{
  "epochs": [
    0.0,
    1.0,
    2.0,
    3.0,
    4.0,
    5.0,
    6.0,
    7.0,
    8.0,
    9.0,
    10.0,
    11.0,
    12.0,
    13.0,
    14.0,
    15.0,
    16.0,
    17.0,
    18.0,
    19.0,
    20.0,
    21.0,
    22.0,
    23.0,
    24.0,
    25.0,
    26.0,
    27.0,
    28.0,
    29.0,
    30.0,
    31.0,
    32.0,
    33.0,
    34.0,
    35.0,
    36.0,
    37.0,
    38.0,
    39.0,
    40.0,
    41.0,
    42.0,
    43.0,
    44.0,
    45.0,
    46.0,
    47.0,
    48.0,
    49.0,
    50.0,
    51.0,
    52.0,
    53.0,
    54.0,
    55.0,
    56.0,
    57.0,
    58.0,
    59.0,
    60.0,
    61.0,
    62.0,
    63.0,
    64.0,
    65.0,
    66.0,
    67.0,
    68.0,
    69.0,
    70.0,
    71.0,
    72.0,
    73.0,
    74.0,
    75.0,
    76.0,
    77.0,
    78.0,
    79.0,
    80.0,
    81.0,
    82.0,
    83.0,
    84.0,
    85.0,
    86.0,
    87.0,
    88.0,
    89.0,
    90.0,
    91.0,
    92.0,
    93.0,
    94.0,
    95.0,
    96.0,
    97.0,
    98.0,
    99.0,
    100.0,
    101.0,
    102.0,
    103.0,
    104.0,
    105.0,
    106.0,
    107.0,
    108.0,
    109.0,
    110.0,
    111.0,
    112.0,
    113.0,
    114.0,
    115.0,
    116.0,
    117.0,
    118.0,
    119.0,
    120.0,
    121.0,
    122.0,
    123.0,
    124.0,
    125.0,
    126.0,
    127.0,
    128.0,
    129.0,
    130.0,
    131.0,
    132.0,
    133.0,
    134.0,
    135.0,
    136.0,
    137.0,
    138.0,
    139.0,
    140.0,
    141.0,
    142.0,
    143.0,
    144.0,
    145.0,
    146.0,
    147.0,
    148.0,
    149.0,
    150.0,
    151.0,
    152.0,
    153.0,
    154.0,
    155.0,
    156.0,
    157.0,
    158.0,
    159.0,
    160.0,
    161.0,
    162.0,
    163.0,
    164.0,
    165.0,
    166.0,
    167.0,
    168.0,
    169.0,
    170.0,
    171.0,
    172.0,
    173.0,
    174.0,
    175.0,
    176.0,
    177.0,
    178.0,
    179.0,
    180.0,
    181.0,
    182.0,
    183.0,
    184.0,
    185.0,
    186.0,
    187.0,
    188.0,
    189.0,
    190.0,
    191.0,
    192.0,
    193.0,
    194.0,
    195.0,
    196.0,
    197.0,
    198.0,
    199.0,
    200.0,
    201.0,
    202.0,
    203.0,
    204.0,
    205.0,
    206.0,
    207.0,
    208.0,
    209.0,
    210.0,
    211.0,
    212.0,
    213.0,
    214.0,
    215.0,
    216.0,
    217.0,
    218.0,
    219.0,
    220.0,
    221.0,
    222.0,
    223.0,
    224.0,
    225.0,
    226.0,
    227.0,
    228.0,
    229.0,
    230.0,
    231.0,
    232.0,
    233.0,
    234.0,
    235.0,
    236.0,
    237.0,
    238.0,
    239.0,
    240.0,
    241.0,
    242.0,
    243.0,
    244.0,
    245.0,
    246.0,
    247.0,
    248.0,
    249.0,
    250.0,
    251.0,
    252.0,
    253.0,
    254.0,
    255.0,
    256.0,
    257.0,
    258.0,
    259.0,
    260.0,
    261.0,
    262.0,
    263.0,
    264.0,
    265.0,
    266.0,
    267.0,
    268.0,
    269.0,
    270.0,
    271.0,
    272.0,
    273.0,
    274.0,
    275.0,
    276.0,
    277.0,
    278.0,
    279.0,
    280.0,
    281.0,
    282.0,
    283.0,
    284.0,
    285.0,
    286.0,
    287.0,
    288.0,
    289.0,
    290.0,
    291.0,
    292.0,
    293.0,
    294.0,
    295.0,
    296.0,
    297.0,
    298.0,
    299.0,
    300.0,
    301.0,
    302.0,
    303.0,
    304.0,
    305.0,
    306.0,
    307.0,
    308.0,
    309.0,
    310.0,
    311.0,
    312.0,
    313.0,
    314.0,
    315.0,
    316.0,
    317.0,
    318.0,
    319.0,
    320.0,
    321.0,
    322.0,
    323.0,
    324.0,
    325.0,
    326.0,
    327.0,
    328.0,
    329.0,
    330.0,
    331.0,
    332.0,
    333.0,
    334.0,
    335.0,
    336.0,
    337.0,
    338.0,
    339.0,
    340.0,
    341.0,
    342.0,
    343.0,
    344.0,
    345.0,
    346.0,
    347.0,
    348.0,
    349.0,
    350.0,
    351.0,
    352.0,
    353.0,
    354.0,
    355.0,
    356.0,
    357.0,
    358.0,
    359.0,
    360.0,
    361.0,
    362.0,
    363.0,
    364.0,
    365.0,
    366.0,
    367.0,
    368.0,
    369.0,
    370.0,
    371.0,
    372.0,
    373.0,
    374.0,
    375.0,
    376.0,
    377.0,
    378.0,
    379.0,
    380.0,
    381.0,
    382.0,
    383.0,
    384.0,
    385.0,
    386.0,
    387.0,
    388.0,
    389.0,
    390.0,
    391.0,
    392.0,
    393.0,
    394.0,
    395.0,
    396.0,
    397.0,
    398.0,
    399.0,
    400.0,
    401.0,
    402.0,
    403.0,
    404.0,
    405.0,
    406.0,
    407.0,
    408.0,
    409.0,
    410.0,
    411.0,
    412.0,
    413.0,
    414.0,
    415.0,
    416.0,
    417.0,
    418.0,
    419.0,
    420.0,
    421.0,
    422.0,
    423.0,
    424.0,
    425.0,
    426.0,
    427.0,
    428.0,
    429.0,
    430.0,
    431.0,
    432.0,
    433.0,
    434.0,
    435.0,
    436.0,
    437.0,
    438.0,
    439.0,
    440.0,
    441.0,
    442.0,
    443.0,
    444.0,
    445.0,
    446.0,
    447.0,
    448.0,
    449.0,
    450.0,
    451.0,
    452.0,
    453.0,
    454.0,
    455.0,
    456.0,
    457.0,
    458.0,
    459.0,
    460.0,
    461.0,
    462.0,
    463.0,
    464.0,
    465.0,
    466.0,
    467.0,
    468.0,
    469.0,
    470.0,
    471.0,
    472.0,
    473.0,
    474.0,
    475.0,
    476.0,
    477.0,
    478.0,
    479.0,
    480.0,
    481.0,
    482.0,
    483.0,
    484.0,
    485.0,
    486.0,
    487.0,
    488.0,
    489.0,
    490.0,
    491.0,
    492.0,
    493.0,
    494.0,
    495.0,
    496.0,
    497.0,
    498.0,
    499.0,
    500.0,
    501.0,
    502.0,
    503.0,
    504.0,
    505.0,
    506.0,
    507.0,
    508.0,
    509.0,
    510.0,
    511.0,
    512.0,
    513.0,
    514.0,
    515.0,
    516.0,
    517.0,
    518.0,
    519.0,
    520.0,
    521.0,
    522.0,
    523.0,
    524.0,
    525.0,
    526.0,
    527.0,
    528.0,
    529.0,
    530.0,
    531.0,
    532.0,
    533.0,
    534.0,
    535.0,
    536.0,
    537.0,
    538.0,
    539.0,
    540.0,
    541.0,
    542.0,
    543.0,
    544.0,
    545.0,
    546.0,
    547.0,
    548.0,
    549.0,
    550.0,
    551.0,
    552.0,
    553.0,
    554.0,
    555.0,
    556.0,
    557.0,
    558.0,
    559.0,
    560.0,
    561.0,
    562.0,
    563.0,
    564.0,
    565.0,
    566.0,
    567.0,
    568.0,
    569.0,
    570.0,
    571.0,
    572.0,
    573.0,
    574.0,
    575.0,
    576.0,
    577.0,
    578.0,
    579.0,
    580.0,
    581.0,
    582.0,
    583.0,
    584.0,
    585.0,
    586.0,
    587.0,
    588.0,
    589.0,
    590.0,
    591.0,
    592.0,
    593.0,
    594.0,
    595.0,
    596.0,
    597.0,
    598.0,
    599.0,
    600.0,
    601.0,
    602.0,
    603.0,
    604.0,
    605.0,
    606.0,
    607.0,
    608.0,
    609.0,
    610.0,
    611.0,
    612.0,
    613.0,
    614.0,
    615.0,
    616.0,
    617.0,
    618.0,
    619.0,
    620.0,
    621.0,
    622.0,
    623.0,
    624.0,
    625.0,
    626.0,
    627.0,
    628.0,
    629.0,
    630.0,
    631.0,
    632.0,
    633.0,
    634.0,
    635.0,
    636.0,
    637.0,
    638.0,
    639.0,
    640.0,
    641.0,
    642.0,
    643.0,
    644.0,
    645.0,
    646.0,
    647.0,
    648.0,
    649.0,
    650.0,
    651.0,
    652.0,
    653.0,
    654.0,
    655.0,
    656.0,
    657.0,
    658.0,
    659.0,
    660.0,
    661.0,
    662.0,
    663.0,
    664.0,
    665.0,
    666.0,
    667.0,
    668.0,
    669.0,
    670.0,
    671.0,
    672.0,
    673.0,
    674.0,
    675.0,
    676.0,
    677.0,
    678.0,
    679.0,
    680.0,
    681.0,
    682.0,
    683.0,
    684.0,
    685.0,
    686.0,
    687.0,
    688.0,
    689.0,
    690.0,
    691.0,
    692.0,
    693.0,
    694.0,
    695.0,
    696.0,
    697.0,
    698.0,
    699.0,
    700.0,
    701.0,
    702.0,
    703.0,
    704.0,
    705.0,
    706.0,
    707.0,
    708.0,
    709.0,
    710.0,
    711.0,
    712.0,
    713.0,
    714.0,
    715.0,
    716.0,
    717.0,
    718.0,
    719.0,
    720.0,
    721.0,
    722.0,
    723.0,
    724.0,
    725.0,
    726.0,
    727.0,
    728.0,
    729.0,
    730.0,
    731.0,
    732.0,
    733.0,
    734.0,
    735.0,
    736.0,
    737.0,
    738.0,
    739.0,
    740.0,
    741.0,
    742.0,
    743.0,
    744.0,
    745.0,
    746.0,
    747.0,
    748.0,
    749.0,
    750.0,
    751.0,
    752.0,
    753.0,
    754.0,
    755.0,
    756.0,
    757.0,
    758.0,
    759.0,
    760.0,
    761.0,
    762.0,
    763.0,
    764.0,
    765.0,
    766.0,
    767.0,
    768.0,
    769.0,
    770.0,
    771.0,
    772.0,
    773.0,
    774.0,
    775.0,
    776.0,
    777.0,
    778.0,
    779.0,
    780.0,
    781.0,
    782.0,
    783.0,
    784.0,
    785.0,
    786.0,
    787.0,
    788.0,
    789.0,
    790.0,
    791.0,
    792.0,
    793.0,
    794.0,
    795.0,
    796.0,
    797.0,
    798.0,
    799.0,
    800.0,
    801.0,
    802.0,
    803.0,
    804.0,
    805.0,
    806.0,
    807.0,
    808.0,
    809.0,
    810.0,
    811.0,
    812.0,
    813.0,
    814.0,
    815.0,
    816.0,
    817.0,
    818.0,
    819.0,
    820.0,
    821.0,
    822.0,
    823.0,
    824.0,
    825.0,
    826.0,
    827.0,
    828.0,
    829.0,
    830.0,
    831.0,
    832.0,
    833.0,
    834.0,
    835.0,
    836.0,
    837.0,
    838.0,
    839.0,
    840.0,
    841.0,
    842.0,
    843.0,
    844.0,
    845.0,
    846.0,
    847.0,
    848.0,
    849.0,
    850.0,
    851.0,
    852.0,
    853.0,
    854.0,
    855.0,
    856.0,
    857.0,
    858.0,
    859.0,
    860.0,
    861.0,
    862.0,
    863.0,
    864.0,
    865.0,
    866.0,
    867.0,
    868.0,
    869.0,
    870.0,
    871.0,
    872.0,
    873.0,
    874.0,
    875.0,
    876.0,
    877.0,
    878.0,
    879.0,
    880.0,
    881.0,
    882.0,
    883.0,
    884.0,
    885.0,
    886.0,
    887.0,
    888.0,
    889.0,
    890.0,
    891.0,
    892.0,
    893.0,
    894.0,
    895.0,
    896.0,
    897.0,
    898.0,
    899.0,
    900.0,
    901.0,
    902.0,
    903.0,
    904.0,
    905.0,
    906.0,
    907.0,
    908.0,
    909.0,
    910.0,
    911.0,
    912.0,
    913.0,
    914.0,
    915.0,
    916.0,
    917.0,
    918.0,
    919.0,
    920.0,
    921.0,
    922.0,
    923.0,
    924.0,
    925.0,
    926.0,
    927.0,
    928.0,
    929.0,
    930.0,
    931.0,
    932.0,
    933.0,
    934.0,
    935.0,
    936.0,
    937.0,
    938.0,
    939.0,
    940.0,
    941.0,
    942.0,
    943.0,
    944.0,
    945.0,
    946.0,
    947.0,
    948.0,
    949.0,
    950.0,
    951.0,
    952.0,
    953.0,
    954.0,
    955.0,
    956.0,
    957.0,
    958.0,
    959.0,
    960.0,
    961.0,
    962.0,
    963.0,
    964.0,
    965.0,
    966.0,
    967.0,
    968.0,
    969.0,
    970.0,
    971.0,
    972.0,
    973.0,
    974.0,
    975.0,
    976.0,
    977.0,
    978.0,
    979.0,
    980.0,
    981.0,
    982.0,
    983.0,
    984.0,
    985.0,
    986.0,
    987.0,
    988.0,
    989.0,
    990.0,
    991.0,
    992.0,
    993.0,
    994.0,
    995.0,
    996.0,
    997.0,
    998.0,
    999.0,
    1000.0
  ],
  "theta_over_epochs": [
    [
      12.566375585867975,
      12.566390520031966,
      12.566415475667034,
      12.566450550931735,
      12.566495883714481,
      12.566551652177973,
      12.566618075456542,
      12.56669541451921,
      12.566783973194045,
      12.566884099361777,
      12.566996186325186,
      12.567120674350335,
      12.567258052395417,
      12.567408860032028,
      12.567573689567572,
      12.567753188367819,
      12.56794806140082,
      12.56815907400534,
      12.568387054898416,
      12.568632899425905,
      12.5688975730822,
      12.569182115299977,
      12.569487643533712,
      12.569815357644423,
      12.570166544615553,
      12.57054258360409,
      12.570944951357347,
      12.571375228010899,
      12.57183510329225,
      12.572326383157371,
      12.572850996882115,
      12.573411004635973,
      12.574008605568059,
      12.574646146445405,
      12.575326130860882,
      12.57605122906583,
      12.576824288447973,
      12.577648344709539,
      12.57852663378163,
      12.579462604523563,
      12.580459932255653,
      12.581522533178902,
      12.582654579740025,
      12.583860516997232,
      12.585145080054856,
      12.586513312626941,
      12.587970586813416,
      12.589522624152176,
      12.591175518042464,
      12.592935757609789,
      12.594810253112215,
      12.596806362991668,
      12.59893192265928,
      12.601195275134774,
      12.603605303647814,
      12.606171466330878,
      12.6089038331283,
      12.611813125050045,
      12.61491075593293,
      12.618208876844589,
      12.621720423296225,
      12.625459165759173,
      12.629439764166353,
      12.633677823680681,
      12.638189954461188,
      12.642993835596158,
      12.648108282955333,
      12.653553321181807,
      12.65935026002857,
      12.665521775263779,
      12.67209199435864,
      12.67908658717835,
      12.68653286187896,
      12.694459866220727,
      12.702898490348618,
      12.711881579079376,
      12.721444054390496,
      12.731623039953242,
      12.742457991694168,
      12.753990834382964,
      12.766266104138623,
      12.779331096655788,
      12.793236020803768,
      12.808034157100122,
      12.82378202035865,
      12.84053952951699,
      12.85837018036015,
      12.877341207367817,
      12.897523748982598,
      12.918993010140964,
      12.941828417453575,
      12.966113763145858,
      12.99193733729759,
      13.019392042135573,
      13.04857546082903,
      13.079589895666137,
      13.112542348002597,
      13.147544405049603,
      13.184712141944024,
      13.224165916068893,
      13.266030037446198,
      13.310432313532905,
      13.357503445759642,
      13.40737625288588,
      13.460184710254282,
      13.516062752583103,
      13.575142781067125,
      13.637553923582146,
      13.70341997746912,
      13.772857020473056,
      13.845970715522892,
      13.922853287116919,
      14.003580071622896,
      14.088205768766635,
      14.176760513090814,
      14.269245821467203,
      14.365630485914025,
      14.465846620399715,
      14.569786076049487,
      14.677297396057181,
      14.788183565066753,
      14.902200795264122,
      15.019058573270984,
      15.138421152133416,
      15.25991060895904,
      15.383111503075964,
      15.507577067599852,
      15.632836758112093,
      15.758404877218537,
      15.883789905594154,
      16.008504109992987,
      16.132072974676845,
      16.2540440180408,
      16.373994608916497,
      16.4915384798077,
      16.606330736613675,
      16.718071273670766,
      16.82650661094139,
      16.931430268664005,
      17.032681807158937,
      17.130144751990635,
      17.22374370313901,
      17.313440949451163,
      17.399232585012182,
      17.481144391384063,
      17.55922773981301,
      17.63355560775363,
      17.70421882273104,
      17.77132257302416,
      17.83498327526947,
      17.895325785588607,
      17.95248095287305,
      18.006583529173735,
      18.057770333618677,
      18.106178727093976,
      18.151945364840945,
      18.195205184825774,
      18.23609057085225,
      18.27473068927082,
      18.311251096236234,
      18.34577341269721,
      18.378415082260585,
      18.409289248982983,
      18.438504696382157,
      18.46616583748474,
      18.492372768937347,
      18.517221365621015,
      18.540803407240418,
      18.56320672979467,
      18.584515396003606,
      18.604809879852652,
      18.624167261296385,
      18.642661427930335,
      18.66036328108034,
      18.677340944320058,
      18.69365997286023,
      18.709383562659365,
      18.72457275841199,
      18.739286659832693,
      18.75358262586751,
      18.767516476656436,
      18.781142693202355,
      18.79451461482391,
      18.807684634568112,
      18.820704392836646,
      18.833624969517096,
      18.846497074981496,
      18.85937124033525,
      18.87229800732042,
      18.885328118281638,
      18.898512706616664,
      18.91190348811232,
      18.925552953547903,
      18.939514562928057,
      18.953842941642158,
      18.968594078813833,
      18.983825528005557,
      18.999596610367668,
      19.015968620191337,
      19.033005032680023,
      19.050771713579284,
      19.06933713008765,
      19.088772562184896,
      19.10915231322819,
      19.130553918254865,
      19.153058347976014,
      19.1767502058805,
      19.201717915241275,
      19.228053892000606,
      19.25585469864082,
      19.285221173038984,
      19.316258525105855,
      19.349076392554636,
      19.38378884555154,
      19.4205143324252,
      19.45937555821733,
      19.50049924340101,
      19.54401578751619,
      19.59005878687577,
      19.63876432556621,
      19.69027019515786,
      19.74471490158036,
      19.80223639908663,
      19.86297055517014,
      19.927049330361804,
      19.99459865653719,
      20.065735909336986,
      20.140567050403856,
      20.219183431283103,
      20.301658268940166,
      20.388042823931382,
      20.47836236532354,
      20.572612049600256,
      20.670752807602298,
      20.7727074229605,
      20.878357016361022,
      20.98753817278074,
      21.100040904766608,
      21.215607741342644,
      21.333934156998517,
      21.45467055935058,
      21.57742586418794,
      21.70177265853107,
      21.827253905223102,
      21.953390958641926,
      22.07969257376809,
      22.20566451028687,
      22.33081928205269,
      22.454685607614,
      22.57681710457995,
      22.69679982842433,
      22.814258420279703,
      22.928860674298896,
      23.040320534690526,
      23.14839947357834,
      23.25290638860142,
      23.353696260215706,
      23.450667778402227,
      23.54376016603351,
      23.63294948759671,
      23.718244654756692,
      23.799683287290897,
      23.877327607331793,
      23.951260490121882,
      24.02158176080996,
      24.08840483160215,
      24.151853645201463,
      24.212059930675455,
      24.26916084657865,
      24.32329695052554,
      24.37461043244829,
      24.423243759216845,
      24.469338559035155,
      24.51303466858726,
      24.55446940363276,
      24.593777006900154,
      24.63108824530206,
      24.666530133865155,
      24.70022576621646,
      24.732294233904167,
      24.762850619146764,
      24.792006047765057,
      24.819867790988695,
      24.846539406606727,
      24.872120911464936,
      24.89670897866934,
      24.920397154024652,
      24.943276087252862,
      24.965433774380358,
      24.98695580843793,
      25.007925636198642,
      25.028424819198072,
      25.048533297714705,
      25.06832965673919,
      25.08789139321116,
      25.107295184056206,
      25.126617154710004,
      25.14593314794161,
      25.16531899288391,
      25.18485077420061,
      25.204605101332113,
      25.224659377752662,
      25.245092070050724,
      25.265982976580883,
      25.28741349523053,
      25.309466889682437,
      25.332228553245752,
      25.355786269005424,
      25.380230464659817,
      25.40565445988683,
      25.43215470349788,
      25.45983099693851,
      25.48878669983362,
      25.51912891234044,
      25.55096862784705,
      25.584420848273638,
      25.619604652696232,
      25.656643208254476,
      25.69566371035897,
      25.736797237067343,
      25.780178500139076,
      25.82594547283603,
      25.874238871936964,
      25.925201469041138,
      25.978977203918316,
      26.035710076020987,
      26.095542784213205,
      26.158614987618108,
      26.225061373985955,
      26.29500937325942,
      26.368576492913007,
      26.445867315141665,
      26.52697014289769,
      26.61195326579328,
      26.700860987025294,
      26.793709474142403,
      26.890482544950373,
      26.991127543230643,
      27.0955514948756,
      27.203617766636263,
      27.31514347243411,
      27.42989788038865,
      27.547602052115888,
      27.667929943495594,
      27.79051112001905,
      27.91493512299557,
      28.040757459617865,
      28.16750706469415,
      28.29469496791956,
      28.42182380184807,
      28.54839771378725,
      28.673932209451113,
      28.79796346223525,
      28.920056668568122,
      29.039813099166977,
      29.156875627552846,
      29.270932631726385,
      29.381720229531037,
      29.489022947881555,
      29.59267299570901,
      29.692548361112955,
      29.788569980522126,
      29.88069823263269,
      29.968928996814157,
      30.053289489931903,
      30.13383407049139,
      30.210640177739595,
      30.28380441679767,
      30.353438932574456,
      30.41966815032089,
      30.482625814703134,
      30.542452440475753,
      30.599293159785066,
      30.653295858443315,
      30.704609620445822,
      30.753383452165522,
      30.799765256300837,
      30.843901025816127,
      30.885934229421213,
      30.926005361997284,
      30.964251635807685,
      31.000806790728266,
      31.035801004344336,
      31.069360885188534,
      31.10160953466033,
      31.132666665260558,
      31.162648764695927,
      31.19166929706955,
      31.219838933791497,
      31.247265808156712,
      31.27405578858852,
      31.300312766486037,
      31.326138955339253,
      31.35163519843814,
      31.376901281334423,
      31.402036250621563,
      31.42713873872141,
      31.452307287834135,
      31.477640674257962,
      31.50323823219445,
      31.529200173185075,
      31.55562790415462,
      31.582624343939884,
      31.610294231333707,
      31.6387444242774,
      31.6680841873844,
      31.698425464294903,
      31.72988313048786,
      31.762575221262853,
      31.796623128435623,
      31.832151757947564,
      31.869289639073916,
      31.9081689740986,
      31.948925615380894,
      31.99169895452206,
      32.036631705924734,
      32.083869564494265,
      32.133560714614624,
      32.18585516495781,
      32.24090388132726,
      32.298857687841426,
      32.35986590567771,
      32.42407469868017,
      32.49162509697046,
      32.56265067384552,
      32.63727479270833,
      32.71560756542487,
      32.79774250887601,
      32.88375276633869,
      32.973687098141404,
      33.067565679136976,
      33.16537576657756,
      33.26706748666102,
      33.37254991045209,
      33.4816876411154,
      33.594298164632086,
      33.71015022508566,
      33.82896347449268,
      33.95040961169363,
      34.07411516299703,
      34.19966597022829,
      34.3266133447353,
      34.45448172779735,
      34.58277758104389,
      34.71099912878992,
      34.83864650062179,
      34.96523178717245,
      35.090288529748705,
      35.21338021427105,
      35.33410742481338,
      35.45211342074967,
      35.567088020313534,
      35.67876978889106,
      35.78694663122744,
      35.89145496524074,
      35.992177707571166,
      36.089041327485454,
      36.18201223100548,
      36.27109275856108,
      36.35631693381275,
      36.43774617882896,
      36.515465131203015,
      36.58957759275549,
      36.66020296908303,
      36.727473027617954,
      36.79152898476353,
      36.85251896453378,
      36.91059581776854,
      36.965915281519365,
      37.01863445216406,
      37.06891054255093,
      37.116899892331084,
      37.16275720099052,
      37.20663495452666,
      37.24868301881988,
      37.28904837514118,
      37.32787497587431,
      37.36530370112426,
      37.40147239935896,
      37.43651599753171,
      37.4705666682674,
      37.503754043557215,
      37.536205466027226,
      37.56804626950195,
      37.5994000795906,
      37.630389140700075,
      37.66113465731851,
      37.69175714148689,
      37.72237676689218,
      37.753113726481295,
      37.784088590621536,
      37.815422662849926,
      37.84723833013081,
      37.879659403536266,
      37.91281144103305,
      37.94682205967438,
      37.98182122815013,
      38.0179415270582,
      38.05531837310373,
      38.0940901983781
    ],
    [
      12.565884374132656,
      12.56442488374521,
      12.561988179483473,
      12.558566550808958,
      12.554148556353743,
      12.548718966420074,
      12.542258687426898,
      12.534744649269399,
      12.52614967816998,
      12.516442480188955,
      12.505587549600781,
      12.493545048686238,
      12.480270675160693,
      12.46571551801148,
      12.44982590008099,
      12.432543197700832,
      12.413803486191586,
      12.393537134263964,
      12.37166887567437,
      12.348117757381537,
      12.322796958128645,
      12.295613617605586,
      12.266468628568692,
      12.235256250016931,
      12.201864160667093,
      12.16617355101495,
      12.12805920433935,
      12.087389708003059,
      12.044027053701647,
      11.997826982244762,
      11.948639773491228,
      11.89631098131462,
      11.840682330950758,
      11.781592883879718,
      11.718880514771342,
      11.652383528547036,
      11.581942798663931,
      11.50740471726742,
      11.42862439799118,
      11.345469361253736,
      11.257823718587627,
      11.16559285823338,
      11.068708583090801,
      10.967134680427518,
      10.860872542669966,
      10.749966718159206,
      10.634510248351424,
      10.514649955063728,
      10.390590411933081,
      10.262595098475428,
      10.130986978008819,
      9.996147254298162,
      9.85851138200666,
      9.718562934554503,
      9.576825009996533,
      9.433849452024303,
      9.290204182377078,
      9.146459985819334,
      9.003177017993874,
      8.860891346896658,
      8.720102634894104,
      8.581263519052326,
      8.444771105670808,
      8.310960828135022,
      8.180102727594761,
      8.052400046190746,
      7.927989886760708,
      7.806945608074641,
      7.689280594112089,
      7.574952745781247,
      7.463869713002863,
      7.355894597804601,
      7.2508514765417535,
      7.148530706456698,
      7.048693876474566,
      6.951078312822753,
      6.855401096087623,
      6.761362583644888,
      6.668649460543444,
      6.576937363705506,
      6.485893140520509,
      6.395176814114676,
      6.304443335814756,
      6.213344211137071,
      6.121529090135658,
      6.028647429178477,
      5.93435036396295,
      5.8382925049323395,
      5.740134434435285,
      5.639545635605043,
      5.536207891014153,
      5.429819338430172,
      5.320098465739484,
      5.206789311700752,
      5.089667921524646,
      4.9685485380554,
      4.843290402572456,
      4.71380598105936,
      4.580070095513791,
      4.44212736644679,
      4.300097073746138,
      4.154177714862975,
      4.004649032570418,
      3.851872543980308,
      3.6962865031750214,
      3.538397158790534,
      3.378767768941207,
      3.218004767026815,
      3.0567412315119444,
      2.8956187051475517,
      2.7352689936367662,
      2.57629585866463,
      2.419258587985727,
      2.2646577310331795,
      2.1129238973632183,
      1.9644100462625886,
      1.8193869213815923,
      1.6780419066537988,
      1.5404809052510566,
      1.4067323779324623,
      1.2767530238601956,
      1.1504345472567645,
      1.027611006462807,
      0.9080663069419183,
      0.7915415047800627,
      0.6777416678863053,
      0.5663421606646646,
      0.4569943477483692,
      0.3493306607785185,
      0.24296894617364373,
      0.1375164137370845,
      0.032573071820862554,
      -0.07226519517874137,
      -0.17740346864478307,
      -0.2832447630884181,
      -0.3901869607757228,
      -0.4986195408724042,
      -0.6089201229079346,
      -0.7214504828172321,
      -0.8365515274354058,
      -0.9545381320693879,
      -1.0756933246819338,
      -1.2002615122619773,
      -1.3284413302237643,
      -1.4603781684794148,
      -1.5961564433169506,
      -1.7357923385551608,
      -1.8792273511973756,
      -2.0263231824008225,
      -2.176858576740858,
      -2.3305287034420292,
      -2.486947594340999,
      -2.645654002051428,
      -2.8061208411382284,
      -2.967768067362301,
      -3.1299784374670323,
      -3.292115125981325,
      -3.4535406045456765,
      -3.6136356873544546,
      -3.771817423497408,
      -3.9275547097676764,
      -4.0803811590941566,
      -4.229904064288742,
      -4.375810173079769,
      -4.5178683692116275,
      -4.655929102348016,
      -4.789921216194454,
      -4.919846818896464,
      -5.045774998170058,
      -5.1678344006067976,
      -5.2862057167897945,
      -5.401114285836931,
      -5.512823166235334,
      -5.621626555777598,
      -5.727843800984738,
      -5.831814218156664,
      -5.933892491515947,
      -6.0344447672842145,
      -6.133845280781966,
      -6.232473381446943,
      -6.330711026707198,
      -6.428940462086355,
      -6.527541967740499,
      -6.626891595703313,
      -6.7273587987437224,
      -6.829303755634456,
      -6.933074360476671,
      -7.039002805626074,
      -7.147401657677861,
      -7.25855940559669,
      -7.372735381706108,
      -7.490154098019617,
      -7.610999119498145,
      -7.7354065952574675,
      -7.863458680631763,
      -7.995177167804386,
      -8.130517588753747,
      -8.2693643248681,
      -8.411527277772679,
      -8.556740570668305,
      -8.704663681429214,
      -8.854885387061632,
      -9.006930702074762,
      -9.160270774886117,
      -9.314335412336108,
      -9.468527765457797,
      -9.622240468737823,
      -9.77487224499026,
      -9.925844228761116,
      -10.074614841772828,
      -10.220692328196574,
      -10.363644864238477,
      -10.503107669479778,
      -10.638787101470045,
      -10.770461857907682,
      -10.897981727087467,
      -11.021264319086459,
      -11.140290259003411,
      -11.255097340388087,
      -11.365774175065564,
      -11.472453669932548,
      -11.575306413035626,
      -11.674534452180271,
      -11.770365670758329,
      -11.863048718929422,
      -11.952848537317424,
      -12.040042567897583,
      -12.124917569238118,
      -12.207766977443,
      -12.288888803495334,
      -12.368584036887784,
      -12.447155146876913,
      -12.52490496243349,
      -12.602135796423285,
      -12.679148732490452,
      -12.756242982211544,
      -12.833715254853226,
      -12.911859081999047,
      -12.990964037041286,
      -13.071314790848085,
      -13.153189946120536,
      -13.236860594406647,
      -13.322588536173464,
      -13.410624121963695,
      -13.501203687993973,
      -13.594546622459609,
      -13.690851901991742,
      -13.79029406078895,
      -13.893018825970291,
      -13.99913841371539,
      -14.108726599397636,
      -14.221813728134672,
      -14.338381883723626,
      -14.458360483296804,
      -14.581622606800115,
      -14.707982396610978,
      -14.837193865114532,
      -14.968951419984961,
      -15.102892357256145,
      -15.238601464828488,
      -15.375617724075463,
      -15.513442999507316,
      -15.651552406213616,
      -15.789405902296352,
      -15.92646055732283,
      -16.062182844085623,
      -16.196060324693274,
      -16.327612179478137,
      -16.45639810366673,
      -16.582025249602133,
      -16.70415305147946,
      -16.822495925718318,
      -16.936823976319506,
      -17.046962194726067,
      -17.15278789890982,
      -17.25422681924852,
      -17.351248738893453,
      -17.443862670405508,
      -17.53211174362613,
      -17.616068122135612,
      -17.695828420418444,
      -17.77150884520528,
      -17.843240968553,
      -17.911167925048343,
      -17.975441090233282,
      -18.03621750109558,
      -18.09365734899301,
      -18.147921765779177,
      -18.19917117837516,
      -18.247563984413812,
      -18.293255508818092,
      -18.33639720304179,
      -18.37713605088835,
      -18.41561414879047,
      -18.451968431222173,
      -18.486330516010366,
      -18.518826647251956,
      -18.549577717006414,
      -18.57869934975767,
      -18.606302036074375,
      -18.632491304133374,
      -18.65736792011977,
      -18.681028109557037,
      -18.703563836566172,
      -18.7250630576899,
      -18.745609954066865,
      -18.765285166672047,
      -18.784166031756584,
      -18.802326836369303,
      -18.81983907136039,
      -18.836771680730266,
      -18.85319130698403,
      -18.86916253182678,
      -18.88474811229615,
      -18.900009212148394,
      -18.915005628901568,
      -18.92979601640277,
      -18.944438103450974,
      -18.95898890883051,
      -18.973504952869877,
      -18.988042466171965,
      -19.002657595762333,
      -19.017406608977996,
      -19.03234609544212,
      -19.047533167377036,
      -19.06302565841177,
      -19.078882321188022,
      -19.09516302354303,
      -19.111928943230883,
      -19.12924276094044,
      -19.14716885133955,
      -19.165773471235507,
      -19.185124944222885,
      -19.20529384043577,
      -19.226353150105243,
      -19.24837847459638,
      -19.271448192201973,
      -19.29564357856999,
      -19.321048977797638,
      -19.347751886621246,
      -19.375843001471196,
      -19.40541626374644,
      -19.4365688655653,
      -19.469401207892734,
      -19.5040168013631,
      -19.540522098751996,
      -19.57902624683192,
      -19.619640743489583,
      -19.6624789845271,
      -19.707655683180224,
      -19.75528614421775,
      -19.805485373166523,
      -19.858367001201238,
      -19.914042006368856,
      -19.972617213333063,
      -20.034193556326517,
      -20.098864094671928,
      -20.166711776712116,
      -20.23780695693,
      -20.312204764048836,
      -20.38994238543998,
      -20.471035794591113,
      -20.55547653999048,
      -20.643228613915955,
      -20.73422550274078,
      -20.82836740269683,
      -20.925518833498227,
      -21.025507029474824,
      -21.128120789078523,
      -21.233110156190673,
      -21.340187256908177,
      -21.44902824266582,
      -21.559276379167535,
      -21.670546257277678,
      -21.78242903273496,
      -21.894498532431825,
      -22.0063180026685,
      -22.117447226773415,
      -22.227449710976202,
      -22.33589963223771,
      -22.44238826054737,
      -22.546529607906702,
      -22.647965148743943,
      -22.746367653410637,
      -22.84144356370656,
      -22.932934255009226,
      -23.02061629118522,
      -23.10430066138485,
      -23.183831453833122,
      -23.259083952507794,
      -23.32996173160975,
      -23.39639365424614,
      -23.45833076407766,
      -23.51574312016144,
      -23.568616675316772,
      -23.616950277107573,
      -23.660752849503254,
      -23.700040796041776,
      -23.734835649479685,
      -23.76516198128723,
      -23.791045586766145,
      -23.8125121018215,
      -23.829585651970326,
      -23.842287720362915,
      -23.85063643108818,
      -23.854645973950795,
      -23.854326030024133,
      -23.84968154079968,
      -23.840712754205548,
      -23.827415430736394,
      -23.80978127773431,
      -23.78779860222933,
      -23.76145319113132,
      -23.730729621066057,
      -23.695612661904963,
      -23.656088367915217,
      -23.612146039000116,
      -23.563780351745383,
      -23.510993662082765,
      -23.453798477152063,
      -23.39222050604088,
      -23.326301870363977,
      -23.25610344814612,
      -23.181707706167376,
      -23.10322156830221,
      -23.02077926284475,
      -22.93454514031789,
      -22.84471511047904,
      -22.751517592109753,
      -22.65521397357458,
      -22.556098189272035,
      -22.454495312722447,
      -22.35075911369413,
      -22.245268578737335,
      -22.138423454356293,
      -22.030638934075366,
      -21.92233966870134,
      -21.813953327705573,
      -21.705903973303123,
      -21.59860552283435,
      -21.492455568688946,
      -21.387829798384665,
      -21.285077214069908,
      -21.184516295189834,
      -21.086432186621753,
      -20.991074933438664,
      -20.8986587273881,
      -20.809362084136268,
      -20.72332883548461,
      -20.640669799600378,
      -20.561464982202953,
      -20.485766162870913,
      -20.413599729582785,
      -20.344969924529046,
      -20.27986206391422,
      -20.218245013644903,
      -20.16007390308305,
      -20.105292746694868,
      -20.05383686354456,
      -20.005635462647067,
      -19.96061365219396,
      -19.91869376899361,
      -19.87979690792482,
      -19.843844266549077,
      -19.810758307114778,
      -19.78046371316209,
      -19.7528882124871,
      -19.727963287582657,
      -19.70562463887912,
      -19.68581264512927,
      -19.66847295044906,
      -19.653556776711095,
      -19.64102108494773,
      -19.630828767702692,
      -19.62294879641085,
      -19.617356345918807,
      -19.614032955526902,
      -19.612966528061918,
      -19.61415131018741,
      -19.617587880349237,
      -19.62328311205895,
      -19.63125012184556,
      -19.641508191461778,
      -19.654082661743587,
      -19.66900488029685,
      -19.68631203764848,
      -19.706046856264543,
      -19.728257357182247,
      -19.752996605715673,
      -19.780322339341566,
      -19.81029642031389,
      -19.842984186588073,
      -19.878453765604604,
      -19.916775264133623,
      -19.958019818852243,
      -20.002258491970103,
      -20.049560997305846,
      -20.099994243520822,
      -20.153620683783842,
      -20.21049646543501
    ],
    [
      12.566112564329014,
      12.565337595492922,
      12.564042972834589,
      12.562223943747734,
      12.559873720723102,
      12.556983456094578,
      12.5535422088915,
      12.549536903717168,
      12.544952281505413,
      12.53977084206831,
      12.533972778349746,
      12.52753587072472,
      12.520435385215698,
      12.512644022741345,
      12.504131823668061,
      12.494866057752619,
      12.484811105117222,
      12.47392832808846,
      12.462175934150963,
      12.44950883004787,
      12.435878562113498,
      12.421233122690115,
      12.405516713576747,
      12.388669582506068,
      12.370627842414661,
      12.351323286884943,
      12.330683203852153,
      12.308630190088056,
      12.285081969808456,
      12.25995122147842,
      12.233145417877902,
      12.204566685644979,
      12.174111691883493,
      12.141671567127114,
      12.107131855038498,
      12.070372500973775,
      12.031268003074176,
      11.989687626359542,
      11.945495719509115,
      11.898552011850825,
      11.848712128441303,
      11.795828625623361,
      11.739752077104042,
      11.680332397104152,
      11.617420418137796,
      11.550869800094215,
      11.480540115070442,
      11.406299729324505,
      11.328028315612322,
      11.24562044217597,
      11.158989598562728,
      11.068072590587246,
      10.972834227085293,
      10.873272180902772,
      10.769421861658698,
      10.661361090860472,
      10.549214529559222,
      10.433157481619158,
      10.313417760074158,
      10.190276511207937,
      10.064068509713158,
      9.935179922457333,
      9.804042755984828,
      9.671128276093397,
      9.536938761682745,
      9.401998130784271,
      9.26684090467194,
      9.132000177855597,
      8.997995991055841,
      8.86532427269677,
      8.734446881529056,
      8.605783183185222,
      8.479703461265746,
      8.356524316277374,
      8.236506061016225,
      8.119851994810139,
      8.006709340636148,
      7.89717180500761,
      7.791283040805395,
      7.689040397915312,
      7.590399547281917,
      7.495279197402316,
      7.403566082623229,
      7.3151200402330545,
      7.229778028884804,
      7.147357773394716,
      7.067661258846242,
      6.990477781530585,
      6.91558656038724,
      6.842758928663662,
      6.771760136031927,
      6.7023507982471795,
      6.634288035184775,
      6.567326339463472,
      6.501218218135875,
      6.435714648939669,
      6.370565391500856,
      6.305519192621007,
      6.240323923908182,
      6.174726689400799,
      6.108473940994998,
      6.041311640076852,
      5.972985505044528,
      5.903241386415766,
      5.831825808797744,
      5.758486700695888,
      5.682974876819522,
      5.605045534729558,
      5.5244596056269,
      5.440986508504193,
      5.354407111519373,
      5.264516283269801,
      5.1711266884401885,
      5.074073835387279,
      4.973222460148167,
      4.868471560322043,
      4.759759930699023,
      4.647072896068931,
      4.530444926583165,
      4.409966426929941,
      4.285788980487306,
      4.1581286646707,
      4.0272658884606525,
      3.8935416258781217,
      3.757355295099547,
      3.6191593905130244,
      3.4794537307897557,
      3.3387748693622714,
      3.1976834725997807,
      3.056752863789576,
      2.916556867280608,
      2.7776557570921794,
      2.640583506603743,
      2.505837105532651,
      2.3738670916991182,
      2.245070660397869,
      2.1197869048325773,
      1.9982942780240829,
      1.88081024948645,
      1.7674929620090518,
      1.6584443776874362,
      1.5537144269489955,
      1.4533060730853626,
      1.3571810833627704,
      1.2652654523088251,
      1.177454620106174,
      1.0936186893455642,
      1.0136072534985225,
      0.9372537604378931,
      0.8643793712531272,
      0.7947963469884647,
      0.7283110442635424,
      0.6647266246600619,
      0.6038444938780373,
      0.5454659048801755,
      0.4893933465773088,
      0.43543125651724673,
      0.3833866718645659,
      0.33306969657200697,
      0.2842937856551753,
      0.2368758076047436,
      0.19063588919184327,
      0.14539749349437567,
      0.10098735556449007,
      0.05723531389781864,
      0.01397416687220801,
      -0.028960678918353792,
      -0.07173165772801268,
      -0.1144994114750792,
      -0.15742297449096163,
      -0.20066021627163147,
      -0.24436804270635093,
      -0.2887027066193443,
      -0.3338201873168746,
      -0.37987620971101776,
      -0.4270261353986351,
      -0.47542493580691125,
      -0.5252270935973066,
      -0.5765863987895274,
      -0.6296557915880365,
      -0.6845869903834596,
      -0.7415296318439821,
      -0.8006304001486716,
      -0.8620318467687252,
      -0.9258711598675802,
      -0.9922787887315929,
      -1.0613766084816005,
      -1.1332756673131532,
      -1.20807410249868,
      -1.2858543838698608,
      -1.3666804147399991,
      -1.4505946883011132,
      -1.5376151283284274,
      -1.6277320637148276,
      -1.7209050808659985,
      -1.8170600365414096,
      -1.9160864332446585,
      -2.017835201570061,
      -2.1221171213287593,
      -2.2287022778464705,
      -2.337320324752114,
      -2.4476617328643617,
      -2.5593799959910957,
      -2.6720952955587918,
      -2.7853997530071233,
      -2.8988633372582258,
      -3.012040584150962,
      -3.1244778663534225,
      -3.235720909858694,
      -3.345322233597987,
      -3.452848163031699,
      -3.5578849904577536,
      -3.6600445066269818,
      -3.7589679789969463,
      -3.854329244579421,
      -3.945837287358296,
      -4.033237132883171,
      -4.11630965829574,
      -4.1948708877380625,
      -4.268770204736471,
      -4.337887534022529,
      -4.402130506362601,
      -4.461431590323519,
      -4.5157453662533,
      -4.565044657569963,
      -4.609316889427789,
      -4.64856176001812,
      -4.682788046802692,
      -4.71201053581528,
      -4.736248641072507,
      -4.755524856793525,
      -4.769863905781264,
      -4.779291360231448,
      -4.7838328487730815,
      -4.783514468735952,
      -4.778363141455833,
      -4.768406024252289,
      -4.753670395827505,
      -4.73418279487068,
      -4.7099683348787815,
      -4.681053810954032,
      -4.647469816087744,
      -4.609252113004344,
      -4.566443400533986,
      -4.519094198225361,
      -4.4672655523592155,
      -4.411034127826204,
      -4.350492836732144,
      -4.2857536546905495,
      -4.2169502678131,
      -4.1442388527327125,
      -4.067798362199801,
      -3.987832072339064,
      -3.904569140688123,
      -3.818263418149114,
      -3.7291938989957636,
      -3.637664063514285,
      -3.5439980709578984,
      -3.4485395946663924,
      -3.351650649216299,
      -3.253709132222043,
      -3.1551043678829886,
      -3.056232220059582,
      -2.9574898380745447,
      -2.8592705240931675,
      -2.7619585457772753,
      -2.6659238316984135,
      -2.5715176329004428,
      -2.4790690079926807,
      -2.388881602278858,
      -2.301231412368539,
      -2.2163653837803525,
      -2.134500793680661,
      -2.0558254283602544,
      -1.9804984037314364,
      -1.9086515259942718,
      -1.840391081849852,
      -1.775799959267111,
      -1.7149400690729721,
      -1.65785476928477,
      -1.6045712774251673,
      -1.5551029258431457,
      -1.5094502530988907,
      -1.4676039645234977,
      -1.429548315700908,
      -1.3952625863013661,
      -1.3647214829639898,
      -1.3378960584696276,
      -1.3147546999583035,
      -1.2952653285397848,
      -1.279395127440299,
      -1.2671111691618715,
      -1.2583829444502563,
      -1.2531833856055647,
      -1.2514884272296236,
      -1.253277265185346,
      -1.258533025732064,
      -1.2672422093014766,
      -1.2793952663939154,
      -1.2949862503365768,
      -1.3140114923626733,
      -1.336467968622998,
      -1.3623528893892909,
      -1.391663113520763,
      -1.4243944910209063,
      -1.4605409495968231,
      -1.5000932717793878,
      -1.5430374931350523,
      -1.5893531702743997,
      -1.6390118345568498,
      -1.6919752556531773,
      -1.748193462941753,
      -1.8076027824940826,
      -1.8701240849734726,
      -1.9356613912616987,
      -2.0041001997427137,
      -2.075305764133725,
      -2.149121832927686,
      -2.225369731844293,
      -2.3038478441815737,
      -2.3843315540280887,
      -2.466573705908469,
      -2.550305618636042,
      -2.635238670372663,
      -2.7210664468537,
      -2.8074674147117555,
      -2.8941078541740954,
      -2.9806453639846784,
      -3.0667327137549516,
      -3.1520216995142416,
      -3.2361673705420055,
      -3.3188317567552246,
      -3.399687441336146,
      -3.478420786764751,
      -3.554734783861174,
      -3.628351588483295,
      -3.6990140591805734,
      -3.7664868382622365,
      -3.8305569895155323,
      -3.891034147049234,
      -3.9477502244874585,
      -4.000558751102692,
      -4.0493340383943,
      -4.093969961778298,
      -4.1343782667862365,
      -4.170487330713612,
      -4.2022400720039945,
      -4.229591865584444,
      -4.25251013485475,
      -4.2709730932667895,
      -4.284968977076627,
      -4.294495093622553,
      -4.299557197923042,
      -4.3001694846821525,
      -4.29635511119191,
      -4.288145909313403,
      -4.2755819232624175,
      -4.25871029885249,
      -4.237584827987173,
      -4.212267313739656,
      -4.182829627441664,
      -4.149354397123119,
      -4.111935974480016,
      -4.070680407567033,
      -4.025706954707907,
      -3.9771513090655626,
      -3.925165092140825,
      -3.8699171577001295,
      -3.8115945033185192,
      -3.7504009281248627,
      -3.6865568570475595,
      -3.6202980090589465,
      -3.5518747861787245,
      -3.481552093113414,
      -3.409607835905224,
      -3.3363299428680597,
      -3.2620142376683505,
      -3.186963225930867,
      -3.111483798419575,
      -3.035884136179382,
      -2.9604706184041927,
      -2.8855447604511717,
      -2.8114004794725225,
      -2.738322331002437,
      -2.6665836945903774,
      -2.5964447079086805,
      -2.528150553372161,
      -2.4619299436273328,
      -2.3979939602599893,
      -2.336535700764828,
      -2.277730143253826,
      -2.2217340402820827,
      -2.1686855934189033,
      -2.118705433350434,
      -2.071897763668426,
      -2.0283513280455994,
      -1.9881405209519367,
      -1.9513265869107501,
      -1.9179587550226167,
      -1.888073716178542,
      -1.8616968832023095,
      -1.838844893401341,
      -1.8195272704491205,
      -1.8037469915169726,
      -1.7915029611486741,
      -1.7827893667215644,
      -1.7775957679152696,
      -1.7759089870712905,
      -1.7777129486763055,
      -1.782987938059953,
      -1.791710978054932,
      -1.8038555458963805,
      -1.8193913933022183,
      -1.8382839605841248,
      -1.8604934307210066,
      -1.8859733900987457,
      -1.9146703917309704,
      -1.946523607259596,
      -1.9814640246349062,
      -2.0194139951728127,
      -2.060286291652988,
      -2.1039831976861296,
      -2.15039565812492,
      -2.1994025024787764,
      -2.25086977480661,
      -2.3046502039239094,
      -2.3605828476001642,
      -2.4184929423321835,
      -2.4781919865864683,
      -2.5394780806656745,
      -2.602136538559423,
      -2.6659407791372978,
      -2.7306534940747205,
      -2.7960281579921973,
      -2.861810737838848,
      -2.927741474620269,
      -2.993556909011181,
      -3.05899202768978,
      -3.1237824646717236,
      -3.1876666993054634,
      -3.250388196290769,
      -3.311697432497528,
      -3.3713537534451965,
      -3.42912703127297,
      -3.484799092580123,
      -3.5381648952925926,
      -3.5890334467962304,
      -3.6372284646912303,
      -3.6825887917380182,
      -3.7249684258164253,
      -3.7642364846285146,
      -3.8002772981744064,
      -3.8329901078716353,
      -3.862287635583069,
      -3.888095547484246,
      -3.9103526750016115,
      -3.9290103530489113,
      -3.9440318212811274,
      -3.9553918605545495,
      -3.9630763421435664,
      -3.96708204407804,
      -3.967416620928667,
      -3.964099057674919,
      -3.957159457023852,
      -3.946638602640062,
      -3.932587090408374,
      -3.915064665861636,
      -3.894140699588428,
      -3.869894882993216,
      -3.8424182039968886,
      -3.8118130000612758,
      -3.7781932397453364,
      -3.7416839226629035,
      -3.702421464442384,
      -3.6605552436246556,
      -3.616246789292417,
      -3.5696694705664784,
      -3.521008736301789,
      -3.470461608264282,
      -3.418235074194337,
      -3.364544480314306,
      -3.3096126413528872,
      -3.253668274685668,
      -3.1969443077309054,
      -3.1396768461600515,
      -3.0821037965132945,
      -3.024462646944452,
      -2.966989190782536,
      -2.9099159347268557,
      -2.8534704448456747,
      -2.7978738235712135,
      -2.7433392994838455,
      -2.6900709034087975,
      -2.6382624921615316,
      -2.588096931350486,
      -2.539745421813003,
      -2.4933669962446676,
      -2.449108247400012,
      -2.407103242338982,
      -2.367473590302313
    ],
    [
      12.566038923038995,
      12.565043140849774,
      12.56338027689049,
      12.561044761479117,
      12.55802842799544,
      12.554320485632399,
      12.549907485663159,
      12.54477327087787,
      12.538898915059356,
      12.532262654654483,
      12.524839810358577,
      12.516602687773586,
      12.50752036465558,
      12.49755860874649,
      12.486679845432567,
      12.474843026708662,
      12.462003490450153,
      12.44811281022244,
      12.43311863629874,
      12.416964459827515,
      12.39958939823469,
      12.380928102621734,
      12.360910584625636,
      12.339462030341773,
      12.316502615924257,
      12.291947328655901,
      12.265705798095826,
      12.23768214339592,
      12.207774843865645,
      12.175876641528758,
      12.14187448631118,
      12.105649536503185,
      12.067077229680473,
      12.026027441995799,
      11.982364756448165,
      11.935948864298798,
      11.886634908683797,
      11.834274140198591,
      11.778715155944077,
      11.719805167572403,
      11.657391544737782,
      11.591324189340812,
      11.521458255495274,
      11.447655627336593,
      11.369788115683154,
      11.28774124597629,
      11.201418268267123,
      11.11074457627207,
      11.01567225955735,
      10.916185065531703,
      10.812303710719437,
      10.704091238606853,
      10.59165786552796,
      10.475164205188573,
      10.3548239129375,
      10.230905005928623,
      10.103730137520646,
      9.973675029570241,
      9.8411646725767,
      9.706667967255372,
      9.570688949320663,
      9.433756476398434,
      9.296413025828194,
      9.159202692519262,
      9.0226589943135,
      8.887293110631166,
      8.75358313897141,
      8.621964859382297,
      8.492824362770005,
      8.366492745023468,
      8.243242923308436,
      8.123288444153808,
      8.006784085951736,
      7.8938279901349,
      7.7844649815932225,
      7.678690742675432,
      7.576456726779108,
      7.4776755017675605,
      7.382225255005793,
      7.289954470093561,
      7.200686435036866,
      7.114223361569488,
      7.0303500632490765,
      6.948837171444341,
      6.869443868830585,
      6.79192014527446,
      6.716008801822378,
      6.641447032808632,
      6.56796766392615,
      6.49530012347086,
      6.423171196787173,
      6.351305614075613,
      6.279426521317697,
      6.207255884076611,
      6.134514802811191,
      6.0609238863358845,
      5.986203827957464,
      5.910076055512063,
      5.832263567011339,
      5.752492017822707,
      5.670491301673291,
      5.585998006499978,
      5.498757099267123,
      5.408525308131559,
      5.315075277353851,
      5.2181991780706785,
      5.117712096147976,
      5.013456715993461,
      4.905308278678886,
      4.793179476933664,
      4.67702945113435,
      4.556868944566347,
      4.432765148912363,
      4.304852726624297,
      4.173337358283893,
      4.03849095858721,
      3.900650034917599,
      3.760214599182454,
      3.6176439367825903,
      3.4734492233178207,
      3.3281808637358345,
      3.1824174395899303,
      3.0367516994114587,
      2.891775211771258,
      2.748064576731721,
      2.6061670781352193,
      2.4665887750197766,
      2.32978525930392,
      2.1961542214589143,
      2.0660306710879754,
      1.9396848598643943,
      1.8173218308847057,
      1.6990832065367285,
      1.5850506243299751,
      1.4752503505303962,
      1.36965875584893,
      1.2682081770281743,
      1.1707928697113645,
      1.0772748169152766,
      0.9874892093336893,
      0.9012494731070873,
      0.8183517716997525,
      0.7385789497058816,
      0.6617039182990118,
      0.5874925482825724,
      0.5157062634597492,
      0.44610379380187504,
      0.37844256249349356,
      0.3124801922839167,
      0.2479752975299438,
      0.18468800986737244,
      0.1223806748748017,
      0.06081783398718987,
      -0.00023431476644014682,
      -0.06100774214278948,
      -0.12173219190301113,
      -0.18263517503608073,
      -0.24394197115545393,
      -0.3058756729933977,
      -0.368656987799441,
      -0.43250376095544724,
      -0.49763058167919993,
      -0.5642484398494403,
      -0.6325640090426982,
      -0.702778698156804,
      -0.7750874482513463,
      -0.84967724546809,
      -0.9267252845213203,
      -1.0063966023613604,
      -1.0888417385442555,
      -1.1741941648784773,
      -1.2625670931640358,
      -1.3540499810989934,
      -1.4487048317780942,
      -1.5465623263494002,
      -1.647617992192097,
      -1.7518285795648803,
      -1.8591086144442002,
      -1.9693273082889409,
      -2.0823061529796596,
      -2.1978179550541044,
      -2.315586926027304,
      -2.4352900709990983,
      -2.556559904773812,
      -2.6789883059656416,
      -2.8021327892674215,
      -2.9255240433898377,
      -3.0486742240771125,
      -3.1710859603915034,
      -3.2922617607409568,
      -3.4117136311694605,
      -3.528971523639822,
      -3.643590754966425,
      -3.7551586399534806,
      -3.8632998334464914,
      -3.967679458765346,
      -4.068005453888736,
      -4.164029233546741,
      -4.25554403252383,
      -4.342382160856802,
      -4.42441234270767,
      -4.501536376574567,
      -4.5736861258603545,
      -4.640820096431255,
      -4.702919465303433,
      -4.759984146792337,
      -4.812029384230236,
      -4.859082491894278,
      -4.901179248856977,
      -4.93836024779158,
      -4.970668865565274,
      -4.998149531358826,
      -5.020846453909868,
      -5.0388028113486545,
      -5.0520575245587835,
      -5.060644118073044,
      -5.06459149673259,
      -5.063923301702225,
      -5.058657890102519,
      -5.048808345238376,
      -5.0343810144474705,
      -5.0153766011183905,
      -4.9917923380119635,
      -4.963623138595042,
      -4.930863950083543,
      -4.8935103016766,
      -4.851559942825063,
      -4.805015025765303,
      -4.753882746140405,
      -4.698178652537531,
      -4.637931615093075,
      -4.573184468351828,
      -4.5039967133987355,
      -4.4304504565915845,
      -4.352654243684723,
      -4.2707429309482,
      -4.18487824463234,
      -4.095251768547376,
      -4.00208627972309,
      -3.9056351156206386,
      -3.80618233701879,
      -3.7040413691952336,
      -3.5995547286263494,
      -3.493092542293775,
      -3.385050510075695,
      -3.2758455387745795,
      -3.165909694263237,
      -3.0556833939541246,
      -2.9456088389163892,
      -2.8361232027370984,
      -2.7276525209822133,
      -2.6206054530028515,
      -2.5153667803727844,
      -2.4122924769451224,
      -2.3117057749188468,
      -2.2138948722686154,
      -2.1191116563941432,
      -2.0275712729867412,
      -1.9394527611388481,
      -1.8549004351582643,
      -1.7740258552593666,
      -1.6969103032166108,
      -1.6236075863036517,
      -1.5541471403870428,
      -1.488537189171184,
      -1.4267680587302027,
      -1.3688153244884207,
      -1.3146423948025983,
      -1.2642030413712682,
      -1.217443892065734,
      -1.1743066265625193,
      -1.1347290772137126,
      -1.0986473195505828,
      -1.0659979507657977,
      -1.0367192698226502,
      -1.0107525102607016,
      -0.9880426882134619,
      -0.9685375275910775,
      -0.9521884206400466,
      -0.9389517434320629,
      -0.9287880076551418,
      -0.9216634313827473,
      -0.9175508164142617,
      -0.9164300567949906,
      -0.918287697583373,
      -0.923116720947562,
      -0.9309165467629573,
      -0.9416924329373079,
      -0.9554543084329402,
      -0.972217248332667,
      -0.9920012777311148,
      -1.0148317003503067,
      -1.0407383158521863,
      -1.0697541429284674,
      -1.1019146360642929,
      -1.1372571027230975,
      -1.1758197083464756,
      -1.217640220915041,
      -1.2627546683968296,
      -1.3111958247349909,
      -1.362991499821857,
      -1.4181626279890303,
      -1.4767212086384873,
      -1.538668130262176,
      -1.603990779245462,
      -1.6726604533406475,
      -1.7446300012939817,
      -1.8198316769111011,
      -1.898174775023546,
      -1.9795431521576474,
      -2.0637931154939406,
      -2.1507518022605265,
      -2.240216410830392,
      -2.3319538553745405,
      -2.425701097019675,
      -2.5211662529519407,
      -2.6180305228295846,
      -2.715950934659076,
      -2.814563868302479,
      -2.91348927622806,
      -3.0123355860744385,
      -3.1107049535465476,
      -3.208198497747242,
      -3.304421627628012,
      -3.398989400713404,
      -3.4915318095861734,
      -3.581697612281883,
      -3.6691575808419628,
      -3.753607219276759,
      -3.834768379006078,
      -3.9123897946949624,
      -3.98624730998472,
      -4.056143603489858,
      -4.121908112489901,
      -4.183395898289992,
      -4.240485911110721,
      -4.293078864477603,
      -4.34109513108635,
      -4.384472946586907,
      -4.42316593210017,
      -4.457140209111303,
      -4.486373126959526,
      -4.510851553861792,
      -4.530570609477301,
      -4.545532875503524,
      -4.555745041178597,
      -4.561218135748325,
      -4.561967331829748,
      -4.558011749573326,
      -4.5493743579465695,
      -4.536080066120458,
      -4.518156302872202,
      -4.495636057659851,
      -4.468558979687351,
      -4.4369731663722725,
      -4.400935290013382,
      -4.360512448961354,
      -4.315782680661192,
      -4.266836579860049,
      -4.213781124468318,
      -4.156740031220174,
      -4.09585451657926,
      -4.031286276862567,
      -3.963220713235562,
      -3.8918657193902004,
      -3.817451396839872,
      -3.7402276732214803,
      -3.660465417014856,
      -3.5784541263144365,
      -3.4945002850623217,
      -3.40892731778629,
      -3.322071598749751,
      -3.2342788454380145,
      -3.145900656502736,
      -3.057292255810556,
      -2.9688094720594282,
      -2.8808047243614903,
      -2.7936228810794446,
      -2.707597388046062,
      -2.623047069622027,
      -2.540273167921669,
      -2.4595569016052736,
      -2.3811576342710103,
      -2.3053116454657387,
      -2.2322314926650115,
      -2.162105928648398,
      -2.095100338370597,
      -2.0313576219358835,
      -1.9709993736187243,
      -1.9141271349271303,
      -1.8608233339953921,
      -1.8111537622081233,
      -1.7651698448100275,
      -1.722909824827265,
      -1.684399900645974,
      -1.6496562239801764,
      -1.6186852865876247,
      -1.5914852954720315,
      -1.5680476797018892,
      -1.5483590676899084,
      -1.53240329550467,
      -1.5201657018294785,
      -1.5116332400845292,
      -1.506791673878397,
      -1.5056252616094228,
      -1.5081197260841428,
      -1.5142622406829678,
      -1.524039754171195,
      -1.5374386359686552,
      -1.5544436282648466,
      -1.575038337122029,
      -1.5992044270837886,
      -1.6269203317850338,
      -1.6581604577049036,
      -1.692894292944453,
      -1.7310851438503265,
      -1.7726884638212546,
      -1.8176503773639303,
      -1.865906734465123,
      -1.9173816984077876,
      -1.9719862433235011,
      -2.029616700841531,
      -2.0901534036675256,
      -2.153459524781013,
      -2.2193801161872893,
      -2.2877412920234823,
      -2.358349790226454,
      -2.4309929157437424,
      -2.5054388962386227,
      -2.5814376744980754,
      -2.658722152592235,
      -2.7370099131509753,
      -2.8160054520783393,
      -2.895402623905469,
      -2.9748874159483014,
      -3.0541411172871507,
      -3.1328436338543897,
      -3.2106766126377853,
      -3.2873266249482542,
      -3.3624882223187056,
      -3.4358666149088717,
      -3.50717989578838,
      -3.5761607861404445,
      -3.642558105528722,
      -3.706138556201117,
      -3.7666879536001474,
      -3.824011668459136,
      -3.8779346627922573,
      -3.92830110537799,
      -3.9749738966903116,
      -4.017833950758737,
      -4.056779275190187,
      -4.091723559595731,
      -4.122594917053446,
      -4.149335270552789,
      -4.171899571757412,
      -4.19025496896993,
      -4.204379883207489,
      -4.214261643931142,
      -4.219897055629872,
      -4.221292083958529,
      -4.218461677227043,
      -4.211429491466695,
      -4.200226741857005,
      -4.184891140867666,
      -4.1654700532956035,
      -4.142021179666171,
      -4.1146135363709915,
      -4.083327992494804,
      -4.048257413728278,
      -4.0095077127338685,
      -3.967197469752791,
      -3.9214601213268825,
      -3.8724446080972514,
      -3.8203152176340702,
      -3.7652515600689465,
      -3.70744935651973,
      -3.647122018147463,
      -3.5844987985486036,
      -3.519824211759069,
      -3.453355465038157,
      -3.385359661343779,
      -3.316113049674768,
      -3.245898926081959,
      -3.175005280796595,
      -3.103723008169083,
      -3.0323441838758596,
      -2.9611595245106437,
      -2.890455564248729,
      -2.8205117267724313,
      -2.7515987104237882,
      -2.6839765915363247,
      -2.6178930073702826,
      -2.5535816214845783,
      -2.491260907772298,
      -2.431133297788028,
      -2.373384680346617,
      -2.3181842205208345,
      -2.2656842074391803,
      -2.216020050695943
    ],
    [
      12.565768659589471,
      12.563963013482821,
      12.560950547168378,
      12.556723524778654,
      12.55126958863404,
      12.54457172719453,
      12.536608226425885,
      12.527352604565413,
      12.516773531085365,
      12.504834730329355,
      12.49149487064122,
      12.476707440112941,
      12.460420610274555,
      12.442577089363304,
      12.423113967282964,
      12.401962555323937,
      12.37904822380746,
      12.354289897890151,
      12.327599871692957,
      12.298884006792154,
      12.268041616970159,
      12.23496538129466,
      12.199541302372928,
      12.161648724407327,
      12.121160428870702,
      12.077942762103623,
      12.031855138248746,
      11.982750367366862,
      11.930475810000548,
      11.874874602028479,
      11.815787233593872,
      11.753054108323603,
      11.686515792026977,
      11.61601482835996,
      11.54139884848781,
      11.462523704824171,
      11.379257128338416,
      11.291482945048163,
      11.199105726477613,
      11.102056175267967,
      11.00029747681644,
      10.893830146427737,
      10.782695741621968,
      10.666981806332249,
      10.546828281550022,
      10.422431386335665,
      10.294047001708739,
      10.161991488806825,
      10.026640618927386,
      9.88842615376131,
      9.747830002258072,
      9.60537684659948,
      9.461622798593497,
      9.317142125696357,
      9.172513679744387,
      9.028307387589459,
      8.885070357510322,
      8.743313590395722,
      8.603500987275813,
      8.466040496272297,
      8.331277669189047,
      8.199491705588077,
      8.070893884121737,
      7.945628137303149,
      7.823773477746997,
      7.705348158175429,
      7.590314315917917,
      7.478583075092035,
      7.370020302817832,
      7.264452749622826,
      7.161673160472489,
      7.061445051515023,
      6.963507348399615,
      6.86757852741931,
      6.773360250228997,
      6.680540513087748,
      6.58879635425927,
      6.497796180007045,
      6.4072017808513975,
      6.316670118265328,
      6.225854967458236,
      6.134408506105945,
      6.041983034207329,
      5.948234184460527,
      5.85282287654212,
      5.755417095141116,
      5.655695290000534,
      5.553348768991225,
      5.448085003773209,
      5.3396306815522845,
      5.227737407982451,
      5.112188072652373,
      4.992804388454596,
      4.869452146079982,
      4.7420462623620185,
      4.61055999368476,
      4.4750358489226185,
      4.33559280819054,
      4.1924274341785885,
      4.04581308156388,
      3.8960999016409317,
      3.7437129450134057,
      3.5891449578597725,
      3.432945478431726,
      3.27570615197184,
      3.1180487331198132,
      2.9606089662262174,
      2.804016185117044,
      2.6488751403416644,
      2.49575263585408,
      2.345162837772618,
      2.1975560661746134,
      2.053310844036264,
      1.9127292143795467,
      1.776035162800234,
      1.6433757855084195,
      1.514824713945359,
      1.3903872465939906,
      1.270006638221495,
      1.153571041485469,
      1.0409208438393078,
      0.931855855526646,
      0.8261418941959838,
      0.7235167139255088,
      0.6236952080311051,
      0.5263741621823593,
      0.4312367335194533,
      0.33795601826135285,
      0.2461980053397747,
      0.15562370856860047,
      0.06589136114693663,
      -0.023341297423637927,
      -0.112414890638428,
      -0.20166703349282644,
      -0.29143084643291917,
      -0.3820338155842421,
      -0.47379627189078094,
      -0.5670292865429607,
      -0.6620322990219026,
      -0.7590910333526631,
      -0.8584744893846262,
      -0.9604309922930733,
      -1.0651841782706977,
      -1.172928510133395,
      -1.2838243671730651,
      -1.397992804757806,
      -1.5155101324373104,
      -1.6364025670541742,
      -1.7606408907885334,
      -1.8881357798387635,
      -2.018734606736729,
      -2.152219234924314,
      -2.288305676669791,
      -2.426645806831008,
      -2.5668313096941318,
      -2.7084000767126772,
      -2.850844950065276,
      -2.9936243128982705,
      -3.13617434192689,
      -3.2779222838925297,
      -3.418299904035696,
      -3.5567564037850006,
      -3.6927703866316315,
      -3.825859987203694,
      -3.955590544052687,
      -4.0815805512606556,
      -4.2035059746997305,
      -4.321101996897253,
      -4.434162271358769,
      -4.542536566747448,
      -4.646127422613521,
      -4.74488505416112,
      -4.838801712780935,
      -4.927906650200018,
      -5.012260721764752,
      -5.091949279890536,
      -5.1670768848161845,
      -5.237763126474179,
      -5.3041379248744285,
      -5.366338846535853,
      -5.424508161022394,
      -5.4787903265912385,
      -5.529329848331036,
      -5.5762698698001065,
      -5.619750476930806,
      -5.659906684981499,
      -5.696867111829575,
      -5.730753625857377,
      -5.7616809466899435,
      -5.789756233867538,
      -5.815078792442205,
      -5.837739916386335,
      -5.857822840899604,
      -5.875402674858615,
      -5.890546347663072,
      -5.90331180086365,
      -5.91374815395042,
      -5.9218968257482825,
      -5.927790935609934,
      -5.931455258436323,
      -5.932906693232158,
      -5.93215430476401,
      -5.92919936134552,
      -5.9240353522177935,
      -5.916648004521137,
      -5.907015231987927,
      -5.895106886135014,
      -5.880885123337101,
      -5.864304509997573,
      -5.84531189939721,
      -5.823846388230251,
      -5.799839487708022,
      -5.773215881474581,
      -5.743893132169767,
      -5.711782019886939,
      -5.676788090803316,
      -5.638810994845206,
      -5.597744523853093,
      -5.553477316199549,
      -5.505893684586807,
      -5.454874645031704,
      -5.400299210644611,
      -5.342045471577181,
      -5.279992902718256,
      -5.214027434344551,
      -5.144043869699731,
      -5.069946373311772,
      -4.991654383767643,
      -4.909108704681563,
      -4.822271954066516,
      -4.73113296061594,
      -4.6357100221776575,
      -4.5360570014434405,
      -4.432266936630695,
      -4.324471854011753,
      -4.21284355936731,
      -4.097597469421916,
      -3.978996577394721,
      -3.8573540093330547,
      -3.73303279131889,
      -3.6064404307612183,
      -3.478024086601418,
      -3.3482656355386164,
      -3.217674226087991,
      -3.0867753873972497,
      -2.956099824692018,
      -2.826173022217145,
      -2.6975045145971324,
      -2.5705780001458582,
      -2.445842027610127,
      -2.32370243414206,
      -2.204516878814641,
      -2.0885913388294703,
      -1.9761791862905609,
      -1.8674813452303054,
      -1.7626479327291833,
      -1.6617814504149861,
      -1.5649398322501984,
      -1.4721406970153363,
      -1.3833659485024825,
      -1.2985664097950669,
      -1.217666395539065,
      -1.140567939345093,
      -1.0671548251071,
      -0.9972964948108098,
      -0.9308514478340353,
      -0.8676701433135882,
      -0.8075974379887833,
      -0.7504747145077693,
      -0.6961416579443087,
      -0.64443797404567,
      -0.5952046389447058,
      -0.5482845520052531,
      -0.5035229852604323,
      -0.4607679331269668,
      -0.4198709329216557,
      -0.38068725744911724,
      -0.3430757699353852,
      -0.3068986501282336,
      -0.27202164300583737,
      -0.2383140671096045,
      -0.20564863413329337,
      -0.17390122848568346,
      -0.14295065532914372,
      -0.11267836426531788,
      -0.08296815448822091,
      -0.053705866340341635,
      -0.024779063354324487,
      0.003923291853359299,
      0.03251116487720264,
      0.06109377746659504,
      0.08978004733530963,
      0.11867892104044245,
      0.14789957216463656,
      0.1775516656735564,
      0.2077456583771584,
      0.23859318784662156,
      0.2702074110435464,
      0.3027032455231744,
      0.3361974636020881,
      0.37080888375949117,
      0.4066585240926315,
      0.44386971006188836,
      0.4825680835256575,
      0.5228814306189162,
      0.5649397167315188,
      0.608874969305868,
      0.6548209763254794,
      0.702912889262416,
      0.7532866935324309,
      0.8060782634534868,
      0.8614225280721229,
      0.9194523972143932,
      0.9802973416645064,
      1.0440817956420085,
      1.1109232797400326,
      1.1809302066540623,
      1.254199391030734,
      1.3308132685817347,
      1.4108368386800068,
      1.4943140697976882,
      1.5812643529224635,
      1.6716793172256006,
      1.7655193417706199,
      1.8627101958722883,
      1.9631400053595705,
      2.0666567291769407,
      2.173066342166455,
      2.2821319191453644,
      2.393573781222732,
      2.507071030957491,
      2.622264722809555,
      2.738761515528635,
      2.856138864367334,
      2.973951472391463,
      3.091738645931794,
      3.209032256289792,
      3.325364961289629,
      3.4402782790203994,
      3.5533301888875752,
      3.6641017628755868,
      3.772203014550501,
      3.8772773889231904,
      3.9790051533524156,
      4.077105689464789,
      4.17133873490894,
      4.261503388991487,
      4.347436408701674,
      4.429009935787435,
      4.506128626767942,
      4.57872637546668,
      4.646762800580062,
      4.710218558841786,
      4.769091941110121,
      4.823397108918954,
      4.873161126416159,
      4.91842017682609,
      4.959216682337948,
      4.995596897346803,
      5.027608567772018,
      5.055298772536975,
      5.078712636717812,
      5.097892580784231,
      5.112878129046117,
      5.123703540201941,
      5.130396545390157,
      5.1329790257957795,
      5.131467529100094,
      5.12587194552485,
      5.1161954081359875,
      5.102435232834458,
      5.084582256813539,
      5.06262133127473,
      5.0365332978532695,
      5.006295518218135,
      4.971883182807863,
      4.933272622805886,
      4.8904426304666115,
      4.843374720808398,
      4.792054601466499,
      4.736474576599994,
      4.6766360737448665,
      4.6125526788906805,
      4.5442535338722445,
      4.471789173253356,
      4.395236852473085,
      4.314700289506481,
      4.230311021615982,
      4.142229699001602,
      4.050647572625026,
      3.9557895657493756,
      3.857914690630917,
      3.757314825804132,
      3.6543132232850186,
      3.5492652215137106,
      3.4425546859899634,
      3.334590555048053,
      3.2257999415126277,
      3.116620195068875,
      3.007492147358765,
      2.8988537342938554,
      2.7911333499458477,
      2.6847437176110933,
      2.5800764867521786,
      2.477496409698577,
      2.3773372887753133,
      2.279899101665745,
      2.1854462182197363,
      2.094206670677896,
      2.006372390818475,
      1.9221002913537957,
      1.8415140466998854,
      1.764706418665553,
      1.6917422318806747,
      1.6226613951463,
      1.5574818495707978,
      1.4962030746161337,
      1.4388089990342645,
      1.3852705723994565,
      1.3355479768166656,
      1.2895935805683556,
      1.2473541890206652,
      1.2087733606166582,
      1.1737932223290792,
      1.142355956262019,
      1.114405658149656,
      1.0898891455994562,
      1.068756819314997,
      1.0509629495315758,
      1.0364675097976426,
      1.0252362617071626,
      1.0172396334864071,
      1.0124535218312614,
      1.0108598685424022,
      1.012446622024624,
      1.0172085647225342,
      1.0251463828981369,
      1.0362668954909315,
      1.050583214031489,
      1.068114241924998,
      1.088883620796569,
      1.1129191547112212,
      1.1402521727083093,
      1.170916075829337,
      1.2049459263278721,
      1.2423777236205036,
      1.2832471361159503,
      1.3275880571422183,
      1.3754310918056316,
      1.426801892342053,
      1.4817189643896445,
      1.5401914627781015,
      1.6022168757704642,
      1.6677785815049633,
      1.736843232610447,
      1.80935802086869,
      1.8852483482951778,
      1.9644154827651814,
      2.04673437806456,
      2.132051823464965,
      2.220185037947594,
      2.310920824096936,
      2.4040153336888506,
      2.4991946272071854,
      2.5961561791879078,
      2.6945711501519822,
      2.7940874839002143,
      2.894333784749305,
      2.99492384515409,
      3.095461717278659,
      3.1955470199883056,
      3.2947803102564572,
      3.3927686951100675,
      3.4891311526814413,
      3.5835032432092984,
      3.6755412132387546,
      3.7649257581421276,
      3.851364438254309,
      3.9345929538755438,
      4.0143759545715705,
      4.090507081333643,
      4.162808327722932,
      4.231128825058103,
      4.295343166650303,
      4.3553487353039735,
      4.41106296832127,
      4.462422163107199,
      4.509379944330346,
      4.551904593334489,
      4.589976127072202,
      4.623584122963188,
      4.652725360574947,
      4.677401958813956,
      4.697620187052182,
      4.713390157780962,
      4.724724572129106,
      4.731636516748349,
      4.734138656547229,
      4.732244225733448,
      4.725965959896459
    ],
    [
      12.565529206677622,
      12.563007933508413,
      12.55880643406934,
      12.552917993742646,
      12.545329554236181,
      12.53602170105823,
      12.52496862944872,
      12.512138089933114,
      12.497491315822444,
      12.48098293372971,
      12.462560860813989,
      12.44216619185284,
      12.419733079398604,
      12.395188613285786,
      12.368452705178322,
      12.339437584994053,
      12.30804730161149,
      12.27417830773705,
      12.237719581769937,
      12.19855259753022,
      12.156551420861126,
      12.11158306895372,
      12.06350807656803,
      12.012181864420036,
      11.957455013189005,
      11.899173850996776,
      11.837181478689468,
      11.771317589864601,
      11.701421323723155,
      11.627334938742463,
      11.548907140023687,
      11.46599747814608,
      11.378479569087904,
      11.28624546983215,
      11.189210833245642,
      11.08732012096313,
      10.980552682602648,
      10.868928733433126,
      10.75251254310335,
      10.631418722924733,
      10.505818997066255,
      10.375944311617372,
      10.2420886447516,
      10.104609755746255,
      9.963927633192244,
      9.820520662424064,
      9.674915714892375,
      9.527678288110508,
      9.379399794441708,
      9.230682048892653,
      9.082122192325174,
      8.934297552258796,
      8.787751061790267,
      8.642979243748544,
      8.500422109782262,
      8.360455227056393,
      8.223384469655127,
      8.089442953264445,
      7.9587909033013995,
      7.831518062480724,
      7.70764741126849,
      7.58714010622655,
      7.469901202336157,
      7.355785978348547,
      7.244606596367976,
      7.136137481363732,
      7.030120793718098,
      6.926271660445626,
      6.824282847534433,
      6.723828888365362,
      6.624569722876402,
      6.526153890243245,
      6.428221349538738,
      6.330406013644967,
      6.232338060457615,
      6.13364621899093,
      6.033960892145937,
      5.932917521271497,
      5.830159167953358,
      5.725337091568226,
      5.618114100202242,
      5.508169157510661,
      5.3952018104149255,
      5.278938564164584,
      5.159137442643007,
      5.035592363687104,
      4.908140786585412,
      4.776675357113745,
      4.64115434827172,
      4.501605963372234,
      4.358135144048405,
      4.210925730891356,
      4.060240969568256,
      3.906424843675739,
      3.749898829608115,
      3.5911572607913356,
      3.4307547010472623,
      3.2692901937795624,
      3.10739407502267,
      2.945710048823717,
      2.784875881669,
      2.6255053440998215,
      2.4681709695522875,
      2.313390006240363,
      2.161612147293082,
      2.01321051149082,
      1.8684772312442053,
      1.7276222457342054,
      1.5907742314255573,
      1.457984058155395,
      1.3292306081574419,
      1.2044277277850741,
      1.0834316994769542,
      0.9660488919905555,
      0.852043233940566,
      0.7411432562377208,
      0.6330485412917974,
      0.527435483223716,
      0.4239619155544816,
      0.32227154027650246,
      0.22199816199790434,
      0.12276928379930928,
      0.024208894390588542,
      -0.07406018975850036,
      -0.17241397235416164,
      -0.2712248906964985,
      -0.3708589802679256,
      -0.47167396076407725,
      -0.5740170017317936,
      -0.6782208915777679,
      -0.784600670200829,
      -0.8934497579714987,
      -1.005034952940282,
      -1.119591076096774,
      -1.2373158116492797,
      -1.3583638283238029,
      -1.4828405393211264,
      -1.6107959074919571,
      -1.7422186734650404,
      -1.8770310483186954,
      -2.0150846004403666,
      -2.1561578174296745,
      -2.299955737550531,
      -2.446112007887255,
      -2.5941936903269958,
      -2.743708925227717,
      -2.894117287459908,
      -3.0448426940844917,
      -3.1952878436055534,
      -3.3448495005174164,
      -3.4929341335716164,
      -3.6389728892150486,
      -3.7824349690592642,
      -3.922838862578669,
      -4.059761004015437,
      -4.192841252920699,
      -4.321785545296897,
      -4.4463669715302485,
      -4.566424123016465,
      -4.681857412646472,
      -4.792623770421213,
      -4.89873021486924,
      -5.000227762296916,
      -5.097205899200175,
      -5.18978655244069,
      -5.278118173108234,
      -5.362370801175295,
      -5.442731686618315,
      -5.519400267243845,
      -5.592584055735168,
      -5.66249503220798,
      -5.729348026460373,
      -5.793359877639251,
      -5.854747042935513,
      -5.913723311593003,
      -5.970499564715883,
      -6.025283246839623,
      -6.078277963195717,
      -6.129683261659255,
      -6.1796945639042,
      -6.228503214845758,
      -6.276296623653418,
      -6.323258473545117,
      -6.369568980149247,
      -6.415405181504173,
      -6.460941244256558,
      -6.506348772546231,
      -6.551797107127631,
      -6.597453603196659,
      -6.643483875480688,
      -6.6900519993825185,
      -6.737320656903659,
      -6.785451215006843,
      -6.834603723850629,
      -6.884936821454178,
      -6.93660752975165,
      -6.989770926852637,
      -7.0445796788551425,
      -7.101183413721576,
      -7.159727920147804,
      -7.220354153739173,
      -7.28319703458543,
      -7.348384022145753,
      -7.416033456986733,
      -7.486252664279778,
      -7.559135821241068,
      -7.634761600545434,
      -7.713190613559292,
      -7.794462692223852,
      -7.878594065196095,
      -7.965574265931555,
      -8.055363155656986,
      -8.147888694214855,
      -8.243044707325215,
      -8.340689035398361,
      -8.440642276263796,
      -8.542687264374386,
      -8.646569413143139,
      -8.751998019096563,
      -8.858648587093185,
      -8.966166184358425,
      -9.074169772996152,
      -9.182257410103817,
      -9.290012145711785,
      -9.397008399888096,
      -9.50281856497207,
      -9.607019563296742,
      -9.709198929574276,
      -9.808959861305695,
      -9.90592657448356,
      -9.99974860853343,
      -10.090103880057624,
      -10.176700713776874,
      -10.259278877973104,
      -10.337609697918168,
      -10.411495356644098,
      -10.480767516262809,
      -10.5452854044947,
      -10.60493320095824,
      -10.659617067608586,
      -10.709262832284658,
      -10.75381263124286,
      -10.793222992245646,
      -10.827462863604955,
      -10.856511257139676,
      -10.880355167942179,
      -10.898987834225894,
      -10.912405651464407,
      -10.92060698930691,
      -10.923593176746245,
      -10.921367883058727,
      -10.913936931335343,
      -10.901308395303506,
      -10.883492761362353,
      -10.8605038345115,
      -10.832360053380572,
      -10.799085793014807,
      -10.760713154966371,
      -10.717284132179168,
      -10.668852406754752,
      -10.61548678699827,
      -10.55727378318319,
      -10.494318812145348,
      -10.426749321378947,
      -10.354718603789431,
      -10.278406717941444,
      -10.198021380590228,
      -10.113798887980394,
      -10.026004841087673,
      -9.934934363863215,
      -9.840910474518335,
      -9.744282098172434,
      -9.645421228849035,
      -9.544719168646392,
      -9.442581844056031,
      -9.339424872341977,
      -9.235667717639275,
      -9.13172758721691,
      -9.028013404160573,
      -8.9249199074388,
      -8.822822341500144,
      -8.722071835206142,
      -8.622991446715771,
      -8.525873095539374,
      -8.430975346764814,
      -8.338522143963479,
      -8.248702577915788,
      -8.161671444579975,
      -8.077550720748762,
      -7.996430918350655,
      -7.918373089181323,
      -7.843411482899349,
      -7.771556198582895,
      -7.702795799179731,
      -7.63709997768635,
      -7.574422419023444,
      -7.514703685014985,
      -7.4578734081857245,
      -7.403852205432592,
      -7.352553631911698,
      -7.303885925874671,
      -7.257753851038375,
      -7.214060722612702,
      -7.172708880594601,
      -7.133600507585093,
      -7.096638272795904,
      -7.061726498154551,
      -7.028771823599491,
      -6.997683098650747,
      -6.968371661448568,
      -6.940751622434297,
      -6.914740077361546,
      -6.890257260002843,
      -6.867226644065265,
      -6.845575002657628,
      -6.825232432611332,
      -6.806132349665091,
      -6.7882114605883315,
      -6.771409716587746,
      -6.7556702520301615,
      -6.740939312206674,
      -6.727166172714124,
      -6.714303053335078,
      -6.702305028010903,
      -6.691129933051219,
      -6.680738274756328,
      -6.671093137659719,
      -6.6621601012916445,
      -6.65390715269644,
      -6.646304594488141,
      -6.639324963791397,
      -6.6329429552234584,
      -6.62713534823889,
      -6.621880938959724,
      -6.617160476669698,
      -6.612956605205593,
      -6.609253809212029,
      -6.6060383655015675,
      -6.603298299433553,
      -6.601023346284364,
      -6.599204917656909,
      -6.597836078844754,
      -6.596911525988901,
      -6.596427549638972,
      -6.596381996256627,
      -6.596774288827796,
      -6.5976054316849435,
      -6.598878012117187,
      -6.600596206809224,
      -6.602765793395049,
      -6.605394166878134,
      -6.608490361063397,
      -6.612065075041537,
      -6.6161307044443705,
      -6.620701377588453,
      -6.625792996601007,
      -6.631423283238095,
      -6.637611846508209,
      -6.644380262455066,
      -6.651752102639349,
      -6.659752990699432,
      -6.668410670969564,
      -6.677755080595735,
      -6.687818425260661,
      -6.698635257799406,
      -6.710242559130449,
      -6.722679820895991,
      -6.735989023101233,
      -6.750214388373913,
      -6.765402760521089,
      -6.781603782647053,
      -6.79886996671783,
      -6.817256755972365,
      -6.836822577794268,
      -6.857628883901706,
      -6.879740174516521,
      -6.903224002413635,
      -6.928150951983196,
      -6.954594588218379,
      -6.982631376327204,
      -7.012340589021539,
      -7.043804087775663,
      -7.077105809072496,
      -7.112331487132501,
      -7.149568464256871,
      -7.188905201808059,
      -7.230430685875206,
      -7.2742337147387754,
      -7.320401962277193,
      -7.369020763555538,
      -7.42017220029337,
      -7.473933861873975,
      -7.530377360190504,
      -7.589566666916961,
      -7.651556274861761,
      -7.716389192030953,
      -7.784094785431818,
      -7.854686502303552,
      -7.928159507716192,
      -8.004488291451608,
      -8.083624310158804,
      -8.16549374494968,
      -8.249995466734967,
      -8.336999311725851,
      -8.42634477447716,
      -8.517840193057582,
      -8.611262407685823,
      -8.706357477270585,
      -8.802842176001475,
      -8.900406133233542,
      -8.99871476405732,
      -9.09741293832092,
      -9.196129292493278,
      -9.294480924481531,
      -9.392078275108643,
      -9.48853063104781,
      -9.583451447959344,
      -9.676463362105657,
      -9.7672027765505,
      -9.855323871751136,
      -9.940501928370955,
      -10.022435893445625,
      -10.100850162838546,
      -10.17549559453143,
      -10.246149801833175,
      -10.31261680328158,
      -10.374726124562137,
      -10.432330970509527,
      -10.485306466848233,
      -10.533548030253057,
      -10.57696865473974,
      -10.615497657379906,
      -10.649079048640655,
      -10.677669535641442,
      -10.701236741305253,
      -10.719757675844143,
      -10.73321589712151,
      -10.741600328039647,
      -10.744906288291327,
      -10.743134901792075,
      -10.736292899223956,
      -10.724392684721318,
      -10.707452427711553,
      -10.685496826409048,
      -10.658558299788366,
      -10.626678099187679,
      -10.589907723343646,
      -10.548310829619258,
      -10.501964871776352,
      -10.450963320748526,
      -10.395418457706562,
      -10.335462000324654,
      -10.271246661865206,
      -10.202949140751942,
      -10.130771359983365,
      -10.054940107826043,
      -9.975706910404796,
      -9.893347708867884,
      -9.808162040909156,
      -9.720471832036926,
      -9.630618509187208,
      -9.538959872149341,
      -9.445866503853761,
      -9.351717580234872,
      -9.25689628421059,
      -9.161784983260617,
      -9.066760346787369,
      -8.97218857538265,
      -8.878420901367953,
      -8.785789641583873,
      -8.694604789101646,
      -8.605151155829729,
      -8.517686298703032,
      -8.432439229608326,
      -8.349609808599187,
      -8.269368802439665,
      -8.191858536154996,
      -8.117194049294845,
      -8.045464569257225,
      -7.976735297648288,
      -7.91104971165891,
      -7.84843217110929,
      -7.788890013728684,
      -7.732415601742049,
      -7.67898852920843,
      -7.628577730100347,
      -7.581143804276486,
      -7.536641646811748,
      -7.495021675489678,
      -7.456230712394085,
      -7.420213851273366,
      -7.3869160012479265,
      -7.356282094947009,
      -7.328257896642032,
      -7.302790805478703,
      -7.279830546230661,
      -7.2593297586975085,
      -7.24124449611937,
      -7.22553464309375,
      -7.2121642620608455
    ],
    [
      12.565344699713396,
      12.56227399308277,
      12.5571632396904,
      12.550009502220966,
      12.540802212453078,
      12.529523196437259,
      12.516146674789008,
      12.500639241486175,
      12.482959823964274,
      12.46305962846549,
      12.44088207557216,
      12.416362732158099,
      12.389429246572746,
      12.36000077815342,
      12.32798721962329,
      12.293290321454414,
      12.25580525625982,
      12.215420307191676,
      12.172016166719036,
      12.125466280411974,
      12.075637487483652,
      12.022391103308465,
      11.965582718736494,
      11.90506376275723,
      11.840683314629862,
      11.772289819448082,
      11.699730658566173,
      11.62285469697542,
      11.541518269817512,
      11.45558905651323,
      11.3649500542788,
      11.269504433398993,
      11.169181559232726,
      11.06394127087414,
      10.953780110086166,
      10.838739236902345,
      10.71890846920236,
      10.59443199602621,
      10.465513771066911,
      10.332421506843374,
      10.195489675785868,
      10.055116408087486,
      9.911758709180742,
      9.76592615872934,
      9.618172223587868,
      9.469080815937295,
      9.319254812757766,
      9.169301904366757,
      9.019818422901828,
      8.871374148059726,
      8.724498237345884,
      8.579667310335587,
      8.437295983021253,
      8.297730140916817,
      8.161243011246297,
      8.02803389053548,
      7.898229309128523,
      7.771886165528899,
      7.648996239663914,
      7.529492347088717,
      7.413253673938443,
      7.3001108062160975,
      7.18985287137869,
      7.082234006747104,
      6.976978993153217,
      6.873788321213718,
      6.7723427087004024,
      6.672307080288452,
      6.573334053534752,
      6.475066998788957,
      6.377142757778491,
      6.279194117216952,
      6.180852147510886,
      6.081748430522183,
      5.981516406753676,
      5.879795657086455,
      5.776235476473368,
      5.67049586366443,
      5.562249716782128,
      5.451186441901152,
      5.337017354910659,
      5.219480991156005,
      5.098351193391618,
      4.973443955864504,
      4.844628124838285,
      4.711832965714659,
      4.575051182009293,
      4.434343859024873,
      4.289847063406506,
      4.141773017251906,
      3.990411122599006,
      3.8361288728474605,
      3.6793711025694398,
      3.5206519105240686,
      3.3605412671173873,
      3.199649834501142,
      3.0386121213920325,
      2.878067866814087,
      2.718642780666919,
      2.5609307356176774,
      2.4054787671283497,
      2.252773406372736,
      2.1032302325551893,
      1.9571874729828562,
      1.8149027105734,
      1.6765521027062862,
      1.5422327919939172,
      1.4119675853093465,
      1.2857112061772014,
      1.1633572583566063,
      1.0447454500081985,
      0.9296688171409782,
      0.817881221364672,
      0.7091040587913847,
      0.6030323004776819,
      0.49933961652184705,
      0.3976832350858265,
      0.2977082142638283,
      0.19905093872681956,
      0.1013421334319321,
      0.0042096072773751825,
      -0.09271875150696292,
      -0.18981312228523797,
      -0.28744001393777563,
      -0.385959472082506,
      -0.4857223516078939,
      -0.5870683872614401,
      -0.6903235498215953,
      -0.7957964385861708,
      -0.9037741170006232,
      -1.0145176610075477,
      -1.1282571525993337,
      -1.2451860732855702,
      -1.3654554929623088,
      -1.489167819516976,
      -1.616370892268392,
      -1.7470520354724135,
      -1.881132682973133,
      -2.018464338062636,
      -2.15882616605838,
      -2.3019246337865416,
      -2.4473956470046185,
      -2.594809212233035,
      -2.7436768781264487,
      -2.8934619054592323,
      -3.043591762374794,
      -3.1934723844928374,
      -3.3425034635595057,
      -3.4900940550881425,
      -3.6356774725320324,
      -3.7787244355992926,
      -3.9187542539496456,
      -4.055343482708075,
      -4.188131807768293,
      -4.316825167854794,
      -4.441196310250212,
      -4.561082986045943,
      -4.676384188969157,
      -4.787055674769082,
      -4.8931043585956795,
      -4.994582133154823,
      -5.09157947581678,
      -5.184219069668326,
      -5.272649613473813,
      -5.3570407038972885,
      -5.4375791443422,
      -5.51446445385192,
      -5.587904905315358,
      -5.65811442355677,
      -5.725310709183877,
      -5.789712879250638,
      -5.851539228881146,
      -5.911006340200405,
      -5.968328188342238,
      -6.023715515042814,
      -6.077375354540752,
      -6.129510415730539,
      -6.180319281407913,
      -6.229996745180045,
      -6.278733947398711,
      -6.326718579018202,
      -6.374135132885672,
      -6.421165184842277,
      -6.467987688394099,
      -6.514779257266135,
      -6.561714411933227,
      -6.608965892292124,
      -6.6567048984693535,
      -6.705101251836152,
      -6.7543234686061036,
      -6.8045387147056635,
      -6.85591276164872,
      -6.908609813991994,
      -6.962792197465854,
      -7.018619903003604,
      -7.076249968079395,
      -7.135835676134358,
      -7.197525555210684,
      -7.261462157719978,
      -7.327780311472808,
      -7.396605283885544,
      -7.468051176655106,
      -7.542218757054565,
      -7.619193011769699,
      -7.699040430340904,
      -7.7818059461914055,
      -7.867510134911432,
      -7.95614632547746,
      -8.047677659846876,
      -8.14203433054594,
      -8.239111134584263,
      -8.338765495649348,
      -8.440816112628143,
      -8.545042388632359,
      -8.65118477813842,
      -8.758946160088312,
      -8.867994301769631,
      -8.97796542180689,
      -9.088468798093626,
      -9.199092298681391,
      -9.309408651111537,
      -9.41898221128088,
      -9.52737595617462,
      -9.634158407697353,
      -9.738910200178603,
      -9.841230031999178,
      -9.940739787659098,
      -10.037088675576479,
      -10.129956254456543,
      -10.219054001970184,
      -10.304125361019386,
      -10.38494597774801,
      -10.46132322136948,
      -10.533094354091267,
      -10.600125007668762,
      -10.662306724300548,
      -10.719554174486756,
      -10.771801784910043,
      -10.819000780098845,
      -10.861116921638192,
      -10.89812807538189,
      -10.930021608350591,
      -10.956792094935544,
      -10.978439406062,
      -10.994967094843672,
      -11.006381088097148,
      -11.012687714765057,
      -11.01389147555052,
      -11.009996692664151,
      -11.001008210233305,
      -10.986931554523034,
      -10.967773425537876,
      -10.943542376248697,
      -10.914249952409387,
      -10.879912259316988,
      -10.84055177323569,
      -10.796199133014262,
      -10.746895406723656,
      -10.692696076103065,
      -10.63367341935695,
      -10.569917776149964,
      -10.501540220623863,
      -10.428675327790204,
      -10.35148554701487,
      -10.270162691682327,
      -10.18492784231438,
      -10.096031653605378,
      -10.003755400778617,
      -9.908411164823725,
      -9.810339929083295,
      -9.709909194803405,
      -9.607509064842112,
      -9.50354738188015,
      -9.398444506604406,
      -9.292627589940661,
      -9.186524535753348,
      -9.080557181309702,
      -8.975135043943265,
      -8.870649678723028,
      -8.767469429196957,
      -8.66593495622974,
      -8.566355677667001,
      -8.469007190065819,
      -8.374129672142718,
      -8.281927087306489,
      -8.192567629601918,
      -8.106184954875141,
      -8.022879645846913,
      -7.94272134700691,
      -7.865751574898192,
      -7.791986666097586,
      -7.7214201990822735,
      -7.654025788718645,
      -7.589759956424148,
      -7.528565187655927,
      -7.470372172012756,
      -7.4151015270258895,
      -7.3626660275425015,
      -7.312973303581938,
      -7.265927673661605,
      -7.221431045207088,
      -7.179383974366355,
      -7.1396868217989455,
      -7.1022405492509675,
      -7.066947779222096,
      -7.033713722489364,
      -7.002446034222338,
      -6.973055097933073,
      -6.945454336632433,
      -6.919560448740715,
      -6.895293580244771,
      -6.872577443105432,
      -6.851339388988088,
      -6.831510446187344,
      -6.8130253266162075,
      -6.795822408720924,
      -6.7798437243488685,
      -6.765034944342142,
      -6.751345267463785,
      -6.738727339201191,
      -6.727137178367992,
      -6.716534099564228,
      -6.706880633768388,
      -6.698142455269303,
      -6.69028830817846,
      -6.683289935035513,
      -6.67712200932874,
      -6.671762072663318,
      -6.667190477074305,
      -6.663390332969876,
      -6.660347463133529,
      -6.658050363007982,
      -6.656490167479854,
      -6.655660631956727,
      -6.655558151394497,
      -6.656181724512962,
      -6.657532924623356,
      -6.6596159010125175,
      -6.662437388085581,
      -6.6660067464237835,
      -6.670335981728816,
      -6.6754397494841005,
      -6.6813353894831105,
      -6.688042966234495,
      -6.695585314974535,
      -6.703987860684028,
      -6.713278541496148,
      -6.723488169169651,
      -6.7346505173784506,
      -6.746802333001103,
      -6.75998342591888,
      -6.77423675632416,
      -6.789608492996717,
      -6.806148067360557,
      -6.823908221134786,
      -6.842945044795868,
      -6.8633180036770405,
      -6.885089948045738,
      -6.908327102508982,
      -6.933099029969771,
      -6.959478564234623,
      -6.987541704502242,
      -7.017367496406714,
      -7.049037879353582,
      -7.08263735527857,
      -7.118252629190755,
      -7.155972180047374,
      -7.195885711007804,
      -7.238083310411555,
      -7.282654742417548,
      -7.329688689091986,
      -7.37927168991579,
      -7.431486915056964,
      -7.486412761937677,
      -7.544121032165943,
      -7.604675079307261,
      -7.668128128562945,
      -7.73452116909466,
      -7.803880592749704,
      -7.876215311177736,
      -7.951514515489308,
      -8.029745515586677,
      -8.110851311676605,
      -8.194748145165264,
      -8.281323425350477,
      -8.370434279679973,
      -8.461906384132632,
      -8.55553336283781,
      -8.651076877878765,
      -8.748267491655794,
      -8.846806355767997,
      -8.946367743187372,
      -9.046602397787414,
      -9.147141628917968,
      -9.247602032830642,
      -9.347590683091745,
      -9.446710599806034,
      -9.544566288957666,
      -9.64076913889569,
      -9.734942471360677,
      -9.826726068646893,
      -9.915779755098685,
      -10.00178626245375,
      -10.084452970814986,
      -10.163513871954533,
      -10.238730266686327,
      -10.30989044196309,
      -10.376809527346763,
      -10.439328373897103,
      -10.497311933955986,
      -10.550647138652524,
      -10.59924037785541,
      -10.643015771221851,
      -10.681913277752336,
      -10.71588661385198,
      -10.7449010613873,
      -10.76893164081481,
      -10.787961515800342,
      -10.801980641998297,
      -10.810984560367181,
      -10.8149716913991,
      -10.81394297724724,
      -10.807903692563531,
      -10.79686353426346,
      -10.780836943899539,
      -10.759843551968677,
      -10.733909019958547,
      -10.703066216228322,
      -10.667356798122862,
      -10.626832746119048,
      -10.581558021313029,
      -10.53161084724614,
      -10.4770871864939,
      -10.418101732887706,
      -10.354789112536576,
      -10.287305694771833,
      -10.21583138021638,
      -10.140572629040161,
      -10.061762538054767,
      -9.979659807580921,
      -9.89454756509285,
      -9.80673279737836,
      -9.716545038473518,
      -9.624334057726651,
      -9.530465968830727,
      -9.435319400170638,
      -9.339281175483897,
      -9.242741023402573,
      -9.146086456550217,
      -9.049697721122655,
      -8.953942930374001,
      -8.859173559773813,
      -8.765720458441619,
      -8.673890498397204,
      -8.583963944945758,
      -8.496192589752184,
      -8.410798649259004,
      -8.327974440475865,
      -8.247883026073872,
      -8.170658996821224,
      -8.096409610592245,
      -8.025216546244096,
      -7.957138031643678,
      -7.892211462228422,
      -7.830455479294792,
      -7.771871755888939,
      -7.71644732225055,
      -7.6641575730162215,
      -7.614969124655775,
      -7.568841028153297,
      -7.5257264235378765,
      -7.485574173626151,
      -7.44833034279176,
      -7.413940359272349,
      -7.38234969753449,
      -7.353504378619732,
      -7.327351863674106,
      -7.303841823753574,
      -7.282926797223957,
      -7.264562746185387,
      -7.248709621364633,
      -7.235331750675316,
      -7.22439804399327,
      -7.215882245618621,
      -7.2097631369636845,
      -7.206024681139197,
      -7.204656120794866,
      -7.205652121158425,
      -7.209012904779707,
      -7.21474412323891,
      -7.222856647110513,
      -7.233365566282646,
      -7.2462900377638775,
      -7.2616538845072105,
      -7.279485432169303,
      -7.299817186242807,
      -7.322685443609565,
      -7.348129830640009,
      -7.3761927590738425,
      -7.406918800391849
    ],
    [
      12.565282244316554,
      12.56202683166773,
      12.556613188506788,
      12.549042475845331,
      12.53930782057025,
      12.527394357125004,
      12.51327903964713,
      12.496930341244475,
      12.47831026824099,
      12.457374886989555,
      12.434072598321436,
      12.408343773472412,
      12.38011959122005,
      12.349322191805541,
      12.315865734044165,
      12.279656468310126,
      12.240592870147792,
      12.198565854571624,
      12.153459095525237,
      12.10514947778549,
      12.053507713620721,
      11.9983991039702,
      11.939684339375079,
      11.877220340345048,
      11.810862215243771,
      11.74046581399516,
      11.66588776687573,
      11.586985979558671,
      11.503626721489164,
      11.415689791500041,
      11.323072444428215,
      11.225692828875163,
      11.12349736325231,
      11.01646724889901,
      10.904624592643861,
      10.788038013585275,
      10.666829117408502,
      10.541179533323723,
      10.411329072929519,
      10.27757864526788,
      10.140291879174743,
      9.999891989609923,
      9.856855595162582,
      9.71170238623431,
      9.564989443323798,
      9.417300733124215,
      9.26923320508902,
      9.121382209601025,
      8.974327031669265,
      8.828615803604984,
      8.68475240401241,
      8.543186172901867,
      8.404304031780683,
      8.26842515787699,
      8.135798134616618,
      8.00660097789215,
      7.880942764258227,
      7.758866937651338,
      7.6403560374166615,
      7.525337273288864,
      7.413688540956147,
      7.305244546373402,
      7.199801504200746,
      7.0971228877292685,
      6.996946000804056,
      6.898986637896462,
      6.802943426407844,
      6.708501427100069,
      6.615335245544394,
      6.523111753682624,
      6.431492313598806,
      6.340134759393649,
      6.248695217447352,
      6.156829586371483,
      6.064195108108029,
      5.970450095295575,
      5.87525574201613,
      5.778280398663667,
      5.679202508950243,
      5.577713147665765,
      5.473519932769384,
      5.366349826121341,
      5.255953044923516,
      5.142107515478197,
      5.0246261105088585,
      4.903363918605366,
      4.7782249735818585,
      4.649165174253514,
      4.516195347659352,
      4.3793921260242135,
      4.238904833725389,
      4.094958436036394,
      3.9478553082273065,
      3.79797467293855,
      3.6457669124978,
      3.4917432602945,
      3.3364642513159404,
      3.1805255991250467,
      3.0245424779717043,
      2.8691331732925356,
      2.7149018385540398,
      2.5624220143687384,
      2.4122218415784924,
      2.2647716852785167,
      2.1204759540921083,
      1.9796666049606613,
      1.8426001231662021,
      1.709457576919789,
      1.5803467317617264,
      1.4553061113401098,
      1.33431054410186,
      1.2172775878571132,
      1.10407438404469,
      0.9945244398395859,
      0.8884140841590625,
      0.7854985851488459,
      0.6855086989366009,
      0.5881558107503916,
      0.49313548680722413,
      0.40013115178832825,
      0.3088174471623815,
      0.21886303056653522,
      0.12993265270842574,
      0.04168909655411478,
      -0.04620523804238076,
      -0.1340869443919625,
      -0.22229034628524896,
      -0.3111462239013196,
      -0.4009802091735853,
      -0.4921105936233053,
      -0.5848469160988938,
      -0.6794879283164428,
      -0.7763187305167132,
      -0.8756076765898096,
      -0.9776027752608465,
      -1.082527504658655,
      -1.1905760864732833,
      -1.3019081528652758,
      -1.4166431978635174,
      -1.5348553014756248,
      -1.6565676630040949,
      -1.7817476026411763,
      -1.9103019131080616,
      -2.0420730617950014,
      -2.1768370260534327,
      -2.314302982208068,
      -2.454115153306046,
      -2.5958570412277924,
      -2.7390581299436576,
      -2.883202979361449,
      -3.0277423989876295,
      -3.172106227085645,
      -3.315717085550872,
      -3.458004381826635,
      -3.5984178039539216,
      -3.7364396051051783,
      -3.8715952183905338,
      -4.003461676910108,
      -4.131673233724497,
      -4.2559246705701,
      -4.375972314871577,
      -4.491632988771454,
      -4.60278124559079,
      -4.709345290781297,
      -4.811301714192567,
      -4.908669957883216,
      -5.001506831293838,
      -5.0899007879108105,
      -5.173966440780685,
      -5.2538394347271336,
      -5.329672440100913,
      -5.40163083310773,
      -5.46988883678983,
      -5.534627974342256,
      -5.596033724792882,
      -5.6542924787757975,
      -5.709588440198626,
      -5.762102463921415,
      -5.812012159194721,
      -5.859491236545931,
      -5.904708961730544,
      -5.9478297983769135,
      -5.989013120856787,
      -6.02841269398723,
      -6.066177001818711,
      -6.102449660157971,
      -6.137369478293686,
      -6.171070665575849,
      -6.2036832374464685,
      -6.235333232655795,
      -6.266143037294889,
      -6.296231804588496,
      -6.3257157912494035,
      -6.3547086986957435,
      -6.383322020445797,
      -6.411665404694685,
      -6.439846972261873,
      -6.467973632154155,
      -6.496151405869896,
      -6.524485741796271,
      -6.553081817885807,
      -6.582044830280133,
      -6.6114802660384875,
      -6.6414941594725185,
      -6.672193351557135,
      -6.703685694826198,
      -6.736080213048816,
      -6.769487244004104,
      -6.8040185418745684,
      -6.839787325347502,
      -6.876908180384599,
      -6.915496875209029,
      -6.955670302777667,
      -6.997546364856665,
      -7.041243649777532,
      -7.086880998205745,
      -7.134576942103956,
      -7.184448970288331,
      -7.236612244081579,
      -7.291178626823039,
      -7.348255798263592,
      -7.407945823467152,
      -7.470343508881302,
      -7.53553453987058,
      -7.603593401338078,
      -7.674581056187694,
      -7.748542139144231,
      -7.825502435434639,
      -7.905466419278601,
      -7.988414497138108,
      -8.074300301004342,
      -8.1630480926093,
      -8.254550310240209,
      -8.348665830024332,
      -8.44521872392392,
      -8.543997589689624,
      -8.644755672457352,
      -8.747211876425586,
      -8.851052730177255,
      -8.955935324391001,
      -9.061491188204997,
      -9.167331014578881,
      -9.273050089932635,
      -9.378234234967614,
      -9.482466027769503,
      -9.585330847713426,
      -9.68642279751159,
      -9.785350517581126,
      -9.881742143158974,
      -9.97524942646295,
      -10.065550944781009,
      -10.152354347983474,
      -10.235397641754897,
      -10.314449025024064,
      -10.389306485711321,
      -10.459797107707368,
      -10.525774343245457,
      -10.587116251779205,
      -10.643723970729747,
      -10.69551907935545,
      -10.742440683689468,
      -10.784443432435953,
      -10.821494631417687,
      -10.853571721246293,
      -10.88066067015151,
      -10.902754040404554,
      -10.91984931614615,
      -10.931947799532539,
      -10.939053611815922,
      -10.941173000933045,
      -10.938313930749828,
      -10.930484891738178,
      -10.917694301973473,
      -10.899952721990992,
      -10.877273783678078,
      -10.849675061022968,
      -10.817179372976286,
      -10.779816287925334,
      -10.73762407342594,
      -10.69065186729328,
      -10.638963046436345,
      -10.58263779851956,
      -10.521774356061552,
      -10.456490729195133,
      -10.386926728612691,
      -10.313246221454351,
      -10.235640255787393,
      -10.154328362898468,
      -10.069557801416376,
      -9.981603548664387,
      -9.89076770091742,
      -9.79737882956473,
      -9.701789256065487,
      -9.604371086972524,
      -9.505512187138953,
      -9.405611536459483,
      -9.305074110873573,
      -9.204305398698319,
      -9.103705803248156,
      -9.003665151610441,
      -8.90455752180049,
      -8.8067365788584,
      -8.710531576077585,
      -8.616244134584225,
      -8.52414586734759,
      -8.434476864371721,
      -8.347445010838468,
      -8.263226093245521,
      -8.181964569627556,
      -8.103774920646302,
      -8.028743511365347,
      -7.956931227021776,
      -7.8883758930987025,
      -7.823094369856667,
      -7.761085132597934,
      -7.702330824791875,
      -7.646800886848394,
      -7.594454679746525,
      -7.545243177611578,
      -7.499110608493216,
      -7.455996393432376,
      -7.415836740351554,
      -7.378565611681256,
      -7.344116937117707,
      -7.312426569004095,
      -7.2834319092412185,
      -7.2570724370672055,
      -7.2332904261395345,
      -7.212031735963516,
      -7.193246334678968,
      -7.176888552323176,
      -7.162917409890422,
      -7.151296893568136,
      -7.141996172957098,
      -7.134989805250945,
      -7.1302579189320445,
      -7.1277862254506665,
      -7.127565893086876,
      -7.12959275314325,
      -7.1338677753455775,
      -7.140397555488946,
      -7.149194325595335,
      -7.160275739527296,
      -7.173664696320749,
      -7.189389153369105,
      -7.207481883694574,
      -7.22798019127972,
      -7.250925582760126,
      -7.276363336822873,
      -7.304341922511894,
      -7.334912502749377,
      -7.368128318836821,
      -7.404044042689795,
      -7.442714820387751,
      -7.484194662557694,
      -7.528535499237306,
      -7.575786173219857,
      -7.625990975222972,
      -7.679187982215599,
      -7.7354067053096855,
      -7.794666289156828,
      -7.856973960583376,
      -7.922322880268692,
      -7.990689928809713,
      -8.06203347439526,
      -8.136291048863727,
      -8.213376994678722,
      -8.293180924627643,
      -8.375566228781723,
      -8.460368865602701,
      -8.547396628626805,
      -8.636428976578106,
      -8.72721750189541,
      -8.819487091798377,
      -8.912937808650147,
      -9.007247482974865,
      -9.102074976773586,
      -9.197064036316705,
      -9.291847618671207,
      -9.38605254732548,
      -9.479304330476221,
      -9.571231965539425,
      -9.661472555197426,
      -9.749675573082888,
      -9.835506640873943,
      -9.918650709599058,
      -9.998814406910626,
      -10.07572742290121,
      -10.149144035976786,
      -10.218843706828565,
      -10.28463000449636,
      -10.346329899560171,
      -10.403793596107318,
      -10.456893118186107,
      -10.505520328755841,
      -10.549585249972582,
      -10.589014524071324,
      -10.623748880495421,
      -10.653741656748288,
      -10.678957336970381,
      -10.699369863709485,
      -10.714961377398232,
      -10.725721280205784,
      -10.731645380633074,
      -10.732735326189806,
      -10.728998271649083,
      -10.720445366177831,
      -10.707091835049493,
      -10.688959122408635,
      -10.666075504412976,
      -10.63847691552363,
      -10.60620809294305,
      -10.569323866212704,
      -10.527890831927301,
      -10.48198908452653,
      -10.431714808133643,
      -10.37718253599998,
      -10.318525691891326,
      -10.255897600814073,
      -10.189472397829869,
      -10.1194462966256,
      -10.046038610168946,
      -9.96949307297133,
      -9.890076521919912,
      -9.808077277248927,
      -9.723803569594258,
      -9.63758146767485,
      -9.549752256210212,
      -9.460669171351187,
      -9.37069353396025,
      -9.280190222208708,
      -9.189523340784701,
      -9.099051866147267,
      -9.009125405630545,
      -8.920080218817045,
      -8.832235633884011,
      -8.745890967211066,
      -8.661323022026975,
      -8.578784217533682,
      -8.498501370034024,
      -8.42067516379526,
      -8.345480492359023,
      -8.273066828917262,
      -8.20355900941921,
      -8.13705858101359,
      -8.07364544180798,
      -8.013379690152224,
      -7.956303859562969,
      -7.902445758515463,
      -7.851819840299092,
      -7.8044292654261795,
      -7.7602676617527795,
      -7.719320655262745,
      -7.68156727339167,
      -7.646983325268281,
      -7.615542818072673,
      -7.587217786078359,
      -7.561979348919513,
      -7.539798944249393,
      -7.520649272058193,
      -7.504504844099421,
      -7.4913425910851466,
      -7.481142374186917,
      -7.473887422559958,
      -7.469564733798725,
      -7.468165192852639,
      -7.46968270561032,
      -7.47411408547416,
      -7.481460186820521,
      -7.49172579719399,
      -7.504919275873863,
      -7.5210522258078285,
      -7.54013905652222,
      -7.562196467190673,
      -7.587242823274014,
      -7.615297304049135,
      -7.646379086144944,
      -7.6805064687617834,
      -7.7176958870187935,
      -7.757960547360693,
      -7.801308571234425,
      -7.847741843760075,
      -7.897254675032771,
      -7.949832124694032,
      -8.00544816901028,
      -8.064063327256747,
      -8.125623098347917,
      -8.190056598157259,
      -8.257274855677753,
      -8.327169249375423,
      -8.399610148749732,
      -8.474445801572294,
      -8.55150135528016,
      -8.630578641437204,
      -8.711456519617329,
      -8.793891533498282,
      -8.877619108983783,
      -8.962355301413497,
      -9.047799074372822,
      -9.133635067082858
    ],
    [
      12.565332806667413,
      12.562230930554392,
      12.557076386824654,
      12.549872791175892,
      12.540616075958967,
      12.529294564494595,
      12.515889640363728,
      12.500375873029029,
      12.482720349933725,
      12.462882647805262,
      12.440814771231013,
      12.4164599748507,
      12.389752894939555,
      12.360620577593473,
      12.328982181821239,
      12.294748076586936,
      12.257820892956486,
      12.218096691919481,
      12.175465001985417,
      12.12980862382493,
      12.081004117436043,
      12.028922457775442,
      11.973430907851904,
      11.914394489589322,
      11.85167600721037,
      11.78513710913552,
      11.714640018546786,
      11.64004830369942,
      11.56122799005697,
      11.478053096937435,
      11.390409918451839,
      11.298203362140672,
      11.20136218088089,
      11.099844797821573,
      10.993647068849453,
      10.882810988439697,
      10.767426870686835,
      10.647631186580753,
      10.52360745077312,
      10.39559227402817,
      10.2638826394584,
      10.128836541039224,
      9.990868590221236,
      9.850441547888325,
      9.70806315447559,
      9.564278074445486,
      9.419656194210086,
      9.274779434992853,
      9.130228009095248,
      8.98656627945339,
      8.844329158906788,
      8.704010208995207,
      8.566051698212132,
      8.430836988834093,
      8.298685422942828,
      8.169849686739628,
      8.044515468952012,
      7.922803126923876,
      7.804771135792212,
      7.690420489438515,
      7.579699791449775,
      7.472510924076354,
      7.3687148408366765,
      7.268136916340894,
      7.170571150713087,
      7.0757864329120705,
      6.983531484766701,
      6.89353844438294,
      6.805526028260037,
      6.719202907244697,
      6.63427025837954,
      6.5504237352549275,
      6.4673551322912735,
      6.384753788566126,
      6.3023075955281165,
      6.2197035835836045,
      6.136629223340212,
      6.052773394554329,
      5.967827635712533,
      5.881486261229737,
      5.7934470292833,
      5.70341388074652,
      5.611100887087373,
      5.5162352129601295,
      5.418558511177235,
      5.3178282402735855,
      5.213822568968811,
      5.106344379067315,
      4.995226112539842,
      4.880334282778512,
      4.761575479635595,
      4.638906729661029,
      4.512341195176865,
      4.381953049908641,
      4.247882193559394,
      4.110337850965863,
      3.969600253203877,
      3.826018804523269,
      3.680008136142788,
      3.532042355919532,
      3.3826464623458166,
      3.232383488445408,
      3.0818403511696224,
      2.9316124672986237,
      2.782287928113349,
      2.6344319557210265,
      2.488572605272758,
      2.345189015059641,
      2.2047022925001434,
      2.0674689735681953,
      1.9337770035819815,
      1.8038444058073713,
      1.6778203989357388,
      1.5557883757893065,
      1.4377703356500533,
      1.3237321451642916,
      1.2135895118577256,
      1.1072143310700961,
      1.0044402561281327,
      0.9050689356346973,
      0.8088755020471372,
      0.7156137859855717,
      0.6250209432877447,
      0.5368205654945574,
      0.4507259388674293,
      0.3664426278131399,
      0.28367038304107645,
      0.20210498376524194,
      0.1214397100664731,
      0.04136652129488351,
      -0.03842295526891322,
      -0.11823657508343434,
      -0.19838070438707095,
      -0.2791591786687898,
      -0.36087267594695066,
      -0.44381771213112564,
      -0.5282853877346084,
      -0.6145597985804622,
      -0.702916129431399,
      -0.7936182437903914,
      -0.8869155784109753,
      -0.9830402660304585,
      -1.0822035364695826,
      -1.184591530094546,
      -1.2903607650117335,
      -1.3996329689259113,
      -1.5124897463768123,
      -1.6289671091240547,
      -1.749050172699313,
      -1.8726684928785549,
      -1.999692158321168,
      -2.12992871918976,
      -2.2631218408260843,
      -2.398951724056987,
      -2.537037730314517,
      -2.6769437085600685,
      -2.8181854577220324,
      -2.9602403153836976,
      -3.102558562791854,
      -3.244576060086138,
      -3.3857274832064217,
      -3.5254597765974873,
      -3.6632447591463033,
      -3.7985903142364785,
      -3.9310497030504363,
      -4.060228670954839,
      -4.185790199810801,
      -4.307456933871615,
      -4.425011455298528,
      -4.538294757118327,
      -4.647203385745026,
      -4.75168502249359,
      -4.851733370754997,
      -4.947382741560223,
      -5.038702371502991,
      -5.125790834187837,
      -5.208771108650389,
      -5.287785848866197,
      -5.362993124206129,
      -5.434563979062567,
      -5.502679268183555,
      -5.567525645053359,
      -5.629292703619589,
      -5.688171040313135,
      -5.744350723653548,
      -5.798020024077146,
      -5.849364226681584,
      -5.898565227151509,
      -5.945801234662931,
      -5.9912463443853525,
      -6.0350702459965175,
      -6.077438698155235,
      -6.11851351271901,
      -6.158452633174846,
      -6.197410250201514,
      -6.23553724641758,
      -6.272981531970197,
      -6.309888389374649,
      -6.346400835713264,
      -6.3826599802042665,
      -6.418805384447933,
      -6.45497541939445,
      -6.491307613381933,
      -6.5279389860386745,
      -6.565006362375617,
      -6.602646661407476,
      -6.640997153003979,
      -6.680195676127113,
      -6.7203807942291895,
      -6.761691903905049,
      -6.804269190615151,
      -6.848253520052414,
      -6.893786461975528,
      -6.9410100914866355,
      -6.990066649185947,
      -7.041098064208407,
      -7.094245321114567,
      -7.149647650963373,
      -7.207441526110396,
      -7.267759438830755,
      -7.330728444942658,
      -7.396468212744083,
      -7.465089167447595,
      -7.536690413176369,
      -7.611357195984305,
      -7.689158162886947,
      -7.770142409072435,
      -7.854336422005624,
      -7.941741261566997,
      -8.032329180475882,
      -8.126040271758248,
      -8.222779647677019,
      -8.322414948508086,
      -8.424774534203776,
      -8.529646561786052,
      -8.636778874177057,
      -8.745879939692353,
      -8.856620942664675,
      -8.968639063338697,
      -9.081541918145536,
      -9.194913041657752,
      -9.308318103358747,
      -9.421311941674126,
      -9.533446050849994,
      -9.644276009118212,
      -9.753368629611408,
      -9.860308536750214,
      -9.964703914799308,
      -10.066191258500574,
      -10.164439403491063,
      -10.259151309719805,
      -10.350065252030124,
      -10.436955494119225,
      -10.519631177111236,
      -10.597934698877717,
      -10.671739456553585,
      -10.740947122688643,
      -10.805484616317923,
      -10.865300913955242,
      -10.92036389567816,
      -10.970656741560393,
      -11.016173154197899,
      -11.05691530772334,
      -11.092892463395554,
      -11.124118881767025,
      -11.150611798521256,
      -11.172389682549873,
      -11.18947076270211,
      -11.2018717624819,
      -11.209607017705977,
      -11.212687558713135,
      -11.211120227444246,
      -11.204907971442026,
      -11.194050380737288,
      -11.178544060548008,
      -11.158383089717482,
      -11.133558971524135,
      -11.104060620533627,
      -11.069877350475142,
      -11.031000885180115,
      -10.987427568566915,
      -10.939160929827594,
      -10.886215474642079,
      -10.828617804473675,
      -10.766409725943156,
      -10.69965125730606,
      -10.628422900246656,
      -10.552828486900902,
      -10.472998510166448,
      -10.389093583744254,
      -10.301305183648116,
      -10.209857686231642,
      -10.115009094590755,
      -10.017050419857254,
      -9.916304847715887,
      -9.813125859519566,
      -9.707893806391983,
      -9.601012199965202,
      -9.492904033612163,
      -9.38400419094846,
      -9.274753212156263,
      -9.165589595482023,
      -9.056942550331918,
      -8.949225490570486,
      -8.84283007460553,
      -8.738121016425481,
      -8.63543183661848,
      -8.535061659386368,
      -8.437273096416632,
      -8.342291591930932,
      -8.250306226762536,
      -8.16146970069214,
      -8.075900167434892,
      -7.993684345369713,
      -7.914878958794422,
      -7.8395133886966475,
      -7.767592846033784,
      -7.699101231773856,
      -7.634004319517699,
      -7.5722529941221755,
      -7.513785527897723,
      -7.458530241215609,
      -7.406408489709943,
      -7.357335963596939,
      -7.311224334806694,
      -7.267982876038375,
      -7.227519861108848,
      -7.18974376762876,
      -7.154564397130835,
      -7.1218946832496,
      -7.091651627343003,
      -7.063755709339275,
      -7.03813125026093,
      -7.014706897085208,
      -6.993415853312169,
      -6.974196101433201,
      -6.956990600597377,
      -6.941747438333954,
      -6.928419959656208,
      -6.916966867771823,
      -6.90735171155084,
      -6.899542799739261,
      -6.893513866597305,
      -6.889244126063033,
      -6.886718274098969,
      -6.885926485493361,
      -6.886864406621843,
      -6.889533142057384,
      -6.8939392062537355,
      -6.900094377137082,
      -6.908015820074382,
      -6.9177263446984965,
      -6.929254166935402,
      -6.942632781285716,
      -6.957900707502076,
      -6.975101510282452,
      -6.994283825690309,
      -7.015501232527045,
      -7.038812087781027,
      -7.064279318152842,
      -7.091970158377157,
      -7.121955826044532,
      -7.154311121170862,
      -7.189113937715864,
      -7.226444229284415,
      -7.26638304127151,
      -7.3090121941841355,
      -7.354412997324986,
      -7.402665195923473,
      -7.4538459509106865,
      -7.508028315778656,
      -7.565279514823413,
      -7.625659018201042,
      -7.689216416221121,
      -7.755989103864283,
      -7.825999691307906,
      -7.899253112012719,
      -7.9757343655572,
      -8.055405786854713,
      -8.138204356436614,
      -8.224039253124914,
      -8.3127899919572,
      -8.404304484994789,
      -8.498397477509453,
      -8.594849928658542,
      -8.693409165520592,
      -8.793789901604326,
      -8.89567617770385,
      -8.998724239109887,
      -9.102566313524246,
      -9.20681520042193,
      -9.311069530438605,
      -9.41491950830999,
      -9.517952918478148,
      -9.619761154493055,
      -9.71994503118871,
      -9.81812016736931,
      -9.913922076236931,
      -10.007009855341298,
      -10.097068949605788,
      -10.183813578531444,
      -10.266987909685298,
      -10.346366411204695,
      -10.421753422252086,
      -10.492982053031897,
      -10.559912539665657,
      -10.62243018433849,
      -10.680443007515768,
      -10.733879332762669,
      -10.782684462702198,
      -10.826816522988693,
      -10.866245127208728,
      -10.900950058972311,
      -10.930919244945093,
      -10.956146853514154,
      -10.976631634483942,
      -10.992375494017859,
      -11.003382269786876,
      -11.009656864520267,
      -11.011204177900538,
      -11.008028516922263,
      -11.000134196365268,
      -10.987525964471748,
      -10.970209352315369,
      -10.948191135653994,
      -10.921478656210121,
      -10.890081589126641,
      -10.854014689795914,
      -10.813299791849388,
      -10.767967713689215,
      -10.718061636830477,
      -10.663639423855443,
      -10.604774789523985,
      -10.541560479029538,
      -10.474109877101235,
      -10.40255907923547,
      -10.327068709416091,
      -10.247826619370976,
      -10.16504922253895,
      -10.078980924961733,
      -9.989894762178654,
      -9.898091449787813,
      -9.8038972634226,
      -9.70766158920395,
      -9.609753838738252,
      -9.510559346112393,
      -9.410474466970934,
      -9.3099013946467,
      -9.209242698174712,
      -9.10889613848994,
      -9.009249111206968,
      -8.910672915585579,
      -8.813518086580205,
      -8.718110531354823,
      -8.624748661079295,
      -8.533701649411132,
      -8.445207992096242,
      -8.359474610963582,
      -8.276677035083951,
      -8.19696029571773,
      -8.120440520046222,
      -8.047206678998032,
      -7.977322694113237,
      -7.910830223632067,
      -7.8477513206036,
      -7.78809055882233,
      -7.73183802354665,
      -7.678972116065152,
      -7.62946112745133,
      -7.583265282549049,
      -7.540338721705048,
      -7.500631310301354,
      -7.464090385344732,
      -7.430663339947061,
      -7.40029921840808,
      -7.372948317948181,
      -7.348563100561768,
      -7.327098939024132,
      -7.308514735945174,
      -7.292773504030266,
      -7.279842878603792,
      -7.269694905749475,
      -7.262305782495378,
      -7.257657050835756,
      -7.25573593174234,
      -7.256535416617147,
      -7.260054320308311,
      -7.266297256240351,
      -7.275274515131766,
      -7.287001984125789,
      -7.301500640844207,
      -7.318796172508861,
      -7.338918896250054,
      -7.361903341245505,
      -7.387787708594026,
      -7.416613229265509,
      -7.448423409386633,
      -7.4832631518629205,
      -7.521177562339101,
      -7.562210008722338
    ],
    [
      12.565653738957074,
      12.563509088004249,
      12.559941512900815,
      12.554950439322424,
      12.548529914751049,
      12.54066863614244,
      12.531349958607064,
      12.520551885860138,
      12.508246582000893,
      12.494399882884204,
      12.478971964694058,
      12.461917412838716,
      12.443185082168865,
      12.422718013040543,
      12.40045337428751,
      12.376322365333216,
      12.35025012455241,
      12.32215565005317,
      12.29195174062747,
      12.259544966170138,
      12.22483567867332,
      12.187718076890825,
      12.148080340393154,
      12.105804802008292,
      12.060767210033859,
      12.012837290098794,
      11.961881421650174,
      11.907763531089664,
      11.850345036880745,
      11.789486157914137,
      11.725047891752299,
      11.656893028520505,
      11.58488529868847,
      11.508893606804506,
      11.428797224422983,
      11.344490950406152,
      11.255889159438004,
      11.162927737875052,
      11.065568519733121,
      10.963806312644119,
      10.857677708661873,
      10.747262932148468,
      10.632684321397527,
      10.514107852431025,
      10.391753812210544,
      10.26589972090265,
      10.136879512700403,
      10.005077637866624,
      9.870927082885386,
      9.734905161770003,
      9.597524701071299,
      9.459323799576982,
      9.32085410427529,
      9.182667756247646,
      9.045305701525598,
      8.909286205819502,
      8.775093928426989,
      8.643170572036789,
      8.51390746862898,
      8.387640299832151,
      8.264645987834871,
      8.145141618164923,
      8.029284960039195,
      7.91717671691652,
      7.808863637050276,
      7.704343351321268,
      7.603569593493718,
      7.506457168955207,
      7.4128854717041355,
      7.322704177838083,
      7.235739489670624,
      7.151798342566636,
      7.070672180085129,
      6.992140354991737,
      6.915972128826766,
      6.84192868509785,
      6.769765859607769,
      6.69923577041203,
      6.630088047552009,
      6.562070777866368,
      6.494931211967977,
      6.4284162789083,
      6.3622729524577535,
      6.296248511117658,
      6.230090732492921,
      6.163548061562122,
      6.096369792850028,
      6.028306548384579,
      5.959110633960578,
      5.888535446092219,
      5.816336882513045,
      5.742274398024281,
      5.666110542651213,
      5.587610253371568,
      5.506543329335831,
      5.422688631445616,
      5.3358362917639734,
      5.245787022534545,
      5.152356034222561,
      5.055378692198576,
      4.954713587898935,
      4.8502498855046685,
      4.741913290511245,
      4.6296717062739985,
      4.513541837245599,
      4.393593461941117,
      4.269952146411636,
      4.142802728871374,
      4.012391272647819,
      3.87902508626415,
      3.7430706313858715,
      3.6049493131694703,
      3.4651312946044595,
      3.3241261207727177,
      3.182471687017998,
      3.0407224069630616,
      2.8994361774840924,
      2.7591604328864494,
      2.620419571354111,
      2.4837039591759194,
      2.349460085709615,
      2.2180827096156,
      2.0899089372485844,
      1.9652153722004755,
      1.844217325800595,
      1.727069821553097,
      1.6138701840741234,
      1.504661847373848,
      1.3994390490675,
      1.2981520195914933,
      1.2007123751371305,
      1.1069983481136743,
      1.0168598182077717,
      0.9301233628680423,
      0.8465967798319681,
      0.7660733869349371,
      0.688334940950375,
      0.6131541607397153,
      0.5402971741065239,
      0.46952556357916464,
      0.40059798910017974,
      0.3332713969312815,
      0.2673016082024307,
      0.20244397261238734,
      0.13845383451382126,
      0.0750868388308623,
      0.012099116477745891,
      -0.05075261316431691,
      -0.11371098689448678,
      -0.17701795486469513,
      -0.2409147162182384,
      -0.3056416110982488,
      -0.3714379341470363,
      -0.4385415729379742,
      -0.5071884608400633,
      -0.5776114887527087,
      -0.6500396553373115,
      -0.7246971238880744,
      -0.8018016677001591,
      -0.8815627788781799,
      -0.9641792361760639,
      -1.0498362220084534,
      -1.1387025469482912,
      -1.2309270957440845,
      -1.3266346038496275,
      -1.4259212712659468,
      -1.528850122854056,
      -1.635446240796356,
      -1.7456920492845813,
      -1.8595228778369852,
      -1.9768230713428814,
      -2.0974229460827414,
      -2.2210969046270095,
      -2.347563061257798,
      -2.476484708068744,
      -2.607473378556208,
      -2.7400939934864876,
      -2.8738719917108964,
      -3.0083021659065867,
      -3.142858915057517,
      -3.2770074336263018,
      -3.4102152800813945,
      -3.5419635693106084,
      -3.671757616806934,
      -3.799136562383844,
      -3.9236813703822353,
      -4.045020408062403,
      -4.1628331885896825,
      -4.2768521344823505,
      -4.386862545041038,
      -4.492701313995336,
      -4.594254076076104,
      -4.6914514648673045,
      -4.784264892926716,
      -4.872701388879983,
      -4.95679882403583,
      -5.036621573718241,
      -5.112255879319413,
      -5.183805343411786,
      -5.251387529094815,
      -5.3151322139668125,
      -5.375177783080293,
      -5.431667343235005,
      -5.4847459012361615,
      -5.534558451817924,
      -5.581248370495615,
      -5.624956172565526,
      -5.6658185431739625,
      -5.703967466791751,
      -5.7395293262786415,
      -5.77262448166112,
      -5.8033668140060515,
      -5.831863732482899,
      -5.858216362976702,
      -5.882519672510593,
      -5.90486244115141,
      -5.925327207856875,
      -5.943990234201917,
      -5.960921019120518,
      -5.976182609232218,
      -5.989832242465197,
      -6.001921495963599,
      -6.012496351805602,
      -6.021597294992399,
      -6.029259412581536,
      -6.035512484533028,
      -6.040381064475717,
      -6.043884549262682,
      -6.046037236208668,
      -6.046848367323853,
      -6.046322160244054,
      -6.044457825384433,
      -6.041249536242203,
      -6.036686267514275,
      -6.030751867454339,
      -6.023425102691732,
      -6.014679607201163,
      -6.004483819957453,
      -5.992800912495919,
      -5.97958870785736,
      -5.9647995929977995,
      -5.948380423272246,
      -5.930272414407982,
      -5.910411146138719,
      -5.888726489876097,
      -5.865141626234823,
      -5.839573601934833,
      -5.811933632558882,
      -5.782127123461031,
      -5.750054486423144,
      -5.7156109488182905,
      -5.678686296702093,
      -5.63916508963073,
      -5.596926923875339,
      -5.551847189010688,
      -5.5037989395713875,
      -5.45265478602794,
      -5.398287625335411,
      -5.34057179064962,
      -5.279384322534416,
      -5.21460738836401,
      -5.146130462622662,
      -5.073857310619342,
      -4.997708952016642,
      -4.917621592745335,
      -4.8335505796664515,
      -4.745470361632671,
      -4.6533813089311575,
      -4.557315431777623,
      -4.457345434628021,
      -4.353589734795664,
      -4.246210926410531,
      -4.135421157662627,
      -4.021480930504308,
      -3.9046976950788514,
      -3.7854253523916626,
      -3.6640588857724845,
      -3.541028731002105,
      -3.4167954587116354,
      -3.2918442758474806,
      -3.166676728800915,
      -3.041801894187313,
      -2.9177262103168093,
      -2.794943492663226,
      -2.673925455134627,
      -2.5551136546468016,
      -2.4389128660285575,
      -2.325685739256286,
      -2.215749105205762,
      -2.1093726279179665,
      -2.00677863391385,
      -1.9081430614604467,
      -1.8135975323514497,
      -1.723232338927575,
      -1.6371000610183293,
      -1.555219581979876,
      -1.4775802984364872,
      -1.4041463518309767,
      -1.3348607453271903,
      -1.2696492442667322,
      -1.2084239901225884,
      -1.1510868367243248,
      -1.0975326136332846,
      -1.047651843848947,
      -1.0013320023982595,
      -0.9584599259876367,
      -0.9189245262892894,
      -0.8826173219563576,
      -0.8494331214309867,
      -0.8192705556932648,
      -0.7920327225170396,
      -0.7676276517685563,
      -0.7459692951627739,
      -0.7269790346314418,
      -0.7105872121994731,
      -0.696735776557996,
      -0.685375687297038,
      -0.6764664440387209,
      -0.6699760269727636,
      -0.6658800513171623,
      -0.6641633206732134,
      -0.6648182020313722,
      -0.6678439872758838,
      -0.673247449167029,
      -0.6810419852506416,
      -0.6912482322692436,
      -0.703894071175039,
      -0.7190142391603053,
      -0.7366499710317433,
      -0.7568487780353041,
      -0.7796644376628509,
      -0.8051563774247328,
      -0.8333893308832744,
      -0.8644326537715487,
      -0.8983600099213995,
      -0.9352490956101518,
      -0.975180785131022,
      -1.018237651918159,
      -1.0645028841740833,
      -1.1140593867091406,
      -1.1669886855366238,
      -1.2233686519381044,
      -1.28327130131303,
      -1.3467604901190509,
      -1.4138893591977877,
      -1.4846975364042347,
      -1.55920812602068,
      -1.6374245300299552,
      -1.7193271667852739,
      -1.804870293685189,
      -1.893978980161473,
      -1.9865459305418864,
      -2.0824289389254904,
      -2.1814487900174258,
      -2.283387900024931,
      -2.3879898953119065,
      -2.4949602230134933,
      -2.6039678995571522,
      -2.7146484510517213,
      -2.826608035144902,
      -2.9394286611064935,
      -3.0526743514280548,
      -3.1658980203381346,
      -3.2786488853329017,
      -3.3904800396480947,
      -3.5009553690754895,
      -3.609656271633856,
      -3.7161877796474854,
      -3.8201835111958333,
      -3.921309370370256,
      -4.019266303915601,
      -4.113791750625243,
      -4.204659989407229,
      -4.291681647585563,
      -4.374702161206666,
      -4.453599200842986,
      -4.528280246644078,
      -4.598680155937173,
      -4.664757678802364,
      -4.726491877754458,
      -4.783880684096466,
      -4.836938835373003,
      -4.8856924333158105,
      -4.930175779375371,
      -4.970428851454309,
      -5.006495137571892,
      -5.038419677539288,
      -5.066247241068012,
      -5.090019517866739,
      -5.109773774454112,
      -5.125542865892105,
      -5.137354232477207,
      -5.145229319749413,
      -5.1491838479188585,
      -5.149227400401728,
      -5.145362846016888,
      -5.137586669289629,
      -5.12588934553749,
      -5.110255797637815,
      -5.090665610132727,
      -5.06709236258382,
      -5.039505832306231,
      -5.007874607571202,
      -4.972167099933926,
      -4.932351432248175,
      -4.888398773955422,
      -4.840287703135237,
      -4.788005426028181,
      -4.731548986113958,
      -4.670927439316601,
      -4.606166792569011,
      -4.537317009528811,
      -4.4644469598258585,
      -4.38764657890129,
      -4.307027029972387,
      -4.222726144921028,
      -4.134911882505292,
      -4.043789404613551,
      -3.9496005334654933,
      -3.852619907898237,
      -3.753157825138115,
      -3.651557290223151,
      -3.548189927250926,
      -3.443449628326493,
      -3.337748672364468,
      -3.2315107048627323,
      -3.125165433101817,
      -3.0191437076492806,
      -2.91387130890349,
      -2.8097629886066313,
      -2.7072168526997786,
      -2.6066094961871062,
      -2.5082908885703143,
      -2.412580721063409,
      -2.3197659230208423,
      -2.230099254485144,
      -2.1437989059782065,
      -2.061048947842382,
      -1.9820005172297432,
      -1.906773613987886,
      -1.8354594030344231,
      -1.768123016851867,
      -1.704806575602757,
      -1.645531227812421,
      -1.590300675642192,
      -1.5391047643502225,
      -1.4919217429442484,
      -1.4487210800013328,
      -1.4094645534603887,
      -1.3741081803780633,
      -1.3426074267402182,
      -1.3149180945913101,
      -1.2909978281557668,
      -1.2708071708795352,
      -1.2543085327291763,
      -1.2414737292593458,
      -1.2322809633779412,
      -1.2267117910801517,
      -1.2247525270405393,
      -1.226397411348918,
      -1.231646252742802,
      -1.2405029757850439,
      -1.2529752564988133,
      -1.2690741456641235,
      -1.2888137441042444,
      -1.3122101199098009,
      -1.3392805561969374,
      -1.3700426942817563,
      -1.4045136802971652,
      -1.4427091046397382,
      -1.4846414702466026,
      -1.53031879061338,
      -1.5797426777532673,
      -1.6329066759423156,
      -1.6897941827602794,
      -1.7503755463579986,
      -1.8146057090257042,
      -1.8824218484280804,
      -1.9537410179364736,
      -2.028457900918492,
      -2.106442768869916,
      -2.187539742704736,
      -2.2715655881900556,
      -2.3583089390368857,
      -2.4475299179269445,
      -2.538960602640316,
      -2.632306264541922,
      -2.7272473916525364,
      -2.8234424888523293,
      -2.9205316063146203,
      -3.0181405050845753,
      -3.1158853291465047,
      -3.2133776203180635,
      -3.310229489455538,
      -3.4060587114461884,
      -3.5004934424039726,
      -3.5931766903699565,
      -3.6837703731774174,
      -3.771958501197137,
      -3.8574497642068337
    ],
    [
      12.565852120064148,
      12.564300554085301,
      12.561718798649853,
      12.558105781813719,
      12.553456305866137,
      12.547760696108991,
      12.541005239842633,
      12.533172391011595,
      12.524240404178123,
      12.51418309748937,
      12.502970190457484,
      12.490567239906074,
      12.47693555303807,
      12.462032095125117,
      12.445809385065724,
      12.428215376957,
      12.409193340971717,
      12.388681741277873,
      12.36661411339712,
      12.342918944865888,
      12.31751951812985,
      12.290333689298835,
      12.261273923990313,
      12.230247280361853,
      12.197155389181422,
      12.161894480880234,
      12.124355472133201,
      12.084424048814542,
      12.041980510161938,
      11.996900350369355,
      11.949054973752046,
      11.898312159044721,
      11.844535117509656,
      11.787583274992866,
      11.727314951907871,
      11.66358943179799,
      11.596266856362583,
      11.525210904947787,
      11.45029437451894,
      11.371401558835245,
      11.28843174515597,
      11.201304078972624,
      11.10995998766003,
      11.014367618911882,
      10.91452840111899,
      10.810485092214284,
      10.702324644594967,
      10.590178190184977,
      10.474224587839311,
      10.354694403181423,
      10.231872092154994,
      10.106091675801451,
      9.977734955517821,
      9.847229752997402,
      9.715042945641269,
      9.581671828484021,
      9.447635583806308,
      9.313464385511372,
      9.179688867590324,
      9.046829261055695,
      8.915384434962455,
      8.785821950970321,
      8.658569569645868,
      8.534008521427179,
      8.412468712854869,
      8.294225797623621,
      8.17949937706245,
      8.068453903842837,
      7.961201382906214,
      7.85780462178257,
      7.758281268971988,
      7.662608175513636,
      7.570724980511767,
      7.482537362048108,
      7.397923318376981,
      7.316739256034311,
      7.238823009094768,
      7.1639969412368165,
      7.092072341002548,
      7.022853529373694,
      6.9561400814474075,
      6.891727363546694,
      6.829408014967448,
      6.768973189670215,
      6.710213465720702,
      6.652919518794232,
      6.596882599489659,
      6.541894706547059,
      6.487748644395786,
      6.434238352403257,
      6.381159017603949,
      6.328306950546077,
      6.275479156334908,
      6.222473052086466,
      6.169086437864231,
      6.11511730380937,
      6.060363549017311,
      6.0046229114020315,
      5.947693049426927,
      5.889371931519609,
      5.82945832452819,
      5.767751758750736,
      5.7040532539806605,
      5.638165739085981,
      5.569892424272884,
      5.499039205099098,
      5.425413443740566,
      5.348825997886908,
      5.269095765709801,
      5.186051123405844,
      5.099533743709846,
      5.009404319785503,
      4.915546737899631,
      4.817871883080077,
      4.7163227827064125,
      4.610879977098205,
      4.501566183634081,
      4.388452213337048,
      4.271660681045397,
      4.151367702744543,
      4.027804799635644,
      3.901259209525278,
      3.772072447541929,
      3.640637151141562,
      3.507391782316681,
      3.3728133606803334,
      3.237408481925504,
      3.1017035658902223,
      2.966232636307002,
      2.831524780249556,
      2.698093566616945,
      2.5664259564002534,
      2.436972785926731,
      2.310140978617102,
      2.1862879260639123,
      2.0657181101770736,
      1.9486807528749053,
      1.8353695654412994,
      1.7259243201450956,
      1.6204336918455882,
      1.5189390234759994,
      1.4214387472098047,
      1.327893228876399,
      1.2382296765158423,
      1.1523467576237219,
      1.0701193318470246,
      0.9914033516308617,
      0.9160392775264133,
      0.8438554615401226,
      0.7746710518221637,
      0.7082984120210668,
      0.6445454253937479,
      0.5832173353738195,
      0.5241179440238842,
      0.46705088403459455,
      0.41182036873018735,
      0.35823159806383414,
      0.306091163169419,
      0.25520728468237747,
      0.20538996798781003,
      0.1564510493803698,
      0.10820401390066262,
      0.06046379598616689,
      0.013046555986807526,
      -0.03423057892463728,
      -0.08154979419063493,
      -0.12909287323102614,
      -0.17704147468287473,
      -0.22557738742517772,
      -0.274882757490326,
      -0.3251402787985779,
      -0.3765332683224802,
      -0.4292456695475163,
      -0.4834619567721826,
      -0.5393669105909914,
      -0.5971452402063637,
      -0.6569810260498796,
      -0.7190567689731009,
      -0.7835520026933404,
      -0.8506422411375659,
      -0.9204976169117243,
      -0.993281051620947,
      -1.0691459966601793,
      -1.148233805633482,
      -1.2306707246120547,
      -1.3165645844679494,
      -1.4060013269983562,
      -1.499040845622451,
      -1.595712751971796,
      -1.696012150619303,
      -1.7998955089366246,
      -1.9072768185360784,
      -2.0180242765293555,
      -2.1319577373468284,
      -2.248847192956353,
      -2.3684125267370253,
      -2.490324749246038,
      -2.6142088611816288,
      -2.739648401296239,
      -2.866191630535976,
      -2.993359222147214,
      -3.1206532728133745,
      -3.2475668657014727,
      -3.373594002822969,
      -3.4982395050300616,
      -3.6210283235874243,
      -3.7415138442503713,
      -3.8592848159571465,
      -3.9739705598303523,
      -4.085244793804025,
      -4.1928277731071555,
      -4.296486518436418,
      -4.39603390485057,
      -4.49132679079285,
      -4.582262837458499,
      -4.668776931646115,
      -4.750837273580522,
      -4.828441234367446,
      -4.901611143631931,
      -4.9703896793978535,
      -5.034835405577723,
      -5.095019768994479,
      -5.151024606854975,
      -5.2029396462752295,
      -5.2508606315363044,
      -5.294885161504449,
      -5.335110250890865,
      -5.371630656041,
      -5.4045374712926515,
      -5.433916500653278,
      -5.4598463848884675,
      -5.482398769356882,
      -5.501638499742753,
      -5.517623313583259,
      -5.530402941019892,
      -5.540018178567036,
      -5.54650002827185,
      -5.549869890341617,
      -5.550140273563977,
      -5.547315027073825,
      -5.541389526693819,
      -5.532350531657075,
      -5.5201760482810025,
      -5.504835262178089,
      -5.486289113556808,
      -5.464490639827793,
      -5.439385448538696,
      -5.410912505724873,
      -5.379004590840752,
      -5.343588693917835,
      -5.304587235250765,
      -5.261919781916493,
      -5.215505794771438,
      -5.165267266357305,
      -5.111130247069826,
      -5.053026392124749,
      -4.990894086802745,
      -4.924680486175595,
      -4.854345880650786,
      -4.779870342980986,
      -4.701256889999651,
      -4.618530180684447,
      -4.5317379279571615,
      -4.440953341813278,
      -4.346282397130176,
      -4.247867497047099,
      -4.145893221534554,
      -4.040591898704569,
      -3.9322394847181834,
      -3.8211540681493354,
      -3.7076920436293443,
      -3.592248953624543,
      -3.475252443193426,
      -3.3571536922183935,
      -3.2384211228256445,
      -3.119533582574893,
      -3.0009741968112134,
      -2.88322094402292,
      -2.766737731474916,
      -2.6519664354466186,
      -2.539320457990997,
      -2.4291793717569514,
      -2.3218844574504467,
      -2.217735671723746,
      -2.1169901684684937,
      -2.019862108564886,
      -1.9265236664467187,
      -1.837107150764719,
      -1.7517075234989572,
      -1.670385528512306,
      -1.5931712569006145,
      -1.5200678851975415,
      -1.451055451215154,
      -1.3860946543367056,
      -1.3251308122642969,
      -1.2680970669189358,
      -1.2149158609143231,
      -1.1655027438122794,
      -1.1197696544137843,
      -1.0776257667295894,
      -1.0389794093315308,
      -1.0037404458995787,
      -0.9718219147895286,
      -0.9431398467362296,
      -0.9176156144371161,
      -0.8951773649544748,
      -0.8757604844548373,
      -0.859307512223985,
      -0.8457703755744788,
      -0.8351093636427122,
      -0.8272916855895217,
      -0.8222912310537508,
      -0.8200901401112822,
      -0.8206797310231332,
      -0.8240600288984012,
      -0.8302377291073987,
      -0.8392252883709433,
      -0.8510419070272778,
      -0.8657139568159075,
      -0.8832743862608916,
      -0.9037621281343862,
      -0.9272216035648806,
      -0.9537020432167429,
      -0.9832567892200904,
      -1.0159431629109663,
      -1.0518218910639807,
      -1.0909560833058496,
      -1.1334099170954302,
      -1.1792473705611246,
      -1.2285307243695671,
      -1.281319373452569,
      -1.337667741789177,
      -1.3976226245037435,
      -1.4612207685949212,
      -1.528486221660263,
      -1.5994274429605155,
      -1.6740344168830337,
      -1.7522756557708388,
      -1.834095170113824,
      -1.9194096068789857,
      -2.0081057300806915,
      -2.1000378652919096,
      -2.19502600398535,
      -2.2928546223829964,
      -2.3932723000911698,
      -2.4959922654275637,
      -2.600693990216824,
      -2.707025924042034,
      -2.814609103661819,
      -2.9230417950579106,
      -3.0319050230263955,
      -3.140768761016636,
      -3.2491985401855685,
      -3.3567622054821964,
      -3.463036535394356,
      -3.567613452548193,
      -3.670105583039904,
      -3.770150864202619,
      -3.867415988725454,
      -3.9615994993709127,
      -4.052433287636529,
      -4.139683008255349,
      -4.223147807920801,
      -4.302659334703712,
      -4.378080284011905,
      -4.449301927001946,
      -4.516241346816762,
      -4.578838372743516,
      -4.637052278083942,
      -4.690860058483153,
      -4.74025324983007,
      -4.785236108000859,
      -4.825823645795147,
      -4.862037353763494,
      -4.893902871448148,
      -4.921448046381573,
      -4.944700758820175,
      -4.963687046065946,
      -4.978430658380421,
      -4.98895300649195,
      -4.99527036246145,
      -4.99739319145294,
      -4.995327861989162,
      -4.989076850355236,
      -4.978638138997678,
      -4.964005387654084,
      -4.945168837908958,
      -4.922116078107127,
      -4.894832608052497,
      -4.863303063380562,
      -4.8275136702809345,
      -4.78745375440215,
      -4.7431196616660145,
      -4.694518777896964,
      -4.641669713389359,
      -4.584602672319271,
      -4.523361318418136,
      -4.4580065429817655,
      -4.388622986177068,
      -4.315319978955781,
      -4.238229543424506,
      -4.157506185013133,
      -4.0733290532783695,
      -3.9859066067185167,
      -3.895477420228789,
      -3.8023129574679673,
      -3.706718878469226,
      -3.6090301367318185,
      -3.5096077798011973,
      -3.4088337994307896,
      -3.3071069693006105,
      -3.2048402170405,
      -3.102450848385246,
      -3.000354361582954,
      -2.898960342221111,
      -2.7986670668112876,
      -2.699856815376918,
      -2.6028914541585997,
      -2.5081078565628108,
      -2.4158147126623315,
      -2.326290300741776,
      -2.2397811948623496,
      -2.1565018380312893,
      -2.0766349039216276,
      -2.000332538085327,
      -1.9277184890857406,
      -1.8588888663095395,
      -1.7939143474005013,
      -1.7328429916781256,
      -1.6757035526671578,
      -1.6225092751073817,
      -1.5732604589095545,
      -1.527946782878168,
      -1.4865498795936156,
      -1.4490446792160028,
      -1.4154020005103372,
      -1.3855913079421271,
      -1.3595806064238933,
      -1.3373349414595692,
      -1.3188229887997027,
      -1.3040196926305574,
      -1.2929035011069645,
      -1.2854561959909667,
      -1.2816634182284592,
      -1.2815174152800919,
      -1.2850152379494726,
      -1.2921575079496594,
      -1.3029480145763837,
      -1.3173932672521704,
      -1.335502425271799,
      -1.3572859574971021,
      -1.3827548024039062,
      -1.4119193512039525,
      -1.44478916984501,
      -1.4813720789695788,
      -1.5216731639990728,
      -1.565692954051973,
      -1.6134253691264195,
      -1.6648559493254262,
      -1.7199603463146076,
      -1.778701944284799,
      -1.8410292586926817,
      -1.906873607086393,
      -1.9761469103790623,
      -2.0487396116775227,
      -2.124518822631137,
      -2.2033267540842245,
      -2.2849794388620586,
      -2.369266097382745,
      -2.4559491605631396,
      -2.54476463140349,
      -2.6354232230379684,
      -2.7276122814818655,
      -2.820998420422165,
      -2.915230838060072,
      -3.0099452127807567,
      -3.104768060344554,
      -3.199321400632983,
      -3.293227510130229,
      -3.3861136814699133,
      -3.47761686752231,
      -3.5673879694184247,
      -3.6550957738231142,
      -3.7404295660223355,
      -3.8231011777596944,
      -3.9028470860534727,
      -3.979429507798695,
      -4.052636713525276,
      -4.122282708144067,
      -4.188206388762847,
      -4.250270264014084,
      -4.308358663853109,
      -4.362376254211949,
      -4.412246346326475,
      -4.457908246082803,
      -4.499316505213205,
      -4.5364396003574905,
      -4.56925616044859,
      -4.5977529187734065,
      -4.621923035343836
    ],
    [
      12.56587002801597,
      12.56437190449446,
      12.561878808256287,
      12.558389486154688,
      12.55389867667179,
      12.548396819326431,
      12.54187062532474,
      12.534303169260996,
      12.525673692605702,
      12.515957544898722,
      12.505126115142112,
      12.493146780484443,
      12.47998282976848,
      12.465593373524781,
      12.449933244788719,
      12.43295289235398,
      12.414598267932789,
      12.394810255255374,
      12.373524394450794,
      12.350671285523257,
      12.326176514074747,
      12.299960542413155,
      12.271938616313678,
      12.242020657323337,
      12.21011091892553,
      12.176108081247758,
      12.139905513541128,
      12.101391388392814,
      12.060448885726261,
      12.016956492347907,
      11.97078810553306,
      11.921812917306355,
      11.86989584151867,
      11.814899418153198,
      11.756685225449512,
      11.69511478798294,
      11.630049430775532,
      11.561351543565443,
      11.488887834750928,
      11.412534256130584,
      11.332180032617455,
      11.247732828003187,
      11.15911989854112,
      11.06629264288419,
      10.96923295560457,
      10.867959031925421,
      10.762531126119056,
      10.653053218380578,
      10.53967876928754,
      10.42261202424363,
      10.302106959312901,
      10.178466522921996,
      10.052041487595586,
      9.923231107128398,
      9.792478120826448,
      9.660260251710577,
      9.527080889762559,
      9.393460826806287,
      9.259928303932664,
      9.127008042244471,
      8.995210316442833,
      8.865020452193988,
      8.736889504759768,
      8.611226505234262,
      8.488392487297435,
      8.368696107395287,
      8.252391615737514,
      8.139678686380437,
      8.030702744901525,
      7.925557832476206,
      7.824290783978538,
      7.726905447130812,
      7.633367117594976,
      7.54360635173942,
      7.45752255503403,
      7.374989202368769,
      7.2958575499470575,
      7.219961936930739,
      7.147124601300891,
      7.077159185864045,
      7.009872383266308,
      6.945066224817318,
      6.882539506439402,
      6.82208906058816,
      6.763511979247592,
      6.706606034065215,
      6.651169298148515,
      6.597000654233777,
      6.5438999106792535,
      6.491667883476777,
      6.440106330162632,
      6.389017982943743,
      6.338206425796299,
      6.287475893589382,
      6.236631043611389,
      6.185476718074041,
      6.1338172829684465,
      6.081456505539024,
      6.028198549798423,
      5.973847353097442,
      5.918207487722149,
      5.8610843307009075,
      5.802283437436105,
      5.741610877964338,
      5.67887372753993,
      5.6138802467017035,
      5.546440904416617,
      5.47636692293492,
      5.403471069296743,
      5.327570794101776,
      5.24849160963296,
      5.166067640847985,
      5.080147419953083,
      4.990598688713151,
      4.897312280178221,
      4.800206657864241,
      4.699232560908597,
      4.594377993661351,
      4.485673103458501,
      4.373194828052518,
      4.2570717017593624,
      4.137485621713672,
      4.0146734678947205,
      3.8889272170141935,
      3.7605921368113835,
      3.6300632539547,
      3.4977800091382445,
      3.364218635473272,
      3.2298831418260576,
      3.0952955648303906,
      2.9609850920249325,
      2.8274769877196637,
      2.695280781981936,
      2.564879097427069,
      2.436718212072311,
      2.3112009639525466,
      2.1886814256598943,
      2.069461283931764,
      1.9537880948644655,
      1.8418549833991604,
      1.7338021989017902,
      1.6297199518953114,
      1.529652172201598,
      1.433600885589418,
      1.3415309829878015,
      1.2533754566195014,
      1.1690400522792057,
      1.0884073932728682,
      1.0113412710838858,
      0.9376905201713462,
      0.8672922046612102,
      0.7999747059746396,
      0.735560226173985,
      0.673867120468425,
      0.6147113475147339,
      0.5579078103606152,
      0.5032715244202287,
      0.4506184594801394,
      0.39976613236526226,
      0.35053402077163726,
      0.3027438209425569,
      0.256219573314614,
      0.2107876439612278,
      0.16627638976856374,
      0.12251620350895912,
      0.0793395464245849,
      0.0365807004040263,
      -0.005924641600721203,
      -0.04833969235772379,
      -0.09082689237044313,
      -0.13354823207907401,
      -0.17666556866016683,
      -0.220340971212614,
      -0.26473697252210965,
      -0.31001677276632755,
      -0.3563445028017471,
      -0.40388529213568714,
      -0.4528054664644042,
      -0.5032724491473644,
      -0.5554544168368495,
      -0.6095199297405489,
      -0.6656371715562025,
      -0.7239733421862636,
      -0.7846935179239414,
      -0.8479597371761981,
      -0.9139298574704968,
      -0.98275582988758,
      -1.054581689321325,
      -1.1295413656832025,
      -1.2077560959334523,
      -1.2893311868159745,
      -1.3743526349679893,
      -1.4628834975381684,
      -1.5549600413763267,
      -1.6505877103610729,
      -1.7497372136705744,
      -1.8523408219051347,
      -1.958288974456375,
      -2.0674274763815705,
      -2.1795555173974623,
      -2.294424744149228,
      -2.411739595629349,
      -2.531159068395832,
      -2.652300011884218,
      -2.7747419675553573,
      -2.898033465707828,
      -3.0216995886237252,
      -3.145250510176235,
      -3.2681906644085617,
      -3.3900280574472754,
      -3.510283320309769,
      -3.628498123125104,
      -3.744242560063697,
      -3.8571212312399132,
      -3.966777845313006,
      -4.072897730854825,
      -4.17520918975869,
      -4.273484269117703,
      -4.367537809708685,
      -4.457225783618325,
      -4.542441851030168,
      -4.6231134689588345,
      -4.699198089389693,
      -4.770679031951876,
      -4.8375616035050975,
      -4.899869062431609,
      -4.957639163569968,
      -5.010921562089891,
      -5.059774904775213,
      -5.104263035810241,
      -5.144452433650648,
      -5.180411075469846,
      -5.212207801678762,
      -5.2399075837965885,
      -5.2635708035527635,
      -5.283252424870158,
      -5.299000738209836,
      -5.310857089526714,
      -5.318855438809481,
      -5.32302178695295,
      -5.3233725037450865,
      -5.319914599153531,
      -5.312646396494607,
      -5.30155784678605,
      -5.286630562125871,
      -5.267838577414279,
      -5.245148912410059,
      -5.2185222972174214,
      -5.187915293607656,
      -5.1532822791389234,
      -5.1145740169993354,
      -5.071740010743779,
      -5.024732266137179,
      -4.973509822196838,
      -4.918038839310567,
      -4.858293525282314,
      -4.794258168611092,
      -4.725931996189116,
      -4.653333679330916,
      -4.576501929745724,
      -4.495502125284493,
      -4.410427724545189,
      -4.321400367766302,
      -4.22856960118972,
      -4.13211769516805,
      -4.0322648309218785,
      -3.9292718459062526,
      -3.8234435277829353,
      -3.7151242811156213,
      -3.6046909880902356,
      -3.4925512501890275,
      -3.379142526905138,
      -3.264920043585723,
      -3.150348013937936,
      -3.0358957905210926,
      -2.922028762774145,
      -2.809201381659876,
      -2.6978499558451077,
      -2.5883861116233313,
      -2.4811909967163275,
      -2.3766110103956315,
      -2.274954889102113,
      -2.176491838130486,
      -2.0814508684362707,
      -1.9900212283599734,
      -1.9023537793218037,
      -1.818563140428358,
      -1.7387304187058512,
      -1.6629063461140554,
      -1.5911147365339564,
      -1.523356448028416,
      -1.459612852633969,
      -1.3998476913728575,
      -1.344010551604097,
      -1.2920404811341197,
      -1.2438697288923668,
      -1.1994264910436403,
      -1.1586374005487143,
      -1.1214280965056074,
      -1.087723948155617,
      -1.0574531315258797,
      -1.030548177290248,
      -1.0069449178010677,
      -0.9865833295786995,
      -0.9694121804760314,
      -0.9553864845299987,
      -0.9444664946692308,
      -0.9366202030355718,
      -0.9318237686025345,
      -0.9300624695667467,
      -0.9313298275897455,
      -0.9356264169113068,
      -0.9429575456374952,
      -0.9533346184231181,
      -0.9667752718325898,
      -0.9833027926607554,
      -1.0029458522121713,
      -1.0257383911706242,
      -1.0517181505560218,
      -1.0809263526385338,
      -1.113407349657265,
      -1.1492074156660712,
      -1.1883741372989787,
      -1.2309550137841296,
      -1.2769959890210902,
      -1.326540001354392,
      -1.3796255014402858,
      -1.4362845118837297,
      -1.4965397409682508,
      -1.5604020498791797,
      -1.6278678582021597,
      -1.6989164277900504,
      -1.7735072866427024,
      -1.8515775297710864,
      -1.9330389077010617,
      -2.0177753440482893,
      -2.1056408015171755,
      -2.1964576023395033,
      -2.2900153344164513,
      -2.3860704682444163,
      -2.4843467934047436,
      -2.5845367562659853,
      -2.6863037424850487,
      -2.7892853596676983,
      -2.8930975993093386,
      -2.9973396430168133,
      -3.101599346405459,
      -3.205459146369541,
      -3.3085021450893004,
      -3.4103181251965418,
      -3.5105092556844957,
      -3.6086952707770323,
      -3.7045176599568284,
      -3.797643177838298,
      -3.8877668654331656,
      -3.9746140692243963,
      -4.0579414352927,
      -4.137536564970768,
      -4.213217085614304,
      -4.284829328357635,
      -4.3522463098901865,
      -4.415365820815564,
      -4.474107848470316,
      -4.528411705765704,
      -4.578234648559226,
      -4.623548779673029,
      -4.66433799762777,
      -4.700595782037938,
      -4.732323696864003,
      -4.759530836088905,
      -4.782229265348697,
      -4.800432961111186,
      -4.8141567480643985,
      -4.823414922780968,
      -4.828221072311717,
      -4.828585436563481,
      -4.824515249218177,
      -4.816015574959988,
      -4.803089183336239,
      -4.785737813687668,
      -4.763962770000431,
      -4.737766394427073,
      -4.707154255150676,
      -4.672135863427274,
      -4.632726047676664,
      -4.58894853500817,
      -4.540841237218143,
      -4.488455104542473,
      -4.431854625263324,
      -4.371120129713113,
      -4.30635263163713,
      -4.237673816664591,
      -4.1652281934789865,
      -4.089188138264237,
      -4.009750906908388,
      -3.927138058606763,
      -3.841593576829735,
      -3.753387569892023,
      -3.662816799392476,
      -3.5702032208830063,
      -3.475894575647112,
      -3.380260407207951,
      -3.283684938641998,
      -3.1865611542759136,
      -3.0892859000140134,
      -2.992258176951877,
      -2.8958732112450436,
      -2.8005127376384467,
      -2.7065418409531814,
      -2.614306452073494,
      -2.5241293486801806,
      -2.4363078208549087,
      -2.3511116625537016,
      -2.268781590153235,
      -2.189528366168219,
      -2.1135334266330013,
      -2.040949920560032,
      -1.971904092512482,
      -1.9064972412903016,
      -1.8448087793390786,
      -1.7869003973174855,
      -1.7328161136749778,
      -1.6825827811382543,
      -1.6362134349957445,
      -1.5937101308068808,
      -1.55506785690047,
      -1.5202752229128123,
      -1.4893141634765317,
      -1.4621617011854486,
      -1.4387961172131822,
      -1.4191941203751388,
      -1.4033350944483953,
      -1.3912022207926666,
      -1.3827797378728532,
      -1.3780551267023506,
      -1.3770215862489317,
      -1.379675172724855,
      -1.3860136303528099,
      -1.396035192195261,
      -1.4097389893283483,
      -1.4271257438038223,
      -1.4481969759110846,
      -1.4729531545629992,
      -1.501393235089715,
      -1.5335142314226633,
      -1.569309978210243,
      -1.6087699938904856,
      -1.651878154728769,
      -1.6986109339441031,
      -1.7489355632937753,
      -1.8028084730458602,
      -1.8601733599501766,
      -1.9209587271241666,
      -1.9850760960366862,
      -2.052418147285451,
      -2.122856859359605,
      -2.1962422089602045,
      -2.2724010865942663,
      -2.351136346916232,
      -2.4322265165991492,
      -2.5154260625111604,
      -2.6004662481640577,
      -2.6870566068241297,
      -2.7748870333648386,
      -2.8636304674448807,
      -2.952946109423529,
      -3.0424830808176164,
      -3.1318844145809512,
      -3.2207912406802657,
      -3.3088470202370885,
      -3.395701427525958,
      -3.4810142114874636,
      -3.5644590718581446,
      -3.6457269946603286,
      -3.7245284840187267,
      -3.8005953225263003,
      -3.8736815888417455,
      -3.9435643416372783,
      -4.010044005806897,
      -4.072944035205329,
      -4.132110068931537,
      -4.187408794138747,
      -4.238726882017879,
      -4.285969728428742,
      -4.32905938522584,
      -4.367932621285512,
      -4.402539400533922,
      -4.432841184846034,
      -4.4588108590531705,
      -4.480430261367966,
      -4.497687533958892,
      -4.51057697597196,
      -4.519097532431847,
      -4.523251965967704,
      -4.523044550462332,
      -4.518482402220285,
      -4.509575288016273,
      -4.4963361979565635,
      -4.478782438893891,
      -4.456936196026875
    ],
    [
      12.565775706968024,
      12.563996004823146,
      12.561035612582007,
      12.556894114924837,
      12.551566616645278,
      12.54504376591434,
      12.53731161337945,
      12.528351047576551,
      12.518138204754662,
      12.506644677710115,
      12.493837456446185,
      12.479678856589967,
      12.464126437138164,
      12.447132908457059,
      12.428646033093633,
      12.408608521410045,
      12.38695792507462,
      12.36362636267466,
      12.338539807869138,
      12.311618479057053,
      12.282777015275048,
      12.251924404395284,
      12.218963901895327,
      12.183793211006032,
      12.146305074025408,
      12.106387126344982,
      12.063921633602503,
      12.018785116372902,
      11.970849445394268,
      11.919981925520242,
      11.866045637155224,
      11.808901236699528,
      11.748408232422161,
      11.684426938284355,
      11.616819873266138,
      11.545454708917653,
      11.470202599981887,
      11.390942300786882,
      11.307567236724951,
      11.219991635079966,
      11.128154657070645,
      11.032023556350403,
      10.931599859489241,
      10.82692660677405,
      10.718088559251415,
      10.605213302574601,
      10.488478550220615,
      10.368116798570588,
      10.24440792826069,
      10.11768188877311,
      9.988319789062947,
      9.85674944566327,
      9.723438626584088,
      9.588885298622047,
      9.453610889892023,
      9.318150310066624,
      9.183040234164178,
      9.048807352744026,
      8.915957084817265,
      8.784963305713335,
      8.656259549548944,
      8.530232017102973,
      8.407214572404964,
      8.28748576358995,
      8.171267771062872,
      8.058727081227612,
      7.949976335854363,
      7.845076756548568,
      7.744043034731625,
      7.646848222510572,
      7.5534281186788474,
      7.463685097166576,
      7.377492731808489,
      7.294697903878479,
      7.215126798088358,
      7.138591165482967,
      7.064891589590635,
      6.993820674688578,
      6.9251666856647445,
      6.858714106862525,
      6.7942450193143555,
      6.7315407001725145,
      6.6703817516035215,
      6.610548356984134,
      6.551820971499843,
      6.4939807121054285,
      6.436809099426339,
      6.380088043596155,
      6.323599811533273,
      6.267126937661013,
      6.2104521034784685,
      6.153358163595508,
      6.095629133663539,
      6.03705013318219,
      5.977406828368866,
      5.916486390502597,
      5.854077392952602,
      5.789969641368669,
      5.723954709843898,
      5.655826547306917,
      5.585380328679286,
      5.5124112692570115,
      5.43671986649537,
      5.3581134463017825,
      5.276404331675315,
      5.191414658725025,
      5.102983247319495,
      5.0109691312365605,
      4.915254860629275,
      4.815751323140158,
      4.712403127599692,
      4.605193596940429,
      4.49414980049305,
      4.379348250475939,
      4.260919048284226,
      4.139047227328566,
      4.013974590966151,
      3.8859998426016276,
      3.755476185274001,
      3.622807589858835,
      3.4884432063551714,
      3.35287010529808,
      3.2166035859843873,
      3.0801759594205116,
      2.944125778738506,
      2.808985864328574,
      2.6752708558149325,
      2.5434668672151095,
      2.4140220162442034,
      2.2873381057335487,
      2.163765488951411,
      2.043599954929878,
      1.9270812057029905,
      1.8143934063464313,
      1.7056667431942063,
      1.6009811500517659,
      1.5003704900000778,
      1.4038264944100576,
      1.311303936753288,
      1.2227254575135251,
      1.1379863119299212,
      1.0569590578921786,
      0.9794978149648668,
      0.9054420882546365,
      0.8346203875789746,
      0.7668531826559537,
      0.701955134765456,
      0.6397371657389347,
      0.5800081591321482,
      0.5225764062788794,
      0.46725087522760034,
      0.4138418307638695,
      0.3621609615122568,
      0.31202194061384714,
      0.26324081401197585,
      0.21563589720958276,
      0.16902798688560175,
      0.12324036240430788,
      0.0780986099229306,
      0.03343030061297739,
      -0.010935322055126782,
      -0.05516762934999661,
      -0.0994348647451517,
      -0.14390442646952492,
      -0.18874315785230383,
      -0.23411761512533963,
      -0.2801943021894467,
      -0.3271398599834574,
      -0.37512119425231905,
      -0.42430541923382836,
      -0.4748596958278049,
      -0.5269513694257195,
      -0.580747998673563,
      -0.6364168045633889,
      -0.6941239342957646,
      -0.754033154440183,
      -0.816305226049391,
      -0.881096911795473,
      -0.9485594638573408,
      -1.0188367271955208,
      -1.0920630228361268,
      -1.1683607097493893,
      -1.2478374248064983,
      -1.3305830144054636,
      -1.4166661892731653,
      -1.5061309563054728,
      -1.5989929074335567,
      -1.6952354745183507,
      -1.794806289762172,
      -1.897613820399592,
      -2.0035244717325438,
      -2.1123603695334405,
      -2.2238980377876163,
      -2.337868175957882,
      -2.4539567089323024,
      -2.571807231525072,
      -2.691024897847404,
      -2.8111817197041447,
      -2.931823143034556,
      -3.052475677334254,
      -3.1726552708463545,
      -3.2918761031085353,
      -3.409659441413445,
      -3.525541839577789,
      -3.639082622260944,
      -3.7498702806572477,
      -3.857527154321998,
      -3.9617129501420476,
      -4.062127542738919,
      -4.1585121301582815,
      -4.2506494529059875,
      -4.338361754968493,
      -4.421507854659409,
      -4.499980491762514,
      -4.5737031441666,
      -4.642626244438655,
      -4.706722944358934,
      -4.7659854583318095,
      -4.820423364098163,
      -4.870059467798362,
      -4.9149257828640875,
      -4.955061256527325,
      -4.990509159718837,
      -5.021313079692983,
      -5.047514970237155,
      -5.069155179105047,
      -5.086273182752296,
      -5.098905599890468,
      -5.1070844159837465,
      -5.110835986530459,
      -5.110179505017136,
      -5.10512636419032,
      -5.095681091141176,
      -5.081841784228206,
      -5.0636012578699,
      -5.040947731367697,
      -5.013865057803199,
      -4.982335138593869,
      -4.946340532835923,
      -4.905862802011074,
      -4.860886359750474,
      -4.811405622494408,
      -4.757427499143564,
      -4.698969775780543,
      -4.636062342196581,
      -4.568753195683307,
      -4.497111416300209,
      -4.421227672532176,
      -4.341219972548341,
      -4.257234796340033,
      -4.169448673122199,
      -4.0780690416471,
      -3.9833307449092032,
      -3.8855010551401032,
      -3.7848846395052735,
      -3.6818235112759434,
      -3.576690579593572,
      -3.4698869423670544,
      -3.3618345590703775,
      -3.2529776024115473,
      -3.1437712866037923,
      -3.0346699843000784,
      -2.926123187597664,
      -2.818567811345742,
      -2.7124224577416913,
      -2.6080827279219134,
      -2.5059162414718847,
      -2.4062585280386797,
      -2.309410441365092,
      -2.2156365291644686,
      -2.125164375679587,
      -2.0381849151440705,
      -1.9548535900192376,
      -1.8752922059611203,
      -1.799591326121199,
      -1.7278126304346577,
      -1.6599925360895276,
      -1.59614508380655,
      -1.5362645200869947,
      -1.4803299584811742,
      -1.4283100633006676,
      -1.3801644210762063,
      -1.335845324083689,
      -1.295299707003286,
      -1.2584720327154035,
      -1.2253068877681863,
      -1.1957483503979984,
      -1.1697390941872121,
      -1.1472262902838843,
      -1.1281608999901085,
      -1.1124990505569206,
      -1.1002034506135234,
      -1.0912422085632398,
      -1.0855907011754689,
      -1.0832327030235416,
      -1.084160479740578,
      -1.0883707719190334,
      -1.0958635667929346,
      -1.1066434260171434,
      -1.1207193076632254,
      -1.138104807390107,
      -1.1588176690360603,
      -1.1828774823776063,
      -1.210304787163939,
      -1.241121899821974,
      -1.275352561210157,
      -1.3130206834432634,
      -1.3541487642548429,
      -1.39875667375122,
      -1.4468600379702499,
      -1.4984679715834965,
      -1.5535811414106155,
      -1.6121902573854345,
      -1.6742736074755116,
      -1.739794269843183,
      -1.808697811754345,
      -1.8809100785683617,
      -1.9563346964894257,
      -2.0348509484999115,
      -2.1163119819527156,
      -2.2005433985720098,
      -2.287342330453213,
      -2.3764771001469125,
      -2.467687550327084,
      -2.560686107573102,
      -2.65515963949943,
      -2.7507721055760768,
      -2.847167850797124,
      -2.943975579339897,
      -3.0408128709487205,
      -3.137291073385228,
      -3.2330203922050074,
      -3.327614986016273,
      -3.420697594908649,
      -3.5119040280974883,
      -3.6008875872236974,
      -3.687322576176415,
      -3.7709067032500596,
      -3.8513630133851082,
      -3.928440742017842,
      -4.001915761183923,
      -4.071590636068348,
      -4.137293853253756,
      -4.198878466943328,
      -4.25622072087953,
      -4.309218961901754,
      -4.3577911681735335,
      -4.401872317253657,
      -4.441412278860686,
      -4.4763741364426375,
      -4.506732463880473,
      -4.532469795621512,
      -4.553574877182761,
      -4.570043518517399,
      -4.5818793166734055,
      -4.589090395315174,
      -4.591688168400699,
      -4.589684855818459,
      -4.5830935498617045,
      -4.571929597955579,
      -4.556211644743294,
      -4.535962179419693,
      -4.5112077324316,
      -4.481980590965727,
      -4.448320488698792,
      -4.410275908039249,
      -4.367907016342846,
      -4.321292131579954,
      -4.270526613584867,
      -4.215721189237391,
      -4.157004238532046,
      -4.094525707014768,
      -4.028456009519452,
      -3.9589864154555015,
      -3.886331520493039,
      -3.8107292540914757,
      -3.7324396035348433,
      -3.651743988975256,
      -3.568940140342937,
      -3.4843416074388447,
      -3.3982782076675297,
      -3.3110938118340227,
      -3.223145730700289,
      -3.134797455155245,
      -3.0464142640672893,
      -2.958360002167171,
      -2.8709916551783032,
      -2.784655105062054,
      -2.6996809874262464,
      -2.6163818819427793,
      -2.535050169016356,
      -2.455955440651932,
      -2.379343369421307,
      -2.305435185301905,
      -2.234427259108468,
      -2.1664906694514725,
      -2.1017726495849556,
      -2.040397818109515,
      -1.9824694704082453,
      -1.928072020248679,
      -1.877271945969048,
      -1.8301219056359757,
      -1.786661213594404,
      -1.7469160510952306,
      -1.7108995763616468,
      -1.67861871915662,
      -1.6500756683378335,
      -1.6252645090804119,
      -1.6041754861703192,
      -1.5868010726441504,
      -1.5731339577792665,
      -1.563165480592698,
      -1.5568878795284307,
      -1.5542944165756418,
      -1.5553786167033272,
      -1.560132985518721,
      -1.5685480602603081,
      -1.5806133900319181,
      -1.5963169951100156,
      -1.6156447187163987,
      -1.6385787001627474,
      -1.665097432640854,
      -1.6951759318200297,
      -1.7287848875901837,
      -1.7658888508964916,
      -1.8064447094001301,
      -1.8504008208854317,
      -1.897695877298844,
      -1.9482567620651021,
      -2.0019970098228494,
      -2.058815651562212,
      -2.1185963427613514,
      -2.181205751252913,
      -2.2464922804439484,
      -2.3142853039430027,
      -2.3843947171642195,
      -2.4566108515009444,
      -2.530704794128841,
      -2.6064291449222368,
      -2.683519226708111,
      -2.7616947472557447,
      -2.8406618917413535,
      -2.92011573859239,
      -2.999742945805941,
      -3.079224923022639,
      -3.1582410782859736,
      -3.2364720871685275,
      -3.313603113618794,
      -3.389326854141849,
      -3.463346347644319,
      -3.5353773020580586,
      -3.605149983107059,
      -3.672411147143951,
      -3.736925545654483,
      -3.79847671580399,
      -3.856867516983476,
      -3.911920940042427,
      -3.9634796436477964,
      -4.01140466858706,
      -4.055574725841131,
      -4.095885291800928,
      -4.132247519972862,
      -4.164587265303025,
      -4.192844356353702,
      -4.2169706403695875,
      -4.236927931106377,
      -4.252687996446896,
      -4.264234208139962,
      -4.271560363362566,
      -4.274668049192671,
      -4.273564118784633,
      -4.268261177312501,
      -4.2587790319737255,
      -4.2451453484352,
      -4.227395992872176,
      -4.205575050705952,
      -4.179735641321475,
      -4.149940314023484,
      -4.116263607778759,
      -4.078793057047362,
      -4.037632224200226,
      -3.9929036697989626,
      -3.944745921301256,
      -3.8933126499493222,
      -3.8387743592517927,
      -3.7813198700475072,
      -3.721154377109911,
      -3.6584988511291527,
      -3.5935888760500685,
      -3.526676104654973,
      -3.4580262105330077,
      -3.3879163813075954,
      -3.3166337811686915,
      -3.2444728093534945,
      -3.1717304818963616,
      -3.098705385084709,
      -3.025696256498057,
      -2.9529992572883925,
      -2.880905290774925,
      -2.8096974456806394
    ],
    [
      12.56559877967722,
      12.563291327817844,
      12.559455906615424,
      12.554094332198881,
      12.547202658525023,
      12.538771225477651,
      12.52878468673074,
      12.517222018564368,
      12.504056083567107,
      12.489253012024138,
      12.472772961954812,
      12.454570252342721,
      12.43459329393612,
      12.412784380343828,
      12.389079484638826,
      12.363408400150432,
      12.335694540057919,
      12.305854146714472,
      12.273796782709782,
      12.239425711663012,
      12.20263796205619,
      12.163324457406777,
      12.12137023131343,
      12.076654728875857,
      12.02905208816794,
      11.978431798237187,
      11.92465923448569,
      11.867595381410998,
      11.807099210649564,
      11.743029738164179,
      11.67524736918924,
      11.603617188908617,
      11.528011854936024,
      11.448309382197385,
      11.364395228325327,
      11.276170858837952,
      11.183562645250092,
      11.086527877198288,
      10.985058228183176,
      10.879182783240068,
      10.768974217284907,
      10.654554935141753,
      10.53609544293346,
      10.413820727006177,
      10.288006602612324,
      10.158979391812467,
      10.027119254001308,
      9.892857209039557,
      9.756666255282191,
      9.61905233877588,
      9.480547555460522,
      9.34170048117735,
      9.203064169323955,
      9.065183518043643,
      8.928582717490789,
      8.79375402328127,
      8.66114806013562,
      8.531166031062103,
      8.404154058091668,
      8.280399715361318,
      8.160130666380855,
      8.04351543753213,
      7.930665574801825,
      7.821638797310232,
      7.716442798504505,
      7.615038997568416,
      7.517348903687359,
      7.423258672836611,
      7.332624128218488,
      7.245276417209364,
      7.161024394519047,
      7.079657449257948,
      7.000951422439531,
      6.924672680421816,
      6.8505808829945565,
      6.778431412904445,
      6.70797645980887,
      6.638966227432447,
      6.571149981355319,
      6.504276553790149,
      6.438094836764407,
      6.3723541143003,
      6.306804361738383,
      6.241196358782253,
      6.175281894504657,
      6.108814701127428,
      6.041550633191936,
      5.973247106599888,
      5.903663185194574,
      5.832559728103378,
      5.7596980612148725,
      5.684839983810612,
      5.607750963739306,
      5.528202787742683,
      5.445974132525005,
      5.360851808794272,
      5.272633623972082,
      5.181134018369624,
      5.086186943473205,
      4.9876491151596145,
      4.885405148766266,
      4.779373806542955,
      4.669512244476837,
      4.555821477170316,
      4.438354692678575,
      4.317220761825901,
      4.192585724350122,
      4.064674255922938,
      3.9337711575256105,
      3.8002211908496863,
      3.6644262673535564,
      3.5268383283834006,
      3.387950742600761,
      3.248288382807336,
      3.108396449826624,
      2.9688298704609615,
      2.8301408594518045,
      2.6928644352131585,
      2.5575071537159157,
      2.4245364928071096,
      2.2943716994321193,
      2.1673777350900463,
      2.0438624916808683,
      1.9240761005586673,
      1.8082098922594623,
      1.6963978228383514,
      1.5887198760198311,
      1.4852064403458798,
      1.385843029196559,
      1.2905754292060558,
      1.1993155038468108,
      1.1119464838722268,
      1.0283278690093685,
      0.9482999488491922,
      0.8716878787508767,
      0.7983056963496739,
      0.7279594885233996,
      0.6604494124656006,
      0.5955718394787424,
      0.5331210676057269,
      0.47289051851573716,
      0.41467405534367324,
      0.3582668983667341,
      0.30346607745488713,
      0.25007073509700073,
      0.19788207262070784,
      0.14670365098658306,
      0.09634154742282114,
      0.04660424217056766,
      -0.002697556544980488,
      -0.05175113564164987,
      -0.10074200949249938,
      -0.14985415697014048,
      -0.19927025467020715,
      -0.24917182994698486,
      -0.29973898609645594,
      -0.35115067406755607,
      -0.40358508321340414,
      -0.4572197274454468,
      -0.5122312236008303,
      -0.5687949959755542,
      -0.6270845956704842,
      -0.687270720669331,
      -0.7495208785147928,
      -0.8139984126525831,
      -0.8808612241553722,
      -0.9502603054246074,
      -1.0223380433222027,
      -1.0972260957590694,
      -1.175042762393341,
      -1.2558902117693018,
      -1.3398514515083275,
      -1.4269870541510483,
      -1.5173316994765402,
      -1.6108906195630421,
      -1.7076360604708234,
      -1.8075039029637194,
      -1.9103906104213768,
      -2.016150693143359,
      -2.1245948899241083,
      -2.235489267213494,
      -2.3485554188102444,
      -2.463471913742305,
      -2.579877085468779,
      -2.697373184397494,
      -2.815531831478653,
      -2.933900622550098,
      -3.052010648307828,
      -3.169384622421533,
      -3.285545262788634,
      -3.400023592434367,
      -3.512366735637104,
      -3.6221445132450665,
      -3.728955309593397,
      -3.8324302992959263,
      -3.932236846897502,
      -4.0280808094796745,
      -4.119707596613866,
      -4.206901563623475,
      -4.289484035920906,
      -4.36731151302702,
      -4.440272747855507,
      -4.508285044391774,
      -4.571290559074422,
      -4.629254498471734,
      -4.682161308556354,
      -4.7300102189152815,
      -4.772812039297583,
      -4.810586325084839,
      -4.84335751525243,
      -4.871153131986494,
      -4.894002601997604,
      -4.911935757637034,
      -4.924980968208232,
      -4.933164415372996,
      -4.936512354057426,
      -4.9350472962068,
      -4.928784577237115,
      -4.917736429061717,
      -4.901913116440946,
      -4.8813227979688145,
      -4.855972517054447,
      -4.825869301475753,
      -4.791021919179265,
      -4.751441174755435,
      -4.707142567728897,
      -4.658154617501026,
      -4.604523254828368,
      -4.546309108429035,
      -4.483588221818731,
      -4.4164575677184965,
      -4.345035114411649,
      -4.269461735680427,
      -4.189908564918101,
      -4.106575781159536,
      -4.019690536909384,
      -3.929509783806413,
      -3.8363147814325353,
      -3.7404132856077457,
      -3.642148909337794,
      -3.5418944280207536,
      -3.440042911254345,
      -3.3370086095765528,
      -3.233221888826819,
      -3.129124449577095,
      -3.0251605858663684,
      -2.9217672054528547,
      -2.81936658440713,
      -2.7183628115215748,
      -2.619136136119342,
      -2.522038834406787,
      -2.4273921862811823,
      -2.3354847814447615,
      -2.246571441903579,
      -2.160872735858504,
      -2.078574882898505,
      -1.9998306414661358,
      -1.9247615594073446,
      -1.8534610249173329,
      -1.7859960029908946,
      -1.7224095437190896,
      -1.66272466669644,
      -1.6069479821228894,
      -1.5550713755526888,
      -1.5070754095278505,
      -1.4629335593242745,
      -1.422610714865364,
      -1.3860678593668914,
      -1.3532612538826638,
      -1.324144637101735,
      -1.2986741629184708,
      -1.2768033215343195,
      -1.2584892045120413,
      -1.243696898254194,
      -1.232395327695186,
      -1.224556796561199,
      -1.220161071308681,
      -1.2191958102610534,
      -1.2216520287844614,
      -1.2275225908818328,
      -1.2368028635823625,
      -1.2494904533325002,
      -1.2655856666433445,
      -1.2850915939908865,
      -1.3080124979154018,
      -1.3343524098337571,
      -1.3641161173387815,
      -1.3973077722032161,
      -1.4339295519378688,
      -1.4739805682838092,
      -1.5174553042247028,
      -1.5643421662488235,
      -1.614622065706233,
      -1.668266641044836,
      -1.7252360400079805,
      -1.7854769047244679,
      -1.8489208443823195,
      -1.915482024792191,
      -1.9850551611037175,
      -2.0575138300652123,
      -2.132709068338165,
      -2.2104684140680906,
      -2.290595198313893,
      -2.372868164161032,
      -2.457041642169158,
      -2.542846467342756,
      -2.629991488300865,
      -2.7181656879337166,
      -2.8070409047449667,
      -2.8962750830212123,
      -2.985515962447985,
      -3.074405091377562,
      -3.1625819123101855,
      -3.24968795167208,
      -3.3353710044484823,
      -3.419288940573588,
      -3.5011131441084475,
      -3.5805318147043144,
      -3.6572525430294456,
      -3.7310041446996127,
      -3.8015379998309933,
      -3.8686287017789396,
      -3.932074295141887,
      -3.9916966859131544,
      -4.047340769376723,
      -4.098872584945688,
      -4.14617888628353,
      -4.189165377764741,
      -4.227755320025031,
      -4.261887667999863,
      -4.2915146736900365,
      -4.316599330669739,
      -4.337115254128276,
      -4.353045927968664,
      -4.364383644567007,
      -4.371128328130337,
      -4.373288173424304,
      -4.3708766599107065,
      -4.363912699385281,
      -4.352422545955022,
      -4.336440143425187,
      -4.316007321297468,
      -4.291174521289388,
      -4.262000684458624,
      -4.228553892724637,
      -4.19091473304915,
      -4.149178453373312,
      -4.103460927821058,
      -4.0538977462098,
      -4.00064041033562,
      -3.943859307766655,
      -3.8837445549185277,
      -3.8205042235633897,
      -3.7543645132412893,
      -3.68557048138376,
      -3.614387659214497,
      -3.5410969112272097,
      -3.4659931377399897,
      -3.3893846784105612,
      -3.311588664049202,
      -3.232926577334506,
      -3.1537243981922787,
      -3.0743103458128376,
      -2.995012781404881,
      -2.9161577340478853,
      -2.838063374656377,
      -2.7610364878244904,
      -2.6853694859433785,
      -2.61133859202137,
      -2.5392021159586307,
      -2.4691989619317227,
      -2.4015476576992505,
      -2.3364453998514563,
      -2.2740678160305032,
      -2.2145696996064546,
      -2.158087497288842,
      -2.1047399085109646,
      -2.054627635544167,
      -2.007832991893479,
      -1.96441970983174,
      -1.9244388047039687,
      -1.8879321812528027,
      -1.854930741134283,
      -1.8254532913144625,
      -1.7995104199637852,
      -1.777108550020871,
      -1.7582537016051158,
      -1.7429485976962846,
      -1.7311921996660329,
      -1.7229824023063804,
      -1.7183166877685012,
      -1.7171892984916728,
      -1.719590031685085,
      -1.725504824116743,
      -1.734915905412435,
      -1.747802629993168,
      -1.7641411099370992,
      -1.7839027308573265,
      -1.8070525266527813,
      -1.8335504638458828,
      -1.8633507242477103,
      -1.8964007068771969,
      -1.9326400893919697,
      -1.971999773417612,
      -2.014400795602863,
      -2.0597532774080047,
      -2.1079553236874164,
      -2.158892473338355,
      -2.212437034595348,
      -2.2684468832953013,
      -2.3267648687886116,
      -2.387218491292647,
      -2.4496200846371186,
      -2.5137669224689185,
      -2.5794415373032,
      -2.646412553955856,
      -2.7144358450299078,
      -2.7832559986766547,
      -2.8526080760068653,
      -2.922219622739283,
      -2.9918128877022574,
      -3.0611071912200134,
      -3.1298213659299923,
      -3.1976761008367998,
      -3.2643963678369587,
      -3.329713623689123,
      -3.393367935204233,
      -3.4551101633768653,
      -3.5147039261294655,
      -3.5719269080774287,
      -3.626571931429835,
      -3.6784473997938036,
      -3.7273773120078713,
      -3.7732018817907633,
      -3.815778266008596,
      -3.8549801378565824,
      -3.8906968306654965,
      -3.922832734441471,
      -3.9513066842566205,
      -3.976050571867047,
      -3.9970081808437152,
      -4.014135604270992,
      -4.027400809660387,
      -4.0367830536110265,
      -4.042272368722438,
      -4.04386865947664,
      -4.041581223749742,
      -4.03542923251258,
      -4.025442093855205,
      -4.011659872817153,
      -3.994133341417881,
      -3.972924212148525,
      -3.9481052014968787,
      -3.9197587047189053,
      -3.8879786186343597,
      -3.8528735613408682,
      -3.8145666633429887,
      -3.7731983504824416,
      -3.728926208313821,
      -3.681921244555213,
      -3.6323677331688184,
      -3.580464438673311,
      -3.5264228789743575,
      -3.470465613369109,
      -3.4128252744456375,
      -3.3537433567702193,
      -3.293468791102833,
      -3.2322561683645623,
      -3.170364624095799,
      -3.1080569064111825,
      -3.045595373998105,
      -2.983239144634795,
      -2.9212431847886577,
      -2.8598569169687895,
      -2.7993219909714924,
      -2.739870513500118,
      -2.6817236069717065,
      -2.625090169693585,
      -2.5701659361109863,
      -2.5171327582500376,
      -2.466158583584522,
      -2.4173965527252053,
      -2.370986151222002,
      -2.327054921842687,
      -2.2857153767920217,
      -2.247065384616275,
      -2.211189840714391,
      -2.178161337166171,
      -2.148040878215918,
      -2.120880184790365,
      -2.096724049617697,
      -2.0756115489846194,
      -2.0575753510315735,
      -2.0426410202078453,
      -2.030828505749019,
      -2.022151469474368,
      -2.0166169627516526,
      -2.014225846519527,
      -2.014973439963003,
      -2.018848180526555
    ],
    [
      12.56497590917473,
      12.560815594109144,
      12.5539173836076,
      12.544298565320664,
      12.531965976277524,
      12.516915933724027,
      12.499134834877792,
      12.478599353139892,
      12.45527641929414,
      12.429123302435613,
      12.40008726729293,
      12.368103704432405,
      12.333096919755512,
      12.294981345868884,
      12.253662581912236,
      12.209037407014485,
      12.160994587618557,
      12.109415615099708,
      12.05417546038853,
      11.995143740696257,
      11.93218620652842,
      11.865166307251306,
      11.793947479903272,
      11.71839781872075,
      11.638393110712475,
      11.553818399253142,
      11.46457067571338,
      11.370554130339237,
      11.271688131363371,
      11.167921361977973,
      11.059238278357007,
      10.945666165502354,
      10.827284337963604,
      10.70422555682378,
      10.576681590052743,
      10.444897591206411,
      10.309170053960887,
      10.169859661628372,
      10.027389950267294,
      9.882241053430652,
      9.734941786166782,
      9.586059185980579,
      9.43618773574058,
      9.285937307659239,
      9.135917404055585,
      8.986721237583145,
      8.838910904115929,
      8.693004059528205,
      8.549462657651029,
      8.408684560713759,
      8.270997958227738,
      8.1366584346893,
      8.005848618182327,
      7.878680057855944,
      7.755196890125698,
      7.635380723615624,
      7.519156502736561,
      7.406399188602145,
      7.29694018207143,
      7.1905732583298825,
      7.087060336480858,
      6.986135879153165,
      6.887512217997923,
      6.790884763697301,
      6.695935752618303,
      6.6023374496399505,
      6.509754880943635,
      6.417848187679088,
      6.326274596024184,
      6.234689955540361,
      6.1427500850289745,
      6.050111486438267,
      5.956434530511595,
      5.861385728651033,
      5.764638647681853,
      5.665872979505892,
      5.564780757853247,
      5.461073693514172,
      5.354485584371571,
      5.244775867739857,
      5.131732313790645,
      5.0151747869497045,
      4.8949594646800785,
      4.770989106198197,
      4.643224938616714,
      4.511687573339985,
      4.376460264163336,
      4.237698104365781,
      4.095631632543341,
      3.950566057455691,
      3.8028794636940417,
      3.6530172298669834,
      3.501483823960077,
      3.3488325086942936,
      3.1956528804022177,
      3.042556091587673,
      2.8901582413514983,
      2.739062641840767,
      2.589844779974077,
      2.443038075637836,
      2.2991207169395085,
      2.1585067201708825,
      2.021540280038307,
      1.8884930425896318,
      1.7595640167966262,
      1.6348813875523724,
      1.5145069306466978,
      1.398441812108135,
      1.2866328584692113,
      1.1789793014538705,
      1.0753400007545373,
      0.9755398695345788,
      0.8793755604351903,
      0.7866211668868027,
      0.6970328984395933,
      0.610353558944617,
      0.526316305764449,
      0.4446473288856866,
      0.36506816605407394,
      0.2872976421594482,
      0.21105331136995198,
      0.13605288284439526,
      0.062015283670751,
      -0.011338572781837364,
      -0.08428504374040872,
      -0.15709658679371574,
      -0.23004169650463122,
      -0.3033846279212824,
      -0.3773840978535349,
      -0.4522929863012993,
      -0.5283579365065308,
      -0.6058183161862641,
      -0.6849049907391598,
      -0.76583879848031,
      -0.8488287213243785,
      -0.9340697244596989,
      -1.0217402752478264,
      -1.1119997370332944,
      -1.2049851024871,
      -1.300807299598893,
      -1.3995474426939551,
      -1.5012529316462788,
      -1.6059335244465534,
      -1.7135575439505684,
      -1.824048412489094,
      -1.9372817363221702,
      -2.0530831787937522,
      -2.1712273640011475,
      -2.2914380345657386,
      -2.4133896472133785,
      -2.5367105252626327,
      -2.660987600647368,
      -2.785772676213789,
      -2.9105900303133523,
      -3.0349450803728204,
      -3.1583337358505674,
      -3.280252012008377,
      -3.400205196324617,
      -3.517716502186328,
      -3.6323350703566137,
      -3.7436426130885394,
      -3.8512584430767136,
      -3.9548431940591926,
      -4.054100772071816,
      -4.1487774890468945,
      -4.238661247719222,
      -4.3235808299867,
      -4.403403473788693,
      -4.478030941126106,
      -4.547394547567367,
      -4.611452342134032,
      -4.670185290156174,
      -4.723592550308646,
      -4.771687664684116,
      -4.814493885040151,
      -4.852041019405906,
      -4.884364127045415,
      -4.911501238488848,
      -4.933491471727427,
      -4.950373428182022,
      -4.962182603133476,
      -4.968949040920084,
      -4.970695631065523,
      -4.967441908540283,
      -4.959206941902037,
      -4.946006592231733,
      -4.927853568335321,
      -4.904758706854095,
      -4.87673279225853,
      -4.843784576615917,
      -4.805923801830031,
      -4.763166258786372,
      -4.715534283498103,
      -4.663065326870588,
      -4.605817514911185,
      -4.543867425032843,
      -4.47731162330323,
      -4.406267278079806,
      -4.330874007739599,
      -4.251302087200772,
      -4.1677590861039535,
      -4.080475070267561,
      -3.989708707063351,
      -3.8957466019196496,
      -3.798908300828561,
      -3.6995500380670983,
      -3.5980522584806005,
      -3.4948221885600024,
      -3.3903026051560343,
      -3.284953395693137,
      -3.179236845946377,
      -3.0736161731982463,
      -2.968548819132469,
      -2.8644782232147024,
      -2.7618275624312227,
      -2.6609951192880086,
      -2.5623492491813478,
      -2.4662249779674354,
      -2.3729224261836626,
      -2.2827051196317676,
      -2.1957988516931244,
      -2.112392532167466,
      -2.0326399267038364,
      -1.95666148095878,
      -1.8845466505389312,
      -1.816357146657736,
      -1.7521301410716288,
      -1.691881670753252,
      -1.635607265918319,
      -1.5832852747458321,
      -1.5348846589682952,
      -1.4903692665147998,
      -1.4496973558836737,
      -1.4128195594753157,
      -1.379684932255168,
      -1.3502419109720416,
      -1.3244408854085796,
      -1.3022299526829801,
      -1.2835616725779695,
      -1.2683971891675125,
      -1.256701992374058,
      -1.2484445979924321,
      -1.2436021945467755,
      -1.2421588817943796,
      -1.2441023628875187,
      -1.2494214458146116,
      -1.2581053315659125,
      -1.2701459081402648,
      -1.2855381437182634,
      -1.3042799242249048,
      -1.3263710420437385,
      -1.351811602418918,
      -1.3806005225456228,
      -1.4127351587679018,
      -1.448210870287202,
      -1.4870197868665007,
      -1.529149478784963,
      -1.5745815369879756,
      -1.6232899571592785,
      -1.6752394292977804,
      -1.7303834899337036,
      -1.788662839049269,
      -1.8500036713217953,
      -1.9143157660107804,
      -1.9814911590100708,
      -2.051402413151737,
      -2.123901080328564,
      -2.198816715151925,
      -2.2759562574643732,
      -2.3551038481951925,
      -2.4360211387091217,
      -2.5184481950126543,
      -2.602104855209048,
      -2.686692594485475,
      -2.7718969880296833,
      -2.857390647772356,
      -2.9428365559801017,
      -3.0278916960487803,
      -3.1122108639440027,
      -3.19545045989501,
      -3.2772720633222403,
      -3.357346229491257,
      -3.435355412460323,
      -3.5109969479722043,
      -3.5839858060198466,
      -3.6540567660798446,
      -3.720966150299428,
      -3.784492714394973,
      -3.8444369712641495,
      -3.9006213405941352,
      -3.9528898327315045,
      -4.001107238726082,
      -4.045158099534332,
      -4.084945507126014,
      -4.120389663327009,
      -4.151425461733821,
      -4.178001279495297,
      -4.200078674782714,
      -4.217631780956933,
      -4.230645347130868,
      -4.239113075577745,
      -4.243035509469204,
      -4.242419729182841,
      -4.237283346031631,
      -4.227656152648546,
      -4.213577591124678,
      -4.19509714317454,
      -4.172275734127012,
      -4.145182682192392,
      -4.113896572683476,
      -4.078510305576378,
      -4.039132798125294,
      -3.9958895582316147,
      -3.9489280092775734,
      -3.8984168027562514,
      -3.8445424926537988,
      -3.787510270336989,
      -3.727541800005872,
      -3.6648746254101985,
      -3.599761817703719,
      -3.532473789458658,
      -3.463300691373288,
      -3.3925401005736835,
      -3.3204956444305007,
      -3.247478219078156,
      -3.173803234415949,
      -3.099786247001154,
      -3.0257391067244104,
      -2.951970062590144,
      -2.878782981097482,
      -2.80647215039967,
      -2.735319412445856,
      -2.6655920266445543,
      -2.597540875939575,
      -2.5313990131826416,
      -2.467380595340253,
      -2.4056803101110256,
      -2.346473142030434,
      -2.2899164883340775,
      -2.2361503714703272,
      -2.185294005135868,
      -2.1374465278945567,
      -2.092691989751812,
      -2.051100402549377,
      -2.0127297921984044,
      -1.9776259964360543,
      -1.9458230903751155,
      -1.917344799361694,
      -1.8922075374313936,
      -1.870425207854207,
      -1.8520091830474779,
      -1.8369652565163483,
      -1.8252959332831076,
      -1.8170014961470533,
      -1.8120810236527873,
      -1.8105287163812351,
      -1.8123324218997783,
      -1.8174753858243224,
      -1.8259357510025997,
      -1.837687872863468,
      -1.8527020202752849,
      -1.870943521952631,
      -1.8923723204429366,
      -1.9169416699516781,
      -1.944597501632328,
      -1.9752780192330603,
      -2.0089137502500924,
      -2.045426663598463,
      -2.0847293727222485,
      -2.1267243562273994,
      -2.1713032215542456,
      -2.21834604002212,
      -2.267720783071073,
      -2.3192828847105376,
      -2.37287493076775,
      -2.4283266079614694,
      -2.4854548741687954,
      -2.5440643176771007,
      -2.60394775709487,
      -2.6648870648613063,
      -2.726654217359979,
      -2.789012652637836,
      -2.8517188393823,
      -2.914523999269668,
      -2.9771759710705616,
      -3.039421148379121,
      -3.101006429792363,
      -3.161681075519797,
      -3.221198847897668,
      -3.2793201321984107,
      -3.335813774070471,
      -3.3904581069040414,
      -3.4430421981373662,
      -3.4933672973183767,
      -3.5412477670951463,
      -3.586511769446348,
      -3.6290017346541914,
      -3.668574628543511,
      -3.7051020394253276,
      -3.7384701098314745,
      -3.7685793323562966,
      -3.795343370017243,
      -3.8186884392132545,
      -3.838553946906282,
      -3.85489214147059,
      -3.867667156773609,
      -3.8768541184104843,
      -3.8824388289721568,
      -3.8844171846338784,
      -3.882794922761849,
      -3.8775897789752327,
      -3.8688332691511786,
      -3.8565685782735115,
      -3.8408506893194123,
      -3.8217471268740972,
      -3.79933548645835,
      -3.773702795749334,
      -3.744947550651906,
      -3.7131809637689805,
      -3.67852878147216,
      -3.641129935034764,
      -3.6011378532901857,
      -3.558720794404674,
      -3.514061051094453,
      -3.467351784330546,
      -3.4187970678411337,
      -3.368610139566562,
      -3.3170113189357284,
      -3.2642268144778637,
      -3.2104873593436873,
      -3.1560267186715834,
      -3.101080135763429,
      -3.0458827232602212,
      -2.9906679656191377,
      -2.9356661260628965,
      -2.881102451843588,
      -2.8271956701072747,
      -2.7741566288139143,
      -2.72218708061977,
      -2.6714786305063245,
      -2.622211813682898,
      -2.5745554235514336,
      -2.528666242077331,
      -2.484688616944125,
      -2.4427542977623204,
      -2.402982444125101,
      -2.36547977528455,
      -2.3303408635775864,
      -2.297648512668955,
      -2.2674747659385965,
      -2.2398836624447984,
      -2.214931374272769,
      -2.192667355586991,
      -2.1731346699893446,
      -2.1563693809247226,
      -2.142399906518771,
      -2.1312467382289677,
      -2.122923846018054,
      -2.117440110441402,
      -2.1147978482244074,
      -2.114992103613742,
      -2.1180111285365952,
      -2.1238358912300503,
      -2.1324403910514693,
      -2.143792109677769,
      -2.157851991169103,
      -2.1745742076188557,
      -2.1939057371002724,
      -2.2157856115718046,
      -2.240144768500702,
      -2.2669059576778547,
      -2.295983688398569,
      -2.3272842637473063,
      -2.360705561840855,
      -2.3961368741739704,
      -2.433458777005885,
      -2.47254301035999,
      -2.5132526633047156,
      -2.55544241333196,
      -2.598958823523158,
      -2.6436407616785287,
      -2.689319944993947,
      -2.735821610156963,
      -2.7829653046968894,
      -2.830565791340815,
      -2.8784340535794444,
      -2.926378386873973,
      -2.974205504116132,
      -3.0217216018354884,
      -3.0687335611384152,
      -3.115050248506389,
      -3.1604838368103367,
      -3.2048509710262123,
      -3.2479738695801124,
      -3.2896813442546056,
      -3.3298097247868883,
      -3.3682036780001163,
      -3.404716915175358,
      -3.4392127852753,
      -3.4715647551239077
    ],
    [
      12.564256601915758,
      12.557965484098288,
      12.547561425762389,
      12.533092776133286,
      12.514592566831286,
      12.4920789050011,
      12.46555544635433,
      12.435011869126917,
      12.40042431142045,
      12.361754740496135,
      12.318950825113667,
      12.271946514817724,
      12.220664150780594,
      12.165015969159247,
      12.104907331678701,
      12.040238640382155,
      11.970904896732607,
      11.896798091295164,
      11.817809585454249,
      11.733831945543544,
      11.644761138290328,
      11.550503159969667,
      11.45097926958059,
      11.34611938159712,
      11.235873793692535,
      11.120229236605587,
      10.999217999242541,
      10.872925826980637,
      10.741501841568478,
      10.605170938783234,
      10.464204112609101,
      10.318931802404107,
      10.169758323086663,
      10.017155149055219,
      9.861652827667442,
      9.703834800880076,
      9.544327654473983,
      9.383788391797559,
      9.222885086401913,
      9.06227807295399,
      8.902601347965357,
      8.744445217452117,
      8.588341172196792,
      8.434749677896896,
      8.284051386213864,
      8.136542048277555,
      7.992430735823871,
      7.851841057485749,
      7.71481486382113,
      7.581317842248353,
      7.451246400843772,
      7.324435289906407,
      7.200665494105143,
      7.079672029397031,
      6.961151382394761,
      6.8447684270868425,
      6.730162738383554,
      6.616954291417715,
      6.504748530238371,
      6.39314064917441,
      6.281719722332359,
      6.170071054347511,
      6.0577804436874345,
      5.944440478454618,
      5.82965707350402,
      5.713051567700714,
      5.594264174236392,
      5.472959028968906,
      5.348828221416361,
      5.221593957690235,
      5.091020240862271,
      4.956926844796971,
      4.819183386050332,
      4.677723378866908,
      4.532552361450821,
      4.383754674748841,
      4.231502139482187,
      4.076054211686185,
      3.9177578448631074,
      3.757043635118758,
      3.594418122832178,
      3.430455352636716,
      3.265781538422151,
      3.1010588193629114,
      2.936962580917158,
      2.7741567742978046,
      2.613275091866508,
      2.4549036797002017,
      2.2995664156510225,
      2.1477130769210344,
      1.99971197712781,
      1.8558470857967377,
      1.7163177857377836,
      1.581241875218611,
      1.4506612585781338,
      1.3245479420052542,
      1.2028114259820342,
      1.0853068128937646,
      0.9718431436444028,
      0.8621913815715803,
      0.7560921698633778,
      0.6532619502159396,
      0.5533980633360349,
      0.45618371362042937,
      0.36129205508311163,
      0.26838937849638567,
      0.17713845234736708,
      0.08720226028797477,
      -0.0017540365566866556,
      -0.0900614266803415,
      -0.1780457225343534,
      -0.26602660377276716,
      -0.35431622621887393,
      -0.44321774927062396,
      -0.5330237232101807,
      -0.6240142859497562,
      -0.7164551113119649,
      -0.8105950613914682,
      -0.906663508368134,
      -1.0048673075502563,
      -1.105387442666814,
      -1.208375419796455,
      -1.3139492627551173,
      -1.4221893501399148,
      -1.5331342669286017,
      -1.6467767968107143,
      -1.7630602669543598,
      -1.88187549052836,
      -2.0030586496051597,
      -2.1263902016170384,
      -2.2515950882330986,
      -2.378344612251099,
      -2.5062600206382886,
      -2.6349178240851967,
      -2.7638567669437712,
      -2.8925862755541143,
      -3.020596105182372,
      -3.1473662554106623,
      -3.272377068802648,
      -3.3951197625183682,
      -3.5151059899936405,
      -3.6318760571291295,
      -3.745005654784917,
      -3.8541109146568546,
      -3.958852176559534,
      -4.058935574834764,
      -4.154112554335087,
      -4.244179309696679,
      -4.3289730604489245,
      -4.408367766878861,
      -4.482271901702718,
      -4.550625266194409,
      -4.613394197234423,
      -4.670566871035888,
      -4.722148764936946,
      -4.768157325554583,
      -4.808620087989975,
      -4.843572133070194,
      -4.873053035660314,
      -4.897103790123425,
      -4.915765841295895,
      -4.9290787883138245,
      -4.937075872793909,
      -4.939785375340725,
      -4.9372323465537935,
      -4.929438916391273,
      -4.916427833146218,
      -4.898222242381006,
      -4.874843030867257,
      -4.846308342489276,
      -4.812636432830679,
      -4.773848397362608,
      -4.729975282962251,
      -4.681056818466055,
      -4.62714812355034,
      -4.568328595065591,
      -4.50470183522044,
      -4.436393520471582,
      -4.363549548981935,
      -4.286341254802088,
      -4.204979122646683,
      -4.1197086245342165,
      -4.0307942467690445,
      -3.9385301958188013,
      -3.843249147283676,
      -3.745313466557419,
      -3.645110257328003,
      -3.5430606660099615,
      -3.4396222071241787,
      -3.3352694703992602,
      -3.2304802170896516,
      -3.1257283096420654,
      -3.0214827948975445,
      -2.918199261872413,
      -2.8163128965557442,
      -2.7162313742514965,
      -2.6183314033748584,
      -2.522956216728433,
      -2.4304119030749205,
      -2.340965990246361,
      -2.2548479935258428,
      -2.172250017509403,
      -2.0933279172984767,
      -2.01820312415012,
      -1.9469649880715512,
      -1.87967350407186,
      -1.8163626338144432,
      -1.7570432083511303,
      -1.7017040330373685,
      -1.6503175661490441,
      -1.6028492009062216,
      -1.5592613094137309,
      -1.5195094071831794,
      -1.4835408423872083,
      -1.4513052175292205,
      -1.4227524341903255,
      -1.3978321667487057,
      -1.3764937090265226,
      -1.358692962919954,
      -1.3443934423916144,
      -1.333560525054601,
      -1.3261655205001501,
      -1.3221867964524672,
      -1.3216053408774961,
      -1.3244043111367807,
      -1.3305674919255277,
      -1.340079481640974,
      -1.3529266802311042,
      -1.3690969258199368,
      -1.3885791756302877,
      -1.4113624903109767,
      -1.4374350025930642,
      -1.4667827469347743,
      -1.499389452839664,
      -1.5352355053621443,
      -1.574296236518189,
      -1.6165411175539812,
      -1.661932457077355,
      -1.7104238164986914,
      -1.7619584972775089,
      -1.8164680376217452,
      -1.873870662941051,
      -1.9340698383329331,
      -1.9969528312798484,
      -2.062389460171687,
      -2.1302310479006112,
      -2.2003096734516796,
      -2.2724379898430436,
      -2.346408984806105,
      -2.4219961135517467,
      -2.498953992556184,
      -2.5770195336789246,
      -2.6559136061156243,
      -2.7353431357633107,
      -2.815003602769741,
      -2.8945819708003526,
      -2.97375973720843,
      -3.052215929773181,
      -3.1296308117371683,
      -3.2056891000601087,
      -3.280083039626528,
      -3.3525153065404023,
      -3.422701954383124,
      -3.4903742289641673,
      -3.555279449165065,
      -3.6171830988783555,
      -3.675869985381197,
      -3.7311448896841273,
      -3.782832748110307,
      -3.830778501502771,
      -3.8748466651099616,
      -3.9149206762530895,
      -3.9509013632988577,
      -3.9827052901864333,
      -4.010264231389864,
      -4.033524743473571,
      -4.052447718253376,
      -4.067006428517558,
      -4.0771856241918725,
      -4.08298076902793,
      -4.084397412744749,
      -4.08145147594138,
      -4.074169856325976,
      -4.062592557627027,
      -4.046774192903726,
      -4.026779944743746,
      -4.002686224434497,
      -3.9745818960637567,
      -3.9425683817255717,
      -3.9067630506430184,
      -3.867301436529255,
      -3.8243349570326166,
      -3.7780362112757504,
      -3.7285989219926674,
      -3.6762352531391955,
      -3.621172390449126,
      -3.5636504435035157,
      -3.5039218416620255,
      -3.44225106201377,
      -3.378912759106413,
      -3.314194436248627,
      -3.248394537370915,
      -3.1818113067453595,
      -3.1147396985967752,
      -3.047472156700849,
      -2.9802980843885014,
      -2.9135008649108127,
      -2.8473553541846357,
      -2.782125799740027,
      -2.7180639773902446,
      -2.655407587296385,
      -2.5943789396244514,
      -2.535183939121796,
      -2.4780113193134388,
      -2.423032180673593,
      -2.370399306969032,
      -2.3202483611886286,
      -2.2726978423101145,
      -2.227849980055184,
      -2.1857927178084458,
      -2.1466026915744396,
      -2.1103436589917406,
      -2.0770669499032133,
      -2.0468123766154966,
      -2.019610624835134,
      -1.9954867253341841,
      -1.9744628147458105,
      -1.9565557882672056,
      -1.941776711427779,
      -1.9301324226455978,
      -1.9216258409877285,
      -1.916256268968315,
      -1.9140174657578868,
      -1.914898499938646,
      -1.9188820083797533,
      -1.9259450324376124,
      -1.9360585042644085,
      -1.949187968642538,
      -1.965293573331665,
      -1.98432955406769,
      -2.006244025195222,
      -2.030978418052191,
      -2.058466292163276,
      -2.0886333659876097,
      -2.1213973696649226,
      -2.1566673064012503,
      -2.1943426362270326,
      -2.234313225186502,
      -2.2764588749217287,
      -2.320648987543235,
      -2.3667426076552576,
      -2.4145884075977735,
      -2.4640247759536007,
      -2.514880069449478,
      -2.5669730390085963,
      -2.620113436300745,
      -2.674102801043281,
      -2.7287354240535544,
      -2.7837994744010546,
      -2.8390782731901396,
      -2.894351547179226,
      -2.9493965006330845,
      -3.0039896695048265,
      -3.0579087061285333,
      -3.1109339712345374,
      -3.1628500877672727,
      -3.213447424790408,
      -3.2625234822828255,
      -3.3098841529897123,
      -3.355344842614593,
      -3.398731435615473,
      -3.439881100042736,
      -3.4786429304324438,
      -3.514878433693823,
      -3.548461867354961,
      -3.5792799284122037,
      -3.607230821489731,
      -3.6322252684778475,
      -3.654186912640268,
      -3.6730520325431693,
      -3.688768555809847,
      -3.701296341344402,
      -3.7106072797045146,
      -3.7166841673593285,
      -3.7195209803223728,
      -3.719123169234254,
      -3.715506863798092,
      -3.7086992214231187,
      -3.6987391673352623,
      -3.685679377027953,
      -3.669583760676916,
      -3.6505268606845074,
      -3.628594501012768,
      -3.6038836763594375,
      -3.5765016197114448,
      -3.5465663973207744,
      -3.514208412906981,
      -3.4795707282467436,
      -3.44280646362515,
      -3.404080017885915,
      -3.363566005592752,
      -3.3214493185546896,
      -3.277922499076485,
      -3.2331848012293243,
      -3.1874400514453383,
      -3.1408945636936485,
      -3.0937558976702633,
      -3.0462315803721833,
      -2.998527813413634,
      -2.9508481898997414,
      -2.9033924450289543,
      -2.856355263449036,
      -2.8099251651150476,
      -2.764283488250045,
      -2.7196034854683306,
      -2.6760495444641963,
      -2.6337765413749428,
      -2.592929314465225,
      -2.5536421487638297,
      -2.51603858735055,
      -2.4802314274218142,
      -2.4463227903665032,
      -2.414404902603631,
      -2.3845616084793644,
      -2.356868278132335,
      -2.3313922106608786,
      -2.3081944319595955,
      -2.2873290174900758,
      -2.268842410319621,
      -2.252773085946684,
      -2.2391507636872325,
      -2.227998423019096,
      -2.219333312435371,
      -2.213166417554428,
      -2.2095023534708678,
      -2.2083398834943866,
      -2.20967025329903,
      -2.213477894749619,
      -2.219740562458956,
      -2.2284282148657484,
      -2.239503573337638,
      -2.252922922277899,
      -2.2686360321194865,
      -2.286586085299128,
      -2.306709437811757,
      -2.328935592746234,
      -2.353186799658548,
      -2.379377609294955,
      -2.4074153877289306,
      -2.4372003930430206,
      -2.468625796171039,
      -2.5015777584010515,
      -2.5359354368709264,
      -2.571571079687442,
      -2.608350578474655,
      -2.646133899577378,
      -2.6847755506551914,
      -2.7241251320884317,
      -2.764027970167013,
      -2.8043258267111884,
      -2.844857668894483,
      -2.8854603923553355,
      -2.925969732742992,
      -2.9662212830349826,
      -3.0060514345806206,
      -3.045298322991689,
      -3.0838027641711023,
      -3.12140916604685,
      -3.1579664028568875,
      -3.1933286399066896,
      -3.227356098801716,
      -3.259915696013148,
      -3.2908814094086374,
      -3.320134984333013,
      -3.3475665322260877,
      -3.3730743567442762,
      -3.3965652664001635,
      -3.4179554040349633,
      -3.437170246343466,
      -3.4541442150144834,
      -3.4688213088021094,
      -3.4811553297102185,
      -3.491109901558489,
      -3.498657922792308,
      -3.5037812977871834,
      -3.5064715660157275,
      -3.506729914189725,
      -3.5045670330715186,
      -3.500002591104067,
      -3.49306526328105,
      -3.48379301780445,
      -3.47223441764548,
      -3.458447617949439,
      -3.442499279103248,
      -3.424464630938129,
      -3.404427651912379,
      -3.3824804703116964,
      -3.3587222810003317,
      -3.333259564726552,
      -3.306205895288759
    ],
    [
      12.563500757869013,
      12.554985685546857,
      12.540951263667472,
      12.521501198916676,
      12.496718024075133,
      12.466664028649804,
      12.43138214796066,
      12.390896904789937,
      12.345215931801004,
      12.294330746401839,
      12.238212775378914,
      12.176815964202545,
      12.110082916859145,
      12.03794688943558,
      11.960335355548013,
      11.87717345176508,
      11.788387609695583,
      11.693909804100079,
      11.593677170017704,
      11.487637698682306,
      11.37574663366723,
      11.257978211160985,
      11.134345187024309,
      11.004911344582878,
      10.86980386441255,
      10.729225774157387,
      10.583430108816954,
      10.432729485250164,
      10.277521264648085,
      10.118280840692215,
      9.955549622609238,
      9.78992883107746,
      9.622074682089687,
      9.452686244558015,
      9.2824830451566,
      9.112183686115532,
      8.942483979364393,
      8.774035042022224,
      8.607423218140303,
      8.443157310837304,
      8.281657689871816,
      8.123248986836721,
      7.968156970420013,
      7.816509204685932,
      7.668338877221184,
      7.523591072282031,
      7.382130746993975,
      7.243751724205753,
      7.108186121672611,
      6.9751136796196045,
      6.84417068909722,
      6.714958649022986,
      6.587052252174194,
      6.460007710461226,
      6.333371174804086,
      6.206683812617211,
      6.0794877597286145,
      5.951332429385876,
      5.8217809690936635,
      5.690416060135517,
      5.556843673812946,
      5.420700982758664,
      5.28167176597171,
      5.139489006696178,
      4.993935763929596,
      4.844854101222468,
      4.692161723455623,
      4.535856915948143,
      4.376031556703894,
      4.212876519913798,
      4.046683211458042,
      3.877843520261134,
      3.706843887546254,
      3.534259721917408,
      3.3607368888505684,
      3.1869678247258477,
      3.0136656949600473,
      2.8415415093872882,
      2.671280989861364,
      2.5035228989661054,
      2.3388418806888582,
      2.1777344337164717,
      2.02060978879223,
      1.8677846677096397,
      1.7194812603412075,
      1.5758296736185657,
      1.4368732779367794,
      1.3025761346660627,
      1.1728317604614273,
      1.0474729527605937,
      0.9262816756756306,
      0.8089976242429388,
      0.6953261892595612,
      0.5849457766331894,
      0.4775143310917731,
      0.37267630606204666,
      0.27006837827955743,
      0.16932327945798936,
      0.07007300246575053,
      -0.028048785855787864,
      -0.1254041147391532,
      -0.22234831275387307,
      -0.3192277736726232,
      -0.41637777713943724,
      -0.514120266172746,
      -0.612761494802752,
      -0.7125894736380585,
      -0.8138711560171763,
      -0.9168493274256142,
      -1.0217391839166046,
      -1.1287246137994438,
      -1.2379542885820711,
      -1.3495375250880814,
      -1.4635400461848087,
      -1.5799799260822276,
      -1.6988238691128141,
      -1.8199840654053252,
      -1.9433158917345215,
      -2.0686167306328413,
      -2.1956261650747724,
      -2.3240277626241577,
      -2.453452584957045,
      -2.583484339699031,
      -2.7136663757392587,
      -2.843510291211223,
      -2.9725054648247062,
      -3.1001290686334126,
      -3.225857175076423,
      -3.3491754257045483,
      -3.4695894163737884,
      -3.5866330329154716,
      -3.69987498456686,
      -3.808924068449874,
      -3.913432866328618,
      -4.013099777160572,
      -4.107668547372465,
      -4.196926199936425,
      -4.280701684330861,
      -4.358863336654114,
      -4.431315459371389,
      -4.497992815584356,
      -4.558856565315241,
      -4.613889070955525,
      -4.66308908873163,
      -4.706468768233063,
      -4.744051200191884,
      -4.775867824277146,
      -4.8019558091087315,
      -4.822354760259566,
      -4.837103763352014,
      -4.846239136273661,
      -4.849795049627332,
      -4.847804557543202,
      -4.8402994077964685,
      -4.8273100840016845,
      -4.808868946495566,
      -4.7850113441083915,
      -4.755773836501564,
      -4.721195442832968,
      -4.681318276547997,
      -4.636197757622183,
      -4.585904056773113,
      -4.530526436438451,
      -4.4701837681088215,
      -4.405023397167695,
      -4.335214315393283,
      -4.260948474376353,
      -4.182448725887465,
      -4.099982939969823,
      -4.013841126782303,
      -3.9243357624989086,
      -3.8318216172675337,
      -3.73667802501771,
      -3.6393067857573413,
      -3.540143771065056,
      -3.4396559876806467,
      -3.3383261456249116,
      -3.2366412681261045,
      -3.1350809622502847,
      -3.034110789788612,
      -2.9341787949879032,
      -2.8357101936231137,
      -2.73910261873948,
      -2.644722128649667,
      -2.5529000350057935,
      -2.46393023737636,
      -2.3780683792650317,
      -2.295532035155278,
      -2.2165009035488836,
      -2.141118993830819,
      -2.0694968993199403,
      -2.0017131160581325,
      -1.937813618797588,
      -1.877816376362841,
      -1.82171912605584,
      -1.769505150624442,
      -1.7211510413025757,
      -1.676627407027514,
      -1.6358954969403623,
      -1.598908650394776,
      -1.5656237410606308,
      -1.535995682725702,
      -1.5099800857261758,
      -1.487530512718208,
      -1.468603992346046,
      -1.4531645462138658,
      -1.4411772963115979,
      -1.432614984413563,
      -1.4274538388306433,
      -1.4256700735868653,
      -1.4272416800201055,
      -1.4321488409058982,
      -1.4403712495821457,
      -1.4518870595664735,
      -1.4666743149156425,
      -1.4847108491552314,
      -1.5059737873720098,
      -1.5304387986716046,
      -1.5580796229661513,
      -1.5888660714244454,
      -1.6227628200742201,
      -1.6597294962514042,
      -1.6997195937557896,
      -1.7426792493721903,
      -1.7885456154513153,
      -1.8372454815424084,
      -1.888694446407031,
      -1.9427957113706842,
      -1.9994388503522083,
      -2.058498799910573,
      -2.119835039660143,
      -2.1832909167205274,
      -2.2486932140051152,
      -2.3158520040440496,
      -2.3845608221725394,
      -2.454597185722765,
      -2.5257234752289492,
      -2.5976881810760615,
      -2.6702275047588118,
      -2.7430672894859827,
      -2.815925174955973,
      -2.888512822038069,
      -2.9605387356070425,
      -3.0317110924996005,
      -3.1017404069466874,
      -3.1703418013138873,
      -3.237237775970109,
      -3.3021608092349086,
      -3.364855471787958,
      -3.4250801914464626,
      -3.4826086420014426,
      -3.5372306347989495,
      -3.5887531193443385,
      -3.637000922084466,
      -3.681816436540356,
      -3.7230597238694427,
      -3.7606078350644023,
      -3.794354183775083,
      -3.8242091108021232,
      -3.8500993787051256,
      -3.8719665185954035,
      -3.889766104448569,
      -3.9034681158845066,
      -3.913055304607621,
      -3.9185230042914707,
      -3.9198794940100323,
      -3.9171448769987007,
      -3.9103512267898095,
      -3.8995420849757765,
      -3.884774130516458,
      -3.8661202097629843,
      -3.843666920906351,
      -3.8175136441173603,
      -3.78777139377369,
      -3.7545646184805994,
      -3.718036295685712,
      -3.6783469656880845,
      -3.6356720413947747,
      -3.5902058475782495,
      -3.542161545820807,
      -3.4917671152760192,
      -3.439260681291284,
      -3.3848889730543026,
      -3.328906669352043,
      -3.271575007262801,
      -3.213159537635423,
      -3.1539281028227295,
      -3.094151597677094,
      -3.0341025550968252,
      -2.974049836946896,
      -2.9142552661641905,
      -2.854971420607081,
      -2.796439457899095,
      -2.7388885881283183,
      -2.6825352205950375,
      -2.6275819035273766,
      -2.574216357971071,
      -2.522610089980867,
      -2.472919167575268,
      -2.4252846414191565,
      -2.3798350362836183,
      -2.336686206480859,
      -2.295939504441639,
      -2.257683044083556,
      -2.2219924073537,
      -2.1889305922851094,
      -2.1585494028271865,
      -2.1308916009137815,
      -2.105993291707652,
      -2.0838866462749825,
      -2.064598248400708,
      -2.048148459564674,
      -2.0345509772641974,
      -2.0238142892058772,
      -2.0159429956035066,
      -2.010935696066136,
      -2.008785817105676,
      -2.0094815515436233,
      -2.013005387728316,
      -2.0193324934639922,
      -2.028431116215594,
      -2.0402629687665486,
      -2.054783874679233,
      -2.07194376572283,
      -2.0916864312109658,
      -2.1139492597387255,
      -2.138662953486379,
      -2.1657511555100375,
      -2.1951295413033334,
      -2.2267054526479417,
      -2.260378268858884,
      -2.296039171796556,
      -2.333570867438258,
      -2.3728475974572327,
      -2.413735192001287,
      -2.4560911681080606,
      -2.4997649426142767,
      -2.5445981679281724,
      -2.5904251834590393,
      -2.63707350027831,
      -2.6843645947339003,
      -2.7321148582565247,
      -2.7801364048581956,
      -2.828238137630989,
      -2.876227027725944,
      -2.923909312408686,
      -2.9710916315751565,
      -3.0175821728760672,
      -3.06319187893296,
      -3.107735776865268,
      -3.151034185868809,
      -3.192913810875016,
      -3.233208748902382,
      -3.2717613960634373,
      -3.3084232459113934,
      -3.3430555749269306,
      -3.375529939528426,
      -3.405727941335483,
      -3.4335417954369043,
      -3.458874998515225,
      -3.4816418282448,
      -3.5017678302695647,
      -3.519190251766684,
      -3.5338580441170557,
      -3.545731648614826,
      -3.5547820598374686,
      -3.5609913101636668,
      -3.5643527444700727,
      -3.5648709033522867,
      -3.5625613237510723,
      -3.5574496752650053,
      -3.549571001472711,
      -3.5389709613755205,
      -3.52570608995232,
      -3.5098451543443074,
      -3.491468612145158,
      -3.470666805505372,
      -3.447539567824988,
      -3.422195135423188,
      -3.39475088683186,
      -3.3653334362101672,
      -3.334078870474826,
      -3.301132412738135,
      -3.2666475563139388,
      -3.2307841023773842,
      -3.1937080527859085,
      -3.15559002198418,
      -3.116605055651097,
      -3.076931084850334,
      -3.03674779729787,
      -2.9962348514395334,
      -2.955570092502092,
      -2.9149285473398874,
      -2.874481459326883,
      -2.834395376064921,
      -2.794831303212129,
      -2.7559439356310107,
      -2.7178809751399644,
      -2.680782541822008,
      -2.644780682724634,
      -2.6099989796466607,
      -2.57655275375168,
      -2.544549401682905,
      -2.5140879997356254,
      -2.48525983384268,
      -2.458148755427697,
      -2.4328317741877146,
      -2.4093782846199656,
      -2.3878506571390177,
      -2.3683037882030815,
      -2.3507847222697906,
      -2.3353327599779976,
      -2.321980242832906,
      -2.310753692483956,
      -2.3016737711527333,
      -2.294754728441259,
      -2.2900041997267215,
      -2.2874235210363247,
      -2.2870080089437925,
      -2.2887467846893683,
      -2.2926221450374484,
      -2.298609580866229,
      -2.3066784992845775,
      -2.3167916835892393,
      -2.3289047063737227,
      -2.342966957617425,
      -2.358921857031561,
      -2.3767068481782907,
      -2.396253397390996,
      -2.4174870311285934,
      -2.4403273625854145,
      -2.4646881199217616,
      -2.490477235231809,
      -2.5175969358610373,
      -2.5459435763844582,
      -2.5754079953773115,
      -2.605876084170795,
      -2.63722911652677,
      -2.6693441344750206,
      -2.702094380827618,
      -2.735349694615222,
      -2.768977087966171,
      -2.8028414242464206,
      -2.8368060572531966,
      -2.8707335048839875,
      -2.90448614912186,
      -2.9379269536083976,
      -2.9709201894124697,
      -3.0033321597139557,
      -3.0350319136036017,
      -3.0658919403474094,
      -3.09578883574847,
      -3.124603933178221,
      -3.1522238423454874,
      -3.178540543947156,
      -3.203451652985806,
      -3.2268611843035737,
      -3.2486802898237364,
      -3.268827605024222,
      -3.2872295426626397,
      -3.30382053689156,
      -3.318543267452411,
      -3.331348804254625,
      -3.3421963619242265,
      -3.3510529986766024,
      -3.3578942148089537,
      -3.362704088889991,
      -3.3654752586891217,
      -3.3662088744567313,
      -3.3649145269037253,
      -3.361610151302962,
      -3.3563211655373135,
      -3.3490799546339116,
      -3.3399270829495435,
      -3.3289110338542782,
      -3.3160878744109428,
      -3.3015219177133077,
      -3.2852857795752977,
      -3.267458864735654,
      -3.248126888551684,
      -3.2273814949504205,
      -3.2053193018671764,
      -3.182041900605922,
      -3.1576558358118376,
      -3.1322717407869436,
      -3.1060043018018764,
      -3.0789716947104724,
      -3.0512943892462068,
      -3.02309451440277,
      -2.9944952318069196,
      -2.965620104781271,
      -2.9365924693588856,
      -2.907534814210629,
      -2.8785681757560435,
      -2.849811555102146,
      -2.821381362622551,
      -2.7933908955063123,
      -2.765949853038395,
      -2.7391638931644926,
      -2.7131342331845114
    ],
    [
      12.562712911652785,
      12.551889665661797,
      12.534102513127202,
      12.50952457660185,
      12.478307359022004,
      12.440579049082002,
      12.39644276230124,
      12.345975911083391,
      12.289231977388724,
      12.226241848538228,
      12.157011407633913,
      12.081531071009854,
      11.999780739469417,
      11.911734500612807,
      11.817365614612703,
      11.71665233565763,
      11.609580258471306,
      11.496140222252848,
      11.376325192815182,
      11.250150987274997,
      11.117676923968693,
      10.979025367548237,
      10.834395177327645,
      10.68403371070658,
      10.528238479569918,
      10.367400249676335,
      10.20199650853217,
      10.032580357633492,
      9.859777453279362,
      9.684280265026015,
      9.506830320488262,
      9.328196903477371,
      9.149152909247915,
      8.970445723599104,
      8.792778157347973,
      8.616787738154732,
      8.443027996310171,
      8.271954117100433,
      8.103913715856145,
      7.93914387353663,
      7.777771528887012,
      7.619816976570345,
      7.465201302693633,
      7.313755945283293,
      7.165233516587333,
      7.019319193424895,
      6.875642146869266,
      6.733786654555097,
      6.5933026978141935,
      6.453715981426744,
      6.314537421551376,
      6.175272224798689,
      6.03542846641501,
      5.894521213169334,
      5.752083316463313,
      5.607687623641017,
      5.460947501642777,
      5.311515133786341,
      5.1590910115610304,
      5.003429552576085,
      4.8443574443039275,
      4.681785607196588,
      4.515720897367524,
      4.3462787934556895,
      4.173690096032446,
      3.9982980663492502,
      3.820558680361644,
      3.6410291562001156,
      3.4603502029629443,
      3.2792242318157294,
      3.098387914045023,
      2.918586594696842,
      2.7405497181896274,
      2.5649667908854936,
      2.3924660873689962,
      2.223595917405776,
      2.0588119148179564,
      1.8984694963832598,
      1.7428211463051568,
      1.5920177649655007,
      1.4461143680059991,
      1.3050782159999064,
      1.1687993403887407,
      1.0371014544090125,
      0.9097510709729055,
      0.7864674900430821,
      0.6669333819849597,
      0.5508044571537983,
      0.4377165184298621,
      0.3272919273407783,
      0.21914440240371652,
      0.11288387255525756,
      0.008120670264179994,
      -0.09553084524532535,
      -0.19844909178174075,
      -0.3010023583534018,
      -0.40354605986954223,
      -0.5064200351287144,
      -0.6099457863568729,
      -0.7144235761925826,
      -0.8201293173366809,
      -0.9273112164391268,
      -1.036186168620107,
      -1.1469359169345752,
      -1.2597030605083503,
      -1.3745869819152503,
      -1.4916397961548877,
      -1.610862582424988,
      -1.7322021000907624,
      -1.8555482358726914,
      -1.9807324225099132,
      -2.1075271994360594,
      -2.2356474757561857,
      -2.3647534612621604,
      -2.494455252252994,
      -2.6243191318908226,
      -2.7538756375682367,
      -2.882628767079695,
      -3.0100656753013446,
      -3.135667442532345,
      -3.2589195911310536,
      -3.379322122880605,
      -3.4963990069280264,
      -3.609705604579639,
      -3.7188339355836906,
      -3.823417318403166,
      -3.9231323051854665,
      -4.017699344732277,
      -4.106883314139687,
      -4.190492538777918,
      -4.268376258322302,
      -4.340420414263391,
      -4.406542793458446,
      -4.466687140051429,
      -4.520818737360457,
      -4.5689231249360045,
      -4.611002778963311,
      -4.647073705232279,
      -4.677161998724013,
      -4.701299627040153,
      -4.719522766981008,
      -4.731869519883918,
      -4.738379157984079,
      -4.739091655889941,
      -4.734047042734874,
      -4.723285927004991,
      -4.7068513108010155,
      -4.68479194483521,
      -4.6571641968078845,
      -4.624029451460334,
      -4.585453487675618,
      -4.54151213014492,
      -4.49230343503469,
      -4.43794554732573,
      -4.378589650024229,
      -4.314418419860626,
      -4.245639565844842,
      -4.1724821047343665,
      -4.095208614345501,
      -4.014127018025845,
      -3.9295633018717204,
      -3.841873679037703,
      -3.7514505719216222,
      -3.6587003433572303,
      -3.564057122664199,
      -3.4679810517261904,
      -3.370952557985708,
      -3.2734613480899624,
      -3.1759904111322776,
      -3.079007383492605,
      -2.9829580903106017,
      -2.888261348814835,
      -2.7953080703096527,
      -2.704457937239805,
      -2.616036886468953,
      -2.530334755793257,
      -2.447603855094126,
      -2.3680592950049153,
      -2.291879514314767,
      -2.2192056141778944,
      -2.1501425135061982,
      -2.084763302274334,
      -2.023111322345019,
      -1.965204140827811,
      -1.9110432871622274,
      -1.8606231376195121,
      -1.8139276606669372,
      -1.7709281765748028,
      -1.7315878246259784,
      -1.695872216592439,
      -1.6637438317583455,
      -1.6351659145352364,
      -1.6100995349784892,
      -1.5885038084821548,
      -1.5703427495795883,
      -1.5555833061296271,
      -1.5441970644662524,
      -1.5361613864109682,
      -1.5314514473060992,
      -1.5300415730620702,
      -1.5319066797770555,
      -1.5370217378311957,
      -1.5453608828961396,
      -1.556896088896931,
      -1.5715968869387529,
      -1.5894311051340781,
      -1.6103644269156907,
      -1.6343598269748543,
      -1.661377079539687,
      -1.6913719435584533,
      -1.72429486254232,
      -1.7600895266072034,
      -1.798692682049122,
      -1.8400332939528514,
      -1.884031473834803,
      -1.9305973226387076,
      -1.9796301439089126,
      -2.0310176183403623,
      -2.08463501125652,
      -2.14034445833995,
      -2.1979944706517074,
      -2.257419557874839,
      -2.318440150389357,
      -2.380863023613823,
      -2.4444817922255933,
      -2.5090776683183593,
      -2.5744205051742135,
      -2.6402700108651844,
      -2.706376935450955,
      -2.772485036485516,
      -2.838333355578178,
      -2.903658368625248,
      -2.96819621804121,
      -3.031684975752867,
      -3.0938666505064334,
      -3.154489278890543,
      -3.213309154188141,
      -3.270092601513815,
      -3.324617635075729,
      -3.3766754097445384,
      -3.4260713699429948,
      -3.4726259768083407,
      -3.5161750540383165,
      -3.556570087635058,
      -3.5936778022336546,
      -3.6273811643078044,
      -3.6575791924668004,
      -3.6841858179691593,
      -3.7071304900832547,
      -3.7263580975335078,
      -3.7418282423621436,
      -3.753513773328765,
      -3.7614014426667914,
      -3.765491987419497,
      -3.765799007150424,
      -3.762347530049566,
      -3.7551752982026882,
      -3.74433367354621,
      -3.7298869446345666,
      -3.711913091499402,
      -3.6905061403751507,
      -3.6657736623468096,
      -3.6378348477286497,
      -3.606819366050611,
      -3.572871467146053,
      -3.5361537088377895,
      -3.4968431056955884,
      -3.455129188904823,
      -3.411216394500469,
      -3.365324401138145,
      -3.3176819029179088,
      -3.268523217798587,
      -3.218087108249528,
      -3.166615570330518,
      -3.114352066741879,
      -3.0615393863035334,
      -3.0084180439313752,
      -2.9552247494138717,
      -2.9021909392176686,
      -2.849541138683937,
      -2.797491559746869,
      -2.7462488722845926,
      -2.6960091306009497,
      -2.646956871300262,
      -2.599264392221552,
      -2.5530912166294404,
      -2.5085838022541527,
      -2.465875432299216,
      -2.425085916709695,
      -2.386322331695099,
      -2.349679511179823,
      -2.3152400634177415,
      -2.2830753103033965,
      -2.253246222146311,
      -2.2258048125463907,
      -2.2007970409783972,
      -2.178264083337978,
      -2.158241076077856,
      -2.140756454776807,
      -2.1258302402422466,
      -2.113477371682807,
      -2.1037090223762567,
      -2.096529457663514,
      -2.091936496758451,
      -2.089921725638336,
      -2.0904711699427354,
      -2.0935654285883363,
      -2.099179336124393,
      -2.107281618792765,
      -2.117833862821927,
      -2.1307902383567634,
      -2.1460987805922556,
      -2.163701596152886,
      -2.1835347674004377,
      -2.205528156544716,
      -2.2296052035527945,
      -2.255682765292238,
      -2.2836709719616537,
      -2.3134731051574473,
      -2.3449853636499323,
      -2.3780964592271645,
      -2.4126879241208403,
      -2.448634606916153,
      -2.4858048674415687,
      -2.5240608570403698,
      -2.5632588885452745,
      -2.60324989813038,
      -2.6438798703488824,
      -2.6849904654557273,
      -2.7264198828437505,
      -2.7680036683778355,
      -2.809575581629476,
      -2.8509685152618083,
      -2.8920154525910164,
      -2.932550447824655,
      -2.9724095691011603,
      -3.011431729841245,
      -3.0494597599016444,
      -3.086341371260162,
      -3.1219300244527157,
      -3.156085733191807,
      -3.188675628059455,
      -3.21957389069431,
      -3.2486623575573974,
      -3.2758316730363966,
      -3.300981877538943,
      -3.3240227590806417,
      -3.3448741208261823,
      -3.3634659879188042,
      -3.379738750599989,
      -3.3936428581580085,
      -3.4051384353895577,
      -3.4141959995648934,
      -3.4207965448393622,
      -3.424931415056204,
      -3.426601540319256,
      -3.4258174368870233,
      -3.4225996786572175,
      -3.4169787809284893,
      -3.4089948208341525,
      -3.398697262554739,
      -3.3861448992282175,
      -3.3714056333745814,
      -3.3545565895534963,
      -3.33568522633252,
      -3.314887736655129,
      -3.2922679288926964,
      -3.2679358038319766,
      -3.242007099807883,
      -3.2146044708674073,
      -3.1858578930715526,
      -3.1559029975100206,
      -3.124879516538499,
      -3.092931543058198,
      -3.0602068417390633,
      -3.0268553157840383,
      -2.993028372978505,
      -2.9588767865415213,
      -2.924550156387094,
      -2.8901961933653793,
      -2.855959958199982,
      -2.8219831338198587,
      -2.7884033441242932,
      -2.7553535234062485,
      -2.7229613356932396,
      -2.6913486793305936,
      -2.660631257274171,
      -2.6309182114127507,
      -2.6023114394256597,
      -2.5749055493192996,
      -2.5487896931864915,
      -2.524047489755071,
      -2.5007556550916146,
      -2.4789836011603614,
      -2.4587935465489252,
      -2.4402406017383433,
      -2.4233730513873066,
      -2.4082335173989247,
      -2.394859168976973,
      -2.383280712245671,
      -2.373522283686692,
      -2.3656016967124063,
      -2.359530572726163,
      -2.355314427704592,
      -2.3529527563349286,
      -2.352439545859194,
      -2.3537633298260654,
      -2.356906981468812,
      -2.361847787144282,
      -2.3685575101758576,
      -2.3770022707280885,
      -2.3871421514313527,
      -2.3989315370238344,
      -2.412318984455282,
      -2.427247669340021,
      -2.443655336534192,
      -2.4614746670086065,
      -2.4806334724619274,
      -2.5010547998539994,
      -2.522657078696762,
      -2.545354291687931,
      -2.5690561720748883,
      -2.5936684184004832,
      -2.619092883970751,
      -2.64522795832341,
      -2.6719689460555744,
      -2.699208450744712,
      -2.7268367941955223,
      -2.754742468786279,
      -2.782812619392519,
      -2.8109335511987,
      -2.838991258788213,
      -2.8668719709817467,
      -2.8944627059752235,
      -2.921651830848978,
      -2.9483294227884507,
      -2.9743876834353435,
      -2.999721735422232,
      -3.0242301846235944,
      -3.0478156239094543,
      -3.070385099500628,
      -3.091850548089728,
      -3.1121292006873116,
      -3.131143949370932,
      -3.148823675193065,
      -3.1651035367361584,
      -3.1799252181730724,
      -3.193236796119606,
      -3.204992783038167,
      -3.215154710934055,
      -3.223691255236956,
      -3.2305783022680754,
      -3.235798987282392,
      -3.2393433613176073,
      -3.2412082000336424,
      -3.2413974131441488,
      -3.239922030508721,
      -3.236800104475979,
      -3.2320567747479325,
      -3.2257242597510714,
      -3.2178410361474508,
      -3.20845155708129,
      -3.197606419611628,
      -3.1853621304538122,
      -3.1717808290490295,
      -3.15692998473671,
      -3.140882156517394,
      -3.1237154326279533,
      -3.1055127111192125,
      -3.0863606214099595,
      -3.0663490927172483,
      -3.0455707963168623,
      -3.0241202388202972,
      -3.0020936723633627,
      -2.979588882345858,
      -2.956704746704979,
      -2.9335409431856307,
      -2.910197288330108,
      -2.8867732924893468,
      -2.8633676878086094,
      -2.84007771371218,
      -2.816998661410409,
      -2.794223463119483,
      -2.7718423076888343,
      -2.7499422847804227,
      -2.728607059581157,
      -2.7079166619901684,
      -2.687947479188529,
      -2.668771881409605,
      -2.6504581763010657,
      -2.633070360197371,
      -2.6166677545099954,
      -2.601304470964843,
      -2.5870302980123854,
      -2.5738905397554817,
      -2.561925308145392,
      -2.5511697727967264,
      -2.541654157670557,
      -2.533403744526166,
      -2.5264388618505222
    ],
    [
      12.561893513732329,
      12.548703932679812,
      12.527116562791262,
      12.497402617904696,
      12.459797663266079,
      12.414503690097881,
      12.361690625435267,
      12.30149593556648,
      12.234029470517793,
      12.159371653491785,
      12.077579839344818,
      11.988698026472388,
      11.892762949082694,
      11.78981048328073,
      11.67988239405735,
      11.563024122908617,
      11.439273094256857,
      11.308678949825824,
      11.171330488740514,
      11.027383932824529,
      10.877063962890437,
      10.720632248439998,
      10.558406521835726,
      10.390805137354914,
      10.218336673105632,
      10.04159294558694,
      9.861247663660876,
      9.67805070755859,
      9.492802953698448,
      9.306323215857624,
      9.119424400849521,
      8.932894447505975,
      8.747468956562338,
      8.563808265026612,
      8.382477318455608,
      8.203928646152482,
      8.028493619408955,
      7.856379559820997,
      7.687672001121357,
      7.522341185720198,
      7.360251742939395,
      7.201174506534396,
      7.04479954655984,
      6.890749673552182,
      6.738593882492475,
      6.587860407018129,
      6.43804714440572,
      6.288632141000243,
      6.13908949585629,
      5.9889065514511435,
      5.837591020431638,
      5.684676795683236,
      5.529729930359276,
      5.37236089029945,
      5.212230900040869,
      5.049055517112503,
      4.882629507339519,
      4.7128385714914005,
      4.539680603617715,
      4.363271213629663,
      4.183850528520542,
      4.001781586567419,
      3.8175451508362945,
      3.631727353106464,
      3.4449984451885522,
      3.2580868854839813,
      3.071755921550032,
      2.8867777189447916,
      2.7039028087693717,
      2.5238321110049595,
      2.347194824529433,
      2.17453103115014,
      2.006279457737355,
      1.842770951612234,
      1.6842272786775652,
      1.5307644734437298,
      1.3824000191392398,
      1.2390630880631488,
      1.1006054271726502,
      0.9668122367416673,
      0.8374150376144989,
      0.712101999205914,
      0.5905282268235791,
      0.47232374358530227,
      0.35710086344455355,
      0.24446102486685034,
      0.1340006375184657,
      0.025316071571628226,
      -0.08199205861849074,
      -0.18831515902136936,
      -0.2940333140484539,
      -0.39951219405884714,
      -0.505100082346049,
      -0.6111249099465124,
      -0.717891207533768,
      -0.8256769075557812,
      -0.9347299575998848,
      -1.0452647364270276,
      -1.1574582999026746,
      -1.2714465232895082,
      -1.387320240582712,
      -1.505121528347838,
      -1.6248402211616393,
      -1.7464110187677413,
      -1.8697116215882272,
      -1.9945617943276115,
      -2.120724158617027,
      -2.2479059644574964,
      -2.3757620534408805,
      -2.5038999149300225,
      -2.6318862020740155,
      -2.7592543073324873,
      -2.885514247960444,
      -3.010162871064527,
      -3.132693761115699,
      -3.252607256218186,
      -3.3694197720483894,
      -3.482671714937794,
      -3.5919346353870765,
      -3.69681589546813,
      -3.7969624254372087,
      -3.8920640447261445,
      -3.981854247027224,
      -4.0661088643400785,
      -4.144644553984397,
      -4.21731624570327,
      -4.284013340167021,
      -4.3446542775911885,
      -4.399184073798669,
      -4.447570761406002,
      -4.489801711945515,
      -4.525880268990927,
      -4.555821552947135,
      -4.579651012977738,
      -4.59740094512402,
      -4.609109490876259,
      -4.614818034546378,
      -4.6145708097825295,
      -4.6084173664581085,
      -4.596412819056152,
      -4.5786168795722135,
      -4.555096463571742,
      -4.525930460941263,
      -4.491206833535672,
      -4.45101950967813,
      -4.405479105339827,
      -4.3547237573235025,
      -4.298920276655382,
      -4.238272539698896,
      -4.173014518227975,
      -4.1034021203156605,
      -4.0297153099568375,
      -3.9522809223941353,
      -3.8714535984528506,
      -3.787612111006569,
      -3.70116737460065,
      -3.6125425013067525,
      -3.522182239202791,
      -3.430548140940227,
      -3.3381165102417962,
      -3.2453714567611787,
      -3.1527862786464387,
      -3.060811436317321,
      -2.969873160350658,
      -2.8803695032365404,
      -2.7926669910823545,
      -2.707098022618508,
      -2.6239591155465574,
      -2.5435099497509266,
      -2.4659731182848,
      -2.3915344835007235,
      -2.320344084820925,
      -2.2525180719897895,
      -2.188140176356048,
      -2.1272624213455864,
      -2.069914516045957,
      -2.0161153007852826,
      -1.9658745004664653,
      -1.91918284663451,
      -1.876018017986174,
      -1.836354895379002,
      -1.8001676876379162,
      -1.7674282559336307,
      -1.738109466334839,
      -1.7121800329406274,
      -1.6896051104724603,
      -1.6703519712823127,
      -1.6543909843043643,
      -1.6416974243613776,
      -1.632250148289088,
      -1.6260254889006196,
      -1.6229980088644638,
      -1.623139742165836,
      -1.626421615590844,
      -1.632813252488062,
      -1.6422823468301424,
      -1.654793669243521,
      -1.6703093102532822,
      -1.68878816335012,
      -1.7101850241070697,
      -1.7344509530477206,
      -1.761532786405523,
      -1.7913724432445366,
      -1.8239061841874944,
      -1.8590637449080307,
      -1.8967668971969533,
      -1.936928967452604,
      -1.9794545591208883,
      -2.0242388328246794,
      -2.0711668551816618,
      -2.1201130413912113,
      -2.170940716960467,
      -2.2235018234371475,
      -2.2776367859825295,
      -2.333174532168645,
      -2.389932777568582,
      -2.447718555551828,
      -2.506328925604142,
      -2.565551785224096,
      -2.6251668598221674,
      -2.684947268262086,
      -2.744661093043591,
      -2.8040730425464053,
      -2.862946220772619,
      -2.921043964442242,
      -2.978131704494228,
      -3.033978772237911,
      -3.088360151484609,
      -3.141058211449047,
      -3.191864271063735,
      -3.2405799984440535,
      -3.287018633806612,
      -3.3310060237807795,
      -3.37238090649242,
      -3.410995018825423,
      -3.446713616483657,
      -3.4794157028951167,
      -3.5089951306045837,
      -3.5353608569391475,
      -3.558436880328765,
      -3.57816202719568,
      -3.594488805349773,
      -3.607382947021919,
      -3.6168233697538876,
      -3.6228027365311486,
      -3.625327477194081,
      -3.6244174525772452,
      -3.620105906957478,
      -3.6124387543834517,
      -3.6014743438948145,
      -3.587283443784526,
      -3.569949182433421,
      -3.549567772692515,
      -3.526250151774293,
      -3.5001191426345297,
      -3.471306585555307,
      -3.4399541122794846,
      -3.4062174537126126,
      -3.3702670710770217,
      -3.3322847182664797,
      -3.2924618744342657,
      -3.250999816148937,
      -3.2081091540292794,
      -3.1640069831761504,
      -3.118911654233984,
      -3.0730417430659855,
      -3.0266153420425965,
      -2.9798485839433693,
      -2.9329539383843306,
      -2.8861386584126882,
      -2.839603591854759,
      -2.7935420834517415,
      -2.748138985682619,
      -2.703569793428904,
      -2.6599999127899494,
      -2.6175840712073613,
      -2.576465871055485,
      -2.536777770478056,
      -2.4986410997507624,
      -2.462166054509093,
      -2.4274516401199318,
      -2.3945854147487045,
      -2.3636449799362103,
      -2.334698513148318,
      -2.30780663015632,
      -2.2830243831423127,
      -2.260400725754373,
      -2.2399786090874994,
      -2.2217931761972167,
      -2.2058713100116005,
      -2.192235578559794,
      -2.1809036239642183,
      -2.171885282462454,
      -2.1651838241540022,
      -2.1607961207193425,
      -2.158712831951421,
      -2.1589188166094258,
      -2.161393708004504,
      -2.166111610985957,
      -2.1730409924999887,
      -2.182144710653756,
      -2.1933799269859624,
      -2.2066973618086685,
      -2.2220412962588005,
      -2.2393500601825513,
      -2.2585557977597555,
      -2.2795848889115002,
      -2.3023579876130387,
      -2.3267899881443133,
      -2.3527899839743216,
      -2.3802611815541033,
      -2.409101118099624,
      -2.439201832421755,
      -2.470450038731413,
      -2.5027273595956063,
      -2.535910520342379,
      -2.5698716819140195,
      -2.6044789881630543,
      -2.639597066172229,
      -2.6750875795727214,
      -2.710809839048672,
      -2.7466214641036286,
      -2.7823790885279753,
      -2.8179391005635566,
      -2.853158408562639,
      -2.887895221000985,
      -2.9220098304625295,
      -2.9553653642141122,
      -2.9878282808190777,
      -3.019268744571346,
      -3.049561742435164,
      -3.0785879211496217,
      -3.10623419979896,
      -3.1323943311768314,
      -3.1569694167196105,
      -3.1798683339923355,
      -3.2010081053627752,
      -3.2203142138353624,
      -3.2377207540309696,
      -3.253170079571129,
      -3.2666128762438125,
      -3.2780084953504285,
      -3.2873254750479575,
      -3.294541652992783,
      -3.299644147881769,
      -3.302629264949046,
      -3.3035024141256892,
      -3.302278027019366,
      -3.2989798064762863,
      -3.29364045334447,
      -3.2863009281081643,
      -3.277009794647149,
      -3.265823415402648,
      -3.252805878822499,
      -3.238028685373413,
      -3.221570400199385,
      -3.2035162764093217,
      -3.183958925909724,
      -3.1629978232626783,
      -3.1407376249929353,
      -3.1172868073884086,
      -3.092757080868473,
      -3.067263761669004,
      -3.0409257232085425,
      -3.0138655935492253,
      -2.9862080706558145,
      -2.9580787125401957,
      -2.929603281828432,
      -2.900907096248801,
      -2.872114392345592,
      -2.8433477084512795,
      -2.8147272935478327,
      -2.7863705477121337,
      -2.7583914994323466,
      -2.730900324272001,
      -2.7040029083056925,
      -2.677800458969605,
      -2.6523891649527345,
      -2.6278599058784193,
      -2.604298011114576,
      -2.581783066558919,
      -2.5603887673016534,
      -2.540182828331767,
      -2.521227349708912,
      -2.5035794890857064,
      -2.487291419566888,
      -2.4724095270339106,
      -2.458973493433519,
      -2.447017014073486,
      -2.4365679809968577,
      -2.427648574117461,
      -2.4202753522603286,
      -2.4144593177080136,
      -2.4102059600491796,
      -2.4075154246519586,
      -2.406382629910439,
      -2.4067975895305342,
      -2.4087456000784373,
      -2.412207031609063,
      -2.417157378633451,
      -2.4235673431601508,
      -2.4314029172444416,
      -2.440625466999704,
      -2.4511918196592357,
      -2.4630543559228184,
      -2.4761611146913816,
      -2.4904557687519535,
      -2.5058775067942367,
      -2.5223612936121507,
      -2.5398380362449595,
      -2.558235030356875,
      -2.5774762067609434,
      -2.5974823560092326,
      -2.6181713765123193,
      -2.6394585466417513,
      -2.6612568208287017,
      -2.6834771489707423,
      -2.706028817156799,
      -2.7288198125719103,
      -2.7517572072548115,
      -2.7747475571736566,
      -2.7976973147516038,
      -2.8205132515707794,
      -2.8431028876951516,
      -2.8653749236942887,
      -2.8872396715624067,
      -2.908609480521495,
      -2.9293991537360404,
      -2.94952635269941,
      -2.9689119852589645,
      -2.9874805722431663,
      -3.0051605943122484,
      -3.021884815994533,
      -3.0375902867064504,
      -3.052218454271552,
      -3.0657155264492637,
      -3.0780329257464167,
      -3.0891275319437907,
      -3.0989618475539813,
      -3.107504156986654,
      -3.114728606989482,
      -3.1206152587459233,
      -3.12515012840674,
      -3.128325199556191,
      -3.13013840845966,
      -3.1305936028401775,
      -3.1297004748333914,
      -3.1274747031483923,
      -3.1239378554461195,
      -3.119116987733269,
      -3.113044468115158,
      -3.1057577868057042,
      -3.097299292671103,
      -3.0877157542375535,
      -3.0770581522769653,
      -3.065381655261875,
      -3.052745342517606,
      -3.0392119001047804,
      -3.0248473004430427,
      -3.0097204671415483,
      -2.993902926821529,
      -2.9774684500883306,
      -2.960492683601623,
      -2.943052775730817,
      -2.925227123911656,
      -2.907095155939434,
      -2.8887366674338124,
      -2.87023133092721,
      -2.851658318496653,
      -2.8330959444903265,
      -2.8146213209766766,
      -2.7963100283309084,
      -2.7782358028268748,
      -2.7604702432302357,
      -2.743082574259957,
      -2.7261395593944058,
      -2.7097054319270537,
      -2.693841460088392,
      -2.678605703534606,
      -2.6640528434670583,
      -2.6502340122859853,
      -2.637196454474305,
      -2.624983482761614,
      -2.6136345571598185,
      -2.6031852206530095,
      -2.5936670519936564,
      -2.585107634181342,
      -2.5775305373992636,
      -2.570955305635077,
      -2.565397420098266,
      -2.5608683463722373,
      -2.5573755883252485,
      -2.5549227255120686,
      -2.5535094583819022,
      -2.5531317247580674,
      -2.55378195184186,
      -2.5554489236181226,
      -2.5581177818615,
      -2.561770101309929,
      -2.56638397093539
    ],
    [
      12.561368979360875,
      12.546354508615714,
      12.521541370503714,
      12.487315604869682,
      12.444012747988646,
      12.391926324769429,
      12.331309462011955,
      12.262376614906882,
      12.18530595886841,
      12.100235464129513,
      12.007280967020193,
      11.906547649623649,
      11.798140942011116,
      11.682171635115225,
      11.558744410741117,
      11.42794900415357,
      11.289891607060024,
      11.144732074725512,
      10.992697071121254,
      10.8340493345836,
      10.669092518814656,
      10.498219757193628,
      10.321926563348294,
      10.140799932435284,
      9.95551805208021,
      9.76684830240683,
      9.575621145906299,
      9.382693960872258,
      9.188930428084069,
      8.99517731240375,
      8.802237710855248,
      8.610840064629171,
      8.421612070668422,
      8.2350625912066,
      8.051570242302907,
      7.871378691946689,
      7.694597695367532,
      7.521209115973416,
      7.351078132756524,
      7.183966540851178,
      7.019547139071101,
      6.857418628571519,
      6.6971203233203696,
      6.538149683017694,
      6.379984220723381,
      6.222090928047076,
      6.063939084204573,
      5.905006815184109,
      5.744789122651121,
      5.582816058153249,
      5.418666643447931,
      5.2519717269126875,
      5.082416253332916,
      4.909775538671454,
      4.7339249130004335,
      4.5548565373515135,
      4.372691978578764,
      4.187679999128962,
      4.000199504875779,
      3.8107525413706984,
      3.6199485150573496,
      3.4284815674299303,
      3.2371068600454262,
      3.046612885482707,
      2.8577889776420182,
      2.671395890930825,
      2.488138864025043,
      2.3086439480374183,
      2.1334403619864184,
      1.9629487020922969,
      1.7974753648097401,
      1.6372133687660984,
      1.482248245829467,
      1.3325667740222333,
      1.1880681238158342,
      1.0485759500327452,
      0.9138493156476545,
      0.783595232276982,
      0.6574790493934034,
      0.5351345282478377,
      0.41617327467927184,
      0.3001928697510027,
      0.1867833796522978,
      0.07553312437934585,
      -0.03396637823282067,
      -0.1421161720891967,
      -0.2493061590201029,
      -0.3559117728666444,
      -0.4622908873860991,
      -0.568780832674667,
      -0.6756954162455823,
      -0.7833218698457336,
      -0.8919176703874042,
      -1.001707213649171,
      -1.1128783525189907,
      -1.2255788360839646,
      -1.339912550273844,
      -1.4559362065802246,
      -1.573656870294516,
      -1.693029058138786,
      -1.8139524585345348,
      -1.9362710122990583,
      -2.059773081085043,
      -2.184192743341215,
      -2.3092126669795308,
      -2.4344685160204693,
      -2.559554421011231,
      -2.6840301055895286,
      -2.807429763318251,
      -2.929271257551054,
      -3.0490656788120836,
      -3.166326755806288,
      -3.2805795211310813,
      -3.391368073329757,
      -3.4982615227405285,
      -3.600861456962629,
      -3.6988072531701324,
      -3.791778597608015,
      -3.8794963709557124,
      -3.961722616008775,
      -4.038259385258588,
      -4.108946296413736,
      -4.173656087070139,
      -4.232292674979417,
      -4.284788519003769,
      -4.331101235750996,
      -4.371208373947457,
      -4.40510396334012,
      -4.432796881118393,
      -4.454306402254345,
      -4.469662376322188,
      -4.478904718606761,
      -4.482081196369454,
      -4.479247135598893,
      -4.470466822294074,
      -4.4558120882339205,
      -4.4353626331320255,
      -4.409209092710468,
      -4.377457569487162,
      -4.340225153780553,
      -4.29763847934976,
      -4.249853621378633,
      -4.197057646278565,
      -4.139474651256229,
      -4.077362674921697,
      -4.01100464981939,
      -3.940702715454937,
      -3.8667986751237837,
      -3.7896696688302045,
      -3.7097168262154385,
      -3.6273661911404798,
      -3.5430526091661814,
      -3.457225786080965,
      -3.370342810468786,
      -3.2828652307456734,
      -3.1952570921458086,
      -3.1079729017555087,
      -3.0214414438802435,
      -2.936060472772381,
      -2.8521960366670003,
      -2.7701807796576485,
      -2.6903123695476814,
      -2.6128526118768067,
      -2.538027244542882,
      -2.4660263774410422,
      -2.3970052628069554,
      -2.33108381660031,
      -2.268349195462092,
      -2.2088628354874764,
      -2.152672735094496,
      -2.0998150378753535,
      -2.0503051557646805,
      -2.0041375808434596,
      -1.961301652149568,
      -1.9217823890590224,
      -1.8855626302663964,
      -1.8526256689888472,
      -1.8229526968868504,
      -1.7965192327335697,
      -1.7732964279375165,
      -1.7532550767656039,
      -1.736369883591343,
      -1.7226204110015508,
      -1.711987331375539,
      -1.704448391574284,
      -1.6999785574458288,
      -1.6985497091571402,
      -1.7001303016645117,
      -1.7046868233326804,
      -1.7121834722786582,
      -1.7225818214370123,
      -1.7358399097870043,
      -1.7519118983982007,
      -1.7707483209150625,
      -1.7922958716118296,
      -1.816496977148943,
      -1.843289166992222,
      -1.8726040497942245,
      -1.9043670363251066,
      -1.9384970091070617,
      -1.9749057242671426,
      -2.0134972358780736,
      -2.054166881888216,
      -2.0968008213982716,
      -2.141276177557168,
      -2.1874607619171784,
      -2.235212906973352,
      -2.284381435362714,
      -2.334805780953979,
      -2.3863162713760624,
      -2.4387345750367304,
      -2.4918741223814815,
      -2.5455409394590696,
      -2.599534818501021,
      -2.65365044705309,
      -2.7076786727626416,
      -2.7614078810048173,
      -2.814625458323731,
      -2.867119311885479,
      -2.918679412814186,
      -2.969099331467288,
      -3.0181777332269304,
      -3.065719805972078,
      -3.1115385933843913,
      -3.1554562128467865,
      -3.1973042818610797,
      -3.2369239413959154,
      -3.2741677534275926,
      -3.3089007839554467,
      -3.3410010778032313,
      -3.370359605126761,
      -3.3968801800451245,
      -3.420480103313919,
      -3.441090125392621,
      -3.4586538281625034,
      -3.473128364376822,
      -3.4844845286376525,
      -3.492706594528341,
      -3.497792128569967,
      -3.499751854476262,
      -3.498609941122007,
      -3.494403737104577,
      -3.4871821758247203,
      -3.4770054573454976,
      -3.463945353630422,
      -3.4480850517970945,
      -3.429518864800372,
      -3.4083522702750826,
      -3.384703430696735,
      -3.3587010260604866,
      -3.3304806363366617,
      -3.3001858843516803,
      -3.2679714213034816,
      -3.234002297296929,
      -3.198452934766927,
      -3.1615042008958842,
      -3.123344124018673,
      -3.0841642865275305,
      -3.0441584643441546,
      -3.0035227628348253,
      -2.96245227742274,
      -2.921138420514562,
      -2.879768052095104,
      -2.8385227339529417,
      -2.7975777938115214,
      -2.757101473922085,
      -2.7172541757814717,
      -2.678187808548309,
      -2.640045247525526,
      -2.6029599051582415,
      -2.567055414557463,
      -2.532445422677157,
      -2.4992340087909977,
      -2.467516112162196,
      -2.4373771902361665,
      -2.408894870359254,
      -2.3821386725523737,
      -2.357171960610819,
      -2.334053318015731,
      -2.3128340255232023,
      -2.293557297965822,
      -2.276259121735473,
      -2.2609703669697025,
      -2.247716541805841,
      -2.236515385867172,
      -2.227377840995507,
      -2.2203084671589357,
      -2.2153055714140506,
      -2.2123614754121275,
      -2.211462751058431,
      -2.212590436172281,
      -2.2157205617910147,
      -2.220824060997656,
      -2.2278665630620025,
      -2.236808451613374,
      -2.2476049058081156,
      -2.2602059541134585,
      -2.2745565295365653,
      -2.2905959814751706,
      -2.3082578867814925,
      -2.327470642881257,
      -2.3481577026042424,
      -2.3702376064713726,
      -2.3936239325747097,
      -2.4182255508704102,
      -2.4439467784336593,
      -2.470687469609117,
      -2.4983433466696803,
      -2.526806187059503,
      -2.5559641429034445,
      -2.585702265428202,
      -2.615902926651723,
      -2.6464462777367252,
      -2.677210749319762,
      -2.7080735867043026,
      -2.7389114167745907,
      -2.7696007988432365,
      -2.800018571995886,
      -2.830042581015946,
      -2.8595524721330188,
      -2.888430323464068,
      -2.916561142489019,
      -2.943833312621894,
      -2.970139229164116,
      -2.9953760096169217,
      -3.0194460443126245,
      -3.042257459196499,
      -3.063724549773568,
      -3.08376816270024,
      -3.1023156142571766,
      -3.1193009975057318,
      -3.1346658427688854,
      -3.148359327653471,
      -3.1603384407763855,
      -3.1705681013991853,
      -3.179021236870257,
      -3.185678831697165,
      -3.190529976374856,
      -3.1935717935064387,
      -3.1948093772873207,
      -3.194256044434465,
      -3.1919330710731666,
      -3.1878692341470773,
      -3.182100609117457,
      -3.1746703392096522,
      -3.165628199907729,
      -3.1550299601829006,
      -3.1429375136664475,
      -3.129418683017561,
      -3.11454685835416,
      -3.0984006094791097,
      -3.081063272846075,
      -3.0626225149737096,
      -3.0431698800528326,
      -3.022800975104907,
      -3.001614968751993,
      -2.979713181759714,
      -2.957197898108901,
      -2.93417223212553,
      -2.9107400924755074,
      -2.8870056578236394,
      -2.863072999692212,
      -2.8390458627438107,
      -2.8150267076188165,
      -2.7911161119296723,
      -2.767412324499969,
      -2.7440108478805474,
      -2.7210040524122427,
      -2.698480823810212,
      -2.6765262457324632,
      -2.655221318856113,
      -2.634642805156982,
      -2.6148634318946393,
      -2.595951522702325,
      -2.577970918899997,
      -2.5609808981032907,
      -2.545035443149838,
      -2.530183247473744,
      -2.5164676036382576,
      -2.5039266942420215,
      -2.4925936418590657,
      -2.4824965386912874,
      -2.4736584904440564,
      -2.466097657588444,
      -2.4598272606329745,
      -2.4548556978892746,
      -2.4511866559928555,
      -2.448819194071718,
      -2.447747830988637,
      -2.447962635094535,
      -2.4494493972463496,
      -2.452189972336475,
      -2.4561621212880262,
      -2.4613395142920447,
      -2.4676918284804663,
      -2.4751848494508457,
      -2.4837805779756343,
      -2.493437342858923,
      -2.504109927090794,
      -2.5157497258265944,
      -2.528304865975987,
      -2.5417203382285,
      -2.5559381600654274,
      -2.5708975522515214,
      -2.586535130123061,
      -2.602785109840851,
      -2.6195795279803114,
      -2.6368483851081437,
      -2.6545199301487377,
      -2.672521035337983,
      -2.690777478444983,
      -2.709214237969113,
      -2.7277557991912165,
      -2.7463264698081966,
      -2.7648507028043023,
      -2.7832534245444704,
      -2.801460365583692,
      -2.8193983367472595,
      -2.8369954667043613,
      -2.8541816164912515,
      -2.870888722672174,
      -2.8870511074354512,
      -2.9026057764258457,
      -2.9174927027904447,
      -2.9316550951120535,
      -2.9450396472957454,
      -2.957596769190574,
      -2.969280796410968,
      -2.9800501784508393,
      -2.989867644018722,
      -2.9987003431641694,
      -3.0065199709963593,
      -3.0133028906553556,
      -3.0190301886016098,
      -3.0236877036981658,
      -3.0272660503675435,
      -3.0297606182291186,
      -3.031171549360438,
      -3.0315039009901783,
      -3.0307675838116843,
      -3.0289770526663413,
      -3.02615119119833,
      -3.0223131806693972,
      -3.017490350020165,
      -3.011714007934892,
      -3.0050192578771893,
      -2.9974447971807554,
      -2.9890326981249107,
      -2.979828140119974,
      -2.969879178179871,
      -2.959236523012589,
      -2.9479531684365803,
      -2.936084118610527,
      -2.9236862431371122,
      -2.910817998698765,
      -2.8975391398970345,
      -2.8839104278668004,
      -2.869993338315232,
      -2.855849770566916,
      -2.841541759855544,
      -2.8271311944392137,
      -2.8126795390874597,
      -2.7982475668302103,
      -2.783895100296634,
      -2.76968076415175,
      -2.7556617498902214,
      -2.741893593944289,
      -2.7284299666064236,
      -2.7153223576624113,
      -2.7026198991284307,
      -2.6903693127275283,
      -2.6786147670181637,
      -2.66739775048429,
      -2.65675696052058,
      -2.6467282076728202,
      -2.637344334846464,
      -2.6286351510468524,
      -2.620627375258011,
      -2.6133445630681966,
      -2.6068070891978596,
      -2.6010321586115728,
      -2.596033802083692,
      -2.5918228819889175,
      -2.588407107436248,
      -2.5857910582308987,
      -2.5839762169549174,
      -2.5829610088063784,
      -2.5827408487078993,
      -2.583308195336193,
      -2.584652658380239,
      -2.586761217127498,
      -2.589618147564288,
      -2.593205038381542,
      -2.597500875100392,
      -2.602482130548452,
      -2.608122862148617,
      -2.6143948155389483,
      -2.6212675348644527,
      -2.6287084800259195,
      -2.6366831507442225
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.485967365142098,
      12.440703990087348,
      12.385818632203517,
      12.321636343158179,
      12.248437680090639,
      12.16646058472209,
      12.075896557146232,
      11.9769128961094,
      11.869665023703536,
      11.754305488399007,
      11.630988478277485,
      11.499851884848301,
      11.361029592769926,
      11.214697223235904,
      11.061091470498436,
      10.90048880462158,
      10.733197701994836,
      10.55960568143843,
      10.380208535756902,
      10.195603981057896,
      10.00648343645527,
      9.813633592047264,
      9.61791146891242,
      9.420207295524046,
      9.221423681378312,
      9.02245270516807,
      8.824143576508035,
      8.62726693910325,
      8.432487435725749,
      8.24034252088891,
      8.051230325057233,
      7.865407021696712,
      7.682987578211397,
      7.503952204020953,
      7.32815725951179,
      7.155350272142073,
      6.985190389995405,
      6.817263965890336,
      6.651099787310585,
      6.486187025931656,
      6.321990467187458,
      6.157964435099489,
      5.9935620280241935,
      5.828247897096897,
      5.661518384303519,
      5.492917686195998,
      5.32204483430369,
      5.1485587631866405,
      4.972199307712631,
      4.7928080653389875,
      4.61034732866292,
      4.424906841880433,
      4.236708382680118,
      4.046110907833057,
      3.8536019196123075,
      3.6597826676189116,
      3.465346638711489,
      3.2710559842629547,
      3.077710080651333,
      2.886113109150833,
      2.6970424516174267,
      2.511219607759951,
      2.329287174901684,
      2.1517900538219963,
      1.9791625937665076,
      1.811722726700825,
      1.649672077060456,
      1.4931020666189534,
      1.3420050206603011,
      1.1962840749127501,
      1.0557634071484487,
      0.9202018129351756,
      0.7893042798825629,
      0.6627335202155958,
      0.5401207298708366,
      0.42107507958804946,
      0.3051919180904084,
      0.19205998841176697,
      0.08126764073937436,
      -0.027592597176926942,
      -0.1349198992799555,
      -0.24110151145972836,
      -0.3465095472503883,
      -0.4514980627528185,
      -0.556400284236704,
      -0.6615258837584552,
      -0.7671582222386752,
      -0.8735515058990075,
      -0.9809278290729377,
      -1.089473910131998,
      -1.1993381117294288,
      -1.3106278413614236,
      -1.4234064978318104,
      -1.5376902376547301,
      -1.6534455726936232,
      -1.7705875857435012,
      -1.88897893508256,
      -2.008429848773211,
      -2.1286992616457012,
      -2.2494972252235446,
      -2.370488575562053,
      -2.4912974974421758,
      -2.6115141112578844,
      -2.7307018870203903,
      -2.848405661168957,
      -2.964160659259225,
      -3.0775011271870816,
      -3.18796846138794,
      -3.2951197426721826,
      -3.3985336398129693,
      -3.497816394250197,
      -3.592607145851283,
      -3.6825811274594624,
      -3.7674515359446343,
      -3.8469701739841553,
      -3.9209270135152545,
      -3.989148299761619,
      -4.051492811340482,
      -4.107851058535123,
      -4.158142547578775,
      -4.2023106340653475,
      -4.2403203252959045,
      -4.272157042712263,
      -4.2978229487240895,
      -4.317334422607149,
      -4.330722005285066,
      -4.338029252984899,
      -4.339311742261487,
      -4.33463592769388,
      -4.324079110117637,
      -4.307729164299734,
      -4.285685051330107,
      -4.258059217462338,
      -4.2249826776826716,
      -4.186598166363044,
      -4.143063271798977,
      -4.094571302908575,
      -4.041348737335733,
      -3.983658931761565,
      -3.9217971064366055,
      -3.8560781491116063,
      -3.7868366686732364,
      -3.714445605487591,
      -3.6393044927374505,
      -3.561835122885304,
      -3.4824712041001074,
      -3.401650092804592,
      -3.3198154657888606,
      -3.237404076532118,
      -3.154846817273037,
      -3.072561569221744,
      -2.9909528533517613,
      -2.910403300368136,
      -2.8312632692424016,
      -2.7538483461506154,
      -2.6784384932019725,
      -2.60527779641948,
      -2.5345747958199363,
      -2.4665033556297495,
      -2.401204843969692,
      -2.3387939407777965,
      -2.2793667434663547,
      -2.2229991044903676,
      -2.1697443910423857,
      -2.1196308996706126,
      -2.0726700125113546,
      -2.028866863288846,
      -1.9882171304283576,
      -1.950715249224661,
      -1.9163547185285799,
      -1.8851252441414383,
      -1.857009378728849,
      -1.8319847945406433,
      -1.8100255532762357,
      -1.7911080560070975,
      -1.77521344492424,
      -1.7623249349354762,
      -1.752422880060182,
      -1.7454839832924,
      -1.741481780637457,
      -1.7403860347718456,
      -1.7421625380768142,
      -1.7467744237461402,
      -1.7541824229457827,
      -1.764344305186007,
      -1.7772144328175483,
      -1.7927427083205032,
      -1.8108751192597563,
      -1.8315537954622296,
      -1.8547165712201164,
      -1.8802965504007552,
      -1.9082216439431539,
      -1.938414092471731,
      -1.970789986685027,
      -2.005258800291701,
      -2.0417229506598202,
      -2.080077314535526,
      -2.12020864548017,
      -2.1619956061540746,
      -2.205308640759313,
      -2.2500096143564683,
      -2.295952087591795,
      -2.342981742459671,
      -2.390936628315906,
      -2.439647459576003,
      -2.488938450065331,
      -2.5386281426866226,
      -2.588530310267421,
      -2.638454978162925,
      -2.688209552346043,
      -2.7376000339358373,
      -2.7864322975740055,
      -2.834513409420485,
      -2.881652959231346,
      -2.92766432084422,
      -2.9723655563013613,
      -3.0155807813225444,
      -3.0571413750991363,
      -3.0968861881721534,
      -3.134662717934943,
      -3.1703286941602298,
      -3.2037528321381714,
      -3.2348154439902634,
      -3.263408941572816,
      -3.289438148503872,
      -3.312820167911061,
      -3.33348433425214,
      -3.351372084699871,
      -3.366437736532115,
      -3.3786485611598622,
      -3.387984683794603,
      -3.394438936043532,
      -3.398016840055671,
      -3.398737070612336,
      -3.3966306752860924,
      -3.3917404395746282,
      -3.384120263715534,
      -3.373834317008274,
      -3.3609572416648272,
      -3.345574080045029,
      -3.327779915823252,
      -3.3076794261066693,
      -3.2853865772708137,
      -3.2610257460730594,
      -3.2347293510539963,
      -3.2066346505755825,
      -3.1768859147268538,
      -3.145635654292504,
      -3.1130428581093366,
      -3.0792723684099443,
      -3.0444939513968277,
      -3.0088800661286577,
      -2.972605671511901,
      -2.9358451258475897,
      -2.898770922850302,
      -2.8615524313916008,
      -2.824354919696149,
      -2.787339161695979,
      -2.75066023369597,
      -2.714466385303881,
      -2.6788984425724407,
      -2.6440893254208357,
      -2.610163697389233,
      -2.5772378966481684,
      -2.545420129813993,
      -2.5148104550558115,
      -2.4855003508938953,
      -2.4575727184557095,
      -2.431104940447368,
      -2.406169701583727,
      -2.3828319613825584,
      -2.361148678596323,
      -2.3411693783002008,
      -2.322937546519459,
      -2.306491205937998,
      -2.2918625032405946,
      -2.2790755943067516,
      -2.268147797388493,
      -2.259090154269999,
      -2.2519075734891376,
      -2.24659901511074,
      -2.24315777670415,
      -2.241571678629059,
      -2.2418232236682907,
      -2.2438897385745715,
      -2.247743777735661,
      -2.253353352091084,
      -2.2606816399306067,
      -2.269687018880483,
      -2.2803231602471814,
      -2.2925391310779273,
      -2.3062793974675704,
      -2.321483871145279,
      -2.3380877216172853,
      -2.3560213543772766,
      -2.3752107293694094,
      -2.3955772752289723,
      -2.417038312793299,
      -2.4395073992441234,
      -2.462894515640371,
      -2.4871062759222613,
      -2.512046182956249,
      -2.5376149188917836,
      -2.5637106694389358,
      -2.590229482630007,
      -2.6170656421904317,
      -2.6441119434716724,
      -2.6712601709896178,
      -2.6984016657073804,
      -2.7254278221196366,
      -2.752230600325984,
      -2.778703048430446,
      -2.804739829391304,
      -2.830237746671355,
      -2.8550962761486915,
      -2.8792180784696706,
      -2.9025094500535924,
      -2.9248806441480797,
      -2.946246371323599,
      -2.9665263018698735,
      -2.985645130379773,
      -3.0035328611861316,
      -3.020125450983346,
      -3.0353650959696235,
      -3.0492004642994055,
      -3.061586888889292,
      -3.0724865205238654,
      -3.081868441895145,
      -3.089708743767908,
      -3.0959905642313594,
      -3.1007041179083936,
      -3.103846859285202,
      -3.1054236153976453,
      -3.1054461407546397,
      -3.1039329000672953,
      -3.100908906652807,
      -3.0964055330887206,
      -3.090460294725481,
      -3.0831166071494898,
      -3.0744235187497058,
      -3.064435361205734,
      -3.0532111274725287,
      -3.0408142876569015,
      -3.027312704694195,
      -3.012778262873923,
      -2.997286478593564,
      -2.9809160953376996,
      -2.963748664990512,
      -2.945868118173733,
      -2.9273603264188264,
      -2.908312658846229,
      -2.8888135365166643,
      -2.868951988039411,
      -2.848817209470108,
      -2.82849813185854,
      -2.808082999786921,
      -2.78765896417578,
      -2.7673116833739626,
      -2.7471249163301206,
      -2.727180284883675,
      -2.707556923517031,
      -2.688331094932994,
      -2.6695759627716296,
      -2.6513613509978176,
      -2.633753528526559,
      -2.6168150217503214,
      -2.600604454601266,
      -2.5851763743644343,
      -2.5705808945963,
      -2.556863728987104,
      -2.544066296767505,
      -2.532225687367877,
      -2.521374643742347,
      -2.511541562906804,
      -2.502750506199485,
      -2.495021176406938,
      -2.4883689751024316,
      -2.482805094173702,
      -2.4783365755133873,
      -2.4749663781579234,
      -2.4726934510403646,
      -2.4715128112473255,
      -2.471415626884153,
      -2.4723893037321707,
      -2.474417575950055,
      -2.4774806289343645,
      -2.4815554053606417,
      -2.4866156121369682,
      -2.492631667465741,
      -2.499570810881486,
      -2.507397218905862,
      -2.5160721312903664,
      -2.525554008272832,
      -2.535798653662954,
      -2.546759340213146,
      -2.558386964625126,
      -2.5706302121342377,
      -2.5834357314504963,
      -2.5967483199880146,
      -2.61051111933535,
      -2.624665821101419,
      -2.6391528828028195,
      -2.6539117531340954,
      -2.6688811061175604,
      -2.6839990829709395,
      -2.6992035410250685,
      -2.7144323080520047,
      -2.7296234406560957,
      -2.7447154854628697,
      -2.759647741234362,
      -2.774360520044314,
      -2.788795406062125,
      -2.802895510022015,
      -2.8166057175190744,
      -2.829872929572062,
      -2.842646293706948,
      -2.854877423807602,
      -2.866520607450477,
      -2.877532999546643,
      -2.887874800777461,
      -2.897509419923092,
      -2.9064036192190645,
      -2.9145276419892165,
      -2.9218553220439554,
      -2.9283641746461604,
      -2.9340354941443607,
      -2.938854405774078,
      -2.9428098735891584,
      -2.945894849567157,
      -2.948106335581287,
      -2.9494451741514545,
      -2.949915980437754,
      -2.9495270796587425,
      -2.9482904276048627,
      -2.9462215147482844,
      -2.943339254409613,
      -2.939665856062009,
      -2.935226684251715,
      -2.930050104082061,
      -2.92416731454965,
      -2.9176121700405306,
      -2.9104209915030714,
      -2.902632368140296,
      -2.894286950984088,
      -2.885427239290996,
      -2.87609734908449,
      -2.8663427752424604,
      -2.85621018991888,
      -2.8457472192899074,
      -2.8350022139495454,
      -2.8240240201918927,
      -2.8128617529301487,
      -2.8015645720562974,
      -2.790181463406033,
      -2.7787610253222716,
      -2.7673512618310943,
      -2.755999383807057,
      -2.744751618762385,
      -2.7336530302113493,
      -2.72274734720829,
      -2.712076804681251,
      -2.7016819950499915,
      -2.6916017314325242,
      -2.681872922814417,
      -2.6725304610187886,
      -2.6636071173849873,
      -2.655133432033666,
      -2.6471376417796084,
      -2.6396456310338703,
      -2.632680877383313,
      -2.6262644080262603,
      -2.6204147665041795,
      -2.6151479893448184,
      -2.610477592368946,
      -2.606414565796109,
      -2.6029673780022615,
      -2.600141987387675,
      -2.5979418619110644,
      -2.596368005948293,
      -2.595418994191381,
      -2.595091012033248,
      -2.5953779023268737,
      -2.5962712182920322,
      -2.59776028230315,
      -2.599832250400433,
      -2.6024721822194876,
      -2.605663126944723,
      -2.6093863129985237,
      -2.6136211949628385,
      -2.6183454509595094,
      -2.6235350775971473,
      -2.629164489943277,
      -2.6352066259816587,
      -2.6416330563976986,
      -2.648414098699972,
      -2.655518935796786,
      -2.662915738878737
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.384347695080113,
      12.318256910743777,
      12.242432103225495,
      12.157182310219714,
      12.062761933240008,
      11.959395950829906,
      11.847295661019029,
      11.726668977653752,
      11.59771587824446,
      11.460606381175303,
      11.315523173719134,
      11.162705749254313,
      11.002441565390772,
      10.835043319232234,
      10.660877103709455,
      10.480409079295837,
      10.294219675827593,
      10.102989730292498,
      9.907499410100671,
      9.708614107302546,
      9.507247624371491,
      9.304337846534832,
      9.100824440703773,
      8.897607648779035,
      8.695517431719583,
      8.495280168455091,
      8.29749427257851,
      8.102619646632204,
      7.910972125826549,
      7.722722000214929,
      7.537894355507016,
      7.3563799920075335,
      7.177951040413822,
      7.002279304653004,
      6.828954472111595,
      6.657503443855122,
      6.487407557496686,
      6.31811773244607,
      6.149074249616524,
      5.979715477739917,
      5.809498061353779,
      5.63791310617871,
      5.464506327779321,
      5.288889738759884,
      5.110736123665205,
      4.929812256215005,
      4.7459934343930925,
      4.559278201420061,
      4.369798368046108,
      4.177825422199995,
      3.9837705274267328,
      3.7881725237665482,
      3.591679818495868,
      3.395026676877388,
      3.1990032052386757,
      3.0044235573967137,
      2.812093018279223,
      2.6227765771251677,
      2.437171062133614,
      2.2558829758937637,
      2.0794130708169294,
      1.908146720890633,
      1.742350613579314,
      1.582177873597801,
      1.4276748065831015,
      1.2787899994958551,
      1.1353870536718804,
      0.9972571568655861,
      0.8641308778355148,
      0.7356906413825491,
      0.6115823501160893,
      0.49142572629402087,
      0.37482329655745855,
      0.2613680534282981,
      0.15064990028404113,
      0.04226101664046024,
      -0.06419945289045124,
      -0.1691214397389012,
      -0.2728809453391912,
      -0.37583724140148095,
      -0.4783303059523252,
      -0.5806783987794074,
      -0.6831757469762543,
      -0.7860903626604582,
      -0.8896611221547863,
      -0.9940950509034856,
      -1.0995652020250923,
      -1.2062083324090758,
      -1.3141216662069852,
      -1.423360137310198,
      -1.5339341226460121,
      -1.645807330689639,
      -1.7588953422155948,
      -1.8730650543821818,
      -1.988134820380262,
      -2.103875599414895,
      -2.220013218810736,
      -2.3362314549501115,
      -2.4521763650868507,
      -2.5674625145422105,
      -2.6816796853915124,
      -2.7944002042074856,
      -2.905186696281621,
      -3.013599562052885,
      -3.1192046967015936,
      -3.2215808116395324,
      -3.3203246740182686,
      -3.4150574189060072,
      -3.505429619571827,
      -3.591124543543874,
      -3.671860246127225,
      -3.747390567745265,
      -3.8175051517446428,
      -3.8820267031561637,
      -3.94080866751589,
      -3.9937348163208215,
      -4.040716164075451,
      -4.081690381432159,
      -4.11661983374322,
      -4.145488983940551,
      -4.168299559035211,
      -4.185069785979614,
      -4.195834551945305,
      -4.200645189811302,
      -4.199567699727073,
      -4.1926803379422815,
      -4.18007467184753,
      -4.161855369431029,
      -4.138140776956399,
      -4.109065060562395,
      -4.074782495001948,
      -4.035458382278081,
      -3.991280587532769,
      -3.9424751240650724,
      -3.8893003499822076,
      -3.8320508296932574,
      -3.7710469651641363,
      -3.7066248029592774,
      -3.6391396625840424,
      -3.568976996891698,
      -3.4965435786995607,
      -3.4222644085836795,
      -3.3465649102525012,
      -3.269867054573528,
      -3.192592933426144,
      -3.115151367750738,
      -3.037932153334265,
      -2.9613069521564297,
      -2.885626202621946,
      -2.8112130501935253,
      -2.738361311345733,
      -2.6673344974727797,
      -2.5983653467619003,
      -2.531655973435771,
      -2.467379754971471,
      -2.405682608072953,
      -2.3466847059239777,
      -2.2904802544784157,
      -2.23713844118557,
      -2.1867036282394485,
      -2.13920984562924,
      -2.0946754670987247,
      -2.0531107130053927,
      -2.0145239938350534,
      -1.9789208053608378,
      -1.946300793508623,
      -1.9166549653763787,
      -1.88996826275778,
      -1.8662204453558193,
      -1.8453911640785858,
      -1.8274641599703552,
      -1.812425514448269,
      -1.8002593093828876,
      -1.7909455566017134,
      -1.784459900864195,
      -1.7807742027198175,
      -1.7798566752724767,
      -1.7816712262855903,
      -1.786178184587634,
      -1.7933354128740049,
      -1.8030976967675665,
      -1.8154164160739708,
      -1.8302385558665686,
      -1.847506758011808,
      -1.8671598271311425,
      -1.889132372893071,
      -1.913354445381596,
      -1.939751173035522,
      -1.9682423928395516,
      -1.9987422849071153,
      -2.0311590237527204,
      -2.065394459573285,
      -2.101343842698347,
      -2.138895604669102,
      -2.177931209059099,
      -2.2183250843252655,
      -2.2599446500119957,
      -2.3026504457771524,
      -2.346296180503533,
      -2.390729070523159,
      -2.435790518945837,
      -2.481316717282117,
      -2.5271393533833266,
      -2.573086429143988,
      -2.618983176644091,
      -2.6646530555673835,
      -2.7099188179434828,
      -2.7546036222006705,
      -2.7985321763833078,
      -2.841531891283377,
      -2.883434022378171,
      -2.924074781525412,
      -2.963296339324071,
      -3.000947203782601,
      -3.0368833163368385,
      -3.070969383520219,
      -3.10307962555447,
      -3.1330984243624096,
      -3.160920895356385,
      -3.186453384248713,
      -3.2096137515620184,
      -3.2303307119412557,
      -3.248543768300457,
      -3.264204358646985,
      -3.2772759674034635,
      -3.2877340943201774,
      -3.29556616692473,
      -3.300771830094372,
      -3.3033629683510055,
      -3.303362996241308,
      -3.3008064885512765,
      -3.295738806131641,
      -3.2882157641818246,
      -3.278302704557568,
      -3.266073976405982,
      -3.2516131593287523,
      -3.235012735073802,
      -3.2163735953366612,
      -3.195804509725877,
      -3.1734215526825187,
      -3.1493480749050677,
      -3.123714055343671,
      -3.0966529174416335,
      -3.068302692348742,
      -3.038807098550569,
      -3.0083138279160866,
      -2.976973548345161,
      -2.944938331517266,
      -2.912361423803268,
      -2.879396411267109,
      -2.8461949248277576,
      -2.8129058833208775,
      -2.7796753530594978,
      -2.7466449283537404,
      -2.7139507453285425,
      -2.681722931182962,
      -2.6500851257738294,
      -2.6191540782324947,
      -2.5890393197343373,
      -2.559843718833459,
      -2.531664875889433,
      -2.504594033769058,
      -2.4787153161563973,
      -2.454105703235816,
      -2.430834835441334,
      -2.408965443211081,
      -2.38855400268085,
      -2.369651330411643,
      -2.3523027892406856,
      -2.336547339993952,
      -2.3224157647707617,
      -2.309932162089776,
      -2.2991145236625448,
      -2.2899749056999594,
      -2.2825195373932377,
      -2.276749083390673,
      -2.2726588620213017,
      -2.2702390164689383,
      -2.2694746748745764,
      -2.2703460986665736,
      -2.2728288189647405,
      -2.2768937619784797,
      -2.282507660332431,
      -2.2896331911079426,
      -2.298228747818993,
      -2.308248570049325,
      -2.319642789928267,
      -2.3323574795371917,
      -2.3463346793883915,
      -2.361512545916322,
      -2.3778254072416374,
      -2.3952037047382517,
      -2.41357413388361,
      -2.432860105141734,
      -2.4529819919030653,
      -2.4738573406318256,
      -2.4954011046707287,
      -2.5175259035636306,
      -2.54014230709012,
      -2.5631591443943624,
      -2.586483837315087,
      -2.6100227563008955,
      -2.633681597195142,
      -2.657365775957668,
      -2.6809808384648077,
      -2.704432882383584,
      -2.7276289864156276,
      -2.750477643973017,
      -2.7728891960346744,
      -2.794776259783207,
      -2.8160541486946054,
      -2.83664127975499,
      -2.8564594748912713,
      -2.8754339810304375,
      -2.8934939933372372,
      -2.910573191848764,
      -2.9266100609839536,
      -2.9415481613698966,
      -2.955336370524381,
      -2.967929090936764,
      -2.9792864250978,
      -2.9893743171163862,
      -2.99816466073734,
      -3.0056353745975133,
      -3.011770491626041,
      -3.0165604589640633,
      -3.020002002570459,
      -3.022097897664889,
      -3.022856834722156,
      -3.02229329808868,
      -3.020427426071613,
      -3.017284845448057,
      -3.0128964813956127,
      -3.0072983443533614,
      -3.0005312948754765,
      -2.992640787541785,
      -2.983676595344164,
      -2.9736925099828686,
      -2.9627459829189777,
      -2.950897793995999,
      -2.938211575179423,
      -2.924753576021642,
      -2.9105924453123904,
      -2.8957988668651455,
      -2.8804451903898918,
      -2.8646050593101156,
      -2.8483530382952345,
      -2.8317642426683647,
      -2.8149139726512256,
      -2.7978773545693723,
      -2.780728991532335,
      -2.763542626147754,
      -2.7463908169924665,
      -2.729344630936178,
      -2.7124733529629617,
      -2.6958442151912543,
      -2.679522145959793,
      -2.663569540041719,
      -2.648046050497757,
      -2.63300829660384,
      -2.6185095886255088,
      -2.604599952209534,
      -2.5913260441676176,
      -2.578731055547482,
      -2.566854634487105,
      -2.5557328275988938,
      -2.5453980388436617,
      -2.5358789926119587,
      -2.527200681251511,
      -2.5193844035942456,
      -2.5124477997699257,
      -2.5064048786645583,
      -2.501266055416031,
      -2.497038197478551,
      -2.493724678624362,
      -2.4913254399309683,
      -2.489837057000649,
      -2.4892528127862055,
      -2.489562775603144,
      -2.490753882011316,
      -2.492810024422692,
      -2.495712143153612,
      -2.49943832325321,
      -2.503963895896192,
      -2.5092616047801637,
      -2.515301861245841,
      -2.522052689111028,
      -2.5294798120858895,
      -2.53754679042607,
      -2.546215126337817,
      -2.5554443994339833,
      -2.565192412847368,
      -2.5754153461538674,
      -2.586067915347601,
      -2.597103539480707,
      -2.608474514109445,
      -2.620132190912457,
      -2.6320271631834786,
      -2.644109456853502,
      -2.6563287260143325,
      -2.6686344524043504,
      -2.680976147974799,
      -2.693303559217231,
      -2.705566873033672,
      -2.7177169218901103,
      -2.7297053878086133,
      -2.741485003890287,
      -2.7530097519743477,
      -2.7642350551495687,
      -2.7751179641401698,
      -2.7856173363246683,
      -2.7956940058982487,
      -2.805310944677136,
      -2.8144334124145765,
      -2.8230290952369157,
      -2.8310682319032225,
      -2.838523727092691,
      -2.845371251063039,
      -2.851589325217647,
      -2.857159463089124,
      -2.862066344145301,
      -2.866297734912989,
      -2.869844453671963,
      -2.8727003707740804,
      -2.8748624020690006,
      -2.876330487948071,
      -2.877107557915844,
      -2.877199481050886,
      -2.8766150031916697,
      -2.8753656710600546,
      -2.8734657439002893,
      -2.8709320931431828,
      -2.8677840912199613,
      -2.864043489711666,
      -2.8597342878094163,
      -2.8548825919568563,
      -2.8495164675934364,
      -2.843665783832518,
      -2.8373620517199467,
      -2.8306382574168043,
      -2.8235286910711683,
      -2.8160687725001536,
      -2.808294874442982,
      -2.8002441447438042,
      -2.791954328066876,
      -2.7834635883810734,
      -2.77481033308503,
      -2.7660330397290624,
      -2.7571700861111728,
      -2.748259584694936,
      -2.7393392222302513,
      -2.7304461049268456,
      -2.721616610316106,
      -2.712886246037752,
      -2.704289516107033,
      -2.695859795303772,
      -2.6876292117995457,
      -2.6796285384775618,
      -2.671887092975878,
      -2.6644326468259867,
      -2.657291343410893,
      -2.650487625018291,
      -2.6440441689813543,
      -2.6379818323927617,
      -2.632319605699674,
      -2.6270745746115427,
      -2.6222618904853543,
      -2.6178947481593546,
      -2.613984372198788,
      -2.6105400101141893,
      -2.6075689327101883,
      -2.60507644154394,
      -2.6030658826368542,
      -2.6015386666334654,
      -2.6004942949005936,
      -2.5999303913516543,
      -2.5998427396941106,
      -2.6002253261184127,
      -2.601070386876043,
      -2.6023684607431,
      -2.6041084463778974,
      -2.606277663904915,
      -2.6088619208032147,
      -2.6118455821570215,
      -2.6152116447939524,
      -2.618941815266342,
      -2.62301659152426,
      -2.6274153480187117,
      -2.6321164242399955,
      -2.637097216171592,
      -2.6423342708087287,
      -2.6478034076683286,
      -2.6534798441539205,
      -2.659338245199026,
      -2.6653528152163637
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317478407280477,
      12.240241067363264,
      12.152921657813286,
      12.055846702314087,
      11.949303813229715,
      11.833563931075664,
      11.708891193693466,
      11.575533164758085,
      11.433703170079676,
      11.283633007585278,
      11.125612191462166,
      10.959967379382247,
      10.787048295584206,
      10.60727783227533,
      10.42119342857628,
      10.22945003044167,
      10.032800784985078,
      9.83209805294705,
      9.628263149905592,
      9.422253801557195,
      9.215046010736447,
      9.007594997257089,
      8.800801794295328,
      8.59547314262741,
      8.392301266854647,
      8.191848745932965,
      7.994524727120894,
      7.800579992136603,
      7.610109724182378,
      7.423062750628942,
      7.239256464254728,
      7.058395399794027,
      6.880092657584261,
      6.703885385320667,
      6.529253451680459,
      6.355644266657264,
      6.182489185257928,
      6.009217839204739,
      5.835277031046451,
      5.660147957416045,
      5.48336325606316,
      5.304527346121966,
      5.123320280865504,
      4.939505568946061,
      4.7529528744896465,
      4.563658669786263,
      4.371756057517366,
      4.177524385799771,
      3.981384408560938,
      3.783886456740229,
      3.5856917237077273,
      3.387546011458066,
      3.19024902228619,
      2.9946219663001066,
      2.8014740142753074,
      2.611570470299645,
      2.4256048959290637,
      2.2441770214942944,
      2.067777455752763,
      1.8967805566048705,
      1.7314443774419326,
      1.5719110555846316,
      1.4182148623834325,
      1.2702938509536223,
      1.128002818526611,
      0.991125312822456,
      0.8593861934171672,
      0.7324641870621729,
      0.6100034811073413,
      0.4916239655916232,
      0.37692997246151727,
      0.2655173294991729,
      0.1569799329527945,
      0.05091516142018972,
      -0.0530718984074329,
      -0.15536496083873158,
      -0.25633318506562314,
      -0.35632838536148836,
      -0.4556835927963843,
      -0.554711173550674,
      -0.6537004710939042,
      -0.7529153571570846,
      -0.8525919832355228,
      -0.9529375938235175,
      -1.0541286549489572,
      -1.1563080344802674,
      -1.259582623377883,
      -1.3640210107091086,
      -1.4696514009110464,
      -1.5764598840198614,
      -1.6843890091701825,
      -1.7933368923924426,
      -1.9031569984105041,
      -2.0136587254745626,
      -2.1246089109512476,
      -2.2357340923318656,
      -2.346723552275585,
      -2.4572343556467753,
      -2.5668968881644743,
      -2.675320984282347,
      -2.782102582185775,
      -2.886830296522413,
      -2.9890924728545545,
      -3.0884843428252635,
      -3.1846131931414643,
      -3.277103816868944,
      -3.3656039937605877,
      -3.4497885010441167,
      -3.529362450902552,
      -3.6040631740968956,
      -3.6736611704561892,
      -3.7379595256007203,
      -3.7967914320322924,
      -3.8500192332989633,
      -3.8975345897867597,
      -3.939257268437036,
      -3.9751334223466976,
      -4.005133737180772,
      -4.0292496623069205,
      -4.047490883622173,
      -4.059885740821453,
      -4.066481875388553,
      -4.067344614649722,
      -4.062553740114745,
      -4.0522035136805306,
      -4.0364032982899545,
      -4.015277515113835,
      -3.988966077021776,
      -3.9576275204921725,
      -3.9214381136580796,
      -3.880586368583763,
      -3.8352957530343224,
      -3.7858225927172664,
      -3.7324557994560426,
      -3.675513822117357,
      -3.615333913083853,
      -3.552263746400169,
      -3.486669735553383,
      -3.4189386772903507,
      -3.3494705809426426,
      -3.278679385976689,
      -3.2069691953894734,
      -3.1347323594840257,
      -3.0623541321803907,
      -2.9902045189059825,
      -2.918631056900401,
      -2.847956876800575,
      -2.7784790709013936,
      -2.7104678252080396,
      -2.644165681911001,
      -2.579787114746307,
      -2.517518242058127,
      -2.457517865587616,
      -2.3999183282521765,
      -2.3448260092134,
      -2.2923226534738905,
      -2.242477030896888,
      -2.195336896861774,
      -2.150934131265563,
      -2.109298935305314,
      -2.0704534634753275,
      -2.0344162198302103,
      -2.0011961390424684,
      -1.970792305193584,
      -1.9431972333364846,
      -1.9183970551931868,
      -1.8963773702226616,
      -1.877126620797423,
      -1.8606344416972034,
      -1.8468887740655928,
      -1.835873436647177,
      -1.8275667808968108,
      -1.8219427786997482,
      -1.8189713660945868,
      -1.8186187559371163,
      -1.8208470051777623,
      -1.8256139079824076,
      -1.832874484589726,
      -1.8425806953710937,
      -1.854680806983161,
      -1.8691191672242027,
      -1.8858356584634626,
      -1.904766112001852,
      -1.9258423098624067,
      -1.94899166197577,
      -1.9741369301841416,
      -2.0011959562811494,
      -2.030081400314578,
      -2.0607004995491636,
      -2.092954859564096,
      -2.1267402882492052,
      -2.161946683692319,
      -2.19845798558482,
      -2.236152200490783,
      -2.274901446276993,
      -2.314571952259593,
      -2.3550245334563202,
      -2.396115047549505,
      -2.437694877799888,
      -2.47961151054499,
      -2.5217092029945474,
      -2.563829733470014,
      -2.605813225079985,
      -2.6474990310379334,
      -2.6887266676305246,
      -2.7293367804461015,
      -2.7691721302799626,
      -2.808078579488746,
      -2.845906063620267,
      -2.8825092606635763,
      -2.917748061893843,
      -2.951488962752602,
      -2.98360598904661,
      -3.013981410490493,
      -3.0425063764325193,
      -3.069081530875311,
      -3.0936174662444462,
      -3.116034890321531,
      -3.136264302510638,
      -3.154246592554147,
      -3.1699331560963673,
      -3.1832862010406355,
      -3.194278964704009,
      -3.2028958440670934,
      -3.2091328249660362,
      -3.2129968141076275,
      -3.2145052620278785,
      -3.2136860176572393,
      -3.2105770065994403,
      -3.2052258472295416,
      -3.1976895004692425,
      -3.188033808587994,
      -3.1763325131638003,
      -3.1626670021962324,
      -3.1471263335285844,
      -3.1298067523048188,
      -3.110811146637759,
      -3.0902484700350676,
      -3.068233131776462,
      -3.0448843576453704,
      -3.020325406060669,
      -2.994682079250707,
      -2.968082852132227,
      -2.9406589004913632,
      -2.91254422301292,
      -2.8838735362547605,
      -2.8547813781096147,
      -2.8254019500287546,
      -2.795867768627629,
      -2.7663086895562814,
      -2.736851290005423,
      -2.7076182965784787,
      -2.6787280627195584,
      -2.650294100455592,
      -2.622424668916268,
      -2.5952224209319126,
      -2.568784109399776,
      -2.543200434288531,
      -2.518556003217598,
      -2.494929565229007,
      -2.4723938471954496,
      -2.4510153939506876,
      -2.430855438331078,
      -2.4119699151917793,
      -2.394409487539505,
      -2.3782170496702024,
      -2.3634281306856377,
      -2.3500723126199223,
      -2.338173378314384,
      -2.327749454699125,
      -2.3188130978400583,
      -2.311371502349048,
      -2.3054267122000964,
      -2.3009757706936877,
      -2.298010904355731,
      -2.296519684674191,
      -2.296485174192462,
      -2.2978860656041324,
      -2.3006967982952187,
      -2.304887669606575,
      -2.3104249717477483,
      -2.3172712589663806,
      -2.3253857102829567,
      -2.3347239276303506,
      -2.3452379335458295,
      -2.3568762868894426,
      -2.369584204069442,
      -2.3833036292360252,
      -2.3979732748886122,
      -2.413528915922995,
      -2.4299035917758403,
      -2.4470277862323484,
      -2.464829623391028,
      -2.4832350576886784,
      -2.5021680030205458,
      -2.5215506787478645,
      -2.541303951425878,
      -2.5613476189112223,
      -2.5816007102037983,
      -2.6019817999850394,
      -2.6224093356312035,
      -2.642801975004062,
      -2.6630789321777724,
      -2.6831603282827086,
      -2.7029675089910863,
      -2.722423266058601,
      -2.7414522761682,
      -2.7599814913059317,
      -2.7779404752415497,
      -2.7952617277533554,
      -2.811880993760307,
      -2.827737493637629,
      -2.8427740907678087,
      -2.8569376648075897,
      -2.870179373082514,
      -2.8824548540218595,
      -2.8937244048110236,
      -2.903953132210256,
      -2.913111075566607,
      -2.9211733790555177,
      -2.9281206079654756,
      -2.933938554946204,
      -2.9386181524044983,
      -2.942155454176032,
      -2.9445516302170947,
      -2.9458129055339515,
      -2.94595041979294,
      -2.9449801056293494,
      -2.942922548245912,
      -2.9398028238807874,
      -2.935650317789736,
      -2.9304985236985552,
      -2.924384825478184,
      -2.917350262758935,
      -2.9094392813903958,
      -2.900699470655268,
      -2.8911812887030686,
      -2.8809377775846694,
      -2.8700242588087144,
      -2.8584980014363333,
      -2.8464179551818347,
      -2.8338444553585487,
      -2.820838914045895,
      -2.8074635122228844,
      -2.7937808945892706,
      -2.779853868871912,
      -2.76574511174665,
      -2.751516882921562,
      -2.7372307492609727,
      -2.722947320145101,
      -2.708725995751304,
      -2.6946247294703505,
      -2.6806998051848354,
      -2.6670056305763254,
      -2.653594547018375,
      -2.640516656377616,
      -2.627819665168496,
      -2.6155487458955746,
      -2.6037464156033128,
      -2.592452431468807,
      -2.581703702695765,
      -2.571534189721089,
      -2.5619748428433295,
      -2.553053589426978,
      -2.5447953067354816,
      -2.5372218063059035,
      -2.530351829934073,
      -2.524201056772817,
      -2.5187821204470566,
      -2.514104635524625,
      -2.510175232265434,
      -2.5069975989820485,
      -2.5045725317642216,
      -2.502897990372492,
      -2.5019691601986143,
      -2.5017785196064404,
      -2.502315912654888,
      -2.5035686265667945,
      -2.5055214739384226,
      -2.508156879621647,
      -2.5114549719121797,
      -2.515393678260058,
      -2.5199488254772318,
      -2.5250942444192863,
      -2.5308018837376434,
      -2.537041946358477,
      -2.543782992529319,
      -2.5509920741073313,
      -2.5586349498926877,
      -2.5666761266880034,
      -2.575078951975886,
      -2.5838057537891843,
      -2.592817984869815,
      -2.602076370682788,
      -2.611541061109517,
      -2.621171784858085,
      -2.630928006850373,
      -2.6407690874491423,
      -2.6506544429277397,
      -2.6605437067990407,
      -2.670396890975479,
      -2.6801745459838187,
      -2.689837919440938,
      -2.699349112240394,
      -2.7086712310866967,
      -2.7177685369149227,
      -2.7266065882958146,
      -2.735152378551409,
      -2.743374466643485,
      -2.75124310067589,
      -2.758730422938218,
      -2.765810579097355,
      -2.7724597278109964,
      -2.7786561257495825,
      -2.7843802019854893,
      -2.7896146220323392,
      -2.7943443401796135,
      -2.79855664117448,
      -2.8022411877490043,
      -2.8053900435288437,
      -2.8079976593969933,
      -2.810060867222813,
      -2.8115788639119743,
      -2.812553184238301,
      -2.812987663140024,
      -2.8128883874298496,
      -2.812263637533047,
      -2.8111238194866752,
      -2.8094813879903557,
      -2.8073507608875596,
      -2.804748225422901,
      -2.801691837323352,
      -2.7982013128479357,
      -2.7942979150531126,
      -2.7900043344581738,
      -2.7853445650855835,
      -2.780343776417841,
      -2.7750281822128047,
      -2.7694249070083106,
      -2.7635618507746416,
      -2.7574675525362955,
      -2.751171053708954,
      -2.7447017620461245,
      -2.7380893167239666,
      -2.7313634553330295,
      -2.724553883246193,
      -2.717690146063024,
      -2.710801505802855,
      -2.703916821358027,
      -2.6970644335575256,
      -2.690272055278597,
      -2.683566667182041,
      -2.676974419298121,
      -2.670520538520502,
      -2.6642292427585303,
      -2.658123661335662,
      -2.652225762070205,
      -2.646556285305714,
      -2.6411346846107455,
      -2.6359790741367504,
      -2.631106182970976,
      -2.6265313159766746,
      -2.6222683210951665,
      -2.618329563341263,
      -2.6147259050158076,
      -2.6114666919749943,
      -2.60855974601122,
      -2.6060113628315267,
      -2.603826315698407,
      -2.602007864361123,
      -2.6005577692857553,
      -2.599476310734682,
      -2.598762312680288,
      -2.598413171159537,
      -2.5984248871119187,
      -2.5987921035944326,
      -2.5995081465080547,
      -2.6005650694748588,
      -2.601953702464476,
      -2.603663703439003,
      -2.6056836137876287,
      -2.608000916539768,
      -2.6106020975643114,
      -2.613472709754486,
      -2.6165974395305396,
      -2.619960175747956,
      -2.62354408086088,
      -2.627331663950998,
      -2.631304855677697,
      -2.6354450845567845,
      -2.6397333545970185,
      -2.6441503240041704,
      -2.648676384698781,
      -2.653291742048249
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239687377561847,
      12.151198787619112,
      12.052368503368465,
      11.943550676713555,
      11.825078813689895,
      11.697274795256204,
      11.56043674312319,
      11.414825243673162,
      11.260722094657474,
      11.098457588564967,
      10.928389786281414,
      10.750911402978518,
      10.56649941171777,
      10.37575785090614,
      10.179403504402394,
      9.978250299148153,
      9.773207038323216,
      9.56523532023055,
      9.355330034883375,
      9.144496816714021,
      8.93370761020021,
      8.72385867304473,
      8.515753020891532,
      8.310065729449509,
      8.107318580664888,
      7.90786846787436,
      7.711906700668063,
      7.519466886186189,
      7.3304377966208225,
      7.144580536936602,
      6.961546104380911,
      6.780894558819684,
      6.602121330475727,
      6.424679741793591,
      6.247999690761473,
      6.071509708993636,
      5.894646743120639,
      5.716869245822661,
      5.537683684301302,
      5.356678401746169,
      5.173524475928816,
      4.987962245674523,
      4.799830765259264,
      4.6090948100305935,
      4.415858239889197,
      4.220374254847132,
      4.023041576328153,
      3.8243934013007714,
      3.625079474112685,
      3.4258384541251234,
      3.227467988919859,
      3.0307922697866623,
      2.8366281537919513,
      2.6457524124298892,
      2.458873025720119,
      2.276605805615973,
      2.099459114395777,
      1.9278270348991742,
      1.7619836567062082,
      1.6020859630836668,
      1.4481819504881572,
      1.3002224546065289,
      1.1580737104874015,
      1.0215288361362496,
      0.8903215598209991,
      0.7641387115686291,
      0.6426316988469992,
      0.5254264080271603,
      0.41213274688253,
      0.30235243356168723,
      0.19568526619153204,
      0.09173425280242976,
      -0.009890224582229129,
      -0.10956703367118452,
      -0.20766159235342527,
      -0.3045239491036348,
      -0.4004861346513267,
      -0.49585929454502436,
      -0.5909327488363018,
      -0.6859726575740384,
      -0.7812208324645913,
      -0.8768936369143162,
      -0.973179816852116,
      -1.0702383683997918,
      -1.168196646206666,
      -1.2671484567250226,
      -1.3671520989314003,
      -1.4682286622584964,
      -1.570360640587252,
      -1.673490788698541,
      -1.777521418662357,
      -1.8823141526877107,
      -1.9876905471992443,
      -2.093433534079501,
      -2.1992891677002966,
      -2.3049695565922645,
      -2.410157311712277,
      -2.514510269030361,
      -2.617666823445616,
      -2.7192514977713476,
      -2.8188808851755724,
      -2.916170240448478,
      -3.0107394955405535,
      -3.102217745262605,
      -3.1902488596270993,
      -3.2744970103802578,
      -3.3546504523921117,
      -3.4304244645381967,
      -3.501563439653771,
      -3.5678421574512353,
      -3.6290640193039883,
      -3.6850599729029145,
      -3.735690787619935,
      -3.780846113857719,
      -3.8204433677979974,
      -3.8544264170945013,
      -3.882763760256739,
      -3.90544517540083,
      -3.922480957229555,
      -3.9339017023359886,
      -3.9397583315101277,
      -3.9401200290905916,
      -3.935072257879066,
      -3.924715970452111,
      -3.9091682910979593,
      -3.8885623751595655,
      -3.8630476317647022,
      -3.8327908574686376,
      -3.797977598576896,
      -3.7588049333346807,
      -3.7154997696962453,
      -3.6683220265865417,
      -3.617560213922939,
      -3.5635306139311997,
      -3.5065680568941535,
      -3.447016023119813,
      -3.3852256295129264,
      -3.3215642770619587,
      -3.2564056645087387,
      -3.1901293771832266,
      -3.1231219294060764,
      -3.0557535206502044,
      -2.988372936825367,
      -2.921311589783911,
      -2.8548849646832317,
      -2.7893868821251715,
      -2.725084506776095,
      -2.6622185407793815,
      -2.6010029983989984,
      -2.5416247992609207,
      -2.4842437961728474,
      -2.428998584470732,
      -2.376008367662645,
      -2.3253674365932224,
      -2.277145942233884,
      -2.2314029316644084,
      -2.1881919949799102,
      -2.1475543323871973,
      -2.10952574341706,
      -2.0741321218194133,
      -2.041387917462743,
      -2.011297538519239,
      -1.9838590889156356,
      -1.9590642957385582,
      -1.936906321753755,
      -1.9173790089437497,
      -1.90047590196562,
      -1.8861880067047327,
      -1.8745013562841901,
      -1.8653961433059905,
      -1.8588476406676258,
      -1.854826803830382,
      -1.8533006071290397,
      -1.8542322762121235,
      -1.857580961721361,
      -1.863301414692961,
      -1.8713453900624264,
      -1.8816613863787826,
      -1.8941941991965938,
      -1.9088849980145846,
      -1.9256706706163846,
      -1.9444838742174528,
      -1.9652533557590857,
      -1.9879036935999037,
      -2.0123550854814516,
      -2.038523164196397,
      -2.066318829755209,
      -2.095648107598626,
      -2.1264120412347163,
      -2.158506628899771,
      -2.1918228121076626,
      -2.2262464885688096,
      -2.2616584410006997,
      -2.297934630193057,
      -2.3349465728910164,
      -2.372561683931868,
      -2.4106436973370595,
      -2.4490531638936086,
      -2.4876480232951486,
      -2.5262842436607125,
      -2.564816522466425,
      -2.603099039497985,
      -2.640986251150301,
      -2.6783337150094746,
      -2.7149989320208663,
      -2.7508421935079115,
      -2.785727254395318,
      -2.819521657226996,
      -2.8520980030221033,
      -2.8833348660247786,
      -2.9131174966970472,
      -2.9413384659185335,
      -2.967898308247157,
      -2.9927060390606264,
      -3.015679442123762,
      -3.036744884032035,
      -3.055837855715451,
      -3.0729035786205294,
      -3.087897127643977,
      -3.1007831976019125,
      -3.111536460539344,
      -3.1201422390308675,
      -3.126595929909063,
      -3.1309027262220783,
      -3.1330774413835165,
      -3.13314432596267,
      -3.1311368942131157,
      -3.1270975299928234,
      -3.121077122900718,
      -3.1131347000569463,
      -3.1033370250647985,
      -3.0917579967440103,
      -3.078477675511148,
      -3.063582338508892,
      -3.047164186440867,
      -3.0293208036091697,
      -3.010154592707919,
      -2.9897721874138123,
      -2.9682838455302964,
      -2.9458028266667715,
      -2.922444738603997,
      -2.8983256892002003,
      -2.873562008685826,
      -2.84827123125963,
      -2.822571325376153,
      -2.7965803894371333,
      -2.7704157052335985,
      -2.7441924548315817,
      -2.718023215190881,
      -2.6920174174347222,
      -2.6662808508031337,
      -2.6409152498550896,
      -2.616017975634435,
      -2.5916817167849087,
      -2.5679941822470163,
      -2.545038055277107,
      -2.522891194543685,
      -2.501626265421276,
      -2.4813112343804513,
      -2.4620093305639426,
      -2.443778033785757,
      -2.42666746942674,
      -2.4107212155985644,
      -2.3959773025977094,
      -2.3824683000132594,
      -2.370221420901884,
      -2.3592586121507972,
      -2.349596619521501,
      -2.341247194978775,
      -2.334217259860353,
      -2.328509049123044,
      -2.3241202560143956,
      -2.321044175977743,
      -2.3192698479735725,
      -2.3187821931622055,
      -2.31956215020124,
      -2.3215868070767804,
      -2.324829529775942,
      -2.329260088445503,
      -2.334844785801899,
      -2.341546631818205,
      -2.349325451773192,
      -2.3581381434306814,
      -2.3679388553367207,
      -2.378678881950014,
      -2.390306713557735,
      -2.4027680991522846,
      -2.4160063338233106,
      -2.4299624526226484,
      -2.4445754037559975,
      -2.4597822335477004,
      -2.475518283447528,
      -2.491717398934665,
      -2.50831215136594,
      -2.525234071758649,
      -2.542413896407951,
      -2.559781823134789,
      -2.5772677775650443,
      -2.5948016875727538,
      -2.612313764906682,
      -2.629734791742651,
      -2.646996410232829,
      -2.6640314130804215,
      -2.6807740331359113,
      -2.6971602292067973,
      -2.713127966236912,
      -2.728617487340016,
      -2.743571575657619,
      -2.757935803949094,
      -2.7716587699947692,
      -2.7846922547884083,
      -2.796991335762536,
      -2.8085146845426574,
      -2.819224759669413,
      -2.8290880630154813,
      -2.838075398490962,
      -2.846161768850478,
      -2.8533264037276895,
      -2.8595528101153516,
      -2.8648287995025927,
      -2.8691464925216428,
      -2.872502301611085,
      -2.874896896317439,
      -2.8763351847240455,
      -2.8768262162873453,
      -2.8763830478812316,
      -2.875022623689827,
      -2.8727656370091035,
      -2.869636375847659,
      -2.865662552383103,
      -2.860875118029448,
      -2.8553080656604974,
      -2.848998219253876,
      -2.8419850134253433,
      -2.834310263302235,
      -2.8260179269003585,
      -2.8171538610579963,
      -2.807765572362483,
      -2.797901965084241,
      -2.787613086998153,
      -2.7769498751154296,
      -2.7659639027498613,
      -2.7547071293386534,
      -2.743231652132418,
      -2.731589456914982,
      -2.719832195665027,
      -2.7080109677219326,
      -2.696176103699476,
      -2.6843769596916127,
      -2.6726617229318026,
      -2.6610772291405187,
      -2.6496687901758613,
      -2.638480024744998,
      -2.627552719410595,
      -2.616926704593979,
      -2.606639738384837,
      -2.5967274041420527,
      -2.5872230215334087,
      -2.578157570536856,
      -2.569559628321479,
      -2.5614553184434175,
      -2.5538682718045425,
      -2.5468195990771507,
      -2.5403278733960746,
      -2.53440912341899,
      -2.5290768356485813,
      -2.524341965571318,
      -2.520212957026669,
      -2.5166957692900516,
      -2.5137939109999543,
      -2.5115084806789443,
      -2.5098382134338597,
      -2.5087795334372798,
      -2.508326611328545,
      -2.508471427039784,
      -2.509203836867065,
      -2.5105116454538083,
      -2.5123806816633834,
      -2.5147948786730705,
      -2.5177363579396737,
      -2.5211855172177446,
      -2.5251211220392817,
      -2.5295204010403336,
      -2.534359165251881,
      -2.539611909081503,
      -2.545251893980417,
      -2.5512512569563133,
      -2.5575811224789105,
      -2.5642117171618017,
      -2.571112487283138,
      -2.578252218736557,
      -2.5855991592918817,
      -2.5931211425699097,
      -2.6007857135728703,
      -2.608560255516205,
      -2.61641211715363,
      -2.624308740202825,
      -2.6322177866431864,
      -2.64010726490764,
      -2.647945654951027,
      -2.6557020309555135,
      -2.663346181860959,
      -2.6708487282654234,
      -2.678181235630876,
      -2.6853163233196087,
      -2.692227768633191,
      -2.698890605112407,
      -2.705281215135025,
      -2.71137741605548,
      -2.717158539054922,
      -2.72260550091848,
      -2.727700868127379,
      -2.732428912818398,
      -2.736775660561485,
      -2.7407289295426867,
      -2.7442783612437673,
      -2.747415445604389,
      -2.7501335518701175,
      -2.75242792350553,
      -2.7542956621183574,
      -2.7557357143158923,
      -2.7567488498959407,
      -2.757337632250583,
      -2.757506380454721,
      -2.757261123901485,
      -2.7566095497254444,
      -2.755560943063136,
      -2.7541261208982233,
      -2.7523173597883157,
      -2.7501483182083737,
      -2.747633953460077,
      -2.744790434240844,
      -2.7416350490227903,
      -2.7381861109700947,
      -2.7344628597841054,
      -2.73048536113327,
      -2.7262744043851224,
      -2.7218513989310944,
      -2.7172382698306556,
      -2.712457353144137,
      -2.7075312916252527,
      -2.702482931588794,
      -2.697335220486409,
      -2.6921111069994157,
      -2.68683344294682,
      -2.68152488809445,
      -2.676207818062954,
      -2.6709042354333064,
      -2.6656356850379668,
      -2.660423172897648,
      -2.655287089609762,
      -2.6502471385074613,
      -2.6453222681420994,
      -2.6405306099349684,
      -2.6358894207738883,
      -2.631415030327495,
      -2.6271227940960884,
      -2.6230270511826674,
      -2.6191410872710517,
      -2.6154771027170187,
      -2.6120461858414434,
      -2.6088582910906197,
      -2.6059222221192724,
      -2.6032456198385994,
      -2.6008349550276613,
      -2.598695525451817,
      -2.5968314575016485,
      -2.595245712230694,
      -2.5939400953352556,
      -2.59291527120072,
      -2.592170780906883,
      -2.5917050637775803,
      -2.5915154824402107,
      -2.591598351334214,
      -2.5919489685302497,
      -2.5925616503394218,
      -2.5934297690812715,
      -2.594545793385736,
      -2.59590133124181,
      -2.5974871751132707,
      -2.599293349761357,
      -2.601309161782284,
      -2.6035232511865094,
      -2.60592364488274,
      -2.608497811441094,
      -2.6112327172663603,
      -2.614114884076932,
      -2.617130447297712,
      -2.6202652154753125,
      -2.6235047298255822,
      -2.6268343246680224,
      -2.6302391876886935,
      -2.633704420313365
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.150681983682102,
      12.050790143028653,
      11.940393264538407,
      11.819889520323997,
      11.689660211280628,
      11.55005593436699,
      11.401385981699422,
      11.243982418847798,
      11.078217524505064,
      10.904478853431048,
      10.723198710447212,
      10.534903370465967,
      10.340253011697785,
      10.140017984816978,
      9.935065707470127,
      9.72634725818204,
      9.514855188886429,
      9.301625991366985,
      9.087692564457384,
      8.874038321294101,
      8.66157324843811,
      8.45109258947258,
      8.243243811242486,
      8.03851016553732,
      7.83720485443371,
      7.639471238313683,
      7.445292489219959,
      7.254505572954604,
      7.066819739698001,
      6.8818399523017835,
      6.699091943456058,
      6.518047216835116,
      6.338148992365183,
      6.158825722832898,
      5.9795010661769235,
      5.799608051777678,
      5.6186266011106945,
      5.4361151409016735,
      5.251715235755122,
      5.065139583974302,
      4.876182556779734,
      4.684756903385339,
      4.490914190258846,
      4.2948558691509575,
      4.096933241118276,
      3.8976387247799433,
      3.6975897468796277,
      3.4975020607225646,
      3.298160238449524,
      3.100386081050552,
      2.9050045673527842,
      2.7128103365869722,
      2.524537114102652,
      2.3408327702487384,
      2.162243455395672,
      1.989201616630341,
      1.8220184767084155,
      1.6608856072565752,
      1.505882839630698,
      1.356990384259051,
      1.2141008468329726,
      1.0770302850767104,
      0.945531428332827,
      0.8193067582277405,
      0.6980203997779909,
      0.58130936586226,
      0.4687929161303788,
      0.3600804594730653,
      0.25477809718243283,
      0.15249395296650875,
      0.052842460462125415,
      -0.0445522360871439,
      -0.1400535444231561,
      -0.23400952396704983,
      -0.326751629944691,
      -0.4185934134521957,
      -0.5098288527197572,
      -0.6007307015506265,
      -0.69154923589803,
      -0.7825121453375201,
      -0.8738228012146865,
      -0.9656586811557112,
      -1.0581698782040794,
      -1.151477552506026,
      -1.2456723597131074,
      -1.340812812033493,
      -1.4369237896428668,
      -1.533995386839548,
      -1.631981913057882,
      -1.7308012414533969,
      -1.830334617508195,
      -1.9304270205149285,
      -2.0308881592969845,
      -2.131493789335717,
      -2.2319878979142533,
      -2.3320863986611724,
      -2.4314810493629375,
      -2.5298438358671955,
      -2.626831546912619,
      -2.722091219257835,
      -2.81526583011002,
      -2.90599966949841,
      -2.9939423582012927,
      -3.07875400895945,
      -3.1601107317813373,
      -3.2377084821717124,
      -3.311266229590581,
      -3.380528410676158,
      -3.4452656030202573,
      -3.5052743482936375,
      -3.5603780618431076,
      -3.610428550311286,
      -3.6553055746948133,
      -3.694916201231391,
      -3.729193924031036,
      -3.7580973725503837,
      -3.78160733079954,
      -3.7997264171400214,
      -3.812479461362002,
      -3.819911541202428,
      -3.822086819628339,
      -3.819087744700614,
      -3.8110131378430916,
      -3.797978040219061,
      -3.780113992002836,
      -3.757568946165926,
      -3.7305071284678197,
      -3.699110462384569,
      -3.663576031108294,
      -3.624113871459893,
      -3.580967120481243,
      -3.5344059655670015,
      -3.4847262024060592,
      -3.432244776896343,
      -3.377292936488153,
      -3.320205698630089,
      -3.261320201490211,
      -3.200982036537616,
      -3.1395420525684825,
      -3.0773429422241145,
      -3.0147257960590803,
      -2.9520284198578883,
      -2.8895692710062915,
      -2.827644559954057,
      -2.7665274079557767,
      -2.706467196358481,
      -2.6476891067038553,
      -2.590393967565858,
      -2.5347584238973346,
      -2.4809353898500657,
      -2.4290547619798453,
      -2.3792252566372256,
      -2.33154238473908,
      -2.2860912541690417,
      -2.242940394172727,
      -2.2021483780061977,
      -2.1637656995288013,
      -2.127830031309678,
      -2.094366526742791,
      -2.0633894880179104,
      -2.034906351672863,
      -2.0089166989292098,
      -1.9854207792923697,
      -1.9644189872867646,
      -1.9459097706847959,
      -1.929888937764175,
      -1.9163480313480172,
      -1.9052726093806127,
      -1.8966423124544214,
      -1.890431896424265,
      -1.8866117744238717,
      -1.8851483115001602,
      -1.886004056807414,
      -1.8891378566968708,
      -1.8945043379715332,
      -1.902054030422965,
      -1.9117343102226945,
      -1.923489287619756,
      -1.9372595962148411,
      -1.952982256852035,
      -1.9705901132014763,
      -1.9900119315533382,
      -2.0111727140931874,
      -2.033993505300893,
      -2.0583912550425634,
      -2.0842787195946326,
      -2.1115643867482365,
      -2.1401524324542924,
      -2.16994271598863,
      -2.2008307513542325,
      -2.2327076392497474,
      -2.2654603896734566,
      -2.298972184486884,
      -2.333122649665167,
      -2.3677881914399834,
      -2.4028423961389453,
      -2.438156491627204,
      -2.4735998676094977,
      -2.5090406495332154,
      -2.5443463198265737,
      -2.579384379068577,
      -2.6140230385692442,
      -2.6481319348127865,
      -2.6815828557024006,
      -2.7142500730739703,
      -2.7460109932726757,
      -2.7767472881904363,
      -2.806345596117259,
      -2.834698166642932,
      -2.8617034827659733,
      -2.887266880904924,
      -2.9113009883767704,
      -2.9337258520864578,
      -2.9544690162787304,
      -2.9734663122718903,
      -2.990662214995718,
      -3.0060100408871553,
      -3.0194721479022215,
      -3.03102035421829,
      -3.040635459296501,
      -3.048307201049736,
      -3.0540342758533865,
      -3.05782420895554,
      -3.0596931807705956,
      -3.0596658293248162,
      -3.057775086720464,
      -3.0540618329401163,
      -3.0485745122292807,
      -3.0413687751287215,
      -3.0325070901408706,
      -3.0220583269799515,
      -3.010097309954208,
      -2.9967039481831836,
      -2.981962739672047,
      -2.9659627359904928,
      -2.9487970394142557,
      -2.9305622622588365,
      -2.9113579737151545,
      -2.8912861377585735,
      -2.8704505458679934,
      -2.8489562490064535,
      -2.826908992875418,
      -2.8044146610902847,
      -2.7815779402268435,
      -2.7585019408926534,
      -2.7352886346290632,
      -2.712038383110831,
      -2.6888494810946817,
      -2.66581772853599,
      -2.643036035028616,
      -2.620594058488946,
      -2.598577879969887,
      -2.577069715714793,
      -2.5561476668520604,
      -2.535885506581958,
      -2.5163524731839106,
      -2.497612298818362,
      -2.4797230021389978,
      -2.462737216879639,
      -2.4467024707758496,
      -2.431661295705083,
      -2.4176512600842406,
      -2.404705022152667,
      -2.3928503781946104,
      -2.382110290195007,
      -2.3725030466299994,
      -2.3640423915161777,
      -2.3567376408107843,
      -2.3505938045483483,
      -2.3456117126429676,
      -2.3417881428003042,
      -2.339115949303175,
      -2.337584191782334,
      -2.3371782635038105,
      -2.337880018834105,
      -2.339667899382196,
      -2.3425170594342015,
      -2.346399490459059,
      -2.351284161811833,
      -2.357137193680146,
      -2.363921932623233,
      -2.3715990615168128,
      -2.380126730319757,
      -2.3894606824737874,
      -2.3995543028020063,
      -2.4103589490641846,
      -2.421824125020173,
      -2.4338975230576603,
      -2.4465251907153176,
      -2.459651705171057,
      -2.4732203559626256,
      -2.4871733362925452,
      -2.501451942651363,
      -2.515996782397461,
      -2.5307479886802153,
      -2.545645442145104,
      -2.5606289985355484,
      -2.575638720938476,
      -2.590615115372795,
      -2.6054993687191272,
      -2.6202335868856044,
      -2.634761032413336,
      -2.649026358882295,
      -2.662975841399809,
      -2.676557600817498,
      -2.689721820535396,
      -2.7024209537278834,
      -2.7146099199383826,
      -2.726246357517017,
      -2.7372909126884495,
      -2.747707147089021,
      -2.7574616360130992,
      -2.766524195523394,
      -2.7748679877825286,
      -2.7824696083251528,
      -2.7893091551753866,
      -2.795370279412768,
      -2.8006402170224685,
      -2.805109801790351,
      -2.8087734602438683,
      -2.8116291879976303,
      -2.8136785085484672,
      -2.8149264406073304,
      -2.8153814406716875,
      -2.815055271966822,
      -2.813962891306157,
      -2.8121223276831246,
      -2.8095545474636365,
      -2.806283307448873,
      -2.8023349961742294,
      -2.7977384650663795,
      -2.7925248503973856,
      -2.786727387281743,
      -2.7803812165494803,
      -2.773523186262465,
      -2.7661916488351967,
      -2.758426254674967,
      -2.7502677443200607,
      -2.741757739719452,
      -2.7329385359873997,
      -2.7238528950368956,
      -2.714543842276413,
      -2.705054466942532,
      -2.695427727596474,
      -2.685706263910627,
      -2.6759322150771263,
      -2.6661470461233567,
      -2.656391382788584,
      -2.6467048553593266,
      -2.6371259523126027,
      -2.627691883995476,
      -2.6184384566602117,
      -2.60939995739067,
      -2.6006090496571317,
      -2.5920966796106337,
      -2.583891993403163,
      -2.5760222649822917,
      -2.568512834555897,
      -2.561387057047817,
      -2.5546662606023642,
      -2.5483697147943434,
      -2.5425146076581853,
      -2.5371160315889774,
      -2.5321869776665826,
      -2.527738337688538,
      -2.5237789136266886,
      -2.5203154341239995,
      -2.517352577580979,
      -2.5148930011906194,
      -2.5129373757588427,
      -2.51148442606523,
      -2.510530976187382,
      -2.510071999540824,
      -2.510100673260149,
      -2.510608436876632,
      -2.511585054965111,
      -2.51301868347981,
      -2.5148959396700254,
      -2.517201975202222,
      -2.5199205527632267,
      -2.5230341255361304,
      -2.5265239215646966,
      -2.5303700471652393,
      -2.5345515675084074,
      -2.5390465811154592,
      -2.5438323122209856,
      -2.5488852051049937,
      -2.5541810203396285,
      -2.5596949328239242,
      -2.565401631404823,
      -2.5712754192967924,
      -2.577290315452405,
      -2.5834201567299226,
      -2.5896387001149876,
      -2.5959197247630077,
      -2.6022371338310326,
      -2.6085650550530652,
      -2.6148779401871667,
      -2.6211506629102557,
      -2.6273586144155168,
      -2.6334777963888474,
      -2.639484911363427,
      -2.6453574492008367,
      -2.6510737699736966,
      -2.6566131828427864,
      -2.6619560201975836,
      -2.66708370687577,
      -2.671978824216808,
      -2.676625168443323,
      -2.6810078030898747,
      -2.6851131058092363,
      -2.6889288086400565,
      -2.6924440317917897,
      -2.6956493107033075,
      -2.6985366169782217,
      -2.70109937233201,
      -2.703332465197431,
      -2.705232260026622,
      -2.7067965755024646,
      -2.7080246688079326,
      -2.7089172165337954,
      -2.7094762893034114,
      -2.709705320252286,
      -2.7096090678120976,
      -2.7091935733792623,
      -2.7084661135605255,
      -2.7074351475025464,
      -2.7061102596351114,
      -2.7045020988143413,
      -2.702622313118098,
      -2.7004834815732175,
      -2.6980990429403393,
      -2.6954832216444675,
      -2.692650952069833,
      -2.689617800767379,
      -2.686399887628856,
      -2.683013805891459,
      -2.6794765419561775,
      -2.675805395060374,
      -2.6720178972741624,
      -2.668131734461766,
      -2.664164667772554,
      -2.6601344572008383,
      -2.656058786578422,
      -2.651955190749055,
      -2.647840984921576,
      -2.6437331968176543,
      -2.6396485017284235,
      -2.635603160500216,
      -2.631612961034473,
      -2.6276931630033378,
      -2.623858446021848,
      -2.6201228618295964,
      -2.616499790098539,
      -2.613001898076053,
      -2.609641104253527,
      -2.606428545852254,
      -2.603374550105441,
      -2.6004886098842204,
      -2.5977793629047334,
      -2.59525457488343,
      -2.592921126412213,
      -2.5907850036437177,
      -2.5888512927158955,
      -2.5871241777071132,
      -2.5856069418060197,
      -2.5843019722628666,
      -2.5832107682845167,
      -2.5823339522001283,
      -2.5816712837124136,
      -2.581221676841011,
      -2.5809832198994984,
      -2.5809531976751536,
      -2.5811281167826516,
      -2.5815037327702592,
      -2.582075079817425,
      -2.5828365025132145,
      -2.583781689379292,
      -2.5849037084092847,
      -2.586195044359321,
      -2.5876476374953445,
      -2.5892529236011477,
      -2.59100187527669,
      -2.592885044755403,
      -2.59489260686271,
      -2.5970144034553315,
      -2.5992399883876236,
      -2.6015586726559605,
      -2.6039595699804683,
      -2.606431642670552,
      -2.6089637473882665,
      -2.611544680750397
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.050153186335681,
      11.938694454703922,
      11.816683952970779,
      11.684564072616835,
      11.542739000855924,
      11.391569189602441,
      11.231433484474167,
      11.062741080180816,
      10.885908267390354,
      10.70140374244194,
      10.509801252795981,
      10.311815397797073,
      10.108261355122725,
      9.900052419891038,
      9.688168449457903,
      9.473643046732201,
      9.25754920042051,
      9.040941749870115,
      8.82482797814633,
      8.610120531245204,
      8.397598886817873,
      8.187886571014651,
      7.981436102548086,
      7.7785218416792405,
      7.579243280356475,
      7.38353673962595,
      7.191194645405865,
      7.001887007861161,
      6.815189301543951,
      6.630611414184103,
      6.447616762081532,
      6.265633768593455,
      6.084078367993183,
      5.902365073206826,
      5.719946742891103,
      5.536342320320831,
      5.3511465248416155,
      5.1640369883149955,
      4.974767500307632,
      4.783187248748209,
      4.589278468192237,
      4.393170240130891,
      4.195146116440569,
      3.995635735401823,
      3.7952047753705123,
      3.594529663883906,
      3.3943690745342656,
      3.195533343670747,
      2.9988510607307366,
      2.8051348569541656,
      2.61514924506482,
      2.429583520378017,
      2.249033328232149,
      2.073983117383587,
      1.9047972498623091,
      1.7417192347628785,
      1.5848764698142308,
      1.434291131634599,
      1.289894315328496,
      1.1515361847953156,
      1.0189975499217028,
      0.8920037809763911,
      0.770238357882062,
      0.6533542639306789,
      0.540983847976662,
      0.43274681185763514,
      0.32825714789278954,
      0.22712886960193512,
      0.12898060752887897,
      0.03343930080494799,
      -0.0598567988316816,
      -0.15125608021080988,
      -0.2410918832359794,
      -0.32968110334387407,
      -0.4173227407867322,
      -0.5042968352502524,
      -0.5908640662795485,
      -0.6772653911555468,
      -0.7637200444177711,
      -0.8504238568883856,
      -0.9375489351059574,
      -1.0252426499885525,
      -1.1136264035564951,
      -1.2027943533092293,
      -1.2928120990797105,
      -1.3837153160020728,
      -1.4755087258837427,
      -1.5681652162027815,
      -1.6616251489322424,
      -1.7557960089523441,
      -1.8505524731476988,
      -1.9457369729521998,
      -2.0411607003612766,
      -2.136604805990988,
      -2.2318230877307914,
      -2.3265452413772514,
      -2.4204802378101196,
      -2.513320042395386,
      -2.604744333138939,
      -2.694425271222817,
      -2.7820323089364156,
      -2.8672360981645792,
      -2.9497125631744803,
      -3.029148433327797,
      -3.105245338066422,
      -3.1777232195479836,
      -3.246322450562077,
      -3.3108054744314783,
      -3.3709592612251904,
      -3.4265951843678577,
      -3.4775504823377017,
      -3.523689008797806,
      -3.5649009740360653,
      -3.6011025869578575,
      -3.63223549218675,
      -3.658264618230278,
      -3.6791766430205417,
      -3.694981567642981,
      -3.705711379987412,
      -3.7114170504024977,
      -3.7121685079807745,
      -3.708054100882338,
      -3.6991787763319484,
      -3.685663498129511,
      -3.667645572853295,
      -3.6452784835136667,
      -3.618731728069072,
      -3.588190849281472,
      -3.5538546725964615,
      -3.5159338727377465,
      -3.474666736025839,
      -3.430317331016494,
      -3.383170650469622,
      -3.333530145871018,
      -3.281712031202656,
      -3.22803741826676,
      -3.1728253781699194,
      -3.1163930682214294,
      -3.0590583353279,
      -3.001139114626083,
      -2.942942053134165,
      -2.884759655956502,
      -2.826869490477009,
      -2.7695356325740037,
      -2.713003421719914,
      -2.657496723885526,
      -2.603217288643508,
      -2.5503450284721807,
      -2.4990390133569593,
      -2.4494416946663957,
      -2.4016784069967696,
      -2.3558557643244264,
      -2.3120639024084455,
      -2.270383530740865,
      -2.230883045987487,
      -2.193617245029667,
      -2.1586274598027746,
      -2.1259427134723,
      -2.0955834724757696,
      -2.0675612544138926,
      -2.041883718943519,
      -2.018558670095667,
      -1.997592094523953,
      -1.9789866032260508,
      -1.9627412534234925,
      -1.9488499242119677,
      -1.937300534357328,
      -1.9280745538691424,
      -1.921148516341966,
      -1.9164944663287065,
      -1.9140802705367201,
      -1.9138698734294413,
      -1.9158234995646672,
      -1.9198977724768107,
      -1.9260453296225026,
      -1.9342144637534786,
      -1.9443502463167852,
      -1.9563948841426948,
      -1.9702872312019037,
      -1.9859627286394592,
      -2.0033531624343928,
      -2.022386272438792,
      -2.0429861753812846,
      -2.0650734286676213,
      -2.0885649114657245,
      -2.113373786656637,
      -2.139409493014833,
      -2.1665777317623864,
      -2.194780361526141,
      -2.2239156101083037,
      -2.2538783136569776,
      -2.2845601146502585,
      -2.3158497105866793,
      -2.347633155095917,
      -2.379794210649734,
      -2.412214751971337,
      -2.4447752174961543,
      -2.477355105056653,
      -2.509833507030026,
      -2.542089678958555,
      -2.5740036349025566,
      -2.605456761687313,
      -2.6363320778036416,
      -2.6665148326111243,
      -2.6958935042433056,
      -2.7243604226617766,
      -2.7518123653556454,
      -2.778151159329551,
      -2.8032842602246455,
      -2.827125181421296,
      -2.8495935950925277,
      -2.870615597708698,
      -2.8901244642284403,
      -2.9080609881045576,
      -2.924373725948671,
      -2.939019349208825,
      -2.951963154509093,
      -2.9631787266675387,
      -2.9726477623850878,
      -2.980359751319043,
      -2.986312139651976,
      -2.9905103696897934,
      -2.9929677278474753,
      -2.9937051531501884,
      -2.992751042221341,
      -2.9901410658394676,
      -2.9859177800597307,
      -2.980130270173348,
      -2.972833794638378,
      -2.964089402695118,
      -2.953963528142117,
      -2.942527561285211,
      -2.9298573967102737,
      -2.916032841049183,
      -2.901136894647713,
      -2.8852555512066966,
      -2.868477465744955,
      -2.8508934526006313,
      -2.832595980890893,
      -2.8136786709762354,
      -2.794235795550891,
      -2.7743618081052572,
      -2.7541508614211025,
      -2.733696320095917,
      -2.7130903155115718,
      -2.6924233241285007,
      -2.671783770835022,
      -2.6512576593411956,
      -2.630928232346532,
      -2.610875662721831,
      -2.591176776900672,
      -2.571904811133379,
      -2.5531292208971386,
      -2.5349155075186065,
      -2.5173248693453094,
      -2.500413984585733,
      -2.4842351630581745,
      -2.468836322692677,
      -2.45426096158625,
      -2.440548153243632,
      -2.427732551911103,
      -2.4158443748207095,
      -2.4049094881166484,
      -2.394949504052642,
      -2.385981860103246,
      -2.3780199084405127,
      -2.371073013519436,
      -2.3651466559497227,
      -2.3602425415668558,
      -2.356358714193411,
      -2.353489670879854,
      -2.3516264789967685,
      -2.350756894341798,
      -2.35086548027921,
      -2.3519337269951883,
      -2.3539401710645658,
      -2.356860515834732,
      -2.3606677631376165,
      -2.3653323806972324,
      -2.370822390508021,
      -2.3771034672466476,
      -2.384139065563381,
      -2.3918905370796284,
      -2.4003171576558806,
      -2.409376317009889,
      -2.4190237497539844,
      -2.429213683600926,
      -2.4398989928378283,
      -2.451031357242581,
      -2.4625614267087044,
      -2.47443899113749,
      -2.4866131556608915,
      -2.4990325266391027,
      -2.5116454208255776,
      -2.5244000224551995,
      -2.537244552186203,
      -2.5501274628276387,
      -2.5629976363813074,
      -2.575804612163274,
      -2.5884988046726027,
      -2.601031671956788,
      -2.6133559044000556,
      -2.6254256123315183,
      -2.637196507810726,
      -2.6486260798535803,
      -2.6596737618588127,
      -2.6703010897640964,
      -2.680471850264083,
      -2.69015221786639,
      -2.6993108798581043,
      -2.707919094731755,
      -2.7159507222622645,
      -2.723382405700285,
      -2.73019366560461,
      -2.736366956814613,
      -2.7418877101636028,
      -2.7467443590702634,
      -2.750928350763269,
      -2.7544341424512946,
      -2.7572591824901513,
      -2.7594038767917937,
      -2.7608715409869036,
      -2.761668358945804,
      -2.7618033295563333,
      -2.7612881430655443,
      -2.7601370741404088,
      -2.7583668706299664,
      -2.7559966327145182,
      -2.753047682269591,
      -2.7495434238988214,
      -2.7455091981967383,
      -2.740972128580114,
      -2.7359609622750027,
      -2.7305059069164086,
      -2.724638463531234,
      -2.718391256717938,
      -2.711797863308332,
      -2.7048926404467455,
      -2.697710554273866,
      -2.690287009555619,
      -2.682657681904007,
      -2.6748583531711447,
      -2.666924750593375,
      -2.6588923907086377,
      -2.65079642892694,
      -2.642671515024387,
      -2.634551655465589,
      -2.626470082969467,
      -2.618459133342376,
      -2.6105501309648576,
      -2.6027732821426968,
      -2.5951575768690174,
      -2.5877306994307174,
      -2.5805189475956607,
      -2.573547160644017,
      -2.566838656121448,
      -2.5604151747347927,
      -2.5542968339867294,
      -2.5485020899091557,
      -2.5430477067547357,
      -2.5379487343486367,
      -2.533218492728838,
      -2.5288685639895956,
      -2.524908790670437,
      -2.5213472809409185,
      -2.5181904194027,
      -2.5154428839603917,
      -2.5131076680202744,
      -2.5111861078181636,
      -2.5096779144581762,
      -2.508581210739479,
      -2.5078925718934015,
      -2.507607070639056,
      -2.507718325936479,
      -2.508218555107799,
      -2.5090986291884354,
      -2.510348131635264,
      -2.5119554198659717,
      -2.513907689670216,
      -2.516191042054988,
      -2.5187905523178107,
      -2.5216903573635805,
      -2.52487372896697,
      -2.5283231317070958,
      -2.53202029936723,
      -2.535946313278822,
      -2.540081681960296,
      -2.544406422305146,
      -2.5489001410828145,
      -2.5535421175364084,
      -2.5583113861904683,
      -2.5631868197550216,
      -2.5681472122740465,
      -2.573171361608406,
      -2.578238151420384,
      -2.5833266319992814,
      -2.5884161000941055,
      -2.5934861769412074,
      -2.598516884656882,
      -2.6034887201415744,
      -2.60838272675572,
      -2.613180563237173,
      -2.6178645691516986,
      -2.6224178272146914,
      -2.626824222115767,
      -2.631068495306503,
      -2.635136295452672,
      -2.6390142247227217,
      -2.642689880641542,
      -2.6461518929759467,
      -2.6493899558240184,
      -2.6523948546698346,
      -2.6551584885925026,
      -2.65767388710552,
      -2.659935221913412,
      -2.6619378134414635,
      -2.663678134052785,
      -2.6651538176889122,
      -2.6663636451353256,
      -2.6673075203958425,
      -2.667986452250053,
      -2.6684025308308574,
      -2.668558899760024,
      -2.668459724275396,
      -2.668110155066634,
      -2.667516288472093,
      -2.66668512319977,
      -2.6656245136503913,
      -2.6643431204452233,
      -2.6628503582409304,
      -2.661156341129628,
      -2.659271826008954,
      -2.6572081543926114,
      -2.654977192527664,
      -2.652591270605634,
      -2.6500631211210597,
      -2.647405816863739,
      -2.644632708904477,
      -2.6417573643456276,
      -2.638793504572736,
      -2.6357549446354445,
      -2.6326555331329726,
      -2.6295090936502374,
      -2.6263293674845074,
      -2.6231299581807357,
      -2.6199242778989467,
      -2.6167254958543413,
      -2.6135464893377396,
      -2.6103997967167176,
      -2.6072975731529753,
      -2.6042515491723437,
      -2.6012729918798083,
      -2.5983726690044464,
      -2.595560815869982,
      -2.5928471055261295,
      -2.5902406217027387,
      -2.5877498347713686,
      -2.585382580937926,
      -2.5831460442427105,
      -2.581046741849807,
      -2.5790905121813514,
      -2.5772825058259596,
      -2.575627179573864,
      -2.5741282931608445,
      -2.572788908754093,
      -2.5716113933334,
      -2.57059742342884,
      -2.5697479925103432,
      -2.569063420632794,
      -2.568543366522091,
      -2.5681868420028247,
      -2.5679922284356484,
      -2.567957295109836,
      -2.568079219736024,
      -2.5683546105203985,
      -2.568779530214152,
      -2.569349521537438,
      -2.570059634060393,
      -2.570904452317401,
      -2.5718781254865926,
      -2.5729743980223034,
      -2.574186641084238,
      -2.5755078850363673,
      -2.5769308526494465,
      -2.578447992919033,
      -2.5800515152798917,
      -2.581733424402806,
      -2.583485554891941,
      -2.5852996062417835,
      -2.5871671779782415,
      -2.5890798043204812
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.93781986956962,
      11.814693572142593,
      11.68108314666119,
      11.537447072618486,
      11.384197823248769,
      11.221760228649337,
      11.050579071521955,
      10.87109985268569,
      10.68382483126352,
      10.489373251825707,
      10.288508626525308,
      10.082086441267542,
      9.871055541662146,
      9.65642727974771,
      9.439277824395178,
      9.2207086199097,
      9.001806036166993,
      8.783587818214826,
      8.566961676441462,
      8.352695010404341,
      8.141391176929726,
      7.933472572262906,
      7.729175757477773,
      7.528560936197684,
      7.331528036787556,
      7.137838784114237,
      6.947141158746299,
      6.758994523725986,
      6.572892686545307,
      6.388274747519642,
      6.204554474225676,
      6.021139568734825,
      5.837458664055375,
      5.652988073019064,
      5.467270584183573,
      5.279931131957464,
      5.0906814398662865,
      4.899316680400144,
      4.705738365347013,
      4.509989017712717,
      4.3122654848006485,
      4.112916602803872,
      3.9124362318051897,
      3.7114437464057457,
      3.5106565129105705,
      3.310860699005763,
      3.112879055951774,
      2.91753671437257,
      2.725627593356594,
      2.5378849550624185,
      2.3549596493519918,
      2.1773982725500285,
      2.005630168765194,
      1.8399637983510906,
      1.6805889364859146,
      1.5275841304770454,
      1.3809294989028604,
      1.240519074143097,
      1.1061722650755053,
      0.9776468779152812,
      0.8546521680467121,
      0.7368613867823554,
      0.6239224001962966,
      0.5154664035011494,
      0.4111156197381889,
      0.3104896153124328,
      0.21321039553076354,
      0.11890680294530694,
      0.027217254698859994,
      -0.06220801229163732,
      -0.1497050150859767,
      -0.2355946411051617,
      -0.32018142080256023,
      -0.40375239946009167,
      -0.48657686509499765,
      -0.5689063401893919,
      -0.6509736968053975,
      -0.7329920699474923,
      -0.8151541350309578,
      -0.8976309160288535,
      -0.9805702647164087,
      -1.064096708007457,
      -1.148310640147003,
      -1.2332872703448943,
      -1.3190754859279672,
      -1.4056967739642119,
      -1.4931444663088143,
      -1.5813830357650889,
      -1.6703475984686282,
      -1.7599437189997118,
      -1.850047582952374,
      -1.9405065981818326,
      -2.0311402348258705,
      -2.1217412119990406,
      -2.212078146727308,
      -2.3018981130936016,
      -2.390929619761729,
      -2.478886435817682,
      -2.565471510059065,
      -2.6503810846520675,
      -2.7333087249799104,
      -2.8139483414668995,
      -2.8919988791547144,
      -2.9671689783924595,
      -3.03918020629776,
      -3.107769204025,
      -3.1726912781915244,
      -3.233722899968984,
      -3.2906626561865613,
      -3.343331517081424,
      -3.3915748478917473,
      -3.4352628190466796,
      -3.4742905570121434,
      -3.50857792944069,
      -3.538069036992103,
      -3.562730040145789,
      -3.582549427275712,
      -3.5975388314881527,
      -3.6077308708892684,
      -3.6131771535905464,
      -3.6139475862628547,
      -3.6101303339000825,
      -3.601830633411319,
      -3.5891692672410773,
      -3.572282955351292,
      -3.551323988526734,
      -3.526459725889255,
      -3.497872022367032,
      -3.46575546365953,
      -3.430313975298056,
      -3.3917695176594647,
      -3.35037065531105,
      -3.3063836982973074,
      -3.2600921359929607,
      -3.211790013745677,
      -3.1617797940331243,
      -3.11036460017076,
      -3.0578421447829016,
      -3.0045041717691907,
      -2.9506357803327483,
      -2.8965150428850657,
      -2.842413375244216,
      -2.788587606409239,
      -2.7352780108128605,
      -2.68270759018864,
      -2.6310814441566244,
      -2.5805863724494538,
      -2.531390706960042,
      -2.483644364546946,
      -2.437479480959649,
      -2.3930152748715017,
      -2.350358110704936,
      -2.309599491994302,
      -2.27081628620375,
      -2.2340708841785184,
      -2.199412275858706,
      -2.1668785268590662,
      -2.1364979325120217,
      -2.108290495384319,
      -2.0822732796983656,
      -2.0584617124663964,
      -2.036868841108206,
      -2.0175028766383254,
      -2.0003679730516706,
      -1.9854623475724682,
      -1.972778649342344,
      -1.9623028767095587,
      -1.9540154032575454,
      -1.9478918816164463,
      -1.943903581438037,
      -1.9420176778995963,
      -1.942197492461823,
      -1.9444026879995129,
      -1.948589421129858,
      -1.9547101198199721,
      -1.9627131774266084,
      -1.9725432870700845,
      -1.984142229780233,
      -1.9974489638189044,
      -2.0123992339284924,
      -2.0289255492789056,
      -2.0469570669262893,
      -2.0664192396994228,
      -2.0872341337937406,
      -2.109320635346413,
      -2.132594402260628,
      -2.1569677645490675,
      -2.1823497437997146,
      -2.20864630398251,
      -2.2357605025059035,
      -2.2635926647303353,
      -2.292040599382966,
      -2.3209998558181426,
      -2.3503640237690155,
      -2.3800250747584744,
      -2.4098737433336335,
      -2.439799945987021,
      -2.469693233822876,
      -2.4994432747731543,
      -2.5289403595949245,
      -2.5580756717574604,
      -2.5867417098847336,
      -2.614833148286709,
      -2.642247419066936,
      -2.6688852520845256,
      -2.6946512430801577,
      -2.719454385838629,
      -2.7432084941325656,
      -2.765832329670387,
      -2.787249947847936,
      -2.807391409522665,
      -2.8261931329978083,
      -2.8435981828799375,
      -2.8595567436295237,
      -2.8740265217644834,
      -2.8869725173846406,
      -2.898367047414116,
      -2.908189792403056,
      -2.9164277982299165,
      -2.9230751911809536,
      -2.9281330488429282,
      -2.9316095655517462,
      -2.933519914912962,
      -2.933886058448652,
      -2.9327365440845012,
      -2.9301063330308668,
      -2.9260364397401495,
      -2.920573579833437,
      -2.9137698321780587,
      -2.9056822785886385,
      -2.8963726232993725,
      -2.885906794942688,
      -2.8743545328031104,
      -2.8617889604291835,
      -2.848286165859409,
      -2.8339247301033277,
      -2.818785230504777,
      -2.8029496465018076,
      -2.786501084972533,
      -2.7695234319207267,
      -2.7521009161098533,
      -2.73431768276755,
      -2.716257380616123,
      -2.698002764534311,
      -2.6796353167083824,
      -2.6612348887692,
      -2.6428793665737436,
      -2.6246443599376637,
      -2.606602918130591,
      -2.588825272615355,
      -2.571378485694277,
      -2.554326163007943,
      -2.5377284373558084,
      -2.521641850150255,
      -2.5061192365639204,
      -2.4912096362898875,
      -2.476958237422322,
      -2.463406373075967,
      -2.4505914329109344,
      -2.438546846719064,
      -2.427302136784594,
      -2.416882950725988,
      -2.407311108162735,
      -2.398604659649563,
      -2.390777956499515,
      -2.3838417291025724,
      -2.3778031731528495,
      -2.3726660419690555,
      -2.368430743682395,
      -2.365094442666982,
      -2.3626511639970764,
      -2.361091900194997,
      -2.360404720164391,
      -2.360574879480071,
      -2.3615849321038516,
      -2.363414843338259,
      -2.3660421037135273,
      -2.369441880955085,
      -2.37358714574908,
      -2.3784487435081396,
      -2.383995510281106,
      -2.390194394366699,
      -2.3970104778318078,
      -2.4044071177939026,
      -2.4123461865093487,
      -2.42078820644376,
      -2.429692488923537,
      -2.439017276645026,
      -2.4487198895535567,
      -2.458756874616294,
      -2.4690841591075317,
      -2.47965720708085,
      -2.4904311790336955,
      -2.5013610938285407,
      -2.512401992875161,
      -2.523509105615256,
      -2.534638015917153,
      -2.5457448283159514,
      -2.556786333413386,
      -2.5677201715307114,
      -2.5785049939306353,
      -2.589100620293069,
      -2.5994681916075835,
      -2.6095703178036977,
      -2.6193712188759855,
      -2.628836858623639,
      -2.6379350704499287,
      -2.6466356740873778,
      -2.6549105827166852,
      -2.6627338996671552,
      -2.67008200435382,
      -2.67693357168926,
      -2.683269580211663,
      -2.6890734530746143,
      -2.694331115470976,
      -2.699031021803946,
      -2.7031641703295843,
      -2.70672410506873,
      -2.709706905246823,
      -2.712111162775221,
      -2.713937947675332,
      -2.715190761901603,
      -2.715875483284031,
      -2.716000328724955,
      -2.7155757707556125,
      -2.7146144201894296,
      -2.713130929220757,
      -2.7111418861957106,
      -2.708665703446098,
      -2.70572249781347,
      -2.7023339658925076,
      -2.6985232542471116,
      -2.6943148250316087,
      -2.6897343183622686,
      -2.6848084123933833,
      -2.679564681298888,
      -2.6740314526644773,
      -2.6682376647262895,
      -2.6622127242422176,
      -2.6559863659240945,
      -2.649588514011472,
      -2.6430491464696977,
      -2.636398162905137,
      -2.6296652568514394,
      -2.622879792205826,
      -2.616070685234962,
      -2.609266291925161,
      -2.602494301476331,
      -2.595781635979861,
      -2.589154356808587,
      -2.582637577792062,
      -2.5762553851780625,
      -2.570030764767074,
      -2.563985536257699,
      -2.5581402945172362,
      -2.552514357986927,
      -2.5471257241655247,
      -2.5419910319027164,
      -2.5371255303063327,
      -2.532543054447844,
      -2.528256007087238,
      -2.524275346764431,
      -2.5206105816234117,
      -2.5172697690099834,
      -2.5142595203432148,
      -2.5115850112123943,
      -2.5092499961674304,
      -2.507256828204101,
      -2.505606482796149,
      -2.5042985856945355,
      -2.5033314450663,
      -2.5027020866964698,
      -2.5024062930938333,
      -2.5024386455423944,
      -2.5027925694181827,
      -2.503460381978662,
      -2.504433342880306,
      -2.505701707251841,
      -2.5072547811279327,
      -2.509080978541243,
      -2.511167890099695,
      -2.5135023520653546,
      -2.51607049243507,
      -2.518857791746316,
      -2.5218491482228838,
      -2.5250289436152284,
      -2.5283811102540263,
      -2.5318891987075585,
      -2.535536445729196,
      -2.5393058427564674,
      -2.5431802041701026,
      -2.54714223565575,
      -2.5511746021356076,
      -2.5552599950333215,
      -2.5593811987524537,
      -2.563521155987056,
      -2.567663032009345,
      -2.571790277208113,
      -2.5758866878590654,
      -2.5799364648511256,
      -2.583924270268955,
      -2.5878352814520023,
      -2.591655242635779,
      -2.5953705133936493,
      -2.598968114095002,
      -2.6024357682224597,
      -2.6057619411434048,
      -2.6089358754255034,
      -2.6119476223660514,
      -2.6147880699002686,
      -2.61744896635637,
      -2.6199229402282644,
      -2.622203516178299,
      -2.6242851266352063,
      -2.626163119718199,
      -2.6278337628377098,
      -2.6292942422321635,
      -2.630542658516669,
      -2.631578027134562,
      -2.6324002705453835,
      -2.63301019037457,
      -2.6334094464025046,
      -2.633600533594434,
      -2.633586756056868,
      -2.6333721975091553,
      -2.632961689171564,
      -2.6323607750431615,
      -2.631575674427877,
      -2.6306132424952753,
      -2.62948092870555,
      -2.6281867334713938,
      -2.6267391633103294,
      -2.625147184645188,
      -2.6234201768987746,
      -2.621567884336672,
      -2.619600367666177,
      -2.617527955383129,
      -2.615361194628358,
      -2.6131108026124874,
      -2.610787618290509,
      -2.608402554651166,
      -2.605966551598845,
      -2.603490530215321,
      -2.6009853477819798,
      -2.5984617543094304,
      -2.5959303506527247,
      -2.593401548179189,
      -2.5908855302521427,
      -2.588392215428778,
      -2.5859312228451037,
      -2.5835118396159427,
      -2.5811429904991336,
      -2.578833209708342,
      -2.5765906149514293,
      -2.574422883863877,
      -2.572337232946784,
      -2.5703403987019553,
      -2.5684386209279673,
      -2.5666376288963955,
      -2.5649426297191766,
      -2.5633582987453805,
      -2.5618887726063946,
      -2.5605376445564825,
      -2.5593079618746772,
      -2.558202225395199,
      -2.5572223914305034,
      -2.556369875455948,
      -2.5556455579387936,
      -2.5550497920528588,
      -2.5545824131947477,
      -2.5542427505448946,
      -2.5540296398692637,
      -2.5539414380272847,
      -2.5539760392672477,
      -2.554130892546821,
      -2.554403020513886,
      -2.554789039482621,
      -2.555285180678172,
      -2.5558873125381987,
      -2.5565909637548474,
      -2.557391347298717,
      -2.5582833851557063,
      -2.5592617338095773,
      -2.560320810019396,
      -2.561454817353649,
      -2.56265777289827,
      -2.563923534037976,
      -2.565245825666349,
      -2.5666182673900777,
      -2.568034400469513
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937520820137696,
      11.81365675727062,
      11.678931119317754,
      11.53385928322423,
      11.378906627206936,
      11.214542844658299,
      11.041248442729797,
      10.859498982265437,
      10.669830212279484,
      10.47290257770638,
      10.269519830126795,
      10.060573639754114,
      9.847042343684937,
      9.629972821790641,
      9.410475349176918,
      9.189684305855048,
      8.968707164003357,
      8.748566647619908,
      8.530168453377216,
      8.314270796344081,
      8.10145630598941,
      7.89211751783103,
      7.686462661906439,
      7.484525774699431,
      7.286180382431749,
      7.091164133430035,
      6.899104701923904,
      6.709539413680958,
      6.5219345432607945,
      6.335712192840828,
      6.150277842473734,
      5.96504641791502,
      5.779457123584117,
      5.593003088915958,
      5.4052493979879745,
      5.215849459125959,
      5.024551433626077,
      4.831192433781906,
      4.635723671538579,
      4.438245447217602,
      4.239014947392194,
      4.038440052905185,
      3.8370697296334257,
      3.6355668427314938,
      3.434681423413122,
      3.235219522857511,
      3.0380101850788077,
      2.8438711863032435,
      2.653576577157163,
      2.4678319116771963,
      2.2872486408033454,
      2.1123259934994554,
      1.9434433639311501,
      1.7808593557236392,
      1.6247160347563587,
      1.4750476211264656,
      1.33179525668805,
      1.1948197388605977,
      1.0639140956148252,
      0.9388160521673496,
      0.8192204763505211,
      0.7047912553251098,
      0.5951714333443225,
      0.48999121717738814,
      0.38887497168124036,
      0.29144700766588294,
      0.19733655426111663,
      0.10618065688545875,
      0.017626843129858807,
      -0.06866472040412135,
      -0.1530197262732847,
      -0.23574856724724969,
      -0.31714516071761,
      -0.39748651331828594,
      -0.47703286164314995,
      -0.5560274547321387,
      -0.6346955381357026,
      -0.7132438028024793,
      -0.7918598645356743,
      -0.8707116690370933,
      -0.949946814765311,
      -1.0296911865506309,
      -1.1100477829103472,
      -1.1910966753664505,
      -1.2728942098843956,
      -1.3554719821590036,
      -1.4388360794087793,
      -1.522966485034406,
      -1.607816540058548,
      -1.693312631171088,
      -1.7793541636680617,
      -1.865813874949505,
      -1.9525385207453887,
      -2.0393494990881256,
      -2.1260444871421056,
      -2.2123996911426804,
      -2.2981723682603508,
      -2.3831039642341274,
      -2.4669233684505825,
      -2.5493504515169785,
      -2.6300997942073643,
      -2.70888373536653,
      -2.7854155341126066,
      -2.8594139467166553,
      -2.930606067188432,
      -2.998731308206169,
      -3.063544530094502,
      -3.124818477238323,
      -3.1823456335382008,
      -3.235938521682362,
      -3.285431275686575,
      -3.330681153419795,
      -3.3715689164955522,
      -3.4079990565542473,
      -3.4398997162102587,
      -3.467221606983012,
      -3.4899368548942697,
      -3.508040625704113,
      -3.521549491439491,
      -3.5305001540659244,
      -3.534947965750698,
      -3.5349659086974543,
      -3.5306446849610222,
      -3.5220920979979002,
      -3.5094309597095363,
      -3.492798951117643,
      -3.4723485307984334,
      -3.4482464147719245,
      -3.4206728168957814,
      -3.38981954603743,
      -3.355885909061868,
      -3.3190856073756896,
      -3.2796539113161884,
      -3.2378451318588084,
      -3.1939254041079,
      -3.148173298778114,
      -3.100871481184956,
      -3.0523066206387717,
      -3.002761512622734,
      -2.9525110735231626,
      -2.9018216553047016,
      -2.8509496833060854,
      -2.800140162380385,
      -2.749625698265237,
      -2.699625270073219,
      -2.6503433415527304,
      -2.60196921307785,
      -2.554676574056684,
      -2.5086232538090822,
      -2.4639514629140487,
      -2.42078815772959,
      -2.379244962571421,
      -2.339418522653843,
      -2.3013910364317516,
      -2.2652310075244197,
      -2.230994413966196,
      -2.1987266151537037,
      -2.1684615561759917,
      -2.140228309577768,
      -2.11405078386483,
      -2.0899514587336885,
      -2.067949351259696,
      -2.048057671215042,
      -2.0302849678246853,
      -2.0146334392130387,
      -2.0010999683576336,
      -1.989674322908664,
      -1.9803402531107162,
      -1.9730767208933904,
      -1.9678581578551086,
      -1.9646547742656693,
      -1.963432825074908,
      -1.964154834189013,
      -1.9667797791618329,
      -1.9712631492709534,
      -1.9775568321731467,
      -1.9856092001591334,
      -1.9953652089521643,
      -2.006766406538845,
      -2.01975160179463,
      -2.03425688318995,
      -2.0502153290832115,
      -2.067557014113036,
      -2.086208991203035,
      -2.106095035633806,
      -2.127135764358189,
      -2.149248831564178,
      -2.172349081525735,
      -2.1963486776438526,
      -2.2211572299606472,
      -2.246681954281017,
      -2.272827864615932,
      -2.299497999986462,
      -2.326593686980329,
      -2.3540148370314653,
      -2.381660277507865,
      -2.4094281151831427,
      -2.437216129020236,
      -2.464922188903386,
      -2.4924445145559138,
      -2.5196819779434856,
      -2.546534843672942,
      -2.5729052992872385,
      -2.5986979442950298,
      -2.623820321424565,
      -2.6481833759170086,
      -2.6717018291651025,
      -2.694294322755847,
      -2.7158839356727293,
      -2.7363987649150254,
      -2.7557722765777886,
      -2.7739436371234145,
      -2.790858321108795,
      -2.806468295667518,
      -2.8207319144850755,
      -2.8336140631343567,
      -2.8450862623461965,
      -2.855126729069886,
      -2.863720396337045,
      -2.8708588926817513,
      -2.8765404025647614,
      -2.880769311187069,
      -2.8835563258966346,
      -2.884918419203439,
      -2.8848786360290997,
      -2.883465889611196,
      -2.8807147910060875,
      -2.876665313182899,
      -2.8713624447583537,
      -2.864855868276684,
      -2.857199621355917,
      -2.8484517941817598,
      -2.8386741455538362,
      -2.8279316635629868,
      -2.8162921717061526,
      -2.8038259283933873,
      -2.7906052221474313,
      -2.776703941354198,
      -2.7621971522697013,
      -2.7471607414972916,
      -2.7316710296087927,
      -2.7158043854323126,
      -2.6996368522130463,
      -2.683243787621138,
      -2.666699519976446,
      -2.6500770225532384,
      -2.6334476078984026,
      -2.6168806434001612,
      -2.600443289715401,
      -2.5842002624653855,
      -2.568213618382997,
      -2.5525425656500405,
      -2.537243298881161,
      -2.522368858234544,
      -2.507969012284481,
      -2.494090163271171,
      -2.4807752403129224,
      -2.468063648176792,
      -2.455991267681276,
      -2.4445904426964242,
      -2.4338899835581382,
      -2.423915201921821,
      -2.4146879823732537,
      -2.406226783999769,
      -2.3985466818972823,
      -2.391659430987357,
      -2.385573537831989,
      -2.380294339160712,
      -2.375824086327395,
      -2.3721620345616947,
      -2.3693045361174474,
      -2.3672451366887115,
      -2.3659746745781916,
      -2.365481382266522,
      -2.3657509897312785,
      -2.3667668293742286,
      -2.368509942786801,
      -2.370959206096011,
      -2.374091475838601,
      -2.3778816547243085,
      -2.382302791474894,
      -2.3873261824669476,
      -2.392921388743061,
      -2.399056402212931,
      -2.405697848130297,
      -2.4128111095172486,
      -2.420360453916899,
      -2.428309162610697,
      -2.436619662612878,
      -2.445253660933962,
      -2.4541722817342366,
      -2.4633362052903047,
      -2.472705809047166,
      -2.4822413102148437,
      -2.4919029097991507,
      -2.501650937321655,
      -2.511445995587876,
      -2.521249105404733,
      -2.531021849143929,
      -2.5407265125762253,
      -2.5503262243282347,
      -2.559785092248192,
      -2.569068335936676,
      -2.5781424145252574,
      -2.586975149284565,
      -2.595535839929543,
      -2.6037953741871105,
      -2.611726330132348,
      -2.6193030701141935,
      -2.6265018263483104,
      -2.633300777202628,
      -2.6396801141395545,
      -2.6456220986202346,
      -2.65111108452987,
      -2.6561334693368326,
      -2.660677794051098,
      -2.6647347954787834,
      -2.6682974123161785,
      -2.671360780662477,
      -2.6739222190987144,
      -2.6759812032639725,
      -2.6775393308629383,
      -2.6786002769025394,
      -2.6791697395968845,
      -2.679255384097167,
      -2.678866799356095,
      -2.6780153987214557,
      -2.676714317376563,
      -2.6749783192147594,
      -2.6728236978459,
      -2.670268172455722,
      -2.667330779114932,
      -2.6640317577258363,
      -2.6603924364430984,
      -2.656435113053922,
      -2.652182934797775,
      -2.64765977706933,
      -2.6428901217038736,
      -2.6378989352872186,
      -2.6327115487392265,
      -2.6273535380847988,
      -2.6218506072521355,
      -2.6162284739729698,
      -2.610512758232627,
      -2.6047288748539286,
      -2.5989019298874645,
      -2.593056621592515,
      -2.587217146149202,
      -2.5814071085624373,
      -2.575649438877385,
      -2.569966313991297,
      -2.564379085234699,
      -2.558908212034846,
      -2.5535732009981915,
      -2.548392551367972,
      -2.543383706457353,
      -2.5385630111610835,
      -2.5339456749854845,
      -2.52954574105285,
      -2.525376060725512,
      -2.5214482740329216,
      -2.517772795050167,
      -2.5143588028878527,
      -2.5112142372869126,
      -2.5083457990754607,
      -2.505758955710703,
      -2.5034579505976216,
      -2.5014458168833875,
      -2.4997243951525703,
      -2.498294354880909,
      -2.4971552195320434,
      -2.496305394776713,
      -2.4957422000292957,
      -2.495461902888919,
      -2.495459756279753,
      -2.4957300383927654,
      -2.49626609469563,
      -2.4970603821956856,
      -2.498104516040639,
      -2.499389317729335,
      -2.5009048784184977,
      -2.5026406110770183,
      -2.5045852880430237,
      -2.5067270946927027,
      -2.509053684711324,
      -2.5115522357437183,
      -2.5142095062836685,
      -2.517011893078796,
      -2.5199454888043142,
      -2.522996139982072,
      -2.526149504936468,
      -2.5293911115467353,
      -2.5327064148026266,
      -2.5360808539093984,
      -2.539499908554731,
      -2.5429491541480154,
      -2.546414316346819,
      -2.5498813239845273,
      -2.5533363606301642,
      -2.55676591452519,
      -2.5601568267938144,
      -2.563496337568795,
      -2.5667721298541246,
      -2.56997237107568,
      -2.573085752122453,
      -2.576101523915029,
      -2.5790095310599357,
      -2.5818002424627347,
      -2.584464779390903,
      -2.5869949401393177,
      -2.5893832215043657,
      -2.59162283695486,
      -2.593707731831931,
      -2.5956325949312054,
      -2.597392867131348,
      -2.598984746144921,
      -2.6004051884657247,
      -2.601651907973895,
      -2.602723371182405,
      -2.6036187892258114,
      -2.604338107139175,
      -2.60488199729394,
      -2.605251846757823,
      -2.605449727287703,
      -2.605478371644827,
      -2.605341148973493,
      -2.605042037986177,
      -2.6045855980060906,
      -2.6039769381306708,
      -2.6032216843310114,
      -2.6023259454545506,
      -2.601296277654974,
      -2.6001396475672394,
      -2.5988633946782524,
      -2.597475192736286,
      -2.595983010528794,
      -2.5943950725375817,
      -2.5927198192179866,
      -2.590965867360493,
      -2.589141970330162,
      -2.5872569789960673,
      -2.5853198031409055,
      -2.5833393731126457,
      -2.581324602696759,
      -2.579284353063009,
      -2.5772273971772073,
      -2.575162386249925,
      -2.5730978168883714,
      -2.5710420002290997,
      -2.5690030318816017,
      -2.566988764125357,
      -2.565006779607477,
      -2.5630643667465365,
      -2.561168496990496,
      -2.559325803915762,
      -2.5575425639698266,
      -2.5558246796948536,
      -2.554177664455991,
      -2.552606628963431,
      -2.5511162701515575,
      -2.5497108617234234,
      -2.5483942466816463,
      -2.5471698314487283,
      -2.5460405823442174,
      -2.54500902355226,
      -2.5440772367264604,
      -2.543246862756243,
      -2.542519104865011,
      -2.5418947333777493,
      -2.541374091957583,
      -2.5409571056411884,
      -2.5406432900837745,
      -2.540431762134058,
      -2.5403212518052842,
      -2.5403101154515024,
      -2.5403963499561497,
      -2.5405776080676197,
      -2.5408512147861315,
      -2.541214184626883,
      -2.541663239582511,
      -2.5421948278613593,
      -2.5428051435261203,
      -2.543490146418045,
      -2.5442455827173034,
      -2.5450670057765525,
      -2.5459497975748784,
      -2.546889190171871,
      -2.547880287176417,
      -2.5489180871256183,
      -2.549997507433242
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812977986141908,
      11.677339259634508,
      11.53104300705174,
      11.374606996351183,
      11.208544201127738,
      11.033370187440598,
      10.849590825280382,
      10.657774078297017,
      10.458617914987174,
      10.252963630408905,
      10.041734624828763,
      9.825938433300363,
      9.606657135305118,
      9.385034870663736,
      9.16223830591532,
      8.939386646270885,
      8.71750752658656,
      8.49750612834264,
      8.280129096171589,
      8.065939272305227,
      7.855310576900716,
      7.648428433623991,
      7.445300292332479,
      7.245776497938814,
      7.0495727097593575,
      6.856288336781286,
      6.665436363531515,
      6.476463978448568,
      6.288781901976873,
      6.1018016082343784,
      5.914940190474581,
      5.727646892641982,
      5.539430213104172,
      5.34987707537159,
      5.15867151943724,
      4.965595865144434,
      4.770527378707204,
      4.573464172144452,
      4.37456026832002,
      4.174126148809909,
      3.9726241604483,
      3.770648341022379,
      3.568897551902885,
      3.3681474556718274,
      3.169217702045344,
      2.972937697097339,
      2.7801127131774,
      2.591496593109862,
      2.40776390359686,
      2.22948578851582,
      2.0571171651604603,
      1.890992067470349,
      1.7313242150870078,
      1.5782134895425735,
      1.4316577798856516,
      1.2915669436963013,
      1.1577753776319744,
      1.0300554581918417,
      0.9081298497341129,
      0.7916832007774225,
      0.6803733199691651,
      0.5738409337322203,
      0.4717170768005046,
      0.3736294926881231,
      0.27920843327343237,
      0.1880899466545125,
      0.09991890477599326,
      0.014351560972204927,
      -0.06894272713567727,
      -0.1502802618489206,
      -0.22996189557913255,
      -0.30827224473391546,
      -0.38547973931323326,
      -0.4618369138118581,
      -0.5375798360862072,
      -0.612927458417382,
      -0.6880813306778665,
      -0.7632252586477738,
      -0.8385248903318486,
      -0.914127221982316,
      -0.9901600225314141,
      -1.066731182587003,
      -1.143927257710346,
      -1.2218125575957852,
      -1.3004291711054627,
      -1.3797961502534404,
      -1.4599089909887648,
      -1.540739114571735,
      -1.6222334639341212,
      -1.7043143115146393,
      -1.7868793281074637,
      -1.8698019601367433,
      -1.9529320416566938,
      -2.0360963491686346,
      -2.1191002063561912,
      -2.2017298323215155,
      -2.283754769393823,
      -2.3649305351603385,
      -2.4450015813373636,
      -2.523704495008771,
      -2.6007712473007802,
      -2.6759311843947886,
      -2.748914152933267,
      -2.8194554145986968,
      -2.88729902985844,
      -2.9522007918247906,
      -3.0139308472597715,
      -3.0722759613032347,
      -3.127040949864503,
      -3.1780490782474438,
      -3.225144324294064,
      -3.268192338260021,
      -3.3070810598701716,
      -3.341720910356551,
      -3.3720448367927753,
      -3.3980069045263037,
      -3.4195829404036773,
      -3.436770674819174,
      -3.449588083696473,
      -3.4580726422001713,
      -3.4622802876850045,
      -3.46228403553749,
      -3.4581740310107016,
      -3.4500570021440895,
      -3.438054394967528,
      -3.4223013931803825,
      -3.4029472168635677,
      -3.3801545678824225,
      -3.3540988063143704,
      -3.3249669102473325,
      -3.2929520251616764,
      -3.2582562731249665,
      -3.221098460388388,
      -3.181715832693558,
      -3.1403581403563283,
      -3.097283464760358,
      -3.0527578366249064,
      -3.0070471723061827,
      -2.9604174357270785,
      -2.913129803883678,
      -2.8654359598860655,
      -2.817577057455175,
      -2.769782675978238,
      -2.7222702864242674,
      -2.675244424443952,
      -2.6288959701570365,
      -2.5834016048927233,
      -2.538923446622873,
      -2.4956088611927987,
      -2.453590441952548,
      -2.412986146421316,
      -2.373899612104549,
      -2.336420696924874,
      -2.3006261319211516,
      -2.266581569792321,
      -2.234339870965699,
      -2.203944521349952,
      -2.175434096235512,
      -2.1488400468200832,
      -2.1241926512489724,
      -2.1015174565392205,
      -2.080833563529011,
      -2.0621550338281427,
      -2.0454894092331157,
      -2.030838972510573,
      -2.0181990725322194,
      -2.007557988874116,
      -1.9988988641485284,
      -1.992200209661293,
      -1.9874362724383428,
      -1.9845772125786458,
      -1.9835893431707168,
      -1.9844353474388587,
      -1.9870744614263887,
      -1.9914623846653141,
      -1.9975514494984528,
      -2.0052909206721248,
      -2.0146268105822434,
      -2.025502052478788,
      -2.0378563804685466,
      -2.0516267729566118,
      -2.06674779180945,
      -2.0831512903701808,
      -2.1007664087964786,
      -2.1195195115054566,
      -2.1393341712791933,
      -2.1601311685401976,
      -2.181828747530466,
      -2.2043429199375746,
      -2.2275875843719537,
      -2.2514746663743477,
      -2.275914315691962,
      -2.3008151329795954,
      -2.326084425732972,
      -2.3516284926085187,
      -2.3773529355764786,
      -2.4031629980685185,
      -2.4289638215939897,
      -2.4546606237156925,
      -2.480159319308801,
      -2.5053669989477116,
      -2.5301923860852744,
      -2.5545462776943486,
      -2.5783419351379244,
      -2.601495345983291,
      -2.6239255227210982,
      -2.6455551067776715,
      -2.6663107801004418,
      -2.6861236216218125,
      -2.70492952868252,
      -2.7226698071966813,
      -2.7392911672212654,
      -2.7547458473522584,
      -2.7689918062624455,
      -2.781992877226618,
      -2.7937188844403984,
      -2.804145722018498,
      -2.813255395348626,
      -2.8210360257205775,
      -2.827481818675305,
      -2.832592998393999,
      -2.836375524436273,
      -2.8388408745487514,
      -2.840006140473357,
      -2.83989387423796,
      -2.8385318778845106,
      -2.8359530435389106,
      -2.832195124339401,
      -2.827300395618688,
      -2.82131529299018,
      -2.8142900876120125,
      -2.8062785549516134,
      -2.797337631797823,
      -2.7875270638081893,
      -2.7769090458890204,
      -2.765547858192074,
      -2.753509499412526,
      -2.740861320199506,
      -2.7276716591745824,
      -2.714009484046968,
      -2.6999440263739714,
      -2.6855444296603133,
      -2.6708794450799003,
      -2.6560171188247077,
      -2.6410244892525343,
      -2.6259673012662996,
      -2.610909738449552,
      -2.595914174717893,
      -2.5810409458976844,
      -2.5663481426728687,
      -2.551891424566114,
      -2.5377238553122012,
      -2.5238957427511752,
      -2.510454507126864,
      -2.4974445998057466,
      -2.4849074248957987,
      -2.4728812771154507,
      -2.4614012982817313,
      -2.4504994504986444,
      -2.4402045051541807,
      -2.4305420466650323,
      -2.4215344891534487,
      -2.4132011055941756,
      -2.4055580676724175,
      -2.3986184951500507,
      -2.392392525069875,
      -2.3868874153775246,
      -2.3821075803866494,
      -2.378054651902658,
      -2.374727560368233,
      -2.372122620249365,
      -2.3702336187442943,
      -2.3690519072907743,
      -2.368566495841824,
      -2.368764148996397,
      -2.3696294840397343,
      -2.371145072545589,
      -2.3732915820824716,
      -2.376047871857899,
      -2.3793910585357767,
      -2.383296608071096,
      -2.387738346399824,
      -2.3926886198263575,
      -2.3981184817346937,
      -2.403997806493752,
      -2.410295404858635,
      -2.416979141398252,
      -2.4240160536818784,
      -2.4313724730447075,
      -2.4390141473441918,
      -2.4469063651768588,
      -2.45501408104782,
      -2.463302041844534,
      -2.471734914118901,
      -2.4802774113952752,
      -2.4888944218852442,
      -2.4975511352570012,
      -2.506213168784571,
      -2.514846691732042,
      -2.5234185476759543,
      -2.5318963744084537,
      -2.5402487203480533,
      -2.54844515705047,
      -2.556456387499889,
      -2.5642543491676633,
      -2.5718123115634977,
      -2.5791049676835853,
      -2.5861085184945174,
      -2.5928007506331037,
      -2.5991611065115032,
      -2.6051707461286266,
      -2.6108126010467196,
      -2.6160714195594648,
      -2.620933803116515,
      -2.6253882339410097,
      -2.629425037279191,
      -2.633036357813898,
      -2.6362162403220677,
      -2.638960633968088,
      -2.641267376447257,
      -2.6431361694436637,
      -2.6445685456744017,
      -2.6455678280969366,
      -2.6461390810373797,
      -2.6462890541626667,
      -2.646026123975024,
      -2.6453602497012527,
      -2.644302883167251,
      -2.6428668704881906,
      -2.6410663657056723,
      -2.6389167405743557,
      -2.6364344903551724,
      -2.6336371365856652,
      -2.630543127253695,
      -2.627171734965471,
      -2.623542953858061,
      -2.6196773954777526,
      -2.6155961846586075,
      -2.611320855619039,
      -2.606873248816904,
      -2.602275409323478,
      -2.5975494870290436,
      -2.5927176389770477,
      -2.5878019348672145,
      -2.5828242664397556,
      -2.5778062575363956,
      -2.572769178049545,
      -2.5677338659346622,
      -2.562720652368416,
      -2.5577492892552782,
      -2.5528388826342594,
      -2.5480078308023257,
      -2.5432737675431785,
      -2.538653510390076,
      -2.5341630137724476,
      -2.529817327583195,
      -2.5256305607625715,
      -2.521615849395525,
      -2.517785330223986,
      -2.5141501189802833,
      -2.5107202930077124,
      -2.507504879095087,
      -2.504511845505367,
      -2.501748098210262,
      -2.4992194812080215,
      -2.4969307809969834,
      -2.494885734865098,
      -2.4930870427025535,
      -2.491536382346887,
      -2.4902344280106616,
      -2.489180872003123,
      -2.4883744494220466,
      -2.4878129653405283,
      -2.487493324650545,
      -2.487411564319555,
      -2.487562887918858,
      -2.487941702156807,
      -2.4885416555070328,
      -2.489355680089351,
      -2.4903760464475533,
      -2.491594401122344,
      -2.4930018005756507,
      -2.494588756688162,
      -2.496345283291122,
      -2.4982609436376855,
      -2.5003248984630986,
      -2.5025259547110283,
      -2.504852614542536,
      -2.5072931247227643,
      -2.5098355258149367,
      -2.512467701599169,
      -2.5151774283399964,
      -2.5179524232679267,
      -2.520780392857475,
      -2.5236490802337026,
      -2.526546311748009,
      -2.529460042659738,
      -2.53237840155159,
      -2.5352897333350297,
      -2.5381826411330586,
      -2.5410460260051213,
      -2.5438691252601444,
      -2.546641548986636,
      -2.5493533142274227,
      -2.5519948773238643,
      -2.5545571637895597,
      -2.557031596095602,
      -2.559410118738619,
      -2.5616852209618033,
      -2.5638499567700577,
      -2.56589796270184,
      -2.5678234724058107,
      -2.5696213286569947,
      -2.5712869928218853,
      -2.572816551385994,
      -2.574206720057646,
      -2.575454844676273,
      -2.5765588999209994,
      -2.5775174850699654,
      -2.5783298174980556,
      -2.5789957235172887,
      -2.5795156266591888,
      -2.5798905338394493,
      -2.5801220193472996,
      -2.5802122155356684,
      -2.5801637919642375,
      -2.579979924598673,
      -2.579664271672724,
      -2.5792209483713715,
      -2.5786545001509014,
      -2.5779698746941966,
      -2.577172392608503,
      -2.576267717358153,
      -2.5752618243694334,
      -2.5741609695010745,
      -2.572971656924802,
      -2.571700606943821,
      -2.570354723362925,
      -2.5689410609386556,
      -2.5674667931836668,
      -2.5659391799322706,
      -2.5643655357262216,
      -2.5627531987028633,
      -2.5611094999698345,
      -2.559441733803148,
      -2.55775712884805,
      -2.556062820192997,
      -2.554365822384844,
      -2.55267300388111,
      -2.550991062564945,
      -2.5493265028064545,
      -2.547685613506636,
      -2.5460744476728685,
      -2.5444988038657694,
      -2.542964208579276,
      -2.5414759004411023,
      -2.5400388160220997,
      -2.5386575770362043,
      -2.537336479318135,
      -2.5360794830705125,
      -2.5348902049600603,
      -2.5337719116974715,
      -2.532727515085022,
      -2.5317595686660765,
      -2.530870265748493,
      -2.5300614389778993,
      -2.5293345613779983,
      -2.5286907485420747,
      -2.5281307623951133,
      -2.5276550160258964,
      -2.527263579950908,
      -2.5269561895832897,
      -2.5267322535503847,
      -2.5265908632388667,
      -2.5265308034600604,
      -2.5265505636181667,
      -2.5266483502618513,
      -2.5268221003206457,
      -2.52706949493654,
      -2.5273879738242506,
      -2.527774750729509,
      -2.5282268290503467,
      -2.5287410180339593,
      -2.5293139511818006,
      -2.5299421060443983,
      -2.530621817113848,
      -2.5313492921483864,
      -2.532120629900092,
      -2.532931837363368
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812705919448272,
      11.676435462155379,
      11.529204808396575,
      11.371583798081966,
      11.204127211786204,
      11.027385195922243,
      10.841893885314944,
      10.648251885147946,
      10.447194603361092,
      10.239597338166918,
      10.026410183553708,
      9.808671151649897,
      9.587494970682618,
      9.364064805689448,
      9.139575684975808,
      8.9151538342187,
      8.69183247835198,
      8.470516525189032,
      8.251946512880918,
      8.036672022850356,
      7.825048633823092,
      7.617241327460976,
      7.4132381142365755,
      7.212865996119777,
      7.01581275362091,
      6.821658339569566,
      6.629897301618376,
      6.439965127107662,
      6.251277105715777,
      6.063244996610306,
      5.875288023859842,
      5.686865124537925,
      5.497498202578735,
      5.306795788348731,
      5.114468536111928,
      4.920329365675451,
      4.724291187090104,
      4.526392361384081,
      4.326828577007026,
      4.125950675031721,
      3.92425884173834,
      3.722375977358144,
      3.5210225730097577,
      3.320987267778104,
      3.1230932311431525,
      2.9281637024226312,
      2.736991125069417,
      2.550309450730562,
      2.3687646475704076,
      2.192895661719682,
      2.0231231450528826,
      1.8597468695266648,
      1.702949081688669,
      1.5528020918969265,
      1.4092803142169668,
      1.2722745523750838,
      1.1416044197197563,
      1.017031716653882,
      0.8982727643314637,
      0.7850094160113291,
      0.6768995610732643,
      0.5735865086413245,
      0.47470617956149685,
      0.37989352435820134,
      0.2887866162859886,
      0.20102983928414747,
      0.11627715610041954,
      0.0341941797986596,
      -0.0455403487364581,
      -0.12323354689568593,
      -0.1991773737053052,
      -0.2736482104503053,
      -0.34690720954772014,
      -0.4192006673410242,
      -0.49075936695568156,
      -0.5617983407608391,
      -0.6325167881838534,
      -0.7030979462847776,
      -0.773708895070098,
      -0.8445002862037375,
      -0.9156059896176316,
      -0.9871426590115353,
      -1.0592092223195029,
      -1.1318863082871446,
      -1.2052354629230175,
      -1.2792976198128152,
      -1.3540928149920972,
      -1.4296202362453587,
      -1.5058577837763154,
      -1.5827616716593527,
      -1.66026619079614,
      -1.7382836748770794,
      -1.8167047097152103,
      -1.8953985672110791,
      -1.9742133986367605,
      -2.0529773919744394,
      -2.1315008510994953,
      -2.209578066383735,
      -2.2869894558184,
      -2.3635039983448904,
      -2.4388817150017825,
      -2.5128758093253567,
      -2.585235051260036,
      -2.6557075533538024,
      -2.7240444883107773,
      -2.790003037903183,
      -2.853349179237115,
      -2.9138602483715657,
      -2.9713272339203085,
      -3.025556659778488,
      -3.076371136577568,
      -3.123610987599907,
      -3.1671360036030385,
      -3.2068263076514585,
      -3.2425828394731586,
      -3.2743276068252225,
      -3.3020031208018876,
      -3.3255724054487676,
      -3.34501962738018,
      -3.3603486824494735,
      -3.3715825714893852,
      -3.3787627902213595,
      -3.381948601175733,
      -3.3812153130753013,
      -3.37665407194111,
      -3.368371723495427,
      -3.356489252202124,
      -3.341140199149664,
      -3.322470905185342,
      -3.300640033642671,
      -3.2758177133292006,
      -3.248184589992549,
      -3.217927364971501,
      -3.1852369405137777,
      -3.1503175357032447,
      -3.113386912154755,
      -3.0746755703527535,
      -3.0344210007134578,
      -2.9928651119663687,
      -2.9502527230878544,
      -2.9068267819412106,
      -2.862825016703606,
      -2.818479830988759,
      -2.774013768068474,
      -2.7296378456236345,
      -2.685551391597215,
      -2.6419414147726688,
      -2.5989820108211035,
      -2.5568339913228693,
      -2.515644633065902,
      -2.47554757403093,
      -2.4366628589618826,
      -2.3990971814375732,
      -2.3629453119504817,
      -2.3282898711538067,
      -2.2951997355303027,
      -2.2637355573854903,
      -2.233951330435878,
      -2.205891469403118,
      -2.1795971595115757,
      -2.155106061327202,
      -2.132448788454835,
      -2.111649659981968,
      -2.092727171114111,
      -2.075692928991417,
      -2.0605536458260763,
      -2.0473087586564245,
      -2.0359503580609313,
      -2.026465313286806,
      -2.0188356941584797,
      -2.0130391051753866,
      -2.009049032270153,
      -2.0068351828375723,
      -2.0063636205011948,
      -2.0075969440441233,
      -2.010494363840454,
      -2.015011634643371,
      -2.0211015274227133,
      -2.0287139410912194,
      -2.0377959610418372,
      -2.0482917554667845,
      -2.060142662712271,
      -2.0732870968655575,
      -2.0876608367645586,
      -2.1031974287020554,
      -2.119828099102408,
      -2.1374817229583294,
      -2.1560849296526534,
      -2.175562202269527,
      -2.1958359942159715,
      -2.2168268544794727,
      -2.238453471672085,
      -2.2606329147754045,
      -2.28328094750348,
      -2.3063122542295624,
      -2.3296406886807204,
      -2.3531795305434287,
      -2.376841591251374,
      -2.4005395563345706,
      -2.4241864633584287,
      -2.447696048652875,
      -2.4709831043327735,
      -2.4939637138909925,
      -2.516555606628402,
      -2.538678644085233,
      -2.5602551901623296,
      -2.581210474054303,
      -2.6014729413907935,
      -2.6209747073960457,
      -2.6396520562801085,
      -2.657445508522764,
      -2.6743000297678026,
      -2.6901652705197776,
      -2.7049957766664523,
      -2.7187511696424953,
      -2.7313962946951427,
      -2.7429013364724115,
      -2.7532419014973035,
      -2.7623990679253625,
      -2.7703594023670157,
      -2.777114944847703,
      -2.7826631624610103,
      -2.7870068722845693,
      -2.7901540840670207,
      -2.7921176451007295,
      -2.792915294102703,
      -2.792569600476168,
      -2.791107714620825,
      -2.7885612147869865,
      -2.7849658723953943,
      -2.7803613054729155,
      -2.774790695761049,
      -2.768300497979378,
      -2.7609401380636944,
      -2.752761702205084,
      -2.7438196192440016,
      -2.7341703381418725,
      -2.723872002962175,
      -2.7129841275006576,
      -2.7015672715230314,
      -2.6896827207526792,
      -2.677392172510744,
      -2.6647574291060145,
      -2.651840100586998,
      -2.638701318773996,
      -2.625401464113033,
      -2.611999906319487,
      -2.5985547606621147,
      -2.585122660545866,
      -2.571758547244877,
      -2.558515477364133,
      -2.5454444486849774,
      -2.53259424441344,
      -2.5200112962315946,
      -2.5077395650839063,
      -2.4958204405280635,
      -2.4842926574206,
      -2.4731922294608433,
      -2.462552398919522,
      -2.452403601902318,
      -2.4427734477773946,
      -2.433686712143924,
      -2.4251653421883312,
      -2.4172284734484797,
      -2.409892456969135,
      -2.403170895809786,
      -2.3970746899604354,
      -2.3916120887518018,
      -2.386788749684229,
      -2.382607803387114,
      -2.3790699233082626,
      -2.3761734017188356,
      -2.3739142591035165,
      -2.372286318364068,
      -2.371281259705714,
      -2.370888707071078,
      -2.37109631653237,
      -2.3718898666737918,
      -2.3732533733746477,
      -2.3751692052236537,
      -2.3776181390572875,
      -2.3805794276795234,
      -2.3840308065509532,
      -2.387948664025671,
      -2.3923081980155723,
      -2.397083519219768,
      -2.4022477554958663,
      -2.407773157427061,
      -2.4136312050172566,
      -2.41979271572593,
      -2.42622795338832,
      -2.4329067380662748,
      -2.439798556582918,
      -2.446872673530527,
      -2.4540982425749696,
      -2.461444417685642,
      -2.4688804639536763,
      -2.476375867620516,
      -2.4839004452053057,
      -2.4914244510998573,
      -2.4989186830184353,
      -2.50635458509373,
      -2.5137043484122246,
      -2.520941007796166,
      -2.528038535127349,
      -2.534971928152385,
      -2.541717294875834,
      -2.548251932660093,
      -2.554554401922362,
      -2.5606045936205883,
      -2.566383790935857,
      -2.571874723953124,
      -2.577061617824318,
      -2.581930233580383,
      -2.5864679019385393,
      -2.590663549470224,
      -2.594507717526863,
      -2.597992573445724,
      -2.601111903605322,
      -2.6038610388927887,
      -2.606236878291727,
      -2.6082379210680857,
      -2.609864242720375,
      -2.6111174639578993,
      -2.6120007131781886,
      -2.612518582467565,
      -2.6126770776174233,
      -2.6124835629115215,
      -2.611946704674663,
      -2.611076443463841,
      -2.6098839094856103,
      -2.6083813172913137,
      -2.6065818887118586,
      -2.604499772423844,
      -2.6021499613950225,
      -2.5995482084265285,
      -2.5967109401197943,
      -2.593655169931166,
      -2.5903984110556317,
      -2.5869585889134092,
      -2.5833539542300437,
      -2.5796029969569743,
      -2.5757243616007073,
      -2.5717367641604225,
      -2.5676589109366423,
      -2.563509419814134,
      -2.5593067443754083,
      -2.5550691007997477,
      -2.5508143979669553,
      -2.546560171212603,
      -2.54232351947439,
      -2.5381210466132145,
      -2.533968806145327,
      -2.529882250327847,
      -2.525876183449858,
      -2.5219647191339085,
      -2.518161242016508,
      -2.5144783735971057,
      -2.5109279421780433,
      -2.5075209569537398,
      -2.5042675864687394,
      -2.501177140835293,
      -2.49825805787605,
      -2.4955178933713618,
      -2.492963314765841,
      -2.4906000986459187,
      -2.488433131555284,
      -2.486466414089863,
      -2.4847030703959385,
      -2.4831453689185774,
      -2.4817947299947565,
      -2.480651734851997,
      -2.479716144221746,
      -2.478986919245899,
      -2.4784622448018325,
      -2.4781395551939656,
      -2.4780155614721937,
      -2.4780862810109467,
      -2.478347068583716,
      -2.4787926555168642,
      -2.4794171920642842,
      -2.4802142700763428,
      -2.481176956295166,
      -2.4822978299554666,
      -2.4835690213533472,
      -2.484982251120608,
      -2.4865288700421053,
      -2.4881998994815904,
      -2.489986072197607,
      -2.491877873355292,
      -2.493865581790665,
      -2.4959393110473336,
      -2.4980890503137587,
      -2.500304705131546,
      -2.502576137565188,
      -2.504893206055253,
      -2.507245804411397,
      -2.509623900112751,
      -2.5120175715980917,
      -2.5144170444306897,
      -2.5168127264015014,
      -2.5191952414043453,
      -2.5215554616638287,
      -2.5238845387116147,
      -2.526173932670301,
      -2.5284154398376035,
      -2.530601218390109,
      -2.532723812258619,
      -2.53477617323134,
      -2.536751680837708,
      -2.538644160207289,
      -2.54044789787616,
      -2.5421576554176446,
      -2.5437686809342304,
      -2.545276718353634,
      -2.546678014530562,
      -2.5479693239864236,
      -2.54914791163597,
      -2.550211553451976,
      -2.551158534772611,
      -2.55198764672879,
      -2.552698180437507,
      -2.5532899193537553,
      -2.553763129672776,
      -2.5541185490902905,
      -2.5543573735225924,
      -2.554481242364088,
      -2.5544922221282365,
      -2.5543927886301367,
      -2.5541858124013697,
      -2.5538745419727693,
      -2.5534625749984716,
      -2.552953834251132,
      -2.5523525443829107,
      -2.551663207580416,
      -2.55089057901557,
      -2.5500396415225217,
      -2.5491155800766134,
      -2.548123755787516,
      -2.5470696801117545,
      -2.5459589890222274,
      -2.54479741679594,
      -2.543590770632655,
      -2.5423449067538497,
      -2.54106570455815,
      -2.539759040957145,
      -2.5384307667086854,
      -2.537086683404261,
      -2.5357325210101753,
      -2.5343739166981165,
      -2.533016394169046,
      -2.5316653441479064,
      -2.530326006059365,
      -2.5290034519837157,
      -2.527702570449787,
      -2.526428050087886,
      -2.5251843657833,
      -2.523975765920799,
      -2.522806260729315,
      -2.5216796120123175,
      -2.520599324162997,
      -2.519568636536918,
      -2.518590516716885,
      -2.5176676552944146,
      -2.51680246159366,
      -2.5159970611324085,
      -2.5152532938562477,
      -2.5145727134509572,
      -2.513956588111248,
      -2.513405902097591,
      -2.5129213586058996,
      -2.5125033835308144,
      -2.512152130310597,
      -2.511867485531291,
      -2.511649075397762,
      -2.5114962733806867,
      -2.5114082083791325,
      -2.5113837737800515,
      -2.5114216371579174,
      -2.5115202504328282,
      -2.5116778623379314,
      -2.511892533539313,
      -2.5121621443741913,
      -2.5124844058607425,
      -2.512856872348171,
      -2.5132769545996907,
      -2.5137419330171578,
      -2.5142489713239264,
      -2.5147951300309606
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812568415632462,
      11.675813544610786,
      11.527808966988744,
      11.36917513072041,
      11.200506946852514,
      11.022388074030468,
      10.835384016200665,
      10.640122674434844,
      10.437375737842848,
      10.22804856165761,
      10.013117158522563,
      9.793648799855431,
      9.570790290196083,
      9.345764308906903,
      9.119783915492306,
      8.893983942715577,
      8.66940749436669,
      8.446964071617224,
      8.22738300507378,
      8.011200858321645,
      7.798758814009357,
      7.590203611995316,
      7.385498068094883,
      7.1844436464510295,
      6.986709203323403,
      6.791858200017807,
      6.59937458764063,
      6.408692344833103,
      6.219224560923399,
      6.030382072139493,
      5.841588512659161,
      5.652311564382991,
      5.462088356959636,
      5.2705484207236974,
      5.077426839976513,
      4.882563548619648,
      4.68590333390635,
      4.4875181834104625,
      4.287636936314832,
      4.086643942675034,
      3.885067479672311,
      3.6835519570704376,
      3.482832796679898,
      3.2837060367028816,
      3.0869943118836907,
      2.893512939845083,
      2.704041890312555,
      2.5192948088273206,
      2.3398918086634275,
      2.166343464405871,
      1.9990422770272545,
      1.8382614601569196,
      1.6841590525734784,
      1.5367862677652933,
      1.3961000238867003,
      1.2619776038250932,
      1.1342288556623425,
      1.0126091325019402,
      0.8968316612367752,
      0.7865781822274758,
      0.6815087988224733,
      0.5812707468747854,
      0.4855063015702449,
      0.3938577072211458,
      0.30597049758380346,
      0.22149750148478492,
      0.14010146049415623,
      0.06145688071688997,
      -0.014748685558553937,
      -0.0888137956688262,
      -0.1610222479708931,
      -0.2316428768372032,
      -0.30093014971640053,
      -0.3691244933876949,
      -0.43645181850678916,
      -0.5031235170602097,
      -0.5693365597326427,
      -0.6352735552400908,
      -0.7011027534517873,
      -0.7669779794742783,
      -0.8330384902653976,
      -0.8994087506414583,
      -0.9661981285129824,
      -1.0335005152933083,
      -1.1013938798623375,
      -1.1699397691246123,
      -1.2391827728818683,
      -1.3091496319512181,
      -1.3798478396926421,
      -1.451265937384501,
      -1.523373535444187,
      -1.5961210033820017,
      -1.6694393046734812,
      -1.7432399604121473,
      -1.817415085358684,
      -1.891838004783315,
      -1.966363630734218,
      -2.040829466985771,
      -2.1150573912025115,
      -2.1888549097895633,
      -2.262017042713061,
      -2.3343287593698956,
      -2.4055671940506436,
      -2.4755031392031346,
      -2.5439040200771696,
      -2.6105373151782816,
      -2.6751732377517916,
      -2.7375873490895364,
      -2.7975630451753974,
      -2.854893866051373,
      -2.909385585120353,
      -2.960857789519057,
      -3.0091444001699124,
      -3.054095597540088,
      -3.0955794089885935,
      -3.1334825829238144,
      -3.1677110730944,
      -3.1981903959698172,
      -3.224865136588681,
      -3.2476996834239173,
      -3.26667779692458,
      -3.2818018581278925,
      -3.2930924250094042,
      -3.3005877790634717,
      -3.3043430807769396,
      -3.304429018731457,
      -3.3009308906929604,
      -3.293948717371626,
      -3.2835967230813865,
      -3.270001208478643,
      -3.2532996782266688,
      -3.233640988266705,
      -3.211184627299479,
      -3.1860997624561915,
      -3.158564155570165,
      -3.128758414202461,
      -3.096866316675039,
      -3.0630833709830005,
      -3.0276153165682067,
      -2.9906756515516615,
      -2.9524842414027557,
      -2.913261481600135,
      -2.873228504840952,
      -2.83260333053451,
      -2.7915987975651904,
      -2.7504204654641513,
      -2.7092653532412467,
      -2.6683201471286266,
      -2.627760409447948,
      -2.5877499455702417,
      -2.5484404986640383,
      -2.50997170436956,
      -2.4724709652156127,
      -2.436052728626621,
      -2.400818417533716,
      -2.3668582197453336,
      -2.3342541158189363,
      -2.303078451870648,
      -2.273393673793565,
      -2.245254747526863,
      -2.218713911744105,
      -2.193816617492826,
      -2.170601190236414,
      -2.149099483059101,
      -2.129336734936505,
      -2.111331215430466,
      -2.0950961174232146,
      -2.080638244064473,
      -2.0679558237204456,
      -2.0570415970569926,
      -2.0478833147950515,
      -2.040464080168478,
      -2.034762663821857,
      -2.030753790547781,
      -2.02840839814511,
      -2.0276939241928655,
      -2.028574545250937,
      -2.0310111112057583,
      -2.0349611788323316,
      -2.040379487766719,
      -2.04721804376906,
      -2.055426215393489,
      -2.06495082737741,
      -2.075736245411635,
      -2.0877243184004013,
      -2.1008540969188587,
      -2.1150620839777026,
      -2.1302826785580193,
      -2.1464483074182645,
      -2.1634896866820688,
      -2.1813358325666945,
      -2.1999140545872504,
      -2.2191500959652446,
      -2.2389682909908077,
      -2.2592917402580874,
      -2.280042504135802,
      -2.3011417104001444,
      -2.3225097384536744,
      -2.3440665830416654,
      -2.365732133049349,
      -2.3874264550296442,
      -2.409070090140504,
      -2.430584361992485,
      -2.451891692804504,
      -2.472915925058392,
      -2.4935826454327708,
      -2.5138195261639935,
      -2.5335568168364557,
      -2.5527276125022453,
      -2.571268024382479,
      -2.589117463602798,
      -2.6062189081129428,
      -2.6225191509040533,
      -2.6379690263170676,
      -2.6525236129417156,
      -2.6661424115603856,
      -2.678789496253953,
      -2.6904336379364344,
      -2.7010483999226462,
      -2.71061220444529,
      -2.7191083706828016,
      -2.7265251243012916,
      -2.7328555787000686,
      -2.7380977093748404,
      -2.7422543266365413,
      -2.745332923188797,
      -2.7473454787905167,
      -2.748308104053286,
      -2.748241055523202,
      -2.7471686561959086,
      -2.745119108155195,
      -2.742124346893566,
      -2.7382197569087587,
      -2.73344387696051,
      -2.7278381404664507,
      -2.7214466067370204,
      -2.714315684462536,
      -2.7064938499091444,
      -2.698031361150975,
      -2.6889799708156,
      -2.679392638567349,
      -2.6693232458562424,
      -2.658826313900962,
      -2.647956727502931,
      -2.636769465597061,
      -2.625319340557384,
      -2.613660747288769,
      -2.601847423531557,
      -2.5899322228057637,
      -2.577966900543167,
      -2.566001914339791,
      -2.554086239304541,
      -2.5422671986031804,
      -2.5305903098396803,
      -2.5190991472401536,
      -2.507835219844054,
      -2.4968378655171066,
      -2.486144160343505,
      -2.4757888432423676,
      -2.465804255188184,
      -2.456220292369662,
      -2.447064372919717,
      -2.438361416067992,
      -2.4301338329712583,
      -2.422401528970674,
      -2.4151819154722065,
      -2.4084899315417663,
      -2.4023380740069653,
      -2.3967364349451277,
      -2.391692746270654,
      -2.38721243055245,
      -2.383298657253524,
      -2.3799524039298454,
      -2.3771725215902677,
      -2.3749558038728766,
      -2.373297059665991,
      -2.372189188469718,
      -2.37162325837544,
      -2.3715885861799806,
      -2.3720728197535315,
      -2.3730620698836127,
      -2.374541006565198,
      -2.376492880724357,
      -2.3788995191708975,
      -2.3817414353529878,
      -2.3849980039667975,
      -2.388647553503879,
      -2.392667459437,
      -2.3970342383831977,
      -2.401723643366434,
      -2.406710759678232,
      -2.411970101300332,
      -2.4174757080615104,
      -2.423201243089975,
      -2.4291200902751164,
      -2.435205452236368,
      -2.4414304474614457,
      -2.4477682072809137,
      -2.4541919721200465,
      -2.460675186897051,
      -2.46719159462017,
      -2.473715328863796,
      -2.4802210037200716,
      -2.4866838018361577,
      -2.493079559299908,
      -2.4993848478266845,
      -2.505577053342813,
      -2.511634450767732,
      -2.517536274592232,
      -2.5232627849297877,
      -2.528795328978894,
      -2.53411639736238,
      -2.539209674849447,
      -2.544060086001619,
      -2.5486538345759246,
      -2.552978437272404,
      -2.5570227512186103,
      -2.560776995350429,
      -2.564232765625293,
      -2.5673830593916,
      -2.5702222769529377,
      -2.5727462024563996,
      -2.5749519939629986,
      -2.5768381060979935,
      -2.5784042648000636,
      -2.5796515071565156,
      -2.5805821516625813,
      -2.5811997611932673,
      -2.581509101005951,
      -2.581516092310554,
      -2.581227761688762,
      -2.580652186286998,
      -2.5797984412637374,
      -2.5786765593199195,
      -2.5772974477800004,
      -2.5756728111415184,
      -2.5738150821426293,
      -2.5717373512205244,
      -2.569453294690575,
      -2.5669771024882753,
      -2.5643234048182295,
      -2.5615071991903564,
      -2.5585437777697617,
      -2.5554486552916034,
      -2.5522374978114772,
      -2.548926053290671,
      -2.5455300832754175,
      -2.5420652965448904,
      -2.5385472853356883,
      -2.53499146356456,
      -2.531413007575945,
      -2.5278268002288153,
      -2.524247377365825,
      -2.5206888777243637,
      -2.5171649958573616,
      -2.5136889385549273,
      -2.5102733846548757,
      -2.5069304482407313,
      -2.5036716453111327,
      -2.5005078638868286,
      -2.497449337709995,
      -2.49450562347246,
      -2.491685581318385,
      -2.488997358786411,
      -2.486448378167629,
      -2.4840453269396687,
      -2.4817941513350377,
      -2.479700053144782,
      -2.4777674893166335,
      -2.4760001744350646,
      -2.4744010859364045,
      -2.472972472237272,
      -2.471715862756113,
      -2.470632080737641,
      -2.4697212582351638,
      -2.4689828530874305,
      -2.4684156680807843,
      -2.4680178718501726,
      -2.467787021605372,
      -2.4677200872083827,
      -2.46781348828179,
      -2.468063122553828,
      -2.4684643810255698,
      -2.469012176874278,
      -2.4697009757717487,
      -2.470524827189051,
      -2.4714773963348513,
      -2.4725519968562706,
      -2.4737416240740884,
      -2.4750389885222495,
      -2.4764365499162255,
      -2.4779265512154516,
      -2.479501052774072,
      -2.481151966547116,
      -2.4828710900373023,
      -2.484650140149758,
      -2.486480786332374,
      -2.4883546835984376,
      -2.490263504781258,
      -2.492198972234318,
      -2.4941528885033697,
      -2.4961171662340553,
      -2.4980838573252284,
      -2.5000451806505546,
      -2.5019935487670684,
      -2.5039215934707637,
      -2.5058221897554187,
      -2.5076884787263225,
      -2.509513888903164,
      -2.5112921558835994,
      -2.513017340420389,
      -2.514683845095064,
      -2.516286429165724,
      -2.5178202219336705,
      -2.519280733937327,
      -2.5206638667613177,
      -2.521965920831489,
      -2.523183601640384,
      -2.5243140242686493,
      -2.5253547160743115,
      -2.5263036173017843,
      -2.5271590804879382,
      -2.527919868074225,
      -2.5285851483519695,
      -2.5291544897217775,
      -2.5296278534590013,
      -2.5300055851824523,
      -2.530288404517781,
      -2.530477394080504,
      -2.5305739868483754,
      -2.530579952244674,
      -2.5304973811060885,
      -2.5303286699432794,
      -2.5300765043198226,
      -2.529743841128033,
      -2.5293338901551685,
      -2.528850099072963,
      -2.528296136768112,
      -2.527675867221674,
      -2.526993328134546,
      -2.526252710385102,
      -2.525458337400124,
      -2.5246146443843065,
      -2.523726158040811,
      -2.522797475709964,
      -2.5218332452186187,
      -2.5208381450776223,
      -2.5198168647391954,
      -2.5187740855404654,
      -2.5177144620158085,
      -2.5166426038688705,
      -2.51556305853639,
      -2.5144802946800726,
      -2.513398686176252,
      -2.5123224968321516,
      -2.511255866282568,
      -2.510202796373559,
      -2.509167138683549,
      -2.508152582838133,
      -2.5071626459569183,
      -2.5062006628812488,
      -2.5052697775402537,
      -2.5043729350972477,
      -2.503512875303368,
      -2.5026921266432938,
      -2.501913001592095,
      -2.5011775926121413,
      -2.50048776963613,
      -2.499845177946246,
      -2.499251237113832,
      -2.4987071412276642,
      -2.4982138594916914,
      -2.4977721377975124,
      -2.497382501467209,
      -2.4970452583680296,
      -2.496760502793394,
      -2.4965281205296637,
      -2.496347798015028,
      -2.496219028416344,
      -2.496141114301748,
      -2.4961131748562244,
      -2.4961341535006203,
      -2.4962028264247254,
      -2.496317811220842,
      -2.496477575769812,
      -2.4966804477858586,
      -2.49692462471253,
      -2.497208183838611,
      -2.497529092426982
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.675405599530892,
      11.52678087787545,
      11.367300504908576,
      11.197598020653768,
      11.018289472633406,
      10.82996860341961,
      10.633291770919161,
      10.429064071210052,
      10.21821722738668,
      10.001752452931113,
      9.780765554720409,
      9.556440332271151,
      9.330034894592183,
      9.102770137458396,
      8.875795398769212,
      8.650166970302203,
      8.426788265727714,
      8.206380896045808,
      7.989473574489249,
      7.776390937930026,
      7.567255426785321,
      7.36200733161052,
      7.1604300233529035,
      6.9621788235635895,
      6.766810210850901,
      6.573800132992698,
      6.382577939000902,
      6.192555364266612,
      6.00314455605986,
      5.813773509973976,
      5.623917842260154,
      5.433128544241065,
      5.241052722443461,
      5.047446323298421,
      4.852171465401702,
      4.655201259264068,
      4.456637021165658,
      4.2567340087409296,
      4.055902784553629,
      3.854691451511737,
      3.6537594831281996,
      3.4538516543376065,
      3.2557670455624272,
      3.0603250011535925,
      2.8683326263999938,
      2.680556771509064,
      2.497691453671095,
      2.320335122860611,
      2.1489760699884872,
      1.9839850005733395,
      1.8256147481538574,
      1.6740052702836243,
      1.5291925927455734,
      1.3911212254327403,
      1.2596594052842067,
      1.134611328962994,
      1.0157293475562168,
      0.902726093309213,
      0.79528523847188,
      0.6930706377502523,
      0.5957347641363717,
      0.5029265402470009,
      0.4142950326319225,
      0.3294935264664555,
      0.2481830298099968,
      0.170034645333146,
      0.09473125384879438,
      0.021968646476193524,
      -0.048543775000363984,
      -0.1170822838827093,
      -0.1839086911136419,
      -0.24927109541989956,
      -0.31340429288549304,
      -0.37652945176539254,
      -0.438854268565461,
      -0.5005732155444411,
      -0.5618677609310765,
      -0.6229065434525269,
      -0.683845487823179,
      -0.7448278513800363,
      -0.8059841957927629,
      -0.8674322808335612,
      -0.929276880454621,
      -0.991609524333246,
      -1.0545081709174058,
      -1.1180368206818083,
      -1.182245082385565,
      -1.2471676938321674,
      -1.3128238912683505,
      -1.3792169199480426,
      -1.4463328980061454,
      -1.5141406417268382,
      -1.5825920420489696,
      -1.6516217356906595,
      -1.7211471257113267,
      -1.7910684934987438,
      -1.8612694932946245,
      -1.9316175023174127,
      -2.0019641494348868,
      -2.072146850774692,
      -2.1419902281843672,
      -2.21130766690389,
      -2.279903096246506,
      -2.3475722194688977,
      -2.414104364304028,
      -2.479285634488579,
      -2.542901333023364,
      -2.6047383241665414,
      -2.664587365654575,
      -2.722245362906247,
      -2.77751749879084,
      -2.830219198343785,
      -2.8801777773165838,
      -2.927232971172624,
      -2.9712384981200675,
      -3.0120640291587883,
      -3.049596079859529,
      -3.0837386220725596,
      -3.1144135649429936,
      -3.1415607193256423,
      -3.165138242472543,
      -3.185122409732473,
      -3.2015071200366187,
      -3.2143036568511865,
      -3.223540115484651,
      -3.229260717334112,
      -3.231525178914006,
      -3.2304074072945648,
      -3.225994705271007,
      -3.2183879266977895,
      -3.207700832603962,
      -3.1940582684012724,
      -3.177594896133507,
      -3.1584552857541706,
      -3.1367932900930833,
      -3.1127710981269354,
      -3.086558233162887,
      -3.058327466194695,
      -3.028252239726005,
      -2.9965120170539037,
      -2.9632957240345825,
      -2.9287972060219474,
      -2.893213726648089,
      -2.85674557122037,
      -2.8195915009646337,
      -2.7819463877232162,
      -2.744001511689698,
      -2.70594125432032,
      -2.667941633928137,
      -2.6301696191442074,
      -2.592782555746728,
      -2.5559277099054465,
      -2.5197419281322935,
      -2.4843514127002697,
      -2.4498716089410566,
      -2.4164071978801562,
      -2.384052250826975,
      -2.352890885852561,
      -2.322997963845852,
      -2.294442738315424,
      -2.267288746646516,
      -2.2415917353989268,
      -2.2174002050212542,
      -2.1947563142760376,
      -2.173695387419994,
      -2.1542453029626096,
      -2.1364272745212065,
      -2.1202580585293855,
      -2.105746417411517,
      -2.0928934569633615,
      -2.081694929085424,
      -2.0721416455388733,
      -2.0642198056875802,
      -2.057911302341337,
      -2.053194003940436,
      -2.0500420132898727,
      -2.0484259024460476,
      -2.048312925188507,
      -2.0496671443623877,
      -2.052449417645496,
      -2.056617853974844,
      -2.0621279498055824,
      -2.068932670205167,
      -2.076982560475333,
      -2.08622576848271,
      -2.09660813346244,
      -2.108073358817028,
      -2.1205630967473197,
      -2.1340167565785837,
      -2.148371641970007,
      -2.163563330790791,
      -2.179525791637651,
      -2.196191510527892,
      -2.2134916292865356,
      -2.2313560966811488,
      -2.2497138335576072,
      -2.2684929563178984,
      -2.287620948550245,
      -2.307024808664408,
      -2.3266312722906637,
      -2.346367048763356,
      -2.366159074354643,
      -2.385934832923409,
      -2.405622625432057,
      -2.425151804415255,
      -2.4444530498271764,
      -2.46345864696317,
      -2.482102763122371,
      -2.5003217211254722,
      -2.5180542663987935,
      -2.5352418254224243,
      -2.551828752796694,
      -2.567762564597357,
      -2.5829941560450513,
      -2.5974780011428638,
      -2.6111723326628753,
      -2.6240393007494798,
      -2.6360451091778057,
      -2.6471601283240194,
      -2.657358983522339,
      -2.666620619089292,
      -2.6749283588123554,
      -2.6822699555504856,
      -2.6886375333724923,
      -2.6940275401347655,
      -2.6984406888476378,
      -2.7018818766544737,
      -2.7043600824048726,
      -2.7058882436395844,
      -2.70648293824111,
      -2.706164210014733,
      -2.704955594954068,
      -2.7028839498082244,
      -2.6999793167205275,
      -2.6962746777201025,
      -2.6918056757921387,
      -2.6866103801540935,
      -2.6807290445743877,
      -2.674203860534165,
      -2.6670787065595527,
      -2.6593988956598396,
      -2.6512109224391596,
      -2.6425622112978515,
      -2.633500867537067,
      -2.6240754328010816,
      -2.6143346460532584,
      -2.6043272117675658,
      -2.59410157611784,
      -2.583705712740079,
      -2.5731869187960315,
      -2.562591622101048,
      -2.551965200537995,
      -2.5413518137519713,
      -2.530794248152525,
      -2.520333775220022,
      -2.510010023251301,
      -2.4998608630746713,
      -2.4899223072622307,
      -2.480228422771208,
      -2.4708112568461824,
      -2.461700775618096,
      -2.4529248152626946,
      -2.4445090449750264,
      -2.4364769412596647,
      -2.428849772631142,
      -2.4216465946694465,
      -2.4148842543039826,
      -2.4085774026384117,
      -2.402738516002685,
      -2.3973779241047395,
      -2.392503844823684,
      -2.3881224251521744,
      -2.3842377872569256,
      -2.3808520797983723,
      -2.3779655336368344,
      -2.3755765207310655,
      -2.3736816171291584,
      -2.3722756688526436,
      -2.371351860220417,
      -2.3709017848057155,
      -2.3709155184630566,
      -2.3713817155828565,
      -2.3722877057501375,
      -2.37361950719669,
      -2.375361814593525,
      -2.3774981658752443,
      -2.3800110592412187,
      -2.38288203592677,
      -2.386091763875694,
      -2.3896201220227122,
      -2.393446285348209,
      -2.3975488102238574,
      -2.4019057201681577,
      -2.40649459201425,
      -2.411292641816251,
      -2.4162768146072127,
      -2.4214238701146686,
      -2.426710462533569,
      -2.4321132249803514,
      -2.4376088532525357,
      -2.443174188579287,
      -2.448786299384297,
      -2.4544225609689394,
      -2.460060733990431,
      -2.4656790414487926,
      -2.4712562476421356,
      -2.476771725266489,
      -2.4822055216146177,
      -2.487538422846507,
      -2.492752014788201,
      -2.4978287401403647,
      -2.5027519513727032,
      -2.507505959603912,
      -2.5120760788630037,
      -2.5164486656988365,
      -2.520611154121453,
      -2.524552085341799,
      -2.528261132661558,
      -2.531729121098138,
      -2.5349480419882355,
      -2.537911062101516,
      -2.5406125278378036,
      -2.5430479640649972,
      -2.5452140678173314,
      -2.547108697252922,
      -2.5487308554055597,
      -2.5500806693857903,
      -2.551159319181704,
      -2.551968994753723,
      -2.552512920604673,
      -2.552795324321114,
      -2.5528213958644135,
      -2.552597243538751,
      -2.5521298468834153,
      -2.551427006854142,
      -2.550497293139064,
      -2.549350004334068,
      -2.547995115267389,
      -2.546443200036045,
      -2.544705370987553,
      -2.542793218293589,
      -2.540718749270825,
      -2.5384943275716867,
      -2.5361326119851366,
      -2.5336464959848115,
      -2.531049047910729,
      -2.5283534519700965,
      -2.5255729503120317,
      -2.5227207866518215,
      -2.5198101514780165,
      -2.516854129348099,
      -2.5138656476474153,
      -2.5108574279808287,
      -2.507841940004884,
      -2.50483135721468,
      -2.501837515713704,
      -2.4988718757848556,
      -2.495945485812442,
      -2.4930689491099107,
      -2.49025239394054,
      -2.4875054462411046,
      -2.4848372049795704,
      -2.4822562207020846,
      -2.4797704769477362,
      -2.4773873743779906,
      -2.4751137176600246,
      -2.4729557052631033,
      -2.470918921884442,
      -2.4690083335199944,
      -2.467228284907925,
      -2.465582499677683,
      -2.464074082463665,
      -2.4627055239665134,
      -2.46147870762676,
      -2.460394918428727,
      -2.459454853992879,
      -2.458658637247907,
      -2.4580058309626436,
      -2.457495454034876,
      -2.4571259998390884,
      -2.456895466338356,
      -2.45680137389451,
      -2.4568407771868404,
      -2.457010288012597,
      -2.457306098843214,
      -2.4577240076596834,
      -2.45825944326781,
      -2.4589074917934433,
      -2.4596629232501472,
      -2.4605202189286177,
      -2.461473599185694,
      -2.4625170513362042,
      -2.463644357986589,
      -2.464849125409946,
      -2.466124803881887,
      -2.467464707944277,
      -2.468862060640981,
      -2.4703100249258547,
      -2.471801731000492,
      -2.473330303169428,
      -2.474888886392802,
      -2.476470672130517,
      -2.4780689234791873,
      -2.4796769992730336,
      -2.4812883775076924,
      -2.4828966780397326,
      -2.4844956838792402,
      -2.486079361514802,
      -2.487641880228449,
      -2.48917763015672,
      -2.4906812392127615,
      -2.4921475886056896,
      -2.4935718271033056,
      -2.4949493839849097,
      -2.496275980430843,
      -2.497547639760842,
      -2.4987606869187915,
      -2.4999117508275512,
      -2.5009977824032625,
      -2.502016060890335,
      -2.5029641970779726,
      -2.5038401351862154,
      -2.5046421534072842,
      -2.50536886329757,
      -2.506019207430752,
      -2.5065924558737467,
      -2.5070882016955047,
      -2.5075063549851593,
      -2.507847135599049,
      -2.5081110651920784,
      -2.508298957946832,
      -2.508411910462295,
      -2.5084512906561676,
      -2.5084187256165418,
      -2.5083160889506972,
      -2.5081454874456592,
      -2.507909247085667,
      -2.5076098981691364,
      -2.5072501602371173,
      -2.5068329266621094,
      -2.5063612486705296,
      -2.505838319260551,
      -2.505267457071176,
      -2.5046520898255302,
      -2.5039957378627373,
      -2.5033019993663244,
      -2.5025745364225522,
      -2.5018170550952035,
      -2.501033288834239,
      -2.5002269827077948,
      -2.499401878153037,
      -2.4985616980932863,
      -2.497710132723543,
      -2.4968508255278987,
      -2.4959873600053997,
      -2.495123246867083,
      -2.4942619120234535,
      -2.4934066848915792,
      -2.492560788048539,
      -2.491727326915273,
      -2.49090928064527,
      -2.490109493278622,
      -2.4893306660766275,
      -2.48857535037226,
      -2.4878459415912406,
      -2.487144673570574,
      -2.486473613773555,
      -2.4858346595661343,
      -2.4852295349786413,
      -2.484659788392226,
      -2.4841267917905814,
      -2.4836317423635097,
      -2.483175659846988,
      -2.482759385984983,
      -2.4823835858596244,
      -2.4820487495835035,
      -2.481755194677929,
      -2.4815030691535482,
      -2.4812923551307353,
      -2.4811228730889727,
      -2.4809942863506866,
      -2.4809061064711684,
      -2.4808576987558544,
      -2.4808482882182914,
      -2.4808769663166372,
      -2.480942697457067,
      -2.4810443261600534,
      -2.481180584639443
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.675203856317241,
      11.526113332863337,
      11.36595307989136,
      11.195394849742637,
      11.015085629136482,
      10.825645793370214,
      10.627758945257092,
      10.422260566619835,
      10.21010686814371,
      9.992322726679049,
      9.77003091638454,
      9.544453677258813,
      9.316875222773485,
      9.088527907019012,
      8.860579820403403,
      8.634089322275033,
      8.409956546271651,
      8.18890039809086,
      7.971438497010161,
      7.757874621459494,
      7.548311359429929,
      7.34267311766046,
      7.140733672770454,
      6.942144291940622,
      6.746449309056042,
      6.553116235889615,
      6.361570268596234,
      6.171221657479352,
      5.981484241274701,
      5.79178991989003,
      5.601621968150777,
      5.410543168142815,
      5.218215385699363,
      5.024412428621844,
      4.829015234094122,
      4.632020597787619,
      4.433553607717645,
      4.233889685022861,
      4.03345818588558,
      3.8328205576750585,
      3.6326454739855163,
      3.4336820929635596,
      3.2367287578611617,
      3.0425992270782003,
      2.8520928022187944,
      2.6659640734770016,
      2.484891274118355,
      2.3094557453730538,
      2.140128545502198,
      1.9772640357841027,
      1.8211004709970244,
      1.6717653464753182,
      1.5292847733936485,
      1.3935955680107646,
      1.2645605558015565,
      1.1419816251375925,
      1.025611096985375,
      0.91516312700675,
      0.8103247823005758,
      0.7107647835039125,
      0.6161420793023107,
      0.5261118037387593,
      0.4403298531651373,
      0.3584571438086995,
      0.280162523628589,
      0.20512500411690193,
      0.1330353222311686,
      0.06359696522644384,
      -0.0034732268604353855,
      -0.06844455410632279,
      -0.1315722459460585,
      -0.19309823311817773,
      -0.2532517810778639,
      -0.3122492833268064,
      -0.3702945029536624,
      -0.427578940423166,
      -0.48428218421714553,
      -0.5405722274556874,
      -0.5966057366672173,
      -0.6525282623632026,
      -0.7084743844496463,
      -0.7645677871577203,
      -0.820921261349886,
      -0.8776366290019357,
      -0.9348044693533811,
      -0.9925039449734246,
      -1.0508026592208273,
      -1.109756319902224,
      -1.1694083580609556,
      -1.229789514007582,
      -1.2909172613988227,
      -1.3527953688650562,
      -1.4154135643468722,
      -1.4787468238482415,
      -1.5427543942770647,
      -1.6073803429326905,
      -1.6725537721012307,
      -1.7381888437001798,
      -1.8041849631084916,
      -1.870427142425905,
      -1.9367861787104435,
      -2.003119354072666,
      -2.0692718635462004,
      -2.1350780360520583,
      -2.2003626042481406,
      -2.264941456975689,
      -2.3286237318751715,
      -2.3912142538543737,
      -2.452515523405875,
      -2.5123297660414865,
      -2.5704610009584647,
      -2.6267170859399536,
      -2.680911697309251,
      -2.7328662070101575,
      -2.782411422974461,
      -2.8293887744936623,
      -2.873650746102743,
      -2.9150631373485925,
      -2.9535063892753994,
      -2.9888763769540194,
      -3.0210849987113453,
      -3.0500606718320467,
      -3.0757485952116386,
      -3.0981108816499954,
      -3.117126249517456,
      -3.132789937922416,
      -3.1451132422307877,
      -3.154123009381586,
      -3.159861123009579,
      -3.162383921884242,
      -3.1617613405445253,
      -3.158075586538224,
      -3.151421207711717,
      -3.14190478340135,
      -3.12964384885387,
      -3.114765136349334,
      -3.097403685206011,
      -3.0777028679776506,
      -3.0558136018003887,
      -3.0318933883170964,
      -3.006105323853745,
      -2.9786136539632295,
      -2.949582249298716,
      -2.919179209254937,
      -2.887578785030174,
      -2.8549584200853433,
      -2.8214967118733365,
      -2.787371542307186,
      -2.7527589371520396,
      -2.7178318718319154,
      -2.682757680838018,
      -2.6476969657925618,
      -2.612802992459218,
      -2.5782216231462733,
      -2.544090047845085,
      -2.5105359521907866,
      -2.477677356249283,
      -2.4456233449558913,
      -2.4144745147941875,
      -2.3843225583981043,
      -2.35525211441256,
      -2.3273403191716433,
      -2.3006561631577416,
      -2.275261177556575,
      -2.2512101758059555,
      -2.228551637528037,
      -2.207326461286592,
      -2.187568084067932,
      -2.1693036793853273,
      -2.1525561895297374,
      -2.1373403085603697,
      -2.123662802392776,
      -2.1115249424214975,
      -2.1009229865746972,
      -2.091848500666651,
      -2.0842886588318255,
      -2.078226525883538,
      -2.073641320639259,
      -2.0705086597869014,
      -2.0688007820989274,
      -2.0684867536717455,
      -2.0695325299638108,
      -2.071900934352291,
      -2.0755522218162548,
      -2.080444172953585,
      -2.0865321927793796,
      -2.093769428962008,
      -2.1021068808868772,
      -2.111493508701727,
      -2.1218763390481064,
      -2.133200570046148,
      -2.1454096766788875,
      -2.1584453730497044,
      -2.1722475497622686,
      -2.186754671703913,
      -2.2019039700207643,
      -2.21763158130638,
      -2.233872696704189,
      -2.2505617212775264,
      -2.2676324445561056,
      -2.285018222052838,
      -2.3026521674882185,
      -2.3204673553215063,
      -2.338397032744243,
      -2.356374840465092,
      -2.3743350404774137,
      -2.392212749255136,
      -2.409944175404279,
      -2.427466859371736,
      -2.444719912792784,
      -2.4616442564966645,
      -2.478182854104917,
      -2.494280939109344,
      -2.5098862340027015,
      -2.5249491588251645,
      -2.53942302765304,
      -2.5532642308187614,
      -2.566432401469086,
      -2.578890564690013,
      -2.590605268695068,
      -2.60154671091202,
      -2.61168886504482,
      -2.6210095115691474,
      -2.6294902745273854,
      -2.6371166483990947,
      -2.643878004233751,
      -2.6497675742745197,
      -2.654782415945708,
      -2.6589233560305585,
      -2.662194915047308,
      -2.664605213341787,
      -2.6661658597273017,
      -2.666891823209956,
      -2.666801142805905,
      -2.665914742380806,
      -2.664256442343999,
      -2.661852814746949,
      -2.658733051426436,
      -2.6549286983933458,
      -2.6504734285802467,
      -2.6454028293266134,
      -2.6397541855300304,
      -2.6335662599412877,
      -2.6268790721210133,
      -2.619733677072905,
      -2.6121719454545715,
      -2.6042363462101283,
      -2.5959697334357044,
      -2.5874151381092423,
      -2.5786155660093315,
      -2.569613802915001,
      -2.560452228090225,
      -2.551172636298755,
      -2.541816070042965,
      -2.5324226619829413,
      -2.523031487861129,
      -2.513680430956153,
      -2.5044060579779286,
      -2.495243506503754,
      -2.4862263840902017,
      -2.4773866792606336,
      -2.46875468369458,
      -2.460358926137984,
      -2.4522261170564414,
      -2.4443811041577868,
      -2.4368468380127406,
      -2.4296443475124443,
      -2.422792724631822,
      -2.4163091180353007,
      -2.410208735062616,
      -2.4045048511314153,
      -2.3992088262458817,
      -2.3943301279929785,
      -2.389876360792671,
      -2.3858533005419083,
      -2.3822649343143887,
      -2.379113504389341,
      -2.376399556615506,
      -2.3741219920204495,
      -2.3722781219236997,
      -2.3708637259974403,
      -2.369873112846411,
      -2.369299182983345,
      -2.3691334940238695,
      -2.3693663604412194,
      -2.3699868942570133,
      -2.3709829632028767,
      -2.372341339668243,
      -2.3740478070669693,
      -2.376087233185119,
      -2.378443644259525,
      -2.381100299643942,
      -2.3840397671493188,
      -2.3872439985823637,
      -2.3906944054856862,
      -2.3943719353299033,
      -2.398257147279441,
      -2.402330288143536,
      -2.406571368017712,
      -2.4109602353864568,
      -2.415476651596312,
      -2.4201003645682397,
      -2.4248111813996625,
      -2.4295890400758666,
      -2.4344140795566287,
      -2.4392667084044564,
      -2.444127671448733,
      -2.4489781143507097,
      -2.45379964630669,
      -2.4585743997970626,
      -2.463285087936951,
      -2.46791505883768,
      -2.4724483468690512,
      -2.4768697204618926,
      -2.4811647264746663,
      -2.485319731230164,
      -2.4893219571926624,
      -2.4931595158680477,
      -2.4968214368865707,
      -2.500297692503554,
      -2.503579218117847,
      -2.506657928584414,
      -2.509526729582365,
      -2.512179525379007,
      -2.5146112218327943,
      -2.5168177253285866,
      -2.518795937190629,
      -2.520543744156902,
      -2.522060004934155,
      -2.523344532593988,
      -2.524398073505322,
      -2.5252222821711743,
      -2.525819693213322,
      -2.5261936568788084,
      -2.5263482857902697,
      -2.5262884670691066,
      -2.526019830567237,
      -2.5255487073091345,
      -2.5248820860115364,
      -2.5240275678502986,
      -2.5229933192979273,
      -2.521788028101021,
      -2.5204208678347544,
      -2.51890143494109,
      -2.517239691203623,
      -2.515445912801439,
      -2.513530639532098,
      -2.5115046243515513,
      -2.509378783223157,
      -2.507164145951242,
      -2.504871807803644,
      -2.502512881925589,
      -2.5000984535575124,
      -2.4976395356623935,
      -2.495147025888872,
      -2.4926316654756273,
      -2.4901039999035093,
      -2.4875743418800464,
      -2.4850527362133024,
      -2.482548926884224,
      -2.4800723263874165,
      -2.4776319875524284,
      -2.475236577309001,
      -2.4728943530208096,
      -2.470613141543541,
      -2.4684003201615896,
      -2.4662628002532268,
      -2.4642070131516896,
      -2.4622388982974095,
      -2.4603638940747237,
      -2.458586930369468,
      -2.4569124234822226,
      -2.455344273388581,
      -2.4538858631036597,
      -2.452540059571913,
      -2.4513092169244395,
      -2.4501951815928487,
      -2.449199298994389,
      -2.448322421881033,
      -2.4475649204686927,
      -2.4469266954000446,
      -2.446407200078943,
      -2.446005450364618,
      -2.445720033390196,
      -2.4455491239194527,
      -2.4454905020165887,
      -2.445541571572508,
      -2.445699380018482,
      -2.445960638463025,
      -2.4463217427332324,
      -2.446778794860247,
      -2.4473276170961378,
      -2.447963758998229,
      -2.4486825414897093,
      -2.449479085441665,
      -2.4503483354482802,
      -2.4512850832376825,
      -2.4522839912176453,
      -2.4533396160198526,
      -2.454446431625507,
      -2.45559885259608,
      -2.4567912566609937,
      -2.458018007058721,
      -2.459273474366022,
      -2.4605520579830085,
      -2.46184820680611,
      -2.463156439232072,
      -2.4644713627129433,
      -2.4657876921678077,
      -2.4671002678299736,
      -2.468404072117165,
      -2.4696942457505617,
      -2.470966102663113,
      -2.472215144002783,
      -2.4734370711579947,
      -2.47462779765758,
      -2.4757834599541817,
      -2.47690042717826,
      -2.477975309750007,
      -2.479004966790923,
      -2.479986512483068,
      -2.4809173211719395,
      -2.4817950312417243,
      -2.482617548354817,
      -2.4833830468701343,
      -2.484089970574497,
      -2.484737032389552,
      -2.4853232127704366,
      -2.4858477571279742,
      -2.4863101599726796,
      -2.486710159449965,
      -2.48704774560524,
      -2.4873231547978447,
      -2.4875368624550434,
      -2.4876895755110144,
      -2.487782223715109,
      -2.487815950625181,
      -2.4877921036032444,
      -2.4877122234052034,
      -2.4875780333478446,
      -2.4873914277333187,
      -2.487154460128931,
      -2.4868693311086187,
      -2.4865383759301505,
      -2.4861640517818224,
      -2.4857489247942874,
      -2.4852956571408265,
      -2.4848069942175877,
      -2.484285751362781,
      -2.483734800997405,
      -2.4831570596705075,
      -2.482555475230549,
      -2.4819330147993606,
      -2.481292651936673,
      -2.480637355120253,
      -2.479970075978198,
      -2.479293738047408,
      -2.4786112258402935,
      -2.4779253746093395,
      -2.47723896035894,
      -2.4765546904147815,
      -2.4758751945032573,
      -2.475203016469403,
      -2.4745406064549718,
      -2.4738903138138837,
      -2.47325438030243,
      -2.4726349340725,
      -2.4720339844335864,
      -2.4714534169153617,
      -2.4708949891526664,
      -2.470360327349215,
      -2.4698509232024484,
      -2.4693681315763705,
      -2.4689131688517905,
      -2.468487111703137,
      -2.468090896303551,
      -2.4677253184935233,
      -2.467391034326142,
      -2.4670885610624373,
      -2.466818278714062,
      -2.4665804320007987,
      -2.4663751328174914,
      -2.4662023633804644,
      -2.4660619795855103,
      -2.4659537145666883,
      -2.4658771831060773,
      -2.465831885940515,
      -2.4658172147653605
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.675076134776551,
      11.525613306601135,
      11.364881101632628,
      11.193588864788461,
      11.012413751238395,
      10.82200080101468,
      10.62306176953042,
      10.416459234893408,
      10.203169805119586,
      9.98424129677329,
      9.760821484877768,
      9.534170513531082,
      9.305593420259605,
      9.076341170819504,
      8.84759193458734,
      8.620405149785128,
      8.395683783144415,
      8.17414190985397,
      7.956279691597659,
      7.742381036465372,
      7.53253480223736,
      7.326659079394336,
      7.124523011338727,
      6.925764571705627,
      6.729916931900244,
      6.536440299582823,
      6.344755363768394,
      6.154271082629819,
      5.96440226794991,
      5.774584725066402,
      5.584309570472034,
      5.393149858104924,
      5.200779765585376,
      5.006987844752544,
      4.811672216179085,
      4.614848175544914,
      4.416662482040479,
      4.217405910769019,
      4.017520657878956,
      3.817576920332085,
      3.618248688956606,
      3.4202866185300747,
      3.2244866458285757,
      3.0316569801991053,
      2.8425895983585763,
      2.6580278311213936,
      2.478636723214418,
      2.304983903723099,
      2.137527157133492,
      1.976608671536828,
      1.8224562648152993,
      1.6751891339131184,
      1.5348272092186748,
      1.401303311507265,
      1.2744777591302583,
      1.1541516197255912,
      1.0400787988508076,
      0.9319764325653268,
      0.8295356549787328,
      0.7324308218365119,
      0.6403273653913445,
      0.5528865328478407,
      0.4697707898999257,
      0.3906482574863707,
      0.31519516570894895,
      0.24309791758996838,
      0.1740545663549058,
      0.10777576594506566,
      0.043985306468987476,
      -0.017579583419197485,
      -0.07716792692223469,
      -0.13501562705849118,
      -0.19134641324586488,
      -0.2463716969750998,
      -0.3002908405256712,
      -0.3532916815179052,
      -0.405550981423178,
      -0.4572348501115761,
      -0.5084991336959994,
      -0.5594895776626485,
      -0.6103420114169386,
      -0.6611828768742957,
      -0.7121294333679695,
      -0.763289848336868,
      -0.8147632218641051,
      -0.8666395452794372,
      -0.9189995949729695,
      -0.9719147642396737,
      -1.0254468375080326,
      -1.0796476838646176,
      -1.134558909280805,
      -1.1902115328204885,
      -1.2466254623278263,
      -1.303808979081438,
      -1.3617585532984413,
      -1.4204585289291938,
      -1.4798807778558543,
      -1.5399842253962497,
      -1.6007138658430369,
      -1.6620012200290393,
      -1.723764752654678,
      -1.7859100055064365,
      -1.8483298820648209,
      -1.9109048779522377,
      -1.9735034177060213,
      -2.035983098026397,
      -2.0981916389127395,
      -2.1599673217419046,
      -2.2211407171255804,
      -2.2815365900092,
      -2.3409755119230042,
      -2.3992755725091732,
      -2.4562541573759438,
      -2.5117297594869488,
      -2.5655237876483654,
      -2.617462337657257,
      -2.667377893022298,
      -2.7151108960094277,
      -2.760510906512462,
      -2.803437167078245,
      -2.8437604541560924,
      -2.88136453264032,
      -2.916146977709398,
      -2.9480198176628156,
      -2.976910148090719,
      -3.002760586833656,
      -3.025529164903418,
      -3.045189405114439,
      -3.061730163357071,
      -3.075155266580532,
      -3.0854831712803215,
      -3.0927465351956682,
      -3.0969917152487954,
      -3.098278200905001,
      -3.096677722009573,
      -3.0922730824484597,
      -3.0851582676139624,
      -3.075437975628053,
      -3.063226587634327,
      -3.04864695906405,
      -3.031828942091284,
      -3.0129092888986224,
      -2.992031114665022,
      -2.969342996864975,
      -2.9449980344989113,
      -2.919152004074874,
      -2.891958776629186,
      -2.863572701898103,
      -2.8341511123230556,
      -2.8038549710670444,
      -2.7728450859562357,
      -2.7412806247541064,
      -2.709318823728556,
      -2.677113572415568,
      -2.644813808584384,
      -2.6125628590622267,
      -2.5804978563304326,
      -2.548749234297405,
      -2.517440306586029,
      -2.486686927157711,
      -2.4565972334528134,
      -2.4272714692690465,
      -2.398801883893509,
      -2.371273092394159,
      -2.344762342511651,
      -2.3193399459099626,
      -2.295069597741632,
      -2.2720078961779278,
      -2.250204341743277,
      -2.2297008729591106,
      -2.210532886504967,
      -2.19273153385717,
      -2.1763212242656733,
      -2.161317450871596,
      -2.1477297162102267,
      -2.1355623032000595,
      -2.124814603256279,
      -2.1154814093366032,
      -2.1075531973161525,
      -2.1010163935734156,
      -2.095853627859999,
      -2.092043970819372,
      -2.089563155420412,
      -2.0883837826045304,
      -2.0884754638371006,
      -2.0898047340473243,
      -2.092335480957536,
      -2.096029266814129,
      -2.1008453647358882,
      -2.1067408905341347,
      -2.1136709304608092,
      -2.121588699197039,
      -2.130445641755278,
      -2.140191510388527,
      -2.1507744767709656,
      -2.162141245407392,
      -2.174237169779482,
      -2.187006223555405,
      -2.2003909862545843,
      -2.2143330320886845,
      -2.2287731210282584,
      -2.2436513474091937,
      -2.258907296130713,
      -2.2744802072940846,
      -2.290309148378015,
      -2.30633319408559,
      -2.3224916134603237,
      -2.3387240632327724,
      -2.3549707864426557,
      -2.3711728148696376,
      -2.3872721747325247,
      -2.403212093470784,
      -2.418937206342145,
      -2.434393761091727,
      -2.4495298191596615,
      -2.4642954514713873,
      -2.47864292712501,
      -2.492526893891649,
      -2.505904547989856,
      -2.518735808695864,
      -2.5309834845736354,
      -2.5426133739776953,
      -2.5535943726798123,
      -2.563898572622239,
      -2.5735013432232967,
      -2.582381395501403,
      -2.590520828007177,
      -2.5979051543658453,
      -2.604523312687618,
      -2.6103676566419143,
      -2.615433929405098,
      -2.6197212191846693,
      -2.6232318982568676,
      -2.625971546153208,
      -2.6279488568811806,
      -2.6291755318493943,
      -2.629666159044312,
      -2.629438059258323,
      -2.6285109916720395,
      -2.626907073036437,
      -2.62465073895334,
      -2.6217686280311936,
      -2.6182893726481775,
      -2.6142433771383145,
      -2.609662630622417,
      -2.6045805165039795,
      -2.599031620475736,
      -2.5930515378717405,
      -2.586676682138308,
      -2.5799440944323693,
      -2.572891256802095,
      -2.5655559091652145,
      -2.5579758707977946,
      -2.550188868173665,
      -2.5422323692398088,
      -2.534143424918901,
      -2.5259585186959277,
      -2.517713424874669,
      -2.509443075739637,
      -2.5011814379648647,
      -2.492961398993155,
      -2.4848146630438874,
      -2.4767716571714544,
      -2.468861447344665,
      -2.4611116642683117,
      -2.453548439214708,
      -2.4461963040242805,
      -2.439078149695202,
      -2.4322152443358283,
      -2.4256272070441347,
      -2.4193319884384272,
      -2.413345858645199,
      -2.407683402912604,
      -2.4023575243123867,
      -2.3973794523694796,
      -2.3927587582315994,
      -2.388503375132576,
      -2.384619624353943,
      -2.38111224542084,
      -2.37798443090557,
      -2.3752378650294332,
      -2.3728727659798925,
      -2.370887931418063,
      -2.3692807867208123,
      -2.368047414870446,
      -2.367182574637862,
      -2.3666797976210696,
      -2.3665314797110564,
      -2.3667288730850515,
      -2.367262127069154,
      -2.3681204216074723,
      -2.369292031004202,
      -2.3707643886614793,
      -2.372524152368699,
      -2.3745572702598254,
      -2.3768490471765884,
      -2.3793842114290435,
      -2.382146981638364,
      -2.385121133877271,
      -2.38829006832584,
      -2.3916368760023072,
      -2.395144405255874,
      -2.3987953274695033,
      -2.402572202302837,
      -2.4064575422857923,
      -2.4104338763336024,
      -2.4144838119483385,
      -2.41859009637069,
      -2.4227356765794603,
      -2.42690375698507,
      -2.43107785589435,
      -2.4352418598080163,
      -2.4393800754451904,
      -2.443477279718127,
      -2.4475187669605085,
      -2.4514903936289474,
      -2.455378620138047,
      -2.459170549899564,
      -2.462853965131008,
      -2.4664173594634393,
      -2.469849967334963,
      -2.473141789910015,
      -2.4762836173273506,
      -2.479267047751933,
      -2.4820845028021883,
      -2.4847292389389124,
      -2.487195355637543,
      -2.489477799756388,
      -2.4915723664446743,
      -2.4934756965944005,
      -2.495185270398521,
      -2.4966993979176575,
      -2.498017206250918,
      -2.4991386234307913,
      -2.5000643595598144,
      -2.500795884754883,
      -2.501335404421473,
      -2.5016858321384405,
      -2.5018507598629034,
      -2.5018344261935694,
      -2.501641672277855,
      -2.501277869997278,
      -2.500748918171514,
      -2.500061222329454,
      -2.4992216552516084,
      -2.4982375165130843,
      -2.4971164913854276,
      -2.4958666092044703,
      -2.4944962096275565,
      -2.4930139035633427,
      -2.4914285191685086,
      -2.48974905834761,
      -2.487984655530821,
      -2.4861445366191983,
      -2.4842379791114126,
      -2.4822742729711598,
      -2.48026268267879,
      -2.478212410523539,
      -2.476132561134346,
      -2.4740321074441147,
      -2.4719198586561153,
      -2.4698044293990193,
      -2.467694210699653,
      -2.4655973430638483,
      -2.463521691005275,
      -2.4614748198814276,
      -2.4594639745386364,
      -2.4574960595652535,
      -2.4555776219888545,
      -2.453714835641387,
      -2.4519134876820146,
      -2.450178966996769,
      -2.448516254569292,
      -2.4469299155042186,
      -2.4454240932685685,
      -2.444002505516506,
      -2.442668441797915,
      -2.4414247629132677,
      -2.4402739020285398,
      -2.4392178672788667,
      -2.4382582459674835,
      -2.437396212396099,
      -2.4366325427232427,
      -2.4359676164628037,
      -2.435401422480867,
      -2.4349335697240067,
      -2.434563299134624,
      -2.4342894963599035,
      -2.4341107054698767,
      -2.4340251343632544,
      -2.4340306551601274,
      -2.434124841392143,
      -2.4343049906427816,
      -2.434568142153365,
      -2.4349110948670436,
      -2.435330425838959,
      -2.4358225089648196,
      -2.4363835342338893,
      -2.4370095268219174,
      -2.4376963663811657,
      -2.4384398064272785,
      -2.439235493874625,
      -2.440078988007649,
      -2.440965779830331,
      -2.44189131080134,
      -2.442850991413011,
      -2.443840219436774,
      -2.4448543980384048,
      -2.4458889527978216,
      -2.4469393489316977,
      -2.448001107424503,
      -2.4490698207061947,
      -2.450141167983078,
      -2.4512109295904905,
      -2.452275000526331,
      -2.4533294033776074,
      -2.454370300598458,
      -2.455394005744056,
      -2.4563969938522563,
      -2.457375911039268,
      -2.4583275833275247,
      -2.4592490242425886,
      -2.460137441710936,
      -2.4609902442333076,
      -2.4618050456493585,
      -2.4625796694153643,
      -2.463312151741861,
      -2.464000743984485,
      -2.4646439139714573,
      -2.465240346412486,
      -2.465788942663906,
      -2.4662888193648467,
      -2.4667393063269314,
      -2.4671399439358566,
      -2.467490479536767,
      -2.467790862990959,
      -2.4680412416702704,
      -2.468241954878438,
      -2.46839352746153,
      -2.468496662805132,
      -2.4685522355448444,
      -2.4685612837079596,
      -2.4685250003620274,
      -2.4684447247209524,
      -2.468321932991368,
      -2.4681582225809264,
      -2.4679552997139194,
      -2.467714978674725,
      -2.4674391730867438,
      -2.4671298856339847,
      -2.4667891979122496,
      -2.466419260315444,
      -2.4660222817108726,
      -2.4656005189871717,
      -2.46515626701766,
      -2.464691848588064,
      -2.4642096046009203,
      -2.463711884307913,
      -2.463201035957755,
      -2.4626793973035763,
      -2.462149286890168,
      -2.461612995538052,
      -2.461072777974196,
      -2.460530844915094,
      -2.4599893557787897,
      -2.459450411285387,
      -2.4589160469850655,
      -2.458388227071773,
      -2.4578688383232707,
      -2.457359685125356,
      -2.4568624844256197,
      -2.456378861367902,
      -2.455910345391184,
      -2.4554583669054635,
      -2.4550242543752225,
      -2.4546092315900396,
      -2.454214416094897,
      -2.453840817411343,
      -2.4534893359436216,
      -2.453160762444864,
      -2.452855777916666,
      -2.452574953789104,
      -2.4523187524306898,
      -2.4520875285959565,
      -2.4518815308141475,
      -2.4517009031209196,
      -2.4515456872039594,
      -2.4514158240906063
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.67499453240025,
      11.525228389326669,
      11.364012154170405,
      11.192087715660218,
      11.010161833736092,
      10.818903704446415,
      10.619051688082205,
      10.411493427076339,
      10.197223691565863,
      9.977311554687878,
      9.752934888107156,
      9.52538683542822,
      9.295991434969013,
      9.066013377307696,
      8.836635981715041,
      8.608923502293976,
      8.383779536051257,
      8.16190683997328,
      7.9437868510031935,
      7.729692507229714,
      7.519709740598714,
      7.313750302557987,
      7.111569588720674,
      6.9127916359373085,
      6.71694048136564,
      6.523471397097,
      6.331803444776404,
      6.141346356212136,
      5.951517002261293,
      5.7617560296988755,
      5.571561279234881,
      5.380514232968023,
      5.188298875486364,
      4.994715551151154,
      4.799676608965271,
      4.603211171902959,
      4.405483485026115,
      4.2067957119745545,
      4.0075976497170585,
      3.8084640682013986,
      3.610070711754159,
      3.413167017832367,
      3.2185448326533828,
      3.027006432697653,
      2.8393366653572882,
      2.6562688984685887,
      2.478457554812747,
      2.3064598052798164,
      2.1407238628198098,
      1.9815836792311534,
      1.8292604562648687,
      1.683868732988389,
      1.5454257567328926,
      1.4138633927485307,
      1.2890424232409674,
      1.1707657727073115,
      1.0587901947118104,
      0.9528367410095072,
      0.8526009930462933,
      0.7577630179607086,
      0.6679944488938194,
      0.5829629382280819,
      0.5023375011427742,
      0.42579285998802113,
      0.3530122438184609,
      0.2836890087018544,
      0.21752806228800758,
      0.15424676965119022,
      0.09357544939144205,
      0.03525755244782,
      -0.020950089628286477,
      -0.07527741240963279,
      -0.1279423750726259,
      -0.1791512663203498,
      -0.2290988356710443,
      -0.27796880976113647,
      -0.3259343828127311,
      -0.37315835527192304,
      -0.4197937487721998,
      -0.46598458702301276,
      -0.5118662848479729,
      -0.5575659890087806,
      -0.6032028670533363,
      -0.648888341296784,
      -0.6947262656439049,
      -0.7408130444633695,
      -0.7872376927949127,
      -0.8340818382700913,
      -0.8814196655202075,
      -0.929317805245827,
      -0.9778351698383965,
      -1.0270226527118211,
      -1.076922862243731,
      -1.127569920171215,
      -1.1789891324472892,
      -1.2311966050275058,
      -1.2841987352060373,
      -1.3379918689809323,
      -1.3925620172764326,
      -1.4478845653240535,
      -1.5039239698971711,
      -1.5606335097993738,
      -1.6179546631604473,
      -1.6758165806067107,
      -1.734136878573353,
      -1.792821935368946,
      -1.8517671646344591,
      -1.9108571591169676,
      -1.9699660827934162,
      -2.028958234037723,
      -2.08768891591108,
      -2.1460060663541762,
      -2.203751457868395,
      -2.2607620079488613,
      -2.3168711975051886,
      -2.3719105747899127,
      -2.425711317572802,
      -2.4781058252473587,
      -2.5289293113676212,
      -2.578021367751078,
      -2.6252274028185245,
      -2.6704000253008426,
      -2.7134001341410645,
      -2.7540974242448364,
      -2.7923722700457203,
      -2.828116888474364,
      -2.8612361054599904,
      -2.891648030032895,
      -2.9192847867935523,
      -2.944092594761104,
      -2.966031921800319,
      -2.9850774809061282,
      -3.00121804757502,
      -3.01445626364361,
      -3.024808344720038,
      -3.032303702948399,
      -3.0369844948348033,
      -3.0389051042035318,
      -3.038131555710268,
      -3.034740316549614,
      -3.0288177609790377,
      -3.020460259259169,
      -3.009773255475094,
      -2.9968703811195043,
      -2.981872459681513,
      -2.96490599498449,
      -2.946102935520563,
      -2.9256002260299923,
      -2.9035389555750717,
      -2.880063472717829,
      -2.855320345801816,
      -2.8294542218480867,
      -2.8026078852564473,
      -2.774924784251899,
      -2.746549864168426,
      -2.717628352318567,
      -2.6883030957147125,
      -2.6587137593767145,
      -2.6289961548672798,
      -2.5992816261711122,
      -2.5696966353046067,
      -2.5403623560925164,
      -2.5113938122156703,
      -2.482899458741507,
      -2.454981006073447,
      -2.4277336320953236,
      -2.401245751212193,
      -2.3755987952086217,
      -2.350867190411848,
      -2.3271185541688384,
      -2.3044139088406697,
      -2.282807327083759,
      -2.262345692769445,
      -2.2430704806187935,
      -2.22501886521554,
      -2.2082201217822406,
      -2.192695222539464,
      -2.1784594757889923,
      -2.165522999415752,
      -2.153891022869967,
      -2.1435641576305033,
      -2.13453866148053,
      -2.1268066943761053,
      -2.120356563695281,
      -2.115172958526718,
      -2.111237171681629,
      -2.1085273088134895,
      -2.10701848508214,
      -2.1066829553769537,
      -2.1074900386303885,
      -2.109406539507605,
      -2.1123970721328664,
      -2.116424101191767,
      -2.1214480679716456,
      -2.1274275190291063,
      -2.134319229785522,
      -2.1420783242019885,
      -2.1506583920874647,
      -2.1600116055122096,
      -2.1700888415652146,
      -2.1808398230676223,
      -2.192213216188491,
      -2.2041567400336928,
      -2.2166170707130015,
      -2.229539992059522,
      -2.242870763246477,
      -2.2565542647659154,
      -2.2705351504798963,
      -2.2847580050874283,
      -2.299167506614801,
      -2.313708593861655,
      -2.328326637942103,
      -2.3429676173429193,
      -2.357578295348801,
      -2.3721063986854665,
      -2.386500796756059,
      -2.4007116793541385,
      -2.4146907445742762,
      -2.4283913819753358,
      -2.441768821014819,
      -2.4547802874185596,
      -2.4673851555541435,
      -2.4795450917360786,
      -2.491224186830783,
      -2.5023890781076537,
      -2.5130090585683593,
      -2.523056172934585,
      -2.5325052998747553,
      -2.541334219646596,
      -2.5495236665472145,
      -2.5570573663919074,
      -2.5639220580930577,
      -2.570107499804579,
      -2.5756064600151665,
      -2.580414692719289,
      -2.584530898047632,
      -2.5879566685783857,
      -2.5906964216044956,
      -2.5927573180874743,
      -2.594149169275192,
      -2.5948843317397925,
      -2.5949775915691933,
      -2.594446038821802,
      -2.593308850169411,
      -2.591587080488744,
      -2.5893036638746914,
      -2.586483333568144,
      -2.583152434358517,
      -2.5793387262563767,
      -2.5750712198719614,
      -2.5703800095980425,
      -2.5652961068235793,
      -2.55985127344622,
      -2.5540778568568308,
      -2.5480086274763423,
      -2.541676619444092,
      -2.535114975509822,
      -2.5283567968914826,
      -2.5214349985640054,
      -2.5143821706789935,
      -2.5072304467890785,
      -2.500011379369752,
      -2.4927558228957665,
      -2.4854938247474716,
      -2.4782545243909593,
      -2.4710660608345685,
      -2.4639554344011105,
      -2.4569484198794886,
      -2.450069572955993,
      -2.4433421782097446,
      -2.4367881985653908,
      -2.4304282328814337,
      -2.4242814812393694,
      -2.4183657177156994,
      -2.412697270209787,
      -2.40729100705091,
      -2.4021603303657844,
      -2.397317175279521,
      -2.392772015103602,
      -2.3885338719941447,
      -2.384610332177214,
      -2.3810075664140307,
      -2.377730354701401,
      -2.374782114639606,
      -2.3721649336705477,
      -2.369879604532975,
      -2.36792566395321,
      -2.3663014338887636,
      -2.365004065316208,
      -2.364029584032511,
      -2.3633729335270512,
      -2.3630279835206647,
      -2.3629875997394487,
      -2.3632437294634627,
      -2.363787446604689,
      -2.3646089558009806,
      -2.3656976753043284,
      -2.367042328046433,
      -2.368630999451153,
      -2.3704511961699546,
      -2.372489904401826,
      -2.3747336490513646,
      -2.3771685524843047,
      -2.3797803932644332,
      -2.3825546646670324,
      -2.385476632580827,
      -2.388531393244026,
      -2.3917039302362393,
      -2.394979170471803,
      -2.398342039391939,
      -2.4017775153928462,
      -2.4052706825538532,
      -2.4088067825549264,
      -2.412371264631745,
      -2.4159498343451387,
      -2.4195285000550752,
      -2.4230936180203773,
      -2.426631935415631,
      -2.4301306307071333,
      -2.433577352103008,
      -2.4369602536730857,
      -2.440268028584621,
      -2.443489939971527,
      -2.4466158490440706,
      -2.4496362402550704,
      -2.4525422437022653,
      -2.4553256545471265,
      -2.457978949748678,
      -2.4604953010972923,
      -2.4628685858852735,
      -2.465093394171553,
      -2.4671650331852164,
      -2.4690795288165397,
      -2.4708336237988684,
      -2.4724247731151423,
      -2.473851137174483,
      -2.4751115714348497,
      -2.4762056137554698,
      -2.4771334691472244,
      -2.4778959919576566,
      -2.478494666148677,
      -2.4789315830645755,
      -2.479209417217724,
      -2.4793314004256897,
      -2.4793012939808565,
      -2.479123359711662,
      -2.4788023292760046,
      -2.478343372407179,
      -2.47775206420268,
      -2.477034349439207,
      -2.476196481927362,
      -2.47524499916463,
      -2.474186711230366,
      -2.4730286653889553,
      -2.4717781112901225,
      -2.4704424662855846,
      -2.4690292837338794,
      -2.4675462247874296,
      -2.466001016432648,
      -2.464401416387047,
      -2.462755181113812,
      -2.461070034672691,
      -2.4593536388171104,
      -2.4576135639538026,
      -2.4558572618471914,
      -2.454092039239837,
      -2.4523250330048865,
      -2.4505631868033895,
      -2.448813229163175,
      -2.4470816532441986,
      -2.4453746979142146,
      -2.443698330819961,
      -2.4420582327592837,
      -2.4404597835695565,
      -2.438908050199979,
      -2.4374077758483237,
      -2.435963370970549,
      -2.4345789057718306,
      -2.4332581041890418,
      -2.4320043395991346,
      -2.4308206320001253,
      -2.4297096465851227,
      -2.4286736996268083,
      -2.4277147594142434,
      -2.4268344433503213,
      -2.4260340214795217,
      -2.425314421419904,
      -2.424676221557787,
      -2.4241196516187586,
      -2.423644619183892,
      -2.423250721705071,
      -2.422937256536183,
      -2.4227032321284727,
      -2.4225473797213715,
      -2.4224681661305856,
      -2.4224638069618285,
      -2.4225322800864397,
      -2.422671339952487,
      -2.422878532159214,
      -2.4231512085355393,
      -2.4234865424035097,
      -2.4238815442915675,
      -2.424333077344747,
      -2.424837873281518,
      -2.4253925483979892,
      -2.42599361945024,
      -2.426637519398846,
      -2.4273206133801684,
      -2.4280392138963456,
      -2.4287895964540778,
      -2.429568014771025,
      -2.4303707153301084,
      -2.431193952105967,
      -2.4320340004308396,
      -2.4328871706722492,
      -2.433749821480342,
      -2.4346183723624395,
      -2.4354893157259583,
      -2.436359228328434,
      -2.4372247822268385,
      -2.4380827550907496,
      -2.438930039720439,
      -2.439763652993494,
      -2.4405807442113843,
      -2.44137860238625,
      -2.4421546633843882,
      -2.4429065156056198,
      -2.443631905322672,
      -2.4443287416870603,
      -2.444995100188511,
      -2.445629225647905,
      -2.4462295348080136,
      -2.44679461785041,
      -2.4473232392636617,
      -2.447814338209936,
      -2.4482670278530394,
      -2.4486805942831893,
      -2.449054494683896,
      -2.4493883549484514,
      -2.4496819667006746,
      -2.4499352834739176,
      -2.450148416719596,
      -2.450321631224815,
      -2.4504553398508255,
      -2.4505500979637493,
      -2.4506065974478837,
      -2.450625660370187,
      -2.450608232189176,
      -2.4505553745798423,
      -2.4504682583549227,
      -2.4503481559963207,
      -2.4501964335408437,
      -2.450014543015347,
      -2.4498040141486093,
      -2.4495664464798725,
      -2.449303501075231,
      -2.4490168924122093,
      -2.4487083800769773,
      -2.4483797608090176,
      -2.4480328602572374,
      -2.4476695252616945,
      -2.447291616024141,
      -2.4469009982428327,
      -2.446499535897318,
      -2.44608908394203,
      -2.445671481237672,
      -2.445248543994956,
      -2.4448220592433927,
      -2.4443937785984136,
      -2.443965412473178,
      -2.4435386245742223,
      -2.4431150267991883,
      -2.4426961743225424,
      -2.4422835610367524,
      -2.4418786155396797,
      -2.4414826974256183,
      -2.4410970938651824,
      -2.4407230167122838,
      -2.4403615999176416,
      -2.440013897102983,
      -2.4396808798115934,
      -2.4393634360321146,
      -2.439062369076308,
      -2.4387783969655388,
      -2.4385121517427093,
      -2.4382641795498516,
      -2.438034940809426,
      -2.437824810890227
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.524926860097253,
      11.36331021856405,
      11.19085634132138,
      11.00829606604824,
      10.816321696500598,
      10.61569745517211,
      10.407333708877724,
      10.192241744132659,
      9.97150963250575,
      9.746343451916287,
      9.51807133443303,
      9.288034037086062,
      9.05750142850778,
      8.827662214644375,
      8.599586545208528,
      8.374173592146057,
      8.152111769993416,
      7.933871517979932,
      7.719725043598123,
      7.509749523186029,
      7.303843662951017,
      7.101749543033946,
      6.9030835583650605,
      6.707364589950765,
      6.514045078336416,
      6.322543403850186,
      6.132270475729054,
      5.942645387583455,
      5.753113568173331,
      5.563178307799882,
      5.372427622535268,
      5.180552791889021,
      4.987363025500286,
      4.792781327615269,
      4.596845327713285,
      4.399732777310767,
      4.2017548287207855,
      4.003364239957476,
      3.805136600122887,
      3.607746280100623,
      3.411939204622296,
      3.2185018127071032,
      3.028229998189126,
      2.8419018200883053,
      2.6602425028909984,
      2.4838983861797077,
      2.3134193041343916,
      2.149247365468643,
      1.9917119526542826,
      1.8410312246456697,
      1.697318347162313,
      1.5605908775775952,
      1.4307824821411466,
      1.307756676126893,
      1.19132003787191,
      1.0812340370647173,
      0.9772252700035475,
      0.8789952047226307,
      0.7862301991785998,
      0.6986081013765085,
      0.6158028068712523,
      0.5374897304681745,
      0.46334955881673073,
      0.3930714396784353,
      0.32635482296362794,
      0.262910522805674,
      0.20246164953083873,
      0.14474445848980652,
      0.0895085284823976,
      0.036516442286576516,
      -0.014456270716322092,
      -0.06362195760134837,
      -0.11118170671035721,
      -0.15732541878902126,
      -0.20223205323689913,
      -0.24606990220775185,
      -0.2889976562666984,
      -0.3311650493190251,
      -0.3727133593433698,
      -0.41377587632337987,
      -0.4544783316189742,
      -0.494939285863809,
      -0.5352704715055213,
      -0.5755770889608657,
      -0.615958054517269,
      -0.6565061993186347,
      -0.6973084187077564,
      -0.7384457717785899,
      -0.7799935229169866,
      -0.8220210529529756,
      -0.8645918452818941,
      -0.9077634673291852,
      -0.9515874278761052,
      -0.9961089913468238,
      -1.0413669516325392,
      -1.0873933694437554,
      -1.1342132769724618,
      -1.1818443564185914,
      -1.2302965593098405,
      -1.2795716225132305,
      -1.3296628298299298,
      -1.3805547132896328,
      -1.4322227201573652,
      -1.4846329101564988,
      -1.5377416500183656,
      -1.5914954136616046,
      -1.6458305533227595,
      -1.7006725418098825,
      -1.7559365052399765,
      -1.81152782809541,
      -1.8673423974458396,
      -1.9232661225399814,
      -1.9791756099256461,
      -2.034939650702752,
      -2.0904200489000364,
      -2.145472579474786,
      -2.1999480666529863,
      -2.2536935686044464,
      -2.306553650447125,
      -2.358371726719136,
      -2.4089914484268458,
      -2.4582581124627905,
      -2.5060200137279427,
      -2.552129790645323,
      -2.5964458166362845,
      -2.6388334624256857,
      -2.679165602621058,
      -2.7173235619512988,
      -2.753198816805119,
      -2.786693854524648,
      -2.8177228519763324,
      -2.8462126163402792,
      -2.872102794551975,
      -2.895345995298887,
      -2.9159078939289644,
      -2.933767220799618,
      -2.9489156789100757,
      -2.961357762193771,
      -2.971110484971314,
      -2.978203030894238,
      -2.982676330465346,
      -2.984582575409487,
      -2.983984677799554,
      -2.980955358105423,
      -2.9755762463228415,
      -2.9679379932180336,
      -2.9581395772872683,
      -2.946287417821774,
      -2.9324946176428353,
      -2.916880044969733,
      -2.8995669425000856,
      -2.8806825816857016,
      -2.860357861456206,
      -2.8387265051375485,
      -2.815924242359004,
      -2.792087997731641,
      -2.7673529341955807,
      -2.741851088204147,
      -2.715713359758383,
      -2.6890692487951435,
      -2.662047960861748,
      -2.634777673367786,
      -2.607383084207156,
      -2.5799847764840402,
      -2.552698730652755,
      -2.525635895280141,
      -2.4989018183475866,
      -2.4725963400468083,
      -2.446813345879933,
      -2.4216405796773555,
      -2.3971596327965363,
      -2.373445954478801,
      -2.3505686799270586,
      -2.3285906201372892,
      -2.307567899701746,
      -2.287551315005736,
      -2.268586998701782,
      -2.250714628285385,
      -2.23396532279936,
      -2.218363918433692,
      -2.2039299062384536,
      -2.1906777470298904,
      -2.1786171251264,
      -2.1677531909046612,
      -2.158086801688662,
      -2.14961475836154,
      -2.142330035686357,
      -2.1362220052181744,
      -2.131276648994925,
      -2.1274767641275747,
      -2.124802157166741,
      -2.1232298282974957,
      -2.122734038026392,
      -2.123286285661724,
      -2.1248557993407395,
      -2.1274097638541436,
      -2.1309133653747323,
      -2.135329919628281,
      -2.140621000287429,
      -2.146746563225741,
      -2.1536650671938746,
      -2.161333592385419,
      -2.1697079573625553,
      -2.1787428362841093,
      -2.1883918761437067,
      -2.198607816431694,
      -2.2093426100918903,
      -2.2205475478266257,
      -2.2321733335227614,
      -2.2441700237003452,
      -2.2564873302817814,
      -2.2690748567667183,
      -2.281882242703784,
      -2.2948593110724707,
      -2.3079562187083678,
      -2.3211236095556846,
      -2.3343127691211083,
      -2.3474757802560533,
      -2.3605656789533653,
      -2.3735366093479757,
      -2.3863439768671557,
      -2.3989445985014095,
      -2.4112968489550597,
      -2.4233608020547495,
      -2.435098365599205,
      -2.4464734094036578,
      -2.457451885080232,
      -2.4680019362737102,
      -2.478093999334325,
      -2.4877008930876623,
      -2.496797897140268,
      -2.505362818234,
      -2.5133760436366646,
      -2.5208205819179423,
      -2.527682090893822,
      -2.533948891907772,
      -2.5396119709380622,
      -2.5446649666625762,
      -2.5491041454556833,
      -2.5529283637455293,
      -2.5561390180987154,
      -2.558739983590784,
      -2.5607375410535984,
      -2.5621402936150117,
      -2.5629590735786025,
      -2.563206840046884,
      -2.5628985681584453,
      -2.562051131068536,
      -2.5606831560641106,
      -2.5588147834070014,
      -2.5564676114357963,
      -2.553664678245763,
      -2.5504302834343653,
      -2.546789822727138,
      -2.5427696434573956,
      -2.5383968997531436,
      -2.5336994079194923,
      -2.5287055038431885,
      -2.5234439018401225,
      -2.5179435566116584,
      -2.5122335289306124,
      -2.5063428553942866,
      -2.500300422698972,
      -2.494134847692132,
      -2.487874362686842,
      -2.4815467071822095,
      -2.475179008650338,
      -2.468797614080635,
      -2.4624280612268485,
      -2.456095042260122,
      -2.4498223304269384,
      -2.4436327136644613,
      -2.4375479356065894,
      -2.4315886431246727,
      -2.425774341414882,
      -2.4201233558515716,
      -2.4146527998436347,
      -2.4093785497832987,
      -2.4043152261403353,
      -2.3994761802655264,
      -2.394873486779183,
      -2.390517941531972,
      -2.386419064680572,
      -2.382585108665484,
      -2.37902307023715,
      -2.375738706970341,
      -2.3727365577654065,
      -2.3700199665310895,
      -2.367591109519404,
      -2.3654510254905325,
      -2.363599648833853,
      -2.3620358452944643,
      -2.360757449606713,
      -2.359761269763336,
      -2.3590431015998417,
      -2.3585978573168127,
      -2.3584195990669423,
      -2.3585015785932355,
      -2.358836284689608,
      -2.3594154916334626,
      -2.360230308255382,
      -2.3612712279001764,
      -2.3625281785192644,
      -2.363990573331598,
      -2.3656473568970617,
      -2.3674870066823677,
      -2.369497600401673,
      -2.3716669080009507,
      -2.373982443091314,
      -2.376431513510723,
      -2.379001271796252,
      -2.3816787646654065,
      -2.384450982024967,
      -2.3873049050545205,
      -2.3902275532127817,
      -2.393206030162545,
      -2.39622756820048,
      -2.399279571892206,
      -2.402349659779054,
      -2.4054257047492267,
      -2.408495872545995,
      -2.4115486583922663,
      -2.4145729219654095,
      -2.417557920193545,
      -2.420493338159263,
      -2.4233693173309527,
      -2.426176482074985,
      -2.428905963574746,
      -2.431549421151427,
      -2.43409906159905,
      -2.43654765587957,
      -2.4388885527349666,
      -2.441115690563041,
      -2.443223606366712,
      -2.445207441919483,
      -2.447062947959965,
      -2.448786485355984,
      -2.4503750240714206,
      -2.4518261396595387,
      -2.4531380073726785,
      -2.454309393887298,
      -2.455339647009424,
      -2.456228683124231,
      -2.456976972621973,
      -2.457585523540742,
      -2.4580558633206557,
      -2.458390018722481,
      -2.458590494331178,
      -2.458660249865887,
      -2.458602675812851,
      -2.458421568175751,
      -2.458121101923068,
      -2.4577058040379485,
      -2.4571805254525905,
      -2.456550412729413,
      -2.4558208790305307,
      -2.4549975748350197,
      -2.4540863588133988,
      -2.453093268353053,
      -2.4520244902455928,
      -2.4508863316905303,
      -2.449685191716709,
      -2.448427522289107,
      -2.4471197996245326,
      -2.445768511755323,
      -2.4443801333601454,
      -2.4429611004505682,
      -2.441517788454823,
      -2.4400564889381333,
      -2.438583383763503,
      -2.4371045236098707,
      -2.4356258079643784,
      -2.4341529664949344,
      -2.432691541348061,
      -2.431246871260669,
      -2.429824076638718,
      -2.4284280457433765,
      -2.4270634229345163,
      -2.425734597550826,
      -2.424445695154793,
      -2.4232005726853876,
      -2.4220028088051477,
      -2.420855686002272,
      -2.4197621874270374,
      -2.4187250036546275,
      -2.4177465309673813,
      -2.41682887088907,
      -2.4159738309403433,
      -2.4151829264786873,
      -2.414457383331098,
      -2.4137981415626144,
      -2.4132058604650655,
      -2.4126809240871685,
      -2.412223447920645,
      -2.4118332860851193,
      -2.4115100394967057,
      -2.411253064791451,
      -2.4110614837485698,
      -2.4109341933127575,
      -2.410869876263153,
      -2.4108670123467597,
      -2.410923889819881,
      -2.4110386171630527,
      -2.411209135242837,
      -2.4114332300914136,
      -2.411708545354686,
      -2.4120325954437387,
      -2.4124027782871384,
      -2.4128163883625877,
      -2.4132706302271516,
      -2.413762631036336,
      -2.414289453848565,
      -2.4148481103584087,
      -2.4154355738369016,
      -2.4160487913298105,
      -2.4166846960459267,
      -2.417340219596547,
      -2.4180123033916465,
      -2.418697910126182,
      -2.419394034663542,
      -2.4200977145397315,
      -2.4208060401077396,
      -2.42151616424239,
      -2.4222253113228187,
      -2.4229307862787137,
      -2.423629982402261,
      -2.4243203887658225,
      -2.4249995973242298,
      -2.4256653094250784,
      -2.4263153418582646,
      -2.426947631866315,
      -2.4275602417596733,
      -2.4281513627656066,
      -2.428719318808803,
      -2.429262569397146,
      -2.4297797116533006,
      -2.430269482093639,
      -2.4307307575378725,
      -2.431162555805238,
      -2.431564035533304,
      -2.4319344957786164,
      -2.4322733744840868,
      -2.4325802470876985,
      -2.4328548246142097,
      -2.4330969506958477,
      -2.433306598699118,
      -2.4334838682538193,
      -2.4336289814489698,
      -2.4337422782485807,
      -2.4338242121070306,
      -2.4338753453398434,
      -2.4338963437043253,
      -2.4338879707657237,
      -2.4338510822192068,
      -2.4337866201845064,
      -2.433695607033755,
      -2.4335791393306008,
      -2.4334383812895903,
      -2.4332745583860103,
      -2.433088951085059,
      -2.432882887998544,
      -2.43265773940539,
      -2.4324149109523128,
      -2.4321558371986716,
      -2.431881975076118,
      -2.4315947975378203,
      -2.431295787619584,
      -2.4309864323216708,
      -2.43066821668504,
      -2.430342617979297,
      -2.4300111003246134,
      -2.4296751094586853,
      -2.4293360675123674,
      -2.4289953682665564,
      -2.4286543725491505,
      -2.4283144038366213,
      -2.427976744275514,
      -2.4276426307809365,
      -2.4273132517818117,
      -2.4269897438088885,
      -2.4266731885964137,
      -2.4263646106039736,
      -2.4260649745586504,
      -2.425775183430949,
      -2.4254960767994986,
      -2.4252284295069626,
      -2.424972950153162
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.524808371843593,
      11.362923012047233,
      11.190078510719776,
      11.007028562812351,
      10.814485052072877,
      10.61323618924715,
      10.404215722539417,
      10.188450933894977,
      9.96704674071661,
      9.741240699450065,
      9.512392829427984,
      9.281853190529116,
      9.050895999596584,
      8.820718258385817,
      8.592392815669397,
      8.366811279951781,
      8.144651424380134,
      7.926381995371235,
      7.712266787537417,
      7.502373847172985,
      7.296591769467837,
      7.0946541565698835,
      6.8961724832466285,
      6.700661819464536,
      6.50757275852498,
      6.316323662179698,
      6.126326737389724,
      5.937003541152299,
      5.747804035154942,
      5.558235828948126,
      5.367891880637357,
      5.176468727895089,
      4.983782118002619,
      4.789763295220034,
      4.59445544043026,
      4.39804520263221,
      4.2008506946011845,
      4.003324492394984,
      3.8060403711558575,
      3.6096692094885956,
      3.414951947990457,
      3.222668881072552,
      3.0336096679809863,
      2.8485457280182804,
      2.668195568466545,
      2.4931994585342503,
      2.3241022070271735,
      2.161342330961262,
      2.005247201455405,
      1.8560343995946946,
      1.7138179899324772,
      1.5786177669172188,
      1.4503708349617983,
      1.3289450744841629,
      1.214151788033201,
      1.105757800806027,
      1.0034956573007592,
      0.9070732230627432,
      0.8161830804574609,
      0.7305090034833226,
      0.6497313700478847,
      0.5735320317795213,
      0.5015979898406525,
      0.4336242393729176,
      0.3693161548500311,
      0.30839061992396555,
      0.2505766922532721,
      0.19561622301291284,
      0.14326389221081037,
      0.09328705143208868,
      0.0454655456779512,
      -0.00040846762277135795,
      -0.044531629894854624,
      -0.08708935952405836,
      -0.12825540343985767,
      -0.16819329453101828,
      -0.20705730150641075,
      -0.24499299095447064,
      -0.2821377697563144,
      -0.3186214015275094,
      -0.3545664925300948,
      -0.3900889436141612,
      -0.4252983657529678,
      -0.46029845789132395,
      -0.4951873458345166,
      -0.5300578815598478,
      -0.5649979022709225,
      -0.6000904029982479,
      -0.6354136459126347,
      -0.671041405314314,
      -0.7070430899218018,
      -0.7434837987636418,
      -0.7804243366943964,
      -0.8179211909293486,
      -0.8560264682995663,
      -0.8947877943723566,
      -0.9342481749623702,
      -0.9744458219042448,
      -1.0154139444407808,
      -1.0571805087193533,
      -1.0997679680950065,
      -1.1431929683267055,
      -1.1874660314236376,
      -1.2325911512242353,
      -1.2785653759565683,
      -1.3253785888785665,
      -1.373013196672284,
      -1.4214438066743882,
      -1.470636928736628,
      -1.5205507138729342,
      -1.5711347391650996,
      -1.6223298523076404,
      -1.6740680657328797,
      -1.7262718273608681,
      -1.7788540113081976,
      -1.8317185103419527,
      -1.8847607895272103,
      -1.9378680465141935,
      -1.9909201468859519,
      -2.043790416560888,
      -2.0963464255765256,
      -2.148450883204033,
      -2.19996263339904,
      -2.250737738258455,
      -2.3006306334376627,
      -2.3494953212279737,
      -2.397186563199403,
      -2.4435611770627443,
      -2.4884792997962832,
      -2.5318056076731863,
      -2.573410487114576,
      -2.6131709835533172,
      -2.6509711286859283,
      -2.686703356512903,
      -2.720269729329305,
      -2.7515826490807602,
      -2.780565851671326,
      -2.80715469139142,
      -2.8312963158414393,
      -2.8529498323852476,
      -2.872086417103092,
      -2.888689325059446,
      -2.9027538016338577,
      -2.914286903604645,
      -2.9233072375648628,
      -2.9298446240471696,
      -2.9339396950892205,
      -2.935643432170154,
      -2.9350166516191347,
      -2.932129293871902,
      -2.9270593528678,
      -2.919892925396746,
      -2.910723692894599,
      -2.899652058917113,
      -2.886784434105786,
      -2.8722325028032714,
      -2.856112405870473,
      -2.8385434805571474,
      -2.8196477615849815,
      -2.799549671382369,
      -2.7783752797118577,
      -2.7562515602327022,
      -2.733305663285714,
      -2.709663220083618,
      -2.685445494273189,
      -2.660771621230621,
      -2.6357590347609476,
      -2.610522892155387,
      -2.585175704847521,
      -2.559827557222007,
      -2.534584902517177,
      -2.509549616752173,
      -2.4848186702054216,
      -2.460483852878935,
      -2.436631553260347,
      -2.4133425889556914,
      -2.3906920876942817,
      -2.368749460963897,
      -2.347579002990715,
      -2.327239642214687,
      -2.307784688388803,
      -2.2892615111983527,
      -2.271709691204415,
      -2.2551624480801635,
      -2.2396476945411603,
      -2.225188255978472,
      -2.211802123671608,
      -2.199502665097304,
      -2.1882988384362574,
      -2.1781954091542497,
      -2.169193165730687,
      -2.1612891323396934,
      -2.1544767772031777,
      -2.1487462152267174,
      -2.1440844036389928,
      -2.140475330216029,
      -2.137900193672725,
      -2.1363375754566065,
      -2.1357633968367145,
      -2.1361510661446306,
      -2.1374719472068757,
      -2.1396955064738257,
      -2.142789359636586,
      -2.146719401891282,
      -2.1514499342430655,
      -2.1569437859232186,
      -2.1631624337134676,
      -2.1700661189331094,
      -2.177613963473022,
      -2.1857640851675524,
      -2.1944737131350016,
      -2.203699303635859,
      -2.2133966576912534,
      -2.2235210401455943,
      -2.2340273009853955,
      -2.2448699989122374,
      -2.256003427175437,
      -2.2673816385120555,
      -2.2789587621892364,
      -2.29068917654804,
      -2.3025276448404695,
      -2.314429452117466,
      -2.3263505431227016,
      -2.338247659417745,
      -2.350078476160572,
      -2.3618017372984084,
      -2.3733773882715217,
      -2.3847667050632233,
      -2.3959324201140517,
      -2.406838842381391,
      -2.4174519718092995,
      -2.427739607095646,
      -2.4376714459058078,
      -2.447219177060366,
      -2.456356563646198,
      -2.465059516400104,
      -2.4733061573275132,
      -2.481076872714396,
      -2.488354355216475,
      -2.4951236348345955,
      -2.5013720985098553,
      -2.5070894985081735,
      -2.5122679491850044,
      -2.5169019126169063,
      -2.520988173108926,
      -2.5245258008696467,
      -2.5275161054780773,
      -2.529962579128523,
      -2.5318708306254982,
      -2.533248509947025,
      -2.5341052249343234,
      -2.534452450198006,
      -2.534303428889411,
      -2.5336730685418467,
      -2.5325778310060563,
      -2.5310356179125084,
      -2.5290656027243945,
      -2.52668805886444,
      -2.5239243757107146,
      -2.520796915579931,
      -2.517328874899914,
      -2.5135441578750286,
      -2.509467250736992,
      -2.505123097127216,
      -2.500536975449735,
      -2.4957343791164517,
      -2.4907408991867133,
      -2.4855821109888496,
      -2.4802834650105976,
      -2.474870135322035,
      -2.4693668740527173,
      -2.463798003734348,
      -2.4581873461796504,
      -2.452558140191858,
      -2.446932964727916,
      -2.4413336683053295,
      -2.4357813044629326,
      -2.4302960731499845,
      -2.424897268391052,
      -2.419603232004423,
      -2.4144313133240463,
      -2.4093978348684755,
      -2.404518063543418,
      -2.399806187727001,
      -2.3952752994711664,
      -2.390937382126759,
      -2.3868033027163644,
      -2.3828828091797987,
      -2.3791845318674603,
      -2.375715989691792,
      -2.37248359966145,
      -2.369492690732531,
      -2.3667475207714523,
      -2.3642512967224656,
      -2.36200619789521,
      -2.3600134019604218,
      -2.358273113524483,
      -2.3567845752972967,
      -2.3555460465298186,
      -2.354554899996185,
      -2.3538076996539803,
      -2.3533002300938706,
      -2.3530275191279983,
      -2.352983878387763,
      -2.3531629450155833,
      -2.3535577241386885,
      -2.3541606321996644,
      -2.3549635407375686,
      -2.35595782054679,
      -2.357134386193337,
      -2.358483740717087,
      -2.3599960203990356,
      -2.3616610395236246,
      -2.3634683350136703,
      -2.3654072106116177,
      -2.367466781142552,
      -2.369636015713995,
      -2.371903774178643,
      -2.374258808479355,
      -2.376689826427199,
      -2.3791855621396625,
      -2.3817348163019507,
      -2.384326494833636,
      -2.3869496465260425,
      -2.3895934992470873,
      -2.392247494766278,
      -2.394901322353191,
      -2.397544950335921,
      -2.4001686560275197,
      -2.4027630542253364,
      -2.4053191238281437,
      -2.407828232118522,
      -2.4102821573292483,
      -2.412673109505038,
      -2.4149937486580995,
      -2.4172372014082386,
      -2.4193970752176015,
      -2.421467470353576,
      -2.4234429900256034,
      -2.4253187482317546,
      -2.427090375164263,
      -2.4287540207937455,
      -2.4303063561403757,
      -2.4317445726640674,
      -2.4330663794504988,
      -2.434269998488809,
      -2.435354157886901,
      -2.4363180834885902,
      -2.437161488297092,
      -2.4378845605412733,
      -2.4384879499054986,
      -2.438972752672394,
      -2.439340494905659,
      -2.4395931144358878,
      -2.4397329420609477,
      -2.439762681157285,
      -2.4396853865312544,
      -2.4395044425812067,
      -2.4392235402840368,
      -2.4388466538987177,
      -2.438378017212025,
      -2.437822099306425,
      -2.437183579984907,
      -2.436467325140966,
      -2.4356783620060867,
      -2.4348218546139715,
      -2.43390307931193,
      -2.4329274006057373,
      -2.431900247318456,
      -2.4308270891432495,
      -2.429713414074929,
      -2.42856470618448,
      -2.427386424063286,
      -2.4261839803623424,
      -2.4249627215249494,
      -2.4237279089966473,
      -2.422484701207291,
      -2.4212381366843805,
      -2.419993111228224,
      -2.4187543528296076,
      -2.417526423122718,
      -2.4163137086620576,
      -2.415120409210844,
      -2.413950527037935,
      -2.412807857504385,
      -2.4116959807079263,
      -2.4106182543058847,
      -2.409577807175649,
      -2.408577534382955,
      -2.4076200933649536,
      -2.4067079004684557,
      -2.4058431292710667,
      -2.405027709617177,
      -2.4042633273141814,
      -2.403551425146394,
      -2.402893204740716,
      -2.4022896289182047,
      -2.4017414253856604,
      -2.4012490908371613,
      -2.4008128958067636,
      -2.4004328903576964,
      -2.400108910233768,
      -2.399840584063457,
      -2.3996273405786197,
      -2.3994684166397224,
      -2.3993628655871864,
      -2.3993095662505715,
      -2.399307232082744,
      -2.3993544208509348,
      -2.3994495445029096,
      -2.3995908790285334,
      -2.3997765751553213,
      -2.400004667712866,
      -2.400273076930787,
      -2.4005796218043827,
      -2.4009220390842865,
      -2.4012979942624773,
      -2.4017050921520604,
      -2.402140887693455,
      -2.402602896602378,
      -2.4030886059833696,
      -2.403595484473657,
      -2.404120992448466,
      -2.404662591802614,
      -2.4052177554335925,
      -2.4057839765526188,
      -2.4063587777461595,
      -2.4069397192543285,
      -2.4075244073059827,
      -2.4081105018772253,
      -2.4086957240533087,
      -2.4092778631251393,
      -2.409854782839835,
      -2.4104244277521656,
      -2.410984828437822,
      -2.4115341067718354,
      -2.412070480595782,
      -2.412592267554083,
      -2.4130978890035153,
      -2.4135858729654136,
      -2.414054856924246,
      -2.4145035898024876,
      -2.414930933561793,
      -2.415335864678362,
      -2.4157174745729155,
      -2.416074970008275,
      -2.4164076728429698,
      -2.4167150194453684,
      -2.416996559362468,
      -2.41725195411039,
      -2.417480975174685,
      -2.417683501886298,
      -2.417859518772461,
      -2.4180091127452874,
      -2.4181324696792688,
      -2.4182298708446153,
      -2.4183016893082967,
      -2.4183483856025374,
      -2.4183705038928767,
      -2.4183686669800104,
      -2.4183435719299387,
      -2.4182959851251566,
      -2.4182267372095994,
      -2.418136718502005,
      -2.418026873467869,
      -2.4178981955890855,
      -2.417751722036356,
      -2.4175885285168874,
      -2.417409724007775,
      -2.417216445492739,
      -2.417009852667792,
      -2.416791123038062,
      -2.4165614465568006,
      -2.4163220209408407,
      -2.4160740466096122,
      -2.415818722177312,
      -2.4155572398512604,
      -2.41529078095346,
      -2.4150205116297108,
      -2.4147475789619994,
      -2.41447310708897,
      -2.4141981931938297,
      -2.4139239045400918,
      -2.413651275039053,
      -2.4133813022738075,
      -2.413114944836241,
      -2.412853119627811
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.524698211379544,
      11.362563735428823,
      11.18935813855017,
      11.00585669069962,
      10.81279024177983,
      10.610968324824418,
      10.401345192307302,
      10.18496374019034,
      9.962947488466808,
      9.736571478559345,
      9.507221403381317,
      9.276251159361898,
      9.044939563180069,
      8.814491600267134,
      8.58597737789525,
      8.360279635881948,
      8.13807237398258,
      7.919819729389663,
      7.705778025906456,
      7.496006775081318,
      7.290384647564071,
      7.088639365812522,
      6.890378071773592,
      6.695112419207887,
      6.502291636037874,
      6.311334239702844,
      6.121653562744648,
      5.932673556238323,
      5.743848682409913,
      5.554690445059761,
      5.364796000268085,
      5.17386621205286,
      4.9817209872931265,
      4.788298656801656,
      4.593647901858114,
      4.397960454204689,
      4.201562108816202,
      4.004903989385434,
      3.8085570259426347,
      3.6131878175304255,
      3.4195318236225836,
      3.228363010796335,
      3.0404648919945836,
      2.856602469571635,
      2.6774881150703784,
      2.5037569143699265,
      2.3359495798377488,
      2.174501951366275,
      2.0197403114584285,
      1.8718825514143287,
      1.7310443600090504,
      1.5972483501788077,
      1.4704354458340199,
      1.3504781820215448,
      1.2371929540512443,
      1.1303518473845067,
      1.0296931621031717,
      0.9349309150641565,
      0.8457638077489649,
      0.7618810619519487,
      0.6829689657205978,
      0.608715331392585,
      0.5388130225726088,
      0.4729627198222927,
      0.410875015621492,
      0.3522721865492942,
      0.29688895848639096,
      0.24447266715197757,
      0.19478332856733557,
      0.14759357484087124,
      0.10268840817267505,
      0.059864898522140976,
      0.018931956972133547,
      -0.020290131229304037,
      -0.05797064621034346,
      -0.09426913294015213,
      -0.1293359863837717,
      -0.1633130300594172,
      -0.196334079687863,
      -0.22852548598231165,
      -0.2600066102776483,
      -0.29088969607721565,
      -0.3212804309324657,
      -0.35127888656865547,
      -0.38097991187009794,
      -0.4104734893240789,
      -0.43984495549939984,
      -0.4691753229456722,
      -0.4985416508582877,
      -0.5280172749647142,
      -0.5576720065482551,
      -0.5875723003455431,
      -0.6177813914753836,
      -0.6483594020390442,
      -0.6793634171428675,
      -0.7108475302034803,
      -0.7428628576726656,
      -0.7754575234915749,
      -0.8086766129739601,
      -0.8425620962642757,
      -0.8771527214233065,
      -0.9124838779206064,
      -0.9485874308317862,
      -0.985491526520159,
      -1.023220371372239,
      -1.0617939848393239,
      -1.1012279291335376,
      -1.1415330187127772,
      -1.1827150116109608,
      -1.2247742177858467,
      -1.2677050991950058,
      -1.3114960562454177,
      -1.3561291234231672,
      -1.4015796524316797,
      -1.4478160150236938,
      -1.4947993344752917,
      -1.542483255013048,
      -1.5908137584602695,
      -1.639728894801968,
      -1.6891584907690325,
      -1.739024070004818,
      -1.7892385869813858,
      -1.8397073327333398,
      -1.8903281691023865,
      -1.9409917506410095,
      -1.9915824160286322,
      -2.041978880119097,
      -2.0920549613345654,
      -2.141680404976736,
      -2.190721794355033,
      -2.2390435366602093,
      -2.2865089107743155,
      -2.332981160916364,
      -2.3783246178203785,
      -2.4224058297370608,
      -2.465094684578675,
      -2.50626550567251,
      -2.54579810252383,
      -2.583578496102731,
      -2.619499251669991,
      -2.6534610033875836,
      -2.6853734021588207,
      -2.7151560519679023,
      -2.742739103673988,
      -2.7680632807199834,
      -2.791080278513025,
      -2.8117529129581387,
      -2.8300552268095998,
      -2.8459724985930133,
      -2.859501161570711,
      -2.870648637663847,
      -2.879433094575148,
      -2.885883132975177,
      -2.890037409760594,
      -2.891944205505505,
      -2.891660940956697,
      -2.8892536436059117,
      -2.884795910250026,
      -2.8783685249360973,
      -2.8700593452733876,
      -2.85996245201955,
      -2.8481774625325054,
      -2.834808843110724,
      -2.819965209451556,
      -2.803758620902775,
      -2.786303617770221,
      -2.7677162923927017,
      -2.7481141045964472,
      -2.7276152972551726,
      -2.706338123448363,
      -2.684399828348189,
      -2.6619163692574586,
      -2.6390012872643753,
      -2.615763951547299,
      -2.5923110917829573,
      -2.568746840891003,
      -2.545172289263838,
      -2.5216850802583406,
      -2.4983790497133986,
      -2.475343910730508,
      -2.452664983556471,
      -2.43042297109308,
      -2.408693779223609,
      -2.3875483062221843,
      -2.3670520340044185,
      -2.347265181524664,
      -2.3282424129604986,
      -2.3100312817910735,
      -2.292673475612739,
      -2.2762055242788737,
      -2.260658885371961,
      -2.246060158819071,
      -2.232431272253226,
      -2.219789659928445,
      -2.2081484496858717,
      -2.197516654963718,
      -2.1878993690409163,
      -2.1792979598326574,
      -2.171710263220845,
      -2.1651307734587135,
      -2.1595508292866037,
      -2.1549587949433784,
      -2.151340235184705,
      -2.1486780839939166,
      -2.1469527873411756,
      -2.1461422501906253,
      -2.1462220600877537,
      -2.1471658771193405,
      -2.1489455872295085,
      -2.1515313494704666,
      -2.1548917168201145,
      -2.158993759583245,
      -2.163803185092027,
      -2.169284454700744,
      -2.1754008987759317,
      -2.1821148298702013,
      -2.189387654758264,
      -2.197179986590545,
      -2.2054517565938703,
      -2.2141623264214423,
      -2.223270601627205,
      -2.2327351461550182,
      -2.2425142979046595,
      -2.252566285958268,
      -2.262849349144544,
      -2.2733217847273695,
      -2.283941953227235,
      -2.2946685648845544,
      -2.305460845494905,
      -2.316278659333626,
      -2.3270826310704535,
      -2.3378342668413725,
      -2.348496073202732,
      -2.35903167319584,
      -2.369405919464176,
      -2.379585003259742,
      -2.3895365584540613,
      -2.399229760366401,
      -2.408635418809125,
      -2.4177260634857354,
      -2.4264760230974582,
      -2.434861496132128,
      -2.442860612970471,
      -2.45045348965046,
      -2.4576222719486736,
      -2.4643511703245675,
      -2.4706264853167683,
      -2.4764366228375443,
      -2.481772099797294,
      -2.4866255397411163,
      -2.490991658962794,
      -2.4948672429664023,
      -2.498251113214063,
      -2.501144085689807,
      -2.50354892017598,
      -2.50547026158958,
      -2.5069145732575633,
      -2.507890063741067,
      -2.508406606425752,
      -2.5084756529712555,
      -2.508110141855739,
      -2.5073244017085017,
      -2.506134050833815,
      -2.5045558933373178,
      -2.5026078122866338,
      -2.5003086363498004,
      -2.497677998062725,
      -2.4947362792838783,
      -2.4915045089118824,
      -2.4880042523303154,
      -2.4842575021465434,
      -2.4802865704160615,
      -2.4761139828880223,
      -2.471762315221685,
      -2.4672540679862425,
      -2.4626116555885247,
      -2.457857324876137,
      -2.45301306743718,
      -2.448100536665932,
      -2.443140968931813,
      -2.4381551098622114,
      -2.4331631460556937,
      -2.428184641517943,
      -2.4232384796069035,
      -2.4183428098952926,
      -2.413515000650308,
      -2.408771596559356,
      -2.404128281734762,
      -2.3995998475223796,
      -2.395200165683482,
      -2.390942166327732,
      -2.3868378207441756,
      -2.3828981286493516,
      -2.3791331098399713,
      -2.3755518002000264,
      -2.3721622515938434,
      -2.3689715352959597,
      -2.365985749441281,
      -2.3632100296263325,
      -2.36064856252641,
      -2.3583046029011054,
      -2.3561804926807217,
      -2.3542776684439053,
      -2.3525966358256865,
      -2.3511370419988666,
      -2.3498977262752208,
      -2.3488767600681273,
      -2.3480714938368354,
      -2.3474785700594065,
      -2.3470939524803476,
      -2.3469129617045748,
      -2.3469303115129008,
      -2.3471401464828205,
      -2.34753607972044,
      -2.348111231394327,
      -2.348858267848547,
      -2.3497694405643825,
      -2.350836625666086,
      -2.35205136319142,
      -2.353404896822817,
      -2.354888212943005,
      -2.3564920800148634,
      -2.358207086843346,
      -2.360023681276001,
      -2.3619322076931444,
      -2.3639229443841985,
      -2.3659861399199573,
      -2.3681120486472502,
      -2.3702909656849176,
      -2.372513260526653,
      -2.3747694098297303,
      -2.3770500290018757,
      -2.3793459027562363,
      -2.3816480138894,
      -2.3839475545855655,
      -2.386235940253882,
      -2.3885048630571832,
      -2.390746320304944,
      -2.3929526363201097,
      -2.395116482330335,
      -2.3972308946147036,
      -2.39928929103793,
      -2.401285485803232,
      -2.4032137023092597,
      -2.405068583900884,
      -2.4068452031729026,
      -2.4085390694230213,
      -2.4101461337037238,
      -2.411662792658843,
      -2.413085890250606,
      -2.4144127176597125,
      -2.4156410116986256,
      -2.416768951219655,
      -2.4177951522271615,
      -2.4187186608833002,
      -2.4195389454353062,
      -2.420255886673523,
      -2.4208697666881425,
      -2.42138125646129,
      -2.4217914022784,
      -2.4221016110484053,
      -2.4223136347287326,
      -2.4224295531919706,
      -2.4224517568074635,
      -2.42238292823499,
      -2.422226023285962,
      -2.421984251321812,
      -2.421661055305147,
      -2.4212600913670124,
      -2.4207851955497945,
      -2.420240355584063,
      -2.4196297082733556,
      -2.4189575217817465,
      -2.4182281750838044,
      -2.4174461374939598,
      -2.4166159485463212,
      -2.4157421980880813,
      -2.4148295073124073,
      -2.4138825096228094,
      -2.4129058322551424,
      -2.411904078410374,
      -2.4108818103099994,
      -2.4098435328203784,
      -2.408793677542954,
      -2.4077365879781456,
      -2.4066765056029973,
      -2.4056175564459794,
      -2.404563738908619,
      -2.4035189122581255,
      -2.402486785974893,
      -2.4014709101359,
      -2.4004746666044903,
      -2.3995012614553097,
      -2.3985537179410064,
      -2.3976348705758657,
      -2.39674736019719,
      -2.3958936299120337,
      -2.395075921580954,
      -2.3942962735565394,
      -2.3935565193223147,
      -2.392858286523947,
      -2.3922029972044307,
      -2.3915918686290505,
      -2.3910259150498385,
      -2.390505949893066,
      -2.390032588817746,
      -2.389606253532518,
      -2.3892271755443404,
      -2.388895401402072,
      -2.3886107977920816,
      -2.388373057792128,
      -2.3881817069426674,
      -2.3880361100842644,
      -2.387935478534617,
      -2.3878788775342485,
      -2.387865233940333,
      -2.3878933444524137,
      -2.387961884093598,
      -2.388069414568184,
      -2.388214393032653,
      -2.3883951806465826,
      -2.388610051846595,
      -2.3888572031494135,
      -2.3891347622737884,
      -2.3894407970488682,
      -2.3897733242378254,
      -2.390130318608879,
      -2.3905097216703646,
      -2.390909450249612,
      -2.391327405146651,
      -2.3917614792799724,
      -2.3922095658616302,
      -2.392669566426176,
      -2.393139398183372,
      -2.3936170017413367,
      -2.3941003477045397,
      -2.3945874436526924,
      -2.3950763407184206,
      -2.3955651394395066,
      -2.396051995682401,
      -2.3965351258565946,
      -2.3970128118621314,
      -2.39748340565412,
      -2.397945333664326,
      -2.3983971005071254,
      -2.3988372924666272,
      -2.399264580398324,
      -2.3996777223408903,
      -2.4000755656774584,
      -2.400457049041977,
      -2.400821203812236,
      -2.4011671548279843,
      -2.4014941211957903,
      -2.4018014166688513,
      -2.402088449498114,
      -2.4023547218055654,
      -2.402599828734593,
      -2.4028234576337484,
      -2.4030253864113864,
      -2.403205481573682,
      -2.40336369661266,
      -2.4035000693755797,
      -2.403614719592505,
      -2.403707845806524,
      -2.403779722681429,
      -2.403830697576072,
      -2.4038611871582254,
      -2.40387167376256,
      -2.4038627017069243,
      -2.4038348733749655,
      -2.403788845228571,
      -2.403725323609868,
      -2.403645060752009,
      -2.403548850705657,
      -2.4034375247356308,
      -2.4033119473199736,
      -2.4031730118995895,
      -2.4030216365429995,
      -2.4028587595396544,
      -2.4026853355956823,
      -2.4025023313217155,
      -2.402310721500271,
      -2.40211148517824,
      -2.4019056014940134,
      -2.4016940461160985,
      -2.401477787693497,
      -2.4012577843283593
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.524595877592862,
      11.362230148776854,
      11.188690629047201,
      11.00477293615708,
      10.811225871445043,
      10.608879345227049,
      10.398706421123018,
      10.181762605428206,
      9.95918820483433,
      9.732296881051512,
      9.502493694477495,
      9.271135526614717,
      9.039508112125324,
      8.808822283060383,
      8.580144743532781,
      8.354356074991301,
      8.13212715298952,
      7.913915080474337,
      7.699969051242382,
      7.490338649959862,
      7.284894458925178,
      7.083359229350316,
      6.8853360207283245,
      6.690333348696836,
      6.497799336928041,
      6.30715270961661,
      6.117807911707423,
      5.92919068865309,
      5.74075971151262,
      5.552030476386859,
      5.362603778293309,
      5.172184135839812,
      4.980594827674711,
      4.78778038515093,
      4.593794270555038,
      4.398830719135478,
      4.203221687147057,
      4.007417930739394,
      3.811986944678072,
      3.617590632717766,
      3.4249587525874685,
      3.2348589233360787,
      3.0480685730678654,
      2.8653465679214807,
      2.68739953565261,
      2.51485791632963,
      2.3482589455425913,
      2.188036330643642,
      2.034515759909866,
      1.887915867117175,
      1.7483542900791207,
      1.6158566748703562,
      1.4903678909671476,
      1.371765119326307,
      1.2598698551102725,
      1.1544593477457272,
      1.0552772788716729,
      0.9620434508535325,
      0.8744622214118407,
      0.7922281588697616,
      0.7150327591148109,
      0.6425692880513831,
      0.5745359778177227,
      0.5106387682221891,
      0.4505933348127534,
      0.39412675013287407,
      0.3409786600437811,
      0.29090134398565537,
      0.24365971948170068,
      0.19903129469255085,
      0.15680593808913898,
      0.11678558167594753,
      0.07878438925747683,
      0.04262784841590655,
      0.008151644943835856,
      -0.024798761091553136,
      -0.05636871816952779,
      -0.08669496252999508,
      -0.11590618534110356,
      -0.14412358245965926,
      -0.1714613821483044,
      -0.1980273482131247,
      -0.22392325666982404,
      -0.2492453450711803,
      -0.2740847059358044,
      -0.2985275623160323,
      -0.32265573413762,
      -0.34654704756324606,
      -0.3702756459152879,
      -0.39391204340762087,
      -0.41752270947296427,
      -0.4411709649155135,
      -0.46491741221125,
      -0.4888201227004535,
      -0.5129348016002814,
      -0.5373149308214313,
      -0.562011890407459,
      -0.5870750585182787,
      -0.6125518900742685,
      -0.6384879739419841,
      -0.6649270686416477,
      -0.6919111164864709,
      -0.7194802357764843,
      -0.7476726909814874,
      -0.7765248403922601,
      -0.8060710611511513,
      -0.8363436514767929,
      -0.8673727095303604,
      -0.8991859894188658,
      -0.931808733918127,
      -0.9652634841651122,
      -0.9995698673743008,
      -1.0347443633106996,
      -1.0708000497739771,
      -1.1077463304820843,
      -1.145588645676207,
      -1.1843281696997632,
      -1.2239614077262544,
      -1.2644798437154503,
      -1.3058697321039572,
      -1.3481117924476844,
      -1.3911809026302968,
      -1.4350458077585415,
      -1.4796686823172316,
      -1.5250048788596589,
      -1.5710028903582334,
      -1.6176042064320262,
      -1.664743227835347,
      -1.7123472478403645,
      -1.7603362442273098,
      -1.8086224607656987,
      -1.8571112843259445,
      -1.9057014196543207,
      -1.9542854448605074,
      -2.002750607651087,
      -2.050979437466472,
      -2.0988504477261185,
      -2.1462389207548673,
      -2.1930177661809296,
      -2.239058442782849,
      -2.2842319294391955,
      -2.328409730881695,
      -2.371464902757297,
      -2.413273079703983,
      -2.4537134899850215,
      -2.4926699405173416,
      -2.530031758174829,
      -2.5656940595774285,
      -2.5995585647040294,
      -2.631534994048281,
      -2.6615420637467913,
      -2.689507983038149,
      -2.715370511204229,
      -2.73907756759488,
      -2.7605873506860577,
      -2.7798685039424216,
      -2.796900189221276,
      -2.811672071497967,
      -2.824184221702204,
      -2.8344469414729327,
      -2.8424805175596304,
      -2.8483149117903017,
      -2.851989392190663,
      -2.8535521123290177,
      -2.853059643762958,
      -2.8505764677409084,
      -2.8461740763035603,
      -2.8399304550326323,
      -2.831929975461574,
      -2.822262632049157,
      -2.811023393536022,
      -2.7983115526105014,
      -2.784230066959927,
      -2.7688848966546415,
      -2.7523843419806124,
      -2.7348383393051012,
      -2.7163574981201264,
      -2.69705262825876,
      -2.677034030179911,
      -2.656411103095043,
      -2.6352920519021685,
      -2.613783355224246,
      -2.5919892672582736,
      -2.570011160213152,
      -2.547946240706428,
      -2.5258880845701452,
      -2.503926985017663,
      -2.482149633221684,
      -2.4606388395005507,
      -2.4394732959290186,
      -2.4187272655345127,
      -2.3984702184685243,
      -2.3787666640408536,
      -2.3596750645987035,
      -2.3412484774097795,
      -2.323534977633071,
      -2.3065777048500182,
      -2.290414892363706,
      -2.275080005336998,
      -2.260601895750671,
      -2.247004942832163,
      -2.234309205853231,
      -2.2225305865553757,
      -2.2116809988552,
      -2.201768543243416,
      -2.1927976837841383,
      -2.1847694256206083,
      -2.177681492096075,
      -2.171528499335251,
      -2.1663021276405017,
      -2.1619912891094075,
      -2.158582290083555,
      -2.156058988520214,
      -2.154402854849737,
      -2.1535929639401243,
      -2.153606348836487,
      -2.154418268340992,
      -2.1560023372305546,
      -2.158330572917538,
      -2.161373516887961,
      -2.1651003538742626,
      -2.169479027765904,
      -2.1744763546088657,
      -2.180058133919063,
      -2.186189258054984,
      -2.1928338206994713,
      -2.199955224302053,
      -2.2075162876674157,
      -2.2154793531984796,
      -2.2238063945682023,
      -2.232459124970857,
      -2.241399105728231,
      -2.25058785535994,
      -2.2599869597096016,
      -2.2695581821649076,
      -2.2792635741519325,
      -2.2890655351974685,
      -2.298926808018112,
      -2.3088107318163518,
      -2.318681393840819,
      -2.328503736699818,
      -2.338243663669629,
      -2.347868140706042,
      -2.3573452955069727,
      -2.366644512470165,
      -2.3757365225732454,
      -2.384593488718307,
      -2.3931890850973385,
      -2.4014985701576284,
      -2.4094988532709096,
      -2.417168553705478,
      -2.42448805256519,
      -2.4314395365639823,
      -2.4380070340208246,
      -2.4441764419293044,
      -2.4499355446348026,
      -2.4552740242991926,
      -2.460183462521666,
      -2.464657333356483,
      -2.4686909875686815,
      -2.4722816293475067,
      -2.4754282841610196,
      -2.4781317592873604,
      -2.4803945968828978,
      -2.4822210197524988,
      -2.483616870441706,
      -2.484589544775514,
      -2.485147919074138,
      -2.4853022721982785,
      -2.4850642036104986,
      -2.484446546683958,
      -2.483463279213261,
      -2.482129430609909,
      -2.480460986809873,
      -2.4784747939330947,
      -2.4761884723735057,
      -2.473620325031549,
      -2.4707891448718353,
      -2.4677141582502853,
      -2.464414880403677,
      -2.460911063577813,
      -2.4572226582101444,
      -2.4533697228189744,
      -2.449372336770974,
      -2.445250515779245,
      -2.441024130824569,
      -2.4367128309161266,
      -2.432335969369224,
      -2.4279125344738186,
      -2.4234610839770148,
      -2.4189996847080484,
      -2.4145458559010913,
      -2.4101165175426935,
      -2.4057279435687207,
      -2.401395719201605,
      -2.397134703170438,
      -2.3929589944143785,
      -2.388881903610559,
      -2.3849159284241774,
      -2.381072733903019,
      -2.377363136421317,
      -2.3737970920550215,
      -2.370383688732176,
      -2.367131141795176,
      -2.3640467936204774,
      -2.361137116356581,
      -2.3584077178505973,
      -2.355863350576658,
      -2.353507923578139,
      -2.351344476852571,
      -2.349375193262121,
      -2.3476014625158013,
      -2.346023905239584,
      -2.344642396791919,
      -2.343456095161134,
      -2.342463485864334,
      -2.3416624010547364,
      -2.3410500363209428,
      -2.3406229812530084,
      -2.3403772511390777,
      -2.3403083190566094,
      -2.340411149100482,
      -2.3406802300675467,
      -2.3411096095807444,
      -2.341692928484645,
      -2.3424234558545156,
      -2.343294123791188,
      -2.344297562548721,
      -2.3454261354734474,
      -2.3466719736399497,
      -2.3480270105781123,
      -2.349483016620081,
      -2.3510316325474405,
      -2.3526644031338377,
      -2.3543728099060637,
      -2.356148303461919,
      -2.3579823344622217,
      -2.3598663846011556,
      -2.3617919961099023,
      -2.3637508006385235,
      -2.3657345470362556,
      -2.36773512775572,
      -2.3697446044696675,
      -2.371755232472659,
      -2.3737594834402533,
      -2.3757500671882963,
      -2.3777199517531744,
      -2.379662382286515,
      -2.381570898851774,
      -2.3834393519413193,
      -2.38526191692729,
      -2.387033106780048,
      -2.388747783511035,
      -2.3904011680372568,
      -2.3919888478641083,
      -2.3935067840730957,
      -2.39495131595289,
      -2.396319164413525,
      -2.3976074341091795,
      -2.39881361374089,
      -2.3999355747291142,
      -2.400971568908886,
      -2.4019202241258704,
      -2.402780539413771,
      -2.4035518781835954,
      -2.404233960301549,
      -2.404826852921456,
      -2.4053309604496484,
      -2.4057470134145515,
      -2.406076056119853,
      -2.4063194337263214,
      -2.4064787780893258,
      -2.406555993310235,
      -2.4065532404361494,
      -2.40647292135661,
      -2.4063176625072336,
      -2.4060902982806462,
      -2.405793853638762,
      -2.40543152689809,
      -2.4050066720835677,
      -2.4045227811623207,
      -2.403983466521,
      -2.4033924436409637,
      -2.4027535130633426,
      -2.402070543632677,
      -2.4013474549392333,
      -2.4005882009980595,
      -2.399796753946258,
      -2.398977088165742,
      -2.398133164779235,
      -2.3972689168221195,
      -2.3963882349829184,
      -2.3954949542605277,
      -2.3945928404596764,
      -2.3936855783439013,
      -2.392776759853546,
      -2.3918698730832952,
      -2.390968292558566,
      -2.390075269414098,
      -2.3891939230769843,
      -2.3883272336122636,
      -2.3874780347498965,
      -2.3866490073567923,
      -2.3858426742336833,
      -2.385061395384589,
      -2.38430736422641,
      -2.3835826043906403,
      -2.382888967377192,
      -2.3822281309617903,
      -2.381601598053721,
      -2.3810106967663045,
      -2.380456580782134,
      -2.3799402301104453,
      -2.379462452944483,
      -2.3790238880004795,
      -2.3786250072285413,
      -2.3782661192917423,
      -2.3779473731421557,
      -2.3776687625460484,
      -2.377430131087221,
      -2.3772311769213874,
      -2.3770714587429613,
      -2.3769504012685303,
      -2.3768673014930086,
      -2.3768213353453267,
      -2.376811564521682,
      -2.3768369432744727,
      -2.3768963253926256,
      -2.3769884717105882,
      -2.3771120574649633,
      -2.3772656797328966,
      -2.3774478650349224,
      -2.3776570769285983,
      -2.377891723573417,
      -2.378150165297265,
      -2.378430722297155,
      -2.378731681894297,
      -2.3790513058830003,
      -2.3793878379034585,
      -2.3797395104621226,
      -2.3801045516316557,
      -2.3804811920226756,
      -2.380867671295743,
      -2.3812622444505043,
      -2.381663187975971,
      -2.3820688055396153,
      -2.382477433504606,
      -2.382887446208699,
      -2.383297260989553,
      -2.3837053426882306,
      -2.3841102084306973,
      -2.384510431148714,
      -2.3849046434054415,
      -2.38529154090435,
      -2.38566988562038,
      -2.3860385083397184,
      -2.386396310906131,
      -2.3867422685225717,
      -2.387075431490422,
      -2.3873949262279854,
      -2.3876999566333454,
      -2.38798980476919,
      -2.3882638310198945,
      -2.388521474533681,
      -2.388762252828587,
      -2.3889857612754786,
      -2.3891916726113585,
      -2.389379735517689,
      -2.389549773386317,
      -2.389701683072801,
      -2.3898354329789506,
      -2.3899510608772667,
      -2.3900486717376404,
      -2.390128435561495,
      -2.3901905847221934,
      -2.390235411123728,
      -2.3902632633895555,
      -2.3902745437844812,
      -2.390269705285404,
      -2.3902492480977466,
      -2.3902137166950834,
      -2.3901636962218857,
      -2.390099808981227,
      -2.390022711068674,
      -2.3899330889084305,
      -2.3898316556505588,
      -2.389719147694432
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.524524369384133,
      11.361966359886084,
      11.18813934025897,
      11.003858313573815,
      10.809889139946446,
      10.60708197052769,
      10.396426722526222,
      10.17899058848179,
      9.955938276482952,
      9.728618971690688,
      9.498445107125665,
      9.26677608338629,
      9.034907496983294,
      8.80405206201034,
      8.575276599954588,
      8.349460242504056,
      8.127267119854272,
      7.909148298142941,
      7.695345225133492,
      7.485898278477633,
      7.280672751481561,
      7.079387265112542,
      6.881641455057936,
      6.686941500024425,
      6.494734884176071,
      6.304440763812888,
      6.115474823244875,
      5.9272646290362,
      5.739272751349598,
      5.551018101079714,
      5.362104264226686,
      5.172238362077003,
      4.981245816202155,
      4.789075976462746,
      4.595785835863587,
      4.4015690019990865,
      4.20676181166164,
      4.011815176513559,
      3.8172920478429355,
      3.6238487970826263,
      3.432208963389489,
      3.243133644773454,
      3.057394191691906,
      2.875743742986586,
      2.69888392280394,
      2.527441421797678,
      2.3619511139816094,
      2.2028456855059337,
      2.05045130191405,
      1.9049883585427627,
      1.766577333656886,
      1.6352476525351218,
      1.5109487344250352,
      1.3935628629571912,
      1.2829169290709206,
      1.1787936157325225,
      1.0809418495945462,
      0.9890871192666381,
      0.902939149984452,
      0.8221977703713808,
      0.7465593841220026,
      0.6757220641994123,
      0.6093889736989193,
      0.5472708480295854,
      0.48908815030281083,
      0.43457259871639825,
      0.38346792649788564,
      0.3355306596972992,
      0.290530142220447,
      0.24824829830456988,
      0.2084794227170992,
      0.1710301839606772,
      0.13571959544769335,
      0.10237769411315598,
      0.07084472427470448,
      0.04097088468321132,
      0.012615678411968517,
      -0.014352671669198382,
      -0.04005778373125097,
      -0.06461566213477371,
      -0.08813522243919975,
      -0.11071879389070895,
      -0.13246259758744786,
      -0.15345716310476676,
      -0.17378762433165273,
      -0.19353424665738203,
      -0.21277287253644955,
      -0.23157527224585814,
      -0.25000947169912063,
      -0.26814005827612103,
      -0.2860284657832495,
      -0.30373323911641154,
      -0.3213102801706328,
      -0.3388130755208408,
      -0.3562929068261189,
      -0.37379904482902987,
      -0.3913789275539517,
      -0.4090783233898432,
      -0.4269414797409168,
      -0.4450112576440288,
      -0.46332925263993296,
      -0.4819353182959926,
      -0.5008674536848017,
      -0.5201625890369717,
      -0.5398567165551098,
      -0.5599849420574927,
      -0.5805815241583218,
      -0.601679872173501,
      -0.6233125649986053,
      -0.6455113853602578,
      -0.6683073043143718,
      -0.6917304504110766,
      -0.7158100642281737,
      -0.7405744377195586,
      -0.7660508373948305,
      -0.7922654114806571,
      -0.8192430801333788,
      -0.8470074079852241,
      -0.875580459081484,
      -0.904982633778844,
      -0.9352324870828332,
      -0.9663465288464285,
      -0.9983390059498374,
      -1.031221666640911,
      -1.0650035082769171,
      -1.099690509055075,
      -1.1352853464048054,
      -1.1717871027249596,
      -1.2091909102538503,
      -1.2474875572227995,
      -1.2866632852534992,
      -1.3266995083616953,
      -1.3675725113101405,
      -1.4092531606562964,
      -1.4517066356757355,
      -1.4948921859192292,
      -1.5387629220166916,
      -1.583265647910782,
      -1.6283407419820806,
      -1.673922095088468,
      -1.7199371121421452,
      -1.766306677155451,
      -1.8129446827000875,
      -1.8597585439693158,
      -1.9066496133857154,
      -1.9535138432329426,
      -2.000242469439119,
      -2.0467225931261672,
      -2.0928378422994443,
      -2.138469107568276,
      -2.1834953428943265,
      -2.2277944219101657,
      -2.27124403657432,
      -2.3137226258952337,
      -2.355110320300425,
      -2.395289887087046,
      -2.4341476621088196,
      -2.4715744535652115,
      -2.5074663608371544,
      -2.541724983473691,
      -2.574258373050823,
      -2.6049823442071496,
      -2.6338213244529696,
      -2.660708294210316,
      -2.6855855282303542,
      -2.708404805442287,
      -2.7291276014396373,
      -2.7477252385653568,
      -2.7641789504708583,
      -2.7784798646288467,
      -2.7906289073559143,
      -2.800636636214228,
      -2.8085230060126647,
      -2.8143170737310212,
      -2.8180566481865545,
      -2.819787889743723,
      -2.819564865796277,
      -2.8174490675813106,
      -2.81350876639169,
      -2.807818170832713,
      -2.8004573608573597,
      -2.7915116918957628,
      -2.781071157270741,
      -2.7692297729775444,
      -2.756084955505177,
      -2.741736897277264,
      -2.726287943964101,
      -2.7098419780968253,
      -2.6925038133193704,
      -2.6743783029983756,
      -2.6555694931906184,
      -2.6361805224659154,
      -2.616313366374005,
      -2.596068359799003,
      -2.5755437350281563,
      -2.5548351947372945,
      -2.534035521437861,
      -2.5132342255405242,
      -2.492517233412286,
      -2.4719666058495395,
      -2.451660135216831,
      -2.4316711612976922,
      -2.412068560515643,
      -2.3929166390049668,
      -2.3742750621575377,
      -2.3561988179315456,
      -2.338738212131344,
      -2.3219388546992814,
      -2.3058416962491597,
      -2.2904831466121505,
      -2.2758951736038298,
      -2.262105415451502,
      -2.2491373074779135,
      -2.2370102211696974,
      -2.225739612497908,
      -2.2153371770866728,
      -2.205811010603856,
      -2.197165772043766,
      -2.189402848278466,
      -2.1825205185122343,
      -2.1765141173045395,
      -2.1713761951875155,
      -2.1670966759554418,
      -2.1636630102301493,
      -2.161060324711979,
      -2.159271425752538,
      -2.1582768767244147,
      -2.1580553334798904,
      -2.158583755494665,
      -2.1598375580683826,
      -2.1617906576926775,
      -2.164415580994073,
      -2.167683580118228,
      -2.1715647450650053,
      -2.176028113349968,
      -2.1810417778606,
      -2.1865729927553024,
      -2.192588277850862,
      -2.199053522276885,
      -2.2059340871762414,
      -2.21319490846234,
      -2.2208005986118993,
      -2.2287155489114645,
      -2.2369040317373745,
      -2.2453303027929863,
      -2.2539587034173385,
      -2.2627537626070264,
      -2.2716802988863645,
      -2.280703521893357,
      -2.2897891329255,
      -2.29890342474994,
      -2.308013272811218,
      -2.3170862393386042,
      -2.326090784961722,
      -2.3349963619587273,
      -2.343773502637109,
      -2.352393903970912,
      -2.3608305077144873,
      -2.369057575813787,
      -2.377050760729851,
      -2.3847871698869296,
      -2.3922454242831757,
      -2.3994057104554187,
      -2.406249825522826,
      -2.4127612155217157,
      -2.4189250062613943,
      -2.424728026783074,
      -2.430158825139887,
      -2.4352076767188535,
      -2.439866584761843,
      -2.4441292735043283,
      -2.4479911734828077,
      -2.451449399528855,
      -2.4545027221675846,
      -2.4571515315079098,
      -2.4593977947927588,
      -2.4612450075005956,
      -2.462698139151132,
      -2.4637635729223772,
      -2.464449040714859,
      -2.464763553451372,
      -2.4647173272436333,
      -2.4643217061855704,
      -2.463589081895478,
      -2.4625328105076654,
      -2.461167127778684,
      -2.4595070624277406,
      -2.457568317677737,
      -2.455367131577394,
      -2.452920288501432,
      -2.450245024184693,
      -2.447358903098549,
      -2.4442797057555654,
      -2.4410254006409504,
      -2.437614075338134,
      -2.4340638575352775,
      -2.4303928388447207,
      -2.4266190015820253,
      -2.422760148835066,
      -2.418833837775595,
      -2.414857316399231,
      -2.41084746411234,
      -2.4068207367121652,
      -2.402793114352402,
      -2.398780054470697,
      -2.3947964482249597,
      -2.3908565813542286,
      -2.386974099035581,
      -2.3831619749003803,
      -2.3794324838444463,
      -2.375797179064103,
      -2.372266872970276,
      -2.368851621922657,
      -2.3655607140014565,
      -2.3624026608534954,
      -2.359385192909487,
      -2.3565152576668678,
      -2.35379902092874,
      -2.351241856286612,
      -2.3488483194241887,
      -2.3466221950004087,
      -2.3445665201549932,
      -2.3426835994123425,
      -2.340975021991853,
      -2.339441680425537,
      -2.3380837910647543,
      -2.3369009219405124,
      -2.335892032353123,
      -2.335055481114583,
      -2.334389046524078,
      -2.3338899536027293,
      -2.333554902108112,
      -2.33338009536133,
      -2.333361269565427,
      -2.333493723805054,
      -2.3337723508155763,
      -2.3341916673912606,
      -2.3347458458465864,
      -2.335428745198448,
      -2.336233942314333,
      -2.337154763374304,
      -2.3381843149771133,
      -2.3393155153902554,
      -2.3405411250706156,
      -2.3418537769553796,
      -2.3432460063614826,
      -2.34471028048354,
      -2.346239027124107,
      -2.347824663001014,
      -2.349459620958805,
      -2.3511363767345212,
      -2.352847474756477,
      -2.3545855529129756,
      -2.356343366533434,
      -2.3581138110613478,
      -2.3598899438657672,
      -2.3616650051295354,
      -2.3634324370928144,
      -2.3651859023557615,
      -2.3669193008270613,
      -2.3686267854157883,
      -2.3703027765653633,
      -2.3719419752744693,
      -2.3735393745563633,
      -2.3750902699543195,
      -2.376590268511262,
      -2.378035296308835,
      -2.379421604694629,
      -2.3807457749636325,
      -2.382004721875492,
      -2.3831956957825136,
      -2.384316283300337,
      -2.385364407016836,
      -2.3863383235191264,
      -2.3872366202435202,
      -2.3880582115560594,
      -2.3888023332043065,
      -2.389468536013458,
      -2.3900566783833437,
      -2.390566917806776,
      -2.3909997013801325,
      -2.391355755788971,
      -2.3916360762878903,
      -2.391841914859266,
      -2.3919747675851606,
      -2.3920363617792213,
      -2.392028642459783,
      -2.391953758155494,
      -2.391814046799435,
      -2.39161202094227,
      -2.3913503527385096,
      -2.391031859007379,
      -2.39065948560257,
      -2.390236292411354,
      -2.3897654381163624,
      -2.3892501650218594,
      -2.388693783993469,
      -2.3880996598635944,
      -2.3874711964842508,
      -2.386811822694308,
      -2.386124978329663,
      -2.385414100777137,
      -2.384682612011248,
      -2.383933905798035,
      -2.3831713356628477,
      -2.382398203454786,
      -2.3816177483892336,
      -2.380833136701337,
      -2.3800474517877825,
      -2.3792636849154065,
      -2.3784847272342335,
      -2.3777133619474475,
      -2.3769522568621024,
      -2.376203958103108,
      -2.375470884294612,
      -2.3747553213757224,
      -2.3740594184189865,
      -2.373385183749047,
      -2.372734481675609,
      -2.3721090301010266,
      -2.371510398956853,
      -2.3709400086567474,
      -2.370399129585412,
      -2.3698888821648807,
      -2.369410237139674,
      -2.3689640167900623,
      -2.3685508966105755,
      -2.368171407345276,
      -2.367825937423902,
      -2.3675147361462754,
      -2.367237916893127,
      -2.3669954610655317,
      -2.366787222283331,
      -2.3666129310336848,
      -2.3664721992481477,
      -2.3663645254560866,
      -2.3662893002967507,
      -2.3662458120697325,
      -2.3662332525631062,
      -2.366250722888785,
      -2.3662972396654167,
      -2.366371741329198,
      -2.366473094606,
      -2.3666001005180015,
      -2.3667515012302824,
      -2.3669259862452026,
      -2.36712219899562,
      -2.3673387433109343,
      -2.367574189738796,
      -2.367827081858643,
      -2.36809594262004,
      -2.368379280333854,
      -2.3686755945035687,
      -2.368983381988478,
      -2.3693011425681596,
      -2.3696273842482696,
      -2.3699606286997197,
      -2.3702994165627795,
      -2.370642311889033,
      -2.3709879068784194,
      -2.3713348263897363,
      -2.371681732110463,
      -2.3720273265766307,
      -2.3723703562695633,
      -2.372709615457728,
      -2.3730439490951976,
      -2.3733722555304144,
      -2.3736934890684185,
      -2.3740066621754794,
      -2.374310847522889,
      -2.3746051796598735,
      -2.3748888562094534,
      -2.3751611388879184,
      -2.3754213547007343,
      -2.3756688962938095,
      -2.375903222171226,
      -2.376123856980781,
      -2.376330391002584,
      -2.376522479959752,
      -2.376699844338623,
      -2.376862268269984,
      -2.3770095984833706,
      -2.3771417430318382,
      -2.3772586698924543,
      -2.37736040503924,
      -2.3774470307568327,
      -2.3775186833860626
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52448178057798,
      11.361768567951055,
      11.18769830433464,
      11.00310445592482,
      10.808769067916549,
      10.60556206015028,
      10.394488837416226,
      10.17662731881054,
      9.953171728168105,
      9.72549886891727,
      9.495026074810806,
      9.263115354156675,
      9.03106996592323,
      8.800104377447678,
      8.571289174035932,
      8.34549765323929,
      8.123388198311797,
      7.905406448796301,
      7.691785149620548,
      7.482557894904881,
      7.277585716210059,
      7.076583838210508,
      6.879148972493797,
      6.684785736924966,
      6.492941327459118,
      6.303035505318621,
      6.1144852751523775,
      5.926720013937962,
      5.73920588335471,
      5.551464673824001,
      5.363101997262993,
      5.173826637383446,
      4.983465069088912,
      4.791968883326732,
      4.599398228988798,
      4.405945397279214,
      4.211946912962411,
      4.017855526741006,
      3.8242287030730386,
      3.631716576680504,
      3.4410360412772976,
      3.252941542668966,
      3.068198369762745,
      2.8875542972564414,
      2.7117066038474356,
      2.5412789972244836,
      2.376804915158261,
      2.2187170071513713,
      2.0673428062273693,
      1.9229053618141478,
      1.7855287511112627,
      1.6552468108703835,
      1.5320140219029081,
      1.415718156478301,
      1.3061917351028631,
      1.203223098918262,
      1.1065664670897923,
      1.015952555104017,
      0.9310963397417024,
      0.8517027069196398,
      0.7774728949789983,
      0.7081093010206252,
      0.643319490033763,
      0.5828186013123509,
      0.5263314843520002,
      0.47359402816218105,
      0.42435396194375924,
      0.37837141699718857,
      0.3354194316129766,
      0.2952838921790835,
      0.2577630854722176,
      0.2226680592011057,
      0.18982208337132903,
      0.1590594543641319,
      0.1302248415200751,
      0.1031725694352532,
      0.07776652197198007,
      0.053879592719504765,
      0.03139298803869349,
      0.010195692855118666,
      -0.009816044663308092,
      -0.028739206782561238,
      -0.04666445316927072,
      -0.06367618061945096,
      -0.07985295599672883,
      -0.0952683623731844,
      -0.10999142775715644,
      -0.12408696526310108,
      -0.13761589217425027,
      -0.1506355726011501,
      -0.16320010273176636,
      -0.1753605133979064,
      -0.18716501114070005,
      -0.19865920799487258,
      -0.20988633606228446,
      -0.22088743079044706,
      -0.23170132196071583,
      -0.2423648868169189,
      -0.2529133897533646,
      -0.26338063065103484,
      -0.273799083684257,
      -0.28420002696771596,
      -0.29461366395513494,
      -0.30506923681367076,
      -0.3155951324289648,
      -0.3262189815039694,
      -0.3369677509979569,
      -0.34786782970561403,
      -0.35894487055698726,
      -0.37022385455779,
      -0.3817293881710212,
      -0.39348576774229654,
      -0.40551708172432943,
      -0.41784722954606535,
      -0.4304999217716847,
      -0.4434987596945073,
      -0.4568672749621932,
      -0.4706289626235698,
      -0.4848073089643872,
      -0.49942581418850795,
      -0.5145080094229355,
      -0.5300768218014181,
      -0.5461544429711739,
      -0.5627630516600068,
      -0.5799248458270471,
      -0.597662023815781,
      -0.6159967582035963,
      -0.6349511615768437,
      -0.6545472443115836,
      -0.6748068631315872,
      -0.6957516602478355,
      -0.7174029920650676,
      -0.739781847178377,
      -0.7629087527311202,
      -0.7868036687592533,
      -0.8114858694691404,
      -0.8369738109042627,
      -0.863284984910324,
      -0.8904357581597395,
      -0.9184411963704094,
      -0.947314873583294,
      -0.9770686658291201,
      -1.0077125297526417,
      -1.0392542665000535,
      -1.0716992715771931,
      -1.1050502717183124,
      -1.1393070500196925,
      -1.1744661609950233,
      -1.210520568952242,
      -1.2474592976596866,
      -1.2852672384283517,
      -1.3239248735378106,
      -1.3634079887874482,
      -1.40368739886015,
      -1.444728690928557,
      -1.4864919927623563,
      -1.5289317716447555,
      -1.571996671323275,
      -1.6156293933771069,
      -1.6597666306118561,
      -1.704339057816206,
      -1.7492713874931964,
      -1.794482249254424,
      -1.8398838457474986,
      -1.8853825527541146,
      -1.9308795276802133,
      -1.9762714689995775,
      -2.0214511389976892,
      -2.0663079610459825,
      -2.1107286871196766,
      -2.1545981277783848,
      -2.1977999347269765,
      -2.2402174265022428,
      -2.281734445876167,
      -2.3222362356313733,
      -2.361610319486365,
      -2.399747374971167,
      -2.43654208565735,
      -2.4718939690055715,
      -2.5057078127498276,
      -2.5378940773466185,
      -2.568370315038959,
      -2.5970620094113763,
      -2.623902491357918,
      -2.6488338670626472,
      -2.671807169181525,
      -2.6927825524932216,
      -2.7117294678208843,
      -2.7286267531953805,
      -2.743462646914072,
      -2.7562347261239157,
      -2.7669497748821805,
      -2.775623585756915,
      -2.7822807025470477,
      -2.7869541072567445,
      -2.78968485743668,
      -2.7905216790938683,
      -2.789520520271641,
      -2.7867440703755517,
      -2.7822610652220905,
      -2.7761456343512494,
      -2.7684771321348522,
      -2.7593395239506844,
      -2.7488208050184975,
      -2.7370124115373704,
      -2.7240086287706116,
      -2.7099059998095028,
      -2.69480273934788,
      -2.678798156823656,
      -2.661991783625079,
      -2.644482788441332,
      -2.6263697895090656,
      -2.6077503714196575,
      -2.5887206643839065,
      -2.569374907726982,
      -2.549805040004414,
      -2.5301003238647573,
      -2.510347006352655,
      -2.490628016603727,
      -2.471022701164109,
      -2.4516065974422423,
      -2.4324512444730457,
      -2.41362403134516,
      -2.3951880807399193,
      -2.377202167115713,
      -2.359720665929897,
      -2.3427934961248287,
      -2.326466131227117,
      -2.3107796679276555,
      -2.2957708843001456,
      -2.2814723183120194,
      -2.2679123637214915,
      -2.2551153810253264,
      -2.243101821274565,
      -2.231888359390083,
      -2.221488035709102,
      -2.2119104033372543,
      -2.203161679622512,
      -2.195244899808402,
      -2.18816007153732,
      -2.1819043290610685,
      -2.176472085948615,
      -2.171855185698949,
      -2.1680430494390004,
      -2.165022819551775,
      -2.162779420681497,
      -2.161295548512729,
      -2.160551995997923,
      -2.1605278420943583,
      -2.161200646133998,
      -2.1625465429952797,
      -2.1645403009428175,
      -2.1671554347793935,
      -2.1703643159968515,
      -2.174138280392062,
      -2.1784477333256658,
      -2.18326225275343,
      -2.1885506908680212,
      -2.194281274154438,
      -2.2004217019462953,
      -2.2069392453688916,
      -2.213800844549414,
      -2.2209732055433826,
      -2.2284228972596622,
      -2.236116447647823,
      -2.2440204395784016,
      -2.2521016062316375,
      -2.2603269264152126,
      -2.268663718547157,
      -2.2770797340204822,
      -2.285543249292263,
      -2.294023156599351,
      -2.3024890525482773,
      -2.310911325107987,
      -2.319261191996885,
      -2.327510725503416,
      -2.335633028169343,
      -2.3436023296612314,
      -2.3513940560470368,
      -2.3589848955287303,
      -2.3663528581814792,
      -2.3734773307673085,
      -2.3803391257702686,
      -2.3869205239709346,
      -2.393205311275263,
      -2.399178808861537,
      -2.4048278966557537,
      -2.4101410297234307,
      -2.4151082483233894,
      -2.419721180779928,
      -2.4239730397455066,
      -2.4278586112982015,
      -2.43137423778557,
      -2.4345177939963882,
      -2.437288657199006,
      -2.439687670965019,
      -2.441717103246302,
      -2.4433805990589605,
      -2.444683128569621,
      -2.445630929735097,
      -2.446231447017389,
      -2.446493266452843,
      -2.446426046717614,
      -2.446040447736659,
      -2.4453480201064215,
      -2.4443610879112665,
      -2.4430927367458644,
      -2.4415567497415687,
      -2.4397675288345795,
      -2.4377400184005076,
      -2.4354896499912853,
      -2.433032253425328,
      -2.430383959053525,
      -2.427561121432704,
      -2.4245802445384963,
      -2.4214578815634527,
      -2.4182105594128886,
      -2.4148547496779513,
      -2.4114068070252297,
      -2.4078829066480067,
      -2.4042989849719327,
      -2.400670683666407,
      -2.3970132968926197,
      -2.393341722512117,
      -2.389670416383868,
      -2.386013350638217,
      -2.382383975372766,
      -2.378795184163243,
      -2.375259283306651,
      -2.371787964849538,
      -2.368392282928643,
      -2.365082633853054,
      -2.3618687394778646,
      -2.358759634220094,
      -2.355763655090479,
      -2.3528884279496576,
      -2.3501408351313144,
      -2.3475270339675234,
      -2.3450524742041616,
      -2.342721902864619,
      -2.3405393714502702,
      -2.3385082460243822,
      -2.336631218942153,
      -2.3349103225641965,
      -2.3333469451890467,
      -2.3319418482189205,
      -2.330695186827156,
      -2.329606545341086,
      -2.328674953263153,
      -2.3278988961165252,
      -2.327276339181281,
      -2.326804752005562,
      -2.3264811339330635,
      -2.326302040329829,
      -2.3262636092451565,
      -2.326361588905188,
      -2.3265913650128467,
      -2.3269479887639184,
      -2.327426205318096,
      -2.328020481803969,
      -2.32872503561557,
      -2.3295338628442526,
      -2.3304407662299664,
      -2.3314393828828823,
      -2.3325232122796735,
      -2.3336856433085926,
      -2.334919981020745,
      -2.336219473133082,
      -2.3375773356170035,
      -2.3389867777748243,
      -2.3404410267984934,
      -2.3419333514490623,
      -2.343457085055192,
      -2.345005647265773,
      -2.3465725652648617,
      -2.348151494240499,
      -2.3497362361888525,
      -2.3513207583730833,
      -2.35289921031712,
      -2.3544659398934273,
      -2.356015508099445,
      -2.357542702577184,
      -2.3590425500858836,
      -2.3605103282406694,
      -2.3619415755094666,
      -2.363332099889061,
      -2.3646779866837457,
      -2.3659756049481317,
      -2.367221612515086,
      -2.368412960042829,
      -2.369546894110329,
      -2.3706209586316036,
      -2.3716329952872424,
      -2.3725811428624417,
      -2.3734638355356807,
      -2.374279800065391,
      -2.3750280516215962,
      -2.3757078893366876,
      -2.3763188901079726,
      -2.376860902140598,
      -2.3773340374829544,
      -2.3777386633190316,
      -2.378075393261077,
      -2.378345077293558,
      -2.378548791413907,
      -2.3786878267453786,
      -2.378763678052563,
      -2.3787780316938427,
      -2.3787327534539533,
      -2.378629875836231,
      -2.378471585158549,
      -2.3782602085945,
      -2.37799820069199,
      -2.3776881301735044,
      -2.377332666601704,
      -2.376934567206019,
      -2.3764966633523295,
      -2.376021847460293,
      -2.37551306010344,
      -2.3749732774341537,
      -2.3744054986666794,
      -2.373812733758167,
      -2.3731979918845676,
      -2.3725642699323566,
      -2.3719145414982705,
      -2.371251746378845,
      -2.3705787805293266,
      -2.369898486318583,
      -2.3692136436660904,
      -2.3685269616803364,
      -2.3678410704658743,
      -2.3671585137313147,
      -2.3664817419646993,
      -2.3658131061941976,
      -2.365154852706233,
      -2.364509117463628,
      -2.3638779217629793,
      -2.3632631684303194,
      -2.3626666386141832,
      -2.3620899887262095,
      -2.3615347484507976,
      -2.361002318912288,
      -2.360493971816715,
      -2.3600108486022275,
      -2.359553960717695,
      -2.3591241895015607,
      -2.3587222873881104,
      -2.3583488791660385,
      -2.3580044639952384,
      -2.357689416904603,
      -2.357403992002582,
      -2.357148325051853,
      -2.356922436925384,
      -2.3567262368661197,
      -2.3565595267102375,
      -2.356422004841655,
      -2.356313270629406,
      -2.3562328290812147,
      -2.3561800955989214,
      -2.3561544008734896,
      -2.3561549960592107,
      -2.356181058263775,
      -2.356231695678552,
      -2.356305953047341,
      -2.356402817357276,
      -2.356521223177705,
      -2.356660058496884,
      -2.3568181699737467,
      -2.356994368607367,
      -2.357187435300995,
      -2.357396126153236,
      -2.3576191781231146,
      -2.3578553141391914,
      -2.3581032482993667,
      -2.3583616905889713,
      -2.358629352120928,
      -2.358904949765232,
      -2.3591872108671437,
      -2.359474877532905,
      -2.3597667106236573,
      -2.3600614940057323,
      -2.3603580382833425,
      -2.360655184409736,
      -2.3609518071666376,
      -2.3612468180448283,
      -2.3615391682802422,
      -2.361827851630346
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.524442635375344,
      11.361587201669211,
      11.187295015397941,
      11.002416928814208,
      10.807750232954449,
      10.604183773501994,
      10.392738397546236,
      10.174503067814733,
      9.95070226927388,
      9.722733990647185,
      9.49201976029751,
      9.25992522517575,
      9.02775982865638,
      8.796741609377763,
      8.567941840468778,
      8.342226202048936,
      8.120247868820016,
      7.902445904235692,
      7.689044838563562,
      7.480073821955717,
      7.275390215396946,
      7.074706325606678,
      6.8776164962962385,
      6.683624293409503,
      6.4921769020532025,
      6.30269482690347,
      6.11459646077175,
      5.927312988122545,
      5.740313901792836,
      5.553123431151968,
      5.3653485892522275,
      5.176699051362098,
      4.987001447699064,
      4.796207974297164,
      4.604381614160709,
      4.411712097959064,
      4.218533243974147,
      4.025298781127081,
      3.8325613852216414,
      3.6409643555747033,
      3.4512175710799045,
      3.264068701306181,
      3.080276959244866,
      2.90058503962268,
      2.7256864178992557,
      2.5562024789005937,
      2.3926659608033667,
      2.2355103187008756,
      2.0850652392275424,
      1.9415571556042173,
      1.8051143991797343,
      1.675775771192942,
      1.553501285627194,
      1.4381845458989937,
      1.3296639226947147,
      1.2277335135940342,
      1.1321531337865098,
      1.0426585472216632,
      0.958969463556572,
      0.8807957462048374,
      0.8078432865381381,
      0.739818749135301,
      0.6764335183405545,
      0.6174067818793653,
      0.5624673524646102,
      0.5113548518798434,
      0.46382065058201144,
      0.4196284531436488,
      0.3785545665883739,
      0.3403880437756969,
      0.30493082139850475,
      0.2719978459604279,
      0.24141606690313427,
      0.21302354658673464,
      0.1866689591122061,
      0.16221093259842295,
      0.13951736943023996,
      0.11846536403417651,
      0.0989414583834873,
      0.08084054389049415,
      0.0640648856921219,
      0.048523615753836416,
      0.03413240477606004,
      0.020811579482034222,
      0.008485026333766405,
      -0.002918079462575371,
      -0.013463388915803877,
      -0.023211746010649313,
      -0.03221953007276528,
      -0.0405389746961145,
      -0.048218464658322,
      -0.055302811986061684,
      -0.061833326537351484,
      -0.06784790999949103,
      -0.07338159148569182,
      -0.07846667449257866,
      -0.08313278031896816,
      -0.08740787375764922,
      -0.09131834946721885,
      -0.09488779617471828,
      -0.09813711254633545,
      -0.10108557316904017,
      -0.10375097618575048,
      -0.10614974137288119,
      -0.10829720782729566,
      -0.11020822253962448,
      -0.11189660735929555,
      -0.11337505562750322,
      -0.114655208865864,
      -0.11574772765463062,
      -0.1166624233680986,
      -0.11740857348108172,
      -0.11799471831254373,
      -0.11842858079233504,
      -0.11871715880168339,
      -0.11886677294660479,
      -0.11888311015950331,
      -0.11877126386674784,
      -0.11853575229460309,
      -0.11818053989463229,
      -0.11770909818607903,
      -0.11712443877720953,
      -0.11642913899024963,
      -0.11562536540397812,
      -0.11471489522224193,
      -0.11369913582629011,
      -0.11257914245413254,
      -0.1113556342672868,
      -0.11002900880406533,
      -0.1085993549907653,
      -0.10706646593120457,
      -0.10542985636610851,
      -0.10368876802029464,
      -0.10184217265445286,
      -0.09988877905344257,
      -0.09782703901045488,
      -0.09565515240682493,
      -0.09337107129282152,
      -0.09097250345592632,
      -0.08845691498198861,
      -0.08582153147567091,
      -0.08306333894428189,
      -0.0801790839225904,
      -0.07716532372092727,
      -0.07401856149213384,
      -0.07073548804671904,
      -0.06731257065316464,
      -0.06374544904490857,
      -0.06002909642707468,
      -0.05615842120409502,
      -0.052128262262483516,
      -0.04793377518390857,
      -0.043571202327734856,
      -0.03903736386589552,
      -0.03432912072608166,
      -0.029444503425036628,
      -0.024383033801347515,
      -0.01914449684743303,
      -0.013728820927628296,
      -0.008138271758817619,
      -0.0023767776333114728,
      0.0035520538389581767,
      0.00964499815946214,
      0.015898071338531907,
      0.02230503621742879,
      0.028858785106530244,
      0.03555305628526774,
      0.04238245776768688,
      0.0493424417863323,
      0.056429979425935174,
      0.06364337326308891,
      0.07098005931419063,
      0.07843664135924347,
      0.08601017104072402,
      0.09369688700499065,
      0.10149178293044046,
      0.10939226452264449,
      0.11739759162671969,
      0.12550785808378415,
      0.13372326054675415,
      0.14204456102100724,
      0.150473566439881,
      0.15901212283865646,
      0.167661310234288,
      0.1764220501150894,
      0.18529603049326432,
      0.19428588180120035,
      0.20339419096724798,
      0.21262341389254338,
      0.22197588729671305,
      0.23145383864628405,
      0.24105939483387803,
      0.25079458932309795,
      0.2606613681679627,
      0.2706614663274747,
      0.2807961374742146,
      0.2910663704898638,
      0.30147262421401916,
      0.31201525634856464,
      0.32269591919227936,
      0.33351713099130686,
      0.34448021042766136,
      0.3555858786581173,
      0.36683478690881044,
      0.3782275522515063,
      0.38976475040088154,
      0.40144690885765444,
      0.4132745002995981,
      0.4252479342545189,
      0.43736754251350785,
      0.449633578225097,
      0.4620462150249607,
      0.47460554052294845,
      0.4873111230193131,
      0.5001612788515225,
      0.513154113162957,
      0.5262877733111035,
      0.5395604254767694,
      0.5529703395136423,
      0.5665165214811436,
      0.5801982962955421,
      0.5940148131178047,
      0.6079650428420802,
      0.6220477753630097,
      0.6362616164377746,
      0.6506049845254555,
      0.6650761073809344,
      0.6796730184623125,
      0.694393339770374,
      0.7092331854495519,
      0.7241879381163285,
      0.7392529782250786,
      0.7544237650062757,
      0.7696969778934117,
      0.7850700355852493,
      0.8005400630980081,
      0.8161038991209254,
      0.8317581026964028,
      0.8474989590253375,
      0.8633226444251979,
      0.8792259018497602,
      0.895205482980446,
      0.9112577567994857,
      0.9273789836316875,
      0.9435651453035668,
      0.9598119684999167,
      0.9761151914984513,
      0.9924707043678008,
      1.008874320340488,
      1.0253214559330899,
      1.0418073140187387,
      1.0583263491242654,
      1.0748722242449213,
      1.0914383338756641,
      1.108017828227078,
      1.1246036286593875,
      1.1411884439192248,
      1.1577647863977603,
      1.1743248912809652,
      1.1908605789664946,
      1.2073634931264912,
      1.223825173664141,
      1.2402370731860826,
      1.2565905738713017,
      1.2728770058628844,
      1.2890876653979888,
      1.3052138339317327,
      1.3212467976156075,
      1.3371778673435988,
      1.3529983988538887,
      1.3686998132255033,
      1.3842736176890558,
      1.3997114260480255,
      1.415004979366723,
      1.430146166653467,
      1.4451270448488418,
      1.459939858587035,
      1.47457705957723,
      1.4890313254932033,
      1.5032955777924097,
      1.5173629992511481,
      1.5312272117053278,
      1.5448824463876227,
      1.5583232454520952,
      1.5715444154945115,
      1.5845410443058323,
      1.5973085160774778,
      1.6098424343863593,
      1.6221386387903305,
      1.6341933156235804,
      1.6460030078480044,
      1.6575646208664987,
      1.6688754273172426,
      1.6799330700074835,
      1.690735563880219,
      1.7012812959809946,
      1.7115690245862816,
      1.7215978764753523,
      1.7313673432684058,
      1.7408772767448668,
      1.7501278821484905,
      1.7591197109367283,
      1.7678536527106643,
      1.7763309257147206,
      1.7845530663722822,
      1.792521918484145,
      1.800239621097731,
      1.8077085961480954,
      1.8149315354026656,
      1.8219113865032204,
      1.8286513389738004,
      1.835154810153821,
      1.8414254300041406,
      1.8474670265373783,
      1.8532836107288995,
      1.8588793618548456,
      1.8642586119185593,
      1.8694258306789735,
      1.8743856113224298,
      1.8791426556005228,
      1.8837017595988037,
      1.8880677995223414,
      1.8922457182592645,
      1.896240512058997,
      1.900057217273442,
      1.9037008985339243,
      1.9071766364800755,
      1.9104895165146245,
      1.9136446177676827,
      1.9166470030303306,
      1.9195017088390758,
      1.9222137455728356,
      1.9247881370852227,
      1.9272298752583017,
      1.929543879474238,
      1.9317349902310161,
      1.9338079644422614,
      1.935767470318234,
      1.9376180831319387,
      1.939364281391592,
      1.9410104431933617,
      1.9425608433913264,
      1.9440196509984826,
      1.9453909270957466,
      1.9466786229138735,
      1.9478865785139705,
      1.949018522084444,
      1.950078069004891,
      1.9510687214037474,
      1.9519938685275127,
      1.95285678686492,
      1.953660640442746,
      1.9544084818618828,
      1.9551032532171904,
      1.9557477873136395,
      1.9563448092869367,
      1.9568969377172465,
      1.9574066871223148,
      1.9578764693399933,
      1.9583085953287278,
      1.9587052777439677,
      1.9590686331721543,
      1.9594006842768035,
      1.9597033623655353,
      1.9599785097667874,
      1.9602278820664858,
      1.9604531508137624,
      1.9606559064397437,
      1.9608376605732545,
      1.9609998485141766,
      1.961143831761125,
      1.9612709007939433,
      1.9613822774979182,
      1.961479117989872,
      1.9615625147241031,
      1.9616334995539024,
      1.9616930455580381,
      1.9617420696641659,
      1.9617814349979472,
      1.961811953463042,
      1.9618343876336666,
      1.9618494529734707,
      1.9618578200223995,
      1.9618601167517573,
      1.9618569306768778,
      1.9618488102164309,
      1.961836266974306,
      1.961819777771083,
      1.9617997861682959,
      1.961776704194583,
      1.9617509141699736,
      1.9617227702694304,
      1.9616926000268662,
      1.9616607057264606,
      1.9616273660352659,
      1.9615928372134768,
      1.961557354459972,
      1.961521133035306,
      1.9614843699229685,
      1.9614472444502815,
      1.961409919800167,
      1.9613725436319052,
      1.961335249335018,
      1.9612981571017258,
      1.9612613744592835,
      1.9612249974318368,
      1.96118911116001,
      1.9611537906892988,
      1.9611191018753726,
      1.9610851018962598,
      1.9610518401334358,
      1.9610193581493849,
      1.9609876911513346,
      1.9609568679900415,
      1.96092691177793,
      1.9608978403636523,
      1.9608696669158774,
      1.960842400056606,
      1.9608160443570393,
      1.96079060073803,
      1.9607660672824951,
      1.960742439136833,
      1.9607197083659638,
      1.9606978650841524,
      1.9606768974191244,
      1.9606567913773985,
      1.9606375315774054,
      1.960619101170817,
      1.960601482071327,
      1.9605846550834642,
      1.960568600134793,
      1.9605532968654085,
      1.9605387241499297,
      1.9605248602815801,
      1.960511683309824,
      1.9604991712258069,
      1.9604873018426665,
      1.9604760527778693,
      1.9604654018933982,
      1.9604553270238507,
      1.9604458063144807,
      1.9604368179997607,
      1.9604283408934517,
      1.9604203540134435,
      1.9604128368164206,
      1.9604057689234966,
      1.9603991304047956,
      1.9603929019618074,
      1.9603870644985082,
      1.960381599810832,
      1.9603764900037106,
      1.9603717177720381,
      1.960367266578869,
      1.9603631201208922,
      1.960359262861127,
      1.960355679848732,
      1.9603523564361824,
      1.9603492786061565,
      1.9603464326365376,
      1.9603438055784819,
      1.9603413849706823,
      1.9603391589595671,
      1.9603371161644987,
      1.9603352457963352,
      1.9603335370633042,
      1.9603319799498984,
      1.9603305649776028,
      1.9603292833205175,
      1.9603281262084935,
      1.960327085346908,
      1.960326152878186,
      1.9603253212918352,
      1.9603245836389747,
      1.9603239331359894,
      1.9603233636831077,
      1.9603228693140196,
      1.960322444255693,
      1.9603220830895574,
      1.9603217809629891,
      1.9603215330370738,
      1.9603213346972712,
      1.960321181814586,
      1.9603210706500387,
      1.9603209975041727,
      1.9603209588242918,
      1.9603209511081043,
      1.9603209714173901
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.524406709268574,
      11.361421179894547,
      11.18692698698408,
      11.001791385194291,
      10.806827059966826,
      10.602940949093304,
      10.39116750444847,
      10.17260909088107,
      9.948518863269564,
      9.720310964662458,
      9.489410265242968,
      9.257185691909305,
      9.024951472086688,
      8.793932392924484,
      8.565195758438769,
      8.339600028767832,
      8.117793634615149,
      7.900207811643433,
      7.6870609463044275,
      7.478378418948156,
      7.274014461961473,
      7.073678934851065,
      6.8769643351761545,
      6.68337357606827,
      6.4923540791953505,
      6.303327212315307,
      6.1157128157243985,
      5.928943879288899,
      5.742492341339209,
      5.555885141977059,
      5.368730132908597,
      5.180737190343511,
      4.99173229841604,
      4.80166737059445,
      4.610607379413342,
      4.418738370147391,
      4.226388271509253,
      4.0340104831668935,
      3.842154565592276,
      3.6514564545715738,
      3.4626186880858025,
      3.2763820479166195,
      3.0934996488542277,
      2.9147093510670405,
      2.7407012991751794,
      2.572095151572985,
      2.4094235762074847,
      2.253121557000018,
      2.103521615026599,
      1.960854213806967,
      1.8252525487911866,
      1.6967608804841712,
      1.575345240664313,
      1.4609053467477464,
      1.3532856202759191,
      1.2522859759585367,
      1.1576718383657765,
      1.0691842959208318,
      0.9865476442944471,
      0.9094761271674141,
      0.8376800877523966,
      0.7708703660098316,
      0.7087620067500877,
      0.6510776995606701,
      0.597549811406656,
      0.5479213365435661,
      0.5019469129015633,
      0.4593934413078813,
      0.4200403854276032,
      0.3836798231025981,
      0.3501166120763784,
      0.3191688861788808,
      0.2906668547409362,
      0.2644519297302622,
      0.24037633482492848,
      0.21830341786550886,
      0.1981067408207707,
      0.17966884818958095,
      0.162880798029711,
      0.14764046147914342,
      0.1338495727964435,
      0.12141722217850168,
      0.11026075305204472,
      0.10030425265818345,
      0.09147790179991372,
      0.08371755995591383,
      0.07696273961992627,
      0.07115604477146317,
      0.06624607977540604,
      0.06218685445198541,
      0.05893565155387603,
      0.056453976968090444,
      0.054706364700297896,
      0.05366158293914695,
      0.05329185616893471,
      0.05357168399539065,
      0.054477298989136225,
      0.05598710897500552,
      0.05807882893615366,
      0.06073062509338344,
      0.06391928275048846,
      0.06761473125592678,
      0.0717822957231298,
      0.07638923928062866,
      0.08140281446325268,
      0.0867907098027642,
      0.09252242068130824,
      0.0985692186058029,
      0.10490676795900648,
      0.11151280024109587,
      0.11836584026114355,
      0.12544564390798144,
      0.13273351256002305,
      0.14021528989655666,
      0.14787979770039084,
      0.15571751415856225,
      0.16372059398075645,
      0.1718832244019482,
      0.18020022353269263,
      0.188666958272595,
      0.1972804848331173,
      0.20603933350028464,
      0.2149423589099383,
      0.22398869387112075,
      0.2331777144776383,
      0.24250900864240646,
      0.25198234805195624,
      0.2615976627949021,
      0.27135499267562796,
      0.28125403860221254,
      0.2912937853571269,
      0.30147323534007925,
      0.31179167599815577,
      0.32224864239850753,
      0.3328451204138163,
      0.34358264089805773,
      0.35446152994663066,
      0.3654818642429291,
      0.37664374618465407,
      0.38794729058067345,
      0.39939261222844186,
      0.41097981449161997,
      0.42270897845784716,
      0.43458014909500886,
      0.4465933191848068,
      0.4587484292449699,
      0.47104536122004187,
      0.4834836523829124,
      0.4960615932732577,
      0.508777153936166,
      0.5216283707947063,
      0.5346133216173538,
      0.5477301030864667,
      0.5609768378994412,
      0.5743523029683751,
      0.5878557437927144,
      0.6014862321480409,
      0.6152426644979904,
      0.6291237602721608,
      0.6431280598159218,
      0.6572539217624563,
      0.6714995208524187,
      0.6858628451186497,
      0.700340957699069,
      0.714929532481751,
      0.7296240646110135,
      0.7444200480365066,
      0.7593131760386129,
      0.7743000532977768,
      0.7893780742984451,
      0.8045444790093609,
      0.819796227569712,
      0.8351300087921882,
      0.8505422476311418,
      0.8660291121868907,
      0.8815870559759638,
      0.897212957834554,
      0.9129030897756133,
      0.9286531127338651,
      0.9444587585504439,
      0.9603156863875411,
      0.9762198546024969,
      0.992167012419781,
      1.0081528578868528,
      1.0241733896410024,
      1.0402243777431268,
      1.0563006939858621,
      1.072396544484861,
      1.0885058776281162,
      1.1046224015628396,
      1.1207396008688495,
      1.1368505911862146,
      1.1529481063196643,
      1.1690247167733474,
      1.1850728608632313,
      1.2010848599387094,
      1.2170529341685206,
      1.2329692197772366,
      1.2488257859656384,
      1.264614651975003,
      1.2803278048971003,
      1.2959572181601642,
      1.3114948698470579,
      1.3269327614143938,
      1.3422629363524512,
      1.3574774992804957,
      1.372568634994273,
      1.3875286272762002,
      1.4023498777761982,
      1.4170249244969653,
      1.4315464601198293,
      1.4459073496846315,
      1.4601006481962804,
      1.474119617959125,
      1.4879577441100857,
      1.5016087502727051,
      1.5150667095815462,
      1.5283263079476337,
      1.541382545769154,
      1.5542306592275208,
      1.566866135730987,
      1.5792847268522672,
      1.591482367954075,
      1.6034552036721679,
      1.6151996940767384,
      1.6267126213942198,
      1.6379910955868375,
      1.6490325589258112,
      1.6598347885790852,
      1.6703958984771896,
      1.6807143399967244,
      1.6907889010069015,
      1.700618704102476,
      1.7102032033270653,
      1.7195421798172676,
      1.728635736550492,
      1.7374842922347402,
      1.7460885743344887,
      1.754449610471846,
      1.7625687195859139,
      1.7704475025619428,
      1.778087831438676,
      1.7854918387508882,
      1.792661905976254,
      1.7996006515378775,
      1.8063109183611945,
      1.8127957610922256,
      1.8190584332414985,
      1.8251023740653611,
      1.8309311948989846,
      1.836548666083948,
      1.8419587039071772,
      1.8471653566151225,
      1.8521727914700328,
      1.8569852817647892,
      1.861607193630907,
      1.8660429737982847,
      1.870297136974157,
      1.8743742539514519,
      1.8782789398785096,
      1.8820158431910952,
      1.885589634638856,
      1.8890049968053906,
      1.8922666139099473,
      1.8953791624923437,
      1.8983473026149036,
      1.901175681981029,
      1.903868974752741,
      1.9064318271524148,
      1.9088688250194534,
      1.9111844881758242,
      1.9133832650859228,
      1.9154695286553194,
      1.9174475717744033,
      1.9193216040075294,
      1.9210957477757835,
      1.9227740352788545,
      1.924360406179592,
      1.9258587053092429,
      1.9272726807187432,
      1.928605982450543,
      1.929862161081329,
      1.9310446667635859,
      1.93215684867845,
      1.9332019548620918,
      1.9341831320610843,
      1.935103425983044,
      1.9359657815964357,
      1.9367730440467408,
      1.9375279593321764,
      1.9382331752535313,
      1.938891242643775,
      1.9395046169334649,
      1.9400756596479893,
      1.9406066396879598,
      1.941099735259819,
      1.941557035746735,
      1.9419805438768056,
      1.9423721772741451,
      1.9427337709192074,
      1.9430670789922742,
      1.943373777117439,
      1.9436554647518165,
      1.9439136670068262,
      1.9441498372741468,
      1.9443653594334676,
      1.9445615499966389,
      1.9447396604408316,
      1.9449008792708289,
      1.9450463345204156,
      1.9451770955718786,
      1.945294175664402,
      1.9453985340208986,
      1.9454910778451018,
      1.9455726646441205,
      1.9456441039586243,
      1.9457061596680314,
      1.945759551748775,
      1.9458049579925736,
      1.9458430162921838,
      1.9458743262205844,
      1.9458994508675662,
      1.9459189183212902,
      1.9459332237078644,
      1.9459428304134703,
      1.945948171809144,
      1.9459496530185105,
      1.9459476519630925,
      1.9459425210566492,
      1.9459345882243289,
      1.9459241584143032,
      1.9459115149392254,
      1.9458969202892529,
      1.9458806177377581,
      1.9458628323136216,
      1.9458437714947463,
      1.94582362679105,
      1.9458025741811389,
      1.9457807754356364,
      1.9457583788507857,
      1.9457355199505963,
      1.9457123223600465,
      1.9456888984917184,
      1.9456653504523256,
      1.9456417707096838,
      1.9456182425701078,
      1.9455948408724377,
      1.9455716327959076,
      1.945548678170623,
      1.9455260297985535,
      1.9455037343439436,
      1.9454818326225454,
      1.945460360102292,
      1.9454393473611886,
      1.9454188201960068,
      1.9453988001448546,
      1.9453793050157013,
      1.9453603491660705,
      1.9453419434317811,
      1.945324095772575,
      1.9453068116167125,
      1.9452900938534543,
      1.945273942981507,
      1.9452583577695324,
      1.94524333505459,
      1.9452288701536724,
      1.9452149568704766,
      1.9452015878095468,
      1.9451887544886466,
      1.9451764473001962,
      1.9451646559828049,
      1.9451533694835559,
      1.9451425759737913,
      1.9451322633240362,
      1.94512241876536,
      1.9451130293655,
      1.9451040819457028,
      1.9450955629979219,
      1.9450874589078093,
      1.9450797562284843,
      1.9450724413947371,
      1.945065500742486,
      1.9450589208335465,
      1.945052688068187,
      1.9450467891113319,
      1.9450412109118453,
      1.945035940619554,
      1.945030965552829,
      1.9450262733184873,
      1.945021852032973,
      1.9450176896275089,
      1.9450137744756315,
      1.9450100956133338,
      1.9450066421445467,
      1.945003403358446,
      1.9450003689482123,
      1.9449975291276298,
      1.9449948741365035,
      1.9449923944580936,
      1.944990081290479,
      1.9449879260506564,
      1.9449859203868043,
      1.9449840563937217,
      1.9449823262681232,
      1.9449807225233198,
      1.9449792382033482,
      1.9449778663844497,
      1.9449766003883304,
      1.9449754340968977,
      1.9449743618593465,
      1.9449733779917602,
      1.9449724768360885,
      1.9449716534292159,
      1.9449709027474857,
      1.9449702200697507,
      1.9449696008316582,
      1.9449690408356104,
      1.9449685362567002,
      1.9449680832923275,
      1.9449676784218446,
      1.9449673183098617,
      1.9449669997093841,
      1.944966719466548,
      1.9449664750334839,
      1.9449662633534233,
      1.9449660819836425,
      1.9449659287431325,
      1.9449658012579394,
      1.9449656973206377,
      1.9449656150460288,
      1.944965552670394,
      1.9449655081980823,
      1.9449654800654115,
      1.9449654665836262,
      1.944965466449778,
      1.9449654785451962,
      1.9449655014285947,
      1.9449655340499779,
      1.9449655752945958,
      1.944965624137094,
      1.9449656797445154,
      1.944965741020003,
      1.9449658073162628,
      1.9449658781313703,
      1.9449659526517695,
      1.9449660303128855,
      1.944966110494801,
      1.9449661924213475,
      1.9449662753648083,
      1.9449663592062199,
      1.944966443723624,
      1.9449665285415483,
      1.944966613131537,
      1.944966697219684,
      1.9449667806854023,
      1.9449668634089976,
      1.9449669450175877,
      1.9449670253940565,
      1.9449671042706311,
      1.944967181432485,
      1.9449672567689396,
      1.9449673303245705,
      1.9449674019430143,
      1.94496747172498,
      1.9449675396212898,
      1.9449676056871157,
      1.9449676698277216,
      1.9449677319511265,
      1.9449677919682418,
      1.9449678499964198,
      1.944967906054164,
      1.9449679601627794,
      1.9449680122447075,
      1.9449680625303871,
      1.94496811094773,
      1.9449681576306863,
      1.9449682025123225,
      1.9449682455282755,
      1.944968286616858,
      1.9449683258208719,
      1.944968363694308,
      1.9449684003863346,
      1.944968435844333,
      1.9449684700174548,
      1.9449685028566932,
      1.9449685343149552,
      1.9449685643471275
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.524373786600117,
      11.36126946910747,
      11.186591844942267,
      11.001223644241461,
      10.805992078425017,
      10.601821706653935,
      10.38975960685867,
      10.17092379740877,
      9.946594460062421,
      9.718197240403507,
      9.487159317435621,
      9.254853026973368,
      9.02259844370155,
      8.791624899801034,
      8.562992986040188,
      8.33755564461918,
      8.115955382832306,
      7.898615861551583,
      7.685751407418596,
      7.477384107402415,
      7.2733655411820415,
      7.073403503671764,
      6.8770891370783716,
      6.6839250205027,
      6.493359016885322,
      6.304813450517485,
      6.117709649335274,
      5.931482398863639,
      5.745605733150858,
      5.559609088085339,
      5.373100665638134,
      5.185789946056194,
      4.997501578939594,
      4.808186123023242,
      4.61790988530206,
      4.426854555841223,
      4.235341116100922,
      4.043819157311796,
      3.8528370509941867,
      3.6630229191345944,
      3.4750716767939647,
      3.289717116496893,
      3.1077062185973916,
      2.9297722020896857,
      2.7566022741906435,
      2.588814865403232,
      2.4269431102018744,
      2.2714241041569405,
      2.122593812626105,
      1.980687279574722,
      1.8458430735884224,
      1.7181113413626656,
      1.597464501553007,
      1.483808658693643,
      1.3769944647993042,
      1.2768277400135042,
      1.1830795773614762,
      1.0954963762703973,
      1.0138071232709558,
      0.9377304478265657,
      0.8669806115441195,
      0.8012722012459927,
      0.7403239797652554,
      0.6838618594425546,
      0.6316211521844646,
      0.5833479021862866,
      0.5387996776832706,
      0.49774622575244715,
      0.45996980509014324,
      0.42526526779809865,
      0.3934404442369576,
      0.36431620653524976,
      0.33772529033420495,
      0.313512790601255,
      0.29153574370226243,
      0.27166148076500013,
      0.2537675756442746,
      0.2377394860812034,
      0.2234677893609195,
      0.21085093701532034,
      0.19979567507608523,
      0.19021738526762913,
      0.1820364380200344,
      0.1751776217377652,
      0.16957351005827823,
      0.1651640745290882,
      0.16189376393894028,
      0.15971006982984787,
      0.15856375382220803,
      0.1584062354525132,
      0.15918757341263196,
      0.16085082102289452,
      0.1633306763961089,
      0.16655719404991834,
      0.1704618252701639,
      0.1749823568434175,
      0.18006014958378927,
      0.18563846041574225,
      0.1916646949794451,
      0.19809378017991475,
      0.20488782307028996,
      0.2120154594626711,
      0.21945005028459214,
      0.22716892022260343,
      0.2351538409025832,
      0.24338963188289184,
      0.25186298056368356,
      0.2605622243966802,
      0.2694771575373681,
      0.27859850448960805,
      0.2879176008464556,
      0.2974264098069799,
      0.3071175886183001,
      0.31698482904619907,
      0.32702269877274115,
      0.3372265099238617,
      0.3475934598643628,
      0.35812184587559165,
      0.36880914013645266,
      0.37965275776829926,
      0.3906504286249451,
      0.40180015036063677,
      0.4131001466518918,
      0.42454882941336947,
      0.43614476462689916,
      0.44788663350625885,
      0.4597732068572189,
      0.4718033282357499,
      0.48397547691797077,
      0.4962870307164781,
      0.508735277530927,
      0.5213176542074899,
      0.5340317131589886,
      0.5468750920073181,
      0.5598454866812992,
      0.5729406679374517,
      0.5861590890893018,
      0.5994996580504586,
      0.612961136005065,
      0.6265421338874676,
      0.6402411089708295,
      0.6540563613358739,
      0.6679860302955057,
      0.6820280910330933,
      0.6961799818673767,
      0.7104375692332812,
      0.7247963791600178,
      0.7392519621703751,
      0.7537999885214701,
      0.7684365784572701,
      0.7831584203566088,
      0.7979628986048012,
      0.8128472500472446,
      0.8278084458745014,
      0.8428432005966252,
      0.8579479802696299,
      0.8731189579485432,
      0.888351933298715,
      0.9036429985704111,
      0.9189881361914453,
      0.9343833557507626,
      0.9498247294743931,
      0.9653080912126502,
      0.9808294854135702,
      0.9963849721900117,
      1.0119704307687083,
      1.0275817009762398,
      1.0432146175205514,
      1.058864232241029,
      1.0745252005069301,
      1.0901918557007808,
      1.105858070514879,
      1.1215174699668968,
      1.137163505247592,
      1.1527894695030718,
      1.1683885138878447,
      1.1839536631142606,
      1.1994778323107946,
      1.2149538432289442,
      1.2303744406274895,
      1.2457323091438512,
      1.2610200906994982,
      1.2762304013575385,
      1.2913558489307653,
      1.3063890505429407,
      1.3213226496917965,
      1.3361493343356818,
      1.3508618542090607,
      1.3654530382581798,
      1.3799158120094037,
      1.3942432148768433,
      1.4084284166946055,
      1.4224647341735341,
      1.4363456472112706,
      1.4500648141119505,
      1.4636160869513768,
      1.4769935257229663,
      1.4901914124879154,
      1.5032043821052132,
      1.5160276360526737,
      1.5286566541366924,
      1.5410871299565212,
      1.553314984661499,
      1.5653363595155236,
      1.5771475391518572,
      1.5887450328809432,
      1.600125636859334,
      1.6112864399410731,
      1.6222248284441791,
      1.6329384902883155,
      1.643425417233737,
      1.653683906346182,
      1.6637125606469902,
      1.6735102880480701,
      1.6830762994568513,
      1.6924101063317427,
      1.701511516448707,
      1.7103806291379946,
      1.7190178299849288,
      1.727423784231716,
      1.7355994297516917,
      1.7435459685916075,
      1.7512648589831392,
      1.7587578054584858,
      1.7660267494920951,
      1.7730738596882634,
      1.779901520387294,
      1.7865123209765232,
      1.792909044534843,
      1.7990946563768664,
      1.8050722924569684,
      1.810845247292184,
      1.8164169623380746,
      1.8217910136698567,
      1.8269711002651237,
      1.831961032356534,
      1.8367647198836272,
      1.8413861606687127,
      1.845829429113312,
      1.850098665246139,
      1.854198063903904,
      1.8581318642846698,
      1.8619043400123596,
      1.865519788884351,
      1.8689825238657223,
      1.8722968638912658,
      1.8754671252241812,
      1.8784976131528246,
      1.8813926350667167,
      1.8841565318612365,
      1.8867936137525734,
      1.8893081390699464,
      1.8917043095360615,
      1.8939862653816153,
      1.8961580812889527,
      1.8982237627333707,
      1.9001872421881807,
      1.9020523758789847,
      1.9038229411604741,
      1.9055026339271506,
      1.907095066280805,
      1.9086037648299057,
      1.9100321691296096,
      1.911383630176374,
      1.9126614097354648,
      1.9138686793955355,
      1.915008520380456,
      1.916083923061269,
      1.9170977869924823,
      1.9180529210757706,
      1.9189520442147217,
      1.9197977857564659,
      1.920592686184491,
      1.9213391980176762,
      1.9220396869716183,
      1.9226964331831269,
      1.9233116323999235,
      1.9238873973418735,
      1.9244257593389902,
      1.9249286700944972,
      1.9253980032700222,
      1.925835555944545,
      1.9262430505588302,
      1.9266221371419072,
      1.9269743948529392,
      1.9273013337540852,
      1.9276043971698922,
      1.9278849631067816,
      1.928144346867487,
      1.9283838025705893,
      1.9286045250997312,
      1.9288076523795379,
      1.9289942670608888,
      1.9291653986820125,
      1.929322025387844,
      1.9294650757658647,
      1.9295954308978975,
      1.9297139259648894,
      1.9298213524705712,
      1.9299184594036158,
      1.9300059553710227,
      1.9300845104798672,
      1.930154757456429,
      1.9302172934254662,
      1.9302726815336473,
      1.9303214524153836,
      1.9303641060075807,
      1.9304011125919667,
      1.9304329140814442,
      1.9304599257005814,
      1.9304825373466514,
      1.930501114527447,
      1.930515999485056,
      1.9305275125547943,
      1.9305359532999238,
      1.930541601573259,
      1.9305447186056963,
      1.9305455481712528,
      1.930544316759047,
      1.9305412354981604,
      1.9305365004763617,
      1.9305302935878694,
      1.9305227835536538,
      1.930514126349386,
      1.9305044663120963,
      1.9304939365510798,
      1.9304826598828257,
      1.9304707492206648,
      1.9304583083851017,
      1.9304454324688447,
      1.9304322085191814,
      1.9304187160280017,
      1.9304050274831246,
      1.930391208573347,
      1.9303773191655078,
      1.9303634128153044,
      1.9303495381170477,
      1.9303357385350406,
      1.9303220531571388,
      1.930308516691807,
      1.930295159827027,
      1.930282009594662,
      1.9302690894351082,
      1.9302564197242553,
      1.930244018152409,
      1.9302318995471526,
      1.9302200761073283,
      1.9302085581998651,
      1.93019735409131,
      1.9301864699872329,
      1.930175910328867,
      1.9301656781939602,
      1.9301557752924554,
      1.930146202015059,
      1.9301369574327683,
      1.9301280397049763,
      1.930119446031277,
      1.9301111729095741,
      1.930103216090064,
      1.930095570479577,
      1.9300882307078644,
      1.9300811904740112,
      1.930074443419573,
      1.9300679828324576,
      1.930061801706859,
      1.9300558929055986,
      1.9300502490174856,
      1.930044862316547,
      1.9300397251288468,
      1.9300348297921235,
      1.9300301686155634,
      1.9300257339921714,
      1.9300215181040108,
      1.9300175129331805,
      1.930013711137238,
      1.9300101051949528,
      1.9300066875183608,
      1.9300034506156918,
      1.930000387305312,
      1.9299974903694919,
      1.9299947530221016,
      1.92999216846044,
      1.9299897300777569,
      1.9299874311674567,
      1.929985265389999,
      1.9299832269341917,
      1.9299813099657674,
      1.9299795086354623,
      1.9299778173923188,
      1.9299762310928188,
      1.9299747442962056,
      1.9299733517805224,
      1.9299720490582497,
      1.9299708314671893,
      1.9299696943803764,
      1.9299686336699964,
      1.9299676453063659,
      1.9299667253634727,
      1.929965869922631,
      1.9299650753322106,
      1.9299643383143885,
      1.9299636556644282,
      1.92996302395013,
      1.929962440279246,
      1.929961901693352,
      1.9299614056803789,
      1.9299609494661225,
      1.9299605306792142,
      1.9299601473543218,
      1.9299597968161266,
      1.9299594771069049,
      1.929959186124767,
      1.929958921982425,
      1.929958682959027,
      1.9299584674008166,
      1.929958273621606,
      1.9299580999560884,
      1.9299579450163868,
      1.92995780749045,
      1.9299576860422167,
      1.929957579567761,
      1.929957486891673,
      1.9299574067686216,
      1.9299573383936524,
      1.9299572808439476,
      1.9299572330800239,
      1.929957194303169,
      1.9299571639566013,
      1.929957141319308,
      1.9299571256088108,
      1.9299571160330673,
      1.9299571118932826,
      1.9299571126865802,
      1.9299571178015906,
      1.9299571267227038,
      1.9299571393358914,
      1.929957155318583,
      1.9299571740385084,
      1.9299571953681085,
      1.9299572188711371,
      1.9299572443117312,
      1.9299572714513962,
      1.929957299845856,
      1.9299573292525136,
      1.929957359529089,
      1.9299573904304193,
      1.9299574217104614,
      1.9299574532243582,
      1.9299574849286494,
      1.929957516779612,
      1.929957548733321,
      1.9299575807457094,
      1.9299576125692082,
      1.9299576440582107,
      1.9299576751692908,
      1.9299577058595436,
      1.929957736086645,
      1.9299577658089087,
      1.9299577949853455,
      1.9299578235757187,
      1.9299578515405995,
      1.929957878841422,
      1.929957905440536,
      1.9299579314538353,
      1.9299579567945828,
      1.9299579813261176,
      1.92995800521803,
      1.9299580285390905,
      1.9299580512571373,
      1.9299580731374189,
      1.929958094048041,
      1.9299581141635873,
      1.9299581335580365,
      1.9299581522046416,
      1.9299581700776876,
      1.9299581871525258,
      1.9299582034056084,
      1.9299582188145212,
      1.9299582334597392,
      1.929958247524475,
      1.9299582609893378,
      1.9299582738357586,
      1.929958286046021,
      1.9299582976032856,
      1.9299583084916145,
      1.9299583186959914,
      1.9299583283040689
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.524343603189472,
      11.361130845559174,
      11.186286920986412,
      11.000709268314525,
      10.805239427615593,
      10.600818622973328,
      10.388505901890964,
      10.169436645837415,
      9.94491631135843,
      9.716378361863084,
      9.485251341276284,
      9.252910362183927,
      9.02068234357293,
      8.78979955101432,
      8.561314376255494,
      8.336075111963295,
      8.114717165297533,
      7.897658186377926,
      7.685109173636846,
      7.477089357040619,
      7.273448051692085,
      7.073891423419629,
      6.878009727711285,
      6.685305533866046,
      6.495227365816593,
      6.307198622516877,
      6.120642194741237,
      5.9349946945662255,
      5.749732035127537,
      5.564385820646171,
      5.37856414317301,
      5.1919755053470515,
      5.0044425303111915,
      4.815912572064112,
      4.626451382932397,
      4.436237141834502,
      4.245582914855874,
      4.0549312889812565,
      3.8648288972638714,
      3.675897005663574,
      3.4888225128262174,
      3.3043320225226194,
      3.12316625404782,
      2.946053926646416,
      2.7736796895395095,
      2.6066612640878315,
      2.4455328696289094,
      2.2907343530977284,
      2.142605850109462,
      2.001387656514954,
      1.8672243553830676,
      1.740172556396466,
      1.6202115776672508,
      1.5072543247238581,
      1.401157999176948,
      1.301734551667552,
      1.208760878072478,
      1.121988696611535,
      1.041151822272646,
      0.9659732641184299,
      0.8961713643014029,
      0.8314644093558523,
      0.7715745358340711,
      0.7162307609471696,
      0.6651709232697266,
      0.6181435389039289,
      0.5749087817536869,
      0.5352389450324208,
      0.4989187676107474,
      0.46574554711940025,
      0.43552970715162637,
      0.408094898395075,
      0.38327798095592835,
      0.36092789755319726,
      0.3409061371633807,
      0.3230847390755157,
      0.3073410125748859,
      0.29356077256962815,
      0.28163917918730286,
      0.2714800095077271,
      0.2629921273548075,
      0.25609004551530756,
      0.2506964064537488,
      0.24673913688971869,
      0.2441470411291188,
      0.2428452631912002,
      0.2427490403194787,
      0.24376376610039122,
      0.24578642828670488,
      0.24871831059611435,
      0.2524690117811412,
      0.2569471335276312,
      0.2620712234159194,
      0.26777413686677953,
      0.2739990057460657,
      0.2806967599997554,
      0.28782674644035894,
      0.2953537562936516,
      0.3032466930384734,
      0.31147809523870235,
      0.32002365325819165,
      0.328861388601928,
      0.33797159883261674,
      0.3473370051351391,
      0.356942244353357,
      0.36677430410496026,
      0.3768236230820389,
      0.38708195959127234,
      0.3975408193178377,
      0.4081921524760012,
      0.4190288303577433,
      0.43004452695553086,
      0.4412336139541656,
      0.4525910648942663,
      0.4641123639066802,
      0.47579344095825626,
      0.48762986876597997,
      0.4996166144168953,
      0.5117489899374053,
      0.5240226885746329,
      0.5364337251006779,
      0.5489783820878471,
      0.5616531622663523,
      0.5744547462632305,
      0.58738002856629,
      0.6004267000046186,
      0.613592911238601,
      0.6268767397283579,
      0.6402761787677536,
      0.6537891275410129,
      0.667413382145735,
      0.6811466270521956,
      0.6949861133632682,
      0.7089276240911531,
      0.7229665412551876,
      0.7370983116100334,
      0.7513186001873566,
      0.7656235181324259,
      0.7800092070302734,
      0.7944724026853172,
      0.8090104385878477,
      0.8236204382996581,
      0.8382992842335768,
      0.853043271943175,
      0.8678480841786069,
      0.8827092343863677,
      0.8976223334274607,
      0.912583635112845,
      0.9275894226525462,
      0.9426361255332238,
      0.9577199956155862,
      0.9728370187885528,
      0.9879834318410505,
      1.0031557297832525,
      1.0183501022723827,
      1.0335623448296007,
      1.0487875297997713,
      1.0640205059706802,
      1.0792559908887533,
      1.094488482434329,
      1.1097122767362926,
      1.1249214857132506,
      1.1401100541451679,
      1.1552717765779197,
      1.1704003142536041,
      1.1854892116914983,
      1.2005319131471954,
      1.2155217793716955,
      1.2304521040666276,
      1.2453161302878424,
      1.260107067344965,
      1.2748181073632971,
      1.2894424416811814,
      1.3039732770438262,
      1.3184038525621729,
      1.3327274557517468,
      1.3469374388053124,
      1.3610272347183268,
      1.3749903727249935,
      1.3888204943759097,
      1.4025113681728705,
      1.4160569048389815,
      1.4294511712771083,
      1.4426884042638153,
      1.45576302415666,
      1.468669647361722,
      1.4814030984392859,
      1.4939586055251413,
      1.5063318929709415,
      1.5185189070358296,
      1.5305157900339175,
      1.5423188924502995,
      1.5539247203999262,
      1.5653299157397333,
      1.5765313621417716,
      1.5875262049039573,
      1.598311856277949,
      1.6088859994969504,
      1.6192465921764505,
      1.6293918680854087,
      1.6393203380689862,
      1.6490307899415293,
      1.6585222879865553,
      1.6677941711790545,
      1.67684605006421,
      1.685677803045679,
      1.6942895724857052,
      1.7026817594478756,
      1.7108550173938373,
      1.718810246066637,
      1.726548584051688,
      1.7340714012078504,
      1.7413802901826494,
      1.7484770577565396,
      1.7553637156473918,
      1.7620424712755989,
      1.7685157174687578,
      1.7747860226325565,
      1.7808561204262283,
      1.7867288994088122,
      1.7924073925152502,
      1.7978947661233178,
      1.8031943097467902,
      1.8083094254088865,
      1.8132436170239816,
      1.8180004800161633,
      1.8225836909979325,
      1.8269969977912197,
      1.8312442096169512,
      1.8353291874322535,
      1.8392558345483296,
      1.8430280874587401,
      1.846649906859041,
      1.8501252697547241,
      1.853458160908676,
      1.856652565236828,
      1.8597124603691906,
      1.8626418423643645,
      1.8654447365036395,
      1.8681251362751552,
      1.8706869899368466,
      1.8731341966091442,
      1.8754706020043592,
      1.8776999942247943,
      1.8798261004170012,
      1.8818525835419246,
      1.8837830392825228,
      1.8856209937199475,
      1.8873699009837295,
      1.8890331407414145,
      1.8906140166643306,
      1.8921157554780783,
      1.8935415048832005,
      1.8948943330051244,
      1.8961772275039592,
      1.8973930948138613,
      1.898544760133397,
      1.899634967057527,
      1.9006663777251807,
      1.9016415732360574,
      1.9025630535813964,
      1.903433238620998,
      1.9042544685869291,
      1.9050290051361345,
      1.9057590320917632,
      1.906446656437127,
      1.9070939096166137,
      1.907702748841071,
      1.9082750581969605,
      1.9088126504260108,
      1.9093172681050012,
      1.9097905851429633,
      1.91023420874914,
      1.9106496804987825,
      1.9110384784302072,
      1.9114020184945382,
      1.9117416565275924,
      1.9120586897264096,
      1.9123543581891982,
      1.912629846925173,
      1.9128862875193944,
      1.9131247599091254,
      1.9133462940671218,
      1.9135518714890525,
      1.9137424269415009,
      1.9139188503674536,
      1.9140819881843563,
      1.9142326451438822,
      1.9143715858864345,
      1.9144995365450634,
      1.91461718599049,
      1.9147251875292581,
      1.9148241601381109,
      1.9149146902499417,
      1.9149973326659644,
      1.9150726121181059,
      1.9151410247682874,
      1.9152030392864434,
      1.9152590981675386,
      1.91530961872623,
      1.9153549945818227,
      1.915395596614559,
      1.9154317737989546,
      1.9154638542690474,
      1.9154921470210942,
      1.9155169419632807,
      1.9155385113122647,
      1.915557110403093,
      1.915572978520975,
      1.915586339855975,
      1.9155974043251325,
      1.9156063680064912,
      1.9156134143031638,
      1.9156187142089731,
      1.9156224272515445,
      1.9156247022470898,
      1.9156256774082063,
      1.9156254815337455,
      1.9156242339398393,
      1.9156220455220592,
      1.9156190192185611,
      1.9156152501280481,
      1.9156108261971982,
      1.915605828714228,
      1.915600332557131,
      1.9155944068571749,
      1.9155881147037785,
      1.9155815143321628,
      1.9155746589953413,
      1.9155675974020083,
      1.9155603741096636,
      1.9155530296688699,
      1.915545600874689,
      1.9155381207686826,
      1.9155306196630726,
      1.9155231248464002,
      1.9155156606997934,
      1.915508248969722,
      1.9155009089427177,
      1.9154936579791513,
      1.9154865112360193,
      1.9154794820536523,
      1.9154725818872178,
      1.9154658205457726,
      1.915459206687928,
      1.9154527474542584,
      1.9154464486105258,
      1.9154403149468282,
      1.9154343500678452,
      1.9154285567441884,
      1.9154229368577245,
      1.915417491500896,
      1.9154122212803815,
      1.915407125858589,
      1.9154022042592882,
      1.9153974554791888,
      1.9153928780823835,
      1.9153884698463226,
      1.915384228375009,
      1.9153801509496722,
      1.915376234379718,
      1.915372475413856,
      1.9153688705918765,
      1.9153654163000744,
      1.9153621087760537,
      1.9153589442154297,
      1.9153559186242988,
      1.9153530278245763,
      1.9153502678154812,
      1.9153476345754208,
      1.9153451240164607,
      1.9153427321932819,
      1.9153404550539699,
      1.9153382884963575,
      1.9153362285259723,
      1.9153342712105392,
      1.9153324127359266,
      1.9153306490553668,
      1.9153289767083987,
      1.9153273917575482,
      1.9153258906072146,
      1.9153244698050491,
      1.915323126046463,
      1.9153218558739393,
      1.915320656190108,
      1.9153195239059522,
      1.915318455944803,
      1.9153174491956384,
      1.9153165008222528,
      1.9153156079111637,
      1.915314767933035,
      1.9153139784918887,
      1.915313237022983,
      1.915312541050608,
      1.9153118883947438,
      1.9153112767671614,
      1.9153107040794686,
      1.9153101682425948,
      1.915309667423756,
      1.9153091996420146,
      1.9153087629743795,
      1.9153083557617865,
      1.9153079765096404,
      1.9153076236861704,
      1.9153072956229031,
      1.9153069908220275,
      1.9153067080600257,
      1.9153064461858498,
      1.915306203817373,
      1.915305979546643,
      1.915305772246856,
      1.9153055812772564,
      1.9153054054669398,
      1.915305243828281,
      1.9153050954566333,
      1.9153049594297815,
      1.9153048350125406,
      1.9153047214034897,
      1.9153046179394682,
      1.9153045241981457,
      1.9153044395917482,
      1.9153043633169633,
      1.9153042947119978,
      1.915304233257472,
      1.9153041784245304,
      1.915304129777286,
      1.9153040867190607,
      1.9153040487983195,
      1.9153040155567302,
      1.9153039864789545,
      1.9153039615017702,
      1.9153039402005902,
      1.9153039222984767,
      1.915303907564878,
      1.915303895714187,
      1.9153038863043945,
      1.9153038792462722,
      1.9153038746508535,
      1.9153038722190967,
      1.9153038718525048,
      1.9153038733989756,
      1.91530387624626,
      1.9153038802379465,
      1.9153038853687456,
      1.915303891428408,
      1.9153038980020813,
      1.9153039050810436,
      1.9153039126559144,
      1.915303920716656,
      1.915303929252587,
      1.9153039382015338,
      1.9153039473482378,
      1.9153039566296992,
      1.9153039660336189,
      1.9153039755475356,
      1.9153039851588423,
      1.9153039948548025,
      1.9153040046225684,
      1.9153040144491964,
      1.9153040243216648,
      1.9153040342268917,
      1.9153040441517513,
      1.9153040540830921,
      1.9153040640077539,
      1.9153040739125853,
      1.915304083784461,
      1.9153040936102999,
      1.9153041033770815,
      1.9153041130718635,
      1.9153041226817993,
      1.9153041321941546,
      1.9153041415963243,
      1.9153041508758495,
      1.9153041600204337,
      1.915304169017959,
      1.915304177856503,
      1.9153041865243532,
      1.915304195010024,
      1.9153042033022707,
      1.915304211390105,
      1.9153042192628098,
      1.9153042269099525,
      1.9153042343214,
      1.915304241487331,
      1.9153042482965246,
      1.9153042547400028,
      1.9153042609109074
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.524317562743509,
      11.361008920386206,
      11.186017199995838,
      11.000254068287578,
      10.804575299945492,
      10.599938044068487,
      10.387416085834932,
      10.168161767602065,
      9.943500102441163,
      9.714871248015433,
      9.48370490891187,
      9.251379245409597,
      9.019229086571599,
      8.788485184728916,
      8.560192075402487,
      8.33519313367407,
      8.11411671951935,
      7.897376251744546,
      7.685179818284332,
      7.477544247744138,
      7.274317033676925,
      7.07520317413849,
      6.879792530299292,
      6.687588031264228,
      6.498039116369608,
      6.3105704130065625,
      6.124606498964783,
      5.939585901850712,
      5.7549862173676996,
      5.570340895994051,
      5.3852574735257726,
      5.199442892853272,
      5.012717040103264,
      4.825023241532262,
      4.63642540621246,
      4.4470971808098,
      4.257342335253435,
      4.067593653637462,
      3.878394386623004,
      3.690359750966585,
      3.5041680997891222,
      3.3205385294242453,
      3.1402052516957983,
      2.963892560009368,
      2.792282911357192,
      2.6259938629226274,
      2.4655614056497344,
      2.311428885226038,
      2.1639414341741725,
      2.023345439682657,
      1.8897923374498282,
      1.7633460742989187,
      1.643993548131861,
      1.5316549775952555,
      1.426194553085045,
      1.3274307423745244,
      1.2351465245928603,
      1.1490991229176148,
      1.0690273426406585,
      0.9946586941449896,
      0.9257155053620256,
      0.861919747867111,
      0.802996994591174,
      0.7486793584002465,
      0.6987074813290259,
      0.6528322094681767,
      0.6108159466694333,
      0.5724332413952838,
      0.5374710316938276,
      0.5057287901644049,
      0.47701956762462633,
      0.4511710838507801,
      0.4280256400984396,
      0.4074396421427007,
      0.38927744493740335,
      0.3734084712593362,
      0.3597130846641569,
      0.34808194633798706,
      0.3384097516325358,
      0.33059599585574584,
      0.3245474016482103,
      0.3201743927680074,
      0.3173789864694556,
      0.31604839139324914,
      0.3160572361875579,
      0.3172711881860138,
      0.3195620141117745,
      0.3228055477597882,
      0.3268917878118997,
      0.3317287917202459,
      0.337239982583422,
      0.3433616901912718,
      0.3500385876938025,
      0.3572215393252393,
      0.3648663157100051,
      0.3729327661406884,
      0.3813854311410915,
      0.39019312251099403,
      0.39932871141685106,
      0.40877041285601307,
      0.4184997406581389,
      0.4284997454981065,
      0.4387538354834574,
      0.44924697137425335,
      0.45996581339204845,
      0.47089850688838397,
      0.4820344873077892,
      0.4933633715000153,
      0.5048749423489471,
      0.5165600293043555,
      0.5284103732154584,
      0.5404185040410137,
      0.5525776327764972,
      0.5648815557445573,
      0.577324569903721,
      0.5899013977471008,
      0.6026071691541578,
      0.6154379869139214,
      0.628390638094481,
      0.6414619810471919,
      0.6546489190435009,
      0.6679483767606637,
      0.6813572789267759,
      0.6948722512607729,
      0.7084885793363975,
      0.7222011688784329,
      0.7360050700955364,
      0.749895796183085,
      0.7638692436897426,
      0.7779213042602664,
      0.7920478979919484,
      0.8062456797533423,
      0.8205114808384031,
      0.8348415048693905,
      0.8492317688464852,
      0.8636781612549805,
      0.8781764408582724,
      0.8927222362401492,
      0.9073112297717009,
      0.921939760196089,
      0.9366045168772807,
      0.951302144161897,
      0.9660290061134119,
      0.9807813904387315,
      0.9955558844683421,
      1.0103490754978732,
      1.0251570253497764,
      1.0399750783958537,
      1.0547979133905971,
      1.0696201018805933,
      1.0844365258206892,
      1.0992421054364752,
      1.1140315655535225,
      1.1287994542821451,
      1.1435401610660563,
      1.1582479347002401,
      1.1729169003335236,
      1.187541076547804,
      1.2021143921234227,
      1.2166307021926177,
      1.2310838048482693,
      1.2454674569777933,
      1.2597753905759836,
      1.2740013278825912,
      1.2881389978017972,
      1.3021821510173277,
      1.3161245752773314,
      1.3299601110430201,
      1.3436826661110333,
      1.3572862299979265,
      1.3707648882573649,
      1.3841128371985443,
      1.3973243968230475,
      1.4103940243168205,
      1.4233163267151836,
      1.436086073285979,
      1.4486982072043875,
      1.4611478565459732,
      1.4734303448749873,
      1.4855414491036636,
      1.4974773742595846,
      1.5092344941385147,
      1.5208093624279246,
      1.5321987102942376,
      1.5433993707964406,
      1.5544083387370564,
      1.5652228428548873,
      1.5758403512525467,
      1.5862585755402916,
      1.59647547448044,
      1.6064892564947308,
      1.6162983810099254,
      1.6259015590777035,
      1.6352977533522413,
      1.6444861771056438,
      1.6534662919653507,
      1.662237805435091,
      1.6708006675871314,
      1.6791550670806095,
      1.6873014261060997,
      1.6952403950312023,
      1.7029728466108576,
      1.7104998692748745,
      1.7178227603321872,
      1.724943018358932,
      1.731862335059539,
      1.7385825876060783,
      1.7451058295658883,
      1.75143428265161,
      1.7575703271062333,
      1.7635164929134757,
      1.76927545026333,
      1.7748500002994452,
      1.7802430656011834,
      1.78545768072024,
      1.790496982382253,
      1.7953642007458324,
      1.8000626494510998,
      1.8045957171759368,
      1.8089668582314744,
      1.8131795836968783,
      1.8172374527633672,
      1.821144064619282,
      1.8249030503943142,
      1.8285180647837618,
      1.831992778956972,
      1.8353308730483913,
      1.8385360292247843,
      1.841611924847597,
      1.844562265935863,
      1.8473907856902794,
      1.8501011864919938,
      1.8526971312816145,
      1.85518223954635,
      1.857560083817772,
      1.8598341861938275,
      1.8620080149066613,
      1.8640849814143698,
      1.8660684378838788,
      1.8679616746762724,
      1.869767918513325,
      1.8714903301720864,
      1.873132002689108,
      1.874695959886464,
      1.876185155690443,
      1.8776024730856375,
      1.878950722869182,
      1.88023264323326,
      1.8814508993218655,
      1.8826080830761973,
      1.8837067131230578,
      1.8847492349174912,
      1.8857380208927732,
      1.8866753710818467,
      1.8875635135549567,
      1.8884046047802947,
      1.889200730828496,
      1.8899539079495613,
      1.8906660834923947,
      1.8913391370178312,
      1.8919748813028034,
      1.8925750639498211,
      1.8931413682811646,
      1.8936754144859727,
      1.8941787612253604,
      1.8946529070349472,
      1.8950992916271456,
      1.895519297399209,
      1.8959142509435127,
      1.896285424458607,
      1.8966340374166746,
      1.8969612577752688,
      1.897268203648216,
      1.8975559447741548,
      1.8978255040358194,
      1.898077859080644,
      1.8983139434310372,
      1.8985346484567118,
      1.8987408245295898,
      1.8989332826823733,
      1.8991127954982827,
      1.8992800989600513,
      1.8994358938330789,
      1.8995808468348878,
      1.8997155918449562,
      1.8998407316615284,
      1.8999568385243324,
      1.900064455792414,
      1.9001640991482538,
      1.900256257631727,
      1.900341394706583,
      1.9004199495613385,
      1.9004923381855785,
      1.9005589540171,
      1.900620169328614,
      1.9006763358779368,
      1.9007277861428484,
      1.9007748339188086,
      1.900817775245038,
      1.9008568897594034,
      1.900892440599329,
      1.9009246757469016,
      1.9009538288846173,
      1.9009801200657448,
      1.9010037558421549,
      1.9010249306298217,
      1.9010438267674006,
      1.9010606156578362,
      1.901075458161153,
      1.9010885048478414,
      1.901099896773841,
      1.9011097659624643,
      1.901118235999521,
      1.9011254224354883,
      1.9011314332490563,
      1.9011363690656817,
      1.9011403238432931,
      1.9011433853123625,
      1.9011456348133622,
      1.9011471483120506,
      1.9011479963028861,
      1.901148244329634,
      1.9011479531561755,
      1.9011471789943182,
      1.9011459737883127,
      1.901144385962363,
      1.9011424599523103,
      1.901140236810014,
      1.901137754405469,
      1.9011350474803876,
      1.9011321480107057,
      1.901129085369365,
      1.9011258863906666,
      1.9011225757429353,
      1.9011191758462158,
      1.9011157067930518,
      1.9011121872890437,
      1.9011086342730847,
      1.9011050628958295,
      1.9011014866530005,
      1.9010979182326844,
      1.901094368532984,
      1.9010908471058288,
      1.9010873625517426,
      1.9010839228647993,
      1.9010805347613942,
      1.901077204078508,
      1.9010739359697275,
      1.9010707348478273,
      1.9010676045317334,
      1.901064548139953,
      1.9010615679849154,
      1.901058666129413,
      1.9010558440280012,
      1.901053102830346,
      1.901050443379689,
      1.9010478661100636,
      1.901045371147511,
      1.9010429585133375,
      1.9010406276663352,
      1.9010383776052526,
      1.9010362074294085,
      1.9010341162381956,
      1.901032102877958,
      1.9010301660451057,
      1.9010283042369764,
      1.9010265160588604,
      1.9010247997172633,
      1.9010231533272035,
      1.9010215753215933,
      1.9010200642497677,
      1.9010186181690223,
      1.9010172350539603,
      1.9010159130025048,
      1.9010146500348852,
      1.9010134440961566,
      1.901012293363964,
      1.9010111960474214,
      1.9010101503893917,
      1.9010091545670345,
      1.901008206643236,
      1.9010073050776475,
      1.901006448118341,
      1.901005633804115,
      1.9010048604246343,
      1.901004126268353,
      1.9010034298280887,
      1.9010027695995322,
      1.9010021441849525,
      1.901001552142252,
      1.9010009918851785,
      1.9010004618887506,
      1.9009999606912094,
      1.9009994869975815,
      1.9009990396813479,
      1.900998617582422,
      1.900998219610318,
      1.9009978442370736,
      1.9009974905161993,
      1.9009971574736861,
      1.9009968441092244,
      1.9009965496008834,
      1.9009962728992984,
      1.9009960129325008,
      1.9009957690140413,
      1.900995540335378,
      1.9009953260685382,
      1.900995125367269,
      1.9009949375714459,
      1.9009947619028011,
      1.9009945975676987,
      1.9009944439614757,
      1.9009943004658094,
      1.900994166551273,
      1.900994041777922,
      1.9009939253890884,
      1.9009938171259613,
      1.9009937165159747,
      1.9009936228734194,
      1.9009935360122516,
      1.9009934556361348,
      1.9009933811352957,
      1.9009933118925195,
      1.9009932477924694,
      1.9009931885606726,
      1.9009931337639459,
      1.9009930832176904,
      1.900993036681065,
      1.9009929940098256,
      1.9009929549531177,
      1.9009929191537585,
      1.9009928862504588,
      1.9009928562850653,
      1.9009928290922748,
      1.9009928044015367,
      1.9009927821425414,
      1.9009927623436051,
      1.900992744623068,
      1.9009927288000334,
      1.9009927147929049,
      1.9009927024160889,
      1.9009926914819013,
      1.9009926820042307,
      1.9009926738934408,
      1.9009926669564208,
      1.9009926611002756,
      1.9009926563324553,
      1.9009926526590248,
      1.9009926498812342,
      1.900992647900897,
      1.9009926466188072,
      1.9009926456297919,
      1.9009926448333516,
      1.9009926442304996,
      1.9009926438220028,
      1.9009926436083808,
      1.9009926435899054,
      1.9009926437666,
      1.9009926441382399,
      1.9009926447043524,
      1.9009926454642172,
      1.9009926464168676,
      1.9009926475610919,
      1.9009926488954343,
      1.9009926504181973,
      1.900992652127444,
      1.9009926540209998,
      1.9009926560964558,
      1.900992658351172,
      1.9009926607822798,
      1.9009926633866865,
      1.9009926661610792,
      1.9009926691019283,
      1.9009926722054926,
      1.900992675467824,
      1.9009926788847722,
      1.9009926824519905,
      1.900992686164941,
      1.9009926900189003,
      1.9009926938055148,
      1.9009926971131423,
      1.9009926999884266,
      1.900992702631112,
      1.9009927050887154,
      1.9009927073581105,
      1.900992709487273,
      1.900992711575187
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360964251584758,
      11.18587875899232,
      10.999986605919352,
      10.804157795306656,
      10.599365064865713,
      10.386696962503047,
      10.167321355201313,
      9.942578931180764,
      9.713916720653287,
      9.482765122917888,
      9.25050716453735,
      9.01848390236677,
      8.787921903011137,
      8.559859917358098,
      8.3351357607536,
      8.114371546164826,
      7.897978110252539,
      7.686161294323141,
      7.478936199355458,
      7.276149086410384,
      7.077504454686939,
      6.882592353796929,
      6.6909165149763625,
      6.501927577438298,
      6.3150515565357175,
      6.129714832760883,
      5.945357923732411,
      5.761459268072538,
      5.5775538556439574,
      5.393248799233265,
      5.208248855473464,
      5.02237042958325,
      4.835551976816704,
      4.64785442782082,
      4.459446205657074,
      4.27062010870749,
      4.081798059139692,
      3.893516632676998,
      3.7063859138251987,
      3.5210751987491236,
      3.338295766727008,
      3.158775080882435,
      2.98323307471729,
      2.8123503592387737,
      2.646744846161735,
      2.486954949678546,
      2.3334282560560045,
      2.1865156627582727,
      2.0464704693977733,
      1.9134517369552764,
      1.7875314778445988,
      1.6687048216506195,
      1.556899868422366,
      1.4519882431729387,
      1.35379529841419,
      1.262110360732644,
      1.1766963398467916,
      1.097297148306324,
      1.023644892601992,
      0.9554659031784589,
      0.8924857068260048,
      0.8344331698670292,
      0.7810432814773695,
      0.7320592724924003,
      0.687234311602641,
      0.6463327270068562,
      0.6091309844943031,
      0.575417963030295,
      0.5449952791471409,
      0.5176811400163194,
      0.493311504967732,
      0.4717345449941999,
      0.4528058694796125,
      0.43638830583367033,
      0.42235617615153237,
      0.41059015208713595,
      0.4009751026074686,
      0.39339941949530777,
      0.38775316471846216,
      0.383912717381514,
      0.38173525048062446,
      0.3810655204034454,
      0.3817406641537678,
      0.38360384166434697,
      0.3865144868621051,
      0.3903524047275264,
      0.39501997009260365,
      0.4004358872416464,
      0.4065284192070976,
      0.4132334229595403,
      0.4204933131715321,
      0.4282573481144742,
      0.43648052310601665,
      0.4451247732041487,
      0.45415809976007165,
      0.4635520467401013,
      0.4732802952475593,
      0.48331781666954676,
      0.4936421059384167,
      0.504232080879576,
      0.5150682088309425,
      0.526133112337739,
      0.5374112993123332,
      0.5488889252363743,
      0.5605535832153811,
      0.5723941185575658,
      0.5844004655835514,
      0.5965635029324372,
      0.6088749262464093,
      0.6213271753548968,
      0.6339139763933724,
      0.6466300342837773,
      0.6594703516282845,
      0.6724301770133915,
      0.68550495910156,
      0.698689868522649,
      0.7119788789324866,
      0.7253659451044269,
      0.7388455927661239,
      0.7524128852644922,
      0.7660630318202133,
      0.7797913154070479,
      0.7935926767343504,
      0.8074620537197738,
      0.8213953899477676,
      0.8353887942633994,
      0.8494382808431534,
      0.8635397648578474,
      0.8776890594624737,
      0.8918818739024225,
      0.9061138121743696,
      0.9203806587661317,
      0.9346791716718618,
      0.9490062664752325,
      0.9633587066880228,
      0.9777329970584452,
      0.9921253209019607,
      1.0065321267872618,
      1.020949753338015,
      1.0353739803386635,
      1.049799898619351,
      1.064222390250792,
      1.078636210370632,
      1.093036070706459,
      1.1074169943875833,
      1.1217740555672693,
      1.1361021647138003,
      1.150396087707606,
      1.164650463595476,
      1.1788598219447863,
      1.1930185997109157,
      1.2071211576244347,
      1.2211617961984518,
      1.2351347719060843,
      1.2490343124934906,
      1.2628546320133653,
      1.276589945850724,
      1.2902344855468355,
      1.303782513220907,
      1.317228335634361,
      1.3305663183940377,
      1.3437908994101027,
      1.3568966020397348,
      1.3698780483920294,
      1.382729971432654,
      1.3954472272160747,
      1.4080248067877432,
      1.4204578474464673,
      1.4327416431537974,
      1.4448716548904714,
      1.4568435203322376,
      1.46865313077695,
      1.4802968683166775,
      1.491771376978127,
      1.5030734573157563,
      1.5142000774041215,
      1.5251483126818368,
      1.5359153391844493,
      1.546498534332921,
      1.5568954907819816,
      1.5671040213367842,
      1.5771221618348101,
      1.5869481739072722,
      1.5965805467896192,
      1.6060179981160516,
      1.6152594741951463,
      1.6243041491985653,
      1.6331514243256557,
      1.6418009255179147,
      1.6502525006406918,
      1.6585062159851314,
      1.6665623525068995,
      1.6744214014081977,
      1.6820840587754244,
      1.6895512201587437,
      1.6968239748138736,
      1.7039035986182773,
      1.7107915476788726,
      1.7174894508881164,
      1.723999102537441,
      1.7303224547270166,
      1.7364616094159062,
      1.7424188104685108,
      1.7481964351405646,
      1.7537969855189852,
      1.7592230805851208,
      1.7644774475384972,
      1.7695629134618018,
      1.774482396477277,
      1.7792388978860085,
      1.783835493477067,
      1.788275325602509,
      1.7925615953776202,
      1.796697554366541,
      1.8006864974032597,
      1.8045317551974895,
      1.808236686545176,
      1.8118046718461254,
      1.8152391061723003,
      1.8185433929785564,
      1.8217209376152594,
      1.8247751450402536,
      1.8277094591810794,
      1.8305273396152162,
      1.833232214006264,
      1.8358274744051646,
      1.838316473904895,
      1.8407025232107235,
      1.8429888876543974,
      1.8451787847219163,
      1.8472753806380058,
      1.8492817885677229,
      1.851201066468396,
      1.8530362151152473,
      1.854790176316257,
      1.8564658311264308,
      1.858065999143155,
      1.8595934368091909,
      1.8610508368205527,
      1.8624408269717472,
      1.8637659700759965,
      1.8650287632404718,
      1.8662316379293231,
      1.8673769592458276,
      1.868467026526657,
      1.8695040734746688,
      1.8704902681921491,
      1.8714277136801307,
      1.8723184482491788,
      1.8731644461008534,
      1.8739676186430088,
      1.8747298146099143,
      1.8754528211267634,
      1.87613836470426,
      1.8767881124200472,
      1.8774036724750371,
      1.8779865955002109,
      1.8785383760559706,
      1.8790604534600914,
      1.8795542131154104,
      1.8800209878296263,
      1.8804620591780035,
      1.880878658401231,
      1.88127196805923,
      1.881643123321768,
      1.8819932133538053,
      1.8823232825911211,
      1.882634331601384,
      1.8829273189035511,
      1.8832031621680627,
      1.8834627397631836,
      1.8837068914771953,
      1.8839364201960405,
      1.884152093212937,
      1.8843546431179472,
      1.8845447693352413,
      1.8847231391368795,
      1.8848903888951045,
      1.8850471252669756,
      1.8851939262086854,
      1.8853313422253186,
      1.8854598972447756,
      1.885580089877582,
      1.8856923939938102,
      1.8857972604470052,
      1.8858951174006835,
      1.8859863716473038,
      1.8860714092909208,
      1.886150596809818,
      1.886224281684565,
      1.8862927934550744,
      1.886356444137794,
      1.886415529578652,
      1.886470329655899,
      1.8865211091626795,
      1.8865681188601833,
      1.8866115960389436,
      1.8866517644860845,
      1.886688835841615,
      1.8867230099014383,
      1.886754475188705,
      1.8867834095896994,
      1.8868099806465326,
      1.8868343463708483,
      1.8868566557637423,
      1.8868770489906115,
      1.8868956578210863,
      1.8869126063333774,
      1.886928011424358,
      1.8869419826164793,
      1.88695462273817,
      1.8869660283071206,
      1.8869762899213307,
      1.8869854926064853,
      1.8869937160174763,
      1.887001034799067,
      1.8870075188508215,
      1.887013233496307,
      1.8870182396576805,
      1.887022594391646,
      1.8870263510742216,
      1.8870295594373758,
      1.8870322657117713,
      1.8870345132314827,
      1.8870363422286727,
      1.8870377900894943,
      1.8870388914612142,
      1.887039678718365,
      1.887040181770771,
      1.8870404284847606,
      1.8870404446491755,
      1.8870402540965006,
      1.8870398789787826,
      1.8870393395881817,
      1.8870386546880988,
      1.8870378416429798,
      1.8870369164478955,
      1.887035893708987,
      1.8870347868800066,
      1.8870336082967574,
      1.8870323692637139,
      1.88703107988766,
      1.8870297496756916,
      1.8870283872183933,
      1.8870270003828162,
      1.8870255962012208,
      1.8870241810150001,
      1.8870227607212195,
      1.8870213406637786,
      1.8870199254234081,
      1.8870185190663695,
      1.887017125139534,
      1.8870157470728424,
      1.8870143878191543,
      1.887013049850661,
      1.8870117351559106,
      1.8870104456441439,
      1.887009182888698,
      1.8870079483285893,
      1.8870067432158548,
      1.8870055685631355,
      1.887004424888191,
      1.887003312569316,
      1.8870022322007531,
      1.8870011837783771,
      1.8870001675133483,
      1.8869991833233004,
      1.8869982312901592,
      1.8869973111514993,
      1.886996422504232,
      1.8869955650085486,
      1.886994738184936,
      1.8869939415673134,
      1.8869931746019186,
      1.8869924367495838,
      1.8869917271813994,
      1.8869910454407743,
      1.8869903911388897,
      1.8869897634465986,
      1.8869891616548349,
      1.8869885849721038,
      1.8869880326271125,
      1.8869875040222983,
      1.8869869984803227,
      1.8869865153464986,
      1.8869860537862737,
      1.886985613142183,
      1.8869851926295227,
      1.886984791642462,
      1.8869844093479338,
      1.8869840448900488,
      1.8869836976963013,
      1.8869833670714433,
      1.886983052503375,
      1.8869827533587327,
      1.886982468883646,
      1.886982198713161,
      1.8869819422614256,
      1.8869816987224826,
      1.8869814675797036,
      1.8869812483013935,
      1.8869810404430447,
      1.886980843342829,
      1.8869806567326421,
      1.8869804803315766,
      1.8869803136428551,
      1.8869801562595454,
      1.8869800075599428,
      1.8869798671151523,
      1.8869797345370862,
      1.8869796094280487,
      1.8869794913303897,
      1.8869793798287624,
      1.8869792745506462,
      1.8869791752684582,
      1.8869790816964793,
      1.886978993847143,
      1.8869789112173523,
      1.8869788335010302,
      1.8869787603861525,
      1.8869786918601943,
      1.8869786275999085,
      1.886978567480253,
      1.886978511116888,
      1.8869784582733546,
      1.8869784088615966,
      1.886978362738446,
      1.8869783194516194,
      1.8869782789522018,
      1.886978241187903,
      1.8869782058487885,
      1.88697817272369,
      1.8869781416495903,
      1.8869781124609548,
      1.8869780849899793,
      1.8869780592701735,
      1.88697803523119,
      1.8869780126989426,
      1.8869779917009153,
      1.8869779720593012,
      1.8869779537980682,
      1.8869779367360344,
      1.8869779203854717,
      1.8869779047663178,
      1.886977889897628,
      1.8869778757975422,
      1.8869778624832625,
      1.8869778499710324,
      1.8869778382761166,
      1.8869778274127833,
      1.8869778173942857,
      1.8869778082328463,
      1.8869777999396422,
      1.886977792524791,
      1.8869777858956136,
      1.8869777798567833,
      1.8869777744156624,
      1.8869777695280265,
      1.8869777649964345,
      1.8869777607755367,
      1.8869777568704826,
      1.8869777532860366,
      1.8869777500265716,
      1.8869777470960643,
      1.8869777444980895,
      1.8869777422358172,
      1.8869777403120072,
      1.8869777387290065,
      1.8869777374887464,
      1.88697773659274,
      1.8869777360420805,
      1.8869777358374398,
      1.8869777359790674,
      1.8869777364667906,
      1.8869777373000143,
      1.8869777383760071,
      1.8869777395409046,
      1.8869777407424073,
      1.8869777419790497,
      1.8869777432493229,
      1.886977744551677,
      1.8869777458845236,
      1.8869777472462361,
      1.8869777486351536,
      1.8869777500495812,
      1.8869777514877937
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360924786852,
      11.185754675675717,
      10.999746335987787,
      10.80378360528741,
      10.598855077833077,
      10.386064830836615,
      10.166594117552519,
      9.94179761841464,
      9.713128472255583,
      9.482018404511365,
      9.249856459100641,
      9.01798885428454,
      8.78763566513387,
      8.55982987618294,
      8.335402226857425,
      8.114970441295279,
      7.898942971195717,
      7.687523645656055,
      7.4807260832870295,
      7.278395576227491,
      7.0802363760460185,
      6.885838975318477,
      6.69470809880708,
      6.506295705726073,
      6.320029265559573,
      6.135337026610126,
      5.951661559869548,
      5.768481863699043,
      5.585334304873832,
      5.40182554340829,
      5.217657895089309,
      5.032643982675094,
      4.846717049819301,
      4.659933996426369,
      4.472457634942742,
      4.284569997442076,
      4.096681855211793,
      3.9093209481224105,
      3.7230919134132012,
      3.5386550582406215,
      3.356713700666298,
      3.1779885352701847,
      3.003194959481246,
      2.8330118492930145,
      2.6680576514808236,
      2.5088734408914184,
      2.355911322384904,
      2.209528237711948,
      2.069984687496672,
      1.937447669633426,
      1.8119976517718301,
      1.6936381840448385,
      1.5823054648437183,
      1.4778787270463658,
      1.3801903369721582,
      1.2890360464196249,
      1.2041844883122854,
      1.1253846878824325,
      1.0523733103711161,
      0.9848806988376893,
      0.9226358546221611,
      0.8653706972264587,
      0.8128229255204447,
      0.7647381774508673,
      0.7208717734741179,
      0.6809899534118987,
      0.6448706971872066,
      0.6123047608578985,
      0.5831005343503475,
      0.5570841557747678,
      0.5340943466220394,
      0.5139797284910909,
      0.49659575209677714,
      0.4818077931130196,
      0.46948676574391757,
      0.45950684009829923,
      0.45174003276910774,
      0.4460490318379615,
      0.4422719257604997,
      0.44023016242293217,
      0.43973483981732764,
      0.4406016823939705,
      0.4426691498916131,
      0.44579965536912064,
      0.4498806511453227,
      0.45481518857770387,
      0.46051639833487057,
      0.4669071564892542,
      0.47392025554277567,
      0.48149705013512567,
      0.4895887094781419,
      0.49815266927944846,
      0.5071508648742428,
      0.5165470342800056,
      0.5263056798294103,
      0.5363949148333919,
      0.5467864743249056,
      0.5574552711109908,
      0.5683790029940405,
      0.5795378063459438,
      0.5909139511555384,
      0.6024915719289657,
      0.6142564308366154,
      0.6261957086516949,
      0.6382978206310018,
      0.6505526543697714,
      0.6629517687548153,
      0.6754875100749411,
      0.6881527712024156,
      0.700940560680781,
      0.7138429372092427,
      0.7268524379420326,
      0.7399623229001803,
      0.753166129734437,
      0.7664572508547115,
      0.7798292392175195,
      0.7932759390806418,
      0.8067914375180435,
      0.8203704274322172,
      0.8340085412465436,
      0.84770154057945,
      0.8614451473371141,
      0.8752350353394377,
      0.889066823466486,
      0.9029360698407439,
      0.916838278059084,
      0.9307694449756426,
      0.9447265230572977,
      0.9587062925017902,
      0.9727052421591734,
      0.9867196358928839,
      1.0007457556071089,
      1.0147801601596655,
      1.0288191114756542,
      1.042858114210262,
      1.0568923856989505,
      1.0709170247602555,
      1.0849270221253533,
      1.0989172713050983,
      1.112882582600575,
      1.1268180270533066,
      1.140718880782811,
      1.1545802856483753,
      1.1683972670447618,
      1.1821647518473237,
      1.1958775845408052,
      1.2095305436676658,
      1.2231183571128452,
      1.2366357177860126,
      1.2500772981017503,
      1.263437764549406,
      1.276711791806126,
      1.289894076551955,
      1.3029793509859857,
      1.3159623959856337,
      1.3288380533860535,
      1.3416012391396634,
      1.3542469550411442,
      1.3667703003083764,
      1.37916648288045,
      1.3914308301869396,
      1.4035587998503172,
      1.415545989558621,
      1.4273881461549403,
      1.4390811746481822,
      1.450621146829521,
      1.462004429315727,
      1.4732278422559362,
      1.484288401390316,
      1.4951832661116111,
      1.505909736050675,
      1.5164651772084206,
      1.5268470818342306,
      1.5370531356200743,
      1.5470812217741763,
      1.5569294241692995,
      1.566596030978787,
      1.5760795359426394,
      1.585378640053405,
      1.5944922521304215,
      1.6034194886352364,
      1.6121596730836132,
      1.620712334547695,
      1.629077205558709,
      1.6372542195711428,
      1.6452435073897054,
      1.6530453937948497,
      1.6606603934188255,
      1.6680892058432402,
      1.6753327104521845,
      1.682391961171333,
      1.6892681802096268,
      1.6959627521614924,
      1.7024772175418714,
      1.7088132659991568,
      1.7149727292001233,
      1.720957573892193,
      1.7267698943796637,
      1.732411905331526,
      1.7378859345691593,
      1.7431944149758567,
      1.748339877266537,
      1.7533249422039556,
      1.7581523133419479,
      1.7628247695465946,
      1.7673451574122183,
      1.7717163841482337,
      1.7759414103948916,
      1.7800232433422076,
      1.7839649296625102,
      1.7877695492427508,
      1.7914402082615133,
      1.7949800330555787,
      1.7983921646438366,
      1.8016797521489598,
      1.8048459474774248,
      1.8078939022956844,
      1.8108268071934666,
      1.813647872769695,
      1.8163602807996897,
      1.818967181318948,
      1.821471689871324,
      1.8238768841251627,
      1.8261858017060026,
      1.8284014369229296,
      1.8305267391005484,
      1.8325646101412727,
      1.8345179024009866,
      1.8363894172989752,
      1.8381819038105534,
      1.8398980565500724,
      1.8415405149313568,
      1.8431118619926308,
      1.8446146235577847,
      1.846051267642052,
      1.847424203399617,
      1.8487357811985201,
      1.849988292152369,
      1.8511839677268642,
      1.8523249799878123,
      1.8534134415810677,
      1.8544514060101847,
      1.8554408678099434,
      1.8563837629772841,
      1.8572819693583282,
      1.8581373072505472,
      1.8589515403250696,
      1.8597263762111311,
      1.860463467000008,
      1.8611644103833636,
      1.8618307503091178,
      1.8624639781232788,
      1.8630655335891941,
      1.8636368056834987,
      1.8641791338320999,
      1.86469380897584,
      1.8651820745182524,
      1.8656451276136117,
      1.866084120286793,
      1.8665001607926508,
      1.8668943141461969,
      1.8672676038590958,
      1.8676210129488384,
      1.8679554847803,
      1.8682719246548531,
      1.8685712009258384,
      1.8688541461483468,
      1.8691215576019882,
      1.8693741991696828,
      1.8696128021303953,
      1.8698380662889966,
      1.8700506609343597,
      1.8702512261840498,
      1.8704403737996376,
      1.8706186882852955,
      1.870786727709649,
      1.8709450248096788,
      1.8710940880703582,
      1.8712344024742245,
      1.871366430377792,
      1.871490612463115,
      1.8716073685602714,
      1.8717170985434188,
      1.8718201830453096,
      1.8719169842945234,
      1.872007846973143,
      1.8720930988903963,
      1.8721730516241757,
      1.8722480012823917,
      1.87231822897656,
      1.8723840017698028,
      1.8724455731832308,
      1.8725031838698492,
      1.8725570619980993,
      1.872607423903803,
      1.8726544746538478,
      1.8726984084701297,
      1.8727394096743943,
      1.8727776524748314,
      1.8728133018828654,
      1.8728465138778319,
      1.8728774359888596,
      1.87290620783549,
      1.8729329615249877,
      1.872957821600487,
      1.872980905709973,
      1.8730023249779137,
      1.8730221844862096,
      1.8730405832538048,
      1.8730576145789148,
      1.873073366540627,
      1.873087922201576,
      1.8731013595110977,
      1.8731137519771837,
      1.8731251689368278,
      1.8731356754242925,
      1.8731453327055385,
      1.8731541984101663,
      1.8731623267186035,
      1.8731697685021294,
      1.873176571568719,
      1.873182780810726,
      1.8731884380506725,
      1.8731935828570625,
      1.8731982522947652,
      1.87320248098342,
      1.8732063014129523,
      1.8732097439057518,
      1.8732128368354468,
      1.8732156068989432,
      1.8732180789326955,
      1.8732202762904961,
      1.8732222204093998,
      1.8732239316999746,
      1.8732254287598227,
      1.8732267292670912,
      1.873227849451345,
      1.8732288047865555,
      1.8732296094644487,
      1.873230276428789,
      1.8732308180214192,
      1.8732312457135603,
      1.8732315700923807,
      1.8732318009503115,
      1.87323194707027,
      1.873232016876423,
      1.873232018170122,
      1.8732319580699401,
      1.8732318432067572,
      1.8732316796651642,
      1.8732314731797535,
      1.8732312288233144,
      1.8732309514586156,
      1.8732306454783736,
      1.8732303146985225,
      1.8732299630147962,
      1.873229593787902,
      1.873229209941404,
      1.8732288142633033,
      1.8732284092502858,
      1.873227997003119,
      1.8732275795292934,
      1.8732271589441327,
      1.8732267371631348,
      1.8732263155437854,
      1.8732258953925223,
      1.873225477963195,
      1.8732250643539228,
      1.87322465545491,
      1.8732242521508555,
      1.873223855116504,
      1.8732234648158315,
      1.8732230818066453,
      1.8732227065365357,
      1.873222339342343,
      1.8732219806531654,
      1.873221630888166,
      1.8732212900492273,
      1.8732209584329123,
      1.87322063632505,
      1.8732203236951972,
      1.873220020501824,
      1.873219726794068,
      1.8732194425083217,
      1.8732191677733625,
      1.87321890240167,
      1.8732186461947626,
      1.8732183988926152,
      1.873218160377335,
      1.8732179303682326,
      1.8732177086255255,
      1.8732174952048877,
      1.8732172900505772,
      1.8732170927920613,
      1.8732169032529804,
      1.8732167213496553,
      1.8732165467860973,
      1.873216379359421,
      1.8732162188584405,
      1.8732160652672531,
      1.8732159183585102,
      1.8732157781004248,
      1.8732156441483423,
      1.873215516048518,
      1.8732153937472007,
      1.8732152769804318,
      1.87321516537611,
      1.8732150587594918,
      1.8732149567974672,
      1.8732148594565785,
      1.8732147665963266,
      1.8732146780709218,
      1.8732145936786664,
      1.8732145132130076,
      1.8732144365136967,
      1.873214363517804,
      1.8732142942089,
      1.8732142283628361,
      1.8732141658531367,
      1.8732141067528438,
      1.873214050724144,
      1.873213997425659,
      1.873213946817966,
      1.8732138989093463,
      1.8732138537049114,
      1.8732138108506444,
      1.8732137702948979,
      1.8732137319833386,
      1.8732136957573207,
      1.873213661557446,
      1.8732136290168677,
      1.8732135980718567,
      1.873213568758574,
      1.8732135411112745,
      1.8732135151114029,
      1.873213490585936,
      1.8732134674109304,
      1.8732134457151783,
      1.8732134253206267,
      1.8732134061493826,
      1.8732133882238489,
      1.8732133715649726,
      1.8732133559887802,
      1.8732133413609549,
      1.8732133277493885,
      1.8732133148648609,
      1.8732133027224234,
      1.8732132913362651,
      1.8732132807196917,
      1.8732132708851092,
      1.87321326184401,
      1.8732132536069592,
      1.8732132459801567,
      1.8732132388707945,
      1.8732132322871802,
      1.8732132262878798,
      1.8732132211341725,
      1.873213216679498,
      1.8732132125222396,
      1.8732132086163733,
      1.8732132049664632,
      1.873213201475059,
      1.873213197993688,
      1.8732131944755401,
      1.8732131909755796,
      1.8732131874979063,
      1.873213184097417,
      1.87321318067639,
      1.8732131772388227,
      1.8732131737887323,
      1.8732131703301504,
      1.8732131668671186,
      1.8732131634036837,
      1.8732131599438928,
      1.873213156491789,
      1.8732131530514065,
      1.8732131496267652,
      1.8732131462218673,
      1.8732131428406915,
      1.873213139487189,
      1.8732131361652784,
      1.873213132878842,
      1.8732131296317198,
      1.8732131264277063,
      1.8732131232705458,
      1.8732131201639275
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.36088806259213,
      11.185639828103112,
      10.999525169986905,
      10.803442302757858,
      10.598395132968589,
      10.38550256494383,
      10.165958709870033,
      9.941130059591153,
      9.712474883605136,
      9.481426915142073,
      9.249380307517994,
      9.017685090299736,
      8.787554869754011,
      8.560016544315832,
      8.335893986954735,
      8.115801789574066,
      7.900146182102967,
      7.689129159633906,
      7.4827629865643095,
      7.280892168745217,
      7.083220913474393,
      6.889340309849164,
      6.69875617857644,
      6.510921848789291,
      6.325266260372141,
      6.141219377566066,
      5.958225862665664,
      5.7757653809144145,
      5.593375541415046,
      5.410662433029456,
      5.227325826748733,
      5.043174453606027,
      4.85813623567328,
      4.672263085152835,
      4.485712358602769,
      4.29875531857507,
      4.111791496248805,
      3.9253382125214853,
      3.739994123529168,
      3.556411765846665,
      3.375286488202515,
      3.1973323995812146,
      3.0232600799240874,
      2.853746697828936,
      2.6894112677754163,
      2.5307975621178933,
      2.3783622435662517,
      2.2324683178525175,
      2.093383514054378,
      1.9612828082383418,
      1.8362552254941582,
      1.7183127432467535,
      1.6073996520157343,
      1.5034027081733738,
      1.4061612548690707,
      1.3154774092356505,
      1.231125452329742,
      1.152859435123386,
      1.0804204735242833,
      1.0135427980262015,
      0.9519588435552429,
      0.8954034298482749,
      0.8436166939063026,
      0.7963464799632527,
      0.7533500593383889,
      0.7143954036035042,
      0.6792630962677207,
      0.6477501360583529,
      0.6196709264523916,
      0.594853707105242,
      0.5731400617692695,
      0.5543774854953885,
      0.538421692432682,
      0.525134370430397,
      0.5143790286461892,
      0.5060090498122495,
      0.4998595281525814,
      0.49573706812884744,
      0.49343529387022644,
      0.49273946988225176,
      0.4934550466949309,
      0.49541795911035547,
      0.4984915880766865,
      0.5025596106922425,
      0.5075173900252913,
      0.5132718832495826,
      0.519741292460543,
      0.5268561731974478,
      0.5345575484454879,
      0.5427918609342994,
      0.5515109421283565,
      0.5606700701866559,
      0.5702276422219511,
      0.5801465095607906,
      0.590393450619546,
      0.6009389658125841,
      0.6117568385704742,
      0.6228237278815714,
      0.6341188098824263,
      0.6456234619207664,
      0.6573209846501091,
      0.6691964794369555,
      0.6812373144937356,
      0.693432505851321,
      0.7057719535504009,
      0.7182450685707911,
      0.730841328085439,
      0.7435507802114483,
      0.7563642484676003,
      0.7692732244611541,
      0.7822697744481965,
      0.7953464568990914,
      0.8084962508011039,
      0.8217124928420588,
      0.8349894655401177,
      0.8483223101092707,
      0.8617062481737217,
      0.875136539710525,
      0.8886084671201381,
      0.9021172830825246,
      0.9156581715420165,
      0.9292268014129564,
      0.9428192367080492,
      0.956432129179987,
      0.9700620748710822,
      0.9837054382868867,
      0.99735841985481,
      1.011017467236639,
      1.0246790879691723,
      1.0383390933115104,
      1.0519929394391032,
      1.0656359801501358,
      1.0792634754525647,
      1.0928706013429645,
      1.1064524589949982,
      1.1200040840166878,
      1.1335204560759538,
      1.1469967047216745,
      1.1604282538441477,
      1.1738104848825754,
      1.1871386918483475,
      1.200408097754407,
      1.2136138704978248,
      1.2267511378255043,
      1.2398150019207874,
      1.2528005533782578,
      1.2657028851931063,
      1.278517105756263,
      1.2912383516206718,
      1.3038618001873301,
      1.3163826816403583,
      1.3287962906751603,
      1.3410979975916035,
      1.3532832594895252,
      1.3653476303655592,
      1.377286771500048,
      1.3890964608736935,
      1.400772602384333,
      1.4123112346639717,
      1.423708539089959,
      1.4349608475984312,
      1.4460646497359697,
      1.4570168126745668,
      1.467814574911393,
      1.4784553065666306,
      1.488936511332598,
      1.4992557877655521,
      1.509410790702027,
      1.519399329373271,
      1.5292193908573908,
      1.538869143453038,
      1.5483469397055432,
      1.557651318523412,
      1.5667810067398784,
      1.5757349199163986,
      1.5845121625936924,
      1.5931120278420128,
      1.6015339964223922,
      1.6097777351101334,
      1.6178430945991307,
      1.6257301068996992,
      1.6334389822980397,
      1.640970105897493,
      1.6483240334086169,
      1.6555014868753872,
      1.6625033499088449,
      1.669330662612725,
      1.6759846164901826,
      1.6824665484538086,
      1.6887779348949492,
      1.694920385855452,
      1.7008956386862382,
      1.7067055515459741,
      1.7123520966377537,
      1.7178373539993697,
      1.723163504274225,
      1.728332822554066,
      1.7333476711644968,
      1.7382104931320432,
      1.7429238056819776,
      1.7474901929648214,
      1.751912299805218,
      1.7561928254698582,
      1.7603345170623215,
      1.7643401633748035,
      1.7682125885516602,
      1.7719546464467082,
      1.77556921497924,
      1.7790591903031112,
      1.782427481569457,
      1.785677005792639,
      1.788810682735419,
      1.7918314312554653,
      1.7947422079696473,
      1.7975459917351913,
      1.8002457355403876,
      1.802844363618506,
      1.8053447683356902,
      1.8077498081401437,
      1.8100623051634421,
      1.8122850428957018,
      1.8144207640507068,
      1.8164721688889622,
      1.8184419131979346,
      1.8203326068575716,
      1.8221468126471256,
      1.8238870446431024,
      1.8255557672872873,
      1.8271553944741319,
      1.8286882884631404,
      1.8301567595921269,
      1.831563065324648,
      1.8329094100129164,
      1.8341979444682628,
      1.8354307657528086,
      1.8366099175042774,
      1.8377373896804161,
      1.8388151186952875,
      1.8398449875965712,
      1.840828826390203,
      1.8417684126184821,
      1.8426654714323443,
      1.8435216762809066,
      1.8443386495091236,
      1.8451179632733974,
      1.8458611399131144,
      1.8465696528992568,
      1.8472449274978493,
      1.8478883418108683,
      1.8485012273318908,
      1.84908487018761,
      1.8496405118964299,
      1.8501693503063585,
      1.8506725408657063,
      1.8511511971590062,
      1.8516063921836734,
      1.8520391591980736,
      1.8524504927008616,
      1.8528413496940415,
      1.8532126508229558,
      1.8535652812403116,
      1.853900091295984,
      1.8542178977646062,
      1.8545194848479885,
      1.8548056053583515,
      1.8550769815734098,
      1.8553343063226466,
      1.8555782437950876,
      1.8558094301704653,
      1.8560284749885736,
      1.8562359621372115,
      1.8564324503050886,
      1.8566184743748082,
      1.8567945457201656,
      1.8569611535946964,
      1.857118765575976,
      1.857267828590981,
      1.8574087695046864,
      1.8575419960849444,
      1.8576678974784329,
      1.8577868451633728,
      1.8578991933610471,
      1.858005280177375,
      1.8581054279475355,
      1.8581999437496264,
      1.8582891201887262,
      1.858373236348886,
      1.8584525577929454,
      1.858527337187319,
      1.8585978150929219,
      1.85866422046393,
      1.8587267711082547,
      1.8587856740581044,
      1.8588411260032827,
      1.8588933141931039,
      1.8589424163824622,
      1.8589886013476224,
      1.8590320296659,
      1.859072853589047,
      1.8591112175358764,
      1.8591472585934963,
      1.8591811067214108,
      1.8592128851669716,
      1.8592427109896428,
      1.859270694880385,
      1.85929694195416,
      1.8593215516840336,
      1.8593446181974982,
      1.8593662307820589,
      1.8593864737351973,
      1.8594054270333826,
      1.8594231662430771,
      1.859439762741846,
      1.8594552841473377,
      1.8594697942420975,
      1.8594833533601283,
      1.859496018624833,
      1.8595078439362491,
      1.8595188799618396,
      1.8595291748427427,
      1.859538773936792,
      1.8595477201747426,
      1.8595560539615046,
      1.8595638132327656,
      1.8595710339213123,
      1.8595777499677162,
      1.8595839929265385,
      1.8595897929480825,
      1.8595951780838234,
      1.859600175068639,
      1.8596048089350385,
      1.8596091030360453,
      1.85961307952766,
      1.8596167592425095,
      1.8596201616664485,
      1.8596233052728712,
      1.8596262072478065,
      1.859628884080953,
      1.8596313509878888,
      1.8596336221981824,
      1.8596357110920176,
      1.8596376303379556,
      1.8596393914718174,
      1.859641005494091,
      1.8596424829084777,
      1.8596438333034158,
      1.8596450659515245,
      1.8596461894432839,
      1.8596472117282936,
      1.8596481402081189,
      1.8596489818297453,
      1.859649742925203,
      1.85965042956053,
      1.8596510477324046,
      1.8596516025985759,
      1.8596520991332142,
      1.8596525416129197,
      1.8596529343237689,
      1.8596532813531925,
      1.8596535865853785,
      1.8596538530866744,
      1.8596540843226645,
      1.8596542831881242,
      1.8596544526139802,
      1.8596545952588823,
      1.8596547133028722,
      1.8596548090551932,
      1.8596548843922875,
      1.8596549411625285,
      1.8596549813368046,
      1.8596550064468607,
      1.859655018092013,
      1.8596550175815514,
      1.8596550062892283,
      1.8596549852448228,
      1.859654955438151,
      1.8596549180214008,
      1.859654873951853,
      1.859654823990774,
      1.8596547691094272,
      1.8596547099794472,
      1.859654647378928,
      1.859654581835586,
      1.8596545138295035,
      1.859654443894448,
      1.8596543726171395,
      1.8596543001789778,
      1.8596542270677698,
      1.8596541534669553,
      1.8596540795605216,
      1.8596540056344897,
      1.8596539321783432,
      1.859653859375898,
      1.8596537872576706,
      1.8596537158534459,
      1.859653645446424,
      1.8596535761153021,
      1.8596535079375698,
      1.8596534409894276,
      1.8596533753457016,
      1.8596533110797604,
      1.859653248263432,
      1.8596531869669248,
      1.8596531272587482,
      1.8596530692056363,
      1.8596530127707722,
      1.8596529581189283,
      1.8596529052094906,
      1.8596528541524286,
      1.8596528048014045,
      1.8596527571606996,
      1.859652711181835,
      1.8596526667128068,
      1.859652623803274,
      1.8596525821960668,
      1.8596525419376837,
      1.8596525030731204,
      1.8596524656458144,
      1.8596524296975974,
      1.8596523952686475,
      1.8596523621940182,
      1.85965233030723,
      1.8596522996439317,
      1.8596522701366835,
      1.8596522417167443,
      1.859652214415878,
      1.8596521883662998,
      1.8596521634954275,
      1.8596521398310537,
      1.8596521173996277,
      1.859652095921068,
      1.8596520754193713,
      1.8596520559174703,
      1.859652037335432,
      1.8596520194906074,
      1.8596520024029366,
      1.8596519858880909,
      1.8596519699645333,
      1.8596519548534785,
      1.8596519405718202,
      1.8596519270337954,
      1.8596519140511178,
      1.8596519016382929,
      1.859651889809194,
      1.8596518785770424,
      1.8596518679543919,
      1.859651857953115,
      1.8596518485843896,
      1.8596518398586872,
      1.85965183178576,
      1.859651824374631,
      1.8596518176335832,
      1.8596518112650084,
      1.8596518050217494,
      1.859651798859907,
      1.8596517927863683,
      1.8596517868079214,
      1.8596517809312483,
      1.859651775162917,
      1.8596517695093746,
      1.85965176397694,
      1.8596517585717967,
      1.8596517532999857,
      1.859651748167399,
      1.8596517431797734,
      1.8596517386986886,
      1.8596517348308592,
      1.8596517312246503,
      1.8596517277823388,
      1.859651724507772,
      1.8596517214046098,
      1.8596517184763206,
      1.8596517157261772,
      1.8596517131572532,
      1.85965171077242,
      1.859651708574343,
      1.8596517065654787,
      1.8596517047480727,
      1.859651703124156,
      1.8596517016955436,
      1.8596517004638324,
      1.8596516994303989,
      1.8596516985963982,
      1.8596516979627624,
      1.8596516975301998,
      1.8596516972991937
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360853404346106,
      11.185531905527657,
      10.999318295506134,
      10.803124708053552,
      10.597970880646608,
      10.384990647763164,
      10.165389896369344,
      9.940545048862539,
      9.711918587921726,
      9.480946086649794,
      9.249028373743009,
      9.017515219419513,
      8.787613566618155,
      8.560345166629165,
      8.336527545644984,
      8.116773048571062,
      7.901485838589742,
      7.690866232097704,
      7.484925283776115,
      7.283506850977546,
      7.08631519294189,
      6.892942094815983,
      6.702894525968477,
      6.515627194454245,
      6.330570498485542,
      6.14715580060551,
      5.964829881375483,
      5.783073355706022,
      5.601424971792017,
      5.419490203267325,
      5.236966295372097,
      5.053658135917873,
      4.869488406185555,
      4.6845033568616925,
      4.498855206642111,
      4.312805224689673,
      4.1267414042910255,
      3.9411703678121013,
      3.756684464675824,
      3.5739288273869843,
      3.3935909550391066,
      3.2163784202818606,
      3.0429969645626476,
      2.8741220317039353,
      2.7103731411411,
      2.552296660925772,
      2.400353678502763,
      2.2549131083003617,
      2.1162497094217354,
      1.9845463083437205,
      1.8599003328611763,
      1.7423319593916526,
      1.631793396533349,
      1.5281787502174178,
      1.4313341736150842,
      1.3410679824729492,
      1.2571599431561653,
      1.1793689741268292,
      1.1074404803374955,
      1.0411124158976999,
      0.9801204854077719,
      0.9242023004865004,
      0.873100324995318,
      0.8265642747836676,
      0.7843529914101905,
      0.746237255160608,
      0.7120025003955155,
      0.6814514852159556,
      0.6544012525804326,
      0.6306842250931638,
      0.6101407108503266,
      0.5926162164598477,
      0.5779637960080808,
      0.5660373886125772,
      0.5566757066672626,
      0.5496908952438773,
      0.5448656112027483,
      0.5419721131341807,
      0.5407749477305687,
      0.5410688516720265,
      0.5426824343174409,
      0.5454727536509204,
      0.5493135052904708,
      0.5540915868973906,
      0.5597074645501049,
      0.5660754594005596,
      0.5731211572437962,
      0.5807782923530835,
      0.5889880128285305,
      0.5976968122623356,
      0.6068548096315434,
      0.6164174850312796,
      0.6263454462979983,
      0.6366037962376266,
      0.6471615408066803,
      0.657990955254588,
      0.6690673155898362,
      0.6803686177736716,
      0.6918750983928346,
      0.7035694181387571,
      0.7154359890565798,
      0.7274593093956598,
      0.7396250887553569,
      0.7519203664487938,
      0.7643333372963039,
      0.7768531991306404,
      0.7894700192741773,
      0.802174617241185,
      0.8149584623790918,
      0.8278135841478337,
      0.8407327245412514,
      0.8537098930510439,
      0.8667394200694203,
      0.8798156926835817,
      0.8929332723537836,
      0.9060869927951748,
      0.9192720113103121,
      0.9324838983374687,
      0.9457182591849974,
      0.9589710208483792,
      0.9722386211943367,
      0.9855173839080659,
      0.9988034637083772,
      1.012093198581557,
      1.0253830492801963,
      1.0386688291082824,
      1.0519461273181692,
      1.0652104543332173,
      1.0784572493409899,
      1.0916818876286318,
      1.1048796882104142,
      1.118045922092592,
      1.131175819940229,
      1.1442645800421714,
      1.1573073768067645,
      1.1702994961103024,
      1.1832365550383075,
      1.1961141841727811,
      1.2089279575969019,
      1.221673408016113,
      1.2343460410695823,
      1.2469413487014345,
      1.2594548229804767,
      1.2718819684962936,
      1.2842183148611492,
      1.2964594281963744,
      1.3086009228164597,
      1.3206384720806175,
      1.3325678190047776,
      1.3443847860009093,
      1.3560852850395542,
      1.3676653267805619,
      1.3791210291970013,
      1.390448625959103,
      1.401644474588219,
      1.412705063624553,
      1.4236270198303613,
      1.4344071146171584,
      1.4450423634383007,
      1.455530204420202,
      1.4658682529020717,
      1.476054241732296,
      1.4860860111591938,
      1.4959614386061688,
      1.5056785105106565,
      1.515235374463674,
      1.5246303425813466,
      1.5338618935678474,
      1.5429286757622032,
      1.551829508274838,
      1.5605633814407285,
      1.5691294574106747,
      1.577527070228995,
      1.5857557245443659,
      1.5938150943405627,
      1.6017050211941843,
      1.6094255123825445,
      1.6169767378957316,
      1.6243590271895494,
      1.6315728660607975,
      1.6386188925029732,
      1.645497892488481,
      1.6522107957612677,
      1.6587586708615534,
      1.6651427203871507,
      1.671364275565281,
      1.6774247908389208,
      1.683325838360091,
      1.689069102284547,
      1.6946563728154718,
      1.7000895404540917,
      1.7053705897982387,
      1.7105015936554868,
      1.7154847072221444,
      1.7203221616226607,
      1.7250162582420063,
      1.7295693624871775,
      1.7339838978530542,
      1.7382623401007706,
      1.7424072119170881,
      1.7464210768977702,
      1.750306534089707,
      1.7540662129026952,
      1.7577027674898023,
      1.7612188717307011,
      1.7646172147315873,
      1.767900495737803,
      1.7710714195431758,
      1.7741326923607146,
      1.7770870235614245,
      1.7799371618220927,
      1.782685866288146,
      1.7853358714748793,
      1.7878898848536717,
      1.7903505843853273,
      1.7927206162681266,
      1.7950025932196625,
      1.7971990922876635,
      1.7993126531688557,
      1.8013457767936243,
      1.8033009237298603,
      1.8051805125189628,
      1.806986919022657,
      1.8087224748575577,
      1.8103894666056888,
      1.8119901349453067,
      1.8135266743715537,
      1.815001231887392,
      1.8164159070121824,
      1.8177727511823794,
      1.819073767568002,
      1.8203209109553289,
      1.8215160873963594,
      1.8226611545461742,
      1.823757921777449,
      1.8248081500260702,
      1.825813552491222,
      1.8267757944135459,
      1.827696493919028,
      1.828577222558362,
      1.829419505391985,
      1.8302248217433268,
      1.8309946060116518,
      1.8317302478351682,
      1.8324330934881885,
      1.8331044459199979,
      1.8337455659295838,
      1.8343576729006192,
      1.8349419456576772,
      1.8354995228847149,
      1.8360315043791815,
      1.8365389519211832,
      1.8370228901143564,
      1.837484306995559,
      1.8379241551769845,
      1.838343352859448,
      1.8387427844628117,
      1.8391233016874504,
      1.8394857243962355,
      1.8398308414191455,
      1.8401594115342075,
      1.8404721644722626,
      1.8407698015891896,
      1.8410529966120763,
      1.8413223967647212,
      1.8415786236103258,
      1.8418222733568046,
      1.84205391825223,
      1.8422741072387143,
      1.8424833668304232,
      1.8426822017575688,
      1.8428710956302412,
      1.8430505115709994,
      1.843220893324057,
      1.8433826659250874,
      1.8435362360833556,
      1.8436819929374428,
      1.8438203087260798,
      1.8439515394752377,
      1.8440760255484503,
      1.8441940924666196,
      1.8443060511321563,
      1.8444121986269615,
      1.8445128188206497,
      1.844608182483321,
      1.8446985483778167,
      1.8447841634484268,
      1.8448652633267575,
      1.8449420725439287,
      1.8450148054658042,
      1.8450836664758716,
      1.8451488502701157,
      1.8452105426700791,
      1.8452689205806372,
      1.845324152618053,
      1.8453763992379684,
      1.8454258133803334,
      1.8454725403086065,
      1.8455167186771122,
      1.8455584803850988,
      1.8455979506409077,
      1.845635248694409,
      1.845670488016257,
      1.8457037765846904,
      1.845735216873229,
      1.8457649062508223,
      1.84579293753977,
      1.8458193988158107,
      1.8458443736200145,
      1.8458679411243741,
      1.8458901767090878,
      1.8459111519334848,
      1.8459309346634774,
      1.8459495896605624,
      1.8459671780047484,
      1.8459837574871343,
      1.8459993830063381,
      1.846014106917018,
      1.8460279786690585,
      1.846041045060132,
      1.8460533506945394,
      1.8460649377831586,
      1.8460758462510842,
      1.8460861138477844,
      1.8460957763103327,
      1.8461048675796021,
      1.8461134198150333,
      1.8461214633604168,
      1.8461290268641128,
      1.846136137757091,
      1.8461428217660827,
      1.8461491031911719,
      1.8461550048800863,
      1.8461605486614383,
      1.8461657551180988,
      1.8461706436669316,
      1.846175232741572,
      1.8461795398744203,
      1.846183581474661,
      1.8461873728615095,
      1.8461909286547804,
      1.8461942628609533,
      1.846197388502348,
      1.8462003180100495,
      1.8462030629054806,
      1.8462056340932953,
      1.8462080421039895,
      1.8462102966758784,
      1.8462124069480559,
      1.8462143817559085,
      1.846216229163923,
      1.846217956914704,
      1.8462195721157277,
      1.8462210818419234,
      1.8462224926196158,
      1.8462238104195776,
      1.8462250411083145,
      1.8462261900858363,
      1.8462272623816975,
      1.8462282627511897,
      1.8462291957212167,
      1.8462300653820372,
      1.846230875637168,
      1.8462316303009267,
      1.84623233294182,
      1.8462329870821401,
      1.8462335956856493,
      1.8462341617646418,
      1.84623468797001,
      1.8462351768934468,
      1.8462356312681214,
      1.8462360531520745,
      1.8462364445363055,
      1.8462368075460445,
      1.846237144082532,
      1.8462374558209678,
      1.8462377443104527,
      1.8462380111757506,
      1.846238258166394,
      1.8462384865445567,
      1.8462386973379834,
      1.8462388916948997,
      1.8462390709336458,
      1.846239235880113,
      1.8462393874771654,
      1.8462395268853178,
      1.846239654871281,
      1.8462397722139325,
      1.8462398796526178,
      1.8462399781407015,
      1.8462400683868228,
      1.846240150803249,
      1.8462402260140405,
      1.8462402944475271,
      1.8462403566409833,
      1.8462404131383512,
      1.8462404642861827,
      1.8462405102842188,
      1.8462405518970713,
      1.846240589538057,
      1.8462406231670165,
      1.8462406531549196,
      1.8462406796732065,
      1.8462407032021595,
      1.8462407241235306,
      1.8462407424149985,
      1.8462407582604714,
      1.8462407719482115,
      1.8462407838704498,
      1.8462407940144727,
      1.846240802776311,
      1.846240810400919,
      1.8462408170835696,
      1.8462408227662828,
      1.846240827290438,
      1.8462408308546125,
      1.8462408335058793,
      1.846240835241409,
      1.8462408360593496,
      1.8462408359588283,
      1.8462408349399522,
      1.8462408333089617,
      1.8462408313727372,
      1.8462408291333492,
      1.8462408265931873,
      1.8462408237549626,
      1.8462408206217034,
      1.8462408171967535,
      1.8462408138906237,
      1.8462408109102835,
      1.8462408079537826,
      1.846240805024231,
      1.8462408021247547,
      1.846240799258448,
      1.8462407963266443,
      1.8462407934342067,
      1.8462407904825686,
      1.8462407875765239,
      1.8462407847191735,
      1.8462407818118416,
      1.8462407788576667,
      1.8462407759614905,
      1.8462407730246782,
      1.8462407701520982,
      1.846240767245163,
      1.8462407643068932,
      1.8462407614421588,
      1.8462407585523637,
      1.8462407556405105,
      1.8462407527097426,
      1.8462407498648767,
      1.8462407470072235,
      1.8462407441398685,
      1.8462407412658355,
      1.8462407383882276,
      1.8462407355100792,
      1.846240732634498,
      1.8462407297645167,
      1.8462407269032337,
      1.8462407240536665,
      1.8462407211171667,
      1.8462407181985934,
      1.8462407153010247,
      1.846240712427589,
      1.8462407095813165,
      1.8462407066635733,
      1.8462407037791444,
      1.846240700931144,
      1.8462406981225747,
      1.8462406957633215,
      1.846240694161064,
      1.8462406929106565,
      1.846240691759129,
      1.8462406906060123,
      1.8462406894525367,
      1.8462406882999336,
      1.8462406871494326,
      1.8462406860022615,
      1.8462406848596447,
      1.846240683671952,
      1.8462406824912732,
      1.846240681318868,
      1.8462406801559879,
      1.8462406790038732,
      1.846240677863754,
      1.8462406767368464
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360820128599645,
      11.185428452329615,
      10.999120509304872,
      10.802821788056244,
      10.597569484235823,
      10.384511982638495,
      10.164866076932231,
      9.940016687407761,
      9.711428327345592,
      9.480538968249045,
      9.248754845296293,
      9.01742524832419,
      8.787750585431272,
      8.5607459578589,
      8.337224635520347,
      8.117796892096507,
      7.902864996721019,
      7.692627744077521,
      7.4870950689247495,
      7.286110336461496,
      7.089377921927547,
      6.8964903690317625,
      6.706955808600871,
      6.520230304502428,
      6.335745679681421,
      6.152934602298399,
      5.97124596171425,
      5.790161383162676,
      5.609220412621282,
      5.428028205301311,
      5.246279623514043,
      5.063775919589374,
      4.880434809377806,
      4.696297200363399,
      4.51151073465765,
      4.326327054281922,
      4.141122572790275,
      3.9563936190894897,
      3.772725396324177,
      3.590756539414208,
      3.41116698530858,
      3.2346579448073265,
      3.0619303741343464,
      2.8936579678476897,
      2.7304606225452326,
      2.5728870843137295,
      2.4214025755825097,
      2.276381577476571,
      2.1381054897616294,
      2.006764689593304,
      1.8824646218295158,
      1.7652332141624743,
      1.6550301898887787,
      1.5517566626942585,
      1.4552652785261841,
      1.3653702363509592,
      1.2818565197452116,
      1.2044876882345732,
      1.1330132040086096,
      1.067174527043157,
      1.0067103762113077,
      0.9513608460922508,
      0.9008704484317042,
      0.8549906462621816,
      0.8134831409769459,
      0.7761224295134712,
      0.7426987085338961,
      0.7130178551630587,
      0.6869008308359015,
      0.6641812394440461,
      0.644695891892564,
      0.6282892603555226,
      0.6148077913475415,
      0.6040814651045288,
      0.5959066543629484,
      0.5900487977437647,
      0.5862628980857828,
      0.5842942746159521,
      0.5839219269040725,
      0.5849634591598648,
      0.587263365119048,
      0.590683429488982,
      0.5951006544900121,
      0.6004059440925452,
      0.606506701053091,
      0.6133220405764502,
      0.6207801688704546,
      0.628817308947198,
      0.6373746063753641,
      0.6463978394566893,
      0.6558390115961541,
      0.6656553166890034,
      0.6758086807354352,
      0.6862653080612586,
      0.6969951518534834,
      0.7079714488843346,
      0.7191703374548207,
      0.7305700587345563,
      0.742150622836146,
      0.7538940463156352,
      0.7657840991201337,
      0.7778060824954414,
      0.7899466343617056,
      0.8021935581276055,
      0.814535672548493,
      0.82696268008097,
      0.8394650517111374,
      0.8520341163154724,
      0.8646626002810651,
      0.8773439992746033,
      0.8900721996502404,
      0.9028413108631127,
      0.9156458314063564,
      0.9284807714975257,
      0.9413412702046752,
      0.9542225150725323,
      0.9671198645812128,
      0.980029325364538,
      0.9929470525235913,
      1.0058690840697728,
      1.018791737241787,
      1.0317111118002333,
      1.0446228941880977,
      1.0575227186485725,
      1.070406172091337,
      1.0832687988455991,
      1.0961061060321737,
      1.108913569227621,
      1.1216866384481625,
      1.1344207443761576,
      1.1471113045968122,
      1.1597537302707954,
      1.1723434331574967,
      1.1848758323405408,
      1.1973464949497552,
      1.209751304906126,
      1.2220861755215584,
      1.234346995225202,
      1.2465296408490685,
      1.2586299906393068,
      1.270643936543808,
      1.2825673954740306,
      1.2943963208605658,
      1.306126713020706,
      1.3177546296479306,
      1.3292761952881245,
      1.3406876112062385,
      1.351985163889593,
      1.3631652330753985,
      1.3742243002372703,
      1.3851589560724473,
      1.3959659075126245,
      1.4066419843204534,
      1.4171841450777443,
      1.427589483030694,
      1.4378553206565658,
      1.4479793834028234,
      1.4579595615358707,
      1.4677938511859283,
      1.4774803474840832,
      1.4870171743917544,
      1.4964025462325954,
      1.5056348247025229,
      1.514712521749091,
      1.5236343016357012,
      1.5323989829633224,
      1.5410055396433062,
      1.5494531015962942,
      1.5577409548853498,
      1.5658685415524614,
      1.5738354585137293,
      1.5816414564978767,
      1.5892864383362129,
      1.5967704566262335,
      1.6040937115560545,
      1.6112565476953662,
      1.6182594506970045,
      1.625103044346801,
      1.6317880864178862,
      1.6383154647377953,
      1.6446861927427692,
      1.65090140511809,
      1.6569623529046673,
      1.6628703986748685,
      1.6686270117212478,
      1.6742337626441977,
      1.6796923184047916,
      1.6850044366728267,
      1.6901719606923344,
      1.6951968140569924,
      1.7000809948402542,
      1.7048265707643941,
      1.7094356733298417,
      1.7139104927436104,
      1.718253272282676,
      1.7224663035767365,
      1.7265519212443066,
      1.7305124977068747,
      1.7343504382949804,
      1.7380681767089747,
      1.7416681701860044,
      1.7451528944878827,
      1.7485248402492055,
      1.7517865087658364,
      1.754940407186447,
      1.7579890449518978,
      1.7609349298683197,
      1.7637805871725234,
      1.7665285781868578,
      1.7691814511267412,
      1.7717417299375813,
      1.7742119119912372,
      1.7765944661091735,
      1.7788918310767639,
      1.78110641364313,
      1.7832405874416613,
      1.7852966912649888,
      1.7872770274171175,
      1.7891838607630266,
      1.791019417773028,
      1.7927858856724188,
      1.794485410993031,
      1.7961200989592678,
      1.79769201320785,
      1.799203175085265,
      1.8006555628861383,
      1.8020511115478486,
      1.8033917125533798,
      1.8046792136410816,
      1.8059154187846775,
      1.807102087889047,
      1.8082409371731294,
      1.80933363902367,
      1.8103818221883932,
      1.8113870721093381,
      1.8123509312471093,
      1.8132748994501509,
      1.8141604344737015,
      1.8150089520409445,
      1.8158218266696051,
      1.81660039209655,
      1.817345942065081,
      1.818059730714003,
      1.8187429735874918,
      1.8193968476393774,
      1.8200224923698094,
      1.820621010671186,
      1.8211934690790585,
      1.8217408989550135,
      1.8222642970763303,
      1.8227646266501993,
      1.8232428176848847,
      1.8236997679392957,
      1.8241363438408,
      1.8245533812696542,
      1.8249516860069377,
      1.8253320349653093,
      1.8256951767270952,
      1.8260418322039371,
      1.8263726957740198,
      1.8266884359807292,
      1.8269896963014918,
      1.8272770956305107,
      1.8275512291364584,
      1.8278126689863872,
      1.8280619652914127,
      1.8282996466633896,
      1.828526220890956,
      1.8287421754802573,
      1.828947978467205,
      1.8291440789411288,
      1.829330908245799,
      1.8295088800770276,
      1.8296783911042858,
      1.8298398216073655,
      1.8299935361277895,
      1.8301398841849443,
      1.8302792004974207,
      1.8304118057263403,
      1.8305380069264197,
      1.830658098212926,
      1.8307723610847522,
      1.8308810649116716,
      1.8309844675346971,
      1.8310828156230472,
      1.8311763448381841,
      1.8312652808219652,
      1.8313498391263345,
      1.831430225864795,
      1.8315066381183922,
      1.8315792640454,
      1.8316482834573555,
      1.8317138682504823,
      1.8317761823871097,
      1.8318353824442482,
      1.8318916179151044,
      1.8319450315174952,
      1.8319957594071348,
      1.832043931550008,
      1.8320896719990916,
      1.8321330990242835,
      1.8321743254514804,
      1.8322134588036327,
      1.832250601497879,
      1.8322858512003817,
      1.832319301033183,
      1.8323510397856757,
      1.8323811520795323,
      1.832409718639346,
      1.8324368160588642,
      1.832462517333926,
      1.8324868920940163,
      1.8325100068370912,
      1.8325319245573957,
      1.832552705393742,
      1.8325724064671125,
      1.8325910819246376,
      1.8326087836476617,
      1.8326255607416078,
      1.8326414601982526,
      1.832656526746543,
      1.8326708026038492,
      1.8326843280943648,
      1.8326971416082625,
      1.83270927946117,
      1.832720776314991,
      1.8327316650919907,
      1.8327419768397406,
      1.8327517413098708,
      1.8327609866736714,
      1.832769739849517,
      1.8327780264755305,
      1.832785870934512,
      1.8327932960748843,
      1.8328003235434849,
      1.8328069741196664,
      1.832813267744995,
      1.832819222943669,
      1.8328248574647759,
      1.8328301880100226,
      1.8328352307253555,
      1.832840000828623,
      1.8328445125432105,
      1.8328487794904378,
      1.832852814574062,
      1.832856630170554,
      1.832860237811422,
      1.8328636486292065,
      1.832866873295374,
      1.8328699215516264,
      1.8328728027086798,
      1.832875525992778,
      1.8328780997734837,
      1.8328805319620107,
      1.8328828302066023,
      1.8328850016304894,
      1.8328870529263783,
      1.832888990756529,
      1.8328908211865085,
      1.8328925498824655,
      1.832894182461401,
      1.8328957243328463,
      1.8328971802865592,
      1.8328985549961743,
      1.83289985306535,
      1.8329010785653645,
      1.8329022353361537,
      1.8329033273891626,
      1.8329043581913804,
      1.8329053311194645,
      1.832906249354638,
      1.8329071159302848,
      1.8329079336271534,
      1.832908705021428,
      1.8329094327871513,
      1.8329101193884898,
      1.8329107670262759,
      1.832911377890127,
      1.8329119539527687,
      1.8329124972222655,
      1.8329130095874338,
      1.8329134926634205,
      1.832913947993417,
      1.8329143771487975,
      1.8329147817275395,
      1.8329151629458016,
      1.83291552224687,
      1.8329158607911817,
      1.832916179556857,
      1.8329164798472448,
      1.8329167626285137,
      1.8329170290371348,
      1.832917279972004,
      1.832917516195178,
      1.8329177385853457,
      1.832917947933599,
      1.8329181452476335,
      1.832918331140586,
      1.832918506288043,
      1.8329186712747993,
      1.8329188267468128,
      1.8329189729529094,
      1.832919110253001,
      1.8329192392195002,
      1.8329193605350056,
      1.832919474686474,
      1.832919581964735,
      1.8329196830744123,
      1.8329197783196038,
      1.8329198680611727,
      1.8329199525638737,
      1.8329200321486816,
      1.8329201072432486,
      1.8329201779746516,
      1.8329202443727037,
      1.8329203066750193,
      1.8329203650217112,
      1.8329204198620215,
      1.8329204714453455,
      1.8329205199226606,
      1.8329205653972696,
      1.8329206081280902,
      1.8329206481225258,
      1.8329206853399118,
      1.8329207202509905,
      1.8329207531254033,
      1.8329207839297377,
      1.8329208129378192,
      1.8329208402218744,
      1.8329208658558662,
      1.8329208897120317,
      1.8329209119695398,
      1.832920932707481,
      1.8329209519047698,
      1.8329209696436128,
      1.8329209860076907,
      1.832921001183794,
      1.8329210155633202,
      1.8329210292334002,
      1.8329210421801345,
      1.8329210543903598,
      1.8329210658516613,
      1.8329210765523856,
      1.8329210865325154,
      1.8329210958835898,
      1.8329211044435563,
      1.832921112203707,
      1.8329211193595811,
      1.8329211260056235,
      1.832921132135077,
      1.8329211377417092,
      1.8329211428198198,
      1.8329211475676745,
      1.8329211520821669,
      1.832921156358707,
      1.832921160392946,
      1.8329211641807828,
      1.8329211677183657,
      1.832921171002098,
      1.832921174028641,
      1.8329211767949174,
      1.8329211792981146,
      1.8329211815356874,
      1.8329211835053607,
      1.832921185205132,
      1.8329211868367061,
      1.832921188500115,
      1.8329211900919422,
      1.832921191712303,
      1.832921193359593,
      1.832921194930438,
      1.8329211965248884,
      1.8329211981413231,
      1.8329211997780988,
      1.832921201433551,
      1.8329212031059965,
      1.832921204793735,
      1.8329212063933942,
      1.8329212079032786,
      1.8329212091184541,
      1.832921210088548,
      1.8329212110159856,
      1.8329212119506995,
      1.8329212128917391,
      1.832921213838148,
      1.8329212147889637
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360787610035539,
      11.185327539521655,
      10.998927980620305,
      10.802526980581517,
      10.59717835410619,
      10.38404461624705,
      10.164353274731736,
      9.939496708006706,
      9.710941323818982,
      9.480127866028964,
      9.248467335189602,
      9.017307929292791,
      8.787843443053216,
      8.561082552302539,
      8.337834856464585,
      8.118708719527225,
      7.90410464691666,
      7.694220002071576,
      7.4890636535732416,
      7.2884784826410804,
      7.092168948020953,
      6.899728298412788,
      6.710665741743003,
      6.524438602554007,
      6.34048004516828,
      6.158223988218306,
      5.977121365072007,
      5.79665482948478,
      5.616364348185645,
      5.435855214686512,
      5.254820232920398,
      5.073057458170265,
      4.890480193363917,
      4.707124575133365,
      4.5231340048268,
      4.338751285771571,
      4.154342848588447,
      3.9703949142741086,
      3.7874856529791954,
      3.606247747140882,
      3.4273540992228964,
      3.2514999869586156,
      3.0793817409061894,
      2.9116711957678665,
      2.7489884045817736,
      2.591884108209411,
      2.4408271494675757,
      2.2961969649662275,
      2.1582809118463437,
      2.027276265256732,
      1.903295717144691,
      1.7863743100929923,
      1.676478604578364,
      1.5735161284016592,
      1.4773454792322005,
      1.3877862456053198,
      1.3046281994615068,
      1.2276391677646885,
      1.156572315827733,
      1.0911721819091185,
      1.0311801504137543,
      0.9763386329142809,
      0.9263940833183618,
      0.881100460098245,
      0.8402226198692581,
      0.8035385780422093,
      0.7708422620320927,
      0.7419431441073723,
      0.7166653611416852,
      0.6948396291570602,
      0.6763015913601113,
      0.6608913283601269,
      0.6484362743257908,
      0.6387275463291723,
      0.6315179763840243,
      0.626549116262787,
      0.6235502096386153,
      0.6222767550089882,
      0.6225301474228359,
      0.6241404431565674,
      0.6269555529304607,
      0.6308381203026543,
      0.6356688121925848,
      0.6413469190463426,
      0.6477839949882256,
      0.6549014928382088,
      0.6626296105498686,
      0.6709039971966585,
      0.6796654643636875,
      0.6888616876485967,
      0.698446367113231,
      0.7083784852517683,
      0.7186216552448539,
      0.7291435478695525,
      0.7399142946557217,
      0.7509065236559992,
      0.7620966436976983,
      0.7734636426397673,
      0.7849886370666196,
      0.7966546055508356,
      0.808446154225155,
      0.8203493113437148,
      0.832351347205932,
      0.844440643801908,
      0.856606659786451,
      0.8688401516473753,
      0.8811332752234994,
      0.8934787539926894,
      0.9058697445484288,
      0.9183000931030538,
      0.9307640971368879,
      0.9432562352050156,
      0.9557711396978925,
      0.9683035735653476,
      0.980848546502918,
      0.9934017678504555,
      1.0059591505401106,
      1.0185167834428976,
      1.031070639491197,
      1.0436163941741683,
      1.0561497067001553,
      1.068666221359909,
      1.0811615692054823,
      1.0936313704598217,
      1.1060712377246238,
      1.1184767792901782,
      1.1308436026117623,
      1.1431673195420249,
      1.1554435506352776,
      1.167667929701727,
      1.1798361097367942,
      1.1919437683994218,
      1.203986613243975,
      1.215960388230513,
      1.2278610638168186,
      1.2396848792816588,
      1.2514280925537091,
      1.2630869668739666,
      1.2746577826639882,
      1.286136848360273,
      1.297520511279086,
      1.3088051673847438,
      1.3199872705590958,
      1.3310633418644766,
      1.3420299778138476,
      1.3528838587948118,
      1.3636217561971353,
      1.3742405393841557,
      1.3847371826292205,
      1.3951087714238593,
      1.4053525079187463,
      1.4154657164769673,
      1.4254458483855628,
      1.4352906831925054,
      1.4449983132047075,
      1.4545669264102599,
      1.4639948090323955,
      1.4732803256067357,
      1.482421853396223,
      1.4914178752705018,
      1.500267009944287,
      1.5089680140427457,
      1.5175197839324588,
      1.5259213569265397,
      1.534171912236624,
      1.5422707707228407,
      1.5502173951390203,
      1.558011389011416,
      1.565652496308811,
      1.573140599689345,
      1.5804757187730996,
      1.5876580076024445,
      1.5946877527427823,
      1.6015653700195187,
      1.6082914017036603,
      1.614866513264563,
      1.6212914898783781,
      1.6275672324756765,
      1.633694753876516,
      1.6396751742406401,
      1.6455097172493287,
      1.6511997054870298,
      1.6567465560357186,
      1.6621517758214204,
      1.6674169563556749,
      1.6725437696523826,
      1.6775339629309558,
      1.6823893541430375,
      1.6871118269026344,
      1.691703325943608,
      1.696165851991578,
      1.7005014568202292,
      1.704712238906693,
      1.7088003390840705,
      1.7127679353354712,
      1.71661723857061,
      1.720350488428618,
      1.7239699489650928,
      1.727477904183515,
      1.7308766544905063,
      1.7341685124585955,
      1.7373557992814859,
      1.7404408411196035,
      1.743425965602045,
      1.7463134982422197,
      1.7491057707317705,
      1.7518051532174672,
      1.7544140124961827,
      1.7569346922323197,
      1.7593695111551524,
      1.7617207615469972,
      1.763990707727673,
      1.7661815844436537,
      1.7682955960869662,
      1.770334914871367,
      1.7723016800604525,
      1.7741979970355506,
      1.7760259362115134,
      1.7777875320120267,
      1.7794847819632917,
      1.781119646472522,
      1.7826940479757751,
      1.7842098704282288,
      1.7856689590413182,
      1.7870731201707948,
      1.788424120445894,
      1.789723686925088,
      1.7909735068592445,
      1.7921752276773903,
      1.7933304574533286,
      1.794440764483978,
      1.795507677560141,
      1.7965326863228,
      1.797517241301341,
      1.7984627542979938,
      1.7993705988669222,
      1.8002421102295756,
      1.801078586459356,
      1.8018812884459718,
      1.802651440421196,
      1.8033902307429632,
      1.8040988122782473,
      1.8047783029454418,
      1.8054297863162607,
      1.8060543123289394,
      1.8066528980120973,
      1.8072265278643274,
      1.8077761546531934,
      1.8083027001764536,
      1.8088070558847558,
      1.8092900835185237,
      1.8097526159122956,
      1.8101954575091175,
      1.8106193851955095,
      1.811025148999708,
      1.811413472958084,
      1.8117850553872332,
      1.8121405698841424,
      1.8124806658846437,
      1.8128059694411893,
      1.813117083914825,
      1.8134145904793009,
      1.813699048844397,
      1.8139709977403538,
      1.8142309559770955,
      1.814479422857055,
      1.8147168786536367,
      1.8149437850533072,
      1.8151605864259406,
      1.815367709735562,
      1.8155655654311975,
      1.8157545476897785,
      1.8159350352827128,
      1.816107392149728,
      1.8162719679851,
      1.8164290980728517,
      1.8165791043546573,
      1.8167222957969333,
      1.8168589690234664,
      1.8169894083481812,
      1.8171138864797578,
      1.817232665134568,
      1.8173459949473665,
      1.8174541162560336,
      1.817557259692172,
      1.8176556458648083,
      1.8177494863244803,
      1.8178389837216382,
      1.8179243320239955,
      1.8180057170468045,
      1.8180833167361872,
      1.8181573015106214,
      1.818227834253042,
      1.8182950709202574,
      1.8183591609552578,
      1.8184202470953015,
      1.8184784659488296,
      1.8185339482222962,
      1.8185868187996388,
      1.8186371971833781,
      1.8186851976353542,
      1.8187309294242717,
      1.8187744968743385,
      1.8188159998762508,
      1.818855533690359,
      1.8188931892627447,
      1.8189290536470983,
      1.8189632101249906,
      1.8189957379738408,
      1.819026713103164,
      1.8190562079820065,
      1.8190842916713597,
      1.8191110301649212,
      1.81913648668186,
      1.819160721148637,
      1.81918379100607,
      1.8192057511543596,
      1.819226653798667,
      1.8192465488058593,
      1.8192654837075837,
      1.8192835040106181,
      1.8193006532039588,
      1.819316972564562,
      1.819332501524488,
      1.8193472777347408,
      1.8193613371307449,
      1.8193747137452303,
      1.8193874400823713,
      1.8193995471882536,
      1.8194110646718136,
      1.8194220209306304,
      1.819432442869301,
      1.8194423558736057,
      1.819451784599613,
      1.8194607524923605,
      1.8194692817632432,
      1.819477393266915,
      1.8194851072439466,
      1.8194924428945547,
      1.819499418410908,
      1.8195060513156514,
      1.8195123583432695,
      1.819518355220503,
      1.8195240570071751,
      1.8195294779799949,
      1.819534631720438,
      1.8195395313051481,
      1.819544188886446,
      1.8195486164433965,
      1.8195528252109072,
      1.8195568259231647,
      1.819560628599837,
      1.8195642431466033,
      1.8195676786337505,
      1.819570943897589,
      1.8195740473793571,
      1.8195769967611755,
      1.8195797997213758,
      1.8195824633677085,
      1.8195849945355909,
      1.819587399781594,
      1.8195896854278752,
      1.819591857250924,
      1.8195939209846659,
      1.8195958819080007,
      1.8195977447888383,
      1.8195995146423305,
      1.8196011962683425,
      1.8196027938908643,
      1.8196043115607259,
      1.8196057533042769,
      1.8196071231194935,
      1.8196084244635808,
      1.8196096607072578,
      1.8196108352332714,
      1.8196119508229052,
      1.8196130104160757,
      1.8196140169559099,
      1.8196149728773932,
      1.8196158807152427,
      1.8196167428980903,
      1.819617561746066,
      1.8196183394177599,
      1.8196190781623764,
      1.819619779859912,
      1.8196204462735377,
      1.8196210792514114,
      1.8196216804705223,
      1.8196222513843143,
      1.819622793424593,
      1.81962330820363,
      1.8196237969532387,
      1.819624260930314,
      1.8196247013648648,
      1.8196251195096604,
      1.8196255166389463,
      1.8196258937421925,
      1.819626251879037,
      1.8196265918223007,
      1.8196269144641142,
      1.819627220662467,
      1.8196275114437805,
      1.819627787595125,
      1.8196280499685415,
      1.8196282992259503,
      1.8196285358385067,
      1.8196287603913306,
      1.819628973481174,
      1.819629175715841,
      1.8196293674085189,
      1.8196295494928592,
      1.8196297225049252,
      1.819629886887834,
      1.8196300429913566,
      1.8196301910714936,
      1.8196303314428859,
      1.8196304645802197,
      1.8196305910159967,
      1.8196307111366148,
      1.8196308252328819,
      1.8196309336013938,
      1.8196310363408927,
      1.8196311337589446,
      1.819631226168282,
      1.8196313136830522,
      1.8196313965747273,
      1.8196314755768876,
      1.8196315507149432,
      1.8196316220688507,
      1.8196316896713816,
      1.8196317537623705,
      1.819631814585029,
      1.819631872385743,
      1.8196319274138022,
      1.8196319796160367,
      1.819632029043708,
      1.8196320759542337,
      1.8196321208108444,
      1.8196321635702029,
      1.8196322041909905,
      1.819632242633955,
      1.8196322789128114,
      1.819632313297642,
      1.819632346009517,
      1.8196323770168308,
      1.8196324062896208,
      1.8196324337996004,
      1.8196324599270464,
      1.8196324846975662,
      1.8196325080872484,
      1.8196325302260545,
      1.8196325510925917,
      1.8196325707684216,
      1.8196325896413585,
      1.8196326075914648,
      1.8196326241945513,
      1.8196326397397256,
      1.8196326545171009,
      1.819632668512406,
      1.8196326818138424,
      1.8196326946119785,
      1.8196327068944513,
      1.819632718547667,
      1.8196327294586685,
      1.81963273982033,
      1.819632749622643,
      1.8196327588561354,
      1.8196327675118849,
      1.8196327756323898,
      1.8196327835149342,
      1.819632791355335,
      1.8196327991968908,
      1.8196328070320245,
      1.8196328148531646,
      1.8196328226527536,
      1.8196328304232547,
      1.819632837750299,
      1.819632844423364,
      1.8196328504360015,
      1.8196328559858315,
      1.8196328611692123,
      1.819632865981135,
      1.81963287062038,
      1.8196328751841853,
      1.819632879668141,
      1.8196328840679141
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360755519308574,
      11.185228051619905,
      10.998738359200999,
      10.802236296094637,
      10.596792012995872,
      10.383581162306864,
      10.16384155515861,
      9.938972144687627,
      9.710441822875783,
      9.479695696763105,
      9.248148373271597,
      9.017143232775949,
      8.787868184804365,
      8.561325927176814,
      8.338324303905214,
      8.119469926573695,
      7.905161654944454,
      7.695595449070052,
      7.490779141877296,
      7.2905551526007555,
      7.094627960355815,
      6.902591424741985,
      6.713955714688265,
      6.528179297971911,
      6.344696580309565,
      6.1629426665627385,
      5.982370411662949,
      5.802463550809305,
      5.622762511910949,
      5.44287277373808,
      5.26248543899835,
      5.08139584535657,
      4.899513485565971,
      4.716870339576612,
      4.533606003896049,
      4.349955315959221,
      4.166275720151912,
      3.9830443183883513,
      3.8008325615220864,
      3.6202676954868926,
      3.44201617365266,
      3.2667680982446536,
      3.0952153691440207,
      2.92802758523828,
      2.765824733869173,
      2.6091591521374244,
      2.4585027589506154,
      2.3142392934993925,
      2.1766613481984143,
      2.045972422053686,
      1.9222916109894566,
      1.8056603365410147,
      1.6960512767787885,
      1.5933777315097624,
      1.4975036672812418,
      1.4082535427880927,
      1.325421461853297,
      1.2487790976154407,
      1.1780828556876393,
      1.1130801122264262,
      1.05351475478337,
      0.9991312674744632,
      0.949678156118852,
      0.9049124978572044,
      0.8646017977195442,
      0.8285277224960654,
      0.7964872146620618,
      0.7682932519197063,
      0.7437698631968687,
      0.7227448922427606,
      0.7050520572024522,
      0.6905202782779006,
      0.678946016727486,
      0.6700770191427026,
      0.6636419025947426,
      0.6593580019691344,
      0.656952561859622,
      0.6562045049022042,
      0.6569270999061169,
      0.6589521879928173,
      0.6621287370048227,
      0.6663256302551369,
      0.6714320274508527,
      0.677350725434726,
      0.6839955095959285,
      0.6912899990143705,
      0.699164780419399,
      0.7075556691066727,
      0.7164056055504798,
      0.7256641390877266,
      0.7352866136295192,
      0.7452332958088306,
      0.7554674254542486,
      0.7659554033330185,
      0.7766681320235851,
      0.7875805284513085,
      0.7986702016125476,
      0.8099170765605066,
      0.821303186752635,
      0.8328123828198358,
      0.8444300518544743,
      0.8561429228760221,
      0.8679388969144736,
      0.879807197538856,
      0.8917387177032712,
      0.9037252237910824,
      0.9157593793030716,
      0.9278344186673418,
      0.9399439119430343,
      0.9520817195091111,
      0.964241953154392,
      0.9764189422378676,
      0.9886072044669063,
      1.0008018471961753,
      1.0129986020197175,
      1.0251933798393191,
      1.0373818995435342,
      1.0495598001417292,
      1.0617227377118021,
      1.0738663875568633,
      1.085986442740974,
      1.0980786136336376,
      1.11013862861935,
      1.1221622352127998,
      1.1341452019906366,
      1.1460833206805643,
      1.1579724092234538,
      1.1698083151482992,
      1.181586919360479,
      1.1933041397308397,
      1.2049559355489683,
      1.2165383124276772,
      1.2280473269385663,
      1.2394790909174491,
      1.2508298088431622,
      1.2620959782462677,
      1.2732742636221153,
      1.284361351713051,
      1.2953539623241734,
      1.3062488581903589,
      1.3170428543449604,
      1.3277328264171695,
      1.3383157187054868,
      1.3487885520583465,
      1.3591484311320192,
      1.369392550645022,
      1.3795182015673977,
      1.389522776910057,
      1.3994037771849597,
      1.4091588151984136,
      1.418785620245163,
      1.4282822089617841,
      1.4376469079467038,
      1.4468781411470581,
      1.4559744195028828,
      1.464934342768474,
      1.4737565299151532,
      1.4824396497806582,
      1.4909824950425246,
      1.4993839838004197,
      1.5076431612199994,
      1.515759200698634,
      1.5237314040147187,
      1.5315592020083353,
      1.5392421538836114,
      1.5467799468863226,
      1.5541723950597757,
      1.5614194380722912,
      1.5685211392290197,
      1.575477683867777,
      1.582289376949557,
      1.588956640283575,
      1.5954800098791497,
      1.60186013305371,
      1.6080977652838122,
      1.61419376653338,
      1.6201490976087016,
      1.6259648167862146,
      1.6316420754854288,
      1.6371821147109742,
      1.6425862606321764,
      1.6478559208742347,
      1.6529925796377525,
      1.6579977938336685,
      1.6628731887595982,
      1.6676204535740564,
      1.6722413370294424,
      1.6767376433154466,
      1.681111227865119,
      1.6853639926716153,
      1.6894978822921114,
      1.6935148797321582,
      1.6974170024725332,
      1.701206298494235,
      1.704884842005035,
      1.7084547299450303,
      1.7119180784156913,
      1.7152770185334594,
      1.7185336931929194,
      1.7216902539865635,
      1.724748857782478,
      1.727711663631227,
      1.7305808294528497,
      1.7333585094804214,
      1.7360468670675948,
      1.7386481002119245,
      1.7411643968388435,
      1.7435979216968072,
      1.7459508157095947,
      1.7482251942143374,
      1.7504231459254862,
      1.752546731616112,
      1.7545979834405325,
      1.7565789034820898,
      1.7584914632125572,
      1.7603376023446091,
      1.7621192284579859,
      1.7638382161345465,
      1.7654964060157885,
      1.7670956047047945,
      1.7686375842469308,
      1.7701240816526358,
      1.77155679846779,
      1.772937400702292,
      1.7742675184091445,
      1.7755487457328596,
      1.7767826409736065,
      1.7779707265183669,
      1.7791144886430779,
      1.7802153777489604,
      1.7812748086294368,
      1.782294160414632,
      1.7832747772137192,
      1.7842179681352683,
      1.7851250074003684,
      1.7859971351101482,
      1.78683555729692,
      1.7876414465320984,
      1.7884159424317418,
      1.7891601519593885,
      1.789875149985863,
      1.790561979801926,
      1.7912216535342993,
      1.791855153025872,
      1.7924634300617703,
      1.7930474071630866,
      1.7936079780335035,
      1.7941460081683371,
      1.7946623355754212,
      1.7951577712527307,
      1.7956330998297743,
      1.7960890801699996,
      1.79652644603611,
      1.7969459067675448,
      1.797348147665491,
      1.7977338306958075,
      1.7981035954081224,
      1.798458059257547,
      1.7987978180917263,
      1.7991234468036232,
      1.7994354999971407,
      1.7997345127164641,
      1.8000210008828945,
      1.8002954616934206,
      1.8005583744386187,
      1.800810201027706,
      1.8010513862714352,
      1.8012823584311575,
      1.8015035299832902,
      1.8017152979375863,
      1.801918044675111,
      1.8021121379834326,
      1.8022979317639296,
      1.8024757663936402,
      1.8026459691991963,
      1.8028088549407852,
      1.8029647261025585,
      1.803113873396049,
      1.8032565764764454,
      1.8033931038538686,
      1.803523713525685,
      1.8036486534646965,
      1.803768161454394,
      1.803882466153052,
      1.803991786894038,
      1.8040963342057224,
      1.8041963103387997,
      1.8042919092410477,
      1.80438331694593,
      1.8044707122729493,
      1.8045542664154368,
      1.8046341435517688,
      1.8047105013609086,
      1.8047834908824698,
      1.8048532568908962,
      1.80491993827516,
      1.8049836680675209,
      1.8050445740366294,
      1.8051027786243745,
      1.805158398785348,
      1.8052115468483774,
      1.8052623304158821,
      1.805310852419817,
      1.8053572116394894,
      1.8054015025110979,
      1.8054438155003418,
      1.805484237224499,
      1.8055228504760508,
      1.8055597347582526,
      1.805594966162555,
      1.8056286176558438,
      1.8056607588111524,
      1.8056914563549653,
      1.8057207739034233,
      1.8057487724641756,
      1.8057755104828626,
      1.8058010439935197,
      1.8058254265169502,
      1.8058487090122288,
      1.8058709405423585,
      1.8058921677212394,
      1.8059124353833513,
      1.8059317861869166,
      1.8059502610329112,
      1.805967899078782,
      1.8059847379062197,
      1.8060008132326695,
      1.806016159285711,
      1.8060308088735777,
      1.8060447933553179,
      1.8060581425613997,
      1.806070885122484,
      1.8060830481382169,
      1.8060946577119876,
      1.8061057387745485,
      1.8061163150103758,
      1.806126409192163,
      1.8061360431599893,
      1.8061452376488298,
      1.8061540127273288,
      1.8061623872710157,
      1.8061703794535255,
      1.8061780064757944,
      1.8061852850588915,
      1.806192230971088,
      1.8061988590642561,
      1.8062051838706203,
      1.8062112191317776,
      1.806216977989523,
      1.8062224731265237,
      1.8062277165003349,
      1.8062327196376593,
      1.8062374935220995,
      1.8062420485841173,
      1.8062463947931868,
      1.8062505413944328,
      1.8062544976630595,
      1.8062582723363783,
      1.8062618734532878,
      1.8062653090588994,
      1.8062685867395094,
      1.8062717137173205,
      1.8062746969456036,
      1.8062775430005669,
      1.8062802578211241,
      1.8062828474153916,
      1.8062853177535485,
      1.8062876745588896,
      1.8062899227431852,
      1.8062920673176222,
      1.806294113133925,
      1.8062960648290887,
      1.8062979267193724,
      1.806299702847204,
      1.8063013970792499,
      1.8063030132554245,
      1.8063045550327743,
      1.806306025780467,
      1.8063074287292653,
      1.8063087668668214,
      1.8063100430366839,
      1.806311260240855,
      1.8063124211284487,
      1.8063135284001308,
      1.80631458444966,
      1.8063155918702143,
      1.8063165529435385,
      1.8063174696377975,
      1.8063183441143154,
      1.8063191780645227,
      1.8063199734712276,
      1.8063207324542048,
      1.8063214562512155,
      1.8063221464372994,
      1.8063228047200244,
      1.8063234327344195,
      1.80632403163467,
      1.8063246027033264,
      1.8063251472484214,
      1.8063256662971352,
      1.8063261612051094,
      1.8063266331466805,
      1.806327083113782,
      1.806327512220169,
      1.8063279214969747,
      1.806328311993497,
      1.8063286844711066,
      1.8063290397076148,
      1.8063293783949324,
      1.8063297014435575,
      1.8063300098800217,
      1.8063303041339103,
      1.8063305845461162,
      1.8063308517753467,
      1.806331106594055,
      1.8063313494809592,
      1.8063315809256828,
      1.8063318013774912,
      1.8063320116516484,
      1.8063322122168117,
      1.8063324036013562,
      1.806332586240345,
      1.8063327604242811,
      1.8063329266039465,
      1.8063330849832089,
      1.8063332359256312,
      1.8063333799033074,
      1.8063335170895716,
      1.8063336477656822,
      1.8063337723205606,
      1.806333891047039,
      1.8063340044467058,
      1.8063341128225803,
      1.806334216075435,
      1.806334314314176,
      1.8063344078556967,
      1.8063344968177841,
      1.806334581830994,
      1.806334663122647,
      1.8063347407708763,
      1.8063348149080447,
      1.8063348857205381,
      1.80633495314352,
      1.8063350173187045,
      1.8063350785941754,
      1.8063351370155583,
      1.8063351927327822,
      1.8063352459999893,
      1.8063352969718243,
      1.8063353454999198,
      1.80633539174326,
      1.8063354356595056,
      1.806335477411875,
      1.8063355172672897,
      1.8063355550875457,
      1.8063355911431536,
      1.8063356256045409,
      1.8063356584401526,
      1.8063356896199225,
      1.8063357192170257,
      1.8063357474077844,
      1.8063357741663892,
      1.8063357994683384,
      1.8063358234938949,
      1.8063358463227805,
      1.806335867934092,
      1.8063358883080403,
      1.80633590742597,
      1.8063359255755316,
      1.806335943045251,
      1.8063359598191358,
      1.8063359760852575,
      1.8063359919304436,
      1.8063360071367538,
      1.806336021588543,
      1.8063360354760092,
      1.8063360488881577,
      1.8063360618127071,
      1.8063360742378232,
      1.8063360861521285,
      1.8063360975447136,
      1.8063361084051466,
      1.806336118723483,
      1.8063361284902748,
      1.8063361376965787,
      1.806336146333965
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360723592291343,
      11.185129094711609,
      10.998549767674803,
      10.80194669433984,
      10.596407217907743,
      10.383117792173346,
      10.16332622349649,
      9.938437266719802,
      9.709922064426625,
      9.479229925248136,
      9.247779150361575,
      9.016908460406254,
      8.787799910264466,
      8.561450817569046,
      8.338667473500825,
      8.120054882175026,
      7.906010359288876,
      7.696728512612029,
      7.492216148571474,
      7.292315190623673,
      7.096730063888947,
      6.905055137400556,
      6.716801419150859,
      6.531428401671769,
      6.348371633250933,
      6.167067343241442,
      5.9869700155423,
      5.807564700020434,
      5.628392330865489,
      5.4490586253686315,
      5.269253344643429,
      5.088769589212711,
      4.9075136436484055,
      4.7255137884534495,
      4.542906282805464,
      4.359919395281727,
      4.176902236470561,
      3.994323788898327,
      3.8127493980271154,
      3.632801152701614,
      3.4551396579811593,
      3.280450259119411,
      3.1094206709234204,
      2.942718274763675,
      2.780962793993548,
      2.6247077831496544,
      2.474427711256952,
      2.330509982276528,
      2.1932518038838107,
      2.062862135560879,
      1.9394656662911032,
      1.8231094562983052,
      1.7137715490393226,
      1.6113703715781398,
      1.5157746743901486,
      1.4268132655825332,
      1.3442841162282986,
      1.2679622649217586,
      1.1976070597769837,
      1.132968480799474,
      1.07379265751726,
      1.0198259251083994,
      0.9708194677483043,
      0.9265327467958537,
      0.8867360875566329,
      0.8512138318756096,
      0.8197666230935229,
      0.7922094982112402,
      0.7683650883775824,
      0.7480590104274968,
      0.7311200189491808,
      0.7173558322670754,
      0.7065225127207102,
      0.6983391004379247,
      0.6925172904483576,
      0.6887604594999434,
      0.6868137039679012,
      0.6864692985119857,
      0.6875422522169253,
      0.6898666303039452,
      0.6932970650797238,
      0.6977103778121846,
      0.7029996721855807,
      0.709070173783316,
      0.7158378283166592,
      0.7232274381613777,
      0.7311693291934899,
      0.7396008134769001,
      0.7484665584584379,
      0.7577176232331999,
      0.7673092212473744,
      0.77720048947755,
      0.7873553283889856,
      0.7977423379981358,
      0.8083345552433217,
      0.8191080532978312,
      0.8300414292300214,
      0.8411154880022942,
      0.8523129655640564,
      0.8636182866571454,
      0.8750173524039165,
      0.8864973858583194,
      0.8980474419570306,
      0.9096583553247694,
      0.9213218537179457,
      0.9330302087239383,
      0.9447761664194171,
      0.956552886754798,
      0.9683538903145082,
      0.9801730122380609,
      0.9920043624486325,
      1.003842293086026,
      1.015681872790128,
      1.027518757129198,
      1.039348560653698,
      1.0511669526767602,
      1.0629696215780438,
      1.074752269579878,
      1.0865106444057553,
      1.0982405382822407,
      1.1099377857754218,
      1.121598261877882,
      1.1332178822717993,
      1.1447926030665505,
      1.1563184217851246,
      1.16779137872738,
      1.1792075595684532,
      1.190563097607905,
      1.2018541763219557,
      1.213077032767617,
      1.2242279608103521,
      1.23530331482337,
      1.2462995136910906,
      1.2572130446944887,
      1.2680404674124794,
      1.2787784174164154,
      1.2894237273374707,
      1.299973492836462,
      1.3104248799341995,
      1.3207751026567456,
      1.3310214317479023,
      1.341161202138541,
      1.3511918200196011,
      1.361110769905639,
      1.370915620394809,
      1.3806040303304132,
      1.3901737534560128,
      1.3996226433168177,
      1.4089486577680945,
      1.4181499130084674,
      1.4272248667530405,
      1.436172142631812,
      1.44499043784901,
      1.4536785295173003,
      1.4622352744074791,
      1.4706595404924392,
      1.4789502406329653,
      1.4871064009581683,
      1.4951271624707707,
      1.5030117821287634,
      1.5107596332753868,
      1.5183702058499704,
      1.5258431063551692,
      1.5331780572012315,
      1.5403748957609806,
      1.547433573571993,
      1.5543541542419506,
      1.561136812123716,
      1.5677818306238112,
      1.5742895993652952,
      1.5806606118179258,
      1.58689546272109,
      1.5929948455927525,
      1.598959549245721,
      1.6047904544718796,
      1.6104885312425452,
      1.6160548349433823,
      1.6214905028592332,
      1.6267967505996874,
      1.631974868411559,
      1.6370262172748296,
      1.6419522251883287,
      1.646754383085914,
      1.651434241300143,
      1.6559934057108605,
      1.6604335337852358,
      1.6647563308182356,
      1.668963545615223,
      1.673056967351297,
      1.677038421731152,
      1.6809097669644382,
      1.6846728904791473,
      1.6883297055154034,
      1.691882147251334,
      1.6953321699439976,
      1.698681743313299,
      1.7019328494488501,
      1.7050874796380866,
      1.7081476319889317,
      1.7111153078211352,
      1.7139925094291837,
      1.716781237292814,
      1.7194834877103167,
      1.7221012544744037,
      1.7246365599751032,
      1.7270914346484754,
      1.729467887154762,
      1.7317679026923802,
      1.7339934426534436,
      1.7361464432885345,
      1.7382288147108453,
      1.74024244029808,
      1.7421891759393398,
      1.7440708491338945,
      1.745889258152133,
      1.7476461717732499,
      1.7493433285379907,
      1.7509824361830653,
      1.7525651711614512,
      1.7540931784570455,
      1.7555680711902233,
      1.7569914305275944,
      1.758364805035871,
      1.7596897109084568,
      1.7609676316954557,
      1.7622000183038906,
      1.763388289170094,
      1.7645338299464126,
      1.7656379938754319,
      1.7667021020916813,
      1.7677274432941057,
      1.7687152741655163,
      1.7696668199309538,
      1.770583273938347,
      1.771465798705165,
      1.77231552604221,
      1.7731335570194684,
      1.7739209630474277,
      1.7746787856847466,
      1.7754080372590015,
      1.7761097012848939,
      1.7767847330370239,
      1.7774340601256229,
      1.7780585829744409,
      1.7786591751001344,
      1.7792366837025868,
      1.7797919302108849,
      1.7803257106329722,
      1.7808387966251982,
      1.781331935603486,
      1.7818058513209212,
      1.7822612444035415,
      1.782698792844649,
      1.783119152610604,
      1.7835229583580845,
      1.7839108237546002,
      1.784283342063389,
      1.784641086840255,
      1.7849846123357058,
      1.7853144541615171,
      1.7856311291030964,
      1.7859351363157976,
      1.7862269579211374,
      1.7865070590536305,
      1.786775888731672,
      1.7870338800263783,
      1.7872814506473904,
      1.787519003589231,
      1.7877469272279303,
      1.7879655959358416,
      1.7881753706549606,
      1.7883765993268694,
      1.788569616924579,
      1.78875474615468,
      1.7889322979138589,
      1.7891025714993625,
      1.7892658552347573,
      1.78942242644249,
      1.7895725522381043,
      1.7897164894166346,
      1.7898544854655052,
      1.7899867783129102,
      1.7901135968970696,
      1.7902351613864473,
      1.7903516833047777,
      1.7904633662222218,
      1.7905704059441365,
      1.79067299045151,
      1.790771300559557,
      1.7908655102258337,
      1.7909557863552574,
      1.7910422892718618,
      1.7911251732465363,
      1.791204586622846,
      1.791280671540631,
      1.7913535647326595,
      1.7914233973084663,
      1.791490295305601,
      1.7915543794821087,
      1.7916157661304526,
      1.7916745668271588,
      1.7917308884913192,
      1.791784833803025,
      1.7918365013709212,
      1.7918859859031673,
      1.7919333781781739,
      1.7919787652219819,
      1.7920222305396287,
      1.7920638542986789,
      1.7921037134644975,
      1.7921418817857715,
      1.7921784301894037,
      1.7922134263134197,
      1.7922469351613293,
      1.7922790191484141,
      1.7923097380993862,
      1.7923391495533931,
      1.7923673084605312,
      1.7923942675418156,
      1.792420077396669,
      1.792444786612256,
      1.792468441518483,
      1.7924910867077621,
      1.7925127646916639,
      1.7925335164240142,
      1.7925533811131775,
      1.7925723963917937,
      1.7925905981321206,
      1.7926080208219317,
      1.7926246976875986,
      1.7926406603603742,
      1.7926559390526804,
      1.7926705630407114,
      1.7926845601307553,
      1.792697957092947,
      1.7927107794348598,
      1.7927230514812724,
      1.7927347968110172,
      1.7927460380840055,
      1.7927567965132691,
      1.7927670926095136,
      1.7927769462143262,
      1.7927863762796803,
      1.7927954008006997,
      1.7928040371053986,
      1.792812301890522,
      1.7928202108511844,
      1.7928277794811107,
      1.7928350224997955,
      1.792841953789003,
      1.7928485867875634,
      1.7928549338187805,
      1.7928610074528284,
      1.7928668193262887,
      1.7928723805897526,
      1.7928777020000115,
      1.7928827940632392,
      1.7928876665682665,
      1.7928923287307577,
      1.792896789693713,
      1.7929010583162284,
      1.792905142708145,
      1.7929090509350185,
      1.7929127907568831,
      1.7929163690112382,
      1.7929197923191622,
      1.792923067740789,
      1.7929262017520096,
      1.7929292003406194,
      1.792932069407998,
      1.7929348146114341,
      1.792937441257537,
      1.7929399543993705,
      1.7929423589337627,
      1.792944659444583,
      1.7929468604021306,
      1.792948966261034,
      1.7929509812021232,
      1.7929529089762615,
      1.7929547534604446,
      1.7929565182476923,
      1.7929582067455772,
      1.7929598222750793,
      1.7929613677624856,
      1.7929628462455094,
      1.7929642607180518,
      1.7929656139242158,
      1.7929669085084963,
      1.7929681470642953,
      1.792969332030047,
      1.7929704656871028,
      1.7929715502085677,
      1.792972587708306,
      1.79297358044254,
      1.7929745300959172,
      1.792975438695451,
      1.7929763078967784,
      1.7929771393895833,
      1.792977934743628,
      1.792978695712441,
      1.792979423672432,
      1.7929801199268534,
      1.7929807860606235,
      1.7929814233795631,
      1.7929820330109516,
      1.7929826161060207,
      1.7929831738389528,
      1.7929837074567319,
      1.7929842181254478,
      1.792984706624172,
      1.7929851738528468,
      1.7929856207298276,
      1.7929860481910724,
      1.792986457290994,
      1.7929868486930594,
      1.7929872232794704,
      1.7929875818452166,
      1.7929879246905758,
      1.7929882525362568,
      1.7929885660142895,
      1.7929888660741993,
      1.7929891532703264,
      1.7929894281680452,
      1.7929896910891168,
      1.7929899424164948,
      1.792990182594031,
      1.7929904120243625,
      1.7929906312719956,
      1.7929908408085238,
      1.792991041368213,
      1.7929912331845388,
      1.7929914166002028,
      1.7929915921686468,
      1.7929917600432332,
      1.7929919206890943,
      1.7929920745776347,
      1.7929922218809589,
      1.7929923629294167,
      1.7929924979062115,
      1.7929926268472087,
      1.7929927500477727,
      1.7929928679099643,
      1.7929929807387455,
      1.7929930887417094,
      1.7929931919271895,
      1.792993290511121,
      1.7929933847134063,
      1.7929934746560448,
      1.792993560769821,
      1.792993643132873,
      1.7929937219282668,
      1.7929937971895906,
      1.7929938690552216,
      1.7929939376664545,
      1.7929940035742407,
      1.792994066925041,
      1.7929941277149397,
      1.7929941861965155,
      1.7929942423700482,
      1.7929942961869838,
      1.7929943478042232,
      1.7929943971771338,
      1.792994444364749,
      1.7929944894788248,
      1.792994532785498,
      1.7929945742981992,
      1.792994613981033,
      1.7929946517996864,
      1.7929946879249083,
      1.7929947223254472,
      1.7929947551749859,
      1.7929947867502882,
      1.792994817125751,
      1.79299484627512,
      1.792994874274908,
      1.7929949011009039,
      1.7929949267299117,
      1.79299495113977,
      1.7929949743093723,
      1.7929949964221161,
      1.7929950179166152,
      1.7929950390285747,
      1.7929950591294463,
      1.7929950783035487,
      1.7929950967377455,
      1.792995114517822
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360691662428806,
      11.185030108101921,
      10.99836104667832,
      10.801656291321295,
      10.596019998431892,
      10.382648810968828,
      10.162800378470344,
      9.937884233120059,
      9.709373251275576,
      9.478720880458553,
      9.247349566399475,
      9.016593374813638,
      8.78762713044843,
      8.561445002989132,
      8.338851901836106,
      8.120451337556124,
      7.906639150867186,
      7.697608594879069,
      7.493365456664013,
      7.293751099385534,
      7.098469798796162,
      6.907116309338738,
      6.719202343482667,
      6.534188293334951,
      6.351510748655876,
      6.1706070005551865,
      5.990933095934832,
      5.8119753933576055,
      5.633275379624519,
      5.45443906609522,
      5.2751552163442605,
      5.0952151510902,
      4.9145225174884635,
      4.733102295202386,
      4.5510878529984655,
      4.368702322056313,
      4.186287019749044,
      4.0043037540446775,
      3.82331219489263,
      3.6439295608844855,
      3.4668113339881153,
      3.2926385019050586,
      3.122094838348788,
      2.9558455342423025,
      2.79450986878939,
      2.6386422655332082,
      2.4887192540057796,
      2.345131306766447,
      2.2081796688553106,
      2.07807803769986,
      1.9549558987586277,
      1.838865243721975,
      1.7297888261944667,
      1.6276495937975122,
      1.5323205307377954,
      1.4436343053697516,
      1.3613922746405818,
      1.2853724880001567,
      1.2153369724757261,
      1.1510380362133292,
      1.092223814078633,
      1.0386426685361152,
      0.9900484846219946,
      0.9462026367347159,
      0.9068781733884564,
      0.8718623810038257,
      0.8409590428322298,
      0.8139839987002022,
      0.7907575060782133,
      0.7711032039846111,
      0.7548391123471987,
      0.7417427930867492,
      0.7315358376998559,
      0.7239206631861402,
      0.7185895234090603,
      0.7152492479695626,
      0.7136632200335388,
      0.7136276420866603,
      0.7149601235305266,
      0.7174989720113397,
      0.7211057797256509,
      0.7256625029134168,
      0.7310646613506167,
      0.7372196415449142,
      0.7440453310358727,
      0.7514668779747571,
      0.7594154594244118,
      0.7678301531428092,
      0.7766563935400616,
      0.7858441621096514,
      0.795349024120653,
      0.8051317847172267,
      0.8151580222072817,
      0.8253982492279267,
      0.8358266246721031,
      0.8464200860869981,
      0.8571580027912207,
      0.8680218716483697,
      0.8789950508966335,
      0.8900625271898027,
      0.9012110059842594,
      0.9124294962336201,
      0.9237083713075992,
      0.9350387355788444,
      0.9464123329625788,
      0.9578214668537478,
      0.9692589302522774,
      0.9807179448877469,
      0.9921921081854297,
      1.0036753469403508,
      1.0151618734863597,
      1.0266464260844932,
      1.0381244383901849,
      1.0495915252483556,
      1.0610433865522955,
      1.0724757981209871,
      1.083884597467703,
      1.0952656496182696,
      1.1066148682101284,
      1.1179282295827508,
      1.129201769860117,
      1.1404315825101232,
      1.1516138174352177,
      1.1627446804616017,
      1.1738204337745615,
      1.1848373962183794,
      1.1957919449739947,
      1.2066805171764574,
      1.2174996117126042,
      1.228245792098999,
      1.2389156887458692,
      1.249506002014229,
      1.2600135048269356,
      1.2704350459330438,
      1.2807675532965412,
      1.2910080367737689,
      1.301153591683677,
      1.311201401924838,
      1.3211487662648573,
      1.3309932374342488,
      1.3407325280047497,
      1.350364411163971,
      1.3598867274499808,
      1.3692973907059944,
      1.3785943939991898,
      1.387775814617842,
      1.3968398186323556,
      1.4057846652505916,
      1.4146087887125913,
      1.4233109445865644,
      1.4318900027220287,
      1.4403448971522808,
      1.4486746317521328,
      1.4568782854315008,
      1.4649549789032663,
      1.4729038340157024,
      1.4807240570093767,
      1.4884149581741817,
      1.4959759525058924,
      1.5034065601082136,
      1.5107064063697722,
      1.5178752213358762,
      1.5249128394250728,
      1.5318191980982867,
      1.5385943370902513,
      1.5452383967622856,
      1.5517516166795704,
      1.5581343335336912,
      1.564386978854708,
      1.57051007680558,
      1.5765042418952684,
      1.5823701764479636,
      1.5881086672601379,
      1.5937205832179882,
      1.5992068722411377,
      1.60456855790322,
      1.6098067364371003,
      1.6149225733076193,
      1.6199172998582172,
      1.6247922100300833,
      1.6295486570008217,
      1.6341880496413321,
      1.6387118491989978,
      1.6431215656498335,
      1.6474187543833738,
      1.6516050128169302,
      1.655681976993969,
      1.6596513181711867,
      1.663514739450193,
      1.6672739727137074,
      1.6709307754142915,
      1.6744869272727723,
      1.6779442272491258,
      1.681304490945087,
      1.6845695475300437,
      1.6877412367060836,
      1.6908214061774631,
      1.6938119091741053,
      1.6967146013247687,
      1.6995313391254074,
      1.70226397746703,
      1.7049143666885438,
      1.707484351247565,
      1.7099757741873047,
      1.712390506220046,
      1.7147304178400113,
      1.7169973576518756,
      1.7191931516831227,
      1.7213196024277173,
      1.7233784882379033,
      1.725371562562069,
      1.7273005534926662,
      1.7291671629688878,
      1.7309730661995542,
      1.7327199111082066,
      1.7344093181112215,
      1.7360428797759366,
      1.7376221603639757,
      1.7391486951624517,
      1.7406239904218905,
      1.7420495233453779,
      1.7434267418786684,
      1.7447570643559638,
      1.7460418795138524,
      1.7472825465716566,
      1.7484803953305854,
      1.7496367257861656,
      1.7507528085285717,
      1.7518298846620861,
      1.7528691663144027,
      1.7538718364156185,
      1.7548390491735748,
      1.7557719297726708,
      1.7566715755869948,
      1.7575390558577435,
      1.7583754120745727,
      1.759181658045637,
      1.7599587808273758,
      1.7607077408369969,
      1.7614294720643753,
      1.7621248826391835,
      1.762794855397955,
      1.7634402481470262,
      1.7640618938257353,
      1.7646606015880348,
      1.76523715666683,
      1.7657923211581248,
      1.7663268345048946,
      1.7668414138336241,
      1.7673367543983962,
      1.7678135303365767,
      1.7682723946681267,
      1.768713980319188,
      1.7691389000340154,
      1.7695477472099825,
      1.7699410963334394,
      1.7703195033726162,
      1.7706835064328512,
      1.7710336256570034,
      1.7713703647617978,
      1.7716942103442601,
      1.7720056330784832,
      1.7723050879542355,
      1.7725930144729058,
      1.7728698373095482,
      1.7731359668813758,
      1.7733917992631536,
      1.7736377169752273,
      1.773874089322025,
      1.7741012728399341,
      1.7743196119054379,
      1.77452943868957,
      1.7747310734251023,
      1.7749248252406682,
      1.7751109920357762,
      1.775289861481744,
      1.7754617107580135,
      1.775626806905625,
      1.7757854075942727,
      1.775937761081997,
      1.7760841065372004,
      1.7762246745703967,
      1.776359687263158,
      1.7764893585082508,
      1.776613894355447,
      1.7767334934137393,
      1.7768483466484875,
      1.7769586380995235,
      1.7770645449939595,
      1.7771662378638489,
      1.7772638808721384,
      1.7773576319907292,
      1.7774476432847701,
      1.777534061048776,
      1.7776170262011948,
      1.7776966742254032,
      1.777773135216354,
      1.7778465345414838,
      1.7779169926408822,
      1.777984625644627,
      1.7780495450271128,
      1.778111858027906,
      1.7781716677705413,
      1.7782290731811408,
      1.7782841693679299,
      1.7783370481053344,
      1.7783877973544804,
      1.7784365019562038,
      1.778483243055154,
      1.7785280988489338,
      1.7785711446276686,
      1.7786124524597788,
      1.7786520917956774,
      1.7786901293614374,
      1.7787266291055917,
      1.7787616526057661,
      1.7787952590193756,
      1.7788275049346511,
      1.7788584449355889,
      1.778888131659948,
      1.7789166153501668,
      1.778943944270784,
      1.778970164873202,
      1.7789953218600036,
      1.779019457843918,
      1.7790426139239164,
      1.7790648295503764,
      1.77908614274765,
      1.779106589880027,
      1.7791262057750208,
      1.7791450241021953,
      1.779163077244303,
      1.7791803959151251,
      1.7791970098976495,
      1.7792129478165404,
      1.779228236911632,
      1.779242903473623,
      1.779256972772096,
      1.7792704689841528,
      1.779283415174871,
      1.7792958338889961,
      1.7793077464206974,
      1.7793191732540328,
      1.7793301340464551,
      1.7793406478671665,
      1.7793507327239497,
      1.7793604060571577,
      1.7793696846239238,
      1.7793785844845655,
      1.779387121040424,
      1.7793953091231332,
      1.779403162830055,
      1.7794106956145028,
      1.7794179205291794,
      1.7794248502156182,
      1.779431496843022,
      1.7794378717932784,
      1.7794439861603164,
      1.7794498505885015,
      1.7794554752640537,
      1.7794608701610506,
      1.779466044626507,
      1.7794710076269937,
      1.77947576748713,
      1.7794803326457214,
      1.7794847109877399,
      1.77948890999047,
      1.7794929369209218,
      1.7794967989824677,
      1.7795005030547022,
      1.7795040555861863,
      1.7795074627926035,
      1.7795107305500046,
      1.7795138645934732,
      1.7795168706141478,
      1.7795197536443665,
      1.7795225186638546,
      1.7795251705448039,
      1.7795277138444816,
      1.779530152954141,
      1.7795324921971165,
      1.7795347355711058,
      1.7795368871008013,
      1.7795389504787509,
      1.7795409293165605,
      1.7795428270910867,
      1.7795446470399725,
      1.779546392413253,
      1.7795480663690422,
      1.7795496718183352,
      1.7795512113209504,
      1.7795526874903418,
      1.7795541031948539,
      1.7795554609960076,
      1.7795567633498146,
      1.7795580124013572,
      1.7795592101864683,
      1.7795603586809527,
      1.7795614601041363,
      1.779562516408453,
      1.7795635292778642,
      1.7795645004316665,
      1.7795654317247562,
      1.779566324637613,
      1.7795671809870488,
      1.7795680024161977,
      1.7795687902914235,
      1.7795695458029341,
      1.7795702704724132,
      1.7795709656431804,
      1.779571632377384,
      1.7795722716077431,
      1.7795728846453254,
      1.7795734725173604,
      1.7795740361697963,
      1.779574576670036,
      1.7795750950025706,
      1.7795755920173546,
      1.7795760687342421,
      1.7795765259861565,
      1.7795769644184278,
      1.7795773848951133,
      1.7795777880914423,
      1.7795781747984085,
      1.7795785456169786,
      1.7795789013644836,
      1.7795792426670776,
      1.7795795699592079,
      1.7795798837884442,
      1.7795801848150237,
      1.7795804735061613,
      1.7795807503390904,
      1.7795810159024161,
      1.779581270387053,
      1.7795815143997782,
      1.7795817484541663,
      1.7795819729701656,
      1.7795821883755127,
      1.7795823952070304,
      1.7795825934999605,
      1.7795827836016196,
      1.7795829658660034,
      1.7795831407551688,
      1.779583308330335,
      1.7795834688620924,
      1.7795836227284645,
      1.7795837702111803,
      1.7795839115971779,
      1.7795840470766178,
      1.779584176641045,
      1.779584300795379,
      1.7795844197438193,
      1.7795845337456229,
      1.7795846428098123,
      1.7795847474071276,
      1.7795848479610958,
      1.7795849445933674,
      1.7795850373270805,
      1.7795851264936753,
      1.7795852121223585,
      1.7795852942452144,
      1.779585373100587,
      1.7795854487260936,
      1.7795855213653695,
      1.7795855910610492,
      1.7795856579598863,
      1.7795857223126275,
      1.7795857841686566,
      1.7795858434776668,
      1.7795859002422847,
      1.7795859544163304,
      1.779586006311762,
      1.7795860560898165,
      1.7795861037100098,
      1.7795861491336127,
      1.7795861923236822,
      1.7795862335502506,
      1.7795862732883698,
      1.7795863114548824,
      1.7795863481713081,
      1.7795863834077892,
      1.7795864171356677,
      1.7795864493275126,
      1.779586480058868,
      1.7795865095081664,
      1.7795865376514601
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360659649450316,
      11.18493084580749,
      10.998171747936876,
      10.80136450576901,
      10.595629304007112,
      10.382172856241306,
      10.162262426481963,
      9.937311748608593,
      9.708795464856415,
      9.478170955278552,
      9.246864139242133,
      9.016204698787055,
      8.787361148018629,
      8.561324831340091,
      8.338899408709896,
      8.120686980517016,
      7.907081959465107,
      7.6982762360978185,
      7.494274572633248,
      7.294917712045534,
      7.099909698406207,
      6.908845569987957,
      6.721237634672676,
      6.5365470823918015,
      6.354211463135779,
      6.173669079690035,
      5.9943774943944295,
      5.815824376105901,
      5.637551805544211,
      5.459166135949947,
      5.280355413060094,
      5.100909548421908,
      4.9207300130147225,
      4.739839034408592,
      4.558367432708782,
      4.37653375134659,
      4.194672619176997,
      4.0132394123016715,
      3.832788316146864,
      3.65393188346386,
      3.477320921050086,
      3.3036323814412407,
      3.133546295479619,
      2.967725688587834,
      2.8067892548391002,
      2.651292009592943,
      2.5017121529668644,
      2.358442750626501,
      2.221788671991277,
      2.091967657703271,
      1.9691134713794758,
      1.8532824152853207,
      1.7444614288544829,
      1.6425774954465298,
      1.5475073936451778,
      1.4590872414115699,
      1.377121427468547,
      1.3013907623717753,
      1.231659697575689,
      1.1676826514109693,
      1.1092095775358883,
      1.0559912139090786,
      1.0077836300116694,
      0.9643501094436837,
      0.9254662089897222,
      0.8909223168747138,
      0.8605242848315249,
      0.8340878801605104,
      0.8114310945559211,
      0.7923740974311433,
      0.7767163337851938,
      0.764201965139022,
      0.7545281329133351,
      0.7473834510526126,
      0.7424477615870947,
      0.7394424686960942,
      0.7381399240913807,
      0.7383397060309187,
      0.7398629728060795,
      0.7425533327293434,
      0.7462785727757569,
      0.7509232423747065,
      0.7563850600312867,
      0.76257339803266,
      0.7694074956767969,
      0.7768129048790705,
      0.7847223283699991,
      0.7930748388799425,
      0.8018152122091009,
      0.8108948514226313,
      0.820270957816487,
      0.8299057898638714,
      0.8397666080174248,
      0.8498252687314278,
      0.8600568178710964,
      0.8704389897703783,
      0.8809518713354136,
      0.8915776233288963,
      0.9023005170244326,
      0.9131067112214304,
      0.9239843829227536,
      0.9349231635267996,
      0.9459135267366005,
      0.956946684363924,
      0.9680144955713786,
      0.9791093871906739,
      0.9902242837936461,
      1.0013525477016398,
      1.012487925689399,
      1.0236243976713457,
      1.0347563440651706,
      1.045878933957121,
      1.056987807766856,
      1.0680787179181614,
      1.079147517361897,
      1.0901901501144948,
      1.101202643332086,
      1.112181099826347,
      1.1231216661208296,
      1.1340205375339196,
      1.1448739814707187,
      1.155678335403409,
      1.1664300050113263,
      1.1771254629706556,
      1.187761248325465,
      1.1983339665750672,
      1.2088402907153855,
      1.2192769618945047,
      1.2296407907836828,
      1.2399286596969201,
      1.2501375241684731,
      1.2602644148338846,
      1.270306440000794,
      1.2802607876170982,
      1.2901247279371788,
      1.2998956158462822,
      1.3095708930739551,
      1.319148090882765,
      1.3286248320884497,
      1.3379988334033786,
      1.347267907415918,
      1.3564299646876536,
      1.3654830384230408,
      1.3744253879165256,
      1.3832554108109951,
      1.3919715778095876,
      1.4005724371104835,
      1.4090566752651503,
      1.4174232849488617,
      1.425671372634336,
      1.4338000954135748,
      1.4418086674267563,
      1.449696365288626,
      1.4574625323971382,
      1.4651065389271538,
      1.4726277538822352,
      1.4800256252728348,
      1.4872996945815733,
      1.4944495970337224,
      1.5014750618959114,
      1.508375911870234,
      1.5151520627876236,
      1.5218035226689963,
      1.5283303907494181,
      1.5347328561966667,
      1.5410111966126407,
      1.5471657762543167,
      1.5531970442171463,
      1.5591055322144027,
      1.564891852299089,
      1.570556694875969,
      1.5761008257247107,
      1.5815250838586825,
      1.5868303784336755,
      1.592017686227823,
      1.597088048570043,
      1.6020425685279922,
      1.606882408150099,
      1.6116087852010297,
      1.6162229703056912,
      1.6207262834340455,
      1.625120091355376,
      1.6294058041817632,
      1.6335848725798516,
      1.6376587849416404,
      1.6416290638564677,
      1.645497263413925,
      1.649264966223129,
      1.6529337806615414,
      1.656505337798939,
      1.6599812889683039,
      1.6633633028193233,
      1.6666530627251603,
      1.669852264243255,
      1.6729626124330415,
      1.6759858197998494,
      1.6789236038541355,
      1.68177768480126,
      1.6845497834699663,
      1.6872416190794615,
      1.6898549075127376,
      1.6923913592889273,
      1.694852677698914,
      1.6972405575685379,
      1.699556714052785,
      1.7018028745187737,
      1.7039807448695279,
      1.706092009021283,
      1.7081383283294946,
      1.7101213410706122,
      1.7120426618836324,
      1.7139038813801235,
      1.7157065656227553,
      1.7174522557824967,
      1.7191424676232823,
      1.7207786915307324,
      1.7223623920213278,
      1.7238950073464805,
      1.7253779495516635,
      1.7268126041808611,
      1.7282003299348372,
      1.7295424588974846,
      1.7308402963669574,
      1.7320951204474726,
      1.7333081825746819,
      1.7344807073499222,
      1.7356138924996183,
      1.7367089090644292,
      1.7377669015152024,
      1.7387889878998877,
      1.739776260074231,
      1.7407297838658693,
      1.7416505991227713,
      1.7425397202073374,
      1.7433981362257522,
      1.7442268111466264,
      1.7450266842173852,
      1.7457986704764228,
      1.7465436607513987,
      1.7472625221119737,
      1.7479560983705895,
      1.748625210174791,
      1.7492706558617106,
      1.7498932112954644,
      1.7504936303666123,
      1.7510726457985446,
      1.751630969142219,
      1.752169291434931,
      1.7526882837097324,
      1.7531885971018175,
      1.7536708659600087,
      1.754135716961774,
      1.754583759662477,
      1.7550155829478067,
      1.755431756172631,
      1.7558328295441106,
      1.7562193346645545,
      1.7565917850816462,
      1.7569506771003145,
      1.7572964903475359,
      1.7576296880392759,
      1.7579507179666585,
      1.7582600124212124,
      1.7585579889412215,
      1.7588450509123905,
      1.7591215879214719,
      1.75938797611658,
      1.7596445789305506,
      1.7598917470988291,
      1.7601298192944148,
      1.7603591225150843,
      1.7605799725278746,
      1.760792674116341,
      1.7609975212323472,
      1.7611947979677818,
      1.7613847783114092,
      1.7615677266236422,
      1.7617438979136089,
      1.761913538528739,
      1.7620768860358764,
      1.7622341694128134,
      1.7623856097539208,
      1.762531420421125,
      1.7626718072505765,
      1.762806968509889,
      1.7629370958773418,
      1.7630623737470918,
      1.763182980064665,
      1.7632990863531797,
      1.7634108579979255,
      1.7635184546876292,
      1.7636220304018053,
      1.7637217331984723,
      1.7638177060737852,
      1.7639100867572859,
      1.7639990081208479,
      1.764084598133344,
      1.7641669802762572,
      1.764246273403042,
      1.7643225917034548,
      1.7643960455864338,
      1.7644667414468767,
      1.7645347818419599,
      1.764600265365134,
      1.7646632873873844,
      1.7647239395293597,
      1.7647823102042335,
      1.7648384845524685,
      1.764892544531494,
      1.76494456895686,
      1.7649946339015892,
      1.765042812538132,
      1.7650891753383315,
      1.7651337903262525,
      1.7651767230276492,
      1.7652180363194327,
      1.7652577909423057,
      1.765296045404633,
      1.76533285578618,
      1.7653682761540421,
      1.7654023587256362,
      1.7654351538296296,
      1.765466709919148,
      1.7654970733829236,
      1.7655262889682644,
      1.7655543999509113,
      1.765581447899128,
      1.7656074728968052,
      1.7656325134116382,
      1.7656566065204673,
      1.7656797876780228,
      1.7657020914021715,
      1.7657235507903335,
      1.7657441976978758,
      1.7657640628158597,
      1.7657831756988276,
      1.765801564640712,
      1.7658192569078472,
      1.7658362787183426,
      1.765852655527421,
      1.765868411550573,
      1.7658835703554456,
      1.7658981546915415,
      1.7659121862186689,
      1.765925685744849,
      1.7659386733123457,
      1.765951168284224,
      1.7659631894313292,
      1.7659747546638525,
      1.7659858812211713,
      1.7659965856079456,
      1.7660068838868075,
      1.7660167915135234,
      1.7660263231218856,
      1.7660354931229147,
      1.7660443152871113,
      1.7660528027339752,
      1.7660609682271622,
      1.7660688236562925,
      1.76607638063819,
      1.7660836507114848,
      1.7660906449718914,
      1.7660973737586037,
      1.7661038471550405,
      1.7661100748794603,
      1.7661160660232913,
      1.7661218294510834,
      1.766127373742971,
      1.7661327073914919,
      1.7661378383883362,
      1.766142774472579,
      1.7661475231247432,
      1.7661520914085838,
      1.7661564861182535,
      1.7661607139257194,
      1.7661647811214378,
      1.7661686938638388,
      1.7661724579203357,
      1.7661760789680603,
      1.7661795622845267,
      1.7661829131503408,
      1.7661861365400915,
      1.7661892372202745,
      1.7661922198982551,
      1.7661950890661038,
      1.7661978493023256,
      1.7662005046580822,
      1.7662030589083864,
      1.7662055159052323,
      1.7662078794221376,
      1.7662101531003727,
      1.766212340293591,
      1.7662144443704626,
      1.7662164683561326,
      1.7662184154892935,
      1.7662202887620178,
      1.766222090917512,
      1.7662238246005642,
      1.7662254924572305,
      1.7662270971328902,
      1.7662286409650145,
      1.7662301260322977,
      1.766231554763309,
      1.7662329291209802,
      1.766234251211382,
      1.766235523180398,
      1.7662367468052338,
      1.7662379239507575,
      1.7662390561612418,
      1.7662401452695105,
      1.7662411929377697,
      1.7662422008089456,
      1.7662431703019883,
      1.766244102865089,
      1.7662450000254455,
      1.7662458629811977,
      1.766246693210854,
      1.7662474921161229,
      1.766248260664878,
      1.7662490000515347,
      1.7662497114418763,
      1.766250395921289,
      1.7662510544939587,
      1.7662516880312367,
      1.7662522974743708,
      1.766252883427011,
      1.7662534470701245,
      1.7662539893982567,
      1.7662545111170418,
      1.7662550128460734,
      1.7662554954236447,
      1.7662559596009066,
      1.7662564059396044,
      1.7662568353202226,
      1.7662572485344463,
      1.7662576460811232,
      1.7662580285219194,
      1.7662583964299887,
      1.766258750287841,
      1.7662590906904376,
      1.7662594180904116,
      1.7662597331537295,
      1.7662600364540268,
      1.766260328268763,
      1.7662606088841561,
      1.7662608789000835,
      1.7662611385176725,
      1.7662613884036609,
      1.7662616289779214,
      1.7662618603114364,
      1.766262082736498,
      1.7662622965921875,
      1.7662625022241225,
      1.7662626997807631,
      1.7662628896201418,
      1.766263072106188,
      1.7662632477101248,
      1.76626341650158,
      1.7662635787587821,
      1.7662637348666865,
      1.7662638852149026,
      1.7662640300957266,
      1.7662641696021901,
      1.7662643037297017,
      1.7662644329863404,
      1.766264557477048,
      1.7662646772086759,
      1.766264792496859,
      1.766264903355443,
      1.7662650099033934,
      1.766265112364654,
      1.7662652108645835,
      1.7662653056841153,
      1.7662653968527258,
      1.7662654845552197,
      1.7662655688264814,
      1.766265649703997,
      1.766265727431309,
      1.7662658023051907,
      1.7662658744211495,
      1.766265943825954,
      1.766266010466705,
      1.7662660745977652,
      1.7662661363228482,
      1.766266195747495,
      1.7662662528264113
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.36062751794469,
      11.184831185773781,
      10.99798161537145,
      10.801071348669238,
      10.595235481480803,
      10.381690660446404,
      10.161713493898425,
      9.936721595180751,
      9.708191841025812,
      9.477585851521551,
      9.246330626353966,
      9.01575044560054,
      8.78700934394257,
      8.561097588087142,
      8.338817692472755,
      8.120770405676899,
      7.907348727471153,
      7.698743172811866,
      7.4949574359512665,
      7.29583156280507,
      7.101069268684113,
      6.910265759692671,
      6.722933821165981,
      6.538535337155563,
      6.356508734053905,
      6.176293276157329,
      5.99734799192058,
      5.819161858242489,
      5.641277584436188,
      5.4633019071732045,
      5.2849224041620575,
      5.105927908363598,
      4.926218125026568,
      4.745813018025411,
      4.5648411502273305,
      4.3835169607799065,
      4.202169353193176,
      4.021247930572052,
      3.8413016625707592,
      3.6629385996401567,
      3.486805170896826,
      3.3135745746161414,
      3.1439235563685717,
      2.9785127005773697,
      2.8179599865070704,
      2.662820773188174,
      2.513574583689013,
      2.370616653709629,
      2.2342550600975977,
      2.1047110374807145,
      1.9821221089030896,
      1.8665483836540109,
      1.757980524915267,
      1.6563491257168486,
      1.561534373556342,
      1.4733754689482375,
      1.3916795559854853,
      1.3162299603242333,
      1.2467933376741853,
      1.18312603116298,
      1.124979768362883,
      1.0721077642932584,
      1.0242676922397789,
      0.9812252690997404,
      0.9427583375325265,
      0.9086603017060314,
      0.8787381040708998,
      0.8528067981423111,
      0.8306821954449144,
      0.8121769149573899,
      0.7970664690337538,
      0.7850632469840264,
      0.7758485668239512,
      0.7690943824992265,
      0.7644802599452338,
      0.7617430901868998,
      0.7606614885450746,
      0.7610378787539155,
      0.7626971409058243,
      0.7654888644787726,
      0.7692848946464517,
      0.7739720277940118,
      0.7794500132009129,
      0.7856300538079894,
      0.7924323799254219,
      0.7997830721675405,
      0.8076144283282846,
      0.8158656388486076,
      0.8244832871914355,
      0.8334204034374538,
      0.842635638581786,
      0.8520925921113978,
      0.8617599485787044,
      0.8716105975868779,
      0.8816204102734487,
      0.8917679284729302,
      0.9020343183577654,
      0.9124028562369668,
      0.9228585045566238,
      0.9333883236762095,
      0.9439811594857318,
      0.9546268184067332,
      0.9653159497768544,
      0.97603994264324,
      0.9867908356930892,
      0.9975612382029309,
      1.008344260991318,
      1.0191333738428787,
      1.0299223520074017,
      1.040705479880868,
      1.0514774579513184,
      1.0622337489940865,
      1.0729701695838978,
      1.0836826588307864,
      1.0943672670157767,
      1.1050201456543345,
      1.1156375392108344,
      1.1262157786880385,
      1.1367512763020178,
      1.1472405208112086,
      1.157680050026449,
      1.1680664545154675,
      1.178396401410374,
      1.1886666326052542,
      1.1988739634211159,
      1.2090152826338492,
      1.2190875522178803,
      1.2290878077524319,
      1.2390131592162998,
      1.2488607918462147,
      1.2586279678525452,
      1.2683120274970885,
      1.2779103907834435,
      1.287420558772126,
      1.2968401153121485,
      1.3061667289631838,
      1.3153981548824076,
      1.3245322362458911,
      1.3335669058926054,
      1.342500188065651,
      1.3513301994122655,
      1.360055150998419,
      1.3686733491770926,
      1.3771831968115171,
      1.3855831939127403,
      1.3938719389893721,
      1.4020481472594717,
      1.4101108163378577,
      1.4180591452105857,
      1.425892448723425,
      1.4336101681672149,
      1.4412117961885438,
      1.448696875231227,
      1.4560650018904462,
      1.4633158135697206,
      1.4704489282748585,
      1.477464008371185,
      1.4843607971496169,
      1.4911391196115322,
      1.4977988823510548,
      1.5043400733855647,
      1.5107627615143462,
      1.5170670953961678,
      1.5232533027917838,
      1.5293216896041073,
      1.5352726380446042,
      1.541106605086014,
      1.5468241210400584,
      1.5524257874892637,
      1.5579122750743017,
      1.5632843217408925,
      1.5685427300674126,
      1.573688365143496,
      1.5787221522327184,
      1.5836450740127201,
      1.5884581682041097,
      1.5931625249760282,
      1.5977592839747536,
      1.6022496322464816,
      1.6066348011725837,
      1.6109160639440077,
      1.6150947327623715,
      1.61917215587139,
      1.6231497152347814,
      1.6270288237953854,
      1.6308109231324688,
      1.634497480350971,
      1.6380899859359899,
      1.6415899507966358,
      1.6449989041821942,
      1.6483183914581112,
      1.651549971390733,
      1.654695214064984,
      1.657755698321286,
      1.6607330101922426,
      1.6636287405643404,
      1.6664444831384193,
      1.6691818323385343,
      1.6718423817344557,
      1.674427722220474,
      1.6769394402104862,
      1.6793791163127938,
      1.6817483237272737,
      1.6840486262686167,
      1.6862815834472427,
      1.6884487763416443,
      1.69055178350947,
      1.6925921623374918,
      1.694571448152297,
      1.6964911542621963,
      1.6983527717141251,
      1.7001577687701215,
      1.7019075908710553,
      1.7036036716198826,
      1.7052474441008263,
      1.7068403174920173,
      1.7083836719297607,
      1.709878859273423,
      1.7113272034160767,
      1.7127300003478192,
      1.7140885184834538,
      1.715403998799937,
      1.7166776554983896,
      1.7179106757691835,
      1.719104220239504,
      1.7202594236481017,
      1.72137739463039,
      1.7224592158876768,
      1.723505944844595,
      1.7245186143894309,
      1.7254982321732384,
      1.7264457814197516,
      1.7273622213659094,
      1.728248487639297,
      1.7291054920654745,
      1.7299341233817545,
      1.7307352478921023,
      1.7315097093012533,
      1.7322583295603768,
      1.7329819088432836,
      1.733681225823993,
      1.7343570384601525,
      1.7350100842656238,
      1.7356410803782016,
      1.7362507244914156,
      1.7368396948705698,
      1.7374086507763098,
      1.7379582327366279,
      1.7384890632782355,
      1.7390017469986827,
      1.739496870996877,
      1.7399750053573428,
      1.740436703535792,
      1.7408825026462744,
      1.7413129241589804,
      1.7417284737370773,
      1.7421296418915193,
      1.742516904487634,
      1.7428907228998725,
      1.7432515445272874,
      1.7435998029574387,
      1.7439359183895804,
      1.7442602982150377,
      1.7445733369413898,
      1.7448754169352265,
      1.7451669084070598,
      1.7454481698079507,
      1.7457195483329953,
      1.745981380124489,
      1.7462339904292152,
      1.7464776943709743,
      1.7467127966090068,
      1.74693959206938,
      1.7471583660708059,
      1.7473693948112823,
      1.7475729454015492,
      1.74776927610655,
      1.7479586365916107,
      1.7481412684781916,
      1.7483174051920296,
      1.74848727252761,
      1.7486510887592033,
      1.7488090650102084,
      1.7489614050671454,
      1.749108306011531,
      1.7492499583469583,
      1.7493865460282905,
      1.7495182469523523,
      1.749645232994394,
      1.7497676699973514,
      1.7498857182732739,
      1.7499995324977167,
      1.7501092622178243,
      1.7502150516516124,
      1.7503170402025081,
      1.750415362315552,
      1.7505101480997638,
      1.7506015231901788,
      1.7506896086636128,
      1.7507745214657973,
      1.7508563743835321,
      1.7509352764262107,
      1.7510113327012733,
      1.7510846446989676,
      1.7511553103761104,
      1.7512234241402882,
      1.7512890772940608,
      1.7513523579219359,
      1.7514133510335448,
      1.751472138556332,
      1.751528799635412,
      1.7515834103758567,
      1.7516360442989594,
      1.75168677244422,
      1.7517356631678462,
      1.7517827826550207,
      1.7518281946708454,
      1.7518719607704551,
      1.7519141400021838,
      1.751954789477005,
      1.7519939645831522,
      1.7520317182357075,
      1.7520681016535635,
      1.7521031643238334,
      1.7521369539674054,
      1.7521695164040125,
      1.752200896079687,
      1.7522311358324252,
      1.7522602768113695,
      1.752288358549799,
      1.7523154195986246,
      1.7523414967366293,
      1.7523666257584263,
      1.7523908409408133,
      1.7524141754256128,
      1.7524366609421744,
      1.752458328293717,
      1.7524792071322686,
      1.7524993260904111,
      1.7525187127611932,
      1.7525373935261674,
      1.7525553941471006,
      1.752572739239367,
      1.752589452610545,
      1.7526055574471129,
      1.7526210757387353,
      1.7526360285170248,
      1.7526504365527071,
      1.752664319527331,
      1.752677696527919,
      1.7526905860335347,
      1.7527030058513557,
      1.7527149728498626,
      1.7527265035063329,
      1.7527376139969415,
      1.7527483195750184,
      1.7527586349162692,
      1.7527685741084593,
      1.7527781507939848,
      1.752787378109434,
      1.7527962688287761,
      1.752804835151008,
      1.7528130889965559,
      1.752821041897204,
      1.7528287045810884,
      1.7528360875752946,
      1.7528432011476507,
      1.7528500551977255,
      1.752856659148076,
      1.7528630221409967,
      1.7528691528794884,
      1.7528750598245684,
      1.752880751341766,
      1.7528862352883807,
      1.7528915192622092,
      1.7528966104435497,
      1.7529015158444594,
      1.7529062423037192,
      1.7529107963803103,
      1.7529151841453168,
      1.7529194117879157,
      1.7529234851024196,
      1.752927409840189,
      1.75293119134949,
      1.7529348346734674,
      1.7529383450551208,
      1.752941727323298,
      1.7529449860927018,
      1.7529481259640558,
      1.7529511512156637,
      1.7529540660038108,
      1.752956874308984,
      1.7529595798821787,
      1.752962186496508,
      1.7529646979953941,
      1.7529671178829833,
      1.7529694493724957,
      1.752971695485666,
      1.7529738596100448,
      1.7529759446320428,
      1.7529779535959404,
      1.7529798892949466,
      1.7529817543708994,
      1.752983551261516,
      1.752985282402123,
      1.7529869504273718,
      1.7529885578133069,
      1.7529901065196374,
      1.7529915985986095,
      1.752993036091899,
      1.752994421130807,
      1.7529957556804987,
      1.7529970415385832,
      1.7529982804864273,
      1.7529994741861523,
      1.7530006242812262,
      1.7530017323951965,
      1.7530027999271798,
      1.75300382830515,
      1.75300481903578,
      1.753005773601611,
      1.7530066932566062,
      1.7530075792287094,
      1.7530084327189526,
      1.753009255053146,
      1.7530100473758168,
      1.7530108105476978,
      1.753011545551947,
      1.7530122535443389,
      1.753012935801544,
      1.753013593211698,
      1.7530142266805557,
      1.7530148369783032,
      1.753015424891672,
      1.7530159915284125,
      1.7530165375028233,
      1.7530170633930315,
      1.7530175699440045,
      1.753018057965328,
      1.7530185281780644,
      1.7530189811633405,
      1.753019417667117,
      1.7530198382944882,
      1.7530202435601199,
      1.7530206340404726,
      1.7530210105259243,
      1.7530213733082434,
      1.7530217225871985,
      1.7530220590807704,
      1.753022383312574,
      1.7530226957132629,
      1.753022997027006,
      1.753023287446451,
      1.7530235674771106,
      1.7530238373267473,
      1.7530240974137832,
      1.7530243481635972,
      1.7530245898047687,
      1.7530248225723568,
      1.7530250467077242,
      1.7530252624583773,
      1.7530254701794892,
      1.7530256702319507,
      1.7530258629820998,
      1.753026048394602,
      1.7530262270496468,
      1.7530263993287927,
      1.7530265653638308,
      1.7530267253927239,
      1.7530268796068305,
      1.753027028303366,
      1.7530271716309025,
      1.7530273098435338,
      1.753027443198994,
      1.7530275717550383,
      1.7530276956237063,
      1.7530278151237761,
      1.7530279301702794,
      1.7530280408848438,
      1.7530281474938996,
      1.7530282500233612,
      1.753028348603772,
      1.753028443571892,
      1.7530285350636319,
      1.7530286232173657,
      1.753028708072137
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.36059521693894,
      11.18473095223142,
      10.99779031056849,
      10.800776989476931,
      10.59484020237141,
      10.381205845832948,
      10.161158623048888,
      9.936119839724538,
      9.707569522534662,
      9.476974116534988,
      9.245760900748003,
      9.015248635598635,
      8.786597142104824,
      8.560796081322355,
      8.338646913570141,
      8.120749091978169,
      7.907494198523309,
      7.69907138441215,
      7.495483296993558,
      7.296569245591434,
      7.102032563102927,
      6.911468563228347,
      6.724390440422506,
      6.540260706239748,
      6.358518610853003,
      6.178604348273875,
      5.999978389594775,
      5.822131025119063,
      5.644605616408227,
      5.467009309328671,
      5.289029398251833,
      5.110453881383291,
      4.931181000250348,
      4.751228812071241,
      4.570723826632751,
      4.3898767427742795,
      4.209011268058567,
      4.028571737176642,
      3.849102301049735,
      3.6712066009791346,
      3.4955269127523465,
      3.322732903642413,
      3.1534982278158874,
      2.9884810019025916,
      2.8282984079121976,
      2.673505975383673,
      2.5245843010445532,
      2.3819306295160234,
      2.2458558789927556,
      2.116584323452508,
      1.9942568595646912,
      1.8789369626944026,
      1.770618672303766,
      1.669235868319951,
      1.574671851451276,
      1.4867686144642005,
      1.40533586540437,
      1.3301592459549707,
      1.2610074450661677,
      1.1976385985035485,
      1.1398064613872756,
      1.08726654631285,
      1.0397778246252334,
      0.9971082843178203,
      0.9590380780526571,
      0.9253634251053556,
      0.8958918813672225,
      0.8704373461418344,
      0.8488136802584254,
      0.8308200783828693,
      0.8162031178455924,
      0.8046511110089141,
      0.7958327488100487,
      0.7894071169245858,
      0.7850608693666508,
      0.7825432088810094,
      0.7816362664369456,
      0.7821458447461648,
      0.7839011909310745,
      0.7867572827519462,
      0.7905886389697396,
      0.7952841960099222,
      0.8007456444593437,
      0.8068859353699235,
      0.8136257608463081,
      0.8208903685371398,
      0.8286125764698647,
      0.8367334510869261,
      0.8452012488274403,
      0.8539704933340927,
      0.863001170942634,
      0.8722581604463608,
      0.8817113362109085,
      0.8913345524071074,
      0.9011049197664611,
      0.9110021373444381,
      0.9210080589405102,
      0.9311064242281244,
      0.9412829507042113,
      0.9515254808910335,
      0.9618231016037961,
      0.9721658544688286,
      0.9825446193268118,
      0.9929510125401422,
      1.003377298049797,
      1.0138163097291821,
      1.0242611853685453,
      1.0347055765806423,
      1.0451436583860005,
      1.0555699581882256,
      1.0659794047301927,
      1.0763676578730141,
      1.0867307489961844,
      1.0970648383899906,
      1.1073662033937755,
      1.117631228319257,
      1.1278563968386528,
      1.1380382848224477,
      1.148173555021857,
      1.1582589526031553,
      1.168291301407612,
      1.1782675016775113,
      1.1881845278536118,
      1.1980394070429534,
      1.2078292222605094,
      1.2175511341309875,
      1.22720238072091,
      1.2367802767973894,
      1.2462822141704037,
      1.2557056623351694,
      1.2650481688348474,
      1.2743073602889727,
      1.2834809429986123,
      1.2925667043787206,
      1.3015625140267884,
      1.310466324660558,
      1.3192761734115035,
      1.3279901825874683,
      1.3366065612050255,
      1.345123605641488,
      1.3535397008594034,
      1.3618533211641637,
      1.3700630307773483,
      1.3781674845596878,
      1.386165428607251,
      1.394055700699039,
      1.4018373162294655,
      1.4095095664770954,
      1.4170718344973534,
      1.424523557664211,
      1.4318642310032645,
      1.4390934104126218,
      1.4462107151497858,
      1.4532158294204178,
      1.4601085040741253,
      1.4668885261990787,
      1.473555675611048,
      1.4801097990933902,
      1.4865508267186411,
      1.4928787709421374,
      1.499093724425275,
      1.5051958587631133,
      1.5111854222737438,
      1.5170627382120698,
      1.5228282144863279,
      1.528482345390131,
      1.5340256889116457,
      1.5394588624868029,
      1.544782541269534,
      1.5499974569305057,
      1.5551043963698434,
      1.560104199475535,
      1.564997757297722,
      1.5697860103312418,
      1.5744699461415945,
      1.5790505976045845,
      1.5835290407924643,
      1.587906392608041,
      1.5921838087773441,
      1.5963624813368986,
      1.600443636278023,
      1.60442853160406,
      1.608318457328469,
      1.6121147467233163,
      1.6158187649955937,
      1.6194318988421716,
      1.6229555539576814,
      1.6263911529207336,
      1.6297401334116477,
      1.6330039457994603,
      1.636184051221666,
      1.6392819198051507,
      1.6422990283717718,
      1.645236858650686,
      1.648096895798797,
      1.6508806262678386,
      1.6535895367015128,
      1.656225111629712,
      1.6587888324062248,
      1.6612821758689744,
      1.6637066124225885,
      1.6660636052775357,
      1.6683546090195414,
      1.6705810680227986,
      1.672744415678035,
      1.6748460770340916,
      1.6768874931653681,
      1.6788701050567891,
      1.680795331804602,
      1.6826645706610712,
      1.6844791969556736,
      1.6862405638458564,
      1.6879500025115013,
      1.6896088216269862,
      1.6912183077420706,
      1.6927797250491021,
      1.6942943150992804,
      1.695763296979953,
      1.6971878675997234,
      1.6985692012196405,
      1.699908449453963,
      1.701206741641627,
      1.7024651846750856,
      1.7036848630521049,
      1.7048668391526154,
      1.7060121529291752,
      1.7071218221830449,
      1.7081968432242196,
      1.7092381903912754,
      1.7102468163658329,
      1.7112236523677569,
      1.7121696086394633,
      1.7130855741018904,
      1.7139724170145798,
      1.7148309847594905,
      1.715662104682285,
      1.7164665842121445,
      1.7172452106680627,
      1.7179987518718312,
      1.7187279563477817,
      1.7194335537207135,
      1.7201162549056939,
      1.7207767526501951,
      1.7214157214627606,
      1.7220338180988204,
      1.722631681637979,
      1.7232099343230907,
      1.7237691813813703,
      1.7243100116084584,
      1.724832997901807,
      1.7253386971335496,
      1.7258276504823187,
      1.7263003841734894,
      1.7267574095090032,
      1.7271992231536788,
      1.7276263077797804,
      1.7280391320529442,
      1.7284381511294105,
      1.7288238068002726,
      1.7291965278930048,
      1.7295567306255768,
      1.7299048186586152,
      1.730241183761523,
      1.7305662062278155,
      1.7308802546836177,
      1.731183686764557,
      1.731476848982672,
      1.7317600774109296,
      1.7320336978120463,
      1.7322980259237852,
      1.732553367900611,
      1.7328000202505125,
      1.7330382702334766,
      1.7332683961111965,
      1.7334906674006414,
      1.7337053452331141,
      1.733912682360921,
      1.7341129236764123,
      1.7343063063277881,
      1.734493059736744,
      1.7346734061282798,
      1.7348475605554887,
      1.7350157310294392,
      1.7351781190086017,
      1.7353349192811964,
      1.7354863204103892,
      1.7356325050808599,
      1.7357736496347058,
      1.7359099247803822,
      1.7360414956435097,
      1.7361685217696834,
      1.7362911578423936,
      1.7364095533354242,
      1.7365238524224156,
      1.7366341947540078,
      1.7367407154236922,
      1.7368435448344577,
      1.7369428093309425,
      1.7370386309693169,
      1.7371311275947194,
      1.7372204131245694,
      1.737306597783197,
      1.737389787982727,
      1.7374700866636763,
      1.7375475932309628,
      1.7376224032884093,
      1.7376946093417962,
      1.7377643006392536,
      1.7378315635220738,
      1.737896481472178,
      1.7379591353137984,
      1.738019603213394,
      1.7380779604267347,
      1.7381342797599038,
      1.7381886314723463,
      1.7382410836390485,
      1.7382917021073123,
      1.738340550302256,
      1.7383876894915444,
      1.7384331788989198,
      1.738477075869686,
      1.7385194356306928,
      1.7385603116618238,
      1.738599755559994,
      1.738637817005995,
      1.738674544190418,
      1.7387099835791504,
      1.738744180036053,
      1.7387771767941154,
      1.7388090157835847,
      1.7388397375540472,
      1.7388693808413693,
      1.7388979831530276,
      1.7389255809471984,
      1.7389522092532108,
      1.7389779020048886,
      1.7390026920694082,
      1.7390266107174286,
      1.7390496885690652,
      1.7390719551163123,
      1.7390934387039128,
      1.7391141668160748,
      1.7391341659568755,
      1.7391534616330167,
      1.7391720784389708,
      1.7391900401426479,
      1.7392073697716643,
      1.7392240895982873,
      1.739240220972403,
      1.7392557846635555,
      1.7392708005422632,
      1.7392852877704759,
      1.739299264890764,
      1.7393127496108143,
      1.7393257594529679,
      1.7393383111833645,
      1.7393504208518338,
      1.7393621038322151,
      1.7393733751683769,
      1.7393842494117544,
      1.7393947404592334,
      1.7394048617474722,
      1.7394146261424992,
      1.739424046439737,
      1.7394331347454046,
      1.7394419028245012,
      1.7394503619406103,
      1.7394585230518955,
      1.7394663964479269,
      1.7394739923023204,
      1.739481320411875,
      1.7394883901392113,
      1.739495210660917,
      1.7395017907072763,
      1.7395081384547768,
      1.7395142622836433,
      1.7395201702637384,
      1.7395258698441296,
      1.7395313683567388,
      1.7395366729098436,
      1.7395417903325439,
      1.7395467273736844,
      1.7395514902906022,
      1.7395560852518401,
      1.739560518129642,
      1.7395647945978356,
      1.7395689202807034,
      1.739572900342377,
      1.7395767399411537,
      1.7395804441753084,
      1.7395840178762352,
      1.7395874657070303,
      1.7395907921593847,
      1.7395940012455535,
      1.7395970971567676,
      1.7396000838028256,
      1.7396029649112301,
      1.739605744431587,
      1.739608425821013,
      1.739611012550384,
      1.7396135080003912,
      1.7396159153575936,
      1.7396182377140017,
      1.739620478115934,
      1.7396226395619916,
      1.7396247247976693,
      1.7396267364152336,
      1.7396286769537712,
      1.7396305490500377,
      1.739632355029906,
      1.7396340971611313,
      1.7396357778552343,
      1.7396373992082443,
      1.7396389632027132,
      1.7396404719607135,
      1.7396419274372956,
      1.7396433314700455,
      1.7396446859813437,
      1.7396459926719037,
      1.739647253223107,
      1.7396484693467698,
      1.7396496426822514,
      1.7396507746936847,
      1.7396518667707341,
      1.7396529203293902,
      1.7396539367093269,
      1.739654917274713,
      1.739655863311614,
      1.7396567759254231,
      1.7396576561418766,
      1.7396585052114766,
      1.7396593243544018,
      1.7396601145562696,
      1.7396608765675274,
      1.7396616117165937,
      1.739662321044487,
      1.7396630055075097,
      1.7396636656714946,
      1.7396643023217333,
      1.7396649164624503,
      1.7396655090110125,
      1.7396660807972935,
      1.7396666324614127,
      1.7396671646567612,
      1.7396676781004274,
      1.73966817331842,
      1.7396686511030848,
      1.7396691123599717,
      1.7396695575986565,
      1.739669987135833,
      1.7396704016037106,
      1.7396708015427025,
      1.7396711872993826,
      1.7396715594331142,
      1.7396719183087794,
      1.7396722641983116,
      1.7396725975856528,
      1.7396729192681069,
      1.7396732298472903,
      1.739673529626997,
      1.7396738189181118,
      1.7396740981401728,
      1.7396743677193471,
      1.7396746278847357,
      1.739674878871625,
      1.7396751208196573,
      1.7396753541796004,
      1.7396755792044183,
      1.7396757962543026,
      1.739676005491265,
      1.7396762069807667,
      1.7396764010476409,
      1.739676588275946,
      1.7396767689999426,
      1.7396769435073185,
      1.7396771120898664,
      1.7396772747381277,
      1.7396774315482852,
      1.7396775828237834,
      1.7396777290751702,
      1.7396778703077362,
      1.7396780066317543,
      1.7396781381607738,
      1.7396782652149116,
      1.73967838771038,
      1.7396785055663917
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360569767641936,
      11.184643526767935,
      10.9976170486795,
      10.800505595972592,
      10.594471958788706,
      10.380750632732475,
      10.160633951191473,
      9.935546733486868,
      9.706972848509919,
      9.476383305913236,
      9.24520574290548,
      9.014753456599665,
      8.78618247781472,
      8.56048199588173,
      8.338452525874294,
      8.120692308463349,
      7.907591574069903,
      7.699338158801525,
      7.495933687959426,
      7.297216738912717,
      7.102890249534681,
      6.912549626099495,
      6.725708440667051,
      6.541829794395947,
      6.360353728717124,
      6.180721344687243,
      6.002394523236638,
      5.824864890667506,
      5.6476764647335544,
      5.470436801107134,
      5.292833031807454,
      5.114652482872902,
      4.935792138514983,
      4.7562683903687155,
      4.576205766578919,
      4.395811529397793,
      4.215404567823732,
      4.035424303623962,
      3.8564103416786755,
      3.6789619400263542,
      3.5037173770219994,
      3.3313429568617856,
      3.1625093468903205,
      2.9978722316351223,
      2.8380479490878714,
      2.683592086895039,
      2.5349861479113724,
      2.3926292065446937,
      2.2568347687946337,
      2.1278298556983675,
      2.005758449793106,
      1.8906871358146822,
      1.7826130880959223,
      1.6814732408191901,
      1.5871537787763046,
      1.4994992847837862,
      1.4183218914025038,
      1.3434094078763408,
      1.2745324269401965,
      1.2114507629577793,
      1.153920456785988,
      1.1016988032808699,
      1.0545464203222745,
      1.012233418455202,
      0.9745425862169056,
      0.941271889456009,
      0.9122294372786002,
      0.8872272390205389,
      0.8660745862257824,
      0.8485540103890209,
      0.8343842718830985,
      0.8232333065757509,
      0.8147574174593637,
      0.8086068751899073,
      0.8044822952436871,
      0.8021413616906926,
      0.8013689671086114,
      0.8019741910983792,
      0.8037909888319358,
      0.8066787460368579,
      0.810514229899821,
      0.8151884152730834,
      0.8206048393822543,
      0.8266778756752746,
      0.8333270963709107,
      0.8404780245101798,
      0.8480654126914529,
      0.8560320553174574,
      0.864327754250082,
      0.8729084165785784,
      0.8817352691364382,
      0.8907744292365969,
      0.899997244768336,
      0.909378812566131,
      0.9188969858990321,
      0.9285320295476847,
      0.9382663182138515,
      0.9480841454421096,
      0.957972069988688,
      0.9679183842194438,
      0.9779124567494935,
      0.9879446013524764,
      0.998005962542675,
      1.0080884151445162,
      1.018184414106942,
      1.0282867959759459,
      1.0383890856504054,
      1.0484853165128576,
      1.0585699183575026,
      1.068637672449073,
      1.0786836933885482,
      1.0887037540230031,
      1.0986941262165324,
      1.1086512128840147,
      1.1185715365999789,
      1.1284517301841694,
      1.1382885284228488,
      1.1480787610964625,
      1.1578193477410323,
      1.167507293099377,
      1.177139683287702,
      1.1867136830605594,
      1.1962265337457894,
      1.2056755516244395,
      1.2150581265830793,
      1.224371721883198,
      1.2336138736551878,
      1.2427821845539369,
      1.2518743107829808,
      1.260887981983859,
      1.269821006480593,
      1.2786712712293746,
      1.2874367423523951,
      1.2961154659814866,
      1.3047055684248188,
      1.3132052570096295,
      1.321612820308754,
      1.3299266289005105,
      1.3381451361326966,
      1.346266878616475,
      1.3542904765314683,
      1.3622146340271044,
      1.3700381395982903,
      1.377759866416013,
      1.3853787724913404,
      1.3928939002978054,
      1.400304525579611,
      1.4076101409299095,
      1.4148102878625899,
      1.4219045569453908,
      1.4288925908131027,
      1.4357740868495255,
      1.4425487989691514,
      1.4492165394045498,
      1.455777179930174,
      1.4622306527672748,
      1.468576932442801,
      1.474815977829709,
      1.480947797468459,
      1.4869724753176456,
      1.4928901689935583,
      1.4987011074456742,
      1.5044055893806498,
      1.510003980899878,
      1.5154967136647028,
      1.520884283124059,
      1.5261672460348596,
      1.5313462182353028,
      1.536421872614923,
      1.5413949367171655,
      1.5462661906316455,
      1.5510364646132264,
      1.5557066365268433,
      1.5602776298279615,
      1.5647504111615103,
      1.5691259881885977,
      1.5734054071318029,
      1.5775897504458634,
      1.5816801345632825,
      1.5856777076648125,
      1.5895836473743092,
      1.5933991585321516,
      1.5971254711000225,
      1.6007638378941533,
      1.6043155324039269,
      1.6077818470038205,
      1.6111640906971152,
      1.6144635872084483,
      1.6176816730218344,
      1.620819695520339,
      1.623879011332991,
      1.6268609842315966,
      1.6297669836496484,
      1.6325983828610295,
      1.6353565576874214,
      1.6380428849247226,
      1.6406587403402653,
      1.64320549782185,
      1.6456845277501435,
      1.6480971958193091,
      1.6504448620050998,
      1.6527288789724002,
      1.6549505911472273,
      1.6571113340504176,
      1.6592124329305358,
      1.6612552016156508,
      1.6632409418930947,
      1.665170958882982,
      1.6670465697690415,
      1.6688690753716267,
      1.6706397552007055,
      1.6723598678884588,
      1.6740306512064982,
      1.6756533219251755,
      1.6772290758233064,
      1.6787590880040644,
      1.6802445125025396,
      1.6816864824593116,
      1.6830861105576873,
      1.6844444883536274,
      1.68576268689154,
      1.6870417565737548,
      1.688282727201387,
      1.6894866080869972,
      1.6906543881903147,
      1.6917870363297378,
      1.6928855010645714,
      1.693950710961904,
      1.6949835748428177,
      1.6959849817552597,
      1.6969558004716085,
      1.697896877343131,
      1.6988090395830837,
      1.699693095993493,
      1.7005498370182512,
      1.7013800350900703,
      1.7021844449671055,
      1.7029638035008976,
      1.7037188303115594,
      1.7044502277942473,
      1.7051586811700192,
      1.70584485888705,
      1.7065094127116651,
      1.7071529781711967,
      1.7077761748405662,
      1.7083796063715009,
      1.7089638608753457,
      1.7095295112530924,
      1.7100771154730643,
      1.7106072164915325,
      1.7111203430374193,
      1.7116170096339853,
      1.7120977168238842,
      1.7125629513948883,
      1.7130131871658636,
      1.7134488847563651,
      1.7138704917644692,
      1.7142784434548883,
      1.7146731628382659,
      1.7150550609051294,
      1.715424536963547,
      1.715781978877291,
      1.716127763458876,
      1.716462256661718,
      1.7167858136220544,
      1.7170987792123433,
      1.7174014881395008,
      1.717694265554606,
      1.7179774265463754,
      1.7182512769600224,
      1.7185161136087315,
      1.7187722243862291,
      1.7190198884332342,
      1.7192593765612132,
      1.7194909512721053,
      1.7197148671880587,
      1.7199313711788438,
      1.7201407025938993,
      1.7203430933956094,
      1.7205387682954763,
      1.7207279448932802,
      1.7209108344293946,
      1.721087641319211,
      1.7212585636567375,
      1.7214237933648893,
      1.7215835163993856,
      1.7217379128535129,
      1.72188715696387,
      1.7220314176781737,
      1.7221708585135282,
      1.7223056377731252,
      1.722435908613007,
      1.7225618196197305,
      1.7226835144747503,
      1.7228011323332375,
      1.7229148079000145,
      1.7230246713041542,
      1.7231308486370704,
      1.723233461984063,
      1.723332629610423,
      1.7234284655391647,
      1.7235210803516123,
      1.7236105811759574,
      1.7236970715758628,
      1.723780651644437,
      1.7238614183542218,
      1.7239394653495295,
      1.7240148834524274,
      1.7240877604074112,
      1.72415818098375,
      1.7242262273336384,
      1.7242919787924127,
      1.7243555120362601,
      1.7244169011905588,
      1.7244762181429998,
      1.7245335322985342,
      1.7245889107425156,
      1.7246424184560125,
      1.7246941182271631,
      1.7247440707671184,
      1.7247923347254692,
      1.7248389667068207,
      1.7248840215936643,
      1.7249275522599485,
      1.7249696100995207,
      1.7250102447415925,
      1.725049504123275,
      1.7250874345630975,
      1.7251240805302654,
      1.7251594854829848,
      1.7251936912834211,
      1.7252267383763649,
      1.7252586659686802,
      1.7252895115992835,
      1.7253193118797026,
      1.7253481020655768,
      1.7253759160865518,
      1.7254027869329616,
      1.7254287466362213,
      1.725453826046322,
      1.7254780548135147,
      1.7255014617774607,
      1.7255240747466214,
      1.7255459203291,
      1.7255670247304669,
      1.7255874130261202,
      1.72560710924799,
      1.7256261369296142,
      1.7256445187361047,
      1.725662276755641,
      1.7256794318759823,
      1.725696004585719,
      1.725712014453377,
      1.7257274804716771,
      1.725742421249606,
      1.7257568545435098,
      1.725770797500689,
      1.7257842668525953,
      1.7257972785487428,
      1.725809848103131,
      1.7258219905849008,
      1.7258337205075691,
      1.7258450517694253,
      1.725855997899474,
      1.7258665721510096,
      1.7258767871376148,
      1.7258866548764173,
      1.725896187187719,
      1.7259053953827386,
      1.7259142904601863,
      1.725922883201377,
      1.7259311839603455,
      1.7259392028100553,
      1.7259469490786568,
      1.725954431954209,
      1.7259616604790788,
      1.7259686432901877,
      1.7259753887155185,
      1.7259819046673515,
      1.7259881989426713,
      1.725994279116724,
      1.7260001525892972,
      1.7260058262242461,
      1.7260113067522027,
      1.7260166008682096,
      1.7260217149734232,
      1.726026654916895,
      1.7260314267549375,
      1.7260360362897351,
      1.7260404889132583,
      1.726044789858301,
      1.726048944398731,
      1.726052957541151,
      1.726056834174475,
      1.7260605790669186,
      1.7260641964562864,
      1.726067690861099,
      1.7260710663658794,
      1.726074326923827,
      1.7260774764560871,
      1.7260805189511599,
      1.7260834580555777,
      1.726086297122582,
      1.7260890396169366,
      1.7260916888076665,
      1.7260942478678682,
      1.726096720025261,
      1.7260991080517016,
      1.7261014147700795,
      1.7261036430525984,
      1.7261057955139059,
      1.726107874763782,
      1.726109883303833,
      1.7261118235260389,
      1.7261136980163518,
      1.7261155087903106,
      1.726117258003849,
      1.7261189476976675,
      1.726120579795972,
      1.7261221562070952,
      1.7261236788223076,
      1.7261251495654946,
      1.7261265701885984,
      1.726127942575695,
      1.7261292683349843,
      1.726130548899513,
      1.7261317858314744,
      1.7261329807195407,
      1.726134134872743,
      1.7261352496248517,
      1.7261363264352503,
      1.726137366582929,
      1.7261383711148122,
      1.7261393415571724,
      1.7261402792026985,
      1.726141184906249,
      1.7261420596437773,
      1.726142904308311,
      1.7261437200145742,
      1.7261445078948747,
      1.7261452688949628,
      1.7261460039769234,
      1.7261467140168367,
      1.7261473999059864,
      1.7261480625503094,
      1.7261487028698757,
      1.7261493216965773,
      1.7261499195701908,
      1.7261504971449377,
      1.7261510551890693,
      1.7261515941775507,
      1.7261521149020476,
      1.7261526180636084,
      1.726153104068791,
      1.7261535733345685,
      1.7261540264914936,
      1.7261544642816573,
      1.7261548871512957,
      1.7261552955557165,
      1.726155690162418,
      1.7261560714438589,
      1.72615643982975,
      1.72615679591015,
      1.7261571398249045,
      1.7261574718738093,
      1.7261577926689866,
      1.7261581027277297,
      1.7261584023703869,
      1.7261586919236251,
      1.7261589715167966,
      1.7261592411835962,
      1.7261595015740452,
      1.7261597532420745,
      1.726159996238333,
      1.7261602309747188,
      1.726160457969899,
      1.7261606773912226,
      1.726160889512334,
      1.7261610943570274,
      1.7261612922077922,
      1.7261614835039676,
      1.7261616683328491,
      1.726161846785664,
      1.726162019160926,
      1.7261621855574285,
      1.726162346281005
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.36055446877312,
      11.184575246089656,
      10.997471007212857,
      10.800268438539915,
      10.594143511737652,
      10.380339343219108,
      10.160155875991919,
      9.935021246974047,
      9.7064235822026,
      9.47583807223637,
      9.24469277651727,
      9.014294263005452,
      8.78579662556271,
      8.56018870428305,
      8.338270175371754,
      8.12063815251551,
      7.907681577594635,
      7.699587039795547,
      7.496355179011205,
      7.29782386015866,
      7.103695629798468,
      6.913565967233744,
      6.726948827883131,
      6.543307877464015,
      6.362083923108931,
      6.182718954684504,
      6.004675992895118,
      5.827448155554,
      5.650580224471508,
      5.4736801457559645,
      5.296434968733418,
      5.118631457677393,
      4.940165480100459,
      4.761051925817481,
      4.58141331512503,
      4.401454085674645,
      4.221488561746565,
      4.0419511519619356,
      3.8633770747987217,
      3.6863611922216104,
      3.5115379182964506,
      3.3395703163283312,
      3.1711261428944955,
      3.0068586777876565,
      2.8473833846658216,
      2.693255831876854,
      2.5449583104936147,
      2.4028917201466786,
      2.2673718162597227,
      2.138628253012225,
      2.016807828327861,
      1.9019800527736046,
      1.794145057071122,
      1.6932426628342603,
      1.5991617855166917,
      1.5117494628116284,
      1.4308201249859784,
      1.356163639882905,
      1.287552408147215,
      1.2247479321421242,
      1.1675085251741528,
      1.1155929863995981,
      1.0687636760604777,
      1.0267927288540841,
      0.9894655295376589,
      0.9565814221140653,
      0.9279490146680124,
      0.9033784334606332,
      0.8826716454603509,
      0.8655885715463673,
      0.8518223331552951,
      0.841026397288201,
      0.8328411370363515,
      0.8269173708801456,
      0.8229723791164583,
      0.8207688137530447,
      0.820094013629807,
      0.8207603843959905,
      0.8226068493900622,
      0.8254961756344561,
      0.8293072478500878,
      0.8339329695159937,
      0.8392786220193358,
      0.8452581006575322,
      0.8517906485089362,
      0.858803773839762,
      0.8662340052813439,
      0.8740257279148513,
      0.8821301694636651,
      0.8905046173119244,
      0.8991119078100961,
      0.9079195487802831,
      0.9168997040631675,
      0.9260281503864739,
      0.9352833630090189,
      0.9446461778846877,
      0.9540994962917775,
      0.9636283087669892,
      0.9732198536761962,
      0.9828627453057786,
      0.9925466603435666,
      1.0022622087059911,
      1.0120008212368181,
      1.0217544969541261,
      1.0315157862921183,
      1.0412780396962933,
      1.0510351117006735,
      1.0607813008078286,
      1.070511298587203,
      1.0802201454512084,
      1.0899031919510256,
      1.0995562353100294,
      1.1091757135974327,
      1.118758289214201,
      1.128300743781314,
      1.137799968940123,
      1.1472529580731596,
      1.1566568003360884,
      1.1660086746835123,
      1.1753058453865641,
      1.1845456588138221,
      1.1937255401300024,
      1.202842991009526,
      1.2118955883432618,
      1.2208809821391158,
      1.2297968953935674,
      1.238641123067578,
      1.2474115320297183,
      1.25610606093148,
      1.2647227203015035,
      1.273259592891499,
      1.2817148336967255,
      1.2900866708023586,
      1.2983734060211642,
      1.3065734108793714,
      1.314685118435623,
      1.3227070366487723,
      1.3306377523093667,
      1.3384759311177967,
      1.3462203175013063,
      1.3538697348128739,
      1.3614230857411795,
      1.3688793514898285,
      1.3762375921494938,
      1.3834969460584177,
      1.3906566436477117,
      1.3977161518429562,
      1.4046751079410489,
      1.4115331896324799,
      1.4182901178652543,
      1.4249456600331725,
      1.4314996318554223,
      1.4379518992620315,
      1.4443023799215597,
      1.4505510444541279,
      1.4566979168641092,
      1.4627430752018253,
      1.4686866518872155,
      1.4745287841975356,
      1.4802696073121429,
      1.4859093185505048,
      1.4914481809798361,
      1.4968865215766864,
      1.502224728868008,
      1.50746325090912,
      1.512602593032703,
      1.5176433159224536,
      1.5225860332941414,
      1.5274314097899688,
      1.532180158827907,
      1.5368330404535362,
      1.5413908592933623,
      1.5458544622003914,
      1.550224736200602,
      1.5545026062812572,
      1.5586890332745744,
      1.5627850117346784,
      1.5667915677570186,
      1.5707097571984538,
      1.5745406634341645,
      1.5782853954663156,
      1.5819450855721355,
      1.585520887510427,
      1.5890139750342107,
      1.5924255393893363,
      1.5957567877343508,
      1.5990089414161897,
      1.602183234104575,
      1.6052809105002295,
      1.608303224145017,
      1.6112514358123669,
      1.6141268121254022,
      1.6169306241518644,
      1.6196641458777015,
      1.6223286527155392,
      1.624925420458533,
      1.6274557237169465,
      1.6299208347057976,
      1.6323220220821055,
      1.634660549632025,
      1.6369376755744567,
      1.639154651620047,
      1.6413127214840986,
      1.6434131165681256,
      1.645457055884566,
      1.64744574890533,
      1.649380395029952,
      1.6512621826265175,
      1.6530922883097148,
      1.6548718943117704,
      1.6566021908318591,
      1.6582843508042904,
      1.6599195275488987,
      1.6615088545568328,
      1.6630534460410935,
      1.6645543967793974,
      1.6660127821166284,
      1.6674296580785593,
      1.6688060615991454,
      1.6701430103041917,
      1.6714415029216994,
      1.672702519201985,
      1.6739270200616212,
      1.6751159477496775,
      1.6762702258346085,
      1.6773907595221953,
      1.6784784351871798,
      1.6795341211548092,
      1.680558667800935,
      1.6815529074805708,
      1.6825176544899878,
      1.6834537056229546,
      1.6843618400509603,
      1.6852428200034537,
      1.6860973905706746,
      1.6869262796983286,
      1.687730198578656,
      1.6885098420826932,
      1.6892658889294088,
      1.6899990017959106,
      1.6907098274713477,
      1.6913989970043801,
      1.6920671260992872,
      1.692714815405196,
      1.6933426506482336,
      1.693951203217526,
      1.6945410299338246,
      1.6951126733239943,
      1.6956666623508436,
      1.6962035123778723,
      1.6967237252850589,
      1.6972277897359438,
      1.6977161814947745,
      1.6981893640482892,
      1.6986477883624291,
      1.699091893300264,
      1.6995221060402248,
      1.6999388419861174,
      1.7003425053390877,
      1.7007334891617734,
      1.7011121756470475,
      1.7014789364387806,
      1.7018341327505346,
      1.7021781157909117,
      1.7025112266818747,
      1.7028337969891574,
      1.7031461488985136,
      1.703448595444558,
      1.703741440639921,
      1.7040249798098464,
      1.704299499674525,
      1.7045652787896195,
      1.7048225875819862,
      1.705071688489329,
      1.7053128363054737,
      1.7055462781719537,
      1.7057722542329579,
      1.7059909973261655,
      1.7062027334387069,
      1.7064076819110987,
      1.7066060553382258,
      1.7067980599812203,
      1.7069838959781105,
      1.7071637572515093,
      1.707337831977962,
      1.7075063029068935,
      1.7076693471220323,
      1.707827136161119,
      1.7079798364936958,
      1.708127609390597,
      1.7082706111007335,
      1.7084089931823836,
      1.7085429024805048,
      1.708672481411039,
      1.7087978679420088,
      1.7089191958307035,
      1.7090365945067423,
      1.7091501895672399,
      1.709260102663412,
      1.709366451490575,
      1.7094693504919694,
      1.70956891013996,
      1.7096652374905053,
      1.709758436332344,
      1.7098486070833685,
      1.7099358469428274,
      1.710020250451928,
      1.7101019088859148,
      1.710180910614019,
      1.7102573412572872,
      1.7103312837460989,
      1.710402818277199,
      1.7104720227297459,
      1.710538972167104,
      1.7106037394588225,
      1.7106663952934127,
      1.7107270080396488,
      1.7107856439649891,
      1.7108423668955581,
      1.7108972389454515,
      1.7109503200771168,
      1.7110016682730254,
      1.711051339810228,
      1.7110993892304718,
      1.71114586926044,
      1.7111908306311168,
      1.711234322813656,
      1.7112763934335633,
      1.7113170886521656,
      1.7113564533453387,
      1.7113945308252592,
      1.711431362817176,
      1.7114669896912975,
      1.7115014508480215,
      1.7115347843916218,
      1.7115670270588175,
      1.711598214402507,
      1.7116283810777018,
      1.71165756021253,
      1.711685784051515,
      1.7117130837347228,
      1.7117394893825888,
      1.7117650300288074,
      1.7117897340623034,
      1.7118136288558543,
      1.711836740751195,
      1.7118590954007242,
      1.7118807174993187,
      1.7119016309234387,
      1.711921858819874,
      1.7119414236948807,
      1.7119603473001834,
      1.7119786505702148,
      1.7119963537125016,
      1.7120134765017436,
      1.712030037760409,
      1.7120460558571107,
      1.7120615486456467,
      1.7120765333026862,
      1.7120910264201021,
      1.7121050440467378,
      1.71211860178134,
      1.7121317145097168,
      1.7121443967526264,
      1.7121566628612142,
      1.7121685264497215,
      1.712180000591446,
      1.7121910982693043,
      1.712201831961808,
      1.7122122132802398,
      1.7122222540302587,
      1.7122319652392086,
      1.7122413576585207,
      1.712250441707002,
      1.7122592274142439,
      1.712267724720252,
      1.7122759428597214,
      1.7122838914248928,
      1.7122915791397515,
      1.7122990143637578,
      1.7123062055450002,
      1.712313160452658,
      1.712319886935592,
      1.7123263926128844,
      1.712332684615357,
      1.71233877024278,
      1.7123446562478097,
      1.712350348934017,
      1.712355854813536,
      1.7123611798406593,
      1.7123663299170928,
      1.712371310888697,
      1.7123761282371164,
      1.71238078733105,
      1.7123852934233046,
      1.7123896516478532,
      1.7123938666610408,
      1.7123979433510013,
      1.7124018862246675,
      1.7124056997104171,
      1.7124093879522024,
      1.712412955112415,
      1.7124164053187476,
      1.7124197421533025,
      1.7124229691083153,
      1.71242608988945,
      1.7124291081085237,
      1.7124320270781124,
      1.7124348501148543,
      1.7124375803342335,
      1.7124402206996538,
      1.7124427742242463,
      1.7124452438675224,
      1.7124476324319857,
      1.7124499425107247,
      1.7124521766894163,
      1.7124543373414882,
      1.7124564270336244,
      1.71245844816841,
      1.7124604029829198,
      1.7124622935475042,
      1.7124641220189687,
      1.7124658903342043,
      1.7124676005142818,
      1.7124692545615998,
      1.7124708542044973,
      1.7124724012523032,
      1.7124738975434444,
      1.712475344741045,
      1.7124767446371567,
      1.712478098592267,
      1.712479407788877,
      1.7124806738411718,
      1.7124818983872145,
      1.71248308278292,
      1.7124842282538466,
      1.7124853361996988,
      1.712486407684963,
      1.7124874438960265,
      1.7124884460388428,
      1.7124894155925126,
      1.7124903535455978,
      1.7124912607007212,
      1.7124921378775684,
      1.712492985912445,
      1.7124938060646728,
      1.7124945992530023,
      1.7124953663094162,
      1.7124961083346586,
      1.7124968258330255,
      1.7124975193224075,
      1.7124981900460294,
      1.7124988386494235,
      1.7124994659938026,
      1.7125000728504503,
      1.7125006596968309,
      1.7125012270723634,
      1.7125017756798295,
      1.7125023063849867,
      1.7125028196057928,
      1.7125033158716025,
      1.7125037959245932,
      1.7125042602107852,
      1.7125047091849257,
      1.7125051432085385,
      1.712505562956565,
      1.7125059686032782,
      1.712506360635912,
      1.7125067399561393,
      1.7125071070657947,
      1.712507462371742,
      1.7125078060839665,
      1.7125081386223189,
      1.7125084604128138,
      1.7125087717857272,
      1.712509073077103,
      1.7125093647302814,
      1.7125096468888021,
      1.7125099198031668,
      1.7125101837290042,
      1.712510438723497,
      1.712510685052212,
      1.7125109231380917,
      1.7125111535612205,
      1.7125113765499378,
      1.7125115923875212
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360539008873218,
      11.184506443283311,
      10.997324030222458,
      10.800029684326923,
      10.59381226340815,
      10.37992349383413,
      10.159670908067431,
      9.93448589764691,
      9.705860791044246,
      9.475275012730634,
      9.24415525679194,
      9.013803515949729,
      8.785372035610955,
      8.55984933905901,
      8.338034277564288,
      8.120522833088941,
      7.907702610831133,
      7.6997589578065195,
      7.496691488711748,
      7.298337308446449,
      7.104398522982531,
      6.914470584951947,
      6.728067838094275,
      6.544654468418144,
      6.363672015326199,
      6.184563336424358,
      6.006792528335533,
      5.82985420390453,
      5.653293963090581,
      5.476720137275837,
      5.299819783846699,
      5.122379223653236,
      4.944293353130882,
      4.765575728152789,
      4.586346953104746,
      4.406808964113727,
      4.227271770066957,
      4.048164820949757,
      3.870018958246189,
      3.6934246543324663,
      3.519012712933848,
      3.347443053315599,
      3.1793806005948104,
      3.0154762362284195,
      2.856344476040251,
      2.7025407789259868,
      2.5545480985766416,
      2.4127690230840537,
      2.2775213580045373,
      2.1490372088125973,
      2.0274660040321484,
      1.9128800024457258,
      1.8052821255077536,
      1.7046149288142003,
      1.6107699043112516,
      1.5235964463695608,
      1.442911159285803,
      1.3685058743311984,
      1.3001547175632484,
      1.2376211488105933,
      1.1806656484644202,
      1.1290481045773468,
      1.0825329557028385,
      1.0408943376173518,
      1.003920118051611,
      0.9714104766364605,
      0.9431736833437826,
      0.9190174168970044,
      0.8987321218042355,
      0.8820538039595476,
      0.8686535933971339,
      0.8581726304729124,
      0.8502381762115976,
      0.8445088412093038,
      0.8407138861748205,
      0.8386189959876384,
      0.8380148799083095,
      0.8387176522137916,
      0.8405708134547487,
      0.8434396762715112,
      0.8472051999250696,
      0.851762174723383,
      0.8570162042801197,
      0.8628809357567877,
      0.8692770786753181,
      0.8761340217247396,
      0.8833899784131839,
      0.8909909323954855,
      0.898889910215109,
      0.9070458081533334,
      0.9154225213583567,
      0.9239883560621183,
      0.9327161159831348,
      0.941582269995048,
      0.9505659268860288,
      0.9596485043622555,
      0.96881344035577,
      0.9780464777886136,
      0.987335371080825,
      0.9966690799055774,
      1.0060376099850938,
      1.0154318866634737,
      1.0248434242904505,
      1.034264479158401,
      1.0436881257675725,
      1.053107999759369,
      1.0625182328212037,
      1.0719133949229493,
      1.08128844442403,
      1.0906386842152909,
      1.0999597241665673,
      1.1092474482332788,
      1.1184982805966306,
      1.1277091430331534,
      1.1368770863853452,
      1.145999268700196,
      1.1550729472329686,
      1.1640954728507669,
      1.173064284263823,
      1.1819769039915795,
      1.1908309346654646,
      1.1996240561551157,
      1.2083540233945689,
      1.2170186644815646,
      1.225615879335912,
      1.2341436386948519,
      1.2425999832240198,
      1.2509830229803776,
      1.2592909373626089,
      1.2675219747690885,
      1.2756744524550672,
      1.2837467572337835,
      1.2917373452248262,
      1.299644741905077,
      1.3074675426996805,
      1.3152044131309333,
      1.3228540892210137,
      1.3304153774204475,
      1.337887154656542,
      1.3452683688423621,
      1.3525580388640783,
      1.3597552546420666,
      1.3668591767927334,
      1.3738690365880535,
      1.3807841359948345,
      1.3876038628859166,
      1.3943278283945182,
      1.400955795603062,
      1.4074875613965212,
      1.413922959700128,
      1.4202618623867753,
      1.4265041795782405,
      1.43264986528539,
      1.4386989196345041,
      1.4446513896072029,
      1.4505073695590702,
      1.4562670016631842,
      1.4619304762216028,
      1.4674980310248766,
      1.4729699516865742,
      1.4783465259491155,
      1.4836280339312713,
      1.4888148092604563,
      1.4939072427251903,
      1.4989057804293975,
      1.5038109209693853,
      1.5086232134083337,
      1.5133432552808923,
      1.517971690267916,
      1.522509206249886,
      1.5269565330750132,
      1.5313144405481105,
      1.535583736129747,
      1.5397652631070649,
      1.5438598969464419,
      1.5478685421667993,
      1.5517921330903408,
      1.555631632265835,
      1.5593880287520026,
      1.5630623359565434,
      1.566655590049003,
      1.570168847575444,
      1.5736031842600708,
      1.576959693062765,
      1.5802394827151829,
      1.5834436758220138,
      1.5865734071909199,
      1.5896298223936332,
      1.5926140761539018,
      1.5955273310227711,
      1.5983707559879965,
      1.6011455246644448,
      1.603852814340072,
      1.6064938048632693,
      1.6090696770186073,
      1.611581611513119,
      1.6140307881185194,
      1.616418383751808,
      1.6187455719897628,
      1.6210135222911735,
      1.6232233987264533,
      1.6253763588790162,
      1.6274735533793478,
      1.6295161250575527,
      1.6315052079717047,
      1.633441927128822,
      1.6353273970702853,
      1.6371627218678206,
      1.6389489941422877,
      1.640687294786485,
      1.6423786927333999,
      1.6440242507234568,
      1.645625043631745,
      1.6471821349319709,
      1.6486965686248987,
      1.650169370177356,
      1.6516015461488684,
      1.6529940843901316,
      1.6543479546628732,
      1.6556641086657595,
      1.6569434794174736,
      1.6581869824403987,
      1.6593955155929745,
      1.6605699593835288,
      1.6617111768516926,
      1.6628200134258968,
      1.6638972979283408,
      1.6649438422364176,
      1.66596044168737,
      1.6669478745998398,
      1.6679069029991243,
      1.6688382730212101,
      1.6697427145389183,
      1.670620941537194,
      1.6714736522213407,
      1.6723015297236858,
      1.6731052417820134,
      1.6738854409673025,
      1.6746427646479904,
      1.675377835708681,
      1.676091262752389,
      1.6767836400412728,
      1.6774555477869977,
      1.6781075522825581,
      1.6787402062323948,
      1.6793540489250662,
      1.67994960660515,
      1.6805273924853505,
      1.681087907365525,
      1.6816316392315251,
      1.6821590637671417,
      1.6826706447112536,
      1.6831668341623096,
      1.6836480725251823,
      1.6841147889145673,
      1.6845674010997076,
      1.685006315906235,
      1.685431929973618,
      1.6858446291389368,
      1.686244789041351,
      1.686632775269041,
      1.6870089437606888,
      1.6873736408005744,
      1.6877272031159962,
      1.6880699583823928,
      1.6884022254241366,
      1.6887243141110813,
      1.6890365257649174,
      1.6893391536683269,
      1.6896324829141531,
      1.6899167903066543,
      1.6901923451289993,
      1.6904594094033907,
      1.6907182372371494,
      1.6909690757979536,
      1.6912121652734053,
      1.691447738781237,
      1.6916760229424117,
      1.6918972376420858,
      1.6921115967585354,
      1.6923193081307761,
      1.6925205732734367,
      1.6927155879072289,
      1.6929045420841506,
      1.6930876203143557,
      1.6932650018472315,
      1.6934368607506443,
      1.6936033655340654,
      1.693764680044953,
      1.693920963146056,
      1.6940723693606876,
      1.6942190484004915,
      1.694361145406893,
      1.6944988011433388,
      1.6946321525450312,
      1.6947613322528834,
      1.6948864687592862,
      1.6950076868606112,
      1.6951251075515974,
      1.695238848378921,
      1.6953490231348416,
      1.695455742416942,
      1.6955591129684713,
      1.6956592388511587,
      1.695756220889791,
      1.6958501567284556,
      1.6959411409897491,
      1.6960292654351932,
      1.6961146188725682,
      1.6961972877764548,
      1.6962773557908621,
      1.6963549040976127,
      1.6964300113788562,
      1.6965027537807233,
      1.696573204979674,
      1.6966414364534246,
      1.6967075177019317,
      1.6967715161132244,
      1.696833496728322,
      1.6968935226176962,
      1.6969516550550015,
      1.6970079535899005,
      1.6970624756130717,
      1.697115276735941,
      1.6971664110694817,
      1.6972159306899195,
      1.6972638863260014,
      1.6973103271313692,
      1.6973553007120032,
      1.6973988533068658,
      1.6974410296640647,
      1.6974818730702554,
      1.697521425177271,
      1.6975597268975817,
      1.697596817316571,
      1.6976327347925733,
      1.6976675162263544,
      1.6977011973484293,
      1.6977338127526393,
      1.6977653961845562,
      1.6977959802199762,
      1.6978255961982722,
      1.6978542749699972,
      1.6978820458647643,
      1.6979089373889715,
      1.6979349775170725,
      1.697960192915051,
      1.6979846098428566,
      1.6980082534804777,
      1.6980311480681523,
      1.6980533174539696,
      1.6980747843701856,
      1.6980955712866759,
      1.6981156996370543,
      1.6981351901132753,
      1.698154062960674,
      1.6981723376628595,
      1.6981900331864477,
      1.69820716776826,
      1.6982237591606766,
      1.6982398245211539,
      1.698255380556384,
      1.6982704434631801,
      1.698285028818765,
      1.6982991516748227,
      1.6983128266517808,
      1.6983260678807433,
      1.6983388891490927,
      1.6983513038936455,
      1.698363324888882,
      1.698374964647496,
      1.6983862352107504,
      1.6983971482951092,
      1.6984077151847279,
      1.6984179469801295,
      1.6984278542367046,
      1.6984374470612273,
      1.6984467355136847,
      1.6984557292971445,
      1.6984644379055014,
      1.6984728702119174,
      1.69848103471869,
      1.6984889400108034,
      1.698496594446465,
      1.6985040059495533,
      1.6985111824125223,
      1.6985181311838937,
      1.6985248591663271,
      1.698531373423502,
      1.6985376807697452,
      1.6985437878174832,
      1.6985497010756483,
      1.6985554264887486,
      1.698560970145907,
      1.6985663378201146,
      1.6985715352196549,
      1.6985765676292386,
      1.6985814401616617,
      1.6985861579586938,
      1.698590725883381,
      1.6985951487210453,
      1.6985994309226284,
      1.698603577110994,
      1.6986075918243964,
      1.6986114791582059,
      1.6986152429662547,
      1.6986188872149504,
      1.6986224156761685,
      1.6986258321796293,
      1.698629140204136,
      1.6986323433844175,
      1.698635445000753,
      1.6986384481807433,
      1.6986413561011835,
      1.6986441716813223,
      1.6986468977848517,
      1.6986495373202057,
      1.6986520930356528,
      1.6986545676196556,
      1.6986569636995104,
      1.698659283738343,
      1.6986615300338428,
      1.6986637050223121,
      1.6986658107688288,
      1.6986678497291061,
      1.6986698240871076,
      1.6986717360082513,
      1.6986735873331507,
      1.6986753798310215,
      1.6986771153513496,
      1.698678795670404,
      1.698680422388645,
      1.6986819974384533,
      1.6986835222695043,
      1.6986849984582988,
      1.6986864278090927,
      1.6986878118444404,
      1.6986891518552638,
      1.698690449307062,
      1.6986917057375086,
      1.6986929222470706,
      1.698694100007026,
      1.6986952402589026,
      1.6986963445681589,
      1.6986974139079192,
      1.6986984492179447,
      1.698699451811035,
      1.6987004227112164,
      1.6987013626531957,
      1.6987022724888947,
      1.698703153288744,
      1.6987040060868521,
      1.698704831931319,
      1.6987056316803197,
      1.69870640610333,
      1.6987071557282258,
      1.6987078814004462,
      1.6987085837739893,
      1.698709263921368,
      1.6987099226210827,
      1.6987105603571961,
      1.698711177725973,
      1.6987117753847443,
      1.6987123540515343,
      1.6987129141996355,
      1.6987134566675943,
      1.6987139820993487,
      1.6987144909439382,
      1.698714983760419,
      1.698715460912444,
      1.698715923076642,
      1.6987163706319992,
      1.6987168037613802,
      1.69871722296001,
      1.6987176286283776,
      1.6987180212754567,
      1.6987184013150367,
      1.6987187693706491,
      1.6987191260718153,
      1.6987194716468552,
      1.6987198061262356,
      1.6987201297493935,
      1.698720442964652,
      1.6987207461747034,
      1.6987210398380674,
      1.6987213242654933
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360523352134937,
      11.184437048050519,
      10.99717604867805,
      10.79978935091622,
      10.593478444860443,
      10.379503620937117,
      10.159179947199872,
      9.933942063385627,
      9.705286482469344,
      9.47469683772069,
      9.243598533248301,
      9.01328913727266,
      8.784919113497152,
      8.559476677387417,
      8.3377598575085,
      8.120363499812894,
      7.907673862070567,
      7.699875029811637,
      7.496965567289199,
      7.2987817902721845,
      7.105025329458343,
      6.915291573186966,
      6.729095213805072,
      6.545900923750241,
      6.365150945251095,
      6.186288981847457,
      6.008780193855384,
      5.832120674634036,
      5.655856830462266,
      5.479597372661902,
      5.303029427485705,
      5.125938956555298,
      4.948219993077053,
      4.769884886166853,
      4.591052445061979,
      4.411922253914187,
      4.232800223609186,
      4.054111102191945,
      3.8763814332206756,
      3.700197406690183,
      3.526186369352751,
      3.3550051808756933,
      3.1873162291568153,
      3.0237679945837197,
      2.8649737541005353,
      2.711488778350167,
      2.563796707836271,
      2.422301667697658,
      2.2873233035245333,
      2.1590960050044465,
      2.037771590357975,
      1.9234249048626084,
      1.8160615173654397,
      1.7156265800978292,
      1.6220140367823168,
      1.535075525708079,
      1.4546297261434173,
      1.3804703464672543,
      1.312373163366692,
      1.2501037103421873,
      1.1934243550344656,
      1.1420960233015127,
      1.0958851560192382,
      1.054568152438217,
      1.0179350599437618,
      0.9857867054576256,
      0.95793074045638,
      0.9341713209774081,
      0.9142845214813099,
      0.8979814782037142,
      0.8849144966589718,
      0.8747098052092728,
      0.8669873477816935,
      0.8614194397982781,
      0.8577442145350207,
      0.8557296433102956,
      0.8551695400228397,
      0.8558838901067249,
      0.8577204092479368,
      0.8605466147229067,
      0.8642454727539837,
      0.8687129188733432,
      0.8738542661902521,
      0.8795845405274114,
      0.8858260075289229,
      0.8925098946552259,
      0.8995764112663844,
      0.9069733893315636,
      0.9146551303639985,
      0.9225815661854,
      0.9307175288420624,
      0.9390321155617096,
      0.9474986794792157,
      0.9560943361236753,
      0.9647988324757611,
      0.9735941726893962,
      0.9824644236473994,
      0.9913959899342116,
      1.0003770262142324,
      1.009396856636768,
      1.0184458094488813,
      1.027514877436478,
      1.0365959913839273,
      1.0456818986008063,
      1.054765972112288,
      1.0638421367267343,
      1.0729048048826906,
      1.0819488203492875,
      1.0909694089962356,
      1.099962136583925,
      1.1089228714578465,
      1.117847752081397,
      1.1267331641369802,
      1.135576011575489,
      1.1443736260241562,
      1.1531234399236918,
      1.161822980145596,
      1.1704698619505582,
      1.179061784490078,
      1.1875965266062998,
      1.1960719438235121,
      1.204485965492986,
      1.2128365924778635,
      1.2211218954105874,
      1.2293400136062647,
      1.2374891538522585,
      1.2455675892605809,
      1.2535736589801532,
      1.2615057678891497,
      1.2693623860986647,
      1.2771420489140546,
      1.2848433563230846,
      1.292464973521352,
      1.3000056309350578,
      1.3074641238791593,
      1.314839313056555,
      1.3221301242061425,
      1.3293355482075842,
      1.3364546410694969,
      1.3434865239907139,
      1.3504303833285667,
      1.3572854700538535,
      1.3640510996967365,
      1.3707266522109167,
      1.3773115713879522,
      1.3838053691496583,
      1.3902077582634946,
      1.3965186148292914,
      1.4027378430130621,
      1.4088653777914668,
      1.4149011876976803,
      1.4208452768035735,
      1.426697686340976,
      1.4324584957539426,
      1.4381278240422553,
      1.4437058302722154,
      1.4491927141149994,
      1.4545887159498805,
      1.45989411693467,
      1.4651092393950622,
      1.4702344459010948,
      1.475270138755862,
      1.4802167473804415,
      1.4850746772377956,
      1.4898443547652924,
      1.494526255715696,
      1.4991209025721215,
      1.503628862721057,
      1.5080507461081951,
      1.51238720313693,
      1.5166389226033012,
      1.5208066295126548,
      1.5248910832847946,
      1.5288930757868655,
      1.532813429345474,
      1.5366529948900665,
      1.5404126500237776,
      1.5440932975812325,
      1.547695863656449,
      1.5512212955590958,
      1.5546705606154951,
      1.5580446442386986,
      1.5613445484387825,
      1.5645712902661952,
      1.5677259003424198,
      1.5708094213271941,
      1.573822906222525,
      1.5767674175328648,
      1.5796440254526158,
      1.5824538067108942,
      1.5851978434147531,
      1.5878772215373214,
      1.5904930299180855,
      1.5930463594727433,
      1.5955383016997413,
      1.5979699475034368,
      1.6003423862857682,
      1.6026567052073908,
      1.6049139881123926,
      1.6071153147296702,
      1.609261759848483,
      1.6113543926234712,
      1.6133942754014519,
      1.6153824633951248,
      1.6173200037820938,
      1.6192079355033717,
      1.6210472881871143,
      1.6228390817768779,
      1.6245843260529855,
      1.626284020303713,
      1.6279391526908704,
      1.6295506995663247,
      1.6311196254538796,
      1.6326468827321678,
      1.6341334181414506,
      1.6355801880975154,
      1.6369881370364885,
      1.6383581913360683,
      1.6396912596113165,
      1.6409882331307162,
      1.6422499858963995,
      1.643477375000652,
      1.6446712407516404,
      1.6458324069259047,
      1.646961680996507,
      1.6480598545416925,
      1.6491277030215514,
      1.6501659862972786,
      1.6511754485718884,
      1.6521568189232934,
      1.6531108112101751,
      1.654038124419821,
      1.6549394427468611,
      1.6558154357091261,
      1.6566667584539643,
      1.6574940519508898,
      1.6582979431221345,
      1.6590790450645225,
      1.6598379574650994,
      1.6605752663974134,
      1.6612915444655685,
      1.6619873512967565,
      1.6626632339758054,
      1.6633197268119764,
      1.6639573516084214,
      1.6645766178245376,
      1.665178022885923,
      1.6657620522864185,
      1.6663291800420705,
      1.6668798686836142,
      1.6674145693982303,
      1.6679337225243938,
      1.6684377573319922,
      1.668927092359637,
      1.6694021360043283,
      1.6698632862445923,
      1.6703109308707962,
      1.6707454482228445,
      1.6711672069095083,
      1.671576565832065,
      1.6719738748177442,
      1.6723594744897088,
      1.6727336965437225,
      1.673096864482347,
      1.6734492926705942,
      1.6737912875280967,
      1.67412314734813,
      1.674445162422124,
      1.6747576153681352,
      1.6750607812054594,
      1.6753549272264971,
      1.6756403138357594,
      1.6759171944740008,
      1.6761858153906124,
      1.6764464163324477,
      1.676699230419773,
      1.6769444841249024,
      1.6771823978114555,
      1.67741318556251,
      1.6776370558237272,
      1.6778542111828192,
      1.6780648487096306,
      1.678269159585268,
      1.6784673299531714,
      1.6786595403472042,
      1.6788459664433821,
      1.6790267789480846,
      1.6792021437418,
      1.6793722218205476,
      1.6795371696964,
      1.6796971395956515,
      1.6798522792003485,
      1.6800027319505864,
      1.6801486371444956,
      1.6802901300903268,
      1.6804273421579043,
      1.6805604012889779,
      1.6806894311354,
      1.6808145519786677,
      1.6809358808368164,
      1.6810535311653592,
      1.681167612966251,
      1.6812782331014653,
      1.6813854953532494,
      1.6814895005362258,
      1.681590346356204,
      1.6816881279312144,
      1.6817829374487556,
      1.681874864180147,
      1.6819639948518093,
      1.6820504135598184,
      1.6821342019396182,
      1.6822154397434588,
      1.682294203740177,
      1.682370568548669,
      1.6824446066584713,
      1.6825163884001995,
      1.6825859820693783,
      1.6826534538984335,
      1.6827188678260556,
      1.6827822862337256,
      1.6828437697673944,
      1.6829033770071544,
      1.6829611647481117,
      1.683017188434456,
      1.6830715015769013,
      1.6831241559337489,
      1.683175201896091,
      1.683224688364939,
      1.6832726627815033,
      1.6833191709037907,
      1.683364257194159,
      1.6834079649530935,
      1.6834503361483129,
      1.6834914117020878,
      1.683531230965261,
      1.6835698323108124,
      1.683607252914084,
      1.6836435284317353,
      1.683678693901978,
      1.6837127832209906,
      1.6837458290266607,
      1.6837778631931835,
      1.683808916766497,
      1.6838390195949082,
      1.6838682004179817,
      1.6838964876170115,
      1.6839239082873467,
      1.6839504888877856,
      1.6839762550257458,
      1.6840012316496071,
      1.6840254431396249,
      1.6840489126361704,
      1.6840716630977197,
      1.6840937162737064,
      1.684115093559688,
      1.6841358157845707,
      1.6841559028455277,
      1.6841753741061982,
      1.6841942481848136,
      1.6842125435563806,
      1.6842302778325893,
      1.684247468262684,
      1.684264131471635,
      1.6842802837580308,
      1.6842959405783295,
      1.6843111171503855,
      1.6843258281925317,
      1.6843400880188049,
      1.6843539103800635,
      1.6843673086105537,
      1.6843802955712277,
      1.6843928841526181,
      1.6844050864554458,
      1.6844169142430483,
      1.684428379190465,
      1.6844394922181498,
      1.6844502640974752,
      1.684460705496821,
      1.684470826468278,
      1.6844806368501124,
      1.6844901459064079,
      1.684499362882401,
      1.6845082967970078,
      1.68451695648966,
      1.6845253503112525,
      1.68453348652732,
      1.6845413729584036,
      1.6845490172817237,
      1.6845564270786133,
      1.6845636093226173,
      1.6845705709867034,
      1.6845773189892987,
      1.6845838598861127,
      1.6845901999180521,
      1.6845963453644706,
      1.684602302082672,
      1.684608075963049,
      1.6846136726213121,
      1.6846190974977018,
      1.6846243558545948,
      1.6846294528758987,
      1.684634393562996,
      1.6846391823765279,
      1.6846438240481776,
      1.6846483229682518,
      1.6846526835397322,
      1.6846569100746194,
      1.6846610069446004,
      1.684664977968792,
      1.6846688271749106,
      1.684672558288883,
      1.6846761747332377,
      1.6846796802867214,
      1.684683078065435,
      1.6846863713352103,
      1.6846895633067216,
      1.6846926572866112,
      1.6846956563709092,
      1.6846985635453098,
      1.6847013813787373,
      1.6847041124799291,
      1.6847067596997034,
      1.6847093256719814,
      1.6847118128125622,
      1.6847142233180934,
      1.6847165598771112,
      1.6847188247025207,
      1.6847210200391942,
      1.6847231479595373,
      1.6847252104642894,
      1.6847272095833483,
      1.6847291470697179,
      1.684731025110758,
      1.6847328455134463,
      1.6847346098052953,
      1.6847363199965772,
      1.6847379776639553,
      1.6847395844075084,
      1.6847411419517273,
      1.68474265168704,
      1.684744114872609,
      1.6847455332969419,
      1.6847469081581856,
      1.6847482408773806,
      1.6847495326909194,
      1.6847507848533911,
      1.6847519985354011,
      1.684753174924701,
      1.6847543151239557,
      1.6847554204554103,
      1.6847564919516977,
      1.6847575304571083,
      1.684758537135799,
      1.6847595129118336,
      1.6847604587739067,
      1.6847613755714916,
      1.6847622641161593,
      1.684763125028654,
      1.6847639592980428,
      1.6847647679252928,
      1.6847655518719584,
      1.6847663118054321,
      1.684767048607261,
      1.6847677628641566,
      1.684768455172876,
      1.6847691259873996,
      1.6847697761273204,
      1.6847704064723128,
      1.684771017453144,
      1.684771609712647,
      1.684772183698578,
      1.684772739968553,
      1.6847732789863898,
      1.684773801223606,
      1.684774307362627,
      1.6847747978896292,
      1.6847752735012045,
      1.6847757346971601,
      1.68477618178028,
      1.684776615059651,
      1.684777034850516,
      1.684777441677581,
      1.684777835867909,
      1.684778217957632,
      1.6847785883865467
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360507635480477,
      11.184367463914228,
      10.997027644362523,
      10.79954811705872,
      10.59314276446115,
      10.379080347868985,
      10.158683365323778,
      9.933389752744501,
      9.704700128242226,
      9.474102344178712,
      9.243019363258332,
      9.012744358434704,
      8.784427573018437,
      8.559056901025862,
      8.337429538931936,
      8.12013918009283,
      7.907570714625307,
      7.699906944867193,
      7.497145346520377,
      7.299121398638865,
      7.105536203320637,
      6.915985017390024,
      6.729982802443268,
      6.546994659651269,
      6.366463483253693,
      6.187833781411271,
      6.01057174452768,
      5.834174901069307,
      5.65819045173328,
      5.482227498327498,
      5.305973307271575,
      5.129213584277838,
      4.951841683442119,
      4.773868922441423,
      4.595412520477582,
      4.416669959468462,
      4.23794335102746,
      4.059653402917427,
      3.8823223174286143,
      3.7065323437929822,
      3.532907532492235,
      3.3621017956024115,
      3.1947750821717955,
      3.031573492265274,
      2.873108970235038,
      2.7199364803476787,
      2.5725402222601765,
      2.4313256503926333,
      2.296613993506439,
      2.1686416807386713,
      2.047562691572277,
      1.933454225318792,
      1.8263242766621188,
      1.7261203873097293,
      1.6327387685954673,
      1.54603314060197,
      1.4658241124727238,
      1.3919071441973345,
      1.324059555465871,
      1.2620490496328283,
      1.2056395634032062,
      1.1545935223314685,
      1.108679248634427,
      1.0676752732870491,
      1.0313733153655587,
      0.9995746976628668,
      0.9720864344581431,
      0.9487071670800749,
      0.9291957182731482,
      0.9132388756395409,
      0.9004726271116344,
      0.8905087625115833,
      0.8829666757843785,
      0.8775331709039539,
      0.8739519710969953,
      0.8719933691540761,
      0.8714544223240535,
      0.8721592221089381,
      0.8739588975983117,
      0.8767231289750285,
      0.8803366828963876,
      0.8846953906505945,
      0.8897056509993793,
      0.8952842275486933,
      0.9013553936408627,
      0.9078525412548655,
      0.9147174506981346,
      0.9218991995145089,
      0.9293532133822692,
      0.9370404402573154,
      0.9449266325086314,
      0.952981722433981,
      0.9611795144000347,
      0.9694976739705001,
      0.9779165931139874,
      0.9864188686422956,
      0.9949891734633285,
      1.0036145000873125,
      1.0122834081968977,
      1.0209855441446927,
      1.0297113694483244,
      1.0384524027037143,
      1.0472010123032613,
      1.0559502626971655,
      1.0646938314798218,
      1.0734259370846875,
      1.0821412758016744,
      1.0908349666549884,
      1.0995025037197819,
      1.108139714308108,
      1.1167427224380628,
      1.1253079178298262,
      1.133831927940029,
      1.1423115940662203,
      1.150744158831508,
      1.1591273060622613,
      1.1674588408490298,
      1.1757366490579617,
      1.183958693408553,
      1.1921230099894162,
      1.2002277051415238,
      1.2082709535036444,
      1.216250996083642,
      1.224166138745772,
      1.232014750793017,
      1.2397952641879242,
      1.2475061730416002,
      1.2551460325932975,
      1.2627134585307291,
      1.2702071275019007,
      1.2776257763637433,
      1.2849682022397146,
      1.2922332621010415,
      1.2994198731306996,
      1.306527012076603,
      1.3135537154634918,
      1.32049907937936,
      1.3273622597396872,
      1.3341424718476602,
      1.3408389902049194,
      1.3474511482555998,
      1.3539783384083972,
      1.3604200114100364,
      1.36677567597465,
      1.3730448982511883,
      1.379227301779787,
      1.3853226536343686,
      1.391330908071559,
      1.3972520636270223,
      1.403086143638373,
      1.4088331985335156,
      1.414493308012092,
      1.4200665827103196,
      1.4255531653463227,
      1.4309532320037683,
      1.4362669928891607,
      1.441494692610347,
      1.4466366108371682,
      1.4516930618151251,
      1.4566643947629905,
      1.4615509936761684,
      1.4663532767363647,
      1.4710716958329413,
      1.475706735939101,
      1.4802589143911355,
      1.4847287713201165,
      1.4891168217286646,
      1.493423589594431,
      1.4976496395770327,
      1.501795574599593,
      1.5058620338901363,
      1.5098496908701484,
      1.513759250735889,
      1.517591448900815,
      1.521347048924809,
      1.5250268407941705,
      1.528631639094206,
      1.5321622811250923,
      1.535619625469837,
      1.5390045499974438,
      1.5423179507769256,
      1.5455607403771563,
      1.548733846011337,
      1.5518382082392985,
      1.5548747798730291,
      1.5578445244257064,
      1.5607484148688306,
      1.5635874324448833,
      1.5663625651304867,
      1.5690748067183944,
      1.5717251557065497,
      1.574314613894597,
      1.5768441856563895,
      1.5793148767208696,
      1.581727693277369,
      1.5840836412550254,
      1.5863837249648045,
      1.5886289465306058,
      1.5908203051962522,
      1.5929587963072258,
      1.5950454107832521,
      1.5970811342194116,
      1.5990669462283882,
      1.601003820026145,
      1.6028927217037643,
      1.6047346096962827,
      1.6065304341455384,
      1.6082811366169383,
      1.6099876493075818,
      1.6116508948667858,
      1.6132717861698154,
      1.6148512256398548,
      1.6163901051374376,
      1.6178893055544952,
      1.619349696369228,
      1.6207721355704219,
      1.6221574693426457,
      1.6235065320734334,
      1.6248201583823123,
      1.6260991863678544,
      1.627344439358496,
      1.6285567238601015,
      1.6297368300715906,
      1.6308855323759648,
      1.632003589553716,
      1.6330917450759248,
      1.634150727020512,
      1.6351812489861022,
      1.636184009766627,
      1.6371596936187771,
      1.6381089708690624,
      1.639032497691504,
      1.6399309166336868,
      1.6408048566204756,
      1.6416549333517028,
      1.642481749331756,
      1.643285894040403,
      1.644067944296492,
      1.6448284643065125,
      1.645568005856451,
      1.6462871086476845,
      1.6469863005229761,
      1.6476660973289303,
      1.6483270032292716,
      1.6489695110116676,
      1.6495941020325553,
      1.6502012466142026,
      1.650791404284046,
      1.6513650240601763,
      1.651922544122133,
      1.6524643923424425,
      1.6529909866619372,
      1.6535027349022429,
      1.6540000348805046,
      1.654483275080857,
      1.654952834458838,
      1.6554090828538899,
      1.6558523809929646,
      1.6562830804416162,
      1.6567015243164556,
      1.6571080470299433,
      1.6575029745934546,
      1.6578866251736875,
      1.6582593084784236,
      1.6586213264131242,
      1.6589729733810397,
      1.6593145361759418,
      1.659646294230589,
      1.6599685195598517,
      1.6602814773650076,
      1.660585425773367,
      1.6608806162900633,
      1.6611672937922626,
      1.6614456968288205,
      1.661716057462457,
      1.6619786017226712,
      1.6622335496522493,
      1.6624811153542383,
      1.6627215071919978,
      1.6629549279899312,
      1.6631815752347459,
      1.6634016409213714,
      1.6636153119081383,
      1.6638227696624013,
      1.6640241912784446,
      1.6642197486650594,
      1.6644096091071705,
      1.6645939353196888,
      1.664772885705489,
      1.6649466140548173,
      1.665115270008388,
      1.6652789991144918,
      1.6654379427851198,
      1.6655922387616071,
      1.6657420207672198,
      1.6658874187201251,
      1.6660285590998067,
      1.6661655646021893,
      1.6662985546094335,
      1.6664276452536224,
      1.6665529492778284,
      1.6666745763557052,
      1.6667926329541607,
      1.6669072226036878,
      1.6670184458134856,
      1.6671264005468356,
      1.667231181730764,
      1.667332881631214,
      1.6674315899237453,
      1.6675273935107078,
      1.6676203771529239,
      1.6677106230339436,
      1.6677982109862088,
      1.6678832185653218,
      1.667965720921574,
      1.6680457914859363,
      1.668123501181613,
      1.668198919162176,
      1.6682721124821906,
      1.6683431463279106,
      1.6684120838417082,
      1.668478986303152,
      1.668543913514156,
      1.6686069230656309,
      1.6686680714866995,
      1.668727413410649,
      1.6687850017079333,
      1.6688408881282857,
      1.6688951226208621,
      1.6689477536213089,
      1.6689988282376174,
      1.6690483921821648,
      1.6690964901619176,
      1.6691431650991893,
      1.6691884588279566,
      1.6692324120785305,
      1.6692750643100078,
      1.6693164539500636,
      1.6693566184315702,
      1.6693955938736247,
      1.6694334151699097,
      1.66947011617917,
      1.669505729966972,
      1.6695402886407809,
      1.669573823388884,
      1.669606364570447,
      1.6696379416024654,
      1.6696685827961493,
      1.6696983158040994,
      1.669727167457296,
      1.6697551638058992,
      1.6697823301094594,
      1.6698086910308492,
      1.6698342702200628,
      1.669859090712158,
      1.6698831750203158,
      1.6699065449238304,
      1.6699292216124884,
      1.6699512256276463,
      1.6699725768544393,
      1.669993294514242,
      1.67001339746253,
      1.67003290382566,
      1.6700518312482584,
      1.670070196886547,
      1.6700880175034993,
      1.670105309208113,
      1.6701220875001388,
      1.6701383676710266,
      1.6701541646455405,
      1.6701694925691055,
      1.6701843653618795,
      1.6701987966116973,
      1.6702127993145495,
      1.670226385971333,
      1.6702395692442153,
      1.6702523608837254,
      1.6702647727922602,
      1.6702768162058101,
      1.6702885020964644,
      1.6702998410664738,
      1.670310843242466,
      1.6703215185766807,
      1.6703318766396957,
      1.670341927023659,
      1.6703516789316657,
      1.670361140970761,
      1.670370321708103,
      1.6703792297184905,
      1.6703878730216015,
      1.6703962594857664,
      1.670404396519778,
      1.6704122917311879,
      1.6704199523639167,
      1.6704273853971687,
      1.6704345975427213,
      1.6704415954966125,
      1.6704483855296992,
      1.6704549736886414,
      1.670461366047868,
      1.6704675685546369,
      1.6704735868741554,
      1.6704794262856475,
      1.6704850921889176,
      1.6704905896953703,
      1.6704959237277406,
      1.670501099119917,
      1.67050612071678,
      1.6705109931688644,
      1.670515720727122,
      1.6705203076481383,
      1.67052475819251,
      1.6705290764705698,
      1.670533266186537,
      1.6705373313490441,
      1.6705412757610403,
      1.670545102916567,
      1.6705488164062743,
      1.6705524196617183,
      1.670555915903213,
      1.6705593083419523,
      1.6705626000262064,
      1.670565793941869,
      1.6705688930112628,
      1.6705718998885848,
      1.6705748171623065,
      1.670577647659323,
      1.6705803939352646,
      1.67058305868034,
      1.67058564420976,
      1.6705881528696447,
      1.6705905869344218,
      1.6705929486059352,
      1.6705952400125936,
      1.670597463310234,
      1.6705996205795854,
      1.670601713723733,
      1.670603744619951,
      1.6706057151189868,
      1.6706076270951626,
      1.6706094822422526,
      1.670611282327063,
      1.670613028680189,
      1.6706147229583845,
      1.6706163667370355,
      1.670617961407823,
      1.6706195084833269,
      1.6706210095456073,
      1.6706224661438491,
      1.6706238794885724,
      1.6706252506546257,
      1.6706265811402377,
      1.6706278721543706,
      1.670629124819693,
      1.6706303401721503,
      1.670631519414846,
      1.670632663714142,
      1.6706337740974817,
      1.6706348513512626,
      1.6706358964782837,
      1.6706369105956147,
      1.6706378946290068,
      1.6706388496176992,
      1.6706397763071243,
      1.6706406754537748,
      1.6706415478249188,
      1.6706423941982664,
      1.6706432152600141,
      1.6706440121131172,
      1.6706447850562351,
      1.6706455349059732,
      1.6706462624879692,
      1.6706469682296925,
      1.6706476530757646,
      1.6706483178772447,
      1.670648962984426,
      1.6706495890604613,
      1.6706501964707952,
      1.670650785893321,
      1.670651357707818,
      1.6706519123009411,
      1.670652450371242,
      1.6706529724203085,
      1.6706534790576981,
      1.6706539707972774,
      1.6706544479553056
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360491956260914,
      11.184298003530268,
      10.996879277687631,
      10.799306508817907,
      10.592805679454735,
      10.378653895641799,
      10.158180998029705,
      9.932828114528258,
      9.704100042562938,
      9.473488896640374,
      9.242414958109073,
      9.012167170044316,
      8.783895923582506,
      8.558588772829347,
      8.33704207587681,
      8.119848341128055,
      7.9073910859851475,
      7.699851845938538,
      7.497226982381992,
      7.2993511024672655,
      7.105924735761495,
      6.916542942976676,
      6.730720874374667,
      6.547924003230138,
      6.36759582156081,
      6.189181596299971,
      6.012148506684157,
      5.835995459890154,
      5.660270440943634,
      5.48458296728241,
      5.308620511770905,
      5.132168627409589,
      4.955120192905917,
      4.777485681066436,
      4.599380991985966,
      4.421001817424003,
      4.2426467988256595,
      4.064732937309286,
      3.887778543275155,
      3.7123624329438387,
      3.539105542995006,
      3.3686589679685683,
      3.201680286386748,
      3.0388132559326406,
      2.880668437593018,
      2.7278003596529623,
      2.580693691927168,
      2.4397548907995734,
      2.305306596903018,
      2.177586932546581,
      2.056751765455405,
      1.9428803805361614,
      1.835982942163888,
      1.7360091360958425,
      1.6428572185393346,
      1.5563828070403336,
      1.4764082784804835,
      1.402730697415916,
      1.3351290020110687,
      1.273372913846288,
      1.21722762650555,
      1.1664569765520258,
      1.1208311242800517,
      1.0801306160751625,
      1.044148693747019,
      1.0126871295146223,
      0.9855512902406109,
      0.9625312738960576,
      0.9433667135991285,
      0.9277240798630868,
      0.9152229484276736,
      0.9054621799186653,
      0.898067045995507,
      0.8927382436121557,
      0.8892234008926442,
      0.8872949091259137,
      0.8867529226062687,
      0.8874256648292816,
      0.8891672331903113,
      0.8918493937186417,
      0.8953575227957267,
      0.8995878824056395,
      0.9044490422931891,
      0.9098599812860421,
      0.9157468279432814,
      0.9220444458757459,
      0.9286959427078053,
      0.9356515943101992,
      0.9428679092505281,
      0.9503068160495552,
      0.9579349561734762,
      0.9657230701429096,
      0.9736454809322552,
      0.9816801668355278,
      0.9898081651039753,
      0.9980126649171367,
      1.0062788985370368,
      1.0145943637648205,
      1.0229479609422816,
      1.0313295590495668,
      1.0397301876628047,
      1.0481417815021994,
      1.056557047570241,
      1.0649693730021834,
      1.073372743656353,
      1.081761673660967,
      1.0901311436739047,
      1.0984765476715255,
      1.106793646072365,
      1.1150785248007242,
      1.1233275596077361,
      1.1315373856938502,
      1.13970487040268,
      1.1478270901232808,
      1.155901309648109,
      1.163925008071019,
      1.171896102749894,
      1.1798127618707914,
      1.1876732196418325,
      1.1954757736712618,
      1.2032187832567367,
      1.2109006677096985,
      1.21851990525978,
      1.226075031660734,
      1.2335646393993918,
      1.2409873773932951,
      1.2483419498416788,
      1.2556271164046038,
      1.2628416917144738,
      1.2699845451744773,
      1.2770546006764396,
      1.2840508364294891,
      1.290972285092057,
      1.2978180335857354,
      1.3045872228341653,
      1.3112790477720395,
      1.3178927573086325,
      1.3244276539300421,
      1.330883093590755,
      1.3372584856813885,
      1.343553292655527,
      1.3497670297128526,
      1.3558992643257195,
      1.361949616006609,
      1.3679177554427877,
      1.373803404566105,
      1.379606356979147,
      1.3853265931172372,
      1.390964194829539,
      1.396519262467122,
      1.4019919172159891,
      1.4073823032176875,
      1.4126905895275603,
      1.4179169713493909,
      1.4230616712564979,
      1.4281249398882816,
      1.43310705678108,
      1.438008330415391,
      1.4428290986975405,
      1.447569728958047,
      1.4522306177693205,
      1.4568121908856442,
      1.4613149026929377,
      1.4657392358274899,
      1.4700857004530383,
      1.474354833906608,
      1.4785471998469613,
      1.482663387260247,
      1.4867040099319953,
      1.490669690159331,
      1.4945610168282317,
      1.4983785963614307,
      1.502123066643949,
      1.5057950949395493,
      1.5093953760219492,
      1.512924630163837,
      1.5163836014915284,
      1.519773055687657,
      1.5230937788727976,
      1.526346575377285,
      1.5295322666923896,
      1.5326516897703444,
      1.5357056955386168,
      1.538695147680144,
      1.5416209210702323,
      1.5444839004816655,
      1.5472849796610033,
      1.5500250600146017,
      1.5527050492110224,
      1.5553258603626117,
      1.557888410821568,
      1.5603936215077538,
      1.5628424157019347,
      1.5652357177640492,
      1.567574452693901,
      1.5698595452137751,
      1.572091919036129,
      1.574272495809676,
      1.5764021945596256,
      1.5784819311154237,
      1.5805126173245025,
      1.5824951601557267,
      1.5844304614065685,
      1.58631941735472,
      1.5881629180000205,
      1.5899618461020364,
      1.5917170773884717,
      1.5934294799017377,
      1.5950999135535722,
      1.596729229584347,
      1.598318270640868,
      1.5998678698976236,
      1.601378851105075,
      1.6028520282441718,
      1.6042882053481804,
      1.6056881761881774,
      1.607052723772866,
      1.6083826206305656,
      1.6096786282980484,
      1.610941497492637,
      1.6121719679006927,
      1.6133707676855937,
      1.6145386150561267,
      1.6156762321193956,
      1.6167843380076405,
      1.6178636367939043,
      1.6189148174926051,
      1.6199385540919842,
      1.620935506738393,
      1.6219063215810907,
      1.622851631262098,
      1.6237720547295833,
      1.6246681980032875,
      1.6255406541633919,
      1.626390003835199,
      1.6272168149496393,
      1.6280216436113903,
      1.6288050339898328,
      1.6295675183524883,
      1.630309617394198,
      1.631031840709956,
      1.6317346866490234,
      1.6324186423646356,
      1.633084184415908,
      1.6337317786507866,
      1.634361880692932,
      1.6349749358630887,
      1.635571379400047,
      1.6361516365746824,
      1.6367161229517342,
      1.637265244799747,
      1.6377993989371888,
      1.63831897282914,
      1.6388243447821125,
      1.6393158845933828,
      1.6397939532308219,
      1.6402589030186165,
      1.6407110779221503,
      1.64115081388143,
      1.6415784385319916,
      1.6419942715851537,
      1.6423986253591014,
      1.642791804341926,
      1.6431741055162443,
      1.6435458186317202,
      1.643907226171296,
      1.6442586038759266,
      1.6446002204546077,
      1.6449323380566507,
      1.6452552121329511,
      1.6455690918562123,
      1.6458742199812453,
      1.6461708330609988,
      1.6464591617640425,
      1.6467394309883985,
      1.6470118596700785,
      1.6472766613036538,
      1.6475340435981685,
      1.647784209150438,
      1.648027355101172,
      1.6482636737068013,
      1.648493352250291,
      1.6487165729013422,
      1.648933513339838,
      1.6491443461588722,
      1.6493492396923906,
      1.6495483578258945,
      1.649741860061846,
      1.6499299016364268,
      1.650112633738412,
      1.6502902033725324,
      1.6504627538336514,
      1.6506304246727825,
      1.6507933514092934,
      1.6509516663626278,
      1.6511054977552153,
      1.6512549702909864,
      1.6514002056327457,
      1.6515413223205404,
      1.6516784355378924,
      1.6518116569804295,
      1.6519410957423082,
      1.6520668579824922,
      1.6521890466931943,
      1.6523077620793605,
      1.6524231016843582,
      1.6525351602618652,
      1.6526440300552878,
      1.6527498007724604,
      1.652852559815212,
      1.6529523920516629,
      1.6530493798942592,
      1.6531436036834934,
      1.6532351413092314,
      1.6533240684428638,
      1.6534104586683362,
      1.6534943839187641,
      1.6535759141505395,
      1.6536551172213383,
      1.6537320587686493,
      1.6538068029026642,
      1.6538794121874485,
      1.6539499469104597,
      1.6540184659801962,
      1.654085026501832,
      1.654149683963628,
      1.6542124922711863,
      1.6542735040364716,
      1.6543327705110809,
      1.65439034116385,
      1.654446264123606,
      1.6545005864188547,
      1.6545533535056964,
      1.6546046097116571,
      1.6546543982729522,
      1.654702760863436,
      1.6547497380903675,
      1.6547953694310022,
      1.65483969332207,
      1.654882746944403,
      1.6549245666182482,
      1.6549651877410612,
      1.6550046443695574,
      1.6550429698193785,
      1.655080196349461,
      1.6551163553553336,
      1.6551514773592184,
      1.6551855917969653,
      1.655218727517336,
      1.6552509125694121,
      1.6552821739902728,
      1.6553125383558498,
      1.6553420312130078,
      1.6553706776308592,
      1.6553985018367374,
      1.6554255274627534,
      1.6554517772839095,
      1.655477273465118,
      1.655502037452346,
      1.655526090016584,
      1.6555494517557863,
      1.6555721425287544,
      1.655594181499576,
      1.655615587334892,
      1.6556363782995804,
      1.6556565720982428,
      1.6556761856660565,
      1.6556952357227102,
      1.6557137384618517,
      1.65573170949493,
      1.6557491641004314,
      1.6557661170154867,
      1.6557825826853163,
      1.6557985750551334,
      1.6558141077181667,
      1.6558291937586025,
      1.655843846103366,
      1.6558580775687326,
      1.655871899889781,
      1.6558853247846443,
      1.6558983637980655,
      1.6559110279924534,
      1.655923327944254,
      1.6559352740964846,
      1.655946876704469,
      1.6559581457307204,
      1.6559690905365256,
      1.6559797205908795,
      1.6559900449587923,
      1.6560000726542992,
      1.6560098120271696,
      1.6560192711161896,
      1.6560284580533766,
      1.6560373806035686,
      1.6560460464670002,
      1.6560544629207525,
      1.6560626372740856,
      1.6560705765608665,
      1.6560782876389402,
      1.656085776984433,
      1.6560930509947651,
      1.6561001157322555,
      1.6561069770746555,
      1.6561136409675166,
      1.6561201130153573,
      1.6561263988866624,
      1.6561325038542594,
      1.6561384332004756,
      1.6561441918593507,
      1.6561497847201363,
      1.6561552166765516,
      1.65616049226915,
      1.6561656159380835,
      1.6561705921742396,
      1.6561754251108312,
      1.6561801188780647,
      1.6561846775508973,
      1.6561891049951185,
      1.65619340512034,
      1.6561975815226924,
      1.6562016377887714,
      1.656205577341881,
      1.6562094035425923,
      1.6562131196876493,
      1.656216728805405,
      1.656220233959991,
      1.6562236383520168,
      1.6562269449106184,
      1.6562301563433357,
      1.6562332752369189,
      1.6562363040564996,
      1.6562392457041994,
      1.6562421027552836,
      1.6562448775081389,
      1.6562475725429913,
      1.6562501900598368,
      1.6562527321828815,
      1.656255201315853,
      1.6562575992257218,
      1.656259928008452,
      1.6562621897322696,
      1.6562643862844177,
      1.65626651972651,
      1.6562685918361213,
      1.6562706043604891,
      1.6562725589650875,
      1.6562744574364814,
      1.6562763012748578,
      1.6562780919986966,
      1.6562798312459834,
      1.6562815204684953,
      1.6562831612364664,
      1.6562847546786168,
      1.656286301990368,
      1.6562878045351663,
      1.656289263945764,
      1.6562906816659022,
      1.656292058644676,
      1.656293395844827,
      1.6562946944458594,
      1.6562959557419215,
      1.6562971807344975,
      1.6562983705389387,
      1.6562995260789442,
      1.6563006484931309,
      1.6563017385243373,
      1.6563027971805464,
      1.6563038252768039,
      1.6563048235366542,
      1.656305792693655,
      1.6563067339488613,
      1.6563076484109518,
      1.6563085367906918,
      1.6563093997058604,
      1.6563102377827608,
      1.6563110513508594,
      1.6563118412564513,
      1.6563126086589102,
      1.6563133540639678,
      1.6563140779338565,
      1.656314780941469,
      1.6563154636649722,
      1.6563161266384645,
      1.6563167704026631,
      1.6563173955555748,
      1.6563180027523217
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.36047635923536,
      11.184228828095355,
      10.996731208893591,
      10.799064872445674,
      10.592467313093088,
      10.378223871570654,
      10.157671966290168,
      9.932255990437277,
      9.703484846660597,
      9.472854891376166,
      9.241783800138604,
      9.011556491548115,
      8.783323482920245,
      8.558071963124,
      8.336597442404402,
      8.119491237078433,
      7.907135486586338,
      7.699710453450452,
      7.497211363817006,
      7.299471921257018,
      7.106192041593614,
      6.916966528399764,
      6.731310640953456,
      6.548690169490628,
      6.368549151456989,
      6.190333567050982,
      6.013511541950513,
      5.837583304322053,
      5.662097616746428,
      5.486664442794444,
      5.310971521635983,
      5.134804349920714,
      4.958055472871765,
      4.7807347048599285,
      4.6029569786529905,
      4.4249165209775265,
      4.246908826777193,
      4.069347521911645,
      3.8927475041621538,
      3.717684718678704,
      3.544777168395471,
      3.37467325980506,
      3.208028269233658,
      3.045483652014542,
      2.8876485376880723,
      2.735076889033305,
      2.5882537333924804,
      2.4475862276093645,
      2.3133981881183954,
      2.1859291483904784,
      2.065336591382029,
      1.9517016125024242,
      1.8450362869782462,
      1.7452922083942388,
      1.6523694319527238,
      1.5661252810926733,
      1.4863837570934426,
      1.4129433801180422,
      1.3455847354526118,
      1.2840794130790087,
      1.2281935975538494,
      1.1776925928946165,
      1.132348620361241,
      1.0919441134096983,
      1.0562732685617955,
      1.0251382659613997,
      0.9983416242930145,
      0.9756627088982578,
      0.9568202829075277,
      0.9414626197056581,
      0.9291959626129853,
      0.9196106614459574,
      0.9123402299444684,
      0.9070951517033464,
      0.9036260729422682,
      0.9017084064847138,
      0.9011452581081241,
      0.901768738749538,
      0.9034357706356474,
      0.9060197469344152,
      0.9094062697539798,
      0.9134936115712153,
      0.9181926274147009,
      0.9234240082803087,
      0.9291154552520796,
      0.9352032700307852,
      0.9416318582076634,
      0.9483526681245593,
      0.9553232690076857,
      0.9625065499124436,
      0.9698700239990551,
      0.9773852241021866,
      0.9850271782055614,
      0.9927740818983869,
      1.0006073498798327,
      1.0085107728687435,
      1.0164701087144026,
      1.0244732034409636,
      1.0325092698887184,
      1.0405687792684877,
      1.0486431796441142,
      1.056724774387523,
      1.064806618677005,
      1.0728824287091114,
      1.080946503258573,
      1.088993655373322,
      1.0970191521221244,
      1.105018662269805,
      1.1129882108617024,
      1.1209241392091494,
      1.1288230708204285,
      1.1366818808333692,
      1.1444976700293341,
      1.152267741975584,
      1.1599895830219873,
      1.167660844937187,
      1.1752793302313984,
      1.1828430215693904,
      1.1903502859509598,
      1.1977996968113496,
      1.2051898766090063,
      1.212519496065246,
      1.2197872740250697,
      1.2269919773714948,
      1.234132420373521,
      1.241207465084497,
      1.248216021001665,
      1.255157045248151,
      1.262029542505058,
      1.2688325652438026,
      1.2755652134859876,
      1.2822266352004168,
      1.2888160258534274,
      1.2953326289846114,
      1.30177573581565,
      1.3081446853072822,
      1.314438864401386,
      1.3206577074220274,
      1.32680069625469,
      1.3328673598707517,
      1.3388572743081695,
      1.3447700622863223,
      1.3506053929049333,
      1.3563629811650335,
      1.3620425876096385,
      1.367644017568006,
      1.3731671210647434,
      1.3786118381975898,
      1.3839782896670179,
      1.389266645036047,
      1.3944770884791053,
      1.3996098206318481,
      1.404665061040284,
      1.4096430492248482,
      1.4145440464946422,
      1.4193683361711453,
      1.4241162250680566,
      1.428788043886278,
      1.4333841471836124,
      1.437904913731297,
      1.442350746594532,
      1.4467220731389285,
      1.451019344961397,
      1.4552430371337444,
      1.4593936481815977,
      1.463471699322578,
      1.4674777340815057,
      1.4714123174169567,
      1.4752760352230294,
      1.4790694936461166,
      1.482793317860091,
      1.4864481519779051,
      1.4900346580649024,
      1.4935535150166794,
      1.4970053842909579,
      1.5003909046895758,
      1.5037107359289585,
      1.5069655604734788,
      1.5101560816798913,
      1.5132830219143671,
      1.516347121048988,
      1.5193491348291597,
      1.5222898331631132,
      1.5251699988425675,
      1.5279904262374981,
      1.53075191960971,
      1.5334552921142626,
      1.5361013648794095,
      1.5386909656576666,
      1.541224927456052,
      1.5437040880114625,
      1.5461292886884823,
      1.5485013730553143,
      1.5508211867160882,
      1.5530895763665802,
      1.5553073887361308,
      1.5574754698242466,
      1.5595946641791694,
      1.561665814372641,
      1.5636897603164894,
      1.5656673383717878,
      1.5675993809643332,
      1.5694867165046245,
      1.5713301681898284,
      1.5731305539273017,
      1.5748886855502213,
      1.5766053685476162,
      1.5782814018017426,
      1.579917576723997,
      1.5815146774184983,
      1.5830734803489444,
      1.5845947536628011,
      1.586079257293232,
      1.587527742466886,
      1.5889409515344433,
      1.5903196178200747,
      1.5916644653894068,
      1.5929762085846582,
      1.5942555521420205,
      1.5955031911295317,
      1.5967198109100282,
      1.5979060866217158,
      1.5990626833981396,
      1.6001902559044974,
      1.6012894489714802,
      1.6023608970896885,
      1.603405224291449,
      1.6044230444209668,
      1.6054149623532137,
      1.6063815855715948,
      1.6073235177735454,
      1.6082413493063816,
      1.6091356573034745,
      1.6100070060104426,
      1.6108559472511634,
      1.611683020576542,
      1.6124887535544692,
      1.6132736625576076,
      1.6140382523711132,
      1.6147830170114528,
      1.6155084396205466,
      1.6162149925039366,
      1.616903137669501,
      1.617573326849948,
      1.618226001721561,
      1.6188615944213829,
      1.6194805273459463,
      1.6200832135543857,
      1.6206700568607681,
      1.621241452124597,
      1.621797785180371,
      1.622339433372822,
      1.6228667653249313,
      1.623380141210507,
      1.623879912768712,
      1.6243664240271607,
      1.6248400110044647,
      1.6253010019183136,
      1.6257497171364643,
      1.6261864699388855,
      1.6266115659041704,
      1.6270253037178606,
      1.627427975012283,
      1.627819864509608,
      1.628201249858011,
      1.6285724024326271,
      1.6289335869651616,
      1.6292850619859096,
      1.6296270797050967,
      1.629959885943933,
      1.630283720776821,
      1.6305988184605373,
      1.6309054075660254,
      1.6312037109568929,
      1.6314939459198716,
      1.631776324599903,
      1.6320510535191832,
      1.6323183343674224,
      1.632578363876179,
      1.632831333743718,
      1.6330774306105673,
      1.633316836696105,
      1.6335497296211894,
      1.6337762826375817,
      1.633996663992683,
      1.6342110382270658,
      1.634419565539252,
      1.6346224021168914,
      1.6348197000102869,
      1.6350116075655388,
      1.6351982694000364,
      1.6353798260729244,
      1.63555641472221,
      1.6357281689391239,
      1.635895218795264,
      1.636057690870011,
      1.6362157084308377,
      1.636369391664715,
      1.636518857706352,
      1.6366642205141244,
      1.6368055911023467,
      1.6369430774178293,
      1.637076784827102,
      1.6372068159427666,
      1.6373332704501102,
      1.6374562454427322,
      1.637575835351651,
      1.6376921322307236,
      1.6378052257881701,
      1.6379152031640367,
      1.6380221491149656,
      1.638126146301045,
      1.638227275115219,
      1.6383256139199434,
      1.638421239029843,
      1.638514224491259,
      1.6386046424216587,
      1.638692563196792,
      1.6387780549769428,
      1.6388611841999485,
      1.63894201592193,
      1.6390206129884564,
      1.6390970367828073,
      1.6391713468047304,
      1.6392436010124791,
      1.6393138558599336,
      1.639382166435783,
      1.639448586043466,
      1.6395131665952924,
      1.6395759589559236,
      1.6396370122688897,
      1.6396963741989379,
      1.6397540914290127,
      1.6398102093436526,
      1.639864771966955,
      1.6399178222060373,
      1.6399694017895086,
      1.6400195510028162,
      1.6400683092885313,
      1.640115715083895,
      1.6401618057603142,
      1.6402066177156591,
      1.640250186161632,
      1.6402925454200208,
      1.640333729066577,
      1.6403737695155531,
      1.6404126982657508,
      1.6404505462484777,
      1.6404873432092892,
      1.6405231182089506,
      1.6405578996667836,
      1.6405917149973308,
      1.6406245909084132,
      1.6406565533941921,
      1.640687627779272,
      1.6407178387121162,
      1.6407472098534563,
      1.6407757647347188,
      1.6408035258872513,
      1.6408305152432816,
      1.6408567543336003,
      1.6408822639767329,
      1.640907064375164,
      1.6409311751100186,
      1.640954615491884,
      1.6409774040979654,
      1.6409995590214665,
      1.641021097866776,
      1.6410420374396206,
      1.6410623945563445,
      1.6410821853782913,
      1.641101425560021,
      1.6411201302451452,
      1.6411383145200207,
      1.6411559929010975,
      1.6411731794327524,
      1.6411898878360918,
      1.641206131200113,
      1.6412219222833362,
      1.6412372739172665,
      1.6412521983417399,
      1.641266707405072,
      1.6412808126625693,
      1.6412945254242686,
      1.6413078565484545,
      1.641320816794712,
      1.641333416210703,
      1.6413456647906461,
      1.641357572269139,
      1.641369148067663,
      1.6413804013937605,
      1.6413913412385135,
      1.6414019764758252,
      1.6414123154531202,
      1.6414223664976813,
      1.6414321375074736,
      1.6414416363559015,
      1.6414508707879372,
      1.6414598482145581,
      1.6414685757615741,
      1.6414770602676854,
      1.6414853083843421,
      1.6414933266756326,
      1.6415011216673652,
      1.641508699590967,
      1.6415160664835002,
      1.641523228084281,
      1.6415301902401949,
      1.641536958548075,
      1.6415435382005825,
      1.6415499345442348,
      1.6415561526710727,
      1.6415621975698256,
      1.6415680738702605,
      1.6415737864013444,
      1.6415793397322005,
      1.6415847384251372,
      1.6415899868309418,
      1.6415950889859787,
      1.6416000489671037,
      1.6416048707888133,
      1.6416095583004162,
      1.6416141151849737,
      1.6416185451617311,
      1.641622851883363,
      1.641627038629803,
      1.641631108612505,
      1.6416350650752876,
      1.641638911293423,
      1.6416426503184474,
      1.6416462851807463,
      1.641649818990444,
      1.6416532544279328,
      1.6416565940991608,
      1.6416598406366392,
      1.6416629966987097,
      1.641666064816217,
      1.6416690473918174,
      1.641671946801054,
      1.641674765442538,
      1.641677505584696,
      1.6416801693143117,
      1.6416827590445262,
      1.6416852764969823,
      1.6416877235150817,
      1.641690102266961,
      1.6416924146345364,
      1.6416946624164297,
      1.6416968476326381,
      1.6416989719136388,
      1.6417010367542568,
      1.6417030441235554,
      1.6417049955996874,
      1.6417068926745961,
      1.6417087368553334,
      1.6417105297653602,
      1.6417122726355,
      1.6417139667613347,
      1.6417156137062845,
      1.6417172147925785,
      1.6417187712025978,
      1.6417202839276974,
      1.6417217545308387,
      1.6417231843323798,
      1.641724574307989,
      1.6417259253935403,
      1.6417272387391595,
      1.6417285156071852,
      1.641729756964925,
      1.641730963738688,
      1.6417321368135451,
      1.6417332771856534,
      1.6417343857585256,
      1.6417354634953865,
      1.6417365113171638,
      1.6417375299496633,
      1.6417385200250811,
      1.641739482234404,
      1.6417404175306787,
      1.641741326721852,
      1.6417422105722574,
      1.6417430697515667,
      1.6417439049871576,
      1.6417447169622112,
      1.6417455062138009,
      1.6417462734887396
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360460898725107,
      11.18416017410001,
      10.9965839477335,
      10.798824096304386,
      10.592129029155302,
      10.377792238641707,
      10.157158958939691,
      9.931676936193771,
      9.702859784447336,
      9.472206868113295,
      9.241132687348166,
      9.010919511744829,
      8.78271795604024,
      8.557514810693142,
      8.336104722883118,
      8.119077812624868,
      7.906814831134885,
      7.699494754362904,
      7.497111652691438,
      7.299498296599036,
      7.106353950200028,
      6.917273102745948,
      6.731771047428244,
      6.549313839935328,
      6.369346013340939,
      6.191314216783821,
      6.014687480475102,
      5.838967300052321,
      5.6637032073695615,
      5.48850563634043,
      5.313062639628062,
      5.137159737403497,
      4.9606892603257595,
      4.783660523054236,
      4.606187816076303,
      4.428464197678385,
      4.250782297910607,
      4.073552659243053,
      3.897287210789334,
      3.7225595610502005,
      3.5499849334989415,
      3.3802091561350616,
      3.2138852608189175,
      3.0516524352723953,
      2.894118332333961,
      2.7418362759799715,
      2.5952914819911714,
      2.454891638439869,
      2.320961502259992,
      2.1937417022415255,
      2.0733911017400177,
      1.9599923659217457,
      1.8535592505527578,
      1.7540450432063357,
      1.6613514039916915,
      1.5753371889775951,
      1.4958278709291695,
      1.4226232931452154,
      1.3555056889762955,
      1.2942482720754669,
      1.2386181257678703,
      1.1883822538821402,
      1.1433145092311874,
      1.1031992869506153,
      1.0678315119530635,
      1.037013734275045,
      1.0105446813460686,
      0.9881920877900575,
      0.9696522130938109,
      0.9545562927698237,
      0.9424965079814722,
      0.9330584044870456,
      0.925888276478842,
      0.9207044505084426,
      0.9172600566024184,
      0.9153334543645778,
      0.9147311642738599,
      0.9152888439428098,
      0.9168656712828508,
      0.9193359079703747,
      0.9225864983985936,
      0.9265179018983551,
      0.9310427312705897,
      0.9360833915191903,
      0.9415691601624884,
      0.9474377330452736,
      0.953634774819329,
      0.960112872224577,
      0.9668306249116865,
      0.9737518559189918,
      0.9808449261299641,
      0.9880821397472853,
      0.995439227766603,
      1.0028948998732292,
      1.010430610737596,
      1.0180305973783466,
      1.0256810330999588,
      1.0333700457618726,
      1.0410874666933319,
      1.0488242032298225,
      1.0565721070410123,
      1.0643238591007549,
      1.0720728688494447,
      1.0798131869554775,
      1.0875394286271942,
      1.095246706747076,
      1.1029305742799256,
      1.1105869729910733,
      1.1182121895987305,
      1.125802816994903,
      1.1333557209314014,
      1.1408680103431357,
      1.1483370120359753,
      1.1557602485956218,
      1.1631354186363483,
      1.1704603802976261,
      1.1777331365117045,
      1.1849518221998652,
      1.1921146932031366,
      1.199220116554955,
      1.2062667116620496,
      1.2132533916636723,
      1.2201791316761066,
      1.2270429408310062,
      1.233843863544962,
      1.24058098016225,
      1.2472534075749067,
      1.253860300321812,
      1.2604008512452682,
      1.266874291902007,
      1.2732798934335137,
      1.2796169665668413,
      1.2858848622136743,
      1.2920829718467468,
      1.298210727545314,
      1.3042676022618636,
      1.3102531099470875,
      1.3161668056790177,
      1.3220082856876176,
      1.3277771868613417,
      1.3334731870002385,
      1.3390960044867588,
      1.344645397978389,
      1.3501211660646837,
      1.355523147187945,
      1.3608512188553954,
      1.3661052974082515,
      1.3712853374777658,
      1.3763913820884501,
      1.381423635526232,
      1.386382340423819,
      1.3912677494269354,
      1.3960801275173467,
      1.4008197538659513,
      1.4054869231652043,
      1.41008194679668,
      1.4146051540367062,
      1.419056892485893,
      1.4234375287896595,
      1.4277474491404327,
      1.431987059255408,
      1.4361567845410113,
      1.440257070239643,
      1.4442883808458071,
      1.448251200062156,
      1.4521460305318448,
      1.4559733932955454,
      1.4597338275828802,
      1.4634278899204434,
      1.4670561538275206,
      1.4706192091327828,
      1.4741176613694733,
      1.4775521308928856,
      1.480923252533889,
      1.4842316745170436,
      1.4874780580676197,
      1.4906630764361877,
      1.4937874142058574,
      1.496851766628332,
      1.4998568351745265,
      1.5028032918836203,
      1.5056917954106126,
      1.5085230212927607,
      1.5112976599544845,
      1.5140164151058653,
      1.5166800022296318,
      1.5192891475131398,
      1.521844586157797,
      1.524347061389013,
      1.5267973228450566,
      1.529196125820676,
      1.5315442304000815,
      1.5338424002769824,
      1.5360914017713314,
      1.5382920031456668,
      1.5404449735102186,
      1.5425510823861415,
      1.5446110988091653,
      1.5466257904836156,
      1.5485959234967372,
      1.5505222614757115,
      1.5524055651042183,
      1.5542465916947439,
      1.5560460945127907,
      1.5578048224138525,
      1.559523519082393,
      1.5612029228914142,
      1.5628437666718793,
      1.5644467772407016,
      1.5660126747394496,
      1.5675421728022858,
      1.5690359781811054,
      1.5704947899816826,
      1.5719192999361833,
      1.5733101921873476,
      1.5746681427889433,
      1.575993819635697,
      1.5772878823660375,
      1.5785509820352746,
      1.5797837612214762,
      1.5809868536495322,
      1.5821608843516417,
      1.583306469347941,
      1.5844242156619948,
      1.5855147213160314,
      1.5865785749507433,
      1.5876163561386452,
      1.5886286355271069,
      1.5896159742523803,
      1.5905789242021484,
      1.5915180282626402,
      1.592433819940691,
      1.593326823531265,
      1.5941975541190472,
      1.5950465178216195,
      1.5958742116644842,
      1.5966811262928706,
      1.5974677552843093,
      1.5982345850711477,
      1.5989820904475862,
      1.5997107353571351,
      1.6004209727557366,
      1.6011132450769554,
      1.6017879849436085,
      1.6024456149055368,
      1.603086547882447,
      1.6037111875492371,
      1.6043199283589789,
      1.6049131559668794,
      1.6054912470382743,
      1.6060545697125945,
      1.6066034842149177,
      1.6071383422420862,
      1.6076594874125556,
      1.6081672559663847,
      1.6086619761897165,
      1.6091439690563054,
      1.6096135483060512,
      1.6100710205711526,
      1.6105166851940176,
      1.6109508347544264,
      1.611373755187087,
      1.6117857258458237,
      1.6121870195145425,
      1.6125779026703193,
      1.6129586355918886,
      1.613329472517044,
      1.6136906616457118,
      1.6140424455482485,
      1.6143850610635821,
      1.6147187392976465,
      1.6150437060782667,
      1.6153601816967524,
      1.6156683814621733,
      1.6159685153899135,
      1.6162607884487636,
      1.6165454007054496,
      1.6168225474683429,
      1.6170924191252536,
      1.6173552015400974,
      1.6176110762963636,
      1.6178602206856785,
      1.6181028072381192,
      1.6183390042694112,
      1.6185689761734123,
      1.618792883358208,
      1.619010882131015,
      1.6192231250406484,
      1.6194297608636865,
      1.6196309348447635,
      1.6198267884789437,
      1.6200174597517263,
      1.6202030831246728,
      1.6203837897752844,
      1.6205597075316351,
      1.620730960959609,
      1.6208976716535684,
      1.6210599582218659,
      1.6212179361706458,
      1.621371717991161,
      1.6215214135523548,
      1.6216671297305756,
      1.6218089708531878,
      1.6219470383793504,
      1.6220814310387137,
      1.6222122454788812,
      1.6223395757431256,
      1.6224635134094603,
      1.6225841477807372,
      1.622701565922326,
      1.6228158525982093,
      1.6229270904615745,
      1.6230353597878209,
      1.6231407387672632,
      1.6232433036454494,
      1.6233431288127733,
      1.6234402869959912,
      1.6235348484835077,
      1.6236268820802306,
      1.6237164547910514,
      1.6238036318096727,
      1.623888476711078,
      1.6239710511355951,
      1.624051415439559,
      1.6241296283288869,
      1.6242057468488864,
      1.6242798267811687,
      1.6243519223795264,
      1.6244220860551375,
      1.624490369384453,
      1.6245568223370082,
      1.6246214937241465,
      1.624684431037581,
      1.6247456804915474,
      1.6248052867600216,
      1.6248632936296605,
      1.6249197439916645,
      1.6249746794777513,
      1.625028140350599,
      1.625080166106609,
      1.6251307950615397,
      1.6251800644449366,
      1.6252280106473231,
      1.6252746689080666,
      1.6253200739189098,
      1.625364258952643,
      1.6254072567212727,
      1.625449098962765,
      1.625489816689151,
      1.6255294398752829,
      1.6255679978598179,
      1.6256055192377068,
      1.6256420319053917,
      1.6256775626992364,
      1.62571213800052,
      1.6257457832215454,
      1.6257785234108943,
      1.6258103829432147,
      1.6258413852600226,
      1.625871553526143,
      1.6259009098621242,
      1.6259294760518046,
      1.6259572733852925,
      1.625984322502044,
      1.6260106435900907,
      1.626036256178464,
      1.6260611792349196,
      1.6260854312128823,
      1.6261090301493728,
      1.6261319934070095,
      1.6261543382298678,
      1.6261760813330144,
      1.6261972387973327,
      1.626217826218758,
      1.6262378588576192,
      1.6262573517880408,
      1.626276319691358,
      1.6262947767004545,
      1.6263127365493857,
      1.6263302125196437,
      1.6263472175390905,
      1.6263637645352587,
      1.6263798656697364,
      1.6263955327933237,
      1.6264107776470065,
      1.6264256117577298,
      1.626440046181682,
      1.6264540916036412,
      1.6264677584364562,
      1.6264810570731385,
      1.6264939972234558,
      1.6265065884204761,
      1.6265188400694137,
      1.6265307615981917,
      1.6265423617942552,
      1.626553649209569,
      1.6265646322096636,
      1.626575318971833,
      1.6265857173308254,
      1.6265958356417816,
      1.6266056812017655,
      1.6266152613162583,
      1.6266245829415915,
      1.6266336531411894,
      1.6266424786263025,
      1.6266510659580131,
      1.6266594216984018,
      1.6266675521548306,
      1.6266754633277165,
      1.6266831610109673,
      1.6266906509433225,
      1.6266979390105432,
      1.6267050305320963,
      1.6267119306668907,
      1.6267186447173216,
      1.6267251776195284,
      1.6267315344509192,
      1.626737719920474,
      1.626743738622025,
      1.6267495950332616,
      1.626755293514753,
      1.6267608384107348,
      1.6267662335904183,
      1.6267714831591864,
      1.6267765910508434,
      1.626781560925015,
      1.6267863965732534,
      1.626791101816481,
      1.6267956800972823,
      1.626800134987757,
      1.6268044698835746,
      1.6268086876980759,
      1.6268127916245483,
      1.6268167848812283,
      1.6268206704054382,
      1.6268244511072478,
      1.6268281297162452,
      1.6268317090352693,
      1.6268351916346147,
      1.6268385802075025,
      1.62684187736605,
      1.626845085488117,
      1.6268482069202248,
      1.626851244078782,
      1.6268541994495371,
      1.626857075129298,
      1.626859873232356,
      1.6268625956865828,
      1.6268652444364533,
      1.6268678216460652,
      1.6268703292917708,
      1.6268727693651985,
      1.6268751435676472,
      1.6268774535131507,
      1.6268797011350213,
      1.6268818882785425,
      1.6268840167005487,
      1.6268860877638858,
      1.6268881029457276,
      1.6268900638372352,
      1.626891971634613,
      1.6268938280543344,
      1.6268956345190118,
      1.6268973921570529,
      1.626899102311045,
      1.6269007663340058,
      1.6269023855890963,
      1.6269039609915685,
      1.626905493822333,
      1.6269069853208027,
      1.6269084367863433,
      1.626909849120224,
      1.626911223181456,
      1.6269125599391892,
      1.6269138605742164,
      1.6269151262244175,
      1.626916357882786,
      1.6269175563971965,
      1.626918722215926,
      1.6269198564047764,
      1.6269209599347847,
      1.6269220336820136,
      1.626923078630788,
      1.6269240953648878,
      1.6269250844742884,
      1.6269260466567737
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360445632001474,
      11.184092296756498,
      10.996438141716558,
      10.798586083420188,
      10.591794448092074,
      10.37736475277354,
      10.156649921758705,
      9.931101124933605,
      9.702236310992502,
      9.471558098844163,
      9.240476504325127,
      9.01027279852695,
      8.782097660154234,
      8.556937447421713,
      8.335585931520185,
      8.118632000734141,
      7.906455051344024,
      7.6992327695621805,
      7.496958059517375,
      7.299462741285597,
      7.106445402677325,
      6.917500175993501,
      6.732142329905598,
      6.549838145742816,
      6.370032611031553,
      6.19217300494228,
      6.015729224555054,
      5.840203985418308,
      5.6651475752064835,
      5.490170912997262,
      5.314962390194042,
      5.139307598401462,
      4.963098733954475,
      4.786344724641743,
      4.6091594899781825,
      4.431735165694514,
      4.254361729343425,
      4.077446861559864,
      3.9014998925193307,
      3.7270925614543726,
      3.554837426866077,
      3.3853778202511875,
      3.2193645705563254,
      3.0574346903830705,
      2.9001942515351176,
      2.7481959724393525,
      2.601925117380117,
      2.461789645785778,
      2.3281150753271964,
      2.2011429184179874,
      2.0810332324727923,
      1.9678700633202844,
      1.8616686662194815,
      1.762383854162936,
      1.6699187395314103,
      1.5841335746836163,
      1.5048551822028187,
      1.4318846232790836,
      1.3650058818072783,
      1.3039934843988976,
      1.248615347359908,
      1.198640096136137,
      1.1538433889971982,
      1.1140112895358194,
      1.0789393645527912,
      1.0484304092600272,
      1.0222771194933427,
      1.0002318309763158,
      0.9819718493765982,
      0.9671119668331768,
      0.9552329927019801,
      0.9459208158373216,
      0.9388322168800469,
      0.933692594491723,
      0.9302567667229131,
      0.9283060495510289,
      0.9276503369710775,
      0.9281286498641432,
      0.9296022398983125,
      0.9319462598309037,
      0.9350494116735407,
      0.9388140717311433,
      0.9431545907096466,
      0.9479951266845665,
      0.9532665699598813,
      0.9589079772670164,
      0.9648662428990635,
      0.9710950654917071,
      0.9775540512988802,
      0.9842079359850999,
      0.9910259091678638,
      0.9979810286471271,
      1.0050497122189268,
      1.0122112970308668,
      1.0194476575164897,
      1.026742909304869,
      1.0340834332231363,
      1.0414578127001524,
      1.0488563376630453,
      1.0562703656974632,
      1.0636921662625074,
      1.0711148092591412,
      1.078532067389771,
      1.0859383317804185,
      1.0933285381347109,
      1.1006981021430229,
      1.1080428631505925,
      1.115359035366182,
      1.122643164844737,
      1.1298920922750202,
      1.1371029204993484,
      1.1442729863674315,
      1.1513998360290778,
      1.1584812029833347,
      1.1655149898889465,
      1.1724992517411637,
      1.1794321820947833,
      1.1863121004591897,
      1.1931374413350768,
      1.199906744756389,
      1.2066186485613064,
      1.2132718806861147,
      1.219865253288085,
      1.226397769003132,
      1.2328686924309333,
      1.239277343659269,
      1.245623064486587,
      1.2519052204229446,
      1.258123202509658,
      1.264276428802569,
      1.2703643458200713,
      1.2763864296985528,
      1.2823421870509122,
      1.288231156032281,
      1.2940529069985056,
      1.2998070430066526,
      1.3054932006108435,
      1.3111110497275364,
      1.3166602942438774,
      1.322140672041704,
      1.3275519553985229,
      1.332893950998024,
      1.3381664992398576,
      1.3433694745219424,
      1.3485027850157691,
      1.3535663724388929,
      1.3585602114637492,
      1.3634843098268774,
      1.3683387074046995,
      1.3731235032434874,
      1.3778389482612818,
      1.38248534628537,
      1.3870630064466065,
      1.3915722458143973,
      1.396013391001986,
      1.4003867794553435,
      1.4046927607309845,
      1.4089316975598187,
      1.4131039669003478,
      1.417209960065795,
      1.4212500836541806,
      1.4252247592973055,
      1.4291344241101953,
      1.432979530619915,
      1.4367605468854647,
      1.440477956197981,
      1.4441322567169197,
      1.447723961397929,
      1.4512535973982623,
      1.454721706078537,
      1.4581288420240732,
      1.4614755726622268,
      1.4647624779162334,
      1.4679901495906207,
      1.4711591912002773,
      1.4742702165650932,
      1.4773238496115435,
      1.480320723754168,
      1.4832614813659135,
      1.4861467729818816,
      1.4889772566947264,
      1.491753597640635,
      1.4944764674239586,
      1.497146543277844,
      1.499764507470213,
      1.5023310468541748,
      1.5048468524621306,
      1.5073125891349934,
      1.50972889830157,
      1.5120964309621268,
      1.5144158469490625,
      1.516687813731041,
      1.5189130050660307,
      1.5210920998599173,
      1.523225781231373,
      1.5253147354786116,
      1.5273596510505498,
      1.5293612176250095,
      1.5313201254474353,
      1.533237064778562,
      1.5351127249942793,
      1.5369477941525225,
      1.5387429582144336,
      1.540498900582049,
      1.542216301444973,
      1.5438958374457403,
      1.545538181207167,
      1.5471440006210577,
      1.5487139590183,
      1.5502487146955566,
      1.5517489203082488,
      1.5532152225885882,
      1.5546482624405822,
      1.5560486743957738,
      1.5574170863462335,
      1.5587541191997323,
      1.5600603871701482,
      1.561336497279894,
      1.5625830490416757,
      1.5638006347273774,
      1.56498983890253,
      1.5661512384479157,
      1.5672854025096596,
      1.568392892124303,
      1.5694742605369036,
      1.57053005309395,
      1.5715608069152882,
      1.5725670508544038,
      1.5735493059003518,
      1.5745080846995796,
      1.5754438915715967,
      1.5763572227648068,
      1.5772485666479443,
      1.5781184032782087,
      1.5789672042113425,
      1.5797954331136939,
      1.5806035456000525,
      1.5813919891624333,
      1.5821612033937535,
      1.582911619845661,
      1.583643662131327,
      1.5843577459684655,
      1.5850542795699043,
      1.5857336632122676,
      1.586396289458175,
      1.5870425432694066,
      1.58767280272346,
      1.5882874462846865,
      1.5888868503538758,
      1.589471381979533,
      1.5900413989893902,
      1.5905972506760955,
      1.5911392781218057,
      1.5916678138567701,
      1.5921831825815398,
      1.5926857015288414,
      1.5931756802110668,
      1.5936534209777327,
      1.594119219060718,
      1.594573362921248,
      1.595016134441063,
      1.5954478089070898,
      1.5958686550440904,
      1.5962789352989362,
      1.5966789062749096,
      1.5970688186549682,
      1.5974489174278834,
      1.5978194415527678,
      1.5981806247405752,
      1.5985326952164503,
      1.5988758758871906,
      1.5992103843035996,
      1.5995364332316262,
      1.5998542304590768,
      1.600163978753536,
      1.6004658763276205,
      1.600760116590953,
      1.6010468883587716,
      1.6013263762120717,
      1.6015987605007065,
      1.6018642170912558,
      1.6021229178261096,
      1.6023750304222795,
      1.6026207186746309,
      1.602860142556717,
      1.603093457964921,
      1.6033208172249682,
      1.6035423691909856,
      1.6037582589371595,
      1.6039686280592822,
      1.604173614874158,
      1.6043733544660277,
      1.6045679784783062,
      1.6047576153627865,
      1.6049423906285532,
      1.6051224264802684,
      1.6052978423209063,
      1.6054687548982192,
      1.6056352776371867,
      1.6057975214982292,
      1.6059555946653954,
      1.6061096025904869,
      1.6062596482913598,
      1.606405831988939,
      1.6065482516088325,
      1.6066870028759628,
      1.606822178849645,
      1.6069538704758943,
      1.6070821663259087,
      1.6072071529448988,
      1.6073289145396836,
      1.6074475334292304,
      1.6075630897322803,
      1.6076756614619023,
      1.607785324874405,
      1.6078921541061875,
      1.60799622172619,
      1.6080975984745556,
      1.6081963532047894,
      1.6082925530294665,
      1.6083862635168467,
      1.608477548328061,
      1.608566469617349,
      1.6086530880763124,
      1.608737462876511,
      1.6088196514087043,
      1.6088997100902915,
      1.608977693697801,
      1.6090536555132757,
      1.6091276474707608,
      1.6091997203029007,
      1.60926992333154,
      1.6093383047162357,
      1.6094049114993836,
      1.6094697893462326,
      1.6095329829971188,
      1.6095945357533619,
      1.609654489878828,
      1.609712886798112,
      1.609769766837041,
      1.6098251689632674,
      1.6098791313916585,
      1.609931691375956,
      1.6099828852548292,
      1.6100327482437107,
      1.610081314837101,
      1.610128618397125,
      1.6101746916068893,
      1.6102195663644154,
      1.610263273829225,
      1.6103058442147085,
      1.6103473068857708,
      1.610387690507427,
      1.6104270230408841,
      1.6104653316379842,
      1.6105026429426499,
      1.610538982934594,
      1.6105743767731306,
      1.6106088488445258,
      1.610642423165468,
      1.6106751229219467,
      1.6107069707202804,
      1.6107379888382256,
      1.6107681989674936,
      1.6107976221089257,
      1.6108262786712155,
      1.6108541884679706,
      1.6108813710200327,
      1.610907845044041,
      1.6109336290600382,
      1.6109587408293256,
      1.61098319796219,
      1.6110070174575908,
      1.611030216005822,
      1.6110528096808974,
      1.6110748143959295,
      1.6110962455956066,
      1.6111171180504669,
      1.6111374462107235,
      1.6111572442549817,
      1.611176525935541,
      1.6111953045763459,
      1.611213593376152,
      1.611231405253962,
      1.611248752440195,
      1.6112656469834565,
      1.6112821007487157,
      1.6112981252629395,
      1.6113137319167803,
      1.6113289312507908,
      1.6113437338693275,
      1.6113581500829197,
      1.6113721901101254,
      1.6113858638216725,
      1.6113991807898171,
      1.6114121502868681,
      1.6114247812837665,
      1.6114370825504345,
      1.6114490627561466,
      1.6114607301630364,
      1.611472092980847,
      1.611483159162212,
      1.6114939365031613,
      1.611504432540186,
      1.6115146546507928,
      1.6115246098997826,
      1.611534305343321,
      1.611543747671805,
      1.611552943361418,
      1.6115618987748406,
      1.6115706203128368,
      1.6115791139046565,
      1.6115873856683025,
      1.611595441502679,
      1.611603286984943,
      1.6116109276239565,
      1.6116183688085484,
      1.6116256156032194,
      1.6116326728490895,
      1.6116395456208805,
      1.6116462388700845,
      1.6116527572716148,
      1.6116591055790799,
      1.6116652882680294,
      1.6116713096369484,
      1.6116771737048787,
      1.611682884566806,
      1.611688446443869,
      1.6116938630723732,
      1.6116991383135162,
      1.6117042758476212,
      1.6117092792244156,
      1.6117141519642053,
      1.6117188976590129,
      1.6117235194634139,
      1.6117280204500606,
      1.6117324036600582,
      1.6117366723567934,
      1.611740829618519,
      1.6117448782361516,
      1.6117488211705706,
      1.6117526610944009,
      1.611756400595023,
      1.6117600421741876,
      1.6117635885018973,
      1.611767042009113,
      1.6117704053451032,
      1.6117736807158305,
      1.6117768704430744,
      1.6117799767606187,
      1.611783002017342,
      1.61178594837167,
      1.6117888176895063,
      1.6117916120525597,
      1.6117943335545533,
      1.6117969838940125,
      1.6117995647808723,
      1.6118020782413844,
      1.6118045260074525,
      1.611806910126689,
      1.611809232148307,
      1.611811493428043,
      1.6118136955348255,
      1.6118158401488138,
      1.6118179287559518,
      1.6118199627494518,
      1.611821943734748,
      1.6118238730206158,
      1.6118257518224137,
      1.611827581516193,
      1.6118293633333123,
      1.6118310986654094,
      1.6118327887590076,
      1.6118344347661784,
      1.61183603774435,
      1.6118375985544269,
      1.611839118572705,
      1.611840598775149,
      1.6118420403475684,
      1.6118434442785332,
      1.6118448113592259,
      1.6118461426410629,
      1.6118474391812145,
      1.6118487017881382,
      1.6118499314791848,
      1.6118511289209778
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360430608299488,
      11.184025423087258,
      10.9962942511355,
      10.798351008471359,
      10.591463661542228,
      10.37694162115573,
      10.156145377844458,
      9.930529587519077,
      9.701616429984153,
      9.470911872059446,
      9.239821038129051,
      9.009624668923836,
      8.781473465359309,
      8.55635331347361,
      8.335057090508734,
      8.118172437720144,
      7.906077414659816,
      7.698948421116976,
      7.496777195393989,
      7.299394602854684,
      7.106498544697755,
      6.917682771407116,
      6.732462488943318,
      6.550304177553821,
      6.370653249556326,
      6.192957583679519,
      6.016687911970289,
      5.8413481310800615,
      5.666489270267732,
      5.491722740829865,
      5.316737275216667,
      5.141318556727293,
      4.965358690919742,
      4.7888662848794885,
      4.611955110461224,
      4.434816582971049,
      4.257738173193289,
      4.081124854316521,
      3.905483638725487,
      3.7313848072438027,
      3.5594383541889933,
      3.390285169553562,
      3.2245739070849906,
      3.0629395660561816,
      2.9059864640273427,
      2.7542666437046264,
      2.6082653203196333,
      2.4683906902740236,
      2.3349688247738962,
      2.2082419817535954,
      2.088371271384689,
      1.9754419803335819,
      1.869470725736459,
      1.7704137197667782,
      1.6781754159266626,
      1.592617359792481,
      1.5135676311764783,
      1.4408284286368576,
      1.3741853985278394,
      1.3134143099925584,
      1.258283943661059,
      1.2085644779317932,
      1.1640334565324002,
      1.1244783101709686,
      1.0896952097798782,
      1.0594856194923397,
      1.0336355356385878,
      1.011880645134821,
      0.9938789589750625,
      0.9792310229962675,
      0.9675069525747552,
      0.9582966252434968,
      0.9512688431242151,
      0.9461536500238444,
      0.9427079691154693,
      0.940716106255912,
      0.9399911939034512,
      0.9403757954141082,
      0.9417324935965657,
      0.9439372972084719,
      0.9468809627021162,
      0.9504677296046083,
      0.9546136388219953,
      0.9592445348761178,
      0.9642930253055043,
      0.9696994730252898,
      0.9754119534546749,
      0.9813852342437724,
      0.9875798901310919,
      0.9939615352035497,
      1.000500157205738,
      1.0071695400231657,
      1.0139467635549184,
      1.0208117697557864,
      1.0277469404514732,
      1.0347367286735274,
      1.041767528998643,
      1.0488277932131849,
      1.0559081578608103,
      1.0630004525932437,
      1.0700973823248872,
      1.0771924200054466,
      1.0842797130329924,
      1.0913540016761032,
      1.0984105479057864,
      1.1054450739317192,
      1.1124537075754597,
      1.11943293534744,
      1.12637956121489,
      1.1332906708949135,
      1.1401636005051623,
      1.1469959095347613,
      1.153785356787818,
      1.1605298798927506,
      1.1672275771485972,
      1.1738766917579497,
      1.18047559850231,
      1.18702279139501,
      1.1935168732424328,
      1.1999565465716715,
      1.2063406056426904,
      1.2126679295189329,
      1.2189374760714455,
      1.225148276896406,
      1.2312994323132658,
      1.2373901073416587,
      1.243419527980433,
      1.2493871047884908,
      1.2552924458135446,
      1.2611351839515523,
      1.266914964548052,
      1.2726314480753285,
      1.2782843127819294,
      1.2838732558902328,
      1.2893979953237116,
      1.2948582714028247,
      1.3002538481519108,
      1.3055845138076354,
      1.3108500818992743,
      1.3160503920845679,
      1.3211853103819406,
      1.3262547294572078,
      1.3312585693173384,
      1.3361967774929333,
      1.341069328502611,
      1.3458762243249933,
      1.350617494298588,
      1.3552931945481133,
      1.3599034083072066,
      1.3644482453036864,
      1.368927841628482,
      1.3733424442167965,
      1.3776924055893325,
      1.3819780828278938,
      1.3861998361415035,
      1.3903580303186942,
      1.3944530365764003,
      1.3984852337893339,
      1.4024550094059833,
      1.4063627606113491,
      1.4102088948721063,
      1.4139938306785544,
      1.417717997720521,
      1.4213818370567388,
      1.4249858014302406,
      1.428530355221398,
      1.4320159746487608,
      1.4354431471496234,
      1.4388123717713437,
      1.4421241583863735,
      1.4453790278163372,
      1.4485775113902832,
      1.4517201504457944,
      1.4548074956714303,
      1.4578401072059797,
      1.4608185539693013,
      1.4637434129368658,
      1.4666152689178509,
      1.4694347141251496,
      1.4722023476395294,
      1.4749187746158023,
      1.477584606096193,
      1.4802004584142119,
      1.4827669523932032,
      1.4852847132556415,
      1.4877543699215692,
      1.4901765545615318,
      1.4925519019470188,
      1.4948810493113216,
      1.4971646356026616,
      1.4994033009442103,
      1.501597686403625,
      1.5037484336661222,
      1.5058561841542613,
      1.5079215790703016,
      1.5099452587345537,
      1.5119278473349858,
      1.5138699397173985,
      1.5157721299406761,
      1.5176350161422982,
      1.5194591992140096,
      1.5212452820019813,
      1.5229938685234488,
      1.5247055632004844,
      1.526380970009923,
      1.5280206917535368,
      1.5296253296018176,
      1.5311954825561283,
      1.5327317469317134,
      1.5342347154554838,
      1.5357049774543559,
      1.5371431182021988,
      1.5385497186469304,
      1.5399253548573124,
      1.5412705978514845,
      1.5425860136045373,
      1.5438721623713292,
      1.5451295984950781,
      1.546358870499079,
      1.5475605209536696,
      1.5487350860174758,
      1.5498830953148566,
      1.551005071895924,
      1.5521015318220897,
      1.553172984801947,
      1.5542199336402365,
      1.5552428739246593,
      1.5562422943072056,
      1.557218676261621,
      1.5581724943348754,
      1.5591042157742203,
      1.5600143009036942,
      1.5609032026738605,
      1.5617713667586026,
      1.562619231487396,
      1.5634472285290881,
      1.564255782140571,
      1.5650453094221999,
      1.5658162203597061,
      1.5665689178564772,
      1.5673037977566184,
      1.568021249062649,
      1.568721653432687,
      1.5694053861954476,
      1.5700728156282033,
      1.5707243029903204,
      1.5713602029057927,
      1.571980863383023,
      1.5725866258281886,
      1.5731778251542137,
      1.5737547898330388,
      1.574317841993185,
      1.5748672973594182,
      1.5754034651873574,
      1.5759266489053385,
      1.5764371458361564,
      1.5769352472704703,
      1.5774212384851887,
      1.5778953990630613,
      1.578358002852471,
      1.5788093180253588,
      1.5792496084541718,
      1.579679138696749,
      1.580098169517502,
      1.5805069547279813,
      1.5809057416867687,
      1.5812947714407102,
      1.5816742792196963,
      1.5820444943187288,
      1.582405640486388,
      1.5827579358025654,
      1.5831015933679977,
      1.5834368208729335,
      1.5837638208760993,
      1.5840827913362905,
      1.5843939252776922,
      1.584697411369221,
      1.5849934337903568,
      1.585282172299075,
      1.5855638021459184,
      1.5858384948515367,
      1.5861064178641047,
      1.5863677343173876,
      1.5866226038050613,
      1.5868711821368158,
      1.5871136216021873,
      1.5873500708266364,
      1.587580674881136,
      1.5878055754927511,
      1.5880249110510427,
      1.5882388165629573,
      1.5884474238614017,
      1.588650861660661,
      1.58884925576383,
      1.589042728811984,
      1.5892314007957955,
      1.5894153889563378,
      1.5895948073294321,
      1.5897697676120333,
      1.5899403787566744,
      1.5901067470741883,
      1.5902689765395608,
      1.5904271683854025,
      1.5905814217124,
      1.5907318331331057,
      1.5908784968223986,
      1.5910215050254883,
      1.591160947548445,
      1.5912969120114866,
      1.5914294838986456,
      1.5915587468615946,
      1.5916847824638134,
      1.5918076702297987,
      1.5919274878976093,
      1.5920443111118,
      1.5921582139809325,
      1.5922692686685904,
      1.5923775455437934,
      1.592483113483933,
      1.5925860393638398,
      1.5926863887654954,
      1.5927842255687137,
      1.5928796121521123,
      1.5929726090854328,
      1.5930632755847807,
      1.5931516696117936,
      1.5932378475658708,
      1.5933218644850222,
      1.593403774246696,
      1.5934836291582442,
      1.59356148020861,
      1.5936373773708727,
      1.593711369294438,
      1.593783503607586,
      1.5938538267113722,
      1.59392238347185,
      1.5939892179804214,
      1.5940543731952201,
      1.5941178910911291,
      1.594179812606371,
      1.5942401775382469,
      1.594299024642367,
      1.594356391986216,
      1.5944123165906523,
      1.594466834630923,
      1.5945199812308077,
      1.5945717906128447,
      1.5946222964011543,
      1.594671531161358,
      1.5947195266526217,
      1.5947663138762662,
      1.594811923226138,
      1.5948563840795154,
      1.5948997251510062,
      1.594941974693874,
      1.5949831599893178,
      1.5950233078530425,
      1.5950624444297805,
      1.5951005949878467,
      1.595137783968052,
      1.5951740354395725,
      1.5952093731489316,
      1.5952438201112287,
      1.5952773987100322,
      1.5953101306956006,
      1.595342037437428,
      1.5953731396173596,
      1.5954034576347864,
      1.5954330110454993,
      1.595461819068691,
      1.5954899003819176,
      1.595517273322993,
      1.595543955786722,
      1.5955699650199435,
      1.5955953179761035,
      1.5956200312629585,
      1.595644120937699,
      1.5956676028107353,
      1.5956904920883086,
      1.595712803625487,
      1.5957345521283073,
      1.5957557515421548,
      1.595776415966048,
      1.595796558837611,
      1.595816193135327,
      1.5958353317334286,
      1.5958539870955735,
      1.595872171273734,
      1.5958898963140105,
      1.5959071736960657,
      1.595924014789846,
      1.5959404307528315,
      1.5959564319695372,
      1.5959720288643615,
      1.5959872318497732,
      1.5960020509693245,
      1.5960164959475842,
      1.5960305758840785,
      1.596044300066239,
      1.5960576775616526,
      1.596070717013769,
      1.5960834268445454,
      1.5960958154571139,
      1.596107890929829,
      1.596119661422387,
      1.596131134666471,
      1.5961423180667276,
      1.596153218903522,
      1.5961638442813937,
      1.5961742010266589,
      1.5961842958393535,
      1.596194135597767,
      1.596203726696584,
      1.5962130753514518,
      1.5962221877509686,
      1.59623107010696,
      1.5962397279418168,
      1.59624816690175,
      1.5962563926545337,
      1.5962644105837938,
      1.5962722258902051,
      1.596279843590996,
      1.5962872686211869,
      1.5962945058331164,
      1.5963015599959738,
      1.5963084358461994,
      1.596315137781851,
      1.5963216702182084,
      1.5963280372821882,
      1.5963342433714103,
      1.596340292645151,
      1.596346188973082,
      1.5963519363417862,
      1.5963575384474793,
      1.5963629990008072,
      1.5963683213196018,
      1.5963735089388922,
      1.5963785653053904,
      1.5963834937771517,
      1.5963882976232484,
      1.59639298007431,
      1.5963975441187535,
      1.5964019928076636,
      1.5964063290001862,
      1.5964105553632437,
      1.5964146747273074,
      1.596418689882676,
      1.5964226035283315,
      1.596426418220812,
      1.5964301365265479,
      1.5964337608181551,
      1.5964372933759305,
      1.5964407366419302,
      1.5964440927619772,
      1.5964473638906163,
      1.5964505522417627,
      1.5964536598341748,
      1.596456688847282,
      1.5964596410614944,
      1.5964625185700956,
      1.5964653236264346,
      1.5964680576773427,
      1.596470722685385,
      1.5964733204674655,
      1.5964758524912035,
      1.596478320637709,
      1.5964807262858884,
      1.5964830710752271,
      1.5964853567021815,
      1.5964875845131197,
      1.5964897560128015,
      1.5964918726099198,
      1.5964939357695458,
      1.5964959468095348,
      1.5964979068495353,
      1.5964998174212155,
      1.596501679654322,
      1.5965034946834584,
      1.5965052637497061,
      1.5965069882004967,
      1.5965086693877413,
      1.5965103082608099,
      1.5965119055698824,
      1.5965134622727701,
      1.5965149795348212,
      1.5965164584236287
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.36041587522657,
      11.183959790592551,
      10.9961529139014,
      10.798120030564442,
      10.591138505470774,
      10.376525779519005,
      10.155649496011314,
      9.929967486483763,
      9.701006622983456,
      9.470276128046015,
      9.239176214990678,
      9.008987098429682,
      8.780859450970716,
      8.555778641135923,
      8.334536632775322,
      8.117719817778209,
      7.905704925216314,
      7.698667078798978,
      7.496596861396452,
      7.299324191026511,
      7.106546284994937,
      6.917856501195385,
      6.732769960562531,
      6.5507533279624255,
      6.371252420094234,
      6.19371569027758,
      6.01761467696587,
      5.842454425780826,
      5.667786691175301,
      5.49322337517958,
      5.318453534233181,
      5.143262934255341,
      4.96754359453871,
      4.791303823412002,
      4.61465741826846,
      4.437795229777501,
      4.261002402061598,
      4.084681182384189,
      3.90933608791815,
      3.735536316001797,
      3.5638897574247554,
      3.3950348904495407,
      3.2296182093055594,
      3.0682727053301257,
      2.91160093453616,
      2.760154357636632,
      2.614417931286422,
      2.4748000443703515,
      2.3416271988059862,
      2.2151423191828217,
      2.0955074738813932,
      1.9828090964558531,
      1.8770650736859706,
      1.7782329284248621,
      1.6862183805934217,
      1.6008841971407761,
      1.522059648605028,
      1.449548274539117,
      1.3831373011394565,
      1.3226034201052705,
      1.2677165802075154,
      1.2182484435516918,
      1.1739780349170457,
      1.1346941077647341,
      1.1001934060075655,
      1.0702750984034617,
      1.0447173288794234,
      1.023239883987539,
      1.005480311222947,
      0.9910262087884005,
      0.9794377014950394,
      0.9703115397958517,
      0.9633285292306956,
      0.9582225305729215,
      0.9547526642332983,
      0.9527062722951095,
      0.9519000863821304,
      0.9521797280209746,
      0.9534082929766817,
      0.9554633704012006,
      0.9582377420948676,
      0.9616374845828817,
      0.9655803049873982,
      0.9699937455974403,
      0.9748121674561903,
      0.9799772041512271,
      0.9854380805160208,
      0.9911506042716198,
      0.9970762926260344,
      1.003181614365003,
      1.0094373334591218,
      1.0158179401599299,
      1.022301158032549,
      1.0288674888914726,
      1.0354997898734377,
      1.042183054647155,
      1.0489041418220164,
      1.0556515289207649,
      1.0624153981954658,
      1.069187717980374,
      1.0759616474126117,
      1.082731087946394,
      1.0894905825174745,
      1.0962352373500615,
      1.102960654657915,
      1.1096628733596985,
      1.1163383172408485,
      1.1229837501667106,
      1.1295962371567863,
      1.1361731099417556,
      1.14271193741831,
      1.1492104995470591,
      1.1556667647234775,
      1.1620788700507803,
      1.1684451040525115,
      1.1747638920312757,
      1.1810337824539188,
      1.1872534359531892,
      1.1934216150306614,
      1.199537175397642,
      1.2055990584190452,
      1.2116062846877047,
      1.217557947996289,
      1.2234532101451068,
      1.2292912963147382,
      1.2350714915472576,
      1.2407931373047094,
      1.2464556280928756,
      1.2520584088492712,
      1.257600972322581,
      1.2630828572974824,
      1.268503646740716,
      1.2738630956718415,
      1.2791611040496935,
      1.284397574995536,
      1.2895724178813468,
      1.2946855511979547,
      1.299736904444715,
      1.3047264200579292,
      1.3096540552260085,
      1.3145197831840807,
      1.3193235940889885,
      1.3240654964908654,
      1.3287455177727991,
      1.3333637048283795,
      1.3379201246196708,
      1.3424148642579283,
      1.346848031367867,
      1.3512197543269777,
      1.3555301822763919,
      1.3597794850539238,
      1.3639678526914443,
      1.3680955059186124,
      1.3721627787216273,
      1.3761700725508637,
      1.3801177865139915,
      1.3840063191784853,
      1.3878360702620667,
      1.3916074426203342,
      1.3953208433128104,
      1.3989766845623148,
      1.402575384761272,
      1.406117369067951,
      1.4096030700004591,
      1.4130329278252396,
      1.4164073909443384,
      1.4197269159763222,
      1.4229919678366005,
      1.4262030197156272,
      1.429360553005882,
      1.432465057534278,
      1.4355170307267544,
      1.438516977739769,
      1.4414654114400383,
      1.444362851469907,
      1.4472098248400014,
      1.4500068650487858,
      1.4527545113568041,
      1.4554533091315243,
      1.4581038090253555,
      1.4607065667674197,
      1.463262142603201,
      1.4657711010438699,
      1.4682340103661937,
      1.4706514422197587,
      1.4730239712912199,
      1.475352175026292,
      1.477636632850511,
      1.4798779257541863,
      1.4820766361403723,
      1.4842333474789624,
      1.4863486439710754,
      1.4884231099701681,
      1.490457329770966,
      1.4924518870040475,
      1.4944073646540672,
      1.4963243446344092,
      1.4982034073767818,
      1.5000451315890921,
      1.5018500937756243,
      1.5036188682322391,
      1.5053520266528908,
      1.507050137907719,
      1.5087137675865672,
      1.510343478071745,
      1.5119398280726388,
      1.51350337258943,
      1.5150346624928723,
      1.516534242652782,
      1.518002632135678,
      1.519440333771747,
      1.520847850816005,
      1.5222256864968513,
      1.5235743431867474,
      1.5248943212463217,
      1.5261861190681643,
      1.527450232489815,
      1.5286871545429057,
      1.5298973746743005,
      1.5310813784569985,
      1.532239647435271,
      1.5333726585960037,
      1.5344808844839797,
      1.5355647925375566,
      1.5366248452219524,
      1.5376614999434335,
      1.538675208541484,
      1.53966641732586,
      1.54063556679433,
      1.541583091743677,
      1.5425094212149795,
      1.543414978477087,
      1.5443001806418646,
      1.545165438572824,
      1.5460111569858408,
      1.5468377347933011,
      1.5476455645222336,
      1.548435032739583,
      1.5492065198065994,
      1.549960400081634,
      1.5506970416562404,
      1.551416806438688,
      1.5521200504326644,
      1.5528071234485712,
      1.5534783690615004,
      1.5541341254265817,
      1.554774724256286,
      1.5554004915712043,
      1.556011747325398,
      1.5566088056868035,
      1.5571919752100052,
      1.5577615584947198,
      1.5583178527035286,
      1.5588611492606217,
      1.5593917342067896,
      1.559909888041041,
      1.5604158858628505,
      1.5609099974591958,
      1.5613924872348484,
      1.5618636143421385,
      1.5623236330612316,
      1.5627727926681612,
      1.563211337146795,
      1.563639505813017,
      1.5640575328167607,
      1.5644656479125933,
      1.5648640759049797,
      1.565253036904595,
      1.5656327467854594,
      1.5660034166731749,
      1.5663652535497476,
      1.5667184596862864,
      1.5670632332433614,
      1.5673997684115257,
      1.567728254888646,
      1.5680488784234574,
      1.5683618210521475,
      1.568667260722877,
      1.5689653715290208,
      1.5692563237374015,
      1.5695402841202197,
      1.569817415827812,
      1.5700878782600676,
      1.570351827343468,
      1.5706094155525978,
      1.5708607931003393,
      1.5711061107545723,
      1.5713455160416747,
      1.5715791526024958,
      1.5718071603611696,
      1.5720296753369798,
      1.5722468301165768,
      1.5724587538676156,
      1.5726655725550684,
      1.5728674089024932,
      1.5730643827086421,
      1.5732566104004753,
      1.5734442059588403,
      1.5736272804194047,
      1.5738059421359676,
      1.5739802966363383,
      1.5741504469863399,
      1.5743164937464318,
      1.5744785350296073,
      1.5746366665588607,
      1.574790981876839,
      1.574941572199067,
      1.5750885263685346,
      1.5752319314202947,
      1.57537187238279,
      1.5755084321805939,
      1.575641691587722,
      1.5757717295875728,
      1.5758986234274248,
      1.5760224483675118,
      1.5761432780402134,
      1.5762611840460856,
      1.5763762363126237,
      1.576488503401966,
      1.576598052208053,
      1.5767049477044723,
      1.5768092536076748,
      1.5769110321753574,
      1.5770103441572894,
      1.5771072487459963,
      1.5772018038324915,
      1.5772940657532548,
      1.5773840897491753,
      1.577471929610578,
      1.577557637779909,
      1.577641265708643,
      1.577722863705464,
      1.5778024804283237,
      1.5778801635971262,
      1.577955960045122,
      1.5780299152616002,
      1.5781020736974543,
      1.5781724785620619,
      1.5782411721795984,
      1.578308195785804,
      1.5783735898333273,
      1.5784373936866656,
      1.5784996454696534,
      1.5785603830318886,
      1.578619642931471,
      1.5786774607909961,
      1.5787338715009382,
      1.5787889090669573,
      1.578842606965803,
      1.578894997382213,
      1.5789461120225328,
      1.5789959817076111,
      1.5790446366777533,
      1.5790921062872947,
      1.5791384191060678,
      1.5791836034277524,
      1.5792276866592285,
      1.5792706955237186,
      1.5793126561113322,
      1.5793535937770145,
      1.5793935334962488,
      1.5794324993560838,
      1.579470515012548,
      1.579507603588566,
      1.5795437874192821,
      1.5795790884585994,
      1.5796135283805302,
      1.5796471280701916,
      1.5796799079286012,
      1.579711887974024,
      1.5797430875872789,
      1.579773525613083,
      1.5798032207665726,
      1.579832191327743,
      1.5798604547850195,
      1.5798880282417826,
      1.5799149286194465,
      1.5799411722501742,
      1.5799667751308166,
      1.5799917529225451,
      1.580016120747025,
      1.5800398932369153,
      1.5800630852475877,
      1.5800857108395063,
      1.5801077837864954,
      1.58012931762625,
      1.5801503254565337,
      1.580170820036561,
      1.580190813990107,
      1.5802103196525785,
      1.580229348918087,
      1.5802479130356766,
      1.580266023626254,
      1.5802836917667415,
      1.5803009280914833,
      1.580317743097115,
      1.5803341469388108,
      1.580350149887749,
      1.580365761771318,
      1.5803809920236855,
      1.5803958500415545,
      1.5804103448278384,
      1.5804244851439746,
      1.5804382798148313,
      1.5804517372706703,
      1.5804648656994684,
      1.580477673046663,
      1.5804901673200762,
      1.5805023562336187,
      1.5805142470035953,
      1.5805258470096826,
      1.5805371634895171,
      1.5805482033350071,
      1.5805589734481418,
      1.5805694801812793,
      1.5805797299472861,
      1.5805897289650108,
      1.5805994833607986,
      1.5806089991174266,
      1.5806182821247619,
      1.5806273380778364,
      1.5806361725275158,
      1.5806447908294474,
      1.5806531983473227,
      1.5806614001983825,
      1.5806694013041036,
      1.5806772067460615,
      1.5806848212571305,
      1.5806922495264917,
      1.580699495996018,
      1.5807065652670167,
      1.5807134616931693,
      1.5807201892786484,
      1.5807267520848785,
      1.5807331544847016,
      1.5807394001958335,
      1.5807454931453915,
      1.5807514371137175,
      1.5807572357342394,
      1.5807628923916162,
      1.5807684105776487,
      1.580773793738572,
      1.5807790450206103,
      1.580784167727628,
      1.580789165117557,
      1.5807940403005547,
      1.5807987961371621,
      1.580803435594235,
      1.5808079614396613,
      1.5808123764457072,
      1.580816683338052,
      1.5808208847956884,
      1.5808249835525447,
      1.5808289820922101,
      1.5808328827495648,
      1.5808366879650049,
      1.5808404001317677,
      1.5808440214432486,
      1.5808475539437847,
      1.580851000088062,
      1.5808543619272282,
      1.580857641464849,
      1.5808608408602798,
      1.5808639620216878,
      1.5808670069620157,
      1.5808699773920043,
      1.5808728750761678,
      1.5808757018327222,
      1.5808784593300707,
      1.5808811494936355,
      1.5808837739462995,
      1.5808863342117936,
      1.5808888318672243,
      1.5808912683395653,
      1.580893645109052,
      1.580895963709124,
      1.580898225472055,
      1.5809004318340738,
      1.5809025840301378,
      1.5809046833990574,
      1.580906731383445,
      1.5809087293262092,
      1.5809106782670537,
      1.5809125794001972,
      1.5809144337691547,
      1.580916242877047
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360401500836922,
      11.183895729372619,
      10.996014811480162,
      10.797894292750017,
      10.590820781135927,
      10.376119670713205,
      10.15516555740871,
      9.929419527218531,
      9.700413135151075,
      9.469658757169933,
      9.238551893798478,
      9.008371973125467,
      8.780269581060203,
      8.555229517190618,
      8.334042793333134,
      8.11729455288947,
      7.905360221378296,
      7.698413663071625,
      7.496444324407565,
      7.299281194528245,
      7.1066208213364845,
      6.918056174313242,
      6.733102281856697,
      6.551225989109053,
      6.371873505339594,
      6.194493839085138,
      6.018559310017002,
      5.843576086074311,
      5.6690966272234,
      5.4947333171274835,
      5.3201754963572,
      5.145208976087524,
      4.969725659195425,
      4.793733533577324,
      4.617346545543737,
      4.440755090998117,
      4.264242156533049,
      4.08820712598351,
      3.9131520710122887,
      3.7396454000831554,
      3.568293022330044,
      3.3997310071323263,
      3.234603687682188,
      3.0735420467258066,
      2.917146875764867,
      2.765969054955052,
      2.620493307801448,
      2.481128177793636,
      2.348200467159769,
      2.2219537325743652,
      2.102550957287455,
      1.990079677985348,
      1.8845590076191092,
      1.7859477369899532,
      1.69415281476261,
      1.6090381933299454,
      1.5304342985765824,
      1.4581460099805579,
      1.391962091755391,
      1.3316600941151098,
      1.277011103254208,
      1.2277884702856265,
      1.183772689465831,
      1.1447535533967585,
      1.1105278069732183,
      1.0808911519652769,
      1.0556122329286388,
      1.0343928757848277,
      1.0168550861776673,
      1.0025739171772026,
      0.9911040774392595,
      0.9820492231189499,
      0.9750990772929196,
      0.9699908506767,
      0.9664859736242262,
      0.9643752466713161,
      0.9634788164966042,
      0.963644257553529,
      0.9647353672858593,
      0.9666319580574849,
      0.9692288266759789,
      0.972433876061391,
      0.9761664688380869,
      0.9803558628551535,
      0.9849382103650959,
      0.9898563912958583,
      0.9950607573508484,
      1.000508135953327,
      1.0061609675169663,
      1.0119865576314715,
      1.0179564298369066,
      1.024045765009475,
      1.0302329065954472,
      1.0364988764246093,
      1.0428270587926154,
      1.0492029407657089,
      1.0556138329160045,
      1.062048627505672,
      1.068497616323248,
      1.0749526338468427,
      1.0814067463493378,
      1.0878538539939557,
      1.0942887848028906,
      1.100707046670217,
      1.1071046111389553,
      1.11347785809106,
      1.1198235272116241,
      1.1261386757445786,
      1.1324206419192089,
      1.1386670131350656,
      1.1448755976503802,
      1.1510444002068112,
      1.157171601169216,
      1.1632555377500664,
      1.1692946877764927,
      1.1752876561591394,
      1.181233161786507,
      1.1871300273528846,
      1.1929771697502465,
      1.1987735918108042,
      1.2045183755802016,
      1.210210675472179,
      1.2158497132694268,
      1.2214347727666128,
      1.22696519617597,
      1.2324403799426902,
      1.2378597717373419,
      1.2432228673932613,
      1.248529208134355,
      1.2537783788467924,
      1.2589700055041715,
      1.264103753619503,
      1.2691793264962643,
      1.2741964638814096,
      1.2791549407601945,
      1.284054565726952,
      1.2888951797397223,
      1.293676655457012,
      1.2983989660234792,
      1.3030622240418661,
      1.3076665599575492,
      1.312212105527505,
      1.3166989958150257,
      1.3211273710466909,
      1.3254973787907904,
      1.3298091757465542,
      1.3340629286363614,
      1.3382588151166768,
      1.3423970249620283,
      1.3464777605045721,
      1.3505012372954892,
      1.3544676844281487,
      1.3583773449293697,
      1.3622304760147568,
      1.3660273533781926,
      1.3697683490019337,
      1.3734539032949487,
      1.377084450024842,
      1.3806604184569458,
      1.3841822357391338,
      1.3876503278064232,
      1.3910651208923182,
      1.3944270430891637,
      1.3977365251963145,
      1.400994001416641,
      1.4041999096989204,
      1.4073546921845308,
      1.4104587960136008,
      1.4135126733216206,
      1.4165167815967856,
      1.419471583686626,
      1.4223775476578249,
      1.4252351468655788,
      1.428044859978769,
      1.4308071707578103,
      1.4335225679925836,
      1.4361915450413731,
      1.4388145999883648,
      1.4413922350469202,
      1.443924956582362,
      1.4464132747374783,
      1.4488577031698386,
      1.4512587584944776,
      1.4536169602461468,
      1.4559328304971517,
      1.4582068934872252,
      1.460439675571215,
      1.4626317044679122,
      1.4647835091329744,
      1.4668956195952836,
      1.4689685666557284,
      1.4710028812455425,
      1.472999094411177,
      1.4749577371124984,
      1.4768793396316857,
      1.4787644313053327,
      1.4806135405804977,
      1.4824271944290541,
      1.4842059182907228,
      1.4859502358335184,
      1.487660668633875,
      1.4893377357772215,
      1.490981953989937,
      1.4925938370827494,
      1.4941738957233588,
      1.495722637895107,
      1.497240568058729,
      1.4987281870014468,
      1.5001859918653464,
      1.5016144762031902,
      1.5030141292485057,
      1.5043854361298532,
      1.5057288777583067,
      1.5070449306940064,
      1.5083340670432566,
      1.5095967540306718,
      1.510833454315065,
      1.5120446256255022,
      1.5132307208880016,
      1.5143921879786577,
      1.5155294697650432,
      1.5166430038768417,
      1.5177332229183826,
      1.518800554157166,
      1.5198454193500706,
      1.5208682350637484,
      1.5218694125742331,
      1.522849350072741,
      1.5238084253145772,
      1.5247470114469237,
      1.525665479600163,
      1.526564198162328,
      1.5274435328567717,
      1.528303846351771,
      1.529145497656668,
      1.529968842220344,
      1.5307742312063972,
      1.5315620121832818,
      1.5323325284323035,
      1.5330861189591014,
      1.5338231181407163,
      1.5345438557715212,
      1.5352486571013504,
      1.535937842662667,
      1.5366117279887315,
      1.5372706240368328,
      1.5379148370961542,
      1.5385446687400277,
      1.539160415110681,
      1.539762367774649,
      1.5403508132499424,
      1.5409260332905608,
      1.5414883050130277,
      1.5420379008143084,
      1.542575088081305,
      1.5431001294041644,
      1.5436132828358438,
      1.5441148016894868,
      1.5446049345858668,
      1.5450839255476057,
      1.5455520140894605,
      1.546009435406582,
      1.5464564198470876,
      1.5468931936527106,
      1.547319978628009,
      1.5477369924167454,
      1.548144448520888,
      1.54854255621495,
      1.5489315205083833,
      1.5493115423595425,
      1.5496828188362273,
      1.5500455428159616,
      1.5503999035485492,
      1.5507460865551406,
      1.5510842736268535,
      1.551414642617837,
      1.55173736759236,
      1.5520526191225417,
      1.5523605645333907,
      1.5526613674848755,
      1.552955188264367,
      1.553242183823152,
      1.5535225078113946,
      1.5537963106624746,
      1.5540637394724455,
      1.5543249381833013,
      1.5545800478158016,
      1.5548292066501863,
      1.5550725498970852,
      1.555310209825047,
      1.5555423156326416,
      1.555768993878999,
      1.5559903683029985,
      1.5562065602518476,
      1.5564176882440806,
      1.5566238681928888,
      1.5568252134760205,
      1.5570218350557268,
      1.5572138414962216,
      1.5574013389804044,
      1.5575844313258715,
      1.557763219898527,
      1.5579378041358922,
      1.5581082810016844,
      1.5582747451518828,
      1.5584372892527996,
      1.5585960040951568,
      1.558750978504214,
      1.5589022990459436,
      1.55905005059739,
      1.559194316001048,
      1.559335176278295,
      1.5594727106898199,
      1.559606996592201,
      1.5597381097010061,
      1.559866123844897,
      1.5599911113805978,
      1.560113142692004,
      1.5602322869096663,
      1.5603486117144558,
      1.560462182734029,
      1.5605730643122984,
      1.5606813193631062,
      1.5607870094779548,
      1.5608901948809135,
      1.560990934383289,
      1.5610892850837519,
      1.561185303136358,
      1.5612790433485264,
      1.5613705593383158,
      1.561459903284604,
      1.561547126134848,
      1.5616322778126728,
      1.5617154070183878,
      1.561796561334529,
      1.5618757873821059,
      1.5619531304680794,
      1.5620286347921855,
      1.562102343958798,
      1.5621743004714237,
      1.5622445457356977,
      1.5623131200622573,
      1.5623800626695001,
      1.56244541209313,
      1.562509206188708,
      1.562571481828927,
      1.5626322760249567,
      1.562691625114936,
      1.5627495644610128,
      1.5628061283497454,
      1.562861350045001,
      1.5629152622476723,
      1.562967896588934,
      1.5630192836829109,
      1.5630694535353027,
      1.5631184354433245,
      1.563166257742994,
      1.5632129483701573,
      1.5632585343024803,
      1.5633030419677736,
      1.5633464969401818,
      1.5633889241958148,
      1.563430348164871,
      1.563470793038037,
      1.5635102819030022,
      1.5635488373559419,
      1.5635864815025995,
      1.5636232360610665,
      1.563659122057617,
      1.563694160031135,
      1.563728370034052,
      1.5637617715315297,
      1.563794383656642,
      1.563826225211221,
      1.5638573144123598,
      1.5638876688931955,
      1.5639173061105678,
      1.5639462431423001,
      1.563974496281008,
      1.56400208174685,
      1.5640290155356023,
      1.5640553128598067,
      1.564080988861462,
      1.5641060581548518,
      1.5641305351322956,
      1.564154433608663,
      1.5641777673305335,
      1.564200549468087,
      1.5642227929716404,
      1.5642445105212661,
      1.5642657147307115,
      1.564286417639226,
      1.564306631169765,
      1.5643263670276892,
      1.5643456362942743,
      1.5643644503426353,
      1.5643828198208618,
      1.5644007551101522,
      1.5644182663760342,
      1.5644353635178463,
      1.5644520564233884,
      1.564468354562347,
      1.5644842673935133,
      1.5644998039581903,
      1.5645149730330776,
      1.5645297831305558,
      1.5645442427532747,
      1.564558360394427,
      1.5645721439785218,
      1.5645856015228543,
      1.5645987407817132,
      1.5646115691448983,
      1.5646240939431233,
      1.5646363226516933,
      1.5646482621786484,
      1.5646599191701538,
      1.5646713003158739,
      1.564682412298311,
      1.5646932613352362,
      1.564703853637639,
      1.5647141953081842,
      1.564724292137938,
      1.5647341500134384,
      1.564743774560825,
      1.5647531715020415,
      1.564762346248094,
      1.5647713038992042,
      1.564780049499268,
      1.5647885881885868,
      1.5647969247462437,
      1.5648050637936906,
      1.5648130102017759,
      1.5648207686331141,
      1.5648283435422143,
      1.5648357390230117,
      1.5648429593176079,
      1.5648500088163861,
      1.5648568914477747,
      1.5648636111361176,
      1.5648701718017801,
      1.5648765772595272,
      1.5648828311168979,
      1.564888936876027,
      1.5648948979337383,
      1.5649007177850829,
      1.5649063998708432,
      1.5649119475267605,
      1.5649173639327556,
      1.5649226522147388,
      1.564927815190375,
      1.5649328558269227,
      1.5649377772921726,
      1.5649425821407226,
      1.564947273229573,
      1.5649518532095716,
      1.564956324728931,
      1.5649606904841609,
      1.5649649527623668,
      1.5649691142551156,
      1.5649731773972828,
      1.5649771443671145,
      1.564981017544049,
      1.5649847991527335,
      1.5649884912122172,
      1.56499209589204,
      1.5649956152071112,
      1.5649990510686194,
      1.5650024054875322,
      1.5650056804220562,
      1.56500887767596,
      1.5650119991020681,
      1.5650150468057589,
      1.565018022382071,
      1.5650209274243723,
      1.5650237638295732,
      1.5650265332895459,
      1.5650292371894385,
      1.5650318771163365,
      1.5650344547575754,
      1.565036971290427,
      1.5650394279924824,
      1.5650418264451325,
      1.565044168126703,
      1.5650464544633538,
      1.5650486866765227,
      1.5650508661389952
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360387539757006,
      11.183833512236186,
      10.995880437679551,
      10.797674527916488,
      10.590511648876115,
      10.375725001090736,
      10.154695989766083,
      9.928889231138998,
      9.699840880967173,
      9.469065943131902,
      9.237955410812347,
      9.007787864670595,
      8.779713714138959,
      8.554717133483122,
      8.33358814272082,
      8.116910636647537,
      7.905058784307931,
      7.698205210186372,
      7.496338247788564,
      7.299285980197887,
      7.106744306864707,
      6.9183058195703255,
      6.733485454588079,
      6.551750239958768,
      6.372546769958471,
      6.195324591184964,
      6.019556780441469,
      5.844750499794491,
      5.670459003232923,
      5.496295142145322,
      5.321948485820996,
      5.147204832395331,
      4.971955912640898,
      4.796209341642744,
      4.620079300596734,
      4.4437558067525975,
      4.267519652444672,
      4.091767338852726,
      3.9169982312064517,
      3.7437802187765916,
      3.5727175948511096,
      3.404444004969575,
      3.2396016108975085,
      3.0788193818497547,
      2.922696395150654,
      2.771782936566744,
      2.6265634641266877,
      2.4874466669754596,
      2.3547596098884083,
      2.228746471146283,
      2.1095711360536917,
      1.997322230093928,
      1.8920200737076474,
      1.7936247106067553,
      1.702044296029086,
      1.6171439644953267,
      1.5387552800333804,
      1.4666844864087143,
      1.400721813529406,
      1.3406456522448558,
      1.2862282041439361,
      1.237244683077699,
      1.1934771559270982,
      1.154716210183749,
      1.1207575104617322,
      1.0913926352868226,
      1.0663805717891806,
      1.0454047533991657,
      1.0280728754072386,
      1.0139475349171456,
      1.002578758079678,
      0.9935800978676773,
      0.9866490055002728,
      0.9815253450213793,
      0.9779734393170847,
      0.9757874342214299,
      0.9747906068105842,
      0.9748315194466137,
      0.9757755474269416,
      0.9775046976226047,
      0.979915755549322,
      0.9829184261782575,
      0.9864337049782236,
      0.9903924521916505,
      0.9947326628355071,
      0.9993985518443327,
      1.0043415637256092,
      1.00951951456782,
      1.0148957397641156,
      1.0204383559370764,
      1.0261196225387763,
      1.0319153999810717,
      1.0378045948388486,
      1.0437687398692177,
      1.0497917419871479,
      1.0558595652430738,
      1.0619599562717728,
      1.0680822073368843,
      1.0742169513270268,
      1.0803560220511248,
      1.086492590941226,
      1.0926208556986068,
      1.0987356829551445,
      1.104832523938505,
      1.1109073407651604,
      1.1169565918024225,
      1.122977314665263,
      1.1289669008144105,
      1.1349229960807004,
      1.1408434715225335,
      1.1467263981111333,
      1.1525700248729507,
      1.1583727593623487,
      1.1641331505665968,
      1.1698498746044252,
      1.1755217222137222,
      1.1811475871796928,
      1.186726456588721,
      1.192257402474049,
      1.19773957437207,
      1.2031721926154437,
      1.2085545427513065,
      1.213885970609895,
      1.2191658776022591,
      1.2243937174536768,
      1.2295689923779045,
      1.2346912502575538,
      1.2397600815998386,
      1.244775117530647,
      1.2497360275465033,
      1.254642518187366,
      1.2594943305888613,
      1.2642912394500818,
      1.269033051326095,
      1.273719603459983,
      1.2783507632002555,
      1.2829264262191111,
      1.2874465157644608,
      1.2919109819752883,
      1.2963198007987036,
      1.300672973217201,
      1.3049705245278556,
      1.3092125035690723,
      1.313398981993021,
      1.3175300537337615,
      1.3216058340577486,
      1.3256264820998114,
      1.3295922770261732,
      1.3335035336739023,
      1.337360563508045,
      1.3411636772889806,
      1.3449131866236288,
      1.348609405369468,
      1.3522526510962039,
      1.3558432457416885,
      1.3593815165309941,
      1.3628677973631544,
      1.3663024639821513,
      1.3696859817056923,
      1.3730188236117054,
      1.3763014527779174,
      1.3795343246043315,
      1.3827178884187392,
      1.3858525898941159,
      1.3889388718387465,
      1.3919771750393157,
      1.3949679397177768,
      1.3979116064340578,
      1.4008086164865103,
      1.403659412472496,
      1.4064644387556537,
      1.4092241419424818,
      1.4119389709621328,
      1.4146093774114525,
      1.417235815250194,
      1.419818741372911,
      1.4223586152272105,
      1.4248558990045723,
      1.4273110574889003,
      1.4297245578685287,
      1.4320968695118377,
      1.4344284640633826,
      1.436719815199634,
      1.4389713984518069,
      1.4411836908927993,
      1.4433571710956208,
      1.445492318448273,
      1.4475896137074147,
      1.4496495380449694,
      1.4516725732328348,
      1.4536592012878722,
      1.4556099042896822,
      1.457525163863231,
      1.4594054612930278,
      1.4612512774557527,
      1.4630630921650518,
      1.4648413840478758,
      1.4665866302916917,
      1.4682993068735681,
      1.4699798878983723,
      1.4716288456233892,
      1.4732466502543893,
      1.4748337696663094,
      1.4763906691507256,
      1.477917811546804,
      1.4794156568407546,
      1.4808846620480776,
      1.4823252809722927,
      1.4837379641458084,
      1.485123158953511,
      1.4864813092275615,
      1.4878128553820487,
      1.4891182335620716,
      1.4903978762490868,
      1.491652212288679,
      1.4928816660360633,
      1.4940866579084893,
      1.4952676042597874,
      1.4964249171370594,
      1.4975590041232978,
      1.4986702683681818,
      1.4997591086040336,
      1.5008259188930542,
      1.50187108871665,
      1.5028950030002963,
      1.503898042125347,
      1.504880581572062,
      1.5058429920588976,
      1.506785639771612,
      1.5077088861230263,
      1.5086130877050685,
      1.509498596128221,
      1.510365758206506,
      1.5112149158779786,
      1.5120464063696943,
      1.5128605623532356,
      1.513657711531603,
      1.5144381767258015,
      1.515202275800276,
      1.515950322037764,
      1.5166826240483968,
      1.5173994855185293,
      1.518101205613258,
      1.518788078557936,
      1.5194603939756464,
      1.5201184373705439,
      1.5207624891297464,
      1.5213928249939475,
      1.5220097164710749,
      1.522613430430356,
      1.5232042291485304,
      1.523782370757506,
      1.5243481088730217,
      1.5249016927777557,
      1.5254433674978298,
      1.525973373772931,
      1.526491948072749,
      1.526999322761648,
      1.5274957259539907,
      1.5279813819248818,
      1.5284565086687434,
      1.5289213117406117,
      1.529375992232666,
      1.529820748999553,
      1.5302557788462194,
      1.5306812758990178,
      1.5310974319403492,
      1.5315044359775918,
      1.5319024744197078,
      1.5322917306916988,
      1.5326723857112237,
      1.533044617345494,
      1.5334086007304524,
      1.5337645080281688,
      1.5341125084871476,
      1.5344527683987987,
      1.5347854511535053,
      1.5351107171421026,
      1.535428724265768,
      1.535739627070751,
      1.5360435774580368,
      1.5363407244248446,
      1.5366312141096337,
      1.5369151897846225,
      1.5371927918975834,
      1.537464158417301,
      1.5377294246689797,
      1.5379887231682627,
      1.5382421835555942,
      1.5384899331904873,
      1.5387320968290334,
      1.538968796859697,
      1.5392001529784654,
      1.5394262824223768,
      1.5396473000493478,
      1.5398633183661177,
      1.5400744477077997,
      1.540280796060419,
      1.540482468984272,
      1.540679569841538,
      1.5408722000739152,
      1.541060458614765,
      1.5412444425720193,
      1.5414242468422124,
      1.5415999644867202,
      1.5417716864460829,
      1.5419395019657165,
      1.5421034984106452,
      1.5422637610287249,
      1.5424203731710215,
      1.5425734166133085,
      1.5427229713175348,
      1.542869115701372,
      1.5430119261951851,
      1.5431514774596822,
      1.5432878425522,
      1.5434210932451315,
      1.5435512996318297,
      1.5436785302407179,
      1.5438028521998366,
      1.543924331095818,
      1.5440430310359232,
      1.5441590148114233,
      1.5442723438571864,
      1.544383078058312,
      1.5444912764211147,
      1.5445969961161863,
      1.5447002932504597,
      1.5448012226217087,
      1.544899837930544,
      1.5449961917886843,
      1.545090335574372,
      1.5451823194401204,
      1.5452721922693435,
      1.5453600022939527,
      1.5454457963384425,
      1.5455296200810087,
      1.5456115183652834,
      1.5456915351558496,
      1.5457697133409747,
      1.5458460946877344,
      1.5459207202546938,
      1.5459936300923522,
      1.5460648630451326,
      1.5461344576721623,
      1.546202451336864,
      1.5462688805679554,
      1.5463337809116493,
      1.546397187444931,
      1.5464591343222998,
      1.5465196550853362,
      1.5465787825143649,
      1.546636548480003,
      1.5466929837436927,
      1.5467481188262127,
      1.5468019835536733,
      1.5468546069085805,
      1.5469060174911247,
      1.5469562430140096,
      1.5470053106109465,
      1.5470532469924854,
      1.5471000779914015,
      1.5471458291760947,
      1.5471905250397555,
      1.547234189918755,
      1.5472768474359584,
      1.5473185205034294,
      1.5473592320371365,
      1.547399004400045,
      1.5474378587942712,
      1.5474758164333264,
      1.5475128978323816,
      1.547549123166597,
      1.5475845121207372,
      1.5476190840439394,
      1.5476528577483573,
      1.5476858515620662,
      1.5477180833819073,
      1.547749570777135,
      1.5477803306861182,
      1.5478103800793643,
      1.5478397352492286,
      1.5478684121676838,
      1.5478964264371244,
      1.5479237934954544,
      1.5479505281090518,
      1.5479766449846717,
      1.5480021583131818,
      1.5480270819744815,
      1.5480514294880585,
      1.5480752140652287,
      1.5480984487122111,
      1.5481211462823015,
      1.5481433191719873,
      1.5481649794239196,
      1.5481861389824407,
      1.548206809287866,
      1.548227001735389,
      1.5482467273201688,
      1.5482659966892778,
      1.5482848203970696,
      1.5483032086010393,
      1.548321171215399,
      1.5483387182680943,
      1.5483558594440099,
      1.5483726041367663,
      1.548388961500498,
      1.5484049404507352,
      1.548420549563529,
      1.5484357973814664,
      1.5484506922618837,
      1.5484652424285357,
      1.548479455870653,
      1.5484933405471506,
      1.54850690392961,
      1.5485201535624888,
      1.5485330965551887,
      1.548545739989644,
      1.5485580907683831,
      1.5485701555134588,
      1.5485819408722432,
      1.5485934534163237,
      1.5486046994895228,
      1.5486156852084882,
      1.5486264166667116,
      1.5486368996807824,
      1.548647139892644,
      1.5486571429735727,
      1.5486669143195164,
      1.5486764595602285,
      1.5486857838985557,
      1.548694892212647,
      1.548703789615893,
      1.5487124809996204,
      1.5487209712369943,
      1.548729264878285,
      1.548737366507322,
      1.5487452805893154,
      1.5487530115729928,
      1.5487605635858197,
      1.548767940688695,
      1.5487751468763082,
      1.548782186280958,
      1.5487890628677456,
      1.5487957801806105,
      1.5488023418512868,
      1.548808751548762,
      1.548815012827019,
      1.5488211290744898,
      1.5488271037178065,
      1.5488329400186622,
      1.5488386411249593,
      1.5488442102745494,
      1.5488496502868816,
      1.5488549642244802,
      1.5488601549863117,
      1.5488652254097648,
      1.548870178270904,
      1.548875016233854,
      1.548879742257941,
      1.5488843587841392,
      1.5488888681930575,
      1.5488932730594682,
      1.548897575694766,
      1.5489017785032078,
      1.548905884083856,
      1.5489098946204485,
      1.5489138120850414,
      1.5489176387468169,
      1.548921376663647,
      1.548925027936594,
      1.548928594811819,
      1.5489320793755998,
      1.5489354834527846,
      1.5489388086578222,
      1.5489420568018046,
      1.5489452295874435,
      1.5489483290161297,
      1.5489513565742916,
      1.5489543138438873,
      1.548957202451678,
      1.548960024171099,
      1.5489627805155033,
      1.5489654729417497,
      1.5489681031046447,
      1.5489706726027717
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360374045290861,
      11.183773403343752,
      10.99575017501071,
      10.797461181787812,
      10.590211810716227,
      10.375342911105488,
      10.15424246521417,
      9.928378690529852,
      9.699292358512839,
      9.468499124043369,
      9.237386324983916,
      9.007232685199549,
      8.779188428948435,
      8.554237028463675,
      8.333167489952746,
      8.116562437507364,
      7.904794774268793,
      7.6980358822849775,
      7.496272985139471,
      7.299333265188269,
      7.106911976543069,
      6.918601327653253,
      6.733916147204273,
      6.552323639605394,
      6.37327077137191,
      6.196207605761989,
      6.0206079481508565,
      5.845979921490104,
      5.671877557860379,
      5.497914160607919,
      5.3237794727326575,
      5.149259220045295,
      4.974244901403704,
      4.798743701409222,
      4.622870098386103,
      4.446813782956433,
      4.270853303405407,
      4.09538223961618,
      3.920897172107065,
      3.7479653355340057,
      3.5771899121854247,
      3.409202096514085,
      3.244641858432314,
      3.0841361413290294,
      2.928282418157752,
      2.7776303618156484,
      2.6326641279217915,
      2.493792451904009,
      2.3613426600921867,
      2.2355595582492334,
      2.1166079329124963,
      2.00457749814477,
      1.8994897794986727,
      1.8013060707103374,
      1.709935717892343,
      1.6252450506668352,
      1.5470667646762593,
      1.4752086874043346,
      1.4094622623434414,
      1.3496067114165478,
      1.2954156064214115,
      1.246665725860363,
      1.2031406873426886,
      1.1646311827266018,
      1.130930754900757,
      1.1018259225271592,
      1.0770644303382797,
      1.056309832520988,
      1.0391574867824724,
      1.025160359927701,
      1.0138658210895366,
      1.0049001697261446,
      0.9979668020111525,
      0.992808302462144,
      0.989192046239794,
      0.9869150580332594,
      0.9858029795216237,
      0.9857053659554909,
      0.9864896334063188,
      0.988039875757289,
      0.9902547717810081,
      0.9930457430851083,
      0.996335341890535,
      1.0000558403349191,
      1.0041470984279603,
      1.0085547559654588,
      1.013231281105235,
      1.0181354167357055,
      1.0232313383611746,
      1.0284879249914742,
      1.033878159893409,
      1.0393784954148693,
      1.0449683184442107,
      1.0506297034197847,
      1.056347050915699,
      1.0621067755150042,
      1.0678970358791,
      1.0737075019635938,
      1.0795291534028657,
      1.085354105757989,
      1.0911754628155512,
      1.0969874561855917,
      1.1027852623367995,
      1.1085646180603745,
      1.1143217491781219,
      1.1200533093947822,
      1.125756326858004,
      1.1314281579362848,
      1.137066447131106,
      1.1426690921069025,
      1.1482342136496435,
      1.1537601908559068,
      1.159245689929501,
      1.164689520166627,
      1.1700905970100526,
      1.175447931497186,
      1.1807606206957322,
      1.1860278397120412,
      1.1912488350468737,
      1.1964229183648407,
      1.2015494613209714,
      1.2066278905140966,
      1.2116576833669574,
      1.2166383642597496,
      1.2215695017195023,
      1.2264507054861595,
      1.23128162415865,
      1.236061942802378,
      1.2407913809685955,
      1.2454696910678578,
      1.2500966568375822,
      1.2546720917959184,
      1.259195838185632,
      1.2636677653856356,
      1.2680877691083239,
      1.2724557705136208,
      1.2767717152359752,
      1.2810355726770488,
      1.2852473350008038,
      1.2894070164383826,
      1.2935146526960601,
      1.2975703002602141,
      1.3015740355966268,
      1.305525954902828,
      1.3094261730887524,
      1.3132748234075697,
      1.3170720571752619,
      1.3208180427631921,
      1.3245129650824625,
      1.3281570255073891,
      1.3317504407617229,
      1.335293443105795,
      1.338786279279865,
      1.3422292100845328,
      1.3456225097829135,
      1.3489664661374203,
      1.3522613794017613,
      1.355507561894812,
      1.3587053695893745,
      1.3618552354313755,
      1.3649576380710555,
      1.368013121615369,
      1.3710222235634442,
      1.3739854626650034,
      1.3769033419753565,
      1.3797763517508295,
      1.382604971272867,
      1.3853896709261295,
      1.3881309137195137,
      1.390829156862786,
      1.3934848525361518,
      1.3960984491260042,
      1.3986703921146983,
      1.4012011248292118,
      1.4036910888974918,
      1.4061407248710904,
      1.4085504723541977,
      1.4109207707076663,
      1.4132520591086786,
      1.4155447762716313,
      1.4177993612551225,
      1.4200162533212897,
      1.4221958916112238,
      1.4243387153487592,
      1.4264451642683014,
      1.4285156779448156,
      1.430550696213603,
      1.4325506587476644,
      1.434516005013704,
      1.4364471742513374,
      1.4383446053233815,
      1.4402087365396181,
      1.4420400051998876,
      1.4438388481796456,
      1.4456057013204395,
      1.4473409994061626,
      1.4490451758098208,
      1.4507186626251174,
      1.452361890266183,
      1.4539752873496028,
      1.4555592807575481,
      1.4571142951704092,
      1.4586407531883157,
      1.4601390751774364,
      1.4616096792483868,
      1.463052980960394,
      1.4644693931076118,
      1.465859325791458,
      1.467223186169094,
      1.468561378438086,
      1.4698743038541298,
      1.471162360070186,
      1.4724259417302608,
      1.4736654400803328,
      1.4748812428684352,
      1.476073734279877,
      1.4772432951624777,
      1.478390302474049,
      1.479515129325739,
      1.4806181451130396,
      1.4816997153787834,
      1.4827602017646124,
      1.4837999621529991,
      1.4848193499320375,
      1.4858187148247093,
      1.486798402434728,
      1.487758754289564,
      1.488700107872281,
      1.4896227962355826,
      1.4905271483682452,
      1.4914134891953004,
      1.4922821393648664,
      1.4931334152796445,
      1.4939676292208282,
      1.4947850892595487,
      1.495586099312115,
      1.4963709589833176,
      1.497139963910141,
      1.4978934052328583,
      1.4986315697195143,
      1.49935474049333,
      1.5000631962778461,
      1.5007572117032204,
      1.5014370571479105,
      1.502102998980683,
      1.5027552992876474,
      1.5033942163560472,
      1.5040200046435144,
      1.5046329142329777,
      1.50523319129918,
      1.5058210781629102,
      1.5063968129840049,
      1.5069606304665375,
      1.507512761491067,
      1.508053432640473,
      1.5085828671961863,
      1.5091012843498748,
      1.5096088996315222,
      1.5101059252316968,
      1.5105925694043592,
      1.5110690369339241,
      1.5115355289882286,
      1.5119922433239976,
      1.5124393744888474,
      1.512877113104437,
      1.5133056466213763,
      1.5137251592571817,
      1.514135832083862,
      1.5145378425022573,
      1.5149313649342402,
      1.5153165706474887,
      1.5156936276285782,
      1.516062700911243,
      1.5164239525970598,
      1.5167775417212015,
      1.5171236243701751,
      1.5174623536448268,
      1.5177938797228887,
      1.5181183501229307,
      1.5184359096103315,
      1.5187467001013233,
      1.5190508608703457,
      1.5193485285013288,
      1.519639836837227,
      1.5199249172839058,
      1.5202038989598863,
      1.5204769081324518,
      1.5207440689746994,
      1.5210055029986969,
      1.521261329199321,
      1.5215116644510196,
      1.5217566232929685,
      1.5219963180689802,
      1.5222308590153648,
      1.5224603541441737,
      1.522684909227028,
      1.5229046276252427,
      1.5231196109835154,
      1.5233299589053761,
      1.523535768932851,
      1.5237371368303285,
      1.5239341563589046,
      1.5241269194058453,
      1.5243155160115014,
      1.5245000344462398,
      1.5246805610322403,
      1.5248571803205755,
      1.5250299752674994,
      1.5251990271557272,
      1.5253644154641648,
      1.5255262179912277,
      1.525684511180984,
      1.5258393697874344,
      1.525990867250304,
      1.5261390753581394,
      1.5262840642160136,
      1.5264259025178308,
      1.5265646574620217,
      1.526700395378846,
      1.5268331807296085,
      1.5269630769872924,
      1.5270901459908435,
      1.5272144483670957,
      1.5273360437488188,
      1.527454990127708,
      1.5275713444784744,
      1.5276851625178958,
      1.5277964988195083,
      1.5279054069279425,
      1.5280119389642715,
      1.5281161462482238,
      1.5282180789537256,
      1.528317786069255,
      1.5284153157139104,
      1.5285107150463044,
      1.5286040301222903,
      1.5286953058541028,
      1.5287845865287157,
      1.5288719152578163,
      1.5289573344956378,
      1.529040885539291,
      1.5291226087409064,
      1.5292025437195138,
      1.5292807292675428,
      1.5293572032062337,
      1.5294320029528863,
      1.5295051647655167,
      1.5295767243097138,
      1.529646716208036,
      1.5297151745555913,
      1.529782132723355,
      1.5298476234156577,
      1.529911678524017,
      1.5299743293368333,
      1.5300356063420337,
      1.5300955395890325,
      1.5301541581858762,
      1.530211490711746,
      1.5302675653241289,
      1.5303224095098604,
      1.5303760500394519,
      1.5304285132772995,
      1.5304798249831677,
      1.5305300102661423,
      1.53057909364014,
      1.5306270993336282,
      1.5306740506837098,
      1.530719970852502,
      1.530764882424453,
      1.53080880725785,
      1.53085176715001,
      1.5308937831799705,
      1.530934875763155,
      1.5309750651127951,
      1.531014371090955,
      1.5310528130085843,
      1.5310904097306783,
      1.5311271799847896,
      1.531163141753937,
      1.5311983125849702,
      1.5312327096933338,
      1.5312663500169499,
      1.5312992504734653,
      1.5313314272002265,
      1.5313628959639658,
      1.5313936722652535,
      1.53142377134114,
      1.531453208218637,
      1.5314819972594917,
      1.5315101527730097,
      1.5315376886115608,
      1.531564618325519,
      1.5315909551655347,
      1.5316167121356457,
      1.5316419019445862,
      1.53166653705878,
      1.5316906298061537,
      1.5317141920729995,
      1.5317372355094134,
      1.5317597713786308,
      1.5317818108132122,
      1.5318033648168878,
      1.531824444062899,
      1.5318450590992267,
      1.5318652199942537,
      1.5318849368470782,
      1.5319042192805095,
      1.5319230767478187,
      1.5319415186868792,
      1.5319595542165134,
      1.5319771922905672,
      1.531994441546757,
      1.5320113106132605,
      1.532027808059248,
      1.5320439419893346,
      1.5320597202483575,
      1.532075150626082,
      1.5320902409601782,
      1.532104998781429,
      1.5321194314166628,
      1.5321335458882028,
      1.5321473490675677,
      1.5321608476765685,
      1.5321740484409694,
      1.5321869581424208,
      1.5321995831108886,
      1.5322119297851686,
      1.5322240044087148,
      1.53223581282717,
      1.532247360896205,
      1.5322586544315675,
      1.5322696989048186,
      1.5322804996985158,
      1.532291062259639,
      1.5323013919987307,
      1.5323114939855453,
      1.5323213732041805,
      1.5323310346047088,
      1.532340483103943,
      1.5323497232810344,
      1.5323587597342279,
      1.532367596878121,
      1.532376239147814,
      1.5323846908978531,
      1.5323929564029302,
      1.532401039400754,
      1.5324089441099167,
      1.5324166745184462,
      1.5324242342826988,
      1.5324316272874285,
      1.5324388571377552,
      1.5324459274648912,
      1.5324528418249774,
      1.532459603597915,
      1.5324662161913283,
      1.532472682837636,
      1.5324790066454184,
      1.5324851908033474,
      1.5324912383772267,
      1.5324971526156306,
      1.5325029364417788,
      1.5325085925557105,
      1.532514123841607,
      1.5325195332664978,
      1.5325248233212272,
      1.5325299964277392,
      1.5325350552446249,
      1.5325400023623532,
      1.5325448402528077,
      1.5325495712696473,
      1.5325541977504056,
      1.532558722220306,
      1.53256314693486,
      1.5325674744397295,
      1.5325717063503672,
      1.5325758448781825,
      1.5325798922713747,
      1.5325838504592357,
      1.5325877213067522,
      1.532591506665756,
      1.5325952086803933,
      1.5325988290753547,
      1.5326023695121835,
      1.5326058319455707,
      1.532609218013289,
      1.5326125292398982
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.36036108020297,
      11.183715725158748,
      10.995624994734765,
      10.797256257087781,
      10.589924490056465,
      10.374978017096707,
      10.153809929383645,
      9.927892942744288,
      9.698773551832431,
      9.467966167933934,
      9.236855136687412,
      9.006719571799783,
      8.778709532600331,
      8.553807704138393,
      8.33280203771074,
      8.116273866211673,
      7.90459482261402,
      7.697935054584234,
      7.496280691272757,
      7.299458033838461,
      7.107161711236084,
      6.9189835605222765,
      6.734438306590632,
      6.552993337662057,
      6.374095989173589,
      6.197196827555272,
      6.021770361419993,
      5.847325644304821,
      5.673417466628444,
      5.499659558296459,
      5.325741756238244,
      5.151449623166879,
      4.97667432616784,
      4.80142251345327,
      4.625808965116193,
      4.4500230471260895,
      4.274340952513288,
      4.099153223927205,
      3.9249535560166313,
      3.7523083036065215,
      3.581819964013543,
      3.414117227738512,
      3.2498378385202287,
      3.0896066986748583,
      2.9340196759819115,
      2.783625846069026,
      2.6389091224632275,
      2.500278287653694,
      2.3680609787314553,
      2.2425026927989173,
      2.123769170337148,
      2.0119512647993223,
      1.9070717549031164,
      1.8090932255844039,
      1.717926257466131,
      1.6334384048057151,
      1.5554635186925354,
      1.4838110265813191,
      1.4182735965536888,
      1.358631288647051,
      1.3046591736257758,
      1.2561355524274742,
      1.2128454642378734,
      1.1745784879531072,
      1.14112619113175,
      1.1122707213875855,
      1.087746926668289,
      1.0671986621797211,
      1.0502091358143728,
      1.03632236628466,
      1.0250879136748043,
      1.0161417839565545,
      1.0091941661492911,
      1.0039899173538351,
      1.0002991356771855,
      0.9979216626489722,
      0.9966850004638598,
      0.9964399539123721,
      0.9970562097092417,
      0.9984199222638832,
      1.0004316380776856,
      1.00300447160973,
      1.0060625091049578,
      1.0095394130328792,
      1.0133768079528285,
      1.0175218885866382,
      1.0219281134974156,
      1.026555122912337,
      1.0313679050990503,
      1.036336128693584,
      1.041433415126132,
      1.046636680791978,
      1.0519258885301481,
      1.0572836357300184,
      1.0626947988097337,
      1.0681462262276484,
      1.0736264730715595,
      1.0791255718444868,
      1.0846348351179191,
      1.0901466839696716,
      1.0956545008670835,
      1.1011525024094153,
      1.1066357368031627,
      1.112100159700884,
      1.1175422664085684,
      1.1229589583780804,
      1.1283474925500936,
      1.1337054369286323,
      1.1390306326844568,
      1.1443211599975383,
      1.1495753099975932,
      1.1547915593247502,
      1.1599685485709235,
      1.165105063582546,
      1.1702000186117416,
      1.1752524427000381,
      1.1802614663604452,
      1.1852263114258486,
      1.1901462819012085,
      1.1950207552373282,
      1.1998491755307163,
      1.2046311094191755,
      1.2093662279640642,
      1.2140542326305725,
      1.2186948531013937,
      1.2232878463542693,
      1.227832995424113,
      1.232330108302561,
      1.236779017581092,
      1.2411795791051854,
      1.245531671109878,
      1.2498351937318637,
      1.2540900684372396,
      1.2582962374124855,
      1.2624536628653114,
      1.2665623266901715,
      1.2706222294276506,
      1.2746333903462412,
      1.2785958467117784,
      1.2825096535134237,
      1.2863748828308879,
      1.2901916234509296,
      1.293959980324184,
      1.297680074318525,
      1.3013520416060356,
      1.304976033190293,
      1.3085522147253648,
      1.3120807660146359,
      1.3155618807477258,
      1.318995765762047,
      1.3223826408450388,
      1.3257227382621781,
      1.329016302467409,
      1.3322635893339942,
      1.3354648662269974,
      1.3386204113909241,
      1.3417305135673647,
      1.3447954713839392,
      1.3478155931241895,
      1.3507911963693326,
      1.3537226077148015,
      1.3566101622559361,
      1.3594542030459955,
      1.3622550899861283,
      1.3650132549846963,
      1.367729163847823,
      1.370403273683953,
      1.3730360343141426,
      1.3756278891809783,
      1.3781792771317483,
      1.38069063289079,
      1.383162387900832,
      1.3855949711785838,
      1.3879888096774031,
      1.3903443287682105,
      1.392661952585458,
      1.3949421169545946,
      1.3971853036122457,
      1.3993919962924057,
      1.4015626682713993,
      1.4036977837601314,
      1.4057977991584458,
      1.4078631637662424,
      1.4098943208685708,
      1.4118917081277944,
      1.4138557581487814,
      1.4157868994215306,
      1.4176855565235382,
      1.4195521501930184,
      1.4213870979351009,
      1.4231908143479248,
      1.4249637108643163,
      1.4267061961811411,
      1.4284186765124334,
      1.4301015553108842,
      1.431755233831476,
      1.433380110808705,
      1.4349765825701295,
      1.4365450429765596,
      1.438085883392657,
      1.4395994927903084,
      1.4410862579343908,
      1.4425465627357907,
      1.4439807887048919,
      1.4453893146749135,
      1.4467725171180188,
      1.4481307694777823,
      1.4494644427565118,
      1.4507739049162596,
      1.4520595209250087,
      1.4533216531940647,
      1.4545606609831716,
      1.4557769004517438,
      1.4569707246956978,
      1.458142483617487,
      1.4592925238331547,
      1.4604211888711396,
      1.4615288190528157,
      1.4626157512585254,
      1.4636823188337498,
      1.464728852042652,
      1.4657556773907792,
      1.4667631179026914,
      1.4677514931340159,
      1.468721119274377,
      1.46967230888372,
      1.4706053709235083,
      1.4715206107270102,
      1.4724183300106792,
      1.4732988269269174,
      1.4741623957515826,
      1.4750093271728326,
      1.4758399083169713,
      1.4766544226132796,
      1.4774531497014267,
      1.478236365585241,
      1.4790043427787303,
      1.4797573499359444,
      1.4804956520838781,
      1.4812195103904826,
      1.4819291826378476,
      1.4826249230783688,
      1.4833069822336449,
      1.4839756069413275,
      1.4846310405484717,
      1.485273522641179,
      1.4859032895314144,
      1.4865205738227711,
      1.4871256046320513,
      1.48771860734781,
      1.4882998042484181,
      1.488869414098065,
      1.4894276521957197,
      1.4899747305211846,
      1.4905108578258326,
      1.491036239363009,
      1.4915510769701579,
      1.4920555695538036,
      1.492549912400796,
      1.4930342978080515,
      1.493508915047451,
      1.493973950072869,
      1.4944295855287946,
      1.4948760011625126,
      1.4953133738261117,
      1.4957418773736653,
      1.496161682758796,
      1.4965729576206472,
      1.496975866935019,
      1.4973705731032874,
      1.497757235377492,
      1.498136010198255,
      1.4985070511741256,
      1.498870509567095,
      1.499226534012895,
      1.499575270137253,
      1.4999168611362983,
      1.5002514474392756,
      1.5005791672846807,
      1.5009001561754667,
      1.5012145472477774,
      1.5015224712309139,
      1.5018240563037477,
      1.5021194285087958,
      1.5024087115543183,
      1.502692026716431,
      1.5029694930447777,
      1.5032412273123017,
      1.5035073442686993,
      1.5037679566890023,
      1.5040231748103923,
      1.5042731069882842,
      1.5045178596390374,
      1.5047575370287947,
      1.5049922416205745,
      1.50522207386066,
      1.505447132421611,
      1.505667513681173,
      1.505883312268188,
      1.506094620997032,
      1.5063015312588284,
      1.5065041324453536,
      1.5067025121857123,
      1.5068967564803544,
      1.5070869495289936,
      1.5072731741171386,
      1.5074555111371204,
      1.5076340400746457,
      1.5078088388842246,
      1.5079799840164212,
      1.508147550240855,
      1.5083116108754209,
      1.5084722379638578,
      1.5086295020966696,
      1.5087834723330873,
      1.5089342166309851,
      1.509081801360694,
      1.509226291479369,
      1.5093677510607835,
      1.5095062427056571,
      1.5096418276126085,
      1.5097745657502393,
      1.5099045160795923,
      1.5100317363183344,
      1.5101562830096416,
      1.5102782113871265,
      1.5103975757987778,
      1.510514429672723,
      1.510628825024797,
      1.510740812881218,
      1.5108504430904126,
      1.5109577646431027,
      1.5110628255851135,
      1.511165672828083,
      1.511266352773585,
      1.5113649106145517,
      1.5114613903992205,
      1.5115558355525034,
      1.5116482885323732,
      1.5117387907911082,
      1.511827382990509,
      1.5119141050642322,
      1.511998996229037,
      1.512082094792242,
      1.5121634381115123,
      1.5122430630121313,
      1.5123210054919327,
      1.5123973007820484,
      1.5124719834582205,
      1.5125450873484843,
      1.5126166455423005,
      1.512686690552056,
      1.5127552539148525,
      1.5128223668113159,
      1.512888059565218,
      1.5129523621601775,
      1.5130153037897525,
      1.5130769131194353,
      1.5131372180398408,
      1.5131962458265569,
      1.5132540232489635,
      1.5133105768823447,
      1.513365932606086,
      1.5134201155085811,
      1.513473150300603,
      1.5135250613724298,
      1.5135758736647333,
      1.5136256115050024,
      1.5136742987153804,
      1.5137219585677673,
      1.5137686134335744,
      1.5138142852470922,
      1.513858995358345,
      1.5139027645892489,
      1.5139456132387605,
      1.5139875612913483,
      1.5140286281167206,
      1.5140688325254534,
      1.514108192773602,
      1.5141467267706064,
      1.5141844522871324,
      1.5142213862981522,
      1.51425754554658,
      1.5142929462929935,
      1.514327604828227,
      1.514361536714325,
      1.5143947572460665,
      1.5144272815054958,
      1.5144591241112193,
      1.5144902992219018,
      1.5145208210482999,
      1.5145507032971117,
      1.5145799594285771,
      1.514608602507071,
      1.5146366453567899,
      1.514664100412188,
      1.5146909802295767,
      1.5147172966762117,
      1.514743061441746,
      1.5147682860918499,
      1.5147929821217565,
      1.5148171606029208,
      1.5148408322873255,
      1.514864007915163,
      1.514886697912172,
      1.5149089122902928,
      1.5149306610569466,
      1.514951954064728,
      1.5149728008102403,
      1.5149932104362873,
      1.5150131923443415,
      1.5150327555354852,
      1.515051908663349,
      1.515070660392143,
      1.5150890190425765,
      1.5151069929498353,
      1.5151245904146136,
      1.5151418191455117,
      1.5151586866168374,
      1.5151752002737622,
      1.5151913676866224,
      1.5152071961457256,
      1.5152226926629768,
      1.5152378641260924,
      1.5152527173510315,
      1.5152672590326601,
      1.515281495695383,
      1.515295433796389,
      1.515309079472748,
      1.5153224388988635,
      1.5153355179826682,
      1.5153483227738802,
      1.5153608590584335,
      1.515373132410663,
      1.515385148296253,
      1.5153969120734827,
      1.515408429147022,
      1.515419704613086,
      1.515430743464031,
      1.515441550640334,
      1.5154521311334253,
      1.515462489579889,
      1.515472630771139,
      1.5154825592984333,
      1.5154922795539032,
      1.5155017958841213,
      1.5155111125910619,
      1.515520233882188,
      1.515529163922271,
      1.5155379063765184,
      1.5155464653269477,
      1.5155548448663756,
      1.5155630484380909,
      1.5155710797521722,
      1.5155789426845874,
      1.5155866405150709,
      1.5155941770468808,
      1.5156015555394715,
      1.515608779065274,
      1.5156158509681528,
      1.5156227744572175,
      1.5156295524549532,
      1.5156361882590812,
      1.5156426848820646,
      1.5156490451535038,
      1.5156552717716028,
      1.5156613677106938,
      1.515667335814964,
      1.5156731787482303,
      1.5156788988927785,
      1.515684499062003,
      1.5156899816871878,
      1.515695349174083,
      1.5157006039543033,
      1.5157057483841345,
      1.515710784795911,
      1.5157157154476637,
      1.5157205426253355,
      1.5157252684398372,
      1.5157298950309617,
      1.5157344244152438,
      1.5157388587407454,
      1.5157431998805997,
      1.5157474497894585,
      1.5157516105039437,
      1.5157556839396218
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.36034872272006,
      11.183660867814988,
      10.99550603950723,
      10.79706269911491,
      10.589654854996194,
      10.374638012492893,
      10.153409652455775,
      9.927447251166297,
      9.698303961201594,
      9.467491778610068,
      9.236391908828741,
      9.00628376049822,
      8.778317169039946,
      8.553473969448136,
      8.33254105338309,
      8.116098507914685,
      7.904516723906785,
      7.697964659223836,
      7.496427403642469,
      7.299730438588333,
      7.107567829155763,
      6.919531096760701,
      6.735134911285864,
      6.553846880452767,
      6.375114727269936,
      6.198389518248797,
      6.023146423628359,
      5.848895404956658,
      5.675192011973269,
      5.501650357828055,
      5.327960251934772,
      5.153906947841655,
      4.979381201867042,
      4.804388845368097,
      4.629044372780752,
      4.453537279174363,
      4.278141193887142,
      4.1032434921836645,
      3.9293347737788666,
      3.7569803324281628,
      3.5867820009256763,
      3.419365932478385,
      3.255367593259147,
      3.095409876671443,
      2.940087156094729,
      2.7899478947311858,
      2.6454758481872247,
      2.5070798689994103,
      2.3750880341474816,
      2.249746668834813,
      2.131222604957931,
      2.0196079695841602,
      1.9149269205549022,
      1.8171434456543916,
      1.7261694700973664,
      1.641873859223426,
      1.5640917642093646,
      1.492634268861327,
      1.4272952390365554,
      1.3678556064119256,
      1.314091958181142,
      1.265784442880114,
      1.222718365538,
      1.1846812829973146,
      1.1514641102898469,
      1.1228443861259862,
      1.098541107955619,
      1.0781813258282542,
      1.0613371228645496,
      1.0475426402487378,
      1.0363520035871332,
      1.027411297172179,
      1.0204368119892833,
      1.015175028850828,
      1.0113987889820737,
      1.0089107099929746,
      1.007539561101698,
      1.0071379498517379,
      1.007577793368183,
      1.0087472687266434,
      1.0105487549743808,
      1.0128970263654606,
      1.0157176723010386,
      1.0189457165108142,
      1.0225243622765294,
      1.0264025692372887,
      1.0305347473941049,
      1.0348813986888494,
      1.0394083688346274,
      1.0440860053946488,
      1.0488883761114318,
      1.0537930069950447,
      1.0587804134563927,
      1.0638336947636584,
      1.0689381835329816,
      1.0740811433686972,
      1.0792515081320853,
      1.0844396565656154,
      1.0896372179657732,
      1.094836904313274,
      1.1000323657086286,
      1.1052180652017642,
      1.1103891706268842,
      1.1155414613509989,
      1.1206714140142517,
      1.1257761618592528,
      1.130853197119152,
      1.1359003038764919,
      1.1409155221000233,
      1.1458971157703224,
      1.1508435460860482,
      1.1557534476008249,
      1.1606256076405612,
      1.165458948749388,
      1.1702525127983712,
      1.1750054477376608,
      1.179716996196913,
      1.1843864848892391,
      1.1890133160143028,
      1.1935969594190146,
      1.1981369461072535,
      1.2026328625742662,
      1.2070843450355806,
      1.2114910755721393,
      1.2158527780953943,
      1.2201692147330567,
      1.2244401828807752,
      1.2286655125560133,
      1.232845064403228,
      1.2369787271749277,
      1.24106641595394,
      1.245108070908513,
      1.2491036554064059,
      1.2530531550602702,
      1.2569565765310284,
      1.2608139460351127,
      1.2646253085690908,
      1.2683907272390536,
      1.2721102824377164,
      1.2757840709690598,
      1.279412205270343,
      1.2829948129840045,
      1.2865320361147146,
      1.2900240417230067,
      1.2934710302309806,
      1.29687321214422,
      1.3002308039854764,
      1.303544028934982,
      1.3068131170917197,
      1.3100383053556275,
      1.3132198377952642,
      1.3163579659414244,
      1.3194529484473743,
      1.3225050513358168,
      1.325514548018963,
      1.3284817187353923,
      1.3314068508272938,
      1.3342902388920188,
      1.337132183841104,
      1.3399329931553092,
      1.3426929806060628,
      1.3454124665115772,
      1.3480917765437082,
      1.350731242340568,
      1.3533312007712641,
      1.3558919941415388,
      1.3584139695601538,
      1.3608974835694507,
      1.3633429520768099,
      1.3657508259376014,
      1.3681215458317268,
      1.3704555437459078,
      1.3727532445195505,
      1.37501506684626,
      1.3772414239869524,
      1.3794327247047977,
      1.3815893736091156,
      1.3837117722322037,
      1.385800319161559,
      1.3878554104492162,
      1.389877439892063,
      1.3918667993364422,
      1.3938238789062392,
      1.3957490670532209,
      1.3976427505829054,
      1.3995053151141579,
      1.4013371448035579,
      1.4031386224028592,
      1.4049101294467192,
      1.4066520460116128,
      1.408364750809395,
      1.4100486212598682,
      1.4117040332376074,
      1.4133313610530043,
      1.4149309775152248,
      1.416503253619804,
      1.4180485586241522,
      1.4195672604096228,
      1.4210597247574956,
      1.4225263153190992,
      1.4239674010454952,
      1.4253833565851057,
      1.426774553004137,
      1.428141356984281,
      1.4294841315288285,
      1.430803235685638,
      1.43209902445718,
      1.4333718492542193,
      1.43462205782533,
      1.4358499945276326,
      1.4370559998708423,
      1.438240415692918,
      1.439403599887797,
      1.4405459091852526,
      1.441667692244982,
      1.442769290466442,
      1.4438510384280312,
      1.4449132644648537,
      1.4459562909280508,
      1.4469804342278538,
      1.44798600567811,
      1.44897331136264,
      1.4499426521937997,
      1.4508943243668022,
      1.451828619956198,
      1.4527458263833206,
      1.453646226687688,
      1.4545301000940156,
      1.4553977215529585,
      1.456249362188473,
      1.4570852893296637,
      1.457905766280078,
      1.4587110528418274,
      1.45950140522162,
      1.4602770759801025,
      1.4610383139230207,
      1.461785364646434,
      1.462518470261247,
      1.463237869263726,
      1.4639437968063285,
      1.4646364847078959,
      1.4653161616103956,
      1.465983052671922,
      1.4666373800677803,
      1.4672793624686897,
      1.467909215530841,
      1.4685271516685783,
      1.4691333799745077,
      1.4697281069993644,
      1.4703115359503556,
      1.4708838669020776,
      1.4714452968502247,
      1.471996019760884,
      1.4725362266663895,
      1.473066106062213,
      1.473585843282628,
      1.4740956206353886,
      1.4745956177868653,
      1.4750860114822617,
      1.4755669756691736,
      1.4760386817193702,
      1.4765012980877457,
      1.4769549904765953,
      1.4773999219457643,
      1.477836252867178,
      1.4782641411815305,
      1.4786837423468895,
      1.47909520913195,
      1.4794986916607997,
      1.479894337607602,
      1.480282292286958,
      1.4806626984873998,
      1.4810356968620382,
      1.4814014254012915,
      1.481760019920521,
      1.4821116138334154,
      1.4824563382283336,
      1.4827943221459956,
      1.4831256923465579,
      1.483450573278156,
      1.4837690873995109,
      1.4840813548394935,
      1.4843874935126011,
      1.4846876196903849,
      1.4849818475032217,
      1.4852702889489253,
      1.4855530542050353,
      1.4858302512273749,
      1.4861019860591511,
      1.486368363240309,
      1.4866294849948538,
      1.4868854519933876,
      1.487136363046267,
      1.4873823152532262,
      1.4876234039991196,
      1.4878597227450001,
      1.4880913634791957,
      1.4883184164042569,
      1.4885409699280125,
      1.488759110958589,
      1.488972924791518,
      1.4891824951483743,
      1.4893879042144107,
      1.4895892327769733,
      1.4897865600577556,
      1.4899799637476034,
      1.490169520447313,
      1.4903553050394913,
      1.4905373909241983,
      1.4907158503045765,
      1.4908907540139649,
      1.4910621714439436,
      1.4912301706241895,
      1.4913948183524313,
      1.4915561802728383,
      1.4917143211572295,
      1.4918693039649225,
      1.4920211904785938,
      1.4921700415833974,
      1.492315916884337,
      1.4924588750351235,
      1.492598973456053,
      1.4927362684073844,
      1.4928708151129988,
      1.493002667781781,
      1.493131879526729,
      1.4932585024870586,
      1.4933825878989242,
      1.4935041857078721,
      1.4936233451472165,
      1.493740114349523,
      1.493854540873239,
      1.493966671262512,
      1.4940765509117853,
      1.4941842242350496,
      1.4942897351398643,
      1.4943931262803496,
      1.4944944399373477,
      1.494593717321532,
      1.4946909989950927,
      1.4947863247845057,
      1.4948797335912012,
      1.4949712636087982,
      1.49506095208225,
      1.4951488354734905,
      1.4952349500337143,
      1.4953193310021264,
      1.4954020127707668,
      1.4954830296593566,
      1.4955624148080588,
      1.4956402005448923,
      1.4957164188545613,
      1.4957911010332747,
      1.4958642778519353,
      1.4959359795156675,
      1.4960062354196555,
      1.4960750744642002,
      1.4961425251661051,
      1.496208615210357,
      1.4962733715610874,
      1.496336821030007,
      1.4963989899291725,
      1.4964599038762028,
      1.4965195881078488,
      1.4965780673865325,
      1.4966353658557947,
      1.4966915072007545,
      1.4967465146049066,
      1.4968004109610968,
      1.4968532183702068,
      1.4969049588604095,
      1.4969556537329651,
      1.4970053241794277,
      1.497053990728864,
      1.4971016734578566,
      1.4971483922003452,
      1.4971941661469754,
      1.4972390145124115,
      1.4972829560327254,
      1.497326008869572,
      1.4973681908702101,
      1.4974095194713684,
      1.4974500118063903,
      1.4974896848631811,
      1.4975285551843311,
      1.497566638821347,
      1.4976039516448323,
      1.4976405091459328,
      1.4976763266445752,
      1.497711418938112,
      1.4977458007128397,
      1.4977794863449772,
      1.4978124898542606,
      1.497844824908203,
      1.4978765050297338,
      1.497907543652186,
      1.4979379537164481,
      1.4979677478783755,
      1.4979969385126035,
      1.4980255377671712,
      1.498053557618072,
      1.4980810097711175,
      1.498107905614594,
      1.4981342564770443,
      1.4981600734271945,
      1.498185367073822,
      1.4982101481284436,
      1.498234427001597,
      1.4982582138568223,
      1.4982815185119747,
      1.4983043507473293,
      1.498326720003301,
      1.4983486357393239,
      1.4983701074875115,
      1.4983911438890507,
      1.4984117537140715,
      1.4984319455081763,
      1.498451727645848,
      1.498471108536363,
      1.4984900963719583,
      1.4985086989776557,
      1.4985269243730681,
      1.4985447801643887,
      1.4985622738009428,
      1.4985794125773875,
      1.4985962036867118,
      1.4986126540188882,
      1.4986287704680556,
      1.498644559883694,
      1.498660028920016,
      1.4986751841396555,
      1.4986900318629874,
      1.4987045782716835,
      1.4987188295631095,
      1.4987327917995525,
      1.4987464708082407,
      1.4987598722338995,
      1.4987730016421406,
      1.4987858645210317,
      1.4987984663335978,
      1.498810812417657,
      1.4988229080382374,
      1.4988347579821553,
      1.4988463674241446,
      1.498857741267073,
      1.4988688842959625,
      1.4988798011285187,
      1.4988904964707745,
      1.4989009745589366,
      1.498911239821853,
      1.4989212967296854,
      1.4989311492865498,
      1.4989408017946413,
      1.4989502583976768,
      1.4989595231329689,
      1.498968599729121,
      1.4989774920648806,
      1.4989862038650434,
      1.498994738650694,
      1.4990031000962267,
      1.4990112917760945,
      1.4990193172167205,
      1.499027179592272,
      1.4990348822342519,
      1.4990424283781112,
      1.4990498212658998,
      1.499057064096341,
      1.4990641597714087,
      1.4990711112023554,
      1.4990779215139975,
      1.4990845936386747,
      1.4990911303171144,
      1.4990975342009154,
      1.4991038079550587,
      1.4991099544620952,
      1.4991159762634751,
      1.4991218757637255,
      1.4991276554346031,
      1.4991333177140393,
      1.499138865006855,
      1.499144299888909,
      1.4991496243956992,
      1.4991548408368036,
      1.4991599512878793,
      1.4991649578455555,
      1.4991698629332517
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360337052798185,
      11.18360923324955,
      10.995394298290838,
      10.796882057851821,
      10.589405518746334,
      10.374326878189107,
      10.153047604857797,
      9.927049810714308,
      9.697893229051568,
      9.467087323172022,
      9.236010027444008,
      9.005940923918173,
      8.778029523503761,
      8.55325673512688,
      8.332408344222289,
      8.116063210210983,
      7.904590505891074,
      7.698158045741183,
      7.496749943021323,
      7.300190929398114,
      7.108174577152664,
      6.920292164671484,
      6.736058376373331,
      6.5549410877212395,
      6.376388437055318,
      6.199851997346106,
      6.024807504131228,
      5.850765816927339,
      5.67728330497504,
      5.503974407404087,
      5.3305287600372,
      5.156731126790803,
      4.982471679158607,
      4.807755139426279,
      4.632695453021791,
      4.457482190398456,
      4.282386129076269,
      4.107791246480424,
      3.934184750559278,
      3.762129875728589,
      3.592227737841309,
      3.4251025855020796,
      3.2613875336867912,
      3.101703576686363,
      2.9466436586292004,
      2.7967555484320545,
      2.652522973645789,
      2.5143549929079416,
      2.3825803148886178,
      2.257446295671552,
      2.1391210638576,
      2.0276982212503247,
      1.9232034945684218,
      1.825602446160592,
      1.7348085085750125,
      1.6506919943998728,
      1.5730896651366846,
      1.5018143482751418,
      1.436660983606279,
      1.3774114203144074,
      1.3238437995743955,
      1.2757401567413802,
      1.2328845092364347,
      1.1950631186989469,
      1.162067104410654,
      1.1336691999177777,
      1.109569268311293,
      1.0893795529028696,
      1.0726621717550004,
      1.0589416657815254,
      1.047778097975915,
      1.0388286461387728,
      1.0318140871881165,
      1.026482381478174,
      1.0226091930400434,
      1.019999363823201,
      1.0184829842169834,
      1.0179149922024875,
      1.0181694737859612,
      1.019136572150356,
      1.0207204469126352,
      1.0228374842859773,
      1.0254147329423458,
      1.0283885377002018,
      1.0317033470912689,
      1.035309947469005,
      1.0391639820151255,
      1.043226868242704,
      1.0474651494428833,
      1.0518496021821717,
      1.05635492872594,
      1.0609592309973963,
      1.0656435464935134,
      1.0703914481949015,
      1.0751886993607918,
      1.0800229552873166,
      1.084883506703116,
      1.0897610585017437,
      1.094647538456696,
      1.099535931855057,
      1.1044201395216793,
      1.1092948554900486,
      1.1141554606216473,
      1.118997931261492,
      1.1238187601710692,
      1.128614888637162,
      1.1333837625216936,
      1.1381233567790245,
      1.1428319205287532,
      1.147507909386242,
      1.1521499601501424,
      1.1567568686778267,
      1.161327570846325,
      1.1658611265549006,
      1.170356705052095,
      1.1748135721139366,
      1.179231079907989,
      1.1836086573317934,
      1.187945801414204,
      1.1922420706751216,
      1.196497078952864,
      1.200710489786253,
      1.2048820118978063,
      1.209011394699133,
      1.213098425079627,
      1.217142924300557,
      1.2211447447324757,
      1.2251037677511931,
      1.229019901667519,
      1.232893079685511,
      1.2367232581387038,
      1.2405104151524593,
      1.2442545490673422,
      1.247955677688172,
      1.2516138369318446,
      1.2552290796844054,
      1.2588014751192111,
      1.262331108066889,
      1.2658180777739487,
      1.2692624976244742,
      1.2726644944499241,
      1.276024208035953,
      1.2793417903160116,
      1.2826174051148207,
      1.285851227423352,
      1.289043443119531,
      1.2921942483706867,
      1.2953038495304636,
      1.2983724624614486,
      1.3014003118418656,
      1.3043876313707214,
      1.307334663396436,
      1.310241658222238,
      1.3131088737490875,
      1.315936575506025,
      1.3187250357963052,
      1.3214745339931986,
      1.32418535564537,
      1.3268577925277847,
      1.329492142315276,
      1.3320887081329462,
      1.3346477984917295,
      1.3371697266934053,
      1.339654810518607,
      1.3421033725535596,
      1.3445157391723266,
      1.3468922406662174,
      1.3492332111981111,
      1.3515389881241069,
      1.3538099118011304,
      1.3560463255246187,
      1.3582485753928233,
      1.3604170207792472,
      1.3625520762298913,
      1.3646541698542036,
      1.3667237194563868,
      1.3687611336078316,
      1.3707668127890023,
      1.372741150958698,
      1.3746845358740496,
      1.3765973497900839,
      1.3784799702345785,
      1.3803327705035382,
      1.382156120081556,
      1.3839503851915795,
      1.3857159287626664,
      1.3874531107319428,
      1.3891622885797246,
      1.3908438170811128,
      1.392498048597204,
      1.3941253332450654,
      1.3957260190487348,
      1.3973004516649934,
      1.3988489745995736,
      1.4003719294057242,
      1.401869655509759,
      1.4033424901721638,
      1.4047907683815026,
      1.4062148229864322,
      1.4076149847610475,
      1.4089915823025043,
      1.4103449419133773,
      1.4116753877236683,
      1.4129832413915813,
      1.4142688224004734,
      1.4155324474264568,
      1.4167744310657506,
      1.4179950852264698,
      1.4191947193721028,
      1.420373640396417,
      1.4215321526385565,
      1.4226705573774108,
      1.4237891537891894,
      1.424888238316819,
      1.4259681044350805,
      1.4270290429132986,
      1.428071341456837,
      1.4290952851010024,
      1.430101156187841,
      1.4310892338244128,
      1.4320597943483977,
      1.43301311112292,
      1.4339494547290788,
      1.434869092640743,
      1.4357722892973972,
      1.436659306320886,
      1.4375304022660522,
      1.4383858328209043,
      1.43922585049015,
      1.4400507046269433,
      1.4408606416095595,
      1.4416559050106204,
      1.4424367354031817,
      1.4432033702106368,
      1.4439560437531842,
      1.4446949875927249,
      1.4454204300066626,
      1.4461325963708607,
      1.4468317092311953,
      1.4475179880640174,
      1.4481916493868463,
      1.4488529066597584,
      1.4495019704356904,
      1.4501390482508478,
      1.450764345018592,
      1.451378062858795,
      1.4519804006679402,
      1.4525715545489613,
      1.4531517179820075,
      1.4537210814820904,
      1.4542798327100437,
      1.4548281566299577,
      1.4553662356115404,
      1.4558942490706588,
      1.4564123739196992,
      1.4569207843528218,
      1.4574196516782927,
      1.457909144859186,
      1.4583894302368068,
      1.4588606712506003,
      1.4593230290192527,
      1.4597766620539445,
      1.460221726527927,
      1.4606583759833924,
      1.4610867616966947,
      1.4615070325319632,
      1.4619193348427568,
      1.462323812625206,
      1.4627206076176238,
      1.4631098591940446,
      1.4634917043569529,
      1.4638662778800609,
      1.464233712550432,
      1.464594138645363,
      1.4649476846276943,
      1.465294476516476,
      1.4656346382218495,
      1.4659682915217436,
      1.4662955562908886,
      1.46661655037182,
      1.4669313897491623,
      1.4672401881117483,
      1.4675430573283192,
      1.4678401075145997,
      1.4681314468443996,
      1.4684171814099192,
      1.4686974154872041,
      1.4689722516983539,
      1.4692417909178952,
      1.4695061321268026,
      1.4697653727228386,
      1.4700196082699994,
      1.4702689327551834,
      1.4705134383857579,
      1.470753215640157,
      1.4709883535205703,
      1.4712189393975896,
      1.471445059158772,
      1.4716667973561013,
      1.4718842367420097,
      1.4720974585162832,
      1.4723065425718567,
      1.4725115674344522,
      1.472712609997752,
      1.4729097456644398,
      1.4731030489948864,
      1.4732925927782294,
      1.4734784487301347,
      1.4736606872741598,
      1.473839377271397,
      1.4740145862578045,
      1.4741863809859195,
      1.4743548267959963,
      1.474519987596709,
      1.4746819265571331,
      1.4748407050686934,
      1.4749963837917162,
      1.4751490222262076,
      1.4752986787398734,
      1.4754454104936512,
      1.4755892737226033,
      1.475730324016265,
      1.4758686155812106,
      1.4760042013167174,
      1.4761371333984101,
      1.4762674629967227,
      1.4763952402999947,
      1.476520514536985,
      1.4766433341006124,
      1.4767637465695211,
      1.4768817986782363,
      1.4769975359308551,
      1.4771110029262409,
      1.4772222437335698,
      1.4773313015046008,
      1.4774382184415051,
      1.4775430362220225,
      1.4776457957121811,
      1.4777465367803315,
      1.4778452986702195,
      1.477942119763344,
      1.4780370378495273,
      1.4781300898885428,
      1.4782213121273766,
      1.4783107402171234,
      1.478398409278766,
      1.478484353307336,
      1.4785686061016639,
      1.4786512005661585,
      1.4787321689787152,
      1.4788115431056852,
      1.4788893541639945,
      1.47896563273216,
      1.479040408660985,
      1.4791137112891244,
      1.4791855695057845,
      1.4792560115589106,
      1.4793250651174272,
      1.4793927573840455,
      1.4794591148009097,
      1.4795241636196867,
      1.4795879296067953,
      1.4796504377993034,
      1.4797117126165187,
      1.479771778225713,
      1.4798306586024974,
      1.4798883768789586,
      1.4799449559122493,
      1.4800004181917668,
      1.4800547855935968,
      1.4801080794907397,
      1.480160321015749,
      1.4802115307636832,
      1.4802617289526847,
      1.4803109355334974,
      1.4803591699936522,
      1.4804064515175945,
      1.4804527985870481,
      1.4804982294967808,
      1.4805427624632947,
      1.4805864150722388,
      1.4806292046920255,
      1.4806711482769714,
      1.4807122626280032,
      1.480752564093841,
      1.4807920684754605,
      1.4808307915406596,
      1.4808687488265313,
      1.4809059555435815,
      1.4809424261745041,
      1.4809781752934639,
      1.4810132170119823,
      1.481047565442019,
      1.4810812343451674,
      1.4811142367817254,
      1.4811465859802413,
      1.4811782947829097,
      1.481209375955539,
      1.4812398417344537,
      1.4812697044414436,
      1.4812989758778585,
      1.4813276678885403,
      1.4813557919083373,
      1.4813833590172123,
      1.4814103801986398,
      1.4814368661910189,
      1.4814628275424797,
      1.4814882746147324,
      1.4815132176377215,
      1.4815376665607696,
      1.4815616305475803,
      1.4815851171657168,
      1.4816081338136091,
      1.481630688028472,
      1.481652787183837,
      1.4816744389500731,
      1.4816956510936934,
      1.4817164312767341,
      1.4817367873647387,
      1.4817567267683405,
      1.4817762575650018,
      1.4817953873828762,
      1.4818141237596494,
      1.4818324739926436,
      1.4818504454466357,
      1.481868045658249,
      1.481885281880869,
      1.4819021610363827,
      1.4819186904297732,
      1.481934876887019,
      1.4819507273170756,
      1.481966248510869,
      1.4819814470420032,
      1.4819963293199798,
      1.482010901694181,
      1.4820251705579044,
      1.4820391421471728,
      1.4820528224412048,
      1.482066217418878,
      1.4820793330099802,
      1.4820921750973421,
      1.4821047493154471,
      1.4821170609507015,
      1.48212911529935,
      1.4821409180254599,
      1.4821524741964436,
      1.4821637888443906,
      1.4821748671712773,
      1.482185714143913,
      1.4821963345465698,
      1.4822067329317936,
      1.4822169138763501,
      1.4822268819828077,
      1.4822366417794515,
      1.4822461975693122,
      1.4822555533299178,
      1.4822647133250866,
      1.4822736815468978,
      1.4822824621749124,
      1.4822910591198368,
      1.4822994762283725,
      1.4823077172337078,
      1.4823157856550682,
      1.4823236851550312,
      1.4823314195916837,
      1.4823389921043921,
      1.4823464060305018,
      1.4823536647029953,
      1.482360771451713,
      1.4823677292484467,
      1.482374541572675,
      1.4823812114972124,
      1.4823877418927862,
      1.482394135530728,
      1.4824003950839695,
      1.482406523433147,
      1.4824125236167491,
      1.4824183982218018,
      1.4824241498425734,
      1.4824297811832077,
      1.4824352946517263,
      1.4824406926151932,
      1.482445977604045,
      1.4824511522112103,
      1.4824562184826324,
      1.4824611785283839
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360326149783049,
      11.183561224314666,
      10.99529087520899,
      10.796716218432593,
      10.589179062504114,
      10.374048010989794,
      10.15272783464653,
      9.926705734327196,
      9.697547859826907,
      9.466761001169486,
      9.23571967428357,
      9.005703496002987,
      8.777861542616565,
      8.553173707639262,
      8.33242462923889,
      8.116191927664472,
      7.904843573887166,
      7.69854627926181,
      7.4972832392369355,
      7.300878507583227,
      7.109025242475472,
      6.92131456511075,
      6.737261266149784,
      6.556333548124889,
      6.377980005562991,
      6.201652731702239,
      6.026827976744947,
      5.853017498701596,
      5.679778510752028,
      5.506725708269499,
      5.333548384595652,
      5.160030599853047,
      4.986061670217071,
      4.811644904838622,
      4.636892926672911,
      4.461995190049728,
      4.2872197370590905,
      4.1129467137571405,
      3.9396595485517922,
      3.7679188564783224,
      3.598325052343347,
      3.4315002955795375,
      3.2680752461782587,
      3.1086689880238394,
      2.9538730398934314,
      2.804234626058123,
      2.660237545122222,
      2.5222912763477408,
      2.3907254322296403,
      2.265788676189449,
      2.1476507176768838,
      2.0364069120542694,
      1.9320848185457082,
      1.8346518170243626,
      1.7440230738509095,
      1.6600705457585716,
      1.5826327744503346,
      1.5115244800430725,
      1.4465417787303432,
      1.3874678596709002,
      1.334082483522041,
      1.2861685366362687,
      1.2435083305779462,
      1.2058880200871887,
      1.1730980219386518,
      1.14490572769622,
      1.1209922350467176,
      1.1009554516002837,
      1.0843463420010866,
      1.0706819701096582,
      1.0595305314824204,
      1.0505588374855568,
      1.0434911177677808,
      1.038077335404846,
      1.0340959999013997,
      1.0313537887162836,
      1.0296822568861308,
      1.0289387799111278,
      1.028999563904843,
      1.0297566725325187,
      1.031116003147538,
      1.032995513916415,
      1.0353236752753991,
      1.0380381181468725,
      1.0410844546356097,
      1.0444150713858187,
      1.0479872800137282,
      1.0517632123797276,
      1.0557098300628944,
      1.0597985656325182,
      1.064004725161222,
      1.068306957049915,
      1.0726867942338254,
      1.0771282587854363,
      1.0816175215162285,
      1.0861426087352462,
      1.0906931491361096,
      1.0952601556027626,
      1.099835836953768,
      1.1044134360377145,
      1.108987090141689,
      1.1135517099817762,
      1.118102875724841,
      1.1226367477154897,
      1.1271499890575392,
      1.131639698294942,
      1.136103352140384,
      1.140538756034932,
      1.1449440176337,
      1.149317662649213,
      1.1536585195612492,
      1.1579655585526043,
      1.1622378749098883,
      1.1664746735906422,
      1.1706752566043848,
      1.1748390121612868,
      1.178965404648147,
      1.1830539659688588,
      1.1871042888400831,
      1.191116020042955,
      1.1950888548873575,
      1.1990225323676333,
      1.2029168310999339,
      1.2067715654221083,
      1.2105865823589856,
      1.2143617586828133,
      1.2180969984694958,
      1.2217922308390072,
      1.2254474082823748,
      1.2290625045531869,
      1.2326375133908265,
      1.2361724472581395,
      1.2396673360397756,
      1.243122226104707,
      1.2465371793238136,
      1.2499122719891562,
      1.2532475942937626,
      1.256543249251235,
      1.2597993523249296,
      1.2630160310018916,
      1.2661934240053987,
      1.2693316808059631,
      1.2724309608187645,
      1.275491433557898,
      1.2785132779669557,
      1.2814966817381321,
      1.2844418413312988,
      1.2873489614713545,
      1.2902182544796013,
      1.2930499404042843,
      1.2958442467293354,
      1.2986014076101395,
      1.3013216638557927,
      1.304005262640974,
      1.3066524569970412,
      1.3092635059472864,
      1.3118386736581216,
      1.3143782296911324,
      1.3168824484232367,
      1.3193516089569572,
      1.3217859950120494,
      1.3241858942389257,
      1.326551598428521,
      1.3288834031944534,
      1.331181607381804,
      1.3334465129651794,
      1.3356784252323242,
      1.3378776522366782,
      1.340044504535631,
      1.342179295163743,
      1.3442823392306775,
      1.3463539537540035,
      1.348394457828966,
      1.3504041720671027,
      1.3523834185245491,
      1.3543325203571115,
      1.3562518018633154,
      1.3581415881529215,
      1.3600022242269219,
      1.361834099958645,
      1.3636376045865208,
      1.3654131172542237,
      1.3671610084584045,
      1.3688816409109024,
      1.3705753706817787,
      1.372242547454509,
      1.3738835157255012,
      1.3754986148637451,
      1.3770881797096521,
      1.3786525410530401,
      1.380192025838129,
      1.3817069576049605,
      1.383197656761122,
      1.3846644404807036,
      1.3861076230448102,
      1.3875275158611233,
      1.3889244277734552,
      1.3902986650512352,
      1.3916505315172123,
      1.3929803284068354,
      1.3942883544172786,
      1.3955749062516156,
      1.3968402779804214,
      1.3980847611533782,
      1.3993086451526022,
      1.4005122169236601,
      1.401695761101524,
      1.4028595598197542,
      1.404003892966133,
      1.4051290378676946,
      1.4062352694225466,
      1.4073228601703713,
      1.4083920799964265,
      1.4094431965374963,
      1.4104764749676268,
      1.4114921779268357,
      1.4124905654403548,
      1.4134718949811234,
      1.4144364213197809,
      1.415384396772696,
      1.4163160710344922,
      1.417231691358202,
      1.4181315022186156,
      1.4190157456795536,
      1.4198846610922127,
      1.4207384850401727,
      1.4215774514801385,
      1.422401791824614,
      1.4232117347631814,
      1.4240075060258781,
      1.4247893290042473,
      1.4255574245522071,
      1.4263120106786809,
      1.4270533028950483,
      1.4277815138953396,
      1.4284968536880798,
      1.4291995298239022,
      1.4298897470072371,
      1.4305677073635015,
      1.431233610548315,
      1.431887653597107,
      1.432530031074737,
      1.4331609345080916,
      1.4337805531359689,
      1.4343890736369345,
      1.4349866799543751,
      1.4355735537780672,
      1.436149874156701,
      1.4367158177164978,
      1.437271558570341,
      1.4378172684771995,
      1.4383531166415309,
      1.4388792698138402,
      1.4393958922857684,
      1.439903146034042,
      1.4404011906064744,
      1.440890183157084,
      1.4413702788337963,
      1.4418416304508297,
      1.442304388310408,
      1.4427587003264304,
      1.4432047122976146,
      1.4436425677706515,
      1.4440724083583467,
      1.4444943735971725,
      1.44490860039518,
      1.4453152236977838,
      1.4457143763370874,
      1.4461061893364557,
      1.4464907913989116,
      1.446868309003307,
      1.447238866955796,
      1.447602588023669,
      1.4479595930246774,
      1.4483100009141305,
      1.448653928412097,
      1.4489914905440882,
      1.4493228005692647,
      1.4496479699067997,
      1.4499671081112235,
      1.450280322693114,
      1.4505877198537156,
      1.4508894037426332,
      1.4511854768837258,
      1.4514760400397109,
      1.451761192176985,
      1.4520410307847438,
      1.452315651633171,
      1.4525851488860542,
      1.452849615110268,
      1.4531091413346293,
      1.4533638173617545,
      1.4536137312139266,
      1.453858969238766,
      1.4540996164170348,
      1.4543357563131056,
      1.4545674710751268,
      1.4547948415357135,
      1.4550179469045699,
      1.4552368651720329,
      1.45545167300286,
      1.455662445578122,
      1.4558692568937333,
      1.4560721794985132,
      1.4562712849432735,
      1.4564666433134659,
      1.4566583237272586,
      1.456846393968041,
      1.45703092057377,
      1.4572119687219798,
      1.4573896026224682,
      1.4575638855022948,
      1.4577348792848417,
      1.4579026447766872,
      1.4580672418027711,
      1.4582287292391798,
      1.4583871646890851,
      1.4585426048191847,
      1.4586951049833452,
      1.4588447200662111,
      1.458991503800359,
      1.459135508794908,
      1.4592767866650902,
      1.4594153882629544,
      1.4595513636022974,
      1.459684761630508,
      1.4598156303557444,
      1.4599440169735218,
      1.4600699681963183,
      1.4601935279378306,
      1.4603147314350828,
      1.4604336126935802,
      1.460550206234648,
      1.4606645471644755,
      1.4607766710397385,
      1.4608866137842023,
      1.4609944115036457,
      1.4611001007076523,
      1.4612037177176413,
      1.4613052985833157,
      1.4614048794058077,
      1.4615024958469627,
      1.4615981833503489,
      1.4616919773112964,
      1.46178391263633,
      1.461874024014565,
      1.4619623455783626,
      1.4620489109707344,
      1.4621337533614884,
      1.4622169053105394,
      1.4622983991903746,
      1.4623782670488534,
      1.4624565402175342,
      1.4625332491229475,
      1.4626084242674502,
      1.4626820955822837,
      1.4627542923398993,
      1.4628250432693115,
      1.462894376874757,
      1.4629623207367473,
      1.4630289023896303,
      1.4630941488256615,
      1.4631580862531186,
      1.4632207404135298,
      1.4632821367461442,
      1.4633422999417796,
      1.4634012544118935,
      1.4634590242997196,
      1.463515633135222,
      1.463571103947474,
      1.4636254594786022,
      1.463678721736248,
      1.4637309125121878,
      1.4637820534430064,
      1.4638321653077007,
      1.4638812686474034,
      1.4639293836728735,
      1.4639765299683185,
      1.464022727212268,
      1.4640679941690298,
      1.4641123494600443,
      1.464155811063492,
      1.4641983968817707,
      1.4642401248003334,
      1.4642810119325684,
      1.4643210751360551,
      1.4643603309182238,
      1.4643987953419209,
      1.4644364841342048,
      1.464473412896687,
      1.4645095971124067,
      1.4645450516439231,
      1.4645797909941765,
      1.4646138296179603,
      1.4646471818265538,
      1.464679861285253,
      1.4647118815280176,
      1.4647432556072515,
      1.4647739966081395,
      1.4648041174000037,
      1.4648336303875362,
      1.4648625477196273,
      1.4648908810402892,
      1.4649186424092713,
      1.4649458434425289,
      1.464972495520716,
      1.4649986094379686,
      1.4650241959661314,
      1.465049265910219,
      1.4650738296552597,
      1.465097897374215,
      1.4651214789305917,
      1.4651445840861836,
      1.4651672224034227,
      1.4651894035038524,
      1.4652111366652958,
      1.4652324309275344,
      1.4652532949944468,
      1.4652737373902796,
      1.4652937668702382,
      1.4653133918138037,
      1.4653326202282981,
      1.4653514599557222,
      1.4653699187778384,
      1.4653880044194572,
      1.4654057244499878,
      1.4654230864901028,
      1.4654400978080262,
      1.4654567654243487,
      1.465473096165857,
      1.4654890969227288,
      1.465504774295398,
      1.46552013474994,
      1.4655351849259781,
      1.4655499310290943,
      1.4655643789860413,
      1.4655785348541528,
      1.465592404315255,
      1.4656059930849559,
      1.4656193072202535,
      1.465632352104763,
      1.465645133163116,
      1.4656576557614514,
      1.4656699249553868,
      1.4656819461025143,
      1.465693724101638,
      1.4657052640052282,
      1.4657165706146167,
      1.4657276483802704,
      1.4657385018614353,
      1.4657491355754473,
      1.4657595539996247,
      1.4657697614714036,
      1.4657797625461908,
      1.465789561643241,
      1.4657991627931497,
      1.4658085697412675,
      1.4658177865087847,
      1.4658268167840027,
      1.4658356643308275,
      1.4658443328377244,
      1.465852825919236,
      1.4658611470666603,
      1.4658692995985878,
      1.4658772870692465,
      1.4658851128121444,
      1.4658927801449868,
      1.4659002925235902,
      1.4659076532381436,
      1.465914865160262,
      1.4659219312528176,
      1.465928854367708,
      1.4659356372470258,
      1.4659422829311544,
      1.4659487942513303,
      1.4659551738308605,
      1.4659614241879344,
      1.4659675480418188,
      1.4659735481105365,
      1.4659794269594424,
      1.4659851868496572,
      1.4659908300950562,
      1.465996358910615,
      1.4660017756676962,
      1.466007082640658,
      1.466012281956961
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360317006004566,
      11.18351988842365,
      10.995201162426516,
      10.796572920690844,
      10.588985635671717,
      10.373814152487874,
      10.152466407272012,
      9.926434496955935,
      9.6972908133858,
      9.466539058270047,
      9.235550412067392,
      9.00560438444919,
      8.777849514264172,
      8.553264605635592,
      8.332633116387935,
      8.116531426905048,
      7.905326338131683,
      7.699183518614794,
      7.498085328113911,
      7.30185523892462,
      7.110186097590642,
      6.922668987169343,
      6.738818932888291,
      6.558104545446174,
      6.379974931660287,
      6.203882730932242,
      6.029304696972542,
      5.855753496905497,
      5.682787186248091,
      5.510020632940724,
      5.337142587520388,
      5.1639361494133755,
      4.990289444566258,
      4.8162039941714605,
      4.6417906577573165,
      4.467238450005673,
      4.292812257011381,
      4.118887832613182,
      3.9459443217126795,
      3.7745389955053152,
      3.60527076923183,
      3.4387601640410463,
      3.275635249426441,
      3.116513284916154,
      2.961984356894522,
      2.8125951793685244,
      2.6688298055559776,
      2.531098426302929,
      2.3997319050731805,
      2.2749805768314415,
      2.15701610485226,
      2.045935967377705,
      1.941769904649858,
      1.8444874403895233,
      1.7540057719207167,
      1.6701987479593472,
      1.5929070217250798,
      1.521947306561832,
      1.457117058246396,
      1.3982010007586962,
      1.3449809221085558,
      1.2972392949785387,
      1.2547570622298951,
      1.2173210567686767,
      1.184719905342682,
      1.1567114215970327,
      1.132959332181306,
      1.1130504113700954,
      1.0965247885565288,
      1.0828951185554103,
      1.0717381554628878,
      1.062728216174226,
      1.0555925778882411,
      1.0500831997364877,
      1.0459813412990622,
      1.0430948586684092,
      1.0412573227551358,
      1.040328459538694,
      1.0401865288584458,
      1.0407254532701298,
      1.041852811128214,
      1.0434880801891586,
      1.0455611044969981,
      1.0480107564990286,
      1.0507837708502004,
      1.0538339218387611,
      1.0571201603076592,
      1.060605261000903,
      1.0642568561868044,
      1.068047001741199,
      1.07195156768279,
      1.075949713228612,
      1.0800234336052021,
      1.0841571701091692,
      1.088337474373326,
      1.092552718619007,
      1.0967928464165602,
      1.101049157799926,
      1.105314123826477,
      1.1095812270614889,
      1.1138448241168963,
      1.1181000269836032,
      1.1223426010081239,
      1.1265688769432884,
      1.1307756748405824,
      1.1349602385456898,
      1.1391201791243881,
      1.1432534264322685,
      1.1473581870412817,
      1.1514329077694976,
      1.1554762445807374,
      1.1594870413130742,
      1.1634644392566915,
      1.1674078098773888,
      1.171316605722674,
      1.1751903513826214,
      1.179028634834189,
      1.1828311007313765,
      1.1865974442521174,
      1.1903274054886186,
      1.1940207653355213,
      1.1976773411873944,
      1.201296983250536,
      1.204879571613466,
      1.208425013407883,
      1.2119332405121022,
      1.2154042076389067,
      1.218837890243698,
      1.222234283062615,
      1.2255933986666863,
      1.2289152659264306,
      1.2321999298599022,
      1.2354474493516079,
      1.2386578967072606,
      1.2418313572615294,
      1.244967928326025,
      1.248067718390359,
      1.2511308469821834,
      1.2541574435061267,
      1.2571476470947773,
      1.260101606097277,
      1.26301947781516,
      1.26590142787395,
      1.2687476296873197,
      1.2715582642163805,
      1.2743335201251909,
      1.277073592755337,
      1.2797786840040613,
      1.2824490021388755,
      1.285084761751737,
      1.2876861831406634,
      1.2902534919315913,
      1.2927869190418966,
      1.2952867006292683,
      1.2977530774155968,
      1.3001862948600817,
      1.3025866027068111,
      1.3049542546182171,
      1.3072895084539657,
      1.309592625618383,
      1.3118638708494648,
      1.314103512144061,
      1.31631182051419,
      1.3184890696758131,
      1.3206355363823683,
      1.322751499724724,
      1.324837241075643,
      1.3268930439668722,
      1.3289191938987956,
      1.3309159781845121,
      1.3328836855737782,
      1.3348226062166617,
      1.3367330316106656,
      1.3386152544807555,
      1.3404695682871457,
      1.3422962674290133,
      1.3440956470253702,
      1.3458680026291794,
      1.347613630179881,
      1.3493328258896393,
      1.351025886114007,
      1.3526931072072812,
      1.3543347855153454,
      1.3559512169465917,
      1.3575426971383633,
      1.3591095339176147,
      1.3606520740030636,
      1.362170664357277,
      1.3636656426230738,
      1.365137337862929,
      1.3665860718370009,
      1.3680121591937455,
      1.3694159087099573,
      1.3707976239542115,
      1.3721576030181877,
      1.3734961398089482,
      1.3748135236985302,
      1.3761100399728488,
      1.377385970520917,
      1.378641593951308,
      1.3798771854924998,
      1.3810930172366063,
      1.3822893583710847,
      1.3834664751953096,
      1.3846246316344173,
      1.385764088572546,
      1.386885104243208,
      1.3879879346601167,
      1.3890728332241433,
      1.390140050880017,
      1.391189836263248,
      1.3922224355325337,
      1.3932380922947543,
      1.3942370477751167,
      1.3952195409787589,
      1.3961858084367376,
      1.3971360843506986,
      1.3980706007293824,
      1.3989895872120492,
      1.399893271087624,
      1.4007818771535645,
      1.4016556278725876,
      1.4025147431658216,
      1.403359441012786,
      1.4041899370782671,
      1.4050064442814212,
      1.4058091733755058,
      1.4065983326564493,
      1.4073741281228105,
      1.4081367634770392,
      1.408886440171627,
      1.4096233571950576,
      1.41034771120797,
      1.411059696521197,
      1.4117595053225354,
      1.412447327237073,
      1.4131233494924982,
      1.4137877568757722,
      1.4144407324477795,
      1.4150824565239062,
      1.415713107226571,
      1.4163328602700047,
      1.4169418895544033,
      1.417540366331537,
      1.4181284594850057,
      1.4187063359586574,
      1.4192741605198789,
      1.4198320954171135,
      1.4203803007962859,
      1.4209189348082165,
      1.421448153407233,
      1.421968110349503,
      1.4224789572387584,
      1.4229808436193274,
      1.423473917014953,
      1.4239583225573653,
      1.424434203527141,
      1.4249017012301535,
      1.425360954820219,
      1.4258121015255243,
      1.4262552764653387,
      1.4266906128197432,
      1.4271182419458495,
      1.4275382928809282,
      1.4279508931651672,
      1.4283561683396178,
      1.4287542417975267,
      1.4291452353961387,
      1.4295292692524144,
      1.4299064613329535,
      1.4302769277026888,
      1.4306407831783134,
      1.4309981405554941,
      1.4313491109528889,
      1.4316938036963134,
      1.4320323264044483,
      1.4323647847671712,
      1.4326912831357983,
      1.433011924145143,
      1.4333268090967781,
      1.4336360370179955,
      1.4339397059060177,
      1.4342379119869866,
      1.4345307501431088,
      1.4348183136770265,
      1.4351006941763045,
      1.4353779819866774,
      1.4356502658700152,
      1.4359176333220998,
      1.4361801701768433,
      1.4364379608703028,
      1.436691088703297,
      1.4369396355433546,
      1.4371836816269716,
      1.4374233058692278,
      1.4376585864263949,
      1.437889597900613,
      1.4381164015226544,
      1.4383390532829123,
      1.4385576107365419,
      1.438772132687944,
      1.4389826790789766,
      1.4391893104704712,
      1.439392087676264,
      1.439591072007336,
      1.4397863250072647,
      1.4399779078821417,
      1.4401658818965244,
      1.4403503081585682,
      1.4405312475065817,
      1.4407087600898656,
      1.4408829057119046,
      1.4410537437152688,
      1.4412213327133687,
      1.441385730423334,
      1.44154699415941,
      1.4417051806136876,
      1.4418603456363221,
      1.4420125445237866,
      1.4421618313908908,
      1.4423082597628456,
      1.4424518821494563,
      1.442592750534192,
      1.4427309158453938,
      1.442866428342441,
      1.4429993374417998,
      1.4431296917459278,
      1.4432575391224662,
      1.443382926579411,
      1.4435059002414672,
      1.4436265057326423,
      1.4437447876429113,
      1.4438607898589146,
      1.443974555385533,
      1.444086126472016,
      1.4441955447376869,
      1.4443028509410256,
      1.444408085206111,
      1.4445112870450953,
      1.444612495125958,
      1.4447117472940474,
      1.444809080542264,
      1.4449045316419247,
      1.4449981364509594,
      1.4450899301371418,
      1.4451799474008353,
      1.4452682222905635,
      1.4453547880181257,
      1.4454396773836606,
      1.4455229223864896,
      1.4456045547003147,
      1.4456846052833527,
      1.4457631044459376,
      1.4458400816633414,
      1.4459155662529024,
      1.4459895869319066,
      1.4460621716803654,
      1.4461333481628238,
      1.446203143590488,
      1.446271584583108,
      1.4463386971830205,
      1.4464045068181188,
      1.4464690386204224,
      1.4465323171849729,
      1.446594366531922,
      1.4466552104243213,
      1.4467148722279668,
      1.446773374669263,
      1.4468307401522436,
      1.4468869904651294,
      1.4469421470967876,
      1.44699623140046,
      1.4470492641470616,
      1.4471012654342053,
      1.4471522553069338,
      1.4472022533611262,
      1.447251279007938,
      1.447299350618988,
      1.4473464870109987,
      1.4473927061328222,
      1.4474380255324806,
      1.4474824627221359,
      1.4475260348310157,
      1.447568758664962,
      1.4476106504607056,
      1.4476517263009683,
      1.4476920020209276,
      1.447731493165399,
      1.4477702150475036,
      1.447808182756455,
      1.4478454106564995,
      1.447881913208021,
      1.447917704517025,
      1.447952798291358,
      1.447987208203654,
      1.4480209474404324,
      1.4480540288104147,
      1.4480864652087353,
      1.4481182693690637,
      1.4481494535647665,
      1.4481800298184961,
      1.4482100098573378,
      1.4482394052712655,
      1.4482682271628053,
      1.4482964869664414,
      1.448324195538695,
      1.4483513635704415,
      1.4483780016939578,
      1.4484041201321072,
      1.4484297293138262,
      1.4484548387602119,
      1.4484794578522135,
      1.4485035962421966,
      1.4485272634517765,
      1.4485504686730675,
      1.448573220976649,
      1.448595529316052,
      1.4486174022269669,
      1.4486388484418147,
      1.4486598762836673,
      1.4486804935685644,
      1.4487007083215298,
      1.448720528577005,
      1.4487399618232466,
      1.4487590154129357,
      1.4487776968720223,
      1.4487960135981202,
      1.4488139726607152,
      1.4488315811606705,
      1.4488488458267466,
      1.4488657732224104,
      1.4488823699524118,
      1.448898642767797,
      1.4489145979078968,
      1.4489302412560132,
      1.448945578952643,
      1.4489606168897833,
      1.4489753610190217,
      1.4489898171001028,
      1.4490039905002472,
      1.449017886807162,
      1.44903151162826,
      1.4490448703899428,
      1.4490579682893603,
      1.4490708102460492,
      1.4490834013621237,
      1.4490957464669463,
      1.449107850424652,
      1.4491197180347828,
      1.4491313539328672,
      1.449142762338363,
      1.4491539475144402,
      1.4491649141769898,
      1.4491756664286999,
      1.449186208422353,
      1.4491965441593024,
      1.4492066775931471,
      1.449216612733377,
      1.4492263536473178,
      1.4492359043603376,
      1.4492452685017425,
      1.4492544497134274,
      1.4492634514482072,
      1.4492722770731656,
      1.4492809300747527,
      1.4492894137552779,
      1.4492977316414248,
      1.4493058866720654,
      1.4493138823187595,
      1.4493217217226626,
      1.449329407950414,
      1.449336944046431,
      1.4493443328309343,
      1.4493515772064434,
      1.449358679904928,
      1.449365643743393,
      1.44937247162523,
      1.4493791659820927,
      1.4493857294871773,
      1.4493921648021892,
      1.4493984743751636,
      1.4494046604415969,
      1.4494107255342128,
      1.4494166721789652,
      1.4494225024893306,
      1.4494282186759626
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183501637594498,
      10.995151360322433,
      10.796487495482424,
      10.588869088279408,
      10.373677111912738,
      10.152322606727955,
      9.926302214590937,
      9.697194344204833,
      9.46649841980077,
      9.235583331963788,
      9.00572836802502,
      8.778081473467974,
      8.553620333572361,
      8.333127263586501,
      8.11717749771654,
      7.9061367721425935,
      7.700169848234079,
      7.499258406310116,
      7.303225502151035,
      7.111763833930935,
      6.924464623600118,
      6.740843317053693,
      6.560369044045628,
      6.382491500102421,
      6.206663904729509,
      6.032363500783782,
      5.859103884344293,
      5.686443952314219,
      5.513998637215403,
      5.341455897774953,
      5.168597554630848,
      4.995310130743498,
      4.821592899294113,
      4.647554459089436,
      4.473382978899756,
      4.299339628005037,
      4.125795084142983,
      3.95322359511182,
      3.7821785672715795,
      3.6132568764634136,
      3.4470770584457657,
      3.2842644300073305,
      3.1254344087360977,
      2.9711756806886718,
      2.822034564615881,
      2.6784956190308113,
      2.540970116814052,
      2.409790592871078,
      2.285209504098021,
      2.1674009308031823,
      2.056464931445597,
      1.952433863448024,
      1.8552797991193914,
      1.7649223422299714,
      1.6812375501570826,
      1.6040686561455957,
      1.5332344347406948,
      1.4685338791387819,
      1.4097533996855458,
      1.3566769330029225,
      1.30908566978678,
      1.2667603327065327,
      1.2294884430109998,
      1.1970564368480796,
      1.1692105497272296,
      1.1455969943715556,
      1.1257935178155933,
      1.109329857931832,
      1.0957150112049427,
      1.0845346499735713,
      1.0754701488824454,
      1.06825142623793,
      1.062632482306022,
      1.058396808835581,
      1.0553534309874713,
      1.0533383389202409,
      1.0522135240891035,
      1.0518592291018172,
      1.0521711700917078,
      1.0530585460448925,
      1.054442298741416,
      1.0562535942773217,
      1.0584325293534604,
      1.060927173047003,
      1.0636921094323497,
      1.0666873838795365,
      1.0698772310749198,
      1.0732299199648605,
      1.0767180832145833,
      1.080318112953568,
      1.0840096406325672,
      1.0877750897149943,
      1.0915992901896232,
      1.095469146301111,
      1.099373351035175,
      1.1033021396169294,
      1.1072470776698646,
      1.1112008784841385,
      1.1151572463991115,
      1.119110740511826,
      1.1230566585649984,
      1.126990936588184,
      1.1309100620872392,
      1.134810999320981,
      1.1386911251279948,
      1.1425481735364438,
      1.1463801879681605,
      1.1501854801200988,
      1.153962594773187,
      1.1577102785197482,
      1.1614274537681242,
      1.165113195780856,
      1.1687667128510826,
      1.1723873295753882,
      1.1759744966862078,
      1.1795278844899186,
      1.1830472759067974,
      1.1865324900161212,
      1.1899833787051106,
      1.1933998230602196,
      1.1967817307662787,
      1.2001290334894577,
      1.2034416849514582,
      1.2067196588762432,
      1.209962947313499,
      1.2131715592335828,
      1.2163455191364287,
      1.2194848659763577,
      1.2225896522990845,
      1.2256599434357076,
      1.2286958162434034,
      1.2316973585094555,
      1.2346646686101619,
      1.237597854457032,
      1.2404970335089385,
      1.2433623316619749,
      1.2461938833048887,
      1.248991830605933,
      1.2517563233531181,
      1.2544875186348867,
      1.2571855802078595,
      1.2598506783138295,
      1.262482989334877,
      1.2650826955405632,
      1.26764998492664,
      1.2701850511956394,
      1.2726880930656639,
      1.2751593139743163,
      1.2775989222283735,
      1.2800071304803327,
      1.2823841556500333,
      1.284730218833586,
      1.2870455450979006,
      1.2893303628549664,
      1.291584904240065,
      1.293809404357456,
      1.2960041017330355,
      1.2981692379394876,
      1.3003050571060546,
      1.3024118059228211,
      1.3044897336308097,
      1.3065390916929676,
      1.3085601336036916,
      1.3105531146329223,
      1.3125182919631686,
      1.314455924507135,
      1.316366272711148,
      1.3182495982429958,
      1.3201061639705876,
      1.3219362339774055,
      1.323740073106344,
      1.32551794699807,
      1.3272701223699488,
      1.3289968661622946,
      1.3306984457390771,
      1.3323751289222532,
      1.3340271835549373,
      1.3356548778141601,
      1.3372584799001188,
      1.3388382577631548,
      1.3403944791738513,
      1.3419274114749309,
      1.343437321829148,
      1.344924476793454,
      1.3463891421857617,
      1.3478315831430732,
      1.3492520640654206,
      1.35065084864975,
      1.3520281998104815,
      1.3533843792322617,
      1.3547196476742016,
      1.356034264499824,
      1.357328488009618,
      1.3586025871560756,
      1.3598568606357138,
      1.3610916055836746,
      1.3623071105736044,
      1.3635036566876881,
      1.3646815179606935,
      1.3658409623686865,
      1.3669822524987962,
      1.36810564569748,
      1.3692113943080224,
      1.3702997464047346,
      1.3713709463125572,
      1.3724252344548542,
      1.3734628478521718,
      1.3744840199499282,
      1.3754889811994648,
      1.3764779588669893,
      1.377451177698489,
      1.378408859558809,
      1.3793512235711975,
      1.3802784863504838,
      1.3811908619233013,
      1.3820885618441852,
      1.382971795253511,
      1.3838407692333947,
      1.3846956884446981,
      1.3855367551133677,
      1.3863641692133903,
      1.3871781284399076,
      1.3879788284303616,
      1.3887664628269885,
      1.3895412228756232,
      1.3903032977306502,
      1.3910528743474009,
      1.3917901376232404,
      1.3925152700245447,
      1.3932284522255212,
      1.3939298628264631,
      1.3946196781177564,
      1.3952980723983321,
      1.3959652179332378,
      1.3966212850591053,
      1.3972664417254834,
      1.3979008541505684,
      1.398524686506159,
      1.3991381008526964,
      1.3997412572225298,
      1.400334313749946,
      1.400917426542825,
      1.40149074965215,
      1.4020544350884145,
      1.4026086330885612,
      1.4031534918706532,
      1.4036891577409893,
      1.404215775045102,
      1.4047334862678817,
      1.4052424317743077,
      1.4057427505131888,
      1.4062345792937734,
      1.406718052923738,
      1.4071933044457434,
      1.4076604654219314,
      1.4081196652492003,
      1.4085710315396802,
      1.4090146904983336,
      1.4094507660263849,
      1.4098793805004368,
      1.4103006547351595,
      1.4107147078927358,
      1.4111216569828484,
      1.4115216175299916,
      1.411914703475389,
      1.4123010272802345,
      1.4126806996707,
      1.4130538296348858,
      1.4134205246211176,
      1.4137808903780227,
      1.4141350311485978,
      1.4144830496587686,
      1.4148250332179173,
      1.415161055627638,
      1.4154911929684577,
      1.4158155234147347,
      1.4161341264399143,
      1.4164470829372975,
      1.4167544748831378,
      1.4170563846944155,
      1.4173528953999872,
      1.4176440902009921,
      1.4179300520814346,
      1.4182108643336018,
      1.4184866095060777,
      1.4187573698766627,
      1.4190232271614243,
      1.4192842625788804,
      1.4195405569641768,
      1.4197921900176254,
      1.420039240467644,
      1.420281786283375,
      1.4205199048863524,
      1.420753672293096,
      1.4209831637315185,
      1.4212084534933305,
      1.4214296147854544,
      1.4216467198855092,
      1.4218598399402806,
      1.422069045068255,
      1.4222744043593794,
      1.4224759859756233,
      1.4226738570470623,
      1.4228680835161946,
      1.4230587300319681,
      1.423245860656693,
      1.423429538249644,
      1.4236098248161717,
      1.423786781194662,
      1.4239604670986572,
      1.4241309413614471,
      1.4242982619764157,
      1.4244624857805945,
      1.4246236687985496,
      1.4247818658733156,
      1.4249371311613037,
      1.425089517914303,
      1.4252390784134108,
      1.4253858638512755,
      1.425529924874834,
      1.4256713109066308,
      1.4258100705844514,
      1.4259462519967208,
      1.4260799020018442,
      1.4262110670727153,
      1.4263397925130072,
      1.4264661230461926,
      1.426590102437413,
      1.4267117735726254,
      1.4268311787404389,
      1.4269483597101102,
      1.4270633569442666,
      1.4271762106929595,
      1.4272869604595995,
      1.427395644822529,
      1.4275023016119428,
      1.427606968188034,
      1.4277096813627002,
      1.427810476964794,
      1.4279093904728763,
      1.4280064566812238,
      1.4281017095688606,
      1.4281951827275141,
      1.428286908873678,
      1.4283769202249277,
      1.42846524841791,
      1.4285519248330105,
      1.4286369799522236,
      1.4287204436830354,
      1.4288023455800711,
      1.428882714405255,
      1.4289615787557097,
      1.4290389664705727,
      1.4291149048005187,
      1.4291894207801528,
      1.4292625408882813,
      1.4293342909620488,
      1.429404696466738,
      1.429473782358379,
      1.4295415730987335,
      1.4296080927206671,
      1.4296733648932816,
      1.4297374128343174,
      1.4298002593238284,
      1.4298619267177317,
      1.4299224369101213,
      1.4299818115496032,
      1.4300400720012258,
      1.4300972388503268,
      1.430153332525033,
      1.4302083730030135,
      1.4302623799249212,
      1.4303153725041238,
      1.430367369690494,
      1.4304183901814496,
      1.4304684522293931,
      1.4305175735505273,
      1.4305657716403641,
      1.4306130636821064,
      1.4306594665566117,
      1.4307049969029904,
      1.4307496711282395,
      1.4307935051623006,
      1.4308365149250604,
      1.4308787158777097,
      1.4309201230316286,
      1.4309607512621607,
      1.4310006150628012,
      1.431039728807843,
      1.4310781067097225,
      1.431115762369319,
      1.4311527092923915,
      1.431188960744655,
      1.4312245298610902,
      1.4312594293990406,
      1.4312936721524274,
      1.4313272702468407,
      1.4313602357568371,
      1.4313925804584555,
      1.431424315937572,
      1.4314554536982165,
      1.4314860048129798,
      1.4315159804379638,
      1.4315453913103702,
      1.4315742480597564,
      1.4316025611631455,
      1.4316303409000772,
      1.4316575972057817,
      1.431684339981933,
      1.4317105787970017,
      1.431736322993367,
      1.4317615818960543,
      1.4317863646652924,
      1.431810680505132,
      1.4318345380582012,
      1.4318579457157177,
      1.4318809120291178,
      1.4319034452061388,
      1.4319255536240827,
      1.4319472453258089,
      1.4319685281259682,
      1.4319894098187806,
      1.4320098977754832,
      1.4320299992027077,
      1.432049721502583,
      1.4320690718190259,
      1.4320880570926025,
      1.4321066843695556,
      1.432124960398752,
      1.4321428916354626,
      1.4321604847027452,
      1.4321777458864065,
      1.4321946813928088,
      1.4322112973523455,
      1.4322275997719363,
      1.432243594538335,
      1.4322592875739868,
      1.432274684229881,
      1.4322897904076006,
      1.4323046115961053,
      1.4323191531799546,
      1.4323334202387679,
      1.432347418007879,
      1.4323611516268397,
      1.4323746260405374,
      1.4323878460019126,
      1.4324008163289157,
      1.4324135418562443,
      1.4324260270310984,
      1.4324382765260477,
      1.4324502947328803,
      1.432462086070259,
      1.4324736547317576,
      1.4324850049425433,
      1.4324961409616606,
      1.432507066677456,
      1.432517786067487,
      1.4325283029972382,
      1.4325386213240046,
      1.4325487448480934,
      1.4325586773148993,
      1.432568422467856,
      1.432577983440065,
      1.432587363773352,
      1.432596566911517,
      1.4326055962022,
      1.4326144551022484,
      1.4326231464674046,
      1.432631673571222,
      1.432640039496426,
      1.4326482472892588,
      1.4326562999102224,
      1.432664200439156,
      1.4326719518734647,
      1.4326795570789166,
      1.4326870187911438,
      1.4326943397188971,
      1.4327015224946962,
      1.4327085697270658,
      1.4327154836967864,
      1.4327222667141928,
      1.4327289216799777,
      1.4327354509676689,
      1.4327418568827825,
      1.4327481417657748
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183489938012872,
      10.995115187776086,
      10.796424918568967,
      10.588786609919774,
      10.373586990008878,
      10.152240149478216,
      9.926247929167417,
      9.697194113779311,
      9.46657289940362,
      9.235750986868856,
      9.006007284993677,
      8.778489044144145,
      8.554172734515964,
      8.333839497313182,
      8.11806344481791,
      7.90720928241045,
      7.701440929390667,
      7.500739475957765,
      7.304927668549982,
      7.113698173030132,
      6.926642490357724,
      6.743276645989276,
      6.56307038345176,
      6.385474056483833,
      6.209941502358856,
      6.035950449797616,
      5.8630154563317065,
      5.690696158061229,
      5.518607475450184,
      5.346436485697667,
      5.173963450745061,
      5.001072915371348,
      4.827761486113195,
      4.65413503330475,
      4.480380475036567,
      4.306754728141248,
      4.133622736744982,
      3.961453254689914,
      3.790795304805358,
      3.622242825581567,
      3.456411956746273,
      3.293925476964386,
      3.1353968926910367,
      2.981413549639899,
      2.8325214690220952,
      2.6892058946907356,
      2.5518795183085023,
      2.4208769352326476,
      2.296453145352955,
      2.178785082426894,
      2.067975820269245,
      1.9640607516847661,
      1.8670148875498318,
      1.7767606032031438,
      1.6931764763638415,
      1.6161086147960761,
      1.5453780975271167,
      1.4807856452956092,
      1.4221195156812088,
      1.3691646594349816,
      1.321701241875836,
      1.2795111356209097,
      1.242382556963195,
      1.2100990845986606,
      1.182394180457967,
      1.1588965910778168,
      1.1391743333383022,
      1.1227481080892765,
      1.10912473286559,
      1.097900407274162,
      1.0887627141358032,
      1.0814438432653295,
      1.075699745927344,
      1.0713157931838588,
      1.0681021048477457,
      1.0658972577362633,
      1.0645654185325755,
      1.0639887236666257,
      1.0640646013406536,
      1.0647037967209412,
      1.0658286477916639,
      1.0673716514945637,
      1.0692743408727325,
      1.0714855436651205,
      1.073960378066793,
      1.0766598181848939,
      1.0795497297041232,
      1.0825994668542493,
      1.0857821782596646,
      1.0890747243201473,
      1.0924571615312486,
      1.0959122989578591,
      1.0994253164852856,
      1.1029834368348286,
      1.1065756425694642,
      1.1101924326097954,
      1.1138256128602135,
      1.1174681163790305,
      1.1211138477735982,
      1.1247575494023896,
      1.1283946871141097,
      1.1320213508532353,
      1.135634169462516,
      1.1392302372112142,
      1.1428070506726173,
      1.146362454443531,
      1.1498945941155934,
      1.1534018756877367,
      1.1568829310804065,
      1.1603365877463079,
      1.163761842874602,
      1.1671578412193702,
      1.17052385559122,
      1.1738592705824809,
      1.1771635679668049,
      1.1804363145065688,
      1.1836771509734176,
      1.1868857831232689,
      1.1900619736918363,
      1.1932055936875745,
      1.1963166563063166,
      1.1993952044240255,
      1.2024412902607344,
      1.2054549750350732,
      1.2084363286709607,
      1.2113854293524653,
      1.2143023628240401,
      1.217187222858847,
      1.2200401104534935,
      1.2228611334269763,
      1.2256504064222993,
      1.2284080507002693,
      1.2311341936231632,
      1.233828968692123,
      1.2364925152731687,
      1.2391249784180993,
      1.241726508627561,
      1.2442972616063284,
      1.2468373980613645,
      1.2493470837456233,
      1.2518264889845647,
      1.2542757885494689,
      1.2566951616736242,
      1.2590847919063741,
      1.2614448665502016,
      1.2637755767995345,
      1.2660771175127614,
      1.2683496870244497,
      1.2705934873025653,
      1.2728087233828114,
      1.274995603401757,
      1.2771543382626045,
      1.279285141848694,
      1.2813882303608504,
      1.283463822812612,
      1.2855121405473868,
      1.2875334069979567,
      1.2895278477390941,
      1.2914956901721795,
      1.2934371637063287,
      1.2953524993678234,
      1.2972419294993514,
      1.29910568775199,
      1.3009440093191251,
      1.3027571307518482,
      1.3045452893552625,
      1.3063087234371964,
      1.3080476722398462,
      1.3097623758085237,
      1.3114530747978321,
      1.3131200103675136,
      1.3147634240159167,
      1.3163835574522518,
      1.3179806527114564,
      1.3195549521052752,
      1.3211066979073811,
      1.3226361320272404,
      1.3241434965880041,
      1.325629033374396,
      1.3270929839817536,
      1.328535589394514,
      1.329957090215122,
      1.3313577264243979,
      1.3327377374364553,
      1.3340973619906396,
      1.3354368377787524,
      1.3367564020283476,
      1.3380562909062517,
      1.339336739725926,
      1.3405979828398538,
      1.341840253471424,
      1.343063783537211,
      1.344268803968359,
      1.345455544565076,
      1.3466242336893686,
      1.3477750983048318,
      1.348908364261816,
      1.3500242556583533,
      1.3511229956676005,
      1.3522048056274627,
      1.3532699054444732,
      1.3543185132772895,
      1.355350845873209,
      1.356367118388389,
      1.357367544352871,
      1.358352348140684,
      1.359321773985518,
      1.360276062398755,
      1.361215447231907,
      1.3621401555752257,
      1.3630504087641357,
      1.3639464228158054,
      1.3648284090593563,
      1.3656965740958678,
      1.366551120766799,
      1.3673922478936262,
      1.368220150620044,
      1.369035021102641,
      1.3698370483299727,
      1.3706264182401457,
      1.3714033139842454,
      1.3721679159293052,
      1.372920401807709,
      1.3736609472676382,
      1.3743897255025572,
      1.3751069071296256,
      1.3758126605711127,
      1.3765071521257235,
      1.3771905461365739,
      1.3778630046458196,
      1.37852468780746,
      1.37917575383781,
      1.3798163587581456,
      1.3804466568449607,
      1.3810668004147995,
      1.3816769399102171,
      1.3822772237273124,
      1.382867798598755,
      1.3834488093117947,
      1.3840203989820212,
      1.3845827090182892,
      1.3851358788298946,
      1.3856800461402878,
      1.386215346890682,
      1.3867419151910743,
      1.3872598833696295,
      1.3877693823748813,
      1.3882705414121048,
      1.38876348793259,
      1.3892483476198643,
      1.389725244525601,
      1.3901942949464543,
      1.39065559101748,
      1.3911092221842414,
      1.391555280850831,
      1.3919938618234895,
      1.392425061907124,
      1.3928489794003331,
      1.3932657141496203,
      1.393675366535231,
      1.3940780376769648,
      1.3944738290796999,
      1.3948628421253857,
      1.395245178123385,
      1.395620938156064,
      1.3959902229231718,
      1.3963531324322591,
      1.3967097662979142,
      1.3970602231750333,
      1.3974046011059982,
      1.3977429972560456,
      1.3980755077488738,
      1.398402227704022,
      1.398723250916674,
      1.3990386702986972,
      1.3993485776568668,
      1.3996530637749018,
      1.399952218290432,
      1.4002461294178574,
      1.40053488433082,
      1.400818569034561,
      1.4010972682876646,
      1.4013710658275045,
      1.4016400440348167,
      1.401904284207221,
      1.4021638663226146,
      1.4024188691572719,
      1.4026693703007695,
      1.4029154462205058,
      1.4031571721214593,
      1.403394622364094,
      1.4036278701183142,
      1.4038569869651374,
      1.4040820436160812,
      1.4043031097666936,
      1.4045202539998731,
      1.4047335439423916,
      1.404943046064344,
      1.4051488254773425,
      1.4053509463928908,
      1.4055494721218158,
      1.4057444648185822,
      1.4059359857330787,
      1.4061240950546212,
      1.4063088521109757,
      1.4064903150070125,
      1.406668540974357,
      1.4068435866185678,
      1.4070155073515986,
      1.4071843576372445,
      1.4073501913373736,
      1.4075130611928022,
      1.407673018913637,
      1.4078301154212913,
      1.4079844006319524,
      1.4081359239514166,
      1.40828473395541,
      1.4084308779674695,
      1.4085744029584466,
      1.408715354970344,
      1.4088537793025213,
      1.4089897204936008,
      1.409123222506372,
      1.4092543280472987,
      1.409383079360299,
      1.409509518256991,
      1.4096336854344662,
      1.409755621165572,
      1.4098753650223117,
      1.4099929555987045,
      1.4101084310976284,
      1.4102218288999122,
      1.410333185844975,
      1.410442538307601,
      1.4105499216637118,
      1.410655370823814,
      1.4107589202572657,
      1.4108606035075482,
      1.4109604540294136,
      1.4110585044997903,
      1.411154786992949,
      1.4112493329516977,
      1.4113421732598088,
      1.4114333383140563,
      1.411522857841488,
      1.4116107613266444,
      1.411697077624732,
      1.4117818349811289,
      1.4118650611523067,
      1.411946783628102,
      1.41202702929415,
      1.412105824653448,
      1.4121831955390176,
      1.4122591674872824,
      1.4123337656025472,
      1.4124070146755865,
      1.412478938487977,
      1.41254956099791,
      1.4126189055422527,
      1.4126869949537966,
      1.4127538518815839,
      1.4128194985006555,
      1.4128839562723994,
      1.4129472464164978,
      1.4130093900266478,
      1.4130704079318797,
      1.4131303202523833,
      1.4131891469722042,
      1.4132469074436877,
      1.4133036210614087,
      1.413359306460933,
      1.413413982294016,
      1.4134676664777053,
      1.4135203770198723,
      1.413572131674822,
      1.413622947395317,
      1.4136728411065158,
      1.4137218295134342,
      1.4137699287557397,
      1.4138171550793994,
      1.4138635242366986,
      1.4139090517508115,
      1.4139537528748378,
      1.413997642398171,
      1.4140407348085968,
      1.4140830446067398,
      1.414124586010143,
      1.4141653729115577,
      1.4142054188877515,
      1.414244737615159,
      1.4142833419120775,
      1.4143212445099091,
      1.4143584579594495,
      1.4143949950458634,
      1.414430867982912,
      1.4144660888276457,
      1.4145006692845556,
      1.4145346210182215,
      1.4145679555081012,
      1.414600683750541,
      1.4146328169778755,
      1.414664365902563,
      1.4146953410799614,
      1.4147257529150108,
      1.4147556115670152,
      1.4147849272104078,
      1.4148137096341935,
      1.4148419684007183,
      1.4148697130551267,
      1.4148969529279287,
      1.414923696937287,
      1.414949954306807,
      1.414975733808345,
      1.415001044225244,
      1.415025894205237,
      1.4150502918589078,
      1.4150742453752216,
      1.41509776282308,
      1.4151208521055443,
      1.4151435210664731,
      1.4151657773936812,
      1.4151876284711518,
      1.41520908179054,
      1.4152301444471538,
      1.415250823551343,
      1.4152711259785455,
      1.4152910584753375,
      1.4153106278161498,
      1.4153298406549122,
      1.4153487035800743,
      1.4153672231186354,
      1.4153854053841688,
      1.4154032564875232,
      1.4154207823879636,
      1.4154379889478013,
      1.4154548820376982,
      1.4154714672859803,
      1.4154877503364542,
      1.4155037364958263,
      1.4155194312456092,
      1.415534839991232,
      1.4155499676075225,
      1.4155648194590795,
      1.4155794005896825,
      1.4155937158780536,
      1.415607770244278,
      1.4156215684493738,
      1.415635115250849,
      1.4156484150495197,
      1.4156614722483412,
      1.4156742914585032,
      1.4156868771462796,
      1.4156992335339955,
      1.4157113645517476,
      1.4157232741959147,
      1.4157349664807206,
      1.4157464455933035,
      1.4157577154384913,
      1.4157687799463536,
      1.4157796428712095,
      1.4157903078447902,
      1.4158007781749256,
      1.4158110575597898,
      1.4158211494797115,
      1.4158310573010657,
      1.4158407841765965,
      1.4158503338612194,
      1.4158597094934688,
      1.4158689141061604,
      1.415877950984264,
      1.415886823107371,
      1.4158955334567376,
      1.4159040849154,
      1.4159124802698828,
      1.4159207223645571,
      1.4159288141033046,
      1.4159367583496105,
      1.4159445576739773,
      1.4159522147115324,
      1.4159597320619368,
      1.415967112290937,
      1.415974357982819,
      1.4159814712841712,
      1.4159884549225497,
      1.4159953111907817
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183480134607617,
      10.995085407919623,
      10.796375744135727,
      10.588726850689683,
      10.373530770659535,
      10.152204575421031,
      9.926256322996377,
      9.697273849047066,
      9.466744907508446,
      9.236034690697531,
      9.006421559180358,
      8.779051947917281,
      8.554901019184724,
      8.334748683085413,
      8.1191679033838,
      7.908522360997552,
      7.702975171944922,
      7.502506902071109,
      7.306940074300207,
      7.115967419160871,
      6.929180841436062,
      6.746097091192359,
      6.56618661267472,
      6.388900482167181,
      6.213693188741245,
      6.04004294476226,
      5.867465143553176,
      5.69552003684407,
      5.523822642395337,
      5.352059118267627,
      5.1800079018915905,
      5.00755120607829,
      4.8346825709006795,
      4.661504691302819,
      4.488202845956792,
      4.315029556389009,
      4.142343365303649,
      3.9706065622153126,
      3.800363271841431,
      3.632203836860782,
      3.466741564529931,
      3.3045966529299546,
      3.146380695210453,
      2.992679870935357,
      2.8440396582924996,
      2.7009462193772933,
      2.563813977360602,
      2.4329799551215867,
      2.3087020977729664,
      2.191160614389566,
      2.0804620181811035,
      1.9766451479320672,
      1.879688339856925,
      1.7895171041600424,
      1.7060130600624124,
      1.6290254747891937,
      1.5583777689743685,
      1.4938725862437545,
      1.435300577646728,
      1.3824465704265396,
      1.3350908667865833,
      1.293016526869642,
      1.2560124797289036,
      1.2238594635394369,
      1.1962738058217217,
      1.1728705445630945,
      1.1532080175161759,
      1.1367968735331344,
      1.1231437160062105,
      1.1118567555589893,
      1.102628816471737,
      1.0951939693285284,
      1.0893102234468246,
      1.0847640314594336,
      1.0813672946789106,
      1.0789610463597419,
      1.0774115582029138,
      1.0766027856364278,
      1.0764337998166995,
      1.076816828671844,
      1.077675703855817,
      1.0789444237094696,
      1.0805652229342566,
      1.0824875051413918,
      1.0846673167825573,
      1.087066481648202,
      1.0896518400123278,
      1.0923943502937,
      1.0952679155716334,
      1.0982498102791052,
      1.1013204673388375,
      1.104463038413631,
      1.1076630156470886,
      1.110907905590068,
      1.1141869491063079,
      1.1174908808862913,
      1.1208117217653537,
      1.1241426008741575,
      1.127477602012433,
      1.1308116315875867,
      1.1341403056559958,
      1.1374598517115657,
      1.1407670248152504,
      1.1440590353986408,
      1.1473334868121172,
      1.1505883217771609,
      1.153821776208276,
      1.1570323395983761,
      1.1602187206656007,
      1.1633798180909032,
      1.1665146949131873,
      1.1696225564803115,
      1.1727027317590548,
      1.175754657203972,
      1.1787778627461545,
      1.181771959365653,
      1.1847366289864614,
      1.1876716153515523,
      1.190576715911055,
      1.193451775777029,
      1.1962966811884603,
      1.1991113548152286,
      1.2018957515688302,
      1.2046498545559334,
      1.2073736719815513,
      1.2100673021404107,
      1.2127309285867807,
      1.2153647340605471,
      1.2179688972189076,
      1.2205435939237064,
      1.2230889981030841,
      1.2256052825453245,
      1.2280926193715216,
      1.2305511804423068,
      1.232981138411562,
      1.2353826663428187,
      1.2377559385840011,
      1.2401011307145846,
      1.2424184198366175,
      1.2447079849049703,
      1.246970006639433,
      1.2492046673237822,
      1.2514121515599563,
      1.2535926457908744,
      1.2557463384735206,
      1.2578734200377895,
      1.2599740828856267,
      1.2620485212266115,
      1.264096931360841,
      1.2661195111882018,
      1.2681164606732385,
      1.2700879813333075,
      1.2720342766316821,
      1.273955551139291,
      1.2758520110081206,
      1.2777238638236301,
      1.2795713185992426,
      1.2813945857095181,
      1.2831938766603521,
      1.2849694038995232,
      1.2867213807691578,
      1.2884500215493242,
      1.2901555414403787,
      1.2918381565351538,
      1.2934980831704588,
      1.2951355382343934,
      1.2967507394633786,
      1.2983439045594134,
      1.2999152515684154,
      1.3014649990960825,
      1.3029933655982018,
      1.3045005697800929,
      1.3059868303248772,
      1.3074523656629042,
      1.3088973941381576,
      1.310322134012679,
      1.3117268031052478,
      1.3131116187767347,
      1.3144767979568528,
      1.3158225572124145,
      1.3171491126031494,
      1.3184566796301649,
      1.3197454731247964,
      1.3210157068739308,
      1.3222675941521982,
      1.3235013475334605,
      1.3247171785412761,
      1.3259152976977504,
      1.3270959148182642,
      1.3282592383826861,
      1.329405475864627,
      1.3305348337475411,
      1.3316475173804037,
      1.33274373097843,
      1.333823677361552,
      1.33488755824492,
      1.3359355739625045,
      1.3369679235393819,
      1.337984804705898,
      1.3389864139049255,
      1.3399729461903613,
      1.3409445949661567,
      1.3419015523288427,
      1.3428440088439746,
      1.3437721534686768,
      1.344686173874493,
      1.3455862561536907,
      1.3464725849263952,
      1.3473453431364255,
      1.3482047120443856,
      1.3490508715202045,
      1.3498839997194525,
      1.3507042731100298,
      1.351511866595076,
      1.3523069534776886,
      1.3530897053185722,
      1.353860292093624,
      1.3546188820920446,
      1.355365641910982,
      1.3561007364961906,
      1.3568243289741602,
      1.3575365809881441,
      1.3582376641690623,
      1.3589277621003315,
      1.359607053619945,
      1.3602757121901874,
      1.3609339064802006,
      1.3615818005855014,
      1.3622195541389945,
      1.362847323280363,
      1.3634652609585927,
      1.3640735146860614,
      1.3646722061261585,
      1.3652614412283568,
      1.365841329098096,
      1.3664119812829054,
      1.3669735116185049,
      1.3675260353623668,
      1.368069669038844,
      1.3686045300797751,
      1.369130736565727,
      1.3696484069149968,
      1.370157659367609,
      1.3706586122812499,
      1.3711513836626024,
      1.3716360910526644,
      1.3721128515119165,
      1.3725817811964316,
      1.3730429956947527,
      1.3734966096506838,
      1.3739427365872212,
      1.3743814892878674,
      1.3748129792091863,
      1.3752373171630328,
      1.3756546124196563,
      1.3760649732328767,
      1.37646850660007,
      1.3768653180708974,
      1.3772555120623773,
      1.3776391916632036,
      1.378016458995624,
      1.3783874147614534,
      1.3787521580403532,
      1.3791107871032717,
      1.3794633987489637,
      1.3798100885033193,
      1.3801509505116007,
      1.3804860778355608,
      1.3808155618841726,
      1.3811394928596896,
      1.3814579599984294,
      1.381771051199607,
      1.3820788530085844,
      1.382381450700027,
      1.3826789284610679,
      1.3829713692678416,
      1.3832588548621545,
      1.383541465879167,
      1.3838192815667132,
      1.3840923801642222,
      1.3843608387207726,
      1.3846247330134263,
      1.3848841377183994,
      1.3851391262248525,
      1.385389771006654,
      1.38563614353528,
      1.3858783141405369,
      1.386116352073527,
      1.3863503256699807,
      1.3865803022582557,
      1.3868063478627035,
      1.3870285273125114,
      1.3872469048580176,
      1.387461543616306,
      1.3876725054732797,
      1.3878798517476445,
      1.3880836427350014,
      1.3882839374542182,
      1.3884807944100672,
      1.3886742710325264,
      1.388864423776263,
      1.3890513084735574,
      1.3892349798216266,
      1.38941549163196,
      1.3895928967225863,
      1.3897672474198999,
      1.3899385948897756,
      1.3901069900446952,
      1.3902724824155914,
      1.3904351209555692,
      1.390594953825536,
      1.390752028230024,
      1.3909063907607002,
      1.391058087383319,
      1.3912071630168972,
      1.3913536621803935,
      1.3914976287231917,
      1.3916391053514119,
      1.3917781342725084,
      1.3919147570761476,
      1.392049014665516,
      1.3921809470861852,
      1.39231059406639,
      1.392437994386918,
      1.3925631863694707,
      1.3926862077539308,
      1.3928070955752625,
      1.3929258861414238,
      1.3930426153668212,
      1.3931573182913841,
      1.3932700294129021,
      1.3933807829679496,
      1.3934896125004042,
      1.3935965510397375,
      1.3937016309737156,
      1.3938048839713926,
      1.3939063413124804,
      1.394006033809356,
      1.3941039918304818,
      1.3942002451199085,
      1.3942948229723409,
      1.3943877543569432,
      1.394479067481369,
      1.3945687900163966,
      1.394656949421876,
      1.39474357281467,
      1.3948286864293578,
      1.3949123161973158,
      1.3949944876642804,
      1.395075226263695,
      1.395154556572483,
      1.3952325029397092,
      1.3953090892501836,
      1.3953843390438243,
      1.39545827558386,
      1.3955309215687013,
      1.3956022991486088,
      1.3956724300944985,
      1.3957413360682969,
      1.395809038231756,
      1.3958755574653525,
      1.3959409142817836,
      1.3960051287900204,
      1.3960682207098625,
      1.396130209691527,
      1.396191114821156,
      1.3962509547872126,
      1.3963097480465974,
      1.3963675130414006,
      1.3964242673983134,
      1.3964800286026744,
      1.396534813909169,
      1.3965886404560282,
      1.3966415244633832,
      1.3966934826183681,
      1.3967445309170217,
      1.3967946853370714,
      1.396843961289714,
      1.3968923741901638,
      1.3969399390108452,
      1.3969866702920308,
      1.3970325826608219,
      1.3970776904854745,
      1.3971220078347244,
      1.3971655481824916,
      1.3972083253331273,
      1.397250352515459,
      1.3972916428499893,
      1.3973322090529199,
      1.3973720638520664,
      1.397411219690622,
      1.397449688786796,
      1.3974874830406263,
      1.397524614296693,
      1.397561094352424,
      1.3975969344576853,
      1.3976321458313434,
      1.397666739516554,
      1.3977007261849304,
      1.39773411644926,
      1.397766920718319,
      1.3977991491532555,
      1.3978308118272589,
      1.3978619186308867,
      1.3978924793806513,
      1.3979225035206657,
      1.3979520003326633,
      1.3979809790441964,
      1.3980094488350439,
      1.3980374185383626,
      1.3980648968502964,
      1.3980918922342638,
      1.3981184132320095,
      1.3981444683169553,
      1.3981700656965084,
      1.3981952133687194,
      1.3982199189751217,
      1.3982441903656053,
      1.3982680351459504,
      1.3982914610392023,
      1.3983144753823058,
      1.398337085232911,
      1.3983592975777097,
      1.3983811192863407,
      1.3984025574722287,
      1.3984236186835226,
      1.3984443095180825,
      1.3984646367297215,
      1.3984846066224446,
      1.3985042256651645,
      1.3985234997840177,
      1.3985424350276778,
      1.3985610373171466,
      1.3985793125516266,
      1.3985972664090123,
      1.3986149046041136,
      1.3986322326891805,
      1.398649255803278,
      1.3986659795405738,
      1.3986824091403052,
      1.3986985498972675,
      1.3987144066058572,
      1.3987299842247185,
      1.3987452877274478,
      1.3987603218516844,
      1.3987750915092314,
      1.3987896012298897,
      1.398803855571556,
      1.3988178590723335,
      1.3988316162537127,
      1.398845131369259,
      1.3988584087636513,
      1.3988714524686139,
      1.3988842666126313,
      1.398896855220297,
      1.3989092223167878,
      1.3989213717270943,
      1.3989333071804104,
      1.3989450325160744,
      1.3989565516353526,
      1.3989678678936688,
      1.3989789848658676,
      1.39898990604347,
      1.39900063488789,
      1.3990111748836493,
      1.399021529286392,
      1.3990317014812004,
      1.399041694527051,
      1.3990515116675584,
      1.3990611559262542,
      1.3990706302103426,
      1.3990799378213548,
      1.3990890816435317,
      1.3990980643492177,
      1.3991068889093328,
      1.399115558086718,
      1.3991240742854252,
      1.3991324404679155,
      1.3991406592414521,
      1.3991487332668597,
      1.3991566651585081,
      1.3991644574352586,
      1.3991721125730197,
      1.39917963285385,
      1.3991870208761241
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183471869007292,
      10.995061487752716,
      10.796339820842654,
      10.588690054903834,
      10.373509377510013,
      10.152217714824147,
      9.926328846551177,
      9.697434023397959,
      9.467014505305091,
      9.236434079379409,
      9.00697038251738,
      8.779768910695335,
      8.555803424959132,
      8.335852545497149,
      8.120488056618633,
      7.910072619691278,
      7.704768584205204,
      7.504556055355963,
      7.309257414592258,
      7.118565550379527,
      6.932072890771465,
      6.749297050493363,
      6.569709256826653,
      6.392761369888683,
      6.217908563569305,
      6.04462953086176,
      5.872440413408955,
      5.700902082902478,
      5.529629718440299,
      5.358308402791299,
      5.186714495545302,
      5.014727535472631,
      4.84233761286456,
      4.669643713023582,
      4.496829121502925,
      4.324141873820266,
      4.151933465911515,
      3.9806588390107005,
      3.810856590879448,
      3.6431130605110336,
      3.478038412731314,
      3.316249991862421,
      3.158357427656295,
      3.0049456882622874,
      2.8565596968420155,
      2.713686741573529,
      2.5767432689409713,
      2.4460690784453494,
      2.3219254430395577,
      2.2044962510924893,
      2.0938918634020833,
      1.9901549624379082,
      1.893267585413513,
      1.8031587325913914,
      1.7197134786185657,
      1.6427845359947228,
      1.572197801457422,
      1.5077580347822777,
      1.4492580086863796,
      1.3964827229440568,
      1.3492131624467685,
      1.3072336106859368,
      1.2703333697930455,
      1.2382903965964118,
      1.2108027680741384,
      1.1874731802872749,
      1.1678502734472416,
      1.15143486868008,
      1.1377371609702052,
      1.126373836547811,
      1.1170424837594362,
      1.1094790446433334,
      1.1034437281474092,
      1.0987240398283329,
      1.095133861125663,
      1.092516563895903,
      1.0907405181946663,
      1.089691461389392,
      1.0892700796460513,
      1.089390294754634,
      1.0899774821351147,
      1.090966348126158,
      1.0922997656389757,
      1.093928145810691,
      1.0958084495907916,
      1.0979033222376637,
      1.1001803422192256,
      1.1026113686534333,
      1.1051718145704963,
      1.1078396445669174,
      1.1105956160040593,
      1.113423176712478,
      1.116308088800599,
      1.1192381052687788,
      1.1222026924832296,
      1.1251927906855586,
      1.128200608805362,
      1.1312194475182191,
      1.1342435477015091,
      1.1372679597091682,
      1.1402884309136485,
      1.1433013093041322,
      1.1463034607092306,
      1.1492921969340302,
      1.152265214413412,
      1.1552205414275585,
      1.1581564926558925,
      1.1610716299104986,
      1.1639647283102899,
      1.166834747626376,
      1.16968080731755,
      1.1725021646479772,
      1.175298196353377,
      1.1780683828028429,
      1.1808122942189963,
      1.1835295789302873,
      1.1862199525644925,
      1.1888831899950212,
      1.1915191174804967,
      1.1941276058994008,
      1.1967085653211285,
      1.199261939784359,
      1.2017877034435391,
      1.204285856702496,
      1.206756422887795,
      1.2091994457106459,
      1.2116149870038242,
      1.2140031242715783,
      1.2163639492693525,
      1.2186975661865445,
      1.221004090344733,
      1.223283646798497,
      1.2255363865372788,
      1.2277625413272761,
      1.2299623605708019,
      1.232136083536115,
      1.2342839407050055,
      1.2364061555018266,
      1.2385029453380023,
      1.2405745228391627,
      1.2426210962391406,
      1.2446428707222703,
      1.2466400489353926,
      1.248612831382785,
      1.2505614171116426,
      1.2524860037734686,
      1.2543867882319606,
      1.2562639665986033,
      1.2581177346124706,
      1.2599482876521546,
      1.2617558211943685,
      1.2635405305495695,
      1.2653026111972192,
      1.2670422586018475,
      1.2687596686293132,
      1.270455037648098,
      1.2721285619087999,
      1.2737804376764679,
      1.2754108618110878,
      1.2770200315249722,
      1.2786081441818409,
      1.2801753972901833,
      1.2817219883855144,
      1.2832481153105555,
      1.2847539757235373,
      1.2862397674622101,
      1.287705688237853,
      1.2891519357783392,
      1.2905787076573354,
      1.2919862011659635,
      1.2933746134809778,
      1.2947441415702987,
      1.2960949822938101,
      1.2974273318856924,
      1.298741386344026,
      1.3000373409476564,
      1.3013153905788317,
      1.3025757295292082,
      1.3038185518577916,
      1.3050440505203582,
      1.3062524182207245,
      1.3074438467283833,
      1.3086185269010546,
      1.3097766489537577,
      1.3109184023140055,
      1.3120439754189286,
      1.3131535556577112,
      1.3142473297648978,
      1.315325483393012,
      1.3163882009836552,
      1.3174356660384055,
      1.3184680611799087,
      1.3194855676468682,
      1.3204883659016522,
      1.3214766350108782,
      1.3224505527826207,
      1.3234102959482308,
      1.3243560401346162,
      1.3252879594746778,
      1.3262062268728778,
      1.3271110140107039,
      1.3280024912956345,
      1.3288808276009754,
      1.3297461906104475,
      1.3305987466487506,
      1.3314386607610984,
      1.3322660964314745,
      1.3330812159060554,
      1.33388418005372,
      1.3346751482216346,
      1.3354542784928516,
      1.3362217273286012,
      1.3369776500197135,
      1.3377221823641214,
      1.3384554347332085,
      1.339177519025577,
      1.3398885518120003,
      1.3405886532094666,
      1.3412779466716909,
      1.341956558220303,
      1.3426246157772583,
      1.3432822490052736,
      1.343929588587616,
      1.3445667659639116,
      1.3451939132169286,
      1.3458111629064842,
      1.3464186475453666,
      1.3470164993270675,
      1.3476048505123912,
      1.3481838326945261,
      1.3487535767228145,
      1.349314212521823,
      1.3498658695180383,
      1.3504086760465919,
      1.3509427598233774,
      1.3514682470920472,
      1.3519852631412645,
      1.352493932056268,
      1.3529943765693657,
      1.3534867183652954,
      1.353971077621044,
      1.3544475733055612,
      1.3549163232735824,
      1.3553774437971655,
      1.3558310500610815,
      1.356277255943519,
      1.3567161736415914,
      1.3571479141080944,
      1.3575725870787887,
      1.3579903022671986,
      1.358401177832377,
      1.3588053337954225,
      1.359202886880871,
      1.3595939502879417,
      1.3599786340173476,
      1.3603570451435092,
      1.3607292880321142,
      1.361095464758115,
      1.361455675011943,
      1.3618100160538191,
      1.3621585835298053,
      1.3625014707595564,
      1.362838769191227,
      1.3631705685997364,
      1.36349695713027,
      1.3638180211868947,
      1.3641338458278525,
      1.3644445145993283,
      1.364750109265577,
      1.365050710757833,
      1.365346398493955,
      1.3656372503067162,
      1.3659233429297077,
      1.3662047520239085,
      1.3664815518467168,
      1.3667538154280183,
      1.3670216149990981,
      1.3672850213519405,
      1.3675441041126968,
      1.3677989320645134,
      1.3680495728078688,
      1.3682960930808714,
      1.3685385584679275,
      1.3687770337174252,
      1.3690115825498526,
      1.3692422675152804,
      1.3694691503074816,
      1.369692291873539,
      1.3699117518610942,
      1.3701275890816604,
      1.370339861565882,
      1.370548626770545,
      1.3707539410217402,
      1.3709558598215208,
      1.3711544376959293,
      1.3713497282961118,
      1.371541784651202,
      1.371730658860839,
      1.371916402244488,
      1.3720990654390202,
      1.372278698190346,
      1.3724553497035648,
      1.3726290682295037,
      1.372799901158937,
      1.3729678951668025,
      1.3731330963555843,
      1.3732955502454893,
      1.3734553015096629,
      1.3736123939627713,
      1.3737668708540531,
      1.3739187748036499,
      1.374068147687267,
      1.3742150308764198,
      1.3743594652235769,
      1.374501490538105,
      1.3746411462821104,
      1.374778471146815,
      1.3749135032384672,
      1.3750462802129586,
      1.375176839002888,
      1.3753052160526693,
      1.3754314471461624,
      1.3755555676406752,
      1.3756776120391936,
      1.3757976143756923,
      1.3759156083966397,
      1.3760316270806687,
      1.376145703124245,
      1.3762578685622082,
      1.3763681548454207,
      1.3764765929689229,
      1.3765832131925406,
      1.3766880455748147,
      1.376791119743627,
      1.3768924647682304,
      1.3769921091832886,
      1.377090081266785,
      1.3771864087073151,
      1.3772811185251284,
      1.3773742376538949,
      1.3774657924541276,
      1.3775558086838722,
      1.3776443120793558,
      1.377731327816365,
      1.377816880785148,
      1.3779009953054544,
      1.3779836951970674,
      1.3780650037991686,
      1.3781449441926923,
      1.3782235392189923,
      1.3783008112947661,
      1.378376782328342,
      1.3784514740425688,
      1.37852490799221,
      1.37859710497082,
      1.3786680855360707,
      1.3787378702296682,
      1.3788064788306982,
      1.3788739309818239,
      1.3789402459506188,
      1.379005442543074,
      1.3790695395764345,
      1.3791325555888416,
      1.3791945089048998,
      1.379255417141503,
      1.3793152975269072,
      1.3793741673213218,
      1.379432043423534,
      1.3794889424859764,
      1.3795448808260489,
      1.3795998744389477,
      1.3796539392645617,
      1.379707091047381,
      1.3797593450944396,
      1.3798107163380875,
      1.3798612198564653,
      1.3799108701730325,
      1.3799596814713513,
      1.3800076677079116,
      1.3800548427246844,
      1.38010122010729,
      1.3801468131446857,
      1.380191635246386,
      1.3802356993425098,
      1.3802790179445703,
      1.3803216037656156,
      1.3803634692722169,
      1.3804046265923668,
      1.3804450877283359,
      1.3804848641080818,
      1.380523967357064,
      1.3805624088493722,
      1.3806001997165087,
      1.3806373509576626,
      1.380673873244671,
      1.3807097771336678,
      1.3807450731240571,
      1.3807797714122474,
      1.3808138820520035,
      1.380847415114747,
      1.3808803801377734,
      1.380912786691009,
      1.3809446443335087,
      1.3809759622645843,
      1.3810067496869842,
      1.3810370154577765,
      1.381066768298603,
      1.381096016903977,
      1.3811247698462612,
      1.3811530354294932,
      1.381180821848365,
      1.381208137346982,
      1.3812349897164522,
      1.3812613868095263,
      1.3812873362921427,
      1.381312845852735,
      1.3813379227502247,
      1.381362574429965,
      1.3813868081223917,
      1.3814106309501868,
      1.3814340500355078,
      1.3814570718948416,
      1.3814797033596102,
      1.3815019507165165,
      1.3815238207296656,
      1.3815453197809215,
      1.3815664540781771,
      1.3815872298634975,
      1.381607653061741,
      1.3816277296410835,
      1.3816474655666475,
      1.3816668666015233,
      1.3816859384128295,
      1.381704686626808,
      1.3817231166804849,
      1.3817412336731212,
      1.381759043082226,
      1.381776550157182,
      1.381793760024989,
      1.381810677643168,
      1.3818273081087193,
      1.381843656204142,
      1.3818597266553183,
      1.381875524033343,
      1.3818910531648831,
      1.381906318576189,
      1.3819213250052105,
      1.3819360766929787,
      1.381950577997228,
      1.3819648329377388,
      1.3819788458098226,
      1.3819926206279765,
      1.382006161484957,
      1.3820194723004229,
      1.3820325569765672,
      1.3820454196044523,
      1.3820580639074862,
      1.3820704934477004,
      1.3820827118827392,
      1.3820947228159803,
      1.382106529748341,
      1.3821181358773564,
      1.3821295448118678,
      1.3821407598623894,
      1.382151784348858,
      1.3821626216539518,
      1.3821732749204312,
      1.3821837472568912,
      1.3821940415875018,
      1.3822041609593696,
      1.3822141084939445,
      1.3822238870841483,
      1.382233499447354,
      1.382242948330901,
      1.3822522366158438,
      1.3822613669630452,
      1.3822703419168687,
      1.3822791643140109,
      1.3822878368786664,
      1.3822963619193327,
      1.3823047422461747,
      1.3823129801556666,
      1.3823210780428294,
      1.382329038301159,
      1.3823368633244424
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.1834651644069,
      10.995043106864594,
      10.796316132491244,
      10.588674577410359,
      10.373520570397483,
      10.152276865655088,
      9.926462132707897,
      9.697670786966478,
      9.467377686822275,
      9.236944936900755,
      9.007649272440855,
      8.780635122537491,
      8.556874746953412,
      8.337145414955115,
      8.122017700398597,
      7.911853248344741,
      7.7068136764599355,
      7.506878689740332,
      7.311870607209867,
      7.121482565268621,
      6.93530762999823,
      6.7528644152633435,
      6.5736250097756015,
      6.397042115193555,
      6.222571620380723,
      6.049692695736812,
      5.877922241498226,
      5.70682174571605,
      5.5360065231227145,
      5.365160437063253,
      5.194057528640317,
      5.022574337905622,
      4.8506971406019055,
      4.678520337770123,
      4.506224746602795,
      4.3340541979799925,
      4.162352539527001,
      3.9915670617931225,
      3.8222297697632364,
      3.6549226268056465,
      3.4902523045409417,
      3.328833241632693,
      3.1712729898073158,
      3.0181553029791104,
      2.870024531563819,
      2.727369264570992,
      2.590608233228293,
      2.4600843281574574,
      2.3360625017059515,
      2.218730695036927,
      2.10820349656686,
      2.0045278048459085,
      1.9076897117775569,
      1.8176220426768492,
      1.7342137092513241,
      1.6573210581286766,
      1.586772684092226,
      1.522375646734517,
      1.4639241787577328,
      1.4112038317182958,
      1.363997232524077,
      1.3220899105521327,
      1.2852710032942545,
      1.2533124897654278,
      1.2258960346568628,
      1.2026129887654866,
      1.1830024485647068,
      1.1665581767092226,
      1.1527943698557805,
      1.1413355148636346,
      1.131883503757209,
      1.124175671069188,
      1.117973845472419,
      1.1130666236060582,
      1.109270342935915,
      1.1064305347467702,
      1.1044175716334752,
      1.1031189418936747,
      1.102437175460275,
      1.1022877204988293,
      1.102596669252788,
      1.1032994087129757,
      1.104339879943607,
      1.105669459375384,
      1.1072459738341793,
      1.109032845879899,
      1.1109983517322604,
      1.1131149774603415,
      1.1153588605358205,
      1.1177093041034452,
      1.120147906720622,
      1.1226583518840763,
      1.1252266140576594,
      1.1278406419602243,
      1.1304900816739183,
      1.1331660388717837,
      1.1358608744167453,
      1.138568028713919,
      1.1412818709144101,
      1.1439975692685456,
      1.1467109795268364,
      1.1494185490858426,
      1.1521172347591444,
      1.1548044320293454,
      1.1574779143717158,
      1.1601357807522956,
      1.1627764104864462,
      1.1653984248114417,
      1.1680006535229146,
      1.1705821065095636,
      1.1731419490635842,
      1.1756794806661268,
      1.1781941165972274,
      1.180685372539337,
      1.1831528507215898,
      1.185596228545525,
      1.1880152485011801,
      1.1904097094571127,
      1.1927794592065484,
      1.1951243879510793,
      1.1974444230662318,
      1.1997395243256164,
      1.2020096793715407,
      1.2042549006961898,
      1.2064752220420047,
      1.2086706956397018,
      1.2108413903299573,
      1.2129873894972092,
      1.21510878911732,
      1.2172056964754163,
      1.2192782285343564,
      1.221326511121048,
      1.223350677963161,
      1.2253508694722746,
      1.2273272320352324,
      1.2292799175581108,
      1.2312090827531033,
      1.2331148887272598,
      1.234997500363337,
      1.2368570861029147,
      1.2386938175712492,
      1.2405078687895443,
      1.242299422552211,
      1.244068713991981,
      1.245816002932585,
      1.2475415378170602,
      1.249245557254136,
      1.2509282917441091,
      1.252589964417455,
      1.254230792160815,
      1.2558509867254362,
      1.2574507553109384,
      1.2590303011340371,
      1.2605898242375473,
      1.26212952187963,
      1.263649588860159,
      1.2651502177336937,
      1.2666315992148351,
      1.2680939222171899,
      1.2695373742382032,
      1.2709621416834602,
      1.272368409520595,
      1.2737563618905983,
      1.2751261821508828,
      1.2764780527576631,
      1.2778121550382309,
      1.279128669768745,
      1.2804277770322436,
      1.281709656069063,
      1.2829744854755996,
      1.2842224429887314,
      1.2854537059242737,
      1.2866684507435984,
      1.2878668535287214,
      1.2890490891792172,
      1.29021533202588,
      1.2913657558785903,
      1.2925005336096442,
      1.293619837188422,
      1.2947238378619796,
      1.2958127061258091,
      1.2968866116377016,
      1.297945723023555,
      1.2989902082364742,
      1.3000202342997684,
      1.3010359673490033,
      1.302037572363186,
      1.303025213398582,
      1.3039990537150472,
      1.3049592554393856,
      1.3059059794261836,
      1.3068393859271346,
      1.3077596339327038,
      1.3086668714546292,
      1.3095612133278727,
      1.3104427716779807,
      1.3113116642516816,
      1.3121680131877762,
      1.3130119448574076,
      1.3138435887386473,
      1.3146630770539556,
      1.3154705442543169,
      1.3162661261972328,
      1.3170499602893329,
      1.317822184711492,
      1.3185829384047918,
      1.3193323609522094,
      1.3200705921527112,
      1.32079777154158,
      1.321514038619824,
      1.3222195325717707,
      1.3229143921830846,
      1.3235987555521687,
      1.324272760103235,
      1.324936542443581,
      1.3255902384717648,
      1.3262339829229641,
      1.3268679097754716,
      1.327492152094653,
      1.3281068417207915,
      1.3287121092589111,
      1.3293080840141116,
      1.329894894279754,
      1.3304726672153517,
      1.3310415286706245,
      1.331601603209753,
      1.3321530140814546,
      1.332695883592933,
      1.3332303325654173,
      1.3337564803969957,
      1.3342744452239113,
      1.3347843439264868,
      1.3352862920304138,
      1.335780403808603,
      1.3362667924312093,
      1.3367455696044224,
      1.3372168453080568,
      1.3376807284966454,
      1.3381373270860355,
      1.3385867475305804,
      1.3390290949574228,
      1.3394644731454557,
      1.3398929847562935,
      1.3403147311049979,
      1.3407298120302904,
      1.3411383265251466,
      1.3415403720939074,
      1.3419360450226088,
      1.3423254403417533,
      1.3427086519396871,
      1.3430857723177814,
      1.3434568928521342,
      1.3438221039515839,
      1.3441814945526045,
      1.344535152375048,
      1.3448831641250965,
      1.3452256153403026,
      1.3455625904872173,
      1.3458941727520404,
      1.3462204440328285,
      1.3465414853875852,
      1.3468573766670833,
      1.3471681968580758,
      1.347474023611108,
      1.3477749335295353,
      1.3480710021517215,
      1.3483623042880308,
      1.348648913135337,
      1.3489309012719854,
      1.3492083400236272,
      1.349481299997599,
      1.3497498507003765,
      1.350014060662259,
      1.3502739972046587,
      1.3505297268671117,
      1.3507813151210606,
      1.3510288266925392,
      1.3512723253752128,
      1.3515118738929812,
      1.3517475340664942,
      1.3519793670293292,
      1.3522074327818767,
      1.3524317906087504,
      1.3526524986811586,
      1.3528696143702639,
      1.3530831944576613,
      1.3532932946329308,
      1.353499970109083,
      1.353703275117976,
      1.353903263167908,
      1.354099986689706,
      1.3542934972411413,
      1.3544838458629944,
      1.354671083078327,
      1.3548552582806075,
      1.3550364203415608,
      1.3552146172516975,
      1.3553898962177424,
      1.355562303860956,
      1.3557318859060057,
      1.355898687784434,
      1.3560627538134788,
      1.3562241279506562,
      1.3563828532760227,
      1.3565389723892014,
      1.3566925270429284,
      1.3568435585894247,
      1.3569921075615723,
      1.3571382139144998,
      1.357281917164851,
      1.3574232558681383,
      1.3575622680617865,
      1.357698991453126,
      1.3578334629456512,
      1.357965718876813,
      1.358095795102459,
      1.3582237267246684,
      1.3583495485819168,
      1.3584732975699745,
      1.3585950121160737,
      1.3587147290597437,
      1.3588324842457578,
      1.3589483123020527,
      1.3590622470779834,
      1.3591743217255956,
      1.3592845680681538,
      1.3593930173918718,
      1.3594997001686893,
      1.3596046461853608,
      1.3597078846209554,
      1.3598094439712975,
      1.3599093521760839,
      1.3600076363385765,
      1.360104323360228,
      1.360199439405011,
      1.3602930103296393,
      1.3603850612994677,
      1.3604756171160926,
      1.3605647022391996,
      1.3606523408082045,
      1.360738556002197,
      1.360823370976015,
      1.3609068082701972,
      1.3609888902376912,
      1.3610696390125974,
      1.361149075969968,
      1.3612272223549275,
      1.3613040990977665,
      1.361379726883057,
      1.3614541256589205,
      1.361527315417438,
      1.361599315601601,
      1.3616701454782203,
      1.361739823849406,
      1.3618083693231626,
      1.3618758002786748,
      1.3619421343733835,
      1.362007389473876,
      1.3620715830608678,
      1.3621347322442066,
      1.36219685398103,
      1.3622579646325155,
      1.36231808048655,
      1.3623772181786624,
      1.3624353934853375,
      1.362492621541018,
      1.3625489174614254,
      1.3626042964072858,
      1.3626587732920834,
      1.362712362489463,
      1.3627650784050445,
      1.362816935590354,
      1.3628679478395358,
      1.3629181288623258,
      1.362967491939586,
      1.3630160501380026,
      1.3630638165246076,
      1.3631108040760613,
      1.3631570255369259,
      1.3632024932269937,
      1.3632472194586507,
      1.3632912161401955,
      1.363334494938482,
      1.3633770674922105,
      1.3634189452181729,
      1.3634601396769335,
      1.3635006618194956,
      1.363540522505134,
      1.363579732408719,
      1.3636183022840167,
      1.3636562423622465,
      1.3636935629201496,
      1.3637302742376776,
      1.3637663859961802,
      1.3638019078460122,
      1.3638368494653679,
      1.3638712204158,
      1.3639050298958109,
      1.3639382869010557,
      1.363971000486198,
      1.3640031797215264,
      1.3640348330391945,
      1.3640659689523607,
      1.3640965961130902,
      1.3641267226073701,
      1.364156356572265,
      1.3641855058973327,
      1.364214178587285,
      1.3642423826159686,
      1.3642701256786232,
      1.3642974150964835,
      1.3643242584332447,
      1.3643506629416848,
      1.3643766355188494,
      1.3644021831186026,
      1.3644273129608642,
      1.3644520319779865,
      1.3644763466170053,
      1.3645002634044123,
      1.3645237887989665,
      1.3645469293495769,
      1.3645696912937533,
      1.3645920807661955,
      1.3646141037020287,
      1.3646357661469453,
      1.364657073753467,
      1.3646780326502599,
      1.3646986485824324,
      1.364718927018019,
      1.3647388734575938,
      1.3647584935405401,
      1.3647777923374607,
      1.3647967750665315,
      1.3648154469450966,
      1.364833813193958,
      1.3648518786347006,
      1.3648696483040332,
      1.3648871271526648,
      1.3649043197441448,
      1.3649212306655252,
      1.3649378645819794,
      1.3649542259861982,
      1.3649703195073242,
      1.3649861494569007,
      1.3650017201375655,
      1.365017035643075,
      1.3650321001668602,
      1.3650469179036604,
      1.3650614930020848,
      1.3650758293645195,
      1.3650899308028817,
      1.3651038013469365,
      1.3651174446371404,
      1.3651308644362987,
      1.3651440643273711,
      1.3651570480216102,
      1.3651698191072181,
      1.3651823808996635,
      1.3651947366478188,
      1.3652068900961714,
      1.3652188444195772,
      1.3652306027854373,
      1.365242168508857,
      1.3652535447500733,
      1.3652647345170466,
      1.3652757407187974,
      1.3652865664220089,
      1.3652972147517977,
      1.3653076884365156,
      1.3653179905220374,
      1.3653281238146655,
      1.3653380909342923,
      1.3653478945199493,
      1.3653575373845892,
      1.3653670222630014,
      1.365376351610525,
      1.3653855280120142,
      1.3653945539295114,
      1.3654034319078279,
      1.3654121643730237,
      1.3654207537361502,
      1.3654292022934014,
      1.3654375122280267,
      1.3654456858155388,
      1.3654537253238095
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183460116530089,
      10.995030421686556,
      10.796304776087805,
      10.588680433953341,
      10.373564237354385,
      10.15238218041304,
      9.92665723263734,
      9.697985608083181,
      9.46783557047291,
      9.237567869940092,
      9.008458258527082,
      8.781649966504832,
      8.558113654272077,
      8.338625179550759,
      8.123753875950609,
      7.913860376312058,
      7.709105601477936,
      7.509468917002497,
      7.314772657822264,
      7.124710294882281,
      6.93887564242705,
      6.756788440926264,
      6.577921714646597,
      6.401729061104383,
      6.227667111626863,
      6.055215508516662,
      5.883891918295823,
      5.713258441052107,
      5.542930506814091,
      5.372590622741441,
      5.202010284008571,
      5.031062724714824,
      4.859730063585704,
      4.688101742885273,
      4.516355668127786,
      4.344731275893346,
      4.173564189086218,
      4.00329375074249,
      3.8344446143653905,
      3.667594008558014,
      3.503344598068608,
      3.342307784624488,
      3.1850889117901287,
      3.0322707975649985,
      2.8843971961138366,
      2.74195779268936,
      2.605373836288619,
      2.474991595644125,
      2.3510800305796513,
      2.2338314884092787,
      2.1233651493109047,
      2.019732484256562,
      1.9229239883924745,
      1.8328766420234417,
      1.7494837722779049,
      1.6726053399268523,
      1.6020728607667507,
      1.5376959041099207,
      1.4792697078868924,
      1.4265812389496786,
      1.3794149539927127,
      1.3375576613697666,
      1.3007982581748103,
      1.2689010855942808,
      1.241532423592239,
      1.218272577702836,
      1.1986518351360171,
      1.1821565243088523,
      1.1683058187291913,
      1.1567324964764583,
      1.1471423377833887,
      1.1392741060647176,
      1.1328908642079127,
      1.1277826037774215,
      1.1237679926951007,
      1.12069454290456,
      1.1184346174943856,
      1.1168777164811452,
      1.1159279072874744,
      1.1155014285757088,
      1.1155250868231592,
      1.115935393057199,
      1.1166773096291005,
      1.1177031283057188,
      1.1189714965388895,
      1.1204465723626966,
      1.12209729164334,
      1.1238967321526676,
      1.1258215621331153,
      1.1278515623358647,
      1.1299692119806368,
      1.132159318441123,
      1.1344083778611622,
      1.1367044620663178,
      1.1390373336357662,
      1.1413982079424962,
      1.143779548674738,
      1.1461748923769859,
      1.1485786981723194,
      1.1509862177533492,
      1.1533933844823807,
      1.1557967177287616,
      1.1581932410930378,
      1.1605804118210248,
      1.162956060155817,
      1.165318337547753,
      1.167665671590564,
      1.1699967279052772,
      1.1723103770189367,
      1.1746056661766142,
      1.1768817946108412,
      1.1791380925789572,
      1.1813740036217522,
      1.1835890690954838,
      1.1857829144400687,
      1.1879552379227405,
      1.1901058004628011,
      1.1922344176900452,
      1.1943409520858244,
      1.1964253069735493,
      1.198487420618353,
      1.200527262105151,
      1.202544827003036,
      1.2045401339284916,
      1.2065132215433747,
      1.2084641460845211,
      1.2103929789118444,
      1.2122998045293938,
      1.2141847188716721,
      1.2160478282093545,
      1.21788924760397,
      1.219709099773994,
      1.221507514217788,
      1.223284626338063,
      1.2250405769221013,
      1.2267755111127379,
      1.2284895780889888,
      1.230182930591502,
      1.231855724495281,
      1.2335081184292649,
      1.2351402730863525,
      1.23675235134181,
      1.238344518264758,
      1.2399169403614394,
      1.2414697854737522,
      1.2430032227225674,
      1.2445174220887685,
      1.2460125543436174,
      1.2474887912269716,
      1.2489463050596759,
      1.2503852685524905,
      1.25180585486274,
      1.2532082373896822,
      1.254592589715847,
      1.255959085642996,
      1.2573078990690205,
      1.2586392037053216,
      1.2599531789924507,
      1.2612500407401894,
      1.262530016660346,
      1.2637933251126874,
      1.2650401763163546,
      1.2662707731372673,
      1.267485312419724,
      1.2686839855920562,
      1.2698669790054276,
      1.2710344749728226,
      1.2721866517290101,
      1.2733236841941746,
      1.2744457446261417,
      1.275553002399545,
      1.276645616757405,
      1.2777237115357707,
      1.278787403411622,
      1.279836814061002,
      1.280872069602542,
      1.2818932996858452,
      1.2829006372917433,
      1.2838942177184107,
      1.2848741786341498,
      1.2858406591111775,
      1.2867937997762549,
      1.2877337425010416,
      1.2886606297338676,
      1.2895746045402903,
      1.2904758106406231,
      1.2913643917320128,
      1.292240491722614,
      1.293104254097355,
      1.2939558221953396,
      1.2947953390258002,
      1.29562294713097,
      1.2964387886486044,
      1.297243004963663,
      1.2980357368139732,
      1.2988171240864945,
      1.299587305914908,
      1.3003464205190112,
      1.3010946054469357,
      1.3018319970000531,
      1.3025587307726887,
      1.3032749410689959,
      1.3039807613844023,
      1.304676324069228,
      1.3053617603447485,
      1.3060372002646472,
      1.306702772774476,
      1.307358606021876,
      1.3080048267988964,
      1.308641560947064,
      1.3092689327417044,
      1.3098870654935668,
      1.3104960812822362,
      1.3110961013477629,
      1.3116872454618376,
      1.3122696320585634,
      1.312843378412759,
      1.3134086009170038,
      1.3139654144910575,
      1.3145139329037456,
      1.3150542687867044,
      1.315586533797777,
      1.3161108380188709,
      1.3166272905714338,
      1.3171359992118794,
      1.3176370704838931,
      1.3181306100713197,
      1.3186167223858094,
      1.3190955105587645,
      1.319567076532265,
      1.3200315210966418,
      1.3204889441291168,
      1.3209394441182023,
      1.321383118244834,
      1.3218200625119667,
      1.322250372278954,
      1.3226741415730685,
      1.3230914631618256,
      1.3235024285212038,
      1.3239071285136874,
      1.3243056526403747,
      1.3246980892573768,
      1.3250845257899666,
      1.3254650484873292,
      1.3258397425819077,
      1.3262086921927951,
      1.3265719803287843,
      1.326929688889634,
      1.3272818987670072,
      1.3276286900964716,
      1.3279701416431209,
      1.3283063314060244,
      1.3286373364582194,
      1.3289632325815353,
      1.329284094764427,
      1.3295999968843537,
      1.3299110119480586,
      1.3302172120761406,
      1.3305186682825834,
      1.3308154505579055,
      1.331107628154297,
      1.3313952694624227,
      1.3316784417852505,
      1.3319572116190295,
      1.332231644475072,
      1.3325018049545392,
      1.3327677570254526,
      1.3330295632810008,
      1.3332872860786125,
      1.3335409865924082,
      1.3337907252378305,
      1.3340365612811476,
      1.3342785535157209,
      1.334516759920079,
      1.334751237874442,
      1.334982043562346,
      1.335209232591811,
      1.33543285959806,
      1.335652978557325,
      1.3358696427943664,
      1.336082904684015,
      1.3362928160635794,
      1.3364994277797144,
      1.336702790149765,
      1.336902952659269,
      1.337099964167171,
      1.3372938729066588,
      1.3374847262817233,
      1.3376725711205162,
      1.3378574536735977,
      1.3380394193571803,
      1.3382185128513158,
      1.3383947781463676,
      1.3385682587921564,
      1.338738997637768,
      1.338907037028379,
      1.3390724186453253,
      1.3392351833454315,
      1.3393953714571076,
      1.3395530228216261,
      1.3397081769353179,
      1.3398608723283765,
      1.3400111471635232,
      1.34015903891846,
      1.3403045843727526,
      1.3404478198992138,
      1.3405887815512572,
      1.3407275046411877,
      1.3408640238771923,
      1.3409983736522615,
      1.341130587824058,
      1.3412606996976684,
      1.341388742109418,
      1.3415147474084081,
      1.341638747335866,
      1.34176077315803,
      1.341880855798715,
      1.3419990257677745,
      1.3421153129874737,
      1.3422297467708841,
      1.3423423562064813,
      1.342453170084695,
      1.3425622164680897,
      1.3426695230237011,
      1.3427751171515583,
      1.3428790256041498,
      1.3429812748175147,
      1.343081891038367,
      1.343180899942307,
      1.3432783267602182,
      1.3433741964551118,
      1.343468533440602,
      1.3435613620112952,
      1.3436527058572092,
      1.34374258844235,
      1.343831032976184,
      1.343918062079515,
      1.3440036981111305,
      1.344087963087264,
      1.3441708786514897,
      1.3442524661967523,
      1.3443327470382744,
      1.3444117418739459,
      1.344489470956383,
      1.344565954213653,
      1.3446412113188393,
      1.3447152618610339,
      1.3447881251093148,
      1.3448598197254502,
      1.3449303640864991,
      1.3449997765563921,
      1.3450680750958721,
      1.3451352774827556,
      1.3452014011758346,
      1.3452664633309583,
      1.3453304808678284,
      1.345393470383903,
      1.3454554483222938,
      1.3455164307834617,
      1.3455764333366367,
      1.3456354715427437,
      1.3456935611214067,
      1.3457507169479261,
      1.3458069540843527,
      1.3458622871828532,
      1.3459167307535163,
      1.3459702986688709,
      1.3460230049905286,
      1.3460748634732436,
      1.3461258876793125,
      1.3461760907874267,
      1.3462254859098668,
      1.3462740861044378,
      1.346321903877684,
      1.3463689516540203,
      1.34641524188879,
      1.3464607867743503,
      1.3465055983019592,
      1.3465496881200503,
      1.3465930680026172,
      1.3466357491475518,
      1.3466777425939265,
      1.346719059435281,
      1.3467597107788283,
      1.3467997071450148,
      1.3468390588330847,
      1.3468777762864317,
      1.3469158695424466,
      1.3469533486993632,
      1.3469902238235807,
      1.3470265046534706,
      1.3470622005064519,
      1.3470973206941987,
      1.3471318745310212,
      1.3471658712405195,
      1.3471993196076897,
      1.3472322282411369,
      1.3472646057843212,
      1.347296460974022,
      1.3473278022921618,
      1.3473586377190137,
      1.3473889756559367,
      1.3474188240171967,
      1.3474481907457774,
      1.347477083413423,
      1.3475055097870365,
      1.3475334773268148,
      1.3475609933964159,
      1.3475880652185668,
      1.3476147000850298,
      1.3476409049560563,
      1.3476666867209286,
      1.3476920520515294,
      1.3477170079168779,
      1.3477415608262924,
      1.347765717140382,
      1.3477894831275188,
      1.347812865071123,
      1.3478358694278774,
      1.3478585022229677,
      1.3478807695641386,
      1.347902677240089,
      1.347924230827368,
      1.3479454359495813,
      1.3479662984858924,
      1.3479868237623156,
      1.348007017166815,
      1.3480268841540235,
      1.3480464301483674,
      1.348065660141851,
      1.3480845793598089,
      1.3481031926549887,
      1.348121505071464,
      1.3481395214420597,
      1.3481572465961418,
      1.3481746850586176,
      1.3481918415626126,
      1.3482087205957938,
      1.3482253266077822,
      1.348241664217501,
      1.3482577377086533,
      1.348273551186026,
      1.3482891087825664,
      1.3483044147647414,
      1.348319473281902,
      1.348334288319127,
      1.3483488637515426,
      1.3483632035003397,
      1.3483773113835653,
      1.3483911909160455,
      1.3484048460754785,
      1.3484182802884408,
      1.3484314972983833,
      1.3484445003039431,
      1.3484572929282739,
      1.3484698786118765,
      1.3484822605137752,
      1.3484944421247569,
      1.3485064266599742,
      1.3485182173161154,
      1.3485298172741746,
      1.348541229549687,
      1.3485524573005414,
      1.3485635034227295,
      1.3485743708072493,
      1.348585062240915,
      1.3485955807649086,
      1.3486059290160484,
      1.348616109788722,
      1.3486261257828525,
      1.348635979606465,
      1.3486456737777892,
      1.3486552109818215,
      1.3486645938183859,
      1.348673824702592,
      1.3486829063248313,
      1.3486918408391715,
      1.348700630730033,
      1.3487092783564685,
      1.3487177859034074,
      1.3487261555361483,
      1.348734389605715,
      1.3487424905491627,
      1.3487504604847484,
      1.348758301620744
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183456959442667,
      10.995024052399977,
      10.796306643951409,
      10.588708679021302,
      10.37364145658734,
      10.152533954259834,
      9.926913139953662,
      9.698375741366622,
      9.468383286605158,
      9.238295825277755,
      9.009388128941236,
      8.782802090847307,
      8.559506663241457,
      8.340276227007509,
      8.125678837999718,
      7.916074113618982,
      7.711622303598916,
      7.5123024808578025,
      7.317937058971863,
      7.128219916199389,
      6.942745706090231,
      6.761035401011918,
      6.582563022019459,
      6.4067831062879534,
      6.233153047657598,
      6.0611529518623355,
      5.890301037458172,
      5.720160239195897,
      5.550346085697163,
      5.380539609414749,
      5.210509557536021,
      5.040125586190878,
      4.869365353629903,
      4.698313014680401,
      4.527142730094689,
      4.356089882989705,
      4.185481357685571,
      4.015748057795232,
      3.847406833918254,
      3.6810298755888935,
      3.517215543735078,
      3.356572044737184,
      3.1997023688671695,
      3.047188272979743,
      2.8995728823472753,
      2.757347004767605,
      2.6209345917186053,
      2.4906855248639115,
      2.366873045016081,
      2.24969420652693,
      2.1392730947861422,
      2.03566605856834,
      1.9388683084264056,
      1.8488212860573603,
      1.7654230080399187,
      1.6885372664111225,
      1.617998699270542,
      1.5536196898931354,
      1.495196673288992,
      1.4425183440948848,
      1.3953707411167537,
      1.3535419921490686,
      1.316820520094933,
      1.2849625593363136,
      1.2576190592542646,
      1.234361120024593,
      1.2147094357082546,
      1.1981427739726294,
      1.184186497056447,
      1.1724818005383133,
      1.162737855222503,
      1.15469488200962,
      1.1481167351184867,
      1.1427951992913818,
      1.13855121755448,
      1.135234241879729,
      1.132718743007235,
      1.1308958980562196,
      1.1296706873025355,
      1.1289600904146253,
      1.1286920911516,
      1.128804289197181,
      1.129242621312228,
      1.1299602517062406,
      1.1309166087234717,
      1.1320765497004543,
      1.1334096362691557,
      1.1348895065758364,
      1.1364933307689582,
      1.1382013392993529,
      1.1399964142718364,
      1.1418637353906285,
      1.1437904728799377,
      1.1457655217640013,
      1.1477792690041357,
      1.1498231954526394,
      1.151889788334339,
      1.15397261094513,
      1.1560661513461272,
      1.1581656914855083,
      1.160267195436454,
      1.162367213342608,
      1.1644627988116347,
      1.1665514382324935,
      1.1686309901087149,
      1.1706996324148995,
      1.1727558182377236,
      1.1747982369764536,
      1.1768257811858014,
      1.1788375183406217,
      1.1808326663524913,
      1.1828105729483323,
      1.1847706970930654,
      1.1867125938487901,
      1.1886359010157983,
      1.1905403276845954,
      1.1924256441710228,
      1.1942916740284477,
      1.196138286292741,
      1.197965389574499,
      1.1997729263600156,
      1.2015608686315782,
      1.2033292136798197,
      1.2050779806611347,
      1.2068072075890832,
      1.2085169492128895,
      1.210207274304068,
      1.2118782639747636,
      1.2135300100078403,
      1.2151626132468354,
      1.2167761828062134,
      1.2183708346258038,
      1.219946690536676,
      1.221503877481646,
      1.223042526990454,
      1.2245627746037964,
      1.2260647592963625,
      1.2275486227454244,
      1.2290145091559432,
      1.2304625647774083,
      1.2318929379258896,
      1.2333057781881038,
      1.2347012367403631,
      1.2360794659506824,
      1.2374406189766682,
      1.2387848495613567,
      1.2401123121800575,
      1.241423161775063,
      1.2427175498228487,
      1.2439955961764224,
      1.24525740654339,
      1.246503094162813,
      1.247732778900799,
      1.2489465860954434,
      1.2501446461158836,
      1.25132709321045,
      1.2524940650667937,
      1.253645702371467,
      1.2547821482155268,
      1.2559035475999385,
      1.257010047243585,
      1.258101795185208,
      1.2591789405855247,
      1.2602416332206219,
      1.2612900237347735,
      1.2623242631771086,
      1.2633445023819543,
      1.2643508926669353,
      1.2653435850518686,
      1.26632273054149,
      1.2672884796915447,
      1.2682409826788619,
      1.2691803890616782,
      1.2701068478913498,
      1.2710205077177057,
      1.2719215166407432,
      1.2728100217986331,
      1.2736861697662913,
      1.2745501058814865,
      1.275401975092112,
      1.2762419211205653,
      1.277070086742697,
      1.2778866138586198,
      1.2786916459499282,
      1.2794853447790635,
      1.2802678804506713,
      1.2810394171553745,
      1.281800113553845,
      1.2825501233545362,
      1.283289596086655,
      1.2840186773054623,
      1.2847375092484437,
      1.2854462306200016,
      1.2861449770819293,
      1.2868338816868936,
      1.287513074848734,
      1.28818268486707,
      1.2888428377348502,
      1.2894936574500704,
      1.290135266017491,
      1.290767783802336,
      1.2913913293713277,
      1.2920060197875398,
      1.2926119705963934,
      1.2932092955536512,
      1.2937981070110902,
      1.2943785162476857,
      1.2949506330349307,
      1.2955145658601106,
      1.2960704217393675,
      1.2966183067399657,
      1.2971583254314623,
      1.29769058135107,
      1.2982151769578731,
      1.2987322136351196,
      1.2992417913337893,
      1.2997440090273475,
      1.3002389646550696,
      1.3007267548597616,
      1.3012074751803344,
      1.3016812202930068,
      1.3021480837925334,
      1.3026081579708688,
      1.3030615343057228,
      1.3035083033364554,
      1.3039485544361968,
      1.3043823757853021,
      1.304809854800063,
      1.3052310778475074,
      1.3056461301108147,
      1.3060550960119706,
      1.3064580589713461,
      1.3068551011145562,
      1.3072463041470197,
      1.3076317485484032,
      1.3080115137825739,
      1.3083856784036383,
      1.3087543200587373,
      1.3091175153872194,
      1.3094753402233652,
      1.3098278694413434,
      1.3101751769002075,
      1.3105173357433022,
      1.3108544179839796,
      1.3111864949035068,
      1.3115136368370777,
      1.3118359132634025,
      1.312153393045568,
      1.312466143907511,
      1.312774232824386,
      1.3130777259538913,
      1.313376688515284,
      1.3136711847686549,
      1.3139612782469878,
      1.3142470317328336,
      1.314528507182662,
      1.3148057659551617,
      1.315078868326408,
      1.3153478739700333,
      1.3156128418256223,
      1.3158738300680919,
      1.316130895922945,
      1.3163840959890958,
      1.3166334860010371,
      1.3168791210984048,
      1.3171210554841613,
      1.3173593430990391,
      1.317594036514632,
      1.3178251881651573,
      1.3180528494419101,
      1.3182770712617995,
      1.3184979035666697,
      1.3187153958388578,
      1.3189295969038235,
      1.3191405549353024,
      1.3193483176630378,
      1.319552931664113,
      1.319754443280747,
      1.3199528979606094,
      1.3201483408169878,
      1.320340816018219,
      1.3205303672952506,
      1.320717037736297,
      1.3209008699875113,
      1.3210819059954295,
      1.3212601871044212,
      1.3214357538990067,
      1.3216086465031271,
      1.3217789046244772,
      1.3219465674963677,
      1.3221116735137641,
      1.322274260631538,
      1.3224343664567146,
      1.3225920279334145,
      1.3227472813828973,
      1.3229001627464387,
      1.323050707573404,
      1.3231989506525772,
      1.3233449262532178,
      1.3234886682634817,
      1.3236302102776871,
      1.3237695852761813,
      1.3239068256605109,
      1.3240419634405713,
      1.3241750301159503,
      1.3243060567603233,
      1.3244350740543047,
      1.3245621120635016,
      1.324687200728109,
      1.3248103692330326,
      1.3249316465473127,
      1.3250510613018727,
      1.3251686415650485,
      1.325284414922908,
      1.3253984087114374,
      1.325510649790639,
      1.325621164572498,
      1.3257299791500599,
      1.3258371194262375,
      1.3259426106826744,
      1.326046477911156,
      1.3261487457885062,
      1.3262494383966479,
      1.3263485796034873,
      1.3264461931383165,
      1.3265423020564644,
      1.3266369293733473,
      1.3267300974775307,
      1.3268218286621953,
      1.326912144791825,
      1.3270010671208998,
      1.3270886167733418,
      1.3271748147639135,
      1.3272596818159965,
      1.3273432382299408,
      1.3274255039544252,
      1.3275064988100873,
      1.3275862420516027,
      1.3276647526922758,
      1.3277420496249295,
      1.3278181513355651,
      1.3278930761254595,
      1.3279668420784985,
      1.3280394669776199,
      1.328110968169917,
      1.328181362685642,
      1.3282506676112933,
      1.3283188996488071,
      1.328386075183008,
      1.3284522102470138,
      1.3285173210468308,
      1.3285814231635413,
      1.328644532026498,
      1.3287066630811906,
      1.328767831244956,
      1.3288280515321105,
      1.3288873383566042,
      1.3289457059531766,
      1.3290031682895673,
      1.3290597394873496,
      1.3291154332760517,
      1.3291702632101945,
      1.3292242426826286,
      1.3292773846323624,
      1.3293297019641885,
      1.329381207357815,
      1.32943191333123,
      1.3294818321001738,
      1.3295309757936724,
      1.3295793565165432,
      1.3296269859543879,
      1.3296738754357864,
      1.3297200366046231,
      1.3297654810244683,
      1.3298102196810329,
      1.3298542630946106,
      1.329897621940722,
      1.3299403068570035,
      1.3299823283008463,
      1.3300236964069159,
      1.3300644215057,
      1.330104513522949,
      1.3301439822437635,
      1.3301828371184399,
      1.3302210876276426,
      1.330258743393402,
      1.3302958135778835,
      1.3303323070956936,
      1.3303682328767537,
      1.330403599569716,
      1.330438415957279,
      1.3304726904558244,
      1.3305064317339959,
      1.330539648008788,
      1.3305723471552693,
      1.3306045370192734,
      1.3306362255774944,
      1.3306674208434095,
      1.330698130366278,
      1.3307283617470163,
      1.3307581223911396,
      1.3307874197192986,
      1.3308162608183,
      1.330844652803946,
      1.3308726026243183,
      1.3309001170664445,
      1.330927202813629,
      1.3309538665535188,
      1.3309801147810483,
      1.3310059539572052,
      1.3310313905151423,
      1.3310564307137207,
      1.3310810805417541,
      1.331105346537567,
      1.3311292344217318,
      1.3311527500690323,
      1.331175899157922,
      1.3311986876846729,
      1.3312211209516034,
      1.3312432043860618,
      1.331264943596441,
      1.3312863436143993,
      1.3313074098153315,
      1.331328147465585,
      1.3313485617274659,
      1.3313686577658705,
      1.3313884404479173,
      1.331407914602003,
      1.3314270850221863,
      1.3314459563711682,
      1.331464533388069,
      1.3314828206893947,
      1.3315008225700231,
      1.3315185435158456,
      1.3315359878519681,
      1.3315531601537263,
      1.33157006469142,
      1.3315867056887845,
      1.3316030870216249,
      1.3316192125776616,
      1.3316350863617996,
      1.331650712550814,
      1.3316660949887014,
      1.3316812373936984,
      1.3316961434125862,
      1.3317108168785343,
      1.3317252613060206,
      1.3317394803011093,
      1.3317534774629878,
      1.3317672559804576,
      1.3317808193471845,
      1.331794171008738,
      1.3318073143150897,
      1.3318202525237341,
      1.331832988650079,
      1.3318455257755275,
      1.331857867101228,
      1.331870015595018,
      1.3318819745028894,
      1.3318937465889602,
      1.3319053346467726,
      1.331916741654583,
      1.3319279704728646,
      1.3319390238469613,
      1.3319499048675831,
      1.3319606160071038,
      1.331971159935833,
      1.3319815393209713,
      1.331991756574836,
      1.3320018141114691,
      1.3320117145523116,
      1.3320214604234324,
      1.332031054056232,
      1.3320404979456504,
      1.3320497943455665,
      1.3320589455252472,
      1.3320679538731854,
      1.3320768216450078,
      1.332085550965621,
      1.332094143576795,
      1.3321026017544373,
      1.3321109277003043,
      1.3321191235440804,
      1.332127191294449,
      1.3321351329936229
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183455581947912,
      10.99502359964303,
      10.796320899982765,
      10.588757897833851,
      10.373749795252838,
      10.152728539503952,
      9.927224989191805,
      9.698836014592398,
      9.469016141223763,
      9.23912451040412,
      9.010434738893291,
      8.784087247909195,
      8.561049161145643,
      8.342093346365028,
      8.127786556767685,
      7.918487400877983,
      7.714355492485841,
      7.515369669016837,
      7.321352493975307,
      7.131998330354941,
      6.946902671396576,
      6.765587830729047,
      6.587528983240084,
      6.412181646114989,
      6.239003993996219,
      6.06747658759672,
      5.897118041091192,
      5.72749190453903,
      5.5582141897723805,
      5.3889643462791295,
      5.219508187776565,
      5.049711546491965,
      4.879547348049284,
      4.709094165328056,
      4.538522195222077,
      4.3680626052531375,
      4.198033886952619,
      4.028857214294217,
      3.8610412194304518,
      3.695152810222022,
      3.5317858056834965,
      3.371545005592549,
      3.215030956887388,
      3.0628242599006974,
      2.9154675092544,
      2.773452473818763,
      2.637205953004511,
      2.507081634638312,
      2.3833572738558226,
      2.266234893091978,
      2.155843759384638,
      2.0522453794138635,
      1.955439954181971,
      1.8653739701753727,
      1.7819503630207119,
      1.7050366458212953,
      1.6344707677888017,
      1.57006757179543,
      1.5116250053575908,
      1.458934130311706,
      1.411782516363462,
      1.3699596507124552,
      1.3332530829194322,
      1.301407194120647,
      1.2740607682245166,
      1.2507782769780467,
      1.231070846209461,
      1.2144093353625114,
      1.2003267122950838,
      1.1884722094914557,
      1.1785576710636338,
      1.170324381575768,
      1.1635370356373214,
      1.157989405064545,
      1.1535046955594261,
      1.1499344035272454,
      1.1471545727796864,
      1.1450575561279017,
      1.1435490948298228,
      1.1425473686971406,
      1.141981510269433,
      1.1417901468492884,
      1.1419201344187417,
      1.1423254592817782,
      1.142966285184281,
      1.143808126683321,
      1.1448211331997786,
      1.1459794684612064,
      1.1472607722548265,
      1.148645695102897,
      1.1501174946695631,
      1.1516616862448064,
      1.153265740228995,
      1.1549188201684963,
      1.1566115559182133,
      1.1583358472728904,
      1.160084693966218,
      1.1618520483859895,
      1.16363268815517,
      1.165422105913576,
      1.1672164135125356,
      1.1690122593860335,
      1.1708067168339205,
      1.1725972233451094,
      1.174381590761281,
      1.1761579589903755,
      1.1779247497655478,
      1.1796806267249285,
      1.1814244613875335,
      1.183155303490313,
      1.1848723563992567,
      1.1865749552113485,
      1.188262548324433,
      1.1899346817313559,
      1.1915909847902972,
      1.193231159126901,
      1.1948549681050868,
      1.1964622282739061,
      1.1980528022673618,
      1.1996265919751536,
      1.201183533041614,
      1.2027235776623642,
      1.20424667760329,
      1.205752805933221,
      1.2072419590443053,
      1.2087141536166268,
      1.2101694240661816,
      1.2116078199125764,
      1.2130294038759382,
      1.2144342504460888,
      1.215822443904077,
      1.2171940770649856,
      1.2185492504345568,
      1.2198880710666524,
      1.221210651678818,
      1.2225171099236405,
      1.2238075672036342,
      1.2250821487583101,
      1.2263409827335725,
      1.22758420026792,
      1.2288119345089115,
      1.2300243205943207,
      1.231221495172871,
      1.2324035962782616,
      1.233570763149412,
      1.2347231356403738,
      1.2358608542877372,
      1.2369840602214695,
      1.238092895123056,
      1.2391875006707693,
      1.2402680187436865,
      1.241334591316275,
      1.242387360196085,
      1.2434264670112816,
      1.2444520530920775,
      1.2454642595509362,
      1.246463227155052,
      1.2474490961943583,
      1.2484220064975453,
      1.2493820974945873,
      1.2503295079186716,
      1.2512643759106676,
      1.2521868392208904,
      1.2530970346945456,
      1.2539950983629886,
      1.2548811659374406,
      1.2557553719763777,
      1.2566178503706038,
      1.2574687344684816,
      1.2583081567899446,
      1.2591362486858546,
      1.2599531408573974,
      1.2607589629561031,
      1.2615538438918854,
      1.2623379116285236,
      1.263111293433116,
      1.2638741154096984,
      1.2646265026391421,
      1.2653685795696434,
      1.2661004694881235,
      1.2668222948017254,
      1.2675341768578876,
      1.2682362360151538,
      1.268928591608598,
      1.269611362064495,
      1.270284665011578,
      1.2709486169312838,
      1.2716033331098477,
      1.2722489279428717,
      1.2728855147279865,
      1.2735132057596847,
      1.2741321124210192,
      1.2747423449159732,
      1.2753440126600677,
      1.2759372240069535,
      1.276522086277281,
      1.277098705580837,
      1.2776671870938352,
      1.2782276348243282,
      1.2787801520872855,
      1.2793248408070708,
      1.2798618020885488,
      1.2803911361752154,
      1.280912941845582,
      1.2814273171288058,
      1.28193435920438,
      1.2824341641976305,
      1.2829268269726708,
      1.2834124415840875,
      1.2838911009123946,
      1.2843628969075203,
      1.2848279205755615,
      1.2852862618615968,
      1.285738009886432,
      1.2861832525706833,
      1.286622076917804,
      1.287054569193332,
      1.2874808143900873,
      1.287900896606691,
      1.2883148991187472,
      1.2887229040922477,
      1.2891249927526043,
      1.2895212456024718,
      1.2899117421293826,
      1.2902965607657675,
      1.2906757789485819,
      1.2910494734315225,
      1.2914177199850518,
      1.2917805936037159,
      1.2921381680500788,
      1.2924905165159786,
      1.2928377114176335,
      1.2931798236805152,
      1.293516923802403,
      1.293849081338217,
      1.2941763649429991,
      1.2944988427692037,
      1.2948165817438264,
      1.2951296478609047,
      1.2954381067269092,
      1.2957420229859904,
      1.2960414603539883,
      1.296336481905547,
      1.2966271498001478,
      1.2969135253120865,
      1.2971956691132596,
      1.2974736408936214,
      1.2977474997939842,
      1.2980173042782799,
      1.2982831118011908,
      1.2985449791863315,
      1.298802962545795,
      1.2990571172999996,
      1.299307502214999,
      1.2995541803404445,
      1.2997972128294244,
      1.300036659115021,
      1.300272576779278,
      1.300505021572387,
      1.3007340477858502,
      1.3009597081148672,
      1.301182054027593,
      1.3014011358784197,
      1.3016170029180592,
      1.3018297034039106,
      1.302039284149549,
      1.3022457912932859,
      1.3024492703028354,
      1.302649765470145,
      1.3028473205749571,
      1.3030419784792229,
      1.3032337812799504,
      1.3034227704609587,
      1.303608986484344,
      1.3037924695505374,
      1.3039732596458777,
      1.3041513955213364,
      1.3043269152977186,
      1.304499856713945,
      1.304670256611507,
      1.3048381519442762,
      1.3050035784987788,
      1.3051665720042032,
      1.3053271676650864,
      1.3054853999986682,
      1.3056413029764393,
      1.3057949102159454,
      1.3059462547651581,
      1.3060953691913115,
      1.3062422858216376,
      1.306387036169892,
      1.3065296515319644,
      1.3066701627162693,
      1.3068085999769843,
      1.306944993353668,
      1.3070793724509306,
      1.3072117664209468,
      1.3073422039963727,
      1.3074707135227372,
      1.307597322990196,
      1.3077220599633106,
      1.3078449514592243,
      1.3079660242830935,
      1.3080853048545318,
      1.3082028191353197,
      1.3083185929126164,
      1.3084326516240605,
      1.3085450202842819,
      1.3086557232582097,
      1.3087647847966744,
      1.3088722288088255,
      1.3089780790919077,
      1.3090823588488039,
      1.3091850909168805,
      1.3092862978948787,
      1.3093860019132164,
      1.3094842249125653,
      1.3095809887695329,
      1.3096763148626547,
      1.3097702241975,
      1.3098627372767433,
      1.3099538747838293,
      1.3100436567913913,
      1.310132103240899,
      1.310219233557236,
      1.3103050668730742,
      1.310389622456609,
      1.310472919274367,
      1.3105549755029329,
      1.3106358095150314,
      1.310715439593979,
      1.3107938832919674,
      1.310871158059354,
      1.3109472810597682,
      1.3110222690867361,
      1.311096138886799,
      1.3111689070756571,
      1.3112405900032786,
      1.311311203618567,
      1.3113807636389438,
      1.311449285567107,
      1.3115167848091143,
      1.3115832763855264,
      1.3116487750490176,
      1.3117132955034665,
      1.3117768523177713,
      1.3118394595850245,
      1.311901131344451,
      1.3119618813417753,
      1.3120217233997515,
      1.3120806710257609,
      1.3121387373751527,
      1.3121959356210633,
      1.3122522788157063,
      1.3123077793444171,
      1.3123624495998654,
      1.3124163021477313,
      1.3124693490784292,
      1.3125216023250412,
      1.3125730737265642,
      1.3126237749893905,
      1.312673717496037,
      1.3127229123169868,
      1.3127713707308903,
      1.3128191036258245,
      1.3128661215615136,
      1.3129124352889412,
      1.312958055252892,
      1.3130029919079087,
      1.313047255423884,
      1.313090855645781,
      1.3131338025107584,
      1.3131761057531288,
      1.3132177750162768,
      1.313258819608202,
      1.3132992491215645,
      1.3133390726296297,
      1.313378299051762,
      1.313416937162568,
      1.3134549957026709,
      1.3134924834385449,
      1.3135294089680951,
      1.3135657805768906,
      1.313601606450093,
      1.3136368947826078,
      1.313671653583997,
      1.313705890839335,
      1.3137396144156581,
      1.3137728318665092,
      1.31380555069401,
      1.3138377783056518,
      1.3138695221236607,
      1.3139007893890833,
      1.3139315871182806,
      1.313961922567979,
      1.313991802530419,
      1.3140212336455739,
      1.3140502225095771,
      1.314078775885014,
      1.3141069003517043,
      1.314134602465949,
      1.3141618884111739,
      1.3141887645129071,
      1.3142152368890647,
      1.3142413116088454,
      1.3142669945462955,
      1.3142922915388089,
      1.314317208494859,
      1.3143417508912714,
      1.314365924185737,
      1.3143897340767159,
      1.3144131859496113,
      1.314436285136651,
      1.3144590371764915,
      1.3144814472603923,
      1.3145035205426632,
      1.3145252620949905,
      1.3145466767081044,
      1.3145677693035052,
      1.3145885447350805,
      1.3146090077939123,
      1.3146291631623008,
      1.3146490154184753,
      1.3146685690920965,
      1.314687828668811,
      1.3147067982895644,
      1.314725482365225,
      1.314743885530169,
      1.3147620119347938,
      1.3147798655039695,
      1.3147974504497566,
      1.314814770970421,
      1.3148318309494242,
      1.314848634315457,
      1.314865184893742,
      1.314881486257261,
      1.3148975424426228,
      1.3149133570892646,
      1.3149289336465328,
      1.3149442758859684,
      1.3149593871419822,
      1.314974270925631,
      1.3149889306229965,
      1.3150033695493784,
      1.3150175910543855,
      1.3150315984744783,
      1.3150453950345398,
      1.3150589841562876,
      1.315072368902152,
      1.3150855521310274,
      1.3150985368572519,
      1.3151113259991059,
      1.3151239225344724,
      1.3151363294020544,
      1.3151485496569606,
      1.3151605858124076,
      1.3151724406053464,
      1.3151841169991627,
      1.3151956175762047,
      1.3152069449981925,
      1.315218101652826,
      1.3152290901648112,
      1.3152399131951191,
      1.3152505731383153,
      1.315261072430232,
      1.3152714134485786,
      1.315281598820679,
      1.3152916306629598,
      1.3153015112444035,
      1.315311242887062,
      1.3153208278666457,
      1.3153302685673864,
      1.31533956707744,
      1.3153487256489045,
      1.3153577462421118,
      1.3153666307820917,
      1.3153753813638076,
      1.3153840001525843,
      1.3153924889284125,
      1.315400849850813,
      1.315409084647083,
      1.3154171954787357,
      1.315425184078936,
      1.3154330523646185,
      1.3154408022858586
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183455811298519,
      10.995028460857531,
      10.796346283003555,
      10.588825836828246,
      10.373886152401951,
      10.15296162118981,
      9.927588581612474,
      9.699361980343951,
      9.469729154915628,
      9.240048150806695,
      9.011591273249964,
      8.785497274401532,
      8.562731428155864,
      8.344065052938642,
      8.130063584859334,
      7.921084640737711,
      7.717287240497214,
      7.5186500477739635,
      7.32499584922167,
      7.136019568885101,
      6.951317514600522,
      6.770413447080596,
      6.592783862574335,
      6.417885294765519,
      6.245176713705982,
      6.074139124266055,
      5.904291519911121,
      5.735198047220237,
      5.566475227665607,
      5.3978008405593165,
      5.22893760960066,
      5.059747335610112,
      4.8901979843182675,
      4.720362302563818,
      4.550406410450083,
      4.380557151734735,
      4.211124373168845,
      4.0425192536588685,
      3.8752418294906796,
      3.709853290603022,
      3.5469427437286107,
      3.3871114225348027,
      3.230957281898789,
      3.0790596708612497,
      2.9319608469396417,
      2.790153279415375,
      2.6540667124133877,
      2.524058780342709,
      2.4004119300570856,
      2.2833333572338397,
      2.1729577333878884,
      2.0693519528555333,
      1.9725214361609607,
      1.882417951940755,
      1.798949568867018,
      1.7219876906537999,
      1.6513737377516644,
      1.586924668904795,
      1.5284403289938056,
      1.4757144739966677,
      1.4285362713023035,
      1.3866966041833093,
      1.3499819463606142,
      1.3181247781722005,
      1.2907524785075337,
      1.2674223854194009,
      1.247637108535296,
      1.2308623697386414,
      1.2166372822263007,
      1.2046179416605196,
      1.1945188471406183,
      1.186082082294178,
      1.1790732826578454,
      1.1732885932384016,
      1.1685536522815985,
      1.1647215318066289,
      1.161669423651029,
      1.1592904787535343,
      1.1574917478530267,
      1.1561926368547109,
      1.1553233740571534,
      1.1548235658927857,
      1.1546409432146911,
      1.1547302737744096,
      1.155052418940893,
      1.1555735160776353,
      1.1562642704771218,
      1.1570993416257611,
      1.1580568117444017,
      1.1591177258938095,
      1.160265693313877,
      1.1614865427870447,
      1.16276802432327,
      1.1640995502885672,
      1.165471972104318,
      1.166877386813742,
      1.1683089696374616,
      1.1697608289343062,
      1.1712278810364312,
      1.1727057414422013,
      1.174190630861066,
      1.1756792942729117,
      1.1771689306778244,
      1.1786571316870222,
      1.180141829055038,
      1.181621249232616,
      1.1830938738968622,
      1.1845584055781515,
      1.18601373822414,
      1.1874589314298796,
      1.188893188342533,
      1.190315836490918,
      1.19172631135544,
      1.193124141582741,
      1.1945089365837316,
      1.1958803759859158,
      1.1972382001082946,
      1.1985822019017625,
      1.1999122197307581,
      1.2012281315445226,
      1.2025298492581684,
      1.2038173146575077,
      1.205090495091299,
      1.2063493799612346,
      1.2075939780557103,
      1.2088243146539506,
      1.2100404297703107,
      1.2112423753989139,
      1.2124302145526855,
      1.2136040195004727,
      1.214763870471659,
      1.2159098544193596,
      1.2170420643997362,
      1.218160598396643,
      1.2192655585564807,
      1.2203570508319597,
      1.2214351844240332,
      1.2225000713263492,
      1.22355182566632,
      1.224590563198093,
      1.2256164013537167,
      1.2266294589369595,
      1.2276298556625667,
      1.2286177121004946,
      1.2295931495667043,
      1.2305562897064903,
      1.2315072542782521,
      1.2324461650867122,
      1.2333731440655145,
      1.2342883133567168,
      1.2351917949297013,
      1.2360837103999909,
      1.2369641810482013,
      1.2378333278861977,
      1.2386912717710192,
      1.2395381327016373,
      1.2403740304342774,
      1.2411990840775031,
      1.2420134119884663,
      1.2428171320729187,
      1.2436103616238428,
      1.24439321725853,
      1.2451658148522753,
      1.2459282695703553,
      1.2466806956422944,
      1.2474232067937723,
      1.2481559162177942,
      1.248878935983327,
      1.2495923774575874,
      1.2502963512166787,
      1.2509909669528394,
      1.2516763336330832,
      1.2523525594002451,
      1.2530197515221093,
      1.2536780164389572,
      1.2543274597065648,
      1.254968185783576,
      1.2556002985786774,
      1.2562239011304783,
      1.2568390952337472,
      1.2574459823340522,
      1.2580446629958926,
      1.2586352364699371,
      1.2592178012235165,
      1.259792454909034,
      1.2603592943297917,
      1.2609184154541289,
      1.2614699133762088,
      1.2620138822744706,
      1.2625504151637488,
      1.2630796045097636,
      1.263601541671322,
      1.2641163171539371,
      1.264624020912042,
      1.2651247414790887,
      1.2656185667227855,
      1.266105583936946,
      1.2665858792192644,
      1.2670595378639842,
      1.267526644345656,
      1.2679872820462108,
      1.2684415337429689,
      1.268889481281012,
      1.2693312054467236,
      1.2697667865514126,
      1.2701963036907902,
      1.2706198353756066,
      1.2710374590923201,
      1.2714492517774698,
      1.271855289222181,
      1.2722556463902182,
      1.2726503974289474,
      1.2730396157294608,
      1.2734233740359358,
      1.273801743942934,
      1.2741747966117227,
      1.2745426019591066,
      1.2749052294210634,
      1.2752627476977885,
      1.2756152248025137,
      1.27596272744741,
      1.2763053218010112,
      1.2766430734812706,
      1.2769760471912392,
      1.2773043068618868,
      1.27762791574265,
      1.2779469360834412,
      1.2782614296802,
      1.2785714573505371,
      1.2788770794765671,
      1.2791783557324734,
      1.27947534486181,
      1.279768104860259,
      1.2800566931060238,
      1.280341166285772,
      1.2806215803192629,
      1.2808979905879267,
      1.2811704517555569,
      1.2814390177910315,
      1.2817037420409598,
      1.2819646771484732,
      1.2822218750218333,
      1.2824753869035477,
      1.2827252638962379,
      1.2829715558091193,
      1.2832143120887485,
      1.2834535813751504,
      1.2836894119217033,
      1.2839218514038775,
      1.2841509469304278,
      1.284376744697573,
      1.2845992905067203,
      1.2848186293148465,
      1.2850348058011956,
      1.2852478641702558,
      1.2854578478013678,
      1.2856647996094173,
      1.285868761946832,
      1.2860697766573668,
      1.2862678848748317,
      1.2864631275328797,
      1.286655544653491,
      1.286845175855211,
      1.2870320603010867,
      1.2872162367985298,
      1.287397743288072,
      1.287576617450364,
      1.287752896244078,
      1.2879266163588978,
      1.2880978138537476,
      1.2882665244557425,
      1.2884327834006055,
      1.2885966252216163,
      1.288758084198961,
      1.2889171942998379,
      1.2890739889147116,
      1.2892285008978903,
      1.2893807625058065,
      1.2895308057413786,
      1.2896786621891816,
      1.2898243629010173,
      1.2899679387386493,
      1.2901094200038656,
      1.2902488366275298,
      1.2903862179511305,
      1.2905215931688168,
      1.2906549909552987,
      1.2907864394491684,
      1.2909159667951275,
      1.2910436005160197,
      1.2911693677490053,
      1.291293295125048,
      1.2914154092582844,
      1.291535735912555,
      1.291654300794887,
      1.2917711290769551,
      1.2918862456790636,
      1.2919996753501732,
      1.2921114423408382,
      1.2922215708384919,
      1.2923300844359977,
      1.292437006362719,
      1.2925423596133074,
      1.2926461667709002,
      1.292748450287633,
      1.292849232002018,
      1.2929485336728765,
      1.293046376750127,
      1.293142781992532,
      1.2932377704073894,
      1.2933313627659306,
      1.2934235793219515,
      1.2935144401912115,
      1.2936039647639737,
      1.293692172235953,
      1.2937790817320038,
      1.2938647122262317,
      1.2939490823601179,
      1.2940322102603266,
      1.2941141139662928,
      1.2941948113489496,
      1.2942743199784639,
      1.2943526572967545,
      1.2944298401793777,
      1.2945058854633975,
      1.2945808098137592,
      1.294654629335212,
      1.2947273603026082,
      1.294799018568763,
      1.2948696197859215,
      1.2949391792197547,
      1.2950077121226595,
      1.295075233547383,
      1.2951417584656848,
      1.2952073013271626,
      1.295271876686082,
      1.2953354984034995,
      1.295398180476847,
      1.2954599365976436,
      1.2955207804211597,
      1.295580725327228,
      1.2956397843843188,
      1.2956979706692828,
      1.295755297129305,
      1.2958117762910306,
      1.2958674204779368,
      1.2959222419258407,
      1.2959762525420022,
      1.2960294642235723,
      1.296081888768996,
      1.296133537535033,
      1.2961844220597194,
      1.2962345536680637,
      1.296283943179388,
      1.296332601529716,
      1.2963805395803296,
      1.2964277680279555,
      1.2964742973148142,
      1.2965201376401008,
      1.2965652991747343,
      1.2966097918180908,
      1.2966536254123462,
      1.2966968097532792,
      1.2967393543975851,
      1.2967812685715423,
      1.2968225615372635,
      1.2968632423992899,
      1.2969033202671796,
      1.2969428041128137,
      1.2969817027294366,
      1.2970200244359338,
      1.2970577777472243,
      1.2970949713327278,
      1.2971316135679314,
      1.2971677123400676,
      1.2972032756162588,
      1.297238311299551,
      1.297272827237547,
      1.297306831129181,
      1.2973403306348452,
      1.297373333079419,
      1.2974058458672812,
      1.2974378761850163,
      1.2974694312127542,
      1.2975005180302486,
      1.2975311434718189,
      1.297561314591678,
      1.297591037857645,
      1.2976203197176681,
      1.2976491667594412,
      1.297677585514014,
      1.2977055823611545,
      1.2977331635362488,
      1.2977603348825897,
      1.2977871025190895,
      1.2978134726942516,
      1.2978394513859726,
      1.2978650440535497,
      1.297890256457563,
      1.2979150941573945,
      1.297939562873225,
      1.2979636680344246,
      1.2979874149888782,
      1.2980108091104334,
      1.2980338556012467,
      1.2980565598025875,
      1.2980789265900758,
      1.298100960938602,
      1.2981226678258548,
      1.298144052135949,
      1.2981651183593708,
      1.2981858714627657,
      1.2982063160801827,
      1.298226456823327,
      1.2982462981847704,
      1.298265844644504,
      1.2982851005220872,
      1.2983040701847772,
      1.298322757899664,
      1.2983411676855086,
      1.2983593038258743,
      1.2983771703139952,
      1.2983947710097616,
      1.2984121097455985,
      1.29842919058481,
      1.2984460175717554,
      1.2984625942272423,
      1.2984789240611638,
      1.2984950107796385,
      1.2985108581364238,
      1.2985264696825114,
      1.298541848973435,
      1.298556999471307,
      1.298571924599385,
      1.298586627694908,
      1.2986011119616787,
      1.2986153806770284,
      1.298629437246191,
      1.2986432846971483,
      1.2986569262944097,
      1.2986703649320346,
      1.2986836033909632,
      1.298696644749029,
      1.2987094921807703,
      1.2987221485029066,
      1.2987346165334637,
      1.2987468989930306,
      1.298758998558571,
      1.2987709178661688,
      1.2987826597173866,
      1.2987942267261152,
      1.2988056215248898,
      1.2988168468185453,
      1.2988279049291973,
      1.298838798409211,
      1.2988495296878646,
      1.2988601012263448,
      1.298870515520615,
      1.2988807745443218,
      1.2988908808701218,
      1.298900836756696,
      1.2989106443038032,
      1.298920305759725,
      1.2989298235235762,
      1.2989391995883783,
      1.2989484358483367,
      1.2989575344061177,
      1.2989664975241573,
      1.298975327271017,
      1.2989840255235408,
      1.2989925942232312,
      1.2990010352765284,
      1.2990093506077118,
      1.2990175421609667,
      1.2990256115971965,
      1.2990335607027303,
      1.2990413915438699,
      1.2990491057568445,
      1.2990567050583097,
      1.299064191247143,
      1.2990715658501768,
      1.2990788306835455,
      1.2990859872440377,
      1.2990930373211806,
      1.2990999823886167
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183457437714253,
      10.995037913926103,
      10.796381286836317,
      10.588909459176996,
      10.374045803305469,
      10.153226603115526,
      9.92799353854455,
      9.69993943946783,
      9.4705042827657,
      9.241044890929428,
      9.01283211300076,
      8.787002833486376,
      8.564520459528199,
      8.346154706154982,
      8.132469667295325,
      7.923821968886971,
      7.720370059006917,
      7.52209246394165,
      7.328812238706934,
      7.140224917563717,
      6.955927671230211,
      6.775445768945879,
      6.598257071884266,
      6.42381915243125,
      6.25159178235444,
      6.081056401237042,
      5.911732367560262,
      5.743184418939214,
      5.575029609268384,
      5.406943992498365,
      5.238687091507444,
      5.070116529778858,
      4.90119515333321,
      4.7319897122870245,
      4.5626622271890405,
      4.393435190994064,
      4.224609553628793,
      4.056586698089466,
      3.889857750325865,
      3.7249773929855343,
      3.5625298038651882,
      3.4031125684439045,
      3.2473211729171823,
      3.0957336008665712,
      2.948891894363412,
      2.8072891602967864,
      2.6713579120180104,
      2.5414597972465316,
      2.4178820547353093,
      2.3008371808686707,
      2.1904653987701073,
      2.0868391491324516,
      1.9899692367744437,
      1.8998132039265136,
      1.8162841157677192,
      1.7392574010711008,
      1.668578033851096,
      1.6040646830188137,
      1.5455197043253952,
      1.4927395868318043,
      1.4455151577673655,
      1.4036387328818787,
      1.3668951173324375,
      1.3350053720758346,
      1.3075849947452056,
      1.2841848291609388,
      1.2643003867393299,
      1.2473945340047932,
      1.2330120199929466,
      1.220814068415771,
      1.2105177944026262,
      1.2018659370994682,
      1.194625219887921,
      1.1885943268275851,
      1.1836010002589938,
      1.1794996090206415,
      1.1761679069600022,
      1.1735002377204828,
      1.1714050909135847,
      1.1698031347165967,
      1.1686256486875992,
      1.1678131778682392,
      1.167314290383364,
      1.1670845004198602,
      1.1670853346777976,
      1.1672835234409946,
      1.1676502999868312,
      1.1681607935812905,
      1.1687935044178186,
      1.1695298491289776,
      1.1703537674477946,
      1.1712513816786463,
      1.1722107017658683,
      1.1732213712977164,
      1.1742744463782324,
      1.175362205193632,
      1.1764779830406908,
      1.1776160298100158,
      1.1787713865420462,
      1.1799397784677028,
      1.1811175229872242,
      1.1823014495895883,
      1.183488831074006,
      1.1846773234179615,
      1.1858649140413124,
      1.187049877415859,
      1.188230736472694,
      1.189406228930716,
      1.1905752781863577,
      1.191736968666487,
      1.1928905238748364,
      1.1940352878089833,
      1.195170708292984,
      1.1962963235732826,
      1.1974117496627772,
      1.1985166701431913,
      1.1996108269846246,
      1.2006940124189074,
      1.2017660623115032,
      1.202826850207933,
      1.2038762822992743,
      1.204914293044991,
      1.205940841089567,
      1.2069559062305368,
      1.2079594864150567,
      1.2089515952696148,
      1.2099322596498931,
      1.2109015181742309,
      1.2118594193644239,
      1.2128060201545026,
      1.2137413851721892,
      1.2146655851637547,
      1.215578696290075,
      1.2164807992241586,
      1.2173719784561436,
      1.2182523220588122,
      1.2191219206926285,
      1.2199808669170906,
      1.2208292555707545,
      1.2216671831850083,
      1.2224947474997585,
      1.2233120474871835,
      1.224119182407949,
      1.2249162522393635,
      1.2257033575932428,
      1.2264805992254906,
      1.227248078103226,
      1.2280058950629664,
      1.228754151077031,
      1.2294929467549227,
      1.2302223824524428,
      1.2309425582767903,
      1.2316535739876082,
      1.2323555288955323,
      1.2330485219107838,
      1.2337326513859481,
      1.2344080153121337,
      1.2350747111568223,
      1.235732835597479,
      1.2363824846592242,
      1.2370237538499869,
      1.2376567380390309,
      1.238281531383783,
      1.2388982273049423,
      1.2395069183065353,
      1.2401076967088875,
      1.240700653802688,
      1.2412858803231661,
      1.2418634659043526,
      1.2424334997008988,
      1.242996070295342,
      1.243551265298154,
      1.244099171657589,
      1.2446398756620054,
      1.2451734625838347,
      1.2457000172879327,
      1.2462196236168583,
      1.2467323646896622,
      1.2472383230967101,
      1.2477375803297102,
      1.2482302169722468,
      1.2487163132950312,
      1.2491959487814859,
      1.2496692018037796,
      1.2501361502632966,
      1.2505968711099353,
      1.2510514407752489,
      1.2514999350953147,
      1.2519424287737988,
      1.2523789956568903,
      1.2528097091588604,
      1.2532346416687616,
      1.2536538651250653,
      1.2540674506731948,
      1.2544754687284665,
      1.2548779890370376,
      1.2552750804302217,
      1.2556668110347766,
      1.2560532482780897,
      1.256434459146095,
      1.256810509778781,
      1.257181465318124,
      1.2575473902630336,
      1.2579083488737255,
      1.258264404405064,
      1.2586156192537636,
      1.2589620552057958,
      1.2593037735805677,
      1.2596408347636254,
      1.2599732985516503,
      1.2603012240891383,
      1.2606246697019687,
      1.2609436933909985,
      1.2612583524596994,
      1.2615687034460863,
      1.2618748022052726,
      1.262176704093077,
      1.2624744635886258,
      1.2627681346786794,
      1.263057770833915,
      1.2633434247807371,
      1.2636251486786472,
      1.2639029939914872,
      1.2641770116625668,
      1.2644472521362589,
      1.2647137649714444,
      1.264976599267827,
      1.2652358035315798,
      1.2654914256416134,
      1.2657435130692969,
      1.265992112690314,
      1.266237270697161,
      1.266479032866821,
      1.266717444573136,
      1.266952550187998,
      1.2671843937020728,
      1.267413018683276,
      1.2676384680311534,
      1.2678607842897927,
      1.268080009654755,
      1.2682961852672463,
      1.2685093520328066,
      1.2687195502186903,
      1.268926819864135,
      1.2691312004781254,
      1.2693327310921694,
      1.2695314501089552,
      1.2697273954552488,
      1.2699206044288534,
      1.2701111142058772,
      1.2702989612285187,
      1.2704841815585841,
      1.2706668106704446,
      1.2708468838538545,
      1.2710244358531728,
      1.2711995010145425,
      1.2713721130254556,
      1.2715423054674675,
      1.2717101111474993,
      1.2718755625474039,
      1.2720386918660047,
      1.272199530857211,
      1.2723581108199922,
      1.2725144628930796,
      1.2726686173826511,
      1.272820604360818,
      1.2729704536023003,
      1.2731181944189405,
      1.2732638557479727,
      1.2734074661886672,
      1.273549053987965,
      1.2736886468726225,
      1.2738262725421619,
      1.273961958195152,
      1.2740957301055886,
      1.2742276146225706,
      1.274357638152502,
      1.2744858264291699,
      1.274612204901956,
      1.2747367984624898,
      1.274859631933574,
      1.2749807294386681,
      1.2751001149407006,
      1.2752178123736122,
      1.2753338451123954,
      1.2754482363581288,
      1.275561008861443,
      1.2756721851032777,
      1.2757817870681427,
      1.27588983708524,
      1.2759963565839763,
      1.2761013667817442,
      1.2762048888116688,
      1.2763069433414385,
      1.2764075507003363,
      1.2765067310566964,
      1.2766045043407948,
      1.2767008903199508,
      1.2767959084699088,
      1.2768895780494929,
      1.2769819177677886,
      1.2770729460103458,
      1.2771626811667038,
      1.277251141296412,
      1.2773383443035131,
      1.2774243080090433,
      1.2775090498672683,
      1.2775925868340543,
      1.2776749359468509,
      1.2777561137855498,
      1.27783613669589,
      1.2779150209107784,
      1.277992782569724,
      1.2780694374329022,
      1.2781450009508968,
      1.278219488588328,
      1.2782929154353808,
      1.2783652962257397,
      1.2784366458119711,
      1.2785069786235765,
      1.2785763088876794,
      1.2786446508493754,
      1.2787120183815721,
      1.2787784255611887,
      1.2788438858716953,
      1.2789084124735186,
      1.2789720185247353,
      1.2790347171966925,
      1.279096521333436,
      1.2791574433650441,
      1.279217495729312,
      1.279276690886312,
      1.2793350410278643,
      1.2793925581936365,
      1.2794492541326035,
      1.2795051404186,
      1.2795602284638519,
      1.2796145295832846,
      1.2796680547025001,
      1.2797208148792443,
      1.2797728211637265,
      1.2798240840011803,
      1.2798746139561135,
      1.2799244216738146,
      1.2799735172314324,
      1.280021910861926,
      1.2800696124063649,
      1.2801166316815158,
      1.2801629781860038,
      1.2802086616201016,
      1.2802536913373326,
      1.280298076711471,
      1.2803418270456748,
      1.2803849511763024,
      1.2804274579409995,
      1.280469356239782,
      1.2805106548927323,
      1.280551362141459,
      1.2805914864217287,
      1.280631036067958,
      1.2806700193737417,
      1.2807084442452756,
      1.280746318821009,
      1.2807836509722281,
      1.280820448363015,
      1.280856718408276,
      1.280892468689183,
      1.2809277067075715,
      1.280962439894475,
      1.280996675415307,
      1.281030420178052,
      1.2810636811972747,
      1.2810964652969912,
      1.2811287792709887,
      1.2811606299416558,
      1.2811920240151315,
      1.2812229679871623,
      1.2812534682524153,
      1.2812835311117103,
      1.2813131626775682,
      1.2813423690337042,
      1.2813711564964183,
      1.2813995312657191,
      1.2814274990254364,
      1.281455065560126,
      1.281482236710851,
      1.2815090180256883,
      1.2815354149696265,
      1.281561433032521,
      1.2815870777352867,
      1.2816123542801694,
      1.2816372680145436,
      1.2816618239281516,
      1.2816860273202122,
      1.2817098832967129,
      1.281733396725413,
      1.2817565725973497,
      1.2817794158291562,
      1.2818019311159996,
      1.281824123140349,
      1.2818459964756086,
      1.2818675554895675,
      1.2818888048580654,
      1.2819097488071582,
      1.2819303920337282,
      1.281950738693299,
      1.281970793066097,
      1.2819905595109857,
      1.2820100419618041,
      1.2820292444404358,
      1.2820481711123182,
      1.2820668258332246,
      1.282085212611579,
      1.2821033353585227,
      1.282121197739857,
      1.2821388034853103,
      1.282156156240189,
      1.2821732596712685,
      1.282190117419933,
      1.2822067330047182,
      1.2822231098252397,
      1.282239251318609,
      1.282255160759842,
      1.2822708413164596,
      1.282286296459024,
      1.2823015293545466,
      1.2823165431753762,
      1.2823313410518509,
      1.282345926177611,
      1.2823603015587741,
      1.282374470322658,
      1.2823884354668407,
      1.282402199811804,
      1.2824157662583615,
      1.2824291374857086,
      1.282442316259713,
      1.282455305435974,
      1.2824681077596072,
      1.282480725766595,
      1.2824931622444218,
      1.2825054199808874,
      1.2825175015638026,
      1.2825294092821424,
      1.2825411457390132,
      1.2825527132950252,
      1.2825641145288489,
      1.2825753517821945,
      1.282586427366019,
      1.2825973435630438,
      1.2826081027321037,
      1.282618706903773,
      1.2826291584440865,
      1.2826394595483661,
      1.2826496123455267,
      1.282659619052999,
      1.282669481623176,
      1.282679202356029,
      1.2826887834438112,
      1.2826982268719302,
      1.282707534319295,
      1.282716707923308,
      1.2827257494174502,
      1.2827346606928127,
      1.2827434437493124,
      1.2827521004436118,
      1.28276063249125,
      1.2827690416720028,
      1.2827773296792016,
      1.282785498528713,
      1.2827935497980973,
      1.282801485289701,
      1.2828093067274005,
      1.28281701560599,
      1.2828246137015678,
      1.2828321025646872,
      1.2828394836748949,
      1.2828467583405403,
      1.2828539281580826,
      1.2828609947087073,
      1.2828679595599457,
      1.2828748242168178,
      1.2828815901232808,
      1.282888258714823,
      1.282894831369216,
      1.2829013094588742
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183460183656859,
      10.995051023557512,
      10.79642397369981,
      10.589006112648871,
      10.374224696939804,
      10.153517579888106,
      9.928431861831486,
      9.700558140825205,
      9.471328913192153,
      9.24209967078168,
      9.014139677861252,
      8.788583832082534,
      8.566393591879953,
      8.348337018563953,
      8.13497683765418,
      7.926668680699977,
      7.723570436755022,
      7.5256605195100565,
      7.332762284886565,
      7.14457191270215,
      6.960687468981422,
      6.780635774685995,
      6.603896086140272,
      6.429927027650772,
      6.258189175792152,
      6.088164394885467,
      5.919372400283975,
      5.751378407283105,
      5.583799520729046,
      5.416310699055515,
      5.248668187257577,
      5.0807253335247955,
      4.912439759686038,
      4.743872107697143,
      4.575180247592748,
      4.406582451757476,
      4.238370906097366,
      4.070936969825286,
      3.904762343576892,
      3.7403947506850965,
      3.5784136861455917,
      3.4194130939838687,
      3.263985887014918,
      3.112708554888732,
      2.9661231051232635,
      2.8247231799758574,
      2.688943739753825,
      2.5591504494796555,
      2.435635373239349,
      2.3186163682842182,
      2.208239290781623,
      2.104582224724887,
      2.0076614887630906,
      1.9174405260728191,
      1.8338374708013554,
      1.7567318764220867,
      1.685972147504396,
      1.6213788660840815,
      1.5627573444876355,
      1.509906494150453,
      1.4626188582909712,
      1.420687655199427,
      1.3838940055712363,
      1.3519487956659504,
      1.3244585799390531,
      1.30096800123883,
      1.2809650498861422,
      1.2639108715734602,
      1.2493560164090716,
      1.236966046184301,
      1.2264603631954614,
      1.21758192633441,
      1.2100992337702516,
      1.2038132780821267,
      1.1985536026698769,
      1.1941753132846387,
      1.190556907143328,
      1.1875941574383,
      1.1851968607260301,
      1.1832869385438443,
      1.1817967440096993,
      1.1806677183805627,
      1.1798492283856714,
      1.1792974990038707,
      1.178974689467819,
      1.1788480925549043,
      1.178889441061765,
      1.179074308044783,
      1.179381587361104,
      1.179793044510791,
      1.1802929281974242,
      1.180867633999539,
      1.181505413736861,
      1.1821961240161132,
      1.1829310088115046,
      1.1837025116401538,
      1.1845041129828258,
      1.1853301899076487,
      1.1861758947833494,
      1.187037049538781,
      1.1879100555095938,
      1.1887918150691916,
      1.1896796634474465,
      1.1905713101220599,
      1.19146478801197,
      1.1923584099364868,
      1.1932507305412843,
      1.194140513480002,
      1.195026703189175,
      1.1959084002972498,
      1.1967848404760215,
      1.1976553761424564,
      1.1985194604737532,
      1.1993766339645906,
      1.2002265124892533,
      1.201068776798498,
      1.2019031640457911,
      1.2027294599561642,
      1.2035474919821008,
      1.2043571238935642,
      1.2051582506237493,
      1.2059507942279817,
      1.206734699931792,
      1.2075099330763222,
      1.208276476040987,
      1.2090343259011722,
      1.2097834929709623,
      1.2105239982950804,
      1.2112558721211313,
      1.211979152943231,
      1.2126938861490197,
      1.2134001227765598,
      1.2140979190917254,
      1.2147873356627605,
      1.2154684364901904,
      1.2161412888524121,
      1.2168059619332323,
      1.2174625274857345,
      1.2181110588700452,
      1.2187516309569613,
      1.2193843195741845,
      1.220009201614044,
      1.2206263545305747,
      1.2212358563956234,
      1.2218377854459181,
      1.2224322203409688,
      1.2230192397081572,
      1.223598922195273,
      1.2241713462671713,
      1.2247365903064962,
      1.225294732407758,
      1.2258458502204201,
      1.226390021451872,
      1.226927323199012,
      1.2274578321937764,
      1.2279816244364385,
      1.2284987756410124,
      1.2290093610175472,
      1.2295134551038074,
      1.2300111321036595,
      1.2305024656644459,
      1.2309875288561203,
      1.231466394148722,
      1.2319391331336502,
      1.2324058168023782,
      1.2328665160272023,
      1.2333213007181034,
      1.2337702402492585,
      1.2342134033246812,
      1.2346508579943507,
      1.235082671974239,
      1.2355089121509768,
      1.2359296445936023,
      1.2363449347667113,
      1.2367548478947767,
      1.2371594483590866,
      1.2375587998557298,
      1.2379529653484749,
      1.2383420075289566,
      1.2387259881565724,
      1.239104968464777,
      1.2394790091591965,
      1.239848170058353,
      1.2402125108008577,
      1.240572090178241,
      1.240926966280275,
      1.2412771966895173,
      1.2416228383185968,
      1.2419639477549211,
      1.2423005807394227,
      1.2426327924070193,
      1.2429606374748796,
      1.2432841698190877,
      1.2436034430164564,
      1.2439185100206425,
      1.2442294229897317,
      1.2445362336717083,
      1.2448389932296733,
      1.2451377524727867,
      1.2454325613231136,
      1.2457234691460415,
      1.246010524977626,
      1.2462937772934708,
      1.2465732740308209,
      1.246849062660494,
      1.247121190105237,
      1.2473897025044371,
      1.24765464563891,
      1.247916064591788,
      1.248174003916971,
      1.2484285080100235,
      1.2486796206137556,
      1.2489273849332168,
      1.2491718438005375,
      1.2494130392795273,
      1.249651013133821,
      1.2498858066329868,
      1.2501174604595204,
      1.2503460150728356,
      1.250571510156812,
      1.250793985236386,
      1.2510134791744192,
      1.2512300303289101,
      1.2514436767602257,
      1.2516544559289358,
      1.2518624046471947,
      1.2520675597411988,
      1.2522699574417546,
      1.2524696333842686,
      1.2526666229640575,
      1.252860961131483,
      1.2530526824407267,
      1.2532418211487568,
      1.2534284109068958,
      1.2536124848074306,
      1.2537940754802503,
      1.2539732156467693,
      1.254149937401897,
      1.254324272258068,
      1.25449625144287,
      1.2546659059419614,
      1.2548332662868842,
      1.254998362342404,
      1.2551612241102796,
      1.2553218810577798,
      1.2554803622594164,
      1.2556366962327763,
      1.2557909113331356,
      1.2559430354865644,
      1.2560930962274306,
      1.2562411206336481,
      1.2563871358718126,
      1.2565311687247467,
      1.256673245525582,
      1.2568133922437768,
      1.2569516341635953,
      1.2570879966807833,
      1.2572225048275796,
      1.2573551830006897,
      1.2574860555531933,
      1.257615146419677,
      1.257742479809221,
      1.2578680788636218,
      1.2579919667562474,
      1.258114166111974,
      1.2582346994946871,
      1.2583535892842421,
      1.2584708574004397,
      1.2585865255861228,
      1.258700615028399,
      1.2588131470476303,
      1.2589241425655255,
      1.2590336222340823,
      1.2591416061062002,
      1.2592481143739305,
      1.2593531669876177,
      1.2594567834272512,
      1.2595589829818936,
      1.2596597846729518,
      1.259759207227671,
      1.2598572692049361,
      1.259953989069998,
      1.2600493847602732,
      1.2601434742679374,
      1.2602362751033638,
      1.2603278045209352,
      1.2604180794901871,
      1.2605071172262197,
      1.2605949343975833,
      1.2606815474018604,
      1.2607669726918223,
      1.2608512260840308,
      1.2609343233893355,
      1.2610162802803577,
      1.2610971123620882,
      1.2611768346829524,
      1.2612554623134844,
      1.2613330102125346,
      1.261409493093666,
      1.2614849252401268,
      1.2615593207771902,
      1.2616326937916431,
      1.2617050582986333,
      1.26177642815743,
      1.2618468168344703,
      1.2619162377763729,
      1.261984703968849,
      1.262052228258241,
      1.2621188234692384,
      1.2621845022173857,
      1.2622492770775064,
      1.2623131603958435,
      1.2623761644580493,
      1.2624383011992435,
      1.2624995823205134,
      1.2625600194052693,
      1.262619624086281,
      1.2626784077038875,
      1.2627363813710175,
      1.2627935560377173,
      1.2628499427592133,
      1.262905552353365,
      1.262960395413989,
      1.2630144822732636,
      1.2630678233704222,
      1.2631204288067457,
      1.2631723085616617,
      1.2632234728101166,
      1.2632739312229542,
      1.2633236932840513,
      1.263372768810708,
      1.2634211670499254,
      1.263468897554675,
      1.2635159693307367,
      1.2635623913565222,
      1.263608172492234,
      1.2636533213890722,
      1.2636978469576325,
      1.2637417575648342,
      1.2637850618072914,
      1.2638277678095389,
      1.2638698837427327,
      1.2639114177328001,
      1.2639523779213393,
      1.263992772119368,
      1.2640326081221258,
      1.2640718934132924,
      1.2641106355810763,
      1.2641488421748746,
      1.264186520510947,
      1.2642236777830116,
      1.2642603210201706,
      1.2642964574006572,
      1.264332093955351,
      1.2643672376780033,
      1.2644018953302496,
      1.2644360734498037,
      1.2644697787654156,
      1.264503017899727,
      1.2645357970211937,
      1.2645681224111216,
      1.2646000004204754,
      1.2646314372231113,
      1.264662439179405,
      1.264693012182549,
      1.264723161920092,
      1.2647528943894781,
      1.2647822153965944,
      1.2648111304609693,
      1.2648396451785964,
      1.264867765076103,
      1.26489549541386,
      1.2649228418027745,
      1.2649498094988554,
      1.2649764037148274,
      1.2650026295246048,
      1.2650284920728374,
      1.2650539964794565,
      1.2650791475913756,
      1.2651039501919377,
      1.2651284089556623,
      1.265152528708281,
      1.265176314178117,
      1.2651997700018303,
      1.2652229005264908,
      1.2652457104251993,
      1.2652682042957673,
      1.2652903864118579,
      1.2653122609824543,
      1.2653338323095176,
      1.2653551046914138,
      1.2653760821228348,
      1.265396768757432,
      1.2654171685058102,
      1.2654372851927538,
      1.2654571229180216,
      1.2654766856542023,
      1.2654959770480128,
      1.265515000831605,
      1.2655337610304784,
      1.2655522611035899,
      1.265570504608693,
      1.2655884951049272,
      1.265606236055323,
      1.2656237308817182,
      1.26564098291809,
      1.2656579954652925,
      1.26567477189678,
      1.265691315560945,
      1.2657076297341918,
      1.265723717675745,
      1.2657395824279727,
      1.2657552269726808,
      1.265770654438174,
      1.265785867746801,
      1.2658008699746313,
      1.2658156641007177,
      1.2658302531123578,
      1.2658446397543555,
      1.2658588268374846,
      1.26587281678398,
      1.2658866125460793,
      1.265900216948289,
      1.265913632385446,
      1.2659268615886623,
      1.2659399072216195,
      1.265952771527616,
      1.2659654570444026,
      1.2659779663020225,
      1.265990301774854,
      1.2660024660373113,
      1.2660144614106636,
      1.2660262903728672,
      1.2660379553071028,
      1.2660494582502122,
      1.266060801403893,
      1.2660719869338073,
      1.2660830171756323,
      1.2660938942817168,
      1.266104620376287,
      1.2661151974561462,
      1.2661256276475223,
      1.266135912903242,
      1.2661460553103425,
      1.2661560568381782,
      1.2661659192898362,
      1.2661756447113064,
      1.2661852350886882,
      1.2661946921469838,
      1.2662040180135568,
      1.2662132145083829,
      1.2662222832988195,
      1.2662312262577338,
      1.2662400450078615,
      1.2662487412289098,
      1.266257316608754,
      1.2662657727945275,
      1.266274111394507,
      1.2662823340818665,
      1.2662904424948318,
      1.2662984382386837,
      1.2663063228367542,
      1.2663140977321747,
      1.2663217645949438,
      1.2663293251711836,
      1.2663367808273605,
      1.2663441328571672,
      1.2663513826865382,
      1.2663585318244843,
      1.2663655815595993,
      1.2663725332668452,
      1.2663793882565195,
      1.2663861478776148,
      1.2663928135193818,
      1.2663993864602594,
      1.2664058680730195,
      1.2664122597246588,
      1.266418562676098,
      1.266424777931189,
      1.2664309066957793,
      1.266436950379037,
      1.2664429100863874,
      1.266448786977048,
      1.2664545821126834,
      1.2664602967638507
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.18346373719966,
      10.995066756468383,
      10.796472215540636,
      10.589112250181907,
      10.374417052355646,
      10.153825903182558,
      9.928892061983639,
      9.701201793645843,
      9.472182060676795,
      9.243186979625525,
      9.015484115607313,
      8.790206262780254,
      8.568312841514928,
      8.350570197639698,
      8.137539643308845,
      7.929575783716359,
      7.726835929810154,
      7.529298373569521,
      7.336786768152062,
      7.148997938213919,
      6.96553084702302,
      6.785913874426298,
      6.609627677241741,
      6.436131930123502,
      6.26488800815193,
      6.095378191471024,
      5.927122508304321,
      5.759686338071496,
      5.592686854520494,
      5.425798337816196,
      5.258773726202649,
      5.091462053839041,
      4.923815678934924,
      4.755889094536565,
      4.587834912391913,
      4.4198680798155685,
      4.2522731464827395,
      4.085431284852567,
      3.919813907522123,
      3.7559617114247694,
      3.594449502925124,
      3.4358676063505618,
      3.280806218740882,
      3.129840185342309,
      2.983511347024961,
      2.8423140533949347,
      2.706685307194058,
      2.5769947259004398,
      2.453539160131297,
      2.3365418144398697,
      2.2261541835981826,
      2.122460024040016,
      2.0254815287438106,
      1.9351880734604574,
      1.8515026005181134,
      1.774308856217172,
      1.7034584193828672,
      1.6387737720746751,
      1.5800635133653935,
      1.5271290376412368,
      1.4797646516442082,
      1.4377644169127546,
      1.4009054404956014,
      1.368889252696339,
      1.3413145064372998,
      1.3177184454286022,
      1.2975823349602846,
      1.2803661330952494,
      1.2656264190673465,
      1.2530328089147575,
      1.2423069374035032,
      1.2331922963688264,
      1.225459107374886,
      1.2189103333685278,
      1.2133769566410604,
      1.2087147322978544,
      1.2048033048971822,
      1.2015397646505779,
      1.1988351711280936,
      1.1966125837372072,
      1.1948054517643616,
      1.1933561558453742,
      1.1922148320596282,
      1.19133838911272,
      1.190689592964699,
      1.190236274646431,
      1.1899506438595608,
      1.1898086960248728,
      1.1897896984542384,
      1.1898757465100112,
      1.1900513796523469,
      1.1903032494648256,
      1.190619833020527,
      1.1909911843893664,
      1.191408720538999,
      1.1918650361422907,
      1.1923537433668179,
      1.1928693334668385,
      1.1934070572301063,
      1.193962821510572,
      1.1945331006267814,
      1.195114858628741,
      1.1957054827753986,
      1.1963027261906456,
      1.196904657577175,
      1.1975096186249732,
      1.198116186863385,
      1.1987231433918908,
      1.1993294452376673,
      1.1999342013827998,
      1.2005366522727112,
      1.2011361516044612,
      1.2017321508260836,
      1.202324185916003,
      1.2029118657621625,
      1.2034948624281756,
      1.204072902274824,
      1.2046457584828785,
      1.2052132447123847,
      1.2057752097358636,
      1.2063315323253123,
      1.2068821171996635,
      1.2074268912633945,
      1.2079658007922112,
      1.2084988085441333,
      1.2090258916057437,
      1.2095470393600618,
      1.2100622516238286,
      1.2105715371551495,
      1.211074912376434,
      1.21157240031101,
      1.2120640295792982,
      1.2125498334530453,
      1.2130298493730143,
      1.2135041182176178,
      1.2139726837791738,
      1.2144355922432588,
      1.2148928920271453,
      1.2153446329589568,
      1.2157908663231167,
      1.216231644449176,
      1.2166670205558296,
      1.2170970484935706,
      1.217521782691293,
      1.2179412780519001,
      1.218355589593778,
      1.2187647725493855,
      1.2191688820568174,
      1.2195679731555005,
      1.2199621013919917,
      1.2203513215942068,
      1.2207356884756038,
      1.2211152566280945,
      1.2214900801072686,
      1.2218602129321812,
      1.2222257087193702,
      1.2225866206215046,
      1.2229430012645064,
      1.2232949031922582,
      1.2236423784460408,
      1.2239854783461288,
      1.2243242541876729,
      1.2246587567152134,
      1.224989035952094,
      1.2253151415879662,
      1.2256371230093375,
      1.2259550289731604,
      1.2262689077372426,
      1.226578807087532,
      1.2268847744153586,
      1.2271868566921056,
      1.2274851003409952,
      1.2277795515150827,
      1.2280702557128715,
      1.2283572579015285,
      1.2286406026391155,
      1.2289203340940986,
      1.2291964958605945,
      1.2294691311285333,
      1.229738282649751,
      1.2300039927028001,
      1.2302663029045648,
      1.2305252547836187,
      1.2307808895392407,
      1.2310332475453671,
      1.231282368718105,
      1.2315282926278102,
      1.2317710584581019,
      1.232010705065596,
      1.232247270784793,
      1.232480793384516,
      1.2327113103796343,
      1.2329388587824825,
      1.2331634751078198,
      1.2333851956822202,
      1.2336040563932658,
      1.233820092692365,
      1.2340333396986543,
      1.2342438318951632,
      1.234451603434481,
      1.2346566880876144,
      1.2348591193958591,
      1.2350589305166952,
      1.2352561540691513,
      1.235450822334425,
      1.2356429673541487,
      1.2358326206210906,
      1.236019813226932,
      1.2362045760093734,
      1.2363869396986693,
      1.2365669346061785,
      1.236744590363008,
      1.2369199362171721,
      1.2370930012285282,
      1.2372638142088133,
      1.237432403559659,
      1.2375987972623177,
      1.2377630229686793,
      1.2379251081934988,
      1.2380850799974548,
      1.2382429653309195,
      1.2383987906144636,
      1.2385525818271914,
      1.2387043646961668,
      1.2388541646310485,
      1.2390020071161376,
      1.239147917237474,
      1.2392919195146794,
      1.2394340382406785,
      1.2395742972613042,
      1.2397127204157214,
      1.2398493310610592,
      1.239984152308483,
      1.2401172071062867,
      1.2402485178139995,
      1.2403781069456645,
      1.2405059966414114,
      1.2406322086473793,
      1.2407567644983357,
      1.2408796854455826,
      1.2410009925373044,
      1.2411207063931888,
      1.241238847436214,
      1.2413554359715553,
      1.2414704917566917,
      1.2415840345371856,
      1.241696083870146,
      1.2418066591509673,
      1.241915779487206,
      1.242023463572038,
      1.242129729760548,
      1.242234596603361,
      1.2423380821597123,
      1.2424402042253628,
      1.2425409803567173,
      1.2426404280981127,
      1.242738564700231,
      1.2428354070925849,
      1.2429309719571608,
      1.2430252759544378,
      1.2431183355423083,
      1.243210166896395,
      1.2433007858300726,
      1.2433902082226462,
      1.2434784494301312,
      1.2435655248653938,
      1.2436514498154003,
      1.2437362390544675,
      1.2438199073729013,
      1.2439024695457366,
      1.2439839398436414,
      1.2440643326624035,
      1.2441436620842843,
      1.2442219419475642,
      1.2442991859665817,
      1.2443754075973068,
      1.2444506202587542,
      1.244524837045367,
      1.2445980708970596,
      1.2446703346671502,
      1.2447416408849616,
      1.2448120021792972,
      1.2448814311933731,
      1.2449499398892316,
      1.245017540479187,
      1.245084244678763,
      1.245150064230827,
      1.2452150109210312,
      1.2452790962370368,
      1.2453423317398842,
      1.245404728264993,
      1.245466296801233,
      1.2455270482508773,
      1.2455869934439703,
      1.2456461426944847,
      1.2457045063734342,
      1.2457620948206403,
      1.2458189185108746,
      1.2458749873043513,
      1.2459303112226263,
      1.2459849002073091,
      1.2460387637259767,
      1.246091911293203,
      1.2461443523811984,
      1.2461960962285021,
      1.2462471521572682,
      1.2462975291783729,
      1.246347236257385,
      1.2463962823262058,
      1.2464446759894101,
      1.2464924256879266,
      1.2465395400660952,
      1.2465860273722806,
      1.2466318959783198,
      1.2466771541867976,
      1.2467218100891047,
      1.2467658715758831,
      1.246809346398076,
      1.2468522423803103,
      1.246894567278458,
      1.2469363285860442,
      1.2469775337982256,
      1.2470181900144683,
      1.2470583045581043,
      1.2470978846804939,
      1.2471369375703572,
      1.2471754700068223,
      1.2472134887243014,
      1.2472510008280298,
      1.247288012989183,
      1.2473245320130641,
      1.2473605642881258,
      1.2473961160995364,
      1.2474311939422797,
      1.2474658042241953,
      1.2474999529691093,
      1.247533646231322,
      1.2475668901034198,
      1.2475996906222795,
      1.2476320537767167,
      1.2476639855151967,
      1.2476954913463876,
      1.2477265767531316,
      1.247757247148575,
      1.247787508239158,
      1.2478173655231561,
      1.2478468242976812,
      1.2478758896144941,
      1.2479045669477933,
      1.2479328614889613,
      1.2479607781531428,
      1.2479883220942165,
      1.2480154982534128,
      1.2480423114674049,
      1.2480687667796686,
      1.2480948687855236,
      1.2481206222483927,
      1.248146031851479,
      1.2481711020002306,
      1.2481958372857695,
      1.248220242032797,
      1.2482443207630098,
      1.2482680777428925,
      1.2482915169891398,
      1.2483146433420154,
      1.2483374609962288,
      1.2483599738114133,
      1.248382185774895,
      1.248404100803245,
      1.2484257230523526,
      1.2484470563123131,
      1.2484681046226411,
      1.2484888715142535,
      1.2485093606753974,
      1.248529575956079,
      1.2485495209660642,
      1.2485691992829397,
      1.2485886144565044,
      1.2486077701660112,
      1.2486266697668273,
      1.248645316599892,
      1.2486637143013144,
      1.248681865840126,
      1.248699774488817,
      1.2487174434712078,
      1.2487348761191313,
      1.248752075724053,
      1.2487690451342142,
      1.2487857875213229,
      1.2488023059265723,
      1.2488186034680953,
      1.2488346831413273,
      1.2488505476192158,
      1.2488661998661983,
      1.2488816426330638,
      1.2488968788165484,
      1.2489119113103127,
      1.2489267427034394,
      1.2489413755888432,
      1.2489558126682792,
      1.2489700564504582,
      1.2489841095595322,
      1.248997974483942,
      1.249011653986479,
      1.2490251506500225,
      1.2490384668297416,
      1.2490516047069775,
      1.2490645665973574,
      1.2490773549026064,
      1.2490899720628212,
      1.249102420152391,
      1.2491147015949766,
      1.2491268186068738,
      1.2491387734541621,
      1.2491505681502264,
      1.2491622048654552,
      1.2491736857262628,
      1.249185012970398,
      1.2491961888480998,
      1.2492072152178426,
      1.2492180939047686,
      1.2492288268556202,
      1.2492394161920617,
      1.2492498638062064,
      1.2492601715158993,
      1.249270341066699,
      1.2492803743885086,
      1.249290273241841,
      1.2493000394745195,
      1.2493096751255945,
      1.2493191817666451,
      1.2493285611141098,
      1.249337814726258,
      1.249346944564702,
      1.249355952081149,
      1.2493648387280165,
      1.2493736063670366,
      1.249382256610368,
      1.249390791026098,
      1.2493992110384515,
      1.2494075182347655,
      1.2494157140622275,
      1.2494238000332099,
      1.2494317776254036,
      1.2494396484871095,
      1.249447414032307,
      1.2494550754425207,
      1.2494626341769564,
      1.2494700914655412,
      1.249477448717478,
      1.249484707421259,
      1.2494918690447834,
      1.2494989349862642,
      1.2495059062199725,
      1.249512784009592,
      1.249519569757105,
      1.249526264546773,
      1.2495328695026313,
      1.2495393858915291,
      1.2495458150738652,
      1.2495521583018818,
      1.2495584166702285,
      1.2495645913208695,
      1.2495706830375624,
      1.2495766930098628,
      1.249582622478482,
      1.249588472533379,
      1.2495942444203656,
      1.24959993908476,
      1.2496055574778446,
      1.2496111003545294,
      1.2496165687830612,
      1.24962196373924,
      1.2496272865147653,
      1.2496325379556585,
      1.2496377188703331,
      1.2496428303358753,
      1.2496478731396725,
      1.2496528484418963,
      1.2496577571662977,
      1.2496626002049682,
      1.2496673782668035,
      1.2496720921327342,
      1.2496767427584854,
      1.2496813309704093
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183467706554456,
      10.995084022137496,
      10.796523179977932,
      10.589223303448785,
      10.374616542132637,
      10.15414353743218,
      9.929364282966015,
      9.701859325080475,
      9.47305139571809,
      9.244293171736096,
      9.016850423922957,
      8.791853741358606,
      8.570260426682164,
      8.352835049506911,
      8.140137460790033,
      7.932521202928784,
      7.730142981324211,
      7.5329809471810885,
      7.340859037617474,
      7.153474712716253,
      6.970427825104261,
      6.791248069342168,
      6.6154177630494795,
      6.4423976233154026,
      6.271649817593138,
      6.102657034866946,
      5.934939217532772,
      5.768061960388282,
      5.601642936648974,
      5.435355782656085,
      5.268950126239407,
      5.10227068216347,
      4.935264541811228,
      4.767980047050407,
      4.600563865798401,
      4.433227864017229,
      4.266249719944911,
      4.100000353439539,
      3.934941420650329,
      3.7716059030515807,
      3.610563929264917,
      3.4524020296202504,
      3.297707808533283,
      3.1470542555217804,
      3.000982894829498,
      2.8599888557558972,
      2.7245108668001468,
      2.594922357304637,
      2.4715248850563367,
      2.3545469467196645,
      2.2441456374238706,
      2.140410375149357,
      2.0433693466011844,
      1.9529977737820363,
      1.869223430053292,
      1.7919343376166983,
      1.7209843675559633,
      1.6561981302308588,
      1.5973881571475752,
      1.544358372851409,
      1.4969048860444354,
      1.4548226342638606,
      1.4178833102537112,
      1.3857794587434404,
      1.3581037788744288,
      1.3343860907709706,
      1.314101692931959,
      1.2967099363419778,
      1.2817730385668011,
      1.268964283013297,
      1.2580072196459176,
      1.2486464088548812,
      1.2406537842502807,
      1.2338340398898617,
      1.2280191582365503,
      1.223065891952802,
      1.2188550613152176,
      1.2152849691077576,
      1.212267902224503,
      1.2097280115491156,
      1.2075997199802082,
      1.205826340403574,
      1.2043588491484647,
      1.2031548227599622,
      1.2021776058401987,
      1.2013955411696124,
      1.2007812908989033,
      1.2003112494070525,
      1.1999650360998761,
      1.1997250558565613,
      1.1995761198644845,
      1.1995051179508658,
      1.199500735297358,
      1.199553207433026,
      1.1996541090185069,
      1.1997961715146481,
      1.1999731248110546,
      1.2001795611757864,
      1.2004108177268642,
      1.2006628747191423,
      1.2009322676221506,
      1.2012160110840229,
      1.2015115343180716,
      1.201816623851635,
      1.2021293746749486,
      1.2024481483458105,
      1.202771536413328,
      1.2030983291587332,
      1.203427488336276,
      1.2037581235695103,
      1.2040894723691582,
      1.20442088252245,
      1.2047517971846917,
      1.2050817415830346,
      1.2054103117204222,
      1.2057371646560402,
      1.2060620105013122,
      1.2063846048476374,
      1.2067047421749275,
      1.207022251197453,
      1.207336989546608,
      1.207648840020461,
      1.2079577071744076,
      1.2082635141459295,
      1.2085662002686317,
      1.2088657185055716,
      1.2091620338173812,
      1.2094551213944653,
      1.2097449650050867,
      1.2100315562203912,
      1.210314892530727,
      1.2105949771491165,
      1.210871818008362,
      1.2111454270698836,
      1.2114158197905616,
      1.2116830144414854,
      1.2119470316342944,
      1.2122078941043892,
      1.2124656263446292,
      1.2127202543428857,
      1.2129718052196508,
      1.213220307070527,
      1.213465788708203,
      1.213708279761155,
      1.2139478103156036,
      1.214184410710212,
      1.21441811163642,
      1.2146489438828931,
      1.2148769385885823,
      1.2151021269365063,
      1.2153245399491086,
      1.215544208690233,
      1.2157611639582748,
      1.215975436741767,
      1.2161870579628993,
      1.2163960581699023,
      1.2166024675338671,
      1.2168063162521,
      1.2170076341372569,
      1.217206450968715,
      1.2174027963352974,
      1.217596699324811,
      1.2177881886197346,
      1.2179772928465877,
      1.218164040670791,
      1.2183484601791117,
      1.2185305792785812,
      1.2187104256375119,
      1.2188880262695414,
      1.2190634082360021,
      1.219236598229134,
      1.219407622612498,
      1.2195765074097644,
      1.2197432784967608,
      1.2199079614367005,
      1.2200705814169015,
      1.2202311634391654,
      1.2203897324080353,
      1.2205463126592757,
      1.2207009283013213,
      1.2208536034038615,
      1.2210043615756918,
      1.2211532262541818,
      1.221300220383754,
      1.2214453669077772,
      1.2215886883954024,
      1.221730207023939,
      1.2218699449168142,
      1.2220079239725772,
      1.222144165795239,
      1.2222786914206571,
      1.2224115220087457,
      1.22254267831475,
      1.2226721810756607,
      1.222800050582543,
      1.2229263071171126,
      1.223050970421429,
      1.2231740601845216,
      1.223295595765654,
      1.2234155963241196,
      1.2235340807450723,
      1.223651067717779,
      1.2237665758642615,
      1.2238806234607889,
      1.223993228667796,
      1.2241044092505589,
      1.2242141829100208,
      1.224322567053692,
      1.2244295788715551,
      1.2245352353605372,
      1.224639553399663,
      1.2247425497232967,
      1.224844240741398,
      1.2249446426646713,
      1.2250437714766926,
      1.2251416430583706,
      1.2252382732104197,
      1.225333677217883,
      1.2254278702280432,
      1.225520867373357,
      1.2256126836910994,
      1.2257033338395324,
      1.2257928322709626,
      1.225881193201342,
      1.2259684310880992,
      1.2260545599382071,
      1.2261395938365567,
      1.2262235464569848,
      1.226306431386692,
      1.2263882620434576,
      1.2264690517453625,
      1.2265488132714153,
      1.226627559337404,
      1.22670530271526,
      1.2267820560474347,
      1.2268578318644805,
      1.2269326425006863,
      1.227006500009515,
      1.2270794163839025,
      1.2271514036236226,
      1.2272224732942099,
      1.2272926366955728,
      1.2273619054880647,
      1.2274302908946262,
      1.227497804021627,
      1.2275644558741097,
      1.2276302573710682,
      1.22769521915696,
      1.2277593517181495,
      1.2278226654990358,
      1.227885171018217,
      1.2279468785777916,
      1.2280077980739639,
      1.2280679395193026,
      1.2281273126494832,
      1.228185927089465,
      1.228243792519075,
      1.2283009183302762,
      1.2283573138943351,
      1.2284129884729194,
      1.2284679511290535,
      1.228522211044674,
      1.2285757770753265,
      1.2286286578639811,
      1.228680862361614,
      1.2287323989235919,
      1.228783276135134,
      1.228833502365061,
      1.2288830857263457,
      1.2289320344941084,
      1.2289803565063766,
      1.229028059836167,
      1.2290751522935672,
      1.2291216417417286,
      1.2291675357004437,
      1.2292128417124955,
      1.2292575674047428,
      1.2293017201931382,
      1.2293453073946485,
      1.22938833603355,
      1.2294308133088339,
      1.2294727463495065,
      1.2295141419190554,
      1.2295550068824608,
      1.2295953481135604,
      1.229635172250143,
      1.2296744857027984,
      1.229713294917902,
      1.229751606386363,
      1.2297894264488485,
      1.2298267613552136,
      1.229863617221952,
      1.2299000002949245,
      1.229935916499799,
      1.2299713717043317,
      1.2300063719298417,
      1.2300409233084548,
      1.2300750313789568,
      1.230108701908348,
      1.2301419401363454,
      1.2301747515456378,
      1.2302071414621836,
      1.2302391154184023,
      1.2302706787537216,
      1.230301836875948,
      1.2303325946580674,
      1.2303629574623804,
      1.2303929302317707,
      1.2304225180050856,
      1.2304517258221699,
      1.2304805584253127,
      1.2305090207234912,
      1.2305371171375281,
      1.2305648524200123,
      1.2305922310510407,
      1.230619257753055,
      1.2306459369883143,
      1.2306722733719206,
      1.230698271372672,
      1.2307239352172432,
      1.2307492691502901,
      1.230774277439951,
      1.2307989641292958,
      1.23082333339774,
      1.2308473892613612,
      1.2308711356800244,
      1.2308945767152035,
      1.2309177162811407,
      1.2309405582008146,
      1.2309631063127509,
      1.230985364527075,
      1.2310073364236558,
      1.2310290253586118,
      1.2310504352827727,
      1.2310715696785381,
      1.2310924321749943,
      1.231113026298377,
      1.2311333553749484,
      1.2311534229933658,
      1.2311732324496827,
      1.2311927869044934,
      1.2312120896414287,
      1.2312311437661616,
      1.2312499527193803,
      1.2312685196199238,
      1.2312868475741847,
      1.23130493968022,
      1.2313227988283526,
      1.2313404280610785,
      1.231357830373589,
      1.2313750086669217,
      1.2313919657008658,
      1.2314087043520237,
      1.2314252274140542,
      1.2314415376522603,
      1.2314576381634328,
      1.2314735314640706,
      1.2314892199516732,
      1.2315047065183764,
      1.2315199936389838,
      1.231535083984818,
      1.2315499796640488,
      1.2315646833437397,
      1.2315791976428287,
      1.2315935250847725,
      1.2316076680499757,
      1.2316216289316004,
      1.231635409985999,
      1.2316490133357485,
      1.2316624413285444,
      1.231675696336813,
      1.2316887804555878,
      1.2317016960140232,
      1.2317144448661839,
      1.23172702930926,
      1.231739451679544,
      1.231751714101218,
      1.2317638184383082,
      1.2317757666022044,
      1.2317875609612707,
      1.2317992034282415,
      1.231810695768013,
      1.2318220400068844,
      1.2318332380282142,
      1.2318442917784584,
      1.231855202964497,
      1.2318659734119337,
      1.2318766049149192,
      1.2318870993401836,
      1.2318974585278517,
      1.2319076840393977,
      1.2319177776176162,
      1.231927741290625,
      1.2319375767132013,
      1.2319472855250644,
      1.2319568692512655,
      1.2319663295077459,
      1.231975667647182,
      1.2319848851679625,
      1.2319939838686267,
      1.232002965290552,
      1.2320118308728516,
      1.2320205824119652,
      1.2320292211482495,
      1.232037748429047,
      1.2320461655578274,
      1.2320544741010464,
      1.2320626754324295,
      1.2320707709890923,
      1.232078762273457,
      1.2320866506517656,
      1.2320944372032383,
      1.232102123179292,
      1.2321097098016307,
      1.2321171985183823,
      1.2321245907514815,
      1.2321318877968739,
      1.232139090724444,
      1.2321462006337753,
      1.2321532189099702,
      1.2321601466658367,
      1.232166985150319,
      1.2321737355467097,
      1.232180398923276,
      1.2321869763364117,
      1.2321934688320093,
      1.232199877650347,
      1.2322062037189252,
      1.2322124483659895,
      1.2322186126099768,
      1.2322246975170295,
      1.2322307038970604,
      1.2322366327119143,
      1.232242484873032,
      1.2322482615987815,
      1.2322539637037921,
      1.2322595922614779,
      1.2322651480966604,
      1.2322706321427095,
      1.2322760454428516,
      1.232281388795297,
      1.2322866630596316,
      1.2322918691070672,
      1.232297007923279,
      1.232302080202698,
      1.2323070870617028,
      1.2323120294295318,
      1.2323169080495757,
      1.2323217237855586,
      1.2323264774191172,
      1.2323311697017896,
      1.2323358015594439,
      1.2323403735847063,
      1.232344886750089,
      1.2323493416460238,
      1.2323537389904309,
      1.2323580797314548,
      1.2323623644381523,
      1.2323665935047305,
      1.2323707680668234,
      1.2323748885784445,
      1.232378955830126,
      1.2323829706446765,
      1.2323869336238977,
      1.2323908457089816,
      1.2323947075204031,
      1.2323985195622194,
      1.232402282273559,
      1.232405996385339,
      1.2324096624633398,
      1.2324132811124937,
      1.2324168530793345,
      1.2324203789478287,
      1.232423859241776,
      1.232427294527383,
      1.2324306853121243,
      1.2324340324524097,
      1.232437336442554,
      1.2324405977205923,
      1.232443816872391,
      1.23244699463238,
      1.2324501313757568,
      1.2324532277295221,
      1.2324562841662974,
      1.2324593011066227
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183471678979986,
      10.995102091460042,
      10.796576471729603,
      10.58933838998934,
      10.374821532658453,
      10.154468455987127,
      9.929846032971595,
      9.702528976423348,
      9.47393571502476,
      9.245417432822057,
      9.018238031047007,
      8.793525816393842,
      8.572235911145546,
      8.35513105992546,
      8.142769615556979,
      7.9355040302436,
      7.733490385546633,
      7.536706678097279,
      7.344977120001694,
      7.157999801737702,
      6.9753754620394615,
      6.796635112815978,
      6.621262747619083,
      6.448720125775682,
      6.278470206042533,
      6.109996086968155,
      5.942817608633947,
      5.776500613788378,
      5.610663333409176,
      5.444978809636574,
      5.279193366807134,
      5.113147402957005,
      4.946782749517321,
      4.780141605169516,
      4.613364652369895,
      4.446660895695526,
      4.2803012712081,
      4.114646378812485,
      3.9501482000605552,
      3.7873314133104943,
      3.626761505757081,
      3.469021180635081,
      3.3146957456894404,
      3.1643561773519417,
      3.0185435287349245,
      2.8777539612914125,
      2.7424277673689312,
      2.6129416687968576,
      2.4896018443914825,
      2.3726420225317932,
      2.2622248602646695,
      2.158445422086888,
      2.06133813094801,
      1.9708838242338311,
      1.8870151369269845,
      1.809624403089693,
      1.7385674984932096,
      1.673671448796792,
      1.6147527643279744,
      1.5616178906494302,
      1.5140648809041006,
      1.47188948294673,
      1.4348571066289404,
      1.4026524102963631,
      1.374862051523784,
      1.351009136626695,
      1.3305637216335875,
      1.3129847773769234,
      1.2978398974441256,
      1.2848057459326152,
      1.2736077411562783,
      1.2639917279290662,
      1.2557313967885897,
      1.2486326377080874,
      1.2425286058454883,
      1.2372772431268888,
      1.2327605400913944,
      1.2288779348742667,
      1.2255429063182546,
      1.2226806795172105,
      1.220226629826528,
      1.2181249140841606,
      1.216327284066002,
      1.214792058827782,
      1.2134832032367382,
      1.2123695555824252,
      1.2114242097627974,
      1.2106239397877137,
      1.2099486978764469,
      1.209381180719776,
      1.2089064542968444,
      1.208511630579183,
      1.2081855874106262,
      1.207918727214477,
      1.207702768487404,
      1.2075305656505664,
      1.2073959535712973,
      1.2072936136052939,
      1.2072189572713767,
      1.2071680265409663,
      1.2071374074047536,
      1.207124155583444,
      1.207125731789523,
      1.2071399464008001,
      1.2071649118940844,
      1.2071990008362097,
      1.2072408108505301,
      1.2072891332036044,
      1.2073429266472049,
      1.2074012942922756,
      1.2074634638892217,
      1.2075287706734843,
      1.2075966428032512,
      1.2076665884531312,
      1.2077381846985804,
      1.2078110683281666,
      1.2078849275023429,
      1.2079594946033696,
      1.2080345402661912,
      1.2081098682768256,
      1.2081853109239729,
      1.2082607250012525,
      1.2083359882502631,
      1.2084109965453087,
      1.208485661968471,
      1.2085599100930255,
      1.2086336778456055,
      1.208706912401377,
      1.2087795698394275,
      1.2088516131488798,
      1.2089230123308512,
      1.2089937423222359,
      1.2090637831142073,
      1.2091331190635521,
      1.2092017375489328,
      1.2092696293100171,
      1.2093367875193735,
      1.2094032075702814,
      1.20946888671469,
      1.209533823958202,
      1.2095980196014129,
      1.2096614751899422,
      1.2097241934155996,
      1.2097861774081502,
      1.2098474314016767,
      1.2099079601304852,
      1.2099677685308285,
      1.21002686240965,
      1.2100852479443749,
      1.2101429314375716,
      1.2101999193262059,
      1.2102562183435583,
      1.2103118352745639,
      1.2103667771691815,
      1.2104210513017062,
      1.2104746645708404,
      1.2105276242217502,
      1.2105799377038675,
      1.2106316122238474,
      1.2106826549592649,
      1.2107330732724597,
      1.2107828742123405,
      1.2108320649314306,
      1.2108806525943794,
      1.2109286443373108,
      1.2109760472271687,
      1.2110228681191264,
      1.211069114073397,
      1.2111147919582672,
      1.211159908663423,
      1.2112044708044052,
      1.211248484986548,
      1.2112919580177754,
      1.2113348965112845,
      1.2113773066913767,
      1.2114191950637991,
      1.2114605679669834,
      1.211501431682894,
      1.2115417922932619,
      1.2115816560442667,
      1.2116210288975615,
      1.211659916945762,
      1.2116983259631005,
      1.2117362619223817,
      1.2117737303929654,
      1.211810737209963,
      1.211847287821109,
      1.2118833878032278,
      1.211919042971828,
      1.2119542586262262,
      1.2119890402183833,
      1.2120233929026571,
      1.212057321899296,
      1.2120908323999577,
      1.2121239298294328,
      1.2121566189883803,
      1.2121889049250418,
      1.2122207926368975,
      1.2122522869762242,
      1.2122833927584733,
      1.2123141147691086,
      1.2123444577193545,
      1.212374426456486,
      1.2124040252582466,
      1.2124332588055846,
      1.212462131629523,
      1.2124906479138884,
      1.2125188120610921,
      1.212546628494589,
      1.2125741016651885,
      1.2126012356501934,
      1.2126280344135603,
      1.2126545022184307,
      1.2126806430734496,
      1.212706460840147,
      1.2127319597471393,
      1.2127571436328062,
      1.2127820165103698,
      1.212806582013889,
      1.212830844013706,
      1.2128548064185058,
      1.2128784727228608,
      1.2129018465208525,
      1.2129249315619877,
      1.212947731196711,
      1.2129702490934404,
      1.2129924887348635,
      1.213014453677176,
      1.213036147046389,
      1.2130575721530885,
      1.2130787322426673,
      1.2130996307542303,
      1.2131202710710638,
      1.213140656321834,
      1.2131607896392764,
      1.213180673961105,
      1.213200312441052,
      1.2132197079953917,
      1.2132388637649265,
      1.2132577826614144,
      1.2132764675242933,
      1.2132949212263504,
      1.2133131467793996,
      1.2133311469825192,
      1.2133489245784712,
      1.2133664823592196,
      1.213383822864586,
      1.2134009488436812,
      1.213417862851676,
      1.2134345675077436,
      1.2134510653970156,
      1.2134673591757437,
      1.2134834511681636,
      1.2134993441327608,
      1.2135150403504018,
      1.213530542034389,
      1.213545851944169,
      1.2135609723715168,
      1.2135759057034918,
      1.213590654273019,
      1.213605220260366,
      1.2136196060523077,
      1.2136338140419687,
      1.2136478462759577,
      1.213661704762483,
      1.2136753916776322,
      1.213688909164911,
      1.2137022591855107,
      1.2137154438771722,
      1.2137284652520093,
      1.213741325453477,
      1.2137540264542064,
      1.213766570058692,
      1.2137789582619614,
      1.2137911929471112,
      1.2138032758877713,
      1.213815209259352,
      1.2138269950825424,
      1.2138386348698418,
      1.2138501305435396,
      1.2138614838277348,
      1.2138726965560038,
      1.2138837705722192,
      1.2138947075295516,
      1.2139055089945545,
      1.2139161767036877,
      1.2139267122604807,
      1.2139371172394078,
      1.2139473932898808,
      1.2139575419350566,
      1.2139675647773265,
      1.213977463398959,
      1.2139872392623776,
      1.2139968938648937,
      1.2140064287406802,
      1.2140158453612198,
      1.2140251452390303,
      1.2140343298279903,
      1.2140434008306769,
      1.2140523596919321,
      1.214061207448193,
      1.214069945542926,
      1.2140785754216423,
      1.214087098330425,
      1.2140955154701893,
      1.214103828608841,
      1.2141120389644866,
      1.214120147614176,
      1.2141281558006043,
      1.214136064679353,
      1.2141438756257872,
      1.2141515898809432,
      1.2141592084513277,
      1.2141667326699856,
      1.2141741634861292,
      1.214181502127725,
      1.2141887498997503,
      1.2141959080333782,
      1.2142029773823435,
      1.2142099590347741,
      1.2142168541110168,
      1.2142236636634767,
      1.2142303888307815,
      1.2142370305848194,
      1.21424359019009,
      1.2142500684422484,
      1.2142564663814677,
      1.2142627849886378,
      1.21426902518669,
      1.2142751878927474,
      1.2142812740193745,
      1.2142872845775985,
      1.2142932205765276,
      1.2142990830247897,
      1.214304872931827,
      1.2143105910041765,
      1.2143162382568162,
      1.214321815607585,
      1.2143273238276437,
      1.214332763542467,
      1.2143381359448961,
      1.2143434416776484,
      1.2143486814955258,
      1.214353856368189,
      1.2143589669727939,
      1.2143640141018281,
      1.2143689985116017,
      1.214373921228624,
      1.2143787828386803,
      1.2143835838946666,
      1.2143883252734284,
      1.214393007871743,
      1.2143976326075734,
      1.2144022000143628,
      1.2144067106487169,
      1.2144111652946528,
      1.2144155646594479,
      1.2144199095780386,
      1.2144242008108137,
      1.2144284389427824,
      1.2144326244862362,
      1.214436757983167,
      1.2144408402093623,
      1.2144448718704228,
      1.2144488533991695,
      1.2144527855667406,
      1.2144566688730374,
      1.2144605040562861,
      1.2144642917379136,
      1.2144680323725376,
      1.2144717265028873,
      1.2144753746080172,
      1.2144789773582272,
      1.214482535412571,
      1.2144860492670915,
      1.2144895195608338,
      1.214492946974852,
      1.214496331826218,
      1.214499674577212,
      1.2145029758867838,
      1.2145062363062522,
      1.2145094563309007,
      1.214512636502428,
      1.2145157773079311,
      1.2145188791806265,
      1.2145219425003444,
      1.2145249680011088,
      1.214527956059886,
      1.2145309073076056,
      1.2145338219177901,
      1.2145367005225485,
      1.214539543501133,
      1.2145423511840383,
      1.2145451238533844,
      1.2145478620485617,
      1.2145505663634784,
      1.2145532370404681,
      1.2145558745809977,
      1.2145584794411313,
      1.2145610518286882,
      1.2145635924157507,
      1.2145661016273674,
      1.2145685797947423,
      1.214571027257466,
      1.2145734444656828,
      1.2145758317771949,
      1.2145781894071228,
      1.2145805178352314,
      1.2145828172977622,
      1.2145850882456437,
      1.2145873309382078,
      1.2145895458504006,
      1.2145917331647942,
      1.2145938932805225,
      1.2145960266611877,
      1.2145981335812344,
      1.2146002141770953,
      1.2146022689561504,
      1.2146042981869136,
      1.2146063021029612,
      1.2146082812083703,
      1.2146102360750801,
      1.2146121665295833,
      1.2146140730771906,
      1.214615956139563,
      1.214617815801023,
      1.2146196523172956,
      1.2146214661668502,
      1.2146232575427314,
      1.2146250265562633,
      1.214626773593507,
      1.2146284989086158,
      1.2146302028786475,
      1.2146318855970517,
      1.2146335473826397,
      1.2146351885763205,
      1.2146368095925988,
      1.214638410614903,
      1.2146399919519044,
      1.2146415537326356,
      1.2146430960085906,
      1.214644619058884,
      1.2146461232380632,
      1.2146476087221758,
      1.2146490757126298,
      1.214650524334582,
      1.2146519549424357,
      1.214653367764166,
      1.2146547632069005,
      1.2146561414504655,
      1.2146575027529705,
      1.2146588470440345,
      1.2146601746369925,
      1.2146614857205884,
      1.2146627803592047,
      1.2146640588999673,
      1.2146653214644496,
      1.2146665684576048,
      1.2146678000595952,
      1.2146690163277467,
      1.2146702175019075,
      1.2146714040047883,
      1.214672576035466,
      1.2146737335697602,
      1.2146748764619373,
      1.2146760048513952,
      1.2146771190103067,
      1.2146782193440444,
      1.2146793060863332,
      1.2146803795032128,
      1.214681439435545,
      1.214682486214462,
      1.2146835199495705,
      1.2146845409361287,
      1.2146855493502058,
      1.2146865453506197,
      1.2146875291810237,
      1.2146885004579207,
      1.2146894595437188,
      1.2146904067332107,
      1.2146913421523569,
      1.214692266063575,
      1.2146931788153417,
      1.2146940801303772,
      1.214694970122728
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183475370227974,
      10.995120068604335,
      10.796630254122565,
      10.589454646622045,
      10.37502838082379,
      10.154797729021565,
      9.93033638015584,
      9.70321158272776,
      9.474837457930812,
      9.246563658222037,
      9.01965215700916,
      8.795228922572246,
      8.574246847945092,
      8.357466815874977,
      8.145445653232148,
      7.938534705008618,
      7.736889419835361,
      7.540487637722162,
      7.349153848874667,
      7.162586779678845,
      6.980388063125429,
      6.802090048073635,
      6.6271784350157255,
      6.455116031901646,
      6.285366595733164,
      6.1174136401705175,
      5.950776910179468,
      5.785022539552537,
      5.619769053311132,
      5.454689288344254,
      5.289526269943979,
      5.124116075253286,
      4.958395275150783,
      4.792399926366687,
      4.626264777137999,
      4.460196181219681,
      4.294458347877562,
      4.129402478474745,
      3.96546971375739,
      3.803175943828796,
      3.6430820327160793,
      3.485767174485335,
      3.3318143150493196,
      3.181792250112342,
      3.03624140090824,
      2.895658838345535,
      2.7604865579100584,
      2.631104150662645,
      2.507822338621031,
      2.390880030707313,
      2.280445419967048,
      2.176619472609079,
      2.07944284727719,
      1.9889017659914223,
      1.9049337681608147,
      1.8274352606184432,
      1.7562639157807531,
      1.6912502861256833,
      1.6322145837415099,
      1.5789655057224865,
      1.5313031330044704,
      1.4890227239027611,
      1.4518831093949998,
      1.4195624588096183,
      1.391642245809504,
      1.3676392260474008,
      1.3470187106578113,
      1.3292398486981494,
      1.3138751852462158,
      1.3006044379599568,
      1.2891550848993154,
      1.2792741574223472,
      1.2707370570083418,
      1.2633505132389078,
      1.256949220135888,
      1.2513924575306474,
      1.2465631198931941,
      1.2423617484321134,
      1.2387029101440146,
      1.2355128964405084,
      1.2327280261868356,
      1.2302932896224918,
      1.228161174163406,
      1.226290647012858,
      1.224646274785959,
      1.2231974613619894,
      1.221917782157212,
      1.2207843890830108,
      1.2197775486174167,
      1.2188802311385898,
      1.2180777403013128,
      1.2173573936276705,
      1.2167082463937824,
      1.2161208528628211,
      1.2155870611854775,
      1.2150998354728477,
      1.2146531026940206,
      1.2142416204996034,
      1.2138608633162244,
      1.2135069235180607,
      1.2131764267878504,
      1.21286645906695,
      1.2125745033223971,
      1.212298384675109,
      1.2120362235133746,
      1.2117863949014598,
      1.2115474938240045,
      1.211318305049606,
      1.2110977767598214,
      1.2108849983667307,
      1.2106791808099797,
      1.2104796402744473,
      1.2102857834743763,
      1.2100970954005092,
      1.209913128598024,
      1.2097334937568303,
      1.209557851907331,
      1.2093859075494198,
      1.209217402858171,
      1.2090521120933877,
      1.208889837477294,
      1.2087304055683923,
      1.2085736636685012,
      1.208419476715667,
      1.2082677257277268,
      1.2081183051483233,
      1.2079711207710775,
      1.207826088849214,
      1.2076831343037624,
      1.2075421898085428,
      1.2074031941225642,
      1.2072660920077498,
      1.207130833188351,
      1.2069973716223368,
      1.206865664829341,
      1.2067356737831976,
      1.2066073625039022,
      1.2064806973483415,
      1.2063556466605487,
      1.2062321808822563,
      1.2061102720050745,
      1.2059898936351943,
      1.2058710206024716,
      1.2057536287745825,
      1.2056376952794607,
      1.2055231982718468,
      1.2054101164974045,
      1.2052984293665667,
      1.2051881170799519,
      1.2050791605006448,
      1.2049715407219885,
      1.2048652397040316,
      1.2047602398936093,
      1.204656523896091,
      1.2045540746558414,
      1.204452875586465,
      1.2043529103452704,
      1.2042541630153485,
      1.2041566180843095,
      1.2040602601187689,
      1.2039650739472982,
      1.203871044742097,
      1.2037781580502656,
      1.2036863993166944,
      1.2035957544752547,
      1.2035062096248714,
      1.20341775080757,
      1.203330364549506,
      1.203244037537711,
      1.2031587566024406,
      1.2030745087504306,
      1.202991281300099,
      1.2029090617120797,
      1.202827837470727,
      1.2027475961690486,
      1.2026683257464232,
      1.202590014167248,
      1.2025126496082044,
      1.2024362205442405,
      1.2023607154785805,
      1.2022861228764996,
      1.2022124315567693,
      1.2021396304220726,
      1.2020677086985876,
      1.2019966556161517,
      1.2019264604954936,
      1.2018571129372144,
      1.2017886023499686,
      1.201720918648314,
      1.201654051831928,
      1.2015879917687748,
      1.201522728588328,
      1.201458252464551,
      1.2013945538061173,
      1.201331623294175,
      1.2012694514119449,
      1.2012080287369309,
      1.2011473463351152,
      1.2010873951382701,
      1.2010281661350062,
      1.2009696505112781,
      1.2009118395364335,
      1.2008547248057426,
      1.2007982976184064,
      1.2007425497288193,
      1.2006874729281387,
      1.2006330590331984,
      1.2005793001296277,
      1.2005261881540001,
      1.2004737151879992,
      1.200421873498538,
      1.2003706555269018,
      1.2003200535733076,
      1.200270060193275,
      1.2002206678821359,
      1.2001718693699321,
      1.2001236573570468,
      1.200076024809393,
      1.20002896454175,
      1.1999824695638817,
      1.1999365331218808,
      1.1998911485869992,
      1.1998463093956864,
      1.1998020088370038,
      1.1997582403486657,
      1.1997149974060577,
      1.1996722737168375,
      1.1996300632121817,
      1.1995883595296435,
      1.1995471564113664,
      1.1995064478988462,
      1.1994662281212096,
      1.1994264911852484,
      1.1993872311165235,
      1.1993484421054523,
      1.1993101184989128,
      1.1992722545892176,
      1.199234844656926,
      1.1991978834207642,
      1.1991613655215982,
      1.1991252856674777,
      1.1990896385755394,
      1.1990544188628056,
      1.1990196212423054,
      1.1989852405663655,
      1.1989512719212598,
      1.1989177104678521,
      1.1988845510276986,
      1.1988517889916916,
      1.1988194196012645,
      1.1987874380944927,
      1.198755839699331,
      1.1987246196778527,
      1.1986937735740395,
      1.1986632969022069,
      1.1986331850899044,
      1.1986034339294585,
      1.1985740391140889,
      1.1985449961301782,
      1.1985163008615616,
      1.1984879489730489,
      1.1984599364132074,
      1.198432259205222,
      1.1984049132377674,
      1.1983778944627153,
      1.198351199092999,
      1.19832482354638,
      1.1982987638300018,
      1.1982730158908366,
      1.198247575864414,
      1.198222440374656,
      1.1981976058166688,
      1.1981730686063237,
      1.1981488249207892,
      1.198124871252693,
      1.1981012040999035,
      1.1980778199608064,
      1.1980547156343462,
      1.1980318876561065,
      1.1980093326494927,
      1.1979870471174336,
      1.1979650279971323,
      1.1979432720961136,
      1.1979217763420624,
      1.1979005376768046,
      1.1978795530010728,
      1.197858819170178,
      1.1978383330912108,
      1.1978180919731776,
      1.1977980929160603,
      1.1977783327540517,
      1.1977588086106712,
      1.1977395177420858,
      1.1977204573298026,
      1.1977016247310248,
      1.1976830170679151,
      1.197664631834041,
      1.1976464664328952,
      1.1976285180726107,
      1.1976107840671242,
      1.197593261832412,
      1.1975759489846398,
      1.1975588431332065,
      1.197541941521332,
      1.1975252416325988,
      1.1975087410855911,
      1.1974924375797515,
      1.1974763286885346,
      1.1974604119068375,
      1.1974446853089848,
      1.1974291465791602,
      1.1974137931608522,
      1.1973986231181455,
      1.1973836342171564,
      1.1973688244316798,
      1.197354191533204,
      1.197339733393138,
      1.1973254479288564,
      1.1973113327954907,
      1.1972973861965401,
      1.1972836062709196,
      1.1972699908868087,
      1.1972565379438491,
      1.1972432453701123,
      1.197230111526227,
      1.1972171343890161,
      1.1972043121591558,
      1.1971916429025027,
      1.1971791246999643,
      1.1971667558990415,
      1.1971545348063732,
      1.1971424597361031,
      1.1971305288549445,
      1.1971187403322103,
      1.1971070924388185,
      1.197095583646699,
      1.1970842122195995,
      1.197072976414139,
      1.197061874477254,
      1.1970509048472822,
      1.1970400661516547,
      1.1970293568489023,
      1.1970187752264794,
      1.1970083198052328,
      1.1969979891338156,
      1.1969877818375763,
      1.1969776963112622,
      1.196967731072887,
      1.1969578845073563,
      1.1969481553218437,
      1.1969385422896506,
      1.1969290439941038,
      1.1969196590300133,
      1.19691038605269,
      1.1969012236232048,
      1.1968921705117088,
      1.1968832253394415,
      1.1968743868821419,
      1.1968656540681766,
      1.1968570254174764,
      1.1968484996500375,
      1.1968400754294974,
      1.1968317516156879,
      1.1968235270086056,
      1.196815400550291,
      1.1968073711706713,
      1.1967994375824578,
      1.196791598686422,
      1.1967838531626838,
      1.1967761998759834,
      1.1967686378230593,
      1.1967611660295283,
      1.196753783243217,
      1.1967464884920689,
      1.1967392805739014,
      1.1967321584109087,
      1.1967251211497574,
      1.196718167702661,
      1.1967112970509592,
      1.1967045083962635,
      1.196697800803329,
      1.19669117309683,
      1.1966846243176437,
      1.1966781535687416,
      1.196671760064923,
      1.1966654428263965,
      1.1966592008299808,
      1.196653033211123,
      1.1966469392118377,
      1.1966409178743764,
      1.1966349683959452,
      1.1966290898732148,
      1.1966232814536235,
      1.1966175421306657,
      1.1966118709969482,
      1.1966062673952313,
      1.1966007306124486,
      1.1965952599805105,
      1.1965898543664686,
      1.1965845132392157,
      1.1965792358548415,
      1.196574021459037,
      1.196568869336934,
      1.1965637784558867,
      1.1965587482779776,
      1.1965537782505689,
      1.1965488673476334,
      1.1965440150349012,
      1.196539220556824,
      1.1965344832407134,
      1.196529802444977,
      1.1965251775072587,
      1.1965206074891905,
      1.1965160919382074,
      1.1965116300726486,
      1.1965072211370176,
      1.196502864604376,
      1.1964985600227953,
      1.196494306811357,
      1.1964901043102394,
      1.1964859520340623,
      1.1964818493659013,
      1.1964777956582637,
      1.1964737902829818,
      1.1964698325285947,
      1.1964659218027311,
      1.196462057580478,
      1.1964582393018797,
      1.1964544664728187,
      1.1964507384608831,
      1.1964470547996906,
      1.1964434150355607,
      1.1964398185742777,
      1.1964362647311197,
      1.1964327531876728,
      1.19642928368623,
      1.1964258556224,
      1.1964224683494356,
      1.1964191213808981,
      1.1964158142880827,
      1.1964125465977893,
      1.1964093178932784,
      1.1964061277120166,
      1.196402975443258,
      1.1963998604797146,
      1.1963967826746689,
      1.196393741527603,
      1.1963907365397635,
      1.1963877672642917,
      1.196384833254623,
      1.1963819343691808,
      1.1963790701606596,
      1.1963762400280193,
      1.196373443673425,
      1.196370680694919,
      1.196367950636683,
      1.1963652532427413,
      1.1963625881004696,
      1.1963599545383041,
      1.1963573521334891,
      1.196354780609661,
      1.1963522397348063,
      1.1963497291173388,
      1.19634724846001,
      1.196344797355917,
      1.1963423754914122,
      1.19633998244224,
      1.196337617927163,
      1.1963352817568174,
      1.1963329732228958,
      1.1963306922163168,
      1.1963284385148631,
      1.1963262117320748,
      1.196324011469161,
      1.196321837518103,
      1.1963196896577069,
      1.1963175673480964,
      1.1963154703913246,
      1.196313398320562,
      1.1963113509591166,
      1.1963093278095551,
      1.196307328612777,
      1.1963053530931107,
      1.1963034010597349,
      1.1963014723046677
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.18347872767621,
      10.995137504630899,
      10.796683233191025,
      10.589569910455305,
      10.375234087166993,
      10.155126147865708,
      9.93082675768147,
      9.70389556569796,
      9.47574238632513,
      9.247715303030557,
      9.021074300538807,
      8.796942943841433,
      8.57627183269221,
      8.359819923578785,
      8.148142461124065,
      7.941589633539285,
      7.740316213710221,
      7.5442998501193586,
      7.353365282710345,
      7.167211853416686,
      6.985442074284312,
      6.807589562204428,
      6.633141749294678,
      6.461562568806169,
      6.292316579187033,
      6.124887719240721,
      5.958795651200967,
      5.793606854184628,
      5.628939818531553,
      5.464467396253921,
      5.299929609297569,
      5.135158224998506,
      4.97008456988366,
      4.804738574095233,
      4.639248860614843,
      4.473819353057471,
      4.308707806636089,
      4.144255967701038,
      3.9808943456854737,
      3.8191298873443253,
      3.6595184542588313,
      3.502635135077974,
      3.349060450116138,
      3.199361353929348,
      3.054077457855736,
      2.9137065745621986,
      2.7786926041611455,
      2.6494176846037654,
      2.526196791757091,
      2.4092739458191943,
      2.298822832922125,
      2.19495054271206,
      2.0977038137440327,
      2.007074185321153,
      1.923004136765423,
      1.8453939964133832,
      1.7741031651025396,
      1.7089661256107351,
      1.6498066933578643,
      1.5964358779046328,
      1.5486558338381897,
      1.5062594947604544,
      1.4689994850380803,
      1.4365492105339424,
      1.4084843975148165,
      1.3843171706275699,
      1.3635083869799858,
      1.3455174838341677,
      1.329921586209014,
      1.3164032645666677,
      1.3046920813576173,
      1.2945363717416627,
      1.2857130163705077,
      1.2780297365386923,
      1.2713228328977864,
      1.2654528580286215,
      1.260303515285527,
      1.2557765397261482,
      1.2517874607700672,
      1.2482636290316076,
      1.2451422975070618,
      1.2423692801607669,
      1.239897788735751,
      1.237687426641473,
      1.2357033182328974,
      1.2339153555903228,
      1.232297547472532,
      1.2308274564835726,
      1.2294857134046049,
      1.2282555962906527,
      1.2271226569744027,
      1.2260744020489154,
      1.2251000447067844,
      1.2241902734157135,
      1.2233370490433324,
      1.2225334294985035,
      1.2217734189474252,
      1.2210518376691166,
      1.2203642092458034,
      1.2197066642950944,
      1.2190758566103228,
      1.2184688912015276,
      1.2178832620127225,
      1.2173167988835516,
      1.2167676208911273,
      1.2162340965742373,
      1.2157148099723027,
      1.2152085306558151,
      1.2147141884735242,
      1.2142308517123064,
      1.2137577077262538,
      1.2132940467730249,
      1.2128392480704298,
      1.2123927672408708,
      1.2119541263485043,
      1.2115229047866933,
      1.211098731258075,
      1.2106812772437159,
      1.2102702511898462,
      1.209865393200964,
      1.2094664714533847,
      1.2090732779842683,
      1.208685625478637,
      1.2083033445414253,
      1.2079262815015062,
      1.207554296490794,
      1.207187261388862,
      1.206825058291493,
      1.2064675783487588,
      1.206114720360245,
      1.2057663898892164,
      1.2054224986904287,
      1.2050829638915503,
      1.2047477071307886,
      1.2044166542596353,
      1.2040897347966468,
      1.203766881334925,
      1.203448029207691,
      1.2031331164625887,
      1.2028220833813112,
      1.2025148725108763,
      1.2022114279341565,
      1.2019116957636937,
      1.20161562356907,
      1.201323160213301,
      1.2010342558939828,
      1.2007488619316364,
      1.2004669308647067,
      1.2001884162404677,
      1.1999132725088337,
      1.1996414551208008,
      1.1993729204242136,
      1.1991076255098563,
      1.1988455283126347,
      1.1985865873066202,
      1.1983307618111791,
      1.1980780118909164,
      1.197828298205723,
      1.197581582166475,
      1.1973378255319875,
      1.1970969905660411,
      1.196859040550761,
      1.196623938876789,
      1.196391649659782,
      1.1961621371874538,
      1.1959353668421486,
      1.195711304091471,
      1.1954899151574907,
      1.1952711666699058,
      1.1950550256243118,
      1.194841459646279,
      1.1946304364930258,
      1.1944219245726542,
      1.1942158927517434,
      1.1940123101635465,
      1.1938111464743502,
      1.193612371539845,
      1.1934159559264437,
      1.1932218703651827,
      1.193030086325093,
      1.1928405755187788,
      1.1926533099173622,
      1.1924682620197187,
      1.192285404461085,
      1.1921047103341522,
      1.1919261530015144,
      1.1917497064176723,
      1.1915753447390824,
      1.1914030424943536,
      1.1912327744493416,
      1.1910645156760646,
      1.190898241774691,
      1.1907339285364222,
      1.1905715520136946,
      1.190411088641378,
      1.1902525149514862,
      1.1900958081020419,
      1.1899409455926189,
      1.189787904776774,
      1.189636663544505,
      1.189487199885938,
      1.1893394924218377,
      1.1891935199681642,
      1.1890492615081125,
      1.1889066963675021,
      1.188765804238246,
      1.1886265647950802,
      1.188488957973683,
      1.1883529641472497,
      1.1882185638967924,
      1.188085738137609,
      1.1879544678902327,
      1.1878247346618191,
      1.187696519912623,
      1.18756980513267,
      1.187444572325449,
      1.1873208037292677,
      1.1871984816404153,
      1.187077588796322,
      1.1869581081484761,
      1.186840022992,
      1.1867233166376012,
      1.1866079724906933,
      1.186493974232103,
      1.186381305846708,
      1.1862699513980994,
      1.1861598951592833,
      1.1860511218455911,
      1.185943616084888,
      1.1858373628035008,
      1.1857323469001542,
      1.1856285537340834,
      1.1855259686468158,
      1.1854245772981389,
      1.1853243655445547,
      1.1852253193688447,
      1.1851274249115222,
      1.1850306686551018,
      1.1849350370493752,
      1.1848405166959635,
      1.1847470944823413,
      1.1846547575128268,
      1.1845634929379285,
      1.184473287885599,
      1.1843841297993216,
      1.184296006420701,
      1.1842089055687415,
      1.1841228152246244,
      1.1840377234639066,
      1.1839536183382866,
      1.1838704882656743,
      1.1837883218613319,
      1.1837071076167012,
      1.1836268342393255,
      1.183547490382491,
      1.1834690655451197,
      1.1833915487850526,
      1.1833149293650729,
      1.183239196941045,
      1.1831643409370338,
      1.1830903509882071,
      1.1830172169261095,
      1.1829449287641147,
      1.1828734768362077,
      1.1828028509691597,
      1.1827330414346866,
      1.1826640385794858,
      1.1825958330150472,
      1.1825284155026068,
      1.182461776940032,
      1.1823959080943611,
      1.1823307999957868,
      1.1822664434669303,
      1.1822028299745462,
      1.1821399509052217,
      1.1820777976548462,
      1.1820163617180484,
      1.181955634675909,
      1.181895608336693,
      1.1818362741135562,
      1.1817776239788487,
      1.1817196500964728,
      1.1816623447598635,
      1.1816056999229425,
      1.1815497078500286,
      1.1814943612064182,
      1.1814396523864799,
      1.181385573909817,
      1.1813321185120451,
      1.1812792790327715,
      1.1812270482017164,
      1.1811754188318273,
      1.1811243838087353,
      1.1810739362332516,
      1.1810240693095282,
      1.180974776335341,
      1.1809260507941797,
      1.1808778858370579,
      1.1808302750865198,
      1.1807832122714197,
      1.1807366908107098,
      1.180690704414544,
      1.1806452470242335,
      1.1806003124473177,
      1.1805558945012349,
      1.1805119871060796,
      1.180468584581077,
      1.1804256808222382,
      1.1803832701584775,
      1.180341346732752,
      1.1802999050023877,
      1.1802589394257463,
      1.1802184444541628,
      1.1801784145238168,
      1.180138844454679,
      1.1800997289342139,
      1.1800610624588133,
      1.1800228398343962,
      1.1799850560162959,
      1.1799477058983585,
      1.1799107846107146,
      1.1798742872075432,
      1.17983820860889,
      1.1798025439493098,
      1.1797672886725792,
      1.179732438117965,
      1.1796979874626603,
      1.1796639322742501,
      1.179630267893815,
      1.1795969894798801,
      1.179564092611862,
      1.1795315730292104,
      1.179499426523405,
      1.179467648524793,
      1.1794362347064038,
      1.1794051811301984,
      1.1793744835290572,
      1.179344137860173,
      1.1793141398920381,
      1.1792844857578972,
      1.1792551715430613,
      1.1792261931264854,
      1.1791975468362241,
      1.1791692287316875,
      1.17914123495388,
      1.1791135618724862,
      1.1790862058769798,
      1.1790591631678082,
      1.1790324301068842,
      1.1790060033140204,
      1.1789798792549466,
      1.1789540544395574,
      1.1789285256712072,
      1.178903289177098,
      1.1788783417728579,
      1.1788536802473821,
      1.1788293009000799,
      1.1788052004512228,
      1.1787813759862977,
      1.1787578242902155,
      1.178734542198759,
      1.178711526644835,
      1.1786887743994574,
      1.1786662823722822,
      1.1786440476070172,
      1.1786220673787842,
      1.1786003385287462,
      1.1785788582225987,
      1.178557623691898,
      1.1785366320774304,
      1.1785158804249722,
      1.1784953660878208,
      1.1784750863668643,
      1.1784550386082593,
      1.1784352202503763,
      1.1784156285656602,
      1.1783962608601461,
      1.1783771145202766,
      1.1783581870598117,
      1.1783394761162778,
      1.1783209792439144,
      1.1783026938083028,
      1.1782846173894759,
      1.178266747676584,
      1.178249082362614,
      1.1782316191410547,
      1.1782143554990172,
      1.1781972890186438,
      1.1781804176788246,
      1.178163739038143,
      1.1781472509436275,
      1.1781309515273564,
      1.1781148383898274,
      1.1780989093595315,
      1.1780831623370334,
      1.1780675951900366,
      1.178052205903023,
      1.1780369925232017,
      1.178021953055862,
      1.1780070854615456,
      1.1779923876529672,
      1.1779778577970699,
      1.1779634940071417,
      1.1779492941363918,
      1.1779352564871588,
      1.177921379095984,
      1.177907660188692,
      1.1778940979232642,
      1.1778806905907355,
      1.1778674364089194,
      1.1778543336217004,
      1.1778413803437469,
      1.1778285747611172,
      1.1778159155865302,
      1.1778034010907728,
      1.1777910294563136,
      1.177778798978029,
      1.1777667080606076,
      1.1777547551145042,
      1.177742938858859,
      1.1777312576072076,
      1.1777197098755448,
      1.1777082941766277,
      1.17769700896687,
      1.1776858524913532,
      1.177674823391812,
      1.1776639201957895,
      1.1776531412634874,
      1.1776424851415643,
      1.1776319505609203,
      1.1776215362312636,
      1.1776112408901303,
      1.1776010631991967,
      1.1775910017423392,
      1.1775810551252681,
      1.1775712220750918,
      1.1775615012350291,
      1.1775518911114295,
      1.177542390580317,
      1.1775329983260516,
      1.1775237130429264,
      1.1775145337892345,
      1.177505459273781,
      1.1774964881591135,
      1.1774876194665056,
      1.1774788519639139,
      1.177470184571284,
      1.1774616160536522,
      1.1774531453244912,
      1.1774447711388718,
      1.1774364924986023,
      1.1774283083454447,
      1.1774202174578385,
      1.1774122187543048,
      1.1774043113426387,
      1.1773964942642816,
      1.177388766441954,
      1.1773811268307326,
      1.1773735745182237,
      1.1773661084179068,
      1.1773587272675212,
      1.1773514303394215,
      1.1773442167272348,
      1.1773370854462548,
      1.1773300354320302,
      1.177323065640437,
      1.1773161751478398,
      1.1773093633532727,
      1.1773026291635227,
      1.1772959720090737,
      1.1772893908256465,
      1.177282884459606,
      1.1772764522767152,
      1.177270093652535,
      1.1772638077678927,
      1.1772575936077494,
      1.1772514503666107,
      1.1772453770402715,
      1.177239372882335,
      1.177233436945068,
      1.1772275685359483,
      1.1772217669621718,
      1.1772160315296283,
      1.1772103614910738,
      1.1772047561467296
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183481537557613,
      10.995153499432364,
      10.796734446198846,
      10.58968321966676,
      10.375437810597957,
      10.155453048517817,
      9.931317284808836,
      9.704581997944326,
      9.476652718846966,
      9.248875908693789,
      9.022509492935608,
      8.79867454771008,
      8.5783193063257,
      8.362200743351554,
      8.150872452653322,
      7.944683403548206,
      7.743787641289179,
      7.548162581652143,
      7.357633185072607,
      7.171899388393439,
      6.990564572230857,
      6.813163384073326,
      6.63918505023753,
      6.468094890025664,
      6.29935827181072,
      6.132459569955367,
      5.966918379386718,
      5.802301395622904,
      5.638226861219534,
      5.474367762645937,
      5.310461619470352,
      5.146335876357276,
      4.981916602531096,
      4.817227587437737,
      4.652390503812884,
      4.487606247201813,
      4.323127821418905,
      4.159287395652138,
      3.996505154336703,
      3.8352788896977743,
      3.67615835803818,
      3.5197148803087437,
      3.366526338203661,
      3.2171577940718867,
      3.072147862163036,
      2.9319949267698266,
      2.797144899312203,
      2.6679825091949647,
      2.544826440923745,
      2.4279257757265795,
      2.317459811995606,
      2.2135419656485196,
      2.1162247379400436,
      2.0255050274128537,
      1.941330317638553,
      1.863604120351671,
      1.7921881943808686,
      1.7269212089107833,
      1.6676306635139886,
      1.6141299501950288,
      1.566223351830492,
      1.523701323296892,
      1.4863104462791716,
      1.4537196405205184,
      1.42549908387429,
      1.4011566114364864,
      1.3801486068436597,
      1.3619352045732425,
      1.3460977530391285,
      1.3323214936456436,
      1.3203380613957794,
      1.3098974703930442,
      1.300777906166115,
      1.2927885608597323,
      1.2857672058325949,
      1.279575588118914,
      1.2740981550908639,
      1.2692379507124267,
      1.2649114363400122,
      1.261046921172513,
      1.2575825969857477,
      1.2544651017900323,
      1.251648369862032,
      1.2490926365822839,
      1.2467635781125348,
      1.2446315671369754,
      1.242671030124022,
      1.2408598917019795,
      1.2391790947468286,
      1.237612185914178,
      1.2361449583518127,
      1.2347651428978925,
      1.2334621418935847,
      1.232226799104108,
      1.2310512013024297,
      1.2299285077559508,
      1.2288527969101863,
      1.2278189347844046,
      1.2268224771990175,
      1.2258595761709299,
      1.224926898208556,
      1.2240215534471777,
      1.2231410342207465,
      1.2222831622863903,
      1.22144604397902,
      1.2206280306481903,
      1.2198276852463583,
      1.2190437530440128,
      1.218275136691076,
      1.217520874525728,
      1.2167801224605665,
      1.2160521373888,
      1.2153362638706289,
      1.214631922201196,
      1.2139385977942874,
      1.2132558324280904,
      1.2125832167826374,
      1.2119203840558244,
      1.2112670041414966,
      1.210622778820119,
      1.209987437396179,
      1.2093607331329175,
      1.208742440378248,
      1.2081323515132005,
      1.2075302747876981,
      1.2069360323788607,
      1.206349458720957,
      1.2057703985957742,
      1.2051987062528857,
      1.204634244286687,
      1.204076882625225,
      1.2035264976292472,
      1.2029829711986917,
      1.2024461905975898,
      1.201916047725634,
      1.201392438394602,
      1.2008752619145804,
      1.2003644209886382,
      1.1998598217641772,
      1.1993613730736992,
      1.1988689862888458,
      1.198382574820761,
      1.197902054487401,
      1.197427342967263,
      1.1969583598145213,
      1.1964950267301768,
      1.1960372669706079,
      1.1955850050627264,
      1.1951381671304837,
      1.1946966806123591,
      1.1942604742343008,
      1.1938294781364238,
      1.1934036238991248,
      1.1929828440109467,
      1.192567072354615,
      1.1921562433207349,
      1.1917502926511645,
      1.191349157164456,
      1.1909527747876276,
      1.1905610844360874,
      1.1901740259963374,
      1.189791539953134,
      1.1894135679329563,
      1.1890400523325948,
      1.1886709363554016,
      1.1883061641499382,
      1.1879456806442354,
      1.1875894317876665,
      1.187237364132503,
      1.1868894248228112,
      1.1865455622450753,
      1.1862057248996882,
      1.1858698625615156,
      1.185537925610352,
      1.1852098648705596,
      1.1848856319597765,
      1.1845651792822602,
      1.184248459666895,
      1.1839354269719093,
      1.183626035419153,
      1.1833202398440272,
      1.1830179956407938,
      1.1827192590646836,
      1.1824239868223962,
      1.1821321363754675,
      1.1818436658371603,
      1.181558533717695,
      1.1812766990256447,
      1.1809981213190819,
      1.1807227607571171,
      1.1804505779485008,
      1.1801815342587954,
      1.1799155914566766,
      1.17965271186959,
      1.179392858132801,
      1.1791359935493133,
      1.1788820816873453,
      1.1786310867920038,
      1.1783829736379294,
      1.1781377074337098,
      1.1778952538281335,
      1.177655579018971,
      1.1774186495060686,
      1.1771844323025302,
      1.1769528947904824,
      1.1767240047297025,
      1.1764977304192679,
      1.1762740406054928,
      1.176052904186904,
      1.1758342908349562,
      1.175618170394798,
      1.1754045129474235,
      1.1751932891264563,
      1.1749844699776628,
      1.1747780270733856,
      1.1745739324241211,
      1.1743721580345161,
      1.1741726761713343,
      1.1739754600387577,
      1.173780482623521,
      1.1735877173200866,
      1.1733971380985584,
      1.1732087188592542,
      1.1730224341098436,
      1.1728382588800896,
      1.1726561684847723,
      1.1724761381850772,
      1.1722981438163014,
      1.1721221616535755,
      1.1719481679725599,
      1.1717761394240962,
      1.1716060528497478,
      1.1714378855046066,
      1.1712716150768896,
      1.1711072195557144,
      1.1709446769466003,
      1.1707839656481298,
      1.1706250643204512,
      1.170467951957692,
      1.1703126077062316,
      1.1701590108359015,
      1.1700071411691135,
      1.169856978493113,
      1.1697085029899892,
      1.1695616950054104,
      1.1694165352247543,
      1.1692730048496607,
      1.1691310849104273,
      1.1689907567990627,
      1.1688520021923388,
      1.1687148028733858,
      1.1685791407570192,
      1.1684449980678588,
      1.16831235726427,
      1.1681812012679351,
      1.1680515128803115,
      1.1679232752668434,
      1.1677964715262765,
      1.1676710852262302,
      1.1675471001763493,
      1.1674245001508678,
      1.1673032692726089,
      1.167183391837714,
      1.1670648523949512,
      1.1669476356727315,
      1.1668317266591457,
      1.1667171103768812,
      1.1666037721160754,
      1.1664916971081862,
      1.1663808707589711,
      1.1662712789327987,
      1.1661629073725046,
      1.1660557424931302,
      1.165949770344638,
      1.1658449774567157,
      1.1657413504123253,
      1.1656388760826126,
      1.1655375411499933,
      1.1654373326994794,
      1.1653382379962565,
      1.165240244365567,
      1.1651433391742867,
      1.1650475100667903,
      1.164952745048778,
      1.1648590321645742,
      1.164766359174444,
      1.1646747145031962,
      1.1645840863585457,
      1.1644944632734535,
      1.1644058337839929,
      1.1643181869721864,
      1.1642315116869875,
      1.164145796629645,
      1.1640610309474206,
      1.1639772040142464,
      1.1638943052625255,
      1.1638123242183154,
      1.163731250689393,
      1.1636510744451423,
      1.1635717851503908,
      1.1634933728081256,
      1.1634158275410964,
      1.1633391397807913,
      1.1632632998462302,
      1.1631882982857888,
      1.1631141255070132,
      1.1630407721694598,
      1.1629682290689145,
      1.1628964871238416,
      1.1628255374636207,
      1.162755371211793,
      1.1626859797273255,
      1.1626173542864178,
      1.1625494862730181,
      1.1624823669623783,
      1.1624159881695124,
      1.1623503415247216,
      1.1622854186136087,
      1.16222121132067,
      1.1621577119188748,
      1.162094912396786,
      1.1620328050569757,
      1.1619713820975182,
      1.1619106359564684,
      1.1618505590461037,
      1.161791143944992,
      1.161732383285124,
      1.1616742694354962,
      1.1616167953048522,
      1.1615599537201549,
      1.161503737873964,
      1.1614481406018318,
      1.1613931549820211,
      1.161338774172438,
      1.1612849913492826,
      1.161231800053033,
      1.1611791939242846,
      1.1611271662871636,
      1.1610757106479306,
      1.1610248207869183,
      1.160974490393034,
      1.1609247131558673,
      1.1608754830105854,
      1.1608267938234353,
      1.1607786396876965,
      1.1607310146604246,
      1.1606839124989796,
      1.160637327567269,
      1.1605912542167365,
      1.1605456867778086,
      1.1605006196020307,
      1.1604560470027248,
      1.1604119635006567,
      1.1603683638156879,
      1.1603252428078186,
      1.160282594909817,
      1.1602404147800705,
      1.1601986972944691,
      1.1601574375893222,
      1.1601166303927997,
      1.1600762706780694,
      1.1600363536557206,
      1.1599968742576403,
      1.1599578277906428,
      1.1599192093697037,
      1.1598810141648261,
      1.1598432376481125,
      1.1598058750270797,
      1.1597689216952587,
      1.1597323732251579,
      1.159696225208823,
      1.1596604731493048,
      1.1596251126065167,
      1.1595901392919887,
      1.1595555490623892,
      1.159521337607969,
      1.1594875009545353,
      1.1594540348978877,
      1.159420935302579,
      1.1593881979429064,
      1.159355818852501,
      1.1593237942164731,
      1.1592921201112552,
      1.1592607927020433,
      1.1592298082877324,
      1.1591991630408298,
      1.1591688530525235,
      1.159138874580949,
      1.1591092238928227,
      1.1590798974612295,
      1.159050891756572,
      1.159022203241243,
      1.1589938285167494,
      1.1589657641149895,
      1.1589380066962838,
      1.158910552840952,
      1.1588833992982723,
      1.1588565426762074,
      1.1588299798431774,
      1.1588037075162503,
      1.1587777223068494,
      1.1587520211734812,
      1.1587266010608563,
      1.15870145864084,
      1.1586765909686452,
      1.158651994867734,
      1.1586276672811429,
      1.1586036055209474,
      1.1585798067046265,
      1.1585562676997079,
      1.1585329857802191,
      1.1585099582155118,
      1.1584871821133844,
      1.158464654720826,
      1.1584423734198284,
      1.1584203354180667,
      1.158398538049782,
      1.1583769786698077,
      1.1583556547513296,
      1.1583345636784237,
      1.1583137027928967,
      1.1582930695428248,
      1.1582726612240712,
      1.1582524756376222,
      1.1582325105772442,
      1.1582127635209776,
      1.1581932319833212,
      1.158173913714711,
      1.158154806240327,
      1.1581359071614945,
      1.1581172143043772,
      1.1580987254624067,
      1.1580804383419407,
      1.1580623506095236,
      1.158044460142618,
      1.1580267647720306,
      1.158009262431102,
      1.1579919511014747,
      1.1579748287084333,
      1.1579578932193186,
      1.157941142487761,
      1.157924574402956,
      1.157908186988032,
      1.1578919780918415,
      1.1578759458942312,
      1.1578600885471815,
      1.1578444041210711,
      1.15782889070334,
      1.1578135463955255,
      1.1577983695138248,
      1.1577833582812422,
      1.1577685106721691,
      1.1577538248670303,
      1.1577392991477917,
      1.157724931742579,
      1.1577107209246693,
      1.1576966651116003,
      1.1576827625574062,
      1.1576690114517152,
      1.157655410069421,
      1.1576419570224608,
      1.157628650443554,
      1.157615489051771,
      1.157602470980347,
      1.1575895947912018,
      1.157576859116681,
      1.1575642622503597,
      1.157551802602309,
      1.1575394786965503,
      1.157527288914359,
      1.1575152318986812,
      1.1575033064504392,
      1.1574915111195445,
      1.157479844253492,
      1.1574683044526617,
      1.1574568903646651,
      1.1574456004278162,
      1.1574344334791093,
      1.157423388345574,
      1.1574124636896919,
      1.1574016582617161,
      1.1573909706433625,
      1.1573803994490304,
      1.1573699434254443,
      1.157359601246127
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183484008040443,
      10.995168634876176,
      10.796784676562575,
      10.589795666106673,
      10.375641342737836,
      10.155781695953182,
      9.931812524832758,
      9.705276673477101,
      9.477575969397106,
      9.25005514430024,
      9.023969956169871,
      8.800438890064255,
      8.580407708701179,
      8.364631304737793,
      8.153661524534126,
      7.947846034481644,
      7.747338083932833,
      7.5521148043131605,
      7.362001340609645,
      7.176698204144944,
      6.995809636442911,
      6.818871312116903,
      6.645374313077988,
      6.474785392457307,
      6.306570746990484,
      6.140215206563174,
      5.975238314952474,
      5.811206677466919,
      5.647738636202799,
      5.484507420186314,
      5.321248164495519,
      5.15778392738219,
      4.99403544861901,
      4.830020291581507,
      4.665853070687514,
      4.501730918840552,
      4.337902921541575,
      4.174692383834369,
      4.01250878112219,
      3.851839454778208,
      3.693227555625734,
      3.537240710671687,
      3.384453482243004,
      3.235429285695562,
      3.0907055381749586,
      2.9507810350251282,
      2.8161035897986966,
      2.6870609798196305,
      2.5639753739428346,
      2.447100596892284,
      2.3366220618288174,
      2.232659322579452,
      2.1352705332680566,
      2.0444580722722896,
      1.9601744339372638,
      1.8823259435843618,
      1.8107771108212167,
      1.7453713694799684,
      1.6859400021922084,
      1.6322988959251419,
      1.584254555420756,
      1.541593346016247,
      1.5040575815098642,
      1.471312174636827,
      1.442921948886182,
      1.4183904352901155,
      1.3971698918939797,
      1.3787213542241883,
      1.3626298273699191,
      1.3485832948023102,
      1.3363154374152675,
      1.3255777928350039,
      1.3161499905551035,
      1.3078431286227867,
      1.3004964390281226,
      1.2939730131292593,
      1.2881579057666643,
      1.2829551555252783,
      1.2782822944359606,
      1.2740684680752563,
      1.2702528157622108,
      1.266782812417432,
      1.2636131230121896,
      1.260704619305051,
      1.2580235301502725,
      1.2555407073974305,
      1.2532309910275548,
      1.2510726617767436,
      1.2490469678140663,
      1.247137716321004,
      1.245330921292099,
      1.2436144999646301,
      1.2419780101037314,
      1.2404124241550711,
      1.2389099339596938,
      1.2374637832061206,
      1.2360681219660163,
      1.2347178817977187,
      1.2334086681892777,
      1.2321366676364087,
      1.2308985677837314,
      1.229691488153415,
      1.228512921030841,
      1.2273606803571655,
      1.2262328571990442,
      1.2251277818477813,
      1.2240439907753589,
      1.2229801933231292,
      1.2219352494786253,
      1.2209081542898665,
      1.219898019234447,
      1.2189040564227929,
      1.217925565107944,
      1.2169619198760206,
      1.21601256055379,
      1.2150769833128265,
      1.2141547332138563,
      1.2132453980295683,
      1.2123486025250223,
      1.2114640035443678,
      1.21059128615229,
      1.209730159655916,
      1.2088803546719333,
      1.2080416204720794,
      1.2072137228588786,
      1.2063964419070365,
      1.205589570839806,
      1.2047929139024363,
      1.2040062852137507,
      1.203229507780968,
      1.2024624125236139,
      1.2017048375596597,
      1.2009566271939747,
      1.2002176316755166,
      1.1994877062988716,
      1.1987667112228693,
      1.19805451068286,
      1.197350972969617,
      1.196655970106518,
      1.1959693774281077,
      1.1952910732628665,
      1.1946209391782467,
      1.1939588594138333,
      1.1933047205203182,
      1.1926584117121257,
      1.1920198243062545,
      1.1913888519255318,
      1.1907653901948256,
      1.190149336845619,
      1.1895405915165744,
      1.1889390556573556,
      1.188344632128092,
      1.1877572259188722,
      1.1871767436498537,
      1.186603093428558,
      1.186036184962355,
      1.1854759293159065,
      1.1849222391781677,
      1.1843750284180812,
      1.1838342124550463,
      1.1832997080198884,
      1.1827714333237231,
      1.1822493074647464,
      1.1817332509037834,
      1.18122318543175,
      1.1807190342401201,
      1.1802207213819804,
      1.1797281722506774,
      1.179241313398451,
      1.178760072457492,
      1.1782843780108505,
      1.1778141593621954,
      1.1773493474759544,
      1.1768898740874918,
      1.1764356718822095,
      1.1759866747770507,
      1.1755428173380795,
      1.175104035114186,
      1.1746702647170393,
      1.174241443800391,
      1.173817510684026,
      1.1733984046394603,
      1.1729840658203012,
      1.172574435142526,
      1.172169454368607,
      1.1717690662943423,
      1.171373214376827,
      1.1709818427699001,
      1.1705948965638246,
      1.1702123214659192,
      1.169834064092318,
      1.1694600719043902,
      1.1690902928914955,
      1.168724675814034,
      1.168363169988843,
      1.1680057254823477,
      1.1676522933551081,
      1.1673028250936415,
      1.1669572728561934,
      1.1666155894140908,
      1.1662777280935215,
      1.165943643023095,
      1.165613289076914,
      1.165286621513321,
      1.1649635960207114,
      1.1646441690689429,
      1.1643282981090153,
      1.164015940756366,
      1.163707055347783,
      1.163401600634184,
      1.163099535829934,
      1.1628008207133032,
      1.162505415676733,
      1.1622132816759434,
      1.1619243801795884,
      1.161638673221391,
      1.1613561232491494,
      1.1610766930759504,
      1.1608003462896344,
      1.1605270466455488,
      1.160256758578824,
      1.1599894469541143,
      1.1597250769684173,
      1.1594636143086436,
      1.1592050250553825,
      1.1589492756886541,
      1.158696333399454,
      1.1584461658934022,
      1.1581987406863359,
      1.1579540259255539,
      1.1577119904485904,
      1.157472603334416,
      1.1572358339635516,
      1.157001652129089,
      1.1567700283519406,
      1.156540933179449,
      1.1563143372470464,
      1.1560902118485215,
      1.155868528795103,
      1.1556492603258453,
      1.1554323788660814,
      1.1552178571422316,
      1.1550056680423175,
      1.1547957848835908,
      1.1545881814774552,
      1.154382831889604,
      1.1541797105566052,
      1.1539787921485885,
      1.153780051788079,
      1.153583464710143,
      1.153389006736432,
      1.1531966535797804,
      1.1530063813697347,
      1.1528181666188657,
      1.1526319862914038,
      1.152447817363662,
      1.1522656373002507,
      1.1520854234623619,
      1.1519071538896135,
      1.151730806709259,
      1.1515563605119303,
      1.151383793964849,
      1.1512130861885415,
      1.1510442161671932,
      1.150877163227226,
      1.150711907058387,
      1.1505484276846,
      1.1503867051297196,
      1.1502267199994973,
      1.1500684528937324,
      1.1499118845307708,
      1.149756996126602,
      1.1496037689605234,
      1.149452184653188,
      1.1493022249363685,
      1.1491538715244787,
      1.1490071066983836,
      1.1488619129742308,
      1.1487182731286893,
      1.1485761699193537,
      1.1484355863647768,
      1.1482965055668175,
      1.1481589108890953,
      1.1480227859834582,
      1.1478881146641615,
      1.1477548810364626,
      1.147623069320605,
      1.1474926637264835,
      1.147363648837488,
      1.1472360092313663,
      1.1471097297115338,
      1.146984795538935,
      1.1468611919521663,
      1.146738904603368,
      1.1466179190281016,
      1.1464982208271393,
      1.146379795950199,
      1.1462626305731414,
      1.1461467106193233,
      1.1460320225016078,
      1.1459185529492586,
      1.1458062887335518,
      1.1456952167497876,
      1.145585323895616,
      1.1454765972548289,
      1.1453690241286585,
      1.1452625920166117,
      1.1451572885466759,
      1.1450531013039107,
      1.1449500182695171,
      1.144848027700801,
      1.144747117706453,
      1.1446472764826607,
      1.1445484923970493,
      1.1444507537164799,
      1.144354049199611,
      1.144258367876303,
      1.144163698471316,
      1.1440700300482627,
      1.1439773518912377,
      1.1438856532848252,
      1.1437949238030332,
      1.143705152784431,
      1.143616329926333,
      1.143528445065485,
      1.1434414881114947,
      1.1433554490314413,
      1.1432703177833554,
      1.14318608460611,
      1.1431027401061147,
      1.1430202746321203,
      1.142938678667622,
      1.142857942815954,
      1.14277805798921,
      1.1426990149364635,
      1.1426208045854,
      1.1425434179774059,
      1.1424668462537069,
      1.1423910806925022,
      1.1423161126953725,
      1.1422419337739003,
      1.1421685354347006,
      1.1420959093697287,
      1.1420240470872052,
      1.141952940559783,
      1.1418825818558391,
      1.1418129631271186,
      1.1417440764439266,
      1.1416759137826449,
      1.1416084672167797,
      1.141541729158762,
      1.141475692042876,
      1.1414103485169735,
      1.141345691227391,
      1.1412817128074866,
      1.1412184060694797,
      1.141155763891504,
      1.1410937791046403,
      1.1410324447868798,
      1.140971753946976,
      1.1409116995135005,
      1.1408522747306182,
      1.1407934730457607,
      1.14073528794656,
      1.140677712950751,
      1.1406207414432432,
      1.1405643670726189,
      1.1405085833850048,
      1.1404533842210038,
      1.1403987631969559,
      1.1403447143055845,
      1.1402912314484284,
      1.1402383085789867,
      1.1401859395912413,
      1.140134118666127,
      1.1400828400588294,
      1.1400320979370129,
      1.1399818867277505,
      1.139932200752512,
      1.139883034777755,
      1.1398343830909188,
      1.1397862403053058,
      1.1397386010971575,
      1.1396914600955232,
      1.1396448117716567,
      1.1395986508375044,
      1.1395529723389193,
      1.1395077712407686,
      1.1394630425714767,
      1.1394187812117176,
      1.1393749821406163,
      1.1393316405802347,
      1.1392887516827852,
      1.1392463104210486,
      1.1392043123435476,
      1.1391627529568393,
      1.1391216275150198,
      1.1390809313172383,
      1.1390406598528413,
      1.139000808641347,
      1.13896137337815,
      1.1389223497240757,
      1.1388837332473551,
      1.1388455196203087,
      1.1388077046630223,
      1.1387702842350869,
      1.138733254025337,
      1.1386966099519304,
      1.1386603481558355,
      1.1386244644858743,
      1.1385889548990733,
      1.1385538156067299,
      1.1385190424070415,
      1.1384846315430988,
      1.138450579493338,
      1.1384168824572158,
      1.1383835367052397,
      1.1383505383693584,
      1.1383178839455674,
      1.1382855696268313,
      1.1382535920092334,
      1.1382219475267965,
      1.1381906326492786,
      1.138159643927417,
      1.1381289778855195,
      1.1380986310667291,
      1.1380686000783604,
      1.1380388817898344,
      1.1380094729716732,
      1.1379803702901583,
      1.1379515704036305,
      1.1379230701607304,
      1.137894866544385,
      1.1378669564124517,
      1.1378393367471624,
      1.1378120044975304,
      1.1377849566761922,
      1.1377581902527423,
      1.1377317023015108,
      1.1377054899968526,
      1.137679550405032,
      1.1376538806321597,
      1.1376284778193897,
      1.1376033392401355,
      1.1375784621429645,
      1.1375538435944579,
      1.1375294809325662,
      1.137505371405779,
      1.1374815126268814,
      1.1374579019074105,
      1.137434536864116,
      1.1374114148043801,
      1.1373885330271074,
      1.1373658887675269,
      1.137343479650548,
      1.1373213032798832,
      1.1372993573866865,
      1.1372776396225364,
      1.1372561475555416,
      1.1372348788189939,
      1.1372138310567177,
      1.1371930019190757,
      1.1371723891102024,
      1.1371519903842249,
      1.1371318036432,
      1.1371118265777604,
      1.1370920569684995,
      1.1370724926823772,
      1.137053131567625,
      1.137033971297422,
      1.1370150099258454,
      1.136996245630187,
      1.1369776760976416,
      1.1369592991828086,
      1.1369411132094722,
      1.1369231162047801,
      1.1369053060486702,
      1.1368876807246797,
      1.1368702384184561,
      1.136852977107834,
      1.1368358950173594,
      1.1368189903100987,
      1.136802261033987,
      1.1367857052201125,
      1.136769321133993
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183486572015935,
      10.995184550736067,
      10.796837608230637,
      10.589913856982172,
      10.375855131317884,
      10.156126906272135,
      9.932331298047567,
      9.706002931855846,
      9.478540914224268,
      9.25128801950101,
      9.025497749103533,
      8.80228580514221,
      8.582595301566695,
      8.367178889124034,
      8.15658651497052,
      7.951164419992165,
      7.751064963633369,
      7.556264930177851,
      7.366589615417641,
      7.181740097838197,
      7.00132149312047,
      6.824870531461222,
      6.651880185514412,
      6.48181880182797,
      6.31415344054117,
      6.148369410590074,
      5.983986213209999,
      5.8205703970510205,
      5.657740089954963,
      5.495168934504416,
      5.3325900415957825,
      5.169821880317473,
      5.006779631633678,
      4.843474372554363,
      4.680013350750737,
      4.516589815896256,
      4.353448803742392,
      4.1909044447745165,
      4.029354861153748,
      3.8692764214029696,
      3.711204599751001,
      3.5557030207424556,
      3.4033426297441896,
      3.2546851007682176,
      3.110266428785351,
      2.9705856798986825,
      2.836092525030329,
      2.707177949649719,
      2.5841683873028707,
      2.4673227568868534,
      2.3568321915955917,
      2.252822157781738,
      2.155356754102259,
      2.0644441442116253,
      1.9800417220159907,
      1.9020588013220459,
      1.830363658814105,
      1.764805065853279,
      1.7052178165980656,
      1.6514204863797055,
      1.603221885213178,
      1.560403407373915,
      1.5227043329968737,
      1.4897854214990973,
      1.4612056506153759,
      1.4364647405401423,
      1.4150120086066005,
      1.3963095478405505,
      1.3799456278502273,
      1.365610828437157,
      1.3530408870478146,
      1.3419886688151175,
      1.3322356756340228,
      1.3235949249390175,
      1.3159072688695954,
      1.3090371349441725,
      1.3028699561986867,
      1.2973106872063418,
      1.292278071373637,
      1.2877020975985782,
      1.2835226939257012,
      1.2796881818158148,
      1.2761539603995116,
      1.2728815375668767,
      1.26983769141102,
      1.2669937465221983,
      1.2643249484966061,
      1.2618099243130543,
      1.2594302163708277,
      1.257169880575224,
      1.2550151395272322,
      1.2529540835152941,
      1.2509764127868335,
      1.2490732151546613,
      1.2472367744871657,
      1.2454604057506207,
      1.243738312339875,
      1.242065463534907,
      1.240437488867126,
      1.238850587260931,
      1.2373014484720257,
      1.2357871856262717,
      1.234305277163497,
      1.2328535164997672,
      1.2314299686437151,
      1.230032933366083,
      1.228660913051703,
      1.2273125850984608,
      1.2259867782228375,
      1.2246824521374073,
      1.2233986797137755,
      1.2221346318143589,
      1.220889564064128,
      1.2196628058525079,
      1.2184537506379405,
      1.2172618472383552,
      1.2160865928103015,
      1.2149275265419182,
      1.2137842245105643,
      1.2126562938169445,
      1.211543364309804,
      1.210445089235372,
      1.2093611451468387,
      1.2082912286335041,
      1.207235054494621,
      1.206192352964735,
      1.2051628685821043,
      1.204146358307731,
      1.2031425902664783,
      1.2021513424980725,
      1.2011724020223216,
      1.2002055638608926,
      1.1992506306252841,
      1.198307411653166,
      1.1973757222008423,
      1.196455382995915,
      1.1955462200988851,
      1.1946480645142825,
      1.1937607515508437,
      1.1928841204384715,
      1.1920180146596502,
      1.19116228111354,
      1.1903167704010045,
      1.189481336145356,
      1.1886558350265146,
      1.1878401268676313,
      1.1870340742656489,
      1.1862375423246976,
      1.1854503987977603,
      1.184672514076768,
      1.1839037609806964,
      1.1831440144939196,
      1.1823931520140745,
      1.1816510529397741,
      1.1809175989205944,
      1.1801926734466741,
      1.179476162049585,
      1.1787679522497454,
      1.1780679336573026,
      1.1773759975657674,
      1.176692036902206,
      1.1760159464833475,
      1.1753476228146615,
      1.1746869640433393,
      1.1740338700642623,
      1.173388242321882,
      1.17274998376559,
      1.172118998805529,
      1.1714951937273446,
      1.170878476039599,
      1.1702687543815387,
      1.1696659389905788,
      1.1690699417131418,
      1.1684806756605015,
      1.1678980551703917,
      1.1673219959220684,
      1.1667524145942618,
      1.166189229439202,
      1.1656323601456857,
      1.1650817273978702,
      1.1645372529434819,
      1.163998859764316,
      1.1634664719421235,
      1.162940014881575,
      1.1624194145674898,
      1.1619045985009506,
      1.1613954952124639,
      1.160892034131663,
      1.1603941460174128,
      1.1599017623714507,
      1.1594148157681603,
      1.158933239676512,
      1.1584569684350656,
      1.157985937583945,
      1.1575200832818504,
      1.1570593427410252,
      1.1566036541543483,
      1.1561529565723432,
      1.1557071897301145,
      1.155266294179849,
      1.1548302113730484,
      1.1543988836417602,
      1.1539722541807398,
      1.1535502668267672,
      1.1531328663980265,
      1.1527199982712026,
      1.1523116085697516,
      1.1519076440981038,
      1.1515080524291166,
      1.1511127820432319,
      1.1507217820614397,
      1.1503350020805378,
      1.1499523926700763,
      1.1495739048020162,
      1.1491994902979978,
      1.1488291016161556,
      1.1484626916386935,
      1.1481002139172167,
      1.1477416228173387,
      1.1473868732061772,
      1.1470359204962126,
      1.146688720689913,
      1.1463452305773587,
      1.1460054073752681,
      1.1456692087732083,
      1.1453365930820893,
      1.1450075192815012,
      1.1446819467625362,
      1.1443598352236226,
      1.1440411452786647,
      1.1437258377438404,
      1.1434138740942308,
      1.1431052163109916,
      1.1427998267290311,
      1.1424976682915948,
      1.1421987046025834,
      1.1419028992671416,
      1.141610216554677,
      1.1413206210962838,
      1.1410340782947204,
      1.1407505536667097,
      1.1404700132538634,
      1.1401924234747223,
      1.1399177513837975,
      1.1396459643210726,
      1.1393770300707045,
      1.139110916765608,
      1.1388475928433464,
      1.13858702710415,
      1.1383291888709208,
      1.138074047997461,
      1.137821574368385,
      1.1375717384166768,
      1.137324510980343,
      1.137079863312329,
      1.1368377669382919,
      1.1365981936163674,
      1.136361115348006,
      1.1361265047452382,
      1.1358943345338832,
      1.1356645780233372,
      1.1354372087123468,
      1.1352122003020133,
      1.1349895271668744,
      1.1347691636566442,
      1.1345510843136648,
      1.1343352645484774,
      1.1341216796884745,
      1.1339103052983477,
      1.1337011174498675,
      1.1334940922801107,
      1.1332892060584692,
      1.1330864357115977,
      1.1328857585353505,
      1.1326871514493615,
      1.1324905920823294,
      1.1322960584338204,
      1.1321035286893544,
      1.1319129812391233,
      1.1317243949514093,
      1.131537748785047,
      1.131353021605791,
      1.1311701926636033,
      1.130989241714413,
      1.1308101484811737,
      1.1306328929798497,
      1.130457455692912,
      1.1302838170823748,
      1.1301119580183856,
      1.1299418592417518,
      1.129773502098093,
      1.1296068679500708,
      1.1294419384547096,
      1.1292786954846707,
      1.1291171212027564,
      1.1289571976277535,
      1.1287989074212428,
      1.1286422330472092,
      1.1284871574577353,
      1.1283336637617036,
      1.1281817351483094,
      1.1280313551156138,
      1.1278825071401286,
      1.1277351751602909,
      1.1275893431956898,
      1.1274449953734949,
      1.1273021160057617,
      1.1271606897178712,
      1.127020701170575,
      1.126882135341651,
      1.1267449771973366,
      1.1266092117708952,
      1.126474824495492,
      1.1263418009782482,
      1.1262101268761022,
      1.1260797879753868,
      1.1259507704238365,
      1.1258230603022044,
      1.1256966439588525,
      1.1255715078355168,
      1.1254476385990657,
      1.1253250228151228,
      1.1252036476903684,
      1.125083500289238,
      1.1249645678190456,
      1.1248468373554694,
      1.124730296585302,
      1.1246149330748323,
      1.12450073465735,
      1.1243876892104452,
      1.1242757845859648,
      1.1241650090996451,
      1.1240553509529239,
      1.123946798621368,
      1.1238393408872598,
      1.1237329661604505,
      1.1236276632740303,
      1.1235234210085363,
      1.1234202283795875,
      1.1233180746711224,
      1.1232169492657802,
      1.1231168412719144,
      1.1230177403202057,
      1.12291963608911,
      1.1228225182884488,
      1.1227263766939348,
      1.1226312013849904,
      1.1225369823729217,
      1.1224437096356832,
      1.122351373508809,
      1.122259964313731,
      1.1221694729019014,
      1.1220798897244646,
      1.1219912054780887,
      1.1219034109373864,
      1.121816496838374,
      1.1217304540669717,
      1.1216452737461293,
      1.1215609470177992,
      1.12147746513054,
      1.1213948194761816,
      1.1213130014232315,
      1.121232002608217,
      1.1211518145660004,
      1.1210724289194447,
      1.1209938375186155,
      1.1209160320711586,
      1.1208390049431267,
      1.1207627483323108,
      1.120687254204832,
      1.120612514739913,
      1.1205385222662998,
      1.120465268995271,
      1.1203927475675828,
      1.1203209506344824,
      1.1202498708966206,
      1.1201795009394324,
      1.1201098333228603,
      1.1200408610269592,
      1.1199725770841713,
      1.1199049745172542,
      1.1198380464295652,
      1.1197717859937169,
      1.1197061861858828,
      1.1196412402832094,
      1.119576941954316,
      1.1195132844859272,
      1.1194502614331832,
      1.1193878664563361,
      1.1193260930560298,
      1.1192649348677468,
      1.1192043856513758,
      1.1191444395861856,
      1.119085090498111,
      1.119026332002183,
      1.1189681583059563,
      1.1189105634367658,
      1.1188535416897532,
      1.1187970873132667,
      1.1187411944993422,
      1.1186858574757164,
      1.1186310709033964,
      1.118576829104594,
      1.1185231266130664,
      1.118469957910574,
      1.1184173176720782,
      1.1183652005535238,
      1.1183136011319854,
      1.1182625142527627,
      1.1182119347156207,
      1.1181618573678902,
      1.1181122773503032,
      1.1180631895292108,
      1.118014588895021,
      1.117966470706652,
      1.1179188301273346,
      1.1178716623691993,
      1.1178249628379695,
      1.1177787267692247,
      1.1177329492711952,
      1.1176876256728125,
      1.117642751770206,
      1.1175983229040465,
      1.1175543345113006,
      1.1175107821176136,
      1.1174676615842252,
      1.1174249685922193,
      1.1173826986863717,
      1.11734084757267,
      1.1172994111621442,
      1.1172583852587865,
      1.1172177657558904,
      1.1171775488328342,
      1.1171377301855205,
      1.1170983059348178,
      1.1170592723148434,
      1.1170206254122494,
      1.116982361261494,
      1.1169444759906764,
      1.1169069657642412,
      1.1168698267764272,
      1.1168330553976447,
      1.1167966478630171,
      1.1167606006221917,
      1.116724910129874,
      1.1166895726363026,
      1.116654584740666,
      1.1166199428765775,
      1.116585643560436,
      1.1165516834364684,
      1.1165180592709723,
      1.1164847674381557,
      1.1164518047789396,
      1.1164191680868611,
      1.1163868537973805,
      1.1163548587959105,
      1.1163231802090379,
      1.1162918145855578,
      1.1162607589593325,
      1.1162300100298914,
      1.1161995649202232,
      1.1161694205104697,
      1.1161395738396873,
      1.1161100219989895,
      1.1160807620249027,
      1.1160517911489116,
      1.1160231065380912,
      1.1159947051888575,
      1.115966584074244,
      1.115938740495034,
      1.1159111717699401,
      1.1158838752310416,
      1.1158568482701334,
      1.1158300881308423,
      1.1158035920565381,
      1.1157773573364662,
      1.1157513814538658,
      1.1157256619290696,
      1.1157001962643844,
      1.115674981939873,
      1.1156500164090912,
      1.1156252972982115,
      1.115600822198594,
      1.1155765884590403,
      1.115552593639257
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183490927787306,
      10.995209242004993,
      10.796911623539735,
      10.590069917146149,
      10.376127801880157,
      10.156556466299046,
      9.932963918578828,
      9.706877320002322,
      9.479692572573281,
      9.252749839645626,
      9.027299994755731,
      8.804455548017078,
      8.585156654472414,
      8.370153411641832,
      8.15999363301393,
      7.955021982658919,
      7.755389866598751,
      7.5610737360714415,
      7.371899118574029,
      7.187567790288961,
      7.007685904214846,
      6.8317914219250016,
      6.659379126315454,
      6.48991963830588,
      6.322880989365327,
      6.157749015984992,
      5.9940431455936185,
      5.831329852274414,
      5.669227026931738,
      5.507408716662116,
      5.345606074381009,
      5.1836322592092685,
      5.021396071875586,
      4.858901185831005,
      4.696246439967876,
      4.533620018164066,
      4.371262831588748,
      4.209478514682694,
      4.0486524389329634,
      3.889248594336808,
      3.731791987229086,
      3.576841471238024,
      3.4249638737387116,
      3.276718648134971,
      3.132640592049675,
      2.9932290083720474,
      2.858935648325671,
      2.7301551317494357,
      2.6072187959867557,
      2.4903914313304094,
      2.3798706431556718,
      2.275788711657555,
      2.1782166095803133,
      2.0871692092526266,
      2.0026093275606716,
      1.9244498039495483,
      1.8525645426554642,
      1.7868082042277071,
      1.7270195147990128,
      1.673020169826014,
      1.6246203162724022,
      1.5815966022589114,
      1.5436861774514303,
      1.51054595587725,
      1.481730337915983,
      1.4567356444495057,
      1.4350085565474784,
      1.4160121117693807,
      1.3993373748682219,
      1.384676594900136,
      1.3717674061497551,
      1.360364637244777,
      1.3502519793390655,
      1.3412443100193467,
      1.3331840424164454,
      1.3259370464503748,
      1.3193892015593416,
      1.3134457312403314,
      1.308026590055438,
      1.3030627615628887,
      1.298494825985722,
      1.2942718297901967,
      1.290349891681041,
      1.286691137549236,
      1.2832628746658423,
      1.2800368786728007,
      1.2769887780359914,
      1.2740975225655722,
      1.2713449248229363,
      1.268715265310911,
      1.2661949513791717,
      1.2637722230390307,
      1.2614369000121788,
      1.2591801629271238,
      1.2569943655589149,
      1.2548728727840341,
      1.2528099208186128,
      1.250800496778758,
      1.2488402351737726,
      1.2469253289545832,
      1.245052452444807,
      1.2432186954245021,
      1.2414215060165117,
      1.2396586413050799,
      1.23792812543608,
      1.2362282133275215,
      1.2345573591408852,
      1.2329141893802527,
      1.2312974797786393,
      1.2297061353375627,
      1.228139172889205,
      1.2265957063158628,
      1.2250749337496192,
      1.2235761265362097,
      1.2220986197980446,
      1.2206418044852458,
      1.2192051199393878,
      1.217788047979878,
      1.2163901077431103,
      1.2150108511673592,
      1.2136498586101196,
      1.212306736220573,
      1.2109811123684693,
      1.2096726355166931,
      1.2083809717544083,
      1.2071058031077952,
      1.2058468258630295,
      1.2046037491544979,
      1.2033762935113723,
      1.2021641900733562,
      1.2009671785927092,
      1.199785002032178,
      1.1986174100119587,
      1.1974641609365044,
      1.196325020972782,
      1.1951997638474872,
      1.194088169987305,
      1.1929900260700192,
      1.1919051246296684,
      1.1908332635627767,
      1.1897742458916298,
      1.1887278793261908,
      1.1876939761331957,
      1.1866723529561956,
      1.185662830332197,
      1.1846652326165243,
      1.1836793882141932,
      1.1827051287954742,
      1.1817422893263705,
      1.180790708201758,
      1.1798502268709827,
      1.1789206899221925,
      1.1780019447609236,
      1.177093841543545,
      1.1761962331117184,
      1.1753089752326435,
      1.174431926077442,
      1.1735649463106488,
      1.1727078991805198,
      1.171860649999708,
      1.1710230666947057,
      1.170195019644205,
      1.1693763811625073,
      1.1685670255427376,
      1.1677668293550965,
      1.16697567133919,
      1.1661934320935574,
      1.1654199943256027,
      1.1646552424919927,
      1.1638990628464148,
      1.163151343640758,
      1.1624119749202573,
      1.1616808484212018,
      1.1609578577744708,
      1.160242898099694,
      1.1595358663628728,
      1.1588366610739058,
      1.1581451824425324,
      1.1574613319246174,
      1.1567850128881685,
      1.1561161299070712,
      1.155454589072569,
      1.1548002978476044,
      1.1541531652783419,
      1.1535131019010632,
      1.1528800194975943,
      1.1522538311057886,
      1.1516344508777554,
      1.1510217945492969,
      1.150415779096374,
      1.1498163225959765,
      1.1492233444945195,
      1.148636765317533,
      1.1480565064817738,
      1.1474824910232564,
      1.1469146429532369,
      1.1463528875305593,
      1.1457971509751472,
      1.1452473605891198,
      1.1447034446244082,
      1.1441653323542271,
      1.1436329541454076,
      1.1431062413279334,
      1.1425851264214246,
      1.1420695425995342,
      1.141559424070221,
      1.1410547059482639,
      1.1405553241792095,
      1.1400612158199344,
      1.1395723186080169,
      1.1390885713458814,
      1.1386099135730139,
      1.1381362856971426,
      1.1376676290240144,
      1.1372038854829483,
      1.1367449979122177,
      1.1362909099891625,
      1.1358415659577101,
      1.1353969107630797,
      1.1349568901869802,
      1.1345214511364214,
      1.1340905407125603,
      1.133664107060158,
      1.1332420986410197,
      1.1328244648300547,
      1.1324111558002827,
      1.1320021222558745,
      1.1315973155217727,
      1.131196687837308,
      1.1308001917860298,
      1.1304077804888177,
      1.1300194076955783,
      1.1296350281319714,
      1.1292545968298442,
      1.1288780694752334,
      1.1285054022483452,
      1.1281365519692415,
      1.127771476040499,
      1.1274101323397696,
      1.1270524791637289,
      1.1266984753247384,
      1.1263480804516204,
      1.1260012547827085,
      1.1256579587562128,
      1.1253181532108714,
      1.124981799485197,
      1.1246488596193145,
      1.1243192964555953,
      1.1239930727228171,
      1.1236701516464795,
      1.123350497203083,
      1.123034073663333,
      1.122720845847862,
      1.1224107790275377,
      1.1221038387730828,
      1.1217999909071141,
      1.121499202015692,
      1.1212014389943628,
      1.1209066689506089,
      1.120614859208154,
      1.120325978074688,
      1.1200399942372736,
      1.1197568766667043,
      1.1194765943191471,
      1.1191991167020392,
      1.1189244137794145,
      1.1186524557760325,
      1.1183832134398353,
      1.118116657948712,
      1.1178527605635316,
      1.117591492942643,
      1.1173328270497191,
      1.1170767352144897,
      1.1168231900923176,
      1.1165721647768547,
      1.116323632658831,
      1.1160775673868222,
      1.115833942930222,
      1.1155927334390803,
      1.1153539134092436,
      1.115117457593651,
      1.1148833412699788,
      1.114651540051333,
      1.1144220295954748,
      1.1141947859753945,
      1.1139697854400596,
      1.1137470043277906,
      1.1135264194885586,
      1.1133080080456148,
      1.1130917475644377,
      1.1128776155609403,
      1.112665589925369,
      1.1124556487361406,
      1.1122477703281088,
      1.1120419333614162,
      1.1118381166872382,
      1.1116362994680316,
      1.1114364609929601,
      1.1112385806970895,
      1.111042638333314,
      1.1108486141445049,
      1.1106564883245713,
      1.1104662413439295,
      1.1102778538684204,
      1.1100913067801679,
      1.1099065814024858,
      1.1097236590637665,
      1.1095425213228403,
      1.1093631499402679,
      1.1091855265446462,
      1.1090096333669706,
      1.108835452856661,
      1.1086629674505704,
      1.1084921600542543,
      1.1083230136080982,
      1.1081555112639625,
      1.107989636460277,
      1.107825372438235,
      1.1076627028766053,
      1.1075016118149363,
      1.1073420831197003,
      1.1071841008654697,
      1.1070276495133191,
      1.1068727135298715,
      1.1067192776169146,
      1.106567326534374,
      1.106416845483088,
      1.1062678197757254,
      1.106120234762613,
      1.1059740759607433,
      1.1058293290814545,
      1.1056859797531713,
      1.10554401400701,
      1.1054034180506067,
      1.105264178195266,
      1.1051262808845825,
      1.1049897126217483,
      1.1048544602019668,
      1.1047205104877984,
      1.1045878504895261,
      1.1044564674965922,
      1.1043263485482802,
      1.1041974807688624,
      1.1040698518551386,
      1.1039434497004075,
      1.1038182621204131,
      1.103694276782416,
      1.1035714816430344,
      1.1034498652336786,
      1.1033294160313276,
      1.1032101221344388,
      1.1030919721591963,
      1.1029749547118335,
      1.1028590585226308,
      1.102744272529267,
      1.102630585960244,
      1.1025179878591709,
      1.1024064675755236,
      1.1022960142381995,
      1.1021866176535315,
      1.1020782672198133,
      1.1019709527238666,
      1.1018646640188128,
      1.1017593907528802,
      1.1016551231661698,
      1.1015518513622118,
      1.1014495653932914,
      1.1013482555999783,
      1.1012479121880236,
      1.1011485259751883,
      1.10105008766353,
      1.1009525877731974,
      1.100856017287939,
      1.1007603670802444,
      1.1006656282015113,
      1.1005717916125517,
      1.100478848575562,
      1.1003867903339883,
      1.1002956081997433,
      1.100205293487759,
      1.1001158378573794,
      1.1000272328913934,
      1.099939470590651,
      1.099852542648281,
      1.0997664407918208,
      1.0996811569728382,
      1.0995966832514819,
      1.0995130118339613,
      1.0994301348558528,
      1.0993480447758557,
      1.0992667338542421,
      1.0991861945976902,
      1.0991064195430478,
      1.0990274010410517,
      1.098949131752254,
      1.0988716045327258,
      1.0987948122183566,
      1.098718747663658,
      1.0986434039840156,
      1.0985687739841985,
      1.0984948508076235,
      1.0984216274666898,
      1.0983490974413526,
      1.0982772540065828,
      1.0982060905772169,
      1.0981356005438945,
      1.0980657773636282,
      1.097996614599312,
      1.0979281058071104,
      1.0978602448815937,
      1.0977930254854043,
      1.0977264415982317,
      1.097660486997746,
      1.0975951554524017,
      1.0975304409650715,
      1.0974663375591505,
      1.0974028394210613,
      1.0973399408901714,
      1.09727763624548,
      1.0972159197977802,
      1.0971547857779047,
      1.0970942286830139,
      1.0970342429109274,
      1.0969748229539333,
      1.0969159633384669,
      1.0968576587682717,
      1.0967999040135106,
      1.096742693799989,
      1.0966860226982518,
      1.0966298856230148,
      1.0965742775190055,
      1.0965191931488132,
      1.0964646273890617,
      1.0964105754248497,
      1.0963570325381322,
      1.0963039939468813,
      1.0962514546440874,
      1.0961994098979384,
      1.0961478548365096,
      1.096096784795295,
      1.096046195309371,
      1.0959960819020287,
      1.0959464399751642,
      1.0958972649032017,
      1.0958485522792978,
      1.095800297704101,
      1.0957524967274501,
      1.0957051450438846,
      1.0956582384851514,
      1.0956117729113783,
      1.0955657437967536,
      1.0955201470355376,
      1.0954749786297766,
      1.0954302344279412,
      1.0953859102192904,
      1.095342002235422,
      1.095298506634745,
      1.0952554194451491,
      1.0952127366586455,
      1.0951704544278362,
      1.0951285689066017,
      1.0950870764977936,
      1.095045973490767,
      1.095005256105684,
      1.0949649205887182,
      1.094924963561639,
      1.0948853812526922,
      1.0948461700495125,
      1.0948073265947507,
      1.0947688475256483,
      1.0947307292647566,
      1.0946929683188555,
      1.0946555613744637,
      1.0946185051903699,
      1.0945817961849786,
      1.094545431040393,
      1.0945094074088153,
      1.0944737237049718,
      1.0944383779332665,
      1.0944033680405618,
      1.0943686920142952,
      1.094334347573674,
      1.0943003321658298,
      1.0942666433681505,
      1.0942332786298539
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.18350274122011,
      10.995262893244396,
      10.797052648663207,
      10.590346156113398,
      10.376587624003577,
      10.157256528283577,
      9.93396447225875,
      9.708230740239888,
      9.48144651041501,
      9.25494723142986,
      9.02997985586203,
      8.807652467447868,
      8.588901244307989,
      8.374472914633282,
      8.164912596932263,
      7.960563087626913,
      7.761574808624452,
      7.567924079153965,
      7.379437043653665,
      7.195816694031117,
      7.016670810504429,
      6.841539188364241,
      6.6699190676849085,
      6.50128427942307,
      6.335104301165949,
      6.170865614916081,
      6.008087434552487,
      5.846335203635341,
      5.685226398946068,
      5.524435048206752,
      5.363691485897216,
      5.202801259906856,
      5.041664182603342,
      4.880273622232256,
      4.718716748148483,
      4.5571712216850715,
      4.39587293095515,
      4.235113212591415,
      4.075261162780087,
      3.916762364689861,
      3.7601270209424325,
      3.6059060327835266,
      3.4546606164002736,
      3.3069467320843304,
      3.163297642538288,
      3.0242131050137644,
      2.890147885466989,
      2.7615018347661024,
      2.638613247195057,
      2.5217552047805896,
      2.411134471340734,
      2.30689301000858,
      2.209111555601792,
      2.117814505495766,
      2.0329726389639267,
      1.9545049057731805,
      1.8822934459857996,
      1.8162012940960937,
      1.756072887039465,
      1.7017340517897832,
      1.6529958677640677,
      1.6096309062332392,
      1.57137646299852,
      1.5378869228475238,
      1.5087136479521526,
      1.4833498328508188,
      1.4612405252806384,
      1.4418487426830933,
      1.4247662178583478,
      1.409685176600664,
      1.3963449132141055,
      1.3845032759626275,
      1.3739461574766665,
      1.3644901857939693,
      1.355979127559065,
      1.3482801069739294,
      1.3412797239736318,
      1.3348828050115604,
      1.3290100164211114,
      1.3235933243752855,
      1.318574087635515,
      1.313901798652508,
      1.3095331286719876,
      1.305430773482604,
      1.3015625186439774,
      1.297900538115368,
      1.2944207892764281,
      1.2911024909317945,
      1.287927673143619,
      1.2848807887850553,
      1.281948378684022,
      1.2791187828357968,
      1.2763818918459753,
      1.273728932824133,
      1.2711522845173702,
      1.2686453187202893,
      1.2662022625168918,
      1.2638180809542856,
      1.2614883753846804,
      1.2592092957723808,
      1.2569774659834982,
      1.2547899185401121,
      1.2526440386849607,
      1.2505375165399766,
      1.2484683059453412,
      1.2464345884176122,
      1.2444347427549938,
      1.2424673187368478,
      1.2405310140288774,
      1.2386246546802995,
      1.2367471783807023,
      1.2348976200546868,
      1.2330750991188428,
      1.231278808745834,
      1.2295080066670792,
      1.2277620069460367,
      1.2260401729682548,
      1.2243419117433803,
      1.2226666687504855,
      1.2210139233220103,
      1.2193831844091763,
      1.217773988097827,
      1.2161858943806139,
      1.2146184843010106,
      1.213071358077104,
      1.2115441330331345,
      1.2100364423038033,
      1.2085479330383118,
      1.207078265323287,
      1.2056271112643604,
      1.2041941534621998,
      1.2027790846117783,
      1.201381606850459,
      1.2000014310586307,
      1.1986382761120826,
      1.1972918681870044,
      1.1959619406770317,
      1.194648233602993,
      1.1933504935836716,
      1.1920684731971445,
      1.1908019265280119,
      1.1895506089310364,
      1.1883142818259769,
      1.1870927129149949,
      1.1858856758941836,
      1.184692949912774,
      1.183514319491569,
      1.1823495740870333,
      1.1811985078604395,
      1.1800609195493332,
      1.1789366123408052,
      1.1778253931859846,
      1.1767270730815935,
      1.1756414669453688,
      1.1745683936451654,
      1.173507675164414,
      1.1724591369883683,
      1.1714226080335879,
      1.1703979205781077,
      1.1693849097854918,
      1.168383413687051,
      1.1673932733170813,
      1.166414332747118,
      1.1654464388158225,
      1.1644894410629627,
      1.1635431917149093,
      1.162607545365565,
      1.1616823593699765,
      1.1607674932212415,
      1.1598628093015846,
      1.1589681719045999,
      1.158083447835259,
      1.1572085059419948,
      1.1563432174125532,
      1.1554874554095635,
      1.1546410953167419,
      1.1538040146300228,
      1.152976092696894,
      1.1521572111685499,
      1.1513472533847111,
      1.1505461044204865,
      1.1497536512350786,
      1.148969782567329,
      1.148194389086098,
      1.1474273631347436,
      1.1466685986797518,
      1.145917991514375,
      1.1451754389036293,
      1.144440839636853,
      1.1437140942843949,
      1.1429951051500473,
      1.14228377576689,
      1.1415800110036147,
      1.1408837171210036,
      1.1401948022356903,
      1.1395131756660832,
      1.1388387479913589,
      1.1381714309581032,
      1.1375111378454805,
      1.1368577835260494,
      1.1362112838666591,
      1.1355715557400052,
      1.134938517443659,
      1.1343120886623055,
      1.133692190176591,
      1.1330787438777135,
      1.1324716726812474,
      1.1318709006956962,
      1.1312763530865053,
      1.130687956093692,
      1.1301056371009224,
      1.1295293245527869,
      1.1289589478220299,
      1.1283944373316919,
      1.1278357242710626,
      1.1272827409733466,
      1.1267354207855782,
      1.1261936978884683,
      1.1256575075746795,
      1.1251267856123157,
      1.1246014691346757,
      1.12408149585266,
      1.123566804386532,
      1.1230573341915302,
      1.1225530256365888,
      1.1220538198805783,
      1.121559658800031,
      1.1210704852733184,
      1.1205862426520037,
      1.1201068751989338,
      1.119632328018388,
      1.1191625467328037,
      1.1186974778210785,
      1.1182370682455196,
      1.1177812658417654,
      1.1173300191506268,
      1.1168832774026924,
      1.116440990554823,
      1.116003109123458,
      1.1155695842729791,
      1.1151403678538465,
      1.1147154124921175,
      1.1142946711709352,
      1.113878097677531,
      1.113465646083949,
      1.113057271296543,
      1.1126529289958695,
      1.1122525751194408,
      1.1118561663113995,
      1.1114636595079421,
      1.1110750122860857,
      1.1106901828567368,
      1.1103091299570838,
      1.1099318130484803,
      1.109558191904975,
      1.109188226659744,
      1.1088218779534547,
      1.1084591069306586,
      1.1080998753893503,
      1.1077441457278367,
      1.107391880332537,
      1.1070430422885038,
      1.1066975951239661,
      1.106355502860628,
      1.106016729861052,
      1.1056812410326433,
      1.1053490017268237,
      1.105019977740435,
      1.1046941352161272,
      1.1043714407463565,
      1.1040518611728936,
      1.10373536374246,
      1.1034219162627823,
      1.1031114869034304,
      1.1028040442003484,
      1.1024995570611547,
      1.1021979945160898,
      1.1018993263340835,
      1.1016035225714698,
      1.1013105535787495,
      1.1010203899059907,
      1.1007330027173072,
      1.1004483631884603,
      1.1001664429218867,
      1.0998872138026206,
      1.0996106482615833,
      1.0993367230494455,
      1.0990654226629342,
      1.0987967313372682,
      1.0985306317031045,
      1.0982671052209423,
      1.0980061324096915,
      1.0977476926152985,
      1.0974917647947415,
      1.0972383272311164,
      1.0969873577557192,
      1.0967388338677224,
      1.0964927330564813,
      1.0962490322587783,
      1.096007708790325,
      1.0957687395990094,
      1.0955321016874597,
      1.0952977720775323,
      1.0950657278766451,
      1.0948359465474766,
      1.0946084053644694,
      1.094383081988671,
      1.0941599541278535,
      1.093938999348783,
      1.0937201959069416,
      1.093503521898261,
      1.0932889558861705,
      1.0930764764096559,
      1.092866062203849,
      1.0926576921661741,
      1.0924513455263123,
      1.092247001864057,
      1.0920446407206148,
      1.0918442418711847,
      1.0916457853435186,
      1.0914492513858087,
      1.0912546204860025,
      1.091061873289394,
      1.0908709907708372,
      1.0906819542043387,
      1.0904947448783842,
      1.0903093441165121,
      1.0901257334504229,
      1.0899438949971714,
      1.089763810921245,
      1.0895854635582398,
      1.0894088353351867,
      1.0892339087927263,
      1.08906066691272,
      1.088889092734207,
      1.0887191694782792,
      1.088550880418769,
      1.0883842090074203,
      1.0882191391011442,
      1.0880556544261946,
      1.0878937393658674,
      1.087733378120402,
      1.0875745551388858,
      1.0874172548897516,
      1.0872614622422734,
      1.0871071622378041,
      1.0869543399123345,
      1.0868029805260255,
      1.0866530696911694,
      1.0865045930430695,
      1.086357536368603,
      1.086211885328156,
      1.0860676259403295,
      1.0859247443548985,
      1.0857832270840644,
      1.0856430606236231,
      1.085504231633926,
      1.085366726764647,
      1.0852305329883896,
      1.0850956371718028,
      1.084962026613051,
      1.0848296887149245,
      1.0846986109637575,
      1.0845687807554463,
      1.0844401858320993,
      1.0843128141084764,
      1.0841866534479814,
      1.0840616918964754,
      1.083937917712687,
      1.0838153191956539,
      1.0836938845629684,
      1.083573602643059,
      1.0834544621436142,
      1.0833364518867934,
      1.083219560841091,
      1.0831037782039596,
      1.0829890929764299,
      1.0828754945037369,
      1.0827629722028718,
      1.0826515154424112,
      1.0825411137787504,
      1.0824317570397224,
      1.0823234350528153,
      1.0822161375767025,
      1.0821098547414574,
      1.0820045766244242,
      1.0819002935892428,
      1.081796995862179,
      1.0816946737187298,
      1.0815933178228159,
      1.081492918905363,
      1.0813934676465315,
      1.0812949547611055,
      1.0811973711859943,
      1.0811007080136368,
      1.0810049562727935,
      1.0809101071165705,
      1.080816151806984,
      1.0807230815470694,
      1.0806308878724369,
      1.080539562178563,
      1.0804490962655948,
      1.0803594820185236,
      1.0802707110879113,
      1.0801827753330342,
      1.0800956667059236,
      1.0800093770335981,
      1.079923898614337,
      1.079839223848034,
      1.0797553447140584,
      1.0796722535201904,
      1.0795899427874316,
      1.0795084051350687,
      1.0794276329623513,
      1.0793476190965923,
      1.0792683562715788,
      1.0791898371657247,
      1.0791120547962063,
      1.07903500204857,
      1.0789586719186763,
      1.0788830576020292,
      1.0788081521763395,
      1.0787339486912237,
      1.0786604404609657,
      1.0785876210017888,
      1.078515483766003,
      1.0784440221305045,
      1.0783732294357384,
      1.0783030993808391,
      1.0782336257071912,
      1.078164802085666,
      1.0780966223594728,
      1.0780290805334372,
      1.077962170508841,
      1.0778958862761292,
      1.0778302218022753,
      1.0777651711727758,
      1.0777007284283728,
      1.0776368879614326,
      1.077573644251621,
      1.0775109912962566,
      1.0774489235663935,
      1.0773874353353226,
      1.0773265212790009,
      1.077266175805035,
      1.0772063936023868,
      1.077147169224591,
      1.077088497639828,
      1.0770303736113351,
      1.0769727915863654,
      1.0769157464491186,
      1.0768592333082005,
      1.076803247284255,
      1.0767477832977927,
      1.0766928362634476,
      1.076638401335094,
      1.0765844736429657,
      1.0765310484374202,
      1.076478120825932,
      1.0764256863748976,
      1.0763737405418323,
      1.0763222785148199,
      1.0762712954578664,
      1.0762207871129361,
      1.0761707491306485,
      1.0761211767574135,
      1.0760720656407319,
      1.076023411414218,
      1.0759752098424036,
      1.075927456609609,
      1.0758801476173334,
      1.0758332787224756,
      1.075786845577241,
      1.0757408440281355,
      1.075695270210266,
      1.0756501199297757,
      1.0756053893177626,
      1.0755610743651915,
      1.0755171712718152,
      1.0754736760832064,
      1.07543058498869,
      1.0753878940091783,
      1.0753455995497803,
      1.0753036979351358,
      1.075262185504591
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.18351378724196,
      10.995314155011714,
      10.797189085944717,
      10.590615254765355,
      10.377037546455096,
      10.157943848060068,
      9.934949499517225,
      9.709565888747672,
      9.483179477656014,
      9.257120994608478,
      9.032633277267708,
      8.810819954794798,
      8.592613248648451,
      8.37875644678704,
      8.169791897926894,
      7.966060450848456,
      7.767711460656767,
      7.574721031669761,
      7.386915847777784,
      7.2040000432837425,
      7.025582962273083,
      6.851206184233865,
      6.680368742358063,
      6.512547742165325,
      6.347214760738209,
      6.1838569517882265,
      6.021993374972161,
      5.861188302419546,
      5.70105897790676,
      5.541279032628592,
      5.38157865814326,
      5.221756335817209,
      5.061703168400245,
      4.901402528085896,
      4.740930232578017,
      4.580453188399371,
      4.42020260524683,
      4.26045830883282,
      4.101574611553281,
      3.9439797790934215,
      3.7881678168757924,
      3.6346794734777985,
      3.484070860347029,
      3.33689343005967,
      3.1936791864576692,
      3.0549278933211887,
      2.9210968345226895,
      2.7925906585696985,
      2.6697542347926246,
      2.5528685516681473,
      2.442149252109829,
      2.3377477587236664,
      2.2397544025633236,
      2.1482025487791656,
      2.0630702237697753,
      1.9842831789263389,
      1.9117329838537607,
      1.8452908992935435,
      1.784806965035225,
      1.7301113713773133,
      1.6810147346401927,
      1.6372865551537517,
      1.5986651620285792,
      1.564803264347592,
      1.5352502831218482,
      1.5094971546898106,
      1.4869881046556834,
      1.4671860885292203,
      1.4496823826607397,
      1.4341685248370002,
      1.4203850187606784,
      1.4080933285761204,
      1.3970816063215215,
      1.3871681571430796,
      1.3781980442274324,
      1.3700395552663944,
      1.362580397439261,
      1.3557251613252381,
      1.349394541196751,
      1.3435212108579193,
      1.3380472879934693,
      1.3329229525370019,
      1.3281052428909086,
      1.3235572603314143,
      1.3192472812402434,
      1.3151478857157737,
      1.3112353639425673,
      1.3074892042191988,
      1.3038916513605563,
      1.300427325633675,
      1.2970828944543966,
      1.2938467895731118,
      1.2907089635438944,
      1.287660679272898,
      1.2846943298541664,
      1.2818032825503702,
      1.278981744037336,
      1.2762246455132304,
      1.2735275433309277,
      1.2708865334128354,
      1.2682981772559194,
      1.2657594388158422,
      1.2632676298351748,
      1.2608203628648562,
      1.2584155105196546,
      1.256051170988121,
      1.2537256376850558,
      1.2514373737854965,
      1.2491849899420076,
      1.2469672248107972,
      1.2447829287271237,
      1.2426310494988952,
      1.2405106201038099,
      1.238420748075468,
      1.2363606063158856,
      1.234329425326213,
      1.2323264864423296,
      1.2303511158153118,
      1.2284026793859424,
      1.226480578492729,
      1.2245842460594407,
      1.2227131431041054,
      1.2208667561264104,
      1.2190445946083643,
      1.2172461888298365,
      1.2154710875391614,
      1.2137188566472048,
      1.2119890778753986,
      1.210281347408178,
      1.2085952745485664,
      1.2069304812406363,
      1.2052866009838452,
      1.2036632778506673,
      1.202060165911665,
      1.2004769288139554,
      1.1989132390548107,
      1.197368777356999,
      1.1958432325017234,
      1.1943363009580052,
      1.1928476863081259,
      1.1913770989272454,
      1.1899242561199959,
      1.1884888812904035,
      1.187070703975935,
      1.1856694598304007,
      1.1842848899958267,
      1.1829167409826415,
      1.1815647626671884,
      1.180228703996194,
      1.1789083185005889,
      1.1776033658905651,
      1.1763136119231192,
      1.175038827813272,
      1.1737787901042591,
      1.1725332802846045,
      1.1713020849148545,
      1.1700849948397527,
      1.1688818054182912,
      1.1676923159405868,
      1.1665163300624384,
      1.165353655427004,
      1.1642041033889374,
      1.1630674887388377,
      1.161943630038398,
      1.1608323490917114,
      1.1597334712305767,
      1.1586468251428472,
      1.1575722422436474,
      1.1565095569620647,
      1.1554586071301454,
      1.1544192334063332,
      1.1533912791065553,
      1.1523745903914278,
      1.1513690159965344,
      1.150374407166335,
      1.1493906178939668,
      1.1484175047548315,
      1.1474549267916172,
      1.1465027452476035,
      1.1455608237580344,
      1.1446290281352298,
      1.1437072267646682,
      1.1427952899337983,
      1.141893090127993,
      1.1410005019197422,
      1.140117402011586,
      1.1392436690762928,
      1.1383791837501238,
      1.1375238284744689,
      1.1366774876427805,
      1.1358400474944035,
      1.1350113960598274,
      1.1341914231066346,
      1.1333800202896056,
      1.1325770808948072,
      1.1317824998895833,
      1.1309961737697996,
      1.130218000662009,
      1.1294478803247112,
      1.1286857142012703,
      1.1279314052194678,
      1.1271848576427148,
      1.1264459769724098,
      1.1257146702070484,
      1.1249908462038984,
      1.1242744147702202,
      1.1235652872809454,
      1.1228633761780777,
      1.1221685950809472,
      1.1214808597110748,
      1.1208000862243397,
      1.1201261920357255,
      1.1194590960341557,
      1.1187987183407135,
      1.11814498016928,
      1.1174978037390297,
      1.1168571122886088,
      1.116222830498409,
      1.1155948840490053,
      1.1149731996382428,
      1.1143577048460005,
      1.1137483286612184,
      1.1131450008398476,
      1.112547651975513,
      1.111956213621374,
      1.1113706182092447,
      1.11079079947798,
      1.1102166918858298,
      1.109648230938679,
      1.1090853527562838,
      1.1085279944018542,
      1.1079760938051242,
      1.1074295899915776,
      1.1068884226515159,
      1.1063525324215608,
      1.1058218604040746,
      1.105296348703991,
      1.1047759402544366,
      1.1042605787449027,
      1.1037502196394167,
      1.1032448305843825,
      1.1027443770317453,
      1.102248821442013,
      1.1017581244138481,
      1.101272244741497,
      1.1007911399266377,
      1.1003147662801216,
      1.099843079122982,
      1.0993760334428504,
      1.0989135836845003,
      1.0984556842511495,
      1.0980022891910477,
      1.0975533524934575,
      1.0971088283842414,
      1.096668671112117,
      1.0962328350911295,
      1.0958012750425878,
      1.0953739460354275,
      1.094950803170494,
      1.0945318021295334,
      1.0941168991139536,
      1.0937060505300047,
      1.093299213335142,
      1.0928963448759303,
      1.0924974028286651,
      1.0921023455972827,
      1.091711131796884,
      1.0913237203476511,
      1.0909400709758754,
      1.0905601440547907,
      1.0901838998355275,
      1.0898112992549487,
      1.0894423035738554,
      1.0890768747787214,
      1.0887149753739682,
      1.0883565680730565,
      1.0880016159476433,
      1.0876500826275433,
      1.0873019320439463,
      1.086957128732316,
      1.0866156377799918,
      1.086277424570932,
      1.08594245493798,
      1.08561069475564,
      1.0852821107031871,
      1.0849566699094055,
      1.0846343396489775,
      1.084315087547612,
      1.0839988816347739,
      1.083685690498815,
      1.0833754830358164,
      1.0830682284024156,
      1.0827638962230315,
      1.082462456441679,
      1.0821638792251842,
      1.0818681351207213,
      1.0815751951122217,
      1.08128503067742,
      1.0809976134384973,
      1.080712915372461,
      1.0804309086150308,
      1.0801515659259815,
      1.079874860239661,
      1.0796007646735293,
      1.07932925289306,
      1.0790602986126003,
      1.0787938760626237,
      1.0785299594403779,
      1.0782685235814757,
      1.0780095435129162,
      1.0777529946168989,
      1.0774988526936793,
      1.0772470933124927,
      1.0769976923831082,
      1.0767506264732105,
      1.076505872160529,
      1.0762634063513543,
      1.0760232062433117,
      1.0757852493905204,
      1.075549513413036,
      1.075315976214977,
      1.0750846159487366,
      1.0748554110304411,
      1.074628340053957,
      1.0744033819087004,
      1.074180515694326,
      1.0739597206866265,
      1.0737409765070387,
      1.0735242630893411,
      1.073309560544889,
      1.0730968489774058,
      1.0728861085518924,
      1.072677319970595,
      1.0724704639324452,
      1.0722655217114707,
      1.0720624747189151,
      1.0718613043196599,
      1.0716619923610002,
      1.0714645206336373,
      1.071268871146542,
      1.0710750261986608,
      1.0708829681458605,
      1.0706926798292222,
      1.0705041440374212,
      1.0703173436305649,
      1.0701322618166762,
      1.0699488820723597,
      1.0697671877590185,
      1.069587162399804,
      1.0694087900587956,
      1.0692320548561474,
      1.069056940839532,
      1.0688834325164702,
      1.0687115146755748,
      1.0685411717500342,
      1.0683723886051568,
      1.0682051503599013,
      1.0680394421578918,
      1.067875249498245,
      1.0677125576510202,
      1.0675513523442313,
      1.0673916193323079,
      1.0672333445243214,
      1.067076514061328,
      1.0669211141400607,
      1.0667671311416953,
      1.0666145517099177,
      1.066463362473673,
      1.0663135500748688,
      1.0661651013486102,
      1.0660180035037872,
      1.0658722435924561,
      1.0657278089958502,
      1.0655846869953456,
      1.0654428652590686,
      1.0653023316169716,
      1.065163073887095,
      1.0650250800066823,
      1.0648883381129903,
      1.0647528364206265,
      1.0646185632519372,
      1.0644855068128705,
      1.064353655732004,
      1.0642229986334735,
      1.064093524116961,
      1.0639652212463058,
      1.0638380790214648,
      1.0637120866645526,
      1.0635872334988647,
      1.063463508777543,
      1.063340902020566,
      1.0632194025383095,
      1.0630990001250333,
      1.0629796843282269,
      1.0628614451933829,
      1.062744272635756,
      1.0626281565241544,
      1.0625130871207342,
      1.0623990547075859,
      1.0622860495694275,
      1.0621740622814027,
      1.062063083183614,
      1.0619531029234834,
      1.0618441122354763,
      1.0617361018226918,
      1.0616290627472398,
      1.0615229862107094,
      1.0614178631824314,
      1.0613136846882614,
      1.0612104422016926,
      1.0611081270178284,
      1.061006730492145,
      1.060906243923178,
      1.0608066589947331,
      1.0607079674047015,
      1.0606101610027363,
      1.0605132316227581,
      1.06041717111938,
      1.0603219711493985,
      1.0602276240725566,
      1.0601341219710012,
      1.0600414569401577,
      1.059949621583264,
      1.0598586083365014,
      1.059768409607948,
      1.0596790177128255,
      1.0595904252665318,
      1.0595026249676087,
      1.0594156095846852,
      1.059329371739649,
      1.0592439044537967,
      1.0591592006772375,
      1.059075253428718,
      1.0589920558336272,
      1.0589096011115833,
      1.0588278822077326,
      1.0587468924922756,
      1.0586666253411336,
      1.0585870741749082,
      1.058508232344819,
      1.0584300934258943,
      1.0583526510526222,
      1.0582758987035694,
      1.0581998301474678,
      1.0581244391772875,
      1.0580497197005407,
      1.0579756657281414,
      1.0579022712615735,
      1.0578295302309506,
      1.0577574365348308,
      1.0576859842323376,
      1.0576151675831877,
      1.0575449807316877,
      1.0574754178994863,
      1.057406473476674,
      1.0573381420113748,
      1.0572704177926346,
      1.057203295297801,
      1.0571367690296507,
      1.0570708336587262,
      1.0570054838609588,
      1.0569407142569849,
      1.0568765197072394,
      1.0568128948954512,
      1.0567498347767894,
      1.056687334263063,
      1.056625388264243,
      1.0565639918825047,
      1.0565031401995042,
      1.0564428281656582,
      1.0563830508450727,
      1.05632380360969,
      1.0562650817237866,
      1.0562068801316729,
      1.0561491941605423,
      1.0560920191554386,
      1.0560353504707147,
      1.0559791835630323,
      1.055923513983,
      1.055868337417554,
      1.0558136493259245,
      1.0557594454907093,
      1.0557057215012702,
      1.055652472999804,
      1.0555996956223521
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183524411761898,
      10.995364117893809,
      10.797322860859772,
      10.590880733321645,
      10.37748288447265,
      10.158625650129196,
      9.935928182782128,
      9.71089379711379,
      9.484904112012885,
      9.259285150840586,
      9.03527557490689,
      8.813974508622643,
      8.596310165806694,
      8.38302233626836,
      8.174650538847027,
      7.97153361665176,
      7.773819798615293,
      7.58148491579529,
      7.3943561335991435,
      7.212138674941272,
      7.034443400023813,
      6.860813633747819,
      6.690750176659964,
      6.52373294767582,
      6.359236116679977,
      6.196747533701153,
      6.035786160166663,
      5.875915184377765,
      5.716751290761641,
      5.557966731175583,
      5.39929178873453,
      5.240519883030337,
      5.081533499926344,
      4.922306299332615,
      4.762903045058022,
      4.603478915481271,
      4.444259668199189,
      4.285516319545554,
      4.12758922195031,
      3.9708897403101218,
      3.8158957243343488,
      3.6631354183909965,
      3.5131596651353805,
      3.366515980588983,
      3.223734788627185,
      3.085315680220192,
      2.951718022037797,
      2.8233507867570156,
      2.700565034344579,
      2.5836493271685037,
      2.4728279285030723,
      2.3682614768926364,
      2.270049715582268,
      2.178234728178795,
      2.092801761445727,
      2.013684134158199,
      1.9407828702490735,
      1.87397681418269,
      1.8131215268880487,
      1.7580518560218967,
      1.7085781262990976,
      1.664467562950558,
      1.6254597474529933,
      1.5912064918749271,
      1.5612559211001005,
      1.53509747099869,
      1.5121755155651702,
      1.4919524707481933,
      1.4740182610762154,
      1.4580622783083435,
      1.4438261197785482,
      1.4310759787111145,
      1.4196022390272522,
      1.409224805535084,
      1.3997900256085851,
      1.3911672060161673,
      1.3832451108892139,
      1.375928755052624,
      1.3691382273114847,
      1.362806848203274,
      1.3568773689612539,
      1.3513004592401197,
      1.346033719493055,
      1.3410406129465546,
      1.3362896379024773,
      1.3317537437962597,
      1.3274095660981322,
      1.323236870377529,
      1.3192181200298967,
      1.3153381037162095,
      1.3115836144894724,
      1.3079431723629145,
      1.3044067866947207,
      1.3009657502852305,
      1.297612462370965,
      1.2943402772958157,
      1.2911433729472275,
      1.2880166377283515,
      1.2849555735701408,
      1.2819562124921466,
      1.2790150446328632,
      1.276128956030186,
      1.27329517520018,
      1.2705112275150385,
      1.2677748955716912,
      1.2650841854236816,
      1.2624372969755835,
      1.259832598825501,
      1.2572686065714551,
      1.254743964007397,
      1.2522574268902773,
      1.2498078489613778,
      1.2473941703646059,
      1.2450154066218442,
      1.2426706402430487,
      1.2403590127780357,
      1.2380797178633447,
      1.2358319956659347,
      1.2336151278044587,
      1.231428433151445,
      1.2292712640046708,
      1.2271430023197094,
      1.2250430572222175,
      1.2229708626788054,
      1.2209258752748948,
      1.218907572046664,
      1.2169154488748521,
      1.2149490193884578,
      1.2130078134624644,
      1.2110913757156063,
      1.2091992647703407,
      1.2073310520539442,
      1.2054863215644809,
      1.203664668872571,
      1.2018657004266335,
      1.2000890331614658,
      1.19833429374879,
      1.1966011185579388,
      1.1948891525467316,
      1.1931980489636513,
      1.1915274695055749,
      1.189877083761644,
      1.1882465690112538,
      1.1866356098172517,
      1.1850438974134774,
      1.1834711300568583,
      1.1819170123100364,
      1.1803812552885025,
      1.1788635761944737,
      1.177363698205692,
      1.1758813500064857,
      1.1744162659281523,
      1.1729681858337861,
      1.1715368512381694,
      1.1701220032518145,
      1.168723388452466,
      1.1673407601264534,
      1.1659738773756965,
      1.1646225047345904,
      1.1632864122962148,
      1.1619653752800974,
      1.160659173855155,
      1.1593675926580587,
      1.1580904209225396,
      1.1568274523037538,
      1.155578484500178,
      1.1543433191299055,
      1.1531217619633747,
      1.1519136222410682,
      1.1507187128053582,
      1.1495368503342962,
      1.148367854762168,
      1.1472115494635247,
      1.1460677607762386,
      1.1449363184402765,
      1.1438170551724087,
      1.1427098067501917,
      1.1416144118417373,
      1.1405307119381516,
      1.1394585510824073,
      1.138397776361696,
      1.137348237332416,
      1.1363097863612843,
      1.1352822780513991,
      1.1342655696862416,
      1.1332595210125476,
      1.132263994024603,
      1.1312788528502533,
      1.1303039639934778,
      1.1293391962215729,
      1.128384420402327,
      1.1274395095959835,
      1.1265043388427285,
      1.1255787852051766,
      1.124662727709727,
      1.123756047288364,
      1.122858627026683,
      1.1219703516495982,
      1.1210911079232482,
      1.1202207840913794,
      1.1193592702783393,
      1.1185064585371591,
      1.1176622426439864,
      1.1168265179445431,
      1.1159991808957461,
      1.115180129878926,
      1.1143692648953014,
      1.1135664874657816,
      1.1127717004804842,
      1.1119848086084707,
      1.1112057177928636,
      1.1104343354081883,
      1.1096705701127818,
      1.108914332109001,
      1.1081655418479577,
      1.1074241426203637,
      1.1066900781306115,
      1.1059632884389023,
      1.105243710676094,
      1.104531279090992,
      1.1038259259562877,
      1.1031275824186846,
      1.102436178379203,
      1.1017516430825234,
      1.1010739049914597,
      1.100402892574841,
      1.099738534025434,
      1.0990807575871537,
      1.0984294916772583,
      1.0977846654151873,
      1.0971462081335948,
      1.0965140495502732,
      1.0958881198379027,
      1.095268349896979,
      1.09465467147653,
      1.0940470166335936,
      1.093445318159321,
      1.0928495101580138,
      1.0922595271516033,
      1.0916753041006424,
      1.0910967770348152,
      1.0905238828709256,
      1.089956559384259,
      1.089394744722605,
      1.0888383779885482,
      1.0882873990086372,
      1.0877417483067018,
      1.0872013670775595,
      1.086666197619043,
      1.086136182849479,
      1.085611266283667,
      1.085091392467014,
      1.0845765063423243,
      1.0840665535324412,
      1.0835614806746976,
      1.0830612543224494,
      1.0825658730715613,
      1.0820753320713314,
      1.0815896187692173,
      1.0811087143879352,
      1.0806325949835336,
      1.0801612320359122,
      1.0796945931828936,
      1.0792326433540607,
      1.0787753449829294,
      1.0783226589267272,
      1.0778745444158717,
      1.0774309593563351,
      1.0769918607813473,
      1.0765572053012449,
      1.0761269489416627,
      1.0757010471832786,
      1.075279455763601,
      1.0748621302065773,
      1.0744490258094483,
      1.0740400980865894,
      1.0736353030095027,
      1.0732345968405541,
      1.0728379361194889,
      1.0724452772427708,
      1.072056577365126,
      1.0716717939794018,
      1.0712908846491445,
      1.070913807707628,
      1.0705405218897575,
      1.0701709863200655,
      1.0698051605014487,
      1.0694430046602004,
      1.0690844793289236,
      1.0687295451841592,
      1.0683781635452432,
      1.0680302961108914,
      1.0676859053068914,
      1.0673449537695305,
      1.0670074044910431,
      1.066673220914141,
      1.0663423669763992,
      1.0660148071045012,
      1.0656905061070336,
      1.065369429220751,
      1.065051542106449,
      1.064736810743235,
      1.0644252015271498,
      1.0641166814208802,
      1.063811217494012,
      1.0635087777350063,
      1.06320932998215,
      1.062912842482392,
      1.0626192838907345,
      1.0623286233721632,
      1.0620408305006825,
      1.0617558752607579,
      1.061473727642345,
      1.0611943581513665,
      1.0609177377615377,
      1.0606438375614151,
      1.0603726290630626,
      1.0601040842568268,
      1.0598381754125326,
      1.0595748749318834,
      1.05931415565876,
      1.0590559909360702,
      1.0588003540015747,
      1.0585472186557336,
      1.058296559065183,
      1.0580483494652448,
      1.0578025645746068,
      1.057559179349355,
      1.0573181692460667,
      1.0570795096209178,
      1.0568431761459718,
      1.0566091448696955,
      1.0563773922273336,
      1.0561478948991796,
      1.0559206296690817,
      1.0556955736394806,
      1.0554727041922707,
      1.0552519990009848,
      1.0550334361961744,
      1.0548169936665825,
      1.0546026499369923,
      1.0543903835715869,
      1.0541801731370293,
      1.0539719979796098,
      1.053765837324586,
      1.0535616707998714,
      1.0533594781973772,
      1.053159239336107,
      1.0529609345867266,
      1.0527645440235498,
      1.0525700485088463,
      1.0523774288455152,
      1.0521866662523611,
      1.0519977422294196,
      1.0518106381186578,
      1.051625335478237,
      1.0514418162026917,
      1.0512600626436757,
      1.0510800569175525,
      1.0509017814844872,
      1.050725218862932,
      1.0505503518529902,
      1.0503771636079116,
      1.0502056374514848,
      1.0500357566959928,
      1.0498675050193682,
      1.0497008660292835,
      1.049535823539133,
      1.0493723615391521,
      1.0492104645749682,
      1.0490501170074606,
      1.0488913034937726,
      1.0487340086036157,
      1.0485782174529878,
      1.0484239149142178,
      1.0482710864538962,
      1.0481197174959274,
      1.0479697934463394,
      1.0478212999212755,
      1.0476742229244982,
      1.0475285485677917,
      1.0473842629441295,
      1.047241352255005,
      1.0470998029889316,
      1.0469596017951412,
      1.0468207353068915,
      1.0466831905749312,
      1.0465469544842319,
      1.0464120140862525,
      1.0462783566262897,
      1.046145969418403,
      1.0460148401783178,
      1.0458849565939117,
      1.0457563064046762,
      1.0456288773281057,
      1.0455026575460513,
      1.045377635225079,
      1.0452537986476063,
      1.0451311363934768,
      1.04500963701396,
      1.0448892890105717,
      1.044770081068283,
      1.044652002136431,
      1.0445350411538783,
      1.0444191871812896,
      1.044304429482463,
      1.0441907576063665,
      1.0440781610116507,
      1.0439666290980245,
      1.0438561515425182,
      1.0437467180261257,
      1.0436383184689184,
      1.0435309428077826,
      1.043424581181334,
      1.0433192236570383,
      1.0432148606196574,
      1.0431114824991092,
      1.0430090796508626,
      1.0429076426429296,
      1.0428071621367043,
      1.0427076287677057,
      1.0426090334841849,
      1.04251136727566,
      1.0424146211052383,
      1.0423187861470995,
      1.0422238535155577,
      1.0421298144516637,
      1.042036660714001,
      1.0419443835964997,
      1.041852974624214,
      1.041762425486643,
      1.0416727278692122,
      1.041583873539605,
      1.0414958543830006,
      1.041408662488505,
      1.0413222898288528,
      1.0412367287032442,
      1.0411519710104278,
      1.0410680093527667,
      1.040984836208174,
      1.0409024437632604,
      1.0408208244071118,
      1.0407399709205893,
      1.0406598758519838,
      1.0405805320116193,
      1.0405019324074223,
      1.040424069671866,
      1.0403469367093379,
      1.0402705266828356,
      1.0401948327463726,
      1.0401198481337024,
      1.040045565992959,
      1.039971979678721,
      1.0398990824341534,
      1.0398268676323486,
      1.039755328865502,
      1.0396844596783132,
      1.0396142537591817,
      1.039544704724445,
      1.0394758062591283,
      1.0394075522570172,
      1.039339936656778,
      1.0392729534301468,
      1.0392065965194808,
      1.0391408598262128,
      1.039075737555255,
      1.0390112237967777,
      1.0389473127694293,
      1.038883998605551,
      1.0388212757469073,
      1.0387591386289141,
      1.0386975816187447,
      1.038636599259126,
      1.0385761861560245,
      1.0385163370191228,
      1.038457046499018,
      1.0383983091259452,
      1.0383401199607525,
      1.0382824737712504,
      1.0382253651747322,
      1.0381687890347535,
      1.0381127405527557,
      1.038057214699217,
      1.0380022065092225,
      1.0379477109202715
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183536444014818,
      10.99541854437495,
      10.797465602243442,
      10.59116119421983,
      10.377950030484298,
      10.159336796810075,
      9.936944425996534,
      9.712267740025458,
      9.486683245704649,
      9.261512190869308,
      9.037988926702845,
      8.817207957931455,
      8.600093400550412,
      8.387381482725056,
      8.17960885112071,
      7.977112317252791,
      7.78003897512402,
      7.5883643829607825,
      7.401916195281419,
      7.220400736393349,
      7.043430397566819,
      6.870550266061072,
      6.701262929446685,
      6.535050787698132,
      6.371391028694078,
      6.209772232254077,
      6.049713297634933,
      5.890776379615899,
      5.732577092142784,
      5.574786384361098,
      5.417134470246776,
      5.259410764914948,
      5.101489157792172,
      4.943333705850001,
      4.784998224091595,
      4.626625825129616,
      4.468435898229019,
      4.310692252095889,
      4.15372123761039,
      3.997918773112266,
      3.8437454041155528,
      3.691715823733856,
      3.542374684363642,
      3.3962654593237835,
      3.2539167072275874,
      3.1158279602041916,
      2.98246034935445,
      2.8542268662903627,
      2.7314845038599933,
      2.614529265318721,
      2.503593931400543,
      2.3988483068690862,
      2.3004015547640986,
      2.2083042001988233,
      2.122548595156756,
      2.0430765058925293,
      1.9697984999509182,
      1.9026011209226463,
      1.8413456031041442,
      1.7858713596444722,
      1.7359877751960788,
      1.6914621098957805,
      1.6520360434617343,
      1.6173617299791752,
      1.5869867964403124,
      1.5604000593412217,
      1.5370469574814656,
      1.5163884020889988,
      1.498011620051396,
      1.481602838702864,
      1.4669046998762338,
      1.4536881247773101,
      1.4417455955635916,
      1.4308983609635262,
      1.4209939078363096,
      1.4119023629393501,
      1.4035134175410693,
      1.3957329773792488,
      1.3884807661219696,
      1.3816897185368089,
      1.3753034358070084,
      1.3692732567209875,
      1.3635571976698608,
      1.358119044959559,
      1.352927639885578,
      1.3479561086921987,
      1.3431812536935788,
      1.3385831105924508,
      1.3341443807511517,
      1.329850035123364,
      1.3256870013050717,
      1.3216438936120438,
      1.3177107805100374,
      1.3138789848337804,
      1.3101409112092557,
      1.3064898978379915,
      1.3029200887854042,
      1.2994263240859123,
      1.296004045234493,
      1.2926492131788383,
      1.2893582389809455,
      1.2861279231496334,
      1.2829554038188513,
      1.279838111915266,
      1.2767737325288442,
      1.2737601719065434,
      1.270795528983041,
      1.2678780705678043,
      1.265006210072555,
      1.2621784893595926,
      1.2593935630904407,
      1.2566501848020704,
      1.253947195312782,
      1.2512835125352932,
      1.248658122741859,
      1.2460700728687684,
      1.243518464110731,
      1.2410024459360274,
      1.238521210976951,
      1.2360739911487093,
      1.2336600537228855,
      1.2312786980150223,
      1.2289292525316606,
      1.2266110724228954,
      1.2243235374936814,
      1.2220660498575713,
      1.219838032655963,
      1.2176389281131144,
      1.215468196655497,
      1.2133253159258321,
      1.2112097790812477,
      1.2091210938497345,
      1.2070587820904524,
      1.2050223788411696,
      1.203011432073238,
      1.2010255014756197,
      1.1990641581504837,
      1.197126983948088,
      1.1952135712041774,
      1.1933235221174348,
      1.1914564486315862,
      1.189611971550659,
      1.1877897206678063,
      1.1859893346362729,
      1.1842104599727188,
      1.1824527510744194,
      1.18071587018225,
      1.178999486934224,
      1.1773032781197421,
      1.1756269272784556,
      1.1739701250090429,
      1.1723325684106645,
      1.1707139609807473,
      1.169114012357885,
      1.1675324381138177,
      1.1659689596452065,
      1.1644233041658267,
      1.1628952037307776,
      1.161384389832534,
      1.1598905960240715,
      1.158413562367138,
      1.1569530354557622,
      1.1555087677796017,
      1.1540805176988858,
      1.1526680492675012,
      1.151271131650181,
      1.149889538743495,
      1.1485230496619134,
      1.1471714478002708,
      1.1458345210664649,
      1.1445120614529445,
      1.143203865218764,
      1.141909732716125,
      1.1406294680646387,
      1.1393628793345203,
      1.138109777916361,
      1.1368699786536822,
      1.1356433000775852,
      1.1344295640315503,
      1.1332285953980485,
      1.1320402224869877,
      1.1308642766104398,
      1.1297005920140957,
      1.1285490061140995,
      1.127409358920684,
      1.1262814930722773,
      1.1251652540223793,
      1.1240604901254572,
      1.122967052113019,
      1.1218847933329439,
      1.1208135696843735,
      1.119753239451399,
      1.1187036631370748,
      1.1176647039085246,
      1.1166362270761414,
      1.1156181005910881,
      1.1146102540941547,
      1.1136126642099713,
      1.1126252938228745,
      1.1116481187305367,
      1.1106811162130337,
      1.1097242466842163,
      1.1087774569842272,
      1.1078406830865652,
      1.106913851461109,
      1.105996881232929,
      1.1050896856135992,
      1.1041921730148367,
      1.103304248151502,
      1.1024258127285969,
      1.1015567664262724,
      1.1006970073702012,
      1.0998464326476387,
      1.0990049387687684,
      1.0981724220230884,
      1.0973487786296703,
      1.0965339047832126,
      1.095727697665133,
      1.0949300549276164,
      1.0941408749907584,
      1.093360056932087,
      1.0925875010367083,
      1.0918231084826961,
      1.09106678128089,
      1.090318422824826,
      1.0895779377290542,
      1.0888452319223496,
      1.0881202121822109,
      1.0874027864830198,
      1.0866928640904747,
      1.0859903557077162,
      1.0852951729611078,
      1.0846072287003687,
      1.0839264369941266,
      1.0832527132280898,
      1.0825859737463301,
      1.0819261361035493,
      1.08127311906378,
      1.0806268424475398,
      1.079987226979523,
      1.079354194950976,
      1.0787276697133,
      1.0781075751220488,
      1.077493836353994,
      1.076886379809714,
      1.0762851327124983,
      1.0756900234195865,
      1.0751009811752505,
      1.07451793622028,
      1.0739408197499574,
      1.073369563872938,
      1.072804101621448,
      1.0722443671150548,
      1.071690295267923,
      1.0711418217508957,
      1.0705988830557993,
      1.0700614166625404,
      1.0695293607488554,
      1.0690026545624312,
      1.0684812379801225,
      1.0679650516780606,
      1.0674540371499135,
      1.0669481367769573,
      1.066447293339208,
      1.0659514506971466,
      1.0654605532026367,
      1.0649745461785955,
      1.064493375687753,
      1.0640169882002006,
      1.063545331227913,
      1.0630783526378018,
      1.0626160010841854,
      1.0621582259841862,
      1.0617049773416718,
      1.0612562056223536,
      1.0608118622907807,
      1.0603718989748028,
      1.0599362681567863,
      1.0595049228476467,
      1.0590778170760233,
      1.0586549048013207,
      1.0582361408616119,
      1.0578214805487662,
      1.057410879743986,
      1.057004295155564,
      1.0566016835401735,
      1.0562030025522087,
      1.0558082101696935,
      1.055417265087126,
      1.0550301262952717,
      1.0546467534752466,
      1.0542671065794933,
      1.0538911463794305,
      1.0535188337935493,
      1.053150130182068,
      1.0527849974891523,
      1.0524233984372195,
      1.052065295908198,
      1.0517106531897995,
      1.051359434171166,
      1.0510116029290815,
      1.0506671239756376,
      1.0503259623028978,
      1.0499880834280548,
      1.0496534532868929,
      1.0493220382296526,
      1.0489938046099985,
      1.0486687191374484,
      1.0483467491789158,
      1.0480278622983208,
      1.0477120265086588,
      1.0473992103209744,
      1.0470893824382201,
      1.0467825119578293,
      1.046478568524064,
      1.0461775220741918,
      1.0458793429411075,
      1.0455840017530904,
      1.0452914694865278,
      1.045001717417198,
      1.0447147173267222,
      1.0444304411498049,
      1.044148860926936,
      1.0438699493678762,
      1.0435936793983578,
      1.043320024419469,
      1.0430489579574684,
      1.0427804540258019,
      1.042514486826315,
      1.042251030756286,
      1.0419900606190675,
      1.0417315513773426,
      1.0414754783644733,
      1.0412218171915075,
      1.0409705436540606,
      1.0407216339450962,
      1.040475064410077,
      1.0402308117606747,
      1.039988852830757,
      1.0397491648414596,
      1.0395117252596628,
      1.0392765117589526,
      1.039043502231442,
      1.0388126747489577,
      1.038584007931812,
      1.0383574802499347,
      1.038133070442965,
      1.0379107575844506,
      1.0376905211466765,
      1.0374723405576292,
      1.0372561955205795,
      1.0370420658764048,
      1.0368299321276881,
      1.036619774691556,
      1.0364115740684372,
      1.036205311214528,
      1.0360009673040784,
      1.0357985232890796,
      1.0355979604245105,
      1.035399260641978,
      1.0352024057030496,
      1.0350073777264501,
      1.0348141586978257,
      1.0346227312005127,
      1.0344330776716801,
      1.0342451809305646,
      1.0340590238928624,
      1.0338745898958959,
      1.0336918621087192,
      1.0335108239089006,
      1.0333314590556233,
      1.0331537514056246,
      1.0329776849855912,
      1.0328032440141364,
      1.0326304127710322,
      1.0324591756703598,
      1.0322895174861986,
      1.0321214229685487,
      1.0319548772734164,
      1.0317898654776856,
      1.0316263728060278,
      1.0314643846545593,
      1.0313038866147783,
      1.0311448643451,
      1.0309873038498676,
      1.0308311910463686,
      1.0306765119931176,
      1.0305232531183588,
      1.0303714007371585,
      1.030220941534613,
      1.0300718621849443,
      1.0299241494796052,
      1.0297777905058239,
      1.0296327725210106,
      1.029489082674475,
      1.029346708441454,
      1.0292056371925185,
      1.0290658565770492,
      1.028927354601873,
      1.028790118998298,
      1.0286541376059344,
      1.0285193986552599,
      1.0283858903891938,
      1.0282536012445593,
      1.0281225197795203,
      1.0279926346010988,
      1.0278639343943792,
      1.0277364078504803,
      1.0276100441030702,
      1.0274848321987564,
      1.0273607615345997,
      1.0272378209729773,
      1.027116000041429,
      1.0269952882513613,
      1.026875675027463,
      1.0267571500435495,
      1.026639703152025,
      1.0265233241611336,
      1.02640800281533,
      1.02629372964087,
      1.0261804945539494,
      1.02606828785905,
      1.025957100077622,
      1.0258469217774506,
      1.0257377434019619,
      1.0256295555571526,
      1.0255223489427114,
      1.0254161146392673,
      1.0253108438370906,
      1.0252065274630384,
      1.0251031564175066,
      1.0250007219129638,
      1.0248992152026175,
      1.0247986275126963,
      1.0246989504835593,
      1.0246001755937202,
      1.0245022944487558,
      1.024405298866797,
      1.0243091808119844,
      1.0242139320227062,
      1.0241195444026183,
      1.0240260099030791,
      1.023933320711342,
      1.023841468828098,
      1.023750446560789,
      1.023660246356264,
      1.023570860429716,
      1.0234822813600994,
      1.0233945017196002,
      1.0233075140083026,
      1.0232213109957768,
      1.0231358856052746,
      1.0230512304927097,
      1.022967338592101,
      1.0228842027965828,
      1.0228018162496537,
      1.0227201722302124,
      1.0226392635794777,
      1.02255908355229,
      1.022479625549236,
      1.0224008829001217,
      1.0223228493091416,
      1.0222455180791046,
      1.0221688826581286,
      1.0220929366267337,
      1.022017673583383,
      1.0219430873863113,
      1.0218691717854644,
      1.0217959204608444,
      1.0217233275700401,
      1.021651387125895,
      1.0215800930866912,
      1.0215094394967363,
      1.0214394206783177,
      1.0213700306097886,
      1.0213012635241823,
      1.0212331139998334,
      1.0211655762372276,
      1.0210986445563168,
      1.0210323133344879,
      1.0209665773514256,
      1.020901431270226,
      1.020836869423201,
      1.0207728865130552,
      1.0207094772460545
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183551515707975,
      10.995482699007718,
      10.797626627706727,
      10.591470303864002,
      10.378460122639007,
      10.160109754252598,
      9.938042354150257,
      9.713743116915088,
      9.48858396840438,
      9.26388118563606,
      9.04086451388774,
      8.820623632220082,
      8.604078428513095,
      8.391961480480893,
      8.184806523297128,
      7.982948339588367,
      7.786532923657043,
      7.59553562195469,
      7.4097846551823245,
      7.228987534489551,
      7.052758269416603,
      6.880643792016387,
      6.712148551366375,
      6.5467567041570565,
      6.383948624015675,
      6.223214489423184,
      6.064073155032531,
      5.906085746996377,
      5.74886660920098,
      5.592085435743378,
      5.435471001597149,
      5.278810318994916,
      5.121968586853604,
      4.964900165981653,
      4.807647806201014,
      4.650342407125114,
      4.4931952160662565,
      4.336463642542049,
      4.180460609194114,
      4.025567793238536,
      3.872229051462573,
      3.7209432601592245,
      3.572246194078666,
      3.4266779645121455,
      3.2847644389552038,
      3.1470053179235795,
      3.0138632620699672,
      2.885755124365482,
      2.7630437569203545,
      2.646032616737237,
      2.5349630953886653,
      2.4300143302645543,
      2.3313049111940205,
      2.2388940554256336,
      2.152781888367459,
      2.0729192840331256,
      1.999226930518733,
      1.9315988027265452,
      1.869902092592362,
      1.813980538515048,
      1.763642908070901,
      1.718657929484667,
      1.6787702072127322,
      1.6436337738062943,
      1.6127967030832446,
      1.5857485135613447,
      1.5619364289264135,
      1.5408190250941094,
      1.5219787698681142,
      1.5050988100608103,
      1.4899215195205995,
      1.4762228248411193,
      1.4637980225399503,
      1.4524695669297114,
      1.4420859846002072,
      1.4325181134202243,
      1.4236561350282977,
      1.415406515640714,
      1.4076893691372945,
      1.4004366436189175,
      1.3935916280891223,
      1.3871064194577118,
      1.38093964840762,
      1.3750555826458988,
      1.3694233453810876,
      1.3640162362565897,
      1.3588112182537126,
      1.3537884114946444,
      1.3489305854368212,
      1.3442228634552145,
      1.339652330335984,
      1.3352077114316443,
      1.330879146728389,
      1.326657997100503,
      1.3225366771926272,
      1.3185085116027102,
      1.3145676109844902,
      1.3107087653479705,
      1.3069273523447895,
      1.3032192586825213,
      1.299580811795653,
      1.2960087212422542,
      1.2925000284319683,
      1.2890520632423728,
      1.285662406743913,
      1.2823288590002964,
      1.2790494112699615,
      1.275822221833065,
      1.2726455956872837,
      1.269517966475676,
      1.266437881452034,
      1.2634039878488723,
      1.2604150215573626,
      1.2574697972998925,
      1.2545671997821928,
      1.2517061762785044,
      1.248885730341647,
      1.2461049156682849,
      1.2433628318466095,
      1.2406586196447833,
      1.2379914573134314,
      1.2353605572394155,
      1.232765163408001,
      1.230204548909176,
      1.2276780133866274,
      1.2251848810382129,
      1.2227244990661814,
      1.2202962360682847,
      1.2178994809291468,
      1.21553364129672,
      1.21319814230443,
      1.2108924260478438,
      1.2086159502395009,
      1.206368187872781,
      1.2041486262679628,
      1.2019567662123372,
      1.1997921214997183,
      1.1976542187681287,
      1.1955425961610833,
      1.1934568033552664,
      1.1913964012258864,
      1.1893609609975735,
      1.1873500642031074,
      1.185363302179084,
      1.183400275759413,
      1.1814605949135186,
      1.1795438784810837,
      1.1776497541568485,
      1.1757778578610694,
      1.1739278335130092,
      1.172099332800291,
      1.1702920147922724,
      1.168505546007509,
      1.1667396002747352,
      1.1649938583877035,
      1.1632680076047293,
      1.1615617420100361,
      1.159874761906521,
      1.1582067738166202,
      1.1565574904809397,
      1.1549266302450154,
      1.15331391527391,
      1.1517190667093131,
      1.1501418097351985,
      1.1485819165842166,
      1.1470392633593487,
      1.1455137288376938,
      1.1440051740698811,
      1.1425134457975639,
      1.141038379179989,
      1.1395797999351294,
      1.1381375270184197,
      1.1367113739605124,
      1.1353011505456054,
      1.1339066638660358,
      1.1325277190603,
      1.1311641207026042,
      1.1298156730652174,
      1.1284821807810503,
      1.1271634493985692,
      1.1258592858808032,
      1.1245694985410388,
      1.1232938974326898,
      1.1220322948377364,
      1.120784505295503,
      1.1195503455275475,
      1.1183296347173064,
      1.1171221944828043,
      1.1159278566309192,
      1.1147464895464638,
      1.113577969846264,
      1.1124221680875566,
      1.1112789502308391,
      1.1101481789381566,
      1.1090297141490495,
      1.1079234141058671,
      1.1068291359142717,
      1.1057467361995141,
      1.104676071503562,
      1.1036169985257616,
      1.1025693747671363,
      1.101533058663356,
      1.1005079096141779,
      1.0994937882654456,
      1.0984905565864216,
      1.0974980782002823,
      1.0965162183584942,
      1.0955448436091288,
      1.0945838224314393,
      1.0936330250056452,
      1.092692323390054,
      1.0917615913423673,
      1.0908407042429515,
      1.0899295395269855,
      1.0890279762528914,
      1.0881358952307953,
      1.087253178846083,
      1.0863797112395321,
      1.0855153785900031,
      1.0846600683302094,
      1.0838136700411838,
      1.0829760746186787,
      1.0821471744572395,
      1.0813268639405642,
      1.0805150388644362,
      1.0797115964202404,
      1.0789164354333869,
      1.07812945563624,
      1.0773505581618255,
      1.0765796454783116,
      1.0758166216300404,
      1.075061392428404,
      1.0743138646778936,
      1.0735739467250114,
      1.0728415487031855,
      1.0721165817619969,
      1.0713989583651555,
      1.0706885923349119,
      1.069985398439925,
      1.0692892930516205,
      1.0686001938866205,
      1.0679180196993063,
      1.0672426901278724,
      1.066574126252619,
      1.0659122504948328,
      1.0652569858041872,
      1.0646082562199943,
      1.0639659872806073,
      1.0633301052134494,
      1.0627005373972156,
      1.0620772123161955,
      1.061460059414261,
      1.0608490090510982,
      1.060243992561015,
      1.059644942058453,
      1.0590517904470897,
      1.0584644716841918,
      1.057882920791674,
      1.0573070737665775,
      1.0567368671360644,
      1.056172238530733,
      1.0556131260884394,
      1.0550594688253772,
      1.054511206804152,
      1.0539682807438095,
      1.053430632088043,
      1.0528982032268077,
      1.0523709372610457,
      1.0518487779716512,
      1.051331669941712,
      1.0508195582724629,
      1.05031238891038,
      1.0498101083134912,
      1.049312663932494,
      1.0488200037261932,
      1.0483320762371027,
      1.0478488308202272,
      1.0473702172115316,
      1.0468961859612755,
      1.0464266882071234,
      1.0459616756514438,
      1.0455011008951505,
      1.0450449168062972,
      1.0445930769569378,
      1.0441455355014693,
      1.0437022471060606,
      1.043263167184536,
      1.0428282515749316,
      1.042397456471418,
      1.0419707387121662,
      1.0415480557630248,
      1.04112936570187,
      1.0407146268986665,
      1.040303798051837,
      1.0398968385297915,
      1.0394937084594564,
      1.0390943683577951,
      1.0386987790688962,
      1.0383069019562237,
      1.037918698738786,
      1.0375341317858735,
      1.037153163649486,
      1.036775757665504,
      1.036401877334521,
      1.0360314866188003,
      1.0356645499347574,
      1.0353010322981273,
      1.0349408989109052,
      1.0345841153586217,
      1.03423064775731,
      1.0338804624941296,
      1.033533526324524,
      1.0331898065714769,
      1.0328492709696435,
      1.0325118872555923,
      1.0321776239787954,
      1.0318464499911737,
      1.0315183341915417,
      1.0311932460839301,
      1.0308711554209218,
      1.0305520321527235,
      1.0302358466814756,
      1.0299225697602397,
      1.0296121726470129,
      1.0293046268012056,
      1.0289999038352562,
      1.0286979758729276,
      1.0283988155015795,
      1.028102395216577,
      1.0278086882387394,
      1.0275176679086437,
      1.0272293076914605,
      1.0269435813854657,
      1.026660463025757,
      1.0263799271443068,
      1.0261019484713667,
      1.0258265020439659,
      1.025553563467572,
      1.0252831082629796,
      1.0250151122815463,
      1.0247495513571043,
      1.0244864018233861,
      1.0242256403702175,
      1.023967243951872,
      1.0237111895425623,
      1.023457454604515,
      1.0232060166917314,
      1.0229568536137155,
      1.0227099437520606,
      1.0224652651568973,
      1.022222796525444,
      1.021982516451285,
      1.02174440399688,
      1.021508438299501,
      1.021274598788149,
      1.021042865299265,
      1.0208132176842053,
      1.0205856359762457,
      1.0203601007107475,
      1.0201365920756986,
      1.0199150909443555,
      1.0196955781280241,
      1.0194780347990307,
      1.019262442303819,
      1.019048782078055,
      1.0188370357653225,
      1.018627185386854,
      1.0184192131560748,
      1.0182131011917297,
      1.0180088318408635,
      1.0178063877990842,
      1.0176057520786206,
      1.0174069075191705,
      1.0172098373157579,
      1.0170145247332685,
      1.0168209534315515,
      1.0166291070280877,
      1.016438969169444,
      1.016250523856759,
      1.016063755466932,
      1.0158786481129107,
      1.0156951865298922,
      1.01551335543626,
      1.0153331396068046,
      1.0151545237932325,
      1.0149774932551787,
      1.0148020330710235,
      1.0146281288732328,
      1.014455766159791,
      1.014284930521245,
      1.014115607766262,
      1.0139477838946194,
      1.0137814451725642,
      1.013616577648905,
      1.0134531678409298,
      1.0132912024034375,
      1.0131306679509435,
      1.0129715512356487,
      1.012813839173084,
      1.0126575188680098,
      1.0125025776408103,
      1.0123490028506466,
      1.0121967818712834,
      1.0120459023212869,
      1.011896351989589,
      1.011748118710167,
      1.011601190237135,
      1.0114555545771529,
      1.011311199813818,
      1.011168114186488,
      1.011026286372912,
      1.0108857047551547,
      1.0107463580076508,
      1.010608235024394,
      1.010471324490775,
      1.0103356153192609,
      1.0102010966790067,
      1.0100677576693484,
      1.009935587756833,
      1.0098045761441143,
      1.0096747123087344,
      1.0095459860333418,
      1.0094183870299256,
      1.0092919048687088,
      1.0091665294158114,
      1.0090422507116144,
      1.0089190588495915,
      1.0087969440588684,
      1.008675896430591,
      1.0085559065090515,
      1.0084369647135103,
      1.0083190615739077,
      1.0082021875596379,
      1.008086333315037,
      1.0079714898955927,
      1.0078576481906658,
      1.0077447992616044,
      1.007632934019,
      1.007522043764463,
      1.0074121198680772,
      1.007303153598946,
      1.007195136311257,
      1.0070880593763871,
      1.0069819144202683,
      1.0068766930015811,
      1.0067723870019447,
      1.0066689881519286,
      1.006566488218397,
      1.0064648790388575,
      1.006364152759587,
      1.0062643017183912,
      1.0061653178696732,
      1.0060671936334737,
      1.0059699214731574,
      1.0058734936262594,
      1.0057779024450315,
      1.0056831404320097,
      1.0055892002251252,
      1.0054960745320871,
      1.005403756471967,
      1.0053122386457265,
      1.0052215139355334,
      1.0051315754394348,
      1.0050424159997204,
      1.0049540286975072,
      1.004866406635056,
      1.0047795431257622,
      1.0046934313244333,
      1.004608064722316,
      1.0045234366252314,
      1.0044395404454964,
      1.0043563695868312,
      1.004273917787259,
      1.0041921787503094,
      1.004111146030636,
      1.0040308135298663,
      1.0039511749245287,
      1.0038722242129527,
      1.0037939553471407,
      1.0037163622712333,
      1.0036394390621748,
      1.0035631796631288,
      1.0034875783801132,
      1.0034126292599377,
      1.0033383266377751
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183568085373434,
      10.995551720175188,
      10.797797259105732,
      10.591795157445445,
      10.378996134713207,
      10.160924168325781,
      9.939197907512424,
      9.715292196160688,
      9.490574367096361,
      9.266355821418568,
      9.043861501235947,
      8.824176051806388,
      8.60821504988379,
      8.396707344628844,
      8.1901837188988,
      7.988976920336684,
      7.793231862881228,
      7.602923720237666,
      7.417881332090943,
      7.237813454483161,
      7.062335775950489,
      6.890997132887705,
      6.723303891284691,
      6.558741926356138,
      6.396794613049852,
      6.236954159851982,
      6.078739411124462,
      5.9217104971270045,
      5.765479610954735,
      5.609715352107689,
      5.45414523813296,
      5.298554504725148,
      5.142799880501977,
      4.986826033302408,
      4.830664635148384,
      4.674434338432234,
      4.518336145182471,
      4.362622493617057,
      4.207593505953555,
      4.053616845689175,
      3.9011202056013476,
      3.750586119824496,
      3.6025387340989954,
      3.4575144527929162,
      3.316036756446032,
      3.1786053650215536,
      3.045684398232622,
      2.9176943296236955,
      2.7950036981949844,
      2.6779233170490944,
      2.5667031676410335,
      2.461531769950198,
      2.3625370710291196,
      2.2697866017320454,
      2.1832888214154953,
      2.103005052155413,
      2.0288658110074955,
      1.960772719739628,
      1.8985991635058832,
      1.8421934938025664,
      1.7913642943311237,
      1.7458824919156049,
      1.7054962920592192,
      1.6698626753801724,
      1.6385313420979057,
      1.6109937118302027,
      1.5866995702193223,
      1.5651044133806948,
      1.5457840317412217,
      1.5284181326997495,
      1.5127484747301325,
      1.4985555539984832,
      1.485637937095274,
      1.4738191701333183,
      1.4629486632873632,
      1.4528979626036596,
      1.4435576697516999,
      1.4348347688198138,
      1.4266498686284381,
      1.4189351328080646,
      1.4116326644058683,
      1.404694001917662,
      1.3980782089982429,
      1.3917499322745297,
      1.3856787118902485,
      1.379838207071309,
      1.374205591887184,
      1.368761063798097,
      1.3634874388031348,
      1.35836985543267,
      1.3533953914356178,
      1.3485527809791886,
      1.3438322436827712,
      1.3392252050325917,
      1.3347241105815952,
      1.3303222870563094,
      1.3260138234586878,
      1.3217934684405237,
      1.3176565419037247,
      1.313598859490882,
      1.3096166665450064,
      1.3057065822366776,
      1.3018655506924455,
      1.2980907992138508,
      1.294379802507499,
      1.2907302511359724,
      1.287140024942975,
      1.2836071702233673,
      1.2801298795123834,
      1.276706474190472,
      1.2733353898980548,
      1.270015163636709,
      1.2667444219924178,
      1.2635218722071087,
      1.2603462934500256,
      1.2572165295587558,
      1.2541314826875742,
      1.2510901077601269,
      1.2480914073177756,
      1.2451344277290262,
      1.242218255284365,
      1.2393420128367958,
      1.236504856988075,
      1.2337059757687892,
      1.2309445862537953,
      1.2282199322648537,
      1.2255312828215963,
      1.2228779308327056,
      1.2202591912648417,
      1.2176744000607296,
      1.2151229131458912,
      1.2126041050156908,
      1.2101173679709896,
      1.2076621112909547,
      1.2052377603942597,
      1.2028437562944307,
      1.2004795544340294,
      1.1981446247292713,
      1.1958384501804917,
      1.1935605271518237,
      1.1913103644208956,
      1.1890874829831661,
      1.186891415339453,
      1.1847217850438863,
      1.182578330165208,
      1.1804607803231564,
      1.1783688460293265,
      1.1763022226794873,
      1.1742605941501056,
      1.1722436356481554,
      1.170251016734138,
      1.168282403200377,
      1.1663374588248983,
      1.1644158469020855,
      1.162517231196705,
      1.160641276780817,
      1.158787651314998,
      1.156956025707751,
      1.1551460740019446,
      1.1533574741672996,
      1.1515899082745764,
      1.149843063323591,
      1.1481166289120215,
      1.146410291130106,
      1.144723739867823,
      1.1430566720960704,
      1.141408791586438,
      1.1397798083249704,
      1.1381694388405055,
      1.1365774056168807,
      1.1350034369112498,
      1.1334472664190423,
      1.1319086332939963,
      1.1303872818115237,
      1.128882961438004,
      1.127395426899818,
      1.1259244373368085,
      1.1244697563699884,
      1.1230311524232364,
      1.1216083981799987,
      1.120201270599225,
      1.118809569497084,
      1.117433134894494,
      1.1160718081558287,
      1.1147254247205747,
      1.1133938157704222,
      1.1120768095271767,
      1.1107742320818836,
      1.1094859074514871,
      1.1082116588469695,
      1.106951309578719,
      1.105704683701833,
      1.1044716060980362,
      1.1032519032658534,
      1.1020454029383566,
      1.1008519348682169,
      1.0996713306956043,
      1.0985034238653841,
      1.0973480501535273,
      1.0962050471754405,
      1.0950742552668125,
      1.0939555167876367,
      1.0928486763417395,
      1.0917535807924421,
      1.0906700793800344,
      1.089598023534401,
      1.0885372668913922,
      1.087487665309296,
      1.0864490769875392,
      1.0854213624335591,
      1.0844043839724302,
      1.0833980064268742,
      1.0824020964754921,
      1.0814165227746095,
      1.080441156233055,
      1.0794758697797155,
      1.0785205383349592,
      1.0775750386304053,
      1.0766392492330124,
      1.0757130507221602,
      1.074796325664491,
      1.073888958335445,
      1.072990834390655,
      1.0721018415041788,
      1.0712218691428927,
      1.0703508085968862,
      1.069488552450984,
      1.068634995073995,
      1.0677900323462592,
      1.0669535615913492,
      1.066125481813643,
      1.065305693733774,
      1.0644940991638447,
      1.063690601247673,
      1.0628951050581394,
      1.0621075170767644,
      1.0613277445218554,
      1.0605556964061174,
      1.0597912828151355,
      1.059034415153144,
      1.0582850062881133,
      1.0575429702397912,
      1.0568082223266706,
      1.0560806790085726,
      1.0553602579844317,
      1.0546468780367382,
      1.0539404590801214,
      1.0532409221090082,
      1.0525481893496824,
      1.0518621840572693,
      1.0511828304149846,
      1.0505100537398475,
      1.049843780281702,
      1.0491839375830387,
      1.0485304538731204,
      1.04788325858214,
      1.0472422819913043,
      1.0466074553925682,
      1.0459787107912324,
      1.0453559812705462,
      1.0447392006958056,
      1.0441283040805156,
      1.043523227139939,
      1.042923906252138,
      1.042330278927967,
      1.041742283519513,
      1.0411598588275086,
      1.0405829448789552,
      1.0400114822307682,
      1.039445412189858,
      1.0388846769316271,
      1.0383292193147764,
      1.0377789828488877,
      1.0372339120188383,
      1.0366939519491032,
      1.0361590483738614,
      1.0356291476075443,
      1.0351041967705514,
      1.0345841436594285,
      1.0340689368213807,
      1.0335585254772979,
      1.0330528593432005,
      1.0325518888089356,
      1.0320555646592415,
      1.0315638383546912,
      1.031076662110233,
      1.0305939887199786,
      1.0301157717390135,
      1.029641965055608,
      1.0291725230232593,
      1.0287074005422485,
      1.0282465533961997,
      1.027789937674147,
      1.0273375099559443,
      1.0268892273964427,
      1.026445047759503,
      1.0260049294020352,
      1.0255688310550342,
      1.025136711859663,
      1.0247085316578721,
      1.0242842505718768,
      1.0238638290926778,
      1.0234472283721794,
      1.0230344099568904,
      1.0226253359291595,
      1.0222199685398552,
      1.0218182706556769,
      1.0214202058000061,
      1.0210257377877292,
      1.0206348308692783,
      1.020247449519104,
      1.019863558631135,
      1.0194831237148523,
      1.0191061107360109,
      1.0187324857549227,
      1.0183622154801732,
      1.017995266652958,
      1.0176316067035434,
      1.0172712032385676,
      1.0169140244440793,
      1.0165600386755915,
      1.0162092146078328,
      1.0158615215884752,
      1.0155169290771415,
      1.0151754068985852,
      1.0148369251907272,
      1.0145014544554083,
      1.0141689655073238,
      1.0138394295766093,
      1.0135128179537023,
      1.0131891026009954,
      1.0128682555953794,
      1.0125502492833156,
      1.0122350565377756,
      1.0119226502529597,
      1.0116130037548654,
      1.0113060905507998,
      1.0110018846898725,
      1.0107003602594935,
      1.0104014915940043,
      1.010105253432632,
      1.0098116209766617,
      1.009520569438298,
      1.0092320743528698,
      1.0089461113824483,
      1.0086626566795098,
      1.0083816865389097,
      1.0081031776608458,
      1.0078271068036881,
      1.0075534507421788,
      1.0072821867850517,
      1.007013292632519,
      1.0067467458271024,
      1.0064825243743671,
      1.006220606804782,
      1.005960971727539,
      1.005703597741104,
      1.005448463648368,
      1.0051955485705266,
      1.0049448319598786,
      1.004696293358548,
      1.004449912564517,
      1.004205669441784,
      1.003963544239458,
      1.0037235174536199,
      1.0034855697404557,
      1.0032496817277798,
      1.0030158346405256,
      1.0027840096045417,
      1.0025541878660544,
      1.0023263510108806,
      1.0021004809302687,
      1.0018765595836152,
      1.0016545689138099,
      1.001434491423936,
      1.0012163097884421,
      1.001000006566197,
      1.0007855644729244,
      1.000572966705026,
      1.0003621963479932,
      1.0001532367007302,
      0.9999460712949008,
      0.999740683965489,
      0.9995370585657879,
      0.9993351789877244,
      0.999135029385533,
      0.9989365941456179,
      0.998739857806116,
      0.9985448049253727,
      0.9983514203579934,
      0.9981596891240326,
      0.9979695962785765,
      0.9977811270358539,
      0.997594266791481,
      0.9974090012473316,
      0.9972253160277286,
      0.9970431968554234,
      0.9968626296257725,
      0.9966836005321218,
      0.996506095835657,
      0.9963301018387655,
      0.9961556052148663,
      0.9959825924227438,
      0.9958110503417871,
      0.9956409655849949,
      0.9954723252362916,
      0.9953051163672244,
      0.9951393263171766,
      0.9949749425160948,
      0.9948119525106854,
      0.9946503441437552,
      0.9944901049198185,
      0.9943312225912381,
      0.9941736852358073,
      0.9940174810807796,
      0.9938625982764301,
      0.9937090251268474,
      0.9935567500162091,
      0.9934057614877481,
      0.9932560483736188,
      0.9931075994167626,
      0.9929604034013232,
      0.9928144492831217,
      0.992669726218737,
      0.9925262233912294,
      0.9923839299889365,
      0.9922428353873045,
      0.9921029292296514,
      0.991964201152133,
      0.9918266408140993,
      0.991690237775789,
      0.9915549820370838,
      0.9914208635086957,
      0.9912878723483244,
      0.9911559986356446,
      0.9910252328105554,
      0.9908955650432012,
      0.9907669858250903,
      0.9906394857464718,
      0.9905130552229524,
      0.9903876849851687,
      0.9902633658565775,
      0.9901400887859146,
      0.990017844727228,
      0.9898966246217578,
      0.9897764195320875,
      0.9896572205734824,
      0.989539019150155,
      0.9894218066835939,
      0.9893055745952568,
      0.9891903143910195,
      0.9890760176946938,
      0.9889626762312621,
      0.9888502817082899,
      0.9887388259008494,
      0.9886283006348229,
      0.988518698126426,
      0.988410010457549,
      0.9883022297125238,
      0.988195347961841,
      0.9880893575513132,
      0.9879842507303247,
      0.9878800198904536,
      0.9877766575499409,
      0.98767415608391,
      0.9875725082176923,
      0.9874717067575144,
      0.9873717443722964,
      0.9872726137312756,
      0.9871743077943866,
      0.9870768194413689,
      0.986980141711918,
      0.986884267791174,
      0.9867891908431705,
      0.9866949040477361,
      0.9866014004846537,
      0.9865086734756189,
      0.9864167165704288,
      0.986325523330285,
      0.9862350870092239,
      0.9861454010999477,
      0.9860564593202005,
      0.9859682553455905,
      0.9858807828982552,
      0.9857940356829978
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183581106042887,
      10.995608236596718,
      10.797941334174396,
      10.59207456016432,
      10.379462614552297,
      10.161641268869763,
      9.940224415767206,
      9.71667725181702,
      9.49236288445243,
      9.268588533879623,
      9.046574697301962,
      8.827401287522294,
      8.611979765257177,
      8.40103537543692,
      8.195095993386175,
      7.994492295717538,
      7.799368011149487,
      7.609697977555402,
      7.425311447956764,
      7.245918194951408,
      7.071135352353653,
      6.900513441888567,
      6.733560559972578,
      6.5697641625302685,
      6.408609823799692,
      6.249592402590871,
      6.092230819747891,
      5.9360844093061615,
      5.780763535462066,
      5.625936057113819,
      5.471326937596612,
      5.316720325829083,
      5.161966963537814,
      5.007002806501776,
      4.851849535469757,
      4.6966147129190166,
      4.541489320887462,
      4.386721257811561,
      4.23260046379029,
      4.079481593702465,
      3.92777851192697,
      3.7779582688563336,
      3.63053286415715,
      3.4860340367189178,
      3.3449830131536316,
      3.2078791493842957,
      3.0751879262287747,
      2.9473325770057244,
      2.824686347309763,
      2.7075663560268843,
      2.5962301001012604,
      2.4908744258806355,
      2.391635170957795,
      2.298587415144554,
      2.211747105369141,
      2.131085305799768,
      2.0565416857372285,
      1.9880249558088916,
      1.9254143125943648,
      1.8685617090420532,
      1.8172753575512837,
      1.7713289516518556,
      1.7304741355678332,
      1.6943707686044853,
      1.6625702812237708,
      1.634566195432584,
      1.6098112053554237,
      1.5877589977298616,
      1.5679783594511687,
      1.550145597356627,
      1.5340019180855164,
      1.5193310754222167,
      1.5059358508703438,
      1.4936412179528806,
      1.4822975939516054,
      1.4717773839973247,
      1.461971759588769,
      1.4527881484673582,
      1.4441477202802726,
      1.4359830993078497,
      1.4282366731105631,
      1.4208591485587858,
      1.4138087460096946,
      1.4070504385793592,
      1.4005540757431438,
      1.3942935192177328,
      1.3882461600460838,
      1.3823924731826196,
      1.3767154827043782,
      1.3712003905855639,
      1.3658342737305469,
      1.3606058805462935,
      1.355505407842519,
      1.350524232005625,
      1.3456547523139477,
      1.3408903038394089,
      1.3362249941518425,
      1.3316535640063372,
      1.3271713038204513,
      1.322773981430674,
      1.318457779700405,
      1.314219243058784,
      1.3100552315915155,
      1.3059628810502857,
      1.301939568724758,
      1.2979828833399853,
      1.294090599788327,
      1.2902606574194952,
      1.2864911403594237,
      1.2827802610236172,
      1.2791263464148133,
      1.2755278253214997,
      1.2719832174822856,
      1.2684911242567205,
      1.265050220699512,
      1.261659248426826,
      1.2583170089683926,
      1.2550223589783749,
      1.251774205066484,
      1.2485714999277366,
      1.245413238347156,
      1.242298454197886,
      1.239226217619579,
      1.2361956321741714,
      1.2332058327420088,
      1.230255983650538,
      1.227345276730692,
      1.224473052096127,
      1.221638775881221,
      1.2188419007824927,
      1.2160818678651324,
      1.2133581109043232,
      1.2106700598624545,
      1.2080171434570632,
      1.205398791484849,
      1.202814436956685,
      1.200263517437152,
      1.197745476252489,
      1.1952597637230276,
      1.192805837556948,
      1.1903831639851867,
      1.1879912178081038,
      1.1856294828305103,
      1.1832974520253845,
      1.1809946280382575,
      1.1787205228127118,
      1.176474657863955,
      1.1742565641333762,
      1.1720657820353304,
      1.1699018614934793,
      1.1677643614084148,
      1.1656528498280883,
      1.1635669038557148,
      1.1615061094994958,
      1.1594700611589668,
      1.157458361664114,
      1.1554706223592526,
      1.1535064624183202,
      1.1515655088665548,
      1.149647396648184,
      1.147751767977492,
      1.1458782713289044,
      1.1440265625579942,
      1.1421962983885825,
      1.1403871360916875,
      1.1385987417489707,
      1.1368307901219519,
      1.135082964064181,
      1.1333549542895496,
      1.1316464586321415,
      1.129957181915911,
      1.1282868358242728,
      1.1266351383115902,
      1.12500181331939,
      1.1233865905427087,
      1.1217892243719794,
      1.1202095181135072,
      1.1186472779706784,
      1.1171023038089272,
      1.115574391243773,
      1.1140633330519156,
      1.112568920061141,
      1.1110909420288793,
      1.1096291888164735,
      1.1081834503858696,
      1.1067535178064538,
      1.1053391836462465,
      1.1039402419003903,
      1.1025564888820945,
      1.101187722991199,
      1.0998337451413818,
      1.098494358778389,
      1.0971693696925533,
      1.0958585865928485,
      1.0945618208149988,
      1.0932788867406638,
      1.0920096014025704,
      1.0907537846482844,
      1.089511258947671,
      1.08828184981022,
      1.0870653855413668,
      1.0858616972535595,
      1.084670618673662,
      1.0834919862050871,
      1.082325638684935,
      1.0811714178023473,
      1.0800291680602112,
      1.0788987360251363,
      1.0777799706458673,
      1.0766727234702198,
      1.0755768488626807,
      1.0744922031046322,
      1.0734186449186776,
      1.0723560352816461,
      1.0713042373912889,
      1.0702631164805854,
      1.069232539938092,
      1.0682123772256247,
      1.067202500051147,
      1.0662027821353592,
      1.065213099081409,
      1.06423332829596,
      1.0632633492159254,
      1.062303043231292,
      1.0613522932525288,
      1.060410984296146,
      1.0594790030540673,
      1.0585562377688746,
      1.0576425787202743,
      1.0567379175934866,
      1.0558421477134297,
      1.054955164025174,
      1.054076863177076,
      1.0532071429434757,
      1.0523459029707738,
      1.0514930442526673,
      1.050648469369523,
      1.0498120822200514,
      1.0489837883130984,
      1.048163494145225,
      1.0473511077993114,
      1.0465465386797201,
      1.045749697502607,
      1.0449604961344725,
      1.0441788477366836,
      1.0434046667583037,
      1.0426378688282985,
      1.0418783707500836,
      1.0411260905476565,
      1.0403809474113237,
      1.0396428615934041,
      1.0389117544570892,
      1.0381875485260939,
      1.037470167281214,
      1.0367595351606695,
      1.0360555779684804,
      1.0353582222665263,
      1.034667395682907,
      1.0339830266106946,
      1.0333050446190892,
      1.0326333803064829,
      1.031967965001814,
      1.0313087310767115,
      1.0306556119535681,
      1.0300085417076172,
      1.0293674553309793,
      1.0287322886409243,
      1.0281029784436595,
      1.0274794622920995,
      1.0268616786002256,
      1.0262495664533084,
      1.0256430656728166,
      1.0250421169327035,
      1.0244466617751988,
      1.023856642525537,
      1.0232720021059436,
      1.0226926841550201,
      1.0221186333007857,
      1.0215497945699406,
      1.0209861136621101,
      1.0204275371738134,
      1.0198740121113752,
      1.0193254864726695,
      1.0187819086595318,
      1.0182432277047773,
      1.017709393448948,
      1.0171803563108925,
      1.016656067211766,
      1.0161364776012225,
      1.0156215395348434,
      1.0151112057522955,
      1.014605429705403,
      1.0141041653838245,
      1.0136073674974353,
      1.0131149908962453,
      1.012626990906193,
      1.0121433236650872,
      1.0116639459514172,
      1.0111888149120387,
      1.0107178880951366,
      1.0102511238402703,
      1.0097884804989339,
      1.0093299172829486,
      1.0088753939949884,
      1.0084248705564118,
      1.0079783075524078,
      1.007535665963929,
      1.007096907256438,
      1.0066619934183787,
      1.0062308865932448,
      1.0058035498817595,
      1.0053799464666764,
      1.0049600399079903,
      1.004543794132806,
      1.0041311736803367,
      1.0037221434896513,
      1.0033166687392574,
      1.0029147151444222,
      1.0025162487973711,
      1.0021212359574383,
      1.0017296435023066,
      1.001341438617189,
      1.0009565888407255,
      1.00057506226364,
      1.0001968271179331,
      0.9998218520276325,
      0.9994501060561762,
      0.9990815585006335,
      0.9987161790417942,
      0.9983539376407726,
      0.9979948045374475,
      0.9976387504022048,
      0.9972857463354069,
      0.9969357635623987,
      0.9965887735864669,
      0.9962447484438787,
      0.9959036604511166,
      0.9955654820033462,
      0.995230185932453,
      0.9948977454079558,
      0.9945681339909407,
      0.9942413252817746,
      0.9939172931782101,
      0.9935960118285656,
      0.9932774557379191,
      0.9929615997732539,
      0.9926484190162989,
      0.9923378888713434,
      0.9920299849189284,
      0.9917246830752252,
      0.9914219592938031,
      0.9911217898270975,
      0.9908241512341995,
      0.9905290202869796,
      0.99023637418198,
      0.989946190295219,
      0.9896584462424166,
      0.9893731197869435,
      0.989090188849751,
      0.9888096317738727,
      0.988531426979145,
      0.988255553278268,
      0.9879819894815675,
      0.9877107146627319,
      0.9874417082725007,
      0.9871749498968541,
      0.9869104193207014,
      0.9866480962865635,
      0.9863879610161642,
      0.9861299939698458,
      0.9858741756572644,
      0.9856204868550623,
      0.9853689083669206,
      0.9851194214454823,
      0.9848720075023463,
      0.9846266481237711,
      0.9843833250357621,
      0.9841420202220224,
      0.9839027156861578,
      0.9836653935192251,
      0.9834300361196822,
      0.9831966262107391,
      0.9829651466547875,
      0.9827355802678484,
      0.9825079100917671,
      0.9822821194125821,
      0.9820581918301823,
      0.9818361108703558,
      0.9816158603601809,
      0.9813974241933614,
      0.9811807865023994,
      0.9809659314243081,
      0.9807528434262915,
      0.9805415069699288,
      0.9803319067354269,
      0.9801240276428351,
      0.9799178547207906,
      0.9797133729754858,
      0.9795105677176968,
      0.9793094243302637,
      0.979109928290408,
      0.9789120654973957,
      0.9787158217870247,
      0.9785211830054067,
      0.978328135388277,
      0.9781366652793785,
      0.9779467588491159,
      0.9777584025760814,
      0.9775715830676772,
      0.9773862872369729,
      0.9772025019715789,
      0.9770202141585965,
      0.9768394109127861,
      0.9766600796020193,
      0.9764822074148939,
      0.9763057819968569,
      0.9761307908656743,
      0.9759572218444839,
      0.9757850627831333,
      0.9756143014828585,
      0.9754449259772471,
      0.975276924558998,
      0.9751102855021342,
      0.9749449970892672,
      0.974781047842343,
      0.9746184264487334,
      0.974457121636712,
      0.9742971221527044,
      0.9741384169928959,
      0.9739809951776067,
      0.9738248457799076,
      0.9736699579033581,
      0.9735163210161484,
      0.9733639245227222,
      0.9732127578950115,
      0.973062810752695,
      0.9729140728420049,
      0.9727665340658834,
      0.9726201842597533,
      0.9724750134253385,
      0.9723310117101495,
      0.9721881693364981,
      0.9720464763781242,
      0.9719059230450224,
      0.9717664998668226,
      0.9716281974190557,
      0.9714910062529696,
      0.9713549171305875,
      0.9712199208021309,
      0.9710860080378604,
      0.9709531697617049,
      0.970821397032597,
      0.9706906810261274,
      0.9705610130161967,
      0.9704323842553487,
      0.9703047861092986,
      0.970178209988244,
      0.9700526473291137,
      0.9699280895777658,
      0.9698045284257018,
      0.9696819556910473,
      0.9695603629962836,
      0.9694397422596154,
      0.969320085474812,
      0.969201384745337,
      0.9690836320644064,
      0.968966819654457,
      0.9688509395438818,
      0.968735984161093,
      0.9686219458096565,
      0.9685088170086892,
      0.9683965902226279,
      0.9682852579473972,
      0.9681748128471501,
      0.9680652477390981,
      0.9679565551713932,
      0.9678487278652766,
      0.9677417588017152,
      0.9676356409521928,
      0.9675303673147618,
      0.9674259309504675,
      0.9673223249176509,
      0.9672195424609499,
      0.9671175767934657,
      0.9670164210826261
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.18358973156612,
      10.995652237861417,
      10.798058420884665,
      10.592306247030738,
      10.379854921794518,
      10.162252134550004,
      9.941107830406834,
      9.717878508186699,
      9.493923606117633,
      9.270546689724485,
      9.04896427908028,
      8.830251963897277,
      8.615317366479715,
      8.404882316942315,
      8.199471878139695,
      7.9994146574884955,
      7.804853112333859,
      7.615761587211527,
      7.431969538077998,
      7.253187512578296,
      7.079033838200502,
      6.909060480607843,
      6.742777056278355,
      6.579672443138536,
      6.419233790887381,
      6.260958523705671,
      6.104366211231145,
      5.949015586360687,
      5.794515514808206,
      5.640532429236413,
      5.486790096771481,
      5.333072010784705,
      5.179224030888173,
      5.025174463452976,
      4.87093618010144,
      4.716606921989499,
      4.562367435143245,
      4.408461318977156,
      4.255172057652847,
      4.102842473613202,
      3.951875253809125,
      3.8027238232725185,
      3.6558872231882074,
      3.511891059567438,
      3.371255176677966,
      3.234477566009717,
      3.1020252317914165,
      2.9743234649925103,
      2.851749209201771,
      2.734624775483335,
      2.62321400890604,
      2.517720569727797,
      2.4182867989500205,
      2.324993809950528,
      2.2378649451350996,
      2.15688053838862,
      2.081988292015425,
      2.0131029383707837,
      1.9501089871173938,
      1.8928607612805541,
      1.8411662913626545,
      1.7948018445254115,
      1.7535221741328906,
      1.716989449588083,
      1.684756766124476,
      1.65631976997622,
      1.6311335932327877,
      1.6086522351318646,
      1.5884384329809935,
      1.570164428280178,
      1.553570315318746,
      1.5384425766283496,
      1.524588671860784,
      1.5118360209684274,
      1.5000362088768577,
      1.4890626351719056,
      1.4788072983977583,
      1.4691781083895827,
      1.4600967389553934,
      1.4514963480895993,
      1.4433197573257481,
      1.435518020316122,
      1.4280492024965143,
      1.4208773407606257,
      1.413971712122599,
      1.4073064632119303,
      1.4008593223931094,
      1.3946109034411716,
      1.3885443495870402,
      1.3826450786541298,
      1.3769003552959962,
      1.3712990036362855,
      1.3658311924643398,
      1.36048827917114,
      1.3552626974502031,
      1.350147741515692,
      1.3451374326816614,
      1.3402264220062476,
      1.3354099299793691,
      1.3306837032962244,
      1.326043896719723,
      1.3214870092991042,
      1.3170098416096652,
      1.3126094587559323,
      1.308283157866168,
      1.3040284407895437,
      1.2998429905203825,
      1.295724650128058,
      1.2916714045478161,
      1.287681365587526,
      1.283752758166683,
      1.2798839086519838,
      1.276073234729721,
      1.2723193063475615,
      1.2686209200920129,
      1.264976934757815,
      1.2613862345283535,
      1.2578477292651087,
      1.2543603547314535,
      1.2509230725518634,
      1.2475348696560085,
      1.2441947583301547,
      1.2409017755569647,
      1.237654982460454,
      1.2344534642148097,
      1.2312963291486554,
      1.2281827086237744,
      1.2251117561139762,
      1.222082646452602,
      1.2190945756572635,
      1.216146760266096,
      1.2132384367465452,
      1.2103688609277439,
      1.2075373073053595,
      1.2047430685761256,
      1.2019854550474995,
      1.1992637942290894,
      1.1965774300474206,
      1.1939257225498037,
      1.1913080465213968,
      1.188723791457295,
      1.1861723618226727,
      1.1836531763312195,
      1.1811656681246312,
      1.1787092840743052,
      1.1762834838668794,
      1.1738877398403753,
      1.171521536859418,
      1.1691843720271977,
      1.1668757538789307,
      1.1645952023793744,
      1.162342248402489,
      1.160116433253403,
      1.1579173085889478,
      1.1557444361268883,
      1.1535973872972194,
      1.15147574329364,
      1.1493790942030502,
      1.1473070391463887,
      1.145259185803095,
      1.1432351503373275,
      1.1412345569119005,
      1.1392570381129983,
      1.1373022313017649,
      1.1353697716491158,
      1.1334593018375525,
      1.1315704739239616,
      1.129702948862856,
      1.1278563962834833,
      1.1260304934532386,
      1.1242249537428017,
      1.1224395414615524,
      1.12067402159212,
      1.1189281530674193,
      1.1172016911307039,
      1.1154943886095516,
      1.1138059970229277,
      1.1121362672687465,
      1.1104849510627604,
      1.1088518012499475,
      1.1072365724130997,
      1.1056390209661515,
      1.1040589058514905,
      1.102495988774945,
      1.100950034283914,
      1.099420810299573,
      1.0979080878834537,
      1.096411641357518,
      1.0949312486253464,
      1.0934666908304747,
      1.0920177524708894,
      1.090584221410336,
      1.0891658891427236,
      1.0877625507509106,
      1.0863740046615318,
      1.0850000523994776,
      1.0836404991045347,
      1.0822951531325953,
      1.0809638257074552,
      1.0796463314879328,
      1.0783424883721737,
      1.0770521173532983,
      1.075775042171786,
      1.0745110897306704,
      1.073260089850424,
      1.0720218752272326,
      1.0707962813413434,
      1.0695831460603575,
      1.0683823101074523,
      1.067193617072294,
      1.066016913016216,
      1.0648520464848128,
      1.0636988683683377,
      1.0625572320169874,
      1.0614269931533904,
      1.0603080098365205,
      1.0592001426302073,
      1.0581032541108832,
      1.057017209088617,
      1.0559418744214202,
      1.0548771193899806,
      1.0538228150053193,
      1.0527788344869904,
      1.0517450529281211,
      1.050721347520972,
      1.049707597122057,
      1.0487036825809195,
      1.0477094866629149,
      1.0467248937693203,
      1.045749790065545,
      1.0447840635078682,
      1.0438276036678489,
      1.042880301811871,
      1.0419420510836874,
      1.0410127460262903,
      1.0400922825625165,
      1.0391805584850562,
      1.0382774729302326,
      1.0373829264121135,
      1.0364968210605663,
      1.0356190603520385,
      1.0347495491970273,
      1.0338881938758768,
      1.0330349021281222,
      1.0321895828867542,
      1.0313521463692898,
      1.030522504016854,
      1.0297005687395957,
      1.0288862546543924,
      1.0280794768233565,
      1.0272801515524463,
      1.0264881965383106,
      1.0257035304060873,
      1.0249260729595995,
      1.0241557451783783,
      1.0233924692664447,
      1.0226361683968697,
      1.0218867666097349,
      1.0211441890158464,
      1.0204083620009883,
      1.0196792127706125,
      1.018956669454419,
      1.018240661160606,
      1.0175311180313074,
      1.0168279708915933,
      1.0161311518657972,
      1.015440593773942,
      1.0147562304448938,
      1.0140779964704436,
      1.0134058271126096,
      1.0127396589748037,
      1.0120794292498734,
      1.011425075884565,
      1.0107765377441942,
      1.0101337543208584,
      1.0094966656960367,
      1.0088652130126459,
      1.008239338083196,
      1.0076189835077975,
      1.0070040925380097,
      1.00639460924701,
      1.0057904784458997,
      1.0051916455502472,
      1.0045980565996826,
      1.004009658277998,
      1.0034263981373586,
      1.002848224111552,
      1.0022750848431365,
      1.0017069300116237,
      1.0011437095437548,
      1.0005853740448412,
      1.0000318746710055,
      0.9994831631040617,
      0.99893919173019,
      0.9983999134123853,
      0.997865281721675,
      0.9973352509652349,
      0.9968097758597453,
      0.9962888113574523,
      0.9957723129812467,
      0.9952602369566036,
      0.994752540141236,
      0.9942491799046074,
      0.9937501138554831,
      0.993255300281725,
      0.9927646979805415,
      0.9922782662929787,
      0.9917959647828773,
      0.9913177536281664,
      0.9908435935551747,
      0.9903734457226947,
      0.9899072716067221,
      0.98944503313989,
      0.9889866928003297,
      0.9885322133963197,
      0.9880815580546284,
      0.9876346903618719,
      0.9871915746590816,
      0.9867521755235249,
      0.9863164577595005,
      0.9858843865417987,
      0.9854559276614108,
      0.985031047161702,
      0.9846097115854018,
      0.9841918876626641,
      0.9837775426097441,
      0.9833666439705004,
      0.98295915950925,
      0.9825550575615035,
      0.9821543068263832,
      0.9817568763117178,
      0.9813627352289813,
      0.9809718531426749,
      0.9805842001711914,
      0.9801997464760658,
      0.9798184627688385,
      0.9794403200048889,
      0.979065289280759,
      0.9786933421897602,
      0.9783244506694274,
      0.9779585869513925,
      0.977595723511643,
      0.9772358330209313,
      0.9768788886008695,
      0.9765248636737738,
      0.9761737316091217,
      0.9758254662349987,
      0.9754800416377938,
      0.9751374323186426,
      0.9747976128923729,
      0.9744605583973412,
      0.974126244046167,
      0.9737946454346313,
      0.973465738191514,
      0.9731394982390096,
      0.9728159017990372,
      0.9724949254510695,
      0.972176546037851,
      0.9718607403680326,
      0.9715474854781958,
      0.9712367589970646,
      0.9709285386968235,
      0.9706228023497538,
      0.9703195281443939,
      0.9700186943903185,
      0.9697202794772207,
      0.9694242623429817,
      0.9691306220268628,
      0.9688393377317676,
      0.968550388784816,
      0.9682637546997669,
      0.9679794154434259,
      0.9676973509904122,
      0.9674175415902965,
      0.9671399675772923,
      0.9668646094342309,
      0.9665914480605278,
      0.9663204644810333,
      0.9660516399114645,
      0.9657849531789877,
      0.9655203741676017,
      0.9652578723552401,
      0.964997419803116,
      0.9647389903352203,
      0.9644825595867991,
      0.9642281046499096,
      0.9639756036708998,
      0.9637250361116414,
      0.9634763821996147,
      0.963229623244583,
      0.9629847410416735,
      0.9627417177332522,
      0.9625005361805755,
      0.9622611798279951,
      0.9620236323646003,
      0.9617878780483275,
      0.9615539013184459,
      0.9613216868666463,
      0.9610912196065423,
      0.9608624850509021,
      0.9606354686722711,
      0.9604101561287147,
      0.9601865333879049,
      0.9599645864449502,
      0.9597443015997169,
      0.959525665226037,
      0.9593086637955865,
      0.9590932841052645,
      0.9588795128437583,
      0.9586673371246985,
      0.958456744155567,
      0.9582477210085762,
      0.9580402551035861,
      0.957834334030388,
      0.9576299452691013,
      0.957427076674009,
      0.957225716092914,
      0.9570258513936339,
      0.9568274706428541,
      0.9566305620821556,
      0.9564351140024416,
      0.9562411149239348,
      0.9560485531657064,
      0.9558574174326909,
      0.9556676964873371,
      0.9554793791269373,
      0.9552924541099258,
      0.9551069104890577,
      0.9549227373855657,
      0.954739924068911,
      0.9545584598329524,
      0.9543783340758559,
      0.954199536380256,
      0.9540220561864976,
      0.9538458830764139,
      0.9536710068535192,
      0.953497417420436,
      0.9533251047580499,
      0.9531540587523694,
      0.9529842696314835,
      0.952815727436628,
      0.952648422561425,
      0.9524823452739315,
      0.9523174860019129,
      0.9521538353129022,
      0.9519913838439013,
      0.9518301223837172,
      0.9516700415484778,
      0.9515111322202385,
      0.9513533852733338,
      0.9511967917591843,
      0.9510413428365747,
      0.9508870297025023,
      0.9507338434719775,
      0.9505817755155359,
      0.9504308172378134,
      0.9502809601613371,
      0.9501321957561167,
      0.9499845155234596,
      0.9498379112326298,
      0.9496923747000273,
      0.9495478976702514,
      0.9494044719004427,
      0.9492620892956363,
      0.9491207420952397,
      0.9489804221442586,
      0.9488411215886409,
      0.9487028327566868,
      0.9485655479394565,
      0.9484292594252751,
      0.9482939596870777,
      0.9481596411120009,
      0.9480262962904973,
      0.9478939177463265,
      0.9477624981240956,
      0.9476320301228099,
      0.9475025066330063,
      0.9473739204672672,
      0.9472462643957117,
      0.9471195314359633,
      0.9469937145839327,
      0.9468688069513551,
      0.9467448017511798,
      0.9466216922322611,
      0.9464994713087238
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183593699521825,
      10.995680890160923,
      10.798143260693944,
      10.592483112908015,
      10.380164666797432,
      10.162747689782107,
      9.941838821790286,
      9.718886843990306,
      9.495248060885382,
      9.272222885498143,
      9.05102430610357,
      8.83272397245324,
      8.61822592241447,
      8.408248737808988,
      8.203314741452877,
      8.003750451560052,
      7.809696953328418,
      7.621127931016508,
      7.437872828885424,
      7.259642725869686,
      7.086056891836411,
      6.916668498354017,
      6.750988475177149,
      6.588506963739146,
      6.428712172255153,
      6.271104003561504,
      6.115203119166242,
      5.960567826024445,
      5.806805789412411,
      5.653582380209175,
      5.500620272295832,
      5.34770145106348,
      5.194669405299027,
      5.041445687216338,
      4.8880354458432205,
      4.7345277739067315,
      4.581094032457415,
      4.427974232047428,
      4.275446880243795,
      4.123844432852313,
      3.97355937560014,
      3.8250336246321273,
      3.6787542038533316,
      3.5352386185884512,
      3.3950054330802617,
      3.2585516061809994,
      3.126344991135067,
      2.998813287348644,
      2.8763362297520993,
      2.7592403028734673,
      2.647794590289338,
      2.542207665047812,
      2.4426272237956472,
      2.3491395518895675,
      2.261775143763064,
      2.1805226487365554,
      2.10533665574714,
      2.0361373065806827,
      1.9728139113351681,
      1.9152225569907575,
      1.8631705300286405,
      1.8164364203190764,
      1.7747776747220483,
      1.7378578957154458,
      1.7052317996977158,
      1.6763972066750923,
      1.6508115127143954,
      1.627929553505227,
      1.6073086993653556,
      1.5886180219579915,
      1.571596435122459,
      1.5560325867656513,
      1.5417387424487299,
      1.5285457337666257,
      1.5163064721442345,
      1.5048954852288379,
      1.4942057241644944,
      1.4841458336146967,
      1.4746379157829037,
      1.4656156647953908,
      1.4570223953625114,
      1.4488095569135628,
      1.4409355263337043,
      1.4333645788225429,
      1.4260660119973434,
      1.4190134005666226,
      1.4121839612762912,
      1.4055580131074485,
      1.3991185185475532,
      1.3928507363202738,
      1.3867420603402756,
      1.380781569197386,
      1.3749596344247512,
      1.3692677309588217,
      1.3636982872262529,
      1.3582445787744015,
      1.3529006739530844,
      1.3476612602386309,
      1.3425215426371933,
      1.3374772655803997,
      1.332524647521482,
      1.327660238249586,
      1.3228808991202148,
      1.3181837851130616,
      1.3135662643841166,
      1.309025884490117,
      1.304560351701111,
      1.3001675129772161,
      1.295845341323655,
      1.2915919221871779,
      1.287405442167288,
      1.2832841791799758,
      1.2792264938728055,
      1.2752308223443258,
      1.2712956696619506,
      1.2674196035699432,
      1.2636012500171363,
      1.2598392888284005,
      1.2561324500822055,
      1.2524795096194223,
      1.2488792858723599,
      1.2453306373539885,
      1.24183246121731,
      1.2383836908024313,
      1.2349832937498308,
      1.2316302700720103,
      1.2283236503373156,
      1.225062494324254,
      1.221845889893544,
      1.2186729512154273,
      1.2155428178284469,
      1.2124546536666698,
      1.2094076460572845,
      1.2064010042829192,
      1.2034339591339618,
      1.2005057620791058,
      1.1976156844117594,
      1.1947630164748646,
      1.191947067067363,
      1.1891671626264244,
      1.1864226469491765,
      1.1837128801331054,
      1.1810372382614374,
      1.17839511261364,
      1.1757859096738783,
      1.173209050056141,
      1.1706639686356037,
      1.1681501138529544,
      1.165666947463663,
      1.1632139434614581,
      1.1607905884648475,
      1.1583963809234001,
      1.1560308306695175,
      1.1536934589686352,
      1.15138379789967,
      1.149101390235194,
      1.1468457889572332,
      1.1446165569690412,
      1.1424132670537104,
      1.140235501164978,
      1.1380828504230494,
      1.1359549147486419,
      1.1338513027960317,
      1.1317716297954838,
      1.1297155095365774,
      1.1276825699852693,
      1.1256725039597735,
      1.1236850316332772,
      1.121719867241821,
      1.1197767212757783,
      1.1178553019887936,
      1.1159553167364007,
      1.1140764728922077,
      1.1122184789543252,
      1.1103810451315295,
      1.1085638840213798,
      1.1067667110763126,
      1.1049892449095489,
      1.1032312076965647,
      1.1014923251129345,
      1.0997723269284314,
      1.0980709470376004,
      1.0963879232325284,
      1.0947229975825705,
      1.093075916455081,
      1.0914464303817677,
      1.0898342939225285,
      1.0882392659342959,
      1.086661109431518,
      1.0850995916490294,
      1.0835544835440298,
      1.0820255602635214,
      1.0805126011023722,
      1.0790153887996499,
      1.077533710105632,
      1.076067355433153,
      1.074616119118703,
      1.0731797990227532,
      1.0717581963331413,
      1.0703511158769599,
      1.0689583654657224,
      1.0675797565632736,
      1.0662151040890977,
      1.0648642257645837,
      1.063526942425398,
      1.0622030782324605,
      1.0608924603240166,
      1.0595949186718192,
      1.0583102860392002,
      1.057038397888544,
      1.0557790924926835,
      1.0545322109449813,
      1.0532975969161285,
      1.0520750965638752,
      1.050864558850356,
      1.0496658348429497,
      1.0484787781343334,
      1.0473032447038886,
      1.0461390927797325,
      1.044986183057549,
      1.0438443784624385,
      1.0427135440137054,
      1.0415935466897634,
      1.0404842557515925,
      1.0393855424566165,
      1.0382972800279575,
      1.0372193438276038,
      1.0361516111239355,
      1.0350939608089558,
      1.0340462740316876,
      1.0330084335611838,
      1.0319803239133851,
      1.0309618314274798,
      1.0299528440891097,
      1.0289532516594253,
      1.0279629456527608,
      1.0269818190099818,
      1.0260097660264307,
      1.0250466827387152,
      1.0240924668541338,
      1.0231470177837432,
      1.0222102361163248,
      1.0212820239581581,
      1.0203622849172047,
      1.019450923986963,
      1.0185478472780802,
      1.017652962513799,
      1.01676617856016,
      1.0158874056689373,
      1.0150165553653543,
      1.0141535402857966,
      1.0132982745250034,
      1.01245067317048,
      1.0116106523971116,
      1.0107781298673844,
      1.0099530243192938,
      1.009135255613034,
      1.0083247446252326,
      1.0075214133482913,
      1.0067251845827563,
      1.00593598259724,
      1.0051537326195312,
      1.0043783605827659,
      1.0036097936862052,
      1.0028479600919038,
      1.0020927889278484,
      1.001344210037303,
      1.0006021544410462,
      0.999866554037291,
      0.9991373414043919,
      0.9984144502144513,
      0.9976978150883306,
      0.9969873711972931,
      0.9962830547297338,
      0.9955848026974559,
      0.9948925528447058,
      0.9942062439646555,
      0.9935258155048822,
      0.9928512075804636,
      0.9921823611400917,
      0.9915192176750636,
      0.9908617197429319,
      0.99020981037296,
      0.9895634335404285,
      0.9889225338787395,
      0.988287056544856,
      0.9876569475431918,
      0.9870321535922892,
      0.9864126218398881,
      0.9857983001888068,
      0.9851891371146014,
      0.9845850818911603,
      0.9839860843591561,
      0.9833920948985984,
      0.9828030644529367,
      0.9822189447571776,
      0.9816396881090234,
      0.9810652471408232,
      0.9804955750495143,
      0.9799306257760609,
      0.9793703536774778,
      0.9788147138095468,
      0.9782636615489652,
      0.9777171529283236,
      0.9771751446664106,
      0.9766375937924783,
      0.9761044578303514,
      0.9755756949832801,
      0.9750512636070559,
      0.9745311227520194,
      0.9740152318916145,
      0.9735035508040933,
      0.9729960401669456,
      0.9724926608806683,
      0.9719933742576881,
      0.9714981419573049,
      0.971006926073414,
      0.9705196893248801,
      0.9700363949413336,
      0.9695570063972886,
      0.9690814874515942,
      0.9686098022886397,
      0.9681419123544014,
      0.9676777641790184,
      0.9672173012827686,
      0.9667604716468879,
      0.966307226902012,
      0.9658575218294582,
      0.9654113138184761,
      0.9649685625832314,
      0.9645292297319094,
      0.9640932785433385,
      0.9636606737977793,
      0.963231381559924,
      0.9628053688115868,
      0.9623826039006522,
      0.9619630558731038,
      0.9615466944679214,
      0.9611334900622064,
      0.9607234138212087,
      0.9603164374936645,
      0.959912533004426,
      0.9595116730651996,
      0.959113830870663,
      0.958718979846479,
      0.9583270940082736,
      0.9579381476089817,
      0.9575521152448525,
      0.9571689716565409,
      0.9567886921409772,
      0.9564112522008281,
      0.9560366276016076,
      0.9556647943271185,
      0.9552957288406551,
      0.9549294077873384,
      0.9545658080529903,
      0.9542049065686499,
      0.9538466807258397,
      0.953491108131184,
      0.9531381666665623,
      0.952787834295265,
      0.9524400893772917,
      0.9520949102725625,
      0.9517522756567172,
      0.9514121645319658,
      0.9510745560858294,
      0.9507394294995156,
      0.9504067644174076,
      0.9500765406541599,
      0.949748738105747,
      0.949423336864088,
      0.94910031717901,
      0.9487796596243555,
      0.9484613449082655,
      0.9481453538364247,
      0.9478316676823163,
      0.9475202681513003,
      0.9472111390756789,
      0.9469042650614798,
      0.9465996302392061,
      0.9462972185901626,
      0.9459970138653487,
      0.945698999707346,
      0.9454031595681999,
      0.9451094768812315,
      0.9448179351309711,
      0.9445285176176225,
      0.9442412078826962,
      0.9439559895242629,
      0.9436728462160714,
      0.9433917615737988,
      0.9431127194791202,
      0.9428357038446752,
      0.9425606987350439,
      0.942287688182683,
      0.9420166564618456,
      0.9417475879045739,
      0.9414804670225829,
      0.9412152784255856,
      0.9409520067397832,
      0.9406906368825966,
      0.9404311538799559,
      0.9401735427855573,
      0.93991778880354,
      0.9396638774624078,
      0.9394117942808945,
      0.9391615247895594,
      0.9389130548071817,
      0.9386663703103438,
      0.9384214573034896,
      0.9381783018414508,
      0.9379368901540758,
      0.9376972085672087,
      0.9374592435768694,
      0.9372229819235992,
      0.9369884104130028,
      0.9367555158378699,
      0.9365242851039757,
      0.9362947054069892,
      0.9360667640026747,
      0.9358404481299539,
      0.9356157451376115,
      0.9353926426617016,
      0.9351711282440235,
      0.9349511896119153,
      0.9347328145511548,
      0.9345159911351836,
      0.9343007073443647,
      0.9340869514483306,
      0.9338747115745071,
      0.9336639763960067,
      0.9334547343450159,
      0.9332469738940066,
      0.933040683684521,
      0.9328358526052887,
      0.9326324694637604,
      0.9324305234208776,
      0.932230003510407,
      0.932030898819779,
      0.9318331985179891,
      0.9316368920874213,
      0.931441968996512,
      0.9312484185759954,
      0.9310562304034572,
      0.9308653942814816,
      0.9306759000126824,
      0.9304877375308888,
      0.9303008967781942,
      0.9301153677855237,
      0.9299311407025352,
      0.9297482057258755,
      0.9295665531801438,
      0.929386173395727,
      0.9292070569427668,
      0.9290291943565787,
      0.9288525763213328,
      0.928677193497432,
      0.9285030365017249,
      0.9283300962946108,
      0.9281583637536877,
      0.9279878298069082,
      0.9278184856167536,
      0.9276503223068925,
      0.9274833311977406,
      0.9273175035842895,
      0.9271528307175128,
      0.9269893040400307,
      0.9268269150657973,
      0.9266656555146877,
      0.92650551704031,
      0.9263464913646028,
      0.9261885702600461,
      0.9260317455319842,
      0.9258760090010164,
      0.9257213526377148,
      0.9255677687490302,
      0.925415249351124,
      0.9252637865080557,
      0.9251133727218726,
      0.9249640002038767,
      0.9248156612140482,
      0.924668348247599,
      0.9245220537134615,
      0.9243767701722186,
      0.9242324903198449
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183593587274412,
      10.995695394044155,
      10.798198080117107,
      10.592608925866317,
      10.380397681666627,
      10.163135934093143,
      9.94242704525842,
      9.719714142388263,
      9.496350898503948,
      9.273635031636275,
      9.052776406461943,
      8.83484308387607,
      8.620735740589819,
      8.41116985023785,
      8.206665047546167,
      8.007545730402478,
      7.81395150578196,
      7.62585523080365,
      7.443086129595874,
      7.265355581358205,
      7.092283563280573,
      6.923424231109428,
      6.758289636478983,
      6.596371038263032,
      6.437157617017563,
      6.2801512089766955,
      6.124874036356716,
      5.970884131395553,
      5.817788219656313,
      5.66525041423884,
      5.5129927526213,
      5.360796607642338,
      5.208503797012342,
      5.05602990033014,
      4.903373295621604,
      4.750615453097507,
      4.5979194174048015,
      4.445520250441506,
      4.2936937174996155,
      4.142764118352562,
      3.993114606578767,
      3.845177074681796,
      3.6994271772583565,
      3.5563744253407603,
      3.4165349657265294,
      3.2804056178482313,
      3.1484534913159568,
      3.021108270204183,
      2.8987528892468113,
      2.7817170618271194,
      2.6702729926812014,
      2.5646334439837575,
      2.46495070132166,
      2.3713153581429194,
      2.2837646740652673,
      2.2022947666836674,
      2.126866392159993,
      2.0574045263485314,
      1.9938026545482819,
      1.9359175251116518,
      1.8835557928148734,
      1.8364981839697838,
      1.7945042768386728,
      1.7572383855194253,
      1.7242564755677199,
      1.6950580422207715,
      1.6691029469821228,
      1.6458470325401222,
      1.6248432973764302,
      1.605758283917998,
      1.5883304255186306,
      1.5723499664747822,
      1.557633508374236,
      1.5440162056810123,
      1.5313526133944528,
      1.5195185339596342,
      1.5084079924993312,
      1.497930532447558,
      1.488008906032021,
      1.4785771982226674,
      1.469579231278704,
      1.4609669047718583,
      1.4526989511573973,
      1.4447399203316775,
      1.437059314785356,
      1.4296308547425731,
      1.4224318520399917,
      1.4154426781908394,
      1.4086463119968573,
      1.4020279550727557,
      1.3955747052998337,
      1.3892753105155877,
      1.3831200398423702,
      1.3771003645755437,
      1.371208731516133,
      1.3654384241274522,
      1.3597834446205315,
      1.3542384528100568,
      1.3487987058519884,
      1.3434599113527783,
      1.3382181557257387,
      1.3330698549890225,
      1.3280117128068698,
      1.3230406839507738,
      1.3181539443561885,
      1.3133488641181938,
      1.3086230172563065,
      1.303974162619667,
      1.299400184334419,
      1.2948990765574924,
      1.2904689330106116,
      1.2861079375353994,
      1.2818143570981526,
      1.2775865342473889,
      1.2734228811138812,
      1.269321874345836,
      1.2652820502715143,
      1.2613020006992777,
      1.257380369104325,
      1.2535158475103527,
      1.249707173306658,
      1.2459531265119896,
      1.2422525277424816,
      1.2386042358184957,
      1.2350071456744196,
      1.2314601867264034,
      1.2279623210899153,
      1.2245125421078893,
      1.2211098727843581,
      1.2177533645834024,
      1.2144420962906235,
      1.2111751727865658,
      1.2079517240896878,
      1.2047709043660355,
      1.201631890601688,
      1.1985338820584253,
      1.1954760995484282,
      1.192457784528765,
      1.1894781983229379,
      1.1865366215722626,
      1.1836323532062873,
      1.180764710153832,
      1.177933026575452,
      1.1751366533815257,
      1.1723749574769853,
      1.1696473215988452,
      1.1669531435262646,
      1.1642918356820267,
      1.1616628245660765,
      1.15906555063255,
      1.156499467492195,
      1.15396404166146,
      1.1514587522486148,
      1.1489830901705596,
      1.1465365582743359,
      1.1441186707868947,
      1.1417289530605994,
      1.1393669413097554,
      1.1370321819315332,
      1.1347242316323554,
      1.132442656885404,
      1.1301870455371528,
      1.1279570573488265,
      1.1257523724813887,
      1.123572651699356,
      1.1214175502957446,
      1.1192867232883281,
      1.1171798261208095,
      1.1150965164155962,
      1.1130364541867757,
      1.1109993027014207,
      1.1089847288723556,
      1.106992403742421,
      1.1050220029608309,
      1.1030732066920337,
      1.1011457000777038,
      1.0992391731331366,
      1.0973533211981656,
      1.095487844467884,
      1.0936424485363625,
      1.0918168438686477,
      1.0900107462868733,
      1.0882238765886518,
      1.0864559605190298,
      1.0847067289944017,
      1.082975917612388,
      1.081263267024346,
      1.0795685224929352,
      1.0778914339057644,
      1.0762317556859244,
      1.0745892467014992,
      1.07296367027572,
      1.071354793942006,
      1.0697623894018087,
      1.068186232583316,
      1.0666261034455085,
      1.0650817861381772,
      1.0635530682967622,
      1.0620397414051088,
      1.0605416005472936,
      1.0590584445663211,
      1.0575900759687213,
      1.0561363006769506,
      1.0546969278830776,
      1.053271770004552,
      1.051860642792674,
      1.0504633653393542,
      1.0490797596779422,
      1.0477096508414019,
      1.0463528667688917,
      1.0450092382120482,
      1.0436785988960309,
      1.0423607855796824,
      1.0410556376077853,
      1.0397629969217685,
      1.0384827081721089,
      1.0372146183740558,
      1.03595857702119,
      1.0347144361997014,
      1.0334820502456263,
      1.0322612760132182,
      1.0310519726351803,
      1.0298540013856698,
      1.0286672257979694,
      1.0274915115797534,
      1.0263267265286344,
      1.025172740550754,
      1.0240294255270346,
      1.022896655587388,
      1.0217743066740284,
      1.0206622564613501,
      1.0195603846322157,
      1.0184685727485165,
      1.0173867039699585,
      1.0163146635364646,
      1.015252338234175,
      1.0141996165236904,
      1.013156388719858,
      1.0121225464093315,
      1.01109798298812,
      1.0100825934875528,
      1.009076274503289,
      1.008078924328533,
      1.007090442579945,
      1.0061107302817351,
      1.005139689645318,
      1.004177224561608,
      1.0032232403315795,
      1.0022776434993843,
      1.001340341991546,
      1.000411245104302,
      0.9994902633394815,
      0.9985773084443139,
      0.9976722935032438,
      0.9967751327251771,
      0.9958857416387448,
      0.9950040368813836,
      0.9941299362945386,
      0.99326335876546,
      0.9924042240695021,
      0.9915524536286414,
      0.9907079694911588,
      0.9898706948378808,
      0.9890405539801388,
      0.988217472359134,
      0.987401376139112,
      0.9865921926149173,
      0.9857898501116974,
      0.984994277783952,
      0.9842054058221921,
      0.9834231651514368,
      0.9826474877921042,
      0.9818783066619802,
      0.9811155555316763,
      0.9803591689300761,
      0.9796090840341045,
      0.9788652438866754,
      0.978127592027554,
      0.9773960716023856,
      0.9766706257411479,
      0.9759511974779246,
      0.9752377298220232,
      0.9745301659299366,
      0.9738284494802187,
      0.9731325242344617,
      0.9724423342082757,
      0.9717578241471436,
      0.971078939189041,
      0.970405607587143,
      0.9697377420617808,
      0.9690752609617052,
      0.9684180884738159,
      0.9677661537268862,
      0.9671193898032985,
      0.9664777335221407,
      0.9658411247715977,
      0.9652095061019907,
      0.9645828224257111,
      0.9639610204161793,
      0.9633440487243505,
      0.962731857588406,
      0.9621243986497723,
      0.9615216248733202,
      0.9609234900630046,
      0.9603299490402127,
      0.9597409576711509,
      0.9591564726415649,
      0.9585764515381375,
      0.9580008524225083,
      0.9574296340672328,
      0.9568627560402397,
      0.9563001784852794,
      0.955741861852268,
      0.9551877674421416,
      0.9546378570369441,
      0.954092092734346,
      0.9535504371384729,
      0.9530128533479182,
      0.9524793049445283,
      0.9519497559827023,
      0.95142417072513,
      0.9509025141925188,
      0.9503847515952778,
      0.9498708485795334,
      0.949360771117324,
      0.9488544856006842,
      0.9483519589366817,
      0.9478531583374866,
      0.9473580514163815,
      0.9468666059280734,
      0.9463787900687621,
      0.9458945724205501,
      0.9454139218455866,
      0.9449368075839089,
      0.9444631993523437,
      0.9439930670364691,
      0.9435263807901778,
      0.9430631110844162,
      0.9426032288073919,
      0.9421467051617526,
      0.9416935115114459,
      0.9412436196867726,
      0.940797001730005,
      0.9403536300996989,
      0.939913477214024,
      0.9394765160622836,
      0.9390427199523396,
      0.9386120622079134,
      0.9381845166287006,
      0.9377600572391281,
      0.9373386582407133,
      0.9369202941174695,
      0.9365049397926265,
      0.9360925702770918,
      0.9356831607759791,
      0.9352766869988869,
      0.9348731247079571,
      0.9344724499271062,
      0.9340746389483924,
      0.9336796683386342,
      0.9332875148447317,
      0.9328981554519147,
      0.9325115672386834,
      0.9321277275881396,
      0.9317466141961404,
      0.9313682049783627,
      0.9309924779266671,
      0.930619411474483,
      0.9302489842523431,
      0.9298811748945088,
      0.9295159623035546,
      0.9291533256608528,
      0.9287932443868036,
      0.928435697795989,
      0.9280806656171722,
      0.9277281279032414,
      0.9273780648910602,
      0.9270304567088702,
      0.9266852837957353,
      0.9263425269144704,
      0.9260021668597821,
      0.9256641847770943,
      0.9253285618205072,
      0.92499527942126,
      0.9246643191495132,
      0.9243356628819706,
      0.9240092925117612,
      0.9236851901672193,
      0.9233633380241411,
      0.923043718524862,
      0.9227263142927761,
      0.9224111080469526,
      0.9220980826698408,
      0.9217872210711822,
      0.9214785066119938,
      0.9211719227153156,
      0.9208674529857809,
      0.9205650810751361,
      0.9202647908529804,
      0.9199665661708655,
      0.91967039118607,
      0.9193762501769985,
      0.9190841275625117,
      0.9187940078195334,
      0.918505875655194,
      0.918219715975945,
      0.9179355136532897,
      0.9176532538494744,
      0.9173729217836748,
      0.9170945029054739,
      0.916817982661616,
      0.9165433466699631,
      0.9162705805373811,
      0.9159996701863845,
      0.9157306017753988,
      0.9154633612633349,
      0.9151979349405235,
      0.9149343091968346,
      0.9146724704427893,
      0.9144124052850883,
      0.9141541004479373,
      0.9138975427965186,
      0.9136427193607461,
      0.9133896172573249,
      0.9131382236632051,
      0.9128885257379241,
      0.9126405109529826,
      0.9123941669640658,
      0.9121494812290027,
      0.9119064414904895,
      0.9116650356995368,
      0.9114252517866334,
      0.9111870776365031,
      0.910950501317044,
      0.9107155112067586,
      0.910482095766914,
      0.9102502433136698,
      0.910019942298731,
      0.9097911813357523,
      0.9095639490744782,
      0.909338234431177,
      0.9091140264632467,
      0.9088913142953992,
      0.9086700868420332,
      0.9084503331396858,
      0.9082320427308964,
      0.9080152049294751,
      0.9077998092556959,
      0.9075858452104186,
      0.9073733023034786,
      0.9071621702855425,
      0.906952439177141,
      0.9067440986875356,
      0.906537138701487,
      0.9063315493082393,
      0.9061273207802356,
      0.9059244431961538,
      0.9057229069280959,
      0.9055227024174393,
      0.9053238200523664,
      0.9051262505033364,
      0.9049299842957166,
      0.9047350120946241,
      0.9045413246846232,
      0.9043489128988933,
      0.904157767751856,
      0.9039678802162266,
      0.903779241254191,
      0.9035918419503463,
      0.9034056735940317,
      0.9032207274566874,
      0.903036994874609,
      0.9028544672809637,
      0.9026731362377702,
      0.9024929932649247,
      0.9023140298723571,
      0.902136237897625,
      0.9019596089282409,
      0.9017841348428736,
      0.9016098075391252,
      0.901436619017353,
      0.9012645611595548,
      0.9010936261184442,
      0.9009238060967003,
      0.9007550932789087
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.18358962995434,
      10.995696300675341,
      10.798223943266743,
      10.592686039038917,
      10.380558454880846,
      10.163424539518438,
      9.942885058666608,
      9.720378589743135,
      9.497256733416654,
      9.274814907924172,
      9.054260200362156,
      8.836657381173076,
      8.62290393772981,
      8.413712328880404,
      8.209599517162879,
      8.010887724416337,
      7.817714963910984,
      7.63005310505676,
      7.447730959781493,
      7.270460003068629,
      7.097860716706471,
      6.929488053391112,
      6.764855029883218,
      6.603453907715565,
      6.444774776519726,
      6.2883209857975935,
      6.133616728650413,
      5.980219895101835,
      5.8277364898382435,
      5.675829220172617,
      5.524219891544247,
      5.3726895137535795,
      5.221078996573424,
      5.069299014521824,
      4.917341917114488,
      4.765282350970807,
      4.613275872824372,
      4.461552063979309,
      4.3103861008772615,
      4.160095014947813,
      4.011053269619702,
      3.863684661776576,
      3.7184547453526937,
      3.5758638704086696,
      3.4364236817099245,
      3.3006311752615476,
      3.168953138820611,
      3.0418194476810827,
      2.9196147092253675,
      2.8026713500750375,
      2.6912651958685876,
      2.5856133275633404,
      2.485870861751062,
      2.3921328483223565,
      2.304442881275824,
      2.222804002002543,
      2.147182152606411,
      2.077506680853919,
      2.0136740414629197,
      1.9555396035997061,
      1.9029102433316318,
      1.8555696777983912,
      1.8132791465897355,
      1.7757029585450392,
      1.7423979360446435,
      1.7128646632298246,
      1.6865654731153141,
      1.662957466629966,
      1.6415899247947838,
      1.622127431124907,
      1.6043081737880323,
      1.587924110253637,
      1.5727955037520478,
      1.5587625506136282,
      1.5456825445605002,
      1.533432712528645,
      1.5219082750696622,
      1.5110197721206786,
      1.5006907800648268,
      1.4908559651840676,
      1.4814594710001157,
      1.4724536283866323,
      1.4637975666088765,
      1.4554561424850532,
      1.4473990888889978,
      1.439600290494459,
      1.4320371684264042,
      1.4246901570300734,
      1.4175422587778608,
      1.4105786660230408,
      1.4037864401085436,
      1.3971542388857912,
      1.3906721084200044,
      1.3843314004249656,
      1.3781245059259326,
      1.3720446350369069,
      1.3660857028718432,
      1.3602422322611647,
      1.3545092768683378,
      1.3488824131144372,
      1.3433576436033323,
      1.3379312918479938,
      1.3325999623812734,
      1.3273605064421743,
      1.3222099926893132,
      1.317145682187446,
      1.3121650067596815,
      1.3072655506107564,
      1.302445034312558,
      1.2977013009034721,
      1.293032339154512,
      1.2884362644914824,
      1.2839112707914657,
      1.2794556250007214,
      1.2750676619496137,
      1.2707457796255741,
      1.2664884351121959,
      1.2622941409453996,
      1.2581614619418784,
      1.254089012301315,
      1.25007545278293,
      1.246119488316476,
      1.242219865542614,
      1.2383753709480898,
      1.2345848287843189,
      1.230847099892866,
      1.2271610792530367,
      1.223525695052454,
      1.2199399070959718,
      1.21640270531863,
      1.212913108761255,
      1.2094701641463155,
      1.2060729452261887,
      1.2027205515328343,
      1.1994121071921984,
      1.1961467604661884,
      1.1929236824478735,
      1.189742066334866,
      1.1866011269275718,
      1.1835000992850182,
      1.180438238574353,
      1.1774148192337395,
      1.1744291342637918,
      1.1714804945469857,
      1.168568228654009,
      1.1656916815108032,
      1.162850214521045,
      1.1600432047544373,
      1.157270044575666,
      1.1545301411041027,
      1.1518229156072093,
      1.1491478030822855,
      1.146504252230993,
      1.143891724708884,
      1.1413096946675518,
      1.1387576483864807,
      1.1362350842495619,
      1.1337415184586708,
      1.1312765420276805,
      1.1288397881873855,
      1.1264308817761015,
      1.1240494421117189,
      1.1216950842024862,
      1.1193674110254224,
      1.1170660205145604,
      1.114790515215044,
      1.1125405028677902,
      1.1103155969314555,
      1.1081154166356666,
      1.1059395872790452,
      1.1037877407215602,
      1.1016595148521795,
      1.0995545540666691,
      1.0974725090773765,
      1.0954130371240927,
      1.093375801925974,
      1.0913604734759341,
      1.0893667278813952,
      1.0873942474047098,
      1.08544272034728,
      1.083511840828718,
      1.0816013089694079,
      1.0797108309184817,
      1.0778401177604937,
      1.0759888863008893,
      1.0741568588322212,
      1.0723437629496047,
      1.0705493314158354,
      1.0687733018718693,
      1.0670154171562707,
      1.06527542475904,
      1.0635530767319679,
      1.0618481297504325,
      1.0601603450723225,
      1.0584894884456382,
      1.0568353298122422,
      1.055197643315925,
      1.0535762072083397,
      1.0519708036016027,
      1.050381218729778,
      1.0488072425485533,
      1.047248668690437,
      1.0457052947257002,
      1.044176921660151,
      1.0426633538399517,
      1.041164399161163,
      1.0396798688728546,
      1.038209577431354,
      1.0367533424561162,
      1.0353109846350934,
      1.0338823277827787,
      1.0324671988480425,
      1.0310654276171367,
      1.0296768466207848,
      1.0283012913463474,
      1.0269386000438996,
      1.0255886134821062,
      1.0242511751111354,
      1.022926131124741,
      1.021613329963314,
      1.0203126226821093,
      1.0190238625572043,
      1.0177469053529913,
      1.016481609132928,
      1.015227835545701,
      1.0139854558979167,
      1.0127543455410482,
      1.0115343800952885,
      1.0103254354857163,
      1.0091273882808196,
      1.0079401161816461,
      1.0067634977467181,
      1.0055974128787142,
      1.0044417424457497,
      1.0032963690717938,
      1.0021611761978781,
      1.0010360489736867,
      0.9999208740811506,
      0.9988155394570377,
      0.9977199345745772,
      0.9966339505225202,
      0.9955574797285395,
      0.9944904160899979,
      0.993432655054506,
      0.9923840935482875,
      0.991344629905798,
      0.9903141635961461,
      0.9892925957127534,
      0.9882798288538517,
      0.9872757668513668,
      0.9862803149580113,
      0.9852933798320872,
      0.9843148692685967,
      0.9833446922872078,
      0.9823827592714675,
      0.9814289818548885,
      0.9804832729095657,
      0.9795455465866019,
      0.9786157181028929,
      0.9776937038339528,
      0.9767794213566869,
      0.9758727894930036,
      0.9749737279474417,
      0.9740821576067903,
      0.9731979821714568,
      0.9723210821047794,
      0.971451343689234,
      0.9705886610243238,
      0.9697329349888727,
      0.9688840724204868,
      0.9680419850010359,
      0.9672065888128771,
      0.9663778036490366,
      0.9655555526354261,
      0.964739761655706,
      0.9639303591880156,
      0.9631272759428074,
      0.962330444606084,
      0.9615397994842374,
      0.9607552764568655,
      0.9599768127789201,
      0.9592043473433013,
      0.9584378200299039,
      0.9576771719210947,
      0.9569223450608273,
      0.9561732824694675,
      0.9554299281598383,
      0.9546922271038232,
      0.9539601248948087,
      0.9532335680214034,
      0.9525125036843319,
      0.9517968798174422,
      0.9510866453135725,
      0.9503817493354679,
      0.9496821417969799,
      0.9489877734381859,
      0.9482985955963933,
      0.9476145602319904,
      0.946935619751747,
      0.9462617273412143,
      0.9455928364836194,
      0.9449289013445774,
      0.9442698767499486,
      0.943615717910452,
      0.9429663807063382,
      0.9423218214129799,
      0.9416819969358063,
      0.9410468647916382,
      0.9404163827854733,
      0.9397905090944753,
      0.9391692026066463,
      0.9385524225482257,
      0.9379401286710799,
      0.9373322812372249,
      0.9367288408513008,
      0.9361297686495416,
      0.9355350262861113,
      0.9349445756653821,
      0.9343583792342595,
      0.9337763997156155,
      0.9331986003505132,
      0.9326249447852175,
      0.9320553970603976,
      0.9314899215498135,
      0.9309284830521714,
      0.930371046832525,
      0.9298175786135748,
      0.9292680443638791,
      0.9287224102900461,
      0.9281806431342926,
      0.9276427098621494,
      0.9271085780628638,
      0.9265782154856503,
      0.9260515901868978,
      0.9255286705246808,
      0.925009425408378,
      0.9244938238365437,
      0.9239818352490782,
      0.9234734294729019,
      0.9229685766172795,
      0.9224672470715118,
      0.9219694114518082,
      0.9214750408027632,
      0.9209841064944955,
      0.9204965801201043,
      0.9200124335968068,
      0.9195316392678857,
      0.9190541694452165,
      0.9185799967149115,
      0.9181090942942506,
      0.9176414353720126,
      0.917176993568227,
      0.9167157427327874,
      0.9162576569989602,
      0.9158027107357214,
      0.9153508785510351,
      0.9149021353972737,
      0.9144564564229157,
      0.9140138170279057,
      0.9135741928686213,
      0.9131375597103413,
      0.9127038937379293,
      0.9122731713582682,
      0.9118453691050695,
      0.9114204638487242,
      0.9109984326000339,
      0.910579252415511,
      0.9101629008623991,
      0.9097493556708381,
      0.9093385947928687,
      0.9089305963094966,
      0.9085253385411322,
      0.9081228001077619,
      0.9077229598878193,
      0.9073257968246338,
      0.906931289987653,
      0.9065394187862481,
      0.9061501628277903,
      0.9057635018781419,
      0.905379415822302,
      0.9049978848794471,
      0.9046188894115244,
      0.9042424098848441,
      0.9038684269844502,
      0.9034969215759392,
      0.9031278747186745,
      0.9027612676285016,
      0.9023970817422867,
      0.9020352985793055,
      0.9016759000607831,
      0.9013188680160577,
      0.9009641845026282,
      0.9006118317701507,
      0.90026179222513,
      0.8999140482429651,
      0.8995685828448765,
      0.899225378849691,
      0.8988844193483453,
      0.8985456873641562,
      0.8982091663784941,
      0.8978748398393542,
      0.8975426913822301,
      0.8972127049495224,
      0.8968848645545255,
      0.8965591541980534,
      0.8962355578356627,
      0.8959140599046328,
      0.8955946449866687,
      0.8952772977765795,
      0.8949620028981788,
      0.8946487454323608,
      0.8943375105810741,
      0.8940282834334288,
      0.8937210493420719,
      0.8934157937909879,
      0.8931125023656601,
      0.8928111606721085,
      0.89251175451069,
      0.8922142698465544,
      0.8919186926785669,
      0.8916250092137881,
      0.8913332058385118,
      0.891043268886514,
      0.8907551849155878,
      0.890468940730258,
      0.8901845229471642,
      0.8899019184756909,
      0.8896211142359343,
      0.889342097283845,
      0.8890648549364613,
      0.8887893746435153,
      0.8885156437573273,
      0.8882436497603908,
      0.8879733803914303,
      0.8877048234159098,
      0.887437966701873,
      0.8871727980922751,
      0.8869093056333603,
      0.8866474774475118,
      0.8863873017586754,
      0.8861287671724417,
      0.885871861990337,
      0.8856165747952314,
      0.8853628941723609,
      0.885110808837532,
      0.8848603077145274,
      0.8846113796568578,
      0.8843640136780649,
      0.8841181988772311,
      0.8838739243644442,
      0.883631179491664,
      0.8833899536260648,
      0.8831502362288013,
      0.8829120168320516,
      0.8826752850162988,
      0.8824400305402702,
      0.8822062431660407,
      0.8819739127892797,
      0.8817430294171313,
      0.8815135830956505,
      0.881285563938728,
      0.8810589622083701,
      0.8808337678862094,
      0.880609971465575,
      0.8803875633708161,
      0.8801665340891001,
      0.8799468742001303,
      0.8797285743045505,
      0.8795116252067554,
      0.8792960177419183,
      0.8790817428066533,
      0.8788687913897573,
      0.878657154348618,
      0.8784468228469755,
      0.8782377880299097,
      0.8780300411060993,
      0.8778235734297564,
      0.8776183763290306,
      0.8774144412390731,
      0.8772117596321778,
      0.8770103231006002,
      0.8768101231340083,
      0.8766111515585132,
      0.8764134001112931,
      0.8762168606764597
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183582302120069,
      10.995685488963193,
      10.79822518047432,
      10.592722310672388,
      10.380660578026735,
      10.163634455857173,
      9.943242866877526,
      9.720920939471103,
      9.498018566530199,
      9.275829048006953,
      9.055556927167762,
      8.83826389403118,
      8.624844338105989,
      8.416007717688672,
      8.212268277006862,
      8.013945965388574,
      7.821177069410776,
      7.633932316938359,
      7.452039948099119,
      7.275211376442055,
      7.103067445681185,
      6.935163786997438,
      6.7710142927247725,
      6.6101121736846835,
      6.451948416952787,
      6.29602770559085,
      6.1418763144159785,
      5.9890523395916535,
      5.8371612314743855,
      5.685864511325463,
      5.534884066135809,
      5.383999596155647,
      5.233051987727126,
      5.0819484938794535,
      4.930675831624165,
      4.779302234596372,
      4.627976178788013,
      4.476922202737822,
      4.326414232396069,
      4.1767640558240835,
      4.028337630256887,
      3.8815507485759446,
      3.7368593249281314,
      3.59475426663215,
      3.4557417001553463,
      3.320317466046745,
      3.1889494207646143,
      3.0620672346234064,
      2.9400564976147976,
      2.823251787979449,
      2.7119320547764656,
      2.6063166015777086,
      2.5065630469571265,
      2.4127714343660736,
      2.324991671103819,
      2.2432331023560135,
      2.167466556537561,
      2.097625524032991,
      2.033609127778434,
      1.9752704705173394,
      1.9224161901504526,
      1.874833107511978,
      1.8322836083250686,
      1.7944308082022953,
      1.760831468935261,
      1.7309874187955836,
      1.704363076024145,
      1.6804169576325858,
      1.658695244956954,
      1.6388616061657921,
      1.6206542086060212,
      1.6038668415446433,
      1.5883238928851007,
      1.5738704015774447,
      1.5603680224798824,
      1.547695710275038,
      1.5357501266429665,
      1.5244430045226645,
      1.5136989006277868,
      1.5034532791832897,
      1.4936508803207111,
      1.4842443305313626,
      1.4751930508682038,
      1.4664622504652751,
      1.4580219375407464,
      1.4498461953431034,
      1.441912578512899,
      1.4342016002050426,
      1.426696296087421,
      1.419381854370616,
      1.412245301138696,
      1.4052752333869722,
      1.3984615917128338,
      1.3917955055089632,
      1.3852692432630753,
      1.3788759343367059,
      1.3726093980948992,
      1.3664640502789667,
      1.3604348224756482,
      1.3545170935981934,
      1.3487066790846147,
      1.3429997953781352,
      1.3373929432525111,
      1.3318828647364311,
      1.326466516005124,
      1.3211410432316895,
      1.3159037623255254,
      1.3107521412963308,
      1.3056837847955634,
      1.3006964214032042,
      1.2957878916337437,
      1.2909561381432348,
      1.286199197280161,
      1.2815151909694165,
      1.2769023464031715,
      1.272358993676801,
      1.267883522604272,
      1.2634743760026768,
      1.2591300477024363,
      1.2548490798474392,
      1.2506300606604326,
      1.246471623085661,
      1.2423724423304483,
      1.2383312342428738,
      1.2343467536143686,
      1.2304177926149837,
      1.226543179313929,
      1.2227217764419596,
      1.2189524799925233,
      1.2152342176644038,
      1.2115659479118805,
      1.2079466587916219,
      1.2043753667618016,
      1.2008511155883077,
      1.1973729753095015,
      1.1939400417198294,
      1.1905514351030093,
      1.1872062994375738,
      1.1839038015677295,
      1.1806431303416887,
      1.1774234959224081,
      1.1742441291197916,
      1.1711042807461947,
      1.1680032207423783,
      1.1649402375834526,
      1.1619146379664265,
      1.1589257458147761,
      1.1559729018714806,
      1.1530554634759491,
      1.1501728037627503,
      1.1473243108423334,
      1.1445093878289616,
      1.141727452191835,
      1.1389779352941325,
      1.1362603449440851,
      1.1335742527044634,
      1.13091922271453,
      1.1282948136794273,
      1.125700581277133,
      1.123136080430225,
      1.1206008669376624,
      1.1180944976566005,
      1.1156165208402504,
      1.1131664840874815,
      1.1107439436893427,
      1.1083484646555632,
      1.105979620324615,
      1.1036369925244487,
      1.1013201713683864,
      1.099028755094343,
      1.0967623500494763,
      1.094520570668155,
      1.0923030390879254,
      1.090109385217658,
      1.0879392463935573,
      1.085792267030268,
      1.0836680989793124,
      1.0815664008151695,
      1.0794868383890748,
      1.0774290839045648,
      1.0753928161082067,
      1.073377720222962,
      1.0713834877261486,
      1.0694098162775776,
      1.0674564092890229,
      1.0655229760000589,
      1.0636092310939707,
      1.0617148950235846,
      1.059839693521612,
      1.0579833589407126,
      1.056145638157656,
      1.0543262864020737,
      1.0525250614981623,
      1.0507417236461247,
      1.048976035808851,
      1.047227763941307,
      1.0454966773182732,
      1.0437825487065886,
      1.0420851541791065,
      1.0404042729772558,
      1.0387396879819135,
      1.0370911854199418,
      1.0354585548235913,
      1.0338415892431552,
      1.032240085306307,
      1.0306538430734336,
      1.0290826656384593,
      1.0275263593901311,
      1.0259847340184234,
      1.0244576024703507,
      1.0229447808039223,
      1.0214460880930358,
      1.0199613464341664,
      1.0184903810040071,
      1.0170330197107298,
      1.0155890933536191,
      1.0141584355289903,
      1.0127408827401558,
      1.0113362739989231,
      1.0099444509869746,
      1.0085652578112312,
      1.0071985413693942,
      1.0058441510553713,
      1.0045019385163232,
      1.0031717578167079,
      1.001853465450655,
      1.0005469201007122,
      0.999251982753183,
      0.9979685167124094,
      0.996696387107473,
      0.9954354612128412,
      0.9941856085663449,
      0.992946700783,
      0.9917186114715502,
      0.9905012158971823,
      0.9892943915097457,
      0.98809801750615,
      0.9869119749534192,
      0.9857361466070651,
      0.9845704170862059,
      0.9834146726936569,
      0.9822688014912472,
      0.981132693222926,
      0.980006239341265,
      0.9788893326274204,
      0.9777818676763124,
      0.9766837389416626,
      0.9755948100855933,
      0.9745149264984961,
      0.9734439448211382,
      0.9723817311990774,
      0.9713281600646491,
      0.9702831127314266,
      0.9692464767643085,
      0.9682181448522502,
      0.9671980143006208,
      0.9661859864299852,
      0.9651819661341363,
      0.964185861240609,
      0.9631975826899348,
      0.9622170436004736,
      0.9612441593541476,
      0.9602788474307339,
      0.9593210269909295,
      0.9583706190213241,
      0.9574275462272123,
      0.9564917324189011,
      0.955563103171391,
      0.9546415850611638,
      0.953727105922165,
      0.9528195948991894,
      0.9519189820957685,
      0.9510251988338396,
      0.9501381771002786,
      0.9492578500625873,
      0.9483841519241931,
      0.9475170178319299,
      0.9466563836825658,
      0.9458021862353477,
      0.9449543631742856,
      0.9441128531205203,
      0.9432775954422339,
      0.9424485302689146,
      0.941625598353389,
      0.9408087412904813,
      0.9399979015329961,
      0.9391930220017907,
      0.9383940466117021,
      0.9376009198828467,
      0.936813587112332,
      0.9360319941904592,
      0.9352560876208897,
      0.9344858146940203,
      0.9337211232036376,
      0.9329619615705517,
      0.9322082789161522,
      0.9314600249332665,
      0.9307171499610325,
      0.9299796048568806,
      0.9292473412253468,
      0.9285203112406655,
      0.9277984675208234,
      0.9270817632563748,
      0.9263701522380079,
      0.9256635887324195,
      0.924962027561869,
      0.9242654240828772,
      0.9235737341652,
      0.9228869142732958,
      0.9222049213960999,
      0.9215277128244033,
      0.9208552463864431,
      0.9201874804807011,
      0.9195243740076242,
      0.9188658861491555,
      0.9182119768101802,
      0.9175626060940941,
      0.9169177346942455,
      0.91627732372657,
      0.9156413346643063,
      0.9150097296295068,
      0.9143824709729627,
      0.9137595215158546,
      0.9131408444866161,
      0.9125264035600951,
      0.9119161625919092,
      0.9113100861671102,
      0.9107081390813629,
      0.9101102864838639,
      0.9095164940205144,
      0.9089267275708921,
      0.9083409533415107,
      0.9077591381120855,
      0.9071812489738592,
      0.9066072531701015,
      0.9060371184456878,
      0.905470812786287,
      0.9049083048197832,
      0.9043495633028252,
      0.9037945572178041,
      0.9032432559208871,
      0.9026956290365242,
      0.9021516466570503,
      0.9016112791872255,
      0.9010744973417539,
      0.9005412719905637,
      0.900011574462159,
      0.8994853762881038,
      0.8989626492526327,
      0.8984433654429497,
      0.897927497401624,
      0.8974150177708824,
      0.896905899598406,
      0.8964001161858164,
      0.895897641039348,
      0.8953984478716353,
      0.89490251065453,
      0.8944098037230621,
      0.8939203017277286,
      0.8934339793834072,
      0.8929508117780658,
      0.8924707742240697,
      0.8919938423643963,
      0.8915199920248972,
      0.8910491992702,
      0.8905814403583083,
      0.890116691797266,
      0.8896549302494424,
      0.8891961328939042,
      0.8887402768231801,
      0.8882873392537828,
      0.8878372978891377,
      0.88739013057146,
      0.886945815340815,
      0.886504330545117,
      0.8860656545947255,
      0.8856297663784435,
      0.8851966446627934,
      0.8847662684576089,
      0.8843386170766032,
      0.8839136700970558,
      0.8834914070143739,
      0.8830718078632419,
      0.8826548525676414,
      0.8822405214101073,
      0.8818287948401748,
      0.8814196534863876,
      0.8810130781687342,
      0.8806090498606749,
      0.8802075496510411,
      0.8798085589099283,
      0.8794120590478327,
      0.8790180316311453,
      0.8786264585994292,
      0.8782373219238876,
      0.8778506038255087,
      0.8774662865865048,
      0.8770843526162673,
      0.8767047844157331,
      0.8763275648470404,
      0.875952676997118,
      0.8755801039905664,
      0.8752098290062529,
      0.874841835446308,
      0.8744761069531828,
      0.8741126271217852,
      0.8737513798218319,
      0.8733923491139118,
      0.873035518860511,
      0.8726808734557828,
      0.8723283973864022,
      0.8719780751993867,
      0.8716298914702362,
      0.8712838311269637,
      0.870939879113566,
      0.8705980204095067,
      0.8702582401510603,
      0.8699205236511025,
      0.8695848563684152,
      0.869251223978963,
      0.8689196122441043,
      0.8685900070317022,
      0.8682623942353715,
      0.8679367599483855,
      0.8676130904343275,
      0.8672913719962733,
      0.8669715908969821,
      0.866653733685906,
      0.8663377871196886,
      0.8660237379815067,
      0.8657115731038445,
      0.8654012795948129,
      0.8650928445562006,
      0.8647862550560421,
      0.8644814985079307,
      0.8641785622368537,
      0.8638774337575563,
      0.8635781007474647,
      0.8632805509695067,
      0.8629847721438557,
      0.862690752226878,
      0.8623984792831572,
      0.8621079415107646,
      0.8618191272664857,
      0.8615320248372196,
      0.8612466224653803,
      0.8609629086285904,
      0.8606808719128016,
      0.860400501038301,
      0.86012178473332,
      0.8598447119639747,
      0.8595692717572638,
      0.8592954532791359,
      0.8590232457596223,
      0.8587526382658655,
      0.8584836200851956,
      0.8582161807013003,
      0.8579503096185664,
      0.8576859964407746,
      0.8574232307971976,
      0.8571620022688058,
      0.8569023008231806,
      0.8566441164361293,
      0.8563874390693925,
      0.8561322587503267,
      0.8558785654985904,
      0.8556263496094642,
      0.855375601428503,
      0.8551263113810949,
      0.8548784706121123,
      0.8546320779366927,
      0.8543871356685027,
      0.8541436438798824,
      0.8539016011177492,
      0.8536610044537982,
      0.8534218497854058,
      0.8531841323369241,
      0.8529478464468586,
      0.8527129858616245,
      0.8524795436206627,
      0.8522475125502645,
      0.8520168850444232,
      0.8517876532007211,
      0.851559809108121,
      0.8513333444732386
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183572487891675,
      10.995666448847299,
      10.798207934198429,
      10.59272558374636,
      10.380712550191602,
      10.163773160731418,
      9.943504074724268,
      9.72133776080735,
      9.498622736816317,
      9.276650324286614,
      9.056622920595872,
      8.839599551876624,
      8.626471824987869,
      8.417946436081914,
      8.214535078996082,
      8.01655552536943,
      7.824142359098968,
      7.637265125675128,
      7.455751398904053,
      7.279312400117615,
      7.1075691821549345,
      6.940077895051381,
      6.776353157311675,
      6.615889003085256,
      6.458177228670135,
      6.302723200778547,
      6.149055252271478,
      5.9967323482000925,
      5.845359562653456,
      5.694597509334933,
      5.544167598539851,
      5.393849500269007,
      5.243484354549256,
      5.092976607380766,
      4.942308181500584,
      4.791541823641287,
      4.640819919537802,
      4.49036122310873,
      4.340439092541029,
      4.191362669854384,
      4.043490503305742,
      3.8972312170102823,
      3.753032785176126,
      3.611377307331667,
      3.472765121686992,
      3.3376892755518406,
      3.2066181576224713,
      3.079982950742248,
      2.958169739578412,
      2.8415145832286366,
      2.730297737135241,
      2.6247393183188525,
      2.5250003604196043,
      2.4311850447554466,
      2.343348669113517,
      2.261506008262941,
      2.1856320689125446,
      2.1156638667100767,
      2.0515007812278063,
      1.9929941038729486,
      1.9399508678343025,
      1.8921606989601778,
      1.8493864073803343,
      1.8112898042077423,
      1.777427338512547,
      1.7473020724679218,
      1.7203804656517316,
      1.6961225485455576,
      1.674072189810323,
      1.6538927935502665,
      1.6353231491894389,
      1.6181583110040416,
      1.6022258715382842,
      1.587374816477979,
      1.5734716248407448,
      1.560397916996466,
      1.5480518126855711,
      1.5363462528958238,
      1.5252067876965332,
      1.5145696908868307,
      1.5043803548589412,
      1.4945919246053732,
      1.4851641366263006,
      1.476062332139556,
      1.4672566660956154,
      1.4587214239280182,
      1.4504343149170171,
      1.4423759495605155,
      1.4345294136472717,
      1.4268799056888652,
      1.419414429857258,
      1.412121534213891,
      1.404991088944049,
      1.398014097995005,
      1.3911826345829814,
      1.3844897332484056,
      1.3779291240032743,
      1.3714951215351805,
      1.3651825477236643,
      1.3589866657436833,
      1.352903123603523,
      1.3469279405130954,
      1.341057503692318,
      1.335288453887903,
      1.3296176418225027,
      1.3240421057202012,
      1.3185590521223474,
      1.3131658391930203,
      1.3078599621193003,
      1.3026390405664448,
      1.2975008079442651,
      1.2924431012728221,
      1.2874638532336713,
      1.282561084379726,
      1.277732896987112,
      1.2729774688773312,
      1.2682930485393868,
      1.2636779504393256,
      1.2591305736673606,
      1.254649404486485,
      1.2502329772536256,
      1.2458798685118435,
      1.2415886956619278,
      1.2373581160492608,
      1.2331868256574634,
      1.2290735578209169,
      1.2250170823679283,
      1.2210162040800494,
      1.2170697617432347,
      1.21317662692996,
      1.2093357031267016,
      1.2055459245997022,
      1.2018062551549937,
      1.1981156874059282,
      1.1944732417881652,
      1.190877965426815,
      1.1873289314682607,
      1.1838252379637753,
      1.180366007222507,
      1.1769503847206542,
      1.1735775384838436,
      1.1702466585379914,
      1.166956956227552,
      1.1637076631477874,
      1.1604980306596078,
      1.1573273291740611,
      1.154194847767606,
      1.1510998933668901,
      1.1480417901652862,
      1.1450198792213284,
      1.1420335372630812,
      1.1390822407902734,
      1.136165492677786,
      1.133282788829957,
      1.1304336216145627,
      1.1276174820335112,
      1.1248338621616922,
      1.1220822568406825,
      1.1193621646312717,
      1.1166730893499195,
      1.1140145391913192,
      1.1113860163137377,
      1.1087870254607,
      1.1062170834215168,
      1.1036757284329364,
      1.1011625153465388,
      1.0986770061182038,
      1.096218769848631,
      1.0937873832183005,
      1.0913824308101054,
      1.089003504710325,
      1.086650204609071,
      1.0843221378417738,
      1.0820189193213396,
      1.0797401713616548,
      1.0774855235965133,
      1.0752546133504013,
      1.073047084732656,
      1.0708625890999306,
      1.068700784547684,
      1.0665613357025356,
      1.064443913968191,
      1.0623481975135187,
      1.0602738705458934,
      1.0582206234455058,
      1.0561881527445158,
      1.0541761607983702,
      1.0521843556071264,
      1.050212451092411,
      1.0482601664057902,
      1.046327226303827,
      1.0444133605546018,
      1.042518304207627,
      1.040641797251674,
      1.0387835846276525,
      1.0369434159858286,
      1.0351210455948008,
      1.0333162321982552,
      1.0315287390746748,
      1.0297583338924396,
      1.028004788361282,
      1.0262678786458634,
      1.024547384711066,
      1.0228430905822923,
      1.0211547838932107,
      1.0194822564504562,
      1.017825303628631,
      1.016183724223128,
      1.0145573205056808,
      1.012945898331046,
      1.0113492670403201,
      1.0097672390593173,
      1.0081996301073544,
      1.006646259202778,
      1.005106948058562,
      1.0035815216476627,
      1.0020698079039068,
      1.0005716376274254,
      0.9990868445934838,
      0.9976152650517245,
      0.996156738140944,
      0.9947111055416367,
      0.993278211739422,
      0.9918579036280805,
      0.9904500303671999,
      0.9890544436978188,
      0.9876709978520923,
      0.9862995492602133,
      0.9849399568174205,
      0.9835920815923399,
      0.982255786688634,
      0.9809309374630483,
      0.9796173939113502,
      0.9783149762239716,
      0.9770234944583431,
      0.9757427719233251,
      0.9744726434063938,
      0.9732129533206441,
      0.9719635544285821,
      0.9707243067841755,
      0.9694950767380176,
      0.9682757360040004,
      0.9670661611417166,
      0.9658662333516317,
      0.9646758373617342,
      0.9634948612859073,
      0.9623231962834554,
      0.9611607363245318,
      0.960007377959055,
      0.9588630199873206,
      0.957727563336589,
      0.9566009109399969,
      0.9554829675669103,
      0.9543736398075882,
      0.9532728359071725,
      0.9521804656522104,
      0.9510964403091813,
      0.9500206726664557,
      0.9489530767210852,
      0.9478935678247637,
      0.9468420627287505,
      0.9457984794268582,
      0.9447627370502573,
      0.9437347559665844,
      0.9427144574221987,
      0.9417017641515335,
      0.9406965996651941,
      0.9396988887084861,
      0.9387085570089372,
      0.9377255313296295,
      0.9367497394726094,
      0.9357811101304889,
      0.9348195728406459,
      0.9338650582448279,
      0.9329174978413219,
      0.9319768238904773,
      0.9310429695747419,
      0.9301158691597184,
      0.9291954576477658,
      0.9282816709914085,
      0.9273744459010331,
      0.9264737197546964,
      0.9255794307626543,
      0.924691518031099,
      0.9238099214231148,
      0.9229345814205819,
      0.9220654395457544,
      0.9212024378687883,
      0.920345519074795,
      0.9194946267350818,
      0.918649705019635,
      0.917810698715504,
      0.916977553449001,
      0.916150215451074,
      0.9153286316793997,
      0.9145127495341031,
      0.9137025171337044,
      0.9128978833368628,
      0.912098797511185,
      0.9113052096581536,
      0.9105170703864662,
      0.909734330885706,
      0.9089569429007148,
      0.9081848588083604,
      0.9074180315422175,
      0.90665641456898,
      0.9058999618651284,
      0.9051486278434889,
      0.9044023676359015,
      0.903661136868544,
      0.9029248915902882,
      0.9021935885065179,
      0.9014671845525047,
      0.9007456373826401,
      0.9000289050975032,
      0.8993169463275498,
      0.8986097199102929,
      0.8979071853818049,
      0.8972093027566406,
      0.8965160323594359,
      0.8958273350636536,
      0.8951431720222854,
      0.8944635050093993,
      0.8937882964063688,
      0.8931175085275436,
      0.8924511044719846,
      0.891789047500566,
      0.8911313014819492,
      0.8904778305250879,
      0.8898285990700395,
      0.8891835720806398,
      0.8885427150348427,
      0.8879059934573498,
      0.887273373368456,
      0.8866448214278592,
      0.8860203043674015,
      0.8853997893396331,
      0.8847832437070019,
      0.8841706353911,
      0.8835619325103816,
      0.8829571035777843,
      0.8823561172917294,
      0.8817589429888424,
      0.8811655501818383,
      0.880575908555551,
      0.8799899883700419,
      0.8794077599996409,
      0.8788291941844601,
      0.8782542619262534,
      0.87768293448628,
      0.8771151836379508,
      0.8765509814115456,
      0.8759902999411213,
      0.8754331116165984,
      0.8748793892869517,
      0.874329106006436,
      0.8737822350353786,
      0.8732387499938733,
      0.8726986246598006,
      0.8721618331234409,
      0.8716283497385613,
      0.8710981490742069,
      0.870571206070401,
      0.870047495838011,
      0.8695269937134571,
      0.8690096753135117,
      0.868495516539784,
      0.86798449353284,
      0.8674765825757077,
      0.8669717600484986,
      0.8664700028406884,
      0.8659712879505954,
      0.8654755925429762,
      0.8649828939554337,
      0.8644931699090358,
      0.8640063983632484,
      0.8635225573712989,
      0.8630416252918685,
      0.8625635804924975,
      0.8620884017140495,
      0.861616067978297,
      0.861146558241221,
      0.8606798518605127,
      0.860215928300456,
      0.8597547672437352,
      0.8592963486531155,
      0.8588406524772783,
      0.8583876589160319,
      0.85793735051719,
      0.857489723692377,
      0.8570447801203097,
      0.8566025178080876,
      0.8561629318604282,
      0.8557260147828614,
      0.8552917572873419,
      0.854860148227979,
      0.8544311752441353,
      0.8540048247896541,
      0.8535810825663672,
      0.8531599335987661,
      0.8527413623581181,
      0.8523253527323049,
      0.8519118884008343,
      0.8515009527514611,
      0.8510925289994583,
      0.8506866002550841,
      0.850283149591106,
      0.8498821599570571,
      0.8494836145512252,
      0.8490874964298429,
      0.8486937885227607,
      0.8483024739539405,
      0.8479135360062892,
      0.8475269578830665,
      0.8471427228252572,
      0.8467608144832107,
      0.846381216424332,
      0.8460039125053903,
      0.8456288865329171,
      0.8452561225344277,
      0.8448856045207981,
      0.8445173167064727,
      0.8441512434758927,
      0.8437873693501509,
      0.8434256786993763,
      0.8430661563197066,
      0.842708787146308,
      0.8423535560174336,
      0.8420004479978519,
      0.841649448397563,
      0.8413005425364809,
      0.8409537158652443,
      0.8406089540354579,
      0.8402662427159918,
      0.8399255677142795,
      0.8395869150472735,
      0.8392502707584513,
      0.8389156210906239,
      0.8385829523542518,
      0.8382522509482797,
      0.8379235033303484,
      0.8375966960887639,
      0.8372718160147206,
      0.8369488500733445,
      0.836627785171313,
      0.8363086083823554,
      0.8359913068678899,
      0.8356758678993214,
      0.8353622788807935,
      0.8350505274230725,
      0.8347406010614673,
      0.8344324875334536,
      0.8341261745986551,
      0.8338216501642187,
      0.8335189023087439,
      0.8332179190519668,
      0.8329186886333113,
      0.832621199332827,
      0.8323254394956713,
      0.8320313977096508,
      0.8317390626267266,
      0.8314484227339932,
      0.8311594668365253,
      0.830872183828652,
      0.8305865626177115,
      0.8303025922009578,
      0.8300202616912649,
      0.829739560394352,
      0.8294604774282915,
      0.8291830022075729,
      0.828907124317193,
      0.8286328332853814,
      0.8283601186615959,
      0.8280889701451672,
      0.8278193775109469,
      0.82755133068753,
      0.8272848195307798,
      0.8270198341057995,
      0.8267563645622121,
      0.8264944011116762,
      0.8262339338527577,
      0.8259749531549956,
      0.825717449534966,
      0.8254614134817915,
      0.8252068354860471
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183560338997951,
      10.99563854783167,
      10.798171324137957,
      10.592695009758621,
      10.380712436264412,
      10.163838071447035,
      9.943665979526866,
      9.721626422758414,
      9.49906707060471,
      9.277277588552709,
      9.057458444689681,
      8.84066637820315,
      8.627790499235656,
      8.419534949886563,
      8.216409015164851,
      8.018728360807476,
      7.826625872489546,
      7.640069859274653,
      7.458887128501853,
      7.282788574507844,
      7.111395305577299,
      6.944263833572351,
      6.780909391912481,
      6.62082671097032,
      6.463508268823302,
      6.308460077502229,
      6.1552124331748965,
      6.003325198360148,
      5.8524032373050385,
      5.702106513862528,
      5.552156167575292,
      5.4023322357971395,
      5.252476001168017,
      5.1024900623925245,
      4.952352314946249,
      4.802120867325088,
      4.651932925463708,
      4.502001630562779,
      4.352599062266145,
      4.204033332979544,
      4.056657899079409,
      3.910875007833363,
      3.767125939340712,
      3.6258848602594393,
      3.487646310547361,
      3.3529004997350826,
      3.222114148576094,
      3.0957190906198266,
      2.974102952187232,
      2.8576021229068003,
      2.746497127425336,
      2.6410103412967967,
      2.541305855211868,
      2.4474915634923637,
      2.359627478627617,
      2.2777325598144635,
      2.201785064758651,
      2.131724935993696,
      2.067450868681699,
      2.0088120470218978,
      1.9556158335696994,
      1.9076542126828167,
      1.864689739386475,
      1.8263828767745365,
      1.7922892032539763,
      1.7619127871488545,
      1.734722198618422,
      1.710179067403046,
      1.687826628431234,
      1.6673271234417886,
      1.6484202426127446,
      1.6309023697247482,
      1.6146042509331153,
      1.5993784592971383,
      1.5850957270000399,
      1.5716414397043998,
      1.5589152109056519,
      1.5468311936512533,
      1.5353159352530144,
      1.5243065232143178,
      1.5137490068939663,
      1.5035970544811204,
      1.4938108116244138,
      1.48435593210275,
      1.4752027541374262,
      1.466325601904635,
      1.4577021918434234,
      1.4493131478649393,
      1.4411416131940586,
      1.4331728207635936,
      1.425393773470509,
      1.4177929893988954,
      1.4103602852784298,
      1.403086592355406,
      1.3959638303015085,
      1.3889849001904848,
      1.382143451232883,
      1.375433705219904,
      1.3688503822168498,
      1.362388636760069,
      1.356044003479461,
      1.3498123505534527,
      1.343689878105518,
      1.3376731173552463,
      1.3317588216593417,
      1.325943928614011,
      1.3202255425508096,
      1.3146009185733132,
      1.3090674486069003,
      1.3036226500848664,
      1.298264154639139,
      1.2929896995019188,
      1.2877971192894844,
      1.282684338941354,
      1.2776493670099922,
      1.2726902902758697,
      1.2678052685265075,
      1.2629925300156284,
      1.2582503674063164,
      1.2535771338994703,
      1.2489712399102986,
      1.2444311502988246,
      1.2399554048468866,
      1.2355426179687308,
      1.2311914430584492,
      1.2269005690999926,
      1.2226687199836035,
      1.2184946536863603,
      1.2143771618303079,
      1.2103150685552615,
      1.2063072298291504,
      1.2023525329970237,
      1.1984498957590957,
      1.194598265191618,
      1.190796616813817,
      1.1870439539074948,
      1.1833393064311148,
      1.1796817305992116,
      1.1760703077057224,
      1.1725041436179744,
      1.168982367773509,
      1.1655041325464905,
      1.1620686165975356,
      1.1586750323188937,
      1.1553226131205938,
      1.1520106095412241,
      1.1487382894467868,
      1.1455049652587819,
      1.142310059875393,
      1.1391530125088671,
      1.1360332547712937,
      1.1329502147285715,
      1.1299033193273427,
      1.1268919971846523,
      1.1239156801173045,
      1.1209738050936517,
      1.118065815289254,
      1.1151911608597922,
      1.1123493000444966,
      1.1095396972962446,
      1.1067618126871128,
      1.1040151108579357,
      1.1012990695847944,
      1.0986131793825924,
      1.0959569428955314,
      1.0933298747366542,
      1.0907315005045781,
      1.0881613569110626,
      1.085618991391938,
      1.0831039615072617,
      1.0806158348431185,
      1.0781541884484893,
      1.0757186084184596,
      1.0733086901829507,
      1.0709240377728324,
      1.0685642634362693,
      1.0662289882669294,
      1.063917840742437,
      1.0616304575468138,
      1.0593664828626346,
      1.0571255679643614,
      1.0549073713162984,
      1.052711558463133,
      1.0505378017649492,
      1.0483857802308907,
      1.0462551791971586,
      1.0441456903072597,
      1.0420570111847463,
      1.0399888455609896,
      1.0379409027907864,
      1.0359128979756764,
      1.0339045515263239,
      1.0319155894856813,
      1.0299457432403534,
      1.027994749027615,
      1.0260623480506703,
      1.02414828659292,
      1.0222523155717127,
      1.020374190345352,
      1.0185136709257572,
      1.0166705216817213,
      1.014844511448718,
      1.013035413078155,
      1.0112430036477018,
      1.0094670643658965,
      1.0077073803237173,
      1.0059637402970398,
      1.004235936904562,
      1.0025237662568491,
      1.0008270283172864,
      0.999145526398806,
      0.997479067118023,
      0.9958274607052127,
      0.9941905205520535,
      0.9925680631154394,
      0.9909599081263193,
      0.9893658782904616,
      0.9877857991925696,
      0.9862194995062454,
      0.9846668107971333,
      0.9831275593413236,
      0.9816015255664675,
      0.9800884771078778,
      0.9785881975032468,
      0.9771004840351152,
      0.9756251455980798,
      0.9741620012982289,
      0.9727108789165362,
      0.9712716139969543,
      0.9698440485904727,
      0.9684280308229775,
      0.9670234139629795,
      0.9656300559038106,
      0.9642478186515488,
      0.9628765681743386,
      0.9615161738497353,
      0.9601665082718057,
      0.9588274467566383,
      0.9574988675118538,
      0.9561806511985109,
      0.9548726808004854,
      0.9535748413430942,
      0.9522870201730096,
      0.9510091065786684,
      0.949740991666633,
      0.9484825683917095,
      0.9472337315882987,
      0.9459943776980948,
      0.9447644048039404,
      0.9435437127663766,
      0.9423322027005001,
      0.9411297773687228,
      0.9399363410661213,
      0.9387517993034695,
      0.9375760591010556,
      0.9364090287750533,
      0.935250618029704,
      0.9341007378470527,
      0.9329593005811434,
      0.9318262195442788,
      0.930701409458431,
      0.9295847862465548,
      0.928476266926402,
      0.9273757699119511,
      0.9262832144513242,
      0.9251985208789664,
      0.9241216108174339,
      0.9230524068718137,
      0.9219908326299682,
      0.9209368127650561,
      0.9198902728338203,
      0.9188511394312248,
      0.9178193403973662,
      0.9167948043126376,
      0.9157774606044847,
      0.9147672397558833,
      0.9137640732097924,
      0.9127678931727625,
      0.9117786327241694,
      0.9107962259259474,
      0.9098206075774967,
      0.9088517134286501,
      0.9078894799869554,
      0.9069338445285868,
      0.9059847452120127,
      0.9050421209377588,
      0.9041059112600168,
      0.9031760567562838,
      0.9022524986863427,
      0.9013351788041077,
      0.9004240397292212,
      0.8995190248619875,
      0.8986200782481735,
      0.8977271444950439,
      0.8968401690950666,
      0.8959590981399453,
      0.8950838782896946,
      0.8942144569965655,
      0.8933507823226485,
      0.8924928028602669,
      0.8916404677540374,
      0.890793726927282,
      0.8899525308004025,
      0.8891168304678841,
      0.8882865775195452,
      0.8874617241677121,
      0.886642223222353,
      0.8858280279653565,
      0.8850190922793617,
      0.8842153706247944,
      0.8834168178139116,
      0.882623389344974,
      0.8818350411772543,
      0.8810517298121411,
      0.8802734121712733,
      0.8795000456784965,
      0.8787315882915133,
      0.8779679984834382,
      0.877209235021349,
      0.8764552572029318,
      0.8757060248902185,
      0.8749614984425461,
      0.8742216385480517,
      0.8734864065137499,
      0.8727557636912993,
      0.8720296721745358,
      0.8713080945313882,
      0.8705909935365009,
      0.8698783324637088,
      0.8691700749209624,
      0.868466184838546,
      0.8677666266608742,
      0.867071365284922,
      0.8663803657954123,
      0.8656935937602116,
      0.8650110151189565,
      0.8643325962248483,
      0.8636583038364746,
      0.8629881049064007,
      0.8623219668277642,
      0.8616598573255035,
      0.8610017445005655,
      0.860347604707959,
      0.8596974354971183,
      0.8590512342074617,
      0.8584089933575162,
      0.8577707014630929,
      0.8571363438961749,
      0.8565059031756196,
      0.8558793596572415,
      0.8552566921165421,
      0.8546378778181022,
      0.8540228930385317,
      0.8534117129254889,
      0.8528043120655814,
      0.8522006645415238,
      0.8516007440899122,
      0.8510045240536651,
      0.850411977638817,
      0.8498230781196338,
      0.8492377985856495,
      0.8486561121965273,
      0.8480779923354618,
      0.8475034122534713,
      0.846932345425979,
      0.8463647654511336,
      0.8458006459995248,
      0.8452399609669702,
      0.8446826845260882,
      0.8441287909236318,
      0.843578254684982,
      0.8430310504628019,
      0.8424871532420357,
      0.8419465381891632,
      0.8414091807053947,
      0.8408750563781114,
      0.8403441411873641,
      0.8398164110513715,
      0.8392918421857715,
      0.8387704111073394,
      0.8382520946381158,
      0.8377368696558232,
      0.8372247133019992,
      0.8367156028851881,
      0.836209516090072,
      0.8357064305762879,
      0.8352063243404507,
      0.8347091756207554,
      0.8342149627513359,
      0.8337236642708419,
      0.8332352590315119,
      0.8327497259016287,
      0.8322670441804724,
      0.8317871933523346,
      0.831310152942864,
      0.8308359026805908,
      0.8303644226078105,
      0.8298956927851293,
      0.8294296934029528,
      0.8289664050457671,
      0.8285058083974924,
      0.8280478843031965,
      0.8275926137800972,
      0.8271399780289732,
      0.8266899583439424,
      0.82624253622603,
      0.8257976934462036,
      0.8253554119561832,
      0.824915673799744,
      0.8244784610749787,
      0.8240437560999797,
      0.8236115413752991,
      0.8231817995979694,
      0.8227545136756856,
      0.8223296663852403,
      0.8219072409973199,
      0.8214872206810279,
      0.8210695888243846,
      0.8206543289986481,
      0.8202414249230673,
      0.8198308603791726,
      0.8194226193794595,
      0.8190166860821112,
      0.8186130446551452,
      0.8182116795472577,
      0.8178125754036457,
      0.8174157167273064,
      0.8170210883034793,
      0.8166286751156119,
      0.8162384622108548,
      0.8158504347694393,
      0.815464578072255,
      0.8150808776722303,
      0.814699319057274,
      0.8143198879240622,
      0.8139425699938412,
      0.8135673511845386,
      0.8131942175287575,
      0.8128231551941486,
      0.8124541502999882,
      0.8120871893444382,
      0.811722259022172,
      0.8113593456858923,
      0.8109984361302779,
      0.8106395172063977,
      0.8102825757923958,
      0.809927598916917,
      0.8095745738319062,
      0.8092234877297125,
      0.8088743281214567,
      0.8085270824021085,
      0.8081817380256316,
      0.8078382826294436,
      0.8074967040064603,
      0.8071569900776994,
      0.8068191287632744,
      0.8064831080059879,
      0.8061489161001507,
      0.8058165413089032,
      0.8054859718885753,
      0.8051571962655285,
      0.8048302029080032,
      0.8045049805542975,
      0.8041815178308876,
      0.8038598036845634,
      0.8035398268991224,
      0.8032215764259526,
      0.8029050413077328,
      0.802590210806076,
      0.8022770741223163,
      0.8019656206273282,
      0.8016558397351032,
      0.8013477208785913,
      0.8010412534851373,
      0.8007364273591338,
      0.8004332322005487,
      0.8001316577846813,
      0.7998316940400937,
      0.7995333308218548,
      0.7992365581931401,
      0.7989413663004981,
      0.7986477451981021,
      0.7983556851808989,
      0.7980651765582566,
      0.7977762098859067
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183546105351718,
      10.99560253110651,
      10.798117245608072,
      10.592634047791531,
      10.38066544429561,
      10.163835864972445,
      9.943737296817176,
      9.721798011174547,
      9.499365224364242,
      9.277727320130497,
      9.058083066145178,
      8.841487260370105,
      8.628826760079717,
      8.420803343160424,
      8.217924015575072,
      8.020502402337044,
      7.828669696715661,
      7.64239292341214,
      7.461498032364904,
      7.2856954705483945,
      7.114606264060444,
      6.947787259599944,
      6.784754772583856,
      6.625004032379793,
      6.468027470989687,
      6.313331610127431,
      6.160448177251945,
      6.00893845945965,
      5.8584072576031385,
      5.708514114012805,
      5.558980162729908,
      5.409585708915398,
      5.260171749833239,
      5.110640635878305,
      4.9609669096265785,
      4.811204791190131,
      4.661487111445334,
      4.5120222374377414,
      4.363080208397943,
      4.214970069095251,
      4.068041025352545,
      3.9226896684699524,
      3.7793517736433264,
      3.6384948358351545,
      3.500607498447837,
      3.3661766325753746,
      3.23566713127468,
      3.1095098954279115,
      2.988092481355679,
      2.8717519968007497,
      2.7607703655305817,
      2.655371915291673,
      2.5557231030920073,
      2.461934974089452,
      2.37407159297078,
      2.2921552315622704,
      2.2161666909184223,
      2.146047483279369,
      2.0816944549541763,
      2.0229554507241554,
      1.969638333579614,
      1.9215370875169753,
      1.8784131101581014,
      1.839924997441341,
      1.8056277692796592,
      1.7750264243507587,
      1.7475916171010006,
      1.7227866359299595,
      1.7001548162641726,
      1.6793582245580612,
      1.6601374392889807,
      1.642289911995634,
      1.6256487589106974,
      1.6100700449231478,
      1.5954278698660531,
      1.5816117459861638,
      1.5685238046750691,
      1.556079405934049,
      1.5442060910233062,
      1.5328417584459775,
      1.5219331124616364,
      1.5114343433664803,
      1.5013060062016446,
      1.4915140680807777,
      1.482029100026253,
      1.472825590629784,
      1.463881363868291,
      1.4551770853792794,
      1.446695843113338,
      1.438422792932519,
      1.4303448570784412,
      1.4224504687965893,
      1.4147293558828689,
      1.4071723631938933,
      1.3997713136722685,
      1.3925189871659855,
      1.385408969724188,
      1.3784354072484601,
      1.3715929328161223,
      1.3648766057150312,
      1.358281859185702,
      1.3518044558417028,
      1.3454404494794645,
      1.3391862075799075,
      1.3330383880184105,
      1.3269938368892145,
      1.321049564333528,
      1.3152027298596998,
      1.3094506295952666,
      1.3037906848758714,
      1.2982204325923248,
      1.2927375162413302,
      1.2873396783022255,
      1.2820247533918905,
      1.276790661852635,
      1.2716354042914244,
      1.2665570568256606,
      1.2615537663323668,
      1.2566237464716878,
      1.2517652740349143,
      1.2469766854211162,
      1.2422563820996175,
      1.2376028254414668,
      1.2330145258058873,
      1.2284900402230643,
      1.2240279705393908,
      1.219626987565832,
      1.21528582582634,
      1.2110032507838884,
      1.2067780572670164,
      1.202609069694914,
      1.1984951418689496,
      1.1944351563360198,
      1.190428024497369,
      1.1864726859417511,
      1.1825681076174261,
      1.1787132830998879,
      1.174907232366286,
      1.1711490011637145,
      1.1674376599240186,
      1.1637723033970442,
      1.1601520497846594,
      1.1565760401403204,
      1.1530434376805423,
      1.1495534464401593,
      1.1461053874184501,
      1.1426986221755022,
      1.1393325058491826,
      1.1360063910780953,
      1.1327196309507854,
      1.1294715816497674,
      1.1262616043882734,
      1.1230890671027276,
      1.1199533452941268,
      1.116853823293314,
      1.1137898953941383,
      1.1107609657894812,
      1.1077664490921117,
      1.1048057693062983,
      1.101878347736021,
      1.0989836106898296,
      1.0961209998012473,
      1.0932899710459005,
      1.0904899942574182,
      1.0877205524304074,
      1.0849811410649892,
      1.0822712681634148,
      1.0795904531503189,
      1.0769382267508114,
      1.074314130504667,
      1.0717177164252585,
      1.0691485467022708,
      1.0666061929906385,
      1.0640902367603777,
      1.0616002684199064,
      1.0591358872470484,
      1.056696701263424,
      1.0542823269509205,
      1.051892388658125,
      1.0495265187138065,
      1.0471843573831259,
      1.044865552159054,
      1.042569757812231,
      1.0402966362334922,
      1.0380458562224015,
      1.0358170930180455,
      1.033610028589304,
      1.0314243512103003,
      1.029259755236731,
      1.02711594113377,
      1.0249926152475253,
      1.0228894896759129,
      1.0208062818323171,
      1.018742714668582,
      1.0166985166924052,
      1.0146734214244308,
      1.012667167515071,
      1.010679498452741,
      1.0087101624745116,
      1.0067589124243947,
      1.004825505967174,
      1.0029097050889157,
      1.0010112761563812,
      0.9991299896705021,
      0.9972656205277282,
      0.9954179475690128,
      0.9935867535352795,
      0.9917718251748705,
      0.9899729530456036,
      0.9881899312660843,
      0.9864225392607343,
      0.9846705001020447,
      0.9829335403340042,
      0.98121140429971,
      0.979503851664133,
      0.9778106554198921,
      0.9761316000667476,
      0.9744664801141782,
      0.9728150990567073,
      0.9711772681075485,
      0.9695528052993596,
      0.9679415347461632,
      0.9663432859128659,
      0.9647578932468821,
      0.9631851958155585,
      0.9616250367447654,
      0.9600772629667614,
      0.9585417246661471,
      0.9570182753389018,
      0.9555067717522001,
      0.9540070735508795,
      0.9525190430185861,
      0.951042544942462,
      0.9495774466824601,
      0.9481236178354921,
      0.946680930256615,
      0.9452492582343637,
      0.9438284779553305,
      0.9424184676308894,
      0.9410191075228815,
      0.9396302797163589,
      0.9382518681982905,
      0.9368837587845328,
      0.9355258390476902,
      0.9341779982968053,
      0.932840127456198,
      0.9315121191990838,
      0.9301938677774253,
      0.9288852689539259,
      0.9275862200874169,
      0.9262966200666457,
      0.9250163691939667,
      0.9237453692221482,
      0.9224835233922216,
      0.9212307363703602,
      0.9199869140330507,
      0.9187519636597279,
      0.9175257939225949,
      0.9163083148268447,
      0.9150994373465038,
      0.9138990739248812,
      0.9127071383660682,
      0.9115235455240926,
      0.9103482113484342,
      0.9091810530320474,
      0.9080219888549794,
      0.9068709383338284,
      0.9057278218637195,
      0.9045925611744584,
      0.9034650789228139,
      0.9023452986927416,
      0.9012331452502838,
      0.9001285442907313,
      0.8990314225935153,
      0.8979417078726825,
      0.8968593287298703,
      0.8957842147603697,
      0.89471629640599,
      0.8936555051641508,
      0.8926017733912449,
      0.89155503415766,
      0.8905152215607861,
      0.8894822704796725,
      0.8884561165844794,
      0.8874366964993148,
      0.8864239475588227,
      0.8854178078198148,
      0.8844182161752144,
      0.8834251123160992,
      0.8824384366943746,
      0.8814581305373268,
      0.8804841359134649,
      0.8795163953925311,
      0.8785548523162259,
      0.8775994507132137,
      0.8766501353677711,
      0.8757068516856072,
      0.8747695456618766,
      0.8738381640533404,
      0.8729126543478338,
      0.8719929645309635,
      0.8710790433111621,
      0.8701708398875836,
      0.8692683042780497,
      0.8683713868849853,
      0.8674800386209593,
      0.8665942111365864,
      0.8657138567439445,
      0.8648389281883758,
      0.8639693787257509,
      0.8631051621492096,
      0.8622462505706071,
      0.8613926389233836,
      0.8605443183809892,
      0.8597012737834356,
      0.8588634851154884,
      0.8580309284631221,
      0.8572035765015743,
      0.8563813990251157,
      0.8555643640793428,
      0.8547524380198317,
      0.8539455858203285,
      0.8531437714276966,
      0.852346958164528,
      0.8515551086206141,
      0.8507681850506622,
      0.8499861496179948,
      0.8492089643830755,
      0.8484365912400671,
      0.8476689920052194,
      0.8469061288096117,
      0.8461479638815411,
      0.845394459583181,
      0.8446455785484429,
      0.8439012837195625,
      0.8431615382819649,
      0.8424263057009956,
      0.8416955498097486,
      0.8409692347957207,
      0.8402473250348381,
      0.8395297852821435,
      0.8388165808116069,
      0.8381076770482508,
      0.8374030397598601,
      0.8367026349946521,
      0.8360064293244528,
      0.8353143896310635,
      0.8346264830961254,
      0.833942677191758,
      0.8332629397730119,
      0.8325872390183081,
      0.8319155433194513,
      0.8312478214262109,
      0.830584042489541,
      0.829924175902025,
      0.8292681914949477,
      0.8286160592267666,
      0.8279677495336365,
      0.8273232330188975,
      0.8266824807533328,
      0.8260454639149392,
      0.825412154141002,
      0.8247825231683277,
      0.8241565431353486,
      0.8235341864776463,
      0.8229154257729181,
      0.8223002339931834,
      0.8216885843509154,
      0.8210804502468096,
      0.8204758056249222,
      0.8198746244133189,
      0.8192768808800045,
      0.8186825494806166,
      0.8180916050628066,
      0.8175040224603337,
      0.8169197768504086,
      0.8163388439080768,
      0.8157611994528172,
      0.8151868193495793,
      0.8146156797659496,
      0.8140477572262562,
      0.8134830283104582,
      0.8129214699631993,
      0.8123630591928962,
      0.8118077733308885,
      0.8112555898840393,
      0.8107064865906851,
      0.8101604413249117,
      0.8096174322041149,
      0.8090774375951811,
      0.8085404362740485,
      0.8080064069244774,
      0.8074753283998202,
      0.8069471798828918,
      0.8064219408432086,
      0.8058995907912403,
      0.8053801093889137,
      0.8048634766617965,
      0.8043496727032219,
      0.8038386777350259,
      0.8033304722188633,
      0.8028250366627727,
      0.8023223519367318,
      0.8018223990799238,
      0.8013251592610303,
      0.8008306138914585,
      0.8003387444335522,
      0.7998495324123903,
      0.799362959631288,
      0.7988790080821091,
      0.798397659907333,
      0.7979188974639074,
      0.7974427032347747,
      0.7969690599443812,
      0.7964979502673005,
      0.7960293571474969,
      0.795563263710795,
      0.7950996532289671,
      0.7946385089309246,
      0.7941798143227822,
      0.7937235531524192,
      0.7932697092726263,
      0.7928182665044352,
      0.7923692090599204,
      0.7919225212028018,
      0.7914781870617021,
      0.7910361910533534,
      0.7905965178484924,
      0.7901591521859138,
      0.7897240789916546,
      0.7892912833969605,
      0.7888607504513087,
      0.7884324652930803,
      0.7880064133711616,
      0.787582580311175,
      0.7871609516802168,
      0.7867415131586869,
      0.7863242505592019,
      0.7859091499477917,
      0.7854961975622731,
      0.7850853796797737,
      0.7846766825356031,
      0.7842700924449163,
      0.7838655959756142,
      0.7834631797658751,
      0.783062830646671,
      0.782664535561482,
      0.7822682815369676,
      0.7818740555521178,
      0.7814818447632357,
      0.7810916364748994,
      0.7807034181113716,
      0.7803171772899038,
      0.7799329016401043,
      0.7795505787759786,
      0.7791701963694915,
      0.7787917424277837,
      0.7784152049604824,
      0.7780405721051706,
      0.7776678319985791,
      0.777296973003791,
      0.7769279834801845,
      0.7765608519093355,
      0.7761955667668554,
      0.7758321166995118,
      0.7754704904990493,
      0.7751106769236094,
      0.774752665028212,
      0.774396443732318,
      0.7740420020995727,
      0.7736893294650438,
      0.7733384151053717,
      0.7729892482139105,
      0.7726418180790838,
      0.7722961142628806,
      0.7719521263222734,
      0.7716098439373262,
      0.7712692569891355,
      0.7709303552816005,
      0.7705931286704448,
      0.7702575671410634,
      0.7699236605305965,
      0.7695913991656352,
      0.7692607732796822,
      0.7689317731429383
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183530437487113,
      10.995560499391845,
      10.798049395139195,
      10.592548453007584,
      10.380579809043008,
      10.163777629571998,
      9.943732095674509,
      9.721869808885325,
      9.499537852845815,
      9.278023769270757,
      9.058524800082484,
      8.842094119757583,
      8.629616556770902,
      8.421791704926836,
      8.219124415985133,
      8.02192634343747,
      7.8303270011782065,
      7.644292096632352,
      7.46364665002588,
      7.288100560185671,
      7.117274653240876,
      6.950726292928849,
      6.787972617043995,
      6.628509324505605,
      6.471828802784175,
      6.317437665422015,
      6.164868821548451,
      6.013685199563278,
      5.863491662700697,
      5.713947525909492,
      5.564773393814781,
      5.415750173094708,
      5.266719632376328,
      5.117584147936858,
      4.968315496362921,
      4.8189646628185345,
      4.669660808357011,
      4.520608260497179,
      4.372075432279844,
      4.224371568501126,
      4.077843729721039,
      3.9328834964427593,
      3.7899217946858035,
      3.6494201320266892,
      3.511861604792739,
      3.3777298852313495,
      3.247487963566526,
      3.121565593744706,
      3.0003499237306364,
      2.8841783382990824,
      2.7733336406923232,
      2.668041536271414,
      2.5684702441520484,
      2.4747333235689317,
      2.3868982321111343,
      2.304989959984033,
      2.2289913386559164,
      2.1588446386025946,
      2.094443931451777,
      2.0356352945627227,
      1.9822278054541764,
      1.9340171571488545,
      1.8907631115417824,
      1.8521218151978731,
      1.817647532633095,
      1.786846232954503,
      1.7591903587926816,
      1.7341452367041192,
      1.711254734766942,
      1.6901813150251364,
      1.6706668542440186,
      1.6525100511859456,
      1.6355457229116133,
      1.6196333198979873,
      1.6046501983346317,
      1.590489237216123,
      1.5770560481745621,
      1.5642674935837542,
      1.5520520949705718,
      1.5403485508813577,
      1.52910421150261,
      1.5182737819825862,
      1.5078182209131987,
      1.4977038050253666,
      1.48790133526751,
      1.4783854630967042,
      1.4691341195508794,
      1.4601280302156934,
      1.4513503048274332,
      1.4427860886448318,
      1.4344222671957858,
      1.4262472158207973,
      1.4182505870486937,
      1.4104231307219295,
      1.402756540731537,
      1.395243425342716,
      1.3878772405159938,
      1.3806520261083668,
      1.3735623079220107,
      1.3666030377052603,
      1.3597695413522688,
      1.353057474632445,
      1.346462785011853,
      1.3399816874822896,
      1.333610704997994,
      1.3273466029486685,
      1.3211863088135742,
      1.3151268984035709,
      1.3091655837513305,
      1.3032997020066541,
      1.2975267064718747,
      1.291844157961583,
      1.2862497178228887,
      1.2807411405947497,
      1.2753162684548203,
      1.2699730255823936,
      1.2647094134662875,
      1.2595235061495118,
      1.2544134466916126,
      1.2493774432811227,
      1.244413765667177,
      1.2395207423250818,
      1.234696757294499,
      1.229940247765517,
      1.225249701503642,
      1.2206236545261004,
      1.216060689086587,
      1.2115594316174418,
      1.207118550685377,
      1.2027367569488574,
      1.1984128272018022,
      1.1941455920109951,
      1.1899339086052492,
      1.185776660598336,
      1.1816727584012974,
      1.1776211391090432,
      1.173620765967392,
      1.1696706280855829,
      1.165769740296518,
      1.1619171423539492,
      1.158111898589166,
      1.1543530969111568,
      1.1506399280833564,
      1.146971678973945,
      1.1433476333942185,
      1.1397670717686332,
      1.1362292748019944,
      1.1327335263728915,
      1.129279115761117,
      1.1258653396216098,
      1.1224915032512104,
      1.1191569220687219,
      1.1158609221927636,
      1.112602841443252,
      1.109382029904508,
      1.1061978496976053,
      1.1030496751325718,
      1.0999368925816668,
      1.0968588872041771,
      1.0938150486002227,
      1.0908047832985661,
      1.0878275138535853,
      1.0848826778810905,
      1.0819697275412221,
      1.0790881285533727,
      1.076237360014454,
      1.0734169137500156,
      1.0706262938086546,
      1.0678650158964775,
      1.0651326070574139,
      1.0624286050906817,
      1.0597525585708296,
      1.0571040259443465,
      1.05448257563683,
      1.0518877855932565,
      1.0493192429645515,
      1.0467765437878715,
      1.0442592927625451,
      1.0417671031223794,
      1.039299596248121,
      1.0368564016313913,
      1.034437156477749,
      1.0320415055599017,
      1.0296691009142012,
      1.027319601583703,
      1.0249926737647577,
      1.0226879900852848,
      1.0204052298460868,
      1.01814407895419,
      1.0159042292936764,
      1.0136853788570082,
      1.0114872315683603,
      1.0093094970031096,
      1.007151890613734,
      1.0050141332927958,
      1.002895951239222,
      1.0007970758739937,
      0.9987172436013597,
      0.9966561957719665,
      0.9946136788483944,
      0.9925894437559053,
      0.9905832318040255,
      0.9885947231242206,
      0.9866235910485066,
      0.984669530150181,
      0.9827322534406984,
      0.9808114894940486,
      0.9789069807133018,
      0.977018481668263,
      0.9751457571956744,
      0.9732885812756382,
      0.9714467362246797,
      0.9696200117971037,
      0.9678082043962362,
      0.9660111162419628,
      0.9642285551030904,
      0.9624603336278885,
      0.9607062689835681,
      0.9589661828046877,
      0.9572399007376556,
      0.955527252140482,
      0.9538280697339738,
      0.9521421897631769,
      0.9504694516521404,
      0.9488096978129059,
      0.9471627736591152,
      0.9455285272141669,
      0.9439068091779069,
      0.9422974728924867,
      0.9407003743094576,
      0.9391153717035012,
      0.937542325742983,
      0.9359810994595278,
      0.9344315580152599,
      0.9328935687754548,
      0.9313670012299436,
      0.9298517271183319,
      0.9283476200986881,
      0.9268545555692291,
      0.9253724111518485,
      0.9239010661591633,
      0.9224404017235281,
      0.9209903011300524,
      0.9195506492354855,
      0.9181213324977741,
      0.9167022391587049,
      0.9152932593258383,
      0.9138942845466785,
      0.912505207943121,
      0.9111259241934022,
      0.9097563298713405,
      0.9083963227187194,
      0.9070458020876956,
      0.9057046687227283,
      0.9043728247469228,
      0.9030501738522395,
      0.9017366210331137,
      0.9004320726259809,
      0.8991364364003349,
      0.8978496212437026,
      0.8965715373558595,
      0.8953020963421046,
      0.8940412107988416,
      0.8927887947133714,
      0.8915447633053051,
      0.8903090328687709,
      0.8890815210223233,
      0.8878621462474674,
      0.886650828292444,
      0.8854474880175048,
      0.8842520471899262,
      0.883064428737512,
      0.8818845565959298,
      0.8807123557094336,
      0.8795477520831111,
      0.8783906726834816,
      0.8772410454416034,
      0.8760987991041362,
      0.8749638634917974,
      0.8738361694028951,
      0.8727156483650329,
      0.8716022328959105,
      0.8704958563580404,
      0.8693964530176563,
      0.868303957900902,
      0.8672183069558613,
      0.8661394369101133,
      0.8650672854852092,
      0.8640018079407588,
      0.8629429916345778,
      0.8618908217113035,
      0.8608452754860201,
      0.8598063241305681,
      0.8587739337836984,
      0.8577480666474022,
      0.8567286816145868,
      0.8557157350396929,
      0.8547091813492627,
      0.8537089731886623,
      0.8527150621229238,
      0.8517273987740508,
      0.8507459331584417,
      0.8497706149708663,
      0.8488013936629704,
      0.8478382187746032,
      0.8468810395520694,
      0.8459298055315655,
      0.8449844665622461,
      0.8440449726261802,
      0.8431112742678059,
      0.8421833220574526,
      0.8412610671733912,
      0.8403444612210976,
      0.8394334561549043,
      0.838528004352114,
      0.837628058839874,
      0.8367335730143287,
      0.8358445006143048,
      0.8349607958476477,
      0.8340824136706902,
      0.8332093094072229,
      0.8323414387241569,
      0.8314787581669347,
      0.8306212243733829,
      0.8297687945595725,
      0.8289214263954326,
      0.8280790779319237,
      0.8272417079356293,
      0.8264092754612885,
      0.8255817401369057,
      0.82475906188972,
      0.8239412010796652,
      0.8231281186331877,
      0.8223197758728321,
      0.8215161343469417,
      0.8207171561685966,
      0.8199228039990228,
      0.819133040726618,
      0.8183478297057305,
      0.8175671348436392,
      0.8167909201793708,
      0.8160191500731928,
      0.8152517894470916,
      0.814488803619244,
      0.8137301579863242,
      0.8129758187235678,
      0.8122257521119095,
      0.8114799249341282,
      0.8107383043116908,
      0.8100008576439789,
      0.8092675527005615,
      0.8085383575610333,
      0.8078132405556782,
      0.8070921705621535,
      0.806375116692861,
      0.8056620482877592,
      0.8049529350092016,
      0.8042477469370517,
      0.8035464544102703,
      0.8028490280213713,
      0.8021554387640045,
      0.8014656577231447,
      0.8007796563756261,
      0.8000974065862869,
      0.799418880452066,
      0.7987440502990618,
      0.7980728887814933,
      0.7974053688288039,
      0.7967414635929292,
      0.7960811464977212,
      0.7954243912887129,
      0.794771171879926,
      0.7941214625063068,
      0.793475237723658,
      0.7928324724095933,
      0.7921931413576996,
      0.7915572197363533,
      0.7909246830900252,
      0.790295507189171,
      0.7896696677273051,
      0.789047140933758,
      0.7884279033225327,
      0.7878119314926145,
      0.7871992022843057,
      0.7865896890195583,
      0.7859833530483766,
      0.7853801559220565,
      0.7847800623037721,
      0.7841830393779983,
      0.783589056724602,
      0.7829980856904758,
      0.7824100991219133,
      0.781825071253677,
      0.781242977499491,
      0.7806637942458468,
      0.7800874987503177,
      0.7795140688378009,
      0.7789434829041394,
      0.7783757200224493,
      0.7778107596950123,
      0.7772485820132697,
      0.7766891674122611,
      0.7761324964765314,
      0.7755785502043425,
      0.7750273099166204,
      0.7744787572683886,
      0.7739328742608685,
      0.7733896427966159,
      0.7728490450481803,
      0.7723110636747208,
      0.7717756811747688,
      0.7712428803576898,
      0.7707126443074263,
      0.7701849562446678,
      0.7696597995421519,
      0.7691371575872973,
      0.7686170141029478,
      0.7680993529090695,
      0.7675841579898257,
      0.7670714135101602,
      0.7665611036800086,
      0.7660532129748623,
      0.7655477258986451,
      0.7650446270521096,
      0.7645439013031865,
      0.7640455336523049,
      0.7635495091491851,
      0.7630558129111555,
      0.7625644303451568,
      0.7620753469634247,
      0.7615885482501684,
      0.7611040198333592,
      0.7606217475040917,
      0.7601417173381042,
      0.7596639153599785,
      0.7591883277160008,
      0.7587149406944543,
      0.7582437408481517,
      0.7577747146595737,
      0.7573078486126779,
      0.756843129620767,
      0.7563805445397009,
      0.7559200802405625,
      0.755461723631323,
      0.7550054618309583,
      0.7545512822427092,
      0.7540991721695349,
      0.7536491191420757,
      0.7532011107381492,
      0.7527551346057684,
      0.7523111786388825,
      0.7518692306956941,
      0.7514292786733237,
      0.7509913105821372,
      0.7505553145694157,
      0.750121278943603,
      0.7496891920969547,
      0.7492590425300124,
      0.748830818622254,
      0.7484045090633253,
      0.7479801025220872,
      0.7475575878243244,
      0.7471369539274059,
      0.7467181896404387,
      0.7463012842092824,
      0.7458862267324352,
      0.7454730063394014,
      0.7450616122673305,
      0.7446520340909628,
      0.7442442612404647,
      0.7438382832316406,
      0.7434340897943578,
      0.7430316705945023,
      0.7426310153116524,
      0.7422321138696854,
      0.7418349563115492,
      0.7414395326235182,
      0.7410458327629218,
      0.7406538470927171,
      0.7402635657991173,
      0.7398749793269105,
      0.7394880779499601,
      0.7391028521556579,
      0.7387192925206028,
      0.738337389536225
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183513398323568,
      10.995513315678698,
      10.797970096356105,
      10.592442597475056,
      10.380462482832845,
      10.163673375770816,
      9.943663848842878,
      9.721859048437857,
      9.499606202675007,
      9.278192517528554,
      9.058813936912212,
      8.842522096512562,
      8.630199997128411,
      8.422545210942118,
      8.220060552068944,
      8.023055771676043,
      7.831658729082469,
      7.645833796358804,
      7.465405013458389,
      7.290081653972005,
      7.119484251127418,
      6.9531707298689875,
      6.790658723220568,
      6.631444313888183,
      6.475020073398924,
      6.320892495144156,
      6.168595609295525,
      6.0176939561546865,
      5.8677925602061,
      5.7185506670394,
      5.56968851921595,
      5.420987840779958,
      5.272291422656705,
      5.123501893051956,
      4.974588757889953,
      4.825600317794358,
      4.6766626577788575,
      4.527976687909619,
      4.379808637185186,
      4.23246846835388,
      4.086302656137796,
      3.9416983412244955,
      3.7990821170664164,
      3.658910575471985,
      3.521661226772095,
      3.3878145694562463,
      3.257831647226793,
      3.132140905090429,
      3.011128815345835,
      2.8951326828860533,
      2.784435763705461,
      2.679264666036925,
      2.5797888686575865,
      2.486124229732763,
      2.398340708423893,
      2.316465515440018,
      2.2404830776767057,
      2.170334644669363,
      2.105911991830908,
      2.0470597826824344,
      1.9935880870415652,
      1.945294035074383,
      1.9019354110956057,
      1.8631654890927,
      1.8285374296538053,
      1.7975580126374229,
      1.7697013106039086,
      1.7444349333607898,
      1.7213039516744257,
      1.6999719688984563,
      1.6801821531347867,
      1.6617340969486163,
      1.6444643260512863,
      1.6282356607867523,
      1.6129285305075143,
      1.598438728545077,
      1.584675152457977,
      1.5715572160509717,
      1.559014387002023,
      1.5469861353820302,
      1.5354204333578465,
      1.5242724812484978,
      1.5135036249631006,
      1.503080437338037,
      1.49297393857985,
      1.4831589350325425,
      1.4736134584093705,
      1.4643182905107555,
      1.45525655949687,
      1.446413398631828,
      1.4377756563254727,
      1.429331650639525,
      1.4210709604424456,
      1.4129842490575997,
      1.4050631140209555,
      1.397300032978943,
      1.3896883520429295,
      1.3822220116041908,
      1.3748954333188819,
      1.3677034611124375,
      1.3606413108393205,
      1.3537045272214014,
      1.3468889468342382,
      1.340190666312345,
      1.3336060465775887,
      1.327131741661563,
      1.320764589763589,
      1.314501577047987,
      1.3083398257969605,
      1.302276584406783,
      1.29630921843189,
      1.2904352028457597,
      1.2846521144666683,
      1.2789576256303232,
      1.2733494982580196,
      1.2678255783332801,
      1.2623837913065543,
      1.2570221378801067,
      1.2517386897759073,
      1.2465315863616546,
      1.2413990309226368,
      1.2363392873509245,
      1.231350677768398,
      1.2264315793110963,
      1.2215804217602042,
      1.2167956852124813,
      1.212075897796266,
      1.2074196337952336,
      1.2028255115750122,
      1.198292191877207,
      1.1938183760791625,
      1.1894028043222098,
      1.1850442540211739,
      1.180741541861873,
      1.1764935459316979,
      1.1722991887573628,
      1.1681574161797326,
      1.1640671974239483,
      1.1600275259694897,
      1.1560374378065725,
      1.152096099113456,
      1.148202729323821,
      1.1443565407391687,
      1.1405567435246327,
      1.1368025493036935,
      1.133093174378132,
      1.129427842122447,
      1.1258057848636107,
      1.122226245200354,
      1.1186884773772312,
      1.1151917484121636,
      1.1117353382184767,
      1.108318540402793,
      1.104940662470318,
      1.1016010257959414,
      1.0982989660755333,
      1.095033833191539,
      1.0918049778284493,
      1.08861175365762,
      1.0854535323531345,
      1.082329702873844,
      1.079239670886878,
      1.076182857467017,
      1.0731586989543695,
      1.070166645732745,
      1.0672061619637188,
      1.0642767246485003,
      1.0613778236460156,
      1.0585089609691387,
      1.0556696502754865,
      1.0528594163486438,
      1.0500777949779017,
      1.0473243322700718,
      1.044598584512945,
      1.0419001177766205,
      1.0392285080165773,
      1.0365833403057254,
      1.0339642085684233,
      1.031370715613494,
      1.0288024723988438,
      1.0262590984090414,
      1.0237402210109006,
      1.0212454755164948,
      1.018774504631066,
      1.0163269584055392,
      1.013902494133744,
      1.0115007759409085,
      1.0091214748260497,
      1.006764268447367,
      1.0044288405984838,
      1.0021148816486745,
      0.9998220881155341,
      0.9975501623881462,
      0.9952988102096437,
      0.9930676786319068,
      0.9908563786303566,
      0.9886645466522617,
      0.9864918409787976,
      0.984337939138875,
      0.9822025350957376,
      0.9800853370661509,
      0.9779860658665713,
      0.9759044534780404,
      0.9738402420816779,
      0.9717931824438677,
      0.9697630334291459,
      0.9677495611134214,
      0.9657525383102087,
      0.9637717437461346,
      0.9618069618508562,
      0.9598579820418467,
      0.9579245987241706,
      0.9560066108348689,
      0.9541038216948082,
      0.9522160387606261,
      0.9503430732258931,
      0.9484847399791357,
      0.9466408575122524,
      0.9448112477284245,
      0.9429957356998889,
      0.9411941497315567,
      0.9394063210695202,
      0.9376320839659823,
      0.9358712757450787,
      0.9341237363608546,
      0.9323893086169627,
      0.9306678378786718,
      0.9289591720392655,
      0.9272631616398254,
      0.9255796594811179,
      0.9239085208459346,
      0.9222496033155563,
      0.9206027668917409,
      0.9189678737633815,
      0.917344788175807,
      0.9157333766560274,
      0.9141335078832983,
      0.9125450525092857,
      0.9109678831313994,
      0.9094018743682349,
      0.9078469027326027,
      0.9063028466576265,
      0.904769586625305,
      0.9032470046348022,
      0.9017349847393558,
      0.9002334125668129,
      0.8987421754510653,
      0.8972611625132785,
      0.8957902643881163,
      0.8943293733570985,
      0.8928783834322017,
      0.8914371899824848,
      0.8900056901242601,
      0.8885837822983934,
      0.8871713664077143,
      0.8857683437514625,
      0.8843746170623555,
      0.8829900905952084,
      0.8816146700640034,
      0.8802482622748291,
      0.8788907755728538,
      0.8775421194257168,
      0.8762022045162283,
      0.8748709427845205,
      0.8735482475730263,
      0.8722340334164753,
      0.8709282157815443,
      0.8696307115191164,
      0.8683414387074003,
      0.867060316292283,
      0.8657872713576924,
      0.8645222718060918,
      0.8632652982374829,
      0.8620163216120905,
      0.8607753048494117,
      0.8595422045573268,
      0.8583169721841143,
      0.857099554952412,
      0.8558898968826653,
      0.8546879393996163,
      0.8534936221345687,
      0.8523068834156977,
      0.8511276604487715,
      0.8499558894928726,
      0.8487915064904537,
      0.84763444728767,
      0.8464846475989837,
      0.8453420430204913,
      0.8442065696012031,
      0.8430781637016613,
      0.8419567621066287,
      0.8408423018826312,
      0.8397347208457772,
      0.8386339572666579,
      0.8375399498807411,
      0.8364526379998686,
      0.8353719619297494,
      0.8342978622693171,
      0.833230280277928,
      0.8321691579887172,
      0.8311144380683237,
      0.8300660638809871,
      0.8290239792473142,
      0.8279881287637297,
      0.8269584575114612,
      0.8259349114276158,
      0.8249174371175394,
      0.8239059817697514,
      0.8229004930714319,
      0.8219009193277435,
      0.8209072095815915,
      0.8199193134292814,
      0.8189371810911473,
      0.8179607632280876,
      0.816990011166019,
      0.8160248766627065,
      0.8150653121332072,
      0.8141112706213578,
      0.8131627054672069,
      0.8122195708901138,
      0.8112818215555901,
      0.8103494125496662,
      0.8094222993538255,
      0.8085004382270146,
      0.8075837857747158,
      0.8066722990275673,
      0.8057659356216044,
      0.8048646432457993,
      0.8039683562320571,
      0.80307701180129,
      0.802190551712067,
      0.8013089213267796,
      0.8004320692467626,
      0.7995599467008974,
      0.7986925071951272,
      0.7978297063199639,
      0.7969715015124375,
      0.7961178515677108,
      0.7952687164590925,
      0.7944240574153487,
      0.7935838365934131,
      0.7927480171095558,
      0.7919165627670729,
      0.7910894381417827,
      0.7902666086178471,
      0.7894480399167954,
      0.7886336985936526,
      0.7878235515170839,
      0.7870175659096063,
      0.7862157096938763,
      0.7854179510767811,
      0.7846242586429526,
      0.78383460144882,
      0.7830489491174933,
      0.782267271476752,
      0.7814895385535087,
      0.7807157208225906,
      0.7799457891004111,
      0.7791797144899317,
      0.7784174684276548,
      0.7776590226296667,
      0.7769043490378266,
      0.7761534201223765,
      0.7754062084225738,
      0.7746626867993814,
      0.773922828536087,
      0.7731866070834507,
      0.7724539960086866,
      0.7717249693003699,
      0.7709995012162947,
      0.7702775663355401,
      0.7695591392545749,
      0.7688441948936537,
      0.7681327084988846,
      0.7674246555937518,
      0.7667200118800023,
      0.7660187533427207,
      0.7653208561520279,
      0.7646262967686865,
      0.7639350517957006,
      0.7632470981863969,
      0.7625624128422431,
      0.7618809731774516,
      0.761202756717691,
      0.7605277412077396,
      0.7598559045668871,
      0.7591872247935665,
      0.7585216803789085,
      0.7578592498563372,
      0.7571999121142202,
      0.7565436460989975,
      0.7558904308229898,
      0.7552402456779159,
      0.7545930702401022,
      0.7539488841780685,
      0.7533076675668107,
      0.7526694004401475,
      0.7520340630548933,
      0.7514016358500962,
      0.7507720995083741,
      0.7501454348142894,
      0.7495216228180858,
      0.7489006446437392,
      0.7482824816531713,
      0.747667115305482,
      0.7470545274237911,
      0.7464446998011024,
      0.7458376142637795,
      0.7452332530912034,
      0.7446315987243305,
      0.7440326335759708,
      0.7434363402482232,
      0.7428427015464909,
      0.7422517003411654,
      0.7416633198367217,
      0.7410775431798353,
      0.7404943537797116,
      0.7399137351199462,
      0.7393356707741748,
      0.7387601445743663,
      0.7381871404743626,
      0.7376166425664054,
      0.7370486351994923,
      0.7364831027422937,
      0.7359200297020083,
      0.7353594006909145,
      0.7348012003929515,
      0.734245413785102,
      0.7336920257993861,
      0.7331410215442998,
      0.7325923864251817,
      0.732046105705355,
      0.7315021648808642,
      0.7309605496487612,
      0.7304212457229952,
      0.7298842390067107,
      0.7293495154084322,
      0.7288170611673643,
      0.728286862517647,
      0.72775890581075,
      0.7272331775359259,
      0.7267096642396997,
      0.7261883525467429,
      0.7256692293336154,
      0.7251522814452148,
      0.724637495818124,
      0.7241248596548873,
      0.7236143601411752,
      0.723105984518587,
      0.7225997203107526,
      0.7220955549388912,
      0.721593476100833,
      0.7210934713869086,
      0.7205955287101401,
      0.7200996360243384,
      0.719605781297004,
      0.7191139526347533,
      0.7186241383071768,
      0.7181363265676031,
      0.7176505058299788,
      0.717166664489873,
      0.7166847912031441,
      0.7162048744531162,
      0.7157269031857413,
      0.7152508662246195,
      0.7147767523981061,
      0.71430455071699,
      0.7138342503494106,
      0.7133658404433141,
      0.7128993102540869,
      0.7124346490689847,
      0.7119718463348935,
      0.7115108916339181,
      0.711051774532144,
      0.7105944847846353,
      0.7101390121077865,
      0.7096853463084758,
      0.709233477285594,
      0.708783395108323,
      0.708335087907357,
      0.7078885389960542,
      0.7074437318139554,
      0.7070006510786481,
      0.706559282492193,
      0.7061196128570195
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.18349531107852,
      10.995462108473937,
      10.79788172736167,
      10.592320516046868,
      10.380319541208799,
      10.163531614964999,
      9.943543841510872,
      9.721780075441087,
      9.499587937491496,
      9.278254553197378,
      9.05897492497308,
      8.842799234952958,
      8.630608836456489,
      8.423099428922916,
      8.22077190037145,
      8.023934168897098,
      7.832712467408039,
      7.647069825695,
      7.466829264398262,
      7.291699372015128,
      7.121300503309735,
      6.955191005886031,
      6.792888709951868,
      6.633890010808786,
      6.477687874813928,
      6.323788675704554,
      6.1717270699056925,
      6.02106920908899,
      5.871420595309611,
      5.722440534763148,
      5.573849091710703,
      5.425428980319218,
      5.2770241120435895,
      5.128537559208209,
      4.979937045663589,
      4.831268654846524,
      4.682655901508334,
      4.5342968085532185,
      4.386455444566513,
      4.2394415863038635,
      4.09360205467727,
      3.9493213756496095,
      3.8070222413999093,
      3.667156794241685,
      3.530197676643535,
      3.396622023866593,
      3.266888908193509,
      3.141425338847727,
      3.020616892225681,
      2.9048004941505714,
      2.794259491409513,
      2.6892209888371736,
      2.589855291674757,
      2.4962802171832466,
      2.4085678705300078,
      2.326746971553866,
      2.2508031611062647,
      2.180675271421352,
      2.1162529089686073,
      2.057379803569892,
      2.0038668156478856,
      1.9555122327029728,
      1.9120715559430745,
      1.8731947785455583,
      1.838433750361194,
      1.807295923875255,
      1.7792568984769852,
      1.753786717256858,
      1.7304320787410918,
      1.7088581088283654,
      1.6888094694005775,
      1.6700876898201857,
      1.6525302425284654,
      1.636002593707942,
      1.6203880853228132,
      1.6055853739999812,
      1.5915058647124152,
      1.5780720911510506,
      1.565215297696146,
      1.5528756942664843,
      1.5410018489611588,
      1.5295494351622776,
      1.5184801675532829,
      1.5077609001129026,
      1.4973628605086513,
      1.4872610005439457,
      1.4774334454348454,
      1.4678610271640786,
      1.4585268888658018,
      1.4494161492939637,
      1.4405156185555872,
      1.4318135572722863,
      1.4232994715191662,
      1.4149639394472637,
      1.4067984641813651,
      1.3987954078743476,
      1.390948012643866,
      1.383250119999761,
      1.3756960480832794,
      1.3682805346716707,
      1.3609986880252547,
      1.35384594450933,
      1.3468180325264798,
      1.3399109418322392,
      1.3331208991331869,
      1.3264444179591848,
      1.3198782510303968,
      1.3134192983260171,
      1.3070645962539342,
      1.3008113080265633,
      1.2946567154676536,
      1.2885982110476133,
      1.282633290876515,
      1.2767595483653675,
      1.2709746686717776,
      1.2652764233341773,
      1.259662665462539,
      1.254131325599746,
      1.2486804077562674,
      1.2433079855272202,
      1.238012198657025,
      1.2327912500615312,
      1.2276434024004563,
      1.2225669757337478,
      1.2175603446933851,
      1.2126219363982689,
      1.207750227745677,
      1.2029437435097414,
      1.1982010544898962,
      1.1935207753594628,
      1.1889015630325634,
      1.1843421147415096,
      1.179841166540511,
      1.1753974919353471,
      1.1710099003383065,
      1.1666772358606214,
      1.1623983757343446,
      1.158172266106933,
      1.1539980317184169,
      1.1498748378413786,
      1.1458018399675747,
      1.1417781891413104,
      1.1378030364892744,
      1.1338755371594063,
      1.129994853372648,
      1.1261601562886605,
      1.1223706281669996,
      1.1186254633025337,
      1.11492386952074,
      1.111265068812866,
      1.1076482978772895,
      1.104072808570864,
      1.1005378682223788,
      1.0970427593533056,
      1.0935867801299932,
      1.0901692439225588,
      1.086789468561355,
      1.083446773329917,
      1.0801404951416231,
      1.076869989841798,
      1.0736346309540623,
      1.0704338086674352,
      1.0672669294208017,
      1.064133415118683,
      1.0610327020806278,
      1.05796424069076,
      1.0549274945776481,
      1.0519219402915572,
      1.0489470670730046,
      1.0460023760007935,
      1.0430873795876274,
      1.0402016015699358,
      1.037344576790592,
      1.0345158503101948,
      1.0317149773750534,
      1.0289415229192989,
      1.0261950616194178,
      1.0234751774842599,
      1.0207814633366503,
      1.018113520746858,
      1.015470959603642,
      1.0128533981883776,
      1.0102604628883167,
      1.0076917877522305,
      1.0051470143464554,
      1.0026257916575407,
      1.000127775888808,
      0.9976525811648657,
      0.995199762215933,
      0.992768892574529,
      0.9903595718108431,
      0.9879714215654566,
      0.9856040830356454,
      0.9832572146893596,
      0.9809304898983049,
      0.9786235951981989,
      0.9763362289182647,
      0.9740680999749869,
      0.9718189268277735,
      0.9695884365438259,
      0.9673763639709396,
      0.9651824513221896,
      0.9630064475107506,
      0.9608481076913726,
      0.9587071928556984,
      0.9565834692769778,
      0.9544767085670544,
      0.9523866870732574,
      0.9503131859890943,
      0.9482559907025114,
      0.9462148910606875,
      0.9441896809234858,
      0.9421801579715516,
      0.940186123871016,
      0.9382073837775389,
      0.9362437463490386,
      0.9342950238095096,
      0.932361032013637,
      0.9304415896980814,
      0.9285365187500569,
      0.9266456441706538,
      0.9247687940897159,
      0.9229057993740543,
      0.9210564939480376,
      0.919220714402698,
      0.9173983001646216,
      0.9155890932075214,
      0.9137929381709596,
      0.9120096821744984,
      0.9102391748865687,
      0.9084812684411111,
      0.9067358173042099,
      0.9050026781916773,
      0.9032817102925862,
      0.9015727750356092,
      0.8998757359070847,
      0.8981904585743364,
      0.8965168107554673,
      0.8948546622930095,
      0.893203885126822,
      0.8915643529623558,
      0.8899359416006175,
      0.8883185286585185,
      0.8867119937985865,
      0.8851162183998528,
      0.8835310856875646,
      0.8819564806089821,
      0.880392289811621,
      0.8788384014187143,
      0.8772947054663003,
      0.8757610936291762,
      0.8742374591004931,
      0.8727236966752646,
      0.8712197026821776,
      0.8697253748652518,
      0.8682406125711948,
      0.8667653261948338,
      0.8652994749944816,
      0.8638430293679025,
      0.8623959485765146,
      0.8609581830621084,
      0.8595296761277238,
      0.8581103652423117,
      0.8567001832777459,
      0.8552990595790962,
      0.8539069208711282,
      0.8525236917488417,
      0.8511492952621004,
      0.8497836535450841,
      0.8484266879829713,
      0.8470783196292152,
      0.8457384692635658,
      0.8444070578540573,
      0.8430840067123323,
      0.8417692374951251,
      0.8404626723061901,
      0.8391642338483085,
      0.8378738454731867,
      0.8365914312820006,
      0.8353169159714006,
      0.8340502250354369,
      0.832791284815251,
      0.8315400224980202,
      0.8302963662183178,
      0.8290602448548233,
      0.8278315879799009,
      0.8266103262166681,
      0.8253963908334461,
      0.8241897117623016,
      0.8229901994323808,
      0.8217977558041332,
      0.8206122895508284,
      0.819433714822491,
      0.8182619505321842,
      0.817096919703903,
      0.8159385488299824,
      0.8147867676942842,
      0.8136415085414295,
      0.8125027058612612,
      0.8113702962292846,
      0.810244217947873,
      0.8091244110467235,
      0.808010816930931,
      0.8069033782856284,
      0.8058020389322049,
      0.8047067436864032,
      0.803617438472471,
      0.8025340701337462,
      0.8014565864483321,
      0.8003849358918573,
      0.7993190675536105,
      0.7982589314097789,
      0.7972044781907404,
      0.7961556593004583,
      0.7951124267877914,
      0.7940747331148831,
      0.7930425316891584,
      0.7920157762774206,
      0.7909944212852993,
      0.7899784216303485,
      0.7889677327684302,
      0.7879623108224002,
      0.7869621122540957,
      0.7859670940959067,
      0.7849772137761472,
      0.7839924294028127,
      0.7830126994886019,
      0.7820379830325237,
      0.7810682395513007,
      0.780103428958779,
      0.7791435115982709,
      0.7781884482757216,
      0.7772382001912431,
      0.7762927290241892,
      0.7753519967132895,
      0.7744159658983383,
      0.7734845994983831,
      0.7725578607988551,
      0.771635713589728,
      0.7707181219486092,
      0.7698050505836334,
      0.7688964642106456,
      0.7679923280496381,
      0.7670926077617427,
      0.7661972694382692,
      0.7653062794374446,
      0.7644196044759615,
      0.7635372116701657,
      0.7626590684249706,
      0.7617851424249142,
      0.7609154018802093,
      0.7600498151627074,
      0.759188351001738,
      0.7583309785789804,
      0.7574776672166637,
      0.756628386676554,
      0.7557831070015187,
      0.7549417987140434,
      0.7541044324047484,
      0.7532709788803283,
      0.7524414093120128,
      0.7516156953333291,
      0.7507938088337611,
      0.7499757219562503,
      0.7491614069931067,
      0.7483508365873175,
      0.7475439836799201,
      0.7467408215091322,
      0.7459413236094511,
      0.7451454636588851,
      0.7443532157332611,
      0.7435645541539092,
      0.7427794534380451,
      0.7419978882999301,
      0.7412198337029912,
      0.7404452650143591,
      0.7396741576002929,
      0.7389064872355461,
      0.738142229750342,
      0.7373813614404544,
      0.7366238587147648,
      0.7358696982520747,
      0.735118857056494,
      0.7343713122079981,
      0.7336270410201257,
      0.7328860210455217,
      0.7321482300307618,
      0.7314136458714908,
      0.7306822466696842,
      0.7299540108419329,
      0.7292289170248094,
      0.7285069439807164,
      0.7277880706056845,
      0.7270722761404749,
      0.7263595399758145,
      0.7256498414574298,
      0.7249431605560184,
      0.7242394772155678,
      0.723538771413926,
      0.722841023528478,
      0.7221462139902589,
      0.7214543234979875,
      0.7207653329269325,
      0.720079216777601,
      0.7193959447950472,
      0.7187154888157125,
      0.7180378225982408,
      0.717362921507167,
      0.7166907623540765,
      0.7160213230389302,
      0.7153545823472596,
      0.7146905197495405,
      0.7140291156605776,
      0.7133703510905944,
      0.7127142076031951,
      0.7120606670206683,
      0.7114097116384375,
      0.7107613241353795,
      0.7101154875869768,
      0.7094721851996448,
      0.7088314005539137,
      0.7081931174162143,
      0.7075573199835968,
      0.7069239924678303,
      0.7062931193155961,
      0.7056646850730528,
      0.7050386746575679,
      0.7044150729941785,
      0.7037938651356502,
      0.7031750362807255,
      0.7025585719199703,
      0.7019444574988674,
      0.7013326786150138,
      0.7007232211393825,
      0.700116071032567,
      0.6995112142124278,
      0.69890863690479,
      0.6983083254603915,
      0.6977102662997142,
      0.6971144459847409,
      0.696520851036561,
      0.6959294682364711,
      0.6953402844694462,
      0.6947532867206314,
      0.694168462020908,
      0.6935857975453401,
      0.6930052806101364,
      0.6924268986188916,
      0.6918506389581779,
      0.6912764892238223,
      0.6907044372438812,
      0.6901344707462385,
      0.6895665776619021,
      0.689000745995981,
      0.6884369637244747,
      0.6878752190723835,
      0.6873155003599707,
      0.686757795900203,
      0.6862020942010498,
      0.6856483837106916,
      0.685096650832855,
      0.6845468776801434,
      0.6839990466589387,
      0.6834531415689024,
      0.682909147053123,
      0.6823670486615672,
      0.6818268327135469,
      0.6812884862640012,
      0.6807519966651381,
      0.6802173518411501,
      0.6796845401318516,
      0.6791535501377912,
      0.6786243706930842,
      0.678096990991629,
      0.6775714003579033,
      0.677047588349216,
      0.6765255448581813,
      0.6760052598347218,
      0.6754867232880176,
      0.6749699253648158,
      0.6744548563010269,
      0.6739415065004039,
      0.6734298665375772,
      0.6729199270088501,
      0.6724116786373222
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.18347649052499,
      10.995407973927001,
      10.797786594275173,
      10.592186116970723,
      10.380157951285529,
      10.163362723857711,
      9.943386161129022,
      9.721650847083515,
      9.499505016432261,
      9.278235925337249,
      9.059037997183566,
      8.842960099094523,
      8.630881986512234,
      8.42349762730309,
      8.221306093764898,
      8.024613548885267,
      7.833544644608878,
      7.648061080296973,
      7.467984843262111,
      7.293023801646638,
      7.122798137881055,
      6.956866529037719,
      6.794746872392525,
      6.635935820910617,
      6.4799267351257726,
      6.3262258827962174,
      6.174368160700908,
      6.023921349401548,
      5.874491837755393,
      5.725739091931766,
      5.5773831423500715,
      5.429207564751997,
      5.281057109106862,
      5.1328355510538195,
      4.984509832893672,
      4.8361242007924,
      4.687800013594932,
      4.539732844164552,
      4.392184570629683,
      4.245464874875106,
      4.099921879857256,
      3.955937925237587,
      3.813932169889502,
      3.674352938937745,
      3.537668276950115,
      3.4043518935664054,
      3.2748608796976337,
      3.1496207121195683,
      3.029015896583357,
      2.913382738626605,
      2.803004381350863,
      2.6981080928251573,
      2.5988646474486963,
      2.5053934219334315,
      2.4177683053036816,
      2.336019144909881,
      2.2601315838104195,
      2.1900413258066065,
      2.125636883349465,
      2.0667608624995966,
      2.0132248344436,
      1.9648280811035277,
      1.9213235374812148,
      1.8823575465111435,
      1.8474804989083025,
      1.8162005705400777,
      1.7879946031746288,
      1.762335232997833,
      1.7387711338582996,
      1.7169691923111916,
      1.6966762977019259,
      1.6776955194458616,
      1.6598651101749344,
      1.643053043345502,
      1.6271455415445568,
      1.6120439642098163,
      1.5976621278129854,
      1.583924817422075,
      1.5707660166795718,
      1.558127045163813,
      1.5459570208551445,
      1.5342120519639153,
      1.5228541906372524,
      1.5118505458790157,
      1.5011725311516824,
      1.4907952257796748,
      1.4806968344278986,
      1.4708582283467555,
      1.461262556677578,
      1.4518949172433833,
      1.442742077461164,
      1.433792237093616,
      1.4250348274385787,
      1.416460341091985,
      1.4080601869866247,
      1.3998266230519794,
      1.391752792318041,
      1.3838324364437016,
      1.3760597706654458,
      1.3684294274090425,
      1.3609364088140894,
      1.3535760450225252,
      1.3463439588891,
      1.3392360356299602,
      1.332248396429774,
      1.325377412459362,
      1.3186197323689128,
      1.3119721735115244,
      1.305431689789343,
      1.298995363111655,
      1.2926603948365556,
      1.286424098487733,
      1.2802838928490308,
      1.2742372960646435,
      1.2682819199978324,
      1.2624154650158064,
      1.256635715316401,
      1.2509405345041105,
      1.2453278618350838,
      1.2397957083281697,
      1.2343421530581944,
      1.2289653404549699,
      1.2236634770916173,
      1.2184348285309445,
      1.2132777169493234,
      1.2081905189866855,
      1.2031716628640963,
      1.1982196263006153,
      1.1933329348296784,
      1.188510159452914,
      1.1837499145519608,
      1.1790508567760918,
      1.174411683334408,
      1.1698311298493176,
      1.165307968946002,
      1.1608410486952954,
      1.1564293781226178,
      1.1520719980518759,
      1.147767948771983,
      1.1435162748827816,
      1.1393160287777868,
      1.135166277705555,
      1.131066126585444,
      1.1270147002491595,
      1.1230111317358833,
      1.119054564812808,
      1.1151441554154242,
      1.1112790726744406,
      1.1074584999405372,
      1.1036816358115433,
      1.0999476946573754,
      1.0962559066973747,
      1.0926055182431094,
      1.0889957918042665,
      1.0854260061621759,
      1.0818954484270833,
      1.0784034048295763,
      1.0749491783183236,
      1.0715320919889986,
      1.0681514876661835,
      1.0648067251316216,
      1.0614971811843228,
      1.058222248737855,
      1.0549813362591163,
      1.0517738671935604,
      1.0485992789705947,
      1.0454570229624942,
      1.0423465635667013,
      1.0392673779377584,
      1.0362189555553962,
      1.0332007976295512,
      1.0302124169528941,
      1.027253337336955,
      1.0243230934460954,
      1.0214212302159924,
      1.0185473026703582,
      1.0157008755771253,
      1.0128815233011885,
      1.010088829293556,
      1.0073223860824856,
      1.004581795004481,
      1.0018666210129141,
      0.9991763587157089,
      0.9965105194399877,
      0.9938686439141445,
      0.991250298357108,
      0.9886550713114362,
      0.9860825706542996,
      0.9835324213923724,
      0.9810042638807239,
      0.9784977519542638,
      0.9760125514771679,
      0.9735483395117807,
      0.9711048030372851,
      0.9686816381319844,
      0.9662785493638543,
      0.9638952490317414,
      0.961531456816895,
      0.9591868990804105,
      0.9568613086710183,
      0.9545544243273191,
      0.952265990589388,
      0.949995757507486,
      0.9477434802497597,
      0.9455089189135675,
      0.9432918384890249,
      0.9410920086196563,
      0.9389092032612769,
      0.9367432007475984,
      0.9345937836011924,
      0.9324607383956252,
      0.930343855566452,
      0.9282429296290446,
      0.9261577585319445,
      0.9240881438747699,
      0.9220338907696117,
      0.9199948076517819,
      0.9179707063446849,
      0.9159614021247621,
      0.9139667133292892,
      0.9119864614726425,
      0.9100204710575955,
      0.9080685693867909,
      0.906130586882714,
      0.9042063566451572,
      0.9022957147720955,
      0.9003984999179535,
      0.898514553564303,
      0.8966437195280066,
      0.8947858443851207,
      0.8929407770814172,
      0.8911083691029841,
      0.8892884743422715,
      0.8874809488118616,
      0.8856856509179873,
      0.8839024415314353,
      0.8821311834486532,
      0.8803717417182002,
      0.8786239833570697,
      0.8768877777289106,
      0.8751629960584149,
      0.8734495114550722,
      0.8717471991404913,
      0.8700559361681459,
      0.868375601601513,
      0.8667061144393263,
      0.8650474363915744,
      0.8633995200073464,
      0.8617623066940234,
      0.8601357289763472,
      0.8585197121702902,
      0.8569141760357678,
      0.8553190361579855,
      0.8537342045518734,
      0.8521595908140636,
      0.8505951027059504,
      0.8490406465765418,
      0.8474961281853963,
      0.8459614528089785,
      0.8444365255464795,
      0.8429212465863624,
      0.8414154899701797,
      0.8399191238551283,
      0.8384320240388351,
      0.8369540727477169,
      0.835485157897094,
      0.8340251721088475,
      0.8325740122983422,
      0.8311315789645285,
      0.8296977758426989,
      0.8282725098180574,
      0.826855689979786,
      0.8254472277471918,
      0.8240470369995962,
      0.8226550332947227,
      0.8212711339541057,
      0.8198952578461076,
      0.8185273252212696,
      0.8171672579060341,
      0.8158149790403963,
      0.8144704131733186,
      0.8131334859530098,
      0.8118041242254563,
      0.8104822557269781,
      0.8091678092864429,
      0.8078607147741692,
      0.8065609031536283,
      0.8052683063309631,
      0.8039828572090634,
      0.8027044894879242,
      0.8014331378221609,
      0.8001687376233153,
      0.7989112251675233,
      0.7976605376538617,
      0.7964166131106599,
      0.7951793902008681,
      0.7939488084351602,
      0.7927248080293782,
      0.7915073301697428,
      0.7902963165672293,
      0.7890917096733258,
      0.7878934526931679,
      0.7867014894976377,
      0.7855157646886753,
      0.7843362236146064,
      0.7831628121319735,
      0.7819954769779696,
      0.7808341654829907,
      0.7796788253853183,
      0.7785294051546441,
      0.7773858539604125,
      0.776248121539193,
      0.7751161581136641,
      0.7739899146679778,
      0.7728693427152981,
      0.7717543942695884,
      0.7706450218686816,
      0.7695411788011574,
      0.7684428186223025,
      0.7673498956875191,
      0.7662623648727536,
      0.7651801813974297,
      0.7641033011564511,
      0.7630316804421798,
      0.7619652760743165,
      0.760904045275648,
      0.7598479458536341,
      0.758796936077337,
      0.7577509746568646,
      0.7567100207739854,
      0.7556740341135662,
      0.75464297484448,
      0.7536168034997733,
      0.7525954810094218,
      0.7515789688355718,
      0.7505672288030423,
      0.7495602229813043,
      0.7485579141261823,
      0.747560265359309,
      0.7465672401027897,
      0.7455788022681809,
      0.7445949161921127,
      0.7436155463687348,
      0.7426406578945796,
      0.7416702163036347,
      0.740704187454502,
      0.7397425373155352,
      0.7387852324117966,
      0.7378322395091372,
      0.736883525858904,
      0.7359390590357844,
      0.7349988068272583,
      0.7340627374284759,
      0.7331308195359765,
      0.7322030169990756,
      0.7312792846753426,
      0.7303595786608575,
      0.7294438577700724,
      0.7285320831414485,
      0.7276242179510465,
      0.726720226927951,
      0.7258200763827376,
      0.7249237338327522,
      0.7240311678341627,
      0.7231423478165696,
      0.7222572441230324,
      0.7213758277474777,
      0.7204980703274968,
      0.7196239441391071,
      0.7187534219908869,
      0.7178864771193436,
      0.7170230821698146,
      0.7161632035954256,
      0.7153068057045598,
      0.714453854956039,
      0.7136043194262595,
      0.7127581689426786,
      0.7119153746114093,
      0.7110759087042091,
      0.710239744599722,
      0.7094068563712884,
      0.7085772187326752,
      0.7077508071635459,
      0.7069275978076648,
      0.7061075671949658,
      0.7052906922187567,
      0.7044769503170675,
      0.7036663192231093,
      0.7028587770214003,
      0.7020543022047315,
      0.7012528734775905,
      0.7004544698652843,
      0.6996590705947388,
      0.6988666551539473,
      0.6980772031987428,
      0.6972906947403941,
      0.6965071097990733,
      0.6957264288461593,
      0.6949486324334169,
      0.6941737013056323,
      0.6934016164368759,
      0.6926323590425376,
      0.6918659103621709,
      0.6911022519512175,
      0.6903413654648406,
      0.6895832326959908,
      0.6888278356646417,
      0.6880751565801794,
      0.6873251776516804,
      0.686577881279526,
      0.6858332502981997,
      0.6850912674314744,
      0.6843519157140695,
      0.6836151781250145,
      0.6828810379588255,
      0.6821494786119996,
      0.6814204836240643,
      0.6806940366681226,
      0.6799701215923916,
      0.6792487223603741,
      0.6785298231438669,
      0.6778134082127633,
      0.6770994619013974,
      0.6763879687529898,
      0.6756789134101574,
      0.674972280709055,
      0.6742680301619597,
      0.673566060398749,
      0.6728662716645075,
      0.6721685787991672,
      0.6714729090041653,
      0.6707791996208785,
      0.6700873967029146,
      0.669397453462035,
      0.6687093289901251,
      0.6680229875586131,
      0.6673383976280457,
      0.6666555311249394,
      0.665974362957964,
      0.6652948704666235,
      0.6646170332336071,
      0.6639408326492457,
      0.663266251456213,
      0.6625932736033434,
      0.6619218841794244,
      0.6612520691468126,
      0.6605838152303335,
      0.6599171098846588,
      0.6592519408823798,
      0.6585882966405117,
      0.657926165989296,
      0.6572655382221059,
      0.6566064027140887,
      0.6559487492534115,
      0.6552925677121145,
      0.6546378482004923,
      0.6539845809424745,
      0.6533327564309966,
      0.6526823653296571,
      0.652033398425762,
      0.6513858466854324,
      0.6507397010547661,
      0.6500949525407941,
      0.6494515923688138,
      0.6488096117838957,
      0.6481690022090291,
      0.6475297551235841,
      0.6468918618910401,
      0.6462553140696949,
      0.6456201032404169,
      0.6449862211653523,
      0.6443536596670791,
      0.6437224105843249,
      0.6430924657783345,
      0.6424638171395175,
      0.6418364567211949,
      0.641210376670264,
      0.6405855691071083,
      0.6399620262346042,
      0.6393397403451766,
      0.6387187037266445,
      0.6380989086949912,
      0.6374803476527424,
      0.6368630129947994,
      0.6362468971413274
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183457213692112,
      10.995351874286346,
      10.797686724548281,
      10.592042844809948,
      10.37998184024806,
      10.16317186618727,
      9.943196851044787,
      9.72147878598557,
      9.49936668755273,
      9.278148054252231,
      9.059016985600495,
      8.843021279795797,
      8.631039022907162,
      8.42376256607616,
      8.221689254867426,
      8.025123557789868,
      7.834188578670459,
      7.648844694987225,
      7.468912847215254,
      7.294100151267942,
      7.12402666479127,
      6.9582512178662705,
      6.796291721225528,
      6.63764503600336,
      6.481804878357526,
      6.328277684590534,
      6.176598327329308,
      6.026336191804352,
      5.877098582435014,
      5.72854521022509,
      5.580396192220951,
      5.432435668079671,
      5.284509586053938,
      5.1365227996473175,
      4.9884416882889715,
      4.840308975526415,
      4.692244206667847,
      4.544440866039768,
      4.397158903846785,
      4.2507075220612895,
      4.1054360208616245,
      3.9617260477878595,
      3.819993532988247,
      3.6806835627327654,
      3.544259843723329,
      3.4111925153641254,
      3.281936687245877,
      3.156916233486538,
      3.0365144542780134,
      2.921066843596679,
      2.8108561053680154,
      2.7061094027392536,
      2.6069979229822784,
      2.513642253515106,
      2.4261175119229925,
      2.34445438786042,
      2.2686379263870307,
      2.1985997680348737,
      2.1342275001369653,
      2.075362553388079,
      2.0218177955831025,
      1.973393369001603,
      1.9298389366568898,
      1.8907975062017106,
      1.8558178633895013,
      1.8244089164572186,
      1.7960486333274839,
      1.7702122076034368,
      1.746450968426822,
      1.7244338737862157,
      1.7039097518409096,
      1.6846829829016519,
      1.666592885230305,
      1.649509556383046,
      1.6333220946633604,
      1.6179343535055537,
      1.6032625863956393,
      1.5892334587717922,
      1.5757830921970977,
      1.5628551003364928,
      1.5503993438246833,
      1.5383723130893392,
      1.5267363533160934,
      1.5154587914668438,
      1.5045111957683668,
      1.4938687482890378,
      1.4835097125078522,
      1.4734149824849432,
      1.4635677002658987,
      1.4539529322311202,
      1.4445573944799999,
      1.4353692201496895,
      1.4263777612422224,
      1.417573421648444,
      1.4089475145530785,
      1.4004922020164652,
      1.3922005298996276,
      1.3840661386801012,
      1.3760831399557558,
      1.3682460614082952,
      1.3605497996154683,
      1.3529895802620577,
      1.3455609226987009,
      1.3382596100120476,
      1.3310816631717852,
      1.3240233302764353,
      1.317081139676836,
      1.3102518287122547,
      1.303532272008489,
      1.296919472738684,
      1.2904105546067568,
      1.2840027550847775,
      1.277693418703324,
      1.2714799914308303,
      1.2653600146334898,
      1.2593311202587776,
      1.25339102649532,
      1.247537532803719,
      1.2417685163152663,
      1.2360819281862816,
      1.2304757898185439,
      1.2249481896678172,
      1.219497280396793,
      1.2141212758727304,
      1.208818448070103,
      1.2035871251572299,
      1.198425688791778,
      1.193332572056275,
      1.1883062571760794,
      1.1833452732802787,
      1.17844819482196,
      1.1736136397480028,
      1.1688402676274605,
      1.1641268101428797,
      1.159472169171776,
      1.1548752958776982,
      1.1503351430272712,
      1.145850668821586,
      1.1414208411833435,
      1.137044640015956,
      1.1327210598845159,
      1.1284491117526287,
      1.1242278242902097,
      1.1200562449616231,
      1.11593344033959,
      1.111858501193812,
      1.107830561525745,
      1.1038487803037373,
      1.0999123293705577,
      1.096020394777709,
      1.092172177663716,
      1.0883668943758171,
      1.0846037768549788,
      1.0808820731858895,
      1.0772010429238774,
      1.0735599428139018,
      1.0699580437843232,
      1.0663946377309286,
      1.0628690359916522,
      1.0593805684140758,
      1.0559285826594669,
      1.0525124435408741,
      1.0491315321421821,
      1.0457852448194063,
      1.0424729932549215,
      1.039194203480662,
      1.0359483152429987,
      1.032734781863413,
      1.0295530693235653,
      1.0264026561516957,
      1.0232830332469995,
      1.0201937029815056,
      1.0171341789014647,
      1.0141039857239245,
      1.0111026588155763,
      1.0081297436120273,
      1.0051847237084988,
      1.002267024375408,
      0.9993761021150717,
      0.9965114451112713,
      0.9936725691414472,
      0.9908590139259779,
      0.9880703404683217,
      0.9853061286188214,
      0.9825659747054123,
      0.9798494900928667,
      0.9771562996505185,
      0.9744860402790312,
      0.9718383601553985,
      0.9692129176269817,
      0.9666093804140586,
      0.9640274252730786,
      0.9614667368990251,
      0.9589270076426396,
      0.9564079373299078,
      0.953909232573708,
      0.9514306064415496,
      0.9489717783263926,
      0.9465324734102999,
      0.9441124226361038,
      0.9417113626783791,
      0.9393290354058762,
      0.9369651875971385,
      0.9346195710112736,
      0.932291942305484,
      0.9299820628503509,
      0.9276896982395036,
      0.9254146187647332,
      0.9231565987717307,
      0.9209154167273138,
      0.9186908552861606,
      0.9164827010521681,
      0.9142907442375772,
      0.912114778983033,
      0.9099546030158979,
      0.9078100175630828,
      0.9056808274158875,
      0.9035668406389067,
      0.9014678686347298,
      0.8993837262084915,
      0.8973142313278744,
      0.8952592049337784,
      0.8932184710562184,
      0.8911918566759522,
      0.8891791916372955,
      0.8871803085611054,
      0.8851950429612762,
      0.8832232331073592,
      0.8812647197352529,
      0.8793193463171357,
      0.8773869589761334,
      0.8754674061981244,
      0.8735605388997604,
      0.8716662102935776,
      0.8697842761092007,
      0.8679146116510681,
      0.8660571582704031,
      0.8642118606477545,
      0.8623786489697148,
      0.860557414446422,
      0.8587480221675251,
      0.8569503393055677,
      0.855164235183357,
      0.853389581088909,
      0.8516262501419544,
      0.8498741172624383,
      0.848133059342999,
      0.846402955066003,
      0.8446836851283166,
      0.8429751319582975,
      0.8412771797900672,
      0.8395897144327014,
      0.8379126233964174,
      0.8362457960192422,
      0.8345891230864028,
      0.832942497111144,
      0.8313058121591117,
      0.8296789637749399,
      0.8280618490112421,
      0.8264543666113497,
      0.8248564164806962,
      0.8232679000234395,
      0.8216887202254451,
      0.8201187813317392,
      0.8185579888296411,
      0.8170062498394801,
      0.8154634726418512,
      0.8139295666635141,
      0.8124044426668005,
      0.8108880127877558,
      0.8093801902701262,
      0.8078808895559366,
      0.8063900262242563,
      0.8049075169815462,
      0.8034332798055623,
      0.801967233683088,
      0.8005092988573422,
      0.7990593964656216,
      0.797617448788337,
      0.7961833790406797,
      0.7947571114705516,
      0.7933385714057997,
      0.7919276852013607,
      0.7905243801359352,
      0.7891285844622269,
      0.7877402272543876,
      0.7863592386629057,
      0.7849855496110218,
      0.7836190921023589,
      0.7822597987661767,
      0.780907603217026,
      0.7795624400085218,
      0.778224244486201,
      0.7768929526919361,
      0.7755685015740684,
      0.7742508289439973,
      0.772939873383066,
      0.7716355740989173,
      0.7703378709861056,
      0.76904670489033,
      0.7677620174162265,
      0.7664837507359873,
      0.7652118477544506,
      0.7639462521729359,
      0.7626869081471069,
      0.7614337607592239,
      0.7601867556771501,
      0.7589458393233091,
      0.7577109585350484,
      0.7564820609377751,
      0.7552590947595244,
      0.7540420090021182,
      0.7528307529518208,
      0.7516252767078891,
      0.7504255269299314,
      0.7492314421654555,
      0.7480429621981706,
      0.7468600297646072,
      0.7456825896333206,
      0.7445105866211752,
      0.7433439551105078,
      0.7421826270562066,
      0.741026538965857,
      0.739875631311532,
      0.7387298480027107,
      0.7375891357157098,
      0.7364534434844741,
      0.7353227226026717,
      0.7341969259713664,
      0.7330760081634392,
      0.7319599251352025,
      0.7308486339926059,
      0.729742093064902,
      0.7286402614725067,
      0.7275430994088526,
      0.7264505677628845,
      0.7253626279975065,
      0.7242792423342317,
      0.7232003736340418,
      0.7221259852286597,
      0.7210560409558804,
      0.7199905052977642,
      0.7189293431128493,
      0.71787251972501,
      0.7168200009621712,
      0.7157717529926553,
      0.7147277422124507,
      0.7136879355906832,
      0.7126523005582925,
      0.7116208048975375,
      0.7105934167591181,
      0.7095701044761664,
      0.7085508367856074,
      0.7075355827701049,
      0.7065243120041662,
      0.705516994166813,
      0.704513599290384,
      0.7035140977295737,
      0.7025184601822299,
      0.7015266576595653,
      0.7005386614824155,
      0.6995544432779554,
      0.6985739747477506,
      0.6975972281226169,
      0.6966241758808005,
      0.6956547906445902,
      0.6946890453567112,
      0.6937269133554785,
      0.69276836817101,
      0.6918133834741261,
      0.6908619333050875,
      0.6899139919978747,
      0.6889695341302506,
      0.6880285345252242,
      0.6870909682527114,
      0.6861568105044605,
      0.6852260368251576,
      0.6842986230388794,
      0.6833745450233667,
      0.682453779145664,
      0.6815363018846162,
      0.6806220896826016,
      0.6797111194835723,
      0.678803368508828,
      0.6778988140335955,
      0.6769973913482314,
      0.6760989648496679,
      0.6752034063704035,
      0.6743106061469367,
      0.6734204698588531,
      0.6725329161720625,
      0.6716478745246237,
      0.670765283275394,
      0.6698850884644943,
      0.6690072423171444,
      0.6681317024781217,
      0.6672584310080587,
      0.6663873937491624,
      0.6655185596766604,
      0.6646519003613938,
      0.6637873896943164,
      0.6629250034145121,
      0.662064718693556,
      0.6612065141818506,
      0.6603503697286397,
      0.6594962660290645,
      0.658644184731659,
      0.6577941081161116,
      0.6569460192051934,
      0.6560999014462908,
      0.6552557388011405,
      0.6544135156335981,
      0.6535732165218802,
      0.6527348265295292,
      0.6518983309686212,
      0.6510637152909207,
      0.6502309651318801,
      0.6494000665842607,
      0.6485710057347991,
      0.6477437688626123,
      0.6469183424596866,
      0.6460947130737924,
      0.6452728674314065,
      0.6444527924592075,
      0.6436344752298033,
      0.6428179027802844,
      0.6420030624653303,
      0.6411899415981918,
      0.6403785275752764,
      0.6395688080260967,
      0.638760770632915,
      0.6379544032561089,
      0.6371496936780289,
      0.6363466298554328,
      0.6355451998414579,
      0.6347453917589534,
      0.63394719385002,
      0.6331505943984282,
      0.6323555818306085,
      0.6315621446382782,
      0.6307702714289499,
      0.6299799508491463,
      0.6291911716602486,
      0.6284039226366344,
      0.6276181926672837,
      0.6268339708065374,
      0.6260512461729616,
      0.6252700079243093,
      0.6244902452072398,
      0.6237119472594606,
      0.6229351035630273,
      0.6221597035147631,
      0.6213857365289831,
      0.6206131921909912,
      0.6198420603090504,
      0.6190723777442229,
      0.6183042422354769,
      0.6175377399793807,
      0.6167729401976253,
      0.6160098979122511,
      0.6152486563963022,
      0.6144892491037339,
      0.6137317017207315,
      0.6129760333527683,
      0.6122222576398214,
      0.6114703839306589,
      0.6107204176289559,
      0.6099723613410447,
      0.6092262152260892,
      0.6084819773127538,
      0.6077396440888891,
      0.6069992107810623,
      0.6062606711971488,
      0.6055240184549496,
      0.6047892449197178,
      0.6040563423682859,
      0.603325302151017,
      0.6025961152506024,
      0.6018687723905658,
      0.6011432639900417,
      0.6004195803717469,
      0.5996977560254071,
      0.598977881722719,
      0.5982600365318993,
      0.5975442824173323
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183437756896808,
      10.995294764882129,
      10.797584110689566,
      10.59189424028777,
      10.379796619132044,
      10.162966581933945,
      9.942985891113512,
      9.721276548306172,
      9.499188487248386,
      9.278009534680907,
      9.05893359189136,
      8.843007731244176,
      8.63110832782417,
      8.423926132324056,
      8.22195684569628,
      8.025503302553481,
      7.8346870951885546,
      7.649467294822971,
      7.469663792953082,
      7.2949829361337235,
      7.12504474444161,
      6.959408019629209,
      6.797590646636854,
      6.639089658074732,
      6.483399096610447,
      6.330025570178405,
      6.1785039459487345,
      6.028405188026477,
      5.879337532677993,
      5.730960998767898,
      5.582995881672885,
      5.435226984328712,
      5.287501565733291,
      5.139725633251572,
      4.991865176612161,
      4.84396164538847,
      4.696133042253103,
      4.54857104886296,
      4.401533949248809,
      4.255330497139854,
      4.110311221611206,
      3.9668576538398495,
      3.8253827412146246,
      3.686328535891222,
      3.550154765794178,
      3.4173281428676683,
      3.2883016770357094,
      3.1634975946666275,
      3.0432978944055984,
      2.9280371188838092,
      2.8179973571982053,
      2.713405465856936,
      2.6144330015421082,
      2.5212014978465205,
      2.4337868740259263,
      2.3522204431648066,
      2.2764849453546243,
      2.2065089391464645,
      2.142178866926349,
      2.0833350629075458,
      2.0297920058355983,
      1.981350488858332,
      1.9377565589022645,
      1.8986495391904743,
      1.8635769442588668,
      1.8320483849006284,
      1.803542846522981,
      1.777538584181975,
      1.7535902728745691,
      1.7313688870354573,
      1.7106248250948684,
      1.691163921672221,
      1.672826896530302,
      1.6554848679695513,
      1.6390298218355348,
      1.623368041583947,
      1.6084180944231539,
      1.594108636781094,
      1.5803772833663607,
      1.5671696478900952,
      1.5544375067048062,
      1.5421378605574219,
      1.5302332992318357,
      1.5186913272621378,
      1.5074836342665026,
      1.4965854766470994,
      1.4859751533939487,
      1.4756335621111418,
      1.4655438224223647,
      1.4556909571250356,
      1.446061621958493,
      1.4366438758796378,
      1.4274269866170184,
      1.4184012654028377,
      1.409557926872744,
      1.4008890422105085,
      1.3923875612303944,
      1.3840470215831016,
      1.3758614301547807,
      1.367825209366073,
      1.3599331512742363,
      1.3521803777093346,
      1.3445623056346534,
      1.3370746180331983,
      1.329713237769431,
      1.3224743055835546,
      1.3153542264962375,
      1.30834965323751,
      1.3014573831192007,
      1.2946743429857932,
      1.2879975818846048,
      1.2814242640027198,
      1.2749516621972312,
      1.2685771524438865,
      1.2622982084594276,
      1.256112396617235,
      1.2500173711209202,
      1.2440108698576724,
      1.2380907104369905,
      1.2322547865805926,
      1.226501064061726,
      1.2208275778837032,
      1.2152324290809882,
      1.2097137815088208,
      1.2042698594444274,
      1.198898944737339,
      1.1935993746865627,
      1.188369539279654,
      1.183207879173729,
      1.178112883713089,
      1.1730830889904016,
      1.1681170913685792,
      1.1632136561129514,
      1.1583716419228673,
      1.1535899095455133,
      1.1488673265095135,
      1.1442027716362195,
      1.139595137713809,
      1.1350433338689934,
      1.130546287643718,
      1.1261029464796106,
      1.1217122785147295,
      1.1173732733086643,
      1.1130849426033866,
      1.1088463196999179,
      1.104656460303404,
      1.1005144420434274,
      1.0964193640968816,
      1.092370347475958,
      1.0883665373075229,
      1.0844071204923145,
      1.0804913115682953,
      1.0766183386040429,
      1.0727874410544824,
      1.0689978555125845,
      1.0652488265733453,
      1.0615396189715676,
      1.0578695170794226,
      1.054237824026598,
      1.050643860901038,
      1.0470869659295734,
      1.0435664939441338,
      1.0400818156767846,
      1.036632317596701,
      1.0332174008659716,
      1.0298364810420573,
      1.0264889879180705,
      1.023174364381915,
      1.0198920663805937,
      1.0166415627698493,
      1.0134223345412505,
      1.0102338405687967,
      1.0070754465739538,
      1.0039465303156334,
      1.0008465066701036,
      0.9977748222863608,
      0.9947309521048455,
      0.9917143956993244,
      0.9887246744538409,
      0.9857613291635547,
      0.9828239178010529,
      0.9799120141575912,
      0.9770252063908025,
      0.9741630954768076,
      0.9713252943277769,
      0.9685114268107453,
      0.9657211270734994,
      0.9629540387702163,
      0.9602098144397114,
      0.9574881151382428,
      0.9547886098681986,
      0.9521109752095392,
      0.9494548950010694,
      0.9468200600204716,
      0.9442061676122436,
      0.941612921466795,
      0.9390400316016133,
      0.9364872137814035,
      0.9339541895474155,
      0.9314406858381857,
      0.9289464350157197,
      0.9264711746358895,
      0.9240146474723167,
      0.921576601030506,
      0.919156787670825,
      0.9167549643746516,
      0.9143708926113681,
      0.9120043383058157,
      0.9096550716526159,
      0.9073228671840052,
      0.9050075032268597,
      0.9027087622233132,
      0.9004264305423291,
      0.8981602983418663,
      0.8959101595323139,
      0.8936758116886826,
      0.8914570558612794,
      0.8892536964363253,
      0.8870655413527687,
      0.8848924017592531,
      0.8827340920782786,
      0.880590410078349,
      0.8784611270143131,
      0.8763460215051675,
      0.8742448835516865,
      0.8721575127257019,
      0.8700837171389949,
      0.8680233438625895,
      0.8659763060937161,
      0.8639425175166218,
      0.8619218812127626,
      0.8599142916598503,
      0.8579196368063472,
      0.8559377994120757,
      0.8539686585738515,
      0.8520120904230475,
      0.8500679690138101,
      0.8481361672009,
      0.8462165573568671,
      0.8443090114726385,
      0.8424134016591551,
      0.8405296004919655,
      0.8386574814030664,
      0.8367969186125358,
      0.8349477874136423,
      0.833109964405679,
      0.831283327165695,
      0.8294677547839783,
      0.8276631278391421,
      0.825869328526009,
      0.8240862403254191,
      0.8223137483354069,
      0.8205517389916179,
      0.8188001003477199,
      0.8170587219489202,
      0.8153274949096996,
      0.8136063119409254,
      0.8118950672255858,
      0.8101936562944902,
      0.808501976157111,
      0.8068199254329653,
      0.8051474040261266,
      0.8034843132074239,
      0.801830555645953,
      0.800186035492691,
      0.7985506580068946,
      0.7969243299971691,
      0.7953069594492063,
      0.7936984556635708,
      0.7920987292921029,
      0.7905076920701721,
      0.7889252569564981,
      0.7873513365443657,
      0.7857858340401037,
      0.7842286502913743,
      0.7826796900934565,
      0.7811388616351538,
      0.7796060762066513,
      0.7780812476079887,
      0.7765642922748469,
      0.7750551285442538,
      0.7735536767884126,
      0.7720598591450075,
      0.7705735993523155,
      0.769094822637391,
      0.7676234558104067,
      0.766159426750484,
      0.7647026645545294,
      0.7632530994328788,
      0.7618106627083752,
      0.7603752867148335,
      0.7589469048494999,
      0.7575254514739405,
      0.7561108572894842,
      0.7547030378787412,
      0.7533019094274478,
      0.7519073927397812,
      0.7505194124842751,
      0.7491378967543957,
      0.7477627764845031,
      0.7463939851268769,
      0.7450314584869787,
      0.7436751342588832,
      0.7423249519209099,
      0.7409808522784874,
      0.7396427776714664,
      0.7383106717261174,
      0.7369844791100064,
      0.7356641456445183,
      0.7343496181142727,
      0.7330408441801186,
      0.7317377720896909,
      0.7304403510502401,
      0.7291485310431919,
      0.7278622628435927,
      0.726581497888073,
      0.725306188041855,
      0.7240362860277135,
      0.7227717450928369,
      0.7215125190835772,
      0.7202585624699557,
      0.7190098301675659,
      0.7177662776141798,
      0.7165278607961132,
      0.7152945362753468,
      0.7140662612174496,
      0.712842993216882,
      0.7116246903006443,
      0.7104113109579829,
      0.7092028140941646,
      0.7079991591119139,
      0.7068003059681877,
      0.7056062150028402,
      0.7044168469707921,
      0.7032321631005919,
      0.7020521250515911,
      0.7008766949989841,
      0.6997058352871038,
      0.6985395088457537,
      0.697377678997086,
      0.6962203093644895,
      0.6950673640617179,
      0.6939188075521533,
      0.6927746047118124,
      0.6916347206640655,
      0.6904991209960609,
      0.6893677716961079,
      0.6882406391169821,
      0.6871176899397722,
      0.6859988911890875,
      0.6848842100958481,
      0.6837736144692738,
      0.6826670723063932,
      0.6815645519362382,
      0.6804660010306466,
      0.6793712702279823,
      0.6782801917649561,
      0.6771926217559091,
      0.676108436274369,
      0.6750275280552137,
      0.6739498037293603,
      0.6728751817612609,
      0.6718035903708376,
      0.6707349659421357,
      0.6696692517360955,
      0.6686063967508719,
      0.6675463549551953,
      0.6664890843838271,
      0.6654345463975759,
      0.6643827052073662,
      0.6633335276865713,
      0.6622869826567497,
      0.6612430407133039,
      0.6602016740052956,
      0.6591628558922227,
      0.6581265608083079,
      0.657092764332655,
      0.6560614426522615,
      0.6550325727137141,
      0.6540061320713166,
      0.6529820989150397,
      0.651960451616584,
      0.6509411692173047,
      0.6499242311544822,
      0.6489096171921317,
      0.6478973073779986,
      0.6468872820521467,
      0.645879521805163,
      0.6448740074368856,
      0.6438707199918816,
      0.6428696407192181,
      0.64187075098164,
      0.6408740325463098,
      0.6398794672662872,
      0.6388870371434855,
      0.6378967243410351,
      0.6369085112467798,
      0.6359223803335645,
      0.6349383142488566,
      0.633956295751769,
      0.6329763078538827,
      0.631998336351042,
      0.6310224497974277,
      0.6300487722225763,
      0.62907740218059,
      0.6281084175370231,
      0.6271418792705182,
      0.6261778344835865,
      0.6252163186065857,
      0.6242573576669893,
      0.6233009698923014,
      0.6223471671617803,
      0.6213959560814923,
      0.6204473389916715,
      0.6195013146043857,
      0.6185578787821366,
      0.6176170249765993,
      0.6166787448884068,
      0.6157430285360124,
      0.6148098647008887,
      0.6138792411138277,
      0.6129511446889334,
      0.6120255617544776,
      0.6111025436797881,
      0.61018220605373,
      0.6092646444529363,
      0.6083499331211163,
      0.6074381288401041,
      0.6065292740834943,
      0.6056233999213647,
      0.604720527946939,
      0.6038206723001946,
      0.6029238408786363,
      0.6020300365537857,
      0.6011392582181114,
      0.6002515014633878,
      0.5993667591461954,
      0.5984850219446153,
      0.5976062789585267,
      0.5967305177701095,
      0.5958577249830591,
      0.594987886300261,
      0.5941209868018189,
      0.5932570110937178,
      0.5923959432512256,
      0.5915377671671979,
      0.5906824664929046,
      0.5898300247557404,
      0.5889804252216345,
      0.5881336513421758,
      0.5872896864636786,
      0.5864485139176598,
      0.5856101171619447,
      0.5847744796164395,
      0.5839415846770071,
      0.583111416008704,
      0.58228395738166,
      0.5814591924055276,
      0.580637105026444,
      0.5798176793123142,
      0.579000899340358,
      0.578186749211407,
      0.5773752133951696,
      0.5765662763128905,
      0.5757599226069864,
      0.5749561369783707,
      0.5741549043038475,
      0.5733562095249057,
      0.5725600376636705,
      0.5717663739407272,
      0.5709752035883071,
      0.5701865120956037,
      0.5694002850224499,
      0.5686165078638068,
      0.5678351664991784,
      0.5670562467269988,
      0.5662797345620204,
      0.565505616100907,
      0.5647338776164441,
      0.5639645055509241,
      0.5631974863315771,
      0.5624328064146976,
      0.5616704523555509,
      0.560910410928809,
      0.560152669097256
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183418333583058,
      10.995237379536634,
      10.797480295509658,
      10.591743648899788,
      10.379608286088496,
      10.1627556110782,
      9.942765343945528,
      9.721059623668092,
      9.498989415426571,
      9.277842938355235,
      9.058813998257886,
      8.84294920641267,
      8.631123370543234,
      8.42402550640307,
      8.222149752543386,
      8.025797376104922,
      7.835088508964587,
      7.649980950576163,
      7.470293560692709,
      7.295731920128133,
      7.1259159944325985,
      6.9604045349380215,
      6.798715378748199,
      6.640345708336716,
      6.484789873362708,
      6.3315547111092005,
      6.180175099182838,
      6.030223390648458,
      5.881308870449802,
      5.733091906803936,
      5.585293035795177,
      5.437697790963549,
      5.290154816064006,
      5.142571322139912,
      4.994913035241073,
      4.847220312211464,
      4.699609812368858,
      4.552271626877452,
      4.405462572342545,
      4.259490066915503,
      4.114705126497793,
      3.9714904855668665,
      3.83025730100866,
      3.6914447543715765,
      3.5555090196034427,
      3.4229134506535783,
      3.2941087992450706,
      3.16951561785711,
      3.0495145377166777,
      2.934439048784954,
      2.8245704943180723,
      2.720135270369878,
      2.621305120337534,
      2.528202536996715,
      2.44090403348636,
      2.3594411002804936,
      2.2837931229878485,
      2.2138857712456965,
      2.149604993776676,
      2.09078993747734,
      2.0372565925005195,
      1.9888062028256654,
      1.9451812227525989,
      1.906016687077121,
      1.8708589042157857,
      1.839218674236094,
      1.8105759794272764,
      1.784412225104002,
      1.7602857824063654,
      1.737869577048304,
      1.7169158229040804,
      1.6972315035191328,
      1.6786583742868495,
      1.661068539182465,
      1.6443567868251696,
      1.6284318143275207,
      1.6132142590405691,
      1.5986348619353867,
      1.584632717391016,
      1.5711546720776755,
      1.5581542690776287,
      1.5455902015726606,
      1.5334254278242212,
      1.5216275674251423,
      1.5101683794775653,
      1.4990231519006434,
      1.4881701838031425,
      1.4775903473627954,
      1.4672667156223265,
      1.4571842481624588,
      1.447329524156375,
      1.437690515829251,
      1.4282563961879358,
      1.4190173759970024,
      1.4099645657444844,
      1.4010899474669256,
      1.3923863735467563,
      1.3838472750563444,
      1.3754665519011298,
      1.3672385202356938,
      1.3591578667734554,
      1.35121960954678,
      1.3434190643615682,
      1.3357518149117906,
      1.328213687667603,
      1.3208007293396207,
      1.3135092228149996,
      1.306335726741296,
      1.29927696343834,
      1.2923297857810103,
      1.2854911701412746,
      1.2787582096786796,
      1.2721281080018418,
      1.2655981737306317,
      1.2591658152159912,
      1.2528285352323745,
      1.2465839268801935,
      1.2404296688837257,
      1.2343635213669886,
      1.2283833226809635,
      1.222486985311965,
      1.2166724928155142,
      1.2109378966687294,
      1.2052813131532427,
      1.1997009203804359,
      1.1941949557729954,
      1.1887617138087092,
      1.183399543271625,
      1.1781068450861818,
      1.1728820704873544,
      1.167723814707241,
      1.162630826882651,
      1.1576018719317724,
      1.1526357224943875,
      1.1477311633475116,
      1.1428869947817413,
      1.1381020355079003,
      1.1333751244414974,
      1.128705122441962,
      1.1240909131993013,
      1.1195314040381894,
      1.1150255264418985,
      1.1105722360981771,
      1.1061705132344986,
      1.101819362230736,
      1.097517811631377,
      1.0932649136463508,
      1.0890597437028808,
      1.0849014001021284,
      1.0807890035807075,
      1.0767216968302797,
      1.0726986437233175,
      1.0687190288581092,
      1.0647820408916566,
      1.0608868927901653,
      1.057032834837172,
      1.0532191345246842,
      1.0494450766131658,
      1.0457099621965311,
      1.0420131085541369,
      1.0383538489782342,
      1.0347315324762179,
      1.0311455230952737,
      1.027595199684074,
      1.0240799555844775,
      1.0205991980504998,
      1.017152348056703,
      1.0137387912587001,
      1.0103578236285191,
      1.0070087611550018,
      1.0036909596778603,
      1.0004038094330296,
      0.9971467309516056,
      0.9939191716445857,
      0.9907206024583166,
      0.9875505155114457,
      0.98440842199745,
      0.9812938502997106,
      0.9782063443164437,
      0.9751454623999164,
      0.9721107759936355,
      0.9691018688305356,
      0.9661183360299069,
      0.9631597831943709,
      0.9602258261158075,
      0.957316089920913,
      0.9544302087743821,
      0.9515678252240098,
      0.9487285899503995,
      0.9459121614635171,
      0.9431182055426358,
      0.9403463952838865,
      0.9375964107386384,
      0.9348679386007114,
      0.93216067199282,
      0.9294743102507603,
      0.9268085587561327,
      0.924163128818091,
      0.9215377372985999,
      0.918932106744579,
      0.9163459649078834,
      0.9137790447210947,
      0.9112310844752127,
      0.9087018271824323,
      0.9061910207510433,
      0.9036984178030302,
      0.9012237637412184,
      0.8987667681922892,
      0.8963271447896951,
      0.8939046209271199,
      0.8914989360386819,
      0.8891098404053233,
      0.8867370936204916,
      0.8843804635761763,
      0.8820397256626278,
      0.879714662230818,
      0.8774050616551587,
      0.8751107180125376,
      0.8728314305628363,
      0.8705670034369537,
      0.86831728373481,
      0.8660821850354544,
      0.8638616166251164,
      0.8616554740280833,
      0.8594636423127675,
      0.8572859980421845,
      0.8551224111463486,
      0.8529727465169679,
      0.8508368652778305,
      0.8487146260396946,
      0.8466058858876576,
      0.8445105005447022,
      0.8424283254925138,
      0.8403592162202421,
      0.8383030286713606,
      0.8362596194821276,
      0.83422884626716,
      0.8322105677999313,
      0.8302046442928269,
      0.8282109372683263,
      0.8262293052067116,
      0.8242595957685257,
      0.8223016586430092,
      0.8203553482690067,
      0.8184205232574702,
      0.8164970461251775,
      0.8145847829832464,
      0.8126836029761705,
      0.8107933782332045,
      0.8089139836704092,
      0.8070452966434839,
      0.8051871970099411,
      0.8033395669394611,
      0.8015022905228986,
      0.7996752540442453,
      0.7978583457456276,
      0.796051455543351,
      0.7942544753042462,
      0.7924672984115311,
      0.7906898200439497,
      0.7889219371506844,
      0.7871635481227091,
      0.7854145529230303,
      0.7836748529632962,
      0.7819443510324364,
      0.780222951378522,
      0.7785105596392169,
      0.7768070828747146,
      0.7751124292967901,
      0.7734265084558806,
      0.7717492313784182,
      0.7700805101460736,
      0.7684202560000465,
      0.7667683648732361,
      0.7651247267889858,
      0.7634892375299763,
      0.7618617979566249,
      0.7602423131343841,
      0.7586306920298953,
      0.7570268466051874,
      0.755430691783081,
      0.7538421450622111,
      0.7522611261375776,
      0.7506875566266404,
      0.749121359951486,
      0.7475624613259382,
      0.7460107873897567,
      0.7444662663024347,
      0.7429288275347139,
      0.7413984018144179,
      0.7398749207688065,
      0.7383583173819153,
      0.7368485254362953,
      0.7353454798204773,
      0.7338491163291102,
      0.732359371616582,
      0.7308761833556011,
      0.7293994899384908,
      0.7279292306883067,
      0.7264653456641705,
      0.7250077756196462,
      0.723556462114341,
      0.7221113475248478,
      0.7206723749549585,
      0.719239488146373,
      0.7178126315428706,
      0.7163917503040208,
      0.7149767902183021,
      0.7135676977182459,
      0.7121644199474056,
      0.7107669045988279,
      0.7093750999323682,
      0.7079889549959663,
      0.706608419390044,
      0.7052334433123713,
      0.7038639775269818,
      0.7024999734105333,
      0.7011413828716342,
      0.6997881584999901,
      0.6984402532584862,
      0.6970976206078127,
      0.6957602146826306,
      0.6944279900614926,
      0.6931009018170554,
      0.691778905490456,
      0.6904619572951506,
      0.689150013889447,
      0.6878430323273264,
      0.6865409701115405,
      0.6852437854250946,
      0.6839514160269492,
      0.6826636884910694,
      0.6813803998587562,
      0.6801013756523364,
      0.6788264649885001,
      0.6775555370864871,
      0.6762884776569902,
      0.6750251862812634,
      0.6737655742889832,
      0.6725095628229742,
      0.6712570811876021,
      0.6700080655004241,
      0.6687624576693882,
      0.6675202045391869,
      0.6662812570777482,
      0.6650455696505406,
      0.6638130995339563,
      0.6625838066147721,
      0.6613576528426637,
      0.660134602019264,
      0.6589146195160134,
      0.657697671996288,
      0.6564837272427125,
      0.6552727540638351,
      0.6540647222287704,
      0.6528596020736062,
      0.6516573647453149,
      0.6504579821677114,
      0.6492614265513249,
      0.6480676705908894,
      0.646876687536538,
      0.64568845085916,
      0.6445029346539703,
      0.6433201855209082,
      0.6421403416579002,
      0.6409635227998026,
      0.6397898226197477,
      0.6386193135822582,
      0.6374520507891658,
      0.6362880747538017,
      0.6351274143333971,
      0.6339700885815182,
      0.6328161085703047,
      0.63166547877974,
      0.6305181985684631,
      0.6293742627117488,
      0.6282336625616117,
      0.6270963865335457,
      0.6259624207113436,
      0.6248317492662601,
      0.6237043548441203,
      0.6225802865818155,
      0.6214596790090944,
      0.6203426476316632,
      0.6192292811735014,
      0.6181196469036916,
      0.6170137943432117,
      0.6159117586615559,
      0.6148135633404616,
      0.6137192224952649,
      0.6126287425810812,
      0.6115421237183177,
      0.6104593611757325,
      0.6093804460998252,
      0.6083053663327747,
      0.6072341071175692,
      0.6061666517691384,
      0.6051029818807628,
      0.6040430777538527,
      0.6029869185176501,
      0.6019344827285096,
      0.6008857482287704,
      0.5998406925884415,
      0.598799292807649,
      0.5977615258564782,
      0.5967273685528828,
      0.5956967975159151,
      0.5946697893980499,
      0.5936463209644519,
      0.5926263688923055,
      0.5916099101294682,
      0.5905969216680905,
      0.5895873805219802,
      0.5885812640087305,
      0.5875785495237559,
      0.586579214695834,
      0.5855832372122426,
      0.584590594949416,
      0.5836012658489106,
      0.5826152282770779,
      0.5816324606478618,
      0.5806529416051602,
      0.5796766499511632,
      0.5787035647275445,
      0.5777336650175661,
      0.5767669301546974,
      0.5758033397282745,
      0.5748428733864823,
      0.5738855109696682,
      0.5729312326695739,
      0.5719800185278544,
      0.5710318490027865,
      0.5700867046204801,
      0.5691445661099813,
      0.5682054144624932,
      0.567269230634342,
      0.5663359960137784,
      0.5654056920994869,
      0.5644783004340006,
      0.563553802638661,
      0.5626321804995813,
      0.5617134160028203,
      0.5607974914720274,
      0.5598843892488868,
      0.5589740918057706,
      0.5580665817315869,
      0.5571618418448544,
      0.5562598550276784,
      0.5553606044409041,
      0.5544640731808378,
      0.5535702446474595,
      0.5526791023793556,
      0.5517906299652696,
      0.5509048111843395,
      0.5500216300452456,
      0.5491410705204722,
      0.5482631168656517,
      0.5473877532524236,
      0.5465149640879191,
      0.5456447340549181,
      0.5447770478475448,
      0.5439119277795629,
      0.5430494669364929,
      0.5421897504985452,
      0.5413328435601944,
      0.5404787952324461,
      0.5396276415719016,
      0.5387794369265105,
      0.5379343026152863,
      0.5370923478880684,
      0.5362536554640879,
      0.535418286840569,
      0.5345862868941956,
      0.5337576869511286,
      0.532932507811895,
      0.5321107618244798,
      0.5312924546239308,
      0.5304775863911277,
      0.5296661531440335,
      0.5288581476075355,
      0.5280535598941892,
      0.5272523779466541,
      0.5264545882273283,
      0.5256601760464816,
      0.5248691257335059
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183399104800012,
      10.995180279297939,
      10.7973764622587,
      10.591592499149726,
      10.379418182771225,
      10.162540594791002,
      9.942537526305218,
      9.72083135549453,
      9.498774167589092,
      9.277654616505455,
      9.058666466369871,
      8.842855969418277,
      8.6310966444849,
      8.424075666781839,
      8.222285599981433,
      8.026026195062723,
      7.83541616078479,
      7.650412048979863,
      7.470831701216607,
      7.29638001253623,
      7.126676870695387,
      6.96128087870336,
      6.799709811466982,
      6.641460985529236,
      6.486029042571102,
      6.332921222560527,
      6.181672406089009,
      6.031855755576112,
      5.883082019696245,
      5.735011944703214,
      5.587366350065712,
      5.43993141981297,
      5.292557241095079,
      5.14515238545821,
      4.997682403706275,
      4.850186692798932,
      4.702780714473101,
      4.55565312503839,
      4.409059425172332,
      4.263305840732571,
      4.118743701324142,
      3.9757570503276334,
      3.834755662712722,
      3.6961759657057125,
      3.5604710595290734,
      3.4281006715094113,
      3.2995133291063863,
      3.1751278993504157,
      3.055323605453503,
      2.9404328189539246,
      2.83073605082748,
      2.7264591341257134,
      2.627774015322656,
      2.534803906383722,
      2.4476257870618796,
      2.3662699974781707,
      2.290712156156776,
      2.220876679122037,
      2.1566489630885597,
      2.097866909841749,
      2.044347928562405,
      1.9958930740191563,
      1.9522412182126376,
      1.9130237610293164,
      1.8777855038608908,
      1.846038340981116,
      1.8172637757078531,
      1.7909464067624339,
      1.7666484879704483,
      1.7440446032960435,
      1.722888860612304,
      1.702989306662647,
      1.6841893372049548,
      1.6663616537142738,
      1.649403105145601,
      1.6332247964025732,
      1.6177493801389704,
      1.6029094697847108,
      1.5886458949971698,
      1.574906593340094,
      1.5616460866933628,
      1.54882454089801,
      1.5364065312000168,
      1.524359990880923,
      1.5126566846920884,
      1.501271878787772,
      1.4901838282275663,
      1.4793733425556295,
      1.468823418681199,
      1.4585189282545483,
      1.4484463535316423,
      1.4385935634907234,
      1.4289496234148675,
      1.4195046334849644,
      1.4102495913203323,
      1.4011763871994616,
      1.3922777721847976,
      1.3835470658467004,
      1.3749780580879953,
      1.3665649563423177,
      1.358302340588246,
      1.3501851249258916,
      1.3422085234372263,
      1.3343680211463216,
      1.3266593485513762,
      1.3190784596692517,
      1.3116215293483529,
      1.3042850111112994,
      1.297065553938407,
      1.2899599384060307,
      1.2829650700475612,
      1.276077972787716,
      1.2692957831364258,
      1.262615744045603,
      1.2560352001278803,
      1.2495515929853391,
      1.2431624561581964,
      1.2368654106762986,
      1.2306581614831513,
      1.2245384933744052,
      1.2185042674308977,
      1.2125534174504016,
      1.2066839468984594,
      1.2008939258303915,
      1.1951814880490286,
      1.189544828355622,
      1.1839822000048101,
      1.178491911965435,
      1.1730723592083954,
      1.1677221346795887,
      1.1624399042039308,
      1.1572243412131773,
      1.1520741319735661,
      1.1469879793982165,
      1.1419646059655773,
      1.1370027562625757,
      1.132101198653153,
      1.1272587264873493,
      1.122474159215168,
      1.1177463425468686,
      1.1130741489884188,
      1.108456477740731,
      1.1038922546290146,
      1.0993804319646807,
      1.094919987989095,
      1.0905099264618234,
      1.0861492764479834,
      1.0818370913421078,
      1.0775724486571436,
      1.0733544493097116,
      1.069182216964599,
      1.0650548973891611,
      1.0609716426104783,
      1.0569316119449623,
      1.05293399041883,
      1.0489779874757788,
      1.0450628356627998,
      1.041187789650257,
      1.0373521302155608,
      1.0335551764615967,
      1.0297962657942477,
      1.0260747487390933,
      1.0223899890710875,
      1.018741344031072,
      1.0151280716171454,
      1.0115494105504423,
      1.0080046434020997,
      1.0044930910297865,
      1.0010141083690678,
      0.9975670800457732,
      0.994151417075078,
      0.9907665540827717,
      0.9874119471982992,
      0.9840870716499207,
      0.9807914203820806,
      0.9775245022175048,
      0.9742858410382673,
      0.9710749744577105,
      0.9678914530004208,
      0.9647348390262447,
      0.96160470621078,
      0.9585006390233295,
      0.9554222319982935,
      0.9523690894099146,
      0.9493408245370376,
      0.9463370595338786,
      0.943357425094043,
      0.940401559907613,
      0.9374691104196625,
      0.9345597306867093,
      0.9316730820265762,
      0.9288088328683684,
      0.9259666584467177,
      0.9231462404930255,
      0.920347231568026,
      0.9175692628490258,
      0.9148119829899285,
      0.9120750558925148,
      0.9093581591084999,
      0.9066609824603651,
      0.9039832266247949,
      0.9013246020313754,
      0.8986848279224032,
      0.8960636318774604,
      0.8934607486828074,
      0.890875920018839,
      0.8883088939474522,
      0.8857594246571182,
      0.8832272718035633,
      0.8807122002589335,
      0.8782139800152086,
      0.8757323859360575,
      0.873267197357544,
      0.8708181978418958,
      0.8683852194438758,
      0.8659681461462415,
      0.8635668530988366,
      0.8611812042934393,
      0.8588110549818294,
      0.8564562539622936,
      0.854116644773705,
      0.8517920673772239,
      0.8494823592614487,
      0.8471873562792674,
      0.8449068935239192,
      0.8426408058391028,
      0.8403889283723504,
      0.8381510968162139,
      0.8359271480509959,
      0.8337169203763682,
      0.8315202534345205,
      0.8293369886390046,
      0.8271669689400077,
      0.8250100392993851,
      0.8228660467068383,
      0.8207348403481712,
      0.818616271212846,
      0.8165101923118601,
      0.8144164588435321,
      0.8123349281055904,
      0.8102654593560124,
      0.8082079140302265,
      0.8061621555515311,
      0.8041280494980831,
      0.8021054633630872,
      0.8000942665704083,
      0.798094330439075,
      0.796105528300931,
      0.7941277353650213,
      0.7921608287348714,
      0.7902046873758206,
      0.7882591918795654,
      0.7863242247378399,
      0.7843996701590271,
      0.7824854139874023,
      0.7805813436230794,
      0.7786873306958763,
      0.7768032358710162,
      0.7749289269526484,
      0.7730642777694682,
      0.7712091674813352,
      0.7693634796934177,
      0.7675271021387894,
      0.7656999261145573,
      0.7638818461281726,
      0.7620727596004665,
      0.7602725662682918,
      0.7584811681503135,
      0.7566984695672401,
      0.7549243767582642,
      0.7531587979584485,
      0.7514016427662245,
      0.7496528224790077,
      0.7479122500748198,
      0.7461798398907465,
      0.7444555076589673,
      0.7427391702898907,
      0.7410307460630812,
      0.7393301544128685,
      0.7376373159695621,
      0.735952152499459,
      0.734274586897391,
      0.7326045429762947,
      0.730941945664828,
      0.7292867210022398,
      0.7276387960326988,
      0.7259980988023909,
      0.7243645581538876,
      0.7227381038262234,
      0.7211186666067406,
      0.719506178178453,
      0.7179005710703191,
      0.7163017786589696,
      0.714709735120028,
      0.7131243754822466,
      0.7115456355293874,
      0.7099734520591156,
      0.7084077625326101,
      0.7068485052079105,
      0.705295619070259,
      0.7037490438397761,
      0.7022087200812327,
      0.7006745890607597,
      0.6991465926536184,
      0.6976246735580528,
      0.6961087751283733,
      0.6945988414376155,
      0.693094817162814,
      0.6915966476744841,
      0.6901042789232338,
      0.6886176575046634,
      0.6871366770345074,
      0.6856611057309173,
      0.6841907165628113,
      0.6827253136576139,
      0.6812647269637073,
      0.6798088080054714,
      0.678357426617503,
      0.6769104676303351,
      0.675467828617501,
      0.6740294179340186,
      0.6725951528113774,
      0.6711649580382824,
      0.6697387648153708,
      0.6683165095778533,
      0.6668981333160352,
      0.6654835808325487,
      0.6640728002395023,
      0.6626657423626531,
      0.6612623604841665,
      0.6598626097863353,
      0.6584664472333,
      0.657073831355398,
      0.6556847609733635,
      0.6542993744533451,
      0.6529178123995307,
      0.651540183453683,
      0.6501665704798019,
      0.6487970353215228,
      0.6474316224517553,
      0.6460703620085302,
      0.6447132724559577,
      0.6433603627251041,
      0.6420116339687403,
      0.640667080910251,
      0.6393266929682092,
      0.6379904554403696,
      0.6366583502166002,
      0.635330356403899,
      0.6340065155223089,
      0.6326869785633065,
      0.6313718810507193,
      0.6300613260008237,
      0.6287553902747972,
      0.6274541295262639,
      0.6261575821409184,
      0.6248657724093337,
      0.6235787133244762,
      0.6222964085545709,
      0.6210188544368175,
      0.6197460413117164,
      0.6184779546343034,
      0.6172145761456554,
      0.6159558844978206,
      0.6147018558940082,
      0.6134524645418534,
      0.6122076831765808,
      0.6109674833751848,
      0.6097318359424682,
      0.6085007107850363,
      0.6072740775965755,
      0.6060519055999793,
      0.6048341637962948,
      0.6036208212124925,
      0.6024118466649859,
      0.6012072091585223,
      0.6000068777758154,
      0.5988108216941964,
      0.597619010176488,
      0.5964314127653038,
      0.5952479991212752,
      0.5940687391156877,
      0.5928936029233333,
      0.5917225610137334,
      0.5905555841433378,
      0.5893926430929829,
      0.5882337089908407,
      0.5870787532029416,
      0.5859277475294423,
      0.5847806639184809,
      0.5836374745362082,
      0.5824981518371053,
      0.5813626685836828,
      0.5802309976633723,
      0.5791031123633504,
      0.5779789861370904,
      0.5768585926769432,
      0.5757419059354169,
      0.5746289001728484,
      0.5735195498273373,
      0.5724138295376157,
      0.5713117142678771,
      0.570213179204321,
      0.5691181998046159,
      0.5680267517208547,
      0.5669388106715786,
      0.5658543527462477,
      0.5647733542273725,
      0.5636957916926622,
      0.5626216419647804,
      0.5615508820112155,
      0.560483488971226,
      0.5594194401066106,
      0.5583587130070046,
      0.5573012855925497,
      0.5562471358879986,
      0.5551962420264299,
      0.55414860516586,
      0.5531043219621451,
      0.5520634980736995,
      0.5510262138744321,
      0.5499925292519594,
      0.5489625417779856,
      0.5479364124413595,
      0.5469142753533346,
      0.5458962313394458,
      0.5448823548186155,
      0.5438726992203083,
      0.542867301314452,
      0.5418661846459376,
      0.5408693622124509,
      0.5398768387254711,
      0.5388886123087967,
      0.5379046757934233,
      0.5369250179175926,
      0.5359496243099737,
      0.5349784780544896,
      0.5340115603228651,
      0.5330488506439406,
      0.5320903273710018,
      0.5311359681954262,
      0.5301857499709093,
      0.5292396491705899,
      0.5282976419100581,
      0.5273597040703027,
      0.526425811470812,
      0.5254959398636382,
      0.5245700649781442,
      0.5236481625649562,
      0.5227302084653885,
      0.5218161786042728,
      0.5209060489830405,
      0.5199997958250226,
      0.5190973954415937,
      0.5181988243781552,
      0.5173040592550702,
      0.5164130769141434,
      0.515525854463505,
      0.5146423690178727,
      0.5137625979475331,
      0.5128865189497631,
      0.5120141096627943,
      0.5111453480177514,
      0.5102802121578967,
      0.5094186804100969,
      0.508560731256215,
      0.5077063433810047,
      0.5068554955171477,
      0.5060081667480061,
      0.5051643363024353,
      0.5043239834263004,
      0.5034870875843533,
      0.5026536285356004,
      0.5018235862566991,
      0.500996940636886,
      0.5001736718592547,
      0.49935376029950373,
      0.4985371864758173,
      0.4977239311265403,
      0.4969139750588978,
      0.49610729927824626,
      0.4953038849137368,
      0.4945037132715773,
      0.49370676573603695,
      0.4929130238994251
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.18338013006326,
      10.995123685773226,
      10.797273072277177,
      10.591441282354891,
      10.379226735426679,
      10.162322167959056,
      9.942303429425248,
      9.72059334751082,
      9.49854522448119,
      9.277448183236732,
      9.058495987224159,
      8.84273458365896,
      8.631036401876003,
      8.42408685980973,
      8.222376762647215,
      8.026204377177764,
      7.835687015160206,
      7.650779999275542,
      7.471300162114416,
      7.296951846502243,
      7.127354826850771,
      6.962067409182916,
      6.800607297016929,
      6.64247193028845,
      6.4871562337909205,
      6.334167850390428,
      6.183041678913086,
      6.03335168347654,
      5.884710060673514,
      5.736777954618322,
      5.589276499361553,
      5.441992068871794,
      5.294776275221769,
      5.147539566164153,
      5.000247378770983,
      4.852938242443421,
      4.705726524910953,
      4.558799559165608,
      4.412411644101546,
      4.266867926027012,
      4.122519207711312,
      3.9797510058441348,
      3.8389726945206912,
      3.70061805152964,
      3.5651371889795556,
      3.4329862956217196,
      3.3046117032581726,
      3.1804305847125343,
      3.0608207247852817,
      2.946113326779926,
      2.8365880036109727,
      2.732469947608248,
      2.6339314438466164,
      2.5410960610259923,
      2.454041145568922,
      2.3727955060147825,
      2.2973305793833645,
      2.2275702292237476,
      2.1633991698468695,
      2.104654221935516,
      2.051154003720307,
      2.0026987040678814,
      1.95902326988095,
      1.919756601866752,
      1.8844420250923535,
      1.8525921973562787,
      1.823690483040248,
      1.7972247299997886,
      1.772761053920088,
      1.7499756281655434,
      1.7286244148037089,
      1.7085164661660144,
      1.689497176752376,
      1.6714393648248882,
      1.654241912245412,
      1.6378182960135912,
      1.6220931512568093,
      1.6070007413759035,
      1.5924835828181234,
      1.5784909529555793,
      1.564978208623366,
      1.5519062324470474,
      1.5392406635925757,
      1.5269510218381266,
      1.5150095274887498,
      1.5033913440551092,
      1.4920746150362298,
      1.4810400320355583,
      1.470270468709177,
      1.4597506704007532,
      1.4494669910803069,
      1.4394071704813265,
      1.4295601446102233,
      1.41991588553797,
      1.4104652644020972,
      1.4012000714356478,
      1.3921129479159393,
      1.3831970945297354,
      1.3744461847661686,
      1.3658543127510674,
      1.3574159488027628,
      1.349125900187649,
      1.3409792777496925,
      1.3329714670464268,
      1.3250981023636512,
      1.317355045128987,
      1.3097383673250198,
      1.3022444156836646,
      1.2948697662865478,
      1.2876111282726515,
      1.2804653374085766,
      1.2734293496102125,
      1.2665002349511807,
      1.2596751725379927,
      1.2529514450530745,
      1.2463264340544686,
      1.2397976151360486,
      1.2333625536774593,
      1.2270189005903773,
      1.2207643886870196,
      1.2145968290238944,
      1.208514107387416,
      1.202514180780814,
      1.1965950744331932,
      1.1907548793413243,
      1.1849917489819919,
      1.1793038967809528,
      1.173689688044606,
      1.168147666187752,
      1.162676401413752,
      1.1572744762544525,
      1.1519404904733779,
      1.1466730650034882,
      1.1414708441179746,
      1.136332497420896,
      1.1312567216158629,
      1.126242241960616,
      1.1212878122968917,
      1.1163922155943955,
      1.1115542640500495,
      1.1067727990528613,
      1.102046690969513,
      1.0973748384505244,
      1.092756168176886,
      1.088189634542537,
      1.0836742184126043,
      1.0792089270455052,
      1.0747927931991188,
      1.0704248750009284,
      1.0661042548560185,
      1.0618300387180706,
      1.0576013413293195,
      1.053417284160103,
      1.0492770144973427,
      1.0451797058319525,
      1.0411245563406153,
      1.0371107870893823,
      1.0331376410778483,
      1.0292043824130632,
      1.0253102950545987,
      1.0214546404905374,
      1.0176365735173818,
      1.0138552681333703,
      1.010109955371455,
      1.0063999217244237,
      1.002724488140931,
      0.9990830040516853,
      0.9954748442527902,
      0.9918994067113248,
      0.9883561102219737,
      0.9848443927769849,
      0.9813637099863367,
      0.977913533750488,
      0.9744933514387282,
      0.9711026645555021,
      0.9677409877073756,
      0.9644078482260215,
      0.9611027852774374,
      0.9578253495250567,
      0.9545751025841991,
      0.9513516162171455,
      0.9481544720817375,
      0.9449832613726574,
      0.9418375589215915,
      0.938716909383394,
      0.935620871384524,
      0.9325490226482432,
      0.9295009578151804,
      0.9264762866349867,
      0.923474632372993,
      0.9204956308876291,
      0.917538929003288,
      0.9146041838551793,
      0.9116910591357299,
      0.908799210854879,
      0.9059282992149157,
      0.9030779963032363,
      0.9002479847399291,
      0.8974379571475881,
      0.8946476150179705,
      0.8918766680418115,
      0.8891248335446955,
      0.8863918358247117,
      0.8836774058486154,
      0.8809812807976194,
      0.8783032038181501,
      0.8756429236216333,
      0.8730001943393644,
      0.8703747885006065,
      0.8677665657631847,
      0.8651754156715931,
      0.8626012097483708,
      0.8600438054752779,
      0.857503049109496,
      0.8549787782590387,
      0.8524708240711715,
      0.8499790126830696,
      0.8475031670067861,
      0.8450431075809949,
      0.8425986537133218,
      0.8401696241016698,
      0.8377558375471669,
      0.8353571134041285,
      0.832973272074215,
      0.8306041352403735,
      0.8282495262488564,
      0.8259092701820799,
      0.8235831940811237,
      0.8212711270640451,
      0.8189729003909682,
      0.8166883474261555,
      0.8144173039543846,
      0.8121596080900735,
      0.8099151002362595,
      0.8076836231451542,
      0.8054650218764932,
      0.8032591438576301,
      0.8010658387402276,
      0.7988849585112038,
      0.7967163573498002,
      0.7945598916372368,
      0.7924154199162126,
      0.7902827832639983,
      0.788161811047234,
      0.786052340887142,
      0.7839542173731379,
      0.7818672912995248,
      0.7797914189141683,
      0.7777264613297908,
      0.7756722837400399,
      0.7736287552020462,
      0.7715957482721963,
      0.7695731387490536,
      0.767560805217457,
      0.7655586287995226,
      0.7635664931124202,
      0.7615842841779296,
      0.7596118900807192,
      0.7576492007302128,
      0.755696108234339,
      0.7537525065638009,
      0.7518182912177229,
      0.7498933594502318,
      0.7479776099893288,
      0.7460709434186309,
      0.7441732616447143,
      0.742284468179646,
      0.7404044677631964,
      0.7385331666473945,
      0.7366704724748435,
      0.7348162941074725,
      0.73297054171066,
      0.7311331266851623,
      0.7293039616000897,
      0.7274829602793871,
      0.7256700378381109,
      0.7238651104657658,
      0.7220680954644773,
      0.7202789113896785,
      0.7184974777342449,
      0.7167237151725001,
      0.7149575453476523,
      0.7131988908631466,
      0.7114476753253818,
      0.7097038234637746,
      0.707967260920957,
      0.7062379143235314,
      0.7045157114301718,
      0.7028005807719272,
      0.7010924518272271,
      0.6993912548161278,
      0.6976969209527586,
      0.6960093823680674,
      0.6943285719317882,
      0.6926544234817887,
      0.6909868257427568,
      0.6893255169195035,
      0.6876702334332558,
      0.6860207471281511,
      0.6843768595538208,
      0.6827383970716213,
      0.6811052065668747,
      0.6794771524669853,
      0.6778541138607814,
      0.6762359820673634,
      0.6746226585704668,
      0.6730140535417006,
      0.6714100843374335,
      0.6698106744738452,
      0.6682157640128691,
      0.6666254328741886,
      0.6650398365357603,
      0.6634590929638136,
      0.6618832904783671,
      0.6603124932581735,
      0.6587467455765222,
      0.6571860753652858,
      0.6556304972195702,
      0.6540800149796621,
      0.6525346233629765,
      0.6509943101274945,
      0.6494590570169044,
      0.6479288409410988,
      0.6464036351152223,
      0.6448835211672376,
      0.6433686769875789,
      0.6418592429941344,
      0.6403553242777935,
      0.6388569970302946,
      0.6373643142208746,
      0.6358773099791039,
      0.6343960031809457,
      0.6329204002742567,
      0.6314504978868164,
      0.6299862845634243,
      0.6285277424258037,
      0.6270748483792608,
      0.6256275752258962,
      0.6241858925346205,
      0.6227497673732646,
      0.6213191648283997,
      0.6198940483396894,
      0.6184743802570347,
      0.617060121961182,
      0.615651234259933,
      0.6142476776290804,
      0.6128494122223459,
      0.6114563980830403,
      0.6100685951252816,
      0.6086859635212273,
      0.6073084635286019,
      0.6059360555718359,
      0.6045687002464964,
      0.603206358349244,
      0.6018489912127045,
      0.6004965602270572,
      0.5991490271752443,
      0.5978063542123321,
      0.5964685037946593,
      0.5951354388634584,
      0.5938071224948283,
      0.5924835182622051,
      0.5911645899124696,
      0.5898503016271657,
      0.5885406179280093,
      0.5872355038886492,
      0.5859349247870317,
      0.5846388462674719,
      0.5833472343243461,
      0.582060055235975,
      0.5807772757020495,
      0.5794988626764608,
      0.5782247834803985,
      0.5769550058140086,
      0.5756894975908882,
      0.5744282270776535,
      0.5731711629325394,
      0.5719182741429298,
      0.5706695299632373,
      0.5694248999805125,
      0.568184354002358,
      0.5669478621740565,
      0.5657153949181345,
      0.5644869285455227,
      0.5632625365407895,
      0.5620423487135846,
      0.5608264632588212,
      0.5596149780017227,
      0.5584080794371751,
      0.5572059493461028,
      0.5560087246702855,
      0.5548165069662888,
      0.5536293692732019,
      0.5524473622243212,
      0.5512705186349397,
      0.5500988571908377,
      0.5489323854793116,
      0.5477711021430047,
      0.5466149989277836,
      0.5454640620963538,
      0.5443182736195644,
      0.5431776120731385,
      0.5420420534462017,
      0.5409115716353351,
      0.5397861390838361,
      0.5386657271101226,
      0.5375503061555436,
      0.5364398459523864,
      0.5353343159944577,
      0.5342336852935418,
      0.5331379227193217,
      0.5320469972869997,
      0.5309608779617625,
      0.5298795336403707,
      0.5288029333868401,
      0.5277310464388423,
      0.5266638420870059,
      0.5256012899866895,
      0.5245433599612518,
      0.5234900220347245,
      0.5224412464390179,
      0.521397003621466,
      0.520357264329125,
      0.5193219994896101,
      0.5182911803471715,
      0.5172647783696804,
      0.5162427653856072,
      0.5152251134669958,
      0.514211794762053,
      0.5132027817853889,
      0.5121980472005105,
      0.5111975638821672,
      0.5102013051315283,
      0.5092092443837891,
      0.5082213553483004,
      0.5072376119709466,
      0.5062579884226636,
      0.5052824590629709,
      0.5043109984798223,
      0.5033435814281786,
      0.5023801831252703,
      0.5014207787577992,
      0.5004653438799703,
      0.499513854099412,
      0.49856628537362047,
      0.4976226138496278,
      0.4966828158819986,
      0.49574686789825634,
      0.49481474674813103,
      0.4938864293411171,
      0.4929618927421222,
      0.49204111431826714,
      0.4911240716572592,
      0.49021074246090945,
      0.48930110466769783,
      0.48839513637244614,
      0.4874928159750772,
      0.48659411925233503,
      0.48569901901370627,
      0.48480748922596184,
      0.4839195049934291,
      0.48303504254231533,
      0.4821540788778288,
      0.4812765915966355,
      0.4804025589298665,
      0.4795319596861671,
      0.4786647731460128,
      0.47780097877902195,
      0.4769405565214132,
      0.4760834866479095,
      0.4752297494917604,
      0.4743793387964523,
      0.4735323215549374,
      0.47268878208156184,
      0.47184878175046785,
      0.47101236419055703,
      0.4701796062542878,
      0.469350618671195,
      0.4685254856934066,
      0.4677042672462913,
      0.4668870043213257,
      0.46607372313248313,
      0.46526443848343857,
      0.4644591562806465,
      0.4636578757607638
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183361398588447,
      10.995067558670561,
      10.797170088880657,
      10.591290028171942,
      10.379034186462857,
      10.162100513006406,
      9.94206317714077,
      9.720345973255018,
      9.49830346692664,
      9.277225276740806,
      9.058305131532551,
      8.842588702829907,
      8.630947415927738,
      8.424065159222582,
      8.222430826264537,
      8.026341165146539,
      7.83591210178579,
      7.651097734020313,
      7.4717138869109805,
      7.297464339061409,
      7.127968728785809,
      6.962785056320239,
      6.801430943070747,
      6.643403941838251,
      6.488199251302273,
      6.335324910482529,
      6.184315853415981,
      6.0347468422966735,
      5.886231503435339,
      5.738431391772247,
      5.591067975761748,
      5.443927847612224,
      5.29686415550044,
      5.149789070689794,
      5.002668127547122,
      4.855539054405818,
      4.708515198602041,
      4.5617826491591815,
      4.415594589862878,
      4.270255180257892,
      4.12611452175691,
      3.983559528797322,
      3.84299956932757,
      3.7048658936023875,
      3.569605677798347,
      3.4376715662244344,
      3.3095077122211647,
      3.1855295878621943,
      3.0661135183716164,
      2.9515895048308787,
      2.842236217740596,
      2.73827815660147,
      2.639887874514013,
      2.5471892287176194,
      2.4602598668757807,
      2.3791256783916785,
      2.303754897126475,
      2.2340712905749527,
      2.169958194782784,
      2.1112520157541503,
      2.057772542272203,
      2.0093189169873478,
      1.965622139189687,
      1.926308648614707,
      1.8909205283797184,
      1.8589711824012933,
      1.8299459281186636,
      1.8033358913889337,
      1.7787110053923973,
      1.7557489732418217,
      1.7342082763500053,
      1.7138986419281246,
      1.6946667816197625,
      1.676386318593879,
      1.6589574106272509,
      1.642295909949332,
      1.6263284335279458,
      1.6109908920877785,
      1.5962272192908316,
      1.5819881771833633,
      1.5682301218089985,
      1.5549145954752588,
      1.5420077626263133,
      1.5294797716649062,
      1.5173042081422317,
      1.5054570977866775,
      1.4939164751296663,
      1.4826628408201672,
      1.4716788844525206,
      1.4609491744425038,
      1.450459894676617,
      1.4401986211993456,
      1.4301541326331755,
      1.4203162493869828,
      1.4106756967595833,
      1.4012241508400323,
      1.3919541306132313,
      1.3828587067568743,
      1.3739314275622505,
      1.3651662674484986,
      1.356557581171277,
      1.3481000652763508,
      1.339788724423751,
      1.3316188419302835,
      1.3235859546848452,
      1.3156858306537758,
      1.3079144491718626,
      1.3002680486576783,
      1.2927431219214913,
      1.2853363072153547,
      1.2780443710719802,
      1.2708642020619072,
      1.2637928054775522,
      1.2568272973413492,
      1.2499648994395829,
      1.243202934233669,
      1.2365388205334933,
      1.2299700690870345,
      1.223494278256384,
      1.2171091304068105,
      1.2108123876506298,
      1.204601888638247,
      1.1984755451386067,
      1.1924313389802728,
      1.1864673193144604,
      1.1805816085523473,
      1.174772531968848,
      1.169038553249557,
      1.1633781472428255,
      1.1577898056031615,
      1.1522720411363467,
      1.1468233914226504,
      1.141442421069735,
      1.1361277237755494,
      1.1308779235509099,
      1.12569167546628,
      1.1205676665419444,
      1.1155046153143942,
      1.1105012718652285,
      1.1055564180140063,
      1.1006688667148385,
      1.095837461475954,
      1.091061075857451,
      1.0863386127470736,
      1.0816690038757577,
      1.0770512091192401,
      1.072484215538523,
      1.0679670367729661,
      1.0634987123819655,
      1.0590783069858762,
      1.054704897458341,
      1.0503775662550865,
      1.046095421836329,
      1.0418576006874447,
      1.0376632651424458,
      1.0335116016388222,
      1.0294018198103172,
      1.0253331177305838,
      1.0213045809066292,
      1.0173153063713867,
      1.0133644439837683,
      1.0094511899043346,
      1.0055747805084032,
      1.0017344882539398,
      0.9979296174650834,
      0.9941595008389795,
      0.9904234966213302,
      0.9867209864981076,
      0.9830513756764073,
      0.9794141020265509,
      0.975808624747657,
      0.9722344156843499,
      0.9686909587705721,
      0.9651777454433988,
      0.9616942339133018,
      0.9582398630142309,
      0.9548140807239861,
      0.9514163575602927,
      0.9480461869158422,
      0.9447030824610181,
      0.9413865760690311,
      0.9380962159548296,
      0.9348315653815559,
      0.9315922012199376,
      0.9283777129700741,
      0.9251877018365771,
      0.9220217798056064,
      0.9188795691296474,
      0.9157607016089809,
      0.9126648178728787,
      0.9095915670665278,
      0.9065406063841274,
      0.9035116008546649,
      0.9005042228720918,
      0.8975181520290251,
      0.8945530745925802,
      0.8916086832327071,
      0.8886846770533173,
      0.8857807614184001,
      0.8828966475733007,
      0.8800320524675522,
      0.8771866985763049,
      0.874360313617762,
      0.8715526362203532,
      0.8687634915564855,
      0.8659927566340647,
      0.8632402884614476,
      0.8605059281657734,
      0.8577895044983112,
      0.8550908366367831,
      0.8524097365966111,
      0.8497460111044468,
      0.847099463192886,
      0.8444698934192492,
      0.8418571009655232,
      0.839260884571546,
      0.8366810429989384,
      0.8341173757903586,
      0.8315696836643172,
      0.8290377689034347,
      0.8265214356354147,
      0.8240204901603331,
      0.8215347409690935,
      0.8190639989113246,
      0.8166080774625978,
      0.8141667923791274,
      0.8117399622153606,
      0.8093274081283492,
      0.8069289539864578,
      0.804544426172158,
      0.802173635527897,
      0.7998163775630115,
      0.7974724556122983,
      0.7951416814149123,
      0.792823873878477,
      0.7905188582626096,
      0.788226465474187,
      0.7859465316768356,
      0.7836788974502354,
      0.7814234073623859,
      0.7791799099535548,
      0.7769482574201533,
      0.7747283049465201,
      0.7725199108030018,
      0.770322936039521,
      0.7681372443853823,
      0.7659627022022083,
      0.763799178184535,
      0.7616465434185428,
      0.7595046710353489,
      0.7573734362723502,
      0.7552527165869598,
      0.7531423913139774,
      0.7510423416801761,
      0.7489524506163826,
      0.7468726029263503,
      0.7448026852025167,
      0.7427425858953958,
      0.7406921949264548,
      0.7386514038611252,
      0.7366201059299463,
      0.734598195898327,
      0.7325855700388124,
      0.7305821261042363,
      0.7285877634034515,
      0.7266023825727429,
      0.7246258855516053,
      0.7226581758132955,
      0.7206991581895688,
      0.7187487387473119,
      0.7168068249199434,
      0.714873325334886,
      0.7129481498447963,
      0.7110312096868779,
      0.7091224172110647,
      0.7072216859138944,
      0.7053289304476404,
      0.7034440666304274,
      0.7015670114823395,
      0.6996976831864112,
      0.6978360008726783,
      0.695981884809355,
      0.6941351407327221,
      0.6922954539967177,
      0.6904625418280066,
      0.6886361584022148,
      0.6868160886400678,
      0.6850021434396694,
      0.6831941553395108,
      0.6813919749807535,
      0.6795955144406123,
      0.677804871463336,
      0.6760201607262344,
      0.674241464187779,
      0.6724688382011692,
      0.6707023182604531,
      0.6689419226141563,
      0.6671876554955237,
      0.6654395098767778,
      0.6636974693483481,
      0.6619615099177271,
      0.6602316016569127,
      0.6585077096941472,
      0.6567898401776067,
      0.6550781626019702,
      0.6533728474796364,
      0.651674021852458,
      0.6499817773875206,
      0.6482961771169452,
      0.6466172611482115,
      0.6449450506234307,
      0.6432795516198218,
      0.6416207579590509,
      0.6399686538253395,
      0.6383232155890723,
      0.6366844132995727,
      0.6350522119536514,
      0.6334265727215445,
      0.6318074536762351,
      0.6301948103336763,
      0.6285885965910527,
      0.6269887649202397,
      0.6253952669375927,
      0.6238080534608641,
      0.6222270747910481,
      0.6206522809405979,
      0.6190836218593588,
      0.6175210476845574,
      0.6159645084812603,
      0.6144139545920493,
      0.6128693366045529,
      0.6113306054714979,
      0.6097977124777744,
      0.6082706092839535,
      0.6067492480205372,
      0.6052335812303156,
      0.6037235617341195,
      0.6022191429292045,
      0.6007202789102277,
      0.5992269239807293,
      0.5977390329530439,
      0.5962565610672396,
      0.5947794641647662,
      0.5933076984303585,
      0.5918412205417143,
      0.5903799876661858,
      0.5889239573575734,
      0.5874730877066632,
      0.586027337162125,
      0.5845866647080763,
      0.5831510297371549,
      0.5817203920764291,
      0.5802947120651115,
      0.5788739503019867,
      0.5774580678256872,
      0.5760470261426327,
      0.5746407872815742,
      0.5732394089577397,
      0.5718430346064586,
      0.5704517762365584,
      0.5690658121340338,
      0.5676853806287788,
      0.5663106663183233,
      0.5649418064684802,
      0.5635789005825984,
      0.562222018473298,
      0.5608712061756146,
      0.5595264909418397,
      0.5581878851058052,
      0.5568553893885412,
      0.5555289953256526,
      0.5542086869762588,
      0.5528944428105703,
      0.551586236967475,
      0.5502840400641454,
      0.5489878201209163,
      0.5476975431965959,
      0.5464131736858054,
      0.5451346749914933,
      0.5438620096338177,
      0.5425951395841645,
      0.541334026392923,
      0.540078631569808,
      0.5388289162759301,
      0.537584841980944,
      0.5363463700773241,
      0.5351134621806245,
      0.5338860800480567,
      0.5326641857511317,
      0.5314477415434931,
      0.5302367099831158,
      0.52903105387654,
      0.5278307364523354,
      0.5266357212554887,
      0.5254459720676461,
      0.5242614529290978,
      0.5230821283139013,
      0.5219079594135901,
      0.5207389043513411,
      0.519574922787758,
      0.5184159758740281,
      0.5172620262105518,
      0.5161130374788763,
      0.5149689741783862,
      0.5138298015943602,
      0.5126954859206144,
      0.5115659939522762,
      0.5104412928817099,
      0.5093213505024613,
      0.5082061350837388,
      0.5070956152717785,
      0.5059897599918098,
      0.5048885388083424,
      0.5037919213713064,
      0.5026998777779595,
      0.5016123785287052,
      0.5005293943058012,
      0.49945089608279697,
      0.49837685513306296,
      0.49730724303854823,
      0.4962420316993138,
      0.49518119321658804,
      0.4941247000049563,
      0.4930725246508254,
      0.49202464005071705,
      0.4909810194489754,
      0.4899416361703088,
      0.4889064638361421,
      0.4878754762250759,
      0.4868486502872896,
      0.48582604284094094,
      0.48480775936087034,
      0.48379387623948067,
      0.4827844472156505,
      0.4817795082450317,
      0.4807790813926697,
      0.47978318691701205,
      0.4787919075834201,
      0.47780534445775785,
      0.47682356877246546,
      0.47584662861714155,
      0.4748745540952622,
      0.4739073614266878,
      0.4729450560601077,
      0.471987635239062,
      0.47103508977585273,
      0.47008740554847617,
      0.4691445646238064,
      0.4682065462653618,
      0.46727332749843,
      0.466344883794267,
      0.46542118929047815,
      0.46450221726097124,
      0.4635879403786313,
      0.46267833097580924,
      0.4617733609725656,
      0.4608730020826075,
      0.45997722599299506,
      0.4590860044924048,
      0.4581993093193806,
      0.4573171122903821,
      0.4564393853507711,
      0.4555661006263109,
      0.4546972304241663,
      0.4538327471829427,
      0.45297262349949646,
      0.4521168321303378,
      0.4512653461969212,
      0.45041813901028926,
      0.4495751839975687,
      0.44873645480709895,
      0.44790192523559474,
      0.44707156930831105,
      0.44624536138514004,
      0.44542327591137043,
      0.44460528765192303,
      0.44379137141759467,
      0.44298150232537453,
      0.44217565570342315,
      0.4413738069711468,
      0.4405759317991294,
      0.43978200611701035,
      0.4389920059948852,
      0.43820590770293527,
      0.4374236876189923
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183342843635694,
      10.995011696212645,
      10.797067152589868,
      10.59113789836515,
      10.378839405473538,
      10.161874347204797,
      9.941815586465244,
      9.720088400539257,
      9.498048653504386,
      9.276986480845517,
      9.058095561719528,
      8.842421292180164,
      8.630834123825629,
      8.424016581783283,
      8.222455665140792,
      8.026446404826299,
      7.836103338793987,
      7.651379336368401,
      7.47208920828165,
      7.297936153396052,
      7.128539573461308,
      6.963456880284755,
      6.802205862372746,
      6.644284318261091,
      6.489187711239938,
      6.33642446897685,
      6.185529690678712,
      6.036078805309957,
      5.887686852370333,
      5.740015805499845,
      5.592787478824187,
      5.445788699070256,
      5.2988739705950785,
      5.151956858491182,
      5.0050035880069474,
      4.858051122844246,
      4.711211829743903,
      4.564670596017015,
      4.418679549672282,
      4.273541933737276,
      4.1296066315895885,
      3.9872611498657036,
      3.846915484466837,
      3.708999249639253,
      3.573956960511281,
      3.4422378881691786,
      3.314283606214323,
      3.1905078698278433,
      3.0712855200366342,
      2.9569453239969756,
      2.847764971826643,
      2.743968324142604,
      2.645728134642723,
      2.553168537864455,
      2.4663666575770202,
      2.3853448309416714,
      2.3100687992460354,
      2.240462910177251,
      2.176408669767323,
      2.117742473372252,
      2.0642852505738,
      2.0158350787776915,
      1.9721187408598366,
      1.932760157385829,
      1.8973003601806182,
      1.865253447259237,
      1.836107052831134,
      1.8093557034647623,
      1.784573068776612,
      1.7614382872924055,
      1.739712405076771,
      1.7192060394016264,
      1.699767212927755,
      1.6812702998067965,
      1.663616146515783,
      1.6467229703155624,
      1.6305193707081758,
      1.6149429041743892,
      1.5999388641089287,
      1.58545922803521,
      1.5714616311422112,
      1.5579083675844416,
      1.5447661111185467,
      1.532005408747161,
      1.519600151815631,
      1.5075271224773217,
      1.4957655338595395,
      1.4842962102675983,
      1.4731016076107046,
      1.4621660396804963,
      1.4514754552310856,
      1.441017212559501,
      1.4307798883242782,
      1.4207531139918441,
      1.4109274386898032,
      1.4012944001151633,
      1.3918463742023668,
      1.3825762840952436,
      1.3734775392025773,
      1.3645439818958087,
      1.3557698421966136,
      1.3471496983976219,
      1.3386784430255902,
      1.3303512529378856,
      1.3221635637100326,
      1.314111046787518,
      1.3061895900579341,
      1.2983953228304552,
      1.290724650626243,
      1.2831741398722363,
      1.2757404874104186,
      1.2684205147415313,
      1.261211161957339,
      1.2541094823027223,
      1.247112636934579,
      1.24021789010292,
      1.233422604521416,
      1.2267242369980362,
      1.2201203337332993,
      1.2136085270834485,
      1.2071865311597123,
      1.2008521384656217,
      1.1946032165688882,
      1.1884377047191363,
      1.182353640228966,
      1.1763492853496547,
      1.1704230038695833,
      1.1645731748205064,
      1.1587981983571929,
      1.1530964996670405,
      1.1474665319931134,
      1.1419067790889526,
      1.1364157570657427,
      1.130992015083327,
      1.125634136420637,
      1.1203407388152007,
      1.1151104742836826,
      1.1099420291936695,
      1.1048341238306325,
      1.0997855119240503,
      1.0947949797316754,
      1.0898613460600886,
      1.084983460785741,
      1.0801602046781504,
      1.0753904882913758,
      1.0706732514031654,
      1.066007461631651,
      1.061392114013313,
      1.0568262301718294,
      1.0523088479760596,
      1.0478390099077943,
      1.0434157843656142,
      1.039038269068685,
      1.0347055889886483,
      1.030416889012851,
      1.026171219277801,
      1.0219675794546355,
      1.0178050291992298,
      1.0136826718095402,
      1.009599642984961,
      1.00555512069541,
      1.0015483222973895,
      0.9975785002950163,
      0.9936449385192813,
      0.9897469490275812,
      0.9858838456587986,
      0.9820549191059442,
      0.9782594851557329,
      0.9744968912043765,
      0.9707665129774313,
      0.9670677514163405,
      0.9634000300843866,
      0.9597627932918056,
      0.9561555038693191,
      0.9525776421140809,
      0.9490287135370675,
      0.9455082459496184,
      0.942015777915503,
      0.9385508578284599,
      0.9351130436916687,
      0.931701902786735,
      0.9283170117919826,
      0.92495795623183,
      0.9216243304274678,
      0.9183157372373771,
      0.915031787740401,
      0.9117721011161437,
      0.9085363044688909,
      0.9053240324426766,
      0.9021349271871666,
      0.8989686381153724,
      0.8958248217585975,
      0.892703141515438,
      0.8896032676513166,
      0.8865248769382628,
      0.8834676524949158,
      0.880431283521045,
      0.8774154653342754,
      0.8744198992002242,
      0.8714443169814261,
      0.8684885557750525,
      0.8655524666149192,
      0.8626358812164601,
      0.85973861569114,
      0.8568604745146178,
      0.8540012531299424,
      0.8511607403120015,
      0.8483387199424567,
      0.8455349727091188,
      0.8427492774282952,
      0.8399814121973507,
      0.8372311548717403,
      0.8344982840387042,
      0.8317825795225332,
      0.8290838228819427,
      0.8264017974934413,
      0.8237362889335541,
      0.8210870854579125,
      0.818453977815443,
      0.8158367574308879,
      0.813235194482561,
      0.8106490491850121,
      0.8080780919899244,
      0.8055221022307656,
      0.8029808670878471,
      0.8004541806665169,
      0.7979418433901689,
      0.795443661248784,
      0.7929594454100712,
      0.7904890119890011,
      0.7880321813651485,
      0.7855887778594752,
      0.7831586297201866,
      0.780741568653226,
      0.7783374297630934,
      0.775946051190056,
      0.7735672742069699,
      0.7712009430640828,
      0.7688469045297612,
      0.7665050083483317,
      0.7641751067329251,
      0.7618570542664065,
      0.7595507081083908,
      0.7572559276949135,
      0.7549725746423257,
      0.7527005127030233,
      0.7504396078233061,
      0.7481897281515667,
      0.7459507438440641,
      0.7437225270241016,
      0.7415049518945548,
      0.7392978942918288,
      0.7371012322066856,
      0.7349148452889538,
      0.7327386150142488,
      0.7305724245967944,
      0.7284161590051388,
      0.7262697049787568,
      0.7241329507401669,
      0.7220057862163505,
      0.7198881028543186,
      0.7177797937422302,
      0.7156807534773935,
      0.7135908780859517,
      0.7115100651974283,
      0.7094382137118226,
      0.7073752239247467,
      0.7053209976789613,
      0.7032754381100281,
      0.7012384496215277,
      0.699209914769338,
      0.6971895511923988,
      0.6951770126799987,
      0.6931719985796931,
      0.6911743443406797,
      0.689184072468276,
      0.6872012112185863,
      0.6852257689361855,
      0.6832577385882178,
      0.6812971008520013,
      0.6793438261211484,
      0.6773978766568869,
      0.675459208306431,
      0.6735277716655684,
      0.6716035131218651,
      0.6696863759085159,
      0.6677763739386163,
      0.6658736868142229,
      0.6639784817332695,
      0.6620908801599794,
      0.6602109664904051,
      0.6583387952815236,
      0.6564743969385087,
      0.6546177822585687,
      0.6527689463538208,
      0.6509278716594316,
      0.649094530647035,
      0.6472688877934946,
      0.6454509008872452,
      0.6436405228463234,
      0.6418377027566067,
      0.6400423864382287,
      0.6382545175599549,
      0.6364740379558117,
      0.634700888316461,
      0.6329350082643458,
      0.6311763369832321,
      0.6294248131579557,
      0.6276803755211385,
      0.6259429629152536,
      0.6242125142258941,
      0.6224889685678641,
      0.6207722654195789,
      0.6190623447313673,
      0.6173591469321318,
      0.6156626130118722,
      0.6139726843502937,
      0.6122893029775195,
      0.6106124115045874,
      0.6089419531561683,
      0.607277871625408,
      0.6056201114126528,
      0.6039686175034661,
      0.6023233354284739,
      0.6006842114255521,
      0.5990511922720531,
      0.59742422542273,
      0.5958032588178188,
      0.5941882409967195,
      0.5925791211105959,
      0.5909758488846749,
      0.5893783746578651,
      0.5877866492191047,
      0.5862006238734224,
      0.5846202506100863,
      0.5830455835869418,
      0.5814767759645171,
      0.5799139818736437,
      0.5783574623985854,
      0.5768074630498836,
      0.5752641671129937,
      0.5737277085155371,
      0.5721981819626976,
      0.5706756512148339,
      0.5691601554317308,
      0.5676517143420903,
      0.5661503324833423,
      0.5646560021193696,
      0.5631687060910322,
      0.5616884199229253,
      0.5602151133450619,
      0.5587487472155666,
      0.5572892751946287,
      0.5558366497958301,
      0.5543908229872944,
      0.552951746434141,
      0.55151937176439,
      0.5500936503499484,
      0.5486745336710304,
      0.5472619734762895,
      0.5458559217899122,
      0.5444563309187059,
      0.5430631534845245,
      0.5416763424566111,
      0.5402958512859021,
      0.5389216338365476,
      0.5375536443429276,
      0.5361918373671307,
      0.5348361682147543,
      0.5334865922832238,
      0.5321430656055723,
      0.5308055446321267,
      0.5294739861906319,
      0.5281483475998717,
      0.5268285865544762,
      0.5255146611378699,
      0.5242065299370926,
      0.5229041520569184,
      0.5216074868805212,
      0.5203164941863088,
      0.5190311342400923,
      0.5177513676842984,
      0.5164771555295798,
      0.5152084592744556,
      0.5139452407708861,
      0.5126874622179555,
      0.5114350862066569,
      0.5101880757147571,
      0.5089463940763249,
      0.5077100049014954,
      0.506478872326805,
      0.5052529608342531,
      0.5040322349946504,
      0.5028166599993834,
      0.501606201302996,
      0.5004008247242012,
      0.49920049642023445,
      0.4980052717665623,
      0.4968152708996716,
      0.495630580479426,
      0.4944512604971876,
      0.49327735009528784,
      0.492108871940641,
      0.49094583593100005,
      0.48978824196664783,
      0.48863609870876495,
      0.4874894936211312,
      0.48634852512338117,
      0.4852132605941749,
      0.48408374326188397,
      0.48295999786471844,
      0.48184203459310415,
      0.48072985262515683,
      0.4796234425806809,
      0.47852278846168256,
      0.47742786923869895,
      0.47633865985935986,
      0.4752551326753169,
      0.4741772577651886,
      0.47310500352911733,
      0.4720383372262664,
      0.47097722525302466,
      0.469921633417762,
      0.46887152718765746,
      0.4678268718064202,
      0.4667876324363522,
      0.4657537741212695,
      0.4647252620793336,
      0.4637020616396893,
      0.46268413828093347,
      0.46167145754205086,
      0.4606639853151786,
      0.45966168770612337,
      0.4586645310225014,
      0.45767248181313697,
      0.4566855069839828,
      0.45570357366050573,
      0.4547266492029846,
      0.4537547012475273,
      0.4527876978496567,
      0.4518256071705639,
      0.4508683976725974,
      0.4499160381116288,
      0.4489684974790422,
      0.44802574504591697,
      0.44708775035724074,
      0.4461544831754058,
      0.44522591352604163,
      0.4443020117443802,
      0.4433827484204419,
      0.4424680943450072,
      0.4415580204555209,
      0.4406524981386965,
      0.43975149900007676,
      0.43885499470988637,
      0.4379629573328004,
      0.4370753590985253,
      0.43619217247816267,
      0.4353133702102774,
      0.43443897685502025,
      0.43356924370304595,
      0.43270448161579494,
      0.4318449167154217,
      0.4309907058270023,
      0.4301419542585227,
      0.42929872902250954,
      0.428461068868604,
      0.42762899156949424,
      0.4268024995297341,
      0.4259815837874725,
      0.4251662268560176,
      0.424356405178603,
      0.42355209072158345,
      0.42275325219514015,
      0.42195985605858666,
      0.4211718671608233,
      0.4203892491458744,
      0.41961196503180426,
      0.4188399772016737,
      0.4180732478754877,
      0.4173117392248573,
      0.41655541335975704,
      0.41580423249317217,
      0.41505815897808995,
      0.4143171552940051
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183324334879504,
      10.99495572790859,
      10.796963607566047,
      10.590984230563993,
      10.378641829267048,
      10.161643761287923,
      9.941561899600964,
      9.719823171963464,
      9.497784787142034,
      9.27673741236163,
      9.05787462926676,
      8.842241546625361,
      8.630707685787046,
      8.423954199064404,
      8.222466359465555,
      8.026537293553742,
      7.836280140473885,
      7.651646531794979,
      7.472450255050085,
      7.298394004641963,
      7.129096503046529,
      6.964114555298489,
      6.802966122736136,
      6.64514963494537,
      6.490160853465154,
      6.337508588608303,
      6.186728197030147,
      6.03739561700507,
      5.889127294224004,
      5.741585683824425,
      5.594492946990253,
      5.447636146163788,
      5.300871092998514,
      5.154112751831858,
      5.007328108892354,
      4.860553366597464,
      4.713899914509529,
      4.567551440473228,
      4.421759042837028,
      4.276825094496548,
      4.1330966667644855,
      3.990961566210471,
      3.850831011479277,
      3.7131332763289806,
      3.5783103282098887,
      3.446808137794279,
      3.3190654512378095,
      3.1954942844367693,
      3.0764679706026743,
      2.9623140183948906,
      2.8533091133341433,
      2.7496767217379583,
      2.6515897516977893,
      2.559172410611857,
      2.472500618293934,
      2.391592708367931,
      2.3164130661171884,
      2.246886614868246,
      2.1828931350064185,
      2.124268910236564,
      2.070835935524659,
      2.022391209854852,
      1.9786574078283012,
      1.9392556729036874,
      1.9037261823317944,
      1.871583703280962,
      1.8423182161966478,
      1.8154277081053871,
      1.7904896020352679,
      1.7671847065388677,
      1.7452763154554671,
      1.7245759582202873,
      1.704933052609655,
      1.686223454065737,
      1.6683484062067204,
      1.651227780780895,
      1.6347921954198923,
      1.6189808796631935,
      1.6037405068978003,
      1.5890241864070123,
      1.5747905942112213,
      1.561003124246749,
      1.547629047350723,
      1.5346392988653423,
      1.52200806657489,
      1.509712352451101,
      1.4977315974833767,
      1.4860473593943546,
      1.4746429267352694,
      1.4635027016973403,
      1.4526124495956412,
      1.4419592859855053,
      1.4315315101396304,
      1.4213185028037914,
      1.4113105962486518,
      1.4014991426939825,
      1.3918763264813885,
      1.3824348942301585,
      1.3731680918244242,
      1.3640696097047473,
      1.3551335368163044,
      1.346354319177491,
      1.3377267254824599,
      1.3292458167516568,
      1.3209069194280667,
      1.312705602327825,
      1.3046376564247169,
      1.2966991023330297,
      1.2888862514587835,
      1.2811955953733827,
      1.2736237590920154,
      1.266167494887894,
      1.258823676184061,
      1.2515892922620995,
      1.244461442999458,
      1.2374373336593048,
      1.2305142703138419,
      1.2236896553117045,
      1.2169609830627368,
      1.2103258356496185,
      1.2037818791978938,
      1.1973268601046523,
      1.1909586014964773,
      1.184675041332214,
      1.1784743584912345,
      1.1723548161175181,
      1.1663146963628717,
      1.1603523056129748,
      1.1544659789500529,
      1.1486540827486547,
      1.1429150173005365,
      1.137247218158424,
      1.1316491573294796,
      1.1261193438707664,
      1.1206563236930587,
      1.1152586800055884,
      1.1099250326296215,
      1.1046540377138667,
      1.0994443872995725,
      1.0942948085374515,
      1.0892040627151798,
      1.0841709447112864,
      1.079194282015439,
      1.0742729314373773,
      1.069405763126215,
      1.0645916691137554,
      1.0598295752908313,
      1.0551184395971978,
      1.0504572436026394,
      1.0458449748670327,
      1.0412806489473767,
      1.036763314671136,
      1.0322920164519716,
      1.0278656884156003,
      1.023483280478047,
      1.0191438030441184,
      1.0148463199590971,
      1.0105899272957275,
      1.006373707952773,
      1.0021967802795027,
      0.9980583087875113,
      0.9939574983075046,
      0.9898935898944916,
      0.9858658568988011,
      0.9818736017580263,
      0.9779161529466903,
      0.9739928630469662,
      0.9701031064629916,
      0.9662462775907918,
      0.9624217895435897,
      0.9586290728724042,
      0.9548675742301241,
      0.9511367554357527,
      0.9474360927861256,
      0.9437650761062746,
      0.9401232080464692,
      0.9365100037788268,
      0.9329249900255052,
      0.9293677046386477,
      0.9258376964273163,
      0.9223345244180418,
      0.9188577576169407,
      0.9154069767996285,
      0.9119817814902613,
      0.9085817819985016,
      0.9052065945088615,
      0.9018558414998166,
      0.8985291516435385,
      0.8952261598996936,
      0.8919465077530767,
      0.8886898431385079,
      0.8854558204607531,
      0.8822441003537251,
      0.8790543496883197,
      0.8758862416255964,
      0.8727394773329024,
      0.8696138665797319,
      0.8665092433754257,
      0.8634254206412669,
      0.8603621949742327,
      0.8573193504387786,
      0.8542966615490749,
      0.8512938957041136,
      0.8483108154373122,
      0.8453471800283445,
      0.8424027468890044,
      0.8394772726756113,
      0.8365705140291748,
      0.833682228657736,
      0.8308121756956175,
      0.8279601146291454,
      0.8251257816717888,
      0.8223089005059168,
      0.8195092053936658,
      0.8167264398799917,
      0.813960356017253,
      0.8112107134984914,
      0.8084772788498437,
      0.8057598248333571,
      0.8030581301098247,
      0.8003719786522429,
      0.7977011593667732,
      0.7950454658184953,
      0.7924046959091527,
      0.7897786517606391,
      0.787167139397189,
      0.7845699685817673,
      0.7819869527046495,
      0.7794179086229356,
      0.7768626563988716,
      0.7743210194464597,
      0.7717928242212001,
      0.7692779002667154,
      0.766776079906493,
      0.7642871981391819,
      0.761811092890591,
      0.7593476048087637,
      0.756896577060188,
      0.7544578555331679,
      0.7520312884829643,
      0.7496167263802944,
      0.7472140221674277,
      0.7448230313624087,
      0.7424436115541643,
      0.7400756224065289,
      0.7377189259677581,
      0.7353733864218214,
      0.7330388699420969,
      0.7307152446980922,
      0.728402380913901,
      0.726100150571026,
      0.7238084278239441,
      0.7215270886539419,
      0.7192560107269417,
      0.7169950737097764,
      0.7147441589769811,
      0.7125031496999675,
      0.710271930708034,
      0.708050388452059,
      0.7058384109176208,
      0.7036359797645634,
      0.7014431012437312,
      0.6992596331630695,
      0.6970854350820596,
      0.6949203742723234,
      0.6927643247885694,
      0.6906171663269427,
      0.6884787836306748,
      0.6863490657288712,
      0.6842279053374338,
      0.6821151987000417,
      0.6800108630852394,
      0.67791499358254,
      0.6758277681818666,
      0.6737493138769921,
      0.6716797165328598,
      0.6696190287131856,
      0.6675672761852433,
      0.6655244630700984,
      0.6634905760601291,
      0.661465587971324,
      0.6594494606150726,
      0.6574421470235101,
      0.6554435931367791,
      0.6534537395428346,
      0.6514725225110882,
      0.6494998750869613,
      0.6475357277667559,
      0.6455800093913735,
      0.6436326475490214,
      0.6416935688949367,
      0.6397626996699316,
      0.6378399657059126,
      0.635925292911516,
      0.6340186073482282,
      0.6321198355847807,
      0.6302289045166145,
      0.6283457414893143,
      0.6264702744467185,
      0.6246024319007758,
      0.6227421429516546,
      0.6208893377406414,
      0.6190439469877353,
      0.6172059019620767,
      0.6153751348080965,
      0.6135515784653817,
      0.6117351666912672,
      0.6099258339308385,
      0.6081235153152463,
      0.6063281468887741,
      0.6045396654049415,
      0.6027580083264427,
      0.600983113825792,
      0.5992149208117242,
      0.5974533690075587,
      0.5956983931045483,
      0.5939499352251201,
      0.5922080883272769,
      0.5904730238415467,
      0.5887450345302319,
      0.5870244078626009,
      0.5853113583491701,
      0.5836060424890858,
      0.5819085707799125,
      0.5802190173142785,
      0.578537427222519,
      0.5768638229265499,
      0.5751982088690184,
      0.5735405752670395,
      0.571890901258473,
      0.570249157196667,
      0.5686153067115212,
      0.5669893081113413,
      0.5653711157909594,
      0.5637606810152321,
      0.562157952766759,
      0.5605628784324075,
      0.5589754041011071,
      0.5573954750341144,
      0.5558230360548568,
      0.5542580316049026,
      0.5527004060518472,
      0.5511501039701474,
      0.5496070698358556,
      0.5480712486357282,
      0.5465425855860767,
      0.5450210262584121,
      0.5435065166790886,
      0.5419990034040568,
      0.5404984333649809,
      0.5390047539952473,
      0.5375179132801753,
      0.5360378597059663,
      0.5345645422091029,
      0.533097910304375,
      0.531637914086454,
      0.5301845042066293,
      0.5287376317232919,
      0.5272972483342828,
      0.5258633061014523,
      0.524435757709622,
      0.5230145562687557,
      0.5215996553709253,
      0.5201910090970828,
      0.5187885721007257,
      0.5173922994634534,
      0.5160021468565485,
      0.5146180702710846,
      0.5132400260277215,
      0.511867971092585,
      0.5105019360147018,
      0.5091420459434887,
      0.5077884021875213,
      0.5064410741836081,
      0.5051001064059834,
      0.5037655237910963,
      0.5024373360522634,
      0.5011155410510574,
      0.49980012754283704,
      0.49849107705076606,
      0.4971884107086458,
      0.4958922342345926,
      0.4946026365435043,
      0.4933196756449479,
      0.492043385716086,
      0.49077378243883496,
      0.4895108672805298,
      0.48825463080949044,
      0.48700505510725983,
      0.48576211584563583,
      0.48452578383226635,
      0.48329602625857115,
      0.48207280727294854,
      0.4808560892553956,
      0.4796458329143546,
      0.478441998039238,
      0.4772445434850033,
      0.4760534277635785,
      0.47486860909926004,
      0.47369004555849986,
      0.47251769522917686,
      0.4713515162466832,
      0.47019146689586766,
      0.4690375056360949,
      0.46788959122849494,
      0.46674768268494154,
      0.46561173934480804,
      0.4644817208756238,
      0.4633575872743183,
      0.46223929886895715,
      0.4611268161681829,
      0.46002010016899153,
      0.4589191122071275,
      0.4578238140119001,
      0.4567341675328676,
      0.45565013509715907,
      0.4545716793895354,
      0.45349876348412366,
      0.4524313506224946,
      0.45136940450057905,
      0.4503128890221989,
      0.449261768638334,
      0.4482160080003438,
      0.4471755720208529,
      0.4461404259857895,
      0.44511053543805573,
      0.444085970096868,
      0.4430670499592022,
      0.4420541224726831,
      0.44104743136475366,
      0.440047143753332,
      0.43905337010879936,
      0.4380661787242175,
      0.43708560685632813,
      0.4361116687544769,
      0.4351443616996802,
      0.43418367048215567,
      0.4332295707655314,
      0.4322820315534053,
      0.4313410169699072,
      0.43040648784459207,
      0.4294784023435307,
      0.42855671699767406,
      0.42764138721567024,
      0.42673236763963385,
      0.4258296125485976,
      0.42493307580188744,
      0.42404271141677163,
      0.4231584733824049,
      0.4222803158554288,
      0.4214081931515656,
      0.4205420598644979,
      0.41968187085824593,
      0.41882758148887345,
      0.4179791473692699,
      0.4171365376642502,
      0.41629977109189453,
      0.41546886413067924,
      0.4146438169658939,
      0.41382461784039704,
      0.41301124629342906,
      0.41220367557927584,
      0.41140187432532066,
      0.41060580781692907,
      0.4098154389645144,
      0.409030729159982,
      0.40825163856757385,
      0.40747812668997013,
      0.40671015247324,
      0.40594767486770816,
      0.40519065257396797,
      0.40443904439868095,
      0.4036928092026324,
      0.40295190600176434,
      0.4022162941191125,
      0.4014859331593128,
      0.40076078303474155,
      0.4000408039159286,
      0.39932595615713157,
      0.3986162006040931,
      0.39791149841944706,
      0.3972118110618601,
      0.39651710013854174,
      0.3958273277415692,
      0.395142456251069
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183305745656368,
      10.994899281235485,
      10.796858813439878,
      10.590827963675418,
      10.378439879837872,
      10.161407055662508,
      9.941300711859673,
      9.719549535172797,
      9.497512142711056,
      9.276479732040974,
      9.05764574008552,
      8.842054948552226,
      8.630575937096276,
      8.423888447537834,
      8.222476177542225,
      8.026630303369238,
      7.836462342155069,
      7.651922662168183,
      7.4728240092308695,
      7.2988685008354866,
      7.129674017133424,
      6.964797001479274,
      6.803755388079728,
      6.646048265546719,
      6.491171902684568,
      6.3386354957273445,
      6.187974659450956,
      6.038765464885204,
      5.890625818134677,
      5.743219038132063,
      5.596267618008364,
      5.449558837382234,
      5.302949542501885,
      5.156356392042805,
      5.009747145982751,
      4.863157198911503,
      4.7166969101514775,
      4.570548709522508,
      4.424962292937582,
      4.280239212501268,
      4.136725008815095,
      3.9948074423266537,
      3.8548982123970954,
      3.7174251898353643,
      3.5828277149641683,
      3.451548374916197,
      3.3240230238448025,
      3.2006618983875676,
      3.081836793532777,
      2.9678739383986406,
      2.859049001494424,
      2.755585058264461,
      2.6576551875308376,
      2.565383680662016,
      2.478844245752507,
      2.3980516923528077,
      2.3229697392853073,
      2.2535239123628115,
      2.1895922153071217,
      2.131010922046172,
      2.077603024872383,
      2.0291641678996437,
      1.9854132344391942,
      1.9459686011346884,
      1.9103694909429567,
      1.8781315093716973,
      1.8487470011546918,
      1.8217174400906107,
      1.7966240185298135,
      1.7731496500471131,
      1.7510593007764317,
      1.7301658574454142,
      1.7103199004726404,
      1.6913989612971638,
      1.6733044494159997,
      1.655957701960044,
      1.6392914058158026,
      1.6232465023735967,
      1.6077710742448248,
      1.5928193842902874,
      1.5783510463044483,
      1.5643303099452393,
      1.55072539153754,
      1.5375077464074318,
      1.5246518443476604,
      1.512134893429521,
      1.4999364781824776,
      1.488038248170809,
      1.4764236512917286,
      1.4650777044182755,
      1.4539867312964516,
      1.4431378549031808,
      1.43251915671694,
      1.422119801954961,
      1.4119299226129094,
      1.4019406890824586,
      1.3921440843421045,
      1.3825326312445312,
      1.3730993581353255,
      1.3638377586202872,
      1.3547417425447201,
      1.345805592872111,
      1.3370239287439443,
      1.3283916733656413,
      1.3199040261195323,
      1.311556437994079,
      1.3033445899214853,
      1.295264390599521,
      1.287312041424548,
      1.2794839517040997,
      1.2717766681749172,
      1.2641868685927538,
      1.2567113554326221,
      1.2493470502874462,
      1.2420909884836595,
      1.2349403140401172,
      1.227892274433974,
      1.2209442156013754,
      1.214093578108327,
      1.2073378928321101,
      1.2006747767302457,
      1.194101929221592,
      1.187617172071659,
      1.181218579027146,
      1.1749043102803198,
      1.1686725483341036,
      1.1625215033654916,
      1.156449417300148,
      1.1504545638175272,
      1.144535239462381,
      1.1386897755679795,
      1.1329165458875883,
      1.1272139665990841,
      1.1215804959671682,
      1.1160146340789099,
      1.110514922000437,
      1.1050799407172633,
      1.0997083105779166,
      1.0943986900778937,
      1.0891497751078745,
      1.0839602980629237,
      1.0788290266138731,
      1.0737547622475043,
      1.0687363398002618,
      1.063772626413596,
      1.058862520322087,
      1.05400494968088,
      1.0491988657901785,
      1.044443224395247,
      1.039737006877844,
      1.0350791410277609,
      1.0304684047842994,
      1.0259036181686556,
      1.0213836761302293,
      1.0169075386703268,
      1.0124742232408717,
      1.0080827977816362,
      1.0037323747434574,
      0.9994221062434294,
      0.9951511802954607,
      0.990918817299041,
      0.9867242666296719,
      0.9825668045996518,
      0.9784457318032974,
      0.9743603716255598,
      0.970310068386201,
      0.9662941858310632,
      0.9623121062239827,
      0.9583632291741983,
      0.9544469703009488,
      0.950562760650132,
      0.9467100460490969,
      0.9428882862986994,
      0.9390969545585259,
      0.9353355367217503,
      0.9316035309326367,
      0.9279004470433598,
      0.9242258064683924,
      0.9205791414705617,
      0.9169599947944524,
      0.9133679194946801,
      0.909802478502067,
      0.9062632441312287,
      0.9027497981909957,
      0.8992617314268828,
      0.8957986432623128,
      0.8923601415332181,
      0.8889458424709503,
      0.8855553702221113,
      0.882188356617194,
      0.8788444410864477,
      0.8755232716901752,
      0.8722245966490961,
      0.8689482478597886,
      0.8656940346875597,
      0.862461746116811,
      0.8592511552198115,
      0.8560620230093213,
      0.8528941013287162,
      0.8497471353457341,
      0.8466208659621625,
      0.8435150312798524,
      0.8404293673316092,
      0.837363583047905,
      0.8343173697289346,
      0.8312904285182688,
      0.8282824691889246,
      0.8252932097004035,
      0.8223223755069786,
      0.8193696988710022,
      0.816434918586798,
      0.8135177794532348,
      0.81061803190122,
      0.8077354318266153,
      0.8048697402214801,
      0.802020722857213,
      0.7991881500701754,
      0.7963717968024753,
      0.7935714423382184,
      0.7907868700913562,
      0.7880178674448494,
      0.7852642256917749,
      0.7825257398241844,
      0.7798022085766851,
      0.7770934339105975,
      0.7743992215661369,
      0.7717193805472204,
      0.7690537231152198,
      0.7664020647828328,
      0.7637642241048722,
      0.7611400227748342,
      0.758529285263515,
      0.7559318389667893,
      0.7533475143028782,
      0.7507761443015308,
      0.7482175648039758,
      0.7456716142056922,
      0.7431381333517909,
      0.7406169658908743,
      0.7381079578664034,
      0.7356109578176078,
      0.7331258165248301,
      0.7306523871111268,
      0.7281905249411779,
      0.7257400876223606,
      0.7233009350571912,
      0.7208729292426354,
      0.7184559342224237,
      0.7160499186942695,
      0.7136550430492553,
      0.7112714477719474,
      0.7088992222487256,
      0.7065383874053056,
      0.704188738358415,
      0.701849974990069,
      0.6995218307431534,
      0.6972040669854989,
      0.6948964683203155,
      0.6925988388750738,
      0.690311115009768,
      0.6880334180504568,
      0.6857658521356587,
      0.683508481046876,
      0.6812613360884464,
      0.6790244222397048,
      0.6767977234121727,
      0.6745812066992317,
      0.6723748259366,
      0.6701785243547919,
      0.6679922367128579,
      0.6658158912254661,
      0.6636494110595424,
      0.6614927155070816,
      0.6593457209394412,
      0.6572083415711858,
      0.6550804902649973,
      0.6529620788965801,
      0.6508530187390437,
      0.6487532207909902,
      0.646662596202586,
      0.6445810563937315,
      0.642508513220759,
      0.6404448790652566,
      0.6383900669213456,
      0.6363439905587155,
      0.6343065645320668,
      0.6322777043177631,
      0.6302573123076696,
      0.6282452766013313,
      0.6262414902336605,
      0.6242458518916619,
      0.6222582652481887,
      0.6202786381816611,
      0.6183068820061234,
      0.6163429112697963,
      0.6143866430521877,
      0.6124379968775353,
      0.6104968942011241,
      0.6085632584593328,
      0.6066370147672497,
      0.6047181131439454,
      0.6028066655744729,
      0.6009029877819972,
      0.5990074609843841,
      0.5971203737322418,
      0.5952419384984537,
      0.5933723073519144,
      0.5915115847407066,
      0.5896598372978039,
      0.587817101718153,
      0.5859833912149144,
      0.5841587004487383,
      0.5823430092503816,
      0.5805362862684157,
      0.5787384913575767,
      0.5769495774533528,
      0.5751694922186539,
      0.5733981792899594,
      0.5716355793554022,
      0.5698816306616598,
      0.5681362699692142,
      0.5663994329150422,
      0.5646710543956265,
      0.5629510689962434,
      0.5612394111375013,
      0.5595360153214836,
      0.5578408161978721,
      0.5561537485780514,
      0.554474747855043,
      0.5528037498383456,
      0.551140690842945,
      0.5494855078035865,
      0.5478381381606457,
      0.5461985200003893,
      0.5445665920685234,
      0.5429422937587637,
      0.5413255650514882,
      0.5397163465542482,
      0.5381145794920308,
      0.5365202058255689,
      0.5349331681414007,
      0.533353409618991,
      0.5317808740239689,
      0.5302155057273261,
      0.5286572498779977,
      0.5271060521186225,
      0.525561858708881,
      0.5240246257031754,
      0.5224944293375486,
      0.5209714060516126,
      0.5194556502456449,
      0.5179472237665126,
      0.51644616291066,
      0.5149524839406151,
      0.5134661878463567,
      0.5119872635530686,
      0.5105156905526143,
      0.5090514413749275,
      0.5075944829661586,
      0.5061448336743355,
      0.5047026022521056,
      0.503267877132556,
      0.5018407139182983,
      0.5004211427668247,
      0.49900917426379554,
      0.4976048040584732,
      0.49620801602221737,
      0.49481878528988776,
      0.49343708032858885,
      0.4920628644738872,
      0.4906960971675042,
      0.48933673502796476,
      0.48798473263073255,
      0.4866400429492007,
      0.48530261796757834,
      0.4839724089073921,
      0.4826493667049314,
      0.48133344197778644,
      0.480024585319937,
      0.47872274741781634,
      0.4774278790384228,
      0.4761399312457262,
      0.47485885528635896,
      0.4735846028056751,
      0.47231712593738073,
      0.4710563770373187,
      0.4698023089263195,
      0.4685548747264777,
      0.4673140279521622,
      0.46607972275413956,
      0.46485191363089423,
      0.4636305554707993,
      0.46241560354426187,
      0.46120701364900524,
      0.4600047418999615,
      0.4588087448251514,
      0.4576189793093706,
      0.4564354028183221,
      0.4552579731660638,
      0.45408676094100603,
      0.4529221162267574,
      0.4517644325360456,
      0.45061398682845616,
      0.44947096802203723,
      0.4483354997899204,
      0.44720765760707926,
      0.44608748145489663,
      0.4449749849660345,
      0.44387016238990123,
      0.442772993886208,
      0.4416834491908497,
      0.44060149050663155,
      0.43952707455219586,
      0.43846015418404144,
      0.4374006794949135,
      0.4363485986984261,
      0.4353038587260941,
      0.43426640564085206,
      0.43323618519974405,
      0.43221314282913753,
      0.43119722395438165,
      0.43018837412520516,
      0.4291865391914741,
      0.4281916651739858,
      0.42720369844066375,
      0.42622258583213607,
      0.4252483194569619,
      0.42428092640511966,
      0.42332041397259745,
      0.42236677321304383,
      0.4214199833162934,
      0.42048001482484076,
      0.4195468319536728,
      0.41862039430202086,
      0.41770065852259014,
      0.41678757888564144,
      0.4158811079865635,
      0.4149811975231972,
      0.4140877986623138,
      0.41320086202192996,
      0.4123203382110357,
      0.41144617778307674,
      0.4105783314180298,
      0.4097167500788874,
      0.40886138504117103,
      0.40801218774511394,
      0.4071691100549964,
      0.4063321043156903,
      0.4055011232071771,
      0.4046761196506708,
      0.40385704701997654,
      0.4030438591763898,
      0.40223651030108964,
      0.4014349550334706,
      0.4006391484072725,
      0.39984904588955417,
      0.3990646031912652,
      0.3982857764605461,
      0.39751252232417333,
      0.3967447977775987,
      0.3959825601525814,
      0.395225767110544,
      0.39447437678991276,
      0.39372834759815906,
      0.39298763838641937,
      0.3922522083451968,
      0.3915220170792213,
      0.3907970243523528,
      0.3900771905456452,
      0.38936247622630665,
      0.3886528422769221,
      0.38794825007647166,
      0.38724866119916646,
      0.3865540375463498,
      0.38586434137744513,
      0.3851795352910082,
      0.3844995822320696,
      0.38382444544970595,
      0.38315408853165495,
      0.38248847528711666,
      0.3818275699865246,
      0.3811713370171725,
      0.3805197410991145,
      0.3798727473234887,
      0.3792303210905041
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.18328705877565,
      10.994842542871222,
      10.79675324373775,
      10.590670299138994,
      10.37823608610739,
      10.161168501549712,
      9.941038523546531,
      9.71927671373127,
      9.497243120067774,
      9.276229434185282,
      9.057428893669096,
      8.841885879958394,
      8.630467956062823,
      8.423853378996744,
      8.22252420601098,
      8.026769738819029,
      7.836699697428704,
      7.652263149600409,
      7.473271775916291,
      7.299426960563646,
      7.1303458389087115,
      6.965584588719371,
      6.804661112393937,
      6.647074994912483,
      6.492323265189444,
      6.339915520763297,
      6.189387627798081,
      6.040315738643656,
      5.892319260744121,
      5.745062400730151,
      5.598267951016111,
      5.451723358635685,
      5.3052861639277324,
      5.158875091278236,
      5.01245868999937,
      4.866071409608642,
      4.719822426505076,
      4.573892745911222,
      4.428530408458571,
      4.284036106157733,
      4.140753800485435,
      3.999070214864055,
      3.85939801890928,
      3.722164725804763,
      3.5878069601127267,
      3.4567639103757504,
      3.3294681776227546,
      3.2063281616714696,
      3.087714090380007,
      2.9739509122086245,
      2.8653133030777873,
      2.7620242030270017,
      2.664256758815263,
      2.572135042275776,
      2.485729806882386,
      2.405053027206429,
      2.330068545305693,
      2.2607021094753574,
      2.196829970515583,
      2.138288939810554,
      2.0849031079453293,
      2.036466673890247,
      1.992695003049235,
      1.9532036483833524,
      1.9175307799099317,
      1.885193128681183,
      1.8556854525623234,
      1.8285127482403818,
      1.8032599719683655,
      1.7796125549187483,
      1.757336832325961,
      1.7362476477508375,
      1.7161959847142487,
      1.6970610316907127,
      1.6787447062439491,
      1.6611692099029476,
      1.644269410523591,
      1.6279880493459735,
      1.6122746881373842,
      1.597084797595112,
      1.5823789709075404,
      1.568122245237882,
      1.5542835157503956,
      1.5408350313898789,
      1.5277517972713472,
      1.5150112267927929,
      1.5025930331886168,
      1.4904789436086539,
      1.478652441742701,
      1.4670985465183197,
      1.45580362143163,
      1.444755210514265,
      1.4339418974317477,
      1.423352971846161,
      1.4129782815922138,
      1.402808702517933,
      1.3928359470847358,
      1.383052324519938,
      1.3734506745006434,
      1.3640243100923621,
      1.3547669683727321,
      1.3456727678173308,
      1.3367361709538454,
      1.3279519517988994,
      1.31931516829565,
      1.310821137319259,
      1.302465413015854,
      1.2942437737108317,
      1.2861522924686388,
      1.2781872795782865,
      1.2703451862336048,
      1.262622598564588,
      1.2550162315541724,
      1.2475229232791611,
      1.240139629045539,
      1.2328634159018739,
      1.2256914580121618,
      1.2186210317415913,
      1.211649510933677,
      1.204774362703348,
      1.1979931433065467,
      1.1913035309785913,
      1.1847034641512444,
      1.1781909924222678,
      1.1717641899605569,
      1.165421161892883,
      1.159160048416302,
      1.1529790276208312,
      1.1468763175468497,
      1.1408501778980544,
      1.1348989108134755,
      1.1290208612698955,
      1.1232144174819192,
      1.1174780105982791,
      1.1118101136017247,
      1.106209241150087,
      1.1006739489423494,
      1.0952028327199752,
      1.089794527214137,
      1.0844477051988504,
      1.0791610759936645,
      1.0739333854560569,
      1.0687634142653648,
      1.0636499444894565,
      1.0585917469687793,
      1.0535876318906348,
      1.0486364469044196,
      1.0437370556488432,
      1.0388883181861677,
      1.0340889861242397,
      1.0293378389858239,
      1.0246337287671012,
      1.0199755714789123,
      1.0153623394764948,
      1.0107930547720092,
      1.0062667839336727,
      1.0017826335482787,
      0.9973397461418105,
      0.9929372969609184,
      0.9885744910020888,
      0.9842505605913875,
      0.9799647636660582,
      0.9757163813329641,
      0.9715047166854865,
      0.9673290933533115,
      0.9631888541403913,
      0.9590833602090653,
      0.9550119898433672,
      0.950974137707638,
      0.946969213989844,
      0.9429966437857823,
      0.9390558666235338,
      0.9351463355175428,
      0.9312675165701747,
      0.9274188886122295,
      0.9235999426796426,
      0.9198101814798698,
      0.9160491191524879,
      0.9123162807151081,
      0.9086112019574488,
      0.9049334287668921,
      0.9012825172085257,
      0.8976580328338565,
      0.8940595505920776,
      0.8904866545303615,
      0.8869389376395997,
      0.8834160014396766,
      0.879917455710514,
      0.8764429330689261,
      0.8729921806108571,
      0.8695649939436,
      0.8661611454227932,
      0.8627803895441096,
      0.859422467149041,
      0.8560871088145237,
      0.8527740336706646,
      0.8494829252732735,
      0.846213452596487,
      0.8429652916786156,
      0.8397381251344828,
      0.8365316422263533,
      0.8333455384748899,
      0.8301795188802888,
      0.8270332996252303,
      0.8239066018013554,
      0.8207991503734775,
      0.8177106743077133,
      0.8146409066944317,
      0.8115895850197521,
      0.8085564507213758,
      0.8055412494530629,
      0.8025437311425778,
      0.799563650047515,
      0.796600764452993,
      0.7936548367238365,
      0.7907256334056117,
      0.7878129250195941,
      0.7849164859073345,
      0.7820360942776088,
      0.7791715322013455,
      0.7763225854029407,
      0.7734890433049633,
      0.7706706990216953,
      0.767867349047335,
      0.7650787932996683,
      0.7623048350619075,
      0.7595452809240878,
      0.7567999407247806,
      0.7540686273908768,
      0.7513511571335179,
      0.7486473491358272,
      0.7459570253931588,
      0.7432800108586309,
      0.7406161334363489,
      0.7379652236190728,
      0.7353271146851057,
      0.7327016427943179,
      0.7300886791790552,
      0.7274883117296455,
      0.7249007012617247,
      0.7223259484420037,
      0.7197641068128394,
      0.7172151920598088,
      0.7146791892328026,
      0.7121560588818783,
      0.709645710514416,
      0.7071478338979054,
      0.7046620381489908,
      0.7021881166405626,
      0.6997260711568197,
      0.6972758991151958,
      0.6948375736934445,
      0.6924110487699809,
      0.6899962630656252,
      0.6875931432181968,
      0.6852016062828806,
      0.6828215620722313,
      0.6804529145543015,
      0.6780955635594266,
      0.6757494057832091,
      0.673414335673656,
      0.6710902461801813,
      0.6687770199299821,
      0.6664745190652968,
      0.664182607150506,
      0.6619011533414054,
      0.659630031634206,
      0.6573691201500451,
      0.6551183007843137,
      0.6528774585578158,
      0.6506464814060579,
      0.6484252599736616,
      0.6462136874642983,
      0.6440116590873355,
      0.6418190719907312,
      0.6396358253744123,
      0.6374618201486008,
      0.6352969590010566,
      0.633141146059369,
      0.6309942868855628,
      0.628856288598909,
      0.626727059695151,
      0.6246065100454025,
      0.6224945508198132,
      0.6203910943868863,
      0.6182960543412892,
      0.6162093483295633,
      0.6141310905669602,
      0.6120616936939111,
      0.6100015523221541,
      0.6079509599667936,
      0.6059101298667932,
      0.6038792119349411,
      0.6018583058933549,
      0.5998474715514163,
      0.5978467375305906,
      0.5958561078521244,
      0.5938755672743931,
      0.5919050852939143,
      0.5899446198153294,
      0.587994119306024,
      0.586053525223506,
      0.5841227738323418,
      0.582201797085598,
      0.5802905240755355,
      0.5783888818359657,
      0.5764967956522427,
      0.5746141898974712,
      0.5727409883794693,
      0.5708771146075182,
      0.5690224920300623,
      0.5671770443717545,
      0.5653406955871867,
      0.5635133702203843,
      0.5616949932549669,
      0.5598854903198262,
      0.5580847876910976,
      0.55629281234494,
      0.5545094920870524,
      0.5527347554536387,
      0.5509685317146824,
      0.5492107508775588,
      0.5474613439202298,
      0.545720242363845,
      0.5439873785327964,
      0.5422626855859982,
      0.5405460975241403,
      0.5388375489941636,
      0.5371369850125317,
      0.5354444824306993,
      0.533760184994802,
      0.5320841904367026,
      0.5304165606279815,
      0.5287573294691783,
      0.5271065089543663,
      0.5254640942961197,
      0.5238300676699752,
      0.5222044011251283,
      0.5205870588744244,
      0.518977999276585,
      0.517377176186826,
      0.5157845708336175,
      0.5142002820037501,
      0.5126244085296517,
      0.5110570116981157,
      0.5094981240218934,
      0.5079477558260561,
      0.5064059002058141,
      0.5048725373141533,
      0.5033476371287166,
      0.5018311620807496,
      0.5003230689192224,
      0.4988233101219191,
      0.4973318348577301,
      0.4958485900892612,
      0.4943735210301433,
      0.4929065717732647,
      0.49144768578667475,
      0.4899968059730418,
      0.48855387505724734,
      0.48711883574244874,
      0.485691630890682,
      0.48427220352438327,
      0.4828604970817428,
      0.4814564552396962,
      0.48006002206727416,
      0.47867114220447216,
      0.47728976073668594,
      0.47591582327329174,
      0.4745492759246557,
      0.47319006517842943,
      0.47183813810661707,
      0.4704934422935964,
      0.46915592584160637,
      0.46782553724928794,
      0.46650222569808003,
      0.4651859603110757,
      0.4638769364169378,
      0.4625755929052147,
      0.4612823133728254,
      0.45999736252795936,
      0.45872091733252374,
      0.4574530899216243,
      0.4561939444192763,
      0.45494350959171737,
      0.4537017883485468,
      0.4524687643284266,
      0.4512444073988355,
      0.45002867704568583,
      0.4488215255219549,
      0.44762289977389597,
      0.44643274296614865,
      0.4452509957378148,
      0.4440775970416605,
      0.44291248464520716,
      0.4417555956270178,
      0.4406068668437466,
      0.4394662349119144,
      0.43833363659504937,
      0.4372090088849484,
      0.4360922890316695,
      0.43498342741671964,
      0.4338824368905658,
      0.43278933821166454,
      0.4317041297963799,
      0.4306267935369156,
      0.42955729948976135,
      0.42849560894375865,
      0.42744167699883656,
      0.42639545435809306,
      0.425356888645923,
      0.4243259251289652,
      0.42330250760610705,
      0.4222865790123462,
      0.4212780818664493,
      0.42027695820701405,
      0.41928315026435065,
      0.41829660029234045,
      0.41731725083215004,
      0.41634504469648564,
      0.4153799249539437,
      0.41442183519346415,
      0.41347071940826213,
      0.41252652213486174,
      0.41158918836467295,
      0.4106586634307015,
      0.40973489317479844,
      0.40881782396370897,
      0.40790740270580905,
      0.40700357676784715,
      0.4061062938926025,
      0.4052155024733288,
      0.40433115127028146,
      0.4034531895607282,
      0.40258156698445596,
      0.40171623369577264,
      0.40085714033852604,
      0.4000042379967882,
      0.3991574782230682,
      0.3983168129405787,
      0.3974821945750212,
      0.39665357598431283,
      0.39583091041481555,
      0.39501415143303414,
      0.3942032531633205,
      0.39339817011995515,
      0.3925988571673342,
      0.39180526958305606,
      0.3910173631472128,
      0.3902350939277745,
      0.3894584184229559,
      0.38868729355186404,
      0.38792167669734445,
      0.38716152534272574,
      0.3864067974721379,
      0.3856574514123983,
      0.3849134459301553,
      0.38417474015200126,
      0.38344129356213313,
      0.3827130659499855,
      0.38199003109147994,
      0.38127222697850904,
      0.3805596969674618,
      0.37985246083098234,
      0.37915052113252007,
      0.37845386818880294,
      0.3777624833332655,
      0.377076341587384,
      0.3763954134689522,
      0.37571966614773017,
      0.37504907036162194,
      0.3743836316724153,
      0.3737233623362363,
      0.3730682594609662,
      0.372418309311937,
      0.3717734903554501,
      0.3711337754594271,
      0.3704991333864654,
      0.36986953014456897,
      0.369244929818602,
      0.36862529521641707,
      0.36801058833193356,
      0.36740077044885716,
      0.3667958025467899,
      0.3661956454769292
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183268008201,
      10.9947842663457,
      10.796644161159282,
      10.59050654871279,
      10.37802319662544,
      10.160917587537117,
      9.940760874417787,
      9.718985655329401,
      9.496953484098835,
      9.27595658459988,
      9.05718800941375,
      8.84169172927777,
      8.63033426942473,
      8.423792375562448,
      8.222546431522142,
      8.026883931748845,
      7.836912722529261,
      7.652580491272635,
      7.473697822598897,
      7.299965185273433,
      7.130999125793496,
      6.966355543186449,
      6.805552301003299,
      6.648089385815876,
      6.493464657497962,
      6.341188152781403,
      6.190796047962732,
      6.041864583593343,
      5.894014632823559,
      5.746911306720194,
      5.600277711374165,
      5.45390147470735,
      5.307640862756763,
      5.161416703015667,
      5.01519838011165,
      4.869019393198624,
      4.722987723907785,
      4.577282934059587,
      4.432151384043671,
      4.287892948354079,
      4.1448500012790985,
      4.003407891638949,
      3.8639792226711576,
      3.7269914598824125,
      3.592879586568705,
      3.4620794740432017,
      3.3350201678108284,
      3.212108123101213,
      3.0937119479395054,
      2.980155262082467,
      2.8717117059697963,
      2.7686042637275547,
      2.6710060724886384,
      2.5790401163682755,
      2.4927735830762314,
      2.412216498693139,
      2.3373333393488975,
      2.268049546498379,
      2.204239594990842,
      2.1457413621851797,
      2.0923799916942847,
      2.0439481388940255,
      2.000157667178242,
      1.9606208118453006,
      1.924875314963201,
      1.8924390378719045,
      1.8628091834202363,
      1.8354942698830274,
      1.8100830308829552,
      1.7862634043962293,
      1.7638031224704698,
      1.7425190181618646,
      1.7222624113769427,
      1.7029146921162261,
      1.6843787449804108,
      1.6665769649478641,
      1.6494458326447237,
      1.6329299671922717,
      1.616980471650822,
      1.6015540741404832,
      1.5866123866951625,
      1.5721212644748694,
      1.558050253196934,
      1.5443721118132767,
      1.5310624006636127,
      1.5180991118594418,
      1.5054622198192784,
      1.4931335108406578,
      1.4810964878421446,
      1.4693361569055559,
      1.4578388429260987,
      1.4465920312423728,
      1.4355842313397127,
      1.4248048579022277,
      1.4142441679307691,
      1.4038933651257761,
      1.3937441617704622,
      1.383788549909169,
      1.3740190568962116,
      1.3644287190944522,
      1.355011026633749,
      1.3457598769145303,
      1.3366695337919794,
      1.3277345920620864,
      1.318949946810409,
      1.3103107663641467,
      1.3018124690558956,
      1.2934507025790516,
      1.285221410572029,
      1.277120801113233,
      1.2691452329119415,
      1.2612912051641458,
      1.2535553507842863,
      1.2459344303504898,
      1.2384253257754054,
      1.2310250351535033,
      1.2237306671321606,
      1.2165394359483122,
      1.209448656593907,
      1.2024557399770435,
      1.195558210630075,
      1.188753853545975,
      1.1820406064047881,
      1.1754164347410874,
      1.168879337721371,
      1.1624273523868158,
      1.1560585567899573,
      1.1497710723980428,
      1.1435630654741205,
      1.1374327476022577,
      1.1313783765397891,
      1.1253982561374574,
      1.1194907360001556,
      1.1136542109996983,
      1.1078871203443257,
      1.1021879467216238,
      1.096555200162822,
      1.090987376727515,
      1.0854830118169407,
      1.0800406928244377,
      1.0746590559937523,
      1.0693367835595071,
      1.0640726010207542,
      1.0588652747538678,
      1.0537136098149025,
      1.0486164424407391,
      1.0435726052626915,
      1.0385808227927935,
      1.0336397920500098,
      1.0287482870196405,
      1.023905149488038,
      1.019109280918039,
      1.0143596358613993,
      1.009655216342685,
      1.004995066904596,
      1.0003782705128241,
      0.9958039453177526,
      0.9912712412531479,
      0.9867793377412095,
      0.9823274413833739,
      0.9779147840938949,
      0.9735406212685502,
      0.9692042303945673,
      0.9649049097458109,
      0.9606419773154704,
      0.956414769681882,
      0.9522226409596334,
      0.9480649620904582,
      0.943941120271076,
      0.9398505182137904,
      0.9357925730362773,
      0.9317667162049866,
      0.927772392905281,
      0.9238090614497259,
      0.9198761927244508,
      0.9159732697755604,
      0.9120997877402405,
      0.9082552532075145,
      0.9044391837209864,
      0.9006511075258666,
      0.8968905634586458,
      0.8931571004210216,
      0.8894502770998234,
      0.8857696615765456,
      0.8821148312849526,
      0.878485390560016,
      0.8748810655160817,
      0.8713016276901441,
      0.8677468252131285,
      0.8642163642703632,
      0.8607099114379239,
      0.8572271298369182,
      0.8537676835041714,
      0.8503312383357364,
      0.8469174628089713,
      0.8435260285366872,
      0.8401566109603533,
      0.8368088897779095,
      0.8334825490056778,
      0.8301772774388231,
      0.8268927685450198,
      0.8236287205037411,
      0.8203848365452777,
      0.817160824775682,
      0.8139563982517181,
      0.8107712750012197,
      0.807605177937923,
      0.8044578347735819,
      0.8013289780285847,
      0.7982183448879309,
      0.7951256770545684,
      0.7920507209569323,
      0.7889932273951988,
      0.78595295174561,
      0.7829296536550552,
      0.7799230969887497,
      0.7769330525746736,
      0.7739592986156697,
      0.7710016162755361,
      0.7680597894855845,
      0.7651336051031713,
      0.7622228530166798,
      0.7593273262990344,
      0.7564468207490161,
      0.7535811352950783,
      0.7507300720416012,
      0.7478934359582485,
      0.7450710351786246,
      0.742262802622367,
      0.7394688855159379,
      0.736689406124375,
      0.7339244298449294,
      0.7311739769192115,
      0.7284380313666285,
      0.725716548130012,
      0.7230094588600711,
      0.720316676914484,
      0.7176381009749481,
      0.714973740042958,
      0.7123237425614667,
      0.7096879834877261,
      0.7070662115721726,
      0.7044581939700427,
      0.7018637135593718,
      0.6992825663787823,
      0.6967145597574808,
      0.694159510699861,
      0.6916172444188488,
      0.6890875931408676,
      0.6865703950777711,
      0.6840654938677586,
      0.6815727380009872,
      0.6790919801263351,
      0.6766230767462704,
      0.674165887713983,
      0.6717202760914694,
      0.6692861078334414,
      0.6668632515763687,
      0.6644515784562965,
      0.6620509620561186,
      0.6596612780756042,
      0.6572824042827436,
      0.6549142206958737,
      0.652556609132002,
      0.6502094532902962,
      0.6478726385826258,
      0.6455460522195433,
      0.6432295832720033,
      0.6409231223277533,
      0.6386265615809326,
      0.6363397947190345,
      0.6340627171159676,
      0.6317952256450927,
      0.6295372185186018,
      0.6272886113780844,
      0.6250496630509429,
      0.622820857380169,
      0.6206025617723546,
      0.6183950447361056,
      0.6161984965480051,
      0.6140130455761454,
      0.6118387713291763,
      0.6096757148816165,
      0.6075238868858609,
      0.6053832741876758,
      0.6032538450408965,
      0.6011355531401348,
      0.599028340993932,
      0.5969321425211478,
      0.5948468850315936,
      0.5927724907242901,
      0.5907088782681255,
      0.5886559635025612,
      0.5866136604061051,
      0.5845818817503455,
      0.5825605396961597,
      0.5805495458502024,
      0.5785488118257778,
      0.5765582494696176,
      0.5745777710867472,
      0.5726072894602346,
      0.5706467181495056,
      0.5686959713559868,
      0.5667549640168791,
      0.5648236120766842,
      0.5629018322762658,
      0.5609895422468107,
      0.5590866606554881,
      0.5571931069191104,
      0.5553088014012998,
      0.5534336655339356,
      0.5515676216347134,
      0.54971065666618,
      0.5478629087711384,
      0.5460245013735643,
      0.5441955136164046,
      0.5423759899617322,
      0.5405659481993753,
      0.5387653852535164,
      0.5369742821044092,
      0.5351926072048334,
      0.5334203193953483,
      0.5316573704287635,
      0.5299037065029127,
      0.5281592695435732,
      0.5264239986237393,
      0.5246979039657614,
      0.5229810977158879,
      0.5212736655861208,
      0.5195756564577908,
      0.5178870909773031,
      0.5162079679436877,
      0.5145382696037442,
      0.51287796533711,
      0.5112270150424161,
      0.5095853710643905,
      0.5079529803992755,
      0.5063297858623843,
      0.5047157274689824,
      0.5031107430148265,
      0.5015147688768188,
      0.4999277403234391,
      0.49834959209953217,
      0.49678025870220116,
      0.4952196745782996,
      0.4936677742177953,
      0.4921244924751585,
      0.4905897643810295,
      0.48906352546233267,
      0.4875457117566785,
      0.4860362598782701,
      0.4845351069570451,
      0.48304219073073823,
      0.48155744940843254,
      0.4800808219417967,
      0.47861224783918566,
      0.47715166708220386,
      0.47569905005170743,
      0.4742546217048299,
      0.47281885657585393,
      0.4713921650733572,
      0.46997482859041434,
      0.4685670333887237,
      0.4671688952691797,
      0.4657804782985119,
      0.4644018085212249,
      0.4630328838747691,
      0.461673681766875,
      0.4603241646208798,
      0.45898428384116036,
      0.45765398317904665,
      0.45633320087441054,
      0.4550218711664723,
      0.45371992540713924,
      0.45242729329035286,
      0.4511439033868052,
      0.4498696835974254,
      0.4486045615775123,
      0.4473484649042267,
      0.44610132139505326,
      0.4448630605447455,
      0.4436336750788026,
      0.4424131943620042,
      0.4412016203465923,
      0.43999893489551345,
      0.4388051053752103,
      0.4376200886187562,
      0.4364438337822814,
      0.43527628456256795,
      0.4341173808599824,
      0.4329670599434334,
      0.4318252572741376,
      0.4306919073220773,
      0.42956694386874567,
      0.42845030028118863,
      0.42734190985962467,
      0.4262417061839816,
      0.4251496231040811,
      0.4240655947298405,
      0.42298955565035656,
      0.4219214408994397,
      0.4208611860486912,
      0.41980872720014706,
      0.4187640010304388,
      0.4177269448873166,
      0.4166974966074791,
      0.4156755945646745,
      0.4146611777185822,
      0.4136541856139654,
      0.41265455843238946,
      0.4116622368669819,
      0.41067716210010874,
      0.4096992759094029,
      0.40872852074937416,
      0.4077648395551922,
      0.40680817567452493,
      0.4058584730291247,
      0.40491567617596036,
      0.4039797301665741,
      0.4030505804836615,
      0.4021281732076756,
      0.4012124549305236,
      0.40030337259406923,
      0.39940087371087,
      0.39850490628111634,
      0.39761541883795376,
      0.39673236039239146,
      0.3958556803028107,
      0.39498532850175005,
      0.3941212552913395,
      0.39326341141957505,
      0.3924117482592787,
      0.39156621750557613,
      0.39072677128105526,
      0.38989336595462243,
      0.3890660261682231,
      0.3882448083717871,
      0.38742973938050124,
      0.38662082479456306,
      0.38581805489472765,
      0.3850214089047682,
      0.3842308581957541,
      0.3834463684694767,
      0.38266790146267055,
      0.38189541607701377,
      0.3811288694219396,
      0.38036821731632214,
      0.3796134149123235,
      0.37886441670553955,
      0.3781211770261218,
      0.37738365017212033,
      0.3766517905176324,
      0.37592556833813334,
      0.37520499390047984,
      0.3744900707738058,
      0.37378078851524416,
      0.3730771266954951,
      0.3723790577426928,
      0.3716865489201432,
      0.3709995640310363,
      0.3703180642957432,
      0.3696420092448416,
      0.3689713571477179,
      0.3683060656652755,
      0.36764609188942404,
      0.3669913928127458,
      0.36634192541574145,
      0.36569764677921335,
      0.36505851412020546,
      0.364424484828507,
      0.3637955166048762,
      0.3631715674222032,
      0.36255259561448794,
      0.3619385598906237,
      0.3613294191455671,
      0.36072513275546747,
      0.3601256603398989,
      0.35953096200834345,
      0.35894099809894836,
      0.3583557293506592,
      0.35777511684760754,
      0.35719912198979736,
      0.35662770651563586,
      0.35606083255114584,
      0.3554984625071834
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.18324821160308,
      10.994722886374188,
      10.796528078784913,
      10.590330418440718,
      10.377790952714241,
      10.160638795858553,
      9.940445764812875,
      9.718646693305901,
      9.496604782522358,
      9.275612947857844,
      9.056864185537016,
      8.841402136905437,
      8.63009236411324,
      8.423610163552526,
      8.222434286321116,
      8.026850551060877,
      7.8369649331254125,
      7.652723609335277,
      7.473935889518235,
      7.300301276901278,
      7.1314358228062495,
      6.9668951012246225,
      6.806196893478715,
      6.648841348720312,
      6.494327118588191,
      6.342164857265902,
      6.191891219353591,
      6.043082595345698,
      5.895361148835019,
      5.748392923495762,
      5.601901428768858,
      5.455674587559943,
      5.309571525605175,
      5.163515172858133,
      5.017475817143491,
      4.8714862334512326,
      4.725653451117658,
      4.580155841889319,
      4.43523834188632,
      4.291200203796835,
      4.1483824298576275,
      4.00716834008113,
      3.8679706653223604,
      3.731217100271371,
      3.597341804668479,
      3.46677767647328,
      3.339950327428329,
      3.217264028373863,
      3.099085691445576,
      2.9857374934065666,
      2.87749198153841,
      2.774571967824959,
      2.677150381199585,
      2.5853478671970866,
      2.499227983787158,
      2.4187996810264556,
      2.344027884474379,
      2.274837244884092,
      2.211100340363436,
      2.1526562944004475,
      2.099330983620359,
      2.0509150733266996,
      2.0071170103624705,
      1.9675455220347446,
      1.9317378569333488,
      1.8992131882370515,
      1.869471205523999,
      1.8420240144872346,
      1.8164642536743478,
      1.7924822788535395,
      1.7698472129127711,
      1.748378161375044,
      1.7279272384657562,
      1.7083773938363718,
      1.6896327545889767,
      1.6716159404685325,
      1.6542644617887574,
      1.6375248230171051,
      1.621349674641955,
      1.6056970083652689,
      1.5905294606160532,
      1.5758137105192211,
      1.5615199594488167,
      1.547621481531241,
      1.5340942353413622,
      1.5209165281678394,
      1.5080687255530096,
      1.4955330005834875,
      1.4832930093413856,
      1.4713337303966463,
      1.4596414349618547,
      1.4482035376101314,
      1.4370084636363656,
      1.4260455346487637,
      1.4153049171657806,
      1.404777729714185,
      1.3944557736887921,
      1.3843313523268006,
      1.3743972252728347,
      1.3646465057297392,
      1.3550724388899222,
      1.345668615355749,
      1.3364290294650651,
      1.3273480385556176,
      1.318420327616531,
      1.3096408778671906,
      1.3010049402385635,
      1.292508012030909,
      1.2841458882632353,
      1.2759146526439733,
      1.267810557131645,
      1.259830002659664,
      1.2519695314095305,
      1.2442258196290188,
      1.2365956711784265,
      1.2290760111211272,
      1.2216638797401091,
      1.2143564270560963,
      1.2071509075643123,
      1.2000446753124951,
      1.193035341660094,
      1.1861207277990689,
      1.1792986858877148,
      1.1725671044976067,
      1.1659239134165629,
      1.1593670870190937,
      1.1528946461717489,
      1.1465046598094517,
      1.1401952457908495,
      1.133964569216315,
      1.127810799098769,
      1.1217321243014802,
      1.1157267952601406,
      1.1097931209033078,
      1.1039294658537557,
      1.0981342476113831,
      1.0924059344357997,
      1.0867430427144649,
      1.0811441349405186,
      1.0756078178482915,
      1.0701327403556096,
      1.0647175919278833,
      1.0593611009110033,
      1.0540620333460515,
      1.0488191861666787,
      1.0436312702338557,
      1.0384968981995109,
      1.0334147463537797,
      1.0283835650930175,
      1.023402170284918,
      1.0184694359647652,
      1.0135842883056072,
      1.0087457001446114,
      1.0039526863665398,
      0.9992042999879643,
      0.9944996292447191,
      0.9898377941548772,
      0.9852179445900334,
      0.9806392579720862,
      0.9761009373579795,
      0.9716022099626911,
      0.9671423255099854,
      0.9627205552248587,
      0.9583361903487411,
      0.9539885415511524,
      0.949676937712442,
      0.9454007250952605,
      0.9411592667017173,
      0.9369519416134675,
      0.9327781441628135,
      0.9286372835454717,
      0.924528783113065,
      0.9204520800070645,
      0.9164066246768473,
      0.9123918802318975,
      0.908407322289788,
      0.9044524385069398,
      0.900526727996089,
      0.8966297010374452,
      0.8927608788303021,
      0.8889197932852523,
      0.8851059864512941,
      0.8813190178681145,
      0.877558541579908,
      0.8738242566743724,
      0.8701158448316273,
      0.86643297684423,
      0.8627753159795201,
      0.8591425207884671,
      0.8555342468597424,
      0.8519501487449979,
      0.8483898815515925,
      0.8448531016473686,
      0.8413394678031695,
      0.83784864221642,
      0.8343802903503263,
      0.8309340817774274,
      0.827509690452003,
      0.824106795125943,
      0.8207250794508363,
      0.817364231869479,
      0.8140239459078532,
      0.810703920155909,
      0.8074038583452915,
      0.8041234692190631,
      0.80086246660097,
      0.797620569410303,
      0.7943975014705176,
      0.7911929914164983,
      0.7880067727010706,
      0.7848385834977027,
      0.7816881666007467,
      0.7785552693243051,
      0.7754396435517097,
      0.7723410455806442,
      0.7692592359667899,
      0.7661939794174161,
      0.7631450448362193,
      0.760112205164261,
      0.7570952636683432,
      0.7540942208958729,
      0.7511091522687803,
      0.7481400800953182,
      0.7451869849869136,
      0.74224981404219,
      0.7393284878099096,
      0.7364229054902448,
      0.7335329495078097,
      0.7306585569635294,
      0.7277999206342383,
      0.7249572384252444,
      0.7221306314672031,
      0.7193201594970454,
      0.7165258339192713,
      0.7137474931916225,
      0.7109847588673881,
      0.7082372648240424,
      0.7055046826486691,
      0.702786715290875,
      0.7000830914582027,
      0.6973935615018134,
      0.6947178936106583,
      0.6920558711434368,
      0.6894072902510281,
      0.6867719579361572,
      0.6841496903664749,
      0.6815403116907441,
      0.678943652744589,
      0.6763595503291372,
      0.6737878465261714,
      0.6712283880736089,
      0.6686810258251036,
      0.6661456142924472,
      0.6636220113707442,
      0.661110078246694,
      0.6586096789039032,
      0.6561206799620316,
      0.6536429507221597,
      0.6511763626553493,
      0.6487207895290816,
      0.646276107204669,
      0.6438421936398302,
      0.641418928766106,
      0.639006217331729,
      0.6366043380766959,
      0.6342137915642168,
      0.631834952913468,
      0.6294680931842865,
      0.6271134009510826,
      0.6247709998281167,
      0.6224409621778446,
      0.6201233199343246,
      0.6178180733126117,
      0.6155251978887235,
      0.6132446497162625,
      0.6109763698178573,
      0.6087202877092329,
      0.6064763239674111,
      0.6042443924865144,
      0.6020244019958623,
      0.5998162576341601,
      0.5976198618720056,
      0.595435115422062,
      0.5932619178852224,
      0.5911001682871665,
      0.5889497655590371,
      0.5868106086573089,
      0.5846825969854291,
      0.5825656304573372,
      0.5804596097367402,
      0.5783644363737992,
      0.5762800127884711,
      0.5742062424313039,
      0.5721430297153398,
      0.5700902802787593,
      0.5680479007900603,
      0.5660157989826959,
      0.563993896710898,
      0.56198227121995,
      0.5599810737761834,
      0.5579904021049398,
      0.556010312150237,
      0.5540408277288527,
      0.5520819474817219,
      0.5501336506969218,
      0.548195901769636,
      0.5462686534905548,
      0.5443518501413549,
      0.5424454293885387,
      0.5405493239497683,
      0.5386634628340344,
      0.5367877725159318,
      0.5349221985456801,
      0.5330668152625713,
      0.5312217301611286,
      0.529387006293131,
      0.5275626726938507,
      0.5257487322712469,
      0.5239451679271621,
      0.5221519472353665,
      0.5203690261246015,
      0.518596351808007,
      0.5168338650197952,
      0.5150815015151226,
      0.5133391933987727,
      0.5116068702604936,
      0.5098844600461048,
      0.5081718893350119,
      0.5064690841710877,
      0.504775970304118,
      0.503092473301335,
      0.5014185187577668,
      0.4997540327083425,
      0.49809894158134727,
      0.4964531723042303,
      0.4948166523581102,
      0.4931893098068926,
      0.4915710733774227,
      0.4899618725909253,
      0.48836163761568196,
      0.4867702993235407,
      0.4851879663386582,
      0.48361508745831366,
      0.4820521592355111,
      0.48049952885523745,
      0.4789574275864218,
      0.4774260015527017,
      0.475905334118052,
      0.47439546235571306,
      0.4728963893616016,
      0.47140809347187945,
      0.46993053477264163,
      0.46846366029814235,
      0.46700740768066906,
      0.4655617077228988,
      0.464126486512205,
      0.46270166680432745,
      0.46128716916458967,
      0.4598829128199395,
      0.45848881627535854,
      0.457104797671688,
      0.45573077503861015,
      0.4543666666984909,
      0.4530124573494782,
      0.45166817721529806,
      0.45033382709594677,
      0.4490093852965566,
      0.44769481380893833,
      0.44639006270401654,
      0.4450950736671528,
      0.4438097822812476,
      0.44253411990533914,
      0.44126801495180373,
      0.44001139387195576,
      0.4387641819548016,
      0.4375263037391795,
      0.4362976835744108,
      0.43507824572070475,
      0.43386791462632784,
      0.4326666151529388,
      0.4314742724452145,
      0.4302908122579849,
      0.4291161609789001,
      0.4279502456016019,
      0.42679299377565993,
      0.42564433375645616,
      0.42450419448286586,
      0.4233725055546705,
      0.4222491971602345,
      0.42113420023427406,
      0.42002744646445533,
      0.41892886822345216,
      0.41783839845142995,
      0.41675597066694015,
      0.41568151913126,
      0.41461497878568326,
      0.41355628519021076,
      0.41250537448900204,
      0.4114621834534517,
      0.4104266494246265,
      0.40939871040965214,
      0.4083783048996256,
      0.4073653720959295,
      0.4063598516798733,
      0.4053616840413984,
      0.4043708101277822,
      0.40338717139549746,
      0.4024107098649229,
      0.40144136807445396,
      0.40047908913758923,
      0.39952381669952514,
      0.39857549486954186,
      0.3976340684090468,
      0.3966995538676393,
      0.39577201557033403,
      0.39485148507400103,
      0.39393796895238015,
      0.3930314559239971,
      0.39213192193075685,
      0.39123933371983516,
      0.3903536514756618,
      0.38947483079207695,
      0.38860282416911957,
      0.3877375819127667,
      0.38687905287375995,
      0.38602718495145844,
      0.3851819255683925,
      0.38434322183695563,
      0.38351102095380607,
      0.38268527008471653,
      0.38186591665626957,
      0.3810529084187528,
      0.38024619345885863,
      0.37944572018759964,
      0.3786514376089971,
      0.37786329487769216,
      0.3770812527338445,
      0.37630531687176144,
      0.3755354929941012,
      0.3747717709343669,
      0.3740141292467352,
      0.37326253853288227,
      0.37251696367096016,
      0.37177736536157957,
      0.3710437014549886,
      0.37031592788580875,
      0.36959399937128845,
      0.3688778696467125,
      0.3681674921294366,
      0.36746281997095526,
      0.3667638063109292,
      0.36607040430169874,
      0.36538256731079105,
      0.36470024902206866,
      0.3640234033593774,
      0.3633519844872618,
      0.3626859470409963,
      0.36202524597654673,
      0.36136983657389954,
      0.3607196745175847,
      0.36007471595292195,
      0.3594349173910088,
      0.3588002356656522,
      0.35817062796740584,
      0.3575460519548834,
      0.3569264656640894,
      0.35631182759718993,
      0.3557020965066925,
      0.35509723151169764,
      0.35449719201135066,
      0.3539019379298694,
      0.35331142960716877,
      0.35272562763957915,
      0.3521444929250004,
      0.351568039900455,
      0.35099631689937955,
      0.35042934743905757,
      0.3498671367599868,
      0.3493096769447537,
      0.3487569506142238,
      0.34820893377487283,
      0.3476655976745792,
      0.34712691025960957,
      0.3465928371861405,
      0.34606334241635606
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183227520843815,
      10.99465817628808,
      10.796404655728844,
      10.590141416590557,
      10.377538719557982,
      10.160331100766854,
      9.94009176743259,
      9.718257948418584,
      9.49619459795952,
      9.275195469049184,
      9.056453623352212,
      8.841012446829463,
      8.629736610007486,
      8.423300022209174,
      8.222179843701868,
      8.026660241411168,
      7.836845414807848,
      7.652679935969402,
      7.4739718370950845,
      7.300419577135805,
      7.13163861586731,
      6.967184156305279,
      6.80657385312207,
      6.649307946019719,
      6.494885812341188,
      6.34281871524853,
      6.192643799117392,
      6.043937694705952,
      5.896323830710028,
      5.749469200709655,
      5.603097803184391,
      5.45699797106426,
      5.311029815328222,
      5.165118323247361,
      5.019234746045454,
      4.873411400304606,
      4.72775462839776,
      4.5824418908284645,
      4.437716987523227,
      4.293878756318286,
      4.15126706973779,
      4.0102634825274555,
      3.8712806572423637,
      3.734746369266465,
      3.6010946125428087,
      3.470755857121612,
      3.3441524608204,
      3.221686248385887,
      3.103722378927479,
      2.9905814865351625,
      2.8825351590009003,
      2.779805796285659,
      2.6825649834932666,
      2.590930624470247,
      2.50496317772424,
      2.4246707271088472,
      2.3500184524380296,
      2.2809300636216894,
      2.217276092568426,
      2.1588967461225357,
      2.1056182717219962,
      2.0572285864007833,
      2.013433574230225,
      1.973837951399856,
      1.9379784992101532,
      1.9053759695712797,
      1.8755321380953713,
      1.8479630559631384,
      1.8222654522992878,
      1.7981320545536845,
      1.775333266874176,
      1.7536909070247662,
      1.7330576782785265,
      1.713317656727853,
      1.6943767563118417,
      1.6761577922850883,
      1.65859876214899,
      1.6416479093766998,
      1.6252594195260832,
      1.6093925385967043,
      1.5940109212607918,
      1.5790820666094414,
      1.5645768301468945,
      1.550469001597245,
      1.5367349395901708,
      1.5233532551826678,
      1.5103045385794784,
      1.4975711215810648,
      1.485136872788333,
      1.4729870184687668,
      1.4611079807307343,
      1.449487163740782,
      1.4381128891212156,
      1.4269743691018952,
      1.4160616692510384,
      1.4053658167250078,
      1.394878498644972,
      1.384591903809592,
      1.3744986784737316,
      1.3645918870683624,
      1.3548649771650005,
      1.345311748280532,
      1.3359263239551857,
      1.3267030739350822,
      1.317636445616158,
      1.3087211494930229,
      1.2999522007171447,
      1.2913248900069374,
      1.2828348208367792,
      1.2744779156718105,
      1.2662502885049547,
      1.2581482169236666,
      1.2501681319673161,
      1.2423066097377553,
      1.2345603629123336,
      1.2269262333578974,
      1.219401185160733,
      1.2119822980967125,
      1.204666761870604,
      1.1974519792879859,
      1.190335616749171,
      1.1833154069389336,
      1.176389122986571,
      1.1695545630470867,
      1.1628095260646882,
      1.156151862695794,
      1.149579486040867,
      1.1430903714771283,
      1.1366825547605253,
      1.1303541306991374,
      1.124103251646793,
      1.1179281256751599,
      1.1118270152486183,
      1.1057982350893183,
      1.0998401510718656,
      1.0939511780201954,
      1.0881297783472412,
      1.0823744603743324,
      1.076683776642483,
      1.0710563223238982,
      1.0654907338914057,
      1.059985687797986,
      1.0545398986115566,
      1.0491520798360905,
      1.0438207963015336,
      1.038544611406375,
      1.0333221711527616,
      1.028152194445381,
      1.0230334647721926,
      1.0179648231059397,
      1.0129451622745977,
      1.007973421626691,
      1.0030485828009965,
      0.9981696659373335,
      0.9933357264780903,
      0.9885458525593727,
      0.983799162431181,
      0.9790948026180611,
      0.9744319460060894,
      0.9698097901105178,
      0.9652275559307417,
      0.9606844864779799,
      0.9561798456366907,
      0.9517129170552748,
      0.9472830034731473,
      0.9428894258750836,
      0.938531522676949,
      0.9342086488416634,
      0.9299201754850206,
      0.9256654889559637,
      0.9214439905606593,
      0.9172550959145064,
      0.9130982345332046,
      0.9089728492564775,
      0.9048783959118785,
      0.9008143427622327,
      0.8967801701431865,
      0.8927753601196339,
      0.8887993686984466,
      0.8848516613896394,
      0.880931800067752,
      0.8770394687574703,
      0.8731743483585424,
      0.8693361039444577,
      0.8655243890798188,
      0.8617388490126725,
      0.8579791237163916,
      0.8542448501784959,
      0.8505356639930117,
      0.8468512012279791,
      0.8431910996570356,
      0.8395549996642548,
      0.835942544621597,
      0.8323533819108538,
      0.8287871632702017,
      0.8252435450777603,
      0.8217221886750145,
      0.818222760681086,
      0.8147449328918933,
      0.8112883824771296,
      0.8078527921198159,
      0.8044378498451186,
      0.8010432214262886,
      0.7976685224925629,
      0.7943133775483254,
      0.7909774302923392,
      0.7876603408992052,
      0.7843617840898323,
      0.7810814474780295,
      0.7778190300876456,
      0.7745742411389404,
      0.7713468572374881,
      0.7681369438642659,
      0.7649446262241699,
      0.7617699610424938,
      0.7586129511186557,
      0.7554735560047634,
      0.7523517004699573,
      0.7492472816372018,
      0.7461602345251089,
      0.743090750121004,
      0.7400390457340726,
      0.7370052516314319,
      0.7339894289258098,
      0.7309915834926985,
      0.7280116772806294,
      0.7250496380130297,
      0.722105366035243,
      0.7191787404636586,
      0.7162694836389868,
      0.7133771081599051,
      0.7105011549828242,
      0.7076412180519922,
      0.7047969347719939,
      0.7019679785783786,
      0.6991540526699077,
      0.6963548849617566,
      0.6935702238130195,
      0.6907998348477986,
      0.6880434980974567,
      0.6853010058637367,
      0.6825721607366833,
      0.6798567742712248,
      0.6771546656317599,
      0.6744656606076396,
      0.6717895908197716,
      0.6691262929880933,
      0.6664756084366311,
      0.6638373826565898,
      0.6612114647483548,
      0.6585977071733117,
      0.6559959657385921,
      0.6534060989246059,
      0.6508280005048717,
      0.6482618911971855,
      0.6457082680900924,
      0.6431675344620514,
      0.640639979553609,
      0.638125802629154,
      0.6356251319766532,
      0.6331380399717095,
      0.6306645549373754,
      0.6282046710321759,
      0.6257583551270997,
      0.6233255530846441,
      0.6209061946442883,
      0.6185001970317543,
      0.6161074679388121,
      0.6137279078577605,
      0.6113614120317598,
      0.6090078717481658,
      0.6066671755120325,
      0.6043392100790526,
      0.6020238612236143,
      0.5997210142446083,
      0.5974305542869361,
      0.5951523668358701,
      0.5928863378774717,
      0.5906323541576295,
      0.5883903032613477,
      0.5861600737917271,
      0.5839415556250901,
      0.5817346397328909,
      0.5795392183597667,
      0.5773551859387742,
      0.5751825950781937,
      0.5730216065040171,
      0.5708723217637914,
      0.5687347966126711,
      0.5666090513118314,
      0.564495078722512,
      0.5623928503487292,
      0.5603023216203693,
      0.5582234354416246,
      0.5561561251607499,
      0.5541003170728618,
      0.5520559321584635,
      0.5500228876740894,
      0.5480010978622029,
      0.5459904752080884,
      0.543990956711491,
      0.542002618768227,
      0.5400255663512297,
      0.5380598578485554,
      0.5361055161093554,
      0.534162536719777,
      0.5322308943793658,
      0.5303105478824272,
      0.5284014440005462,
      0.5265035206862029,
      0.5246167089466561,
      0.5227409346919212,
      0.5208761203336562,
      0.5190221858357345,
      0.5171790493720014,
      0.515346628026193,
      0.513524838205978,
      0.511713596102736,
      0.5099128178936669,
      0.5081224201451615,
      0.5063423198075281,
      0.5045724342599801,
      0.5028126815324806,
      0.501062980476475,
      0.49932325060591637,
      0.49759341219205316,
      0.49587348084245464,
      0.4941638273529241,
      0.4924649971379354,
      0.4907774105199325,
      0.4891013493997432,
      0.4874369936639109,
      0.4857844482859267,
      0.4841437630201018,
      0.48251494722293325,
      0.4808979806919886,
      0.4792928215512818,
      0.4776994123807758,
      0.4761176844582263,
      0.47454756117106833,
      0.4729889602029732,
      0.47144179513845313,
      0.4699059771021044,
      0.4683814155471802,
      0.4668680190875537,
      0.465365695789535,
      0.46387435379084985,
      0.46239394213055157,
      0.46092448554001586,
      0.4594659918769052,
      0.45801844172716977,
      0.4565817958337899,
      0.45515600054644656,
      0.45374099189631206,
      0.45233669858948733,
      0.450943044083021,
      0.44955994833508656,
      0.4481873289559335,
      0.4468251020945902,
      0.44547318301316796,
      0.4441314865293549,
      0.442799927429953,
      0.44147842073004534,
      0.4401668818040742,
      0.43886522654206966,
      0.43757337155703047,
      0.4362912340114418,
      0.43501873167351024,
      0.433755783202842,
      0.43250230803051304,
      0.43125822636811384,
      0.43002345911603046,
      0.428797927976414,
      0.42758155546589904,
      0.4263742648789259,
      0.4251759803035237,
      0.4239866264605614,
      0.4228061289508468,
      0.42163441399547164,
      0.4204714087370563,
      0.41931704095751104,
      0.418171239077011,
      0.41703393233255637,
      0.41590505067781036,
      0.4147845246594466,
      0.4136722855743892,
      0.4125682654502508,
      0.41147239682432774,
      0.4103846130828152,
      0.40930484811514417,
      0.4082330365037054,
      0.4071691135367325,
      0.40611301509558584,
      0.4050646776199596,
      0.4040241166519514,
      0.40299140138013145,
      0.4019665647839732,
      0.40094961229877857,
      0.3999405294570778,
      0.39893928757531133,
      0.39794584788774195,
      0.39696016424388614,
      0.3959821854988813,
      0.39501185712190556,
      0.39404912205377407,
      0.39309392173270896,
      0.3921461967070212,
      0.39120588688745933,
      0.39027293210217395,
      0.3893472719631463,
      0.38842884639322556,
      0.3875175955425038,
      0.3866134598577694,
      0.3857163802541563,
      0.3848262980330636,
      0.38394315503025017,
      0.38306689353592727,
      0.38219745629218055,
      0.38133478656804803,
      0.38047882815925055,
      0.37962952549123774,
      0.3787868233166559,
      0.37795067684076744,
      0.3771210886846515,
      0.3762980654093753,
      0.375481596504559,
      0.3746716591083214,
      0.3738682214085092,
      0.37307124529858293,
      0.3722806882724516,
      0.3714965048193508,
      0.3707186473492934,
      0.36994706660174476,
      0.36918171265844996,
      0.3684225351389786,
      0.367669483394495,
      0.3669225066233118,
      0.36618155429120514,
      0.36544657599224756,
      0.3647175215387488,
      0.3639943410770446,
      0.36327698517848483,
      0.3625654047283097,
      0.36185955106948264,
      0.36115937591882036,
      0.3604648313859615,
      0.3597758700443106,
      0.3590924768473473,
      0.3584147032752544,
      0.3577425861625831,
      0.35707613791403886,
      0.3564153532317949,
      0.355760214200331,
      0.35511069402751333,
      0.35446675958228624,
      0.3538283731458139,
      0.3531954939163025,
      0.3525680790443979,
      0.35194608412636486,
      0.3513294640475898,
      0.35071817311059456,
      0.350112165338841,
      0.34951139470286313,
      0.3489158153458972,
      0.3483253815298361,
      0.34774004775965656,
      0.3471597687810912,
      0.3465844996298986,
      0.3460141958854195,
      0.3454488134932033,
      0.3448883086143437,
      0.34433263790781915,
      0.3437817583564603,
      0.34323562737368324,
      0.3426942028353094,
      0.34215744293454875,
      0.3416253062162893,
      0.34109775176509455,
      0.34057473886026685,
      0.3400562271662082,
      0.3395421768983574,
      0.33903254853285664,
      0.3385273029241546,
      0.33802640137305745,
      0.33752980549235384
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183205913337172,
      10.994590066183674,
      10.796273777832045,
      10.589939403060693,
      10.377266317389113,
      10.159994617481228,
      9.939699265222668,
      9.717820030734382,
      9.495723719868275,
      9.274705062595158,
      9.055957302550613,
      8.84052364728173,
      8.629267949046355,
      8.422862796659356,
      8.221783807408636,
      8.026313523555908,
      7.836554435000596,
      7.652449450223855,
      7.473805242796664,
      7.30031923025656,
      7.1316061977355805,
      6.967220930102054,
      6.806680908913644,
      6.649486423410218,
      6.495137396148861,
      6.343145778852545,
      6.193049198426977,
      6.04442461494397,
      5.896896585968771,
      5.7501332028429575,
      5.60385903560716,
      5.457862939046854,
      5.312005848308133,
      5.166214376270407,
      5.0204611264966,
      4.874778647166969,
      4.729272856568734,
      4.584120585247862,
      4.439564786265476,
      4.295904082586627,
      4.153477460552829,
      4.01266498253082,
      3.8738787004548296,
      3.7375462980099377,
      3.604101790078499,
      3.4739744678597506,
      3.347583675229201,
      3.225328822229777,
      3.1075732598403683,
      2.9946359793506288,
      2.8867874427802525,
      2.7842494028292517,
      2.6871911109368627,
      2.5957270007169284,
      2.5099149592956755,
      2.4297629722497165,
      2.3552362564128977,
      2.2862570407620058,
      2.2226940747326562,
      2.1643884501243966,
      2.1111662853288227,
      2.06281261413074,
      2.0190307354626356,
      1.9794215789163918,
      1.9435213613453877,
      1.9108521477594955,
      1.880917817086564,
      1.8532381740092951,
      1.8274142117130234,
      1.8031415088841363,
      1.7801916086693776,
      1.7583886919438463,
      1.7375861205687348,
      1.7176690517268107,
      1.6985452763788185,
      1.6801383790457576,
      1.6623863194229918,
      1.6452383886139266,
      1.6286503101196441,
      1.6125825890797114,
      1.5969999043769216,
      1.5818705822166752,
      1.5671661400380785,
      1.5528608916347195,
      1.5389316043546026,
      1.525357202744856,
      1.5121185110982325,
      1.4991980302618793,
      1.4865797433863237,
      1.4742489476319292,
      1.4621921077476663,
      1.450396728536159,
      1.438851243159702,
      1.4275449162774185,
      1.4164678303895737,
      1.4056109542644306,
      1.3949658383230226,
      1.3845245397845132,
      1.3742795783480612,
      1.3642238966633302,
      1.3543508259129207,
      1.3446540539197902,
      1.3351275975553831,
      1.3257657780611862,
      1.316563198448254,
      1.3075147236062972,
      1.2986154618151322,
      1.2898607483792977,
      1.2812461264574364,
      1.2727672985214404,
      1.2644201591016206,
      1.2562007954583363,
      1.2481054726732845,
      1.2401306213518353,
      1.2322728265435863,
      1.2245288170970814,
      1.216895440978813,
      1.2093696357105415,
      1.2019485067491265,
      1.1946294779010675,
      1.1874101006094948,
      1.1802879796145194,
      1.173260776112565,
      1.1663262097989209,
      1.1594820600693694,
      1.1527261664506077,
      1.1460564284801749,
      1.1394708055609832,
      1.1329673158894618,
      1.1265440353360445,
      1.1201990966971063,
      1.113930688110204,
      1.1077370516097524,
      1.1016164816292833,
      1.0955673234098642,
      1.0895879715765575,
      1.0836768687394076,
      1.077832503567317,
      1.072053409154753,
      1.066338161738833,
      1.0606853794681945,
      1.0550937206701028,
      1.0495617534300152,
      1.044087946295679,
      1.038670828863889,
      1.033309011900217,
      1.0280011785215235,
      1.0227460758857096,
      1.01754250885643,
      1.0123893341633206,
      1.0072854553076471,
      1.0022298184136347,
      0.9972214088709728,
      0.9922592479529131,
      0.987342390375619,
      0.9824699217294474,
      0.9776409564943025,
      0.9728546363842852,
      0.9681101286667672,
      0.9634066246075221,
      0.9587433382467033,
      0.9541195054042535,
      0.949534382559289,
      0.9449872460115388,
      0.9404773907150071,
      0.9360041299033028,
      0.9315667940838852,
      0.9271647306224158,
      0.9227973030537986,
      0.9184638901205419,
      0.9141638856069393,
      0.9098966977491569,
      0.9056617329116589,
      0.9014583753352182,
      0.8972860243842201,
      0.8931441010964528,
      0.8890320464498214,
      0.8849493421656335,
      0.8808956146142225,
      0.8768705403552807,
      0.8728737749830237,
      0.8689049586068495,
      0.8649637201414265,
      0.8610496808764307,
      0.8571624572339896,
      0.8533016472068347,
      0.8494667885208126,
      0.8456574163463894,
      0.8418730813752016,
      0.8381133485268519,
      0.8343777958661222,
      0.8306660133218793,
      0.8269776019684071,
      0.8233121734620641,
      0.8196693491231491,
      0.816048759629004,
      0.812450044147825,
      0.8088728502346597,
      0.8053168332692147,
      0.8017816562995879,
      0.7982669895797428,
      0.7947725103093933,
      0.7912979022197612,
      0.7878428555648992,
      0.7844072648486364,
      0.7809912598784345,
      0.7775949183933338,
      0.7742182524164726,
      0.7708612220253813,
      0.7675237455101193,
      0.7642057079305107,
      0.7609070486605461,
      0.7576279847915506,
      0.7543687199265874,
      0.7511293664519203,
      0.7479099641840006,
      0.7447104954471797,
      0.7415308969786628,
      0.7383710696595718,
      0.7352308863018642,
      0.7321101981230761,
      0.7290088394688513,
      0.7259266317625872,
      0.7228633872025694,
      0.7198188538768061,
      0.7167925256966368,
      0.7137838623970002,
      0.710792389034922,
      0.7078176844834378,
      0.7048593718243781,
      0.7019171105855654,
      0.698990590623083,
      0.6960795268176314,
      0.6931836549777747,
      0.6903027284552901,
      0.6874365154632865,
      0.6845847966321256,
      0.6817473633303118,
      0.6789240160084168,
      0.6761145627647145,
      0.6733188188413193,
      0.6705366054719262,
      0.6677677491213113,
      0.6650120810129024,
      0.6622694821091063,
      0.6595401326659039,
      0.6568244976607505,
      0.6541229940374605,
      0.6514359173119447,
      0.648763467354447,
      0.6461057686084245,
      0.6434628862595341,
      0.6408348391145714,
      0.6382216097893011,
      0.6356231527440699,
      0.6330394002680796,
      0.6304702679057865,
      0.6279156583498032,
      0.6253754644231084,
      0.6228495716170757,
      0.6203378600409244,
      0.617840206144946,
      0.6153564837138094,
      0.6128865647947681,
      0.6104303206397299,
      0.6079876222070336,
      0.6055583405291464,
      0.6031423486264903,
      0.6007395240085356,
      0.598349744670038,
      0.5959728886972524,
      0.5936088345811784,
      0.5912574614760332,
      0.5889187078716219,
      0.5865927123050875,
      0.5842796044305129,
      0.5819794583093729,
      0.5796923048689913,
      0.5774181417254797,
      0.5751569407591268,
      0.5729086540248005,
      0.5706732185004287,
      0.5684505596125682,
      0.5662405943130404,
      0.5640432331064481,
      0.5618583817726059,
      0.5596859427641896,
      0.5575258161825545,
      0.5553779007673705,
      0.5532421056602276,
      0.5511184789470978,
      0.5490071340123583,
      0.5469081329542714,
      0.544821498591657,
      0.5427472236843113,
      0.5406852780162993,
      0.5386356140767529,
      0.536598171051925,
      0.5345728783881337,
      0.5325596580470942,
      0.5305584266819348,
      0.528569097003503,
      0.5265915790540854,
      0.5246257810361097,
      0.5226716099791915,
      0.5207289722980709,
      0.5187977742182172,
      0.5168779220957987,
      0.514969322633658,
      0.5130718830189784,
      0.5111855111612836,
      0.5093101155994476,
      0.5074456057643371,
      0.5055920233830241,
      0.5037497808687817,
      0.5019194494221301,
      0.5001014609504545,
      0.49829610224981236,
      0.49650355345945063,
      0.49472391607665434,
      0.4929572341121561,
      0.49120350952620756,
      0.48946271334609126,
      0.4877347941055134,
      0.48601968424528036,
      0.48431730467464246,
      0.4826275679930479,
      0.48095038091724635,
      0.47928564632885223,
      0.47763326459367805,
      0.47599313451340086,
      0.4743651540147309,
      0.4727492206546185,
      0.4711452594604001,
      0.46955329073581487,
      0.46797332530788077,
      0.4664053428414635,
      0.4648493004305089,
      0.46330513876731744,
      0.4617727867264067,
      0.4602521649893421,
      0.45874318836626465,
      0.4572457676370751,
      0.45575981091831264,
      0.454285224738471,
      0.45282191449510967,
      0.451369785262219,
      0.4499287421868748,
      0.44849869050286884,
      0.44707953584754195,
      0.4456711845528936,
      0.4442735437588712,
      0.44288652127312234,
      0.44151002563508795,
      0.44014396633308145,
      0.438788253717828,
      0.4374427990444098,
      0.43610751443932405,
      0.4347823129454344,
      0.43346710841549047,
      0.43216181561080963,
      0.43086635022500114,
      0.42958062883317016,
      0.42830456881737905,
      0.42703808849680314,
      0.42578110692933213,
      0.4245335440192087,
      0.423295320499386,
      0.4220663579664328,
      0.42084657876415216,
      0.41963590602135487,
      0.4184342637422954,
      0.41724157659315,
      0.41605777004622857,
      0.4148827703475339,
      0.41371650443506053,
      0.4125588999601699,
      0.41140993905622814,
      0.41026969045562023,
      0.4091381987694421,
      0.4080154750968481,
      0.40690150678341774,
      0.40579626406618147,
      0.40469970487554535,
      0.4036117784472886,
      0.40253242788486404,
      0.40146159208788795,
      0.4003992072069193,
      0.3993452074255797,
      0.3982995257095065,
      0.3972620944480856,
      0.3962328455333604,
      0.3952117109705948,
      0.3941986229286531,
      0.39319351389172386,
      0.39219631678594263,
      0.39120696487773904,
      0.39022539195248246,
      0.38925153246863853,
      0.3882853213064435,
      0.387326694026429,
      0.38637558677296374,
      0.38543193625608224,
      0.38449567963211345,
      0.3835667548182978,
      0.3826451003257765,
      0.3817306551957987,
      0.38082335901363606,
      0.3799231518981522,
      0.3790299746708851,
      0.37814379804981046,
      0.37726463352256856,
      0.3763924794478285,
      0.3755273180062176,
      0.37466911989589075,
      0.3738178476881499,
      0.37297345805914633,
      0.3721359036434426,
      0.371305134287084,
      0.37048109790833605,
      0.36966374132557744,
      0.3688530104952656,
      0.36804885092454753,
      0.3672512081578247,
      0.3664600334761379,
      0.3656753550274574,
      0.36489723269738505,
      0.36412569271131784,
      0.36336073714593836,
      0.3626023509809213,
      0.3618505067473453,
      0.36110516826504274,
      0.36036629315209034,
      0.3596338349549361,
      0.358907744143627,
      0.3581879691719466,
      0.35747445717331877,
      0.3567671548043441,
      0.3560660081189341,
      0.3553709629489792,
      0.354681965309302,
      0.35399896139537246,
      0.35332189763257804,
      0.352650720827453,
      0.3519853781929163,
      0.35132581727259754,
      0.3506719860442719,
      0.3500238329734579,
      0.34938130704327564,
      0.34874435770927453,
      0.3481129348303408,
      0.3474869887278296,
      0.34686647022074035,
      0.3462513306624473,
      0.34564152169890067,
      0.34503699558777984,
      0.34443770503572224,
      0.343843603164388,
      0.3432546434523249,
      0.3426707799575379,
      0.34209196713513496,
      0.34151815980849437,
      0.34094931334512313,
      0.34038538347821673,
      0.33982632633284987,
      0.3392720985038967,
      0.3387226569831829,
      0.3381779591895501,
      0.337637962872699,
      0.33710262624747867,
      0.3365719078749736,
      0.33604576669729214,
      0.3355241620736738,
      0.3350070538178417,
      0.3344944021095634,
      0.33398616728002617,
      0.3334823103103648,
      0.3329827924543382,
      0.3324875753578653,
      0.3319966209129788,
      0.3315098913411383,
      0.3310273493921818,
      0.330548958087342,
      0.33007468071718477,
      0.32960448099315853
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.18318345277032,
      10.994518827110902,
      10.796136064767023,
      10.589725447496264,
      10.376975381665329,
      10.159631643520855,
      9.939271272361847,
      9.71733671594692,
      9.49519672321666,
      9.274147125599718,
      9.055381456991265,
      8.839942822095079,
      8.628694328310711,
      8.42230730648484,
      8.221255877557477,
      8.025820984244348,
      7.8361034935776654,
      7.652044640798082,
      7.4734495164088,
      7.30001455049051,
      7.131353815188878,
      6.967021635214757,
      6.806535277064716,
      6.649395040786944,
      6.495101251066445,
      6.34316659457535,
      6.193129174794798,
      6.044566362381451,
      5.897103629834172,
      5.750410395649223,
      5.6042118771535865,
      5.45829755358836,
      5.312529110305628,
      5.1668348391301,
      5.021188926500428,
      4.87562431771144,
      4.730246754272001,
      4.585232700159986,
      4.440824533258587,
      4.297320848025799,
      4.155059973898146,
      4.014420735082725,
      3.875814393358142,
      3.7396687185493667,
      3.606417474246542,
      3.4764895782553964,
      3.3503016599481334,
      3.2282507149795086,
      3.1106982431310235,
      2.9979615076836432,
      2.8903099747578582,
      2.7879642175234878,
      2.691090338891751,
      2.5997994460872165,
      2.5141472970794534,
      2.4341415812178173,
      2.3597473626731347,
      2.2908851850692415,
      2.2274219534493196,
      2.169199480284605,
      2.116043620783277,
      2.0677363638219504,
      2.0239779306944192,
      1.9843657624399873,
      1.9484353985434517,
      1.9157101111772292,
      1.8856958890335107,
      1.8579162996298673,
      1.8319766205318977,
      1.8075756931499913,
      1.7844861489888808,
      1.762534053258718,
      1.7415739340223486,
      1.721491786817833,
      1.7021971933640843,
      1.6836145453983016,
      1.6656821417565695,
      1.6483495661637486,
      1.6315740689629512,
      1.6153174053068435,
      1.5995452724147936,
      1.5842268206758432,
      1.5693342286305079,
      1.5548423346306128,
      1.5407283176272564,
      1.5269714189761094,
      1.5135527015569725,
      1.500454839972851,
      1.4876619383755074,
      1.4751593715019984,
      1.4629336461032552,
      1.4509722800299836,
      1.4392636966923333,
      1.4277971326629633,
      1.4165626565572897,
      1.4055512424377326,
      1.394754448123843,
      1.384164307609084,
      1.373773293381196,
      1.3635742828656163,
      1.3535605284027243,
      1.3437256292932362,
      1.334063507232545,
      1.3245683839534845,
      1.3152347603972312,
      1.30605739850507,
      1.297031303868522,
      1.288151710368923,
      1.2794141112688855,
      1.270814298315539,
      1.2623482433705966,
      1.2540120682687623,
      1.245802039626742,
      1.2377145629062192,
      1.2297461773439797,
      1.2218934702924105,
      1.214153095080796,
      1.206521870487775,
      1.1989969357807615,
      1.1915756609556323,
      1.184255482194065,
      1.1770339036821802,
      1.169908498187465,
      1.162876907182255,
      1.1559368407365895,
      1.1490860763858963,
      1.1423224578033777,
      1.1356438942597669,
      1.1290483581892001,
      1.1225338840790249,
      1.1160985666107581,
      1.1097405588778422,
      1.1034580701822851,
      1.0972493650984323,
      1.0911127607622837,
      1.0850466255479374,
      1.0790493770540694,
      1.0731194805779671,
      1.067255447321312,
      1.0614558328429768,
      1.055719191209548,
      1.0500439394505028,
      1.0444285094969215,
      1.038871395545561,
      1.0333711680643123,
      1.027926470076835,
      1.0225360091650186,
      1.017198550675631,
      1.0119129124322832,
      1.006677959932378,
      1.0014926020263444,
      0.9963557876367173,
      0.9912665025502785,
      0.9862237667395819,
      0.9812266318576637,
      0.9762741793635591,
      0.9713655188717681,
      0.9664997861673967,
      0.9616761422599489,
      0.9568937716969355,
      0.9521518817148836,
      0.9474497007528048,
      0.9427864779572174,
      0.9381614822044652,
      0.9335740011504587,
      0.929023340562239,
      0.9245088236785716,
      0.9200297824621191,
      0.9155855269817508,
      0.9111753350437687,
      0.9067984712830924,
      0.9024542332901758,
      0.8981419503897221,
      0.8938609798486177,
      0.8896107041686028,
      0.8853905972154263,
      0.881200277379216,
      0.8770393693172156,
      0.8729074818542514,
      0.8688042124069658,
      0.8647291505313349,
      0.8606818808059857,
      0.8566619855674201,
      0.8526690466396585,
      0.8487026468769553,
      0.8447623714738755,
      0.8408478090966182,
      0.8369585525351864,
      0.8330941993356994,
      0.8292543524667657,
      0.8254386205133307,
      0.8216466179084393,
      0.8178779652039059,
      0.8141322893308456,
      0.8104092236987914,
      0.8067084078800612,
      0.8030294879478107,
      0.7993722640215111,
      0.795736825055279,
      0.7921232362368404,
      0.7885314908959664,
      0.7849615264902,
      0.7814132354916217,
      0.7778864747648221,
      0.7743812881387367,
      0.7708979160192233,
      0.7674365119691796,
      0.7639971410039854,
      0.7605797977613905,
      0.7571844212610089,
      0.7538109070042167,
      0.7504591160901509,
      0.7471288830006684,
      0.7438200216168996,
      0.7405323305018093,
      0.7372655966487832,
      0.7340195984192752,
      0.7307941085425834,
      0.7275888956600701,
      0.7244037260973625,
      0.7212382239409532,
      0.7180917937084564,
      0.714963876111516,
      0.7118539782754318,
      0.7087616620020857,
      0.705686534133349,
      0.7026282387086437,
      0.6995864504630052,
      0.696560869851418,
      0.6935512188227715,
      0.6905572372552835,
      0.6875786800695108,
      0.6846153150871871,
      0.6816669210958557,
      0.6787332864194617,
      0.6758142074059111,
      0.6729095779020279,
      0.6700196090223818,
      0.6671447372807228,
      0.6642853680108887,
      0.6614417830001298,
      0.6586141667143663,
      0.6558026274137428,
      0.6530072134021186,
      0.6502279260364555,
      0.6474647302716412,
      0.6447175625944226,
      0.6419863376170374,
      0.6392709532734067,
      0.6365712944810933,
      0.6338872367053585,
      0.6312186482397916,
      0.6285653922793369,
      0.6259273285634784,
      0.6233043144159824,
      0.6206962058466065,
      0.6181028582602197,
      0.6155241269279355,
      0.6129598676040017,
      0.6104099367813034,
      0.6078741920699251,
      0.6053524922422239,
      0.6028446974790168,
      0.6003508050628953,
      0.5978709672397443,
      0.5954052896947617,
      0.592953824002078,
      0.5905165797990085,
      0.5880935343290588,
      0.5856846403247322,
      0.5832898313645872,
      0.5809090270623464,
      0.5785421361449037,
      0.5761890592362617,
      0.573849691126671,
      0.571523922331116,
      0.5692116405526062,
      0.566912731571679,
      0.5646270820324877,
      0.5623545817194934,
      0.5600952429500925,
      0.5578491856027621,
      0.5556164813431563,
      0.5533971573550321,
      0.5511912068032356,
      0.5489985970699639,
      0.5468192758671521,
      0.5446531758297528,
      0.5425002186739677,
      0.5403603177376709,
      0.5382333803367504,
      0.5361193095378642,
      0.5340180053275264,
      0.531929365716715,
      0.5298532872493408,
      0.5277896660369303,
      0.5257383979987936,
      0.5236993790729183,
      0.5216725057284631,
      0.5196576749420688,
      0.5176547844268937,
      0.5156638024154953,
      0.5136850555300813,
      0.5117191368898288,
      0.5097665516235012,
      0.5078276364206837,
      0.5059026046722782,
      0.5039915785415573,
      0.5020946136261158,
      0.5002117167508305,
      0.4983428591650999,
      0.4964879864358156,
      0.49464702532364685,
      0.4928198891160716,
      0.49100648184285633,
      0.48920670070002387,
      0.4874204384988393,
      0.48564758497610194,
      0.4838880281675627,
      0.4821416550338313,
      0.4804083523084912,
      0.4786880698651578,
      0.4769808323549506,
      0.4752866367625078,
      0.47360544966916046,
      0.47193721561617774,
      0.47028186315024145,
      0.46863930943710724,
      0.4670094636120385,
      0.4653922293104974,
      0.4637875063378029,
      0.4621951922211555,
      0.4606151829108458,
      0.45904737357575615,
      0.45749165918976614,
      0.45594793483489393,
      0.45441609595171517,
      0.4528960386648004,
      0.4513876598791137,
      0.4498908571478456,
      0.44840552902372705,
      0.44693157510595966,
      0.44546889603826423,
      0.44401739335518187,
      0.4425769696352608,
      0.44114752834998555,
      0.43972897401959665,
      0.43832121219234604,
      0.4369241494761553,
      0.4355376933688364,
      0.4341617524203194,
      0.4327962360910902,
      0.43144105491800216,
      0.43009612024918853,
      0.42876134446366393,
      0.42743664086213573,
      0.4261219235339099,
      0.42481710760697383,
      0.42352210894003145,
      0.4222368444265517,
      0.4209612318936701,
      0.4196951897486125,
      0.41843867759892645,
      0.4171917648397624,
      0.41595450345414847,
      0.4147269075215012,
      0.41350896383798613,
      0.412300639640154,
      0.41110188817098786,
      0.40991265292323903,
      0.4087328703706453,
      0.4075624723168838,
      0.40640138731052955,
      0.40524954171651373,
      0.404106860651386,
      0.40297326853114424,
      0.40184868933549583,
      0.4007330470986649,
      0.39962626594080153,
      0.3985282704553213,
      0.3974389856129686,
      0.39635833707355345,
      0.3952862509393177,
      0.39422265401751905,
      0.3931674737031486,
      0.39212063814255443,
      0.3910820761188892,
      0.39005171688801554,
      0.38902949052422187,
      0.3880153278351483,
      0.3870091602277979,
      0.38601091983016383,
      0.385020539283968,
      0.38403795202173235,
      0.3830630921133879,
      0.38209589421610984,
      0.38113629362725177,
      0.3801842262880474,
      0.3792396287125631,
      0.37830247587038407,
      0.37737278019775583,
      0.3764505370716452,
      0.3755357253145909,
      0.3746283120853125,
      0.37372825617419775,
      0.3728355360121153,
      0.37195022199868966,
      0.3710723750282996,
      0.37020201933166363,
      0.369339153127456,
      0.3684837559214905,
      0.36763579382909534,
      0.36679522360157213,
      0.365961995447471,
      0.365136054939168,
      0.3643173444692359,
      0.3635058044403542,
      0.3627013738875352,
      0.3619039910693864,
      0.3611135939286924,
      0.3603301202714253,
      0.3595535079955652,
      0.3587836952179217,
      0.3580206205284783,
      0.3572642228387961,
      0.35651444151098277,
      0.3557712164368921,
      0.35503448799153375,
      0.35430419708952987,
      0.3535802852685751,
      0.35286269462189473,
      0.3521513677834126,
      0.35144624788873696,
      0.35074727856319265,
      0.35005440403835636,
      0.34936756906682537,
      0.34868671899114173,
      0.34801179966181844,
      0.34734275745861315,
      0.3466795392879956,
      0.3460220925057818,
      0.34537036501902524,
      0.3447243053135266,
      0.34408386225370885,
      0.3434489852657386,
      0.3428196242418369,
      0.34219572954831307,
      0.3415772521111287,
      0.34096414324858265,
      0.3403563548108099,
      0.339753839015278,
      0.3391565486144265,
      0.3385644368355678,
      0.3379774571955321,
      0.3373955636972729,
      0.33681871092654464,
      0.3362468537941392,
      0.33567994768600995,
      0.33511794843714343,
      0.33456081230637874,
      0.33400849582571374,
      0.33346095605732146,
      0.3329181504195483,
      0.33238003683243783,
      0.33184657349561364,
      0.3313177190488667,
      0.3307934324286151,
      0.3302736730432674,
      0.3297584008358208,
      0.3292475759411057,
      0.32874115896678935,
      0.32823911072887424,
      0.32774139256049784,
      0.32724796611325535,
      0.3267587932995746,
      0.32627383645230873,
      0.3257930583582984,
      0.3253164220643963,
      0.32484389095168426,
      0.3243754287215718,
      0.3239109994337112,
      0.3234505675833465,
      0.3229940979002253,
      0.32254155545354796,
      0.32209290559267534
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183160278624575,
      10.994444950826084,
      10.795992571789192,
      10.589501353598584,
      10.376668689716942,
      10.159246078520015,
      9.938812909041198,
      9.716814423004427,
      9.494621393819516,
      9.27353085777332,
      9.054736733502951,
      8.8392820948721,
      8.628029370939322,
      8.421648694299918,
      8.220612732598505,
      8.025200857972168,
      7.835512370215952,
      7.651486824918095,
      7.47292766297214,
      7.299530265646952,
      7.130907961020067,
      6.9666145792264365,
      6.8061671360036895,
      6.649065909959481,
      6.49481158655924,
      6.342917540675013,
      6.192922346830905,
      6.044403853788656,
      5.8969884680830065,
      5.750346913074955,
      5.604205121152925,
      5.458353287342327,
      5.312653972747928,
      5.167037133400792,
      5.021478586659553,
      4.8760118231055865,
      4.730742626186833,
      4.585847324894936,
      4.441567960432891,
      4.298202929985169,
      4.15609046051806,
      4.015608362707306,
      3.877166696168305,
      3.741193529527734,
      3.608122305468962,
      3.478382048080658,
      3.352387294385666,
      3.230532561679461,
      3.1131774667015857,
      3.0006374891714196,
      2.893180944769033,
      2.7910260565538016,
      2.694335846933587,
      2.6032185160053523,
      2.51772813554006,
      2.437871920440204,
      2.3636146092214165,
      2.294874171127641,
      2.2315163887078726,
      2.173383633092734,
      2.1203014959502773,
      2.0720482480766114,
      2.02832087488484,
      1.9887135382807568,
      1.952761103080683,
      1.9199880326091454,
      1.889902647782002,
      1.8620321855896287,
      1.8359861455743967,
      1.8114667784873857,
      1.788247799735052,
      1.7661568629497078,
      1.7450498967467747,
      1.724813453548084,
      1.7053588602788732,
      1.6866117859430059,
      1.6685108835157056,
      1.6510058582451212,
      1.6340548885391726,
      1.6176209690794146,
      1.601670808565521,
      1.5861743768749001,
      1.5711045118555638,
      1.5564365768592263,
      1.5421481637045296,
      1.5282188338891514,
      1.5146298928962887,
      1.5013641944434568,
      1.4884059692228107,
      1.4757406751318591,
      1.4633548673898829,
      1.4512360838180571,
      1.439372744879581,
      1.4277540658931807,
      1.4163701102771311,
      1.405211818237593,
      1.3942706900542294,
      1.3835386956736546,
      1.373008239155423,
      1.3626721266889932,
      1.3525235369844,
      1.3425559951164165,
      1.332763348551717,
      1.3231397454016325,
      1.3136796140700233,
      1.3043776450858608,
      1.2952287743771442,
      1.2862281678988028,
      1.277371248924395,
      1.268653745736201,
      1.2600715712456656,
      1.2516207901660537,
      1.2432976131019846,
      1.2350983914525593,
      1.2270196124033885,
      1.2190578932281952,
      1.2112099760511676,
      1.20347284100853,
      1.1958437524110244,
      1.1883200552463697,
      1.1808991493347922,
      1.1735784937267677,
      1.166355609481494,
      1.1592280815618718,
      1.1521935600212914,
      1.1452497601467406,
      1.1383944620853845,
      1.1316254919143702,
      1.1249407112978824,
      1.1183380538932346,
      1.1118155276848465,
      1.1053712107431288,
      1.0990032475376872,
      1.0927098456094413,
      1.0864892723046446,
      1.0803398521379148,
      1.074259963876117,
      1.0682480379090977,
      1.0623025542186166,
      1.0564219019258887,
      1.0506043915222874,
      1.044848416139045,
      1.0391524300808452,
      1.0335149565057091,
      1.0279345919103962,
      1.0224099989485924,
      1.0169398994809042,
      1.0115230689210342,
      1.0061583314171,
      1.0008445374512418,
      0.995580552911232,
      0.9903652833324728,
      0.9851976745486022,
      0.9800767096030207,
      0.9750014061423418,
      0.9699708137822346,
      0.9649840123100625,
      0.9600401098600615,
      0.9551382411630639,
      0.9502775661253969,
      0.9454572685850642,
      0.9406765552969572,
      0.9359346545882155,
      0.9312307910811631,
      0.9265641760996589,
      0.9219340454996827,
      0.9173396627348185,
      0.9127803163267492,
      0.9082553183496604,
      0.9037640025541098,
      0.899305722586534,
      0.8948798509640555,
      0.8904857776345066,
      0.8861230285337013,
      0.8817912388476021,
      0.8774900207117541,
      0.8732189676865798,
      0.8689776600087314,
      0.8647656684998252,
      0.8605825581098635,
      0.8564278904929662,
      0.852301226080898,
      0.8482021262195317,
      0.8441301543059637,
      0.8400848770490639,
      0.8360658654507105,
      0.8320726955110322,
      0.828104948660102,
      0.8241622123253349,
      0.8202440801281211,
      0.8163501521689979,
      0.81248028243757,
      0.8086345565303422,
      0.8048129872441652,
      0.8010155180162567,
      0.7972420375941257,
      0.7934923913383802,
      0.7897665321264055,
      0.78606467481749,
      0.7823869826542935,
      0.7787335200395664,
      0.7751042729250697,
      0.7714991653616191,
      0.7679180728121472,
      0.7643608328730677,
      0.7608272535844169,
      0.7573171204197662,
      0.7538302018722987,
      0.750366253957511,
      0.7469250234925595,
      0.7435062509243107,
      0.7401096726635709,
      0.7367350229317957,
      0.7333820352278841,
      0.7300504431647932,
      0.726739981442329,
      0.7234502209650597,
      0.7201805217945098,
      0.7169302933416837,
      0.7136990146327908,
      0.710486221832425,
      0.7072914985081474,
      0.7041144671343705,
      0.7009547824740335,
      0.6978121261333349,
      0.6946862023001997,
      0.691576734069744,
      0.688483460525051,
      0.6854061419655144,
      0.6823447897539447,
      0.6792996787648657,
      0.6762712398771888,
      0.6732598200390413,
      0.6702656504139167,
      0.6672888711580944,
      0.6643295509594526,
      0.6613877029968267,
      0.6584632967815491,
      0.6555562679514667,
      0.6526665261221888,
      0.6497939607938249,
      0.6469384462973187,
      0.6440998456425995,
      0.6412780132550528,
      0.6384727974223261,
      0.6356840421794476,
      0.632911588739746,
      0.6301552766287097,
      0.6274149445244367,
      0.6246904310365766,
      0.6219815752478565,
      0.6192882170968051,
      0.6166101976278411,
      0.6139473765819267,
      0.6112998108750503,
      0.6086676498536348,
      0.6060509744339891,
      0.6034498128916119,
      0.6008641529329553,
      0.5982939511403038,
      0.5957391403022153,
      0.5931996352378092,
      0.5906753370819412,
      0.5881661366812357,
      0.5856719175948709,
      0.5831925579208922,
      0.5807279320484222,
      0.5782779118065166,
      0.5758423677769219,
      0.5734211696304794,
      0.5710141867853539,
      0.5686213940853486,
      0.5662428998666242,
      0.563878774908536,
      0.5615290426405367,
      0.559193690263524,
      0.5568726775358463,
      0.5545659432508583,
      0.5522734105476567,
      0.5499949909444741,
      0.5477305871842743,
      0.5454800959956897,
      0.5432434096593345,
      0.5410204171729756,
      0.5388110057322091,
      0.5366150612843477,
      0.5344324715412624,
      0.5322631280028425,
      0.5301069216271481,
      0.5279637424394025,
      0.5258334802011772,
      0.5237162921186644,
      0.52161273428182,
      0.5195234150776203,
      0.5174487559729268,
      0.5153890283360462,
      0.5133443933138017,
      0.5113149312090524,
      0.5093006634336001,
      0.5073015683306118,
      0.5053175928277471,
      0.5033486611559569,
      0.501394681452101,
      0.4994555504453951,
      0.49753115647243956,
      0.49562138258695615,
      0.49372610824817087,
      0.49184521040757284,
      0.48997856491388764,
      0.48812604712171415,
      0.4862875973318758,
      0.4844632378417734,
      0.4826529626041941,
      0.48085673267351986,
      0.47907448538830144,
      0.47730614097559165,
      0.4755516074647588,
      0.4738107844111774,
      0.47208356549348696,
      0.47036984017096695,
      0.4686694955778861,
      0.4669824172867419,
      0.4653084902415838,
      0.46364759907495157,
      0.46199962870080735,
      0.46036446447287777,
      0.4587419924434161,
      0.45713209957061607,
      0.4555346736973716,
      0.45394960383585997,
      0.45237677994435027,
      0.4508160931377025,
      0.4492674356953654,
      0.44773070107110685,
      0.44620578385368365,
      0.4446925796523243,
      0.44319098523843564,
      0.4417008984597691,
      0.4402222184358194,
      0.4387548454506644,
      0.4372986806184612,
      0.43585362621137413,
      0.4344195855567362,
      0.4329964630636019,
      0.431584164199954,
      0.4301825954207695,
      0.4287916640979662,
      0.42741127860420997,
      0.426041348373002,
      0.424681864926874,
      0.4233329063243386,
      0.4219945134482471,
      0.4206666897335313,
      0.4193494116862181,
      0.41804263660844415,
      0.4167463081675656,
      0.4154603603887675,
      0.4141847206450365,
      0.4129193116804931,
      0.411664053132298,
      0.41041886270917766,
      0.40918365690386244,
      0.40795835169948025,
      0.40674286284019984,
      0.40553710612515653,
      0.4043409977519517,
      0.40315445432960384,
      0.40197739304416535,
      0.40080973169792394,
      0.3996513888003989,
      0.3985022836607721,
      0.3973623362017802,
      0.396231467105755,
      0.3951095978090905,
      0.39399665070246176,
      0.3928925487219804,
      0.39179721565413933,
      0.3907105759846081,
      0.38963255500276855,
      0.3885630786794531,
      0.38750207374930545,
      0.38644946764245397,
      0.3854051885958106,
      0.38436916541009336,
      0.3833413277168151,
      0.3823216057385529,
      0.38130993048289835,
      0.3803062335821429,
      0.37931046239355515,
      0.37832270537405144,
      0.37734311390892433,
      0.37637177943111116,
      0.3754087456837374,
      0.3744540222985309,
      0.3735075945865717,
      0.3725694305684221,
      0.37163948588018714,
      0.37071770748876953,
      0.36980403638258935,
      0.3688984093242035,
      0.36800076035719964,
      0.36711102176879423,
      0.36622912473953645,
      0.36535499986136605,
      0.3644885774234124,
      0.36362978792531825,
      0.3627785619543153,
      0.36193483052009223,
      0.3610985251104818,
      0.3602695776211702,
      0.35944792059143066,
      0.3586334871618033,
      0.3578262110586301,
      0.3570260266058312,
      0.3562328686871326,
      0.35544667288793014,
      0.35466737543567567,
      0.3538949132183636,
      0.3531292235757647,
      0.3523702446262782,
      0.35161791511262297,
      0.35087217427466555,
      0.3501329619271337,
      0.34940021866642346,
      0.348673885519533,
      0.3479539041035978,
      0.3472402165829298,
      0.346532765831777,
      0.3458314951406345,
      0.3451363484078087,
      0.34444727002674064,
      0.34376420508058336,
      0.34308709910622065,
      0.3424158980883682,
      0.3417505486841749,
      0.3410909980172442,
      0.34043719354945023,
      0.3397890834876825,
      0.3391466164809123,
      0.3385097416490906,
      0.33787840866443475,
      0.33725256768146894,
      0.3366321693198172,
      0.3360171645719163,
      0.33540750488971316,
      0.3348031422983141,
      0.3342040293080785,
      0.33361011877696106,
      0.33302136395223175,
      0.332437718653285,
      0.33185913720168236,
      0.3312855743019697,
      0.330716985114519,
      0.3301533251644295,
      0.3295945503659032,
      0.3290406170988015,
      0.3284914821848456,
      0.32794710287785633,
      0.3274074367411512,
      0.32687244181818154,
      0.3263420765375407,
      0.32581629965767184,
      0.32529507035216043,
      0.32477834820745477,
      0.32426609320916144,
      0.32375826564068283,
      0.32325482608416817,
      0.32275573574106775,
      0.3222609561053116,
      0.32177044893033796,
      0.32128417627323336,
      0.320802100679655,
      0.3203241849887014,
      0.3198503923551335,
      0.31938068634887207,
      0.3189150308267451,
      0.31845338997068245,
      0.3179957283141397,
      0.31754201074426913,
      0.3170922025179832,
      0.31664626915203553,
      0.31620417644110804,
      0.31576589065496435,
      0.31533137820268253,
      0.3149006058317859
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183136609125306,
      10.994369198722021,
      10.795844901727017,
      10.589269829143191,
      10.376350249878502,
      10.15884343705655,
      9.938331337959477,
      9.716262080993253,
      9.494008527328477,
      9.27286899410673,
      9.054037860399868,
      8.838558174703008,
      8.627291807733412,
      8.420907744792103,
      8.21987724078265,
      8.024478124684057,
      7.834808142252041,
      7.650805134151247,
      7.472270846005698,
      7.2988996450649015,
      7.130304090841893,
      6.966037490787623,
      6.805616581197426,
      6.648541591793044,
      6.494313528494639,
      6.342446415082141,
      6.192479295670419,
      6.0439905491202115,
      5.8966075275355285,
      5.750002236179891,
      5.603901375652073,
      5.458095929106086,
      5.312449430639152,
      5.1668935005762116,
      5.021405605794966,
      4.876019902922792,
      4.730842394961805,
      4.586049464344383,
      4.441883011567751,
      4.298641395714248,
      4.156662879046465,
      4.016324444935212,
      3.8780351183301276,
      3.7422229887304193,
      3.609320927175969,
      3.479758086151957,
      3.3539477635535224,
      3.232282104123837,
      3.1151188257143922,
      3.002771730602704,
      2.8955078478382053,
      2.7935419491410283,
      2.697033984151295,
      2.6060893446902096,
      2.5207611842024784,
      2.4410560985908445,
      2.3669384691352287,
      2.2983235821744556,
      2.235075907125668,
      2.1770382429950046,
      2.1240357326816137,
      2.0758427241246795,
      2.0321526148192217,
      1.992556359817566,
      1.9565884183167543,
      1.9237744641239236,
      1.8936252678999126,
      1.865671638283899,
      1.8395272403694876,
      1.814897676794419,
      1.791557787851762,
      1.7693370393855783,
      1.7480926158313344,
      1.7277118231717075,
      1.7081071684218465,
      1.6892059592662876,
      1.6709472656128925,
      1.6532809097550183,
      1.636165362331953,
      1.6195648502833637,
      1.6034470882817877,
      1.587782862889427,
      1.5725456698894604,
      1.557711397961265,
      1.5432580537455531,
      1.5291655214866684,
      1.515415353238653,
      1.5019905862584677,
      1.4888755825780595,
      1.4760558892183986,
      1.4635181154500918,
      1.4512498247643293,
      1.439239440792121,
      1.4274761637702122,
      1.4159500592704286,
      1.404652040144787,
      1.3935735544919272,
      1.382706513864357,
      1.37204325924572,
      1.361576530608517,
      1.3512994389085695,
      1.3412054406319607,
      1.3312883141347602,
      1.3215421385832724,
      1.3119612741575937,
      1.302540344615477,
      1.2932742208141053,
      1.2841580051550983,
      1.2751870565853876,
      1.2663570444684766,
      1.2576638260285617,
      1.2491034117383406,
      1.240671959946436,
      1.2323657713876575,
      1.22418128432711,
      1.216115068746048,
      1.2081638653788223,
      1.2003247433783686,
      1.1925949236350852,
      1.1849716833022295,
      1.1774523604778435,
      1.1700343578448058,
      1.1627151446354176,
      1.1554922582156453,
      1.1483633042446462,
      1.1413259569041272,
      1.1343779583016713,
      1.127517117320202,
      1.1207413087433467,
      1.114048471654848,
      1.1074366082961176,
      1.1009037818691156,
      1.0944481150763001,
      1.0880677883408485,
      1.0817610378197593,
      1.0755261538292233,
      1.0693614788777301,
      1.063265361420957,
      1.0572360114529196,
      1.0512716652123553,
      1.0453706512577494,
      1.0395313769584256,
      1.0337523016653845,
      1.0280319455650095,
      1.022368896899537,
      1.0167618051164733,
      1.0112093754596492,
      1.0057103647456176,
      1.0002635767480237,
      0.9948678587143037,
      0.9895220980480949,
      0.9842252199709367,
      0.9789761847399264,
      0.9737739856931241,
      0.96861764725902,
      0.9635062233885987,
      0.9584387957498042,
      0.9534144724483488,
      0.9484323868181245,
      0.943491663521606,
      0.9385914214738471,
      0.9337308111180785,
      0.9289090133795728,
      0.9241252371388894,
      0.9193787171026818,
      0.9146687122743831,
      0.9099945041086825,
      0.9053553950099834,
      0.9007507069194081,
      0.8961797806513722,
      0.8916419903235928,
      0.8871368632331476,
      0.8826640038292587,
      0.8782229924969924,
      0.8738133918465388,
      0.8694347516418462,
      0.8650866126390071,
      0.8607685104630062,
      0.8564799782101954,
      0.8522205482924031,
      0.8479897546981748,
      0.8437871342528396,
      0.839612227543303,
      0.8354645801716669,
      0.8313437434775689,
      0.8272494358323241,
      0.82318168457643,
      0.819140490674483,
      0.8151257778621948,
      0.8111374099240752,
      0.8071752034176444,
      0.8032391642897073,
      0.7993295089295669,
      0.7954463582686795,
      0.7915897341821394,
      0.7877595803155211,
      0.7839557786141482,
      0.7801781628182753,
      0.7764265292123408,
      0.772700645317918,
      0.7690002568582492,
      0.7653250932670934,
      0.7616748720621275,
      0.7580493023490992,
      0.7544480879753254,
      0.7508709294253426,
      0.7473175258896424,
      0.7437875762906101,
      0.7402807807450719,
      0.7367968411446606,
      0.7333354619761697,
      0.7298963511296522,
      0.7264791051254504,
      0.723083061515014,
      0.7197075812239846,
      0.7163521009921597,
      0.7130161197678574,
      0.7096991878301724,
      0.7064008978710012,
      0.7031208779633671,
      0.6998587852257822,
      0.6966143012604061,
      0.6933873404237921,
      0.6901780697951944,
      0.6869868399860225,
      0.6838140155813994,
      0.6806598364606665,
      0.6775244446329278,
      0.6744079055280395,
      0.6713102247017856,
      0.6682313613259606,
      0.6651712383505564,
      0.6621297509444334,
      0.659106772858171,
      0.6561021617706276,
      0.6531157632536215,
      0.6501474140024059,
      0.6471969443931138,
      0.6442641802980966,
      0.6413489449540385,
      0.638451059895845,
      0.635570346079112,
      0.6327066244316994,
      0.6298597165226522,
      0.6270294450460936,
      0.6242157172623852,
      0.6214186631315151,
      0.61863839472667,
      0.6158749599717471,
      0.6131283574536512,
      0.6103985477912558,
      0.6076854626650758,
      0.6049890116881848,
      0.6023090879280313,
      0.5996455720202657,
      0.5969983354980019,
      0.5943672433215139,
      0.5917521557950295,
      0.5891529300536651,
      0.5865694215083539,
      0.5840014845146314,
      0.5814489729803197,
      0.5789117411175823,
      0.5763897693892805,
      0.573883166073916,
      0.5713919926187362,
      0.5689162619931689,
      0.5664559500935362,
      0.5640110048595286,
      0.561581353182964,
      0.5591669061397848,
      0.5567675630706975,
      0.5543832146511015,
      0.5520137453420396,
      0.5496590353574203,
      0.5473189618991204,
      0.5449934003260248,
      0.5426822249556135,
      0.5403853097297836,
      0.5381025285430362,
      0.5358337558966674,
      0.5335789714887352,
      0.5313385763992582,
      0.5291132202525095,
      0.52690343228875,
      0.5247095584280554,
      0.5225318102586612,
      0.5203703010525691,
      0.5182250722381184,
      0.5160961131148252,
      0.5139833765203407,
      0.511886794931676,
      0.5098062816080885,
      0.5077417332943208,
      0.5056930350757344,
      0.5036600640951215,
      0.5016426919400172,
      0.49964078665046374,
      0.49765421409896643,
      0.4956828389261657,
      0.4937265731823467,
      0.49178543391683716,
      0.4898594180822725,
      0.48794848570888916,
      0.4860525701020201,
      0.4841715853495633,
      0.4823054318005277,
      0.4804540002202158,
      0.47861717476390875,
      0.4767948352369663,
      0.4749868584964144,
      0.47319311976239864,
      0.471413493462194,
      0.4696478537878383,
      0.4678960752242515,
      0.4661580327694356,
      0.4644336022546419,
      0.4627226604349995,
      0.46102508513142504,
      0.4593407553470634,
      0.45766955135940307,
      0.4560113546104369,
      0.4543660478010303,
      0.4527335149105857,
      0.4511136411929769,
      0.4495063131484919,
      0.44791141862466927,
      0.4463288466900373,
      0.4447584875351653,
      0.4432002327057512,
      0.44165397490523295,
      0.4401196079773796,
      0.4385970269667275,
      0.4370861280534178,
      0.43558680866814303,
      0.4340989672784063,
      0.4326225035068945,
      0.4311573887604188,
      0.4297037012813534,
      0.42826148743475173,
      0.4268307518315331,
      0.42541146911325944,
      0.4240035924993972,
      0.42260705996707487,
      0.4212217990013203,
      0.41984772960138966,
      0.41848476674996304,
      0.4171328219976261,
      0.4157918047024389,
      0.41446162305644213,
      0.41314218459761914,
      0.4118333966155475,
      0.4105351665803987,
      0.4092474023414681,
      0.4079700121222291,
      0.4067029048457602,
      0.40544599023191896,
      0.4041991788196765,
      0.4029623818128503,
      0.40173551128277724,
      0.400518480245457,
      0.39931120251175317,
      0.39811359281880737,
      0.3969255666581992,
      0.39574704038530417,
      0.39457793130529945,
      0.39341815743001596,
      0.3922676376434674,
      0.3911262916150095,
      0.38999403991741427,
      0.3888708038673495,
      0.3877565055198835,
      0.3866510677409946,
      0.385554414205595,
      0.3844665629324335,
      0.38338760290892554,
      0.38231757886906337,
      0.38125649980710835,
      0.38020434923233404,
      0.3791610924304613,
      0.3781267267490536,
      0.377101279174829,
      0.3760847489455689,
      0.3750771120739088,
      0.3740783280949463,
      0.37308834494685117,
      0.3721071023837534,
      0.37113453462034174,
      0.3701705718609575,
      0.36921514196629845,
      0.36826817116914323,
      0.3673295847070077,
      0.36639930734864773,
      0.36547726389237517,
      0.3645633791295162,
      0.36365757826488415,
      0.36275978690533206,
      0.36186993125295,
      0.36098793796833945,
      0.36011373441687056,
      0.3592472486112796,
      0.3583884092578355,
      0.3575371457276968,
      0.35669338805570355,
      0.35585706699194547,
      0.35502811397847667,
      0.35420646112834503,
      0.3533920411809116,
      0.3525847875859688,
      0.35178463438626495,
      0.3509915163561709,
      0.35020536893893667,
      0.3494261282365174,
      0.34865373092512325,
      0.34788811432492794,
      0.3471292163443444,
      0.3463769755023975,
      0.3456313310289998,
      0.3448922226874969,
      0.34415959092978554,
      0.3434333766457804,
      0.3427135213469741,
      0.34199996719913783,
      0.34129265695521993,
      0.3405915337879772,
      0.33989654145473613,
      0.33920762438739116,
      0.33852472740304895,
      0.3378477959496445,
      0.337176775997625,
      0.33651161400932855,
      0.3358522570879835,
      0.3351986528233184,
      0.3345507492658568,
      0.33390849487711993,
      0.33327183857001685,
      0.3326407299414583,
      0.3320151190108921,
      0.33139495627831167,
      0.33078019274538367,
      0.3301707798874215,
      0.3295666696391948,
      0.3289678143316159,
      0.3283741667565938,
      0.32778568014443976,
      0.3272023083078087,
      0.32662400544397646,
      0.32605072615488706,
      0.3254824254045973,
      0.324919058617601,
      0.32436058170263643,
      0.3238069510013935,
      0.3232581232641887,
      0.32271405558871935,
      0.32217470544886745,
      0.32164003078842995,
      0.32110998997622214,
      0.3205845417245986,
      0.32006364519966296,
      0.31954725984045756,
      0.3190353455224724,
      0.31852786250623033,
      0.31802477138707785,
      0.31752603317350325,
      0.31703160916282086,
      0.31654146116153964,
      0.3160555512875555,
      0.3155738419006297,
      0.31509629582593246,
      0.3146228762741147,
      0.31415354659711436,
      0.3136882705659482,
      0.3132270122808766,
      0.3127697363245024,
      0.31231640749662287,
      0.31186699093152487,
      0.3114214520379299,
      0.3109797566182352,
      0.31054187076009837,
      0.31010776085579317,
      0.3096773936866958,
      0.3092507362414892,
      0.3088277558405163,
      0.3084084201087325,
      0.30799269702581483
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183112723642063,
      10.994292538441202,
      10.795695079539176,
      10.589034276209853,
      10.37602512286836,
      10.158430671950848,
      9.937835572555061,
      9.715690900254474,
      9.49337164352866,
      9.272177445401319,
      9.05330319477069,
      8.837791899955722,
      8.626504987914542,
      8.420110339381074,
      8.219077833230754,
      8.023683783887352,
      7.83402440167065,
      7.6500358011690235,
      7.471517968184483,
      7.298164321030924,
      7.129586638058652,
      6.965337686790662,
      6.804933904918151,
      6.6478754535696805,
      6.493663539475842,
      6.341812813590134,
      6.191862881237792,
      6.043392683934817,
      5.896030519508715,
      5.749449650260406,
      5.603377578237355,
      5.457606122560732,
      5.3119998531851325,
      5.166492065942732,
      5.021061854218954,
      4.875744126170794,
      4.730645235021002,
      4.5859417564122555,
      4.4418755953729026,
      4.2987451947876965,
      4.156888949601527,
      4.01668315867496,
      3.878535943039812,
      3.7428749545075854,
      3.610133048976597,
      3.480738597150184,
      3.3551048010232893,
      3.23362149868575,
      3.116644434184324,
      3.0044857623872,
      2.8974104168656156,
      2.7956295564804674,
      2.6993007063245362,
      2.608526645187734,
      2.523359666362969,
      2.443805641779338,
      2.3698281800260195,
      2.3013398883810328,
      2.2382041746868357,
      2.1802641611353706,
      2.1273441118857446,
      2.0792146965543123,
      2.035565562004728,
      1.9959845255636133,
      1.960005714783471,
      1.9271559987302163,
      1.8969487104219769,
      1.8689181289315961,
      1.8426820004506512,
      1.8179492006795175,
      1.7944957106102368,
      1.7721528152865123,
      1.7507790318582173,
      1.7302622631685134,
      1.7105160370156678,
      1.6914694235200458,
      1.6730620113600998,
      1.6552439690892644,
      1.6379737072428544,
      1.6212162969414738,
      1.6049404484372718,
      1.589117757324506,
      1.5737223721794924,
      1.5587307042618013,
      1.5441211735586504,
      1.5298739870159588,
      1.5159709445569265,
      1.5023952688790927,
      1.4891314562943263,
      1.4761651460969736,
      1.4634830056708317,
      1.4510726288409932,
      1.4389224471632462,
      1.427021650392132,
      1.4153603123814944,
      1.4039293234495773,
      1.3927200838544953,
      1.3817244513948432,
      1.37093470893722,
      1.3603435350276705,
      1.349943977309911,
      1.339729427494969,
      1.329693599260911,
      1.3198305072985388,
      1.3101344482026265,
      1.3005999830866906,
      1.2912219213854834,
      1.2819953058120863,
      1.2729154362729682,
      1.2639779270077924,
      1.2551785829121378,
      1.2465133633310086,
      1.2379783770083346,
      1.22956987690492,
      1.2212842545677103,
      1.2131180354099038,
      1.2050680388823831,
      1.1971313526754597,
      1.1893051296792947,
      1.1815865851548624,
      1.1739730010651181,
      1.1664617285462662,
      1.159050189359313,
      1.1517358767527426,
      1.1445163556581535,
      1.1373892623407553,
      1.1303523034229692,
      1.123403254756842,
      1.116539960161418,
      1.10976032953247,
      1.1030623373554374,
      1.096444020516043,
      1.0899034771500227,
      1.0834388642041264,
      1.077048395396891,
      1.070730339690892,
      1.0644828901122512,
      1.0583041475438209,
      1.0521922982672414,
      1.0461456208392172,
      1.040162476502595,
      1.0342413002650581,
      1.0283805740705254,
      1.0225788302494627,
      1.016834664865042,
      1.0111467323492813,
      1.0055137400481045,
      0.9999344444542745,
      0.9944076472453082,
      0.9889321921441181,
      0.9835069621951216,
      0.9781308771010737,
      0.9728028909260867,
      0.9675219901656563,
      0.9622871921340712,
      0.9570975176255013,
      0.9519519800077905,
      0.9468496247777641,
      0.9417895322528501,
      0.9367708150626503,
      0.9317926155751944,
      0.9268541037652406,
      0.9219544756759481,
      0.9170929513042122,
      0.9122687733834173,
      0.9074812063014112,
      0.902729534797213,
      0.8980130627931355,
      0.8933311327581349,
      0.8886832482395375,
      0.8840689838115473,
      0.8794878897133256,
      0.8749394982869902,
      0.8704233293059292,
      0.8659388938021648,
      0.8614856980308814,
      0.8570632459032926,
      0.85267104142106,
      0.8483085907117349,
      0.8439754030614417,
      0.8396712537511469,
      0.8353961663182154,
      0.8311500868640319,
      0.8269328855261856,
      0.8227443738408735,
      0.8185844293530663,
      0.8144532322919918,
      0.8103509218631372,
      0.8062775247057429,
      0.8022329785994743,
      0.7982171513878733,
      0.7942298564376182,
      0.7902708647739247,
      0.7863399149911373,
      0.7824367211166832,
      0.7785609788558987,
      0.7747123705392311,
      0.7708905693451972,
      0.7670952423013525,
      0.763326053089734,
      0.7595826639016706,
      0.7558647370594074,
      0.752171936206399,
      0.7485039272734423,
      0.744860379325899,
      0.7412409649890505,
      0.7376453610650828,
      0.7340732486814567,
      0.7305242885075867,
      0.7269978856021792,
      0.7234933264726229,
      0.7200099843474874,
      0.7165473034402877,
      0.7131047864048716,
      0.709681984277106,
      0.7062785110773778,
      0.7028942799055748,
      0.6995294062222501,
      0.6961841931536851,
      0.6928589560764881,
      0.6895538909388261,
      0.6862691000182118,
      0.6830046128611058,
      0.6797604018587706,
      0.6765363952776587,
      0.6733324872470215,
      0.670148545776246,
      0.6669844191555394,
      0.6638399406825954,
      0.6607149326962808,
      0.6576092095473541,
      0.6545225801004975,
      0.651454849546539,
      0.6484058210134782,
      0.6453752965492322,
      0.642363078140484,
      0.6393689683896341,
      0.6363927948082405,
      0.6334346040515508,
      0.6304945323497867,
      0.6275726415178787,
      0.6246689363500599,
      0.6217833778012205,
      0.61891589327596,
      0.6160663847442331,
      0.6132347349369143,
      0.6104208122259859,
      0.6076244745346833,
      0.6048455722393276,
      0.6020839503775531,
      0.5993394504998919,
      0.5966119118149739,
      0.5939011723193413,
      0.5912070696603079,
      0.5885294418117412,
      0.5858681462061487,
      0.5832232131285068,
      0.5805947417049065,
      0.5779827701126858,
      0.5753872903236121,
      0.5728082590723953,
      0.5702456065936908,
      0.5676992430022748,
      0.5651690636861237,
      0.5626549530168155,
      0.5601567872794261,
      0.5576744374176259,
      0.5552077703295213,
      0.5527566503990355,
      0.5503209405032966,
      0.5479005029841393,
      0.5454951999753667,
      0.5431049171713889,
      0.5407298659362294,
      0.5383706670051444,
      0.5360279655645983,
      0.5337021877107572,
      0.5313935995243954,
      0.5291023501716929,
      0.5268285035197359,
      0.5245720611685277,
      0.5223329796729441,
      0.5201111828509324,
      0.5179065710503551,
      0.5157190283218446,
      0.5135484267828228,
      0.5113946306055542,
      0.5092574984965306,
      0.5071368857957512,
      0.5050326458467641,
      0.5029446310745588,
      0.5008727219276984,
      0.49881692241769465,
      0.4967772453922276,
      0.4947536600441704,
      0.492746102960369,
      0.4907544873729049,
      0.48877870993478706,
      0.4868186554495797,
      0.48487420064032344,
      0.48294521676683905,
      0.4810315715324614,
      0.4791331304404927,
      0.47724975783300005,
      0.47538131779429815,
      0.4735276744387682,
      0.4716886924490328,
      0.46986423743399824,
      0.46805417593001963,
      0.4662583756051068,
      0.4644767054629423,
      0.46270903576846495,
      0.4609552381519611,
      0.45921518576539566,
      0.45748875305897785,
      0.4557758158897982,
      0.45407625150463854,
      0.45238993849913034,
      0.450716756931095,
      0.44905658823245725,
      0.44740931512289367,
      0.4457748216523257,
      0.4441529932197926,
      0.4425437164924482,
      0.4409468793771908,
      0.43936237117204857,
      0.4377901108467629,
      0.43623015391660924,
      0.43468256733201543,
      0.4331473675333636,
      0.43162453479054164,
      0.4301140235931181,
      0.428615770174185,
      0.42712969783032967,
      0.42565572107431776,
      0.4241937482533104,
      0.4227436833287054,
      0.4213054277913094,
      0.4198788816239576,
      0.4184639438239648,
      0.41706051304768005,
      0.4156684880986579,
      0.4142877681856674,
      0.4129182531036029,
      0.4115598433385571,
      0.4102124400713877,
      0.4088759453091621,
      0.40755026206886014,
      0.40623529430830374,
      0.4049309468841789,
      0.4036371255878927,
      0.402353737106693,
      0.4010806891393962,
      0.39981789033567666,
      0.3985652502882364,
      0.3973226795777717,
      0.39609008964188386,
      0.3948673928235789,
      0.39365450244715333,
      0.3924513326674225,
      0.39125779842192404,
      0.3900739054332516,
      0.38889974710533265,
      0.3877353742608228,
      0.3865807976090678,
      0.3854359993398583,
      0.3843009415347415,
      0.3831755719350496,
      0.38205982815585177,
      0.38095364097173323,
      0.3798569364316141,
      0.37876963826057447,
      0.3776917235715269,
      0.3766231997131167,
      0.375564046919353,
      0.3745142263800367,
      0.3734736857169558,
      0.37244236301119615,
      0.3714201898276029,
      0.37040709327335014,
      0.3694029974031849,
      0.36840782443461634,
      0.36742149544644603,
      0.36644393094498934,
      0.36547505124922464,
      0.3645147767216094,
      0.3635630280999719,
      0.3626197265753855,
      0.36168479387094765,
      0.3607581522450404,
      0.35983972469943154,
      0.3589294349856012,
      0.3580272075115898,
      0.35713296735169325,
      0.3562466402581439,
      0.35536815300508606,
      0.35449743292151836,
      0.3536344080363811,
      0.35277900712320137,
      0.35193115954364146,
      0.35109079552492317,
      0.3502578459053234,
      0.3494322422886055,
      0.3486139170478649,
      0.34780280310250844,
      0.3469988340528629,
      0.3462019442150111,
      0.34541206845402217,
      0.344629142349478,
      0.3438531021340238,
      0.34308388473551654,
      0.3423214276941669,
      0.3415656691320015,
      0.34081654785133175,
      0.34007400310464553,
      0.33933797484875877,
      0.33860840361959993,
      0.337885230510472,
      0.33716839727911435,
      0.3364578462275644,
      0.3357535202366314,
      0.3350553626236487,
      0.33436331735784697,
      0.33367732887033524,
      0.33299734234924344,
      0.3323233034006538,
      0.3316551580547913,
      0.3309928530273414,
      0.3303363354105499,
      0.32968555282350814,
      0.329040453500234,
      0.3284009861127528,
      0.32776709979876784,
      0.32713874421631794,
      0.3265158695109214,
      0.3258984263096613,
      0.3252863657422692,
      0.3246796393617213,
      0.32407819913009606,
      0.3234819976089044,
      0.3228909877444403,
      0.3223051228703806,
      0.32172435692810614,
      0.3211486441924099,
      0.32057793930390166,
      0.3200121973786398,
      0.31945137406857493,
      0.31889542538177296,
      0.31834430773288347,
      0.3177979779566315,
      0.3172563932336836,
      0.3167195112209223,
      0.31618728995453704,
      0.31565968783049786,
      0.315136663675209,
      0.3146181767030901,
      0.3141041865133879,
      0.31359465312675294,
      0.313089536933716,
      0.31258879860656086,
      0.31209239921535614,
      0.3116003002308304,
      0.31111246336315956,
      0.3106288508469702,
      0.3101494251551871,
      0.30967414921024833,
      0.3092029863038494,
      0.30873589992897094,
      0.3082728540069526,
      0.307813812721573,
      0.3073587405574276,
      0.306907602504743,
      0.30646036384616393,
      0.3060169900715791,
      0.3055774475312281,
      0.30514171017242087,
      0.304709755569028,
      0.3042815582285015,
      0.30385709050784454,
      0.30343632344475,
      0.3030192271381019,
      0.302605771163383,
      0.30219592460416966,
      0.301789656412565,
      0.30138693556516016
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183088970423324,
      10.994216141952988,
      10.795545517848515,
      10.588798710827687,
      10.37569924155046,
      10.15801588727961,
      9.937336072540203,
      9.715113844998491,
      9.492726331200135,
      9.271474508482584,
      9.05255380013631,
      8.837007202394059,
      8.625695731464813,
      8.419286198971735,
      8.218247143251007,
      8.022853393185972,
      7.833199649511218,
      7.649220320408571,
      7.470713638362173,
      7.297372065774227,
      7.128806603269177,
      6.964569476018727,
      6.804176815420297,
      6.647128705046714,
      6.492926485698139,
      6.341085421766644,
      6.191145719601995,
      6.042686898666187,
      5.8953381951873824,
      5.748774100298561,
      5.6027229297869505,
      5.45697736361131,
      5.311403030330874,
      5.165934884097566,
      5.020553614843193,
      4.8752949291086045,
      4.730265605109581,
      4.58564249451625,
      4.441667595454395,
      4.2986395105067645,
      4.1568968305374305,
      4.016815263732795,
      3.8788021164855864,
      3.7432843739308894,
      3.610694880338415,
      3.4814607303630316,
      3.355995115758477,
      3.2346865334577077,
      3.117888725829133,
      3.005912269282709,
      2.8990189309196124,
      2.797417150932699,
      2.701261636730644,
      2.6106533370432925,
      2.525643626508551,
      2.4462375893517523,
      2.372397834267493,
      2.30403431606293,
      2.241009515007222,
      2.183166797450607,
      2.130329591727397,
      2.0822648308216642,
      2.0386577454758075,
      1.9990932096289296,
      1.9631056364888957,
      1.9302230967302405,
      1.899961500088414,
      1.871858478744104,
      1.8455357246665203,
      1.8207052679482154,
      1.797144207632837,
      1.7746855257842709,
      1.753189304313074,
      1.7325442246733336,
      1.7126644394355486,
      1.693480439028098,
      1.6749326784481133,
      1.6569715678704207,
      1.6395556889052132,
      1.622650317779078,
      1.60622515446014,
      1.5902525992838061,
      1.5747074509375654,
      1.5595666415779672,
      1.5448090046778689,
      1.5304150709490916,
      1.5163668895383098,
      1.502647871176274,
      1.4892426497142557,
      1.4761369602838057,
      1.4633175320449987,
      1.4507719929218124,
      1.43848878611565,
      1.4264570956025477,
      1.4146670076416126,
      1.4031093944409798,
      1.3917756129578402,
      1.3806574712016224,
      1.3697471979452454,
      1.359037414415289,
      1.3485211089573936,
      1.3381916130675438,
      1.3280425796104798,
      1.3180679627146252,
      1.3082619990278652,
      1.298619190467866,
      1.28913428864567,
      1.2798022800658302,
      1.2706184088910057,
      1.2615782373886752,
      1.2526775207640743,
      1.2439121699074054,
      1.2352782467564682,
      1.2267719590048831,
      1.2183896547557926,
      1.210127875446972,
      1.201983515372494,
      1.1939536029687958,
      1.1860352294707508,
      1.1782255546832354,
      1.1705218092812486,
      1.1629212971261838,
      1.1554213964549593,
      1.1480195602211787,
      1.1407133159166456,
      1.1335002646908652,
      1.1263780806529307,
      1.1193445090007823,
      1.112397364266099,
      1.1055345293510777,
      1.098753952880418,
      1.0920536476275593,
      1.0854316883493673,
      1.078886209854734,
      1.0724153823781626,
      1.066017252599619,
      1.0596898467349658,
      1.0534312948500826,
      1.0472398198527684,
      1.0411137285199719,
      1.035051403334186,
      1.0290512963472822,
      1.023111903757715,
      1.0172317640935926,
      1.011409476197786,
      1.0056436946779588,
      0.9999331255657511,
      0.9942765223360993,
      0.9886726825412606,
      0.9831204447548529,
      0.9776186858773951,
      0.9721663113780148,
      0.9667622186612781,
      0.9614053254208417,
      0.9560945907464081,
      0.9508290116907874,
      0.94560762063108,
      0.9404294825071092,
      0.9352936925457735,
      0.930199374318896,
      0.9251456778283735,
      0.9201317783820725,
      0.9151568749892639,
      0.9102201890898924,
      0.9053209634140379,
      0.9004584611759865,
      0.8956319765899007,
      0.8908409639358404,
      0.8860849708366664,
      0.881363519659107,
      0.8766761142699269,
      0.8720222453189299,
      0.8674013947277085,
      0.8628130395992423,
      0.8582566548458748,
      0.8537318971631769,
      0.8492387391857172,
      0.8447771168859284,
      0.8403468815250199,
      0.8359478192026978,
      0.8315798521191228,
      0.8272431575707575,
      0.8229378316043433,
      0.8186638565039944,
      0.8144211251697961,
      0.8102094601506447,
      0.806028629616262,
      0.8018783594932946,
      0.7977583438826461,
      0.7936682527149478,
      0.7896077385472817,
      0.7855764411444495,
      0.7815739919437018,
      0.777600017295637,
      0.7736541408971633,
      0.7697359859835075,
      0.7658451766244222,
      0.7619813390956339,
      0.7581441029222398,
      0.7543331015476429,
      0.7505479729862137,
      0.7467883601571976,
      0.7430539111049391,
      0.7393442793103528,
      0.7356591239425034,
      0.7319980373182905,
      0.7283603186286627,
      0.7247452472550706,
      0.7211521877700057,
      0.7175805747487901,
      0.7140300903835719,
      0.710500702092253,
      0.7069925212524403,
      0.7035058315990768,
      0.7000408302384405,
      0.696597614993888,
      0.6931762061020785,
      0.6897765634736299,
      0.6863986001770712,
      0.6830421932275762,
      0.6797071923478839,
      0.6763934264461717,
      0.6731007087715718,
      0.6698288412712234,
      0.6665776176777061,
      0.6633468261511812,
      0.6601362512041485,
      0.6569456753974972,
      0.6537748803816054,
      0.650623647946872,
      0.6474917658426915,
      0.6443792379453999,
      0.64128620466196,
      0.6382127262171683,
      0.6351588012072322,
      0.6321243813034615,
      0.6291093821383177,
      0.6261136920093879,
      0.6231371787330735,
      0.6201796949489518,
      0.6172410821706802,
      0.6143211737996547,
      0.6114197978233108,
      0.6085367783415357,
      0.605671937401575,
      0.6028250960025042,
      0.5999960748834305,
      0.5971846953013791,
      0.5943907793434796,
      0.5916142690706507,
      0.5888552596998208,
      0.5861138049459429,
      0.5833899050839887,
      0.5806835197702825,
      0.5779945778771997,
      0.5753229852370443,
      0.5726686304726893,
      0.5700313895693704,
      0.5674111294056408,
      0.564807710382811,
      0.5622209881604116,
      0.5596508155985622,
      0.5570970438438186,
      0.5545595231738881,
      0.552038103704927,
      0.5495328993124033,
      0.5470444591032211,
      0.544573468154338,
      0.5421204210777113,
      0.5396856300343519,
      0.5372692736718545,
      0.5348714331749453,
      0.5324921188286545,
      0.5301312895467022,
      0.5277888671348484,
      0.5254647467601671,
      0.5231588046535416,
      0.5208709038593462,
      0.5186008981535635,
      0.5163486351862402,
      0.5141139586554013,
      0.5118967100037435,
      0.5096967296426583,
      0.507513875790686,
      0.5053481269292449,
      0.5031994902330844,
      0.5010679264146549,
      0.49895336270829077,
      0.49685570237333515,
      0.49477483161644104,
      0.4927106247465496,
      0.4906629476809197,
      0.48863166103595473,
      0.48661662405852757,
      0.4846177012725781,
      0.482634755422884,
      0.4806676464917031,
      0.4787162329632981,
      0.4767803725961314,
      0.4748599231108688,
      0.47295474267092996,
      0.47106469025793934,
      0.4691896259188001,
      0.4673294108083124,
      0.4654839073844477,
      0.46365297950251316,
      0.46183649245884717,
      0.4600343129598427,
      0.45824630914266395,
      0.4564723508011071,
      0.4547123092062213,
      0.45296605697972203,
      0.45123346819760946,
      0.4495144183938695,
      0.44780878456575546,
      0.4461164451810468,
      0.4444372800857925,
      0.44277127320526455,
      0.4411185100471108,
      0.4394790287728747,
      0.4378528223567592,
      0.4362398515830023,
      0.43464005436553016,
      0.43305335236389514,
      0.4314796560893969,
      0.4299188681880261,
      0.428370886133613,
      0.42683560385660413,
      0.42531291315436515,
      0.4238027046592456,
      0.42230486851959487,
      0.4208192947970975,
      0.4193458739633207,
      0.4178844970388099,
      0.41643505568128125,
      0.4149974424008067,
      0.41357155067439516,
      0.41215727490889664,
      0.4107545106343539,
      0.4093631543428778,
      0.4079831036344986,
      0.40661425716138266,
      0.4052565145229155,
      0.4039097764932078,
      0.4025739448183077,
      0.4012489222696958,
      0.39993461269954844,
      0.3986309208691676,
      0.39733775266082244,
      0.3960550340091282,
      0.39478282229643574,
      0.3935212057740653,
      0.3922702190830327,
      0.39102985889479663,
      0.3898000948285028,
      0.3885808774964642,
      0.3873721441389395,
      0.38617382250481214,
      0.38498583403517006,
      0.3838080958014597,
      0.38264052212123967,
      0.38148302555183294,
      0.3803355175200871,
      0.3791979091505533,
      0.3780701242976784,
      0.3769521506460981,
      0.3758439821881878,
      0.37474558845068656,
      0.3736569217127208,
      0.37257792207226303,
      0.37150852111864524,
      0.37044864463168203,
      0.36939821434275383,
      0.3683571496291527,
      0.36732536823193646,
      0.3663027869159764,
      0.3652893220490385,
      0.3642848900000505,
      0.3632894074349854,
      0.3623027913326074,
      0.36132495922963825,
      0.3603558292121755,
      0.35939532008680447,
      0.3584433514004031,
      0.3574998434617581,
      0.3565647172889539,
      0.3556378946092071,
      0.35471929811495895,
      0.35380885113742483,
      0.35290647777985096,
      0.3520121029762059,
      0.3511256523487193,
      0.3502470523216587,
      0.3493762300591599,
      0.3485131134051761,
      0.3476576309522481,
      0.3468097120360558,
      0.345969286757574,
      0.3451362858037515,
      0.3443106407276959,
      0.3434922837478834,
      0.34268114765119845,
      0.3418771659261774,
      0.3410802726441583,
      0.34029040262158605,
      0.3395074914064392,
      0.33873147516506796,
      0.3379622906217663,
      0.3371998750760159,
      0.33644416657417203,
      0.33569510380322365,
      0.3349526260377016,
      0.3342166730626118,
      0.33348718527581256,
      0.3327641036779586,
      0.33204736983848077,
      0.331336925977801,
      0.33063271484817214,
      0.32993467975572954,
      0.3292427645334303,
      0.3285569135791632,
      0.327877071819079,
      0.3272031847363118,
      0.32653519831212363,
      0.325873059146715,
      0.3252167143402404,
      0.324566111388061,
      0.3239211983696525,
      0.32328192377049514,
      0.322648236750302,
      0.3220200868536483,
      0.3213974240908022,
      0.32078019898158827,
      0.3201683625501645,
      0.31956186629576466,
      0.31896066212665525,
      0.3183647024865457,
      0.31777394018964844,
      0.31718832863874097,
      0.31660782158701,
      0.3160323731302434,
      0.31546193782687026,
      0.3148964707940941,
      0.31433592756441264,
      0.31378026405766474,
      0.3132294365416424,
      0.31268340174637727,
      0.31214211689103905,
      0.3116055394959131,
      0.311073627551604,
      0.3105463393590942,
      0.3100236335868999,
      0.3095054694311813,
      0.3089918063958829,
      0.3084826043921761,
      0.307977823711621,
      0.30747742496265074,
      0.3069813692624382,
      0.30648961799770275,
      0.3060021327648886,
      0.30551887565410046,
      0.30503981052637313,
      0.3045649098705023,
      0.3040941482957727,
      0.30362749726707455,
      0.3031649260870219,
      0.3027064026147766,
      0.3022518938139797,
      0.30180136589033935,
      0.30135478483310163,
      0.3009121164468154,
      0.3004733266749281,
      0.3000383813891861,
      0.29960724667523353,
      0.2991798887113707,
      0.2987562739784502,
      0.29833636915271367,
      0.2979201412156318,
      0.29750755739907764,
      0.29709858524624017,
      0.29669319253330656,
      0.29629134738271257,
      0.29589301819979114,
      0.29549817367351205,
      0.29510678282964115
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.18306574024504,
      10.994141278310927,
      10.795398787012624,
      10.58856737291821,
      10.375378830987378,
      10.15760755181243,
      9.93684374832336,
      9.714544426657541,
      9.49208883063836,
      9.270779245295575,
      9.05181162148818,
      8.836228950241505,
      8.624891853078987,
      8.418466097707741,
      8.217418911077436,
      8.022023670957857,
      7.83237360209766,
      7.648401527066527,
      7.469903947831739,
      7.2965722736704315,
      7.128016744881787,
      6.963789055970052,
      6.803405039384931,
      6.646364701249145,
      6.492169512514979,
      6.340335337745547,
      6.1904029709072725,
      6.041952504749185,
      5.8946140960144735,
      5.748063435460704,
      5.602029642227481,
      5.456306320026397,
      5.310760129169937,
      5.165327568466736,
      5.019990887125461,
      4.8747865963648405,
      4.72982191961727,
      4.585274010057064,
      4.441384989324178,
      4.298453649541425,
      4.156818804847221,
      4.016855619166854,
      3.878970632094511,
      3.743589712163735,
      3.6111456850862096,
      3.4820648343937735,
      3.3567592790391854,
      3.2356171563588116,
      3.118990553972533,
      3.007187539799174,
      2.900466829149839,
      2.7990349650971336,
      2.70304399357864,
      2.6125934310863292,
      2.52773371885601,
      2.4484691318771867,
      2.3747612866255032,
      2.306517510089728,
      2.2435994914661355,
      2.1858507705143158,
      2.133093623293898,
      2.085091500747347,
      2.0415248818836687,
      2.0019759094576877,
      1.965979753304877,
      1.9330655499193996,
      1.9027518102149314,
      1.874579396501332,
      1.8481737786833092,
      1.823249997915372,
      1.7995865706211265,
      1.7770176062212428,
      1.7554047429667634,
      1.7346375764457311,
      1.714630801865359,
      1.6953161157683851,
      1.6766352691908735,
      1.6585387781636722,
      1.640985479102223,
      1.6239404489963902,
      1.6073740993699928,
      1.5912596375010397,
      1.5755725148539887,
      1.5602901874698925,
      1.5453919052800857,
      1.530858526409699,
      1.516672353179332,
      1.5028169880887894,
      1.489277206351719,
      1.476038843001094,
      1.4630886931828158,
      1.4504144233352896,
      1.4380044927876865,
      1.4258480978831387,
      1.4139353365706016,
      1.402257051782516,
      1.390804561771121,
      1.3795696295239988,
      1.368544434177917,
      1.3577215441730235,
      1.347093892534992,
      1.336654754152577,
      1.3263977248567713,
      1.3163167015381494,
      1.3064058643111056,
      1.2966596596403797,
      1.2870727843551304,
      1.277640171588498,
      1.2683570129905573,
      1.259218821810011,
      1.2502213058206584,
      1.2413603302330904,
      1.232631912698916,
      1.2240322175449563,
      1.2155575514150363,
      1.2072045345800055,
      1.19897006507756,
      1.1908511092775669,
      1.1828447021193422,
      1.1749479513628909,
      1.1671580401937878,
      1.1594722285671764,
      1.1518878538767765,
      1.1444023315338112,
      1.1370131538009336,
      1.1297178893947823,
      1.1225141813340493,
      1.1153997460516292,
      1.1083723712966096,
      1.1014299140113437,
      1.0945702986044863,
      1.0877915146680066,
      1.0810916150146848,
      1.074468660693815,
      1.0679205676787207,
      1.0614452982209823,
      1.0550409194095,
      1.0487055928482383,
      1.0424375656932177,
      1.036235162538808,
      1.0300967788131778,
      1.0240208748692217,
      1.0180059552051315,
      1.012050561471382,
      1.0061532915771085,
      1.0003127974723995,
      0.9945277814055785,
      0.9887969918245619,
      0.9831192055455618,
      0.977493195026691,
      0.9719177704433308,
      0.9663917884309687,
      0.9609141482907329,
      0.9554837885744332,
      0.9500996844550674,
      0.9447608449157755,
      0.9394663108761879,
      0.934215152984614,
      0.9290064698392042,
      0.9238393864854434,
      0.9187130532929848,
      0.9136266444495612,
      0.9085793566318724,
      0.9035704084137972,
      0.8985990391415913,
      0.8936646242798837,
      0.8887666771392592,
      0.8839046953762004,
      0.8790781565383742,
      0.8742865238770579,
      0.8695292619885433,
      0.8648061482884125,
      0.8601171654958213,
      0.8554621910124675,
      0.8508410190713831,
      0.846253473927577,
      0.8416996934061868,
      0.8371797910700024,
      0.832693752375699,
      0.8282414618092713,
      0.8238227250521971,
      0.8194372864346378,
      0.8150848430413794,
      0.810765056013644,
      0.8064775595830078,
      0.8022219682171389,
      0.797997882607648,
      0.79380489405844,
      0.7896425881504766,
      0.7855105476433653,
      0.7814083548248598,
      0.777335593213772,
      0.7732918489781178,
      0.7692767119707429,
      0.7652897766410948,
      0.7613306428263845,
      0.7573989158143749,
      0.7534942068493686,
      0.7496161332187222,
      0.7457643186329649,
      0.7419383934441266,
      0.7381379943468758,
      0.7343626867607553,
      0.7306117337640501,
      0.726884384644029,
      0.7231802243718486,
      0.7194991125625307,
      0.7158410446068956,
      0.712206214596482,
      0.7085947463181694,
      0.7050066740626555,
      0.7014419627709915,
      0.6979005235389599,
      0.6943822260242366,
      0.6908869083758306,
      0.6874143846893058,
      0.6839644512043324,
      0.6805368911103027,
      0.6771314782538085,
      0.673747979835126,
      0.6703861589163019,
      0.6670457762138033,
      0.6637265913598839,
      0.6604283643488397,
      0.6571508901312698,
      0.6538942051705112,
      0.6506584238844119,
      0.6474435816210193,
      0.644249653147277,
      0.6410765668128784,
      0.6379242158384951,
      0.6347924668134365,
      0.6316811664203735,
      0.6285901466873173,
      0.6255192290377274,
      0.6224682273542419,
      0.6194369504985001,
      0.6164252041419893,
      0.6134327921431012,
      0.6104595178309932,
      0.6075051845894665,
      0.6045695967104199,
      0.6016525598322722,
      0.5987539962148855,
      0.5958739936819906,
      0.5930126008063384,
      0.5901698105503411,
      0.5873455733894598,
      0.5845398079004872,
      0.5817524087965378,
      0.578983252867894,
      0.5762322039660293,
      0.5734991165888121,
      0.5707838384606387,
      0.5680862126749907,
      0.5654060795848085,
      0.5627432778869411,
      0.5600976455407929,
      0.5574692831572335,
      0.5548587363570523,
      0.5522667127616634,
      0.5496937288453823,
      0.5471401083674272,
      0.544606034234066,
      0.5420915866881314,
      0.5395967713581249,
      0.5371215398544936,
      0.5346658048368413,
      0.5322294510773451,
      0.5298123435746123,
      0.5274143334823747,
      0.5250352623815595,
      0.5226749654949393,
      0.5203332741864413,
      0.518010017600293,
      0.5157050236241477,
      0.5134181400080429,
      0.5111493413977779,
      0.5088986306587626,
      0.5066659620066972,
      0.5044512545088377,
      0.5022544023262726,
      0.5000752821694563,
      0.49791375814357924,
      0.4957696859862997,
      0.4936429157440231,
      0.49153329393978323,
      0.4894406650363844,
      0.48736487250500526,
      0.485305759758109,
      0.48326317054193246,
      0.48123694950317975,
      0.47922694237191227,
      0.477232996168445,
      0.4752549601219963,
      0.4732926914512708,
      0.4713460512467551,
      0.4694148993691009,
      0.46749909554695956,
      0.46559849968087136,
      0.4637129722958057,
      0.46184237478860735,
      0.45998656959752393,
      0.4581454203971328,
      0.45631879221703286,
      0.4545065514343351,
      0.4527085658433478,
      0.450924704701141,
      0.449154870004206,
      0.447399116368289,
      0.44565751223679473,
      0.4439300692758409,
      0.4422167587680644,
      0.44051752330376553,
      0.43883228511170524,
      0.43716095212773887,
      0.4355034224831605,
      0.4338595875564603,
      0.4322293342349225,
      0.43061254657247006,
      0.429009106976114,
      0.4274188970533553,
      0.4258417983520622,
      0.4242776924611169,
      0.42272646154133203,
      0.4211879886009801,
      0.4196621573901851,
      0.4181488527025212,
      0.4166479604233334,
      0.4151593675794437,
      0.4136829623398843,
      0.41221863389075897,
      0.4107662726935932,
      0.4093257703638284,
      0.40789701950052254,
      0.40647991407745315,
      0.40507434914980167,
      0.40368022086805194,
      0.4022974264683421,
      0.4009258889332421,
      0.39956567406799387,
      0.3982168712069135,
      0.39687951328172466,
      0.39555359315351546,
      0.39423907529078056,
      0.3929359040365506,
      0.39164400963865525,
      0.39036331267599694,
      0.3890937270743998,
      0.38783516228265263,
      0.38658752471832536,
      0.38535071907399904,
      0.3841246491830834,
      0.3829092183717908,
      0.38170432993543735,
      0.3805098874602915,
      0.3793257951447421,
      0.378151957714339,
      0.3769883310856061,
      0.3758349156859995,
      0.3746916883719463,
      0.3735586052823951,
      0.3724356080175327,
      0.3713226279827078,
      0.37021958954918693,
      0.3691264122722889,
      0.368043012556605,
      0.3669693049267581,
      0.36590520260331516,
      0.36485061825072057,
      0.36380546441708866,
      0.3627696538449367,
      0.3617430996035596,
      0.3607257152214166,
      0.35971741502289356,
      0.3587181138559333,
      0.35772772732995944,
      0.35674617185159,
      0.35577336471341797,
      0.3548092238541392,
      0.3538536681039125,
      0.3529066171007956,
      0.3519679913370844,
      0.3510377120037819,
      0.35011570126966957,
      0.3492018819523527,
      0.34829617762358467,
      0.3473985127673692,
      0.3465088125842527,
      0.3456270030522759,
      0.34475301078614073,
      0.3438867633563685,
      0.3430281888983797,
      0.34217721630863207,
      0.34133377528985764,
      0.3404977961952384,
      0.3396692100779849,
      0.3388479486917419,
      0.3380339444675653,
      0.3372271304929735,
      0.3364274405944122,
      0.3356348091419675,
      0.33484917123741137,
      0.3340704627260396,
      0.33329861998174765,
      0.3325335799356133,
      0.33177528024538033,
      0.33102365923843,
      0.3302786557296239,
      0.32954020914570203,
      0.328808259536679,
      0.32808274771684925,
      0.3273636149114084,
      0.32665080292635423,
      0.3259442541797743,
      0.3252439116078239,
      0.32454971873767546,
      0.32386161964757815,
      0.32317955887801825,
      0.322503481610924,
      0.32183333362217587,
      0.32116906112145194,
      0.3205106108221348,
      0.319857929910973,
      0.3192109662484061,
      0.3185696680236689,
      0.3179339840979855,
      0.3173038637519071,
      0.31667925668841135,
      0.31606011312610843,
      0.31544638376714434,
      0.31483801985538895,
      0.3142349729947744,
      0.3136371954010942,
      0.31304463963430573,
      0.3124572587009647,
      0.3118750060557003,
      0.3112978356046788,
      0.31072570176117686,
      0.31015855932458475,
      0.30959636355143966,
      0.3090390700627895,
      0.308486634917686,
      0.30793901456097883,
      0.307396165899836,
      0.3068580462288593,
      0.3063246132580031,
      0.3057958251165504,
      0.3052716403459061,
      0.3047520178936064,
      0.3042369229716037,
      0.3037263282727185,
      0.3032202040931301,
      0.30271851782352216,
      0.302221235082224,
      0.3017283201922108,
      0.30123973678060595,
      0.300755447917515,
      0.30027541634152133,
      0.2997996048236797,
      0.299327976162677,
      0.2988604933325262,
      0.298397119490882,
      0.29793781797498653,
      0.2974825524509969,
      0.2970312868735186,
      0.29658398545875325,
      0.2961406126712072,
      0.2957011333128718,
      0.2952655125247286,
      0.29483371580183304,
      0.29440570889533574,
      0.293981457918639,
      0.2935609292387431,
      0.29314408960993005,
      0.2927309060162399,
      0.29232134574388713,
      0.29191537640350923,
      0.2915129659408043,
      0.2911140826103752,
      0.29071869491227476,
      0.29032676978750366,
      0.28993825115342486,
      0.28955307377835504,
      0.28917118280940474
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183043001829478,
      10.994068370079113,
      10.795256177623221,
      10.588342780443096,
      10.375067947500467,
      10.157211517661503,
      9.936366449473551,
      9.713992656720656,
      9.4914714471047,
      9.27010635663454,
      9.051093829752636,
      8.8354768359321,
      8.624115602113484,
      8.417674865331128,
      8.216620566729821,
      8.021224666036277,
      7.831578947407778,
      7.647614553540687,
      7.469126434684033,
      7.295804968166495,
      7.127259660342289,
      6.963041694217695,
      6.802666614380917,
      6.645634355413591,
      6.491446517153423,
      6.339619553774877,
      6.18969483187438,
      6.041252999954881,
      5.893925106831678,
      5.7473880054340345,
      5.601371587692462,
      5.45567035108861,
      5.3101519388422505,
      5.164754191851346,
      5.019461010379371,
      4.874309679332872,
      4.72940784054569,
      4.584932927051472,
      4.441127169626794,
      4.298289540237951,
      4.156759074862073,
      4.016910399434179,
      3.8791493029364066,
      3.7439006230093304,
      3.6115969620242563,
      3.4826638640647727,
      3.357511842514881,
      3.2365277209846,
      3.1200621787654748,
      3.008421194684393,
      2.9018618707146517,
      2.8005887026903995,
      2.7047512670417255,
      2.6144480361047324,
      2.5297285365015796,
      2.450596247982553,
      2.3770114399556626,
      2.308878858063757,
      2.246059889426047,
      2.188398210374708,
      2.135714571037644,
      2.087769158444954,
      2.0442383405964804,
      2.0047014169757413,
      1.9686945934542128,
      1.935747992550426,
      1.905382674984192,
      1.8771425802051716,
      1.8506567233267819,
      1.8256430651378117,
      1.8018814378277597,
      1.7792068216858163,
      1.7574825302167119,
      1.7365988496390536,
      1.7164709548939139,
      1.6970316278930853,
      1.6782238804572327,
      1.6599986115508398,
      1.6423148635361764,
      1.6251376787818823,
      1.6084375488185898,
      1.5921884807032762,
      1.5763665732458658,
      1.5609498027511928,
      1.545917833072765,
      1.5312518480341921,
      1.5169344028434166,
      1.502949292199947,
      1.4892814334259739,
      1.4759167628315712,
      1.4628421431589589,
      1.4500452814249045,
      1.4375146555707843,
      1.4252394771304124,
      1.4132098570971574,
      1.4014166112246798,
      1.3898510224848906,
      1.3785048123020665,
      1.3673701131396956,
      1.3564394434552278,
      1.3457056841402009,
      1.3351620566202904,
      1.3248021024740972,
      1.3146196647246893,
      1.304608869780174,
      1.2947641109742443,
      1.2850800332268049,
      1.2755515186946491,
      1.2661737086765292,
      1.256942069166738,
      1.2478522634934412,
      1.2389001131994688,
      1.2300815933409999,
      1.2213928277151993,
      1.21283013710874,
      1.2043902063349343,
      1.196069876956665,
      1.187866058808931,
      1.1797757352770761,
      1.1717959664829398,
      1.1639238918868018,
      1.1561567311648941,
      1.1484917845088705,
      1.14092643227072,
      1.133458134230919,
      1.126084428409954,
      1.1188029292400408,
      1.1116113259292468,
      1.1045073805773244,
      1.097488926212499,
      1.0905538642548465,
      1.0837001625391354,
      1.0769257627061193,
      1.070228481618063,
      1.0636062099414687,
      1.057056945818351,
      1.050578784063051,
      1.0441699067057568,
      1.0378285756965904,
      1.0315531261932664,
      1.0253419602306104,
      1.019193541840082,
      1.0131063792769135,
      1.0070790137566545,
      1.0011100396750514,
      0.9951980906781597,
      0.9893418028999595,
      0.983539857470587,
      0.9777909892264292,
      0.972093982011673,
      0.9664476648107158,
      0.9608509082521108,
      0.9553026217890138,
      0.9498017512510006,
      0.9443472763099823,
      0.9389382083178383,
      0.93357358871997,
      0.9282524874352106,
      0.9229740011523874,
      0.917737252357948,
      0.912541387824509,
      0.9073855776804715,
      0.9022690143489567,
      0.8971909609496624,
      0.8921508732977558,
      0.8871482282430798,
      0.8821824834031184,
      0.8772534016861658,
      0.8723609643333906,
      0.8675050366039656,
      0.8626853921025489,
      0.857901952210729,
      0.8531548776830542,
      0.8484442223959637,
      0.8437699134954323,
      0.839131778839146,
      0.834529569064675,
      0.8299629748944145,
      0.825431641092403,
      0.8209351781749885,
      0.8164731711409147,
      0.8120451867696523,
      0.8076507792007225,
      0.8032894945213729,
      0.798960874426215,
      0.7946644590091662,
      0.7903997890022468,
      0.7861664076197296,
      0.7819638616070186,
      0.7777917027190228,
      0.7736494881573931,
      0.7695367813429658,
      0.765453152466503,
      0.7613981784137434,
      0.7573714430316109,
      0.7533725375852148,
      0.7494010607463206,
      0.7454566184196952,
      0.7415388236618216,
      0.7376472576305767,
      0.7337813622377329,
      0.7299407617210728,
      0.7261251924741539,
      0.7223346588319026,
      0.7185692306661631,
      0.7148288938535186,
      0.7111135690390742,
      0.7074231267297711,
      0.7037573991463131,
      0.7001161892491827,
      0.6964992781338767,
      0.6929064310460914,
      0.6893374015501982,
      0.6857919350339581,
      0.6822697715596062,
      0.6787706482481717,
      0.6752943007715662,
      0.6718404645682724,
      0.6684088759134175,
      0.6649994467285847,
      0.661612288589652,
      0.6582474532881738,
      0.6549049229188207,
      0.6515846264844004,
      0.6482864525869341,
      0.6450102592607317,
      0.641755881815909,
      0.6385231387667667,
      0.6353118363720465,
      0.6321217722841006,
      0.6289527383184755,
      0.6258045226067597,
      0.6226769111141851,
      0.6195696889848707,
      0.6164826416680654,
      0.6134155554985746,
      0.6103682181407555,
      0.6073404348172078,
      0.6043322014997131,
      0.6013436030979117,
      0.5983746561790326,
      0.5954253257133588,
      0.592495537515922,
      0.5895851881374897,
      0.5866941524904884,
      0.5838222892334611,
      0.5809694452037466,
      0.5781354590642824,
      0.5753201638720618,
      0.5725233886518197,
      0.5697449602277015,
      0.5669847307745285,
      0.5642429194792445,
      0.561520182869573,
      0.5588172248264385,
      0.5561345116248289,
      0.5534723259869065,
      0.5508308167862644,
      0.548210035357199,
      0.5456099624196951,
      0.5430305276655235,
      0.5404716240541538,
      0.5379331184171914,
      0.5354148591686243,
      0.5329166819103631,
      0.5304384136636587,
      0.5279798757655594,
      0.5255408863060141,
      0.5231212613239993,
      0.5207208164216283,
      0.5183394111697887,
      0.5159770464934469,
      0.5136337059218705,
      0.5113093263751027,
      0.5090038115293166,
      0.5067170412470045,
      0.5044488786812265,
      0.5021991752812719,
      0.4999677747851375,
      0.4977545158053655,
      0.49555923388210993,
      0.49338176275576795,
      0.4912219354751142,
      0.48907958519098166,
      0.4869545458171423,
      0.4848466521536581,
      0.48275574041470576,
      0.48068164827178544,
      0.47862421510020303,
      0.47658328186977633,
      0.47455869141726664,
      0.4725502883639666,
      0.47055791908523853,
      0.4685814318086128,
      0.4666206766621817,
      0.46467550547072933,
      0.46274577564851516,
      0.460831351870049,
      0.4589320989063927,
      0.4570478808705295,
      0.45517856205828533,
      0.4533241357114189,
      0.45148469414187037,
      0.4496602691813386,
      0.44785084374128536,
      0.4460563658547959,
      0.44427675887831947,
      0.4425119287542271,
      0.4407617692498023,
      0.4390261659540186,
      0.4373049989956851,
      0.43559814492478816,
      0.43390547809422825,
      0.43222687185271985,
      0.4305621991455552,
      0.42891133298326495,
      0.42727414690776844,
      0.42565051520277464,
      0.4240403130781447,
      0.42244341680388897,
      0.42085970371779186,
      0.4192890525647504,
      0.4177313431259763,
      0.41618645645991864,
      0.41465427489032586,
      0.4131346820221789,
      0.4116275627590946,
      0.4101328032216263,
      0.4086502908708546,
      0.40717991422732075,
      0.4057215783590531,
      0.4042753349968533,
      0.40284128522307283,
      0.4014194676312885,
      0.40000987670364135,
      0.3986124754480715,
      0.39722720484251,
      0.39585399024656204,
      0.3944927463564253,
      0.39314338049070624,
      0.39180579503412777,
      0.39047988922516114,
      0.38916556026897636,
      0.3878627043396968,
      0.3865712171951609,
      0.38529099450855164,
      0.38402193240171595,
      0.38276392739275156,
      0.38151687680182383,
      0.38028067885266076,
      0.3790552324702028,
      0.3778404376646144,
      0.37663623875300556,
      0.37544263374809256,
      0.37425960056970675,
      0.3730870949725913,
      0.3719250570842282,
      0.3707734160781725,
      0.36963209358499877,
      0.36850100613337305,
      0.36738006678258933,
      0.36626918658825924,
      0.36516827522003886,
      0.3640772417257957,
      0.3629959950121083,
      0.36192444417067215,
      0.36086249852422453,
      0.35981006795200204,
      0.3587670630888709,
      0.357733395271597,
      0.35670897666479784,
      0.3556937202107077,
      0.3546875396063577,
      0.3536903494348473,
      0.35270206512091185,
      0.35172260304136255,
      0.3507518803325347,
      0.34978981495413297,
      0.3488363257297365,
      0.3478913323387344,
      0.34695475525957575,
      0.3460265157913858,
      0.3451065361543016,
      0.3441947391850083,
      0.3432910485428084,
      0.3423953887397773,
      0.34150768514788926,
      0.34062786370307613,
      0.33975585122157154,
      0.3388915752350752,
      0.3380349639552888,
      0.3371859463419082,
      0.33634445207097496,
      0.3355104115816555,
      0.3346837559214195,
      0.33386441694935,
      0.3330523271343407,
      0.3322474196735569,
      0.33144962835805103,
      0.330658887580099,
      0.32987513254597856,
      0.32909829905837906,
      0.32832832359320796,
      0.3275651431748578,
      0.3268086955072586,
      0.3260589189290547,
      0.3253157523197464,
      0.3245791351598623,
      0.323849007580152,
      0.32312531033661607,
      0.3224079847109878,
      0.3216969725398197,
      0.3209922162199224,
      0.3202936587280806,
      0.3196012435916528,
      0.31891491496265395,
      0.31823461750281384,
      0.3175602964865556,
      0.3168918975748933,
      0.3162293670105585,
      0.3155726515855857,
      0.3149216985218113,
      0.3142764556449986,
      0.31363687125567313,
      0.3130028941159055,
      0.3123744735901397,
      0.3117515594316051,
      0.31113410192637836,
      0.3105220518097423,
      0.30991536027336203,
      0.30931397894801926,
      0.3087178600153102,
      0.308126956168194,
      0.3075412204079436,
      0.30696060621081084,
      0.30638506754358596,
      0.3058145587916786,
      0.3052490347139132,
      0.3046884506276112,
      0.3041327621499161,
      0.3035819333987141,
      0.30303593511463905,
      0.30249473449801695,
      0.301958296089222,
      0.3014265824212391,
      0.30089955475363156,
      0.30037717363633254,
      0.29985939916514853,
      0.29934619118461203,
      0.29883750959132344,
      0.298333314255791,
      0.2978335651728704,
      0.2973382226634469,
      0.29684724724626194,
      0.29636059972686757,
      0.29587824126170487,
      0.29540013329633075,
      0.29492623751706704,
      0.2944565161344178,
      0.2939909316209955,
      0.2935294467685671,
      0.29307202465691656,
      0.2926186288908012,
      0.29216920758490617,
      0.2917236850148755,
      0.29128199313446396,
      0.29084407387866434,
      0.29040987662382756,
      0.2899793562605756,
      0.28955247155435004,
      0.2891291844236857,
      0.2887094590264856,
      0.28829326113455195,
      0.28788055783184496,
      0.28747131731970904,
      0.28706550856041496,
      0.2866631012671492,
      0.2862640655659032,
      0.2858683720277171,
      0.28547599172793964,
      0.28508689611640436,
      0.2847010569781783,
      0.28431844638243087,
      0.28393903658156716,
      0.28356280026732533
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183021133152877,
      10.993998506075195,
      10.795119776286842,
      10.588128269293293,
      10.37477139281347,
      10.15683422719962,
      9.935912401887727,
      9.713468660464896,
      9.490886298943357,
      9.269470020693843,
      9.05041670960418,
      8.834769281474658,
      8.623387553854123,
      8.416935241128897,
      8.215877022728257,
      8.02048347438384,
      7.83084498171015,
      7.646891052422393,
      7.468415193354053,
      7.2951067137763195,
      7.126574422256756,
      6.962369021537405,
      6.802005791012166,
      6.644984606047505,
      6.490807198179601,
      6.338990607050036,
      6.189076757412246,
      6.040646821545482,
      5.893332704126376,
      5.746812381356377,
      5.600816469168043,
      5.455140295419099,
      5.30965240675878,
      5.1642917172813325,
      5.019043924396428,
      4.87394702600769,
      4.729109015421811,
      4.584707540698895,
      4.440984883795463,
      4.29824015660567,
      4.156812591441655,
      4.01707624900151,
      3.879436153780228,
      3.744316193101963,
      3.612148191602021,
      3.4833573642258537,
      3.3583526707456546,
      3.2375192258675014,
      3.1212061342112065,
      3.009718072162984,
      2.9033107210501585,
      2.802186187808668,
      2.706492301001883,
      2.6163265579165245,
      2.531737630670714,
      2.452728262063054,
      2.3792572366873235,
      2.311226862346751,
      2.248498477397851,
      2.190915531771687,
      2.138296983640941,
      2.0904003832123865,
      2.046898771207454,
      2.0073687063654595,
      1.9713474198325163,
      1.938366040915717,
      1.9079480722765043,
      1.8796404166669556,
      1.853075397061494,
      1.8279737308568649,
      1.8041167372642517,
      1.7813397674017666,
      1.7595077786460962,
      1.738511891080332,
      1.718267723448148,
      1.6987087220347798,
      1.6797791405362503,
      1.66143057518736,
      1.6436220413424245,
      1.6263189338846493,
      1.609491414082121,
      1.593114024251343,
      1.577163512104988,
      1.5616183756214557,
      1.5464586945987593,
      1.5316659804339205,
      1.517223042907012,
      1.5031138707803136,
      1.4893235259489666,
      1.4758380485259441,
      1.462644371561214,
      1.4497302450632903,
      1.4370841679826665,
      1.424695368080111,
      1.4125539697601548,
      1.4006507644288793,
      1.3889770024622063,
      1.3775243659878762,
      1.3662849433935442,
      1.3552512059154023,
      1.344415984918313,
      1.333772450959324,
      1.3233140938334211,
      1.3130347047239572,
      1.3029283583674578,
      1.2929893969481256,
      1.2832124154475317,
      1.273592247100156,
      1.2641239839149896,
      1.2548030466775082,
      1.2456250554617119,
      1.2365857899487454,
      1.2276811847092177,
      1.2189073240965402,
      1.210260589649981,
      1.2017376752183506,
      1.1933353645916625,
      1.185050514915258,
      1.1768800613134303,
      1.168821019568221,
      1.1608704878010732,
      1.1530256475431295,
      1.1452837634592339,
      1.1376421827176701,
      1.1300983341308224,
      1.1226497265808506,
      1.1152939470554928,
      1.1080286591771396,
      1.1008516009215616,
      1.0937605819991556,
      1.086753482236104,
      1.0798281368234066,
      1.0729822699197271,
      1.0662136934754087,
      1.0595203296577709,
      1.0529002004882306,
      1.0463514181532856,
      1.0398721775671997,
      1.0334607489490262,
      1.0271154722970655,
      1.0208347517797003,
      1.0146170513152417,
      1.008460872931112,
      1.0023647050364084,
      0.9963270716251759,
      0.9903465604582905,
      0.9844218173776536,
      0.9785515414968795,
      0.9727344807068751,
      0.9669694283090863,
      0.9612552195557743,
      0.9555907290130538,
      0.9499748680859709,
      0.944406582757457,
      0.9388848514909817,
      0.933408683297853,
      0.9279771164785497,
      0.9225892170733093,
      0.917244077532411,
      0.9119408155559421,
      0.90667857290097,
      0.9014565151751492,
      0.8962739749081972,
      0.8911305769902029,
      0.8860262812309196,
      0.8809610004891344,
      0.8759345342613507,
      0.8709467931086798,
      0.8659979392048541,
      0.8610880281490605,
      0.8562169771357332,
      0.851384594988907,
      0.8465906060857578,
      0.8418346695983285,
      0.8371163951152903,
      0.8324353548846863,
      0.827791093521065,
      0.8231831360660817,
      0.8186109940666298,
      0.8140741707043133,
      0.8095721645828915,
      0.8051044727436563,
      0.800670593274107,
      0.7962700272633171,
      0.7919022801609008,
      0.7875668627991704,
      0.7832632924381652,
      0.7789910933800117,
      0.7747497973079674,
      0.7705389436067264,
      0.7663580795134338,
      0.7622067605588165,
      0.7580845503341772,
      0.7539910204500352,
      0.7499257507882982,
      0.7458883292367364,
      0.7418785906672177,
      0.7378964179218878,
      0.7339414202830641,
      0.7300134747849848,
      0.7261125095150002,
      0.7222383928643161,
      0.7183909476741556,
      0.7145699621748082,
      0.710775198538929,
      0.7070063997856907,
      0.7032632950550811,
      0.6995456038531112,
      0.6958530391779534,
      0.6921853101730203,
      0.6885421241108453,
      0.6849231878417341,
      0.6813282093221639,
      0.6777568982101025,
      0.6742091634261907,
      0.6706851065037033,
      0.667184758792354,
      0.66370808178605,
      0.6602549835130413,
      0.65682533154504,
      0.6534189630447681,
      0.6500356925436734,
      0.6466753178795298,
      0.6433376250499726,
      0.6400223918692913,
      0.6367293905160163,
      0.6334583897937975,
      0.6302091569085922,
      0.6269814584628668,
      0.6237750617137214,
      0.6205897351568147,
      0.6174252490754638,
      0.6142813760048452,
      0.6111580718714487,
      0.6080554234286256,
      0.6049734468300726,
      0.6019121030540181,
      0.5988713115013035,
      0.5958509604748822,
      0.59285091482774,
      0.5898710224572512,
      0.5869111188518744,
      0.5839710307225546,
      0.5810505786790918,
      0.578149579597026,
      0.5752678479694966,
      0.5724054511702081,
      0.5695629166486065,
      0.5667409930190707,
      0.5639402398151088,
      0.5611610032995193,
      0.5584034744833843,
      0.5556677312145141,
      0.5529537693812553,
      0.5502615256726058,
      0.5475908943341867,
      0.5449417389667397,
      0.542313901873399,
      0.5397072103504379,
      0.5371214816462574,
      0.534556526300396,
      0.5320121507890305,
      0.5294881593337822,
      0.5269843551845993,
      0.5245005514529362,
      0.5220366934756817,
      0.5195927846194192,
      0.5171687725781435,
      0.5147645653609708,
      0.5123800427296222,
      0.5100150644803245,
      0.507669476539089,
      0.5053431152982559,
      0.5030358110230847,
      0.5007473900595706,
      0.4984776765384107,
      0.4962264935558293,
      0.49399366403823497,
      0.4917790115996812,
      0.48958236088636975,
      0.4874035378412442,
      0.4852423700180342,
      0.483098686640131,
      0.48097231886246106,
      0.478863099728893,
      0.4767708641302959,
      0.47469544886514886,
      0.4726366928537851,
      0.4705944368457223,
      0.46856852350987477,
      0.46655879757671126,
      0.4645651056522948,
      0.4625872961099899,
      0.46062521926350586,
      0.4586788189837437,
      0.4567481792051967,
      0.4548333419632101,
      0.45293429609471425,
      0.4510509989791304,
      0.44918338132208596,
      0.4473313517168505,
      0.44549480326051927,
      0.4436736183820513,
      0.441867672356866,
      0.4400768357239439,
      0.43830097599536616,
      0.43653995909716264,
      0.43479365021564753,
      0.43306191448491077,
      0.4313446173395735,
      0.42964162496714214,
      0.4279528045051074,
      0.4262780241108058,
      0.4246171530570237,
      0.42297006200653103,
      0.4213366229067335,
      0.4197167090130183,
      0.4181101950664737,
      0.41651695711772385,
      0.41493687255618794,
      0.41336982006491235,
      0.41181567965363663,
      0.41027433518626116,
      0.4087458189698484,
      0.407230246003734,
      0.4057276622216475,
      0.40423806466723666,
      0.4027614157812862,
      0.40129765372136067,
      0.39984669943744655,
      0.39840846215723436,
      0.3969828430207176,
      0.39556973766592496,
      0.39416903818211463,
      0.3927806345900548,
      0.3914044157019008,
      0.39004026979676115,
      0.38868808526673443,
      0.38734775072688604,
      0.3860191554295436,
      0.3847021893990453,
      0.3833967436436269,
      0.3821027099109655,
      0.38081998108074383,
      0.379548451101535,
      0.3782880149551632,
      0.37703857162428706,
      0.3758000864497032,
      0.37457255734208367,
      0.37335595288685475,
      0.3721502210502593,
      0.3709552953108218,
      0.3697710990574713,
      0.3685975487540823,
      0.3674345563903733,
      0.36628203077012544,
      0.36513987886299315,
      0.36400800646102943,
      0.3628863190079871,
      0.3617747218914835,
      0.36067312078485897,
      0.35958142178472263,
      0.3584995315748748,
      0.35742735756523464,
      0.35636480793069525,
      0.3553117917788567,
      0.35426821898913563,
      0.35323400025711077,
      0.352209047191839,
      0.3511932723898414,
      0.3501865892572627,
      0.34918891213941394,
      0.3482001562744665,
      0.34722023777521904,
      0.3462490735108928,
      0.34528658119484357,
      0.34433267952482965,
      0.3433872881229786,
      0.34245032722341145,
      0.3415217178957722,
      0.3406013821439023,
      0.3396892426762975,
      0.3387852229580646,
      0.3378892473923382,
      0.3370012409700224,
      0.3361211296079321,
      0.3352488399551796,
      0.3343842993799126,
      0.33352743599613893,
      0.3326781785269374,
      0.3318364565131478,
      0.33100220028240457,
      0.33017534072991694,
      0.32935580944388193,
      0.328543538782371,
      0.32773846179937166,
      0.32694051221137166,
      0.3261496243783219,
      0.3253657333628492,
      0.32458877473714387,
      0.3238186846963296,
      0.32305540025019364,
      0.32229885903559413,
      0.3215489991054557,
      0.32080575921475635,
      0.3200690787399041,
      0.3193388976760578,
      0.3186151566238092,
      0.31789779667572354,
      0.3171867595207512,
      0.3164819874865794,
      0.3157834235459268,
      0.3150910111085304,
      0.31440469406861565,
      0.3137244169941338,
      0.313050124974261,
      0.3123817635576523,
      0.3117192789210684,
      0.31106261764557397,
      0.3104117269644575,
      0.30976655445372325,
      0.30912704838503896,
      0.30849315743191313,
      0.3078648307207281,
      0.3072420179338909,
      0.30662466928780036,
      0.30601273538502494,
      0.3054061672966341,
      0.3048049165189406,
      0.3042089350967909,
      0.303618175519604,
      0.3030325980722458,
      0.3024521711068711,
      0.30187685981605583,
      0.3013066263565654,
      0.3007414308122987,
      0.3001812318823943,
      0.2996259872836251,
      0.2990756543149525,
      0.29853018991074,
      0.2979895511761274,
      0.2974536952360013,
      0.29692257932521815,
      0.29639616084119885,
      0.2958743974857355,
      0.29535724740772007,
      0.2948446690422187,
      0.2943366156351686,
      0.2938330093389631,
      0.2933337671486981,
      0.2928388190543686,
      0.2923481045155146,
      0.29186156992628404,
      0.2913791668697426,
      0.29090085070939814,
      0.290426579550754,
      0.28995631386209575,
      0.2894900156963248,
      0.2890276483644285,
      0.2885691761767305,
      0.28811456425153964,
      0.2876637784538054,
      0.28721678523460353,
      0.28677355156198486,
      0.2863340446245256,
      0.2858982320442602,
      0.28546608196413864,
      0.28503756281915127,
      0.2846126433246896,
      0.2841912924407213,
      0.28377347959066734,
      0.2833591744497271,
      0.2829483468102301,
      0.2825409669182187,
      0.28213700526422403,
      0.2817364325662573,
      0.28133921980387366,
      0.28094533817699924,
      0.2805547592182171,
      0.2801674547280674,
      0.27978339671134644,
      0.2794025574156516,
      0.27902490925638984,
      0.2786504251621611,
      0.2782790779932431
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.183000418176558,
      10.993932436582938,
      10.79499095420429,
      10.587925982635884,
      10.374492214263135,
      10.156479748814185,
      9.935486797020074,
      9.712978837788143,
      9.49034106295483,
      9.268879247306213,
      9.049790646163233,
      8.834118074253103,
      8.622720917351572,
      8.41626186826953,
      8.215204364166343,
      8.019817631920603,
      7.830190703144698,
      7.646251501918363,
      7.467792183485516,
      7.294500984014423,
      7.125986059193137,
      6.9617976666681365,
      6.801450846915392,
      6.644445432467133,
      6.490283292101032,
      6.338482027211745,
      6.188584130785734,
      6.040171258944654,
      5.892876130455854,
      5.746377802187344,
      5.600407555316555,
      5.454761468350894,
      5.309308894816721,
      5.163989734558108,
      5.018791413563647,
      4.873752563716067,
      4.728981436533289,
      4.584655806364886,
      4.441017922770679,
      4.298366974421728,
      4.157042349696669,
      4.017417493404468,
      3.8798966335821725,
      3.744902695821041,
      3.6128666177216324,
      3.4842132334100833,
      3.35935006652586,
      3.238660646560845,
      3.122492674073384,
      3.0111494645893435,
      2.9048853848484617,
      2.803900181864103,
      2.708340310517637,
      2.618302388206619,
      2.533834320917393,
      2.4549382012725345,
      2.3815711276637312,
      2.3136334386866886,
      2.2509864724785182,
      2.1934735896670223,
      2.1409118205846944,
      2.093056195101891,
      2.0495769962977213,
      2.0100482229376118,
      1.974008113396376,
      1.9409888732224314,
      1.910516343622422,
      1.8821403418376195,
      1.855496281450737,
      1.8303074535489396,
      1.8063566036218386,
      1.7834793161916507,
      1.7615421050077753,
      1.7404368634572165,
      1.7200795922851195,
      1.7004043578114336,
      1.6813566106235005,
      1.662888871002208,
      1.6449600983071204,
      1.627535960422413,
      1.6105864810612938,
      1.5940861267012572,
      1.5780122951911733,
      1.5623440072926098,
      1.5470617595896725,
      1.532147392150251,
      1.5175839704449474,
      1.503355678817104,
      1.4894477249668834,
      1.4758462537336088,
      1.4625382695780447,
      1.4495115672224488,
      1.4367546682893675,
      1.4242568166258418,
      1.4120081485457168,
      1.3999994334181236,
      1.3882218910134123,
      1.3766671664321632,
      1.3653273063713767,
      1.3541947365746947,
      1.343262240655671,
      1.3325229396583707,
      1.321970273437697,
      1.3115979826440547,
      1.3014000919190762,
      1.291370894443078,
      1.2815049366457756,
      1.2717970043767068,
      1.262242141682454,
      1.2528357236744738,
      1.2435733291308368,
      1.234450697349205,
      1.2254637234597372,
      1.2166084843625824,
      1.2078814193092942,
      1.1992791866811614,
      1.1907985166665154,
      1.1824362172191945,
      1.1741891780273825,
      1.1660543732942326,
      1.1580288624982322,
      1.150109791146885,
      1.1422943904839271,
      1.134579976277932,
      1.1269639479366864,
      1.1194437865967162,
      1.1120170534290368,
      1.1046813873162726,
      1.097434502680723,
      1.0902741873788462,
      1.0831981870904557,
      1.076204136212915,
      1.0692897598076287,
      1.0624528973005116,
      1.0556914917024403,
      1.0490035798487747,
      1.042387284370446,
      1.0358408065851565,
      1.029362420360918,
      1.0229504664461775,
      1.016603321173717,
      1.0103193801231296,
      1.0040970900577777,
      0.9979349352253608,
      0.9918314578945401,
      0.9857852593422121,
      0.9797949949951289,
      0.973859370337226,
      0.9679771371247163,
      0.9621470903159207,
      0.9563680653097718,
      0.950638935290835,
      0.9449586089865114,
      0.9393260288884676,
      0.9337401693300444,
      0.9282000347255023,
      0.9227046583289916,
      0.9172531007513547,
      0.9118444487965972,
      0.9064778143136938,
      0.9011526652461332,
      0.8958689452537384,
      0.8906265515649971,
      0.8854253299895495,
      0.8802654025117609,
      0.8751469012495717,
      0.8700697919475874,
      0.8650339100342256,
      0.8600389892377777,
      0.8550846843577932,
      0.8501705900242118,
      0.8452962551816825,
      0.8404611950638338,
      0.8356649005840505,
      0.8309068456241224,
      0.8261864932571119,
      0.8215033002590181,
      0.816856720735904,
      0.812246209283772,
      0.807671222978153,
      0.8031312234212982,
      0.7986256780389149,
      0.7941540607339603,
      0.7897158531719753,
      0.7853105450234906,
      0.7809376345403923,
      0.77659662880677,
      0.7722870437685235,
      0.7680084041956395,
      0.7637602440364682,
      0.7595421061482905,
      0.7553535425246377,
      0.7511942879774345,
      0.7470643752187447,
      0.7429638099636199,
      0.7388924874039214,
      0.7348501816963304,
      0.7308366339672068,
      0.7268515608109798,
      0.7228946611705954,
      0.7189656212577521,
      0.7150641185705472,
      0.7111898254013508,
      0.707342411412994,
      0.7035215454698057,
      0.6997268969318312,
      0.6959581370785615,
      0.6922149399544588,
      0.6884969827413155,
      0.6848040211391003,
      0.6811360997129943,
      0.6774932683311987,
      0.6738754970681229,
      0.6702826951762899,
      0.6667147259665978,
      0.663171418074062,
      0.6596525742612991,
      0.6561579783963929,
      0.6526874006511049,
      0.649240601851398,
      0.6458173363062931,
      0.6424173544722659,
      0.6390404048764986,
      0.6356862354067918,
      0.632354594430439,
      0.6290452316187906,
      0.6257578986070264,
      0.6224923495943797,
      0.6192483880943139,
      0.6160260379176232,
      0.6128253511277002,
      0.6096463122622132,
      0.6064888549142894,
      0.6033528743983675,
      0.6002382375365145,
      0.5971447899254532,
      0.5940723617509929,
      0.5910207721161987,
      0.5879898325087703,
      0.5849793492653591,
      0.5819891254222771,
      0.5790192763850336,
      0.5760703833091512,
      0.5731432002012611,
      0.5702382728833684,
      0.5673559333389815,
      0.5644963581840141,
      0.5616596106991467,
      0.5588456722580053,
      0.5560544651076783,
      0.5532858691454129,
      0.550539734119051,
      0.5478158886907434,
      0.545114146671584,
      0.5424343120277056,
      0.5397761823663076,
      0.5371395515004626,
      0.5345242111764117,
      0.5319299526058172,
      0.5293565773954881,
      0.5268040248177104,
      0.5242722940649351,
      0.5217613266728337,
      0.5192710232566575,
      0.5168012551073428,
      0.5143518728569695,
      0.5119227129548508,
      0.5095136021285264,
      0.507124360480987,
      0.5047548044554644,
      0.5024047483296628,
      0.500074005160683,
      0.49776238830311675,
      0.4954697118268461,
      0.49319579075181197,
      0.4909404417620854,
      0.4887034830791711,
      0.4864847348933164,
      0.48428401938789695,
      0.48210116073872566,
      0.47993598516459374,
      0.47778832100411806,
      0.4756579987174341,
      0.47354485083848946,
      0.47144871203040173,
      0.46936941904080076,
      0.46730681053164097,
      0.46526072708842603,
      0.46323112335578304,
      0.46121808562378414,
      0.4592216485745117,
      0.457241791531116,
      0.4552784545361881,
      0.4533315499131662,
      0.4514009707246263,
      0.449486596691252,
      0.4475882982787208,
      0.4457059400100943,
      0.4438393844644345,
      0.44198849972686965,
      0.44015315237486097,
      0.4383332058004148,
      0.43652852161976363,
      0.4347389606402672,
      0.4329643834898426,
      0.43120465116559326,
      0.42945962550386274,
      0.42772916919139353,
      0.42601314600504947,
      0.4243114210519295,
      0.4226238607564236,
      0.42095033277214355,
      0.419290706276818,
      0.41764485186184597,
      0.41601264144992056,
      0.41439394826476567,
      0.4127887998135107,
      0.41119731684284405,
      0.409619547236892,
      0.4080554870278835,
      0.40650509558273945,
      0.4049683064330057,
      0.4034450350587311,
      0.4019351844173694,
      0.4004386490258464,
      0.39895531761066266,
      0.3974850752004178,
      0.39602780469390725,
      0.39458338767984713,
      0.3931517053264092,
      0.39173263865573965,
      0.3903260692485797,
      0.3889318793377196,
      0.38754995195267206,
      0.38618017106489994,
      0.38482242173456044,
      0.3834765901315604,
      0.3821425635333913,
      0.3808202304013794,
      0.37950948023013004,
      0.37821020378056547,
      0.37692229298484875,
      0.37564569208468257,
      0.3743803981235298,
      0.37312638439071727,
      0.3718836011642065,
      0.37065198236341046,
      0.369431450538321,
      0.368221920594609,
      0.36702330206464867,
      0.36583550107789925,
      0.3646584215537118,
      0.36349196628310215,
      0.36233603734345743,
      0.3611905366617969,
      0.3600553664999884,
      0.3589304294815269,
      0.3578156287965692,
      0.3567108684841655,
      0.3556160533598217,
      0.35453108909771025,
      0.3534558821617258,
      0.35239033999293645,
      0.35133437102119175,
      0.35028788460315324,
      0.34925079086044375,
      0.34822300092692543,
      0.3472044268931783,
      0.34619498172797986,
      0.3451945793292186,
      0.34420313445003975,
      0.34322056265269546,
      0.3422467805948931,
      0.34128170573451705,
      0.3403252562139605,
      0.3393773511537102,
      0.3384379105156866,
      0.33750685501999034,
      0.3365841062415398,
      0.3356695865311276,
      0.33476321914193546,
      0.3338649280407553,
      0.33297463787366094,
      0.3320922741240878,
      0.3312177631462542,
      0.33035103193406296,
      0.3294920081331289,
      0.32864062035999003,
      0.3277967977863922,
      0.3269604702847726,
      0.3261315685373579,
      0.3253100238552561,
      0.3244957682536259,
      0.3236887343636564,
      0.3228888555366116,
      0.3220960657851353,
      0.3213102998278618,
      0.3205314929708429,
      0.31975958119421405,
      0.31899450120268413,
      0.31823619030009365,
      0.31748458622753706,
      0.3167396274732298,
      0.3160012531395885,
      0.31526940296467265,
      0.3145440171292092,
      0.31382503653580446,
      0.3131124027212167,
      0.31240605765602225,
      0.3117059439401635,
      0.31101200474578594,
      0.31032418376178933,
      0.3096424252035885,
      0.30896667386258625,
      0.30829687506836456,
      0.3076329747797652,
      0.30697491938549815,
      0.30632265578563694,
      0.30567613139843014,
      0.3050352941814557,
      0.3044000925401084,
      0.30377047545341435,
      0.30314639227110335,
      0.3025277985528548,
      0.3019146601533876,
      0.30130694065117225,
      0.30070460018300205,
      0.3001075965151797,
      0.2995158858768352,
      0.2989294235453747,
      0.29834816407185843,
      0.2977720618216202,
      0.2972010711957482,
      0.29663514661085794,
      0.2960742320646469,
      0.2955182347093634,
      0.2949670661458473,
      0.2944206513178699,
      0.29387892484366446,
      0.2933418285285228,
      0.2928093095654854,
      0.2922813190103459,
      0.29175781088156355,
      0.2912387414872356,
      0.290724068786083,
      0.2902137521739716,
      0.28970775202134386,
      0.28920602960868447,
      0.2887085469248372,
      0.2882152665445821,
      0.2877261515333208,
      0.2872411655317931,
      0.2867602725501105,
      0.28628343701745534,
      0.285810623782404,
      0.2853417979744911,
      0.2848769250705209,
      0.28441597093641086,
      0.2839589017304864,
      0.2835056839349785,
      0.2830562843249828,
      0.28261067000189516,
      0.28216880840267783,
      0.2817306672083293,
      0.2812962144059955,
      0.2808654182500787,
      0.2804382472753117,
      0.28001467034890487,
      0.27959465662209776,
      0.2791781754061702,
      0.2787651964307305,
      0.2783556897091111,
      0.2779496253664682,
      0.2775469738881105,
      0.2771477060128373,
      0.2767517927670843,
      0.2763592054618928,
      0.27596991562710155,
      0.27558389506102987,
      0.2752011157282454,
      0.27482154984874213,
      0.2744451699752134,
      0.27407194886808667,
      0.27370185954917925,
      0.27333487528017525
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182986647649154,
      10.9938810570852,
      10.794885114357411,
      10.587755318191222,
      10.374253299771082,
      10.156174007660326,
      9.935118233940344,
      9.712554137606888,
      9.48986873726313,
      9.268368787914481,
      9.049251865046845,
      8.833560665979709,
      8.622154155883525,
      8.415694041805743,
      8.214642574418551,
      8.019267701940276,
      7.829657101170356,
      7.645737205121586,
      7.467299006508337,
      7.294029733944524,
      7.125536921978204,
      6.961370434769512,
      6.801045112090929,
      6.644060767550593,
      6.489919416218947,
      6.338139099186289,
      6.188262994757595,
      6.039873193912726,
      5.892603180512355,
      5.746133042070368,
      5.600194650010938,
      5.4545847358561135,
      5.309173341493315,
      5.16390124932189,
      5.018757541236903,
      4.873781384164593,
      4.729081170300735,
      4.58483468463577,
      4.441284036099601,
      4.298728409227274,
      4.1575072948459955,
      4.017993453642698,
      3.8805902704837223,
      3.745719685498266,
      3.6138112987994977,
      3.4852895789968685,
      3.3605610548462463,
      3.2400077464409542,
      3.1239760519300392,
      3.0127680288719136,
      2.90663635424136,
      2.8057787149127793,
      2.7103408812399916,
      2.62041870121171,
      2.536059420326093,
      2.457264580738699,
      2.3839896227640907,
      2.316133162380152,
      2.253556591138148,
      2.196103231196932,
      2.143588229918333,
      2.0957643051846935,
      2.0522992005605767,
      2.012764795294584,
      1.9767003071709308,
      1.9436390983476528,
      1.9131092875908555,
      1.8846634667672708,
      1.8579398894564925,
      1.832664213545297,
      1.8086204767642375,
      1.7856444077963036,
      1.7636039947555013,
      1.7423919027374368,
      1.7219247488831035,
      1.7021369685853598,
      1.6829748425380986,
      1.6643917889104987,
      1.6463470629972692,
      1.6288061949314199,
      1.6117396271618438,
      1.5951213933025075,
      1.5789292368958021,
      1.5631427071842188,
      1.5477427225141416,
      1.532711456046205,
      1.5180322329304603,
      1.5036894364676285,
      1.4896684228520098,
      1.4759554451561554,
      1.462537581981268,
      1.449402674750165,
      1.4365392698513435,
      1.423936627778006,
      1.4115848956133201,
      1.399474823533561,
      1.3875976031977038,
      1.3759448448140819,
      1.3645085550541456,
      1.3532811161697624,
      1.3422552658435212,
      1.3314240777481001,
      1.3207809431869577,
      1.3103195540770174,
      1.3000338868647434,
      1.289918186704454,
      1.2799669527966049,
      1.2701749248106866,
      1.2605370998121113,
      1.2510488070755887,
      1.241705585060693,
      1.2325031340827,
      1.2234373111444974,
      1.2145042166737376,
      1.2057003238778772,
      1.1970222363071505,
      1.1884666341611438,
      1.1800302793419455,
      1.17171001917489,
      1.1635027880190552,
      1.1554056085293007,
      1.147415592244969,
      1.1395299381607675,
      1.1317459321538192,
      1.1240609457146997,
      1.1164724333444362,
      1.108977931078866,
      1.1015750542274572,
      1.094261494700382,
      1.087034925058915,
      1.079892892060359,
      1.0728330260834635,
      1.0658530768463421,
      1.0589509020174273,
      1.0521244573926207,
      1.0453717882843607,
      1.0386910223792178,
      1.0320803612189962,
      1.0255380357104957,
      1.0190623161890087,
      1.0126515455313878,
      1.0063041335800702,
      1.0000185442234069,
      0.9937932732260841,
      0.9876268699987513,
      0.9815179401132539,
      0.9754651409997389,
      0.9694671782001582,
      0.9635228023822803,
      0.957630805996883,
      0.9517900209009674,
      0.9459993160328862,
      0.9402575954463097,
      0.9345637960943213,
      0.9289168866360447,
      0.9233158657426681,
      0.9177597605658157,
      0.9122479317652216,
      0.9067800371136584,
      0.9013557486624162,
      0.8959749864227725,
      0.8906379705383141,
      0.8853448048034438,
      0.8800954211651695,
      0.8748896171419133,
      0.8697270856936187,
      0.8646074391345626,
      0.8595302280585941,
      0.854494956693044,
      0.8495010953276236,
      0.8445480898993778,
      0.8396353695708233,
      0.8347623530329805,
      0.8299284534990287,
      0.8251330822493593,
      0.820375651654393,
      0.8156555776331976,
      0.8109722815047505,
      0.8063251913912268,
      0.8017137429238004,
      0.7971373802211973,
      0.7925955565348715,
      0.7880877343604017,
      0.7836133859836716,
      0.7791719936510636,
      0.774763049365314,
      0.7703860549696683,
      0.7660405223693798,
      0.7617260054267755,
      0.7574423811986288,
      0.7531896726324353,
      0.7489679123789927,
      0.7447773137157452,
      0.7406177022294824,
      0.736488646792617,
      0.7323897235997563,
      0.7283205159200968,
      0.7242806143064002,
      0.7202696166401711,
      0.7162871282426506,
      0.712332761544738,
      0.7084061362055802,
      0.7045068789694839,
      0.7006346236171884,
      0.6967890108088365,
      0.6929698075621353,
      0.6891770551222894,
      0.6854107680753524,
      0.6816708840048415,
      0.6779572820652423,
      0.6742697973692595,
      0.6706082321721364,
      0.6669723642920831,
      0.6633619539365894,
      0.6597767485985732,
      0.6562164872076086,
      0.6526809031924903,
      0.6491697266680742,
      0.6456826863895556,
      0.6422195112768835,
      0.6387799311834264,
      0.6353636777260623,
      0.63197048512866,
      0.6286000903697337,
      0.6252522753343127,
      0.6219270444441293,
      0.6186244451524852,
      0.6153444550266789,
      0.612086998740299,
      0.6088519613720644,
      0.6056391987941212,
      0.6024485450295235,
      0.5992798181286604,
      0.5961328249384629,
      0.5930073645257617,
      0.5899032306720366,
      0.5868203423092595,
      0.5837591288239128,
      0.5807203311142458,
      0.5777046133167641,
      0.5747123889294666,
      0.5717438894745887,
      0.5687992142611565,
      0.5658783668370285,
      0.5629812814521087,
      0.5601078427468195,
      0.5572578998736933,
      0.5544312769544666,
      0.551627780950657,
      0.5488472070737604,
      0.5460893427971499,
      0.5433539708123419,
      0.540640871450134,
      0.5379498238603462,
      0.5352806074318758,
      0.5326330655656908,
      0.5300071887592885,
      0.5274029413916614,
      0.5248202372205392,
      0.5222589540341497,
      0.5197189439510574,
      0.5172000410550436,
      0.514702067230501,
      0.5122248362939342,
      0.5097681569191759,
      0.5073318347476409,
      0.5049156738183143,
      0.5025194778568376,
      0.5001430509694267,
      0.49778619835610566,
      0.4954487266630719,
      0.493130444307118,
      0.49083116162008006,
      0.488550691018112,
      0.48628884701823694,
      0.4840454463313192,
      0.4818203080319442,
      0.479613253271872,
      0.4774241055027942,
      0.475252690319095,
      0.47309883558172955,
      0.47096237131469076,
      0.4688431563570432,
      0.46674122483168107,
      0.4646566499420767,
      0.4625894355491281,
      0.46053953643529544,
      0.4585068727381798,
      0.4564913403157118,
      0.4544928180960077,
      0.4525111733534953,
      0.4505462655148833,
      0.4485979490167438,
      0.4466660753523182,
      0.4447504942636331,
      0.4428510546684904,
      0.44096760560530845,
      0.4390999966397442,
      0.4372480781924723,
      0.4354117044343332,
      0.43359073833047795,
      0.4317850428170316,
      0.4299944797109776,
      0.42821891039189297,
      0.426458196452788,
      0.42471220004265614,
      0.4229807841821476,
      0.42126381295155835,
      0.41956115147525913,
      0.4178726877270164,
      0.41619848168547624,
      0.4145386421870727,
      0.4128932059440146,
      0.4112621587508438,
      0.4096454506721778,
      0.4080430063171324,
      0.40645473267961657,
      0.40488052464861246,
      0.4033202688184581,
      0.4017738464016519,
      0.40024113502570735,
      0.3987220102598255,
      0.3972163466989734,
      0.39572401848209326,
      0.39424489990780237,
      0.3927788658699691,
      0.3913257920385553,
      0.3898855549134923,
      0.3884580321844968,
      0.387043102634818,
      0.385640646250254,
      0.38425054415215737,
      0.38287267863411717,
      0.38150693335318125,
      0.3801531931934051,
      0.378811344284563,
      0.3774812738447991,
      0.3761628762058841,
      0.37485611714913375,
      0.373560991117607,
      0.37227746206604934,
      0.37100547248826493,
      0.36974494981615946,
      0.3684958112103648,
      0.3672579667348069,
      0.36603132158755236,
      0.36481577785480773,
      0.3636112357682192,
      0.36241759457254974,
      0.36123475305728076,
      0.3600626099835127,
      0.35890106448354514,
      0.35775001625701786,
      0.35660936561503165,
      0.35547901370326795,
      0.3543588624721813,
      0.35324881477636716,
      0.35214877437382375,
      0.35105864600388137,
      0.34997833544180607,
      0.3489077493273038,
      0.3478467953509615,
      0.34679538208722543,
      0.34575341905868645,
      0.3447208167516071,
      0.34369748658317983,
      0.3426833409474782,
      0.34167829313675907,
      0.3406822572650304,
      0.33969514837183346,
      0.33871688237575037,
      0.33774737615753736,
      0.33678654744215375,
      0.33583431478504344,
      0.33489059748396915,
      0.33395531572215675,
      0.3330283905225411,
      0.33210974373011193,
      0.3311992980090685,
      0.33029697680429415,
      0.32940270427899104,
      0.3285164054200904,
      0.3276380059297677,
      0.32676743229646843,
      0.32590461177957125,
      0.3250494724215927,
      0.3242019429352021,
      0.3233619526814509,
      0.3225294318275537,
      0.32170431124005006,
      0.32088652245632737,
      0.3200759977087723,
      0.31927266979848856,
      0.31847647228820025,
      0.3176873394944738,
      0.31690520632901503,
      0.31613000826903676,
      0.315361681520169,
      0.314600162952425,
      0.31384538998731115,
      0.31309730066457786,
      0.31235583363448605,
      0.311620928228184,
      0.31089252436495357,
      0.3101705624481663,
      0.3094549835426921,
      0.30874572924906907,
      0.30804274175727775,
      0.3073459638513669,
      0.30665533887771085,
      0.3059708107025443,
      0.30529232370886533,
      0.3046198228842282,
      0.3039532537447079,
      0.30329256231161417,
      0.302637695089825,
      0.30198860382891796,
      0.30134525221635267,
      0.3007076020012633,
      0.3000756112513001,
      0.2994492355064335,
      0.2988284287069006,
      0.2982131435677234,
      0.2976033062949805,
      0.2969988142911573,
      0.2963995770548965,
      0.29580551699384006,
      0.29521656588855355,
      0.2946326624599945,
      0.2940537504460323,
      0.29347977745978243,
      0.29291069407810744,
      0.2923464530686611,
      0.29178700877721764,
      0.2912323169660963,
      0.29068233442865815,
      0.29013701878536274,
      0.2895963284737546,
      0.28906022263952086,
      0.28852866087712203,
      0.2880016032649347,
      0.2874790103379754,
      0.28696084313867404,
      0.28644706311674695,
      0.2859376320811039,
      0.2854325122041867,
      0.28493166593801694,
      0.2844350562240808,
      0.28394264633577143,
      0.2834543998873173,
      0.28297028084376524,
      0.282490253430606,
      0.2820142821712636,
      0.28154233206536355,
      0.2810743683746066,
      0.28061035654906924,
      0.2801502624724586,
      0.2796940522888141,
      0.27924169249721476,
      0.27879314990780696,
      0.27834839158617414,
      0.2779073849640368,
      0.27747009767098674,
      0.2770364975579513,
      0.276606553001335,
      0.2761802324707378,
      0.27575750469524796,
      0.27533833889412207,
      0.2749227044746543,
      0.27451057106171245,
      0.2741019085406319,
      0.2736966871643649,
      0.273294877318717,
      0.27289644975873034,
      0.2725013755151271,
      0.27210962573864295,
      0.27172117190062844,
      0.271335985804057,
      0.2709540394173706,
      0.27057530500180993,
      0.27019975513784045,
      0.2698273624980535,
      0.2694581000277483,
      0.26909194102441125,
      0.26872885892618636
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182977690333074,
      10.993840229800472,
      10.79479623405707,
      10.587608484665123,
      10.374045237094554,
      10.155906124494901,
      9.934794514123926,
      9.71218118696869,
      9.489454917249757,
      9.2679233533756,
      9.048784337322903,
      8.83308037357646,
      8.621670010428772,
      8.415214036923539,
      8.214173555435616,
      8.018815287956294,
      7.829225542718615,
      7.64532933513388,
      7.466916729370206,
      7.2936739908117945,
      7.12520798634379,
      6.961068229527811,
      6.800769392137707,
      6.643811288455055,
      6.489696087797874,
      6.337942269496909,
      6.188093686841661,
      6.039732821247297,
      5.8924937626782965,
      5.746057600527824,
      5.600156853143784,
      5.454588816710209,
      5.309224113987517,
      5.1640043150852275,
      5.018920093939154,
      4.874011063583514,
      4.729385648628708,
      4.585221540394766,
      4.441760608793275,
      4.299301952983819,
      4.158185119851007,
      4.018782131590249,
      3.881495486101774,
      3.7467461162723756,
      3.6149622460221553,
      3.4865679453484253,
      3.3619687601551638,
      3.2415452554731257,
      3.125642619033844,
      3.0145617550799555,
      2.9085537303627755,
      2.8078143911908677,
      2.7124890246439377,
      2.622672812273975,
      2.538412438704016,
      2.45970906176205,
      2.386516570295699,
      2.3187319058155604,
      2.256216571611857,
      2.1988139067447245,
      2.146337322575509,
      2.0985373951703963,
      2.0550794869058753,
      2.015533449482709,
      1.9794397618918704,
      1.9463329695737868,
      1.9157434269469793,
      1.8872263899031534,
      1.8604227471532666,
      1.8350603529742133,
      1.8109244281404888,
      1.7878507781362873,
      1.7657089849542236,
      1.7443925981344277,
      1.7238185907451016,
      1.703921456794647,
      1.6846482260859366,
      1.6659531943164085,
      1.6477962904685666,
      1.6301428101218238,
      1.6129634282329275,
      1.5962320362607496,
      1.579926148237258,
      1.5640258571596435,
      1.5485125152953745,
      1.5333686394271706,
      1.5185778230485785,
      1.5041246556471426,
      1.4899946489551128,
      1.47617416867588,
      1.4626503725919953,
      1.4494111531237774,
      1.4364450850681802,
      1.4237414465584304,
      1.411290395256183,
      1.3990826652354447,
      1.3871094227451746,
      1.3753622457117258,
      1.363833103395481,
      1.3525143368645811,
      1.3413986395110162,
      1.3304790391125765,
      1.3197488803393245,
      1.3092018079167378,
      1.2988317510041882,
      1.2886329080173027,
      1.278599732081751,
      1.2687269178581786,
      1.2590094161579772,
      1.2494425099867414,
      1.2400216990432829,
      1.2307426452049284,
      1.22160116860537,
      1.2125934219321486,
      1.2037158712603164,
      1.194965068365258,
      1.186337646083215,
      1.177830322766823,
      1.1694399050962005,
      1.1611632898919328,
      1.1529974649126538,
      1.1449395086684264,
      1.1369865894311886,
      1.129135964231733,
      1.1213849770544526,
      1.1137310569646728,
      1.106171715783202,
      1.0987045456321092,
      1.0913271577258685,
      1.0840370163851833,
      1.0768316492115835,
      1.0697087089779251,
      1.062665961742361,
      1.0557012762624822,
      1.0488126156265396,
      1.041998023781476,
      1.0352555808491029,
      1.0285834218857561,
      1.0219797619017645,
      1.0154428897100598,
      1.0089711621493422,
      1.0025629985811133,
      0.9962168697614425,
      0.9899312752186694,
      0.9837047651224534,
      0.9775359442142302,
      0.9714234676425898,
      0.965366037656627,
      0.9593624004457202,
      0.9534113435854529,
      0.947511693429622,
      0.941662313213358,
      0.9358621008008539,
      0.9301099869440136,
      0.9244051458202228,
      0.9187471252639084,
      0.9131354546988881,
      0.907569758899291,
      0.9020501026747436,
      0.8965766159396542,
      0.8911492542826012,
      0.8857678224031617,
      0.8804320076543364,
      0.8751414068326887,
      0.8698955474446425,
      0.864693904971589,
      0.8595359164789422,
      0.8544209913637949,
      0.8493485202342779,
      0.8443178816880511,
      0.8393284475672688,
      0.8343795874674057,
      0.8294706720037194,
      0.824601075506923,
      0.8197701778510884,
      0.8149773660307095,
      0.8102220352383888,
      0.8055035899061586,
      0.8008214442052147,
      0.7961750229241978,
      0.7915637611520203,
      0.7869871046997842,
      0.7824445100947808,
      0.7779354445040468,
      0.7734593859450984,
      0.7690158861941365,
      0.7646048461685369,
      0.7602262496919158,
      0.7558801255747292,
      0.7515666985229,
      0.7472860806577488,
      0.7430379598367732,
      0.7388217579522045,
      0.7346369317857762,
      0.7304829673054675,
      0.7263593750391774,
      0.7222656868562113,
      0.7182014527484817,
      0.7141662387498156,
      0.7101596251741444,
      0.7061812049909922,
      0.7022306499820686,
      0.6983079336436264,
      0.6944130632982126,
      0.6905459655292259,
      0.68670650570665,
      0.6828945031361722,
      0.6791097424122526,
      0.6753519827133916,
      0.671620964861893,
      0.6679164167551803,
      0.6642380574130022,
      0.6605856003147101,
      0.6569587557313661,
      0.6533572326708575,
      0.6497807405693967,
      0.6462289900223827,
      0.6427016938554545,
      0.6391985674956375,
      0.6357193296624101,
      0.6322637025921786,
      0.6288315839796318,
      0.6254230320715496,
      0.6220380414755644,
      0.6186765462571626,
      0.615338435180389,
      0.6120235630276423,
      0.6087317596619886,
      0.6054628365541302,
      0.6022165922197191,
      0.5989928158200472,
      0.5957912905919253,
      0.592612018808333,
      0.5894554930271663,
      0.5863224899479326,
      0.5832136346926989,
      0.580129308404977,
      0.5770697149584401,
      0.5740349295529674,
      0.5710249344191113,
      0.5680396446448515,
      0.5650789272083949,
      0.5621426151350953,
      0.5592305174856678,
      0.5563424269384526,
      0.5534781249381141,
      0.5506373858794177,
      0.5478199798552066,
      0.5450256749961476,
      0.54225423867247,
      0.5395054385791744,
      0.536779113525771,
      0.5340752504842305,
      0.5313938073998338,
      0.5287346903767648,
      0.5260977688185581,
      0.5234828859586494,
      0.5208898667496715,
      0.5183185237987468,
      0.515768661521686,
      0.5132400791151949,
      0.5107325727130365,
      0.5082459371409533,
      0.5057799669457171,
      0.5033344573632715,
      0.5009092046188408,
      0.4985040066542073,
      0.4961186633948981,
      0.4937529766593998,
      0.491406750397411,
      0.48907979095332976,
      0.48677190707572193,
      0.48448290982602843,
      0.4822126125638954,
      0.4799608311117173,
      0.47772738351349425,
      0.4755120902782314,
      0.47331479092623635,
      0.4711355012398056,
      0.4689743009709011,
      0.4668311960182531,
      0.46470613994283244,
      0.4625990494867688,
      0.4605098155829089,
      0.45843831108947963,
      0.4563843965483878,
      0.4543479242666033,
      0.45232874121923405,
      0.45032669103771306,
      0.4483416157779605,
      0.44637335673614525,
      0.44442175510438486,
      0.44248665279927724,
      0.44056789257571904,
      0.4386653184696821,
      0.4367787758846942,
      0.43490811162787135,
      0.43305317422634476,
      0.43121381376186363,
      0.4293898819359984,
      0.4275812355706433,
      0.4257877396924192,
      0.4240092593438416,
      0.4222456585931232,
      0.4204969088859831,
      0.418763132811558,
      0.41704440084167843,
      0.4153407204295018,
      0.41365205451930226,
      0.41197833465398487,
      0.41031947048212364,
      0.4086753564361725,
      0.40704587667437064,
      0.40543090830309925,
      0.4038303239607692,
      0.402243993466678,
      0.40067178510001245,
      0.3991135664896798,
      0.39756920524344347,
      0.39603856937123544,
      0.39452152768131044,
      0.39301794987149735,
      0.3915277066969733,
      0.3900506700122105,
      0.38858671296694813,
      0.38713571012782644,
      0.3856975371702885,
      0.3842720712337222,
      0.38285919074502084,
      0.38145877547373497,
      0.38007070636060936,
      0.3786948657555673,
      0.37733113735292945,
      0.37597940620629805,
      0.37463962798915135,
      0.3733118004040669,
      0.37199588870268824,
      0.37069183525764027,
      0.36939956644844224,
      0.3681189976302269,
      0.36685003663620636,
      0.3655925860547879,
      0.3643465452320346,
      0.3631118114716303,
      0.3618882809460319,
      0.3606758493473805,
      0.3594744123315138,
      0.35828386590943523,
      0.3571041066095866,
      0.3559350316914373,
      0.35477653923280034,
      0.3536285282446745,
      0.35249089853310145,
      0.3513635508174593,
      0.35024638695229326,
      0.3491393096939346,
      0.34804222287655734,
      0.3469550313615704,
      0.34587764096464035,
      0.3448099583336342,
      0.34375189123570066,
      0.34270334844046285,
      0.34166423955451225,
      0.34063447524001644,
      0.3396139670794278,
      0.3386026275447895,
      0.33760036999455895,
      0.33660710872350297,
      0.33562275898970406,
      0.33464723689164627,
      0.3336804593362625,
      0.33272234417476565,
      0.3317728100864809,
      0.33083177656659524,
      0.32989916390349566,
      0.32897489308189765,
      0.32805888609473943,
      0.3271510657744521,
      0.3262513556651119,
      0.32535967998526616,
      0.3244759638853303,
      0.3236001332111781,
      0.32273211462633766,
      0.32187183543081516,
      0.3210192236742979,
      0.32017420816990183,
      0.31933671847179995,
      0.31850668481674393,
      0.3176840381312011,
      0.3168687100913899,
      0.3160606330073597,
      0.31525973979780136,
      0.31446596414493544,
      0.3136792403715907,
      0.31289950342185213,
      0.3121266889582954,
      0.3113607332448066,
      0.3106015731967107,
      0.30984914631824495,
      0.3091033907309243,
      0.3083642451907896,
      0.3076316491077142,
      0.3069055424650672,
      0.30618586581707047,
      0.3054725601736932,
      0.3047655672556041,
      0.30406482929321565,
      0.303370289145656,
      0.3026818901797069,
      0.3019995764047213,
      0.30132329917216005,
      0.30065302039530595,
      0.2999886992280176,
      0.2993302731448745,
      0.2986776378411003,
      0.29803069584124586,
      0.29738936339165856,
      0.2967535668019966,
      0.2961232396636175,
      0.29549832099787754,
      0.2948787539588955,
      0.29426448486940476,
      0.2936554623953624,
      0.29305163691974023,
      0.29245296027906725,
      0.2918593854029,
      0.2912708662373574,
      0.29068735754480146,
      0.29010881470633876,
      0.28953519383187615,
      0.2889664514526178,
      0.28840254460950693,
      0.28784343085422986,
      0.28728906816279853,
      0.28673941499057676,
      0.2861944300998329,
      0.2856540727824892,
      0.2851183026524328,
      0.2845870796548424,
      0.2840603642038792,
      0.2835381170674881,
      0.2830202993296624,
      0.2825068724302286,
      0.28199779815463444,
      0.28149303868864056,
      0.28099255662339395,
      0.2804963147200994,
      0.2800042761969953,
      0.2795164046996392,
      0.2790326639926014,
      0.27855301826255896,
      0.2780774320789497,
      0.2776058703306015,
      0.27713829817628793,
      0.27667468109760307,
      0.27621498485142915,
      0.27575917557596463,
      0.27530721961792753,
      0.2748590837423274,
      0.2744147349363812,
      0.2739741404688021,
      0.2735372679498144,
      0.2731040853034261,
      0.27267456074065066,
      0.27224866274653153,
      0.27182636005535865,
      0.2714076217283871,
      0.27099241702915794,
      0.2705807155794675,
      0.2701724873129139,
      0.26976770236589526,
      0.26936633107120644,
      0.2689683440793215,
      0.26857371228994864,
      0.26818240693740364,
      0.26779439943495165,
      0.2674096614491845,
      0.26702816498764775,
      0.2666498821951529,
      0.26627478554506356,
      0.2659028477771495,
      0.2655340417345473,
      0.2651683405702133,
      0.26480571775055217,
      0.26444614694595303
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182969168502833,
      10.993801464150183,
      10.794711964261097,
      10.587469507042984,
      10.373848711327822,
      10.155653737852466,
      9.93449049459087,
      9.711832316810867,
      9.489069658293685,
      9.267510981336072,
      9.048354333673098,
      8.83264196689945,
      8.621231988981206,
      8.414784277296821,
      8.213758793624743,
      8.018421053427009,
      7.828856024259213,
      7.64498733740494,
      7.466604164188501,
      7.293391834972126,
      7.12495657844898,
      6.960847584290779,
      6.800579374726677,
      6.643651776898536,
      6.489567117029049,
      6.3378443097075,
      6.188027874466492,
      6.039700652652797,
      5.892497187683701,
      5.7460995564273185,
      5.600240996000528,
      5.45471930057423,
      5.3094055927968125,
      5.164242157335069,
      5.019221209231176,
      4.8743827447363035,
      4.729835142677505,
      4.585755923618967,
      4.44238664787087,
      4.3000260188008195,
      4.159013638113574,
      4.019721008414501,
      3.8825497086708673,
      3.7479196486713025,
      3.6162576766053127,
      3.487987015987278,
      3.3635126385571885,
      3.243213697203741,
      3.127434239372544,
      3.0164740950649542,
      2.910582407098795,
      2.8099539583590984,
      2.71473350007702,
      2.625015619287375,
      2.540846509870056,
      2.462227017967017,
      2.3891095645178257,
      2.321389499658813,
      2.258928477525465,
      2.2015699114486207,
      2.1491255701930694,
      2.101344018556275,
      2.0578884256249483,
      2.0183267847577726,
      1.9822008398615865,
      1.9490463313854902,
      1.9183958089130309,
      1.8898071073341745,
      1.8629235998975147,
      1.8374752096301974,
      1.813248430391671,
      1.7900790238964284,
      1.7678379842732386,
      1.746419699007555,
      1.7257414317459265,
      1.7057378767625853,
      1.6863565698214136,
      1.6675526869035389,
      1.649286826942594,
      1.6315243388112284,
      1.6142357610216544,
      1.5973953769180715,
      1.5809802015532717,
      1.5649704903461457,
      1.5493480393517443,
      1.534095717192078,
      1.5191973929003704,
      1.504637868552567,
      1.4904028163915857,
      1.476478720157053,
      1.462852820497138,
      1.449513064303183,
      1.436448057724611,
      1.423647098021469,
      1.4111003536552387,
      1.3987985453062897,
      1.3867328166097475,
      1.374894715780445,
      1.3632761766492008,
      1.3518695006893326,
      1.3406673391079378,
      1.3296626755399004,
      1.3188488093135144,
      1.3082193393991683,
      1.2977681490420923,
      1.2874893912245964,
      1.2773774743840063,
      1.2674270495344546,
      1.2576330215509985,
      1.2479906275069335,
      1.2384953291502805,
      1.229142751607266,
      1.2199287091358533,
      1.21084939362981,
      1.2019012314200233,
      1.1930807265542636,
      1.1843844676203978,
      1.1758091319092725,
      1.1673514878243512,
      1.1590083965409095,
      1.150776812541991,
      1.1426537829606283,
      1.1346364469789232,
      1.1267220339368578,
      1.1189078616513533,
      1.1111913345108837,
      1.1035699406549688,
      1.0960412189614728,
      1.0886025810689473,
      1.0812514436614407,
      1.0739853548125655,
      1.0668019822231107,
      1.0596991018329271,
      1.0526745840607026,
      1.0457263473437681,
      1.0388523734810082,
      1.0320507333904458,
      1.0253195799526849,
      1.0186571411134373,
      1.0120617145177062,
      1.0055316623056438,
      0.9990654065303317,
      0.9926614189950795,
      0.9863181986256238,
      0.98003429281972,
      0.9738083020223101,
      0.9676388766594093,
      0.9615247137570452,
      0.9554645537045333,
      0.949457177824473,
      0.9435014060395374,
      0.9375961620814639,
      0.9317407896590777,
      0.9259347735416874,
      0.9201776221109983,
      0.9144691851431406,
      0.908809294819855,
      0.9031977942288025,
      0.8976345441670774,
      0.8921192701021237,
      0.8866515873946459,
      0.8812310268421536,
      0.8758570550630034,
      0.8705290907832893,
      0.8652465182343894,
      0.8600086971832147,
      0.8548149715539939,
      0.8496646755938544,
      0.8445571390233712,
      0.8394916913390783,
      0.8344676648221652,
      0.8294843968733141,
      0.8245412319869587,
      0.8196375231681563,
      0.8147726330523654,
      0.8099459346312706,
      0.8051568116902766,
      0.8004046593171721,
      0.7956888841288056,
      0.7910089043201735,
      0.7863641496402118,
      0.7817540614476994,
      0.777178131811113,
      0.7726361933937531,
      0.7681282190183935,
      0.7636541677214432,
      0.7592142349552928,
      0.754808550789151,
      0.7504371093931786,
      0.7460995800241006,
      0.7417952981548008,
      0.7375236173314156,
      0.7332839386082771,
      0.7290757021963162,
      0.7248983812169723,
      0.7207514762738411,
      0.7166345113895138,
      0.7125470306346148,
      0.7084888037151995,
      0.7044598285471647,
      0.7004600398537221,
      0.6964893032691798,
      0.6925474323447216,
      0.6886342016893001,
      0.684749357300197,
      0.6808926244440207,
      0.6770637137214718,
      0.6732623256646545,
      0.6694881543386757,
      0.6657408901365506,
      0.662020221979625,
      0.6583258387527191,
      0.6546574308178157,
      0.6510146907981419,
      0.6473973141943642,
      0.6438049999884448,
      0.6402374509833252,
      0.6366943948095304,
      0.6331757794896483,
      0.6296816485592781,
      0.6262119695863992,
      0.6227666530214825,
      0.6193455661134938,
      0.6159485445391146,
      0.61257540050837,
      0.6092259293313171,
      0.6058999143892634,
      0.6025971309332431,
      0.5993174805327124,
      0.5960613861448142,
      0.5928295972931361,
      0.5896228076377601,
      0.5864414439185527,
      0.5832857392007005,
      0.5801557857067139,
      0.5770515740324463,
      0.573973021592726,
      0.5709199932613507,
      0.5678923166882337,
      0.5648897934871201,
      0.5619122071955687,
      0.5589593293295765,
      0.5560309235530342,
      0.5531267486883644,
      0.5502465611631066,
      0.5473901167736537,
      0.5445571716699901,
      0.5417475081758233,
      0.5389610679615211,
      0.536197828389824,
      0.5334577064917935,
      0.530740576473098,
      0.5280462821010689,
      0.5253746457735983,
      0.5227254753439496,
      0.5200985687740718,
      0.5174937178798624,
      0.5149107107220212,
      0.5123493336436664,
      0.509809372274488,
      0.507290612700253,
      0.5047928420653274,
      0.5023158490926013,
      0.49985942444714626,
      0.4974233609703576,
      0.49500745370909044,
      0.4926115001220607,
      0.49023530020999045,
      0.48787865646796275,
      0.48554137383874846,
      0.4832232597682907,
      0.48092412421171227,
      0.4786437795640813,
      0.476382117936929,
      0.4741392164509707,
      0.4719151175894824,
      0.4697097984005673,
      0.46752318960580347,
      0.46535518932725717,
      0.4632056729564408,
      0.46107450024150304,
      0.4589615202532042,
      0.4568665752144234,
      0.4547895029001652,
      0.4527301384316516,
      0.4506883157243584,
      0.44866386849393786,
      0.4466566307727105,
      0.44466643742184225,
      0.44269312448860104,
      0.44073652941016495,
      0.4387964911408164,
      0.436872850279703,
      0.434965449097891,
      0.43307413164316483,
      0.43119874371921874,
      0.4293391329684181,
      0.42749514872780325,
      0.425666642090506,
      0.423853570128912,
      0.4220560543045069,
      0.42027417105429216,
      0.41850793703439276,
      0.41675732042333047,
      0.41502225441779966,
      0.41330264782687126,
      0.41159839249742647,
      0.40990936866583205,
      0.4082354487127725,
      0.4065764999707886,
      0.40493238651815416,
      0.4033029707288511,
      0.40168811420235384,
      0.4000876783821278,
      0.3985015251962339,
      0.39692951723828823,
      0.39537151804936777,
      0.3938273923245759,
      0.392297005942309,
      0.39078022614788877,
      0.38927692148485826,
      0.38778696177905786,
      0.38631021850651404,
      0.38484656442671866,
      0.38339587359981087,
      0.381958021558689,
      0.3805328852294696,
      0.37912034275310713,
      0.37772027371607964,
      0.3763325590788133,
      0.37495710730198567,
      0.37359390891741673,
      0.37224294267547425,
      0.3709041595342781,
      0.3695774909296965,
      0.3682628546316928,
      0.36696015915018,
      0.3656693065788959,
      0.3643901947269159,
      0.36312271882615277,
      0.36186677248960936,
      0.36062224871286486,
      0.3593890403373441,
      0.3581670401809079,
      0.3569561417006895,
      0.35575623879165136,
      0.35456722627233817,
      0.35338899981251737,
      0.35222145604079474,
      0.3510644925267045,
      0.34991800794342665,
      0.34878190190195946,
      0.3476560751945464,
      0.3465404295325811,
      0.3454348676423308,
      0.3443392932361453,
      0.3432536110880129,
      0.3421777269078767,
      0.3411115475237892,
      0.3400549805579583,
      0.3390079347156302,
      0.3379703196437786,
      0.33694204607256256,
      0.3359230255269111,
      0.3349131705998003,
      0.3339123946686918,
      0.3329206119830818,
      0.33193773770317564,
      0.3309636878518653,
      0.32999837934554355,
      0.3290417300399271,
      0.3280936585748602,
      0.3271540844377858,
      0.32622292801622693,
      0.3253001103607699,
      0.3243855533691419,
      0.32347917980744534,
      0.32258091327016414,
      0.3216906780788545,
      0.32080839923385823,
      0.31993400260948524,
      0.3190674147697843,
      0.3182085630666042,
      0.3173573756250636,
      0.3165137812677547,
      0.31567770949167373,
      0.31484909051089016,
      0.3140278552502483,
      0.31321393528997776,
      0.31240726296533694,
      0.3116077713537521,
      0.31081539400947816,
      0.310030065183467,
      0.30925171984131317,
      0.3084802936325704,
      0.30771572283676746,
      0.30695794434933427,
      0.3062068957075628,
      0.3054625149785816,
      0.30472474083952655,
      0.3039935126724613,
      0.30326877048318274,
      0.3025504547584597,
      0.3018385066171864,
      0.30113286465728206,
      0.30043343788898574,
      0.2997401252797336,
      0.29905283943411726,
      0.2983715029605342,
      0.29769604579224146,
      0.29702640333722713,
      0.29636251506773503,
      0.2957043234042881,
      0.29505177327232246,
      0.29440481142592373,
      0.2937633860578395,
      0.29312744649101635,
      0.2924969430778203,
      0.29187182694983244,
      0.29125205001205423,
      0.2906375647234497,
      0.2900283241468475,
      0.2894242818220176,
      0.288825391958909,
      0.28823160918754986,
      0.28764288864036036,
      0.2870591857812986,
      0.28648045652884613,
      0.2859066572786407,
      0.2853377447622401,
      0.28477367617418287,
      0.28421440917324353,
      0.28365990178347633,
      0.2831101123602217,
      0.2825649996966473,
      0.28202452289039065,
      0.2814886414527089,
      0.2809573153810024,
      0.2804305049147021,
      0.2799081706862654,
      0.2793902737210868,
      0.2788767753238209,
      0.27836763722037994,
      0.27786282149761626,
      0.277362290620448,
      0.27686600731029226,
      0.27637393466637894,
      0.27588603610986195,
      0.2754022753925822,
      0.2749226166199721,
      0.2744470242620713,
      0.273975462962361,
      0.2735078977670639,
      0.2730442940883095,
      0.27258461761805186,
      0.2721288343953994,
      0.2716769106587395,
      0.2712288130294801,
      0.2707845084677997,
      0.27034396424275997,
      0.2699071478393226,
      0.2694740270191104,
      0.26904456995815207,
      0.26861874499194505,
      0.2681965208061427,
      0.2677778663866523,
      0.26736275092003653,
      0.26695114391082103,
      0.2665430151090118,
      0.2661383345528391,
      0.26573707259995527,
      0.2653391998324417,
      0.2649446870897838,
      0.26455350546465073,
      0.2641656262611759,
      0.26378102117038543,
      0.2633996620906745,
      0.26302152106352167,
      0.26264656485529503,
      0.26227475506254466,
      0.2619060561636457,
      0.2615404354760482,
      0.26117786238746454,
      0.26081830782355303,
      0.26046174386147325
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182960959782942,
      10.9937641663881,
      10.79463095332574,
      10.58733604538918,
      10.373660298660196,
      10.155412223451817,
      9.934200278831288,
      9.711500315707418,
      9.48870441286048,
      9.267121784999595,
      9.047950639769358,
      8.832232923049883,
      8.620826285393967,
      8.414389705140273,
      8.213382009401132,
      8.018067521039612,
      7.82852988341751,
      7.644691371167192,
      7.4663402859243755,
      7.293161148160048,
      7.124759460067044,
      6.960684104915744,
      6.800449469397408,
      6.643555402069785,
      6.489504389725215,
      6.3378157800923285,
      6.18803475179002,
      6.039744482772358,
      5.892579943725021,
      5.746224175422557,
      5.600411099851002,
      5.4549389602263645,
      5.309679318177336,
      5.164575118529839,
      5.019619878219832,
      4.874854149453952,
      4.730386208029613,
      4.58639334946281,
      4.443116772660885,
      4.300854678358268,
      4.159946709369585,
      4.020763895258723,
      3.883706876311276,
      3.749194530589608,
      3.6176523829908933,
      3.4895026884933675,
      3.365149894564884,
      3.2449717766823944,
      3.1293112438800286,
      3.018467064235289,
      2.9126865785232736,
      2.812163715643653,
      2.7170427299217024,
      2.627417669821583,
      2.543334291733977,
      2.464793176515911,
      2.391745297942309,
      2.3240845335249207,
      2.2616727208311986,
      2.204353327091192,
      2.151936626339494,
      2.104169268245629,
      2.0607123842885486,
      2.0211322487831933,
      1.9849718657978737,
      1.9517681811553318,
      1.9210558676080869,
      1.892395282464987,
      1.8654322203558333,
      1.8398985724265147,
      1.815582316388354,
      1.792319067744817,
      1.769980871825833,
      1.7484629358011596,
      1.7276828755722677,
      1.7075756644632123,
      1.6880891179441893,
      1.6691792830071936,
      1.650807411209761,
      1.6329392265041165,
      1.6155449719889547,
      1.5985991796027175,
      1.5820787724607108,
      1.5659636029591335,
      1.5502359087857056,
      1.5348789204678304,
      1.519876790793951,
      1.5052145413760323,
      1.4908780113360964,
      1.4768538075581548,
      1.463129258200664,
      1.4496923687925798,
      1.436531780562524,
      1.4236368112404072,
      1.4109976397477875,
      1.3986049765775457,
      1.3864499454253,
      1.3745240670312804,
      1.362819241996407,
      1.3513277345592845,
      1.3400421553414195,
      1.3289554453805013,
      1.318060860150334,
      1.3073519541888723,
      1.2968225663373851,
      1.286466805025044,
      1.276279035315481,
      1.2662538650503452,
      1.2563861541211252,
      1.246671094028429,
      1.2371041097063122,
      1.2276807902711855,
      1.2183969530445398,
      1.2092488220108901,
      1.2002327742052272,
      1.1913452683904764,
      1.1825828511851053,
      1.1739421604750688,
      1.1654199280316015,
      1.1570129808630913,
      1.1487182413870742,
      1.140532726606017,
      1.1324535473342692,
      1.1244779059774892,
      1.1166030951276649,
      1.1088264951154119,
      1.1011455717114114,
      1.0935576938695317,
      1.0860601636455802,
      1.0786504178053995,
      1.071326019253242,
      1.0640846450090513,
      1.056924036851622,
      1.0498420024054074,
      1.0428364497100167,
      1.0359053785307417,
      1.0290468727784485,
      1.0222590941924752,
      1.0155402764262307,
      1.0088887196396668,
      1.0023027864161587,
      0.9957808978886834,
      0.9893215232639591,
      0.9829231576401039,
      0.9765843432370613,
      0.9703036750697235,
      0.9640797974002996,
      0.9579114005340624,
      0.9517972180621562,
      0.9457362244646089,
      0.9397277910692151,
      0.9337713012909287,
      0.9278664192501518,
      0.9220129722152464,
      0.9162106358245322,
      0.9104589688317009,
      0.904757594606077,
      0.8991061919125077,
      0.8935043333521072,
      0.887951506749677,
      0.8824471356909832,
      0.8769905962624432,
      0.871581230285561,
      0.8662183560436918,
      0.8609012764762746,
      0.8556292858789203,
      0.8504016750250721,
      0.8452177351814022,
      0.8400767614359221,
      0.83497805494171,
      0.8299209249494782,
      0.8249046902798837,
      0.8199286801906515,
      0.814992235101211,
      0.8100947073312991,
      0.8052354614506713,
      0.8004138742431948,
      0.7956293348468143,
      0.7908812449195681,
      0.7861690184772372,
      0.7814923245201162,
      0.7768511141649802,
      0.772245280999425,
      0.767674908227221,
      0.7631401693436283,
      0.7586410852358797,
      0.7541775601275684,
      0.7497493245832614,
      0.7453556975486458,
      0.7409959312512294,
      0.7366693433575937,
      0.7323753049563105,
      0.7281132310402231,
      0.7238825732585382,
      0.7196828225493639,
      0.7155137605791227,
      0.7113753503258482,
      0.7072674725663296,
      0.7031899462591324,
      0.699142544077274,
      0.6951250043445584,
      0.6911370403512318,
      0.6871783475588866,
      0.6832486089699638,
      0.6793474996700497,
      0.6754746900222646,
      0.6716298481342421,
      0.6678126416565839,
      0.6640227393761532,
      0.6602598123049326,
      0.6565235343946885,
      0.6528135832117477,
      0.6491296404470895,
      0.6454713921873112,
      0.6418385471061971,
      0.6382310370362373,
      0.6346488987108556,
      0.6310920908643365,
      0.6275605137930363,
      0.6240540240537101,
      0.6205724458802345,
      0.6171155797860869,
      0.6136832091168067,
      0.610275105081682,
      0.60689103073818,
      0.6035311391093707,
      0.6001960581024899,
      0.5968865777380888,
      0.5936032584610447,
      0.5903464263362531,
      0.5871162372182418,
      0.5839127237530433,
      0.580735829914069,
      0.5775854358765771,
      0.5744613762101717,
      0.5713634536093468,
      0.5682914484598974,
      0.5652451262317345,
      0.5622242423651653,
      0.5592285460919468,
      0.5562577833044187,
      0.5533116984330183,
      0.5503900358459949,
      0.5474925410057623,
      0.5446190227053367,
      0.5417694575621056,
      0.5389437976380498,
      0.5361419389956801,
      0.5333637382149248,
      0.530609023805981,
      0.5278776049484516,
      0.5251692774568361,
      0.5224838285464803,
      0.5198210399047283,
      0.5171806902241746,
      0.514562556773552,
      0.5119664168003305,
      0.5093920481852818,
      0.5068392301905871,
      0.5043077437956157,
      0.5017973722324603,
      0.4993079011375898,
      0.4968391185249932,
      0.4943908149612924,
      0.4919627836139682,
      0.4895548201723447,
      0.48716672312540354,
      0.4847982933792025,
      0.4824493346380444,
      0.48011974021349524,
      0.47780958699687154,
      0.47551891250052086,
      0.4732476878532844,
      0.4709958370867788,
      0.4687632511902499,
      0.46654979822835524,
      0.4643553304481899,
      0.4621796892887933,
      0.46002270935539663,
      0.4578842209383698,
      0.4557640517732692,
      0.4536620283535043,
      0.45157797695236784,
      0.4495117243590124,
      0.4474630984067141,
      0.4454319281429533,
      0.4434180442274561,
      0.4414212787449827,
      0.43944146557811253,
      0.43747844050077106,
      0.43553204109577615,
      0.43360210675015237,
      0.4316884787535037,
      0.429791000220692,
      0.42790953913359997,
      0.4260441557841607,
      0.42419496689660197,
      0.42236200804632856,
      0.4205452579035613,
      0.4187446549593798,
      0.41696010947565065,
      0.41519151400719106,
      0.4134387554614582,
      0.4117017123516471,
      0.4099802543073427,
      0.40827424508558996,
      0.4065835446668662,
      0.4049080108756244,
      0.40324750060837705,
      0.40160187052044016,
      0.3999709776069024,
      0.3983546794504273,
      0.39675283454447435,
      0.3951653025149092,
      0.3935919444948463,
      0.3920326228153996,
      0.39048720118095354,
      0.38895554477022687,
      0.38743752023809946,
      0.3859329955417324,
      0.3844418402268258,
      0.3829639253355127,
      0.3814991232148725,
      0.38004730768442235,
      0.37860835395174314,
      0.3771821386325506,
      0.37576853969724044,
      0.37436748266325054,
      0.3729789601957122,
      0.37160294336044025,
      0.3702393768047771,
      0.36888818670239043,
      0.36754928623767014,
      0.3662225797686458,
      0.36490796565870015,
      0.3636053383718323,
      0.3623145899925004,
      0.3610356111496286,
      0.35976829167900115,
      0.3585125215101282,
      0.35726819086460376,
      0.35603519050488847,
      0.3548134119324153,
      0.35360274740877495,
      0.3524030900797168,
      0.35121433412632785,
      0.35003637481683597,
      0.3488691083063186,
      0.347712431896262,
      0.34656624394072366,
      0.34543044388207683,
      0.3443049322132872,
      0.3431896103915702,
      0.3420843810853879,
      0.3409891478900468,
      0.33990381542736137,
      0.3388282892695785,
      0.33776247604386833,
      0.3367062834377461,
      0.33565962000364663,
      0.3346223953221198,
      0.33359451983660804,
      0.3325759048559,
      0.33156646277509483,
      0.3305661069941986,
      0.32957475164854405,
      0.32859231179921716,
      0.3276187035240298,
      0.3266538436295655,
      0.3256976497342381,
      0.3247500403661971,
      0.323810934859945,
      0.3228802534588219,
      0.3219579172038347,
      0.3210438478882489,
      0.32013796814131495,
      0.3192402014253698,
      0.31835047193364346,
      0.3174687046550902,
      0.3165948253527975,
      0.3157287605061677,
      0.3148704373570833,
      0.3140197838307053,
      0.31317672864932333,
      0.31234120121947656,
      0.31151313166069955,
      0.3106924508620899,
      0.3098790902739005,
      0.3090729820821953,
      0.3082740592331492,
      0.30748225528139567,
      0.30669750444382565,
      0.30591974154060053,
      0.30514890211639695,
      0.3043849222834583,
      0.303627738884756,
      0.3028772893028924,
      0.3021334843845642,
      0.30139619759551123,
      0.30066531650012696,
      0.2999407567770279,
      0.2992224515674395,
      0.2985103375793173,
      0.29780435411729383,
      0.2971044425663932,
      0.2964105461246575,
      0.2957226093388879,
      0.2950405777848499,
      0.29436439794158925,
      0.2936940171963903,
      0.2930293835344021,
      0.2923704455995271,
      0.29171715273153287,
      0.29106945481482016,
      0.2904273022690964,
      0.2897906459650756,
      0.289159437332493,
      0.2885336282284277,
      0.2879131710357679,
      0.2872980184197039,
      0.2866881236069572,
      0.2860834404122528,
      0.2854839230503483,
      0.28488952602591283,
      0.28430020436757536,
      0.28371591345653474,
      0.2831366091617467,
      0.2825622476583446,
      0.2819927855402003,
      0.2814281798949937,
      0.2808683882032447,
      0.2803133682511323,
      0.279763078387862,
      0.27921747719957213,
      0.27867652369300994,
      0.27814017728964296,
      0.277608397643059,
      0.27708114492775215,
      0.2765583796590346,
      0.27604006264113445,
      0.27552615510719347,
      0.2750166186188414,
      0.27451141518327854,
      0.2740105069645096,
      0.27351385659323113,
      0.27302142702014964,
      0.272533181535861,
      0.2720490838170672,
      0.27156909779614813,
      0.2710931877861335,
      0.27062131844135046,
      0.2701534546047113,
      0.2696895615119956,
      0.269229604806431,
      0.2687735504022034,
      0.26832136441227633,
      0.267873013331505,
      0.2674284639282142,
      0.26698768335313167,
      0.2665506390713217,
      0.26611729878287704,
      0.26568763043298627,
      0.2652616022104106,
      0.2648391826483335,
      0.2644203406756323,
      0.264005045376907,
      0.26359326612195394,
      0.2631849725943692,
      0.2627801328756617,
      0.2623787068400234,
      0.26198065440384594,
      0.26158593882449555,
      0.2611945259166791,
      0.26080638348167196,
      0.2604214807696935,
      0.26003978813849854,
      0.25966127681755086,
      0.2592859186630257,
      0.25891368604210857,
      0.25854455188457814,
      0.2581784895583473,
      0.25781547281026324,
      0.2574554756698354,
      0.25709847248155276,
      0.25674443770907424
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182953021347071,
      10.993728136698678,
      10.794552780181903,
      10.587207438971387,
      10.37347911358005,
      10.155180535878358,
      9.933922741451479,
      9.711184067546526,
      9.488358167353999,
      9.266754940745205,
      9.047572702552658,
      8.83185301124716,
      8.620453034701471,
      8.414030884776476,
      8.213044248610741,
      8.017756261391126,
      7.828249107177127,
      7.644443879577394,
      7.4661280317353125,
      7.292985314392399,
      7.1246205002708916,
      6.960582182798779,
      6.8003846248656785,
      6.6435277031040565,
      6.489514064618878,
      6.337863488037705,
      6.188121805837461,
      6.039872508001945,
      5.892750964297568,
      5.746441158395979,
      5.600677664790379,
      5.455259124924673,
      5.3100574770080895,
      5.165016270826007,
      5.020130155228016,
      4.8754403193451985,
      4.731054873833891,
      4.5871508273521755,
      4.443968960339738,
      4.301806918756596,
      4.161004369573227,
      4.021931843485549,
      3.8849890121342687,
      3.7505937046577302,
      3.6191702028455865,
      3.491139416909344,
      3.3669052776470947,
      3.2468444706748163,
      3.131298789643737,
      3.0205656989268186,
      2.9148909245506878,
      2.8144679648618043,
      2.7194406370685003,
      2.6299025058426877,
      2.5458989448564693,
      2.467430271330386,
      2.3944455979670902,
      2.3268379806713853,
      2.2644694689969493,
      2.207183447359274,
      2.154788966893294,
      2.107030491322392,
      2.063567681905735,
      2.0239652329196387,
      1.987767392319265,
      1.9545123123777965,
      1.923736742578705,
      1.895003483178276,
      1.8679606262087325,
      1.8423419267322174,
      1.8179369157574476,
      1.7945809769993397,
      1.7721470279741112,
      1.7505310642468752,
      1.7296512419840038,
      1.709442641820235,
      1.689853292780695,
      1.670840006387647,
      1.652364671650634,
      1.6343935105741663,
      1.6168966262223488,
      1.5998484441892158,
      1.5832262876615804,
      1.5670095411513414,
      1.5511803428703343,
      1.5357223044470336,
      1.5206198789904861,
      1.50585832134788,
      1.491423648581079,
      1.4773026004923573,
      1.4634826007618904,
      1.4499517200955563,
      1.4366986405679503,
      1.4237127041929143,
      1.4109841019490867,
      1.398503538649933,
      1.3862621219542417,
      1.374251348164628,
      1.3624630875303656,
      1.3508895691086973,
      1.3395233652788354,
      1.3283573764495549,
      1.3173848158807397,
      1.3065991954965646,
      1.2959943107106633,
      1.285564227005554,
      1.275303266575956,
      1.2652059955768242,
      1.2552672293969656,
      1.2454821138449619,
      1.2358460380982295,
      1.2263545560204039,
      1.2170035178086611,
      1.2077891365834348,
      1.1987077434644868,
      1.189755754476375,
      1.180929676136247,
      1.1722261092335389,
      1.163641750994632,
      1.155173395721222,
      1.1468179346994745,
      1.1385723561245134,
      1.1304337432903935,
      1.122399272853579,
      1.114466212838968,
      1.1066319203108619,
      1.098893740254343,
      1.0912488927099795,
      1.08369469412999,
      1.0762285943868026,
      1.0688481401202758,
      1.0615509479421639,
      1.0543347401391392,
      1.0471973426770405,
      1.0401366769218985,
      1.033150751744106,
      1.026237656721707,
      1.0193955562433261,
      1.0126226841588204,
      1.0059173393887628,
      0.9992778816837854,
      0.992702727995408,
      0.9861903424948787,
      0.9797392145764188,
      0.9733478799141262,
      0.9670149265685816,
      0.9607389916664011,
      0.9545190641530703,
      0.9483544593887422,
      0.9422445638495949,
      0.9361891099761382,
      0.9301877795338068,
      0.9242401207215534,
      0.9183455792708567,
      0.9125035235195363,
      0.9067134099690927,
      0.9009747856352014,
      0.8952871168081028,
      0.8896498008647977,
      0.8840621840249022,
      0.8785235759436895,
      0.8730332606150725,
      0.8675905055453345,
      0.8621945689141983,
      0.8568447048951253,
      0.8515401682182461,
      0.8462802175300729,
      0.8410641180199495,
      0.8358911435754999,
      0.830760577915602,
      0.8256717159781402,
      0.8206238648051031,
      0.8156163440320034,
      0.8106484860358264,
      0.8057196364057728,
      0.8008291538751265,
      0.7959764102259647,
      0.791160848761569,
      0.7863822762811057,
      0.7816406068967929,
      0.7769357397759036,
      0.7722678184139493,
      0.7676369300883124,
      0.7630430234345915,
      0.7584859414784941,
      0.7539654471155504,
      0.7494809842004677,
      0.7450317170858394,
      0.7406168734292015,
      0.736235749546243,
      0.7318876981733222,
      0.7275721179706454,
      0.7232887075525118,
      0.7190373800142734,
      0.7148179725057622,
      0.7106302646551169,
      0.706473993575013,
      0.702348865001555,
      0.6982545621746662,
      0.6941907524093999,
      0.6901570924197836,
      0.6861532323859232,
      0.6821788188021125,
      0.6782334970560869,
      0.6743169129586792,
      0.6704287143235984,
      0.6665685518642696,
      0.662736079843996,
      0.6589309570164369,
      0.6551528466892185,
      0.6514014168787786,
      0.6476763407609637,
      0.6439774676145785,
      0.6403048267062456,
      0.6366583862933131,
      0.633038050332638,
      0.6294436747207045,
      0.6258750799323821,
      0.6223320602759214,
      0.618814391191068,
      0.6153218347397497,
      0.6118541885497053,
      0.6084116946457339,
      0.6049950411752142,
      0.6016050092476016,
      0.598242114085546,
      0.59490664485453,
      0.5915987269508893,
      0.5883183672195355,
      0.5850654872293082,
      0.5818399473040272,
      0.5786415645919643,
      0.5754701257894502,
      0.5723253966967844,
      0.5692071289675829,
      0.5661150650148998,
      0.5630489418529773,
      0.5600084935570945,
      0.5569934533672899,
      0.5540035547050091,
      0.5510385323789733,
      0.5480981877448126,
      0.5451824934361371,
      0.5422913963462388,
      0.5394247861463831,
      0.5365825121160112,
      0.5337643949932858,
      0.5309702357928439,
      0.5281998221034553,
      0.5254529325732692,
      0.5227293404881661,
      0.5200288160739308,
      0.5173511284200285,
      0.5146960463454187,
      0.5120633395318692,
      0.5094527791408264,
      0.5068641383479485,
      0.5042971926962505,
      0.501751720065579,
      0.49922750089447254,
      0.4967243182992016,
      0.49424195821821104,
      0.4917802093789259,
      0.4893388630867956,
      0.4869177134730705,
      0.4845165926601103,
      0.48213553252490454,
      0.4797745963551282,
      0.47743377088521455,
      0.47511298879430314,
      0.47281214495032625,
      0.47053110747909926,
      0.46826972629226254,
      0.4660278389752261,
      0.463805274921256,
      0.4616018582345319,
      0.45941741004848885,
      0.4572517500124915,
      0.4551046974368099,
      0.4529760718952376,
      0.45086569384819125,
      0.4487733850334029,
      0.44669896865193104,
      0.44464226970600684,
      0.4426031150066846,
      0.4405813331824574,
      0.438576754815842,
      0.43658921248000476,
      0.4346185406497596,
      0.43266457586902374,
      0.4307271893705522,
      0.42880645511483656,
      0.42690248480562526,
      0.4250153086032174,
      0.42314489918054404,
      0.4212911888221301,
      0.4194540817199882,
      0.41763346257867245,
      0.4158292026281945,
      0.4140411643131416,
      0.4122692042161068,
      0.41051317516770297,
      0.40877293464793774,
      0.4070483435090916,
      0.40533925926105185,
      0.40364553745770787,
      0.40196703258888644,
      0.40030359896464796,
      0.3986550912904254,
      0.39702136498554813,
      0.3954022763994296,
      0.3937976830530361,
      0.39220744385602985,
      0.3906314190715787,
      0.3890694703590348,
      0.3875214609714992,
      0.3859872555746084,
      0.38446672019481415,
      0.3829597224242906,
      0.38146613134864743,
      0.37998581750324845,
      0.37851865293395315,
      0.3770645110061816,
      0.37562326652183164,
      0.37419483424554567,
      0.3727792048054064,
      0.37137635097779353,
      0.36998621768999973,
      0.36860873037659747,
      0.3672438007188576,
      0.3658913311620314,
      0.3645512179211694,
      0.36322335312279463,
      0.3619076262937452,
      0.3606039254061155,
      0.3593121378129553,
      0.35803215087412793,
      0.35676385212302947,
      0.355507129533377,
      0.3542618717862718,
      0.3530279684615536,
      0.3518053101291021,
      0.35059378834032834,
      0.3493932957490516,
      0.3482037260820404,
      0.3470249740864059,
      0.3458569356322654,
      0.3446995076906202,
      0.3435525883647738,
      0.3424160767974696,
      0.34128987313108256,
      0.3401738786486298,
      0.3390679956884996,
      0.3379721275109024,
      0.336886178599207,
      0.33581005430279637,
      0.33474366101657604,
      0.33368690609582846,
      0.33263969786252096,
      0.3316019456142704,
      0.33057355963569457,
      0.3295544511743034,
      0.3285445323169857,
      0.32754371616159106,
      0.3265519167236367,
      0.32556904879494936,
      0.32459502805851287,
      0.3236297711422055,
      0.32267319563698604,
      0.3217252198121678,
      0.32078576285455274,
      0.3198547447151798,
      0.3189320861874353,
      0.3180177089619621,
      0.31711153542968534,
      0.31621348890651785,
      0.3153234933773849,
      0.31444147359820646,
      0.3135673550728244,
      0.3127010641591277,
      0.3118425279107204,
      0.3109916740985992,
      0.3101484312346544,
      0.3093127285721676,
      0.3084844959936929,
      0.30766366421892494,
      0.30685016464604065,
      0.3060439292077269,
      0.30524489067426025,
      0.30445298241136615,
      0.3036681259463897,
      0.30289019327413785,
      0.30211905830989333,
      0.3013546141383264,
      0.3005967676841897,
      0.299845440106798,
      0.29910057381612437,
      0.2983621149971254,
      0.29763000923062993,
      0.2969042019431575,
      0.2961846383974872,
      0.29547126405157975,
      0.29476402454849987,
      0.29406286573229884,
      0.2933677339696276,
      0.2926785758368163,
      0.29199533848162174,
      0.29131796947792443,
      0.2906464168343567,
      0.28998062908046135,
      0.28932055520195304,
      0.28866614458997153,
      0.28801734713172505,
      0.28737411318777334,
      0.28673639362204506,
      0.2861041396934116,
      0.285477303062785,
      0.2848558359417307,
      0.28423969091175577,
      0.28362882103749637,
      0.283023179739631,
      0.28242272102525046,
      0.28182739933839107,
      0.28123716945015753,
      0.28065198654081486,
      0.28007180628278133,
      0.2794965847221659,
      0.2789262782630166,
      0.2783608436907351,
      0.2778002383369876,
      0.2772444199281277,
      0.2766933464858148,
      0.27614697647046693,
      0.275605268633318,
      0.2750681821239013,
      0.27453567663701534,
      0.274007712141789,
      0.27348424898037155,
      0.2729652477262909,
      0.27245066936152423,
      0.27194047537851285,
      0.27143462757869313,
      0.2709330880246056,
      0.27043581913291675,
      0.2699427837175982,
      0.26945394485634455,
      0.26896926601239796,
      0.268488710991977,
      0.26801224404325824,
      0.26753982956216377,
      0.2670714323202548,
      0.2666070174522072,
      0.2661465503427733,
      0.26568999673060073,
      0.2652373226102085,
      0.26478849438867275,
      0.2643434787387603,
      0.26390224254192834,
      0.263464753073722,
      0.26303097789773056,
      0.26260088028419204,
      0.2621744160973209,
      0.26175154363346326,
      0.2613322246117515,
      0.2609164231687976,
      0.2605041052570395,
      0.2600952382021723,
      0.2596897905584346,
      0.25928773175232583,
      0.2588890318054327,
      0.2584936613779555,
      0.2581015916105977,
      0.2577127940574423,
      0.2573272406330385,
      0.2569449035097455,
      0.25656575524512787,
      0.25618976866874943,
      0.25581691689750075,
      0.25544717331348743,
      0.2550805114920524,
      0.2547169053467734,
      0.25435632897020316,
      0.253998756628097,
      0.25364416285568403,
      0.25329252244073536
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.18294525370791,
      10.993692884499328,
      10.794476315674139,
      10.58708171399263,
      10.373302138993495,
      10.154954507659227,
      9.93365247722684,
      9.710876865488014,
      9.488022867737007,
      9.266401022995122,
      9.04720971460383,
      8.831490082793543,
      8.62009879523583,
      8.413693086486848,
      8.212729500240675,
      8.01746998724119,
      7.827995277296349,
      7.6442252933784385,
      7.465946653308437,
      7.292842399468046,
      7.124516586118926,
      6.960517481630174,
      6.800359232578768,
      6.6435417476801675,
      6.489567834842228,
      6.337957666876741,
      6.188257729010198,
      6.0400518453597,
      5.892975765545324,
      5.746714401812797,
      5.601002959110788,
      5.455640440492355,
      5.310499115676666,
      5.165523101159655,
      5.020708141179393,
      4.8760960348289775,
      4.731794687745276,
      4.587980784418312,
      4.444894650827015,
      4.302833345733225,
      4.162136555897935,
      4.023174300842305,
      3.8863452674045824,
      3.752066227668204,
      3.6207602199592026,
      3.492846720382891,
      3.368729141601993,
      3.248783167247753,
      3.133349466173012,
      3.022724205855448,
      2.9171516513837035,
      2.8168249671376064,
      2.7218875747009537,
      2.632432592764904,
      2.548505049649409,
      2.470104701199606,
      2.3971788907828735,
      2.3296202390784932,
      2.2672910298965174,
      2.2100345945405566,
      2.157658819406213,
      2.1099060666016793,
      2.066434536286884,
      2.0268075196273454,
      1.990570458041372,
      1.957262766382808,
      1.9264232348542536,
      1.897617055739999,
      1.8704945439096194,
      1.8447912531671653,
      1.8202984233267034,
      1.7968511451540239,
      1.7743229554399662,
      1.7526108291317535,
      1.7316332004678914,
      1.7113255135742715,
      1.691635917640207,
      1.6725217144357756,
      1.653945445978066,
      1.6358738303887366,
      1.6182771572605852,
      1.6011295239896979,
      1.5844084978747135,
      1.5680935124462023,
      1.5521661965723184,
      1.5366103910131566,
      1.5214108626397262,
      1.506553110968376,
      1.4920233405047427,
      1.47780843137063,
      1.4638959099826732,
      1.4502739184244153,
      1.4369311845884116,
      1.4238570771326258,
      1.4110418000016227,
      1.3984760558472262,
      1.3861509392066462,
      1.374057924913146,
      1.362188855320933,
      1.3505359265516024,
      1.33909167446769,
      1.3278489602541186,
      1.3168009568009251,
      1.3059411342741603,
      1.2952632459485027,
      1.2847613152135275,
      1.2744296227269576,
      1.2642626935442562,
      1.2542552988492541,
      1.2444025393740854,
      1.234699769318059,
      1.225142508282534,
      1.2157266339793351,
      1.2064483461497943,
      1.1973039321034376,
      1.1882897669677526,
      1.1794023191426308,
      1.1706381534811245,
      1.1619939333565896,
      1.1534664212979666,
      1.1450524791444006,
      1.1367490667345608,
      1.128553240737631,
      1.1204621525352532,
      1.1124730462482821,
      1.1045832215834117,
      1.0967898500795825,
      1.0890901198235312,
      1.081481352818648,
      1.0739609545815945,
      1.0665264351634938,
      1.0591754240166518,
      1.0519056585153994,
      1.0447149753341975,
      1.0376013026537667,
      1.0305626528941316,
      1.0235971166413305,
      1.016702857263814,
      1.0098781060709985,
      1.0031211580698045,
      0.9964303680699231,
      0.9898041471933128,
      0.9832409533841245,
      0.9767392691373057,
      0.9702976253800509,
      0.9639149498185726,
      0.9575904702843101,
      0.951323609729211,
      0.9451140413384725,
      0.9389613236440618,
      0.9328648941114469,
      0.9268240983496757,
      0.9208382131562397,
      0.9149064651743996,
      0.9090281711061242,
      0.9032027745400764,
      0.8974296638252068,
      0.8917081687301301,
      0.8860375763400005,
      0.8804171439052006,
      0.8748461089264562,
      0.8693236969589858,
      0.8638491282241214,
      0.8584216223848178,
      0.8530404024652882,
      0.847704697723719,
      0.8424137459958515,
      0.8371667954671268,
      0.8319631058298947,
      0.8268019492379344,
      0.821682611063984,
      0.8166043902093976,
      0.8115665993775595,
      0.8065685652114828,
      0.8016096285028761,
      0.7966892625299224,
      0.791807332162295,
      0.786963697845619,
      0.7821582779241012,
      0.7773912041814953,
      0.7726625085048595,
      0.7679720909848895,
      0.7633197517461373,
      0.7587052153414022,
      0.754128095080146,
      0.7495876303008728,
      0.7450829417251266,
      0.740613237792845,
      0.7361777976848961,
      0.7317761302593518,
      0.7274080485095832,
      0.7230733481322693,
      0.7187717709535152,
      0.7145030191953174,
      0.710266766287617,
      0.7060626649179658,
      0.7018903536136512,
      0.6977494616972236,
      0.6936396132156911,
      0.6895604297018678,
      0.6855115324645787,
      0.6814925443378753,
      0.6775030906663783,
      0.673542800472314,
      0.6696113071714327,
      0.6657082489946896,
      0.6618332693454319,
      0.6579860171455929,
      0.6541661467656964,
      0.6503733708684644,
      0.646607653605894,
      0.6428689931849907,
      0.6391573127457748,
      0.6354724792675094,
      0.6318143180051586,
      0.6281826233941586,
      0.6245771674748104,
      0.6209977065479828,
      0.6174440133200894,
      0.613916302225396,
      0.6104152435453521,
      0.6069416304246943,
      0.6034960002492651,
      0.6000786545492667,
      0.5966897235086445,
      0.593329213839326,
      0.5899970435529744,
      0.5866930666386007,
      0.5834170922264215,
      0.580168897687686,
      0.5769482387652084,
      0.5737548565124958,
      0.5705884824883188,
      0.5674488427325706,
      0.5643356602570319,
      0.5612486571779406,
      0.5581875559646173,
      0.5551520805708939,
      0.5521419909209432,
      0.5491572234410516,
      0.5461977381133301,
      0.5432634314190685,
      0.5403541547799688,
      0.5374697277200536,
      0.5346099476520471,
      0.5317745969570322,
      0.528963448169496,
      0.5261762673866335,
      0.5234128171092819,
      0.5206728583460386,
      0.517956151962386,
      0.5152624595089604,
      0.51259154404001,
      0.5099431705190626,
      0.5073171062194431,
      0.5047131209440902,
      0.5021309871411672,
      0.4995704801718085,
      0.49703137814444953,
      0.4945134620037932,
      0.4920165156959391,
      0.48954032600370384,
      0.4870847794167537,
      0.4846499505025908,
      0.48223586969444787,
      0.4798424981600057,
      0.4774697483653477,
      0.4751174985364905,
      0.47278560317966034,
      0.4704739004589921,
      0.4681822177298599,
      0.46591037519542167,
      0.4636581887931923,
      0.46142547201672196,
      0.4592120373399665,
      0.45701769707159584,
      0.4548422642778867,
      0.4526855532695852,
      0.45054737967914543,
      0.4484275608672635,
      0.4463259160238614,
      0.4442422662185551,
      0.4421764346553331,
      0.44012824649651405,
      0.4380975289933031,
      0.4360841114400882,
      0.43408782520679434,
      0.43210868743614944,
      0.43014683572359746,
      0.42820231925029717,
      0.42627512206565915,
      0.42436518258055006,
      0.42247240722110496,
      0.4205966803274475,
      0.4187378709668584,
      0.41689583798411717,
      0.41507043363725415,
      0.41326150585722227,
      0.4114689001315539,
      0.4096924607389936,
      0.40793203177234344,
      0.4061874575456968,
      0.40445858658534767,
      0.4027452754814233,
      0.4010473803973361,
      0.3993647561581634,
      0.39769725705959813,
      0.39604473762052855,
      0.394407053002212,
      0.3927840592230418,
      0.39117561347472063,
      0.38958157415967726,
      0.38800180103160187,
      0.3864361551595804,
      0.38488449917376044,
      0.383346697183434,
      0.38182261484980834,
      0.38031211920750974,
      0.37881507884444615,
      0.377331363652112,
      0.3758608450106668,
      0.37440341082871215,
      0.3729590329125493,
      0.3715276953560621,
      0.37010935013460305,
      0.36870392666414464,
      0.3673113386018806,
      0.36593148895978694,
      0.3645642732940581,
      0.36320958243339935,
      0.36186730404287,
      0.36053732394525195,
      0.35921952723015865,
      0.35791379854452704,
      0.35662002263377685,
      0.3553380848308582,
      0.3540678711126667,
      0.35280926828470033,
      0.3515621641413438,
      0.35032644750075526,
      0.34910200824205023,
      0.34788873737004783,
      0.34668652703179964,
      0.3454952703828072,
      0.34431486176110543,
      0.3431451966858291,
      0.3419861716807174,
      0.3408376843798611,
      0.33969963348316,
      0.33857191881651094,
      0.3374544413691225,
      0.3363471030795428,
      0.335249806954593,
      0.33416245702577485,
      0.33308495833349727,
      0.3320172169140394,
      0.33095913985278136,
      0.32991063507255136,
      0.3288716115569149,
      0.3278419793600756,
      0.32682164936516583,
      0.32581053331151205,
      0.32480854401540254,
      0.32381559504645113,
      0.32283160094014923,
      0.32185647718421234,
      0.3208901401439774,
      0.3199325070027987,
      0.3189834957173407,
      0.3180430251911627,
      0.31711101519665363,
      0.31618738629926857,
      0.3152720597712778,
      0.3143649578000083,
      0.3134660033169726,
      0.31257512004544374,
      0.31169223256283657,
      0.31081726612397975,
      0.3099501467660958,
      0.3090908012886083,
      0.30823915723540474,
      0.3073951428154741,
      0.3065586870800207,
      0.30572971968186646,
      0.3049081600577776,
      0.30409387689434203,
      0.30328673638836423,
      0.30248662515694685,
      0.3016934446566168,
      0.30090710728708603,
      0.30012753350194493,
      0.2993546535902152,
      0.2985884163559717,
      0.29782877232911714,
      0.29707566973425903,
      0.2963290552566835,
      0.29558887461126776,
      0.29485507300552544,
      0.2941275954987897,
      0.2934063869783667,
      0.29269139251690107,
      0.2919825574625299,
      0.29127982730054075,
      0.2905831480755477,
      0.28989246620409426,
      0.2892077285175594,
      0.2885288823319089,
      0.2878558753023117,
      0.2871886557115208,
      0.2865271722639264,
      0.2858713740463512,
      0.2852212106680988,
      0.28457663221175494,
      0.28393758928734014,
      0.28330403285893735,
      0.2826759145180729,
      0.2820531861351975,
      0.28143580012326536,
      0.2808237092570773,
      0.2802168668378813,
      0.279615226503158,
      0.2790187424063625,
      0.27842736910568844,
      0.2778410616070208,
      0.27725977531913826,
      0.27668346609913336,
      0.27611209003230874,
      0.2755456037725126,
      0.274983964413435,
      0.2744271293742999,
      0.2738750566173687,
      0.27332770435811954,
      0.27278503114542596,
      0.27224699599362556,
      0.2717135582234069,
      0.2711846775454765,
      0.2706603140818409,
      0.27014042833762153,
      0.26962498117417366,
      0.2691139338087829,
      0.26860724777738,
      0.2681048850127402,
      0.2676068077713337,
      0.2671129786886955,
      0.2666233606575454,
      0.26613791699972733,
      0.26565661129599166,
      0.26517940744542956,
      0.26470626980255246,
      0.26423716302318706,
      0.26377205197501286,
      0.2633109019670005,
      0.26285367854748415,
      0.26240033918840605,
      0.2619508366012608,
      0.2615051277870302,
      0.2610631730002668,
      0.2606249348788207,
      0.2601903777859693,
      0.2597594675917045,
      0.2593321711156578,
      0.2589084559300781,
      0.2584882905598266,
      0.258071643909728,
      0.25765848545680087,
      0.2572487849862738,
      0.256842512761405,
      0.25643963944056397,
      0.2560401359829526,
      0.2556439735297943,
      0.25525112355363283,
      0.2548615578048574,
      0.2544752482976993,
      0.25409216732228856,
      0.2537122874070046,
      0.25333558130698597,
      0.25296202204424684,
      0.2525915829235767,
      0.25222423735813754,
      0.25185995909023295,
      0.25149872209487767,
      0.251140500586152,
      0.2507852689098786,
      0.25043300184366996,
      0.25008367417342797
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.18293755452985,
      10.993657911271772,
      10.794400416811344,
      10.586956943395107,
      10.373126497023915,
      10.154730191404306,
      9.933384399887277,
      9.710572434604222,
      9.487691016630885,
      9.266051296476801,
      9.04685170302873,
      8.831132935922435,
      8.619751148418828,
      8.41336268938326,
      8.212422954993633,
      8.017192710814136,
      7.827751234980256,
      7.644017284271678,
      7.465776643685598,
      7.292711721052811,
      7.124425858053703,
      6.9604669296899795,
      6.800348970068325,
      6.643571920733323,
      6.489638749929712,
      6.3380699166855345,
      6.188412570487535,
      6.040250970912786,
      5.893221236117413,
      5.747009193607068,
      5.601350662740487,
      5.456044986222329,
      5.310964738024238,
      5.1660543139168995,
      5.02131055712907,
      4.876776131680097,
      4.7325587186408296,
      4.5888346597256815,
      4.445843811309138,
      4.303882633932942,
      4.163290840189685,
      4.024437939293702,
      3.8877216300323183,
      3.753557628086216,
      3.622367732724728,
      3.494569999122193,
      3.37056708975071,
      3.250733867813568,
      3.1354099009555214,
      3.024889833421506,
      2.919416926248931,
      2.8191840216315094,
      2.724334108650941,
      2.634959875678496,
      2.5511060203343816,
      2.4727717579207633,
      2.399902675697642,
      2.332390981166316,
      2.270099215389236,
      2.2128706709305375,
      2.1605120892373653,
      2.1127637664086762,
      2.06928187179914,
      2.029629073630965,
      1.9933519170437237,
      1.9599911665747867,
      1.9290876147109837,
      1.9002087995626986,
      1.8730072072397324,
      1.8472202000380398,
      1.8226406262722603,
      1.7991033192239574,
      1.7764823863294819,
      1.754675755801372,
      1.7336022198019803,
      1.7131975334926537,
      1.6934098819599526,
      1.674197008772674,
      1.6555221043585155,
      1.6373523685992581,
      1.619658462281896,
      1.6024142268657735,
      1.5855971284324872,
      1.5691869214017728,
      1.5531649011707807,
      1.5375146167930158,
      1.5222211647238126,
      1.507270302296373,
      1.4926484331258894,
      1.4783425878134566,
      1.4643404030269607,
      1.4506300989115728,
      1.4372004548638866,
      1.424040869997173,
      1.4111415635025555,
      1.3984932404249986,
      1.3860869861012088,
      1.3739142574299872,
      1.3619668713004938,
      1.3502369931844802,
      1.338717124411175,
      1.3274000894825415,
      1.3162790221309977,
      1.3053473521189616,
      1.2945987922271227,
      1.2840273251760779,
      1.273627191184117,
      1.2633928754334118,
      1.2533191056444948,
      1.243400938032231,
      1.2336336927512277,
      1.2240128763835239,
      1.2145343831426887,
      1.2051943766496078,
      1.1959891035961683,
      1.1869149010909579,
      1.17796820147188,
      1.1691455357013965,
      1.1604435353355493,
      1.1518589327496882,
      1.1433885609273466,
      1.1350293529479654,
      1.1267783397799576,
      1.1186326483910687,
      1.1105894996425834,
      1.1026460461637497,
      1.094799358848957,
      1.0870466112686705,
      1.0793850763548338,
      1.0718121584481681,
      1.0643253863967785,
      1.0569224026263555,
      1.0496009535274875,
      1.0423588811145768,
      1.03519411565666,
      1.028104669540585,
      1.0210886312022611,
      1.014144160759405,
      1.0072694849613122,
      1.0004628930885096,
      0.9937227336543147,
      0.987047410897284,
      0.9804353753726699,
      0.9738854381672436,
      0.9673967206981763,
      0.9609686264217815,
      0.9546007499395085,
      0.9482925384961353,
      0.9420433277156728,
      0.9358523694799867,
      0.9297188536492573,
      0.923641925601779,
      0.9176207002926826,
      0.9116543681389495,
      0.9057422858964879,
      0.8998837819063502,
      0.8940781323064939,
      0.8883245762770168,
      0.8826223274809477,
      0.8769705837641779,
      0.8713685341201146,
      0.8658153649731157,
      0.8603102645763556,
      0.8548524266065187,
      0.8494410526097325,
      0.8440753543763765,
      0.8387545552359018,
      0.8334778913462156,
      0.8282446123731282,
      0.8230539820733551,
      0.817905278886865,
      0.8127977956781639,
      0.8077308403075036,
      0.8027038970650476,
      0.7977168151670657,
      0.7927694190416924,
      0.7878616122896066,
      0.7829935031324623,
      0.7781650916887627,
      0.7733762478142991,
      0.7686267423996135,
      0.7639162717411141,
      0.7592444766767203,
      0.7546108418883972,
      0.7500144676782252,
      0.7454544559883782,
      0.7409300511065332,
      0.7364408691751541,
      0.7319866542396405,
      0.7275671017715425,
      0.7231818717844591,
      0.7188305990820406,
      0.7145129005979088,
      0.710228381679971,
      0.7059766405744384,
      0.7017572717332718,
      0.6975698686677603,
      0.6934140260264043,
      0.6892893407769883,
      0.6851954137689742,
      0.681131850307921,
      0.6770982606607794,
      0.6730942608496947,
      0.6691194726446964,
      0.6651735239005792,
      0.6612560485778511,
      0.657366686881996,
      0.6535052115519123,
      0.6496716218376122,
      0.6458658795045061,
      0.6420878772689634,
      0.6383374561499775,
      0.6346144188004604,
      0.6309185398757732,
      0.6272495739291286,
      0.6236072613918088,
      0.6199916670180231,
      0.6164033356338835,
      0.6128430851132599,
      0.6093115410434413,
      0.6058090647690532,
      0.6023358259760795,
      0.5988918563383481,
      0.5954770878532931,
      0.5920913811257262,
      0.5887345465117637,
      0.5854063585954592,
      0.582106567301119,
      0.5788349062101578,
      0.5755910980334961,
      0.5723748588084923,
      0.56918590116539,
      0.5660239363177183,
      0.5628886757758848,
      0.5597798325099087,
      0.556697121667352,
      0.5536403913406477,
      0.5506096165592362,
      0.5476047150479241,
      0.5446255505485122,
      0.5416719486514664,
      0.5387437086214385,
      0.5358406111270962,
      0.5329624246494001,
      0.5301089098506541,
      0.527279822709221,
      0.5244749169378647,
      0.5216939453382771,
      0.5189366611658375,
      0.5162028190504561,
      0.5134921754270144,
      0.5108044889085126,
      0.5081395209865789,
      0.5054970355847338,
      0.5028767996272158,
      0.50027858304719,
      0.4977021587187262,
      0.4951473026171936,
      0.4926137935736458,
      0.4901015344608064,
      0.4876106012309634,
      0.4851410141690434,
      0.4826927251067192,
      0.48026563749028583,
      0.477859620957173,
      0.47547452199804285,
      0.4731101710196979,
      0.4707663877426605,
      0.46844298507755877,
      0.46613977180023203,
      0.4638565544923656,
      0.46159313883097236,
      0.4593493306382716,
      0.4571249364669497,
      0.4549197640792645,
      0.4527336227958474,
      0.4505663237164305,
      0.448417680041751,
      0.44628750701475417,
      0.4441756219899434,
      0.44208184432595793,
      0.4400059956352901,
      0.4379478997056582,
      0.43590743448071156,
      0.43388470078207475,
      0.43187980002472387,
      0.4298927511106973,
      0.4279235150248232,
      0.42597201219645336,
      0.42403813457325584,
      0.42212175471544944,
      0.42022273171202273,
      0.4183409159510503,
      0.41647615212404887,
      0.4146282814679218,
      0.4127971433029469,
      0.4109825761524165,
      0.4091844187532247,
      0.4074025101726465,
      0.4056366904054298,
      0.40388680081746176,
      0.40215268415763944,
      0.4004341858934209,
      0.3987311604891252,
      0.3970434652455728,
      0.3953709560552136,
      0.39371348841529363,
      0.39207091782486325,
      0.39044310035662716,
      0.3888298930495641,
      0.38723115394555546,
      0.3856467423811213,
      0.3840765190514647,
      0.382520346025969,
      0.3809780867653158,
      0.37944960626829616,
      0.3779347709924665,
      0.3764334487771353,
      0.37494550894695955,
      0.37347087125606804,
      0.3720095262422339,
      0.37056144139314273,
      0.3691265562233364,
      0.367704790743859,
      0.3662960514681582,
      0.36490023548357026,
      0.36351723362123756,
      0.3621469327110905,
      0.36078921710729717,
      0.35944396982137794,
      0.3581110730629592,
      0.3567904090554912,
      0.3554818603922512,
      0.35418531028985517,
      0.3529006427656826,
      0.35162774274038694,
      0.350366496090812,
      0.3491167898066878,
      0.34787851194575325,
      0.34665155176964474,
      0.34543579967865534,
      0.3442311472001976,
      0.3430374870051369,
      0.34185471292696207,
      0.3406827199582353,
      0.3395214041225354,
      0.3383706626288991,
      0.33723039385090525,
      0.3361004971560666,
      0.33498087291590667,
      0.3338714226836333,
      0.3327720490313586,
      0.33168265558083904,
      0.33060314696041126,
      0.3295334287775344,
      0.32847340761879074,
      0.327422991129051,
      0.3263820879916456,
      0.3253506076819969,
      0.3243284606690176,
      0.3233155583896058,
      0.3223118131624372,
      0.32131713829473163,
      0.32033144792474283,
      0.31935465710803806,
      0.3183866818552706,
      0.3174274390329649,
      0.31647684622810046,
      0.3155348218946274,
      0.3146012854770883,
      0.31367615718051695,
      0.3127593579969959,
      0.3118508097981703,
      0.3109504351501059,
      0.3100581574101215,
      0.3091739008001634,
      0.30829759030486786,
      0.3074291516351775,
      0.30656851127044804,
      0.3057155689684917,
      0.30487017887022394,
      0.3040322089819781,
      0.3032015464227546,
      0.30237809233190993,
      0.30156175804985724,
      0.3007524625192052,
      0.29995013038793517,
      0.29915469151933927,
      0.29836609189386687,
      0.2975842849684195,
      0.2968092204552237,
      0.2960408455402013,
      0.29527910582400707,
      0.29452394587483044,
      0.2937753095987447,
      0.2930331406581408,
      0.2922973827490248,
      0.2915679794451735,
      0.29084487471603826,
      0.2901280128475705,
      0.2894173384785968,
      0.28871279668873207,
      0.2880143328968711,
      0.28732189307870626,
      0.28663542362978056,
      0.28595487143309833,
      0.2852801839921853,
      0.28461130917133015,
      0.283948195293534,
      0.283290791188652,
      0.2826390462558505,
      0.2819929102228495,
      0.28135233331291953,
      0.28071726624814064,
      0.2800876602417134,
      0.27946346687685525,
      0.2788446383435785,
      0.2782311271556847,
      0.27762288625025044,
      0.27701986912666965,
      0.27642202972041646,
      0.2758293223419765,
      0.2752417016548019,
      0.27465912276910265,
      0.2740815413242727,
      0.2735089132931746,
      0.2729411950292307,
      0.272378343276567,
      0.2718203153212642,
      0.2712670688137685,
      0.27071856175785913,
      0.27017475243705696,
      0.2696355996219356,
      0.269101062448026,
      0.2685711004097317,
      0.26804567338064794,
      0.2675247416733306,
      0.2670082659097587,
      0.26649620709630945,
      0.26598852654742405,
      0.26548518600098014,
      0.26498614753158684,
      0.26449137356691793,
      0.2640008268286481,
      0.26351447038899184,
      0.2630322676775023,
      0.262554179017519,
      0.262080155093911,
      0.26161014858005754,
      0.26114411607470056,
      0.26068201698959226,
      0.2602238129054035,
      0.2597694670376506,
      0.2593189438866912,
      0.25887220881608025,
      0.25842922809223695,
      0.257989968672687,
      0.25755439813689757,
      0.25712248437763047,
      0.25669419575141156,
      0.2562695009379201,
      0.25584836905497443,
      0.2554307694825297,
      0.25501667201828687,
      0.254606046652914,
      0.25419886367723976,
      0.253795093789958,
      0.2533947078125115,
      0.2529976768116197,
      0.2526039721971582,
      0.25221356550302965,
      0.2518264285502866,
      0.2514425334838954,
      0.25106185282339494,
      0.25068435918417104,
      0.25031002539344493,
      0.2499388245813698,
      0.24957073009527775,
      0.24920571545270176,
      0.24884375452401974,
      0.24848482132200386,
      0.2481288901353385,
      0.24777593549766372,
      0.2474259321448574,
      0.2470788550110605
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.18292986074323,
      10.99362290986776,
      10.794324374229143,
      10.5868319444901,
      10.372950427487426,
      10.154505176820487,
      9.933115414697241,
      9.71026697392025,
      9.487358091501289,
      9.26570051531132,
      9.046492702201869,
      8.830774894285355,
      8.61940271635927,
      8.413031622276478,
      8.212115855441775,
      8.016914884086118,
      7.8275065527685275,
      7.643808564007675,
      7.465605864980846,
      7.292580220280815,
      7.124334269445822,
      6.9604154988783495,
      6.8003378263645775,
      6.64360122283923,
      6.489708811400434,
      6.338181310454677,
      6.188566530558962,
      6.04044918807312,
      5.893465763722914,
      5.747302989502669,
      5.601697288010818,
      5.456448328986472,
      5.311428975609321,
      5.166583834477426,
      5.021910827256825,
      4.877453524517583,
      4.733319379303521,
      4.589684388309929,
      4.446787937724537,
      4.304925891246189,
      4.164438004553776,
      4.02569328735091,
      3.88908845558714,
      3.755038176969971,
      3.6239630197387047,
      3.496279632793131,
      3.3723897708727733,
      3.2526675492333634,
      3.137451391969807,
      3.027034516488922,
      2.921659402951089,
      2.8215185703563583,
      2.7267545067949763,
      2.637459476720778,
      2.553677853358226,
      2.4754083558097224,
      2.402594778118472,
      2.33512892847058,
      2.272873711515149,
      2.2156722306280425,
      2.1633298821327136,
      2.1155850854541542,
      2.072091998084453,
      2.032412917779449,
      1.996095457874566,
      1.9626817521596693,
      1.9317145600137973,
      1.9027637266605615,
      1.8754838792305764,
      1.8496141945733704,
      1.824949007505116,
      1.8013229753621236,
      1.7786107776498925,
      1.756711266696173,
      1.7355437500675053,
      1.715044225418892,
      1.695161003214352,
      1.6758518984060498,
      1.657080776727104,
      1.6388153181280265,
      1.62102655275547,
      1.6036883841520788,
      1.5867779205066523,
      1.57027513042483,
      1.5541614672098734,
      1.538419931243787,
      1.5230356432515881,
      1.507994636798546,
      1.493283529621562,
      1.4788895158569964,
      1.4648003539074024,
      1.4510043510574535,
      1.437490346084669,
      1.4242477744571391,
      1.4112668746750048,
      1.3985383593918042,
      1.3860533092722997,
      1.3738031667074557,
      1.361779726812798,
      1.3499751276481102,
      1.3383818390938549,
      1.326992650572963,
      1.3158006589152131,
      1.3047992556690753,
      1.293982114530324,
      1.2833431789381164,
      1.2728766497801298,
      1.2625769733950305,
      1.2524388354966522,
      1.2424572485952496,
      1.2326274994755653,
      1.222945086405496,
      1.2134059137824567,
      1.204006104318929,
      1.1947418665175864,
      1.1856095010250898,
      1.1766054061240387,
      1.167726080477461,
      1.1589681246432875,
      1.1503282420077645,
      1.1418032380557237,
      1.1333900194350637,
      1.1250855922365746,
      1.1168870599249192,
      1.1087915621497473,
      1.100796089913069,
      1.092897661256815,
      1.0850934226044187,
      1.0773806642494972,
      1.0697568073725903,
      1.0622193923536032,
      1.0547660689446585,
      1.0473945874459993,
      1.0401027911455045,
      1.0328886093678558,
      1.0257500518512224,
      1.0186852031362497,
      1.0116922178888479,
      1.0047693167560363,
      0.9979147823030645,
      0.9911269557496388,
      0.9844045143963778,
      0.9777465040991722,
      0.9711522639740925,
      0.9646212771418505,
      0.9581528867477044,
      0.9517463313695134,
      0.9454007718117494,
      0.939115312352438,
      0.9328890176059457,
      0.9267209258520044,
      0.9206100599807977,
      0.9145554927406149,
      0.9085565028818697,
      0.9026123703959634,
      0.8967223272240652,
      0.8908855717252928,
      0.8851012795971614,
      0.8793686131576042,
      0.8736867285030897,
      0.8680547807653334,
      0.8624719286010383,
      0.8569373375212784,
      0.851450182427588,
      0.8460096493639362,
      0.8406149372549719,
      0.8352652589261682,
      0.829959841563642,
      0.824697927330345,
      0.8194787735835848,
      0.8143016531040064,
      0.8091660035825603,
      0.8040716435610709,
      0.7990183741179862,
      0.7940060460116852,
      0.7890347406723597,
      0.784104445662258,
      0.779215014897473,
      0.7743662010360941,
      0.7695576804740977,
      0.7647890729973963,
      0.7600599570573419,
      0.755369692898419,
      0.7507173172255911,
      0.7461020751270945,
      0.7415235707331995,
      0.7369814319391556,
      0.7324752598385368,
      0.7280046369760724,
      0.7235691336735285,
      0.7191683130830901,
      0.7148017348304532,
      0.7104689578439406,
      0.7061695422262326,
      0.7019030512684975,
      0.6976690525965559,
      0.693467118834675,
      0.6892968283246982,
      0.6851577657250607,
      0.6810495221366848,
      0.676971695469315,
      0.6729238905162334,
      0.6689057188656509,
      0.6649167990055236,
      0.6609567562928713,
      0.6570253990361864,
      0.6531227276603879,
      0.6492486805704735,
      0.6454031297778939,
      0.6415858974721083,
      0.6377967694163326,
      0.6340355047748094,
      0.6303018435463292,
      0.6265956201424023,
      0.6229171670052045,
      0.6192672188198365,
      0.6156465578568526,
      0.6120556591729801,
      0.6084947709586693,
      0.6049639776937011,
      0.6014632459546333,
      0.5979924574425817,
      0.5945514334797988,
      0.5911399529085053,
      0.5877577653567261,
      0.5844046000652171,
      0.5810801730255373,
      0.5777841917657484,
      0.5745163591478186,
      0.5712763759340218,
      0.5680639426663117,
      0.5648787609663153,
      0.561720534438588,
      0.5585889942059242,
      0.5554840508479032,
      0.5524056636271538,
      0.5493537233611033,
      0.5463280721529193,
      0.5433285180054181,
      0.5403548451098535,
      0.537406821675474,
      0.5344842053763922,
      0.5315867470447572,
      0.5287141937417295,
      0.5258662908862562,
      0.5230427837031376,
      0.520243418351821,
      0.5174679425623294,
      0.5147161061614784,
      0.5119876615941359,
      0.5092823640340353,
      0.5065999716194295,
      0.5039402455342559,
      0.5013029501399039,
      0.49868785272472954,
      0.4960947237877519,
      0.4935234265954921,
      0.4909740302488174,
      0.488446563164045,
      0.4859409805493511,
      0.48345718615844285,
      0.4809950477794365,
      0.4785544080632689,
      0.4761350926879057,
      0.4737369159622571,
      0.4713596848305644,
      0.46900320185083005,
      0.46666726705602357,
      0.46435167941667843,
      0.46205623808847984,
      0.4597807430165905,
      0.45752499556100057,
      0.45528879858473215,
      0.4530719568202521,
      0.45087427700618865,
      0.44869556810081446,
      0.4465356412928243,
      0.44439430993713647,
      0.442271389543028,
      0.4401666979669876,
      0.4380801398426248,
      0.4360118415637487,
      0.4339618885837979,
      0.4319302867206958,
      0.42991698592567845,
      0.4279218969297679,
      0.42594490337154955,
      0.42398586998209586,
      0.4220446490190464,
      0.4201210843867911,
      0.41821501452671983,
      0.41632627469760813,
      0.4144546986296319,
      0.4126001193536014,
      0.4107623700234551,
      0.40894128458169254,
      0.4071366981181592,
      0.40534844697379113,
      0.40357636894682825,
      0.4018203034995729,
      0.40008009166217806,
      0.3983555762431989,
      0.39664660194107576,
      0.39495302102924956,
      0.39327469204546966,
      0.3916114724685307,
      0.38996321902172404,
      0.38832978847806665,
      0.38671103800453643,
      0.3851068256319295,
      0.3835170103174038,
      0.381941452236216,
      0.380380013049704,
      0.37883255559030476,
      0.37729894410786186,
      0.3757790444163196,
      0.37427272363645175,
      0.3727799252630036,
      0.3713006427667011,
      0.3698348342538423,
      0.3683824318304854,
      0.36694334941218404,
      0.3655174884547801,
      0.3641047420101642,
      0.36270499740023704,
      0.3613181383592626,
      0.35994404637202604,
      0.35858260184926477,
      0.3572336846353221,
      0.3558971747155753,
      0.35457295251469306,
      0.35326089909326064,
      0.3519608963698614,
      0.35067282729387766,
      0.3493965758928214,
      0.34813202719457786,
      0.34687906743139313,
      0.3456375840431602,
      0.34440746560694213,
      0.3431886017946233,
      0.341980883536499,
      0.3407842029079483,
      0.339598453171629,
      0.3384235286950812,
      0.3372593250239301,
      0.33610573883046735,
      0.3349626679161745,
      0.3338300110259992,
      0.3327076681483982,
      0.33159554034774696,
      0.3304935295869499,
      0.3294015389973067,
      0.32831947273177037,
      0.3272472358971148,
      0.3261847345899882,
      0.32513187601221005,
      0.32408856825810645,
      0.323054720447764,
      0.3220302426464432,
      0.32101504574865297,
      0.3200090416440019,
      0.31901214316941795,
      0.3180242641659725,
      0.317045319169299,
      0.31607522373791985,
      0.31511389427569464,
      0.31416124805992124,
      0.31321720320833707,
      0.31228167866114886,
      0.3113545941397027,
      0.3104358702475493,
      0.3095254284210216,
      0.30862319092045537,
      0.3077290807730498,
      0.30684300349535526,
      0.3059648088459716,
      0.3050943559332392,
      0.3042315245097516,
      0.3033762096387906,
      0.30252831752369064,
      0.30168776262479474,
      0.30085446554442813,
      0.30002835129016037,
      0.2992093483938227,
      0.2983973924806776,
      0.29759243603993174,
      0.29679443109118303,
      0.29600332593705864,
      0.2952190663131373,
      0.2944415962349396,
      0.2936708587618822,
      0.2929067963248305,
      0.2921493509995058,
      0.2913984649694251,
      0.2906540804796883,
      0.2899161400324535,
      0.28918458636669053,
      0.2884593626162142,
      0.2877404124566258,
      0.28702767997348816,
      0.28632110973556224,
      0.2856206468184018,
      0.2849262367151365,
      0.2842378254136919,
      0.2835553594884454,
      0.2828787859390429,
      0.2822080522978381,
      0.2815431065991455,
      0.28088389737512787,
      0.2802303735900459,
      0.27958248472819763,
      0.278940180731093,
      0.2783034119740646,
      0.2776721293204364,
      0.27704628413932747,
      0.2764258282869174,
      0.2758107139490586,
      0.27520089390505736,
      0.27459632127152206,
      0.2739969496289131,
      0.27340273298443296,
      0.27281362586340596,
      0.2722295831095847,
      0.27165055996662857,
      0.2710765121223014,
      0.27050739577996513,
      0.2699431675025456,
      0.26938378422313636,
      0.2688292032312854,
      0.268279382249487,
      0.2677342794729519,
      0.26719385334380846,
      0.2666580628095898,
      0.26612686717609557,
      0.2656002261143023,
      0.2650780996554712,
      0.2645604481624981,
      0.2640472323653706,
      0.2635384133219458,
      0.2630339525194915,
      0.26253380896413775,
      0.26203793141050696,
      0.2615462698037987,
      0.2610587781865282,
      0.2605754136788156,
      0.2600961357752719,
      0.2596209056254345,
      0.2591496858548137,
      0.258682440047472,
      0.2582191327032389,
      0.2577597289942393,
      0.2573041946641721,
      0.2568524958658213,
      0.25640459927981546,
      0.25596047207017314,
      0.2555200816248666,
      0.2550833957555577,
      0.2546503825675926,
      0.25422101049670476,
      0.25379524839772555,
      0.2533730653293929,
      0.252954430645053,
      0.25253931383010053,
      0.2521276847595477,
      0.25171951363893386,
      0.25131477088297605,
      0.2509134271471803,
      0.2505154533478644,
      0.2501208206576451,
      0.24972950059068907,
      0.24934146484755293,
      0.24895668544044589,
      0.24857513451444874,
      0.24819678453798938,
      0.24782160825270746,
      0.2474495785606234,
      0.24708066867920203,
      0.24671485205557875,
      0.24635210233264845,
      0.24599239337932652,
      0.24563569930908732,
      0.24528199439729392,
      0.24493125327904824,
      0.24458345067774992,
      0.24423856164265492
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182922139083887,
      10.993587718421756,
      10.79424780613608,
      10.586705904397572,
      10.372772656850826,
      10.154277719865213,
      9.932843318966352,
      9.70995783547693,
      9.487021011774011,
      9.265345184363364,
      9.046128824642578,
      8.830411697591419,
      8.61904885735816,
      8.41269487822446,
      8.211802843226128,
      8.016630878768947,
      7.827255397496287,
      7.643593091502972,
      7.465428059373808,
      7.292441404955983,
      7.124235138975963,
      6.960356296178984,
      6.800318675374932,
      6.643622272491659,
      6.489770360891649,
      6.33828391241018,
      6.188711390691579,
      6.040637973365609,
      5.893700502541639,
      5.747586602763301,
      5.602033291388488,
      5.45684055728113,
      5.311881544135023,
      5.16710105628626,
      5.022498064690686,
      4.87811703563977,
      4.734065196322386,
      4.590518203479727,
      4.447714980366858,
      4.305950801588956,
      4.165565486974318,
      4.026927561364407,
      3.8904327688766918,
      3.7564947398369464,
      3.6255328399409232,
      3.4979623264067476,
      3.3741838977237886,
      3.254570903232561,
      3.1394606025213245,
      3.029144889980879,
      2.923865683623275,
      2.823815177771157,
      2.729135336957457,
      2.639918004090204,
      2.5562072305667782,
      2.478001229530956,
      2.4052420158672168,
      2.337821009072932,
      2.275601476102121,
      2.218426300522402,
      2.1660994566986913,
      2.118357661462314,
      2.074852980616482,
      2.035147386727898,
      1.9987896893909076,
      1.9653233679610786,
      1.9342930874365043,
      1.905270974447193,
      1.8779137946784348,
      1.851962526978137,
      1.8272129557959005,
      1.803499571179165,
      1.7806976325629538,
      1.7587069316336095,
      1.7374472517676594,
      1.7168547851276101,
      1.6968779696164698,
      1.677474671290243,
      1.6586094092686328,
      1.640250336439655,
      1.6223688398622047,
      1.604939093016158,
      1.5879378832337694,
      1.5713450563667881,
      1.5551423244022224,
      1.539312577952999,
      1.523840436218517,
      1.5087121409803417,
      1.4939145398671938,
      1.479435003714575,
      1.4652614238029933,
      1.451382204319842,
      1.4377862520947742,
      1.4244630447858992,
      1.4114028442056668,
      1.3985963763362483,
      1.3860347220543683,
      1.37370931358805,
      1.3616119280776755,
      1.349734679366006,
      1.338070008266872,
      1.3266106718579564,
      1.3153497320279208,
      1.3042805440591845,
      1.2933967442384169,
      1.2826922382759176,
      1.2721611894595655,
      1.2617980062752763,
      1.2515973331351915,
      1.241554140329321,
      1.2316636822618188,
      1.2219214465806603,
      1.212323343988408,
      1.2028654585111014,
      1.1935439619158852,
      1.1843551205465952,
      1.1752952994596981,
      1.1663609660933545,
      1.1575486918851965,
      1.1488551521332333,
      1.1402771255600674,
      1.1318114932583436,
      1.1234552372019866,
      1.1152054376405707,
      1.1070590565175127,
      1.0990129556088901,
      1.0910641522831408,
      1.0832098156592773,
      1.0754472524956988,
      1.0677738953730191,
      1.0601872917544224,
      1.0526850951015252,
      1.0452650566798092,
      1.0379250187737794,
      1.0306629078444465,
      1.023476729161549,
      1.016364561595641,
      1.0093245535425848,
      1.0023549187165126,
      0.9954541203823329,
      0.9886210679958631,
      0.9818550419611277,
      0.975155461197687,
      0.9685215722116515,
      0.9619525138461197,
      0.9554473528892757,
      0.9490051044704185,
      0.9426247485259784,
      0.9363052432370123,
      0.9300455345525689,
      0.9238445648244129,
      0.917701312923326,
      0.9116149593222916,
      0.9055847441664348,
      0.8996098613536788,
      0.8936894731143714,
      0.8878227210384652,
      0.8820087349039144,
      0.8762466394811339,
      0.8705355601461334,
      0.8648746269624349,
      0.8592629780071243,
      0.8536997618511348,
      0.8481841393046495,
      0.8427152847399744,
      0.8372923872026007,
      0.8319146511633391,
      0.826581296866202,
      0.8212915603265676,
      0.8160447932334535,
      0.8108407548215499,
      0.8056792347100886,
      0.8005600095982618,
      0.7954831158163651,
      0.7904485459049375,
      0.7854561510733772,
      0.7805056757414951,
      0.775596783958235,
      0.7707290800060079,
      0.7659021245663283,
      0.7611154469470498,
      0.756368322804177,
      0.751660005932577,
      0.7469900108084049,
      0.7423578441778327,
      0.7377630084787409,
      0.7332050051333601,
      0.728683337281322,
      0.7241975115036179,
      0.7197470394094437,
      0.7153314384289771,
      0.7109502329365882,
      0.7066029543590848,
      0.7022891417728885,
      0.6980083420505914,
      0.6937601100687651,
      0.6895440087995753,
      0.6853596091863013,
      0.6812064900582742,
      0.6770842381875244,
      0.6729924481322238,
      0.668930721969344,
      0.6648986694510703,
      0.6608960953156475,
      0.6569229921627656,
      0.6529792855074875,
      0.649064834504247,
      0.6451794486816088,
      0.641322901093671,
      0.6374949384613687,
      0.6336952886908876,
      0.629923959928727,
      0.6261814654732627,
      0.6224686087298968,
      0.6187860565729657,
      0.6151341924346486,
      0.6115131946271005,
      0.6079230935944381,
      0.6043638131626733,
      0.6008352013090832,
      0.5973370521987156,
      0.5938691222029682,
      0.5904311416295244,
      0.5870228231670465,
      0.5836438683181211,
      0.5802939717401285,
      0.5769728244994544,
      0.5736801164542781,
      0.5704155380023392,
      0.5671787810986021,
      0.5639695400293395,
      0.5607875618683503,
      0.5576327894410315,
      0.5545051612781791,
      0.5514045508144966,
      0.5483307856503021,
      0.5452836610229402,
      0.5422629498487658,
      0.5392684101575893,
      0.5362997901221304,
      0.5333568319965966,
      0.530439274748632,
      0.5275468561061817,
      0.5246793139751518,
      0.5218363873607043,
      0.519017817074722,
      0.5162233462329257,
      0.5134527208226749,
      0.5107056897086003,
      0.5079820048640626,
      0.5052814213982679,
      0.5026036975817314,
      0.4999485950496274,
      0.4973159156514961,
      0.49470567780241576,
      0.4921179368793187,
      0.48955266476760906,
      0.48700977475484714,
      0.48448913905896107,
      0.48199060122050413,
      0.4795139853858729,
      0.4770591024356638,
      0.47462575471102164,
      0.4722137393018503,
      0.4698228502397114,
      0.46745288023908627,
      0.4651036219678293,
      0.4627748687237759,
      0.4604664149277723,
      0.45817805668878403,
      0.4559095920620746,
      0.45366082112844164,
      0.45143154622599724,
      0.4492215719536404,
      0.4470307052263293,
      0.4448587553066445,
      0.44270553376102806,
      0.4405709316813775,
      0.4384550753962893,
      0.4363580539072904,
      0.43427987373386845,
      0.43222048340918007,
      0.43017979097399844,
      0.42815767623403167,
      0.42615399963036615,
      0.4241686085939922,
      0.42220134178758256,
      0.42025203249725446,
      0.4183205107022415,
      0.4164066047462248,
      0.4145101423871418,
      0.41263095158544194,
      0.4107688609322334,
      0.40892370012553503,
      0.40709530031893876,
      0.40528349421638166,
      0.4034881162699095,
      0.40170900265033677,
      0.3999459912962751,
      0.3981989219910915,
      0.3964676361875719,
      0.3947519772929472,
      0.39305179055021555,
      0.3913669256688225,
      0.38969724140454043,
      0.38804259708784156,
      0.3864028508452233,
      0.3847778607119469,
      0.383167484926902,
      0.3815715825051351,
      0.3799900133520595,
      0.37842263850486874,
      0.37686932029921777,
      0.3753299222829207,
      0.3738043124630945,
      0.3722924406726346,
      0.370794297946298,
      0.3693098387087047,
      0.36783899180554086,
      0.3663816681511792,
      0.36493776640054243,
      0.36350717702228197,
      0.3620897847113832,
      0.3606854706005297,
      0.3592941139474065,
      0.35791559266768236,
      0.35654978444658736,
      0.3551965670584812,
      0.35385581876118744,
      0.3525274185626079,
      0.3512112463611732,
      0.3499071828582828,
      0.34861511010815993,
      0.3473349111799497,
      0.3460664704327155,
      0.34480967323353723,
      0.34356440628797813,
      0.3423305575416102,
      0.3411080160332471,
      0.3398966720051699,
      0.33869641688905905,
      0.33750714324381226,
      0.33632874484851505,
      0.3351611166205364,
      0.3340041544854904,
      0.3328577556057278,
      0.33172181833202746,
      0.3305962420185398,
      0.32948092709452154,
      0.3283757750880675,
      0.32728068847407954,
      0.32619557086866974,
      0.32512032685713405,
      0.32405486205363804,
      0.32299908304899433,
      0.3219528974246414,
      0.32091621388372216,
      0.31988894183801475,
      0.3188709917474085,
      0.31786227500405007,
      0.31686270390814636,
      0.3158721916840932,
      0.31489065253774384,
      0.3139180015378685,
      0.3129541545765166,
      0.3119990283696055,
      0.31105254053611103,
      0.3101146096417595,
      0.309185155016168,
      0.30826409686488637,
      0.3073513068044496,
      0.30644662488155366,
      0.30554991575748375,
      0.30466106256485714,
      0.30377996213557856,
      0.3029065214617166,
      0.3020406547407522,
      0.3011822816174112,
      0.3003313260047523,
      0.29948771498424026,
      0.2986513780734049,
      0.2978222536491244,
      0.29700029468369404,
      0.29618545206364805,
      0.2953776728015246,
      0.2945769012071935,
      0.29378307985780155,
      0.29299615029350584,
      0.2922160534163096,
      0.29144272969509305,
      0.2906761196996461,
      0.28991616420188515,
      0.2891628041374504,
      0.28841598075824126,
      0.28767563583702793,
      0.2869417114786004,
      0.2862141502247403,
      0.2854928951477074,
      0.2847778898688418,
      0.2840690785153693,
      0.2833664057423031,
      0.2826698166923549,
      0.2819792569826665,
      0.28129467274401115,
      0.28061601064881847,
      0.2799432178644816,
      0.27927624202106854,
      0.2786150312311531,
      0.27795953414952546,
      0.2773096999453926,
      0.2766654782125555,
      0.27602681912301347,
      0.2753936731494136,
      0.2747659913358126,
      0.2741437251245582,
      0.27352682654107063,
      0.27291524804960876,
      0.2723089424485096,
      0.2717078629829343,
      0.2711119633189205,
      0.2705211976332549,
      0.26993552055244613,
      0.2693548870931969,
      0.26877925273132347,
      0.2682085732939648,
      0.267642805043949,
      0.26708190461263714,
      0.26652582909962846,
      0.2659745358556796,
      0.2654279828264558,
      0.264886128185555,
      0.2643489306174189,
      0.26381634916906754,
      0.26328834323054523,
      0.2627648724907557,
      0.26224588922498104,
      0.2617313388575249,
      0.2612211709328759,
      0.26071533886721376,
      0.2602137988376424,
      0.25971650933068463,
      0.25922343031752076,
      0.25873452304567196,
      0.2582497498221149,
      0.2577690737751317,
      0.2572924586444923,
      0.25681986880297014,
      0.256351269101514,
      0.25588662480575647,
      0.2554259016353945,
      0.2549690656525642,
      0.254516083214942,
      0.2540669210190182,
      0.25362154623354,
      0.25317992624008556,
      0.25274202868001194,
      0.25230782157823844,
      0.251877273252221,
      0.2514503522857593,
      0.2510270274906625,
      0.25060726803476857,
      0.25019104332938175,
      0.24977832307031944,
      0.249369077216092,
      0.2489632760436244,
      0.24856089003949075,
      0.2481618898683275,
      0.2477662465578684,
      0.2473739314184877,
      0.2469849159760741,
      0.24659917202041798,
      0.24621667159066035,
      0.2458373869109547,
      0.24546129045372558,
      0.24508835502961063,
      0.2447185536873152,
      0.2443518596273471,
      0.2439882463324272,
      0.24362768753347191,
      0.24327015720200038,
      0.24291562951776927,
      0.24256407891371137,
      0.2422154798925367,
      0.2418698073143867,
      0.24152703624037256
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.1829143806,
      10.99355229186414,
      10.79417060276744,
      10.586578627393699,
      10.37259288994185,
      10.154047419195965,
      9.93256761689939,
      9.709644439943238,
      9.486679124094653,
      9.264984591195486,
      9.045759312074797,
      8.830042553671852,
      8.618688682133472,
      8.412351482537545,
      8.211482868962824,
      8.016339618402178,
      7.826996711880166,
      7.643369826973607,
      7.46524220028285,
      7.29229425599359,
      7.124127417403189,
      6.960288240342465,
      6.800290399696812,
      6.643633911818559,
      6.489822195155899,
      6.338376469622351,
      6.188845842101224,
      6.040815961548558,
      5.893924028653205,
      5.747858547400558,
      5.60235711984613,
      5.457220046848938,
      5.3123207446832525,
      5.167604202469179,
      5.023070406900446,
      4.878764705090107,
      4.734794103060813,
      4.5913339235802875,
      4.448622634092561,
      4.306954930987669,
      4.166670641223406,
      4.028137908221449,
      3.8917515156293927,
      3.757924068768033,
      3.627073857143526,
      3.4996147506370243,
      3.375946238271301,
      3.2564407089016045,
      3.1414342080743554,
      3.031217712140881,
      2.9260325804500367,
      2.8260706808878626,
      2.731473458490009,
      2.6423323376381433,
      2.5586910502530085,
      2.4805472936595288,
      2.407841317315463,
      2.340464162778682,
      2.2782794584538553,
      2.221129871129085,
      2.168817767646969,
      2.1210784316552913,
      2.077561793068558,
      2.0378295362324454,
      2.001431733746243,
      1.9679131826620604,
      1.9368204137169676,
      1.9077277985361831,
      1.8802942242235023,
      1.8542624380373536,
      1.8294296443018707,
      1.8056305114896696,
      1.782740508980746,
      1.7606605165310938,
      1.7393107358243243,
      1.7186274969358317,
      1.6985595310774073,
      1.6790646606196113,
      1.6601077502499688,
      1.6416574586746038,
      1.6236855416624432,
      1.6061664526800337,
      1.5890769778451008,
      1.5723965849605097,
      1.5561071567174858,
      1.540191790764035,
      1.5246347072855682,
      1.5094218738746055,
      1.4945403904281795,
      1.4799778228634246,
      1.4657222108204868,
      1.4517620688124118,
      1.438086382659615,
      1.4246846804967916,
      1.411547253883361,
      1.3986648494479772,
      1.3860285544873703,
      1.3736297963604729,
      1.3614603387071926,
      1.3495122752606648,
      1.3377780212996782,
      1.3262503044061245,
      1.3149221542504868,
      1.303786891984032,
      1.2928381184855107,
      1.28206970319374,
      1.271475772961605,
      1.2610507002069222,
      1.2507890923752463,
      1.2406858778111192,
      1.2307362765802712,
      1.2209357747936065,
      1.2112802722457907,
      1.2017658172966597,
      1.1923885472172118,
      1.183144695405882,
      1.1740305961004875,
      1.1650426870388824,
      1.1561775108239114,
      1.147431715897082,
      1.138802055480381,
      1.1302853860972504,
      1.1218786663148022,
      1.1135788427147135,
      1.1053826883909204,
      1.0972870822745153,
      1.0892890637676176,
      1.0813858175745208,
      1.073574661061779,
      1.0658530332920486,
      1.0582184848760041,
      1.0506686698209131,
      1.043201337655283,
      1.0358143271603957,
      1.0285055599365236,
      1.0212730353886772,
      1.014114825714655,
      1.0070291610829936,
      1.0000147417632617,
      0.9930707258283503,
      0.986196451962144,
      0.9793911130832906,
      0.972653787635422,
      0.965983448982149,
      0.9593790159292492,
      0.9528393771583856,
      0.9463634037269213,
      0.9399499587155482,
      0.9335979053711286,
      0.9273061128504914,
      0.9210734691961081,
      0.9148990559310323,
      0.9087820778203668,
      0.9027216945908032,
      0.8967170350267682,
      0.8907672084734248,
      0.8848713135273423,
      0.8790284448017932,
      0.8732376984983912,
      0.8674981764947063,
      0.8618089893689446,
      0.8561692590328809,
      0.8505781207802526,
      0.8450347242493571,
      0.8395382344259817,
      0.8340878323863783,
      0.8286827157356702,
      0.8233221444200166,
      0.8180057565946135,
      0.8127333419955344,
      0.8075046147961971,
      0.8023195132610625,
      0.7971780525445907,
      0.792080094823055,
      0.7870253861938402,
      0.7820135860274221,
      0.7770442884000417,
      0.772117040037391,
      0.7672313535947923,
      0.7623867503366556,
      0.7575827755082166,
      0.7528188146542807,
      0.7480942397142982,
      0.7434084437451507,
      0.7387608386753323,
      0.7341508533628798,
      0.7295779324121643,
      0.7250415348824825,
      0.7205411332439143,
      0.7160762127308881,
      0.7116462703051912,
      0.707250814372054,
      0.7028893640790094,
      0.6985614490119217,
      0.6942666088303417,
      0.6900043927662745,
      0.6857743593423183,
      0.6815760761824443,
      0.6774091195854061,
      0.6732730743182633,
      0.6691675333001808,
      0.665092262408746,
      0.661047238427225,
      0.6570323834126578,
      0.6530475504058951,
      0.6490925412942877,
      0.6451671203476782,
      0.6412710245618528,
      0.6374039715782833,
      0.6335661094134413,
      0.629758052805886,
      0.6259806291317878,
      0.6222344311174828,
      0.6185197847264412,
      0.6148368231117108,
      0.6111855405627589,
      0.6075658315728175,
      0.6039775197254456,
      0.6004203784994424,
      0.5968941462446243,
      0.5933985374607142,
      0.5899332507979057,
      0.5864979746937832,
      0.5830923918611207,
      0.5797161821576565,
      0.5763690247888722,
      0.5730505999534081,
      0.5697605898852699,
      0.5664986798065855,
      0.5632646198548329,
      0.5600583612530927,
      0.5568798316584082,
      0.5537288944818426,
      0.5506053676337881,
      0.5475090373206655,
      0.5444396677782447,
      0.5413970084487373,
      0.5383807993880608,
      0.5353907750492346,
      0.5324266665556731,
      0.5294882040248267,
      0.5265751179830752,
      0.5236871403090845,
      0.5208240049134683,
      0.5179854481057324,
      0.5151712090832559,
      0.5123810302383551,
      0.5096146570564563,
      0.5068718383172355,
      0.5041523262440979,
      0.5014558763225123,
      0.49878239345491404,
      0.4961319503363091,
      0.4935045518143317,
      0.490900132081027,
      0.48831857578198207,
      0.4857597329174306,
      0.48322342977366617,
      0.4807094764309275,
      0.4782176723743513,
      0.4757478102782151,
      0.47329967889251384,
      0.47087306496491294,
      0.4684677547151182,
      0.46608353466202446,
      0.4637201923672644,
      0.4613775169958014,
      0.45905529951753005,
      0.45675333311085686,
      0.4544714132354142,
      0.4522093376288229,
      0.4499669063802798,
      0.44774392203061464,
      0.44554018957200536,
      0.44335556166635187,
      0.4411901254226875,
      0.4390439924783494,
      0.43691718324155393,
      0.4348096542551294,
      0.4327213172583657,
      0.4306520528954897,
      0.4286017203908154,
      0.4265701644715059,
      0.42455722024854137,
      0.4225627167101669,
      0.42058647896614326,
      0.41862833032089203,
      0.41668809324032746,
      0.41476559028532367,
      0.41286064478565193,
      0.4109730811557255,
      0.4091027252855366,
      0.40724940442290924,
      0.40541294771809194,
      0.40359318608296424,
      0.4017899523069633,
      0.4000030811242557,
      0.39823240902945284,
      0.3964777744260436,
      0.3947390176760121,
      0.39301598102535734,
      0.39130850837997283,
      0.38961644564337466,
      0.38793964126124786,
      0.3862779525218565,
      0.38463124051272757,
      0.3829993648588071,
      0.38138218486387065,
      0.3797795598832255,
      0.3781913497705765,
      0.37661741529767995,
      0.37505761834582807,
      0.37351182179270354,
      0.37197996978550935,
      0.37046205527036,
      0.3689580333083851,
      0.3674678323930656,
      0.3659913625317566,
      0.3645285210442579,
      0.3630791965319722,
      0.36164327192245366,
      0.36022062647311853,
      0.3588111372506032,
      0.3574146801672291,
      0.35603113062924724,
      0.3546603642830589,
      0.3533022573020319,
      0.35195668644421363,
      0.35062352936441177,
      0.3493026649532068,
      0.34799397296593754,
      0.3466973344163486,
      0.3454126315657535,
      0.3441397478896215,
      0.3428785680213936,
      0.341628977851284,
      0.3403908645265617,
      0.3391641163017985,
      0.3379486227225654,
      0.3367442745067554,
      0.3355509636070907,
      0.3343685831492254,
      0.3331970273088687,
      0.3320361914338076,
      0.33088597205360337,
      0.32974626682898445,
      0.328616974440452,
      0.3274979946957634,
      0.32638922848724233,
      0.3252905777904496,
      0.3242019454110057,
      0.3231232354076451,
      0.3220543528061843,
      0.32099520358327954,
      0.3199456947924813,
      0.31890573437508957,
      0.3178752313041091,
      0.31685409551467963,
      0.31584223792625005,
      0.3148395702763987,
      0.31384600523675604,
      0.3128614564933295,
      0.3118858384351275,
      0.31091906650624057,
      0.3099610569883711,
      0.30901172307288793,
      0.3080709240313901,
      0.3071384972714148,
      0.3062143055658889,
      0.3052982300924578,
      0.304390165566865,
      0.30349001653263735,
      0.3025976947934667,
      0.30171311772412845,
      0.30083620686874807,
      0.29996688684651385,
      0.2991050847515899,
      0.29825072971434646,
      0.2974037591588927,
      0.296564125287275,
      0.29573177821817037,
      0.2949066638280106,
      0.2940887252244335,
      0.2932779036233482,
      0.29247413909155995,
      0.2916773709917774,
      0.2908875384628305,
      0.2901045805422952,
      0.28932843637730743,
      0.28855904525729553,
      0.2877963468628522,
      0.28704028138879484,
      0.28629078943930486,
      0.28554781210275065,
      0.2848112909001963,
      0.28408116790068544,
      0.2833573858129653,
      0.2826398876972841,
      0.2819286171744719,
      0.28122351850928745,
      0.2805245364926669,
      0.27983161626146846,
      0.2791447035902657,
      0.2784637447144601,
      0.2777886864216334,
      0.27711947608138904,
      0.2764560614480278,
      0.2757983907693691,
      0.2751464129355756,
      0.2745000771212291,
      0.2738593330768409,
      0.27322413098981835,
      0.27259442149938073,
      0.2719701558529076,
      0.27135128566972694,
      0.2707377630626615,
      0.27012954050633,
      0.2695265709484697,
      0.2689288078209978,
      0.2683362048872021,
      0.2677487163954471,
      0.2671662970943073,
      0.26658890217315817,
      0.2660164871787761,
      0.2654490080346555,
      0.26488642110006183,
      0.2643286831156452,
      0.26377575130308883,
      0.2632275832503882,
      0.26268413688689674,
      0.262145361988795,
      0.26161120171260077,
      0.26108160360906796,
      0.2605565190752041,
      0.2600359024908402,
      0.2595197104811432,
      0.25900790131417256,
      0.25850043467391837,
      0.25799727118377835,
      0.2574983723024748,
      0.25700370018468144,
      0.2565132176205267,
      0.2560268879138394,
      0.25554467476203085,
      0.25506654230285575,
      0.25459245522607965,
      0.25412237845487673,
      0.25365627722208306,
      0.2531941171986212,
      0.2527358642288145,
      0.25228148463901656,
      0.2518309449878546,
      0.2513842122245765,
      0.250941253606928,
      0.25050203656932196,
      0.25006652887126923,
      0.2496346986454477,
      0.24920651416669112,
      0.24878194404177978,
      0.24836095720925738,
      0.24794352295319766,
      0.2475296107654703,
      0.2471191903741542,
      0.24671223187452837,
      0.2463087055304991,
      0.24590858184394185,
      0.2455118315863218,
      0.24511842584442567,
      0.24472833600321053,
      0.24434153362818978,
      0.24395799053908288,
      0.24357767882082348,
      0.24320057084827573,
      0.24282663920991363,
      0.24245585673440456,
      0.24208819647959268,
      0.24172363170969274,
      0.24136213597488074,
      0.24100368297563787,
      0.24064824682205563,
      0.24029580172203943,
      0.2399463220643572,
      0.2395997825784094,
      0.2392561582410073,
      0.2389154240566388
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182906582138086,
      10.993516616257073,
      10.794092725060604,
      10.586450042510744,
      10.37241101899462,
      10.15381413006921,
      9.932288133172914,
      9.709326585275484,
      9.48633219884862,
      9.264618479748172,
      9.045383885368027,
      8.829667161760193,
      8.618321966780574,
      8.412001278430187,
      8.211155832029878,
      8.01604095173011,
      7.826730298391933,
      7.643138529087522,
      7.465048002960456,
      7.292138440056675,
      7.124010682957649,
      6.960210822369113,
      6.8002524049458914,
      6.643635461795011,
      6.489863550579716,
      6.338458133199069,
      6.1889689488727315,
      6.040982134864391,
      5.894135241328167,
      5.7481176372142375,
      5.6026674991236245,
      5.457585433092536,
      5.312745122626056,
      5.168091726370014,
      5.023626208194754,
      4.879394778196316,
      4.735504227238431,
      4.5921295515021425,
      4.449508772451186,
      4.307936019168369,
      4.16775083801781,
      4.0293213440292455,
      3.8930413721122346,
      3.7593225179002294,
      3.6285820241162092,
      3.5012323913542227,
      3.37767191198249,
      3.258271881186064,
      3.1433672017765484,
      3.033248060947062,
      2.9281553061406216,
      2.828280425260606,
      2.7337643479583638,
      2.6446980826741924,
      2.5611250435112183,
      2.4830422391116387,
      2.4103883442532283,
      2.3430540334611947,
      2.2809030539465165,
      2.223777858070055,
      2.1714792011806034,
      2.1237413238664375,
      2.0802120647214,
      2.040452830393206,
      2.004014790459767,
      1.9704441345182082,
      1.9392892400464028,
      1.9101267605878927,
      1.8826176506158605,
      1.8565063676863132,
      1.831591496991409,
      1.807707971979011,
      1.78473140929117,
      1.7625637437889672,
      1.7411255736306381,
      1.7203534778570866,
      1.7001963275779786,
      1.680611896988689,
      1.661565354096661,
      1.6430258708374443,
      1.624965561861226,
      1.6073591524056337,
      1.5901836307184702,
      1.5734181295255336,
      1.557044372598777,
      1.541045674340147,
      1.5254063176752297,
      1.5101117274921683,
      1.4951489987461735,
      1.48050591075096,
      1.4661706674520139,
      1.4521319068330485,
      1.4383787044361507,
      1.4249006477316006,
      1.411688064845414,
      1.3987317302107216,
      1.3860227440125175,
      1.3735525345611892,
      1.3613128566527049,
      1.349295787345318,
      1.3374937200133625,
      1.3258993558011218,
      1.3145056947940856,
      1.3033060261652156,
      1.292293917765583,
      1.2814632048071344,
      1.2708079793115468,
      1.260322579296928,
      1.2500015777352158,
      1.2398398619006117,
      1.2298326175368899,
      1.219975331272724,
      1.2102638838752888,
      1.200694289928934,
      1.1912626543896656,
      1.1819651796223019,
      1.1727981701787886,
      1.1637580356701338,
      1.1548412917249744,
      1.1460445607533827,
      1.137364571129996,
      1.128798154882478,
      1.1203421941157417,
      1.111993435220687,
      1.103748611263549,
      1.0956046249950335,
      1.0875585325920798,
      1.0796075301674706,
      1.0717489425945839,
      1.0639802124204798,
      1.0562988913179476,
      1.0487026318488883,
      1.0411891805654545,
      1.0337563714408962,
      1.0264021204524998,
      1.0191244334811351,
      1.011921733152482,
      1.004793021335392,
      0.9977375258070705,
      0.9907543518501422,
      0.9838424976047938,
      0.9770008842099368,
      0.9702283689129984,
      0.9635237466078922,
      0.9568857923175889,
      0.9503132780046419,
      0.9438049799871191,
      0.9373596844063914,
      0.9309761914754949,
      0.924653319185172,
      0.9183900429149493,
      0.9121855144702523,
      0.90603886274674,
      0.8999491862457702,
      0.8939155641003711,
      0.8879370649955105,
      0.8820127541584339,
      0.876141699150371,
      0.8703229738151851,
      0.8645556614151463,
      0.8588388572704835,
      0.8531716706578628,
      0.8475532259767085,
      0.8419826636471488,
      0.836459141051229,
      0.8309818326585882,
      0.8255502109643861,
      0.8201640456896745,
      0.8148230258109749,
      0.8095269538710883,
      0.8042758357854358,
      0.7990695603350669,
      0.7939078872959254,
      0.7887904795603348,
      0.783716927819932,
      0.7786867696528799,
      0.7736995044895127,
      0.7687546486948607,
      0.7638520015062941,
      0.7589912008557386,
      0.7541714987734864,
      0.7493921548168275,
      0.7446524723136654,
      0.7399517911953163,
      0.7352894820944162,
      0.7306649422030543,
      0.7260775913555887,
      0.7215268694467801,
      0.7170122343410866,
      0.7125331596071199,
      0.7080891333709219,
      0.7036796572680637,
      0.6993042452137211,
      0.6949624227521876,
      0.6906537263235994,
      0.6863777028796626,
      0.6821339091110166,
      0.6779219109973387,
      0.6737412837821524,
      0.6695917221959545,
      0.665473179708944,
      0.66138558282327,
      0.6573287846030014,
      0.6533025839411463,
      0.6493067395736408,
      0.6453409812743048,
      0.6414050458053833,
      0.6374991402961558,
      0.6336239190817278,
      0.6297802017976083,
      0.6259685490633208,
      0.6221892599429906,
      0.6184424444587568,
      0.6147280766707344,
      0.6110460332931504,
      0.607396121806438,
      0.6037781007206694,
      0.6001916945978834,
      0.5966366049735966,
      0.5931125183566515,
      0.5896191116640186,
      0.5861560563801869,
      0.5827230215050505,
      0.5793196758097595,
      0.5759456893822852,
      0.5726007346466001,
      0.569284487139179,
      0.5659966835713672,
      0.5627372677296544,
      0.5595061654233512,
      0.5563032363227887,
      0.5531282932303137,
      0.5499811161434827,
      0.5468614628606385,
      0.5437690758077278,
      0.5407036877291712,
      0.5376650255490526,
      0.5346528131794362,
      0.5316667735134528,
      0.5287066297382996,
      0.5257721064304365,
      0.5228629303094104,
      0.5199788307046627,
      0.5171195398641991,
      0.5142847932338587,
      0.5114743296065313,
      0.5086878913205117,
      0.5059252240243639,
      0.5031861021014288,
      0.5004705179576096,
      0.49777853159416674,
      0.49511011371838054,
      0.4924651723823097,
      0.4898435717547888,
      0.4872451455944801,
      0.4846697069457636,
      0.4821170548783369,
      0.47958697936294453,
      0.47707926493541714,
      0.474593692983814,
      0.47213004355726923,
      0.4696880963975879,
      0.46726763216401235,
      0.4648684328126354,
      0.4624902822261135,
      0.4601329662560177,
      0.4577962729930902,
      0.45547999296038244,
      0.4531839190781896,
      0.45090784688413355,
      0.44865157447480297,
      0.44641490234732095,
      0.4441978358294087,
      0.44200052034715276,
      0.4398230035893851,
      0.43766525938388934,
      0.43552720973486947,
      0.4334087406426523,
      0.4313097132112159,
      0.42922997165998883,
      0.4271693488275081,
      0.42512767017894865,
      0.4231047566871966,
      0.42110042685322047,
      0.4191144980500828,
      0.4171467876284559,
      0.41519711327862263,
      0.4132652939482294,
      0.41135114994527855,
      0.4094545030404207,
      0.4075751767989231,
      0.4057129966339482,
      0.40386778996383144,
      0.4020393861934425,
      0.4002276165456992,
      0.398432314226116,
      0.3966533143608589,
      0.3948904541413344,
      0.3931435726667235,
      0.3914125108402912,
      0.389697111446351,
      0.38799721910325863,
      0.38631268034645666,
      0.38464334348567514,
      0.3829890632728393,
      0.381349701699758,
      0.3797251200642984,
      0.3781151788943562,
      0.3765197387044166,
      0.37493866029107276,
      0.37337180528121283,
      0.37181909785627953,
      0.37028052811353973,
      0.36875605681987256,
      0.36724561589342086,
      0.3657491168818949,
      0.3642664574823708,
      0.362797525998003,
      0.36134220418051943,
      0.359900369919572,
      0.3584718985159518,
      0.3570566640195921,
      0.35565453992443874,
      0.35426539970651677,
      0.352889117334129,
      0.3515255674215109,
      0.35017462558638024,
      0.3488361684017873,
      0.34751007352766944,
      0.34619621976805615,
      0.34489448725767696,
      0.34360475742260743,
      0.34232691284218664,
      0.3410608373930796,
      0.3398064160400765,
      0.3385635350364355,
      0.3373320819492489,
      0.3361119456878256,
      0.33490301623002156,
      0.33370518468208266,
      0.33251834328979807,
      0.3313423856182347,
      0.3301772062637262,
      0.32902270112840476,
      0.327878767112691,
      0.3267453022555916,
      0.32562220562321886,
      0.32450937744184916,
      0.32340671894125816,
      0.3223141325185582,
      0.3212315214090136,
      0.32015879002050934,
      0.31909584380025596,
      0.3180425891681136,
      0.3169989334649593,
      0.3159647849670858,
      0.3149400530176277,
      0.31392464785554053,
      0.3129184806885564,
      0.31192146366724277,
      0.31093350978494266,
      0.3099545329838244,
      0.3089843946010824,
      0.3080229236615322,
      0.3070699758873849,
      0.30612542655950226,
      0.3051891653639047,
      0.30426109251217376,
      0.30334111609618664,
      0.30242914996750786,
      0.3015251124389487,
      0.30062892504000543,
      0.2997405119454735,
      0.29885979947661034,
      0.29798671562255274,
      0.29712119400502995,
      0.29626318495447335,
      0.2954126384133341,
      0.29456949966634466,
      0.29373371090170153,
      0.2929052121877323,
      0.2920839422502396,
      0.2912698389899133,
      0.2904628400214193,
      0.2896628827787041,
      0.2888699047078995,
      0.28808384363803136,
      0.28730463765641373,
      0.2865322252773254,
      0.2857665455355323,
      0.285007537890162,
      0.28425514226990367,
      0.2835092992341071,
      0.2827699499067261,
      0.28203703584824374,
      0.28131049924722656,
      0.2805902826681048,
      0.2798763293602242,
      0.2791685831361119,
      0.2784669883282313,
      0.2777714896961075,
      0.27708203261479974,
      0.27639856299808296,
      0.27572102721059405,
      0.2750493721848608,
      0.27438354527311565,
      0.2737234944058032,
      0.27306916795881014,
      0.27242051492799696,
      0.2717774846983836,
      0.2711400270563469,
      0.2705080923045097,
      0.26988163131516746,
      0.2692605953434488,
      0.2686449361472758,
      0.2680346058925212,
      0.26742955711035865,
      0.26682974284664285,
      0.2662351167239537,
      0.26564563266178287,
      0.2650612449924638,
      0.264481908527255,
      0.2639075785094416,
      0.263338210569029,
      0.262773760780399,
      0.2622141808888408,
      0.26165941207890214,
      0.26110939829817265,
      0.2605640879087625,
      0.26002343262274463,
      0.25948738655111964,
      0.25895590579643174,
      0.2584289478618352,
      0.257906471459518,
      0.257388436209101,
      0.25687480244106725,
      0.25636553124435696,
      0.2558605842751391,
      0.25535992356731263,
      0.25486351167525373,
      0.25437131160206483,
      0.25388328672921634,
      0.25339940081144174,
      0.2529196177688272,
      0.25244390209064094,
      0.25197221856640206,
      0.2515045322728318,
      0.25104080858679106,
      0.2505810133013438,
      0.2501251124885789,
      0.24967307252894472,
      0.2492248600525271,
      0.24878044203378788,
      0.248339785671164,
      0.24790285854743305,
      0.24746962849864082,
      0.24704006364944675,
      0.2466141324621583,
      0.24619180367230037,
      0.24577304618698947,
      0.24535782927671348,
      0.24494612247540937,
      0.24453789562159595,
      0.24413311881157618,
      0.24373176237887292,
      0.2433337969253095,
      0.24293919328959207,
      0.24254792263093605,
      0.2421599563231797,
      0.24177526598967972,
      0.24139382351337543,
      0.24101560099700192,
      0.24064057090211552,
      0.24026870590970345,
      0.23989997880667663,
      0.2395343627037292,
      0.2391718309998627,
      0.2388123572842044,
      0.2384559153658051,
      0.2381024793169933,
      0.23775202345390847,
      0.23740452220343525,
      0.2370599503012744,
      0.23671828274955364,
      0.2363794947242855
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182898750106837,
      10.9934807182564,
      10.794014225612148,
      10.586320230072639,
      10.37222714806922,
      10.153577974795589,
      9.93200500322932,
      9.709004411385632,
      9.485980371939245,
      9.264246975641392,
      9.045002652758965,
      8.829285606764412,
      8.617948762975276,
      8.411644272533964,
      8.210821689166687,
      8.01573484756501,
      7.826456128707429,
      7.642899164930941,
      7.464845422427568,
      7.291973893452581,
      7.123884860433299,
      6.960123960214204,
      6.8002045941217,
      6.643626804305815,
      6.4898942822843875,
      6.338528725931406,
      6.1890804950498275,
      6.041136216208825,
      5.894333800242352,
      5.748363464415421,
      5.602963949217791,
      5.457936160168486,
      5.313154042270178,
      5.168562907523052,
      5.024164657491381,
      4.880006344966467,
      4.7361945524739415,
      4.592903957874966,
      4.450372146822847,
      4.30889269372889,
      4.168804883582516,
      4.03047682814565,
      3.894301429493504,
      3.7606892884071828,
      3.630056616360432,
      3.502814565051167,
      3.3793602604261705,
      3.2600639231324253,
      3.145259334969194,
      3.035235902616063,
      2.930234049520015,
      2.8304447903049295,
      2.7360085457385486,
      2.6470159125993473,
      2.5635099885947756,
      2.485486850618256,
      2.412883852067086,
      2.345591337630083,
      2.2834732389307573,
      2.226371705095707,
      2.1740859382899065,
      2.126349160431569,
      2.082807151968453,
      2.0430210485589457,
      2.0065429444275438,
      1.972920594408949,
      1.9417041965196358,
      1.91247264881711,
      1.8848889453725826,
      1.8586992237194606,
      1.8337034174875673,
      1.809736824853168,
      1.7866751420497862,
      1.764421334308269,
      1.742896378788982,
      1.7220370911991034,
      1.7017924730278595,
      1.6821204976882993,
      1.6629863088824202,
      1.6443595957068278,
      1.6262128333460928,
      1.6085210162702963,
      1.5912613324310032,
      1.574412883336784,
      1.557956987961075,
      1.5418770656057763,
      1.5261575693423786,
      1.5107838054354779,
      1.495742360190353,
      1.4810211408280234,
      1.4666085334668166,
      1.4524933150193455,
      1.4386646644383518,
      1.4251122388048112,
      1.4118264104204785,
      1.3987979904206516,
      1.3860180990538464,
      1.3734781711787887,
      1.3611699579791168,
      1.3490855249015001,
      1.3372172468306627,
      1.32555780211636,
      1.3141001641598633,
      1.3028375928189635,
      1.291763624626923,
      1.2808720625933843,
      1.270156965939854,
      1.2596126396076481,
      1.2492336235208004,
      1.2390147655109995,
      1.228951218065075,
      1.2190384642004823,
      1.2092723654308464,
      1.1996489045587406,
      1.1901641559964649,
      1.1808142925723506,
      1.1715955904255986,
      1.1625044315795952,
      1.1535373056625355,
      1.1446908100024638,
      1.1359616443206695,
      1.1273465712050432,
      1.1188423352720762,
      1.1104455710771863,
      1.102153035867736,
      1.0939616495905014,
      1.085868480472802,
      1.077870732389748,
      1.06996573397781,
      1.0621509289472886,
      1.05442386734978,
      1.0467821987779293,
      1.0392236649134357,
      1.0317460940273842,
      1.0243475853456325,
      1.017026875910918,
      1.009783062303319,
      1.0026151608850054,
      0.9955220784198983,
      0.9885026449219155,
      0.9815556368290357,
      0.9746797959937538,
      0.9678738328811766,
      0.961136423743245,
      0.9544662477157875,
      0.9478619989444109,
      0.9413223901100904,
      0.9348461554551679,
      0.9284320528148224,
      0.9220789458978024,
      0.9157859248008936,
      0.9095520898005234,
      0.9033765099889894,
      0.897258235206091,
      0.8911963047910962,
      0.8851897549586719,
      0.8792376244624739,
      0.8733389587662072,
      0.8674928134999328,
      0.8616982569072288,
      0.8559543718022147,
      0.8502602568416373,
      0.8446150273223713,
      0.8390178161207391,
      0.8334678827100602,
      0.8279649108534415,
      0.8225086032263247,
      0.8170986285881169,
      0.8117349114185755,
      0.8064173846660486,
      0.8011458353684411,
      0.7959199403576477,
      0.7907392939746739,
      0.7856034300586149,
      0.7805118382648856,
      0.7754640151414811,
      0.7704597363989355,
      0.7654988675678078,
      0.7605809580094788,
      0.7557051652210396,
      0.7508706548419009,
      0.7460766548111236,
      0.7413224440334968,
      0.7366073432116166,
      0.7319307084321661,
      0.727291925405295,
      0.7226904052607117,
      0.7181255811267978,
      0.7135969053839191,
      0.7091038475609802,
      0.7046458926167665,
      0.7002225396278297,
      0.6958333007036194,
      0.6914776999482244,
      0.6871552726970108,
      0.6828655648741023,
      0.6786081325213758,
      0.6743825940906191,
      0.6701888415021475,
      0.6660268146737707,
      0.6618963734760848,
      0.6577973185342606,
      0.6537294065268824,
      0.6496923623986286,
      0.6456859196504537,
      0.6417102891338496,
      0.6377661247790843,
      0.6338542489362007,
      0.6299752221814602,
      0.6261293398314017,
      0.6223167057121978,
      0.6185372856751965,
      0.6147909470236164,
      0.6110774871765798,
      0.6073966541003915,
      0.6037481617506656,
      0.6001317007249716,
      0.5965469464758065,
      0.5929935651600566,
      0.5894712173731461,
      0.5859795617132291,
      0.582518256661611,
      0.5790869620572382,
      0.575685340196452,
      0.5723130568165704,
      0.5689698241314712,
      0.5656555574810579,
      0.5623701894906877,
      0.5591135820093971,
      0.5558855470512906,
      0.5526858615984088,
      0.5495142786843398,
      0.5463705353792697,
      0.5432543581607259,
      0.5401654671382793,
      0.5371035791203705,
      0.5340684096357765,
      0.5310596747311619,
      0.5280770915583454,
      0.5251203794584167,
      0.5221892605290054,
      0.5192834599063532,
      0.5164027059410571,
      0.5135467305484156,
      0.5107152692011269,
      0.5079080607935879,
      0.5051249103703899,
      0.50236586250293,
      0.4996309477975618,
      0.49692011418279713,
      0.4942332515960579,
      0.49157020949001123,
      0.4889308094586063,
      0.4863148540680193,
      0.48372213322069546,
      0.48115242870989405,
      0.4786055176929992,
      0.4760811746881151,
      0.4735791732470387,
      0.4710992870544596,
      0.46864129101851804,
      0.4662049615419903,
      0.4637900769675012,
      0.46139641789329755,
      0.4590237673609861,
      0.4566719108142334,
      0.4543406363121365,
      0.4520297344634996,
      0.44973899854057414,
      0.4474682938944141,
      0.44521774068424624,
      0.44298743514913,
      0.44077738329743155,
      0.4385875279077692,
      0.4364177677193407,
      0.4342679708128295,
      0.4321379842647137,
      0.43002764107537944,
      0.42793676500560374,
      0.4258651737970548,
      0.4238126818308306,
      0.42177910177577455,
      0.41976424566531667,
      0.41776792591482825,
      0.4157899557755875,
      0.41383014976002086,
      0.41188832391372293,
      0.4099642961638845,
      0.4080578862364774,
      0.40616891582976256,
      0.40429720863680324,
      0.40244259044683234,
      0.4006048890203038,
      0.39878393414487756,
      0.3969795575666904,
      0.39519159302628626,
      0.39341987632279013,
      0.3916642451778669,
      0.38992453920457404,
      0.38820060003138135,
      0.38649227097199174,
      0.3847993972827194,
      0.3831218260412992,
      0.3814594060800173,
      0.37981198975253544,
      0.37817943829954104,
      0.37656161482554146,
      0.37495838127552616,
      0.37336959924549756,
      0.3717951619685172,
      0.3702350557818392,
      0.3686892518337967,
      0.3671576885996979,
      0.3656402815832912,
      0.36413693054084234,
      0.36264752440614295,
      0.36117194474922737,
      0.3597100684424557,
      0.3582617695434017,
      0.3568269204530918,
      0.3554053926838645,
      0.35399705762167677,
      0.3526017872348765,
      0.3512194538667552,
      0.34984993084166516,
      0.348493092487029,
      0.347148814310031,
      0.34581697297266323,
      0.3444974463454711,
      0.34319011353826395,
      0.34189485503541667,
      0.3406115526051945,
      0.3393400891103946,
      0.3380803487024611,
      0.3368322169175048,
      0.3355955805206046,
      0.33437032742996475,
      0.3331563468084885,
      0.33195352905704817,
      0.33076176573431665,
      0.32958094951742917,
      0.3284109743436144,
      0.32725173531310303,
      0.32610312859529306,
      0.32496505141351373,
      0.3238374022361497,
      0.3227200804873091,
      0.32161298669284866,
      0.3205160224888132,
      0.3194290905568382,
      0.3183520945999877,
      0.3172849392835349,
      0.3162275303941153,
      0.3151797746077742,
      0.3141415796037275,
      0.3131128541170675,
      0.3120935077272265,
      0.31108345097965545,
      0.31008256530533307,
      0.30909067759152403,
      0.30810763010950887,
      0.3071332877868915,
      0.3061675320132852,
      0.3052102562868201,
      0.30426136303744106,
      0.30332076124568197,
      0.3023883648864711,
      0.30146409177253425,
      0.3005478626402644,
      0.29963960050008476,
      0.2987392303001946,
      0.2978466783930241,
      0.29696187423203513,
      0.2960847628930152,
      0.29521529497189897,
      0.294353415599645,
      0.293499066310168,
      0.29265218625723605,
      0.29181271286218896,
      0.2909805826839732,
      0.2901557318396659,
      0.289338096219405,
      0.2885276118911012,
      0.28772421490698463,
      0.2869278417713132,
      0.28613842936218786,
      0.2853559150324866,
      0.2845802365594361,
      0.2838113322986851,
      0.2830491411366959,
      0.28229360254653696,
      0.28154465658163436,
      0.2808022437314258,
      0.28006630502010466,
      0.27933678215760854,
      0.27861361742572893,
      0.27789675360413624,
      0.2771861340633755,
      0.2764817026433545,
      0.27578340378766547,
      0.2750911823235686,
      0.2744049837521313,
      0.27372475412045527,
      0.2730504398704837,
      0.27238198798138297,
      0.27171934596092484,
      0.2710624619151465,
      0.27041128430153966,
      0.2697657621289249,
      0.2691258447897285,
      0.26849148230103687,
      0.2678626251656041,
      0.267239224247334,
      0.2666212309406355,
      0.26600859694683904,
      0.26540127467508884,
      0.26479921676756346,
      0.26420237638910576,
      0.2636107071619976,
      0.26302416317867267,
      0.2624426987743857,
      0.26186625797215474,
      0.2612947792780547,
      0.260728206627389,
      0.260166488048327,
      0.2596095745834602,
      0.2590574195917241,
      0.25850997810943527,
      0.25796720659927047,
      0.2574290625007975,
      0.25689550417891543,
      0.25636649074850076,
      0.25584198191429347,
      0.25532193797825786,
      0.2548063198618381,
      0.25429508877406143,
      0.2537882063258493,
      0.25328563469673776,
      0.2527873362436632,
      0.25229327375918503,
      0.25180341047666477,
      0.2513177098734084,
      0.25083613583101166,
      0.2503586525806874,
      0.2498852246752178,
      0.24941581692378503,
      0.24895039449318437,
      0.2484889228573914,
      0.24803136778659846,
      0.24757769538782365,
      0.24712787215966783,
      0.24668186480652018,
      0.24623964032082007,
      0.24580116606614955,
      0.24536640965804893,
      0.2449353388837945,
      0.244507921966475,
      0.24408412737241222,
      0.24366392389935745,
      0.24324728053667022,
      0.24283416659370757,
      0.24242455168887583,
      0.24201840566387622,
      0.24161569866386043,
      0.24121640105324035,
      0.2408204835232112,
      0.2404279169586309,
      0.2400386725217602,
      0.23965272168622895,
      0.23927003615749387,
      0.23889058793415582,
      0.23851434909029032,
      0.2381412920414602,
      0.23777138949403662,
      0.23740461436997595,
      0.23704093978311783,
      0.23668033920732515,
      0.2363227862384665,
      0.23596825476407862,
      0.235616718841398,
      0.23526815280503596,
      0.2349225312102732,
      0.234579828853304,
      0.2342400207543669,
      0.2339030821669615
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182890894983952,
      10.993444650359118,
      10.79393522212446,
      10.586189395975024,
      10.372041586714326,
      10.153339378344917,
      9.93171877196822,
      9.708678578234865,
      9.485624411955024,
      9.263870954440458,
      9.044616595394832,
      8.828898973831175,
      8.617570205228184,
      8.411281606189556,
      8.210481556759037,
      8.015422410128279,
      7.826175305324257,
      7.6426528447551965,
      7.464635586149117,
      7.291801769791497,
      7.123751176282598,
      6.9600289967252795,
      6.800148430032897,
      6.643609524000131,
      6.489916098705476,
      6.338590081812251,
      6.189182364817973,
      6.041280149027281,
      5.89452171566493,
      5.748598113448235,
      5.603248634200647,
      5.458274476401666,
      5.313549840949833,
      5.1690201778913965,
      5.024688284221447,
      4.880602032331345,
      4.736867801931953,
      4.593659960001663,
      4.45121566587015,
      4.309827950502757,
      4.1698358553559185,
      4.031607511890172,
      3.89553490338521,
      3.7620276514262625,
      3.6315009516568115,
      3.5043646294070743,
      3.381014673244007,
      3.2618203066124143,
      3.1471142020809726,
      3.0371849363626158,
      2.9322725086275003,
      2.83256746368105,
      2.738209720208013,
      2.6492894702140934,
      2.5658494974127426,
      2.4878845187305383,
      2.4153306437640154,
      2.3480783388884725,
      2.285991720841806,
      2.2289126342074717,
      2.1766387669870952,
      2.1289022325280134,
      2.0853467942952575,
      2.0455334808050827,
      2.009015295450574,
      1.9753415277847783,
      1.9440641647135253,
      1.9147642980727713,
      1.8871069212191824,
      1.8608398145560672,
      1.8357642221289547,
      1.8117160368918248,
      1.7885707920560114,
      1.7662324646719556,
      1.7446224669434034,
      1.7236779290023212,
      1.7033479202084079,
      1.6835904708627423,
      1.6643706535109277,
      1.64565867765562,
      1.6274273954533685,
      1.6096520700941765,
      1.5923100885839216,
      1.5753806965962953,
      1.5588448920153286,
      1.5426858739664568,
      1.526888278165242,
      1.511437545506411,
      1.4963199013870256,
      1.4815229187658276,
      1.4670351864826146,
      1.4528456371419238,
      1.4389435671851245,
      1.425318714627715,
      1.4119615055187924,
      1.398862795807726,
      1.3860137333124476,
      1.3734057664834902,
      1.3610306483979775,
      1.3488804373614536,
      1.3369474942662891,
      1.3252244779156972,
      1.3137043381397697,
      1.3023803082009657,
      1.2912458960450355,
      1.2802948744539284,
      1.2695212714212218,
      1.2589193602324142,
      1.2484836492850946,
      1.238208948588005,
      1.2280903786800255,
      1.2181234150292826,
      1.208303899299701,
      1.1986277843370114,
      1.1890911155590607,
      1.1796900379371205,
      1.170420800497722,
      1.1612797594108255,
      1.1522633789967933,
      1.1433682254553816,
      1.1345909285150428,
      1.1259281882578211,
      1.1173766040760542,
      1.1089327809005467,
      1.1005934957290209,
      1.0923556820989726,
      1.0842164170393318,
      1.0761729093407573,
      1.0682224893603105,
      1.0603626001697881,
      1.0525907890930302,
      1.0449047012199415,
      1.0373021292809386,
      1.0297814343147909,
      1.0223415659011892,
      1.0149814429412207,
      1.0076998746593009,
      1.0004955916721623,
      0.9933672721947555,
      0.9863135613989904,
      0.9793330861030541,
      0.9724244665032569,
      0.9655863127692762,
      0.958817220075864,
      0.9521158021648398,
      0.9454806994541664,
      0.9389105806521205,
      0.9324041439398705,
      0.9259601573540686,
      0.9195776240310032,
      0.9132556170190748,
      0.906993177119442,
      0.9007893251260821,
      0.8946430712826009,
      0.8885534224405168,
      0.882519388211107,
      0.876539985467346,
      0.870614241667896,
      0.8647411971679497,
      0.8589199076458465,
      0.853149445179642,
      0.8474288994561038,
      0.8417573783560875,
      0.8361343503949075,
      0.8305595437233387,
      0.8250325765860341,
      0.8195531980137247,
      0.8141213593343717,
      0.8087368903668869,
      0.803399493591988,
      0.7981087760582348,
      0.7928642740005241,
      0.7876654721658295,
      0.7825118337136221,
      0.7774030866110584,
      0.7723390975074422,
      0.7673196095130105,
      0.7623441365488179,
      0.757411768968658,
      0.7525215885811949,
      0.7476727557067206,
      0.7428644939552244,
      0.7380960788796509,
      0.7333668290005573,
      0.7286760983678464,
      0.7240232713027139,
      0.7194077576289511,
      0.714828989426018,
      0.7102864184059591,
      0.705779513604215,
      0.7013077595825301,
      0.6968706550391666,
      0.6924677116969052,
      0.6880984534160669,
      0.6837624153026198,
      0.679459143141192,
      0.6751884228988954,
      0.6709502132159103,
      0.6667443872928891,
      0.6625707523311006,
      0.6584290666681821,
      0.6543190530234221,
      0.6502404110197105,
      0.6461933061501396,
      0.642178363586028,
      0.6381964178576699,
      0.6342480592775329,
      0.6303336006592212,
      0.6264531546498308,
      0.622606690070458,
      0.6187940727765512,
      0.6150150954615741,
      0.6112694996753567,
      0.607556991269114,
      0.6038772517832635,
      0.6002299469329305,
      0.5966147325739052,
      0.5930312591101428,
      0.5894791746110122,
      0.5859581270306652,
      0.5824677657661637,
      0.5790077429925639,
      0.575577714398084,
      0.5721773553441181,
      0.5688065343434365,
      0.5654651990022495,
      0.5621532192039111,
      0.558870410125047,
      0.5556165486077302,
      0.5523913850882906,
      0.5491946523172303,
      0.5460260713821943,
      0.542885356198679,
      0.5397722167889195,
      0.5366863616143495,
      0.5336274991478194,
      0.5305953390730348,
      0.5275895933948964,
      0.5246099767278506,
      0.5216562067296291,
      0.5187280044793328,
      0.5158250945213709,
      0.5129472049825622,
      0.5100940678406343,
      0.5072655174177658,
      0.5044616113986367,
      0.501682362696062,
      0.4989277046373011,
      0.49619751477821,
      0.4934916319535769,
      0.49080986829954387,
      0.48815201776486433,
      0.48551786243716016,
      0.4829071768587546,
      0.4803197312368304,
      0.47775529361049884,
      0.4752136313131195,
      0.47269451211642377,
      0.47019770498440744,
      0.4677229806180514,
      0.4652701117422068,
      0.4628388734661084,
      0.4604290435162761,
      0.4580404022402386,
      0.45567273258548835,
      0.45332582015557654,
      0.4509994533177534,
      0.4486936028229269,
      0.44640841221803734,
      0.4441439380627888,
      0.4419001567474254,
      0.43967698862583543,
      0.4374743151016271,
      0.4352919905334812,
      0.43312985108761554,
      0.4309877205427081,
      0.42886541484887747,
      0.42676274510022705,
      0.4246795195681293,
      0.4226155453363745,
      0.4205706294934623,
      0.4185445796571477,
      0.4165372044697214,
      0.414548314167244,
      0.41257772071644117,
      0.4106252378757219,
      0.40869068135904313,
      0.4067738690525119,
      0.40487462082619474,
      0.40299275880635077,
      0.40112810709095176,
      0.39928049184920283,
      0.397449741271264,
      0.3956356857751927,
      0.3938381577338649,
      0.392056991459203,
      0.39029202321466555,
      0.3885430912817015,
      0.3868100358766315,
      0.3850926991216652,
      0.3833909249937447,
      0.38170455917417895,
      0.38003344930859595,
      0.3783774447864219,
      0.3767363966765043,
      0.3751101638975242,
      0.3734986113002971,
      0.3719016104596797,
      0.3703191193867392,
      0.3687511266993859,
      0.36719758226270477,
      0.365658409001648,
      0.36413351102028,
      0.3626227796401987,
      0.3611260974561291,
      0.3596433412123599,
      0.358174384019147,
      0.35671909689190684,
      0.35527734982248593,
      0.35384901223320225,
      0.35243395388480164,
      0.35103204509608227,
      0.3496431569126803,
      0.34826716142878955,
      0.34690393180502466,
      0.3455533424666013,
      0.3442152689983136,
      0.3428895882711968,
      0.341576178469738,
      0.34027491902031964,
      0.3389856907006607,
      0.3377083755741997,
      0.33644285697806003,
      0.3351890194633053,
      0.3339467488271181,
      0.33271593218577483,
      0.3314964579110293,
      0.3302882155188113,
      0.3290910957385306,
      0.3279049905345373,
      0.3267297930034551,
      0.3255653972996348,
      0.3244116988432731,
      0.3232685941751287,
      0.3221359809290399,
      0.3210137578832943,
      0.31990182484958546,
      0.31880008261545867,
      0.31770843315636776,
      0.31662677940562123,
      0.31555502542116426,
      0.3144930761482244,
      0.3134408377186738,
      0.3123982171046523,
      0.31136511764205355,
      0.3103413844188578,
      0.3093268394907369,
      0.30832133238032744,
      0.3073247325266532,
      0.3063369239868881,
      0.30535780161635884,
      0.3043872680890609,
      0.3034252321169107,
      0.3024716069196477,
      0.3015263090540906,
      0.3005892578275955,
      0.2996603746828852,
      0.29873958278080665,
      0.29782680677957146,
      0.29692197264470027,
      0.29602501742122306,
      0.29513589091090536,
      0.29425453891999276,
      0.2933809028807091,
      0.29251492127226514,
      0.2916565306618029,
      0.2908056664321889,
      0.28996226322476937,
      0.28912625542996895,
      0.2882975773581145,
      0.28747616352403704,
      0.2866619487918845,
      0.2858548683173101,
      0.28505485766836325,
      0.2842618529473216,
      0.2834757908758032,
      0.28269660867833113,
      0.2819242441072889,
      0.28115863545648434,
      0.28039972167824745,
      0.2796474423244543,
      0.27890173742555,
      0.2781625475748565,
      0.27742981395078,
      0.2767034783025998,
      0.27598348295071495,
      0.27526977081421644,
      0.27456228530044907,
      0.2738609703231562,
      0.2731657704239767,
      0.2724766306414467,
      0.27179349653428553,
      0.2711163142189879,
      0.2704450302819576,
      0.26977959182037015,
      0.2691199464846382,
      0.268466042331648,
      0.2678178279976911,
      0.26717525252925095,
      0.26653826543172693,
      0.2659068168848989,
      0.26528085728617945,
      0.26466033772355213,
      0.2640452096616974,
      0.26343542490923044,
      0.2628309358544374,
      0.2622316938331628,
      0.2616376389559509,
      0.2610487086308349,
      0.2604648455281141,
      0.25988599632932136,
      0.2593121107078224,
      0.258743140575084,
      0.2581790396022707,
      0.25761976273553516,
      0.2570652660595005,
      0.256515506524611,
      0.25597044186887324,
      0.25543003032563444,
      0.25489423091860053,
      0.2543630030469978,
      0.2538363065301745,
      0.25331410167888735,
      0.2527963492030065,
      0.2522830101968534,
      0.25177404617671234,
      0.2512694189671469,
      0.25076909072824594,
      0.25027302411135116,
      0.24978118203451813,
      0.2492935278153523,
      0.24881002496156474,
      0.24833063739477032,
      0.2478553294212736,
      0.24738406562774548,
      0.24691681084144226,
      0.24645353038398682,
      0.24599418975413226,
      0.24553875479478848,
      0.24508719161942308,
      0.24463946673009712,
      0.24419554689522335,
      0.24375539915545494,
      0.24331899086873612,
      0.24288628971802345,
      0.24245726356778952,
      0.24203188071533982,
      0.24161010971103392,
      0.2411919193575963,
      0.2407772786213062,
      0.24036615691241686,
      0.2399585238457584,
      0.23955434939648948,
      0.2391536036368738,
      0.23875625704642434,
      0.23836228035229576,
      0.23797164449792374,
      0.237584320663504,
      0.2372002803251047,
      0.23681949526411974,
      0.23644193742519692,
      0.23606757895265576,
      0.2356963924185337,
      0.23532835055599816,
      0.23496342631138373,
      0.23460159287145307,
      0.2342428237042551,
      0.23388709248648828,
      0.2335343730952343,
      0.23318463968941006,
      0.23283786667777986,
      0.2324940286241487,
      0.23215310034393918,
      0.23181505683638745,
      0.2314798733317432
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182883025721257,
      10.993408326806874,
      10.793855570657216,
      10.586057367102716,
      10.371854156383302,
      10.15309816639281,
      9.931429267857174,
      9.70834881004797,
      9.485263875689983,
      9.263489842855856,
      9.044225019580763,
      8.828506457158909,
      8.617185443114222,
      8.410912437929037,
      8.210134578255056,
      8.015102747405543,
      7.825886902825679,
      7.642398612463701,
      7.464417509898591,
      7.291621058873104,
      7.123608538676485,
      6.959924707466773,
      6.800082564502954,
      6.643582157412584,
      6.48992742851513,
      6.338640529743328,
      6.189272803696155,
      6.041412107286913,
      5.894697093541153,
      5.748819456595496,
      5.603519213191395,
      5.458597846139747,
      5.313929806961569,
      5.169460667477948,
      5.0251940787317375,
      4.881178709455431,
      4.737520742644771,
      4.594394243444871,
      4.45203595458832,
      4.310738375545227,
      4.170840322655879,
      4.0327099695341175,
      3.8967383933966246,
      3.763334250902203,
      3.6329117381738443,
      3.505879425075705,
      3.3826321331175992,
      3.263538124694268,
      3.1489289834058005,
      3.0390925050146835,
      2.934268253263796,
      2.8346462473489056,
      2.7403659100406528,
      2.651517032163566,
      2.5681420857111097,
      2.490234422770873,
      2.41772892777114,
      2.350516196673369,
      2.2884605346951714,
      2.231403482914036,
      2.17914124557793,
      2.1314046727939515,
      2.0878354671146413,
      2.0479948744114314,
      2.011436795541574,
      1.977711972499641,
      1.946374184991495,
      1.917006729849759,
      1.8892765903562259,
      1.8629331225932435,
      1.8377788487494078,
      1.813650270150554,
      1.7904227880742751,
      1.7680013634217506,
      1.7463079261798762,
      1.7252798421340954,
      1.7048662258620317,
      1.6850253315529495,
      1.6657220845114358,
      1.6469269401129185,
      1.6286131535495858,
      1.6107562644484137,
      1.5933338660070109,
      1.5763253537297297,
      1.5597117120283206,
      1.5434757180077392,
      1.5276020376115804,
      1.5120762597291162,
      1.496884692360474,
      1.4820144452028032,
      1.4674539171337122,
      1.4531922206320191,
      1.439218789592662,
      1.4255234592024064,
      1.4120967219014424,
      1.39892949181283,
      1.386012954879034,
      1.3733385815454273,
      1.3608981343991073,
      1.3486836710722272,
      1.3366875438805497,
      1.3249023967450018,
      1.3133211599354333,
      1.3019370435241615,
      1.2907435296657077,
      1.2797343633024758,
      1.2689035435844207,
      1.258245314214449,
      1.2477541537731607,
      1.2374248360953897,
      1.227252450697658,
      1.2172324621888198,
      1.2073606923077362,
      1.1976330661325003,
      1.1880456019457315,
      1.1785944178307692,
      1.1692757370513762,
      1.1600858908397471,
      1.1510213111617158,
      1.142078494813129,
      1.1332540348269609,
      1.1245445265284608,
      1.1159464633436533,
      1.1074564712075508,
      1.0990713417065021,
      1.0907880182349965,
      1.0826035836512704,
      1.0745152490895586,
      1.0665203446043163,
      1.0586163107947477,
      1.0508006911680698,
      1.0430714195720365,
      1.0354271787066027,
      1.0278667804891166,
      1.0203889280353973,
      1.0129922446957484,
      1.0056753021665656,
      0.9984366405631294,
      0.9912747839558894,
      0.9841882522190804,
      0.9771755701882211,
      0.9702352749143922,
      0.9633659073541221,
      0.9565660065878319,
      0.9498341405542674,
      0.9431689123677431,
      0.9365689597980288,
      0.9300329627727613,
      0.9235598215207742,
      0.9171485823810628,
      0.9107982578570154,
      0.9045078395309444,
      0.8982763082326591,
      0.8921026411908225,
      0.8859858183747551,
      0.8799248273324906,
      0.8739186664388853,
      0.8679663475321643,
      0.8620668984076785,
      0.8562193638051318,
      0.8504228065752378,
      0.8446764173189957,
      0.8389798177234667,
      0.833332652785515,
      0.8277345126938267,
      0.8221852360081036,
      0.8166847185370901,
      0.811232705688985,
      0.8058288298527341,
      0.8004726396215782,
      0.7951636218058885,
      0.7899012186817238,
      0.7846850803808508,
      0.779515062503186,
      0.7743909133596423,
      0.769312281959073,
      0.7642786642565841,
      0.7592891372438275,
      0.7543427030177465,
      0.749438457310662,
      0.7445755712005571,
      0.7397532767817651,
      0.7349708562466518,
      0.7302276331311889,
      0.7255229654491256,
      0.7208562403680909,
      0.7162268700334407,
      0.7116342884800028,
      0.7070779487090447,
      0.7025573206112433,
      0.6980718896044897,
      0.6936211549411142,
      0.6892046285969927,
      0.6848218346653141,
      0.6804724058726643,
      0.6761562579809859,
      0.6718732891161419,
      0.667623321649015,
      0.6634061217821648,
      0.6592214146894861,
      0.6550688957870008,
      0.6509486159741726,
      0.646861117633888,
      0.6428072209771137,
      0.6387875832838034,
      0.6348025620364686,
      0.6308522984536895,
      0.6269367782200268,
      0.6230558756065181,
      0.6192093860763429,
      0.6153970492292675,
      0.611618566302685,
      0.60787361210481,
      0.6041618440888518,
      0.6004829089265513,
      0.5968364473668037,
      0.5932220972665333,
      0.5896394962044769,
      0.5860882831770308,
      0.5825680996373365,
      0.5790785906696023,
      0.5756194054641449,
      0.5721903381922563,
      0.568791336339314,
      0.5654222863248719,
      0.5620830126791054,
      0.5587732964385598,
      0.5554928884196986,
      0.552241518965309,
      0.5490189051113274,
      0.5458247554772817,
      0.5426587737368044,
      0.5395206613657825,
      0.5364101196024511,
      0.533326850778468,
      0.5302705591267561,
      0.5272409516052998,
      0.5242377382041377,
      0.5212606323993109,
      0.5183093511705825,
      0.515383615346132,
      0.512483149513417,
      0.5096077966906385,
      0.5067576142339494,
      0.5039326068711187,
      0.5011327001462741,
      0.4983577640750216,
      0.49560763013799425,
      0.4928821032716981,
      0.49018097065421695,
      0.48750400767061536,
      0.4848509822998945,
      0.48222165829488756,
      0.4796157972933856,
      0.47703316045301575,
      0.47447350938668154,
      0.47193660719074526,
      0.46942221873044754,
      0.46693011107400995,
      0.464460053771675,
      0.46201181908331584,
      0.45958518192608894,
      0.45717991989846496,
      0.45479581343240544,
      0.45243266501972396,
      0.45009051758800483,
      0.44776950735685767,
      0.44546966441748875,
      0.44319094484652666,
      0.4409332530740121,
      0.4386964575759842,
      0.43648040233819946,
      0.4342849146390475,
      0.43210981073154786,
      0.4299548998004075,
      0.427819986894891,
      0.4257048747464143,
      0.42360936521506876,
      0.42153326037018174,
      0.4194763630823759,
      0.4174384775352865,
      0.4154194096345694,
      0.4134189669337102,
      0.411436958966607,
      0.40947319753124617,
      0.4075274963903574,
      0.4055996715083231,
      0.40368954113792355,
      0.40179692557955915,
      0.3999216472737699,
      0.3980635308452777,
      0.3962224029216563,
      0.3943980923359778,
      0.39259043002780836,
      0.3907992488454831,
      0.3890243836311525,
      0.3872656712068996,
      0.38552295031312067,
      0.3837960616519646,
      0.3820848478062957,
      0.3803891533404435,
      0.37870882449688215,
      0.377043709328439,
      0.37539365757876464,
      0.37375852089677675,
      0.3721381549869233,
      0.3705324720099934,
      0.36894146596773864,
      0.3673651058477063,
      0.3658033273685375,
      0.36425604295572,
      0.3627231490095796,
      0.3612045308223152,
      0.35970006630729895,
      0.35820962868096906,
      0.35673308833624523,
      0.3552703138637606,
      0.3538211731398817,
      0.3523855339776295,
      0.3509632645709897,
      0.34955423383674056,
      0.34815831160387317,
      0.34677536877864545,
      0.3454052773078679,
      0.3440479104745225,
      0.3427031428400267,
      0.34137085031652353,
      0.3400509099365115,
      0.3387432001847051,
      0.3374476007987993,
      0.33616399287834237,
      0.33489225884434176,
      0.33363228237620696,
      0.33238394841547814,
      0.3311471431596744,
      0.32992175402114116,
      0.328707669664787,
      0.3275047799856016,
      0.3263129760254992,
      0.32513215009634727,
      0.3239621955882539,
      0.32280300712400506,
      0.3216544803222473,
      0.3205165119699948,
      0.31938900002024495,
      0.31827184357975447,
      0.31716494277264556,
      0.3160681987467261,
      0.314981513618456,
      0.31390479066227217,
      0.3128379341341301,
      0.31178083331732664,
      0.310733312286502,
      0.3096951968012797,
      0.308666338314279,
      0.3076466071704818,
      0.30663588740324815,
      0.30563407317050884,
      0.304641066130698,
      0.3036567735836544,
      0.30268110705133067,
      0.30171398128074106,
      0.30075531367757535,
      0.29980502374892826,
      0.2988630326552747,
      0.2979292630471732,
      0.2970036387291672,
      0.29608608763320166,
      0.29517655426164513,
      0.2942749860341078,
      0.29338132497762637,
      0.2924955094955594,
      0.2916174754728312,
      0.29074715721870553,
      0.28988448819948787,
      0.2890294013729271,
      0.28818182949503424,
      0.28734170541250564,
      0.2865089622153547,
      0.2856835334404851,
      0.2848653529584091,
      0.28405435506451693,
      0.2832504746728476,
      0.2824536472319368,
      0.28166380878227676,
      0.2808808959898251,
      0.2801048460414906,
      0.2793355967331162,
      0.2785730864956042,
      0.2778172541047685,
      0.2770680392702358,
      0.2763253820311094,
      0.27558922319607104,
      0.27485950408593596,
      0.2741361665579638,
      0.27341915294249974,
      0.27270840621008774,
      0.2720038698352136,
      0.271305487878074,
      0.2706132049407664,
      0.2699269662143519,
      0.2692467173239453,
      0.26857240439207664,
      0.2679039740902629,
      0.26724137364142614,
      0.2665845507355701,
      0.2659334535098873,
      0.26528803065794626,
      0.2646482314005598,
      0.26401400534380237,
      0.2633853026436354,
      0.2627620739814748,
      0.2621442691682262,
      0.26153182671208236,
      0.2609246815341874,
      0.260322774158864,
      0.2597260492512856,
      0.25913445457873685,
      0.258547940249844,
      0.2579664581412027,
      0.25738996158445543,
      0.25681840505882414,
      0.2562517439003423,
      0.2556899342051455,
      0.2551329328370004,
      0.25458069724696275,
      0.2540331853328125,
      0.25349035559315597,
      0.25295216679959664,
      0.2524185782428279,
      0.251889549623721,
      0.2513650410227368,
      0.2508450129462995,
      0.25032942615882015,
      0.24981824187158022,
      0.24931142174216242,
      0.24880892773598562,
      0.24831072208999083,
      0.24781676743024977,
      0.24732702667453973,
      0.24684146320308312,
      0.2463600407255813,
      0.24588272312381315,
      0.2454094747018807,
      0.24494026013269446,
      0.2444750443166881,
      0.24401379249544505,
      0.24355647029055377,
      0.2431030435654067,
      0.24265347849140995,
      0.24220774156435482,
      0.24176579959654942,
      0.24132761978631037,
      0.24089316948343895,
      0.24046241631139223,
      0.2400353282396027,
      0.23961187358053862,
      0.2391920208990958,
      0.23877573897346993,
      0.23836299699875166,
      0.23795376427021506,
      0.23754801050309093,
      0.23714570558115017,
      0.23674681977694756,
      0.23635132359153993,
      0.2359591876838554,
      0.23557038314458834,
      0.23518488124957868,
      0.23480265351936644,
      0.23442367166503192,
      0.2340479077001402,
      0.23367533385010886,
      0.23330592264048033,
      0.23293964688448252,
      0.23257647958254768,
      0.23221639389882834,
      0.23185936338006286,
      0.23150536167934285,
      0.23115436275138215,
      0.23080634078139237,
      0.2304612702039895,
      0.23011912562110562,
      0.22977988189864182,
      0.22944351414963882,
      0.22910999762911513
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182875150863673,
      10.993371722981163,
      10.793775248523756,
      10.58592414885878,
      10.371664902179374,
      10.15285442985308,
      9.931136616140572,
      9.70801535612349,
      9.48489923821173,
      9.263104335161284,
      9.043828801087685,
      8.828109081144486,
      8.616795574350554,
      8.410537875607083,
      8.209781890343741,
      8.014777042276684,
      7.8255921361160645,
      7.642137701947484,
      7.464192437931521,
      7.291433010814351,
      7.12345819820046,
      6.959812339854813,
      6.8000082396777435,
      6.643545941522195,
      6.489929504904188,
      6.338681298920783,
      6.189353109604181,
      6.041533464641059,
      5.894861378783977,
      5.749029125868692,
      5.603777492747919,
      5.458908241252496,
      5.314296067824957,
      5.1698866383566635,
      5.025684437355704,
      4.881738908033008,
      4.738156042589004,
      4.595109610529801,
      4.4528359480162285,
      4.311627034143531,
      4.17182147694539,
      4.033787512263282,
      3.8979153256689,
      3.7646126239823783,
      3.634292618432157,
      3.507362741716042,
      3.3842165688816426,
      3.2652214533352173,
      3.1507079057550933,
      3.0409629404996927,
      2.936225683282553,
      2.8366855988510653,
      2.742481619753004,
      2.6537031408605958,
      2.570392326554333,
      2.492541165621105,
      2.4200833344796497,
      2.3529096566219097,
      2.2908846163371592,
      2.233849354849732,
      2.1815986211110934,
      2.133861941910161,
      2.0902790117901042,
      2.05041137222234,
      2.0138138109020933,
      1.9800384638312978,
      1.9486408855460824,
      1.9192066120338942,
      1.8914046527129758,
      1.8649858438898799,
      1.839753963055998,
      1.8155461382294653,
      1.7922376731358698,
      1.7697344887516888,
      1.7479590127125035,
      1.726848835157403,
      1.7063531073652718,
      1.6864303422167775,
      1.6670453042693485,
      1.6481686267205353,
      1.6297739678903502,
      1.6118371405048324,
      1.5943359392568233,
      1.5772499056527844,
      1.5605601259669264,
      1.5442491017393971,
      1.5283012024806664,
      1.5127021746728726,
      1.4974384413348638,
      1.4824970748815924,
      1.4678659574156543,
      1.4535341920071807,
      1.4394913676857555,
      1.4257274309646253,
      1.4122329520510424,
      1.398998913554586,
      1.3860165486792853,
      1.3732773577669501,
      1.3607731196246802,
      1.3484958968253755,
      1.3364380378249858,
      1.324592175629619,
      1.3129512243157289,
      1.3015083736807918,
      1.290257082395977,
      1.2791910703301483,
      1.2683043098924056,
      1.2575910167422888,
      1.2470456408711466,
      1.2366629213114038,
      1.2264379183760734,
      1.216366082789434,
      1.2064432159159637,
      1.1966652167305216,
      1.1870280775636182,
      1.1775278913797427,
      1.1681608567626751,
      1.1589232727225178,
      1.149811503716886,
      1.140822011581715,
      1.1319513523066886,
      1.1231959762599488,
      1.1145523511687754,
      1.1060171201387339,
      1.0975870861780384,
      1.0892591997749053,
      1.0810305471505264,
      1.072898340118157,
      1.0648599069530866,
      1.05691275203604,
      1.049055151152283,
      1.0412857953049277,
      1.0336032673316662,
      1.0260060725693738,
      1.018492664694725,
      1.0110614679274574,
      1.0037108929451297,
      0.9964393493439628,
      0.9892452546774461,
      0.9821270419805116,
      0.9750831651410033,
      0.9681121031563822,
      0.9612123482358474,
      0.9543823996494714,
      0.9476207931420106,
      0.9409261046185482,
      0.9342969493413984,
      0.9277321118041632,
      0.9212305833621622,
      0.9147913495728108,
      0.908413373780683,
      0.9020956074996114,
      0.8958369984301449,
      0.8896364966935107,
      0.8834930600635427,
      0.8774056575008589,
      0.8713732718670881,
      0.8653949021856531,
      0.8594695651543605,
      0.8535962962227799,
      0.8477744376648693,
      0.8420036418421077,
      0.8362834812634465,
      0.8306135676199642,
      0.8249937882322146,
      0.8194239522630764,
      0.8139037336801865,
      0.8084327047285358,
      0.8030103628576168,
      0.7976361508637881,
      0.792309609828071,
      0.7870305656604779,
      0.7817987838222834,
      0.7766139193653949,
      0.7714755462487809,
      0.7663831529513726,
      0.7613358492508906,
      0.7563325579813662,
      0.7513723108006016,
      0.74645422637507,
      0.7415774934787732,
      0.736741357880469,
      0.7319451123777329,
      0.727188088528729,
      0.722469650571417,
      0.7177891904981932,
      0.7131461243253334,
      0.7085398888120945,
      0.7039699389778865,
      0.6994357464889355,
      0.6949367977922181,
      0.6904725932143881,
      0.6860426536616477,
      0.681646757986059,
      0.6772848395103447,
      0.6729567433189914,
      0.6686622491253519,
      0.6644010886315449,
      0.6601729586668215,
      0.6559777365066454,
      0.6518158608880115,
      0.6476880988735024,
      0.6435952099252175,
      0.6395376209893548,
      0.6355155197260752,
      0.6315289217723798,
      0.6275777192856121,
      0.6236617167389114,
      0.619780656723425,
      0.6159342388366081,
      0.6121221332421906,
      0.6083439906224356,
      0.6045994492406047,
      0.6008881404851504,
      0.5972096921748101,
      0.5935637313921045,
      0.5899498864723322,
      0.5863677881811217,
      0.5828170709753305,
      0.579297373206811,
      0.5758083927034423,
      0.5723500463262793,
      0.5689222470660228,
      0.5655248355756899,
      0.56215760178606,
      0.5588203003047305,
      0.5555126616347362,
      0.5522344002155569,
      0.5489852202293379,
      0.5457648196996582,
      0.5425728936861417,
      0.5394091362286564,
      0.5362732421680695,
      0.5331649081116119,
      0.530083833081452,
      0.5270297191287602,
      0.5240022718131606,
      0.5210012004240635,
      0.5180262179180841,
      0.51507704126031,
      0.5121534946202692,
      0.5092556307828977,
      0.5063834556099576,
      0.5035368932189507,
      0.5007158105958031,
      0.4979200349294018,
      0.49514936616857574,
      0.4924035859885794,
      0.48968246401184473,
      0.4869857621942841,
      0.48431323813068633,
      0.4816646472900974,
      0.47903974477414507,
      0.476438286223539,
      0.4738600286393026,
      0.4713047309427204,
      0.46877215430330404,
      0.4662620624637467,
      0.4637742218856953,
      0.4613084018447517,
      0.45886437455085116,
      0.4564419150663323,
      0.45404084761147695,
      0.45166125375748245,
      0.44930325008975197,
      0.4469668514396681,
      0.4446520013978637,
      0.4423585939634019,
      0.44008648890611346,
      0.4378355223964658,
      0.4356055146960801,
      0.4333962756730354,
      0.4312076086959097,
      0.4290393132002235,
      0.4268911867250626,
      0.42476302609638245,
      0.4226546284739728,
      0.42056579206217004,
      0.41849631648680297,
      0.41644600306938223,
      0.41441465507565767,
      0.41240207781233157,
      0.41040807869978063,
      0.4084324674483761,
      0.4064750559321455,
      0.40453565829360655,
      0.4026140908988972,
      0.40071017234664397,
      0.3988237234287934,
      0.3969545670690565,
      0.3951025284423272,
      0.39326743479228055,
      0.3914491152773489,
      0.3896474013279322,
      0.38786212634608086,
      0.3860931256116572,
      0.3843402364711037,
      0.3826032981988998,
      0.3808821519128655,
      0.3791766406452567,
      0.37748660928980504,
      0.37581190460282815,
      0.3741523750547344,
      0.3725078708629867,
      0.3708782504106367,
      0.36926346222731365,
      0.3676634988003141,
      0.3660783166494505,
      0.36450784208850145,
      0.36295198065963313,
      0.361410623308756,
      0.35988365118173826,
      0.3583709389323097,
      0.3568723570877789,
      0.3553877735825438,
      0.3539170551271408,
      0.35246006793422086,
      0.3510166782618901,
      0.349586752980412,
      0.34817015957897635,
      0.34676676655406535,
      0.3453764435699416,
      0.34399906157085,
      0.34263449261529283,
      0.34128261022161815,
      0.33994328915666383,
      0.3386164054564023,
      0.337301836576276,
      0.33599946131587066,
      0.3347091597466122,
      0.3334308132441771,
      0.3321643045492987,
      0.3309095176284058,
      0.3296663377279112,
      0.3284346513677468,
      0.32721434628740853,
      0.326005311483555,
      0.32480743720039795,
      0.3236206147700101,
      0.3224447367355557,
      0.3212796967734533,
      0.32012538978424865,
      0.3189817117319025,
      0.3178485596640318,
      0.31672583184907466,
      0.31561342762446837,
      0.31451124734890495,
      0.31341919238302457,
      0.3123371442441399,
      0.3112649162079436,
      0.3102023326113564,
      0.3091492433005116,
      0.3081055166746446,
      0.3070710347823827,
      0.30604568963781953,
      0.3050293807052329,
      0.3040220130715622,
      0.30302349603375756,
      0.3020337422221396,
      0.30105266673542314,
      0.30008018684388627,
      0.2991162215851877,
      0.29816069134071105,
      0.2972135176957893,
      0.2962746234820023,
      0.2953439414842484,
      0.29442141886479767,
      0.2935069993470896,
      0.2926006218774776,
      0.29170222220487063,
      0.29081173400218757,
      0.2899290895978631,
      0.2890542205872981,
      0.2881870583393901,
      0.28732753410677603,
      0.28647557927548584,
      0.285631125639503,
      0.284794105294958,
      0.28396445070026244,
      0.28314209491495346,
      0.28232697164970993,
      0.28151901514008915,
      0.280718160199567,
      0.2799243422746968,
      0.2791374974382132,
      0.27835756237143305,
      0.2775844742977147,
      0.2768181710444431,
      0.2760585910687253,
      0.27530567334529105,
      0.2745593575866123,
      0.27381958403264783,
      0.27308629344577523,
      0.2723594271839049,
      0.2716389271351498,
      0.27092473576876014,
      0.27021679613716343,
      0.2695150518540423,
      0.26881944703611577,
      0.26812992632288973,
      0.26744643497449927,
      0.2667689187040766,
      0.26609732376623896,
      0.2654315968815748,
      0.26477168535387224,
      0.26411753690877215,
      0.26346909985230416,
      0.2628263229257244,
      0.2621891553525816,
      0.2615575369665851,
      0.2609313996974829,
      0.2603106807850308,
      0.25969532209298857,
      0.2590852688058518,
      0.25848046879924286,
      0.2578808720203768,
      0.25728642979959593,
      0.2566970947649595,
      0.25611282051970335,
      0.25553356153942647,
      0.2549592729197216,
      0.2543899105459167,
      0.25382543066728636,
      0.2532657901471645,
      0.25271094635854363,
      0.25216085708165337,
      0.2516154805173725,
      0.2510747752765375,
      0.2505387004342976,
      0.2500072153315053,
      0.24948027974599843,
      0.2489578538745214,
      0.2484398982905072,
      0.24792637395410003,
      0.2474172420963603,
      0.24691246430765648,
      0.24641200255116608,
      0.2459158191521003,
      0.2454238767881071,
      0.24493613849358267,
      0.24445256767810172,
      0.24397312794232373,
      0.24349778330190547,
      0.24302649810714844,
      0.24255923702768048,
      0.24209596503815003,
      0.2416366474684595,
      0.24118124991554407,
      0.24072973828287828,
      0.2402820788087545,
      0.23983823798080986,
      0.23939818264251425,
      0.23896187992259918,
      0.23852929733099698,
      0.2381004026015363,
      0.2376751637136951,
      0.23725354892769893,
      0.23683552687155546,
      0.23642106638770063,
      0.2360101366348596,
      0.2356027070381871,
      0.23519874730406196,
      0.23479822737223113,
      0.23440111753402842,
      0.23400738834860627,
      0.23361701050881895,
      0.2332299551530481,
      0.23284619352979052,
      0.23246569717147392,
      0.2320884378146429,
      0.23171438748654596,
      0.2313435185543896,
      0.2309758035340758,
      0.230611215255824,
      0.23024972668718896,
      0.22989131118929745,
      0.2295359422145804,
      0.22918359356476414,
      0.22883423921733903,
      0.22848785335633964,
      0.22814441040378058,
      0.22780388502652757,
      0.22746625204225615,
      0.22713148659316143,
      0.22679956402804008
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182867282109603,
      10.993335057002298,
      10.793694684106773,
      10.585790389492416,
      10.37147469324129,
      10.152609248140111,
      9.93084207656739,
      9.707679545022344,
      9.484531748320318,
      9.262715549182944,
      9.043428930332544,
      8.82770771477244,
      8.616401394135591,
      8.41015856598053,
      8.20942387891373,
      8.014445473358897,
      7.825290997209021,
      7.64186993881568,
      7.463960047252281,
      7.291237174842805,
      7.123299596934435,
      6.95969124705968,
      6.799924735332259,
      6.643500094952529,
      6.489921496951788,
      6.338711521948449,
      6.189422389778038,
      6.041643301022308,
      5.895013633036683,
      5.749226228496853,
      5.604022632009044,
      5.459204879558745,
      5.314647908702556,
      5.170297402462378,
      5.026158491583247,
      4.882281618794976,
      4.73877258942587,
      4.595804884773224,
      4.453614442324395,
      4.312492730881216,
      4.172778146307801,
      4.034839008425403,
      3.899064640840933,
      3.7658618128012398,
      3.6356427631659525,
      3.5088138063930074,
      3.3857672940105603,
      3.266869678917948,
      3.1524504802880697,
      3.042795921181625,
      2.938144658528988,
      2.838685575060218,
      2.74455711657371,
      2.6558482841859936,
      2.5726008977217845,
      2.494805588878313,
      2.4223948781008064,
      2.355259848632496,
      2.2932651616684976,
      2.236251525449968,
      2.184012256491486,
      2.1362755757716085,
      2.092679191083036,
      2.0527849361535413,
      2.0161484307662785,
      1.9823231925316749,
      1.9508665562022591,
      1.9213663121797,
      1.8934934778784798,
      1.8670003536360633,
      1.8416919489498886,
      1.817406135229537,
      1.7940180409733855,
      1.771434507424628,
      1.7495784455916306,
      1.7283876630685624,
      1.707811556209868,
      1.687808628783711,
      1.668343716290311,
      1.6493873481271824,
      1.6309135956813383,
      1.612898565319599,
      1.5953202560092712,
      1.5781583578024647,
      1.561394060770035,
      1.54500989162645,
      1.5289897758418036,
      1.513319398236362,
      1.4979853111451735,
      1.4829746793732281,
      1.468275259578261,
      1.453875666734604,
      1.4397655460405752,
      1.425934975266253,
      1.4123746189741677,
      1.3990755434240136,
      1.386029041587811,
      1.373226654561101,
      1.3606601859103433,
      1.3483217106361884,
      1.3362035798656695,
      1.3242984214139106,
      1.3125991378229391,
      1.3010989026136663,
      1.289791154563639,
      1.2786695909347052,
      1.2677281595501397,
      1.256961050223711,
      1.2463626863414623,
      1.2359277742076582,
      1.2256513460779426,
      1.2155288360071441,
      1.2055560248249642,
      1.1957287872530296,
      1.1860430914949287,
      1.1764950066369928,
      1.1670807009315827,
      1.1577964080050889,
      1.1486384572816386,
      1.1396033000769161,
      1.130687383013539,
      1.121887054219648,
      1.113198800100207,
      1.1046192765847815,
      1.0961452950810169,
      1.0877738102472554,
      1.0795019094482865,
      1.0713268033017176,
      1.0632462296142506,
      1.055258632344576,
      1.0473624598781157,
      1.0395560870397391,
      1.0318378384624052,
      1.0242060104791688,
      1.0166588893957864,
      1.0091947637438743,
      1.0018119337509002,
      0.9945087185632191,
      0.9872834621107531,
      0.9801345372284329,
      0.973060348153946,
      0.9660593328934642,
      0.9591299486315875,
      0.9522706660511862,
      0.9454799971926512,
      0.9387564982036605,
      0.9320988298614317,
      0.9255059174942949,
      0.9189767196349743,
      0.9125101710424736,
      0.9061051933054779,
      0.8997607037325003,
      0.8934756220439805,
      0.8872488752412722,
      0.8810794018902078,
      0.8749661550190857,
      0.8689081041515874,
      0.8629042370445018,
      0.8569536116952388,
      0.851055686980423,
      0.845210077053428,
      0.8394162917206075,
      0.8336740056142413,
      0.8279830868782893,
      0.822343272322177,
      0.816754174500264,
      0.8112153135546128,
      0.8057261418705514,
      0.800286113536788,
      0.7948949668416714,
      0.7895524992280432,
      0.7842583820114173,
      0.7790121941259872,
      0.7738134473536428,
      0.7686616057558897,
      0.7635558498849195,
      0.7584950614089111,
      0.7534782035937215,
      0.7485043390943646,
      0.743572610424946,
      0.7386822250030519,
      0.7338324430029185,
      0.7290225681914347,
      0.7242519406566467,
      0.7195199311573777,
      0.7148259366995463,
      0.7101693769979086,
      0.7055496917144836,
      0.7009663382132634,
      0.6964187897247549,
      0.6919065340445992,
      0.6874291516514585,
      0.6829865245696232,
      0.6785785340044396,
      0.6742049831786404,
      0.6698656178620136,
      0.6655601416835809,
      0.6612882970733781,
      0.6570503419492405,
      0.6528469468866345,
      0.6486789345604757,
      0.6445468399377747,
      0.6404509247537419,
      0.6363912540392933,
      0.6323677520240225,
      0.6283802426952543,
      0.6244284785686353,
      0.6205121627959996,
      0.6166309644221363,
      0.6127845296879902,
      0.6089724901014556,
      0.6051944683959527,
      0.601450082853262,
      0.5977389503615218,
      0.5940606884729603,
      0.5904149170787494,
      0.5868012592752035,
      0.5832193424675953,
      0.5796687987743014,
      0.5761494457721357,
      0.5726612290959797,
      0.5692040141482971,
      0.5657776057619051,
      0.5623817665346693,
      0.5590162298918571,
      0.5556807098274237,
      0.5523749073800647,
      0.5490985157236546,
      0.5458512238375359,
      0.5426327190237962,
      0.5394426886105557,
      0.5362808214075665,
      0.5331468084101565,
      0.530040343644903,
      0.5269611246517156,
      0.5239088524259159,
      0.5208832319407115,
      0.5178839722846486,
      0.5149108554614675,
      0.5119639188922641,
      0.5090431792588003,
      0.5061485660944387,
      0.5032799478634655,
      0.5004371510021788,
      0.4976199727489877,
      0.494828190759306,
      0.4920615698932963,
      0.48931986683533657,
      0.4866028334774527,
      0.483910219358106,
      0.4812417734192381,
      0.47859724518980257,
      0.4759763855270893,
      0.4733789472753279,
      0.47080468553808524,
      0.46825335815165947,
      0.4657247257501445,
      0.46321855170277537,
      0.46073460240730507,
      0.4582726472275587,
      0.455832515958131,
      0.45341430490085616,
      0.4510181231331922,
      0.4486439783523834,
      0.4462918076026365,
      0.44396149865941015,
      0.44165290515316996,
      0.43936585744435697,
      0.43710017025388637,
      0.43485564801824456,
      0.4326320887244521,
      0.43042928669750036,
      0.4282470342223579,
      0.4260851233299093,
      0.42394334632779623,
      0.4218214965546416,
      0.4197193689529955,
      0.4176367603104413,
      0.41557346934853384,
      0.41352929678633304,
      0.4115040458125965,
      0.4094975218480536,
      0.40750953256438927,
      0.40553988793088525,
      0.4035884001879055,
      0.40165488392443627,
      0.39973915600622417,
      0.39784103545628946,
      0.39596034354160775,
      0.3940969035833357,
      0.3922505412019193,
      0.3904210840573653,
      0.3886083618720538,
      0.38681220650767645,
      0.38503245181629153,
      0.38326893352044616,
      0.3815214893500835,
      0.3797899590047095,
      0.37807418404245857,
      0.3763740080014969,
      0.37468927614298986,
      0.37301983555294954,
      0.37136553514593706,
      0.36972625301008394,
      0.3681019676742753,
      0.36649264842288054,
      0.3648982336156052,
      0.3633186439618891,
      0.3617537816047388,
      0.3602035349121092,
      0.35866778265416444,
      0.3571463975071429,
      0.355639248208793,
      0.3541462011629372,
      0.3526671215491756,
      0.3512018739932057,
      0.3497503234867587,
      0.34831233554326,
      0.34688777642922247,
      0.34547651352346587,
      0.34407841529604966,
      0.3426933515182676,
      0.3413211932462643,
      0.3399618127305608,
      0.33861508363354836,
      0.33728088104621134,
      0.33595908138121067,
      0.33464956229417964,
      0.3333522028621246,
      0.33206688344732643,
      0.33079348564028427,
      0.32953189247264797,
      0.3282819882012458,
      0.32704365841294214,
      0.3258167899803373,
      0.32460127086757484,
      0.32339699025702706,
      0.32220383857705975,
      0.3210217075581128,
      0.3198504899619166,
      0.3186900798342704,
      0.31754037229070126,
      0.3164012634955218,
      0.315272650834274,
      0.3141544327586061,
      0.31304649071781937,
      0.31194863731868394,
      0.3108606900784164,
      0.309782493204599,
      0.3087139103779187,
      0.307654819438797,
      0.3066051088046623,
      0.3055646746505888,
      0.3045334189573233,
      0.30351124819061776,
      0.3024980722253163,
      0.3014938035992285,
      0.30049835708122824,
      0.29951164919612744,
      0.29853359797141915,
      0.2975641227395741,
      0.2966031439445652,
      0.29565058325706,
      0.294706378180575,
      0.2937704755531598,
      0.2928428159589983,
      0.291923335787395,
      0.2910119684725966,
      0.2901086457348948,
      0.2892132981656076,
      0.2883258557310086,
      0.2874462481968758,
      0.2865744052083161,
      0.28571025668632744,
      0.28485373297069294,
      0.2840047648363557,
      0.2831632835364709,
      0.2823292208339797,
      0.2815025091234257,
      0.28068308145301457,
      0.2798708715103511,
      0.2790658133555905,
      0.2782678417790124,
      0.27747689231722167,
      0.27669290102985244,
      0.27591580458339987,
      0.27514554029846156,
      0.27438204618631507,
      0.2736252606952115,
      0.2728751228774657,
      0.27213157244407077,
      0.2713945496940936,
      0.2706639954839136,
      0.26993985128762565,
      0.2692220591317809,
      0.26851056159554354,
      0.2678053016981224,
      0.26710622309286325,
      0.26641326995790976,
      0.26572638705389856,
      0.26504551970750695,
      0.2643706136436176,
      0.2637016152643164,
      0.2630384713829588,
      0.26238112926492013,
      0.26172953350336287,
      0.26108361568078253,
      0.26044330816863265,
      0.259808548829534,
      0.2591792795340918,
      0.25855544517596984,
      0.25793699314357355,
      0.25732387254640593,
      0.25671603386745717,
      0.25611342863306175,
      0.25551600954489184,
      0.25492372992879436,
      0.25433654382198034,
      0.25375440599905225,
      0.25317727161892517,
      0.2526050963692987,
      0.2520378363963304,
      0.2514754484271572,
      0.2509178895122333,
      0.25036511720160115,
      0.24981708941732672,
      0.24927376440357274,
      0.24873510089424924,
      0.2482010578618836,
      0.24767159487856105,
      0.2471466717787619,
      0.2466262487303283,
      0.24611028631934295,
      0.245598745458136,
      0.2450915875870493,
      0.24458877434380455,
      0.24409026772948306,
      0.24359603016140005,
      0.2431060243491901,
      0.24262021332454806,
      0.2421385603830037,
      0.2416610292046849,
      0.24118758390016326,
      0.24071818879032775,
      0.2402528085689918,
      0.23979140832664114,
      0.23933395338469887,
      0.23888040933419152,
      0.23843074218983482,
      0.23798491815107492,
      0.2375429038219177,
      0.23710466605048636,
      0.23667017202369509,
      0.2362393892486403,
      0.23581228545897767,
      0.2353888286617646,
      0.23496898722353524,
      0.2345527297539933,
      0.234140025143397,
      0.23373084253701548,
      0.2333251514125167,
      0.23292292153111518,
      0.23252412287708063,
      0.23212872567439133,
      0.23173670049315606,
      0.23134801812828468,
      0.23096264965708177,
      0.23058056643434308,
      0.23020174001180915,
      0.22982614222405706,
      0.22945374518591155,
      0.22908452118946582,
      0.22871844274144348,
      0.22835548267761746,
      0.22799561413857083,
      0.22763881040651834,
      0.2272850449971118,
      0.2269342916758209,
      0.22658652441138552,
      0.2262417175464542,
      0.22589984546037084,
      0.2255608829195887,
      0.2252248048056255,
      0.22489158626346542,
      0.22456120263455712
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182859424240137,
      10.993298362341243,
      10.793613964076952,
      10.585656245580847,
      10.371283765437456,
      10.152362935777735,
      9.930546023843805,
      9.707341839846176,
      9.48416204034969,
      9.262324307778801,
      9.043026382628032,
      8.827303453263882,
      8.616004095729059,
      8.409775845705898,
      8.209062142814275,
      8.014109863627002,
      7.824985499898748,
      7.641597498557445,
      7.463722654679773,
      7.291035993142538,
      7.123135289158555,
      6.959564083559357,
      6.799834796235924,
      6.643447447382503,
      6.489906314763466,
      6.338734185457057,
      6.1894837074822044,
      6.041744759017214,
      5.895157078507192,
      5.749414069182847,
      5.604258022559992,
      5.459491242614659,
      5.314988903328511,
      5.170696688389457,
      5.02662013145514,
      4.8828107387851265,
      4.739374309415621,
      4.596484039729755,
      4.454375474755137,
      4.313339581174205,
      4.173714209568848,
      4.035867820696932,
      3.900189241767234,
      3.7670843140541894,
      3.6369643145589037,
      3.510234454509983,
      3.3872858813973554,
      3.268484155701488,
      3.154157910116174,
      3.0445926130639185,
      2.94002630614705,
      2.8406472919155905,
      2.7465935296373476,
      2.657953626373128,
      2.5747687097785095,
      2.497028096107377,
      2.4246635243502395,
      2.357566333823824,
      2.2956013589530224,
      2.238608871298808,
      2.18638077621194,
      2.1386440029234484,
      2.095034292381384,
      2.055113760714164,
      2.0184388382858947,
      1.9845644005381675,
      1.9530495358402207,
      1.9234842675532806,
      1.8955416013684419,
      1.8689752854345496,
      1.8435915374461576,
      1.8192291653444037,
      1.79576307606998,
      1.7731008263933965,
      1.751165935525811,
      1.7298963838654449,
      1.7092416910034354,
      1.689160363765433,
      1.6696173605923323,
      1.6505830610417813,
      1.6320319372653347,
      1.6139404015888805,
      1.5962866562792548,
      1.5790505392291796,
      1.5622133443145505,
      1.5457576669591837,
      1.52966727096828,
      1.5139274395809914,
      1.4985248153399227,
      1.483446666300989,
      1.4686808211606264,
      1.4542156523946699,
      1.4400404033680974,
      1.426145238930117,
      1.4125209350805479,
      1.3991586571421863,
      1.3860497708234958,
      1.3731858688437142,
      1.3605587888516497,
      1.3481606264011954,
      1.3359837416541995,
      1.3240207626457943,
      1.312264585346843,
      1.3007083710562137,
      1.2893455419026405,
      1.2781697754313923,
      1.2671749972610524,
      1.2563553738395,
      1.2457053039142023,
      1.2352194624625417,
      1.2248928551778115,
      1.21472089736984,
      1.2046993494811022,
      1.1948240635838407,
      1.1850909851864133,
      1.1754961562289283,
      1.1660356833046173,
      1.1567057624644097,
      1.147502712150085,
      1.138422943894135,
      1.1294627608854517,
      1.120618486312355,
      1.1118866218682628,
      1.1032638333826568,
      1.094746938042588,
      1.0863328928644644,
      1.0780189191184935,
      1.0698030422081237,
      1.0616835555285378,
      1.053658682300507,
      1.0457266019152436,
      1.037885468261333,
      1.0301334285759791,
      1.0224686367579388,
      1.014889262652775,
      1.0073934998307092,
      0.9999795711717362,
      0.992645732330522,
      0.9853902748807086,
      0.978211528291269,
      0.9711078610556649,
      0.9640776813439264,
      0.957119420707597,
      0.9502315283283329,
      0.9434124984041032,
      0.9366608969982617,
      0.9299755366466276,
      0.9233553494411553,
      0.9167992415490374,
      0.9103061047132914,
      0.9038748254649517,
      0.8975042922293979,
      0.8911934009583374,
      0.8849410590500733,
      0.8787461885389457,
      0.8726077284137199,
      0.8665246365841714,
      0.8604960115413834,
      0.8545213968927846,
      0.8486003425166552,
      0.8427323211259042,
      0.8369170477979788,
      0.8311543515562712,
      0.8254439071926969,
      0.8197852742421861,
      0.8141779270693773,
      0.808621277680225,
      0.8031149242558321,
      0.7976586784613697,
      0.7922522421878756,
      0.7868952096090044,
      0.7815870964293811,
      0.7763273619800427,
      0.7711154263048272,
      0.7659505744030666,
      0.7608316854045659,
      0.7557576485232046,
      0.7507274663340849,
      0.7457402319450277,
      0.7407951113282488,
      0.7358913299028882,
      0.7310281618109642,
      0.7262049215546047,
      0.7214209574410972,
      0.7166756466683928,
      0.7119683909700859,
      0.707298613828847,
      0.7026657576751719,
      0.6980692819048817,
      0.6935086612025201,
      0.6889835780432475,
      0.6844939345887927,
      0.6800395693553487,
      0.6756202505732049,
      0.6712356950500534,
      0.6668855822406429,
      0.6625699149095597,
      0.6582892073881658,
      0.6540442649703585,
      0.649835775689876,
      0.6456641076801709,
      0.6415293989977443,
      0.6374316225615595,
      0.633370633309299,
      0.6293462024435801,
      0.6253580425851365,
      0.6214058257411809,
      0.6174891965602748,
      0.6136077817043607,
      0.6097611966381628,
      0.6059490507744366,
      0.6021709510928953,
      0.5984265044741424,
      0.5947153196979886,
      0.5910370088587341,
      0.5873911878210359,
      0.5837774771693838,
      0.5801955576185271,
      0.5766453350985857,
      0.5731267145938598,
      0.5696395265176559,
      0.5661835491664878,
      0.5627585243403417,
      0.5593641691342006,
      0.556000184090617,
      0.5526662592923172,
      0.5493620788470978,
      0.546087323907944,
      0.5428416747210143,
      0.5396248123965529,
      0.5364364200269083,
      0.5332761834614593,
      0.5301437917920657,
      0.5270389377802945,
      0.5239613180251464,
      0.5209106332277547,
      0.5178866226077986,
      0.5148892673367298,
      0.5119186069404195,
      0.508974584734045,
      0.5060570769320992,
      0.5031659129596295,
      0.5003008903769083,
      0.4974617848994038,
      0.49464835768456095,
      0.4918603607237367,
      0.4890975408157435,
      0.48635964183093267,
      0.48364640664697656,
      0.4809575788146753,
      0.4782929029669879,
      0.4756521256527849,
      0.47303499583463443,
      0.47044126518021195,
      0.4678706881488202,
      0.46532302205072434,
      0.4627980273358424,
      0.46029546752637385,
      0.45781516110674164,
      0.4553571944878996,
      0.4529216815685444,
      0.4505086317702318,
      0.44811798154880245,
      0.4457496165529868,
      0.4434033872625238,
      0.4410791201955066,
      0.43877662579279514,
      0.43649570392229003,
      0.4342361478372821,
      0.43199774698424176,
      0.4297802890007444,
      0.42758356091042515,
      0.4254073501305321,
      0.4232514452193212,
      0.4211156363147277,
      0.4189997154957115,
      0.41690347676209205,
      0.414826716370721,
      0.41276923286798306,
      0.41073082720072784,
      0.408711302676756,
      0.40671046495378055,
      0.40472812203041203,
      0.40276408431672306,
      0.4008181645039968,
      0.39889017759055617,
      0.39697994083379123,
      0.3950872737312372,
      0.39321199787702715,
      0.391353937126848,
      0.38951291746087147,
      0.3876887669770455,
      0.38588131578571855,
      0.38409039618740404,
      0.3823158424213021,
      0.3805574906715254,
      0.3788151791016018,
      0.3770887476887138,
      0.3753780383662724,
      0.37368289499139407,
      0.37200316323984567,
      0.37033869060557933,
      0.3686893839154842,
      0.3670552280877546,
      0.3654361807775309,
      0.3638321680045546,
      0.36224309501484364,
      0.3606688592283094,
      0.3591093487023845,
      0.3575644418071462,
      0.3560340103979448,
      0.35451792229996654,
      0.35301604283373383,
      0.35152823599825733,
      0.35005436549395785,
      0.34859429510600604,
      0.34714788913606265,
      0.3457150126810062,
      0.34429553188677114,
      0.34288931400000705,
      0.34149622762499726,
      0.3401161426017839,
      0.33874893016650043,
      0.33739446283482943,
      0.3360526145427147,
      0.3347232605098006,
      0.33340627741172796,
      0.33210154328818015,
      0.33080893742869144,
      0.3295283404396589,
      0.32825963433952243,
      0.32700270237772844,
      0.3257574290854047,
      0.3245237002529261,
      0.32330140293583887,
      0.32209042541304495,
      0.3208906571098226,
      0.3197019887398573,
      0.31852431215786825,
      0.3173575205080034,
      0.3162015079298076,
      0.3150561697377098,
      0.3139213949864091,
      0.312797007857147,
      0.3116828128446576,
      0.3105786441556831,
      0.30948435750017744,
      0.3083998243435058,
      0.30732492774283854,
      0.3062595593191601,
      0.3052036172016445,
      0.3041570043006153,
      0.3031196272583938,
      0.30209139565514587,
      0.30107222131368966,
      0.3000620180822992,
      0.2990607013315781,
      0.29806818783800415,
      0.29708439564612427,
      0.29610924396038607,
      0.2951426549984176,
      0.29418456792856906,
      0.29323492710945503,
      0.2922936710236333,
      0.29136073404896434,
      0.2904360478574457,
      0.28951954230683286,
      0.2886111462358259,
      0.2877107881021381,
      0.28681839622402694,
      0.2859338988807302,
      0.28505722450143023,
      0.28418830205747125,
      0.28332706092165927,
      0.282473431008338,
      0.28162734287713354,
      0.2807887275581359,
      0.2799575167730282,
      0.2791336428528137,
      0.2783170386064118,
      0.27750763768680525,
      0.2767053743871768,
      0.27591018362985864,
      0.27512200098268796,
      0.2743407625372795,
      0.27356640499242874,
      0.27279886566284656,
      0.272038082515448,
      0.27128399416943055,
      0.2705365398218472,
      0.26979565927696153,
      0.2690612928502399,
      0.26833338136279355,
      0.267611866315484,
      0.2668966898872093,
      0.26618779466813236,
      0.26548512380118416,
      0.26478862097272543,
      0.2640982304428408,
      0.2634138971031996,
      0.26273556634606193,
      0.26206318394752876,
      0.26139668904601043,
      0.2607360098638921,
      0.26008107846168166,
      0.2594318321705236,
      0.2587882121456726,
      0.2581501624941057,
      0.25751762950184787,
      0.2568905611746794,
      0.25626890696327753,
      0.2556526173406488,
      0.25504164367604076,
      0.2544359380608142,
      0.25383545340420605,
      0.2532401431120382,
      0.25264996103418724,
      0.25206486174446774,
      0.2514848002883996,
      0.25090973211095413,
      0.25033961313812614,
      0.2497743997456347,
      0.24921404867824457,
      0.24865851709758668,
      0.24810776255483039,
      0.24756174299034117,
      0.2470204167726593,
      0.24648374272623458,
      0.24595167994424977,
      0.245424187958803,
      0.24490122670903924,
      0.24438275640849988,
      0.2438687377573182,
      0.24335913160868508,
      0.24285389927219012,
      0.24235300244927943,
      0.24185640323434127,
      0.24136406391300516,
      0.24087594728294573,
      0.2403920164801342,
      0.23991223481929289,
      0.23943656600344043,
      0.23896497418228613,
      0.2384974237705487,
      0.2380338795214481,
      0.23757430642343436,
      0.23711866981372523,
      0.2366669354042604,
      0.23621906910515078,
      0.2357750372688114,
      0.235334806541162,
      0.23489834375200216,
      0.23446561603513827,
      0.2340365909111122,
      0.2336112361806622,
      0.2331895199972578,
      0.23277141069911186,
      0.23235687681993128,
      0.23194588736746988,
      0.23153841150575155,
      0.23113441873420063,
      0.2307338788514147,
      0.23033676189484628,
      0.2299430381318676,
      0.22955267814088767,
      0.22916565272812803,
      0.228781932908938,
      0.22840149008035998,
      0.22802429585184827,
      0.22765032214373818,
      0.2272795410706485,
      0.2269119249526676,
      0.22654744642911448,
      0.2261860782680818,
      0.22582779360901656,
      0.2254725657611578,
      0.22512036830820553,
      0.22477117502293395,
      0.2244249599987584,
      0.22408169748983436,
      0.22374136189186095,
      0.22340392799029118,
      0.22306937076475133,
      0.22273766534684128,
      0.2224087870802325
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.18285158722435,
      10.993261705227491,
      10.793533253331924,
      10.58552200831486,
      10.371092554267987,
      10.15211573241168,
      9.93024852842932,
      9.70700219691038,
      9.483789987285551,
      9.261930393248505,
      9.042620863211335,
      8.826895940295826,
      8.615603278682045,
      8.40938930306321,
      8.208696245721859,
      8.013769765470311,
      7.8246751958241685,
      7.641319941837732,
      7.463479838736399,
      7.290829074860397,
      7.122964926182173,
      6.9594305501004206,
      6.799738180407791,
      6.643387819765771,
      6.4898838493819975,
      6.338749259167371,
      6.18953712015548,
      6.0418379896522465,
      5.895291964754931,
      5.7495930021287105,
      5.6044841336840845,
      5.45976792611269,
      5.315319784309924,
      5.171085380518548,
      5.027070561700909,
      4.883327893316132,
      4.73996325205945,
      4.597149552929704,
      4.455121952738374,
      4.31417092180904,
      4.174633710544916,
      4.036878938906111,
      3.9012950162992106,
      3.7682868643857477,
      3.638264807129046,
      3.5116330075467763,
      3.388781417979497,
      3.270074670713634,
      3.155840548693926,
      3.046363768330243,
      2.9418817273016087,
      2.842582151568988,
      2.748602517323566,
      2.660031039438326,
      2.5769081513433054,
      2.4992218543136664,
      2.4269031201167826,
      2.3598436061736616,
      2.297908017897803,
      2.2409364544501655,
      2.188719427983113,
      2.140982589727758,
      2.097359728503904,
      2.0574132389439668,
      2.0207003091403575,
      1.9867771766458768,
      1.9552047038606304,
      1.925575128740098,
      1.897563433720196,
      1.870924803746338,
      1.8454666673065239,
      1.8210287886744527,
      1.7974858688247572,
      1.774746120513493,
      1.7527337012664375,
      1.731386749242072,
      1.710654930367592,
      1.6904967284040446,
      1.670877379822053,
      1.6517670488217173,
      1.633140352724455,
      1.6149740310817837,
      1.5972465024733913,
      1.5799377615339005,
      1.5630292134065242,
      1.546503528432526,
      1.530344516276606,
      1.5145371041566458,
      1.4990677134687502,
      1.483923730717492,
      1.469093069479467,
      1.4545641603800705,
      1.440325937932351,
      1.426368214221871,
      1.412681866637756,
      1.3992581798663384,
      1.3860886091699176,
      1.373164812521511,
      1.3604786736137018,
      1.3480223176712032,
      1.3357881219907513,
      1.3237687217033254,
      1.3119570115013972,
      1.3003461453901308,
      1.2889295334622044,
      1.2777008369780742,
      1.2666539626184783,
      1.2557830554984553,
      1.245082491694672,
      1.2345469171150887,
      1.224171312216658,
      1.213951071414114,
      1.2038819353370647,
      1.193959735179127,
      1.184180394024468,
      1.1745398965415192,
      1.1650343072150917,
      1.1556598116013979,
      1.14641271584409,
      1.137289324843863,
      1.1282858403988028,
      1.119398602531515,
      1.1106241243779273,
      1.1019590786883637,
      1.0934003144903306,
      1.0849452799755244,
      1.0765920147410202,
      1.0683385677164794,
      1.0601829507070104,
      1.0521231580430557,
      1.0441571808790489,
      1.036283022281754,
      1.028498707500377,
      1.0208022909243855,
      1.013191861282168,
      1.0056655455107062,
      0.9982215111125846,
      0.9908579684949447,
      0.9835731715767736,
      0.9763654181042409,
      0.9692330501950346,
      0.9621744537008261,
      0.9551880406788177,
      0.9482722440381771,
      0.9414255439550154,
      0.9346466289198606,
      0.927934388392929,
      0.9212876995513742,
      0.9147054238743655,
      0.9081864165837313,
      0.9017295342234705,
      0.8953336405526789,
      0.8889976107189785,
      0.8827203349481894,
      0.876500721052098,
      0.870337695968551,
      0.864230437341725,
      0.8581784878114002,
      0.8521813416677284,
      0.8462384596831992,
      0.8403495738199127,
      0.8345144536343604,
      0.8287327224954651,
      0.8230038948093716,
      0.8173274050356956,
      0.8117027011544555,
      0.8061295250660846,
      0.8006076292039916,
      0.7951366377121679,
      0.7897160810891698,
      0.7843454219024983,
      0.7790240747989389,
      0.7737514216259158,
      0.7685267982055354,
      0.7633491856589351,
      0.758217391033044,
      0.7531303503351103,
      0.7480871022760461,
      0.7430867678278391,
      0.7381285344106501,
      0.7332116440091742,
      0.7283353836639297,
      0.7234990777044101,
      0.7187020818324483,
      0.7139437789407386,
      0.7092235753089846,
      0.7045408974749677,
      0.6998951903582034,
      0.6952859372323869,
      0.690712897275307,
      0.6861759606486304,
      0.6816749306096003,
      0.6772095463337465,
      0.6727795002587197,
      0.6683845383084223,
      0.6640249397474904,
      0.6597013822160303,
      0.6554146863108103,
      0.6511653718442976,
      0.6469536825430775,
      0.642779663354535,
      0.6386432172505423,
      0.6345441460975719,
      0.6304821803715325,
      0.6264570010367022,
      0.622468255055429,
      0.6185155669414004,
      0.6145985468760065,
      0.6107167964820848,
      0.6068699133928284,
      0.6030574943253287,
      0.5992791371274979,
      0.5955344421870498,
      0.5918230138437187,
      0.588144460843449,
      0.584498397007233,
      0.5808845859346656,
      0.5773029586238663,
      0.5737533835831597,
      0.5702356633697085,
      0.5667495543497785,
      0.5632947813006712,
      0.5598710472058521,
      0.5564780412266513,
      0.553115443858927,
      0.5497829307924598,
      0.5464801757415501,
      0.5432068525093067,
      0.5399626362436776,
      0.5367472044994626,
      0.533560237856092,
      0.5304014205778499,
      0.527270440783697,
      0.524166990637774,
      0.521090766459508,
      0.5180416627898246,
      0.5150197372508395,
      0.5120249570142392,
      0.5090572126891181,
      0.5061163417346519,
      0.5032021451658784,
      0.5003143988562909,
      0.497452862121008,
      0.4946172835067585,
      0.4918074051327965,
      0.48902296559692066,
      0.48626370199108837,
      0.4835293516696536,
      0.4808196530650979,
      0.47813434636713287,
      0.4754731741198208,
      0.47283588150938277,
      0.4702222167262456,
      0.46763193094427385,
      0.46506477845257627,
      0.4625205166598087,
      0.45999893501440975,
      0.4575000844177004,
      0.45502409659444826,
      0.4525709915586013,
      0.4501407113192281,
      0.4477331439550968,
      0.44534814001264045,
      0.4429855242362744,
      0.44064510422281655,
      0.43832667623433536,
      0.43603002941093083,
      0.4337549487291395,
      0.4315012169959367,
      0.42926861644577713,
      0.42705692969168224,
      0.4248659404158792,
      0.4226954338020931,
      0.4205451969405677,
      0.41841501920766067,
      0.4163046920865062,
      0.41421400947222403,
      0.41214276759748786,
      0.41009076524008153,
      0.4080578035766968,
      0.40604368626893395,
      0.40404821924633755,
      0.4020712110013601,
      0.400112472251454,
      0.39817181603642027,
      0.39624905764048096,
      0.39434401479753073,
      0.39245650741653926,
      0.3905863575135075,
      0.3887333893753349,
      0.3868974292690915,
      0.3850783057394195,
      0.3832758493241108,
      0.38148989260409977,
      0.37972027010316955,
      0.37796681834399315,
      0.3762293757798815,
      0.3745077828570133,
      0.3728018819274462,
      0.37111151719086855,
      0.36943653451223374,
      0.3677768628218178,
      0.3661324899309569,
      0.3645033647788651,
      0.36288940691687677,
      0.36129051521150135,
      0.3597065744597296,
      0.35813746601963586,
      0.35658306937082807,
      0.35504325702295975,
      0.3535178968007365,
      0.3520068537269147,
      0.3505099913579998,
      0.3490271725011187,
      0.347558259900365,
      0.34610311681838535,
      0.3446616073120657,
      0.3432335964580324,
      0.34181895040105453,
      0.3404175364552089,
      0.3390292233343007,
      0.3376538811050617,
      0.33629138114357915,
      0.3349415961702568,
      0.3336044004153259,
      0.3322796693934212,
      0.3309672799224824,
      0.32966711024766615,
      0.3283790399647404,
      0.32710294988324473,
      0.32583872217231696,
      0.3245862403825305,
      0.32334538922908174,
      0.3221160547474224,
      0.32089812427320574,
      0.3196914862988522,
      0.31849603047246816,
      0.31731164771431475,
      0.3161382300690506,
      0.31497567086640466,
      0.31382382383089336,
      0.312682486034834,
      0.3115514754253255,
      0.31043063532289594,
      0.3093198275365097,
      0.3082189274413273,
      0.307127820403318,
      0.30604639911775167,
      0.30497456197845,
      0.3039122116963104,
      0.3028592543527372,
      0.3018155985791602,
      0.3007811551263797,
      0.2997558365556826,
      0.29873955694837995,
      0.29773223170910657,
      0.2967337773732923,
      0.2957441115451239,
      0.2947631558014425,
      0.29379084932366023,
      0.29282713470747995,
      0.29187194873594796,
      0.29092522422189576,
      0.2899868911470179,
      0.2890568778919138,
      0.2881351119117932,
      0.28722152016663705,
      0.2863160293200284,
      0.2854185661775761,
      0.28452905789644517,
      0.2836474319918882,
      0.2827736165225727,
      0.2819075400613434,
      0.28104913169246815,
      0.2801983210993021,
      0.279355038717397,
      0.278519215622545,
      0.2776907835098224,
      0.27686967469981616,
      0.2760558221340192,
      0.2752491594992014,
      0.2744496210359864,
      0.2736571416799533,
      0.27287165698850363,
      0.2720931031459118,
      0.2713214169575243,
      0.270556535833313,
      0.26979839778571685,
      0.2690469414804553,
      0.2683021061238239,
      0.26756383149158786,
      0.26683205803616,
      0.2661067267028841,
      0.2653877791046016,
      0.2646751572780831,
      0.26396880383615273,
      0.26326866209635263,
      0.2625746759063775,
      0.2618867895221783,
      0.2612049395512421,
      0.2605290520898805,
      0.25985905780073076,
      0.2591948924626195,
      0.25853649583702826,
      0.25788381058737525,
      0.25723678162878716,
      0.25659535553679047,
      0.25595948026759546,
      0.2553291050357695,
      0.2547041798912378,
      0.2540846556552757,
      0.25347048384641063,
      0.2528616165707032,
      0.2522580065665526,
      0.2516596071371681,
      0.2510663720214162,
      0.25047825540585456,
      0.24989521205300874,
      0.24931719707523511,
      0.2487441660276488,
      0.24817607490097066,
      0.24761288005207144,
      0.24705453832660895,
      0.2465010069032743,
      0.24595224339376626,
      0.2454082057915493,
      0.2448688525107097,
      0.24433414235005668,
      0.24380403445854082,
      0.24327848831456197,
      0.24275746384614283,
      0.2422409214127742,
      0.24172882161075618,
      0.2412211254353383,
      0.2407177942789421,
      0.24021878982889586,
      0.2397240741188019,
      0.23923360964483925,
      0.23874735913992493,
      0.23826528570505348,
      0.23778735275097543,
      0.23731352404278688,
      0.23684376364386972,
      0.236378035937209,
      0.23591630577502617,
      0.2354585381593427,
      0.23500469844462074,
      0.2345547524016789,
      0.23410866597761143,
      0.23366640547647993,
      0.23322793754995633,
      0.23279322916404593,
      0.2323622475412842,
      0.2319349601802619,
      0.23151133488880735,
      0.2310913397418073,
      0.23067494309092354,
      0.2302621135752924,
      0.22985282019677988,
      0.2294470321929604,
      0.22904471907637294,
      0.22864585071287213,
      0.2282503970831508,
      0.22785832852800766,
      0.22746961562603443,
      0.22708422927585054,
      0.22670214053745197,
      0.2263233207795037,
      0.2259477415862373,
      0.22557537488114432,
      0.2252061928227827,
      0.2248401677782128,
      0.22447727237304277,
      0.2241174794661383,
      0.22376076226525826,
      0.22340709403681663,
      0.2230564483373585,
      0.22270879904234187,
      0.2223641202237151,
      0.22202238620625894,
      0.22168357142100667,
      0.22134765060282777,
      0.22101459878536853,
      0.2206843912080159,
      0.2203570032238232
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182843780319239,
      10.993225137648912,
      10.793452677811715,
      10.585387898175412,
      10.370901382713509,
      10.151868336000883,
      9.929950610224928,
      9.706661907533125,
      9.483417069316156,
      9.261535401269064,
      9.042214048824928,
      8.826486902680267,
      8.61520069209815,
      8.409000729670554,
      8.208328042835207,
      8.013427074819166,
      7.824362004634983,
      7.641039198673988,
      7.463233531618,
      7.290618352401562,
      7.122790439253763,
      6.959292586065297,
      6.799636744841902,
      6.643322822954832,
      6.489855491143498,
      6.3387579351171315,
      6.189583642251578,
      6.041923848026328,
      5.895419005304649,
      5.749763616577039,
      5.604701445833464,
      5.46003531726283,
      5.315640860466136,
      5.171463726928897,
      5.027510070354821,
      4.883833506650988,
      4.740539988831114,
      4.597802153597377,
      4.455854774092464,
      4.314987829051215,
      4.175537975149975,
      4.037874005062704,
      3.9023839199702137,
      3.769471728647574,
      3.6395468087103815,
      3.513012399652157,
      3.390257258399847,
      3.2716449745650316,
      3.157502508812721,
      3.0481138292314816,
      2.9437156696317035,
      2.8444951829444456,
      2.750589364898918,
      2.662086040776782,
      2.579024951878641,
      2.5013927847088944,
      2.429119753099574,
      2.3620979032995746,
      2.3001917103414984,
      2.2432411435192794,
      2.1910353365232527,
      2.1432986725363277,
      2.099662996569125,
      2.059690979807609,
      2.0229405669458695,
      1.9889693446004464,
      1.9573399284122137,
      1.927646764999868,
      1.8995668142510744,
      1.8728566967144094,
      1.8473251010913432,
      1.8228127405132342,
      1.7991941075989972,
      1.7763780103813709,
      1.7542892362815627,
      1.7328660816289125,
      1.7120584939050028,
      1.691824892364669,
      1.6721306739266375,
      1.6529457939414465,
      1.634244968147979,
      1.616005268743539,
      1.5982053468447266,
      1.5808253548988473,
      1.5638468095151057,
      1.547252456083112,
      1.5310261508939347,
      1.515152758242825,
      1.4996182767043797,
      1.4844100615057454,
      1.4695161219776263,
      1.4549249559499144,
      1.4406255423882544,
      1.4266073512820352,
      1.4128609281637623,
      1.3993776763063557,
      1.3861491597049531,
      1.3731671177767064,
      1.3604234934522146,
      1.3479104535485726,
      1.3356204022271494,
      1.3235459894532877,
      1.3116801156580307,
      1.3000159327783807,
      1.2885468430669558,
      1.2772664955797113,
      1.2661687810570974,
      1.2552478262126106,
      1.244497986960647,
      1.2339138816653599,
      1.223490467665838,
      1.213223117174605,
      1.2031075510530305,
      1.1931395814163133,
      1.183315080586543,
      1.1736299882974948,
      1.1640803588460074,
      1.1546623657809318,
      1.145372280366102,
      1.1362062677444171,
      1.1271604992454525,
      1.1182313285699363,
      1.1094152775011639,
      1.1007092617378413,
      1.0921108686120893,
      1.0836179436175721,
      1.0752283042648687,
      1.066939760361973,
      1.0587501280424723,
      1.05065724084172,
      1.0426589612133235,
      1.0347531877887728,
      1.0269378604445247,
      1.0192109633025752,
      1.011570527314163,
      1.0040146314792973,
      0.9965414037374644,
      0.9891490211384932,
      0.9818357096126957,
      0.9745997436594277,
      0.9674394452535857,
      0.9603531830997687,
      0.9533393540331052,
      0.9463963776134874,
      0.9395228021454546,
      0.9327174436255794,
      0.9259791509073555,
      0.9193067551795301,
      0.9126990800515917,
      0.9061549497678624,
      0.8996731953184524,
      0.8932526589748409,
      0.88689219838516,
      0.880590688921011,
      0.8743470258135756,
      0.8681604400678051,
      0.862030466304369,
      0.8559565487902031,
      0.8499381293807168,
      0.8439749425203581,
      0.8380667069733561,
      0.8322130014263948,
      0.8264133004964747,
      0.8206670024411559,
      0.8149736728300161,
      0.8093330956242747,
      0.8037449434121943,
      0.798208774887673,
      0.7927240655013391,
      0.7872902314491048,
      0.781906647720771,
      0.7765726616298009,
      0.7712876031835607,
      0.7660505983574489,
      0.7608604397205548,
      0.75571598659401,
      0.7506162151641894,
      0.7455601948922482,
      0.7405470705965888,
      0.7355760482306061,
      0.7306463841187136,
      0.725757375996413,
      0.7209083562146149,
      0.7160986870166081,
      0.7113277561466429,
      0.7065949734170135,
      0.7018997681750396,
      0.6972416478351915,
      0.6926204207835612,
      0.6880359435960907,
      0.6834879912195928,
      0.6789762789600813,
      0.6745004786541512,
      0.670060514071561,
      0.665656852069355,
      0.6612902729535338,
      0.656961510864114,
      0.6526709596594411,
      0.6484187686486859,
      0.6442049121187703,
      0.6400292391660592,
      0.6358915101627509,
      0.6317914234016127,
      0.627728634085047,
      0.6237027686418948,
      0.6197134344671357,
      0.6157602275061561,
      0.6118427373007872,
      0.6079605507085257,
      0.6041132548934891,
      0.6003004388096492,
      0.5965216949888907,
      0.5927766202406968,
      0.589064816259049,
      0.5853859052198876,
      0.5817397203451155,
      0.5781261867497258,
      0.5745451444485856,
      0.5709963737890164,
      0.5674796137095465,
      0.5639945743965616,
      0.5605409472549883,
      0.5571184114613739,
      0.5537266388259511,
      0.5503652975139492,
      0.5470340543591553,
      0.5437325768460198,
      0.5404605343602582,
      0.5372175988403742,
      0.5340034456969777,
      0.5308177542410542,
      0.5276602076987206,
      0.5245304937044287,
      0.5214283778032813,
      0.51835389187124,
      0.515307041690859,
      0.5122877428847382,
      0.5092958484339508,
      0.5063311678274416,
      0.5033934808106024,
      0.500482547023845,
      0.4975981131925186,
      0.4947399180707559,
      0.4919076954862705,
      0.4891011772788765,
      0.4863200949202302,
      0.4835641805088185,
      0.48083316785573793,
      0.4781267930549209,
      0.4754447947431833,
      0.4727869145351296,
      0.4701528970752306,
      0.46754249016495053,
      0.46495544488969487,
      0.46239151541552825,
      0.4598506851563457,
      0.45733310531092275,
      0.45483881740558424,
      0.4523677770019905,
      0.4499198796651753,
      0.4474949794634787,
      0.4450929020735226,
      0.44271345388459393,
      0.440356428737363,
      0.43802161244672216,
      0.43570878596530677,
      0.43341772768158304,
      0.4311482151664804,
      0.4289000261967396,
      0.4266729394653393,
      0.4244667352115855,
      0.42228119556902677,
      0.4201161048617764,
      0.4179712497488098,
      0.4158464192425137,
      0.41374140480487787,
      0.4116560004204611,
      0.40959000262101786,
      0.40754321043666114,
      0.4055154252223472,
      0.40350645089422404,
      0.40151609378714626,
      0.3995441626430447,
      0.397590468601779,
      0.39565482517034084,
      0.39373704804235427,
      0.3918369552511493,
      0.3899543670213139,
      0.38808910569906957,
      0.3862409959150916,
      0.3844098643435962,
      0.3825955397697835,
      0.3807978530843106,
      0.3790166372809634,
      0.3772517272036155,
      0.3755029596518983,
      0.3737701733120194,
      0.3720532089703918,
      0.3703519091968844,
      0.36866612235463103,
      0.3669957892313341,
      0.36534089505425077,
      0.3637013838201227,
      0.36207717071163004,
      0.3604681511933456,
      0.3588742073106367,
      0.3572952119266065,
      0.35573103508442144,
      0.3541815500284092,
      0.3526466261789428,
      0.3511261292428386,
      0.34961992275617415,
      0.3481278692346093,
      0.3466498309106639,
      0.3451856702381355,
      0.3437352503438616,
      0.3422984351743169,
      0.34087508977003045,
      0.3394650804142699,
      0.3380682745806132,
      0.3366845411623889,
      0.3353137504508741,
      0.3339557740019109,
      0.33261048479765437,
      0.3312777571444452,
      0.32995746671368886,
      0.3286494906618441,
      0.32735370741065967,
      0.3260699967484502,
      0.32479823978168726,
      0.3235383189536825,
      0.3222901178751456,
      0.32105352146336447,
      0.3198284159950387,
      0.3186146889846078,
      0.31741222906587935,
      0.3162209260922479,
      0.3150406673998916,
      0.3138712749228947,
      0.3127125415558974,
      0.3115642919786684,
      0.3104263738552636,
      0.30929865153939823,
      0.3081810016974793,
      0.3070733101974082,
      0.305975469666375,
      0.3048873779253474,
      0.3038089366447415,
      0.30274005075168603,
      0.30168062752991703,
      0.3006305763255263,
      0.29958980831036747,
      0.2985582359459449,
      0.29753577307455426,
      0.296522334670902,
      0.2955178368264751,
      0.2945221991528443,
      0.2935353588647322,
      0.2925572576525968,
      0.2915878311936115,
      0.29062701099094845,
      0.2896747258653972,
      0.2887309027871956,
      0.28779546789133226,
      0.28686834662360544,
      0.28594946435434443,
      0.28503874644394855,
      0.28413611852420023,
      0.2832415067160534,
      0.2823548376199557,
      0.2814760384087576,
      0.2806050368333022,
      0.2797417614077352,
      0.27888614115154664,
      0.2780381056640263,
      0.2771975853399863,
      0.2763645113081842,
      0.2755388152194298,
      0.2747204294428524,
      0.27390928692119126,
      0.2731053213583322,
      0.27230846706588197,
      0.27151865910394274,
      0.2707358329789865,
      0.2699599249030168,
      0.26919087173643363,
      0.26842861099685267,
      0.26767308070445517,
      0.2669242195085669,
      0.26618196668916516,
      0.26544626213500455,
      0.2647170463104961,
      0.2639942602248846,
      0.26327784554254835,
      0.2625677444159583,
      0.26186389945984784,
      0.2611662484366442,
      0.2604747159665092,
      0.259789229860364,
      0.2591097234655381,
      0.25843613437082297,
      0.25776840336920986,
      0.257106473508404,
      0.25645028964598454,
      0.255799798252667,
      0.2551549469542126,
      0.25451568433182725,
      0.25388195976421857,
      0.2532537233994789,
      0.25263092597688586,
      0.25201351889264695,
      0.25140145412772585,
      0.25079468411411954,
      0.25019316176794454,
      0.2495968404987777,
      0.24900567415685101,
      0.248419617045489,
      0.24783862392220035,
      0.24726264995046748,
      0.24669165075461538,
      0.24612558239986898,
      0.24556440132289917,
      0.24500806432750216,
      0.24445652860657963,
      0.24390975181648333,
      0.24336769202560932,
      0.24283030766454575,
      0.24229755752808385,
      0.24176940074053394,
      0.24124579692541592,
      0.24072670600803087,
      0.2402120882990069,
      0.23970190452817863,
      0.23919611559989795,
      0.23869468285799691,
      0.23819756809776552,
      0.23770473336290676,
      0.23721614116355522,
      0.23673175422495019,
      0.23625153573309526,
      0.23577544909847883,
      0.23530345814043974,
      0.2348355269929938,
      0.23437162008811038,
      0.23391170219097512,
      0.23345573835980643,
      0.23300369402142965,
      0.232555534831742,
      0.23211122679145887,
      0.2316707362866226,
      0.23123403001608622,
      0.23080107490720475,
      0.23037183815959375,
      0.22994628735362754,
      0.2295243902673102,
      0.2291061150376051,
      0.22869143008104262,
      0.22828030406648142,
      0.2278727060285506,
      0.22746860526605603,
      0.22706797127959436,
      0.22667077386231074,
      0.22627698310291694,
      0.2258865693132529,
      0.2254995030837901,
      0.22511575532750758,
      0.22473529718497537,
      0.22435810007010956,
      0.22398413560239755,
      0.22361337566699824,
      0.2232457925269712,
      0.22288135855482075,
      0.22252004638449494,
      0.22216182891144254,
      0.22180667928113001,
      0.22145457083996814,
      0.2211054772271873,
      0.22075937231486037,
      0.2204162301362448,
      0.2200760250181179,
      0.21973873153606224,
      0.21940432444513172,
      0.21907277878950634,
      0.21874406984753197,
      0.21841817291233376
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182836036992416,
      10.993188831033926,
      10.793372636702927,
      10.585254613926889,
      10.370711299958934,
      10.151622234731951,
      9.92965418845804,
      9.706323309862478,
      9.483046026711145,
      9.261142450907805,
      9.0418094146168,
      8.826080151741966,
      8.614800463564782,
      8.40861455428072,
      8.20796224970924,
      8.013086782696046,
      7.8240511844014335,
      7.640760789292864,
      7.462989516678046,
      7.2904098783405615,
      7.122618160293888,
      6.959156800546514,
      6.799537035230138,
      6.643258596766751,
      6.489826861135919,
      6.33876540637722,
      6.189628121692585,
      6.042006910572889,
      5.895542569503861,
      5.749930133734929,
      5.604914086865122,
      5.460297498463623,
      5.3159562117481745,
      5.171835845756147,
      5.027942851112918,
      4.884331885384051,
      4.741108973516095,
      4.598446472257599,
      4.456578769945356,
      4.315795354887504,
      4.176432291733464,
      4.0388585525222425,
      3.903461734957924,
      3.7706449386857908,
      3.640816599157368,
      3.5143790391953713,
      3.391719830363222,
      3.2732015234870317,
      3.159150260993852,
      3.049849265992835,
      2.945534611181385,
      2.8463928785885524,
      2.7525605861974647,
      2.6641251714445344,
      2.5811256837047147,
      2.503547495717304,
      2.4313200711338654,
      2.364335848377181,
      2.3024591015268103,
      2.2455295816495826,
      2.193335130490989,
      2.1455987758978843,
      2.101950442729426,
      2.061953187972808,
      2.02516570840641,
      1.9911469261583727,
      1.9594611849599053,
      1.929705128958184,
      1.9015576897854087,
      1.874776917835058,
      1.8491727464516585,
      1.824586972064823,
      1.8008938376902863,
      1.7780026070226627,
      1.7558387037469632,
      1.734340593700938,
      1.7134584964276944,
      1.6931507716422634,
      1.673382975481302,
      1.6541250844207556,
      1.6353516348005066,
      1.6170400256690256,
      1.5991691546978657,
      1.5817193338116349,
      1.564672192946696,
      1.5480105537745834,
      1.5317183199114257,
      1.5157803805729264,
      1.500182525181868,
      1.4849117506558338,
      1.4699561365634446,
      1.4553042585960458,
      1.4409451481849591,
      1.4268682979916125,
      1.413063934375422,
      1.3995231425942984,
      1.3862375766449444,
      1.3731990776241971,
      1.3603996648858685,
      1.347831560714019,
      1.3354872077621112,
      1.3233592809192718,
      1.3114406943445103,
      1.2997246050665046,
      1.288204413369229,
      1.2768737606358458,
      1.2657265261803763,
      1.254756821946002,
      1.2439589861281855,
      1.2333276124301185,
      1.2228576360046646,
      1.212544406095045,
      1.2023836248857473,
      1.1923710657776034,
      1.1825025534230995,
      1.1727740152693602,
      1.1631814942816094,
      1.1537211513029737,
      1.1443891644733877,
      1.1351815913152092,
      1.1260946187519902,
      1.1171247414659105,
      1.108268978811953,
      1.0995248298936195,
      1.0908898874745396,
      1.082361748780308,
      1.0739380297327117,
      1.0656163742188665,
      1.0573944620386964,
      1.0492700177001857,
      1.0412408149563428,
      1.0333046794002223,
      1.0254594904637022,
      1.0177031824327865,
      1.0100337447543728,
      1.0024492214976313,
      0.9949477113591785,
      0.9875273668029236,
      0.9801863927541365,
      0.9729230455207636,
      0.9657356314449095,
      0.958622505700825,
      0.9515820526316437,
      0.9446127091869739,
      0.9377131715647437,
      0.9308822602314832,
      0.9241187756280776,
      0.917421509118112,
      0.9107892514885324,
      0.9042207999469699,
      0.8977149631281238,
      0.8912705647872059,
      0.8848864468569426,
      0.8785614804245511,
      0.8722949206823238,
      0.8660862779063537,
      0.8599349526425958,
      0.8538403612750637,
      0.847802225927713,
      0.8418202240589662,
      0.8358938966083967,
      0.8300226834733906,
      0.8242059915370303,
      0.8184434961655862,
      0.8127349450832103,
      0.8070799445173679,
      0.8014779974516896,
      0.795928532252809,
      0.790430924449227,
      0.7849845134484837,
      0.7795886150499785,
      0.7742425312634847,
      0.7689455057839386,
      0.7636964185892426,
      0.7584940416999928,
      0.7533372807228544,
      0.7482251473204651,
      0.7431567386164893,
      0.7381312206245683,
      0.7331478155091572,
      0.7282057918841268,
      0.7233044570576417,
      0.7184431510275548,
      0.7136212414244427,
      0.7088381200272466,
      0.7040931997242813,
      0.6993860022473757,
      0.6947163646853439,
      0.690084115988241,
      0.685489007855361,
      0.6809307350930556,
      0.6764089517202219,
      0.671923794711781,
      0.6674758576645916,
      0.663065984468029,
      0.6586947822354354,
      0.6543625501962902,
      0.6500693664605003,
      0.6458151508546419,
      0.6415997104528223,
      0.637422772796788,
      0.6332840099562624,
      0.6291830561998359,
      0.6251195204229409,
      0.6210929952807742,
      0.6171030640200184,
      0.6131493049304109,
      0.6092312949311348,
      0.6053486119227302,
      0.6015008364216031,
      0.5976875529918291,
      0.5939083508946041,
      0.5901628247726708,
      0.5864506225473385,
      0.5827716220311331,
      0.5791257220493148,
      0.5755127419583684,
      0.5719324456524053,
      0.5683845582890283,
      0.5648687786673315,
      0.5613847882402526,
      0.5579322576036679,
      0.5545108509167384,
      0.5511202293875996,
      0.5477600534286666,
      0.5444299845078104,
      0.5411296862941667,
      0.5378588254590244,
      0.5346170722627721,
      0.5314041010321771,
      0.5282195902241433,
      0.5250632226116838,
      0.5219349029068429,
      0.5188346862891936,
      0.5157625261066695,
      0.5127182996348487,
      0.5097018311521909,
      0.5067129085635385,
      0.5037512949756685,
      0.5008167372733595,
      0.49790897172525234,
      0.49502772847014903,
      0.49217273444121934,
      0.48934371542564065,
      0.4865403974957957,
      0.4837625079947135,
      0.4810097764114368,
      0.4782819347412281,
      0.47557871794407164,
      0.4728998639424936,
      0.4702451138723486,
      0.4676142120784586,
      0.46500690631355973,
      0.4624230625682027,
      0.4598628169624485,
      0.4573262489841348,
      0.45481333906595667,
      0.45232399862435824,
      0.449858091046839,
      0.44741544680390055,
      0.44499587393371637,
      0.4425991655388085,
      0.4402251052879052,
      0.4378734709928549,
      0.43554403706214045,
      0.4332365766794797,
      0.43095086279907174,
      0.4286866692845293,
      0.42644377138139183,
      0.4242219461865481,
      0.42202097291293983,
      0.4198406330780557,
      0.41768071066779594,
      0.41554099222556234,
      0.4134212668417731,
      0.41132132614575956,
      0.4092409643765445,
      0.4071799781254065,
      0.40513816664069174,
      0.40311533183051956,
      0.4011112779386129,
      0.3991258115531277,
      0.39715874189862155,
      0.3952098803173256,
      0.3932790404908846,
      0.39136603851268953,
      0.3894706927092847,
      0.38759282359206343,
      0.385732253888636,
      0.3838888084755337,
      0.38206231431423504,
      0.38025260051756293,
      0.3784594981649983,
      0.3766828404519241,
      0.3749224625620784,
      0.373178201594824,
      0.3714498964693275,
      0.36973738816295876,
      0.36804052653943053,
      0.36635925599892727,
      0.36469355908287765,
      0.3630433773368684,
      0.3614086238207848,
      0.35978919202058507,
      0.3581849619125676,
      0.35659580460133067,
      0.35502158542147205,
      0.35346216729440016,
      0.35191741812012345,
      0.3503872058184373,
      0.3488713949713527,
      0.3473698484624543,
      0.34588242831811783,
      0.34440899656851787,
      0.34294941554634767,
      0.34150354831143714,
      0.34007125899913837,
      0.3386524128139706,
      0.3372468761269987,
      0.33585451654939896,
      0.33447520308484174,
      0.33310880619587885,
      0.33175519764430766,
      0.33041425060193547,
      0.3290858395221675,
      0.32776984032028245,
      0.3264661302895735,
      0.3251745881228693,
      0.3238950937716318,
      0.3226275284609459,
      0.3213717748344885,
      0.320127716721553,
      0.318895239288381,
      0.3176742289512217,
      0.31646457330498845,
      0.3152661499923288,
      0.3140787667779048,
      0.31290221843978006,
      0.31173633032182907,
      0.31058094999709285,
      0.30943594129228225,
      0.3083011800377933,
      0.30717655091704543,
      0.30606194513587814,
      0.30495725901836584,
      0.30386239279871674,
      0.3027772495409481,
      0.30170173494571356,
      0.300635756771795,
      0.29957922432759665,
      0.2985320484764589,
      0.29749414136671454,
      0.29646541625486095,
      0.29544578761183404,
      0.29443517152477494,
      0.2934335011653313,
      0.2924407183956434,
      0.2914567583818597,
      0.290481551891126,
      0.2895150267813947,
      0.2885571089579318,
      0.28760772315657623,
      0.28666679350537255,
      0.28573424400700687,
      0.28480999867647644,
      0.28389398172914493,
      0.2829861179342659,
      0.2820863325242671,
      0.2811945512329467,
      0.28031070043607054,
      0.27943470706512824,
      0.2785664987387841,
      0.2777060038707813,
      0.27685315152588263,
      0.2760078713665484,
      0.2751700937542601,
      0.2743397497126152,
      0.27351677096914334,
      0.2727010898079323,
      0.27189263936964403,
      0.2710913533176222,
      0.27029716609096605,
      0.2695100126638316,
      0.26872982870084244,
      0.26795655039614164,
      0.26719011468346865,
      0.2664304590665025,
      0.265677521629276,
      0.26493124111191635,
      0.2641915568355534,
      0.26345840871852216,
      0.26273173721777515,
      0.2620114833736964,
      0.2612975874835928,
      0.2605899768187765,
      0.25988857459870424,
      0.2591933104384297,
      0.2585041189251009,
      0.2578209381372557,
      0.25714370885130045,
      0.25647237398697326,
      0.25580687808565983,
      0.2551471670112101,
      0.25449318770602536,
      0.25384488798927485,
      0.2532022164599131,
      0.25256512247854485,
      0.25193355603771594,
      0.2513074676848028,
      0.25068680843437735,
      0.25007152979649827,
      0.24946158392093667,
      0.24885692332395032,
      0.2482575010742436,
      0.24766327066256597,
      0.2470741859491436,
      0.24649020132858146,
      0.24591127162923346,
      0.2453373520778912,
      0.24476839825276686,
      0.24420436619051636,
      0.24364521236746625,
      0.24309089368230347,
      0.24254136735104773,
      0.24199659101957546,
      0.2414565227629551,
      0.24092112099703142,
      0.2403903445694793,
      0.23986415272502598,
      0.2393425050336415,
      0.23882536142188568,
      0.23831268220532056,
      0.23780442805869062,
      0.23730056001262076,
      0.23680103947700498,
      0.23630582825314828,
      0.2358148883943421,
      0.2353281823600032,
      0.23484567296764397,
      0.234367323422449,
      0.2338930971189366,
      0.23342295788900208,
      0.23295686980563018,
      0.23249479739498888,
      0.23203670536638243,
      0.2315825588771544,
      0.23113232343047552,
      0.23068596471054215,
      0.23024344871078206,
      0.22980474186347263,
      0.22936981080172947,
      0.22893862252946798,
      0.22851114429987507,
      0.2280873436348124,
      0.22766718838321406,
      0.22725064674250003,
      0.22683768714135946,
      0.2264282782758131,
      0.2260223891590447,
      0.2256199890452537,
      0.22522104749398825,
      0.2248255343340595,
      0.22443341969177485,
      0.2240446739567796,
      0.22365926767247227,
      0.22327717178309875,
      0.2228983574879486,
      0.22252279621080898,
      0.22215045963410782,
      0.22178131964461312,
      0.22141534840724486,
      0.22105251842711898,
      0.22069280235831515,
      0.22033617311850395,
      0.21998260387745605,
      0.21963206803343,
      0.21928453921600005,
      0.2189399912897951,
      0.21859839830796063,
      0.21825973433920612,
      0.21792397379098924,
      0.21759109141589278,
      0.21726106209009588,
      0.21693386096151543,
      0.21660946352238722
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182828376266505,
      10.993152876133568,
      10.793293345165123,
      10.585122546518777,
      10.370522903842701,
      10.151378252200947,
      9.929360307245254,
      9.705987657423417,
      9.4826783107994,
      9.260753175440595,
      9.041408762678778,
      8.825677645616912,
      8.614404699356799,
      8.408233021965449,
      8.207601242866447,
      8.012751392148004,
      7.823745361260126,
      7.640487460884753,
      7.462750662242376,
      7.290206647147339,
      7.1224512147452765,
      6.9590262387922035,
      6.7994422332701285,
      6.643198941306283,
      6.489802291907511,
      6.338776510659658,
      6.189675803968826,
      6.042092742183918,
      5.8956685326668055,
      5.7500987320205965,
      5.605128534990787,
      5.460561243856602,
      5.316272901832301,
      5.172209084673588,
      5.028376529296807,
      4.884830927723174,
      4.74167837182076,
      4.599090932346496,
      4.457302608748305,
      4.316602395988521,
      4.177325765398405,
      4.039841872365481,
      3.904537913513728,
      3.7718160808598302,
      3.642083870136273,
      3.515742693320136,
      3.3931789443707316,
      3.2747541401203173,
      3.1607936094299753,
      3.0515798355186865,
      2.9473482352763365,
      2.8482848260405627,
      2.7545256523691988,
      2.6661577682996,
      2.583219502712108,
      2.505694953445523,
      2.4335128981465903,
      2.3665661651572876,
      2.304718804458028,
      2.247810213056044,
      2.1956268450818213,
      2.147890165624468,
      2.1042285805641656,
      2.0642057219959145,
      2.0273810354285877,
      1.993314776742264,
      1.9615729853091222,
      1.9317544732444794,
      1.903540117254685,
      1.8766893748677187,
      1.8510133988854327,
      1.8263551125237807,
      1.8025884380033854,
      1.7796230402459094,
      1.7573850391311676,
      1.7358132010286293,
      1.7148578335475186,
      1.6944773838351928,
      1.6746373919832307,
      1.6553078907482734,
      1.6364632201083344,
      1.6180810854956182,
      1.6001406377824223,
      1.582622349870016,
      1.5655079643657739,
      1.5487803792520969,
      1.5324235456686146,
      1.5164223771976466,
      1.5007626700848617,
      1.4854310808741504,
      1.4704154518105135,
      1.4557044499093232,
      1.4412871706474153,
      1.4271531382838307,
      1.4132925879361986,
      1.3996963737189958,
      1.386355796521265,
      1.3732627446980565,
      1.3604093351290847,
      1.347787863605603,
      1.3353908262972731,
      1.323210935326685,
      1.3112411292426829,
      1.2994745787713218,
      1.2879046893366708,
      1.2765251012270376,
      1.2653296869532313,
      1.254312547475409,
      1.24346800728954,
      1.2327906408603282,
      1.222275360911027,
      1.211917493604,
      1.201712712239695,
      1.1916567406393765,
      1.1817453878506365,
      1.1719745719774837,
      1.1623403248350108,
      1.1528387887235034,
      1.143466006613703,
      1.1342180648845948,
      1.1250915129520709,
      1.1160833187929067,
      1.1071907873494153,
      1.0984112683469947,
      1.0897421448814313,
      1.081180843395043,
      1.0727248387910027,
      1.064371658885358,
      1.0561188907708423,
      1.047964182611633,
      1.039905245065904,
      1.031939851594854,
      1.024065838289705,
      1.0162811029295187,
      1.0085836041513616,
      1.0009713603921289,
      0.9934424483120065,
      0.9859950010173327,
      0.9786272068066735,
      0.9713373077401609,
      0.9641235974830353,
      0.9569844200095621,
      0.9499181489306336,
      0.9429233406112458,
      0.9359987665336764,
      0.9291431957427811,
      0.9223553866748441,
      0.9156340962588355,
      0.90897808714787,
      0.9023861330006787,
      0.895857022746595,
      0.8893895636971189,
      0.8829826100168746,
      0.8766354124296836,
      0.8703474409031021,
      0.8641180581100822,
      0.8579466483589441,
      0.8518329070560081,
      0.8457764795329207,
      0.8397768758627749,
      0.8338335066439383,
      0.827945823462256,
      0.8221135748448334,
      0.8163364420432629,
      0.8106139757036829,
      0.8049456314325092,
      0.7993307962217108,
      0.7937688093606131,
      0.7882589778882827,
      0.7828005886114328,
      0.7773929169747382,
      0.7720352337249128,
      0.7667265947160639,
      0.7614657401302724,
      0.756251493354076,
      0.7510827992227214,
      0.7459586998626739,
      0.7408783155013778,
      0.7358408299951141,
      0.7308454793096324,
      0.725891542620816,
      0.7209783351498439,
      0.7161052027669184,
      0.711271517715451,
      0.7064766751420878,
      0.7017202123034662,
      0.6970019604058285,
      0.6923217278670937,
      0.6876792479539792,
      0.6830741992105108,
      0.6785063081546492,
      0.6739758448347839,
      0.6694834736417935,
      0.6650300171755106,
      0.6606159953169387,
      0.6562416412184531,
      0.6519069820047635,
      0.6476118979326112,
      0.6433561649142041,
      0.639139485491862,
      0.6349615113832187,
      0.6308218596748373,
      0.6267201244946663,
      0.6226558858017849,
      0.6186287153720269,
      0.6146381811943442,
      0.610683850852435,
      0.6067652934954599,
      0.6028820814738906,
      0.599033791468069,
      0.5952200052417945,
      0.5914403101763347,
      0.5876943725517626,
      0.5839820986975696,
      0.5803033675912642,
      0.5766579826321337,
      0.5730456943922967,
      0.5694662168892023,
      0.5659192391859509,
      0.5624044341382961,
      0.55892146457094,
      0.5554699874376614,
      0.5520496571243191,
      0.5486601278549048,
      0.5453010552601751,
      0.5419720973181774,
      0.5386729152043404,
      0.5354031739781498,
      0.5321625426519015,
      0.5289506948375599,
      0.5257673646002055,
      0.522612549119673,
      0.5194862615756065,
      0.5163884192279418,
      0.5133188722578407,
      0.5102774244500857,
      0.5072638478520161,
      0.5042778930614316,
      0.5013192968051876,
      0.4983877872170236,
      0.49548308736610636,
      0.4926049180155356,
      0.48975299954416834,
      0.4869270531147279,
      0.48412680172926703,
      0.4813519705645596,
      0.4786022875305113,
      0.4758774837741718,
      0.47317729354632126,
      0.47050145444793384,
      0.46784970752352206,
      0.4652218219213636,
      0.46261783739929857,
      0.4600378900123789,
      0.45748199774807224,
      0.45495009650369667,
      0.4524420651441874,
      0.44995774307516656,
      0.44749694298841597,
      0.4450594594335992,
      0.442645075128977,
      0.4402535654662381,
      0.43788470158068993,
      0.4355382525324615,
      0.4332139867083671,
      0.4309116730855071,
      0.42863108187763155,
      0.4263719849742209,
      0.4241341563264625,
      0.42191737230743753,
      0.41972141171655286,
      0.41754605591265437,
      0.4153910888728196,
      0.41325629715099904,
      0.41114146999229706,
      0.40904639919512836,
      0.40697087920527186,
      0.4049147070348949,
      0.4028776822607251,
      0.4008596068475226,
      0.39886028533015866,
      0.3968795247194162,
      0.39491713438590564,
      0.3929729259720664,
      0.391046713511109,
      0.38913831326900616,
      0.38724754381896576,
      0.38537422601737203,
      0.3835181828559119,
      0.3816792395206182,
      0.379857223148721,
      0.3780519630463864,
      0.37626329050281965,
      0.374491038887342,
      0.37273504367342203,
      0.3709951421613738,
      0.3692711735344595,
      0.367562984589126,
      0.3658705168243241,
      0.36419375339778276,
      0.36253263561564486,
      0.36088707600414544,
      0.35925696709357174,
      0.3576421879896984,
      0.35604260852659314,
      0.35445809267073264,
      0.35288850060269256,
      0.3513336902988978,
      0.3497935254109342,
      0.3482678730389433,
      0.3467565974433249,
      0.3452595611978471,
      0.34377662633377143,
      0.3423076547671895,
      0.3408525088248924,
      0.3394110517182191,
      0.3379831474583499,
      0.33656866140813896,
      0.33516746004753223,
      0.33377941126296834,
      0.3324043842068723,
      0.33104224940133636,
      0.3296928788958908,
      0.32835614607260455,
      0.3270319255428482,
      0.3257200934287599,
      0.32442052716475683,
      0.32313310554359875,
      0.32185770862594654,
      0.3205942179074154,
      0.3193425160690755,
      0.3181024871380127,
      0.31687401635845647,
      0.3156569804405107,
      0.3144511858280158,
      0.313256422570614,
      0.3120725121359015,
      0.3108992988180102,
      0.3097366435230967,
      0.3085844193957695,
      0.3074425085579145,
      0.3063107999743748,
      0.30518918776195725,
      0.30407757003821495,
      0.3029758480130127,
      0.3018839253828733,
      0.30080170788632676,
      0.2997291031201606,
      0.2986660200052811,
      0.29761236894365317,
      0.2965680614325547,
      0.29553301005092436,
      0.29450712849980176,
      0.293490342647359,
      0.29248259269452603,
      0.29148381455015787,
      0.2904939389146272,
      0.2895128932284295,
      0.2885406026154533,
      0.2875769907279152,
      0.2866219806357338,
      0.28567549502613715,
      0.28473745660465793,
      0.28380778829171854,
      0.2828864134069338,
      0.28197325558649755,
      0.28106823919809276,
      0.28017128922263623,
      0.27928233134181274,
      0.27840129167106525,
      0.2775280971046534,
      0.27666267531900723,
      0.27580495458793164,
      0.2749548638920292,
      0.27411233294101506,
      0.27327729217298347,
      0.27244967267943554,
      0.2716294061829972,
      0.27081642511904797,
      0.27001066252838046,
      0.2692120521554107,
      0.2684205284212679,
      0.2676360263735064,
      0.26685848159949355,
      0.2660878304086972,
      0.26532400973720693,
      0.264566957206916,
      0.2638166109451001,
      0.2630729096982234,
      0.26233579274401503,
      0.2616052000213758,
      0.2608810674176356,
      0.2601633162463269,
      0.25945187072693005,
      0.25874666090286363,
      0.25804762129706876,
      0.257354689698783,
      0.2566678064328359,
      0.25598691387999634,
      0.25531195587737354,
      0.2546428775187654,
      0.25397962484443365,
      0.25332214483989285,
      0.2526703852341727,
      0.25202429442805035,
      0.2513838215007593,
      0.25074891610424915,
      0.2501195284743959,
      0.24949560922742978,
      0.2488771095394134,
      0.24826398114950543,
      0.24765617622492578,
      0.2470536473548803,
      0.24645634757100504,
      0.24586423043313654,
      0.24527724993834799,
      0.24469536043188142,
      0.24411851673528756,
      0.24354667405960245,
      0.24297978806029924,
      0.24241781484238764,
      0.24186071087815206,
      0.2413084329896215,
      0.24076093842141905,
      0.2402181848893139,
      0.23968013049066605,
      0.23914673366688552,
      0.23861795331974298,
      0.23809374861130608,
      0.23757407913350898,
      0.23705890486292344,
      0.23654818609148773,
      0.23604188359996925,
      0.2355399584258955,
      0.23504237198877062,
      0.23454908606369615,
      0.23406006270540072,
      0.2335752644404443,
      0.2330946541175095,
      0.2326181949242018,
      0.23214585031589025,
      0.23167758405996416,
      0.231213360395755,
      0.2307531437507298,
      0.2302968989534248,
      0.22984459107893412,
      0.2293961856515718,
      0.2289516484034336,
      0.22851094539033326,
      0.22807404301956682,
      0.22764090796436465,
      0.22721150716852545,
      0.22678580799164125,
      0.2263637780507547,
      0.22594538515176787,
      0.22553059742515597,
      0.22511938338629198,
      0.22471171184471525,
      0.22430755172526862,
      0.22390687234755993,
      0.223509643312558,
      0.22311583447912223,
      0.22272541591602282,
      0.22233835805835345,
      0.2219546315468898,
      0.2215742072721044,
      0.22119705644422558,
      0.22082315047377352,
      0.22045246103081043,
      0.22008496015600112,
      0.21972062002952295,
      0.21935941309667148,
      0.21900131209272333,
      0.2186462896997458,
      0.21829431885212514,
      0.21794537289004157,
      0.2175994254603938,
      0.2172564503675379,
      0.21691642167944541,
      0.21657931369445893,
      0.2162451009981368,
      0.2159137584576104,
      0.21558526111486884,
      0.2152595842846606,
      0.21493670342383392
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182820793869043,
      10.993117252702312,
      10.793214750198475,
      10.584991597832706,
      10.370336035978907,
      10.151136153478776,
      9.92906863005483,
      9.705654402886173,
      9.482313152045425,
      9.260366573034855,
      9.041010850486954,
      8.82527789462855,
      8.614011655495345,
      8.40785412987703,
      8.207242758421412,
      8.012418377211338,
      7.823441746277855,
      7.640216160619837,
      7.462513650948332,
      7.290005076438754,
      7.122285754539336,
      6.958896811659499,
      6.799348192855545,
      6.643139709332356,
      6.489777709698229,
      6.3387871806898515,
      6.1897225997376415,
      6.042177210877033,
      5.895792694199252,
      5.750265120124339,
      5.605340387451311,
      5.46082202066838,
      5.31658625336556,
      5.172578611454715,
      5.028806112009823,
      4.885325479781327,
      4.742242871667632,
      4.5997300695016685,
      4.458020682326124,
      4.317403210785991,
      4.1782125330973034,
      4.040817881185762,
      3.9056061769585027,
      3.772978707109834,
      3.6433420310972666,
      3.5170966563936443,
      3.394627895315063,
      3.276296140751861,
      3.16242591267303,
      3.0532989578998637,
      2.949150041534721,
      2.850164619129149,
      2.756478265505577,
      2.6681776546983356,
      2.5853000443568503,
      2.507828457669083,
      2.435691267264892,
      2.368781683868902,
      2.3069634621017787,
      2.2500756497529752,
      2.197903154492195,
      2.150165960885169,
      2.1064910778600443,
      2.0664427304291975,
      2.029581109474385,
      1.9954678001958241,
      1.963670508590946,
      1.9337901956776544,
      1.9055096696020561,
      1.8785897831092133,
      1.8528428897065192,
      1.8281130284308031,
      1.80427380995876,
      1.781235296712739,
      1.7589242942125063,
      1.737279860778343,
      1.7162523886839764,
      1.695800457768931,
      1.6758895303066166,
      1.6564899283543637,
      1.637575724769724,
      1.61912466605548,
      1.6011161710293103,
      1.5835308958787848,
      1.5663507033533903,
      1.54955857348463,
      1.5331385092835137,
      1.5170754527643127,
      1.5013552103621657,
      1.4859643857967888,
      1.4708904287633733,
      1.4561219048109162,
      1.44164798698083,
      1.4274582524742863,
      1.4135429502760892,
      1.3998929506132578,
      1.3864994189769368,
      1.373353865985412,
      1.3604483627635902,
      1.3477753024010417,
      1.335327254635641,
      1.3230969856943677,
      1.3110774723053602,
      1.2992619104641354,
      1.2876437207503861,
      1.2762165502066796,
      1.2649742714448144,
      1.253910980249259,
      1.2430209918736732,
      1.2322988652622495,
      1.2217394940438122,
      1.2113381783015131,
      1.2010905430370709,
      1.190992291292787,
      1.181039225490711,
      1.1712272545032711,
      1.1615523991899084,
      1.1520107861782816,
      1.14259864238064,
      1.133312384807329,
      1.1241488503876909,
      1.1151050995606386,
      1.1061782463129266,
      1.0973654651926508,
      1.0886639962651226,
      1.0800711469305317,
      1.0715842939884364,
      1.0632008866391933,
      1.0549184472981021,
      1.0467345704501863,
      1.0386469216526848,
      1.0306532367051255,
      1.0227513197848717,
      1.0149390415826591,
      1.007214337656984,
      0.9995752062588914,
      0.9920197065562153,
      0.9845459565067529,
      0.9771521311043938,
      0.9698364601950606,
      0.9625972268390468,
      0.9554327653140859,
      0.948341504387994,
      0.9413221336154731,
      0.9343733907175091,
      0.927494000724052,
      0.9206826857874881,
      0.9139381730127518,
      0.9072592002250653,
      0.9006445205598239,
      0.8940929058396934,
      0.8876031799831943,
      0.8811745688244698,
      0.8748065076422717,
      0.8684983251320603,
      0.8622493661032977,
      0.856059284907864,
      0.8499277023251878,
      0.8438541034593998,
      0.837837873394294,
      0.8318785482302021,
      0.8259758758076493,
      0.8201294824732535,
      0.814338871430324,
      0.8086034563665856,
      0.8029225873759468,
      0.7972955706124879,
      0.7917216832542208,
      0.78620018473157,
      0.7807303251672775,
      0.7753113515101873,
      0.7699424670287953,
      0.7646225182695917,
      0.7593502326990434,
      0.7541244778202023,
      0.7489442327045017,
      0.7438085655543333,
      0.7387166168233149,
      0.7336675858683837,
      0.7286607203896938,
      0.7236953085830886,
      0.7187706724086379,
      0.7138861628764605,
      0.7090411560666225,
      0.7042351836085363,
      0.6994680657846096,
      0.6947395951459443,
      0.6900494906143068,
      0.6853974168999636,
      0.6807831565831411,
      0.6762070775411034,
      0.6716698975329967,
      0.6671724170942562,
      0.6627150905026506,
      0.6582981004137471,
      0.6539214347620614,
      0.649584942561087,
      0.6452883743878617,
      0.6410314119709326,
      0.6368136895656371,
      0.6326348091643079,
      0.6284943518026996,
      0.6243918856571516,
      0.6203269717225208,
      0.6162991682337934,
      0.6123080335912854,
      0.6083531282571718,
      0.6044340162670387,
      0.6005502665143218,
      0.5967014531764679,
      0.5928871563798738,
      0.5891070632908392,
      0.585361080943943,
      0.5816490757192445,
      0.5779708399523247,
      0.5743261142408866,
      0.5707146038354002,
      0.5671359898006348,
      0.5635899375552541,
      0.5600761028411524,
      0.5565941360847481,
      0.5531436853932095,
      0.5497243990103678,
      0.5463359267317361,
      0.5429779208947191,
      0.539650037227754,
      0.536351935485505,
      0.533083279694504,
      0.5298437382141944,
      0.5266331146567509,
      0.5234514454168026,
      0.5202987069480274,
      0.517174788869415,
      0.5140795205084797,
      0.5110126893138687,
      0.5079740543275895,
      0.504963355958519,
      0.5019803223431389,
      0.4990246741995694,
      0.49609612839340117,
      0.4931944000248963,
      0.49031920429189657,
      0.48747025762548485,
      0.4846472784595223,
      0.4818499880186527,
      0.47907811026207064,
      0.4763313724093096,
      0.4736095049800466,
      0.47091224203689386,
      0.46823932096970955,
      0.46559060749311315,
      0.46296623860854824,
      0.460366290044901,
      0.45779073646684876,
      0.4552394821030539,
      0.4527123823936572,
      0.45020925927597477,
      0.4477299119931891,
      0.44527412481161843,
      0.4428416723099628,
      0.44043232325108406,
      0.4380458432026743,
      0.43568199642482,
      0.4333405471591094,
      0.43102126065393803,
      0.4287239037269973,
      0.4264482450702066,
      0.4241940556040284,
      0.4219611088315984,
      0.41974918073630035,
      0.4175580500109682,
      0.4153874979844282,
      0.4132373087279454,
      0.4111072688082677,
      0.4089971677297807,
      0.4069067975915196,
      0.4048359531036227,
      0.4027844314282054,
      0.40075203230296935,
      0.3987385580153423,
      0.3967438133545117,
      0.3947676054904336,
      0.3928097440339658,
      0.39087004089695154,
      0.38894831033327343,
      0.38704436893242095,
      0.38515803551488165,
      0.38328913100520007,
      0.38143747861310595,
      0.3796029037385803,
      0.3777852337278825,
      0.37598429808993794,
      0.3741999284619176,
      0.3724319583751479,
      0.37068022332905254,
      0.36894456079175325,
      0.3672248104331282,
      0.36552090471954357,
      0.3638328303741534,
      0.3621605307822516,
      0.3605039193535405,
      0.35886288887102497,
      0.35723731793786057,
      0.3556270756899003,
      0.3540320249950859,
      0.3524520248383497,
      0.3508869320021007,
      0.3493366022013917,
      0.3478008952313995,
      0.34627967687273875,
      0.3447728113237234,
      0.34328016128420263,
      0.34180158881900025,
      0.3403369559871569,
      0.3388861252654087,
      0.3374489599198584,
      0.3360253241998404,
      0.3346150835585808,
      0.3332181047487064,
      0.3318342557296639,
      0.3304634057680335,
      0.32910542560440964,
      0.3277601873052601,
      0.32642756432130243,
      0.32510743156190197,
      0.323799665243813,
      0.3225041429718862,
      0.32122074363234093,
      0.3199493474414544,
      0.31868983594663436,
      0.31744209209463087,
      0.3162059996158811,
      0.31498137578694513,
      0.31376799978771475,
      0.3125656848313401,
      0.311374268765696,
      0.3101936071625233,
      0.30902356883689386,
      0.30786403229232684,
      0.30671488339621755,
      0.3055760135013657,
      0.30444731805696107,
      0.3033286959463543,
      0.30222004865818025,
      0.30112127989841075,
      0.3000322950445845,
      0.2989530011645907,
      0.2978833066845337,
      0.2968231212897574,
      0.2957723556641029,
      0.29473092172815507,
      0.29369873628843146,
      0.2926757350763652,
      0.291661855596291,
      0.2906570293468445,
      0.2896611837868344,
      0.28867424357237537,
      0.2876961317191931,
      0.28672677026163623,
      0.2857660806912517,
      0.28481398441772426,
      0.28387040305101524,
      0.28293525845412065,
      0.2820084729745183,
      0.2810899694983412,
      0.2801796715568796,
      0.2792775032186681,
      0.27838338926244516,
      0.2774972551872292,
      0.27661902717320574,
      0.27574863219736784,
      0.27488599778257916,
      0.2740310522443443,
      0.273183724634505,
      0.2723439446490092,
      0.2715116427666512,
      0.27068675002113207,
      0.269869198220123,
      0.26905891984840696,
      0.26825584796073554,
      0.2674599163304344,
      0.2666710593459581,
      0.2658892120236557,
      0.26511431011178527,
      0.2643462899547004,
      0.26358508851192125,
      0.2628306433406728,
      0.2620828926948544,
      0.2613417752825291,
      0.26060722317058216,
      0.2598791559679982,
      0.2591574973574782,
      0.25844217676575604,
      0.2577331279790581,
      0.25703028801662414,
      0.2563335963210842,
      0.2556429941614092,
      0.25495842451297773,
      0.2542798315240356,
      0.25360716036801345,
      0.2529403570482672,
      0.25227936830770004,
      0.2516241415915289,
      0.25097462508891477,
      0.25033076745914395,
      0.2496925178516051,
      0.24905982614405137,
      0.2484326426867746,
      0.24781091825227944,
      0.2471946041131715,
      0.24658365195660967,
      0.24597801390155133,
      0.24537764264480189,
      0.24478249130373364,
      0.2441925133748638,
      0.24360766280808197,
      0.24302789401868244,
      0.2424531618247874,
      0.24188342153873593,
      0.2413186287675022,
      0.24075873957016364,
      0.2402037105153167,
      0.23965349848558695,
      0.23910806077586388,
      0.23856735512942276,
      0.23803133953361996,
      0.237499972461691,
      0.23697321283646913,
      0.2364510198172725,
      0.23593335308407448,
      0.23542017265235723,
      0.23491143886749608,
      0.23440711240022047,
      0.233907154357421,
      0.23341152614032265,
      0.23292018951968244,
      0.23243310669966225,
      0.23195024015421972,
      0.23147155264242558,
      0.23099700744099272,
      0.23052656798080698,
      0.2300601981582386,
      0.22959786213897185,
      0.22913952445560323,
      0.22868514991551306,
      0.22823470366246942,
      0.22778815125208346,
      0.22734545839778436,
      0.22690659120103474,
      0.22647151605182964,
      0.22604019967041136,
      0.22561260899718816,
      0.2251887113762605,
      0.22476847439677908,
      0.22435186593867995,
      0.22393885419399506,
      0.2235294077020943,
      0.2231234951950265,
      0.22272108569837454,
      0.22232214860742455,
      0.2219266534847471,
      0.22153457020200792,
      0.22114586894291982,
      0.22076052002890967,
      0.22037849419090016,
      0.21999976239701652,
      0.21962429579571058,
      0.21925206583779422,
      0.21888304401757858,
      0.21851720214860643,
      0.21815451225888272,
      0.2177949467793933,
      0.2174384784033492,
      0.21708508003543037,
      0.21673472488173068,
      0.2163873863627455,
      0.21604303819233525,
      0.21570165422885312,
      0.21536320867034786,
      0.21502767588184032,
      0.21469503059242315,
      0.21436524760992645,
      0.2140383019942147,
      0.21371416907832272,
      0.21339282436354248
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182813277287826,
      10.993081599170809,
      10.793136158506346,
      10.584860762348903,
      10.370149373550742,
      10.150894292321738,
      9.928777123293154,
      9.705321196256675,
      9.481947865714316,
      9.259979610205402,
      9.040612286133799,
      8.82487714310083,
      8.613617211257099,
      8.40747339250902,
      8.206881946530382,
      8.012082522403135,
      7.823134755618601,
      7.63994093212444,
      7.46227217067612,
      7.2897985060800154,
      7.122114755780955,
      6.958761127939471,
      6.799247194103761,
      6.643072830961209,
      6.489744604179129,
      6.338788285998809,
      6.189758828550721,
      6.042250142510575,
      5.895904373511096,
      5.750418099010418,
      5.605537917734294,
      5.461067571293552,
      5.316883478208959,
      5.17293111316693,
      5.029217772100533,
      4.885801211872007,
      4.742787657921788,
      4.600348607375314,
      4.458717284524289,
      4.318181703154639,
      4.179076155704029,
      4.041769640131045,
      3.9066491539206227,
      3.7741150846478217,
      3.6445730621104264,
      3.5184226964591985,
      3.396048292675172,
      3.277809051889843,
      3.164028686317187,
      3.0549882070409686,
      2.9509217264790597,
      2.8520141363752756,
      2.75840053865397,
      2.6701672234178115,
      2.5873503745612974,
      2.5099317379029626,
      2.4378394952999285,
      2.3709672367808317,
      2.3091784229895476,
      2.252311697209832,
      2.200150432112253,
      2.15241319823237,
      2.1087254828836497,
      2.068652211324451,
      2.0317543215206424,
      1.9975947324642465,
      1.965742786568311,
      1.9358015824894594,
      1.907455854213741,
      1.8804678443381264,
      1.8546510926044484,
      1.8298507418174188,
      1.8059401241006963,
      1.7828296767323555,
      1.760446879922274,
      1.7387310789944053,
      1.7176327500515909,
      1.697110639311404,
      1.6771301174240265,
      1.6576617556143607,
      1.6386793985592387,
      1.6201607892793257,
      1.6020856036278965,
      1.584434689209002,
      1.5671900270817352,
      1.5503346780511982,
      1.5338526961209291,
      1.5177290513493207,
      1.5019495599995707,
      1.486500821606536,
      1.4713701619325366,
      1.456545755463067,
      1.4420167599694729,
      1.4277728181052538,
      1.4138042019254315,
      1.4001018052837217,
      1.3866568142926825,
      1.373460697666828,
      1.360505214387658,
      1.3477825436352346,
      1.3352853184417808,
      1.323006382499748,
      1.3109387702787898,
      1.2990757194165852,
      1.2874106788318942,
      1.2759373133843686,
      1.2646495053907618,
      1.2535413535048843,
      1.2426071703781545,
      1.231841505382865,
      1.22123923673525,
      1.2107956198123007,
      1.2005062468656515,
      1.1903668191734873,
      1.1803731337227341,
      1.1705211756082463,
      1.1608072290345377,
      1.1512275275483235,
      1.1417783440932547,
      1.1324563451216552,
      1.1232583321316603,
      1.1141811899210867,
      1.1052218886370824,
      1.0963774846275254,
      1.0876451193642915,
      1.0790220184996893,
      1.0705054927633006,
      1.0620929368610545,
      1.0537818273175226,
      1.045569719994767,
      1.0374542480707583,
      1.0294331194787256,
      1.021504114486174,
      1.0136650831748695,
      1.0059139432952882,
      0.9982486771353571,
      0.9906673298578668,
      0.9831680071320122,
      0.975748872680827,
      0.9684081460089056,
      0.9611441006252918,
      0.9539550770131612,
      0.9468396496384853,
      0.9397965266998819,
      0.9328243987737004,
      0.9259219521014929,
      0.9190878769254713,
      0.9123208739541755,
      0.9056196592841199,
      0.8989829674900576,
      0.8924095805159412,
      0.8858986809384717,
      0.8794496739215467,
      0.8730618579526651,
      0.8667345313558005,
      0.8604672940425108,
      0.8542597486364276,
      0.8481113599981358,
      0.8420214975347158,
      0.8359897636240246,
      0.8300158972190815,
      0.824099476612188,
      0.8182399626005581,
      0.8124367312624728,
      0.8066890987303509,
      0.8009963403122575,
      0.7953577044179446,
      0.7897724237690591,
      0.7842397234145855,
      0.7787588270514595,
      0.7733289611596802,
      0.7679491823869953,
      0.7626182002432481,
      0.7573347911596295,
      0.7520978603961491,
      0.7469064159770085,
      0.7417595482654947,
      0.7366564147225297,
      0.7315962276241043,
      0.7265782448105712,
      0.7216017619702779,
      0.7166661067450439,
      0.7117706344152932,
      0.7069148517140105,
      0.7020985629920186,
      0.6973215494122897,
      0.6925835182643008,
      0.6878841228310817,
      0.6832232056091284,
      0.6786011833022846,
      0.6740188069422244,
      0.6694768521550911,
      0.6649757287581199,
      0.6605155841929939,
      0.6560963777176977,
      0.6517179349154844,
      0.6473799868523581,
      0.6430821985782577,
      0.6388241895749688,
      0.6346055487821175,
      0.6304258454427522,
      0.6262846368957489,
      0.622181474153975,
      0.618115906024039,
      0.6140874818064331,
      0.610095753374304,
      0.6061402765113384,
      0.6022206119968699,
      0.5983363264434197,
      0.5944869924569394,
      0.5906723026048857,
      0.5868921622149949,
      0.5831464298426654,
      0.5794348903409401,
      0.5757572772439875,
      0.5721132885734267,
      0.5685025985850551,
      0.5649248663343747,
      0.5613797410622836,
      0.557866866912842,
      0.5543858860314377,
      0.5509364406904332,
      0.5475181747044023,
      0.5441307347504213,
      0.5407737711913249,
      0.5374469383296256,
      0.5341498947283605,
      0.5308823036785189,
      0.5276440385580173,
      0.5244351440120211,
      0.5212555683799356,
      0.5181051800615092,
      0.5149837917897199,
      0.5118911780096602,
      0.5088270872016586,
      0.5057912508689708,
      0.50278338965292,
      0.49980321781762277,
      0.4968504462975693,
      0.4939247848528336,
      0.49102594382363385,
      0.48815363498067427,
      0.48530757244230904,
      0.4824874730511503,
      0.4796930568221095,
      0.4769240470825074,
      0.47418017053388245,
      0.47146115744002365,
      0.4687667416106665,
      0.4660969188101446,
      0.4634518437916928,
      0.4608315459352149,
      0.45823596621332885,
      0.45566498379262144,
      0.4531184354392735,
      0.4505961289666039,
      0.4480978526021149,
      0.4456233819359093,
      0.44317248447401353,
      0.4407449230593083,
      0.43834045827441803,
      0.4359588499874006,
      0.43359985855477745,
      0.4312632455086447,
      0.42894877411131443,
      0.4266562100096816,
      0.424385321176754,
      0.4221358781336225,
      0.41990765401915814,
      0.4177004248142634,
      0.4155139691869994,
      0.41334806859422757,
      0.41120250720772544,
      0.40907707184322867,
      0.4069715521212781,
      0.4048857402491779,
      0.4028194311625322,
      0.40077242223749127,
      0.3987445134637214,
      0.39673550734077495,
      0.39474520885430425,
      0.39277342537883436,
      0.3908199667620953,
      0.388884645132865,
      0.3869672749152924,
      0.3850676727704451,
      0.38318565769317586,
      0.3813210509095125,
      0.37947367577713564,
      0.3776433578164299,
      0.37582992466843373,
      0.374033205979966,
      0.3722530334443161,
      0.3704892407691981,
      0.3687416636475745,
      0.3670101397322676,
      0.36529458301837014,
      0.3635949775524529,
      0.361911271784099,
      0.3602433823354699,
      0.3585912036181407,
      0.3569546148982037,
      0.3553334853184902,
      0.3537276773287719,
      0.35213704912148514,
      0.3505614564382811,
      0.34900075372857664,
      0.34745479512224636,
      0.34592343733088615,
      0.3444065451027375,
      0.3429039828859129,
      0.34141561353836963,
      0.33994129926682837,
      0.338480902357411,
      0.33703428544595804,
      0.3356013118888493,
      0.33418184615982865,
      0.332775753815775,
      0.33138290165523604,
      0.3300031577773475,
      0.32863639171988973,
      0.32728247435877317,
      0.32594127791204913,
      0.32461267592171594,
      0.32329654327630525,
      0.32199275636396485,
      0.3207011928602627,
      0.31942173183690975,
      0.3181542536704248,
      0.316898640004802,
      0.31565473725556037,
      0.31442232505501183,
      0.3132012022888583,
      0.31199119584380036,
      0.31079215290756723,
      0.30960393563261074,
      0.30842641730383386,
      0.30725947942429077,
      0.3061030095294808,
      0.30495689996436515,
      0.3038210467405004,
      0.30269534869817727,
      0.3015797071103835,
      0.3004740251039235,
      0.299378207595154,
      0.2982921609896506,
      0.29721579291164985,
      0.29614901226787305,
      0.29509172900980063,
      0.294043854280478,
      0.2930053128382335,
      0.2919760431717287,
      0.29095597859082933,
      0.28994504725593023,
      0.2889431739277219,
      0.28795028109293347,
      0.2869662900424579,
      0.28599112129532855,
      0.28502469513371487,
      0.2840669318052117,
      0.283117751953482,
      0.28217707645161333,
      0.28124482666805245,
      0.28032092461926944,
      0.27940529298432143,
      0.2784978550955121,
      0.2775985350836428,
      0.2767072576693693,
      0.2758239481852016,
      0.27494853280266063,
      0.274080938494758,
      0.2732210928737165,
      0.2723689242339921,
      0.2715243615975361,
      0.2706873346845591,
      0.26985777389938287,
      0.2690356104199574,
      0.2682207759843401,
      0.2674132030989016,
      0.26661282495603444,
      0.2658195752269104,
      0.2650333883771492,
      0.26425419955227564,
      0.263481944465535,
      0.26271655944007877,
      0.261957981465506,
      0.26120614815485,
      0.2604609907979197,
      0.259722427588216,
      0.2589903807478174,
      0.25826477831955097,
      0.2575455527142716,
      0.2568326396939789,
      0.2561259775579739,
      0.25542550652910817,
      0.25473116837593357,
      0.2540429061804412,
      0.2533606640464447,
      0.25268438695192313,
      0.252014020705758,
      0.25134951179298226,
      0.2506908072732077,
      0.2500378548971722,
      0.2493906028946964,
      0.248749000069711,
      0.2481129957698339,
      0.24748253990879793,
      0.24685758278700043,
      0.2462380752059846,
      0.24562396841921608,
      0.24501521424958456,
      0.24441176498001874,
      0.24381357323271213,
      0.24322059206571764,
      0.24263277507112574,
      0.24205007619506572,
      0.24147244980036453,
      0.24089985080723142,
      0.2403322344540309,
      0.23976955642803036,
      0.2392117729085424,
      0.2386588403446562,
      0.23811071562825628,
      0.23756735605200655,
      0.23702871937083145,
      0.23649476366097855,
      0.23596544743503717,
      0.2354407295927116,
      0.23492056932220484,
      0.2344049262441382,
      0.23389376036625972,
      0.2333870320646068,
      0.2328847021300552,
      0.23238673165045332,
      0.2318930820593233,
      0.23140371512206437,
      0.23091859305063892,
      0.2304376783141784,
      0.22996093378159205,
      0.2294883226362565,
      0.2290198084064919,
      0.22855535497172647,
      0.22809492654433575,
      0.22763848764002012,
      0.22718600308730677,
      0.22673743805095767,
      0.2262927579928186,
      0.22585192876092347,
      0.22541491647659867,
      0.22498168744758174,
      0.2245522084510473,
      0.22412644658561026,
      0.22370436918809913,
      0.2232859438145808,
      0.22287113841334677,
      0.22245992118088095,
      0.22205226060965708,
      0.22164812546072277,
      0.2212474847751405,
      0.22085030796306682,
      0.22045656466489805,
      0.22006622474053938,
      0.2196792583612819,
      0.2192956357846468,
      0.2189153274855909,
      0.21853830431411236,
      0.218164537437859,
      0.2177939982477386,
      0.21742665844232203,
      0.21706248998621985,
      0.21670146508211513,
      0.21634355621999346,
      0.2159887362018976,
      0.21563697804054072,
      0.21528825501170476,
      0.21494254052886896,
      0.2145998083241331,
      0.21426003235011756,
      0.213923186797398,
      0.213589246099777,
      0.2132581849024865,
      0.21292997806926672,
      0.2126046007029269,
      0.21228202817950007,
      0.21196223597974684
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.18280556346133,
      10.993045074228071,
      10.793056158250183,
      10.58472814289514,
      10.369960530879839,
      10.150649795917902,
      9.928482446971572,
      9.70498422615707,
      9.481578162175952,
      9.259587516711624,
      9.040207819955286,
      8.824469664666033,
      8.61321516588404,
      8.40708413630209,
      8.206511660455003,
      8.011736208044795,
      7.822816296993713,
      7.639653207704347,
      7.462017192275236,
      7.289577456983917,
      7.121928110760791,
      6.95860846611592,
      6.799127896578921,
      6.6429863396370905,
      6.489690524335249,
      6.338767012679198,
      6.1897712731227355,
      6.042297880558404,
      5.895989442950329,
      5.750543041676044,
      5.605705972255398,
      5.461282195617211,
      5.3171483200439855,
      5.173249774493531,
      5.029594138494708,
      4.8862402039794155,
      4.743294276435207,
      4.60092758258334,
      4.459372976255805,
      4.3189179988443405,
      4.1798963722058495,
      4.042676873309036,
      3.9076465853580893,
      3.7752050091271587,
      3.645756854616363,
      3.5197008444022497,
      3.3974202851883786,
      3.279273190781412,
      3.1655824649435176,
      3.056628380405923,
      2.9526443913467184,
      2.853814818932923,
      2.760274284936405,
      2.672108687635837,
      2.589353129155126,
      2.5119880676616755,
      2.4399415561748548,
      2.373107479750258,
      2.3113490023184933,
      2.25450385278623,
      2.20235394834705,
      2.154616664413287,
      2.110916033972557,
      2.07081795555861,
      2.033884108703863,
      1.9996787886383538,
      1.9677729300994933,
      1.937771730975119,
      1.909361819045338,
      1.8823068000983167,
      1.856421373241931,
      1.831551763134012,
      1.8075712759456923,
      1.784390406117632,
      1.7619373077988798,
      1.7401516833573665,
      1.7189840708660218,
      1.6983934729184786,
      1.67834512996854,
      1.6588097003475937,
      1.6397610151090614,
      1.621176592764249,
      1.603036370505341,
      1.5853214044770072,
      1.5680138042783447,
      1.5510967183117206,
      1.5345542573626672,
      1.5183714240194313,
      1.5025340483051741,
      1.487028728580716,
      1.4718427789237765,
      1.4569641794255557,
      1.4423817493102624,
      1.4280851535813597,
      1.4140647008804135,
      1.4003113198138866,
      1.3868162268088347,
      1.3735709070287314,
      1.360567125259643,
      1.3477969316289677,
      1.3352526628164207,
      1.3229270283230476,
      1.3108131239915546,
      1.2989042552039296,
      1.2871939211937469,
      1.2756758230487886,
      1.2643438675384655,
      1.25319216864631,
      1.2422150470041413,
      1.2314070505606955,
      1.2207630371036584,
      1.2102782192983315,
      1.1999482007529827,
      1.1897688464553955,
      1.1797361930756867,
      1.1698463550876546,
      1.16009551800656,
      1.1504799650332442,
      1.140996136967161,
      1.1316405851840965,
      1.1224099713068731,
      1.113301065015474,
      1.1043107417119498,
      1.0954359777320213,
      1.0866738474535484,
      1.0780215224312955,
      1.0694762682637635,
      1.0610354410978386,
      1.0526964850143532,
      1.0444569280778015,
      1.0363143794083718,
      1.0282665260225,
      1.0203111296623966,
      1.0124460241888924,
      1.0046691126371272,
      0.9969783646100453,
      0.989371813615037,
      0.9818475545085433,
      0.9744037412121365,
      0.967038584303562,
      0.9597503489501485,
      0.9525374777713169,
      0.9453986360457446,
      0.938332480570724,
      0.9313376610800482,
      0.9244128304162694,
      0.9175566511442131,
      0.9107678008640616,
      0.9040449762423932,
      0.8973869072724322,
      0.8907927170117231,
      0.8842617843436468,
      0.8777933797656376,
      0.8713867490181603,
      0.8650414262981768,
      0.858757001892647,
      0.8525329244203572,
      0.8463685824676954,
      0.8402636187396519,
      0.8342177283549924,
      0.828230450129453,
      0.8223012088998146,
      0.8164293476737949,
      0.8106141520345732,
      0.8048548684892152,
      0.7991507186901984,
      0.7935009099755713,
      0.7879046431722572,
      0.7823611188044673,
      0.7768695413705844,
      0.7714291100550318,
      0.766038686984017,
      0.7606969437536292,
      0.7554027013024934,
      0.7501548987526386,
      0.7449525701328789,
      0.7397948259586085,
      0.7346808391150761,
      0.7296098337380832,
      0.7245810763030046,
      0.719593869028268,
      0.7146475444334768,
      0.709741567603316,
      0.704875722436294,
      0.7000497824087807,
      0.6952634459828724,
      0.6905163570603626,
      0.6858084069929153,
      0.681140040438713,
      0.6765120213506878,
      0.6719250933516009,
      0.6673796397916545,
      0.6628757856398848,
      0.6584134712964289,
      0.6539925057397684,
      0.6496126053464478,
      0.6452734217536459,
      0.640974562103932,
      0.636715604175913,
      0.6324961066238394,
      0.6283156166992756,
      0.6241736758606606,
      0.6200698235173059,
      0.6160036000916975,
      0.6119745489259182,
      0.6079822176509333,
      0.6040261590998541,
      0.600105931947433,
      0.5962211011296445,
      0.592371350950418,
      0.5885565827420604,
      0.5847766515031488,
      0.581031337838976,
      0.5773203702550118,
      0.573643441251112,
      0.5700002195841881,
      0.5663903581010228,
      0.5628135001702093,
      0.559269284148353,
      0.5557573462015499,
      0.5522773225595251,
      0.5488288514146659,
      0.5454115739385461,
      0.5420251345464692,
      0.5386691820153141,
      0.5353433696260042,
      0.5320473676090103,
      0.5287810951692556,
      0.5255445898234405,
      0.5223377799082584,
      0.5191605180332597,
      0.5160126042733143,
      0.5128938025526509,
      0.5098038528706873,
      0.5067424792574492,
      0.5037093955719861,
      0.5007043100787335,
      0.4977269282332741,
      0.49477695483148765,
      0.49185409535194524,
      0.4889580570305454,
      0.48608854951911085,
      0.4832452855627656,
      0.48042798106315154,
      0.47763635529106857,
      0.4748701310462665,
      0.47212903491771085,
      0.46941285199249866,
      0.4667216613658491,
      0.46405557686239596,
      0.46141459658566214,
      0.4587986379882665,
      0.4562075627715025,
      0.4536411943812638,
      0.45109933009368103,
      0.4485817498193986,
      0.4460882221393826,
      0.4436185087648536,
      0.44117236756318745,
      0.43874955461921367,
      0.43634982582269966,
      0.4339729376819691,
      0.4316186482833288,
      0.42928671773804256,
      0.4269769084748886,
      0.42468898543049494,
      0.42242271611310905,
      0.4201778707689027,
      0.41795422262640647,
      0.4157515476348618,
      0.41356962461192953,
      0.41140823506344515,
      0.4092671633619217,
      0.4071461964447254,
      0.4050451240999138,
      0.40296373872142993,
      0.4009018352960875,
      0.39885921152107034,
      0.3968356675685247,
      0.39483100613342137,
      0.3928450322806968,
      0.3908775535501638,
      0.3889283799883943,
      0.3869973239043444,
      0.3850841998826342,
      0.3831888248506,
      0.38131101804749185,
      0.3794506006914888,
      0.3776073962350519,
      0.375781230343278,
      0.3739719307491017,
      0.37217932728956576,
      0.37040325184395206,
      0.3686435381987831,
      0.36690002217038425,
      0.3651725930594015,
      0.3634612312643747,
      0.36176589246301666,
      0.36008649770148815,
      0.35842294409807124,
      0.3567751123525205,
      0.3551428721572145,
      0.3535260858090426,
      0.35192461090100374,
      0.3503383022554093,
      0.34876701325891535,
      0.34721059683299804,
      0.3456689059162412,
      0.34414179539366413,
      0.3426291282294856,
      0.3411307692861383,
      0.3396465818205548,
      0.3381764282963737,
      0.3367201710633861,
      0.33527767293222516,
      0.3338487975830407,
      0.33243340960600426,
      0.3310313746699036,
      0.3296425596293006,
      0.32826683277334434,
      0.32690406373444914,
      0.32555412339986634,
      0.32421688410572697,
      0.32289221957989034,
      0.3215800048880238,
      0.3202801164718494,
      0.31899243215271567,
      0.3177168309216613,
      0.3164531857263696,
      0.3152012981849487,
      0.3139609470604024,
      0.312731944345143,
      0.3115141259897956,
      0.31030734550962413,
      0.30911146941002143,
      0.30792637363834274,
      0.3067519412779551,
      0.3055880608778692,
      0.3044346251324406,
      0.30329152991829017,
      0.30215867388917983,
      0.30103595779995995,
      0.29992328428257287,
      0.29882055753862824,
      0.2977276831005039,
      0.2966445677871892,
      0.2955711195618529,
      0.2945072477237254,
      0.2934528650870838,
      0.29240790295925445,
      0.29137229779221274,
      0.29034597958415603,
      0.28932887394354273,
      0.2883209034610751,
      0.28732198898011463,
      0.28633205016012625,
      0.2853510063275943,
      0.28437877657428595,
      0.2834152800572953,
      0.2824604363367409,
      0.2815141654725522,
      0.2805763879823727,
      0.2796470250167432,
      0.2787259983706688,
      0.2778132305731043,
      0.2769086449404386,
      0.2760121654793279,
      0.275123716842786,
      0.27424322442775934,
      0.2733706143858994,
      0.272505813674611,
      0.27164874990707766,
      0.2707993513059957,
      0.2699575469769711,
      0.26912326668851533,
      0.2682964409086672,
      0.26747700075444075,
      0.2666648780067722,
      0.2658600051785291,
      0.26506231543205533,
      0.2642717425112232,
      0.2634882209045918,
      0.26271168570508674,
      0.2619420727391751,
      0.2611793183545553,
      0.26042335531857913,
      0.2596741013192557,
      0.258931476038182,
      0.25819540545218056,
      0.2574658201440516,
      0.2567426542793665,
      0.2560258446726508,
      0.2553153302320368,
      0.2546110515004833,
      0.2539129503811264,
      0.2532209698035924,
      0.25253505369946644,
      0.2518551467264791,
      0.25118119428792546,
      0.25051314252904466,
      0.24985093818327386,
      0.24919452843325215,
      0.2485438611039246,
      0.24789888461601264,
      0.24725954783982335,
      0.24662580014124352,
      0.24599759135302254,
      0.2453748719129757,
      0.24475759264802366,
      0.24414570491561946,
      0.243539160479842,
      0.2429379115414763,
      0.24234191082028916,
      0.24175111144842393,
      0.24116546690316873,
      0.24058493118242683,
      0.2400094587404447,
      0.23943900445045715,
      0.23887352355590882,
      0.23831297176293265,
      0.23775730516889546,
      0.2372064803323225,
      0.23666045421710352,
      0.23611918409978558,
      0.23558262771977612,
      0.23505074312564136,
      0.23452348885341634,
      0.2340008237754621,
      0.23348270715438676,
      0.23296909863436488,
      0.23245995825939036,
      0.23195524639103898,
      0.2314549237673072,
      0.23095895152446058,
      0.230467291182161,
      0.22997990454089165,
      0.2294967537837147,
      0.22901780141415762,
      0.22854301034775945,
      0.22807234367422852,
      0.22760576503095264,
      0.22714323825305846,
      0.22668472753336427,
      0.22623019750693502,
      0.22577961299371957,
      0.22533293916181166,
      0.22489014153905132,
      0.22445118593699356,
      0.22401603852839505,
      0.22358466578618347,
      0.22315703437237977,
      0.22273311135864043,
      0.22231286407903303,
      0.22189626013673056,
      0.2214832675003188,
      0.22107385442367206,
      0.220667989430211,
      0.2202656412854377,
      0.21986677902114637,
      0.21947137187153953,
      0.21907938929918078,
      0.21869080108524272,
      0.21830557731910216,
      0.21792368837640433,
      0.21754510503794755,
      0.21716979813946566,
      0.21679773894667004,
      0.21642889899747794,
      0.21606325000889903,
      0.21570076407711025,
      0.2153414134717325,
      0.2149851707362002,
      0.21463200868718862,
      0.21428190028788657,
      0.2139348187761075,
      0.2135907377680523,
      0.21324963098186542,
      0.21291147238113362,
      0.21257623617949145,
      0.2122438967441379,
      0.2119144288055686,
      0.21158780728668788,
      0.21126400734908723,
      0.2109430043000125,
      0.21062477374164168
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182797781275456,
      10.993008319045861,
      10.792975753290508,
      10.584594726803948,
      10.369770251942061,
      10.15040310317227,
      9.928184697546696,
      9.704643191963656,
      9.48120329805857,
      9.259189067897498,
      9.039795713900807,
      8.824053181897785,
      8.612802683616628,
      8.406682956150481,
      8.206127920129642,
      8.011374871129364,
      7.82248121547412,
      7.639347234350721,
      7.461742326700897,
      7.289334865924676,
      7.1217180906379545,
      6.958430445708422,
      6.798981260420223,
      6.642870525701999,
      6.4896051284335075,
      6.33871221082306,
      6.1897479688022194,
      6.042307639127289,
      5.89603429217891,
      5.750625509968835,
      5.605829281582306,
      5.461449793376909,
      5.317363854117532,
      5.173516856427727,
      5.029916642124032,
      4.886623048177613,
      4.743742511840267,
      4.60144601143391,
      4.4599660540206285,
      4.319589733061592,
      4.180650223218278,
      4.0435160989182855,
      3.9085745423534277,
      3.7762241853776026,
      3.6468688319293157,
      3.5209063292111455,
      3.398719031684108,
      3.2806637611652585,
      3.1670625741957075,
      3.0581949969260447,
      2.954293815238382,
      2.855542766917695,
      2.7620759785745896,
      2.6739789405006604,
      2.5912856596303158,
      2.513975289137373,
      2.4419757929814567,
      2.3751812758158963,
      2.3134545953948584,
      2.2566324348036098,
      2.2044952638823867,
      2.1567592424903346,
      2.113046966121391,
      2.0729253652174675,
      2.0359568668548955,
      2.00170717337448,
      1.969748778846699,
      1.9396889719174633,
      1.9112162753424757,
      1.8840956590171338,
      1.8581429608316042,
      1.8332054811282752,
      1.8091565216041292,
      1.7859065860941539,
      1.7633845628546778,
      1.7415305795204148,
      1.7202952096787818,
      1.699637621371759,
      1.6795229331021142,
      1.659921892276092,
      1.6408083881386053,
      1.6221596968152305,
      1.6039559312974991,
      1.5861783611567906,
      1.5688092387490398,
      1.5518318013767516,
      1.535230218105107,
      1.5189895252745758,
      1.5030955673498902,
      1.4875349431233995,
      1.4722949552196152,
      1.4573635641711806,
      1.4427293459666264,
      1.4283816723889062,
      1.4143108691331354,
      1.4005079127394453,
      1.3869640610976852,
      1.3736708248256209,
      1.36061998197952,
      1.3478035864621714,
      1.335213971296369,
      1.3228437488405664,
      1.3106858084903348,
      1.2987333113338002,
      1.28697968854469,
      1.2754186662200424,
      1.2640442076373875,
      1.2528504689722089,
      1.241831802142626,
      1.2309828237406146,
      1.2202985007977616,
      1.2097741906841326,
      1.1994056489993372,
      1.189188742393401,
      1.1791194178081057,
      1.169193805550152,
      1.159408275721982,
      1.1497590690966302,
      1.1402425020341953,
      1.1308550234404458,
      1.1215932097266008,
      1.1124537594987773,
      1.1034334869917684,
      1.0945293168184147,
      1.0857382813343832,
      1.0770575164252139,
      1.068484257318312,
      1.0600158341379413,
      1.051649667783898,
      1.043383265949535,
      1.0352142200106378,
      1.0271402008191368,
      1.0191589558074945,
      1.011268305995916,
      1.0034661425096045,
      0.9957504240430437,
      0.988119173962442,
      0.9805704778709208,
      0.9731024809362826,
      0.9657133854996449,
      0.9584014922593281,
      0.9511653815309214,
      0.9440037043869935,
      0.9369150726441865,
      0.9298980998880799,
      0.9229514089025599,
      0.9160736374326017,
      0.9092634424521517,
      0.9025195031566334,
      0.8958408660774567,
      0.8892268753278948,
      0.8826767763790254,
      0.8761897577443023,
      0.8697652782921377,
      0.8634029203541811,
      0.8571021196891685,
      0.8508622795933177,
      0.8446830736145047,
      0.8385641581632554,
      0.8325050365576194,
      0.8265051005229956,
      0.8205636619829167,
      0.8146799772076941,
      0.8088532650085717,
      0.8030827205509579,
      0.7973675257389192,
      0.7917068572179392,
      0.7860998922219495,
      0.7805458128432223,
      0.7750438091461086,
      0.7695929770714355,
      0.7641920224965649,
      0.7588396652664321,
      0.7535347630086128,
      0.7482762831425485,
      0.7430632814608724,
      0.7378948851435463,
      0.7327702796549154,
      0.7276886986277145,
      0.7226494158452295,
      0.7176517388960475,
      0.7126950844942445,
      0.7077792015295562,
      0.7029038583268262,
      0.698068746546419,
      0.6932735023110695,
      0.6885180380109902,
      0.6838028097786386,
      0.6791285858403343,
      0.6744960936038182,
      0.6699057015203189,
      0.6653575207706081,
      0.66085147872484,
      0.6563873720447614,
      0.6519649054090109,
      0.6475837191552171,
      0.6432434097877752,
      0.6389435446340572,
      0.634683672347526,
      0.630463330485447,
      0.6262820511015427,
      0.6221393644473235,
      0.6180348020927497,
      0.613967898942115,
      0.6099381942548416,
      0.605945232539792,
      0.6019885644803887,
      0.5980677472324195,
      0.5941824448158863,
      0.5903325526312273,
      0.5865179261632902,
      0.5827383442267199,
      0.5789935321191791,
      0.575283178341838,
      0.5716069466701635,
      0.5679644846570286,
      0.5643554301982896,
      0.560779415775315,
      0.557236071763308,
      0.5537250286373321,
      0.5502459187467731,
      0.5467983772564591,
      0.5433820431750124,
      0.5399965596598264,
      0.5366415744142677,
      0.5333167728084388,
      0.5300221010663693,
      0.5267575790544791,
      0.5235231210493527,
      0.5203185681881203,
      0.5171437107982431,
      0.5139983045862878,
      0.5108820822404329,
      0.5077947612482486,
      0.5047360497382615,
      0.5017056505674663,
      0.4987032638727165,
      0.4957285895712881,
      0.4927813284443474,
      0.4898611832842925,
      0.48696785944818094,
      0.4841010653794112,
      0.48126051274346554,
      0.4784459167639282,
      0.4756569963534123,
      0.47289347414166205,
      0.47015518909623305,
      0.467442275943003,
      0.4647548134438986,
      0.46209277407246097,
      0.4594560561704229,
      0.45684450665271226,
      0.4542579374681466,
      0.45169613668655706,
      0.449158876795341,
      0.4466459202082831,
      0.44415702330436635,
      0.4416919391623923,
      0.4392504195616644,
      0.43683221648474907,
      0.43443708282228266,
      0.4320647731226214,
      0.42971504415952433,
      0.4273876551682982,
      0.4250823680051174,
      0.4227989472055106,
      0.42053716022210913,
      0.4182967773081397,
      0.4160775715812986,
      0.4138793190900485,
      0.4117017987046086,
      0.4095447920617852,
      0.40740808369060255,
      0.40529146081036677,
      0.40319471318303307,
      0.40111763334923334,
      0.3990600166392296,
      0.39702166080584556,
      0.39500236614368767,
      0.39300193548401385,
      0.3910201740662499,
      0.38905688969227326,
      0.3871118924519188,
      0.38518499478238666,
      0.383276011403589,
      0.38138475933312527,
      0.3795110578793777,
      0.3776547284344173,
      0.37581559460073244,
      0.3739934821432813,
      0.37218821897043636,
      0.37039963494049255,
      0.36862756200180663,
      0.3668718341327709,
      0.3651323146746914,
      0.3634089746086571,
      0.36170177904374445,
      0.3600106550566815,
      0.3583355034382916,
      0.35667620708340514,
      0.35503263651348377,
      0.3534046542062135,
      0.3517921173657421,
      0.3501948800600108,
      0.34861279465636447,
      0.34704571279012486,
      0.34549348604749314,
      0.3439559667471007,
      0.3424330084158351,
      0.3409244722959843,
      0.33943022367681536,
      0.3379501261005132,
      0.3364840422256216,
      0.335031834684071,
      0.3335933664267728,
      0.3321685012462802,
      0.3307571039565015,
      0.329359040446788,
      0.32797417761041897,
      0.3266023839363365,
      0.32524352915029625,
      0.3238974841511376,
      0.32256412143307994,
      0.32124331479916346,
      0.31993493935757694,
      0.31863887166104893,
      0.3173549895187808,
      0.31608314127811593,
      0.3148231017362734,
      0.31357466208253504,
      0.31233764291879035,
      0.3111118861702914,
      0.3098972492364542,
      0.3086936011186234,
      0.3075008192506261,
      0.3063187875170593,
      0.30514739465019797,
      0.3039865332799403,
      0.3028360989202695,
      0.30169598961401345,
      0.30056610548439283,
      0.29944634838184925,
      0.2983366217015648,
      0.2972368302312218,
      0.2961468799135029,
      0.29506667793022834,
      0.29399613249719414,
      0.29293515984703555,
      0.29188369536958625,
      0.2908416721594707,
      0.28980901742211346,
      0.2887856545269901,
      0.2877715043206201,
      0.2867664861493153,
      0.28577051845555407,
      0.284783519217628,
      0.28380540645026864,
      0.28283609829744144,
      0.28187551330307253,
      0.2809235705424657,
      0.27998018974226246,
      0.27904529130031747,
      0.2781187962183216,
      0.2772006261886649,
      0.2762907035941027,
      0.27538895163649785,
      0.2744952942772874,
      0.27360965621835814,
      0.2727319629483901,
      0.27186214060104996,
      0.27100011605649793,
      0.27014581689254424,
      0.2692991715031653,
      0.2684601089017469,
      0.2676285588438021,
      0.2668044517865791,
      0.2659877189275296,
      0.2651782920537696,
      0.2643761036732717,
      0.2635810869704633,
      0.26279317581428485,
      0.2620123046415429,
      0.26123840854523184,
      0.2604714217502532,
      0.2597112644828385,
      0.2589578529767862,
      0.25821111039263916,
      0.257470965117682,
      0.2567373493149904,
      0.25601019807159325,
      0.25528944877350784,
      0.2545750406036274,
      0.25386691404593087,
      0.25316501080144793,
      0.2524692736194503,
      0.2517796460686338,
      0.2510960724381087,
      0.2504184977556598,
      0.24974686770639276,
      0.24908112850284153,
      0.24842122702379063,
      0.2477671106247735,
      0.2471187271916366,
      0.24647602511952452,
      0.24583895331905473,
      0.24520746124961568,
      0.24458149877620003,
      0.2439610162821275,
      0.24334596468165032,
      0.24273629529451407,
      0.24213195982338917,
      0.24153291054897336,
      0.24093910011972827,
      0.24035048175026558,
      0.239767009001407,
      0.23918863586695946,
      0.23861531679825013,
      0.2380470066156082,
      0.2374836606884358,
      0.23692523474799224,
      0.23637168477767925,
      0.23582296737509886,
      0.23527903945435147,
      0.2347398583949381,
      0.23420538196310026,
      0.23367556823450683,
      0.23315037569599964,
      0.23262976323426923,
      0.2321136901514029,
      0.23160211610539583,
      0.23109500116642823,
      0.23059230572203346,
      0.23009399052297067,
      0.22960001669241914,
      0.22911034567273703,
      0.22862493932595268,
      0.22814375987044808,
      0.2276667698568071,
      0.22719393217044884,
      0.22672521007349533,
      0.22626056710798056,
      0.2257999671146066,
      0.2253433743287791,
      0.22489075337615594,
      0.22444206910442432,
      0.22399728670817765,
      0.2235563717152023,
      0.22311928998659866,
      0.22268600755261483,
      0.22225649098360922,
      0.22183070702478183,
      0.22140862271507716,
      0.2209902054943665,
      0.22057542298122032,
      0.2201642430822205,
      0.21975663396214845,
      0.21935256393880007,
      0.21895200167090972,
      0.21855491620740694,
      0.21816127685983389,
      0.21777105326662133,
      0.21738421531856397,
      0.21700073327610234,
      0.2166205775442811,
      0.21624371886805574,
      0.21587012828724347,
      0.21549977710494012,
      0.21513263688280737,
      0.21476867941135203,
      0.2144078767067272,
      0.21405020107183448,
      0.21369562510761111,
      0.21334412157270397,
      0.21299566349815038,
      0.21265022421407898,
      0.2123077772500008,
      0.2119682963887618,
      0.21163175564481196,
      0.21129812926902797,
      0.21096739174150694,
      0.21063951773969053,
      0.2103144821709154,
      0.2099922601929455,
      0.20967282722280664,
      0.20935615888294828
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.18278998779808,
      10.99297145490684,
      10.79289502281919,
      10.584460524430385,
      10.369578442398131,
      10.150153919355809,
      9.927883297958164,
      9.70429716823231,
      9.480821939648703,
      9.2587824702422,
      9.039373670613022,
      8.82362485929332,
      8.612376363192471,
      8.406265859050214,
      8.205726117792658,
      8.010993276608843,
      7.822123638242518,
      7.639016489143277,
      7.461440376282374,
      7.289062836224902,
      7.1214761532940445,
      6.9582179997369265,
      6.798797659336113,
      6.64271517146522,
      6.4894775757340115,
      6.338612520433243,
      6.189676994078865,
      6.042266898487677,
      5.896025768951784,
      5.750651687753998,
      5.605893337021328,
      5.461555143236276,
      5.317514134151414,
      5.173715682021974,
      5.030167673323798,
      4.886931026242949,
      4.7441125777747315,
      4.60188308939577,
      4.460474754227003,
      4.3201742504895995,
      4.18131423818587,
      4.044263113730633,
      3.9094081741005287,
      3.777147206312359,
      3.647883126257145,
      3.5220129208389523,
      3.3999181201458533,
      3.2819543430439415,
      3.1684426699324657,
      3.0596618687140316,
      2.955844039959725,
      2.8571723187074216,
      2.7637803143007877,
      2.675752921409194,
      2.593123054571819,
      2.5158687054726676,
      2.443917722651121,
      2.3771641383480557,
      2.3154705223070424,
      2.2586727746636184,
      2.206549899081166,
      2.158816814312193,
      2.115094646485235,
      2.074951302790319,
      2.037949950503492,
      2.003657703652759,
      1.9716485763522147,
      1.941531941750074,
      1.9129982237742018,
      1.8858137599301734,
      1.859795488482558,
      1.8347917906644833,
      1.8106760044471202,
      1.7873586352139461,
      1.7647693152827324,
      1.7428485904851023,
      1.7215470688401087,
      1.7008240807360677,
      1.6806447339459558,
      1.6609797295497568,
      1.641803179791496,
      1.6230920765884085,
      1.604826538379661,
      1.5869880493917896,
      1.5695590230502392,
      1.5525227924949558,
      1.5358635903247508,
      1.5195664912517037,
      1.5036173586585055,
      1.4880027950192758,
      1.472710095296197,
      1.4577272031554012,
      1.4430426710879614,
      1.428645622748767,
      1.4145260849240562,
      1.4006750646138963,
      1.3870838762650795,
      1.3737440690678364,
      1.360647445075423,
      1.3477860701924076,
      1.335152281131705,
      1.3227386869074396,
      1.310538167594377,
      1.2985438713983977,
      1.286749209143248,
      1.2751478475075926,
      1.2637337016281398,
      1.2525009265068603,
      1.2414439089929254,
      1.2305572515733925,
      1.2198358753230134,
      1.209275104518056,
      1.1988706742224795,
      1.1886184481522366,
      1.1785145708194131,
      1.1685554073001054,
      1.1587371693685287,
      1.1490559695621125,
      1.13950806314674,
      1.1300898476211447,
      1.120797855008445,
      1.1116287450485174,
      1.1025792973884985,
      1.093646408294342,
      1.0848270856056252,
      1.076118443640125,
      1.0675176978177852,
      1.0590221606540595,
      1.0506292371094943,
      1.0423364205874661,
      1.0341412890892012,
      1.0260415012898432,
      1.0180347932122675,
      1.0101189750053856,
      1.0022919280962972,
      0.9945516017120217,
      0.9868960103090461,
      0.9793232310072716,
      0.9718314011411222,
      0.9644187155823647,
      0.9570836017889105,
      0.9498247006419419,
      0.94264061238267,
      0.935529909444145,
      0.9284911730453795,
      0.9215229989534199,
      0.9146240027068582,
      0.9077928224870415,
      0.9010284109871732,
      0.8943300612907942,
      0.8876969957492121,
      0.8811283541348284,
      0.8746235080214858,
      0.8681820230001298,
      0.8618033259123421,
      0.8554868312053726,
      0.8492322363220508,
      0.8430391638311973,
      0.8369070849708067,
      0.830835360745853,
      0.8248232736779085,
      0.8188700516564559,
      0.8129748861909365,
      0.8071369464322947,
      0.8013553892051289,
      0.7956293668086343,
      0.7899580327612246,
      0.784340546372445,
      0.778776075851698,
      0.7732638005758916,
      0.767802644075411,
      0.7623912531753608,
      0.7570283917573696,
      0.7517129511448818,
      0.7464439248516708,
      0.7412203884561357,
      0.7360414841971951,
      0.730906409084698,
      0.7258144055295345,
      0.7207647537086517,
      0.7157568232999524,
      0.7107903072244008,
      0.70586497161053,
      0.700980503357582,
      0.6961365318439082,
      0.6913329678648774,
      0.686570265507912,
      0.6818491905720875,
      0.6771704674647356,
      0.672534459114906,
      0.6679412697068454,
      0.6633908183435496,
      0.6588828926797569,
      0.6544171879970168,
      0.6499933351170981,
      0.6456109209761561,
      0.6412695033208878,
      0.6369686211734265,
      0.6327078027770392,
      0.6284865709453245,
      0.6243044469265725,
      0.6201609532797662,
      0.6160556159749581,
      0.6119879657775693,
      0.6079575389978445,
      0.603963878194119,
      0.6000065326555238,
      0.5960851359536389,
      0.592199575830729,
      0.5883497113243231,
      0.5845353217578156,
      0.5807561307368222,
      0.5770118235520121,
      0.5733020597745526,
      0.5696264824323132,
      0.5659847240257265,
      0.562376411565882,
      0.5588011696334261,
      0.555258622995787,
      0.55174839820657,
      0.5482701246001244,
      0.5448234352704967,
      0.5414079676312491,
      0.5380233638133691,
      0.5346693178241737,
      0.5313457935828927,
      0.5280527977750482,
      0.5247902338301497,
      0.5215579336109537,
      0.5183556794992764,
      0.5151832200397961,
      0.5120402813305077,
      0.5089265748081686,
      0.5058418028291422,
      0.502785662981009,
      0.4997578504261011,
      0.4967580602460756,
      0.49378598847126437,
      0.49084133330057217,
      0.48792379560073507,
      0.48503307952606356,
      0.48216889252405676,
      0.4793309457444252,
      0.4765189540395183,
      0.47373263609103083,
      0.47097190373286163,
      0.4682369015459605,
      0.465527681485029,
      0.4628441957835026,
      0.46018632742084314,
      0.4575539114603201,
      0.45494675023055203,
      0.45236462400616545,
      0.44980729867472047,
      0.4472745311033483,
      0.4447660726824373,
      0.4422816718978604,
      0.4398210764755037,
      0.4373840345460677,
      0.4349702954196515,
      0.4325796102275169,
      0.4302117324335073,
      0.4278664179882266,
      0.4255434255594525,
      0.4232425166869052,
      0.42096345591317724,
      0.41870601056095214,
      0.41646995089348254,
      0.414255050074099,
      0.41206108420486337,
      0.40988783224083336,
      0.40773507598375996,
      0.4056026000276657,
      0.403490191733467,
      0.4013976411046649,
      0.3993247409205946,
      0.39727128644062004,
      0.3952370754928904,
      0.39322190861707135,
      0.39122558877852726,
      0.3892479213908149,
      0.38728871429049166,
      0.38534777769018785,
      0.38342492421094726,
      0.3815199686638021,
      0.3796327282162526,
      0.3777630221293739,
      0.37591067198150485,
      0.3740755015652692,
      0.3722573366349193,
      0.37045600516558463,
      0.36867133713298283,
      0.3669031646269691,
      0.3651513328278241,
      0.36341578740846053,
      0.36169650522387076,
      0.35999342101728476,
      0.358306440498882,
      0.35663544944268977,
      0.35498031988329837,
      0.3533409148091099,
      0.3517170914198898,
      0.3501087032658634,
      0.3485156017343817,
      0.34693763729648175,
      0.3453746603398867,
      0.3438265216933391,
      0.3422930729974749,
      0.3407741667187746,
      0.33926966260047,
      0.33777942607412526,
      0.3363033210908641,
      0.3348412105780034,
      0.3333929574998238,
      0.3319584251014354,
      0.33053747727871524,
      0.329129978872038,
      0.32773579591016677,
      0.3263547955000728,
      0.3249868460749754,
      0.32363181744151603,
      0.32228958077908954,
      0.3209600084893676,
      0.3196429744304883,
      0.31833835382351844,
      0.3170460232895011,
      0.31576579721839426,
      0.31449744379355965,
      0.31324076360338665,
      0.3119955834823345,
      0.31076174951400165,
      0.3095391219106211,
      0.3083275712409951,
      0.3071269757637339,
      0.30593721970382737,
      0.3047581918040907,
      0.30358978424842115,
      0.3024318921563904,
      0.30128441290916275,
      0.3001472458898056,
      0.2990202920516538,
      0.2979034538987181,
      0.2967966351904029,
      0.29569974098078744,
      0.2946126775346134,
      0.2935353522208537,
      0.29246768653558053,
      0.2914096160797967,
      0.2903610710185837,
      0.28932197629165374,
      0.28829225345529264,
      0.2872718217216862,
      0.2862605989631721,
      0.28525850227821264,
      0.28426544860455216,
      0.2832813547963457,
      0.2823061381075454,
      0.28133971619234405,
      0.28038200718271095,
      0.27943292986887286,
      0.2784924037286702,
      0.2775603489843112,
      0.2766366865338729,
      0.27572133803732396,
      0.2748142258520749,
      0.2739152731487094,
      0.27302440387622173,
      0.2721415427297304,
      0.27126661509480976,
      0.2703995471973748,
      0.2695402659254429,
      0.26868869880540475,
      0.2678447742089902,
      0.2670084212832205,
      0.266179569780858,
      0.2653581501214691,
      0.26454409345469454,
      0.2637373316239091,
      0.2629377970809928,
      0.2621454230575273,
      0.26136014340754826,
      0.2605818926812557,
      0.2598105956189969,
      0.25904616621940085,
      0.25828852419987275,
      0.2575375950891318,
      0.2567933087406768,
      0.2560555983710413,
      0.25532439950816893,
      0.2545996497628934,
      0.25388128825132655,
      0.25316925537890383,
      0.25246349257797573,
      0.25176394222726733,
      0.25107054749787977,
      0.2503832523549693,
      0.24970200140907262,
      0.24902673984629084,
      0.2483574133601584,
      0.2476939682632559,
      0.24703635149897926,
      0.24638451045196963,
      0.24573839309074916,
      0.24509794783239713,
      0.24446312356113892,
      0.2438338698268967,
      0.2432101365368535,
      0.24259187403000743,
      0.24197903322938596,
      0.24137156543999613,
      0.2407694224534451,
      0.24017255660316053,
      0.23958092051592808,
      0.23899446727196352,
      0.23841315043874342,
      0.23783692403039974,
      0.2372657425193859,
      0.2366995608752745,
      0.23613833435065906,
      0.2355820186496393,
      0.23503056991973287,
      0.23448394466896955,
      0.23394209983679332,
      0.23340499279012572,
      0.23287258119374896,
      0.23234482321224081,
      0.2318216774593327,
      0.231303102872399,
      0.23078905874083244,
      0.23027950463364194,
      0.2297744005316217,
      0.22927370696101973,
      0.2287773847471102,
      0.2282853949982745,
      0.22779769921796444,
      0.22731425921431583,
      0.22683503729103416,
      0.22635999593096687,
      0.2258890979635679,
      0.22542230673375133,
      0.22495958578909384,
      0.22450089902563708,
      0.22404621068216643,
      0.2235954853358999,
      0.22314868792465578,
      0.22270578366841365,
      0.2222667381701456,
      0.22183151726347078,
      0.22140008706464043,
      0.2209724139236518,
      0.22054846470711728,
      0.22012820639582065,
      0.21971160621705807,
      0.21929863172690595,
      0.21888925076633323,
      0.21848343154576036,
      0.21808114262890765,
      0.2176823527907996,
      0.2172870311819509,
      0.21689514713737126,
      0.2165066704191749,
      0.21612157090058912,
      0.21573981881025997,
      0.2153613847996996,
      0.2149862396050267,
      0.21461435424372796,
      0.21424570003374616,
      0.2138802485122469,
      0.21351797155857274,
      0.2131588412639715,
      0.21280282985303708,
      0.21244990993647797,
      0.21210005438331847,
      0.21175323621965306,
      0.2114094287824971,
      0.21106860562014598,
      0.21073074057145802,
      0.210395807617197,
      0.2100637810117356,
      0.20973463521220306,
      0.20940834501194427,
      0.20908488534435482,
      0.20876423136719666,
      0.20844635849676993,
      0.2081312423666668
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182782148239161,
      10.992934304075154,
      10.792813554120649,
      10.584324901771845,
      10.36938424849329,
      10.149901102669874,
      9.92757618484809,
      9.703943182237428,
      9.480430217393735,
      9.258362977552096,
      9.038936092483965,
      8.823178274975364,
      8.611928986232366,
      8.405824859618765,
      8.205297530000637,
      8.010581982678154,
      7.8217334206506886,
      7.638650135714493,
      7.461099821596909,
      7.288749164684968,
      7.121189269898106,
      6.957957282399222,
      6.798562432299203,
      6.642504797007192,
      6.4892915606721315,
      6.338450843541278,
      6.1895404172391375,
      6.042156878953627,
      5.895944234698485,
      5.7506010014672615,
      5.605876561720898,
      5.4615756758729,
      5.317575618212787,
      5.1738217622212535,
      5.030322068389089,
      4.887138541847715,
      4.744378446950607,
      4.602212374539696,
      4.460872250684344,
      4.320644384823566,
      4.181860965476208,
      4.0448901812413744,
      3.910119473332962,
      3.7779458753909236,
      3.6487714388788106,
      3.5229923077024092,
      3.4009891983879186,
      3.283116526506944,
      3.1696943864337066,
      3.061000769965402,
      2.957267069855078,
      2.858675790228792,
      2.7653599921044303,
      2.6774037142713536,
      2.5948387772430945,
      2.517642332868079,
      2.4457420624326196,
      2.3790317699864305,
      2.317373709557016,
      2.2606029720288343,
      2.208497060695006,
      2.1607696089048964,
      2.117040219186749,
      2.076877751089489,
      2.0398460922772554,
      2.0055137458974324,
      1.9734562111325826,
      1.943284954221252,
      1.9146923279455508,
      1.8874460493426275,
      1.8613641663345664,
      1.8362961218181997,
      1.8121154083981517,
      1.788732462446034,
      1.7660776570011505,
      1.7440919562296282,
      1.7227260088970244,
      1.7019393094612365,
      1.6816970207237967,
      1.6619697236492474,
      1.6427317544698847,
      1.623959925992224,
      1.60563424856092,
      1.5877364157646334,
      1.570249010233648,
      1.553155466565649,
      1.5364400831649931,
      1.5200879750227054,
      1.504085026220913,
      1.4884178442516405,
      1.4730737172413706,
      1.458040573515034,
      1.443306943617582,
      1.4288619243258218,
      1.4146953149100325,
      1.4007978219531365,
      1.3871607723884298,
      1.3737757707542544,
      1.3606346573389048,
      1.3477295224529744,
      1.3350527157408263,
      1.3225968506740144,
      1.3103548052788305,
      1.298319720193819,
      1.2864849948915138,
      1.274844281822917,
      1.2633914794570518,
      1.252120724874455,
      1.2410263706980806,
      1.2301029772485994,
      1.2193454471916427,
      1.2087490773623726,
      1.1983096838052447,
      1.1880234075049094,
      1.1778864597487442,
      1.1678950551434208,
      1.1580452336190996,
      1.1483330536733036,
      1.1387547296622622,
      1.1293066235198397,
      1.1199852357183204,
      1.1107871966197391,
      1.1017092616045454,
      1.0927483058390006,
      1.0839013181509904,
      1.075165395413515,
      1.0665377375107912,
      1.0580156424009932,
      1.0495965017544884,
      1.0412777962207331,
      1.0330570919701365,
      1.0249320368498969,
      1.016900356780679,
      1.0089598522565464,
      1.0011083951661564,
      0.9933439259481639,
      0.9856644510430369,
      0.9780680398908482,
      0.9705528219942465,
      0.963117053585873,
      0.9557592919823428,
      0.9484781388561672,
      0.9412721497779303,
      0.9341398625955,
      0.9270798299657228,
      0.9200906241173668,
      0.9131708403710828,
      0.9063193285958823,
      0.8995353275317237,
      0.8928180371407693,
      0.8861665719052331,
      0.8795802013101445,
      0.8730584476291429,
      0.8666007317846892,
      0.8602064936026171,
      0.8538754301918062,
      0.8476071347722149,
      0.8414010494457341,
      0.8352565067234364,
      0.8291727610412473,
      0.8231490130361069,
      0.8171844279145055,
      0.8112781487745654,
      0.8054293071052087,
      0.7996370306437657,
      0.7939004492259965,
      0.7882186990540174,
      0.7825909258035758,
      0.7770162870400579,
      0.7714939035996365,
      0.7660225371663548,
      0.7606008422327969,
      0.7552276224579705,
      0.7499017998651887,
      0.7446223912513598,
      0.7393884900081635,
      0.734199252142102,
      0.7290538849841434,
      0.7239516385628539,
      0.7188918298837237,
      0.7138740886694567,
      0.7088981794023737,
      0.7039637846394039,
      0.699070527382389,
      0.6942183009978581,
      0.6894075481677943,
      0.6846390269987087,
      0.6799134673889318,
      0.6752312330394272,
      0.6705924252305342,
      0.6659969579753252,
      0.6614446123465121,
      0.656935075681264,
      0.6524679702553811,
      0.6480428740558727,
      0.6436593354435316,
      0.6393168842181586,
      0.635015039400537,
      0.630753314492796,
      0.6265312215319253,
      0.6223482742560497,
      0.6182039899353541,
      0.6140978905365808,
      0.6100295038620442,
      0.6059983640314808,
      0.6020040122256003,
      0.5980460572293403,
      0.5941243616411871,
      0.5902387911166496,
      0.5863891277829892,
      0.5825750952930375,
      0.5787963770951996,
      0.5750526294823308,
      0.5713434908597317,
      0.5676685888656614,
      0.5640275450364841,
      0.5604199784320141,
      0.5568455079015991,
      0.5533037540687598,
      0.5497943405316392,
      0.5463168946663829,
      0.5428710479852952,
      0.5394564369429398,
      0.5360727603694143,
      0.5327199939147008,
      0.529398133818012,
      0.526107074561386,
      0.5228466400343642,
      0.5196166054068455,
      0.5164167127138958,
      0.5132466819348998,
      0.5101062187995781,
      0.5069950203901935,
      0.5039127789154839,
      0.5008591845595379,
      0.4978339274667546,
      0.49483669899692634,
      0.49186719273891333,
      0.4889251050575208,
      0.48601013565925894,
      0.4831219877728275,
      0.48026036827522744,
      0.4774249879942471,
      0.47461556160284385,
      0.4718320638752025,
      0.469074648045856,
      0.46634334255492466,
      0.4636380818276547,
      0.46095873503613566,
      0.4583051262532328,
      0.45567704909646956,
      0.4530742765981515,
      0.4504965685505094,
      0.44794367627423703,
      0.44541534630335544,
      0.44291132294827795,
      0.44043134979710097,
      0.43797517105140993,
      0.435542532395977,
      0.4331331814818647,
      0.4307468683815125,
      0.4283833458646601,
      0.42604236944560187,
      0.42372369750746436,
      0.42142709142813106,
      0.4191523155804388,
      0.4168991373609046,
      0.4146673271443849,
      0.41245665829250017,
      0.4102669070379108,
      0.4080978523203271,
      0.40594927608329545,
      0.40382096303993964,
      0.40171270062021447,
      0.3996242789975091,
      0.39755549101669685,
      0.39550613210032576,
      0.39347600025924767,
      0.3914648960816772,
      0.38947262264894217,
      0.3874989855056154,
      0.38554379265870314,
      0.3836068544272903,
      0.38168798337186755,
      0.37978699450656306,
      0.37790370508282417,
      0.37603793452884127,
      0.374189504519629,
      0.3723582388724563,
      0.37054396344553514,
      0.3687465062943759,
      0.3669656974756507,
      0.3652013691595829,
      0.3634534367905044,
      0.36172188341903977,
      0.36000665309039,
      0.35830765745172055,
      0.3566247859924632,
      0.35495791286717987,
      0.35330690192943975,
      0.3516716105034162,
      0.3500518916527496,
      0.3484475959978111,
      0.3468585730887165,
      0.3452846720077364,
      0.3437257421452333,
      0.3421816336429395,
      0.3406521977351548,
      0.3391372867605097,
      0.33763675855011127,
      0.3361504781389238,
      0.33467831000835063,
      0.3332201176031738,
      0.33177576403653125,
      0.33034511293138163,
      0.32892802832010254,
      0.3275243752302409,
      0.32613401977549195,
      0.3247568291593385,
      0.3233926718081379,
      0.32204141765871125,
      0.3207029380173888,
      0.3193771054475849,
      0.31806379381249084,
      0.3167628666351507,
      0.31547411242531903,
      0.314197305187723,
      0.31293225218266957,
      0.31167878479497046,
      0.3104367519874715,
      0.30920601576437284,
      0.30798644767365013,
      0.3067779264628838,
      0.30558033615460867,
      0.3043935651321935,
      0.3032175051896775,
      0.3020520507073812,
      0.30089709826855515,
      0.2997525463590101,
      0.29861829511107674,
      0.29749424602677255,
      0.29638030206133326,
      0.2952763673292345,
      0.2941823471061145,
      0.2930981486858717,
      0.2920236979284731,
      0.29095892955952785,
      0.2899037711014589,
      0.288858145427231,
      0.2878219722513304,
      0.28679516928996485,
      0.28577765310765024,
      0.2847693395895869,
      0.28377014452504595,
      0.28277998376993146,
      0.2817987734976009,
      0.2808264304119699,
      0.2798628718856907,
      0.2789080158324061,
      0.27796178079703376,
      0.2770240860727559,
      0.2760948517440537,
      0.27517399873177145,
      0.27426144864982477,
      0.2733571239310716,
      0.2724609476630058,
      0.27157284373048496,
      0.2706927368209149,
      0.2698205524063841,
      0.2689562166518292,
      0.2680996564270102,
      0.2672507993460134,
      0.266409573707089,
      0.2655759086128587,
      0.2647497338000727,
      0.2639309798022836,
      0.26311957780965173,
      0.2623154596576096,
      0.26151855786896244,
      0.2607288055449103,
      0.25994613267232974,
      0.25917045391632143,
      0.25840168498290794,
      0.25763974815383567,
      0.25688457064815734,
      0.2561360833710314,
      0.25539421998153694,
      0.2546589163265507,
      0.2539301100987217,
      0.25320774031035875,
      0.2524917470644562,
      0.251782071443972,
      0.25107865545532154,
      0.2503814417586997,
      0.24969037384608284,
      0.24900539586547726,
      0.24832645246025065,
      0.24765348894085018,
      0.24698645119131174,
      0.24632528561622635,
      0.24566993913982188,
      0.24502035923250648,
      0.24437649376089784,
      0.24373829122101326,
      0.24310570055329425,
      0.24247867123938047,
      0.24185715317140002,
      0.24124109675179112,
      0.24063045291832397,
      0.24002517300546353,
      0.23942520877271029,
      0.23883051245938478,
      0.2382410367903457,
      0.23765673490693462,
      0.2370775604011139,
      0.23650346727478094,
      0.23593441001476181,
      0.23537034354246542,
      0.234811223101257,
      0.23425700443746764,
      0.23370764374142658,
      0.23316309752650105,
      0.23262332267430075,
      0.23208827658317138,
      0.23155791705112258,
      0.23103220221108817,
      0.2305110906199475,
      0.22999454124728227,
      0.22948251331262243,
      0.22897496644191734,
      0.22847186077431372,
      0.2279731567653552,
      0.22747881514401969,
      0.22698879704866592,
      0.22650306401190262,
      0.22602157790847466,
      0.22554430090437635,
      0.2250711956614555,
      0.2246022251239705,
      0.2241373524458126,
      0.2236765412367247,
      0.22321975547918005,
      0.22276695943405309,
      0.2223181176742109,
      0.22187319510658404,
      0.2214321569954753,
      0.22099496887247264,
      0.22056159661277458,
      0.22013200619464998,
      0.21970616392985742,
      0.2192840365552852,
      0.21886559112265228,
      0.21845079495295966,
      0.21803961568062238,
      0.21763202136278953,
      0.2172279802209336,
      0.21682746081560367,
      0.2164304320315283,
      0.21603686306398767,
      0.21564672334248475,
      0.21525998263353896,
      0.214876610839258,
      0.21449657825443805,
      0.21411985536687242,
      0.21374641300209724,
      0.21337622227841882,
      0.2130092543974225,
      0.2126454809693266,
      0.21228487388174005,
      0.21192740528385182,
      0.21157304754618927,
      0.21122177323390776,
      0.21087355515692113,
      0.21052836639570807,
      0.21018618027698735,
      0.20984697045217282,
      0.20951071074797803,
      0.20917737514492582,
      0.20884693787080272,
      0.2085193734950262,
      0.208194656795301,
      0.20787276276486452,
      0.20755366656976584,
      0.20723734364669774,
      0.20692376963622014
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182774222722397,
      10.992896674163465,
      10.792730904872712,
      10.584187085380998,
      10.369186495792828,
      10.149643022809697,
      9.92726176909862,
      9.703579588484303,
      9.480026346885687,
      9.257928593842845,
      9.038480707905075,
      8.82271082383469,
      8.611457565713371,
      8.405356548236076,
      8.204838287965327,
      8.010136630627068,
      7.821305688728068,
      7.6382427625677,
      7.46071469008995,
      7.288387294424248,
      7.1208504994775526,
      6.957640939338912,
      6.798267771936542,
      6.642231105390885,
      6.489038261700045,
      6.3382176378204305,
      6.189327802981696,
      6.041966252490918,
      5.895777469932062,
      5.750460276657331,
      5.605764775305737,
      5.461496218538213,
      5.317532160574276,
      5.173817999989394,
      5.030361806302313,
      4.887226673357459,
      4.744520323733362,
      4.602413232991936,
      4.461137116221032,
      4.320977969025691,
      4.182267562002734,
      4.045373593483709,
      3.910683709995408,
      3.7785945625013393,
      3.649507364117512,
      3.523817476409539,
      3.401904770022554,
      3.2841224788711485,
      3.1707896742330335,
      3.062183547918474,
      2.958534753791988,
      2.86002512888358,
      2.766787146407774,
      2.6789039500915175,
      2.5964062291290118,
      2.519270266682348,
      2.4474235318775808,
      2.380759542394059,
      2.3191401993673666,
      2.262399743165558,
      2.21031413013817,
      2.162595649568689,
      2.1188623110817293,
      2.0786838989603353,
      2.0416249954563717,
      2.0072554661775266,
      1.9751522562325223,
      1.944928940739556,
      1.916279837277666,
      1.8889740673625046,
      1.8628307780966655,
      1.8377004321347794,
      1.8134569199042332,
      1.7900104575261397,
      1.7672921584486485,
      1.7452434085888429,
      1.7238150108308954,
      1.7029664969378604,
      1.682663119236179,
      1.6628753391017128,
      1.6435776958908617,
      1.624746947748968,
      1.6063628643347643,
      1.588407344548354,
      1.5708631469015137,
      1.5537138212644146,
      1.5369437344144679,
      1.5205380446708527,
      1.5044826590559564,
      1.4887641930211089,
      1.4733699303137908,
      1.458287785926492,
      1.4435062702092163,
      1.4290144547456072,
      1.414802091380846,
      1.4008597592368501,
      1.3871784816495407,
      1.373749779514881,
      1.3605655521966615,
      1.3476179316905712,
      1.3348992952502374,
      1.3224022728239317,
      1.31011975015193,
      1.2980448689253883,
      1.286171023773082,
      1.2744918582760132,
      1.2630012593042699,
      1.2516933432668833,
      1.2405624229611063,
      1.22960303957301,
      1.2188101222155898,
      1.2081791720550512,
      1.1977061700567662,
      1.187387192029838,
      1.1772183566492818,
      1.167195733460261,
      1.157315240488134,
      1.1475729067637308,
      1.1379649206429316,
      1.1284876199574663,
      1.1191374817059687,
      1.1099111166070998,
      1.1008052629539893,
      1.0918167798009772,
      1.0829426412401957,
      1.0741799302679114,
      1.0655258336890145,
      1.0569776370138462,
      1.0485327203353012,
      1.0401885535276727,
      1.031942692311959,
      1.0237927744921684,
      1.0157365166344543,
      1.0077717103903454,
      0.9998962189869974,
      0.992107974762215,
      0.9844049762826229,
      0.9767852853622716,
      0.9692470362507367,
      0.9617886331029939,
      0.9544086548391715,
      0.9471056550601572,
      0.9398781485848471,
      0.9327246420144383,
      0.9256436621565431,
      0.9186337597931244,
      0.9116936757977027,
      0.9048225912256402,
      0.8980196828358319,
      0.8912840392509368,
      0.8846148225639318,
      0.8780115098320611,
      0.8714735160903411,
      0.8650003062760957,
      0.858591570340961,
      0.8522468729652065,
      0.8459656276756629,
      0.8397471386075891,
      0.8335906323016492,
      0.8274952818513229,
      0.8214602251899669,
      0.815484578988336,
      0.8095674490141619,
      0.8037079381017739,
      0.7979051517554041,
      0.7921582024722452,
      0.7864662130546848,
      0.7808283184662516,
      0.775243667918147,
      0.7697112666099528,
      0.764229753463318,
      0.75879783086645,
      0.7534143388781648,
      0.7480782274874634,
      0.7427885349813608,
      0.7375443711487807,
      0.7323449044152989,
      0.727189351606579,
      0.7220769724014786,
      0.7170073281525127,
      0.7119801814142254,
      0.7069952099486474,
      0.7020520299107497,
      0.6971505069305763,
      0.6922910657494269,
      0.6874744535354154,
      0.682701411188877,
      0.677972306652944,
      0.6732872409930669,
      0.6686461248710417,
      0.6640487338020262,
      0.6594947480026586,
      0.6549837817789028,
      0.6505154045002063,
      0.6460891556381605,
      0.6417045557993091,
      0.6373611144207203,
      0.6330583357053241,
      0.6287957226119117,
      0.6245727797023252,
      0.62038901518657,
      0.616243941994813,
      0.6121370792809729,
      0.6080679529127785,
      0.6040360957401628,
      0.6000410909030935,
      0.5960827692668594,
      0.5921610052974243,
      0.5882755850075642,
      0.5844262329385247,
      0.5806126311227542,
      0.5768344327661007,
      0.5730912723469912,
      0.5693827726996179,
      0.5657085500455115,
      0.5620682176260184,
      0.5584613886350824,
      0.5548876778271856,
      0.5513467027470881,
      0.5478380846621907,
      0.544361449456474,
      0.5409164275732187,
      0.5375027204263735,
      0.5341203121093714,
      0.53076918989707,
      0.5274492404907016,
      0.5241602806635449,
      0.5209020788979815,
      0.5176743709905951,
      0.5144768709230383,
      0.5113092788673538,
      0.50817128647972,
      0.5050625808494512,
      0.5019828469635013,
      0.4989317699933489,
      0.4959090365978576,
      0.49291433573093696,
      0.4899473592109128,
      0.4870078023092425,
      0.4840953638002264,
      0.4812097464659544,
      0.4783506567597582,
      0.47551782664468845,
      0.4727112788751928,
      0.4699311526428118,
      0.46717745759993035,
      0.4644501137597141,
      0.46174897876734794,
      0.4590738676421649,
      0.4564245662794859,
      0.4538008413288382,
      0.4512024468127422,
      0.44862912908755853,
      0.4460806300611648,
      0.4435566897986943,
      0.4410570479913347,
      0.43858144503162827,
      0.43612962295338287,
      0.43370132595985356,
      0.43129630072101827,
      0.42891429661861563,
      0.4265550660168688,
      0.42421836425473297,
      0.42190394961431865,
      0.4196115833671404,
      0.41734103000090617,
      0.4150920570423021,
      0.4128644348060584,
      0.4106579367062385,
      0.40847233906182234,
      0.4063074210326392,
      0.4041629646854885,
      0.402038754885579,
      0.39993457929287846,
      0.39785022810748605,
      0.39578549422499304,
      0.393740173318376,
      0.3917140634918266,
      0.38970696542051847,
      0.38771868226485595,
      0.38574901969006975,
      0.3837977857619005,
      0.38186479087121766,
      0.3799498478144053,
      0.3780527716993911,
      0.3761733797788824,
      0.3743114915916056,
      0.3724669289548749,
      0.370639515655316,
      0.3688290776768182,
      0.36703544312669156,
      0.36525844216525616,
      0.3634979535863878,
      0.36175395496800017,
      0.36002640173248096,
      0.358315213019035,
      0.35662028289472364,
      0.3549414882650582,
      0.35327869447949745,
      0.35163175923779516,
      0.3500005355747691,
      0.34838487345043795,
      0.34678462135140187,
      0.3451996272221814,
      0.343629739187767,
      0.34207480599378426,
      0.34053467729387604,
      0.3390092038095496,
      0.33749823774628185,
      0.3360016352715186,
      0.3345192611449939,
      0.3330509804372283,
      0.33159665697903884,
      0.330156154206999,
      0.3287293357252268,
      0.3273160658525759,
      0.32591620990308817,
      0.32452963406084523,
      0.32315620561195324,
      0.32179579325490903,
      0.32044826689228945,
      0.3191134978321508,
      0.31779135867470304,
      0.31648169460236225,
      0.3151842729354688,
      0.3138988765893807,
      0.3126253187847342,
      0.3113634348845001,
      0.31011307642248687,
      0.3088741068189409,
      0.3076463983595532,
      0.30642982993106854,
      0.3052242855433607,
      0.30402965317417835,
      0.3028458239453513,
      0.3016726914747674,
      0.3005101515799681,
      0.2993581019245794,
      0.2982164416707093,
      0.297085071390116,
      0.2959638930048894,
      0.2948528096938479,
      0.293751725636889,
      0.2926605500858595,
      0.29157921241003637,
      0.2905076444548066,
      0.28944577151239004,
      0.2883935144343619,
      0.28735079134474567,
      0.28631751850195764,
      0.2852936111531839,
      0.2842789839894829,
      0.28327355168704554,
      0.28227722911664993,
      0.28128993150247766,
      0.2803115745936862,
      0.2793420747229541,
      0.27838134892990507,
      0.27742931492103473,
      0.2764858912601912,
      0.2755509973074614,
      0.27462455294382515,
      0.27370647898412254,
      0.27279669704567683,
      0.2718951294955855,
      0.2710016994766527,
      0.27011633088459747,
      0.2692389484746259,
      0.26836947756376534,
      0.2675078443196746,
      0.2666539755939893,
      0.2658077990634392,
      0.2649692430804118,
      0.26413823684390436,
      0.2633147101149039,
      0.26249859330255076,
      0.2616898175519475,
      0.26088831479625024,
      0.26009401750596595,
      0.259306844626546,
      0.2585267073428515,
      0.25775352445977256,
      0.2569872203811062,
      0.2562277236195245,
      0.25547496575394013,
      0.2547288809579179,
      0.2539894052956292,
      0.2532564762410283,
      0.2525300326089024,
      0.2518100141598077,
      0.2510963616536176,
      0.2503890166011722,
      0.24968792131088038,
      0.2489930188108682,
      0.24830425268447262,
      0.24762156713658054,
      0.24694490695995805,
      0.24627421752937262,
      0.24560944469539683,
      0.2449505348581529,
      0.2442974349663067,
      0.24365009255615105,
      0.24300845558904163,
      0.24237247246832147,
      0.24174209218482848,
      0.24111726419718432,
      0.24049793841549524,
      0.2398840652499834,
      0.23927559561052095,
      0.23867248085682435,
      0.23807467276296185,
      0.23748212362303847,
      0.23689478614239262,
      0.23631261343201623,
      0.2357355590423329,
      0.23516357703667803,
      0.23459662195190756,
      0.23403464868444415,
      0.23347761249202498,
      0.2329254691108788,
      0.23237817469660715,
      0.23183568580474723,
      0.2312979593978379,
      0.23076495285414722,
      0.23023662393931657,
      0.2297129308178879,
      0.22919383198952387,
      0.2286792865064234,
      0.22816925362007387,
      0.22766369300106562,
      0.22716256471891033,
      0.22666582923555087,
      0.2261734473114851,
      0.22568538016721088,
      0.2252015893537144,
      0.2247220367130116,
      0.22424668444164286,
      0.22377549512974815,
      0.2233084317508005,
      0.22284545755083957,
      0.22238653610386933,
      0.22193163143231548,
      0.221480707772578,
      0.2210337297229903,
      0.22059066215151593,
      0.22015147015502443,
      0.21971611921023015,
      0.21928457512246188,
      0.21885680400116647,
      0.21843277236339037,
      0.21801244694627697,
      0.21759579490205766,
      0.2171827836126149,
      0.21677338083605446,
      0.21636755458691465,
      0.21596527315750855,
      0.2155665051657782,
      0.21517121946411588,
      0.21477938521461046,
      0.21439097190154202,
      0.2140059492817682,
      0.213624287373799,
      0.2132459564482064,
      0.21287092704411448,
      0.2124991699867166,
      0.21213065632944042,
      0.21176535748798744,
      0.211403245044462,
      0.21104429080701623,
      0.21068846695892057,
      0.2103357458530257,
      0.20998610016307517,
      0.2096395027178667,
      0.209295926590653,
      0.20895534517661804,
      0.2086177320041577,
      0.20828306100512883,
      0.20795130622607863,
      0.20762244196041446,
      0.2072964427537672,
      0.20697328342314725,
      0.2066529388863213,
      0.2063353843985183,
      0.20602059539606413,
      0.20570854759506416
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182766190190659,
      10.992858463941502,
      10.792646844350037,
      10.584046607008782,
      10.368984379853238,
      10.149378512244754,
      9.926938534050496,
      9.703204455745675,
      9.479607851170769,
      9.25747629974799,
      9.038003962457873,
      8.822218427674127,
      8.610957510858366,
      8.404855831056835,
      8.20434280431056,
      8.00965115152191,
      7.820833899331484,
      7.637787356380692,
      7.460277501295635,
      7.287969115543798,
      7.12045096008426,
      6.957259328495229,
      6.797903294047868,
      6.641882982690139,
      6.488705844827259,
      6.337900500682153,
      6.189026309534077,
      6.04168171363956,
      5.895511684395854,
      5.7502153610395865,
      5.605543567095353,
      5.4613020707757025,
      5.317368749223921,
      5.173689057756334,
      5.030271217820018,
      4.887179414581413,
      4.744521865176172,
      4.60246899476507,
      4.461252373257139,
      4.321157746428147,
      4.182516526612342,
      4.04569594682128,
      3.91108388784509,
      3.779076679122127,
      3.650074726108999,
      3.5244726468624408,
      3.4026494604036635,
      3.2849573364488394,
      3.1717141799339563,
      3.0631963581806874,
      2.959633753914038,
      2.861207499632331,
      2.7680494381593532,
      2.6802417760300594,
      2.59781403141524,
      2.5207416185500313,
      2.448951700476698,
      2.3823374652138054,
      2.3207604215327207,
      2.2640539153548,
      2.2119923037033224,
      2.164286467153066,
      2.1205527469008367,
      2.080361809346231,
      2.043278909104995,
      2.008875267900329,
      1.9767292395336276,
      1.9464565267916745,
      1.9177534538363032,
      1.890390577605556,
      1.8641881493980603,
      1.8389976561557992,
      1.8146934124695653,
      1.7911854136014118,
      1.7684055229154463,
      1.746295579988328,
      1.7248065642642425,
      1.7038980196996427,
      1.6835354387918304,
      1.6636891192563665,
      1.6443336439613827,
      1.6254458692213716,
      1.6070052952960212,
      1.5889938887722623,
      1.5713945858691962,
      1.5541910761899742,
      1.5373678042584347,
      1.5209099792563001,
      1.5048035378863764,
      1.489035108569123,
      1.4735919757652907,
      1.458462045428736,
      1.4436338112968101,
      1.4290963231261844,
      1.414839289695683,
      1.4008532591552074,
      1.3871292160761812,
      1.37365848303872,
      1.3604327281792052,
      1.3474440490306245,
      1.334684875910706,
      1.322147875883827,
      1.3098259593438952,
      1.2977122827798424,
      1.2858002480503408,
      1.2740834999615334,
      1.2625559195605642,
      1.2512115924373588,
      1.2400448843511473,
      1.2290505131868816,
      1.2182235606463703,
      1.2075594781392203,
      1.1970541516830944,
      1.1867035848356187,
      1.176503835165134,
      1.1664508244770149,
      1.1565404019638108,
      1.1467685831645853,
      1.1371315424059394,
      1.127625601951471,
      1.1182472254152045,
      1.1089930111009978,
      1.0998596854033924,
      1.090844095792259,
      1.0819432046290167,
      1.0731540839934883,
      1.0644739099691694,
      1.0558999579358748,
      1.0474295979242405,
      1.0390602901545938,
      1.0307895809816225,
      1.02261509931382,
      1.0145345532194827,
      1.00654572566591,
      0.9986464721026961,
      0.990834717206445,
      0.983108451970292,
      0.9754657310481603,
      0.9679047865470619,
      0.960424122612098,
      0.9530222680410465,
      0.9456977339180727,
      0.93844899886543,
      0.9312745420552792,
      0.9241728674311388,
      0.9171426165017846,
      0.9101828942343154,
      0.9032928534174832,
      0.896471555672103,
      0.889718078720059,
      0.8830318212421161,
      0.8764121933642479,
      0.8698586822358759,
      0.8633709701360597,
      0.8569485939584339,
      0.8505909390069065,
      0.8442972809480713,
      0.8380668179979881,
      0.8318986954039732,
      0.8257920237058736,
      0.8197458926550933,
      0.8137593816426691,
      0.807831567733448,
      0.8019615314833559,
      0.7961483610667591,
      0.7903911554913574,
      0.784689026913228,
      0.7790411022654083,
      0.7734465239536381,
      0.7679041169667282,
      0.7624124770407322,
      0.7569703519515307,
      0.7515766167005321,
      0.746230248208629,
      0.7409303054368616,
      0.7356759138689709,
      0.7304662537081782,
      0.7253005507941279,
      0.7201782841875278,
      0.7150991858186446,
      0.7100629304120841,
      0.7050691287661246,
      0.7001176131600633,
      0.6952087870753181,
      0.6903433851708493,
      0.6855221630118922,
      0.6807454956111535,
      0.6760134857446296,
      0.6713260422119243,
      0.6666829357240968,
      0.6620838401871774,
      0.657528362197476,
      0.653016062626435,
      0.6485464719108142,
      0.6441191013077903,
      0.6397334510653073,
      0.6353890160168186,
      0.631085289661915,
      0.6268217672545588,
      0.6225979477828575,
      0.618413335356778,
      0.6142674403401722,
      0.6101597796461896,
      0.6060898775984063,
      0.602057289739601,
      0.5980618121727674,
      0.5941033293793404,
      0.5901816323495167,
      0.5862964468859706,
      0.5824474539479053,
      0.5786343041214316,
      0.5748566278653205,
      0.5711140432697455,
      0.5674061611747744,
      0.5637325891927366,
      0.5600929345970977,
      0.5564868060873501,
      0.552913815123973,
      0.5493735769909004,
      0.5458657112846522,
      0.5423898425955717,
      0.5389456737103914,
      0.5355331956745304,
      0.5321523876949771,
      0.52880312900286,
      0.5254852294398288,
      0.5221984509113043,
      0.5189425231142821,
      0.5157171543027376,
      0.5125220390104412,
      0.5093568634181561,
      0.5062213092485395,
      0.503115056532999,
      0.5000377854892635,
      0.4969891779490859,
      0.49396891803606024,
      0.4909766929863172,
      0.4880121933780308,
      0.48507511368715794,
      0.4821651521785779,
      0.4792820112533651,
      0.47642544756361505,
      0.47359552490828677,
      0.47079236036362426,
      0.46801594703172716,
      0.465266191875967,
      0.4625429422192828,
      0.4598460045189673,
      0.4571751575939386,
      0.4545301618768338,
      0.4519107659950379,
      0.44931671141584406,
      0.44674773563024317,
      0.44420357442071834,
      0.4416839634246813,
      0.4391886393051624,
      0.4367173404050818,
      0.43426980744804367,
      0.4318457836775246,
      0.429445015274983,
      0.4270672512441883,
      0.42471224367782223,
      0.4223797477715404,
      0.4200695217637359,
      0.4177813271571827,
      0.4155149284096804,
      0.41327009293233585,
      0.4110465911921462,
      0.4088441968940134,
      0.40666268642887105,
      0.40450183916382115,
      0.40236143722685236,
      0.4002412655998056,
      0.3981411120366828,
      0.3960607669089598,
      0.3940000232830619,
      0.3919586768737875,
      0.38993652589988964,
      0.3879333711204229,
      0.3859490158491504,
      0.38398326584549985,
      0.38203592918345625,
      0.3801068164033661,
      0.3781957404129794,
      0.3763025163667289,
      0.37442696165004846,
      0.37256889586681363,
      0.3707281408305093,
      0.36890452053328615,
      0.3670978610674862,
      0.36530799057647256,
      0.3635347606214738,
      0.36177812967963147,
      0.36003806568094604,
      0.35831449607475935,
      0.356607320221299,
      0.3549164181887732,
      0.35324165705967414,
      0.3515828952016263,
      0.3499399855620678,
      0.34831277756537826,
      0.3467011187905482,
      0.34510485592643153,
      0.3435238358478831,
      0.3419579057986627,
      0.34040691400577283,
      0.33887070986133205,
      0.33734914395353177,
      0.33584206832798147,
      0.3343493379979109,
      0.3328708165984454,
      0.33140636972900933,
      0.32995586169866165,
      0.32851915634699574,
      0.3270961176699157,
      0.3256866101128474,
      0.3242904989651843,
      0.3229076506411948,
      0.3215379326191865,
      0.3201812135734807,
      0.3188373635724117,
      0.3175062540249233,
      0.3161876989200214,
      0.3148814593410926,
      0.3135873263959111,
      0.3123051189178891,
      0.3110346759224289,
      0.30977585123524937,
      0.3085285095733887,
      0.307292523847922,
      0.3060677731062364,
      0.30485414119535376,
      0.30365151555590275,
      0.30245978654987926,
      0.3012788471157173,
      0.300108592164554,
      0.29894891840238086,
      0.2977997240556077,
      0.2966609087413758,
      0.2955323734052427,
      0.2944140201861047,
      0.2933057524121015,
      0.2922074821914209,
      0.2911191411972241,
      0.29004065836453113,
      0.2889719566656803,
      0.28791295503590336,
      0.28686356997787227,
      0.2858237162146918,
      0.2847933077423575,
      0.28377225812799173,
      0.282760480920279,
      0.28175788994402495,
      0.2807643994427155,
      0.27977992423419135,
      0.2788043797531804,
      0.27783768219727223,
      0.27687974843304347,
      0.2759304960313959,
      0.2749898433299628,
      0.27405770958677494,
      0.2731340147678707,
      0.27221867965476587,
      0.27131162581442436,
      0.27041277554601734,
      0.2695220520459281,
      0.2686393793215407,
      0.26776468197968445,
      0.26689788543675724,
      0.26603891583884,
      0.2651877000854432,
      0.2643441657921397,
      0.2635082413571158,
      0.2626798559026948,
      0.26185893919392134,
      0.26104542173691914,
      0.2602392346887664,
      0.2594403030039457,
      0.25864853726584464,
      0.25786385227404535,
      0.2570861691543441,
      0.256315413780482,
      0.25555151553138333,
      0.2547944064810165,
      0.25404402103056073,
      0.2533002951289483,
      0.2525631661099548,
      0.2518325724191279,
      0.25110845348465494,
      0.2503907496298915,
      0.24967940192518157,
      0.24897435218195446,
      0.24827554289881376,
      0.24758291713310002,
      0.24689641855260222,
      0.24621599142548553,
      0.2455415807268592,
      0.24487313180241307,
      0.24421059050372426,
      0.24355390329989715,
      0.24290301712397241,
      0.2422578794882022,
      0.24161843837190267,
      0.24098464225109778,
      0.24035644009143645,
      0.23973378130455203,
      0.23911661582040078,
      0.23850489407218006,
      0.23789856698315642,
      0.23729758590388955,
      0.23670190262747465,
      0.23611146939332284,
      0.23552623901986944,
      0.23494616460643178,
      0.23437119966860198,
      0.23380129827517754,
      0.2332364149067334,
      0.23267650451957575,
      0.23212152242008857,
      0.23157142435676512,
      0.23102616647354499,
      0.2304857053410647,
      0.22994999790019652,
      0.22941900159757406,
      0.22889267412858505,
      0.2283709736900293,
      0.2278538588400806,
      0.22734128852493632,
      0.22683322204309364,
      0.22632961913814295,
      0.22583043987662707,
      0.2253356447434837,
      0.22484519450990914,
      0.2243590503692057,
      0.22387717387066836,
      0.2233995269310261,
      0.22292607175799012,
      0.22245677091489466,
      0.2219915873991066,
      0.22153048448041668,
      0.22107342576918643,
      0.22062037508235674,
      0.2201712965769623,
      0.21972615484703747,
      0.21928491475452913,
      0.21884754154134328,
      0.21841400078997095,
      0.2179842583597138,
      0.21755828046398948,
      0.21713603365981204,
      0.21671748469842958,
      0.2163026007584996,
      0.2158913492097296,
      0.21548369786097596,
      0.21507961478988222,
      0.21467906831348818,
      0.21428202708679997,
      0.21388846002453363,
      0.21349833627468506,
      0.2131116252691116,
      0.2127282968134867,
      0.21234832087300629,
      0.21197166780419266,
      0.21159830819360417,
      0.21122821284999707,
      0.21086135284812468,
      0.21049769962448206,
      0.21013722478173708,
      0.20977990024985796,
      0.20942569815586334,
      0.20907459080877625,
      0.20872655095254553,
      0.20838155140950954,
      0.20803956533513354,
      0.20770056614296695,
      0.20736452745619913,
      0.20703142307240424,
      0.20670122703081487,
      0.20637391373147623,
      0.20604945776289638,
      0.20572783388327573,
      0.2054090170782912,
      0.20509298258197073,
      0.2047797059236372,
      0.20446916286150454
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182758035283431,
      10.992819602802646,
      10.792561215684271,
      10.583903097627894,
      10.3687772105615,
      10.14910656996049,
      9.926605176422377,
      9.702816208320435,
      9.479172841166855,
      9.25700389974074,
      9.037503361306683,
      8.821698302790441,
      8.610425760316605,
      8.404319381066207,
      8.20380749793134,
      8.009121715331418,
      7.8203139777056965,
      7.637279601551561,
      7.45978370078938,
      7.287489859093512,
      7.1199856937747334,
      6.956807293292056,
      6.797463635512327,
      6.641454851631599,
      6.488288510341609,
      6.337493447658914,
      6.1886297971096385,
      6.041296943015571,
      5.895140365451481,
      5.74985953842639,
      5.605206009200071,
      5.460986086948091,
      5.317078018307706,
      5.17342734957935,
      5.030042499899263,
      4.886988748540828,
      4.744374846138914,
      4.602371236781225,
      4.461209414593478,
      4.321174943416774,
      4.1825989405825394,
      4.0458482318148805,
      3.9113109581510934,
      3.7793831592989062,
      3.650464465373278,
      3.52494877647268,
      3.4032142688769182,
      3.285612045772757,
      3.1724588324608596,
      3.064030144599269,
      2.9605550590514444,
      2.862213962334082,
      2.7691380224193294,
      2.6814084654360917,
      2.5990535957541936,
      2.5220479833374325,
      2.4503183589843682,
      2.383757533802088,
      2.3222265812017073,
      2.2655579049387717,
      2.2135242065594487,
      2.165834888745461,
      2.122104541700762,
      2.08190463799685,
      2.044801088707368,
      2.0103665010912937,
      1.9781805989763213,
      1.9478612305647671,
      1.9191067681514453,
      1.8916892353137325,
      1.8654300297054254,
      1.8401816492756964,
      1.8158188555703993,
      1.7922514076835465,
      1.7694119019358925,
      1.7472426781071486,
      1.725694895910523,
      1.704728116620308,
      1.684308072945619,
      1.6644049039866493,
      1.6449932383090315,
      1.6260501077697764,
      1.6075547252574796,
      1.5894890441269367,
      1.5718361734896342,
      1.55457994975752,
      1.5377049075807823,
      1.5211963093559175,
      1.5050401241472133,
      1.489222995980307,
      1.4737322119425758,
      1.4585556704805933,
      1.4436818507189455,
      1.4290997823302993,
      1.4147991345357447,
      1.4007704263181193,
      1.387004619597421,
      1.3734930119960709,
      1.3602272336138301,
      1.3471992417814405,
      1.3344013136470139,
      1.3218260368973942,
      1.309466299823065,
      1.2973152802977672,
      1.2853664344565108,
      1.2736134853887127,
      1.2620503913003767,
      1.2506713320789673,
      1.2394707257453532,
      1.2284432319686978,
      1.2175838683446665,
      1.2068880200206031,
      1.1963515263226303,
      1.1859703578541354,
      1.1757404965347393,
      1.16565775608276,
      1.155717985379574,
      1.145917199045066,
      1.1362515665077746,
      1.1267174046875188,
      1.1173111716815964,
      1.1080294595599094,
      1.09886898701286,
      1.089826593408955,
      1.0808992328659381,
      1.0720839686165262,
      1.0633779682024953,
      1.0547784981976736,
      1.046282919803942,
      1.0378886848318514,
      1.0295933313730448,
      1.0213944800979982,
      1.013289830839021,
      1.0052771593229148,
      0.9973543133552454,
      0.989519210198732,
      0.9817698338367308,
      0.974104268450462,
      0.9665208889037292,
      0.9590181956754332,
      0.9515946722944009,
      0.9442487911304781,
      0.9369789978330179,
      0.9297837466428647,
      0.9226615962511037,
      0.9156115490525526,
      0.9086327324489852,
      0.9017241796711201,
      0.8948848959516472,
      0.8881141822560376,
      0.8814114434891113,
      0.874776187067375,
      0.8682080866687065,
      0.8617066509330008,
      0.8552712361273396,
      0.8489010890070245,
      0.8425953788885642,
      0.8363532223692617,
      0.8301737017200411,
      0.8240558789314489,
      0.8179988065190387,
      0.8120015350671546,
      0.8060631192636057,
      0.8001826222408388,
      0.7943591186969594,
      0.7885916970628649,
      0.782879461132444,
      0.7772215310620411,
      0.7716169602812173,
      0.7660644213084618,
      0.7605625533546811,
      0.7551101439280025,
      0.74970609839365,
      0.7443494168359498,
      0.7390391759726539,
      0.7337745147554767,
      0.728554623877444,
      0.7233788952812785,
      0.7182470248412708,
      0.71315868290116,
      0.7081134734736402,
      0.7031111905370885,
      0.6981522167076245,
      0.6932372709983162,
      0.6883671222583169,
      0.6835421538536233,
      0.678762471250242,
      0.6740279814796577,
      0.669338451160589,
      0.6646935478989456,
      0.6600928707827416,
      0.6555359721727666,
      0.6510223734998734,
      0.6465515766936554,
      0.642123072243791,
      0.637736345370049,
      0.6333908800664743,
      0.6290861619739149,
      0.624821680779033,
      0.6205969313330106,
      0.6164114148188068,
      0.6122646394885304,
      0.6081561209225499,
      0.604085385399749,
      0.6000521924360306,
      0.5960564371115228,
      0.5920979159190672,
      0.5881763564184757,
      0.5842914386842029,
      0.5804428104381478,
      0.5766300983073163,
      0.5728529155719866,
      0.5691108677286579,
      0.565403556750215,
      0.5617305838293184,
      0.5580915515808232,
      0.5544860653809011,
      0.5509137342803833,
      0.5473741718266927,
      0.5438669965433126,
      0.5403919120258491,
      0.5369489156101145,
      0.533537978514624,
      0.5301589725579097,
      0.5268117006862572,
      0.523495918625837,
      0.5202113497932309,
      0.5169576965155126,
      0.5137346475716782,
      0.5105418834807206,
      0.5073790806988074,
      0.5042459141291349,
      0.5011420589721578,
      0.49806719204894184,
      0.49502099278118394,
      0.49200314352646624,
      0.48901333036428324,
      0.4860512432164624,
      0.4831165760154828,
      0.4802090267688201,
      0.4773283760522639,
      0.474474727363056,
      0.4716481764034546,
      0.46884870001175594,
      0.4660761923421244,
      0.46333049046387326,
      0.4606113924237244,
      0.4579186699957531,
      0.4552520775116098,
      0.4526113581494792,
      0.44999624841668423,
      0.4474064812228548,
      0.44484178814029474,
      0.4423019008084974,
      0.43978655207267753,
      0.43729547663273177,
      0.4348284116114649,
      0.43238509673918396,
      0.4299652747153175,
      0.4275686913418444,
      0.42519509545451795,
      0.42284423905880103,
      0.4205158772900181,
      0.4182097685282104,
      0.4159256743125058,
      0.41366335913113683,
      0.411422590646282,
      0.4092031394896611,
      0.4070047793919587,
      0.4048272867813694,
      0.4026704411223859,
      0.4005340248259104,
      0.39841782293372874,
      0.3963216232895412,
      0.3942452164333311,
      0.3921883955753681,
      0.390150956523068,
      0.3881326976108385,
      0.38613341970962733,
      0.3841529262652423,
      0.38219102311179304,
      0.380247518465794,
      0.3783222229752595,
      0.3764149496192401,
      0.3745255135601904,
      0.37265373227935444,
      0.37079942543554123,
      0.3689624148803471,
      0.3671425247530248,
      0.36533958119749804,
      0.36355341515996387,
      0.3617839566038214,
      0.3600311869889782,
      0.35829504248529626,
      0.35657542815904497,
      0.3548722275816421,
      0.3531853096852024,
      0.3515145337041241,
      0.3498597524746328,
      0.348220814766164,
      0.3465975673914422,
      0.3449898559571286,
      0.3433975260140092,
      0.3418204234916607,
      0.34025839500416427,
      0.3387112882313768,
      0.3371789523015132,
      0.33566123761629557,
      0.33415799611042435,
      0.3326690817937979,
      0.3311943569341609,
      0.3297336878624016,
      0.32828693936539616,
      0.32685397571136676,
      0.32543466118722914,
      0.3240288605827852,
      0.32263643930532887,
      0.32125726388906123,
      0.3198912019211202,
      0.31853812227475564,
      0.3171978856811801,
      0.315870276963108,
      0.3145550601750889,
      0.31325203419533265,
      0.3119610230333048,
      0.31068186910725104,
      0.30941442835684335,
      0.3081585666381606,
      0.3069141573622323,
      0.3056810796180114,
      0.3044592168111865,
      0.30324845596617706,
      0.30204868695131415,
      0.3008598017638547,
      0.29968169439410225,
      0.29851426059399655,
      0.29735739762517205,
      0.2962110041773034,
      0.2950749801117713,
      0.29394922661629125,
      0.29283364613388263,
      0.2917281556245083,
      0.29063268680969745,
      0.2895471657674595,
      0.28847151318195485,
      0.2874056459938768,
      0.286349479061862,
      0.28530292579679867,
      0.2842658988665539,
      0.28323831062964705,
      0.2822200734904528,
      0.2812111003048088,
      0.2802113042898549,
      0.2792205993292345,
      0.27823889983437905,
      0.2772661210141341,
      0.2763021788793769,
      0.27534699022444087,
      0.27440047254721717,
      0.27346254423816546,
      0.2725331245173921,
      0.27161213327268924,
      0.27069949121709647,
      0.26979511990922206,
      0.2688989417249678,
      0.26801087986999256,
      0.26713085819099647,
      0.2662588013578411,
      0.2653946347427385,
      0.2645382845941768,
      0.26368967780640823,
      0.26284874195811775,
      0.26201540544194263,
      0.26118959740576003,
      0.260371247607267,
      0.25956028424886785,
      0.25875662046953113,
      0.25796016684612116,
      0.257170841173256,
      0.2563885665035026,
      0.25561326983111415,
      0.254844881387794,
      0.25408333373404207,
      0.25332856124076764,
      0.252580499704399,
      0.2518390861195982,
      0.2511042587486384,
      0.2503759565592507,
      0.24965411937719395,
      0.24893868783801323,
      0.24822960334166755,
      0.24752680776780572,
      0.24683024363804829,
      0.24613985417824807,
      0.2454555831670709,
      0.24477737488814644,
      0.24410517417259658,
      0.2434389264692104,
      0.24277857768725408,
      0.2421240743080915,
      0.24147536321889773,
      0.2408323919545053,
      0.2401951085471959,
      0.23956346145450938,
      0.23893739959002566,
      0.23831687238117946,
      0.23770182977778195,
      0.23709222230063667,
      0.23648800083744742,
      0.235889116719889,
      0.23529552177658422,
      0.23470716820997115,
      0.23412400866465347,
      0.2335459963484091,
      0.23297308495175983,
      0.23240522849249512,
      0.23184238147963304,
      0.23128449877330512,
      0.23073153571337646,
      0.23018344803315055,
      0.22964019187627163,
      0.2291017238277136,
      0.2285680009463111,
      0.2280389805570964,
      0.22751462042629464,
      0.22699487874690288,
      0.22647971401121697,
      0.22596908524073145,
      0.22546295178506554,
      0.22496127337673547,
      0.22446401011063713,
      0.22397112246318077,
      0.22348257119803905,
      0.22299831747654947,
      0.22251832286755033,
      0.22204254929516695,
      0.22157095911511426,
      0.2211035148742965,
      0.2206401793255631,
      0.22018091564664677,
      0.2197256874697568,
      0.2192744586964356,
      0.21882719358068242,
      0.21838385678774616,
      0.21794441326360953,
      0.2175088282835465,
      0.21707706745081629,
      0.2166490966839344,
      0.21622488220495478,
      0.21580439055440728,
      0.21538758858170567,
      0.21497444348774458,
      0.2145649226776519,
      0.2141589939707079,
      0.21375662540450233,
      0.2133577853452302,
      0.21296244248467414,
      0.21257056567284302,
      0.21218212413302973,
      0.211797087385262,
      0.21141542519669793,
      0.2110371075706833,
      0.21066210486397355,
      0.21029038768909789,
      0.2099219268936848,
      0.20955669361738277,
      0.20919465919657126,
      0.20883579527383,
      0.2084800737810574,
      0.2081274668346558,
      0.20777794688568854,
      0.2074314866041639,
      0.2070880588914283,
      0.2067476369313742,
      0.20641019409013364,
      0.2060757040070943,
      0.20574414054720983,
      0.20541547777930683,
      0.20508969012069944,
      0.20476675212661008,
      0.2044466386239513,
      0.20412932490927796,
      0.20381479561088156,
      0.20350304019339907,
      0.2031940441162886
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182749745386785,
      10.992780103970768,
      10.792474012062074,
      10.583756661067492,
      10.368565314951422,
      10.148827680328251,
      9.926262279695779,
      9.702415495853758,
      9.478722303902016,
      9.256512643462608,
      9.036980351678006,
      8.821152033086038,
      8.609863981047932,
      8.403748899964206,
      8.203234063253971,
      8.008549974913375,
      7.819747507442936,
      7.636720987542452,
      7.459234661416402,
      7.286950904812901,
      7.119456189280728,
      6.956286395901127,
      6.79695039950807,
      6.6409483276162256,
      6.487787860617194,
      6.336998048237835,
      6.188139716298897,
      6.040813167264207,
      5.894664516730699,
      5.74939358956898,
      5.604752660717192,
      5.460548605692562,
      5.316660086692266,
      5.17303277666835,
      5.029675340068248,
      4.886654152631484,
      4.744078537068654,
      4.602119026333602,
      4.461007109134435,
      4.321028235415665,
      4.182513292906869,
      4.045828757758615,
      3.911363058749646,
      3.779511977083436,
      3.650674399915249,
      3.5252435355966414,
      3.403596728482739,
      3.286084065362465,
      3.1730210718258434,
      3.064682330984455,
      2.9612960789368885,
      2.863041916069044,
      2.7700502902187534,
      2.6824010526693134,
      2.6001216466344617,
      2.5231857480636517,
      2.451519592482726,
      2.385015565193588,
      2.323534258753539,
      2.2669070861451073,
      2.214905037934188,
      2.1672359694438814,
      2.1235126397676773,
      2.083307231335178,
      2.046186307475717,
      2.011723892914686,
      1.979501038086884,
      1.949137749633203,
      1.9203344838664549,
      1.8928647576225757,
      1.8665511399167485,
      1.8412471330726101,
      1.8168280853344987,
      1.7932034991002597,
      1.7703065617305382,
      1.7480801259061396,
      1.726475584812953,
      1.7054525146871757,
      1.684976857956119,
      1.6650187113620913,
      1.6455526310644881,
      1.6265558333600658,
      1.608007422515309,
      1.589889147717963,
      1.5721842969043158,
      1.554876856693367,
      1.5379514704963444,
      1.521393459642404,
      1.5051888301362801,
      1.4893242456898967,
      1.4737869997349125,
      1.4585649870061197,
      1.4436466752124903,
      1.4290210765788196,
      1.4146778249162906,
      1.4006074129430217,
      1.3868007811676124,
      1.373249203297566,
      1.359944283828584,
      1.3468779540027227,
      1.334042464159242,
      1.3214303751207541,
      1.3090345482982322,
      1.296848135104236,
      1.2848645660009839,
      1.2730775275991053,
      1.261480934966692,
      1.2500689485747833,
      1.238835969813853,
      1.2277766400011367,
      1.2168859579391114,
      1.2061592821658425,
      1.1955924302298973,
      1.1851813632496155,
      1.1749219800781248,
      1.1648100289133507,
      1.1548413723153175,
      1.145012031752879,
      1.135318180478062,
      1.1257561373075322,
      1.1163223597750673,
      1.1070134369450773,
      1.097826083395709,
      1.0887571329782435,
      1.0798035337046132,
      1.0709623420095034,
      1.0622307179894073,
      1.0536059207771595,
      1.0450853039728198,
      1.0366663115069676,
      1.0283464741088943,
      1.0201234047702006,
      1.011994795915749,
      1.0039584156538812,
      0.9960121047475516,
      0.9881537738124285,
      0.9803813999917075,
      0.9726931904814844,
      0.9650875934440827,
      0.9575630594687484,
      0.9501180314754701,
      0.9427509472966952,
      0.9354602228516792,
      0.9282443313697656,
      0.9211021708166206,
      0.9140328405172914,
      0.9070353427619575,
      0.900108611498273,
      0.8932518470668832,
      0.8864644437577298,
      0.8797459273250968,
      0.8730959607711627,
      0.8665140228239046,
      0.8599994396794521,
      0.8535514279622146,
      0.8471691268413145,
      0.8408516228899031,
      0.8345979692740297,
      0.8284071994721268,
      0.8222783376479956,
      0.8162104072325144,
      0.8102024362637584,
      0.8042534618947174,
      0.7983625335754071,
      0.7925287153290926,
      0.786751087285217,
      0.7810287463755348,
      0.7753608074718203,
      0.7697461722905546,
      0.7641834283509706,
      0.7586712646219594,
      0.7532085066201654,
      0.7477940890294147,
      0.742427034422806,
      0.7371064364597469,
      0.7318314473149039,
      0.7266013692569878,
      0.721415859826428,
      0.7162745830849034,
      0.7111771352410124,
      0.706123269749295,
      0.7011133586882682,
      0.696148099170491,
      0.6912282606122405,
      0.6863542362047618,
      0.6815261350665291,
      0.6767438635036267,
      0.6720071841271102,
      0.66731575856689,
      0.6626691781803926,
      0.6580669868132188,
      0.6535086968254823,
      0.6489938004913893,
      0.6445217788938228,
      0.6400921074001014,
      0.6357042601029164,
      0.6313577130374839,
      0.6270519462366451,
      0.6227864452687841,
      0.6185607020088237,
      0.6143742155886783,
      0.610226492869256,
      0.606117048258926,
      0.6020455946483684,
      0.5980120196614455,
      0.5940161278387028,
      0.5900576505366057,
      0.5861362683087988,
      0.5822516271894416,
      0.5784033504329567,
      0.5745910467376496,
      0.5708143166105175,
      0.5670727564093199,
      0.5633659612464994,
      0.5596935276045412,
      0.5560550547051294,
      0.552450145426343,
      0.5488784071785016,
      0.5453394522078603,
      0.5418329867738569,
      0.5383590136464785,
      0.5349174955906683,
      0.5315082968603367,
      0.5281312132862248,
      0.5247859938722299,
      0.5214723557271508,
      0.5181899951286606,
      0.5149385951639229,
      0.5117178307607235,
      0.5085273729331262,
      0.5053668912128991,
      0.5022360556238407,
      0.4991345379008549,
      0.4960620125690832,
      0.49301815727655823,
      0.49000265337437815,
      0.4870151861613243,
      0.48405544510017307,
      0.48112312375191263,
      0.47821803504662724,
      0.47534031127801835,
      0.47249002740537055,
      0.46966714440523943,
      0.46687154407973813,
      0.4641030534532169,
      0.4613614622249827,
      0.45864653511875,
      0.4559580203671074,
      0.45329565578534387,
      0.45065917291370544,
      0.4480483001332394,
      0.4454627647152875,
      0.4429022942699756,
      0.4403666177265094,
      0.43785546602687886,
      0.43536857261220036,
      0.4329056738306639,
      0.4304665089128908,
      0.4280508202018704,
      0.4256583532566235,
      0.42328885693225066,
      0.42094208318248866,
      0.4186177872459406,
      0.4163157275806428,
      0.4140356657759856,
      0.4117773665183628,
      0.4095405975344338,
      0.4073251297408917,
      0.4051307368631029,
      0.40295719559162224,
      0.4008042855376853,
      0.39867178901405864,
      0.39655949127733237,
      0.3944671803154151,
      0.39239464681681824,
      0.3903416840922086,
      0.3883080880249652,
      0.3862936570502209,
      0.3842981922900237,
      0.38232149710728924,
      0.3803633775275931,
      0.37842364190146216,
      0.3765021009011776,
      0.37459856754586707,
      0.3727128570776885,
      0.3708447870959325,
      0.3689941773634949,
      0.3671608499736234,
      0.3653446291641126,
      0.36354534100769076,
      0.36176287957133724,
      0.35999722376995946,
      0.35824832091931824,
      0.3565160831120266,
      0.35480039840626787,
      0.35310113833608214,
      0.3514181633987256,
      0.3497513268191749,
      0.3481004772158639,
      0.34646546061004146,
      0.34484612163363076,
      0.34324230452534954,
      0.3416538538676202,
      0.3400806147870477,
      0.33852243348503114,
      0.3369791573619552,
      0.3354506353084534,
      0.3339367176045604,
      0.3324372561653452,
      0.33095210444564366,
      0.32948112316083417,
      0.32802417903783415,
      0.3265811373626575,
      0.3251518628291066,
      0.3237362200383582,
      0.32233407405945275,
      0.3209452906078076,
      0.3195697363128242,
      0.3182072790379206,
      0.3168577579752806,
      0.31552093216634014,
      0.3141965768593631,
      0.31288449853913214,
      0.3115845263363588,
      0.31029650591051716,
      0.3090202952111189,
      0.30775576130101123,
      0.30650277798735004,
      0.3052612243796449,
      0.30403098364381503,
      0.30281194216405477,
      0.3016039889827095,
      0.30040701527369296,
      0.2992209142425829,
      0.2980455806128526,
      0.29688091071464173,
      0.29572680215801167,
      0.2945831538663302,
      0.29344986599869444,
      0.29232684107102064,
      0.2912140009729476,
      0.29011127632708633,
      0.2890185902935641,
      0.2879358612378001,
      0.28686300437304657,
      0.2857999327792985,
      0.28474655841345464,
      0.2837027925035317,
      0.28266854623205423,
      0.28164373103620793,
      0.280628258577646,
      0.2796220410430329,
      0.27862499131809093,
      0.27763702299841503,
      0.2766580503764976,
      0.27568798848144827,
      0.274726753273416,
      0.2737742614207104,
      0.272830430384449,
      0.271895178492429,
      0.27096842485032585,
      0.2700500894202878,
      0.26914009298787783,
      0.268238357169346,
      0.2673448042433599,
      0.2664593572516636,
      0.2655819400766596,
      0.26471247752142846,
      0.2638508949855812,
      0.26299711857530067,
      0.26215107520267167,
      0.26131269257324496,
      0.2604818990611324,
      0.25965862379006033,
      0.25884278390836485,
      0.2580342867858505,
      0.25723304657799817,
      0.2564389835239405,
      0.255652022403861,
      0.25487209128021876,
      0.2540991208230685,
      0.25333304378502763,
      0.25257379456009565,
      0.2518213087351554,
      0.25107552310396447,
      0.2503363753286382,
      0.24960380407536661,
      0.24887774873301344,
      0.24815814935087327,
      0.24744494676916112,
      0.24673808239600775,
      0.24603749830434501,
      0.24534313710184574,
      0.24465494195533669,
      0.24397285664239854,
      0.24329682549046958,
      0.24262679338144896,
      0.24196270577060341,
      0.24130450864383662,
      0.24065214843876712,
      0.24000557205585868,
      0.2393647269857669,
      0.2387295612224994,
      0.23810002325431137,
      0.23747606204349261,
      0.23685762704620075,
      0.2362446682590727,
      0.2356371360386906,
      0.23503498124021097,
      0.234438155294262,
      0.2338466100183795,
      0.23326029767142697,
      0.23267917099699287,
      0.23210318310282974,
      0.23153228760875472,
      0.2309664385162247,
      0.2304055904101447,
      0.2298496982173498,
      0.22929871725874765,
      0.22875260329015693,
      0.22821131244283518,
      0.22767480125419498,
      0.2271430267382149,
      0.22661594630470264,
      0.2260935177436123,
      0.22557569924883902,
      0.22506244939225595,
      0.22455372715022745,
      0.2240494918677555,
      0.2235497032875379,
      0.22305432145319645,
      0.22256330685517134,
      0.22207662033633646,
      0.2215942231136446,
      0.22111607664821478,
      0.2206421426815304,
      0.2201723834380888,
      0.21970676154983504,
      0.21924524002016027,
      0.21878778213846117,
      0.21833435148461028,
      0.2178849119979814,
      0.217439427996914,
      0.21699786411045674,
      0.21656018537662383,
      0.21612635712576783,
      0.21569634490307266,
      0.21527011464645987,
      0.21484763271299698,
      0.21442886561410832,
      0.2140137801968474,
      0.21360234372452455,
      0.21319452364052674,
      0.2127902876638139,
      0.21238960396156972,
      0.21199244082721505,
      0.21159876691895785,
      0.21120855115577783,
      0.21082176281805945,
      0.210438371356765,
      0.21005834662327877,
      0.20968165866804,
      0.20930827783237202,
      0.20893817471411474,
      0.20857132021081642,
      0.20820768542360668,
      0.20784724181664727,
      0.20748996105963352,
      0.20713581497269387,
      0.20678477580279836,
      0.206436816005375,
      0.20609190820504888,
      0.20575002529665345,
      0.2054111405092102,
      0.20507522724197774,
      0.20474225918112587,
      0.20441221324022435,
      0.20408507712177945,
      0.20376083783362536,
      0.20343947870446383,
      0.20312098058164274,
      0.20280532235748938,
      0.20249248185734484,
      0.20218243615064546,
      0.20187516173221995
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182741317042058,
      10.99273987588407,
      10.792385056168593,
      10.583607038278682,
      10.368348356830076,
      10.148541429554824,
      9.925909350959207,
      9.702001745789747,
      9.478255481909663,
      9.256001603832486,
      9.036433847769619,
      8.820578387029997,
      8.60927080732506,
      8.40314290096679,
      8.202620902335237,
      8.007934229711218,
      7.819132691011792,
      7.636109625490115,
      7.458628408351224,
      7.286350088769554,
      7.118860109927257,
      6.955694137275275,
      6.796360934088824,
      6.640360613569103,
      6.487200960265753,
      6.336411234093656,
      6.1875528096169585,
      6.040227079726344,
      5.894080779149451,
      5.74881410118002,
      5.604180052266807,
      5.459986102388656,
      5.316111378917345,
      5.172501717801805,
      5.029166076484894,
      4.886171931478552,
      4.7436292191679605,
      4.601708632964752,
      4.4606417275107,
      4.320713908776008,
      4.182255900011121,
      4.045633887540803,
      3.9112366144395043,
      3.77945963485882,
      3.650701125122027,
      3.525353626290052,
      3.4037936593847657,
      3.286370374556849,
      3.1733980744346866,
      3.0651502928345753,
      2.9618543896815965,
      2.8636891363676735,
      2.770784213887669,
      2.683218033519935,
      2.6010171283546595,
      2.5241542370322003,
      2.452555075967188,
      2.386111555298583,
      2.3246835981834066,
      2.2681015987589523,
      2.2161349312293246,
      2.168489834410475,
      2.124777154200255,
      2.084569718300339,
      2.0474347194700515,
      2.0129476099547965,
      1.9806907254262314,
      1.9502862447243705,
      1.9214367465341822,
      1.8939172692508437,
      1.8675515904152789,
      1.8421942115945444,
      1.8177211049746458,
      1.7940415431656909,
      1.771089233208395,
      1.7488075479337453,
      1.72714821268791,
      1.7060708001925513,
      1.6855413721226784,
      1.6655300531866732,
      1.6460112719590112,
      1.6269624376749492,
      1.6083626014433323,
      1.590193273503715,
      1.5724379139766878,
      1.5550806528878727,
      1.5381062547002067,
      1.5215001088069975,
      1.5052482609014546,
      1.4893373969843369,
      1.4737548193736676,
      1.4584884212026248,
      1.4435266604284707,
      1.428858533897064,
      1.4144736494912635,
      1.400362468525539,
      1.386515911638454,
      1.3729252301189958,
      1.3595820044032088,
      1.3464781403635298,
      1.333605862636477,
      1.320957706106273,
      1.3085265067547416,
      1.2963053906876894,
      1.284287757646975,
      1.2724672479232857,
      1.2608377538475228,
      1.249393419208851,
      1.2381286279780415,
      1.2270380035821167,
      1.2161165273317947,
      1.2053595357362874,
      1.194762821641802,
      1.1843223350975487,
      1.174033866605857,
      1.1638931292428918,
      1.1538959971387062,
      1.1440384992026364,
      1.1343168136607802,
      1.1247272613583916,
      1.1152662989350368,
      1.1059305127728307,
      1.096716613345634,
      1.0876214295429845,
      1.078641902947499,
      1.0697750833641437,
      1.061018124051294,
      1.0523682767792903,
      1.0438228878571938,
      1.0353793937756084,
      1.0270353176554,
      1.018788265452174,
      1.0106359222898318,
      1.0025760491933802,
      0.9946064803379047,
      0.9867251195057283,
      0.9789299993429635,
      0.9712194644157467,
      0.9635919334825992,
      0.9560458131881817,
      0.9485795100801875,
      0.9411914307049727,
      0.9338799730848368,
      0.9266439300472684,
      0.919482369214628,
      0.9123942589078577,
      0.9053784977632872,
      0.8984341708055902,
      0.8915606196561803,
      0.8847573899268167,
      0.8780241348888601,
      0.8713603035350407,
      0.8647651915083305,
      0.8582379844219664,
      0.8517777906350438,
      0.8453836664604585,
      0.8390546349347858,
      0.832789700130937,
      0.8265878576623019,
      0.8204481025269518,
      0.8143694353839535,
      0.8083508668749424,
      0.8023914206168447,
      0.7964901353869329,
      0.7906460666629372,
      0.784858287831774,
      0.779125890820388,
      0.773447952991961,
      0.7678231980557414,
      0.7622502036043812,
      0.7567277055069114,
      0.7512545654339564,
      0.7458297457613247,
      0.7404522900462582,
      0.7351213082158239,
      0.7298360333671333,
      0.724596054888569,
      0.7194010299239494,
      0.714250545919068,
      0.7091443244775409,
      0.7040827156978176,
      0.6990663951944297,
      0.6940961328294881,
      0.689172331283608,
      0.684295102751538,
      0.6794643524816949,
      0.6746798387856233,
      0.66994121694002,
      0.6652480705160672,
      0.6605999345526543,
      0.65599631188834,
      0.6514366850411039,
      0.646920525021256,
      0.6424472973082764,
      0.6380164660536766,
      0.6336274972874746,
      0.629279861266605,
      0.6249730338212608,
      0.6207064974167373,
      0.6164797420126508,
      0.6122922651887943,
      0.6081435724552106,
      0.6040333279730831,
      0.5999614083336826,
      0.5959276268155768,
      0.5919317186737486,
      0.5879733650909796,
      0.5840522105882031,
      0.58016787506858,
      0.5763199629766662,
      0.57250806944833,
      0.5687317852793057,
      0.5649906998381072,
      0.5612844033072396,
      0.5576124883116632,
      0.5539745514494597,
      0.5503701937892959,
      0.5467990214057384,
      0.5432607499244233,
      0.5397553809178761,
      0.5362828686416101,
      0.5328430696333872,
      0.5294357724640192,
      0.5260607191761337,
      0.5227176205170256,
      0.5194061666175913,
      0.5161260345033266,
      0.512876893503876,
      0.5096584091659716,
      0.5064702457080211,
      0.5033120677889347,
      0.5001835420296028,
      0.4970843378860866,
      0.49401412818288637,
      0.4909725896142835,
      0.48795940270700966,
      0.48497425223654994,
      0.48201682731126494,
      0.47908699118589526,
      0.4761848830296156,
      0.47331055835108576,
      0.4704639629163088,
      0.46764496652316756,
      0.4648533864768759,
      0.4620890045362031,
      0.45935157855865444,
      0.45664085061510024,
      0.45395655322983675,
      0.45129841300483964,
      0.44866615370219104,
      0.44605949836241193,
      0.44347817046679366,
      0.4409218949880884,
      0.43839039912910277,
      0.43588341275273385,
      0.4334006686068558,
      0.4309419023706675,
      0.4285068529808069,
      0.42609526267895176,
      0.4237068769597451,
      0.42134144469863194,
      0.4189987179772093,
      0.4166784521649969,
      0.4143804058775744,
      0.4121043407591891,
      0.4098500215985905,
      0.40761721629546227,
      0.4054056957538526,
      0.40321523390590625,
      0.4010456076879643,
      0.39889659668961486,
      0.39676798354314147,
      0.39465955365526867,
      0.3925710950951146,
      0.3905023985615664,
      0.38845325745549786,
      0.386423467904676,
      0.38441282848753944,
      0.38242114031577523,
      0.38044820701900306,
      0.37849383458013747,
      0.37655783147951905,
      0.3746400086391542,
      0.37274017906541995,
      0.3708581580796945,
      0.36899376345075907,
      0.3671468150225492,
      0.36531713480274897,
      0.36350454700437707,
      0.36170891000679445,
      0.35993019615578653,
      0.35816836409001196,
      0.3564233333887232,
      0.3546949968080665,
      0.3529832285740731,
      0.35128789051809944,
      0.3496088362298712,
      0.3479459140575004,
      0.34629896921981795,
      0.3446678454203896,
      0.34305238556201384,
      0.3414524327605544,
      0.33986783074568444,
      0.33829842420975004,
      0.336744059004573,
      0.3352045823268291,
      0.33367984284183233,
      0.33216969082250963,
      0.3306739781519111,
      0.32919255822681787,
      0.3277252897691135,
      0.32627203926999765,
      0.32483267291200313,
      0.32340705593164015,
      0.32199505331087624,
      0.320596530325424,
      0.3192113529645484,
      0.31783938798239375,
      0.3164804353360574,
      0.31513424678590507,
      0.31380060871751797,
      0.31247933520117316,
      0.31117026049862595,
      0.30987323361472624,
      0.30858811441556727,
      0.30731477105758515,
      0.30605307781429186,
      0.3048029137130744,
      0.303564161633282,
      0.3023367074807913,
      0.3011204395119008,
      0.2999152480339324,
      0.2987210253407723,
      0.29753766518379315,
      0.29636506283203307,
      0.295203114933325,
      0.2940517193281103,
      0.2929107751467612,
      0.29178018748771267,
      0.29065988260454784,
      0.28954978763459155,
      0.2884498230318581,
      0.2873599049441951,
      0.28627994670813783,
      0.2852098597469016,
      0.2841495544729503,
      0.28309894093139737,
      0.28205792921218487,
      0.28102642946666445,
      0.280004352305855,
      0.2789916089698038,
      0.27798811129525725,
      0.2769937719773157,
      0.27600850440070684,
      0.27503222265095056,
      0.27406484173120405,
      0.2731062775013751,
      0.2721564465565568,
      0.2712152662852277,
      0.27028265510797345,
      0.26935853214678607,
      0.2684428172653167,
      0.26753543132761537,
      0.26663629586164556,
      0.26574533310671494,
      0.2648624661643981,
      0.26398761896157646,
      0.26312071615201765,
      0.262261683236761,
      0.2614104462668363,
      0.26056693220950045,
      0.2597310687699129,
      0.2589027774626241,
      0.25808196480806816,
      0.2572685413389258,
      0.25646242433135336,
      0.255663536048043,
      0.25487180240706714,
      0.2540871521853014,
      0.25330951637229704,
      0.2525388276975261,
      0.2517750203924206,
      0.25101802981807203,
      0.2502677924274124,
      0.249524245591152,
      0.24878732742686505,
      0.24805697682122216,
      0.247333133314913,
      0.24661573720613178,
      0.24590472933801902,
      0.24520005124461736,
      0.24450164501881558,
      0.24380945325858364,
      0.24312341920555713,
      0.24244348668221632,
      0.24176959999271624,
      0.24110170401631092,
      0.24043974417517744,
      0.23978366640403645,
      0.23913341717247627,
      0.23848894344534907,
      0.23785019277180913,
      0.23721711305859067,
      0.23658965281487956,
      0.23596776099211283,
      0.23535138705434827,
      0.23474048093550917,
      0.2341349931258986,
      0.23353487450570082,
      0.2329400763454392,
      0.2323505504474854,
      0.23176624908563137,
      0.23118712504850114,
      0.23061313150621995,
      0.23004422208198685,
      0.22948035081064563,
      0.22892147214961478,
      0.22836754102938145,
      0.2278185128290123,
      0.22727434325186563,
      0.22673498848202148,
      0.22620040510032516,
      0.22567055016780382,
      0.2251453810812966,
      0.22462485559577883,
      0.22410893189855366,
      0.22359756862157196,
      0.2230907246643811,
      0.22258835942498478,
      0.22209043261271996,
      0.22159690432930634,
      0.22110773498582262,
      0.22062288534804694,
      0.22014231658290598,
      0.21966599019186192,
      0.2191938681108434,
      0.2187259126972319,
      0.2182620864766108,
      0.21780235239885837,
      0.21734667382866546,
      0.21689501439748388,
      0.21644733814900136,
      0.21600360940632052,
      0.21556379289446567,
      0.21512785352062316,
      0.2146957566133856,
      0.21426746781965444,
      0.2138429531554465,
      0.2134221788417464,
      0.2130051114464166,
      0.2125917178872318,
      0.21218196538554218,
      0.21177582142069404,
      0.21137325373644755,
      0.21097423043743452,
      0.21057871990853191,
      0.2101866908754755,
      0.20979811223737632,
      0.2094129532818755,
      0.20903118351963412,
      0.2086527727107496,
      0.20827769095548837,
      0.20790590862087993,
      0.20753739639561702,
      0.20717212507882898,
      0.20681006581452036,
      0.20645119004725926,
      0.20609546944100438,
      0.20574287597662094,
      0.20539338178352792,
      0.20504695930259717,
      0.20470358875061806,
      0.20436325834165275,
      0.20402595284484598,
      0.20369165364416322,
      0.2033603397759917,
      0.20303198867789865,
      0.2027065767275621,
      0.20238407957422197,
      0.2020644724545013,
      0.20174773035391125,
      0.20143382817999736,
      0.20112274080809625,
      0.2008144431395158,
      0.2005089101470986
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182732754216538,
      10.992698981006361,
      10.792294482280756,
      10.583454441187367,
      10.368126625309626,
      10.14824818653147,
      9.925546836159016,
      9.701575475225878,
      9.477772907956355,
      9.255471324758984,
      9.035864406710612,
      8.819977935697594,
      8.608646826321161,
      8.40250198663014,
      8.201968635739252,
      8.007275122007321,
      7.818470196573633,
      7.635446211114033,
      7.457965668070156,
      7.285688112871412,
      7.118198139766186,
      6.955031193251938,
      6.795695913904794,
      6.639692390315587,
      6.486528503629696,
      6.335733719039341,
      6.186870000190759,
      6.039539823958255,
      5.893390503273221,
      5.748122619545128,
      5.603489918478696,
      5.459300493376529,
      5.315433938046524,
      5.17183629590538,
      5.028516915720175,
      4.885544380006581,
      4.743029278892522,
      4.601142536356328,
      4.460115843419333,
      4.320234630583999,
      4.181829520112703,
      4.045266465078829,
      3.9109342890044356,
      3.77922862907573,
      3.650546982874169,
      3.5252812479693003,
      3.4038071294812444,
      3.286472834458059,
      3.17359142885457,
      3.065435370038613,
      2.9622311044921017,
      2.864156531963307,
      2.7713405192979486,
      2.683859995212688,
      2.6017403075562298,
      2.524953233495365,
      2.4534241594079242,
      2.387044392273511,
      2.3256731644617865,
      2.2691398101855293,
      2.2172120913851683,
      2.1695944266693834,
      2.125895823292299,
      2.085689605733718,
      2.048543583699117,
      2.014034736006825,
      1.9817466331442974,
      1.951303626632905,
      1.922410441278503,
      1.8948436560400637,
      1.8684282625175297,
      1.8430197554032726,
      1.8184947317727398,
      1.7947622681735105,
      1.7717565929362025,
      1.7494215972096103,
      1.7277093396875343,
      1.70657939455202,
      1.685997945496171,
      1.6659351864141196,
      1.6463654075871466,
      1.6272661724392714,
      1.6086166750793447,
      1.5903981349193426,
      1.5725939857340498,
      1.555188508357453,
      1.5381665971360505,
      1.521513732828736,
      1.5052160089081854,
      1.4892601403054646,
      1.4736334437016407,
      1.458323815379617,
      1.4433197080630746,
      1.4286101068277866,
      1.4141845979926904,
      1.4000336160683877,
      1.386148063799914,
      1.372519171435188,
      1.3591384973906466,
      1.3459979239982294,
      1.3330896516997823,
      1.3204061910782092,
      1.3079403536310972,
      1.2956852386740667,
      1.28363420067406,
      1.2717808516863396,
      1.2601190675258287,
      1.2486429755619133,
      1.2373469431026676,
      1.2262255766270311,
      1.2152738407213775,
      1.2044870508107641,
      1.1938609767688253,
      1.1833915073939307,
      1.173074338475528,
      1.1629051975298208,
      1.1528799686150075,
      1.1429946876765253,
      1.1332455362014004,
      1.1236288353083852,
      1.1141410399073,
      1.104778733167776,
      1.0955386206715654,
      1.0864175253990234,
      1.0774123828676714,
      1.0685202362991084,
      1.0597382317889457,
      1.0510636140638583,
      1.0424937220344284,
      1.0340259850295448,
      1.0256579189184796,
      1.0173871224446425,
      1.009211273838801,
      1.0011281273725179,
      0.9931355103748298,
      0.9852313237787774,
      0.9774137486373746,
      0.9696811716469104,
      0.9620319625817583,
      0.9544644879337271,
      0.9469771214021038,
      0.9395682400835891,
      0.9322365327893155,
      0.9249810083424121,
      0.917800599047947,
      0.9106941662614991,
      0.9036606796371244,
      0.8966994383918965,
      0.8898100031339531,
      0.8829920033575414,
      0.8762448569414274,
      0.8695678278558392,
      0.8629600696949385,
      0.8564206590655956,
      0.8499486208438605,
      0.8435429470387191,
      0.8372026111938123,
      0.830926579280572,
      0.8247138174699246,
      0.8185632981282989,
      0.8124740043126636,
      0.8064449328310466,
      0.8004750966442707,
      0.7945635260603777,
      0.7887092700525706,
      0.7829113966903295,
      0.7771689936063254,
      0.7714810265904761,
      0.7658460722559814,
      0.7602627639113323,
      0.7547298800205333,
      0.7492463152153639,
      0.7438110568642388,
      0.7384231680075619,
      0.733081814053123,
      0.7277865079188249,
      0.7225368973693075,
      0.7173325589544813,
      0.7121731883299491,
      0.7070591054076736,
      0.7019909645166115,
      0.6969695349766176,
      0.6919952278380451,
      0.6870681576283428,
      0.6821882276100236,
      0.6773551910888388,
      0.6725686962232699,
      0.6678283184071965,
      0.6631335835246218,
      0.6584839846899111,
      0.6538789943546569,
      0.6493180732176164,
      0.6448006762959155,
      0.6403262574750084,
      0.6358942726793142,
      0.631504182082213,
      0.6271554518212205,
      0.6228475546650608,
      0.6185799710110315,
      0.6143521893004271,
      0.6101637059568883,
      0.6060141352578514,
      0.6019033426999179,
      0.5978311501602103,
      0.5937972969321434,
      0.5898014648916504,
      0.585843296832175,
      0.581922409399033,
      0.5780384025986375,
      0.5741908662691696,
      0.5703793851621287,
      0.5666035423974883,
      0.5628629219916244,
      0.5591571103641486,
      0.555485697568619,
      0.551848278251061,
      0.5482444521111989,
      0.5446739459532081,
      0.5411367606277565,
      0.5376328410992144,
      0.5341620354194886,
      0.530724124445256,
      0.5273188430930122,
      0.5239458952870717,
      0.5206049647623009,
      0.517295722469609,
      0.5140178318560563,
      0.5107709526731593,
      0.5075547436322625,
      0.504368864247319,
      0.5012129759475678,
      0.4980867431518857,
      0.4949898336725235,
      0.49192191918837375,
      0.48888267553492815,
      0.4858717829148454,
      0.4828889257244564,
      0.47993401932704227,
      0.47700720983512834,
      0.4741085325246587,
      0.4712379175881911,
      0.46839522249328763,
      0.465580254637686,
      0.46279278753420794,
      0.46003257197995645,
      0.457299343952921,
      0.4545928303321668,
      0.45191275281717247,
      0.44925883056974175,
      0.44663078227461406,
      0.44402832737178694,
      0.44145118684661167,
      0.43889908401377253,
      0.436371744865297,
      0.43386889849288524,
      0.4313902771544331,
      0.42893561639155114,
      0.4265046550470546,
      0.42409713533458143,
      0.42171280288516927,
      0.41935140659286896,
      0.4170126985644567,
      0.4146964343259137,
      0.4124023725491927,
      0.41013027508677363,
      0.40787990690761505,
      0.4056510360616929,
      0.4034434336987631,
      0.40125687383581743,
      0.3990911334840364,
      0.3969459924991183,
      0.39482123366400457,
      0.39271664234284415,
      0.3906320067225529,
      0.38856711780383635,
      0.3865217691672151,
      0.38449575686928167,
      0.38248887969832934,
      0.3805009388487905,
      0.3785317379551169,
      0.37658108323050676,
      0.37464878325366857,
      0.3727346489371918,
      0.37083849342287784,
      0.36896013223455054,
      0.3670993830279298,
      0.3652560658523442,
      0.3634300029586324,
      0.36162103315755917,
      0.359829101680017,
      0.3580541798549551,
      0.35629619547137453,
      0.35455504652740105,
      0.35283061040978253,
      0.35112275060305265,
      0.3494313212832088,
      0.3477561706273419,
      0.34609714328353164,
      0.3444540819339939,
      0.34282682826214184,
      0.34121522398944976,
      0.3396191113491351,
      0.33803833348216245,
      0.3364727346811135,
      0.33492216050777646,
      0.3333864580652229,
      0.3318654759673636,
      0.3303590644766745,
      0.32886707533982196,
      0.3273893620205122,
      0.3259257814491134,
      0.32447619948679174,
      0.32304048312356753,
      0.32161849820221233,
      0.3202101101744629,
      0.3188151845481005,
      0.31743356917437937,
      0.31606502912489637,
      0.3147093271033144,
      0.31336625964301595,
      0.3120356477309348,
      0.310717330091562,
      0.3094111586337048,
      0.30811699500026657,
      0.30683470820804604,
      0.30556417291134125,
      0.30430526796451884,
      0.3030578757111038,
      0.3018218813606479,
      0.3005971725144838,
      0.2993836386863959,
      0.29818117105781344,
      0.2969896624288724,
      0.2958090070466235,
      0.29463910043742964,
      0.29347983944654576,
      0.29233112214130397,
      0.29119285868030986,
      0.29006497712067114,
      0.288947401143657,
      0.28784004847955685,
      0.2867428330332589,
      0.2856556661550152,
      0.28457845764598605,
      0.28351111652796457,
      0.2824535514658461,
      0.28140567132761457,
      0.2803673852098117,
      0.27933860261560367,
      0.27831923376064077,
      0.277309189524531,
      0.2763083815563996,
      0.2753167222045441,
      0.2743341247785461,
      0.27336050336905515,
      0.2723957729111877,
      0.2714398491740672,
      0.270492648752866,
      0.2695540891266504,
      0.2686240885279504,
      0.26770256613268983,
      0.2667894418711314,
      0.26588463643199234,
      0.26498807134480956,
      0.26409966891247827,
      0.26321935234933747,
      0.26234704547679155,
      0.2614826729681749,
      0.26062616025204,
      0.2597774334944191,
      0.2589364163155003,
      0.25810301634079597,
      0.2572771405849727,
      0.2564587034127584,
      0.2556476244531557,
      0.2548438274625522,
      0.25404723932984485,
      0.25325778938540344,
      0.2524754088082327,
      0.2517000302810223,
      0.2509315877652689,
      0.2501700163695907,
      0.24941525205657686,
      0.2486672316197378,
      0.2479258927649607,
      0.24719117391508405,
      0.24646301402946727,
      0.24574135285805102,
      0.24502613073975604,
      0.2443172885427922,
      0.24361476774664254,
      0.2429185104877455,
      0.24222845948016486,
      0.24154455791269933,
      0.24086674961472895,
      0.240194978931344,
      0.23952919075298973,
      0.23886933055952395,
      0.23821534424992394,
      0.23756717822795653,
      0.23692477945090842,
      0.23628809540424292,
      0.23565707414130224,
      0.23503166414692295,
      0.23441181438069095,
      0.23379747424511138,
      0.23318859365729272,
      0.23258512305848178,
      0.2319870133874206,
      0.23139421601709736,
      0.2308066827565058,
      0.2302243658793667,
      0.22964721810344296,
      0.22907519257137743,
      0.22850824293482064,
      0.22794632323652458,
      0.22738938797203412,
      0.22683739211464496,
      0.22629029097675005,
      0.22574804031373438,
      0.22521059631524384,
      0.22467791557209052,
      0.22414995507039046,
      0.2236266721612617,
      0.22310802472266816,
      0.22259397092888117,
      0.2220844693387281,
      0.2215794788836535,
      0.2210789588440931,
      0.22058286892874188,
      0.2200911693048697,
      0.21960382042624177,
      0.21912078309114075,
      0.21864201855257429,
      0.21816748841359418,
      0.21769715461308112,
      0.2172309793871373,
      0.21676892537148895,
      0.2163109556161155,
      0.2158570334361552,
      0.21540712253070815,
      0.21496118696302868,
      0.21451919102773795,
      0.21408109946213416,
      0.21364687725198267,
      0.21321648962886217,
      0.2127899023486662,
      0.2123670813098843,
      0.21194799274535944,
      0.21153260333845159,
      0.21112087999762882,
      0.21071278992428386,
      0.21030830057999103,
      0.20990737978175456,
      0.20950999563302544,
      0.20911611653228948,
      0.20872571122078867,
      0.20833874869141988,
      0.2079551981242347,
      0.20757502907674427,
      0.20719821130673155,
      0.2068247149903119,
      0.20645451044501223,
      0.20608756831162892,
      0.2057238595463539,
      0.2053633561896276,
      0.205006041120207,
      0.20465190156873891,
      0.2043009203067519,
      0.20395307694483417,
      0.2036083489130609,
      0.20326671212725475,
      0.20292814150978145,
      0.20259261136631104,
      0.20226009565859243,
      0.20193056807222232,
      0.2016040022613882,
      0.20128037194080567,
      0.20095965086341286,
      0.20064181283620655,
      0.20032683193985878,
      0.20001468231672392,
      0.1997053384043531,
      0.19939877492848362,
      0.1990949665914477
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182724064336165,
      10.992657467154121,
      10.79220239416296,
      10.583299042386873,
      10.367900424836657,
      10.147948386123703,
      9.925175295399768,
      9.701137366589936,
      9.477275386513039,
      9.254922732087172,
      9.035273071068607,
      8.819351834325596,
      8.60799329991736,
      8.401827524362282,
      8.201278733832709,
      8.006574220812679,
      7.817761687959813,
      7.634732503549974,
      7.457248293198086,
      7.2849671770239395,
      7.117472805498186,
      6.95430039667959,
      6.794958462406709,
      6.638947058412656,
      6.485774157066356,
      6.33496942767685,
      6.186095465149435,
      6.038755825843091,
      5.892598359974907,
      5.747324057446758,
      5.602687410013328,
      5.458497162354398,
      5.314633334757403,
      5.171042228004709,
      5.02773372070116,
      4.884777507437505,
      4.74228487144784,
      4.600427033820271,
      4.459435889250026,
      4.3195969579159526,
      4.181240821975704,
      4.0447332559784535,
      3.910463110441144,
      3.7788262177704386,
      3.650219426170063,
      3.525034012370681,
      3.403644873311,
      3.2863992665237194,
      3.1736091261786146,
      3.0655456802938654,
      2.9624344270993817,
      2.8644523538047095,
      2.771727468846492,
      2.6843351801330324,
      2.602299727992758,
      2.525591745357731,
      2.4541362401763642,
      2.3878236617019652,
      2.326512736237669,
      2.270031690889425,
      2.2181466210672665,
      2.170559889770295,
      2.1268787461009087,
      2.0866768426422855,
      2.0495226794361563,
      2.014994870762983,
      1.982678176884391,
      1.952199126421984,
      1.9232646163867484,
      1.8956527848303972,
      1.8691898442210497,
      1.8437322788861776,
      1.8191573126204716,
      1.7953738566405084,
      1.7723166219556712,
      1.749930067189699,
      1.7281665837184668,
      1.706985750200085,
      1.6863538734652892,
      1.6662413399928773,
      1.6466222656964682,
      1.6274742379696236,
      1.6087766032320339,
      1.59051035983788,
      1.572658855392679,
      1.5552065271603526,
      1.5381383916796016,
      1.5214400356501177,
      1.5050976100348155,
      1.4890978616926818,
      1.4734281245479242,
      1.458076300678812,
      1.443030839464068,
      1.4282807162433921,
      1.413815498753005,
      1.3996255977529424,
      1.3857018993793981,
      1.372035614584175,
      1.3586182802310887,
      1.3454417561739158,
      1.33249821959748,
      1.3197801576394579,
      1.307280357419542,
      1.2949918748391325,
      1.282908031899565,
      1.271022425214739,
      1.2593289142553137,
      1.2478216097740678,
      1.2364948624556975,
      1.2253432621018117,
      1.214361757886102,
      1.2035456453287778,
      1.192890673443873,
      1.1823926386851848,
      1.1720471745013572,
      1.1618500235774967,
      1.1517970807902596,
      1.141884388337662,
      1.1321081304902159,
      1.1224646288213391,
      1.1129503364323317,
      1.1035618329900347,
      1.0942958193403896,
      1.0851491131041744,
      1.0761186438107222,
      1.0672014481578538,
      1.0583946654238927,
      1.0496955332604154,
      1.0411013837865282,
      1.0326096393450372,
      1.024217808805852,
      1.0159234839254125,
      1.007724336136948,
      0.9996181131768501,
      0.9916026359190773,
      0.9836759001657422,
      0.9758362008769488,
      0.9680818728028713,
      0.9604112432932017,
      0.9528226440931445,
      0.9453144201635907,
      0.9378851876130133,
      0.9305338927811768,
      0.9232594292611362,
      0.9160606185573236,
      0.908936328341676,
      0.9018858024740835,
      0.8949086136451393,
      0.8880043597772669,
      0.8811724260939804,
      0.8744120434039112,
      0.867722332053579,
      0.8611023356804812,
      0.8545510464715673,
      0.8480674242780932,
      0.8416504112122031,
      0.8352989424250693,
      0.8290119541653875,
      0.8227883896517378,
      0.8166272035919178,
      0.8105273654165578,
      0.8044878611386207,
      0.7985076950184422,
      0.7925858907386755,
      0.7867214920458513,
      0.7809135629160356,
      0.7751611875040353,
      0.7694631326950317,
      0.7638179289517064,
      0.7582242628845322,
      0.7526809539452747,
      0.7471869279896748,
      0.7417411965757197,
      0.7363428546134033,
      0.730991336916217,
      0.7256862790934759,
      0.7204272447080263,
      0.7152139024645096,
      0.7100465416146213,
      0.7049257948256051,
      0.6998524301400971,
      0.694826865375646,
      0.6898492161663216,
      0.6849193828603976,
      0.6800371131775058,
      0.6752020477734588,
      0.6704137532439767,
      0.6656717458428516,
      0.6609755083000576,
      0.6563245027148412,
      0.6517181792324881,
      0.6471559823130034,
      0.6426373553238738,
      0.6381617438029986,
      0.633728597759729,
      0.6293373730726979,
      0.6249875325509259,
      0.6206785468912436,
      0.6164098949006686,
      0.6121810639025024,
      0.6079916230865817,
      0.603841418661083,
      0.5997302820117104,
      0.5956579570679555,
      0.5916241266890291,
      0.5876284321027839,
      0.5836704865793341,
      0.5797498854944629,
      0.5758662134518044,
      0.5720190494273761,
      0.5682079702602595,
      0.5644325534671003,
      0.5606923789332107,
      0.5569870302493554,
      0.5533160955214594,
      0.5496791678860907,
      0.5460759872284839,
      0.5425065535567041,
      0.5389708017993413,
      0.5354685710935203,
      0.53199963421322,
      0.5285637186394282,
      0.5251605214272339,
      0.5217897196229362,
      0.5184509779968266,
      0.5151439539390654,
      0.511868301417714,
      0.5086236733268367,
      0.505409723732933,
      0.5022261089855802,
      0.49907248823026135,
      0.4959485240639757,
      0.4928538833103398,
      0.48978823705307195,
      0.48675126064040486,
      0.48374263391563505,
      0.48076232548474296,
      0.47781048830333656,
      0.4748871369202634,
      0.47199218570037993,
      0.469125479587853,
      0.4662868158649058,
      0.4634759596510433,
      0.46069265454506086,
      0.457936630456327,
      0.4552076086521853,
      0.452505305693325,
      0.4498294360163814,
      0.44717971383440636,
      0.44455585428611627,
      0.4419575744232998,
      0.43938459360760357,
      0.43683663413260854,
      0.4343134214121084,
      0.431814684066643,
      0.4293401541629502,
      0.42688956707340087,
      0.42446266161684776,
      0.422059180074246,
      0.41967886818165107,
      0.41732147499865363,
      0.4149867528048735,
      0.4126744572027803,
      0.4103843470705736,
      0.4081161843913242,
      0.40586973433970935,
      0.4036447651681383,
      0.4014410481218651,
      0.39925835733168846,
      0.3970964699642653,
      0.39495516607060754,
      0.3928342285145437,
      0.39073344282816797,
      0.3886525974265417,
      0.38659148336827315,
      0.38454989422124186,
      0.3825276262621687,
      0.38052447840010123,
      0.37854025202757174,
      0.37657475087478626,
      0.3746277811980208,
      0.3726991516154225,
      0.3707886732007742,
      0.36889615927582703,
      0.36702142535854726,
      0.3651642893437746,
      0.36332457130583373,
      0.3615020934832605,
      0.3596967733450446,
      0.35790859188585017,
      0.3561374854165571,
      0.3543833573168279,
      0.35264608820320026,
      0.3509255432375923,
      0.3492215772891199,
      0.347534038426327,
      0.34586277064352383,
      0.3442076155250398,
      0.34256841359229007,
      0.34094500518538867,
      0.3393372310098573,
      0.33774493257997623,
      0.3361679526363791,
      0.33460613513243803,
      0.333059325451254,
      0.3315273706121615,
      0.3300101191877158,
      0.32850742140202205,
      0.32701912905386704,
      0.3255450955834202,
      0.32408517684150906,
      0.32263923699226615,
      0.32120714403847794,
      0.3197887644940591,
      0.3183839642309744,
      0.31699255271086824,
      0.3156142784710533,
      0.31424891858343496,
      0.312896279427989,
      0.31155618860242235,
      0.3102284892747758,
      0.3089130361566021,
      0.3076096926235965,
      0.30631832845183565,
      0.30503881847949715,
      0.3037710415016391,
      0.30251487945817535,
      0.30127021675896853,
      0.30003694021474137,
      0.2988149383645057,
      0.2976041014315771,
      0.2964043212079528,
      0.295215490943286,
      0.29403750513584964,
      0.2928702595690982,
      0.29171365151651574,
      0.2905675977583859,
      0.28943202627961645,
      0.2883068573314843,
      0.2871920058624861,
      0.28608738340533424,
      0.28499289941546707,
      0.2839084620028751,
      0.2828339787596966,
      0.2817693571267984,
      0.28071450468261816,
      0.27966932935509287,
      0.27863373965913424,
      0.2776076446813961,
      0.27659095429491287,
      0.27558357913417036,
      0.2745854306738908,
      0.2735964211957501,
      0.2726164639097592,
      0.2716454729130939,
      0.27068336304957263,
      0.2697300500511656,
      0.2687854505037928,
      0.2678494818411526,
      0.26692206232827265,
      0.26600311104757185,
      0.26509254795067533,
      0.2641902937858949,
      0.26329627010409845,
      0.2624103991908806,
      0.26153260417883056,
      0.2606628089588355,
      0.25980093819550854,
      0.25894691632758354,
      0.25810065287944506,
      0.257262051272779,
      0.2564310229462123,
      0.2556074851950327,
      0.25479135955518223,
      0.2539825710553021,
      0.25318104721398244,
      0.25238671764428805,
      0.25159951342362574,
      0.25081936711749364,
      0.25004621245254305,
      0.24927998409499197,
      0.24852061761061567,
      0.2477680493130281,
      0.24702221630514626,
      0.2462830563834145,
      0.24555050802064105,
      0.24482451036373204,
      0.24410500320807213,
      0.24339192691037664,
      0.24268522239258716,
      0.24198483122362138,
      0.24129069552538376,
      0.2406027579694171,
      0.23992096178816666,
      0.23924525081339723,
      0.23857556936388555,
      0.23791186230026723,
      0.2372540750814008,
      0.23660215365745496,
      0.23595604445362284,
      0.23531569444437545,
      0.23468105108971096,
      0.23405206233646791,
      0.23342867671031461,
      0.23281084314249914,
      0.23219851116703774,
      0.23159163064891963,
      0.23099015199698678,
      0.23039402620052551,
      0.22980320454974293,
      0.22921763887886454,
      0.22863728145469905,
      0.22806208508310172,
      0.22749200283536686,
      0.22692698839921244,
      0.22636699583361014,
      0.22581197959222235,
      0.2252618946244039,
      0.2247166962742204,
      0.22417634030833242,
      0.22364078289409145,
      0.22310998060476328,
      0.22258389047674984,
      0.22206246990306952,
      0.22154567669355457,
      0.2210334690346058,
      0.220525805437514,
      0.22002264495510487,
      0.21952394692945262,
      0.21902967104601181,
      0.21853977743973613,
      0.21805422670105884,
      0.21757297966707687,
      0.21709599753184838,
      0.2166232417667507,
      0.21615467439828728,
      0.21569025775326756,
      0.2152299544979884,
      0.2147737276783745,
      0.2143215406722938,
      0.21387335718154074,
      0.21342914114819675,
      0.21298885697751596,
      0.21255246930410715,
      0.21211994314089364,
      0.2116912438510901,
      0.2112663371342084,
      0.2108451890133255,
      0.21042776577242744,
      0.21001403399662655,
      0.20960396058787745,
      0.2091975127309939,
      0.20879465800050787,
      0.2083953642017677,
      0.20799959942943294,
      0.20760733210104954,
      0.20721853094123593,
      0.20683316491591625,
      0.20645120329475142,
      0.20607261566364085,
      0.2056973743926137,
      0.20532546388456346,
      0.2049568695512638,
      0.2045915724443528,
      0.20422955058514788,
      0.2038707798879497,
      0.20351523489749662,
      0.20316288911358393,
      0.2028137154645692,
      0.20246768657496725,
      0.20212477493017436,
      0.20178495281144013,
      0.20144819266266767,
      0.20111446703795002,
      0.20078374857484513,
      0.2004560100570738,
      0.2001312245285525,
      0.1998093652810673,
      0.19949040572858082,
      0.1991743195106738,
      0.19886108063520558,
      0.19855066320227846,
      0.1982430415231852,
      0.19793819020173165,
      0.19763608410214634
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182715258692449,
      10.992615346233645,
      10.792108840751562,
      10.583140959790004,
      10.36766995208422,
      10.147642326940629,
      9.924795142766467,
      9.700687959373584,
      9.476763586310508,
      9.254356627229837,
      9.03466077775835,
      8.818701157868063,
      8.6073114466311,
      8.401120876467104,
      8.200552703814797,
      8.005833180778623,
      7.817008970063964,
      7.633970458844741,
      7.456478395032351,
      7.284189509653401,
      7.116686459370724,
      6.953504232048387,
      6.794151203369144,
      6.638127388796236,
      6.484940846537365,
      6.334121446842661,
      6.185232417858725,
      6.037878394647723,
      5.891707766734282,
      5.74642195049097,
      5.601776192559952,
      5.457579916758871,
      5.313713611249095,
      5.1701238701929455,
      5.026821152712526,
      4.883876272086553,
      4.7414012434284905,
      4.599567649856316,
      4.45860765414059,
      4.318806928835303,
      4.180496075645873,
      4.044040743645156,
      3.909829842626183,
      3.7782594153946403,
      3.6497256890607024,
      3.5246193399624457,
      3.403314464070501,
      3.2861573628184777,
      3.173458838887711,
      3.065488855633901,
      2.962471927827328,
      2.8645840912466314,
      2.7719522298258363,
      2.6846502492449567,
      2.6027014656038636,
      2.5260752961796533,
      2.4546963224314764,
      2.388454087645782,
      2.3272067722972936,
      2.2707814513892473,
      2.218942501530192,
      2.171390017604327,
      2.127729332423863,
      2.0875345547440465,
      2.0503749948721133,
      2.0158308639887466,
      1.9834880590278003,
      1.9529753352926542,
      1.9240017775800677,
      1.8963470960930018,
      1.8698387261858966,
      1.8443341339810897,
      1.8197112410409415,
      1.7958787860617642,
      1.7727718854647263,
      1.7503355860561012,
      1.7285226168253272,
      1.7072926588933217,
      1.6866120345056343,
      1.666451330273432,
      1.646784497427645,
      1.6275891532160252,
      1.6088447989327457,
      1.5905323495865324,
      1.572634912613716,
      1.555137087852422,
      1.5380240128638463,
      1.5212813792065705,
      1.5048954148159988,
      1.4888529014793992,
      1.473141192634291,
      1.4577481982895533,
      1.442662367177388,
      1.427872666675261,
      1.4133686484524064,
      1.399140703223273,
      1.3851797013310503,
      1.3714768351461686,
      1.3580236213982848,
      1.3448118985594073,
      1.3318338216290984,
      1.3190818553905705,
      1.306548745274593,
      1.2942275124872546,
      1.2821114639179203,
      1.270194180438737,
      1.2584695050708503,
      1.2469315319329826,
      1.235574595253408,
      1.2243932692146808,
      1.2133824882527084,
      1.2025375291859206,
      1.191854110454203,
      1.1813279163204118,
      1.1709545541818234,
      1.1607297817125721,
      1.1506495038794413,
      1.140709768511458,
      1.130906762653049,
      1.1212368075073271,
      1.1116963540460154,
      1.1022819784088926,
      1.092990377230573,
      1.0838183628772529,
      1.0747628587769527,
      1.0658208950751744,
      1.0569896043887501,
      1.048266217784736,
      1.0396480604990637,
      1.0311325479254745,
      1.0227171821990098,
      1.0143995486316577,
      1.0061773122202704,
      0.9980482143962702,
      0.9900101000926237,
      0.9820611165046524,
      0.97419956308117,
      0.9664237275813491,
      0.95873189884089,
      0.9511223768417165,
      0.9435936901034848,
      0.9361447535753028,
      0.9287744243394241,
      0.9214814801788681,
      0.9142647070177516,
      0.907123263967657,
      0.9000567348007198,
      0.8930646831275557,
      0.8861464592322279,
      0.8793012586311432,
      0.8725281667558574,
      0.8658261925147792,
      0.8591942939648527,
      0.8526313975799458,
      0.846136412537921,
      0.8397082420994093,
      0.8333457914995273,
      0.8270479739036947,
      0.8208137145480124,
      0.8146419543528858,
      0.8085316517006222,
      0.8024817841171453,
      0.7964913493582513,
      0.7905593658574319,
      0.7846848730507706,
      0.7788669314820312,
      0.7731045294114652,
      0.7673962629239143,
      0.7617407121419445,
      0.7561366104064632,
      0.7505828129717168,
      0.7450782733592829,
      0.7396220242571209,
      0.7342134139763076,
      0.7288520488566946,
      0.723537477869052,
      0.7182693420425237,
      0.7130478997187105,
      0.707873761442462,
      0.7027476926479777,
      0.6976701166578484,
      0.6926411494497976,
      0.6876606877112528,
      0.6827284729211893,
      0.6778441377210059,
      0.6730072394126183,
      0.6682172841405883,
      0.6634737442461033,
      0.6587760710068876,
      0.6541237035647144,
      0.6495160754424351,
      0.6449526192563839,
      0.6404327697669576,
      0.6359559663979992,
      0.6315216547505043,
      0.6271292876257839,
      0.6227783256900152,
      0.6184682381404409,
      0.6141985027399559,
      0.609968657458912,
      0.6057785092788818,
      0.6016279008773626,
      0.5975165815703667,
      0.5934442358156694,
      0.5894105036057796,
      0.5854149953149154,
      0.5814573019378451,
      0.5775370028647324,
      0.5736536711663275,
      0.5698068774253179,
      0.565996192788214,
      0.5622211904592621,
      0.5584814472968124,
      0.5547765448048703,
      0.5511060695501309,
      0.5474697756422575,
      0.5438676626106408,
      0.5402996547316329,
      0.5367655817224192,
      0.5332652080324396,
      0.5297982533979515,
      0.526364407525359,
      0.5229633408345715,
      0.51959471152694,
      0.5162581708849769,
      0.5129533668974673,
      0.5096799469100979,
      0.5064375593613742,
      0.5032258550180443,
      0.5000444877646959,
      0.49689311520621304,
      0.4937713991356363,
      0.490679005641265,
      0.48761560523547,
      0.4845808963518257,
      0.481574890888294,
      0.4785977252310439,
      0.4756493963469151,
      0.4727298046310962,
      0.4698387837689278,
      0.4669761220095366,
      0.4641415766782968,
      0.46133488465035416,
      0.45855576983826696,
      0.4558039481780726,
      0.45307913125083843,
      0.4503810289338546,
      0.4477093510656917,
      0.44506380853836247,
      0.4424441143295309,
      0.4398499839444844,
      0.437281135854853,
      0.43473729178320003,
      0.43221817673340446,
      0.42972351919966056,
      0.4272530510712054,
      0.4248065077934109,
      0.4223836283531594,
      0.41998415508833625,
      0.41760783383064004,
      0.4152544137713973,
      0.41292364740669574,
      0.41061529056151225,
      0.4083291021883204,
      0.4060648444990205,
      0.40382228274419807,
      0.4016011853263042,
      0.39940132366156844,
      0.397222472121964,
      0.3950644080056672,
      0.3929269114855451,
      0.39080976556102004,
      0.3887127560390235,
      0.3866356712893953,
      0.3845783024864818,
      0.38254044344781946,
      0.3805218905524748,
      0.37852244279026337,
      0.37654190158547624,
      0.37458007090371565,
      0.3726367571848863,
      0.3707117691012214,
      0.368804917674834,
      0.3669160163480712,
      0.3650448808286151,
      0.363191329090617,
      0.3613551813291192,
      0.35953632083703113,
      0.3577347238030976,
      0.3559503369304751,
      0.35418307020579815,
      0.3524328083658584,
      0.35069941883393757,
      0.3489827575539044,
      0.3472826728192916,
      0.3455990081804983,
      0.3439316044659837,
      0.34228030092472045,
      0.34064493651227584,
      0.339025350485419,
      0.3374213828672173,
      0.3358328747338312,
      0.3342596683618902,
      0.3327016075171137,
      0.33115853759305985,
      0.3296303054855418,
      0.32811675971171345,
      0.32661775043011165,
      0.32513312964275737,
      0.3236627508793229,
      0.32220646933005576,
      0.32076414726045166,
      0.319335653040635,
      0.31792083929868376,
      0.31651947439080774,
      0.3151313140720529,
      0.3137561486793717,
      0.3123937936847457,
      0.31104408278425794,
      0.30970686317766777,
      0.3083819921170824,
      0.30706933422860777,
      0.30576876006861503,
      0.3044801445472782,
      0.30320336623170546,
      0.30193830647008113,
      0.30068484912279014,
      0.29944288000830077,
      0.29821228678774214,
      0.2969929586507983,
      0.29578478635003097,
      0.2945876619591796,
      0.29340147899139785,
      0.29222613210181175,
      0.2910615217013106,
      0.2899075698792309,
      0.2887642005780154,
      0.28763133087146486,
      0.2865088733580008,
      0.2853967375047442,
      0.28429483092819985,
      0.2832030601578227,
      0.2821213313437641,
      0.281049550656636,
      0.279987624457421,
      0.27893545944180337,
      0.27789296303892413,
      0.2768600433413854,
      0.27583660926584924,
      0.27482257048662273,
      0.27381783748599764,
      0.2728223216572089,
      0.2718359352067426,
      0.27085859121156464,
      0.2698902036403545,
      0.26893068749208776,
      0.26797995853030293,
      0.2670379332106256,
      0.2661045289916644,
      0.26517966415289335,
      0.2642632576911818,
      0.2633552295244889,
      0.2624555004699342,
      0.2615639920456649,
      0.2606806265935834,
      0.25980532725130207,
      0.25893801785047293,
      0.258078609907401,
      0.25722700469888193,
      0.25638311060734675,
      0.25554684232284475,
      0.2547181192942917,
      0.25389686455440463,
      0.25308300381197885,
      0.2522764650500026,
      0.25147717782645246,
      0.2506850732168741,
      0.24990008352021043,
      0.24912214195615032,
      0.248351182760237,
      0.24758714104019003,
      0.24682995259715088,
      0.24607955399101603,
      0.24533588242989918,
      0.24459887583993092,
      0.24386847274642956,
      0.24314461233513707,
      0.2424272343756131,
      0.24171627928662823,
      0.24101168802520406,
      0.24031340210492985,
      0.2396213636412624,
      0.238935515373434,
      0.23825580049761116,
      0.23758216281939504,
      0.23691454667953132,
      0.23625289700841473,
      0.23559715917909294,
      0.23494727911603228,
      0.23430320326571172,
      0.23366487859457488,
      0.23303225252484372,
      0.23240527306283074,
      0.2317838887129401,
      0.23116804849481754,
      0.2305577018225281,
      0.22995279869043847,
      0.22935328950451217,
      0.228759125105982,
      0.22817025684746112,
      0.2275866365686502,
      0.2270082165358808,
      0.22643494943378026,
      0.2258667884982874,
      0.22530368734629458,
      0.22474560004831398,
      0.22419248106253079,
      0.22364428539926026,
      0.22310096838031535,
      0.22256248574279835,
      0.22202879365528047,
      0.22149984872259912,
      0.220975607954189,
      0.2204560287591195,
      0.21994106891701753,
      0.2194306867285435,
      0.21892484070951496,
      0.21842348987100224,
      0.21792659363210307,
      0.21743411175987287,
      0.21694600433554617,
      0.21646223191288796,
      0.21598275536014347,
      0.21550753585549137,
      0.21503653507478676,
      0.21456971497349042,
      0.21410703790078014,
      0.2136484665239467,
      0.2131939637920961,
      0.2127434930789136,
      0.2122970181489167,
      0.21185450297239117,
      0.21141591193536938,
      0.21098120974566192,
      0.21055036144214107,
      0.2101233323663795,
      0.20970008821244374,
      0.20928059496297,
      0.20886481894084105,
      0.2084527266839925,
      0.20804428513901274,
      0.20763946153808407,
      0.207238223506052,
      0.20684053887622195,
      0.2064463757740737,
      0.2060557062240877,
      0.20566851564085198,
      0.20528478788935728,
      0.20490450241743074,
      0.2045276358465096,
      0.20415416261006805,
      0.20378405581263628,
      0.2034172876384756,
      0.20305382966753502,
      0.20269365316356316,
      0.20233672922105922,
      0.20198302884792635,
      0.20163252318763347,
      0.20128518338565923,
      0.20094098085016565,
      0.20059988714477414,
      0.20026187406009166,
      0.1999269135967086,
      0.1995949780128117,
      0.19926603983432084,
      0.19894007173912698,
      0.19861704663241747,
      0.19829693769736453,
      0.19797971833254302,
      0.19766536219168587,
      0.19735384323716232,
      0.19704513569283916,
      0.1967392139089621,
      0.19643605250708857,
      0.19613562641164095
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.1827063526459,
      10.992572692208881,
      10.79201399122442,
      10.58298048810664,
      10.367435618154364,
      10.147330554757234,
      9.92440707079965,
      9.700228100176203,
      9.476238518839768,
      9.253774195515872,
      9.034028893975817,
      8.81802746077202,
      8.606603010245122,
      8.400383979873661,
      8.19979267741386,
      8.005054329989647,
      7.816214570869298,
      7.633162809537199,
      7.45565874463325,
      7.283357745774021,
      7.115841642818881,
      6.95264518406216,
      6.793276598952026,
      6.637235851739897,
      6.484031078110676,
      6.333192345396247,
      6.184283445613545,
      6.0369100966074125,
      5.890721301001375,
      5.7454189170139625,
      5.600758949672912,
      5.456551526413643,
      5.312677643412648,
      5.169084223040497,
      5.0257823510630235,
      4.882843965849182,
      4.7403818501147565,
      4.5985680120074415,
      4.4576349443727645,
      4.317868531630666,
      4.1795994499084985,
      4.043193271756457,
      3.9090389976317996,
      3.7775328935766925,
      3.649070637075078,
      3.524042318594841,
      3.40282118977521,
      3.28575258928737,
      3.173146273665619,
      3.0652709069398636,
      2.962349885143104,
      2.864558255417634,
      2.772021594998108,
      2.6848123895894886,
      2.6029531248090034,
      2.526411849550939,
      2.4551126745521064,
      2.388944192894918,
      2.3277640025278767,
      2.2713979829303796,
      2.2196083937591395,
      2.1720933213512263,
      2.128455985988172,
      2.0882710402942397,
      2.05110866444716,
      2.016550685586876,
      1.9841840076999422,
      1.9536397741757554,
      1.9246292653718737,
      1.8969337696774462,
      1.8703819444028182,
      1.8448322282250686,
      1.8201633170499483,
      1.796283778344598,
      1.7731290419666716,
      1.7506447440034318,
      1.7287839583775386,
      1.7075065007782624,
      1.68677868550186,
      1.6665713040463241,
      1.646858277928395,
      1.6276171013072391,
      1.6088274380516545,
      1.590470241007335,
      1.572528350686944,
      1.5549864162494484,
      1.5378297062223691,
      1.521044010418304,
      1.5046156489669031,
      1.4885314570464792,
      1.472778811951483,
      1.4573456354619416,
      1.44222037868185,
      1.4273920041254282,
      1.4128500513767077,
      1.39858489463713,
      1.3845873897509542,
      1.3708487121989776,
      1.3573603597420025,
      1.344114150457561,
      1.3311022181649428,
      1.3183169874368275,
      1.3057511698311643,
      1.2933977718680543,
      1.2812500848301838,
      1.2693016733437863,
      1.2575463644782416,
      1.2459782359922476,
      1.234591605754246,
      1.223381033056407,
      1.2123414385976132,
      1.201468081408443,
      1.1907566075051705,
      1.1802026022902292,
      1.1698016915866647,
      1.1595496454496168,
      1.1494423764941248,
      1.1394759366623308,
      1.129646514105721,
      1.1199504290576299,
      1.110384130061847,
      1.100944188967876,
      1.0916272973746792,
      1.0824302622679969,
      1.073350001137493,
      1.0643835379757864,
      1.0555279986601755,
      1.0467806073701982,
      1.0381386826407637,
      1.0295996333780868,
      1.021160955011142,
      1.0128202265097586,
      1.0045751066092268,
      0.996423330529627,
      0.9883628644413287,
      0.9803919405222317,
      0.972508807237526,
      0.9647117104857593,
      0.9569989048822174,
      0.9493688182643206,
      0.9418203217981752,
      0.9343522656237957,
      0.9269633849860669,
      0.9196523811515336,
      0.9124183266241402,
      0.9052608137777478,
      0.8981793683572418,
      0.8911733027091255,
      0.884241774720148,
      0.8773838326231538,
      0.8705984485746072,
      0.8638845447433514,
      0.8572410124818659,
      0.8506667270709874,
      0.8441605583813441,
      0.83772137931434,
      0.8313480715902446,
      0.8250395302253624,
      0.8187946665120782,
      0.8126124103792942,
      0.8064917116872433,
      0.8004315413297285,
      0.7944308916951829,
      0.788488776949476,
      0.7826042331986277,
      0.7767763181286295,
      0.7710038392872625,
      0.7652853112656619,
      0.7596193720650778,
      0.7540047993880493,
      0.7484404826605715,
      0.7429254015626935,
      0.7374588098733077,
      0.7320402676520852,
      0.7266693080213295,
      0.7213455435434732,
      0.7160692009176983,
      0.7108408676905738,
      0.7056613063037641,
      0.7005309453635119,
      0.6954499005739316,
      0.6904180646102068,
      0.6854351721176034,
      0.6805008472953679,
      0.675614637686556,
      0.6707760390281932,
      0.6659845128623604,
      0.6612394992505733,
      0.6565404262579534,
      0.6518867162112948,
      0.6472777905828481,
      0.642713073312406,
      0.6381919930885281,
      0.6337139848262687,
      0.6292784909326234,
      0.6248849621365626,
      0.6205328576585735,
      0.6162216454597848,
      0.6119508314886987,
      0.6077201820842963,
      0.6035295512951928,
      0.5993786943058046,
      0.5952672972447406,
      0.5911949990421166,
      0.5871614069172192,
      0.5831661075558909,
      0.5792086750301303,
      0.5752886766066445,
      0.5714056763854147,
      0.5675592387668601,
      0.563748930333969,
      0.5599743211487948,
      0.556234985901493,
      0.5525305043558602,
      0.5488606458895395,
      0.5452254094854245,
      0.5416247085051145,
      0.5380583627884985,
      0.5345261281382805,
      0.531027716205182,
      0.5275628095217636,
      0.5241310715041291,
      0.5207321536692534,
      0.5173657010073199,
      0.5140313555536132,
      0.5107287588589196,
      0.5074575536218119,
      0.5042173849975706,
      0.5010079015636427,
      0.4978287557161173,
      0.49467960411016637,
      0.4915601078662111,
      0.48846993249246684,
      0.48540880072727355,
      0.48237676523834067,
      0.4793739401582119,
      0.4764003052672777,
      0.4734557474900072,
      0.47054008975582967,
      0.46765311130589254,
      0.4647945619064648,
      0.4619641718748294,
      0.459161659249833,
      0.456386734513717,
      0.4536391042558488,
      0.4509184737399912,
      0.44822454825766217,
      0.4455570345446007,
      0.44291564147637685,
      0.4403000805304064,
      0.4377100663715193,
      0.4351453169280672,
      0.43260555354384306,
      0.4300905011055331,
      0.4275998880187205,
      0.4251334463128653,
      0.42269091146881055,
      0.4202720225535796,
      0.41787652207821524,
      0.41550415606175334,
      0.4131546738184603,
      0.4108278280021637,
      0.40852337460275956,
      0.406241072793358,
      0.40398068500955264,
      0.40174197670133527,
      0.39952471641878806,
      0.3973286757230897,
      0.3951536291517587,
      0.39299935408561365,
      0.390865630898634,
      0.3887522426791998,
      0.38665897531069854,
      0.38458561742876796,
      0.38253196025436464,
      0.3804977977612233,
      0.37848292659278443,
      0.3764871457537915,
      0.37451025681398703,
      0.3725520637334324,
      0.37061237292069016,
      0.36869099329426763,
      0.36678773609397863,
      0.3649024148734812,
      0.36303484544602094,
      0.3611848457826882,
      0.3593522677030532,
      0.3575370794295299,
      0.3557392381103544,
      0.35395866057499725,
      0.3521952357449114,
      0.3504488334269093,
      0.3487193105398725,
      0.3470065155349246,
      0.34531029158516113,
      0.34363047855681744,
      0.3419669147608651,
      0.3403194377539719,
      0.33868788528653015,
      0.33707209576370434,
      0.3354719085790903,
      0.3338871643976342,
      0.33231770528744614,
      0.3307633748920099,
      0.32922401851600563,
      0.32769948298549223,
      0.3261896168035321,
      0.32469427027086006,
      0.3232132953309772,
      0.32174654549462534,
      0.32029387607324555,
      0.3188551470614687,
      0.3174301725563466,
      0.3160187006667263,
      0.3146205051278524,
      0.31323538864793943,
      0.31186317513917383,
      0.3105037040989019,
      0.30915682642032283,
      0.3078224015663066,
      0.30650029552392927,
      0.3051903792900427,
      0.30389252794619637,
      0.3026066196325735,
      0.30133253506584284,
      0.3000701572683905,
      0.29881937122854857,
      0.29758006361715234,
      0.29635212254711757,
      0.2951354377695475,
      0.29392990031470034,
      0.29273540246705904,
      0.2915518377691831,
      0.2903791123480444,
      0.28921715077349003,
      0.28806587313804144,
      0.2869251934713202,
      0.28579502170191035,
      0.284675265233972,
      0.28356582994064333,
      0.2824666208327844,
      0.28137754260865194,
      0.28029850003602974,
      0.27922939834665106,
      0.278170143096294,
      0.27712064061103375,
      0.2760807979641707,
      0.27505052304458516,
      0.2740297244230949,
      0.27301831162787377,
      0.27201619515543624,
      0.27102328631894196,
      0.27003949734045735,
      0.2690647412547561,
      0.268098932044886,
      0.2671419844748191,
      0.26619381421680205,
      0.26525433784156194,
      0.26432347278578494,
      0.26340113737310794,
      0.2624872507101239,
      0.2615817327505494,
      0.2606845041578873,
      0.259795486539599,
      0.25891460218742696,
      0.2580417646888864,
      0.2571768738871057,
      0.2563198351690619,
      0.2554705607042766,
      0.25462896760746495,
      0.2537949769207355,
      0.2529685124826697,
      0.2521495005327427,
      0.25133786918443024,
      0.25053354799386485,
      0.24973646769869562,
      0.24894656020298697,
      0.24816375833685594,
      0.24738799582266163,
      0.2466192072443129,
      0.24585732776480418,
      0.2451022934055803,
      0.24435404080666237,
      0.2436125072945297,
      0.24287763081206964,
      0.24214934995218204,
      0.24142760394275753,
      0.2407123324809007,
      0.24000347600121252,
      0.23930097553937604,
      0.2386047725595351,
      0.23791480913919064,
      0.2372310280543297,
      0.23655337249802666,
      0.23588178627074446,
      0.23521621373128776,
      0.23455659972402654,
      0.2339028896855981,
      0.23325502951214408,
      0.23261296569499398,
      0.23197664520391365,
      0.231346015461089,
      0.2307210244435954,
      0.23010162064801717,
      0.22948775300570473,
      0.2288793710030696,
      0.2282764246003158,
      0.22767886418978664,
      0.2270866405557069,
      0.2264997051533757,
      0.2259180097798857,
      0.22534150675496403,
      0.224770148772685,
      0.22420388903452423,
      0.2236426811803519,
      0.2230864792973285,
      0.22253523787932533,
      0.22198891182620356,
      0.22144745650778375,
      0.2209108277403297,
      0.22037898171392417,
      0.21985187498448963,
      0.21932946459442312,
      0.2188117080167545,
      0.21829856306248985,
      0.21778998790391677,
      0.21728594118790773,
      0.21678638196008929,
      0.21629126960314643,
      0.2158005638655297,
      0.21531422485290067,
      0.21483221307193315,
      0.2143544894499902,
      0.21388101526725814,
      0.21341175209004964,
      0.21294666190871292,
      0.21248570698440272,
      0.21202885002748392,
      0.21157605407222782,
      0.2111272824926684,
      0.2106824989814184,
      0.21024166758032742,
      0.20980475269992685,
      0.2093717190636963,
      0.20894253174250835,
      0.2085171560631058,
      0.20809555770821922,
      0.20767770270341307,
      0.20726355734180102,
      0.20685308823668283,
      0.2064462668768681,
      0.20604307808573696,
      0.2056435045453438,
      0.20524752468797086,
      0.20485511385060187,
      0.20446624513787978,
      0.2040808902889957,
      0.2036990200686354,
      0.2033206047049865,
      0.20294561412219278,
      0.20257401801867447,
      0.202205786084716,
      0.20184088802892022,
      0.2014792937066463,
      0.20112097319781286,
      0.2007658967711067,
      0.20041403487452455,
      0.20006535818975654,
      0.1997198376621914,
      0.1993774444809352,
      0.19903815007241987,
      0.19870192615849816,
      0.19836874472650257,
      0.19803857796221744,
      0.19771139829787882,
      0.1973871785375146,
      0.1970658915893722,
      0.19674751074546584,
      0.19643200945397404,
      0.19611936137186908,
      0.19580954045638843,
      0.19550252094346474,
      0.19519827732681608,
      0.19489678429998475,
      0.19459801671182178
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182697361658757,
      10.992529581179816,
      10.791918018929158,
      10.582817932873903,
      10.367197874290405,
      10.147013676515606,
      9.924011861016561,
      9.699758761100856,
      9.47570135542235,
      9.253176811508743,
      9.033379002082691,
      8.817332537909063,
      8.605870001342023,
      8.399619061414526,
      8.199001099117716,
      8.00424033243201,
      7.815381372285811,
      7.632312653850321,
      7.454792737968203,
      7.282475652969195,
      7.1149424839376465,
      6.951727733524442,
      6.79233947513139,
      6.636277614048353,
      6.483050357583539,
      6.332187967415094,
      6.183254681929587,
      6.035857320004037,
      5.8896456137322675,
      5.744321878498138,
      5.599642880678911,
      5.455419473952148,
      5.311533199272876,
      5.167931339198796,
      5.024625649906078,
      4.8816890726986735,
      4.739235329048577,
      4.597436908614957,
      4.456526691778104,
      4.3167908300329465,
      4.178560125569441,
      4.042200120961316,
      3.908099935899411,
      3.776656070511154,
      3.6482637114728687,
      3.5233123745123525,
      3.4021744361389956,
      3.285194265746682,
      3.172680584315683,
      3.064900742182019,
      2.9620769501927486,
      2.8643832304696084,
      2.7719438189013577,
      2.684829818940108,
      2.603062760376874,
      2.5266093021139344,
      2.4553930238197377,
      2.3893015265208684,
      2.32819179186819,
      2.2718878987245974,
      2.220150469079561,
      2.1726755843104444,
      2.1290642708432945,
      2.0888917677645202,
      2.0517290716991665,
      2.017159597094705,
      1.9847712969275255,
      1.9541977118026184,
      1.925152330781386,
      1.8974180307708015,
      1.8708246919188785,
      1.8452317174522759,
      1.8205185894185414,
      1.7965937265329193,
      1.7733928549992368,
      1.7508621968793423,
      1.7289551731341204,
      1.7076317380917445,
      1.6868582031840251,
      1.6666055647096725,
      1.6468477378722512,
      1.6275620728048836,
      1.6087283971842776,
      1.5903277830618325,
      1.572342785299039,
      1.554758019762085,
      1.5375588913610931,
      1.5207312915613556,
      1.5042616198060534,
      1.4881367854821999,
      1.4723441991265969,
      1.4568717963009437,
      1.4417080321230258,
      1.4268418661156854,
      1.412262828072173,
      1.3979612786933124,
      1.383928060503162,
      1.3701543328535377,
      1.356631575379344,
      1.3433515852568205,
      1.3303064569821417,
      1.3174885845372988,
      1.3048906652383343,
      1.292505690711996,
      1.2803269364219392,
      1.2683479507288296,
      1.2565625444601485,
      1.244964779313448,
      1.2335489570193607,
      1.2223096226797734,
      1.2112416839228755,
      1.2003403811446023,
      1.1896012486343779,
      1.179019824195059,
      1.1685917503803112,
      1.1583128084527106,
      1.148178917660015,
      1.138186133195801,
      1.128330644013927,
      1.1186087690169577,
      1.1090169538999333,
      1.0995517666039192,
      1.0902098938570164,
      1.0809881370069199,
      1.0718834075330406,
      1.0628927229790552,
      1.0540132030287763,
      1.045242065496372,
      1.036576622407828,
      1.028014276245814,
      1.0195525162270151,
      1.0111889149864934,
      1.0029211251787373,
      0.9947469327752317,
      0.9866644483890024,
      0.9786718817971015,
      0.9707674360732552,
      0.9629493201031224,
      0.9552158721774318,
      0.9475658898954017,
      0.9399982081767794,
      0.9325115490830942,
      0.9251045476377464,
      0.9177761817739377,
      0.9105260308260094,
      0.9033535807414829,
      0.8962581043305938,
      0.8892387199801143,
      0.882294436893362,
      0.8754241893497391,
      0.8686268621991817,
      0.8619013105526416,
      0.8552463743276354,
      0.8486608890112598,
      0.8421436941975633,
      0.8356936391613667,
      0.8293095874226812,
      0.8229904199104511,
      0.8167350369943983,
      0.8105423599046313,
      0.8044113318026948,
      0.7983409182582613,
      0.7923301075956668,
      0.7863779107099603,
      0.780483360865795,
      0.7746454515324752,
      0.7688627993059994,
      0.7631339343319739,
      0.7574575470679404,
      0.7518324555858646,
      0.7462575804987943,
      0.7407320765880538,
      0.7352554540930913,
      0.7298272274125563,
      0.7244469779944239,
      0.719114898852671,
      0.713831552941701,
      0.7085976983355121,
      0.703413767740149,
      0.6982798754652477,
      0.6931959094197785,
      0.6881615972821684,
      0.6831765542567836,
      0.6782403179188115,
      0.6733523730722444,
      0.6685121701020726,
      0.6637191376130998,
      0.6589726919631257,
      0.6542722440249404,
      0.6496172039118419,
      0.6450069842669643,
      0.6404410026371035,
      0.6359186832455491,
      0.6314394579416684,
      0.6270027669680814,
      0.622608059269454,
      0.61825479316024,
      0.6139424412700414,
      0.6096707279416935,
      0.6054395193202495,
      0.6012485763136426,
      0.5970975870812159,
      0.5929861896196171,
      0.5889139881466924,
      0.5848805648372716,
      0.5808854883972102,
      0.5769283198606925,
      0.5730086170030836,
      0.5691259375123664,
      0.5652798410818896,
      0.5614698909416668,
      0.5576956546816613,
      0.5539567054131052,
      0.5502528279112042,
      0.5465840203920642,
      0.54295018491035,
      0.5393511316271533,
      0.5357866073435928,
      0.5322563157089233,
      0.5287599316388565,
      0.5252971112867487,
      0.5218674996391015,
      0.5184707354528032,
      0.5151064545710251,
      0.511774292543939,
      0.5084738863093783,
      0.5052048753981837,
      0.5019669027952267,
      0.4987596156135581,
      0.49558266522724115,
      0.49243570757646754,
      0.4893184034946383,
      0.48623049957354,
      0.4831720888830604,
      0.4801432630933367,
      0.4771439850533676,
      0.47417412840266426,
      0.47123350530491276,
      0.46832188606852815,
      0.4654390127047559,
      0.4625846087856848,
      0.45975838642447514,
      0.45696005075854396,
      0.4541893033252086,
      0.45144584462161347,
      0.44872937550229175,
      0.44603959830942747,
      0.4433762177410191,
      0.4407389413828716,
      0.4381274799588492,
      0.4355415475285479,
      0.4329808618119669,
      0.4304451439301849,
      0.427934118732163,
      0.42544751463998487,
      0.42298506369972716,
      0.4205465016346236,
      0.41813156769795917,
      0.415740004604509,
      0.4133715584651092,
      0.41102597885117775,
      0.4087030186842644,
      0.40640243410350774,
      0.4041239843615063,
      0.4018674320280402,
      0.39963254274024695,
      0.39741908520971675,
      0.39522683115701845,
      0.3930555553003782,
      0.3909050352209275,
      0.3887750513836715,
      0.3866653870856131,
      0.38457582833138054,
      0.38250616391562775,
      0.38045618520378016,
      0.3784256861958998,
      0.37641446359446373,
      0.37442231659560876,
      0.3724490469134494,
      0.37049445865501096,
      0.36855835837657075,
      0.36664055514415583,
      0.3647408600887611,
      0.3628590869312218,
      0.36099505159578166,
      0.3591485875947339,
      0.3573196381917785,
      0.35550817218580893,
      0.3537141137619583,
      0.35193735656455016,
      0.35017777312102777,
      0.3484352217421498,
      0.3467095512039365,
      0.34500060434814217,
      0.3433082202831298,
      0.3416322361093806,
      0.3399724881253491,
      0.3383288125432507,
      0.33670104620147046,
      0.33508902679213676,
      0.33349259326684577,
      0.3319115860657725,
      0.3303458472853643,
      0.3287952203658442,
      0.3272595504931564,
      0.32573868454636246,
      0.32423247111224784,
      0.32274076051607375,
      0.32126340479247506,
      0.3198002575459431,
      0.31835115915306583,
      0.31691586815262607,
      0.31549413818978017,
      0.31408576004321426,
      0.3126905482666997,
      0.31130833480069897,
      0.30993896449132796,
      0.308582291697588,
      0.30723817794989594,
      0.30590649038385753,
      0.3045871005110363,
      0.3032798832074664,
      0.30198471617108064,
      0.3007014796043053,
      0.29943005576413007,
      0.2981703286455757,
      0.29692218375897267,
      0.2956855083822099,
      0.29446019113102034,
      0.2932461219271312,
      0.29204319190637174,
      0.29085129418192707,
      0.2896703421415925,
      0.2885002600161745,
      0.28734096412135124,
      0.286192365378629,
      0.28505437134244266,
      0.2839268873740774,
      0.28280981752629025,
      0.2817030652437544,
      0.28060653388221724,
      0.2795201268823109,
      0.278443748133883,
      0.27737730218814766,
      0.27632069424225825,
      0.2752738302526029,
      0.27423661703734153,
      0.2732089622536268,
      0.27219077456843055,
      0.27118196345015927,
      0.2701824392425332,
      0.26919211316441527,
      0.26821089738850323,
      0.26723870497019886,
      0.2662754498805255,
      0.2653210469147955,
      0.2643754117178414,
      0.2634384607992942,
      0.2625101115382403,
      0.26159028233089104,
      0.2606788923084119,
      0.2597758613115545,
      0.258881110083474,
      0.25799455403066623,
      0.25711609162633275,
      0.2562456251834958,
      0.25538306425770174,
      0.2545283237367784,
      0.25368132257359605,
      0.2528419829025731,
      0.2520102292566287,
      0.2511859881235329,
      0.25036918744537545,
      0.2495597565557276,
      0.248757625892437,
      0.24796272694334404,
      0.24717499204249374,
      0.24639435436020615,
      0.24562074781948662,
      0.2448541071420045,
      0.24409436761684508,
      0.2433414653162673,
      0.24259533702135577,
      0.24185592001009584,
      0.2411231522285771,
      0.2403969722226497,
      0.23967731923698188,
      0.23896413307439038,
      0.23825735413541388,
      0.2375569233704598,
      0.23686278232289093,
      0.23617487313601934,
      0.23549313843447464,
      0.23481752151273977,
      0.2341479661695988,
      0.23348441674778203,
      0.23282681806074373,
      0.23217511556295323,
      0.23152925512760647,
      0.2308891831821436,
      0.23025484661649204,
      0.2296261929474124,
      0.2290031701284119,
      0.22838572666675205,
      0.22777381161501928,
      0.2271673744116631,
      0.22656636500293523,
      0.22597073372458143,
      0.22538043146494272,
      0.22479540957519858,
      0.2242156199340368,
      0.22364101483590026,
      0.22307154698259563,
      0.22250716953956542,
      0.22194783620671737,
      0.2213935010363958,
      0.22084411854547353,
      0.22029964372697597,
      0.2197600319489117,
      0.21922523895623464,
      0.21869522097558372,
      0.21816993470757123,
      0.2176493371550292,
      0.21713338568145557,
      0.21662203814690162,
      0.21611525272753052,
      0.21561298805427445,
      0.2151152031369788,
      0.21462185732785563,
      0.2141329104896573,
      0.2136483228095303,
      0.2131680547412085,
      0.21269206717692188,
      0.21222032136660662,
      0.21175277888912264,
      0.2112894017392377,
      0.210830152237828,
      0.2103749930704872,
      0.20992388737833936,
      0.2094767985323564,
      0.2090336901629482,
      0.2085945263177561,
      0.2081592713788979,
      0.20772789008345288,
      0.20730034751977,
      0.2068766130157287,
      0.20645667037099485,
      0.20604050181754224,
      0.20562808487956974,
      0.20521939371572853,
      0.2048144003595113,
      0.20441307522605,
      0.20401538781649287,
      0.20362130701136955,
      0.20323080128557217,
      0.2028438388958995,
      0.20246038809329905,
      0.2020804172460816,
      0.20170389482323933,
      0.20133078948020966,
      0.2009610700687285,
      0.200594705647428,
      0.2002316656203495,
      0.19987191962225237,
      0.19951543744314373,
      0.1991621892073916,
      0.1988121452617188,
      0.19846527621665927,
      0.19812155303961435,
      0.19778094693316667,
      0.19744342932876308,
      0.19710897198270974,
      0.19677754684464704,
      0.19644912616838092,
      0.19612368247114156,
      0.1958011885189783,
      0.1954816173517101,
      0.19516494230859066,
      0.194851136826012,
      0.19454017470645038,
      0.19423202994329078,
      0.19392667675013822,
      0.1936240896288512,
      0.19332424329879394,
      0.1930271127159222
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182688105372137,
      10.992485520487152,
      10.791820181205736,
      10.582652355504532,
      10.36695565648983,
      10.146690560054658,
      9.923608340780703,
      9.699278751570718,
      9.47515091043648,
      9.25256331688981,
      9.03270998864703,
      8.816615335202654,
      8.605111437284071,
      8.39882522261171,
      8.19817716367391,
      8.00339048163237,
      7.814508773476473,
      7.631419502763471,
      7.45388009716032,
      7.281543245616868,
      7.113989282643792,
      6.950752459244834,
      6.791340676215994,
      6.635253773014587,
      6.482000024292208,
      6.3311098834966515,
      6.182148044024222,
      6.034722423665185,
      5.888483479596432,
      5.743134000045679,
      5.598431520026473,
      5.454187643970071,
      5.3102844958549635,
      5.166669750881556,
      5.023355878677391,
      4.880416771099973,
      4.737967185817304,
      4.596180149751241,
      4.455288985621618,
      4.315580165994989,
      4.1773846695945425,
      4.041068053097197,
      3.907019522897471,
      3.7756358338406026,
      3.647311765853927,
      3.522436274867751,
      3.4013808656489344,
      3.284488931605289,
      3.17206814389595,
      3.0643846352921362,
      2.961659280357032,
      2.864065042655609,
      2.7717248201384996,
      2.684708343782531,
      2.603036055706941,
      2.5266731908729105,
      2.4555427528945755,
      2.3895313110029694,
      2.3284951986331808,
      2.272256618871951,
      2.220574500614708,
      2.1731427556895726,
      2.1295602353562364,
      2.0894028610707855,
      2.052242429477714,
      2.0176636783438147,
      1.985255856701385,
      1.9546549378694211,
      1.9255766308581452,
      1.8978054094804355,
      1.8711723780661873,
      1.8455378963376208,
      1.820782225087517,
      1.7968136605854368,
      1.7735682304891256,
      1.7509927368172202,
      1.729040948500229,
      1.7076730110614686,
      1.6868552160890724,
      1.6665587146258767,
      1.6467575114175126,
      1.6274287884758598,
      1.6085524484761005,
      1.5901096914065556,
      1.5720829574183528,
      1.5544566439758327,
      1.5372163030134647,
      1.5203479355539689,
      1.5038380214314861,
      1.487673535876406,
      1.4718419494978259,
      1.4563312200928331,
      1.4411298096780396,
      1.4262266771760215,
      1.4116113453914116,
      1.3972741647287417,
      1.3832059658537204,
      1.3693978932774813,
      1.3558414049877519,
      1.342528259454847,
      1.3294505269960655,
      1.3166005882741252,
      1.3039711263386053,
      1.2915551173831226,
      1.2793458208564028,
      1.2673367691486521,
      1.2555217567621904,
      1.2438948295280636,
      1.2324502734564309,
      1.2211826187724482,
      1.2100867593572218,
      1.199157896668318,
      1.1883914544966654,
      1.1777829578221086,
      1.167328063732487,
      1.1570225629169126,
      1.1468623800371618,
      1.1368435729795232,
      1.1269623307335213,
      1.1172149706561223,
      1.1075979350633531,
      1.0981077877491596,
      1.0887412105196923,
      1.0794949989644378,
      1.0703660588187967,
      1.0613514017272858,
      1.052448140994886,
      1.0436534879618797,
      1.0349647483655844,
      1.0263793184575034,
      1.0178946815573817,
      1.0095084041994937,
      1.0012181331091117,
      0.9930218006800247,
      0.9849175733116287,
      0.9769036107892263,
      0.9689780754241684,
      0.9611392306262384,
      0.9533857820550278,
      0.9457165286723169,
      0.9381301753801515,
      0.930625338302136,
      0.9232008938705142,
      0.9158563861398202,
      0.9085912591817198,
      0.9014047438576245,
      0.8942959173308945,
      0.8872637482890695,
      0.8803071311288484,
      0.873424912184041,
      0.8666159086687829,
      0.8598789237417375,
      0.8532127575279459,
      0.8466162148417029,
      0.8400881115179847,
      0.8336272785079304,
      0.8272325652817558,
      0.8209028417394427,
      0.8146369996065681,
      0.8084339534777357,
      0.8022926414143707,
      0.7962120246970519,
      0.7901910880605194,
      0.7842288397046395,
      0.7783243106795962,
      0.772476336131336,
      0.7666834112217109,
      0.7609441287379929,
      0.7552572271603166,
      0.7496215614588587,
      0.7440361821345788,
      0.7385005455562643,
      0.7330141440143657,
      0.7275765247870905,
      0.7221878443442438,
      0.7168486392459114,
      0.7115596618905884,
      0.7063213480910515,
      0.7011338104909038,
      0.6959969318700928,
      0.6909104318772864,
      0.6858739161532009,
      0.6808869116460419,
      0.675948892088032,
      0.6710592961492204,
      0.6662175407896374,
      0.6614230305628941,
      0.6566751646040889,
      0.6519733412233465,
      0.6473169615188429,
      0.6427054317682123,
      0.6381381649121888,
      0.6336145819259207,
      0.6291341123965392,
      0.62469619509959,
      0.620300278094357,
      0.615945818848753,
      0.6116324895953327,
      0.6073601494516604,
      0.6031285680731737,
      0.598937437556341,
      0.5947863962939955,
      0.5906750464139157,
      0.586602966279917,
      0.5825697193926702,
      0.5785748611189482,
      0.5746179428891361,
      0.5706985156839334,
      0.5668161323645577,
      0.5629703490582247,
      0.5591607265457873,
      0.555386830842688,
      0.5516484623945695,
      0.547945618801019,
      0.5442781907368517,
      0.5406459782108219,
      0.5370487191395101,
      0.533486108887522,
      0.5299578145779619,
      0.5264634852888769,
      0.5230027592380271,
      0.5195752684893575,
      0.5161806425201679,
      0.5128185109157676,
      0.5094885047685596,
      0.5061902579579524,
      0.5029234080606334,
      0.4996875965899963,
      0.49648246971178234,
      0.4933076781909694,
      0.4901628774872279,
      0.4870478421136356,
      0.4839626995765392,
      0.4809075198651103,
      0.47788224917190286,
      0.47488674805537895,
      0.4719208179201213,
      0.4689842201295118,
      0.4660766892142504,
      0.4631979421057273,
      0.4603476849011548,
      0.4575256173370162,
      0.4547314359021394,
      0.45196483623796185,
      0.44922551470720523,
      0.4465131692639709,
      0.4438275003665673,
      0.4411682114787306,
      0.43853500931406836,
      0.4359276041809266,
      0.4333457098440861,
      0.43078904381960487,
      0.42825732736566635,
      0.42575028539915794,
      0.4232676464395764,
      0.42080914280966325,
      0.41837451027920014,
      0.41596348819469864,
      0.41357581943357774,
      0.41121125033619726,
      0.4088695306918518,
      0.4065504134990222,
      0.40425365508474176,
      0.40197901499820954,
      0.3997262559586069,
      0.3974951438062693,
      0.3952854474319958,
      0.3930969387095005,
      0.39092939248215297,
      0.3887825865278098,
      0.3866563014762734,
      0.3845503206796265,
      0.382464430238248,
      0.380398419004752,
      0.3783520786174293,
      0.3763252033083921,
      0.3743175898172627,
      0.37232903748603546,
      0.3703593481035445,
      0.3684083258804598,
      0.36647577750428273,
      0.36456151199455256,
      0.36266534079044493,
      0.360787077587867,
      0.3589265383838356,
      0.3570836412169235,
      0.3552583658979507,
      0.35345064422605244,
      0.3516603745547636,
      0.3498874321005562,
      0.3481316763642552,
      0.34639295650661833,
      0.34467111495226493,
      0.34296599004932354,
      0.341277417743242,
      0.3396052329587093,
      0.3379492703633468,
      0.33630936510156245,
      0.334685353310645,
      0.3330770723443502,
      0.3314843608832671,
      0.3299070591742275,
      0.3283450089289771,
      0.32679805374663995,
      0.32526603878960886,
      0.3237488109969803,
      0.32224621899602557,
      0.3207581131447204,
      0.3192843454763447,
      0.31782471106540783,
      0.31637894275690004,
      0.31494680407478914,
      0.3135280949265171,
      0.3121226413359323,
      0.3107302832845852,
      0.309350870796075,
      0.30798426159428366,
      0.30663031933493456,
      0.3052889122899969,
      0.30395991222518265,
      0.3026431939631576,
      0.3013386348796283,
      0.3000461144709271,
      0.29876551411885954,
      0.2974967168097593,
      0.29623960717596726,
      0.2949940712747964,
      0.29375999666402014,
      0.29253727207415553,
      0.29132578757994626,
      0.2901254396325859,
      0.28893614744243207,
      0.28775783098232754,
      0.2865904032598898,
      0.28543377266015,
      0.28428784432759546,
      0.28315252166267496,
      0.2820277070210938,
      0.28091330240871465,
      0.2798092097030073,
      0.27871533115300695,
      0.277631569433848,
      0.27655782795688916,
      0.27549401082493274,
      0.2744400229417401,
      0.27339577009821875,
      0.27236115895932933,
      0.2713360971675848,
      0.27032049314402035,
      0.2693142562728475,
      0.2683172969364827,
      0.2673295263876816,
      0.26635085661152946,
      0.26538120069851806,
      0.26442047258442075,
      0.26346858706013376,
      0.26252545980919173,
      0.2615910073844156,
      0.2606651472379065,
      0.25974779765227624,
      0.2588388777246551,
      0.2579383032209718,
      0.25704597262940426,
      0.25616178516004684,
      0.2552856477373393,
      0.2544174729657897,
      0.25355717779158654,
      0.2527046824592316,
      0.2518599097604952,
      0.2510227844321224,
      0.25019323285294764,
      0.24937118286131443,
      0.248556563424569,
      0.24774930460539007,
      0.2469493372896301,
      0.246156593311432,
      0.24537100525054412,
      0.2445925065248219,
      0.2438210310653569,
      0.24305651365503592,
      0.2422988897224623,
      0.24154809531626745,
      0.24080406717045608,
      0.24006674267000264,
      0.23933605980596684,
      0.2386119571579677,
      0.2378943738657473,
      0.2371832497806126,
      0.23647852537756348,
      0.23578014147857054,
      0.23508803962574198,
      0.23440216194792632,
      0.23372245113096582,
      0.2330488504536551,
      0.23238130362172785,
      0.2317197549596123,
      0.2310641492988813,
      0.230414432020835,
      0.229770549126727,
      0.22913244705530617,
      0.22850007275629003,
      0.2278733736765803,
      0.22725229776060737,
      0.22663679352892838,
      0.2260268099422893,
      0.22542229641994593,
      0.22482320291020927,
      0.22422947979766114,
      0.22364107795157806,
      0.22305794880126034,
      0.222480044248308,
      0.22190731661838292,
      0.22133971866522462,
      0.22077720360188588,
      0.2202197250058478,
      0.21966723700561575,
      0.21911969415093002,
      0.21857705136086397,
      0.21803926396211165,
      0.2175062877543094,
      0.21697807896218893,
      0.2164545942403153,
      0.21593579057743426,
      0.21542162546911617,
      0.21491205667240812,
      0.21440704235563945,
      0.2139065411988212,
      0.2134105122030728,
      0.2129189147431993,
      0.21243170864674957,
      0.2119488540328709,
      0.2114703114960329,
      0.21099604190928398,
      0.21052600652140196,
      0.21006016694077487,
      0.20959848517128055,
      0.20914092354808866,
      0.20868744468702033,
      0.20823801172772602,
      0.20779258809505197,
      0.20735114035165994,
      0.2069136493724245,
      0.20648009751454008,
      0.2060504618388072,
      0.2056247158708537,
      0.20520283053382474,
      0.20478477507147977,
      0.20437051767177486,
      0.20396002579396533,
      0.20355326651813674,
      0.20315020675323334,
      0.20275081334277592,
      0.20235505317020244,
      0.20196289330227873,
      0.2015743008915184,
      0.20118924330780738,
      0.20080768822000025,
      0.20042960347493913,
      0.200054957295079,
      0.19968371813419,
      0.19931585469905028,
      0.19895133597209064,
      0.19859013136241543,
      0.19823221037462377,
      0.19787754285078937,
      0.19752609889532205,
      0.19717784890266415,
      0.19683276362435173,
      0.1964908139953641,
      0.19615197121579273,
      0.19581620675708114,
      0.19548349243277036,
      0.19515380021620532,
      0.19482710238947937,
      0.19450337156625214,
      0.19418258051236698,
      0.1938647022850098,
      0.19354971022014067,
      0.19323757784469403,
      0.19292827903131402,
      0.19262178779800238,
      0.1923180784263486,
      0.1920171254408594,
      0.19171890365266556,
      0.19142338808988735
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182678625289942,
      10.992440645666395,
      10.79172071961031,
      10.582484116796858,
      10.36670945382857,
      10.146361835505669,
      9.923197295855847,
      9.698789027740894,
      9.474588320786856,
      9.251935037717436,
      9.032023375227306,
      8.815877574416962,
      8.60432924378326,
      8.398004593028107,
      8.197323205975742,
      8.00250732100133,
      7.813599527310217,
      7.630486318783007,
      7.452923993069411,
      7.280563903569236,
      7.112985652952778,
      6.949723232249479,
      6.790284331716762,
      6.63416871842975,
      6.480884730307091,
      6.329963012879874,
      6.180968722178884,
      6.033510872613362,
      5.887240642103994,
      5.7418613084099634,
      5.597131181069135,
      5.452862638246648,
      5.308938422430984,
      5.16530663198459,
      5.021980491157953,
      4.879034851191599,
      4.736585535216151,
      4.59480615977111,
      4.453930542605625,
      4.3142455271915425,
      4.176082314413889,
      4.03980651626633,
      3.9058072530737227,
      3.7744815669111045,
      3.646224060530762,
      3.5214231443854453,
      3.4004494538246886,
      3.283645399473577,
      3.1713175875776756,
      3.063731006083676,
      2.961105156705663,
      2.8636118177007415,
      2.7713725112198615,
      2.6844556536462294,
      2.602880468801094,
      2.5266107311032946,
      2.455568831854594,
      2.3896402712302955,
      2.3286807041019135,
      2.272510418631292,
      2.2208865190376303,
      2.1735002657211946,
      2.129948852610336,
      2.0898088305469256,
      2.052652858457951,
      2.018066927633954,
      1.9856415711721456,
      1.955015231236673,
      1.925905845684125,
      1.8980994921864456,
      1.8714284991961616,
      1.8457541750377338,
      1.8209575516747964,
      1.7969469783817813,
      1.7736585889158096,
      1.751039774361887,
      1.7290446682718446,
      1.7076336797114842,
      1.6867730648599986,
      1.6664340619910616,
      1.6465908380862089,
      1.627220396349246,
      1.6083026520167587,
      1.5898189418533561,
      1.5717516662031674,
      1.5540849752432186,
      1.536804524407743,
      1.519896430488717,
      1.503347259438731,
      1.487144048453139,
      1.4712743184737813,
      1.455726075317319,
      1.4404877998100205,
      1.4255484510520016,
      1.4108975472611807,
      1.3965254312410609,
      1.3824229209146717,
      1.3685811338497476,
      1.3549914961705105,
      1.3416457511888045,
      1.3285359567860064,
      1.3156544790785754,
      1.3029939860241968,
      1.290547438360871,
      1.2783080795343076,
      1.266269425802434,
      1.2544252556124353,
      1.2427695986599705,
      1.2312967240152803,
      1.2200011477500994,
      1.2088777531197779,
      1.1979216694031365,
      1.1871282247245176,
      1.1764929623734848,
      1.1660115516446898,
      1.1556797911461565,
      1.1454936097022426,
      1.135449066638749,
      1.1255423503830204,
      1.1157697757325677,
      1.1061277816663275,
      1.0966129276548924,
      1.0872218904399649,
      1.0779514603016527,
      1.0687985369476338,
      1.0597601257150524,
      1.050833334063166,
      1.042015367212767,
      1.0333035247367446,
      1.0246951966491196,
      1.0161878602348504,
      1.0077790761138157,
      0.999466574299726,
      0.9912484153166621,
      0.9831227175395435,
      0.9750875978137726,
      0.9671412462972021,
      0.9592822776099041,
      0.9515094535200506,
      0.9438214384709409,
      0.9362168312323814,
      0.9286944544258725,
      0.9212537927272855,
      0.91389424421022,
      0.9066149947036873,
      0.8994150772449352,
      0.8922934176444567,
      0.8852488686016196,
      0.8782802355524587,
      0.8713862962943141,
      0.8645658156582294,
      0.8578175565910514,
      0.8511402880857108,
      0.8445327911554591,
      0.8379938632285903,
      0.8315223211338939,
      0.8251170030971828,
      0.8187767705243,
      0.8125005084103105,
      0.8062871260112195,
      0.800135556920196,
      0.7940447592672252,
      0.7880137151322598,
      0.7820414304479626,
      0.7761268976058705,
      0.7702687433089236,
      0.7644654511444936,
      0.7587156712337202,
      0.7530181863054123,
      0.7473719589034679,
      0.741776360636759,
      0.7362308594983317,
      0.7307349670507,
      0.7252888018370295,
      0.7198928722693541,
      0.7145479240628485,
      0.7092543953915236,
      0.704012396470081,
      0.6988218039149896,
      0.6936823292340889,
      0.6885935681990167,
      0.6835550368111623,
      0.6785661970673281,
      0.6736264757546797,
      0.6687352776020895,
      0.6638919948884702,
      0.6590960146320046,
      0.6543467231792541,
      0.6496435099144273,
      0.6449857694404567,
      0.6403729034101808,
      0.6358043216084527,
      0.6312794428498043,
      0.6267976950599476,
      0.6223585159687876,
      0.6179613529928478,
      0.6136058220716365,
      0.6092917693842287,
      0.6050189745304869,
      0.600787134298249,
      0.5965958878424988,
      0.5924448353331799,
      0.5883335514521559,
      0.5842615949023173,
      0.5802285151293196,
      0.5762338572197149,
      0.5722771654753082,
      0.5683579857271152,
      0.5644758670075292,
      0.5606303630709325,
      0.5568210328527103,
      0.553047692717615,
      0.5493103396490419,
      0.5456088527202515,
      0.5419430216998357,
      0.5383125750304052,
      0.5347171996150436,
      0.5311565548934878,
      0.5276302827551811,
      0.5241380143905933,
      0.5206793751987918,
      0.5172539883267951,
      0.5138614770315614,
      0.5105014664331782,
      0.5071735845382891,
      0.5038774631481657,
      0.5006127385286356,
      0.4973790512590746,
      0.49417604673647775,
      0.49100337547167405,
      0.487860860720102,
      0.4847486361252802,
      0.4816667522040044,
      0.4786151400254776,
      0.4755936478338673,
      0.4726020670926938,
      0.46964015071079024,
      0.46670762580188363,
      0.4638042030060345,
      0.46092958243050697,
      0.4580834583683079,
      0.45526552230158385,
      0.4524754650407732,
      0.4497129783374249,
      0.4469777558756049,
      0.44426949392498255,
      0.44158789168423046,
      0.43893265177374424,
      0.43630348057510654,
      0.4337000881384049,
      0.4311221881922722,
      0.42856949828203633,
      0.4260417396808223,
      0.42353863740450953,
      0.4210599201782536,
      0.41860532032884123,
      0.41617457393444807,
      0.4137674206467002,
      0.4113836034647863,
      0.4090228688938958,
      0.40668496695417333,
      0.40436965086254517,
      0.40207667715011663,
      0.3998058054772884,
      0.3975567986808864,
      0.3953294227998189,
      0.3931234468493562,
      0.390938642878774,
      0.3887747858798284,
      0.3866316538514724,
      0.38450902758871086,
      0.3824066906017899,
      0.38032442908941916,
      0.37826203211928555,
      0.3762192913798745,
      0.37419600113953677,
      0.37219195825964974,
      0.37020696218614213,
      0.36824081491949273,
      0.3662933207850855,
      0.36436428653732367,
      0.3624535213404393,
      0.36056083670198663,
      0.35868604638490814,
      0.35682903629918233,
      0.3549897815948517,
      0.3531682237255796,
      0.35136426709651547,
      0.34957779072070355,
      0.34780865616539425,
      0.3460567134212228,
      0.34432180494383696,
      0.3426037684175841,
      0.34090243881096366,
      0.33921764975672486,
      0.3375492345165653,
      0.335897026737291,
      0.33426086091214163,
      0.33264057265127295,
      0.3310359989402974,
      0.32944697819690094,
      0.32787335054587646,
      0.3263149577669966,
      0.3247716433600031,
      0.32324325253708025,
      0.3217296321932434,
      0.3202306309691685,
      0.31874608048600533,
      0.3172757255335012,
      0.31581930765106947,
      0.314376605013313,
      0.3129474222604712,
      0.3115315855905073,
      0.3101289415191002,
      0.3087393459268078,
      0.3073626602783307,
      0.3059987504669496,
      0.30464748605520414,
      0.3033087393872356,
      0.30198238516761794,
      0.3006683002633887,
      0.29936636348683116,
      0.29807645538393857,
      0.2967984581293653,
      0.2955322553749812,
      0.29427773200044177,
      0.29303477442673487,
      0.2918032703611475,
      0.2905831087240748,
      0.2893741926276962,
      0.28817644319127556,
      0.286989776331593,
      0.28581410172440097,
      0.28464932496938594,
      0.2834953491661345,
      0.2823520757671121,
      0.2812194054361091,
      0.28009723869891934,
      0.2789854761596934,
      0.2778840187294348,
      0.27679276791794954,
      0.2757116259744746,
      0.27464049586440553,
      0.27357928138782933,
      0.27252788735102085,
      0.271486219384492,
      0.2704541840685289,
      0.26943168885782504,
      0.2684186422121397,
      0.2674149534750448,
      0.2664205329209768,
      0.2654352917792357,
      0.2644591421971506,
      0.2634919971678806,
      0.2625337706512518,
      0.2615843773413875,
      0.26064373295796356,
      0.2597117540315087,
      0.2587883580222098,
      0.25787346060542166,
      0.25696696069735947,
      0.2560687542825359,
      0.25517874564499216,
      0.25429684507013905,
      0.25342296740897535,
      0.25255703096428006,
      0.251698956720246,
      0.250848667822895,
      0.25000608906848143,
      0.24917114674114454,
      0.24834376831533342,
      0.24752388231515104,
      0.24671141818998266,
      0.24590630633279545,
      0.2451084779617298,
      0.2443178650552872,
      0.24353440036616603,
      0.24275801733602473,
      0.2419886499993555,
      0.24122623316940103,
      0.2404707023083939,
      0.23972199350155785,
      0.2389800434968978,
      0.23824478959421205,
      0.23751616979059395,
      0.23679412264785457,
      0.23607858735300505,
      0.2353695037170137,
      0.23466681213718807,
      0.23397045352364118,
      0.23328036941801095,
      0.23259650194895992,
      0.2319187937893831,
      0.23124718815385298,
      0.23058162879763452,
      0.22992206001741508,
      0.22926842670492573,
      0.22862067421149698,
      0.22797874849414582,
      0.2273425959709014,
      0.2267121636448999,
      0.22608739888700888,
      0.22546824969023332,
      0.22485466449371838,
      0.2242465922625985,
      0.22364398246796566,
      0.22304678510664477,
      0.22245495071003488,
      0.22186843018935437,
      0.22128717488564767,
      0.220711136723207,
      0.2201402679830277,
      0.21957452148478737,
      0.21901385037613605,
      0.21845820824117665,
      0.21790754921053412,
      0.21736182778045593,
      0.21682099897689863,
      0.21628501807603043,
      0.21575384083444307,
      0.2152274234411339,
      0.2147057225091766,
      0.21418869509427194,
      0.21367629865121515,
      0.21316849097903676,
      0.2126652303581088,
      0.21216647539636413,
      0.21167218508028637,
      0.21118231882690644,
      0.21069683643581197,
      0.2102156981187803,
      0.2097388643525863,
      0.20926629608918065,
      0.20879795447110644,
      0.20833380114570146,
      0.20787379889855,
      0.20741792437599052,
      0.20696616058519188,
      0.2065184846719855,
      0.20607486961987984,
      0.20563528562635874,
      0.20519970085802602,
      0.2047680822231882,
      0.20434039594878584,
      0.20391660769665462,
      0.2034966829193031,
      0.20308058692196784,
      0.2026682851151391,
      0.2022597429362781,
      0.20185492610272554,
      0.20145380040733227,
      0.20105633199780246,
      0.2006624873392088,
      0.20027223306318803,
      0.19988553616132806,
      0.19950236381066172,
      0.19912268359437682,
      0.19874646339303031,
      0.19837367137886747,
      0.1980042759346559,
      0.19763824580233216,
      0.19727555005480713,
      0.19691615792910072,
      0.19656003902885727,
      0.19620716321025827,
      0.1958575006851487,
      0.19551102190900643,
      0.19516769762268285,
      0.1948274987932209,
      0.19449039670822094,
      0.19415636291870245,
      0.19382536923384874,
      0.19349738778028214,
      0.1931723908461264,
      0.1928503509802752,
      0.19253124106690944,
      0.1922150341980105,
      0.1919017037371156,
      0.19159122330803943,
      0.1912835667589702,
      0.19097870820360152,
      0.19067662199988547,
      0.1903772827421709,
      0.19008066516524597,
      0.1897867442906213
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182669051518783,
      10.992395345875568,
      10.791620294926881,
      10.582314164572113,
      10.36646051756963,
      10.146029065450763,
      9.922780604796344,
      9.698291787739294,
      9.474016069889986,
      9.251294714821224,
      9.031322167018272,
      8.815122529476582,
      8.603526967308301,
      8.397160995977433,
      8.196443329369666,
      8.001595234424911,
      7.812658301121854,
      7.629518057100126,
      7.4519295867018105,
      7.2795430349780474,
      7.111937257156547,
      6.94864595520135,
      6.789176600252763,
      6.6330288818472765,
      6.479711197499782,
      6.328754382665316,
      6.179724152328855,
      6.032230516187962,
      5.885925368797159,
      5.740512492716097,
      5.595750978771597,
      5.45145400023925,
      5.307504950274658,
      5.163852378293499,
      5.020510299529585,
      4.877554531472307,
      4.7351019911701915,
      4.593326931335813,
      4.452463709948338,
      4.3127995853222325,
      4.174666021577611,
      4.0384287222583515,
      3.9044767158325375,
      3.7732073428442505,
      3.6450150790047524,
      3.520287800922075,
      3.399395276759353,
      3.282678930272577,
      3.1704442916775113,
      3.062955216193811,
      2.9604299531527825,
      2.86303902946236,
      2.7709023428720982,
      2.6840870326799577,
      2.602611072436568,
      2.5264367449450886,
      2.4554857642622863,
      2.389642535613312,
      2.3287620460869527,
      2.272662608118623,
      2.221099493042099,
      2.1737606978878152,
      2.130242373310345,
      2.0901215883938207,
      2.0529719522802705,
      2.0183806795007517,
      1.9859395562982982,
      1.9552894963044145,
      1.92615067480361,
      1.8983107804919366,
      1.8716033669178431,
      1.8458906835271196,
      1.8210545258076491,
      1.7970033412180495,
      1.7736733101854714,
      1.751012421146126,
      1.728975210331838,
      1.707522348454645,
      1.6866200574881791,
      1.6662396630482308,
      1.6463554933016582,
      1.6269444233594985,
      1.6079863223501665,
      1.5894626656837163,
      1.5713559546223037,
      1.55365005327305,
      1.5363305775094986,
      1.5193837707743243,
      1.5027962926736667,
      1.4865552492341918,
      1.470648209977643,
      1.4550632161634574,
      1.4397887801710787,
      1.4248138809689779,
      1.4101280407660453,
      1.3957215899348856,
      1.3815853236970608,
      1.3677103442265865,
      1.3540880673459925,
      1.3407102238482278,
      1.327568857086149,
      1.3146563183096331,
      1.3019652593390731,
      1.2894886245457609,
      1.2772196411500156,
      1.2651518092306522,
      1.2532788900322274,
      1.2415948957770806,
      1.2300940801134772,
      1.2187709470425372,
      1.2076203701105779,
      1.1966373593070105,
      1.1858172058417866,
      1.1751554689121497,
      1.164647828388043,
      1.1542900895200259,
      1.1440781846753818,
      1.1340081739412182,
      1.1240762443417365,
      1.1142787080740115,
      1.1046120004179172,
      1.0950726764455732,
      1.0856574076372931,
      1.0763629784899105,
      1.0671862831508196,
      1.0581243212439748,
      1.0491741938312906,
      1.040333099992752,
      1.0315983334405632,
      1.0229672784779635,
      1.0144374064932935,
      1.0060062914215209,
      0.9976718194984295,
      0.9894320679560115,
      0.9812851077143181,
      0.9732290556368445,
      0.9652624358507501,
      0.9573839708287579,
      0.9495922823099795,
      0.9418859243028368,
      0.9342636890543918,
      0.9267250093033658,
      0.9192692326861807,
      0.9118954961905007,
      0.9046027856046186,
      0.8973899807174356,
      0.890255889623226,
      0.8831992750070988,
      0.8762188731851123,
      0.8693134088984789,
      0.8624816062572065,
      0.8557221969336661,
      0.8490339256317498,
      0.8424155547851059,
      0.8358658673324154,
      0.8293836691095833,
      0.8229677897018692,
      0.8166170835957794,
      0.8103304305719912,
      0.804106735601343,
      0.7979449289617264,
      0.7918439661242099,
      0.7858028269049899,
      0.7798205154135053,
      0.7738958825108383,
      0.7680274011995991,
      0.7622136216009516,
      0.7564532449090526,
      0.7507451413419417,
      0.7450885885768198,
      0.7394830259347375,
      0.7339279248921824,
      0.7284233625815091,
      0.7229698165606065,
      0.7175680241579767,
      0.7122184250279987,
      0.7069211259307987,
      0.701675996886673,
      0.6964827403298686,
      0.6913409415956644,
      0.6862501051805359,
      0.6812096811796615,
      0.6762190837323523,
      0.671277704939303,
      0.6663849247768632,
      0.6615401177005713,
      0.6567426577395338,
      0.6519919222772197,
      0.647287293972303,
      0.6426281627092886,
      0.6380139268750809,
      0.6334439940176841,
      0.6289177813493375,
      0.6244347158426479,
      0.6199942345837227,
      0.6155958948505926,
      0.6112395294649884,
      0.606924928534553,
      0.602651793637191,
      0.5984197649872688,
      0.5942284412685788,
      0.5900773934434684,
      0.5859661751503304,
      0.5818943299273664,
      0.5778613963034547,
      0.5738669115874481,
      0.5699104146490764,
      0.5659914474213633,
      0.5621095562241532,
      0.558264294110063,
      0.5544554928648381,
      0.5506831472696316,
      0.5469471247389176,
      0.5432472046448756,
      0.5395831062864462,
      0.5359545082116464,
      0.5323610618566119,
      0.5288024015819756,
      0.5252781515722574,
      0.5217879305627621,
      0.5183313553012743,
      0.5149080426797452,
      0.5115176118162034,
      0.508159684771139,
      0.5048338874541146,
      0.5015398504184512,
      0.49827720883513515,
      0.49504560279145,
      0.4918446775343292,
      0.4886743039909984,
      0.4855346219191381,
      0.4824256627004457,
      0.4793473421914712,
      0.4762994965445328,
      0.47328190733363956,
      0.47029431897083945,
      0.4673364513984386,
      0.4644080086092819,
      0.4615086848057159,
      0.4586381688547756,
      0.455796147157058,
      0.4529823056515987,
      0.4501963314734639,
      0.44743791386281806,
      0.44470674471064303,
      0.4420025190745141,
      0.43932493553900764,
      0.4366736964226205,
      0.434048507755978,
      0.43144907943880073,
      0.4288751252453285,
      0.42632636280669334,
      0.42380251354406917,
      0.4213033026552685,
      0.41882845920572576,
      0.41637771576430904,
      0.4139508084488597,
      0.4115474770759991,
      0.4091674648309056,
      0.40681051844887517,
      0.40447638804406544,
      0.40216482701751705,
      0.39987559209617873,
      0.39760844324752054,
      0.3953631434963377,
      0.39313945899877933,
      0.3909371590182854,
      0.3887560158035031,
      0.3865958044949388,
      0.3844563029841553,
      0.3823372922593815,
      0.380238556043242,
      0.3781598807646765,
      0.3761010555086176,
      0.3740618721221643,
      0.3720421250444701,
      0.3700416112679056,
      0.36806013025140927,
      0.36609748404114584,
      0.36415347711537244,
      0.36222791641075297,
      0.3603206112001082,
      0.3584313730246011,
      0.35656005543127783,
      0.35470662878406367,
      0.35287104430118493,
      0.3510532126331681,
      0.3492530165366726,
      0.34747031962587166,
      0.345704972658415,
      0.34395681804034656,
      0.3422256927952968,
      0.34051143084862134,
      0.3388138645587326,
      0.33713282580612264,
      0.3354681466702018,
      0.33381965992507456,
      0.33218719939454255,
      0.33057060034572305,
      0.32896969945218835,
      0.3273843350643798,
      0.3258143472158274,
      0.3242595776582001,
      0.3227198699251214,
      0.32119506915775653,
      0.31968502234085344,
      0.31818950891942854,
      0.3167082526743998,
      0.31524101349324535,
      0.31378758212806424,
      0.3123477716025416,
      0.31092141154870623,
      0.30950834431975827,
      0.3081084269996344,
      0.30672152570630845,
      0.30534750916253256,
      0.3039862485080822,
      0.30263761692779706,
      0.30130148937448514,
      0.29997774255083226,
      0.29866625475618785,
      0.2973669057757186,
      0.2960795768623574,
      0.294804150544538,
      0.2935405107170763,
      0.2922885425570555,
      0.2910481325705918,
      0.2898191701051139,
      0.28860156571345524,
      0.2873952393985584,
      0.2862001031412148,
      0.28501606356015796,
      0.28384302383736965,
      0.28268088484037335,
      0.28152954619638965,
      0.28038890686453816,
      0.2792588658697587,
      0.2781393224887684,
      0.2770301763084532,
      0.27593132772976353,
      0.2748426777865639,
      0.273764128296413,
      0.27269558203871247,
      0.2716369427193307,
      0.27058811501377017,
      0.2695490044479898,
      0.2685195174847418,
      0.2674995615999845,
      0.26648904515823135,
      0.2654878774054585,
      0.2644959686167304,
      0.2635132300942625,
      0.2625395739268489,
      0.26157491314592607,
      0.26061916170613264,
      0.2596722344052597,
      0.25873404681895,
      0.25780451430973034,
      0.25688353611297693,
      0.2559710051699423,
      0.25506682300044126,
      0.25417089761107065,
      0.2532831417081452,
      0.25240347165293986,
      0.25153180660823027,
      0.25066806794928226,
      0.24981217889887128,
      0.24896406404137594,
      0.24812364932509226,
      0.24729086182738091,
      0.24646562959989887,
      0.2456478816061092,
      0.2448375475597709,
      0.24403455808407365,
      0.24323884449198407,
      0.2424503389122448,
      0.24166897413817154,
      0.24089468360571017,
      0.24012740141154598,
      0.23936706237174094,
      0.23861360191717332,
      0.2378669560925088,
      0.23712706162092997,
      0.23639385589475376,
      0.23566727686628938,
      0.23494726309324301,
      0.23423375379861908,
      0.23352668876767224,
      0.23282600838633705,
      0.23213165358006888,
      0.23144356584330647,
      0.2307616873217518,
      0.23008596065485987,
      0.22941632898576425,
      0.22875273612499636,
      0.2280951264241701,
      0.2274434446768135,
      0.22679763628768126,
      0.22615764713880354,
      0.22552342366071965,
      0.2248949128292244,
      0.22427206203658837,
      0.22365481926960398,
      0.22304313307328438,
      0.22243695258001658,
      0.22183622737546985,
      0.22124090739140928,
      0.22065094304127705,
      0.22006628521761626,
      0.219486885265331,
      0.2189126950839513,
      0.21834366699004623,
      0.21777975368276808,
      0.21722090831263233,
      0.21666708450059555,
      0.21611823633350527,
      0.21557431831034338,
      0.2150352853659981,
      0.2145010928457234,
      0.2139716965574128,
      0.21344705267272215,
      0.21292711780753337,
      0.21241184904041682,
      0.21190120385639868,
      0.21139514007908644,
      0.21089361588072258,
      0.21039658986961862,
      0.20990402103889824,
      0.2094158688696056,
      0.20893209311736613,
      0.2084526539306734,
      0.207977520771583,
      0.20750667578020413,
      0.20704009692945566,
      0.20657775728637667,
      0.20611962663105196,
      0.20566567233758373,
      0.20521586029694414,
      0.20477015541399832,
      0.2043285219479993,
      0.2038909237997879,
      0.20345732486101528,
      0.20302768900702137,
      0.20260198010227715,
      0.20218016215844828,
      0.20176219948004415,
      0.20134805670947756,
      0.2009376986441672,
      0.2005310904358136,
      0.20012819742233676,
      0.1997289853288942,
      0.19933342016524103,
      0.19894146832771065,
      0.19855309637159352,
      0.1981682712167672,
      0.19778696020192393,
      0.1974091308732352,
      0.19703475110442012,
      0.1966637890270869,
      0.196296213153044,
      0.19593199228163882,
      0.19557109547166,
      0.19521349205242858,
      0.1948591516739269,
      0.19450804432010993,
      0.19416014014504177,
      0.1938154096406655,
      0.193473823551224,
      0.1931353529286541,
      0.19279996903632474,
      0.19246764345702527,
      0.1921383481132672,
      0.1918120551360735,
      0.1914887369125389,
      0.19116836608363033,
      0.19085091546633226,
      0.19053635823109796,
      0.19022466778788602,
      0.1899158178129863,
      0.18960978211143384,
      0.18930653488718807,
      0.18900605053100272,
      0.18870830357461216,
      0.18841326896349087,
      0.1881209218092822
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182659281316147,
      10.992349394426597,
      10.791518652461809,
      10.582142297249538,
      10.366208772226354,
      10.145692364173078,
      9.922358622300173,
      9.697787670779743,
      9.473435057858602,
      9.250643489341089,
      9.030607780354593,
      8.814351922005448,
      8.602706657823328,
      8.39629682809947,
      8.195540291169737,
      8.000657353586035,
      7.811688612995547,
      7.6285186336602475,
      7.450901146150186,
      7.278485341033054,
      7.110849300956126,
      6.947526338968181,
      6.788023702431829,
      6.631840998364145,
      6.4784866805120584,
      6.32749177361408,
      6.178422621981013,
      6.030890156671318,
      5.884546985760447,
      5.739097409070186,
      5.594301303223388,
      5.449972654500968,
      5.305995535369317,
      5.162318971922283,
      5.018957800700657,
      4.875988822240292,
      4.7335300576595465,
      4.59175643601794,
      4.450902896218271,
      4.311257149989194,
      4.173150960184557,
      4.036950153573363,
      3.903043692686106,
      3.7718292217361684,
      3.6437010986886786,
      3.519046676815195,
      3.398234860132229,
      3.2816060806322125,
      3.1694647814633323,
      3.0620736707725174,
      2.959649823820281,
      2.862362597903577,
      2.770330068511218,
      2.6836180241651624,
      2.602243162101659,
      2.526166247804168,
      2.45530802215876,
      2.3895518093129344,
      2.328752191976832,
      2.2727253201866184,
      2.221224783107818,
      2.173935084146085,
      2.1304515243028366,
      2.090351621089244,
      2.0532099748260975,
      2.0186149875056736,
      1.9861596708903777,
      1.9554874161761688,
      1.9263206411031728,
      1.8984486493051893,
      1.8717062176194184,
      1.8459565284649038,
      1.8210821338992618,
      1.7969915942560901,
      1.7736211456547633,
      1.7509193677884203,
      1.7288411981205745,
      1.7073475701500258,
      1.6864046928456828,
      1.6659839571309571,
      1.6460598538051243,
      1.6266092260542178,
      1.607611784371695,
      1.589049147873969,
      1.570903923227478,
      1.5531598054820368,
      1.5358022406257084,
      1.5188176043833628,
      1.5021926560868126,
      1.4859145750080927,
      1.4699709828062537,
      1.4543499563299693,
      1.4390400317596905,
      1.4240302028463683,
      1.4093099983400936,
      1.3948697514454251,
      1.3807002517205818,
      1.3667925924537763,
      1.3531381776353397,
      1.3397287243576221,
      1.32655626116617,
      1.3136131234357225,
      1.3008919466828859,
      1.2883856588707243,
      1.276087470005279,
      1.2639908622478377,
      1.2520895805547103,
      1.2403776221196368,
      1.2288492260911659,
      1.2174988851704958,
      1.2063214242410454,
      1.195311746356959,
      1.1844651487479836,
      1.1737772034748286,
      1.1632435988569885,
      1.1528601448127513,
      1.1426227757294745,
      1.1325275514315516,
      1.1225706570117788,
      1.1127484017778293,
      1.1030572166476704,
      1.0934936518664684,
      1.0840543735581398,
      1.074736160774823,
      1.0655359016029489,
      1.056450589679286,
      1.0474773201783643,
      1.0386132863667985,
      1.0298557758329066,
      1.0212021671272908,
      1.0126499258693475,
      1.0041967348333343,
      0.9958405809292805,
      0.9875794900925879,
      0.979411507120099,
      0.9713350664201545,
      0.9633488498819444,
      0.9554514351377856,
      0.9476413299303929,
      0.939917288490983,
      0.9322786780180484,
      0.924724820676255,
      0.9172548001265687,
      0.9098675513027293,
      0.9025619050463547,
      0.8953366224531338,
      0.8881904209402259,
      0.8811219933685205,
      0.8741300225568756,
      0.8672131923473363,
      0.8603701952027987,
      0.8535997382949314,
      0.846900547697182,
      0.8402713713107326,
      0.8337109808941033,
      0.8272181734628784,
      0.8207917718663486,
      0.8144306252113952,
      0.8081336089880168,
      0.8018996250055765,
      0.7957276008401785,
      0.7896164895615451,
      0.7835652694892039,
      0.7775729260290124,
      0.7716380873901036,
      0.7657591930806803,
      0.7599348548513462,
      0.7541638438788099,
      0.748445338068922,
      0.7427787443174729,
      0.737163490204659,
      0.7315996073742257,
      0.726087539780138,
      0.7206280148102482,
      0.7152214732387492,
      0.7098680180874927,
      0.7045675121677972,
      0.6993196485102524,
      0.6941240015600368,
      0.6889800640389213,
      0.6838872734703066,
      0.6788450314971846,
      0.6738527172705442,
      0.6689096976961013,
      0.6640153345713482,
      0.6591689893731238,
      0.6543700268058201,
      0.6496178173522779,
      0.6449117391160085,
      0.6402511787596593,
      0.6356355325617492,
      0.6310642064520953,
      0.6265366165294501,
      0.6220521891987787,
      0.6176104326989751,
      0.6132111498014957,
      0.6088541428597496,
      0.604539119577848,
      0.600265721993701,
      0.596033547399513,
      0.5918421634050793,
      0.5876911188958044,
      0.5835799515311532,
      0.5795081934365981,
      0.5754753751076405,
      0.571481028125014,
      0.5675246870466867,
      0.5636058908909837,
      0.5597241955840969,
      0.5558794429575639,
      0.5520716165401636,
      0.5483005734529983,
      0.5445660840036773,
      0.5408678587346235,
      0.5372055680209268,
      0.5335788559353363,
      0.529987349443957,
      0.5264306656597928,
      0.5229084166951748,
      0.5194202127155559,
      0.5159656642986606,
      0.5125443843116023,
      0.509155988905527,
      0.505800098370122,
      0.5024763373422348,
      0.499184335489627,
      0.4959237273499786,
      0.4926941527754691,
      0.48949552833319115,
      0.4863279995428381,
      0.4831915792396368,
      0.48008616868348125,
      0.4770115922245466,
      0.4739676217159232,
      0.47095399312112723,
      0.4679704189869615,
      0.46501659687459845,
      0.462092215152449,
      0.45919695713784203,
      0.45633050403437536,
      0.45349253698108694,
      0.45068273842415774,
      0.447900793020123,
      0.4451463882522742,
      0.44241921504255544,
      0.4397189677252624,
      0.43704534465547457,
      0.43439804782603153,
      0.4317767832225394,
      0.42918126072168683,
      0.4266111942967828,
      0.42406630174244236,
      0.4215463045794859,
      0.4190509282930597,
      0.416579901962742,
      0.4141329583791635,
      0.411709833959343,
      0.4093102686910992,
      0.4069340060547352,
      0.404580792998952,
      0.4022503797673963,
      0.3999425200333953,
      0.3976569706569208,
      0.39539349167347887,
      0.393151846337204,
      0.39093180093870755,
      0.3887331248298391,
      0.38655559040099285,
      0.38439897296018494,
      0.3822630507432503,
      0.38014760474939274,
      0.378052418783606,
      0.37597727940105935,
      0.37392197593146,
      0.37188630032925796,
      0.36987004705290455,
      0.3678730132780861,
      0.36589499865716646,
      0.36393580523487573,
      0.36199523762191005,
      0.360073102790711,
      0.3581692101297724,
      0.3562833932195094,
      0.3544156012980247,
      0.3525657964420742,
      0.35073389630445606,
      0.34891978791363004,
      0.3471233372320971,
      0.34534439614026824,
      0.343582807253248,
      0.34183840714743563,
      0.34011102877264776,
      0.33840050318542714,
      0.336706660711893,
      0.3350293319134875,
      0.3333683479008945,
      0.3317235407994087,
      0.3300947441509768,
      0.3284817928853215,
      0.3268845234458769,
      0.32530277410872865,
      0.3237363849363853,
      0.3221851975949869,
      0.3206490556965833,
      0.3191277796245555,
      0.3176210985101784,
      0.316128750433291,
      0.3146505098921807,
      0.3131861776523792,
      0.3117355735529508,
      0.3102985315693168,
      0.3088748961852457,
      0.3074645197938924,
      0.306067264119913,
      0.30468300069632204,
      0.3033116032578339,
      0.301952946299229,
      0.30060690549090513,
      0.29927335757546425,
      0.2979521804826685,
      0.29664325338342845,
      0.29534645656857467,
      0.29406167173741743,
      0.29278878186966506,
      0.29152767107551675,
      0.2902782246262537,
      0.28904033538373575,
      0.2878139200979921,
      0.28659889433785657,
      0.2853951666080841,
      0.2842026405890727,
      0.28302121706427097,
      0.28185079498332055,
      0.2806912721860692,
      0.2795425461595765,
      0.27840451446176856,
      0.2772770750293931,
      0.27616012618132735,
      0.27505356696544,
      0.27395729736697966,
      0.2728712180998649,
      0.27179523085752655,
      0.27072923829925166,
      0.2696731439117293,
      0.26862685226745037,
      0.2675902688405975,
      0.266563300118272,
      0.2655458534726464,
      0.26453783731572,
      0.2635391609006318,
      0.2625497344690538,
      0.26156946927391417,
      0.2605982774145827,
      0.2596360718651591,
      0.25868276650532934,
      0.257738276102924,
      0.25680250024752294,
      0.2558753289858345,
      0.2549566611460271,
      0.2540464021977043,
      0.2531444627489882,
      0.2522507571128416,
      0.2513652025612248,
      0.2504877187042372,
      0.24961822715755036,
      0.2487566508474481,
      0.2479029141603368,
      0.24705694267726022,
      0.24621866293770364,
      0.24538800234670796,
      0.2445648892244502,
      0.24374925269339365,
      0.242941022695451,
      0.24214012990973885,
      0.2413465056981708,
      0.240560082180512,
      0.23978079223544715,
      0.23900856928776062,
      0.2382433474534938,
      0.23748506153462076,
      0.23673364693942167,
      0.2359890398086026,
      0.2352511769654719,
      0.23451999562661635,
      0.23379543371189138,
      0.23307742986380148,
      0.23236592317681565,
      0.2316608533987508,
      0.2309621609053722,
      0.2302697866769112,
      0.22958367223846213,
      0.22890375965316512,
      0.22822999154231657,
      0.22756231108196892,
      0.22690066203962875,
      0.2262449887491475,
      0.22559523608757365,
      0.22495134932657,
      0.22431327437943163,
      0.22368095770678723,
      0.22305434642772656,
      0.22243338814046235,
      0.22181803094837282,
      0.22120822330931067,
      0.22060391416613326,
      0.22000505300251946,
      0.2194115898368456,
      0.21882347507810493,
      0.21824065959938674,
      0.21766309481268215,
      0.2170907324278107,
      0.2165235247592626,
      0.21596142446227712,
      0.21540438475409884,
      0.21485235928049015,
      0.21430530208574458,
      0.21376316768561035,
      0.21322591102750213,
      0.2126934874394153,
      0.21216585272010116,
      0.2116429630653764,
      0.21112477502138885,
      0.21061124562984565,
      0.21010233246048265,
      0.20959799335276322,
      0.20909818648920242,
      0.20860287322936102,
      0.20811203077900575,
      0.20762563911893697,
      0.20714367217012233,
      0.20666609976050923,
      0.20619288892665852,
      0.2057240046954345,
      0.2052594108328705,
      0.2047990703079622,
      0.20434294558797042,
      0.2038909989953726,
      0.20344319274594314,
      0.2029994890756307,
      0.20255985045615196,
      0.2021242395699491,
      0.201692619234704,
      0.20126495268474728,
      0.20084120339574799,
      0.2004213351392812,
      0.20000531197496849,
      0.19959309831979072,
      0.19918465891701057,
      0.19877995879333998,
      0.19837896339560984,
      0.1979816384358813,
      0.1975879499414492,
      0.1971978642165748,
      0.19681134790730356,
      0.1964283679780818,
      0.1960488918045046,
      0.1956728869616936,
      0.1953003213573487,
      0.1949311631875397,
      0.1945653810464644,
      0.19420294369385818,
      0.1938438202559632,
      0.19348798008391194,
      0.19313539282930756,
      0.19278602855925348,
      0.19243985745286024,
      0.1920968500962334,
      0.19175697725714236,
      0.1914202099532087,
      0.19108651959706988,
      0.1907558778887218,
      0.1904282566707476,
      0.19010362810196355,
      0.1897819646034365,
      0.18946323885610786,
      0.18914742381232333,
      0.18883449258091,
      0.1885244186310324,
      0.18821717566644153,
      0.1879127376280267,
      0.1876110787226282,
      0.18731217332536168,
      0.1870159961372269,
      0.18672252212763912,
      0.18643172636342983
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.992319405588143,
      10.791441790502702,
      10.582002671110093,
      10.365995305295153,
      10.14539865289664,
      9.921983201762167,
      9.69733267592144,
      9.472904764288327,
      9.250043698096231,
      9.029944777646278,
      8.81363197428737,
      8.601935706221177,
      8.395480235781006,
      8.194682658984647,
      7.9997624102318,
      7.810759172123868,
      7.627556614882402,
      7.4499071783678135,
      7.277459173718595,
      7.109789942092483,
      6.946432403415702,
      6.786893596633507,
      6.630673056167941,
      6.477279295317434,
      6.326243526447548,
      6.177132723010494,
      6.029558726112775,
      5.883174845982707,
      5.737685893504822,
      5.592852522102808,
      5.448489524768679,
      5.30448165141262,
      5.1607784027176935,
      5.0173954387120085,
      4.874410537949969,
      4.7319428209047825,
      4.590167901538163,
      4.4493213105431035,
      4.309691226290838,
      4.171609725578944,
      4.035442774188639,
      3.901579284453117,
      3.7704172103301192,
      3.642350803302624,
      3.5177669086700742,
      3.397033579941964,
      3.2804902703377183,
      3.1684403468637705,
      3.061145378003541,
      2.958821270054095,
      2.8616362144797285,
      2.7697064754958487,
      2.683096493179972,
      2.601821689479059,
      2.525841316208877,
      2.4550751347850084,
      2.3894053823535457,
      2.3286862158319637,
      2.272731640224408,
      2.221293564005422,
      2.1740530074936197,
      2.1306044150000187,
      2.09052573931354,
      2.053392557325935,
      2.0187943974321643,
      1.9863254799230181,
      1.9556316972114534,
      1.9264376867517075,
      1.8985343500659568,
      1.8717576748269764,
      1.8459717619004974,
      1.8210599061826234,
      1.796930780499295,
      1.7735206771993746,
      1.750778760283003,
      1.7286603646800462,
      1.7071266847630562,
      1.6861440055761021,
      1.6656836720136932,
      1.6457203417735171,
      1.6262308628791335,
      1.6071947796723147,
      1.5885938241799096,
      1.5704107120216702,
      1.5526290530010862,
      1.5352340462483558,
      1.518212187433432,
      1.5015503395799674,
      1.485235758680307,
      1.4692561218107174,
      1.4535995443843444,
      1.438254587774668,
      1.4232102606223016,
      1.4084561028328333,
      1.3939824539142354,
      1.3797800987133773,
      1.3658401218922498,
      1.352153916239806,
      1.3387131859425578,
      1.3255099453380157,
      1.312536514275243,
      1.299785511757907,
      1.287249848620426,
      1.2749227187583005,
      1.262797589086873,
      1.2508681894612306,
      1.2391285024601586,
      1.2275727527773093,
      1.2161954219966185,
      1.2049912527768378,
      1.1939550691640315,
      1.1830821912589704,
      1.1723682021082136,
      1.1618087971486246,
      1.151399789668116,
      1.1411371150108132,
      1.1310168321109764,
      1.121035123783564,
      1.1111882955144974,
      1.1014727738657002,
      1.091885104129714,
      1.082421947120543,
      1.073080076052913,
      1.0638563732380772,
      1.0547478261695395,
      1.0457515241462254,
      1.0368646546469071,
      1.0280844994798548,
      1.0194084314436467,
      1.0108339506843211,
      1.0023588887790786,
      0.9939812275123453,
      0.9856989470243245,
      0.9775103893507912,
      0.9694141867012762,
      0.961408871765385,
      0.9534929048108157,
      0.9456650003313817,
      0.9379244321229769,
      0.9302705095206211,
      0.9227022835402091,
      0.9152186334145058,
      0.9078183373256546,
      0.9005001062879073,
      0.8932626094937128,
      0.8861044936749051,
      0.8790243975966107,
      0.8720209624863235,
      0.8650928399556805,
      0.8582386980511848,
      0.8514572250999097,
      0.8447471325371955,
      0.8381071570359542,
      0.8315360614927922,
      0.8250326359490577,
      0.8185956977948867,
      0.8122240917725618,
      0.8059166902442044,
      0.7996723922551644,
      0.7934901232287958,
      0.7873688343821298,
      0.7813075025790841,
      0.7753049854583919,
      0.7693597313327427,
      0.7634702495445868,
      0.7576352053309989,
      0.7518536667261836,
      0.7461249983337301,
      0.7404485782525188,
      0.7348243869973806,
      0.7292528336148506,
      0.7237346295490967,
      0.7182702163623592,
      0.7128596928757235,
      0.7075029143297691,
      0.7021995642191198,
      0.6969492057665768,
      0.6917513194132925,
      0.6866053297891557,
      0.6815106252941907,
      0.6764665717977263,
      0.671472523015749,
      0.6665278275471388,
      0.6616318338893913,
      0.6567838939332284,
      0.6519833658141277,
      0.6472296153425613,
      0.6425220172663947,
      0.6378599559125213,
      0.633242825924734,
      0.6286700321862393,
      0.6241409901495686,
      0.6196551697587174,
      0.615212324577897,
      0.6108122714279,
      0.6064547254708786,
      0.602139331477792,
      0.5978656862220874,
      0.5936333543938217,
      0.5894418802479151,
      0.5852907957605263,
      0.581179626669407,
      0.5771078964174813,
      0.5730751293369489,
      0.5690808526010738,
      0.5651245978169006,
      0.5612059229396791,
      0.557324678773155,
      0.5534808377136496,
      0.5496742469624695,
      0.5459046675517572,
      0.5421718016683993,
      0.5384753116643965,
      0.5348148337674498,
      0.5311899878342747,
      0.5276003839676898,
      0.5240456272159855,
      0.520525321159016,
      0.5170390701140088,
      0.5135864807576308,
      0.5101671630180955,
      0.5067807310296704,
      0.5034268037461967,
      0.5001050051150056,
      0.4968149641681253,
      0.49355631526206356,
      0.49032901791527844,
      0.487133223009936,
      0.48396892573002775,
      0.480836013406167,
      0.4777342988764073,
      0.4746635442119357,
      0.47162347725417353,
      0.46861380343691783,
      0.46563421379892955,
      0.4626843907672387,
      0.4597640121630038,
      0.45687275403018845,
      0.45401029249997715,
      0.4511763053091522,
      0.4483704724685811,
      0.445592477026443,
      0.44284200549674513,
      0.44011874810726215,
      0.43742239904682373,
      0.4347526563568114,
      0.43210922202648566,
      0.4294918021659699,
      0.4269001068249323,
      0.4243338499407612,
      0.4217927494665862,
      0.41927652729860854,
      0.4167849089521675,
      0.4143176237996404,
      0.4118744047773562,
      0.40945498855288015,
      0.407059115288832,
      0.40468652863858984,
      0.40233697571982086,
      0.4000102069893591,
      0.3977059762487417,
      0.3954240406276913,
      0.39316416029138496,
      0.39092609868488953,
      0.3887096222471712,
      0.3865145005100073,
      0.3843405059970008,
      0.38218741422826363,
      0.380055003448516,
      0.3779430548422911,
      0.3758513523201089,
      0.3737796826390522,
      0.37172783514575464,
      0.3696956018277802,
      0.36768277736920196,
      0.3656891590315334,
      0.3637145465642783,
      0.36175874216965037,
      0.3598215504967167,
      0.35790277863901965,
      0.3560022422142254,
      0.35411986608436485,
      0.35225562375645714,
      0.35040944010581726,
      0.3485812065068522,
      0.3467707914274458,
      0.3449780478571305,
      0.3432028185628075,
      0.3414449396236986,
      0.3397042431492944,
      0.3379805590116784,
      0.33627371610805795,
      0.3345835431323967,
      0.3329098695081149,
      0.3312525256963522,
      0.3296113433646969,
      0.3279861556333459,
      0.32637679736139874,
      0.32478310495273377,
      0.32320491661002965,
      0.32164207229953407,
      0.32009441370646996,
      0.31856170229511527,
      0.31704365233071696,
      0.3155400203011477,
      0.31405059336013225,
      0.31257518077664975,
      0.31111360800818366,
      0.30966571273948057,
      0.30823134158750937,
      0.3068103480714098,
      0.3054025910127724,
      0.30400793435253687,
      0.3026262512343331,
      0.3012574187697113,
      0.2999013140378762,
      0.29855781449759605,
      0.2972267981185319,
      0.2959081438179662,
      0.29460173133940265,
      0.2933074414381412,
      0.29202515609418206,
      0.29075475844809767,
      0.28949613279080344,
      0.2882491795766562,
      0.2870138164463661,
      0.2857899548936617,
      0.28457750019328615,
      0.28337635339973877,
      0.28218641298593145,
      0.2810075759236018,
      0.27983973841344456,
      0.2786827964073124,
      0.27753664596306854,
      0.2764011836877189,
      0.2752763066595723,
      0.2741619127964675,
      0.27305790084426756,
      0.27196417043100296,
      0.2708806221232646,
      0.26980715743421335,
      0.2687436788974759,
      0.26769008999165544,
      0.2666462951304944,
      0.26561219975793915,
      0.26458771034384054,
      0.2635727343320131,
      0.2625671800911368,
      0.2615709567916753,
      0.26058397462871485,
      0.25960614486968436,
      0.25863737957434835,
      0.25767759176252925,
      0.2567266819497171,
      0.2557845384313272,
      0.2548510570014699,
      0.25392614058267016,
      0.25300969737075035,
      0.25210163954568277,
      0.2512018825185967,
      0.2503103440500785,
      0.2494269438859486,
      0.24855160333617063,
      0.24768424515164844,
      0.24682479326591028,
      0.24597317266813482,
      0.24512930929215063,
      0.24429313002304973,
      0.24346456245245854,
      0.24264353511931447,
      0.2418299772830889,
      0.24102381885199228,
      0.2402249905674513,
      0.23943342382246952,
      0.2386490507235951,
      0.23787180414254727,
      0.23710161752863382,
      0.23633842501540933,
      0.23558216135145585,
      0.23483276194768601,
      0.23409016293924587,
      0.23335430104660698,
      0.23262511356539187,
      0.2319025384854983,
      0.23118651431958837,
      0.23047698028982297,
      0.22977387609680322,
      0.2290771420971719,
      0.22838671924186507,
      0.22770254900327866,
      0.22702457339339221,
      0.22635273504712256,
      0.2256869772188523,
      0.22502724364088386,
      0.2243734785362595,
      0.22372562682385014,
      0.22308363409695697,
      0.22244744641344108,
      0.22181701029079817,
      0.22119227270260952,
      0.2205731811785944,
      0.2199596836263712,
      0.21935172856174887,
      0.2187492649209519,
      0.21815224219265386,
      0.2175606103099562,
      0.21697431970934924,
      0.2163933212257678,
      0.21581756614197842,
      0.21524700629013022,
      0.21468159390076005,
      0.21412128172036576,
      0.21356602288902712,
      0.21301577108654046,
      0.2124704803368418,
      0.2119301051062918,
      0.2113946003397345,
      0.21086392144746438,
      0.21033802421747813,
      0.20981686480514458,
      0.2093003998389279,
      0.20878859557006396,
      0.20828143218011275,
      0.20777888568208322,
      0.207280926819215,
      0.20678752265043698,
      0.2062986377400294,
      0.20581423496849702,
      0.20533427612082705,
      0.2048587223557656,
      0.20438753449468883,
      0.20392067311794673,
      0.20345809890229655,
      0.20299977253825147,
      0.20254565497853252,
      0.20209570744550864,
      0.20164989129961736,
      0.20120816831550903,
      0.2007705005522393,
      0.2003368503901062,
      0.19990718060665913,
      0.19948145421241328,
      0.19905963458003254,
      0.19864168547295558,
      0.1982275709481143,
      0.1978172554508061,
      0.19741070370707808,
      0.1970078808082573,
      0.19660875219478044,
      0.19621328357754456,
      0.19582144105150495,
      0.19543319098125775,
      0.19504850007860133,
      0.1946673353540122,
      0.19428966418382349,
      0.19391545420049816,
      0.19354467333661196,
      0.1931772898569889,
      0.19281327229053,
      0.19245258943904836,
      0.19209521050196288,
      0.1917411048202866,
      0.19139024214305192,
      0.19104259252627903,
      0.19069812632196237,
      0.1903568140664701,
      0.19001862658585655,
      0.18968353500050097,
      0.18935151076882126,
      0.1890225255415346,
      0.1886965512582817,
      0.18837356006731845,
      0.1880535244620501,
      0.18773641721538803,
      0.1874222112132518,
      0.18711087975939666,
      0.18680239628361464,
      0.1864967345339889,
      0.18619386845218666,
      0.18589377224027262,
      0.18559642039044,
      0.18530178763931737,
      0.1850098227482862,
      0.18472044480103747
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.992300579518842,
      10.791382109435691,
      10.581885279561865,
      10.365808099937398,
      10.145134260669652,
      9.921639314776849,
      9.696910674595237,
      9.472408124942438,
      9.249477488251221,
      9.029314729066508,
      8.812943869422288,
      8.601195073914617,
      8.394692097732245,
      8.193851343875208,
      7.998891437417336,
      7.809851204329216,
      7.626613466717353,
      7.448929419058433,
      7.276446525223302,
      7.108741402467104,
      6.945346594914738,
      6.785768942704804,
      6.629507911204037,
      6.476072074627978,
      6.324992832374613,
      6.175837788926064,
      6.028219643911497,
      5.881792442948498,
      5.736261505102319,
      5.591388254010155,
      5.446988288872339,
      5.302947042125587,
      5.159214494341293,
      5.015807135067584,
      4.872803712915646,
      4.73032445406747,
      4.588545673291306,
      4.447703509612922,
      4.30808662538551,
      4.170027428258689,
      4.033892039871216,
      3.900069340079825,
      3.7689575978284533,
      3.640951014873113,
      3.5164358895846717,
      3.3957794359269093,
      3.2793201356875277,
      3.1673602848241433,
      3.060160314893051,
      2.9579349629683622,
      2.860851159802357,
      2.7690233768824193,
      2.682514796235055,
      2.6013393001537306,
      2.5254549070434753,
      2.4547803872686913,
      2.389196881448369,
      2.3285579172622266,
      2.2726755610711757,
      2.2213000369548257,
      2.1741089467253003,
      2.130695794030515,
      2.0906389483703,
      2.053514886475778,
      2.0189142483218014,
      1.9864325086174421,
      1.9557180358794597,
      1.9264976673070946,
      1.8985638872629464,
      1.8717538818537829,
      1.8459326556399986,
      1.8209842339736402,
      1.7968174047074013,
      1.7733685175202472,
      1.7505873134496275,
      1.7284295209393656,
      1.7068565942322607,
      1.685834894904007,
      1.6653357218915228,
      1.6453338996169167,
      1.6258063971891172,
      1.6067325556566663,
      1.588094098314948,
      1.5698738586528096,
      1.5520555321684755,
      1.5346240289879396,
      1.5175657986554323,
      1.500867822083611,
      1.4845174440869715,
      1.468502407098947,
      1.4528108730149907,
      1.437431435049685,
      1.4223531219501742,
      1.40756548784316,
      1.393058882957051,
      1.3788240913587857,
      1.3648521923730728,
      1.3511345702300215,
      1.337662917541544,
      1.3244292349612448,
      1.3114258284075413,
      1.2986453026780482,
      1.2860805538339106,
      1.2737247607404019,
      1.2615713755311757,
      1.2496141136195893,
      1.237846943313549,
      1.2262640751324547,
      1.2148599799612982,
      1.203629284343495,
      1.1925667752710714,
      1.1816677962368196,
      1.170927940104159,
      1.1603429080893415,
      1.1499085163063656,
      1.1396207006434418,
      1.1294755188611123,
      1.1194691509330394,
      1.1095978985433768,
      1.099858183889246,
      1.0902465470173865,
      1.0807596432598734,
      1.0713942402468235,
      1.0621472143769382,
      1.0530155473875427,
      1.0439963227482782,
      1.0350867221088575,
      1.0262840216222864,
      1.0175855884722882,
      1.0089890494113976,
      1.0004923133309944,
      0.9920933120344597,
      0.9837902911638682,
      0.9755818165220507,
      0.9674663753044567,
      0.959442380275617,
      0.9515085140791782,
      0.9436639494986024,
      0.9359079475621725,
      0.9282395448861723,
      0.9206575823826009,
      0.9131607815924233,
      0.9057477997317753,
      0.8984172551851562,
      0.891167746043512,
      0.8839978645327858,
      0.876906207422598,
      0.8698913838712455,
      0.8629520208858054,
      0.8560867672834465,
      0.8492942965268473,
      0.8425733087552569,
      0.8359225318191378,
      0.8293407216352383,
      0.822826662887674,
      0.8163791687100389,
      0.8099970806277171,
      0.8036792679523208,
      0.797424627447806,
      0.7912320828664229,
      0.7851005841056342,
      0.7790291057855949,
      0.7730162711776751,
      0.7670604770938627,
      0.7611602979386066,
      0.7553146764449195,
      0.7495229068640252,
      0.7437843148546972,
      0.7380988264009565,
      0.7324668253307127,
      0.7268889912720993,
      0.7213657677553584,
      0.715897250736016,
      0.7104832885690935,
      0.7051235554571971,
      0.6998176035116959,
      0.6945649008236784,
      0.6893648591874386,
      0.6842168537443241,
      0.679120236893733,
      0.67407434890459,
      0.6690785247763366,
      0.6641320996869172,
      0.6592344125370749,
      0.6543848086463888,
      0.6495826412809316,
      0.644827272884023,
      0.6401180758382362,
      0.635454432940806,
      0.6308357376724294,
      0.6262613943643568,
      0.6217308328633457,
      0.6172437551537877,
      0.6127999934428486,
      0.608399270902397,
      0.6040412352993199,
      0.5997254831188434,
      0.5954515763065735,
      0.5912190543538102,
      0.5870274434183346,
      0.5828762625862934,
      0.5787650283391079,
      0.5746932576226116,
      0.5706604700888089,
      0.5666661896708021,
      0.5627099756593669,
      0.5587916866280522,
      0.5549112842892546,
      0.5510686062447406,
      0.547263404445601,
      0.5434953726149595,
      0.5397641649767296,
      0.5360694101683547,
      0.5324107206374786,
      0.5287876992839838,
      0.5251999443111878,
      0.5216470525062766,
      0.5181286215982508,
      0.5146442519040566,
      0.5111935471948518,
      0.5077761154711359,
      0.5043915696513288,
      0.5010395279472937,
      0.49771961375075674,
      0.4944314774622473,
      0.4911751091756713,
      0.48795064279480493,
      0.4847580594479061,
      0.4815972350906182,
      0.47846797302854105,
      0.475370027116227,
      0.4723031179748446,
      0.4692669443709162,
      0.46626119124519105,
      0.4632855353092217,
      0.4603396491207677,
      0.45742320357576993,
      0.45453586981743566,
      0.45167732079970213,
      0.44884723192468795,
      0.44604528185167464,
      0.44327115269134654,
      0.44052453037594363,
      0.43780510485018886,
      0.4351125700590823,
      0.4324466240889893,
      0.42980696887744496,
      0.42719331071312205,
      0.42460535989859954,
      0.4220428306957845,
      0.4195054411462647,
      0.4169929131989657,
      0.41450497261207436,
      0.41204134893380734,
      0.40960177543568427,
      0.4071859888962276,
      0.4047937296165092,
      0.40242474151493884,
      0.4000787719459576,
      0.3977555714967646,
      0.3954548941683491,
      0.39317649715343955,
      0.3909201408464087,
      0.38868558880597653,
      0.38647260774683745,
      0.38428096730622063,
      0.3821104400681002,
      0.37996080169253776,
      0.3778318306421506,
      0.37572330816641947,
      0.37363501836566304,
      0.3715667480812232,
      0.36951828673799747,
      0.3674894264961311,
      0.3654799621518609,
      0.3634896910680168,
      0.3615184130316517,
      0.3595659304716633,
      0.35763204806973525,
      0.35571657308710974,
      0.35381940106395926,
      0.35194050705377317,
      0.35007982447868213,
      0.3482372503012728,
      0.3464126562528555,
      0.34460589696290844,
      0.3428168156559169,
      0.3410452482756792,
      0.3392910260777379,
      0.33755397771711815,
      0.3358339306867787,
      0.3341307122769772,
      0.3324441501867042,
      0.3307740730059908,
      0.32912031059577795,
      0.32748269435487276,
      0.3258610571707801,
      0.3242552337163611,
      0.3226650603938239,
      0.32109037535781815,
      0.31953098451308154,
      0.3179866034634885,
      0.31645696695759973,
      0.3149418456386879,
      0.31344103612698504,
      0.31195435412098593,
      0.31048162941184193,
      0.30902270218085737,
      0.30757742041484765,
      0.30614563807305967,
      0.30472721398628966,
      0.30332201075940535,
      0.3019298939655715,
      0.30055073581377195,
      0.2991844152410834,
      0.29783081124578364,
      0.2964898026443305,
      0.2951612684996677,
      0.29384508838282797,
      0.29254114253323416,
      0.2912493121469389,
      0.28996947946304646,
      0.28870152988703257,
      0.28744537106957074,
      0.28620091892996186,
      0.284968081126567,
      0.2837467598059338,
      0.2825368536164389,
      0.2813382589057536,
      0.28015087076865175,
      0.2789745836433491,
      0.27780929201865556,
      0.27665489060585363,
      0.2755112745863334,
      0.27437833991055915,
      0.27325598324296846,
      0.2721441021624832,
      0.2710425950726219,
      0.26995136145746174,
      0.26887030177130694,
      0.26779931744580066,
      0.26673831082300364,
      0.26568718533289204,
      0.2646458454575251,
      0.2636141966473704,
      0.262592145367645,
      0.2615795989313664,
      0.2605764656270441,
      0.2595826547222169,
      0.2585980764697535,
      0.2576226420152866,
      0.2566562528657702,
      0.25569879550377156,
      0.2547501626285193,
      0.25381025451700406,
      0.2528789769942427,
      0.25195624013622175,
      0.2510419572043497,
      0.25013604412563895,
      0.24923841888044276,
      0.24834900110105423,
      0.24746771184124092,
      0.24659447345220295,
      0.24572920924668126,
      0.24487184361141084,
      0.24402230183053944,
      0.24318051011524933,
      0.2423463954838402,
      0.24151988564446283,
      0.24070090915958398,
      0.23988939528255981,
      0.23908527398726317,
      0.238288475961669,
      0.23749893270551162,
      0.23671657628705955,
      0.23594133953420293,
      0.23517315597355185,
      0.23441195972091608,
      0.23365768550069305,
      0.2329102687437087,
      0.23216964550897906,
      0.23143575250958417,
      0.23070852701305145,
      0.2299879069346873,
      0.2292738308692776,
      0.22856623795946088,
      0.22786506789322558,
      0.2271702610050667,
      0.22648175818816887,
      0.22579950091029172,
      0.22512343130800241,
      0.22445349204127432,
      0.22378962637873087,
      0.22313177829779096,
      0.22247989221826386,
      0.2218339130935546,
      0.2211937863891533,
      0.22055945801187038,
      0.21993087438055578,
      0.21930798239655513,
      0.2186907295558523,
      0.21807906375786357,
      0.2174729334845167,
      0.21687228770138645,
      0.21627707581140385,
      0.21568724763533353,
      0.21510275361011866,
      0.21452354464558576,
      0.21394957199577636,
      0.21338078744931144,
      0.21281714326706344,
      0.21225859219788637,
      0.21170508743247907,
      0.2111565825839908,
      0.21061303173396703,
      0.2100743893396775,
      0.20954061080425368,
      0.20901166747439126,
      0.20848753918677768,
      0.20796819876584913,
      0.20745361421692715,
      0.20694375013643604,
      0.20643856884149647,
      0.20593803121086485,
      0.20544209716420184,
      0.2049507260101815,
      0.20446387683021733,
      0.20398150859424388,
      0.20350358031383864,
      0.203030051106648,
      0.2025608803116411,
      0.20209602759274284,
      0.20163545295405744,
      0.20117911665498966,
      0.20072697929125177,
      0.20027900180101466,
      0.19983514538295175,
      0.19939537174598496,
      0.19895964286485232,
      0.19852792110540338,
      0.19810016918598447,
      0.1976763501781933,
      0.19725642754709843,
      0.1968403650528614,
      0.19642812674261373,
      0.1960196770829982,
      0.19561498082727538,
      0.1952140031125314,
      0.194816709379862,
      0.1944230653849795,
      0.19403303726061938,
      0.19364659144058516,
      0.1932636946737042,
      0.1928843140390464,
      0.1925084169624097,
      0.1921359710684005,
      0.19176694435165148,
      0.191401305056326,
      0.1910390217478344,
      0.19068006334704757,
      0.19032439906449358,
      0.1899719983861308,
      0.18962283103489685,
      0.18927686709840544,
      0.1889340769290663,
      0.18859443115954752,
      0.18825790064295506,
      0.1879244565083127,
      0.1875940702299142,
      0.18726671351946048,
      0.1869423583849685,
      0.18662097699946942,
      0.18630254183767364,
      0.18598702575015635,
      0.18567440170811353,
      0.18536464298096336,
      0.18505772311187213,
      0.18475361588100803,
      0.18445229525750656,
      0.1841537235104325,
      0.18385783012596038,
      0.18356453742288825,
      0.1832737837123966,
      0.1829855187858239
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.992281689156814,
      10.791322197262183,
      10.581767369531509,
      10.36561991072659,
      10.144868212769884,
      9.921292881041168,
      9.696485028782211,
      9.471906558171224,
      9.248904900913576,
      9.02867670708384,
      8.812246072936365,
      8.600442929601273,
      8.393890545977099,
      8.193004648327825,
      7.998003064566047,
      7.808923770871207,
      7.625648748502666,
      7.44792795620048,
      7.275408015377855,
      7.107664815696736,
      6.9442305229891215,
      6.784611775109763,
      6.628307965512819,
      6.474827727170337,
      6.323702645169585,
      6.174500961528509,
      6.026836129286787,
      5.880363034703708,
      5.734787512664643,
      5.589871757329916,
      5.445432186745748,
      5.301354936235411,
      5.157590483085981,
      5.014156169299244,
      4.871131715962926,
      4.728638470311231,
      4.586853477568024,
      4.446013514861418,
      4.3064077572015265,
      4.168368970116143,
      4.03226345608992,
      3.898480081994742,
      3.7674174011837733,
      3.639469646546111,
      3.51502253631131,
      3.394442447023231,
      3.2780668865756386,
      3.1661970732094793,
      3.0590922903651108,
      2.9569660929865753,
      2.8599838942528937,
      2.7682583910638225,
      2.6818517449255594,
      2.6007761972695693,
      2.524988604061406,
      2.4544067227976214,
      2.388910577225255,
      2.3283530479324663,
      2.2725442412573527,
      2.221232404837206,
      2.174091810365715,
      2.1307152272699685,
      2.0906814053913707,
      2.053567655230251,
      2.0189656334342385,
      1.986472140817871,
      1.955738094271904,
      1.9264925112219429,
      1.8985294440750764,
      1.871687265066239,
      1.8458318672974583,
      1.8208479930363954,
      1.7966446100780453,
      1.7731580536142233,
      1.7503386389026598,
      1.7281424875104108,
      1.7065313148997265,
      1.6854715762333787,
      1.664934519182014,
      1.644895121343737,
      1.6253304748714696,
      1.6062197446827473,
      1.5875446182950765,
      1.569288049418616,
      1.5514338213837466,
      1.5339666585432215,
      1.5168728451987914,
      1.5001394859197588,
      1.483754017922697,
      1.4677042522114478,
      1.451978400000337,
      1.4365650888467152,
      1.4214533701696868,
      1.406632814837369,
      1.3920937861148195,
      1.3778270677678597,
      1.3638237347078979,
      1.350075163104931,
      1.336573035590332,
      1.3233093414120396,
      1.3102763732278986,
      1.2974667221623195,
      1.2848732704037393,
      1.2724891825432048,
      1.2603078962865317,
      1.2483231129100119,
      1.2365287868041759,
      1.2249191150190661,
      1.2134885034558696,
      1.202231479680275,
      1.191142851907848,
      1.1802179854344177,
      1.169452479675875,
      1.1588420391760872,
      1.1483824809769976,
      1.1380697399083515,
      1.1278998708900219,
      1.1178690503370279,
      1.1079735757506821,
      1.09820986430591,
      1.08857445047813,
      1.079063983816661,
      1.0696752264446623,
      1.0604050488964643,
      1.0512504270179432,
      1.0422084383835795,
      1.0332762588672642,
      1.0244511590867487,
      1.0157305589327725,
      1.0071122273172979,
      0.9985940487736931,
      0.9901741745299405,
      0.981851103696971,
      0.973623276921882,
      0.9654890810554504,
      0.9574471839830985,
      0.9494966224610449,
      0.9416365775209381,
      0.9338660491158409,
      0.9261838650229038,
      0.9185887041804134,
      0.9110791676078039,
      0.9036538202309591,
      0.8963112095196557,
      0.8890498791966676,
      0.8818683798871868,
      0.8747652764362813,
      0.8677391532423819,
      0.8607886181871695,
      0.853912305536375,
      0.8471088774198434,
      0.8403770249201985,
      0.8337154690357292,
      0.8271229605102948,
      0.8205982796569463,
      0.8141402362835863,
      0.8077476692197708,
      0.8014194456023862,
      0.7951544605865797,
      0.7889516364703301,
      0.7828099218469283,
      0.7767281684639776,
      0.7707048048632446,
      0.7647383004998958,
      0.7588274612545839,
      0.752971502014773,
      0.7471696886954746,
      0.7414218857136387,
      0.7357284468796685,
      0.7300900157290685,
      0.7245070366947445,
      0.7189796010939385,
      0.7135075494416875,
      0.7080905454939559,
      0.7027281294049686,
      0.697419756328248,
      0.6921648245891708,
      0.6869626952901766,
      0.6818127069936609,
      0.6767141860602309,
      0.671666453640911,
      0.6666688312283772,
      0.6617206442773005,
      0.6568212248985248,
      0.6519699133065523,
      0.6471660593760205,
      0.6424090232957017,
      0.637698175884518,
      0.6330328989536012,
      0.6284125851843678,
      0.623836638540944,
      0.6193046998542487,
      0.614816601276608,
      0.6103720767756118,
      0.6059707791617862,
      0.6016123056177681,
      0.5972962160358928,
      0.5930220460276009,
      0.5887893162997224,
      0.5845975396239896,
      0.5804462254734265,
      0.5763348833335502,
      0.5722630251834964,
      0.5682301673342979,
      0.5642358695749511,
      0.5602799973589401,
      0.5563625020685476,
      0.5524832118042916,
      0.5486418697128257,
      0.544838160797707,
      0.541071731333243,
      0.5373422023194262,
      0.5336491787005624,
      0.5299922561600545,
      0.5263710258441111,
      0.5227850777183818,
      0.5192340028487917,
      0.5157173949970736,
      0.512234851485474,
      0.5087859744289744,
      0.5053703705838941,
      0.5019876522053057,
      0.4986374367537212,
      0.4953193899315008,
      0.4920335302952421,
      0.488779975225533,
      0.4855586926559665,
      0.4823695474455811,
      0.4792123336249141,
      0.4760867969163746,
      0.4729926506846704,
      0.469929587253747,
      0.46689728562176286,
      0.46389541679659596,
      0.46092364778800254,
      0.4579816442453916,
      0.4550690724121755,
      0.4521856004037972,
      0.44933089904352874,
      0.4465046423608981,
      0.44370650800969863,
      0.44093617758196296,
      0.43819333674280264,
      0.4354776752127834,
      0.43278888700529156,
      0.43012667020779155,
      0.427490727094733,
      0.42488076409048914,
      0.42229649155652915,
      0.41973762386027796,
      0.4172038793193305,
      0.41469498019982337,
      0.41221065241216737,
      0.4097506256927761,
      0.4073146334073376,
      0.4049024126372471,
      0.40251370401470277,
      0.400148251535801,
      0.3978058026311056,
      0.3954861081886003,
      0.3931889223511938,
      0.39091400252134745,
      0.3886611092673807,
      0.38643000625836577,
      0.3842204603556372,
      0.3820322413515794,
      0.37986512206820566,
      0.37771887815419913,
      0.37559328816507687,
      0.37348813362177813,
      0.3714031986661541,
      0.3693382702543568,
      0.36729313799768254,
      0.36526759413438353,
      0.3632614336068446,
      0.36127445378701695,
      0.35930645456106186,
      0.35735723839234385,
      0.3554266101088845,
      0.35351443293160806,
      0.35162067719775003,
      0.34974528601243093,
      0.34788816252873916,
      0.34604918209124375,
      0.3442282012468724,
      0.3424250639092004,
      0.34063960581828384,
      0.33887165761836674,
      0.33712104681843563,
      0.33538759955942726,
      0.33367114157088945,
      0.33197149894428307,
      0.33028849850933445,
      0.32862196829884127,
      0.3269717378486205,
      0.32533763827081674,
      0.3237195023803268,
      0.32211716469722945,
      0.32053045552658993,
      0.3189591197002866,
      0.3174028676278876,
      0.3158614518309834,
      0.31433465511168013,
      0.31282228237313986,
      0.3113241547451035,
      0.30984010537004236,
      0.3083699763761777,
      0.30691361678440354,
      0.30547088089659147,
      0.30404162733722967,
      0.3026257180833329,
      0.30122301795009154,
      0.29983339419945165,
      0.2984567173254303,
      0.2970928657180845,
      0.2957417203168522,
      0.29440316115545134,
      0.2930770680992306,
      0.29176332140156763,
      0.29046180177663616,
      0.28917239077779133,
      0.2878949776362937,
      0.2866294763261648,
      0.2853757985408413,
      0.2841338484870675,
      0.2829035254805963,
      0.2816847257335109,
      0.28047734360704346,
      0.27928127230903,
      0.2780964048528146,
      0.27692263408513557,
      0.27575985341251086,
      0.2746079567008428,
      0.2734668385192592,
      0.27233639446185354,
      0.27121652091208154,
      0.2701071151653737,
      0.269008075541194,
      0.26791930139623554,
      0.2668406930512952,
      0.26577215186070025,
      0.2647135802464292,
      0.2636648815572273,
      0.26262596031170454,
      0.26159672179624327,
      0.26057707241563194,
      0.2595669194232586,
      0.2585661711882786,
      0.25757473700794675,
      0.25659251950877426,
      0.2556194034398718,
      0.25465527818116007,
      0.25370004122974943,
      0.25275359595693875,
      0.2518158501757801,
      0.25088671510595284,
      0.24996610470725164,
      0.24905393509895277,
      0.24815012422852548,
      0.2472545914192501,
      0.2463672572533056,
      0.24548804342066194,
      0.2446168727245073,
      0.2437536689119139,
      0.2428983565713526,
      0.24205086124898628,
      0.2412111092500651,
      0.24037902751897577,
      0.23955454391561412,
      0.23873758707488088,
      0.23792808626844755,
      0.23712597151061432,
      0.2363311735135082,
      0.23554362369540216,
      0.23476325412774493,
      0.233989997598714,
      0.23322378750092307,
      0.23246455801371732,
      0.231712243931589,
      0.2309667806476495,
      0.23022810410030495,
      0.22949615095097428,
      0.2287708586114485,
      0.22805216495556396,
      0.22734000845224514,
      0.22663432823697088,
      0.22593506410882563,
      0.22524215631364528,
      0.2245555458119922,
      0.22387517420593525,
      0.2232009838970947,
      0.22253291773846384,
      0.22187091895485345,
      0.2212149313444897,
      0.22056489915152352,
      0.2199207671689742,
      0.219282480856443,
      0.2186499861036471,
      0.21802322930083562,
      0.21740215732175533,
      0.2167867176227165,
      0.2161768580764141,
      0.21557252713802535,
      0.21497367373331785,
      0.21438024735191744,
      0.2137921978625261,
      0.2132094755841108,
      0.21263203135825148,
      0.21205981657258863,
      0.21149278298253188,
      0.21093088280155847,
      0.21037406875455647,
      0.20982229699412955,
      0.20927554151988131,
      0.20873377940440682,
      0.20819698099501982,
      0.20766511203370344,
      0.20713813504615222,
      0.20661601041324687,
      0.2060986970650885,
      0.20558615313126696,
      0.2050783362062052,
      0.2045752036378188,
      0.20407671268781022,
      0.2035828207043041,
      0.20309348523091897,
      0.20260866409112527,
      0.20212831529538067,
      0.20165239720342024,
      0.20118086850946623,
      0.20071368829219866,
      0.20025081600265573,
      0.199792211453342,
      0.19933783485944934,
      0.19888764675422296,
      0.19844160807106237,
      0.1979996800613917,
      0.1975618243919983,
      0.19712800310370074,
      0.19669817857132382,
      0.19627231354156705,
      0.19585037109547015,
      0.19543231467569983,
      0.1950181080517224,
      0.19460771532423152,
      0.19420110098158613,
      0.19379822991950155,
      0.1933990672585636,
      0.19300357850640232,
      0.1926117294790633,
      0.1922234862492318,
      0.19183881531144278,
      0.191457683570995,
      0.19108005809237877,
      0.19070590625543002,
      0.19033519581093467,
      0.189967894733872,
      0.18960397138305365,
      0.18924339434374798,
      0.18888613250041,
      0.18853215512306476,
      0.18818143175161872,
      0.18783393219557484,
      0.1874896265221176,
      0.18714848513405674,
      0.18681047874739298,
      0.18647557821712468,
      0.18614375471994227,
      0.18581497979813094,
      0.18548922518850605,
      0.18516646290652436,
      0.18484666520416135,
      0.18452980459223062,
      0.1842158539782709,
      0.18390478634781832,
      0.1835965749676196,
      0.18329118117596582,
      0.18298854955343302,
      0.18268860544451113,
      0.18239127937828029,
      0.1820965154621881,
      0.18180426764419408,
      0.18151449705635636,
      0.18122717004752426
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.992262733586427,
      10.791262049608013,
      10.581648931766603,
      10.365430726676493,
      10.144600502517351,
      9.920943909408813,
      9.696055773528029,
      9.47140013138828,
      9.24832604187902,
      9.028030859632198,
      8.811538778641905,
      8.599679519501912,
      8.393075880099602,
      8.192142925855833,
      7.997097701090643,
      7.807977341643743,
      7.624662871779689,
      7.446903043388968,
      7.274343765287202,
      7.106560191927326,
      6.9430841039622395,
      6.783421931642815,
      6.627072992550258,
      6.473545974293912,
      6.322372711850625,
      6.173122078399128,
      6.0254082122015165,
      5.87888683204647,
      5.733264298851286,
      5.588303580731428,
      5.443821927022939,
      5.299706150390361,
      5.1559072935908885,
      5.012443573268016,
      4.869395688119764,
      4.7268861198031855,
      4.585092673091381,
      4.444252792326951,
      4.304656192854769,
      4.166636024251273,
      4.030558791712215,
      3.896813368658826,
      3.7657983748611388,
      3.637908319236881,
      3.5135283473665373,
      3.3930239996278786,
      3.2767318072371348,
      3.16495190228641,
      3.0579424096549253,
      2.955915687602171,
      2.8590356195400086,
      2.7674131158241204,
      2.681109297324171,
      2.600134745846952,
      2.5244451353866215,
      2.453957191187153,
      2.3885498008432924,
      2.3280751815774745,
      2.272341458754956,
      2.2210948128308927,
      2.1740061739440253,
      2.1306676265150672,
      2.0906581211574604,
      2.053555942784479,
      2.01895369049756,
      1.9864495395499144,
      1.9556970228338832,
      1.9264273290530594,
      1.898436072486156,
      1.8715628041964578,
      1.8456743120404921,
      1.82065602424407,
      1.796417180416512,
      1.7728940023056945,
      1.7500373793215682,
      1.7278038280384622,
      1.7061553278279415,
      1.6850585289764344,
      1.6644845975945861,
      1.6444085620205773,
      1.6248076472165485,
      1.6056609673698174,
      1.586950040071648,
      1.5686579490964216,
      1.5507685731992498,
      1.5332665557218366,
      1.5161379300714575,
      1.4993699025090574,
      1.482950009820092,
      1.4668661375006888,
      1.451106551208178,
      1.435659916753143,
      1.4205153109662796,
      1.4056623253581806,
      1.3910913395070874,
      1.3767931387616323,
      1.3627587952761941,
      1.3489796788389672,
      1.3354474630845474,
      1.322154126344034,
      1.3090919494283353,
      1.2962535105980602,
      1.2836316784212247,
      1.271219604076486,
      1.2590107116998581,
      1.2469986891803895,
      1.235177477732364,
      1.2235412612087566,
      1.212084347104321,
      1.200801204957376,
      1.1896866647941913,
      1.1787361138330712,
      1.1679451573848392,
      1.1573095024432074,
      1.146824966437524,
      1.136487482882466,
      1.126293103984773,
      1.116238002195083,
      1.1063184701452973,
      1.0965309200358482,
      1.0868718814494764,
      1.0773379982410929,
      1.0679260263207668,
      1.0586328306354704,
      1.0494553812803324,
      1.0403907501412837,
      1.0314361074860512,
      1.022588718529576,
      1.0138461451049674,
      1.005206213140671,
      0.9966669809128939,
      0.9882268808894394,
      0.9798843051645646,
      0.9716376139399673,
      0.9634854592143781,
      0.9554267389893628,
      0.9474605517180786,
      0.9395858514498955,
      0.931801426995044,
      0.9241059423885709,
      0.916497949673307,
      0.9089759558493826,
      0.9015384537711788,
      0.8941839355983672,
      0.8869109028266747,
      0.8797178733369447,
      0.8726033868100712,
      0.8655660083259907,
      0.8586043311316517,
      0.8517169778803863,
      0.84490260167847,
      0.8381598869492167,
      0.8314875490571367,
      0.8248843343278356,
      0.8183490197585093,
      0.8118804126302216,
      0.8054773495188041,
      0.7991386958800378,
      0.7928633451958071,
      0.7866502183991456,
      0.7804982631238445,
      0.7744060961652554,
      0.7683720853858809,
      0.7623948915190332,
      0.7564736437890298,
      0.7506075518842302,
      0.744796409625178,
      0.739040527801469,
      0.7333405113960378,
      0.7276968056354344,
      0.7221094974074402,
      0.7165784190776414,
      0.7111032236392315,
      0.7056834392483645,
      0.7003185078747344,
      0.6950078138740863,
      0.6897507042947912,
      0.6845465030882735,
      0.6793945221667128,
      0.6742940685779971,
      0.6692444499588649,
      0.6642449780547504,
      0.6592949714135811,
      0.6543937570855867,
      0.6495406720231544,
      0.6447350636791404,
      0.6399762905194444,
      0.6352637222762213,
      0.630596740020193,
      0.6259747362588493,
      0.6213972810803953,
      0.6168641908192223,
      0.6123752126787497,
      0.6079300062638177,
      0.6035281710829657,
      0.5991692656986646,
      0.5948528222240903,
      0.5905783564156684,
      0.5863453747168382,
      0.5821533797515964,
      0.5780018737524683,
      0.5738903611811437,
      0.5698183502976402,
      0.5657854007822735,
      0.5617913839275669,
      0.5578362412938453,
      0.5539197914784091,
      0.5500417687708069,
      0.546201850013474,
      0.5423996734827486,
      0.5386348521660042,
      0.5349069834382064,
      0.5312156557550882,
      0.5275604530979663,
      0.5239409583048591,
      0.5203567556307298,
      0.5168074324186951,
      0.5132925796597524,
      0.5098117929195052,
      0.5063646729482544,
      0.5029508258255461,
      0.4995698631228209,
      0.49622146462234806,
      0.4929056753860354,
      0.4896225969578472,
      0.48637218466113236,
      0.48315429279463623,
      0.479968706323806,
      0.4768151631061712,
      0.47369336939709467,
      0.47060301082648426,
      0.46754376018107996,
      0.4645152828087211,
      0.46151724029887936,
      0.45854929314018883,
      0.45561110259297377,
      0.45270233175854213,
      0.4498226466891794,
      0.4469717169323059,
      0.4441492156129062,
      0.44135481974227425,
      0.43858821075423987,
      0.43584907427918207,
      0.43313709991860505,
      0.43045198185974143,
      0.42779341837337065,
      0.4251611118475882,
      0.4225547687979699,
      0.41997409977856015,
      0.4174188193460381,
      0.41488864612832316,
      0.41238330246438215,
      0.40990251452929355,
      0.4074460123863989,
      0.40501352963585474,
      0.4026048034986567,
      0.40021957467453706,
      0.3978575873305387,
      0.3955185892453699,
      0.39320233144899147,
      0.39090856822146813,
      0.38863705714604563,
      0.386387558911503,
      0.3841598374487321,
      0.3819536596128641,
      0.37976879535243696,
      0.3776050175770587,
      0.3754621021300742,
      0.3733398278163004,
      0.37123797615371334,
      0.36915633145945453,
      0.36709468076125024,
      0.36505281376372223,
      0.36303052281835496,
      0.36102760287166497,
      0.35904385151935253,
      0.35707906878434753,
      0.3551330572293477,
      0.353205652437949,
      0.35129681297931586,
      0.3494064923296926,
      0.3475346000382914,
      0.345681015501918,
      0.3438455974255378,
      0.34202819063308326,
      0.34022863078799337,
      0.33844674780347844,
      0.3366823681846559,
      0.33493531666702175,
      0.333205417411969,
      0.33149249470003733,
      0.329796373671983,
      0.3281168806236546,
      0.32645384308520264,
      0.32480709038544714,
      0.32317645345511375,
      0.3215617650151207,
      0.3199628125340637,
      0.318379301436943,
      0.3168109626835886,
      0.3152575629486691,
      0.3137188946055618,
      0.31219476897033405,
      0.31068501120322084,
      0.3091894568868361,
      0.3077079495310105,
      0.30624033863894773,
      0.3047864784291587,
      0.3033462270180545,
      0.3019194455634884,
      0.3005059978885162,
      0.2991057502017124,
      0.2977185706844153,
      0.2963443294779207,
      0.29498290241482844,
      0.29363417129912467,
      0.29229801743719086,
      0.29097432166712356,
      0.28966296482907566,
      0.288363828093662,
      0.2870768094176311,
      0.2858018235818094,
      0.2845387783040389,
      0.2832875747926215,
      0.2820481098099361,
      0.2808202773872966,
      0.27960396994325604,
      0.27839907901222105,
      0.2772054959435295,
      0.27602311220370745,
      0.27485181974183337,
      0.27369151113875284,
      0.2725420798212262,
      0.2714034200235854,
      0.2702754268911307,
      0.26915799664943063,
      0.26805102654751095,
      0.26695441472753983,
      0.2658680604909358,
      0.26479186413546435,
      0.26372572696037866,
      0.2626695513251611,
      0.2616232405968358,
      0.2605866991001265,
      0.2595598321846332,
      0.25854254623153955,
      0.257534748548862,
      0.2565363422337456,
      0.25554721121661667,
      0.25456724157119137,
      0.2535963278393477,
      0.2526343707776775,
      0.2516812758396337,
      0.25073695220911946,
      0.2498013117580824,
      0.2488742686753321,
      0.24795573906506932,
      0.24704564043749513,
      0.24614389175131743,
      0.2452504131428288,
      0.2443651257735651,
      0.24348795171919174,
      0.2426188140140555,
      0.24175763648243315,
      0.24090434394114918,
      0.2400588619221133,
      0.23922111676579688,
      0.23839103551377344,
      0.23756854595613822,
      0.2367535767066669,
      0.2359460570514768,
      0.23514591704182083,
      0.23435308734732377,
      0.233567499327406,
      0.23278908510502416,
      0.23201777743920302,
      0.2312535097906064,
      0.2304962161982217,
      0.2297458313488995,
      0.2290022906869911,
      0.22826553025953486,
      0.2275354867667272,
      0.22681209742353242,
      0.2260953000779163,
      0.22538503326693057,
      0.22468123614797467,
      0.22398384876314142,
      0.22329281169578338,
      0.2226080659323234,
      0.22192955311983129,
      0.22125721540569743,
      0.22059099543191926,
      0.21993083634361008,
      0.21927668187528684,
      0.21862847629940907,
      0.2179861644402134,
      0.21734969153667272,
      0.21671900345045447,
      0.21609404657051726,
      0.21547476780850042,
      0.214861114608796,
      0.21425303489666792,
      0.21365047704063253,
      0.21305338998183865,
      0.2124617231108722,
      0.21187542619708885,
      0.21129444967521355,
      0.21071874440000793,
      0.2101482663491202,
      0.20958299067521183,
      0.2090228923169878,
      0.20846793957847876,
      0.20791809627935035,
      0.20737332304831654,
      0.206833578349367,
      0.20629881933463945,
      0.20576900224642952,
      0.20524408293034443,
      0.2047240169268485,
      0.20420875984135495,
      0.20369826735827012,
      0.2031924953059558,
      0.20269139986232032,
      0.20219493737953287,
      0.2017030646038837,
      0.2012157386553351,
      0.20073291703379773,
      0.200254557639224,
      0.1997806187298963,
      0.19931105890698742,
      0.1988458372405894,
      0.198384913104457,
      0.19792824643214502,
      0.1974757973003141,
      0.19702752630170287,
      0.19658339433451485,
      0.19614336272362476,
      0.19570739310175864,
      0.1952754475333432,
      0.19484748847456582,
      0.1944234786712315,
      0.19400338122295271,
      0.19358715962330894,
      0.19317477775037123,
      0.1927661997569111,
      0.19236139017789122,
      0.19196031391207408,
      0.19156293610309463,
      0.1911692222631826,
      0.19077913829657103,
      0.1903926503586324,
      0.1900097249579468,
      0.18963032889402098,
      0.18925442934882175,
      0.1888819937506656,
      0.188512989855382,
      0.18814738577768828,
      0.18778514983294564,
      0.18742625069784458,
      0.18707065735606052,
      0.18671833901953724,
      0.1863692652160764,
      0.18602340576346357,
      0.18568073092288548,
      0.18534121100685064,
      0.18500481676331543,
      0.18467151922707437,
      0.1843412895595698,
      0.18401409934711757,
      0.1836899203662501,
      0.18336872462985582,
      0.18305048440841476,
      0.18273517229060954,
      0.18242274778831252,
      0.1821131599523648,
      0.18180634630536519,
      0.1815022322904577,
      0.18120075608793348,
      0.18090186717999834,
      0.18060552334641675,
      0.18031168840454137,
      0.18002033058301542,
      0.17973142128149433,
      0.17944493433850056
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.992243699989878,
      10.791201626802554,
      10.581529894286597,
      10.365240446435726,
      10.14433100681539,
      9.920592263279984,
      9.695622863813993,
      9.470888989975155,
      9.247741235661247,
      9.027377682849941,
      8.810822644211163,
      8.59890565084929,
      8.39224905115618,
      8.191267264532591,
      7.996176562863819,
      7.807013251900519,
      7.623657301096489,
      7.445856284104207,
      7.2732555105802,
      7.105429514012387,
      6.941909551055339,
      6.782201842749084,
      6.625805627331314,
      6.472229645712023,
      6.321006082061923,
      6.171704435389473,
      6.023939422701462,
      5.877367589633024,
      5.731695832042446,
      5.586687896954249,
      5.442161879604806,
      5.298005180528748,
      5.154169545211535,
      5.01067408643272,
      4.8676004850051475,
      4.725072369289006,
      4.583268331555881,
      4.4424265101171,
      4.302837186151926,
      4.164833916266818,
      4.028783430491587,
      3.895074625962546,
      3.764106197386668,
      3.6362729286210222,
      3.5119593986414603,
      3.391530314025373,
      3.2753212266585714,
      3.163631177705063,
      3.056717123545915,
      2.9547902134282853,
      2.858012789452122,
      2.7664939654976206,
      2.6802938038033117,
      2.5994212098909437,
      2.5238306589330075,
      2.453437827129698,
      2.3881204498061583,
      2.3277300672145205,
      2.272072804631049,
      2.220892757339684,
      2.173857326999322,
      2.130558082099895,
      2.0905741604885986,
      2.053484707954414,
      2.0188831984954954,
      1.9863693124213124,
      1.955599274075618,
      1.9263064311526574,
      1.898287950090231,
      1.8713845530339854,
      1.8454639453191939,
      1.8204121870569159,
      1.7961388143103845,
      1.7725799333704113,
      1.7496869788014275,
      1.7274168728421266,
      1.705731859521791,
      1.684598784988741,
      1.6639887359305932,
      1.6438767920471553,
      1.6242403118813442,
      1.6050583931150808,
      1.586312372849069,
      1.5679854316890651,
      1.5500615468586982,
      1.532525433014447,
      1.515362829138978,
      1.4985608891429933,
      1.4821072613451214,
      1.4659899149244802,
      1.450197177606709,
      1.4347177600137158,
      1.4195407701751657,
      1.4046558247957828,
      1.3900533245011069,
      1.375724059099652,
      1.3616590996652667,
      1.3478498116014006,
      1.33428786135071,
      1.3209652182413225,
      1.3078741524434703,
      1.2950072302560278,
      1.282357308340858,
      1.2699175251567694,
      1.2576812920068647,
      1.2456422835103638,
      1.2337944279123285,
      1.222131881921147,
      1.2106488396672648,
      1.199339752539915,
      1.1881994719467286,
      1.1772234075030692,
      1.1664071685856,
      1.1557464638598434,
      1.145237110497204,
      1.1348750398768954,
      1.1246563010036148,
      1.1145770622548796,
      1.1046336118155358,
      1.0948223568472202,
      1.085139821182239,
      1.0755826431587452,
      1.0661475731770604,
      1.0568314701981256,
      1.0476312986914527,
      1.038544125095471,
      1.0295671143269474,
      1.0206975989457618,
      1.0119332763089963,
      1.0032721159452778,
      0.9947124848091015,
      0.986252725896121,
      0.9778911725914781,
      0.9696264610338376,
      0.9614573508619811,
      0.9533828531823881,
      0.9454018734479593,
      0.9375131509751804,
      0.929715309903282,
      0.9220068849872805,
      0.9143863303563347,
      0.906852080005962,
      0.8994025708621483,
      0.8920362519947899,
      0.8847515917080813,
      0.877547082584757,
      0.8704212447598579,
      0.8633726283572993,
      0.8563998148505035,
      0.8495014177661337,
      0.8426760832513871,
      0.8359224902092839,
      0.8292393498079157,
      0.8226254048788224,
      0.816079429771655,
      0.8096002294501465,
      0.8031866386496709,
      0.7968375212531473,
      0.7905517696870221,
      0.7843283038847977,
      0.7781659579234961,
      0.7720631446024043,
      0.7660183783289646,
      0.7600306756787508,
      0.7540991928778542,
      0.7482236409550607,
      0.7424042709703849,
      0.7366416457957443,
      0.7309362105325181,
      0.7252880465872262,
      0.7196969776529969,
      0.714162645560728,
      0.7086845655586671,
      0.7032621658015676,
      0.6978948162232668,
      0.6925818490618613,
      0.6873225737949694,
      0.6821162874948046,
      0.6769622826712667,
      0.671859852500635,
      0.666808294271468,
      0.6618069126377131,
      0.6568550210883265,
      0.6519519432684899,
      0.6470970138279682,
      0.6422895786748516,
      0.6375289950185232,
      0.6328146318664543,
      0.6281458700881395,
      0.6235222057109535,
      0.6189434385128266,
      0.614409329983611,
      0.6099195471797451,
      0.6054736918461908,
      0.6010713216273889,
      0.5967119652399789,
      0.5923951332826437,
      0.5881203260930041,
      0.583887039108112,
      0.5796947670451764,
      0.575543006306045,
      0.5714312574970704,
      0.567359079291678,
      0.5633263476422294,
      0.5593329944784503,
      0.555378829541791,
      0.5514635782767298,
      0.5475869090483666,
      0.5437484519731105,
      0.5399478122222979,
      0.5361845795472456,
      0.5324583348973598,
      0.5287686551197247,
      0.5251151162148909,
      0.5214972955927687,
      0.5179147735661688,
      0.5143671344690113,
      0.510853967378692,
      0.5073748669035415,
      0.5039294329705459,
      0.5005172711907343,
      0.49713807393782894,
      0.4937919109112252,
      0.49047886887336206,
      0.4871988910331639,
      0.4839518215008345,
      0.4807374364009875,
      0.4775554656764811,
      0.4744056085829067,
      0.47128754417248914,
      0.46820093922142875,
      0.4651454533475951,
      0.46212074258336266,
      0.45912646212881064,
      0.45616226804073223,
      0.45322781862733735,
      0.4503227751461326,
      0.44744680234323697,
      0.4445995687340409,
      0.44178074685566276,
      0.43899001364546836,
      0.43622705038769255,
      0.433491542660778,
      0.43078318028590523,
      0.428101657505526,
      0.4254466727321112,
      0.4228179286040204,
      0.42021513178899156,
      0.4176379931211012,
      0.4150862274860985,
      0.4125595536585955,
      0.410057694218827,
      0.40758037557332344,
      0.40512732792827616,
      0.4026982850373656,
      0.4002929842573397,
      0.39791116655626046,
      0.39555257644887026,
      0.3932169616559825,
      0.390904073351453,
      0.38861366600614466,
      0.38634549731161766,
      0.38409932823460785,
      0.3818749227192226,
      0.3796720478247275,
      0.37749047361297594,
      0.37532997319180395,
      0.37319032263523383,
      0.37107130070440236,
      0.36897268910546044,
      0.3668942723195933,
      0.36483583733450536,
      0.3627971740665142,
      0.36077807489645813,
      0.3587783349721819,
      0.3567977519303025,
      0.35483612585075847,
      0.35289327409186877,
      0.35096913061027385,
      0.3490636602796482,
      0.3471767798899198,
      0.34530837343123977,
      0.34345830200674554,
      0.34162641139266015,
      0.3398125374517458,
      0.3380165095724283,
      0.3362381532404229,
      0.33447729179026836,
      0.3327337478014761,
      0.33100734396655473,
      0.3292979035354069,
      0.32760525083448533,
      0.3259292116843878,
      0.32426961351431594,
      0.32262628530038245,
      0.32099904533798246,
      0.319387621209613,
      0.3177917195377605,
      0.3162110886783718,
      0.314645507110474,
      0.3130947751318421,
      0.3115587093295763,
      0.3100371381509837,
      0.3085298990552187,
      0.30703683639543694,
      0.3055577998963623,
      0.3040926434928633,
      0.3026412244487804,
      0.3012034031858886,
      0.29977904247318515,
      0.2983680072591675,
      0.29697016453527464,
      0.2955853830522967,
      0.294213533232382,
      0.2928544882929992,
      0.2915081288279967,
      0.29017433768232476,
      0.28885299657635255,
      0.2875439894782969,
      0.2862472224197566,
      0.2849626088426199,
      0.2836900532296566,
      0.28242945395996066,
      0.2811807055284476,
      0.279943699909274,
      0.2787183277561526,
      0.2775044790488928,
      0.27630204358344473,
      0.27511091143471805,
      0.27393097325335963,
      0.2727621203472217,
      0.27160424481498097,
      0.2704572396432948,
      0.2693209988187395,
      0.2681954173277763,
      0.2670803912103199,
      0.26597581759076044,
      0.26488159463530553,
      0.26379762151254327,
      0.2627237984328199,
      0.2616600266524698,
      0.26060620849355776,
      0.259562247392425,
      0.25852804769668064,
      0.257503514732059,
      0.25648855127339093,
      0.2554830414715733,
      0.25448686777416907,
      0.25349992167888774,
      0.2525221012020137,
      0.25155330946583493,
      0.2505934534317223,
      0.2496424429138499,
      0.24870019011232025,
      0.24776660920496105,
      0.24684161600982105,
      0.24592512761475657,
      0.2450170624186474,
      0.24411733989677173,
      0.24322588050955407,
      0.24234260562736082,
      0.2414674375851545,
      0.24060029953679768,
      0.2397411155153839,
      0.23888981025463837,
      0.2380463092541598,
      0.23721053884701435,
      0.23638242618100447,
      0.2355618991134085,
      0.23474888617149184,
      0.23394331659141515,
      0.23314512038501958,
      0.2323542282434952,
      0.23157057148122512,
      0.23079408224921252,
      0.23002469325456032,
      0.22926233786361883,
      0.22850695011813918,
      0.2277584647916286,
      0.22701681729566953,
      0.22628194366442844,
      0.22555378052851735,
      0.2248322651544117,
      0.22411733575292492,
      0.22340893118053684,
      0.22270699073183614,
      0.22201145413666182,
      0.22132226177509093,
      0.220639354652609,
      0.21996267423778726,
      0.2192921625682703,
      0.2186277621934274,
      0.21796941629666364,
      0.2173170685654735,
      0.21667066322851672,
      0.21603014501829226,
      0.21539545927515139,
      0.2147665518501753,
      0.21414336903483963,
      0.21352585774683605,
      0.212913965361621,
      0.21230763982556236,
      0.21170682951648012,
      0.21111148325828255,
      0.21052155586842491,
      0.20993702229642375,
      0.20935785596934497,
      0.20878402354941616,
      0.20821548712957333,
      0.20765220560961462,
      0.20709413570392146,
      0.20654123280066647,
      0.2059934513959035,
      0.2054507454987358,
      0.20491306893254502,
      0.20438037553362862,
      0.20385261915897346,
      0.20332975397378414,
      0.20281173438364322,
      0.202298515133138,
      0.20179005118912127,
      0.20128629809542506,
      0.20078721170629873,
      0.20029274821356635,
      0.19980286425114702,
      0.1993175168612674,
      0.1988366634747054,
      0.19836026201977566,
      0.19788827068952283,
      0.19742064810414622,
      0.19695735330966826,
      0.1964983457525702,
      0.19604358517948653,
      0.19559303189426655,
      0.19514664645714958,
      0.1947043898685091,
      0.19426622346120048,
      0.19383210895980652,
      0.1934020084265409,
      0.19297588432306914,
      0.1925536994844612,
      0.19213541705651446,
      0.19172100057392077,
      0.1913104139511889,
      0.19090362133445132,
      0.19050058731063257,
      0.19010127674918553,
      0.1897056549247813,
      0.18931368732329296,
      0.1889253399066727,
      0.18854057883232628,
      0.18815937061868598,
      0.1877816821210347,
      0.18740748059774462,
      0.18703673352339958,
      0.1866694086701595,
      0.1863054740626385,
      0.18594489817550425,
      0.18558764977661915,
      0.18523369783476182,
      0.18488301163173246,
      0.18453556074820296,
      0.18419131512707712,
      0.183850244947341,
      0.18351232058785474,
      0.18317751279546185,
      0.18284579261259276,
      0.18251713135691716,
      0.182191500538367,
      0.18186887189136558,
      0.1815492022211215,
      0.18123243911317452,
      0.18091853160110263,
      0.18060740800919334,
      0.18029900042506378,
      0.1799932537734276,
      0.1796901223867856,
      0.17938956746501855,
      0.1790915551336852,
      0.17879605513223024,
      0.17850303993541344,
      0.1782124839745125,
      0.1779243632605768,
      0.1776386548351577
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.99222457422678,
      10.791140879511316,
      10.581410152926077,
      10.365048892873675,
      10.144059461976955,
      9.920237586612478,
      9.69518574891678,
      9.470372298154317,
      9.247149381724237,
      9.026715828828134,
      8.81009609410538,
      8.598119538943326,
      8.391408079406146,
      8.190375504377382,
      7.995237324835763,
      7.80602902398555,
      7.622629522548333,
      7.444785224782681,
      7.272140840319366,
      7.104270362331713,
      6.94070442570701,
      6.780949038988542,
      6.624503360176425,
      6.470876182698568,
      6.319600048191824,
      6.170245088911492,
      6.022426591447174,
      5.875801921687921,
      5.730078521193755,
      5.58502091928582,
      5.440448070376023,
      5.296247982585548,
      5.152373124315209,
      5.00884352773704,
      4.865741863194882,
      4.723192920376569,
      4.581376108004996,
      4.440530286946637,
      4.300946332354355,
      4.1629582341160765,
      4.0269329682163075,
      3.893259473237877,
      3.762336527499759,
      3.6345591878129584,
      3.510311472671319,
      3.3899572560331612,
      3.273831107258864,
      3.1622309681220027,
      3.055412616304095,
      2.953585978736823,
      2.8569117517527256,
      2.7654973408131363,
      2.679401729822897,
      2.598632129501602,
      2.5231417976979107,
      2.452845320839832,
      2.3876192881192453,
      2.3273145470580348,
      2.2717352029132654,
      2.220623246187252,
      2.173642464341987,
      2.1303839556777833,
      2.0904270297184278,
      2.0533516796385523,
      2.0187522108299834,
      1.9862298109054164,
      1.955443423009764,
      1.926128559654232,
      1.898083945041437,
      1.8711514734763077,
      1.8451997626967627,
      1.8201155023879305,
      1.7958086477857793,
      1.7722151515431888,
      1.749286853683123,
      1.726981120933757,
      1.7052604695288274,
      1.6840919473635285,
      1.6634465927561253,
      1.6432995094012093,
      1.6236281933948522,
      1.6044118422887148,
      1.5856315791938087,
      1.5672705661376598,
      1.5493128895222317,
      1.531743343855125,
      1.5145475098989631,
      1.4977123412992268,
      1.4812256067404577,
      1.4650753667641745,
      1.4492500171221563,
      1.4337383181866885,
      1.4185294133531348,
      1.4036129510616953,
      1.3889793539615938,
      1.3746194184414846,
      1.36052421683792,
      1.34668511181618,
      1.3330937640309783,
      1.3197421347616767,
      1.3066224843943042,
      1.2937273688356878,
      1.2810496329341394,
      1.2685824030250379,
      1.25631907837036,
      1.2442533215076064,
      1.2323790484308728,
      1.2206903475989233,
      1.2091813126632758,
      1.1978464205185815,
      1.1866805470597424,
      1.1756791181931452,
      1.1648377459764854,
      1.1541521391440595,
      1.1436181132432344,
      1.133231596741959,
      1.1229886349489846,
      1.1128853921080024,
      1.102918151259484,
      1.093083314003928,
      1.083377398684418,
      1.0737970379960897,
      1.064338976517822,
      1.0550000675906266,
      1.0457772699824295,
      1.0366676445216638,
      1.0276683517440257,
      1.0187768770563788,
      1.0099911044720633,
      1.0013093351698195,
      0.9927298613571451,
      0.9842509887426489,
      0.9758713372371534,
      0.9675895549260389,
      0.9594045260515677,
      0.9513151059906401,
      0.9433199828087084,
      0.935417729067783,
      0.9276068413194277,
      0.9198857526722326,
      0.9122528414470065,
      0.90470648489914,
      0.8972450764674313,
      0.889867032199521,
      0.8825707948720641,
      0.8753548371480427,
      0.8682176639418705,
      0.8611578136008256,
      0.8541738584755131,
      0.8472644052466601,
      0.8404280944582739,
      0.8336636004867563,
      0.8269696310896464,
      0.8203449264391081,
      0.8137882585113524,
      0.8072984304813418,
      0.8008742759259792,
      0.7945146574836578,
      0.7882184665010423,
      0.781984622043322,
      0.7758117278673956,
      0.7696981788307099,
      0.7636428541218215,
      0.7576448513162461,
      0.7517037921831605,
      0.7458198630441458,
      0.7399935806928496,
      0.7342253891584387,
      0.7285153635138586,
      0.722863317540249,
      0.7172688812208837,
      0.7117315563587898,
      0.706250756804824,
      0.7008258375554407,
      0.6954561157023929,
      0.6901408852798329,
      0.6848794281129607,
      0.6796710216949909,
      0.6745149442433226,
      0.6694104786829526,
      0.6643569153679607,
      0.6593535539328936,
      0.6543997043072685,
      0.6494946877647534,
      0.6446378370447177,
      0.6398284970511303,
      0.6350660244785148,
      0.6303497880715551,
      0.6256792317508686,
      0.6210541059075096,
      0.6164741890869582,
      0.6119391573874284,
      0.6074486162571762,
      0.6030021232121529,
      0.5985992040700004,
      0.5942393646335317,
      0.5899220992349361,
      0.5856468964740984,
      0.5814132434421645,
      0.5772206288009605,
      0.573068545034888,
      0.5689565490623049,
      0.564884520669138,
      0.5608523824701415,
      0.5568599353345252,
      0.5529068962776558,
      0.5489929252233994,
      0.5451176441421611,
      0.5412806502036507,
      0.5374815253037375,
      0.5337198428611409,
      0.5299951724424762,
      0.5263070827390419,
      0.5226551441030529,
      0.5190389300668568,
      0.5154580183595299,
      0.5119119916295007,
      0.5084004379013047,
      0.5049229508454033,
      0.5014791299644573,
      0.4980686790658234,
      0.49469169077165714,
      0.4913482377638425,
      0.4880382517118422,
      0.48476156688684274,
      0.4815179507239129,
      0.4783071255109386,
      0.4751287833637884,
      0.47198259685419064,
      0.46886822664977473,
      0.4657853264980041,
      0.4627335469712023,
      0.4597125379599146,
      0.45672195040791297,
      0.4537614374726227,
      0.45083065549779916,
      0.44792926434386393,
      0.445056927968441,
      0.4422133144707704,
      0.4393980961856019,
      0.4366109498786217,
      0.4338515568916475,
      0.4311196028315201,
      0.4284147777945974,
      0.4257367761097564,
      0.4230852963633578,
      0.4204600414008178,
      0.4178607182547112,
      0.4152870379227886,
      0.4127387154285048,
      0.41021546978263373,
      0.4077170237187607,
      0.4052431039152212,
      0.4027934407369549,
      0.40036776820956116,
      0.39796582389474333,
      0.39558734892157504,
      0.3932320878940694,
      0.39089978875124287,
      0.38859020283408063,
      0.3863030848288934,
      0.38403819256190697,
      0.38179528712778676,
      0.3795741326658887,
      0.37737449629278835,
      0.3751961483177919,
      0.3730388619287062,
      0.37090241318629996,
      0.36878658094615324,
      0.3666911470891786,
      0.3646158961970836,
      0.3625606154605577,
      0.3605250947940993,
      0.3585091267770063,
      0.35651250659833333,
      0.35453503200556924,
      0.35257650313034283,
      0.35063682829324516,
      0.3487159827763504,
      0.34681389094917514,
      0.3449304411811384,
      0.34306549719795754,
      0.3412189060358005,
      0.3393905035128833,
      0.3375801185359713,
      0.3357875755709021,
      0.3340126967620164,
      0.33225530309718954,
      0.3305152155010943,
      0.3287922554279488,
      0.3270862454146209,
      0.32539700931547794,
      0.3237243725259147,
      0.32206816219520434,
      0.3204281465337765,
      0.3188040205509723,
      0.31719551149875996,
      0.31560238184628275,
      0.31402441948316634,
      0.3124614312202256,
      0.31091323753965683,
      0.30937966931415434,
      0.3078605653123942,
      0.30635577027822053,
      0.30486513369082097,
      0.3033885089726179,
      0.30192575263286303,
      0.30047672392976277,
      0.2990412844635586,
      0.29761929792926306,
      0.29621063000203557,
      0.2948151481005981,
      0.293432721320761,
      0.29206322029653664,
      0.2907065173324066,
      0.2893624898847011,
      0.288031021403991,
      0.28671200205283676,
      0.28540534579182975,
      0.2841109629276513,
      0.2828287553636082,
      0.2815586192416748,
      0.2803004469760506,
      0.27905412874960656,
      0.27781955356810467,
      0.2765966098758741,
      0.2753851861045475,
      0.27418517085117766,
      0.27299645338660067,
      0.27181892373218547,
      0.2706524727637768,
      0.26949699233030394,
      0.2683523751964091,
      0.26721851520394063,
      0.26609530733432907,
      0.26498264748156597,
      0.2638804326854938,
      0.2627885610501539,
      0.2617069316653106,
      0.26063544475932554,
      0.2595740015884483,
      0.25852250449414554,
      0.2574808567982459,
      0.25644896102259795,
      0.2554267015842278,
      0.2544139573019097,
      0.25341061645056995,
      0.25241657432028536,
      0.25143173151444337,
      0.25045599264889523,
      0.24948926543431416,
      0.24853146007493543,
      0.2475824888539269,
      0.24664226561139083,
      0.24571070566029193,
      0.24478772560536266,
      0.2438732432169608,
      0.24296717732161052,
      0.24206944760685642,
      0.24117997477225062,
      0.24029868032723914,
      0.2394254865695499,
      0.23856031679542705,
      0.23770309502907774,
      0.23685374599645262,
      0.2360121952410313,
      0.23517836914023596,
      0.23435219486101203,
      0.23353360020345962,
      0.23272251364988375,
      0.23191886445415916,
      0.23112258260622873,
      0.23033359870988437,
      0.2295518441426025,
      0.22877725095044033,
      0.22800975178321609,
      0.22724928013720944,
      0.22649576998959461,
      0.22574915607079932,
      0.22500937377007163,
      0.22427635951417083,
      0.22355005025891794,
      0.22283038344061687,
      0.222117297119592,
      0.22141072988408853,
      0.2207106208194651,
      0.2200169096698595,
      0.2193295367219473,
      0.21864844277980466,
      0.2179735692812431,
      0.21730485822520626,
      0.2166422522034095,
      0.21598569422966318,
      0.2153351279654778,
      0.21469049766766093,
      0.2140517481381234,
      0.21341882461180064,
      0.21279167290041814,
      0.21217023933462928,
      0.21155447079709666,
      0.210944319741705,
      0.21033975939186,
      0.20974076241127113,
      0.20914729431054221,
      0.2085593157154673,
      0.20797678400535755,
      0.20739965430277724,
      0.20682788026352572,
      0.2062614145683522,
      0.20570020947440418,
      0.20514421698314791,
      0.2045933890833801,
      0.20404767791772035,
      0.203507035809776,
      0.20297141536791108,
      0.2024407695772449,
      0.20191505171496685,
      0.20139421550830688,
      0.20087821511567605,
      0.20036700502052462,
      0.19986054016806373,
      0.19935877587443174,
      0.19886166794074878,
      0.19836917262899117,
      0.19788124657568698,
      0.19739784675811536,
      0.19691893063959945,
      0.19644445606210614,
      0.1959743813946099,
      0.19550866530170993,
      0.19504726681864634,
      0.19459014538926359,
      0.1941372609183535,
      0.19368857366025294,
      0.19324404426124694,
      0.1928036336760643,
      0.1923673032383317,
      0.19193501475772431,
      0.19150673035169669,
      0.1910824125071692,
      0.19066202408008073,
      0.1902455282962392,
      0.1898328886771288,
      0.18942406906848286,
      0.18901903373375484,
      0.18861774727090572,
      0.18822017468311852,
      0.187826281183849,
      0.18743603234589187,
      0.18704939415026522,
      0.18666633284551754,
      0.1862868149989709,
      0.18591080745996308,
      0.18553827746414078,
      0.18516919257367268,
      0.18480352060603553,
      0.18444122970355759,
      0.1840822883024159,
      0.18372666516639605,
      0.18337432923081548,
      0.1830252498798052,
      0.1826793967797942,
      0.18233673976502657,
      0.18199724914355978,
      0.18166089539415664,
      0.1813276492457179,
      0.18099748070198168,
      0.18067034347269126,
      0.1803461844765697,
      0.18002495851005773,
      0.1797066021005639,
      0.17939104142618192,
      0.17907821703179705,
      0.17876807989767615,
      0.1784605886318902,
      0.17815570726432617,
      0.17785340397751195,
      0.1775536498407464,
      0.17725641820394922,
      0.17696168402398957,
      0.17666942352799106,
      0.17637961286411044,
      0.17609222181542955,
      0.17580721912954253
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.992205334628782,
      10.791079737038567,
      10.581289565088737,
      10.364855843438953,
      10.14378556430543,
      9.919879494974424,
      9.694743986891602,
      9.469849573831848,
      9.24654995774787,
      9.026044737630293,
      8.809358532274725,
      8.597320554459497,
      8.39055230563221,
      8.189466957600875,
      7.994279271215462,
      7.805023913610704,
      7.621578765389067,
      7.4436890698833835,
      7.270998934096926,
      7.10308180734413,
      6.939467694928988,
      6.779662389944984,
      6.623164966931444,
      6.469484269841138,
      6.318153202246762,
      6.168742539066754,
      6.020868131652347,
      5.8741881584681614,
      5.728410617497943,
      5.58330082405197,
      5.4386786062718375,
      5.294432600842662,
      5.150516018613141,
      5.006949835013835,
      4.863817718416286,
      4.721245635314181,
      4.579413840928229,
      4.438561949062851,
      4.298981456586508,
      4.16100681130205,
      4.0250052576661774,
      3.8913657949210636,
      3.760487291807227,
      3.63276507576845,
      3.508582609690711,
      3.3883029353750933,
      3.272259635119276,
      3.160749543551547,
      3.054027246995794,
      2.9523014347404413,
      2.85573092427959,
      2.7644216387891314,
      2.6784314629378185,
      2.597765892695303,
      2.522376948156044,
      2.452177825035503,
      2.3870442556463822,
      2.3268263550024986,
      2.271326190565247,
      2.220283652589801,
      2.173358885604848,
      2.1301424963223363,
      2.0902139488487057,
      2.0531540670162016,
      2.01855796310969,
      1.9860283177338265,
      1.9552267983641658,
      1.925891088309286,
      1.8978214743744806,
      1.870861024114003,
      1.8448792633101099,
      1.8197635075340834,
      1.7954241822095791,
      1.7717970869968793,
      1.7488344126518,
      1.7264939724241,
      1.704738558552971,
      1.683535423735548,
      1.662855643210028,
      1.6426742466638942,
      1.622968874132335,
      1.603718828011666,
      1.584905072948735,
      1.5665106939136686,
      1.5485198911491023,
      1.5309175429227935,
      1.5136891920593722,
      1.496821523073218,
      1.4803023498948606,
      1.464119832241793,
      1.4482624406524054,
      1.432718990895942,
      1.4174786662069192,
      1.4025311545301544,
      1.387866901069864,
      1.3734767110853452,
      1.3593516600837043,
      1.345483110122812,
      1.331862717503315,
      1.3184824367482655,
      1.3053345200649846,
      1.2924115134080616,
      1.2797062511178698,
      1.2672118483538954,
      1.2549216929747136,
      1.2428294358123522,
      1.2309289813830766,
      1.2192143015090302,
      1.207679448452539,
      1.19631892370389,
      1.1851276301880849,
      1.174101006429977,
      1.1632346660761468,
      1.152524317583343,
      1.1419657744578737,
      1.13155496212327,
      1.1212879216801883,
      1.11116081249733,
      1.1011699126685222,
      1.0913116184015248,
      1.0815824425358622,
      1.0719790121284174,
      1.0624980662646417,
      1.0531364526550548,
      1.0438911246771974,
      1.0347591377233691,
      1.0257377344021608,
      1.01682464139893,
      1.008018093099455,
      0.9993163317468123,
      0.9907176619761818,
      0.9822206576450419,
      0.9738238549443669,
      0.9655260111478392,
      0.957325929729173,
      0.9492222452390887,
      0.9412134766359077,
      0.9332980671129696,
      0.9254744138762965,
      0.9177408703398345,
      0.9100957555343149,
      0.9025374031280499,
      0.8950641729888323,
      0.8876744552490045,
      0.880366672843302,
      0.8731392833509474,
      0.8659907798517655,
      0.8589196913175461,
      0.8519245829573179,
      0.845004055814613,
      0.8381567462871689,
      0.8313813251696116,
      0.8246764974471856,
      0.8180410011183559,
      0.8114736065269491,
      0.8049731152941187,
      0.7985383595165031,
      0.7921682010825024,
      0.785861530501801,
      0.7796171600674409,
      0.7734335111547519,
      0.7673093124602318,
      0.7612435919005225,
      0.7552358730467645,
      0.7492862700357189,
      0.7433952480708725,
      0.7375632462669215,
      0.7317903307008148,
      0.726076303347951,
      0.7204207803265521,
      0.7148232488181808,
      0.7092831071446075,
      0.7037996943702192,
      0.698372311727468,
      0.6930002371733022,
      0.6876827367585884,
      0.682419072310293,
      0.6772085066982989,
      0.6720503079001173,
      0.6669437516234763,
      0.6618881231339896,
      0.6568827184223703,
      0.6519268448698992,
      0.6470198219771011,
      0.6421609815748839,
      0.6373496678264461,
      0.6325852370220038,
      0.6278670864154412,
      0.6231949054599201,
      0.6185684912394331,
      0.6139875298737242,
      0.6094516311755411,
      0.6049603528277068,
      0.6005132178332121,
      0.5961097274552432,
      0.591749369840948,
      0.5874316265957662,
      0.5831559772032379,
      0.5789219023737361,
      0.5747288863089557,
      0.5705764837573908,
      0.5664645774909609,
      0.5623930810539206,
      0.558361786458614,
      0.5543704020787537,
      0.5504185794403643,
      0.5465059323880213,
      0.5426320499861348,
      0.5387965063786287,
      0.5349988672828329,
      0.531238694437424,
      0.5275155493687966,
      0.5238289953174705,
      0.5201785989111797,
      0.5165639311056768,
      0.5129845678313074,
      0.509440090576682,
      0.5059300865051666,
      0.5024541487419291,
      0.4990119916297388,
      0.4956037297164955,
      0.4922294221345346,
      0.4888889892934938,
      0.4855822557571394,
      0.48230898053572985,
      0.4790688781776554,
      0.47586163373455964,
      0.4726869133047151,
      0.46954437136094035,
      0.46643365585548613,
      0.463354411755931,
      0.4603062835589646,
      0.45728891686726536,
      0.4543019598248217,
      0.45134506357564036,
      0.4484178832247698,
      0.44552007800691773,
      0.4426513113259101,
      0.43981125107240593,
      0.4369995696363082,
      0.43421594381818623,
      0.4314600549959316,
      0.4287315889111295,
      0.4260302357372644,
      0.42335569012457075,
      0.420707650992976,
      0.41808582140405914,
      0.4154899084859667,
      0.41291962351362177,
      0.41037468171201763,
      0.40785480218964887,
      0.40535970800193616,
      0.4028891260143931,
      0.4004427867184299,
      0.3980204244060849,
      0.395621776814209,
      0.3932465852043225,
      0.39089459434384854,
      0.3885655524148548,
      0.38625921092614346,
      0.3839753246798792,
      0.38171365164032967,
      0.3794739529327044,
      0.37725599287139444,
      0.3750595387631617,
      0.3728843609939143,
      0.37073023289006846,
      0.36859693068559823,
      0.3664842335186564,
      0.36439192322805347,
      0.36231978443348617,
      0.3602676044922859,
      0.3582351734347697,
      0.3562222838779676,
      0.3542287311974883,
      0.3522543131441124,
      0.3502989051636945,
      0.3483624777257665,
      0.3464449649396931,
      0.3445462613724251,
      0.342666234346194,
      0.3408047328247367,
      0.33896159340337106,
      0.3371366446211502,
      0.3353297101449506,
      0.33354061096460114,
      0.33176916669611034,
      0.3300151965450721,
      0.32827852026439264,
      0.3265589584612207,
      0.3248563330433215,
      0.3231704674882556,
      0.32150116750707114,
      0.3198481427200457,
      0.31821109607643755,
      0.31658977166452595,
      0.3149839433734817,
      0.3133934070235766,
      0.3118179744061362,
      0.3102574691225984,
      0.3087117237872433,
      0.3071805778458578,
      0.30566387611685397,
      0.30416146770567204,
      0.3026732052125669,
      0.30119894419274695,
      0.2997385427776101,
      0.29829186130327423,
      0.2968587621105668,
      0.29543910947730506,
      0.2940327694795773,
      0.29263960976836717,
      0.2912594996046421,
      0.28989230979652436,
      0.2885379126404522,
      0.2871961828324322,
      0.28586701864887554,
      0.2845503377537285,
      0.2832460485181965,
      0.2819540510388874,
      0.28067423990088375,
      0.27940650599002403,
      0.2781507380862651,
      0.276906823785987,
      0.27567465008772873,
      0.2744541040760632,
      0.2732450731588679,
      0.272047445304859,
      0.27086110924314194,
      0.26968595458823563,
      0.26852187196733046,
      0.2673687530353075,
      0.26622649049248714,
      0.2650949780669027,
      0.26397411057567244,
      0.2628637838111039,
      0.2617638947602922,
      0.26067434144631096,
      0.2595950230141692,
      0.25852583965429954,
      0.257466692592824,
      0.2564174840847113,
      0.25537809911943277,
      0.2543484126361473,
      0.25332830968030473,
      0.2523176826583675,
      0.25131642957548006,
      0.25032445268763515,
      0.24934165755071983,
      0.24836795227215536,
      0.24740324708951372,
      0.24644745400700663,
      0.24550048651471884,
      0.2445622593250662,
      0.24363268841865837,
      0.24271169083981975,
      0.24179918464813194,
      0.2408950887969575,
      0.2399993231417601,
      0.23911180846407046,
      0.23823246633292455,
      0.23736121919778141,
      0.23649799026771315,
      0.23564270362235015,
      0.234795284007037,
      0.23395565697377788,
      0.23312374878285028,
      0.23229948651040389,
      0.23148279794200993,
      0.23067361163416789,
      0.22987185681272942,
      0.22907746334966372,
      0.22829036189468016,
      0.22751048379299102,
      0.2267377610561059,
      0.2259721263857838,
      0.2252135132890881,
      0.22446185627271742,
      0.22371709027707448,
      0.22297915092610307,
      0.2222479743467221,
      0.22152349724429923,
      0.2208056569161439,
      0.2200943911781523,
      0.2193896385092196,
      0.21869133813426841,
      0.21799942961342514,
      0.21731385315775653,
      0.21663454957793304,
      0.21596146020947313,
      0.215294527056029,
      0.21463369269312463,
      0.21397890019938295,
      0.2133300931529212,
      0.21268721576937544,
      0.21205021281297096,
      0.2114190333370579,
      0.21079364719126192,
      0.21017402687502407,
      0.20956013727952977,
      0.20895193803100695,
      0.20834938508764497,
      0.20775243206809266,
      0.20716103098562685,
      0.20657513279755194,
      0.20599468788708572,
      0.20541964644099434,
      0.20484995859724003,
      0.20428557459222516,
      0.20372644484468042,
      0.20317252018008028,
      0.20262375173808153,
      0.20208009103400917,
      0.201541489983272,
      0.20100790091433102,
      0.20047927650685904,
      0.19995556993479438,
      0.1994367348325449,
      0.19892272528872346,
      0.19841349581585066,
      0.1979090013469422,
      0.197409197271646,
      0.19691403937242816,
      0.19642348390190623,
      0.19593748743295406,
      0.19545600701518911,
      0.19497900014221048,
      0.1945064247841944,
      0.194038239192977,
      0.19357440210296858,
      0.19311487260239774,
      0.19265961015874272,
      0.19220857467108193,
      0.19176172642203565,
      0.19131902613284518,
      0.19088043479122968,
      0.19044591377245276,
      0.190015424885706,
      0.1895889303457086,
      0.1891663926055443,
      0.18874777457232975,
      0.18833303950631258,
      0.1879221510103428,
      0.18751507299499678,
      0.1871117697468976,
      0.1867122058707075,
      0.1863163463344219,
      0.18592415646494037,
      0.1855356018685214,
      0.18515064854329855,
      0.18476926278949965,
      0.18439141115889549,
      0.18401706055788966,
      0.18364617826287558,
      0.18327873184777418,
      0.18291468917637782,
      0.1825540184084046,
      0.1821966880575011,
      0.18184266687248365,
      0.1814919239101931,
      0.18114442854600213,
      0.18080015045973893,
      0.1804590596613582,
      0.18012112360536817,
      0.17978629238622104,
      0.17945451283497568,
      0.1791257393442515,
      0.17879991791036934,
      0.17847697489174597,
      0.17815684615629523,
      0.17783947909608225,
      0.17752482955155022,
      0.17721285950580182,
      0.17690353449782023,
      0.17659681601116306,
      0.1762926657793642,
      0.17599105032105836,
      0.17569193985803092,
      0.17539530718413573,
      0.17510112705299558,
      0.174809375725985,
      0.1745200305640153,
      0.17423306981437522,
      0.17394847236278388
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.992185952915138,
      10.791018106920417,
      10.58116794191654,
      10.364660996917442,
      10.143508897609282,
      9.919517459783101,
      9.694296955513638,
      9.46932012099906,
      9.24594219747181,
      9.025363574988328,
      8.808609059844535,
      8.596507735781035,
      8.389680707132978,
      8.18854054237378,
      7.993301262386345,
      7.8039967245135005,
      7.620503776403924,
      7.442566507316698,
      7.269828420529399,
      7.10186241726779,
      6.93819786620239,
      6.778340341087772,
      6.621788830367647,
      6.468052227338836,
      6.316663829078176,
      6.1671950315763,
      6.019262241150033,
      5.8725244411662665,
      5.72669020396761,
      5.5815256367602615,
      5.436851457525027,
      5.292556952179938,
      5.148596095334874,
      5.004990831461736,
      4.86182583727851,
      4.719228273202956,
      4.577379271855316,
      4.436519229772662,
      4.29694029435545,
      4.158977398138561,
      4.0229980758522865,
      3.889391404642208,
      3.7585563521763468,
      3.630888512335975,
      3.506770796110284,
      3.3865654127602283,
      3.270604952784777,
      3.1591851331822736,
      3.0525593356126204,
      2.950934995873335,
      2.8544690405107955,
      2.763265892999206,
      2.677382317703115,
      2.5968220735273344,
      2.5215359224670317,
      2.4514356497103806,
      2.386396110955148,
      2.326266080315588,
      2.270845445178972,
      2.2198725071865084,
      2.173004148377851,
      2.129830459333223,
      2.089930851704139,
      2.0528871702654845,
      2.0182952926784457,
      1.985759355794674,
      1.954943720741913,
      1.9255882175875574,
      1.8974946529044252,
      1.8705072843198973,
      1.8444965277683107,
      1.8193503109622282,
      1.7949795270738536,
      1.7713198267313832,
      1.7483237477723592,
      1.7259495447424034,
      1.704160284515442,
      1.6829234246184352,
      1.6622100766879928,
      1.6419951966409334,
      1.622256568567137,
      1.6029735996382761,
      1.5841271842698366,
      1.56570022415291,
      1.547677037969053,
      1.530042591560741,
      1.5127824913025643,
      1.4958831528306962,
      1.4793323021342235,
      1.4631182075875901,
      1.44722942245044,
      1.4316548245209346,
      1.4163836422429956,
      1.4014056087942073,
      1.3867111957750118,
      1.372291220077712,
      1.3581367634307462,
      1.3442391887368959,
      1.3305901499278474,
      1.3171815964191749,
      1.3040057730900017,
      1.2910552176693795,
      1.278322754758106,
      1.2658014893670697,
      1.2534847985732833,
      1.24136632258135,
      1.2294399233583462,
      1.217699460009446,
      1.206138985586874,
      1.1947530222660754,
      1.1835365002071785,
      1.172484870547639,
      1.1615937471353195,
      1.1508588373601838,
      1.1402759519351033,
      1.1298410125200051,
      1.1195500559805391,
      1.1093992366094083,
      1.099384827634196,
      1.0895032198236971,
      1.0797509202882551,
      1.0701245504471415,
      1.060620843710462,
      1.0512366425041488,
      1.041968894619981,
      1.0328146585841667,
      1.023771430934304,
      1.0148373678247753,
      1.0060106604257961,
      0.9972896168639095,
      0.9886727605092439,
      0.9801585135865201,
      0.9717455046747182,
      0.9634324815405536,
      0.9552180221491896,
      0.9471005887657292,
      0.9390785683317062,
      0.9311503028297206,
      0.9233141118920521,
      0.9155682855819626,
      0.9079110965217172,
      0.900340844389917,
      0.8928558628843635,
      0.8854545220519165,
      0.8781352293072046,
      0.8708964301719437,
      0.8637366084419041,
      0.8566542860990664,
      0.8496480227750715,
      0.8427164150803689,
      0.8358580959092549,
      0.8290717333205263,
      0.8223560299674766,
      0.8157097221171169,
      0.8091315787735914,
      0.8026204004020452,
      0.7961750180716004,
      0.7897942927680003,
      0.7834771142193508,
      0.777222068823222,
      0.7710277566214111,
      0.7648931276423496,
      0.7588175997580019,
      0.7528012089980647,
      0.7468443638594137,
      0.7409474953925522,
      0.7351106582688326,
      0.7293336410625946,
      0.723616044990886,
      0.7179573411199982,
      0.7123569112569833,
      0.7068140778031703,
      0.7013281251220311,
      0.6958983145945875,
      0.6905238958742399,
      0.6852041145288875,
      0.6799382176717834,
      0.6747254576763998,
      0.6695650949049956,
      0.664456399970395,
      0.6593986545481585,
      0.6543911520423645,
      0.6494331983377032,
      0.6445241119053494,
      0.6396632238512672,
      0.6348498777813567,
      0.6300834298678409,
      0.625363503796001,
      0.6206899082696844,
      0.6160623408328134,
      0.6114804163618548,
      0.6069436932657764,
      0.6024516922570586,
      0.598003910016752,
      0.5935998286624349,
      0.5892389227282404,
      0.5849206640616527,
      0.5806445253153796,
      0.5764099823776353,
      0.572216587212072,
      0.5680642251137783,
      0.5639528006781148,
      0.5598820970297369,
      0.5558518138973081,
      0.5518615943571115,
      0.5479110436211848,
      0.5439997428062542,
      0.5401272580332191,
      0.536293147305188,
      0.5324969649832522,
      0.5287382649442662,
      0.5250166031701635,
      0.5213315389378667,
      0.5176826361931555,
      0.5140694639934587,
      0.5104915972441485,
      0.5069486166875965,
      0.5034401090885658,
      0.4999658107022339,
      0.496525840893386,
      0.4931202468107755,
      0.489748938627419,
      0.4864117319423986,
      0.4831083777295175,
      0.4798385832410675,
      0.4766020266849939,
      0.4733983678121145,
      0.47022725493262413,
      0.46708833016822665,
      0.4639812326518351,
      0.46090560134092107,
      0.4578610766911369,
      0.4548473016546338,
      0.45186392236301137,
      0.44891058900715874,
      0.44598695589914245,
      0.4430926817353353,
      0.4402274297565014,
      0.4373908677804502,
      0.43458266826087133,
      0.43180250814353666,
      0.4290500689273302,
      0.42632503665087695,
      0.423627101677449,
      0.4209559588129123,
      0.4183113070953754,
      0.4156928498672928,
      0.41310029451948643,
      0.410533352543155,
      0.4079917393559497,
      0.4054751743850627,
      0.4029833808231054,
      0.40051608576844383,
      0.39807301998740774,
      0.3956539178326205,
      0.3932585172657207,
      0.39088655973139697,
      0.38853779016186424,
      0.38621195690846155,
      0.3839088116008601,
      0.3816281091874575,
      0.3793696077762257,
      0.37713306870797114,
      0.37491825645544724,
      0.3727249383736276,
      0.3705528849620824,
      0.3684018696734288,
      0.36627166885309054,
      0.36416206165724224,
      0.3620728301272732,
      0.3600037589628644,
      0.35795463560422314,
      0.35592525021615273,
      0.35391539549834033,
      0.3519248668809717,
      0.3499535067235749,
      0.3480012807078528,
      0.3460681326390579,
      0.3441539632959591,
      0.34225864369560194,
      0.34038202468270823,
      0.33852394348935155,
      0.3366842284846632,
      0.3348627025390726,
      0.3330591853333705,
      0.3312734949396309,
      0.329505448895671,
      0.32775486512071705,
      0.32602156243431707,
      0.3243053609470935,
      0.32260608219833736,
      0.32092347397370125,
      0.3192572205276061,
      0.31760704536930806,
      0.31597270679085776,
      0.314353988265312,
      0.3127506918097573,
      0.3111626332202649,
      0.3095896385506069,
      0.308031541592688,
      0.30648818209554984,
      0.3049594046269055,
      0.30344505769167546,
      0.30194499305335304,
      0.30045906516673515,
      0.29898713082201017,
      0.29752904906199856,
      0.2960846808640546,
      0.2946538890811521,
      0.293236538247931,
      0.29183249467091077,
      0.2904416260395723,
      0.289063801676866,
      0.28769889252663056,
      0.2863467732941747,
      0.2850073426126686,
      0.28368051144475054,
      0.28236618700153726,
      0.2810642690350313,
      0.27977465139303426,
      0.27849722418571354,
      0.2772318752623215,
      0.2759784911180928,
      0.2747369575909227,
      0.2735071605798235,
      0.2722889862657854,
      0.27108232139578203,
      0.2698870536695729,
      0.26870307149253,
      0.26753026417500764,
      0.26636852221032054,
      0.2652177370721363,
      0.2640778012818716,
      0.26294860855509433,
      0.2618300536457796,
      0.2607220323078096,
      0.25962444151392416,
      0.2585371793089171,
      0.2574601447294462,
      0.25639323798126024,
      0.2553363454204622,
      0.254289339879917,
      0.253252102741315,
      0.2522245233262192,
      0.2512064968943087,
      0.2501979232355325,
      0.24919870552013007,
      0.24820874968227488,
      0.24722796388953652,
      0.24625625809670335,
      0.24529354391043098,
      0.24433973426879033,
      0.24339474327799002,
      0.24245848617966367,
      0.24153087924567523,
      0.24061183968875105,
      0.23970128575426747,
      0.238799136446202,
      0.23790531171345713,
      0.23701973239742952,
      0.23614232009327676,
      0.23527299716602235,
      0.23441168688385244,
      0.23355831315949452,
      0.23271280077725026,
      0.2318750753172095,
      0.23104506310773704,
      0.23022269110367138,
      0.2294078871228394,
      0.2286005796909681,
      0.227800697926798,
      0.22700817174731894,
      0.226222931731928,
      0.22544490935753644,
      0.22467403707149858,
      0.22391024790969857,
      0.2231534755364956,
      0.22240365420995184,
      0.22166071872398369,
      0.22092460438989314,
      0.2201952472487687,
      0.21947258382815724,
      0.21875655129481633,
      0.21804708749486928,
      0.21734413086901636,
      0.21664762044621685,
      0.21595749580093412,
      0.21527369713931413,
      0.21459616527331496,
      0.2139248415964294,
      0.2132596679343599,
      0.21260058685507344,
      0.21194754296012874,
      0.2113005010263306,
      0.21065943421736083,
      0.2100243072246667,
      0.20939507898046683,
      0.2087717042908624,
      0.20815413526240528,
      0.20754232234907202,
      0.2069362147947514,
      0.20633576123660974,
      0.20574090991096708,
      0.20515160908685667,
      0.20456780710504274,
      0.20398945248058162,
      0.20341649409503268,
      0.20284888110987262,
      0.20228656318627505,
      0.20172949033756452,
      0.20117761292276642,
      0.2006308818577105,
      0.2000892485097529,
      0.19955266460699284,
      0.19902108244137848,
      0.19849445479371286,
      0.19797273482230074,
      0.19745587614371443,
      0.1969438328134637,
      0.1964365592952887,
      0.1959340105847746,
      0.19543614209286458,
      0.19494290959459737,
      0.19445426934451937,
      0.19397017801563515,
      0.1934905927670116,
      0.1930154710460084,
      0.19254477083695062,
      0.1920784504277368,
      0.19161646863613155,
      0.19115878460501856,
      0.1907053577643912,
      0.1902561480612904,
      0.18981111586104485,
      0.18937022183716,
      0.18893342701505195,
      0.18850069286776533,
      0.18807198123539048,
      0.18764725425833603,
      0.1872264744644628,
      0.1868096048447584,
      0.18639660862550872,
      0.18598744942292425,
      0.1855820913227362,
      0.18518049856713206,
      0.18478263576405102,
      0.1843884679321567,
      0.18399796044554406,
      0.1836110789927243,
      0.18322778951086116,
      0.18284805832490258,
      0.18247185210968256,
      0.18209913772623543,
      0.1817298825040808,
      0.18136405402880998,
      0.18100162022359473,
      0.18064254930425322,
      0.18028680985037174,
      0.1799343705974431,
      0.17958520064972752,
      0.1792392646077936,
      0.17889650823371897,
      0.17855687847469318,
      0.17822032959278336,
      0.1778868142288278,
      0.17755626058548493,
      0.17722859349220016,
      0.17690374561154265,
      0.1765816619521433,
      0.1762622965540603,
      0.1759456100616124,
      0.17563156798326754,
      0.175320139466509,
      0.1750112963280065,
      0.17470501242500464,
      0.17440126302187722,
      0.17410002456896023,
      0.17380127432062284,
      0.17350499027449745,
      0.17321115099894607,
      0.1729197354372794,
      0.17263072286605716,
      0.1723440929310317,
      0.17205982554447943
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.992166403246637,
      10.790955900049873,
      10.581045106246298,
      10.364464057789554,
      10.143229025336883,
      9.91915090834406,
      9.693843917635288,
      9.468783016225816,
      9.245325005289116,
      9.02467108697676,
      8.807846278018369,
      8.595679554228703,
      8.388791638350105,
      8.187594507015291,
      7.992301449790874,
      7.802945518709239,
      7.619402469657748,
      7.441415314881093,
      7.268626949491437,
      7.100609800549049,
      6.936892572503741,
      6.77698053845808,
      6.620372598295206,
      6.466577694103973,
      6.315129671464242,
      6.165600389913404,
      6.017606798197065,
      5.870808683010221,
      5.724915219148644,
      5.579693312611071,
      5.434964588859069,
      5.29061900620872,
      5.146611326266063,
      5.00296448996059,
      4.859764193284185,
      4.717138810659837,
      4.575270385038996,
      4.43440012705595,
      4.294820863108246,
      4.156868036346896,
      4.020909495089234,
      3.887334413276334,
      3.7565418038950704,
      3.6289275360498197,
      3.50487402936958,
      3.3847426594951395,
      3.268865018521923,
      3.1575356957603034,
      3.0510068537157173,
      2.949484656938169,
      2.8531241274756787,
      2.762028170278655,
      2.6762524059217556,
      2.595798833118165,
      2.520616934701584,
      2.4506170631287016,
      2.3856731772821127,
      2.3256326838195753,
      2.270293017644354,
      2.219390894770222,
      2.1725802045471823,
      2.1294505006298627,
      2.089580979950785,
      2.0525546680540416,
      2.0179681819045543,
      1.9854270951916597,
      1.9545984605891409,
      1.925224254253465,
      1.8971077887156231,
      1.8700945272789544,
      1.8440557683590042,
      1.8188800462596917,
      1.7944787253636274,
      1.770787314215155,
      1.7477586974584667,
      1.7253515685546568,
      1.7035292695471407,
      1.682259462463617,
      1.661513358726944,
      1.6412658176600627,
      1.6214947040536385,
      1.6021795361984539,
      1.5833012329696434,
      1.5648424865493287,
      1.546787645246603,
      1.5291217716527739,
      1.5118305431955357,
      1.4949002526871906,
      1.4783183761056655,
      1.4620733005716535,
      1.4461536693698134,
      1.4305484281097391,
      1.4152468557146254,
      1.4002387359549449,
      1.385514570797152,
      1.371065191595064,
      1.3568816883368369,
      1.342955427132807,
      1.3292780613639148,
      1.315841536506691,
      1.3026380915424212,
      1.2896602565447601,
      1.2769008478613837,
      1.2643529611783373,
      1.252009963712509,
      1.2398654854469324,
      1.2279133086560494,
      1.2161472020884265,
      1.204561248061428,
      1.1931499858588546,
      1.181908373460449,
      1.1708318734599326,
      1.1599160992455533,
      1.149156756209396,
      1.1385496519823535,
      1.1280907039997294,
      1.1177759445612996,
      1.1076015232913172,
      1.097563707509326,
      1.0876588824419486,
      1.0778835497445112,
      1.0682343252893636,
      1.0587079369213257,
      1.0493012214522577,
      1.0400111214364411,
      1.0308348691397438,
      1.0217704717990914,
      1.0128160710752023,
      1.0039699827346271,
      0.9952306800648579,
      0.9865964929324201,
      0.9780659118735251,
      0.9696376022678798,
      0.9613100846421688,
      0.9530817632585636,
      0.9449509672596241,
      0.9369159816844215,
      0.9289750703090291,
      0.9211264930645237,
      0.913368490252547,
      0.9056992982338531,
      0.8981171905922734,
      0.8906204811759075,
      0.883207524450607,
      0.8758767159754529,
      0.868626492097175,
      0.8614553295874695,
      0.8543617448258373,
      0.8473442928930596,
      0.840401566990421,
      0.8335321972774028,
      0.8267348498468224,
      0.8200082255889641,
      0.8133510592559794,
      0.8067621185802765,
      0.8002402029429321,
      0.7937841427160574,
      0.7873927981143577,
      0.7810649561396296,
      0.774799224557076,
      0.7685944363605388,
      0.7624498955912924,
      0.7563655531716451,
      0.7503417553144557,
      0.744378921146856,
      0.738477091126706,
      0.7326360378520451,
      0.7268553455474268,
      0.7211344678856025,
      0.7154727689556015,
      0.7098695534187037,
      0.7043240879467529,
      0.6988356167257864,
      0.6934033722932469,
      0.6880265835223419,
      0.6827044810589117,
      0.6774363013997712,
      0.6722212894743567,
      0.6670587005803249,
      0.6619478015794966,
      0.6568878715382555,
      0.6518782020722123,
      0.6469180980093646,
      0.6420068770526887,
      0.6371438698952088,
      0.63232842020381,
      0.627560070513497,
      0.6228386114736686,
      0.6181637561566524,
      0.6135351274475989,
      0.6089522864808491,
      0.6044147531470212,
      0.5999220203113065,
      0.5954735647395996,
      0.5910688544619174,
      0.5867073538190609,
      0.5823885275064273,
      0.578111843044489,
      0.5738768495058727,
      0.5696834342201097,
      0.5655314930570351,
      0.5614208003511086,
      0.557351046852829,
      0.5533218669852484,
      0.549332857661614,
      0.545383591600675,
      0.5414736267851941,
      0.5376025132916572,
      0.5337697976925954,
      0.5299750262924711,
      0.5262177476168162,
      0.5224975138579576,
      0.5188138818177651,
      0.5151664135544464,
      0.5115546771697111,
      0.507978246696275,
      0.5044367023585333,
      0.5009298030174879,
      0.4974576701475528,
      0.49402033961901,
      0.49061771151725403,
      0.4872495927584869,
      0.4839157264166346,
      0.4806158123887466,
      0.4773495220901298,
      0.4741165087042169,
      0.47091641447306165,
      0.4677488754859491,
      0.46461352520497523,
      0.46150999709534246,
      0.45843792606527095,
      0.45539694981523154,
      0.45238670938908043,
      0.4494068498963137,
      0.4464570206961088,
      0.4435368757317821,
      0.4406460735586985,
      0.43778427742295567,
      0.43495115513687926,
      0.43214637920967663,
      0.42936962677571383,
      0.426620579575895,
      0.42389892386430417,
      0.4212043502410489,
      0.4185365537414564,
      0.41589523374980153,
      0.4132800936871788,
      0.41069084121014915,
      0.40812718800561104,
      0.40558884981743437,
      0.40307554624739933,
      0.40058700068651637,
      0.3981229402743583,
      0.39568309596362267,
      0.3932672022830317,
      0.3908749974343275,
      0.38850622306196214,
      0.386160624280781,
      0.3838379495799674,
      0.38153795073051305,
      0.3792603827981939,
      0.37700500410908855,
      0.3747715760919496,
      0.37255986330222524,
      0.370369633373602,
      0.36820065684615083,
      0.3660527072270008,
      0.36392556097864126,
      0.36181899748599056,
      0.359732798874606,
      0.3576667498838339,
      0.3556206380483771,
      0.35359425355358476,
      0.3515873892726071,
      0.34959986588288505,
      0.347631628776154,
      0.34568263290115026,
      0.34375278602981846,
      0.34184196340269934,
      0.33995001812552256,
      0.33807678824895765,
      0.3362221021344469,
      0.3343857820247569,
      0.33256764645517933,
      0.3307675120489343,
      0.32898519474135807,
      0.3272205106921014,
      0.3254732768252364,
      0.32374331112613924,
      0.3220304059562149,
      0.3203342515601208,
      0.3186545475277289,
      0.31699103399175443,
      0.31534348057638184,
      0.31371167826387897,
      0.3120954338301624,
      0.31049456602759706,
      0.30890890247058367,
      0.30733827760688937,
      0.3057825311823033,
      0.30424150734508487,
      0.30271505365013296,
      0.301203020734176,
      0.2997052619113237,
      0.2982216326611719,
      0.29675199059355434,
      0.2952961952789289,
      0.2938541080199262,
      0.29242559192001727,
      0.2910105116895449,
      0.2896087336844472,
      0.28822012580937506,
      0.28684455742441023,
      0.28548190668146095,
      0.28413207838295923,
      0.28279497538052034,
      0.28147049344560887,
      0.2801585288536033,
      0.27885897633853135,
      0.27757172630283883,
      0.27629666637260103,
      0.27503368248232396,
      0.2737826597232371,
      0.27254348307186066,
      0.2713160377481819,
      0.27010020947145075,
      0.26889588476728987,
      0.2677029508946013,
      0.26652129606701513,
      0.26535080947249046,
      0.2641913814864641,
      0.2630429035701238,
      0.2619052681459901,
      0.26077836880698796,
      0.259662100261135,
      0.25855635839442337,
      0.2574610400821156,
      0.25637604330830205,
      0.2553012557911869,
      0.25423654843340954,
      0.2531817988776266,
      0.25213689321220273,
      0.25110172384368745,
      0.25007618791410796,
      0.24906018623132611,
      0.24805362250475396,
      0.24705640278226262,
      0.24606843495863,
      0.2450896285954998,
      0.2441198947469028,
      0.24315914563689064,
      0.24220729469714594,
      0.2412642563923065,
      0.2403299461626986,
      0.23940428051033294,
      0.23848717675731557,
      0.2375785531502696,
      0.23667832882772546,
      0.23578642370093134,
      0.23490275855370632,
      0.2340272549285475,
      0.23315983525663433,
      0.23230042273632256,
      0.23144894135404237,
      0.23060531584388713,
      0.22976947178947468,
      0.22894133543601705,
      0.22812083375887807,
      0.22730789441971339,
      0.2265024458903946,
      0.22570441749020445,
      0.22491373965511602,
      0.22413034340919938,
      0.22335416033405533,
      0.22258512259097116,
      0.22182316302100458,
      0.22106821506910443,
      0.2203202127231485,
      0.21957909061989314,
      0.21884478398750076,
      0.2181172287809926,
      0.2173963615910018,
      0.21668211951645722,
      0.2159744403188897,
      0.21527326236245345,
      0.2145785245815214,
      0.21389016653909776,
      0.21320812852554652,
      0.21253235136716375,
      0.21186279221146115,
      0.21119942365361105,
      0.21054221102158063,
      0.2098911129054924,
      0.2092460833755638,
      0.20860707343197155,
      0.2079740318574107,
      0.20734690623938043,
      0.2067256434786423,
      0.20611018996384523,
      0.20550049204955953,
      0.20489649611407973,
      0.20429814869323057,
      0.20370539655119382,
      0.2031181869299366,
      0.20253646746966034,
      0.20196018621942738,
      0.2013892916618477,
      0.20082373279045104,
      0.2002634590357613,
      0.199708420282096,
      0.19915856692419598,
      0.19861384975997123,
      0.19807422015194057,
      0.1975396298599297,
      0.19701003116760704,
      0.19648537682019368,
      0.19596561996359052,
      0.1954507142249714,
      0.19494061365504153,
      0.19443527282454928,
      0.19393464673156918,
      0.19343869081238996,
      0.19294736089016526,
      0.1924606132647469,
      0.19197840461349994,
      0.19150069214798943,
      0.19102743344166193,
      0.19055858643681817,
      0.1900941094531776,
      0.18963396126113005,
      0.18917810100396965,
      0.18872648819787946,
      0.18827908284760422,
      0.18783584532232783,
      0.1873967363726963,
      0.18696171708560358,
      0.1865307488910059,
      0.18610379364643248,
      0.18568081360838176,
      0.1852617713034481,
      0.18484662966758517,
      0.18443535204687053,
      0.18402790211066802,
      0.18362424381699322,
      0.18322434154414957,
      0.18282816002028132,
      0.18243566422893576,
      0.1820468195444384,
      0.18166159166521176,
      0.18127994662429733,
      0.1809018508142533,
      0.18052727083493128,
      0.18015617374930135,
      0.1797885268445865,
      0.17942429777607877,
      0.1790634544322762,
      0.17870596506820396,
      0.17835178924502318,
      0.17800086474813973,
      0.17765312765504973,
      0.1773085233348705,
      0.17696700130455906,
      0.1766284891987824,
      0.17629291135883865,
      0.17596020654197664,
      0.17563032406051657,
      0.17530322086582883,
      0.1749788596798648,
      0.17465720728832324,
      0.17433823358753128,
      0.17402191077043483,
      0.173708212801177,
      0.1733971148710606,
      0.1730885932027938,
      0.17278262473113296,
      0.17247918710469268,
      0.1721782584358699,
      0.1718798171412599,
      0.17158384207628785,
      0.17129031236596984,
      0.17099920737651406,
      0.17071050680247943,
      0.1704241905261914,
      0.1701402385539698
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.992146676467618,
      10.790893091607163,
      10.580921009021681,
      10.364264969604175,
      10.142945904638122,
      9.918779812657757,
      9.693384863199066,
      9.468238271662395,
      9.244698419296954,
      9.023967342333943,
      8.807070289806141,
      8.59483614765439,
      8.387885274301995,
      8.186629067122661,
      7.991280091263151,
      7.801870597941349,
      7.618275113735761,
      7.440235738221458,
      7.267394752214845,
      7.09932419388098,
      6.935552082618662,
      6.775583284338659,
      6.6189166089671385,
      6.465061046139943,
      6.313550998233697,
      6.163958795222669,
      6.0159019264587545,
      5.8690409760750955,
      5.723085733734204,
      5.577803911185462,
      5.433018058130231,
      5.288618828208599,
      5.144561792217717,
      5.000870914269914,
      4.857632894455693,
      4.714977345893489,
      4.573087281275697,
      4.432204755469297,
      4.292623303076225,
      4.154678903747442,
      4.018739741232453,
      3.885195102577562,
      3.7544439696681606,
      3.626882487274836,
      3.5028926773700224,
      3.382835078557779,
      3.2670402767962297,
      3.155801721307519,
      3.0493703399587186,
      2.947950849106381,
      2.8516963760743543,
      2.760708449137932,
      2.675041520901547,
      2.594695804774573,
      2.5196194808593138,
      2.4497214456376324,
      2.3848747388493154,
      2.324925380590764,
      2.269668327031408,
      2.2188386821085913,
      2.1720873054566336,
      2.1290031784045027,
      2.0891652169617125,
      2.0521576446884464,
      2.0175778615926565,
      1.9850328668522101,
      1.9541924139026874,
      1.9248006334168197,
      1.8966623514655083,
      1.8696242390217688,
      1.8435584732381396,
      1.8183541931476375,
      1.793923241600901,
      1.7702009948367037,
      1.7471406852302322,
      1.724701443718139,
      1.702846887610363,
      1.6815448849008068,
      1.6607667982420327,
      1.6404873744114135,
      1.6206845060268729,
      1.6013378276636083,
      1.5824283427440407,
      1.5639385197436626,
      1.5458526806128678,
      1.5281559915834162,
      1.5108342069577683,
      1.493873667378161,
      1.4772615494638994,
      1.4609861895109149,
      1.4450363349440165,
      1.4294010107596824,
      1.4140695556907246,
      1.3990318129575294,
      1.3842783215404875,
      1.3697999321462906,
      1.355587746356113,
      1.3416331366316734,
      1.327927758346216,
      1.3144635558913595,
      1.3012327643940018,
      1.288227908061658,
      1.2754417959620727,
      1.2628675156784763,
      1.2504984255781375,
      1.2383281464739722,
      1.2263503379778884,
      1.2145587306327537,
      1.2029474352938678,
      1.191511007870727,
      1.1802444350888746,
      1.1691431915530797,
      1.1582028893575147,
      1.1474192308403754,
      1.1367880200838483,
      1.1263051703679683,
      1.115966708962615,
      1.1057687802312204,
      1.0957076463879625,
      1.0857796873817451,
      1.0759813991383884,
      1.0663093921352287,
      1.0567603890251278,
      1.0473312210914445,
      1.038018913237193,
      1.0288212341311807,
      1.0197363005687736,
      1.0107624300623448,
      1.0018980189549482,
      0.9931413112301714,
      0.984490656810381,
      0.9759446289175114,
      0.967501688528335,
      0.9591601801400597,
      0.9509183730882874,
      0.9427744932295467,
      0.9347267462301282,
      0.926773335265916,
      0.9189124729780331,
      0.9111423603516045,
      0.9034612062911711,
      0.8958672640954757,
      0.8883588320131223,
      0.8809342527983057,
      0.8735919126845112,
      0.8663302407519757,
      0.8591477081404459,
      0.85204282686184,
      0.8450141485261591,
      0.8380602636497112,
      0.8311798002305062,
      0.8243714225133162,
      0.8176338300514057,
      0.810965756410104,
      0.8043659682805292,
      0.7978332643983641,
      0.7913664744759467,
      0.7849644579996365,
      0.7786259641101078,
      0.7723497325163184,
      0.766134944361999,
      0.7599814600198483,
      0.7538895561501383,
      0.7478596343594645,
      0.7418917176137938,
      0.7359855602492802,
      0.730140727948845,
      0.7243566553385793,
      0.7186326875667461,
      0.7129681104061347,
      0.7073621721696175,
      0.7018140988249446,
      0.696323105203209,
      0.6908884028688168,
      0.6855092056945162,
      0.6801847335930685,
      0.6749142153855441,
      0.6696968908183047,
      0.664532011431831,
      0.65941884127936,
      0.6543566578311751,
      0.6493447517468589,
      0.6443824270188954,
      0.6394690011091215,
      0.6346038045717519,
      0.6297862965214828,
      0.6250162488973142,
      0.6202933906982525,
      0.6156173533322914,
      0.6109877007071477,
      0.6064039516020768,
      0.6018655955082818,
      0.5973721037190657,
      0.5929229372302431,
      0.5885175528520857,
      0.5841554070685462,
      0.579835958930518,
      0.5755587542632031,
      0.5713236820749547,
      0.5671306291545849,
      0.5629793609706701,
      0.5588695596790245,
      0.5548008509019943,
      0.5507728228818034,
      0.5467850399521225,
      0.5428370518736924,
      0.538928400463726,
      0.5350586243310393,
      0.5312272622928597,
      0.5274338551029772,
      0.5236779474330542,
      0.5199590888669174,
      0.5162768343957191,
      0.5126307451291215,
      0.5090203882593145,
      0.5054453374739061,
      0.5019053730551662,
      0.4984006185518144,
      0.4949310986260494,
      0.49149670381001065,
      0.48809723219209483,
      0.48473241883451595,
      0.48140195622631254,
      0.4781055089457308,
      0.47484272362403696,
      0.4716132361541206,
      0.46841667665169906,
      0.465252672899547,
      0.4621208527191627,
      0.45902084563505335,
      0.4559522838887368,
      0.45291480329003503,
      0.4499080437818293,
      0.4469316497718776,
      0.4439852702586732,
      0.4410685589817008,
      0.4381811744946463,
      0.43532278003605207,
      0.4324930435782103,
      0.42969163795411985,
      0.4269182403498796,
      0.42417253276547834,
      0.42145420168923975,
      0.4187629379527315,
      0.4160984367916002,
      0.4134603976541336,
      0.4108485243435901,
      0.40826252473115937,
      0.4057021107512564,
      0.40316699837479925,
      0.40065690745845256,
      0.39817156152031963,
      0.39571068790043723,
      0.393274017797113,
      0.3908612859511019,
      0.38847223074032616,
      0.38610659389631086,
      0.3837641206562116,
      0.38144455966436047,
      0.37914766280113277,
      0.3768731853714951,
      0.37462088578870967,
      0.37239052571984144,
      0.3701818697006731,
      0.3679946854408513,
      0.3658287436497507,
      0.3636838180444069,
      0.36155968523452314,
      0.3594561244837176,
      0.35737291803420335,
      0.3553098507996316,
      0.3532667104182145,
      0.35124328718225256,
      0.34923938320347636,
      0.3472549187020354,
      0.34528986026296815,
      0.3433441229440284,
      0.3414175864567638,
      0.33951010632033457,
      0.3376215216396743,
      0.3357516607583509,
      0.33390034520039164,
      0.3320673924377895,
      0.33025261755723695,
      0.3284558347357513,
      0.3266768583141261,
      0.3249155033451284,
      0.32317158589887757,
      0.32144483166217375,
      0.31973491369255114,
      0.3180415522146993,
      0.3163645015469377,
      0.31470354082235963,
      0.31305846738066667,
      0.3114290921069362,
      0.30981523582201265,
      0.30821672729694194,
      0.30663340131913963,
      0.30506509737605236,
      0.3035116589130849,
      0.30197293257793395,
      0.30044876779233165,
      0.2989390164842135,
      0.29744353273747476,
      0.29596217268900954,
      0.2944947944440293,
      0.2930412578307636,
      0.29160142438824066,
      0.2901751573456707,
      0.28876232149146097,
      0.2873627832241682,
      0.2859764104673599,
      0.2846030893387071,
      0.2832427250688074,
      0.2818952160256854,
      0.2805604537709954,
      0.2792383253499809,
      0.27792871773750566,
      0.2766315217117669,
      0.27534662587927705,
      0.27407391660762476,
      0.27281327892682306,
      0.2715645973731344,
      0.2703277565241617,
      0.26910264120197414,
      0.2678891369175402,
      0.26668712983251297,
      0.2654965071170518,
      0.26431715692781366,
      0.26314896843989016,
      0.2619918318681192,
      0.2608456386186076,
      0.25971028109964917,
      0.25858565287909524,
      0.2574716486795771,
      0.2563681641986876,
      0.2552750888361755,
      0.2541922913786377,
      0.2531196456238713,
      0.2520570343745017,
      0.25100434696903,
      0.24996147796842286,
      0.24892832575987967,
      0.24790479169574467,
      0.2468907796243174,
      0.2458861953655514,
      0.24489094651171825,
      0.24390494203001067,
      0.24292809230249293,
      0.2419603088904798,
      0.24100150446815854,
      0.24005159256880354,
      0.23911048784247416,
      0.23817810591007965,
      0.23725436325865298,
      0.2363391773046087,
      0.23543246628178321,
      0.23453414931013628,
      0.23364414627616092,
      0.23276237797028898,
      0.2318887659853752,
      0.23102323265565652,
      0.2301657011126547,
      0.22931609538159517,
      0.2284743401754069,
      0.22764036090728818,
      0.22681408389599847,
      0.22599543620518933,
      0.2251843460577517,
      0.2243807423888336,
      0.22358455475752786,
      0.22279571323485764,
      0.22201414848429077,
      0.22123979185653525,
      0.22047257538499426,
      0.21971243171979407,
      0.21895929408900136,
      0.21821309654187457,
      0.21747377360920395,
      0.21674126052542936,
      0.2160154932363316,
      0.21529640816761964,
      0.21458394246575863,
      0.21387803380842327,
      0.21317862050948394,
      0.2124856492302889,
      0.21179909005884723,
      0.21111890983959017,
      0.21044506761002155,
      0.20977751702488417,
      0.2091162080469416,
      0.208461088254492,
      0.20781210368167058,
      0.20716919939780862,
      0.20653231989239532,
      0.20590140959752304,
      0.20527641279872752,
      0.20465727406729703,
      0.20404393819670852,
      0.20343635030548582,
      0.2028344559534898,
      0.2022382011326608,
      0.2016475323227102,
      0.20106239640848125,
      0.20048274084047435,
      0.19990851349192587,
      0.19933966277180035,
      0.19877613761241725,
      0.1982178874461395,
      0.1976648620818779,
      0.19711701192671907,
      0.1965742878658042,
      0.1960366411949894,
      0.19550402373279788,
      0.19497638775640358,
      0.1944536860661471,
      0.19393587187392594,
      0.1934228988075506,
      0.19291472094179554,
      0.19241129281856278,
      0.19191256953210017,
      0.19141850653634107,
      0.1909290597588981,
      0.19044418550051334,
      0.1899638403864057,
      0.1894879815989642,
      0.18901656674338424,
      0.18854955379100063,
      0.18808690117680063,
      0.18762856773311778,
      0.18717451258652953,
      0.1867246952720193,
      0.1862790758741934,
      0.18583761475055346,
      0.18540027266288223,
      0.1849670106683775,
      0.18453779027887407,
      0.18411257345634352,
      0.1836913224319829,
      0.18327399984445014,
      0.18286056866298414,
      0.18245099222642616,
      0.1820452341816376,
      0.18164325857593627,
      0.18124502974711043,
      0.18085051250741943,
      0.18045967192193382,
      0.180072473329637,
      0.17968888246731946,
      0.17930886542945101,
      0.1789323866583406,
      0.17855940243532886,
      0.17818986899767453,
      0.17782374630220152,
      0.17746098250874776,
      0.1771015144150677,
      0.1767452871644801,
      0.17639225351313892,
      0.17604237058480013,
      0.1756955727668808,
      0.17535178378274321,
      0.17501094183023533,
      0.17467299560330632,
      0.17433790148831974,
      0.1740056214641695,
      0.17367612181278555,
      0.17334937183332158,
      0.1730253430893221,
      0.17270400890649995,
      0.17238534386454488,
      0.1720693234970767,
      0.17175592418631158,
      0.1714451229207689,
      0.17113689714441588,
      0.17083122474764909,
      0.1705280839324273,
      0.17022745324416316,
      0.16992931149042573,
      0.16963363774955365,
      0.16934041129124336,
      0.16904961062059062,
      0.1687611991623469,
      0.16847513357906668,
      0.1681913774204911
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.992126768814067,
      10.790829510796303,
      10.580795193447651,
      10.364063034160779,
      10.142658635543983,
      9.918403102269874,
      9.69291853650427,
      9.467684433850483,
      9.244060785787823,
      9.0232505180396,
      8.806279134682208,
      8.593975449307205,
      8.386959466866294,
      8.185642013501848,
      7.99023493327692,
      7.8007696773200434,
      7.617119550041385,
      7.43902573560522,
      7.266129922443066,
      7.098003752094389,
      6.934174518862526,
      6.7741466736713924,
      6.617418933266339,
      6.463500369386277,
      6.3119259407564705,
      6.162268419903104,
      6.014145820582042,
      5.867219522670845,
      5.721199959621221,
      5.575855656059744,
      5.431010104896739,
      5.286554678464408,
      5.142445780695805,
      4.998708425988463,
      4.855430212958428,
      4.712742027738047,
      4.570828008808604,
      4.429931085313153,
      4.290345528517236,
      4.152407878986742,
      4.01648667616481,
      3.882971336906089,
      3.7522608221389406,
      3.624751544783177,
      3.5008251256269216,
      3.380841262893994,
      3.2651295276671592,
      3.1539822156150654,
      3.047649002548107,
      2.9463329925944435,
      2.8501854182167916,
      2.759306563432559,
      2.673749687234718,
      2.59351319178064,
      2.518543930308308,
      2.4487493188769007,
      2.384001455706666,
      2.3241449546208934,
      2.2689722665952803,
      2.218216749194316,
      2.171526211183486,
      2.128489075495809,
      2.0886839267300057,
      2.051696296548654,
      2.0171244027019672,
      1.9845766519354562,
      1.9537254981496082,
      1.924317228434971,
      1.8961581840253432,
      1.8690962428751678,
      1.8430044554959586,
      1.8177725615289904,
      1.793312924921501,
      1.769560778168302,
      1.7464696677830387,
      1.7239991637337884,
      1.7021131618060603,
      1.6807797380053486,
      1.6599704093664598,
      1.6396598136014453,
      1.6198258712857634,
      1.6004483346235427,
      1.5815082924532904,
      1.5629881209984873,
      1.5448719575558605,
      1.5271450795287629,
      1.5097933234386196,
      1.492803090160139,
      1.4761613916210712,
      1.4598563484739782,
      1.443876821038677,
      1.4282119204696926,
      1.4128510507021268,
      1.3977841200407057,
      1.3830017082648651,
      1.3684946886365295,
      1.3542541774024124,
      1.34027155544929,
      1.326538481824385,
      1.3130469010691752,
      1.2997890456980619,
      1.2867574353491522,
      1.273944872904347,
      1.2613444386821515,
      1.248949483135574,
      1.2367535666509029,
      1.2247502420803693,
      1.212933255552849,
      1.20129674419619,
      1.189835278785658,
      1.1785438741965428,
      1.167418015576078,
      1.1564533121440896,
      1.1456454626590833,
      1.1349902668080258,
      1.1244836330036467,
      1.1141215831602078,
      1.1039002561342504,
      1.0938159085100432,
      1.08386491456081,
      1.07404376461645,
      1.0643490636599549,
      1.0547775286662908,
      1.0453260541468454,
      1.0359921312452287,
      1.0267737884109243,
      1.017669346453116,
      1.0086771120655522,
      0.9997952425908567,
      0.9910219486308633,
      0.9823557099936783,
      0.9737949257471464,
      0.965337877991802,
      0.9569827739779108,
      0.9487277780111103,
      0.9405710354066595,
      0.9325106900265595,
      0.9245448975840641,
      0.9166718326716827,
      0.9088896653722374,
      0.9011965841278183,
      0.8935908267767627,
      0.8860706794474438,
      0.8786344753234195,
      0.8712805934929286,
      0.8640074575360136,
      0.8568135341128255,
      0.8496973317136619,
      0.8426573994262684,
      0.8356923255749301,
      0.8288007363401967,
      0.8219812946194517,
      0.8152326987784744,
      0.808553681452248,
      0.8019430085527953,
      0.7953994780825393,
      0.7889219190627216,
      0.7825092292496305,
      0.776160199601455,
      0.7698738754423023,
      0.7636500343810574,
      0.7574888667808255,
      0.7513907302512824,
      0.745355627523368,
      0.7393832925602959,
      0.7334732704883089,
      0.7276249756538246,
      0.7218377334321516,
      0.7161108096670635,
      0.7104434333451055,
      0.7048348116781504,
      0.699284141074205,
      0.6937906150981896,
      0.6883534301356712,
      0.6829717891602655,
      0.6776449044833334,
      0.6723719996759361,
      0.6671523106462272,
      0.6619850862341603,
      0.6568695888629755,
      0.651805094947437,
      0.6467908944259403,
      0.6418262910723577,
      0.6369106022171013,
      0.6320432257302299,
      0.6272238818243131,
      0.6224523182881928,
      0.6177281764315624,
      0.6130510243942947,
      0.6084203809817575,
      0.6038357324713352,
      0.5992965446565522,
      0.5948022719734793,
      0.5903523638409024,
      0.5859462684133375,
      0.5815834360504137,
      0.5772634088534383,
      0.5729860770564871,
      0.5687513186248685,
      0.564558890062953,
      0.560408464631029,
      0.5562996591820538,
      0.5522320531425201,
      0.5482052025230576,
      0.5442186486228306,
      0.5402719249938203,
      0.5363645622296656,
      0.5324960911055997,
      0.5286660445884812,
      0.5248739598706621,
      0.5211193790350324,
      0.5174018499838468,
      0.5137209267184835,
      0.5100761695327919,
      0.5064671452989498,
      0.502893654049944,
      0.49935582142032386,
      0.4958536612858674,
      0.4923870546956392,
      0.4889557910630546,
      0.48555959747149335,
      0.48219815914452774,
      0.4788711338217967,
      0.4755781615394093,
      0.4723188718838865,
      0.46909288884704503,
      0.4658998342143122,
      0.46273933005846746,
      0.4596110002467552,
      0.45651447162810116,
      0.4534493748033632,
      0.4504153445841951,
      0.4474120201675663,
      0.4444390456124587,
      0.4414960697816726,
      0.4385827463592635,
      0.43569873386822544,
      0.43284369571435805,
      0.430017300078686,
      0.42721921991318296,
      0.4244491327859679,
      0.4217067208552552,
      0.41899167087138783,
      0.41630367392659423,
      0.41364242551274516,
      0.41100762537806146,
      0.40839897753935606,
      0.40581618999185926,
      0.4032589748289246,
      0.40072704818661786,
      0.39822013008989204,
      0.3957379444802613,
      0.39328021889071607,
      0.39084668455613686,
      0.38843707639970193,
      0.3860511328448455,
      0.38368859598711563,
      0.38134921118462406,
      0.37903272716075825,
      0.37673889600839894,
      0.3744674730966089,
      0.3722182170064406,
      0.3699908894448041,
      0.3677852552390304,
      0.3656010821060597,
      0.36343814085724613,
      0.36129620535354495,
      0.3591750521847075,
      0.35707446088659267,
      0.3549942136787679,
      0.3529340955623371,
      0.3508938943200572,
      0.3488734003171093,
      0.34687250500455896,
      0.3448911794632348,
      0.34292934715865014,
      0.3409868930635128,
      0.33906367552055333,
      0.3371595351283391,
      0.3352743005548162,
      0.3334077928651311,
      0.33155982831541214,
      0.32973022056475265,
      0.32791878226240273,
      0.32612532599108335,
      0.324349664721975,
      0.3225915736214425,
      0.320850727122498,
      0.31912682140695414,
      0.3174195925824135,
      0.31572880561156735,
      0.31405424669034265,
      0.3123957177489695,
      0.3107530322927987,
      0.30912601263118783,
      0.30751448796236197,
      0.3059182927995154,
      0.3043372660107656,
      0.3027712501401017,
      0.3012200907007293,
      0.29968363575676615,
      0.2981617358170645,
      0.29665424351929454,
      0.2951610134593033,
      0.2936819021908834,
      0.29221676798859936,
      0.2907654709074741,
      0.28932787255425696,
      0.287903836218814,
      0.2864932267803116,
      0.2850959127922315,
      0.2837117875586576,
      0.2823407543034591,
      0.2809827071884359,
      0.27963753429161237,
      0.278305119885067,
      0.2769853457936027,
      0.2756780927169602,
      0.27438324635444594,
      0.27310069483367766,
      0.27183032412373465,
      0.27057201913807477,
      0.2693256642717654,
      0.2680911439098815,
      0.26686834282003336,
      0.2656571464301166,
      0.26445744085294537,
      0.2632691131666183,
      0.2620920514169857,
      0.26092614475003745,
      0.25977128339430683,
      0.2586273587097941,
      0.25749426316371415,
      0.2563718902456363,
      0.25526012956598765,
      0.2541588500008666,
      0.25306792107978954,
      0.25198722194016576,
      0.25091663888330656,
      0.24985606361829657,
      0.2488053919834807,
      0.24776452294984086,
      0.2467333580676298,
      0.2457118010744875,
      0.24469975735858965,
      0.2436971339993834,
      0.24270383934323003,
      0.24171978301580016,
      0.24074487572199735,
      0.23977902918940297,
      0.2388221562290987,
      0.2378741706728767,
      0.23693498724975165,
      0.23600452157998408,
      0.235082690108005,
      0.2341694102032207,
      0.2332646001746288,
      0.23236817913586108,
      0.23148006689787431,
      0.2306001842711332,
      0.2297284527599557,
      0.228864794717109,
      0.22800913328497122,
      0.2271613923516547,
      0.22632149666213303,
      0.2254893722248206,
      0.2246649457936924,
      0.22384814478533063,
      0.22303889713445937,
      0.2222371314180494,
      0.22144277685427002,
      0.22065576336702195,
      0.21987602155082706,
      0.2191034826381115,
      0.21833807851915885,
      0.21757974172618835,
      0.21682840548289137,
      0.21608400374367706,
      0.21534647105716337,
      0.21461574260968544,
      0.21389175421995743,
      0.2131744440905563,
      0.21246377293772944,
      0.2117597103963086,
      0.21106221666112265,
      0.210371245605125,
      0.20968674664990358,
      0.20900866633930698,
      0.20833694929091387,
      0.20767153889837003,
      0.20701237781241227,
      0.20635940835502933,
      0.2057125728306631,
      0.20507181374777592,
      0.20443707374829162,
      0.20380829576652842,
      0.20318542323964647,
      0.2025684000781315,
      0.20195717053623458,
      0.2013516794012799,
      0.20075187203232744,
      0.2001576943371057,
      0.1995690926108663,
      0.19898601374554295,
      0.19840840504650253,
      0.1978362144578373,
      0.19726939045911374,
      0.19670788191314229,
      0.19615163828390966,
      0.1956006094240719,
      0.195054745605508,
      0.19451399783124004,
      0.19397831747550795,
      0.1934476562817129,
      0.19292196655203098,
      0.1924012010592959,
      0.1918853130623789,
      0.1913742562850483,
      0.19086798483280817,
      0.19036645331465282,
      0.18986961678847883,
      0.18937743073365543,
      0.18888985107575182,
      0.1884068341747594,
      0.18792833678951942,
      0.18745431606898266,
      0.18698472953187817,
      0.1865195353024558,
      0.1860586918138549,
      0.18560215784346074,
      0.18514989263841836,
      0.18470185589036905,
      0.1842580074953072,
      0.18381830792486306,
      0.18338271796360428,
      0.182951198752697,
      0.18252371186041771,
      0.18210021920137517,
      0.18168068304615945,
      0.18126506604498,
      0.18085333118905123,
      0.18044544186212566,
      0.18004136179186606,
      0.17964105022042884,
      0.17924445900071506,
      0.17885154273238243,
      0.1784622595426014,
      0.1780765701009143,
      0.1776944369743549,
      0.1773158242823506,
      0.17694069589539868,
      0.17656899774400106,
      0.17620066870415393,
      0.17583565663464001,
      0.17547391604006418,
      0.17511540615497936,
      0.1747600648927265,
      0.17440781467075162,
      0.1740585915910278,
      0.17371234267411534,
      0.17336902293460632,
      0.17302859327619285,
      0.17269101884163976,
      0.17235626793895367,
      0.1720243112468224,
      0.17169512120716873,
      0.17136867167894304,
      0.17104493755908384,
      0.17072389456024112,
      0.1704055189915214,
      0.17008978756685994,
      0.16977667757130904,
      0.1694661665839398,
      0.16915823259656115,
      0.16885285375205691,
      0.16855000843978007,
      0.16824966863872745,
      0.16795178978231967,
      0.16765633044944908,
      0.1673632554849071,
      0.16707253407109782,
      0.16678413501990996,
      0.16649801277187296,
      0.16621412282019624
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.992106942965568,
      10.790765655890414,
      10.58066836977237,
      10.363859174474115,
      10.14236835659143,
      9.918022115565488,
      9.692446499058788,
      9.467123309173434,
      9.243413970585635,
      9.02252254160182,
      8.805474801222474,
      8.593099506719502,
      8.386016322198854,
      8.184635511735799,
      7.989168204698413,
      7.799645053382461,
      7.615938145202635,
      7.437787749002371,
      7.264834992331123,
      7.0966511100365635,
      6.9327626614415,
      6.772673633672775,
      6.615882646999226,
      6.461898970634599,
      6.3102581096021515,
      6.1605331649100705,
      6.0123426765970125,
      5.86534881811601,
      5.719262679270603,
      5.573853606790863,
      5.428946104392855,
      5.284432232840571,
      5.140269251721404,
      4.996483252449032,
      4.853162748885549,
      4.710439919820885,
      4.568500057429881,
      4.427586993372884,
      4.287995761415015,
      4.150063486167504,
      4.014159082756985,
      3.880672112112889,
      3.7500015233773154,
      3.6225439924647977,
      3.4986807349476567,
      3.3787706054920585,
      3.263142153052469,
      3.1520865090857697,
      3.0458520837106664,
      2.944640355363232,
      2.848600647999062,
      2.7578319801091533,
      2.672386396922459,
      2.592260466907271,
      2.5173996969493264,
      2.447710003723007,
      2.3830623935953144,
      2.3232999288320686,
      2.26821269893824,
      2.217531995600691,
      2.1709025517820693,
      2.1279127770258466,
      2.088140891979487,
      2.051173776326755,
      2.0166104657093586,
      1.9840607401364143,
      1.953199725991994,
      1.9237758436622305,
      1.8955969330202223,
      1.8685120661783856,
      1.8423951316133902,
      1.817136486504983,
      1.7926490943821265,
      1.7688680162406296,
      1.7457470220677251,
      1.7232461236269416,
      1.701329500111261,
      1.6799654399703066,
      1.6591256170088298,
      1.6387846690884667,
      1.6189204152049643,
      1.5995127330346535,
      1.5805428035020972,
      1.5619929791779772,
      1.54384718773506,
      1.5260907634929992,
      1.5087096326336358,
      1.4916902618617738,
      1.4750196603415777,
      1.4586856571986577,
      1.4426771022110525,
      1.4269832050631879,
      1.4115934448147316,
      1.3964978038953855,
      1.3816869101717582,
      1.3671516641264911,
      1.3528832011000314,
      1.3388729141332323,
      1.325112468769653,
      1.3115938122232562,
      1.2983091767685226,
      1.285251078930768,
      1.2724123168087542,
      1.2597859644970015,
      1.247365365719339,
      1.235143982996206,
      1.2231153023002028,
      1.2112730925406126,
      1.1996115168765151,
      1.1881251598295932,
      1.1768090659853316,
      1.1656587310017699,
      1.1546697607182201,
      1.1438378497381128,
      1.133158792858691,
      1.1226284933110622,
      1.1122429678743737,
      1.1019983495325547,
      1.0918908893552586,
      1.0819169559240345,
      1.0720730339769886,
      1.0623557233311203,
      1.052761798953973,
      1.04328853603045,
      1.033933780046358,
      1.0246958518823346,
      1.0155729659742925,
      1.0065631908079935,
      0.9976645999360764,
      0.9888755739759928,
      0.9801944464545397,
      0.9716194336171159,
      0.9631486775624158,
      0.9547802781823241,
      0.9465123177443842,
      0.9383428786356923,
      0.930270056554749,
      0.9222919702103057,
      0.9144067635430564,
      0.9066125816098707,
      0.8989075972664773,
      0.8912900364200558,
      0.8837581758279358,
      0.8763103414848269,
      0.8689449067424201,
      0.8616602908822063,
      0.8544549571325973,
      0.8473274113076286,
      0.8402762002610956,
      0.8332999104675899,
      0.8263971667376967,
      0.8195666308700438,
      0.8128070003981982,
      0.8061170070822379,
      0.799495416217964,
      0.7929410250903826,
      0.7864527555367163,
      0.7800295757055778,
      0.7736704230365815,
      0.7673749830127916,
      0.7611433514667391,
      0.7549758362641172,
      0.7488724160199751,
      0.7428328010317621,
      0.7368565135166959,
      0.7309429456439782,
      0.7250914009105854,
      0.7193011246215852,
      0.7135713252382792,
      0.7079011901166257,
      0.7022898965970263,
      0.6967366197524137,
      0.6912405377353812,
      0.6858008359131113,
      0.6804167095509226,
      0.6750873655642031,
      0.6698120237542853,
      0.6645899173320744,
      0.6594202934963831,
      0.6543024136654425,
      0.6492355534667662,
      0.6442190025897535,
      0.6392520646568914,
      0.6343340854955143,
      0.6294647176176024,
      0.624643729214772,
      0.6198707727571244,
      0.6151454211224918,
      0.6104671931271853,
      0.6058355720635753,
      0.6012500186752416,
      0.59670998085036,
      0.5922149000647837,
      0.5877642162242274,
      0.5833573710754998,
      0.5789939023101983,
      0.5746737005479783,
      0.5703966350544951,
      0.5661624535173438,
      0.5619708202962883,
      0.5578213433691702,
      0.5537135935739346,
      0.5496471179895103,
      0.545621449331399,
      0.5416361129199754,
      0.5376906311431352,
      0.5337845266501903,
      0.5299173245425595,
      0.5260885542826663,
      0.5222977504626755,
      0.5185444534040885,
      0.5148282097432708,
      0.5111485728029173,
      0.5075051024969834,
      0.503897617353688,
      0.5003262446549038,
      0.49679098789271586,
      0.493291718811276,
      0.4898282185865586,
      0.486400206411484,
      0.4830073601117749,
      0.47964933038802743,
      0.4763257507687419,
      0.47303624447803866,
      0.4697804293113159,
      0.46655792109523203,
      0.46336833594822935,
      0.4602112921641759,
      0.4570864110646557,
      0.45399331779021607,
      0.4509316417797096,
      0.44790101724508724,
      0.44490108308431536,
      0.44193148309764135,
      0.43899186610153584,
      0.4360818858394413,
      0.4332012010966793,
      0.430349475460858,
      0.42752637738822935,
      0.42473158006912903,
      0.4219647611929993,
      0.4192256031224114,
      0.4165137929168068,
      0.4138290217996836,
      0.41117098559430576,
      0.408539384348739,
      0.4059339221673103,
      0.40335430745150386,
      0.40080025238114125,
      0.39827147326282525,
      0.39576769032254844,
      0.3932886276034233,
      0.39083401276474866,
      0.38840357739316594,
      0.3859970566562711,
      0.38361418916352596,
      0.3812547169318185,
      0.3789183855072569,
      0.3766049438363465,
      0.3743141441410736,
      0.37204574184868194,
      0.3697994956265755,
      0.36757516742129864,
      0.36537252209480475,
      0.3631913275728366,
      0.3610313547938707,
      0.35889237761100307,
      0.35677417279972373,
      0.35467651991684024,
      0.35259920126533095,
      0.35054200206617986,
      0.3485047101774472,
      0.34648718337434725,
      0.3444893876167962,
      0.34251125644644714,
      0.34055268097245506,
      0.33861352323589095,
      0.3366936257480714,
      0.3347928177466806,
      0.33291091993566274,
      0.3310477477509061,
      0.32920311355946397,
      0.32737682846066,
      0.32556870314982045,
      0.323778541311997,
      0.32200604970134505,
      0.32025089769861925,
      0.318512801181369,
      0.3167915097115117,
      0.31508679742437123,
      0.3133984564731585,
      0.3117262923553848,
      0.31007012065892514,
      0.30842976465681693,
      0.3068050536391329,
      0.3051958218496529,
      0.3036019073995722,
      0.30202315151064635,
      0.30045939841589886,
      0.29891049489988136,
      0.2973762899089992,
      0.29585663467668816,
      0.29435138219260254,
      0.2928603873884491,
      0.2913835069723356,
      0.28992059931840386,
      0.28847152446220553,
      0.2870361441380342,
      0.2856143216806322,
      0.2842059290896469,
      0.282810865747736,
      0.2814290299949947,
      0.2800603121806926,
      0.2787045972072674,
      0.27736176649182304,
      0.2760316995056449,
      0.2747142747197631,
      0.273409370265018,
      0.2721168662293273,
      0.27083664925292755,
      0.2695686058474136,
      0.2683126211725399,
      0.26706857979000187,
      0.26583636623529044,
      0.2646158652569962,
      0.26340696232295446,
      0.2622095436187676,
      0.2610234962639186,
      0.259848708428425,
      0.25868506922308787,
      0.2575324688210172,
      0.2563907984419613,
      0.25525994777118705,
      0.25413978637864953,
      0.2530301794598844,
      0.25193100248893924,
      0.25084213851966913,
      0.24976347641897356,
      0.24869490920967946,
      0.24763633344617497,
      0.24658764832256136,
      0.24554875523492942,
      0.24451955756750718,
      0.24349996026894932,
      0.24248986962479804,
      0.241489193288416,
      0.24049784002366753,
      0.2395157196929243,
      0.23854274321000923,
      0.23757882247116915,
      0.23662387033974705,
      0.23567780063406538,
      0.23474052807976345,
      0.23381196831591267,
      0.23289203785318516,
      0.23198065403434273,
      0.2310777350612355,
      0.23018319997332498,
      0.2292969687178738,
      0.22841896196864986,
      0.22754910127755393,
      0.22668730899996398,
      0.22583350871872748,
      0.22498762498540714,
      0.22414958292489934,
      0.22331930824857338,
      0.22249672737094017,
      0.2216817672870189,
      0.2208743557564864,
      0.22007442122329163,
      0.21928189272472465,
      0.21849670010746122,
      0.2177187738393495,
      0.21694804507751603,
      0.21618444567500816,
      0.21542790808801698,
      0.21467836555229167,
      0.21393575194373535,
      0.2132000136088117,
      0.2124711187451464,
      0.21174903026877978,
      0.21103370310698802,
      0.2103250868627449,
      0.20962312735169922,
      0.20892776794631826,
      0.20823895047789767,
      0.20755661586513502,
      0.20688070458624971,
      0.2062111568441147,
      0.20554791298393313,
      0.20489091342805466,
      0.20424009904362936,
      0.2035954109640849,
      0.20295679079344428,
      0.20232418067204153,
      0.20169752322962722,
      0.2010767615782491,
      0.20046183942112755,
      0.19985270103657743,
      0.1992492910983006,
      0.19865155490414713,
      0.19805943822532177,
      0.19747288738637156,
      0.196891849270578,
      0.196316271340022,
      0.19574610142869237,
      0.19518128794409048,
      0.1946217798033415,
      0.1940675264604258,
      0.19351847787160323,
      0.19297458444976043,
      0.19243579708402414,
      0.19190206714838545,
      0.19137334646098475,
      0.1908495873595676,
      0.19033074263866437,
      0.1898167656030014,
      0.1893076100337196,
      0.18880323000349528,
      0.1883035801379191,
      0.18780861548447372,
      0.18731829158667784,
      0.18683256440714463,
      0.1863513903540487,
      0.18587472611815228,
      0.18540252891820183,
      0.18493475641713555,
      0.18447136674196415,
      0.18401231831420864,
      0.18355756993589686,
      0.18310708083879293,
      0.1826608107861763,
      0.1822187197563671,
      0.18178076811078483,
      0.18134691672497003,
      0.1809171268416968,
      0.1804913545584203,
      0.18006954853507565,
      0.17965166038555766,
      0.17923764539657658,
      0.17882746154453616,
      0.1784210689426457,
      0.17801842928332484,
      0.17761950546472405,
      0.17722426131087116,
      0.17683266147343693,
      0.17644467126026994,
      0.17606025168521072,
      0.17567934335206256,
      0.17530188668709054,
      0.1749278304359479,
      0.17455712944555124,
      0.1741897431185914,
      0.17382561223817855,
      0.17346465831581256,
      0.17310681504670192,
      0.1727520275056718,
      0.17240024904987356,
      0.1720514391310055,
      0.1717055616781575,
      0.1713625840319191,
      0.1710224759554476,
      0.17068520902341278,
      0.17035075636178118,
      0.17001909202419516,
      0.16969019093187457,
      0.1693640286514024,
      0.16904058131483984,
      0.16871982552921289,
      0.16840173821162863,
      0.1680862966289846,
      0.16777347823546757,
      0.16746324473858373,
      0.16715554864132137,
      0.16685035000575976,
      0.16654761441593552,
      0.16624730739123908,
      0.16594937990162556,
      0.1656537847838197,
      0.165360482829551,
      0.16506944071415,
      0.16478062945704916,
      0.16449402333147045,
      0.16420959916843383
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.992087220786185,
      10.790701758795759,
      10.580541095497724,
      10.363654260970506,
      10.142076257175159,
      9.917638347644099,
      9.691970546178963,
      9.466556984686123,
      9.242760540904044,
      9.021786423821602,
      8.804660709840155,
      8.592212118704145,
      8.38505998938096,
      8.183614035074447,
      7.988084679065197,
      7.798501781169431,
      7.614736219863235,
      7.436527353142827,
      7.263515747768027,
      7.095272229821841,
      6.9313227534693205,
      6.771170684716281,
      6.614314548156499,
      6.460263853060652,
      6.308554652962824,
      6.158760338191623,
      6.010499932686245,
      5.863436405100736,
      5.7172815615289805,
      5.571805577319193,
      5.426834012764289,
      5.282259600978128,
      5.138040476019602,
      4.994203828806678,
      4.850839102054183,
      4.708079784579499,
      4.566112345247086,
      4.425181542443948,
      4.285583194525046,
      4.147655030713031,
      4.011766357509055,
      3.878306892660045,
      3.7476755805016584,
      3.620269352744244,
      3.4964690168401127,
      3.376632580785002,
      3.2610875634696006,
      3.150123921613161,
      3.043988786714596,
      2.942881999577189,
      2.846950964163414,
      2.756293415894967,
      2.670959940215141,
      2.5909452881803507,
      2.516193824916702,
      2.4466099559034737,
      2.3820635126404293,
      2.322395926535127,
      2.2673950042903224,
      2.2167897470826747,
      2.170221983066596,
      2.127280053224079,
      2.087542038150972,
      2.0505960135344523,
      2.0160418167989134,
      1.983490738200942,
      1.9526205660909217,
      1.9231818272234797,
      1.894983840467127,
      1.8678768563894834,
      1.841735554514103,
      1.8164509368426123,
      1.7919365828626754,
      1.7681274031976189,
      1.7449773253474006,
      1.7224468022038317,
      1.7005002975236316,
      1.6791063123667942,
      1.6582366785558682,
      1.6378660358593262,
      1.617972102827421,
      1.5985348834641402,
      1.579535650939519,
      1.5609568247204817,
      1.5427820940327008,
      1.52499675674704,
      1.5075868365507665,
      1.4905388727865456,
      1.473839927714225,
      1.4574776384740151,
      1.441440660478401,
      1.4257183125802315,
      1.4103001578549246,
      1.3951762614211278,
      1.3803373052257684,
      1.3657742217122486,
      1.3514781685428443,
      1.3374405538449536,
      1.3236530528002768,
      1.3101076173719701,
      1.2967964808572998,
      1.2837121586912685,
      1.2708474457995396,
      1.2581954114518792,
      1.2457493783161369,
      1.2335026912384963,
      1.2214488149722718,
      1.2095815391353142,
      1.1978950527169263,
      1.1863839542268697,
      1.1750433178819017,
      1.1638686501109292,
      1.1528555528017057,
      1.141999715608184,
      1.1312969283842849,
      1.1207430890006895,
      1.1103342085411114,
      1.1000664145467622,
      1.0899359523127745,
      1.0799391849991673,
      1.0700725920936016,
      1.0603328289819276,
      1.0507170398200036,
      1.0412228783094084,
      1.0318485413827747,
      1.0225921540382712,
      1.0134516969724179,
      1.0044251313295134,
      0.9955107102450319,
      0.9867067013655869,
      0.9780112545688487,
      0.9694224453774726,
      0.9609383078677753,
      0.9525568592370572,
      0.9442761184819616,
      0.9360941193905271,
      0.9280089204849237,
      0.9200186118470945,
      0.9121213135684683,
      0.9043151506661539,
      0.8965982839450831,
      0.8889689300841807,
      0.8814253588031948,
      0.8739658906219979,
      0.8665888946610192,
      0.8592927866431398,
      0.8520760271550004,
      0.8449371199218968,
      0.8378746100511475,
      0.83088708275984,
      0.8239731618306416,
      0.8171315080047709,
      0.8103608179789358,
      0.8036598229943124,
      0.7970272878371927,
      0.7904620752581069,
      0.7839633112534092,
      0.7775299727332701,
      0.7711616395767161,
      0.7648583015333038,
      0.758620208034371,
      0.7524473079871877,
      0.74633928363816,
      0.7402956311095832,
      0.7343157175127506,
      0.7283988228543088,
      0.7225441700046598,
      0.7167509457885798,
      0.7110183167180464,
      0.7053454398206984,
      0.6997314707351967,
      0.6941755689712259,
      0.6886769017787074,
      0.6832346466391129,
      0.6778479933068355,
      0.672516144823709,
      0.6672383183026896,
      0.6620137453326657,
      0.6568416720860524,
      0.6517213593351201,
      0.6466520821776408,
      0.6416331300836624,
      0.6366638067324238,
      0.6317436892271382,
      0.6268725555015838,
      0.6220500709067714,
      0.6172758143975112,
      0.6125493059683408,
      0.6078700265451571,
      0.6032374320733285,
      0.5986509638060595,
      0.5941100556150442,
      0.589614139059114,
      0.5851626468654405,
      0.5807551116524932,
      0.5763914229433799,
      0.5720714419518228,
      0.5677949078103928,
      0.5635614760346932,
      0.559370745681643,
      0.5552222787768044,
      0.551115613753302,
      0.5470502748279974,
      0.5430257787211324,
      0.5390416392501324,
      0.535097370831848,
      0.53119249082913,
      0.5273265207252913,
      0.5234989872002067,
      0.5197094230615352,
      0.5159573677808492,
      0.5122423672814271,
      0.5085639745302263,
      0.5049220241529245,
      0.5013166445129852,
      0.49774782934734413,
      0.49421544157231234,
      0.4907192541239547,
      0.4872589786885468,
      0.4838342860074667,
      0.48044481978407794,
      0.47709020678433117,
      0.4737700637250586,
      0.47048400219595543,
      0.46723163206442286,
      0.4640125636051261,
      0.4608264093029971,
      0.457672784904676,
      0.45455130997648535,
      0.45146160863322604,
      0.4484033096524402,
      0.4453760467889121,
      0.4423794589098806,
      0.4394131898246558,
      0.43647688841899157,
      0.43357020861210377,
      0.4306928092639939,
      0.4278443542622921,
      0.42502451222900584,
      0.4222329565855894,
      0.41946936533989226,
      0.4167334212062431,
      0.4140248113718566,
      0.4113432273676142,
      0.4086883651446043,
      0.4060599248739846,
      0.40345761105486777,
      0.4008811320913335,
      0.3983302004570073,
      0.39580453263398746,
      0.393303849157146,
      0.390827874203906,
      0.3883763357215697,
      0.3859489652780257,
      0.38354549806849225,
      0.3811656729513523,
      0.37880923220817575,
      0.3764759215106217,
      0.3741654898911182,
      0.37187768976803554,
      0.36961227674582886,
      0.3673690096227187,
      0.3651476504019491,
      0.362947964052683,
      0.36076971858014,
      0.3586126849719984,
      0.35647663717437766,
      0.35436135204668684,
      0.35226660924403286,
      0.35019219128165047,
      0.34813788347647,
      0.3461035107936888,
      0.3440890318949795,
      0.3420943905666879,
      0.3401194845325982,
      0.33816417978750135,
      0.3362283205857422,
      0.33431173690261184,
      0.3324142492177793,
      0.33053567213964974,
      0.32867581668018203,
      0.3268344923593046,
      0.3250115080652195,
      0.3232066194170361,
      0.3214194901981848,
      0.3196498126158784,
      0.3178973180827794,
      0.316161766658768,
      0.31444293930369555,
      0.31274063254513007,
      0.31105465440775837,
      0.3093848217306284,
      0.30773095830261343,
      0.30609289307075677,
      0.30447045947186785,
      0.302863494535278,
      0.30127183836567334,
      0.2996953337994903,
      0.29813382595382837,
      0.296587162303186,
      0.2950551923550353,
      0.29353776752107436,
      0.29203474113308925,
      0.2905459683108756,
      0.2890713057962418,
      0.2876106121342267,
      0.28616374733705524,
      0.284730573149627,
      0.2833109690389376,
      0.2819048353576754,
      0.2805120658410238,
      0.27913254695109496,
      0.27776616061028025,
      0.2764127857455444,
      0.27507229951436074,
      0.2737445783058312,
      0.27242949840650343,
      0.2711269364224544,
      0.2698367694717249,
      0.26855888032503894,
      0.26729315615645577,
      0.2660394827280146,
      0.26479774506909226,
      0.26356782801107503,
      0.2623496166432961,
      0.2611429966161691,
      0.25994785419031785,
      0.2587640766942208,
      0.2575915522335753,
      0.2564301698605098,
      0.2552798195034507,
      0.25414037187846567,
      0.2530116875538273,
      0.25189363811524923,
      0.2507861031731541,
      0.24968896850793004,
      0.2486021245429393,
      0.2475254652405298,
      0.2464588874818817,
      0.2454022903671865,
      0.244355574968934,
      0.24331864411712972,
      0.24229140201199298,
      0.24127375418465136,
      0.24026560741095576,
      0.2392668696675337,
      0.23827744992613828,
      0.2372972581290355,
      0.23632620530733114,
      0.2353642034862627,
      0.23441116547920812,
      0.2334670050909908,
      0.23253163706978963,
      0.23160497699840252,
      0.23068694135349707,
      0.22977744747823234,
      0.22887641360889477,
      0.22798375876399612,
      0.22709940278854163,
      0.22622326675705914,
      0.2253552729101085,
      0.22449534407303987,
      0.22364340367435767,
      0.22279937577863113,
      0.22196318523571348,
      0.22113475748895736,
      0.22031401876693057,
      0.21950089594680347,
      0.21869531661073785,
      0.217897209040583,
      0.21710650225318845,
      0.21632312601257306,
      0.21554701071740434,
      0.2147780874684099,
      0.21401628981668092,
      0.21326157504757592,
      0.21251391037133288,
      0.2117732530941195,
      0.2110395536631359,
      0.2103127578567703,
      0.20959280834593466,
      0.20887964550517,
      0.2081732086729096,
      0.20747343632597748,
      0.2067802666320449,
      0.20609363772083042,
      0.2054134878404683,
      0.20473975555185678,
      0.2040723797461311,
      0.2034112997520306,
      0.20275645541916204,
      0.20210778711396937,
      0.2014652356029577,
      0.2008287423316282,
      0.20019824929847696,
      0.19957369907086667,
      0.19895503472669282,
      0.19834219982282142,
      0.19773513850536564,
      0.19713379557116253,
      0.1965381162895128,
      0.19594804649291273,
      0.1953635324788433,
      0.19478452112929945,
      0.19421095991806905,
      0.1936427967036535,
      0.19307997987965383,
      0.19252245839987295,
      0.19197018180557965,
      0.19142310002541552,
      0.19088116344416656,
      0.19034432302384147,
      0.18981253015958682,
      0.18928573677887,
      0.18876389517544884,
      0.18824695816262454,
      0.1877348790373829,
      0.1872276116354954,
      0.186725110070156,
      0.18622732904454492,
      0.1857342236572217,
      0.18524574939988186,
      0.1847618622582616,
      0.1842825186239677,
      0.1838076752840553,
      0.18333728950120431,
      0.18287131892993672,
      0.18240972167441835,
      0.18195245619511957,
      0.18149947861011756,
      0.18105073489522572,
      0.18060617220771705,
      0.18016574195414964,
      0.17972939874212746,
      0.17929709947124375,
      0.17886880286565635,
      0.17844446900049282,
      0.1780240590242972,
      0.1776075350764821,
      0.17719486001748944,
      0.17678599718719967,
      0.17638091057223956,
      0.175979564542911,
      0.175581924037103,
      0.17518794471181795,
      0.1747975628347913,
      0.17441071964884383,
      0.17402736431201254,
      0.17364745170687831,
      0.17327094098467546,
      0.17289777584892155,
      0.17252787681592396,
      0.17216117490668356,
      0.1717976129940559,
      0.17143714260820525,
      0.1710797217544306,
      0.170725313137816,
      0.17037388299121986,
      0.1700254000309325,
      0.16967983498187206,
      0.1693371600467297,
      0.16899734850806805,
      0.16866037451257967,
      0.16832621294767922,
      0.16799483921926417,
      0.1676662291838402,
      0.1673403590698275,
      0.1670172011404488,
      0.16669670945189025,
      0.16637883773179066,
      0.16606354671783205,
      0.16575079878033852,
      0.16544054235842692,
      0.16513272634244094,
      0.16482730838662518,
      0.1645242526601255,
      0.16422352817716862,
      0.1639251074510352,
      0.16362896576577735,
      0.16333508050324225,
      0.1630434305416872,
      0.16275399595914333,
      0.1624667577222142,
      0.16218169744832264
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.992067438588284,
      10.790637553801432,
      10.580413070348792,
      10.363447995700009,
      10.141782069030956,
      9.917251480287607,
      9.691490249992873,
      9.465984975191686,
      9.242100001801623,
      9.021041703547054,
      8.80383646955832,
      8.591312995145305,
      8.384090304861163,
      8.182577569599449,
      7.9869845116908325,
      7.797340200416437,
      7.613514313338727,
      7.435245296857865,
      7.26217315332969,
      7.0938682980405305,
      6.929856108599501,
      6.769639317700939,
      6.612716316177036,
      6.458596957390493,
      6.306817736679488,
      6.156952337358174,
      6.008620230335112,
      5.861485184753625,
      5.715259770127608,
      5.569714995679533,
      5.424677493849468,
      5.280040686964436,
      5.1357636009755145,
      4.991874546084209,
      4.848463905983704,
      4.705666494214229,
      4.563669977480355,
      4.422720062669958,
      4.283113371664291,
      4.14518825431797,
      4.009314422281924,
      3.875881759611561,
      3.7452892119981573,
      3.6179339483411015,
      3.494196376011552,
      3.374433652896473,
      3.2589722619376,
      3.148100975562217,
      3.042065634766008,
      2.9410641655175347,
      2.845242331635461,
      2.7546965686774807,
      2.6694758701419183,
      2.589573165808363,
      2.5149314798342908,
      2.4454537374961016,
      2.3810088978395205,
      2.3214367467092583,
      2.2665227940432873,
      2.2159936533804094,
      2.1694883235601194,
      2.1265948729713458,
      2.0868914514744565,
      2.0499672229550674,
      2.0154227890475664,
      1.9828710271932741,
      1.9519924262943407,
      1.9225395978989412,
      1.8943233243928523,
      1.8671950230078806,
      1.8410301493445154,
      1.8157203422741968,
      1.7911797936303875,
      1.767343397560561,
      1.7441650518718639,
      1.7216056633088128,
      1.69963000406307,
      1.6782067906884939,
      1.6573080149971064,
      1.636908396055666,
      1.6169855254071788,
      1.5975194560287669,
      1.5784915614072832,
      1.5598843339548658,
      1.541681354349664,
      1.5238677353323968,
      1.5064296072804988,
      1.4893535892956127,
      1.4726268025947784,
      1.4562368735256708,
      1.4401721611897467,
      1.424421973392618,
      1.4089759701496303,
      1.3938243102803078,
      1.378957738396735,
      1.3643672257676418,
      1.3500439579749544,
      1.3359793628654235,
      1.322165128567276,
      1.3085932149946637,
      1.2952558593570596,
      1.2821455777095052,
      1.2692551632492404,
      1.2565776819538157,
      1.2441063923455906,
      1.2318345358531355,
      1.2197556032724561,
      1.2078634032479754,
      1.1961521489571554,
      1.1846164513952728,
      1.173251414773195,
      1.1620525556712111,
      1.1510154709811082,
      1.140135844902354,
      1.1294094614622823,
      1.1188322126705383,
      1.108400103693394,
      1.0981092563793982,
      1.0879559103260164,
      1.077936422656536,
      1.0680473297757866,
      1.0582856604530004,
      1.0486489437107462,
      1.03913513678197,
      1.029742275094584,
      1.0204682503234186,
      1.0113109098256232,
      1.0022683787757602,
      0.9933388561833096,
      0.9845204220196124,
      0.9758110821996503,
      0.9672088021714015,
      0.9587115316881945,
      0.9503172234706737,
      0.942023846674927,
      0.9338293970920347,
      0.9257319037588457,
      0.9177294344011364,
      0.9098200899195085,
      0.9020019789569824,
      0.894273253406277,
      0.8866321227758488,
      0.8790768513392373,
      0.871605755371973,
      0.8642172006859651,
      0.8569096003675954,
      0.849681412929118,
      0.8425311403728255,
      0.8354573264795209,
      0.8284585553272686,
      0.8215334497934478,
      0.8146806698922157,
      0.8078989115130426,
      0.801186905311045,
      0.7945434530876551,
      0.7879677068361226,
      0.7814588305438508,
      0.7750163094363448,
      0.7686400165517528,
      0.7623301358083237,
      0.7560865815951049,
      0.7499090049979864,
      0.7437968731572906,
      0.7377495263744923,
      0.7317662193284608,
      0.725846150837074,
      0.7199884850453672,
      0.7141923665442609,
      0.708456931549332,
      0.7027813153534422,
      0.6971646578574027,
      0.6916061075042809,
      0.6861048236061281,
      0.6806599781927236,
      0.6752707573666054,
      0.6699363616112889,
      0.6646560062276063,
      0.6594289215976032,
      0.6542543532799854,
      0.6491315615585832,
      0.6440598216926935,
      0.6390384232436727,
      0.6340668516676295,
      0.6291448643313595,
      0.6242721443781803,
      0.6194482797972698,
      0.6146727938697203,
      0.6099451666002943,
      0.6052648502047022,
      0.6006312800995832,
      0.5960438828809258,
      0.5915020820549284,
      0.5870053016169282,
      0.5825530676156253,
      0.5781452668706327,
      0.5737817531391926,
      0.5694622575607299,
      0.5651864272356673,
      0.5609538525482592,
      0.5567640867308287,
      0.5526166593866031,
      0.5485110859750622,
      0.5444468745116409,
      0.5404235304969657,
      0.5364405600168839,
      0.5324974720421919,
      0.5285937800124754,
      0.5247290029147448,
      0.5209026658102143,
      0.5171143003972061,
      0.5133634454611372,
      0.5096496466791085,
      0.5059727512572223,
      0.5023328886296307,
      0.49873004393167375,
      0.49516407184577493,
      0.4916347375624331,
      0.4881417453535653,
      0.48468475871974126,
      0.48126341462346883,
      0.4778773331790278,
      0.4745261246896968,
      0.4712093944385556,
      0.46792674608968443,
      0.4646777839912882,
      0.46146211472057963,
      0.45827934828317796,
      0.4551290987431883,
      0.4520109846170842,
      0.44892462941534583,
      0.44586966159659985,
      0.44284571474871653,
      0.4398524277690611,
      0.4368894446383565,
      0.43395641439813926,
      0.43105299105260775,
      0.4281788337515518,
      0.42533360646618823,
      0.4225169780992026,
      0.41972862239351816,
      0.41696821758901154,
      0.41423544659009076,
      0.4115299968304533,
      0.40885156019142016,
      0.4061998327961506,
      0.40357451495888036,
      0.40097531123856617,
      0.3984019304450138,
      0.395854085394324,
      0.3933314926927359,
      0.39083387287957466,
      0.3883609502937946,
      0.38591245312219874,
      0.38348811309485836,
      0.3810876654895295,
      0.37871084939365124,
      0.37635740723301175,
      0.3740270848381502,
      0.37171963128529173,
      0.3694347990714923,
      0.3671723439633856,
      0.36493202487529985,
      0.36271360380189666,
      0.36051684593288297,
      0.3583415193901175,
      0.35618739532503085,
      0.3540542476889882,
      0.35194185346569434,
      0.3498499924242067,
      0.3477784471563772,
      0.3457270231068937,
      0.3436956527851999,
      0.3416842921567099,
      0.3396928464925675,
      0.33772118639283466,
      0.33576915881287356,
      0.3338365946268083,
      0.33192331437122863,
      0.33002913199989364,
      0.32815385732456914,
      0.3262972981810773,
      0.32445924806203646,
      0.322639397318222,
      0.3208374109270517,
      0.31905299993460823,
      0.31728590858424693,
      0.31553590549953175,
      0.3138027771159093,
      0.3120863233118229,
      0.31038635401417153,
      0.30870268675348544,
      0.30703514518524894,
      0.3053835577578103,
      0.30374775692909445,
      0.30212757845860116,
      0.30052286112854515,
      0.29893344629513685,
      0.29735917747201707,
      0.295799900503927,
      0.2942554633777818,
      0.2927257157842597,
      0.2912105094085616,
      0.28970969765336985,
      0.2882231356460269,
      0.28675068013480276,
      0.2852921897074963,
      0.283847525802211,
      0.282416575237265,
      0.28099923699067125,
      0.2795954004460274,
      0.2782049486254295,
      0.27682776044018115,
      0.2754637122374669,
      0.2741126790811942,
      0.27277453537712143,
      0.2714491555322233,
      0.270136414433925,
      0.2688361875479657,
      0.26754835118217996,
      0.2662727840485513,
      0.2650093718621907,
      0.26375800154468093,
      0.26251855884128983,
      0.2612909292904385,
      0.2600749983377576,
      0.25887065184355335,
      0.2576777762717889,
      0.25649625894411787,
      0.2553259880920089,
      0.25416683721639866,
      0.253018664711164,
      0.25188133775899824,
      0.25075473232461304,
      0.24963873084260002,
      0.2485332207553834,
      0.2474380933742878,
      0.24635324295765634,
      0.24527856623186262,
      0.24421396195873252,
      0.243159330674879,
      0.24211457451353424,
      0.2410795968911192,
      0.24005430257997185,
      0.23903859741593572,
      0.2380323883402715,
      0.2370355834319749,
      0.2360480917273058,
      0.23506982330969936,
      0.23410068917340046,
      0.23314060128102576,
      0.23218947258560993,
      0.23124721686528724,
      0.23031374877624866,
      0.2293889838322936,
      0.22847283853956665,
      0.22756523016551924,
      0.2266660772353041,
      0.22577529949798106,
      0.22489281745157888,
      0.22401855215040567,
      0.22315242526817022,
      0.22229435929033353,
      0.22144427739062575,
      0.22060210346276327,
      0.21976776209040125,
      0.21894117857030956,
      0.21812227902679338,
      0.217310990299796,
      0.21650723988613407,
      0.21571095602283952,
      0.21492206772178238,
      0.21414051228373707,
      0.2133662543026153,
      0.21259925549159497,
      0.21183946866694278,
      0.21108684043188622,
      0.21034131322551647,
      0.20960282669391486,
      0.2088713187452552,
      0.20814672611412263,
      0.20742898507390042,
      0.20671803159982544,
      0.20601380173438652,
      0.2053162316978891,
      0.20462525807607987,
      0.20394081775407316,
      0.20326284825847477,
      0.2025912875416865,
      0.20192607408587943,
      0.2012671469193505,
      0.20061444567301154,
      0.19996791054983726,
      0.19932748237254722,
      0.19869310249348845,
      0.19806471276991108,
      0.19744225575719687,
      0.19682567454832534,
      0.19621491269134297,
      0.19560991442669248,
      0.19501062441776743,
      0.1944169879283674,
      0.19382895084946192,
      0.19324645961371045,
      0.19266946115007616,
      0.19209790282723163,
      0.19153173256407732,
      0.1909708988273973,
      0.1904153505935915,
      0.18986503737556062,
      0.18931990909891852,
      0.18877991624668014,
      0.18824500975162903,
      0.18771514104279322,
      0.187190261991949,
      0.1866703250015395,
      0.18615528291640257,
      0.1856450890261965,
      0.185139697145604,
      0.1846390615055093,
      0.1841431368240094,
      0.18365187817538017,
      0.18316524111483962,
      0.18268318170311287,
      0.1822056480747599,
      0.18173258178040586,
      0.18126392882542705,
      0.18079963923654782,
      0.18033966588131725,
      0.17988396382029326,
      0.17943248984552693,
      0.17898520206368232,
      0.17854205963688058,
      0.178103022603843,
      0.17766805164050276,
      0.17723710811592724,
      0.1768101538832363,
      0.1763871513015971,
      0.17596806320903635,
      0.17555285282071992,
      0.17514148380670488,
      0.17473392016783648,
      0.174330110786682,
      0.173929989483328,
      0.1735334978548635,
      0.17314058505045427,
      0.17275120566983884,
      0.17236531836989122,
      0.1719828707137755,
      0.17160378229867712,
      0.17122798090140384,
      0.1708554068651597,
      0.17048600971690592,
      0.17011974585078812,
      0.16975657656835705,
      0.16939646679921197,
      0.1690393842556293,
      0.16868529867392798,
      0.16833418129261382,
      0.16798600455265322,
      0.1676407418657534,
      0.16729836727203942,
      0.16695885548162495,
      0.1666221816388653,
      0.1662883116770838,
      0.16595719512418527,
      0.1656287861828145,
      0.16530304446860816,
      0.16497991726345554,
      0.16465934775872854,
      0.1643412892378868,
      0.16402570239027894,
      0.16371255346246838,
      0.1634018128254422,
      0.16309345385019314,
      0.16278745225287816,
      0.16248378550615766,
      0.16218243239091257,
      0.16188337278833628,
      0.1615865873299559,
      0.161292057247672,
      0.16099976422610784,
      0.1607096904157243,
      0.1604218182886189,
      0.16013613052741354
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.99204756066351,
      10.790572729014606,
      10.580283511079626,
      10.363239259900789,
      10.141484444376982,
      9.91685995781255,
      9.691003867314471,
      9.465405409157347,
      9.241430408244604,
      9.020286406742699,
      8.803000117475165,
      8.590400219870846,
      8.383105430430929,
      8.181524381534745,
      7.985866094073123,
      7.796158729269262,
      7.612270785071655,
      7.433939915085068,
      7.260805549817342,
      7.092437685384324,
      6.928361225602117,
      6.768078240174189,
      6.611086899008876,
      6.45689748255108,
      6.305046804510035,
      6.155108845518123,
      6.006703522343742,
      5.85949540465492,
      5.713197838515267,
      5.567582675291512,
      5.422477508638743,
      5.277776485078591,
      5.133439671474633,
      4.989496514995431,
      4.846038352086482,
      4.70320133483565,
      4.5611743464603824,
      4.420204060789263,
      4.280587920975722,
      4.1426649119489065,
      4.0068051628483845,
      3.8733987329286688,
      3.7428445722104455,
      3.6155398807953096,
      3.491864874499747,
      3.3721758553992447,
      3.256798261795435,
      3.1460196705310346,
      3.0400846190860777,
      2.9391890902412596,
      2.8434772138687765,
      2.7530441092590023,
      2.6679371607415843,
      2.5881474582701265,
      2.513616669281019,
      2.4442462246603793,
      2.379904227065509,
      2.3204287997265562,
      2.2656031088243234,
      2.2151513317182796,
      2.1687096195917985,
      2.12586576656434,
      2.086197991061203,
      2.049296451927237,
      2.0147625509663913,
      1.9822108688572908,
      1.9513245924485325,
      1.921858416522956,
      1.8936245855538998,
      1.8664756813777534,
      1.8402879283872102,
      1.8149536006080986,
      1.790387503539463,
      1.7665245178167375,
      1.743318507394943,
      1.7207308320584305,
      1.6987265803435814,
      1.6772746836788843,
      1.65634729320209,
      1.6359192456247085,
      1.6159679929467439,
      1.5964735975083384,
      1.5774175363638687,
      1.5587823778420307,
      1.5405516874447442,
      1.5227103509295699,
      1.5052445286875906,
      1.4881409274912332,
      1.4713867335884268,
      1.4549696212861554,
      1.4388777693652584,
      1.4231002667531716,
      1.4076268823908238,
      1.3924478791585388,
      1.3775540722533075,
      1.362936477550312,
      1.3485863136648888,
      1.3344950320470543,
      1.320654337237315,
      1.307056199688341,
      1.293692862737832,
      1.280556845056396,
      1.2676409396317576,
      1.2549382102919826,
      1.242441799165106,
      1.2301449091445265,
      1.2180410555338812,
      1.2061240650134848,
      1.1943881745979168,
      1.1828280118695682,
      1.1714387105921897,
      1.1602157922038911,
      1.1491548481131828,
      1.138251557108652,
      1.1275016975070355,
      1.116901155033295,
      1.1064459294471913,
      1.096132136568906,
      1.0859560099793115,
      1.0759139680581677,
      1.0660029746288822,
      1.0562205085733491,
      1.046564194839249,
      1.037031881134738,
      1.0276213762961555,
      1.0183304184835817,
      1.0091570082535972,
      1.0000992762778151,
      0.9911552324985548,
      0.9823228125001326,
      0.9735999113945436,
      0.9649844098356866,
      0.9564741925825102,
      0.948067162511524,
      0.939761250530227,
      0.9315544230559712,
      0.9234446866853421,
      0.9154300917087499,
      0.9075087236090162,
      0.8996786775927532,
      0.8919380986469269,
      0.8842851912063497,
      0.8767182152726485,
      0.8692354840467469,
      0.8618353606908689,
      0.8545162562111522,
      0.8472766274495656,
      0.8401149750401644,
      0.8330298418446331,
      0.8260198109581781,
      0.8190835042573986,
      0.8122195812421464,
      0.8054267374143145,
      0.7987037111504006,
      0.7920495771769851,
      0.785463697038913,
      0.7789456007858784,
      0.7724950282766314,
      0.7661120869243713,
      0.7597966489684325,
      0.7535483285232182,
      0.7473665595935549,
      0.7412506524067164,
      0.7351998337050569,
      0.7292132762478358,
      0.723290119816853,
      0.7174294858982669,
      0.7116304885515713,
      0.7058922420589968,
      0.7002138660423244,
      0.6945944892606795,
      0.6890332522058591,
      0.6835293087354581,
      0.6780818269807081,
      0.6726899904521407,
      0.6673529978223148,
      0.6620700633737309,
      0.6568404167676661,
      0.6516633032053174,
      0.6465379829671818,
      0.641463731197103,
      0.6364399377773954,
      0.6314663386877089,
      0.626542635417961,
      0.6216684259076131,
      0.616843237166063,
      0.6120665484009641,
      0.6073378079828591,
      0.6026564454435355,
      0.5980218800476165,
      0.5934335268816178,
      0.5888908010910253,
      0.5843932207602236,
      0.5799406676107386,
      0.57553298896986,
      0.5711699084917792,
      0.5668510651348851,
      0.5625760408032447,
      0.5583443799226935,
      0.5541556032528855,
      0.5500092175074792,
      0.5459047220860883,
      0.5418416138321994,
      0.5378193901887065,
      0.5338375518067122,
      0.5298956040312714,
      0.5259930577032101,
      0.522129430171962,
      0.5183042453008381,
      0.5145170342488338,
      0.5107673353526881,
      0.5070550046648098,
      0.5033801717231111,
      0.4997428142475557,
      0.496142779690094,
      0.4925798261942084,
      0.48905365091124364,
      0.4855639104759039,
      0.48211023503308226,
      0.478692238077252,
      0.475309523410359,
      0.47196169003073324,
      0.4686483355054873,
      0.46536905804146445,
      0.46212345835662827,
      0.45891114054492843,
      0.45573171290547887,
      0.452584788484476,
      0.4494699852565877,
      0.44638692632860977,
      0.44333524003942376,
      0.4403145600083138,
      0.4373245251575073,
      0.43436477968469117,
      0.4314349728073452,
      0.42853475881345693,
      0.4256637970368403,
      0.4228217516819546,
      0.4200082919046794,
      0.4172230916160719,
      0.41446582933887155,
      0.4117361881683036,
      0.4090338558115063,
      0.40635852432500463,
      0.4037098900580246,
      0.4010876536241861,
      0.3984915198762787,
      0.3959211976807048,
      0.3933763999494712,
      0.3908568435735103,
      0.3883622492578915,
      0.38589234153828145,
      0.38344684857199435,
      0.38102550236472205,
      0.37862803851812865,
      0.3762541959810642,
      0.373903717388965,
      0.3715763486699214,
      0.36927183918869105,
      0.36698994151273684,
      0.36473041146197577,
      0.3624930080861911,
      0.36027749346832477,
      0.3580836327350004,
      0.35591119417267014,
      0.3537599490686051,
      0.3516296714792651,
      0.34952013848603414,
      0.3474311299465357,
      0.34536243107284376,
      0.3433139471343676,
      0.34128564671711276,
      0.3392774430852414,
      0.3372892116668691,
      0.33532080199171743,
      0.3333720461577776,
      0.33144276474801226,
      0.32953277095715156,
      0.3276418735286757,
      0.3257698788052511,
      0.32391652861510084,
      0.3220814770313498,
      0.3202644108824027,
      0.31846505602072095,
      0.3166831668034033,
      0.3149185182560885,
      0.3131709009680286,
      0.3114401170839021,
      0.30972597749234804,
      0.3080283000100011,
      0.3063469077658028,
      0.3046816284667997,
      0.30303229339736765,
      0.3013987369887414,
      0.29978079644772937,
      0.2981783114564937,
      0.29659112401831716,
      0.29501907829679896,
      0.2934620204470746,
      0.2919197985667019,
      0.29039226253647726,
      0.2888792641325662,
      0.2873806567359595,
      0.285896295440136,
      0.2844260371751613,
      0.28296974649486395,
      0.28152731588669117,
      0.2800986395785549,
      0.2786836030432237,
      0.27728208611433686,
      0.2758939649844926,
      0.2745191136791302,
      0.27315740503680647,
      0.2718087116070545,
      0.27047290611257085,
      0.2691498616812835,
      0.2678394521930349,
      0.2665415524360539,
      0.2652560384055738,
      0.26398278709618833,
      0.2627216804811886,
      0.2614726060888863,
      0.26023545077837806,
      0.25901010063098473,
      0.25779644167692944,
      0.2565943601492978,
      0.2554037427376084,
      0.25422446703668217,
      0.25305638989058243,
      0.25189937400835904,
      0.2507532914136901,
      0.2496180212085016,
      0.2484934478072271,
      0.24737945966070893,
      0.24627594838873365,
      0.2451828082922766,
      0.24409993584950151,
      0.24302722928250456,
      0.2419645884352864,
      0.2409119146310026,
      0.23986911050885196,
      0.23883607981402377,
      0.2378127275216846,
      0.23679895973587958,
      0.23579468346450497,
      0.2347998068296157,
      0.23381423892480546,
      0.23283788976474243,
      0.23187067036441492,
      0.2309124926690694,
      0.22996326949935056,
      0.22902291466486568,
      0.22809134287683996,
      0.22716846974018987,
      0.22625421239697613,
      0.22534848891570136,
      0.22445121795076362,
      0.2235623188488143,
      0.22268171156605546,
      0.2218093168802291,
      0.2209450562741,
      0.22008885197399058,
      0.21924062697765745,
      0.21840030508488958,
      0.21756781077779466,
      0.21674306933213439,
      0.21592600672776308,
      0.21511654975223143,
      0.21431464279338577,
      0.21352025070226452,
      0.2127333307355877,
      0.21195383181387062,
      0.21118169728028563,
      0.21041686661987807,
      0.20965927680769547,
      0.20890886312536378,
      0.20816555997065658,
      0.20742930137076557,
      0.20670002112497862,
      0.20597765313693947,
      0.20526213159416357,
      0.2045533910339564,
      0.20385136638469487,
      0.2031559931231298,
      0.20246720728043346,
      0.20178494550106077,
      0.20110914498928537,
      0.20043974350832072,
      0.1997766794322952,
      0.1991198917110821,
      0.19846931995176753,
      0.19782490433668004,
      0.1971865856199521,
      0.1965543051514911,
      0.19592800486458337,
      0.19530762718928057,
      0.19469311528557864,
      0.19408441271915713,
      0.19348146376214798,
      0.19288421317450874,
      0.1922926061780657,
      0.1917065886992994,
      0.1911261071563106,
      0.19055110842600803,
      0.18998154000346712,
      0.18941734979445482,
      0.18885848625308121,
      0.1883048984320612,
      0.18775653578080856,
      0.18721334833934034,
      0.1866752866287407,
      0.18614230153068023,
      0.18561434453713868,
      0.18509136763323863,
      0.18457332319473935,
      0.1840601640267962,
      0.1835518432260065,
      0.18304830386768062,
      0.18254948415882258,
      0.18205532757348672,
      0.1815657816980492,
      0.18108079699108462,
      0.18060032605050366,
      0.18012432325755529,
      0.17965274433854922,
      0.17918554610975898,
      0.17872268623908227,
      0.1782641231509111,
      0.17780981589544428,
      0.17735972407135517,
      0.17691380790302336,
      0.17647202796398875,
      0.17603434532127893,
      0.1756007214399353,
      0.1751711181781957,
      0.17474549775824966,
      0.17432382282778144,
      0.17390605630652115,
      0.1734921412516795,
      0.1730820091355353,
      0.1726756015168586,
      0.17227286713242682,
      0.17187376016319475,
      0.1714782387373628,
      0.17108625471330957,
      0.1706977279322917,
      0.1703125822506834,
      0.16993075505103605,
      0.169552193491685,
      0.1691768519519441,
      0.16880469012844232,
      0.1684356715078572,
      0.16806976261799175,
      0.16770693217532212,
      0.16734715045775264,
      0.16699038910304223,
      0.16663662055590803,
      0.1662858180528517,
      0.16593795555894325,
      0.16559299296604857,
      0.1652508771191632,
      0.16491156194340464,
      0.16457499591604097,
      0.16424111709456138,
      0.16390987239002314,
      0.16358121748186344,
      0.16325511468921483,
      0.16293153130049914,
      0.16261043820812737,
      0.16229180913621818,
      0.16197561974526745,
      0.1616618473297606,
      0.1613504704328618,
      0.1610414684913164,
      0.16073482163018107,
      0.16043051061910146,
      0.1601285166084625,
      0.1598288211340767,
      0.15953140602803073,
      0.15923625343233766,
      0.158943345635657,
      0.15865266524140315,
      0.158364194993424,
      0.15807791780583544
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.992027584366886,
      10.790507558992072,
      10.580153221406368,
      10.36302928205084,
      10.141184939032184,
      9.916465790535097,
      9.690513963122733,
      9.464821346880923,
      9.240755255727798,
      9.019524413222708,
      8.802155871306212,
      8.589478306658618,
      8.3821101365962,
      8.180459461399607,
      7.984734607799444,
      7.794962753588401,
      7.611011238921571,
      7.432617010379991,
      7.259418922381798,
      7.090986548725875,
      6.926844352116397,
      6.766493848178584,
      6.609432954736439,
      6.4551723343104905,
      6.303249000745758,
      6.153237239694369,
      6.004757420786996,
      5.857474913526698,
      5.711103848179424,
      5.565416926182761,
      5.42024266527268,
      5.2754759580217305,
      5.131077980433094,
      4.987079332062223,
      4.843572313836945,
      4.70069443022427,
      4.558635797181395,
      4.417644072028052,
      4.278017533133579,
      4.140095812517007,
      4.004249465581442,
      3.870868732772166,
      3.7403525712628585,
      3.6130982070023396,
      3.4894856567671337,
      3.3698703634146367,
      3.254576714695181,
      3.1438910844546086,
      3.0380566970982645,
      2.9372675875484653,
      2.841666243325029,
      2.75134645431967,
      2.6663539822362767,
      2.586678064076325,
      2.5122590002499288,
      2.442996717374854,
      2.3787584957341372,
      2.3193807807333657,
      2.2646443394848066,
      2.214270712503274,
      2.167893237377768,
      2.1250995828935353,
      2.0854680439734805,
      2.0485898124514756,
      2.014066843129844,
      1.981515661492448,
      1.9506221830742547,
      1.9211431683079276,
      1.8928923119508416,
      1.8657233498554888,
      1.8395132644415382,
      1.8141549584264498,
      1.7895638475396765,
      1.7656747976769613,
      1.742441637826257,
      1.7198261782753106,
      1.6977938224346047,
      1.6763137162480268,
      1.6553581705686027,
      1.634902139358392,
      1.6149229846992403,
      1.5954007163908694,
      1.5763169187780655,
      1.557654238414807,
      1.5393962966021175,
      1.5215277605350477,
      1.5040347122125104,
      1.4869039542437006,
      1.470122744427775,
      1.4536788100000095,
      1.4375603520648659,
      1.421756161447556,
      1.4062559358098534,
      1.3910500580190972,
      1.3761294264151063,
      1.3614851117839852,
      1.347108374076732,
      1.3329906949494,
      1.319123800357923,
      1.3054996756618387,
      1.2921105739067624,
      1.278949019270577,
      1.2660078073960646,
      1.2532799642955723,
      1.240758524869284,
      1.228436697878756,
      1.216308021735864,
      1.2043663400914073,
      1.192605912860483,
      1.1810213926602195,
      1.1696079399003558,
      1.1583610712882542,
      1.1472763732009914,
      1.136349519131239,
      1.1255762812586259,
      1.1149525397330502,
      1.1044742880570808,
      1.094137636458317,
      1.083938887057939,
      1.0738749729653063,
      1.063943289686231,
      1.0541412113853639,
      1.0444662855725653,
      1.034916225900445,
      1.0254886648851764,
      1.0161814777226625,
      1.0069927224991324,
      0.9979203375522846,
      0.9889621856948669,
      0.980116089740036,
      0.9713798586084444,
      0.9627513066246862,
      0.9542282678372243,
      0.9458086061709333,
      0.937490222670438,
      0.9292710604774972,
      0.9211491086902833,
      0.9131224037040719,
      0.9051890173222845,
      0.8973470352245896,
      0.8895945972037879,
      0.8819299034621608,
      0.8743512109226493,
      0.8668568302415997,
      0.8594451223596208,
      0.8521144967326829,
      0.8448634088605123,
      0.837690358390034,
      0.830593887291948,
      0.8235725779640034,
      0.8166250517748678,
      0.8097499675465091,
      0.802946020132324,
      0.7962121956957164,
      0.7895478938175778,
      0.7829528256845785,
      0.776426633539348,
      0.7699693383420595,
      0.763580764287411,
      0.7572604840217437,
      0.7510078949034872,
      0.7448222739455508,
      0.7387028179450768,
      0.7326486720633585,
      0.726658950115491,
      0.7207327494007244,
      0.7148691609578368,
      0.7090672768538093,
      0.7033261957264131,
      0.6976450260664089,
      0.6920228888292546,
      0.6864589188279877,
      0.6809522660352745,
      0.6755020961913486,
      0.6701075909007678,
      0.6647679476301456,
      0.6594823801182901,
      0.6542501177784914,
      0.6490704055963002,
      0.643942504092603,
      0.6388657437264593,
      0.6338397853465251,
      0.6288643536814247,
      0.6239390595987494,
      0.6190634357862149,
      0.6142369621696017,
      0.6094590842848931,
      0.6047292262643503,
      0.6000468002844908,
      0.595411213320884,
      0.5908218716646849,
      0.5862782837219015,
      0.5817803237792133,
      0.577327833867142,
      0.5729205307669852,
      0.5685580457466735,
      0.5642399524476636,
      0.559965786652524,
      0.5557350603119038,
      0.5515472713009097,
      0.5474019100320946,
      0.5432984646516636,
      0.5392364240485041,
      0.535215280467933,
      0.5312345307985187,
      0.5272936777587733,
      0.5233922305310083,
      0.5195297052779537,
      0.5157056254941075,
      0.5119195218640548,
      0.5081712548851034,
      0.5044609536058678,
      0.5007885897120714,
      0.4971540042934391,
      0.4935569489067981,
      0.4899971140960983,
      0.48647414976593956,
      0.4829876794358609,
      0.4795373100520964,
      0.47612263899395485,
      0.47274325896067665,
      0.4693987611624637,
      0.4660887376423875,
      0.4628127829404874,
      0.45957049538699546,
      0.4563614774442727,
      0.4531853365245301,
      0.4500416850650143,
      0.4469301407784417,
      0.44385032662081203,
      0.440801870911605,
      0.43778440735101165,
      0.434797574987093,
      0.4318410180309082,
      0.4289143859525316,
      0.4260173332986581,
      0.4231495197407338,
      0.42031060974374285,
      0.41750027274530893,
      0.41471818282873746,
      0.4119640187796473,
      0.4092374638653398,
      0.40653820597262047,
      0.4038659373672441,
      0.401220354685352,
      0.39860115872389934,
      0.39600805448899035,
      0.39344075109437066,
      0.3908989614343622,
      0.3883824025973119,
      0.38589079564712125,
      0.38342386520502125,
      0.3809813396194572,
      0.3785629509358849,
      0.37616843479389406,
      0.37379753035381175,
      0.37144998032826637,
      0.36912553091664285,
      0.3668239314127373,
      0.36454493455293496,
      0.3622882962838896,
      0.36005377576323144,
      0.35784113521145816,
      0.35565013994574096,
      0.3534805581636274,
      0.35133216118796384,
      0.349204723360484,
      0.3470980216601373,
      0.3450118360112166,
      0.3429460361588899,
      0.3409005880841262,
      0.3388754156031122,
      0.3368704007798636,
      0.3348853969604943,
      0.3329202382363101,
      0.33097474581654523,
      0.3290487326310156,
      0.3271420065362983,
      0.3252543559752926,
      0.3233854611289632,
      0.32153498051380575,
      0.31970261868046235,
      0.3178881135440251,
      0.31609122732341394,
      0.3143117401868809,
      0.31254944571534526,
      0.3108041475943739,
      0.3090756571539882,
      0.3073637920016123,
      0.305668374598212,
      0.3039892315363814,
      0.3023261928045371,
      0.3006790913659885,
      0.29904776292393764,
      0.29743204550274915,
      0.2958317793147738,
      0.29424680675954673,
      0.29267697236472995,
      0.2911221223633917,
      0.28958210487266034,
      0.28805676991166823,
      0.2865459691948628,
      0.2850495562218483,
      0.283567386066183,
      0.2820993288521905,
      0.28064527927568667,
      0.279205126921125,
      0.2777787537391362,
      0.27636603650093744,
      0.2749668487226297,
      0.27358106211720157,
      0.2722085475289372,
      0.2708491756338262,
      0.2695028172174193,
      0.2681693437060795,
      0.26684862748226296,
      0.26554054184562725,
      0.2642449611539529,
      0.26296176099189655,
      0.2616908181009721,
      0.2604320112280194,
      0.25918522584747117,
      0.2579503502187062,
      0.2567272714910469,
      0.2555158763574512,
      0.25431604621126264,
      0.25312763951665007,
      0.25195051451250766,
      0.2507845394157756,
      0.24962958994256723,
      0.2484855474167893,
      0.24735229738230746,
      0.2462297288785237,
      0.2451177336644709,
      0.24401620577031785,
      0.2429250411453135,
      0.24184413733747456,
      0.24077339347102664,
      0.23971270992326393,
      0.2386619883744992,
      0.2376211316326665,
      0.23659004369073194,
      0.2355686295964841,
      0.23455679552929368,
      0.23355444860030014,
      0.23256149690995384,
      0.23157784949382937,
      0.23060341642414842,
      0.22963810865962428,
      0.2286818380892847,
      0.2277345175278492,
      0.22679606129925567,
      0.22586638493486078,
      0.22494540463372717,
      0.2240330372083187,
      0.22312920017175672,
      0.22223381176377968,
      0.22134679106753322,
      0.2204680579001422,
      0.2195975327819022,
      0.218735137098541,
      0.2178807929606221,
      0.21703442330717493,
      0.21619595179547627,
      0.21536530285857142,
      0.2145424259193071,
      0.21372728561490248,
      0.2129198354084221,
      0.2121200208519289,
      0.211327782257114,
      0.2105430563148336,
      0.20976577730621812,
      0.20899587821519483,
      0.20823329116101164,
      0.20747794781482454,
      0.20672977976313184,
      0.20598871875574915,
      0.20525469675092303,
      0.20452764622769862,
      0.20380750019483393,
      0.2030941921249215,
      0.20238765604267603,
      0.20168782652582437,
      0.20099463887339983,
      0.20030802894548444,
      0.1996279333229499,
      0.1989542890880425,
      0.19828703397549344,
      0.19762610632218758,
      0.19697144509539788,
      0.1963229897830457,
      0.19568068057836038,
      0.19504445827428754,
      0.19441426418552468,
      0.19379004030138644,
      0.19317172916080264,
      0.19255927384396362,
      0.1919526180675363,
      0.1913517060021374,
      0.19075648237128043,
      0.1901668925267209,
      0.18958288234805945,
      0.1890043982456594,
      0.18843138715296445,
      0.18786379652049992,
      0.18730157434975503,
      0.18674466919100882,
      0.18619302999036513,
      0.1856466062560251,
      0.1851053479978091,
      0.18456920575725494,
      0.18403812075696732,
      0.18351202746405204,
      0.18299086551891072,
      0.1824745788713571,
      0.18196311483257527,
      0.18145642303809925,
      0.1809544549920923,
      0.18045716372041687,
      0.17996450330212757,
      0.17947642887567825,
      0.1789928963436144,
      0.17851386224575314,
      0.17803928381243722,
      0.1775691187662072,
      0.17710332530310854,
      0.17664186213941463,
      0.1761846884076642,
      0.17573176375757887,
      0.17528304815366444,
      0.17483850196653214,
      0.17439808601466147,
      0.17396176149345263,
      0.17352948995644824,
      0.1731012315812603,
      0.1726769254676375,
      0.17225650240558482,
      0.17183990312083092,
      0.17142707560548825,
      0.17101797312689973,
      0.1706125528545958,
      0.17021076984870698,
      0.16981254835345042,
      0.1694178072822126,
      0.1690264802078989,
      0.16863851135513544,
      0.1682538527161721,
      0.1678724619981592,
      0.1674943012030563,
      0.16711933546542335,
      0.16674753220795993,
      0.16637886070003813,
      0.16601329143219762,
      0.16565079600463334,
      0.1652913467778448,
      0.1649348997241479,
      0.16458139924279225,
      0.1642307946276275,
      0.1638830220852022,
      0.1635380192482479,
      0.16319573481917055,
      0.162856125752476,
      0.1625191550292633,
      0.16218479012299847,
      0.1618530020613354,
      0.16152376435525806,
      0.16119705249127303,
      0.16087284331666554,
      0.16055111486874887,
      0.16023184602429444,
      0.1599150163240029,
      0.15960060590755976,
      0.15928859538091378,
      0.15897896562817526,
      0.1586716977963745,
      0.1583667733701583,
      0.15806417401871525,
      0.15776388169794198,
      0.15746587851827204,
      0.15717014673398308,
      0.15687666871387018,
      0.15658542704603537,
      0.15629640455432675,
      0.1560095840866914
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.992007496575333,
      10.790442002333743,
      10.580022131028699,
      10.362817962753525,
      10.140883418013944,
      9.916068801014502,
      9.690020311394884,
      9.46423250913731,
      9.240074214692154,
      9.018755340154648,
      8.801303290773632,
      8.58854675407084,
      8.381103861507873,
      8.17938219036661,
      7.983589376674592,
      7.793751622956063,
      7.60973511958946,
      7.431276103838273,
      7.258012889240313,
      7.089514584843848,
      6.925305211023397,
      6.76488593554037,
      6.607754527331349,
      6.453421709002843,
      6.301424653609076,
      6.151337960206023,
      6.002782461630305,
      5.855424330735058,
      5.708978488879161,
      5.563218498204958,
      5.417973815754168,
      5.2731400947833,
      5.128679637554641,
      4.984624212675965,
      4.841067100682517,
      4.698147173598461,
      4.556055797146318,
      4.41504162667736,
      4.275403790073819,
      4.137482579433854,
      4.0016489854063835,
      3.868293437079197,
      3.737814982419544,
      3.61061078109012,
      3.4870606416258223,
      3.3675191451286186,
      3.25230962320133,
      3.1417172397131106,
      3.0359837158173195,
      2.935301161093305,
      2.8398105981336212,
      2.7496044766546106,
      2.664726922864232,
      2.5851653076479093,
      2.5108585538163526,
      2.441705073188655,
      2.377571316215005,
      2.3182920418306514,
      2.2636454673860498,
      2.2133502410882957,
      2.16703707848946,
      2.124293735801834,
      2.084698596122743,
      2.0478439690828507,
      2.0133323080254635,
      1.9807820760435575,
      1.9498819081377206,
      1.9203906092212806,
      1.8921233089318183,
      1.8649348855842818,
      1.838703066487913,
      1.8133213761673692,
      1.788705836642555,
      1.7647912974057869,
      1.741531551502864,
      1.7188888570901182,
      1.696828930847746,
      1.675321132553148,
      1.6543379324995267,
      1.633854401718742,
      1.6138478713294038,
      1.5942982257854579,
      1.5751871601342164,
      1.556497401825161,
      1.538212630844048,
      1.5203174104116834,
      1.5027976085382468,
      1.485640128050894,
      1.4688323043964042,
      1.4523619222892887,
      1.4362172246363873,
      1.4203869138122178,
      1.404860396618767,
      1.3896281252569458,
      1.3746810935659795,
      1.3600104364873788,
      1.3456074626569874,
      1.3314636901509258,
      1.3175708719765218,
      1.3039210126429865,
      1.290506378362852,
      1.2773195016477543,
      1.264353182276073,
      1.2516003705786392,
      1.2390540246040473,
      1.2267073825438213,
      1.214554004485484,
      1.2025877499012687,
      1.190802901908624,
      1.1791941383858964,
      1.1677566469468208,
      1.1564859388806563,
      1.1453775948196925,
      1.1344272820665033,
      1.1236307671124164,
      1.112983924288693,
      1.102482741429849,
      1.092123417518554,
      1.0819028935437025,
      1.0718184309173944,
      1.0618672245437695,
      1.0520465036303577,
      1.0423537766917996,
      1.0327865980876674,
      1.023342713521839,
      1.0140200867500324,
      1.0048165855792914,
      0.9957300007757153,
      0.9867580823928801,
      0.9778985667593795,
      0.9691491965314875,
      0.9605077351378914,
      0.9519719776476958,
      0.943539757999291,
      0.9352089542011212,
      0.9269774919402858,
      0.9188433463193902,
      0.9108045433200057,
      0.9028591425992574,
      0.8950052228997072,
      0.8872409200803537,
      0.8795644312656529,
      0.8719740109951375,
      0.8644679677195934,
      0.8570446610569787,
      0.8497024991533324,
      0.8424399364600278,
      0.835255471730882,
      0.8281476461942334,
      0.8211150414993454,
      0.8141562785106183,
      0.8072700156846188,
      0.8004551436981537,
      0.7937109883429875,
      0.7870374390035196,
      0.7804342001611325,
      0.7739011903293556,
      0.7674381744349253,
      0.7610446750846075,
      0.7547200466473505,
      0.748463528745729,
      0.7422742846395737,
      0.7361514287272691,
      0.7300940468537191,
      0.724101210144096,
      0.7181719851276526,
      0.7123054406662664,
      0.706500653390478,
      0.7007567106956396,
      0.6950727130663895,
      0.6894477757650754,
      0.6838810300211225,
      0.678371623117339,
      0.6729187190316042,
      0.6675214982144876,
      0.6621791575997594,
      0.6568909103938066,
      0.6516559859512432,
      0.6464736294862039,
      0.6413431108014174,
      0.6362640111560539,
      0.6312360797308375,
      0.6262589410026246,
      0.621332133745519,
      0.6164551388684004,
      0.6116273990698972,
      0.6068483331959382,
      0.6021173463629244,
      0.5974338372783768,
      0.5927972030889285,
      0.5882069409042501,
      0.5836629152362509,
      0.5791649637211521,
      0.5747127969300916,
      0.5703060386890171,
      0.5659442544935103,
      0.5616269716477402,
      0.5573536931767239,
      0.5531239079751712,
      0.5489370977086017,
      0.5447927415600395,
      0.5406903194231196,
      0.5366293148514459,
      0.5326092164008446,
      0.5286295184390277,
      0.5246897218591664,
      0.5207893348788096,
      0.5169278729869763,
      0.5131048590830479,
      0.5093201542161675,
      0.5055738864041969,
      0.5018660225792688,
      0.49819639813578215,
      0.494564758659499,
      0.4909707884252415,
      0.4874141309497042,
      0.48389440322063937,
      0.4804112056096239,
      0.4769641290547601,
      0.47355275979267647,
      0.470176682674327,
      0.4668354835598256,
      0.4635287509540247,
      0.4602560770419676,
      0.4570170584845732,
      0.45381129677448123,
      0.4506383986120255,
      0.4474979761507525,
      0.4443896469610171,
      0.4413130339670774,
      0.4382677655870015,
      0.43525347564345407,
      0.43226980337716364,
      0.42931639333417404,
      0.42639289522932666,
      0.42349896386148206,
      0.42063425910743796,
      0.41779844563753427,
      0.41499119306599247,
      0.4122121757217917,
      0.4094610727274399,
      0.40673756754657614,
      0.4040413482711484,
      0.40137210732654877,
      0.3987295415615701,
      0.3961133518835213,
      0.3935232434046322,
      0.39095892543915284,
      0.3884201112499607,
      0.38590651802721104,
      0.3834178668195958,
      0.3809538824180962,
      0.3785142934723264,
      0.37609883210173467,
      0.37370723404480494,
      0.3713392387097945,
      0.3689945888738504,
      0.3666730305889179,
      0.36437431337127546,
      0.36209819011534095,
      0.3598444168847531,
      0.3576127528086562,
      0.3554029602362574,
      0.35321480459067445,
      0.3510480543029211,
      0.34890248075002595,
      0.3467778581718001,
      0.3446739637187966,
      0.34259062913489685,
      0.34052781484411354,
      0.33848545600120594,
      0.33646344177658083,
      0.334461629857482,
      0.33247985646475603,
      0.33051794367808174,
      0.32857570424834476,
      0.32665294513708015,
      0.32474940400372615,
      0.3228647275242727,
      0.32099859539534975,
      0.31915072648447573,
      0.3173208682684163,
      0.31550878918450165,
      0.31371427315370476,
      0.3119371158106551,
      0.31017712172698336,
      0.3084341022872108,
      0.3067078745403355,
      0.30499825996687147,
      0.30330508388226635,
      0.3016281747746259,
      0.29996736394375023,
      0.2983224853251912,
      0.29669337533390505,
      0.29507987242140177,
      0.2934818171463238,
      0.29189905214831946,
      0.29033142202488627,
      0.28877877312392136,
      0.2872409536326352,
      0.28571781361999976,
      0.2842092047781412,
      0.2827149805745619,
      0.2812350182092057,
      0.2797692122477519,
      0.2783174479063269,
      0.27687960351160645,
      0.27545555279007405,
      0.2740451667055421,
      0.2726483147499136,
      0.27126486569216224,
      0.2698946882083078,
      0.26853765136901075,
      0.26719362493603066,
      0.2658624795704624,
      0.26454408710617217,
      0.26323832038075495,
      0.2619450535137152,
      0.26066416190800384,
      0.2593955221149625,
      0.2581390120072578,
      0.2568945132698793,
      0.2556619141986153,
      0.254441101707426,
      0.25323193982199865,
      0.25203428303854214,
      0.25084799627509313,
      0.24967295216456123,
      0.2485090292679816,
      0.24735611042319236,
      0.24621408210115098,
      0.24508283358348631,
      0.24396225649349615,
      0.24285224442367945,
      0.24175269267164068,
      0.24066349810839258,
      0.23958455892461655,
      0.23851577460979959,
      0.23745704588445518,
      0.23640827463618083,
      0.23536936383373258,
      0.23434021757145826,
      0.23332074091369195,
      0.23231083997097676,
      0.23131042176314234,
      0.2303193943903049,
      0.229337667029241,
      0.22836514958942544,
      0.2274017534144223,
      0.2264473912756289,
      0.22550197672166947,
      0.22456542404112403,
      0.2236376481127556,
      0.22271856462612555,
      0.22180809016484332,
      0.22090614198725567,
      0.22001263815241612,
      0.21912749750887317,
      0.2182506397619652,
      0.21738198531494626,
      0.2165214554686753,
      0.2156689745816511,
      0.21482449400801812,
      0.21398797544527232,
      0.21315936947337288,
      0.21233861894731296,
      0.21152566158197625,
      0.21072043163922738,
      0.20992286101612553,
      0.20913288028556348,
      0.20835041924797526,
      0.20757540730156562,
      0.20680777382333032,
      0.20604744834602104,
      0.20529436076078797,
      0.20454844138073117,
      0.2038096210950741,
      0.20307783124496023,
      0.2023530039078067,
      0.20163507173897396,
      0.200923968005926,
      0.20021962662459186,
      0.19952198207056226,
      0.19883096955933172,
      0.1981465249491356,
      0.19746858462045594,
      0.19679708567534054,
      0.19613196588482368,
      0.19547316358759018,
      0.1948206177306227,
      0.1941742678989996,
      0.19353405428455972,
      0.19289991763093672,
      0.19227179925687077,
      0.19164964117052363,
      0.19103338594456787,
      0.19042297663130678,
      0.18981835699748983,
      0.18921947126535613,
      0.1886262642370375,
      0.1880386811919972,
      0.1874566680657731,
      0.18688017126234385,
      0.18630913772234464,
      0.1857435149551281,
      0.18518324604956665,
      0.18462826233474952,
      0.1840784981108403,
      0.18353389266482212,
      0.18299438915262825,
      0.18245993353406942,
      0.18193047395108142,
      0.18140596024133687,
      0.18088634349643531,
      0.18037157589180872,
      0.17986161058434685,
      0.17935640138459327,
      0.1788559027494613,
      0.17836006992987655,
      0.17786885863789517,
      0.1773822250081792,
      0.1769001257134869,
      0.17642251787871652,
      0.17594935907276366,
      0.17548060731487558,
      0.17501622105697412,
      0.1745561591421639,
      0.1741003808411128,
      0.1736488457497324,
      0.17320151395553568,
      0.1727583458619288,
      0.17231929963620637,
      0.17188431132094786,
      0.17145331046645437,
      0.17102623665358707,
      0.17060303669308907,
      0.17018366280825378,
      0.16976807116885956,
      0.1693562208602596,
      0.1689480421843862,
      0.16854344819292152,
      0.1681423679532389,
      0.16774474216564436,
      0.1673505200877003,
      0.1669596572548454,
      0.1665721138099989,
      0.16618785334736758,
      0.1658068419857879,
      0.16542904775670636,
      0.16505444016510254,
      0.16468298983222204,
      0.1643146506348136,
      0.16394936456272732,
      0.1635870714621136,
      0.16322770021795263,
      0.16287118948772267,
      0.16251748849999034,
      0.16216655437323887,
      0.16181835001189357,
      0.16147284276923382,
      0.16113000326702537,
      0.16078980450768274,
      0.16045222140912485,
      0.16011723023243488,
      0.15978480843437823,
      0.1594549342320792,
      0.15912758647586853,
      0.15880274458808322,
      0.158480388472187,
      0.1581604983539472,
      0.15784305472542695,
      0.15752803839190166,
      0.15721543032884208,
      0.15690521179433012,
      0.15659736413699368,
      0.15629186894781527,
      0.15598870800914721,
      0.155687863289218,
      0.15538931685455978,
      0.15509305090347703,
      0.15479904781938425,
      0.1545072900717826,
      0.15421776035321283,
      0.15393044150706836
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991987270940932,
      10.790375973899648,
      10.579890027073313,
      10.362604902815942,
      10.140579293643116,
      9.91566811310515,
      9.68952165826187,
      9.46363729789807,
      9.23938537120589,
      9.017976989439394,
      8.800439924847304,
      8.587602886367202,
      8.380083726595192,
      8.17828950597942,
      7.982427174458886,
      7.792521961763264,
      7.608438912962095,
      7.429913552578216,
      7.256583678486507,
      7.088017898555468,
      6.9237397872785,
      6.763250208422353,
      6.606046777841743,
      6.451640221289206,
      6.299567873513868,
      6.1494046508350655,
      6.00077185502664,
      5.853336458638438,
      5.706814181353277,
      5.560979454285937,
      5.415662688212652,
      5.270760313907253,
      5.126235777232471,
      4.982122035610426,
      4.838513364732941,
      4.695550022113999,
      4.553424642246543,
      4.412386897442834,
      4.272736780974335,
      4.134815258019262,
      3.9989937656987578,
      3.865662927622024,
      3.7352218894289666,
      3.608067735914332,
      3.4845800565840865,
      3.365112564636402,
      3.2499875279915518,
      3.139488889843734,
      3.0338567620171033,
      2.93328132974647,
      2.83790223953929,
      2.7478105852468864,
      2.663048840088839,
      2.583602490522409,
      2.5094090670662923,
      2.4403654534307577,
      2.3763372600544765,
      2.3171575478398663,
      2.262601914381411,
      2.2123856736447425,
      2.1661370889171696,
      2.1234443729779637,
      2.08388601005997,
      2.0470554700937718,
      2.012555621781093,
      1.9800069113761787,
      1.9491006703155618,
      1.9195977315242587,
      1.8913146469371889,
      1.8641074280815666,
      1.8378545527605836,
      1.8124501504939419,
      1.7878108329399496,
      1.763871435174498,
      1.740585715222318,
      1.71791637767817,
      1.695829452109594,
      1.674294512225045,
      1.6532841885804463,
      1.6327736699514108,
      1.6127403065503474,
      1.5931638388062492,
      1.5740260226433482,
      1.5553096714950032,
      1.5369985281764027,
      1.519077198049694,
      1.5015312888758034,
      1.484347657067791,
      1.4675137284452187,
      1.4510173557798802,
      1.4348468324563945,
      1.4189908975718906,
      1.4034387406723206,
      1.38818063670695,
      1.3732076916170712,
      1.3585111175752842,
      1.3440822822656533,
      1.3299127489007292,
      1.3159943040980688,
      1.302318977289603,
      1.2888790521286093,
      1.2756670730480109,
      1.2626758474216702,
      1.249898212376609,
      1.2373270982562625,
      1.2249557729584848,
      1.2127778189074307,
      1.200787117473739,
      1.188977973305127,
      1.1773450846414382,
      1.165883667679274,
      1.1545892283172305,
      1.143457341745831,
      1.1324836694008331,
      1.121663972072089,
      1.1109941184813548,
      1.1004702751454274,
      1.0900893810189543,
      1.0798484951497656,
      1.0697446314336911,
      1.0597747924184366,
      1.04993618140808,
      1.040226244728395,
      1.0306426042041026,
      1.0211831306351076,
      1.011845621267656,
      1.002627793770878,
      0.9935273240561281,
      0.9845418741187865,
      0.9756691126658329,
      0.9669067305708825,
      0.9582524515106862,
      0.9497040397058135,
      0.9412593056656985,
      0.932916109307958,
      0.9246723621560835,
      0.9165260288429331,
      0.9084751269233016,
      0.9005177057842798,
      0.8926518381357452,
      0.8848756570580746,
      0.877187357395802,
      0.8695851917981205,
      0.8620674672592874,
      0.8546325421651659,
      0.8472788237508808,
      0.8400047656190374,
      0.8328088658851976,
      0.8256896649389052,
      0.8186457439961597,
      0.8116757234835551,
      0.8047783950873437,
      0.7979530072167889,
      0.7911994824642529,
      0.784517737216594,
      0.7779076206591126,
      0.7713688270038268,
      0.7649008203737429,
      0.7585029058281871,
      0.7521742805786401,
      0.7459140706192267,
      0.7397213571451307,
      0.733595195630709,
      0.7275346293523,
      0.7215386990247273,
      0.7156064491419091,
      0.7097369329257296,
      0.703929215647427,
      0.6981823767421437,
      0.6924955112355023,
      0.686867730720249,
      0.6812981636600135,
      0.6757859558146946,
      0.6703302698758901,
      0.6649302857155263,
      0.6595851998004599,
      0.6542942255823875,
      0.6490565923227469,
      0.6438715453552727,
      0.6387385660570519,
      0.633657390424636,
      0.6286276619237953,
      0.6236489294903901,
      0.6187206775726612,
      0.6138423480460911,
      0.6090133556452051,
      0.6042330992249982,
      0.5995009696012779,
      0.5948163552926127,
      0.5901787408647741,
      0.5855879790826171,
      0.5810439039474745,
      0.5765462205161912,
      0.5720945456310716,
      0.5676884369159892,
      0.5633274131618674,
      0.5590109685844188,
      0.554738583085976,
      0.5505097292179099,
      0.5463238769605422,
      0.5421804976355742,
      0.5380790658704223,
      0.5340190613524434,
      0.5299999699734447,
      0.5260212842415782,
      0.5220825040584609,
      0.5181831369225045,
      0.5143226979939771,
      0.5105010447029603,
      0.5067183036244624,
      0.5029744380684739,
      0.4992692787098261,
      0.49560256560537097,
      0.4919739770536507,
      0.48838315022671575,
      0.48482969573141343,
      0.481313207446203,
      0.47783326977933677,
      0.4743894624245721,
      0.47098136377609173,
      0.4676085533207683,
      0.4642706134229146,
      0.4609671301532121,
      0.45769769423329815,
      0.45446190123533814,
      0.45125935208103074,
      0.4480896531554493,
      0.4449524164184154,
      0.44184725946412073,
      0.4387738052238354,
      0.43573168232941745,
      0.4327205248929098,
      0.42973997236314454,
      0.42678966943447727,
      0.42386926603292746,
      0.4209784173040526,
      0.41811678329812446,
      0.41528402906370326,
      0.41247982431122526,
      0.40970384361279644,
      0.40695576612124085,
      0.40423527562263334,
      0.4015420604643333,
      0.3988758132829041,
      0.3962362310142981,
      0.3936230147546371,
      0.39103586987824906,
      0.3884745057521547,
      0.3859386358357007,
      0.3834279774781907,
      0.38094225189832825,
      0.37848118406524167,
      0.3760445025832158,
      0.37363193975779124,
      0.3712432315386704,
      0.36887811739041354,
      0.3665363401409903,
      0.3642176460637055,
      0.3619217847842127,
      0.3596485092433226,
      0.35739757551035334,
      0.3551687428554549,
      0.35296177380010246,
      0.35077643373978323,
      0.34861249100291775,
      0.3464697171421092,
      0.3443478864422007,
      0.34224680355896986,
      0.34016640733888065,
      0.33810664583719086,
      0.33606741647766764,
      0.3340485819651301,
      0.33204998132908264,
      0.3300714376442156,
      0.3281127636639282,
      0.3261737502567378,
      0.3242540749966186,
      0.32235338858195167,
      0.3204713881008067,
      0.3186078041649501,
      0.3167623918953997,
      0.3149349246909503,
      0.31312518924259225,
      0.3113329826285337,
      0.30955810965955904,
      0.3078003814578304,
      0.3060596142586932,
      0.3043356283421171,
      0.30262824756094886,
      0.3009372988023359,
      0.2992626117879892,
      0.29760401865260827,
      0.2959613538715512,
      0.29433445414325804,
      0.29272315825141526,
      0.29112730700817785,
      0.28954674320232965,
      0.28798131139931726,
      0.2864308579357273,
      0.28489523108340636,
      0.28337428065845466,
      0.28186786177885403,
      0.28037585715142843,
      0.27889815782288674,
      0.27743464511928,
      0.2759851940198012,
      0.2745496756000915,
      0.27312795850471416,
      0.2717199098612355,
      0.2703253963778219,
      0.26894428502960166,
      0.2675764431593936,
      0.2662217388067958,
      0.2648800409869008,
      0.26355121995857167,
      0.2622351471137446,
      0.26093169504743335,
      0.25964073760505324,
      0.2583621499332968,
      0.25709580854647507,
      0.2558415913204631,
      0.2545993772739222,
      0.25336903552920614,
      0.25215042221661005,
      0.2509434004491788,
      0.24974784089199886,
      0.2485636197660483,
      0.24739061785153646,
      0.24622871931601673,
      0.24507781122898165,
      0.24393778293293444,
      0.24280852577856496,
      0.24168993277716735,
      0.24058189862724963,
      0.23948431937758086,
      0.23839709227230937,
      0.23732011589239846,
      0.2362532899448503,
      0.23519651528411595,
      0.2341496938863946,
      0.2331127287505283,
      0.23208552389136122,
      0.23106798442475948,
      0.23006001646557125,
      0.22906152707918245,
      0.2280724243630777,
      0.2270926181296524,
      0.22612201938607338,
      0.22516053972913577,
      0.22420809144121143,
      0.22326458761360257,
      0.22232994209405188,
      0.2214040695001268,
      0.22048688531130323,
      0.219578305836407,
      0.2186782481836894,
      0.21778663032223228,
      0.21690337099357582,
      0.21602839344036426,
      0.21516164920280811,
      0.21430309766302477,
      0.21345268704534232,
      0.21261035790239713,
      0.2117760455780157,
      0.21094968194970246,
      0.21013119655964219,
      0.20932051777471278,
      0.2085175729998695,
      0.2077222893455954,
      0.20693459389917085,
      0.2061544140210445,
      0.2053816774637578,
      0.20461631231379612,
      0.20385824723960866,
      0.20310741152510356,
      0.20236373513087264,
      0.20162714856638897,
      0.20089758303147395,
      0.20017497033068637,
      0.1994592430572999,
      0.19875033434689174,
      0.19804817807842723,
      0.1973527086703725,
      0.1966638613241583,
      0.19598157190108587,
      0.19530577678886746,
      0.19463641319002425,
      0.19397341882733857,
      0.19331673204581346,
      0.19266629178939287,
      0.19202203769419035,
      0.19138390999342858,
      0.19075184938596326,
      0.19012579732657334,
      0.18950569574590853,
      0.18889148717965035,
      0.18828311479779972,
      0.18768052224506218,
      0.18708365373774938,
      0.1864924542132018,
      0.18590685732221107,
      0.18532679000021404,
      0.18475218562780976,
      0.18418298213945064,
      0.18361912092658864,
      0.1830605460210872,
      0.18250720353009411,
      0.18195904114247394,
      0.18141600781934783,
      0.1808780535273648,
      0.18034512914104592,
      0.1798171863614175,
      0.179294177433721,
      0.17877605533819793,
      0.17826277352523612,
      0.17775428613582409,
      0.1772505476263799,
      0.17675151291664948,
      0.1762571375388549,
      0.17576737740751797,
      0.175282188819744,
      0.17480152859666154,
      0.17432535398516738,
      0.17385362263741005,
      0.17338629257911842,
      0.17292332228085866,
      0.17246467059117945,
      0.17201029675994348,
      0.17156015750044268,
      0.17111418666256256,
      0.1706723120277458,
      0.17023447158300706,
      0.16980061080343856,
      0.16937068065166538,
      0.16894463609459248,
      0.16852243510593082,
      0.16810401808160802,
      0.16768929760596427,
      0.1672781969360509,
      0.16687065223421332,
      0.1664666092080289,
      0.16606602067731335,
      0.16566884457545034,
      0.1652750426957781,
      0.16488457959245592,
      0.1644974219118013,
      0.16411353803069256,
      0.16373288130661953,
      0.16335539139663538,
      0.16298099758092854,
      0.162609624165602,
      0.16224120940275832,
      0.16187570202096216,
      0.16151305856772766,
      0.1611532413353062,
      0.1607962169640691,
      0.16044195529121827,
      0.16009042870822798,
      0.1597416113180617,
      0.15939547870964058,
      0.15905200752807463,
      0.15871117529079898,
      0.15837296010483054,
      0.15803734066035546,
      0.1577042960225215,
      0.15737380572389,
      0.1570458495787076,
      0.15672040759345818,
      0.15639746010112232,
      0.15607698752740484,
      0.15575897053913476,
      0.155443390040733,
      0.15513022708901852,
      0.15481946291042709,
      0.1545110788868004,
      0.1542050566245954,
      0.1539013777896603,
      0.15360002422182087,
      0.15330097795512412,
      0.1530042210792942,
      0.152709735932463,
      0.15241750492587186,
      0.15212751057231383,
      0.15183973563576533
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991966886507415,
      10.790309406961011,
      10.579756786674988,
      10.362389873025897,
      10.14027222069862,
      9.915263225555579,
      9.689017322172864,
      9.463034869288375,
      9.238687736119337,
      9.017188239660799,
      8.79956453117109,
      8.586645351815362,
      8.379048282865721,
      8.177179871306487,
      7.981246382240987,
      7.791272076093781,
      7.607120856856903,
      7.428527531517644,
      7.255129376864823,
      7.086494494016615,
      6.922146005592202,
      6.761584465285168,
      6.604307333193386,
      6.449825338427546,
      6.297675978044624,
      6.147434488460396,
      5.998722646064816,
      5.851208220400681,
      5.704607733584259,
      5.558696493615099,
      5.413305881047069,
      5.2683331198208165,
      5.123742819134515,
      4.979569145431512,
      4.835907387523838,
      4.692899207366594,
      4.55073852876671,
      4.409676060690684,
      4.270012679523094,
      4.132090037652207,
      3.9962800293268086,
      3.862973480863351,
      3.732569636613373,
      3.605465398776867,
      3.482040142614756,
      3.3626468074298934,
      3.247606586972994,
      3.1372021910347447,
      3.0316721103690982,
      2.9312045958993145,
      2.8359378998918956,
      2.745961741842115,
      2.6613169225940574,
      2.581987023136123,
      2.5079081656070423,
      2.4389756899722554,
      2.3750543561600708,
      2.3159753222001065,
      2.2615117589417353,
      2.211375657656787,
      2.1651928074016604,
      2.1225518320500534,
      2.0830313104676836,
      2.046225869401461,
      2.011738587114457,
      1.9791921360083,
      1.9482805425355303,
      1.9187666664111207,
      1.8904684818859758,
      1.8632431325456607,
      1.8369698531160494,
      1.8115433710424196,
      1.786880879803724,
      1.762917244688111,
      1.73960613880595,
      1.7169107162226207,
      1.694797322252422,
      1.6732357474608062,
      1.652198783460509,
      1.6316617389328512,
      1.6116020511985196,
      1.5919992942083676,
      1.5728352156433885,
      1.5540927221207512,
      1.5357556243640722,
      1.5178085767920446,
      1.5002370509210743,
      1.483027706610397,
      1.4661680694148482,
      1.4496460671102935,
      1.4334500489504578,
      1.4175687952973073,
      1.401991525871862,
      1.3867082661416232,
      1.371709977968015,
      1.3569879703989034,
      1.3425336862683548,
      1.3283387467905354,
      1.3143949824820074,
      1.3006944557651448,
      1.2872294746993287,
      1.2739926012475515,
      1.2609765944612084,
      1.2481742004104666,
      1.23557838652487,
      1.2231824489512582,
      1.210979990870851,
      1.1989649150189787,
      1.1871315467109966,
      1.1754746042204143,
      1.1639893327361044,
      1.1526712322343724,
      1.1415158716001255,
      1.1305189062727716,
      1.1196760990142784,
      1.1089836852654409,
      1.0984384957089812,
      1.0880373854188996,
      1.0777771842357535,
      1.0676547274012924,
      1.0576669211208796,
      1.047810987610581,
      1.0380844319189293,
      1.0284850357288422,
      1.0190105262445734,
      1.0096585477612372,
      1.0004267009026155,
      0.9913125717503191,
      0.9823137533759438,
      0.9734278615151399,
      0.9646525465188192,
      0.9559855007605551,
      0.9474244645881816,
      0.9389672300379917,
      0.9306116428485314,
      0.9223556036621523,
      0.914197068487156,
      0.9061340483382119,
      0.8981645836033368,
      0.8902867421767612,
      0.8824986550681727,
      0.8747985153476491,
      0.8671845742306032,
      0.8596551375107263,
      0.8522085627541212,
      0.844843256192638,
      0.8375576708481562,
      0.8303503041652532,
      0.8232196960736226,
      0.8161644272825228,
      0.8091832040766155,
      0.8022751725469465,
      0.7954401941437175,
      0.7886783983344967,
      0.7819897128364509,
      0.775373745770272,
      0.768829891754205,
      0.7623573982657172,
      0.7559554137522669,
      0.7496230223458248,
      0.743359268479604,
      0.737163174631015,
      0.7310337539211962,
      0.7249700191868179,
      0.7189709890623405,
      0.7130356925444277,
      0.7071631717502048,
      0.7013524841285,
      0.6956027037533729,
      0.6899129219626295,
      0.6842822476523159,
      0.6787098075123241,
      0.6731947461318464,
      0.6677362258259081,
      0.6623334261613661,
      0.6569855436672835,
      0.6516917916055792,
      0.6464513993722818,
      0.6412637406047988,
      0.6361285272958401,
      0.6310454242430311,
      0.626013991838535,
      0.6210337192128457,
      0.6161040478041748,
      0.6112243887325994,
      0.606394134745516,
      0.6016126689104525,
      0.596879370592162,
      0.5921937104402198,
      0.5875555273510309,
      0.5829646529129493,
      0.5784207869131144,
      0.5739235396504833,
      0.5694724608547211,
      0.5650670609050846,
      0.5607068251291786,
      0.5563912241542052,
      0.5521197214395049,
      0.5478917780153979,
      0.5437068559206861,
      0.5395644207328701,
      0.5354639432771794,
      0.5314049006999483,
      0.5273867770882361,
      0.5234090638435357,
      0.5194712601170628,
      0.5155728730297071,
      0.511713752993443,
      0.50789402445833,
      0.5041136482795832,
      0.5003724512974304,
      0.4966701683667781,
      0.4930064720122966,
      0.48938099337072777,
      0.48579333655097623,
      0.48224308905699687,
      0.47872982858807905,
      0.4752531283528944,
      0.471812560304598,
      0.4684076975816506,
      0.46503811618850516,
      0.4617033959481821,
      0.4584031213671504,
      0.45513688200862606,
      0.45190427291123236,
      0.4487048946987964,
      0.4455383536111214,
      0.44240426163492536,
      0.43930223635430793,
      0.4362319010809659,
      0.43319288452664323,
      0.43018482095965943,
      0.42720735008255645,
      0.4242601168605854,
      0.4213427714276165,
      0.418454969146699,
      0.4155963703420375,
      0.4127666401348419,
      0.4099654486117115,
      0.40719247058888863,
      0.4044473854554398,
      0.40172987712049946,
      0.39903963406512744,
      0.39637634914325265,
      0.3937397194360647,
      0.391129446262144,
      0.3885452351400168,
      0.38598679562699084,
      0.3834538412632002,
      0.38094608951883785,
      0.3784632617704606,
      0.3760050831031804,
      0.3735712822180978,
      0.3711615915718143,
      0.3687757471895348,
      0.3664134886348089,
      0.36407455890662954,
      0.3617587044168376,
      0.35946567479354896,
      0.35719522304435025,
      0.3549471053675558,
      0.3527210810438546,
      0.3505169125861596,
      0.34833436563969217,
      0.3461732087337203,
      0.3440332133678861,
      0.34191416196077457,
      0.3398159631435527,
      0.3377385790569396,
      0.3356819160275514,
      0.3336458421122912,
      0.33163019941216826,
      0.32963481237945386,
      0.3276594940198486,
      0.3257039882908297,
      0.32376793792035563,
      0.3218510145794614,
      0.31995292954023136,
      0.31807342272760736,
      0.31621225539569336,
      0.31436920444284755,
      0.31254405861232093,
      0.3107366156095999,
      0.30894668029225164,
      0.3071740631749093,
      0.3054185791543538,
      0.30368004720174196,
      0.30195828964613064,
      0.3002531316195565,
      0.29856440106911497,
      0.2968919283304095,
      0.29523554610139724,
      0.2935950891544936,
      0.2919703944095741,
      0.2903613007573964,
      0.28876764907848024,
      0.2871892821137205,
      0.28562604440272604,
      0.28407778234100073,
      0.2825443441138077,
      0.28102558742919526,
      0.2795213998875692,
      0.2780316678015021,
      0.27655626879529793,
      0.2750950747576678,
      0.2736479539695526,
      0.27221477259239285,
      0.2707953957141302,
      0.2693896881726996,
      0.2679975148167822,
      0.26661874128641705,
      0.2652532340692699,
      0.26390086053292794,
      0.2625614893022202,
      0.26123499021937935,
      0.2599212343964398,
      0.2586200942068739,
      0.25733144338240777,
      0.2560551569219926,
      0.25479111123355214,
      0.2535391761028284,
      0.2522991975429242,
      0.25107102840873285,
      0.24985453750188463,
      0.24864960139885814,
      0.24745610032882537,
      0.24627391747242966,
      0.24510293849962297,
      0.24394305107714948,
      0.24279414464979077,
      0.24165611029081935,
      0.24052884050628873,
      0.2394122292349414,
      0.23830617169930396,
      0.23721056432469698,
      0.23612530467423742,
      0.23505029150173062,
      0.23398542464268976,
      0.2329306049595302,
      0.23188573444216465,
      0.23085071615966118,
      0.22982545413858357,
      0.22880985343499394,
      0.22780382045106368,
      0.22680726334552906,
      0.22582009107565126,
      0.22484221314141797,
      0.22387353994170187,
      0.22291398258593098,
      0.22196345302587886,
      0.22102186403719537,
      0.22008912930531643,
      0.21916516324703236,
      0.21824988119028668,
      0.21734319934061244,
      0.21644503861593015,
      0.2155553490970292,
      0.21467408856253714,
      0.2138012034462202,
      0.2129366322665436,
      0.21208030823566582,
      0.21123216095668434,
      0.21039211783985579,
      0.20956010478461376,
      0.20873604695706421,
      0.20791986924624634,
      0.20711149643914295,
      0.2063108535345836,
      0.20551786598115845,
      0.20473245967482093,
      0.20395456111039784,
      0.20318409736943605,
      0.202420996122947,
      0.20166518569925204,
      0.20091659521780272,
      0.200175154496556,
      0.1994407938853088,
      0.1987134444697145,
      0.1979930380614064,
      0.19727950716522824,
      0.19657278496137354,
      0.19587280530262208,
      0.19517950271374845,
      0.19449281232954224,
      0.1938126700131458,
      0.19313901228601507,
      0.19247177619630437,
      0.19181089944360588,
      0.19115632039149585,
      0.19050797804393904,
      0.18986581198593724,
      0.18922976241511555,
      0.1885997701500072,
      0.18797577661494516,
      0.187357722199564,
      0.1867455345885871,
      0.18613913831281467,
      0.18553846431245502,
      0.1849434480883866,
      0.1843540286096428,
      0.1837701474371128,
      0.18319174820076312,
      0.18261877605911833,
      0.1820511775205077,
      0.18148890014227692,
      0.18093189237365953,
      0.18038010354180467,
      0.1798334834977017,
      0.1792919827981666,
      0.17875555264866408,
      0.17822414473384438,
      0.17769771130446335,
      0.1771762050880341,
      0.17665957926490447,
      0.1761477876238997,
      0.17564078427492905,
      0.17513852385897705,
      0.17464096142911362,
      0.17414805248569912,
      0.17365975294942226,
      0.17317601919967668,
      0.17269680807624374,
      0.1722220767299321,
      0.17175178285613665,
      0.1712858845105545,
      0.1708243375354416,
      0.17036707467057308,
      0.16991402137649717,
      0.16946511362676497,
      0.16902029518266998,
      0.1685795154208807,
      0.168142727945828,
      0.1677098895236787,
      0.16728095061058723,
      0.16685582661210996,
      0.16643443378297293,
      0.16601670307289934,
      0.1656025761224908,
      0.1651920025474609,
      0.16478493768604183,
      0.16438134123372425,
      0.16398117611700924,
      0.16358440752606423,
      0.16319099009635393,
      0.16280085878250972,
      0.16241393447783906,
      0.16203013888977585,
      0.16164940821321624,
      0.1612716894631531,
      0.16089693762594554,
      0.16052511376403633,
      0.16015618337903179,
      0.15979011525628478,
      0.15942688062762356,
      0.15906645262933958,
      0.15870880605421073,
      0.1583539166322527,
      0.1580017609771352,
      0.15765231640829477,
      0.1573055607505753,
      0.15696147237742525,
      0.1566200299316655,
      0.15628121239724332,
      0.15594499902585604,
      0.15561136938553646,
      0.15528030320046643,
      0.15495178045214827,
      0.15462578123348317,
      0.15430228588954495,
      0.15398127491106128,
      0.15366272893670954,
      0.15334662880674682,
      0.15303295557923713,
      0.1527216903755811,
      0.1524128144993555,
      0.1521063094289179,
      0.15180215675337344,
      0.15150033824241405,
      0.15120083575148718,
      0.15090363138182752,
      0.1506087073104892,
      0.15031604586875733,
      0.15002562950029574,
      0.14973744076432943
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991946331677672,
      10.790242262457463,
      10.579622345636155,
      10.362172550200414,
      10.139961644771095,
      9.91485352536165,
      9.688506783042902,
      9.462424785232836,
      9.23798093994815,
      9.01638877912478,
      8.798676853464393,
      8.585673945434419,
      8.377997372485629,
      8.17605317248211,
      7.980046925785816,
      7.79000192647402,
      7.605780942649053,
      7.427118058556456,
      7.253650024775713,
      7.084944430388154,
      6.9205239413225685,
      6.7598887981773785,
      6.602536302445821,
      6.4479771844208456,
      6.295749104523983,
      6.145427622471829,
      5.9966349943835455,
      5.849039783673655,
      5.7023593206116026,
      5.556369799877724,
      5.4109035874848415,
      5.265858717695138,
      5.121200982077553,
      4.9769657767420075,
      4.8332494218284845,
      4.690195003234177,
      4.547997754095775,
      4.40690943872579,
      4.267231833376974,
      4.129307291862557,
      3.993508176800091,
      3.8602255225810156,
      3.7298586739196895,
      3.602804245838221,
      3.4794413953564898,
      3.3601223890566807,
      3.245167335579339,
      3.1348576984763405,
      3.0294301678728948,
      2.9290712307798352,
      2.833917727269255,
      2.7440579842798387,
      2.6595311096660526,
      2.5803187569419976,
      2.506355565792886,
      2.4375353796089834,
      2.3737220962664267,
      2.314744526122154,
      2.260373874183131,
      2.210318876482754,
      2.1642028094916097,
      2.1216145964915443,
      2.082132904207906,
      2.0453535243222487,
      2.0108797243889156,
      1.9783363988591127,
      1.947420275954094,
      1.917896248641409,
      1.8895837168425897,
      1.8623409582447679,
      1.83604798206224,
      1.8106001103871805,
      1.7859150960122272,
      1.7619279961637568,
      1.738592257211119,
      1.7158714342646229,
      1.69373219905137,
      1.6721445678316775,
      1.6510815016865303,
      1.6305184342195593,
      1.6104328941625363,
      1.5908043493257702,
      1.571614471690671,
      1.5528462665081038,
      1.5344836173130563,
      1.5165112308595023,
      1.498914586635278,
      1.481680082992303,
      1.4647952220480969,
      1.4482480186890874,
      1.4320268879295643,
      1.4161206589125728,
      1.4005185986217736,
      1.3852107401814735,
      1.3701877581302206,
      1.3554408625627459,
      1.340961590663042,
      1.3267416367372975,
      1.312772887861432,
      1.2990474493732032,
      1.2855576617415239,
      1.272296111406808,
      1.2592554741873092,
      1.2464284571495596,
      1.2338080668649374,
      1.221387629144026,
      1.2091607694589261,
      1.1971214132062387,
      1.18526390778494,
      1.1735829924779289,
      1.1620739425624667,
      1.1507322523426218,
      1.139553484971463,
      1.128533415616095,
      1.1176683152772708,
      1.1069548237074645,
      1.0963895949339526,
      1.085969275868271,
      1.0756905338771754,
      1.065550077549027,
      1.0555448181346603,
      1.0456720943689903,
      1.0359296036101167,
      1.0263150053690782,
      1.0168258712720801,
      1.007459726104689,
      0.9982140790712297,
      0.9890864461061007,
      0.9800743665038285,
      0.9711754148348613,
      0.9623872095155604,
      0.9537074187315954,
      0.945133764053582,
      0.9366640228933182,
      0.9282960297241358,
      0.920027676495393,
      0.9118569124137164,
      0.9037817432115616,
      0.8958002011763302,
      0.8879103503348371,
      0.8801103200660418,
      0.8723983023107207,
      0.8647725471422796,
      0.857231359500124,
      0.8497730961757088,
      0.8423961627524954,
      0.8350990117773395,
      0.827880140134751,
      0.8207380873093596,
      0.8136714862685993,
      0.806679356984001,
      0.7997614966203912,
      0.7929181001736284,
      0.7861493092969983,
      0.7794547105159588,
      0.7728336147999185,
      0.7662852016298687,
      0.7598085631198591,
      0.7534027357335736,
      0.7470667225819829,
      0.7407995097738655,
      0.7346000778343225,
      0.7284674096000537,
      0.7224004962467532,
      0.7163983409853673,
      0.7104599618686629,
      0.704584393287063,
      0.6987706872830646,
      0.6930179140560789,
      0.6873251623504076,
      0.6816915394276151,
      0.6761161710080045,
      0.6705982011349435,
      0.665136791710675,
      0.659731122139259,
      0.654380388951445,
      0.649083805617745,
      0.643840667936213,
      0.6386506188967639,
      0.6335133484462339,
      0.6284284308754813,
      0.6233953616169947,
      0.6184135830860745,
      0.613482503291432,
      0.6086015090027976,
      0.6037699758584121,
      0.5989872747833309,
      0.5942528608264046,
      0.589566557013481,
      0.5849281932755889,
      0.5803374647462413,
      0.5757939751782123,
      0.5712972669315843,
      0.5668468417822048,
      0.5624421761532156,
      0.5580827317606037,
      0.5537679626499248,
      0.5494973203519199,
      0.5452702576844499,
      0.541086231086839,
      0.536944702183056,
      0.5328451392414395,
      0.5287870174941414,
      0.5247698198450949,
      0.5207930370802175,
      0.5168561679628543,
      0.5129590521907511,
      0.509101811592726,
      0.5052844057952659,
      0.5015066582392198,
      0.4977682991652197,
      0.4940689956097609,
      0.49040837278590665,
      0.48678602865147347,
      0.48320154405411153,
      0.47965449032072044,
      0.4761444339352619,
      0.4726709402303282,
      0.4692335757492184,
      0.4658319100257221,
      0.4624655166863049,
      0.45913397390472316,
      0.4558368651534655,
      0.45257377941477056,
      0.4493443113878796,
      0.44614806159181025,
      0.4429846363137859,
      0.4398536475823371,
      0.43675471311426894,
      0.4336874563634811,
      0.43065150639276706,
      0.4276464976444085,
      0.4246720700428239,
      0.42172786876788215,
      0.41881354420807443,
      0.4159287518389899,
      0.4130731522311788,
      0.4102464108315112,
      0.40744819789941866,
      0.404678188394696,
      0.4019360619952639,
      0.3992215028888099,
      0.3965341995926711,
      0.39387384505611683,
      0.3912401366388238,
      0.388632775838212,
      0.3860514683510013,
      0.3834959237817283,
      0.3809658559141807,
      0.378460982274631,
      0.37598102430858404,
      0.37352570723073114,
      0.37109475990414065,
      0.36868791495189995,
      0.36630490846607405,
      0.363945480050882,
      0.36160937274248994,
      0.3592963330345648,
      0.35700611070459626,
      0.3547384587458863,
      0.35249313348132366,
      0.35026989437659006,
      0.3480685039845883,
      0.3458887279447298,
      0.34373033485951127,
      0.34159309627688955,
      0.33947688433146966,
      0.3373816635484475,
      0.33530735110169163,
      0.33325382189142483,
      0.3312209219043963,
      0.3292084776584975,
      0.3272162918490776,
      0.32524404917680705,
      0.3232913924809029,
      0.32135801116655105,
      0.3194436283577426,
      0.3175479919548098,
      0.31567086804259187,
      0.31381203631986876,
      0.3119712869107132,
      0.3101484179476971,
      0.3083432338673405,
      0.3065555441446212,
      0.3047851626656652,
      0.3030319068457306,
      0.30129559723974336,
      0.2995760572884267,
      0.29787311298224534,
      0.29618659277326825,
      0.29451632742916617,
      0.2928621497654852,
      0.2912238947129392,
      0.2896013993133316,
      0.2879945025676093,
      0.28640304539021866,
      0.2848268704403771,
      0.28326582244070186,
      0.28171974772470026,
      0.2801885097109857,
      0.2786719964347693,
      0.2771700899316008,
      0.27568266425326443,
      0.2742095883446109,
      0.2727507278050682,
      0.27130594644465206,
      0.2698751072454757,
      0.26845807308960556,
      0.267054707077073,
      0.26566487299558134,
      0.26428843553594594,
      0.26292526063673005,
      0.26157521528434907,
      0.2602381676845318,
      0.25891398737267657,
      0.25760254521317216,
      0.2563037134402202,
      0.255017365663848,
      0.2537433739425706,
      0.25248158798577364,
      0.2512318523705788,
      0.24999402336731377,
      0.24876796598833265,
      0.2475535549616431,
      0.24635067439361918,
      0.2451592106578245,
      0.2439790512846726,
      0.24281008487096917,
      0.24165220137390955,
      0.24050529182389854,
      0.23936924829475992,
      0.23824396404204484,
      0.2371293335304989,
      0.23602525227380872,
      0.23493161684312694,
      0.23384832501835376,
      0.23277527566294431,
      0.23171236861491037,
      0.23065950480955746,
      0.22961658621430384,
      0.22858351589426082,
      0.22756019866578636,
      0.2265465407895728,
      0.22554244913376428,
      0.22454783121655902,
      0.22356259530122355,
      0.22258665055698706,
      0.2216199070189273,
      0.22066227547392325,
      0.21971366774369744,
      0.2187739964872052,
      0.21784317519658045,
      0.216921121145516,
      0.21600778111096208,
      0.2151031122133124,
      0.21420705957702507,
      0.2133195601003433,
      0.21244054505912907,
      0.21156994201441987,
      0.21070767610725594,
      0.20985367097509453,
      0.2090078494964522,
      0.20817013417574654,
      0.2073404474628647,
      0.20651871209732714,
      0.20570485116067808,
      0.20489878824386215,
      0.20410044755282913,
      0.20330975382495067,
      0.20252663242544322,
      0.20175100954717562,
      0.2009828121082244,
      0.20022196762614758,
      0.19946840434865146,
      0.19872205129769405,
      0.19798283815071124,
      0.1972506953148629,
      0.19652555385094914,
      0.1958073455523097,
      0.19509600293691115,
      0.19439145910224864,
      0.19369364796363342,
      0.19300250403706087,
      0.19231796254260122,
      0.19163995920458984,
      0.19096843051156284,
      0.1903033136478286,
      0.18964454638947617,
      0.18899206711694497,
      0.18834581294749808,
      0.18770570787540045,
      0.18707167285653517,
      0.1864436353334178,
      0.1858215275394332,
      0.1852052853818517,
      0.18459484749105037,
      0.1839901546236131,
      0.1833911492260233,
      0.18279777509377051,
      0.1822099771370825,
      0.18162770116343693,
      0.1810508937907961,
      0.18047950242705582,
      0.17991347517611386,
      0.1793527607084545,
      0.1787973082734495,
      0.17824706771380164,
      0.17770198930404038,
      0.17716202385757243,
      0.17662712267030245,
      0.1760972376440888,
      0.17557232108156556,
      0.17505232582605756,
      0.17453720512310683,
      0.1740269126874461,
      0.17352140270768557,
      0.17302062985291553,
      0.1725245491407997,
      0.1720331160490523,
      0.17154628656450435,
      0.17106401708150387,
      0.17058626435283405,
      0.17011298413199716,
      0.169644109013228,
      0.1691795614795497,
      0.1687192752212407,
      0.16826319190541822,
      0.16781125917374795,
      0.16736342905764626,
      0.16691965686795143,
      0.16647989998315285,
      0.1660440841850911,
      0.16561211732474362,
      0.16518392405666996,
      0.16475944128662212,
      0.16433861475703868,
      0.1639213970088549,
      0.1635077453245433,
      0.1630976205358588,
      0.16269097954420123,
      0.16228775409936935,
      0.1618878574055453,
      0.16149120680397383,
      0.16109773502429914,
      0.1607073863324365,
      0.16032011352529552,
      0.15993587574698534,
      0.1595546367620851,
      0.1591763639144787,
      0.15880102722739073,
      0.158428598799757,
      0.15805905217243613,
      0.15769236209425938,
      0.15732850426739403,
      0.15696745507717502,
      0.15660919157268005,
      0.15625369116338433,
      0.1559009316482065,
      0.15555089121409968,
      0.15520354823234375,
      0.15485888151398097,
      0.15451686999389103,
      0.15417749282917545,
      0.1538407294473167,
      0.15350655938530644,
      0.15317496239660466,
      0.15284591835515646,
      0.15251940740803938,
      0.15219540975359688,
      0.1518739058781075,
      0.1515548763224935,
      0.15123830184383913,
      0.15092416332929792,
      0.1506124418508458,
      0.15030311854230488,
      0.149996174794726,
      0.1496915921284066,
      0.1493893521669136,
      0.14908943673903635,
      0.14879182779677377,
      0.1484965073465582,
      0.1482034576671116,
      0.14791266111446078,
      0.14762410020748598
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991925607672398,
      10.790174548933361,
      10.579486724241258,
      10.3619532426278,
      10.139648132527954,
      9.914439816056785,
      9.68799106163939,
      9.461808265377636,
      9.237266286646461,
      9.015579903820925,
      8.797778180427366,
      8.584689952052717,
      8.376932279674596,
      8.174910696922526,
      7.9788301018595735,
      7.788712735933923,
      7.60442033509811,
      7.425686254577649,
      7.252146712596472,
      7.0833687799561895,
      6.91887465898202,
      6.758164272811986,
      6.600734761464697,
      6.446096855567575,
      6.293788379043017,
      6.1433852178899215,
      5.994510112368318,
      5.846832415504156,
      5.700070270813711,
      5.554000767567985,
      5.408457272377059,
      5.263338645550285,
      5.118611879461941,
      4.974313619431952,
      4.830541236988248,
      4.687439260990474,
      4.54520425350504,
      4.404089052034323,
      4.264396348499438,
      4.126469210657449,
      3.9906804771152107,
      3.8574213960527017,
      3.72709141407784,
      3.600086854509738,
      3.4767866429787118,
      3.3575423617302955,
      3.2426730239582087,
      3.1324588339182093,
      3.027134580115957,
      2.9268850725450397,
      2.831845721909201,
      2.742103445735512,
      2.657695639789026,
      2.5786020100048823,
      2.504755434720979,
      2.436048537536391,
      2.3723443437205507,
      2.31346930282778,
      2.259192432336481,
      2.209219439060566,
      2.1631710686771743,
      2.1206365103783917,
      2.0811945162488734,
      2.0444420496006748,
      2.0099825484746687,
      1.9774431258625207,
      1.9465232156771788,
      1.916989747314344,
      1.8886635498023354,
      1.861404036587932,
      1.8350919922222164,
      1.8096233334084766,
      1.7849163702529263,
      1.7609064661414477,
      1.7375468077687486,
      1.7148012287550225,
      1.6926367392860653,
      1.671023590759116,
      1.6499349206922815,
      1.6293462939715742,
      1.6092353359171374,
      1.5895814655855312,
      1.5703662145382322,
      1.5515726923945226,
      1.5331848593056403,
      1.5151874783127934,
      1.497566068585531,
      1.480306875938075,
      1.4633972056330196,
      1.4468251698514458,
      1.4305792572249694,
      1.4146483519160085,
      1.3990217737522395,
      1.3836896053110765,
      1.3686424950755265,
      1.3538713708504675,
      1.3393676582627103,
      1.325123146126584,
      1.3111297949099807,
      1.297379766848577,
      1.2838654459549488,
      1.2705794278337792,
      1.2575143017799673,
      1.2446627871681304,
      1.2320179320954836,
      1.219573093926344,
      1.2073219219710183,
      1.195258365746562,
      1.1833767964120563,
      1.1716719753917098,
      1.1601392097074832,
      1.1487740536499629,
      1.1375723584887232,
      1.1265303067647296,
      1.1156443594282712,
      1.1049109733078593,
      1.0943266142819261,
      1.0838877822509618,
      1.0735910299355074,
      1.063432996877283,
      1.0534107458574067,
      1.0435218831463027,
      1.0337640033240736,
      1.0241346064821288,
      1.0146311421787666,
      1.0052510421491085,
      0.9959917439336314,
      0.9868507081342652,
      0.9778254316926078,
      0.9689134567291284,
      0.9601123765097682,
      0.9514198398466535,
      0.9428335535059501,
      0.9343512836165422,
      0.9259708556967575,
      0.917690154896644,
      0.9095071248479119,
      0.9014197665628834,
      0.8934261055510999,
      0.8855242024810415,
      0.8777121858152837,
      0.8699882463193794,
      0.8623506334416327,
      0.8547976515846444,
      0.8473276567316453,
      0.8399390539924679,
      0.8326302950589447,
      0.8253998766433476,
      0.8182463557763247,
      0.8111686477986245,
      0.8041664706317807,
      0.7972399758788279,
      0.7903894838018096,
      0.7836147430218251,
      0.7769149646025437,
      0.7702892488458138,
      0.7637366228935523,
      0.757256068718491,
      0.750846543295099,
      0.7445069927374075,
      0.7382363617695129,
      0.7320336012048867,
      0.7258976729767799,
      0.719827553043922,
      0.713822233787809,
      0.7078807254803998,
      0.702002057341058,
      0.6961852776806322,
      0.6904294543602917,
      0.6847336744253709,
      0.6790970442408283,
      0.6735186889883248,
      0.6679977521632843,
      0.6625333956599986,
      0.6571247989219461,
      0.6517711587617157,
      0.6464717036368008,
      0.6412259876605086,
      0.636033728183403,
      0.6308945149520067,
      0.6258078504938246,
      0.6207731786425577,
      0.6157899045409313,
      0.6108574097457303,
      0.6059750621004343,
      0.6011422234101635,
      0.5963583318993073,
      0.5916231922909903,
      0.5869366336658488,
      0.5822983473731069,
      0.5777079311231385,
      0.5731649197173323,
      0.5686688066936553,
      0.5642190595524563,
      0.5598151305197765,
      0.5554564642069294,
      0.5511425026757728,
      0.546872689148298,
      0.5426464706794537,
      0.5384632996765456,
      0.5343226353398207,
      0.5302239439107977,
      0.526166699435692,
      0.5221503842591303,
      0.5181744887668762,
      0.5142388379595599,
      0.5103435504139265,
      0.5064885855164815,
      0.5026737642427598,
      0.4988988127719483,
      0.49516339323324027,
      0.4914671249177665,
      0.4878095993602303,
      0.4841903908681438,
      0.4806090641122528,
      0.4770651789823636,
      0.4735582941764401,
      0.4700879696886088,
      0.4666537684084931,
      0.46325525742400514,
      0.45989200867630686,
      0.45656359937688373,
      0.4532696123678008,
      0.4500096363756853,
      0.44678326583050243,
      0.4435901012669407,
      0.44042974901287396,
      0.4373018212842932,
      0.4342059360768163,
      0.43114171698113574,
      0.428108793253805,
      0.4251067996852294,
      0.4221353763934131,
      0.41919416872032933,
      0.416282827409898,
      0.4134010081524605,
      0.41054837163987745,
      0.40772458367350045,
      0.40492931461412096,
      0.40216223959667124,
      0.3994230383918186,
      0.39671139534663463,
      0.3940269992264699,
      0.39136954326345597,
      0.3887387248522132,
      0.3861342456047068,
      0.38355581138274464,
      0.3810031320801596,
      0.37847592140849473,
      0.37597389709245327,
      0.3734967806624589,
      0.37104429745442163,
      0.3686161764604658,
      0.366212150438418,
      0.3638319556177446,
      0.36147533163876167,
      0.35914202157123676,
      0.3568317719627734,
      0.35454433268790986,
      0.3522794568776087,
      0.35003690095476975,
      0.34781642431773097,
      0.3456177895872678,
      0.3434407623746555,
      0.34128511130822564,
      0.3391506671232537,
      0.33703738835926017,
      0.3349452046034924,
      0.3328739987288068,
      0.3308236214824673,
      0.32879390182969387,
      0.3267846043708713,
      0.32479537348329274,
      0.322825873426182,
      0.3208758081131941,
      0.3189449103261016,
      0.3170329339426721,
      0.31513964875643735,
      0.3132648364570286,
      0.3114082878583951,
      0.3095698008433729,
      0.3077491791184852,
      0.30594623113916486,
      0.3041607693028758,
      0.3023926092926641,
      0.3006415698617885,
      0.298907472651171,
      0.2971901417981741,
      0.2954894037161484,
      0.2938050871463613,
      0.2921370229988593,
      0.2904850443002577,
      0.2888489860567836,
      0.2872286853382222,
      0.2856239811248002,
      0.2840347142728739,
      0.282460727382839,
      0.2809018650909523,
      0.2793579970947107,
      0.27782901111732156,
      0.27631478496563944,
      0.2748151893003426,
      0.27333008997987535,
      0.2718593499895033,
      0.2704028309250829,
      0.2689603935150452,
      0.2675318986332092,
      0.2661172075085532,
      0.26471618217609655,
      0.26332868563595174,
      0.2619545820652106,
      0.2605937368794447,
      0.2592460167720165,
      0.2579112897049598,
      0.25658942504312837,
      0.25528029355186965,
      0.2539837673221147,
      0.2526997015361747,
      0.2514279358520097,
      0.25016832041380327,
      0.2489207151167442,
      0.24768498700225516,
      0.24646100862004336,
      0.2452486570582819,
      0.24404781798893263,
      0.24285838201055993,
      0.24168023969783367,
      0.24051328189129026,
      0.23935739989729726,
      0.23821248584143723,
      0.2370784326293999,
      0.2359551340242161,
      0.23484248478937814,
      0.23374038070744754,
      0.23264871851246485,
      0.23156739596472709,
      0.23049631197977755,
      0.22943536646780877,
      0.2283844606722123,
      0.22734349769065912,
      0.2263123815262834,
      0.225291016943261,
      0.22427930941331223,
      0.22327716522953547,
      0.22228449154620752,
      0.22130119639546814,
      0.22032718870691556,
      0.2193623783170742,
      0.2184066759686602,
      0.2174599940630551,
      0.21652227420656742,
      0.21559347351832875,
      0.2146735364640806,
      0.21376239867632024,
      0.21285998980920096,
      0.21196623547914095,
      0.21108105869372892,
      0.21020438085007073,
      0.20933612256106576,
      0.20847620389299162,
      0.207624544893093,
      0.20678106591298215,
      0.20594568765280646,
      0.2051183313081439,
      0.20429891866719474,
      0.20348737215913235,
      0.20268361491693626,
      0.20188757080442093,
      0.201099164356554,
      0.2003183208873469,
      0.19954496632014562,
      0.19877902752924131,
      0.1980204320226298,
      0.1972691079833044,
      0.19652498431289456,
      0.19578799075357983,
      0.19505805769523796,
      0.19433511623903377,
      0.19361909817416373,
      0.19290993599534273,
      0.19220756287134855,
      0.19151191260389552,
      0.19082291968948678,
      0.19014051942239152,
      0.18946464737683583,
      0.18879522628522666,
      0.18813217184220213,
      0.18747540689333292,
      0.18682485965866888,
      0.18618046234662328,
      0.18554215019015738,
      0.18490986068506493,
      0.18428353312938833,
      0.18366310823295395,
      0.1830485279612697,
      0.18243973537116337,
      0.18183667442513837,
      0.18123928975779788,
      0.18064752672498208,
      0.18006133126408636,
      0.1794806500749707,
      0.17890543039618062,
      0.17833562002501985,
      0.177771167313914,
      0.17721202111799747,
      0.17665813083345835,
      0.17610944636143783,
      0.17556591808650104,
      0.17502749689496694,
      0.1744941341440556,
      0.17396578163272763,
      0.17344239171406495,
      0.17292391721878647,
      0.17241031135483276,
      0.17190152790128013,
      0.171397521034972,
      0.1708982453623068,
      0.1704036559780436,
      0.1699137083220971,
      0.16942835831765515,
      0.16894753981961227,
      0.16847117232236414,
      0.1679991865048329,
      0.16753152161115414,
      0.1670681232613943,
      0.16660894169328266,
      0.16615393059481767,
      0.1657030462039184,
      0.1652562308014773,
      0.16481339217953941,
      0.16437444669549037,
      0.16393932495635283,
      0.16350796796029282,
      0.16308032439773892,
      0.16265634866256518,
      0.16223599702261413,
      0.16181920350760615,
      0.16140587380973515,
      0.1609959184357858,
      0.16058926486634473,
      0.1601858531489171,
      0.1597856327238759,
      0.15938856010716007,
      0.15899459691805548,
      0.1586037086709803,
      0.1582158637731485,
      0.1578310328829822,
      0.15744918834086102,
      0.15707030372087183,
      0.15669435358443246,
      0.1563213133330663,
      0.15595115893704348,
      0.1555838669528001,
      0.15521941435116057,
      0.1548577784303411,
      0.15449893683177857,
      0.15414286742351535,
      0.1537895483182271,
      0.15343895782197556,
      0.1530910745365918,
      0.1527458771637779,
      0.1524033447681125,
      0.1520634564684646,
      0.15172619154962352,
      0.15139152952995694,
      0.15105945005821403,
      0.15072993297620207,
      0.15040295824222896,
      0.15007850602021003,
      0.14975655666797882,
      0.14943709067533392,
      0.14912008862159834,
      0.14880553133077484,
      0.14849339979859222,
      0.14818367505650076,
      0.14787633829676244,
      0.14757137095338657,
      0.1472687545933537,
      0.14696847085901144,
      0.14667050163355766,
      0.14637482894652637,
      0.1460814146815612,
      0.14579020744150417,
      0.14550116503374116
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991904724461046,
      10.790106300668613,
      10.579350010447081,
      10.361732127523453,
      10.139331905902793,
      9.914022336612275,
      9.687470434129768,
      9.461185640597616,
      9.236544277944027,
      9.014762378037881,
      8.796869529204285,
      8.58369463118219,
      8.375854497042448,
      8.173754159132857,
      7.977597836209509,
      7.7874066402069735,
      7.603041370066199,
      7.424234646936834,
      7.250622152320355,
      7.0817704345423635,
      6.917201227705733,
      6.7564141337127674,
      6.598906128589152,
      6.4441879418736265,
      6.291797562111833,
      6.14131120448219,
      5.992352098970001,
      5.84459038520906,
      5.6977450250019,
      5.551594011458775,
      5.405971726210869,
      5.260777869762169,
      5.115980652250816,
      4.971617984967051,
      4.8277883077895964,
      4.684637610485047,
      4.542363800741689,
      4.401220804773836,
      4.2615122425972345,
      4.123581905938691,
      3.987803117438786,
      3.854567342878164,
      3.7242741299816093,
      3.597319506966809,
      3.474082154145608,
      3.354912958612163,
      3.240129828437849,
      3.1300116500004425,
      3.0247913113065836,
      2.924651980578914,
      2.8297276244608316,
      2.74010373635316,
      2.6558159829056156,
      2.5768421042192857,
      2.50311320390751,
      2.4345206753847,
      2.370926598111377,
      2.3121551218466285,
      2.2579727460161694,
      2.2080824393946084,
      2.1621024705207654,
      2.1196221907414583,
      2.0802204492539094,
      2.0434954861398342,
      2.009050890465617,
      1.976515980653081,
      1.9455928912014915,
      1.9160505839099147,
      1.8877113128662346,
      1.8604356242149975,
      1.834105073469248,
      1.808616170314855,
      1.7838877826667912,
      1.759855580439197,
      1.736472490221011,
      1.7137026242219138,
      1.6915133310065356,
      1.6698750985412973,
      1.6487612414804877,
      1.6281474566125984,
      1.6080114661265075,
      1.5883327307439958,
      1.5690926082751306,
      1.5502742209932947,
      1.5318616147191784,
      1.5138396150849716,
      1.496193786826316,
      1.4789103936773105,
      1.4619764729888673,
      1.4453800845625642,
      1.4291098055327118,
      1.4131545870720335,
      1.3975038114509808,
      1.3821476191227682,
      1.3670766795837797,
      1.3522819178041185,
      1.3377545359422371,
      1.3234861280219006,
      1.3094687181283353,
      1.295694547783439,
      1.2821560630400541,
      1.2688458416694575,
      1.2557564155812577,
      1.242880564167898,
      1.2302113816254838,
      1.2177422610388144,
      1.2054668791661238,
      1.1933792123944553,
      1.1814736575340075,
      1.1697450698864116,
      1.158189039192531,
      1.1468013351925799,
      1.13557803176825,
      1.1245154121850116,
      1.113609747742573,
      1.1028573305788147,
      1.0922544979928237,
      1.0817976493350479,
      1.0714832586343193,
      1.061308052754615,
      1.051269460841252,
      1.0413650189433128,
      1.0315921601851954,
      1.021948261269092,
      1.0124306767233315,
      1.0030367653048238,
      0.9937639084708565,
      0.9846095241827556,
      0.9755710765488228,
      0.966646082315426,
      0.9578321153117274,
      0.949126809134413,
      0.940527858965945,
      0.9320330216368818,
      0.9236401155819609,
      0.9153470201505718,
      0.9071516747993006,
      0.8990520753349475,
      0.8910462413216725,
      0.8831322325790115,
      0.8753081764693298,
      0.867572263063771,
      0.8599227412127122,
      0.8523579145082422,
      0.8448761384657916,
      0.8374758176597756,
      0.8301554033276989,
      0.822913391703633,
      0.8157485960672572,
      0.8086606251698599,
      0.8016495724432601,
      0.7947157795337786,
      0.7878592920160942,
      0.7810793118642234,
      0.7743748438422607,
      0.7677448385128918,
      0.761188215106805,
      0.7547038780258379,
      0.7482907280966299,
      0.741947670899577,
      0.735673622302891,
      0.7294675124431453,
      0.7233282881949313,
      0.7172549149301289,
      0.7112463776535172,
      0.7053016815744323,
      0.6994198523755348,
      0.6935999359551399,
      0.6878409985382781,
      0.6821421262705455,
      0.6765024248579652,
      0.6709210192053148,
      0.6653970527759926,
      0.6599296874899688,
      0.6545181031705708,
      0.6491614969753624,
      0.6438593132144358,
      0.6386112586213997,
      0.6334169440241312,
      0.6282758831335882,
      0.6231875237158702,
      0.6181512702190386,
      0.6131664998826564,
      0.6082325739074459,
      0.6033488458834572,
      0.5985147354061477,
      0.5937300266662363,
      0.5889945493569427,
      0.5843079917013594,
      0.5796699458100089,
      0.5750799392061328,
      0.5705374572354912,
      0.5660419583381128,
      0.5615928854141957,
      0.5571896733964214,
      0.5528317546831393,
      0.5485185629602745,
      0.5442495356037599,
      0.5400241156893907,
      0.5358417530337565,
      0.5317019047023993,
      0.5276040358290847,
      0.5235476199104807,
      0.5195321386288297,
      0.5155573978697676,
      0.5116235123724474,
      0.5077304426702853,
      0.5038780082731703,
      0.5000659318391664,
      0.4962938706234735,
      0.4925614384122392,
      0.48886822061146834,
      0.4852137852128635,
      0.4815976901833481,
      0.4780194886269256,
      0.474478732474881,
      0.4709749750486147,
      0.46750777258120424,
      0.46407668546658365,
      0.46068127921632135,
      0.4573211246703521,
      0.45399579842983184,
      0.45070488300541955,
      0.44744796686056804,
      0.4442246445289541,
      0.44103451660345555,
      0.43787718954650134,
      0.43475227575466735,
      0.43165939334349235,
      0.4285981662893486,
      0.4255682240380073,
      0.42256920152137495,
      0.4196007391756681,
      0.41666248265614847,
      0.41375408283341025,
      0.41087519566459846,
      0.4080254820158158,
      0.4052046076903894,
      0.40241224333219683,
      0.3996480643321002,
      0.3969117506608134,
      0.3942029868063237,
      0.3915214617142091,
      0.388866868654827,
      0.38623890519517745,
      0.3836372731746967,
      0.38106167848025896,
      0.37851183110507053,
      0.375987444905509,
      0.3734882378194541,
      0.3710139315035356,
      0.3685642513046739,
      0.36613892633717765,
      0.36373768928337996,
      0.3613602764530932,
      0.3590064277199218,
      0.356675886257993,
      0.3543683987406629,
      0.3520837150852626,
      0.34982158848208544,
      0.34758177524912226,
      0.3453640349451544,
      0.34316813018222725,
      0.3409938266456833,
      0.33884092305102215,
      0.3367093572190546,
      0.3345990729053833,
      0.33250996182613285,
      0.3304418802073865,
      0.32839465794496164,
      0.3263680003333369,
      0.324361544162711,
      0.3223749726158456,
      0.3204080022671996,
      0.3184603741270712,
      0.3165318474423557,
      0.3146221950475769,
      0.3127312000208951,
      0.310858653479846,
      0.30900435301318535,
      0.30716810129717353,
      0.3053497055028557,
      0.30354897635942696,
      0.3017657279265769,
      0.29999977714621834,
      0.2982509436174754,
      0.29651904946673496,
      0.29480391914746373,
      0.2931053793721375,
      0.2914232590365521,
      0.2897573891872865,
      0.288107602891866,
      0.286473735164612,
      0.28485562310005186,
      0.2832531056295099,
      0.2816660235107435,
      0.2800942225513227,
      0.27853757710199206,
      0.2769959713701573,
      0.2754692794581921,
      0.2739573687303682,
      0.27246010232391843,
      0.2709773407764446,
      0.2695089432599689,
      0.26805476852736027,
      0.26661467555004326,
      0.26518852368349644,
      0.2637761731756811,
      0.26237748534572825,
      0.2609923227524855,
      0.25962054902164566,
      0.2582620292479887,
      0.25691662996862735,
      0.2555842189871678,
      0.2542646655444552,
      0.252957832469329,
      0.2516635574422429,
      0.25038168372399555,
      0.24911206542410697,
      0.24785456477464204,
      0.24660905024708402,
      0.245375395060538,
      0.24415347599872145,
      0.2429431728371898,
      0.2417443694209473,
      0.24055695717490988,
      0.23938082920077774,
      0.23821587819720977,
      0.2370619967553688,
      0.23591907781824342,
      0.23478701482207465,
      0.23366570200391026,
      0.23255503441868014,
      0.23145490793284446,
      0.23036521943627938,
      0.22928586680275698,
      0.22821674965447206,
      0.227157769203851,
      0.22610882733710186,
      0.22506982667917416,
      0.22404067062219418,
      0.2230212634197673,
      0.222011510169186,
      0.22101131683417047,
      0.2200205903847909,
      0.21903923867293226,
      0.21806717045071566,
      0.21710431894688415,
      0.21615063963360878,
      0.2152060772190134,
      0.21427056676133385,
      0.2133440366756641,
      0.21242641090032663,
      0.21151761051153598,
      0.21061755485556397,
      0.20972616221595758,
      0.20884335029782003,
      0.2079690367603319,
      0.2071031394940379,
      0.20624557677135627,
      0.20539626727061247,
      0.20455513039390932,
      0.2037220861037448,
      0.20289705518109957,
      0.2020799590407726,
      0.2012707198415574,
      0.20046926048403207,
      0.1996755047381679,
      0.1988893770937784,
      0.19811080277876333,
      0.1973397077035245,
      0.19657601861090826,
      0.1958196629619826,
      0.19507056902763395,
      0.19432866577943322,
      0.1935938829099196,
      0.1928661508172328,
      0.19214540063017885,
      0.1914315640703239,
      0.19072457365979123,
      0.19002435489382125,
      0.18933082000842893,
      0.1886438857342399,
      0.18796347496896498,
      0.1872895152830407,
      0.18662193764640048,
      0.18596067581688352,
      0.18530566554812264,
      0.1846568442375075,
      0.18401415072012875,
      0.18337752485147385,
      0.1827469075267856,
      0.18212224042388592,
      0.18150346605420123,
      0.1808905276897913,
      0.18028336920374544,
      0.1796819350400383,
      0.17908617032518,
      0.1784960207789668,
      0.17791143251266708,
      0.17733235238817452,
      0.17675872779487037,
      0.17619050654271529,
      0.1756276369985399,
      0.1750700680589678,
      0.17451774907409898,
      0.17397062995108128,
      0.17342866111978417,
      0.17289179352549583,
      0.17235997849651116,
      0.1718331678546148,
      0.17131131396375118,
      0.1707943695769845,
      0.17028228787582114,
      0.16977502258729762,
      0.16927252784851962,
      0.16877475833997757,
      0.16828165179256302,
      0.1677931262146295,
      0.16730910839746965,
      0.16682953452390728,
      0.16635434761104276,
      0.16588349571710584,
      0.1654169306890507,
      0.16495460709016424,
      0.16449647876044046,
      0.16404246509105924,
      0.16359247206037605,
      0.16314642257646714,
      0.1627042518425151,
      0.16226590405049163,
      0.16183133001899194,
      0.16140046972832103,
      0.16097322519540652,
      0.16054949659017612,
      0.1601292036663887,
      0.15971228052946085,
      0.1592986720072843,
      0.1588883308189235,
      0.15848121563893736,
      0.15807728950895827,
      0.15767651888315734,
      0.15727887261032725,
      0.15688432154884183,
      0.1564928378772025,
      0.1561043950143423,
      0.15571896719438755,
      0.15533652940115342,
      0.15495705715891198,
      0.15458052638251504,
      0.15420691340706813,
      0.15383619491757253,
      0.1534683479877249,
      0.15310334984048624,
      0.1527411779081433,
      0.15238180994395992,
      0.15202522390607942,
      0.15167139795032686,
      0.15132031040459415,
      0.1509719397821004,
      0.15062626476985141,
      0.15028326424945612,
      0.14994291727426073,
      0.1496052030979624,
      0.1492701011149176,
      0.14893759083264277,
      0.1486076520357668,
      0.1482802645309411,
      0.14795540844551267,
      0.1476330639928413,
      0.1473132115115249,
      0.1469958315433149,
      0.14668090481621143,
      0.14636841214565333,
      0.14605833452054015,
      0.14575065304351226,
      0.14544534899258194,
      0.14514239023016787,
      0.14484172496838799,
      0.14454330729563994,
      0.14424709917814643,
      0.1439530683290604,
      0.14366118679968068,
      0.14337142994977342
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991883712969198,
      10.790037583477696,
      10.579212347311316,
      10.36150946401001,
      10.139013402635008,
      9.913601726878401,
      9.68694573572631,
      9.46055795890793,
      9.23581612979174,
      9.013937544039667,
      8.795952392977489,
      8.5826896458723,
      8.3747658710429,
      8.172585605088194,
      7.976352387048512,
      7.786086205915788,
      7.601646924692108,
      7.422766466917514,
      7.249079965303659,
      7.080153397544431,
      6.915508028892236,
      6.754643137009324,
      6.5970555332633785,
      6.442255947126559,
      6.289782533339431,
      6.139211839192493,
      5.990167588598272,
      5.8423207065939256,
      5.695390977884523,
      5.549157307674217,
      5.403455104897564,
      5.258184921393937,
      5.113316198301793,
      4.968888126703555,
      4.825000230561787,
      4.681799976011112,
      4.5394866286710815,
      4.398315213766012,
      4.258590287663763,
      4.12065637274834,
      3.9848872796388197,
      3.8516746928316965,
      3.721418258547978,
      3.594513705546263,
      3.4713393082369026,
      3.3522454093184204,
      3.237548803292666,
      3.1275268796206475,
      3.0224106422737465,
      2.9223817846648745,
      2.827572816315997,
      2.7380677944348917,
      2.653900643290155,
      2.57504712320386,
      2.501436551466162,
      2.432959083457497,
      2.3694757101252577,
      2.3108082401405046,
      2.256720530322278,
      2.206912876328508,
      2.1610014085369875,
      2.1185753221541073,
      2.0792137589989967,
      2.0425164002308556,
      2.0080869243819524,
      1.9755568605247726,
      1.944631009247997,
      1.915080337798986,
      1.886728504697558,
      1.8594371743926381,
      1.8330886597780824,
      1.8075800550372791,
      1.7828307807784127,
      1.7587768088483753,
      1.7353708027181665,
      1.7125771522082298,
      1.6903635441910423,
      1.6687007019992108,
      1.6475621171171078,
      1.626923618464601,
      1.6067630255517547,
      1.5870598694100073,
      1.5677953364526096,
      1.5489525163590045,
      1.5305155442005358,
      1.5124693116228094,
      1.4947994311164627,
      1.4774922004928408,
      1.460534567849082,
      1.443914340055871,
      1.4276201478614277,
      1.4116410205963577,
      1.395966412241953,
      1.3805865281046978,
      1.3654920639880195,
      1.350673963537989,
      1.3361234413129668,
      1.3218319969281196,
      1.3077914221327456,
      1.293993864622944,
      1.2804318388560636,
      1.267097878103847,
      1.25398454062112,
      1.2410846797605755,
      1.2283914477527456,
      1.2158982828760994,
      1.2035989115098074,
      1.1914874791458747,
      1.1795586184045517,
      1.1678073645541847,
      1.156229315041431,
      1.1448204697036775,
      1.1335769403079432,
      1.1224948325215447,
      1.1115702792571573,
      1.1007994645769013,
      1.0901786408807375,
      1.0797041410241686,
      1.0693724368001887,
      1.0591806521075684,
      1.0491262666991688,
      1.0392066505028335,
      1.0294191092134826,
      1.0197609215935641,
      1.0102293673114329,
      1.0008217476784749,
      0.9915354000072445,
      0.9823677081352836,
      0.973316109871536,
      0.96437810176156,
      0.9555512420193369,
      0.946833152215458,
      0.9382215180033249,
      0.9297140887036144,
      0.9213086771423136,
      0.9130031583380169,
      0.9047954680223486,
      0.896683597042649,
      0.8886655598226355,
      0.8807394154268342,
      0.8729032905694232,
      0.8651553747255912,
      0.8574939160457838,
      0.8499172176705957,
      0.8424236344506747,
      0.8350115705366954,
      0.8276794769801612,
      0.8204260531875965,
      0.8132507724430219,
      0.8061536675312656,
      0.7991350414415163,
      0.7921951693210082,
      0.7853334390751191,
      0.7785487430759497,
      0.7718399433775461,
      0.7652058873844724,
      0.7586454201121734,
      0.7521573920876292,
      0.7457406654620665,
      0.7393941181033397,
      0.7331166460413305,
      0.7269071652211392,
      0.7207646124722242,
      0.7146879463130159,
      0.7086761468355599,
      0.7027282158202384,
      0.6968431766790851,
      0.6910200739018617,
      0.6852579727202527,
      0.6795559587403075,
      0.6739131373930558,
      0.6683286334354038,
      0.6628015904022192,
      0.6573311704701873,
      0.651916553667439,
      0.6465570632911085,
      0.641252379327271,
      0.6360021367820666,
      0.6308058625858738,
      0.6256630101849224,
      0.6205729839847416,
      0.6155351572320876,
      0.6105488848662677,
      0.6056135121188182,
      0.6007284382729781,
      0.5958934237836524,
      0.5911083000787849,
      0.5863727533055012,
      0.581686370652788,
      0.5770486728803014,
      0.5724591371383637,
      0.5679172130521177,
      0.5634223340046638,
      0.5589739252337813,
      0.5545714094820949,
      0.5502142105508988,
      0.5459017560176046,
      0.5416334790761309,
      0.5374088200166208,
      0.5332272267909496,
      0.529088155380583,
      0.5249910701723475,
      0.5209354441158072,
      0.5169210582327962,
      0.5129480225223335,
      0.5090163005182826,
      0.5051257113975224,
      0.5012759751201372,
      0.49746674471154423,
      0.4936976285657107,
      0.48996820617831033,
      0.4862780391692638,
      0.48262667885363836,
      0.4790136714811348,
      0.475438562155443,
      0.47190089726893814,
      0.4684002263784789,
      0.464936103223707,
      0.4615080865542771,
      0.4581157407439097,
      0.4547586360415834,
      0.4514363487164076,
      0.4481484612239995,
      0.4448945619896604,
      0.441674245672297,
      0.4384871129447332,
      0.43533277045153984,
      0.4322108307416238,
      0.42912091212465125,
      0.4260626388338537,
      0.42303564052860476,
      0.4200395524092058,
      0.4170740150271331,
      0.4141386743010162,
      0.4112331812802221,
      0.4083571921140345,
      0.4055103678702983,
      0.4026923746108884,
      0.3999028831392077,
      0.3971415690048279,
      0.39440811230739353,
      0.39170219778325566,
      0.38902351451375,
      0.38637175586553635,
      0.3837466195354345,
      0.38114780747179594,
      0.37857502572332036,
      0.3760279843164778,
      0.37350639731452495,
      0.3710099826261853,
      0.3685384619448486,
      0.3660915608443063,
      0.3636690085477127,
      0.3612705378537133,
      0.3588958850655387,
      0.35654479005144,
      0.35421699605527385,
      0.35191224981599123,
      0.3496303012591086,
      0.34737090375186086,
      0.34513381359988343,
      0.34291879038672374,
      0.3407255968599442,
      0.33855400718897927,
      0.3364039259657192,
      0.33427531244446995,
      0.33216806833019547,
      0.33008205590126316,
      0.3280170778864454,
      0.3259727948576197,
      0.3239488656999778,
      0.3219449881884744,
      0.3199608885710254,
      0.31799631403833645,
      0.3160510274534142,
      0.31412480354609734,
      0.31221742615118714,
      0.31032868625166654,
      0.3084583804760465,
      0.3066063102993649,
      0.3047722811555601,
      0.30295610205679047,
      0.3011575852981631,
      0.2993765458269847,
      0.29761280120341405,
      0.29586617150334904,
      0.29413647916349306,
      0.2924235487804745,
      0.2907272071820464,
      0.28904728342668023,
      0.28738360861742923,
      0.28573601579663815,
      0.2841043399337596,
      0.2824884179046822,
      0.28088808857700526,
      0.2793031997914988,
      0.27773363010143864,
      0.27617925927242104,
      0.27463995770935434,
      0.2731155896701145,
      0.27160601561334424,
      0.2701110936900479,
      0.2686306808553376,
      0.2671646337695665,
      0.26571280945468484,
      0.26427506547898544,
      0.26285126017989796,
      0.26144125314195893,
      0.2600449052577883,
      0.2586620785755324,
      0.2572926365942657,
      0.2559364441556632,
      0.25459336750433964,
      0.2532632725843917,
      0.2519460026356687,
      0.2506413928834552,
      0.24934929103662784,
      0.24806955400342823,
      0.2468020456214793,
      0.24554663508673336,
      0.24430319565567535,
      0.24307160395942173,
      0.24185173931629042,
      0.2406434833205992,
      0.23944671954034644,
      0.238261336540686,
      0.23708722880254549,
      0.23592429067676957,
      0.23477241601182705,
      0.2336314984896746,
      0.23250143222762007,
      0.23138211178241885,
      0.230273432422353,
      0.22917529034989184,
      0.22808758362679618,
      0.22701021147691997,
      0.2259430737704899,
      0.22488607106990052,
      0.22383910463877676,
      0.22280207661843626,
      0.22177489011767404,
      0.22075744907631492,
      0.21974965838561347,
      0.2187514239606708,
      0.21776266718648005,
      0.2167833405414868,
      0.21581339008611022,
      0.21485275101412632,
      0.21390135091564394,
      0.21295911241279913,
      0.21202595488514664,
      0.21110179560948594,
      0.21018655062420127,
      0.20928013538437845,
      0.2083824651089443,
      0.20749345517721496,
      0.2066130212835498,
      0.20574107964385743,
      0.20487754703783342,
      0.20402234105665404,
      0.20317537995858387,
      0.20233658267951204,
      0.20150586899813633,
      0.20068315930942615,
      0.19986837493445422,
      0.19906143797528267,
      0.19826227140116284,
      0.1974707988452422,
      0.19668694473423035,
      0.19591063425495064,
      0.19514179336186566,
      0.1943803487615113,
      0.19362622800134727,
      0.1928793592687176,
      0.19213967154825995,
      0.1914070936246122,
      0.19068153982912667,
      0.18996291854994968,
      0.18925114588540606,
      0.188546143640158,
      0.18784783778949457,
      0.18715615755695494,
      0.18647103464427225,
      0.18579240262311278,
      0.18512019670259772,
      0.18445435345209665,
      0.18379481050318186,
      0.18314150644665558,
      0.1824943806945368,
      0.1818533734086327,
      0.18121842557179374,
      0.18058947879486115,
      0.17996647529108026,
      0.17934935791632126,
      0.1787380700716629,
      0.1781325557476065,
      0.17753275967232654,
      0.176938627055357,
      0.17635010360011322,
      0.1757671355053121,
      0.17518966965908808,
      0.17461765335195809,
      0.1740510344748672,
      0.173489761350063,
      0.17293378280552926,
      0.17238304830187226,
      0.17183750771799813,
      0.1712971113928029,
      0.1707618102064803,
      0.17023155553671676,
      0.16970629924196248,
      0.1691859935828102,
      0.16867059133572843,
      0.16816004578125013,
      0.16765430096608963,
      0.1671532738278864,
      0.1666568864269807,
      0.16616507114018014,
      0.165677767949295,
      0.165194922420082,
      0.16471648424971863,
      0.16424240612251942,
      0.16377264309885206,
      0.16330713636489833,
      0.1628457901393127,
      0.16238851699788834,
      0.16193524434433815,
      0.16148591052067163,
      0.16104045806716044,
      0.160598794476767,
      0.16016080761094478,
      0.15972640541255936,
      0.1592955130684017,
      0.1588680686013933,
      0.158444019453434,
      0.15802332008437037,
      0.15760593023387534,
      0.15719181355350254,
      0.15678093677550115,
      0.15637326882974972,
      0.15596878030619624,
      0.15556744310819534,
      0.1551692301809321,
      0.1547741151989762,
      0.154382072568634,
      0.15399307721653824,
      0.15360710448863352,
      0.15322413005033855,
      0.15284412997906005,
      0.15246708062267492,
      0.15209295860546207,
      0.15172174073974154,
      0.15135340410952994,
      0.15098792602205469,
      0.15062528397897063,
      0.15026545566745605,
      0.14990841896453755,
      0.14955415196143448,
      0.14920263284858765,
      0.14885384001101412,
      0.14850775202252953,
      0.1481643477362235,
      0.14782360605134998,
      0.14748550614497266,
      0.1471500272464121,
      0.14681714878739374,
      0.14648685043821993,
      0.14615911196685213,
      0.14583391335928544,
      0.14551123471772115,
      0.14519105626126416,
      0.14487335844148175,
      0.14455812181059247,
      0.1442453218994062,
      0.14393490973945403,
      0.14362683433410714,
      0.143321053609083,
      0.14301753215753066,
      0.14271623963451036,
      0.1424171494320354,
      0.142120237794702,
      0.14182548306707493,
      0.14153286526098333,
      0.14124236562288883
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991862649801597,
      10.789968585348287,
      10.579074049752819,
      10.361285706766783,
      10.138693311205294,
      9.913178986527694,
      9.686418283865907,
      9.459926861057841,
      9.235083838396507,
      9.013107779226653,
      8.795029518256632,
      8.581678101512368,
      8.37366985771333,
      8.171408830125241,
      7.975097881229569,
      7.784755884513932,
      7.600241768796373,
      7.421286784416112,
      7.247525506531634,
      7.078523312941891,
      6.913800997102561,
      6.752857513821587,
      6.595189509678874,
      6.440307714849562,
      6.2877504522442855,
      6.1370946039886185,
      5.987964391719914,
      5.840031525641751,
      5.693016616251011,
      5.5466994886539265,
      5.400916582283663,
      5.255569315859942,
      5.110628369734052,
      4.966134223804808,
      4.822187500449712,
      4.678937154082872,
      4.536583815250407,
      4.395383613494113,
      4.255642046065377,
      4.1177043677272716,
      3.981944876536363,
      3.848755487955812,
      3.7185359415473447,
      3.5916816460105156,
      3.468570415029986,
      3.3495520849948286,
      3.234942329314942,
      3.1250170016289593,
      3.0200052214852677,
      2.9200872370822966,
      2.8253940939646474,
      2.736008406423237,
      2.6519621210216875,
      2.5732292594420985,
      2.4997373461699217,
      2.4313752952845507,
      2.3680030081730545,
      2.3094398852031666,
      2.2554472063236606,
      2.2057224712622054,
      2.1598798114321545,
      2.1175081289564783,
      2.0781868829772416,
      2.0415170975633536,
      2.007102764081693,
      1.974577683266348,
      1.9436492893264603,
      1.9140905305398257,
      1.88572645132345,
      1.8584198223768724,
      1.8320537029834958,
      1.8065257627503417,
      1.7817559701712546,
      1.7576805958939126,
      1.734252034339126,
      1.7114349363719832,
      1.6891973445272315,
      1.6675102168925824,
      1.6463472215610528,
      1.6256843188853483,
      1.6054994252812358,
      1.5857721424121396,
      1.566483585888798,
      1.5476166867677288,
      1.5291556755074427,
      1.511085514090234,
      1.4933918664357948,
      1.476061067147452,
      1.45908008983654,
      1.4424365335395308,
      1.4261188657239188,
      1.410116208264078,
      1.3944180982668866,
      1.3790148157588489,
      1.3638970900479706,
      1.3490558891015596,
      1.3344824444274588,
      1.3201682667204857,
      1.306105155097522,
      1.2922852000918021,
      1.2787007393181273,
      1.2653441410621542,
      1.2522079896507348,
      1.2392852263716079,
      1.2265691231993463,
      1.2140532599057372,
      1.201731503694233,
      1.1895980345890884,
      1.1776474571556932,
      1.1658749105538218,
      1.1542762962857382,
      1.1428476072143126,
      1.13158482300116,
      1.12048394629256,
      1.1095410289473076,
      1.0987521911848888,
      1.0881136352029006,
      1.0776216902559848,
      1.06727314857739,
      1.0570653118019,
      1.0469954985099696,
      1.0370609515523872,
      1.0272588790141373,
      1.0175864849071623,
      1.0080409914489237,
      0.9986196553329566,
      0.9893197798264397,
      0.9801387224893974,
      0.9710739008463106,
      0.962122795537952,
      0.9532829525629228,
      0.9445519839249688,
      0.9359275677299516,
      0.9274074476535227,
      0.9189894315964804,
      0.9106713909719273,
      0.9024512585045821,
      0.8943270208969658,
      0.8862966874300467,
      0.8783583165098662,
      0.8705100344494869,
      0.8627500302725264,
      0.8550765516753684,
      0.8474879012880158,
      0.8399824332893108,
      0.8325585514004338,
      0.825214835425912,
      0.8179506132604841,
      0.8107658822324221,
      0.8036608894883813,
      0.7966359462434138,
      0.7896907486771089,
      0.7828242036471774,
      0.7760350663531557,
      0.7693220990916867,
      0.7626840773653788,
      0.7561197943106773,
      0.7496280635145638,
      0.743207720386497,
      0.7368576236236352,
      0.7305766556340239,
      0.7243637227146857,
      0.7182177548638716,
      0.7121377057928733,
      0.7061225522266796,
      0.7001712937445156,
      0.69428295235057,
      0.6884565716007456,
      0.6826912161274792,
      0.6769859712606507,
      0.671339942442619,
      0.6657522546185025,
      0.6602220516288675,
      0.6547484958112705,
      0.649330826660798,
      0.6439686394596856,
      0.6386615987380535,
      0.6334092483173184,
      0.628211049624532,
      0.6230664088531985,
      0.617974696701553,
      0.6129352620982608,
      0.6079474424525813,
      0.6030106137458745,
      0.5981245085630935,
      0.5932889626667115,
      0.5885036612778675,
      0.5837681873883582,
      0.579082055373123,
      0.574444734529192,
      0.5698556656946593,
      0.5653142728838064,
      0.5608199716561841,
      0.5563721746543704,
      0.5519702957552957,
      0.5476137525949347,
      0.543301968698228,
      0.5390343745094738,
      0.5348104081682794,
      0.5306295162390123,
      0.526491154066223,
      0.5223947855305222,
      0.518340159740217,
      0.5143273810680634,
      0.5103564181925089,
      0.5064270914770627,
      0.5025391193146556,
      0.4986921511711593,
      0.49488579059180626,
      0.491119611276315,
      0.48739316848998504,
      0.48370600686767445,
      0.48005766601202804,
      0.4764476841596094,
      0.47287560064108014,
      0.4693409581114954,
      0.4658433035412887,
      0.4623821890412646,
      0.4589571722705168,
      0.4555678169386405,
      0.45221369287042,
      0.44889437614305044,
      0.4456094490935157,
      0.44235850027324514,
      0.439141124452713,
      0.43595692244733186,
      0.43280550109587573,
      0.4296864732136874,
      0.42659945741970895,
      0.4235440780150734,
      0.4205199649141961,
      0.4175267534747457,
      0.41456408450800153,
      0.41163160411260047,
      0.40872896353629595,
      0.4058558191665206,
      0.40301183229499515,
      0.4001966690367769,
      0.3974100003284737,
      0.39465150177657177,
      0.3919208536864234,
      0.3892177408403843,
      0.38654185253336787,
      0.3838928823064388,
      0.38127052801440103,
      0.3786744916931616,
      0.3761044794304589,
      0.37356020139306945,
      0.3710413717047085,
      0.368547708353397,
      0.3660789331533075,
      0.3636347716848723,
      0.3612149533409454,
      0.3588192109192435,
      0.3564472808288253,
      0.3540989029442669,
      0.3517738206422703,
      0.349471780715547,
      0.34719253316346194,
      0.34493583116499643,
      0.3427014311571792,
      0.3404890927653899,
      0.33829857873808344,
      0.33612975218426,
      0.33398257451310664,
      0.33185695983759617,
      0.32975277843713624,
      0.327669785098294,
      0.32560762832045387,
      0.32356598630787214,
      0.32154456985745916,
      0.31954311386500955,
      0.317561370923779,
      0.3155991069553263,
      0.31365609807970934,
      0.31173212837048814,
      0.3098269883853577,
      0.30794047384263706,
      0.3060723847961015,
      0.30422252516466686,
      0.30239070206864016,
      0.3005767256443902,
      0.29878040877680473,
      0.29700156700395713,
      0.29524001829982344,
      0.2934955830283546,
      0.2917680837242393,
      0.29005734513291404,
      0.28836319403888594,
      0.2866854594929407,
      0.2850239725481993,
      0.2833785661532296,
      0.28174907539265803,
      0.28013533716024536,
      0.2785372024895359,
      0.2769545515153468,
      0.275387259896169,
      0.2738351946398256,
      0.27229821702498186,
      0.2707761847740893,
      0.26926895379014193,
      0.26777637887975925,
      0.2662983146729941,
      0.2648346161330005,
      0.2633851389251899,
      0.2619497397228903,
      0.26052827634942777,
      0.2591206078968825,
      0.257726594796977,
      0.25634609881842124,
      0.25497898319483336,
      0.2536251126926128,
      0.2522843393367031,
      0.2509564946284786,
      0.24964141871287146,
      0.24833896236980302,
      0.2470489843929356,
      0.24577134944182857,
      0.24450592694552337,
      0.2432525899460994,
      0.24201121448888024,
      0.24078167909877282,
      0.2395638644684507,
      0.23835765312760443,
      0.23716292937268074,
      0.23597957917612747,
      0.23480749498577558,
      0.23364657286470727,
      0.23249670783697388,
      0.23135779458409766,
      0.2302297277445273,
      0.22911240265682742,
      0.22800571621952354,
      0.22690956599973786,
      0.22582385004361055,
      0.22474846685257305,
      0.22368331578034747,
      0.222628296948665,
      0.22158331135618167,
      0.2205482609005408,
      0.2195230484665415,
      0.21850758407010337,
      0.21750181183391668,
      0.216505680566019,
      0.21551912648519822,
      0.21454207722866,
      0.2135744544766936,
      0.2126161762358227,
      0.2116671578349962,
      0.21072731319110172,
      0.20979655540655326,
      0.20887479719774793,
      0.20796195147451274,
      0.20705793141018564,
      0.20616265066524414,
      0.20527602347198337,
      0.20439796483547032,
      0.20352839032964937,
      0.20266721635316268,
      0.20181436012055715,
      0.2009697395924634,
      0.20013327363725006,
      0.1993048818519732,
      0.19848448462748888,
      0.19767200327967174,
      0.1968673598275632,
      0.196070477155381,
      0.1952812789228433,
      0.19449968954190788,
      0.19372563414305669,
      0.19295903868387648,
      0.19219982660193152,
      0.19144790513666124,
      0.19070318080078785,
      0.18996556756817193,
      0.18923498491436191,
      0.18851135643823425,
      0.1877946088680275,
      0.18708467143534663,
      0.18638147529644253,
      0.18568495312587707,
      0.1849950389450081,
      0.1843116678788095,
      0.18363477598023942,
      0.18296430017246895,
      0.1823001783341794,
      0.18164234890447015,
      0.18099075106277646,
      0.18034532468182507,
      0.17970601019411864,
      0.1790727487912575,
      0.1784454822313865,
      0.17782415283950231,
      0.17720870352240056,
      0.1765990778365673,
      0.175995219816655,
      0.17539707402178872,
      0.17480458568556043,
      0.17421770048664278,
      0.17363636471536953,
      0.17306052521360202,
      0.17249012931637636,
      0.17192512480803918,
      0.1713654599816877,
      0.17081108375137197,
      0.17026194548650517,
      0.1697179950770463,
      0.16917918293676348,
      0.16864545988119667,
      0.16811677723600077,
      0.16759308687089192,
      0.16707433748406808,
      0.16656045149764787,
      0.16605134469733684,
      0.1655469445729041,
      0.16504718726831233,
      0.16455201529175315,
      0.1640613757144036,
      0.1635752190863031,
      0.16309349858814387,
      0.1626161693331532,
      0.16214315445359379,
      0.16167435413112158,
      0.16120968555099405,
      0.1607490792297366,
      0.16029245776658005,
      0.1598397011896463,
      0.15939069962284683,
      0.15894536476328963,
      0.15850362437169496,
      0.15806541805890667,
      0.15763069427598556,
      0.15719940807600546,
      0.15677151946752005,
      0.15634699216226508,
      0.15592579258518263,
      0.15550788923201425,
      0.15509325220659065,
      0.1546818529615061,
      0.15427366385282537,
      0.15386865799761953,
      0.1534668091022892,
      0.15306809138855634,
      0.15267247954693794,
      0.15227994861555652,
      0.1518904739876296,
      0.1515040312672407,
      0.15112059638083722,
      0.15074014546052103,
      0.15036265496999104,
      0.14998810148815966,
      0.14961646180492771,
      0.14924771289043018,
      0.1488818319286878,
      0.14851879631360626,
      0.14815858369056023,
      0.14780117186527614,
      0.14744653874487731,
      0.14709466247681133,
      0.14674552133395433,
      0.14639909389299172,
      0.14605535878744122,
      0.14571429490008866,
      0.1453758812510083,
      0.14504009700024753,
      0.14470692146406894,
      0.14437633421445129,
      0.14404831489304795,
      0.14372284328643045,
      0.1433998993954013,
      0.14307944577508305,
      0.14276142685166845,
      0.14244579494244963,
      0.14213251032369195,
      0.14182153928424407,
      0.14151285248210255,
      0.14120642401142092,
      0.14090223048902087,
      0.1406002505641205,
      0.14030046420686745,
      0.1400028525555712,
      0.13970739762822154,
      0.13941408205023462,
      0.13912288899441486
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991842006796364,
      10.789900292819985,
      10.578936612918207,
      10.361062841987717,
      10.138374042810497,
      9.912756917281191,
      9.685891476914374,
      9.459296297080993,
      9.234351894319667,
      9.012278105263718,
      8.794106415639044,
      8.580665956184417,
      8.37257282586754,
      8.170230581335527,
      7.9738414154448485,
      7.783423100509335,
      7.59883364004068,
      7.419803612704675,
      7.2459670351922165,
      7.076888688961683,
      6.912088898665249,
      6.751066297356804,
      6.5933173681487665,
      6.4383528436135,
      6.285711216169526,
      6.134969704486792,
      5.98575303050215,
      5.837733688987264,
      5.6906331185201235,
      5.544232066830433,
      5.398367835234206,
      5.252942907354655,
      5.107929204631913,
      4.963368497984764,
      4.819362516117176,
      4.676061707994308,
      4.533668071172794,
      4.392438839031847,
      4.252680448579159,
      4.114738885077934,
      3.978988930808751,
      3.8458227831139085,
      3.7156402615550728,
      3.5888363899279656,
      3.46578844755501,
      3.3468457667822307,
      3.232322961068055,
      3.122494145755962,
      3.0175867736341955,
      2.9177796442853485,
      2.8232023352104147,
      2.733936014493986,
      2.6500105271161476,
      2.5713982847750176,
      2.4980250183341304,
      2.4297784009411667,
      2.3665172468847073,
      2.308058547587414,
      2.2541609141538865,
      2.2045186987953174,
      2.1587445796682094,
      2.1164271612592516,
      2.077146114840701,
      2.040503820169687,
      2.0061046725173477,
      1.9735847139445504,
      1.9426539864013952,
      1.9130873964873143,
      1.8847113594605667,
      1.8573897433725188,
      1.831006344439019,
      1.8054594020117682,
      1.780669427271309,
      1.7565729852065635,
      1.733122196706634,
      1.7102819643446967,
      1.6880206966399383,
      1.66630958543686,
      1.6451224748641575,
      1.624435456710606,
      1.6042265441626777,
      1.5844754093417068,
      1.5651631691159964,
      1.5462725689070578,
      1.527787861378797,
      1.5096940854318233,
      1.4919769614233231,
      1.4746228649920856,
      1.4576187986869602,
      1.4409523640908724,
      1.4246117776485714,
      1.4085860616762098,
      1.39286485389332,
      1.3774385225820598,
      1.3622978416636065,
      1.347433811750434,
      1.3328376882113866,
      1.3185009985737963,
      1.3044155529502601,
      1.29057344857488,
      1.276966948264654,
      1.2635883550189422,
      1.2504302846521544,
      1.237485701930711,
      1.2247478959368128,
      1.2122104586054825,
      1.1998672653228455,
      1.1877125093115304,
      1.175741002734814,
      1.163948188895876,
      1.1523299249561547,
      1.1408820963487223,
      1.1296005984428126,
      1.1184813676262868,
      1.107520403461377,
      1.0967137850941624,
      1.086057705081931,
      1.0755487387399112,
      1.0651838942461738,
      1.0549604083719777,
      1.0448754666878228,
      1.0349262097397771,
      1.025109767196906,
      1.015423282727728,
      1.0058639322178309,
      0.9964289367615793,
      0.987115571903607,
      0.9779211738874405,
      0.9688431434588941,
      0.9598789484289373,
      0.951026124772152,
      0.9422822765943472,
      0.9336450759089354,
      0.9251122611761402,
      0.916681636710956,
      0.908351070588205,
      0.9001184928924778,
      0.8919818863933934,
      0.8839392555417612,
      0.875988658397939,
      0.8681282207801798,
      0.8603561313200602,
      0.8526706370662189,
      0.8450700402503508,
      0.8375526947983314,
      0.83011708168302,
      0.8227623381631056,
      0.815488435511145,
      0.80829555715715,
      0.8011840110836631,
      0.7941536815967629,
      0.787203706966461,
      0.7803327265410542,
      0.7735394051459562,
      0.7668224399579937,
      0.7601805594620488,
      0.7536125229603996,
      0.7471171196750737,
      0.7406931677534417,
      0.7343395135888964,
      0.7280550307238288,
      0.7218386193563625,
      0.7156892052852898,
      0.7096057392123586,
      0.7035871959226594,
      0.6976325736767223,
      0.6917408936658652,
      0.6859111989485527,
      0.6801425540407625,
      0.6744340443234494,
      0.6687847753980393,
      0.6631938722896596,
      0.6576604791372476,
      0.6521837585833826,
      0.646763202906323,
      0.6413985087539708,
      0.636089238393064,
      0.6308348623424331,
      0.6256347893836932,
      0.6204883876267018,
      0.6153950005114847,
      0.6103539576438516,
      0.605364608908011,
      0.6004266542640239,
      0.5955399358117793,
      0.5907041394638295,
      0.585918845025683,
      0.5811835609732907,
      0.5764977490707223,
      0.5718608413488031,
      0.5672722523228805,
      0.5627313878134617,
      0.5582376504497766,
      0.5537904437843031,
      0.549389175363071,
      0.5450332585858751,
      0.5407221139747656,
      0.5364551700851263,
      0.5322318639371533,
      0.5280516411487909,
      0.5239139564080545,
      0.5198185188762348,
      0.5157654262141622,
      0.5117546551503166,
      0.5077860288268033,
      0.503859265066581,
      0.4999740105640139,
      0.4961298644205221,
      0.492326394970546,
      0.4885631512276522,
      0.48483967112640913,
      0.4811554874544121,
      0.477510131520172,
      0.4739031358683602,
      0.47033403610299673,
      0.4668023722585648,
      0.4633076895210204,
      0.4598495388110694,
      0.4564274771561685,
      0.45304106780272546,
      0.44968988042567637,
      0.44637349108107593,
      0.4430914821568265,
      0.43984344227074557,
      0.4366289662952589,
      0.43344765530549706,
      0.43029911642591506,
      0.427182962652248,
      0.4240988126738418,
      0.4210462910785766,
      0.4180250279233688,
      0.4150346588401489,
      0.412074824864252,
      0.4091451720864717,
      0.4062453519171528,
      0.4033750209459379,
      0.40053384065158226,
      0.3977214772670336,
      0.39493760200265193,
      0.3921818906115315,
      0.3894540235426708,
      0.386753685664641,
      0.38408056629776216,
      0.3814343590967875,
      0.37881476206434667,
      0.3762214772880397,
      0.3736542109352585,
      0.3711126732771567,
      0.36859657851284366,
      0.3661056447245648,
      0.36363959381128014,
      0.3611981514006387,
      0.3587810468667001,
      0.35638801307200113,
      0.3540187865458924,
      0.3516731071582164,
      0.34935071833137676,
      0.34705136682399973,
      0.3447748026717457,
      0.3425207792085667,
      0.34028905293948636,
      0.33807938349418665,
      0.3358915862699379,
      0.33372561571683035,
      0.33158140055907287,
      0.32945880583483683,
      0.3273575443865371,
      0.3252772738022589,
      0.32321768889232116,
      0.3211785115362571,
      0.31915948372128194,
      0.3171603622901014,
      0.31518091545560983,
      0.31322092026783516,
      0.3112801608337683,
      0.3093584268633385,
      0.30745551281671674,
      0.30557121720436137,
      0.30370534193551163,
      0.30185769229857307,
      0.3000280764532121,
      0.2982163051200511,
      0.2964221916574535,
      0.294645551864075,
      0.292886203952334,
      0.29114396836148576,
      0.2894186677283759,
      0.28771012682438224,
      0.2860181724970882,
      0.28434263365436796,
      0.2826833413040269,
      0.2810401284071975,
      0.2794128298504118,
      0.2778013012073933,
      0.2762054218495156,
      0.27462506372247897,
      0.27306009058006914,
      0.2715103608444382,
      0.2699757297438012,
      0.2684560507999568,
      0.26695117663226725,
      0.2654609597689371,
      0.26398525327731553,
      0.26252391103779976,
      0.26107678787853084,
      0.25964373985163264,
      0.2582246243209406,
      0.2568193000016751,
      0.25542762706712574,
      0.2540494671948061,
      0.2526846795351015,
      0.25133309874059523,
      0.24999455630802506,
      0.24866889600089806,
      0.2473559707190728,
      0.2460556403822003,
      0.24476777007958062,
      0.24349222903954235,
      0.24222888980364313,
      0.24097762780653248,
      0.23973832065980838,
      0.23851084795163507,
      0.23729509119252656,
      0.23609093347428525,
      0.23489825933750075,
      0.23371695475748824,
      0.23254690838081077,
      0.23138801568530284,
      0.23024017325328408,
      0.2291032772348595,
      0.22797722454305405,
      0.2268619120022585,
      0.2257572363732279,
      0.22466309477130475,
      0.22357938480493045,
      0.22250600471509552,
      0.2214428535035863,
      0.22038983117757754,
      0.21934683857768014,
      0.21831380480840482,
      0.2172906812542036,
      0.2162774065637363,
      0.21527390919563547,
      0.21428011064591587,
      0.21329592777029982,
      0.2123212743374958,
      0.21135606230280904,
      0.21040020255268543,
      0.20945360544079972,
      0.20851618133428845,
      0.20758784084119627,
      0.20666849491101003,
      0.20575805519032694,
      0.20485643396070963,
      0.20396354415487603,
      0.2030792994889925,
      0.20220361458474703,
      0.2013364048273494,
      0.20047758646754185,
      0.19962707659897114,
      0.19878479312575098,
      0.19795065480906482,
      0.1971245812652785,
      0.19630649287818858,
      0.19549631087892186,
      0.19469395723783267,
      0.19389935481326281,
      0.19311242343404147,
      0.19233306613221263,
      0.1915611858212509,
      0.19079669310195285,
      0.19003950426593907,
      0.18928953982975996,
      0.18854672359397837,
      0.18781098184136752,
      0.1870822428498021,
      0.18636043655229861,
      0.18564549427946314,
      0.1849373484561382,
      0.18423593250530007,
      0.18354118073019163,
      0.18285302826317348,
      0.18217141110638377,
      0.18149626594660734,
      0.1808275300869458,
      0.1801651416221679,
      0.17950903922269917,
      0.17885916221303236,
      0.17821545051248655,
      0.17757784476886804,
      0.17694628606200927,
      0.17632071615602463,
      0.17570107738485186,
      0.17508731266697516,
      0.17447936550971743,
      0.17387717998972338,
      0.17328070069762322,
      0.17268987278610531,
      0.172104642007251,
      0.17152495459935937,
      0.17095075731530582,
      0.17038199741469387,
      0.16981862272120832,
      0.16926058155480112,
      0.16870782280574725,
      0.16816029585779457,
      0.16761795057688358,
      0.1670807372760066,
      0.1665486067834442,
      0.16602149246515507,
      0.1654993061884652,
      0.1649819690056411,
      0.164469412032967,
      0.16396157374737666,
      0.16345839799811732,
      0.16295983267512118,
      0.16246582867892578,
      0.16197633922029023,
      0.16149131366726596,
      0.1610106631890385,
      0.16053429009601303,
      0.1600621140576333,
      0.1595940288602942,
      0.15912990139868433,
      0.15866962251970096,
      0.1582131042510413,
      0.15776027434430373,
      0.1573110722205736,
      0.15686544606168165,
      0.15642335040569727,
      0.15598474474672244,
      0.1555495921023637,
      0.1551178582568241,
      0.15468951107788076,
      0.15426451994997648,
      0.15384285551867272,
      0.15342448942059353,
      0.15300939404264505,
      0.15259754239227577,
      0.15218890793819034,
      0.15178346460550154,
      0.1513811866835741,
      0.15098204885591382,
      0.15058602605995702,
      0.15019309344960563,
      0.14980322647925226,
      0.14941640086805597,
      0.14903259243168948,
      0.14865177732165866,
      0.1482739319284434,
      0.14789903278574576,
      0.1475270565514183,
      0.14715798018622628,
      0.14679178072644974,
      0.14642843550847023,
      0.1460679220445197,
      0.14571021805184983,
      0.14535530129813332,
      0.14500314980965148,
      0.1446537417622838,
      0.1443070555766774,
      0.14396306977891704,
      0.14362176316071654,
      0.1432831146095085,
      0.1429471032254275,
      0.1426137082289385,
      0.1422829062624333,
      0.1419546496812826,
      0.14162888246844033,
      0.14130555853997584,
      0.14098463930821226,
      0.14066609175892134,
      0.1403498869952688,
      0.14003599926814359,
      0.1397244051969926,
      0.13941508324144775,
      0.1391080131990837,
      0.1388031759119805,
      0.13850055305993414,
      0.13820012694407138,
      0.1379018804448751,
      0.13760579679118612,
      0.13731185950910757,
      0.13702005243526819
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991821493905869,
      10.789832240160946,
      10.578799489922348,
      10.36084032674612,
      10.138055131170347,
      9.912335186378636,
      9.685364978118683,
      9.45866598576194,
      9.233620125706228,
      9.011448504020812,
      8.793183257351998,
      8.579653605528339,
      8.371475420244346,
      8.169051778175863,
      7.972584206161622,
      7.782089381877879,
      7.5974243863988145,
      7.418319128802063,
      7.244407067006453,
      7.075252387575713,
      6.910374948989274,
      6.749273062994472,
      6.5914430513531395,
      6.43639565024853,
      6.283669522898643,
      6.132842226133685,
      5.983538983746884,
      5.835433073897995,
      5.688246763604615,
      5.5417617131279995,
      5.3958161042979125,
      5.250313487348649,
      5.105227025035955,
      4.960599778992603,
      4.816534591568303,
      4.673183410566116,
      4.530749598272784,
      4.389491486979737,
      4.249716447327909,
      4.11177118882959,
      3.9760309715995636,
      3.842888285848953,
      3.7127430198848135,
      3.585989789287776,
      3.463005231269436,
      3.3441381780759944,
      3.229702215388593,
      3.1199696993690194,
      3.0151665269655923,
      2.9154700478064344,
      2.8210083717328143,
      2.7318612218355356,
      2.648056341257189,
      2.56956453403863,
      2.496309740469265,
      2.4281783976732445,
      2.3650282379352343,
      2.306673847781925,
      2.2528710683430706,
      2.2033109258275774,
      2.157604919692784,
      2.1153414675616187,
      2.076100446210277,
      2.0394855752033174,
      2.005101640110618,
      1.9725869033700711,
      1.9416539961579047,
      1.912079750224666,
      1.883691943417861,
      1.856355556197223,
      1.8299551129987242,
      1.8043894155464173,
      1.7795795130609908,
      1.7554623636179525,
      1.731989816751695,
      1.7091268613286432,
      1.6868422833341687,
      1.665107518417783,
      1.6438965945266386,
      1.6231857399334235,
      1.602953069137614,
      1.5831783280874066,
      1.5638426867410906,
      1.5449287090487538,
      1.526420595859176,
      1.508303469984383,
      1.4905631136691255,
      1.4731859472869786,
      1.4561590056937233,
      1.4394699124336041,
      1.4231068540081309,
      1.407058594085704,
      1.39131472065173,
      1.3758657078554484,
      1.3607023876182476,
      1.3458158041916024,
      1.331197245049653,
      1.3168382608615272,
      1.3027306783306087,
      1.2888666047482185,
      1.2752381990810857,
      1.2618377433665389,
      1.2486578852783587,
      1.235691613036272,
      1.2229322330662031,
      1.21037334940464,
      1.198008895971001,
      1.185833362506792,
      1.1738417064401272,
      1.1620293051905861,
      1.1503919358609682,
      1.1389254070024832,
      1.1276255537554143,
      1.1164882647183632,
      1.1055095017308547,
      1.0946853249542718,
      1.0840121655414285,
      1.0734867544168543,
      1.0631061117393585,
      1.0528673742473968,
      1.0427676200072757,
      1.0328039068316048,
      1.022973300964276,
      1.0132728969777138,
      1.003699832963935,
      0.9942513011261744,
      0.9849245545828333,
      0.9757169121031762,
      0.9666257609652743,
      0.9576485583758987,
      0.9487828318376134,
      0.940026178897257,
      0.9313762661460213,
      0.922830828205929,
      0.914387665755734,
      0.9060446441404268,
      0.8977996912582098,
      0.8896507860433663,
      0.8815959284174767,
      0.8736331763453241,
      0.8657606552492961,
      0.8579765532150455,
      0.8502791169993187,
      0.8426666482849381,
      0.8351375359454927,
      0.8276907374088089,
      0.8203261456792332,
      0.8130438789227589,
      0.8058442443760738,
      0.7987271564634729,
      0.7916920477436639,
      0.7847376354758336,
      0.7778624627630653,
      0.7710651309844274,
      0.7643442916096012,
      0.757698640494829,
      0.7511269134269671,
      0.7446278828107611,
      0.7382003549385802,
      0.7318431676900291,
      0.7255551886120963,
      0.7193353135584032,
      0.7131824655097336,
      0.7070955933236299,
      0.7010736706700963,
      0.6951156950546848,
      0.6892206871854036,
      0.6833876899997039,
      0.6776157679651154,
      0.6719040065286004,
      0.6662515113609841,
      0.660657407831777,
      0.655120840437091,
      0.6496411652363518,
      0.6442180491543079,
      0.6388510826167182,
      0.6335397518221455,
      0.6282834726678793,
      0.6230816143548018,
      0.6179335170430507,
      0.6128385039951915,
      0.6077958960795958,
      0.6028053560964015,
      0.5978667353799932,
      0.5929797225531185,
      0.5881438955879634,
      0.5833587581115415,
      0.5786237648528081,
      0.5739383393149463,
      0.5693018869857006,
      0.5647138037226097,
      0.5601734819613557,
      0.5556803149721573,
      0.5512336999437037,
      0.5468330400833421,
      0.5424777457682202,
      0.5381672354655179,
      0.53390093619633,
      0.5296782841327938,
      0.5254987243900118,
      0.5213619173302484,
      0.5172679524514621,
      0.5132168173727314,
      0.509208340222848,
      0.5052422395840513,
      0.501318160242624,
      0.4974356975369692,
      0.49359441450573577,
      0.4897938542602794,
      0.4860335484378438,
      0.4823130229606501,
      0.47863180206276945,
      0.47498941113301535,
      0.4713853786653651,
      0.4678192376542011,
      0.46429052639014734,
      0.4607987888123164,
      0.4573435751572875,
      0.45392444199161297,
      0.4505409524433609,
      0.4471926761002365,
      0.44387918898104256,
      0.44060007363329284,
      0.4373549189501127,
      0.43414331991018934,
      0.43096487774992276,
      0.42781919972916366,
      0.4247058990755978,
      0.4216245947265284,
      0.4185749114023692,
      0.41555647942748986,
      0.4125689344507151,
      0.4096119176761233,
      0.4066850755111853,
      0.4037880595477372,
      0.4009205264435252,
      0.39808213778093543,
      0.3952725600295346,
      0.3924914645120711,
      0.3897385271443124,
      0.3870134284066365,
      0.3843158531913739,
      0.3816454908822221,
      0.3790020353861869,
      0.37638518481345007,
      0.3737946412878491,
      0.3712301110403597,
      0.36869130435325936,
      0.36617793550858035,
      0.36368972268947203,
      0.3612263878345081,
      0.35878765664873924,
      0.35637325846579854,
      0.3539829262923527,
      0.3516163966277474,
      0.3492734094912554,
      0.34695370832603273,
      0.3446570398571191,
      0.3423831542072614,
      0.3401318045595936,
      0.337902747460017,
      0.3356957662667944,
      0.3335107844480923,
      0.33134774789873894,
      0.3292065054384428,
      0.32708673962118934,
      0.324988129596863,
      0.32291038462649596,
      0.3208532359642245,
      0.3188164315243824,
      0.3167997315194737,
      0.31480290593200455,
      0.31282573236054617,
      0.31086799442246255,
      0.30892948084843125,
      0.3070099846925764,
      0.3051093026937858,
      0.30322723493854653,
      0.3013635846080897,
      0.2995181577327165,
      0.29769076287588586,
      0.2958812111927895,
      0.2940893163669577,
      0.292314894247305,
      0.29055776302377434,
      0.2888177431915026,
      0.28709465741839774,
      0.28538833036642625,
      0.28369858887307037,
      0.28202526183236604,
      0.2803681802329513,
      0.2787271769465123,
      0.27710211141162094,
      0.27549286217576013,
      0.2738992975552701,
      0.27232127811231505,
      0.27075865960654866,
      0.269211294742688,
      0.26767903464976567,
      0.2661617298429453,
      0.2646592309263414,
      0.2631713889629976,
      0.2616980559331169,
      0.26023908479920066,
      0.2587943297764258,
      0.2573636465542938,
      0.2559468921785886,
      0.2545439251906898,
      0.25315460554158636,
      0.25177877801337967,
      0.2504162683059014,
      0.24906691201960832,
      0.24773055547596587,
      0.24640705298023852,
      0.24509626483822938,
      0.2437980561444416,
      0.24251229575208055,
      0.2412388554847875,
      0.23997760975253102,
      0.23872843520117493,
      0.23749121044546287,
      0.23626581576991637,
      0.23505213296195965,
      0.23385004530204884,
      0.23265943755831042,
      0.23148019590901076,
      0.23031220766586818,
      0.22915536532486178,
      0.22800956789000792,
      0.22687471352975075,
      0.225750699444315,
      0.22463742226124442,
      0.22353477865703966,
      0.2224426656087905,
      0.22136098064623952,
      0.220289621977646,
      0.219228498204799,
      0.21817755500815325,
      0.2171367358454827,
      0.21610597171041027,
      0.21508518499470794,
      0.21407429233774058,
      0.21307320643490787,
      0.21208183756358218,
      0.21110009461531226,
      0.21012788577872202,
      0.20916511881178784,
      0.2082117017317617,
      0.20726754291993518,
      0.20633255127821867,
      0.20540663636140366,
      0.20448970839699396,
      0.2035816784468161,
      0.20268245840575252,
      0.2017919610286578,
      0.20091009979448377,
      0.20003678910338873,
      0.19917194428602486,
      0.19831548155221998,
      0.19746731789152971,
      0.1966273711546136,
      0.19579556006078006,
      0.1949718042085023,
      0.19415602204172944,
      0.19334811542722669,
      0.19254798196358008,
      0.19175552759101733,
      0.19097066437417068,
      0.1901933089831939,
      0.18942338162459443,
      0.18866080522686596,
      0.18790550489085892,
      0.1871574074367962,
      0.18641644113593384,
      0.18568253560003295,
      0.184955621370117,
      0.18423562996679368,
      0.1835224938673062,
      0.1828161463335464,
      0.18211652134441375,
      0.18142355367063173,
      0.1807371787741405,
      0.180057332710024,
      0.17938395224641868,
      0.1787169749745244,
      0.17805633891227357,
      0.17740198282213107,
      0.17675384603514618,
      0.1761118684042362,
      0.17547599059009694,
      0.1748461537899156,
      0.1742222996718652,
      0.1736043705526526,
      0.17299230928489062,
      0.1723860593750177,
      0.17178556486228394,
      0.17119077037733538,
      0.17060162103759186,
      0.17001806252244475,
      0.1694400410104082,
      0.16886750328354252,
      0.16830039665577695,
      0.16773866896677186,
      0.16718226852680362,
      0.16663114411402377,
      0.16608524512632442,
      0.1655445171698798,
      0.16500887825546015,
      0.16447824054672253,
      0.16395252835566732,
      0.16343167490919647,
      0.16291562003561652,
      0.1624043083279113,
      0.16189768795491638,
      0.16139570975336962,
      0.16089832671821605,
      0.16040548329023852,
      0.15991708262265633,
      0.1594330261766492,
      0.15895318369513187,
      0.15847741228732246,
      0.15800559873273332,
      0.15753765184932186,
      0.15707349682080807,
      0.15661307091007437,
      0.15615632049754327,
      0.15570319860633364,
      0.1552536633434479,
      0.1548076765068209,
      0.15436520274741694,
      0.15392620892638004,
      0.1534906634872746,
      0.1530585362159662,
      0.15262979782113084,
      0.15220441978537347,
      0.15178237433397976,
      0.1513636341899311,
      0.15094817247092054,
      0.1505359626704487,
      0.1501269786721001,
      0.1497211946699517,
      0.14931858515366542,
      0.14891912483109235,
      0.14852278861527335,
      0.1481295516693664,
      0.14773938936356404,
      0.14735227730897746,
      0.14696819129707592,
      0.14658710746238393,
      0.1462090019948349,
      0.14583385126573284,
      0.1454616319734607,
      0.14509232088332738,
      0.14472589495569083,
      0.14436233148742866,
      0.14400160785396776,
      0.14364370160148443,
      0.14328859046972492,
      0.14293625239641317,
      0.1425866653951206,
      0.14223980784076046,
      0.14189565813268315,
      0.14155419493060875,
      0.14121539149766696,
      0.1408791946043717,
      0.1405455486690939,
      0.14021440780385352,
      0.13988573342384114,
      0.13955949226712386,
      0.13923565527489168,
      0.1389141964621697,
      0.13859509207414344,
      0.13827832017099265,
      0.13796386015581558,
      0.13765169251152107,
      0.13734179847820116,
      0.13703415993694784,
      0.136728759219774,
      0.13642557913124642,
      0.136124602781005,
      0.1358258135129132,
      0.1355291949496666,
      0.1352347309427884,
      0.1349424055302156
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991801011126707,
      10.789764315060392,
      10.578662634403365,
      10.36061824957439,
      10.137736852116795,
      9.91191429531234,
      9.684839533208367,
      9.45803694713554,
      9.232889849021355,
      9.010620605875776,
      8.792261999946914,
      8.578643340286941,
      8.370380273421715,
      8.167875396516544,
      7.971329557048854,
      7.780758350760691,
      7.596017960322874,
      7.416837623427034,
      7.242850237981717,
      7.073619397810553,
      6.908664496549073,
      6.7474835284277805,
      6.589572654490564,
      6.434442615997978,
      6.2816322487945,
      6.130719447975106,
      5.981329938592708,
      5.833137782458097,
      5.685866073492673,
      5.539297385823321,
      5.393270785315654,
      5.247690885890844,
      5.1025320878662574,
      4.957838737904447,
      4.8137147960251925,
      4.670313672435277,
      4.527840125983659,
      4.38655357836893,
      4.246762323830889,
      4.108813785878921,
      3.9730836930004654,
      3.8399648172753675,
      3.7098571057195,
      3.583154759347147,
      3.4602337341319225,
      3.34144220208225,
      3.2270926982508437,
      3.117455934862237,
      3.0127564048480115,
      2.9131700097967173,
      2.818823394626046,
      2.7297948417936024,
      2.6461099973416387,
      2.5677378712408774,
      2.4946006502986773,
      2.4265837418282072,
      2.3635438028503515,
      2.3052930236644977,
      2.251584488019476,
      2.2021057377833424,
      2.1564671691445665,
      2.1142571751193557,
      2.0750558288088525,
      2.038468169522792,
      2.004099358979874,
      1.9715898530757345,
      1.9406548478651195,
      1.911073075418226,
      1.8826736646048499,
      1.8553227023778924,
      1.8289054314849345,
      1.8033212088578248,
      1.7784916172499798,
      1.7543540518609646,
      1.730860191330959,
      1.7079749051470385,
      1.6856673681661476,
      1.6639092682750425,
      1.6426748232903767,
      1.6219404041207715,
      1.6016842309926993,
      1.5818861268600646,
      1.5625273169649083,
      1.5435902818859617,
      1.5250590529781474,
      1.5069188433224272,
      1.4891555022127712,
      1.4717554987714425,
      1.4547059026177784,
      1.4379943618330078,
      1.4216090794105138,
      1.4055387892593214,
      1.3897728447079118,
      1.3743016482306798,
      1.3591161100127014,
      1.3442073337649274,
      1.3295666519217109,
      1.3151856487435858,
      1.3010561754186216,
      1.2871703004156643,
      1.2735201031901964,
      1.2600979060886712,
      1.24689638730723,
      1.2339085573436648,
      1.221127756298183,
      1.2085477848955153,
      1.1961628117346168,
      1.1839673215534472,
      1.1719561855464249,
      1.1601247377955968,
      1.14846870465525,
      1.1369838402717856,
      1.1256659365457309,
      1.1145108478406704,
      1.1035145105435038,
      1.0926732167876967,
      1.081983536993467,
      1.071442180701508,
      1.061046168182812,
      1.0507925222862982,
      1.0406782339645895,
      1.0307002943562342,
      1.0208557178284103,
      1.0111415594055233,
      1.0015549265421608,
      0.9920929874284377,
      0.9827529765848567,
      0.9735321981937491,
      0.9644280283728595,
      0.955437915609135,
      0.9465593807543594,
      0.9377900156927932,
      0.9291274824832298,
      0.9205695119801188,
      0.9121139020550839,
      0.9037585157422655,
      0.8955012787637618,
      0.8873401660231616,
      0.8792731736822165,
      0.8712983595141861,
      0.8634138487034495,
      0.8556178288970022,
      0.8479085463622431,
      0.8402843023409552,
      0.8327438720758548,
      0.825287035520867,
      0.8179138418079551,
      0.8106245993191898,
      0.8034192573150585,
      0.7962973718535199,
      0.7892579283071,
      0.7822993930245061,
      0.7754202555673374,
      0.7686190785462262,
      0.7618944855622348,
      0.7552451524661806,
      0.7486698008023062,
      0.7421671928678947,
      0.7357361279265311,
      0.7293754388343661,
      0.7230839897642932,
      0.7168606742401521,
      0.7107044136347869,
      0.7046141558030807,
      0.6985888737502974,
      0.6926275647194379,
      0.686729249344226,
      0.6808929705648213,
      0.675117793020987,
      0.6694028024417013,
      0.6637471048311212,
      0.6581498257828583,
      0.6526101973839024,
      0.647127829516242,
      0.6417023444282273,
      0.6363332466851916,
      0.6310199605937059,
      0.6257618576753219,
      0.6205582753205675,
      0.6154085307272673,
      0.6103119309044001,
      0.6052680872763184,
      0.6002768444473305,
      0.5953378980442054,
      0.5904508274830889,
      0.585615133611146,
      0.580830265322359,
      0.5760956388200728,
      0.5714106507063684,
      0.5667746872315556,
      0.562187130853792,
      0.5576473646406931,
      0.5531547753934789,
      0.5487087558109764,
      0.5443087060078804,
      0.5399540341643472,
      0.535644157380252,
      0.5313785017964824,
      0.5271565030544492,
      0.5229777622322568,
      0.5188423594329863,
      0.5147502964732893,
      0.510701408681304,
      0.5066954171358676,
      0.5027319658061228,
      0.4988106466654243,
      0.4949310182073725,
      0.4910926178575961,
      0.48729497076719575,
      0.48353759606099456,
      0.4798200108676325,
      0.4761417334699062,
      0.47250228520467047,
      0.4689011918070017,
      0.4653379843825715,
      0.4618121999357149,
      0.45832338181275706,
      0.45487107973158497,
      0.4514548500864814,
      0.4480742559183871,
      0.44472886680664564,
      0.4414182588605308,
      0.43814201476014236,
      0.43489972349196404,
      0.4316909802366391,
      0.428515386459953,
      0.4253725496743823,
      0.4222620831753578,
      0.419183606185942,
      0.4161367435700843,
      0.4131211257506885,
      0.4101363887316252,
      0.4071821737907085,
      0.4042581274289977,
      0.40136390134771993,
      0.39849915237690803,
      0.3956635423049813,
      0.3928567376601681,
      0.39007840977426694,
      0.3873282346712492,
      0.3846058929337912,
      0.3819110696743682,
      0.379243454408338,
      0.3766027410318421,
      0.3739886276507721,
      0.37140081659147794,
      0.3688390141860213,
      0.3663029307393252,
      0.3637922805504354,
      0.36130678186163945,
      0.35884615668476777,
      0.3564101306820945,
      0.3539984332543469,
      0.35161079748078566,
      0.3492469598598903,
      0.3469066603845279,
      0.3445896424943796,
      0.34229565298173803,
      0.3400244420034803,
      0.3377757628173874,
      0.33554937194262974,
      0.33334515253490116,
      0.3311630672452366,
      0.32900293180465223,
      0.3268644287456786,
      0.32474725601820464,
      0.32265113529710265,
      0.3205758059620935,
      0.31852102085415873,
      0.31648654301701296,
      0.31447214351330693,
      0.3124775999776838,
      0.31050269536665426,
      0.30854721720632905,
      0.30661095686487616,
      0.3046937092284738,
      0.30279527251308486,
      0.3009154477528768,
      0.29905403870185004,
      0.2972108517157101,
      0.2953856956138329,
      0.2935783817878059,
      0.2917887239850235,
      0.29001653819870943,
      0.2882616426898257,
      0.2865238577974765,
      0.28480300608455794,
      0.28309891229671474,
      0.28141140317415253,
      0.27974030755974066,
      0.2780854577198199,
      0.2764467154795656,
      0.2748239570137562,
      0.27321704734279956,
      0.27162584429956976,
      0.27005020101413707,
      0.2684899679712456,
      0.26694499408801825,
      0.26541512779624654,
      0.2639002175733305,
      0.2624001124707039,
      0.26091466261673774,
      0.25944371925078713,
      0.25798713478437424,
      0.2565447630938778,
      0.25511645945989714,
      0.2537020806757699,
      0.25230148106499084,
      0.25091449038168123,
      0.24954093433612914,
      0.2481806513982176,
      0.2468334894344261,
      0.24549930337153536,
      0.2441779536745523,
      0.24286930508516935,
      0.24157322573118598,
      0.2402895866289575,
      0.23901826116947655,
      0.23775912479028857,
      0.2365120548698291,
      0.23527693043715403,
      0.23405363205158303,
      0.23284204185245566,
      0.23164204332095545,
      0.23045352124927482,
      0.229276362591094,
      0.22811045646718436,
      0.22695569302004756,
      0.22581196809758622,
      0.2246791807707874,
      0.2235572287374474,
      0.22244600907589554,
      0.2213454186639705,
      0.22025535463455606,
      0.21917574235480705,
      0.21810653089472978,
      0.21704765621176073,
      0.21599904324437816,
      0.2149606094727413,
      0.21393226729204515,
      0.21291392583174482,
      0.21190549229063632,
      0.21090687267855301,
      0.20991797251466768,
      0.20893869725599185,
      0.2079689526231129,
      0.20700864481181808,
      0.20605768057838167,
      0.20511596737734794,
      0.20418341341223997,
      0.2032599277904107,
      0.20234542037494085,
      0.20143980204633918,
      0.20054298449666047,
      0.19965488035678494,
      0.19877540305979793,
      0.1979044670119362,
      0.19704198746163462,
      0.19618788049829225,
      0.1953420631684843,
      0.1945044410162287,
      0.19367490649968075,
      0.1928533590533689,
      0.19203970518669378,
      0.19123385672874774,
      0.19043572958915037,
      0.18964524283966508,
      0.1888623178709462,
      0.1880868781048857,
      0.18731884862521336,
      0.18655815572503456,
      0.18580472694216618,
      0.18505849086978154,
      0.1843193770344652,
      0.18358731584100874,
      0.18286223846929156,
      0.18214407691403417,
      0.18143276389983415,
      0.1807282328878838,
      0.18003041808529216,
      0.17933925424051278,
      0.17865467687331438,
      0.17797662212553234,
      0.17730502675407847,
      0.17663982830418454,
      0.17598096485264805,
      0.17532837512199637,
      0.17468199843146376,
      0.17404177477721047,
      0.17340764462219674,
      0.17277954917135152,
      0.17215743008931148,
      0.17154122960155854,
      0.17093089064820038,
      0.17032635678608088,
      0.16972757195292384,
      0.16913448064002798,
      0.16854702799045826,
      0.16796515972134,
      0.16738882203570704,
      0.1668179617267307,
      0.16625252599146473,
      0.16569246262758275,
      0.16513771996524776,
      0.1645882350311401,
      0.16404391665794515,
      0.16350467982275196,
      0.16297045061069307,
      0.16244116323147065,
      0.16191675793876312,
      0.16139717937958908,
      0.1608823756095508,
      0.16037229718437773,
      0.15986689656029518,
      0.15936611582844767,
      0.15886984958359832,
      0.15837794752742285,
      0.15789025434692697,
      0.15740664684206143,
      0.1569270262560924,
      0.15645131200127546,
      0.15597943690469845,
      0.15551134375272557,
      0.15504698275793988,
      0.15458630962061087,
      0.15412928433025594,
      0.15367586992634436,
      0.15322603184314113,
      0.15277973726386002,
      0.15233695481848272,
      0.15189765418532572,
      0.15146180588128447,
      0.15102938119480755,
      0.15060035185505455,
      0.15017469018573965,
      0.1497523689308092,
      0.14933336111312778,
      0.14891764013624204,
      0.14850517967735763,
      0.14809595364513709,
      0.1476899361891239,
      0.14728710178640972,
      0.14688742513858838,
      0.14649088101244567,
      0.14609744457703194,
      0.14570709115037658,
      0.1453197962969506,
      0.14493553573484524,
      0.14455428533930662,
      0.14417602125470025,
      0.14380071984210704,
      0.14342835760233988,
      0.14305891125852127,
      0.14269235765491844,
      0.14232867389797463,
      0.14196783726289997,
      0.14160982517739315,
      0.14125461531369543,
      0.14090218550384703,
      0.14055251373159083,
      0.1402055726890794,
      0.13986130811916833,
      0.13951966286264372,
      0.139180589731487,
      0.1388440489921515,
      0.13851000652739795,
      0.13817843237590463,
      0.1378492998097058,
      0.13752258448760404,
      0.13719826387223927,
      0.13687631670495684,
      0.1365567228610889,
      0.13623946303128354,
      0.13592451853330617,
      0.1356118712533983,
      0.13530150347536743,
      0.13499339784478215,
      0.13468753718809415,
      0.1343839046763044,
      0.13408248369671413,
      0.13378325773247857,
      0.13348621055390164,
      0.13319132606096956,
      0.13289858820277406
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991780585823992,
      10.789696604997456,
      10.578526219761995,
      10.360396887509609,
      10.137419602767476,
      9.91149473223438,
      9.684315687026281,
      9.457409793408434,
      9.232161754105789,
      9.009795187001883,
      8.79134351503685,
      8.577636135133934,
      8.369288468850046,
      8.166702635557387,
      7.9700786807693165,
      7.779431146728412,
      7.594615449688293,
      7.415360155740588,
      7.241297597848669,
      7.071990779070312,
      6.906958629379484,
      6.745698824446478,
      6.587707365912347,
      6.432494999076264,
      6.279600731253612,
      6.128602795422948,
      5.979127416571942,
      5.830849439227247,
      5.683492783201977,
      5.536840935189813,
      5.3907338479875815,
      5.245077195511115,
      5.0998466086248815,
      4.95508771307555,
      4.810905589104596,
      4.667455001761838,
      4.524942213168946,
      4.383627723168661,
      4.243820738061286,
      4.105869383279043,
      3.970149843458098,
      3.837055161749762,
      3.706985334192625,
      3.5803341393689525,
      3.4574768471612325,
      3.3387607546751648,
      3.2244972704386634,
      3.1149557776781127,
      3.010359384696192,
      2.910882548207682,
      2.8166504531611323,
      2.72773994544326,
      2.644174579612284,
      2.565921438509156,
      2.492900983358131,
      2.4249977469089896,
      2.36206731976915,
      2.303919505148871,
      2.2503046423212645,
      2.20090680947742,
      2.155335308982647,
      2.1131785057679635,
      2.0740166658068,
      2.0374561360354115,
      2.003102444808122,
      1.9705982257394832,
      1.9396612249336649,
      1.9100720439339287,
      1.881661163589966,
      1.8542957869484726,
      1.827861868068435,
      1.8022593133405722,
      1.7774102347711886,
      1.7532524613238891,
      1.7297374961758105,
      1.7068300866598674,
      1.6844997965921649,
      1.662718566606218,
      1.6414608046085226,
      1.6207030238207845,
      1.6004235493310845,
      1.5806022812170872,
      1.5612205003937707,
      1.542260708183046,
      1.5237067292422357,
      1.50554376017295,
      1.4877577257504184,
      1.4703351508734843,
      1.4532631457985548,
      1.4365293873515534,
      1.42012209811693,
      1.4040300247202662,
      1.3882425392381186,
      1.3727499123527096,
      1.3575428498640487,
      1.3426124533843624,
      1.327950125889451,
      1.3135475055821615,
      1.2993964845317343,
      1.2854890721181977,
      1.2718173198408171,
      1.2583735966082967,
      1.2451506467247844,
      1.23214167490986,
      1.219340229222306,
      1.206740135557914,
      1.19433548116595,
      1.182120701453397,
      1.170090619877848,
      1.158240556826728,
      1.1465662113689405,
      1.1350633019260499,
      1.1237275913298987,
      1.1125549103020296,
      1.1015414190941655,
      1.090683562913886,
      1.0799778043956787,
      1.0694209054540416,
      1.0590098428308659,
      1.0487415462371996,
      1.038612934554038,
      1.0286209435911253,
      1.0187625449794875,
      1.0090347606373384,
      0.9994346725087391,
      0.9899594289469582,
      0.9806062489554755,
      0.9713724247818809,
      0.962255323103431,
      0.9532523847836577,
      0.9443611243456304,
      0.9355791290859965,
      0.9269040573438981,
      0.9183336367077076,
      0.9098656624335412,
      0.9014979951269341,
      0.8932285589752167,
      0.8850553237599843,
      0.8769762835859758,
      0.8689894957013621,
      0.861093084972572,
      0.8532852387300759,
      0.8455642028223712,
      0.8379285425839347,
      0.8303778763744456,
      0.82291221918425,
      0.8155318360194233,
      0.8082367207959382,
      0.8010264509938072,
      0.7939002614611063,
      0.7868567577297367,
      0.7798942959574945,
      0.773011334055455,
      0.7662064120066975,
      0.7594781373954926,
      0.7528251745256815,
      0.7462462367018611,
      0.7397400805431072,
      0.7333055009987024,
      0.7269413282314713,
      0.720646424611125,
      0.7144196825550889,
      0.7082600228090719,
      0.7021663927884718,
      0.696137765362911,
      0.6901731378572549,
      0.6842715309662213,
      0.6784319877120139,
      0.6726535730575329,
      0.6669353729066562,
      0.6612764935108475,
      0.6556760795442139,
      0.6501336240040068,
      0.6446487869751808,
      0.6392210953077019,
      0.6338499851166537,
      0.6285348316109535,
      0.6232749706610234,
      0.618069714462253,
      0.612918362360358,
      0.6078204632480236,
      0.6027758482554257,
      0.5977842240470288,
      0.5928451736410992,
      0.5879581965411862,
      0.5831227371128131,
      0.5783382047806784,
      0.5736039877640746,
      0.5689194629909016,
      0.5642840028080269,
      0.5596969799106256,
      0.55515777071184,
      0.5506657573176721,
      0.5462203293884317,
      0.5418208846207817,
      0.5374668299165345,
      0.5331575814868824,
      0.5288925648873035,
      0.524671334231577,
      0.5204939278393609,
      0.5163603678582007,
      0.5122705008867354,
      0.5082240532176888,
      0.5042206695544498,
      0.5002599400425624,
      0.49634141929424624,
      0.4924646395302639,
      0.48862911989404295,
      0.4848343727081228,
      0.4810799081963144,
      0.47736523745867826,
      0.47368987462735307,
      0.4700533382366892,
      0.46645515211867583,
      0.4628948460820488,
      0.45937195637871475,
      0.4558860257817699,
      0.4524366039124393,
      0.44902324710550534,
      0.4456455183483554,
      0.44230298731926165,
      0.43899523019538206,
      0.4357218298157416,
      0.43248237533545886,
      0.4292764622359093,
      0.426103692004673,
      0.4229636723242912,
      0.41985601670280537,
      0.41678034456310925,
      0.4137362809011982,
      0.4107234563023212,
      0.4077415069075595,
      0.4047900741285566,
      0.40186880464376246,
      0.3989773502700395,
      0.39611536791279645,
      0.3932825193665075,
      0.39047847134650093,
      0.3877028952950403,
      0.38495546734290653,
      0.3822358681978241,
      0.37954378303629366,
      0.3768789014747658,
      0.37424091744297194,
      0.3716295290601413,
      0.3690444386426058,
      0.36648535256194265,
      0.36395198128538625,
      0.3614440391146527,
      0.35896124433557036,
      0.356503318965028,
      0.35406998883261676,
      0.3516609833100974,
      0.34927603537571456,
      0.34691488165704437,
      0.344577262147649,
      0.34226292033521627,
      0.3399716029264235,
      0.33770305998338584,
      0.3354570448862407,
      0.3332333866520447,
      0.33103203421214367,
      0.32885278194132495,
      0.3266953222411904,
      0.3245593713852707,
      0.32244466320024334,
      0.3203509449899894,
      0.3182779743172996,
      0.31622551672039845,
      0.31419334448375424,
      0.312181235186146,
      0.310188971038996,
      0.30821633827462436,
      0.3062631266460664,
      0.3043291291256725,
      0.30241414168700215,
      0.3005179632588988,
      0.29864039534196984,
      0.2967812420375268,
      0.29494030996724707,
      0.2931174080709493,
      0.2913123478159229,
      0.2895249430171425,
      0.28775500966273515,
      0.28600236581979277,
      0.2842668318750139,
      0.28254823034835674,
      0.28084638585067234,
      0.27916112508424085,
      0.2774922804207567,
      0.2758397149476298,
      0.2742033015123543,
      0.2725829023743801,
      0.27097837279374376,
      0.269389563482272,
      0.26781632256443416,
      0.2662584967750017,
      0.2647159324707583,
      0.2631884762568806,
      0.2616759753824637,
      0.26017827795801995,
      0.2586952333647221,
      0.25722669224632094,
      0.2557725066688945,
      0.25433253016927587,
      0.25290661779403256,
      0.25149461239469334,
      0.2500963343749709,
      0.24871161271916076,
      0.2473402877496357,
      0.24598220819235717,
      0.2446372291757728,
      0.24330521081187878,
      0.24198601726500177,
      0.24067951579629437,
      0.2393855764668417,
      0.23810407149387888,
      0.23683487516057736,
      0.2355778635414367,
      0.2343329143093415,
      0.23309990671245262,
      0.23187872156880754,
      0.23066924101087502,
      0.22947134955679901,
      0.22828493381577158,
      0.22710988124601686,
      0.22594608008514844,
      0.22479341944768214,
      0.22365179092528786,
      0.22252109256322755,
      0.2214012231263422,
      0.22029208631439182,
      0.21919362130690034,
      0.21810577350858315,
      0.2170284735911952,
      0.21596164214819724,
      0.21490519284557094,
      0.21385903485827765,
      0.21282307442378726,
      0.21179721602734716,
      0.21078136309634754,
      0.20977541882976988,
      0.20877928630075523,
      0.2077928689523149,
      0.20681607086480125,
      0.20584879668152717,
      0.20489095179027006,
      0.20394244234139244,
      0.20300317545923946,
      0.2020730590238557,
      0.2011520019894829,
      0.20023991412105516,
      0.19933670611511725,
      0.1984422895708076,
      0.19755657697652587,
      0.19667948182666248,
      0.19581091589313418,
      0.19495077344881084,
      0.1940989448861334,
      0.1932553293269966,
      0.19241983254732808,
      0.1915923650801535,
      0.19077284127801067,
      0.1899611784020211,
      0.18915729596351438,
      0.18836111532834443,
      0.18757255942957557,
      0.18679155244745482,
      0.1860180197739908,
      0.18525188784144542,
      0.18449308409488419,
      0.183741536700501,
      0.18299717471469107,
      0.18225992800189347,
      0.18152972723115113,
      0.18080650372300566,
      0.1800901895910419,
      0.1793807176699985,
      0.17867802140812983,
      0.17798203501618637,
      0.1772926932624725,
      0.17660993171550374,
      0.1759336864801222,
      0.17526389441927934,
      0.1746004929836843,
      0.17394342025999715,
      0.17329261488119305,
      0.17264801612957761,
      0.17200956387677518,
      0.17137719869102572,
      0.1707508616797403,
      0.17013049453769574,
      0.1695160395079364,
      0.16890743948470555,
      0.16830463791503672,
      0.16770757880419906,
      0.16711620669739072,
      0.16653046673980343,
      0.16595030458629492,
      0.16537566638885767,
      0.16480649886241477,
      0.16424274923796037,
      0.16368434546562657,
      0.1631311934743079,
      0.16258320923841832,
      0.16204031940265556,
      0.16150245835178817,
      0.16096956611800411,
      0.16044158700960642,
      0.1599184686184677,
      0.15940016081477354,
      0.15888661534814588,
      0.1583777707121663,
      0.15787347889176276,
      0.15737356472759784,
      0.156877887445253,
      0.15638633517371822,
      0.15589881743110928,
      0.155415259511977,
      0.15493559844311863,
      0.15445977995766402,
      0.15398775627237085,
      0.1535194844750491,
      0.1530549252614053,
      0.15259404208670901,
      0.15213680053766807,
      0.15168316782724584,
      0.15123311236537829,
      0.15078660350617368,
      0.15034361150841657,
      0.14990410719453098,
      0.14946806185305153,
      0.14903544727643925,
      0.1486062356927805,
      0.14818039966724533,
      0.14775791204288305,
      0.14733874599073632,
      0.14692287487018887,
      0.1465102722807926,
      0.14610091226788843,
      0.14569476898883005,
      0.1452918167679645,
      0.1448920301520031,
      0.144495383902594,
      0.1441018530470765,
      0.14371141276472588,
      0.14332403847063702,
      0.14293970588789953,
      0.14255839082188912,
      0.14218006924656712,
      0.1418047173531964,
      0.1414323115744044,
      0.14106282854553442,
      0.14069624502851844,
      0.1403325380081297,
      0.13997168476337948,
      0.1396136625902758,
      0.13925844672568444,
      0.13890598664281736,
      0.13855622147711985,
      0.13820910117566254,
      0.13786458377136143,
      0.1375226332944775,
      0.13718321837506853,
      0.13684631093967495,
      0.13651188551861973,
      0.13617991861420722,
      0.13585038824199996,
      0.13552327359863517,
      0.13519855474710468,
      0.13487621238159433,
      0.13455622779201132,
      0.13423858267149003,
      0.13392325909125008,
      0.1336102393811332,
      0.13329950621483494,
      0.13299104245467175,
      0.1326848311497299,
      0.13238085549658618,
      0.1320790989214683,
      0.13177954494678942,
      0.13148217726824682,
      0.13118697980694916,
      0.13089393653342862
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991760237834884,
      10.789629180566045,
      10.578390392153706,
      10.36017648648706,
      10.137103746368192,
      9.911077019751726,
      9.683794159458472,
      9.456785441295914,
      9.231436951379274,
      9.008973547909601,
      8.790429288974293,
      8.576633656875934,
      8.368201848911841,
      8.165535507757783,
      7.9688338626681166,
      7.778110412507152,
      7.593219832238965,
      7.41389001635036,
      7.239752734524646,
      7.070370401344588,
      6.905261485600709,
      6.743923349339781,
      6.585851836637274,
      6.430557698555489,
      6.277580114913723,
      6.126497656582564,
      5.976937047935909,
      5.8285739153848395,
      5.68113300251197,
      5.534398706050492,
      5.388211867013372,
      5.242479214089174,
      5.097177601830273,
      4.952353926178953,
      4.808114387327049,
      4.664615098804144,
      4.522063816811333,
      4.380722104607655,
      4.240900066037531,
      4.102946515169859,
      3.9672380802079736,
      3.8341680628758192,
      3.704136496845314,
      3.5775367315365307,
      3.454743345645975,
      3.3361027119713835,
      3.2219251181505344,
      3.1124786738362786,
      3.0079851077381563,
      2.908617439137458,
      2.814499401220345,
      2.725706414146191,
      2.6422599523424637,
      2.5641251842010924,
      2.491220859995625,
      2.423430649859793,
      2.360609089917124,
      2.3025636108201097,
      2.249041824609283,
      2.199724369868305,
      2.154219390826095,
      2.1121152124358935,
      2.0729924261709467,
      2.036458472602748,
      2.002119499398729,
      1.969620290291956,
      1.9386811127377843,
      1.9090844154642213,
      1.8806620132927634,
      1.8532822125342816,
      1.8268316694249829,
      1.801210831965013,
      1.776342335176526,
      1.7521644376898093,
      1.7286284612047518,
      1.7056990265362428,
      1.6833460863442986,
      1.6615418327043399,
      1.6402608634615852,
      1.6194798332745552,
      1.5991771730876112,
      1.5793328599177894,
      1.5599282293981258,
      1.5409458215536092,
      1.5223693181308868,
      1.5041837926034325,
      1.48637525109281,
      1.4689302786624556,
      1.451836029319984,
      1.435080210831452,
      1.4186510674118746,
      1.4025373601344289,
      1.3867284944216236,
      1.3712147521011095,
      1.3559868190078748,
      1.3410356799681986,
      1.326352628345168,
      1.311929269638539,
      1.2977575097038745,
      1.2838293219368433,
      1.270136844871783,
      1.2566726017254815,
      1.2434294699916517,
      1.2304006552649447,
      1.2175796683942177,
      1.2049603052634037,
      1.1925366284387027,
      1.180303068077388,
      1.1682544434907893,
      1.156386084987634,
      1.1446936755392398,
      1.1331729144154343,
      1.1218195489109144,
      1.1106296223159662,
      1.0995994613910522,
      1.0887254096912846,
      1.0780039177681797,
      1.0674317956876216,
      1.0570059238083422,
      1.046723158095251,
      1.0365803606671662,
      1.0265744229493559,
      1.0167022827233845,
      1.0069609354405418,
      0.9973474424465973,
      0.9878589362153551,
      0.978492623293372,
      0.9692457861630787,
      0.9601157834461811,
      0.9511000497492467,
      0.9421960944653518,
      0.933401500777862,
      0.9247139237694915,
      0.9161310882674607,
      0.9076507870532513,
      0.8992708787431304,
      0.8909892855075618,
      0.8828039719758777,
      0.8747129303122865,
      0.8667142176055034,
      0.8588059582567651,
      0.8509863392309982,
      0.8432537133780487,
      0.8356075188756749,
      0.8280477378126515,
      0.8205745690205644,
      0.8131880582958326,
      0.8058878089822827,
      0.7986731198097801,
      0.7915428946417579,
      0.7844954645364729,
      0.7775291619292225,
      0.7706424273233184,
      0.7638337881426535,
      0.7571018428412595,
      0.7504452496798454,
      0.7438627176053286,
      0.7373530000322306,
      0.730914890144074,
      0.724547216870493,
      0.7182488417395143,
      0.7120186567053968,
      0.7058555821892202,
      0.6997585655113097,
      0.6937265797165716,
      0.6877586222867761,
      0.6818537140720387,
      0.6760108983416283,
      0.6702292403129564,
      0.6645078261184442,
      0.6588457622553426,
      0.6532423936838514,
      0.6476973662557495,
      0.6422102379078782,
      0.6367804624690102,
      0.6314074233395885,
      0.6260904579642974,
      0.620828875359557,
      0.6156219682527373,
      0.6104692153647521,
      0.6053704335251857,
      0.6003253433928963,
      0.5953335341176225,
      0.5903945056917062,
      0.5855076991468285,
      0.5806725173356139,
      0.5758883402317454,
      0.5711545354599836,
      0.5664704655664206,
      0.5618354929192839,
      0.5572489830462033,
      0.5527103072852969,
      0.5482188445325704,
      0.543773981990359,
      0.5393751160414122,
      0.5350216525402255,
      0.5307130069065789,
      0.526448686370036,
      0.5222286699289269,
      0.5180530050912808,
      0.5139215532106723,
      0.5098340481302746,
      0.5057901372233151,
      0.5017894099936644,
      0.49783141776652723,
      0.49391568791985563,
      0.4900417337214407,
      0.48620906102777106,
      0.4824171730636398,
      0.47866557370668245,
      0.4749537697217717,
      0.4712812721317816,
      0.4676475974939997,
      0.46405226832419166,
      0.4604948137391533,
      0.4569747694310354,
      0.45349167788996325,
      0.45004508859654113,
      0.4466345578555411,
      0.44325964865260475,
      0.43991993081412245,
      0.43661498081000427,
      0.4333443815052714,
      0.430107722267149,
      0.42690459861440905,
      0.4237346122993456,
      0.4205973711111202,
      0.4174924887560907,
      0.4144195848158735,
      0.411378284376114,
      0.4083682181655033,
      0.4053890223913229,
      0.40244033865352996,
      0.3995218137084825,
      0.3966330994892068,
      0.39377385300107737,
      0.3909437362458016,
      0.3881424159448162,
      0.3853695636214211,
      0.3826248554825063,
      0.37990797232925655,
      0.37721859942006336,
      0.3745564263112641,
      0.3719211470066422,
      0.3693124597290987,
      0.3667300667977791,
      0.3641736746867962,
      0.36164299378262244,
      0.35913773857787673,
      0.3566576272840995,
      0.35420238190650283,
      0.3517717281441358,
      0.3493653954470044,
      0.3469831169506643,
      0.3446246291861288,
      0.34228967209891725,
      0.33997798919960726,
      0.33768932726106465,
      0.3354234363250994,
      0.33318010051098484,
      0.3309592263575618,
      0.3287605996074134,
      0.32658393657336454,
      0.3244289696120094,
      0.3222954432139261,
      0.32018311129431365,
      0.3180917353386647,
      0.316021082951873,
      0.3139709269966139,
      0.3119410447197386,
      0.3099312172326914,
      0.3079412293191084,
      0.305970868957778,
      0.30401992704348696,
      0.30208819744422466,
      0.3001754767593456,
      0.2982815641466993,
      0.2964062613967896,
      0.29454937278254717,
      0.2927107050802372,
      0.2908900673150939,
      0.28908727086760455,
      0.28730212941948663,
      0.2855344588784584,
      0.2837840772698269,
      0.28205080497559415,
      0.28033446448295635,
      0.2786348803024708,
      0.27695188416733274,
      0.2752853397377082,
      0.2736351170799692,
      0.27200107573340854,
      0.2703830685188813,
      0.2687809439442992,
      0.2671945479169947,
      0.2656237251254569,
      0.264068319803297,
      0.262528176514148,
      0.2610031405410666,
      0.25949305818700547,
      0.257997776885915,
      0.2565171454556389,
      0.2550510142010866,
      0.2535992349064219,
      0.2521616599658349,
      0.25073811795693934,
      0.24932842647792677,
      0.2479324169029506,
      0.24654993075307308,
      0.24518081717462675,
      0.24382493116938062,
      0.24248213236676547,
      0.24115228405357464,
      0.23983525252112683,
      0.23853090661305562,
      0.2372391173446542,
      0.23595975768161515,
      0.23469270245195417,
      0.23343782803441251,
      0.23219501238226795,
      0.23096413487334358,
      0.2297450772964833,
      0.22853772373928227,
      0.2273419591217853,
      0.22615766913179514,
      0.22498474049250872,
      0.22382306088930629,
      0.22267251905184263,
      0.22153300490259645,
      0.22040442638050947,
      0.219286733918146,
      0.21817987032246136,
      0.21708376379413083,
      0.21599833247054764,
      0.21492348764491384,
      0.21385913615686128,
      0.21280518190010458,
      0.21176152699998696,
      0.21072807276700634,
      0.20970472007412916,
      0.2086913698586721,
      0.20768792347104012,
      0.20669428268063908,
      0.20571035006444766,
      0.20473602901619495,
      0.2037712236686914,
      0.20281583908578496,
      0.2018697812152462,
      0.20093295695882146,
      0.20000527411810318,
      0.1990866414830851,
      0.1981769688096595,
      0.1972761667361442,
      0.19638414143871644,
      0.1955007796959744,
      0.19462597060021405,
      0.19375961164783198,
      0.19290160659586406,
      0.19205186396564664,
      0.1912102959458378,
      0.19037681757614483,
      0.18955134604316434,
      0.18873380037858603,
      0.18792410126561407,
      0.18712217067311904,
      0.18632793167264822,
      0.1855413083099383,
      0.18476222573425743,
      0.1839906099116788,
      0.18322638773571304,
      0.18246948681009775,
      0.181719835552114,
      0.18097736317146784,
      0.1802419996391957,
      0.17951367568435983,
      0.1787923226410107,
      0.1780778726150227,
      0.17737025838630255,
      0.1766694134661949,
      0.1759752720045338,
      0.17528776882626937,
      0.174606839368405,
      0.17393241978463542,
      0.17326444684876224,
      0.17260285803836253,
      0.17194759134108967,
      0.17129858540619736,
      0.1706557796219389,
      0.17001911377570625,
      0.1693885283518281,
      0.16876396452628323,
      0.16814536393478943,
      0.16753266884990162,
      0.16692582205467896,
      0.16632476703625165,
      0.1657294477367742,
      0.1651398086873942,
      0.16455579502999076,
      0.1639773523628699,
      0.1634044268870427,
      0.16283694173818797,
      0.16227480053155796,
      0.16171791887190165,
      0.16116622281498927,
      0.16061964599247283,
      0.16007812778998726,
      0.1595416117699011,
      0.1590100445806142,
      0.15848337528483933,
      0.15796155452550012,
      0.15744449502759125,
      0.15693202489704683,
      0.15642397525981414,
      0.1559202132766203,
      0.15542063261204506,
      0.15492514667950036,
      0.15443368352076403,
      0.1539461820076328,
      0.15346258909054633,
      0.15298285770140496,
      0.15250694527101943,
      0.1520348126456928,
      0.15156642328378636,
      0.15110174251342648,
      0.15064073716608825,
      0.1501833753113735,
      0.1497296258885884,
      0.14927945865940345,
      0.14883284390279605,
      0.14838975247481556,
      0.1479501556283391,
      0.14751402498741037,
      0.14708133258630268,
      0.14665205073833354,
      0.14622615202675482,
      0.1458036092328307,
      0.1453843955128195,
      0.14496848420095643,
      0.14455584898847512,
      0.14414646367762204,
      0.14374030234976787,
      0.1433373391906779,
      0.14293754875548512,
      0.14254090570035371,
      0.14214738492171594,
      0.1417569615438491,
      0.14136961090706168,
      0.14098530853132343,
      0.14060403015068162,
      0.140225751671874,
      0.13985044924819537,
      0.13947809918887702,
      0.1391086780535599,
      0.13874216249306107,
      0.13837852935776349,
      0.1380177387641551,
      0.13765972819190483,
      0.13730444256199145,
      0.13695183599252722,
      0.136601869561556,
      0.13625450946553955,
      0.13590972578942975,
      0.13556749154603195,
      0.13522778194940197,
      0.13489057381744074,
      0.134555845305226,
      0.13422357571351784,
      0.13389374497703624,
      0.13356633372163723,
      0.1332413230120662,
      0.13291869434968764,
      0.13259842957008197,
      0.1322805108055393,
      0.13196492028322085,
      0.13165164053719047,
      0.13134065431621417,
      0.13103194458780784,
      0.13072549439056536,
      0.13042128692831184,
      0.1301193055949322,
      0.1298195338282261,
      0.12952195530739474,
      0.12922655383962045,
      0.12893331329190008
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991739979163514,
      10.789562078690814,
      10.5782552267661,
      10.35995716575661,
      10.136789496757263,
      9.910661513801173,
      9.683275448419204,
      9.456164519111997,
      9.230716188991192,
      9.0081565484085,
      8.78952028407581,
      8.575636964241207,
      8.367121560873924,
      8.164375242741427,
      7.967596430120991,
      7.776797585549265,
      7.591832647757525,
      7.412428892858521,
      7.238217471807663,
      7.068760217386853,
      6.903575142945597,
      6.742159299538849,
      6.584008376769709,
      6.428633134480763,
      6.2755729260778965,
      6.12440666068881,
      5.974761561579648,
      5.826314037735804,
      5.678789653956588,
      5.531973739084927,
      5.385708019637227,
      5.23990024894041,
      5.094528495435978,
      4.9496409141261015,
      4.805344826268779,
      4.661797688568247,
      4.519208739087958,
      4.37784058929873,
      4.238004225925737,
      4.1000491366581375,
      3.964352380542916,
      3.8313075057625072,
      3.7013145712549576,
      3.574766489868397,
      3.4520371458921133,
      3.3334719862726927,
      3.219380179522259,
      3.110028566661353,
      3.0056375046595853,
      2.9063785841283636,
      2.812374097488037,
      2.7236980506188946,
      2.6403698505553863,
      2.5623527656929563,
      2.4895638516037106,
      2.4218859310696583,
      2.3591724996185883,
      2.3012286306908036,
      2.247799227976937,
      2.1985615163312806,
      2.153122282391493,
      2.111069740246556,
      2.071985208751263,
      2.0354769989329804,
      2.0011520370519347,
      1.9686573340200608,
      1.9377156304562768,
      1.908111184170958,
      1.879677115200273,
      1.8522828131598035,
      1.8258156223116817,
      1.8001765193631496,
      1.7752886520044378,
      1.751090700205905,
      1.7275337962759505,
      1.7045824293086875,
      1.6822069391877708,
      1.6603797688549993,
      1.639075705194983,
      1.6182715441006217,
      1.5979458204794508,
      1.5780785874532834,
      1.5586512356498525,
      1.5396463435080388,
      1.521047552161029,
      1.5028397345148536,
      1.4850089224840037,
      1.467541767543777,
      1.4504254723772747,
      1.4336477801039675,
      1.417196959555387,
      1.4010617879120417,
      1.3852317065646402,
      1.3696970099861339,
      1.354448380344625,
      1.339476797214077,
      1.324773547750496,
      1.3103302311199063,
      1.2961386932701158,
      1.2821908160179871,
      1.268478763100373,
      1.2549950754950792,
      1.241732643209578,
      1.2286846805797,
      1.2158447037742004,
      1.203206511278394,
      1.1907641664437107,
      1.1785121143021708,
      1.1664451917346346,
      1.1545587481129895,
      1.1428484532948175,
      1.13130999531393,
      1.1199393199695433,
      1.108732648350898,
      1.0976862163309684,
      1.0867962852815052,
      1.0760593682559625,
      1.065472269923248,
      1.055031789714582,
      1.0447347208878512,
      1.0345778775309722,
      1.024558114241085,
      1.0146723398169153,
      1.0049175272599415,
      0.9952907203901746,
      0.9857890377822558,
      0.9764096749782352,
      0.9671499058252825,
      0.9580070822084855,
      0.9489786331741302,
      0.940062063621332,
      0.9312549530443,
      0.9225549532795225,
      0.9139597865997938,
      0.9054672435637766,
      0.8970751807905814,
      0.8887815189809891,
      0.8805842176977141,
      0.8724812670440315,
      0.8644707239277257,
      0.856550712464736,
      0.848719473397427,
      0.8409761612497281,
      0.833320658417563,
      0.8257531016394368,
      0.8182736013100291,
      0.8108817957155044,
      0.8035769977526609,
      0.7963582982879684,
      0.7892242477957464,
      0.7821730410128274,
      0.775203003484779,
      0.7683125710592003,
      0.7615002677970109,
      0.7547646901625144,
      0.7481044949173371,
      0.7415183900352041,
      0.7350051285716324,
      0.728563503266072,
      0.7221923430162316,
      0.7158905094400941,
      0.7096568945921102,
      0.7034904191471429,
      0.6973900307220015,
      0.6913547024127925,
      0.6853834320577824,
      0.6794752408556117,
      0.6736291725611846,
      0.6678442926766937,
      0.6621196875638198,
      0.6564545553626807,
      0.650848482694419,
      0.6453010650110873,
      0.6398117780859206,
      0.6343800166837388,
      0.6290051218231818,
      0.6236864004580552,
      0.6184231398261105,
      0.613214739524325,
      0.608061001341639,
      0.6029616634062172,
      0.5979163231325403,
      0.592924482234992,
      0.5879855789283266,
      0.583099010391708,
      0.5782641489772508,
      0.5734803530294496,
      0.5687469749469414,
      0.5640633664874563,
      0.5594288826083914,
      0.5548428838304027,
      0.5503047379995345,
      0.5458138214558106,
      0.5413695198417388,
      0.5369712283021927,
      0.5326183518151603,
      0.5283103443885904,
      0.524047116027187,
      0.5198287443770437,
      0.5156551089363987,
      0.5115259533438823,
      0.5074409289809336,
      0.5033996251463703,
      0.4994015907650446,
      0.49544634879609967,
      0.4915334067489454,
      0.48766226397835566,
      0.48383241690462414,
      0.48004336210007903,
      0.4762945988571483,
      0.47258563081506133,
      0.46891596695708954,
      0.46528512241519393,
      0.46169261880636786,
      0.458137984611559,
      0.45462075524316536,
      0.45114047305696947,
      0.4476966874873844,
      0.44428895474810426,
      0.44091683798799863,
      0.43757990714053546,
      0.4342777388233941,
      0.4310099160343383,
      0.4277760282534639,
      0.4245756713169799,
      0.4214084471137517,
      0.41827396343484613,
      0.4151718341291732,
      0.4121016788537209,
      0.40906312287636903,
      0.40605579708365613,
      0.40307933781253896,
      0.40013338673525545,
      0.3972175907210701,
      0.39433160167442516,
      0.39147507680849775,
      0.388647678107834,
      0.38584907237872607,
      0.383078931276847,
      0.3803369310079369,
      0.3776227523108488,
      0.3749360805460597,
      0.3722766055079678,
      0.3696440211644556,
      0.3670380256543066,
      0.36445832136427375,
      0.3619046148068122,
      0.3593766163745832,
      0.3568740405056504,
      0.3543966055476298,
      0.351944033549935,
      0.34951605018699866,
      0.34711238491422125,
      0.34473277077258435,
      0.3423769442735044,
      0.3400446455172001,
      0.33773561790840545,
      0.33544960806730834,
      0.33318636733344964,
      0.3309457418568255,
      0.3287275152304411,
      0.32653142734673846,
      0.32435722646424564,
      0.32220466757822214,
      0.3200735111533797,
      0.3179635225194336,
      0.3158744711888899,
      0.313806130489604,
      0.31175827729468925,
      0.30973069169593437,
      0.3077231568113016,
      0.305735458661332,
      0.3037673861658448,
      0.3018187309681628,
      0.2998892873278515,
      0.2979788521332738,
      0.2960872247279468,
      0.2942142070346329,
      0.2923596032389388,
      0.29052322007512366,
      0.28870486660830696,
      0.2869043541741783,
      0.2851214964119889,
      0.28335610912442055,
      0.2816080103454023,
      0.27987702028536976,
      0.27816296121735734,
      0.27646566392912597,
      0.2747849919056633,
      0.27312081262787213,
      0.271472983252709,
      0.2698413543636825,
      0.2682257721788669,
      0.2666260804214985,
      0.2650421216443789,
      0.2634737381652913,
      0.2619207726554721,
      0.2603830683579887,
      0.25886046967429094,
      0.2573528222187184,
      0.2558599729259204,
      0.25438177026271735,
      0.2529180642270555,
      0.2514686994460653,
      0.2500334938176427,
      0.24861226735778486,
      0.24720485262433475,
      0.24581109155312245,
      0.24443083314225425,
      0.24306393180997743,
      0.24171024639451785,
      0.24036963910530612,
      0.2390419750959294,
      0.23772712198288343,
      0.23642494946106735,
      0.23513532916746094,
      0.23385813453764556,
      0.2325932406042417,
      0.23134052383818585,
      0.23009986308762587,
      0.22887113973647757,
      0.22765423622972866,
      0.22644903570849262,
      0.2252554223080191,
      0.22407328124168704,
      0.22290249879909552,
      0.22174296233412505,
      0.22059458346726762,
      0.219457305058827,
      0.21833106004722505,
      0.21721577444090143,
      0.2161113672368106,
      0.21501774970095072,
      0.2139348279003094,
      0.212862504590616,
      0.21180068045410627,
      0.21074925511283352,
      0.20970812766564897,
      0.20867719719745637,
      0.20765636295663417,
      0.2066455247737176,
      0.20564458311275022,
      0.20465343928976856,
      0.20367199545193795,
      0.20270015458449672,
      0.20173782062214213,
      0.20078489842321978,
      0.19984129381049476,
      0.1989069136147267,
      0.19798166567093525,
      0.19706545267574416,
      0.19615815708674209,
      0.19525966493088806,
      0.19436987080273527,
      0.19348867557141153,
      0.19261598503962424,
      0.19175170871023042,
      0.19089575890992527,
      0.19004805029217195,
      0.18920849938668288,
      0.18837702432086198,
      0.1875535445217424,
      0.1867379806385603,
      0.18593025445681877,
      0.1851302886636715,
      0.1843380068834905,
      0.1835533335894495,
      0.18277619410682547,
      0.18200651465764536,
      0.18124422221740275,
      0.1804892445014592,
      0.17974150997945662,
      0.17900094794326205,
      0.17826748833580638,
      0.17754106178569226,
      0.1768215997333549,
      0.17610903417808402,
      0.1754032979233384,
      0.17470432436655345,
      0.17401204766018374,
      0.1733264026461962,
      0.17264732472912186,
      0.1719747501204324,
      0.17130861555114893,
      0.1706488583804611,
      0.16999541660496684,
      0.16934822890813642,
      0.1687072345722363,
      0.16807237337981856,
      0.1674435858092566,
      0.16682081299109366,
      0.16620399659048443,
      0.16559307885660732,
      0.16498800252809195,
      0.16438871104546823,
      0.16379514830766168,
      0.16320725895234864,
      0.16262498803421904,
      0.1620482581796839,
      0.16147697141243456,
      0.1609110414655277,
      0.16035039275704988,
      0.15979495750253273,
      0.15924467375415588,
      0.15869948378017087,
      0.15815933316045683,
      0.15762416989435366,
      0.15709393139215716,
      0.15656850502174743,
      0.1560477304253713,
      0.15553144301756128,
      0.15501951160592287,
      0.15451183104635335,
      0.15400831541006527,
      0.15350889296118578,
      0.1530135026647058,
      0.15252209132086644,
      0.1520346116011322,
      0.15155102060307202,
      0.1510712786891778,
      0.15059534884072898,
      0.15012319589454404,
      0.14965478621306927,
      0.1491900872330493,
      0.14872906739338204,
      0.14827169585713953,
      0.14781794233147125,
      0.147367777074219,
      0.14692117083244968,
      0.14647809459850603,
      0.1460385197993413,
      0.14560241824585002,
      0.14516976190556166,
      0.14474052305732749,
      0.1443146742946993,
      0.1438921884158839,
      0.14347303847988163,
      0.1430571977489282,
      0.14264463976538588,
      0.14223533823247295,
      0.14182926713727279,
      0.14142640065835585,
      0.14102671316343515,
      0.14063017925196622,
      0.14023677373516,
      0.13984647165482073,
      0.13945924824589043,
      0.13907507889963827,
      0.13869393929278762,
      0.13831580521228548,
      0.13794065265420613,
      0.1375684578532644,
      0.1371991940772018,
      0.1368328073794664,
      0.13646923482431328,
      0.13610842462261472,
      0.1357503332086943,
      0.13539492325381786,
      0.13504216205995306,
      0.13469202040393238,
      0.13434447177689787,
      0.13399949161483224,
      0.13365705685496898,
      0.13331714562492245,
      0.1329797370255959,
      0.1326448109178356,
      0.13231234764827518,
      0.13198232806352603,
      0.13165473334797123,
      0.13132954500276522,
      0.1310067447433718,
      0.13068631458886004,
      0.13036823678049575,
      0.1300524937202119,
      0.12973906803067134,
      0.1294279424252223,
      0.12911909976270372,
      0.1288125230455205,
      0.1285081954500532,
      0.12820610026872056,
      0.12790622093503576,
      0.1276085410175964,
      0.12731304423981765,
      0.1270197143921864
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.99171980441822,
      10.789495281062027,
      10.578120681554672,
      10.359738855590125,
      10.136476762106286,
      9.910248091141195,
      9.682759368200461,
      9.455546753539254,
      9.229999109902959,
      9.007343747509454,
      8.788615976858063,
      8.574645450557933,
      8.366046918566733,
      8.163221078961191,
      7.966365546909926,
      7.775491757312641,
      7.590452915951768,
      7.410975685646792,
      7.2366905972372,
      7.067158906232009,
      6.901898174578624,
      6.740405145448752,
      6.582175357705907,
      6.426719581762482,
      6.273577346039192,
      6.122327897377945,
      5.97259895659937,
      5.824067715588986,
      5.676460559114426,
      5.529563818345266,
      5.383220097373343,
      5.237338091553001,
      5.0918970761032,
      4.946946456771923,
      4.802594676586138,
      4.6590005308795694,
      4.516374729883716,
      4.3749809189315885,
      4.2351309533471095,
      4.097174981185497,
      3.9614904788627627,
      3.828471228058047,
      3.698517303004615,
      3.572021174116628,
      3.449356027009005,
      3.330866382470037,
      3.216860291813027,
      3.107603331305887,
      3.003314492523699,
      2.904163946474452,
      2.810272554739532,
      2.7217129204878416,
      2.6385023955451197,
      2.5606023621141722,
      2.487928195879824,
      2.420361886196433,
      2.3577553845236627,
      2.299911510618868,
      2.246573029580086,
      2.1974137885876295,
      2.152039100237999,
      2.1100370617725517,
      2.070989899550541,
      2.034506565766779,
      2.0001947803240534,
      1.967704018735945,
      1.9367594285275755,
      1.9071470251638443,
      1.878701194301854,
      1.851292380703881,
      1.8248085976218573,
      1.799151379533393,
      1.7742443126782166,
      1.7500264933314698,
      1.7264488924835573,
      1.7034758459746229,
      1.6810780489419828,
      1.6592281971238843,
      1.6379012677325655,
      1.6170741991504904,
      1.5967256315200633,
      1.5768356949989095,
      1.5573858354429786,
      1.5383586701559209,
      1.519737866649972,
      1.5015081179503207,
      1.483655358542462,
      1.4661663150016393,
      1.4490282451488194,
      1.4322289324033222,
      1.415756673997545,
      1.399600267010272,
      1.383749190562866,
      1.368193753236425,
      1.3529246350508886,
      1.3379328120547533,
      1.3232095664203034,
      1.3087464912930822,
      1.2945353387416,
      1.2805679431445898,
      1.2668364917002737,
      1.2533335420793867,
      1.2400519959482317,
      1.2269850751309057,
      1.2141263002273135,
      1.2014694720026322,
      1.1890086545333376,
      1.176738306655858,
      1.164653282774164,
      1.1527489517914842,
      1.1410209701638359,
      1.1294652088256172,
      1.1180777966915947,
      1.106854869653469,
      1.0957925802049189,
      1.0848871635018402,
      1.0741352062025085,
      1.0635334628151807,
      1.0530786648453607,
      1.042767553033553,
      1.0325969006781242,
      1.0225635306651604,
      1.0126643273372289,
      1.002896244680378,
      0.9932563114890021,
      0.983741634467057,
      0.9743493999150822,
      0.9650768740881737,
      0.9559214027144608,
      0.9468804099056601,
      0.9379513966379944,
      0.9291319388273295,
      0.9204196855792312,
      0.9118123569227715,
      0.9033077414019491,
      0.8949036937451106,
      0.8865981328824162,
      0.8783890136196529,
      0.8702743238506863,
      0.8622521203572172,
      0.854320526922653,
      0.846478396586684,
      0.8387255473475989,
      0.8310620289020039,
      0.823487975386707,
      0.8160030680875144,
      0.8086066398381953,
      0.8012977851812121,
      0.7940753434878797,
      0.7869375940886383,
      0.7798827198109278,
      0.7729090445705201,
      0.7660150028964494,
      0.7591991184364099,
      0.7524599871662532,
      0.7457962657290844,
      0.739206662388821,
      0.732689930380597,
      0.7262448628846669,
      0.7198702889062542,
      0.7135650703110256,
      0.7073280996085063,
      0.7011582977714802,
      0.6950546128288821,
      0.6890160183441743,
      0.683041512339947,
      0.6771301162133262,
      0.6712808739237061,
      0.6654928512777305,
      0.659765147317664,
      0.6540972147233951,
      0.6484886936036016,
      0.6429390866818822,
      0.6374478031164829,
      0.6320141897091229,
      0.6266375530031701,
      0.621317175469412,
      0.616052407235491,
      0.6108429849239289,
      0.6056886709818446,
      0.6005890754165102,
      0.5955437045898772,
      0.5905519960194161,
      0.5856133426350871,
      0.5807271098014968,
      0.5758926472961102,
      0.5711092979118046,
      0.566376402967279,
      0.5616933064491677,
      0.5570593577759841,
      0.5524739136274309,
      0.5479363392789579,
      0.5434460093976673,
      0.5390023084055728,
      0.5346046306932034,
      0.5302523809153527,
      0.5259453864104433,
      0.5216837492203973,
      0.5174673710107003,
      0.5132960083610735,
      0.5091693189147296,
      0.5050868934674739,
      0.5010482791917358,
      0.49705299516714047,
      0.4931005435773139,
      0.4891904175536932,
      0.4853221065069776,
      0.4814950997285517,
      0.47770888911535403,
      0.4739629707482955,
      0.470256846043071,
      0.46659002250428905,
      0.46296201423868905,
      0.45937234230686613,
      0.455820534763249,
      0.4523061268687599,
      0.448828660994297,
      0.44538768652156635,
      0.44198275979177887,
      0.43861344410395653,
      0.435279309406754,
      0.43197993239622756,
      0.42871489635952476,
      0.42548379084025606,
      0.42228621166049835,
      0.41912176086656694,
      0.4159900465488257,
      0.4128906825868693,
      0.4098232887259248,
      0.4067874904008343,
      0.4037829185875513,
      0.40080920968164485,
      0.3978660054301806,
      0.39495295276400966,
      0.3920697038613775,
      0.38921591588401894,
      0.3863912508174015,
      0.383595375593723,
      0.38082796186202494,
      0.37808868593939576,
      0.3753772287658274,
      0.37269327550603365,
      0.37003651586700104,
      0.36740664385909977,
      0.3648033578669825,
      0.36222636021506505,
      0.3596753573731092,
      0.35715005986007264,
      0.3546501820503577,
      0.35217544223870845,
      0.34972556242931485,
      0.3473002683829562,
      0.3448992895928702,
      0.34252235908631806,
      0.340169213383565,
      0.3378395924099534,
      0.3355332395009772,
      0.33324990141226773,
      0.3309893408500932,
      0.32875132659083256,
      0.3265356243270067,
      0.324341999604864,
      0.3221702187062925,
      0.32002004938666917,
      0.31789126131914086,
      0.3157836261958461,
      0.3136969180850883,
      0.3116309136638914,
      0.3095853919709044,
      0.3075601345952673,
      0.3055549258180001,
      0.30356955252943657,
      0.3016038040363145,
      0.29965747229286527,
      0.297730351754893,
      0.2958222394040704,
      0.2939329346240274,
      0.29206223933537934,
      0.29020995781784964,
      0.2883758967532423,
      0.2865598650567462,
      0.2847616739544643,
      0.28298113700200506,
      0.2812180699298767,
      0.27947229065850887,
      0.27774361939451814,
      0.27603188535651796,
      0.27433695095453403,
      0.2726586814956759,
      0.2709969320163224,
      0.2693515507971951,
      0.2677223819587528,
      0.2661092672240668,
      0.2645120471353745,
      0.2629305619837367,
      0.2613646523659048,
      0.25981415967605215,
      0.2582789263434754,
      0.2567587961228406,
      0.2552536140812932,
      0.2537632267791121,
      0.2522874823772576,
      0.2508262152709886,
      0.24937923764240472,
      0.24794637116247323,
      0.24652744905160268,
      0.24512231327578565,
      0.24373081242291852,
      0.24235280014905938,
      0.24098813422728063,
      0.23963667569927818,
      0.23829828849555182,
      0.2369728389249478,
      0.2356601953370476,
      0.23436022793034744,
      0.23307280873162806,
      0.23179781136413136,
      0.23053511145632416,
      0.22928458764275722,
      0.2280461197498782,
      0.2268195883342414,
      0.22560487498516474,
      0.22440186226098413,
      0.22321043390771764,
      0.2220304748265015,
      0.22086190048877577,
      0.21970465306152476,
      0.21855866108589475,
      0.21742384134625972,
      0.21630010267291003,
      0.21518735118847768,
      0.21408549427303136,
      0.21299443596928597,
      0.2119140771590688,
      0.21084431694743397,
      0.20978505330077396,
      0.208736183883809,
      0.20769760641053256,
      0.20666921898217142,
      0.20565092015843175,
      0.20464260929699432,
      0.20364418653881575,
      0.20265555292298254,
      0.20167661036440415,
      0.20070726167211195,
      0.19974741071041166,
      0.19879696223227117,
      0.19785581749428868,
      0.19692385784345265,
      0.19600096455193936,
      0.19508702799742916,
      0.19418194540581596,
      0.19328561919224327,
      0.19239795555059958,
      0.19151886384568123,
      0.19064825582592346,
      0.18978604520109035,
      0.18893214737970188,
      0.18808647919948338,
      0.1872489587013351,
      0.18641950500886942,
      0.18559803838997216,
      0.18478448004217662,
      0.183978752021441,
      0.1831807772881283,
      0.1823904796159138,
      0.18160778373282765,
      0.180832615019827,
      0.18006489969531753,
      0.1793045647096654,
      0.17855153783309477,
      0.17780574751734338,
      0.17706712300134636,
      0.17633559424146658,
      0.17561109185679108,
      0.1748935472423009,
      0.1741828924044973,
      0.17347906011748868,
      0.17278198377598067,
      0.1720915975179078,
      0.17140783614593047,
      0.1707306351019705,
      0.1700599304187611,
      0.16939565880049054,
      0.16873775766750185,
      0.168086165000208,
      0.16744081931194105,
      0.16680166000535984,
      0.16616862689225836,
      0.16554166038932422,
      0.1649207015374847,
      0.1643056920047056,
      0.16369657400806598,
      0.16309329031425068,
      0.16249578430541803,
      0.161903999945596,
      0.1613178638672815,
      0.16073727717477,
      0.16016215015894458,
      0.15959240436278826,
      0.15902796975273512,
      0.15846878253938687,
      0.15791478338481127,
      0.1573659164154374,
      0.15682212775881518,
      0.1562833341214057,
      0.15574940833877,
      0.15522021451583945,
      0.15469559556479884,
      0.1541754166837143,
      0.15365956982441648,
      0.15314796679759748,
      0.15264053405076924,
      0.15213720902320058,
      0.1516379371916248,
      0.15114267010137267,
      0.15065136384674627,
      0.15016397799532535,
      0.1496804746270195,
      0.14920081780930547,
      0.14872497311165975,
      0.1482529073292833,
      0.14778458816698192,
      0.14731998407913155,
      0.14685906409977614,
      0.14640179790385952,
      0.14594815564189453,
      0.14549810775724242,
      0.14505162506542757,
      0.144608678739193,
      0.14416924026964772,
      0.14373328139664274,
      0.14330077409092104,
      0.1428716905689495,
      0.1424460032514224,
      0.14202368500238363,
      0.14160470869564315,
      0.1411890475192574,
      0.14077667491825172,
      0.1403675645195348,
      0.13996169019091753,
      0.13955902604376016,
      0.13915954636652375,
      0.138763225686246,
      0.1383700387799343,
      0.13797996056604475,
      0.1375929661237194,
      0.13720903076975918,
      0.13682813004753183,
      0.13645023975481857,
      0.1360753280062165,
      0.13570333283004918,
      0.1353341933571604,
      0.13496785916051915,
      0.13460428761855028,
      0.13424344198948457,
      0.13388528990908655,
      0.13352980230632075,
      0.13317695264322219,
      0.13282671631083134,
      0.132479070159835,
      0.1321339921450756,
      0.13179146110134027,
      0.13145145650988108,
      0.13111395843927562,
      0.1307789473610743,
      0.13044640413891084,
      0.13011630996189488,
      0.12978864619643196,
      0.12946339453126654,
      0.12914053683128568,
      0.12882005510634204,
      0.12850193160805776,
      0.12818614871089062,
      0.1278726890040059,
      0.12756153516734114,
      0.12725267004533397,
      0.12694607657498874,
      0.12664173784781518,
      0.12633963716595237,
      0.12603975786371852,
      0.12574208344752666,
      0.12544659750717865,
      0.12515328383751448
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.99169900088074,
      10.789427159534439,
      10.577984324580479,
      10.35951843212555,
      10.136161846781297,
      9.909832529056526,
      9.682241258370224,
      9.4549271241736,
      9.229280386389169,
      9.006529408600413,
      8.787710286001206,
      8.57365274717147,
      8.3649713121044,
      8.162066203308017,
      7.965134230657905,
      7.7741858030724345,
      7.589073390673777,
      7.409523037132373,
      7.23516465021923,
      7.065558907811786,
      6.900222921152243,
      6.7386531266644445,
      6.580344911906935,
      6.42480905980365,
      6.271585273886398,
      6.12025313923389,
      5.970440875161954,
      5.82182645618878,
      5.674137085682795,
      5.527160097279749,
      5.380738975950697,
      5.234783357055199,
      5.089273717985089,
      4.944260709782313,
      4.79985390125861,
      4.656213422511792,
      4.513551447800401,
      4.372132646262172,
      4.232269731135945,
      4.094313499601757,
      3.9586418356864033,
      3.825648743109287,
      3.6957342985647816,
      3.569290523375958,
      3.44668989951646,
      3.3282760176554316,
      3.2143558110274024,
      3.1051935920182445,
      3.0010069898316845,
      2.901964760592929,
      2.8081863409344185,
      2.7197429381981437,
      2.636649856062234,
      2.5588666002993126,
      2.4863068789421643,
      2.4188518593374275,
      2.356351847426889,
      2.2986074405089116,
      2.245359111381717,
      2.1962776759454243,
      2.1509669851952644,
      2.1090150182618066,
      2.070004902769943,
      2.0335460957763414,
      1.999247059340071,
      1.9667599707126755,
      1.9358123452133211,
      1.9061919262111322,
      1.8777343417572967,
      1.8503110757862116,
      1.8238107979490574,
      1.7981355978558042,
      1.7732094828114953,
      1.748971959944483,
      1.7253741244318654,
      1.7023799303133962,
      1.6799602701842467,
      1.658088113201725,
      1.6367386426683488,
      1.615888951201733,
      1.5955177938761704,
      1.5756053850650134,
      1.5561332314232834,
      1.537083993177805,
      1.518441367423476,
      1.500189989690788,
      1.4823155918922197,
      1.4648049334011881,
      1.4476453354382395,
      1.4308246275971024,
      1.4143311408272012,
      1.398153695590827,
      1.3822818118686455,
      1.3667058147660072,
      1.351416383807776,
      1.3364044923054057,
      1.321661418591599,
      1.3071787414750513,
      1.2929481093401232,
      1.278961338219883,
      1.2652106372971637,
      1.2516885797204347,
      1.2383880776051988,
      1.225302359415577,
      1.212424949949624,
      1.199749651718945,
      1.18727052889476,
      1.1749820541530032,
      1.162879099052898,
      1.1509570523272956,
      1.1392117401527357,
      1.127639218575393,
      1.1162355356644624,
      1.104996743429823,
      1.093918929380892,
      1.0829983641625973,
      1.0722316857803742,
      1.0616155738684103,
      1.0511467019180063,
      1.0408217659758723,
      1.0306375047551208,
      1.0205907141272246,
      1.010678257581057,
      1.000897072499747,
      0.9912441747434231,
      0.9817166606641672,
      0.9723117086774141,
      0.9630265783880662,
      0.9538586101508766,
      0.9448052237188234,
      0.9358639164128096,
      0.9270322612422806,
      0.9183079046425386,
      0.9096885641533395,
      0.9011720263115,
      0.892756144266037,
      0.8844388354875615,
      0.8762180500306005,
      0.8680917737381312,
      0.8600580630181891,
      0.8521154523769423,
      0.8442636273099074,
      0.8365025404980434,
      0.8288323300561704,
      0.821252731433462,
      0.8137631045774144,
      0.8063625524487308,
      0.7990500053199021,
      0.7918240297388394,
      0.7846827378035911,
      0.7776243220409012,
      0.77064711339661,
      0.7637495518423977,
      0.7569301647808835,
      0.7501875513721503,
      0.7435203706147734,
      0.7369273327019769,
      0.7304071923407421,
      0.7239587436176191,
      0.7175808164302083,
      0.7112722735408888,
      0.7050320078186153,
      0.6988589408894923,
      0.6927520212390195,
      0.6867102228606324,
      0.6807325440457573,
      0.6748180065965662,
      0.6689656549048425,
      0.6631745549499506,
      0.6574439876951607,
      0.6517735683240414,
      0.6461628370578764,
      0.6406112252825794,
      0.6351180909080779,
      0.6296827441245142,
      0.6243044650575579,
      0.6189825526713865,
      0.6137166713318186,
      0.6085066121736528,
      0.6033520004312837,
      0.5982523490700681,
      0.5932070961951382,
      0.5882156311593307,
      0.5832773128609519,
      0.578391482681157,
      0.5735574734775961,
      0.5687746160644006,
      0.564042243607247,
      0.5593596942556558,
      0.5547263134477509,
      0.5501414551584897,
      0.5456044827599869,
      0.5411147696256102,
      0.5366716992776922,
      0.5322746655908139,
      0.5279233836577008,
      0.5236179388567574,
      0.5193582648574205,
      0.5151441373555279,
      0.5109752245218565,
      0.5068511218088911,
      0.5027713767787012,
      0.4987355062217861,
      0.49474300794037723,
      0.4907933693735455,
      0.4868860733227617,
      0.48302060207097425,
      0.47919644003707734,
      0.4754130756121406,
      0.4716700024645432,
      0.46796672039618953,
      0.46430273603346545,
      0.46067756289830675,
      0.4570907216503359,
      0.45354174024593386,
      0.45003015386516404,
      0.44655550475808287,
      0.44311734236807593,
      0.4397152232245657,
      0.4363487106818882,
      0.43301737493683723,
      0.42972079268942653,
      0.4264585472866851,
      0.4232302284596929,
      0.42003543216284445,
      0.41687376056665276,
      0.41374482184767825,
      0.410648230056492,
      0.40758360501213303,
      0.4045505721476226,
      0.40154876250933813,
      0.3985778126827877,
      0.3956373645429367,
      0.3927270651336527,
      0.38984656654986,
      0.38699552594908715,
      0.38417360546454965,
      0.3813804720448505,
      0.37861579737311535,
      0.3758792578405499,
      0.37317053424327806,
      0.3704893119150741,
      0.3678352805835475,
      0.3652081342812551,
      0.36260757126043774,
      0.36003329401336237,
      0.3574850089916215,
      0.35496242665966543,
      0.3524652613998455,
      0.34999323152343476,
      0.34754605900606267,
      0.3451234696084797,
      0.34272519277320856,
      0.3403509614999171,
      0.3380005122759644,
      0.3356735850240649,
      0.3333699230795081,
      0.3310892203597474,
      0.32883121222595735,
      0.32659569075473405,
      0.32438243929699273,
      0.3221912358516911,
      0.32002185578492504,
      0.3178740731208114,
      0.31574766192263304,
      0.3136423970444308,
      0.31155805473955456,
      0.30949441305194253,
      0.30745125217032676,
      0.3054283544792452,
      0.3034255046382167,
      0.301442489740362,
      0.29947909933489936,
      0.297535125593585,
      0.2956103629732099,
      0.2937046084418408,
      0.2918176613786134,
      0.2899493236055734,
      0.28809939937311146,
      0.2862676952485669,
      0.2844540201111221,
      0.2826581851004993,
      0.280880003722827,
      0.2791192915163441,
      0.27737586629332817,
      0.2756495553425211,
      0.27394021943825503,
      0.27224772196944125,
      0.27057191593172125,
      0.2689126476406296,
      0.26726975918129403,
      0.26564309034377614,
      0.26403247969389254,
      0.26243776550976844,
      0.26085878637097853,
      0.2592953816697134,
      0.25774739191868234,
      0.256214658921084,
      0.2546970259170835,
      0.2531943376190472,
      0.25170644038976564,
      0.2502331574693349,
      0.24877429786530963,
      0.24732968430048952,
      0.24589915025557063,
      0.244482537447354,
      0.2430796937559288,
      0.2416904719236069,
      0.24031472857584743,
      0.23895232363680333,
      0.23760311958963845,
      0.236266981343469,
      0.23494377584005505,
      0.23363337195948858,
      0.23233564024073,
      0.23105045314098077,
      0.22977768619173633,
      0.22851721648058837,
      0.22726892201551208,
      0.22603268175260788,
      0.22480837572796802,
      0.22359588501411173,
      0.22239509193364382,
      0.221205912608193,
      0.22002828802461533,
      0.21886214409352878,
      0.21770739499756186,
      0.21656394690954123,
      0.21543170077594595,
      0.2143105540614531,
      0.21320040269537183,
      0.2121011465097939,
      0.21101268670284185,
      0.20993492209775735,
      0.20886775035345456,
      0.2078110684566917,
      0.20676477326199272,
      0.20572876200468043,
      0.20470293239441087,
      0.203687182760993,
      0.20268141212510776,
      0.20168552050007527,
      0.2006994087893884,
      0.19972297889070426,
      0.1987561326833604,
      0.19779875337260147,
      0.19685071567209614,
      0.1959119046703515,
      0.19498221296813348,
      0.19406153882518398,
      0.1931497848371032,
      0.19224685686941678,
      0.19135266347477467,
      0.190467115370395,
      0.1895901249491382,
      0.18872160626668735,
      0.18786147470399076,
      0.1870096467616661,
      0.1861660399723989,
      0.18533057296973138,
      0.18450316540783396,
      0.18368373774487573,
      0.18287221127055842,
      0.18206850818748416,
      0.181272551580999,
      0.180484265239412,
      0.17970357388377242,
      0.1789304029042361,
      0.17816467851889106,
      0.17740632769352754,
      0.17665527811470466,
      0.17591145827987648,
      0.17517479737395555,
      0.17444522533892345,
      0.1737226727936813,
      0.17300707107027402,
      0.17229835215112227,
      0.1715964487353237,
      0.1709012943077461,
      0.17021282290538062,
      0.16953096929255865,
      0.16885566884640912,
      0.16818685758398202,
      0.16752447222982603,
      0.16686845019727628,
      0.16621872948271824,
      0.16557524867647405,
      0.16493794697599745,
      0.1643067641243689,
      0.16368164065011567,
      0.16306251756880674,
      0.16244933649360696,
      0.1618420396461997,
      0.16124056983776255,
      0.16064486120171634,
      0.16005481521952875,
      0.1594703371948322,
      0.15889134495807888,
      0.1583177654447498,
      0.15774953232009895,
      0.15718658417030015,
      0.15662886343140328,
      0.15607630941980127,
      0.1555288249264027,
      0.15498627813201873,
      0.15444855038330454,
      0.15391550480522329,
      0.15338699791233612,
      0.15286291517554632,
      0.15234316333523748,
      0.15182766507735762,
      0.1513163548139836,
      0.15080917563479443,
      0.15030607717001374,
      0.1498070138854696,
      0.1493119440132423,
      0.14882082849678166,
      0.1483336303917941,
      0.14785031435134963,
      0.1473708463653537,
      0.1468951933140578,
      0.14642332298311841,
      0.14595520378293433,
      0.14549080469314699,
      0.145030095158255,
      0.14457304499776083,
      0.14411962433662356,
      0.14366980378515173,
      0.1432235541878786,
      0.14278084667249175,
      0.1423416526742381,
      0.1419059438659835,
      0.1414736921591949,
      0.1410448697885364,
      0.14061944913671687,
      0.14019740282704143,
      0.13977870375962204,
      0.13936332502141396,
      0.13895123998138303,
      0.13854242218311816,
      0.13813684541618598,
      0.13773448364847674,
      0.13733531102909982,
      0.13693930199382662,
      0.1365464312251096,
      0.136156673543277,
      0.13577000396967662,
      0.13538639785453138,
      0.13500582048273116,
      0.1346282069230706,
      0.1342534963297052,
      0.13388163820266127,
      0.13351258978289027,
      0.13314631413257855,
      0.13278277860035323,
      0.13242195396474649,
      0.13206381336182468,
      0.13170833184540368,
      0.1313554858590002,
      0.13100525302509583,
      0.13065761175433074,
      0.13031254122676933,
      0.1299700210833041,
      0.12963003147524726,
      0.12929255292490346,
      0.12895756621942817,
      0.12862505242020414,
      0.1282949928541274,
      0.127967368997609,
      0.12764216254599478,
      0.12731935539435515,
      0.12699892958745518,
      0.1266808672764988,
      0.12636515089906647,
      0.12605176290824147,
      0.12574068589012377,
      0.12543190260531215,
      0.12512539599924485,
      0.12482114910505847,
      0.12451914504233536,
      0.12421936713691417,
      0.123921798837932,
      0.12362642378801413,
      0.12333322556971574
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991677703036546,
      10.789358028015036,
      10.577846595295503,
      10.359296414263525,
      10.135845208752619,
      9.909415187134321,
      9.681721385142614,
      9.454305804885646,
      9.228560095381807,
      9.005713648330545,
      8.78680334685719,
      8.572658991937466,
      8.363894871637692,
      8.160910727946833,
      7.96390256375161,
      7.772879763997144,
      7.587694061630828,
      7.408070876241483,
      7.2336394923510134,
      7.0639600108799145,
      6.898549092364601,
      6.736902868629099,
      6.578516579251776,
      6.422901018635842,
      6.269596066739132,
      6.118181648815184,
      5.968286482001338,
      5.819589323872156,
      5.671818196673212,
      5.524761437105228,
      5.378263414937478,
      5.232234704526255,
      5.086656981437387,
      4.9415821371595205,
      4.797120868513128,
      4.653434639108521,
      4.510737080650079,
      4.369293876453269,
      4.229418587275574,
      4.0914626496649245,
      3.955804344329875,
      3.82283793082013,
      3.692963427578111,
      3.5665723997502976,
      3.4440366208679825,
      3.3256987492794154,
      3.2118645986439143,
      3.102797219162124,
      2.998712880267607,
      2.899778926980458,
      2.806113377104235,
      2.71778604872897,
      2.634810204274701,
      2.5571434806936475,
      2.484697930201019,
      2.4173537483396714,
      2.35495947242592,
      2.2973135968486136,
      2.2441544259211215,
      2.195149947902455,
      2.1499025640489418,
      2.10800013271313,
      2.0690266770127006,
      2.0325920519747265,
      1.9983054974294203,
      1.965821942562635,
      1.934871238573997,
      1.9052428324220947,
      1.876773576083143,
      1.8493359794084478,
      1.8228193576218612,
      1.7971263470444212,
      1.772181370050129,
      1.7479243403505353,
      1.7243064864211826,
      1.7012913604765934,
      1.6788500513267337,
      1.6569558015930705,
      1.6355840009848284,
      1.61471189668873,
      1.5943183584521003,
      1.5743836845719645,
      1.554889442431358,
      1.5358183354824362,
      1.5171540903147738,
      1.4988813617967625,
      1.4809857036535707,
      1.463453764690604,
      1.4462729391327398,
      1.429431110686618,
      1.412916649374055,
      1.3967184037436284,
      1.3808259379723222,
      1.3652295965252157,
      1.3499200605622532,
      1.3348883025400446,
      1.3201255981793607,
      1.3056234709192738,
      1.2913734822685756,
      1.2773674739147922,
      1.2635976732277312,
      1.2500566662216852,
      1.2367373734743028,
      1.2236330287262411,
      1.2107371596225889,
      1.1980435696411222,
      1.1855463282801124,
      1.1732399193213956,
      1.1611192251488207,
      1.149179830616131,
      1.1374177467223083,
      1.1258289510465849,
      1.114409406675137,
      1.1031550996172321,
      1.092062066232985,
      1.0811266722779804,
      1.070345551820547,
      1.059715319316204,
      1.0492325980535173,
      1.038894045025186,
      1.0286963685984492,
      1.018636341135978,
      1.0087108075424267,
      0.9989166905498985,
      0.9892509945688889,
      0.9797108069762663,
      0.9702932986059714,
      0.9609957231703592,
      0.9518154160492982,
      0.9427497931862381,
      0.9337963485915854,
      0.9249526522550107,
      0.9162163481836484,
      0.9075851517206206,
      0.8990568476888817,
      0.8906292876471525,
      0.8823003875457173,
      0.8740680925770749,
      0.8659303867796385,
      0.857885540719104,
      0.8499330082223601,
      0.8420726463367406,
      0.8343045961119334,
      0.8266286522632265,
      0.8190442052333792,
      0.8115503683856976,
      0.8041460683310212,
      0.7968300926097587,
      0.7896007312845434,
      0.7824560203741951,
      0.7753941693597923,
      0.7684135213922838,
      0.7615125255455751,
      0.7546897159450663,
      0.7479436965578626,
      0.7412731299875207,
      0.7346767291845535,
      0.7281532508391455,
      0.7217014906994426,
      0.7153202799978076,
      0.7090084824983264,
      0.7027649921391672,
      0.6965887312187978,
      0.6904786486435941,
      0.6844337189506707,
      0.6784529408106185,
      0.6725353363602836,
      0.6666799503506469,
      0.6608859188959006,
      0.655152765039923,
      0.6494800738725742,
      0.6438673036837187,
      0.6383138269764048,
      0.6328189594866233,
      0.6273819808438077,
      0.6220021495313283,
      0.6166790460065514,
      0.6114124790623137,
      0.60620209375448,
      0.601047412791935,
      0.5959478766939779,
      0.5909028723925888,
      0.5859117529897929,
      0.5809738519388129,
      0.5760884927379383,
      0.5712549957224682,
      0.5664726828679546,
      0.5617408808764223,
      0.5570589237548395,
      0.5524261539530474,
      0.5478419234931695,
      0.5433055943577336,
      0.53881653895412,
      0.5343741402011625,
      0.5299779899786443,
      0.5256281554604534,
      0.5213246055677461,
      0.5170671379217145,
      0.5128554329400957,
      0.5086890918273088,
      0.5045676631630852,
      0.5004906615114623,
      0.4964575807582813,
      0.4924679027571323,
      0.4885211037308913,
      0.48461665883308475,
      0.48075404496143553,
      0.47693274280221354,
      0.47315223823959396,
      0.4694120232894574,
      0.4657115966886735,
      0.46205046432145375,
      0.45842813928201087,
      0.45484414203217616,
      0.4512980003504646,
      0.4477892493540902,
      0.44431743139012786,
      0.4408820959756076,
      0.4374827997610306,
      0.43411910616261945,
      0.43079058537467674,
      0.42749681435596515,
      0.4242373765367373,
      0.4210118618057903,
      0.41781986624334355,
      0.41466099210970037,
      0.4115348475545866,
      0.40844104678560034,
      0.4053792098827666,
      0.40234896225856803,
      0.399349935035109,
      0.3963817647876978,
      0.3934440935198912,
      0.39053656828531236,
      0.38765884126920636,
      0.38481056972039634,
      0.3819914157589445,
      0.3792010463905617,
      0.3764391332187828,
      0.37370535266889787,
      0.37099938558006157,
      0.36832091730902977,
      0.3656696375835219,
      0.3630452404608316,
      0.36044742416317815,
      0.35787589109480755,
      0.35533034788874196,
      0.3528105050001166,
      0.3503160767864531,
      0.3478467814138007,
      0.345402340945217,
      0.3429824810774684,
      0.3405869311620545,
      0.33821542417922584,
      0.3358676966024003,
      0.33354348838153924,
      0.33124244588595253,
      0.3289642498365325,
      0.3267087145243851,
      0.324475642139218,
      0.3222648232373321,
      0.3200760410509851,
      0.31790907446667804,
      0.315763700051793,
      0.31363969362127736,
      0.3115368313628295,
      0.3094548903592958,
      0.3073936492482721,
      0.3053528885257233,
      0.3033323907999413,
      0.3013319408824469,
      0.2993513258817478,
      0.2973903354531967,
      0.29544876169700823,
      0.2935263990352321,
      0.2916230443469201,
      0.2897384969934276,
      0.28787255873390666,
      0.28602503365836207,
      0.2841957281758316,
      0.2823844510452509,
      0.2805910134497284,
      0.27881522861742103,
      0.2770569120828432,
      0.27531588850138544,
      0.27359201631184055,
      0.2718851572915521,
      0.27019516270493066,
      0.26852187703727576,
      0.26686514051620663,
      0.2652247909142906,
      0.2636006647795572,
      0.26199259841713546,
      0.2604004284089477,
      0.25882399222065067,
      0.2572631284148789,
      0.25571767686601277,
      0.2541874789392018,
      0.25267237746896665,
      0.2511722133966404,
      0.24968680173690835,
      0.24821595165023358,
      0.2467594860824468,
      0.2453172382380156,
      0.24388904908358874,
      0.24247476552790947,
      0.2410742391564342,
      0.23968732532513076,
      0.2383138824701292,
      0.23695377177089652,
      0.2356068566947128,
      0.23427300270076715,
      0.23295207711555452,
      0.23164394897545484,
      0.2303484904771281,
      0.22906557612319633,
      0.22779508116305933,
      0.2265368818793954,
      0.22529085560992843,
      0.22405688075931288,
      0.2228348370045772,
      0.22162463819201492,
      0.22042622368915935,
      0.21923951765001887,
      0.21806443224409144,
      0.21690087157211801,
      0.21574873425214586,
      0.21460791550063366,
      0.21347830851208524,
      0.21235980519417877,
      0.21125229703676685,
      0.21015567806364427,
      0.20906984751566712,
      0.2079947038995164,
      0.20693014446700994,
      0.20587606602347538,
      0.2048323653135914,
      0.20379893934256965,
      0.2027756857101687,
      0.20176250273010068,
      0.20075928943649066,
      0.1997659457962709,
      0.1987823622156814,
      0.19780841038800176,
      0.19684396808200377,
      0.19588892197530197,
      0.1949431652710154,
      0.19400659615319005,
      0.1930791165146618,
      0.1921606312713763,
      0.19125104781458505,
      0.19035027544662705,
      0.18945822516697558,
      0.18857480932412435,
      0.18769994164122866,
      0.18683353694093963,
      0.18597551114132194,
      0.18512578115350425,
      0.18428426491014802,
      0.18345088124424325,
      0.18262554987312066,
      0.18180819137252807,
      0.18099872710254897,
      0.18019707923806155,
      0.17940317087808044,
      0.1786169258529574,
      0.17783826880132597,
      0.17706712522419954,
      0.17630342124924211,
      0.17554708375356318,
      0.17479804038708946,
      0.17405621964955847,
      0.17332155074138078,
      0.17259396351857087,
      0.17187338857735285,
      0.1711597572264865,
      0.1704530014876244,
      0.16975305407261002,
      0.16905984837615612,
      0.16837331841953926,
      0.16769339893661714,
      0.16702002532236354,
      0.16635313359641912,
      0.1656926604195069,
      0.1650385431632672,
      0.16439071976601768,
      0.16374912880693282,
      0.1631137094551459,
      0.1624844015417802,
      0.16186114551983583,
      0.16124388237530715,
      0.1606325536993382,
      0.16002709926993755,
      0.15942742919071434,
      0.15883344194279161,
      0.15824505016023865,
      0.15766217674109398,
      0.15708475216407897,
      0.1565127125723394,
      0.155945998241293,
      0.15538454362569815,
      0.15482824281238602,
      0.1542769613210078,
      0.15373058167386963,
      0.15318899570050493,
      0.1526520652837224,
      0.15211966470908947,
      0.15159169244559656,
      0.15106806480954502,
      0.15054871137709752,
      0.15003357147209584,
      0.1495225917663701,
      0.14901572446809422,
      0.14851292581756903,
      0.1480141551966203,
      0.14751937433250398,
      0.14702854671447874,
      0.14654163730338032,
      0.14605861218944433,
      0.1455794382799039,
      0.14510408318684856,
      0.1446325152131587,
      0.1441647030738416,
      0.14370061593068498,
      0.1432402232884997,
      0.1427834950961597,
      0.142330401582222,
      0.14188091333965525,
      0.14143500116363594,
      0.14099263612575258,
      0.14055378957895961,
      0.1401184331318445,
      0.13968653864287267,
      0.1392580781966117,
      0.13883302407421505,
      0.1384113489410621,
      0.13799302559029256,
      0.13757802701792435,
      0.1371663264347628,
      0.1367578974001434,
      0.13635271350526273,
      0.13595074861635503,
      0.13555197694722879,
      0.13515637281486423,
      0.13476391076448493,
      0.13437456556817506,
      0.1339883033742128,
      0.13360505900279854,
      0.1332247699666864,
      0.1328473844744828,
      0.13247285873799639,
      0.1321011549213219,
      0.13173223960258926,
      0.13136608275535738,
      0.13100265701681912,
      0.13064193688333428,
      0.13028389831398354,
      0.12992851844160086,
      0.12957577526917527,
      0.12922564744580345,
      0.12887811427439264,
      0.12853315545442995,
      0.1281907511636573,
      0.12785088172779402,
      0.12751352787632547,
      0.127178670554243,
      0.12684629089397698,
      0.12651637024500764,
      0.12618889008352555,
      0.12586383203701704,
      0.1255411779858751,
      0.12522090993046484,
      0.12490300997944734,
      0.12458746047868592,
      0.12427424384182435,
      0.1239633426165446,
      0.12365473957051148,
      0.1233484174917717,
      0.12304435935828717,
      0.12274254824079743,
      0.12244296744795292,
      0.12214560034785413,
      0.12185043038063895,
      0.12155744115402872
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991656327678273,
      10.789288723077044,
      10.577708654327369,
      10.359074198150015,
      10.135528385211973,
      9.908997661567726,
      9.681201345900195,
      9.453684347563462,
      9.227839703327584,
      9.00489782831913,
      8.78589638686435,
      8.571665251305802,
      8.362818475930435,
      8.159755324243278,
      7.962670941948514,
      7.771573759518226,
      7.586314771703325,
      7.406618771938606,
      7.232114420657742,
      7.062361242704781,
      6.896875450222458,
      6.735152871365162,
      6.576688595671153,
      6.4209934310420325,
      6.267607435275498,
      6.116110873872975,
      5.966132963122855,
      5.817353242512234,
      5.6695005532862215,
      5.522364188612599,
      5.375789414167938,
      5.229687792662846,
      5.084042195552133,
      4.9389057523641275,
      4.794390290335105,
      4.650658605036305,
      4.507925781839525,
      4.366458511422413,
      4.226571194935206,
      4.088615900262608,
      3.9529712963165,
      3.82003192179887,
      3.69019768932983,
      3.563859702461597,
      3.4413890217661036,
      3.3231273693230405,
      3.2093794372894884,
      3.100407012308707,
      2.9964250046891454,
      2.8975993506189175,
      2.8040466520147778,
      2.715835333961437,
      2.6329766230437577,
      2.5554259825721544,
      2.4830941672689075,
      2.415860374634909,
      2.353571285480045,
      2.2960230696559436,
      2.242952035286157,
      2.1940233638044853,
      2.14883832726112,
      2.106984661022348,
      2.0680473207612535,
      2.031636535650874,
      1.9973622996325784,
      1.964882251322645,
      1.9339285427214208,
      1.9042922978376293,
      1.8758115715983013,
      1.8483598844420803,
      1.8218271844919034,
      1.7961166460340723,
      1.7711531001837322,
      1.7468768627263247,
      1.7232392918361445,
      1.700203517870586,
      1.6777408319685234,
      1.6558247662939498,
      1.6344309144635016,
      1.6135366768415038,
      1.5931210365990038,
      1.5731643755106826,
      1.553648321077889,
      1.5345556191529535,
      1.515870025439561,
      1.497576213952281,
      1.4796596975584704,
      1.4621069071966455,
      1.4449052401936022,
      1.4280426428258033,
      1.4115075313984151,
      1.3952887880504399,
      1.3793760258149748,
      1.3637596118732327,
      1.3484302315300962,
      1.3333788584057622,
      1.3185967673383938,
      1.3040753975671162,
      1.2898062628982894,
      1.2757812300284743,
      1.261992543991129,
      1.2484328030082097,
      1.235094935630905,
      1.2219721803530803,
      1.2090580670062496,
      1.1963463999982742,
      1.183831255505178,
      1.1715071275934636,
      1.1593690818683726,
      1.1474129200176757,
      1.1356345744069642,
      1.1240299366348687,
      1.1125949026740187,
      1.10132540646461,
      1.0902175076703333,
      1.0792676503911673,
      1.0684724046835055,
      1.0578283312061252,
      1.0473320114750642,
      1.0369800701394767,
      1.0267691904748866,
      1.0166961250906827,
      1.0067577034844961,
      0.9969508365961981,
      0.9872725189141822,
      0.9777198298013473,
      0.9682899337718678,
      0.9589800795991301,
      0.9497875985898123,
      0.9407099029152994,
      0.9317444835165707,
      0.9228889079106519,
      0.9141408178691356,
      0.9054979270897181,
      0.896958018421488,
      0.8885189418300681,
      0.8801786100157348,
      0.8719349641710213,
      0.8637860454264961,
      0.8557310037624525,
      0.8477696681629808,
      0.8399020902790233,
      0.832128133661729,
      0.8244472254754014,
      0.8168584934763488,
      0.809360863151384,
      0.8019531272219014,
      0.7946338785881714,
      0.7874011908392717,
      0.7802531230562272,
      0.7731879009496277,
      0.7662038796585964,
      0.7592995170397714,
      0.752473353773161,
      0.745723998666335,
      0.739050117908812,
      0.7324504271124797,
      0.7259236848527473,
      0.7194686883131534,
      0.7130842699851646,
      0.7067692946333854,
      0.7005226570838684,
      0.6943432801490235,
      0.6882301133004843,
      0.6821821313794917,
      0.6761983336770442,
      0.6702777426493624,
      0.6644194032367212,
      0.6586226808827037,
      0.6528871924057449,
      0.6472124293330854,
      0.641597782850017,
      0.6360425771416501,
      0.630546093299289,
      0.6251075860528343,
      0.6197265288150362,
      0.6144027120751245,
      0.6091358083186718,
      0.6039253551087266,
      0.598770799230569,
      0.5936715277013831,
      0.5886268895318607,
      0.5836362110565837,
      0.5786988068933243,
      0.5738139873554915,
      0.5689810634891472,
      0.5641993508458896,
      0.5594681718537923,
      0.5547868573049742,
      0.5501547473738261,
      0.5455711925526444,
      0.5410355539766102,
      0.5365472035216472,
      0.5321056359319932,
      0.52771085028428,
      0.5233628582558518,
      0.5190614837800106,
      0.514806422826178,
      0.5105972844832475,
      0.5064336199285667,
      0.5023149427621112,
      0.49824074308966193,
      0.49421049753981416,
      0.49022367611470713,
      0.48627974694146914,
      0.4823781792720616,
      0.4785184460413941,
      0.4747000253056582,
      0.4709224012034909,
      0.4671850645972986,
      0.46348751342315847,
      0.45982925292986165,
      0.4562097960637368,
      0.4526286630853567,
      0.4490853817413279,
      0.4455794871524922,
      0.4421105217760996,
      0.43867803516235654,
      0.4352815839383428,
      0.43192073173988543,
      0.4285950490158352,
      0.42530411275614033,
      0.42204750649916495,
      0.41882482016126826,
      0.41563564989281043,
      0.4124795980108368,
      0.4093562729588396,
      0.4062652890139459,
      0.4032062660713695,
      0.4001788297870916,
      0.3971826113915333,
      0.39421724748040643,
      0.3912823799859038,
      0.3883776560232771,
      0.3855027278415164,
      0.38265725275177054,
      0.37984089288079326,
      0.37705331525811714,
      0.3742941915499452,
      0.3715631981528357,
      0.3688600159604977,
      0.3661843302608554,
      0.3635358308148752,
      0.36091421165930976,
      0.358319171091834,
      0.3557504115833276,
      0.35320763954230117,
      0.35069056541325616,
      0.34819890347407395,
      0.3457323719936268,
      0.34329069296163045,
      0.3408735920259646,
      0.33848079856167834,
      0.3361120454647073,
      0.33376706917861687,
      0.3314454991336998,
      0.3291469473076328,
      0.3268712213326859,
      0.3246181458758159,
      0.32238752648197594,
      0.32017915610611686,
      0.31799281958203596,
      0.31582829696062187,
      0.3136853656026271,
      0.311563801746259,
      0.3094633818354605,
      0.3073838833085288,
      0.30532508490093224,
      0.3032867670875938,
      0.30126871248749737,
      0.29927070591453303,
      0.29729253444431747,
      0.29533398758591195,
      0.2933948573046922,
      0.2914749380116656,
      0.28957402648092617,
      0.28769192201277466,
      0.28582842623294324,
      0.2839833430873679,
      0.28215647885362677,
      0.28034764228459996,
      0.2785566443756443,
      0.276783298238091,
      0.27502742550024867,
      0.2732888816340288,
      0.2715675270924173,
      0.2698632116352472,
      0.26817577803427106,
      0.26650506462819185,
      0.2648509072217928,
      0.2632131404256807,
      0.26159159854297237,
      0.2599861162740394,
      0.25839652906367966,
      0.2568226734737239,
      0.25526438737908097,
      0.25372151014059496,
      0.25219388279366184,
      0.25068134096743555,
      0.249183692316483,
      0.24770074639217055,
      0.24623232594964645,
      0.24477826360044833,
      0.24333839939160432,
      0.24191257908479274,
      0.24050065304023296,
      0.23910247526890183,
      0.2377179028144063,
      0.23634679527182398,
      0.234989014581478,
      0.23364442471564975,
      0.2323128915235272,
      0.23099428340853895,
      0.22968847178532534,
      0.2283953292689362,
      0.2271147293940515,
      0.2258465467302643,
      0.22459065702553696,
      0.22334693722519874,
      0.22211529572717964,
      0.22089566992369836,
      0.2196879831697343,
      0.21849214630694758,
      0.21730806179225998,
      0.2161356263685531,
      0.21497473312744844,
      0.21382527297166576,
      0.21268713558454871,
      0.21156021008851864,
      0.21044438562406265,
      0.20933955174967306,
      0.20824559903284406,
      0.20716242376588115,
      0.2060899249048871,
      0.20502800002553107,
      0.2039765461197676,
      0.20293546012177854,
      0.20190463912760137,
      0.2008839807672421,
      0.19987338206458935,
      0.1988727201038615,
      0.19788186379468145,
      0.19690069256588386,
      0.19592909356024082,
      0.19496695975012182,
      0.19401418851984126,
      0.19307068086223914,
      0.1921363403723409,
      0.19121107296244078,
      0.19029478643293546,
      0.18938739004986813,
      0.1884887944453106,
      0.18759891164987905,
      0.18671765477372637,
      0.1858449379582412,
      0.1849806764076824,
      0.18412478636064203,
      0.18327718488689468,
      0.18243778992858606,
      0.18160652035722322,
      0.18078329591910122,
      0.17996803713296805,
      0.17916066539336714,
      0.17836110300103622,
      0.17756927300529762,
      0.17678509921437255,
      0.17600850622091008,
      0.1752394194047507,
      0.17447776490011538,
      0.1737234696036142,
      0.17297646119737753,
      0.17223666817506955,
      0.17150401962884637,
      0.17077844531813433,
      0.17005987585537588,
      0.16934824252543895,
      0.16864347724756507,
      0.16794551271755231,
      0.16725428234886008,
      0.16656972021650973,
      0.16589176102846592,
      0.16522034004838435,
      0.16455539331291213,
      0.16389685745717195,
      0.1632446698095658,
      0.16259876833646075,
      0.16195909160795566,
      0.16132557884220125,
      0.16069816985667856,
      0.1600768049704483,
      0.1594614252136544,
      0.15885195484854325,
      0.15824829050498565,
      0.15765033779345053,
      0.1570580142873206,
      0.15647124641218724,
      0.15588996695421892,
      0.15531411358533873,
      0.15474361765400366,
      0.15417837031855933,
      0.15361823483359985,
      0.15306309153859327,
      0.15251284185883418,
      0.1519673769082545,
      0.15142656294910783,
      0.15089028616742434,
      0.1503584537319799,
      0.14983098823019012,
      0.14930782372829413,
      0.14878890287429697,
      0.14827417468294002,
      0.14776359289829605,
      0.14725711481384077,
      0.14675470046845157,
      0.14625631201822104,
      0.14576191322468593,
      0.14527146915281972,
      0.14478494576546433,
      0.14430230978877856,
      0.1438235286691903,
      0.14334857045701846,
      0.14287740358406897,
      0.14240999696076165,
      0.14194631982047723,
      0.14148634181973252,
      0.14103003286615398,
      0.1405773631828851,
      0.14012830330411832,
      0.13968282384908606,
      0.139240895907181,
      0.13880249075017012,
      0.13836757993982735,
      0.13793613523290324,
      0.137508128639506,
      0.13708353242497795,
      0.1366623190303761,
      0.1362444611649752,
      0.13582993180446915,
      0.13541870406937814,
      0.13501075138367363,
      0.13460604734209786,
      0.13420456576886075,
      0.13380628075160794,
      0.13341116655569615,
      0.13301919207769788,
      0.1326302963115243,
      0.13224441348207944,
      0.13186148925642277,
      0.13148147780510694,
      0.13110433962245058,
      0.1307300400454704,
      0.1303585480715406,
      0.12998983524735258,
      0.12962387533751518,
      0.1292606436643908,
      0.1289001168103154,
      0.12854227217832917,
      0.1281870879440663,
      0.12783454299150038,
      0.1274846166032928,
      0.12713728836903088,
      0.1267925383426847,
      0.12645034683280604,
      0.12611069434009922,
      0.1257735616291853,
      0.12543892963611436,
      0.1251067795481119,
      0.12477709265540135,
      0.12444985039413692,
      0.12412503443443165,
      0.12380262662304002,
      0.12348260886295674,
      0.12316496320327742,
      0.12284967188493301,
      0.12253671729820727,
      0.12222608189610677,
      0.12191774840728122,
      0.12161169955331973,
      0.12130791826903935,
      0.12100638761145333,
      0.12070709077133591,
      0.12041001100225689,
      0.12011513171552499,
      0.11982243649282535
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991634954659226,
      10.789219440823762,
      10.577570751965057,
      10.358852038097268,
      10.135211640246721,
      9.908580231745221,
      9.680681399808305,
      9.453062958632001,
      9.227119334730103,
      9.004081965093118,
      8.78498929355465,
      8.570671268060403,
      8.361741713363756,
      8.15859941760534,
      7.961438587195312,
      7.7702668015563265,
      7.584934320151062,
      7.40516530856284,
      7.23058780190995,
      7.060760750451171,
      6.895199917392963,
      6.733400827532381,
      6.574858423247827,
      6.419083527446675,
      6.2656163765688015,
      6.114037577361734,
      5.96397684715804,
      5.815114505828481,
      5.667180213617318,
      5.519964099345767,
      5.373312346610767,
      5.227137635975603,
      5.081424033132497,
      4.936225902412233,
      4.791656205498527,
      4.647879071159885,
      4.505111034751889,
      4.363619789469317,
      4.223720571519206,
      4.085766074334573,
      3.9501353499788383,
      3.8172232039537644,
      3.687429434674802,
      3.5611446786982723,
      3.438739277803762,
      3.320554013718827,
      3.206892453763864,
      3.0980151191262117,
      2.9941355598391466,
      2.8954183026767977,
      2.801978534188261,
      2.713882988831608,
      2.631140904426352,
      2.5537058833491826,
      2.481487385038635,
      2.414363614288445,
      2.352179400990035,
      2.2947282999027103,
      2.241744678729498,
      2.192890892502525,
      2.1477673975390705,
      2.1059618286876507,
      2.0670601597319,
      2.0306729737185893,
      1.9964109932269625,
      1.9639345231799061,
      1.9329779810284602,
      1.9033341396238281,
      1.8748422369202609,
      1.8473767887930432,
      1.8208283622070716,
      1.7951006593225054,
      1.770118914952303,
      1.74582384279679,
      1.7221669277128067,
      1.6991108702232955,
      1.6766271632173817,
      1.6546896341470818,
      1.6332740800413663,
      1.612358053248501,
      1.5919206496902132,
      1.5719423342101544,
      1.5524047944338848,
      1.5332908187776078,
      1.5145841920729195,
      1.4962696075963282,
      1.4783325898085462,
      1.4607594282131282,
      1.4435373544903218,
      1.426654383510672,
      1.410098985852626,
      1.3938600831822248,
      1.3779273424898422,
      1.3622911576316186,
      1.346942221279104,
      1.3318715106489445,
      1.3170702982369673,
      1.3025299244645363,
      1.2882418818240475,
      1.2741980610619255,
      1.2603907247537456,
      1.2468124828727443,
      1.2334562718127235,
      1.2203153350145195,
      1.2073832048609976,
      1.194653686208758,
      1.1821208620067263,
      1.1697794265574946,
      1.157624632432496,
      1.1456522330973662,
      1.1338580744930968,
      1.1222379804957616,
      1.1107877946438596,
      1.0995034101287944,
      1.0883809591059057,
      1.0774169209009654,
      1.0666078042591558,
      1.0559501226229195,
      1.04544042101984,
      1.035075295598147,
      1.0248514072536479,
      1.0147654910880943,
      1.0048143628733657,
      0.9949949224178606,
      0.9853041555569562,
      0.9757391348575911,
      0.9662970191232441,
      0.9569750522913193,
      0.9477705618533829,
      0.9386809566218324,
      0.9297037248339229,
      0.9208364316490087,
      0.9120767167220369,
      0.9034222916173054,
      0.894870937691662,
      0.8864205032935972,
      0.878068898259782,
      0.8698140598169641,
      0.8616547774296324,
      0.8535907395931366,
      0.8456219138124905,
      0.8377482426960513,
      0.8299691969572517,
      0.8222839234261557,
      0.8146913493265273,
      0.8071902571910444,
      0.7997793377214717,
      0.7924569467403937,
      0.7852210464561081,
      0.7780697234199978,
      0.7710012231439539,
      0.764013915434701,
      0.7571062686747282,
      0.7502768312660518,
      0.7435242178084247,
      0.7368470988667885,
      0.7302441931650006,
      0.7237142617868142,
      0.7172561040716684,
      0.7108685536998014,
      0.7045504764400408,
      0.6983007677275986,
      0.6921183511675125,
      0.6860021769713894,
      0.6799512204575281,
      0.6739644811752374,
      0.6680409818160465,
      0.6621798920145597,
      0.6563807875845714,
      0.6506432040432992,
      0.6449665590415228,
      0.6393501907913783,
      0.6337933854927817,
      0.6282953967171099,
      0.6228555853649346,
      0.6174737235624912,
      0.6121495145137849,
      0.6068825126564347,
      0.6016721723619936,
      0.5965178816644647,
      0.5914189859812394,
      0.5863748050035867,
      0.5813846444669699,
      0.5764478044161429,
      0.571563585036784,
      0.5667312903791959,
      0.5619502309814722,
      0.5572197257582314,
      0.5525391030615012,
      0.5479077016832565,
      0.543324871091983,
      0.5387899715936179,
      0.5343024186192765,
      0.5298621055372534,
      0.5254690927072398,
      0.521123234693933,
      0.5168242453726828,
      0.5125717432853973,
      0.5083652835557015,
      0.5042043794963026,
      0.5000885182299049,
      0.4960171715725217,
      0.49198980318313734,
      0.48800587398939993,
      0.4840648458581435,
      0.48016618382917003,
      0.47630935788860845,
      0.4724938440850509,
      0.4687191251464128,
      0.4649846910587512,
      0.46129003930506207,
      0.45763467496925775,
      0.4540181106306978,
      0.45043986655895707,
      0.4468994704469658,
      0.4433964573950429,
      0.4399303700201581,
      0.43650075797848176,
      0.4331071779693543,
      0.4297491938151308,
      0.42642637593034644,
      0.42313830142573455,
      0.41988455393321195,
      0.4166647234819427,
      0.41347840637516575,
      0.4103252050683462,
      0.40720472807371944,
      0.4041165895612536,
      0.40106040962259626,
      0.3980358139513466,
      0.3950424338060275,
      0.39207990582223884,
      0.3891478718780857,
      0.38624597926759996,
      0.38337388024122376,
      0.380531232057637,
      0.37771769698785873,
      0.3749329419156823,
      0.3721766385769586,
      0.36944846334446163,
      0.36674809714394824,
      0.36407522524637753,
      0.3614295374195691,
      0.35881072770268135,
      0.3562184943372573,
      0.3536525396765405,
      0.3511125702515497,
      0.3485982963835586,
      0.34610943236010405,
      0.3436456964625911,
      0.34120681059149016,
      0.3387925004045861,
      0.3364024952814711,
      0.3340365270210296,
      0.3316942120935169,
      0.3293751191149229,
      0.3270790130431411,
      0.32480574318945976,
      0.3225551314972162,
      0.32032698164054296,
      0.318121085191306,
      0.3159372260173458,
      0.31377518341169053,
      0.31163473416774917,
      0.3095156541683682,
      0.30741771948181834,
      0.3053407072108272,
      0.3032843958941921,
      0.30124856576821735,
      0.29923299925780916,
      0.29723748106305486,
      0.2952617981729182,
      0.2933057399331589,
      0.2913690981307741,
      0.2894516670572153,
      0.2875532433982893,
      0.28567362625559395,
      0.28381261715976025,
      0.2819700199740694,
      0.2801456409552627,
      0.27833928861569196,
      0.27655077381907983,
      0.27477991491640685,
      0.2730265636080828,
      0.271290579340326,
      0.26957181042285394,
      0.26787009798525324,
      0.26618527855322366,
      0.2645171861083986,
      0.26286565334639633,
      0.2612305125585367,
      0.25961159643238024,
      0.2580087384437875,
      0.2564217732238851,
      0.25485053680025826,
      0.25329486649718197,
      0.25175460132171124,
      0.25022957088289405,
      0.24871957737931474,
      0.247224430529273,
      0.2457439525683291,
      0.24427797529637432,
      0.24282633766733533,
      0.24138888402730077,
      0.23996546336317182,
      0.23855592826137575,
      0.23716013427293955,
      0.2357779395420973,
      0.23440920436654744,
      0.23305379122225567,
      0.2317115647307217,
      0.230382392841953,
      0.2290661454071976,
      0.22776269325381393,
      0.2264719081529533,
      0.2251936630687105,
      0.22392783207987466,
      0.22267431543594987,
      0.22143304803634034,
      0.22020395341231702,
      0.2189869417438793,
      0.21778191417851,
      0.21658876580402264,
      0.21540738783381555,
      0.21423766901297125,
      0.21307949670840096,
      0.21193275781460205,
      0.21079733907112602,
      0.20967312770928595,
      0.20856001137460892,
      0.20745787845681757,
      0.2063666182942953,
      0.20528612393781961,
      0.20421629396223892,
      0.20315702661300147,
      0.20210821935871864,
      0.2010697694691899,
      0.20004156836133336,
      0.19902348446520973,
      0.19801538810490873,
      0.1970171590508477,
      0.1960286841125651,
      0.19504985548307796,
      0.19408056947183905,
      0.19312072564728677,
      0.19217022605481604,
      0.191228974914192,
      0.1902968782610072,
      0.18937384360736986,
      0.18845977987447748,
      0.18755459724114326,
      0.18665820706035474,
      0.18577052163956193,
      0.18489145440570415,
      0.18402091971803008,
      0.18315883286191412,
      0.18230511012197984,
      0.18145966859172075,
      0.18062242630343334,
      0.17979330209435931,
      0.17897221569171642,
      0.1781590876351736,
      0.17735383927844528,
      0.17655639289549493,
      0.1757666714588196,
      0.17498459875107253,
      0.17421009939021467,
      0.17344309873018493,
      0.172683522866093,
      0.17193129866701537,
      0.17118635382442215,
      0.17044861661058358,
      0.16971801618627308,
      0.16899448244040957,
      0.16827794588335415,
      0.16756833773310717,
      0.1668655900038901,
      0.16616963536834722,
      0.16548040711143105,
      0.16479783922603117,
      0.16412186642193669,
      0.16345242400401688,
      0.1627894479684825,
      0.16213287496160228,
      0.16148264229807696,
      0.16083868795630163,
      0.16020095044224528,
      0.15956936894785434,
      0.15894388323194394,
      0.15832442996183027,
      0.15771091469865,
      0.15710323401743442,
      0.1565012987487547,
      0.15590503016624688,
      0.15531435708084373,
      0.15472921395641517,
      0.15414953087739605,
      0.15357520019313897,
      0.15300608431948806,
      0.15244205876331013,
      0.15188302133479228,
      0.15132888617843673,
      0.1507795415292052,
      0.15023485769201703,
      0.14969472901108666,
      0.14915906843665785,
      0.14862780269565717,
      0.1481008688894103,
      0.1475782117546066,
      0.14705978176168924,
      0.14654553360398412,
      0.14603542528216953,
      0.14552941718842485,
      0.14502747161972934,
      0.14452955238113216,
      0.14403562436288445,
      0.14354565338248312,
      0.14305960603663476,
      0.14257744953708476,
      0.14209915165674838,
      0.14162468051912425,
      0.14115400472591771,
      0.140687093187474,
      0.14022391522813069,
      0.13976444044467953,
      0.13930863869331034,
      0.13885648007722795,
      0.13840793509440363,
      0.13796297445590097,
      0.13752156908955454,
      0.13708369020155511,
      0.13664930921172921,
      0.1362183978489462,
      0.1357909280310561,
      0.1353668719493086,
      0.13494620195638266,
      0.13452889072223703,
      0.1341149111112431,
      0.13370423614916166,
      0.13329683918134536,
      0.13289269381604277,
      0.1324917737412713,
      0.13209405287924977,
      0.13169947775600338,
      0.13130797779197215,
      0.13091949492629204,
      0.13053398045209894,
      0.13015139271782952,
      0.12977169528136748,
      0.12939485568919573,
      0.12902084441693126,
      0.12864963427297976,
      0.12828119979841662,
      0.12791551690258984,
      0.127552562338451,
      0.12719231373474657,
      0.1268347493196818,
      0.12647984798415565,
      0.12612758888303435,
      0.1257779516228186,
      0.12543091611378077,
      0.12508646245504465,
      0.1247445709858154,
      0.12440522224843624,
      0.12406839698394824,
      0.12373407617304392,
      0.1234022409950923,
      0.1230728727181552,
      0.12274595272896882,
      0.12242146262076872,
      0.12209938414840527,
      0.12177969919024086,
      0.12146238979967545,
      0.12114743811096901,
      0.12083482646164634,
      0.12052453728666015,
      0.12021655317836431,
      0.11991085683885569,
      0.11960743106450797,
      0.11930625882640376,
      0.11900732329409572,
      0.11871060766275417,
      0.11841609527333911,
      0.11812376975855043
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.99161350239493,
      10.789149934184941,
      10.577432463311942,
      10.358629320866742,
      10.134894165955803,
      9.90816189557122,
      9.6801603247844,
      9.452440174744732,
      9.226397293287702,
      9.00326414114656,
      8.784079937252422,
      8.569674708912787,
      8.360662053582274,
      8.157440285285823,
      7.960202680569827,
      7.768955970876015,
      7.583549680101754,
      7.403707344551175,
      7.229056373614616,
      7.059155143584227,
      6.893518969976335,
      6.731643073658381,
      6.573022250835904,
      6.417167340402096,
      6.263618758912584,
      6.111957456628822,
      5.961813653407722,
      5.812868449318349,
      5.664852324670832,
      5.517556249087212,
      5.3708273304368435,
      5.224579368945766,
      5.078797627196977,
      4.933537708488351,
      4.788913715520986,
      4.645091113048418,
      4.502287887820588,
      4.360772735013544,
      4.22086172340651,
      4.082908167977049,
      3.947291499138287,
      3.8144067793679453,
      3.68465368538924,
      3.5584223812041116,
      3.4360824858953984,
      3.3179738361873334,
      3.2043988703161554,
      3.095616840224378,
      2.991839932862175,
      2.8932312640332962,
      2.7999046045324816,
      2.7119249516506474,
      2.629299557837041,
      2.5519802166136962,
      2.4798750942151715,
      2.4128614098559447,
      2.350782147503556,
      2.2934282488438256,
      2.240531962417904,
      2.1917528923748404,
      2.146690826457095,
      2.1049333023638326,
      2.0660673254518476,
      2.029703827209282,
      1.9954542512649798,
      1.9629815546131941,
      1.9320224075874595,
      1.9023712224205618,
      1.8738684123951814,
      1.8463894832367396,
      1.8198256140613573,
      1.7940810316186102,
      1.7690813724604386,
      1.7447677470618599,
      1.7210917813407154,
      1.698015851492533,
      1.6755114951333367,
      1.6535528437523797,
      1.6321159034127277,
      1.6111783833686704,
      1.59071949650755,
      1.5707197934300516,
      1.5511610238564504,
      1.5320260203212603,
      1.5132985984787868,
      1.4949634715301783,
      1.4770061764802342,
      1.4594130100365885,
      1.4421710040674445,
      1.4252680670656688,
      1.4086927383588725,
      1.3924339904787835,
      1.3764815536408825,
      1.36082585491053,
      1.3454575992957245,
      1.3303677717765445,
      1.3155475987209495,
      1.3009883418414978,
      1.2866815234842188,
      1.2726190556657146,
      1.2587932159992186,
      1.245196624741867,
      1.2318222251389286,
      1.2186632642991184,
      1.205713276351836,
      1.1929660887008786,
      1.1804160040779976,
      1.1680578498196938,
      1.155886811127997,
      1.143898590655536,
      1.1320889675047205,
      1.120453714285313,
      1.1089886344290534,
      1.0976896021205016,
      1.0865528492925514,
      1.0755748485637893,
      1.0647520551088985,
      1.0540809406722287,
      1.043558018270104,
      1.0331798588390653,
      1.0229431035603567,
      1.0128444721750252,
      1.0028807681575154,
      0.9930488816597736,
      0.9833457906251206,
      0.9737685612794597,
      0.9643143473740555,
      0.9549803884152461,
      0.945764008333343,
      0.9366626129395753,
      0.9276736880258497,
      0.9187947964012563,
      0.9100235756144481,
      0.9013577356184225,
      0.8927950562441254,
      0.8843333842950271,
      0.8759706266677811,
      0.8677052011085484,
      0.8595366461801854,
      0.8514648187845975,
      0.8434896857336257,
      0.8356107721867004,
      0.8278272514422803,
      0.8201380577041866,
      0.8125419665333847,
      0.8050376520828411,
      0.7976237018327301,
      0.7902982419248794,
      0.7830591928701048,
      0.7759046716253276,
      0.7688329459625053,
      0.7618424016786391,
      0.754931518991747,
      0.7480988549194814,
      0.7413430302829145,
      0.7346627204462247,
      0.7280566474873051,
      0.7215235750337566,
      0.7150623044606256,
      0.7086716710481007,
      0.7023505414695442,
      0.6960978121009319,
      0.6899124072374048,
      0.6837932776761353,
      0.6777393990314886,
      0.6717497713350485,
      0.6658234445410879,
      0.6599598432823934,
      0.6541585563936264,
      0.6484190339396569,
      0.642740632169407,
      0.6371226451647738,
      0.6315643272681846,
      0.6260649759143341,
      0.6206242733342289,
      0.615241961432973,
      0.6099176172210007,
      0.6046507061045867,
      0.5994406192373193,
      0.5942867000730587,
      0.5891882627745532,
      0.5841446050039472,
      0.5791550170197632,
      0.574218787950955,
      0.5693352102623034,
      0.564503582682282,
      0.5597232119609082,
      0.5549934144329506,
      0.5503135168843271,
      0.5456828568547855,
      0.5411007829647114,
      0.5365666550146102,
      0.5320802400217376,
      0.5276416216584813,
      0.5232506912448727,
      0.518907185386468,
      0.5146107354674009,
      0.5103609024220809,
      0.5061572006413395,
      0.5019991149077834,
      0.49788611240309766,
      0.4938176510492873,
      0.4897931849757317,
      0.48581216845517594,
      0.48187405873046846,
      0.47797831766595456,
      0.4741244129939217,
      0.47031181936556254,
      0.4665400186765272,
      0.4628085003055646,
      0.45911676126838397,
      0.4554643064156593,
      0.45185064834594535,
      0.4482753072383053,
      0.44473781088473363,
      0.4412376944652253,
      0.43777450062633333,
      0.4343477790743926,
      0.43095708675291267,
      0.4276019874086989,
      0.42428205156464993,
      0.42099685644132,
      0.4177459858025241,
      0.41452902977631,
      0.41134558467667487,
      0.4081952530550238,
      0.40507764334636137,
      0.40199236992371296,
      0.39893905290003095,
      0.395917318110304,
      0.39292679673960784,
      0.38996712551305995,
      0.38703794637933125,
      0.3841389065533606,
      0.3812696582816698,
      0.37842985889060976,
      0.3756191706089375,
      0.37283726044459276,
      0.37008380009004166,
      0.3673584659072878,
      0.36466093886596174,
      0.36199090420525193,
      0.3593480516077624,
      0.3567320750469771,
      0.35414267279127304,
      0.3515795471831316,
      0.34904240457496244,
      0.34653095542181334,
      0.3440449139967583,
      0.3415839983904851,
      0.3391479306167103,
      0.3367364362388745,
      0.3343492406191362,
      0.3319859514799268,
      0.32964611928960064,
      0.32732944749892423,
      0.32503579106889985,
      0.32276499130847663,
      0.32051686467015184,
      0.31829121086439366,
      0.31608781856480506,
      0.31390646956477547,
      0.3117469415789268,
      0.3096090102216028,
      0.307492450666046,
      0.30539703827761683,
      0.30332254967492844,
      0.3012687631150778,
      0.2992354585484821,
      0.29722241814539113,
      0.29522942636733557,
      0.2932562699651515,
      0.2913027381464183,
      0.2893686226447993,
      0.2874537175016888,
      0.28555781933545266,
      0.28368072709350334,
      0.2818222421145378,
      0.2799821681954905,
      0.2781603114214992,
      0.27635648022963155,
      0.2745704891648335,
      0.2728021859497146,
      0.2710514290758623,
      0.2693180656370314,
      0.2676019351434097,
      0.26590287245021005,
      0.26422070972409867,
      0.2625552777091673,
      0.2609064067684367,
      0.2592739276025744,
      0.25765767167455195,
      0.2560574715833588,
      0.25447316126082076,
      0.2529045762347209,
      0.25135155350061716,
      0.24981391556279609,
      0.2482914617470653,
      0.24678400130032066,
      0.24529135566667506,
      0.2438133554307439,
      0.24234983827304518,
      0.24090064731892888,
      0.23946563005294166,
      0.23804463750214835,
      0.2366375235578861,
      0.23524414471378075,
      0.23386435981153042,
      0.23249802961592753,
      0.23114501812500385,
      0.22980519227578836,
      0.22847842009449992,
      0.22716457054135444,
      0.22586351367508956,
      0.22457512087141718,
      0.22329928142370567,
      0.22203592733074806,
      0.22078498314495396,
      0.21954635895944216,
      0.2183199550335983,
      0.21710566505710296,
      0.21590337839532406,
      0.2147129818081662,
      0.21353436058521255,
      0.21236739930531173,
      0.21121198229970697,
      0.2100679942146981,
      0.20893532034544612,
      0.20781384671684278,
      0.20670346021693864,
      0.20560404877085223,
      0.20451550125039902,
      0.203437708289409,
      0.20237056674350756,
      0.2013139758527917,
      0.2002678222727501,
      0.19923197162395048,
      0.1982062952078473,
      0.1971906729079926,
      0.19618499108997572,
      0.195189141059439,
      0.1942030178945756,
      0.19322651961040932,
      0.19225954658790667,
      0.19130200135495126,
      0.19035378813324047,
      0.1894148126708908,
      0.18848498200384425,
      0.18756420445069436,
      0.18665238943361293,
      0.1857494474429556,
      0.18485529005605747,
      0.183969829743659,
      0.18309297998457755,
      0.1822246552560828,
      0.1813647708753167,
      0.18051324313594566,
      0.1796699891555281,
      0.17883492692882497,
      0.17800797528260873,
      0.17718905392211373,
      0.17637808345507983,
      0.1755749851767999,
      0.1747796812649486,
      0.17399209469731572,
      0.17321214922289213,
      0.1724397693996197,
      0.1716748804943718,
      0.17091740862760202,
      0.1701672806659715,
      0.16942442425781265,
      0.16868876764212126,
      0.1679602399428255,
      0.1672387710210971,
      0.16652429138083974,
      0.16581673229288296,
      0.1651160256099165,
      0.16442210400336763,
      0.16373490078312952,
      0.16305434991692747,
      0.1623803861282018,
      0.16171294466551323,
      0.16105196152601337,
      0.16039737339486476,
      0.15974911752344065,
      0.15910713188957842,
      0.1584713549786203,
      0.1578417259287434,
      0.15721816946221945,
      0.15660057977474395,
      0.15598885895958103,
      0.15538292155305472,
      0.15478269140611423,
      0.1541880990365582,
      0.15359907429008146,
      0.15301551459526236,
      0.152437282653154,
      0.1518642469160096,
      0.15129629978130255,
      0.15073335120660963,
      0.15017532119312885,
      0.14962209732533419,
      0.14907355551153872,
      0.14852959510228106,
      0.14799013265700703,
      0.14745509754226194,
      0.14692442864127805,
      0.14639807190177015,
      0.14587597850249012,
      0.14535810365694118,
      0.14484440556608544,
      0.14433484473880753,
      0.14382938348019464,
      0.14332798540570554,
      0.14283061525937873,
      0.14233723867256032,
      0.14184782197703946,
      0.141362332046132,
      0.14088073631608847,
      0.140403002599228,
      0.13992909918533739,
      0.139458994664367,
      0.138992657966862,
      0.1385300582973484,
      0.1380711652086711,
      0.13761594859499016,
      0.13716437853329927,
      0.1367164254563759,
      0.1362720599389844,
      0.1358312528727196,
      0.13539397535554437,
      0.1349601988622571,
      0.13452989500253057,
      0.13410303559139508,
      0.13367959266315937,
      0.13325953861318532,
      0.13284284595319648,
      0.13242948749309152,
      0.13201943628204826,
      0.13161266546149727,
      0.1312091485193403,
      0.13080884551776115,
      0.13041168728564764,
      0.1300176102818637,
      0.1296265616051182,
      0.1292384964118662,
      0.1288533757848024,
      0.12847116534952788,
      0.12809183401066143,
      0.12771535329206707,
      0.1273416966555092,
      0.12697083905574968,
      0.12660275656484618,
      0.12623742613457553,
      0.12587482544472314,
      0.12551493276066683,
      0.12515772687585958,
      0.12480318690347787,
      0.12445129226682035,
      0.12410202268420775,
      0.12375535815527221,
      0.12341127875076621,
      0.12306976484822513,
      0.12273079699321626,
      0.1223943560032831,
      0.1220604227162892,
      0.12172897826709074,
      0.12140000386908913,
      0.12107348086305594,
      0.12074939080488817,
      0.12042771540125709,
      0.12010843648416415,
      0.119791536024047,
      0.11947699612428325,
      0.11916479901620457,
      0.11885492711828148,
      0.11854736289240035,
      0.11824208901186979,
      0.11793908829512714,
      0.11763834363333335,
      0.11733983813481491,
      0.11704355495188395,
      0.1167494773499641,
      0.11645758885946822
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.99159362325626,
      10.78908306574093,
      10.57729766676451,
      10.358410753977708,
      10.13458133002516,
      9.907748537147867,
      9.679644418629739,
      9.451822546005502,
      9.22568029482355,
      9.00245115850882,
      8.783175140068987,
      8.568682357252326,
      8.359586193071278,
      8.156284502717101,
      7.958969648202673,
      7.767647525464637,
      7.582166929863875,
      7.402250771015087,
      7.2275258374509415,
      7.057549934734128,
      6.891837934826785,
      6.729884758844836,
      6.571185057781429,
      6.4152496869878375,
      6.261619244511939,
      6.109875025445824,
      5.959647754087487,
      5.810619308076962,
      5.66252098867162,
      5.515144609138623,
      5.3683382052575075,
      5.222016699691444,
      5.0761665540326515,
      4.930844611101303,
      4.786166118676568,
      4.642297880049553,
      4.499459334479032,
      4.357920176398718,
      4.217997304352602,
      4.080044652488182,
      3.944442025772871,
      3.811584733716164,
      3.681872324645756,
      3.555694486727236,
      3.4334201121101224,
      3.31538808946423,
      3.201899725657045,
      3.0932130020260793,
      2.9895387414596906,
      2.8910386487777795,
      2.797825078787744,
      2.7099612920787775,
      2.627452556868471,
      2.5502488595414476,
      2.4782570813177665,
      2.4113534632970826,
      2.349379143927721,
      2.2921224548367336,
      2.239313394560113,
      2.1906089325537863,
      2.14560824359852,
      2.103898455035213,
      2.0650679448629283,
      2.028728029705063,
      1.9944908638150596,
      1.9620220286517576,
      1.9310604254501627,
      1.9014020894622992,
      1.8728885962878594,
      1.8453964322303205,
      1.818817380376002,
      1.7930561862603436,
      1.7680388840956927,
      1.7437069781736445,
      1.7200123650675136,
      1.696917112175657,
      1.6743925813963856,
      1.6524132230553978,
      1.630955265322584,
      1.6099965840557207,
      1.5895165162295697,
      1.5694957044160553,
      1.5499159654744719,
      1.5307601794683554,
      1.512012195410203,
      1.493656748997999,
      1.4756793916746855,
      1.4580664279552893,
      1.4408048601129424,
      1.4238823825126241,
      1.4072874880327455,
      1.3910092131696739,
      1.3750373612706586,
      1.3593624007479246,
      1.343975055516938,
      1.3288663228677664,
      1.3140273652124816,
      1.2994493952824193,
      1.2851239663218703,
      1.2710430130313994,
      1.257198828419785,
      1.2435840438047665,
      1.2301916091052651,
      1.2170147757456447,
      1.2040471477070507,
      1.1912827782281974,
      1.1787160166740445,
      1.166341621348648,
      1.154154741315646,
      1.1421510337172325,
      1.1303262279524129,
      1.1186760572511087,
      1.1071962938795283,
      1.095882853139036,
      1.0847320505921576,
      1.0737403009851085,
      1.0629040152907347,
      1.0522196311034688,
      1.0416836343524822,
      1.0312925745446475,
      1.0210430765044234,
      1.010931846889106,
      1.0009556788383596,
      0.9911114539908252,
      0.9813961436892802,
      0.9718068087521515,
      0.9623405981505107,
      0.9529947476896397,
      0.9437665779613882,
      0.9346534920511723,
      0.9256529731255257,
      0.9167625820244708,
      0.9079799546248809,
      0.8993027991469668,
      0.89072889367567,
      0.882256083760912,
      0.8738825202354101,
      0.865607517301689,
      0.8574308082395805,
      0.8493523587186772,
      0.8413717546497537,
      0.8334881993892832,
      0.8257006360320657,
      0.8180078346361742,
      0.8104084534919517,
      0.8029010828294798,
      0.7954841558254302,
      0.7881556140797327,
      0.7809134162223541,
      0.7737557062807155,
      0.7666807716332837,
      0.759687012597497,
      0.7527729198688076,
      0.7459370583908552,
      0.7391780548775326,
      0.7324945883798863,
      0.7258853840842285,
      0.7193492080953882,
      0.7128848633515449,
      0.7064911865655101,
      0.7001670458090206,
      0.6939113380283737,
      0.6877229881186374,
      0.6816009472197432,
      0.6755441915329677,
      0.6695517213543771,
      0.6636227681596824,
      0.6577569050508322,
      0.6519536249744524,
      0.6462123097418693,
      0.6405322663833611,
      0.6349127536815801,
      0.6293530056791589,
      0.6238526106562963,
      0.6184113528087624,
      0.6130288338067321,
      0.6077045318298453,
      0.6024378425996803,
      0.597228108111669,
      0.5920746368961476,
      0.5869767184416819,
      0.581933633253852,
      0.5769446595488041,
      0.5720090779031894,
      0.5671261748697406,
      0.5622952451147353,
      0.5575155924673428,
      0.5527865314401885,
      0.5481073873949338,
      0.5434774969340765,
      0.5388962081153273,
      0.534363132222044,
      0.5298783302554846,
      0.5254417394803397,
      0.5210531253717261,
      0.5167121364880768,
      0.5124183422934693,
      0.5081712604154761,
      0.5039703750057432,
      0.49981514975089103,
      0.4957050371300742,
      0.49163948476585584,
      0.4876179395261652,
      0.4836398507162906,
      0.4797046720671476,
      0.47581186326616487,
      0.4719608905786523,
      0.4681512275562692,
      0.4643823553522463,
      0.46065376297630045,
      0.4569649472629379,
      0.45331541290986144,
      0.4497046724352762,
      0.4461322461314778,
      0.44259766171020504,
      0.4391004544534808,
      0.4356401670832744,
      0.4322163494770321,
      0.42882855856016827,
      0.42547635822368407,
      0.42215931906300397,
      0.4188770184475551,
      0.4156290401840215,
      0.4124149745108776,
      0.40923441776302494,
      0.40608697249540526,
      0.40297224722634134,
      0.3998898563862322,
      0.39683942019177704,
      0.39382056436976437,
      0.3908329201879996,
      0.3878761243614328,
      0.38494981885930807,
      0.38205365096916977,
      0.37918727300811694,
      0.3763503422150198,
      0.37354252079809397,
      0.37076347575734114,
      0.3680128787354598,
      0.365290406126594,
      0.3625957387822053,
      0.35992856194943607,
      0.3572885653146145,
      0.3546754428729824,
      0.3520888927771998,
      0.3495286173929992,
      0.34699432305420724,
      0.34448572012711487,
      0.34200252284996796,
      0.33954444932969396,
      0.3371112214283779,
      0.33470255964434065,
      0.3323180653936168,
      0.3299572849802235,
      0.3276198602413543,
      0.32530562197366286,
      0.3230144341372999,
      0.32074612824409376,
      0.31850051371105087,
      0.31627738529825916,
      0.3140765281450052,
      0.31189772147880757,
      0.3097407410875417,
      0.30760536126353283,
      0.30549135613768796,
      0.30339850040895866,
      0.30132657005747815,
      0.29927534280200474,
      0.29724459830385513,
      0.29523411839771724,
      0.2932436873128401,
      0.2912730916941971,
      0.2893221206022246,
      0.2873905655165469,
      0.2854782203822152,
      0.28358488152062544,
      0.281710347811797,
      0.27985442053859905,
      0.27801690329904294,
      0.2761976021905742,
      0.2743963275633416,
      0.2726129224354027,
      0.2708472447399571,
      0.26909914041235394,
      0.26736844753324157,
      0.26565499936864334,
      0.26395862619246757,
      0.2622791568526701,
      0.2606164197056833,
      0.2589702434567793,
      0.25734045756633644,
      0.25572689263024695,
      0.25412938048213557,
      0.25254775457705614,
      0.25098185003536455,
      0.2494314832129787,
      0.247896450536421,
      0.24637656043398226,
      0.24487163324454855,
      0.24338149832356126,
      0.24190599186780717,
      0.24044495556520423,
      0.23899823532676456,
      0.23756568049052207,
      0.2361471434180362,
      0.23474247904943243,
      0.23335154451712192,
      0.23197419946566955,
      0.2306103073338455,
      0.22925973323942445,
      0.22792234329408978,
      0.22659800459434465,
      0.22528658557079653,
      0.22398796554670905,
      0.2227020686833649,
      0.22142882171699907,
      0.22016813544126151,
      0.21891990986030324,
      0.21768403754260393,
      0.21646040629679503,
      0.2152489010516382,
      0.21404940493537072,
      0.21286180016863865,
      0.2116859688892932,
      0.21052179336483598,
      0.20936915624247152,
      0.2082279411432071,
      0.20709803246928576,
      0.20597931564661395,
      0.20487167715343632,
      0.2037750045777314,
      0.20268918657581336,
      0.20161411292323628,
      0.20054966221929962,
      0.19949570067217165,
      0.1984521017303608,
      0.1974187462218009,
      0.19639552043643246,
      0.19538231501764733,
      0.19437902400957738,
      0.1933855441964423,
      0.192401774426234,
      0.19142761545045037,
      0.19046296974503563,
      0.18950774119703986,
      0.18856183506357044,
      0.18762515774410815,
      0.18669761676059396,
      0.1857791207661538,
      0.18486957939253063,
      0.1839689032785985,
      0.1830770040260094,
      0.18219379422152224,
      0.18131918739882386,
      0.18045309805467913,
      0.17959544152790463,
      0.17874613404680575,
      0.17790509266505072,
      0.1770722353527228,
      0.17624748088681966,
      0.17543074902470976,
      0.17462196028607332,
      0.1738210360174276,
      0.17302789834507756,
      0.1722424701050042,
      0.17146467508054097,
      0.17069443784871852,
      0.16993168368050088,
      0.1691763386339994,
      0.16842832956122478,
      0.16768758401602174,
      0.1669540302913683,
      0.16622759744654236,
      0.1655082152605238,
      0.16479581423901213,
      0.16409032559816394,
      0.16339168125742462,
      0.16269981385361879,
      0.16201465666858245,
      0.1613361436545563,
      0.1606642094234902,
      0.15999878931511868,
      0.1593398193085338,
      0.15868723602507706,
      0.1580409767270846,
      0.15740097936964365,
      0.1567671823305706,
      0.15613949412402645,
      0.15551780585873967,
      0.15490202386285173,
      0.1542920656877313,
      0.1536878571372695,
      0.15308932901776087,
      0.15249638678125438,
      0.15190889424573223,
      0.15132671140425294,
      0.15074972357400576,
      0.1501778353197695,
      0.14961096542764785,
      0.14904903795447608,
      0.14849194124954432,
      0.14793955550699425,
      0.14739178302036743,
      0.1468485425274673,
      0.1463097648102714,
      0.1457753896837534,
      0.14524536365531437,
      0.14471963833523263,
      0.14419816908942254,
      0.14368091410723238,
      0.14316783382357878,
      0.14265889038796617,
      0.1421540472352327,
      0.14165326886486804,
      0.14115652057353018,
      0.14066376831118652,
      0.14017497867996884,
      0.13969011873169437,
      0.1392091560405465,
      0.138732058561556,
      0.13825879450955406,
      0.13778933248062133,
      0.13732364144154335,
      0.13686169064427223,
      0.136403449515836,
      0.1359488877653155,
      0.13549797552982557,
      0.13505068307057705,
      0.13460698090826873,
      0.13416683991496087,
      0.1337302311399066,
      0.13329712583325443,
      0.13286749550240795,
      0.13244131191829972,
      0.13201854710999386,
      0.13159917335374677,
      0.13118316315038703,
      0.1307704892989403,
      0.13036112468494226,
      0.12995503977423364,
      0.12955217564661695,
      0.12915246172321515,
      0.12875583988684217,
      0.12836226119073885,
      0.12797168357759395,
      0.12758407026149085,
      0.12719938823202462,
      0.12681760751734125,
      0.12643870029955762,
      0.12606264049679256,
      0.12568940332641776,
      0.12531896507036214,
      0.12495130276190387,
      0.12458639411070195,
      0.12422421726498742,
      0.12386475078533263,
      0.12350797368380105,
      0.12315386524812322,
      0.12280240501367179,
      0.12245357269147202,
      0.12210734828802469,
      0.12176371195876626,
      0.12142264410399622,
      0.12108412526847911,
      0.12074813613705497,
      0.12041465756881262,
      0.12008367059379783,
      0.11975515640409524,
      0.11942909630081978,
      0.11910547180709093,
      0.11878426452721282,
      0.11846545619710318,
      0.1181490287478349,
      0.11783496422364845,
      0.11752324478956451,
      0.1172138527583497,
      0.11690677065621718,
      0.1166019811113174,
      0.11629946683800009,
      0.11599921069131627,
      0.11570119559479353,
      0.1154054047484825,
      0.1151118214371994,
      0.11482042901727568
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991582303574457,
      10.789031812335118,
      10.577184474079482,
      10.35821874618936,
      10.134299089561436,
      9.907369031127049,
      9.679164942492788,
      9.451243288058004,
      9.225003068355809,
      9.001678864766816,
      8.782311522607012,
      8.56773131176138,
      8.358551463903304,
      8.155169434435386,
      7.957776732973047,
      7.766378473872736,
      7.580822776711695,
      7.400831962165787,
      7.226032222288584,
      7.055980818362155,
      6.890192197164827,
      6.728160993475257,
      6.569381721553473,
      6.413365258518853,
      6.259652384639988,
      6.107824736959075,
      5.957513538089545,
      5.808401437407202,
      5.660220548298185,
      5.512763521197112,
      5.3658793146446255,
      5.219483961276982,
      5.073565108677091,
      4.928180826294242,
      4.7834475029696755,
      4.639533273542017,
      4.496659019281701,
      4.355095421921051,
      4.215160198640622,
      4.077207892596848,
      3.941618675382608,
      3.8087880906996796,
      3.679115553288749,
      3.552990276584979,
      3.430780429510524,
      3.312823958535524,
      3.1994210471066524,
      3.0908284149795118,
      2.987255532165771,
      2.8888627043333273,
      2.7957608829619995,
      2.708011605906214,
      2.6256181720998786,
      2.548528774892233,
      2.4766490244579766,
      2.409854198914376,
      2.3479836065380852,
      2.290822986961832,
      2.238099638116579,
      2.1894680462046217,
      2.1445272715886854,
      2.1028638972497204,
      2.064067751147399,
      2.027750593479467,
      1.993525270444009,
      1.9610599293723563,
      1.9300956522794124,
      1.9004300597071682,
      1.871905859209487,
      1.844400491213824,
      1.8178063297040654,
      1.7920286322927446,
      1.7669938200054556,
      1.7426437834595538,
      1.7189306998011469,
      1.69581631914593,
      1.6732718048227446,
      1.6512719269739862,
      1.6297931357693771,
      1.6088134740525606,
      1.5883124034008758,
      1.5682706577331744,
      1.5486701209617846,
      1.5294937213849615,
      1.5107253412930854,
      1.4923497390818266,
      1.474352480045087,
      1.4567198767056688,
      1.4394389348228132,
      1.4224973058602521,
      1.4058832711326423,
      1.3895858311196783,
      1.373594875807849,
      1.3579009212958049,
      1.3424947195451193,
      1.327367287871083,
      1.3125097059918804,
      1.2979131741970857,
      1.2835692784262398,
      1.26946997695366,
      1.2556075799447861,
      1.241974730427138,
      1.228564400298619,
      1.215370000571571,
      1.2023853022615898,
      1.189604315183435,
      1.1770213261716975,
      1.1646310521051626,
      1.1524286262986239,
      1.1404096759692246,
      1.1285698923213288,
      1.116904978734861,
      1.1054106835661808,
      1.0940830140192057,
      1.0829183134281595,
      1.071912946129188,
      1.0610632835750928,
      1.0503657325994162,
      1.0398167552122564,
      1.029412882748387,
      1.0191507249922176,
      1.009026976879455,
      0.9990384221160519,
      0.9891819346242648,
      0.9794544796375367,
      0.9698531128038254,
      0.960374978805592,
      0.9510173099348554,
      0.941777423634439,
      0.9326527205572117,
      0.923640681540162,
      0.9147388653972515,
      0.9059449059746394,
      0.8972565099626079,
      0.8886714539056989,
      0.8801876655711482,
      0.8718041643226421,
      0.8635206070074192,
      0.8553369053997583,
      0.8472527111366548,
      0.8392672611007694,
      0.8313795091653939,
      0.8235882203611405,
      0.8158920372092848,
      0.808289526983106,
      0.800779215207476,
      0.7933593291595632,
      0.7860277225032377,
      0.7787823923259299,
      0.771621510325593,
      0.7645433838278246,
      0.7575464279060081,
      0.7506291438642388,
      0.7437901043958367,
      0.7370279417766181,
      0.7303413394024674,
      0.7237290258180579,
      0.7171897694228291,
      0.710722374840638,
      0.7043256801354869,
      0.6979985542384132,
      0.6917398949647688,
      0.6855486278025884,
      0.6794237044813456,
      0.6733641015274914,
      0.6673688859969609,
      0.6614375244601992,
      0.6555695621815142,
      0.649764412849818,
      0.6440214008932099,
      0.63833979231269,
      0.6327188161493799,
      0.6271579362274884,
      0.6216569217161472,
      0.6162154093838649,
      0.6108328973385073,
      0.6055087904786215,
      0.6002424329214112,
      0.5950331302570798,
      0.5898801654897007,
      0.5847828100903533,
      0.5797403317769888,
      0.5747519995306167,
      0.5698170880039025,
      0.5649348794557049,
      0.5601046653065525,
      0.5553257473732272,
      0.5505974386365313,
      0.5459190635468981,
      0.5412899581256437,
      0.5367095968429949,
      0.5321779806555793,
      0.5276950982540342,
      0.523260747734097,
      0.5188745973029167,
      0.5145362269503384,
      0.5102451582265772,
      0.5060008752272034,
      0.5018028386366383,
      0.497650495625538,
      0.49354328736626735,
      0.4894806534298748,
      0.48546203524319026,
      0.48148687841547466,
      0.4775546340708244,
      0.4736647600325654,
      0.46981672140616476,
      0.46600999112410707,
      0.46224404979425,
      0.4585183861252116,
      0.45483249678509674,
      0.4511858863568146,
      0.44757806739108547,
      0.44400856012509327,
      0.44047689242720783,
      0.4369825996629643,
      0.4335252246612478,
      0.4301043172467091,
      0.4267194345596489,
      0.42337014045995536,
      0.4200560056682336,
      0.41677660762723934,
      0.413531530160749,
      0.4103203635650188,
      0.4071427042947903,
      0.40399815492987634,
      0.40088632409250186,
      0.39780682618856084,
      0.3947592814046458,
      0.39174331552938846,
      0.3887585598281558,
      0.3858046509449489,
      0.3828812309854577,
      0.3799879471962717,
      0.3771244519011497,
      0.37429040233883604,
      0.37148546060533144,
      0.368709293726865,
      0.3659615734311537,
      0.36324197597344443,
      0.36055018227115454,
      0.35788587745735917,
      0.35524875127743927,
      0.3526384976501853,
      0.35005481479323913,
      0.34749740491991693,
      0.3449659743216243,
      0.3424602332762484,
      0.33997989593582956,
      0.3375246803964403,
      0.33509430367377424,
      0.3326883630122661,
      0.3303063994130385,
      0.32794801669379264,
      0.3256129879554135,
      0.32330119954831593,
      0.3210125001608239,
      0.3187467105393981,
      0.3165036324617299,
      0.3142830550888301,
      0.3120847596096854,
      0.3099085223484227,
      0.3077541170584335,
      0.30562131653890173,
      0.3035098937581005,
      0.3014196226531712,
      0.29935027858395985,
      0.2973016386845303,
      0.2952734822795958,
      0.2932655910359611,
      0.29127774893972963,
      0.2893097422893987,
      0.28736135993440853,
      0.28543239321274083,
      0.2835226359952897,
      0.2816318844293477,
      0.2797599372079431,
      0.27790659555171193,
      0.2760716629160958,
      0.2742549450972176,
      0.2724562800928901,
      0.27067552539921635,
      0.2689125259570249,
      0.2671671185236483,
      0.26543913472245284,
      0.26372840301421596,
      0.26203475034749407,
      0.26035800317703556,
      0.2586979880953207,
      0.25705453258880423,
      0.2554274651838494,
      0.25381661574630326,
      0.2522218156433268,
      0.25064289797161177,
      0.24907967350896262,
      0.24753193583966665,
      0.24599949237219382,
      0.24448216226168235,
      0.24297977343632524,
      0.24149216062164303,
      0.2400191638078487,
      0.23856062723117524,
      0.23711639864884135,
      0.23568632875257636,
      0.23427027073110915,
      0.23286808012015786,
      0.23147961599488276,
      0.2301047404443868,
      0.22874331661790204,
      0.22739520880912933,
      0.2260602824409595,
      0.2247384071684397,
      0.2234294951061439,
      0.222133476200772,
      0.22085026266311283,
      0.21957975460147183,
      0.21832184392504195,
      0.2170764171335551,
      0.21584335738533372,
      0.2146225458006587,
      0.21341386242526436,
      0.21221718687048424,
      0.21103239893782186,
      0.209859378963044,
      0.20869800793227405,
      0.20754816770105808,
      0.20640974126661593,
      0.20528261258524713,
      0.20416666671052663,
      0.20306178984563264,
      0.20196786925897806,
      0.20088477610891448,
      0.19981236617241177,
      0.19875050586209755,
      0.1976990758249567,
      0.19665796436933589,
      0.19562706282906403,
      0.19460626512374932,
      0.19359546731488098,
      0.19259456720771756,
      0.19160346423888835,
      0.19062205928043885,
      0.18965025452525094,
      0.18868795337633185,
      0.18773506048040953,
      0.18679148140934676,
      0.18585712290420606,
      0.18493189276682548,
      0.18401569972954587,
      0.18310845358238093,
      0.18221006497291475,
      0.18132044551410925,
      0.18043950784446763,
      0.17956716547544946,
      0.17870333276869715,
      0.1778479250943751,
      0.17700085873826335,
      0.17616205078658917,
      0.17533141911522332,
      0.1745088824959439,
      0.17369436060377905,
      0.17288777388776488,
      0.17208904366023486,
      0.17129809201105828,
      0.1705148419153637,
      0.16973921694966884,
      0.16897114162098562,
      0.16821054126614668,
      0.16745734189062686,
      0.1667114702513717,
      0.16597285398023823,
      0.16524142139866563,
      0.16451710155750612,
      0.16379982422212025,
      0.16308951981520653,
      0.16238611947643442,
      0.16168955511841557,
      0.16099975935146166,
      0.16031666542365192,
      0.159640207341156,
      0.1589703196859654,
      0.15830693776632881,
      0.15764999758517872,
      0.1569994356965693,
      0.15635518929940803,
      0.15571718910463683,
      0.1550853321010348,
      0.15445951360796084,
      0.15383964285134427,
      0.1532256393114438,
      0.15261743004577513,
      0.15201492769030683,
      0.15141800526802085,
      0.15082651733350294,
      0.1502403395471268,
      0.14965936912278677,
      0.1490835192837321,
      0.14851271501425267,
      0.14794688420319116,
      0.14738591708035703,
      0.14682969590149034,
      0.14627812437705257,
      0.145731122124463,
      0.14518862050675446,
      0.14465055965526513,
      0.1441168862259604,
      0.14358755188028646,
      0.14306251189365202,
      0.14254172424186728,
      0.142025149162661,
      0.1415127484772824,
      0.14100448526198367,
      0.14050032367054663,
      0.1400002287415912,
      0.1395041661648624,
      0.13901210222172644,
      0.13852400361327416,
      0.1380398374108659,
      0.13755957124969417,
      0.13708317304747583,
      0.13661061108040548,
      0.1361418539139727,
      0.1356768704113096,
      0.13521562970431356,
      0.1347581012103341,
      0.13430425468177826,
      0.1338540600023437,
      0.13340748739732416,
      0.13296450740978852,
      0.13252509077604482,
      0.13208920848638328,
      0.13165683172580173,
      0.1312279320190714,
      0.13080248105246486,
      0.13038045075714919,
      0.1299618133041679,
      0.12954654110681646,
      0.1291346068810473,
      0.12872597002309957,
      0.12832055975612086,
      0.1279183109033235,
      0.12751916915863148,
      0.12712308833343464,
      0.12673002849363305,
      0.12633995420334004,
      0.12595283349869107,
      0.12556863707199778,
      0.1251873376380758,
      0.12480890939105821,
      0.1244333276703554,
      0.12406056884102654,
      0.12369060982822372,
      0.12332342820079864,
      0.12295900211106071,
      0.12259731000140042,
      0.12223833073190922,
      0.12188204334691552,
      0.12152842721760182,
      0.12117746182953094,
      0.12082912692055976,
      0.1204834026068814,
      0.12014026903344463,
      0.11979970646342432,
      0.1194616954508489,
      0.11912621664522326,
      0.11879325080016676,
      0.11846277888428049,
      0.11813478202730034,
      0.11780924147958986,
      0.11748613872482801,
      0.11716545531357167,
      0.11684717298347831,
      0.11653127355106808,
      0.11621773900105815,
      0.11590655152534625,
      0.11559769338469747,
      0.11529114703802551,
      0.11498689497953207,
      0.1146849198814577,
      0.11438520458480356,
      0.1140877319889606,
      0.11379248511955024,
      0.11349944717128257,
      0.11320860155804324
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991570873520747,
      10.788980198957443,
      10.577070627201271,
      10.358025758847079,
      10.134015525261637,
      9.906987839457594,
      9.678683389450828,
      9.450661532733312,
      9.224322902158464,
      9.000903137814907,
      8.781443933863974,
      8.566775748534484,
      8.357511664809042,
      8.15404874051088,
      7.956577638786695,
      7.765102695609672,
      7.579471391496093,
      7.39940545068125,
      7.2245304283172045,
      7.054403041490438,
      6.888537311736947,
      6.726427586556973,
      6.567568246004126,
      6.411470190121305,
      6.257674382882104,
      6.105762806104461,
      5.955367184830041,
      5.806170938182724,
      5.657906994144436,
      5.510368846461997,
      5.363406383457315,
      5.216936753457065,
      5.07094879550795,
      4.925501812065005,
      4.780713340393468,
      4.636752853136356,
      4.493842677684166,
      4.352254484858847,
      4.212306811556601,
      4.074354808779171,
      3.938779012997535,
      3.8059751945107836,
      3.6763426284858793,
      3.5502700494650514,
      3.428124898639232,
      3.310244175038763,
      3.1969269341701887,
      3.088428630127383,
      2.9849573760555366,
      2.8866720744445953,
      2.7936822704965834,
      2.706047775987991,
      2.623769917516993,
      2.5467950934958807,
      2.4750276456267426,
      2.408341894381642,
      2.346575317630214,
      2.2895110613907534,
      2.236873699403217,
      2.188315241307494,
      2.143434656233423,
      2.101817927517625,
      2.063056356307233,
      2.026762203721271,
      1.9925490054748483,
      1.9600874640796124,
      1.9291208351628581,
      1.8994483274597782,
      1.8709137713062935,
      1.8433955145845564,
      1.816786526660237,
      1.7909926292880132,
      1.7659406196760847,
      1.7415727630763291,
      1.7178415156109401,
      1.6947083093003679,
      1.6721441081071602,
      1.6501240015608531,
      1.6286246616655524,
      1.6076242978393471,
      1.5871024959589453,
      1.5670400820594044,
      1.5474190068601485,
      1.528222246953138,
      1.5094337182682043,
      1.4910382018484454,
      1.473021277595165,
      1.4553692663284084,
      1.4380691775210186,
      1.421108662572845,
      1.4044759733092351,
      1.3881599418906303,
      1.3721503822486756,
      1.3564378565875737,
      1.3410131615425138,
      1.3258673057638788,
      1.3109913112556786,
      1.296376416660691,
      1.282014242893873,
      1.2678967739942975,
      1.2540163465069094,
      1.2403657293556687,
      1.2269380732544903,
      1.213726810536481,
      1.2007256411051803,
      1.1879285187465516,
      1.1753296950253431,
      1.1629238655486347,
      1.1507061643543102,
      1.1386722012356834,
      1.1268176387628326,
      1.1151381576547383,
      1.1036295062569017,
      1.0922877930507209,
      1.0811093551444684,
      1.0700905116660933,
      1.059227599522536,
      1.0485169984213132,
      1.0379551490599028,
      1.027538565825946,
      1.017263845445674,
      1.007127672093999,
      0.997126820900025,
      0.9872581591801879,
      0.9775186463051034,
      0.9679053332542168,
      0.958415360925436,
      0.9490459581973504,
      0.9397944398227488,
      0.9306582036705439,
      0.9216347285104179,
      0.9127215711921404,
      0.9039163639526221,
      0.8952168117166488,
      0.8866206898162097,
      0.8781266537399027,
      0.8697342717123591,
      0.8614433632248426,
      0.8532536540633155,
      0.8451644194387632,
      0.8371746272509154,
      0.829283039369313,
      0.8214882836076806,
      0.8137889046042465,
      0.8061833998425453,
      0.7986702253452082,
      0.7912474030691318,
      0.7839127538836713,
      0.7766643133537648,
      0.769500281018929,
      0.7624189848778731,
      0.7554188546178168,
      0.7484984025664629,
      0.741656209122304,
      0.7348909123824964,
      0.7282011999905249,
      0.7215858035479159,
      0.715043493853192,
      0.708573077395335,
      0.7021733933367506,
      0.6958433115696654,
      0.6895817308801304,
      0.6833875772467138,
      0.6772598028860505,
      0.6711973847753079,
      0.6651996051775755,
      0.6592660326052328,
      0.6533961202754789,
      0.6475892157560358,
      0.6418445962977983,
      0.6361614940505202,
      0.6305392414229422,
      0.6249775883151105,
      0.6194762099424066,
      0.6140346264921974,
      0.6086522539692245,
      0.6033284395150285,
      0.5980624858643298,
      0.5928536697476156,
      0.5877012537644609,
      0.5826044950993505,
      0.5775626515941877,
      0.5725749852490783,
      0.5676407656078226,
      0.5627592713624028,
      0.5579297916851421,
      0.5531516270154216,
      0.5484240891534495,
      0.5437465018343,
      0.5391182448402307,
      0.5345391910074034,
      0.5300093886333022,
      0.5255286735657076,
      0.5210967366141515,
      0.5167131706583458,
      0.5123775032604335,
      0.5080892190868924,
      0.5038477762601828,
      0.4996526174325409,
      0.4955031774023013,
      0.4913988883921464,
      0.48733918400148907,
      0.4833235014909822,
      0.4793512836300029,
      0.475421979630741,
      0.4715350459882718,
      0.46768994692475324,
      0.4638861547469405,
      0.4601231498384546,
      0.4564004206705138,
      0.45271746375587046,
      0.4490737836991655,
      0.4454688930403289,
      0.4419023120439266,
      0.4383735686636195,
      0.4348821983774466,
      0.4314277439963571,
      0.4280097555729602,
      0.4246277902081,
      0.42128141188208046,
      0.41797019133681856,
      0.414693706034361,
      0.4114515399380728,
      0.40824328332038573,
      0.4050685326984072,
      0.40192689066912574,
      0.39881796582252393,
      0.39574137268184356,
      0.3926967315698337,
      0.38968366819756894,
      0.386701813789139,
      0.38375080510686294,
      0.3808302842510686,
      0.3779398983608666,
      0.375079299597516,
      0.3722481452323078,
      0.36944609753462926,
      0.36667282348582664,
      0.3639279946744849,
      0.36121128737294544,
      0.3585223823632473,
      0.35586096489453456,
      0.3532267245422693,
      0.3506193553260345,
      0.3480385551704328,
      0.34548402631035136,
      0.3429554750398697,
      0.34045261164363416,
      0.3379751502307904,
      0.3355228057374631,
      0.33309517326571675,
      0.33069178726965964,
      0.32831224605646486,
      0.3259562470128811,
      0.3236236644627768,
      0.3213143693826035,
      0.31902819724437464,
      0.31676495937663934,
      0.31452445075597535,
      0.31230645570848403,
      0.310110751796877,
      0.3079371128616448,
      0.3057853109603651,
      0.30365511750546537,
      0.3015463044313351,
      0.299458644962994,
      0.2973919138872271,
      0.29534588801511585,
      0.2933203463406485,
      0.29131507016400987,
      0.28932984309107707,
      0.2873644513796077,
      0.285418683794402,
      0.28349233137772273,
      0.28158518773262764,
      0.27969704904378634,
      0.27782771388758787,
      0.27597698317378083,
      0.27414466026993783,
      0.27233057663244087,
      0.2705345870707297,
      0.268756535954325,
      0.26699625900311963,
      0.26525358636123586,
      0.26352834493340527,
      0.2618203597775027,
      0.26012945542308513,
      0.2584554564340573,
      0.2567981882482421,
      0.2551574774192736,
      0.25353315166873786,
      0.25192504037237023,
      0.25033297455361264,
      0.24875676008101708,
      0.24719618781462918,
      0.24565106386336902,
      0.2441212058761196,
      0.24260644028025655,
      0.24110660011069698,
      0.23962152370115886,
      0.23815105363500447,
      0.2366950359641515,
      0.23525331970656396,
      0.23382575635269093,
      0.23241220011672767,
      0.23101250936754436,
      0.22962654430716056,
      0.2282541661052916,
      0.22689523723120028,
      0.2255496213562683,
      0.2242172142677853,
      0.22289794511330882,
      0.22159172877894062,
      0.22029846643679746,
      0.21901804993836194,
      0.21775036488581564,
      0.21649529294038816,
      0.21525271324940393,
      0.21402250364581185,
      0.21280454162545875,
      0.21159870453273216,
      0.21040487016440243,
      0.20922291703029072,
      0.20805272439942732,
      0.20689417261478685,
      0.20574714301677696,
      0.20461151814932715,
      0.20348718160039314,
      0.2023740182274101,
      0.2012718969484883,
      0.20018067050993688,
      0.19910020135358478,
      0.19803036142281627,
      0.19697102952662282,
      0.1959220933971617,
      0.19488344862747062,
      0.19385499233189116,
      0.19283662246117766,
      0.19182823802241544,
      0.19082973888271282,
      0.18984102593133395,
      0.18886200114331733,
      0.18789256739216384,
      0.18693262860885895,
      0.18598208968956356,
      0.1850408564957151,
      0.1841088358952291,
      0.18318593578156306,
      0.18227206493051398,
      0.18136713308912716,
      0.18047105104205904,
      0.17958373040168868,
      0.1787050837443201,
      0.17783502453305255,
      0.17697346719653484,
      0.17612032708355532,
      0.1752755202807916,
      0.17443896386538488,
      0.17361057574110889,
      0.17279027464269175,
      0.1719779802191297,
      0.17117361298024697,
      0.17037709410619695,
      0.16958834557709376,
      0.16880729035637748,
      0.16803385218294542,
      0.16726795544252293,
      0.16650952543550118,
      0.16575848812603494,
      0.16501477021822025,
      0.16427829937442381,
      0.16354900385177884,
      0.1628268126496545,
      0.16211165550696785,
      0.16140346281933385,
      0.1607021657620015,
      0.16000769623751462,
      0.15931998678743586,
      0.15863897067842334,
      0.1579645818378211,
      0.15729675493167977,
      0.15663542527358876,
      0.15598052879941476,
      0.15533200200586686,
      0.15468976545361843,
      0.15405370933267437,
      0.15342373254528344,
      0.15279974676887947,
      0.15218167297312502,
      0.15156943120843788,
      0.15096290598524412,
      0.15036195000733216,
      0.14976642698619586,
      0.14917622525488805,
      0.14859125119640798,
      0.1480114244982636,
      0.14743667481959813,
      0.14686693439617282,
      0.14630209693526033,
      0.1457420450609607,
      0.14518668272839028,
      0.1446359294854841,
      0.14408971669964019,
      0.1435479843259226,
      0.14301067873894227,
      0.14247775124463316,
      0.14194915680799697,
      0.14142485321484896,
      0.14090480033347363,
      0.14038895956858488,
      0.1398772937283335,
      0.13936976663577638,
      0.1388663428396464,
      0.13836698765860936,
      0.13787166703113035,
      0.13738034731052984,
      0.1368929952970077,
      0.13640957822024377,
      0.1359300636661903,
      0.1354544195629238,
      0.13498261411646567,
      0.1345146158175097,
      0.13405039343685574,
      0.13358991605321707,
      0.1331331531270625,
      0.13268007425113287,
      0.13223064929605866,
      0.1317848484423973,
      0.13134264210558697,
      0.1309040009253711,
      0.1304688958198475,
      0.1300372979639269,
      0.12960917872438216,
      0.12918450977998,
      0.12876326298840815,
      0.12834541043184855,
      0.1279309244507062,
      0.12751974894519252,
      0.12711180983984513,
      0.1267070462209125,
      0.12630540686164865,
      0.12590684786267747,
      0.12551133084227245,
      0.12511882148524334,
      0.12472928864175338,
      0.12434270355922925,
      0.12395903916178176,
      0.12357826983217601,
      0.12320037104675334,
      0.12282531905911438,
      0.12245309078400272,
      0.12208366382366416,
      0.12171701605773169,
      0.1213531258323444,
      0.12099197174387062,
      0.1206335326588301,
      0.12027778773497319,
      0.11992471638606796,
      0.11957429816509185,
      0.11922651283218931,
      0.11888134029659393,
      0.11853876066673423,
      0.11819875426330233,
      0.11786130151844865,
      0.11752638304714685,
      0.11719397965570641,
      0.11686407224913353,
      0.11653664187880064,
      0.116211669759009,
      0.11588913729023952,
      0.11556902593070188,
      0.1152513173478675,
      0.1149359933798935,
      0.11462303595325996,
      0.11431242714701562,
      0.11400414920029443,
      0.11369818447600931,
      0.11339451542487398,
      0.11309312467075491,
      0.11279399506469147,
      0.11249710944734571,
      0.11220245081837277,
      0.11191000230285555,
      0.11161974728372734
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991559434311762,
      10.788928524651649,
      10.576956609053385,
      10.357832444563554,
      10.133731443920684,
      9.906605911219831,
      9.678200843322642,
      9.450078492061579,
      9.22364112726384,
      9.000125404739677,
      8.780573878837417,
      8.565817246342352,
      8.356468445384813,
      8.152924115091215,
      7.955374084077773,
      7.763821938401365,
      7.578114518411134,
      7.397972948220151,
      7.2230221457094705,
      7.052818282904907,
      6.886874955800436,
      6.72468622600653,
      6.5657463387998,
      6.40956621717449,
      6.255687009579289,
      6.103691044518281,
      5.953210551891463,
      5.803929718738854,
      5.655582289221487,
      5.507962605173022,
      5.360921489573779,
      5.214377211629392,
      5.068319806938862,
      4.922809815281431,
      4.777965930010451,
      4.633958965482613,
      4.491012698572028,
      4.349399790706067,
      4.209439598639917,
      4.071487881299927,
      3.935925537778016,
      3.803148553623161,
      3.67355605728173,
      3.5475363007851977,
      3.425455993930725,
      3.307651184615239,
      3.194419795480062,
      3.0860160107010106,
      2.9826465828045867,
      2.884469008470678,
      2.791591423448906,
      2.7040719115839957,
      2.621909666436748,
      2.5450493172996516,
      2.4733941053304953,
      2.406817397629451,
      2.3451548418512793,
      2.2881869905710235,
      2.2356356945619185,
      2.1871504652857534,
      2.142330207528704,
      2.1007603066164653,
      2.0620335296440704,
      2.0257626391236765,
      1.9915618594699531,
      1.9591044373857687,
      1.9281357928407705,
      1.898456716547569,
      1.869912156621059,
      1.8423813447547481,
      1.8157578525154217,
      1.789948112086457,
      1.7648792777287963,
      1.7404939568362754,
      1.7167448868484467,
      1.6935932960673723,
      1.671009905106063,
      1.6489700119202333,
      1.627450521718884,
      1.6064298193129731,
      1.5858876214875972,
      1.5658048515972853,
      1.5461635315177746,
      1.5269466888608045,
      1.5081382757178217,
      1.4897230977374978,
      1.4716867508700269,
      1.4540155658159124,
      1.436696556517538,
      1.4197173757632493,
      1.4030662735181956,
      1.3867320921228679,
      1.3707045974713394,
      1.3549742217886094,
      1.3395316975722975,
      1.324367967558945,
      1.3094740120069615,
      1.2948411570592215,
      1.280461134050653,
      1.2663260516524035,
      1.252428370326632,
      1.2387608807670232,
      1.2253166838197806,
      1.2120891723690792,
      1.1990720147979947,
      1.1862591402375606,
      1.173644789947214,
      1.1612236547530645,
      1.1489908830446913,
      1.1369420781742112,
      1.1250728821715352,
      1.113378958868084,
      1.101856104766459,
      1.0905005138189694,
      1.0793084747258612,
      1.0682762692377616,
      1.0574002048174311,
      1.046676638308328,
      1.036101992319655,
      1.0256727668400396,
      1.0153855470054414,
      1.0052370079436799,
      0.9952239175580656,
      0.9853431369906198,
      0.9755916205336366,
      0.9659664150263682,
      0.9564646577537411,
      0.9470835746574624,
      0.9378204778702504,
      0.9286727629042713,
      0.9196379063310233,
      0.9107134631613951,
      0.9018970639974777,
      0.8931864123310441,
      0.8845797831086221,
      0.8760765265640653,
      0.8676764004454525,
      0.8593791881413118,
      0.8511842111836889,
      0.8430904566378693,
      0.8350966864890768,
      0.8272015156852456,
      0.8194034669085225,
      0.8117010098437649,
      0.8040925885063098,
      0.796576530048511,
      0.7891506928231625,
      0.7818129438153643,
      0.7745613514732831,
      0.7673941395526561,
      0.760309653278871,
      0.7533063351529485,
      0.746382706688588,
      0.7395373549753632,
      0.7327689230509721,
      0.7260761024138386,
      0.7194576271806418,
      0.7129122702127244,
      0.7064388394787516,
      0.7000361753633011,
      0.693703148742931,
      0.6874386588391342,
      0.6812416321456976,
      0.675111021110607,
      0.6690459044024321,
      0.6630457821930434,
      0.6571101592235581,
      0.6512384144766755,
      0.6454298418540029,
      0.6396836800499763,
      0.6339991923972139,
      0.6283760248887931,
      0.6228139013173211,
      0.6173123705583707,
      0.6118708635879297,
      0.6064887331578029,
      0.6011652816098779,
      0.595899780275078,
      0.590691483775214,
      0.5855396390957249,
      0.5804434924378744,
      0.5754022937972816,
      0.5704153000241299,
      0.5654817768608357,
      0.5606010004496197,
      0.5557722582410712,
      0.550994849360333,
      0.5462680847648707,
      0.5415912876552961,
      0.5369641766392897,
      0.5323868194737602,
      0.5278590976703511,
      0.5233807308567979,
      0.5189513284789197,
      0.5145704264319556,
      0.5102375122255827,
      0.5059520426346641,
      0.5017134562867462,
      0.49752118222080105,
      0.4933746456690173,
      0.48927327235416784,
      0.4852164912676791,
      0.4812037364478784,
      0.47723444850396235,
      0.4733080752815606,
      0.469424072360269,
      0.4655819032338462,
      0.4617810398109299,
      0.45802096222151895,
      0.45430115879528743,
      0.4506211260849775,
      0.44698036873288033,
      0.44337839928309203,
      0.4398147380413504,
      0.43628891293212485,
      0.4328004596340838,
      0.4293489208999182,
      0.42593384689282277,
      0.4225547948604526,
      0.4192113287585635,
      0.41590301945873537,
      0.4126294445244724,
      0.40939018783559494,
      0.4061848396961199,
      0.40301299663841955,
      0.3998742613303902,
      0.396768242382769,
      0.3936945543107099,
      0.39065281729418166,
      0.38764265711833823,
      0.38466370506554304,
      0.38171559778434017,
      0.37879797736495807,
      0.3759104910108975,
      0.37305279101893096,
      0.37022453455848847,
      0.36742538375967876,
      0.36465500549947,
      0.36191307144582546,
      0.3591992578513714,
      0.35651324547837976,
      0.35385471947605074,
      0.3512233694146967,
      0.3486188890696469,
      0.3460409765400858,
      0.3434893339650023,
      0.3409636675489304,
      0.3384636874645846,
      0.3359891077473646,
      0.3335395236321219,
      0.33111446197720035,
      0.3287135145754228,
      0.3263363314726785,
      0.32398273325480276,
      0.3216526166448323,
      0.31934583418794626,
      0.3170622082341904,
      0.3148015407221448,
      0.3125636199289891,
      0.31034822536952994,
      0.30815513138369455,
      0.3059841092349076,
      0.3038349291527598,
      0.3017073612329226,
      0.2996011764830133,
      0.29751614729364045,
      0.2954520478952863,
      0.29340865461335036,
      0.29138574602333767,
      0.2893831032109252,
      0.28740050966696734,
      0.2854377513774894,
      0.28349461679054755,
      0.2815708968765373,
      0.2796663850914638,
      0.2777808774341808,
      0.2759141723813213,
      0.2740660707508677,
      0.27223639655592835,
      0.2704250020646802,
      0.26863173126374584,
      0.2668564188775053,
      0.2650988937200264,
      0.2633589809781325,
      0.26163650394290877,
      0.2599312851839641,
      0.2582431473356678,
      0.25657191379139255,
      0.2549174090414404,
      0.253279458821089,
      0.25165789032387703,
      0.25005253185812065,
      0.24846318520803712,
      0.24688963926579693,
      0.24533169853898207,
      0.24378917899244884,
      0.242261905218365,
      0.2407497086157732,
      0.23925242563178734,
      0.23776989698633627,
      0.23630196691094563,
      0.23484848267848543,
      0.2334092941168797,
      0.2319842546567067,
      0.23057322128458488,
      0.22917605221757933,
      0.22779260679435093,
      0.22642274562307654,
      0.2250663444904439,
      0.2237233279356793,
      0.22239361487838655,
      0.22107710834879338,
      0.2197737006284099,
      0.21848327678328644,
      0.21720571722683332,
      0.21594089944962486,
      0.21468869927842182,
      0.21344899182222793,
      0.21222165207082427,
      0.211006555275064,
      0.20980357726336668,
      0.20861259473390384,
      0.20743348540851866,
      0.20626612804980463,
      0.20511040262079275,
      0.20396619015535666,
      0.20283337297521897,
      0.20171181955969356,
      0.20060137992349975,
      0.19950191276087256,
      0.19841328661200275,
      0.19733537730444448,
      0.1962680661973691,
      0.19521123905709722,
      0.19416478599079776,
      0.19312860487029768,
      0.1921025962985373,
      0.1910866607366685,
      0.1900806988224958,
      0.18908461175219746,
      0.18809830128183377,
      0.18712166987022183,
      0.1861546208747115,
      0.18519705855894125,
      0.18424888798878553,
      0.18331001514714673,
      0.1823803469752814,
      0.18145979144254676,
      0.18054825735228722,
      0.17964565443047048,
      0.17875189341715902,
      0.1778668859322757,
      0.17699054449700666,
      0.17612278255812633,
      0.17526351451524652,
      0.1744126555859367,
      0.17357012194079022,
      0.17273583058696665,
      0.17190969939472012,
      0.17109164712664499,
      0.17028159330466158,
      0.16947945835918068,
      0.16868516352705626,
      0.16789863089226748,
      0.16711978330216257,
      0.16634854436248767,
      0.1655848384733404,
      0.1648285908549798,
      0.16407972748097355,
      0.16333817512857618,
      0.1626038613172855,
      0.16187671431358708,
      0.16115666306811485,
      0.16044363728899744,
      0.15973756743501794,
      0.15903838464769382,
      0.15834602079388024,
      0.1576604084283657,
      0.15698148083492747,
      0.15630917194917116,
      0.155643416321942,
      0.1549841492119874,
      0.15433130654740307,
      0.1536847970092721,
      0.15304450813561837,
      0.15241034160575348,
      0.15178221094270028,
      0.15116003839375552,
      0.15054372383042566,
      0.14993312359865488,
      0.1493280887142087,
      0.14872849634966762,
      0.14813424450848464,
      0.14754524655406492,
      0.1469614272163372,
      0.1463827197491707,
      0.14580906132765906,
      0.14524035092882734,
      0.14467647005132495,
      0.14411732164696567,
      0.14356282454978558,
      0.14301290938814093,
      0.14246751542000516,
      0.14192658858498028,
      0.14139007973419132,
      0.1408579432992487,
      0.14033013654105272,
      0.139806618885613,
      0.1392873514208177,
      0.13877229652060408,
      0.13826141760740795,
      0.13775467883590298,
      0.13725204507856756,
      0.13675348186282835,
      0.1362589552281965,
      0.1357684316360735,
      0.13528187794477928,
      0.13479926132870887,
      0.13432054935135243,
      0.1338457098934902,
      0.13337471110154292,
      0.13290752145142323,
      0.1324441097244363,
      0.13198444492090067,
      0.13152849640978753,
      0.13107623365973226,
      0.13062762649229706,
      0.13018264505640154,
      0.12974125962595684,
      0.12930344083683282,
      0.1288691595116687,
      0.12843838668250382,
      0.1280110936970583,
      0.12758725205870264,
      0.12716683364888068,
      0.1267498037027876,
      0.12633609516580527,
      0.12592563795248252,
      0.12551837402682942,
      0.12511425430937914,
      0.12471323646599948,
      0.1243152830977555,
      0.12392036061791986,
      0.12352843836647713,
      0.12313948788205953,
      0.12275348228420183,
      0.12237039598616978,
      0.12199020439351407,
      0.12161288377207882,
      0.12123841093451766,
      0.1208667632027571,
      0.12049791834042144,
      0.1201318544041418,
      0.11976854987610819,
      0.11940798351174399,
      0.1190501342204588,
      0.11869498117576924,
      0.11834250374202074,
      0.11799268143362901,
      0.11764549398933656,
      0.11730092133291535,
      0.11695894353434988,
      0.11661954078454506,
      0.11628269349751309,
      0.11594838222898958,
      0.11561658774194297,
      0.11528729089460152,
      0.11496047273252963,
      0.11463611443501087,
      0.11431419728109526,
      0.11399470270495994,
      0.11367761233279294,
      0.11336290788051898,
      0.11305057128086328,
      0.11274058453116653,
      0.11243292986612459,
      0.11212758956867962,
      0.11182454602910714,
      0.11152378186185481,
      0.1112252797624207,
      0.11092902257444896,
      0.11063499337005919,
      0.11034317520023751,
      0.11005355129061786
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991547986964758,
      10.788876797046665,
      10.576842439717813,
      10.357638836044908,
      10.133446891528443,
      9.906223306840417,
      9.677717375674355,
      9.44949424430739,
      9.222957827947738,
      8.999345803159581,
      8.77970158151975,
      8.564856103678691,
      8.355422168004,
      8.151795933083399,
      7.9541664153199,
      7.7625365206189265,
      7.576752448295361,
      7.396534718976197,
      7.221507613680285,
      7.051226758758002,
      6.885205324500017,
      6.7229370853015755,
      6.563916151170741,
      6.407653469356027,
      6.253690374735949,
      6.101609543381554,
      5.9510437117039405,
      5.8016778133705165,
      5.653246430898032,
      5.505544758392006,
      5.35842455867429,
      5.211805226336243,
      5.06567799924086,
      4.920104659211604,
      4.775205060990046,
      4.631151365729628,
      4.488168801910082,
      4.346531023540173,
      4.206558207501937,
      4.068606719491888,
      3.933057819272423,
      3.8003076971193637,
      3.6707553287439687,
      3.5447884800590326,
      3.4227731252934666,
      3.305044357496915,
      3.191898962501974,
      3.0835898511627375,
      2.9803224122022827,
      2.8822527337309007,
      2.7894875410497106,
      2.7020831875622724,
      2.620036562635638,
      2.5432905504514616,
      2.471747474750652,
      2.4052797536112736,
      2.3437212027830236,
      2.286849630488599,
      2.2343842798959628,
      2.1859720237249416,
      2.141211948298838,
      2.099688839003404,
      2.060996890519841,
      2.0247493675180683,
      1.9905612049268897,
      1.9581081690361504,
      1.9271378246687567,
      1.8974525291518778,
      1.8688983375353956,
      1.8413553278941621,
      1.8147176814278936,
      1.7888924785553915,
      1.7638072198724477,
      1.739404826230706,
      1.715638316023554,
      1.692468877080833,
      1.6698668606362073,
      1.647807685735314,
      1.6262685020991947,
      1.6052278793634422,
      1.5846656727632167,
      1.5645629080532253,
      1.5449016825039708,
      1.5256650785938464,
      1.5068370874659578,
      1.4884025412521618,
      1.470347053931751,
      1.452656966588161,
      1.4353192994014992,
      1.418321707189174,
      1.4016524391942649,
      1.3853003485535487,
      1.3692552193407521,
      1.3535074712293655,
      1.3380478250393877,
      1.3228671148419502,
      1.3079562897810866,
      1.2933066976676983,
      1.278910084119419,
      1.2647585667896697,
      1.2508446116483474,
      1.2371610122273922,
      1.223700870341859,
      1.2104575787729088,
      1.1974248047089584,
      1.184596474870212,
      1.1719668441595041,
      1.1595306039475988,
      1.1472829282551793,
      1.1352194219763334,
      1.1233357126194488,
      1.1116274522065261,
      1.100090529993272,
      1.0887211729701272,
      1.0775156270289312,
      1.0664701406368307,
      1.0555809953265922,
      1.044844527457615,
      1.0342571435122405,
      1.0238153307269244,
      1.0135156641869347,
      1.0033548106944774,
      0.9933295311377821,
      0.9834366810490683,
      0.9736732101039293,
      0.96403616125951,
      0.9545226685479716,
      0.9451299547757346,
      0.9358553295123349,
      0.9266961861742273,
      0.9176499993465375,
      0.908714322008077,
      0.8998867831890554,
      0.8911653095712238,
      0.8825490253837469,
      0.8740375750702534,
      0.8656307799986603,
      0.857328023093038,
      0.8491283129989983,
      0.8410304130886743,
      0.8330329256393739,
      0.8251343515272542,
      0.817333131892463,
      0.8096276783444093,
      0.8020163934693962,
      0.7944974331542535,
      0.787068567230487,
      0.7797277077328236,
      0.7724729556007655,
      0.7653025580591485,
      0.7582148775756518,
      0.7512083690736135,
      0.7442815631147249,
      0.7374330535947247,
      0.7306614885562592,
      0.7239655630352606,
      0.7173440138035055,
      0.7107956157216685,
      0.7043191779963042,
      0.6979135421444684,
      0.6915775796823127,
      0.6853101905816259,
      0.6791103019619827,
      0.6729768666391315,
      0.6669092069423362,
      0.6609068843819803,
      0.6549693152072615,
      0.6490958148662188,
      0.6432856319710345,
      0.6375379724582901,
      0.6318523691976278,
      0.6262285837972427,
      0.6206661974598067,
      0.6151646589737569,
      0.6097233286799234,
      0.6043415093222846,
      0.5990184680262195,
      0.593753451406737,
      0.5885456964769908,
      0.5833944380544654,
      0.5782989135812303,
      0.5732583670556906,
      0.5682720511236644,
      0.5633392285852243,
      0.558459173579462,
      0.5536311719441004,
      0.548854521797056,
      0.5441285337852451,
      0.5394527428150135,
      0.534827190230873,
      0.5302518123567267,
      0.525726363711185,
      0.5212504748515807,
      0.5168236929378366,
      0.5124455099832493,
      0.5081153829309561,
      0.5038327471754638,
      0.4995970264757647,
      0.4954076392944154,
      0.49126400364531897,
      0.4871655402655286,
      0.4831116747585816,
      0.47910183879405205,
      0.4751354713112453,
      0.4712120189174291,
      0.4673309365780249,
      0.46349168748278047,
      0.4596937432081063,
      0.455936583872387,
      0.4522196975733008,
      0.44854258086278564,
      0.4449047383273982,
      0.44130568264913306,
      0.43774493420542543,
      0.4342220210739855,
      0.43073647878111065,
      0.4272878503033506,
      0.42387568583910157,
      0.42049954250354377,
      0.41715898445550226,
      0.4138535825668434,
      0.41058291432098004,
      0.40734656383938184,
      0.4041441214005924,
      0.4009751836215588,
      0.3978393531316932,
      0.39473623855400247,
      0.3916654543861791,
      0.38862662073128984,
      0.3856193634121277,
      0.3826433136813742,
      0.37969810829027895,
      0.37678338917886034,
      0.37389880355070837,
      0.3710440036964777,
      0.36821864671928867,
      0.3654223946694291,
      0.3626549144545712,
      0.3599158776259949,
      0.35720496029608767,
      0.3545218432374421,
      0.35186621163025705,
      0.34923775494082776,
      0.3466361669564427,
      0.3440611456213873,
      0.34151239313174186,
      0.33898961549992856,
      0.33649252274689034,
      0.3340207142582673,
      0.33157371280665837,
      0.3291511022718748,
      0.3267525147571708,
      0.32437769661154137,
      0.322026543026627,
      0.31969892781448167,
      0.3173946874666078,
      0.3151136330436173,
      0.312855558401661,
      0.310620245969495,
      0.3084074710893993,
      0.30621700497666254,
      0.3040486166902673,
      0.30190207482170495,
      0.2997771484125643,
      0.29767360758758443,
      0.2955912240711517,
      0.29352977160230587,
      0.29148902614756833,
      0.289468766015175,
      0.28746877194695136,
      0.2854888271758592,
      0.28352871744965613,
      0.2815882310844326,
      0.2796671589337254,
      0.27776529433719815,
      0.2758824330742482,
      0.27401837341099183,
      0.27217293138788373,
      0.27034595638644426,
      0.2685372922543541,
      0.26674677288038817,
      0.2649742257619613,
      0.26321947461640716,
      0.26148234104557666,
      0.2597626455658487,
      0.25806020879592106,
      0.2563748520819224,
      0.25470639771505776,
      0.2530546693275608,
      0.25141949216369675,
      0.2498006916749727,
      0.2481980662912863,
      0.24661140303975218,
      0.24504050449447334,
      0.2434851847526831,
      0.24194526644646336,
      0.24042057900525038,
      0.2389109571201297,
      0.2374162396451888,
      0.23593626903398515,
      0.2344708906348031,
      0.23301995283437715,
      0.23158330833043939,
      0.23016081206019323,
      0.22875232025524053,
      0.22735769035149,
      0.2259767849326266,
      0.22460951146411437,
      0.2232557944473155,
      0.2219155399900435,
      0.22058864161285213,
      0.2192749843491537,
      0.21797444774291602,
      0.2166869078826364,
      0.2154122385936064,
      0.21415031278562635,
      0.21290100296884434,
      0.21166418195743894,
      0.21043972301337205,
      0.20922750018150924,
      0.2080273885117678,
      0.20683926406762987,
      0.20566300412809052,
      0.204498487075082,
      0.20334559255100945,
      0.20220419056878947,
      0.20107412850051576,
      0.19995526059325608,
      0.1988474514979291,
      0.19775057351901726,
      0.1966645050122937,
      0.1955891287918832,
      0.1945243312149632,
      0.19347000154649724,
      0.19242603127036187,
      0.19139231760557035,
      0.19036876306370268,
      0.1893552698084771,
      0.18835173975168296,
      0.18735807493947546,
      0.18637417769660827,
      0.18539995091108016,
      0.18443529816747067,
      0.18348012378056858,
      0.182534333021962,
      0.18159783205709112,
      0.18067052784686377,
      0.17975232828082308,
      0.17884314221146808,
      0.17794287935159364,
      0.17705145040380998,
      0.17616876698933584,
      0.1752947416435103,
      0.17442928778906427,
      0.17357231967390913,
      0.1727237525405967,
      0.17188350251948545,
      0.17105148660097702,
      0.1702276226742709,
      0.1694118293656365,
      0.16860402620970757,
      0.16780413358244592,
      0.16701207268749438,
      0.16622776549465693,
      0.16545113476994613,
      0.16468210428005245,
      0.163920598357745,
      0.16316654223265004,
      0.162419861919682,
      0.16168048409751953,
      0.16094833623096796,
      0.16022334654986164,
      0.1595054440623192,
      0.15879455837975415,
      0.1580906198812892,
      0.15739355974071667,
      0.15670330983547703,
      0.1560198026963072,
      0.15534297154158014,
      0.1546727502953819,
      0.15400907353130083,
      0.15335187319533092,
      0.15270104865991876,
      0.1520564882978646,
      0.15141809582930957,
      0.15078578614459176,
      0.15015947210652175,
      0.14953902648526118,
      0.14892429273050634,
      0.14831513368151553,
      0.14771143655671268,
      0.14711310652507184,
      0.14652006212165533,
      0.14593223168777855,
      0.14534955090468954,
      0.14477196101728762,
      0.14419936856526555,
      0.14363165425944188,
      0.1430687189290843,
      0.14251047969692837,
      0.1419568657828473,
      0.1414078154483802,
      0.14086327370106896,
      0.14032319055286407,
      0.13978751977485246,
      0.13925621809247316,
      0.1387292443539824,
      0.13820655910145377,
      0.13768812421810256,
      0.13717390267621551,
      0.13666385823817614,
      0.13615795538964703,
      0.13565615926894878,
      0.13515843549084214,
      0.1346647501755336,
      0.1341750697952015,
      0.13368936118702218,
      0.13320759149775346,
      0.13272972819929557,
      0.13225573917546066,
      0.13178559257478067,
      0.1313192567026063,
      0.13085670028271892,
      0.13039789226857698,
      0.12994280192292976,
      0.12949139867550527,
      0.12904365235061585,
      0.1285995328871902,
      0.1281590105870203,
      0.1277220560210572,
      0.12728864000654574,
      0.12685873352801014,
      0.1264323077856802,
      0.12600933426412508,
      0.12558976929893487,
      0.12517353952656868,
      0.12476057813053605,
      0.12435082949518146,
      0.12394424622490584,
      0.1235407870917626,
      0.12314041561158533,
      0.12274309872721985,
      0.12234880610315109,
      0.12195750944326851,
      0.12156918196276403,
      0.12118379815860805,
      0.12080133335576036,
      0.12042176354936276,
      0.1200450655611191,
      0.11967121653701761,
      0.11930019405119204,
      0.11893197604546843,
      0.11856654071956413,
      0.11820386658147311,
      0.11784393239708651,
      0.11748671708342807,
      0.11713219981251019,
      0.11678035993802087,
      0.11643117693542364,
      0.11608463046339487,
      0.11574070041303516,
      0.1153993668499545,
      0.11506060993797858,
      0.11472441004120378,
      0.11439074769969587,
      0.11405960354854014,
      0.11373095830075954,
      0.11340479303602699,
      0.11308108882899899,
      0.11275982692493972,
      0.11244098874398085,
      0.11212455585435745,
      0.111810509971676,
      0.11149883295854587,
      0.11118950677410075,
      0.11088251353832937,
      0.11057783546961097,
      0.11027545493095621,
      0.10997535452123358,
      0.10967751690017735,
      0.10938192487428543,
      0.10908856139427225,
      0.10879740947694024,
      0.10850845232418573
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991536528122797,
      10.788825000783092,
      10.576728087117964,
      10.357444885413944,
      10.133161805499588,
      9.905839949383388,
      9.67723289617259,
      9.448908688359031,
      9.222272891393985,
      8.998564168292459,
      8.778826795009941,
      8.56389200025602,
      8.35437244557303,
      8.150663772322666,
      7.952954196024872,
      7.761245991890167,
      7.575384716684747,
      7.395090286867871,
      7.219986345225331,
      7.049627970445551,
      6.883527906097177,
      6.721179639629159,
      6.562077145759533,
      6.405731395654717,
      6.251683910836392,
      6.099517717557933,
      5.948866061776583,
      5.799414620536071,
      5.650898816714678,
      5.503114701924546,
      5.355914983366145,
      5.209220186285022,
      5.063022755780808,
      4.9173857209930985,
      4.772430104372831,
      4.628329363012818,
      4.485310189373366,
      4.3436472870121055,
      4.203661653894064,
      4.065710262212423,
      3.930174730520573,
      3.797451443647509,
      3.6679392165107547,
      3.542025325621055,
      3.420075005092125,
      3.3024223877265153,
      3.18936311865273,
      3.081148831143545,
      2.977983546147986,
      2.8800219400959026,
      2.7873693247024183,
      2.700080320167544,
      2.6181495093409852,
      2.5415180308132146,
      2.4700872932993323,
      2.403728771846589,
      2.342274450415212,
      2.285498966177502,
      2.2331191570605924,
      2.18477959063845,
      2.1400794529216527,
      2.0986029453880968,
      2.059945627260913,
      2.023721260990234,
      1.9895456627009713,
      1.9570971057945203,
      1.926125260290951,
      1.8964340203383716,
      1.8678705241999543,
      1.8403156785046964,
      1.8136642600258073,
      1.7878239882151024,
      1.762722704449789,
      1.7383036384446964,
      1.7145200860663095,
      1.6913332688959783,
      1.6687130707182696,
      1.646635036892238,
      1.625076564685839,
      1.604016410159412,
      1.5834345681748154,
      1.563312168804645,
      1.5436313859439004,
      1.5243753575766454,
      1.5055281143995718,
      1.487074516405926,
      1.46900019587138,
      1.451291505297264,
      1.4339354709681542,
      1.4169197501554165,
      1.400232592105848,
      1.3838628615223865,
      1.3678003609619225,
      1.3520354975339304,
      1.3365589555851283,
      1.3213614711878559,
      1.3064339898939599,
      1.2917678770021794,
      1.277354890149695,
      1.2631871546062003,
      1.2492571410731759,
      1.2355576456811665,
      1.2220817710528777,
      1.2088229086623927,
      1.1957747240858818,
      1.1829311419488515,
      1.170286431134181,
      1.1578352835583516,
      1.145572899249983,
      1.1334948847360962,
      1.1215968534184757,
      1.1098744532672373,
      1.0983236739844224,
      1.08694074909208,
      1.0757218844748475,
      1.0646632974564179,
      1.0537612449699578,
      1.0430120441243917,
      1.0324120862607722,
      1.0219578464489403,
      1.0116458897562823,
      1.0014728753602893,
      0.9914355576381391,
      0.9815307867185056,
      0.9717555081283354,
      0.9621067609095211,
      0.9525816757646184,
      0.9431774729048057,
      0.9338914594766152,
      0.9247210266940136,
      0.9156636472079641,
      0.9067168723290036,
      0.8978784406644744,
      0.8891470931671667,
      0.8805223070911333,
      0.8720038957146965,
      0.863591354627774,
      0.8552837263615445,
      0.8470797779723889,
      0.8389781000710974,
      0.8309771714552908,
      0.8230754048120518,
      0.8152711786948238,
      0.807562859880929,
      0.7999488192273709,
      0.7924270180662208,
      0.784995183359462,
      0.7776512725334195,
      0.7703934194147708,
      0.7632198949378892,
      0.7561290788989604,
      0.7491194387795365,
      0.7421895143248003,
      0.7353379060160401,
      0.7285632667555815,
      0.721864295199583,
      0.7152397308567502,
      0.7086883504649596,
      0.7022089647273849,
      0.695800416195819,
      0.6894615773096852,
      0.6831913485410642,
      0.6769886573849807,
      0.670852597135665,
      0.6647826813442842,
      0.6587783781055406,
      0.6528390344123108,
      0.6469639157712802,
      0.6411522347464857,
      0.6354033819667348,
      0.6297170992023643,
      0.6240930120514087,
      0.6185305950983035,
      0.6130292218008937,
      0.607588198982611,
      0.6022067918879084,
      0.5968842410484873,
      0.5916197745271791,
      0.5864126162404981,
      0.5812619917632414,
      0.5761671321943802,
      0.5711272772205844,
      0.5661416761417787,
      0.5612095896135088,
      0.5563302902819344,
      0.5515030631303164,
      0.5467272056178853,
      0.5420021228023552,
      0.5373277467316577,
      0.5327040776346799,
      0.5281309107988761,
      0.5236079016112605,
      0.5191346111122286,
      0.5147105377740022,
      0.5103351396546916,
      0.5060078498002247,
      0.5017280870326414,
      0.49749526328095195,
      0.4933087891350775,
      0.4891680771332878,
      0.48507254404284317,
      0.4810216126516658,
      0.477014712900399,
      0.47305128264052365,
      0.46913076786956565,
      0.4652526228270247,
      0.46141631038558484,
      0.457621301977255,
      0.453867077436188,
      0.45015312506537175,
      0.44647894139324285,
      0.4428440309775511,
      0.439247906485419,
      0.4356900884151113,
      0.4321701049428307,
      0.4286874916154556,
      0.4252417913720149,
      0.4218325544884201,
      0.4184593382166867,
      0.41512170672905746,
      0.41181923096088446,
      0.4085514885301447,
      0.40531806340334087,
      0.40211854591870166,
      0.39895253258149227,
      0.39581962603857773,
      0.39271943497899026,
      0.3896515739349495,
      0.38661566305970596,
      0.383611328110628,
      0.380638200409796,
      0.3776959165273577,
      0.3747841184765491,
      0.3719024533777075,
      0.36905057327805424,
      0.366228135432519,
      0.3634348018504154,
      0.3606702394055809,
      0.3579341196449339,
      0.3552261187025014,
      0.3525459171157669,
      0.34989320005246743,
      0.3472676569062292,
      0.34466898130305107,
      0.3420968711879289,
      0.33955102861148856,
      0.33703115958414853,
      0.33453687013644434,
      0.33206767902542106,
      0.32962316132841146,
      0.32720294181497334,
      0.32480670497274133,
      0.3224343057612131,
      0.3200856433423566,
      0.3177605712302246,
      0.3154589112645941,
      0.3131804639436202,
      0.3109250157062661,
      0.3086923436747978,
      0.3064822193128118,
      0.30429441117761546,
      0.3021286863448109,
      0.29998481189708853,
      0.29786255571973086,
      0.29576168716577267,
      0.2936819774534438,
      0.2916231998355019,
      0.2895851299107018,
      0.28756754556923175,
      0.28557022734871434,
      0.2835929582728888,
      0.2816355239112181,
      0.27969771236645286,
      0.27777931430514075,
      0.27588012296760916,
      0.2739999339668919,
      0.27213855530286496,
      0.270295832836696,
      0.2684716103992098,
      0.26666572113314563,
      0.26487799140377827,
      0.2631082432810355,
      0.2613562965311266,
      0.2596219698834745,
      0.25790508199769907,
      0.2562054520454629,
      0.25452290032887426,
      0.25285724836543,
      0.25120831910229446,
      0.24957593551752624,
      0.24795989316667955,
      0.2463599769509533,
      0.2447759873094209,
      0.24320773616339383,
      0.2416550442139067,
      0.24011773894428423,
      0.23859565301447538,
      0.23708862348710757,
      0.2355964909149156,
      0.23411909875735332,
      0.23265629425598994,
      0.23120792877567767,
      0.22977385528372293,
      0.22835392798354254,
      0.2269480024596082,
      0.22555596355180887,
      0.22417773479611625,
      0.2228132269311181,
      0.22146233586737116,
      0.2201249474859367,
      0.21880094090902422,
      0.21749019096710365,
      0.21619256997402517,
      0.2149079486895793,
      0.21363619732538203,
      0.21237718617841447,
      0.21113078591987455,
      0.20989686803690652,
      0.20867530480519633,
      0.20746596954329982,
      0.20626873667858098,
      0.20508348196917806,
      0.20391008237331892,
      0.20274840989512488,
      0.20159831157463168,
      0.2004596361406325,
      0.19933224363949414,
      0.1982160025282887,
      0.19711078756316838,
      0.19601647839753153,
      0.19493295846522135,
      0.19386011425892669,
      0.19279783479724164,
      0.19174601108824288,
      0.19070453601927706,
      0.18967330518126094,
      0.18865222075718727,
      0.18764118641419578,
      0.18664010502598005,
      0.1856488793168409,
      0.18466741221175442,
      0.18369560697009524,
      0.18273336742195806,
      0.18178059798949373,
      0.18083720401529021,
      0.17990309164842622,
      0.1789781679365269,
      0.1780623407807161,
      0.17715551896968226,
      0.17625761225465872,
      0.1753685312749132,
      0.1744881876896113,
      0.17361649395700768,
      0.17275336344679634,
      0.171898710415659,
      0.17105245003664515,
      0.17021449835514593,
      0.16938477232418314,
      0.16856318984274615,
      0.16774966950462775,
      0.16694413085865606,
      0.16614649416301483,
      0.1653566806636609,
      0.16457461235449972,
      0.1638002120327448,
      0.16303340326145482,
      0.1622741104684216,
      0.16152225872332288,
      0.1607777740263518,
      0.16004058312248523,
      0.15931061347785133,
      0.15858779326464484,
      0.1578720513801486,
      0.1571633175449226,
      0.1564615221236033,
      0.15576659625999972,
      0.15507847181741752,
      0.15439708125167478,
      0.153722357797732,
      0.1530542353857266,
      0.15239264068188604,
      0.15173746522154846,
      0.1510885998080214,
      0.15044594962553262,
      0.14980943048275114,
      0.14917893698214865,
      0.14855431611524175,
      0.14793541284522213,
      0.14732210116253733,
      0.14671427631115516,
      0.1461118492499647,
      0.14551474254861807,
      0.1449228874157113,
      0.1443362216126519,
      0.14375468757075788,
      0.143178202813004,
      0.14260664978956142,
      0.14203992585523656,
      0.14147794549058426,
      0.14092063593642543,
      0.1403679338316509,
      0.13981978290499367,
      0.13927613209488585,
      0.13873693426821293,
      0.1382021453866024,
      0.13767172367840147,
      0.13714562906085417,
      0.13662382288688418,
      0.13610626768455025,
      0.13559292678009613,
      0.13508376419125662,
      0.1345787446439758,
      0.1340778333371839,
      0.1335809959321163,
      0.1330881984988526,
      0.13259940747694246,
      0.13211458970736875,
      0.13163371232625043,
      0.13115674284378676,
      0.1306836490466814,
      0.1302143989460131,
      0.12974896085950174,
      0.12928730343756853,
      0.12882939558904702,
      0.12837520650945805,
      0.12792470559570548,
      0.12747786253983986,
      0.12703464725846356,
      0.1265950299691139,
      0.1261589810770612,
      0.12572647133625567,
      0.12529747173168457,
      0.12487195336897738,
      0.12444986238419187,
      0.12403112310781723,
      0.12361567130925286,
      0.12320345316985035,
      0.12279442256966781,
      0.12238853927551997,
      0.12198576737457499,
      0.12158607420163099,
      0.12118942964147109,
      0.12079580549840511,
      0.12040517504500821,
      0.12001751262077834,
      0.1196327934642857,
      0.1192509935484971,
      0.11887208939347017,
      0.11849605812302928,
      0.11812287705285174,
      0.11775252390922478,
      0.1173849767246049,
      0.11702021378557201,
      0.11665821358157188,
      0.1162989548244096,
      0.1159424164621732,
      0.11558857759232269,
      0.11523741750254608,
      0.11488891569323983,
      0.11454305185627697,
      0.11419980582259107,
      0.11385915754223572,
      0.11352108714105578,
      0.11318557491451599,
      0.11285260137932782,
      0.1125221471415351,
      0.11219419295573672,
      0.11186871971472998,
      0.11154570849082135,
      0.11122514050763015,
      0.11090699712528698,
      0.1105912598133277,
      0.11027791023864819,
      0.10996693015045564,
      0.10965830153276371,
      0.10935200647166057,
      0.10904802714998363,
      0.108746345880559,
      0.10844694519097575,
      0.10814980771811993,
      0.10785491619859373,
      0.10756225352968814,
      0.1072718026779365,
      0.10698354687441859
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991525053411697,
      10.788773112059047,
      10.576613497569449,
      10.35725050736313,
      10.132876011034814,
      9.905455530416102,
      9.676746976555266,
      9.44832128617746,
      9.221585680401146,
      8.997779780825578,
      8.777948730058798,
      8.562924085986527,
      8.353318378221509,
      8.1495267343616,
      7.951736573641363,
      7.7599495404870344,
      7.574010547397936,
      7.393638903169343,
      7.218457610971717,
      7.04802120339346,
      6.881841997088203,
      6.719413191260114,
      6.560228625411927,
      6.4037992965564365,
      6.249666915194539,
      6.097414858935657,
      5.946676885470341,
      5.79713941519506,
      5.648538710744893,
      5.500671686258474,
      5.353391998959576,
      5.206621310967455,
      5.060353280842306,
      4.914652190736806,
      4.769640237586267,
      4.625492074697795,
      4.482435874191584,
      4.340747502398963,
      4.200748777665894,
      4.062797276621104,
      3.927274977107631,
      3.794578448430216,
      3.6651063356688125,
      3.539245421675447,
      3.4173601959498074,
      3.29978382640093,
      3.1868108122691137,
      3.0786915047094965,
      2.9756285523499586,
      2.8777752155594007,
      2.78523538870459,
      2.6980619550378893,
      2.616247187853619,
      2.5397304775619984,
      2.4684123198564536,
      2.40216325149664,
      2.340812616940042,
      2.2841327866452263,
      2.231838196947729,
      2.1835711173732797,
      2.13893074644032,
      2.0975007328994075,
      2.0588779545062454,
      2.0226764600241127,
      1.9885133341787642,
      1.956069331319564,
      1.9250961805815217,
      1.895399265714284,
      1.8668267994721386,
      1.8392604962021273,
      1.8125957110264481,
      1.7867407911839166,
      1.7616239099706237,
      1.737188600917696,
      1.7133884335936602,
      1.6901846611419586,
      1.6675466987778857,
      1.645450216285593,
      1.623872857141964,
      1.6027935633980896,
      1.5821924699077676,
      1.56205081054394,
      1.5423508355920292,
      1.5230757386382834,
      1.5042095903054304,
      1.4857372782281253,
      1.4676444531286903,
      1.4499174795958896,
      1.4325433904413816,
      1.415509845766417,
      1.3988050946392483,
      1.3824180137553028,
      1.3663384249327974,
      1.3505567229294126,
      1.3350635313573342,
      1.319849497613291,
      1.3049055891263113,
      1.2902231866736062,
      1.2757940582962228,
      1.2616103359102664,
      1.2476644939616366,
      1.233949330223913,
      1.220457947353234,
      1.2071837362957751,
      1.1941203605491881,
      1.1812617420504774,
      1.1686021640074247,
      1.1561363191476106,
      1.143859433743793,
      1.1317671160608327,
      1.1198549648074372,
      1.1081186730775712,
      1.0965543103171596,
      1.0851580655722666,
      1.0739261097026462,
      1.0628546331967306,
      1.05193987197615,
      1.0411781263645155,
      1.0305657744659373,
      1.0200992807840534,
      1.009775202022499,
      0.9995901901720372,
      0.9895409937964346,
      0.979624458476845,
      0.9698375255890821,
      0.9601772308233105,
      0.9506407019696357,
      0.9412251567634421,
      0.9319279000034002,
      0.9227463208334492,
      0.9136778901093786,
      0.9047201575676239,
      0.8958715061832941,
      0.8871312558720164,
      0.8784991174835826,
      0.8699746938565585,
      0.8615571023487785,
      0.8532451170582455,
      0.845037314638311,
      0.836932150030097,
      0.8289280053988844,
      0.8210232242477067,
      0.8132161355823752,
      0.8055050711996455,
      0.7978882898886608,
      0.7903636032186959,
      0.7829287879554526,
      0.775581837671537,
      0.7683209122370112,
      0.7611443018374064,
      0.7540504000879914,
      0.7470376846116226,
      0.7401047024974744,
      0.7332500597235355,
      0.726472413049358,
      0.7197704638835133,
      0.7131429539396755,
      0.7065886615333906,
      0.700106398491145,
      0.69369500848568,
      0.6873533644077878,
      0.6810803673437547,
      0.6748749674801348,
      0.6687365080122307,
      0.6626645190077527,
      0.6566583849261828,
      0.6507173924724651,
      0.6448407638959661,
      0.639027776592734,
      0.6332781108827227,
      0.6275914422991394,
      0.621967274975093,
      0.616404997830956,
      0.6109039237609587,
      0.605463317265483,
      0.6000824132859756,
      0.5947604314246502,
      0.5894965848063144,
      0.5842900868442213,
      0.5791401556791866,
      0.5740460173269338,
      0.5690069075202807,
      0.5640220733243528,
      0.5590907738709547,
      0.5542122805476354,
      0.5493858775360674,
      0.5446108618632766,
      0.5398870167228259,
      0.5352144104635976,
      0.5305928825893019,
      0.5260221160938578,
      0.5215016878114332,
      0.5170311037563189,
      0.512609823715733,
      0.508237278713581,
      0.5039128828035444,
      0.499636041826984,
      0.49540615850480807,
      0.491222636934982,
      0.4870848852395975,
      0.4829923172381728,
      0.4789443537385143,
      0.47494042327332847,
      0.47097996266834985,
      0.4670624173431996,
      0.4631872411954148,
      0.4593538968566147,
      0.4555618555602547,
      0.45181059725779726,
      0.4480996101192416,
      0.44442839063999495,
      0.4407964435149075,
      0.43720328148406773,
      0.4336484250236246,
      0.4301314023144111,
      0.4266517490309206,
      0.4232090082309763,
      0.4198027302702067,
      0.41643247238561665,
      0.41309779873656416,
      0.4097982803446132,
      0.406533494703063,
      0.40330302584537403,
      0.40010646421099755,
      0.3969434063859814,
      0.39381345497184506,
      0.39071621855808575,
      0.38765131162037103,
      0.38461835437050523,
      0.38161697253238447,
      0.37864679727298256,
      0.37570746533958826,
      0.37279861858998753,
      0.3699199041105638,
      0.3670709741341478,
      0.36425148570713717,
      0.3614611007413728,
      0.35869948612018016,
      0.35596631335126294,
      0.35326125842664374,
      0.35058400188962496,
      0.3479342288042683,
      0.34531162852557135,
      0.34271589465216407,
      0.34014672503385546,
      0.33760382158013696,
      0.3350867994032692,
      0.3325951735874237,
      0.3301285093703709,
      0.32768642354855027,
      0.32526857049820357,
      0.3228747334834651,
      0.32050482236035005,
      0.3181587110265767,
      0.31583623505441527,
      0.3135372036696753,
      0.3112614082418047,
      0.3090086285766531,
      0.3067786372129244,
      0.30457120233600576,
      0.3023860900072493,
      0.3002230656412712,
      0.29808189502857285,
      0.29596234509900565,
      0.2938641844289014,
      0.2917871836719745,
      0.28973111567394944,
      0.28769575567878786,
      0.28568088134773045,
      0.2836862730362782,
      0.2817117134270893,
      0.27975698789195114,
      0.27782188447698347,
      0.27590619366438945,
      0.2740097084819496,
      0.2721322309755061,
      0.2702735996946583,
      0.26843365885141246,
      0.2666122412167151,
      0.2648091722495035,
      0.2630242726542659,
      0.26125736035716735,
      0.2595082522264341,
      0.257776764996202,
      0.2560627157668842,
      0.25436592265620933,
      0.25268620492889166,
      0.2510233835092437,
      0.24937727920827868,
      0.24774768506002856,
      0.24613438348904212,
      0.24453717267313876,
      0.24295586236627825,
      0.2413902711130374,
      0.23984022423175935,
      0.23830555241862322,
      0.2367860907511602,
      0.23528167780790685,
      0.2337921552059551,
      0.23231736932287414,
      0.23085716986769414,
      0.2294114077749209,
      0.22797993530216676,
      0.2265626153622519,
      0.22515935961551814,
      0.22377008532004564,
      0.2223946920188167,
      0.22103306713234913,
      0.21968509006462864,
      0.21835063487737488,
      0.21702957233186568,
      0.21572177139488158,
      0.21442709997302217,
      0.21314542585777338,
      0.21187661717227874,
      0.21062054262742674,
      0.2093770718038337,
      0.2081460752833834,
      0.2069274247960116,
      0.20572099329296797,
      0.2045266550109126,
      0.20334428318721212,
      0.2021737277337879,
      0.20101483109663756,
      0.19986744804246906,
      0.1987314426558013,
      0.19760668585574964,
      0.1964930537649869,
      0.19539042665701284,
      0.19429868812191212,
      0.19321772434583478,
      0.19214742376824015,
      0.19108767675971686,
      0.19003837536976073,
      0.18899941311850704,
      0.1879706849967317,
      0.18695209114635022,
      0.18594353622388016,
      0.1849449240211325,
      0.18395615790911982,
      0.18297714126666437,
      0.18200777760265022,
      0.1810479709837649,
      0.18009762601805326,
      0.17915664819655946,
      0.17822494375410383,
      0.17730241960847423,
      0.17638898368362751,
      0.175484544790756,
      0.17458901265194174,
      0.17370229793993833,
      0.17282431219347283,
      0.17195496782455583,
      0.17109417812873076,
      0.17024185752702597,
      0.1693979211503731,
      0.16856228493516492,
      0.16773486588676595,
      0.16691558176145294,
      0.1661043511962936,
      0.16530109365101464,
      0.16450572933989058,
      0.16371817943336509,
      0.16293836597667377,
      0.1621662116525095,
      0.16140164007377933,
      0.1606445755895191,
      0.15989494344994662,
      0.15915266947177806,
      0.1584176803416334,
      0.15768990351543172,
      0.15696926719664023,
      0.1562557002599265,
      0.1555491324061481,
      0.15484949401490816,
      0.15415671620289423,
      0.15347073078944473,
      0.15279147022006373,
      0.15211886767652366,
      0.15145284407873025,
      0.15079328521050028,
      0.15014008378968943,
      0.14949314620323276,
      0.1488523811775476,
      0.1482176586925537,
      0.14758881363435042,
      0.14696570266759124,
      0.14634820809333587,
      0.14573623116012682,
      0.14512968708913287,
      0.14452850149542626,
      0.14393260766963645,
      0.14334194464620706,
      0.14275645582156715,
      0.1421760718719257,
      0.14160067719904929,
      0.14103016470926238,
      0.14046444548834505,
      0.13990344416848427,
      0.13934709536520035,
      0.13879534114499995,
      0.1382481292214737,
      0.13770541146587303,
      0.13716714293589766,
      0.13663328108231548,
      0.13610378527632802,
      0.1355786162616836,
      0.13505773592989415,
      0.134541107189042,
      0.134028693619839,
      0.13352045947174807,
      0.13301636947050915,
      0.1325163888883061,
      0.13202048347601594,
      0.13152861929533557,
      0.13104076284494495,
      0.13055688084446798,
      0.13007694041372364,
      0.12960090895450527,
      0.12912875417968428,
      0.12866044410530586,
      0.12819594705640946,
      0.12773523156590463,
      0.12727826640140574,
      0.1268250206757213,
      0.12637546374205288,
      0.12592956521112222,
      0.12548729493109284,
      0.1250486230829009,
      0.1246135200730407,
      0.12418195657358751,
      0.1237539013379713,
      0.12332929258783977,
      0.12290805476794979,
      0.12249012552281147,
      0.1220754523120522,
      0.12166398994378459,
      0.12125569876012053,
      0.12085054323817991,
      0.12044849095068945,
      0.1200495119201967,
      0.11965357802092563,
      0.1192606624195736,
      0.11887073926274723,
      0.11848378374360785,
      0.1180997717398044,
      0.11771867956228634,
      0.11734048405567768,
      0.11696516242684166,
      0.11659269218972347,
      0.11622305122574494,
      0.11585621754001935,
      0.11549216938719324,
      0.11513088527090895,
      0.11477234386159389,
      0.11441652406745517,
      0.11406340503002559,
      0.1137129659934375,
      0.11336518633305709,
      0.1130200456926375,
      0.11267752385555523,
      0.11233760076269274,
      0.11200025648635654,
      0.11166547125566224,
      0.11133322550164751,
      0.11100349980114758,
      0.1106762748785369,
      0.11035153160196015,
      0.11002925097326753,
      0.10970941415057689,
      0.10939200244586988,
      0.10907699732947468,
      0.10876438039070427,
      0.10845413337531475,
      0.10814623815975795,
      0.10784067676418266,
      0.10753743139153214,
      0.10723648432720499,
      0.10693781799179916,
      0.10664141500707451,
      0.1063472580844832,
      0.10605533009857701,
      0.10576561404661575,
      0.10547809297021146
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991513565578039,
      10.788721145826909,
      10.576498704014737,
      10.357055758161023,
      10.132589549294078,
      9.9050700523763,
      9.676259595482623,
      9.447732006774785,
      9.220896165768394,
      8.996992656199865,
      8.77706748575549,
      8.561952540615588,
      8.352260220170766,
      8.148385142651628,
      7.950513937910342,
      7.758647620213909,
      7.572630456965436,
      7.392181147276976,
      7.216922054784616,
      7.046407164619937,
      6.880148365741583,
      6.717638570904037,
      6.558371484952145,
      6.401858130221529,
      6.247640406677522,
      6.095302045775022,
      5.944477320629172,
      5.794853394333201,
      5.6461673697836385,
      5.4982170284350245,
      5.350856982823889,
      5.204010037883901,
      5.057671069977005,
      4.911905618466291,
      4.766837060848467,
      4.622641251514203,
      4.479547845353078,
      4.337833872739178,
      4.197821973779735,
      4.059870329039069,
      3.9243612952673486,
      3.7916916138847943,
      3.6622597296585546,
      3.5364519278987125,
      3.41463194987601,
      3.297131994883779,
      3.184245412171143,
      3.0762212663137336,
      2.9732608307702257,
      2.875515947398698,
      2.783089091481799,
      2.696031408276318,
      2.6143328594224156,
      2.5379310874197825,
      2.4667256779265045,
      2.400586094980763,
      2.3393391669546726,
      2.282755036072326,
      2.230545738948825,
      2.182351252497461,
      2.1377707904313032,
      2.096387452323495,
      2.0577993555401335,
      2.0216208614002134,
      1.9874704062702009,
      1.9550312068092188,
      1.924057037104693,
      1.8943547279826298,
      1.8657735969490818,
      1.8381961564866276,
      1.8115183314545096,
      1.785649092201785,
      1.7605169417833972,
      1.7360657147006664,
      1.7122492530316802,
      1.689028840721806,
      1.6663735670971622,
      1.6442590471333596,
      1.6226631791401704,
      1.6015650971251532,
      1.5809450798892888,
      1.5607844689756394,
      1.5410655943801728,
      1.521771707903984,
      1.5028869217932923,
      1.4843961530691774,
      1.466285072028846,
      1.4485400556028074,
      1.4311481443385494,
      1.414097001954888,
      1.3973748778077666,
      1.3809706612875536,
      1.364874194003868,
      1.3490758588209573,
      1.333566181101036,
      1.318335767000182,
      1.303375603989571,
      1.2886770866724964,
      1.2742319923252472,
      1.2600324586204206,
      1.2460709632375238,
      1.2323403050022028,
      1.2188335864405653,
      1.2055441971653564,
      1.1924657989270806,
      1.1795923115262057,
      1.1669180315385015,
      1.154437667634028,
      1.142146467359817,
      1.1300400250445446,
      1.1181139261794042,
      1.1063639314805607,
      1.0947861602718763,
      1.08337675971886,
      1.0721318686533714,
      1.0610476521495134,
      1.0501203259804883,
      1.0393461749570487,
      1.02872156466299,
      1.018242949552945,
      1.007906878183268,
      0.9977099961892067,
      0.9876490471070202,
      0.9777208717958196,
      0.9679224076680364,
      0.9582506871025923,
      0.9487028351252192,
      0.939276066945067,
      0.9299676852225033,
      0.920775077195005,
      0.911695711888513,
      0.9027275970919258,
      0.8938697639738211,
      0.8851218155384781,
      0.8764834182328678,
      0.8679537714109701,
      0.8595317010636572,
      0.8512157750926813,
      0.8430044243712265,
      0.8348959999109972,
      0.8268888095332403,
      0.8189811437523798,
      0.8111712941518473,
      0.8034575657842171,
      0.7958380856644014,
      0.7883105549765682,
      0.780872800874609,
      0.7735228530029783,
      0.766258897707604,
      0.7590792442457536,
      0.7519823000745854,
      0.7449665527765519,
      0.7380305566526233,
      0.7311729231965871,
      0.7243923132720183,
      0.7176874313366831,
      0.7110570209956458,
      0.7044998621840296,
      0.6980147679952873,
      0.6916005826036186,
      0.6852561797731881,
      0.6789804612948036,
      0.672772542829467,
      0.6666319274538974,
      0.6605580508352022,
      0.6545502300196365,
      0.6486077031461733,
      0.6427296750792144,
      0.6369157120984466,
      0.6311655480275764,
      0.6254787220788629,
      0.6198546425153661,
      0.6142926305724158,
      0.6087919513128954,
      0.6033518353282614,
      0.5979714939489869,
      0.5926501297941492,
      0.5873869443754959,
      0.5821811428839841,
      0.5770319376528084,
      0.5719385507429847,
      0.566900215204442,
      0.5619161761908953,
      0.5569856912976126,
      0.5521080312465444,
      0.5472824795998383,
      0.5425086179081019,
      0.5377864855957775,
      0.5331159827368502,
      0.528496830915092,
      0.523928630418203,
      0.5194109000809768,
      0.5149431054301571,
      0.5105246779447007,
      0.5061550287542421,
      0.5018335582970044,
      0.4975596624548387,
      0.4933327374256024,
      0.489152182766169,
      0.4850174034316253,
      0.4809278109977185,
      0.47688282475894483,
      0.47288187229993567,
      0.46892438974797673,
      0.46500982198876106,
      0.46113762279589593,
      0.45730725472396133,
      0.45351818899527707,
      0.4497699054312639,
      0.4460618923539016,
      0.4423936463308181,
      0.438764672069188,
      0.4351744822812283,
      0.4316225974711661,
      0.4281085458731986,
      0.4246318632351314,
      0.42119209270322755,
      0.41778878460455904,
      0.4144214962545665,
      0.4110897918153987,
      0.40779324233264075,
      0.4045314253150712,
      0.40130392479831656,
      0.398110331257374,
      0.39495024124089095,
      0.39182325733776185,
      0.38872898819610896,
      0.38566704826507814,
      0.3826370575896455,
      0.3796386420147138,
      0.37667143270569864,
      0.3737350662056174,
      0.37082918441887736,
      0.36795343431887667,
      0.3651074681417808,
      0.36229094299932957,
      0.3595035208258548,
      0.3567448682014998,
      0.35401465656002296,
      0.3513125618676648,
      0.34863826466128955,
      0.3459914499130119,
      0.34337180689915053,
      0.34077902917489244,
      0.3382128144008361,
      0.3356727892523812,
      0.3331584655665789,
      0.33066939763622777,
      0.3282051936026735,
      0.3257655006629602,
      0.32335002848379224,
      0.32095865802929996,
      0.31859128884245774,
      0.31624777344181293,
      0.3139279321070175,
      0.3116315631710093,
      0.3093584502597635,
      0.30710836758765947,
      0.3048810836331564,
      0.30267636371749934,
      0.30049397189124327,
      0.29833367188005605,
      0.2961952284683904,
      0.29407840768492804,
      0.29198297753331176,
      0.28990870824116816,
      0.2878553721805439,
      0.28582274418524434,
      0.283810601731939,
      0.28181872482036974,
      0.27984689603590174,
      0.27789490061683453,
      0.2759625263869281,
      0.2740495636545107,
      0.272155808257119,
      0.27028109098142267,
      0.2684252568011654,
      0.26658813808239284,
      0.26476955927473483,
      0.2629693396583166,
      0.26118729567322774,
      0.25942324235677233,
      0.25767699427554147,
      0.255948366490509,
      0.254237174935203,
      0.25254323687018343,
      0.25086637104668774,
      0.24920639620682183,
      0.24756310341470014,
      0.24593627236542454,
      0.24432569868079096,
      0.24273118977498842,
      0.24115256198563026,
      0.23958963852456494,
      0.23804224794822337,
      0.23651022320547602,
      0.23499340096679786,
      0.2334916213720311,
      0.2320047296214725,
      0.23053257327067012,
      0.2290750012121685,
      0.22763186381730274,
      0.2262030482491639,
      0.22478847566519647,
      0.22338805092925235,
      0.22200166422474935,
      0.22062919588625413,
      0.21927051977951706,
      0.21792550559963947,
      0.21659402051531834,
      0.21527593043313212,
      0.21397110079729906,
      0.21267939702998362,
      0.21140068518632743,
      0.21013483205040845,
      0.20888170543631696,
      0.2076411742117622,
      0.20641310852792896,
      0.20519737973480517,
      0.20399386043978304,
      0.20280240614035042,
      0.20162285497193172,
      0.20045505557446908,
      0.1992988668519397,
      0.19815415529277358,
      0.19702079328502567,
      0.19589865763124387,
      0.1947876286770166,
      0.19368758968100389,
      0.19259842633521454,
      0.1915200263190634,
      0.19045227907637594,
      0.18939507570007796,
      0.18834830877136569,
      0.1873118721656829,
      0.18628566110448191,
      0.18526957329211907,
      0.18426351281085004,
      0.18326738454774322,
      0.18228109253097108,
      0.18130454055120462,
      0.18033763256517274,
      0.17938027285739355,
      0.178432366253399,
      0.17749381819430846,
      0.1765645349026412,
      0.17564442346101566,
      0.1747333918047308,
      0.17383134870427439,
      0.17293820394144324,
      0.172053868056115,
      0.17117825256605979,
      0.17031126991029383,
      0.1694528334336944,
      0.16860285733617644,
      0.16776125681576887,
      0.16692794782049575,
      0.16610284718452864,
      0.1652858726845894,
      0.1644769429531184,
      0.16367597745811302,
      0.16288289643479695,
      0.16209762102978792,
      0.16132007319389402,
      0.16055017562865673,
      0.15978785188174174,
      0.15903302630501945,
      0.15828562403478774,
      0.15754557093647206,
      0.15681279363442252,
      0.15608721953796895,
      0.15536877680653655,
      0.15465739439391327,
      0.15395300198055917,
      0.15325552989583585,
      0.15256490923331073,
      0.15188107179041743,
      0.15120395005540122,
      0.150533457292685,
      0.14986947720190502,
      0.14921190385983002,
      0.14856064448020373,
      0.14791559566647838,
      0.14727660111242902,
      0.14664349692039028,
      0.14601614926200282,
      0.14539444728019654,
      0.14477829711363294,
      0.14416761742417947,
      0.14356233615593642,
      0.14296238832210734,
      0.14236771400335607,
      0.14177825724385956,
      0.1411939576507136,
      0.14061471049075597,
      0.14004040275104976,
      0.13947094108336267,
      0.13890624667487492,
      0.13834625159532057,
      0.13779089596233332,
      0.13724012582469353,
      0.1366938917299579,
      0.13615214764651168,
      0.13561485020406272,
      0.13508195800165576,
      0.1345534311520504,
      0.13402923099735836,
      0.13350931990579967,
      0.13299366094472378,
      0.1324822179257081,
      0.13197495517846672,
      0.13147183761958206,
      0.130972830447906,
      0.13047789939463245,
      0.12998701053619943,
      0.12950013032488747,
      0.12901722542348115,
      0.12853826290337964,
      0.1280632101769779,
      0.12759203484221907,
      0.1271247049159703,
      0.12666118855343955,
      0.12620145420721574,
      0.12574547065377062,
      0.1252932068937053,
      0.12484463227578037,
      0.12439971637401014,
      0.12395842899903246,
      0.12352074017239237,
      0.12308662029853548,
      0.1226560343809923,
      0.12222891479598541,
      0.12180518777383223,
      0.12138479218063716,
      0.12096767634932769,
      0.12055379566745222,
      0.12014311082199843,
      0.11973558645899147,
      0.11933119027832786,
      0.11892989233761618,
      0.11853166433960954,
      0.11813647936499026,
      0.11774431159764207,
      0.11735513597786633,
      0.116968928074834,
      0.11658566410767583,
      0.11620532066362442,
      0.11582787472952,
      0.11545330354645131,
      0.11508158470085707,
      0.11471269608967981,
      0.11434661575302169,
      0.11398332201293568,
      0.11362279332669847,
      0.11326500834424917,
      0.11290994599819369,
      0.11255758532773937,
      0.11220790552556284,
      0.11186088599170074,
      0.11151650626724892,
      0.11117474605133965,
      0.11083558529511804,
      0.1104990039465731,
      0.11016498224905105,
      0.10983350060808786,
      0.10950453950355525,
      0.10917807960554807,
      0.1088541017763858,
      0.10853258695900986,
      0.10821351626279438,
      0.10789687094821766,
      0.10758263242484833,
      0.10727078222430565,
      0.10696130206286693,
      0.10665417380938098,
      0.10634937940273731,
      0.1060469009923696,
      0.10574672088854173,
      0.10544882144980927,
      0.1051531852950847,
      0.10485979504569826,
      0.1045686335066706,
      0.10427968358771858,
      0.10399292839657491
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991502075506425,
      10.788669148876721,
      10.576383813263721,
      10.356860827851078,
      10.1323028089637,
      9.90468418198231,
      9.675771680111746,
      9.447142019866785,
      9.22020574030292,
      8.996204390799411,
      8.77618484514834,
      8.560979320336168,
      8.351200089518173,
      8.147241268152971,
      7.949288702158833,
      7.757342777745303,
      7.57124711833909,
      7.390719814900509,
      7.2153825933243585,
      7.044788891107326,
      6.8784501702601455,
      6.715859056940926,
      6.556509123225805,
      6.399911418631229,
      6.245608034290104,
      6.0931830573399965,
      5.942271277378431,
      5.79256060108528,
      5.643788969922992,
      5.495754875066828,
      5.348314067267505,
      5.201390494319167,
      5.054980253460964,
      4.909150144966417,
      4.764024728543753,
      4.619781060744212,
      4.476650280191911,
      4.3349105815710685,
      4.1948854244139,
      4.056933591331445,
      3.921437835188447,
      3.7887950552366263,
      3.65940346914738,
      3.533648861173197,
      3.411894219997863,
      3.294470772138726,
      3.181670713928745,
      3.073741821509645,
      2.970883991017434,
      2.8732476444772312,
      2.7809338373155175,
      2.6939919558724434,
      2.6124096731215216,
      2.536122884230907,
      2.465030269174221,
      2.3990001837366735,
      2.337857039968382,
      2.281368697208021,
      2.229244795867861,
      2.181123027564426,
      2.136602625628626,
      2.095266144232375,
      2.0567127928513744,
      2.020557231681923,
      1.9864194558305255,
      1.9539851651693947,
      1.9230101518192104,
      1.8933026742620402,
      1.864713139326628,
      1.8371248456699236,
      1.8104342779703952,
      1.7845510238889069,
      1.7594039118738691,
      1.7349370749267234,
      1.7111046253333184,
      1.687867959275465,
      1.6651958280656856,
      1.6430636800541336,
      1.6214496773032006,
      1.6003331525906932,
      1.5796945346840612,
      1.5595152762840223,
      1.5397777901828802,
      1.5204653887704227,
      1.5015622277775535,
      1.483053254905895,
      1.4649241618704394,
      1.4471613392136666,
      1.4297518356599592,
      1.4126833188674122,
      1.395944039493863,
      1.3795229001596268,
      1.3634097633888111,
      1.3475949957077018,
      1.3320690170574192,
      1.3168224082912445,
      1.3018461763505649,
      1.2871317289636053,
      1.2726708519116756,
      1.258455688371837,
      1.2444787192276092,
      1.2307327444475435,
      1.2172108660782512,
      1.2039064721171198,
      1.190813222504338,
      1.1779250346005152,
      1.1652362194329031,
      1.1527415036776958,
      1.1404361551342697,
      1.1283157525780068,
      1.1163758684068121,
      1.1046123576564486,
      1.093021352118731,
      1.0815989602213494,
      1.0703412906839,
      1.0592444847759523,
      1.0483047398352818,
      1.0375183255022582,
      1.0268815956434196,
      1.016390995623763,
      1.0060430661554463,
      0.9958344465210553,
      0.9857618747275294,
      0.9758221876346116,
      0.9660123193158995,
      0.9563292991128882,
      0.9467702491080083,
      0.9373323821662193,
      0.9280129988432093,
      0.918809484610335,
      0.9097195401665126,
      0.9007419336033505,
      0.8918760507788503,
      0.8831215629971453,
      0.8744777424307122,
      0.8659434778792179,
      0.8575173696821298,
      0.8491978266100987,
      0.8409831676698011,
      0.8328716637846754,
      0.8248615656641443,
      0.8169511233300056,
      0.8091385992917391,
      0.8014222782156204,
      0.7938001070984191,
      0.7862697508295818,
      0.7788290838423972,
      0.7714761699933298,
      0.7642092205607379,
      0.7570265628468111,
      0.7499266172819996,
      0.7429078811535366,
      0.7359689159770131,
      0.7291083382842686,
      0.7223248123124514,
      0.7156170452708139,
      0.708983782815171,
      0.7024238063032814,
      0.695935930050143,
      0.6895189991431,
      0.6831718880975866,
      0.6768935425202903,
      0.6706833171027703,
      0.6645407094572173,
      0.6584650745844367,
      0.6524556718344745,
      0.6465116980060782,
      0.64063257411059,
      0.6348180308020821,
      0.6290676538874008,
      0.6233808789831947,
      0.6177570411408708,
      0.6121954100139234,
      0.6066952140332175,
      0.601255658169606,
      0.5958759356211561,
      0.5905552363890479,
      0.5852927529245321,
      0.580087684165961,
      0.574939238285631,
      0.5698466341338692,
      0.5648091027613126,
      0.5598258879334226,
      0.5548962463028466,
      0.5500194478797727,
      0.5451949009840497,
      0.5404225657877332,
      0.535702409500307,
      0.53103419665908,
      0.5264175539055306,
      0.5218520149538921,
      0.517337052142993,
      0.5128720982877699,
      0.5084565620576482,
      0.5040898386401247,
      0.4997713173275169,
      0.49550038643621647,
      0.49127643679747746,
      0.48709886418962534,
      0.4829670710006912,
      0.47888046715502053,
      0.4748384708419522,
      0.47084050889847223,
      0.46688601700152393,
      0.4629744397478079,
      0.45910523067420594,
      0.4552778520416204,
      0.45149177517234573,
      0.4477464798413342,
      0.44404145429862096,
      0.4403761952626429,
      0.4367502075034765,
      0.43316300377934763,
      0.42961410464384175,
      0.4261030384036931,
      0.4226293409231293,
      0.41919255540204714,
      0.41579223207718946,
      0.41242792827883173,
      0.4090992082081891,
      0.4058056428931247,
      0.40254680991588243,
      0.3993222933707432,
      0.3961316835941728,
      0.392974577226983,
      0.389850576871487,
      0.38675929103025797,
      0.3837003341739476,
      0.3806733263797452,
      0.3776778934044444,
      0.3747136664044069,
      0.37178028191262263,
      0.3688773817680003,
      0.3660046129970496,
      0.3631616276230625,
      0.36034808252913014,
      0.357563639629781,
      0.3548079656145026,
      0.35208073182254773,
      0.3493816142229928,
      0.34671029329755904,
      0.3440664539020452,
      0.3414497852081011,
      0.3388599806491835,
      0.3362966813320028,
      0.3337593958088466,
      0.33124766659680926,
      0.32876109230515016,
      0.32629931240776505,
      0.32386199621361644,
      0.3214489548419689,
      0.31906010842450905,
      0.3166953297476142,
      0.3143544524655524,
      0.3120372833432492,
      0.309743611084781,
      0.3074732125304679,
      0.30522585699645066,
      0.30300130943420683,
      0.3007993325364558,
      0.29861968840831166,
      0.2964621395420294,
      0.29432644963462806,
      0.2922123840854667,
      0.29011971021395644,
      0.28804819768238127,
      0.285997618565057,
      0.2839677474721066,
      0.28195836163896615,
      0.2799692408803823,
      0.27800016758717955,
      0.27605092671477544,
      0.2741213059422025,
      0.2722110954672452,
      0.2703201174932765,
      0.2684482167132715,
      0.2665952255628657,
      0.2647609675927837,
      0.26294526082570796,
      0.261147920109005,
      0.25936875857374103,
      0.2576075888927496,
      0.2558642240883259,
      0.2541384778793189,
      0.25243016534581547,
      0.2507391031118998,
      0.24906510832302475,
      0.24740797049054933,
      0.24576746624374557,
      0.2441433884862902,
      0.24253554208770975,
      0.2409437410065446,
      0.23936780623374726,
      0.23780756420526533,
      0.23626284580530862,
      0.2347334855872206,
      0.23321932245600052,
      0.2317202000858641,
      0.2302359639053072,
      0.2287664607587625,
      0.2273115501807888,
      0.22587114254573576,
      0.22444515040644983,
      0.22303346842571306,
      0.22163597915744587,
      0.22025255695966311,
      0.2188830709840229,
      0.21752738716441572,
      0.2161853694406148,
      0.214856880960431,
      0.2135417847680309,
      0.2122399441467183,
      0.2109512231777642,
      0.20967548674033404,
      0.20841260088266203,
      0.20716243289029188,
      0.20592485123070603,
      0.20469972575571416,
      0.20348691988369377,
      0.20228627057213067,
      0.2010976191610727,
      0.1999208185847969,
      0.19875573039105843,
      0.19760222264466748,
      0.19646016827464313,
      0.19532944425321105,
      0.19420993071262455,
      0.19310151032758013,
      0.19200406802456693,
      0.1909174906479676,
      0.18984166665784363,
      0.18877648607487765,
      0.18772184045578286,
      0.1866776225685128,
      0.18564372640188112,
      0.18462004726832015,
      0.18360648169462282,
      0.1826029316536803,
      0.1816093029664265,
      0.18062550039634506,
      0.1796514283245942,
      0.17868699106627098,
      0.17773209309671506,
      0.17678663935428565,
      0.17585053539135087,
      0.17492368750171214,
      0.17400600285035447,
      0.17309738936417288,
      0.17219775580315946,
      0.1713070118342369,
      0.17042506810810054,
      0.16955183609755453,
      0.16868722818030776,
      0.16783115763555115,
      0.166983538707319,
      0.16614428649278737,
      0.16531331697351934,
      0.16449054694148257,
      0.16367589412495087,
      0.16286927710121396,
      0.16207061530136438,
      0.16127982899873894,
      0.16049683930679426,
      0.15972156809697444,
      0.15895393807811123,
      0.15819387278353622,
      0.15744129650978048,
      0.15669613439189622,
      0.15595831231578935,
      0.15522775690355453,
      0.15450439557114654,
      0.15378815644871144,
      0.1530789684308298,
      0.15237676107655548,
      0.15168146482368225,
      0.15099301069059357,
      0.15031133045745138,
      0.1496363308970494,
      0.1489678938283488,
      0.14830591424896916,
      0.14765029894055356,
      0.14700092324613637,
      0.14635761413537568,
      0.1457202168184039,
      0.14508860479959643,
      0.14446267244177294,
      0.1438423295514719,
      0.14322749740417084,
      0.14261810577403172,
      0.1420140906961101,
      0.14141539296506356,
      0.14082195702730335,
      0.1402337299825733,
      0.13965062201860026,
      0.13907251497027467,
      0.1384993099633595,
      0.13793092400362897,
      0.13736728591367128,
      0.136808333320131,
      0.1362540103556652,
      0.1357042660918875,
      0.1351590533221101,
      0.13461832763203208,
      0.1340820466908586,
      0.1335501699895009,
      0.13302265822918807,
      0.1324994731857471,
      0.1319805774632054,
      0.1314659343397147,
      0.13095550768582637,
      0.13044926190415934,
      0.1299471618773742,
      0.1294491729624045,
      0.12895526080203287,
      0.12846539146202487,
      0.12797953133418188,
      0.1274976470407845,
      0.1270197056578339,
      0.12654567442475012,
      0.12607552096358515,
      0.12560921312425488,
      0.12514671904050328,
      0.12468800717430893,
      0.12423304624038549,
      0.12378180515094865,
      0.12333425313916543,
      0.12289035967381694,
      0.1224500945403786,
      0.12201342785319098,
      0.12158032177801484,
      0.12115070442377973,
      0.12072450309121364,
      0.12030165738941628,
      0.11988211613395286,
      0.11946583504458427,
      0.11905277502315771,
      0.1186429007696341,
      0.11823617995336756,
      0.11783258248499319,
      0.1174320799942193,
      0.11703464533959465,
      0.1166402524664442,
      0.11624887618647563,
      0.11586049190340342,
      0.1154750755824061,
      0.11509260360745685,
      0.11471305269729046,
      0.11433639992447023,
      0.11396262269774099,
      0.11359169863097607,
      0.11322360558475238,
      0.11285832157529278,
      0.11249582490659193,
      0.11213609394720611,
      0.11177910739751547,
      0.11142484411242311,
      0.11107328314143655,
      0.11072440354641382,
      0.11037818467117758,
      0.11003460606232882,
      0.10969364742892394,
      0.10935528858375808,
      0.1090195094611971,
      0.10868629032023254,
      0.10835561142678501,
      0.10802745330881675,
      0.10770179652875972,
      0.10737862186978547,
      0.1070579102236653,
      0.1067396427082282,
      0.10642380053749417,
      0.10611036508305587,
      0.10579931787239305,
      0.10549064055600675,
      0.10518431486222123,
      0.1048803227241176,
      0.10457864629261214,
      0.10427926781696556,
      0.10398216970359217,
      0.10368733444189843,
      0.10339474464516467,
      0.10310438309144417,
      0.10281623268921888,
      0.10253027649415615
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991490590215896,
      10.788617155894267,
      10.576268904368563,
      10.356665846789909,
      10.132015979416273,
      9.904298172687515,
      9.675283547273969,
      9.446551705365398,
      9.219514850902595,
      8.995415502011884,
      8.775301396588633,
      8.560005084965317,
      8.350138717745338,
      8.146095912837312,
      7.948061740311916,
      7.756035959752569,
      7.56986155146579,
      7.389255996982496,
      7.213840384931021,
      7.043167608333785,
      6.876748703824031,
      6.7140760122074825,
      6.554642973028512,
      6.397960664829038,
      6.2435713722271915,
      6.091059540444677,
      5.940060477582154,
      5.790262832018975,
      5.6414053838765215,
      5.49328733144495,
      5.3457655724672914,
      5.198765202665343,
      5.052283542550551,
      4.906388654173433,
      4.761206280471779,
      4.616914681682637,
      4.473746480125642,
      4.331981033896644,
      4.191942621059194,
      4.053990623016698,
      3.918508184559072,
      3.785892354169884,
      3.656541116487119,
      3.530839751440556,
      3.4091504916036675,
      3.291803587875702,
      3.1790900810033973,
      3.0712564564714433,
      2.968501232307741,
      2.8709734103169193,
      2.7787726270309125,
      2.6919461913357234,
      2.610479822389037,
      2.534307693466758,
      2.463327580784773,
      2.3974067314594194,
      2.3363671519582976,
      2.2799744219202824,
      2.2279356006660858,
      2.1798863261035706,
      2.1354256791388084,
      2.0941358628199715,
      2.055617081423435,
      2.0194843461161653,
      1.9853592813903438,
      1.952930034420619,
      1.9219543873936438,
      1.892242005398953,
      1.8636443682503072,
      1.8360455472067738,
      1.8093425749170629,
      1.7834456501621625,
      1.7582839235118035,
      1.7338018232196004,
      1.7099537285060236,
      1.6867012293817296,
      1.6640127110612302,
      1.6418633662735738,
      1.6202316281603293,
      1.5990970339513293,
      1.5784401660523084,
      1.5582425927224264,
      1.5384868120290824,
      1.5191561988248283,
      1.5002349543023654,
      1.4817080582081974,
      1.4635612245251473,
      1.4457808586559717,
      1.42835401802678,
      1.411268375305587,
      1.3945121828457083,
      1.3780743569748848,
      1.3619447814369396,
      1.3461137623012691,
      1.3305716318545064,
      1.3153089923565602,
      1.300316865333052,
      1.285586668766704,
      1.271110195018589,
      1.256879590771314,
      1.2428873379869723,
      1.2291262366411053,
      1.2155893878476096,
      1.202270178114975,
      1.189162264752641,
      1.1762595623875929,
      1.1635563963231192,
      1.1510475115906014,
      1.1387281967600043,
      1.126594013959668,
      1.1146405570185196,
      1.1028637607594038,
      1.091259733080868,
      1.0798245476394963,
      1.068554285577199,
      1.0574450668879238,
      1.0464930720838124,
      1.0356945576504506,
      1.0250458666349453,
      1.0145434358057825,
      1.004183799136323,
      0.993963589902328,
      0.9838795416438915,
      0.9739284870167754,
      0.9641073566069137,
      0.9544131768782981,
      0.9448430675408142,
      0.9353942392324398,
      0.9260639904756041,
      0.9168498193391089,
      0.9077501228678109,
      0.8987640633344562,
      0.8898912703875211,
      0.8811310982839259,
      0.8724824772478915,
      0.8639440518274136,
      0.8555142439571728,
      0.8471913371181979,
      0.8389735624732123,
      0.8308591283722486,
      0.8228462410383083,
      0.8149331188332382,
      0.8071180018827141,
      0.7993991078623323,
      0.7917742307194304,
      0.7842410538604954,
      0.776797493418768,
      0.7694416438005544,
      0.7621717380379447,
      0.7549861193349712,
      0.7478832198802852,
      0.7408615453076386,
      0.7339196633506553,
      0.7270561948148667,
      0.7202698074131327,
      0.7135592108026235,
      0.7069231525146207,
      0.7003604152050948,
      0.6938698141847203,
      0.6874501953548503,
      0.6811004337039707,
      0.6748196571127926,
      0.6686073560331193,
      0.6624629357298756,
      0.6563856853695337,
      0.65037481707898,
      0.6444296108698218,
      0.6385497600180362,
      0.6327349049642257,
      0.626984513745086,
      0.6212979390236016,
      0.6156744572517715,
      0.6101132965260609,
      0.6046136562755567,
      0.5991747208045802,
      0.5937956690234202,
      0.5884756807822618,
      0.5832139412816094,
      0.5780096444156086,
      0.5728619949342052,
      0.567770209409582,
      0.562733517157451,
      0.557751160686117,
      0.5528223961111501,
      0.5479465122819258,
      0.5431233064251942,
      0.538352822080685,
      0.5336348726383218,
      0.5289691152100362,
      0.5243551011459402,
      0.5197923113598061,
      0.5152801812368759,
      0.5108181178006557,
      0.506405511614533,
      0.5020417451881527,
      0.49772619914033783,
      0.49345825575810315,
      0.48923730169651475,
      0.48506272967632,
      0.48093394023089586,
      0.4768503419826418,
      0.4728113520806545,
      0.46881639680148895,
      0.46486491142736025,
      0.4609563403433607,
      0.4570901370759359,
      0.45326576391766793,
      0.4494826920547672,
      0.4457404012318235,
      0.44203837981885996,
      0.43837612454465885,
      0.43475314030347395,
      0.431168939857357,
      0.42762304379036914,
      0.42411498051216584,
      0.420644285853895,
      0.4172105029428626,
      0.413813182102056,
      0.4104518806732903,
      0.4071261629168099,
      0.4038355998356512,
      0.40057976912735976,
      0.39735825483255455,
      0.39417064726390794,
      0.39101654298762195,
      0.3878955446033345,
      0.3848072606788709,
      0.38175130561071824,
      0.3787272994108211,
      0.3757348677501979,
      0.37277364177659533,
      0.36984325801157525,
      0.36694335825059193,
      0.3640735893395866,
      0.3612336032849403,
      0.35842305708781,
      0.35564161253136667,
      0.3528889361748859,
      0.3501646992248582,
      0.34746857768991957,
      0.3448002519041398,
      0.3421594065887786,
      0.33954573094315144,
      0.3369588790042149,
      0.3343983622048297,
      0.3318637095622673,
      0.3293545091769524,
      0.3268703919417765,
      0.32441102009363865,
      0.32197612091100786,
      0.31956559473084156,
      0.31717934035105066,
      0.31481720869519375,
      0.3124790177846335,
      0.31016456328084696,
      0.3078736258459267,
      0.3056059766212778,
      0.30336138085695263,
      0.3011396005327901,
      0.29894039620954166,
      0.29676352848655996,
      0.29460875879108467,
      0.29247584987205116,
      0.2903645664321286,
      0.28827467539207113,
      0.28620594604285765,
      0.2841581500993901,
      0.28213106189741116,
      0.2801244583911765,
      0.27813811925753706,
      0.2761718266487534,
      0.27422536544596315,
      0.272298523072599,
      0.2703911110867249,
      0.26850297090699093,
      0.26663393544086267,
      0.26478382795993516,
      0.26295246558562907,
      0.2611396616411581,
      0.25934522760344597,
      0.257568974192102,
      0.2558107123246652,
      0.25407025358532714,
      0.25234741093457014,
      0.25064199878438137,
      0.24895383305012228,
      0.24728270207781924,
      0.2456283793060474,
      0.24399065466453584,
      0.2423693303833018,
      0.24076421791642913,
      0.23917513590331013,
      0.2376019084975681,
      0.23604436441408122,
      0.23450233616856517,
      0.23297566152978083,
      0.2314641822676197,
      0.22996774167953837,
      0.22848618451256555,
      0.22701939320070078,
      0.22556728538464652,
      0.22412976208835944,
      0.2227067093725578,
      0.22129800315466727,
      0.2199035125887377,
      0.21852310265456568,
      0.2171566358006745,
      0.2158039730793667,
      0.2144649750206457,
      0.21313950238787394,
      0.21182741637285152,
      0.21052857907090772,
      0.20924285360157424,
      0.20797010432092675,
      0.20671019676970184,
      0.20546299777748667,
      0.20422837476910513,
      0.20300617161633658,
      0.20179622099054567,
      0.20059836892618976,
      0.19941247124094333,
      0.19823839117736725,
      0.19707599765693357,
      0.19592516387274087,
      0.19478576658442492,
      0.19365768527289268,
      0.19254080192791237,
      0.1914350006025174,
      0.19034016707610954,
      0.18925618877778275,
      0.18818295468949756,
      0.18712035516521205,
      0.186068281830737,
      0.18502662764053515,
      0.18399528676035354,
      0.1829741544793568,
      0.18196312731655268,
      0.1809621044916448,
      0.17997099144296722,
      0.17898969392704955,
      0.17801811690375863,
      0.17705616504543092,
      0.176103743129573,
      0.17516075639318038,
      0.1742271104427696,
      0.17330271168716435,
      0.17238746725081164,
      0.17148128515679387,
      0.17058407415622634,
      0.1696957439290572,
      0.16881620500780453,
      0.16794536893327816,
      0.16708314812096253,
      0.1662294557811763,
      0.16538420610268123,
      0.16454731412777243,
      0.16371869584023183,
      0.16289826802110585,
      0.16208594842512836,
      0.16128165553426113,
      0.1604853087273262,
      0.1596968282806054,
      0.15891613523821116,
      0.15814315147572247,
      0.15737779968415486,
      0.15662000333727222,
      0.15586968673201748,
      0.15512677499965238,
      0.15439119399905235,
      0.15366287033962708,
      0.15294173141968834,
      0.15222770533387758,
      0.1515207209992696,
      0.15082070805545125,
      0.15012759679242457,
      0.14944131829078713,
      0.14876177390496018,
      0.14808884370519082,
      0.14742242331706876,
      0.14676241392659445,
      0.1461086672752452,
      0.14546100733824985,
      0.14481928719002288,
      0.14418338605718814,
      0.14355320235716718,
      0.14292864865545304,
      0.14230964809565474,
      0.14169613157673291,
      0.14108803603473674,
      0.14048530264584647,
      0.13988787602558353,
      0.13929570332010074,
      0.13870871535747353,
      0.1381267969295778,
      0.1375498418008363,
      0.13697776140063944,
      0.13641048035691955,
      0.1358479330728509,
      0.13529006119357442,
      0.13473681187693964,
      0.1341881364035201,
      0.13364398912049583,
      0.13310432672164846,
      0.13256910774013939,
      0.13203829221966062,
      0.13151184128355126,
      0.13098971691769204,
      0.13047188194122913,
      0.12995829982134682,
      0.1294489344650919,
      0.12894375035625377,
      0.1284427124144278,
      0.1279457858749916,
      0.12745293641817357,
      0.12696413003882798,
      0.1264793330257434,
      0.12599851207549234,
      0.12552163407685485,
      0.12504866628429856,
      0.12457957625707036,
      0.12411433178692532,
      0.12365290099198649,
      0.12319525222091562,
      0.12274135407892861,
      0.122291175454658,
      0.12184468552891817,
      0.12140185379093094,
      0.12096264992215644,
      0.12052703419505463,
      0.120094931921355,
      0.11966627096636268,
      0.119240991209088,
      0.11881904161351972,
      0.11840037792683354,
      0.117984960951057,
      0.11757275531138506,
      0.11716372855725067,
      0.11675785045908468,
      0.11635509240920774,
      0.1159554270897423,
      0.11555882826629926,
      0.11516527057320969,
      0.1147747291811076,
      0.11438717981016192,
      0.11400259856723857,
      0.11362096196900084,
      0.11324224686475723,
      0.11286643043060007,
      0.11249348999307084,
      0.11212340317123022,
      0.11175614778468938,
      0.11139170190862299,
      0.11103004373882853,
      0.11067115172459081,
      0.11031500446684957,
      0.10996158082080958,
      0.10961085969383544,
      0.10926282025733836,
      0.10891744180313678,
      0.10857470379770778,
      0.10823458586689463,
      0.10789706777495547,
      0.10756212943600459,
      0.1072297509703961,
      0.10689991267293007,
      0.10657259494983323,
      0.10624777842796744,
      0.10592544383578147,
      0.1056055720501657,
      0.10528814406739866,
      0.10497314105736742,
      0.10466054435459339,
      0.10435033543740635,
      0.1040424959711863,
      0.10373700767415991,
      0.10343385245689897,
      0.10313301238452925,
      0.10283446967125574,
      0.10253820664362932,
      0.10224420574249939,
      0.10195244955706237,
      0.10166292082142075,
      0.10137560241161259,
      0.10109047736227318
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.99147911133406,
      10.788565174813506,
      10.57615399685202,
      10.356470859429367,
      10.131729137796416,
      9.903912141543456,
      9.674795362770748,
      9.445961284907266,
      9.218823778342196,
      8.994626333328462,
      8.774417549156983,
      8.55903030939969,
      8.349076645526546,
      8.144949600713323,
      7.946833568023986,
      7.754727681383107,
      7.568474278530968,
      7.38779023081909,
      7.212295990708339,
      7.041543906743563,
      6.875044591533694,
      6.712290100736088,
      6.552773742733236,
      6.3960066258094175,
      6.24153122876493,
      6.088932355608237,
      5.937845835484531,
      5.787961057536011,
      5.639017638395515,
      5.490815488085349,
      5.343212655393109,
      5.196135385117702,
      5.049582222448582,
      4.903622493412643,
      4.758383122300655,
      4.6140435718778265,
      4.470837949232435,
      4.329046774772292,
      4.188995142257544,
      4.05104302940492,
      3.915573966923526,
      3.782985142399943,
      3.653674303849176,
      3.528026223641728,
      3.4064023759965103,
      3.2891320520535343,
      3.176505149765024,
      3.0687668251747393,
      2.966114217244867,
      2.8686949081775475,
      2.77660711609318,
      2.6898960780951437,
      2.608545264866213,
      2.5324874601202545,
      2.4616195397070433,
      2.395807644577142,
      2.334871384755831,
      2.2785740639564884,
      2.226620151025949,
      2.1786432590710065,
      2.1342419136997557,
      2.092998435952871,
      2.0545139726135266,
      2.0184036666634624,
      1.984291054933788,
      1.9518667699538323,
      1.9208905366821507,
      1.891173395036141,
      1.862567869583809,
      1.8349587804389476,
      1.8082436927908823,
      1.7823334050077215,
      1.7571573910628744,
      1.732660357492603,
      1.7087969482480898,
      1.6855289447320236,
      1.6628244539768962,
      1.64065837597197,
      1.6190093254394984,
      1.59785705159725,
      1.577182296527693,
      1.5569667485292906,
      1.5371929950302838,
      1.5178444764203758,
      1.4989054414123113,
      1.4803609037510672,
      1.4621966008715674,
      1.4443989541608147,
      1.426955031112824,
      1.409852509740059,
      1.3930796445615559,
      1.3766253669794304,
      1.36047958315171,
      1.3446325223133362,
      1.3290744496151894,
      1.3137959878001402,
      1.2987881726914188,
      1.2840424316026124,
      1.2695505629295387,
      1.255304716793939,
      1.241297376952804,
      1.227521343463494,
      1.2139697161430243,
      1.2006358796639014,
      1.187513489136821,
      1.1745964563434217,
      1.161879120562268,
      1.149356245757514,
      1.1370231419118237,
      1.124875354654331,
      1.112908516140318,
      1.1011186315725006,
      1.0895017670282334,
      1.0780539639109112,
      1.0667712780466068,
      1.0556498093990745,
      1.04468572274973,
      1.0338752621199885,
      1.0232147605841784,
      1.012700646299655,
      1.0023294468462403,
      0.9920977903504876,
      0.9820024058315039,
      0.9720401221493592,
      0.9622078668148811,
      0.9525026634250843,
      0.9429216293326257,
      0.9334619729173227,
      0.9241209908950838,
      0.9148967412632001,
      0.9057881607110101,
      0.8967947578516308,
      0.8879159752564668,
      0.8791507884370925,
      0.8704978573603216,
      0.8619556313701919,
      0.8535223916495559,
      0.8451963245642591,
      0.8369755919393157,
      0.8288583526537308,
      0.820842777699181,
      0.8129270604289577,
      0.8051094233600955,
      0.7973879879428581,
      0.7897604138371693,
      0.782224438000443,
      0.7747780151224871,
      0.7674192673420444,
      0.7601464480166259,
      0.7529579148852407,
      0.7458521107905419,
      0.7388275491734544,
      0.7318828033483045,
      0.7250164982935092,
      0.7182273049714178,
      0.7115139349827821,
      0.7048751375096378,
      0.6983096964850152,
      0.6918164280661561,
      0.6853941788948933,
      0.6790418844777003,
      0.6727589026979768,
      0.6665447014992922,
      0.6603986084315309,
      0.6543198568316053,
      0.6483076502161202,
      0.642361559599781,
      0.636481290381605,
      0.6306663501867795,
      0.6249161136222383,
      0.6192298671564883,
      0.6136068406685068,
      0.6080462293763725,
      0.6025472095734096,
      0.5971089494433515,
      0.5917306162640145,
      0.5864113817796788,
      0.5811504258132573,
      0.5759469384640198,
      0.5708001216385206,
      0.5657091898716332,
      0.5606733712833694,
      0.5556919076089144,
      0.5507640541443865,
      0.5458893959064418,
      0.5410679644949298,
      0.536299637368782,
      0.5315841124204947,
      0.5269209658298488,
      0.5223096922319523,
      0.5177497329285179,
      0.5132404954153863,
      0.5087813671923167,
      0.5043717255305896,
      0.5000109438426698,
      0.49569839587285724,
      0.49143345922573384,
      0.48721551743128866,
      0.4830439613703805,
      0.47891819001549585,
      0.4748376109234952,
      0.4708016407389023,
      0.4668097053280577,
      0.4628612397761792,
      0.4589556884008475,
      0.4550925045292797,
      0.45127115049780725,
      0.44749109744249094,
      0.44375182521189005,
      0.4400528221743029,
      0.43639358504691533,
      0.4327736187220779,
      0.42919243604047824,
      0.4256495576894699,
      0.4221445120489144,
      0.41867683501070063,
      0.41524606977234196,
      0.41185176668069223,
      0.40849348310146466,
      0.4051707832887171,
      0.401883238305916,
      0.3986304256430452,
      0.395411929317837,
      0.3922273397237941,
      0.38907625345524544,
      0.3859582730323077,
      0.3828730069074637,
      0.37982006947446967,
      0.3767990807239494,
      0.373809666384893,
      0.37085145750981197,
      0.36792409054610553,
      0.36502720718128007,
      0.3621604542936901,
      0.3593234839066039,
      0.3565159528157994,
      0.353737522703405,
      0.3509878600776776,
      0.3482666361916042,
      0.34557352683860737,
      0.3429082123049632,
      0.34027037722438647,
      0.3376596839124678,
      0.335075656812896,
      0.3325178097521348,
      0.3299857190632906,
      0.3274790062255355,
      0.32499732575254514,
      0.3225403565124783,
      0.32010792960554213,
      0.3176999721728926,
      0.3153163554110556,
      0.31295691057923625,
      0.31062144168251077,
      0.3083097343063778,
      0.30602156204786046,
      0.30375669096078123,
      0.30151488252848924,
      0.2992958961925946,
      0.297099490658505,
      0.2949254250008,
      0.29277345958498174,
      0.2906433565554512,
      0.28853487995453975,
      0.28644779613538834,
      0.2843818739738443,
      0.28233688495700576,
      0.28031260318676043,
      0.2783088053749983,
      0.27632527093235454,
      0.2743617818712851,
      0.2724181228537563,
      0.270494094227587,
      0.2685895339086895,
      0.2667042755739891,
      0.2648381422778191,
      0.26299095019395213,
      0.2611625113356019,
      0.2593526354033266,
      0.25756113127678404,
      0.2557878077873575,
      0.25403247437242665,
      0.25229494172797184,
      0.2505750220683672,
      0.2488725290577172,
      0.24718725113496126,
      0.24551895936893425,
      0.2438674404031088,
      0.24223249343634243,
      0.24061392727721126,
      0.23901155801678628,
      0.23742520743879586,
      0.235854701982824,
      0.2342998723073864,
      0.2327605548262855,
      0.23123658914203934,
      0.22972781632922698,
      0.228234088487598,
      0.2267553091683116,
      0.22529138876463015,
      0.2238422188788515,
      0.22240767828738503,
      0.22098763719983278,
      0.21958196036386315,
      0.21819050902813097,
      0.216813142457299,
      0.21544971899268525,
      0.21410009685294712,
      0.21276413458942364,
      0.2114416914008182,
      0.2101326275124785,
      0.20883680416357822,
      0.20755408392743513,
      0.2062843306919955,
      0.2050274096945899,
      0.20378317643319768,
      0.20255146124123613,
      0.2013321016730792,
      0.20012494679049805,
      0.1989298540677052,
      0.19774668762541123,
      0.19657531646302112,
      0.19541561365037688,
      0.19426745538076687,
      0.1931307204676344,
      0.19200528996469765,
      0.19089104686991934,
      0.18978787589947535,
      0.18869566335646093,
      0.18761429700496368,
      0.18654366598649857,
      0.18548366080484877,
      0.18443417318789534,
      0.18339509609329688,
      0.18236632375624148,
      0.18134775148680307,
      0.1803392757760486,
      0.179340794443956,
      0.1783522110404678,
      0.17737343218266247,
      0.17640436341471052,
      0.17544490996057396,
      0.17449497695306462,
      0.17355446971290683,
      0.17262329412953065,
      0.17170135668728662,
      0.17078856453156496,
      0.16988482558771184,
      0.16899004879705015,
      0.16810414379617597,
      0.16722702112038604,
      0.16635859230809755,
      0.16549876966507324,
      0.1646474664002105,
      0.1638045966752004,
      0.16297007552375758,
      0.16214381885655435,
      0.16132574348188264,
      0.16051576702741238,
      0.15971380799193263,
      0.15891978576207413,
      0.15813362056814706,
      0.1573552334750205,
      0.1565845462993667,
      0.15582148175188648,
      0.1550659633157451,
      0.1543179152292474,
      0.1535772626047885,
      0.15284393120094666,
      0.15211784759755867,
      0.15139893922100728,
      0.1506871342641584,
      0.14998236157096373,
      0.1492845507332553,
      0.14859363171305837,
      0.1479095017452215,
      0.1472320397559831,
      0.14656114150498523,
      0.14589669998991872,
      0.14523854514772444,
      0.14458650336161438,
      0.14394043401751708,
      0.14330022075914864,
      0.14266576513525883,
      0.14203698193143,
      0.14141379578070823,
      0.14079613856915127,
      0.14018394767045847,
      0.13957716455806252,
      0.13897573386533976,
      0.1383796027378094,
      0.13778871568081946,
      0.13720297323554115,
      0.1366222599836983,
      0.13604648063290714,
      0.13547555467529807,
      0.13490941263906464,
      0.134347993285908,
      0.13379124141887305,
      0.13323910654683685,
      0.13269154160531818,
      0.13214850211023652,
      0.13160994570955176,
      0.13107583158403985,
      0.13054612015922792,
      0.13002077287937544,
      0.12949975196619112,
      0.12898302034566075,
      0.1284705415460651,
      0.12796227961701676,
      0.1274581990378699,
      0.126958264634045,
      0.12646244164719317,
      0.12597069574351574,
      0.12548299278802008,
      0.12499929907752672,
      0.12451958121917411,
      0.12404380609912771,
      0.12357194085210764,
      0.12310395300366334,
      0.1226398103595205,
      0.12217948081317061,
      0.12172293268173573,
      0.12127013458533996,
      0.12082105543585328,
      0.12037566431221637,
      0.11993393059704817,
      0.11949581368737798,
      0.11906123745806774,
      0.11863012952681956,
      0.11820242963140755,
      0.11777808650970607,
      0.11735705567359042,
      0.11693929768584539,
      0.11652477695929139,
      0.11611346081892854,
      0.11570531875323396,
      0.11530032204952713,
      0.1148984431431789,
      0.11449965556317125,
      0.11410393356993763,
      0.11371125208240601,
      0.11332158659477337,
      0.11293491303821268,
      0.11255120765702387,
      0.11217044712765964,
      0.11179260837402864,
      0.11141766844094926,
      0.11104560473083784,
      0.11067639484063,
      0.11031001658418124,
      0.10994644799636685,
      0.10958566727426682,
      0.10922765280822924,
      0.10887238316254698,
      0.1085198370630855,
      0.10816999348133059,
      0.10782283148991997,
      0.10747833034139896,
      0.1071364694522941,
      0.10679722841296485,
      0.1064605869856796,
      0.10612652505222443,
      0.10579502272119093,
      0.1054660602451481,
      0.10513961795745713,
      0.1048156763175585,
      0.10449421603293557,
      0.10417521797221996,
      0.10385866316801942,
      0.10354453276293923,
      0.10323280798795038,
      0.10292347031277253,
      0.10261650128546602,
      0.10231188264586231,
      0.10200959626794479,
      0.10170962419187465,
      0.10141194858647953,
      0.10111655173793112,
      0.10082341608953574,
      0.10053252414863191,
      0.10024386378529446,
      0.09995744985946281,
      0.09967330092073905
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991467645676508,
      10.788513235335875,
      10.576039156547132,
      10.356275967981643,
      10.131442423455379,
      9.903526265508086,
      9.6743073409336,
      9.445371008177604,
      9.218132805667478,
      8.993837196360378,
      8.77353359447698,
      8.558055267989701,
      8.348014133175427,
      8.143802629656394,
      7.945604517263418,
      7.753418306962878,
      7.567085693545469,
      7.386322938257464,
      7.210749857908204,
      7.039918257885666,
      6.873338327151682,
      6.710501838317974,
      6.5509019697810835,
      6.394049860411075,
      6.239488184606606,
      6.086802106615074,
      5.935627977552841,
      5.785655926369686,
      5.636626405177009,
      5.4883400676657805,
      5.340656083669836,
      5.19350184990073,
      5.046877139070505,
      4.900852541994229,
      4.75555616159132,
      4.611168661908669,
      4.46792563463314,
      4.326108762010354,
      4.186043951754451,
      4.048091774504579,
      3.9126361403250614,
      3.780074368540415,
      3.650803966738899,
      3.5252091964596444,
      3.4036507702503522,
      3.2864570374143094,
      3.1739168213082287,
      3.0662738695255802,
      2.9637239180340393,
      2.866413130994662,
      2.774438310838892,
      2.6878426284695918,
      2.6066073112106105,
      2.530663756454992,
      2.4599079449388515,
      2.3942049198467332,
      2.3333719006364437,
      2.2771696596569013,
      2.2253003799950917,
      2.1773956630707785,
      2.1330534632727813,
      2.091856229432444,
      2.0534060683716318,
      2.0173182237629,
      1.9832181706685499,
      1.9507990093574137,
      1.9198223924210374,
      1.890100731583835,
      1.8614875843806824,
      1.8338685021393275,
      1.8071415758965559,
      1.7812182017968547,
      1.7560282251447645,
      1.7315165649482498,
      1.70763813259795,
      1.6843549031589746,
      1.6616348182875176,
      1.6394524494308205,
      1.6177864764226555,
      1.5966168714865352,
      1.5759245452290735,
      1.5556913119419302,
      1.5358998529921974,
      1.5165336783163075,
      1.4975770878375598,
      1.4790151320058997,
      1.4608335736822484,
      1.443018851527458,
      1.4255580441137137,
      1.408438835832001,
      1.3916494843220713,
      1.3751789506698981,
      1.3590171470054417,
      1.3431541972999648,
      1.3275803377221802,
      1.3122862103945925,
      1.29726286450709,
      1.2825017361971558,
      1.2679946296079978,
      1.253733697926962,
      1.2397114259909596,
      1.2259206135933216,
      1.2123543595817967,
      1.1990060468784083,
      1.1858693278816033,
      1.1729381180434089,
      1.1602067685581767,
      1.147670055496869,
      1.135323311218641,
      1.1231620653151613,
      1.111182024965986,
      1.0993792183087132,
      1.0877496726274625,
      1.0762893986140059,
      1.0649944288749673,
      1.0538608447760005,
      1.0428847962391399,
      1.0320625156924426,
      1.0213903269049862,
      1.0108646508039714,
      1.000482008535287,
      0.990239023140421,
      0.9801324193879616,
      0.9701590227170751,
      0.9603157572804043,
      0.9505996440360635,
      0.9410077980573778,
      0.9315374257503766,
      0.9221862620742314,
      0.912952921042653,
      0.9038367003333457,
      0.8948370900893012,
      0.8859531311989498,
      0.8771835128266211,
      0.8685266904463529,
      0.8599809654178447,
      0.8515445118858262,
      0.8432154430481417,
      0.834991868628309,
      0.8268719106859354,
      0.8188537137901488,
      0.8109354524940064,
      0.8031153358878701,
      0.795391329778398,
      0.7877610459485297,
      0.7802222699800272,
      0.7727729918592214,
      0.7654113594867871,
      0.7581356447902106,
      0.7509442188561263,
      0.7438355344564136,
      0.7368081123212913,
      0.729860530906735,
      0.7229914190279114,
      0.7161994501283948,
      0.7094833380002779,
      0.7028418334689753,
      0.6962737216091515,
      0.6897778194155292,
      0.6833529741328456,
      0.6769983151041793,
      0.6707133181533915,
      0.6644973607943386,
      0.658349705756771,
      0.6522695401628197,
      0.6462562852128396,
      0.6403096585377089,
      0.6344292187937773,
      0.6286143706444528,
      0.6228644161477197,
      0.6171785904256806,
      0.611556087094795,
      0.6059960760032402,
      0.6004977153936613,
      0.5950601606687826,
      0.589682570273207,
      0.5843641098842955,
      0.5791039549781705,
      0.5739012926739369,
      0.5687553226861801,
      0.5636652582321341,
      0.5586303265433022,
      0.5536497685276558,
      0.5487229721939436,
      0.543849892103786,
      0.5390304787941619,
      0.5342644771651678,
      0.5295514923895527,
      0.5248910355237598,
      0.5202825556944798,
      0.5157254623255668,
      0.511219140634076,
      0.5067629626355031,
      0.502356294612862,
      0.4979985022965044,
      0.49368895438498783,
      0.4894270249801389,
      0.48521209522574,
      0.48104355420829586,
      0.47692079973515655,
      0.4728432385874855,
      0.46881028698783395,
      0.46482137039526966,
      0.46087592379981457,
      0.4569733912962877,
      0.45311322615961835,
      0.4492948908634062,
      0.4455178566102611,
      0.4417816032387868,
      0.43808561907578025,
      0.43442940091213256,
      0.4308124536456314,
      0.42723429017596276,
      0.42369443127214296,
      0.4201924052862514,
      0.41672774822236497,
      0.4133000032708787,
      0.4099087206982464,
      0.4065534578894742,
      0.40323377911119374,
      0.39994925545361243,
      0.3966994643668679,
      0.39348398988501315,
      0.3903024223171336,
      0.3871543581440938,
      0.3840393999682179,
      0.38095715623589,
      0.37790724126818986,
      0.3748892751159788,
      0.37190288323976484,
      0.3689476967517953,
      0.3660233520767715,
      0.3631294907427046,
      0.3602657595565812,
      0.35743181040212435,
      0.3546273001435195,
      0.35185189032898984,
      0.34910524750891686,
      0.3463870427949161,
      0.3436969518557307,
      0.3410346548406576,
      0.33839982349000264,
      0.33579199755178946,
      0.33321067441546376,
      0.33065541775046237,
      0.3281258389451594,
      0.32562158427879684,
      0.323142325760459,
      0.3206878036295743,
      0.3182579304493461,
      0.31585260390829023,
      0.31347167308276414,
      0.3111149535706044,
      0.30878223818103406,
      0.3064733046320276,
      0.30418792081781276,
      0.3019258486207382,
      0.29968684666291734,
      0.29747067209721695,
      0.29527708206791997,
      0.293105834515633,
      0.2909566888767759,
      0.288829406578972,
      0.2867237513082901,
      0.28463948899916797,
      0.2825763882339755,
      0.2805342202268462,
      0.2785127588117884,
      0.2765117805625341,
      0.2745310646628918,
      0.2725703929219995,
      0.2706295571565169,
      0.2687083872219848,
      0.2668067180112332,
      0.2649243726189758,
      0.2630611665458961,
      0.26121691053330104,
      0.25939141273968624,
      0.25758448010218,
      0.25579591951129704,
      0.25402553833297625,
      0.2522731450179046,
      0.25053854941856213,
      0.2488215631334612,
      0.2471219752055821,
      0.24543955438408918,
      0.2437740836406066,
      0.24212535912198177,
      0.24049318671133518,
      0.23887737993332914,
      0.23727775816546282,
      0.23569414554295914,
      0.23412637089619695,
      0.23257426910389836,
      0.23103767750420207,
      0.22951643495966426,
      0.22801041134767658,
      0.2265195196551906,
      0.2250436596104239,
      0.2235827146310435,
      0.22213655722343564,
      0.22070505265937881,
      0.21928806152880365,
      0.21788544171358096,
      0.21649704958557872,
      0.2151227408663151,
      0.2137623714441334,
      0.21241579780879888,
      0.21108287720673466,
      0.2097634678990718,
      0.20845742944771875,
      0.20716462267380265,
      0.2058849097847834,
      0.20461815318290266,
      0.20336419103309525,
      0.2021228507800109,
      0.20089397357921937,
      0.19967741063762035,
      0.19847302053475133,
      0.1972806676904117,
      0.19610022113311845,
      0.19493155336141918,
      0.1937745398662376,
      0.19262905861263369,
      0.1914949896443419,
      0.19037221482259356,
      0.18926061772353103,
      0.1881600835411519,
      0.18707049879183815,
      0.1859917514431872,
      0.18492373075459548,
      0.18386632728733018,
      0.1828194328299021,
      0.1817829403524967,
      0.1807567440289453,
      0.17974073919886505,
      0.17873482232064983,
      0.17773889091556982,
      0.17675284591860116,
      0.17577659385296693,
      0.1748100411360333,
      0.17385309346172406,
      0.172905656349142,
      0.17196763544810273,
      0.17103893681901627,
      0.1701194670740271,
      0.16920913340498636,
      0.16830784382960665,
      0.16741550722370366,
      0.16653203329274982,
      0.16565733255885615,
      0.1647913165157058,
      0.16393389751951992,
      0.16308498874669417,
      0.16224450428113113,
      0.16141235921744207,
      0.16058846939857108,
      0.15977275153762424,
      0.15896512333006682,
      0.1581655031871477,
      0.15737381046842563,
      0.15658996536107883,
      0.1558138889017645,
      0.15504550295088554,
      0.15428473015684163,
      0.15353149398646299,
      0.15278571863119217,
      0.15204732915736463,
      0.15131625143048694,
      0.15059241204251717,
      0.149875738330493,
      0.14916615841059042,
      0.1484636011002556,
      0.14776799454611128,
      0.1470792333277735,
      0.1463971961310268,
      0.1457217782227548,
      0.14505285714529406,
      0.14439024938917736,
      0.14373378781209992,
      0.14308333640533155,
      0.14243878202635074,
      0.14180002848478257,
      0.14116699204208497,
      0.14053959821870277,
      0.13991777950192472,
      0.139301473538531,
      0.138690621830534,
      0.13808516895453393,
      0.13748506175476433,
      0.1368902488247004,
      0.13630065474980152,
      0.1357161632844328,
      0.13513667033146537,
      0.1345620889168516,
      0.13399234467194765,
      0.13342737254757855,
      0.13286711459457143,
      0.13231151805135885,
      0.1317605341387158,
      0.13121411708600475,
      0.1306722232963449,
      0.13013481107964664,
      0.1296018401384737,
      0.1290732711737956,
      0.12854906585087464,
      0.12802918642504163,
      0.12751359596769907,
      0.1270022580611007,
      0.1264951367494645,
      0.1259921964790493,
      0.12549340206512333,
      0.12499871882582636,
      0.1245081122976906,
      0.12402154834674685,
      0.12353899322980133,
      0.12306041344070892,
      0.12258577587589603,
      0.1221150476446567,
      0.12164819614797628,
      0.12118518903063515,
      0.12072599426171564,
      0.12027058010180082,
      0.11981891504572756,
      0.11937096789338837,
      0.11892670771996093,
      0.11848609392886418,
      0.11804905036551722,
      0.11761550385690456,
      0.11718539347637064,
      0.1167586674719169,
      0.11633528094263526,
      0.11591519401234683,
      0.11549837077326357,
      0.11508477813049453,
      0.11467438531916307,
      0.11426716318865009,
      0.11386308382372715,
      0.11346212053967292,
      0.11306424739830728,
      0.11266943909618052,
      0.11227767086771664,
      0.1118889183523408,
      0.11150315757760756,
      0.11112036488008081,
      0.11074051695478522,
      0.11036359068959586,
      0.10998956325484692,
      0.10961841209228915,
      0.10925011471402207,
      0.10888464893449881,
      0.10852199274723309,
      0.10816212427866434,
      0.10780502183149789,
      0.10745066392865162,
      0.10709902931990029,
      0.10675009687493381,
      0.10640384568033302,
      0.1060602549338005,
      0.105719304042495,
      0.1053809725056291,
      0.10504523998851009,
      0.10471208639694946,
      0.10438149178735162,
      0.1040534363155653,
      0.10372790035120656,
      0.10340486438968025,
      0.10308430902782842,
      0.10276621514393083,
      0.1024505636203923,
      0.10213733561373428,
      0.10182651235481538,
      0.101518075203745,
      0.10121200625216892,
      0.1009083136046424,
      0.1006070202968743,
      0.10030813783598598,
      0.10001166946668039,
      0.09971761230906216,
      0.09942595896378446,
      0.0991366987686998,
      0.09884981872486837,
      0.09856530410810609,
      0.09828313895934795
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991456198126054,
      10.788461359025536,
      10.575924433987696,
      10.356081270629542,
      10.131155995007969,
      9.903140828667128,
      9.673819729753939,
      9.444781101306766,
      9.217442147451036,
      8.993048307182018,
      8.772649726107986,
      8.557080147570247,
      8.346951372760277,
      8.142655242724976,
      7.944374889510546,
      7.752108200655798,
      7.565696227308068,
      7.384854618599037,
      7.209202557317866,
      7.038291305263597,
      6.871630629029589,
      6.708712018834485,
      6.549028523288958,
      6.39209131312856,
      6.237443260145284,
      6.084669890224374,
      5.9334080782495455,
      5.783348692047303,
      5.63423301667813,
      5.485862511991663,
      5.338097406499484,
      5.1908662505716485,
      5.044170045451365,
      4.898080648134063,
      4.752727335677531,
      4.6082919713818375,
      4.465011631342777,
      4.323169157560673,
      4.1830912685867565,
      4.045139124616231,
      3.909697009006496,
      3.777162363926488,
      3.647932453890389,
      3.522391025823831,
      3.400898028072539,
      3.283780866136213,
      3.1713272912270187,
      3.063779643167911,
      2.9613322514957257,
      2.864129864065046,
      2.7722678698824113,
      2.6857873807132755,
      2.604667386390499,
      2.5288379018949976,
      2.4581940177049937,
      2.392599686965936,
      2.3318696028796855,
      2.275761872854017,
      2.223976745269457,
      2.1761438241359876,
      2.1318604999020248,
      2.090709345711092,
      2.052293418989614,
      2.0162279963803824,
      1.9821405127645249,
      1.9497265727195159,
      1.9187497325130016,
      1.889023758021164,
      1.8604032266350288,
      1.8327744096430223,
      1.8060359140729616,
      1.7800997278436481,
      1.7548960643847316,
      1.73037005375242,
      1.7064768733062132,
      1.683178689798726,
      1.6604433948685586,
      1.63824508482382,
      1.6165625132492896,
      1.5953758803148275,
      1.5746662682139176,
      1.5544156208013409,
      1.534606716082432,
      1.515223135111345,
      1.4962492295124104,
      1.477670087119253,
      1.4594714973374698,
      1.4416399168445542,
      1.4241624360625356,
      1.407026746508982,
      1.3902211091073862,
      1.37373451593394,
      1.357556856156854,
      1.3416781603889512,
      1.3260886657326565,
      1.3107790305675626,
      1.2957403157239777,
      1.2809639647639404,
      1.2664417859957835,
      1.2521659347192895,
      1.2381288964751156,
      1.2243234702293269,
      1.210742753261559,
      1.197380126463654,
      1.1842292395600804,
      1.1712840140635896,
      1.158538812336755,
      1.1459884200942583,
      1.1336281922634326,
      1.1214536424477874,
      1.1094605616616984,
      1.0976449871695164,
      1.0860029089208543,
      1.0745303086608975,
      1.0632231959684815,
      1.0520776341114542,
      1.041089758910451,
      1.0302557913012051,
      1.0195720459028583,
      1.0090349364187416,
      0.9986409782314546,
      0.988386789463195,
      0.9782690905471868,
      0.968284703471252,
      0.9584305495106084,
      0.9487036472149604,
      0.9391011092563772,
      0.9296203575388811,
      0.9202597559880255,
      0.9110183014253681,
      0.9018954855353248,
      0.8928904216327389,
      0.8840018327967972,
      0.8752281812124947,
      0.8665677602543947,
      0.8580187536421083,
      0.8495792496426363,
      0.8412473038709505,
      0.833020985266362,
      0.824898386704505,
      0.8168776319825726,
      0.8089568810402388,
      0.8011343312584782,
      0.793407784057507,
      0.7857748229516308,
      0.7782332817531201,
      0.770781185050372,
      0.7634167059643552,
      0.756138134704696,
      0.7489438559765699,
      0.7418323321924657,
      0.734802090879268,
      0.727851715623213,
      0.720979838935889,
      0.714185137006927,
      0.7074663257525424,
      0.700822157369591,
      0.6942514179274247,
      0.687752925465014,
      0.6813255987343941,
      0.6749687902049215,
      0.6686819415460643,
      0.6624643548047576,
      0.6563152385822798,
      0.650233861889615,
      0.6442199073625455,
      0.6382729948417319,
      0.6323925660044795,
      0.6265779429991837,
      0.6208283694743093,
      0.6151430391925529,
      0.6095211167709923,
      0.603961751605378,
      0.5984640877213075,
      0.5930272703999666,
      0.5876504508993917,
      0.58233278997728,
      0.5770734596943897,
      0.5718716447811187,
      0.5667265434208196,
      0.561637367634457,
      0.5566033437796183,
      0.5516237293933197,
      0.5466983006056287,
      0.5418270919323779,
      0.537009902183997,
      0.5322463701806044,
      0.5275360265343499,
      0.5228783302819926,
      0.5182726940231536,
      0.5137185016424879,
      0.5092151206084223,
      0.504761910494759,
      0.5003582290004358,
      0.4960034359733145,
      0.49169689591092,
      0.48743798009375877,
      0.48322606762144305,
      0.4790605462739063,
      0.4749408128958665,
      0.47086627389377533,
      0.4668363450589172,
      0.46285045163438937,
      0.4589080283727591,
      0.45500851930627256,
      0.45115137781542497,
      0.4473360662090496,
      0.4435620557313725,
      0.4398288263614939,
      0.43613586658382536,
      0.4324826730788971,
      0.4288687508438195,
      0.42529361282741684,
      0.4217567797164746,
      0.41825777994917324,
      0.4147961494229032,
      0.4113714313030813,
      0.40798317611169543,
      0.40463094118057386,
      0.40131429074038266,
      0.39803279580722756,
      0.39478603381589683,
      0.39157358868649317,
      0.38839505079115827,
      0.38525001666866215,
      0.3821380888428925,
      0.37905887561765605,
      0.3760119912809306,
      0.3729970556252382,
      0.3700136942589505,
      0.3670615382854237,
      0.3641402240619281,
      0.3612493930378889,
      0.35838869192639405,
      0.3555577725496879,
      0.35275629166251166,
      0.3499839108050654,
      0.34724029636341663,
      0.34452511930302243,
      0.34183805526295435,
      0.3391787843490013,
      0.3365468649481084,
      0.3339417792914682,
      0.3313630770797005,
      0.3288103586930708,
      0.32628326152904247,
      0.3237814502690461,
      0.32130461283151573,
      0.31885259253982134,
      0.31642531845402805,
      0.31402266052480954,
      0.3116444478374874,
      0.3092904818514423,
      0.30696054530535893,
      0.30465440873055394,
      0.30237183483766816,
      0.30011258183661543,
      0.2978764056002291,
      0.29566306136656023,
      0.293472304999968,
      0.29130389343297985,
      0.2891575852840215,
      0.287033141271573,
      0.2849303245658722,
      0.28284890080082226,
      0.280788638267031,
      0.27874930782924323,
      0.27673068316609895,
      0.274732540671325,
      0.27275465934745097,
      0.270796823094643,
      0.26885885190220155,
      0.2669405821388109,
      0.26504183717873747,
      0.26316243195463185,
      0.2613021760092181,
      0.25946087598818585,
      0.257638336960181,
      0.2558343637528004,
      0.2540487616728687,
      0.2522813369956447,
      0.25053189730166153,
      0.2488002517382609,
      0.24708619069280643,
      0.24538948079712233,
      0.24370990118202,
      0.24204724457922697,
      0.2404013139350207,
      0.23877191995006086,
      0.23715887949795322,
      0.23556201429331228,
      0.23398115164862085,
      0.23241612434756392,
      0.23086676739319387,
      0.22933292123655594,
      0.22781447637929078,
      0.22631134387906757,
      0.22482341403343495,
      0.22335056324958932,
      0.22189265843876885,
      0.22044956030384658,
      0.21902112574891922,
      0.21760720950923776,
      0.2162076651729484,
      0.2148223460948819,
      0.21345110590049063,
      0.21209379897639175,
      0.2107502805291934,
      0.2094204070407725,
      0.20810403620431106,
      0.20680102720768465,
      0.20551124047329272,
      0.20423452888207233,
      0.20297071758289437,
      0.20171963796493095,
      0.20048113341087037,
      0.19925505627206114,
      0.19804126562731808,
      0.1968396258929791,
      0.19565000555375858,
      0.19447227641707637,
      0.19330631304418563,
      0.19215199234333,
      0.19100919324715332,
      0.1898777965242267,
      0.18875768445627736,
      0.18764874101659307,
      0.18655085155774367,
      0.18546390282167263,
      0.18438778280159873,
      0.18332238074764662,
      0.18226758732918188,
      0.1812232942928147,
      0.1801893945690606,
      0.17916578221719004,
      0.17815235256484396,
      0.17714900203323367,
      0.17615562819512579,
      0.17517213023043263,
      0.17419841319157384,
      0.17323438436519942,
      0.1722799500872727,
      0.1713350163067216,
      0.17039948896859516,
      0.1694732743585232,
      0.1685562791804072,
      0.16764841068652916,
      0.16674957699971005,
      0.16585968700578624,
      0.16497865043295673,
      0.16410637778774825,
      0.16324278047766644,
      0.1623877707906424,
      0.16154126195387725,
      0.16070316810647375,
      0.15987340420546464,
      0.1590518861252079,
      0.15823853069014063,
      0.15743325539236497,
      0.1566359787606362,
      0.1558466200837413,
      0.155065099531171,
      0.1542913380794349,
      0.15352525760013896,
      0.15276678069034852,
      0.15201583076653352,
      0.15127233209082844,
      0.15053620973079818,
      0.14980738943250255,
      0.14908579782058048,
      0.14837136223244474,
      0.14766401073918214,
      0.14696367003952765,
      0.1462702328373009,
      0.14558357712997835,
      0.14490359765647406,
      0.14423015388896648,
      0.1435630557607015,
      0.1429021411967782,
      0.1422472777352577,
      0.1415983547511157,
      0.14095527760275744,
      0.14031796369766908,
      0.13968633919560675,
      0.13906033690365893,
      0.13843989447631527,
      0.1378249534867243,
      0.1372154582837613,
      0.13661135545145237,
      0.13601259326399906,
      0.13541911592751454,
      0.1348308224823639,
      0.13424759806653316,
      0.13366934770580366,
      0.13309599099292532,
      0.13252745833296156,
      0.1319636882674433,
      0.1314046253892642,
      0.13085021885378526,
      0.13030042124435753,
      0.1297551878201492,
      0.1292144758057912,
      0.12867824391148208,
      0.12814645208101777,
      0.12761906136561393,
      0.1270960335983962,
      0.1265773312370935,
      0.12606291732983269,
      0.12555275545166436,
      0.1250468096108038,
      0.12454504424589778,
      0.1240474241992362,
      0.1235539146978065,
      0.12306448126591743,
      0.12257908976596951,
      0.1220977063196989,
      0.12162029741486079,
      0.12114682978413682,
      0.12067727050763433,
      0.12021158694489925,
      0.11974974669346071,
      0.11929171771981795,
      0.11883746827572145,
      0.11838696677083939,
      0.1179401819767092,
      0.11749707412773018,
      0.11705756824439079,
      0.11662158979443647,
      0.11618907684105867,
      0.11575997680151746,
      0.1153342439803868,
      0.1149118379627242,
      0.11449272228213025,
      0.11407686344132559,
      0.11366423031938083,
      0.11325479338456455,
      0.11284852451137581,
      0.11244539660559426,
      0.11204538348810354,
      0.11164845952737457,
      0.11125459969410287,
      0.11086377942726744,
      0.1104759744573695,
      0.11009116090449854,
      0.1097093151422553,
      0.109330413898037,
      0.10895443411320468,
      0.10858135289918104,
      0.10821114762781647,
      0.1078437957937805,
      0.10747927513826148,
      0.10711756362711448,
      0.10675863937278189,
      0.10640248071568502,
      0.10604906612201033,
      0.10569837427919108,
      0.10535038402679457,
      0.10500507433884669,
      0.10466242442758764,
      0.10432241363816343,
      0.10398502140099385,
      0.10365022736911246,
      0.1033180114161044,
      0.10298835354623971,
      0.10266123386184,
      0.10233663271583286,
      0.10201453572879624,
      0.10169495837759385,
      0.10137792154076683,
      0.10106343488665875,
      0.1007514999917394,
      0.1004421124146248,
      0.10013526330156537,
      0.09983094059312878,
      0.09952913001481395,
      0.09922981562639105,
      0.09893298030773537,
      0.09863860597261875,
      0.09834667406508661,
      0.09805716569151098,
      0.09777006167479312,
      0.09748534270299647,
      0.0972029894582829,
      0.096922982663254
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991444770412024,
      10.788409558088624,
      10.575809858455642,
      10.355886811698406,
      10.130869769876277,
      9.902755462708862,
      9.67333187704893,
      9.444190667008817,
      9.216750699763052,
      8.992258386736818,
      8.771764600679537,
      8.556103552132871,
      8.34588692690674,
      8.14150597351401,
      7.943143195576857,
      7.750795854992279,
      7.564304388119072,
      7.383383796959497,
      7.207652629923163,
      7.036661606257473,
      6.869920068956006,
      6.706919225836651,
      6.547151997185175,
      6.390129586528777,
      6.235395063738646,
      6.082534318355214,
      5.931184750419516,
      5.7810379650007535,
      5.631836079470181,
      5.483381364339351,
      5.335535108479797,
      5.188227018377983,
      5.0414593254658175,
      4.895305153651523,
      4.749894949631752,
      4.605411773223277,
      4.4620941847300175,
      4.320226184327642,
      4.180135299734006,
      4.042183278014504,
      3.906754770049236,
      3.7742473329572603,
      3.6450579842663267,
      3.519569952833698,
      3.398142420051248,
      3.2811018729580885,
      3.168734984455444,
      3.061282657880565,
      2.9589378164633557,
      2.8618437924158715,
      2.7700945626846187,
      2.683729187114626,
      2.6027244233594917,
      2.5270089075032045,
      2.4564768443028906,
      2.3909911035632967,
      2.330363776786897,
      2.274350330777971,
      2.2226491704569264,
      2.1748879144088327,
      2.130663397612686,
      2.0895583170375214,
      2.0511766769674944,
      2.015133774649804,
      1.9810590022370884,
      1.9486504695009406,
      1.917673623189693,
      1.8879435743101616,
      1.8593159124169791,
      1.8316776221844115,
      1.8049278205522148,
      1.7789790845883977,
      1.7537619949003815,
      1.729221890781432,
      1.705314214156386,
      1.6820013236901756,
      1.6592511000324168,
      1.6370371695434303,
      1.615338295921123,
      1.594134911543201,
      1.573408273737943,
      1.553140458293904,
      1.5333143419086392,
      1.5139135786405484,
      1.4949225735821012,
      1.476326453138211,
      1.4581110339669598,
      1.4402627916498532,
      1.422768828710346,
      1.4056168439661696,
      1.3887951023291076,
      1.3722926274891831,
      1.3560992669690726,
      1.3402049653318384,
      1.3245999808993725,
      1.3092749868433367,
      1.2942210536292384,
      1.2794296312733466,
      1.2648925316510529,
      1.2506019117446963,
      1.236550256976141,
      1.222730365743153,
      1.2091353334694368,
      1.1957585383844795,
      1.1825936279856097,
      1.1696345295912745,
      1.1568756161818083,
      1.1443116838961818,
      1.131938110714796,
      1.119750433555365,
      1.107744510955961,
      1.0959163481165408,
      1.0842619018194493,
      1.072777127897904,
      1.0614580155205138,
      1.0503006120608696,
      1.0393010405216057,
      1.0284555118297258,
      1.017760332428591,
      1.007211909110566,
      0.9968067518589755,
      0.986541474241213,
      0.976412793178206,
      0.9664175273193163,
      0.9565525949234925,
      0.9468150120958658,
      0.9372019839822747,
      0.9277115381106658,
      0.9183424033180759,
      0.909093958064237,
      0.8999654012381737,
      0.8909554977427727,
      0.8820627214315803,
      0.8732853566777141,
      0.8646215695481845,
      0.8560694511432269,
      0.8476270224637796,
      0.839292294346389,
      0.8310633036521597,
      0.8229381203278829,
      0.8149148524386904,
      0.8069916485380939,
      0.7991666180521956,
      0.7914374359135049,
      0.7838017392076377,
      0.7762574001270598,
      0.7688024711273141,
      0.7614351451838426,
      0.7541537271848067,
      0.7469566124841018,
      0.7398422711472653,
      0.7328092363092756,
      0.7258560956073176,
      0.7189814847089793,
      0.7121840820890101,
      0.7054626053798514,
      0.6988158078953745,
      0.6922424767003192,
      0.6857414303448267,
      0.6793117884562179,
      0.6729530095975137,
      0.6666644463856101,
      0.6604453371606882,
      0.654294872553458,
      0.6482126059008863,
      0.6421982301856279,
      0.6362512320164434,
      0.6303709591845837,
      0.6245566673263898,
      0.6188075531859848,
      0.6131227775560023,
      0.6075014817606479,
      0.6019427987507603,
      0.5964458610118164,
      0.5910098057701665,
      0.585633778891238,
      0.5803169372053995,
      0.5750584499084069,
      0.5698574997314599,
      0.5647132835567942,
      0.5596250126112591,
      0.5545919127763222,
      0.549613526403771,
      0.5446898704790173,
      0.5398208146611572,
      0.5350060433301546,
      0.5302451150573314,
      0.5255375043738548,
      0.5208826309599421,
      0.5162798798624871,
      0.5117286158609053,
      0.5072281930232626,
      0.5027779617243998,
      0.49837727304956647,
      0.4940254822789276,
      0.4897219508819189,
      0.4854660480472516,
      0.48125715139903846,
      0.47709464766747933,
      0.4729779331896951,
      0.46890641381249304,
      0.46487950516476984,
      0.4608966324370168,
      0.456957230330501,
      0.4530607429224541,
      0.44920662347420526,
      0.44539433433528963,
      0.4416233467918895,
      0.437893140758776,
      0.434203204772774,
      0.4305530355761983,
      0.4269421381812168,
      0.42337002549945985,
      0.41983621840300556,
      0.41634024524967206,
      0.4128816419671208,
      0.4094599517042691,
      0.4060747247878056,
      0.40272551867870626,
      0.3994118976246708,
      0.39613343259303496,
      0.3928897010522337,
      0.3896802869325209,
      0.38650478051199394,
      0.38336277817759234,
      0.3802538823916776,
      0.37717770161011055,
      0.3741338499994585,
      0.3711219473603733,
      0.3681416191299153,
      0.36519249626012174,
      0.36227421499810425,
      0.3593864168475256,
      0.356528748431929,
      0.3537008614634489,
      0.35090241258822297,
      0.348133063337599,
      0.34539248003248163,
      0.34268033353922434,
      0.339996299436542,
      0.33733996325671484,
      0.3347108055121292,
      0.3321083590600642,
      0.3295322113344143,
      0.32698198940972123,
      0.3244573494869838,
      0.3219579695421568,
      0.3194836002872713,
      0.3170341587483551,
      0.31460954190419377,
      0.3122095970967229,
      0.3098341375824747,
      0.30748295342152615,
      0.3051558192193437,
      0.3028524996410423,
      0.30057275325292343,
      0.2983163352652649,
      0.29608299937743976,
      0.2938724993053356,
      0.29168458957625215,
      0.28951902625696213,
      0.28737556742634346,
      0.28525397329296776,
      0.2831540066324902,
      0.281075432681491,
      0.27901801946754284,
      0.27698153764752664,
      0.2749657606431983,
      0.2729704645527161,
      0.27099542819402195,
      0.2690404597743818,
      0.26710539430460384,
      0.26519005601371776,
      0.2632942595517741,
      0.26141781366691413,
      0.25956052357057846,
      0.25772219266224017,
      0.255902623734343,
      0.2541016199037779,
      0.2523189853115991,
      0.2505545252506943,
      0.2488080466373018,
      0.2470793417741671,
      0.24536817514602152,
      0.24367432183235568,
      0.24199757091008445,
      0.24033772214452284,
      0.23869458344278144,
      0.2370679690343721,
      0.23545769816926604,
      0.23386359650329386,
      0.23228549483427935,
      0.23072322579388024,
      0.2291766393901715,
      0.22764564186252784,
      0.22613013398351917,
      0.22462999827427946,
      0.2231451049012456,
      0.22167531593371592,
      0.2202204881817975,
      0.21878047514704363,
      0.21735512860244463,
      0.21594429955310823,
      0.21454783901421828,
      0.21316559846887284,
      0.21179743023681516,
      0.2104431876539127,
      0.20910272524090118,
      0.2077758989894455,
      0.20646256627081516,
      0.20516258581128025,
      0.20387579518429919,
      0.20260201573933304,
      0.20134108159427339,
      0.2000928376808513,
      0.19885713696831717,
      0.19763383872118306,
      0.19642280694521175,
      0.19522390947373355,
      0.19403701732169762,
      0.1928620040253504,
      0.1916987452956403,
      0.19054711890794615,
      0.18940700431861696,
      0.18827828278318795,
      0.18716083692056568,
      0.18605455085410122,
      0.18495930998830423,
      0.18387500106968985,
      0.1828015121753406,
      0.18173873265473686,
      0.18068655306312323,
      0.17964486509850222,
      0.17861356174581008,
      0.17759253704355052,
      0.17658168627354476,
      0.1755809058238915,
      0.17459009311923238,
      0.17360914677028158,
      0.1726379695000646,
      0.17167646879712914,
      0.1707245517963973,
      0.16978212504468287,
      0.16884909466939121,
      0.1679253672322106,
      0.16701084957863752,
      0.166105449120749,
      0.16520907400081625,
      0.16432163307886916,
      0.16344303608165625,
      0.1625731936017744,
      0.1617120170613098,
      0.16085941881216245,
      0.16001531204184438,
      0.15917961076501835,
      0.1583522299767129,
      0.15753308549087164,
      0.1567220939977806,
      0.155919173143806,
      0.15512424134073954,
      0.15433721791473382,
      0.15355802302954932,
      0.15278657773361187,
      0.15202280376819613,
      0.15126662367068608,
      0.15051796082323282,
      0.1497767394661869,
      0.1490428846828417,
      0.14831632227245314,
      0.14759697880402375,
      0.14688478149443787,
      0.1461796562454789,
      0.1454814945791744,
      0.14479017353281248,
      0.14410558691203548,
      0.14342757692589478,
      0.14275594929969943,
      0.14209054597553783,
      0.14143123725563803,
      0.14077791441235854,
      0.1401304841155999,
      0.1394888643635138,
      0.13885298177982874,
      0.13822276927504054,
      0.13759816454615892,
      0.13697910895715168,
      0.13636554662438707,
      0.13575742381144396,
      0.13515468849743598,
      0.13455728994563418,
      0.13396515549304197,
      0.13337816912604084,
      0.13279622554909642,
      0.13221923668077334,
      0.13164712730973369,
      0.13107983167168843,
      0.1305172910553572,
      0.12995945205885012,
      0.1294062653182378,
      0.1288576844615275,
      0.12831366532838018,
      0.12777416579023362,
      0.12723914499893146,
      0.1267085631557606,
      0.126182381417921,
      0.12566056167499948,
      0.12514306651269566,
      0.12462985902012119,
      0.12412090278996318,
      0.12361616179284361,
      0.12311560048258606,
      0.12261918368031018,
      0.1221268764854298,
      0.12163864441029422,
      0.1211544532935877,
      0.12067426928509517,
      0.12019805876149739,
      0.11972578840208574,
      0.11925742521462254,
      0.11879293651156103,
      0.11833228984913613,
      0.11787545317741291,
      0.11742239462901809,
      0.11697308257584534,
      0.11652747877560243,
      0.11608551071772878,
      0.11564710208204511,
      0.11521218942928155,
      0.11478071901065781,
      0.11435264427745036,
      0.11392792408646621,
      0.11350652135891483,
      0.11308840203484763,
      0.11267353448467904,
      0.11226188885352943,
      0.11185343663535033,
      0.11144815037294338,
      0.1110460035846495,
      0.11064697035131056,
      0.11025102532521369,
      0.10985814365203717,
      0.10946830090131494,
      0.10908147289647528,
      0.10869763580033195,
      0.1083167660302641,
      0.1079388402886357,
      0.1075638354989891,
      0.10719172875570904,
      0.10682249737623387,
      0.10645611891586049,
      0.1060925710752431,
      0.10573183175479063,
      0.10537387909706478,
      0.1050186913265728,
      0.10466624690161234,
      0.10431652434865382,
      0.10396950250455533,
      0.10362516042227704,
      0.10328347714417783,
      0.10294443426660435,
      0.1026080430277829,
      0.10227432749296576,
      0.1019432993913627,
      0.10161496140872861,
      0.10128930952033745,
      0.10096633498624058,
      0.10064602546933979,
      0.10032836611420969,
      0.10001334020877349,
      0.09970092979437027,
      0.0993911159464042,
      0.0990838791212998,
      0.09877919934198594,
      0.09847705645164717,
      0.09817743001048244,
      0.09788029959851205,
      0.09758564478127217,
      0.09729344513905283,
      0.09700368034073072,
      0.09671633019248949,
      0.09643137464239789,
      0.09614879371578264,
      0.09586856754606242,
      0.09559067653972884
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991433365993078,
      10.78835784625707,
      10.575695483698404,
      10.355692703279544,
      10.130584049147407,
      9.902370748594915,
      9.67284480252454,
      9.443601104609709,
      9.216060185872921,
      8.991469431398354,
      8.77088043989683,
      8.55512788994588,
      8.344823337000712,
      8.140357449154033,
      7.941912126647061,
      7.749484009050841,
      7.562912921534478,
      7.381913216439571,
      7.206102809820119,
      7.035031879461291,
      6.868209348741498,
      6.705126145117177,
      6.5452750614210995,
      6.388167336102419,
      6.233346238107503,
      6.080398021515261,
      5.928960613398416,
      5.778726354085845,
      5.629438191198474,
      5.480899209151594,
      5.332971759052643,
      5.1855867041783865,
      5.038747506922016,
      4.892528558528117,
      4.747061469002876,
      4.602530491990977,
      4.459175672551086,
      4.317282168587096,
      4.177178313203422,
      4.03922643599357,
      3.903811549739692,
      3.771331319370335,
      3.642182512472834,
      3.5167478375405556,
      3.3953857057761385,
      3.278421699699297,
      3.1661414111713926,
      3.0587842934933698,
      2.956541861129522,
      2.859556032860393,
      2.767919377371697,
      2.681668910201997,
      2.6007791636288897,
      2.525177398692026,
      2.4547569392031634,
      2.389379578869574,
      2.32885481496498,
      2.2729353118587583,
      2.221317270761479,
      2.173626993486013,
      2.1294607176126816,
      2.088401177170423,
      2.050053473827148,
      2.0140329221099127,
      1.9799708377695944,
      1.94756779560144,
      1.9165911037975571,
      1.88685719689013,
      1.8582226598614748,
      1.8305751771652177,
      1.8038143640077466,
      1.7778533801446257,
      1.752623168737336,
      1.728069275839875,
      1.7041474058862758,
      1.6808201067503294,
      1.6580552479462094,
      1.6358261209336415,
      1.614111330608045,
      1.5928915496534461,
      1.5721482166678216,
      1.5518635430768841,
      1.5320205067057264,
      1.5126028377625886,
      1.4935949969810953,
      1.4749821510428778,
      1.456750145500152,
      1.4388854755997613,
      1.4213752570658156,
      1.4042071969426342,
      1.3873695646785702,
      1.370851416559828,
      1.3546425219281166,
      1.3387327864398735,
      1.3231124875081355,
      1.3077723115039248,
      1.292703337670585,
      1.2778970212363832,
      1.2633451771343025,
      1.2490399634368736,
      1.2349738652797357,
      1.2211396796801972,
      1.2075305001210048,
      1.1941397027595986,
      1.1809609323512413,
      1.16798812192448,
      1.1552156557055058,
      1.1426383533635183,
      1.130251600322256,
      1.1180509659390507,
      1.1060323716902984,
      1.094191781867617,
      1.082525121669933,
      1.071028322348124,
      1.0596973538391934,
      1.048528248192801,
      1.0375171165736339,
      1.0266601600186192,
      1.0159536770697004,
      1.0053940684962894,
      0.99497783885894,
      0.9847015974555614,
      0.9745620574248667,
      0.9645560341667546,
      0.9546804435750519,
      0.9449322993549882,
      0.9353093319650653,
      0.9258099702889783,
      0.9164333857152946,
      0.9071788716252235,
      0.8980452403684598,
      0.8890309811532368,
      0.8801343708219869,
      0.8713535528967845,
      0.8626865931136644,
      0.8541315089889435,
      0.8456862675822293,
      0.8373488448851765,
      0.8291172528555437,
      0.8209895440132773,
      0.8129638136689179,
      0.8050382016879492,
      0.7972107213299442,
      0.7894789371149759,
      0.7818405390798607,
      0.7742934373315278,
      0.766835711826956,
      0.7594655757404076,
      0.7521813483721076,
      0.7449814355076564,
      0.7378643146976579,
      0.7308285247951872,
      0.7238726576222599,
      0.7169953516773109,
      0.7101952875967146,
      0.7034711846031699,
      0.6968217974063733,
      0.690245913834591,
      0.6837424298482381,
      0.6773106841566499,
      0.6709500949689647,
      0.6646599406017888,
      0.6584394061979031,
      0.6522878842444392,
      0.646205077403415,
      0.640190530870132,
      0.6342436271121583,
      0.6283636404607311,
      0.6225497749943392,
      0.6168011908427529,
      0.611117023088869,
      0.6054963950842194,
      0.5999384270623136,
      0.5944422425979892,
      0.5890069726824855,
      0.5836317587528048,
      0.5783157545619126,
      0.5730581273313098,
      0.56785805826991,
      0.5627147433792569,
      0.5576273932031337,
      0.5525953506197235,
      0.5476185291294655,
      0.5426968798836683,
      0.5378301395491262,
      0.5330178994123068,
      0.5282596527337085,
      0.5235548284582601,
      0.5189028143442816,
      0.5143029731233912,
      0.509754654011623,
      0.505257200296678,
      0.5008099547348599,
      0.49641226315765974,
      0.4920634771927541,
      0.4877629558057406,
      0.4835100665339452,
      0.47930418590977464,
      0.475144699840224,
      0.4710310040977034,
      0.4669625044173998,
      0.4629386161771331,
      0.45895876442381883,
      0.4550223837644217,
      0.4511289182754238,
      0.44727782135544425,
      0.443468555267565,
      0.4397005912612275,
      0.4359734094617313,
      0.43228649837529176,
      0.4286393548230223,
      0.4250314837454217,
      0.4214623981066897,
      0.41793161867018463,
      0.41443867397660966,
      0.4109830998893696,
      0.40756443959706956,
      0.4041822434124936,
      0.4008360687756115,
      0.3975254798502344,
      0.39425004747773384,
      0.39100934913172297,
      0.3878029686964119,
      0.3846304964245039,
      0.38149152869421676,
      0.3783856679971282,
      0.37531252269987264,
      0.37227170685888117,
      0.3692628402669696,
      0.36628554829904797,
      0.3633394618379652,
      0.36042421707627753,
      0.3575394553722601,
      0.35468482326204254,
      0.35185997237370226,
      0.34906455932033503,
      0.34629824549503996,
      0.34356069704803405,
      0.340851584868136,
      0.3381705242264277,
      0.33551699412422126,
      0.33289050976082785,
      0.3302906446989146,
      0.3277170151355871,
      0.32516926850366484,
      0.32264707543433113,
      0.32015012965377293,
      0.3176782810199336,
      0.31523145861635604,
      0.31280953109024945,
      0.31041232576115313,
      0.3080396415776914,
      0.30569125832337996,
      0.30336694335159936,
      0.3010664560916042,
      0.29878955141060903,
      0.29653598178118906,
      0.29430549903795755,
      0.2920978554126113,
      0.2899128042961865,
      0.2877501009609461,
      0.2856095028245823,
      0.28349076965267583,
      0.28139366382728775,
      0.2793179503267291,
      0.2772633968366067,
      0.27522977381408187,
      0.27321685453236877,
      0.2712244149261103,
      0.2692522496440492,
      0.2673001898854249,
      0.2653680611183044,
      0.26345567816097043,
      0.2615628491296187,
      0.25968937798237796,
      0.25783506647116905,
      0.25599971550838757,
      0.25418312624668116,
      0.2523851005194631,
      0.2506054413566655,
      0.24884395339927365,
      0.2471004312991987,
      0.2453746375445649,
      0.24366634282741798,
      0.24197533261145404,
      0.24030140337856873,
      0.23864436002099837,
      0.23700401401239218,
      0.2353801823261412,
      0.23377268877581292,
      0.23218136179182872,
      0.2306060317548408,
      0.22904656730464132,
      0.22750287677654857,
      0.22597485198869308,
      0.22446236860043192,
      0.2229652913355207,
      0.2214834778131819,
      0.22001678105229505,
      0.21856505145986238,
      0.21712813800607594,
      0.21570588922638045,
      0.21429815386383289,
      0.21290478121749767,
      0.21152562156771135,
      0.21016052632323393,
      0.2088093482472374,
      0.20747194141956407,
      0.2061481614569412,
      0.204837860523622,
      0.20354086392773707,
      0.20225699428402702,
      0.20098608756919628,
      0.1997279895233571,
      0.19848255336090706,
      0.19724963799178852,
      0.19602910675941415,
      0.1948208266522075,
      0.19362466762973318,
      0.19244050209871785,
      0.19126820474098843,
      0.1901076520561249,
      0.18895872216469287,
      0.1878212949217493,
      0.1866952517178043,
      0.1855804753358875,
      0.1844768499272406,
      0.18338426097849336,
      0.18230259535962284,
      0.18123174105806447,
      0.18017158734886246,
      0.1791220247907439,
      0.17808294502276947,
      0.1770542409969671,
      0.1760358067698031,
      0.17502753757715545,
      0.1740293296839098,
      0.1730410805168677,
      0.17206268864874721,
      0.17109405480283735,
      0.17013508550014614,
      0.1691856887124517,
      0.16824577146760208,
      0.1673152403890564,
      0.16639400225839482,
      0.16548196410721588,
      0.1645790334430334,
      0.1636851185781796,
      0.16280012845234149,
      0.16192397277525464,
      0.1610565621398599,
      0.160197807966696,
      0.15934762256554014,
      0.15850591907919168,
      0.157672611556994,
      0.15684761494898858,
      0.15603084507126413,
      0.1552222186313845,
      0.15442165316774678,
      0.15362906716378394,
      0.15284437982150972,
      0.15206751127682794,
      0.15129838250609562,
      0.15053691529284988,
      0.14978303223561512,
      0.14903665674572522,
      0.14829771302883116,
      0.1475661260437825,
      0.14684182155316278,
      0.1461247261384474,
      0.14541476515158028,
      0.14471182959165232,
      0.14401579520879915,
      0.14332654963297595,
      0.14264392200057216,
      0.14196771926240104,
      0.14129778592034822,
      0.14063399398831156,
      0.13997623579993376,
      0.13932441866892326,
      0.1386784610831439,
      0.13803828969856405,
      0.13740383739501422,
      0.13677504165491441,
      0.1361518435066745,
      0.13553418674224232,
      0.1349220171645487,
      0.1343152823003954,
      0.1337139310371888,
      0.13311791145913848,
      0.13252712804566807,
      0.13194146288147135,
      0.1313608185336281,
      0.13078511277089375,
      0.130214274585521,
      0.12964824134019734,
      0.12908695655745325,
      0.12853036849643548,
      0.1279784289448773,
      0.12743109245108533,
      0.12688831546446033,
      0.12635005624052675,
      0.12581627427548472,
      0.12528693000008537,
      0.12476198468698957,
      0.1242414003547705,
      0.12372513962400013,
      0.12321316554362152,
      0.1227054417371278,
      0.1222019321880699,
      0.1217026012306727,
      0.1212074136497341,
      0.12071633460408396,
      0.12022932952605749,
      0.11974636412367154,
      0.11926740447277762,
      0.1187924169325755,
      0.11832136809401993,
      0.11785422498330644,
      0.11739095484079291,
      0.11693152525093876,
      0.11647590403123376,
      0.11602405929409461,
      0.11557595502103697,
      0.11513152221848505,
      0.11469068217319994,
      0.11425336968736861,
      0.11381952957517197,
      0.1133891141669391,
      0.11296208142735892,
      0.1125383935599607,
      0.11211801602255517,
      0.11170091661863558,
      0.11128706500514601,
      0.1108764323408558,
      0.11046899085154473,
      0.11006471359640482,
      0.10966357433308575,
      0.10926554748091075,
      0.10887060788921818,
      0.10847873085574351,
      0.10808989196189477,
      0.10770406708744747,
      0.1073212324072173,
      0.1069413643568771,
      0.10656443962541778,
      0.10619043509762678,
      0.1058193278735372,
      0.10545109526972486,
      0.10508571477672954,
      0.10472316409987727,
      0.10436342111832063,
      0.10400646390190275,
      0.10365228416421188,
      0.10330090587642858,
      0.10295234756592599,
      0.1026066165819537,
      0.10226371217217518,
      0.10192362754153096,
      0.1015863514423803,
      0.10125186954395769,
      0.10092016515980755,
      0.10059121995348838,
      0.10026501438966011,
      0.09994152814237026,
      0.09962074044298948,
      0.09930263007015111,
      0.09898717563058454,
      0.0986743555974452,
      0.09836414849459275,
      0.09805653275633609,
      0.09775148686061319,
      0.09744898952574878,
      0.09714901952655666,
      0.09685155569504385,
      0.09655657706140104,
      0.09626406285560817,
      0.09597399243994362,
      0.09568634531832668,
      0.09540110115892492,
      0.09511823974091943,
      0.09483774116904399,
      0.09455958560577817,
      0.09428375335370735
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991421892807857,
      10.788305963749472,
      10.575581022619176,
      10.3554987372835,
      10.130298699702722,
      9.901986623613883,
      9.672358510046397,
      9.44301248026115,
      9.215370729561698,
      8.990681620959954,
      8.769997463649222,
      8.554153406780461,
      8.343760856918157,
      8.139209916788877,
      7.940681927012687,
      7.748172908010396,
      7.561522074950544,
      7.380443130782016,
      7.204553360739441,
      7.033402404750019,
      6.866498766975077,
      6.703333095554739,
      6.543398057673601,
      6.3862049273114225,
      6.231297174104372,
      6.07826141776637,
      5.926736112931746,
      5.776414334108845,
      5.627039857103231,
      5.478416583881398,
      5.330407928336364,
      5.1829459118072245,
      5.036035228298938,
      4.88975153582217,
      4.7442276009237,
      4.599648867541868,
      4.456256863829596,
      4.314337902079144,
      4.174221118683211,
      4.036269422406817,
      3.900868182922289,
      3.7684151656651217,
      3.639306885322844,
      3.513925526870225,
      3.3926287298383206,
      3.275741255767023,
      3.163547545669746,
      3.0562855996638496,
      2.9541455011663347,
      2.8572677583555586,
      2.7657435335116887,
      2.679607807228313,
      2.598832893349652,
      2.5233446826316035,
      2.4530356229087418,
      2.387766277392999,
      2.3273435849234803,
      2.2715174097694266,
      2.21998178386083,
      2.172361757378309,
      2.128253022967721,
      2.0872383241120747,
      2.0489240771376696,
      2.0129256079437567,
      1.9788761158063624,
      1.9464785950912344,
      1.9155021809681145,
      1.8857646070463776,
      1.8571234328381205,
      1.8294670269547013,
      1.8026954902678898,
      1.7767225571866254,
      1.751479527937865,
      1.7269121516373982,
      1.7029763924067647,
      1.6796349862500104,
      1.656855848820339,
      1.6346119103774608,
      1.612881561675844,
      1.5916457193888243,
      1.5708860065200443,
      1.5505847738851597,
      1.5307251037332423,
      1.5112908034781825,
      1.4922663907986935,
      1.4736370737442468,
      1.4553887274331647,
      1.4375078676382254,
      1.4199816241276182,
      1.4027977126911193,
      1.3859444077095806,
      1.3694107976243042,
      1.3531865671771608,
      1.337261594928823,
      1.321626176754671,
      1.3062710116707121,
      1.2911871871652898,
      1.2763661637761452,
      1.261799759050648,
      1.247480132031161,
      1.2333997678188753,
      1.2195514624198416,
      1.2059283076581022,
      1.192523677407059,
      1.1793312137354117,
      1.1663448558060805,
      1.1535589989682327,
      1.140968490736761,
      1.1285687187459983,
      1.1163553174274523,
      1.1043242286379176,
      1.0924713790980602,
      1.0807926645331998,
      1.069283992907649,
      1.0579413160195974,
      1.0467606513837553,
      1.0357380984563243,
      1.0248698493798436,
      1.0141521956399961,
      1.0035815318143109,
      0.9931543576372525,
      0.9828672782286313,
      0.972717003242457,
      0.9627003452317086,
      0.9528142174190966,
      0.9430560115524232,
      0.9334239240683552,
      0.9239167885657041,
      0.9145339007170342,
      0.9052741413326895,
      0.8961360288119821,
      0.8871178423295415,
      0.8782177088443645,
      0.8694336650139959,
      0.8607636999097261,
      0.8522057747795684,
      0.8437578152213245,
      0.8354177707651903,
      0.8271836349099422,
      0.8190534470143265,
      0.8110252931557811,
      0.8030973066364829,
      0.7952673444105604,
      0.787532944047992,
      0.7798918431607323,
      0.7723419865213914,
      0.7648814792250468,
      0.757508552397851,
      0.7502215385311323,
      0.7430188531360296,
      0.7358989808519119,
      0.7288604653735898,
      0.7219019021376852,
      0.7150219324627549,
      0.7082192391101872,
      0.7014925426017722,
      0.6948405986744424,
      0.6882621960580454,
      0.6817564338664229,
      0.6753227514778313,
      0.6689604790552846,
      0.6626688321081244,
      0.6564470576962251,
      0.6502948063082102,
      0.6442116930212692,
      0.6381971431871012,
      0.6322504550126582,
      0.6263708431529902,
      0.6205574693583975,
      0.6148094642894553,
      0.6091259422484129,
      0.6035060117243014,
      0.5979487827038229,
      0.5924533714355377,
      0.587018904014149,
      0.5816445183932657,
      0.5763293658789085,
      0.5710726119345968,
      0.5658734367871622,
      0.5607310355332417,
      0.5556446182592774,
      0.5506139008698026,
      0.5456389170834154,
      0.5407194635572903,
      0.5358551691817298,
      0.5310455496406012,
      0.5262900454536638,
      0.5215880485853333,
      0.5169389209660563,
      0.5123420071236893,
      0.5077966436157518,
      0.5033021650144847,
      0.4988579080705198,
      0.4944632143753413,
      0.49011743260211316,
      0.485819919775203,
      0.48157004200624887,
      0.4773671750070482,
      0.47321070422990064,
      0.4691000250952394,
      0.46503454295366087,
      0.4610136730119832,
      0.4570368402252274,
      0.45310347918056715,
      0.4492130340006283,
      0.44536495790987174,
      0.4415587134062692,
      0.4377937718438843,
      0.4340696131896945,
      0.43038572598029584,
      0.4267416070469733,
      0.42313676146752127,
      0.41957070221072074,
      0.4160429501109082,
      0.4125530335355917,
      0.40910048848513614,
      0.4056848580565534,
      0.4023056925936577,
      0.39896254948173565,
      0.39565499289260025,
      0.39238259363163486,
      0.38914492919002414,
      0.38594158336626067,
      0.38277214634688655,
      0.37963621443364914,
      0.3765333899762309,
      0.37346328130762985,
      0.37042550247870193,
      0.3674196731736891,
      0.3644454187302755,
      0.3615023699596837,
      0.3585901629193356,
      0.3557084389431499,
      0.3528568445229866,
      0.35003503119402396,
      0.3472426553984876,
      0.34447937848070614,
      0.3417448664829525,
      0.3390387562742988,
      0.33636054000484067,
      0.33370971282741474,
      0.3310858331297864,
      0.32848850529208906,
      0.32591736719759495,
      0.3233720814807333,
      0.3208523293999801,
      0.3183578669169074,
      0.3158886137442685,
      0.3134444664403278,
      0.31102527092151616,
      0.3086308382800181,
      0.30626095584706015,
      0.30391539518315275,
      0.30159391767406357,
      0.2992962784019678,
      0.29702222914611065,
      0.294771520256713,
      0.29254390190592716,
      0.2903391250763466,
      0.2881569423805,
      0.28599710843454607,
      0.28385938009280337,
      0.28174351679890286,
      0.2796492805460421,
      0.2775764360192438,
      0.27552475069050436,
      0.2734939947285033,
      0.2714839411161193,
      0.2694943736952137,
      0.267525115724509,
      0.2655759944690416,
      0.26364682513342375,
      0.2617374152983618,
      0.25984756777097345,
      0.2579770827643469,
      0.2561257593883383,
      0.2542933966999154,
      0.25247979426560313,
      0.2506847528239072,
      0.24890807474452126,
      0.2471495557159955,
      0.24540895878869348,
      0.24368604996151882,
      0.24198061066331467,
      0.24029243383324067,
      0.23862132128847158,
      0.23696708163129052,
      0.2353295294254784,
      0.2337084864406475,
      0.2321037786846812,
      0.23051523862559084,
      0.22894275114560297,
      0.2273862212710184,
      0.22584553284036726,
      0.22432055520336033,
      0.2228111482054101,
      0.22131716539081037,
      0.2198384563401191,
      0.21837486840521275,
      0.21692624789930293,
      0.21549244091210934,
      0.21407329385471532,
      0.21266865392776244,
      0.2112783694378063,
      0.20990228983618664,
      0.2085402660149718,
      0.2071921502757702,
      0.20585779641670512,
      0.2045370470935442,
      0.20322971931864253,
      0.20193563802362663,
      0.20065464027834695,
      0.19938657227089873,
      0.19813128702078184,
      0.1968886428674598,
      0.19565850248660152,
      0.19444073176889207,
      0.1932351995625096,
      0.19204177706911518,
      0.19086033761699564,
      0.18969075641524527,
      0.1885329104671334,
      0.1873866783110539,
      0.18625193986775854,
      0.18512857659761792,
      0.18401647142083832,
      0.18291550846409083,
      0.1818255732690901,
      0.1807465526237739,
      0.17967833456297255,
      0.17862080832201413,
      0.17757386430664482,
      0.1765373942322768,
      0.1755112909873531,
      0.17449544860248725,
      0.17348976218488013,
      0.17249412802145908,
      0.17150844350800812,
      0.17053260711972337,
      0.1695665184999841,
      0.16861008217769538,
      0.16766320672483534,
      0.16672579980594893,
      0.16579776859290823,
      0.16487902014464254,
      0.16396946174153287,
      0.16306900112468653,
      0.16217754656452077,
      0.16129500705192473,
      0.16042129233887922,
      0.15955631309616158,
      0.1586999806986659,
      0.15785220743922285,
      0.1570129065100418,
      0.15618199192378437,
      0.15535937857069948,
      0.1545449823425528,
      0.15373871981453777,
      0.15294050850846672,
      0.1521502668727751,
      0.15136791420230067,
      0.15059337054810776,
      0.14982655689073116,
      0.14906739499868402,
      0.14831580742310718,
      0.14757171759067095,
      0.14683504964491534,
      0.146105728570072,
      0.145383680088826,
      0.1446688295646055,
      0.1439610681286054,
      0.14326026980493986,
      0.14256631504880204,
      0.14187902246212405,
      0.14119820138374092,
      0.14052369785331525,
      0.13985538491727126,
      0.13919315547826486,
      0.13853691713618363,
      0.13788658843411453,
      0.13724209590971634,
      0.136603372208045,
      0.13597035457372486,
      0.1353429836344811,
      0.13472120271266802,
      0.1341049572171512,
      0.13349419420199415,
      0.13288886198879413,
      0.13228891004808874,
      0.13169427550809537,
      0.13110484579757256,
      0.13052051128450248,
      0.12994118057057372,
      0.129366775777333,
      0.12879722915762018,
      0.12823248045819668,
      0.12767247489649555,
      0.12711716197287296,
      0.1265664943882865,
      0.12602042730492352,
      0.12547891776274953,
      0.12494192427483523,
      0.12440940648558274,
      0.12388132501779546,
      0.1233576412279354,
      0.12283831721868606,
      0.12232331556779688,
      0.1218125994089375,
      0.12130613231073434,
      0.12080387820211622,
      0.12030580148972622,
      0.11981186689092553,
      0.11932203945235179,
      0.1188362845506703,
      0.11835456777986225,
      0.11787685524020146,
      0.11740311320564863,
      0.11693330833897944,
      0.116467407482123,
      0.11600537787325345,
      0.1155471870601565,
      0.11509280281455789,
      0.11464219203667804,
      0.11419529025360704,
      0.11375201598298416,
      0.11331230184074358,
      0.11287609103463453,
      0.11244333462031618,
      0.11201398950658012,
      0.1115880170685157,
      0.11116538199415099,
      0.11074605157027481,
      0.11032999495265641,
      0.10991718285068286,
      0.10950758713532541,
      0.10910118055326812,
      0.10869793661628376,
      0.10829782934703516,
      0.10790083336409377,
      0.10750692363840886,
      0.10711607551199087,
      0.1067282646542879,
      0.10634346699448563,
      0.10596165869279926,
      0.10558281613169712,
      0.10520691602269795,
      0.10483393522153889,
      0.10446387054350435,
      0.10409674788771385,
      0.10373258459579485,
      0.10337138686726174,
      0.10301315273598038,
      0.10265787423284567,
      0.10230553897777935,
      0.10195613136680189,
      0.10160963358711309,
      0.1012660261850616,
      0.10092528839219671,
      0.10058739879598412,
      0.10025233538453986,
      0.09992007586280975,
      0.09959059769389435,
      0.09926387827298788,
      0.09893989492298845,
      0.09861862495337245,
      0.0983000458399497,
      0.09798413517605364,
      0.09767087066246498,
      0.09736023005953484,
      0.09705219140036882,
      0.0967467328360642,
      0.09644383272316809,
      0.09614346952724347,
      0.09584562190512069,
      0.09555026869889507,
      0.09525738891139544,
      0.09496696168857775,
      0.09467896639174178,
      0.09439338259398065,
      0.09411018998219874,
      0.09382936844384861,
      0.09355089808474479,
      0.09327475903749348,
      0.09300093171549953
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991410106003658,
      10.788253230089929,
      10.575465286272136,
      10.355303182408967,
      10.1300115462294,
      9.90160057556673,
      9.671870235303489,
      9.442421830829682,
      9.21467921756064,
      8.989891733475268,
      8.769112348929214,
      8.553176685912186,
      8.342696024357576,
      8.138059908401313,
      7.939449141356353,
      7.746859121770189,
      7.560128449980357,
      7.378970178971158,
      7.203000962708648,
      7.0317699009615575,
      6.864785078527358,
      6.701536864578683,
      6.541517801605567,
      6.384239200489963,
      6.229244732463278,
      6.076121384823893,
      5.924508141909076,
      5.7740988108863025,
      5.624637994293643,
      5.475930414498635,
      5.327840551328605,
      5.1803015860376584,
      5.033319445303045,
      4.88697105526482,
      4.741390333574346,
      4.596763911414636,
      4.453334799896681,
      4.311390465488447,
      4.1712608453178195,
      4.033309424870831,
      3.8979219245747125,
      3.7654962043677536,
      3.636428521290357,
      3.5111005339592163,
      3.3898691071059925,
      3.2730581795311653,
      3.160951039880159,
      3.053784233192056,
      2.951746411194309,
      2.8549766721713197,
      2.7635647752220085,
      2.677543428771741,
      2.596882773360635,
      2.521507585458901,
      2.4513094381814415,
      2.386147538278714,
      2.325826296223023,
      2.2700929229096776,
      2.218638945015071,
      2.171088265847193,
      2.127036244891405,
      2.086065685747908,
      2.0477844386058086,
      2.01180782984964,
      1.9777708973187524,
      1.945379003290839,
      1.914403071367607,
      1.8846621056302306,
      1.8560146178648365,
      1.8283496435340965,
      1.801567755654965,
      1.775583254415666,
      1.7503277941134394,
      1.725747321929676,
      1.7017980564074495,
      1.6784429194033088,
      1.655649977432151,
      1.6333918400325256,
      1.6116465417146286,
      1.5903951754010404,
      1.5696195628649923,
      1.5493022049560872,
      1.5294262970878831,
      1.5099757308583206,
      1.4909350865566569,
      1.4722896177933908,
      1.4540252326806942,
      1.43612847032781,
      1.4185864761263598,
      1.401386976431665,
      1.3845182520556067,
      1.367969379501688,
      1.35172997732083,
      1.3357899446379808,
      1.3201395917543317,
      1.304769627242012,
      1.289671144894336,
      1.274835608799198,
      1.2602548382498686,
      1.2459209923636274,
      1.2318265552334724,
      1.2179643211554518,
      1.2043273796155354,
      1.1909091021005254,
      1.177703127906063,
      1.1647034022579117,
      1.1519043316217323,
      1.1393007926366565,
      1.1268881751185649,
      1.1146621885315964,
      1.102618780678208,
      1.090753841088714,
      1.0790632370106914,
      1.0675428536151434,
      1.0561886248569436,
      1.0449965546277422,
      1.0339627314403952,
      1.0230833385012605,
      1.0123546598483777,
      1.0017730839894503,
      0.9913351059084653,
      0.9810373268810929,
      0.9708764534147941,
      0.9608492953037174,
      0.9509529461956077,
      0.9411853692160997,
      0.9315450455013651,
      0.9220311933776124,
      0.9126427687978704,
      0.9033783235976296,
      0.8942361410731617,
      0.8852143324027701,
      0.8763109048613911,
      0.8675238094148049,
      0.8588509745797858,
      0.8502903152484387,
      0.8418397247378422,
      0.83349713214458,
      0.8252605163641868,
      0.817127906253579,
      0.8090973806856789,
      0.8011670511191996,
      0.7933346276839317,
      0.7855976390488366,
      0.7779538684202935,
      0.7704012936732543,
      0.7629380439422583,
      0.7555623679740052,
      0.7482726108689937,
      0.7410671970808338,
      0.7339446178600268,
      0.7269034218238155,
      0.7199422080786828,
      0.7130596205378872,
      0.7062543438107464,
      0.6995250997956917,
      0.6928706452563703,
      0.6862898474134254,
      0.6797820223694283,
      0.6733465679187587,
      0.6669827409023679,
      0.6606897107622943,
      0.6544669935354419,
      0.6483142864969075,
      0.6422310657735204,
      0.6362166589924605,
      0.6302702953413694,
      0.6243911407525831,
      0.6185783226941965,
      0.6128309476474638,
      0.6071481131594183,
      0.6015289157312707,
      0.5959724568104323,
      0.5904778469330816,
      0.5850442080346276,
      0.5796706751341728,
      0.5743563977588942,
      0.5691005400219871,
      0.5639022810879502,
      0.5587608155978065,
      0.5536755975389648,
      0.548646623120787,
      0.5436737686494878,
      0.5387567144420101,
      0.5338950079620055,
      0.5290881079561109,
      0.5243354149739634,
      0.5196362929788888,
      0.5149900843834795,
      0.5103961203189364,
      0.5058537278004045,
      0.5013622348329074,
      0.4969209734500934,
      0.4925292824040313,
      0.488186508243721,
      0.4838920064675922,
      0.4796451420944822,
      0.4754452901396815,
      0.4712918355673815,
      0.4671841736371009,
      0.4631217095780161,
      0.4591038585333587,
      0.4551300453945898,
      0.4511997048060928,
      0.4473122807820011,
      0.4434672267497374,
      0.43966400518206594,
      0.4359020873770488,
      0.43218095343799245,
      0.428500091894153,
      0.4248589995984209,
      0.4212571815971722,
      0.41769415084643363,
      0.4141694281295317,
      0.4106825418726897,
      0.4072330279598728,
      0.40382042957305864,
      0.40044429708354806,
      0.3971041878168173,
      0.39379966591979154,
      0.39053030210191336,
      0.3872956738607671,
      0.38409536504832503,
      0.38092896566806456,
      0.3777960719790676,
      0.37469628637372965,
      0.3716292169786938,
      0.3685944777157627,
      0.36559168831481936,
      0.36262047410158965,
      0.3596804656869458,
      0.35677129909157157,
      0.3538926155946792,
      0.3510440615356126,
      0.34822528832260674,
      0.34543595236928565,
      0.3426757149338786,
      0.33994422845845934,
      0.33724100943831586,
      0.33456553132400324,
      0.3319173361565463,
      0.329296015347253,
      0.3267011964620692,
      0.3241325338549231,
      0.32158970179277385,
      0.3190723962531802,
      0.31658046992184563,
      0.3141138524254602,
      0.3116724118099347,
      0.30925597363845353,
      0.30686433446827777,
      0.30449727121672954,
      0.3021545481188589,
      0.29983592131482406,
      0.29754114219070704,
      0.2952699597272174,
      0.29302212224703283,
      0.2907973784907421,
      0.28859547839468286,
      0.28641617385384444,
      0.2842592187599595,
      0.2821243694609471,
      0.2800113849809092,
      0.2779200270281937,
      0.2758500600200826,
      0.2738012512010669,
      0.27177337063893703,
      0.2697661930569346,
      0.26777953009294647,
      0.2658132112420514,
      0.263867052442007,
      0.26194086094995744,
      0.2600344386272611,
      0.2581475841819031,
      0.25628009489849385,
      0.2544317677225341,
      0.25260240008490525,
      0.2507917905205043,
      0.24899973898190209,
      0.24722604195372053,
      0.2454704643806481,
      0.24373276699025168,
      0.24201272692665526,
      0.24031013347220667,
      0.23862478516171667,
      0.23695648767927205,
      0.23530505313966324,
      0.2336703012238806,
      0.23205205539107365,
      0.23045015548145675,
      0.22886449896786448,
      0.22729498198136744,
      0.2257414815405677,
      0.2242038615874456,
      0.22268197739294088,
      0.2211756787316256,
      0.21968481202787016,
      0.21820922183855043,
      0.21674875188107956,
      0.2153032458269689,
      0.21387254804264477,
      0.21245650359263063,
      0.21105495877802655,
      0.20966776106698876,
      0.20829475951132825,
      0.20693580458218405,
      0.20559074830174917,
      0.20425942106530054,
      0.20294163638110624,
      0.2016372208548095,
      0.20034601227341478,
      0.19906785681793893,
      0.19780260712075953,
      0.19655012079143766,
      0.1953102594819268,
      0.19408288814384023,
      0.19286787437334998,
      0.191665088045006,
      0.1904744011693503,
      0.18929568768095698,
      0.18812882310557627,
      0.18697368460131916,
      0.18583015087761381,
      0.18469810205570705,
      0.1835774196349765,
      0.1824679865783161,
      0.18136968702021292,
      0.18028240642411825,
      0.1792060315529004,
      0.17814045035410436,
      0.177085552103824,
      0.17604122719821344,
      0.17500736722870783,
      0.17398386504810848,
      0.17297061464982383,
      0.17196751112746617,
      0.17097445079016865,
      0.16999133091326027,
      0.1690180499243555,
      0.16805450742777397,
      0.1671006055554521,
      0.16615625244029902,
      0.16522135648690148,
      0.16429582544072,
      0.16337956673795317,
      0.16247248791750704,
      0.16157449688619827,
      0.1606855020704907,
      0.1598054125315156,
      0.1589341381393639,
      0.15807158941272215,
      0.15721767779321633,
      0.15637231561744952,
      0.15553541606027554,
      0.15470689308711308,
      0.15388666159991995,
      0.15307463742080674,
      0.1522707371452185,
      0.15147487836676346,
      0.15068697942819756,
      0.14990695958243394,
      0.14913473893357873,
      0.14837023841951516,
      0.1476133797461713,
      0.14686408551530067,
      0.14612227906294883,
      0.14538788454833995,
      0.14466082699482838,
      0.14394103213676943,
      0.14322839179916333,
      0.14252277796438964,
      0.1418240625707935,
      0.14113205798932282,
      0.14044657485178855,
      0.13976746001691748,
      0.13909458700099306,
      0.13842784884824166,
      0.13776715316969193,
      0.1371124183319199,
      0.13646357055871747,
      0.13582054215076905,
      0.13518326990671792,
      0.1345516940574623,
      0.13392575744276178,
      0.1333054049967095,
      0.13269058325374994,
      0.1320812400452273,
      0.13147732439176177,
      0.1308787861200819,
      0.13028554399797437,
      0.12969748029974834,
      0.12911449220665652,
      0.1285364934350962,
      0.12796340981030502,
      0.1273951762098539,
      0.12683173426714847,
      0.1262730307817165,
      0.12571901628283577,
      0.12516964416105722,
      0.12462487010342492,
      0.12408465154978468,
      0.12354894718159946,
      0.1230177168925216,
      0.12249092145173213,
      0.12196852228513733,
      0.12145048145002128,
      0.12093676159265769,
      0.12042732578119082,
      0.11992213752428824,
      0.11942116078528736,
      0.11892435986436704,
      0.11843169945356403,
      0.1179431445471162,
      0.11745866045458132,
      0.11697821284055239,
      0.11650176771486728,
      0.11602929129674706,
      0.1155607501660297,
      0.11509611121851106,
      0.11463534163513264,
      0.11417840883313099,
      0.11372528054538616,
      0.11327589883969119,
      0.11283018182220425,
      0.11238805940874307,
      0.11194947271972207,
      0.11151437109894122,
      0.11108271022670262,
      0.11065445048652346,
      0.11022955573160682,
      0.10980799252910131,
      0.10938972951038918,
      0.10897473688819331,
      0.10856298608171139,
      0.108154449454443,
      0.10774910018298949,
      0.10734691203969302,
      0.10694785920954458,
      0.10655191640763079,
      0.10615905876307671,
      0.10576926162833881,
      0.10538251440335734,
      0.10499884258902836,
      0.10461826628093229,
      0.10424079340542305,
      0.10386642286229483,
      0.10349514695784773,
      0.1031269531953899,
      0.1027618256017887,
      0.10239974576062699,
      0.10204069339047797,
      0.10168464694772368,
      0.10133158402729503,
      0.10098148158820547,
      0.10063431622758481,
      0.10029006433867398,
      0.09994870214723038,
      0.09961020587441305,
      0.0992745518105535,
      0.09894171623649844,
      0.09861167560580926,
      0.09828440655578426,
      0.09795988577912848,
      0.09763809015679772,
      0.09731899671957879,
      0.09700258264875841,
      0.09668882535326899,
      0.09637770248441807,
      0.09606919181764846,
      0.09576327130675985,
      0.09545991910700374,
      0.09515911356063772,
      0.0948608331131747,
      0.09456505649106932,
      0.09427176253663554,
      0.09398093029820344,
      0.09369253899355963,
      0.09340656806957065,
      0.09312299717356205,
      0.09284180605556225,
      0.0925629746618373,
      0.09228648306351375,
      0.09201231150674116,
      0.09174044038081684
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991398208013749,
      10.788200200950138,
      10.575349127283497,
      10.355107130848692,
      10.129723863921523,
      9.901214047099039,
      9.671381573274653,
      9.441830861774859,
      9.213987430015283,
      8.98910159134875,
      8.768226978459811,
      8.55219968390549,
      8.34163083275224,
      8.13690942066394,
      7.938215751631438,
      7.745544603745457,
      7.558733961979964,
      7.377496228532973,
      7.201447428097242,
      7.03013612181793,
      6.8630699765342795,
      6.699739084336647,
      6.539635863800606,
      6.382271663312864,
      6.22719035792189,
      6.07397930402054,
      5.922278017272599,
      5.7717810365542945,
      5.622233789636082,
      5.47344182251257,
      5.325270683212899,
      5.1776547152343175,
      5.030601079776665,
      4.884187971917005,
      4.738550452887402,
      4.593876338226266,
      4.450410122406996,
      4.3084404238951,
      4.168297978879373,
      4.030346846673883,
      3.894973094833443,
      3.7625746713457744,
      3.6335475730350586,
      3.5082729285118965,
      3.3871068250433902,
      3.2703723778339993,
      3.1583517225078315,
      3.0512799490134053,
      2.949344277182924,
      2.852682396518351,
      2.76138266383231,
      2.6754754440980286,
      2.5949287213396373,
      2.519666245661022,
      2.4495787173147745,
      2.384523991078396,
      2.324303956296828,
      2.2686631805961563,
      2.2172905979356994,
      2.1698090075490404,
      2.125813517730843,
      2.084886997602299,
      2.046638736901142,
      2.010684064871211,
      1.9766598412389973,
      1.944273775791261,
      1.9132985647753662,
      1.8835544717482524,
      1.8549009520770015,
      1.827227700561068,
      1.8004357546422405,
      1.7744399773553425,
      1.7491724196174094,
      1.7245792033418503,
      1.7006167583754022,
      1.6772481973569127,
      1.6544417398691849,
      1.6321697994794477,
      1.6104100153517138,
      1.5891435301306127,
      1.568352377221083,
      1.548019217484561,
      1.5281273662256412,
      1.5086608048295922,
      1.4896041803139395,
      1.4709427954440457,
      1.4526625937308897,
      1.4347501396469118,
      1.4171925965144965,
      1.3999777022129332,
      1.3830937446099858,
      1.3665297802179373,
      1.3502753749756944,
      1.3343204483333182,
      1.3186553245940997,
      1.3032707221407767,
      1.288157740732347,
      1.2733078479371573,
      1.258712864586149,
      1.244364949676402,
      1.2302565866692048,
      1.216380568131727,
      1.2027299816612824,
      1.1892981962583884,
      1.1760788488643765,
      1.1630658907380902,
      1.1502537395426187,
      1.1376373013853085,
      1.1252119957769378,
      1.1129735955704816,
      1.1009180259135287,
      1.0890411425324356,
      1.0773387858465577,
      1.0658068204880549,
      1.0544411642602007,
      1.0432378080532212,
      1.0321928299559169,
      1.021302404960256,
      1.01056281058158,
      0.9999704302856222,
      0.9895217544209621,
      0.9792133803840998,
      0.9690420114013517,
      0.9590045134268864,
      0.949098554259442,
      0.9393223503958182,
      0.9296748732316492,
      0.9201551664405493,
      0.9107618229790422,
      0.9014931353508793,
      0.8923472019823715,
      0.8833220018669862,
      0.8744154478770381,
      0.8656254236029215,
      0.8569498095682333,
      0.8483864830761951,
      0.8399333128531903,
      0.8315882119528594,
      0.823349147754161,
      0.8152141413682116,
      0.807181266082169,
      0.7992485527924547,
      0.7914135931300653,
      0.7836739690352004,
      0.7760275020536582,
      0.7684721974839381,
      0.76100620428102,
      0.7536277855846909,
      0.7463352969623536,
      0.7391271705945426,
      0.7320019032625283,
      0.7249580477876263,
      0.717994206256282,
      0.7111090246411568,
      0.7043011890678196,
      0.6975694227333048,
      0.690912483400304,
      0.6843294393559711,
      0.677819708157195,
      0.6713825999535471,
      0.6650173088236476,
      0.6587231732671007,
      0.6524998815319832,
      0.6463469786183327,
      0.6402638341228559,
      0.6342497002581684,
      0.628303753180446,
      0.6224251214146913,
      0.6166129060956999,
      0.6108661951497778,
      0.6051840728883403,
      0.5995656266760183,
      0.5940099515354332,
      0.5885161534206591,
      0.5830833513000758,
      0.5777106782371658,
      0.5723972819596428,
      0.5671423257369672,
      0.5619449881724664,
      0.5568045426585134,
      0.5517208276337022,
      0.5466938111049667,
      0.5417232325731038,
      0.5368086765513942,
      0.5319496236034263,
      0.5271454853479007,
      0.5223956294225955,
      0.5176993971611837,
      0.5130561147044247,
      0.5084651020111232,
      0.5039256784004345,
      0.49943716640238023,
      0.4949988944397799,
      0.49061019858126176,
      0.4862704236541873,
      0.48197892407840814,
      0.4777350642220584,
      0.4735382184865338,
      0.4693877715550896,
      0.46528311837482533,
      0.4612236640011933,
      0.45720882363690935,
      0.453238022179688,
      0.4493106942460015,
      0.44542628393441214,
      0.4415842445577435,
      0.4377840385995464,
      0.43402513743736976,
      0.4303070211389723,
      0.4266291783063758,
      0.4229911058156712,
      0.419392308732745,
      0.41583230002395394,
      0.41231060044341333,
      0.40882673841977457,
      0.40538024986616694,
      0.4019706779903166,
      0.39859757305420634,
      0.3952604923375155,
      0.3919589999492769,
      0.3886926665900098,
      0.38546106962016885,
      0.3822637928000736,
      0.37910042620967155,
      0.37597056609459223,
      0.37287381463808245,
      0.369809779964544,
      0.3667780759166984,
      0.3637783220392311,
      0.36081014356570973,
      0.3578731711296355,
      0.35496704068220003,
      0.3520913934138307,
      0.3492458755773561,
      0.34643013844250925,
      0.34364383825445804,
      0.34088663622156395,
      0.33815807893743594,
      0.3354576252206416,
      0.33278479863394167,
      0.3301391764540476,
      0.32752037506451376,
      0.3249280396276377,
      0.3223618367640658,
      0.31982144951426333,
      0.31730663438305623,
      0.3148173122397171,
      0.31235337979311534,
      0.3099146818935451,
      0.30750102761848613,
      0.30511220167637104,
      0.30274797265824066,
      0.30040809881780517,
      0.2980923319347822,
      0.29580042023059605,
      0.2935321104869732,
      0.29128714945244305,
      0.28906528463066117,
      0.28686626512815866,
      0.28468984209411236,
      0.2825357689958065,
      0.28040380165444984,
      0.27829369875447507,
      0.27620522169567474,
      0.27413813462811965,
      0.27209220458019545,
      0.2700672013505397,
      0.2680629226259255,
      0.2660791959070879,
      0.26411583860008553,
      0.26217265810856566,
      0.26024945554206613,
      0.25834602831487835,
      0.25646217206508354,
      0.25459768181169845,
      0.2527523528384253,
      0.2509259813959513,
      0.24911836521316927,
      0.24732930169550066,
      0.245558558145718,
      0.24380588994706048,
      0.242071069730253,
      0.24035388293939192,
      0.2386541247304827,
      0.2369715977427602,
      0.23530611156135064,
      0.23365748362916042,
      0.23202553484125907,
      0.2304101179004995,
      0.22881113414570245,
      0.22722847170680915,
      0.2256620013547222,
      0.2241115819927732,
      0.22257706487946677,
      0.22105829626744472,
      0.21955511951248663,
      0.21806737634218135,
      0.2165949080272278,
      0.215137556001726,
      0.213695162380163,
      0.2122675701060369,
      0.21085462347062187,
      0.2094561680750321,
      0.20807205108820406,
      0.2067021211015872,
      0.20534622522865595,
      0.20400418394589795,
      0.20267581043002772,
      0.20136093214209988,
      0.2000593869453765,
      0.19877102070072686,
      0.1974956853997843,
      0.19623323784192778,
      0.1949835385315636,
      0.1937464510208506,
      0.1925218417208127,
      0.19130957926379438,
      0.19010953426799299,
      0.18892157922266767,
      0.18774558829025728,
      0.18658143725380777,
      0.18542900340580482,
      0.18428816555630187,
      0.18315880385491706,
      0.18204079987154118,
      0.1809340364013788,
      0.17983839761745168,
      0.17875376902383544,
      0.1776800372731005,
      0.17661709036910778,
      0.17556481744135574,
      0.17452310889190928,
      0.1734918562792279,
      0.17247095242204044,
      0.17146029121443776,
      0.170459767635407,
      0.16946927787623997,
      0.16848871928105189,
      0.1675179903291602,
      0.1665569904687626,
      0.1656056205766822,
      0.16466378700393178,
      0.16373139905296497,
      0.1628083650277178,
      0.16189459280192264,
      0.16098999022596802,
      0.160094465354894,
      0.15920792673398482,
      0.15833028353304301,
      0.15746144558064062,
      0.15660132355987175,
      0.1557498289329042,
      0.15490687397021694,
      0.1540723717759423,
      0.1532462363479037,
      0.1524283826087613,
      0.1516187263767778,
      0.15081718435238545,
      0.1500236739613801,
      0.1492381136078076,
      0.14846042247841887,
      0.1476905206361211,
      0.1469283289955198,
      0.1461737692063208,
      0.14542676381226502,
      0.14468723624188498,
      0.14395511066217076,
      0.14323031202575925,
      0.14251273412552656,
      0.1418022483064801,
      0.14109871690863698,
      0.14040194949456677,
      0.13971175692338045,
      0.13902798606316424,
      0.13835051022136763,
      0.13767922225628607,
      0.1370140294114737,
      0.13635484959238647,
      0.1357016086251925,
      0.13505423833502406,
      0.13441267505424723,
      0.13377685850437573,
      0.1331467309705539,
      0.13252223680388198,
      0.1319033220717682,
      0.13128993412537548,
      0.13068202139474347,
      0.13007953320049434,
      0.1294824164221152,
      0.12889057312164723,
      0.12830388596990347,
      0.12772225793132475,
      0.12714560680027762,
      0.12657386145208724,
      0.12600695899515219,
      0.12544484275044013,
      0.12488746055986195,
      0.12433476383747849,
      0.1237867066915011,
      0.1232432451585027,
      0.12270433700477378,
      0.12216994122899374,
      0.12164001776659614,
      0.12111452741420693,
      0.12059343168078532,
      0.12007669265418228,
      0.1195642729590444,
      0.11905613569118571,
      0.11855224432192372,
      0.11805256281363129,
      0.1175570554191889,
      0.11706568672397036,
      0.1165784217466128,
      0.11609522578036621,
      0.11561606444553771,
      0.11514090360289532,
      0.11466970950996035,
      0.11420244867967334,
      0.11373908793709453,
      0.11327959436286077,
      0.11282393538400215,
      0.1123720611306665,
      0.11192389071993779,
      0.11147935089618359,
      0.11103838019495532,
      0.11060092618089529,
      0.11016694305133273,
      0.1097363899781089,
      0.10930922994582594,
      0.10888542873814078,
      0.10846495429141126,
      0.10804777634909708,
      0.1076338658240955,
      0.10722319477654724,
      0.1068157359504785,
      0.10641146574659806,
      0.10601039649393701,
      0.10561255525087189,
      0.10521795466016452,
      0.10482659670381025,
      0.10443847566366452,
      0.10405358018688875,
      0.10367189473800777,
      0.10329340083733163,
      0.10291807790644547,
      0.10254590376179809,
      0.10217685523578561,
      0.10181090843762486,
      0.10144803897336303,
      0.10108822217007096,
      0.10073143321629945,
      0.1003776472194697,
      0.10002683924982057,
      0.09967898442272748,
      0.09933405811453012,
      0.09899203566398025,
      0.09865289262733962,
      0.09831660469041476,
      0.09798314781022671,
      0.09765249804596779,
      0.09732463168939065,
      0.09699952517972471,
      0.09667715520362154,
      0.09635749860514928,
      0.09604053243018186,
      0.09572623387585581,
      0.09541458037423119,
      0.09510554955617492,
      0.09479911923487952,
      0.09449526740927204,
      0.09419397229992281,
      0.0938952122584315,
      0.09359896580461889,
      0.09330521167092708,
      0.09301392880906377,
      0.09272509635320544,
      0.09243869354577305,
      0.0921546998415033,
      0.09187309487892742,
      0.09159385846515697,
      0.09131697055500354,
      0.09104241130720382,
      0.09077016104545133,
      0.09050020025880706
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991386331284419,
      10.7881472566438,
      10.575233134284616,
      10.354911337192586,
      10.129436554210125,
      9.90082800994545,
      9.670893493929341,
      9.44124053105451,
      9.213296301503636,
      8.988312096357015,
      8.767342208431637,
      8.55122320113466,
      8.340566053962107,
      8.135759223609751,
      7.936982516296252,
      7.744230092499552,
      7.5573393227477785,
      7.3760219606971225,
      7.199893404378862,
      7.028501679362593,
      6.861354035953912,
      6.697940290895446,
      6.537752741124481,
      6.380302774324174,
      6.225134470377504,
      6.071835556480272,
      5.920046081510034,
      5.769461314348109,
      5.619827429232355,
      5.470950811948748,
      5.322698157755092,
      5.175004973173591,
      5.027879654871108,
      4.881401666845005,
      4.735707206397914,
      4.590985269541107,
      4.44748183366424,
      4.305486670184224,
      4.165331311824399,
      4.027380389353414,
      3.892020313038641,
      3.759649114097371,
      3.6306625265201786,
      3.505441145847212,
      3.384340308384743,
      3.267682301538026,
      3.15574807334889,
      3.0487712558999447,
      2.9469376376480176,
      2.8503835004790035,
      2.7591958006854758,
      2.6734025675145827,
      2.592969634201124,
      2.5178197270102243,
      2.4478426376521165,
      2.3828944475865628,
      2.322774647410508,
      2.2672256331342986,
      2.2159337500754104,
      2.1685207037676344,
      2.1245812813654226,
      2.0836985087589737,
      2.04548309140594,
      2.0095503579097986,
      1.9755389614273153,
      1.943158926520528,
      1.9121846971591483,
      1.8824377792798712,
      1.8537785577488857,
      1.826097374875962,
      1.7992957232312117,
      1.7732890232891456,
      1.7480097360798543,
      1.7234041523796098,
      1.6994288904161272,
      1.6760472537622961,
      1.6532276029966564,
      1.6309421896029492,
      1.609168241357973,
      1.5878869510261375,
      1.5670805631352607,
      1.5467318979036986,
      1.5268243908934922,
      1.5073421140010825,
      1.4882697810845202,
      1.4695927440706738,
      1.4512969822253314,
      1.4333690858327945,
      1.415796235820229,
      1.3985661819627984,
      1.3816672202008013,
      1.3650883533082936,
      1.3488191382957657,
      1.3328495128671587,
      1.3171698137973022,
      1.3017707678791919,
      1.2866434801243196,
      1.2717794208929183,
      1.2571704121422689,
      1.2428086131729232,
      1.2286865062921397,
      1.2147968821399329,
      1.201132826346055,
      1.1876877053620802,
      1.174455153015239,
      1.1614291294123034,
      1.1486040609531183,
      1.1359748847333688,
      1.1235370680224324,
      1.1112864394862365,
      1.0992188830840872,
      1.0873302220954069,
      1.075616271978311,
      1.064072877779707,
      1.052695941700851,
      1.0414814425391434,
      1.0304254488710505,
      1.0195241280341518,
      1.0087737512806327,
      0.9981706964333121,
      0.9877114497770225,
      0.9773926055055632,
      0.9672108638887698,
      0.95716356976134,
      0.9472487075718364,
      0.9374649091769685,
      0.9278112629960004,
      0.9182864128029495,
      0.9088886664629986,
      0.8996161130083408,
      0.8904667053715437,
      0.8814383188816732,
      0.8725287921748188,
      0.8637359561713386,
      0.8550576539492313,
      0.8464917328583522,
      0.8380360420789456,
      0.829688482410658,
      0.8214470128172179,
      0.8133096482713283,
      0.8052744578121235,
      0.7973393767111348,
      0.7895019014628929,
      0.7817596657063417,
      0.7741105279660079,
      0.7665525206220143,
      0.7590838122619461,
      0.7517026800278557,
      0.74440748986844,
      0.7371966814529053,
      0.7300687571597202,
      0.7230222738004238,
      0.7160558362522114,
      0.7091680926873809,
      0.7023577308617656,
      0.6956234751048109,
      0.6889641575582932,
      0.6823790639037222,
      0.6758675740228212,
      0.6694289246862647,
      0.663062334322275,
      0.6567674034356926,
      0.6505437582815559,
      0.6443908184820553,
      0.6383078651327369,
      0.6322940880919239,
      0.626348619505208,
      0.6204705568211614,
      0.6146589795950244,
      0.6089129602870459,
      0.6032315723229801,
      0.5976138957514212,
      0.5920590204169862,
      0.5865660486736454,
      0.5811340968360472,
      0.5757622960134965,
      0.5704497929438372,
      0.5651957501204811,
      0.5599993454971771,
      0.5548601822471652,
      0.549778269562188,
      0.5447534185138272,
      0.5397852593327337,
      0.5348733000641417,
      0.530016967553602,
      0.5252156359069398,
      0.520468646743215,
      0.5157753228592098,
      0.5111349778461599,
      0.5065469228110261,
      0.5020104708381323,
      0.49752494025079297,
      0.49308965645648434,
      0.4887039536059831,
      0.48436717510630045,
      0.4800786744164852,
      0.47583781521473884,
      0.4716439716517441,
      0.4674965281332589,
      0.4633948794722309,
      0.45933843075135505,
      0.4553265970246358,
      0.4513588032653672,
      0.4474344840782238,
      0.44355308360894546,
      0.43971405521990675,
      0.4359168613133325,
      0.4321609733793035,
      0.4284458715577734,
      0.4247710443754437,
      0.42113598873441555,
      0.4175402097207178,
      0.41398322023372974,
      0.41046454114803244,
      0.40698370078828144,
      0.4035402349633078,
      0.40013368687275874,
      0.3967636067093569,
      0.39342955182121253,
      0.39013108623928094,
      0.386867780689383,
      0.38363921242766413,
      0.3804449651539348,
      0.37728462882549585,
      0.37415779967687834,
      0.371064079835195,
      0.36800307737038,
      0.3649744060687474,
      0.36197768541262937,
      0.3590125405382328,
      0.35607860194276053,
      0.35317550550007326,
      0.35030289232759215,
      0.34746040850453774,
      0.34464770535312467,
      0.3418644390887766,
      0.33911019457468483,
      0.33638443019302716,
      0.3336866484389193,
      0.3310164101914723,
      0.32837331912735584,
      0.3257570101969,
      0.3231671417019421,
      0.32060338964959845,
      0.3180654492058686,
      0.3155531722380006,
      0.31306648973920775,
      0.3106052692451765,
      0.30816933481374564,
      0.3057584806782039,
      0.30337248104217945,
      0.30101109699311507,
      0.29867408146352914,
      0.29636118239845394,
      0.294072145311425,
      0.29180671495872085,
      0.28956463648171543,
      0.28734565635280823,
      0.28514952281029565,
      0.28297598636956384,
      0.2808247998778056,
      0.2786957189277408,
      0.27658850185528816,
      0.2745029098813839,
      0.27243870696612066,
      0.270395659896736,
      0.268373550829347,
      0.2663722029374946,
      0.26439143548692473,
      0.2624310564480369,
      0.2604908665151155,
      0.25857066196119727,
      0.25667023670851025,
      0.25478938387655536,
      0.2529278966743898,
      0.2510855690595362,
      0.24926219637058392,
      0.24745757551549719,
      0.24567147735829803,
      0.2439036534529453,
      0.24215387156181406,
      0.24042191298515336,
      0.2387075692806812,
      0.2370106398452867,
      0.23533093169819025,
      0.23366825974912267,
      0.23202244228315935,
      0.23039334626567215,
      0.2287808735408523,
      0.22718490491156032,
      0.22560530523352615,
      0.22404192865687075,
      0.22249462242516968,
      0.2209632293990642,
      0.21944758987383564,
      0.21794754300338237,
      0.2164629275303853,
      0.2149935825382484,
      0.21353934784583453,
      0.21210006440316134,
      0.21067557444741009,
      0.2092657216490864,
      0.2078703511856182,
      0.20648930979327082,
      0.20512243834618668,
      0.20376954875532144,
      0.2024304554667915,
      0.20110498628589582,
      0.1997929789691152,
      0.19849427871820777,
      0.19720873657880889,
      0.19593620826710054,
      0.1946765531148152,
      0.19342963348441292,
      0.19219531433446693,
      0.19097346292107045,
      0.18976394844303252,
      0.18856664202414253,
      0.18738141635794872,
      0.18620814582828862,
      0.18504670636784426,
      0.18389697541072875,
      0.18275883174798194,
      0.18163215546351438,
      0.1805168280139717,
      0.17941273224927612,
      0.17831975231022015,
      0.17723777367036755,
      0.17616668296549967,
      0.17510636806869234,
      0.17405671814378665,
      0.17301762349920746,
      0.17198897566197657,
      0.17097066744278236,
      0.16996259267434644,
      0.16896464628397956,
      0.16797672443310024,
      0.16699872444449954,
      0.16603054463172895,
      0.16507208448153507,
      0.16412324457279628,
      0.1631839289220302,
      0.16225404673259974,
      0.1613335070883706,
      0.16042221836763604,
      0.1595200887532021,
      0.1586270265504805,
      0.15774294055643145,
      0.15686773998457673,
      0.15600133477276107,
      0.1551436356770244,
      0.15429455406277665,
      0.1534540021877141,
      0.15262189321417985,
      0.1517981411863238,
      0.1509826610041128,
      0.15017536839368295,
      0.14937617998855604,
      0.14858501328079196,
      0.1478017866573318,
      0.1470264193249697,
      0.14625883134021805,
      0.14549894357833876,
      0.14474667772416497,
      0.14400195634220617,
      0.14326470275260017,
      0.14253484109404763,
      0.14181226781673698,
      0.1410968536297448,
      0.14038845203228803,
      0.13968687063357146,
      0.13899192008285213,
      0.13830344666518207,
      0.13762132310441771,
      0.13694544177439033,
      0.13627570932779579,
      0.1356120431042353,
      0.13495436834880642,
      0.13430261632622448,
      0.13365672273802298,
      0.13301662679270032,
      0.13238227024478372,
      0.13175359698435826,
      0.131130552418204,
      0.13051308330856573,
      0.12990113758485008,
      0.12929466403279086,
      0.1286936122473689,
      0.1280979205788901,
      0.12750747808875335,
      0.12692217375748727,
      0.12634191503771208,
      0.12576662304632097,
      0.12519622905700822,
      0.12463067196714904,
      0.124069896347569,
      0.12351385099107903,
      0.12296248800539153,
      0.12241576194403768,
      0.12187362927149714,
      0.12133604789867175,
      0.12080297685141972,
      0.12027437621052846,
      0.11975020686464465,
      0.11923043038718355,
      0.11871500891598548,
      0.1182039050539091,
      0.11769708189852864,
      0.11719450281901113,
      0.11669613172411605,
      0.1162019328166311,
      0.11571187069257098,
      0.11522591030183067,
      0.11474401687825596,
      0.11426615597268874,
      0.11379229338523958,
      0.11332239534022173,
      0.11285642837009412,
      0.11239435923873681,
      0.11193615493536041,
      0.11148177341256955,
      0.1110311363720992,
      0.11058416696810644,
      0.11014080106148856,
      0.10970098408450529,
      0.10926466861070805,
      0.10883181253765556,
      0.10840237777384798,
      0.10797632943738623,
      0.10755363482507306,
      0.10713427410166174,
      0.10671826959425691,
      0.10630564200295,
      0.10589639889480996,
      0.10549053824011856,
      0.10508805105847827,
      0.10468892328725006,
      0.10429313709599472,
      0.10390067200163708,
      0.10351150565544026,
      0.10312561422801879,
      0.10274297310686151,
      0.10236355702457318,
      0.10198734029258429,
      0.10161429698235988,
      0.10124440107394317,
      0.1008776264702523,
      0.10051394711318597,
      0.10015333713772248,
      0.09979577072782571,
      0.09944122222070255,
      0.09908966610978512,
      0.09874107705465945,
      0.09839542994242095,
      0.09805269982275627,
      0.09771286196442937,
      0.09737589191274738,
      0.09704176530603394,
      0.09671045799822031,
      0.09638194602277826,
      0.09605620570401113,
      0.09573321352726379,
      0.09541294624561589,
      0.09509538068828383,
      0.0947804938938621,
      0.0944682631170225,
      0.09415866585525923,
      0.09385167982552606,
      0.09354728287815149,
      0.09324545305122134,
      0.09294616859385377,
      0.0926494079203447,
      0.09235514962206613,
      0.0920633724610525,
      0.0917740553896499,
      0.09148717762179036,
      0.09120271849530684,
      0.09092065745565035,
      0.09064097425620753,
      0.09036364876549753,
      0.09008866095287153,
      0.08981599100180053,
      0.0895456192520623,
      0.08927752625742691
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991374471644933,
      10.788094373063604,
      10.57511725115011,
      10.354715711051242,
      10.129149487544383,
      9.90044229152286,
      9.67040577934095,
      9.440650571534514,
      9.212605514921057,
      8.987522883676677,
      8.766457582120847,
      8.55024664638081,
      8.339500927625744,
      8.134608401511294,
      7.935748380135548,
      7.742914406292317,
      7.5559432352700995,
      7.374545972561675,
      7.198337388921922,
      7.026864974536205,
      6.859635565364334,
      6.696138702935447,
      6.535866562846202,
      6.378330573987448,
      6.223075023185067,
      6.069688010353537,
      5.917810119552404,
      5.767137347829631,
      5.617416524066221,
      5.46845488978132,
      5.32012038464805,
      5.172349679200156,
      5.02515240638438,
      4.87860930099553,
      4.732857687844551,
      4.588087741338553,
      4.4445468073063745,
      4.3025259336394175,
      4.162357449429914,
      4.024406554521147,
      3.8890599985947256,
      3.7567158916197076,
      3.627769700019584,
      3.5026014823511606,
      3.3815658421155006,
      3.2649842355816925,
      3.153136397986715,
      3.0462544998282794,
      2.9445228953285607,
      2.8480764572545594,
      2.757000740871883,
      2.671321446253287,
      2.5910022601599034,
      2.5159648845578895,
      2.446098064341083,
      2.3812559815052396,
      2.3212359083664893,
      2.2657781042703102,
      2.2145662740117746,
      2.1672212049612534,
      2.1233374004544276,
      2.0824981048207563,
      2.0443153867945143,
      2.008404575920109,
      1.974406121935329,
      1.9420323267907433,
      1.9110593544524577,
      1.881309932703095,
      1.8526453602501616,
      1.8249566154521937,
      1.7981456353545935,
      1.7721283914730717,
      1.7468377508304225,
      1.7222201707168519,
      1.698232456145157,
      1.6748381014382037,
      1.652005604207137,
      1.629707182462165,
      1.6079196185554168,
      1.586624010020742,
      1.5658028247763018,
      1.5454390522617139,
      1.5255162557952617,
      1.506018602603257,
      1.4869308779568222,
      1.46823848660343,
      1.4499274465080936,
      1.4319843757382555,
      1.4143964747870645,
      1.3971515070702096,
      1.3802377680552633,
      1.3636442124491337,
      1.347360398099915,
      1.3313762806902067,
      1.3156822090668463,
      1.300268918060009,
      1.2851275180942585,
      1.270249482403733,
      1.2556266341250453,
      1.2412511325290976,
      1.2271154589635695,
      1.2132124026586704,
      1.1995350470481747,
      1.1860767561779177,
      1.1728311617839229,
      1.1597922387434354,
      1.1469544143505175,
      1.1343126581184977,
      1.1218625012218415,
      1.1095998074356432,
      1.0975204203577826,
      1.0856201325158685,
      1.0738947350907748,
      1.0623400541841217,
      1.0509519770922788,
      1.0397264706642817,
      1.0286595939624097,
      1.017747506775277,
      1.0069864743546229,
      0.996372869962217,
      0.9859031756863149,
      0.9755739818825482,
      0.9653822864599466,
      0.9553259147429718,
      0.9454030988716241,
      0.9356128324294005,
      0.9259538272200211,
      0.91642441804405,
      0.9070226919469608,
      0.897746580249485,
      0.8885939236350084,
      0.8795625171611025,
      0.8706501424317151,
      0.8618545896141105,
      0.853173672777748,
      0.8446052152099474,
      0.8361470511756927,
      0.8277970724489613,
      0.8195532315644954,
      0.8114135390207274,
      0.8033760610574331,
      0.795438584760927,
      0.7875985822006045,
      0.7798537340216068,
      0.7722019331067977,
      0.764641236520436,
      0.757169830657748,
      0.7497860056103909,
      0.7424881367636006,
      0.7352746707414733,
      0.7281441149121263,
      0.7210950296486346,
      0.71412602246992,
      0.7072357435728137,
      0.7004228820657368,
      0.6936861633597744,
      0.6870246144890207,
      0.6804376294287019,
      0.6739245005121802,
      0.6674844017986421,
      0.6611167825717459,
      0.6548213307635471,
      0.6485975276515817,
      0.6424446908943503,
      0.6363620296158937,
      0.6303486826932686,
      0.6244037463169617,
      0.6185262928934832,
      0.6127153840483467,
      0.6069700799344527,
      0.6012894452347901,
      0.5956725536629586,
      0.5901184909289817,
      0.5846263564376016,
      0.5791952644408886,
      0.5738243447038145,
      0.5685127430192519,
      0.5632596211705739,
      0.5580643175800644,
      0.5529267797812363,
      0.5478469062305372,
      0.5428243834403251,
      0.5378587545065053,
      0.5329494665587413,
      0.5280959037536141,
      0.5232974104220106,
      0.5185533072716353,
      0.5138629025569263,
      0.509225499679831,
      0.5046404028257278,
      0.5001069203248242,
      0.49562436692269135,
      0.4911920658855062,
      0.48680934957487315,
      0.48247556048172685,
      0.47819005140039067,
      0.4739521854844051,
      0.4697613366434181,
      0.4656168892157199,
      0.4615182380117736,
      0.45746478794091566,
      0.45345595401097066,
      0.4494911610912019,
      0.445569843796079,
      0.44169144631245555,
      0.4378554221454124,
      0.43406123375794287,
      0.4303083525373011,
      0.4265962587578374,
      0.4229244409313244,
      0.419292396019173,
      0.41569962898130064,
      0.4121456528072172,
      0.40862998824041424,
      0.4051521637316581,
      0.4017117150867013,
      0.39830818536843315,
      0.39494112474827114,
      0.3916100904350896,
      0.388314646452216,
      0.3850543634924317,
      0.38182881879981956,
      0.3786375960537216,
      0.37548028515303583,
      0.3723564821554367,
      0.36926578914261565,
      0.36620781403776964,
      0.36318217062904345,
      0.36018847839338763,
      0.3572263622214851,
      0.35429545257862954,
      0.35139538528806924,
      0.34852580129243405,
      0.34568634674992266,
      0.342876672778252,
      0.34009639718306917,
      0.3373449882540638,
      0.3346219253931602,
      0.3319267522507179,
      0.32925905900918906,
      0.3266184698135755,
      0.32400463423334913,
      0.3214172208290264,
      0.31885591263514806,
      0.31632046258144053,
      0.3138107917513214,
      0.3113267974015863,
      0.3088683233386304,
      0.30643517694662004,
      0.30402714061463953,
      0.30164398007378923,
      0.29928545036125453,
      0.29695129999376957,
      0.2946412737606733,
      0.2923551148207965,
      0.29009256634052644,
      0.2878533722595207,
      0.2856372781029235,
      0.283444031423696,
      0.28127338215658293,
      0.2791250828217189,
      0.2769988886299386,
      0.2748945577190099,
      0.2728118509366793,
      0.2707505319719934,
      0.2687103728446091,
      0.26669118487910304,
      0.2646927897885998,
      0.26271499645728863,
      0.26075760548970506,
      0.25882041217015034,
      0.25690320905437125,
      0.2550057873757068,
      0.25312793823826224,
      0.2512694533346279,
      0.24943012566171982,
      0.24760974980466555,
      0.24580810146653997,
      0.24402493036903963,
      0.24225999886015653,
      0.24051308370180927,
      0.23878397259622977,
      0.2370724616028827,
      0.23537835510170843,
      0.23370146526462188,
      0.23204161357218092,
      0.2303986775901177,
      0.22877255350180858,
      0.22716311577110115,
      0.22557022413233854,
      0.22399372853440996,
      0.22243347258183174,
      0.220889295957144,
      0.21936103615158836,
      0.21784852963797266,
      0.21635161278303813,
      0.21487012246425263,
      0.21340389636884835,
      0.21195277326758785,
      0.2105165934184719,
      0.20909519854118813,
      0.20768843183316027,
      0.20629613823146442,
      0.20491815065178973,
      0.20355427557007202,
      0.20220432821659526,
      0.20086813624140137,
      0.19954553704489125,
      0.19823637510596526,
      0.19694050049329628,
      0.1956577676764416,
      0.19438803465746538,
      0.1931311624200192,
      0.19188701450289747,
      0.19065545678589868,
      0.18943635706661688,
      0.18822958499988135,
      0.18703501192837133,
      0.1858525107442639,
      0.18468195585698038,
      0.1835232232805363,
      0.1823761904460185,
      0.18124073601816967,
      0.18011674017398566,
      0.1790040843770516,
      0.1779026513976869,
      0.17681232536244268,
      0.1757329916426976,
      0.17466453686166966,
      0.17360684885416733,
      0.17255981674497486,
      0.17152333086590626,
      0.1704972826386094,
      0.1694815647405244,
      0.16847607095684067,
      0.16748069631604637,
      0.16649533694971325,
      0.16551989001280035,
      0.16455425385559372,
      0.16359832790054796,
      0.16265201256689485,
      0.16171521028001365,
      0.16078782901323757,
      0.15986977865007368,
      0.15896096816134375,
      0.15806130606037352,
      0.15717070103382097,
      0.1562890619235002,
      0.15541629818580174,
      0.15455231979289297,
      0.1536970374664607,
      0.1528503626845857,
      0.15201220779952263,
      0.15118248595481382,
      0.15036111113207218,
      0.14954799820702527,
      0.14874306295143105,
      0.14794622196801255,
      0.14715739273645256,
      0.1463764936432433,
      0.14560344389373447,
      0.14483816340792283,
      0.14408057309437014,
      0.14333059466259654,
      0.14258815069318553,
      0.1418531644626244,
      0.1411255355737349,
      0.1404051329849305,
      0.13969180155024066,
      0.13898534918961283,
      0.13828558677247105,
      0.13759235936162248,
      0.1369055386775071,
      0.1362250161401523,
      0.13555069754541113,
      0.13488249946330166,
      0.13422034639626684,
      0.13356416891616574,
      0.13291390216770474,
      0.13226948459304996,
      0.13163085738788757,
      0.13099796377693634,
      0.13037074867905912,
      0.12974915830218078,
      0.1291331399594578,
      0.12852264193416071,
      0.12791761325890671,
      0.12731800363132598,
      0.1267237392957484,
      0.12613470323586196,
      0.1255507896713998,
      0.124971909883802,
      0.12439798776113163,
      0.12382895670201816,
      0.12326475711605474,
      0.12270533464464792,
      0.12215063887274097,
      0.12160062243742945,
      0.12105524029446665,
      0.1205144491973253,
      0.11997820724031893,
      0.11944647361685527,
      0.1189192084834674,
      0.11839637275118674,
      0.11787792796889557,
      0.1173638362853885,
      0.11685406028643115,
      0.11634856296695768,
      0.11584730777479293,
      0.11535025857340532,
      0.11485737951704506,
      0.11436863511782677,
      0.11388399026966467,
      0.11340341020349476,
      0.11292686041196308,
      0.1124543067405892,
      0.1119857152956458,
      0.11152105249931973,
      0.11106028508874546,
      0.11060337575476806,
      0.1101502535802885,
      0.1097008376316392,
      0.10925506073815887,
      0.10881286594916678,
      0.10837420399917225,
      0.10793904784404301,
      0.1075074140793842,
      0.10707931573241461,
      0.1066547544729146,
      0.10623372370008191,
      0.1058162105223561,
      0.10540219769363572,
      0.10499166480710799,
      0.1045845891208532,
      0.10418094628510932,
      0.10378071079622464,
      0.10338385639516587,
      0.10299035638022418,
      0.10260018360632486,
      0.10221331078800952,
      0.101829710604501,
      0.10144935582388151,
      0.10107221924913948,
      0.10069827372824454,
      0.10032749231693622,
      0.0999598482258583,
      0.09959531486392777,
      0.09923386578673835,
      0.09887547483663892,
      0.09852011600371947,
      0.09816776351666405,
      0.0978183917432906,
      0.09747197538456012,
      0.09712848924969329,
      0.09678790844553543,
      0.09645020824860248,
      0.09611536416891651,
      0.09578335183637945,
      0.09545414718673721,
      0.0951277263304916,
      0.09480406563248454,
      0.09448314163343474,
      0.09416493101018654,
      0.09384941073386359,
      0.09353655794899865,
      0.09322634992985426,
      0.0929187642344241,
      0.09261377853487439,
      0.09231137074126781,
      0.09201151897344483,
      0.09171420148268428,
      0.09141939671408847,
      0.09112708332492807,
      0.09083724012111853,
      0.09054984617251859,
      0.09026488073188438,
      0.08998232318008492,
      0.08970215303533366,
      0.08942435001394158,
      0.08914889401526704,
      0.08887576513304506,
      0.08860494366732002,
      0.08833640999723948,
      0.08807014469593438
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991362626246984,
      10.788041537800133,
      10.575001558002505,
      10.354520503093696,
      10.128863024045575,
      9.900057317532964,
      9.669918899555762,
      9.44006148017503,
      9.2119155786474,
      8.986734455912828,
      8.7655736345837,
      8.54927054459863,
      8.338435901738693,
      8.133457323021082,
      7.934513628149604,
      7.741597745339977,
      7.55454581419939,
      7.37306829227519,
      7.196779325274145,
      7.025225869048695,
      6.857914344977975,
      6.694334020568732,
      6.533976951482255,
      6.376354608519907,
      6.221011485837141,
      6.06753605736545,
      5.915569444793208,
      5.7648083709296705,
      5.615000317604579,
      5.465953386799646,
      5.3175367650379615,
      5.169688290470093,
      5.022418836756414,
      4.875810411725756,
      4.73000146061427,
      4.585183334212002,
      4.441604703995202,
      4.299557945065141,
      4.159376181749854,
      4.0214251824066976,
      3.8860920331818773,
      3.753774918333431,
      3.6248690345302994,
      3.499753900655194,
      3.378783403324611,
      3.262278162874162,
      3.1505166791225854,
      3.0437296704053396,
      2.9421000405943034,
      2.845761253339415,
      2.754797207146243,
      2.669231321406141,
      2.5890254044842043,
      2.5141001322285477,
      2.4443432031758383,
      2.379606903978934,
      2.319686095995059,
      2.2643190534957847,
      2.2131868538272035,
      2.1659094545592117,
      2.122081091609467,
      2.081285217983937,
      2.0431351672826152,
      2.0072462878029573,
      1.9732609048362864,
      1.9408935639501763,
      1.9099221233346764,
      1.8801705144815017,
      1.8515009350061944,
      1.8238049870823951,
      1.7969850428177727,
      1.7709576195107308,
      1.7456559869412829,
      1.7210267669906352,
      1.6970269493186576,
      1.673620217049726,
      1.6507752046432385,
      1.628464097347303,
      1.6066632969609282,
      1.5853537262240782,
      1.564518080518734,
      1.5441395210203133,
      1.5242017403130614,
      1.504689002877772,
      1.4855861666660675,
      1.466878690208796,
      1.4485526307739902,
      1.4305946346573817,
      1.4129919229644052,
      1.3957322734806248,
      1.3788039616728445,
      1.362195902746698,
      1.3458976772006206,
      1.3298992560247502,
      1.3141909992783278,
      1.2987636492529253,
      1.2836083207296844,
      1.2687164891929386,
      1.2540799787151862,
      1.2396909483675314,
      1.2255418783378444,
      1.2116255562660123,
      1.1979350637866195,
      1.1844637626997832,
      1.1712052822162031,
      1.1581536118696245,
      1.1453031808162306,
      1.1326489924783896,
      1.1201866673578729,
      1.107912070796087,
      1.095821007807078,
      1.0839092409288744,
      1.0721725383408063,
      1.0606067078697548,
      1.0492076222784414,
      1.0379712373524383,
      1.0268936031745783,
      1.0159708721182121,
      1.0051993037271012,
      0.994575266388916,
      0.9840952383481181,
      0.9737559482842771,
      0.9635549663718693,
      0.953490245624874,
      0.9435605200965748,
      0.9337645791443916,
      0.924100789109609,
      0.914567238150242,
      0.9051618373959134,
      0.8958823925521898,
      0.8867266543585528,
      0.8776923539776538,
      0.8687772275829686,
      0.859979033017532,
      0.8512955614311981,
      0.8427246166252882,
      0.8342640208713896,
      0.8259116590056148,
      0.8176654787483015,
      0.80952348732028,
      0.8014837332770596,
      0.7935438636748666,
      0.7857013427332595,
      0.7779538963792691,
      0.7702994499888897,
      0.7627360841647384,
      0.7552620025282556,
      0.7478755077458974,
      0.7405749842163184,
      0.733358885020057,
      0.7262257225763753,
      0.719174060703433,
      0.7122025093948288,
      0.7053097208062907,
      0.6984943854339173,
      0.6917552952404914,
      0.6850916978160401,
      0.6785029578012817,
      0.6719882930915977,
      0.665546969127836,
      0.6591786625769385,
      0.652882932289043,
      0.6466591438021886,
      0.6405065331750278,
      0.6344242517695852,
      0.62841139809718,
      0.6224670399044039,
      0.6165902293156453,
      0.610780013957444,
      0.6050354440512199,
      0.5993555774084567,
      0.593739482831257,
      0.5881862427476086,
      0.5826949542538604,
      0.5772647299703394,
      0.5718946986417657,
      0.5665840051818325,
      0.5613318311219385,
      0.5561379079450641,
      0.5510022358675634,
      0.5459245672555019,
      0.5409044865900853,
      0.5359414654479233,
      0.5310349008309576,
      0.5261841417796903,
      0.5213885083511941,
      0.5166473040693642,
      0.5119598253502594,
      0.5073253672480195,
      0.5027432283426894,
      0.4982127129291974,
      0.4937331331137921,
      0.48930381024029973,
      0.48492407547644234,
      0.48059327032658494,
      0.476310747176832,
      0.47207586888389075,
      0.4678880090111154,
      0.46374655182377617,
      0.4596508919686347,
      0.45560043439907816,
      0.4515945941136116,
      0.44763279619236473,
      0.4437144752681238,
      0.43983907547447015,
      0.43600605031287126,
      0.43221486228632805,
      0.4284649828094444,
      0.4247558919618259,
      0.42108707836691683,
      0.41745803894087447,
      0.41386827879269555,
      0.41031731079228356,
      0.4068046556968379,
      0.40332984189553434,
      0.3998924051796577,
      0.3964918886143193,
      0.3931278424111026,
      0.3897998237504403,
      0.3865073965035711,
      0.38325013133705643,
      0.3800276054632718,
      0.37683940244372766,
      0.3736851120959937,
      0.37056433040348885,
      0.3674766594274874,
      0.3644217070952987,
      0.36139908701663026,
      0.3584084185574873,
      0.35544932658686285,
      0.3525214414304427,
      0.3496243988026105,
      0.34675783951358985,
      0.3439214096381279,
      0.34111474654846413,
      0.3383373487296781,
      0.3355886703467988,
      0.3328682361179171,
      0.3301756215207609,
      0.3275104391232015,
      0.3248723290188758,
      0.32226095193513377,
      0.31967598418647925,
      0.3171171178636179,
      0.31458420127980574,
      0.3120771671665866,
      0.30959588302720775,
      0.30714017170697877,
      0.3047098255685167,
      0.3023046162333678,
      0.29992430180833096,
      0.2975686317635199,
      0.29523735061261536,
      0.2929302003707786,
      0.29064692223225963,
      0.2883872577919644,
      0.286150949969018,
      0.28393774340607686,
      0.2817473850211092,
      0.27957962420432103,
      0.2774342130562519,
      0.27531090651520973,
      0.27320946237439525,
      0.2711296412021981,
      0.26907120659776756,
      0.2670339561814937,
      0.26501771300537336,
      0.2630222870985999,
      0.26104747903451025,
      0.2590930834022639,
      0.2571588913353669,
      0.25524469233556946,
      0.2533502754881373,
      0.2514754303019939,
      0.24961994739478566,
      0.24778361882143946,
      0.24596622572602073,
      0.24416751590982438,
      0.2423872461518996,
      0.24062518858127227,
      0.23888112694656372,
      0.23715485372740838,
      0.2354461704682012,
      0.23375488660461105,
      0.23208082844879108,
      0.23042388254862517,
      0.22878393777721512,
      0.22716086269673255,
      0.2255545122969428,
      0.2239647325028637,
      0.22239136347519634,
      0.22083424180482186,
      0.21929320220797865,
      0.21776807856266608,
      0.21625870492717822,
      0.21476491585694013,
      0.2132865467975591,
      0.21182343451704902,
      0.2103754171467416,
      0.208942334390519,
      0.20752402754721025,
      0.20612033957546427,
      0.20473109443130935,
      0.20335609552955897,
      0.2019951583169298,
      0.2006481103405536,
      0.1993147881847885,
      0.1979950354713823,
      0.19668870111383283,
      0.19539563832847195,
      0.19411570373664147,
      0.19284875698753118,
      0.19159466017446683,
      0.19035327764154206,
      0.18912447570788837,
      0.18790812243670815,
      0.18670408770223246,
      0.1855122430207407,
      0.18433246142475637,
      0.18316461745666415,
      0.18200858703945785,
      0.18086424751737454,
      0.17973147771353362,
      0.17861015767412158,
      0.17750016879809502,
      0.17640139394563426,
      0.17531371715669333,
      0.17423702371709024,
      0.17317120010077294,
      0.17211613415800608,
      0.17107171500228235,
      0.17003783285069143,
      0.16901437907101122,
      0.16800124637279204,
      0.1669983285190255,
      0.16600552044852432,
      0.16502271814120606,
      0.16404981877941124,
      0.16308672063940982,
      0.16213332308855424,
      0.16118952663043584,
      0.1602552328011001,
      0.15933034755994968,
      0.15841478121974575,
      0.15750844335976918,
      0.1566112430227211,
      0.15572308921347544,
      0.15484389104113397,
      0.1539735580009238,
      0.15311200017427182,
      0.15225912839262126,
      0.151414854263714,
      0.15057909004772993,
      0.1497517488854906,
      0.14893274480676869,
      0.14812199265280956,
      0.14731940819224656,
      0.14652490803680607,
      0.14573840962965676,
      0.144959831262214,
      0.14418909216383194,
      0.1434261123529285,
      0.14267081270722728,
      0.141923114935256,
      0.14118294149325208,
      0.14045019553776217,
      0.13972474238688168,
      0.13900641938299552,
      0.13829503738721308,
      0.1375904070846945,
      0.13689237185218844,
      0.1362008018049678,
      0.13551558711899495,
      0.13483663257512885,
      0.13416385377542153,
      0.13349717443778228,
      0.13283652430716028,
      0.13218183781498846,
      0.13153305287098951,
      0.1308901099546247,
      0.13025295166790896,
      0.12962152224531617,
      0.12899576729249784,
      0.1283756336446846,
      0.1277610689178997,
      0.127152021597645,
      0.1265484409204205,
      0.125950276752147,
      0.12535744142589106,
      0.12476981568102664,
      0.1241872983886954,
      0.12360980425652283,
      0.12303725964120546,
      0.12246959967806835,
      0.1219067661380394,
      0.12134870559005541,
      0.12079536835163691,
      0.12024670758744702,
      0.11970267859062433,
      0.11916323827572785,
      0.1186283448622611,
      0.11809795765245172,
      0.11757203687658757,
      0.11705054349094757,
      0.11653343894673582,
      0.11602068536163905,
      0.11551224532476163,
      0.11500808189438606,
      0.11450815849540615,
      0.11401243895845926,
      0.11352088740104047,
      0.11303346828164883,
      0.11255014648078403,
      0.11207088714148246,
      0.11159565574648855,
      0.11112441800549028,
      0.11065714001691448,
      0.11019378817668389,
      0.10973432915811814,
      0.10927870021237156,
      0.10882683131645407,
      0.10837870899974754,
      0.10793432517260701,
      0.10749366559239629,
      0.10705671151488012,
      0.1066234409271865,
      0.10619382944372262,
      0.10576785104006864,
      0.10534547851330042,
      0.10492668388695608,
      0.10451143862181697,
      0.1040997138883985,
      0.1036914807234678,
      0.10328671008444508,
      0.10288537303693882,
      0.1024874406437079,
      0.10209288418434735,
      0.1017016750003654,
      0.1013137846905628,
      0.10092918500816013,
      0.10054784792403734,
      0.10016974559529224,
      0.09979485047446521,
      0.09942313519077879,
      0.09905457260392773,
      0.09868913585870205,
      0.09832679825601533,
      0.0979675333474382,
      0.09761131490330541,
      0.09725811688797549,
      0.09690791356305355,
      0.09656067938823547,
      0.09621638901199613,
      0.09587501738374449,
      0.09553653951716945,
      0.09520093076934107,
      0.09486816669463949,
      0.09453822298234676,
      0.0942110756426881,
      0.09388670088869984,
      0.09356507504454038,
      0.09324617459392126,
      0.09292997635017228,
      0.0926164573475928,
      0.09230559472720715,
      0.09199736587117846,
      0.0916917483280571,
      0.09138871986597402,
      0.09108825846932671,
      0.09079034233650748,
      0.09049494965548734,
      0.09020205899665573,
      0.08991164905805346,
      0.08962369871026872,
      0.08933818704182163,
      0.08905509327836938,
      0.08877439682299909,
      0.08849607732289176,
      0.08822011455225505,
      0.08794648848678843,
      0.08767517920062783,
      0.08740616698635154,
      0.08713943230411221,
      0.08687495578218511
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991350786240474,
      10.787988709250858,
      10.574885881447036,
      10.354325326189507,
      10.128576578052625,
      9.899672314490267,
      9.66943190105794,
      9.439472119112063,
      9.211225169719896,
      8.9859453175227,
      8.76468870796283,
      8.54829309140577,
      8.337369136908201,
      8.132304108561467,
      7.933276335773958,
      7.740278134318003,
      7.553145028336095,
      7.371586827080816,
      7.195217052220175,
      7.023582126470477,
      6.856188057556344,
      6.692523839225914,
      6.5320814071979285,
      6.374372276235868,
      6.218941151207226,
      6.065376881479742,
      5.913321128066859,
      5.7624713397488225,
      5.612575649585499,
      5.463443023334902,
      5.314943899695411,
      5.167017290302255,
      5.019675312936007,
      4.8730012537269385,
      4.727134673575013,
      4.58226809956026,
      4.43865153232677,
      4.296578676423872,
      4.156383453728307,
      4.018432199993035,
      3.883112336264017,
      3.7508221184809196,
      3.6219564709151126,
      3.496894369127739,
      3.3759890161293034,
      3.2595601866642587,
      3.147885107845319,
      3.041193073458345,
      2.9396654990819275,
      2.843434437232077,
      2.7525820716353127,
      2.667129551759314,
      2.587036872541945,
      2.512223682734493,
      2.4425766349964935,
      2.377946125278282,
      2.318124587095222,
      2.2628483364251606,
      2.2117958320124638,
      2.16458615618623,
      2.1208132899010113,
      2.080060953945952,
      2.0419436504415285,
      2.006076797143196,
      1.9721046582823083,
      1.9397439991775833,
      1.9087743552575003,
      1.8790208495021967,
      1.8503465682879714,
      1.822643730642487,
      1.7958151371495177,
      1.769777846719946,
      1.744465529275839,
      1.7198249703312636,
      1.6958133437710547,
      1.6723945207672977,
      1.6495372719974803,
      1.6272137924173526,
      1.6054001163504372,
      1.5840769395181444,
      1.5632271583457882,
      1.5428341104166408,
      1.522881622108261,
      1.503354058769581,
      1.484236353676878,
      1.4655140213743874,
      1.44717316044911,
      1.429200447376612,
      1.4115831243861876,
      1.394308983872197,
      1.3773662581177688,
      1.3607438545952273,
      1.3444313751306571,
      1.3284188062018956,
      1.3126965181162686,
      1.2972552598897327,
      1.2820861503518046,
      1.267180667458158,
      1.2525306359998485,
      1.2381282149033934,
      1.2239658833202967,
      1.2100364270835726,
      1.1963329256744932,
      1.182848738611913,
      1.169577492964963,
      1.1565131937771427,
      1.14365029297242,
      1.1309838240148253,
      1.1185094736770806,
      1.1062231074339086,
      1.0941204935903577,
      1.082197366266126,
      1.0704494712470976,
      1.058872598950728,
      1.0474626088307009,
      1.0362154455666719,
      1.025127150884745,
      1.0141938702681577,
      1.003411857573293,
      0.9927774768474951,
      0.9822872237815624,
      0.9719383679519512,
      0.9617286646495531,
      0.9516565006282305,
      0.9417207149586878,
      0.9319197084854555,
      0.922251570962482,
      0.9127141929360831,
      0.9033053445520463,
      0.8940227308230828,
      0.8848640307146537,
      0.8758269243235126,
      0.8669091113837266,
      0.8581083240114391,
      0.8494223349597319,
      0.8408489317152492,
      0.8323859269931279,
      0.824031200450983,
      0.8157826961313844,
      0.8076384188504695,
      0.7995963413442561,
      0.7916539978282141,
      0.7838089051026179,
      0.77605882655093,
      0.7684017147075345,
      0.7608356699407322,
      0.7533589101148601,
      0.7459697482693872,
      0.738666576542879,
      0.7314478536919394,
      0.7243120957270228,
      0.7172578695493211,
      0.7102837875723494,
      0.703388503324372,
      0.6965707085110759,
      0.6898293805776059,
      0.6831638873779735,
      0.6765735051567131,
      0.6700574217800299,
      0.6636151754129533,
      0.657246419551191,
      0.6509505784599676,
      0.6447269226656663,
      0.6385746212264964,
      0.6324927784953445,
      0.6264804595816277,
      0.6205367087130861,
      0.6146605616762746,
      0.6088510543104644,
      0.6031072288418778,
      0.5974281375206051,
      0.5918128453075526,
      0.5862604317748599,
      0.5807699921806339,
      0.5753406378517758,
      0.5699714966179875,
      0.5646617130222379,
      0.5594107379406461,
      0.5542185504494103,
      0.5490849884757024,
      0.544009691653324,
      0.5389921654319505,
      0.5340318262522662,
      0.5291280325889717,
      0.5242801064681242,
      0.5194873487601984,
      0.5147490502862944,
      0.5100644982155607,
      0.5054329813906276,
      0.5008537938626375,
      0.49632623690427785,
      0.4918496205533466,
      0.48742326484606474,
      0.4830464999837777,
      0.47871866698754395,
      0.4744391177251117,
      0.47020721484666345,
      0.46602233178403635,
      0.4618838526622307,
      0.45779117209884146,
      0.4537436951730785,
      0.4497408368528818,
      0.44578202215228574,
      0.441866685748313,
      0.4379942717961626,
      0.4341642338156472,
      0.43037603447185396,
      0.4266291451999622,
      0.4229230460552817,
      0.4192572256116777,
      0.415631180781543,
      0.41204441660867286,
      0.40849644608554153,
      0.4049867899698822,
      0.40151497654978685,
      0.39808054156155487,
      0.394683028082029,
      0.3913219862183701,
      0.3879969730277256,
      0.3847075524886418,
      0.3814532952201106,
      0.3782337782532006,
      0.37504858510949785,
      0.37189730560229933,
      0.36877953564047267,
      0.36569487713644144,
      0.36264293789210583,
      0.35962333146192427,
      0.3566356771209993,
      0.3536795997354748,
      0.3507547295092426,
      0.3478607019630777,
      0.3449971579685013,
      0.34216374345542533,
      0.3393599939675698,
      0.3365853496832617,
      0.33383931400237876,
      0.33112144606641775,
      0.3284313457663249,
      0.32576864285620355,
      0.3231329894849252,
      0.3205240548976022,
      0.31794152147387206,
      0.31538513527988815,
      0.3128548165072937,
      0.31035046363804625,
      0.3078719203338969,
      0.30541899236707915,
      0.30299145989876114,
      0.30058908587587674,
      0.2982116221291875,
      0.29585881374265666,
      0.2935304021046538,
      0.29122612690714106,
      0.2889457275963553,
      0.2866889445224833,
      0.2844555195129058,
      0.2822451966601353,
      0.2800577223605844,
      0.27789284558425753,
      0.27575031813515655,
      0.27362989463560217,
      0.2715313325912906,
      0.26945439237273167,
      0.26739885512020817,
      0.2653645394254895,
      0.2633512575547617,
      0.26135881072372624,
      0.25938699310938435,
      0.2574355947112645,
      0.2555044033904926,
      0.25359320620921966,
      0.25170179062245907,
      0.2498299448019252,
      0.2479774584801831,
      0.2461441155051331,
      0.2443296661715011,
      0.24253386103871868,
      0.24075646720699379,
      0.23899726425159473,
      0.23725604097705386,
      0.23553259587924433,
      0.23382673552997157,
      0.23213829323240773,
      0.2304671604684636,
      0.2288132191461075,
      0.22717633242552332,
      0.2255563506744741,
      0.22395311590944011,
      0.22236646480288214,
      0.22079623106976942,
      0.2192422467206292,
      0.21770434312770728,
      0.21618235183151502,
      0.2146761050661627,
      0.21318543614468444,
      0.21171017974461573,
      0.21025017200580712,
      0.20880525058057445,
      0.20737525481504987,
      0.2059600256929935,
      0.20455937865387797,
      0.2031731139941572,
      0.20180104726480166,
      0.2004430056405509,
      0.19909882494525707,
      0.1977683476627931,
      0.19645142160797158,
      0.19514789860318243,
      0.19385763395797495,
      0.19258048588387217,
      0.19131631493180326,
      0.19006498390759996,
      0.18882635769317482,
      0.18760030288333476,
      0.18638668786062085,
      0.18518538258303996,
      0.18399625863103294,
      0.18281918905613337,
      0.18165404837391974,
      0.18050071254878264,
      0.17935905889421996,
      0.1782289660533696,
      0.17711031418762058,
      0.17600298462250752,
      0.17490686005740064,
      0.17382182455011982,
      0.17274776342975842,
      0.17168456314996647,
      0.17063211139998635,
      0.1695902971942941,
      0.16855901073745166,
      0.16753814344551843,
      0.16652758790766228,
      0.16552723783256656,
      0.16453698804286135,
      0.16355673452402883,
      0.1625863744392067,
      0.1616258060264577,
      0.16067492869740352,
      0.15973364284023356,
      0.15880184996341593,
      0.15787945391729402,
      0.15696636433920888,
      0.15606249160809713,
      0.1551677453332506,
      0.15428203479150032,
      0.1534052694070154,
      0.15253735886890027,
      0.1516782134206803,
      0.150827743935364,
      0.14998586200533962,
      0.14915247994542774,
      0.14832751096356916,
      0.14751086912488168,
      0.14670246924193403,
      0.1459022270670165,
      0.1451100591690128,
      0.14432588300428761,
      0.14354961686962447,
      0.14278117994708048,
      0.14202049220584706,
      0.1412674744909123,
      0.14052204850051778,
      0.13978412123305806,
      0.1390535545246337,
      0.13833017826146926,
      0.13761380661765935,
      0.13690425008459506,
      0.1362013498599603,
      0.13550497452529278,
      0.13481501285329764,
      0.13413136838484652,
      0.13345395571046811,
      0.1327826977167385,
      0.13211752331604792,
      0.13145836615387343,
      0.1308051633784184,
      0.13015785484376993,
      0.1295163825838796,
      0.1288806902631061,
      0.12825072285567482,
      0.12762642646962255,
      0.12700774821353475,
      0.1263946360285308,
      0.12578703849818315,
      0.12518490498498067,
      0.12458818180208608,
      0.12399676999356292,
      0.12341055204138826,
      0.12282943058835323,
      0.12225332304923689,
      0.12168215791080526,
      0.12111587183768141,
      0.1205544076115908,
      0.1199977126218548,
      0.11944573778094943,
      0.11889843659345961,
      0.11835576459136173,
      0.11781767879587712,
      0.11728413766235644,
      0.11675510066148981,
      0.1162305280361689,
      0.11571038071409201,
      0.11519462027352191,
      0.11468320876542569,
      0.11417610869625393,
      0.11367328306342414,
      0.11317469530341699,
      0.11268030912069472,
      0.1121900885849097,
      0.1117039981274059,
      0.11122200259011461,
      0.11074406706605369,
      0.1102701569506068,
      0.10980024707920127,
      0.10933435761987663,
      0.1088725133458749,
      0.1084146970131608,
      0.10796085242481143,
      0.1075109261995128,
      0.10706487044908802,
      0.10662264142392183,
      0.10618419858172093,
      0.10574950363013252,
      0.10531852017633447,
      0.10489121325659388,
      0.10446754902399072,
      0.1040474945548952,
      0.10363101761462803,
      0.10321808653999479,
      0.10280867027689132,
      0.10240273819728828,
      0.10200026010905293,
      0.1016012061208326,
      0.10120554662267198,
      0.10081325239499078,
      0.1004242944833357,
      0.10003864425901823,
      0.09965627332171119,
      0.0992771535175182,
      0.09890125695141438,
      0.09852855605814544,
      0.0981590234451896,
      0.09779263192732886,
      0.09742935460638955,
      0.09706916490127752,
      0.09671203636282846,
      0.0963579428455455,
      0.09600685839412976,
      0.09565875724510157,
      0.09531361395019992,
      0.09497140315741436,
      0.09463209975497328,
      0.09429567890151963,
      0.09396211596220484,
      0.09363138652180655,
      0.09330346632851826,
      0.09297833143585839,
      0.09265595809733626,
      0.09233632270023105,
      0.09201940182083995,
      0.09170517224188646,
      0.09139361104110406,
      0.09108469547072176,
      0.09077840295233636,
      0.09047471102139079,
      0.09017359753293998,
      0.08987504049957465,
      0.08957901811470549,
      0.08928550869347462,
      0.08899449076704131,
      0.08870594317772862,
      0.0884198448251286,
      0.08813617477543363,
      0.08785491234582526,
      0.08757603701788651,
      0.08729952843458438,
      0.08702536639130032,
      0.0867535308976297,
      0.08648400216344662,
      0.08621676167325082,
      0.08595179267465398,
      0.08568907803330524
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.99133894887882,
      10.787935876430373,
      10.57477016859904,
      10.35413005560658,
      10.128289965187415,
      9.899287054075812,
      9.668944517085865,
      9.438882155542021,
      9.210533867727962,
      8.985154968114356,
      8.763802229693997,
      8.54731372176707,
      8.336300070834174,
      8.131148197889612,
      7.932035944223706,
      7.738955015397928,
      7.551740319522355,
      7.370101018529657,
      7.1936500096213996,
      7.021933182076694,
      6.854456130756795,
      6.690707577606444,
      6.530179341052958,
      6.372382979763177,
      6.216863409829136,
      6.06320985996952,
      5.911064534365298,
      5.760125605635091,
      5.6101418568854085,
      5.460923123465272,
      5.312341100113029,
      5.1643359772167825,
      5.016921122983875,
      4.870181106943466,
      4.7242565999862425,
      4.579341305502041,
      4.435686557642124,
      4.293587392831352,
      4.153378531135389,
      4.015426877042025,
      3.88012018530418,
      3.7478567806385485,
      3.61903131161104,
      3.494022208018887,
      3.3731819860520114,
      3.256829574540218,
      3.1452409228316505,
      3.0386438944819085,
      2.9372184119207287,
      2.8410951145653494,
      2.7503544723294375,
      2.665015217645465,
      2.5850356976998556,
      2.5103345324402633,
      2.4407973284746487,
      2.3762725940303784,
      2.316550338216474,
      2.2613649219994896,
      2.21039219339481,
      2.1632502706295504,
      2.1195329131049707,
      2.078824199487836,
      2.0407397609122473,
      2.004895102388402,
      1.970936438062246,
      1.9385827339387802,
      1.9076151880683299,
      1.8778601044581453,
      1.8491814505385158,
      1.8214720211994946,
      1.7946350842562586,
      1.7685882348205062,
      1.7432655392464655,
      1.7186139451863731,
      1.6945908072482412,
      1.6711601837701746,
      1.6482909807395782,
      1.62595552461391,
      1.604129605196137,
      1.582793503884763,
      1.5619301535353405,
      1.5415230936635835,
      1.5215563041046685,
      1.5020142657757076,
      1.4828819987288377,
      1.4641450826803255,
      1.4457896643440689,
      1.427802455081584,
      1.4101707229313414,
      1.3928822784899322,
      1.3759252941776645,
      1.3592886967101212,
      1.3429621092269155,
      1.3269355331932273,
      1.3111993499554744,
      1.295744315555079,
      1.2805615530871979,
      1.265642542856804,
      1.2509791107249189,
      1.2365634154325174,
      1.2223879353217577,
      1.2084454548113464,
      1.194729051532234,
      1.181232082986193,
      1.1679481739183877,
      1.1548713448629246,
      1.141996071620859,
      1.1293174596616933,
      1.1168312455348506,
      1.1045332523098805,
      1.092419215627621,
      1.0804848440037431,
      1.0687258634346266,
      1.0571380490195084,
      1.045717247720695,
      1.0344593945896514,
      1.023360523507174,
      1.0124167739344618,
      1.0016243948086292,
      0.9909797458949163,
      0.9804797583370216,
      0.9701220477608538,
      0.9599045909122129,
      0.9498261097946771,
      0.9398850619857386,
      0.930079554332344,
      0.9204074665865625,
      0.9108665393441391,
      0.9014544357889566,
      0.8921687846618453,
      0.8830072107720871,
      0.8739673555292067,
      0.8650468912761312,
      0.856243530750602,
      0.8475550328879831,
      0.8389791725442893,
      0.8305137551678224,
      0.8221566566467595,
      0.8139058187939759,
      0.805759244798665,
      0.7977148235434655,
      0.7897699889532509,
      0.7819223093718655,
      0.7741695853176106,
      0.766509796315571,
      0.7589410622315925,
      0.7514616149051163,
      0.7440697777358094,
      0.7367639500813321,
      0.7295425958525318,
      0.722404235271702,
      0.7153474382564442,
      0.7083708193955054,
      0.7014730338015179,
      0.6946528279050609,
      0.6879094049125999,
      0.6812421156079962,
      0.6746501602949967,
      0.6681329036503756,
      0.6616900209755638,
      0.6553210119401452,
      0.6490251929013703,
      0.6428017579478175,
      0.6366498223094333,
      0.6305684523088216,
      0.6245566866021783,
      0.6186135507108061,
      0.6127380671807368,
      0.6069292628045813,
      0.6011861730856422,
      0.5955078457167459,
      0.5898933426828183,
      0.5843417414558941,
      0.5788521357986982,
      0.5734236361586438,
      0.5680553697592041,
      0.562746572810117,
      0.5574970712825649,
      0.5523068025669323,
      0.54717547068617,
      0.5421026215209926,
      0.5370876950059847,
      0.532130061661961,
      0.5272290476037137,
      0.5223839525834763,
      0.517594062251179,
      0.5128586562240689,
      0.5081770141588456,
      0.5035484195675637,
      0.4989721626647548,
      0.49444754246122313,
      0.48997386750278205,
      0.4855504564800134,
      0.4811766389932746,
      0.47685175558686554,
      0.4725751577921872,
      0.46834620808070937,
      0.4641642797279382,
      0.4600287567936642,
      0.45593903393988283,
      0.4518945161643345,
      0.4478946186023736,
      0.443938766144208,
      0.440026393605113,
      0.4361569451275789,
      0.43232987421462166,
      0.4285446434536582,
      0.4248007243642367,
      0.4210975971413227,
      0.417434750319597,
      0.4138116808424356,
      0.4102278936715586,
      0.4066829017518789,
      0.4031762257972638,
      0.3997073941273609,
      0.39627594245299397,
      0.3928814137388359,
      0.38952335814262545,
      0.386201332701389,
      0.3829149012223747,
      0.3796636342007198,
      0.3764471087646046,
      0.37326490829203596,
      0.37011662251300714,
      0.3670018471816931,
      0.3639201842858884,
      0.3608712415218474,
      0.3578546323827132,
      0.3548699759449421,
      0.3519168969630602,
      0.34899502553647793,
      0.34610399716125556,
      0.3432434525825164,
      0.3404129724123734,
      0.33761199677378817,
      0.3348400051727826,
      0.3320965385451914,
      0.3293811825668776,
      0.32669355579595927,
      0.3240333012691918,
      0.321400080606437,
      0.31879356944394344,
      0.31621345468964523,
      0.31365957843663306,
      0.31113187563677736,
      0.30863021427452586,
      0.3061544162638649,
      0.30370427198118366,
      0.3012795506913628,
      0.2988800074514794,
      0.29650538855475717,
      0.29415543502475666,
      0.2918298853188167,
      0.2895284769453812,
      0.2872509478409599,
      0.28499703729607734,
      0.28276648636977236,
      0.2805590383677065,
      0.278374439257828,
      0.2762124375931249,
      0.2740727847940224,
      0.27195523520591347,
      0.26985954612361984,
      0.2677854854628282,
      0.26573286230881316,
      0.26370149149411964,
      0.2616911751330745,
      0.2597017072273114,
      0.25773287687287083,
      0.25578447033758667,
      0.2538562727920866,
      0.2519480695614166,
      0.25005964662188596,
      0.24819079119796383,
      0.2463412890407532,
      0.24451089417999392,
      0.2426993508964315,
      0.24090642120064376,
      0.23913188012565506,
      0.23737551267005724,
      0.23563711427330328,
      0.23391648860578051,
      0.23221347905112172,
      0.2305279768363415,
      0.22885985749512172,
      0.22720897893304035,
      0.2255751872758668,
      0.22395832087631568,
      0.22235821328399613,
      0.22077469513820028,
      0.21920759570369933,
      0.21765674378782326,
      0.21612196856431665,
      0.21460310006560784,
      0.21309996949771925,
      0.21161240930285535,
      0.21014025344073825,
      0.20868333753357393,
      0.2072414989772645,
      0.20581457405611667,
      0.20440237136379044,
      0.20300469096111848,
      0.20162134804175613,
      0.20025216886938077,
      0.19889698820767787,
      0.19755564739178721,
      0.1962279927539253,
      0.19491387468974708,
      0.19361314701872692,
      0.19232566635597473,
      0.19105129181144634,
      0.18978988464634716,
      0.1885413080761583,
      0.18730542723296448,
      0.18608210895521798,
      0.18487122173557644,
      0.183672635597689,
      0.1824862221174757,
      0.1813118543600663,
      0.18014940682160605,
      0.1789987554387587,
      0.17785977748835072,
      0.17673235161841036,
      0.17561635783238977,
      0.17451167750329152,
      0.17341819323919086,
      0.17233578902007368,
      0.17126435005882687,
      0.17020376279363217,
      0.16915391492213508,
      0.168114695490832,
      0.16708599460681972,
      0.16606770364924162,
      0.16505971510332948,
      0.16406192261397923,
      0.16307422102419614,
      0.16209650626465097,
      0.1611286754250701,
      0.16017062681009286,
      0.15922225971312134,
      0.15828347453056926,
      0.15735417265693197,
      0.15643425664397811,
      0.1555236343196455,
      0.15462221692991154,
      0.15372991476106548,
      0.15284663751593314,
      0.15197229490963016,
      0.15110679682574463,
      0.15025005368309327,
      0.14940197641557149,
      0.1485624766320097,
      0.1477314666761751,
      0.1469088598229223,
      0.14609457008301138,
      0.14528851226495107,
      0.14449060212218945,
      0.14370075622361514,
      0.14291889198586163,
      0.14214492774683857,
      0.1413787826387318,
      0.14062037673108022,
      0.1398696308207317,
      0.13912645509853602,
      0.1383907091157481,
      0.13766221534003326,
      0.13694079137208542,
      0.13622624736840647,
      0.13551842234565167,
      0.1348171830371109,
      0.13412241663556598,
      0.133434025446945,
      0.13275192297000812,
      0.1320760310493215,
      0.13140627782386138,
      0.13074259615139622,
      0.1300849223751144,
      0.1294331957272398,
      0.12878735752715836,
      0.12814735073108674,
      0.12751311983768193,
      0.12688461040508123,
      0.12626176890890567,
      0.12564454270569203,
      0.12503287993585796,
      0.12442672931494422,
      0.12382604017508064,
      0.12323075266682668,
      0.12264075849028744,
      0.1220559446018987,
      0.12147621682391725,
      0.12090149501002799,
      0.12033170935470733,
      0.1197667977410912,
      0.11920670388184536,
      0.1186513757688326,
      0.11810076471161393,
      0.11755482458610154,
      0.11701351120738085,
      0.11647678179921281,
      0.11594459483765579,
      0.11541690976586445,
      0.1148936868908689,
      0.1143748871879983,
      0.11386047213330434,
      0.11335040385594423,
      0.11284464485410056,
      0.11234315803661254,
      0.11184590672162185,
      0.11135285463675723,
      0.11086396588258549,
      0.11037924488064044,
      0.10989872359171074,
      0.10942241557595137,
      0.10895032028878339,
      0.10848242699313737,
      0.10801871755683744,
      0.10755914938118231,
      0.10710364449232142,
      0.1066521307879414,
      0.10620454656183355,
      0.10576083788063997,
      0.10532095645522274,
      0.10488485830357719,
      0.10445250279924574,
      0.10402385181556131,
      0.10359886905120916,
      0.10317751963632485,
      0.10275976997957226,
      0.10234558734637869,
      0.1019349397525957,
      0.10152779587958004,
      0.10112412491581284,
      0.10072389647038221,
      0.10032708060877887,
      0.09993364773800964,
      0.0995435685627431,
      0.09915681413167003,
      0.09877335580251272,
      0.09839316520821767,
      0.09801621421776444,
      0.09764247501238804,
      0.09727192006757296,
      0.09690452198980398,
      0.09654025367195998,
      0.0961790882587878,
      0.09582099917060473,
      0.09546596004559764,
      0.09511394468259961,
      0.09476492719461865,
      0.09441888188354766,
      0.09407578327454454,
      0.09373560611334042,
      0.09339832546591575,
      0.09306391650141947,
      0.09273235456176307,
      0.09240361525720733,
      0.09207767442947193,
      0.09175450808390807,
      0.09143409251301862,
      0.09111640417945392,
      0.09080141978421662,
      0.09048911616375323,
      0.09017947032129893,
      0.08987245956701201,
      0.08956806132846194,
      0.08926625329871096,
      0.08896701333720085,
      0.08867031947968676,
      0.08837614994220126,
      0.08808448315129486,
      0.08779529774952745,
      0.08750857250656177,
      0.0872242865866087,
      0.08694242129967514,
      0.08666295885894414,
      0.08638588083002667,
      0.08611116832680389,
      0.08583880222465624,
      0.08556876324525271,
      0.08530103209829089,
      0.08503558939379022,
      0.0847724158597167,
      0.08451149227357543
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991327115993078,
      10.787883043000434,
      10.574654426219114,
      10.353934704651268,
      10.12800321390449,
      9.898901583275645,
      9.668456809650815,
      9.43829170702126,
      9.209841876677215,
      8.984363689811666,
      8.762914552131198,
      8.54633281401899,
      8.335229069468708,
      8.129989946829367,
      7.930792801090937,
      7.7376287269237665,
      7.550332016571529,
      7.368611184728451,
      7.192078505701126,
      7.020279336566487,
      6.852718859741028,
      6.688885525018039,
      6.528271033874139,
      6.370386992097287,
      6.21477853000941,
      6.061035257929908,
      5.908799925091424,
      5.757771427119804,
      5.607699194984361,
      5.458393938064046,
      5.309728612915206,
      5.161644594066722,
      5.014156505347086,
      4.867350161136499,
      4.721367341178444,
      4.57640297240143,
      4.432709725972095,
      4.290583971910386,
      4.150361229935131,
      4.012408973235297,
      3.8771152886453697,
      3.744878566641466,
      3.6160931782877577,
      3.491137002909592,
      3.3703618677303595,
      3.2540858529258267,
      3.1425836253239394,
      3.0360816144203824,
      2.934758244270457,
      2.838742738010519,
      2.748113852886022,
      2.662887747528821,
      2.58302129788823,
      2.5084320921217484,
      2.4390047021743,
      2.374585738675523,
      2.314962789331605,
      2.2598682619109907,
      2.2089754019780354,
      2.1619013672439897,
      2.118239695803492,
      2.077574821971162,
      2.0395235016409674,
      2.0037013290066077,
      1.969756456994206,
      1.9374100417593536,
      1.9064449203211342,
      1.876688576543155,
      1.8480058737884335,
      1.820290109975708,
      1.7934451034195913,
      1.7673889766219049,
      1.7420561866697162,
      1.7173938980396186,
      1.6933595686677576,
      1.6699174471014084,
      1.6470365769527244,
      1.6246894183178056,
      1.6028515189408834,
      1.5815027477100483,
      1.56062607501512,
      1.5402052427465152,
      1.52022438341639,
      1.5006680937934658,
      1.481521480830287,
      1.4627701892260296,
      1.4444004139265803,
      1.4263989022884704,
      1.4087529480324639,
      1.3914503466505452,
      1.3744792239384023,
      1.357828561078891,
      1.3414879994279618,
      1.3254475536428922,
      1.3096976136814498,
      1.2942289411759806,
      1.2790326629929427,
      1.264100261112059,
      1.2494235617098663,
      1.2349947230654166,
      1.2208062222501246,
      1.2068508424853257,
      1.1931216593273812,
      1.1796120280514064,
      1.1663155712899338,
      1.1532263253941246,
      1.140338790483035,
      1.127648144587658,
      1.1151501733325788,
      1.102840657354871,
      1.0907152997680598,
      1.078769783784889,
      1.0669998153637648,
      1.0554011539959138,
      1.0439696345317804,
      1.032701182375121,
      1.0215918238035482,
      1.010637692302412,
      0.999835031534982,
      0.989180429589874,
      0.9786713387389625,
      0.968305426052235,
      0.9580811621754672,
      0.9479970644856733,
      0.9380512576989136,
      0.9282416108304767,
      0.9185658339885432,
      0.909021546671072,
      0.8996063253533879,
      0.8903177371509836,
      0.8811533632110733,
      0.872110813891877,
      0.8631877396518827,
      0.8543818376465064,
      0.8456908546292361,
      0.8371125549500755,
      0.8286447395104611,
      0.8202852817670591,
      0.8120321214143535,
      0.8038832606300153,
      0.7958364457617018,
      0.7878890881030388,
      0.7800388023211539,
      0.7722834225209732,
      0.7646209524054178,
      0.757049529354543,
      0.7495673981773875,
      0.7421728915854077,
      0.7348644157481727,
      0.7276404396084053,
      0.7204994868719127,
      0.7134401300007998,
      0.706460985415536,
      0.6995607096732898,
      0.6927382223304591,
      0.6859928633788417,
      0.6793238940771614,
      0.6727305439860608,
      0.6662124220812696,
      0.6597691193436329,
      0.6534000088984372,
      0.64710431788931,
      0.6408811776654602,
      0.6347296590825691,
      0.6286487973241838,
      0.622637608967676,
      0.6166951040976281,
      0.6108202945503721,
      0.6050121994645072,
      0.5992698493799957,
      0.5935922882922818,
      0.5879785755298949,
      0.5824277869054788,
      0.5769390148940368,
      0.5715113691663221,
      0.5661439764136931,
      0.560836407265835,
      0.5555886494960369,
      0.5504004847360011,
      0.5452715084058316,
      0.5402011904890479,
      0.5351889179331258,
      0.5302340241566682,
      0.525335809372996,
      0.5204935553340754,
      0.5157065348758431,
      0.5109740189958806,
      0.506295281234043,
      0.501669601128495,
      0.4970962660488787,
      0.49257457283967926,
      0.4881038285942229,
      0.48368335120087297,
      0.47931246969010616,
      0.4749905242083638,
      0.4707168660015061,
      0.4664908574865514,
      0.46231187198122164,
      0.45817929344834546,
      0.4540925165102229,
      0.45005094612437085,
      0.44605399748062835,
      0.4421010956884025,
      0.4381916754073066,
      0.43432518092966504,
      0.4305010657757886,
      0.4267187925903374,
      0.42297783278111933,
      0.4192776665105673,
      0.4156177824057695,
      0.4119976773170083,
      0.40841685627828384,
      0.4048748321617268,
      0.40137112568759636,
      0.3979052651797,
      0.3944767862445349,
      0.39108523183228094,
      0.38773015196817856,
      0.38441110363743203,
      0.3811276506205161,
      0.3778793633304798,
      0.37466581888078593,
      0.3714866006216517,
      0.36834129808560395,
      0.36522950716420943,
      0.36215082965218165,
      0.35910487320186446,
      0.356091251000421,
      0.35310958216234184,
      0.35015949141389024,
      0.34724060880746593,
      0.34435256961693583,
      0.34149498450800614,
      0.33866731566582625,
      0.3358690162250251,
      0.3330996073622446,
      0.3303586594652058,
      0.32764577909675635,
      0.32496059946261346,
      0.32230277387797096,
      0.31967197106461226,
      0.31706787189304425,
      0.31449021466847943,
      0.31193891513659006,
      0.3094138738701717,
      0.3069149345967375,
      0.30444190184776704,
      0.30199455361902355,
      0.29957265022209306,
      0.2971759406062412,
      0.2948041664667062,
      0.2924570657583408,
      0.29013437460958685,
      0.2878358287891314,
      0.28556116497272716,
      0.2833101214842933,
      0.28108243875608285,
      0.27887785952245475,
      0.27669612924432885,
      0.2745369961936688,
      0.2724002114531511,
      0.2702855290979881,
      0.26819270656101235,
      0.26612153923244203,
      0.26407184497256664,
      0.26204342706982325,
      0.26003607954320973,
      0.2580495905314274,
      0.25608374489157354,
      0.25413832602983444,
      0.2522131170352699,
      0.2503079016039534,
      0.2484224645030839,
      0.24655659216198497,
      0.24471004333669064,
      0.24288255735947,
      0.2410738905354392,
      0.23928381328456697,
      0.2375121065992305,
      0.23575856264647574,
      0.23402298200119095,
      0.23230521736915224,
      0.23060515961842665,
      0.2289226782421049,
      0.22725762607863917,
      0.2256098449138605,
      0.22397916940960821,
      0.22236542981965265,
      0.22076845389712205,
      0.21918806821743714,
      0.21762409915040457,
      0.21607637344760958,
      0.2145447188667361,
      0.21302896426287485,
      0.21152893991078714,
      0.21004447767770304,
      0.20857541116154488,
      0.20712157571926226,
      0.20568280272668837,
      0.2042588944666949,
      0.202849650875264,
      0.20145488643760537,
      0.20007442659520747,
      0.1987081048939683,
      0.19735576130612922,
      0.1960172407535062,
      0.19469239213126988,
      0.19338106770154032,
      0.19208312252371154,
      0.19079841408495563,
      0.18952680209105707,
      0.18826814823900012,
      0.18702231605943903,
      0.1857891708792846,
      0.1845685795609162,
      0.18336041062779745,
      0.1821645341659797,
      0.18098082171797183,
      0.17980914637184825,
      0.17864938260052504,
      0.17750140627096286,
      0.17636509469560618,
      0.17524032644672932,
      0.17412698145449193,
      0.17302494096915594,
      0.17193408762964088,
      0.17085430529443751,
      0.1697854791561814,
      0.1687274956572138,
      0.16768024242163526,
      0.16664360829282387,
      0.16561748340064222,
      0.16460175906697164,
      0.16359632781085562,
      0.16260108324930658,
      0.16161592015426904,
      0.1606407344052419,
      0.15967542309178584,
      0.15871988430824036,
      0.15777401737185653,
      0.1568377226439403,
      0.15591090157726326,
      0.15499345670976444,
      0.1540852934995222,
      0.15318632284018635,
      0.1522964556691845,
      0.15141560234815904,
      0.15054367291742443,
      0.14968057751407157,
      0.14882622666925605,
      0.14798053149184637,
      0.1471434036886938,
      0.14631475572660288,
      0.14549450078688908,
      0.14468255293227011,
      0.1438788269523412,
      0.14308323858670738,
      0.14229570444611808,
      0.14151614194296422,
      0.14074446939002958,
      0.13998060595575423,
      0.13922447163552895,
      0.1384759782866722,
      0.1377349852234098,
      0.13700130754297388,
      0.1362747663455543,
      0.13555517147406163,
      0.13484235944158582,
      0.13413619499962756,
      0.1334365636951816,
      0.1327433664990915,
      0.13205651579134625,
      0.1313759324591453,
      0.13070154367645218,
      0.13003328143891732,
      0.1293710813847609,
      0.12871488199213196,
      0.12806462386328116,
      0.12742024948147068,
      0.1267817025805678,
      0.12614892811063458,
      0.1255218720556416,
      0.12490048112138628,
      0.1242847028331319,
      0.12367448529912586,
      0.12306977738330763,
      0.12247052850566349,
      0.12187667238401101,
      0.12128809284127652,
      0.12070468088370102,
      0.12012634532704984,
      0.11955300815988969,
      0.11898460115342964,
      0.11842106338099352,
      0.11786233933778861,
      0.11730837760346706,
      0.11675912994653063,
      0.11621455049186781,
      0.11567459525997163,
      0.11513922166877827,
      0.11460838825720636,
      0.11408205459743456,
      0.11356018093735203,
      0.11304272825303494,
      0.11252965804918827,
      0.11202093232718532,
      0.11151652679805368,
      0.11101646752815014,
      0.11052077807460667,
      0.1100294647747089,
      0.10954252141045785,
      0.10905993276206949,
      0.10858167700642703,
      0.1081077277148274,
      0.10763805513302069,
      0.10717262713025669,
      0.10671139800127204,
      0.10625428346230087,
      0.10580120349116043,
      0.10535209044512588,
      0.1049068858358837,
      0.10446553803036196,
      0.10402800052526519,
      0.10359423076965094,
      0.10316418911693695,
      0.1027378381002117,
      0.10231514197012764,
      0.10189606639854568,
      0.10148057803489294,
      0.10106864439731535,
      0.10066023370326097,
      0.10025531475372224,
      0.09985385688340223,
      0.09945582984272879,
      0.09906120374537994,
      0.09866994910585278,
      0.09828203679616045,
      0.09789743787014021,
      0.09751612367480293,
      0.09713806582902339,
      0.09676323637514754,
      0.09639160751235372,
      0.09602315168046106,
      0.0956578415236634,
      0.09529565007142896,
      0.09493655051371379,
      0.0945805163584312,
      0.0942275212021981,
      0.0938775389465167,
      0.09353054369077005,
      0.09318650977220119,
      0.09284541179414496,
      0.09250722452811229,
      0.09217192303266361,
      0.0918394824934541,
      0.09150987840736997,
      0.09118308639244271,
      0.09085908236089552,
      0.09053784234335653,
      0.09021934265702808,
      0.08990355975060366,
      0.08959047037401198,
      0.08928005141851615,
      0.08897227999283583,
      0.08866713338541035,
      0.0883645890593937,
      0.08806462510583517,
      0.0877672219591704,
      0.08747236057876795,
      0.08718002134498362,
      0.08689018417420336,
      0.08660282872095598,
      0.0863179345409703,
      0.08603548117098622,
      0.0857554480686298,
      0.08547781472364224,
      0.08520256069919752,
      0.0849296657054917,
      0.08465910960378173,
      0.08439087229643481,
      0.08412493399896229,
      0.08386127499153655,
      0.08359987566334592,
      0.08334071662743715
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.99131528127628,
      10.787830181090381,
      10.57453859218436,
      10.353739164338807,
      10.127716141370025,
      9.898515624181229,
      9.667968403602059,
      9.43770029874132,
      9.209148621515592,
      8.983570804983573,
      8.762024894750848,
      8.545349528075855,
      8.334155270654415,
      8.128828461902925,
      7.929545973488601,
      7.736298292278475,
      7.548919094414358,
      7.3671162474854235,
      7.190501404160012,
      7.018619389935014,
      6.85097497550471,
      6.687056341027472,
      6.526355072860739,
      6.3683828245982825,
      6.212684942264484,
      6.058851420525863,
      5.906525559061502,
      5.755406974572214,
      5.6052457448142885,
      5.455853458524888,
      5.307104339410898,
      5.158940952900333,
      5.011379186153583,
      4.8645060558225595,
      4.718464453978983,
      4.573450580218864,
      4.429718446182359,
      4.287565758502652,
      4.1473288396512205,
      4.009375732543128,
      3.874094855823062,
      3.741884663194821,
      3.6131392441870642,
      3.488235924780124,
      3.36752586212307,
      3.251326262140058,
      3.139910504294172,
      3.0335035772315786,
      2.9322824001320216,
      2.83637477680512,
      2.7458577513430846,
      2.6607449105707115,
      2.580991656386942,
      2.5065145436716136,
      2.4371971353812674,
      2.3728840066482615,
      2.3133602293021918,
      2.258356305784509,
      2.207543124102377,
      2.1605368847425637,
      2.1169309016480153,
      2.076309955852136,
      2.038291876536695,
      2.0024923566619863,
      1.9685615177232563,
      1.9362226828494793,
      1.905260306530783,
      1.8755030413905698,
      1.846816642562047,
      1.819094902769095,
      1.7922421843216003,
      1.7661771337054406,
      1.7408345964507344,
      1.7161619529890282,
      1.6921167626908042,
      1.6686634635273943,
      1.6457712365468575,
      1.6234126754295735,
      1.60156316268575,
      1.580202206103586,
      1.5593126359046572,
      1.5388784081498827,
      1.5188838176632042,
      1.4993135840703726,
      1.4801529069657193,
      1.4613875005532526,
      1.4430036113592832,
      1.4249880247536653,
      1.4073280626041795,
      1.3900114937106456,
      1.373026403125757,
      1.356361842120576,
      1.3400074697949043,
      1.32395331345331,
      1.3081897717581188,
      1.292707612000849,
      1.2774979643016593,
      1.2625523125322293,
      1.2478624838300616,
      1.2334206360168531,
      1.219219244917443,
      1.205251092089542,
      1.1915092513787753,
      1.1779870762640394,
      1.1646781871512288,
      1.151576636210019,
      1.138676948909392,
      1.1259744047716365,
      1.1134648030203522,
      1.101143883537464,
      1.0890073179279431,
      1.0770507648209433,
      1.0652699109644312,
      1.053660500922679,
      1.0422183578165296,
      1.030939397993963,
      1.0198196404227482,
      1.0088552121993533,
      0.9980424631530321,
      0.9873785541828566,
      0.9768609786544853,
      0.9664878377585429,
      0.9562576508742655,
      0.9461685689477763,
      0.9362184553421342,
      0.9264049925922293,
      0.9167257574418017,
      0.907178274657637,
      0.8977600531596334,
      0.8884686120952638,
      0.8793014983102615,
      0.8702562979756265,
      0.8613306443019765,
      0.8525222224517971,
      0.8438287693444273,
      0.8352480409000087,
      0.826777835182044,
      0.818416023492468,
      0.8101605444406376,
      0.8020093985935031,
      0.7939601912950028,
      0.7860103124305111,
      0.77815742273718,
      0.7703993897043458,
      0.7627342411621091,
      0.7551601323605672,
      0.7476753206206775,
      0.7402781479151076,
      0.7329670271740921,
      0.7257404323201312,
      0.718596890642566,
      0.7115349772225337,
      0.7045533103353735,
      0.697650586534769,
      0.6908259583908879,
      0.6840787644056271,
      0.6774081880533742,
      0.6708136888805545,
      0.6642949401223801,
      0.6578513833521513,
      0.65148228653928,
      0.6451868026180945,
      0.6389640108457565,
      0.6328129451189605,
      0.6267326146545765,
      0.6207220179385922,
      0.6147801522298696,
      0.608906020355343,
      0.6030986354083182,
      0.5973570234446272,
      0.5916802254108151,
      0.5860672984676887,
      0.5805173171248614,
      0.5750293731764338,
      0.5696025754336258,
      0.5642362105694892,
      0.5589301927187704,
      0.5536843989630773,
      0.5484984867829653,
      0.5433719646548234,
      0.538304241850598,
      0.533294662694779,
      0.5283425307335474,
      0.5234471255927737,
      0.5186077144905975,
      0.5138235600718204,
      0.5090939263998429,
      0.5044180822113626,
      0.4997953037116571,
      0.4952248760573965,
      0.4907060946278197,
      0.48623826553143884,
      0.4818207059116893,
      0.4774527443602261,
      0.473133720703271,
      0.46886298610394866,
      0.4646399028466556,
      0.46046384413509245,
      0.4563341940331115,
      0.45225034716722684,
      0.4482117085229848,
      0.44421769333566447,
      0.44026772666963576,
      0.43636124332242143,
      0.43249768754553,
      0.42867651283734737,
      0.4248971818335371,
      0.42115916601644554,
      0.41746194562536776,
      0.4138050092336985,
      0.41018785368054694,
      0.40660998397514114,
      0.4030709129461659,
      0.3995701612975259,
      0.3961072573587689,
      0.39268173670896156,
      0.3892931422584753,
      0.3859410240263382,
      0.3826249388427363,
      0.3793444504088394,
      0.37609912912913085,
      0.3728885519718223,
      0.3697123021788534,
      0.3665699692833568,
      0.3634611489771867,
      0.36038544295606256,
      0.35734245884440424,
      0.35433180991996577,
      0.3513531150958933,
      0.34840599895737995,
      0.3454900914463938,
      0.3426050254394107,
      0.33975029735671813,
      0.3369253324781864,
      0.3341296309916102,
      0.3313627472944006,
      0.32862427520424936,
      0.32591383781756916,
      0.32323108001958667,
      0.32057566327605436,
      0.3179472620646671,
      0.31534556115719925,
      0.31277039227953285,
      0.31022168862230304,
      0.3076993197186176,
      0.305203107341923,
      0.3027328405396255,
      0.3002882861989629,
      0.29786919676111223,
      0.29547531535410754,
      0.2931063796869913,
      0.2907621246048173,
      0.2884422841546287,
      0.28614659264788594,
      0.28387478558930657,
      0.2816266004243628,
      0.27940177686695505,
      0.27720005720308283,
      0.2750211864448357,
      0.2728649125386008,
      0.2707309863107317,
      0.26861916162149485,
      0.2665292166614565,
      0.2644609650312094,
      0.2624142123089224,
      0.2603887531503536,
      0.25838437537109676,
      0.2564008627508213,
      0.254437997041898,
      0.2524955593799009,
      0.25057333108905994,
      0.24867109457329323,
      0.24678863385025987,
      0.24492571425465523,
      0.24308207327325712,
      0.24125746115161154,
      0.2394516431655328,
      0.23766439604917805,
      0.2358955083419401,
      0.23414478076335887,
      0.23241207326394595,
      0.23069727267323048,
      0.22900024275838052,
      0.22732083178510232,
      0.2256588776464144,
      0.22401421163861548,
      0.22238666082262892,
      0.22077605001014383,
      0.21918220315347642,
      0.2176049440294846,
      0.21604409702221902,
      0.21449948754879747,
      0.21297094223259236,
      0.2114582892311766,
      0.20996135830041004,
      0.20847998104066062,
      0.20701399063887818,
      0.2055632137819853,
      0.2041274464533868,
      0.20270648833083554,
      0.20130015324346157,
      0.19990826556548474,
      0.19853065759004945,
      0.19716716793679923,
      0.19581763999421845,
      0.19448192118040564,
      0.1931598621156194,
      0.19185131630159372,
      0.19055613965773704,
      0.18927419025619116,
      0.18800532821594487,
      0.1867494154891515,
      0.18550631580567895,
      0.18427589450866752,
      0.1830580185859113,
      0.18185255652808474,
      0.18065937842059093,
      0.1794783557859298,
      0.17830936157032093,
      0.1771522702492884,
      0.17600695767069602,
      0.17487330104222382,
      0.17375117889731792,
      0.17264047124369258,
      0.1715410592709703,
      0.1704528254819903,
      0.16937565372636423,
      0.16830942908547072,
      0.16725403796548483,
      0.16620936792689642,
      0.16517530781700143,
      0.16415174770928803,
      0.16313857883393731,
      0.16213569362034375,
      0.16114298567982338,
      0.16016034972873544,
      0.15918768172488876,
      0.15822487867736412,
      0.15727183870795328,
      0.15632846101434084,
      0.1553946459260447,
      0.15447029476031862,
      0.1535553100441953,
      0.15264959569559525,
      0.15175306122338053,
      0.15086561841729895,
      0.1499871781355265,
      0.1491176508665304,
      0.1482569470976445,
      0.1474049775624094,
      0.146561653437694,
      0.1457268864464161,
      0.14490058922945054,
      0.1440826750205303,
      0.14327305784500016,
      0.1424716525747188,
      0.14167837498595298,
      0.14089314162320152,
      0.14011586989455357,
      0.13934647804921413,
      0.13858488519608544,
      0.1378310049359472,
      0.13708469388712766,
      0.1363457628860386,
      0.1356140363186584,
      0.13488932366535547,
      0.1341714587895113,
      0.13346030432520237,
      0.1327557441625749,
      0.132057677904386,
      0.13136601669974082,
      0.13068068035667474,
      0.13000159511736584,
      0.12932869213890036,
      0.12866190633620506,
      0.12800117546208625,
      0.1273464394461353,
      0.1266976399645025,
      0.1260547201816186,
      0.12541762444027282,
      0.12478629810872999,
      0.12416068738720555,
      0.1235407391363061,
      0.12292640098806377,
      0.12231762121775566,
      0.12171434864366353,
      0.12111653271346122,
      0.12052409649005691,
      0.11993692204144425,
      0.11935490387636805,
      0.11877795340362976,
      0.11820599455327349,
      0.11763896047684878,
      0.11707679114170347,
      0.11651943175343617,
      0.11596683149092563,
      0.11541894245389302,
      0.11487571901626233,
      0.11433711734060878,
      0.11380309500786426,
      0.11327361066505699,
      0.11274862384240679,
      0.112228126811986,
      0.11171215087522095,
      0.11120071312132458,
      0.11069381469104682,
      0.11019144522384547,
      0.10969358600721062,
      0.1092002123684195,
      0.10871129538781904,
      0.10822680315028174,
      0.10774670148245542,
      0.10727095492296175,
      0.10679952699400035,
      0.10633238061538018,
      0.10586947065770752,
      0.10541071535746735,
      0.10495602974878607,
      0.10450534247228303,
      0.1040585922737395,
      0.10361572551620792,
      0.10317669408418843,
      0.10274145408531084,
      0.10230996484173574,
      0.1018821880786508,
      0.10145808747809393,
      0.1010376281387475,
      0.10062077634000782,
      0.10020749915156402,
      0.09979776448517705,
      0.09939154080572389,
      0.09898879713739211,
      0.09858950296995245,
      0.09819362812254034,
      0.09780114290734726,
      0.09741201791356204,
      0.09702622400886285,
      0.09664373235455617,
      0.09626451439627816,
      0.0958885418241138,
      0.09551578664803295,
      0.09514622114725042,
      0.09477981780806664,
      0.09441654938961841,
      0.09405638889516355,
      0.09369930956345925,
      0.09334528487372289,
      0.092994288506907,
      0.09264629439698133,
      0.09230127673205608,
      0.09195920993103958,
      0.09162006857686933,
      0.09128382745823405,
      0.09095046162497224,
      0.09061994636799679,
      0.09029225717474582,
      0.08996736974262128,
      0.08964525998056373,
      0.08932590404315655,
      0.08900927827647684,
      0.08869536143550394,
      0.0883841335018759,
      0.08807557380017275,
      0.0877696611852956,
      0.08746637417058396,
      0.08716569108020561,
      0.0868675901686766,
      0.08657204963221983,
      0.0862790478043034,
      0.08598856308432604,
      0.08570057397494872,
      0.08541505911334021,
      0.08513199722016346,
      0.08485136718896118,
      0.0845731480679479,
      0.08429731912509418,
      0.08402385981235201,
      0.08375274976232375,
      0.08348396862657309,
      0.08321749635937514,
      0.0829533130953723,
      0.08269139910436285,
      0.08243173482930398,
      0.08217430083583431
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991303446152584,
      10.787777298227379,
      10.57442268398303,
      10.353543462598502,
      10.12742878940974,
      9.898129238974448,
      9.667479388849776,
      9.43710802907885,
      9.20845419070027,
      8.982776400978263,
      8.761133350213301,
      8.544363967305872,
      8.333078791746928,
      8.127663877335957,
      7.928295615354399,
      7.734963886464486,
      7.547501752012383,
      7.365616433526212,
      7.188918961054442,
      7.016953629187317,
      6.849224797917709,
      6.685220377415112,
      6.524431839958557,
      6.366370889570245,
      6.210583090933608,
      6.056658825639498,
      5.904241945953905,
      5.753032790620625,
      5.60278208285513,
      5.453302294934534,
      5.304468923619111,
      5.156225731125871,
      5.008589872788105,
      4.8616495617346285,
      4.715548799853532,
      4.570485072312929,
      4.426713737360382,
      4.284533841361298,
      4.144282512072665,
      4.006328362364294,
      3.8710601408150636,
      3.738876361989819,
      3.6101708319069497,
      3.485320319214888,
      3.364675407534954,
      3.248552317490163,
      3.1372231369197805,
      3.0309114081318063,
      2.9297925400079827,
      2.8339929145792544,
      2.7435878636151734,
      2.658588405894398,
      2.578948467532746,
      2.5045835686115057,
      2.4353762649459143,
      2.371168917994106,
      2.311744069191056,
      2.2568303654262456,
      2.2060965809258284,
      2.1591579631074596,
      2.1156075984503855,
      2.0750306056354395,
      2.0370455866809025,
      2.001268630227309,
      1.9673518757969997,
      1.9350207729890607,
      1.9040613455405906,
      1.87430340417745,
      1.845613593008747,
      1.8178861862186935,
      1.7910260790646366,
      1.7649524337897728,
      1.7396004792258462,
      1.7149178084361518,
      1.6908620790425979,
      1.6673979173798787,
      1.6444946400412472,
      1.6221249742128216,
      1.6002642144799117,
      1.578891452057493,
      1.5579893309583888,
      1.5375420271750235,
      1.517534002399518,
      1.4979501021552686,
      1.478775621266189,
      1.459996345419136,
      1.441598574949875,
      1.4235691349045667,
      1.4058953757817432,
      1.3885650021092582,
      1.3715661080720714,
      1.3548878134571922,
      1.3385197937248587,
      1.3224520878320694,
      1.3066751023337235,
      1.2911796099055548,
      1.2759567437241692,
      1.2609979891266903,
      1.2462951734522898,
      1.2318404541408738,
      1.2176263064254966,
      1.2036455102124426,
      1.189891137920994,
      1.1763565411283754,
      1.1630353379746567,
      1.149921597084519,
      1.1370098700297613,
      1.1242955512114612,
      1.1117744368563944,
      1.0994422268079989,
      1.0872945614303,
      1.0753270753000779,
      1.0635354364951157,
      1.0519153747945733,
      1.0404627020450972,
      1.0291733254426172,
      1.018043256962958,
      1.0070686186054938,
      0.9962462756316466,
      0.9855736199916509,
      0.9750483826127692,
      0.9646689545710053,
      0.9544335193318896,
      0.9443399377546505,
      0.9343858658682136,
      0.9245688382577495,
      0.9148863265078645,
      0.9053357799631424,
      0.8959146542554459,
      0.8866204305312122,
      0.877450628956008,
      0.8684028164485444,
      0.8594746127577687,
      0.850663693647811,
      0.8419677878662231,
      0.8333846446049363,
      0.8249120599175893,
      0.8165479039260862,
      0.808290114514738,
      0.8001366195853623,
      0.7920849156189423,
      0.7841324440404077,
      0.7762769027302121,
      0.7685161857827718,
      0.7608483404056811,
      0.7532715357654262,
      0.7457840396466221,
      0.7383842015058424,
      0.7310704396261755,
      0.7238412318163211,
      0.7166951083446004,
      0.7096306464889649,
      0.7026464661387324,
      0.6957414217791884,
      0.6889148235699784,
      0.6821659188125069,
      0.6754939822171976,
      0.6688986834310505,
      0.6623795529949379,
      0.6559359139583298,
      0.6495669507584696,
      0.6432717573054904,
      0.637049371158275,
      0.6308987972538936,
      0.6248190242668424,
      0.6188090361188784,
      0.6128678200283565,
      0.6069943719157812,
      0.6011876997213217,
      0.5954468261768328,
      0.5897707899752731,
      0.5841586468993378,
      0.5786094702292857,
      0.5731223508178545,
      0.5676964045416404,
      0.5623313110596626,
      0.5570270581098089,
      0.5517833741819816,
      0.5465998127923186,
      0.5414758097301752,
      0.5364107232511037,
      0.5314038621290964,
      0.5264545052732228,
      0.5215619149852029,
      0.5167253463189673,
      0.5119440537723677,
      0.5072172955888332,
      0.5025443365516347,
      0.4979244500447244,
      0.4933569193139376,
      0.48884103844396376,
      0.4843761126992477,
      0.4799614587684296,
      0.4755964048119422,
      0.4712802905954839,
      0.46701246707575067,
      0.4627922965330861,
      0.45861915215907123,
      0.45449241806650453,
      0.4504114888835588,
      0.4463757696453742,
      0.44238467562767325,
      0.4384376318181248,
      0.4345340731193287,
      0.4306734438093888,
      0.4268551974819635,
      0.4230787966766245,
      0.4193437129132196,
      0.4156494264440285,
      0.41199542587670374,
      0.4083812079987229,
      0.4048062778547263,
      0.401270148263867,
      0.3977723398706871,
      0.39431238083942305,
      0.3908898068545701,
      0.387504160740118,
      0.3841549922580391,
      0.38084185828869843,
      0.3775643226575238,
      0.37432195553131214,
      0.37111433373155145,
      0.36794104059261956,
      0.36480166559391064,
      0.3616958042744838,
      0.3586230583027871,
      0.35558303521978485,
      0.35257534815939334,
      0.34959961597939243,
      0.34665546309114104,
      0.3437425193690544,
      0.34086032831550717,
      0.33800831297168393,
      0.33518594872875856,
      0.33239277089355657,
      0.32962835856781547,
      0.3268923230124956,
      0.32418429951333494,
      0.32150394156158363,
      0.31885091665421184,
      0.31622490355898664,
      0.31362563302138424,
      0.311053012295983,
      0.30850694463724126,
      0.3059872743958593,
      0.30349380544050786,
      0.3010263139861567,
      0.2985845578383047,
      0.296168282888056,
      0.2937772276336026,
      0.29141112653348866,
      0.2890697121022728,
      0.28675271658413853,
      0.28445987291773595,
      0.28219091567042587,
      0.2799455815004856,
      0.2777236095945862,
      0.27552474178959524,
      0.27334872283741085,
      0.27119530033057065,
      0.26906422483583814,
      0.2669552592258899,
      0.2648682089886004,
      0.26280288236864946,
      0.26075907506532625,
      0.25873657462844474,
      0.25673516387622713,
      0.25475462305611907,
      0.25279473126599766,
      0.2508552676623558,
      0.2489360122827063,
      0.24703674645917661,
      0.24515724243743486,
      0.24329723615010193,
      0.24145647148713584,
      0.2396347084849281,
      0.23783171948269574,
      0.23604728934077765,
      0.23428122091548748,
      0.23253337972323235,
      0.2308036463388796,
      0.22909187938772868,
      0.22739792285857754,
      0.22572161092549473,
      0.22406277139369968,
      0.22242122832938122,
      0.22079680387108877,
      0.21918931925472518,
      0.217598595845357,
      0.21602445555584798,
      0.21446672141782316,
      0.21292521774713855,
      0.21139977052820808,
      0.20989020747118117,
      0.2083963579337297,
      0.20691805312668907,
      0.20545511428190627,
      0.20400733247235542,
      0.20257450686158204,
      0.20115645035018145,
      0.19975298619647394,
      0.19836394546366617,
      0.19698916519445686,
      0.19562848729396246,
      0.1942817575565262,
      0.19294882502384683,
      0.19162954155742135,
      0.19032376144580349,
      0.18903134104480138,
      0.1877521388314663,
      0.18648601521033006,
      0.18523283227467258,
      0.18399245382726973,
      0.18276474533030362,
      0.18154957372023836,
      0.18034680749437312,
      0.1791563167002978,
      0.17797797284118336,
      0.1768116489000071,
      0.17565721925402003,
      0.17451455959315368,
      0.1733835470718254,
      0.1722640602614034,
      0.1711559789803612,
      0.17005918440781387,
      0.16897355904890704,
      0.16789898672990614,
      0.16683535249541942,
      0.16578254266244244,
      0.1647404447002322,
      0.1637089474065071,
      0.16268794083337026,
      0.16167731621753093,
      0.16067696597154285,
      0.15968678362790023,
      0.15870666386320748,
      0.15773650250686544,
      0.15677619655998093,
      0.15582564412916966,
      0.1548847443512882,
      0.1539533975567234,
      0.15303150506162486,
      0.1521189692940156,
      0.1512156937010855,
      0.15032158555330566,
      0.14943655680535084,
      0.1485605190195204,
      0.14769338313518163,
      0.146835059991519,
      0.14598546062062515,
      0.14514449635635965,
      0.14431207905189386,
      0.14348812136278577,
      0.1426725365617222,
      0.14186523877524526,
      0.1410661428988606,
      0.14027516464209513,
      0.13949222060183714,
      0.13871722821117224,
      0.1379501056532827,
      0.13719076802052232,
      0.13643906913248985,
      0.13569481566785813,
      0.13495783327856178,
      0.13422793375428818,
      0.1335049480959583,
      0.13278873675252453,
      0.13207918185549747,
      0.131376181465163,
      0.1306796455195582,
      0.12998949279570607,
      0.1293056485475455,
      0.1286280430529098,
      0.1279566104021736,
      0.127291287587917,
      0.12663201391078868,
      0.12597873043897223,
      0.12533137960110532,
      0.12468990504534508,
      0.12405425159208255,
      0.12342436479645622,
      0.12280019098445426,
      0.12218167721540987,
      0.12156877118361478,
      0.12096142110945832,
      0.12035957581702296,
      0.11976318477564396,
      0.11917216080074189,
      0.1185863843216197,
      0.11800575323244765,
      0.11743018140046921,
      0.11685959458283875,
      0.11629392721643657,
      0.11573312030339013,
      0.11517711972924656,
      0.11462587515318266,
      0.11407933900207246,
      0.11353746588212979,
      0.11300025768667242,
      0.11246774664638096,
      0.11193994475454148,
      0.11141684894185501,
      0.11089844534856731,
      0.11038471238412832,
      0.10987562271992408,
      0.10937114511343243,
      0.10887124558722569,
      0.10837588813938363,
      0.10788503556687923,
      0.10739864972425829,
      0.10691669190599865,
      0.10643912312474196,
      0.10596590431202009,
      0.10549699648688132,
      0.10503235686821286,
      0.10457190826229547,
      0.1041155619035362,
      0.10366324360831096,
      0.10321488991182369,
      0.10277044549514595,
      0.10232986102557559,
      0.10189309156735801,
      0.10146009568993841,
      0.1010308344816822,
      0.10060527096140844,
      0.1001833697898194,
      0.09976509680300578,
      0.09935041877936131,
      0.09893930328011262,
      0.09853171851819381,
      0.09812763314715534,
      0.09772701636309501,
      0.09732983790720896,
      0.09693606768212257,
      0.0965456759924457,
      0.09615863350676424,
      0.09577491118928798,
      0.09539448025804123,
      0.09501731227127029,
      0.09464337903698052,
      0.09427265265064567,
      0.09390510536856846,
      0.09354070969183942,
      0.0931794384193626,
      0.09282126457478466,
      0.09246616143604033,
      0.09211410254034559,
      0.09176506157592272,
      0.09141901246481285,
      0.0910759294212634,
      0.0907357868839998,
      0.09039855951301982,
      0.09006422220613089,
      0.08973275085405767,
      0.08940412414344955,
      0.08907832047181674,
      0.08875531765474744,
      0.08843509318368474,
      0.0881176242725346,
      0.08780288794776164,
      0.08749086120750624,
      0.08718152114902608,
      0.08687484486735675,
      0.08657080953837736,
      0.08626939255323514,
      0.08597057136706257,
      0.08567432361545507,
      0.08538062714855017,
      0.0850894599071946,
      0.08480080006006484,
      0.08451462598283703,
      0.08423091621248152,
      0.08394964938953006,
      0.0836708043853093,
      0.08339436025812152,
      0.08312029631835877,
      0.08284859202297157,
      0.0825792269147292,
      0.08231218084197015,
      0.08204743378181475,
      0.08178496580377519,
      0.08152475725338765,
      0.08126678852633265,
      0.08101104028822274
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991291613978918,
      10.787724407227818,
      10.574306729270399,
      10.353347651133067,
      10.12714123346022,
      9.897742523927851,
      9.666989880767572,
      9.436515031726152,
      9.207758736561514,
      8.981980650543802,
      8.76024011361032,
      8.54337634960039,
      8.331999877680875,
      8.126496467892418,
      7.927042033140107,
      7.733625849545118,
      7.546080362710696,
      7.364112148559378,
      7.187331616485362,
      7.0152825302744235,
      6.84746883977458,
      6.683378186763516,
      6.522501930667952,
      6.36435182687187,
      6.208473660865459,
      6.054458203800488,
      5.901949864399911,
      5.750649701324958,
      5.600309080883554,
      5.450741364663821,
      5.301823326825636,
      5.153499933409619,
      5.005789613764367,
      4.8587817782100995,
      4.712621534434848,
      4.567507658909196,
      4.4236968599031785,
      4.281489525493191,
      4.141223589585407,
      4.0032682356077895,
      3.868012541627062,
      3.7358550813771387,
      3.6071893737040464,
      3.4823916262803825,
      3.3618118485183928,
      3.245765272434243,
      3.1345226889872713,
      3.0283061891322736,
      2.9272896661441874,
      2.8315980775574934,
      2.7413050437528845,
      2.656419018869571,
      2.5768924518052536,
      2.502639826958162,
      2.4335426931728223,
      2.369441201451866,
      2.3101150318448087,
      2.255291051939409,
      2.2046362869434413,
      2.1577650350602804,
      2.1142701501928376,
      2.0737370786997893,
      2.035784769729662,
      2.0000301080998617,
      1.9661273591426436,
      1.9338040467462125,
      1.9028477197002638,
      1.8730893210876047,
      1.8443963649166304,
      1.8166635899607064,
      1.7897964119776093,
      1.7637145000487844,
      1.7383534593519898,
      1.7136610903425022,
      1.689595146947831,
      1.6661204408898862,
      1.643206424011724,
      1.6208259561325793,
      1.5989542488684534,
      1.5775700958746501,
      1.5566559032901535,
      1.5361959436894916,
      1.5161748570012141,
      1.4965776240010338,
      1.4773896418195596,
      1.4585967731306224,
      1.4401853759540124,
      1.4221423186764965,
      1.404454981792345,
      1.3871110025323952,
      1.3700984959190692,
      1.3534066501911257,
      1.3370251579498666,
      1.3209440703086566,
      1.3051538023985707,
      1.28964513227658,
      1.2744091966031774,
      1.2594374826306345,
      1.2447218183702948,
      1.2302543611674062,
      1.216027585307511,
      1.2020342698766184,
      1.1882674856980378,
      1.1747205826994973,
      1.161387186533254,
      1.1482613787601834,
      1.1353377442394712,
      1.122611783803932,
      1.110079280326057,
      1.097735895211834,
      1.085577238986852,
      1.0735989229732597,
      1.0617965974838495,
      1.0501659784751067,
      1.0387028665219122,
      1.0274031600838316,
      1.016262864260964,
      1.0052785111635205,
      0.9944473257996668,
      0.9837667120184782,
      0.9732348300597933,
      0.9628498910670202,
      0.9526097607670043,
      0.9425120731596895,
      0.9325543225996122,
      0.9227339284800292,
      0.9130482801988536,
      0.9034947686763426,
      0.8940708078225765,
      0.8847738494348103,
      0.8756013923970142,
      0.8665509890265175,
      0.8576202488103548,
      0.8488068403795863,
      0.8401084859002093,
      0.8315229288053021,
      0.8230479641000956,
      0.8146814613767562,
      0.8064213581863283,
      0.7982655104594821,
      0.7902113063023348,
      0.7822562388096036,
      0.7743980426254117,
      0.7666346386280626,
      0.7589640935803249,
      0.7513845905900749,
      0.7438944076761992,
      0.7364919017280824,
      0.7291754967621327,
      0.7219436745492029,
      0.7147949680829896,
      0.7077279566612801,
      0.7007412822100697,
      0.6938340409723335,
      0.6870055599848858,
      0.6802550398482707,
      0.6735820159507934,
      0.6669861249672981,
      0.6604667560591677,
      0.6540231326705669,
      0.6476543688935895,
      0.641359509117796,
      0.6351375560183565,
      0.6289874900743032,
      0.6229082828407434,
      0.6168989061319541,
      0.6109583386231966,
      0.6050855703033653,
      0.5992796051533616,
      0.5935394630297759,
      0.5878641808919556,
      0.5822528131262587,
      0.5767044320413919,
      0.5712181280068462,
      0.5657932698105131,
      0.5604298076070475,
      0.5551275644265486,
      0.5498861547850221,
      0.5447050523322476,
      0.539583637062218,
      0.5345212282179427,
      0.5295171072715796,
      0.524570534135356,
      0.5196807578788677,
      0.5148470245354064,
      0.5100685822276622,
      0.5053446847270701,
      0.5006745937152023,
      0.4960575804441193,
      0.4914929270074541,
      0.4869799265923664,
      0.4825178837590359,
      0.4781061148777964,
      0.4737439478627586,
      0.4694307222713935,
      0.4651657891621424,
      0.46094851066026826,
      0.456778259995865,
      0.45265442135446754,
      0.44857638936297506,
      0.44454356915268317,
      0.44055537598335154,
      0.4366112349625826,
      0.4327105809886356,
      0.4288528584089124,
      0.42503752080132673,
      0.42126403070077467,
      0.41753185962809436,
      0.41384048773473325,
      0.4101894036237127,
      0.4065781041688462,
      0.40300609440917845,
      0.3994728870613717,
      0.39597800274334677,
      0.3925209696130608,
      0.38910132318600166,
      0.38571860628048393,
      0.3823723688112386,
      0.3790621675593391,
      0.3757875660957086,
      0.3725481347322809,
      0.36934345022120557,
      0.3661730957359469,
      0.3630366607026751,
      0.35993374050713617,
      0.35686393656037757,
      0.3538268563167661,
      0.3508221130164316,
      0.34784932538054814,
      0.34490811781847336,
      0.34199807763481466,
      0.3391186357580696,
      0.33626924099869,
      0.3334494085501367,
      0.33065870202271674,
      0.32789672038764284,
      0.32516308900605856,
      0.32245745291756245,
      0.31977947246638105,
      0.3171288199888789,
      0.3145051776540064,
      0.31190836436232267,
      0.3093383109265192,
      0.3067948889505088,
      0.30427792025499917,
      0.3017871926803213,
      0.2993224711867715,
      0.2968835054647357,
      0.2944700356473014,
      0.2920817961466363,
      0.2897185182901673,
      0.287379932491925,
      0.28506576935638583,
      0.28277576064789617,
      0.2805096400915597,
      0.27826714370293704,
      0.2760480100941949,
      0.2738519807572309,
      0.2716787999182405,
      0.2695282149051079,
      0.2673999777657534,
      0.26529387976699853,
      0.2632097322585458,
      0.26114733222218284,
      0.25910646728898035,
      0.25708691933955063,
      0.255088467008395,
      0.2531108875477052,
      0.2511539579940634,
      0.2492174559604659,
      0.24730116042580677,
      0.2454048459252011,
      0.24352825298850017,
      0.24167111848122724,
      0.23983319691550287,
      0.23801425591203676,
      0.23621407633989766,
      0.23443246277579305,
      0.23266928583043714,
      0.23092441995744678,
      0.2291977186919483,
      0.227489021588862,
      0.2257981590936654,
      0.22412495577247732,
      0.2224692326898503,
      0.22083080910886874,
      0.21920950360901245,
      0.21760513493108685,
      0.2160175226678591,
      0.21444648747137215,
      0.212891851529164,
      0.21135343852202432,
      0.20983107385221503,
      0.20832458474851637,
      0.20683380035064922,
      0.20535853520173622,
      0.20389857737741696,
      0.20245372532401898,
      0.201023790896431,
      0.19960859602702738,
      0.1982079703085923,
      0.196821749279131,
      0.19544977321067483,
      0.19409188636001487,
      0.19274793610553634,
      0.19141777251431608,
      0.19010124821041827,
      0.18879821803529703,
      0.18750853877848683,
      0.18623206909279166,
      0.18496866942767395,
      0.18371820205719014,
      0.18248053074481946,
      0.18125552090880315,
      0.18004303951257894,
      0.17884295513819393,
      0.17765513770833663,
      0.17647945870896076,
      0.17531579095809122,
      0.1741640088372622,
      0.17302398806973004,
      0.17189560573170706,
      0.1707787402424517,
      0.1696732714349073,
      0.1685790804017741,
      0.167496049625509,
      0.1664240628200987,
      0.16536300505021623,
      0.16431276256211655,
      0.16327322285385598,
      0.16224427457100335,
      0.1612258077373014,
      0.1602177135950565,
      0.15921988442435064,
      0.15823221368983612,
      0.1572545960514731,
      0.15628692736017488,
      0.15532910454285007,
      0.15438102563089712,
      0.15344258985611176,
      0.15251369738784984,
      0.1515942495377713,
      0.15068414865657306,
      0.14978329822519412,
      0.14889160367441628,
      0.14800897597308907,
      0.1471353274570516,
      0.14627056965504875,
      0.14541461376254905,
      0.14456737109509513,
      0.14372875317868078,
      0.14289867199987524,
      0.14207704025709147,
      0.14126377139169088,
      0.14045877943694424,
      0.13966197936533103,
      0.13887328685350253,
      0.1380926184761692,
      0.13731989168020423,
      0.1365550230707255,
      0.13579786335621846,
      0.13504821498296626,
      0.1343059050125895,
      0.1335707475694712,
      0.13284257090288815,
      0.1321212332379693,
      0.131406614873879,
      0.13069861238468108,
      0.12999713439724658,
      0.12930209859840502,
      0.128613429387945,
      0.12793105616769618,
      0.12725491219689353,
      0.12658493376133778,
      0.12592105938588252,
      0.12526322941153123,
      0.12461138575126049,
      0.12396547144174933,
      0.12332543056822157,
      0.12269120807859715,
      0.12206274974748282,
      0.12144000204733646,
      0.12082291200339464,
      0.12021142736215976,
      0.11960549643813911,
      0.11900506810902568,
      0.11841009005151538,
      0.11782046588672257,
      0.11723607614995625,
      0.11665682186049935,
      0.11608261905544091,
      0.11551339506475597,
      0.11494908556786937,
      0.11438963482355374,
      0.11383504071550973,
      0.11328532863742685,
      0.11274050477416472,
      0.11220056146344107,
      0.1116654810179285,
      0.11113523850310153,
      0.1106098039018382,
      0.11008914355932474,
      0.10957322125132003,
      0.10906199893055762,
      0.10855543745964977,
      0.10805349700898374,
      0.10755613715909182,
      0.1070633172997647,
      0.10657499672926683,
      0.10609113491860447,
      0.10561169147726789,
      0.10513662620867512,
      0.10466589906427298,
      0.10419947032120931,
      0.10373726787470759,
      0.10327919961083423,
      0.1028251887927993,
      0.1023751700655925,
      0.10192908655771915,
      0.10148688778556789,
      0.10104852792599903,
      0.10061396481297237,
      0.10018315892293618,
      0.0997560728031492,
      0.09933267063499662,
      0.0989129177526485,
      0.09849678058004759,
      0.09808422633623358,
      0.09767522298579528,
      0.09726973898196464,
      0.09686774329818053,
      0.09646920525128642,
      0.09607409463181628,
      0.09568238144756061,
      0.09529403608179257,
      0.09490902928102679,
      0.09452733208052554,
      0.09414891587093005,
      0.09377375218624752,
      0.0934018128104494,
      0.09303306977048448,
      0.09266749550838274,
      0.09230506253316602,
      0.09194574372857421,
      0.09158951218466926,
      0.0912363411894888,
      0.0908862042467512,
      0.09053907662716698,
      0.09019493591601432,
      0.08985375922932327,
      0.08951552314518563,
      0.08918020378506647,
      0.08884777698874421,
      0.08851821854534382,
      0.08819150420812322,
      0.08786760982324322,
      0.08754651122362209,
      0.08722818444101792,
      0.08691260558780413,
      0.08659975094255824,
      0.08628959703654539,
      0.08598212053104463,
      0.08567729820983752,
      0.08537510714995628,
      0.08507552452489558,
      0.08477852777710992,
      0.08448409449876391,
      0.08419220242124234,
      0.08390282949433868,
      0.08361595388352233,
      0.08333155399339677,
      0.08304960839683292,
      0.08277009578360187,
      0.08249299505601629,
      0.08221828534248697,
      0.08194594591651953,
      0.08167595628177245,
      0.08140829607670913,
      0.08114294508779743,
      0.08087988338413185,
      0.08061909115753356,
      0.0803605486964545,
      0.08010423651949887,
      0.07985013535375475
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.99127978699324,
      10.787671520602895,
      10.574190757176021,
      10.353151776455542,
      10.126853544590078,
      9.89735558297517,
      9.666500021220841,
      9.435921517740384,
      9.207062564528675,
      8.981183949902753,
      8.759345667201725,
      8.542387240265962,
      8.330919170128862,
      8.12532694680076,
      7.9257860064011805,
      7.7322850231756535,
      7.54465582857993,
      7.362604352936197,
      7.185740386755024,
      7.013607165108515,
      6.845708228390255,
      6.6815309504448415,
      6.52056657908349,
      6.362326924577121,
      6.2063579943797125,
      6.052250952619753,
      5.8996507669177705,
      5.748259214961638,
      5.597828305287778,
      5.448172292598087,
      5.299169233840381,
      5.150765303149195,
      5.002980209113251,
      4.855904558499004,
      4.709684560529349,
      4.564520287201781,
      4.420669800238258,
      4.278434831955787,
      4.1381541232758074,
      4.000197427919962,
      3.864954151596693,
      3.7328229233121553,
      3.6041969724690825,
      3.4794519428494355,
      3.35893726762772,
      3.242967187656045,
      3.1318111931205195,
      3.025689919244266,
      2.924775739298056,
      2.829192184409272,
      2.7390111643222337,
      2.6542385735503404,
      2.5748253832201105,
      2.5006850413013244,
      2.4316980900863623,
      2.3677024560370774,
      2.3084749662525126,
      2.253740455169781,
      2.203164261350402,
      2.1563599415255448,
      2.1129200479246917,
      2.072430543662562,
      2.0345107337431734,
      1.9987781271078253,
      1.9648893196208201,
      1.9325738594954756,
      1.9016207853066154,
      1.8718621463704048,
      1.843166303830356,
      1.8154284467247603,
      1.7885545011057207,
      1.7624646337694907,
      1.7370948210587813,
      1.7123930781834176,
      1.688317245016358,
      1.6648323076233034,
      1.6419078526693287,
      1.6195168734305232,
      1.5976346494485723,
      1.5762396948174255,
      1.555314000012359,
      1.5348418660636625,
      1.5148081298220941,
      1.4951979220566631,
      1.4759967533945564,
      1.4571905721431595,
      1.4387658006111068,
      1.4207093551344276,
      1.403008605221981,
      1.385651140809182,
      1.3686251641538973,
      1.351919908656353,
      1.3355250835370607,
      1.3194307510609768,
      1.3036273342095486,
      1.2881056165827482,
      1.2728567380505709,
      1.2578721877297374,
      1.2431437943227948,
      1.2286637151170567,
      1.2144244239108066,
      1.200418698479849,
      1.186639608338808,
      1.1730805018635204,
      1.1597350126340997,
      1.1465972355760792,
      1.1336618390788513,
      1.12092439548655,
      1.1083806425977427,
      1.096026207104643,
      1.0838566728001153,
      1.0718676304462358,
      1.0600547139607737,
      1.0484136266941582,
      1.0369401592681624,
      1.025630202522528,
      1.014479965507453,
      1.0034865051432253,
      0.9926470367729299,
      0.9819593620857994,
      0.9714216526084261,
      0.9610317844712614,
      0.9507873729789967,
      0.9406858733752911,
      0.9307246525154403,
      0.9209010387294958,
      0.9112123567666106,
      0.9016559516311887,
      0.8922292045422312,
      0.8829295440787595,
      0.8737544528682967,
      0.8647014719460026,
      0.8557682028704675,
      0.8469523085936899,
      0.8382515061940806,
      0.8296635342723581,
      0.821186187299876,
      0.8128173343914501,
      0.8045549130166354,
      0.7963966519577504,
      0.7883399042818007,
      0.7803822093307164,
      0.7725213354713049,
      0.7647552278039818,
      0.7570819708127061,
      0.7494997603338917,
      0.7420068838226076,
      0.7346017049099631,
      0.7272826522773312,
      0.7200482115060571,
      0.7128969184947433,
      0.7058273543856379,
      0.6988383013814166,
      0.6919290376041639,
      0.6850987972135092,
      0.6783469442561902,
      0.6716731464617848,
      0.6650768795201424,
      0.658557419954953,
      0.652113911646884,
      0.6457454126176115,
      0.6394509278115827,
      0.6332294321477473,
      0.6270798865843031,
      0.621001248853424,
      0.614992481395662,
      0.6090525563699689,
      0.6031804590327731,
      0.5973751901362714,
      0.5916357672576473,
      0.5859612257541664,
      0.5803506191233392,
      0.574803019154733,
      0.569317584086014,
      0.5638940704817113,
      0.558532410923427,
      0.5532322904433311,
      0.5479932269761575,
      0.5428146267553385,
      0.5376958225954046,
      0.5326361007062853,
      0.5276347197399648,
      0.5226909232788176,
      0.5178039493710178,
      0.5129730362805769,
      0.5081974267388288,
      0.5034763707644676,
      0.4988091277255156,
      0.49419496734714097,
      0.48963317038391685,
      0.4851230291643811,
      0.48066384783406085,
      0.4762549425797906,
      0.4718956410749208,
      0.46758528274882855,
      0.4633232185348164,
      0.4591088107083918,
      0.4549414325878248,
      0.45082046832733436,
      0.4467453127016748,
      0.4427153708068384,
      0.4387300578556192,
      0.4347887990687977,
      0.4308910293069944,
      0.4270361929519643,
      0.42322374358040254,
      0.4194531438630132,
      0.41572386525755434,
      0.41203538792780037,
      0.40838720053358574,
      0.40477879986727666,
      0.4012096908445626,
      0.39767938616377474,
      0.3941874064231636,
      0.39073327978030714,
      0.3873165418159137,
      0.3839367352965096,
      0.3805934099638265,
      0.37728612255376937,
      0.37401443653760374,
      0.3707779222214528,
      0.36757615631421253,
      0.36440872177719624,
      0.36127520795607315,
      0.3581752102330711,
      0.3551083299362698,
      0.35207417445560174,
      0.34907235680323756,
      0.34610249563540796,
      0.34316420197714176,
      0.3402569429650904,
      0.3373801381934655,
      0.33453328101013463,
      0.33171591808197054,
      0.32892763516783563,
      0.32616804682479317,
      0.3234367893490427,
      0.3207335156028812,
      0.3180578915190226,
      0.3154095931501813,
      0.31278834227349256,
      0.31019403558046293,
      0.30762657985380343,
      0.30508582060375733,
      0.30257156121392437,
      0.30008357632004684,
      0.2976216213583105,
      0.2951854392222191,
      0.2927747652482031,
      0.29038933038324033,
      0.2880288635517144,
      0.28569309323059267,
      0.2833817487474251,
      0.2810945608997193,
      0.2788312626102187,
      0.2765915893027165,
      0.27437527916593585,
      0.27218207329318866,
      0.2700117157627473,
      0.2678639536213661,
      0.2657385605533681,
      0.263635344846564,
      0.2615541057816516,
      0.25949463173235116,
      0.2574567040646685,
      0.2554401002538721,
      0.2534445958365764,
      0.2514699657652607,
      0.24951598537400435,
      0.24758243107357825,
      0.24566908020662806,
      0.2437756780974926,
      0.2419019545280483,
      0.24004765809376297,
      0.23821255159386182,
      0.2363964118880524,
      0.23459904522627087,
      0.23282032651139117,
      0.23106012409385734,
      0.22931828660792491,
      0.22759464944690483,
      0.2258890393786256,
      0.2242012775855701,
      0.2225311821209047,
      0.22087856944639128,
      0.2192432554650473,
      0.21762505642161317,
      0.21602378940703967,
      0.21443927278715616,
      0.21287132630259833,
      0.21131977151541462,
      0.20978443159771853,
      0.20826513158275284,
      0.20676169841667635,
      0.20527394018253967,
      0.2038016420300264,
      0.2023446015646987,
      0.20090262948068838,
      0.19947554630240552,
      0.19806318010325272,
      0.19666536483652755,
      0.1952819391066741,
      0.19391274546540171,
      0.19255762955571457,
      0.1912164398770467,
      0.18988902736830485,
      0.18857524506274917,
      0.18727494806723669,
      0.18598799343332964,
      0.1847142400092257,
      0.1834535483351171,
      0.18220578056914066,
      0.1809708005327376,
      0.17974847367219285,
      0.17853866691034337,
      0.1773412487065817,
      0.176156088994346,
      0.17498305922481802,
      0.17382203218622444,
      0.17267288219642243,
      0.17153548493123055,
      0.17040971732043572,
      0.16929545785508276,
      0.16819258626328212,
      0.16710098363558465,
      0.16602053231902963,
      0.16495111596143522,
      0.16389261958547355,
      0.1628449293426011,
      0.1618079326905989,
      0.16078151832702892,
      0.15976557624145094,
      0.15875999747266145,
      0.15776467429571203,
      0.15677950013922948,
      0.15580436969751096,
      0.15483917869039998,
      0.15388382405946918,
      0.1529382037606961,
      0.15200221696792476,
      0.15107576392389552,
      0.15015874589697017,
      0.14925106516013847,
      0.14835262517055442,
      0.14746333036499001,
      0.14658308974925152,
      0.1457118162635109,
      0.14484942210931606,
      0.1439958188956986,
      0.14315091825892645,
      0.14231463197955577,
      0.14148687221407244,
      0.1406675517719946,
      0.13985658407720863,
      0.13905388328384782,
      0.1382593642928189,
      0.13747294293641202,
      0.13669453573332468,
      0.13592406008524757,
      0.13516136376994223,
      0.1344062456853641,
      0.133658534176583,
      0.1329180457387086,
      0.13218460574348903,
      0.13145807019006783,
      0.13073831757765014,
      0.13002524305510324,
      0.12931875399602788,
      0.12861876701402405,
      0.1279252054715089,
      0.1272379978283814,
      0.12655707663402693,
      0.12588237733101562,
      0.12521383773794387,
      0.12455139756024924,
      0.12389499795275835,
      0.12324458138660083,
      0.1226000913048014,
      0.12196147201664108,
      0.12132866865915332,
      0.12070162712325543,
      0.12008029391890826,
      0.11946461623392685,
      0.11885454174001861,
      0.11825001878289608,
      0.11765099612289573,
      0.11705741652296865,
      0.11646917612628788,
      0.1158861589584195,
      0.115308270347746,
      0.1147354799529869,
      0.11416779444604741,
      0.11360520584798983,
      0.11304769570411825,
      0.11249523798029584,
      0.11194780127446159,
      0.11140535026298046,
      0.1108678470426451,
      0.11033525185824263,
      0.10980752364471127,
      0.10928462064059664,
      0.10876650061031688,
      0.10825312109689063,
      0.10774443948871448,
      0.1072404133021448,
      0.10674100023549586,
      0.1062461581472943,
      0.10575584517504277,
      0.10527001982319995,
      0.104788640772409,
      0.10431166718589263,
      0.10383905854659574,
      0.10337077468014266,
      0.10290675006782826,
      0.1024468932492635,
      0.10199112465576231,
      0.1015393767690512,
      0.10109159111909508,
      0.10064771585770989,
      0.10020770417219742,
      0.09977151301092772,
      0.09933910217358385,
      0.09891043366658143,
      0.09848547123893409,
      0.09806417992490493,
      0.09764652576313324,
      0.09723247564704829,
      0.09682199710846878,
      0.09641505839004598,
      0.0960116280749047,
      0.09561167532210282,
      0.09521516956970068,
      0.09482208074818259,
      0.09443237896725924,
      0.09404603468077935,
      0.09366301865572885,
      0.09328330196128726,
      0.09290685597190194,
      0.09253365233967506,
      0.09216366290418579,
      0.09179685982567044,
      0.09143321701019493,
      0.09107271077292686,
      0.09071531702423835,
      0.09036101103098122,
      0.09000976761998188,
      0.08966156143720139,
      0.08931636693891273,
      0.08897415857933492,
      0.0886349108965116,
      0.08829859848381039,
      0.08796519611454931,
      0.08763467867612397,
      0.08730702120033454,
      0.08698219891306636,
      0.08666018725941202,
      0.08634096184050087,
      0.08602449847809424,
      0.08571077319738515,
      0.08539976224244518,
      0.08509144202238655,
      0.08478578911550161,
      0.08448278035666541,
      0.08418239280486887,
      0.08388460367990222,
      0.08358939041400795,
      0.08329673058988413,
      0.08300660203196365,
      0.08271898273958408,
      0.08243385093531043,
      0.08215118504410944,
      0.08187096364784897,
      0.08159316552636742,
      0.08131776961333197,
      0.08104475505444471,
      0.08077410115835922,
      0.08050578745004978,
      0.08023979355949855,
      0.07997609940036644,
      0.07971468498698253,
      0.0794555305922423,
      0.07919861661365256,
      0.0789439236149768,
      0.07869143232712106
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991267972926671,
      10.78761867191942,
      10.57407484375246,
      10.352955974164598,
      10.126565926063494,
      9.896968693425343,
      9.666010110983983,
      9.435327809894675,
      9.206366030310667,
      8.980386695975968,
      8.75845045768304,
      8.541397142277884,
      8.329837235201532,
      8.124155949423308,
      7.924528244940539,
      7.730942195088552,
      7.543229018627408,
      7.3610940019081355,
      7.1841463158508505,
      7.011928666901241,
      6.843944188049595,
      6.679679987340103,
      6.518627202617102,
      6.360297698711781,
      6.204237707965174,
      6.050038789431555,
      5.89734647263794,
      5.7458632535490235,
      5.595341786212597,
      5.445597223839729,
      5.296508901408662,
      5.148024206127737,
      5.000164129709699,
      4.85302047516036,
      4.706740548924518,
      4.561525722201505,
      4.4176354110054366,
      4.27537269157182,
      4.135077111984135,
      3.9971189951220394,
      3.8618880719265705,
      3.7297830240985315,
      3.6011967879863453,
      3.4765044394445472,
      3.356054834629385,
      3.240161220326558,
      3.1290917829088305,
      3.023065698403661,
      2.9222538157645443,
      2.8267782392181444,
      2.736709073174627,
      2.6520496745159328,
      2.5727496366750833,
      2.498721371000159,
      2.4298444145646885,
      2.365954271509714,
      2.306824963373389,
      2.2521792083794994,
      2.2016807514115952,
      2.154942581360859,
      2.1115569195135895,
      2.0711104062455976,
      2.033222752410493,
      1.9975120580669816,
      1.9636372088455865,
      1.9313297319823215,
      1.900380122265392,
      1.8706215112798286,
      1.84192308771523,
      1.8141804769719825,
      1.78730010410121,
      1.7612026262635674,
      1.7358243853321649,
      1.711113657862809,
      1.6870283464944231,
      1.6635335583340782,
      1.6405990199607692,
      1.6181978526674552,
      1.596305428833973,
      1.5748999837733493,
      1.5539631869404593,
      1.5334792396533237,
      1.5134331827806267,
      1.493810302359986,
      1.47459622667637,
      1.4557769930176419,
      1.4373390909163317,
      1.4192694871773606,
      1.4015555329635785,
      1.3841847831693592,
      1.3671455289429968,
      1.3504270492620252,
      1.33401906964945,
      1.3179116644538367,
      1.3020952650080253,
      1.286560660319915,
      1.2712989940187334,
      1.2563017571485606,
      1.2415607794411747,
      1.227068218228798,
      1.2128165467908678,
      1.198798542086582,
      1.1850072723734375,
      1.171436084948603,
      1.1580786212984733,
      1.144928989552573,
      1.1319819432623883,
      1.119233126606949,
      1.106678232141115,
      1.0943128519417669,
      1.082132542620877,
      1.0701328738921434,
      1.0583094636132806,
      1.0466580027197152,
      1.0351742721814954,
      1.0238542625939162,
      1.0126947452641084,
      1.0016927722828384,
      0.9908458291043989,
      0.9801519621475275,
      0.9696090603390884,
      0.9592147197459344,
      0.9489663558145777,
      0.9388612814034649,
      0.9288967619306541,
      0.9190700533662778,
      0.909378429022958,
      0.8998191973649705,
      0.8903897138519729,
      0.8810873887032253,
      0.8719096918486213,
      0.8628541554089136,
      0.8539183746545312,
      0.8451000084362392,
      0.8363967693476508,
      0.827806391804012,
      0.8193266702819575,
      0.8109554739543112,
      0.8026907405886837,
      0.7945300620683463,
      0.7864707703077526,
      0.7785104501296319,
      0.770646902610694,
      0.7628780965221972,
      0.7552021335204884,
      0.7476172221318043,
      0.7401216587517001,
      0.7327138136901611,
      0.7253921205608236,
      0.7181550683622857,
      0.7110011955806829,
      0.7039290855707578,
      0.6969377720369834,
      0.6900265710199286,
      0.6831947209026673,
      0.6764418201706086,
      0.6697674476742882,
      0.6631709440817665,
      0.6566514906196288,
      0.6502081640877365,
      0.643839975268482,
      0.6375458959600148,
      0.6313248777454115,
      0.6251758651269651,
      0.6190978042153322,
      0.613089649497655,
      0.6071503677186194,
      0.6012789402649646,
      0.5954743651852412,
      0.5897356582711497,
      0.5840618536912828,
      0.5784520042103508,
      0.5729051809984245,
      0.5674208503281046,
      0.5619989676900554,
      0.5566393061448238,
      0.5513414400590082,
      0.5461048098975939,
      0.5409287677445136,
      0.5358126085312027,
      0.5307555920365253,
      0.5257569585046867,
      0.5208159390033308,
      0.5159317625670053,
      0.5111036612469223,
      0.5063308735187781,
      0.5016126465701151,
      0.49694823773369495,
      0.49233691540374097,
      0.4877779594152515,
      0.48327066172966754,
      0.47881432613447505,
      0.47440826838204625,
      0.4700518161854672,
      0.46574430897175023,
      0.4614850975969833,
      0.4572735443551456,
      0.45310902254470004,
      0.4489909164329309,
      0.44491862080499034,
      0.44089154083667087,
      0.4369090918581482,
      0.4329706990360223,
      0.42907579725310907,
      0.42522383093307503,
      0.4214142537341464,
      0.41764652841741234,
      0.4139201264580117,
      0.4102345278827022,
      0.40658922128326536,
      0.4029837034980616,
      0.3994174794199623,
      0.39589006185456715,
      0.3924009713274963,
      0.38894973578956116,
      0.3855358907299451,
      0.3821589788319662,
      0.37881854993610586,
      0.37551416064787446,
      0.3722453744562229,
      0.3690117614469773,
      0.3658128982476564,
      0.36264836787302124,
      0.3595177595481614,
      0.35642066858538135,
      0.3533566963657256,
      0.3503254501465004,
      0.34732654277022346,
      0.3443595928351065,
      0.3414241125888523,
      0.33851950838747197,
      0.3356452488925724,
      0.33280086189877667,
      0.32998591839530006,
      0.32720002114715213,
      0.3244427968143838,
      0.32171389005382417,
      0.3190129597102161,
      0.3163396757594464,
      0.3136937172484121,
      0.3110748873829605,
      0.30848311425352487,
      0.3059182722628888,
      0.3033801840786579,
      0.3008686366605251,
      0.2983833929733367,
      0.2959242002309166,
      0.2934907955024478,
      0.29108290983443924,
      0.288700271031754,
      0.2863426058198207,
      0.284009641104252,
      0.28170110503199014,
      0.2794167274642272,
      0.2771562406772585,
      0.2749193797087422,
      0.2727058821597953,
      0.2705154887891226,
      0.26834794333564993,
      0.2662030028367831,
      0.2640804682036562,
      0.2619801414000952,
      0.25990181175246374,
      0.257845260531383,
      0.25581026421218667,
      0.2537965966939083,
      0.2518040308296557,
      0.2498323397311392,
      0.24788129738253853,
      0.2459506791383027,
      0.24404023766170693,
      0.24214970027126628,
      0.2402788090568484,
      0.23842732135989345,
      0.23659500938324343,
      0.2347816843089348,
      0.23298721946333428,
      0.2312114777955638,
      0.22945430337506423,
      0.2277155275595459,
      0.225994973482677,
      0.22429245914614193,
      0.22260779962417615,
      0.22094080849010972,
      0.21929129909469702,
      0.21765908512767815,
      0.21604398116545537,
      0.21444580320646894,
      0.21286436866193298,
      0.21129949669325887,
      0.20975100820964238,
      0.20821872608627115,
      0.20670247520962168,
      0.20520205744595513,
      0.2037172549529807,
      0.20224786428542732,
      0.2007936947868413,
      0.19935456559455092,
      0.19793030332871617,
      0.1965207402152639,
      0.1951257132205985,
      0.19374506316433945,
      0.1923786339596559,
      0.19102627232144054,
      0.18968782749666402,
      0.18836315091340236,
      0.18705209592582508,
      0.18575451780675445,
      0.1844702737206643,
      0.18319922252432172,
      0.1819412247889421,
      0.18069614278919438,
      0.1794638403704805,
      0.17824418287154514,
      0.17703703714085167,
      0.17584227160844895,
      0.17465975613364557,
      0.17348936206063909,
      0.17233096218968152,
      0.17118443076543602,
      0.17004964338110323,
      0.1689264769752798,
      0.16781480985890745,
      0.16671452173356197,
      0.16562549363164886,
      0.1645476078669887,
      0.16348074801510737,
      0.16242479899930073,
      0.16137964698362708,
      0.16034517943556442,
      0.1593212849638522,
      0.15830785351608082,
      0.15730477609736251,
      0.1563119449186305,
      0.1553292534151023,
      0.15435659617356398,
      0.15339386890791554,
      0.15244096852121905,
      0.15149779299329036,
      0.1505642414058751,
      0.14964021390130716,
      0.14872561170175183,
      0.14782033718341495,
      0.14692429376981234,
      0.14603738582244882,
      0.14515952000321958,
      0.14429060882218875,
      0.14343056528167464,
      0.14257930156245405,
      0.14173672965184578,
      0.14090276160189422,
      0.14007730978078842,
      0.13926028709333496,
      0.13845160699965756,
      0.1376511837200247,
      0.13685893222592074,
      0.1360747683101742,
      0.13529860764882923,
      0.1345302959735509,
      0.13376963121497512,
      0.13301644289909711,
      0.13227054967483381,
      0.13153177388884846,
      0.13079996917825074,
      0.13007501211083627,
      0.1293567962192372,
      0.1286452275889079,
      0.1279402216266126,
      0.12724170076184993,
      0.1265495926140106,
      0.1258638287584509,
      0.12518434387633454,
      0.12451107506922114,
      0.1238439613671288,
      0.1231829432440255,
      0.1225279624757663,
      0.1218789619329668,
      0.12123588531425397,
      0.1205986772071944,
      0.1199672828659111,
      0.11934164815042632,
      0.11872171965260771,
      0.11810744452567738,
      0.1174987704559069,
      0.11689564568067946,
      0.1162980189321208,
      0.11570587480253786,
      0.11511918267310749,
      0.1145378888552165,
      0.11396194103221695,
      0.11339128790028993,
      0.11282587916426665,
      0.11226566522508866,
      0.11171059736011624,
      0.11116062739124741,
      0.11061570767296562,
      0.11007579115897272,
      0.1095408313501539,
      0.10901078216791062,
      0.1084855979629085,
      0.10796523371620381,
      0.1074496447591368,
      0.10693878680632125,
      0.10643261607265836,
      0.105931089105965,
      0.1054341629388835,
      0.10494179499451545,
      0.10445394318437283,
      0.10397056572798875,
      0.10349162124124822,
      0.10301706874952364,
      0.10254686765787566,
      0.1020809591483318,
      0.10161925230091269,
      0.10116166476226877,
      0.10070812700090483,
      0.1002585788455041,
      0.09981296716007272,
      0.09937124422087634,
      0.09893336615847512,
      0.09849929215281186,
      0.0980689836973735,
      0.0976424039866247,
      0.09721951759637648,
      0.09680029018853324,
      0.09638468832182233,
      0.09597267930408875,
      0.09556423091377969,
      0.09515931162602723,
      0.09475789024309819,
      0.09435993595890084,
      0.0939654183931724,
      0.09357430746154774,
      0.09318657345072148,
      0.09280218696123627,
      0.09242111960155973,
      0.09204334629025203,
      0.09166884178754132,
      0.09129758020451519,
      0.09092953510040608,
      0.09056467983246114,
      0.09020298758663976,
      0.08984443156690264,
      0.08948898499359274,
      0.08913662115907971,
      0.08878731340100927,
      0.08844103531737375,
      0.08809776062634378,
      0.0877574632366023,
      0.08742011729275041,
      0.0870856971516597,
      0.08675417735347496,
      0.08642553262487888,
      0.08609973795307962,
      0.08577676852091985,
      0.08545659969359949,
      0.08513920710785866,
      0.08482456663489976,
      0.08451265424877635,
      0.08420344620074002,
      0.0838969189397998,
      0.08359304912985963,
      0.08329181363560677,
      0.08299318943923772,
      0.08269715385671791,
      0.08240368430342655,
      0.08211275845483197,
      0.08182435413773767,
      0.08153844941601755,
      0.08125502252460705,
      0.08097405195379195,
      0.08069551633716951,
      0.080419394470556,
      0.08014566535682133,
      0.07987430815636044,
      0.07960530221120465,
      0.07933862708255296,
      0.07907426255088072,
      0.07881218851844371,
      0.07855238504575245,
      0.07829483233137721,
      0.07803951086409756,
      0.077786401296135,
      0.07753548437778592
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991256177679276,
      10.787565892709887,
      10.573959059002377,
      10.352760234765183,
      10.126278211693045,
      9.89658157310616,
      9.66551980471469,
      9.434733465829797,
      9.20566862352734,
      8.97958833648243,
      8.757553912899562,
      8.540405482467678,
      8.328753515887955,
      8.122982946314766,
      7.923268259822394,
      7.729596949624493,
      7.54179961494635,
      7.35958087547711,
      7.182549283362349,
      7.010247016294743,
      6.842176799862647,
      6.677825477221852,
      6.516684078163452,
      6.358264524203717,
      6.202113274595482,
      6.047822285494374,
      5.895037651263542,
      5.74346256373377,
      5.592850256997581,
      5.443016953768418,
      5.29384318976483,
      5.14527756882245,
      4.997342369300889,
      4.85013058967108,
      4.703790628160135,
      4.558525157217681,
      4.414594949084005,
      4.272304423152711,
      4.131993933121582,
      3.9940343690047935,
      3.8588157843116275,
      3.7267369106513994,
      3.598190386754826,
      3.47355073060351,
      3.3531662183032687,
      3.2373490848035793,
      3.1263662094055054,
      3.020435305738265,
      2.9197256960310356,
      2.824358057342815,
      2.734400471330653,
      2.6498537961920836,
      2.570666480082975,
      2.4967498961051073,
      2.4279825757508124,
      2.364197606233296,
      2.305166213150603,
      2.250609004097634,
      2.2001881382035076,
      2.15351594145327,
      2.110184296596143,
      2.069780628559868,
      2.031925096812107,
      1.9962363841020039,
      1.962375639192491,
      1.9300763447741576,
      1.8991304359154044,
      1.869372113893323,
      1.8406713838716942,
      1.8129243002535145,
      1.7860377819778375,
      1.7599329730009068,
      1.7345465781433647,
      1.709827139052184,
      1.6857326192473396,
      1.6622282400254784,
      1.6392838686717182,
      1.6168727473153381,
      1.594970351245529,
      1.5735547267200136,
      1.552607193796943,
      1.532111754352838,
      1.5120536629065544,
      1.4924183670872346,
      1.4731916178289788,
      1.4543595461230037,
      1.4359087119049105,
      1.4178261347928744,
      1.4000991143664596,
      1.3827152156849845,
      1.365662818333533,
      1.3489312467429653,
      1.3325102425861444,
      1.316389891706041,
      1.3005606332171684,
      1.2850132616958636,
      1.2697389243517452,
      1.2547291144003974,
      1.2399756624039602,
      1.2254707258596238,
      1.2112067777114244,
      1.1971765939921475,
      1.183373241857881,
      1.1697900671841812,
      1.1564207198947556,
      1.1432593222697893,
      1.1303007434402357,
      1.1175406618171206,
      1.1049747267513326,
      1.0925984965728268,
      1.080407502092202,
      1.0683972928492436,
      1.0565634711128864,
      1.0449017155736517,
      1.033407807539754,
      1.0220782421135448,
      1.0109100012712178,
      0.9999002677526868,
      0.9890468280487821,
      0.9783475422918076,
      0.9677999966751177,
      0.9574015715678992,
      0.9471495285974613,
      0.9370410710204086,
      0.9270733858673654,
      0.9172436737208304,
      0.907549168200031,
      0.8979871498010383,
      0.888554954457046,
      0.8792499785448887,
      0.8700696823112365,
      0.8610115911432441,
      0.8520732956791769,
      0.8432524514985855,
      0.8345467677339061,
      0.8259539757838924,
      0.8174718703283012,
      0.8090983207911776,
      0.8008312211780597,
      0.7926680466740087,
      0.784606153109994,
      0.7766431647290921,
      0.7687769112265946,
      0.7610053823527643,
      0.7533266947721327,
      0.7457390679571576,
      0.7382408063236456,
      0.7308302860233384,
      0.7235059448969038,
      0.716266275115874,
      0.7091098175118371,
      0.7020352857381051,
      0.6950419082279484,
      0.6881289080735502,
      0.6812957355539346,
      0.6745420565425498,
      0.6678672936342718,
      0.6612706775938666,
      0.6547513121931826,
      0.6483082197022362,
      0.641940372359103,
      0.6356467149525532,
      0.6294261802165632,
      0.6232776994545683,
      0.6172002094979746,
      0.6111926582140201,
      0.6052540074900115,
      0.5993832359228284,
      0.5935793395728894,
      0.5878413329015238,
      0.5821682490089597,
      0.5765591399927156,
      0.5710132019940126,
      0.5655302626999111,
      0.5601102021338349,
      0.5547526635462063,
      0.5494571305375956,
      0.5442229801019896,
      0.5390495197151798,
      0.5339360134728495,
      0.5288816996813468,
      0.523885803470013,
      0.518947545283151,
      0.5140661469107841,
      0.5092408354110085,
      0.5044708460594531,
      0.49975542354875385,
      0.49509382355712245,
      0.4904853134214626,
      0.48592917227576554,
      0.4814246917773337,
      0.47697117538971495,
      0.4725679388692029,
      0.46821430974414496,
      0.46390962749250453,
      0.4596532430971705,
      0.45544451871747105,
      0.4512828277317032,
      0.44716755441486195,
      0.4430980936851445,
      0.43907385074124267,
      0.43509424089640597,
      0.4311586894067283,
      0.42726663119266706,
      0.42341751073441103,
      0.4196107816325325,
      0.4158459066232558,
      0.41212235713326123,
      0.4084396131370926,
      0.40479716329214965,
      0.40119450448840593,
      0.3976311416007054,
      0.3941065873162334,
      0.3906203620892568,
      0.3871719939945521,
      0.3837610185051785,
      0.3803869781948453,
      0.3770494227470283,
      0.373747908786982,
      0.37048199971613244,
      0.3672512655739216,
      0.364055282851067,
      0.3608936343816776,
      0.3577659093144948,
      0.3546717029348785,
      0.3516106165918752,
      0.3485822573237598,
      0.3455862379698452,
      0.3426221233956833,
      0.3396893203633488,
      0.3367872702005754,
      0.3339154799511401,
      0.3310735046671957,
      0.3282609344549376,
      0.3254773855400769,
      0.3227224940618719,
      0.3199959114153824,
      0.31729730098642,
      0.3146263359612846,
      0.31198272757740425,
      0.3093663599828701,
      0.3067771442735389,
      0.3042149274786007,
      0.3016795128264558,
      0.29917067362460553,
      0.29668816317725166,
      0.2942317215916725,
      0.2918010808599968,
      0.28939596845154625,
      0.2870161097730152,
      0.28466122960718887,
      0.2823310533760581,
      0.2800253081436693,
      0.27774372309578127,
      0.2754860298798433,
      0.27325196301082355,
      0.2710412598222066,
      0.26885366064987104,
      0.2666889111186726,
      0.2645467971596015,
      0.2624271241428273,
      0.2603296828566067,
      0.25825425466074614,
      0.2562006151201863,
      0.25416853663178873,
      0.25215779016875206,
      0.25016814651816754,
      0.24819937719490728,
      0.24625125507345824,
      0.24432354084074004,
      0.2424159600208362,
      0.2405282477980576,
      0.23866015583208353,
      0.23681145167121614,
      0.23498195065306104,
      0.23317152445805991,
      0.23138003067305557,
      0.2296073087346462,
      0.22785318610723637,
      0.2261174824020826,
      0.22440001235658086,
      0.2227005880282997,
      0.22101902028872839,
      0.21935511972400473,
      0.21770869744282687,
      0.21607956559033842,
      0.21446753764711549,
      0.21287242871754097,
      0.21129405568175685,
      0.20973223726268156,
      0.20818679412306212,
      0.20665754885253892,
      0.20514429734174866,
      0.20364681877708543,
      0.20216490860283104,
      0.20069837488783207,
      0.19924703517432743,
      0.19781071446756074,
      0.19638924336621216,
      0.19498245702670955,
      0.1935901944354161,
      0.19221229784661986,
      0.19084861219282728,
      0.18949898483456235,
      0.18816326541938463,
      0.18684130555746348,
      0.18553295891004765,
      0.18423808092795455,
      0.1829565288375231,
      0.1816881615299348,
      0.18043283963369772,
      0.17919042532527427,
      0.17796078234784654,
      0.17674377602234603,
      0.1755392732121172,
      0.17434714226706752,
      0.17316725298514077,
      0.17199947664151047,
      0.17084368599741745,
      0.169699755135058,
      0.1685675596150443,
      0.16744697639642817,
      0.16633788373587308,
      0.165240161268988,
      0.16415368991161047,
      0.163078352013216,
      0.16201403114589333,
      0.16096061217723612,
      0.1599179811564717,
      0.15888602545264732,
      0.15786463362966624,
      0.15685369558624898,
      0.15585310233115215,
      0.15486274610580733,
      0.15388252020521506,
      0.15291231915885703,
      0.15195203869930488,
      0.15100157562664637,
      0.15006082785462455,
      0.14912969447329902,
      0.14820807563734056,
      0.14729587252791942,
      0.14639298747082136,
      0.14549932381031352,
      0.14461478587532145,
      0.14373927915900694,
      0.142872714324579,
      0.14201500526564917,
      0.1411660647667196,
      0.1403258051785894,
      0.13949413884267453,
      0.13867097837528128,
      0.1378562368506296,
      0.13704982786441344,
      0.1362516656626483,
      0.13546166530442078,
      0.13467973889176776,
      0.13390573102334055,
      0.1331394405167696,
      0.13238069773958597,
      0.13162932345971368,
      0.13088513687996062,
      0.13014798911072525,
      0.1294177547424888,
      0.12869432561800437,
      0.12797760641367217,
      0.12726751138371944,
      0.12656396186630817,
      0.1258668845864768,
      0.12517621034883863,
      0.12449187304468794,
      0.12381380903333238,
      0.123141956564812,
      0.1224762554832861,
      0.12181664679618977,
      0.12116307266783846,
      0.12051547626451364,
      0.1198738015333192,
      0.11923799306659776,
      0.11860799624867045,
      0.11798375699813124,
      0.11736522187490589,
      0.11675237244646428,
      0.11614523670888069,
      0.11554382695286987,
      0.11494813671466166,
      0.11435813173619269,
      0.11377371808485941,
      0.1131948005833166,
      0.1126212966247825,
      0.11205313279023711,
      0.11149024266537698,
      0.1109325649645151,
      0.11038004229116699,
      0.10983262018736421,
      0.10929024649930766,
      0.10875287082832216,
      0.1082204442557637,
      0.10769291897808961,
      0.10717024815593221,
      0.10665238576078613,
      0.10613928651334327,
      0.10563090571067256,
      0.10512719918236985,
      0.10462812328704159,
      0.10413363495524783,
      0.10364369153738176,
      0.10315825082486785,
      0.10267727101569328,
      0.10220071075788874,
      0.1017285290991234,
      0.10126067365659026,
      0.10079705420007568,
      0.10033758572972626,
      0.09988219652321961,
      0.09943082485011434,
      0.09898341639288533,
      0.09853992233918571,
      0.09810029802959525,
      0.09766450195891317,
      0.09723249508844467,
      0.09680424007224536,
      0.09637970110097746,
      0.0959588434458888,
      0.09554163342091787,
      0.09512803796024086,
      0.09471802463757494,
      0.09431156152216949,
      0.09390861717054144,
      0.09350916065795145,
      0.09311316397172345,
      0.09272060093688417,
      0.09233144450774614,
      0.09194566715377736,
      0.09156324092537656,
      0.09118413769614728,
      0.09080832925160325,
      0.09043578737124686,
      0.09006648395512018,
      0.08970039105536456,
      0.08933748090844419,
      0.0889777258850217,
      0.08862109849804348,
      0.08826757150015356,
      0.0879171178737792,
      0.08756971073954452,
      0.08722532361505751,
      0.08688393007712446,
      0.08654550401605884,
      0.08621001940090418,
      0.08587745057976207,
      0.08554777212961687,
      0.08522095884700592,
      0.08489698567616245,
      0.08457582785365184,
      0.08425746078714413,
      0.08394186009385078,
      0.08362900162697612,
      0.08331886140769822,
      0.083011415748638,
      0.08270664108556018,
      0.08240451416634069,
      0.08210501186203349,
      0.08180811130000284,
      0.08151378977209778,
      0.08122202472297717,
      0.08093279388850101,
      0.08064607524116058,
      0.08036184686979252,
      0.08008008703767902,
      0.07980077419048247,
      0.0795238869966377,
      0.07924940429649173,
      0.07897730508696715,
      0.07870756859904618,
      0.07844017422353389,
      0.07817510153288006,
      0.07791233032264289,
      0.07765184056497701,
      0.07739361236582488,
      0.07713762601483662,
      0.07688386195651829,
      0.07663230085112475,
      0.07638292348985623
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991244413254634,
      10.787513234951842,
      10.573843523257661,
      10.352564883110288,
      10.125991041076906,
      9.896195159800188,
      9.665030363920803,
      9.434140125681347,
      9.204972338016393,
      8.978791194820541,
      8.756658662556491,
      8.539415174351063,
      8.327671186044626,
      8.121811355512648,
      7.922009696398845,
      7.728253125255404,
      7.54037162423296,
      7.358069145363617,
      7.180953624621381,
      7.008566714011325,
      6.840410733823414,
      6.6759722640039945,
      6.514742228436045,
      6.3562326073274695,
      6.199990088116486,
      6.045607025799175,
      5.8927300810269845,
      5.741063134657366,
      5.590360016789006,
      5.440438021147565,
      5.291178872401326,
      5.142532391953354,
      4.9945221443533825,
      4.8472423202256545,
      4.700842404454176,
      4.555526369806746,
      4.411556342159727,
      4.269238081543838,
      4.128912744225183,
      3.9909517825528025,
      3.8557455680471473,
      3.7236928769149635,
      3.595186046806294,
      3.4705990895864822,
      3.350279694330752,
      3.2345390219317056,
      3.1236426439091383,
      3.0178068123768504,
      2.9171993243486423,
      2.8219394319454105,
      2.7320932011342176,
      2.6476590006143765,
      2.568584137928304,
      2.494778952523381,
      2.4261209745634913,
      2.3624408851612655,
      2.3035071269586136,
      2.2490380160642602,
      2.1986943584511867,
      2.1520878277464757,
      2.108809903259238,
      2.068448871486781,
      2.0306253406051216,
      1.9949585753674959,
      1.9611119651122946,
      1.9288209297732868,
      1.897878830617947,
      1.8681209295716827,
      1.839418039514286,
      1.8116666388576814,
      1.7847741359051108,
      1.7586621579734454,
      1.7332677712035707,
      1.7085397796178343,
      1.6844362068669885,
      1.660922388176616,
      1.6379683302399572,
      1.615547397043529,
      1.5936351670220592,
      1.5722095607107331,
      1.551251602770616,
      1.530745048154422,
      1.510675231335254,
      1.4910277766508628,
      1.4717885698793907,
      1.4529438441666715,
      1.4344802365371792,
      1.416384807503694,
      1.3986448153679523,
      1.3812478571022024,
      1.3641824014245265,
      1.3474378186675593,
      1.3310038669561153,
      1.3148706441897082,
      1.2990285980865734,
      1.2834685288559489,
      1.268181587205072,
      1.2531592685442186,
      1.2383934045472924,
      1.2238761530089197,
      1.2095999866231977,
      1.1955576808391442,
      1.181742301904541,
      1.1681471942153852,
      1.1547660159245698,
      1.1415929033588998,
      1.1286228518625805,
      1.1158515622938432,
      1.1032746408227263,
      1.0908876126150524,
      1.0786859827042756,
      1.066665281040362,
      1.0548210944820646,
      1.0431490894508617,
      1.0316454624059883,
      1.0203070394731357,
      1.009130753055289,
      0.9981141246288934,
      0.9872549250899743,
      0.9765507347613394,
      0.9659989011754264,
      0.955596634540073,
      0.9453410749472052,
      0.9352293389072251,
      0.9252585520957963,
      0.9154258713576586,
      0.9057284995540703,
      0.896163695249686,
      0.8867287786626964,
      0.8774211354481544,
      0.8682382184028901,
      0.8591775478359951,
      0.8502367109379734,
      0.8414133609872896,
      0.832705204260969,
      0.8241099690786993,
      0.8156254505589399,
      0.8072495188106343,
      0.7989799985143662,
      0.7908142604082765,
      0.7827497107497678,
      0.7747840099285102,
      0.7669150135654383,
      0.7591407300680655,
      0.7514592899158111,
      0.7438689225439279,
      0.7363679397142854,
      0.7289547228501081,
      0.7216277137298214,
      0.7143854075611622,
      0.7072263471813203,
      0.7001494857854627,
      0.6931541052694162,
      0.6862394830771708,
      0.679405278724843,
      0.67265101716704,
      0.6659759929876983,
      0.6593793466607064,
      0.6528601184533733,
      0.6464172859096989,
      0.6400497896558415,
      0.6337565523664241,
      0.6275364911303062,
      0.6213885263876484,
      0.6153115876231117,
      0.609304617491498,
      0.6033665743173068,
      0.5974964341773423,
      0.5916931913815975,
      0.5859558592426048,
      0.5802834700446607,
      0.574675075415435,
      0.5691302303336324,
      0.5636488937011833,
      0.5582307914721568,
      0.5528754596509378,
      0.547582306849772,
      0.5423506576677994,
      0.5371797830110968,
      0.5320689212430492,
      0.5270172930099261,
      0.522024110986984,
      0.5170885871244885,
      0.51220993721594,
      0.507387384308051,
      0.5026201607113702,
      0.49790750933425143,
      0.49324868462562543,
      0.4886429530321911,
      0.48408959327794393,
      0.47958789652098316,
      0.47513716613606066,
      0.47073671763296965,
      0.466385878687038,
      0.46208398875026435,
      0.45783039862469954,
      0.45362447068609546,
      0.4494655783603782,
      0.44535310587118937,
      0.4412864481830786,
      0.43726501063263823,
      0.4332882086296541,
      0.429355467301371,
      0.42546622166574743,
      0.42161991621559103,
      0.41781600460109625,
      0.4140539494615279,
      0.41033322225413355,
      0.40665330313170794,
      0.403013680615134,
      0.39941385154462106,
      0.3958533207247727,
      0.3923316009510692,
      0.38884821265461544,
      0.38540268369982755,
      0.3819945494369975,
      0.37862335247615697,
      0.37528864243732196,
      0.3719899758800618,
      0.36872691613336145,
      0.3654990331022875,
      0.3623059032550152,
      0.35914710940908506,
      0.3560222406734965,
      0.35293089221584306,
      0.34987266513454207,
      0.3468471663850959,
      0.34385398800913114,
      0.34089257295846404,
      0.3379623318137652,
      0.3350627486831007,
      0.3321933608316925,
      0.32935374441435344,
      0.3265435046613207,
      0.32376226845904704,
      0.3210096793636985,
      0.3182853939222761,
      0.31558907907240524,
      0.31292041057354425,
      0.31027917330722826,
      0.30766529197746806,
      0.3050786445122415,
      0.3025190546885273,
      0.2999863090341324,
      0.2974801689138215,
      0.2950003791282035,
      0.29254667382155974,
      0.2901187807632513,
      0.2877164242861889,
      0.2853393274151864,
      0.2829872132567157,
      0.28065980613914937,
      0.278356832126137,
      0.2760780197576191,
      0.27382310025860895,
      0.2715918075340447,
      0.2693838785992765,
      0.26719905364659136,
      0.26503710031975486,
      0.2628978211556254,
      0.2607810093103119,
      0.25868644699930987,
      0.2566139094183102,
      0.25456316772895543,
      0.25253399109470637,
      0.250526148259041,
      0.24853940827712803,
      0.24657354147240748,
      0.24462831286522455,
      0.2427034519844748,
      0.24079868644521218,
      0.23891376176814588,
      0.23704844042748022,
      0.23520254091013448,
      0.23337593283686003,
      0.23156846865998618,
      0.22977998343047534,
      0.22801030065625888,
      0.2262592365360822,
      0.22452660267343705,
      0.22281220812120034,
      0.22111586087862123,
      0.21943736891062468,
      0.2177765406675425,
      0.21613318578198887,
      0.21450711521994514,
      0.21289814170135782,
      0.21130607985744698,
      0.20973074611274725,
      0.20817195878748315,
      0.20662953731477135,
      0.20510327249610544,
      0.20359294150415497,
      0.2020983383569723,
      0.20061926950508746,
      0.1991555508280663,
      0.1977070054534221,
      0.19627346227575823,
      0.1948547547118804,
      0.19345071992952978,
      0.19206119824111514,
      0.19068603281307922,
      0.1893250691934621,
      0.187978155279646,
      0.18664514091167564,
      0.1853258779676039,
      0.18402022026144255,
      0.1827280232564976,
      0.18144914413948526,
      0.18018344184915275,
      0.1789307768938337,
      0.1776910114536947,
      0.1764640092335804,
      0.17524963547331285,
      0.17404775697509844,
      0.1728582420342163,
      0.17168096037414526,
      0.17051578322618427,
      0.1693625832991108,
      0.16822123470262634,
      0.16709161288803814,
      0.16597359469476308,
      0.16486705827385065,
      0.16377188321948707,
      0.16268795049503706,
      0.1616151422935017,
      0.16055334217560616,
      0.15950243494483088,
      0.15846230666653321,
      0.15743284467214974,
      0.15641393750373345,
      0.15540547486898068,
      0.15440734767607825,
      0.15341944820012113,
      0.15244166977658868,
      0.1514739068802609,
      0.15051605520142994,
      0.14956801150349203,
      0.1486296737068309,
      0.1477009407919129,
      0.14678171283331637,
      0.14587189106922782,
      0.1449713777458318,
      0.14408007611773882,
      0.14319789051546397,
      0.14232472634011983,
      0.14146049196320423,
      0.14060510093795048,
      0.13975846688810548,
      0.1389205026980401,
      0.1380911210789946,
      0.13727023498177815,
      0.1364577575644467,
      0.13565360251054032,
      0.13485768421515226,
      0.1340699114693243,
      0.13329012805603413,
      0.13251813370935933,
      0.1317537577144555,
      0.13099682390510958,
      0.1302471501983274,
      0.1295045848562375,
      0.12876900017748702,
      0.12804028620962069,
      0.12731834609474038,
      0.12660309274415282,
      0.1258944463584512,
      0.1251923326561417,
      0.12449668146700613,
      0.12380742588818339,
      0.12312450151000645,
      0.12244784584839137,
      0.12177739800706944,
      0.12111309840333356,
      0.12045488853022386,
      0.1198027108880499,
      0.11915650875454065,
      0.11851622607838196,
      0.11788182322564635,
      0.11725332202322206,
      0.11663074240945642,
      0.1160140828029899,
      0.11540332604322076,
      0.11479844404204763,
      0.11419940073281264,
      0.1136061544538338,
      0.11301864210595534,
      0.11243675060119497,
      0.11186037296582879,
      0.11128941794366565,
      0.11072380594381194,
      0.11016346594928518,
      0.10960833333014426,
      0.10905834827952308,
      0.10851345456703976,
      0.10797359882135313,
      0.10743872977890452,
      0.1069087978209789,
      0.10638375468217232,
      0.10586355318964884,
      0.10534814714634289,
      0.10483749112254297,
      0.10433154028212462,
      0.10383025046554127,
      0.10333357798248143,
      0.1028414797437368,
      0.10235391310246351,
      0.10187083583088856,
      0.10139220620648622,
      0.10091798292845056,
      0.10044811710740884,
      0.09998252326483992,
      0.09952111330364692,
      0.0990638132600867,
      0.09861055965218309,
      0.09816129672849365,
      0.09771597460569505,
      0.09727454781043979,
      0.09683697411203464,
      0.09640321378090969,
      0.09597322904781706,
      0.09554698367857364,
      0.09512444263110245,
      0.09470557173612572,
      0.09429033824601246,
      0.09387871317734187,
      0.09347066823481678,
      0.09306617449464447,
      0.09266520254135299,
      0.09226772281268139,
      0.09187370569561894,
      0.09148312148867582,
      0.09109594058013867,
      0.09071213353752387,
      0.09033167103863923,
      0.0899545239684645,
      0.0895806634468125,
      0.08921006078688196,
      0.08884268743549062,
      0.08847851520006404,
      0.08811751611426441,
      0.08775966236832282,
      0.08740492637970343,
      0.08705328091549765,
      0.08670469889193663,
      0.0863591534477981,
      0.08601661798689797,
      0.0856770662342871,
      0.085340472083866,
      0.08500680959278407,
      0.0846760531165054,
      0.0843481772350495,
      0.08402315671826947,
      0.0837009666190543,
      0.08338158216404344,
      0.08306497874681429,
      0.08275113208069289,
      0.08244001802196645,
      0.08213161269916773,
      0.08182589242046255,
      0.0815228337091599,
      0.08122241319044288,
      0.08092460781576985,
      0.08062939476385028,
      0.08033675138093145,
      0.08004665526790154,
      0.07975908413290357,
      0.079474015892674,
      0.07919142864722117,
      0.07891130076991901,
      0.07863361073754997,
      0.07835833720919214,
      0.07808545910871338,
      0.07781495560336212,
      0.07754680590208643,
      0.07728098940381865,
      0.07701748569384774,
      0.07675627459174829,
      0.07649733603477926,
      0.07624065028631577,
      0.0759861976683269,
      0.07573395866928027,
      0.07548391400214105,
      0.07523604449427132
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991232691045974,
      10.78746075611576,
      10.573728364475118,
      10.352369950278938,
      10.125704397510273,
      9.895809426830155,
      9.664541780736904,
      9.433547825185627,
      9.20427727412642,
      8.977995452424413,
      8.755764983034986,
      8.538426601545286,
      8.326590750015086,
      8.12064181060118,
      7.920753323689516,
      7.726911629018843,
      7.538946093990196,
      7.3565600043560035,
      7.179360681370742,
      7.006889253741069,
      6.8386476391551625,
      6.674122156521536,
      6.512803623689688,
      6.3542040816381125,
      6.197870448006831,
      6.043395478498327,
      5.890426401358714,
      5.738667783834535,
      5.587874050858339,
      5.437863567129586,
      5.288519246633707,
      5.139792126972036,
      4.991707058356274,
      4.84435941903224,
      4.697899773746559,
      4.552533392379156,
      4.408523714193054,
      4.26617784049239,
      4.125837759830986,
      3.9878754821352134,
      3.852681715394173,
      3.7206552489869833,
      3.5921881147765258,
      3.4676538501062537,
      3.3473995480690997,
      3.2317352598992133,
      3.12092525004892,
      3.0151843099462328,
      2.91467871341937,
      2.8195262926119384,
      2.729791105028003,
      2.6454690406833343,
      2.5665062714310856,
      2.492812107740461,
      2.4242629453475475,
      2.360686771207523,
      2.301849773224026,
      2.247467990020378,
      2.197200886625845,
      2.150659475530163,
      2.1074346117960503,
      2.0671157251142454,
      2.029323863546981,
      1.9936788601599245,
      1.9598463138416449,
      1.9275635506691549,
      1.8966253354355005,
      1.8668679727984692,
      1.8381630683370347,
      1.8104075149565275,
      1.7835092034570972,
      1.7573902395476293,
      1.7319880462556343,
      1.7072516878158759,
      1.6831392457299716,
      1.6596161675187828,
      1.6366525995165422,
      1.6142220264612532,
      1.5923001304379758,
      1.570864773782867,
      1.5498967248816335,
      1.5293794021447336,
      1.5092981538249248,
      1.48963879270186,
      1.4703873480051945,
      1.4515301616806275,
      1.4330539531815483,
      1.414945798446528,
      1.397192929305718,
      1.3797830070457135,
      1.3627045893247884,
      1.3459470918902634,
      1.329500288639462,
      1.3133542889100627,
      1.2974995483640908,
      1.2819268725990027,
      1.2666274158875475,
      1.2515926759096,
      1.2368144853797252,
      1.2222850021213203,
      1.2079966987214905,
      1.1939423501934254,
      1.1801150218762877,
      1.1665080571987667,
      1.1531151226015555,
      1.139930377370843,
      1.1269489401966066,
      1.1141665252226507,
      1.1015786959941736,
      1.0891809450184273,
      1.0769687524140519,
      1.0649376284382353,
      1.0530831447927378,
      1.0414012113785804,
      1.0298884920323013,
      1.018541747660596,
      1.0073581893631502,
      0.99633543425877,
      0.9854710569952427,
      0.9747623721988076,
      0.964206537709481,
      0.9538006288677592,
      0.9435416894236673,
      0.9334267673859111,
      0.9234529395751522,
      0.9136173283711339,
      0.9039171120434315,
      0.8943495319249214,
      0.8849118966271371,
      0.8756015832354026,
      0.8664160386709956,
      0.857352779317808,
      0.848409389754183,
      0.8395835215288199,
      0.8308728779644075,
      0.8222751856190275,
      0.8137882403443636,
      0.8054099126133563,
      0.7971379361303202,
      0.7889696075382467,
      0.7809023806995309,
      0.7729339501581289,
      0.7650621966435327,
      0.7572851468647849,
      0.7496009443562052,
      0.7420078282659782,
      0.7345041171218429,
      0.7270881973939064,
      0.7197585145980725,
      0.7125135665220711,
      0.705352001589146,
      0.6982729784341271,
      0.6912757246563203,
      0.6843597658551592,
      0.6775247526029046,
      0.670770058562895,
      0.6640948718862605,
      0.6574982581256152,
      0.65097920452123,
      0.644536651363425,
      0.6381695133516209,
      0.631876694807849,
      0.6256570999916273,
      0.6195096402315795,
      0.613433238765161,
      0.6074268339184237,
      0.6014893811997087,
      0.5956198544468331,
      0.5898172465194196,
      0.5840805699005333,
      0.5784088564755547,
      0.5728013346910142,
      0.5672578948712631,
      0.5617783680760529,
      0.5563623583064277,
      0.5510093163368087,
      0.5457185911514004,
      0.5404894655906887,
      0.5353211816420467,
      0.5302129575169373,
      0.5251639996788544,
      0.5201735109047767,
      0.5152406964203906,
      0.5103647674190147,
      0.5055449436838516,
      0.5007804553755318,
      0.49607054394243577,
      0.49141446294831753,
      0.4868114782380613,
      0.482260868079807,
      0.4777619233121683,
      0.47331394729581155,
      0.468916255493192,
      0.4645681753900223,
      0.46026904653048145,
      0.45601821982950813,
      0.45181505771338676,
      0.44765893361497927,
      0.4435492319694102,
      0.43948534766774305,
      0.43546668608863526,
      0.4314926625896599,
      0.4275627025274514,
      0.42367624096737255,
      0.4198327222622385,
      0.41603160003431966,
      0.4122723368736785,
      0.40855440433972795,
      0.4048772826049129,
      0.4012404601478426,
      0.39764343380082134,
      0.3940857081866536,
      0.39056679599386473,
      0.3870862176418744,
      0.38364350107416056,
      0.38023818157742195,
      0.37686980175466533,
      0.3735379111181921,
      0.3702420660656981,
      0.36698182985786987,
      0.3637567723191124,
      0.36056646989672453,
      0.35741050526518053,
      0.35428846741654746,
      0.35119995134713794,
      0.34814455815454026,
      0.3451218948078223,
      0.34213144963260406,
      0.3391726128430806,
      0.3362448430829743,
      0.3333476583112345,
      0.33048061959308206,
      0.3276433199950197,
      0.3248353764959072,
      0.32205642423655945,
      0.31930611259116,
      0.31658410211782334,
      0.3138900626193173,
      0.3112236928303173,
      0.3085848617641277,
      0.3059734859153579,
      0.3033894148831054,
      0.30083245229087435,
      0.2983023702458582,
      0.2957989199191735,
      0.2933218388328883,
      0.2908708558733647,
      0.2884456950422297,
      0.2860460779844721,
      0.28367172569750865,
      0.2813223599242238,
      0.278997703916923,
      0.2766974830721815,
      0.2744214251712035,
      0.27216926096542854,
      0.26994072404058284,
      0.2677355510280113,
      0.26555349200575257,
      0.2633943417421393,
      0.2612578964519602,
      0.2591439394811691,
      0.25705224592386305,
      0.2549825858912864,
      0.25293472704434355,
      0.2509084360042822,
      0.248903479525301,
      0.24691962535716888,
      0.24495664187281194,
      0.2430142643673393,
      0.24109221270009443,
      0.23919022605302903,
      0.23730806162500595,
      0.2354455397673838,
      0.23360252795803407,
      0.2317788736913709,
      0.22997440781523945,
      0.2281889501725332,
      0.22642231348007438,
      0.22467430617166964,
      0.22294473428011488,
      0.22123340301417008,
      0.21954011750198285,
      0.21786468367144243,
      0.21620690862091302,
      0.21456660095360475,
      0.21294357094927632,
      0.21133763072687597,
      0.20974859436017207,
      0.20817627796028512,
      0.20662049746190306,
      0.20508103920844678,
      0.20355767877059466,
      0.2020502083614124,
      0.20055843269815593,
      0.19908216582805333,
      0.19762122895446618,
      0.1961754490514048,
      0.194744657676209,
      0.19332869014146492,
      0.19192738491543998,
      0.19054058328719206,
      0.1891681290662207,
      0.18780986821369988,
      0.18646564877281652,
      0.18513532085645248,
      0.1838187364374845,
      0.18251574927199646,
      0.18122621487883744,
      0.1799499905116124,
      0.17868693502157484,
      0.17743690891593197,
      0.17619977424336103,
      0.17497539464917627,
      0.17376363541029827,
      0.1725643632333988,
      0.17137744633725843,
      0.17020275445067073,
      0.1690401586880397,
      0.16788953165820003,
      0.1667507474122036,
      0.1656236813451784,
      0.164508210305762,
      0.1634042124939306,
      0.1623115673757723,
      0.16123015578045571,
      0.1601598598932648,
      0.15910056312596807,
      0.158052150245518,
      0.15701450726527502,
      0.1559875214676818,
      0.15497108136109838,
      0.1539650766213628,
      0.15296939820914146,
      0.15198393826230028,
      0.15100859014506046,
      0.150043248297495,
      0.14908780826036158,
      0.14814216681176406,
      0.1472062217643578,
      0.1462798721032799,
      0.14536301790528214,
      0.14445556035695759,
      0.14355740171325368,
      0.14266844521495162,
      0.14178859514292066,
      0.14091775685072006,
      0.14005583718851208,
      0.1392027482274118,
      0.13835840449026446,
      0.13752271949847478,
      0.13669560638536538,
      0.1358769782909085,
      0.13506674861630474,
      0.13426483120924754,
      0.1334711317829318,
      0.1326854940500919,
      0.1319077186428439,
      0.1311376331030146,
      0.13037506490611253,
      0.12961983112517042,
      0.12887177680909728,
      0.12813077173933268,
      0.12739670390987645,
      0.1266694748458627,
      0.12594899610039087,
      0.12523518669929606,
      0.12452797125745203,
      0.12382727869488022,
      0.12313304123046505,
      0.1224451936679712,
      0.12176367274923328,
      0.12108841681355503,
      0.12041936561571111,
      0.11975645993936002,
      0.11909964157052506,
      0.11844890757377854,
      0.11780428940965255,
      0.1171657932757648,
      0.11653340715786169,
      0.11590710595355343,
      0.11528685516486033,
      0.11467261374628844,
      0.11406433590310508,
      0.11346197257243158,
      0.1128654725538905,
      0.11227478330149936,
      0.1116898316103507,
      0.11111049856912378,
      0.11053667401747246,
      0.109968264401065,
      0.10940518844286025,
      0.1088473739497437,
      0.1082947554747613,
      0.10774727257802252,
      0.10720486862844002,
      0.10666748988734372,
      0.10613508490856974,
      0.10560760395357065,
      0.10508499864872177,
      0.10456722187021784,
      0.10405422735377798,
      0.10354596958146471,
      0.1030424037281805,
      0.10254348567465538,
      0.10204917184484798,
      0.10155941907724642,
      0.10107418479026455,
      0.10059342686358337,
      0.10011710359112479,
      0.09964516957941276,
      0.0991775446347356,
      0.0987141374955438,
      0.09825487175350117,
      0.09779968198778215,
      0.09734851108273587,
      0.09690130794016576,
      0.0964580261693421,
      0.09601862292854256,
      0.09558305778061797,
      0.09515129348471363,
      0.09472329760281198,
      0.09429903851348503,
      0.09387848435602511,
      0.09346160337865311,
      0.09304836380370407,
      0.09263873404884332,
      0.09223268268190017,
      0.09183017841421426,
      0.09143119027293783,
      0.09103568750712339,
      0.09064363955835134,
      0.09025501610824677,
      0.0898697871207291,
      0.08948792275160633,
      0.08910939350072698,
      0.08873417011085712,
      0.08836222355658782,
      0.08799352500867784,
      0.0876280459772572,
      0.08726575821449012,
      0.08690663361824852,
      0.0865506444288948,
      0.08619776316022534,
      0.08584796257606285,
      0.0855012155912601,
      0.08515749544053611,
      0.08481677559413854,
      0.08447902971880471,
      0.0841442317096713,
      0.08381235566544702,
      0.08348337595368636,
      0.08315726717516729,
      0.08283400418653253,
      0.08251356202832875,
      0.08219591599386257,
      0.08188104156209376,
      0.0815689144235547,
      0.08125951048156851,
      0.0809528058766461,
      0.08064877698308565,
      0.08034740033644641,
      0.08004865273987702,
      0.07975251121557693,
      0.07945895282016883,
      0.0791679549597952,
      0.07887949525785139,
      0.07859355146829587,
      0.07831010145931687,
      0.07802912343275613,
      0.07775059578229944,
      0.07747449703831288,
      0.07720080589889851,
      0.07692950133493158,
      0.07666056245442783,
      0.0763939685325802,
      0.076129699064984,
      0.07586773379296405,
      0.07560805252623502,
      0.07535063524581223,
      0.07509546214710622,
      0.07484251358516633,
      0.0745917700938101,
      0.07434321240534322,
      0.07409682144574262
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991221017156814,
      10.78740848264822,
      10.573613645490193,
      10.352175629576578,
      10.125418593794288,
      9.895424795245658,
      9.664054575243416,
      9.43295717425675,
      9.20358412179943,
      8.977201871149186,
      8.754873701157923,
      8.537440649379215,
      8.325513144635591,
      8.119475292994434,
      7.919500164216456,
      7.7255735247249735,
      7.537524125769474,
      7.355054590921487,
      7.177771630028942,
      7.005215850879637,
      6.836888769198773,
      6.672276444563295,
      6.510869593257578,
      6.352180318713313,
      6.195755770102316,
      6.04118910422865,
      5.888128116706246,
      5.7362780581234185,
      5.585393947276064,
      5.435295221506014,
      5.285865983102639,
      5.137058485171052,
      4.988898861018444,
      4.841483671621282,
      4.694964553744626,
      4.549548070276594,
      4.405498865662489,
      4.263125390921813,
      4.122770569992897,
      3.9848069630979497,
      3.8496256096441175,
      3.7176253039273517,
      3.5891977678668834,
      3.4647160974657947,
      3.344526782359486,
      3.2289387252702384,
      3.1182148820173596,
      3.012568584116015,
      2.9121645849143873,
      2.8171192996252556,
      2.7274947560223497,
      2.6432844102531896,
      2.5644333027619255,
      2.4908497206456603,
      2.4224089110695943,
      2.3589361230091184,
      2.300195393408469,
      2.2459004964568905,
      2.1957095671117166,
      2.149232889181868,
      2.1060607215378035,
      2.0657837138512174,
      2.0280233534166854,
      1.9924000316132529,
      1.9585815427909692,
      1.926307098103205,
      1.8953728511402155,
      1.8656161390184394,
      1.836909350414842,
      1.8091497860867334,
      1.7822458147742133,
      1.756120016691446,
      1.7307101693576843,
      1.705965595253807,
      1.681844475323459,
      1.6583123136911062,
      1.6353393989552878,
      1.6128993393118776,
      1.5909679225687658,
      1.569523051141269,
      1.5485452001469482,
      1.5280175212097116,
      1.5079251763379038,
      1.488254184820199,
      1.4689907324918496,
      1.4501212804699302,
      1.4316326386778244,
      1.4135118819063701,
      1.3957462481719753,
      1.378323465313965,
      1.3612321816628934,
      1.3444618595548192,
      1.3280022896314216,
      1.3118435933871575,
      1.295976235045353,
      1.2803910264642402,
      1.26507912610098,
      1.250032033863689,
      1.2352415837717141,
      1.2206999347049476,
      1.2063995587989251,
      1.1923332304394534,
      1.1784940138655606,
      1.1648752516009822,
      1.1514706186392898,
      1.1382743559316146,
      1.1252816839591513,
      1.1124882695873644,
      1.0998896397807651,
      1.08748125888172,
      1.0752585848380973,
      1.0632171113489481,
      1.0513525367323038,
      1.0396613026698664,
      1.0281400272065844,
      1.016785680820176,
      1.0055956693312698,
      0.9945674847195239,
      0.9836984154095726,
      0.972985571101402,
      0.9624259637256233,
      0.9520165641946146,
      0.9417543417490941,
      0.9316362918591973,
      0.9216594541413909,
      0.911820924279223,
      0.9021178620407733,
      0.8925474956463522,
      0.8831071243593447,
      0.8737941192352817,
      0.8646059226713565,
      0.8555400480046325,
      0.84659407816861,
      0.8377656635321313,
      0.8290525042918152,
      0.8204523262848618,
      0.8119629261124939,
      0.803582175130891,
      0.7953076753063939,
      0.787136703027864,
      0.7790667562116003,
      0.7710955611022906,
      0.763221021252073,
      0.7554411801065861,
      0.7477541934081241,
      0.7401583088687744,
      0.732651851676943,
      0.7252332131179486,
      0.7179008420863039,
      0.7106532387937807,
      0.7034892650309013,
      0.6964081654055558,
      0.6894092875504075,
      0.6824923040531107,
      0.6756566924884682,
      0.66890170545204,
      0.662226445563968,
      0.6556299179976769,
      0.6491110678615929,
      0.642668805702127,
      0.6363020253024869,
      0.6300096162525438,
      0.6237904726307191,
      0.6176434987445777,
      0.6115676128444469,
      0.6055617498439767,
      0.5996248627820152,
      0.5937559240531605,
      0.5879539255765749,
      0.5822178789770814,
      0.5765468220911806,
      0.5709403828897059,
      0.5653985157351316,
      0.5599209039941095,
      0.5545070486064148,
      0.5491563280898362,
      0.5438680411867071,
      0.5386414354438757,
      0.533475728180659,
      0.5283701204997977,
      0.5233238070608998,
      0.5183359825420142,
      0.51340584631397,
      0.508532605726857,
      0.5037154779725194,
      0.4989536913709892,
      0.49424648616403083,
      0.48959311494878344,
      0.4849928431114837,
      0.48044494870536686,
      0.4759487223858318,
      0.47150346740431415,
      0.46710849923102005,
      0.4627631453922953,
      0.45846674529551407,
      0.45421864999175804,
      0.45001822195344043,
      0.44586483474138544,
      0.44175787273970163,
      0.4376967308064726,
      0.4336808144006151,
      0.42970953899120573,
      0.4257823299190054,
      0.4218986222786765,
      0.4180578604154827,
      0.4142594979777045,
      0.4105029976606625,
      0.40678783087263864,
      0.4031134776527261,
      0.3994794265106961,
      0.39588517424083836,
      0.39233022558284986,
      0.3888140931362703,
      0.38533629714817297,
      0.3818963655808365,
      0.3784938336976622,
      0.37512824380261567,
      0.3717991454134972,
      0.36850609497884995,
      0.3652486557250118,
      0.36202639732715347,
      0.35883889606565805,
      0.35568573462958497,
      0.35256650194910866,
      0.34948079295461726,
      0.34642820849176137,
      0.34340829389495975,
      0.340420440233265,
      0.3374640769557124,
      0.33453869999346475,
      0.3316438533578575,
      0.3287791165854826,
      0.32594409575871464,
      0.32313841691180084,
      0.3203617216213803,
      0.31761366368383287,
      0.3148939068429102,
      0.3122021230503961,
      0.3095380751022119,
      0.30690168377520444,
      0.30429283155834674,
      0.3017113441484832,
      0.29915700812873325,
      0.29662958360713865,
      0.2941288132108931,
      0.29165442818181697,
      0.2892061530845379,
      0.2867837087759448,
      0.2843868145123407,
      0.2820151896730261,
      0.2796685547126542,
      0.2773466319695236,
      0.27504914609119824,
      0.2727758243722085,
      0.27052639704308723,
      0.26830059746159735,
      0.26609816355464866,
      0.2639188740217868,
      0.2617625288999911,
      0.25962891318863984,
      0.25751780215390996,
      0.2554289652260735,
      0.2533621685331582,
      0.2513171767173401,
      0.24929375425635505,
      0.24729166632112543,
      0.2453106796309786,
      0.24335053826657904,
      0.24141095933801826,
      0.23949167473738206,
      0.23759243556874088,
      0.23571306259382768,
      0.23385342069424236,
      0.2320133526467963,
      0.2301926851413384,
      0.22839123420547136,
      0.22660880914774265,
      0.2248452152121489,
      0.22310025548862747,
      0.22137373234104626,
      0.21966544825677597,
      0.21797520641331342,
      0.2163028113844679,
      0.21464806916157406,
      0.2130107876481288,
      0.2113907765476931,
      0.2097878476506853,
      0.20820181464235835,
      0.20663249023306984,
      0.20507965683341572,
      0.2035430881975472,
      0.2020225746054512,
      0.20051791868109217,
      0.19902893254239312,
      0.1975554355320442,
      0.19609725261010671,
      0.19465421323654422,
      0.19322615082879993,
      0.19181290196529252,
      0.19041430603172538,
      0.18903020492727585,
      0.18766044281666563,
      0.18630486597825832,
      0.18496332265873824,
      0.18363566300983483,
      0.18232173900544044,
      0.181021404478887,
      0.17973451493649412,
      0.1784609275544953,
      0.1772005011427923,
      0.17595309617710791,
      0.174718574734507,
      0.17349680037032195,
      0.17228763826654744,
      0.17109095507994312,
      0.1699066188837379,
      0.16873449935544862,
      0.16757446757522995,
      0.16642639617225136,
      0.16529015903063862,
      0.16416563152701932,
      0.16305269039794587,
      0.1619512137448163,
      0.16086108100514085,
      0.1597821729662382,
      0.1587143717895661,
      0.1576575608677329,
      0.1566116248828835,
      0.1555764498372258,
      0.15455192296044326,
      0.15353793269162683,
      0.15253436873470874,
      0.15154112195270786,
      0.15055808443134036,
      0.1495851494003019,
      0.1486222113427796,
      0.14766916581004064,
      0.14672590953887008,
      0.14579234029919108,
      0.1448683570250018,
      0.14395385977766814,
      0.14304874962386227,
      0.14215292875221214,
      0.1412663004474655,
      0.14038876902401745,
      0.1395202398389757,
      0.13866061919467074,
      0.13780981707399684,
      0.13696774798931777,
      0.13613432619877114,
      0.13530946530478918,
      0.13449307878410907,
      0.13368508039616062,
      0.13288537331286135,
      0.1320938021748936,
      0.13131016834718928,
      0.1305342973298888,
      0.12976602074890395,
      0.1290051548211562,
      0.12825154107262776,
      0.12750504653384578,
      0.1267655570375871,
      0.1260329723003284,
      0.12530720234838383,
      0.12458816496974595,
      0.12387578371089925,
      0.12316998652547707,
      0.12247070472605104,
      0.12177787220312311,
      0.12109142490840223,
      0.1204113005430045,
      0.11973745525295905,
      0.11906991124766766,
      0.11840868778411016,
      0.11775378154757994,
      0.11710517307623623,
      0.11646283127739616,
      0.11582671690001017,
      0.11519678490669442,
      0.11457298616155392,
      0.1139552686948581,
      0.11334357881035059,
      0.11273786153036475,
      0.11213806129037891,
      0.11154412210321746,
      0.11095598784855444,
      0.1103735820487921,
      0.10979678410002658,
      0.10922548314992937,
      0.10865958507885178,
      0.10809900823233429,
      0.10754368007976688,
      0.10699353500889157,
      0.10644851249033972,
      0.1059085558155528,
      0.10537361117979281,
      0.10484362710105317,
      0.1043185538476565,
      0.10379834314630489,
      0.10328294781920375,
      0.10277232162897947,
      0.10226641910165055,
      0.10176519551156843,
      0.10126860669104237,
      0.10077660919833151,
      0.10028915993486184,
      0.09980621625996478,
      0.09932773610718387,
      0.09885367782299478,
      0.0983839669366149,
      0.09791850871425799,
      0.09745722420886231,
      0.09700004609717942,
      0.09654691574823278,
      0.09609778187067433,
      0.09565260140992689,
      0.09521133461114356,
      0.09477394332763925,
      0.09434039074052784,
      0.09391064107073996,
      0.09348465937782714,
      0.09306241137464767,
      0.09264386333355525,
      0.09222898207109463,
      0.09181773485208837,
      0.09141008930810236,
      0.0910060134973242,
      0.09060547579425969,
      0.09020844488862004,
      0.08981488980473706,
      0.08942477990933848,
      0.08903808478707964,
      0.08865477433327551,
      0.08827481872033464,
      0.08789818835906148,
      0.08752485404534868,
      0.08715478668840981,
      0.0867879574847021,
      0.08642433795303482,
      0.08606389986908837,
      0.08570661521997876,
      0.08535245624239532,
      0.08500139545532351,
      0.08465340564269695,
      0.084308459837365,
      0.0839665312167427,
      0.08362759332370319,
      0.08329161981134062,
      0.08295858458925295,
      0.08262846187523536,
      0.08230122610186152,
      0.08197685195109404,
      0.08165531422444511,
      0.0813365879840047,
      0.08102064853535965,
      0.08070747142738516,
      0.08039703235426554,
      0.08008930732225816,
      0.07978427247384963,
      0.07948190414493954,
      0.079182178973405,
      0.0788850737862765,
      0.07859056551630968,
      0.0782986313541588,
      0.07800924873941481,
      0.07772239529864768,
      0.07743804893027954,
      0.07715618761073466,
      0.07687678947748965,
      0.07659983288738885,
      0.07632529640579205,
      0.07605315881869062,
      0.07578339909171093,
      0.0755159964189894,
      0.07525093009445459,
      0.07498817967965539,
      0.07472772486696865,
      0.07446954557896572,
      0.07421362182664806,
      0.07395993383537323,
      0.07370846200940889,
      0.07345918691935331,
      0.0732120892933487,
      0.07296715005028229
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991209401861404,
      10.787356467645749,
      10.573499489024817,
      10.351982258613932,
      10.12513417393329,
      9.895042010355551,
      9.663569686931606,
      9.432369299864273,
      9.202894188411417,
      8.976411931922655,
      8.753986462826438,
      8.536459120818355,
      8.32444032128212,
      8.118313897768255,
      7.918252452887901,
      7.724241181195986,
      7.536108221155991,
      7.353555538418051,
      7.176189234336534,
      7.003549398626,
      6.835137150620357,
      6.670438293896717,
      6.508943443807758,
      6.350164767350789,
      6.193649647098999,
      6.038991642153923,
      5.885839116896979,
      5.733898002382401,
      5.582923909073901,
      5.43273734533081,
      5.283223600500036,
      5.134336139536694,
      4.986102374277225,
      4.838620041774417,
      4.692041843076211,
      4.5465756279065825,
      4.402487215668392,
      4.26008640015598,
      4.119717057762394,
      3.9817522910048844,
      3.8465834642163044,
      3.714609370982747,
      3.586221417567736,
      3.4617922561291987,
      3.341667818891813,
      3.2261558556359367,
      3.115517963134138,
      3.009966018850041,
      2.9096632605764383,
      2.8147246935561103,
      2.7252100874144314,
      2.6411107417569886,
      2.562370572708308,
      2.488896850387782,
      2.420563642791862,
      2.3571934840902906,
      2.298548315329883,
      2.24433966315373,
      2.194224346669442,
      2.147811883575299,
      2.1046919490930396,
      2.064456464714636,
      2.0267273556648098,
      1.9911255684823792,
      1.957321069467315,
      1.9250549340175538,
      1.8941246886959537,
      1.864368691651893,
      1.8356601042375364,
      1.8078966280597224,
      1.7809871053178448,
      1.7548545873598715,
      1.7294372033841374,
      1.7046845322259732,
      1.6805548732908553,
      1.6570137600998962,
      1.6340316243976756,
      1.6115821989896921,
      1.5896413782671115,
      1.5681871050891478,
      1.5471996161559691,
      1.5266618025940164,
      1.5065585963792896,
      1.4868761752195523,
      1.4676008894252268,
      1.4487193247701444,
      1.4302183859160003,
      1.4120851293596866,
      1.3943068283344102,
      1.3768712804702683,
      1.3597672247044894,
      1.3429841682190307,
      1.326511919149808,
      1.310340611694796,
      1.2944607188805526,
      1.2788630586103131,
      1.2635387935130689,
      1.2484794262203398,
      1.2336767923983492,
      1.219123051205475,
      1.204810675072514,
      1.1907324379949054,
      1.1768814035508341,
      1.1632509131874296,
      1.1498346581141936,
      1.1366269524407804,
      1.123623118736447,
      1.1108187766303463,
      1.098209416650025,
      1.0857904746070028,
      1.0735573867761707,
      1.0615056860817815,
      1.0496315761311852,
      1.0379316035422428,
      1.0264024759847739,
      1.0150413701573735,
      1.003845631076426,
      0.9928125270430511,
      0.981939121349691,
      0.9712223632155946,
      0.9606591497103022,
      0.950246370112813,
      0.9399809359760882,
      0.9298598017226558,
      0.9198799775759248,
      0.9100385387558761,
      0.900332630483427,
      0.8907594709755919,
      0.8813163524693292,
      0.8720006411736057,
      0.8628097765862539,
      0.8537412697959189,
      0.8447927020649187,
      0.8359617231561111,
      0.8272460305531139,
      0.8186433495738821,
      0.8101514776624229,
      0.8017682860260544,
      0.7934912470057444,
      0.7853176179292358,
      0.7772449398221669,
      0.7692709701915281,
      0.761393635326306,
      0.7536109951675765,
      0.7459212173698736,
      0.738322558316814,
      0.730813349555188,
      0.72339198682769,
      0.7160569223502613,
      0.7088067319646205,
      0.7016404949097483,
      0.6945574765812147,
      0.6875572563916077,
      0.680639438586845,
      0.6738033555036638,
      0.6670481574571118,
      0.6603728750233082,
      0.6537764627230909,
      0.6472578298579611,
      0.6408158617994965,
      0.6344494346997464,
      0.6281574257580431,
      0.6219387204292288,
      0.6157922171090435,
      0.6097168301062759,
      0.6037114913480918,
      0.5977751517963197,
      0.5919067824321039,
      0.5861053744100838,
      0.5803699389469709,
      0.5746997537545727,
      0.5690947288722181,
      0.5635546541019658,
      0.5580790989449383,
      0.5526674846708242,
      0.5473191344414741,
      0.5420333081113163,
      0.5368092261938839,
      0.5316460871196951,
      0.5265430789112271,
      0.5214993868941187,
      0.5165141994312556,
      0.5115867116507198,
      0.5067161278442128,
      0.5019016632337642,
      0.49714254475924485,
      0.4924380118334839,
      0.48778731658609187,
      0.4831897239821979,
      0.4786445118435104,
      0.47415097074926293,
      0.4697084037421181,
      0.46531612632434355,
      0.46097346608449874,
      0.45667976256624987,
      0.45243436692241096,
      0.44823664158465404,
      0.444085960152578,
      0.43998170709665857,
      0.4359232773266484,
      0.43191007628692235,
      0.4279415193596418,
      0.4240170318472395,
      0.420136048924999,
      0.41629801505606673,
      0.4125023837841611,
      0.40874861770123655,
      0.4050361883871998,
      0.4013645759415716,
      0.39773326871696735,
      0.39414176333097317,
      0.3905895644485474,
      0.3870761846916645,
      0.3836011444224435,
      0.38016397134868124,
      0.3767642006643823,
      0.37340137480997915,
      0.37007504308192124,
      0.3667847617776417,
      0.36353009413953263,
      0.3603106097931167,
      0.35712588487409846,
      0.3539755019039542,
      0.3508590495667849,
      0.34777612289696064,
      0.34472630048020547,
      0.3417090085722382,
      0.33872364386247367,
      0.3357696777910204,
      0.3328466356067865,
      0.32995408222964673,
      0.3270916118422001,
      0.3242588407929356,
      0.32145540232213626,
      0.318680943015683,
      0.31593512013425107,
      0.31321759984738656,
      0.310528066181855,
      0.30786636987564364,
      0.30523243422062024,
      0.3026261120091671,
      0.3000472078493689,
      0.2974954933207176,
      0.2949707178630711,
      0.2924726164954078,
      0.2900009149393695,
      0.2875553337960685,
      0.28513559118052806,
      0.28274140438415146,
      0.28037249127076497,
      0.27802857118329566,
      0.2757093656058465,
      0.2734145985842125,
      0.2711439968049554,
      0.2688972901859066,
      0.26667421159328253,
      0.26447451987600995,
      0.26229801146752263,
      0.26014447426370446,
      0.2580136846777386,
      0.2559054117874665,
      0.2538194205593053,
      0.2517554738547792,
      0.2497133341054987,
      0.24769276414151617,
      0.24569352804135616,
      0.24371537965975443,
      0.24175803468591603,
      0.23982121732149445,
      0.2379046724166285,
      0.23600821968603408,
      0.2341317207403234,
      0.23227501397291747,
      0.23043792211484757,
      0.22862025762219457,
      0.22682182649361826,
      0.22504243090209008,
      0.22328187101982488,
      0.2215399463740396,
      0.21981645658596363,
      0.2181112023233918,
      0.21642398546499617,
      0.2147546095077997,
      0.21310287983769274,
      0.21146860373721058,
      0.20985159053746144,
      0.20825165162223924,
      0.20666859687715736,
      0.20510220527851927,
      0.20355224829409754,
      0.2020185141037548,
      0.2005008033221683,
      0.19899892588786128,
      0.19751269895274928,
      0.19604194535648048,
      0.1945864926931216,
      0.19314617234278939,
      0.19172081889773554,
      0.1903102697893874,
      0.1889143650262108,
      0.18753294687613672,
      0.18616585968292226,
      0.18481294991787606,
      0.1834740659326828,
      0.18214905794695013,
      0.18083777802860493,
      0.17954007999060193,
      0.17825581921683664,
      0.17698485279780718,
      0.17572703953162666,
      0.17448223985381947,
      0.17325031563217524,
      0.17203113046212096,
      0.1708245494329881,
      0.1696304391662315,
      0.16844866766729535,
      0.16727910458909812,
      0.16612162096612024,
      0.16497608924564272,
      0.163842383285012,
      0.1627203784107419,
      0.16160995129776004,
      0.16051097999283948,
      0.15942334394256008,
      0.15834692388553342,
      0.1572816019590872,
      0.15622726146654306,
      0.1551837871065797,
      0.15415106472348764,
      0.15312898150659474,
      0.1521174258375926,
      0.1511162872692749,
      0.1501254567624734,
      0.1491448263359513,
      0.14817428919081038,
      0.14721373967312018,
      0.14626307332310087,
      0.14532218687128373,
      0.14439097811765494,
      0.14346934594789348,
      0.14255719030241634,
      0.1416544123144237,
      0.14076091415936237,
      0.1398765990543429,
      0.1390013712226104,
      0.13813513600812247,
      0.13727779967559833,
      0.13642927038395739,
      0.1355894617307506,
      0.1347582887281245,
      0.1339356656165655,
      0.13312150626364175,
      0.13231571206792836,
      0.1315181279294081,
      0.13072855893011648,
      0.1299468279914388,
      0.1291727712971539,
      0.12840620404067493,
      0.1276469638004388,
      0.12689491446498274,
      0.12614993940431307,
      0.12541193638267137,
      0.12468081379914742,
      0.12395648801244766,
      0.12323888143401417,
      0.12252792080974233,
      0.12182353652983018,
      0.12112566167887137,
      0.12043427304854906,
      0.11974939845347962,
      0.11907104742968806,
      0.11839920913131032,
      0.1177338580640175,
      0.1170749584003275,
      0.11642246686156313,
      0.11577633494745819,
      0.11513651045187367,
      0.11450293883684787,
      0.11387556397409755,
      0.11325432865728603,
      0.11263917516119204,
      0.1120300455057927,
      0.11142688174485066,
      0.11082962599352589,
      0.11023822069800367,
      0.10965260859437287,
      0.10907271335121087,
      0.10849841421096447,
      0.10792959982907187,
      0.10736617581887033,
      0.10680806031764774,
      0.1062551806252701,
      0.10570747104882637,
      0.10516487095862379,
      0.10462732372897642,
      0.10409477554801506,
      0.10356717494478383,
      0.10304447217841667,
      0.10252661899701809,
      0.1020135682302373,
      0.10150527367224597,
      0.1010016899620631,
      0.10050277238437155,
      0.10000847686992587,
      0.09951875989026182,
      0.09903357843713943,
      0.09855288998472372,
      0.09807665246030657,
      0.09760479966905009,
      0.09713723844824804,
      0.09667389022831414,
      0.09621468950904598,
      0.09575957878556185,
      0.09530850656453667,
      0.09486142589996005,
      0.09441829321980927,
      0.09397906750323438,
      0.09354370965180601,
      0.09311218222451376,
      0.09268444894381099,
      0.09226047442241567,
      0.09184022415423992,
      0.091423664273382,
      0.09101076145568146,
      0.09060148284745195,
      0.09019579611091745,
      0.08979366924842243,
      0.08939507057485777,
      0.08899996876709507,
      0.08860833287051913,
      0.08822013222424635,
      0.08783533643180293,
      0.08745391541568594,
      0.08707583938401607,
      0.08670107879818319,
      0.08632960444341158,
      0.08596138732862132,
      0.08559639868899413,
      0.08523461003386204,
      0.08487599315748433,
      0.08452052013198251,
      0.08416816321186321,
      0.08381889493058278,
      0.08347268808965894,
      0.08312951575523445,
      0.08278935114753763,
      0.08245216777916153,
      0.08211793939053452,
      0.08178663994704413,
      0.08145824364000245,
      0.08113272491394842,
      0.08081005847577757,
      0.08049021919060584,
      0.08017318217831719,
      0.07985892283164688,
      0.07954741668907717,
      0.07923863954364692,
      0.07893256733007337,
      0.078629176218973,
      0.07832844266454664,
      0.07803034327827188,
      0.07773485491952624,
      0.07744195465666776,
      0.07715161973218163,
      0.07686382751572625,
      0.07657855566759891,
      0.07629578203612236,
      0.07601548467664007,
      0.07573764185860367,
      0.07546223197480184,
      0.07518923363873632,
      0.07491862566846424,
      0.07465038701378142,
      0.07438449695119645,
      0.0741209347776269,
      0.07385968003210984,
      0.07360071247032067,
      0.07334401196684387,
      0.07308955859602487,
      0.07283733268809754,
      0.0725873146158577,
      0.07233948496977793,
      0.07209382458426426,
      0.07185031437712684
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991197905787999,
      10.78730472168926,
      10.573385875424078,
      10.351789802078557,
      10.124851098327253,
      9.894661035392101,
      9.663087088969304,
      9.431784190881627,
      9.20220748511895,
      8.975625673001565,
      8.753103338287282,
      8.535482121853226,
      8.3233724266294,
      8.117157814239992,
      7.917010420804324,
      7.722914872817743,
      7.534698699074009,
      7.352063210066483,
      7.174613903163359,
      7.001890353835218,
      6.8333932872464915,
      6.668608253716949,
      6.507025770253496,
      6.34815807052322,
      6.191552771009841,
      6.036803833703251,
      5.8835601910732,
      5.731528451781143,
      5.580464818407642,
      5.4301908688122085,
      5.280593076386959,
      5.131626114454537,
      4.983318668487556,
      4.8357696454168355,
      4.689132801800998,
      4.543617267040669,
      4.399490027547881,
      4.257062211934641,
      4.116678640617204,
      3.9787129515496127,
      3.8435568257263655,
      3.7116090490958045,
      3.5832607077857044,
      3.4588840068073083,
      3.3388243978119037,
      3.223388390995802,
      3.112836227451674,
      3.007378352026162,
      2.9071764925088863,
      2.81234423250348,
      2.722939045031915,
      2.638950144053125,
      2.560320329335853,
      2.4869558614715914,
      2.418729389047593,
      2.3554607956876334,
      2.296909919819143,
      2.2427863850490657,
      2.192745688888829,
      2.1463965039945605,
      2.1033280473410105,
      2.0631335066495398,
      2.0254352359491823,
      1.9898547268706546,
      1.9560640812025074,
      1.9238062063752202,
      1.8928799788369595,
      1.8631247603445742,
      1.8344144695778222,
      1.8066471995997957,
      1.7797322585837638,
      1.7535931628401544,
      1.7281683895205628,
      1.703407770863474,
      1.679269722157239,
      1.655719805843829,
      1.632728596000313,
      1.6102699495006665,
      1.5883198670509586,
      1.5668563313479917,
      1.54585944196446,
      1.5253118542916837,
      1.5051982227645349,
      1.4855047283754652,
      1.4662179037895284,
      1.4473244737721396,
      1.4288114181410914,
      1.4106657949210202,
      1.3928749505799594,
      1.3754267723464784,
      1.3583100842578153,
      1.34151442038343,
      1.3250296090949547,
      1.3088457990152644,
      1.2929534739471191,
      1.277343459249906,
      1.2620069227264603,
      1.2469353703761155,
      1.232120639696694,
      1.2175548910712075,
      1.2032305972544892,
      1.189140532031399,
      1.1752777588027568,
      1.1616356183190926,
      1.1482078194536849,
      1.1349887714799394,
      1.12197386960582,
      1.10915868745249,
      1.0965386802783728,
      1.0841092566281756,
      1.0718658317015186,
      1.059804384551338,
      1.0479213723591672,
      1.0362132755516797,
      1.024677065837177,
      1.0133099024346996,
      1.002108996140628,
      0.9910713663905305,
      0.9801938993414617,
      0.9694734173014096,
      0.9589067274803723,
      0.9484906551219461,
      0.9382220664049643,
      0.9280978833337882,
      0.9181150933800033,
      0.9082707557117123,
      0.8985620044157095,
      0.8889860498722771,
      0.879540178980405,
      0.8702217543164805,
      0.8610282128653393,
      0.8519570642989504,
      0.8430058890808484,
      0.834172336265727,
      0.8254541007168174,
      0.8168489074200528,
      0.8083545544350332,
      0.7999688474817789,
      0.7916891597701742,
      0.7835127965499591,
      0.7754373331613598,
      0.7674605521262392,
      0.7595803978393388,
      0.7517949433035986,
      0.7441023656888678,
      0.7365009283017572,
      0.7289889675864405,
      0.7215648830503557,
      0.7142271298207554,
      0.70697446522378,
      0.6998060934217932,
      0.6927214343247683,
      0.6857201611634478,
      0.6788017088945051,
      0.6719652911115658,
      0.6652099744733516,
      0.6585347306841077,
      0.6519384727176154,
      0.6454200806609353,
      0.6389784194961766,
      0.6326123509655335,
      0.6263207425112884,
      0.6201024726113467,
      0.6139564345926081,
      0.6078815391949192,
      0.6018767162797389,
      0.5959409154411675,
      0.5900731066445161,
      0.5842722803419069,
      0.5785374919555162,
      0.5728684120823406,
      0.5672649558330543,
      0.5617267736386996,
      0.55625333767826,
      0.5508440010089698,
      0.5454980390400521,
      0.5402146784454475,
      0.534993116483994,
      0.529832535551208,
      0.5247321123753312,
      0.5196910246384684,
      0.5147084553783432,
      0.5097835960790253,
      0.5049156485387718,
      0.5001038261871459,
      0.49534735480682207,
      0.4906454730724068,
      0.4859974326818751,
      0.481402498211105,
      0.4768599473291612,
      0.47236907046165394,
      0.46792917079419083,
      0.4635395638033341,
      0.45919957718132987,
      0.4549085504182348,
      0.4506658346775841,
      0.44647079248524474,
      0.4423227974337649,
      0.4382212341333798,
      0.4341654974436049,
      0.4301549928170499,
      0.4261891357473436,
      0.4222673515931957,
      0.4183890754239626,
      0.41455375160664076,
      0.4107608338218269,
      0.4070097846702488,
      0.40330007553075675,
      0.39963118644266743,
      0.3960026058594076,
      0.3924138303757439,
      0.38886436468381846,
      0.3853537212998344,
      0.3818814204187473,
      0.37844698971824986,
      0.3750499642145695,
      0.3716898862220698,
      0.3683663050340723,
      0.36507877698741087,
      0.36182686507190664,
      0.3586101388980806,
      0.3554281745403713,
      0.3522805543577812,
      0.34916686709773764,
      0.3460867074692164,
      0.3430395520412695,
      0.3400247760920022,
      0.33704182356704837,
      0.3340901988490315,
      0.3311694505459601,
      0.32827915987775,
      0.32541893269122785,
      0.3225883934206242,
      0.31978718102360126,
      0.31701494602576474,
      0.31427134851070443,
      0.31155605645076806,
      0.30886880602204647,
      0.30620951351976644,
      0.30357806746937926,
      0.30097429632847333,
      0.29839798725005934,
      0.29584889949226034,
      0.2933267737203921,
      0.29083133860948485,
      0.2883623154970358,
      0.285919421765295,
      0.28350237319454946,
      0.28111088534757034,
      0.2787446747664873,
      0.27640345991053017,
      0.27408696152041084,
      0.27179490302144355,
      0.26952701075099983,
      0.2672830142276596,
      0.2650626547664098,
      0.262865718501873,
      0.2606919969130326,
      0.25854126790394016,
      0.2564133007517323,
      0.25430785952591495,
      0.2522247055921814,
      0.2501635993239806,
      0.24812430118145404,
      0.2461065725943364,
      0.2441101716044391,
      0.24213482079250945,
      0.24018023589921392,
      0.23824615587465098,
      0.23633239711303808,
      0.2344388165929966,
      0.2325652486334514,
      0.2307115122960117,
      0.22887741660813246,
      0.2270627643198634,
      0.2252673545383317,
      0.22349098450541363,
      0.221733450893979,
      0.21999455066555354,
      0.21827408172235369,
      0.21657184338132782,
      0.21488763668493796,
      0.2132212643972975,
      0.21157253129637824,
      0.20994124435640193,
      0.20832721259230333,
      0.20673024336152293,
      0.20515011307227804,
      0.2035865905124151,
      0.20203946131584344,
      0.20050852374058595,
      0.19899358546131815,
      0.19749446148965508,
      0.1960109726292065,
      0.1945429442047427,
      0.1930902055701024,
      0.19165258931123144,
      0.19022993081593625,
      0.18882206811961524,
      0.18742884156834003,
      0.18605009370534317,
      0.18468566912601156,
      0.18333541432629374,
      0.18199917774765767,
      0.18067680956066792,
      0.17936816174632847,
      0.17807308805553124,
      0.17679144383403125,
      0.17552308615750506,
      0.17426787375548186,
      0.17302566700391966,
      0.17179632780837437,
      0.1705797196190836,
      0.16937570745061445,
      0.16818415789366564,
      0.16700493896656404,
      0.16583792012366422,
      0.16468297233177762,
      0.16353996804338558,
      0.16240878111065524,
      0.1612892867424167,
      0.16018136148430262,
      0.1590848833875323,
      0.15799973185816807,
      0.15692578754910402,
      0.15586293249746694,
      0.15481104994221181,
      0.15377002456549257,
      0.15273974224251563,
      0.1517200900624455,
      0.15071095638504972,
      0.14971223075531667,
      0.14872380396822366,
      0.1477455680612803,
      0.14677741612667994,
      0.14581924257876386,
      0.14487094292329955,
      0.14393241375935859,
      0.14300355290570949,
      0.1420842592452101,
      0.1411744327189711,
      0.14027397436868294,
      0.13938278628077888,
      0.1385007717379005,
      0.13762783490989508,
      0.13676388103780854,
      0.1359088164050981,
      0.13506254834442866,
      0.13422498847851938,
      0.13339605242318645,
      0.13257565507713073,
      0.13176369707428365,
      0.130960024545909,
      0.13016444737051083,
      0.1293767853501458,
      0.12859687757893953,
      0.12782454137231652,
      0.12705960958630694,
      0.1263019425087157,
      0.12555142064675337,
      0.12480793944454671,
      0.12407140546378363,
      0.12334173354245533,
      0.12261884476771462,
      0.12190266543929026,
      0.12119318554882244,
      0.12049043273835415,
      0.11979440842424832,
      0.11910509537183384,
      0.11842246292125645,
      0.11774647085053826,
      0.1170770722410992,
      0.11641421543268127,
      0.11575784548911955,
      0.11510790531413646,
      0.11446433642141224,
      0.11382707934912878,
      0.11319607426155642,
      0.11257126121810156,
      0.11195258030823364,
      0.11133997179279526,
      0.11073337625844683,
      0.11013273475423317,
      0.10953798876433268,
      0.10894908008053578,
      0.10836595115944148,
      0.10778852794534313,
      0.10721669025211755,
      0.10665032601230924,
      0.10608934033871525,
      0.10553365099942691,
      0.10498318509936104,
      0.10443787673953521,
      0.10389766523759263,
      0.10336249380113888,
      0.102832308667671,
      0.10230705845335988,
      0.10178669334547169,
      0.10127116504536969,
      0.10076042641795442,
      0.10025443135567884,
      0.09975313446841036,
      0.09925649111297366,
      0.09876445716463703,
      0.09827698921707602,
      0.09779404766550837,
      0.09731559555715118,
      0.09684157841847285,
      0.09637190548257077,
      0.09590649262992301,
      0.095445268556807,
      0.09498817146556311,
      0.09453514652985986,
      0.09408614431552759,
      0.09364111932420675,
      0.09320002902295449,
      0.09276283320327605,
      0.09232949345095531,
      0.09189997275647056,
      0.09147423514990216,
      0.09105224558781799,
      0.09063396969752768,
      0.09021937373369841,
      0.08980842456291356,
      0.08940108939601465,
      0.08899733589084119,
      0.08859713223113415,
      0.08820044682565102,
      0.08780724839646582,
      0.08741750597271442,
      0.08703118897472317,
      0.08664826703237544,
      0.08626871010974577,
      0.08589248840168234,
      0.0855195724225831,
      0.0851499329304647,
      0.08478354097307804,
      0.08442036785250215,
      0.0840603851540856,
      0.0837035647003561,
      0.08334987860104254,
      0.0829992991961876,
      0.08265179903190405,
      0.08230735094494937,
      0.08196592791641075,
      0.08162750327239508,
      0.08129205061272676,
      0.0809595436640415,
      0.08062995642003228,
      0.0803032631010577,
      0.07997943817200112,
      0.07965845637068339,
      0.07934029265754666,
      0.07902492217286401,
      0.0787123202644462,
      0.07840246248101967,
      0.0780953247002698,
      0.07779088291749484,
      0.07748911334027737,
      0.07718999247430876,
      0.0768934969240869,
      0.07659960357576924,
      0.07630828947878648,
      0.07601953189042535,
      0.07573330836884053,
      0.07544959662235681,
      0.0751683744293494,
      0.07488961988267925,
      0.07461331126330437,
      0.07433942707042249,
      0.07406794595394023,
      0.07379884664733748,
      0.07353210826369015,
      0.07326771002994893,
      0.07300563133338434,
      0.07274585168930434,
      0.07248835080451502,
      0.07223310874341396,
      0.07198010559904873,
      0.07172932167676482,
      0.07148073750333714,
      0.07123433370991407,
      0.07099009107442555,
      0.07074799058043749
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991186720281814,
      10.787253568125353,
      10.573273260929431,
      10.35159884805176,
      10.124570085323294,
      9.894282717233704,
      9.662607753404355,
      9.431202942557235,
      9.201525226956388,
      8.974844424511641,
      8.752225768452927,
      8.534511201540202,
      8.322311115160582,
      8.11600880022626,
      7.9157759308719395,
      7.7215965688558805,
      7.533297635379372,
      7.350579789841131,
      7.173047929867302,
      7.000241122170414,
      6.831659701434514,
      6.666788968074861,
      6.5051193437344645,
      6.346163129282414,
      6.1894681765528015,
      6.034628850359054,
      5.88129465095297,
      5.729172862210604,
      5.578020275952203,
      5.427659538315733,
      5.2779783033162735,
      5.128932446583741,
      4.980551920656428,
      4.832936793622288,
      4.6862418682577545,
      4.540677544871965,
      4.396511966669996,
      4.254057586889573,
      4.113660160489127,
      3.9756938500530823,
      3.8405506450196736,
      3.7086293169116398,
      3.5803206272145935,
      3.4559963677625074,
      3.336001568328713,
      3.2206414191839907,
      3.11017477863386,
      3.004810668842503,
      2.904709316620534,
      2.809982889426174,
      2.720686330450501,
      2.6368070565547677,
      2.55828676035124,
      2.485030702046817,
      2.4169101221189018,
      2.3537422810011583,
      2.2952849192624094,
      2.2412457783070177,
      2.191278870542903,
      2.1449922366259986,
      2.1019746608145757,
      2.0618205814499047,
      2.024152781881516,
      1.988593296376328,
      1.9548163358197035,
      1.9225666181306391,
      1.8916443534368559,
      1.8618898956069816,
      1.8331779093771554,
      1.8054068718879892,
      1.7784865527022595,
      1.7523409291298382,
      1.726908822844096,
      1.7021403172057576,
      1.6779939433295892,
      1.6544352907307414,
      1.63143507431788,
      1.6089672746448336,
      1.5870079988979808,
      1.5655352689080053,
      1.5445291238762686,
      1.5239719506609513,
      1.5038481885381976,
      1.484143858255933,
      1.4648456888306884,
      1.4459405540432508,
      1.4274155012349685,
      1.4092576023460521,
      1.3914542974347022,
      1.3739935651575468,
      1.3568643164204053,
      1.3400561135326092,
      1.32355880542801,
      1.307362556184625,
      1.2914578606918217,
      1.2758355522713118,
      1.2604868040939976,
      1.2454031254599054,
      1.2305763563877232,
      1.2159986583543807,
      1.2016625047090825,
      1.1875606691382206,
      1.1736862145651579,
      1.1600324808908924,
      1.1465931946971946,
      1.1333628751146703,
      1.1203369719858083,
      1.1075110138421138,
      1.0948804212265417,
      1.0824405763705351,
      1.070187240442056,
      1.0581167382617767,
      1.0462253924785525,
      1.034509949645455,
      1.0229673841599223,
      1.0115947932787392,
      1.0003891575317467,
      0.9893473028137139,
      0.9784659774236711,
      0.9677419055608163,
      0.9571718245312294,
      0.9467525100971843,
      0.9364807930062665,
      0.926353570231215,
      0.9163678118447522,
      0.9065205645486527,
      0.8968089538838303,
      0.8872301843978255,
      0.8777815390760346,
      0.8684603777612188,
      0.8592641355045185,
      0.850190321077051,
      0.8412365142410457,
      0.8324003637857622,
      0.823679562387869,
      0.8150718348215068,
      0.8065749801803588,
      0.7981867393637121,
      0.7899043873675171,
      0.7817252767007177,
      0.7736470167084082,
      0.7656674147159601,
      0.7577844327542691,
      0.7499961565670582,
      0.7423007727167716,
      0.7346965514074468,
      0.7271818341286511,
      0.7197550239654906,
      0.7124146153100909,
      0.705159596962594,
      0.6979892687525662,
      0.6909032580110709,
      0.6839011273536137,
      0.6769821708079676,
      0.6701455026424894,
      0.6633901196164967,
      0.6567149441227074,
      0.6501188544805526,
      0.6436007064427075,
      0.6371593477643408,
      0.6307936283764697,
      0.624502407345579,
      0.6182845573838398,
      0.6121389678195762,
      0.6060645467308319,
      0.6000602220502235,
      0.594124942082726,
      0.5882576759778181,
      0.5824574135774587,
      0.5767234800887894,
      0.5710557829221822,
      0.5654540774712972,
      0.5599179035498527,
      0.5544466559252355,
      0.5490396337276098,
      0.5436960744641607,
      0.5384151785252526,
      0.533196124873138,
      0.5280380831582568,
      0.5229402212607965,
      0.5179017107028244,
      0.5129217304353946,
      0.5079994690154781,
      0.5031341262008231,
      0.498324914175035,
      0.49357105795110084,
      0.4888717954921403,
      0.4842263781629295,
      0.4796340704222099,
      0.47509414969923064,
      0.4706059066083297,
      0.46616864420713183,
      0.46178167800369385,
      0.45744433564488396,
      0.45315595664380176,
      0.44891589222387324,
      0.44472350487317514,
      0.4405781683225702,
      0.43647926713422724,
      0.4324261963342862,
      0.428418361343692,
      0.42445517762369767,
      0.4205360705706738,
      0.41666047522841027,
      0.4128278359970573,
      0.4090376064656275,
      0.40528924913979836,
      0.40158223549846217,
      0.39791604554031584,
      0.39429016758318863,
      0.3907040981898024,
      0.38715734199163954,
      0.383649411308979,
      0.3801798264074998,
      0.37674811494179283,
      0.37335381183270877,
      0.36999645929797803,
      0.3666756065800303,
      0.36339080982815863,
      0.36014163200848814,
      0.3569276425626264,
      0.3537484175009229,
      0.3506035391428308,
      0.3474925960133658,
      0.3444151279368195,
      0.341370511461368,
      0.3383581586870449,
      0.33537755015960125,
      0.33242821615500545,
      0.32950972345945956,
      0.32662166619859656,
      0.32376365915598276,
      0.3209353331122949,
      0.31813633137422037,
      0.31536630753221606,
      0.3126249237008908,
      0.3099118492362955,
      0.30722691176792344,
      0.30457004021222783,
      0.3019410923247516,
      0.2993398747035886,
      0.2967661590019504,
      0.29421969333199227,
      0.2917002103784225,
      0.28920743318045494,
      0.28674107912551317,
      0.2843008626149601,
      0.28188649721349834,
      0.2794976969596,
      0.27713417737671864,
      0.27479565602339256,
      0.2724818529798006,
      0.2701924911571278,
      0.26792729650884745,
      0.26568599820738326,
      0.2634683646812664,
      0.26127419095781496,
      0.25910325708476595,
      0.25695533282676003,
      0.25483018162550386,
      0.25272756358878473,
      0.25064723698509983,
      0.2485889600186075,
      0.24655249158034104,
      0.24453759198370784,
      0.24254399229686008,
      0.2405714015821469,
      0.23861955143142805,
      0.23668825363460438,
      0.234777360938797,
      0.2328867036774175,
      0.2310160972746214,
      0.2291653474577071,
      0.22733425387668346,
      0.22552261259005246,
      0.2237302178460087,
      0.2219568634588451,
      0.2202023436709557,
      0.21846645373324647,
      0.2167489903204289,
      0.2150497517957731,
      0.21336853846629544,
      0.2117051526895903,
      0.2100593988579639,
      0.2084310835530853,
      0.20682001224717103,
      0.2052259593449287,
      0.2036486906152862,
      0.20208798885682688,
      0.20054364967908403,
      0.19901547836302624,
      0.19750328755722435,
      0.19600689578878835,
      0.19452612629983362,
      0.1930608062305415,
      0.19161076608230407,
      0.19017583925512382,
      0.18875586186152205,
      0.18735067224343535,
      0.18596011100480245,
      0.1845840207711041,
      0.18322224626023426,
      0.18187463400350193,
      0.18054103236461205,
      0.1792212915258231,
      0.17791526355609594,
      0.17662280207764194,
      0.17534376235692933,
      0.17407800146430022,
      0.1728253780446047,
      0.17158575234710421,
      0.17035898622210302,
      0.1691449430462372,
      0.16794348779214824,
      0.16675448695070788,
      0.1655778085404845,
      0.16441332192481717,
      0.16326089793840398,
      0.16212040901849725,
      0.16099172899134173,
      0.15987473287563306,
      0.15876929736420978,
      0.15767530043951788,
      0.1565926213176196,
      0.15552114064437347,
      0.15446074034594906,
      0.15341130373218057,
      0.1523727153559285,
      0.15134486100378886,
      0.15032762777363837,
      0.14932090395280612,
      0.14832457911641786,
      0.14733854392483897,
      0.14636269036983493,
      0.1453969116816245,
      0.1444411021511688,
      0.14349515719142625,
      0.14255897342742097,
      0.14163244856808666,
      0.14071548146631307,
      0.13980797200437795,
      0.13890982118667852,
      0.13802093110265312,
      0.13714120496971496,
      0.1362705469955298,
      0.1354088624665311,
      0.1345560576553986,
      0.13371203975749807,
      0.1328767182928854,
      0.13205000837582953,
      0.131231811162079,
      0.13042197648097625,
      0.12962031980097732,
      0.12882665743747482,
      0.12804083030946045,
      0.12726266024762084,
      0.12649197467343648,
      0.12572862967433032,
      0.1249725025193116,
      0.12422348610954657,
      0.12348148498404449,
      0.12274641812890409,
      0.1220182751073563,
      0.12129707464289645,
      0.12058281108113095,
      0.11987546148459996,
      0.11917499055713912,
      0.11848135414597266,
      0.11779450188872308,
      0.11711437907933078,
      0.1164409281033321,
      0.11577408930195399,
      0.1151138018153616,
      0.11446000409015944,
      0.11381263425690276,
      0.11317163034727877,
      0.11253693038965183,
      0.11190847273360034,
      0.11128619610184162,
      0.11067003965629854,
      0.11005994300201151,
      0.10945584622448995,
      0.10885768999876101,
      0.10826541554134715,
      0.10767896457074197,
      0.10709827947328542,
      0.10652328983361485,
      0.10595387746287523,
      0.105389928982341,
      0.10483134851193723,
      0.10427805322997671,
      0.10372996978513953,
      0.10318703197302127,
      0.10264917886630111,
      0.10211635352511031,
      0.10158850205367792,
      0.10106557294203335,
      0.10054751641701092,
      0.10003428422624529,
      0.09952582922400936,
      0.09902210650052036,
      0.09852307612394509,
      0.09802869822885915,
      0.0975389322031266,
      0.09705373688191307,
      0.09657307088615229,
      0.09609688367744161,
      0.0956250862631226,
      0.0951575892891262,
      0.09469431750859143,
      0.09423520610013746,
      0.093780198000217,
      0.09332924200376795,
      0.09288229121810412,
      0.09243930205537973,
      0.09200023356844612,
      0.0915650465869054,
      0.09113370346474388,
      0.09070616765525853,
      0.09028240369763296,
      0.08986237688947281,
      0.08944605309593985,
      0.08903339882176621,
      0.08862438109492847,
      0.08821896733319816,
      0.08781712525034095,
      0.08741882297343864,
      0.0870240290026232,
      0.08663271222314858,
      0.08624484167723313,
      0.08586038677540467,
      0.08547931720381857,
      0.08510160295357667,
      0.08472721422393767,
      0.0843561216061643,
      0.0839882959254051,
      0.08362370829974951,
      0.08326233004774142,
      0.08290413273643787,
      0.08254908824330631,
      0.08219716864112028,
      0.08184834627756711,
      0.0815025938115099,
      0.08115988406890023,
      0.08082019011268549,
      0.08048348535478428,
      0.08014974330994108,
      0.07981893780188454,
      0.07949104286500323,
      0.07916603275842336,
      0.07884388198380855,
      0.07852456532981843,
      0.07820805771706718,
      0.07789433427598534,
      0.07758337041892717,
      0.07727514179255625,
      0.07696962426934699,
      0.0766667938379686,
      0.07636662678704524,
      0.0760690996448779,
      0.07577418906940149,
      0.07548187198970212,
      0.07519212551331346,
      0.07490492689463735,
      0.07462025367571962,
      0.07433808352260092,
      0.07405839441858088,
      0.073781164451457,
      0.0735063719129111,
      0.07323399527466816,
      0.07296401322248736,
      0.07269640465281019,
      0.0724311486258302,
      0.07216822439228368,
      0.07190761143994533,
      0.07164928933761776,
      0.07139323784651512,
      0.07113943699424091,
      0.07088786692401249,
      0.0706385079636698,
      0.0703913406319827,
      0.07014634554682092,
      0.06990350360115376,
      0.06966279581867807
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991175604050532,
      10.787202725716334,
      10.57316133640546,
      10.351408970631518,
      10.1242905115731,
      9.893906266514891,
      9.662130754022806,
      9.430624517728939,
      9.200846288117068,
      8.974066996047666,
      8.751352518793956,
      8.533545096316727,
      8.321255106230886,
      8.11486556986221,
      7.914547698913852,
      7.720284990314211,
      7.531903760650707,
      7.349104022032073,
      7.171490076246074,
      6.998600483154159,
      6.829935189460038,
      6.6649792486186,
      6.503222988790918,
      6.344178780338105,
      6.18739471159338,
      6.032465551160023,
      5.879041366115057,
      5.726830103406607,
      5.575589154142919,
      5.425142229359589,
      5.275378160830824,
      5.126254021203121,
      4.977801023566909,
      4.830120389302416,
      4.68336795858235,
      4.537755393316491,
      4.393551984568421,
      4.251071500043555,
      4.110660617924062,
      3.972694017814254,
      3.837563989048504,
      3.70566928213869,
      3.5774003285241425,
      3.453128533334877,
      3.3331985068383054,
      3.2179141372482456,
      3.1075328388655286,
      3.002262218746255,
      2.9022610109765763,
      2.807639974899303,
      2.7184515388682238,
      2.634681336380641,
      2.5562699625870637,
      2.4831216865240053,
      2.4151063524233365,
      2.352038470632788,
      2.2936739053217425,
      2.239718487206213,
      2.1898247637695527,
      2.143600156951884,
      2.1006330254122703,
      2.0605190498447334,
      2.022881444771363,
      1.987342788140943,
      1.953579381498041,
      1.921337737021722,
      1.8904193870969457,
      1.8606656693291501,
      1.8319519866485536,
      1.804177195364294,
      1.777251522632931,
      1.751099403839601,
      1.7256600026798563,
      1.7008836520780268,
      1.6767290547187856,
      1.6531617998358032,
      1.6301526857895616,
      1.6076758228669255,
      1.5857074306369356,
      1.5642255744887015,
      1.54321032398485,
      1.5226437651501432,
      1.5025101494737356,
      1.4827952552972834,
      1.4634859559043822,
      1.4445692877141934,
      1.4260323442557958,
      1.4078622601641104,
      1.3900465726772004,
      1.3725733551995782,
      1.3554316076907236,
      1.3386109224124474,
      1.322101170813664,
      1.3058925329941917,
      1.2899755153823327,
      1.274340959804292,
      1.2589800452276934,
      1.2438842852305574,
      1.2290455222008554,
      1.2144559192603317,
      1.200107950487539,
      1.1859943898008256,
      1.1721082993582335,
      1.1584430187298886,
      1.1449922919549003,
      1.1317507474580988,
      1.1187138901652558,
      1.105877203453664,
      1.0932360732338797,
      1.0807860809849483,
      1.0685234391052292,
      1.0564443482805173,
      1.0445453298626424,
      1.032823204129929,
      1.0212748816731811,
      1.009897307235126,
      0.9986872467184726,
      0.9876413730143424,
      0.9767563251520196,
      0.9660287495729765,
      0.9554553283228238,
      0.9450327979175861,
      0.9347579613513305,
      0.9246276958523515,
      0.9146389578678914,
      0.9047887848159065,
      0.895074295527076,
      0.8854926899728983,
      0.8760412478543197,
      0.866717326945628,
      0.8575183611181454,
      0.8484418582213779,
      0.8394853977939073,
      0.8306466285224667,
      0.8219232408988416,
      0.8133129595297459,
      0.8048135845284844,
      0.7964227590723153,
      0.7881377054785741,
      0.7799558199531238,
      0.771874743274055,
      0.7638923052633008,
      0.7560064844567578,
      0.7482153787183291,
      0.7405171833333148,
      0.732910174707485,
      0.725392698932926,
      0.7179631625066281,
      0.7106202032716226,
      0.7033629810881267,
      0.6961909795693539,
      0.6891038727137627,
      0.6821010575157044,
      0.6751817116724036,
      0.6683448675037389,
      0.6615894638041833,
      0.6549143821909077,
      0.6483184726106187,
      0.641800570730894,
      0.6353595101993917,
      0.6289941312114339,
      0.6227032860047049,
      0.616485842369972,
      0.6103406866216566,
      0.6042667244644057,
      0.5982628822580629,
      0.5923281073419494,
      0.5864613682651021,
      0.5806617285001106,
      0.5749288874982815,
      0.5692627277825058,
      0.5636628710436468,
      0.558128763668129,
      0.552659735184552,
      0.547255039083893,
      0.5419138810798609,
      0.5366354391517955,
      0.5314188769628223,
      0.5262633534737234,
      0.5211680291678046,
      0.5161320704879264,
      0.5111546527069158,
      0.5062349619302884,
      0.5013721963943887,
      0.4965655672194023,
      0.4918142985971874,
      0.48711762823164284,
      0.482474807195851,
      0.47788509981937194,
      0.4733477834032938,
      0.46886214845248175,
      0.4644274980277754,
      0.46004314761862064,
      0.45570842490035374,
      0.45142266963327055,
      0.4471852329915656,
      0.4429954774673513,
      0.43885277676581,
      0.4347565153875669,
      0.43070608838212876,
      0.4267009011708289,
      0.42274036933933323,
      0.41882391819616643,
      0.4149509826575186,
      0.4111210072044725,
      0.4073334454304762,
      0.403587759891417,
      0.3998834219281091,
      0.39621991138539103,
      0.3925967165843815,
      0.3890133340653193,
      0.38546926838109,
      0.38196403191620465,
      0.3784971446300749,
      0.3750681341314682,
      0.3716765352712587,
      0.36832189016886535,
      0.3650037479862784,
      0.36172166488256735,
      0.3584752035636599,
      0.35526393347068635,
      0.3520874305130725,
      0.34894527688154375,
      0.3458370453001523,
      0.34276215728111314,
      0.33971998900676414,
      0.33670999421215664,
      0.3337316825639915,
      0.3307846049154438,
      0.3278683424861687,
      0.32498249958614245,
      0.322126698126065,
      0.3193005737688399,
      0.31650377333883944,
      0.3137359528316152,
      0.31099677594053776,
      0.3082859569267911,
      0.30560339389624125,
      0.30294898392434566,
      0.300322559966148,
      0.2977239110832277,
      0.2951527964391358,
      0.29260895524296326,
      0.2900921138990091,
      0.2876019909236638,
      0.28513830030968423,
      0.2827007541259772,
      0.28028906427497,
      0.2779029434638632,
      0.275542106285234,
      0.27320626949462967,
      0.2708951526828658,
      0.26860847826392564,
      0.2663459718475793,
      0.26410737960655456,
      0.26189249103498435,
      0.25970108971496203,
      0.2575329468657576,
      0.2553878260774668,
      0.2532654864068148,
      0.25116568464834604,
      0.24908817685345186,
      0.24703271958636475,
      0.24499907050216527,
      0.24298697226431895,
      0.2409961323645118,
      0.23902627328399254,
      0.23707720030419374,
      0.23514876200330437,
      0.23324078490072608,
      0.2313530809630185,
      0.22948545256455802,
      0.2276376961353005,
      0.22580960462440766,
      0.22400096945050774,
      0.22221158148817438,
      0.22044123221399034,
      0.21868971407508073,
      0.21695682104898126,
      0.21524234887470775,
      0.2135460953130086,
      0.21186786014373762,
      0.21020744532025742,
      0.20856465495138402,
      0.20693929298691308,
      0.20533113269711226,
      0.20373993635257345,
      0.2021654837667371,
      0.20060756764704307,
      0.19906599061136654,
      0.19754056287560254,
      0.19603110050220024,
      0.19453742449591074,
      0.1930593598140218,
      0.19159673486080386,
      0.19014938101813664,
      0.1887171322492259,
      0.18729982490110847,
      0.18589729759076332,
      0.18450939105994918,
      0.1831359480363294,
      0.18177681322770084,
      0.1804318331567562,
      0.1791008562559148,
      0.17778373264937475,
      0.17648031422047863,
      0.17519045455687018,
      0.17391400898985213,
      0.17265083442281098,
      0.1714007894952556,
      0.17016373447207297,
      0.16893953103615827,
      0.16772804250505546,
      0.1665291337600842,
      0.1653426711485289,
      0.1641685226319889,
      0.1630065576219042,
      0.16185664690860813,
      0.1607186627408996,
      0.15959247888500283,
      0.15847797044642886,
      0.15737501398886103,
      0.15628348735237232,
      0.15520326981265456,
      0.1541342419206816,
      0.1530762855945785,
      0.15202928402493657,
      0.15099312173705606,
      0.14996768451765333,
      0.14895285930735055,
      0.14794853438973654,
      0.14695459929853844,
      0.1459709447989577,
      0.1449974627902715,
      0.14403404639687706,
      0.14308058985354655,
      0.14213698850215598,
      0.1412031390405316,
      0.14027893911430497,
      0.1393642874462275,
      0.13845908401993506,
      0.13756322979753324,
      0.13667662678372322,
      0.13579917817633816,
      0.1349307881519264,
      0.13407136192214283,
      0.13322080572319406,
      0.13237902680932295,
      0.1315459335067965,
      0.1307214252275841,
      0.12990535661289607,
      0.12909755007002233,
      0.12829781895489345,
      0.1275060065332995,
      0.12672193990591635,
      0.12594544026795387,
      0.1251763590740178,
      0.12441457003836377,
      0.12365997017089493,
      0.12291253496539974,
      0.12217227145051915,
      0.12143916501492015,
      0.12071318560265937,
      0.11999429207619268,
      0.11928243548000353,
      0.11857756144058658,
      0.1178796118009662,
      0.11718852584582648,
      0.11650424124967962,
      0.11582669454738596,
      0.11515582186117994,
      0.11449155893247319,
      0.11383384159723424,
      0.11318260584800817,
      0.11253778804284736,
      0.11189932493077055,
      0.11126715383142703,
      0.11064121243496525,
      0.11002143903592375,
      0.10940777242569534,
      0.10880015200930668,
      0.10819851776561128,
      0.10760281033654151,
      0.10701297084550204,
      0.10642894103538333,
      0.10585066321803503,
      0.10527807035857932,
      0.10471104958800699,
      0.10414948540153757,
      0.10359328048963985,
      0.10304235089664666,
      0.1024966224602456,
      0.10195602839554518,
      0.10142050746739964,
      0.1008900024450836,
      0.1003644592594822,
      0.09984382912949888,
      0.0993280680516979,
      0.09881713205801525,
      0.09831097713082576,
      0.09780955920601697,
      0.09731283428391561,
      0.0968207587823891,
      0.09633328919767294,
      0.09585038239563193,
      0.09537199210832871,
      0.09489803668637319,
      0.09442842171143007,
      0.0939630681443138,
      0.09350190839153125,
      0.09304488322609823,
      0.09259193974618402,
      0.09214302977162143,
      0.09169810868488727,
      0.09125713459759752,
      0.09082006766757317,
      0.09038686967167414,
      0.08995750369977105,
      0.08953193378338666,
      0.08911012481451987,
      0.088692042333997,
      0.08827765245593033,
      0.08786692179440123,
      0.08745981744299886,
      0.08705630693049403,
      0.08665635811470626,
      0.0862599392559858,
      0.0858670189199966,
      0.08547756593275964,
      0.08509154944490264,
      0.08470893888892886,
      0.08432970405826609,
      0.08395381493987006,
      0.08358124179535252,
      0.08321195531977615,
      0.08284592626748721,
      0.08248312576528767,
      0.08212352518810502,
      0.08176709615335884,
      0.08141381053506953,
      0.08106364046978246,
      0.08071655836631071,
      0.08037253683082594,
      0.08003154876431616,
      0.07969356727055617,
      0.07935856573637558,
      0.07902651775398896,
      0.07869739717152122,
      0.0783711780330059,
      0.07804783465587546,
      0.07772734162059812,
      0.07740967369116632,
      0.077094805850946,
      0.07678271326609092,
      0.07647337140556103,
      0.07616675593640114,
      0.07586284266436158,
      0.07556160776138161,
      0.07526302753303005,
      0.07496707848582107,
      0.07467373732491213,
      0.07438298098778777,
      0.07409478654838313,
      0.07380913139533,
      0.07352599312815172,
      0.07324534947031056,
      0.07296717830674804,
      0.07269145777610858,
      0.07241816620157938,
      0.07214728215640297,
      0.07187878435177737,
      0.07161265166558244,
      0.07134886319058847,
      0.07108739824548437,
      0.07082823629765173,
      0.0705713569915086,
      0.07031674015194951,
      0.07006436577914509,
      0.06981421410746823,
      0.06956626551270008,
      0.06932050055662484,
      0.0690768998827093,
      0.06883544436664499,
      0.06859611510867777
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991164558620031,
      10.78715220605809,
      10.573050128897583,
      10.351220315313324,
      10.124012734429986,
      9.893532229785471,
      9.66165680534264,
      9.43004977943445,
      9.200171665676773,
      8.97329449955485,
      8.750484800973426,
      8.53258510517803,
      8.320205776213848,
      8.113729566738233,
      7.913327229814818,
      7.718981700854001,
      7.530518693679299,
      7.347637576893619,
      7.1699420596818015,
      6.996970200330397,
      6.828221561969867,
      6.6631809540845115,
      6.50133861506283,
      6.342206986525867,
      6.185334393421789,
      6.0303160076586115,
      5.87680246220707,
      5.724502363338637,
      5.57317370199656,
      5.422641251814152,
      5.272795018765117,
      5.123593266188256,
      4.975068460469848,
      4.827322967943324,
      4.680513655861849,
      4.534853437378344,
      4.39061274186942,
      4.248106640667896,
      4.107682725492351,
      3.9697161822213425,
      3.834599590289518,
      3.7027316714538197,
      3.574502522386371,
      3.4502833357753167,
      3.330418135641444,
      3.215209513220701,
      3.104913404792319,
      2.9997360090552654,
      2.8998345778455867,
      2.8053184732102125,
      2.716237625866104,
      2.632575899543754,
      2.5542728030848654,
      2.481231625785916,
      2.413320828309759,
      2.3503521915324863,
      2.2920797210144515,
      2.238207356775317,
      2.1883857575659724,
      2.1422222681800673,
      2.099304826908172,
      2.0592303379550425,
      2.0216224075949714,
      1.9861042015833925,
      1.9523540800299743,
      1.920120322356179,
      1.8892057634279462,
      1.8594527095028268,
      1.8307372878035109,
      1.802958725043685,
      1.7760277002867297,
      1.7498691017059078,
      1.724422431163195,
      1.6996382684787643,
      1.675475495996721,
      1.6518996987292005,
      1.628881745123369,
      1.6063958574461565,
      1.5844183757766181,
      1.5629274281126417,
      1.541903112611356,
      1.5213273182284042,
      1.5011841174168883,
      1.4814590020618892,
      1.46213884361086,
      1.4432108581361947,
      1.424662188980884,
      1.4064800561055215,
      1.388652101331854,
      1.3711664977579063,
      1.3540123380032107,
      1.337179247160134,
      1.3206571210887526,
      1.3044361583510367,
      1.288506879035627,
      1.2728601341579147,
      1.257487109257088,
      1.2423793225968685,
      1.2275286197895963,
      1.2129271657862049,
      1.1985674350616042,
      1.1844422017288225,
      1.1705445281519387,
      1.1568677532618112,
      1.1434056760807854,
      1.1301530455239466,
      1.1171053511567997,
      1.104258036837388,
      1.0916065946913356,
      1.0791471019764798,
      1.0668757133822742,
      1.0547887209055788,
      1.042882808861705,
      1.031154680091012,
      1.0196011775095783,
      1.0082190167391167,
      0.9970048009738087,
      0.9859550867602811,
      0.9750664304606705,
      0.964335419742787,
      0.9537586949799404,
      0.9433329629817174,
      0.9330550058722638,
      0.9229216864964856,
      0.912929951016061,
      0.9030768295024159,
      0.8933594357339959,
      0.8837749663866411,
      0.8743206989868236,
      0.8649939900299002,
      0.855792272526259,
      0.8467130537620036,
      0.8377539130942636,
      0.8289124990885496,
      0.8201865005320182,
      0.8115736418782832,
      0.8030717240123465,
      0.7946782684662242,
      0.7863904790063987,
      0.7782057923180472,
      0.7701218785813085,
      0.7621365890057931,
      0.7542479175778193,
      0.7464539733309258,
      0.7387529596269643,
      0.7311431590106169,
      0.7236229217043424,
      0.7161906574476733,
      0.7088452490318001,
      0.7015860214512718,
      0.6944126433952308,
      0.6873246421446568,
      0.6803212776341827,
      0.6734016308537006,
      0.6665646660066639,
      0.6598092740896604,
      0.6531343031106377,
      0.6465385792880687,
      0.6400209216638322,
      0.6335801525967301,
      0.6272151040719189,
      0.6209246224465628,
      0.6147075716012476,
      0.6085628351244713,
      0.6024893170325695,
      0.5964859424595358,
      0.5905516578910558,
      0.5846854313306972,
      0.5788866160577615,
      0.5731551146419426,
      0.5674906539251033,
      0.5618927479864174,
      0.5563607678944815,
      0.5508939903380422,
      0.5454916322119192,
      0.5401528736103332,
      0.5348768747490174,
      0.5296627868226431,
      0.5245097601690356,
      0.5194169492348104,
      0.5143835162962019,
      0.5094086338227948,
      0.5044914860803892,
      0.49963127013439906,
      0.49482719618295146,
      0.49007848773322876,
      0.48538438210758467,
      0.48074413013874595,
      0.4761569960735292,
      0.47162225728021495,
      0.467139204193357,
      0.4627071398622174,
      0.4583253799175858,
      0.45399325201763685,
      0.4497100957906705,
      0.44547526243694263,
      0.44128811467705525,
      0.43714802615828785,
      0.433054381361186,
      0.4290065753976153,
      0.4250040136755769,
      0.42104611171116535,
      0.41713229480856656,
      0.4132619979136742,
      0.4094346654388547,
      0.40564975088133376,
      0.40190671674415107,
      0.39820503427689485,
      0.3945441834186937,
      0.3909236524097486,
      0.38734293768179595,
      0.38380154369758546,
      0.3802989827396386,
      0.3768347746996795,
      0.37340844709748006,
      0.37001953472018545,
      0.3666675796189877,
      0.3633521308533384,
      0.36007274428855846,
      0.3568289827259541,
      0.35362041537514227,
      0.3504466180409217,
      0.3473071728812981,
      0.34420156184276995,
      0.34112914666188726,
      0.3380893497593155,
      0.3350816574252057,
      0.33210560225414054,
      0.3291607511774129,
      0.32624669696366126,
      0.32336305184671854,
      0.3205094432331917,
      0.31768551063438394,
      0.3148909035451428,
      0.3121252797407675,
      0.30938830418936464,
      0.3066797711974471,
      0.3039996040088454,
      0.3013476683387359,
      0.2987237750045598,
      0.29612769720368376,
      0.2935591828195605,
      0.29101796313828265,
      0.2885037589107624,
      0.28601628444509103,
      0.2835552508385057,
      0.28112036809385754,
      0.27871134653609636,
      0.2763278976233798,
      0.27396973494436916,
      0.27163657477031716,
      0.26932813607458733,
      0.26704414093634504,
      0.26478431972920435,
      0.26254844666423865,
      0.26033630984979705,
      0.2581476826967399,
      0.2559823291889943,
      0.25384000762131886,
      0.2517204733685497,
      0.24962348054341693,
      0.2475487832748907,
      0.24549613667550457,
      0.24346529073683193,
      0.24145595844600704,
      0.23946785137439514,
      0.23750076656033264,
      0.23555454854227598,
      0.2336290202248815,
      0.23172399010781788,
      0.22983925718525908,
      0.22797461478754447,
      0.22612985290856197,
      0.22430475981679762,
      0.22249912369410008,
      0.2207127331252338,
      0.21894537781425882,
      0.2171968490471138,
      0.21546693982583257,
      0.2137554452732925,
      0.2120621625844086,
      0.21038689110928854,
      0.20872943261996527,
      0.20708959023451487,
      0.2054671369690866,
      0.20386183101482125,
      0.20227344866920563,
      0.2007017795988682,
      0.19914662357872154,
      0.1976077881065742,
      0.19608508682113607,
      0.1945783383733462,
      0.19308736545472877,
      0.19161199425895037,
      0.1901520539670765,
      0.18870737639506677,
      0.18727779590376695,
      0.18586314915133298,
      0.18446327487797237,
      0.183078013938751,
      0.18170720910073193,
      0.1803507050495653,
      0.1790083483761911,
      0.17767998736579682,
      0.17636547209692036,
      0.1750646543934522,
      0.1737773877944203,
      0.1725035275545096,
      0.17124293056059425,
      0.1699954553042732,
      0.1687609618846505,
      0.16753931202861466,
      0.1663303690401144,
      0.165133997696912,
      0.16395006429806183,
      0.16277843671629436,
      0.16161898426440652,
      0.1604715777254197,
      0.1593360892917053,
      0.15821239262943243,
      0.15710036280784587,
      0.15599987630951714,
      0.15491081092400374,
      0.15383304591306884,
      0.15276646176704275,
      0.15171094039155728,
      0.1506663648660541,
      0.1496326196197332,
      0.14860959038924632,
      0.1475971641426821,
      0.1465952290709489,
      0.1456036746787951,
      0.14462239164472065,
      0.14365127187584056,
      0.14269020842671878,
      0.14173909553016406,
      0.14079782857491072,
      0.13986630407428374,
      0.13894441962597867,
      0.1380320740281518,
      0.13712916717066848,
      0.13623559999365872,
      0.1353512745386322,
      0.13447609390164492,
      0.13360996224734137,
      0.1327527848330186,
      0.13190446784557913,
      0.13106491855353566,
      0.13023403196469313,
      0.12941165863552404,
      0.12859763026970777,
      0.12779176155056463,
      0.12699389243799286,
      0.1262038584514396,
      0.12542147945497115,
      0.12464660498497801,
      0.12387917433353939,
      0.1231191741772291,
      0.12236657457844556,
      0.12162133366608995,
      0.12088340120915528,
      0.12015272101879032,
      0.11942923295192386,
      0.11871287405308364,
      0.11800357956457264,
      0.11730128355370632,
      0.11660591949741202,
      0.11591742066067957,
      0.11523572032754323,
      0.1145607518794172,
      0.11389244901983507,
      0.1132307459431025,
      0.11257557727538169,
      0.11192687831653035,
      0.11128458474991278,
      0.11064863288782255,
      0.11001895966477807,
      0.10939550267123943,
      0.10877819999239792,
      0.10816699037973368,
      0.10756181324662255,
      0.1069626085265463,
      0.10636931678774755,
      0.10578187916538392,
      0.10520023748069023,
      0.10462433403140138,
      0.10405410633639962,
      0.10348944836907113,
      0.10293024179237631,
      0.10237638726491857,
      0.10182779931047573,
      0.1012844027957576,
      0.10074613392578324,
      0.10021293691473755,
      0.09968475845442237,
      0.09916154720484847,
      0.09864325329841106,
      0.09812982820610372,
      0.09762122439869715,
      0.09711739517088813,
      0.09661829462759791,
      0.09612387745688297,
      0.09563409899140513,
      0.09514891517069993,
      0.09466828239101237,
      0.09419212933064433,
      0.09372035928743562,
      0.09325288887508144,
      0.0927896471300305,
      0.09233057238761748,
      0.09187560983021073,
      0.09142470976183578,
      0.09097782645598446,
      0.09053491706969201,
      0.09009594097592892,
      0.08966085937813077,
      0.0892296347344105,
      0.08880223071479282,
      0.08837861176221308,
      0.08795874300650512,
      0.08754259017446578,
      0.08713011966769318,
      0.08672129821673336,
      0.08631609303914395,
      0.08591447177664309,
      0.08551640237022902,
      0.0851218530701454,
      0.08473079247875824,
      0.08434318946748277,
      0.08395901325384117,
      0.08357823335893758,
      0.08320081955332213,
      0.08282674191830577,
      0.08245597074308952,
      0.0820884766771743,
      0.08172423056913027,
      0.0813632035511685,
      0.08100536698139794,
      0.08065069255585197,
      0.08029915220844802,
      0.07995071813609975,
      0.07960536278320063,
      0.07926305882734523,
      0.0789237791212067,
      0.0785874967814125,
      0.07825418519894049,
      0.07792381808875977,
      0.0775963692702643,
      0.07727181287446043,
      0.07695012326268132,
      0.07663127501312876,
      0.07631524291777288,
      0.07600200197682228,
      0.07569152739402528,
      0.0753837946363823,
      0.07507877943434649,
      0.0747764576304647,
      0.07447680536229224,
      0.0741797990208144,
      0.07388541515550248,
      0.07359363052964085,
      0.07330442207788866,
      0.07301776702969126,
      0.07273364276051826,
      0.07245202676762873,
      0.07217289689115254,
      0.07189623110709659,
      0.07162200753725313,
      0.07135020455186332,
      0.07108080072995897,
      0.07081377486210261,
      0.07054910584567266,
      0.0702867728095528,
      0.07002675507110924,
      0.06976903206534263,
      0.06951358354162417,
      0.06926038937996545,
      0.0690094295859023,
      0.06876068440035257,
      0.06851413423874674,
      0.06826975970693511,
      0.06802754151305634,
      0.06778746057060082,
      0.06754949798767611
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991153587347243,
      10.787102025628945,
      10.572939678873025,
      10.351032958689748,
      10.123736874434433,
      9.893160779423951,
      9.661186140170804,
      9.429479030440087,
      9.199501735399851,
      8.972527390280945,
      8.749623152086034,
      8.531631849714522,
      8.3191638335227,
      8.112601586785479,
      7.912115406125724,
      7.71768766699656,
      7.529143484054499,
      7.346181588667871,
      7.168405103416766,
      6.995351587880154,
      6.826520226091978,
      6.661395586094278,
      6.499467818953335,
      6.340249439673995,
      6.183289011426243,
      6.028182109226134,
      5.874579931393994,
      5.722191740553912,
      5.57077612521865,
      5.420158918773568,
      5.270231296547762,
      5.120952705042106,
      4.972356855008312,
      4.824547247274993,
      4.677681767908927,
      4.531974570852088,
      4.387697210122114,
      4.245166047432841,
      4.104729576100219,
      3.9667634784429056,
      3.8316606144590577,
      3.699819670272073,
      3.571630402732329,
      3.4474638105285997,
      3.3276633227491645,
      3.2125302135547225,
      3.1023189503754627,
      2.9972343411492184,
      2.897432164286834,
      2.8030203858520406,
      2.714046456688025,
      2.6304924859028422,
      2.552296907151563,
      2.4793620406666452,
      2.4115549766444824,
      2.3486847868501135,
      2.2905036351217163,
      2.236713589875022,
      2.186963425222157,
      2.1408604444313273,
      2.097992173336208,
      2.0579567325178245,
      2.0203779946717515,
      1.9848798766457065,
      1.9511427712360185,
      1.9189167025933143,
      1.8880057912223855,
      1.8582533001630765,
      1.8295360688146889,
      1.8017536872324236,
      1.7748172816276166,
      1.74865218874361,
      1.7231982452517407,
      1.6984062747719801,
      1.6742353367862228,
      1.650651011211472,
      1.6276242358836153,
      1.6051293418340304,
      1.5831427909912115,
      1.5616427758904983,
      1.5406094217850648,
      1.5200244796240523,
      1.4998717746168255,
      1.480136697334867,
      1.4608058847105119,
      1.4418667100164202,
      1.423306389995954,
      1.4051122758165735,
      1.387272115442461,
      1.369774183307505,
      1.3526076663167517,
      1.3357622234438071,
      1.3192277755386075,
      1.3029945400381577,
      1.2870530503794357,
      1.271394167510853,
      1.2560090840211118,
      1.2408893227674662,
      1.2260267322805116,
      1.2114134794311466,
      1.1970420399344208,
      1.1829051884248833,
      1.1689959867235549,
      1.155307773382507,
      1.14183440449121,
      1.1285707491967274,
      1.1155122778824285,
      1.1026544679629282,
      1.0899932812020838,
      1.0775248488480498,
      1.0652452711086178,
      1.0531510947087936,
      1.0412388622814779,
      1.029505250467053,
      1.0179469275903676,
      1.0065604272845083,
      0.9953422224881545,
      0.9842887771974222,
      0.9733965820123853,
      0.962662177451243,
      0.9520821706643082,
      0.9416532449613185,
      0.9313721661829686,
      0.9212357854612804,
      0.9112410406028529,
      0.9013849561881404,
      0.8916646422200014,
      0.8820772927283763,
      0.8726201837005648,
      0.8632906705686247,
      0.8540861857874205,
      0.8450042364252978,
      0.8360424015865664,
      0.8271983300424649,
      0.8184697084305541,
      0.8098542612589588,
      0.8013497901800415,
      0.7929536971541893,
      0.7846631676867087,
      0.7764756785179665,
      0.7683889288546747,
      0.760400790712282,
      0.7525092732474226,
      0.7447124962265408,
      0.7370086709770294,
      0.7293960859393742,
      0.7218730955744131,
      0.714438230637542,
      0.7070905652688231,
      0.6998296394578566,
      0.6926551294071498,
      0.6855664006744698,
      0.6785625990728096,
      0.6716427253742902,
      0.6648056872287205,
      0.6580503358769372,
      0.6513754913573595,
      0.6447799601767026,
      0.6382625477411116,
      0.63182206666086,
      0.6254573422048197,
      0.6191672162258964,
      0.6129505495504308,
      0.6068062231754164,
      0.6007331396568981,
      0.594730223199865,
      0.5887964196501043,
      0.5829307900324183,
      0.5771330473241878,
      0.5714030486678874,
      0.565740392125515,
      0.560144501429486,
      0.554614684676525,
      0.5491501747838711,
      0.5437501577424781,
      0.5384137924985066,
      0.5331402242861494,
      0.5279285938745474,
      0.5227780443395719,
      0.5176877253602166,
      0.5126567957439057,
      0.5076844256935031,
      0.502769797910147,
      0.49791210840437683,
      0.4931105665374403,
      0.48836439546646204,
      0.4836728322084596,
      0.47903512750462157,
      0.47445054543622395,
      0.4699183633527608,
      0.46543787160568106,
      0.4610083733692147,
      0.45662918419325926,
      0.4522996318239389,
      0.4480190558599498,
      0.4437868075512266,
      0.43960224953772736,
      0.4354647555032663,
      0.43137371000000346,
      0.42732850808805045,
      0.4233285552232671,
      0.41937326691106996,
      0.41546206838076394,
      0.4115943944589205,
      0.40776968956634335,
      0.4039874072042361,
      0.40024700976819894,
      0.3965479684364459,
      0.3928897630312116,
      0.38927188172696947,
      0.3856938209359328,
      0.38215508501578643,
      0.37865518618093597,
      0.3751936442616349,
      0.3717699865661166,
      0.368383747819984,
      0.3650344700061013,
      0.3617217020283458,
      0.35844499981008904,
      0.3552039258608748,
      0.3519980493547333,
      0.34882694588084945,
      0.3456901573208481,
      0.34258706177733317,
      0.33951704597341914,
      0.3364795691776264,
      0.333474143617361,
      0.3305003203256223,
      0.3275576791333179,
      0.32464582175331896,
      0.3217643667867419,
      0.3189129460745943,
      0.3160912021138809,
      0.31329878655580806,
      0.3105353585968684,
      0.3078006111440717,
      0.3050944150530466,
      0.30241667838725345,
      0.29976724022498313,
      0.29714589253584045,
      0.29455239517279874,
      0.29198648656247483,
      0.28944789102294827,
      0.2869363243528875,
      0.2844514974452107,
      0.2819931188811105,
      0.2795608967296257,
      0.2771545399424267,
      0.2747737590938085,
      0.27241826702958116,
      0.2700877793380482,
      0.26778201449230193,
      0.2655006942120506,
      0.26324357150556177,
      0.26101043403121127,
      0.25880105840063844,
      0.25661520979647834,
      0.2544526464447251,
      0.2523131226552303,
      0.25019639065827254,
      0.24810220238902175,
      0.24603031045063609,
      0.24398046878183333,
      0.24195240008882848,
      0.23994580687500103,
      0.2379604749379007,
      0.2359962439111794,
      0.23405293329221585,
      0.23213034841565597,
      0.23022828520419256,
      0.22834653375983022,
      0.226484881063566,
      0.22464311266712164,
      0.2228210136497493,
      0.22101836979845144,
      0.21923496804910816,
      0.21747059700457458,
      0.2157250470229806,
      0.21399811050019982,
      0.2122895820801452,
      0.21059925855221148,
      0.20892693903377224,
      0.20727242494221204,
      0.20563549065484832,
      0.20401589142572024,
      0.2024133994259701,
      0.20082780079852744,
      0.19925889210518394,
      0.19770647795616647,
      0.1961703693804998,
      0.19465038256165323,
      0.19314633781965224,
      0.19165805905223868,
      0.1901853731617795,
      0.1887281098862719,
      0.18728610157532222,
      0.1858591827451275,
      0.18444719014901598,
      0.18304996270184504,
      0.18166734120717934,
      0.18029916843368143,
      0.17894528905742074,
      0.17760554955887187,
      0.1762797981634672,
      0.1749678849907088,
      0.17366966184029303,
      0.17238498216136905,
      0.17111370109012614,
      0.16985567542920185,
      0.1686107635554538,
      0.1673788255236407,
      0.16615972300978482,
      0.16495331918962844,
      0.1637594787806937,
      0.16257806806371053,
      0.1614089548007094,
      0.16025200831059425,
      0.1591070993270015,
      0.15797409999414233,
      0.15685288379056755,
      0.1557433257499733,
      0.15464530230546278,
      0.15355869123993365,
      0.15248337170449125,
      0.15141922415831835,
      0.15036613046610087,
      0.14932397366220138,
      0.1482926381707712,
      0.1472720096547284,
      0.14626197501543575,
      0.14526242244717943,
      0.1442732414324606,
      0.14329432257606128,
      0.14232555764009336,
      0.14136683969101577,
      0.14041806290758727,
      0.13947912265969165,
      0.13854991541304634,
      0.1376303388794065,
      0.1367202918019809,
      0.13581967399897443,
      0.13492838638496094,
      0.13404633097096566,
      0.13317341075350955,
      0.1323095298998434,
      0.13145459359361283,
      0.13060850803661242,
      0.1297711686605509,
      0.12894242488743626,
      0.12812211203051105,
      0.12731004377199145,
      0.12650605640536472,
      0.12570999575447292,
      0.12492174066537921,
      0.12414123429134238,
      0.1233684169156786,
      0.12260322446507504,
      0.12184558994295835,
      0.12109544441233787,
      0.12035271779307374,
      0.11961733938686864,
      0.11888923818358792,
      0.11816834318527478,
      0.11745458357693883,
      0.1167478889681795,
      0.11604818936241432,
      0.11535541521660056,
      0.1146694976678754,
      0.113990368412684,
      0.11331795974703197,
      0.11265220461501597,
      0.11199303665350033,
      0.11134039007374659,
      0.11069419988240366,
      0.11005440156447951,
      0.10942093135989005,
      0.10879372612886858,
      0.1081727233662144,
      0.10755786116698215,
      0.1069490783024452,
      0.10634631408192395,
      0.10574950850966074,
      0.10515860224679359,
      0.10457353650571888,
      0.10399425301661103,
      0.10342069420562773,
      0.10285280310205695,
      0.10229048257771801,
      0.10173361465648384,
      0.10118210335875576,
      0.10063586558776931,
      0.10009482785241991,
      0.09955892372000033,
      0.09902809206617375,
      0.09850227574623883,
      0.09798142056789863,
      0.09746547471433008,
      0.09695438820179868,
      0.09644811236979504,
      0.0959465997898847,
      0.09544980405172454,
      0.09495767951492781,
      0.09447018127383477,
      0.09398726504861174,
      0.09350887342772848,
      0.09303491135180099,
      0.09256529007539409,
      0.09209993462066703,
      0.09163878031964953,
      0.09118177005181852,
      0.0907288523698271,
      0.09027998013056807,
      0.08983510941012265,
      0.08939419874923488,
      0.08895720859275155,
      0.08852410086373336,
      0.08809483860037715,
      0.08766938581371105,
      0.08724770729154933,
      0.08682976845001582,
      0.08641553528304974,
      0.08600497422481572,
      0.08559805214758949,
      0.08519473632288932,
      0.08479499447988413,
      0.08439879461707549,
      0.08400610502522056,
      0.08361689436207517,
      0.08323113162679728,
      0.08284878606562208,
      0.08246982721218171,
      0.08209422483969253,
      0.08172194906046794,
      0.08135297022944053,
      0.0809872589855282,
      0.08062478620471095,
      0.0802655230783467,
      0.0799094410875519,
      0.07955651189926136,
      0.07920670743473887,
      0.07885999992303476,
      0.0785163618538963,
      0.0781757658586468,
      0.07783818490309531,
      0.07750359218600987,
      0.07717196111487154,
      0.07684326535538995,
      0.07651747886950512,
      0.07619457575084626,
      0.07587453037868729,
      0.07555731735051095,
      0.07524291155522142,
      0.07493128796759049,
      0.07462242193296698,
      0.07431628893157635,
      0.07401286469651587,
      0.0737121250877529,
      0.07341404630066921,
      0.07311860472270929,
      0.0728257768926179,
      0.07253553963841257,
      0.07224786998091749,
      0.0719627450763956,
      0.07168014233141302,
      0.07140003941999783,
      0.07112241411091147,
      0.0708472444040654,
      0.0705745085564292,
      0.07030418489220372,
      0.07003625204023907,
      0.06977068880608576,
      0.06950747416609623,
      0.06924658724601393,
      0.06898800743390365,
      0.06873171426814295,
      0.06847768747232852,
      0.06822590693358668,
      0.06797635273254705,
      0.06772900507535703,
      0.06748384442980004,
      0.06724085143644509,
      0.06700000684607707,
      0.06676129158161898,
      0.06652468681317308
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.787071699222363,
      10.572860381566738,
      10.350886409867456,
      10.123509966503958,
      9.892845145802964,
      9.660777046623126,
      9.428974653012272,
      9.198902113646765,
      8.971833746198431,
      8.748837430344723,
      8.530756381962215,
      8.318201034921383,
      8.11155370468923,
      7.910984325897735,
      7.716474803900427,
      7.527849731403491,
      7.3448072698863625,
      7.166950011994125,
      6.993815064931865,
      6.8249012669858,
      6.659692969573308,
      6.497680248348497,
      6.33837569553816,
      6.181328109378732,
      6.026133457512652,
      5.872443487253016,
      5.719967970534174,
      5.568466101874026,
      5.417764880789826,
      5.26775662331944,
      5.118401919960983,
      4.969735685447181,
      4.8218625211020525,
      4.674941298628284,
      4.529187373331045,
      4.384873389778495,
      4.2423169717462335,
      4.1018674891476765,
      3.963901099649917,
      3.828810929107294,
      3.6969956214246373,
      3.5688445953863943,
      3.44472868618301,
      3.3249907116534176,
      3.209930656843401,
      3.099801552851035,
      2.994806860995846,
      2.8951009174006237,
      2.8007903150600924,
      2.711920077103343,
      2.628470598699776,
      2.550379268702196,
      2.47754748330607,
      2.409840990080678,
      2.3470661855979995,
      2.288973431872581,
      2.2352629722246697,
      2.1855818103474878,
      2.1395371566482453,
      2.096716143680669,
      2.0567180822570927,
      2.0191671208630773,
      1.9836879167851869,
      1.9499628465317902,
      1.9177436357103723,
      1.8868356586995785,
      1.857083111576001,
      1.8283635234913496,
      1.8005768363472454,
      1.7736346161191006,
      1.7474626381711178,
      1.722001065419219,
      1.6972009591983621,
      1.6730215517804652,
      1.6494284377695554,
      1.6263925904940113,
      1.6038884504862825,
      1.5818926014532635,
      1.5603832996455338,
      1.5393406975738917,
      1.5187465647166412,
      1.4985844147925103,
      1.4788395389001967,
      1.4594982908512255,
      1.4405480453865958,
      1.4219761211332198,
      1.4037700256247387,
      1.3859176257512744,
      1.3684073067453195,
      1.351228356297986,
      1.3343704728905743,
      1.3178236073728604,
      1.3015779987756124,
      1.2856241966546074,
      1.2699530738012879,
      1.2545558309066496,
      1.2394239966881477,
      1.224549423416934,
      1.2099242804167578,
      1.1955410445837773,
      1.181392490831653,
      1.1674716811328,
      1.1537719536158626,
      1.1402872274734726,
      1.1270124829440094,
      1.113943186125478,
      1.1010752382744609,
      1.0884047788619204,
      1.0759277975254558,
      1.0636406519700612,
      1.0515397878187573,
      1.0396216782746366,
      1.0278829166914303,
      1.0163199714331739,
      1.004929233511041,
      0.993707074343103,
      0.9826498856126762,
      0.9717541064273051,
      0.9610162413314095,
      0.9504328714911265,
      0.9400006618137539,
      0.9297163650771767,
      0.9195768234757546,
      0.9095789685431575,
      0.8997198204578746,
      0.8899964864110111,
      0.8804061584247116,
      0.8709461113127168,
      0.8616136996399244,
      0.8524063554354098,
      0.8433215856141933,
      0.8343569691806975,
      0.8255101547935378,
      0.816778827526128,
      0.8081607117520841,
      0.7996535495727773,
      0.7912546520878126,
      0.7829612483889999,
      0.7747708466771407,
      0.7666811686236498,
      0.7586901027087752,
      0.7507956700089305,
      0.742995999109944,
      0.7352893074776593,
      0.7276738878298963,
      0.720148098037526,
      0.7127106815213564,
      0.7053609392915419,
      0.6980985787979742,
      0.6909231028817924,
      0.6838337444561522,
      0.6768295561916843,
      0.6699094729358762,
      0.6630723559512198,
      0.6563170239115443,
      0.6496422739564528,
      0.6430468965101588,
      0.6365296857206777,
      0.6300894462177897,
      0.6237249976677608,
      0.6174351781876065,
      0.6112188460251338,
      0.6050748806615992,
      0.59900218337118,
      0.5929996773219317,
      0.5870663080889473,
      0.5812014356387473,
      0.5754049546108742,
      0.5696765702962755,
      0.5640157755174028,
      0.5584219205330042,
      0.5528942620488394,
      0.5474319969872505,
      0.5420342862128417,
      0.53670027132113,
      0.5314290853608407,
      0.5262198608612193,
      0.5210717350153665,
      0.5159838533373848,
      0.5109553719609501,
      0.5059854593798201,
      0.5010732969764204,
      0.49621807961649583,
      0.4914190163142639,
      0.4866753299300903,
      0.48198625720038274,
      0.47735104861839833,
      0.4727689682197798,
      0.4682392933248816,
      0.46376131423979555,
      0.4593343340952074,
      0.4549576684435052,
      0.4506306450974498,
      0.4463526037296713,
      0.44212289556311984,
      0.43794088317972696,
      0.4338059402444077,
      0.4297174513742928,
      0.425674811518243,
      0.42167742601666675,
      0.4177247102745376,
      0.413816089659166,
      0.40995099903766746,
      0.4061288826419139,
      0.402349193930548,
      0.3986113951939687,
      0.39491495769208146,
      0.3912593611293786,
      0.3876440934600188,
      0.38406865089506836,
      0.3805325377576973,
      0.3770352662373065,
      0.3735763560681455,
      0.370155334513983,
      0.3667717362015972,
      0.36342510298172426,
      0.3601149835885028,
      0.35684093365706004,
      0.35360251569272066,
      0.35039929878936016,
      0.3472308584270802,
      0.3440966268481681,
      0.340995952093886,
      0.33792826397528414,
      0.33489305218057813,
      0.33188985009467586,
      0.3289182236966853,
      0.32597776329598244,
      0.32306807794921305,
      0.32018879147056145,
      0.31733953921941555,
      0.31451996626509465,
      0.3117297258533497,
      0.3089684783483568,
      0.3062359788178156,
      0.30353214394555406,
      0.3008568493161238,
      0.29820991131072305,
      0.29559110563343155,
      0.2930001806125617,
      0.29043686640825317,
      0.2879008815726264,
      0.2853919376993217,
      0.2829097426762535,
      0.2804540028206591,
      0.27802442455415927,
      0.2756207155854992,
      0.2732425856442048,
      0.2708897469844194,
      0.26856191452086076,
      0.26625880634869126,
      0.2639801539944304,
      0.261725735556875,
      0.2594953320392693,
      0.257288710820683,
      0.25510563048608675,
      0.2529458444709216,
      0.2508091037002442,
      0.24869515810569448,
      0.24660375780181673,
      0.2445346540281347,
      0.24248758320167543,
      0.24046224614668651,
      0.23845841420216132,
      0.23647592030600606,
      0.23451458071160564,
      0.23257419754468603,
      0.23065456355762756,
      0.2287554658773806,
      0.22687668850624979,
      0.22501801383961484,
      0.2231792241991252,
      0.2213601024452125,
      0.21956043268972128,
      0.21778000070417924,
      0.21601859411421495,
      0.2142760027120631,
      0.2125520184812287,
      0.21084643551172086,
      0.2091590503268376,
      0.2074896619235717,
      0.20583804769217817,
      0.20420396074873717,
      0.2025871686176212,
      0.20098745334697107,
      0.1994046080440216,
      0.19783843427689946,
      0.19628874021829984,
      0.19475533942305137,
      0.1932380496106946,
      0.19173669233988686,
      0.19025109233871998,
      0.18878107713779474,
      0.18732647688993723,
      0.18588712412182806,
      0.18446285345431906,
      0.183053501761597,
      0.18165890790448974,
      0.18027891276224134,
      0.17891335909232098,
      0.17756209153548805,
      0.17622495649935754,
      0.17490180211077413,
      0.17359247840225436,
      0.1722968370715112,
      0.17101473150085666,
      0.16974601679392748,
      0.1684905496524378,
      0.1672481884360363,
      0.16601879315690884,
      0.16480222536547556,
      0.16359834818037056,
      0.16240702630449044,
      0.16122812592486774,
      0.1600615146809767,
      0.15890706177104832,
      0.15776463782173797,
      0.15663411497216745,
      0.15551536681009068,
      0.15440826830643856,
      0.15331269574779902,
      0.15222852683860943,
      0.1511556406869702,
      0.15009391769978697,
      0.14904323959644503,
      0.14800348941408992,
      0.1469745515426341,
      0.14595631158625486,
      0.14494865651509672,
      0.14395147445877982,
      0.14296465475838985,
      0.14198808801598947,
      0.1410216660084213,
      0.14006528166879167,
      0.13911882918601215,
      0.13818220388632602,
      0.13725530220751722,
      0.13633802176603052,
      0.13543026123700047,
      0.13453192051187493,
      0.13364290049720728,
      0.13276310314622786,
      0.13189243148727153,
      0.13103078956721606,
      0.13017808258903824,
      0.1293342072367738,
      0.12849901491750898,
      0.12767234528707283,
      0.12685401235299137,
      0.12604388422603896,
      0.125241915374752,
      0.12444801404817774,
      0.12366207114337946,
      0.12288398639321767,
      0.12211366601996947,
      0.12135102135048269,
      0.12059596752712805,
      0.11984842260827498,
      0.1191083070873636,
      0.11837554343334247,
      0.11765005572160515,
      0.1169317693915551,
      0.11622061104732516,
      0.11551650837750747,
      0.11481939011047224,
      0.11412918576350099,
      0.11344582572589376,
      0.11276924126845272,
      0.11209936435927569,
      0.11143612767286129,
      0.11077946463984521,
      0.11012930941673128,
      0.10948559687118097,
      0.10884826251246793,
      0.10821724255147572,
      0.10759247382971175,
      0.10697389390339551,
      0.10636144089444419,
      0.10575505358562962,
      0.1051546713525107,
      0.10456023423751126,
      0.10397168289922988,
      0.10338895862121131,
      0.10281200719631887,
      0.10224077716210153,
      0.10167521582626364,
      0.10111524249715789,
      0.10056073986254442,
      0.10001160326485674,
      0.09946774340732735,
      0.09892908218696678,
      0.0983955498304787,
      0.09786708278766573,
      0.0973436221704346,
      0.09682511258508952,
      0.09631150129627579,
      0.0958027376873411,
      0.09529877271616878,
      0.09479955870772877,
      0.09430504893570836,
      0.09381519764655286,
      0.09332995977561741,
      0.09284928680689719,
      0.09237309457273454,
      0.09190128777837937,
      0.09143378668305875,
      0.09097052290934893,
      0.0905114365453685,
      0.09005647400531126,
      0.08960558657572877,
      0.08915872913361227,
      0.08871585914547044,
      0.08827693617889687,
      0.08784192147962545,
      0.08741077755494957,
      0.0869834679401963,
      0.08655995691820373,
      0.08614020956619502,
      0.08572419144290942,
      0.08531186870395101,
      0.0849032079585013,
      0.084498176178679,
      0.08409674077568019,
      0.08369886941676649,
      0.08330453018671387,
      0.08291369145182428,
      0.08252632198591038,
      0.08214239070338678,
      0.08176186684128509,
      0.08138472005032209,
      0.08101092016630182,
      0.08064043731293113,
      0.08027324190723903,
      0.07990930457373113,
      0.07954859616431796,
      0.07919108801146665,
      0.0788367515975895,
      0.0784855586262189,
      0.07813748102993995,
      0.07779249110045841,
      0.07745056129208797,
      0.0771116643600921,
      0.07677577325829671,
      0.07644286126964538,
      0.07611290183587556,
      0.07578586867410665,
      0.07546173575124195,
      0.07514047717667852,
      0.07482206728645498,
      0.07450648076309008,
      0.07419369245159581,
      0.07388367749724437,
      0.07357641115687301,
      0.07327186901778578,
      0.07297002685207514,
      0.07267086060526744,
      0.07237434647476693,
      0.07208046084917993,
      0.07178918034071316,
      0.07150048175156103,
      0.07121434215243055,
      0.07093073879344354,
      0.07064964906338127,
      0.07037105066277063,
      0.07009492139304388,
      0.06982123925808356,
      0.06954998254714242,
      0.06928112967412174,
      0.06901465923998526,
      0.06875055014683597,
      0.0684887813821363,
      0.06822933212796843,
      0.06797218174027123,
      0.06771730989775686,
      0.06746469628418403,
      0.06721432084336534,
      0.06696616363741631,
      0.066720204966343,
      0.06647642530411271,
      0.06623480528308923,
      0.06599532576180712,
      0.06575796771226151,
      0.06552271223484243
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.787052396841709,
      10.57279832812861,
      10.350762515538392,
      10.123310365806066,
      9.892560824295394,
      9.660402697759093,
      9.428507953831069,
      9.198342647582253,
      8.971182321741523,
      8.74809562079401,
      8.529926195116609,
      8.31728461421808,
      8.110553076884056,
      7.909901208192272,
      7.715310490782276,
      7.526605038880154,
      7.343482483546812,
      7.165544919449325,
      6.992329028022994,
      6.823333321395893,
      6.658041946901954,
      6.495944913961714,
      6.33655489615447,
      6.17942092516046,
      6.024139355789469,
      5.870362474309447,
      5.717800526459059,
      5.566213304912968,
      5.415428988782144,
      5.265341016680487,
      5.115911097789818,
      4.967175324458813,
      4.819239374011056,
      4.6722630840859285,
      4.526462983652412,
      4.382112781324454,
      4.239531341938037,
      4.099068892567358,
      3.961102050307811,
      3.8260241932959542,
      3.6942339166879763,
      3.566120301739148,
      3.4420541195123198,
      3.32237746988408,
      3.2073890692472857,
      3.097340535527106,
      2.9924340053534455,
      2.892822397879232,
      2.7986108645090515,
      2.709842054532273,
      2.626494774181776,
      2.5485053884329973,
      2.475774401601306,
      2.408166240772735,
      2.34548465317915,
      2.28747822797101,
      2.233845418466563,
      2.184231537781308,
      2.138243674681464,
      2.09546858014161,
      2.0555067368324487,
      2.0179825767619373,
      1.9825214880352011,
      1.9488077948979816,
      1.9165948927706407,
      1.8856893873865819,
      1.8559363906651785,
      1.8272140549576876,
      1.7994226774672608,
      1.772474319979735,
      1.7462951829751638,
      1.7208257441364925,
      1.6960172938548872,
      1.6718292309664236,
      1.648227201111631,
      1.6251821578189862,
      1.602668651654485,
      1.5806633895901714,
      1.5591446921537866,
      1.5380927392120916,
      1.5174893189190517,
      1.4973177126436363,
      1.4775630608037649,
      1.4582115433487397,
      1.4392503044982348,
      1.4206668211337645,
      1.4024487659645097,
      1.3845841315375218,
      1.3670614199612747,
      1.3498700215786807,
      1.3329996776299642,
      1.316440370755005,
      1.3001823637406578,
      1.2842162234760743,
      1.268532835474753,
      1.2531234093299488,
      1.2379794797824175,
      1.2230929032362612,
      1.208455851429948,
      1.1940608030415674,
      1.1799005338437925,
      1.1659681057081248,
      1.1522568599349339,
      1.1387608065753685,
      1.1254749950415006,
      1.112395286756763,
      1.0995178333663744,
      1.0868385550756585,
      1.0743536523847124,
      1.0620595291689785,
      1.0499524573930443,
      1.0380289002896477,
      1.0262852682380543,
      1.0147178737144416,
      1.0033229964976598,
      0.9920969288122174,
      0.981036006129699,
      0.9701366274431625,
      0.9593952685594109,
      0.9488084905668797,
      0.9383729443548111,
      0.928085372560828,
      0.9179426104178221,
      0.9079415847297936,
      0.8980793124381506,
      0.8883528984574988,
      0.8787595333713261,
      0.8692964908136964,
      0.8599611248686713,
      0.8507508670547627,
      0.8416632240866614,
      0.8326957749620545,
      0.8238461685629899,
      0.8151120884189798,
      0.8064912586272917,
      0.797981362654422,
      0.7895796228699222,
      0.7812833113336266,
      0.7730899667299245,
      0.7649973328757436,
      0.757003314341884,
      0.7491059436438956,
      0.7413033576499184,
      0.7335937798786719,
      0.7259755076404918,
      0.718446967325195,
      0.7110071196165884,
      0.7036555481441665,
      0.6963919258899905,
      0.6892155942513161,
      0.6821256724878119,
      0.6751211330052138,
      0.6682008542485489,
      0.6613636579485865,
      0.6546083347254004,
      0.6479336619715887,
      0.6413384163877757,
      0.6348213824870382,
      0.6283813584230461,
      0.6220171592167091,
      0.6157276196367941,
      0.6095115955539945,
      0.6033679647456803,
      0.5972956273897215,
      0.5912935061262267,
      0.5853606473435448,
      0.5794967604914392,
      0.5737016857778534,
      0.5679750031350099,
      0.5623161175171416,
      0.5567243178061921,
      0.5511988179849506,
      0.5457387851114536,
      0.5403433594025313,
      0.5350116676890795,
      0.5297428330124124,
      0.5245359808536211,
      0.5193902436995327,
      0.5143047637079396,
      0.5092786947320864,
      0.5043112036373948,
      0.49940147076515506,
      0.494548690286303,
      0.48975207067785415,
      0.48501083448696614,
      0.4803242183011289,
      0.47569147249347765,
      0.4711118610003572,
      0.46658466120882136,
      0.46210916344708075,
      0.4576846707656273,
      0.4533104987052101,
      0.4489859750271408,
      0.4447104393314711,
      0.44048324289358254,
      0.4363037483141779,
      0.43217132923731866,
      0.4280853701626192,
      0.4240452661494471,
      0.4200504224898278,
      0.41610025450305904,
      0.4121941874022493,
      0.40833165597878296,
      0.40451210441074736,
      0.40073498601802265,
      0.39699976311654855,
      0.3933059067947377,
      0.38965289668896363,
      0.38604022070718286,
      0.3824673750572732,
      0.37893386389402584,
      0.37543919924672214,
      0.3719829007181895,
      0.3685644954649074,
      0.3651835180265311,
      0.36183950992767683,
      0.358532019892417,
      0.35526060352710087,
      0.3520248231079144,
      0.34882424752383795,
      0.3456583850012882,
      0.342526586186635,
      0.3394282441366705,
      0.33636282085860925,
      0.3333298288294584,
      0.33032881761761745,
      0.32735936450330205,
      0.32442106770300255,
      0.32151354176729496,
      0.3186364142442479,
      0.31578932316533753,
      0.3129719155100112,
      0.31018384565134643,
      0.30742478189121786,
      0.3046945628394509,
      0.3019931097112526,
      0.299320269467244,
      0.2966758380039774,
      0.29405957670685473,
      0.29147122357177646,
      0.28891050135471086,
      0.2863771233516054,
      0.28387079742849497,
      0.2813912286728827,
      0.2789381214148549,
      0.2765111807144224,
      0.27411011310480776,
      0.27173462747237165,
      0.2693844353518874,
      0.26705925124872815,
      0.2647587928500661,
      0.2624828181130161,
      0.2602311125298587,
      0.258003446279369,
      0.2557995790506256,
      0.25361926396362616,
      0.2514622505175723,
      0.24932828678121527,
      0.24721712051590708,
      0.24512850038026704,
      0.2430621709649636,
      0.2410178399685991,
      0.2389952614790903,
      0.2369942609429107,
      0.23501465154739484,
      0.23305623217859445,
      0.23111879251050302,
      0.2292021166553481,
      0.2273059855798288,
      0.22543017875446458,
      0.22357447550027862,
      0.221738655885545,
      0.2199225011379272,
      0.218125794133393,
      0.2163483198114937,
      0.21458986516181133,
      0.2128502194949292,
      0.21112917432404954,
      0.2094265235700821,
      0.2077420635687792,
      0.20607557610603014,
      0.20442681236013463,
      0.20279553459616106,
      0.2011815205616048,
      0.19958455958726387,
      0.19800444984899998,
      0.19644099657663255,
      0.19489401047814944,
      0.19336330679303015,
      0.1918487046913287,
      0.1903500265964336,
      0.18886709777247312,
      0.1873997461113191,
      0.18594780192751853,
      0.1845110978752279,
      0.18308946875733564,
      0.18168275140468776,
      0.18029078467581663,
      0.17891340939901162,
      0.17755046824390192,
      0.1762018058656669,
      0.1748672685461823,
      0.1735467044253292,
      0.1722399634195367,
      0.1709468971967667,
      0.16966735900421553,
      0.16840120380591134,
      0.1671482883491742,
      0.16590847096956957,
      0.16468161154066793,
      0.16346757153009348,
      0.1622662139271814,
      0.16107740333417814,
      0.15990100589076905,
      0.15873688934362926,
      0.15758492276458558,
      0.1564449767247178,
      0.15531692321862664,
      0.15420063575236037,
      0.1530959892326131,
      0.15200285999416058,
      0.15092112567907234,
      0.14985066534916724,
      0.14879135937415222,
      0.1477430894130041,
      0.14670573841231888,
      0.14567919064713977,
      0.14466333172759202,
      0.14365804855964612,
      0.14266322925898586,
      0.14167876316425862,
      0.14070454083552256,
      0.13974045400568572,
      0.13878639558692965,
      0.13784225968727593,
      0.13690794157403702,
      0.1359833376985119,
      0.13506834561012904,
      0.13416286392520474,
      0.13326679249019352,
      0.13238003220558653,
      0.13150248498072586,
      0.1306340538766293,
      0.12977464301085612,
      0.12892415102558175,
      0.12808243270699346,
      0.12724934853746214,
      0.12642481608793107,
      0.12560875126929294,
      0.12480106802331586,
      0.12400164175257901,
      0.12321032881462189,
      0.12242700361135704,
      0.121651553859354,
      0.1208838771297221,
      0.12012387842439826,
      0.11937146828983008,
      0.1186265615815422,
      0.11788907641067695,
      0.1171589335225583,
      0.1164360557424579,
      0.11572036759458822,
      0.1150117950738952,
      0.11431026541027062,
      0.11361570690118658,
      0.11292804891359094,
      0.11224722179422546,
      0.11157315659279299,
      0.11090578515657143,
      0.11024504023427567,
      0.10959085532233105,
      0.10894316455215072,
      0.10830190277698629,
      0.10766700554025886,
      0.10703840902103347,
      0.10641605016658291,
      0.10579986651548429,
      0.10518979622695976,
      0.10458577814409808,
      0.1039877547974019,
      0.10339567250480043,
      0.102809476695112,
      0.10222911186589642,
      0.10165452216666925,
      0.1010856515800928,
      0.10052244412114608,
      0.0999648315433686,
      0.09941269930441197,
      0.09886593642695463,
      0.09832444890249423,
      0.09778815536572878,
      0.09725698365781099,
      0.09673086846870277,
      0.09620974972474713,
      0.09569357108550265,
      0.09518227916749737,
      0.09467582282385613,
      0.09417415279526793,
      0.09367722108798975,
      0.09318498091685694,
      0.09269738648105219,
      0.09221439266699896,
      0.09173593137140225,
      0.09126190528881889,
      0.09079222845828828,
      0.09032682795416162,
      0.08986564043637504,
      0.08940860974307228,
      0.0889556850197711,
      0.08850681960100557,
      0.08806196980589681,
      0.08762109416567361,
      0.0871841531492457,
      0.08675110860358935,
      0.08632192351141664,
      0.08589656170839617,
      0.08547498782648855,
      0.08505716713848192,
      0.08464306537947322,
      0.08423264880568998,
      0.08382588406403707,
      0.08342273822907925,
      0.0830231787902743,
      0.08262717346918771,
      0.08223469042262506,
      0.08184569808138605,
      0.08146016515869683,
      0.0810780606820568,
      0.08069935393072251,
      0.08032401453018016,
      0.07995201241089028,
      0.07958331778434417,
      0.07921790105969789,
      0.07885573291684009,
      0.07849678441255337,
      0.07814102672522551,
      0.07778843129475983,
      0.07743896988991333,
      0.07709261451178123,
      0.07674933743812212,
      0.07640911118585857,
      0.0760719085286396,
      0.07573770247408936,
      0.07540646631189672,
      0.07507817350387788,
      0.07475279778147464,
      0.0744303130979487,
      0.0741106937183118,
      0.07379391405893077,
      0.0734799488556397,
      0.0731687730114948,
      0.07286036158852963,
      0.07255468986999801,
      0.07225173344258548,
      0.07195146809199315,
      0.07165386983302574,
      0.0713589149659991,
      0.07106657987014607,
      0.07077684118222118,
      0.0704896757566478,
      0.07020506069329815,
      0.06992297322616259,
      0.06964339085762553,
      0.06936629125190587,
      0.0690916522404813,
      0.06881945196173087,
      0.0685496686740841,
      0.06828228090689274,
      0.06801726733255363,
      0.06775460680740017,
      0.06749427835634983,
      0.06723626123443147,
      0.06698053476328322,
      0.0667270785943714,
      0.06647587247372468,
      0.06622689638597781,
      0.06598013050499142,
      0.06573555511666107,
      0.06549315068535358,
      0.06525289791771256,
      0.06501477774163397,
      0.06477877118437904,
      0.06454485941936831
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.787033206556254,
      10.572736372582773,
      10.350638904177513,
      10.12311138219184,
      9.892277562610628,
      9.660029931203717,
      9.428043411682209,
      9.197785952915257,
      8.970534308128503,
      8.747357879367044,
      8.529100746857651,
      8.316373610833582,
      8.109558549641013,
      7.908824877562981,
      7.714153653680974,
      7.525368513743791,
      7.34216655958991,
      7.164149390816885,
      6.990853265167663,
      6.821776372607448,
      6.6564026591100145,
      6.494222069385338,
      6.334747358887856,
      6.177527792980035,
      6.022160113748436,
      5.868297144136998,
      5.715649602027211,
      5.563977877959617,
      5.413111325517374,
      5.262944502139711,
      5.11344022784015,
      4.964635764212646,
      4.816637854606828,
      4.6696072924667495,
      4.523761769332622,
      4.379376046426864,
      4.236770218115788,
      4.096295356122954,
      3.9583285260125676,
      3.823263348618373,
      3.691498362968363,
      3.5634223073840436,
      3.439405880177061,
      3.319790461998519,
      3.2048735148965095,
      3.0949052509510415,
      2.990086480364952,
      2.8905687157446893,
      2.796455488283276,
      2.7077871179768724,
      2.624541036605761,
      2.5466525936834783,
      2.474021409152574,
      2.4065106000099177,
      2.343921284454369,
      2.285999855318524,
      2.2324433248764564,
      2.1828955441959232,
      2.1369634786722065,
      2.0942334995655596,
      2.0543072371875812,
      2.0168093104850113,
      1.9813659200432232,
      1.9476633253911042,
      1.9154565564485528,
      1.884553423686805,
      1.8547999357599538,
      1.8260748104445135,
      1.7982787130789228,
      1.7713242285990582,
      1.7451379714585447,
      1.7196607258158543,
      1.6948440051863878,
      1.6706473702392008,
      1.6470365146880939,
      1.6239823702057286,
      1.6014595960927576,
      1.5794450212836275,
      1.5579170299904732,
      1.5368558278757816,
      1.5162432213779446,
      1.4960623540888776,
      1.476298109984057,
      1.4569366812082318,
      1.43796483987727,
      1.4193701173347115,
      1.4011403675472562,
      1.3832637216342902,
      1.3657288257757083,
      1.3485251589540654,
      1.331642512100458,
      1.3150709050342564,
      1.2988006279441209,
      1.2828222680742343,
      1.2671267256012668,
      1.2517052210011157,
      1.2365492964478497,
      1.2216508136754145,
      1.207001947974377,
      1.1925951800695969,
      1.1784232866978814,
      1.1644793297779397,
      1.1507566597212926,
      1.13724937519059,
      1.1239529082050783,
      1.1108634698495798,
      1.0979770231571466,
      1.0852896216694543,
      1.072797580821423,
      1.0604970471368418,
      1.048384293849065,
      1.0364556842573334,
      1.0247074582299327,
      1.013135806459683,
      1.0017369222249302,
      0.9905070362456998,
      0.9794424398823994,
      0.9685395008876566,
      0.9577946733172001,
      0.9472045025813058,
      0.9367656283392133,
      0.9264747858478009,
      0.9163288047924905,
      0.906324608336532,
      0.8964592107986051,
      0.8867297154159052,
      0.8771333116133186,
      0.8676672724688476,
      0.8583289515879741,
      0.8491157805298044,
      0.8400252658933611,
      0.8310549866950679,
      0.8222025919055034,
      0.8134657632146779,
      0.8048422249535274,
      0.7963295889693636,
      0.7879250083477977,
      0.7796257958878234,
      0.7714295196051213,
      0.7633339443632162,
      0.7553369900294651,
      0.747436700221324,
      0.739631219698868,
      0.7319187776912356,
      0.7242976756029539,
      0.7167664985258426,
      0.7093245243244904,
      0.7019714741907083,
      0.694706835095468,
      0.6875298184700187,
      0.6804394520197296,
      0.6734346434919776,
      0.666514225970355,
      0.6596769891523856,
      0.6529217011096395,
      0.6462471234977291,
      0.6396520219229612,
      0.6331351731815167,
      0.6266953698319588,
      0.6203314232927659,
      0.6140421657853874,
      0.6078264514156112,
      0.6016831566834603,
      0.595611181140274,
      0.5896094468796402,
      0.5836772981436466,
      0.5778146182298846,
      0.5720210981601186,
      0.5662962145563732,
      0.5606393002790175,
      0.5550495938330254,
      0.5495262737554789,
      0.5440684824976877,
      0.5386753430867808,
      0.5333459704036502,
      0.5280794792554893,
      0.5228749894491446,
      0.5177316293114186,
      0.5126485383316615,
      0.5076248685577733,
      0.5026597854400673,
      0.49775246846025456,
      0.4929021114483024,
      0.488107922438789,
      0.48336912378216396,
      0.47868495187704835,
      0.4740546569840424,
      0.46947750299537316,
      0.46495276716223144,
      0.46047973978144086,
      0.4560577238931896,
      0.45168603509304284,
      0.44736400107783547,
      0.443090961511707,
      0.43886626765306785,
      0.4346892820239048,
      0.43055937822313917,
      0.4264759406822717,
      0.4224383643379206,
      0.4184460544515801,
      0.41449842624592903,
      0.41059490484198663,
      0.40673492509083087,
      0.40291793109727725,
      0.399143376173122,
      0.3954107225088312,
      0.391719440970039,
      0.38806901104557634,
      0.38445892066789106,
      0.38088866593161763,
      0.3773577508125248,
      0.37386568724252783,
      0.3704119947281214,
      0.3669962002245287,
      0.36361783813809717,
      0.36027645005142145,
      0.3569715844760584,
      0.3537027968110531,
      0.3504696493804603,
      0.3472716950455191,
      0.3441083322998956,
      0.34097891268435826,
      0.3378828677400677,
      0.33481968668113665,
      0.3317889009865448,
      0.32879007364521234,
      0.3258227912983284,
      0.32288665872933453,
      0.31998129516051604,
      0.3171063311348527,
      0.31426140690063875,
      0.3114461708945198,
      0.3086602785082863,
      0.3059034429011474,
      0.30317556833301196,
      0.30047654265881707,
      0.29780618943768666,
      0.29516428809634876,
      0.29255058814173807,
      0.2899648191171722,
      0.2874066978280016,
      0.28487593334663974,
      0.282372230197956,
      0.27989529128888496,
      0.27744481934685405,
      0.27502051817026346,
      0.2726220934540396,
      0.2702492533339515,
      0.2679017087915258,
      0.2655791738834216,
      0.26328138100517345,
      0.2610081096157902,
      0.2587591344341783,
      0.2565342171995674,
      0.25433311149561744,
      0.2521555661506504,
      0.25000132767206656,
      0.24787014172404,
      0.24576175451992105,
      0.24367591351060322,
      0.24161233884438496,
      0.23957076869201688,
      0.23755101947035415,
      0.23555290124564876,
      0.23357620985927846,
      0.23162073193256794,
      0.2296862484581513,
      0.2277725374110066,
      0.22587937519885537,
      0.22400653824206532,
      0.22215380358242556,
      0.22032094963021195,
      0.2185077564033407,
      0.2167140059852465,
      0.21493948259225654,
      0.2131839726964005,
      0.21144726519143084,
      0.2097291513481731,
      0.20802942496668567,
      0.20634787233650045,
      0.20468424454669465,
      0.203038297871579,
      0.20140980518017587,
      0.1997985517145964,
      0.19820433221082573,
      0.19662694867630195,
      0.1950662089435477,
      0.19352192548506922,
      0.19199391481598688,
      0.19048199701181628,
      0.18898599509741376,
      0.18750573469959317,
      0.1860410439620114,
      0.18459175339135173,
      0.1831576957103126,
      0.18173870579389334,
      0.18033462047175652,
      0.17894527857823608,
      0.17757052089358225,
      0.176210190027467,
      0.17486413044784205,
      0.17353218851517935,
      0.1722142122681486,
      0.17091005151953217,
      0.16961955777916657,
      0.168342584271245,
      0.16707898594419576,
      0.16582861944748556,
      0.16459134299292136,
      0.1633670163987483,
      0.1621555010879296,
      0.16095665999582567,
      0.15977035769908493,
      0.15859646034590977,
      0.15743483547063006,
      0.1562853520924714,
      0.1551478807488937,
      0.15402229336848694,
      0.15290846337103853,
      0.15180626558761962,
      0.15071557626195778,
      0.14963627306252603,
      0.14856823492756333,
      0.1475113420921572,
      0.1464654762089022,
      0.14543052035209553,
      0.14440635875325958,
      0.14339287695391426,
      0.14238996179090058,
      0.1413975013034351,
      0.14041538478384416,
      0.1394435026864112,
      0.13848174674996502,
      0.13753000990846267,
      0.13658818617386728,
      0.13565617083435658,
      0.13473386027506237,
      0.13382115199371916,
      0.13291794461323386,
      0.1320241379367444,
      0.1311396328536543,
      0.1302643312433956,
      0.1293981361113419,
      0.1285409492045456,
      0.12769270023211812,
      0.1268533461959099,
      0.12602279427988328,
      0.12520091161073643,
      0.12438757591669161,
      0.12358264653137875,
      0.12278595905894185,
      0.12199737002836004,
      0.1212167540121455,
      0.12044399884349671,
      0.11967900223253675,
      0.11892166921575632,
      0.11817191042878913,
      0.117429640750168,
      0.11669477836222526,
      0.11596724405987156,
      0.1152469607026429,
      0.11453385290373529,
      0.11382784665562602,
      0.11312886922132208,
      0.11243684903060731,
      0.11175171544680902,
      0.11107339878529174,
      0.11040183020158689,
      0.10973694169093591,
      0.10907866597619591,
      0.10842693656395268,
      0.10778168761891573,
      0.10714285401249478,
      0.10651037132928055,
      0.1058841758190942,
      0.10526420567998152,
      0.10465040453868524,
      0.1040427161719679,
      0.10344108340299725,
      0.10284544841144592,
      0.10225575301540345,
      0.10167193912997284,
      0.10109394876787191,
      0.10052172423783046,
      0.09995520813372948,
      0.09939434355407921,
      0.0988390712647329,
      0.09828929106881248,
      0.09774488496932478,
      0.09720575403106925,
      0.09667181323130158,
      0.09614298778628742,
      0.09561921047793345,
      0.09510041981112834,
      0.09458655854317329,
      0.09407757262409773,
      0.09357341042916659,
      0.09307402222316574,
      0.09257935984217254,
      0.09208937632392936,
      0.09160402577825538,
      0.09112325577171126,
      0.09064697683202419,
      0.09017509525035593,
      0.08970753230486714,
      0.08924422038645168,
      0.088785100078526,
      0.08833011814652582,
      0.08787922593923676,
      0.08743237834239029,
      0.08698953287950141,
      0.08655064900097438,
      0.08611568779419218,
      0.08568461157900122,
      0.08525738367981803,
      0.08483396825231122,
      0.08441433008788593,
      0.08399843464339911,
      0.08358624774238149,
      0.08317773578042587,
      0.08277286550631051,
      0.0823716040846009,
      0.08197391905784973,
      0.08157977820538609,
      0.08118914975921011,
      0.08080200216038122,
      0.08041830413424328,
      0.08003802472862932,
      0.07966113333408638,
      0.07928759963549764,
      0.07891739355854985,
      0.07855048525512964,
      0.07818684518187886,
      0.07782644411620127,
      0.07746925310367121,
      0.07711524337140303,
      0.0767643864423935,
      0.07641665407623588,
      0.07607201839827729,
      0.07573045166433942,
      0.07539192643312591,
      0.07505641554583073,
      0.07472389193500671,
      0.0743943289266437,
      0.07406770004457129,
      0.07374397909549081,
      0.07342314006098793,
      0.07310515720657701,
      0.07279000501995998,
      0.07247765820751205,
      0.07216809167881537,
      0.07186128061464478,
      0.07155720035151078,
      0.07125582650549787,
      0.07095713487421702,
      0.07066110154653348,
      0.07036770272056804,
      0.07007691486577829,
      0.06978871472679499,
      0.06950307917586376,
      0.06921998529809778,
      0.0689394103880626,
      0.06866133199837637,
      0.0683857278492478,
      0.06811257580866803,
      0.06784185398130219,
      0.067573540686889,
      0.06730761447779084,
      0.06704405410955154,
      0.06678283839787566,
      0.06652394641605466,
      0.06626735745181962,
      0.06601305093933674,
      0.06576100650646236,
      0.0655112039463075,
      0.06526362331035297,
      0.06501824476080263,
      0.06477504869052804,
      0.06453401563086263,
      0.06429512630936254,
      0.06405836156839033,
      0.06382370244306636,
      0.06359113014798459
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.787014151457644,
      10.572674867415135,
      10.350516203175514,
      10.122913872643842,
      9.891996413084687,
      9.659659962377079,
      9.42758237853916,
      9.197233491995146,
      8.969891262256446,
      8.746625841660745,
      8.528281733206972,
      8.315469765240227,
      8.108571896897331,
      7.907757131850378,
      7.713006107409364,
      7.524141983027663,
      7.340861335373593,
      7.162765272775687,
      6.989389632367958,
      6.82023228478209,
      6.65477697788504,
      6.492513594119955,
      6.3329549721443215,
      6.175650611545725,
      6.020197640690107,
      5.866249418804935,
      5.713517135124397,
      5.561761776235346,
      5.410813864559462,
      5.260569070629039,
      5.110991316957979,
      4.962119024260098,
      4.814059993056596,
      4.666975962268971,
      4.52108577394945,
      4.376665229653877,
      4.234035638584363,
      4.093548905709306,
      3.9555825344247144,
      3.8205303782360716,
      3.6887909122917044,
      3.5607525277007928,
      3.4367858412743746,
      3.317231512497851,
      3.202385777300278,
      3.09249744984258,
      2.9877659972369237,
      2.888341536776071,
      2.7943259928420456,
      2.7057573748251897,
      2.622611752328716,
      2.5448234715439892,
      2.4722912791900997,
      2.4048769955093467,
      2.3423791306806883,
      2.2845417779964063,
      2.231060178779112,
      2.181577316967898,
      2.135700037133472,
      2.0930142454789546,
      2.0531227952845006,
      2.0156503321423553,
      1.9802240255830321,
      1.9465320873768903,
      1.914331138993859,
      1.883430164078767,
      1.8536760441027358,
      1.8249480236143185,
      1.7971471332190354,
      1.7701864866926813,
      1.7439931024480435,
      1.7185080629251,
      1.6936830990678335,
      1.6694779297857847,
      1.645858315983608,
      1.6227951548308939,
      1.600263191779469,
      1.5782393789381932,
      1.5567021651524657,
      1.5356317833287174,
      1.5150100591197482,
      1.4948201492037905,
      1.4750466206323156,
      1.4556755823011462,
      1.4366935446098303,
      1.4180879050700448,
      1.3998467195111617,
      1.3819582726589736,
      1.3644113659090205,
      1.3471955755107283,
      1.3303007487564655,
      1.3137169480208932,
      1.297434495333013,
      1.281444001439242,
      1.2657363837491524,
      1.2503028752586687,
      1.2351350270960086,
      1.2202247072216876,
      1.2055640950571862,
      1.1911456740427517,
      1.1769622225877205,
      1.1630068035603274,
      1.1492727886174847,
      1.1357546123830229,
      1.1224481765950898,
      1.1093495525777035,
      1.0964547014699437,
      1.083759883807206,
      1.071261207685422,
      1.0589547392876624,
      1.046836731920111,
      1.03490336372574,
      1.0231507427257835,
      1.0115749659312656,
      1.000172159588875,
      0.9889385068351839,
      0.9778702653005388,
      0.9669637788663844,
      0.95621548436017,
      0.9456219152346648,
      0.9351797028452498,
      0.924885576391493,
      0.9147363614650268,
      0.9047289783619945,
      0.8948604397894306,
      0.8851278474387809,
      0.8755283901525645,
      0.8660593405593652,
      0.8567180518304585,
      0.847501955447129,
      0.8384085579670342,
      0.8294354384897351,
      0.8205802460782126,
      0.8118406612903524,
      0.8032144077122827,
      0.7946989880912687,
      0.7862915388768625,
      0.77798940937479,
      0.7697901938482979,
      0.7616916761032204,
      0.7536917895130179,
      0.7457885876208787,
      0.7379802225142997,
      0.7302649286699598,
      0.7226410163360624,
      0.7151073246103974,
      0.7076634671993608,
      0.700309107167829,
      0.6930435688021844,
      0.6858659487198174,
      0.6787751938138415,
      0.6717701549859947,
      0.6648496251938072,
      0.6580123658439198,
      0.6512571252781388,
      0.644582651268598,
      0.6379876998057611,
      0.6314710408729584,
      0.6250314621739517,
      0.618667771619822,
      0.6123787991743493,
      0.6061633974352575,
      0.6000204419761985,
      0.5939488315084519,
      0.5879475857786216,
      0.5820163937604685,
      0.5761550868697203,
      0.5703632322551663,
      0.564640219862798,
      0.5589853221043607,
      0.5533977352001116,
      0.54787660820613,
      0.5424210630008309,
      0.5370302084024056,
      0.531703149356069,
      0.5264389936157724,
      0.5212368562006132,
      0.5160958623300552,
      0.5110151490550657,
      0.5059938668916789,
      0.5010311802442388,
      0.4961262679204861,
      0.4912783232599816,
      0.4864865539299484,
      0.48175018200183645,
      0.4770684438024566,
      0.472440589516322,
      0.4678658829478059,
      0.4633436012920501,
      0.45887303494153936,
      0.4544534868975717,
      0.45008427265184786,
      0.44576471998008194,
      0.4414941684455933,
      0.4372719692742262,
      0.43309748496672124,
      0.4289700891568951,
      0.4248891661072531,
      0.42085411068080675,
      0.4168643281548064,
      0.41291923372464745,
      0.40901825251213586,
      0.405160819137467,
      0.4013463775935616,
      0.39757438104121723,
      0.3938442915260692,
      0.39015557997392203,
      0.3865077257524871,
      0.38290021666521756,
      0.3793325485886574,
      0.37580422551699705,
      0.3723147591496696,
      0.368863668835836,
      0.3654504814435061,
      0.3620747312562625,
      0.358735959694137,
      0.3554337151384289,
      0.3521675528603333,
      0.3489370349529531,
      0.3457416336850874,
      0.34258068761696187,
      0.33945359177953716,
      0.33635980796949766,
      0.333298846724833,
      0.3302702545355842,
      0.3272736047691788,
      0.3243084915397969,
      0.32137452498615704,
      0.31847132771249037,
      0.31559853278694394,
      0.3127557821839277,
      0.3099427254236647,
      0.30715901873481777,
      0.3044044564033537,
      0.30167895892284685,
      0.2989823847899603,
      0.29631453668216967,
      0.2936751792003527,
      0.29106405121748574,
      0.2884808748395747,
      0.28592536144347097,
      0.2833972162148945,
      0.28089614089717296,
      0.2784218363906366,
      0.2759740038634216,
      0.2735523459942117,
      0.2711565676771107,
      0.2687863764340465,
      0.2664414827136506,
      0.26412160262193113,
      0.26182649606772207,
      0.25955594357879563,
      0.2573097098528984,
      0.2550875494664153,
      0.25288921081772636,
      0.2507144390736768,
      0.24856297814346473,
      0.24643457183977874,
      0.2443289649953542,
      0.2422458925481862,
      0.24018508210669062,
      0.2381463395601324,
      0.23612947169049311,
      0.23413427109139054,
      0.2321605212278539,
      0.23020799991743884,
      0.22827648183092308,
      0.22636574040410964,
      0.2244755490153473,
      0.22260568166188127,
      0.22075591376223916,
      0.21892602247573453,
      0.21711578705052637,
      0.21532498884464213,
      0.21355341159318797,
      0.2118008414518619,
      0.2100670669952887,
      0.20835187929739213,
      0.20665506705901815,
      0.2049763859717412,
      0.2033155856317001,
      0.20167243346028182,
      0.20004671018225864,
      0.1984382066132805,
      0.19684672118235974,
      0.19527205861346428,
      0.19371402875563803,
      0.19217244551939897,
      0.19064712636043385,
      0.1891378919146676,
      0.187644565515713,
      0.1861669730770902,
      0.18470494302004026,
      0.18325830592926734,
      0.18182689453291878,
      0.18041054366340634,
      0.17900909014825203,
      0.17762237278287,
      0.17625023233481663,
      0.17489251129926406,
      0.17354905413050772,
      0.1722197070338098,
      0.17090431797870664,
      0.16960273676886833,
      0.16831481481174043,
      0.1670404053130143,
      0.1657793631522257,
      0.16453154482073284,
      0.16329680846632758,
      0.1620750137774976,
      0.16086602210163814,
      0.15966969635201408,
      0.15848590097692278,
      0.15731450208012646,
      0.15615536710086253,
      0.15500836512829835,
      0.15387336656575307,
      0.15275024330160777,
      0.15163886868784784,
      0.1505391175551131,
      0.1494508660290443,
      0.1483739916688281,
      0.1473083734957549,
      0.14625389172781847,
      0.145210427976289,
      0.14417786512206018,
      0.14315608736816696,
      0.142144980175875,
      0.14114443035117388,
      0.1401543258939265,
      0.1391745560165919,
      0.1382050112559107,
      0.13724558325820166,
      0.1362961648995436,
      0.13535665021243415,
      0.1344269344248089,
      0.13350691392032388,
      0.13259648615172862,
      0.1316955496977732,
      0.13080400427304464,
      0.12992175077358703,
      0.12904871652889915,
      0.12818491850983418,
      0.12733032009425538,
      0.12648482632883165,
      0.1256483196984863,
      0.124820641271762,
      0.12400164352189309,
      0.12319118399386761,
      0.12238908632200986,
      0.1215951881853095,
      0.12080935349704239,
      0.12003146251640723,
      0.11926140720201041,
      0.11849908828283771,
      0.11774441305638807,
      0.11699729377807497,
      0.11625764646377248,
      0.11552539026027883,
      0.11480044649041254,
      0.11408273846968649,
      0.11337219117775311,
      0.1126687309169072,
      0.11197228516019052,
      0.11128278246713894,
      0.11060015234012796,
      0.1099243251731264,
      0.10925523229914237,
      0.10859280572292879,
      0.10793697824444932,
      0.1072876833814046,
      0.10664485540255626,
      0.10600843302693498,
      0.10537835857473755,
      0.10475457324453018,
      0.1041370173478876,
      0.10352563076285257,
      0.10292035323888972,
      0.10232112462514724,
      0.10172788497160087,
      0.1011405747072835,
      0.10055913463518008,
      0.09998350604311336,
      0.09941363070199964,
      0.09884945085269375,
      0.09829090933496967,
      0.09773794948295983,
      0.09719049110002485,
      0.09664841697303904,
      0.09611162166459092,
      0.09558001550655686,
      0.09505352027221167,
      0.0945320663177354,
      0.09401559034833389,
      0.0935040337943296,
      0.09299734170803256,
      0.09249546186532559,
      0.09199834412607423,
      0.09150593999948155,
      0.09101820229230412,
      0.09053508489553165,
      0.0900565170041912,
      0.08958240039938735,
      0.08911264913844796,
      0.08864719013919162,
      0.08818596000316148,
      0.08772890242970842,
      0.08727596646557619,
      0.08682710512501486,
      0.08638227450884539,
      0.08594143306257561,
      0.08550454103443725,
      0.08507155998501173,
      0.084642452613546,
      0.08421718252490587,
      0.08379571408303911,
      0.0833780123560565,
      0.08296404283513127,
      0.08255377151135597,
      0.08214716483031206,
      0.08174418969290813,
      0.08134481323537114,
      0.08094900306164264,
      0.08055672704521281,
      0.08016795336072693,
      0.07978265056462137,
      0.07940078741952557,
      0.07902233305013233,
      0.07864725694785912,
      0.07827552873208012,
      0.07790711837603974,
      0.07754199604931152,
      0.07718013229821608,
      0.07682149789671908,
      0.07646606387335961,
      0.07611380155796937,
      0.07576468246753351,
      0.07541867848221391,
      0.07507576161530113,
      0.07473590423573212,
      0.07439907895782548,
      0.07406525856364866,
      0.07373441614564803,
      0.0734065250118611,
      0.07308155880192437,
      0.07275949128613489,
      0.0724402964640926,
      0.07212394863566095,
      0.07181042232969342,
      0.07149969227848707,
      0.07119173343099518,
      0.07088652102728238,
      0.07058403049282437,
      0.07028423741002765,
      0.06998711763313098,
      0.06969264719135072,
      0.06940080244379926,
      0.06911155985081172,
      0.06882489617526892,
      0.068540788366606,
      0.06825921351585926,
      0.06798014895120544,
      0.0677035722037234,
      0.06742946107591147,
      0.06715779352999218,
      0.06688854771661308,
      0.06662170200443701,
      0.06635723489279488,
      0.06609512513470503,
      0.06583535167973911,
      0.06557789365247187,
      0.06532273035402832,
      0.06506984126739362,
      0.06481920602828084,
      0.06457080451455269,
      0.06432461673920643,
      0.06408062289348322,
      0.06383880341276968,
      0.06359913889409967,
      0.06336161006508657,
      0.06312619781060354,
      0.06289288323196383,
      0.06266164762097078
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786995231952876,
      10.572613813235828,
      10.35039441237837,
      10.122717832708368,
      9.891717363414589,
      9.659292770478817,
      9.427124826188304,
      9.196685232913723,
      8.969253145878753,
      8.745899462045323,
      8.52746910416805,
      8.314573025989775,
      8.107593065476975,
      7.906697916137397,
      7.711867795122677,
      7.522925386526229,
      7.3395667460964225,
      7.1613924952387595,
      6.987938055243871,
      6.81870097962651,
      6.653164821295775,
      6.490819403603597,
      6.331177650087524,
      6.173789294720843,
      6.018251851178189,
      5.864219213411259,
      5.711403040021879,
      5.559564912074407,
      5.408536514932798,
      5.258214627552493,
      5.108564266920651,
      4.959625003467891,
      4.811505684886463,
      4.66436898569477,
      4.518434885490584,
      4.373980213155736,
      4.231327425618212,
      4.090829307218851,
      3.9528637887995974,
      3.8178249471135213,
      3.6861111863090557,
      3.558110605443859,
      3.434193724703748,
      3.3147004159259668,
      3.199925694828185,
      3.0901169876382024,
      2.985472429069887,
      2.8861407526995286,
      2.7922222883147687,
      2.7037527524471656,
      2.6207068666956035,
      2.5430179849062613,
      2.470583991114915,
      2.40326527024005,
      2.3408579142244825,
      2.283103738964842,
      2.229696236538026,
      2.180277539930562,
      2.1344543795938087,
      2.0918121658131663,
      2.0519549004674946,
      2.014507286239089,
      1.979097596296497,
      1.945415965112096,
      1.9132205770762831,
      1.882321546891651,
      1.8525666410472121,
      1.8238356151768804,
      1.7960298546203473,
      1.7690629942047613,
      1.7428624500097265,
      1.7173695981811838,
      1.6925363836864422,
      1.6683226808898939,
      1.644694363233361,
      1.6216222731228793,
      1.5990811906478302,
      1.5770481977016158,
      1.555501811409274,
      1.5344222941276362,
      1.513791492252159,
      1.4935925768036877,
      1.473809920464764,
      1.4544293845749272,
      1.4354374569038941,
      1.4168212608541724,
      1.3985689212148444,
      1.3806688949076094,
      1.363110152980972,
      1.3458823802026945,
      1.328975489056193,
      1.312379590932214,
      1.2960850443533523,
      1.280082487484194,
      1.2643628577404784,
      1.2489174028307914,
      1.233737684654078,
      1.2188155789925572,
      1.2041432703164705,
      1.1897132450233978,
      1.175518283524511,
      1.1615514500042188,
      1.1478063577605861,
      1.1342779841607968,
      1.1209621724121295,
      1.107854902496859,
      1.0949523828654828,
      1.0822507217514041,
      1.0697458478387343,
      1.0574338531321006,
      1.0453108666272202,
      1.0333729205455466,
      1.0216160189629904,
      1.0100361847333714,
      0.9986294913542471,
      0.9873920841047865,
      0.9763201940562507,
      0.9654101459999773,
      0.9546583632078862,
      0.9440613698993836,
      0.9336157909070198,
      0.9233183507751028,
      0.91316587207866,
      0.903155272798092,
      0.8932835641070549,
      0.8835478468767801,
      0.8739453091644898,
      0.8644732231884307,
      0.8551289421201177,
      0.8459098972272711,
      0.8368135952365561,
      0.8278376151754632,
      0.8189796055264318,
      0.8102372454381397,
      0.8016082592957909,
      0.7930900428432824,
      0.7846797161073316,
      0.7763746637906433,
      0.7681725055969119,
      0.7600710438705323,
      0.7520682252861293,
      0.7441621131027284,
      0.736350866342784,
      0.7286327246125556,
      0.7210061218039554,
      0.713470262067727,
      0.7060248803222927,
      0.6986694554764658,
      0.6914031828966966,
      0.684225068424636,
      0.6771339948610334,
      0.6701287679235003,
      0.6632081489119966,
      0.6563708771324626,
      0.649615684999337,
      0.6429413093793391,
      0.6363464986312825,
      0.6298300173042459,
      0.6233906494817041,
      0.6170272005092955,
      0.6107384984660135,
      0.6045233947549576,
      0.5983807639482837,
      0.5923095043688995,
      0.5863089221711238,
      0.5803788864553207,
      0.5745190812516338,
      0.5687289714752587,
      0.5630078755626317,
      0.5573550157189875,
      0.5517695534181816,
      0.5462506133985183,
      0.5407973006355469,
      0.5354087120292816,
      0.5300839443727403,
      0.5248220998019777,
      0.5196222893850507,
      0.5144836356537479,
      0.5094052737844871,
      0.5043863528864183,
      0.4994260365894364,
      0.49452350301380327,
      0.48967794506674567,
      0.4848885702796436,
      0.480154600571086,
      0.4754752720391173,
      0.470849834886167,
      0.4662775528180023,
      0.46175770311255665,
      0.4572895761400371,
      0.4528724747930158,
      0.4485057145649006,
      0.444188623057139,
      0.43992053985768226,
      0.43570081615555056,
      0.43152881432147544,
      0.42740390788745225,
      0.4233254811630767,
      0.4192929289478372,
      0.4153056564154962,
      0.4113630788160278,
      0.4074646209698092,
      0.4036097173935615,
      0.39979781204179726,
      0.39602835799560093,
      0.39230081722535626,
      0.38861466047935417,
      0.38496936704410045,
      0.38136442460609415,
      0.3777993289101235,
      0.3742735837226534,
      0.3707867006690821,
      0.3673381989954946,
      0.36392760551022335,
      0.36055445422203186,
      0.357218286336014,
      0.35391865017576285,
      0.3506551009301473,
      0.3474271721237291,
      0.34423423582956114,
      0.34107564474540547,
      0.3379508293228597,
      0.3348592762656046,
      0.3318005136965407,
      0.32877410050347233,
      0.3257796188588105,
      0.3228166687671761,
      0.31988486444355996,
      0.3169838314153721,
      0.3141132048216169,
      0.3112726278603385,
      0.3084617508755868,
      0.3056802578721583,
      0.30292801463961205,
      0.3002049254238122,
      0.2975108235524266,
      0.2948454938243318,
      0.2922086882119172,
      0.28960013660916845,
      0.2870195546120235,
      0.28446664894496315,
      0.28194112143236216,
      0.27944267155491814,
      0.2769709983895589,
      0.27452580177507335,
      0.27210678356094126,
      0.2697136477728788,
      0.267346101312507,
      0.26500385409952837,
      0.262686640379511,
      0.26039423697710673,
      0.25812641300190825,
      0.2558829252672009,
      0.2536635227176639,
      0.2514679497011222,
      0.24929594854213538,
      0.24714726095649817,
      0.24502162927895615,
      0.24291879586859985,
      0.24083848909407474,
      0.2387805002977268,
      0.23674463305363178,
      0.23473067676656714,
      0.23273841164761244,
      0.23076761227572234,
      0.22881805028057242,
      0.22688949600431021,
      0.2249817196705604,
      0.22309449228139216,
      0.22122758628374756,
      0.2193807759316855,
      0.21755383740987544,
      0.21574654929105613,
      0.2139586925154016,
      0.212190050438669,
      0.210440408936848,
      0.2087095562751138,
      0.20699728332607922,
      0.20530335194549032,
      0.203627505316314,
      0.20196950485282122,
      0.2003291262538895,
      0.19870615608219522,
      0.1971003893235339,
      0.19551162744624298,
      0.19393967722054792,
      0.1923843498484188,
      0.1908454601586117,
      0.18932282633498634,
      0.18781626936248622,
      0.18632561299077324,
      0.18485068334990507,
      0.1833913088402973,
      0.1819473200928375,
      0.1805185499357551,
      0.17910483316425854,
      0.17770600653237528,
      0.1763219087503491,
      0.17495238042422287,
      0.17359726412816487,
      0.1722564042667779,
      0.17092964678970393,
      0.16961683969987557,
      0.16831783266450442,
      0.167032477025593,
      0.16576062593652424,
      0.1645021342111978,
      0.16325685817869995,
      0.162024656006647,
      0.1608053873433183,
      0.15959891346076688,
      0.158405097275456,
      0.15722380322149526,
      0.15605489713517987,
      0.15489824642996997,
      0.15375372009201235,
      0.15262118850902887,
      0.15150052355186405,
      0.1503915985270329,
      0.14929428810851617,
      0.14820846840114252,
      0.147134016906907,
      0.14607081263577879,
      0.14501873568075205,
      0.1439776675725898,
      0.1429474912063477,
      0.1419280907221732,
      0.14091935154861623,
      0.13992116039970856,
      0.13893340540974658,
      0.13795597573236418,
      0.13698876177899283,
      0.13603165519413488,
      0.13508454875254822,
      0.13414733646982774,
      0.13321991359001706,
      0.1323021764250367,
      0.13139402233730682,
      0.1304953499233936,
      0.12960612885168318,
      0.12872638304207334,
      0.12785610190062274,
      0.12699521406444642,
      0.12614359464601652,
      0.12530111280111753,
      0.12446759908062939,
      0.12364288624252782,
      0.12282682820029549,
      0.1220192539469626,
      0.12121998295023796,
      0.12042886401961786,
      0.11964576978470019,
      0.11887058724112567,
      0.11810321333385433,
      0.1173435523653191,
      0.11659151422068803,
      0.11584701295773592,
      0.11510996608084013,
      0.1143802936814702,
      0.11365791793846591,
      0.11294276279796121,
      0.11223475353893879,
      0.11153381673177609,
      0.1108398801889142,
      0.11015287261459782,
      0.10947272367163635,
      0.10879936393687488,
      0.10813272466942499,
      0.10747273870673692,
      0.10681934438217212,
      0.10617248164603894,
      0.10553208927479833,
      0.10489810528093386,
      0.10427046744672006,
      0.10364911348151952,
      0.1030339811852615,
      0.10242500873904811,
      0.10182213459668332,
      0.10122529767577472,
      0.10063443737241223,
      0.100049493673224,
      0.0994704070021655,
      0.09889711846336992,
      0.09832956969216508,
      0.09776770283516835,
      0.09721146070406159,
      0.09666078658830467,
      0.09611561764195455,
      0.09557584880997137,
      0.09504136661870466,
      0.0945120755628618,
      0.09398789328229899,
      0.09346874707023878,
      0.09295457141117758,
      0.09244530617648511,
      0.09194089529881116,
      0.09144128565318853,
      0.09094642649627699,
      0.09045626890223614,
      0.08997076544725395,
      0.0894898636628202,
      0.08901347486701897,
      0.08854150381334808,
      0.08807387063791515,
      0.08761050677675214,
      0.08715135209275139,
      0.0866963527286149,
      0.08624545951212192,
      0.08579862678681484,
      0.08535581160597093,
      0.08491697314076184,
      0.08448207216016823,
      0.08405107068238113,
      0.08362393177763029,
      0.08320061922192398,
      0.08278109753554325,
      0.08236533187153307,
      0.08195328790973427,
      0.08154493185173321,
      0.08114023014389068,
      0.08073914967866953,
      0.08034165769838071,
      0.07994772181510751,
      0.07955730997457228,
      0.07917039043083429,
      0.07878693169350645,
      0.0784069026637002,
      0.07803027251689082,
      0.07765701066954861,
      0.07728708680716648,
      0.07692047097362727,
      0.0765571334076498,
      0.07619704467242469,
      0.07584017563388566,
      0.07548649731292933,
      0.07513598102757839,
      0.07478859837731652,
      0.07444432120623459,
      0.07410312158606426,
      0.07376497189883516,
      0.07342984484428162,
      0.07309771328634557,
      0.07276855028149254,
      0.07244232922863718,
      0.07211902372142914,
      0.07179860763992758,
      0.07148105501725692,
      0.0711663401648439,
      0.07085443766482913,
      0.07054532231281424,
      0.07023896904226018,
      0.06993535311012661,
      0.06963444997542821,
      0.06933623528975436,
      0.06904068494903,
      0.06874777507933315,
      0.06845748198871991,
      0.06816978218644261,
      0.06788465244430285,
      0.06760206978268686,
      0.06732201137162781,
      0.06704445460121015,
      0.06676937701262844,
      0.06649675643999436,
      0.06622657079025114,
      0.06595879827241395,
      0.06569341729030957,
      0.06543040645410579,
      0.06516974452879987,
      0.0649114104756976,
      0.06465538340856573,
      0.06440164270335147,
      0.06415016783502171,
      0.0639009385013757,
      0.06365393464245274,
      0.06340913637200098,
      0.06316652388728537,
      0.06292607759880242,
      0.06268777816841836,
      0.0624516063416524,
      0.06221754307972996,
      0.06198556950091436,
      0.06175566697579429
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.78697653429559,
      10.572553378005605,
      10.350273778834051,
      10.122523587623762,
      9.891440815674885,
      9.658928830950202,
      9.426671297202079,
      9.196141778427116,
      8.968620618582316,
      8.745179453398645,
      8.526663620725818,
      8.31368419749819,
      8.106622900934829,
      7.905648115898302,
      7.7107396404918545,
      7.521719686215076,
      7.338283791726651,
      7.160032095217233,
      6.986499606549932,
      6.81718356751067,
      6.651567339571717,
      6.489140687783945,
      6.329416622113866,
      6.171945111744587,
      6.016324055432006,
      5.862207878588205,
      5.709308708229354,
      5.557388718509119,
      5.406280752699597,
      5.255882691497807,
      5.106160637018906,
      4.957155299546705,
      4.808976562175893,
      4.661788025345495,
      4.515810794524457,
      4.371322712171379,
      4.228647261782489,
      4.088138211375685,
      3.9501739071632738,
      3.8151486388761247,
      3.683460732247953,
      3.5554980699431527,
      3.4316310597728847,
      3.312198695821273,
      3.1974947805839906,
      3.0877653627085984,
      2.98320725347065,
      2.88396781490597,
      2.7901457960807448,
      2.701774639702017,
      2.6188277337288532,
      2.541237451652442,
      2.4689007835509,
      2.4016764319825867,
      2.3393580723641123,
      2.281685469490629,
      2.228350629182784,
      2.1789948502590546,
      2.1332247486908815,
      2.090625241983104,
      2.0508013982860103,
      2.0133779337117406,
      1.977984298568369,
      1.944312574062022,
      1.912122467114966,
      1.881225181417683,
      1.8514693617477602,
      1.822735255054432,
      1.7949245881468472,
      1.7679515066466427,
      1.7417438170767674,
      1.716243183287232,
      1.691401759603159,
      1.6671795723209726,
      1.643542605401825,
      1.6204616448094116,
      1.5979115047973833,
      1.5758693866894649,
      1.554313887496828,
      1.5332252978551995,
      1.5125854838733617,
      1.492377630638897,
      1.472586045222133,
      1.453196234397364,
      1.434194671622609,
      1.415568368979093,
      1.3973052435172681,
      1.3793939327663567,
      1.3618235946535289,
      1.3445840356945604,
      1.3276652438155907,
      1.3110573869526614,
      1.2947508665072773,
      1.2787363524407134,
      1.2630048058714907,
      1.2475474921354621,
      1.2323559858338355,
      1.2174221714693745,
      1.2027382399536986,
      1.188296682173369,
      1.174090281553289,
      1.1601123309526205,
      1.1463568885581232,
      1.132818954562721,
      1.1194942855684813,
      1.1063790871098906,
      1.0934695147371547,
      1.0807614466205968,
      1.0682507956512652,
      1.0559336207516625,
      1.0438058907960595,
      1.0318635243335115,
      1.0201024440788642,
      1.0085186152450663,
      0.9971080703278936,
      0.9858669253242318,
      0.9747913903680226,
      0.9638777755689557,
      0.9531224939491241,
      0.9425220623986105,
      0.932073100649853,
      0.9217723295362723,
      0.9116165691862766,
      0.9016027361234403,
      0.8917278403240955,
      0.8819889821114476,
      0.8723833490179675,
      0.8629082128976177,
      0.8535609269072347,
      0.8443389221268095,
      0.8352397051123143,
      0.8262608551310774,
      0.8174000199813022,
      0.8086548777478174,
      0.8000231361505241,
      0.7915020936715466,
      0.7830888715673469,
      0.7747808869543759,
      0.7665757830739969,
      0.7584713792193302,
      0.7504656344929418,
      0.7425566209479671,
      0.734742503747242,
      0.7270215268045657,
      0.7193923569310595,
      0.7118545661407075,
      0.7044078234361147,
      0.6970514462663884,
      0.6897845162139721,
      0.6826059591996056,
      0.6755146013995917,
      0.6685092089259056,
      0.6615885150997104,
      0.6547512394246073,
      0.6479961008143249,
      0.6413218263920015,
      0.6347271576764626,
      0.6282108544095836,
      0.6217716975193903,
      0.6154084900896883,
      0.6091200584841386,
      0.6029052529216228,
      0.5967629473332993,
      0.5906921230416778,
      0.5846924317398844,
      0.578763704308395,
      0.5729055009529778,
      0.5671172000610062,
      0.5613980595898416,
      0.5557472595310358,
      0.5501639316941305,
      0.5446471803410992,
      0.5391960961575095,
      0.5338097661286946,
      0.5284872801177575,
      0.5232277354956181,
      0.5180302400178325,
      0.5128939136243618,
      0.5078178901119076,
      0.5028013175691501,
      0.49784335877502306,
      0.4929431914628981,
      0.48810000820046123,
      0.48331301619272893,
      0.478581437189017,
      0.4739045072163069,
      0.4692814763695505,
      0.4647116083556012,
      0.46019418032635373,
      0.4557284825953327,
      0.4513138181116918,
      0.4469495022272851,
      0.4426348625785545,
      0.43836923873007394,
      0.43415198173227176,
      0.42998245405194446,
      0.4258600290373834,
      0.4217840908849691,
      0.41775403442166015,
      0.41376926462826974,
      0.4098291965387307,
      0.4059332551102018,
      0.40208087475939114,
      0.3982714992771235,
      0.39450458158762347,
      0.3907795835318237,
      0.3870959757763287,
      0.3834532374163489,
      0.3798508559344203,
      0.3762883270314688,
      0.37276515448456216,
      0.3692808496488295,
      0.36583493162209857,
      0.362426927028912,
      0.3590563698069642,
      0.35572280104661447,
      0.3524257688578336,
      0.3491648282147483,
      0.34593942432632896,
      0.34274888466918185,
      0.3395926030147241,
      0.3364700384652162,
      0.3333806979912031,
      0.3303241239591492,
      0.32729988525648823,
      0.32430757088813916,
      0.32134678574245484,
      0.3184171472897389,
      0.3155182835333191,
      0.31264983112444866,
      0.3098114343729962,
      0.30700274418312834,
      0.3042235009356215,
      0.3014736166138924,
      0.29875296434703946,
      0.29606135561766816,
      0.29339855968538114,
      0.2907643173466745,
      0.2881583506726279,
      0.2855803696766915,
      0.28303007709542455,
      0.28050717170671496,
      0.2780113508346753,
      0.27554231197420465,
      0.2730997538599131,
      0.27068337737795384,
      0.2682928859169836,
      0.2659279858346165,
      0.26358839164400916,
      0.26127386328326224,
      0.2589841760121693,
      0.2567190895339804,
      0.25447835380325706,
      0.2522617129172331,
      0.2500689078844521,
      0.24789967844623867,
      0.24575376449279815,
      0.24363090701531795,
      0.24153084362376265,
      0.2394533531481174,
      0.23739823560573978,
      0.23536527683721284,
      0.23335425357649267,
      0.23136493705380798,
      0.2293970955804779,
      0.22745049629068753,
      0.22552490623814225,
      0.22362009329684931,
      0.22173582685701312,
      0.21987187812793293,
      0.21802802035468682,
      0.216204029165368,
      0.21439968261839373,
      0.21261476128042997,
      0.21084904814493569,
      0.20910232883610275,
      0.2073743914631165,
      0.205665007480082,
      0.20397391872366882,
      0.2023008794328645,
      0.20064565953785962,
      0.1990080407485107,
      0.19738781385544055,
      0.19578477674971342,
      0.19419873311589864,
      0.19262949119556508,
      0.19107686316345376,
      0.1895406646691613,
      0.18802071428780065,
      0.18651683327206814,
      0.18502884552901916,
      0.183556577324495,
      0.1820998571221168,
      0.18065851551756584,
      0.17923238525538593,
      0.17782130111234762,
      0.17642509981201485,
      0.1750436200724511,
      0.17367670234150576,
      0.17232418909724365,
      0.1709859245180398,
      0.16966175473050413,
      0.16835152765587777,
      0.16705509286219122,
      0.16577230165013734,
      0.16450300701070036,
      0.163247063727894,
      0.16200432813710264,
      0.16077465818728875,
      0.15955791349536458,
      0.15835395522771095,
      0.15716264613268807,
      0.15598385062920436,
      0.1548174345251913,
      0.1536632652240398,
      0.15252121160501217,
      0.15139114405499388,
      0.15027293433321678,
      0.14916645563752826,
      0.14807158265618445,
      0.14698819149745043,
      0.14591615963007049,
      0.14485536579633115,
      0.1438056901965406,
      0.14276701431559868,
      0.14173922100841196,
      0.1407221944243634,
      0.1397158199297078,
      0.1387199841549412,
      0.1377345751224888,
      0.13675948201691168,
      0.13579459512409472,
      0.13483980606031867,
      0.13389500760530823,
      0.13296009378086288,
      0.13203495975558394,
      0.1311195164527963,
      0.13021376326119008,
      0.12931771407490308,
      0.12843134663807454,
      0.12755461376049726,
      0.12668742944144204,
      0.12582965136385907,
      0.1249811404292811,
      0.12414172838035528,
      0.12331123117686353,
      0.12248949182822796,
      0.12167635212244741,
      0.12087162658867143,
      0.12007515004877133,
      0.11928678172932303,
      0.11850640158958865,
      0.11773390288078929,
      0.11696918698335171,
      0.11621216146839522,
      0.11546273857706993,
      0.11472083425848384,
      0.11398636724705268,
      0.1132592585385737,
      0.11253943092563232,
      0.11182680883233131,
      0.11112131798958008,
      0.11042288526827174,
      0.10973143865611942,
      0.1090469070799291,
      0.10836922157908269,
      0.10769831921102933,
      0.10703413745595683,
      0.10637661279744602,
      0.10572568113016644,
      0.10508127806953402,
      0.10444333924735628,
      0.10381180045478385,
      0.10318659781106357,
      0.1025676678699245,
      0.10195494763186358,
      0.10134837467290368,
      0.10074788707775476,
      0.10015342348960304,
      0.09956492307284615,
      0.09898232564944634,
      0.09840557164684001,
      0.0978346020734631,
      0.09726935852199142,
      0.09670978318095529,
      0.09615581889953076,
      0.0956074090067148,
      0.09506449739291509,
      0.09452700250198294,
      0.09399480833733585,
      0.0934678118392944,
      0.09294592526620253,
      0.09242907192457642,
      0.09191718344993506,
      0.09141019760300637,
      0.09090805679605164,
      0.09041070685963995,
      0.0899180963189274,
      0.08943017568664195,
      0.08894689711981049,
      0.08846819467554841,
      0.08799397001558898,
      0.08752413445766342,
      0.08705861284913392,
      0.08659734007028094,
      0.08614025856249442,
      0.08568731638207702,
      0.08523846574021277,
      0.08479366208681974,
      0.08435286330262487,
      0.08391602910409124,
      0.08348312068438349,
      0.08305410036655557,
      0.08262893143256987,
      0.08220757797214949,
      0.08179000471562511,
      0.08137617694539322,
      0.08096606036831937,
      0.0805596211359923,
      0.08015682580616164,
      0.07975764134727192,
      0.07936203511564695,
      0.07896997480254159,
      0.0785814283506549,
      0.078196364040038,
      0.07781475051182875,
      0.07743655666601454,
      0.07706175167153012,
      0.07669030499323355,
      0.07632218635969847,
      0.07595736582407285,
      0.07559581360999325,
      0.0752375004130455,
      0.07488239706443538,
      0.07453047463443677,
      0.0741817045270013,
      0.07383605831170396,
      0.07349350796347187,
      0.07315402558526211,
      0.07281758363711537,
      0.07248415471809894,
      0.07215371173987854,
      0.07182622793299163,
      0.071501676682531,
      0.07118003164763785,
      0.07086126658590451,
      0.0705453556811334,
      0.07023227329670242,
      0.06992199401919101,
      0.0696144926582607,
      0.06930974414252608,
      0.06900772379108087,
      0.06870840712223449,
      0.06841176980929693,
      0.06811778779276965,
      0.06782643723770027,
      0.06753769459068909,
      0.0672515363195626,
      0.06696793922598607,
      0.0666868803806663,
      0.06640833699589983,
      0.06613228648666132,
      0.06585870644938889,
      0.06558757471803134,
      0.06531886926188589,
      0.06505256830665451,
      0.06478865031010811,
      0.06452709389093461,
      0.06426787779653922,
      0.06401098104292782,
      0.06375638285516233,
      0.06350406260879944,
      0.0632539998959574,
      0.06300617449990017,
      0.06276056628126159,
      0.06251715537322335,
      0.06227592212949691,
      0.062036846949165905,
      0.06179991044540177,
      0.0615650934523895,
      0.06133237697620379,
      0.06110174219709353,
      0.06087317043443372
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.78695798036858,
      10.572493403014345,
      10.350154063606876,
      10.12233082139298,
      9.89116638191913,
      9.658567690603716,
      9.42622128258704,
      9.195602571468116,
      8.967993081111302,
      8.744465179087868,
      8.525864614292624,
      8.312802583620151,
      8.105660681912305,
      7.904606988052196,
      7.7096208824594,
      7.520524104316197,
      7.337011679511551,
      7.1586832673199625,
      6.9850734695745516,
      6.8156792192587305,
      6.649983688362511,
      6.4874765866564275,
      6.327671011507446,
      6.170117168035556,
      6.014413338954408,
      5.8602144796955615,
      5.707233185185424,
      5.555232220637839,
      5.404045580107895,
      5.253572241503377,
      5.103779383420031,
      4.954708845323313,
      4.806471536605382,
      4.659231973567803,
      4.513212372894386,
      4.368691578804554,
      4.225994089034909,
      4.085474642164325,
      3.9475119890536097,
      3.8125006230172946,
      3.6808387844539068,
      3.5529142240631684,
      3.429097210034084,
      3.309725771070372,
      3.1950925261861456,
      3.085442154124677,
      2.980970130464453,
      2.8818224582890974,
      2.788096320031638,
      2.6998229031255017,
      2.61697427548509,
      2.5394818426148698,
      2.4672416094936476,
      2.400110199481648,
      2.3378789963702293,
      2.2802862105763273,
      2.2270224721672505,
      2.177728260289889,
      2.1320100639143633,
      2.089452313188957,
      2.0496610499068098,
      2.0122610435190897,
      1.9768829655615607,
      1.9432207981753575,
      1.9110357331820578,
      1.8801400371219237,
      1.8503832117648857,
      1.8216459901448174,
      1.7938304130441922,
      1.7668511295441398,
      1.7406363295789977,
      1.7151279600735883,
      1.6902783816815674,
      1.666047770547611,
      1.6424022186963898,
      1.6193124859347183,
      1.5967533799996396,
      1.5747022114747202,
      1.5531376743443397,
      1.5320400872082347,
      1.5113913359226627,
      1.4911746191605706,
      1.47137425316846,
      1.4519754045995428,
      1.4329644010410432,
      1.414328388744539,
      1.3960550434681074,
      1.3781328922260434,
      1.3605513085708665,
      1.343300242654839,
      1.3263697747122085,
      1.3097501426961138,
      1.2934318005612189,
      1.2774054579287368,
      1.261662105319253,
      1.2461930297425992,
      1.2309898220175157,
      1.2160443785062611,
      1.2013488984118292,
      1.1868958785880666,
      1.1726784055325987,
      1.1586900994236793,
      1.1449249676842355,
      1.1313779609214982,
      1.1180450901501962,
      1.1049226157803012,
      1.0920064498464082,
      1.0792923618776245,
      1.0667763013917624,
      1.054454193517841,
      1.0423218825454266,
      1.0303751980886215,
      1.0186099997061397,
      1.0070222073838548,
      0.9956078213954389,
      0.9843629351942568,
      0.9732837425843378,
      0.9623665422933076,
      0.9516077393963526,
      0.9410038449182534,
      0.9305514746287071,
      0.9202473467688889,
      0.9100882795128832,
      0.9000711879984998,
      0.8901930813163444,
      0.8804510591335855,
      0.8708423087954834,
      0.8613641018638502,
      0.8520137912368885,
      0.8427888080613247,
      0.8336866589670738,
      0.8247049231886872,
      0.8158412477110006,
      0.8070933095697406,
      0.7984587641710683,
      0.7899348305848346,
      0.7815186681237611,
      0.7732077211642246,
      0.7649996525311797,
      0.7568922958043224,
      0.748883619966874,
      0.7409717043435979,
      0.7331547196089258,
      0.7254309689250074,
      0.7177995092766848,
      0.7102600933914079,
      0.7028122002399327,
      0.6954550145415429,
      0.688187524105237,
      0.6810085886678348,
      0.6739169879811102,
      0.666911455343778,
      0.6599907009534348,
      0.6531534280540381,
      0.6463983442729013,
      0.6397241688494674,
      0.6331296377191074,
      0.6266135068298131,
      0.6201745542183086,
      0.6138115810374699,
      0.6075234125878093,
      0.6013088981164102,
      0.5951669109164989,
      0.5890966972701003,
      0.5830981088090722,
      0.5771708294316016,
      0.5713143172311218,
      0.5655278794305031,
      0.5598107242494349,
      0.5541619970952653,
      0.548580805545002,
      0.5430662369157595,
      0.5376173701110826,
      0.5322332839734173,
      0.5269130625802235,
      0.5216557992091918,
      0.5164605989386151,
      0.5113265799715125,
      0.5062528748609965,
      0.5012386307039777,
      0.49628300965527833,
      0.4913851890290187,
      0.48654436106722576,
      0.4817597327852806,
      0.47703052594693746,
      0.4723559765103927,
      0.4677353344370808,
      0.4631678634569425,
      0.4586528406658623,
      0.4541895561081936,
      0.44977731270157656,
      0.4454154259970668,
      0.441103223496302,
      0.4368400445680609,
      0.4326252402541598,
      0.428458172863072,
      0.4243382157853705,
      0.42026475307312244,
      0.41623717947117794,
      0.4122548999090893,
      0.408317329319185,
      0.4044238924756137,
      0.4005740236523421,
      0.3967671665068561,
      0.39300277396182015,
      0.3892803077293091,
      0.38559923818928793,
      0.3819590444198832,
      0.378359213769705,
      0.3747992417865903,
      0.37127863196854194,
      0.3677968956426489,
      0.364353551667218,
      0.36094812666976184,
      0.35758015437116,
      0.35424917567547004,
      0.3509547384818777,
      0.3476963613614369,
      0.3444733967222441,
      0.34128519461645346,
      0.33813118182804963,
      0.3350108408561498,
      0.3319236950281473,
      0.32886929801760645,
      0.32584722672521266,
      0.3228570758941168,
      0.31989845437752884,
      0.31697098232010185,
      0.3140742895233654,
      0.31120801376840074,
      0.3083718001079024,
      0.30556530012046534,
      0.30278833627200274,
      0.30004083131268455,
      0.2973226301478901,
      0.2946335241557924,
      0.2919732684100407,
      0.28934159364201945,
      0.28673821456530424,
      0.28416283600522346,
      0.28161515702210227,
      0.27909487365396257,
      0.27660168132040613,
      0.2741352761327338,
      0.27169535571404096,
      0.26928162007944534,
      0.2668937719185729,
      0.2645315170702355,
      0.26219458966104287,
      0.2598827634673082,
      0.2575958028108456,
      0.25533345988418454,
      0.2530954792407323,
      0.2508816010921285,
      0.24869156352617935,
      0.24652510422704246,
      0.244381961563753,
      0.2422618761329886,
      0.24016462351790532,
      0.2380899995050916,
      0.23603778616918514,
      0.23400775658966344,
      0.2319996784948145,
      0.23001331664602995,
      0.22804843482440681,
      0.22610479682900175,
      0.22418216736866733,
      0.22228031259662734,
      0.22039900070954754,
      0.21853800202842025,
      0.21669708919797423,
      0.21487603732710195,
      0.21307462402012664,
      0.21129262950303404,
      0.20952983657754887,
      0.20778603072188545,
      0.2060609913981412,
      0.2043544629830045,
      0.20266619164539337,
      0.20099594093466097,
      0.19934348745157002,
      0.1977086176101066,
      0.19609112548989704,
      0.1944908113510393,
      0.19290748034796326,
      0.19134094185761308,
      0.18979100885923167,
      0.1882574974908763,
      0.18674022665395132,
      0.18523901785500824,
      0.18375369510608544,
      0.18228408469273794,
      0.18083001515219005,
      0.179391317143638,
      0.17796782323577584,
      0.1765593682085416,
      0.17516578868719723,
      0.17378692323994932,
      0.17242261235385406,
      0.171072698429316,
      0.16973702556392142,
      0.16841543974852818,
      0.16710778880174462,
      0.16581392224646563,
      0.1645336912997763,
      0.16326694888684454,
      0.16201354964118014,
      0.16077334981464692,
      0.15954620733244146,
      0.1583319817195604,
      0.1571305341215696,
      0.1559417272539626,
      0.15476542545829608,
      0.153601494547119,
      0.1524498017554597,
      0.15131021590667323,
      0.15018260727798727,
      0.14906684766800538,
      0.1479628102464508,
      0.1468703695992775,
      0.145789401733577,
      0.14471978404281596,
      0.14366139532761787,
      0.14261411568712534,
      0.1415778266250956,
      0.14055241088672926,
      0.13953775251603998,
      0.13853373687299333,
      0.1375402505722647,
      0.13655718155352697,
      0.13558441894631104,
      0.13462185308501998,
      0.13366937554709638,
      0.1327268791511447,
      0.13179429076733226,
      0.13087162922363246,
      0.12995889656736426,
      0.1290560615189854,
      0.12816306979112418,
      0.12727985106100206,
      0.12640631294150137,
      0.1255423071459718,
      0.1246876804486658,
      0.12384227446473323,
      0.12300590017830132,
      0.12217838772144095,
      0.12135958533854474,
      0.12054931504094168,
      0.11974739721516738,
      0.11895367980391695,
      0.11816803098065734,
      0.11739033691092635,
      0.11662049619334998,
      0.11585841410649034,
      0.1151040010479939,
      0.11435717139352465,
      0.11361784254926353,
      0.11288593437190739,
      0.11216136864241052,
      0.11144406882705975,
      0.11073395981270523,
      0.11003096768573961,
      0.1093350210538505,
      0.10864605486658693,
      0.10796400431600704,
      0.10728880354250041,
      0.10662038623743682,
      0.10595868584278528,
      0.10530363597244922,
      0.1046551703505201,
      0.10401322307425948,
      0.10337772866837786,
      0.10274862216001937,
      0.10212583909804637,
      0.10150931563798096,
      0.1008989885528585,
      0.10029479519522976,
      0.09969667352499559,
      0.09910456210138151,
      0.0985184001278548,
      0.0979381274294996,
      0.09736368434993231,
      0.09679501196815003,
      0.09623205192385062,
      0.09567474644179688,
      0.09512303840313337,
      0.09457687117085489,
      0.09403618876694324,
      0.09350093054589528,
      0.09297099508033943,
      0.09244626963803279,
      0.09192665934597238,
      0.09141208239435206,
      0.09090246673098577,
      0.09039774753813339,
      0.08989786518233808,
      0.0894027641832254,
      0.08891239204556094,
      0.08842669862460513,
      0.08794563455314111,
      0.08746911743903987,
      0.0869970473344075,
      0.0865293407282859,
      0.08606592635301144,
      0.0856067420205782,
      0.08515173227677131,
      0.08470084676198672,
      0.08425403887173216,
      0.08381126490883589,
      0.08337248338683174,
      0.0829376545135406,
      0.08250673979586559,
      0.08207970186577646,
      0.08165650428836915,
      0.08123711124639035,
      0.08082148757361492,
      0.0804095986444852,
      0.08000141030409977,
      0.07959688876803284,
      0.07919600064775147,
      0.07879871302181964,
      0.07840499331827665,
      0.07801480927154973,
      0.07762812882935206,
      0.07724492033085399,
      0.07686515242574066,
      0.07648879400691275,
      0.07611581433819528,
      0.07574618296389082,
      0.07537986957837854,
      0.0750168442903292,
      0.07465707743379275,
      0.07430053961870965,
      0.07394720169973533,
      0.07359703492416408,
      0.07325001070278975,
      0.07290610065174424,
      0.07256527669244753,
      0.07222751100633976,
      0.071892776050998,
      0.07156104453916634,
      0.071232289403001,
      0.07090648382889818,
      0.07058360125847363,
      0.0702636153998835,
      0.06994650015450453,
      0.06963222971918243,
      0.06932077841915055,
      0.06901212087881936,
      0.06870623197078177,
      0.06840308673738718,
      0.0681026605228448,
      0.06780492886456124,
      0.06750986743631646,
      0.06721745217955284,
      0.06692765938800685,
      0.06664046551683968,
      0.0663558471293953,
      0.06607378105411063,
      0.0657942443643435,
      0.06551721422248741,
      0.06524266812815939,
      0.06497058378948291,
      0.06470093892491825,
      0.06443371155506958,
      0.06416888008258491,
      0.06390642295674459,
      0.06364631883776657,
      0.06338854653275465,
      0.06313308507230511,
      0.06287991371462917,
      0.06262901188704854,
      0.062380359195097455,
      0.062133935412911026,
      0.061889720538049114,
      0.06164769466582992,
      0.06140783819496396,
      0.06117013160165213,
      0.06093455553845212,
      0.060701090841517036,
      0.06046971854817,
      0.06024041987710143,
      0.06001317619325826
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786939578715781,
      10.572433887340985,
      10.350035258854176,
      10.122139515227776,
      9.890894028236149,
      9.65820929888158,
      9.425774714669108,
      9.195067479132382,
      8.967370340662029,
      8.743756391037826,
      8.525071784994593,
      8.31192783828375,
      8.104706022240213,
      7.903574107602914,
      7.7085110587594325,
      7.519338146034549,
      7.335749883608399,
      7.1573454549746875,
      6.983659058484439,
      6.814187320831092,
      6.648413226808492,
      6.485826433913992,
      6.325940129020056,
      6.168304752149705,
      6.012518968909522,
      5.858238263200526,
      5.705175695862743,
      5.553094688446555,
      5.4018303070657385,
      5.251282621981001,
      5.101419880445635,
      4.952285041656179,
      4.803990031831816,
      4.656700272398508,
      4.510639080742471,
      4.366086289620503,
      4.22336739721585,
      4.082838101130627,
      3.9448775480279847,
      3.8098804257448204,
      3.6782448823306373,
      3.5503585817688355,
      3.4265916353162527,
      3.307281056212186,
      3.1927182930779727,
      3.08314666361833,
      2.9787603114563734,
      2.879703892335587,
      2.7860729002590547,
      2.6978964350041057,
      2.6151452579866046,
      2.537749817702002,
      2.4656051447218883,
      2.398565681392977,
      2.3364205639696993,
      2.2789065833071738,
      2.225713017538517,
      2.176479541785318,
      2.130812505659389,
      2.088295866581661,
      2.0485366459647922,
      2.011159671789672,
      1.9757968240490544,
      1.9421439629695827,
      1.9099637479253928,
      1.8790694949069315,
      1.8493115522330648,
      1.8205711631012749,
      1.792750634306727,
      1.765765116630922,
      1.7395431820600624,
      1.7140270589287763,
      1.6891693127645226,
      1.664930268728342,
      1.6412761268049476,
      1.618177654483456,
      1.59560960851409,
      1.5735494113947652,
      1.5519758560547356,
      1.530869289685126,
      1.5102116185972658,
      1.4899860552272355,
      1.4701769126934583,
      1.4507691709176413,
      1.4317488827393732,
      1.4131032828785,
      1.3948201051946632,
      1.3768875962627416,
      1.3592951365712909,
      1.3420328471331262,
      1.3250909212000024,
      1.3084596825187351,
      1.2921296498684898,
      1.2760915815551805,
      1.2603365050636335,
      1.2448557345711446,
      1.2296408811528803,
      1.214683855821365,
      1.1999769341444162,
      1.1855130001508256,
      1.1712853021889977,
      1.1572873101297294,
      1.143512996123287,
      1.1299575591637494,
      1.1166172006237047,
      1.103487941556367,
      1.090565513970399,
      1.0778457309114966,
      1.0653244963326087,
      1.0529975985141913,
      1.0408607844938784,
      1.0289098146198767,
      1.0171404990112525,
      1.0055487224002158,
      0.994130460103562,
      0.9828817876001009,
      0.9717988860274823,
      0.9608780452407569,
      0.9501156640859736,
      0.9395082490092547,
      0.929052412573226,
      0.918744870959581,
      0.908582440954355,
      0.8985620367073159,
      0.8886806665016113,
      0.8789354294642525,
      0.8693235124491513,
      0.8598421869690394,
      0.850488805996781,
      0.8412608005599135,
      0.832155677267914,
      0.8231710152181492,
      0.8143044607225134,
      0.8055536897974324,
      0.7969163065230094,
      0.7883894525065814,
      0.7799703242676115,
      0.7716563924385808,
      0.7634453390312859,
      0.755335011256387,
      0.7473233880801531,
      0.7394085559420425,
      0.7315886905103318,
      0.7238622559936259,
      0.716228760568407,
      0.7086878871330133,
      0.7012389515221178,
      0.6938810232047457,
      0.6866130087335623,
      0.6794337108033338,
      0.6723418690166384,
      0.6653361883031754,
      0.6584153590499576,
      0.6515780707121787,
      0.6448230210638112,
      0.638148922471009,
      0.6315545060032804,
      0.6250385240891826,
      0.6185997523430123,
      0.612236990396453,
      0.6059490624070241,
      0.5997348168440699,
      0.5935931846103217,
      0.587523763631897,
      0.581526392474092,
      0.5756006293121719,
      0.5697458445876165,
      0.563961284106211,
      0.5582461133234581,
      0.5525994476143438,
      0.5470203736897986,
      0.5415079641643278,
      0.5360612879718016,
      0.5306794169203761,
      0.5253614302190953,
      0.5201064177817384,
      0.514913482400453,
      0.5097817405956419,
      0.5047103238018247,
      0.49969837834582265,
      0.4947450658484662,
      0.48984956318902406,
      0.4850110624681903,
      0.48022877061650715,
      0.4755019091328022,
      0.47082971392959233,
      0.4662114348286784,
      0.4616463354215375,
      0.45713369273562504,
      0.45267279688648304,
      0.44826295066559463,
      0.4439034694466989,
      0.439593680801336,
      0.43533292415570973,
      0.4311205503105675,
      0.4269559214867701,
      0.42283841090560675,
      0.41876740264213325,
      0.41474229129520035,
      0.41076248165154833,
      0.40682738857480194,
      0.402936436737638,
      0.399089060198217,
      0.3952847025073041,
      0.3915228164324248,
      0.3878028635532645,
      0.38412431426260735,
      0.3804866473851747,
      0.37688935007569735,
      0.3733319177936661,
      0.36981385392274124,
      0.36633466964535755,
      0.36289388374234305,
      0.3594910224704882,
      0.3561256193398738,
      0.3527972151484225,
      0.3495053576625473,
      0.3462494736043066,
      0.34302888024817235,
      0.3398429669277422,
      0.3366911879778522,
      0.33357304511459196,
      0.3304880751851384,
      0.3274358415005769,
      0.32441592757603965,
      0.3214279326582078,
      0.3184714686554895,
      0.31554615805338404,
      0.3126516320186249,
      0.30978752944969506,
      0.30695349595268867,
      0.3041492253622856,
      0.30137460206251543,
      0.2986295171848048,
      0.2959137933464923,
      0.2932272061625577,
      0.29056949949925814,
      0.28794039607011157,
      0.2853396047743334,
      0.28276682631936473,
      0.2802217567413691,
      0.27770409009689634,
      0.2752135201318844,
      0.27274974162207954,
      0.27031245133879805,
      0.26790134864423265,
      0.2655161357823472,
      0.26315652466983813,
      0.26082227372957706,
      0.25851315357357973,
      0.2562289194201484,
      0.25396931692687663,
      0.2517340860695603,
      0.24952296365742513,
      0.24733568551152368,
      0.24517198755110983,
      0.24303160683606753,
      0.2409143205877941,
      0.23881992341563482,
      0.23674819307162337,
      0.23469889875458283,
      0.23267180447595562,
      0.2306666715232661,
      0.22868326014459694,
      0.22672133074056783,
      0.22478064478513865,
      0.22286096531304123,
      0.220962057204896,
      0.21908368766579187,
      0.21722562632684878,
      0.21538764527527932,
      0.21356951926807255,
      0.21177102564626,
      0.20999194438269986,
      0.20823205798346786,
      0.2064911509758442,
      0.20476897630362945,
      0.2030652711881934,
      0.20137979219293148,
      0.19971231012965396,
      0.19806260667303646,
      0.1964304718787826,
      0.1948157025197321,
      0.1932181005084247,
      0.1916374723927299,
      0.19007362834473815,
      0.18852638177182052,
      0.18699554925584408,
      0.18548094996775336,
      0.18398240550957476,
      0.1824997399544526,
      0.18103277967789191,
      0.17958135311904894,
      0.17814529086672193,
      0.176724425509215,
      0.17531859180832765,
      0.17392762626928435,
      0.17255136738972035,
      0.17118965558409496,
      0.1698423330626951,
      0.1685092439577254,
      0.16719023416261752,
      0.16588515143121585,
      0.16459384510709144,
      0.16331616642393476,
      0.1620519682836589,
      0.16080110517330357,
      0.1595634333095113,
      0.15833881051459034,
      0.15712709628867302,
      0.15592815168983817,
      0.1547418393462825,
      0.15356802352433668,
      0.15240656988381157,
      0.151257345752888,
      0.15012021979118914,
      0.14899506224256445,
      0.14788174485558425,
      0.14678014072642007,
      0.14569012434970202,
      0.14461157173716133,
      0.14354436024256373,
      0.1424883686010014,
      0.14144347690269965,
      0.14040956648200265,
      0.1393865200906901,
      0.13837422182133172,
      0.13737255692709155,
      0.13638141198252093,
      0.13540067484512155,
      0.13443023469135332,
      0.133469981847208,
      0.13251986440405025,
      0.13157990415485052,
      0.13065009465620256,
      0.1297303980028627,
      0.12882075445382413,
      0.12792108918727915,
      0.1270313170759728,
      0.12615134294556452,
      0.12528102207808245,
      0.1244201890338292,
      0.12356869107354403,
      0.12272634453021429,
      0.12189296613567742,
      0.12106839916589222,
      0.120252482304408,
      0.11944502919660491,
      0.1186458752589801,
      0.11785487930093431,
      0.11707191722990616,
      0.11629687992484462,
      0.11552967008730478,
      0.11477019635743199,
      0.11401837160070989,
      0.11327411191633892,
      0.11253733601413508,
      0.1118079646585603,
      0.1110859204131112,
      0.11037112856739813,
      0.10966352102778876,
      0.10896303052497425,
      0.10826958894192594,
      0.10758312774901231,
      0.10690357817023786,
      0.10623087155179026,
      0.10556493954000908,
      0.10490571409502952,
      0.10425312768357745,
      0.10360711328252038,
      0.10296760444165204,
      0.10233453532307683,
      0.10170784070460716,
      0.10108745602347918,
      0.100473317308056,
      0.09986536123247705,
      0.09926352516747092,
      0.09866774702988082,
      0.0980779653761812,
      0.09749411945356953,
      0.09691614910112897,
      0.09634399479308405,
      0.09577759755702446,
      0.09521689900242909,
      0.09466184144678608,
      0.09411236781516912,
      0.09356842156767908,
      0.09302994671791433,
      0.0924968878533081,
      0.0919691723283996,
      0.0914466871519824,
      0.09092932822942677,
      0.09041700714583552,
      0.08990964700144932,
      0.08940717932875018,
      0.08890954209806688,
      0.08841667789453743,
      0.08792853286991105,
      0.08744505595610604,
      0.0869661895129202,
      0.08649183936984002,
      0.0860219107537581,
      0.0855563240087842,
      0.08509501073125753,
      0.0846379107316165,
      0.08418497010980663,
      0.08373613971110433,
      0.08329137378490231,
      0.08285062922296084,
      0.0824138650143467,
      0.08198104172149324,
      0.0815521211783551,
      0.08112706623821406,
      0.08070584051576134,
      0.08028840836749022,
      0.07987473472854444,
      0.07946478507277399,
      0.07905852526342211,
      0.07865592170111672,
      0.07825694119091411,
      0.07786155075669614,
      0.07746971781270826,
      0.07708141001518705,
      0.07669659547451224,
      0.07631524259367573,
      0.07593732000961838,
      0.07556279666900415,
      0.07519164188621155,
      0.0748238252086027,
      0.07445931646717936,
      0.07409808578698439,
      0.07374010354131458,
      0.07338534038972519,
      0.07303376715465355,
      0.07268535513470653,
      0.07234007579274862,
      0.07199790076958161,
      0.07165880205697128,
      0.0713227519621269,
      0.07098972286036413,
      0.07065968752370905,
      0.0703326189197896,
      0.07000849032649789,
      0.06968727517403779,
      0.0693689471772506,
      0.06905348033856532,
      0.06874084882789822,
      0.06843102712085027,
      0.06812398979472575,
      0.06781971173822623,
      0.06751816808247924,
      0.06721933419667808,
      0.06692318562098755,
      0.0666296981623456,
      0.06633884782578416,
      0.0660506108802074,
      0.06576496375029328,
      0.06548188302334959,
      0.06520134557134802,
      0.06492332850867082,
      0.06464780913486066,
      0.06437476494502291,
      0.06410417355170067,
      0.06383601292857542,
      0.06357026119751188,
      0.06330689666742052,
      0.06304589783254157,
      0.06278724340639265,
      0.06253091220702423,
      0.06227688331649586,
      0.06202513606277017,
      0.061775649872476426,
      0.06152840431173306,
      0.06128337926410535,
      0.06104055468358808,
      0.06079991079022829,
      0.06056142800870257,
      0.060325086876328975,
      0.06009086802756578,
      0.059858752458881094,
      0.05962872122887456,
      0.05940075549575229,
      0.05917483668555288
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786921384673494,
      10.572374973333611,
      10.349917596341674,
      10.121949999490822,
      9.890624191986113,
      9.657854205504888,
      9.425332257311853,
      9.194537285675265,
      8.966753304759061,
      8.743054123749738,
      8.524286296294534,
      8.31106125170514,
      8.103760336661706,
      7.902551014455133,
      7.707411833159621,
      7.518163595171016,
      7.334500308459756,
      7.156020685204999,
      6.982258522152866,
      6.812710144013486,
      6.64685835240145,
      6.484192753750064,
      6.324226624597143,
      6.166510640471032,
      6.010643849186521,
      5.856282259853517,
      5.703139398464019,
      5.550979359346366,
      5.399638252620692,
      5.24901723426098,
      5.099085609612567,
      4.949887446911091,
      4.80153567855739,
      4.654196620932359,
      4.508094677522779,
      4.363510656208723,
      4.220771042956236,
      4.0802324797211735,
      3.9422744964538183,
      3.8072919659661673,
      3.6756829372443347,
      3.5478349806102725,
      3.424118041575712,
      3.3048681219495437,
      3.1903755074903595,
      3.0808821657927488,
      2.9765809185556567,
      2.8776150870654718,
      2.784078240019859,
      2.6959975743052063,
      2.61334268394808,
      2.5360430704372536,
      2.4639928003881937,
      2.397044154864395,
      2.3349840428145963,
      2.2775478492026497,
      2.224423519014528,
      2.1752499086083366,
      2.129633024184197,
      2.0871565542542863,
      2.0474286044484975,
      2.0100740592119566,
      1.9747259853289514,
      1.9410820876326706,
      1.9089064652432106,
      1.8780134642618977,
      1.8482542634398722,
      1.819510603804022,
      1.791685049647124,
      1.7646932465687113,
      1.738464143072175,
      1.7129402448328361,
      1.6880743191509684,
      1.6638268372145848,
      1.6401641055717957,
      1.6170568997975503,
      1.5944799246565695,
      1.572410712619905,
      1.5508281558340689,
      1.529712630026337,
      1.5090460609713892,
      1.4888116753319565,
      1.4689937520082412,
      1.4495772117092407,
      1.4305478657331,
      1.4118928537805255,
      1.3936000319683253,
      1.3756576772081999,
      1.3580549481919308,
      1.3407819036540805,
      1.3238288780140643,
      1.3071863071584768,
      1.2908447948182433,
      1.2747951637293058,
      1.2590284899138275,
      1.2435361241576757,
      1.2283097213831917,
      1.2133414419850563,
      1.1986238808464384,
      1.1841498961692936,
      1.1699126064780325,
      1.15590538459781,
      1.142122420128773,
      1.128559220185464,
      1.1152118363584014,
      1.1020761009560573,
      1.08914771203449,
      1.0764225187805265,
      1.063896284208374,
      1.0515646930885734,
      1.0394234184688242,
      1.0274681675052137,
      1.0156947128901654,
      1.0040989123799058,
      0.9926767221123043,
      0.9814242038983473,
      0.9703375294590085,
      0.959412981621199,
      0.9486469543605743,
      0.9380359508780775,
      0.9275765813841076,
      0.9172655601757561,
      0.907099703011905,
      0.8970759230934033,
      0.887191228123509,
      0.8774427170038129,
      0.8678275763484008,
      0.8583430774022329,
      0.8489865728304014,
      0.8397554937064251,
      0.8306473465701412,
      0.8216597105255181,
      0.8127902310402304,
      0.8040365828795183,
      0.7953963143816372,
      0.7868664991489842,
      0.7784443691714111,
      0.7701274204678243,
      0.7619133533652981,
      0.753800028390731,
      0.7457854339715471,
      0.7378676634411289,
      0.7300448971851847,
      0.7223160044965878,
      0.7146807335482313,
      0.707138572491619,
      0.6996887008840318,
      0.6923300921599593,
      0.6850615852513466,
      0.6778819351768126,
      0.6707898479364558,
      0.6637840051862931,
      0.6568630805248141,
      0.6500257516962477,
      0.6432707082439613,
      0.6365966566295096,
      0.630002323959966,
      0.6234864599092336,
      0.6170478381446272,
      0.6106852570667712,
      0.6043975397958757,
      0.5981835339450879,
      0.5920424034739448,
      0.5859739798528555,
      0.5799779537247914,
      0.5740537812123226,
      0.568200761271559,
      0.5624180897528397,
      0.5567048972596028,
      0.5510602749213404,
      0.5454832926192875,
      0.5399730110731145,
      0.5345284909116456,
      0.5291487980720717,
      0.5238330078910385,
      0.5185802074967782,
      0.5133894976594352,
      0.5082599938036768,
      0.5031908262668181,
      0.4981811408506858,
      0.49323009878064933,
      0.4883368766867031,
      0.48350066643091183,
      0.4787206747328864,
      0.47399612287497667,
      0.46932624661582895,
      0.4647102958826829,
      0.4601475342179396,
      0.45563723854064,
      0.4511786988171484,
      0.4467712178713805,
      0.44241411097975775,
      0.4381067054804379,
      0.4338483405761144,
      0.42963836715266784,
      0.425476147438093,
      0.4213610545261987,
      0.41729247230079214,
      0.4132697952268302,
      0.40929242800921356,
      0.4053597852982004,
      0.401471291619642,
      0.39762638104782344,
      0.39382449697760946,
      0.39006509207204554,
      0.38634762767499575,
      0.38267157395974966,
      0.3790364095936574,
      0.375441621631494,
      0.371886705383899,
      0.3683711640070063,
      0.36489450842335514,
      0.3614562573455982,
      0.35805593687036535,
      0.35469308037871855,
      0.3513672284900755,
      0.34807788909157633,
      0.34482440095845207,
      0.34160610811434966,
      0.3384224313013128,
      0.33527284676402785,
      0.332156871823939,
      0.3290740542092091,
      0.326023964747778,
      0.3230061922388749,
      0.320020339684355,
      0.31706602154805824,
      0.3141428618814612,
      0.3112504930930245,
      0.3083885546952648,
      0.3055566927132739,
      0.30275466755173935,
      0.299982392210274,
      0.2972397288281608,
      0.29452647957924705,
      0.2918424056210573,
      0.2891872403593657,
      0.2865606990999155,
      0.2839624855559595,
      0.2813922965206688,
      0.2788498252949192,
      0.27633476380701344,
      0.27384680439902487,
      0.27138564081645944,
      0.2689509689267275,
      0.2665424874238271,
      0.26415989807656864,
      0.2618029330322582,
      0.25947136279176825,
      0.25716494735233747,
      0.25488343461440627,
      0.2526265648728752,
      0.25039407422921545,
      0.24818569692510895,
      0.24600116669533845,
      0.24384021799769026,
      0.24170262407271223,
      0.23958818303302037,
      0.23749666848924453,
      0.23542784576029713,
      0.23338147518944066,
      0.23135731441977347,
      0.2293551202084228,
      0.2273746495458764,
      0.22541566050371364,
      0.22347791283965926,
      0.22156116835021442,
      0.2196651911118552,
      0.2177897477007413,
      0.2159346072399925,
      0.21409954138848594,
      0.21228432457721405,
      0.21048873385769046,
      0.20871254894763155,
      0.20695555228292511,
      0.20521750969438202,
      0.2034981567787678,
      0.20179724162342103,
      0.20011452831667986,
      0.19844979297929735,
      0.19680282109791541,
      0.1951734054513351,
      0.19356134450697438,
      0.191966441574306,
      0.19038850402497334,
      0.18882734264035686,
      0.187282771376998,
      0.1857546068235068,
      0.1842426683270568,
      0.18274677763160851,
      0.18126675881626542,
      0.17980243822739822,
      0.17835364430309378,
      0.1769202076198556,
      0.1755019606401634,
      0.17409873794922176,
      0.17271037610331688,
      0.171336713509485,
      0.16997759052703965,
      0.16863284926948877,
      0.16730233380612541,
      0.1659858899304267,
      0.16468336522023289,
      0.16339460898859448,
      0.1621194723288199,
      0.16085780809547343,
      0.1596094707948937,
      0.15837431657021547,
      0.15715220316599665,
      0.15594298992939973,
      0.15474653785473444,
      0.1535627095822808,
      0.15239136926871721,
      0.15123238251339596,
      0.15008561647344656,
      0.14895093986945482,
      0.14782822291985484,
      0.14671733722920074,
      0.14561815586562063,
      0.14453055327734882,
      0.14345440544925062,
      0.14238958972090593,
      0.1413359847364115,
      0.140293470474548,
      0.1392619282962981,
      0.1382412408951705,
      0.1372312922901866,
      0.1362319676702509,
      0.13524315362459316,
      0.13426473802125094,
      0.13329668358461697,
      0.1323390141322911,
      0.13139171707802816,
      0.13045474940326307,
      0.12952804709870835,
      0.12861153149659052,
      0.12770511411446825,
      0.12680869993385085,
      0.12592218970536392,
      0.12504544855745225,
      0.12417830537475562,
      0.12332060506829265,
      0.12247217727692349,
      0.12163282983171107,
      0.12080239486136586,
      0.11998072192115157,
      0.11916763359519761,
      0.11836295031660106,
      0.11756651986673522,
      0.1167782099473265,
      0.11599790304585678,
      0.11522549377463219,
      0.11446088816602033,
      0.11370399769276016,
      0.11295473717128814,
      0.1122130242292825,
      0.11147877945110442,
      0.11075193040273862,
      0.11003240718495484,
      0.10932013916102329,
      0.1086150553000264,
      0.10791708445481564,
      0.10722615566451502,
      0.10654219827950898,
      0.10586514211948601,
      0.1051949174353313,
      0.10453145511494846,
      0.10387468655985059,
      0.1032245438311843,
      0.10258095974722994,
      0.10194386769723467,
      0.10131320169273705,
      0.10068889645927259,
      0.1000708873717803,
      0.09945911049406178,
      0.09885350246803934,
      0.09825400060241551,
      0.09766054292556806,
      0.09707306805657237,
      0.09649151528210799,
      0.09591582440662937,
      0.09534593600533423,
      0.09478179116453513,
      0.09422333160590066,
      0.09367049962820416,
      0.09312323821055085,
      0.09258149079990546,
      0.09204520144376331,
      0.09151431482351735,
      0.09098877620085498,
      0.09046849646505764,
      0.08995336131504808,
      0.08944327357613571,
      0.08893815007207811,
      0.08843791785596809,
      0.08794251154957614,
      0.08745187138635371,
      0.0869659418167949,
      0.08648467052460813,
      0.08600798898274631,
      0.08553579682496475,
      0.08506800342466753,
      0.08460453219343853,
      0.08414531699579103,
      0.08369029941260588,
      0.08323942679139476,
      0.08279265081519824,
      0.0823499264125747,
      0.08191121105886247,
      0.0814764640997781,
      0.08104564638780205,
      0.08061872000382568,
      0.0801956480120883,
      0.07977639420943221,
      0.07936092302053392,
      0.07894919949401273,
      0.07854118922139942,
      0.07813685816294337,
      0.07773617268777382,
      0.07733909954569791,
      0.07694560589770465,
      0.0765556592174729,
      0.07616922728653332,
      0.07578627816818029,
      0.0754067802843051,
      0.0750307023917703,
      0.07465801349959274,
      0.07428868289852544,
      0.07392268015342666,
      0.07355997520483172,
      0.07320053818889578,
      0.07284433949980243,
      0.07249134984676668,
      0.07214154017559607,
      0.07179488169589626,
      0.07145134593804703,
      0.07111090464277448,
      0.07077352980429245,
      0.07043919367612825,
      0.07010786885742847,
      0.06977952811356239,
      0.06945414443261312,
      0.06913169106678727,
      0.06881214154947692,
      0.06849546962436572,
      0.06818164934057651,
      0.0678706548564848,
      0.06756246065747401,
      0.06725704141214153,
      0.0669543720298447,
      0.06665442767760436,
      0.06635718373776552,
      0.06606261582353709,
      0.06577069978921479,
      0.0654814117635685,
      0.06519472795190526,
      0.06491062484581751,
      0.06462907914117787,
      0.06435006777479643,
      0.06407356784426929,
      0.06379955664922606,
      0.06352801166341271,
      0.06325891070153553,
      0.0629922316991923,
      0.06272795279886705,
      0.06246605232842594,
      0.0622065088312785,
      0.061949301039898895,
      0.06169440786316612,
      0.06144180836778253,
      0.06119148193528041,
      0.060943408054496016,
      0.06069756642611946,
      0.060453936877235444,
      0.0602124994576569,
      0.05997323433358434,
      0.0597361219393175,
      0.05950114284359708,
      0.05926827783631557,
      0.05903750785031553,
      0.05880881410016179,
      0.058582177770274795,
      0.05835758031395649
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786903344839898,
      10.572316571327082,
      10.349800964119602,
      10.121762142629787,
      9.8903567290465,
      9.65750226314281,
      9.424893770942603,
      9.194011910066804,
      8.966141947655837,
      8.74235840112746,
      8.523508219677408,
      8.310202942656614,
      8.102823789407443,
      7.901537916206905,
      7.706323455997263,
      7.517000743891422,
      7.333263285413681,
      7.154709325813233,
      6.980872265469793,
      6.811248130119968,
      6.645319540926158,
      6.482576054868012,
      6.3225310400108174,
      6.164735407450018,
      6.0087885854369105,
      5.854347105621828,
      5.701124956841422,
      5.548886902312046,
      5.397470089271399,
      5.246776753408171,
      5.096777249163396,
      4.947516742119294,
      4.799109158178706,
      4.651721697692452,
      4.505579836066169,
      4.360965342071426,
      4.218205674093722,
      4.077658405008458,
      3.939703436751407,
      3.8047358166264154,
      3.673153487808095,
      3.5453439201650196,
      3.4216768870198235,
      3.3024873830782573,
      3.188064537985446,
      3.0786489810333446,
      2.974432224600685,
      2.875556268631375,
      2.7821126504708684,
      2.694126699171565,
      2.6115669881986716,
      2.53436208273748,
      2.4624050969464606,
      2.3955461693095694,
      2.333570002235753,
      2.2762105907347596,
      2.2231545659020426,
      2.1740399129959145,
      2.128472239043277,
      2.086035068619218,
      2.04633766861212,
      2.0090049514734174,
      1.9736711588440865,
      1.940035848311057,
      1.9078645305055677,
      1.876972561147981,
      1.847211933616595,
      1.8184648746849168,
      1.7906341966501593,
      1.7636360334855514,
      1.737399704650391,
      1.711867988345989,
      1.6869938504034727,
      1.6627379067838242,
      1.6390665679815946,
      1.6159506798039556,
      1.593364865530234,
      1.5712867043077667,
      1.5496951943817276,
      1.5285707443375678,
      1.5078953044789474,
      1.487652117891561,
      1.4678254309742464,
      1.4484001081384927,
      1.429361897624909,
      1.4106976775421052,
      1.3923953657654993,
      1.3744433512241525,
      1.356830905384026,
      1.3395479820996092,
      1.3225847241283912,
      1.3059315197985766,
      1.28957905131826,
      1.2735182609483024,
      1.2577404024084622,
      1.242237057707372,
      1.2270001190925557,
      1.2120217837004488,
      1.1972945463228732,
      1.1828111907552044,
      1.1685647798763243,
      1.1545488331095646,
      1.1407578858608176,
      1.1271874116925311,
      1.1138333086734282,
      1.1006912954746104,
      1.0877571470654805,
      1.0750266427240103,
      1.0624954320639808,
      1.050159119188134,
      1.038013319311955,
      1.0260536985427116,
      1.014275999939761,
      1.0026760601830742,
      0.9912498205019484,
      0.9799933319436732,
      0.9689027586116535,
      0.9579743781730141,
      0.9472045806065057,
      0.9365898664113819,
      0.9261268437120709,
      0.9158122255220397,
      0.9056428263402807,
      0.8956155586766181,
      0.8857274297928366,
      0.8759755382333856,
      0.8663570704796001,
      0.856869297500019,
      0.8475095718327224,
      0.8382753243079075,
      0.8291640611451107,
      0.8201733612425303,
      0.8113008695590183,
      0.8025442596790547,
      0.7939009857308292,
      0.7853681064458845,
      0.7769428848747374,
      0.7686228395162485,
      0.7604056867804259,
      0.7522892985393695,
      0.7442716715785598,
      0.7363509050473234,
      0.7285252912812673,
      0.7207941781794532,
      0.7131572757889155,
      0.7056139067289524,
      0.6981631338583119,
      0.6908038483182953,
      0.6835348310164241,
      0.6763547959175777,
      0.6692624203337803,
      0.6622563656384924,
      0.6553352913980253,
      0.6484978652587994,
      0.6417427697721069,
      0.6350687065412063,
      0.6284743991858885,
      0.621958594862239,
      0.6155200654935988,
      0.6091576081650263,
      0.6028700451723408,
      0.5966562454008915,
      0.5905157356723648,
      0.5844483701605462,
      0.5784537105624915,
      0.572531122859402,
      0.5666798433878523,
      0.5608990239667585,
      0.555187764340638,
      0.5495451342066824,
      0.5439701885377192,
      0.5384619777802182,
      0.5330195551267449,
      0.5276419816025903,
      0.5223283290628018,
      0.5170776821829659,
      0.511889139961905,
      0.5067618166440795,
      0.5016948418129414,
      0.4966873606775278,
      0.49173853412407775,
      0.4868475384589646,
      0.482013565125993,
      0.47723582085758265,
      0.4725135268640564,
      0.4678459187401873,
      0.4632322461754241,
      0.4586717726982778,
      0.454163775151726,
      0.44970754345909647,
      0.44530238032617403,
      0.440947601007759,
      0.43664253283470716,
      0.4323865149092866,
      0.428178897765379,
      0.42401904335107155,
      0.41990632482632256,
      0.41584012607470194,
      0.411819841337062,
      0.40784487514441314,
      0.4039146420687461,
      0.4000285664445253,
      0.39618608213816614,
      0.39238663249285016,
      0.3886296698646097,
      0.38491465551294257,
      0.38124105946473685,
      0.3776083602253228,
      0.3740160446671655,
      0.37046360786827137,
      0.3669505528498311,
      0.36347639051801817,
      0.3600406392771824,
      0.35664282512761386,
      0.35328248130780027,
      0.3499591480661837,
      0.3466722419910117,
      0.34342107124881466,
      0.3402050175048252,
      0.3370235277698753,
      0.3338760969706616,
      0.33076225536955844,
      0.327681559873022,
      0.32463358767111183,
      0.3216179319566339,
      0.3186341987551317,
      0.31568200470176067,
      0.31276097526156904,
      0.3098707435650377,
      0.30701094976641063,
      0.30418125080253716,
      0.3013814813971962,
      0.29861155444178256,
      0.2958713061365074,
      0.29316052017778904,
      0.2904789445250977,
      0.2878263033424637,
      0.28520230530350865,
      0.28260664933440693,
      0.280039028846802,
      0.27749913461682574,
      0.27498665682965334,
      0.272501286475856,
      0.27004271618156345,
      0.26761064112451866,
      0.265204759352395,
      0.26282477922454844,
      0.26047045630103627,
      0.2581415570469644,
      0.25583783270210897,
      0.25355902489927423,
      0.25130486959610615,
      0.24907509965539573,
      0.24686944683411857,
      0.24468764320168118,
      0.2425294470819566,
      0.24039466998883247,
      0.23828308529676034,
      0.2361944536778673,
      0.2341285312224226,
      0.23208507146043186,
      0.2300638273937504,
      0.22806455245204102,
      0.22608700125441986,
      0.2241309301799103,
      0.22219609764679285,
      0.22028226461172232,
      0.2183891943611711,
      0.21651665291793312,
      0.21466440897059003,
      0.21283223387231082,
      0.21101990188761482,
      0.20922718979744273,
      0.20745387710821056,
      0.2056997394387749,
      0.20396451775064922,
      0.2022479505833303,
      0.20054979451619961,
      0.1988698197137932,
      0.19720780672992727,
      0.1955635440100976,
      0.19393682642592705,
      0.19232745393341152,
      0.1907352308201069,
      0.1891599650937164,
      0.187601467996659,
      0.18605955373424846,
      0.18453403928821682,
      0.1830247440348732,
      0.18153148972653482,
      0.18005410045445205,
      0.17859240247860864,
      0.1771462241275086,
      0.17571539584373894,
      0.17429975015962318,
      0.17289912157712573,
      0.1715133465807839,
      0.17014226349115535,
      0.1687857125526317,
      0.1674435358361865,
      0.16611557730657636,
      0.1648016826726846,
      0.16350169940212786,
      0.16221547680484757,
      0.16094286589951762,
      0.15968371935543638,
      0.1584378915984587,
      0.15720523870599779,
      0.15598561840904573,
      0.1547788899657818,
      0.15358491437704883,
      0.1524035541747143,
      0.1512346733868625,
      0.15007813757758143,
      0.14893381391697397,
      0.1478015709511442,
      0.146681278815491,
      0.1455728090968112,
      0.144476034789395,
      0.14339083039549924,
      0.14231707176994976,
      0.14125463612819542,
      0.1402034020715565,
      0.13916324959173287,
      0.13813406005424958,
      0.13711571605943676,
      0.13610810147913344,
      0.13511110161864023,
      0.1341246872416313,
      0.13314888340389,
      0.1321836736569332,
      0.13122901142284685,
      0.13028482930222998,
      0.12935104569946745,
      0.128427569242473,
      0.12751430217192308,
      0.12661114260463224,
      0.12571798594725947,
      0.12483471155527225,
      0.12396114751794132,
      0.12309712941310626,
      0.12224250097446365,
      0.12139707253388342,
      0.12056066325781457,
      0.11973311786576891,
      0.11891427908770139,
      0.11810396131173823,
      0.11730199874590541,
      0.1165082490632064,
      0.11572258722970016,
      0.11494490100843421,
      0.11417508827448297,
      0.11341305712374711,
      0.1126587213070215,
      0.11191200217379156,
      0.11117282638504208,
      0.11044112016568415,
      0.10971680962399574,
      0.10899982091075576,
      0.10829008054371998,
      0.10758751536433318,
      0.10689205281995054,
      0.10620362092362329,
      0.10552214817142345,
      0.10484756384965425,
      0.10417979789926672,
      0.10351878089736698,
      0.10286444413006822,
      0.10221671961061742,
      0.10157554001738178,
      0.10094083872344077,
      0.10031254977138448,
      0.09969060778061557,
      0.09907494814294542,
      0.09846550689652545,
      0.09786222082503687,
      0.0972650272730725,
      0.09667386430105897,
      0.09608867055607168,
      0.09550938536164773,
      0.09493594861881288,
      0.09436830085575788,
      0.09380638322884921,
      0.09325013749426878,
      0.09269950607712701,
      0.09215443196500496,
      0.09161485863556956,
      0.09108073032920568,
      0.09055199172667357,
      0.09002858802926958,
      0.08951045915340379,
      0.08899750499053265,
      0.08848961649319337,
      0.08798670179270676,
      0.08748868168178613,
      0.0869954862806152,
      0.08650705255982251,
      0.08602332258959353,
      0.08554424232382664,
      0.0850697307065727,
      0.08459968488448065,
      0.08413401748510305,
      0.08367265441694091,
      0.0832155312239516,
      0.08276259082618048,
      0.08231378159741336,
      0.0818690559316229,
      0.08142836931485961,
      0.08099167959974803,
      0.08055894651213023,
      0.08013013115816117,
      0.07970519581387317,
      0.07928410363310583,
      0.07886681850193719,
      0.07845330499787788,
      0.07804352825289543,
      0.07763745391734667,
      0.07723504803362181,
      0.0768362770447008,
      0.07644110773126747,
      0.07604950730587867,
      0.07566144327649689,
      0.0752768834640528,
      0.0748957960623414,
      0.07451814947982341,
      0.0741439125037661,
      0.07377305414104829,
      0.07340554377501793,
      0.07304135104039056,
      0.07268044589334091,
      0.07232279851101787,
      0.07196837931900042,
      0.07161715907401454,
      0.0712691087344591,
      0.07092419953559037,
      0.07058240309741988,
      0.07024369120635017,
      0.06990803595403629,
      0.06957540958446368,
      0.06924578465018653,
      0.06891913388032965,
      0.06859543042792612,
      0.06827464761290371,
      0.06795675899657902,
      0.06764173836491531,
      0.06732955975073751,
      0.06702019738368355,
      0.06671362581278414,
      0.06640981979174691,
      0.0661087542315722,
      0.06581040441161805,
      0.06551474573400705,
      0.06522175382524364,
      0.0649314045909102,
      0.06464367410921994,
      0.06435853870017236,
      0.06407597484621062,
      0.06379595923750406,
      0.06351846884343403,
      0.06324348081975838,
      0.06297097254703744,
      0.0627009216251796,
      0.06243330581183377,
      0.062168103027946266,
      0.06190529158669411,
      0.061644849819596566,
      0.061386756332519846,
      0.06113098987456482,
      0.06087752936030362,
      0.06062635392763323,
      0.06037744295818378,
      0.06013077602253135,
      0.05988633281963712,
      0.059644093250379566,
      0.059404037456995934,
      0.05916614565650615,
      0.05893039832451994,
      0.05869677609361623,
      0.05846525970650497,
      0.05823583012540309,
      0.05800846849280399,
      0.05778315616919536,
      0.057559874692249595
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786885467454344,
      10.572258707556538,
      10.349685415070493,
      10.121576035815686,
      9.890091775829372,
      9.657153656512238,
      9.424459489440995,
      9.193491637079205,
      8.965536607119057,
      8.74166961678549,
      8.522738002332288,
      8.309353410163274,
      8.101896930305776,
      7.900535411538419,
      7.705246573878084,
      7.5158502872446356,
      7.332039558741345,
      7.153412169774066,
      6.979501128465602,
      6.809802166605057,
      6.643797728578659,
      6.480977323566604,
      6.320854411307709,
      6.162980138034408,
      6.006954311098044,
      5.852433981801725,
      5.699133600214671,
      5.5468185949358775,
      5.395327142521026,
      5.244562550525318,
      5.094496210095102,
      4.945174371100852,
      4.796711942431383,
      4.649276997399268,
      4.5030960691573725,
      4.358451871889706,
      4.215672820702459,
      4.075117403258667,
      3.93716588345662,
      3.8022134737098865,
      3.670658004856575,
      3.542886838567312,
      3.419269570144278,
      3.300140192365889,
      3.185786686882753,
      3.076448357750779,
      2.972315420437505,
      2.873528567428978,
      2.7801773256626534,
      2.692285175597931,
      2.6098196828442273,
      2.5327084894158354,
      2.4608437720876495,
      2.3940735470309416,
      2.3321803287443412,
      2.274896739084923,
      2.221908115287889,
      2.172851565812822,
      2.127332215651682,
      2.0849335010492602,
      2.0452659358823917,
      2.0079544598316397,
      1.9726344752470706,
      1.9390073727652921,
      1.9068400528353653,
      1.8759488656391068,
      1.8461866065009809,
      1.8174359786472625,
      1.7896000353354926,
      1.7625953930747555,
      1.736351737363602,
      1.710812115610871,
      1.6859296896054041,
      1.6616652169908461,
      1.6379852106928954,
      1.6148605907321543,
      1.5922658980067892,
      1.5701787510973018,
      1.548578254848549,
      1.5274448513227628,
      1.5067605140562828,
      1.4865085026543265,
      1.466672991608177,
      1.4472388405314291,
      1.4281918297636065,
      1.4095186238256567,
      1.391206983924841,
      1.3732454387977426,
      1.3556233791307348,
      1.3383308106749672,
      1.321357913751319,
      1.3046951011719794,
      1.2883330548758127,
      1.27226274857473,
      1.2564754602353414,
      1.2409627767366493,
      1.2257165928807643,
      1.210729107380501,
      1.195992816096838,
      1.181500502992188,
      1.1672454239216083,
      1.1532214051308318,
      1.1394229725149272,
      1.1258455211070983,
      1.1124848519889927,
      1.09933671585888,
      1.086396917205748,
      1.0736611167947703,
      1.061124879668034,
      1.0487837492916774,
      1.036633297874433,
      1.024669160831013,
      1.0128870586619332,
      1.0012828124043687,
      0.9898523518262947,
      0.9785917200536594,
      0.9674970755105858,
      0.9565646915910688,
      0.9457909551330936,
      0.9351723644059913,
      0.9247055259451544,
      0.9143871514956645,
      0.9042140547989698,
      0.8941831476979327,
      0.884291437018532,
      0.874536020885085,
      0.8649140853118233,
      0.8554229009451494,
      0.8460598199311502,
      0.8368222729325361,
      0.8277077660114456,
      0.818713878010289,
      0.8098382528044864,
      0.8010785628721117,
      0.7924321704829806,
      0.7838961203180242,
      0.7754677054242821,
      0.7671444658651326,
      0.7589241334157206,
      0.7508045911287228,
      0.7427838437219357,
      0.7348599960336766,
      0.727031666103429,
      0.7192985323772154,
      0.7116601068876571,
      0.7041155742053052,
      0.6966638997660725,
      0.6893039062623133,
      0.6820343263505165,
      0.6748538402246146,
      0.6677611010156922,
      0.6607547532136615,
      0.6538334445002881,
      0.6469958340396995,
      0.6402405984034234,
      0.6335664351807638,
      0.6269720651077145,
      0.6204562333902546,
      0.6140177105133687,
      0.6076552923926486,
      0.6013678006145049,
      0.5951542951232607,
      0.5890145819318502,
      0.5829483659502438,
      0.5769551061066998,
      0.5710340962874656,
      0.5651845223434158,
      0.5594055010440695,
      0.5536961075916125,
      0.5480553946092063,
      0.5424824051354027,
      0.5369761814009283,
      0.5315357708187303,
      0.5261602303302798,
      0.5208486288468592,
      0.5156000489929721,
      0.5104135885939802,
      0.5052883607977309,
      0.5002234944873284,
      0.4952181345319458,
      0.4902714412955021,
      0.48538259077752505,
      0.4805507744240729,
      0.4757751985845597,
      0.47105508445649164,
      0.46638966750170474,
      0.46177819740403575,
      0.4572199375528672,
      0.4527141646134316,
      0.4482601683114043,
      0.4438572513065263,
      0.43950472864774376,
      0.435201927497609,
      0.430948186922813,
      0.4267428574218518,
      0.42258530102945624,
      0.41847489057478254,
      0.414411009696246,
      0.41039305246885577,
      0.4064204232554538,
      0.40249253652852807,
      0.39860881651057817,
      0.39476869693832145,
      0.39097162087558424,
      0.3872170405494602,
      0.38350441713428496,
      0.37983322028036004,
      0.37620292840475716,
      0.37261302827056514,
      0.36906301464283375,
      0.3655523903266306,
      0.36208066605343414,
      0.35864736001373776,
      0.35525199797593215,
      0.3518941129751615,
      0.3485732063491662,
      0.34528860990173893,
      0.34203965808907916,
      0.3388257628412495,
      0.3356463924301926,
      0.3325010566333529,
      0.32938929625263913,
      0.32631067547649034,
      0.3232647765992385,
      0.3202511962525118,
      0.31726954286850256,
      0.3143194346541842,
      0.31140049813288956,
      0.30851236721052816,
      0.30565468245813543,
      0.3028271413694008,
      0.3000296381304208,
      0.2972620550432535,
      0.2945242068611931,
      0.2918158620079337,
      0.2891367576704678,
      0.28648661026097705,
      0.28386512280070547,
      0.2812719902326457,
      0.2787069030783007,
      0.2761695499600782,
      0.27365961954701173,
      0.27117680160014196,
      0.26872078797438836,
      0.266291273211816,
      0.26388795470325127,
      0.26151056074371815,
      0.25915885823072327,
      0.2568326034550885,
      0.2545315404725759,
      0.2522554057758873,
      0.2500039313785512,
      0.24777684754441753,
      0.24557388415463577,
      0.24339478502385178,
      0.24123936355897357,
      0.2391074061788218,
      0.2369986683991946,
      0.2349129015007585,
      0.23284985485413393,
      0.2308092774058085,
      0.22879091875021446,
      0.226794529842503,
      0.22481986358420103,
      0.22286667502968277,
      0.22093472169765865,
      0.2190237637091321,
      0.2171335639818122,
      0.2152638880616779,
      0.21341450429100078,
      0.21158518383039066,
      0.20977570053476027,
      0.2079858311411168,
      0.20621535490363216,
      0.2044640251262217,
      0.2027315728781282,
      0.20101774635369965,
      0.19932230900555747,
      0.19764503577810208,
      0.19598571059079856,
      0.19434412427204353,
      0.19272007324198231,
      0.1911133586338289,
      0.1895237855320787,
      0.18795116240139756,
      0.1863953008439971,
      0.18485601529033377,
      0.18333312278721212,
      0.18182644276823703,
      0.18033579703482228,
      0.17886100962940973,
      0.1774019067154745,
      0.1759583166161561,
      0.17453006974472657,
      0.1731169985795081,
      0.1717189375047756,
      0.17033572275906764,
      0.16896719269421748,
      0.16761318749373316,
      0.16627354904934913,
      0.164948121236976,
      0.16363674975982423,
      0.16233928204146972,
      0.1610555672706387,
      0.15978545639402308,
      0.15852880205109118,
      0.1572854584756061,
      0.1560552817140391,
      0.15483812936627392,
      0.15363386070613452,
      0.15244233660396855,
      0.15126341947966285,
      0.15009697333036073,
      0.14894286371257817,
      0.1478009576972915,
      0.14667112381724556,
      0.14555323216529154,
      0.14444715428154473,
      0.14335276308969636,
      0.14226993295879983,
      0.1411985396804556,
      0.14013846045105058,
      0.13908957388379456,
      0.13805175984741153,
      0.13702489960170303,
      0.13600887579759194,
      0.1350036606590061,
      0.13400927952476,
      0.13302571425988238,
      0.1320529163229421,
      0.13109081616890766,
      0.13013932986073842,
      0.1291983636971603,
      0.1282678175428475,
      0.12734758699439386,
      0.1264375650904208,
      0.12553764338144036,
      0.12464770841580838,
      0.12376760067011909,
      0.12289714535694247,
      0.12203618922919984,
      0.1211845578943112,
      0.12034205867692718,
      0.1195085252641236,
      0.11868381145678228,
      0.11786774507521075,
      0.1170601439918445,
      0.11626085404447845,
      0.11546974141538856,
      0.11468668719196976,
      0.11391158353032793,
      0.11314433337804435,
      0.11238485413350868,
      0.11163306805893103,
      0.11088889773225533,
      0.11015226615515253,
      0.10942309690705343,
      0.10870131410372817,
      0.10798684258662539,
      0.1072796078478439,
      0.10657953610347021,
      0.1058865542552059,
      0.1052005899115659,
      0.10452157145625253,
      0.10384942794101881,
      0.10318408918472823,
      0.1025254857159165,
      0.10187354875632805,
      0.10122821037224154,
      0.1005894031581502,
      0.09995706050122134,
      0.09933111647967528,
      0.0987115058083233,
      0.09809816393896428,
      0.09749102695998012,
      0.09689003167646662,
      0.09629511545111671,
      0.09570621637801058,
      0.0951232731219313,
      0.09454622506511248,
      0.09397501218322796,
      0.09340957501231992,
      0.09284985477720704,
      0.09229579330578692,
      0.09174733304139612,
      0.09120441695526134,
      0.09066698867114788,
      0.0901349924076842,
      0.08960837290403846,
      0.08908707543654606,
      0.08857104591987407,
      0.08806021871458378,
      0.08755448563547259,
      0.08705374342515217,
      0.08655790461693465,
      0.08606689323990546,
      0.08558064192358386,
      0.08509908963394695,
      0.08462217678953152,
      0.08414981222387848,
      0.08368189374370655,
      0.0832183362654295,
      0.08275906731681094,
      0.0823040237349059,
      0.08185314932896724,
      0.08140639313952076,
      0.08096370801382187,
      0.08052504985419515,
      0.08009037681812733,
      0.07965964881920506,
      0.07923282720399413,
      0.07880987438628875,
      0.07839075360649836,
      0.07797542892323456,
      0.077563864950359,
      0.07715602683792874,
      0.07675188027428415,
      0.07635139134695253,
      0.07595452655149065,
      0.07556125279226618,
      0.0751715373245126,
      0.07478534765936504,
      0.07440265177846296,
      0.0740234178095562,
      0.07364761420540264,
      0.07327520978376598,
      0.0729061736320616,
      0.07254047516897194,
      0.0721780841086632,
      0.07181897036551105,
      0.0714631041126677,
      0.07111045587308572,
      0.070760996510087,
      0.07041469707639911,
      0.07007152880674278,
      0.06973146325436397,
      0.0693944722092423,
      0.06906052779862572,
      0.06872960238824538,
      0.06840166866924426,
      0.06807669940582077,
      0.06775466771112545,
      0.06743554692687635,
      0.06711931069165951,
      0.06680593284172176,
      0.06649538742376909,
      0.06618764870229892,
      0.06588269129494868,
      0.06558049000069133,
      0.06528101980048387,
      0.06498425594444596,
      0.06469017388118162,
      0.06439874924799754,
      0.06410995796078182,
      0.06382377621255052,
      0.0635401803425878,
      0.06325914686532118,
      0.06298065258888305,
      0.06270467454073592,
      0.06243118990366322,
      0.062160176079674764,
      0.06189161066245415,
      0.06162547144877018,
      0.06136173648879787,
      0.0611003839909689,
      0.06084139242814438,
      0.06058474044405165,
      0.06033040679570466,
      0.0600783704581838,
      0.0598286106477221,
      0.059581106797953254,
      0.059335838460690904,
      0.05909278536944402,
      0.058851927465355926,
      0.05861324489846681,
      0.05837671800447094,
      0.05814232723124205,
      0.057910057764617724,
      0.057679907147997235,
      0.057451870987068054,
      0.05722594074725147,
      0.05700210493212069,
      0.05678034987499927
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.78686775302545,
      10.5722013848694,
      10.349570955799402,
      10.121391689928704,
      9.889829348484145,
      9.656808408688654,
      9.424029446402772,
      9.192976513723483,
      8.96493734533652,
      8.740987847840827,
      8.521975737913479,
      8.308512763637346,
      8.100979885664199,
      7.899543646102264,
      7.704181351112267,
      7.514712406762183,
      7.330829326525315,
      7.152129433093891,
      6.978145345839352,
      6.808372506001352,
      6.642293182783737,
      6.479396841253418,
      6.319197033794963,
      6.161245141423155,
      6.005141349136466,
      5.850543224257681,
      5.697165538788031,
      5.544774533906255,
      5.393209407111424,
      5.2423745278536185,
      5.09224231207743,
      4.942860080821304,
      4.794343712900654,
      4.646862142362941,
      4.500642943387001,
      4.355969761184564,
      4.213171952184021,
      4.072608903973993,
      3.93466123043944,
      3.7997242999225813,
      3.6681958249050757,
      3.5404630905273913,
      3.416895464327855,
      3.2978259431923544,
      3.1835413684920666,
      3.0742797320686748,
      2.970229965405621,
      2.871531466468665,
      2.7782717713929657,
      2.6904725316536395,
      2.608100318619004,
      2.531081864140168,
      2.4593084243271868,
      2.3926259115873285,
      2.3308146701019736,
      2.273605964908517,
      2.220683858839691,
      2.1716846029187713,
      2.126212645294042,
      2.083851590949654,
      2.0442131677330115,
      2.0069223526382722,
      1.971615715008371,
      1.9379964513007335,
      1.9058328304266599,
      1.8749421814280585,
      1.8451780894995222,
      1.8164237250255137,
      1.7885823760217636,
      1.761571136539677,
      1.7353200534353697,
      1.709772439225325,
      1.6848816485061422,
      1.6606085788704856,
      1.6369198446522535,
      1.6137864382522935,
      1.59118285547406,
      1.5690867053132318,
      1.5474772022452559,
      1.5263348229261926,
      1.5056415653631519,
      1.4853807062777447,
      1.4655363499396425,
      1.4460933509900422,
      1.4270375224786582,
      1.4083555230452176,
      1.39003483538667,
      1.3720639623659456,
      1.3544324334650184,
      1.3371303218921808,
      1.3201478576919636,
      1.3034754894670237,
      1.2871039252703804,
      1.271024157673986,
      1.2552274774995547,
      1.239705480942238,
      1.2244500694167018,
      1.2094534456654267,
      1.1947081081311306,
      1.1802070767298456,
      1.1659438350480271,
      1.1519121463542878,
      1.1381065061645348,
      1.124522265062937,
      1.111155198111558,
      1.0980011403843266,
      1.0850558189777293,
      1.072314797884708,
      1.0597735733058573,
      1.0474276390423172,
      1.035272532102355,
      1.023303862420539,
      1.0115173326016706,
      0.9999087507874316,
      0.9884740373432424,
      0.9772092287456509,
      0.9661104783803883,
      0.9551740559901097,
      0.9443963460799673,
      0.9337738450242151,
      0.9233031580393927,
      0.9129809958087771,
      0.9028041712054886,
      0.8927695954867003,
      0.8828742748582261,
      0.8731153070833026,
      0.863489877655939,
      0.8539952568882186,
      0.8446287966649331,
      0.835387927551778,
      0.82627015526103,
      0.8172730582768406,
      0.8083942796899554,
      0.7996314909592633,
      0.7909819649675974,
      0.7824427321186206,
      0.7740111145162839,
      0.7656846732018506,
      0.7574611551826875,
      0.7493384544535826,
      0.7413145835234634,
      0.7333876579364813,
      0.7255568133943358,
      0.7178217928654292,
      0.7101819320050611,
      0.7026362911062484,
      0.695183748192153,
      0.6878230640615238,
      0.6805529280457124,
      0.6733719897243975,
      0.6662788807681767,
      0.6592722301583659,
      0.652350674820476,
      0.6455128668046844,
      0.6387574772972561,
      0.6320832000017736,
      0.6254887529162809,
      0.6189728793335099,
      0.6125343484057425,
      0.6061719551819007,
      0.5998845203528211,
      0.5936714697824005,
      0.5875326552101272,
      0.5814676514134272,
      0.5754758263817915,
      0.5695564104375125,
      0.56370854481571,
      0.5579313155065123,
      0.5522237761333177,
      0.5465849641403949,
      0.541013911847096,
      0.5355096540355583,
      0.5300712330431883,
      0.5246977022437556,
      0.5193881281379216,
      0.5141415918259463,
      0.5089571896424023,
      0.5038340339011614,
      0.4987712529154225,
      0.49376799090866963,
      0.4888234082261892,
      0.4839366806540677,
      0.4791069992479483,
      0.4743335702651704,
      0.4696156147711577,
      0.464952368176024,
      0.460343079982122,
      0.455787013337041,
      0.451283444800159,
      0.4468316640700656,
      0.44243097362333833,
      0.43808068846839504,
      0.43378013560982315,
      0.4295286539091675,
      0.4253255938863872,
      0.42117031720837245,
      0.41706219655148646,
      0.41300061545806455,
      0.40898496803480155,
      0.4050146584941456,
      0.4010891009453654,
      0.39720771941078215,
      0.3933699475083914,
      0.38957522808173,
      0.3858230131328529,
      0.3821127636776712,
      0.3784439492445186,
      0.3748160480588415,
      0.37122854666863275,
      0.36768093972303284,
      0.3641727298533515,
      0.3607034274792566,
      0.3572725507181094,
      0.3538796251183726,
      0.35052418354806597,
      0.34720564050079006,
      0.3439232957151428,
      0.3406765201780868,
      0.33746475158444167,
      0.33428747631468436,
      0.3311442168625834,
      0.32803452275909306,
      0.3249579643880757,
      0.3219141283365617,
      0.318902614288064,
      0.3159230326472266,
      0.31297500287508534,
      0.3100581523763756,
      0.3071721156685012,
      0.30431653353677324,
      0.30149117453859847,
      0.29869595119679904,
      0.295930718448572,
      0.29319527162906195,
      0.29048936546479487,
      0.2878127273074972,
      0.28516506652700974,
      0.28254608128164793,
      0.2799554628952352,
      0.27739289919275123,
      0.27485807692202635,
      0.27235068330872486,
      0.26987040713282506,
      0.2674169393178264,
      0.2649899736077927,
      0.2625892137561913,
      0.260214410987685,
      0.25786532856935807,
      0.25554171426058103,
      0.25324330596119715,
      0.25096983563353176,
      0.2487210322152806,
      0.24649662366126301,
      0.24429633969921483,
      0.24211998229211698,
      0.23996736442627126,
      0.23783823881620736,
      0.23573235134643186,
      0.23364944655647032,
      0.23158926897312454,
      0.2295515641189147,
      0.22753607907372533,
      0.22554256294787664,
      0.22357076724329056,
      0.22162044607864473,
      0.21969135629276676,
      0.21778325742615637,
      0.21589591193757163,
      0.21402908508338953,
      0.21218254499458633,
      0.21035606251877437,
      0.20854941129745924,
      0.20676236783744603,
      0.20499470076831625,
      0.20324614197584412,
      0.201516429660956,
      0.19980531947369348,
      0.1981125801973084,
      0.19643799052305735,
      0.1947813368519782,
      0.19314241184820144,
      0.19152101322976375,
      0.18991694299576123,
      0.18833000679435583,
      0.18676001355664706,
      0.18520677514046613,
      0.18367010611057158,
      0.182149823513653,
      0.18064574673733613,
      0.17915769759185288,
      0.1776855000938234,
      0.17622898048537403,
      0.17478796690338272,
      0.17336228970332673,
      0.17195178115311105,
      0.170556275514479,
      0.16917560909207335,
      0.1678096200848623,
      0.16645814862172542,
      0.16512103659892066,
      0.16379812775196717,
      0.16248926766937288,
      0.1611943036722657,
      0.1599130848708334,
      0.15864546208010918,
      0.15739128797635088,
      0.15615041671206395,
      0.15492270417825982,
      0.15370800790920153,
      0.1525061871007805,
      0.15131710257683073,
      0.15014061668426007,
      0.14897659332647284,
      0.14782489800181958,
      0.1466853977710842,
      0.14555796103237115,
      0.14444245790501706,
      0.14333875979823354,
      0.14224673954391498,
      0.14116627157847092,
      0.140097231621046,
      0.13903949682045846,
      0.1379929456459266,
      0.13695745795386008,
      0.1359330009209508,
      0.13491959942507362,
      0.1339172358988478,
      0.1329258613848205,
      0.1319454052874465,
      0.13097578208345953,
      0.13001689620519474,
      0.12906864538348223,
      0.12813092295258002,
      0.12720361959684554,
      0.12628662462226525,
      0.12537982659864527,
      0.12448311397315391,
      0.1235963438669396,
      0.1227193375804947,
      0.12185193329307022,
      0.12099397480481816,
      0.12014527090620374,
      0.11930564187845834,
      0.11847493313645201,
      0.11765299550576991,
      0.11683964593958478,
      0.11603471508641873,
      0.11523805791779164,
      0.11444954778041233,
      0.11366907647337848,
      0.11289654732410861,
      0.11213186863300278,
      0.11137495492220144,
      0.11062572595111479,
      0.10988410265951913,
      0.10915000691955137,
      0.10842336150696391,
      0.10770409001820183,
      0.10699211683505953,
      0.1062873671621451,
      0.1055897670291154,
      0.10489924316216728,
      0.10421572312551142,
      0.10353913526206475,
      0.10286940861157774,
      0.10220647302847127,
      0.10155025901007313,
      0.10090069786430833,
      0.10025772161307958,
      0.09962126287294694,
      0.09899125510045884,
      0.09836763237618919,
      0.09775032945835158,
      0.09713928187047438,
      0.09653442572489429,
      0.09593569782827047,
      0.09534303563689112,
      0.09475637722710892,
      0.09417566137004381,
      0.09360082739222488,
      0.09303181536291186,
      0.09246856592166704,
      0.09191102036223356,
      0.09135912054716826,
      0.09081280884381426,
      0.09027202841825868,
      0.08973672290228328,
      0.08920683650788096,
      0.08868231406060559,
      0.08816310095923091,
      0.08764914311213856,
      0.0871403870726324,
      0.08663675900121927,
      0.08613814984296152,
      0.08564446079167382,
      0.08515560776632362,
      0.08467151742803287,
      0.08419212438400589,
      0.08371736149898212,
      0.08324712862233592,
      0.08278132544450001,
      0.08231986818782981,
      0.08186268533401003,
      0.08140971449732805,
      0.08096090000152352,
      0.08051619132218386,
      0.08007554166048583,
      0.07963890723766763,
      0.07920624637190073,
      0.0787775192220187,
      0.07835268716901206,
      0.07793171261290635,
      0.0775145590022978,
      0.07710119042588745,
      0.07669157157558346,
      0.07628566774662413,
      0.07588344466533867,
      0.07548486843925047,
      0.07508990561043878,
      0.07469852309296773,
      0.0743106882005858,
      0.07392636847894152,
      0.07354553192992175,
      0.07316814676037202,
      0.07279418150708965,
      0.07242360502005782,
      0.07205638642433115,
      0.07169249514040028,
      0.07133190089291747,
      0.07097457365051386,
      0.07062048370035048,
      0.07026960159328946,
      0.06992189811871538,
      0.06957734436938803,
      0.06923591175965746,
      0.06889757182547099,
      0.06856229648935103,
      0.06823005789408666,
      0.0679008284027803,
      0.06757458066964071,
      0.06725128758773531,
      0.06693092231434926,
      0.06661345825892227,
      0.06629886901460623,
      0.06598712845930936,
      0.06567821066053983,
      0.0653720900354663,
      0.06506874120370375,
      0.06476813895869717,
      0.06447025838279773,
      0.06417507478215441,
      0.06388256368618288,
      0.06359270077136708,
      0.06330546195436916,
      0.06302082336190955,
      0.06273876148283553,
      0.06245925288250605,
      0.06218227440754632,
      0.06190780307975699,
      0.06163581608300617,
      0.061366290890692156,
      0.061099205162159026,
      0.06083453680824221,
      0.06057226391490748,
      0.06031236469297178,
      0.06005481760299565,
      0.059799601312772704,
      0.0595466946493061,
      0.05929607663387044,
      0.059047726556183455,
      0.05880162837289431,
      0.05855777936600163,
      0.05831617487625058,
      0.058076805784842485,
      0.057839659877214636,
      0.05760472274330769,
      0.057371978217608255,
      0.05714140906026649,
      0.05691299720147898,
      0.05668672418634979,
      0.056462571233161674,
      0.05624051934471331,
      0.056020549501346446
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786849994440429,
      10.572144039893427,
      10.34945672625836,
      10.121208001179067,
      9.889568143919762,
      9.656465056431365,
      9.423602046310798,
      9.192464837479287,
      8.964342377362092,
      8.740311250190471,
      8.521219541411908,
      8.307679093775953,
      8.100070732585161,
      7.898560690910917,
      7.703125861123019,
      7.513585184543044,
      7.3296306815489976,
      7.150859219567205,
      6.976803033214631,
      6.806957275342014,
      6.6408040430840805,
      6.477832758694033,
      6.317557069177449,
      6.15952858976092,
      6.003347879401388,
      5.8486730190830265,
      5.695219087858971,
      5.542753150097032,
      5.391115416337699,
      5.2402113109256305,
      5.090014263953623,
      4.940572656078778,
      4.792003323538608,
      4.644476050457153,
      4.498219437592814,
      4.353518046675243,
      4.210702160733032,
      4.070132052216855,
      3.9321886746905914,
      3.7972675425060642,
      3.66576624337497,
      3.538072071301853,
      3.414554058604274,
      3.2955442118551175,
      3.181328241215218,
      3.0721428388837086,
      2.9681756647774247,
      2.8695648366006776,
      2.776395919806254,
      2.6886887555942613,
      2.6064089346351316,
      2.5294822911704244,
      2.4577991737279503,
      2.3912034112887413,
      2.329473198653249,
      2.272338460172099,
      2.2194820043621526,
      2.1705392431186157,
      2.125113914052452,
      2.0827898522055572,
      2.043179919110495,
      2.0059091303757524,
      1.9706153144289236,
      1.9370034682029844,
      1.9048432052972222,
      1.873952816254691,
      1.8441866621343896,
      1.8154283697992106,
      1.7875814543485802,
      1.7605634807495079,
      1.7343048522681102,
      1.7087491425648593,
      1.6838498960764356,
      1.6595681479753508,
      1.6358706120874338,
      1.6127283524986415,
      1.590115845827607,
      1.568010639582387,
      1.5463920674206695,
      1.5252406580910691,
      1.5045384328664966,
      1.4842686542350425,
      1.464415368694754,
      1.4449634565333538,
      1.4258987586986331,
      1.4072079535770876,
      1.388878460006251,
      1.3708985114541552,
      1.3532576954839555,
      1.335946170821076,
      1.3189542304143094,
      1.3022723693519715,
      1.2858913295057446,
      1.2698021281951895,
      1.2539960741378204,
      1.2384647755165519,
      1.2232001424439278,
      1.208194431105843,
      1.1934404271616024,
      1.1789312631119293,
      1.1646603010904661,
      1.1506212481926064,
      1.1368086063240943,
      1.123217709389451,
      1.1098444260122025,
      1.0966845986207783,
      1.0837338449375353,
      1.070987650798164,
      1.0584414560858617,
      1.0460907145930487,
      1.0339309343713186,
      1.0219577046495665,
      1.0101667132968597,
      0.9985537576713936,
      0.9871147507185983,
      0.9758457232584051,
      0.9647428247122378,
      0.9538023218715237,
      0.943020596981704,
      0.9323941447326918,
      0.921919569268693,
      0.9115935803937585,
      0.9014129900788761,
      0.8913747091024274,
      0.8814757431453989,
      0.8717131893894046,
      0.8620842331874297,
      0.852586144581358,
      0.8432162751483935,
      0.8339720548443251,
      0.824850989222022,
      0.8158506566394865,
      0.8069686991697128,
      0.798202760156006,
      0.7895500369074292,
      0.7810075733156774,
      0.7725727168460726,
      0.7642430466584299,
      0.7560163223519958,
      0.7478904469947549,
      0.739863439785224,
      0.73193368293309,
      0.7241007069636857,
      0.716364058482066,
      0.708722933681801,
      0.7011762949119388,
      0.6937229509724232,
      0.6863616137394495,
      0.6790909382541355,
      0.6719095498276746,
      0.6648160629552444,
      0.6578090947207357,
      0.6508872737065964,
      0.6440492456133342,
      0.6372936777007063,
      0.6306192606973944,
      0.6240247103818986,
      0.6175087686433411,
      0.6110702034220895,
      0.604707809065371,
      0.5984205683387537,
      0.5922081951280584,
      0.5860704205217785,
      0.5800067138497627,
      0.5740163691838677,
      0.568098565236411,
      0.5622524075100792,
      0.5564769567001547,
      0.5507712489131524,
      0.5451343093474447,
      0.5395651617718249,
      0.5340628351612168,
      0.5286263677181797,
      0.5232548097470652,
      0.5179472257004752,
      0.5127026953314076,
      0.50752031393446,
      0.502399192977184,
      0.49733846038980434,
      0.4923372600857528,
      0.487394751808179,
      0.48251011122903564,
      0.47768252938833766,
      0.47291121233986194,
      0.46819538097905744,
      0.46353427054704743,
      0.4589271303966633,
      0.45437322369147537,
      0.4498718268864228,
      0.44542222947434024,
      0.44102373387255006,
      0.43667565481477677,
      0.4323773191906448,
      0.42812806569705947,
      0.4239272446083338,
      0.41977421756379,
      0.41566835714570155,
      0.4116090466538228,
      0.4075956799510195,
      0.40362766107523346,
      0.3997044041780896,
      0.39582533297691824,
      0.3919898807881605,
      0.38819749043162805,
      0.3844476137777201,
      0.38073971144515634,
      0.3770732529306274,
      0.373447716229351,
      0.36986258760856766,
      0.3663173616613611,
      0.362811540725667,
      0.35934463504214625,
      0.35591616255747116,
      0.3525256486028499,
      0.3491725917509998,
      0.34585632230368557,
      0.3425761617355563,
      0.3393315109465921,
      0.33612182872138446,
      0.33294661615982346,
      0.32980540616544013,
      0.3266977555367867,
      0.3236232396466429,
      0.32058144855844534,
      0.31757198434986655,
      0.3145944589090306,
      0.31164849283270185,
      0.3087337142390148,
      0.3058497578731795,
      0.302996279762087,
      0.30017311807519786,
      0.2973801800475931,
      0.29461729619369104,
      0.29188424460609896,
      0.2891807676060544,
      0.28650658372046334,
      0.28386139607340644,
      0.2812448982155138,
      0.2786567782398758,
      0.2760967216841135,
      0.273564413560021,
      0.2710595397348245,
      0.2685817880008339,
      0.2661308486590175,
      0.26370641486115043,
      0.2613082092678243,
      0.2589359949878565,
      0.25658952518853656,
      0.2542685403030014,
      0.251972773100415,
      0.24970195192550984,
      0.24745580310017423,
      0.24523405254691827,
      0.24303647596302994,
      0.24086290378120725,
      0.2387131017517037,
      0.2365868098538747,
      0.23448376749283642,
      0.23240371449774777,
      0.2303463920533086,
      0.228311543223427,
      0.22629891338796096,
      0.22430825044073696,
      0.22233930496685414,
      0.22039183034882945,
      0.21846558289130003,
      0.21656032182484775,
      0.21467580913857642,
      0.21281180968567676,
      0.21096809144856649,
      0.20914442511210757,
      0.20734058420294887,
      0.20555634493034888,
      0.2037914515771633,
      0.20204563122520772,
      0.20031863096233862,
      0.19861021259169184,
      0.19692014911506062,
      0.19524822226056113,
      0.1935942206640231,
      0.1919579384683296,
      0.1903391743734855,
      0.1887377310702033,
      0.18715341464799312,
      0.1855860343316713,
      0.18403540217674721,
      0.18250133281112652,
      0.18098364332437494,
      0.1794821531895925,
      0.17799668415419212,
      0.17652706014990763,
      0.17507310725996986,
      0.1736346536545086,
      0.17221152958274738,
      0.17080356723170334,
      0.16941060085724552,
      0.16803246665449564,
      0.16666900266578122,
      0.1653200487957513,
      0.16398544688279734,
      0.16266504071943674,
      0.16135867574128893,
      0.1600661991536164,
      0.15878746001883484,
      0.1575223091205669,
      0.15627059895408224,
      0.15503218361378998,
      0.15380691897192691,
      0.1525946624749657,
      0.15139527325013302,
      0.15020861202640146,
      0.14903454112435358,
      0.14787292440644884,
      0.1467236272641229,
      0.1455865166478253,
      0.14446146101314414,
      0.1433483302909234,
      0.14224699593198836,
      0.14115733075975084,
      0.14007920903734297,
      0.13901250642465146,
      0.13795710008020973,
      0.136912945641414,
      0.1358800665440584,
      0.13485844804115238,
      0.1338480422806537,
      0.1328487786100328,
      0.13186057071967383,
      0.13088332160071312,
      0.12991692720757939,
      0.12896127885236558,
      0.12801626504016203,
      0.127081772713694,
      0.12615768805284502,
      0.12524389713677564,
      0.12434028630627705,
      0.12344673028769924,
      0.12256305488380098,
      0.12168908847122656,
      0.12082467971585512,
      0.11996965418402906,
      0.11912381930421724,
      0.11828700896784654,
      0.11745907836201878,
      0.11663986585237862,
      0.11582918897911858,
      0.11502689195154217,
      0.11423284541112612,
      0.11344693435483431,
      0.112669053443515,
      0.11189910445189966,
      0.1111369945980579,
      0.11038263676362298,
      0.10963594997199841,
      0.10889685516929427,
      0.10816527414299779,
      0.10744112956912075,
      0.10672434499232347,
      0.10601484493659455,
      0.105312554542289,
      0.1046173997780137,
      0.10392930748339295,
      0.10324820524371571,
      0.1025740213368945,
      0.10190668488031053,
      0.10124612577068572,
      0.10059227458230066,
      0.09994506263939537,
      0.09930442197051265,
      0.09867028527809915,
      0.09804258603142892,
      0.09742125839040157,
      0.09680623717676565,
      0.09619745793006566,
      0.09559485684569423,
      0.09499837069601978,
      0.09440793695736091,
      0.09382349385034244,
      0.09324498014779113,
      0.09267233529624938,
      0.09210549934277747,
      0.09154441297230435,
      0.09098901748971487,
      0.09043925487458368,
      0.08989506759649858,
      0.08935639869938643,
      0.0888231919135357,
      0.0882953915790915,
      0.08777294250833578,
      0.08725579015527356,
      0.08674388050103055,
      0.08623716013212798,
      0.08573557609856626,
      0.08523904843450225,
      0.08474746839640986,
      0.08426074080921739,
      0.08377878428369132,
      0.08330152756194463,
      0.08282889499267215,
      0.08236077790434107,
      0.08189707679953881,
      0.0814377085399322,
      0.08098260203259465,
      0.08053169519387848,
      0.08008493276914765,
      0.07964226444924369,
      0.07920364357857869,
      0.0787690264722883,
      0.07833837154755866,
      0.07791163900721772,
      0.07748879037412204,
      0.07706978815486638,
      0.07665459576471138,
      0.07624317730994531,
      0.07583549758898962,
      0.07543152193080598,
      0.07503121611816149,
      0.07463454636334221,
      0.07424147926003292,
      0.0738519818037172,
      0.07346602123198594,
      0.07308356518717245,
      0.07270458168013472,
      0.07232903902361792,
      0.07195690570955791,
      0.07158815066544942,
      0.0712227430162578,
      0.07086065230509765,
      0.07050184829887253,
      0.07014630098234631,
      0.06979398071843831,
      0.06944485810469565,
      0.06909890396736666,
      0.06875608943909436,
      0.06841638598999819,
      0.0680797652661236,
      0.0677461991192659,
      0.06741565972989694,
      0.06708811956906893,
      0.06676355132668027,
      0.0664419278560993,
      0.06612322237095067,
      0.06580740830290904,
      0.06549445930659278,
      0.06518434935749202,
      0.06487705257462158,
      0.06457254334560801,
      0.06427079635449344,
      0.06397178650218427,
      0.06367548885996335,
      0.0633818787091593,
      0.06309093163270997,
      0.06280262332794763,
      0.06251692980461165,
      0.06223382732651021,
      0.06195329230963184,
      0.06167530137985716,
      0.061399831456855146,
      0.06112685963250705,
      0.06085636314524512,
      0.06058831948554443,
      0.060322706400467156,
      0.060059501778288095,
      0.05979868474832265,
      0.05954024741717334,
      0.05928418722226866,
      0.059030496258652664,
      0.05877916273437099,
      0.058530172072771065,
      0.05828350777478162,
      0.05803915200030215,
      0.05779708595973381,
      0.057557290254339796,
      0.05731974508355875,
      0.05708443043178585,
      0.056851326073013096,
      0.05662041176868532,
      0.05639166736361247,
      0.05616507273601105,
      0.055940607893987936,
      0.05571825292608166,
      0.055497988053948864,
      0.05527979375879757
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786832241951192,
      10.572086804653203,
      10.349342939157852,
      10.12102526344293,
      9.889308538417037,
      9.656124056146105,
      9.423177827426345,
      9.191957228240742,
      8.963752400642962,
      8.739640594430245,
      8.52047025665986,
      8.306853315634232,
      8.099170457299037,
      7.897587603387394,
      7.702081229784035,
      7.512469811914558,
      7.328444881430455,
      7.1496028532040485,
      6.975475580661166,
      6.805557931530692,
      6.639331834273922,
      6.4762866688858844,
      6.315936176228738,
      6.157832206155228,
      6.001575691094196,
      5.846825221750604,
      5.693296183634761,
      5.540756458661027,
      5.3890472625459545,
      5.238075066547724,
      5.087814302223701,
      4.9383143967580745,
      4.789693132169612,
      4.642121129969465,
      4.495828003355268,
      4.351099215247496,
      4.208265959475719,
      4.067689378118788,
      3.929750752855748,
      3.7948457353853096,
      3.663371782362882,
      3.53571621794172,
      3.4122477020519724,
      3.293297256809666,
      3.179149469041386,
      3.0700397453201824,
      2.966154487559486,
      2.867630369137448,
      2.7745510355151284,
      2.6869347237156562,
      2.604746055172642,
      2.5279099780751366,
      2.4563159447182006,
      2.3898057202415983,
      2.3281553713985637,
      2.2710934977715573,
      2.2183016720952065,
      2.1694144847117136,
      2.1240349738204527,
      2.0817472049584445,
      2.04216516679548,
      2.004913902084817,
      1.9696324930198585,
      1.93602772852486,
      1.9038705487928884,
      1.8729801934500407,
      1.8432117888393127,
      1.8144494105651832,
      1.7865967950298989,
      1.7595719734478317,
      1.7333057012450612,
      1.7077418097134351,
      1.6828340307725527,
      1.6585435359807108,
      1.6348371371048587,
      1.6116859683692641,
      1.5890645191872168,
      1.5669502524830563,
      1.5453225927273904,
      1.5241621325938661,
      1.503450917538015,
      1.4831721850022426,
      1.4633099302612154,
      1.4438490715120869,
      1.4247754760512235,
      1.406075841147769,
      1.387737598608736,
      1.369748934562013,
      1.352099207877289,
      1.3347785414423858,
      1.3177773194843778,
      1.3010861037469907,
      1.2846956848957147,
      1.2685971157507363,
      1.25278173093636,
      1.2372411674939359,
      1.221967513888886,
      1.2069532639734806,
      1.1921911814806265,
      1.177674295284277,
      1.1633958916720646,
      1.149349684645388,
      1.13553017475621,
      1.1219327657807283,
      1.1085534382787183,
      1.0953879425037847,
      1.0824318075757036,
      1.0696804557356208,
      1.0571292818279925,
      1.0447737072405117,
      1.0326092164843357,
      1.0206313821855648,
      1.0088358802741573,
      0.9972184994812624,
      0.9857751463454264,
      0.9745018469697584,
      0.9633947473750668,
      0.9524501118956098,
      0.9416643208423223,
      0.9310338676830077,
      0.9205553553278815,
      0.9102254926787252,
      0.9000410912263239,
      0.8899990610698729,
      0.880096407408465,
      0.8703302267718757,
      0.8606977041391344,
      0.851196109190963,
      0.841822793095494,
      0.8325751854431344,
      0.8234507917098309,
      0.8144471897433956,
      0.8055620208674571,
      0.7967928835306591,
      0.7881369089295487,
      0.7795911720707579,
      0.7711530423152864,
      0.7628201147079224,
      0.7545901602299442,
      0.7464610901216515,
      0.738430929295477,
      0.7304985194935046,
      0.7226635287309903,
      0.7149253243102789,
      0.7072829768695197,
      0.6997353597417306,
      0.6922812189709071,
      0.684919222476195,
      0.6776479941806215,
      0.6704661373290908,
      0.6633722512937672,
      0.6563649422538216,
      0.6494428310717719,
      0.6426045579646126,
      0.635848786334452,
      0.6291742041227092,
      0.6225795252463429,
      0.6160634903132105,
      0.6096248662958517,
      0.6032624467226547,
      0.5969755258159818,
      0.5907639278143771,
      0.584627250051092,
      0.5785648687012072,
      0.5725760128328535,
      0.5666598161296073,
      0.560815352019641,
      0.5550416590415954,
      0.5493377578283306,
      0.5437026628970452,
      0.5381353905836599,
      0.5326349645264484,
      0.5272004190502085,
      0.5218308020457078,
      0.5165251760832401,
      0.5112826195764488,
      0.5061022270615777,
      0.5009831095643901,
      0.4959243943213572,
      0.490925224849936,
      0.4859847607611164,
      0.4811021774439173,
      0.47627666570042576,
      0.47150743140930396,
      0.46679369534653253,
      0.46213469275911606,
      0.45752967279380097,
      0.4529778983675903,
      0.4484786458703814,
      0.4440312047019734,
      0.4396348769744788,
      0.43528897743201583,
      0.43099283282655126,
      0.426745781589021,
      0.42254717400048225,
      0.4183963714150544,
      0.41429274618762485,
      0.41023568159587376,
      0.406224571197177,
      0.40225881881691367,
      0.3983378384050431,
      0.3944610536613058,
      0.39062789775888845,
      0.3868378132185369,
      0.38309025162855986,
      0.37938467356663264,
      0.37572054826705814,
      0.37209735346567224,
      0.3685145753976526,
      0.3649717083130765,
      0.36146825442563446,
      0.3580037236589243,
      0.354577633649054,
      0.3511895095458273,
      0.34783877095301574,
      0.3445247101141037,
      0.34124668465141655,
      0.33800412086358383,
      0.3347964952061122,
      0.33162332121304355,
      0.3284841405418375,
      0.3253785160607385,
      0.3223060273620367,
      0.31926626736178265,
      0.3162588400768128,
      0.31328335875642516,
      0.3103394447068234,
      0.30742672652410014,
      0.304544839313832,
      0.3016934784073065,
      0.2988725394905479,
      0.29608190008860197,
      0.29332136982060375,
      0.2905907119746148,
      0.2878896583967045,
      0.2852179201040841,
      0.2825751947690656,
      0.27996117208089866,
      0.27737553745109794,
      0.2748179742164566,
      0.2722881658368469,
      0.26978579714168843,
      0.26731055505020895,
      0.2648621290738669,
      0.2624402175032765,
      0.26004456581975804,
      0.2576749345339982,
      0.2553310682582793,
      0.2530127012843018,
      0.25071956194149203,
      0.24845137547501922,
      0.2462078658871128,
      0.2439887810999558,
      0.24179395465222148,
      0.23962318008372682,
      0.23747619406171505,
      0.23535273000027243,
      0.23325252247117176,
      0.23117530797993027,
      0.2291208252726955,
      0.22708881565880715,
      0.2250790232228931,
      0.2230911949153794,
      0.22112508064862751,
      0.21918043320823258,
      0.2172570084382917,
      0.21535456515300463,
      0.2134728651956713,
      0.21161167330088856,
      0.20977075714194293,
      0.20794988724528476,
      0.20614883693730118,
      0.20436736871712508,
      0.20260520908130855,
      0.2008620945291054,
      0.1991377787597101,
      0.19743202828724482,
      0.19574461943721114,
      0.1940753361658671,
      0.19242396872014197,
      0.1907903123567446,
      0.18917416649736182,
      0.18757533438062313,
      0.18599362244603893,
      0.18442884004582305,
      0.1828807992669982,
      0.18134931478709718,
      0.1798342036485634,
      0.17833528539605673,
      0.1768523816994919,
      0.175385316415866,
      0.1739339155428725,
      0.17249800724237363,
      0.1710774215902312,
      0.1696719907262717,
      0.1682815487685497,
      0.16690593177152943,
      0.16554497783020822,
      0.16419852685944902,
      0.1628664205061086,
      0.16154850235869245,
      0.16024461778803953,
      0.1589546140474957,
      0.15767833999751238,
      0.15641564640112587,
      0.15516638565299265,
      0.1539304117995572,
      0.15270758062831954,
      0.1514977494950733,
      0.1503007774423491,
      0.14911652517716723,
      0.1479448548883463,
      0.14678563041876624,
      0.14563871711186743,
      0.14450398186036628,
      0.14338129300725672,
      0.14227052040411928,
      0.1411715354551787,
      0.14008421094410278,
      0.13900842105585626,
      0.13794410337363233,
      0.13689127918498278,
      0.13584993879866822,
      0.13482003708054338,
      0.13380150434221705,
      0.13279425413794707,
      0.13179818860472695,
      0.13081320219884482,
      0.12983918447349252,
      0.12887602185716804,
      0.12792359902511327,
      0.12698179976695212,
      0.12605050773604132,
      0.12512960693679737,
      0.12421898190107508,
      0.12331851773273549,
      0.12242805607437392,
      0.1215474142670913,
      0.1206764329540232,
      0.11981495797143911,
      0.11896279936415775,
      0.1181197769866403,
      0.11728573578578763,
      0.11646053362263953,
      0.11564400318964675,
      0.11483597698580207,
      0.11403631094618043,
      0.11324487825458558,
      0.11246156475778811,
      0.11168626569450602,
      0.11091888330004825,
      0.11015932508027176,
      0.10940750349837675,
      0.1086633375071286,
      0.10792674842485223,
      0.10719765838473004,
      0.10647599030030874,
      0.10576166796743663,
      0.10505461590206751,
      0.1043547594354171,
      0.10366202467806113,
      0.1029763385569668,
      0.10229762869662587,
      0.10162582344870139,
      0.1009608520900354,
      0.10030264447033209,
      0.09965113110087628,
      0.0990062434493915,
      0.0983679135955772,
      0.09773607430275327,
      0.097110659059971,
      0.09649160207585877,
      0.09587883827517031,
      0.09527230320896152,
      0.09467193298606644,
      0.09407766457557354,
      0.09348943558440949,
      0.09290718416474296,
      0.09233084919669955,
      0.0917603701367215,
      0.09119568707159993,
      0.09063674070483808,
      0.09008347241534863,
      0.08953582414666487,
      0.08899373841944856,
      0.08845715840325447,
      0.0879260278760811,
      0.08740029116723946,
      0.08687989318498661,
      0.08636477939526394,
      0.08585489587273132,
      0.08535018923300505,
      0.08485060661795088,
      0.08435609568281814,
      0.08386657292101532,
      0.08338193022160525,
      0.082902075066278,
      0.08242692813075414,
      0.08195640126756196,
      0.08149038082447796,
      0.08102876663657742,
      0.0805714750915251,
      0.08011843480762045,
      0.07966958350120708,
      0.07922486563988465,
      0.07878423081247093,
      0.07834763237301902,
      0.07791502654804651,
      0.07748637180288781,
      0.07706162831859242,
      0.0766407576502501,
      0.07622372235894856,
      0.0758104859210887,
      0.0754010124981146,
      0.07499526685518948,
      0.07459321433288839,
      0.07419482076421292,
      0.07380005244410137,
      0.07340887592256935,
      0.07302125819654937,
      0.07263716672212714,
      0.07225656914205837,
      0.07187943341495992,
      0.07150572786621463,
      0.07113542117008836,
      0.07076848223794469,
      0.07040488025676112,
      0.0700445847987239,
      0.06968756567144542,
      0.06933379283894192,
      0.06898323669650576,
      0.06863586795253862,
      0.06829165745777482,
      0.06795057637520852,
      0.06761259614126953,
      0.06727768845995986,
      0.06694582531381482,
      0.06661697894742293,
      0.06629112185190957,
      0.0659682267375205,
      0.06564826652934297,
      0.06533121451672438,
      0.06501704423029211,
      0.0647057293103616,
      0.06439724376094585,
      0.06409156170857178,
      0.06378865763260792,
      0.06348850622774864,
      0.06319108239465733,
      0.06289636131417248,
      0.06260431836662345,
      0.062314929051958214,
      0.06202816920304881,
      0.061744014894635435,
      0.06146244239804346,
      0.061183428130151866,
      0.06090694881926561,
      0.060632984459830355,
      0.060361529647698794,
      0.060092580181156825,
      0.05982612652374424,
      0.059562155478638794,
      0.05930065116779426,
      0.05904159580648313,
      0.05878497024163095,
      0.05853075448460724,
      0.05827892787500718,
      0.0580294694995288,
      0.057782358078548646,
      0.05753757230949837,
      0.05729509075822274,
      0.057054892125325066,
      0.05681695518854417,
      0.05658125881222535,
      0.05634778207157103,
      0.05611650412018689,
      0.05588740435370607,
      0.055660462252979034,
      0.055435657447132004,
      0.05521296980276288,
      0.054992379383444576,
      0.05477386643556569,
      0.054557411387551664
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786814441847138,
      10.572029506639698,
      10.34922931258544,
      10.120843096200243,
      9.889050061014187,
      9.655784855424375,
      9.422756147669032,
      9.19145294909772,
      8.96316659445574,
      8.738974984116322,
      8.519726914279842,
      8.306034392788659,
      8.098277960049622,
      7.896623223551075,
      7.701046241463305,
      7.511365022083469,
      7.327270609669417,
      7.148358969711331,
      6.974161576958496,
      6.804173016766645,
      6.637875049599698,
      6.474757016144724,
      6.314332752263086,
      6.156154340499382,
      5.99982308599364,
      5.844998084980331,
      5.691395029603376,
      5.538782613288008,
      5.38700304862234,
      5.235963846223604,
      5.085640429700529,
      4.936083260390283,
      4.787411054275598,
      4.639795259217485,
      4.4934664848243875,
      4.348711080472901,
      4.205861132948525,
      4.065278639707242,
      3.9273452038785344,
      3.792456605460934,
      3.66101016387184,
      3.5333933351595186,
      3.40997428200615,
      3.2910830487757776,
      3.177003108361495,
      3.067968594721269,
      2.964164664919051,
      2.8657264864369147,
      2.7727358148143213,
      2.685209384495072,
      2.6031108601862574,
      2.5263643161859655,
      2.454858178874023,
      2.3884320304118094,
      2.3268601643155207,
      2.269869780047506,
      2.2171413088228857,
      2.1683085413980603,
      2.1229738532079114,
      2.080721534878554,
      2.0411666626388683,
      2.0039343254323803,
      1.9686648650039813,
      1.935066829285654,
      1.9029124596566445,
      1.872021926246284,
      1.8422511063237186,
      1.8134845129259545,
      1.7856260966751867,
      1.758594349021735,
      1.7323203723252236,
      1.7067482512352423,
      1.6818319020989345,
      1.6575326298109125,
      1.633817342618012,
      1.6106572441495697,
      1.5880268731813705,
      1.5659035928117857,
      1.544266878085944,
      1.5230973900026363,
      1.502377201308145,
      1.4820895125311944,
      1.4622182881791677,
      1.4427484843435716,
      1.4236659951418078,
      1.404957536059096,
      1.386610551592997,
      1.3686132571382408,
      1.3509550369586742,
      1.333625865046857,
      1.316615982309205,
      1.2999159270027139,
      1.2835165507339574,
      1.2674090255313508,
      1.2515848436220156,
      1.2360358140257481,
      1.2207540552366087,
      1.2057319865051028,
      1.1909623173245283,
      1.1764380365967195,
      1.162152401821931,
      1.1480991728131276,
      1.1342728782849798,
      1.1206690975401539,
      1.1072838169527253,
      1.0941126870067837,
      1.0811511656330894,
      1.068394624072643,
      1.0558384205350797,
      1.0434779500100753,
      1.031308678258268,
      1.019326164018705,
      1.007526073353973,
      0.9959041877492477,
      0.9844564081817704,
      0.9731787573180148,
      0.9620673784263952,
      0.9511185337092508,
      0.9403286016978304,
      0.9296940743696331,
      0.9192115536759232,
      0.9088777477242352,
      0.8986894673650836,
      0.8886436220483337,
      0.878737216406297,
      0.8689673466778259,
      0.8593311973085966,
      0.8498260374482101,
      0.8404492179805854,
      0.8311981681439982,
      0.8220703929850078,
      0.8130634699882777,
      0.8041750395609629,
      0.7954026558948699,
      0.7867433859771765,
      0.7781943350832594,
      0.7697528940782192,
      0.7614166733444003,
      0.7531834551000459,
      0.745051158404684,
      0.7370179566287113,
      0.7290831335338429,
      0.7212462807500984,
      0.7135066127908197,
      0.7058630924383376,
      0.6983145171027737,
      0.6908595793324275,
      0.683496909330956,
      0.6762251042888382,
      0.6690427487154924,
      0.6619484286369232,
      0.6549407409803395,
      0.6480183000911044,
      0.6411797416886751,
      0.6344237257835419,
      0.6277489379875254,
      0.6211540905010181,
      0.6146379227637332,
      0.6081992009378199,
      0.6018368192540834,
      0.5955503838984578,
      0.58933965951133,
      0.5832041306483862,
      0.57714309470444,
      0.5711557257620957,
      0.5652411187031059,
      0.559398320389761,
      0.5536263505864822,
      0.5479242168905796,
      0.5422909246141479,
      0.5367254835350136,
      0.5312269128925862,
      0.5257942440117142,
      0.5204265224512811,
      0.5151228092547686,
      0.5098821817194188,
      0.5047037335878506,
      0.4995865751755771,
      0.49452983341319107,
      0.4895326515012807,
      0.48459418876563687,
      0.4797136204104071,
      0.4748901370946686,
      0.470122944716074,
      0.46541126371643166,
      0.4607543291567994,
      0.45615139016484135,
      0.4516017094429169,
      0.44710456311707725,
      0.4426592404960187,
      0.4382650436659993,
      0.43392128704882027,
      0.42962729725451987,
      0.425382412670268,
      0.4211859833721736,
      0.41703737031664373,
      0.4129359458982864,
      0.40888109310346854,
      0.4048722053455169,
      0.40090868629486354,
      0.39698994965460277,
      0.39311541893278584,
      0.38928452711036843,
      0.3854967164343057,
      0.38175143836118663,
      0.3780481532456773,
      0.3743863301558735,
      0.37076544663730476,
      0.36718498868101035,
      0.36364445025989517,
      0.3601433332727888,
      0.356681147591745,
      0.3532574107300058,
      0.3498716223606165,
      0.3465231166288771,
      0.3432111990485091,
      0.33993525741335434,
      0.33669473919151505,
      0.3334891356239485,
      0.33031797080919595,
      0.32718079361087415,
      0.32407717195194996,
      0.32100668891634065,
      0.31796893985506897,
      0.31496353023328555,
      0.3119900743503665,
      0.3090481942801314,
      0.30613751897745234,
      0.30325768368761047,
      0.300408454642964,
      0.29758974221470885,
      0.29480139765696567,
      0.2920432120882956,
      0.28931493548888265,
      0.28661629021532364,
      0.2839469804317145,
      0.28130669908258915,
      0.27869513238288024,
      0.2761119631523991,
      0.27355687299459247,
      0.2710295440024485,
      0.2685296599345356,
      0.2660569068531508,
      0.26361097368538117,
      0.26119157581768443,
      0.25879847225962044,
      0.25643141336004555,
      0.25409013653403645,
      0.2517743710590025,
      0.24948384154752476,
      0.24721827056834966,
      0.2449773902415883,
      0.2427610097789515,
      0.2405689542319793,
      0.23840097318640763,
      0.23625679290264096,
      0.23413614203658883,
      0.23203875178636305,
      0.2299643561198881,
      0.22791269203279868,
      0.22588349948135203,
      0.22387652155014542,
      0.22189150449931264,
      0.2199281977423291,
      0.21798635365262342,
      0.21606572783494107,
      0.21416607875532517,
      0.21228716792479913,
      0.21042875991190185,
      0.20859062217210173,
      0.20677252497312812,
      0.2049742401701753,
      0.2031955069488459,
      0.20143604999512493,
      0.19969561381851186,
      0.19797395766957165,
      0.19627085198962335,
      0.1945860758536874,
      0.19291941528309808,
      0.1912706618105771,
      0.18963961153415732,
      0.18802606454217352,
      0.18642982445240155,
      0.18485069797484238,
      0.18328849463658117,
      0.18174302656564628,
      0.1802141084480779,
      0.1787015573906299,
      0.17720519275227936,
      0.17572483609685763,
      0.1742603113173332,
      0.17281144433447937,
      0.17137806313218654,
      0.16995999783698712,
      0.1685570804984555,
      0.16716914519349882,
      0.16579602779936295,
      0.16443756619179598,
      0.1630936001886897,
      0.1617639714420257,
      0.1604485235199237,
      0.159147101644863,
      0.15785955295828488,
      0.15658572632064538,
      0.15532547232656582,
      0.15407864327428533,
      0.15284509318539777,
      0.15162467781044614,
      0.15041725446857585,
      0.1492226821972763,
      0.1480408215195832,
      0.14687153454686191,
      0.14571468504195073,
      0.1445701382460009,
      0.1434377610283503,
      0.14231742171679276,
      0.14120899011112434,
      0.14011233746941493,
      0.13902737663965717,
      0.13795412585787273,
      0.1368925827433403,
      0.13584270639717486,
      0.13480442930715894,
      0.13377766570143712,
      0.13276231731812568,
      0.13175827746606997,
      0.13076543402165605,
      0.1297836714942366,
      0.12881287240396938,
      0.12785291823735093,
      0.12690369023322298,
      0.125965069836126,
      0.1250369390482061,
      0.12411918068075369,
      0.12321167854511231,
      0.12231429687288037,
      0.12142685427215613,
      0.12054918130575747,
      0.11968112787099175,
      0.11882252301594318,
      0.11797317442505699,
      0.11713291650659798,
      0.11630161090209093,
      0.11547911827706679,
      0.11466526239590338,
      0.11385988156518197,
      0.11306283594445439,
      0.11227400176510106,
      0.1114932670361392,
      0.11072052855492477,
      0.10995568968305976,
      0.10919865891080181,
      0.10844934887975459,
      0.10770767830311606,
      0.10697356917704796,
      0.10624694405504578,
      0.10552772628884735,
      0.10481583990926013,
      0.10411120969383951,
      0.10341376107817032,
      0.10272342026666158,
      0.10204011430182451,
      0.10136377090721832,
      0.10069431859399461,
      0.10003168652203993,
      0.09937580468790426,
      0.09872660382321263,
      0.09808401532106072,
      0.09744797127309729,
      0.09681840452820238,
      0.09619524863949597,
      0.09557843782646416,
      0.09496790701608952,
      0.09436359180372295,
      0.09376542845459007,
      0.09317335391422382,
      0.0925873057322256,
      0.09200722211552995,
      0.0914330420286423,
      0.09086470497861109,
      0.09030215112004548,
      0.08974532121614598,
      0.08919415662136503,
      0.08864859938671872,
      0.08810859213895016,
      0.08757407808894631,
      0.08704500102974431,
      0.08652130533024215,
      0.08600293596914055,
      0.08548983843763425,
      0.08498195883504119,
      0.08447924379465604,
      0.08398164054536553,
      0.08348909679088434,
      0.08300156085185141,
      0.08251894814189156,
      0.08204115159792726,
      0.08156808049996689,
      0.08109963290657643,
      0.08063568847710355,
      0.08017614486599699,
      0.0797209168625696,
      0.0792699319259411,
      0.07882312690472659,
      0.07838044572198041,
      0.07794183744706479,
      0.0775072550743348,
      0.07707665469261654,
      0.0766499946250842,
      0.07622723500099354,
      0.07580833721977794,
      0.0753932638177841,
      0.07498197823101993,
      0.07457444470150389,
      0.07417062794811644,
      0.07377049338947264,
      0.07337400685742093,
      0.07298113462070584,
      0.07259184338475352,
      0.07220610023591824,
      0.07182387252675695,
      0.07144512793728365,
      0.07106983453738049,
      0.07069796066623028,
      0.07032947500679108,
      0.06996434655040878,
      0.06960254453059073,
      0.06924403855179877,
      0.06888879846202271,
      0.06853679436311527,
      0.06818799662822861,
      0.0678423760224784,
      0.06749990348755251,
      0.067160550210244,
      0.0668242876155687,
      0.06649108747521974,
      0.0661609218139708,
      0.06583376290914252,
      0.0655095832464703,
      0.06518835567408648,
      0.06487005314111086,
      0.06455464894879473,
      0.06424211667224039,
      0.06393243000996823,
      0.06362556294242737,
      0.06332148975487459,
      0.06302018486425764,
      0.06272162300914655,
      0.06242577919914081,
      0.062132628646395634,
      0.061842146742248465,
      0.061554311383872955,
      0.061269115435721846,
      0.060986554953263716,
      0.06070662046462242,
      0.06042929828284823,
      0.060154571858611824,
      0.05988242254582946,
      0.059612830305125424,
      0.05934577416011254,
      0.059081232411431525,
      0.05881918290211685,
      0.058559603297077954,
      0.058302471148598094,
      0.05804776395839266,
      0.057795459217120454,
      0.05754553457753576,
      0.05729796783401052,
      0.05705273675965507,
      0.056809819385587136,
      0.056569193946876054,
      0.05633083890589586,
      0.056094732874584316,
      0.05586085459152007,
      0.05562918297896128,
      0.05539969722594376,
      0.05517237668484923,
      0.05494720090212639,
      0.05472414960847118,
      0.05450320270332542,
      0.054284340319571966,
      0.05406754277151805,
      0.05385279054471034
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786796798494827,
      10.571972730185504,
      10.349116734488337,
      10.120662624025877,
      9.88879401357913,
      9.655448855183277,
      9.42233842581945,
      9.190953391425223,
      8.962586297121671,
      8.738315685910283,
      8.518990696461152,
      8.305223411693134,
      8.097394223975352,
      7.895668425376599,
      7.70002165531671,
      7.510271456458641,
      7.326108388804641,
      7.1471279707860935,
      6.972861300986534,
      6.8028026861761335,
      6.636433722403066,
      6.473243711790126,
      6.312746585694567,
      6.154494659558492,
      5.998089607943394,
      5.843191031147005,
      5.689514926851875,
      5.536830795386311,
      5.384981838801885,
      5.23387659944929,
      5.083491482142512,
      4.933877971121086,
      4.785155704840071,
      4.637496946247079,
      4.491133288812485,
      4.346351955302109,
      4.203485822747614,
      4.062897744659367,
      3.924969724040494,
      3.7900976608308423,
      3.658678732089707,
      3.5311005170569167,
      3.4077306796576217,
      3.288898289918342,
      3.174885713638599,
      3.0659258228838038,
      2.9622025414101585,
      2.8638495442488483,
      2.770946714819827,
      2.6835093012297118,
      2.601500022837239,
      2.524842090622966,
      2.453422792531271,
      2.38707953959938,
      2.325585032012553,
      2.268665009462114,
      2.2159987753797097,
      2.1672193587918973,
      2.121928575122,
      2.0797109375590934,
      2.0401825404421827,
      2.002968551233084,
      1.967710599528792,
      1.934118959502709,
      1.9019671493559198,
      1.871076250845148,
      1.841302876733417,
      1.812531966388458,
      1.784667675778323,
      1.7576289498652995,
      1.731347233031821,
      1.7057668590831492,
      1.6808419253109061,
      1.656533868257441,
      1.6328096907264578,
      1.6096406646664734,
      1.5870013770544782,
      1.5648691203946095,
      1.5432233821245276,
      1.522044893805013,
      1.5013157570826783,
      1.481019112139183,
      1.4611389248018374,
      1.4416601869432704,
      1.4225688184919711,
      1.4038515528868156,
      1.3854958466828475,
      1.3674899436915824,
      1.3498232647621489,
      1.332485772739071,
      1.3154676999816488,
      1.2987595778019965,
      1.282352252125138,
      1.26623689021941,
      1.2504049804346662,
      1.2348483287051941,
      1.2195590506298748,
      1.2045295627619632,
      1.189752572406645,
      1.175221066791601,
      1.1609283014987066,
      1.1468681009247261,
      1.1330351315723328,
      1.119425127022348,
      1.1060339723808625,
      1.0928572391529205,
      1.0798903284639636,
      1.0671285710973712,
      1.0545672960565038,
      1.0422018770733001,
      1.0300277648315128,
      1.0180405069569058,
      1.0062357614217052,
      0.9946093040631863,
      0.9831570316187584,
      0.9718749631439987,
      0.9607592396237955,
      0.9498061213754987,
      0.9390119855850227,
      0.9283733232098007,
      0.9178867351398972,
      0.9075489286242072,
      0.897356713847054,
      0.8873069995204643,
      0.8773967897116588,
      0.8676231803595978,
      0.8579833552555068,
      0.8484745832937726,
      0.8390942148826994,
      0.8298396788101822,
      0.8207084791795108,
      0.8116981931480055,
      0.8028064602326814,
      0.7940307920651078,
      0.7853681928106915,
      0.776815796856879,
      0.7683710160243793,
      0.7600314757353368,
      0.7517949690418576,
      0.7436594226184451,
      0.7356233745489253,
      0.7276863611548824,
      0.7198477895135416,
      0.7121067450513191,
      0.7044620995405521,
      0.6969125863612158,
      0.6894568528103885,
      0.682093497267851,
      0.6748210946371138,
      0.6676382137548711,
      0.6605434293461863,
      0.6535353304259224,
      0.6466125256380494,
      0.6397736468801527,
      0.6330173511572659,
      0.6263423222300146,
      0.6197472709517217,
      0.6132309354484812,
      0.6067920809972001,
      0.6004298494396737,
      0.5941440347454958,
      0.5879342631699953,
      0.5817999236626508,
      0.575740246589088,
      0.5697543592707904,
      0.5638413241397139,
      0.558000165152082,
      0.5522298861860864,
      0.5465294836736878,
      0.5408979551658281,
      0.5353343050576281,
      0.5298375486676774,
      0.5244067146373658,
      0.5190408467825384,
      0.5137390046944978,
      0.5085002647761376,
      0.5033237200668268,
      0.49820848043659755,
      0.4931536723395318,
      0.4881584387400472,
      0.4832219387821021,
      0.47834334738219353,
      0.47352185502736704,
      0.4687566673228587,
      0.46404700467203724,
      0.4593921018869161,
      0.45479120785785937,
      0.4502435851563862,
      0.4457485099036925,
      0.4413052712185623,
      0.43691317098410654,
      0.432571523552243,
      0.42827965526020356,
      0.424036904242689,
      0.41984262031148345,
      0.4156961645741494,
      0.4115969090967905,
      0.40754423658640354,
      0.40353754029642125,
      0.3995762238012305,
      0.3956597005123233,
      0.3917873935979527,
      0.387958735976701,
      0.3841731697749797,
      0.3804301461393691,
      0.3767291251998136,
      0.37306957588032263,
      0.369450975455228,
      0.36587280969042946,
      0.3623345724010996,
      0.3588357653151875,
      0.35537589796396707,
      0.3519544876507754,
      0.348570966047929,
      0.3452246185151182,
      0.3419147866331101,
      0.3386408833739198,
      0.3354023738355652,
      0.33219876175584534,
      0.32902957989908904,
      0.3258943830739067,
      0.3227927432989856,
      0.31972424661665433,
      0.3166884903096588,
      0.3136850811215344,
      0.3107136340934386,
      0.3077737718486889,
      0.3048651236224088,
      0.3019873389498634,
      0.2991402512062161,
      0.29632376609833794,
      0.2935377112360462,
      0.2907818608471114,
      0.2880559528526188,
      0.28535970113914116,
      0.28269280397693086,
      0.280054949785963,
      0.2774458214925512,
      0.2748650996208369,
      0.2723124641810789,
      0.2697875959608411,
      0.26729017777057257,
      0.2648198949367903,
      0.26237643929162413,
      0.2599595494460535,
      0.2575689837498225,
      0.25520448394028317,
      0.2528657811472886,
      0.25055260012972413,
      0.24826466253928917,
      0.24600168853617707,
      0.24376346105892852,
      0.24154981801859943,
      0.2393605381137053,
      0.23719534444202683,
      0.2350539587977546,
      0.2329361064864898,
      0.23084151638269892,
      0.22876992079097877,
      0.22672105540374596,
      0.22469465932985203,
      0.22269047493966346,
      0.2207082478702617,
      0.21874772706338116,
      0.21680866459437786,
      0.21489081571246402,
      0.2129939387099566,
      0.21111779491318497,
      0.20926214865527593,
      0.20742676723102677,
      0.20561142084575962,
      0.20381586804957483,
      0.20203983176990953,
      0.2002830454955192,
      0.19854525994239816,
      0.19682623878593816,
      0.1951257555209396,
      0.19344359133520816,
      0.1917795337347255,
      0.19013337524077828,
      0.1885049127141964,
      0.18689394670595877,
      0.185300281099196,
      0.18372372276132792,
      0.1821640813069424,
      0.1806211688941208,
      0.17909480021903998,
      0.17758479233983573,
      0.1760909644945673,
      0.17461313833281,
      0.17315113760684941,
      0.17170478818747098,
      0.17027391794560268,
      0.16885835674187502,
      0.16745793656179128,
      0.16607249137084568,
      0.16470185708404397,
      0.16334587149004742,
      0.16200437429556672,
      0.1606772070802416,
      0.15936421330151238,
      0.15806523812089154,
      0.1567801285407727,
      0.15550873343230884,
      0.15425090327034005,
      0.15300649028032495,
      0.15177534836781512,
      0.15055733316177197,
      0.14935230191668525,
      0.148160113553636,
      0.14698062853482755,
      0.14581370897187754,
      0.1446592186507543,
      0.1435170227372646,
      0.14238698793258425,
      0.14126898251902228,
      0.1401628984790263,
      0.13906873642021772,
      0.1379865045454954,
      0.13691616846147792,
      0.1358576643533089,
      0.1348109080916661,
      0.13377580171606746,
      0.1327522379558769,
      0.13174010341033957,
      0.13073928078202587,
      0.12974965060481256,
      0.1287710920402147,
      0.127803483935082,
      0.12684670531137585,
      0.1259006355949396,
      0.12496515499170786,
      0.12404014475817132,
      0.12312548708095014,
      0.12222106054725668,
      0.12132669810305383,
      0.12044221885606476,
      0.11956746430293018,
      0.11870228302252843,
      0.11784649272577886,
      0.11699991901449143,
      0.1161624109807041,
      0.11533383425770022,
      0.11451403417723277,
      0.11370283323618617,
      0.11290007623198074,
      0.11210562804170994,
      0.1113193683171676,
      0.11054118759812703,
      0.10977098452341867,
      0.10900866386195777,
      0.10825413496790988,
      0.10750731082598923,
      0.1067681100548125,
      0.10603645534605932,
      0.10531226974887263,
      0.10459547696348745,
      0.10388600129309476,
      0.10318376775078807,
      0.1024887020224461,
      0.10180073044489321,
      0.10111978007542444,
      0.10044577874466254,
      0.09977865501717917,
      0.09911833811611503,
      0.09846475811777697,
      0.09781784576107012,
      0.09717753246943073,
      0.09654375039408974,
      0.09591643239666849,
      0.09529551209134922,
      0.09468092382008979,
      0.09407260257310647,
      0.09347048395006964,
      0.09287450423767256,
      0.09228460045195158,
      0.0917007102496487,
      0.09112277186063845,
      0.09055072420747998,
      0.08998450689366704,
      0.0894240601052838,
      0.08886932468040035,
      0.08832024197718216,
      0.0877767541129116,
      0.08723880370978233,
      0.0867063340685315,
      0.08617928900758362,
      0.08565761294605576,
      0.08514125086767832,
      0.08463014835721727,
      0.08412425158807046,
      0.08362350722296806,
      0.08312786248202989,
      0.08263726516831263,
      0.08215166361591435,
      0.08167100672299757,
      0.08119521123140627,
      0.08072417140201,
      0.08025776892262414,
      0.07979587450147821,
      0.07933838140697541,
      0.07888520117243206,
      0.07843625895624054,
      0.07799148995027737,
      0.07755083672442001,
      0.07711424750296865,
      0.07668167465387445,
      0.07625307376332148,
      0.07582840279919256,
      0.0754076216717087,
      0.07499069165538062,
      0.07457757518521399,
      0.07416823569540751,
      0.0737626373315627,
      0.07336074492012806,
      0.07296252376546779,
      0.07256793970008299,
      0.07217695908584398,
      0.07178954861695108,
      0.07140567536599754,
      0.0710253067390362,
      0.07064841050193992,
      0.0702749546937548,
      0.06990490776994583,
      0.06953823849284733,
      0.06917491587739175,
      0.06881490914720281,
      0.06845818795254952,
      0.06810472216973876,
      0.06775448193063183,
      0.06740743769444128,
      0.06706356019347168,
      0.06672282044668792,
      0.06638518971732557,
      0.06605063945206678,
      0.06571914150738144,
      0.06539066790983801,
      0.06506519098904802,
      0.06474268336569866,
      0.06442311781964896,
      0.0641064673718034,
      0.06379270541156978,
      0.06348180545010358,
      0.0631737413068829,
      0.0628684870269097,
      0.06256601697070009,
      0.0622663171837911,
      0.06196938478941796,
      0.061675211714936076,
      0.061383785012295064,
      0.06109508832498814,
      0.06080910279121566,
      0.06052580782935367,
      0.060245181642942174,
      0.05996720165747206,
      0.059691844791886474,
      0.05941908767405348,
      0.059148906651434005,
      0.05888127817931773,
      0.05861617854764809,
      0.05835358417360873,
      0.058093471617799264,
      0.05783581761695523,
      0.057580599053675886,
      0.057327792949025874,
      0.05707737656064517,
      0.05682932728445222,
      0.056583622709730115,
      0.056340240671579986,
      0.05609915914229051,
      0.055860356361669604,
      0.055623810822157095,
      0.05538950111176982,
      0.0551574060754473,
      0.054927504738916944,
      0.054699776360461944,
      0.054474200381682505,
      0.054250756391912056,
      0.05402942420435263,
      0.05381018381543779,
      0.05359301540316902,
      0.05337789934504552,
      0.05316481626231283
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786779309656337,
      10.571916467765623,
      10.349005195218933,
      10.120483836570676,
      9.888540387670478,
      9.655115965551026,
      9.42192446173423,
      9.190458291536883,
      8.96201119347653,
      8.737662342702176,
      8.518261212702814,
      8.30441995452673,
      8.09651880867799,
      7.8947227504064115,
      7.699007000881147,
      7.509188636200792,
      7.324957734125876,
      7.145909369588571,
      6.971574269119481,
      6.801446463291824,
      6.63500738417073,
      6.4717462967203385,
      6.311177228337935,
      6.152852726904227,
      5.996374834773746,
      5.841403652391995,
      5.687655482262233,
      5.534900625622635,
      5.382983267904626,
      5.231812975070563,
      5.081367123380831,
      4.931698208091472,
      4.782926778768053,
      4.635225902718623,
      4.488828143024296,
      4.3440215820353805,
      4.20113980753775,
      4.060546521274555,
      3.9226241879322092,
      3.7877688193465087,
      3.6563774446836645,
      3.5288377564333793,
      3.4055169181357847,
      3.2867430309170516,
      3.1727973609223428,
      3.0639115298482165,
      2.960268238655636,
      2.8619996848329787,
      2.7691838983842514,
      2.6818346559820787,
      2.5999137430990364,
      2.5233435180583053,
      2.4520101425514316,
      2.3857488740554116,
      2.3243306948730313,
      2.2674800604489147,
      2.214875109318507,
      2.1661481449198763,
      2.1209004812140075,
      2.0787168539913385,
      2.039214371351172,
      2.002018281464325,
      1.9667714742460025,
      1.9331859344480953,
      1.9010364482280873,
      1.8701449962392023,
      1.8403689162729027,
      1.8115935658903286,
      1.7837233003944557,
      1.756677513479345,
      1.7303879872538444,
      1.70479930184533,
      1.6798657337726626,
      1.655548849105936,
      1.6318157442648327,
      1.6086377577758235,
      1.585989525025212,
      1.5638483026346062,
      1.5421935451606343,
      1.5210060564759469,
      1.5002679673270352,
      1.4799623605716943,
      1.4600732054911352,
      1.440585530222099,
      1.4214852800493127,
      1.4027592058889855,
      1.3843947767214737,
      1.366380264970092,
      1.348705128041944,
      1.3313593173340235,
      1.3143330564939124,
      1.2976168700120758,
      1.2812015983400031,
      1.2650784041779186,
      1.2492387721242846,
      1.2336745045287771,
      1.2183777139375194,
      1.2033408146447584,
      1.1885565119890125,
      1.17401779081729,
      1.1597179112449307,
      1.1456507726194822,
      1.1318112545455514,
      1.1181951219005417,
      1.1047981609232171,
      1.0916158726843508,
      1.078643607668705,
      1.0658766597907068,
      1.053310331645783,
      1.0409399781272013,
      1.0287610362749768,
      1.016769043916243,
      1.0049596514702543,
      0.9933286293962328,
      0.9818718705504084,
      0.9705853913357336,
      0.9594653300788734,
      0.9485079454894633,
      0.9377096132691412,
      0.9270668232071215,
      0.9165761753817964,
      0.906234376373662,
      0.8960382353236831,
      0.8859846604310317,
      0.8760706554151857,
      0.8662933155147952,
      0.8566498241711359,
      0.8471374496085715,
      0.8377535416939287,
      0.8284955288435366,
      0.8193609151030362,
      0.8103472772167707,
      0.8014522534671121,
      0.7926732881447973,
      0.7840073563733843,
      0.775451619562082,
      0.7670035086192489,
      0.7586606623004402,
      0.7504208831457018,
      0.7422822006376256,
      0.7342435789785952,
      0.7263045660636096,
      0.7184644094540257,
      0.7107220826285784,
      0.7030763781577739,
      0.6955259735791994,
      0.6880694771821666,
      0.6807054595587992,
      0.673432476031468,
      0.666249081605442,
      0.6591538412971971,
      0.6521453373025574,
      0.6452221735687967,
      0.6383829784298093,
      0.6316264064146414,
      0.624951139396273,
      0.6183558870160674,
      0.6118393863171896,
      0.6054004324848314,
      0.5990385087399482,
      0.5927534203963425,
      0.5865446721117107,
      0.5804115676390353,
      0.574353278174567,
      0.5683688894088218,
      0.5624574347581215,
      0.5566179179631137,
      0.55084932869069,
      0.545150653432415,
      0.5395208827825456,
      0.5339590164450423,
      0.5284640663477884,
      0.5230350588449876,
      0.5176710359419712,
      0.5123710561372817,
      0.507134194862166,
      0.5019595446255039,
      0.4968462149188503,
      0.4917933317833282,
      0.4868000378291709,
      0.48186549194774114,
      0.4769888689478675,
      0.4721693589908739,
      0.46740616758846043,
      0.4626985150724992,
      0.458045636021193,
      0.453446779201777,
      0.44890120706553766,
      0.4444081954317187,
      0.43996703328516,
      0.4355770222574018,
      0.4312374764518858,
      0.4269477222599361,
      0.4227070976841763,
      0.4185149522641958,
      0.4143706469180553,
      0.4102735534470131,
      0.406223054415789,
      0.4022185429005777,
      0.3982594221818169,
      0.3943451055351223,
      0.39047501596811635,
      0.38664858605638314,
      0.38286525767571583,
      0.3791244818858834,
      0.3754257186096738,
      0.3717684364899912,
      0.3681521125686625,
      0.3645762323214451,
      0.361040289338127,
      0.357543785207386,
      0.35408622935256706,
      0.3506671257467604,
      0.34728581756595284,
      0.3439415914011194,
      0.3406338196887737,
      0.3373619371455526,
      0.33412542431428965,
      0.33092379564485125,
      0.3277565912533511,
      0.3246233711977351,
      0.32152371109307204,
      0.3184571993046348,
      0.3154234348322871,
      0.31242202542018865,
      0.30945258690422395,
      0.30651474230601616,
      0.303608121065634,
      0.30073241060837386,
      0.29788749999818026,
      0.29507326611494716,
      0.29228951634351974,
      0.28953601046607347,
      0.2868124763079194,
      0.2841186204820022,
      0.28145413587480933,
      0.2788187071614354,
      0.27621201470141943,
      0.27363373691871684,
      0.2710835522188508,
      0.26856114033552797,
      0.2660661831511464,
      0.26359836526069996,
      0.26115739320511294,
      0.2587430217037585,
      0.2563549989918873,
      0.25399305960733726,
      0.2516569294987011,
      0.24934632980884852,
      0.2470609793468376,
      0.24480062975266628,
      0.24256511129060163,
      0.24035423400920994,
      0.23816773552571763,
      0.23600532981143607,
      0.233866735644065,
      0.2317516761474236,
      0.2296598785721598,
      0.22759107406059617,
      0.2255449974461475,
      0.22352138704816962,
      0.2215199848185312,
      0.21954053606387522,
      0.217582789353901,
      0.21564649650076517,
      0.21373141248238578,
      0.21183729542413435,
      0.20996390649914445,
      0.2081110099249417,
      0.20627837273839042,
      0.20446576403102887,
      0.20267292018795788,
      0.2008995621956768,
      0.1991454310344935,
      0.19741028272422684,
      0.19569388459740164,
      0.19399601280829884,
      0.19231645048305893,
      0.19065498627514585,
      0.18901141363865676,
      0.1873855299260531,
      0.18577713608361204,
      0.18418603619245924,
      0.18261203726057182,
      0.1810549489346656,
      0.17951458338492626,
      0.1779907552736947,
      0.17648328161657656,
      0.17499198165051338,
      0.1735166769376538,
      0.17205719104266082,
      0.17061334976367576,
      0.16918498093669837,
      0.16777191447526105,
      0.16637398215532212,
      0.16499101786365475,
      0.16362285743916002,
      0.16226933856443726,
      0.16093030087282195,
      0.1596055858197348,
      0.15829503675673065,
      0.15699849881400357,
      0.15571581890308,
      0.1544468456548533,
      0.15319142956024526,
      0.1519494227794439,
      0.15072067923640767,
      0.14950505445803144,
      0.14830240557737637,
      0.14711259142467095,
      0.14593547245203264,
      0.14477091065058703,
      0.1436187697207799,
      0.1424789147962013,
      0.14135121692838046,
      0.14023564952301001,
      0.13913223430085928,
      0.13804094539241787,
      0.1369617239960645,
      0.13589448865709394,
      0.13483914242415745,
      0.13379557785865603,
      0.1327636805271229,
      0.1317433316135347,
      0.13073440958515517,
      0.12973679145268285,
      0.12875035367445697,
      0.1277749726759934,
      0.12681052537511275,
      0.12585688949847315,
      0.12491394352536084,
      0.12398156705986149,
      0.12305964095238207,
      0.12214804722827802,
      0.1212466413647283,
      0.12035523927870885,
      0.11947367307910349,
      0.11860179959892338,
      0.11773946157456101,
      0.11688647225522361,
      0.11604266513732142,
      0.1152078945248144,
      0.11438202606482652,
      0.11356489388261222,
      0.11275632401335135,
      0.11195616766943398,
      0.11116429437226454,
      0.11038058702765749,
      0.10960493864304253,
      0.10883724961163521,
      0.10807742597904497,
      0.10732537794138516,
      0.10658101915452978,
      0.10584426800860888,
      0.10511504738884289,
      0.10439328097336481,
      0.10367889289934637,
      0.10297180779307848,
      0.10227195083957381,
      0.10157924782249535,
      0.10089362529976294,
      0.10021501043192994,
      0.09954333114364292,
      0.09887851605253968,
      0.09822049447683352,
      0.09756919647729013,
      0.09692455285754159,
      0.0962864951859829,
      0.09565495564878565,
      0.09502986713422235,
      0.09441116332582214,
      0.09379877855685469,
      0.09319264777513483,
      0.09259270677112488,
      0.09199889186827657,
      0.0914111400989184,
      0.0908293891090237,
      0.09025357719903272,
      0.08968364342421299,
      0.0891195273670463,
      0.08856116925540279,
      0.08800850991707154,
      0.08746149084507052,
      0.08692005414463401,
      0.08638414252042696,
      0.08585369921519928,
      0.08532866815403344,
      0.08480899386835719,
      0.08429462135879416,
      0.08378549623955839,
      0.08328156468155017,
      0.08278277347220402,
      0.08228906987699354,
      0.08180040172562605,
      0.08131671741428977,
      0.08083796585934071,
      0.08036409650669747,
      0.0798950298322826,
      0.0794306294223693,
      0.07897075334342611,
      0.07851528742009074,
      0.07806413779499481,
      0.0776172255457737,
      0.07717448288038184,
      0.07673585037455119,
      0.07630127472511007,
      0.07587070720462004,
      0.07544410251858213,
      0.07502141805759172,
      0.07460261329363355,
      0.0741876492096788,
      0.0737764880660955,
      0.07336909315909897,
      0.07296542852617544,
      0.07256545897219449,
      0.07216914972001838,
      0.07177646661311558,
      0.0713873760659388,
      0.07100184468892048,
      0.0706198396553415,
      0.07024132844058606,
      0.06986627876600716,
      0.069494658810995,
      0.06912643696874785,
      0.06876158201956853,
      0.068400062997074,
      0.06804184928429544,
      0.06768691055860705,
      0.06733521677896817,
      0.06698673812351552,
      0.0666414450200872,
      0.0662993082699759,
      0.0659602989154392,
      0.06562438825770692,
      0.06529154791093818,
      0.06496174971096774,
      0.06463496570460092,
      0.06431116819997582,
      0.06399032985623307,
      0.0636724234721441,
      0.06335742440167666,
      0.06304532381907278,
      0.06273611754435632,
      0.062429795145231885,
      0.062126341605470474,
      0.06182573872648964,
      0.06152796604244555,
      0.06123300140868089,
      0.060940821621538854,
      0.060651402811603465,
      0.06036472059555884,
      0.060080750334418155,
      0.05979946729847011,
      0.05952084674885029,
      0.059244863936803685,
      0.05897149415350041,
      0.05870071278648345,
      0.05843249550370763,
      0.05816681811084148,
      0.05790365661946176,
      0.05764298725838989,
      0.057384786403217924,
      0.057129030684772084,
      0.056875696847033155,
      0.05662476194911094,
      0.05637620325661845,
      0.05612999821675111,
      0.05588612455483078,
      0.0556445601458874,
      0.05540528308759307,
      0.055168271703808495,
      0.05493350448550554,
      0.05470096010219,
      0.0544706175254832,
      0.05424245580385412,
      0.05401645429587268,
      0.05379259258636368,
      0.05357085033681183,
      0.05335120744124816,
      0.05313364400192581,
      0.05291814025482517,
      0.05270467670876148,
      0.05249323401519097
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786761975433468,
      10.571860721312909,
      10.348894698994739,
      10.12030674302167,
      9.888289198242443,
      9.654786318061616,
      9.421514584941159,
      9.189968148717266,
      8.961441931126068,
      8.737015731145055,
      8.517539349669944,
      8.303625002614602,
      8.095652777843053,
      7.893787333939929,
      7.698003473480444,
      7.508117807740527,
      7.3238199367167995,
      7.144704495215928,
      6.970301841237245,
      6.8001057325211,
      6.633597441774936,
      6.470266199006724,
      6.30962612747103,
      6.151230006417259,
      5.994680244711924,
      5.839637439246521,
      5.685818197883959,
      5.532993618330487,
      5.381008860468097,
      5.229774507674208,
      5.07926889550789,
      4.92954551777635,
      4.780725814621808,
      4.632983654989365,
      4.486552558071421,
      4.341721452244444,
      4.198824623615734,
      4.058226608075641,
      3.920310320724446,
      3.78547187692011,
      3.654108152684357,
      3.5266069452500015,
      3.40333491711814,
      3.284619206570774,
      3.1707399881084988,
      3.0619276449918975,
      2.9583636678091283,
      2.8601787913466197,
      2.767449211933999,
      2.680187251731994,
      2.598353774123717,
      2.5218702968628715,
      2.4506218680927545,
      2.384441610932204,
      2.323098666670664,
      2.2663163829937165,
      2.2137717521682485,
      2.165096369472625,
      2.1198910597960388,
      2.077740781897584,
      2.0382636500478024,
      2.001084997732635,
      1.9658489601475893,
      1.9322692127401364,
      1.900121795279214,
      1.8692295763314053,
      1.8394506098186068,
      1.8106706644121722,
      1.7827942908024388,
      1.755741327722632,
      1.7294438913820265,
      1.703846805395863,
      1.6789045229687953,
      1.6545787378137098,
      1.6308366386925535,
      1.6076496309163029,
      1.584992396562806,
      1.5628422027810047,
      1.5411784493129517,
      1.5199819665283498,
      1.4992348805384634,
      1.4789202374738355,
      1.4590220533617264,
      1.4395253895781992,
      1.4204162146777897,
      1.401681295857214,
      1.3833081126906936,
      1.3652849651728662,
      1.3476013464098349,
      1.330247196284939,
      1.313212729597002,
      1.2964884635029839,
      1.2800652326031783,
      1.2639341947358644,
      1.2480868301316852,
      1.232514937939006,
      1.2172106280183206,
      1.2021663120451045,
      1.1873746930674036,
      1.172828753976107,
      1.1585217867376787,
      1.1444478522143606,
      1.1306019467763038,
      1.116979796695131,
      1.1035771040524534,
      1.09038930965327,
      1.0774117207614196,
      1.064639600273601,
      1.0520682284140754,
      1.0396929442795861,
      1.0275091725055223,
      1.0155124421862174,
      1.003698397997746,
      0.9920628056459133,
      0.9806015543098044,
      0.9693106577776298,
      0.9581862526591193,
      0.947224595816525,
      0.9364220618784742,
      0.9257751395624001,
      0.9152804278664244,
      0.9049346326282964,
      0.8947345623201528,
      0.884677124638643,
      0.8747593225511621,
      0.8649782508959837,
      0.8553310924970371,
      0.8458151151936317,
      0.8364276683343574,
      0.8271661799811999,
      0.818028153573564,
      0.8090111651921436,
      0.8001128523891728,
      0.791330581313368,
      0.7826613148976175,
      0.7741022392434926,
      0.7656508028893819,
      0.7573046575355358,
      0.7490616147703153,
      0.7409199501064896,
      0.7328789511298824,
      0.7249380745364984,
      0.7170964265724287,
      0.7093528812176733,
      0.7017061607152366,
      0.6941548931786322,
      0.6866976519449678,
      0.6793329832029958,
      0.6720594248813162,
      0.6648755197609942,
      0.6577798243600154,
      0.6507709147193274,
      0.6438473903115636,
      0.6370078762470573,
      0.6302510249620902,
      0.6235755168435246,
      0.6169800603608199,
      0.6104633916618928,
      0.6040244889166654,
      0.5976631023510153,
      0.5913788942258074,
      0.5851712703700079,
      0.579039465374786,
      0.5729826021937279,
      0.566999733004031,
      0.5610898675151789,
      0.555251992964201,
      0.5494850877225327,
      0.5437881302926497,
      0.538160105686145,
      0.5326000096414006,
      0.5271068512841492,
      0.5216796549049925,
      0.5163174613734434,
      0.5110193282049711,
      0.5057843300154395,
      0.5006115587317961,
      0.49550012336083593,
      0.4904491496745643,
      0.4854577800691826,
      0.48052517329509714,
      0.47565050390810787,
      0.47083296192583907,
      0.4660717525645077,
      0.46136609598158185,
      0.4567152266694226,
      0.4521183931886045,
      0.4475748578089212,
      0.4430838962888879,
      0.4386447974387449,
      0.43425686262063856,
      0.42991940587352556,
      0.42563175318884977,
      0.42139324241318976,
      0.41720322304104673,
      0.41306105572055735,
      0.40896611208347633,
      0.4049177744166078,
      0.40091543558232656,
      0.3969584986047138,
      0.39304637668421116,
      0.3891784926243544,
      0.38535427873959643,
      0.3815731766588297,
      0.37783463728046596,
      0.3741381202692616,
      0.37048309403586566,
      0.36686903546165567,
      0.36329542980279567,
      0.35976177041691854,
      0.3562675585926168,
      0.3528123034571183,
      0.34939545537844385,
      0.3460162935164202,
      0.3426741407767414,
      0.3393683950036919,
      0.3360985086579725,
      0.33286397467639445,
      0.32966431622326836,
      0.3264990795219084,
      0.3233678288115697,
      0.32027014262420234,
      0.31720561121494883,
      0.31417383479435235,
      0.31117442214920854,
      0.30820698950809533,
      0.30527116016898836,
      0.3023665636543994,
      0.2994929533467597,
      0.2966502360756346,
      0.29383826282311115,
      0.29105682258703774,
      0.2883056623567907,
      0.2855845007125431,
      0.28289303759215195,
      0.2802309612032071,
      0.27759795283198646,
      0.2749936902411489,
      0.27241785003832764,
      0.26987010943203155,
      0.2673501470378084,
      0.26485764395975564,
      0.2623922848838315,
      0.2599538003107706,
      0.2575419470899363,
      0.25515646447041646,
      0.25279708063708983,
      0.2504635170430957,
      0.24815549153826727,
      0.24587273400114198,
      0.24361505351639512,
      0.24138227764433293,
      0.23917417469884858,
      0.23699045656780504,
      0.23483083432107565,
      0.23269502474331966,
      0.23058274953575758,
      0.22849373483564822,
      0.2264277108865939,
      0.22438441189684374,
      0.22236357581788044,
      0.22036494417035285,
      0.21838826190342298,
      0.21643327741516719,
      0.2144997421737614,
      0.21258741091852817,
      0.2106960416649542,
      0.20882539539998834,
      0.20697523607683385,
      0.20514533073167648,
      0.20333543684099398,
      0.20154527430650973,
      0.19977457248242322,
      0.1980230782768317,
      0.19629055184581035,
      0.19457676344107813,
      0.19288149124756043,
      0.19120451971852667,
      0.1895456386187304,
      0.18790464198301107,
      0.18628132757190113,
      0.18467549655510124,
      0.18308695321795784,
      0.18151550463910693,
      0.17996096046548618,
      0.17842313284746536,
      0.17690183648284225,
      0.17539688832494926,
      0.1739081076153857,
      0.17243531566886597,
      0.1709783360328301,
      0.16953699437387929,
      0.1681111183830622,
      0.16670053785901154,
      0.16530508455528004,
      0.16392459226290232,
      0.16255889669502188,
      0.16120783542870523,
      0.15987124795367405,
      0.15854897573354523,
      0.15724086201195714,
      0.15594675185363216,
      0.15466649210154834,
      0.15339993135255475,
      0.15214691998287147,
      0.15090731005832916,
      0.14968095538987108,
      0.14846771141001347,
      0.14726743527723107,
      0.14607998572470324,
      0.14490522315624368,
      0.14374300955637814,
      0.14259320839303202,
      0.1414557529503947,
      0.14033066402898245,
      0.13921792844637848,
      0.13811749545487875,
      0.13702928828693775,
      0.13595321232963314,
      0.13488916085047398,
      0.13383701913639248,
      0.13279666713765667,
      0.1317679816837218,
      0.13075083773184107,
      0.12974510948703605,
      0.12875067097108708,
      0.1277673965905708,
      0.1267951612981623,
      0.12583384102282458,
      0.12488331268956589,
      0.12394345443338695,
      0.12301414560713352,
      0.1220952668320446,
      0.12118669241650167,
      0.12028825132711975,
      0.11939977137881808,
      0.11852110174657528,
      0.11765209932370262,
      0.11679258526277261,
      0.11594237563835941,
      0.11510131198553855,
      0.1142692543520101,
      0.1134460651105566,
      0.1126315702437678,
      0.11182560361762058,
      0.11102802203023604,
      0.11023869911155335,
      0.1094575207833384,
      0.10868438212791844,
      0.10791918507468407,
      0.10716183678052156,
      0.10641224839933788,
      0.10567033413387554,
      0.1049360120480753,
      0.10420920528952905,
      0.10348983806344797,
      0.10277783479215163,
      0.10207312033674079,
      0.10137562011214603,
      0.10068526016590093,
      0.10000196715115006,
      0.09932566832702812,
      0.09865629169500997,
      0.09799376597869978,
      0.0973380205936842,
      0.09668898565803682,
      0.09604659192260206,
      0.09541077102799882,
      0.09478145524337124,
      0.0941585775318331,
      0.09354207155467634,
      0.09293187168468897,
      0.0923279129712427,
      0.09173013119037943,
      0.09113846280227289,
      0.09055284478391551,
      0.08997321487090844,
      0.08939951145214065,
      0.08883167349232424,
      0.08826964066027446,
      0.08771335323702761,
      0.08716275213457528,
      0.08661777892312467,
      0.08607837574002147,
      0.08554448528351563,
      0.08501605090392786,
      0.0844930165764271,
      0.08397532681898735,
      0.08346292670765072,
      0.0829557618812194,
      0.08245377861166049,
      0.08195692362890011,
      0.08146514427143431,
      0.08097838845823069,
      0.08049660464050332,
      0.08001974181583364,
      0.0795477494266978,
      0.07908057597979856,
      0.07861811325639309,
      0.07816020858189733,
      0.07770673564554906,
      0.07725759167354457,
      0.07681269126064656,
      0.07637196195517476,
      0.07593534076232511,
      0.07550277181386125,
      0.07507420458990043,
      0.07464959251790944,
      0.07422889196538703,
      0.07381206159393629,
      0.07339906201789996,
      0.07298985509530259,
      0.0725844037738798,
      0.07218267197631886,
      0.07178462444775548,
      0.07139022638391058,
      0.07099944360173982,
      0.070612242400624,
      0.07022858951129829,
      0.06984845204328559,
      0.0694717973955876,
      0.06909859348983624,
      0.06872880848047172,
      0.06836241086976938,
      0.06799936943026891,
      0.06763965318231666,
      0.06728323158862355,
      0.0669300743403709,
      0.06658015139874934,
      0.06623343300234284,
      0.06588988972968783,
      0.06554949230240258,
      0.06521221177050002,
      0.064878019568333,
      0.06454688733710537,
      0.0642187901046511,
      0.0638937202636113,
      0.06357167262162416,
      0.06325263566000713,
      0.06293659321976303,
      0.0626235259687511,
      0.062313412233073434,
      0.062006228711127445,
      0.06170195105081325,
      0.06140055418746241,
      0.06110201259300931,
      0.06080630043094477,
      0.060513391808984775,
      0.060223260722777415,
      0.05993588121854089,
      0.059651227575200895,
      0.05936927420417679,
      0.059089995581499286,
      0.05881336646332529,
      0.05853936171764226,
      0.05826795642984978,
      0.05799912595842044,
      0.05773284585158643,
      0.05746909188240363,
      0.05720784006246383,
      0.05694906667894182,
      0.05669274813200293,
      0.056438861097375996,
      0.05618738247667126,
      0.05593828939644231,
      0.05569155914116874,
      0.055447169274730396,
      0.055205097492270046,
      0.054965321829141246,
      0.054727820428815833,
      0.054492571689893625,
      0.05425955420714352,
      0.05402874679623825,
      0.053800128477905475,
      0.0535736783990128,
      0.05334937598678702,
      0.05312720087156742,
      0.052907132801004564,
      0.05268915175495731,
      0.05247323792779754,
      0.052259371679721604,
      0.05204753353952019,
      0.05183770422397741
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786744800301854,
      10.571805506080146,
      10.348785280415026,
      10.120131408982896,
      9.88804054470154,
      9.654460049091842,
      9.421108957391217,
      9.189483139175191,
      8.96087870480554,
      8.73637606605198,
      8.516825345070785,
      8.302838817286815,
      8.094796414323323,
      7.892862478733851,
      7.6970113973696,
      7.507059318077355,
      7.322695367564277,
      7.143513746430696,
      6.969044447619516,
      6.798780957567628,
      6.632204392502998,
      6.468803948833409,
      6.308093848232058,
      6.149627100578094,
      5.993006478385557,
      5.8378930723611875,
      5.684003794793764,
      5.53111053363396,
      5.379059416178479,
      5.227762035069674,
      5.077197674901847,
      4.927420816569397,
      4.778553682130519,
      4.630771034638071,
      4.48430733322725,
      4.339452337718587,
      4.196541019104601,
      4.05593873281448,
      3.9180288327436696,
      3.7832075298305687,
      3.6518715826818,
      3.5244088790177552,
      3.4011855336184227,
      3.2825277278316984,
      3.1687145527414615,
      3.0599751664559944,
      2.9564898614966633,
      2.8583879257442053,
      2.7657437409198558,
      2.678568192895014,
      2.596821235228065,
      2.5204235570243365,
      2.449259110062486,
      2.38315889720456,
      2.3218902381988746,
      2.2651753880139585,
      2.212690211131289,
      2.1640656136519234,
      2.1189019438501173,
      2.0767843852760595,
      2.0373320554274406,
      2.000170378911447,
      1.964944725272042,
      1.931370444376951,
      1.899224816912529,
      1.8683315907364626,
      1.838549528416559,
      1.8097648045892645,
      1.7818821602612818,
      1.7548218759561243,
      1.7285163992495853,
      1.7029107942246393,
      1.6779596888998956,
      1.65362490355889,
      1.6298737180222471,
      1.6066776019797502,
      1.5840112839324902,
      1.561852064282502,
      1.540179270509492,
      1.5189737463682487,
      1.4982176145291557,
      1.4778938869269116,
      1.4579866269997899,
      1.4384809299435806,
      1.4193627875716432,
      1.40061898326883,
      1.3822370076919903,
      1.3642052054525986,
      1.3465130823014848,
      1.3291505679461268,
      1.312107869341701,
      1.2953754972910216,
      1.2789442812950207,
      1.2628053745505947,
      1.2469502538312909,
      1.2313707150085522,
      1.2160588651114757,
      1.2010071130828612,
      1.1862081593449023,
      1.1716549850389197,
      1.1573409563877832,
      1.143260337283078,
      1.129408121563346,
      1.1157800012271746,
      1.1023716036566484,
      1.089178315649154,
      1.0761954056884138,
      1.0634181089442123,
      1.0508416850591507,
      1.0384614583880445,
      1.0262728434664092,
      1.0142713617734807,
      1.0024526519721708,
      0.9908124752895444,
      0.979346717997057,
      0.9680513912627284,
      0.956922629657109,
      0.9459566886242946,
      0.9351499415784466,
      0.9244988761660597,
      0.9140000907025542,
      0.9036502900611948,
      0.8934462820686002,
      0.8833849738829223,
      0.8734633678784756,
      0.8636785580845242,
      0.8540277268506227,
      0.8445081414601693,
      0.8351171509213828,
      0.8258521826034895,
      0.8167107396037702,
      0.8076903976472709,
      0.7987887932474874,
      0.7900032161822583,
      0.7813306171311826,
      0.7727682064677328,
      0.7643134502426344,
      0.755964012421159,
      0.7477177801461291,
      0.7395733839654856,
      0.7315302568407319,
      0.7235876870688026,
      0.7157446629286558,
      0.7079999751438558,
      0.7003522877364267,
      0.6928001875010993,
      0.6853422187056335,
      0.67797690688719,
      0.6707027754853666,
      0.6635183570970229,
      0.6564222008978109,
      0.6494128777612873,
      0.6424889836859842,
      0.6356491412693359,
      0.628892001074823,
      0.6222162420899148,
      0.6156205716671508,
      0.6091037253118805,
      0.602665024793125,
      0.5963042727233392,
      0.5900210054793128,
      0.5838145412408879,
      0.5776840534534284,
      0.5716286222140041,
      0.5656472698754261,
      0.5597389854608856,
      0.5539027417098005,
      0.548137506670799,
      0.5424422515369617,
      0.5368159563304582,
      0.5312576130524379,
      0.5257662284502516,
      0.520340825194435,
      0.5149804427704396,
      0.5096841377878392,
      0.5044509845513485,
      0.49928007434753646,
      0.49417051566204295,
      0.4891214340597769,
      0.48413197178174655,
      0.4792012873154022,
      0.47432855496552745,
      0.46951296460520114,
      0.46475372135493564,
      0.46005004496251467,
      0.45540116980037887,
      0.4508063443632522,
      0.4462648307507397,
      0.4417759044914786,
      0.43733885420176105,
      0.43295298107980595,
      0.42861759892275614,
      0.4243320336768202,
      0.42009562287655206,
      0.4159077157113886,
      0.41176767272941256,
      0.40767486530602115,
      0.4036286756659359,
      0.3996284963923916,
      0.3956737303129127,
      0.3917637903307966,
      0.38789809912699835,
      0.3840760887323235,
      0.3802972006059684,
      0.3765608853316981,
      0.3728666024151718,
      0.3692138199790298,
      0.3656020147125509,
      0.36203067161840563,
      0.35849928378570034,
      0.35500735244452125,
      0.35155438646279313,
      0.3481397442038163,
      0.34476269301560014,
      0.34142258777509,
      0.338118848809911,
      0.3348509444159249,
      0.33161837855236104,
      0.32842068209376585,
      0.32525740657763247,
      0.32212811978871936,
      0.31903240293694635,
      0.3159698479298686,
      0.3129400559901898,
      0.30994263653262344,
      0.3069772063219963,
      0.30404338871898495,
      0.3011408217854238,
      0.2982693267938211,
      0.2954288113195303,
      0.2926191025389644,
      0.28983997262597117,
      0.28709115639907873,
      0.2843723637921729,
      0.2816832886969285,
      0.2790236148580757,
      0.2763930205368923,
      0.2737911811959045,
      0.2712177717681519,
      0.2686724681631474,
      0.26615494801570705,
      0.2636648916474145,
      0.2612019959602241,
      0.2587660097715886,
      0.2563566797584423,
      0.25397373797698186,
      0.25161690745059767,
      0.24928590592139058,
      0.24698044856911439,
      0.24470031627964753,
      0.24244534257423636,
      0.24021532580009178,
      0.23800999465590372,
      0.2358290511558172,
      0.23367220462650948,
      0.23153917043854208,
      0.22942966918828422,
      0.22734342621229012,
      0.22528017112589777,
      0.2232396376907425,
      0.22122156348869945,
      0.21922568974497358,
      0.21725176113459482,
      0.21529952574952196,
      0.21336873501036052,
      0.21145914347151212,
      0.20957050891376341,
      0.2077025921520168,
      0.2058551570157521,
      0.2040279704132778,
      0.20222076873580083,
      0.20043326885590979,
      0.19866520732395956,
      0.1969163362373537,
      0.19518641928398842,
      0.19347522916287455,
      0.19178254573503734,
      0.1901081547206223,
      0.18845184660607334,
      0.18681341602464802,
      0.18519266114996424,
      0.18358938339294206,
      0.18200338715951248,
      0.18043447955331926,
      0.17888247021387052,
      0.1773471713400077,
      0.17582839745350023,
      0.17432596542400172,
      0.1728396943734871,
      0.17136940549832494,
      0.16991492236757225,
      0.1684760705164891,
      0.16705267760526685,
      0.16564457339306204,
      0.16425158956588917,
      0.16287355967814685,
      0.16151031935424853,
      0.16016170615930236,
      0.15882755946924648,
      0.15750772063293533,
      0.15620203284108303,
      0.15491034103290208,
      0.15363249200520598,
      0.15236833425365529,
      0.15111771806120283,
      0.14988049545826815,
      0.14865652007415847,
      0.147445647317905,
      0.14624773426562607,
      0.145062639629848,
      0.1438902237146772,
      0.14273037679560663,
      0.14158310560116757,
      0.14044841307391306,
      0.13932625889748437,
      0.13821657269486243,
      0.1371192634120255,
      0.13603422588590539,
      0.13496134549300617,
      0.13390050146312962,
      0.1328515691444687,
      0.13181442160390933,
      0.13078893081078855,
      0.12977496837661182,
      0.12877240610835497,
      0.12778111632629885,
      0.12680097229138773,
      0.12583184836826217,
      0.12487361988031577,
      0.12392616345777098,
      0.1229893569891006,
      0.12206307966613472,
      0.12114721563264037,
      0.1202416240386108,
      0.11934612557085385,
      0.11846055638574145,
      0.11758476955273811,
      0.11671860955755907,
      0.11586188535290613,
      0.11501442346922666,
      0.11417607292839639,
      0.11334669914772223,
      0.11252615762905553,
      0.11171427205711064,
      0.11091088321461218,
      0.11011585279240194,
      0.10932905793195355,
      0.10855038716334758,
      0.10777973746831666,
      0.10701701225379606,
      0.1062621196426075,
      0.10551497152640348,
      0.10477548273477749,
      0.10404357113747587,
      0.10331915970540778,
      0.10260217313283065,
      0.1018925362923578,
      0.10119017433750349,
      0.10049501284420187,
      0.09980697804912281,
      0.09912599667046662,
      0.09845199609952339,
      0.09778490437193688,
      0.09712465026838432,
      0.09647116329721546,
      0.0958243736225525,
      0.0951842122427641,
      0.0945506107776106,
      0.09392350153111881,
      0.09330281743627893,
      0.09268849224995515,
      0.09208046040107273,
      0.09147865696837777,
      0.09088301768610499,
      0.09029347902214518,
      0.08970997804238554,
      0.08913245253198193,
      0.08856084089003456,
      0.08799508221756148,
      0.08743511622987915,
      0.08688088324124678,
      0.08633232415813184,
      0.08578938060827584,
      0.08525199477326798,
      0.08472010944609885,
      0.0841936680081537,
      0.08367261448469915,
      0.08315689337394114,
      0.0826464497830188,
      0.08214122940087794,
      0.08164117856894657,
      0.08114624415679492,
      0.08065637350984572,
      0.08017151455806436,
      0.07969161581223481,
      0.07921662629217521,
      0.07874649556544233,
      0.07828117221740749,
      0.07782057133093138,
      0.0773645757662672,
      0.07691305073417175,
      0.07646588002212121,
      0.07602296837268598,
      0.0755842359996795,
      0.07514961459548108,
      0.0747190444199806,
      0.07429247214163004,
      0.07386984911048106,
      0.07345113029186576,
      0.07303627334148984,
      0.07262523790698797,
      0.07221798530007888,
      0.07181447815576852,
      0.07141468005876185,
      0.07101855546597623,
      0.07062606958806815,
      0.07023718804465869,
      0.06985187708105767,
      0.06947010342461908,
      0.06909183421320653,
      0.06871703694403956,
      0.06834567946860544,
      0.06797772990619283,
      0.06761315677450933,
      0.06725192896962225,
      0.06689401555603344,
      0.06653938601562133,
      0.06618801014843181,
      0.06583985789801199,
      0.06549489952108543,
      0.06515310765933562,
      0.06481447207894558,
      0.06447898823359724,
      0.06414664473025061,
      0.06381742511806343,
      0.06349130946573044,
      0.06316827539734762,
      0.06284829872414431,
      0.06253135411407161,
      0.062217415374735144,
      0.061906455873285055,
      0.06159844869990915,
      0.06129336682406525,
      0.060991183084596064,
      0.06069187049123777,
      0.06039540201768438,
      0.06010175084640374,
      0.05981089042317853,
      0.05952279431555939,
      0.059237436307176185,
      0.058954790295586014,
      0.05867483057871179,
      0.05839753157645423,
      0.058122868004864575,
      0.05785081475823922,
      0.05758134699593941,
      0.05731444014101052,
      0.057050069771560054,
      0.056788211761099265,
      0.05652884215260245,
      0.05627193723044005,
      0.056017473625232565,
      0.05576542807629131,
      0.05551577756371025,
      0.055268499250363055,
      0.05502357053272889,
      0.054780968997202334,
      0.05454067252993563,
      0.05430265920509187,
      0.05406690721843469,
      0.05383339510114674,
      0.053602101534357086,
      0.05337300541221385,
      0.05314608580403975,
      0.05292132195529273,
      0.052698693397462776,
      0.05247817986810888,
      0.05225976117459477,
      0.05204341739505622,
      0.051829128762431974,
      0.051616875727268016,
      0.05140663895140134,
      0.051198399251368674
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786727797282328,
      10.571750861523627,
      10.348677004387454,
      10.119957922879454,
      9.887794542169352,
      9.654137300677041,
      9.420707735805582,
      9.189003423267,
      8.96032167681371,
      8.735743512816281,
      8.516119367920682,
      8.30206157418311,
      8.093949905829318,
      7.891948388279628,
      7.696030992924273,
      7.5060134074368206,
      7.321584287313848,
      7.1423374006978415,
      6.967802380234272,
      6.797472447411064,
      6.630828563656263,
      6.467359894279399,
      6.306580758317436,
      6.148044396483324,
      5.991353942997179,
      5.836170977825129,
      5.682212715940367,
      5.529251831803096,
      5.377135412274882,
      5.225776051015879,
      5.075153969116828,
      4.925324621649761,
      4.776411000280248,
      4.628588748952998,
      4.482093253204598,
      4.337215089536197,
      4.194289899976478,
      4.053683845292466,
      3.915780707408915,
      3.78097678510678,
      3.6496687379931982,
      3.522244532111932,
      3.399069708662903,
      3.2804694985613105,
      3.1667219192853597,
      3.0580549167813595,
      2.9546475991340446,
      2.8566276402378716,
      2.7640678303538992,
      2.6769776365049434,
      2.5953161140531056,
      2.519003134410843,
      2.447921585253586,
      2.381900346900903,
      2.320704925291786,
      2.264056498962112,
      2.2116298357460673,
      2.163055169362819,
      2.1179323292671635,
      2.0758467358567447,
      2.036418570010542,
      1.9992733498735769,
      1.964057652049975,
      1.9304884802880586,
      1.8983443499841355,
      1.8674498746631722,
      1.8376645145396993,
      1.8088748411432944,
      1.780985779876501,
      1.753918048194469,
      1.7276044213617412,
      1.7019902007845729,
      1.677030186236991,
      1.65268632262614,
      1.6289259793915734,
      1.6057206904369703,
      1.583045229867345,
      1.560876929511297,
      1.5391950943479353,
      1.5179805171614413,
      1.497215298470912,
      1.476882448539816,
      1.4569660782579734,
      1.4374513158382967,
      1.4183241762848713,
      1.39957145907553,
      1.3811806658797323,
      1.3631401865435302,
      1.3454395378191144,
      1.3280686401155612,
      1.3110176922305272,
      1.294277198532916,
      1.2778379831209892,
      1.2616911949396121,
      1.2458283067101983,
      1.2302411109226863,
      1.2149217117033784,
      1.199862515377664,
      1.1850562203495207,
      1.1704958055350412,
      1.1561748084980066,
      1.142087608505509,
      1.1282291551771835,
      1.1145951124610276,
      1.101181040230237,
      1.0879822764926261,
      1.074994055017565,
      1.062211585556703,
      1.0496301097612863,
      1.0372449383392282,
      1.0250514762954825,
      1.0130452380467985,
      1.0012218570851141,
      0.9895770906826258,
      0.9781068220027025,
      0.9668070599402032,
      0.9556739371080106,
      0.9447037078060253,
      0.9338927442444341,
      0.9232375329488515,
      0.9127346711876615,
      0.9023808632078786,
      0.8921729161643286,
      0.8821077364890626,
      0.8721823259708943,
      0.8623937781853702,
      0.8527392749995873,
      0.8432160829739663,
      0.8338215506529603,
      0.8245531048875866,
      0.8154082480415307,
      0.8063845555944681,
      0.79747966302295,
      0.7886907848992388,
      0.7800148601495641,
      0.771449123154647,
      0.7629910569050157,
      0.7546383377673165,
      0.7463890421805714,
      0.7382421398537179,
      0.7301970405683061,
      0.7222528852456473,
      0.7144085588810145,
      0.70666277925157,
      0.6990141588605762,
      0.6914612481285243,
      0.6840025656827166,
      0.6766366190957325,
      0.6693619191680046,
      0.662176989585819,
      0.6550803733153249,
      0.6480706366516699,
      0.6411463719874436,
      0.6343061997256887,
      0.627548768791682,
      0.6208727569761433,
      0.6142768707115626,
      0.6077599762782425,
      0.6013216831753803,
      0.5949617027342096,
      0.5886794663359138,
      0.5824742187572436,
      0.5763450824407319,
      0.5702911016397783,
      0.5643112735504898,
      0.558404569661323,
      0.5525699505208354,
      0.5468063757564301,
      0.5411128107037831,
      0.5354882310975588,
      0.5299316261734833,
      0.5244420006296808,
      0.5190183755855078,
      0.5136597893587896,
      0.508365297941793,
      0.5031339748500894,
      0.4979649110610607,
      0.49285721473953886,
      0.48781001108454725,
      0.4828224420963194,
      0.47789366596109434,
      0.4730228568179162,
      0.4682092044010925,
      0.4634519136363491,
      0.4587502042429683,
      0.45410331036888774,
      0.44951048026002655,
      0.4449709758127233,
      0.44048407234078724,
      0.4360490582787451,
      0.4316652347976297,
      0.42733191533328185,
      0.4230484255882103,
      0.4188141030921926,
      0.41462829688258507,
      0.4104903671518266,
      0.406399685066502,
      0.4023556325806933,
      0.39835760204128673,
      0.3944049961198876,
      0.39049722746128757,
      0.38663371840577904,
      0.3828139009123763,
      0.37903721627693865,
      0.37530311479861705,
      0.3716110556739757,
      0.3679605068399915,
      0.3643509448432641,
      0.3607818543536984,
      0.3572527281874408,
      0.35376306725531215,
      0.35031233603344314,
      0.34689982272115,
      0.3435248278771494,
      0.34018673163222507,
      0.3368849720441271,
      0.3336190299664702,
      0.3303884180591547,
      0.3271926732905341,
      0.3240313513916055,
      0.320904023089487,
      0.31781027135718126,
      0.3147496894278361,
      0.31172187940233376,
      0.30872645112693814,
      0.3057630215671159,
      0.3028312143060531,
      0.2999307040664702,
      0.2970613661293106,
      0.2942230800578307,
      0.29141565329156055,
      0.288638844040154,
      0.2858923772996718,
      0.2831759559489897,
      0.2804892686480017,
      0.2778319955593461,
      0.2752038121183555,
      0.2726043917821202,
      0.2700334080349316,
      0.2674905356324915,
      0.2649754515102484,
      0.26248783525700475,
      0.26002740681775666,
      0.25759391899137524,
      0.2551871094243293,
      0.25280670380179177,
      0.25045242062113526,
      0.24812397422513685,
      0.24582111134704954,
      0.24354365704891004,
      0.24129142537085366,
      0.2390641778373843,
      0.23686161680083906,
      0.23468344311820363,
      0.23252936512849823,
      0.23039909740621983,
      0.228292360002948,
      0.22620887786905058,
      0.224148380300605,
      0.2221106006900091,
      0.22009527641350846,
      0.21810214844900846,
      0.21613096125648015,
      0.21418146276886205,
      0.21225340420022437,
      0.21034653993807204,
      0.20846062759610218,
      0.20659542792207966,
      0.20475070459894726,
      0.20292621473257602,
      0.20112167858897914,
      0.19933682000610475,
      0.19757138123316595,
      0.19582511827687923,
      0.19409779769708385,
      0.19238919411360508,
      0.19069908868181115,
      0.18902726807369724,
      0.18737352341332641,
      0.18573764971002782,
      0.1841194453288542,
      0.1825187119039737,
      0.18093525384181214,
      0.17936887826517636,
      0.17781939477414482,
      0.17628661554511915,
      0.17477035510656966,
      0.17327043018514948,
      0.17178665971087168,
      0.17031886490469228,
      0.16886686920784297,
      0.16743049812837033,
      0.16600957917029027,
      0.16460394194010966,
      0.16321341800544362,
      0.16183784092452433,
      0.1604770462119186,
      0.15913087141198706,
      0.1577991557203079,
      0.15648174048178728,
      0.15517846866455662,
      0.15388918524265008,
      0.15261373691648078,
      0.1513519720870865,
      0.150103741013655,
      0.14886889559506852,
      0.1476472894559624,
      0.146438777859644,
      0.14524321786199149,
      0.14406046950071913,
      0.1428904985552364,
      0.14173332862517854,
      0.1405889327214886,
      0.13945724880298535,
      0.13833819069484812,
      0.13723165580911115,
      0.13613753038985926,
      0.13505569328957184,
      0.1339860186984858,
      0.1329283779198604,
      0.13188264071972786,
      0.13084867642226317,
      0.1298263542132178,
      0.12881554379892343,
      0.12781611569727555,
      0.12682794141669781,
      0.125850893581148,
      0.12488484602040599,
      0.12392967392185894,
      0.12298525377667022,
      0.12205146832288002,
      0.12112820662953766,
      0.1202153471091063,
      0.11931271732735774,
      0.11842013930832573,
      0.11753745585264119,
      0.11666452448156668,
      0.11580117053989646,
      0.11494720291350706,
      0.11410245776185994,
      0.11326679097513162,
      0.11244007292512467,
      0.111622150616155,
      0.1108128485481985,
      0.11001201359835486,
      0.1092195119237759,
      0.10843522387747087,
      0.1076590403148333,
      0.10689085987551843,
      0.106130587198477,
      0.10537813135734031,
      0.10463340484689362,
      0.10389632288792791,
      0.10316680334655605,
      0.10244476901726511,
      0.10173014509070953,
      0.10102285671974312,
      0.10032282939018089,
      0.09962998888526876,
      0.09894426145497447,
      0.0982655739864326,
      0.09759385402427805,
      0.0969290297167608,
      0.09627103000619855,
      0.09561978439558064,
      0.09497522310565658,
      0.09433727700538135,
      0.0937058777865104,
      0.09308095781671329,
      0.0924624502626273,
      0.09185028888473858,
      0.09124440800634907,
      0.09064474279621737,
      0.09005122907093521,
      0.08946380330330471,
      0.08888240265200323,
      0.08830696494953603,
      0.08773742864809995,
      0.08717373289471225,
      0.0866158174310274,
      0.0860636226481269,
      0.08551708951628734,
      0.08497615963140956,
      0.08444077523212185,
      0.08391087915555452,
      0.08338641479530216,
      0.08286732616983937,
      0.0823535579261623,
      0.08184505531738215,
      0.08134176401717219,
      0.08084363036822355,
      0.08035060127396808,
      0.07986262408899303,
      0.07937964684864465,
      0.07890161809369341,
      0.07842848684347174,
      0.07796020272655625,
      0.07749671522351773,
      0.07703794085846809,
      0.07658377766421269,
      0.07613413141047677,
      0.0756888840202787,
      0.07524792520266538,
      0.07481116418966308,
      0.0743785246029623,
      0.07394994081796952,
      0.07352535518396408,
      0.07310471585408862,
      0.07268797537901621,
      0.07227508973742894,
      0.0718660174785266,
      0.07146071901436735,
      0.07105915634889064,
      0.07066129264758268,
      0.07026709203440003,
      0.06987651942747292,
      0.06948954035520757,
      0.06910612094055402,
      0.0687262278172875,
      0.06834982815342627,
      0.06797688942211116,
      0.06760737947913116,
      0.06724126650488078,
      0.06687851909419955,
      0.06651910613757264,
      0.06616299670049076,
      0.06581017353184015,
      0.06546063267020671,
      0.06511436421160022,
      0.06477135247399392,
      0.06443157771135123,
      0.06409501731251935,
      0.06376164655617217,
      0.06343143938324518,
      0.06310436874398323,
      0.06278040707821773,
      0.06245952633843111,
      0.062141698300638766,
      0.061826894702725635,
      0.06151508734445098,
      0.06120624812074871,
      0.060900349093778935,
      0.060597362435074194,
      0.0602972604986581,
      0.06000001583082971,
      0.059705601222571875,
      0.05941398968623009,
      0.05912515453496626,
      0.05883906932642182,
      0.05855570790288757,
      0.05827504424184783,
      0.05799705254849244,
      0.05772170737157763,
      0.05744898351054802,
      0.057178855907876996,
      0.05691129982482334,
      0.05664629077700731,
      0.05638380449926847,
      0.05612381691786737,
      0.05586630409799827,
      0.0556112424145798,
      0.055358608523552975,
      0.05510837929315042,
      0.05486053179645907,
      0.054615043349198186,
      0.054371891417985534,
      0.05413105374565463,
      0.053892508261094825,
      0.05365623310772427,
      0.05342220659320561,
      0.05319040727012932,
      0.05296081390321299,
      0.05273340551051182,
      0.05250816122737376,
      0.05228506045086576,
      0.052064082740251864,
      0.05184520786436973,
      0.05162841588491541,
      0.05141368687184329,
      0.05120100111495832,
      0.05099033910100025,
      0.050781681590097605,
      0.05057500952795577
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.78671100096108,
      10.571696884757714,
      10.348570033289034,
      10.11978651330479,
      9.887551497935126,
      9.653818451934395,
      9.42031139141347,
      9.188529583031906,
      8.959771530324963,
      8.73511884672732,
      8.51542227770749,
      8.301294207231276,
      8.093114252007371,
      7.891046122285312,
      7.695063375634543,
      7.504981241001688,
      7.320487907845022,
      7.141176717458829,
      6.966576947254542,
      6.796181556819344,
      6.629471356620762,
      6.465935481492895,
      6.305088349366253,
      6.146483429850074,
      5.989724217472665,
      5.834472778476574,
      5.680446631739755,
      5.527419231635366,
      5.375238616060447,
      5.223818370919566,
      5.073139641665912,
      4.923258843398377,
      4.7742997247111445,
      4.626438795819941,
      4.479912353376099,
      4.335011776495533,
      4.192073363553965,
      4.051464066707251,
      3.9135680849912347,
      3.778781796760213,
      3.6475017933725766,
      3.5201161010188287,
      3.396989650389464,
      3.2784467295224675,
      3.1647642918925234,
      3.056169086348301,
      2.952839049824613,
      2.8549002098906398,
      2.762423841141157,
      2.6754180109915477,
      2.5938408902380172,
      2.5176115460635295,
      2.446611814877127,
      2.3806684745910918,
      2.319544980662683,
      2.2629613055633926,
      2.210591454554181,
      2.16206523001813,
      2.1169819166880512,
      2.0749271768346196,
      2.035522264619408,
      1.9983927827422845,
      1.9631864860115482,
      1.9296219927143192,
      1.897479024704726,
      1.8665830399698988,
      1.8367941789033557,
      1.8079993224916453,
      1.780103665539705,
      1.7530283505870459,
      1.7267064693375451,
      1.7010835519835328,
      1.6761145646544913,
      1.651761572189002,
      1.6279920306871276,
      1.6047775360306684,
      1.5820929059622484,
      1.5599155029590066,
      1.5382246397685464,
      1.5170010423175335,
      1.4962267453461768,
      1.4758847795095642,
      1.45595930367205,
      1.436435479818399,
      1.4172993472827558,
      1.3985377219912267,
      1.3801381166558193,
      1.3620889663675708,
      1.3443797988719195,
      1.3270005245921763,
      1.3099413347857012,
      1.2931927273769297,
      1.2767455210854695,
      1.2605908603068006,
      1.2447202143121965,
      1.2291253724922915,
      1.213798436084371,
      1.1987318089496324,
      1.1839181868004152,
      1.169350630025538,
      1.1550228404147094,
      1.1409291851250325,
      1.1270645844983571,
      1.1134246844249787,
      1.1000049841626351,
      1.0868007787664253,
      1.073807270756161,
      1.0610196474966402,
      1.0484331341302835,
      1.0360430295877348,
      1.0238447302291689,
      1.011833744126961,
      1.0000056997468965,
      0.9883563509957056,
      0.9768815782519608,
      0.9655773885003213,
      0.9544399124946032,
      0.9434654029203939,
      0.9326502308627547,
      0.9219908819483403,
      0.9114839528655878,
      0.9011261470333156,
      0.8909142708262731,
      0.8808452300380599,
      0.8709160255448116,
      0.8611237503371153,
      0.8514655859652878,
      0.8419387985772162,
      0.8325407359472219,
      0.8232688243999882,
      0.8141205659067118,
      0.8050935352733178,
      0.7961853564341433,
      0.7873931749470018,
      0.7787139292473326,
      0.7701448754134071,
      0.7616835120900574,
      0.7533275595691495,
      0.7450753652591605,
      0.7369261220630884,
      0.7288791670673893,
      0.7209335086331307,
      0.7130879382199602,
      0.7053411078914028,
      0.6976915837246437,
      0.6901378835976713,
      0.6826785031043475,
      0.6753119335732349,
      0.6680366743098243,
      0.6608512406858772,
      0.65375416978824,
      0.6467440238820384,
      0.6398193927515154,
      0.6329788946552245,
      0.6262211768231145,
      0.6195449159389235,
      0.6129488174722576,
      0.6064320079372123,
      0.5999942535438957,
      0.5936351331329005,
      0.5873539860812995,
      0.5811499929162304,
      0.5750222311584458,
      0.5689697137463321,
      0.562991416066018,
      0.5570862944498919,
      0.551253298648722,
      0.5454913806368178,
      0.5397995005721404,
      0.5341766306224601,
      0.5286217574115442,
      0.523133883735445,
      0.517712029379826,
      0.5123552316049379,
      0.5070625457889324,
      0.5018330449620391,
      0.4966658196600709,
      0.49155997784490363,
      0.4865146445403992,
      0.48152896141385415,
      0.4766020863821899,
      0.4717331934987588,
      0.4669214723347594,
      0.46216612751794484,
      0.4574663786075632,
      0.45282145964679255,
      0.44823061852074986,
      0.44369311698540864,
      0.43920823019992394,
      0.4347752463731703,
      0.4303934665769246,
      0.4260622040652882,
      0.42178078427095894,
      0.4175485444618256,
      0.4133648333902729,
      0.40922901101105136,
      0.4051404483461705,
      0.4010985271660467,
      0.3971026397170984,
      0.393152188267138,
      0.3892465853085272,
      0.38538525307178934,
      0.38156762313944587,
      0.37779313654074176,
      0.3740612433875123,
      0.37037140261143947,
      0.36672308198099496,
      0.36311575766046505,
      0.3595489142026868,
      0.35602204423737377,
      0.3525346484151554,
      0.34908611274705736,
      0.3456756993381889,
      0.3423027410236459,
      0.3389666407183405,
      0.33566685238648,
      0.3324028677338302,
      0.32917420723962587,
      0.3259804130536541,
      0.32282104463706396,
      0.3196956752359938,
      0.3166038895324755,
      0.31354528189193276,
      0.31051945504861383,
      0.3075260194415161,
      0.3045645921808591,
      0.3016347967744556,
      0.29873636479655424,
      0.29586919828856145,
      0.2930331509835632,
      0.2902280121548151,
      0.2874535269812855,
      0.2847094111521152,
      0.28199536093445143,
      0.2793110603712031,
      0.27665618619463345,
      0.27403041127657285,
      0.2714334073150559,
      0.2688648463863037,
      0.26632440224548054,
      0.2638117509877235,
      0.26132658119380076,
      0.2588686320336492,
      0.25643764942574526,
      0.2540333635576427,
      0.25165549471511534,
      0.2493037574483208,
      0.24697787543999403,
      0.24467765052591658,
      0.2424029064649202,
      0.24015343296074082,
      0.23792895353847965,
      0.23572915916376075,
      0.23355375007920023,
      0.23140243409683361,
      0.22927492546293185,
      0.2271709439061856,
      0.22509021409491795,
      0.22303246513284627,
      0.22099743028203178,
      0.21898484663269696,
      0.21699445494765687,
      0.21502599950270576,
      0.21307922802471277,
      0.21115389162519982,
      0.2092497446403873,
      0.20736654447911573,
      0.20550405171969588,
      0.20366202994775126,
      0.20184021898083918,
      0.20003833312174862,
      0.19825610318626163,
      0.19649327629423485,
      0.19474961188331924,
      0.193024878847398,
      0.1913188535604806,
      0.18963131831987065,
      0.187962060572759,
      0.18631087196829071,
      0.18467754790637883,
      0.183061886932851,
      0.18146369074161064,
      0.179882763779301,
      0.17831891311238612,
      0.17677194839094268,
      0.1752416816925797,
      0.17372792751358954,
      0.1722305024616007,
      0.170749225450495,
      0.16928391757122865,
      0.16783440223624307,
      0.16640050477719887,
      0.16498205254483234,
      0.16357887503327018,
      0.16219080382027024,
      0.16081767234206615,
      0.15945931609346106,
      0.1581155723569637,
      0.15678628038919076,
      0.15547128137144803,
      0.15417041826438066,
      0.15288353578921546,
      0.1516104805859135,
      0.15035110108485483,
      0.14910524739691924,
      0.14787277134232613,
      0.14665352658018804,
      0.14544736838149763,
      0.14425420276266795,
      0.14307404712486202,
      0.14190689369950715,
      0.14075269305267182,
      0.1396113669618892,
      0.13848281736477214,
      0.13736693262815572,
      0.13626359221838402,
      0.13517266984773849,
      0.13409403558010088,
      0.13302755738729347,
      0.13197310219386307,
      0.13093053685353587,
      0.12989972845672604,
      0.1288805448224834,
      0.12787285464264037,
      0.1268765276925111,
      0.12589143505757924,
      0.12491744905907709,
      0.12395444339399246,
      0.12300229891407842,
      0.12206090220237127,
      0.121130138234767,
      0.12020989096178204,
      0.11930001012926908,
      0.11840030912115938,
      0.11751061926310573,
      0.1166307898864473,
      0.11576067189817822,
      0.11490007737563385,
      0.11404882611644195,
      0.11320676209100684,
      0.11237374680432839,
      0.11154965253020602,
      0.11073431916796067,
      0.1099275741323431,
      0.10912926937308205,
      0.10833927472515613,
      0.10755747321406217,
      0.1067837575758198,
      0.10601802794045388,
      0.10526018993184319,
      0.10451015334215068,
      0.10376783127350939,
      0.1030331393816098,
      0.10230599552944816,
      0.10158632215247752,
      0.10087404476227156,
      0.1001690888454288,
      0.09947138010202973,
      0.09878084455716286,
      0.09809740869912949,
      0.09742099952359815,
      0.09675154458598748,
      0.09608897217031295,
      0.09543321115529817,
      0.0947841911563009,
      0.09414184251706834,
      0.09350609627888201,
      0.09287688407577732,
      0.09225413833086397,
      0.09163779214409586,
      0.0910277793158189,
      0.0904240343412404,
      0.08982649238837756,
      0.08923508930386927,
      0.0886497616213007,
      0.08807044654663393,
      0.08749708197169537,
      0.08692960637545079,
      0.08636795888676477,
      0.08581207925377432,
      0.0852619079497202,
      0.08471738600093368,
      0.08417845509093681,
      0.08364505749489556,
      0.08311713611201603,
      0.08259463435673307,
      0.08207749638940497,
      0.08156566685967592,
      0.0810590909125576,
      0.08055771440962187,
      0.08006148369460757,
      0.07957034567897622,
      0.0790842478408041,
      0.07860313820953299,
      0.07812696535929235,
      0.0776556784044071,
      0.077189227012622,
      0.07672756135388352,
      0.07627060065943783,
      0.07581824310101128,
      0.07537040220020105,
      0.0749270012268954,
      0.07448794007256374,
      0.0740531111446614,
      0.07362242582803624,
      0.0731958093073355,
      0.07277319731568997,
      0.07235453315301489,
      0.07193976590796233,
      0.07152884893403849,
      0.07112173888015834,
      0.07071839477189096,
      0.07031877769060395,
      0.0699228500564112,
      0.06953057542218623,
      0.06914191838319514,
      0.0687568442330544,
      0.06837531895971984,
      0.0679973090848627,
      0.06762278164872733,
      0.06725170411396804,
      0.06688404805737978,
      0.06651980451857271,
      0.06615896705399447,
      0.0658015221133421,
      0.06544745107116394,
      0.06509673177998011,
      0.06474933951481465,
      0.06440524778690812,
      0.06406442888023497,
      0.06372685431630792,
      0.06339249512514067,
      0.06306132202220625,
      0.06273330566990462,
      0.06240841662067487,
      0.06208662555885266,
      0.06176790324060155,
      0.061452220564759116,
      0.06113954873942724,
      0.060829859061891506,
      0.060523123201276424,
      0.060219313053379436,
      0.05991840064710911,
      0.05962035827426685,
      0.05932515852148687,
      0.059032774274912436,
      0.05874317863691412,
      0.05845634489438309,
      0.05817224667874435,
      0.057890857837812476,
      0.05761215248017471,
      0.05733610500156475,
      0.057062689991473924,
      0.05679188228995837,
      0.05652365698819608,
      0.0562579893282254,
      0.05599485495629486,
      0.05573422964660175,
      0.055476089400858485,
      0.055220410443821207,
      0.05496716927366878,
      0.05471634262439126,
      0.05446790744197585,
      0.05422184085470453,
      0.05397812026539528,
      0.05373672324719516,
      0.053497627659851346,
      0.05326081144542469,
      0.053026252863560774,
      0.052793930393926596,
      0.05256382266168,
      0.052335908490960134,
      0.05211016689834359,
      0.05188657717655328,
      0.051665118714856594,
      0.05144577122078321,
      0.05122851454233586,
      0.05101332870696302,
      0.05080019399940064,
      0.05058909081150143,
      0.05037999976288521,
      0.050172901577495155,
      0.049967777307382215
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786694383566678,
      10.571643506834437,
      10.34846427846875,
      10.119617091769712,
      9.887311322406719,
      9.653503425082187,
      9.419919869150498,
      9.188061594959162,
      8.959228284537787,
      8.734502135850756,
      8.514734195598143,
      8.300536895836382,
      8.092289692802808,
      7.890155981456331,
      7.694108907081246,
      7.503963242341685,
      7.31940671623722,
      7.140032249666605,
      6.965368767415078,
      6.794908971511171,
      6.628133524037597,
      6.4645315326682145,
      6.30361751432934,
      6.144945167928878,
      5.988118344783666,
      5.832799592683894,
      5.678706733551439,
      5.525613996818186,
      5.3733703613302835,
      5.221890395828328,
      5.071156157828434,
      4.921225008577042,
      4.772221440016421,
      4.624322813389068,
      4.4777663191808985,
      4.3328441229491315,
      4.189893166105011,
      4.0492811773435875,
      3.91139276078374,
      3.7766243665213923,
      3.6453725370924945,
      3.5180253433532456,
      3.3949470810184796,
      3.276461103296134,
      3.162843310484263,
      3.054319269858259,
      2.951065762758293,
      2.853207189552104,
      2.7608133287343404,
      2.673890867214841,
      2.5923971054206705,
      2.516250318787755,
      2.445331198102804,
      2.379464561853474,
      2.3184117757921703,
      2.2618914294530263,
      2.2095769049036798,
      2.1610978049709013,
      2.1160528576464595,
      2.074027972073426,
      2.0346454023995975,
      1.9975307522296997,
      1.9623331542724567,
      1.928772792509669,
      1.8966305578599107,
      1.8657327257205794,
      1.8359400955160416,
      1.8071398157119476,
      1.7792373711702019,
      1.7521543185557462,
      1.725824057582601,
      1.700192340438849,
      1.6752142941179786,
      1.6508520999216918,
      1.6270732971392652,
      1.6038495417902912,
      1.5811556937278766,
      1.5589691453250638,
      1.5372692560834595,
      1.5160366606045412,
      1.4952532889622525,
      1.4749022044559572,
      1.4549676162303884,
      1.4354347220657178,
      1.416289586300243,
      1.397519041956164,
      1.3791106136647147,
      1.3610527818513738,
      1.3433350851175005,
      1.3259474247072347,
      1.3088799844614432,
      1.2921232561668767,
      1.2756680536039864,
      1.25950551653131,
      1.2436271102580143,
      1.228024620698085,
      1.2126901461106951,
      1.1976160878881785,
      1.1827951687850313,
      1.1682205960558483,
      1.1538861272856444,
      1.1397860957192245,
      1.1259154234186004,
      1.1122697166889974,
      1.0988444222639278,
      1.0856347970894527,
      1.0726360161786124,
      1.059843247003486,
      1.047251700413452,
      1.0348566650453543,
      1.0226535290632217,
      1.0106377946781282,
      0.9988050864591256,
      0.9871511548426462,
      0.9756718777625595,
      0.9643632598080696,
      0.9532214303935485,
      0.9422426410987524,
      0.931423261670281,
      0.9207597769178557,
      0.910248782463387,
      0.8998869809094697,
      0.8896711781074724,
      0.8795982790019364,
      0.8696652841511763,
      0.8598692858357015,
      0.8502074647495325,
      0.8406770865381387,
      0.8312754986156389,
      0.822000126776148,
      0.8128484724855198,
      0.8038181099087187,
      0.7949066254722325,
      0.7861111089392482,
      0.777428524053628,
      0.7688561452169004,
      0.7603914840343002,
      0.7520324152210243,
      0.7437775864450294,
      0.7356262671921225,
      0.7275776397329371,
      0.7196306042270031,
      0.7117838759485183,
      0.7040360528822699,
      0.6963856631752963,
      0.688831198077344,
      0.6813711343377277,
      0.6740039500500059,
      0.666728134812162,
      0.6595421975757482,
      0.6524446707403467,
      0.6454341132382914,
      0.6385091122718414,
      0.6316682843540194,
      0.6249102756141872,
      0.6182337614801077,
      0.6116374856969592,
      0.6051209020624067,
      0.5986837783325947,
      0.5923255760361568,
      0.5860455530109505,
      0.5798428328676306,
      0.5737164531926758,
      0.5676653991316936,
      0.5616886265071608,
      0.5557850780578041,
      0.5499536940014301,
      0.5441934197585678,
      0.5385032107121914,
      0.5328820357813381,
      0.5273288792383725,
      0.5218427421039751,
      0.5164226431545346,
      0.5110676189893331,
      0.5057767242572657,
      0.5005490313592651,
      0.4953836305725313,
      0.4902796294800723,
      0.48523615259817005,
      0.4802523415351344,
      0.4753273541071942,
      0.47046036409166164,
      0.4656505608555466,
      0.4608971488365858,
      0.4561993474372863,
      0.4515563904437613,
      0.4469675256825825,
      0.4424320147134133,
      0.437949132456726,
      0.4335181669873602,
      0.42913841888371046,
      0.4248092013296219,
      0.42052983957070694,
      0.4162996705914143,
      0.41211804301269284,
      0.4079843166780141,
      0.4038978623859545,
      0.3998580616424815,
      0.3958643063580867,
      0.3919159985913468,
      0.3880125505432342,
      0.3841533842699756,
      0.38033793116469344,
      0.37656563199662196,
      0.3728359365936878,
      0.36914830365121026,
      0.36550220069314227,
      0.3618971036781966,
      0.3583324969625768,
      0.3548078730098803,
      0.3513227084512234,
      0.347876311994254,
      0.34446795865469937,
      0.34109700858413905,
      0.3377628837864886,
      0.33446505158337775,
      0.3312030132864309,
      0.32797629573178166,
      0.32478444574999193,
      0.3216270259233626,
      0.3185036115138733,
      0.31541378850040924,
      0.31235715221060567,
      0.309333305943981,
      0.30634186038397465,
      0.3033824328811608,
      0.3004546469876412,
      0.2975583036574124,
      0.2946933139879464,
      0.2918595073804858,
      0.28905665583689494,
      0.2862844923510919,
      0.2835427238888972,
      0.2808310405314027,
      0.27814912171868933,
      0.27549664087765746,
      0.2728732686289325,
      0.2702786749544918,
      0.2677125307031779,
      0.2651745085037518,
      0.2626642836869371,
      0.2601815634807406,
      0.257726095839769,
      0.2552976174797744,
      0.2528958519209438,
      0.25052051476716936,
      0.2481713172428621,
      0.24584802983955645,
      0.24355047989122303,
      0.2412784693696006,
      0.2390317565987925,
      0.2368100358254632,
      0.23461299772129973,
      0.23244034221687704,
      0.23029177688361266,
      0.22816701563098007,
      0.2260657779939273,
      0.22398778846081385,
      0.22193277600536832,
      0.21990047362999995,
      0.21789061824961395,
      0.21590295044523003,
      0.21393721440450755,
      0.2119931577309013,
      0.21007053140133775,
      0.208169089541026,
      0.2062885894222808,
      0.20442879131817354,
      0.2025894535573246,
      0.20077029925817524,
      0.1989710455660493,
      0.19719142901810474,
      0.1954312007157777,
      0.1936901229378852,
      0.1919679665944351,
      0.19026450942280862,
      0.1885795347534501,
      0.1869128305867558,
      0.18526418888846644,
      0.18363340530431888,
      0.18202027861875397,
      0.1804246105922546,
      0.17884620567984694,
      0.1772848709994546,
      0.17574041611703312,
      0.17421265297874536,
      0.17270139600253895,
      0.17120646175726956,
      0.16972766906787168,
      0.16826483894883648,
      0.16681779454406143,
      0.16538636112404934,
      0.1639703660765651,
      0.16256963887160014,
      0.16118401093763396,
      0.1598133155814015,
      0.15845738820613842,
      0.15711606604635417,
      0.1557891882453373,
      0.15447659586842608,
      0.15317813178872597,
      0.15189364075650294,
      0.1506229692898881,
      0.14936596566646934,
      0.14812247997789077,
      0.1468923639735812,
      0.1456754809489724,
      0.14447180706216017,
      0.1432813590754828,
      0.14210410359334127,
      0.14093997254864063,
      0.13978887406206897,
      0.13865070000901775,
      0.13752533122011984,
      0.1364126413406253,
      0.13531249946509966,
      0.13422477191401383,
      0.13314932361719603,
      0.1320860190011215,
      0.1310347225808015,
      0.1299952993922523,
      0.12896761533062676,
      0.12795153740219398,
      0.1269469337440363,
      0.12595367379398767,
      0.12497162835042774,
      0.1240006758562002,
      0.12304070025448333,
      0.1220915836793289,
      0.12115320732619046,
      0.12022545219634403,
      0.11930819041779567,
      0.11840124482021018,
      0.11750443303163044,
      0.1166175944543487,
      0.11574058425902392,
      0.11487323970292537,
      0.11401536922717068,
      0.11316680232461078,
      0.11232738984870218,
      0.11149699825510732,
      0.11067549828372837,
      0.10986272509139382,
      0.1090585117224914,
      0.10826271425849629,
      0.1074752055412823,
      0.10669587078896732,
      0.10592460434706893,
      0.10516130740331832,
      0.10440588644149834,
      0.1036582519633033,
      0.10291831748657677,
      0.10218599904480845,
      0.10146121472762713,
      0.10074388638516331,
      0.1000339396242597,
      0.09933130034484515,
      0.09863589449650895,
      0.0979476482863489,
      0.09726648837503198,
      0.0965923418450298,
      0.09592513641240857,
      0.09526480036714693,
      0.09461126270003148,
      0.09396445311756323,
      0.09332430201500955,
      0.09269074042013255,
      0.09206370002186592,
      0.09144311327773476,
      0.09082891333336272,
      0.09022103405262688,
      0.08961940996122476,
      0.08902397628199786,
      0.08843466895355716,
      0.08785142456903719,
      0.08727418036789929,
      0.08670287416675662,
      0.08613744451492622,
      0.0855778306107491,
      0.08502397229061401,
      0.08447581001387093,
      0.0839332848690431,
      0.08339633856346329,
      0.08286491342788725,
      0.08233895235967692,
      0.08181839890833734,
      0.08130319718824168,
      0.080793291981449,
      0.08028862851825178,
      0.07978915260320417,
      0.07929481059354473,
      0.07880554959326133,
      0.07832131709903867,
      0.07784206118894897,
      0.07736773046815691,
      0.0768982741185323,
      0.07643364180082797,
      0.0759737836286625,
      0.07551862335499197,
      0.07506806014859094,
      0.07462200632567369,
      0.07418038653753922,
      0.07374313457111664,
      0.07331016999499447,
      0.07288139039731888,
      0.07245670684445418,
      0.0720360445511656,
      0.0716193391998499,
      0.07120653428001973,
      0.07079757910714113,
      0.07039242733780837,
      0.06999103584877502,
      0.06959336400988386,
      0.06919937315121136,
      0.06880902608574223,
      0.06842228673591305,
      0.06803912002895596,
      0.06765950036407824,
      0.06728342138055395,
      0.06691087324106884,
      0.06654183970060064,
      0.06617629987557835,
      0.06581422956885155,
      0.06545560226049514,
      0.06510038987951466,
      0.06474856325468846,
      0.06440009252937098,
      0.06405494744299312,
      0.06371309750936223,
      0.06337451222910113,
      0.06303916095501386,
      0.06270701322479226,
      0.06237803867427304,
      0.06205220720888896,
      0.06172948889619144,
      0.06140985410389167,
      0.06109327337819572,
      0.06077971750092286,
      0.060469157589122885,
      0.06016156498882237,
      0.05985691127500213,
      0.05955516824894436,
      0.05925630814671503,
      0.05896030332091673,
      0.05866712650861672,
      0.0583767505754481,
      0.05808914866775959,
      0.05780429426692886,
      0.05752216102884422,
      0.057242722878471965,
      0.056965954022799935,
      0.05669182892023429,
      0.05642032230519077,
      0.05615140904812344,
      0.05588506435359898,
      0.05562126365706526,
      0.05535998259601475,
      0.05510119699758556,
      0.05484488298475049,
      0.054591016953131795,
      0.05433957547262741,
      0.05409053534868533,
      0.05384387362402389,
      0.05359956746046394,
      0.0533575943902099,
      0.05311793207539686,
      0.05288055838642188,
      0.052645451445976404,
      0.05241258955311176,
      0.052181951257698846,
      0.05195351531480847,
      0.051727260662246706,
      0.05150316638906379,
      0.05128121185129816,
      0.05106137664218707,
      0.05084364045524528,
      0.05062798316081391,
      0.05041438490549537,
      0.05020282602840648,
      0.049993287003334254,
      0.04978574846426395,
      0.04958019135561711,
      0.04937659667953148
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786677948862787,
      10.571590739244133,
      10.3483597615139,
      10.119449689955035,
      9.887074055006204,
      9.653192266928652,
      9.41953322197425,
      9.187599515556565,
      8.958691993737729,
      8.733893430733286,
      8.514055166760194,
      8.299789677751285,
      8.091476259001464,
      7.889277991212215,
      7.693167609449047,
      7.502959432015927,
      7.318340731968634,
      7.138904011702276,
      6.964177849263819,
      6.793654692477837,
      6.626815058696424,
      6.463148030240255,
      6.302168224424592,
      6.143429567650014,
      5.986536266218771,
      5.8311513173261575,
      5.676992852351898,
      5.523835896888067,
      5.371530360641153,
      5.219991786614895,
      5.06920313097008,
      4.919222685875318,
      4.770175672331293,
      4.622240287336962,
      4.475654600060134,
      4.330711546426493,
      4.187748695580964,
      4.04713453981602,
      3.9092540773110285,
      3.774503821138542,
      3.6432802593762803,
      3.5159714976533705,
      3.3929411977381045,
      3.2745117846097545,
      3.1609581144891545,
      3.052504587511658,
      2.9493268435530684,
      2.8515476750350817,
      2.7592353833227388,
      2.6723952944883753,
      2.5909838518810417,
      2.5149185525038287,
      2.4440789385410584,
      2.378287609039178,
      2.317304203006896,
      2.2608459474768274,
      2.2085856148726113,
      2.1601526190758005,
      2.1151451440383253,
      2.0731493433218575,
      2.0337884563751323,
      1.9966880736455184,
      1.9614987149080465,
      1.9279421061742017,
      1.8958002888710745,
      1.8649003437323517,
      1.83510371838289,
      1.8062978213556988,
      1.7783884198670614,
      1.7512974808045068,
      1.7249587083991713,
      1.6993180732564106,
      1.6743308609544247,
      1.649959367014168,
      1.626171212627736,
      1.6029381123063757,
      1.5802349674867628,
      1.5580391994566734,
      1.5363302145140556,
      1.5150885874221398,
      1.494296076513761,
      1.4739358150408115,
      1.4539920612964625,
      1.434450048147576,
      1.4152958641443183,
      1.3965163593446088,
      1.3780990698531315,
      1.3600325210577973,
      1.3423062623225153,
      1.324910185491817,
      1.3078344666436574,
      1.2910695912095467,
      1.2746063672818302,
      1.2584359305329509,
      1.2425497424834384,
      1.2269395854189498,
      1.211597554906875,
      1.1965160495285156,
      1.181687919037717,
      1.1671064321146032,
      1.152765350657793,
      1.1386589833425436,
      1.1247822643628567,
      1.1111307628763796,
      1.097699876818333,
      1.084484828059512,
      1.071480766299841,
      1.058682840780161,
      1.046086248884731,
      1.0336862692060682,
      1.0214782830629012,
      1.0094577874286017,
      0.9976204023644302,
      0.9859618752796373,
      0.9744780815849118,
      0.9631650240436733,
      0.9520188305773712,
      0.941035751240786,
      0.930212154927161,
      0.9195445252898704,
      0.9090294571449732,
      0.8986636524786759,
      0.8884439161995569,
      0.8783671525850621,
      0.8684303615906088,
      0.8586306348993887,
      0.8489651525549655,
      0.839431179593258,
      0.8300260627499536,
      0.8207472273178729,
      0.8115921742785808,
      0.8025584775258461,
      0.7936436866468004,
      0.7848448359686069,
      0.7761589144405585,
      0.7675832143241675,
      0.7591152600237452,
      0.7507531882613203,
      0.7424958687642437,
      0.7343425708866885,
      0.7262923363635759,
      0.7183439664895627,
      0.7104961068729437,
      0.7027473066917485,
      0.6950960596927681,
      0.687540832702259,
      0.6800800850706046,
      0.672712282753713,
      0.6654359070051228,
      0.6582494604621616,
      0.6511514713152007,
      0.6441404953791452,
      0.6372151177112765,
      0.6303739530011724,
      0.6236156461933205,
      0.6169388720557966,
      0.6103425519796174,
      0.6038263987798291,
      0.5973900407996668,
      0.5910328438291986,
      0.5847539985640242,
      0.5785525818881536,
      0.5724275985880606,
      0.5663780109315358,
      0.5604027587528034,
      0.5545007734706279,
      0.5486709876651277,
      0.5429123412412572,
      0.5372237857307024,
      0.5316042873613833,
      0.5260528285013946,
      0.5205684089133739,
      0.5151500462409849,
      0.5097967764720553,
      0.5045076533925277,
      0.4992817490934472,
      0.49411815355248245,
      0.48901597405581176,
      0.48397433514894583,
      0.4789923780255346,
      0.4740692601954113,
      0.46920415533190185,
      0.4643962525891541,
      0.4596447562036838,
      0.4549488852290053,
      0.4503078733550611,
      0.4457209682536375,
      0.4411874312396329,
      0.43670653702015466,
      0.4322775734052871,
      0.4278998409826765,
      0.42357265260348315,
      0.4192953332145924,
      0.4150672196315373,
      0.41088766027840673,
      0.4067560147686491,
      0.4026716536577778,
      0.39863395806337176,
      0.3946423197637018,
      0.3906961407076429,
      0.38679483287763494,
      0.3829378178956318,
      0.37912452708474276,
      0.37535440091931355,
      0.3716268890078399,
      0.36794144992293526,
      0.364297550853348,
      0.3606946673832947,
      0.3571322836797336,
      0.3536098918927887,
      0.3501269122274602,
      0.34668260222459674,
      0.3432762701659834,
      0.3399072993657533,
      0.33657512809397494,
      0.33327923512159874,
      0.3300191296525517,
      0.32679434404209495,
      0.32360442878060697,
      0.32044894908885474,
      0.31732748204371863,
      0.31423961477267803,
      0.3111849432909686,
      0.30816307136673904,
      0.30517360985644726,
      0.3022161762409776,
      0.2992904276384883,
      0.29639621859805715,
      0.293533434830879,
      0.29070188629466615,
      0.28790133113866295,
      0.2851314925536079,
      0.2823920705428023,
      0.2796827499182199,
      0.277003206573871,
      0.2743531114239256,
      0.2717321330899257,
      0.26913994018639636,
      0.26657620234854135,
      0.2640405914444927,
      0.26153278703238303,
      0.25905251733045215,
      0.2565995279799919,
      0.2541735475961498,
      0.2517742941069894,
      0.24940147905625135,
      0.24705483568975165,
      0.2447341828432659,
      0.24243933272555204,
      0.24017006771814856,
      0.23792610889108304,
      0.2357071371833853,
      0.23351284369448821,
      0.2313429287207103,
      0.22919709995914456,
      0.22707507138205074,
      0.22497656251067383,
      0.22290129769091063,
      0.22084900583983477,
      0.21881941984764303,
      0.21681227658720076,
      0.21482731655177623,
      0.21286428374324903,
      0.21092292556868195,
      0.20900299280870444,
      0.20710423947988124,
      0.2052264227682506,
      0.20336930290730532,
      0.20153262616210346,
      0.199716104661994,
      0.1979194624582515,
      0.19614244095002203,
      0.19438479463618766,
      0.19264628816057866,
      0.19092669402822576,
      0.18922579109949267,
      0.1875433634738259,
      0.1858791996960322,
      0.18423309207836466,
      0.18260483644137548,
      0.1809942315978659,
      0.17940107922783918,
      0.177825183876138,
      0.1762663526148569,
      0.1747243949549445,
      0.17319912281583266,
      0.17169035042542288,
      0.1701978943540733,
      0.16872157337739896,
      0.16726120839629113,
      0.16581662243322381,
      0.16438764075545279,
      0.16297409056604029,
      0.161575801197032,
      0.1601926039524508,
      0.15882433213535627,
      0.15747082097927764,
      0.1561319077065076,
      0.15480743134401348,
      0.15349723280598151,
      0.1522011549182693,
      0.15091904239830156,
      0.1496507417132533,
      0.1483961010712408,
      0.14715497044321257,
      0.1459272584128038,
      0.14471298253029735,
      0.14351213154157927,
      0.1423246519719052,
      0.14115046105951057,
      0.1399894560705436,
      0.13884152074336073,
      0.1377065296694429,
      0.13658435158858795,
      0.1354748515982662,
      0.1343778928644208,
      0.13329333756693157,
      0.13222104773880639,
      0.13116088575381818,
      0.1301127147766346,
      0.1290763988779377,
      0.1280518032478135,
      0.12703879442535018,
      0.12603724041187753,
      0.12504701641081326,
      0.12406800359447677,
      0.12310008152397056,
      0.12214312873083755,
      0.12119702343313919,
      0.12026164416054647,
      0.11933686993511591,
      0.11842254934998563,
      0.11751849288020252,
      0.11662452816154835,
      0.11574050164908853,
      0.11486627040290441,
      0.11400165680728253,
      0.11314647249844255,
      0.11230055530550571,
      0.11146376209636874,
      0.11063596369114724,
      0.10981702956220589,
      0.10900679051893462,
      0.10820508475577574,
      0.10741177193085132,
      0.10662672747696804,
      0.10584983852611345,
      0.10508100088412033,
      0.1043201168212445,
      0.10356709354246067,
      0.10282184200772458,
      0.10208427617965023,
      0.10135431242283315,
      0.10063186902666778,
      0.09991686735676392,
      0.0992092330578056,
      0.09850889227159092,
      0.09781577121666114,
      0.09712979628887923,
      0.09645089432792975,
      0.09577899263732347,
      0.09511401892957962,
      0.09445590160357448,
      0.09380456968728787,
      0.09315995292278437,
      0.09252198169470244,
      0.09189058709470255,
      0.09126570094395098,
      0.09064725574839823,
      0.09003518468824602,
      0.08942942167359406,
      0.08882990128811959,
      0.08823655878001477,
      0.08764933006800589,
      0.08706815180061232,
      0.08649296119551973,
      0.08592369627567077,
      0.0853602957136393,
      0.0848026986976781,
      0.08425084506686903,
      0.08370467536584984,
      0.083164130641534,
      0.0826291526773342,
      0.08209968386116029,
      0.08157566711302419,
      0.0810570460691017,
      0.08054376480389501,
      0.08003576805056976,
      0.07953300118802442,
      0.07903541007140574,
      0.07854294119556825,
      0.07805554158062253,
      0.07757315879318459,
      0.07709574099196938,
      0.07662323685164091,
      0.07615559552972888,
      0.07569276676921441,
      0.0752347007995568,
      0.07478132701922383,
      0.07433254571182225,
      0.0738882676093452,
      0.07344841623035538,
      0.07301292453635765,
      0.07258173251546379,
      0.07215477801286108,
      0.07173196896525724,
      0.07131321422080343,
      0.07089843751687898,
      0.07048757355430649,
      0.07008056516100723,
      0.06967736122549713,
      0.0692779152041095,
      0.06888218399898721,
      0.0684901393771641,
      0.06810177151706485,
      0.06771706633346368,
      0.06733600411938905,
      0.06695856113026183,
      0.06658471079279776,
      0.0662144245624789,
      0.06584767252227781,
      0.06548442388987803,
      0.06512464728302227,
      0.06476831107170823,
      0.06441538346519934,
      0.06406583256675917,
      0.06371962664406372,
      0.06337673402817688,
      0.06303712319416231,
      0.06270076289603986,
      0.06236762205178521,
      0.06203766990869448,
      0.0617108759811078,
      0.06138721004003284,
      0.06106664205905205,
      0.06074914233297504,
      0.06043468147676505,
      0.06012323031754816,
      0.059814759952856254,
      0.05950924178453317,
      0.05920664753767538,
      0.05890694913468065,
      0.058610118846834175,
      0.05831612915448687,
      0.05802495279572875,
      0.057736562739699224,
      0.05745093230404728,
      0.057168035012702054,
      0.05688784467407649,
      0.0566103353489405,
      0.05633548128117994,
      0.05606325701690008,
      0.055793637333823795,
      0.0555265972987772,
      0.055262112208733595,
      0.055000157488028355,
      0.054740708901301866,
      0.05448374238862202,
      0.054229234188282495,
      0.0539771607344514,
      0.05372749866384384,
      0.0534802248963812,
      0.0532353165196105,
      0.052992750896585825,
      0.052752505574340705,
      0.05251455826939033,
      0.05227888699080882,
      0.052045469931942485,
      0.05181428551586526,
      0.05158531232064419,
      0.051358529173817995,
      0.05113391504739763,
      0.050911449182635946,
      0.05069111096750076,
      0.05047288006939598,
      0.05025673632071382,
      0.05004265971001985,
      0.04983063043760611,
      0.0496206287934283,
      0.04941263543970902,
      0.04920663117928975,
      0.04900259699866638,
      0.048800513945702464
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786661698985581,
      10.571538591037166,
      10.348256498068976,
      10.119284330213215,
      9.886839721191846,
      9.652885004126862,
      9.419151473345023,
      9.187143362458823,
      8.958162669011966,
      8.733292733453188,
      8.51338518350323,
      8.299052535006378,
      8.090673919004157,
      7.888412103249707,
      7.69223941404544,
      7.501969718141668,
      7.317289836054994,
      7.137791858856068,
      6.96300402297158,
      6.792418527283101,
      6.625515746355703,
      6.461784738751081,
      6.300740222343659,
      6.141936350875629,
      5.984977682578957,
      5.829527554639713,
      5.675304421693516,
      5.522084210898257,
      5.36971775241799,
      5.218121552139232,
      5.067279449808731,
      4.917250653523565,
      4.768161098499255,
      4.620189801726215,
      4.473575695235358,
      4.328612471024029,
      4.185638311898857,
      4.045022458500797,
      3.907150297559708,
      3.772418398036693,
      3.641223244429331,
      3.513952960270815,
      3.3909705028408297,
      3.2725973769631924,
      3.159107405560015,
      3.0507238356157194,
      2.9476211798258958,
      2.849920641573386,
      2.7576890640460183,
      2.670930431558316,
      2.589600343645159,
      2.5136155315186537,
      2.442854319046728,
      2.3771370058024415,
      2.3162217477540668,
      2.259824429139829,
      2.2076172259032005,
      2.1592293731383037,
      2.1142585253864596,
      2.072291079889504,
      2.032951164490485,
      1.9958644083585069,
      1.960682774516471,
      1.9271295014223124,
      1.894987759025898,
      1.8640854173373975,
      1.8342845595391364,
      1.8054728448457302,
      1.7775563143659805,
      1.7504573399859746,
      1.724109925689597,
      1.6984602565658165,
      1.6734637736348679,
      1.649082884599605,
      1.6252852913748979,
      1.6020427660354402,
      1.5793302502171696,
      1.557125193455509,
      1.5354070478295978,
      1.5141563730872094,
      1.493354733018319,
      1.472985289486047,
      1.453032355301703,
      1.4334812015688285,
      1.4143179437604372,
      1.3955294507852603,
      1.3771032706839392,
      1.3590279743417868,
      1.3412931229514953,
      1.323888599183494,
      1.306804571603127,
      1.2900315199696775,
      1.2735602474484264,
      1.2573818849405058,
      1.241487890437078,
      1.2258700430882006,
      1.2105204352764156,
      1.1954315466957544,
      1.180596335542352,
      1.1660080194268008,
      1.1516603777031187,
      1.1375477045045168,
      1.1236649522711368,
      1.1100076583243697,
      1.0965711752991967,
      1.0833506924942695,
      1.0703413361131728,
      1.0575382381465557,
      1.0449365836777083,
      1.032531642045278,
      1.0203187875301292,
      1.0082935119641443,
      0.9964514316934695,
      0.9847882912685694,
      0.9732999639355675,
      0.9619824505212727,
      0.9508318772805604,
      0.9398444929649429,
      0.9290166655198082,
      0.9183448775918461,
      0.9078257229744067,
      0.8974559030141385,
      0.8872322218472876,
      0.8771515830928789,
      0.8672109860017613,
      0.8574075214987794,
      0.8477383689600899,
      0.8382007929389448,
      0.828792139611696,
      0.8195098335768319,
      0.8103513752836411,
      0.8013143378918992,
      0.792396234899436,
      0.7835940467043768,
      0.7749047868799959,
      0.7663257649635831,
      0.7578546423353616,
      0.7494897612502711,
      0.7412301254827913,
      0.7330749652154822,
      0.7250231991792848,
      0.7170735423224285,
      0.7092245793064452,
      0.7014748162346206,
      0.69382271651125,
      0.6862667253919219,
      0.6788052872981398,
      0.671436857506477,
      0.6641599097841296,
      0.6569729414013825,
      0.649874476488124,
      0.6428630682375206,
      0.6359372996427579,
      0.6290957840509306,
      0.6223371652645212,
      0.6156601170479319,
      0.6090638915565452,
      0.6025482560432545,
      0.5961127165458249,
      0.5897565532769089,
      0.5834788974519177,
      0.5772787841106308,
      0.5711551889592174,
      0.5651070540074131,
      0.5591333048589963,
      0.5532328631240677,
      0.5474046543530209,
      0.5416476135080992,
      0.5359606889103015,
      0.53034284404343,
      0.5247930596434977,
      0.5193103343031106,
      0.5138936846419039,
      0.5085421458608079,
      0.5032547715673561,
      0.4980306334104021,
      0.4928688208568974,
      0.48776844101223454,
      0.482728618080498,
      0.4777484930511654,
      0.47282722330908755,
      0.4679639822212088,
      0.4631579587265441,
      0.4584083570327743,
      0.45371439596368757,
      0.4490753088230554,
      0.4444903431403224,
      0.4399587600970077,
      0.43547983421924846,
      0.4310528531340414,
      0.4266771170343112,
      0.42235193866758375,
      0.4180766427560906,
      0.41385056584057384,
      0.4096730561417475,
      0.40554347295792453,
      0.40146118653953106,
      0.3974255779328625,
      0.39343603861595244,
      0.38949197043625305,
      0.385592785010986,
      0.3817379038371248,
      0.3779267577124234,
      0.37415878701982025,
      0.3704334410954217,
      0.3667501782067171,
      0.363108465378131,
      0.3595077780901771,
      0.3559476000556506,
      0.3524274232514994,
      0.34894658222133074,
      0.34550432366532036,
      0.34209998562869803,
      0.3387329723807584,
      0.33540273680317106,
      0.33210876794437594,
      0.32885058204212353,
      0.32562771651218425,
      0.3224397252404274,
      0.3192861756967744,
      0.31616664646145193,
      0.3130807257407614,
      0.31002801014216713,
      0.30700810378128335,
      0.30402061761616367,
      0.3010651690710865,
      0.29814145878328274,
      0.295249382665998,
      0.29238880015890967,
      0.2895595027062686,
      0.28676123534688885,
      0.2839937119359646,
      0.28125662564582976,
      0.2785496566928947,
      0.27587247748530996,
      0.2732247563175964,
      0.270606160045981,
      0.26801635579311656,
      0.2654550121851591,
      0.26292180032934664,
      0.2604164132680542,
      0.25793859386977047,
      0.2554880782928218,
      0.2530645883862456,
      0.2506678372613341,
      0.2482975384574289,
      0.24595348019365462,
      0.24363548588670467,
      0.2413433475290188,
      0.2390768201749931,
      0.23683559555411549,
      0.23461935391372096,
      0.23242778665343106,
      0.23026059409281943,
      0.22811748392856537,
      0.22599817018385399,
      0.22390237236649474,
      0.22182981476910096,
      0.2197802261376921,
      0.21775333930079493,
      0.2157488909232609,
      0.2137666213328349,
      0.2118062744957621,
      0.20986759772143954,
      0.20795034155310685,
      0.20605425984431464,
      0.20417910974199024,
      0.2023246512832066,
      0.20049061294973108,
      0.19867670447096153,
      0.19688265583044492,
      0.19510821270572062,
      0.19335313257927766,
      0.1916171822139592,
      0.18990013561836852,
      0.18820177260935037,
      0.18652187792777042,
      0.18486024056108122,
      0.1832166530153548,
      0.181590911221475,
      0.1799828140827253,
      0.17839216348906206,
      0.17681876394594814,
      0.17526242241424242,
      0.17372294836066057,
      0.17220015359920843,
      0.17069385227946504,
      0.16920386081778716,
      0.16772999791167606,
      0.16627208438252566,
      0.1648299431900923,
      0.16340339950410873,
      0.16199228043912484,
      0.16059641524011195,
      0.15921563505477643,
      0.1578497730805071,
      0.15649866455215042,
      0.15516214641799578,
      0.15384005775863102,
      0.1525322395384489,
      0.15123853445177685,
      0.1499587870671265,
      0.14869284368448876,
      0.1474405608194859,
      0.14620191029154941,
      0.1449769094856746,
      0.14376552385793445,
      0.14256768296120417,
      0.14138329160316518,
      0.14021223770156782,
      0.13905439793646052,
      0.13790964143640186,
      0.1367778326334926,
      0.13565883310670812,
      0.1345525030190332,
      0.13345870193732215,
      0.13237728961099718,
      0.13130812634325065,
      0.1302510733255362,
      0.12920599284741174,
      0.12817274844618468,
      0.1271512050222965,
      0.12614123430148477,
      0.12514271461313226,
      0.12415552298196292,
      0.12317953525591259,
      0.12221462697815229,
      0.12126067386286049,
      0.12031755224581195,
      0.11938513928226635,
      0.1184633064206482,
      0.11755187743266435,
      0.11665066570433083,
      0.11575950739899389,
      0.11487825500570135,
      0.11400676001880061,
      0.11314483338491269,
      0.11229229645188986,
      0.11144899401661683,
      0.11061478790645375,
      0.1097895525352458,
      0.1089731545993481,
      0.10816542307026507,
      0.10736620030020802,
      0.10657534900455841,
      0.10579274687763378,
      0.10501828265303517,
      0.10425185331345549,
      0.10349336200633327,
      0.10274271654312674,
      0.10199982839965008,
      0.1012646118958125,
      0.10053698365338172,
      0.09981686216414289,
      0.09910416834435538,
      0.09839882771478949,
      0.09770076675844423,
      0.09700991200520466,
      0.09632619004447948,
      0.09564952780498454,
      0.09497985260683106,
      0.09431709231650325,
      0.09366117544043452,
      0.09301203113153056,
      0.09236958913457755,
      0.09173377988650257,
      0.09110453454262844,
      0.09048178500584285,
      0.08986546379288422,
      0.08925550410653176,
      0.08865183989757594,
      0.08805440586599968,
      0.08746313729935963,
      0.08687797009168069,
      0.08629884091709164,
      0.08572568713923147,
      0.08515844681872092,
      0.0845970585895483,
      0.0840414616647078,
      0.08349159593328435,
      0.08294740197076456,
      0.08240882095665979,
      0.0818757946928926,
      0.08134826557356167,
      0.08082617659218454,
      0.08030947127763159,
      0.0797980939568144,
      0.07929198939670856,
      0.07879110296034592,
      0.07829538054853753,
      0.07780476867747017,
      0.07731921442791402,
      0.0768386653967369,
      0.07636306979023147,
      0.0758923763321296,
      0.07542653428174907,
      0.07496549347317875,
      0.07450920418478406,
      0.07405760251643778,
      0.07361059002983682,
      0.07316807553867369,
      0.07272998114635881,
      0.07229623884273359,
      0.0718667879820101,
      0.07144157324101012,
      0.07102054339967635,
      0.07060362494741736,
      0.07019072492968154,
      0.06978176401156683,
      0.06937668797765172,
      0.0689754676469399,
      0.06857807427816434,
      0.06818447720341965,
      0.06779464428188682,
      0.06740854253248704,
      0.06702613837473968,
      0.06664739788663322,
      0.0662722871152313,
      0.06590077199884092,
      0.06553281860393395,
      0.06516839314282377,
      0.064807462097019,
      0.06444999203925149,
      0.06409594987271101,
      0.06374530273427884,
      0.06339801806406965,
      0.06305406353608453,
      0.06271340709479185,
      0.06237601711058513,
      0.06204186222486106,
      0.061710911345799556,
      0.06138313367391583,
      0.06105849871568402,
      0.06073697632727786,
      0.06041853655901992,
      0.06010314973934124,
      0.05979078650880232,
      0.059481417829845736,
      0.05917501497877047,
      0.05887154940840039,
      0.05857099287248996,
      0.058273317337786415,
      0.057978495215398086,
      0.057686499087816284,
      0.05739730181523065,
      0.05711087649990153,
      0.05682719648940736,
      0.056546235381040526,
      0.056267967033311744,
      0.05599236564222252,
      0.05571940559936705,
      0.05544906147806614,
      0.0551813081122492,
      0.054916120676547185,
      0.054653474586184164,
      0.054393345468042045,
      0.05413570907827933,
      0.05388054149407773,
      0.053627819061558266,
      0.053377518281390014,
      0.053129615885642655,
      0.0528840887851391,
      0.05264091420206704,
      0.05240006959368766,
      0.05216153258047417,
      0.05192528099217778,
      0.05169129286408162,
      0.051459546535728304,
      0.05123002050592272,
      0.05100269343780586,
      0.050777544225130714,
      0.05055455199883595,
      0.05033369605192478,
      0.05011495591443309,
      0.0498983112703878,
      0.04968374199290023,
      0.049471228151397595,
      0.04926075008975163,
      0.049052288218884625,
      0.04884582316303651,
      0.04864133583668441,
      0.048438807303198925,
      0.04823821871358206
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.78664563444362,
      10.571487063637113,
      10.348154496774143,
      10.119121032471984,
      9.886608356349443,
      9.652581687937083,
      9.418774694304426,
      9.186693228068389,
      8.957640423883255,
      8.732700179525564,
      8.512724403167034,
      8.298325645381194,
      8.089882873660352,
      7.887558541866503,
      7.691324569627921,
      7.50099437500079,
      7.31625433249433,
      7.1366961264802695,
      6.961847655966402,
      6.791200873271302,
      6.624236014703649,
      6.460442116595505,
      6.299333998309481,
      6.140466038820592,
      5.983443146343888,
      5.827928989479241,
      5.673642345388707,
      5.520360041240905,
      5.367933818251253,
      5.216281135286995,
      5.065386702597841,
      4.915310630238293,
      4.7661795536132265,
      4.618173294391969,
      4.471531631481646,
      4.326548996749857,
      4.183564172418748,
      4.04294713404327,
      3.9050836504637947,
      3.7703703383558254,
      3.6392036705194357,
      3.5119717785322515,
      3.389036915479891,
      3.2707196740892517,
      3.157292853247819,
      3.048978572224035,
      2.9459502196197747,
      2.848327429568293,
      2.7561756070294727,
      2.6694974144723385,
      2.5882476212802463,
      2.5123422060774145,
      2.44165817892765,
      2.3760135919722254,
      2.3151652468188826,
      2.258827705249447,
      2.2066725601862984,
      2.1583288165923267,
      2.113393656379327,
      2.0714537565997873,
      2.0321341001803868,
      1.9950603634318678,
      1.959885958863827,
      1.9263356124447872,
      1.8941936032167939,
      1.8632885769209746,
      1.8334832409014734,
      1.804665496104106,
      1.7767416505212335,
      1.74963447706065,
      1.7232782752768243,
      1.6976194409796568,
      1.6726135678593543,
      1.648223173925871,
      1.624416040032265,
      1.6011639942801428,
      1.5784420182885548,
      1.556227588761118,
      1.5345001900216966,
      1.5132403732080713,
      1.4924295627612216,
      1.472050892618806,
      1.452088731472791,
      1.4325283901931298,
      1.4133560120607698,
      1.3945584848735522,
      1.3761233701916828,
      1.3580392837137092,
      1.3402957982061805,
      1.3228827876967066,
      1.3057904136921266,
      1.2890091496405947,
      1.2725297938291116,
      1.2563434727178284,
      1.2404416404153602,
      1.2248160726631552,
      1.2094588969693463,
      1.1943627305136553,
      1.1795205134186924,
      1.1649254301484082,
      1.150571278466402,
      1.1364523259145498,
      1.122563549902323,
      1.1089004603582087,
      1.0954583691257251,
      1.0822324356295525,
      1.0692177641809844,
      1.0564094712536718,
      1.043802730325137,
      1.031392802359414,
      1.019175055411234,
      1.0071449763570832,
      0.9952981780506931,
      0.9836304019860128,
      0.9721375190846295,
      0.9608155283683233,
      0.9496605549004776,
      0.9386688462881763,
      0.927836768914401,
      0.9171608045561062,
      0.9066375461611916,
      0.8962636939428653,
      0.8860360513201403,
      0.8759515215020679,
      0.8660071028159798,
      0.8561998856578112,
      0.8465270489062081,
      0.8369858562853771,
      0.8275736532607358,
      0.818287864033624,
      0.8091259884042231,
      0.8000855987247885,
      0.791164173238178,
      0.7823586390392142,
      0.7736660339298687,
      0.7650836844765209,
      0.756609488844433,
      0.7482419777711629,
      0.739980240358634,
      0.7318233614610888,
      0.7237701580683135,
      0.7158192733625771,
      0.7079692414128232,
      0.7002185326249011,
      0.692565585320567,
      0.6850088272584064,
      0.6775466902950295,
      0.670177620732767,
      0.662900085928212,
      0.6557125786926405,
      0.64861362009291,
      0.6416017609253573,
      0.6346755826407173,
      0.6278336973513267,
      0.621074747844571,
      0.614397519510519,
      0.6078015508105787,
      0.6012865354545015,
      0.5948518754119916,
      0.5884967783546149,
      0.5822203244055805,
      0.5760215129673765,
      0.5698992950422891,
      0.5638525952726112,
      0.5578803272593404,
      0.5519814040702912,
      0.5461547454010833,
      0.5403992821289958,
      0.5347139593481107,
      0.5290977385877838,
      0.523549599124555,
      0.5180685384215516,
      0.5126535724914127,
      0.5073037359575677,
      0.5020180818711203,
      0.496795681489241,
      0.49163562391654625,
      0.4865370159686255,
      0.4814989817266319,
      0.4765206618610146,
      0.4716012134634917,
      0.46673980977919355,
      0.46193563953578776,
      0.4571879066338367,
      0.45249582974209174,
      0.44785864202782283,
      0.4432755907186808,
      0.43874593680295515,
      0.4342689545632247,
      0.4298439314032656,
      0.42547016738380455,
      0.42114697492615044,
      0.41687367853174173,
      0.41264961459486316,
      0.4084741309542415,
      0.40434658666633305,
      0.40026635187476195,
      0.3962328073949021,
      0.39224534447233617,
      0.3883033645120514,
      0.3844062789822827,
      0.38055350908720803,
      0.37674448548898976,
      0.3729786482314445,
      0.3692554464342246,
      0.36557433808850287,
      0.36193478995463707,
      0.3583362773330967,
      0.35477828376059367,
      0.35126025739766764,
      0.34778146846880315,
      0.3443411968498594,
      0.34093880392196324,
      0.33757371021578286,
      0.33424538006987936,
      0.33095331043245313,
      0.3276970231698531,
      0.3244760593656047,
      0.3212899755267842,
      0.31813834084508447,
      0.31502073508342676,
      0.3119367471444758,
      0.30888597412597674,
      0.305868020236603,
      0.30288249644652565,
      0.29992902026180357,
      0.29700735999304534,
      0.29411742038407984,
      0.2912590370334737,
      0.28843198453475305,
      0.28563599601757145,
      0.28287077674583255,
      0.2801360138343459,
      0.2774313830225127,
      0.27475655365097396,
      0.2721111917704292,
      0.2694949624888509,
      0.26690753165532305,
      0.2643485668741717,
      0.2618177385282103,
      0.25931476225355676,
      0.2568393834684262,
      0.2543913297584392,
      0.25197031686282934,
      0.24957605363647933,
      0.24720829126097207,
      0.2448668497907565,
      0.24255153198276683,
      0.2402621113955064,
      0.23799831124428894,
      0.23575980666380456,
      0.23354627909450748,
      0.23135742075472768,
      0.2291929324361443,
      0.22705252225421876,
      0.22493590440712524,
      0.22284279834609116,
      0.2207729283920838,
      0.21872602326338475,
      0.2167018157035243,
      0.21470004230996453,
      0.21272044335944765,
      0.21076276257865445,
      0.208826747177616,
      0.206912147713533,
      0.2050187178230824,
      0.20314621434347807,
      0.20129438902361246,
      0.1994629569227635,
      0.1976516338270267,
      0.19586015449663877,
      0.19408826796070966,
      0.19233573399594744,
      0.19060232091563475,
      0.18888780385811832,
      0.18719196335289556,
      0.18551458455276873,
      0.18385545674808992,
      0.18221437275376604,
      0.1805911285105262,
      0.17898552310272137,
      0.1773973583144992,
      0.17582643856299301,
      0.17427257080081812,
      0.17273556437509335,
      0.17121523103307767,
      0.1697113848206353,
      0.16822384203788854,
      0.16675242128433918,
      0.16529694333244,
      0.16385723112246156,
      0.16243310966800178,
      0.16102440599317017,
      0.15963094913928286,
      0.15825257025402115,
      0.15688910246433505,
      0.1555403808062249,
      0.15420624228749294,
      0.1528865258420666,
      0.15158107221397782,
      0.15028972407590432,
      0.14901232593735658,
      0.147748769819554,
      0.1464990710759949,
      0.14526322141928655,
      0.14404116776233333,
      0.14283282616136184,
      0.14163809127473537,
      0.14045684339778225,
      0.13928895323346255,
      0.1381342852703785,
      0.136992700155872,
      0.13586405638567153,
      0.1347482113414086,
      0.13364502223412758,
      0.13255434669614888,
      0.13147604300500706,
      0.13040997044847988,
      0.1293559896294806,
      0.12831396238686169,
      0.12728375624186342,
      0.12626524646415688,
      0.12525830760555273,
      0.12426281305338671,
      0.12327863563965494,
      0.12230564833006317,
      0.12134372469665561,
      0.12039273908679188,
      0.11945256685184419,
      0.11852308454730306,
      0.11760414512110866,
      0.11669555763991456,
      0.11579714556723346,
      0.1149087521632737,
      0.11403023511306197,
      0.1131614328478319,
      0.11230215432064398,
      0.11145222932769257,
      0.11061150871011988,
      0.10977985855710297,
      0.10895715633779496,
      0.10814326454752492,
      0.10733801301797531,
      0.10654124767675509,
      0.10575283377908355,
      0.10497265092792826,
      0.10420058918602594,
      0.10343654651339775,
      0.10268042678198114,
      0.10193213836024971,
      0.10119159309657125,
      0.10045870562104854,
      0.0997333927598812,
      0.09901557316782764,
      0.09830516758423433,
      0.09760210113290249,
      0.09690630067076651,
      0.09621769288757699,
      0.0955362045673193,
      0.09486176270970827,
      0.09419429485586246,
      0.09353372898336561,
      0.09287999369532282,
      0.09223301819559804,
      0.09159273225971994,
      0.09095906641139047,
      0.09033195183473107,
      0.08971132040320397,
      0.08909710476842286,
      0.08848923823567383,
      0.08788765471159898,
      0.08729228883871484,
      0.08670307597351304,
      0.08611995217361884,
      0.08554285414946902,
      0.08497171933277536,
      0.08440648562963468,
      0.08384709179253781,
      0.08329347714012607,
      0.08274558164501261,
      0.08220334589352488,
      0.08166671109236735,
      0.08113561903933973,
      0.08061001225521329,
      0.08008983378143922,
      0.07957502719578716,
      0.0790655367765093,
      0.0785613073477427,
      0.0780622843211717,
      0.07756841377781595,
      0.07707964226626608,
      0.07659591686028906,
      0.07611718526916633,
      0.07564339564842995,
      0.07517449677795682,
      0.07471043790848741,
      0.07425116883563596,
      0.0737966399507434,
      0.07334679334822938,
      0.07290153474442473,
      0.07246077038755945,
      0.07202442059213476,
      0.07159241601289815,
      0.07116469506370676,
      0.07074120173852272,
      0.07032189636632857,
      0.0699067607007658,
      0.06949576605577075,
      0.06908884519046259,
      0.06868592514023665,
      0.06828694277293126,
      0.06789184233876173,
      0.06750057333899336,
      0.06711308936945677,
      0.06672934715163684,
      0.06634930551852407,
      0.06597292515956651,
      0.06560016808300194,
      0.06523099747497237,
      0.06486537734009779,
      0.06450327244765817,
      0.06414464821068083,
      0.06378947051667828,
      0.0634377057540109,
      0.06308932075138435,
      0.0627442827093758,
      0.06240255924147351,
      0.06206411831187542,
      0.061728928155403415,
      0.06139695743719156,
      0.06106817507025093,
      0.06074255037770611,
      0.06042005290670204,
      0.060100652449922125,
      0.05978431922056659,
      0.05947102370158406,
      0.05916073659744764,
      0.05885342899057596,
      0.05854907217150612,
      0.05824763772749113,
      0.05794909754311862,
      0.0576534237991108,
      0.05736058884797714,
      0.05707056541488499,
      0.05678332642779199,
      0.05649884501687288,
      0.05621709470573936,
      0.055938049212729685,
      0.05566168253310967,
      0.055387968882057145,
      0.05511688270243102,
      0.05484839874322761,
      0.05458249199292414,
      0.054319137664638924,
      0.054058311150352915,
      0.05379998820175907,
      0.0535441446892252,
      0.053290756752663974,
      0.05303980080389813,
      0.05279125344735763,
      0.05254509159862778,
      0.05230129229267025,
      0.05205983278507688,
      0.05182069060960354,
      0.051583843388584884,
      0.05134926911785998,
      0.05111694593130155,
      0.05088685219046299,
      0.05065896644774453,
      0.05043326756300923,
      0.05020973448757035,
      0.04998834644588602,
      0.04976908282583986,
      0.04955192313324946,
      0.04933684712480204,
      0.04912383486910878,
      0.04891286646832312,
      0.04870392228894626,
      0.048496982901064904,
      0.048292029031088035,
      0.048089041594525615,
      0.04788800169458953,
      0.0476888906023315
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.78662974730269,
      10.571436130198345,
      10.348053700373942,
      10.11895969847523,
      9.886379812084424,
      9.652282002067656,
      9.418402295155259,
      9.186248270474064,
      8.95712418539565,
      8.73211448313549,
      8.512071344057828,
      8.297607349371997,
      8.08910129801038,
      7.886715330218735,
      7.69042095901953,
      7.500031154011499,
      7.315231845770349,
      7.13561431498665,
      6.960706125094039,
      6.789998985737283,
      6.622972996738037,
      6.459117174573584,
      6.297946438543804,
      6.1390153933133425,
      5.981929294360729,
      5.826352139179545,
      5.672003026841016,
      5.518659677785509,
      5.366174735272629,
      5.214466603658719,
      5.063520852268418,
      4.91339848057536,
      4.764226810702133,
      4.616186455239324,
      4.4695180253546996,
      4.324516679786149,
      4.181521787875813,
      4.040903997355754,
      3.903049503923182,
      3.768354964453897,
      3.6372168958814632,
      3.5100234164428943,
      3.3871360153544057,
      3.268874379703739,
      3.1555102951367524,
      3.0472647794141476,
      2.944309965208204,
      2.8467639565022687,
      2.7546908685305405,
      2.668092062817948,
      2.5869214894406958,
      2.511094384917845,
      2.4404862187597485,
      2.374913088280026,
      2.3141304571625816,
      2.257851581947727,
      2.2057474834773316,
      2.157446833024687,
      2.112546448856397,
      2.070633326964866,
      2.0313332632362284,
      1.994271987742036,
      1.959104372173302,
      1.92555660194425,
      1.8934140436729412,
      1.8625061045762308,
      1.8326961039040102,
      1.803872190773266,
      1.7759409223126863,
      1.7488254560226972,
      1.7224603845173347,
      1.6967923120085198,
      1.671776983042599,
      1.6473770242778443,
      1.6235602948201808,
      1.6002986778690431,
      1.57756719406001,
      1.5553433469243563,
      1.53360663907651,
      1.5123376091262943,
      1.4915176261067453,
      1.4711297277169275,
      1.4511583317417,
      1.4315887909542704,
      1.4124072779954142,
      1.3936007007233635,
      1.3751566344498032,
      1.357063740811023,
      1.3393116041311055,
      1.3218900899101513,
      1.3047893528440453,
      1.2879998606027798,
      1.2715124062953609,
      1.2553181125897201,
      1.2394084295804835,
      1.2237751418122726,
      1.2084105082775551,
      1.1933071742532337,
      1.1784580244449117,
      1.1638562355337652,
      1.149495624314506,
      1.1353704223626124,
      1.121475638103913,
      1.1078067589167429,
      1.0943590583787202,
      1.0811276685419147,
      1.0681076735929873,
      1.055294175118991,
      1.042682335808361,
      1.030267408339647,
      1.0180447549202032,
      1.006009858089904,
      0.9941583274088948,
      0.9824859018574288,
      0.9709884501572847,
      0.9596619695892664,
      0.9485025833673493,
      0.9375065377941384,
      0.9266701984348114,
      0.9159900459658427,
      0.9054626725550927,
      0.8950847776441191,
      0.8848531640347721,
      0.8747647337540918,
      0.8648164846466121,
      0.8550055063511489,
      0.8453289770130273,
      0.8357841596905012,
      0.8263683992939714,
      0.8170791193703846,
      0.8079138192125713,
      0.7988700705518097,
      0.789945302967147,
      0.7811364085588658,
      0.7724404478710939,
      0.7638548438400864,
      0.755377717173387,
      0.7470077144060763,
      0.7387439668841307,
      0.7305854280582683,
      0.7225308228237469,
      0.7145787297316039,
      0.7067276373322554,
      0.6989759837937228,
      0.6913221844904383,
      0.6837646511613369,
      0.6763018044566318,
      0.6689320827694054,
      0.6616539477190346,
      0.6544658880433878,
      0.6473664218447636,
      0.6403540977422827,
      0.6334274955275837,
      0.6265852260314781,
      0.6198259313300407,
      0.6131486237269326,
      0.6065530275164994,
      0.6000387049059693,
      0.5936049668102809,
      0.5872509571023188,
      0.5809757117536035,
      0.5747781992061529,
      0.5686573487714413,
      0.5626120699222272,
      0.5566412656976749,
      0.5507438417192061,
      0.5449187124035199,
      0.5391648050078399,
      0.5334810621115003,
      0.527866443309247,
      0.5223199264838743,
      0.5168405081319409,
      0.511427203487172,
      0.5060790466992995,
      0.5007950904133541,
      0.49557440551457393,
      0.4904160807869998,
      0.4853192227188651,
      0.48028295507505886,
      0.4753064184170509,
      0.4703887696740335,
      0.46552918176683894,
      0.4607268432099576,
      0.45598095777024006,
      0.4512907440303995,
      0.446655434859406,
      0.442074277298866,
      0.4375465320026845,
      0.4330714730958828,
      0.4286483876647315,
      0.4242765755157282,
      0.4199553488734488,
      0.41568403209485033,
      0.41146196117172806,
      0.4072884838107707,
      0.40316295887119846,
      0.39908475628024226,
      0.3950532565365103,
      0.3910678505650629,
      0.38712793954316516,
      0.3832329347231125,
      0.379382257075213,
      0.37557533697947054,
      0.37181161419580355,
      0.3680905376043595,
      0.36441156514973055,
      0.360774163302211,
      0.3571778069519433,
      0.3536219793037245,
      0.3501060575370171,
      0.34662928474165533,
      0.34319097111388414,
      0.3397904993743694,
      0.3364273050227582,
      0.33310086259936267,
      0.3298106764044226,
      0.32655627318685826,
      0.3233371974766103,
      0.32015300811908964,
      0.3170032757713955,
      0.3138875812628272,
      0.3108055141523098,
      0.307756671771275,
      0.3047406585961362,
      0.3017570856560435,
      0.2988055881073766,
      0.295885993390483,
      0.29299819674332034,
      0.2901420126419866,
      0.2873172007472115,
      0.2845234834671735,
      0.28176055854750226,
      0.27902810757464025,
      0.27632580244743127,
      0.27365330961261397,
      0.2710102930720602,
      0.2683964163514781,
      0.265811344215023,
      0.2632547433936433,
      0.26072629479308396,
      0.2582257313654701,
      0.25575278956038333,
      0.2533071900780795,
      0.25088864385066434,
      0.24849687172154925,
      0.24613167420180226,
      0.243792865476781,
      0.2414802293936819,
      0.23919351908213676,
      0.23693242737859077,
      0.23469662376100375,
      0.23248579094492708,
      0.23029962201006754,
      0.22813781842691508,
      0.22600008864315033,
      0.22388614694434905,
      0.22179571292857148,
      0.21972851100808222,
      0.2176842697833444,
      0.21566272200041745,
      0.21366360420012462,
      0.21168665646576384,
      0.20973162243400015,
      0.20779824914867714,
      0.20588628697393405,
      0.20399548948988547,
      0.2021256134346821,
      0.20027639746590067,
      0.1984475494585935,
      0.19663879133796267,
      0.19484986213301486,
      0.19308051370768353,
      0.19133050796213005,
      0.18959961464147757,
      0.18788760974378182,
      0.1861942744954291,
      0.18451939462365735,
      0.18286275963034018,
      0.18122416245912304,
      0.17960339917278756,
      0.17800026879261382,
      0.17641457310827158,
      0.17484611649585888,
      0.17329470578131592,
      0.17176015025110164,
      0.17024226160619765,
      0.16874085385962287,
      0.16725574325335738,
      0.16578674820076447,
      0.16433368938184859,
      0.16289638960334094,
      0.16147467370952223,
      0.16006836870923502,
      0.1586773036547825,
      0.15730130948255647,
      0.15594021925990817,
      0.15459386795520402,
      0.1532620923916914,
      0.15194473143614,
      0.15064162585665633,
      0.14935261829453467,
      0.14807766075797793,
      0.14681677604888826,
      0.14556993376449,
      0.14433706473683805,
      0.1431180729425066,
      0.14191284417805167,
      0.140721251998887,
      0.13954316177138956,
      0.13837843374477332,
      0.13722692498855507,
      0.1360884910182882,
      0.13496298663771117,
      0.13385026675836617,
      0.1327501868241629,
      0.1316626032180124,
      0.13058737345500862,
      0.12952435628994585,
      0.12847341442924295,
      0.12743442012914918,
      0.1264072456179503,
      0.12539176163694635,
      0.12438783840948954,
      0.12339534617465156,
      0.12241415560585263,
      0.12144413826856293,
      0.12048516671202883,
      0.11953711465309808,
      0.11859985698582108,
      0.11767326746831389,
      0.11675717418487702,
      0.1158513854939583,
      0.11495573366411853,
      0.1140700682026843,
      0.1131942489564494,
      0.1123281008811905,
      0.11147143517872361,
      0.11062408911850592,
      0.10978591890606397,
      0.10895679463200299,
      0.10813659651470989,
      0.10732518343659424,
      0.10652238607312305,
      0.10572805342078198,
      0.10494205312235193,
      0.10416426637506052,
      0.10339458446879934,
      0.10263290621509223,
      0.10187913609890267,
      0.10113318296701972,
      0.10039495897499609,
      0.09966437904927307,
      0.09894136020046093,
      0.09822582132201049,
      0.09751768295099138,
      0.0968168698082815,
      0.09612330910662978,
      0.09543692767795837,
      0.094757652540869,
      0.09408541087646023,
      0.09342013018927744,
      0.09276173856470721,
      0.0921101646611894,
      0.09146533771728546,
      0.09082718767542952,
      0.09019564514263681,
      0.08957064134739996,
      0.08895210824525747,
      0.08833997848682999,
      0.08773418540132266,
      0.08713466298261022,
      0.08654134593481874,
      0.08595416963788029,
      0.0853730701602172,
      0.08479798423568886,
      0.08422884926847751,
      0.08366560335329311,
      0.08310818516459066,
      0.08255653413382753,
      0.08201059026747631,
      0.08147029412583418,
      0.0809355869981318,
      0.0804064107938224,
      0.07988270801925049,
      0.07936442176582253,
      0.07885149578332229,
      0.07834387431994412,
      0.0778415022127579,
      0.07734432493541307,
      0.0768522885117468,
      0.07636533957773367,
      0.07588342524200112,
      0.0754064932823424,
      0.07493449194694883,
      0.07446737008527457,
      0.07400507702007474,
      0.07354756258682726,
      0.07309477716231873,
      0.07264666731461876,
      0.07220314579249774,
      0.07176411594814151,
      0.07132950225041125,
      0.07089926301824298,
      0.07047336290054185,
      0.07005176439855354,
      0.0696344285762892,
      0.06922131552366215,
      0.06881238473619268,
      0.06840759548281193,
      0.06800688905235988,
      0.06761018005834027,
      0.06721739165860816,
      0.06682845813586996,
      0.0664433220055405,
      0.06606193188099048,
      0.06568424088390418,
      0.06531020550813332,
      0.06493978476048974,
      0.06457293965811234,
      0.06420963260289664,
      0.06384982726439808,
      0.06349348815214761,
      0.06314058070705125,
      0.06279107099507415,
      0.06244492562321657,
      0.06210211166703085,
      0.06176259667616276,
      0.06142634858635635,
      0.06109333569025138,
      0.0607635265457703,
      0.060436890235645205,
      0.06011339613887134,
      0.05979301381804591,
      0.059475713247568535,
      0.059161464636418484,
      0.058850238601614535,
      0.05854200596798994,
      0.058236737829533626,
      0.05793440562448452,
      0.057634981094132336,
      0.05733843623311814,
      0.057044743240944815,
      0.05675387454718057,
      0.05646580292667543,
      0.056180501431644235,
      0.05589794332804765,
      0.05561810222690883,
      0.05534095194624069,
      0.05506646654908299,
      0.054794620391893624,
      0.05452538804995137,
      0.05425874430095138,
      0.05399466421434877,
      0.05373312309229675,
      0.05347409641781142,
      0.05321756001363756,
      0.052963489890596696,
      0.05271186227185611,
      0.0524626536813058,
      0.05221584085514086,
      0.05197140061620547,
      0.051729310146176384,
      0.051489546800895986,
      0.05125208820021967,
      0.05101691215975445,
      0.050783996686885984,
      0.05055332000629115,
      0.050324860621272956,
      0.050098597121594694,
      0.049874508405313656,
      0.04965257351350143,
      0.04943277175854311,
      0.049215082550865936,
      0.04899948553494265,
      0.04878596063704471,
      0.04857448786264528,
      0.04836504747296187,
      0.048157619917022464,
      0.04795218586374222,
      0.04774872613264438,
      0.047547221647527005,
      0.04734765357498217,
      0.04715000330489789
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.78661402606836,
      10.57138575207894,
      10.347954031449339,
      10.11880020595672,
      9.88615391810706,
      9.651985838653282,
      9.418034324828108,
      9.185808667779053,
      8.956614234710731,
      8.731536007384648,
      8.511426432642741,
      8.296898117335761,
      8.088329691394025,
      7.885882981817451,
      7.68952909717448,
      7.499080562174972,
      7.314222865956363,
      7.13454688958328,
      6.959579868165166,
      6.788813271444542,
      6.621727064466269,
      6.457810245089782,
      6.296577835303089,
      6.137584663830907,
      5.980436330441624,
      5.824797159400244,
      5.67038658899691,
      5.5169832223018735,
      5.364440579113967,
      5.212678001905287,
      5.061681908238617,
      4.911514173510776,
      4.762302792890643,
      4.614229156854763,
      4.467534695416461,
      4.322515281089087,
      4.179510857720619,
      4.038892635879403,
      3.901047341993733,
      3.7663716663577,
      3.635262156532863,
      3.5081069107131815,
      3.3852666580459188,
      3.2670601869499394,
      3.153758278289467,
      3.0455808602268934,
      2.9426987300389054,
      2.8452284895921807,
      2.7532328939795545,
      2.666712229640501,
      2.5856196362476895,
      2.5098696161774963,
      2.4393361121206403,
      2.373833287001841,
      2.3131152813485034,
      2.2568940640878687,
      2.2048400940905433,
      2.1565816875996346,
      2.1117153207012334,
      2.0698283325568085,
      2.030547288053143,
      1.9934980148454282,
      1.9583368216950714,
      1.924791332014493,
      1.8926479839036627,
      1.8617369340531185,
      1.831922104353911,
      1.803091901087667,
      1.775153114779345,
      1.7480292698037725,
      1.7216552510438918,
      1.6959778694022705,
      1.6709530188764055,
      1.646543434187573,
      1.6227170519662633,
      1.5994458102009346,
      1.5767047677413448,
      1.554471455127638,
      1.532725383546752,
      1.5114470832159832,
      1.490617936867087,
      1.4702208643719838,
      1.4502402630471094,
      1.4306615345347415,
      1.4114708857411027,
      1.392655249057675,
      1.3742022162149015,
      1.356100496259897,
      1.3383396867784039,
      1.320909645814309,
      1.3038005219973676,
      1.2870027776896606,
      1.2705072012223237,
      1.2543049108350537,
      1.2383873534290315,
      1.2227464290119947,
      1.2073744627104421,
      1.1922640409281617,
      1.1774080063367829,
      1.1627995375015043,
      1.1484324763629525,
      1.1343010233884654,
      1.120400220661403,
      1.1067255357264962,
      1.0932722060804694,
      1.0800353373466796,
      1.0670099948179537,
      1.0541912657985488,
      1.0415743030310958,
      1.0291543516367456,
      1.0169267679798686,
      1.004887030206108,
      0.9930307441573892,
      0.9813536460674738,
      0.9698516026718985,
      0.958520609661963,
      0.9473567889506728,
      0.9363563855162367,
      0.9255157636198273,
      0.9148314031052226,
      0.9042998950601828,
      0.89391793794779,
      0.8836823338890921,
      0.8735899844710074,
      0.863637886518364,
      0.8538231290807706,
      0.8441428896290804,
      0.8345944307093841,
      0.8251750964177318,
      0.8158823095840639,
      0.8067135688234263,
      0.7976664454754819,
      0.7887383033234888,
      0.7799260230058297,
      0.7712266859002592,
      0.7626379104126603,
      0.7541579467395428,
      0.7457855756681736,
      0.7375198973930771,
      0.7293597476974353,
      0.7213037687922641,
      0.7133504805604665,
      0.7054983301946239,
      0.6977457269608949,
      0.6900910659848303,
      0.6825327445455825,
      0.6750691727926617,
      0.6676987819030022,
      0.6604200283393166,
      0.653231397185031,
      0.6461314038115565,
      0.6391185949380975,
      0.632191548816007,
      0.6253488754395282,
      0.6185892157488101,
      0.6119119186575096,
      0.6053167483168689,
      0.5988031471691162,
      0.5923703423257176,
      0.5860174196038826,
      0.5797433741845757,
      0.5735471461170185,
      0.5674276448545498,
      0.5613837659055934,
      0.5554144026089065,
      0.549518453863736,
      0.5436948290914259,
      0.5379424520282903,
      0.5322602630855153,
      0.5266472204429881,
      0.5211023005717417,
      0.5156244990313813,
      0.5102128303029443,
      0.5048663280094792,
      0.49958404430837067,
      0.49436504980581014,
      0.48920843308105805,
      0.4841133004081818,
      0.4790787751433002,
      0.47410399764448974,
      0.4691881247085566,
      0.4643303290106846,
      0.4595297988526904,
      0.4547857377133873,
      0.45009736390745175,
      0.44546391017702913,
      0.4408846232159901,
      0.4363587634086622,
      0.43188560475876453,
      0.4274644341709181,
      0.42309455115339417,
      0.4187752677137462,
      0.41450590799134357,
      0.4102858078818889,
      0.4061143147819468,
      0.4019907872502837,
      0.3979145948926246,
      0.39388511798703685,
      0.38990174720693843,
      0.3859638835183242,
      0.38207093789643826,
      0.37822233098932645,
      0.37441749305917255,
      0.3706558635922325,
      0.3669368911875031,
      0.36326003339461566,
      0.35962475637389785,
      0.3560305349133493,
      0.3524768367557178,
      0.34896296340131594,
      0.3454881628412582,
      0.34205177188881175,
      0.338653191875773,
      0.33529187146499784,
      0.3319672944587122,
      0.32867897128664103,
      0.3254264330884815,
      0.32220922742879116,
      0.3190269151836007,
      0.31587906839810015,
      0.3127652687642161,
      0.30968510634461216,
      0.30663817866602944,
      0.3036240902811956,
      0.3006424523783872,
      0.2976929346864856,
      0.29477541544673563,
      0.29188976312118403,
      0.2890357736923615,
      0.2862131936034441,
      0.2834217359472323,
      0.28066109163303754,
      0.27793093743031466,
      0.2752309418101289,
      0.2725607685931501,
      0.2699200798310259,
      0.26730853777891617,
      0.26472580614549013,
      0.2621715509175904,
      0.259645471592828,
      0.2571473081215199,
      0.2546767882481665,
      0.2522336265363094,
      0.2498175294207599,
      0.24742826364995954,
      0.24506564979341214,
      0.24272948221698523,
      0.2404195267939233,
      0.2381355110580719,
      0.23587710483477262,
      0.23364397952606,
      0.2314358190978406,
      0.22925231740340002,
      0.22709317646620264,
      0.22495810501611352,
      0.2228468176170731,
      0.22075903397615348,
      0.2186944783682803,
      0.21665287941564748,
      0.2146339697513163,
      0.21263748581976366,
      0.21066316763587417,
      0.20871075874338266,
      0.20678000611846473,
      0.20487065989073272,
      0.20298247344056117,
      0.20111520272920322,
      0.19926857033662607,
      0.1974422827098553,
      0.19563606719774768,
      0.1938496666046691,
      0.192082835558551,
      0.1903353377855906,
      0.1886069443322839,
      0.18689743215563984,
      0.1852065830124396,
      0.18353418293662602,
      0.18188002176798906,
      0.1802438925144456,
      0.1786255913726252,
      0.17702491740168794,
      0.17544167224354906,
      0.17387566027051818,
      0.17232668824458522,
      0.17079456539084137,
      0.1692791032233894,
      0.16778011570876888,
      0.16629741893394667,
      0.1648308312513229,
      0.16338017325858828,
      0.16194526763884362,
      0.1605259391533803,
      0.15912201471032927,
      0.15773332314104543,
      0.15635969544650072,
      0.15500096456030107,
      0.15365696541066867,
      0.152327534822732,
      0.1510125114776574,
      0.14971176376936784,
      0.14842528867044133,
      0.1471530879326354,
      0.14589511376633135,
      0.14465128415192066,
      0.1434214935686596,
      0.1422056204891714,
      0.14100353278215386,
      0.1398150913424983,
      0.13864015265027635,
      0.13747857069470576,
      0.1363301981620692,
      0.13519488756685405,
      0.1340724916367644,
      0.13296286377410635,
      0.1318658583914514,
      0.13078133116767932,
      0.12970914061124728,
      0.12864915448832429,
      0.12760124286974603,
      0.12656527405620455,
      0.12554111560308553,
      0.12452863496576398,
      0.12352770002301389,
      0.12253817949956233,
      0.12155994310524793,
      0.12059286165140377,
      0.11963680715208469,
      0.11869165303110556,
      0.11775727406030129,
      0.11683353070672499,
      0.11592023174500653,
      0.1150171956924568,
      0.11412426198248499,
      0.11324128518973109,
      0.11236811998087703,
      0.11150458069868112,
      0.11065048723902601,
      0.10980568307479045,
      0.10897002890782191,
      0.10814339797855413,
      0.10732567289974373,
      0.10651670920225548,
      0.10571633815154863,
      0.10492441156501792,
      0.10414079896240716,
      0.10336538300917016,
      0.10259805609179538,
      0.10183871775112827,
      0.10108727308480839,
      0.1003436313934021,
      0.09960770514806692,
      0.09887940947284446,
      0.09815866158581793,
      0.09744538048396643,
      0.09673948660892734,
      0.09604090417654065,
      0.09534956053249892,
      0.09466538291123199,
      0.0939882984003239,
      0.09331823437474068,
      0.09265511853743937,
      0.09199887906932314,
      0.09134944467907105,
      0.09070674468662743,
      0.09007070904521781,
      0.08944126835936916,
      0.08881835394996983,
      0.08820189775633164,
      0.08759183248234478,
      0.08698809153553957,
      0.08639060898156334,
      0.08579931960263275,
      0.08521415879982024,
      0.0846350627075112,
      0.08406196805589615,
      0.08349481236051096,
      0.08293353375171238,
      0.08237807093078454,
      0.08182836330292396,
      0.08128435093159803,
      0.08074597448580481,
      0.08021317528184053,
      0.07968589522898267,
      0.07916407684405546,
      0.07864766330325354,
      0.07813659834388388,
      0.07763082630486155,
      0.07713029214407892,
      0.076634941353102,
      0.07614472003307059,
      0.07565957477214495,
      0.07517945283380069,
      0.07470430191457204,
      0.07423407034914073,
      0.07376870704094105,
      0.0733081612994633,
      0.07285238301947129,
      0.07240132500491882,
      0.07195496169997011,
      0.07151324396395295,
      0.07107609405095232,
      0.0706434430394189,
      0.07021522892347382,
      0.06979139463565295,
      0.0693718871291211,
      0.06895665614128062,
      0.06854565360778961,
      0.06813883325009101,
      0.06773615013204458,
      0.0673375604156311,
      0.06694302121948563,
      0.06655246260336466,
      0.06616579799203812,
      0.0657829545969667,
      0.06540386990858589,
      0.06502848895323043,
      0.06465676238121737,
      0.06428864504400493,
      0.06392409486163184,
      0.0635630720739292,
      0.06320553880598286,
      0.06285145861894834,
      0.0625007960980491,
      0.062153516730789796,
      0.061809586693339365,
      0.061468972881243825,
      0.061131642678914765,
      0.060797563918695896,
      0.06046670491479926,
      0.06013903431148567,
      0.059814521129579266,
      0.059493134792323245,
      0.059174845050867474,
      0.05885962188567722,
      0.05854743562495851,
      0.058238256927996994,
      0.05793205668976673,
      0.057628806210879686,
      0.057328476929803224,
      0.05703104056300227,
      0.05673646924290029,
      0.05644473528201118,
      0.05615581130690581,
      0.05586967018003608,
      0.05558628501816743,
      0.055305629237025734,
      0.05502767648268079,
      0.05475240064341468,
      0.05447977594491961,
      0.05420977682144228,
      0.05394237788279994,
      0.05367755402206633,
      0.053415280384476134,
      0.05315553240078938,
      0.05289828565346686,
      0.05264351601044512,
      0.052391199597571686,
      0.05214131274383257,
      0.05189383199380068,
      0.051648734187939374,
      0.051405996340436334,
      0.05116559563853063,
      0.050927509534688116,
      0.05069171574454315,
      0.05045819213753929,
      0.05022691690839114,
      0.04999786832630393,
      0.04977102482836957,
      0.04954636519616409,
      0.049323868412401904,
      0.049103513575647253,
      0.048885280076421136,
      0.048669147443432,
      0.04845509538455067,
      0.04824310388558553,
      0.04803315309711679,
      0.04782522333650857,
      0.0476192951191275,
      0.04741534915211264,
      0.047213366329000125,
      0.047013327737755,
      0.046815214599586964,
      0.04661900832589858
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786598454465373,
      10.571335877826073,
      10.347855390946687,
      10.118642395890756,
      9.885930445252718,
      9.651692892169496,
      9.41767040304366,
      9.185373942939199,
      8.956109982422378,
      8.730964052415864,
      8.510788861551907,
      8.29619703994021,
      8.087567047246665,
      7.885060396244312,
      7.6886477925684105,
      7.498141316282649,
      7.313226021469438,
      7.133492393380178,
      6.958467340573345,
      6.787642095815698,
      6.6204964931120465,
      6.456519514005053,
      6.29522628259453,
      6.136171849729698,
      5.978962158652232,
      5.823261857908538,
      5.668790774839348,
      5.51532838218905,
      5.362728995795683,
      5.2109128923095485,
      5.059867348045807,
      4.909655104401462,
      4.760404818240673,
      4.6122986449638725,
      4.465578820953781,
      4.320541920401412,
      4.177528451779634,
      4.036910177516364,
      3.899074349966924,
      3.7644176869913304,
      3.633336756249407,
      3.5062196297152495,
      3.383426280478005,
      3.265274604349234,
      3.1520343863012728,
      3.0439244761598196,
      2.941114349799688,
      2.8437191209417723,
      2.751800200985996,
      2.6653568155855325,
      2.5843413057751876,
      2.5086674505119877,
      2.438207679475566,
      2.3727742412349473,
      2.3121199587371026,
      2.2559555306425407,
      2.2039508010698254,
      2.1557337573498145,
      2.1109006362562317,
      2.069039117410861,
      2.029776352709298,
      1.9927384782965616,
      1.9575832253832464,
      1.9240396276732037,
      1.891895172081951,
      1.8609807499977489,
      1.8311608733488676,
      1.8023242071681838,
      1.7743777642643492,
      1.7472454177089267,
      1.7208623407901005,
      1.6951755486982667,
      1.6701410834905186,
      1.6457217857969046,
      1.6218856683861274,
      1.5986047235736456,
      1.5758540484816115,
      1.5536112001717883,
      1.5318556675675914,
      1.5105679858188572,
      1.489729582292162,
      1.469323326866269,
      1.4493335097401532,
      1.4297455727863164,
      1.4105457608690037,
      1.391721032545428,
      1.373259005557969,
      1.355148433631383,
      1.3373789204856668,
      1.3199403188152168,
      1.302822772250501,
      1.2860167387383599,
      1.2695130027552073,
      1.253302678914767,
      1.2373773101362981,
      1.2217288802904613,
      1.206349661002215,
      1.191232195674011,
      1.1763692953140343,
      1.1617541473906912,
      1.1473806251074343,
      1.1332429012644634,
      1.1193360545597302,
      1.105655534316526,
      1.0921965431358938,
      1.0789541610740672,
      1.0659234350697409,
      1.053099439227771,
      1.0404773160914478,
      1.0280523037201197,
      1.0158197529141735,
      1.003775137590446,
      0.9919140601281131,
      0.9802322543614108,
      0.9687255849193134,
      0.9573900455708506,
      0.9462217568905492,
      0.9352169625871751,
      0.9243720259185481,
      0.9136834255266606,
      0.9031477518050833,
      0.8927617022607823,
      0.8825220781971854,
      0.8724257802100222,
      0.8624698045629744,
      0.8526512395576932,
      0.8429672619779573,
      0.8334151334822957,
      0.8239921976818974,
      0.8146958769621426,
      0.8055236691203949,
      0.7964731448066505,
      0.7875416027218182,
      0.7787259124972481,
      0.770023209449456,
      0.7614313567209187,
      0.7529486990476643,
      0.7445741223081962,
      0.7363066167510613,
      0.7281449181179107,
      0.7200875980230943,
      0.7121331267818025,
      0.7042799166970203,
      0.6965263523940038,
      0.6888708113235087,
      0.6813116784209372,
      0.6738473553292569,
      0.6664762667938227,
      0.6591968649446788,
      0.6520076316945037,
      0.6449070801093905,
      0.6378937553515388,
      0.6309662343935544,
      0.6241231260395962,
      0.617363243050568,
      0.610686188111433,
      0.604091590896937,
      0.5975787998890983,
      0.5911469764835365,
      0.5847951606989832,
      0.5785223154771787,
      0.5723273583380131,
      0.5662091832414683,
      0.5601666748916454,
      0.5541987188916535,
      0.5483042086269284,
      0.542482049921541,
      0.5367311638950968,
      0.5310504889252814,
      0.5254389816506994,
      0.5198956176849773,
      0.5144193917166451,
      0.5090093178664815,
      0.5036644292383217,
      0.4983837776083477,
      0.4931664332554516,
      0.48801148440129327,
      0.4829180371027067,
      0.4778852146066188,
      0.47291215713610213,
      0.46799802104115695,
      0.4631419788670814,
      0.4583432187147699,
      0.4536009437851953,
      0.44891437205718504,
      0.44428273607603325,
      0.4397052823700341,
      0.43518127138747853,
      0.4307099767082785,
      0.42629068480260596,
      0.4219226950581774,
      0.4176053192637726,
      0.41333788126182053,
      0.4091197166694771,
      0.40495017264301764,
      0.4008286075850832,
      0.39675439077040364,
      0.3927269021439994,
      0.3887455322426406,
      0.3848096817569168,
      0.3809187614721692,
      0.37707219174950146,
      0.3732694025389457,
      0.3695098331627363,
      0.365792931920047,
      0.36211815612406767,
      0.35848497170692906,
      0.3548928530799807,
      0.3513412247568748,
      0.34782932649371084,
      0.34435643881125716,
      0.3409219211457697,
      0.33752519070216014,
      0.3341657070133806,
      0.3308429615412503,
      0.32755647008039057,
      0.32430576744308964,
      0.32109040374477343,
      0.3179099415140396,
      0.3147639539484741,
      0.3116520232414583,
      0.30857373986563835,
      0.3055287016273983,
      0.30251651315142936,
      0.2995367854758721,
      0.2965892466206794,
      0.29367379385300246,
      0.2907902717560757,
      0.2879384592127932,
      0.28511809053560594,
      0.2823288701456254,
      0.2795704827768079,
      0.2768426008460756,
      0.2741448896022426,
      0.2714770105569583,
      0.26883862405033326,
      0.2662293910118886,
      0.2636489739874653,
      0.2610970431334054,
      0.2585733180283259,
      0.2560775361479318,
      0.2536094175185189,
      0.2511686711359532,
      0.2487550239009012,
      0.24636828699330965,
      0.24400826602242123,
      0.241674737348366,
      0.23936745230580142,
      0.23708610683138825,
      0.23483036067438673,
      0.23259988750093447,
      0.2303943727519796,
      0.2282135112508897,
      0.22605700561587685,
      0.22392456503887676,
      0.22181590432478382,
      0.2197307433020998,
      0.21766880642471403,
      0.2156298222714599,
      0.21361352341171885,
      0.21161964615379622,
      0.209647930416954,
      0.20769811954843975,
      0.2057699603014903,
      0.203863202834605,
      0.20197760046455404,
      0.20011290066637963,
      0.1982688136468153,
      0.19644505208533902,
      0.19464134767806227,
      0.19285744624393816,
      0.19109310453617984,
      0.18934808785474969,
      0.18762216821016756,
      0.18591512318365616,
      0.1842267350219297,
      0.18255679002636824,
      0.18090507813296808,
      0.17927139254158583,
      0.17765552941843218,
      0.17605728767088277,
      0.17447646897191837,
      0.17291287758903195,
      0.17136632028434248,
      0.16983660622193644,
      0.16832354686935636,
      0.16682695598849695,
      0.16534664964589502,
      0.16388244600067287,
      0.16243416556313617,
      0.16100163097038234,
      0.1595846668956276,
      0.15818310005887334,
      0.15679675935832948,
      0.15542547557572495,
      0.15406908161548497,
      0.15272741229845227,
      0.15140030435272397,
      0.15008766978171695,
      0.14878952611363663,
      0.14750585390108167,
      0.14623658995706623,
      0.14498164079188935,
      0.14374089226797432,
      0.14251421624154137,
      0.14130147529795758,
      0.1401025260887873,
      0.13891722162078937,
      0.13774541290003592,
      0.13658695003889618,
      0.13544168314889818,
      0.1343094628254354,
      0.1331901404296615,
      0.1320835684231791,
      0.13098960090967202,
      0.12990810079628248,
      0.12883893613235955,
      0.12778197280886633,
      0.12673707575338794,
      0.1257041096683593,
      0.12468293957053281,
      0.12367343117818014,
      0.12267545135119685,
      0.12168886796866579,
      0.12071355012162953,
      0.11974936827154117,
      0.1187961942606712,
      0.117853901289209,
      0.1169223641006486,
      0.11600141826746772,
      0.11509086926996046,
      0.11419054457850969,
      0.11330028998930457,
      0.11241996459260836,
      0.11154941284323566,
      0.11068844456967582,
      0.10983688755205723,
      0.1089945910286518,
      0.10816141972074082,
      0.10733724981942733,
      0.10652196599579969,
      0.10571542084568361,
      0.10491744625016604,
      0.10412789652711105,
      0.1033466431114818,
      0.10257356992320847,
      0.10180857037352357,
      0.10105154474485928,
      0.10030239858313512,
      0.09956104154920409,
      0.09882738647047729,
      0.0981013486780545,
      0.09738284557593231,
      0.09667179624369458,
      0.09596812121055934,
      0.09527174413652645,
      0.09458259234240048,
      0.09390059329474994,
      0.09322567443145431,
      0.09255776319636841,
      0.09189678737278326,
      0.09124267527799754,
      0.0905953556990641,
      0.08995475802747194,
      0.08932081230048707,
      0.08869344914304665,
      0.08807259995990911,
      0.087458196787089,
      0.08685017233665919,
      0.08624846001209162,
      0.08565299395792007,
      0.08506370890854782,
      0.08448054037028399,
      0.08390342451959781,
      0.08333229816781075,
      0.08276709881065554,
      0.08220776456905991,
      0.08165423428192897,
      0.08110644734689468,
      0.08056434389096523,
      0.08002786467017467,
      0.07949695103214822,
      0.07897154496045737,
      0.0784515890257872,
      0.07793702638385516,
      0.07742780082649742,
      0.07692385669823752,
      0.07642513899959887,
      0.07593159323508565,
      0.07544316554618782,
      0.07495980266866784,
      0.07448145190174364,
      0.07400806101238766,
      0.07353957829739947,
      0.07307596788446823,
      0.07261721140211712,
      0.07216328332268426,
      0.07171415097560385,
      0.07126977665725732,
      0.07083010036383793,
      0.07039503056295976,
      0.06996448330219114,
      0.06953838563619015,
      0.0691166728945684,
      0.068699286258547,
      0.06828617140041539,
      0.06787727737578507,
      0.067472555722987,
      0.06707196009686156,
      0.0666754456723639,
      0.0662829686843253,
      0.06589448650553886,
      0.06550995367295784,
      0.06512929611507433,
      0.06475243191073712,
      0.06437929212406703,
      0.06400981728415873,
      0.06364395478754635,
      0.0632816571924865,
      0.0629228810166722,
      0.06256758553775081,
      0.0622157323137802,
      0.06186728458205852,
      0.061522206801445115,
      0.061180464431452496,
      0.060842023902921955,
      0.06050685227745315,
      0.060174917243472396,
      0.05984618695869314,
      0.0595206299929438,
      0.059198215431895074,
      0.05887891260709978,
      0.05856269127577954,
      0.058249521528421805,
      0.05793937377092576,
      0.05763221877496936,
      0.05732802752271959,
      0.05702677123382516,
      0.05672842154585512,
      0.0564329503817001,
      0.056140329881461476,
      0.0558505324370779,
      0.05556353073097668,
      0.05527929776017853,
      0.05499780675955816,
      0.05471903125338743,
      0.054442944907653924,
      0.054169521758212456,
      0.05389873609684095,
      0.05363056236764647,
      0.05336497529664475,
      0.05310194991697444,
      0.052841461484533295,
      0.05258348544485446,
      0.05232799755687816,
      0.05207497379198559,
      0.05182439029436837,
      0.0515762235200645,
      0.05133045010693762,
      0.051087046974365724,
      0.050845991229909744,
      0.05060726015957639,
      0.05037083127262723,
      0.050136682353706684,
      0.049904791373042004,
      0.04967513654990284,
      0.04944769628016665,
      0.0492224491856181,
      0.04899937411313204,
      0.048778450007518286,
      0.04855965613464941,
      0.048342971905047015,
      0.04812837693341601,
      0.047915851070214274,
      0.047705374338921844,
      0.047496926975672586,
      0.047290489355199306,
      0.047086042044504645,
      0.046883565854278296,
      0.04668304176368107,
      0.04648445094470504,
      0.04628777474911106,
      0.046092994689490616
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786583015099412,
      10.571286447035895,
      10.347757653994641,
      10.118486065280504,
      9.885709122238284,
      9.651402811693588,
      9.417310086820226,
      9.184943551175412,
      8.955610774690557,
      8.73039785199504,
      8.510157747178178,
      8.295503112493076,
      8.08681223515935,
      7.884246316701768,
      7.6877756608453005,
      7.497211906773112,
      7.312239675611699,
      7.132449060624991,
      6.957366646519226,
      6.786483432961687,
      6.619279124601191,
      6.4552426865665895,
      6.293889345649281,
      6.134774375706929,
      5.977504061263516,
      5.821743371996506,
      5.667212527186812,
      5.51369186330169,
      5.361036432727314,
      5.209167448455618,
      5.0580730867503485,
      4.907816945013871,
      4.75852832952669,
      4.610390149260546,
      4.463645437592328,
      4.3185914604495395,
      4.175569280222366,
      4.034951203422917,
      3.8971250019018937,
      3.7624874161095403,
      3.631435043357465,
      3.5043559069672985,
      3.381609227043181,
      3.263512012277357,
      3.1503330572889623,
      3.042290140922563,
      2.939551428460596,
      2.8422305580607996,
      2.7503876128717315,
      2.6640207702630994,
      2.5830815799878257,
      2.5074831060691114,
      2.4370962781981445,
      2.3717314153339935,
      2.3111399131043573,
      2.255031279982572,
      2.2030748449782114,
      2.154898283108524,
      2.110097654147341,
      2.0682609712974083,
      2.0290159254479554,
      1.9919889790477583,
      1.9568392979369353,
      1.923297301259713,
      1.891151502665474,
      1.860233515788908,
      1.8304084363786213,
      1.8015651967133175,
      1.7736110197706834,
      1.746470103030376,
      1.7200779066795964,
      1.694381648649007,
      1.669337517471598,
      1.644908459697942,
      1.6210625633529874,
      1.5977718741705258,
      1.5750115266627471,
      1.5527591037110777,
      1.5309940718110437,
      1.5096969723852798,
      1.4888492768733461,
      1.468433862054771,
      1.4484349088123076,
      1.4288378104356259,
      1.40962885944281,
      1.390795047383192,
      1.372324032802399,
      1.354204613319043,
      1.3364263901061275,
      1.318979213760372,
      1.3018532249756198,
      1.2850388789721874,
      1.2685269574835427,
      1.252308658252172,
      1.2363756166304927,
      1.2207197727298125,
      1.2053333538451731,
      1.1902088710196919,
      1.1753391116544896,
      1.1607172938305166,
      1.1463373045407743,
      1.1321933215778706,
      1.1182804448633838,
      1.1045940867980149,
      1.091129420055994,
      1.0778815030496254,
      1.0648453666863538,
      1.0520160733105652,
      1.0393887568916438,
      1.0269586488684848,
      1.014721094752865,
      1.0026715649022844,
      0.9908056590442047,
      0.9791191085500917,
      0.9676077762259563,
      0.9562676542952255,
      0.9450948618549613,
      0.9340856411472123,
      0.9232363542723117,
      0.912543479119824,
      0.9020036051191875,
      0.8916134290537772,
      0.8813697510761239,
      0.8712694710617088,
      0.8613095846222933,
      0.8514871793167045,
      0.8417994312922121,
      0.832243601467006,
      0.822817032856067,
      0.8135171470296884,
      0.8043414412019992,
      0.795287485512771,
      0.7863525135009878,
      0.7775333840126563,
      0.7688273884556511,
      0.7602325798288122,
      0.7517473399978242,
      0.7433706483915682,
      0.7351013685529062,
      0.7269381474213799,
      0.7188794941491479,
      0.7109238348917432,
      0.7030695509792928,
      0.6953150049852778,
      0.6876585590483922,
      0.6800985871144968,
      0.6726334830003742,
      0.6652616659946164,
      0.6579815842768217,
      0.6507917168633897,
      0.6436905747835772,
      0.636676701448872,
      0.6297486728376134,
      0.6229050969714545,
      0.6161450635143589,
      0.6094682907679281,
      0.6028742832946425,
      0.5963623026124079,
      0.5899314496636576,
      0.5835807218071885,
      0.5773090525246137,
      0.5711153387266451,
      0.5649984597935922,
      0.5589572902732638,
      0.5529907086471928,
      0.5470976033938542,
      0.5412768769348411,
      0.5355274478366128,
      0.5298482525790168,
      0.5242382465956344,
      0.5186964047723172,
      0.5132217210293613,
      0.5078132087199583,
      0.502469900502268,
      0.49719084776601213,
      0.4919751205821344,
      0.4868218070597112,
      0.48173001284980443,
      0.4766988609508943,
      0.4717274912591558,
      0.46681506009379947,
      0.4619607396999835,
      0.4571637178314993,
      0.4524231975936918,
      0.44773839688677697,
      0.4431085478324951,
      0.4385328967950973,
      0.4340107038544186,
      0.42954124234218033,
      0.4251237986461207,
      0.42075767182477286,
      0.41644217341620554,
      0.41217662706005226,
      0.40796036816229964,
      0.4037927435021952,
      0.39967311116283544,
      0.39560084032990234,
      0.391575310729105,
      0.38759591267038923,
      0.3836620465290045,
      0.37977312285969195,
      0.3759285616949928,
      0.3721277926808468,
      0.36837025485544733,
      0.36465539630026,
      0.36098267399498535,
      0.35735155357052356,
      0.3537615093432531,
      0.35021188390914376,
      0.34670190653333366,
      0.3432308862397592,
      0.3397982024901128,
      0.33640328637108385,
      0.3330456073262487,
      0.3297246636296035,
      0.32643997580450274,
      0.32319108178099004,
      0.3199775337756886,
      0.3167988958904542,
      0.313654742180981,
      0.3105446554678671,
      0.3074682264802974,
      0.30442505315115603,
      0.30141474012542013,
      0.29843689834034526,
      0.2954913220724346,
      0.29257791707840525,
      0.2896965045792708,
      0.2868468470046035,
      0.2840286669099554,
      0.2812416603508271,
      0.2784855061506684,
      0.27575987239493754,
      0.27306442115506185,
      0.2703988116768157,
      0.2677627026938663,
      0.26515575396494384,
      0.26257762709093463,
      0.2600280045643207,
      0.25750662080009573,
      0.25501320388691195,
      0.25254746715480214,
      0.2501091170267766,
      0.24769793276624447,
      0.24531373314040017,
      0.24295630487256062,
      0.24062540689093073,
      0.23832076854935177,
      0.23604206051824825,
      0.23378894356528399,
      0.23156109290512386,
      0.22935819511131425,
      0.22717994587940074,
      0.22502604832685139,
      0.2228962119127385,
      0.22079015157834708,
      0.21870758719547148,
      0.21664824316739445,
      0.21461184799034544,
      0.2125981341305186,
      0.21060683784756717,
      0.2086376989632865,
      0.20669046075385725,
      0.20476486981204697,
      0.2028606761594052,
      0.20097763293407536,
      0.19911547444044872,
      0.19727390481876564,
      0.1954526425208743,
      0.1936514232247956,
      0.19186999561774376,
      0.19010811849735068,
      0.18836555842967184,
      0.18664208834935062,
      0.1849374864226483,
      0.1832515353471292,
      0.18158402171656648,
      0.17993473558862547,
      0.17830347015189482,
      0.176690021593155,
      0.17509418884614286,
      0.17351577352631944,
      0.17195457982268192,
      0.17041041438422955,
      0.16888308622619946,
      0.1673724067576904,
      0.1658781896508639,
      0.16440025089488397,
      0.16293840869758727,
      0.16149248334914432,
      0.1600622973655138,
      0.158647675301191,
      0.1572484438035621,
      0.15586443153356783,
      0.15449546928950963,
      0.15314138983861814,
      0.15180203365473108,
      0.1504773628777348,
      0.14916739562777276,
      0.14787209368451443,
      0.14659137996994656,
      0.1453251507559851,
      0.14407328399578695,
      0.14283564549683936,
      0.1416120929531449,
      0.14040247904807926,
      0.13920665350607847,
      0.13802446447666147,
      0.1368557595104392,
      0.13570038629639322,
      0.13455819331590282,
      0.13342902994541078,
      0.132312746828728,
      0.1312092011496618,
      0.13011825773425503,
      0.12903978025585944,
      0.12797363106246404,
      0.1269196722051637,
      0.1258777658413086,
      0.12484777477096495,
      0.12382956275249307,
      0.12282299471276201,
      0.12182793684038815,
      0.12084425661953968,
      0.11987182285544057,
      0.11891050596494038,
      0.11796017771956101,
      0.11702071127918533,
      0.11609197126809406,
      0.11517377288684041,
      0.11426592886851489,
      0.11336827422098068,
      0.11248066008329423,
      0.11160294933791852,
      0.1107349721960593,
      0.10987653832578127,
      0.10902748292247946,
      0.1081876604077655,
      0.10735693925675059,
      0.10653519834884834,
      0.10572232297125014,
      0.1049181634243571,
      0.10412255362692552,
      0.10333535008146742,
      0.10255642577513831,
      0.10178566589682862,
      0.10102296462570722,
      0.10026822292118581,
      0.09952134679033767,
      0.09878224626830817,
      0.09805083442669085,
      0.09732702681956931,
      0.09661074095190678,
      0.0959018960158427,
      0.09520041260156431,
      0.0945062138951014,
      0.09381922718616838,
      0.09313938016183312,
      0.09246660042112888,
      0.09180081563110525,
      0.09114195367035181,
      0.09048994289376626,
      0.0898447123038594,
      0.08920619132972325,
      0.08857431003389732,
      0.08794899907334812,
      0.08733018988538882,
      0.0867178145135925,
      0.08611180581808695,
      0.08551209728762334,
      0.08491862305150608,
      0.08433131780454059,
      0.08375011719866196,
      0.08317495741101963,
      0.08260577527074311,
      0.08204250834997093,
      0.08148509483165577,
      0.08093347356421329,
      0.08038758396912345,
      0.07984736627845171,
      0.07931276121858205,
      0.07878371017929005,
      0.07826015516592384,
      0.07774203875701266,
      0.07722930429625594,
      0.07672189555598752,
      0.07621975694976448,
      0.0757228335147579,
      0.07523107085849874,
      0.07474441512694968,
      0.07426281771419574,
      0.0737862542011078,
      0.07331470275718896,
      0.0728481326554822,
      0.07238650701740222,
      0.07192978462645001,
      0.0714779213495419,
      0.07103087115578559,
      0.07058858679706767,
      0.0701510119005902,
      0.0697180548179341,
      0.06928962411356202,
      0.0688656415739009,
      0.06844603853795722,
      0.06803075351568035,
      0.06761973032708836,
      0.06721291654851902,
      0.06681026277152678,
      0.06641172192758846,
      0.06601724870160602,
      0.06562679912376025,
      0.06524033038597433,
      0.06485780057411107,
      0.06447916848909446,
      0.06410438736137754,
      0.06373338110500165,
      0.06336607194807706,
      0.06300239413859295,
      0.062642290647169,
      0.06228571094137986,
      0.06193260939951352,
      0.06158294387349074,
      0.06123667492072756,
      0.060893765208601944,
      0.060554178920754466,
      0.060217881490793906,
      0.05988483930531902,
      0.059555019621079064,
      0.059228390256276,
      0.0589049196402101,
      0.058584576706359595,
      0.0582673308160002,
      0.05795315167397997,
      0.05764200943331841,
      0.05733387447419855,
      0.05702871760656601,
      0.05672650990244243,
      0.05642722269771231,
      0.0561308277032041,
      0.055837296916725315,
      0.055546602580659354,
      0.05525871714390969,
      0.05497361339938524,
      0.05469126440660454,
      0.054411643497902666,
      0.054134724235101274,
      0.05386048048129802,
      0.053588886317968085,
      0.05331991610937309,
      0.053053544428032146,
      0.05278974616538929,
      0.052528496383106964,
      0.05226977037471431,
      0.052013543728348995,
      0.05175979227916788,
      0.051508492075481756,
      0.051259619396579824,
      0.05101315076525066,
      0.05076906289425371,
      0.05052733272577062,
      0.05028793741144814,
      0.050050854385406324,
      0.049816061336494515,
      0.04958353605446206,
      0.04935325661996171,
      0.04912520134433845,
      0.048899348719918315,
      0.04867567739330894,
      0.04845416622515758,
      0.04823479434743258,
      0.048017541046980895,
      0.04780238581811274,
      0.04758930855296604,
      0.047378289004745916,
      0.047169307313204754,
      0.04696234378365411,
      0.04675737885466177,
      0.04655439318695756,
      0.04635336768001747,
      0.04615428339436122,
      0.045957121518798494,
      0.04576186345274855,
      0.045568490816221566
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786567699629396,
      10.571237432456641,
      10.347660765323377,
      10.118331120954457,
      9.885489838874376,
      9.65111545981167,
      9.41695320291188,
      9.184517299856624,
      8.955116412714002,
      8.729837194661792,
      8.509532862144672,
      8.294816085160148,
      8.086064980407658,
      7.88344043902997,
      7.6869123644282915,
      7.4962919576894045,
      7.31126341052567,
      7.131416427560961,
      6.9562772738493805,
      6.785336717528246,
      6.618074337022235,
      6.453979082911157,
      6.292566285520264,
      6.133391441612917,
      5.976061175068741,
      5.820240775440298,
      5.66565085073681,
      5.512072596631267,
      5.35936179599641,
      5.2074405931561545,
      5.056298057622642,
      4.905998633507002,
      4.756672264640502,
      4.6085026033052685,
      4.461733469719935,
      4.316662811397739,
      4.173632237393752,
      4.033014590211012,
      3.895198153307588,
      3.7605796862152028,
      3.6295559113503053,
      3.50251469137066,
      3.379814496845148,
      3.261771454351619,
      3.1486533758036663,
      3.040676978834071,
      2.9380091292253834,
      2.8407620006706633,
      2.7489943620005257,
      2.662703353493147,
      2.5818397440390775,
      2.5063158911223717,
      2.436001236618181,
      2.3707039512955403,
      2.310174050743153,
      2.254120119943656,
      2.202210919172914,
      2.1540738522416154,
      2.1093047660568116,
      2.0674921368458103,
      2.0282641800084216,
      1.9912476761603146,
      1.956103195032563,
      1.9225625135850604,
      1.890415144646504,
      1.8594934111125796,
      1.82966298862762,
      1.8008130675954117,
      1.7728510720058923,
      1.7457015182369506,
      1.7193001487293817,
      1.6935943801802629,
      1.6685405451690967,
      1.6441016940160502,
      1.6202459886930667,
      1.5969455275313513,
      1.5741754819497848,
      1.551913460149019,
      1.5301388787223131,
      1.5088323215018753,
      1.4879753012088863,
      1.467550699074009,
      1.4475426738253026,
      1.4279364938794943,
      1.408718454716,
      1.3898755890648526,
      1.3713956023104077,
      1.353267339542614,
      1.3354804028982983,
      1.3180246424392883,
      1.3008901982341357,
      1.2840675237516421,
      1.2675474891825784,
      1.2513213777858128,
      1.235380782131531,
      1.219717598836799,
      1.2043240236396608,
      1.1891925440379882,
      1.1743159304686237,
      1.1596874500440104,
      1.1453009890941632,
      1.1311507392820468,
      1.1172318204946703,
      1.1035396062265581,
      1.0900692407838521,
      1.076815762273696,
      1.063774187151567,
      1.0509395665003598,
      1.0383070259496536,
      1.025871790642943,
      1.0136292019841289,
      1.0015747265202275,
      0.9897039610178083,
      0.978012634679014,
      0.966496608213623,
      0.9551518721717167,
      0.9439745444444594,
      0.9329608661737427,
      0.922107198205547,
      0.9114100175230525,
      0.9008659126868351,
      0.8904715795406577,
      0.8802238177295358,
      0.8701195261831647,
      0.8601556994784849,
      0.8503294245525543,
      0.8406378767270827,
      0.8310783164438179,
      0.8216480860246728,
      0.8123446063780154,
      0.8031653741824736,
      0.794107958755301,
      0.7851695290731989,
      0.7763469331827422,
      0.7676377270273017,
      0.7590400106700873,
      0.7505523086787936,
      0.7421735757820813,
      0.7339025630018086,
      0.725737838119729,
      0.7176778545811908,
      0.7097209992065825,
      0.7018656254644504,
      0.6941100765544819,
      0.6864527007416236,
      0.678891862100449,
      0.6714259474994207,
      0.6640533713598252,
      0.6567725783656878,
      0.6495820449845083,
      0.642480280322718,
      0.635465826328899,
      0.6285372580174018,
      0.6216932322199566,
      0.614933149817172,
      0.6082567185025051,
      0.6016633308040917,
      0.5951521702257734,
      0.5887222831393976,
      0.5823726288824942,
      0.5761021143517409,
      0.5699096178592209,
      0.5637940058421075,
      0.5577541437301322,
      0.5517889037837611,
      0.5458971699600484,
      0.5400778414286344,
      0.5343298343988426,
      0.5286520840771864,
      0.5230435444743876,
      0.5175031894008264,
      0.5120300124199517,
      0.5066230263985898,
      0.5012812635998811,
      0.4960037751019222,
      0.49078963056152985,
      0.48563791789421484,
      0.4805477426186794,
      0.4755182272993755,
      0.47054851159815664,
      0.4656377515132921,
      0.4607851191807671,
      0.45598980214591645,
      0.4512510033270284,
      0.4465679402750586,
      0.4419398450006602,
      0.4373659636083174,
      0.4328455557888502,
      0.4283778947057567,
      0.42396226651387153,
      0.41959797017261713,
      0.4152843168681218,
      0.41102062996020017,
      0.406806244616537,
      0.402640507363505,
      0.39852277601181557,
      0.39445241944983267,
      0.390428817305696,
      0.38645135952868936,
      0.38251944627275836,
      0.37863248764961965,
      0.3747899035309446,
      0.3709911233999572,
      0.3672355860497097,
      0.36352273923010076,
      0.3598520395996837,
      0.3562229526526779,
      0.35263492495296556,
      0.3490872301044173,
      0.3455791147965953,
      0.34210991256791334,
      0.33867902010779327,
      0.3352858805265364,
      0.33192997152735987,
      0.3286107973326358,
      0.32532788246521166,
      0.32208076765589305,
      0.31886900694733206,
      0.31569216564087427,
      0.3125498185068445,
      0.30944154874903,
      0.30636694736367964,
      0.3033256123444558,
      0.30031714834167716,
      0.2973411990470123,
      0.29439760965894174,
      0.2914862609791122,
      0.28860695563689054,
      0.2857594429002678,
      0.28294343588867527,
      0.28015862385438955,
      0.2774046808128851,
      0.2746812713553573,
      0.271988055078206,
      0.269324689404282,
      0.2666908315697633,
      0.26408614026851884,
      0.26151027638740126,
      0.25896294422410965,
      0.25644388064181084,
      0.253952805409793,
      0.2514894259893369,
      0.2490534801181642,
      0.24664478138291068,
      0.24426312817686963,
      0.24190828995973207,
      0.2395800118672118,
      0.2372779965198135,
      0.23500189942250702,
      0.23275138427798336,
      0.23052612833953892,
      0.22832581944510014,
      0.22615015412741468,
      0.22399883609404,
      0.2218715751350778,
      0.2197680864040838,
      0.2176880897893309,
      0.21563130981915024,
      0.21359747501939874,
      0.21158631771311048,
      0.20959757402035692,
      0.20763098357457432,
      0.20568628957848717,
      0.20376323858866063,
      0.20186158047386651,
      0.1999810672877964,
      0.1981214176243283,
      0.19628233432262554,
      0.19446354126041185,
      0.19266477787004357,
      0.1908857954950358,
      0.18912635470398845,
      0.18738622332353544,
      0.18566517513169842,
      0.18396298888865112,
      0.18227944765073922,
      0.18061433822505935,
      0.17896745078819185,
      0.17733857859117827,
      0.1757275178645186,
      0.17413406750273555,
      0.17255802908771653,
      0.17099920662683007,
      0.1694574067307555,
      0.16793243835368968,
      0.16642411278191382,
      0.16493224362288253,
      0.16345664670557652,
      0.16199714010839367,
      0.16055354408537847,
      0.15912568099258412,
      0.15771337532895344,
      0.1563164536880248,
      0.15493474463338286,
      0.15356807887260726,
      0.15221632188794523,
      0.15087947466546459,
      0.14955753417265383,
      0.14825044673046653,
      0.14695812389031288,
      0.1456804532945496,
      0.14441730630772387,
      0.14316854337634125,
      0.141934018034954,
      0.14071357937651016,
      0.13950707408493507,
      0.13831434754083266,
      0.13713524479391878,
      0.13596961141868374,
      0.13481729374736032,
      0.13367813921939717,
      0.13255199897198697,
      0.1314387341745398,
      0.130338206425162,
      0.1292502756765777,
      0.12817480116752977,
      0.12711164216650891,
      0.12606065851094528,
      0.12502171090608308,
      0.12399466122648004,
      0.12297937254774685,
      0.1219757092966126,
      0.12098353732933942,
      0.12000272398295805,
      0.11903313804259356,
      0.11807464977746836,
      0.11712713098191105,
      0.11619045493897759,
      0.11526446641854263,
      0.11434897059512307,
      0.11344378967446707,
      0.11254876539540674,
      0.11166375366443883,
      0.11078861298955008,
      0.10992316244841742,
      0.10906721922750659,
      0.10822062467789523,
      0.10738323766527899,
      0.10655492993592294,
      0.10573558272808516,
      0.1049250806101528,
      0.10412327172114544,
      0.10332999272472503,
      0.10254510214143354,
      0.10176847441044028,
      0.10099999576498496,
      0.10023956119645527,
      0.09948707213270606,
      0.0987424350827089,
      0.09800556037698901,
      0.09727636131050897,
      0.09655475356422291,
      0.09584065481983164,
      0.0951339844268596,
      0.09443466312042052,
      0.09374261358988743,
      0.09305776282402084,
      0.09238003877859223,
      0.09170936919250987,
      0.09104568197331186,
      0.09038890523313968,
      0.08973896741464567,
      0.0890957974941769,
      0.08845932498325959,
      0.08782948002758172,
      0.08720619343819566,
      0.08658939667427,
      0.08597902182824453,
      0.08537500165786899,
      0.08477726977328659,
      0.08418576033116845,
      0.0836004081952592,
      0.0830211489531024,
      0.082447918808281,
      0.0818806546181877,
      0.08131929401352467,
      0.08076377529831587,
      0.08021403728226688,
      0.07967001954752852,
      0.07913166221921125,
      0.07859890611300371,
      0.078071692675612,
      0.0775499639210789,
      0.07703366257616169,
      0.07652273183375008,
      0.07601711556616676,
      0.07551675827702915,
      0.07502161958944878,
      0.07453167921648637,
      0.07404691016857849,
      0.07356727756958269,
      0.07309274101890616,
      0.07262325636633843,
      0.07215877698841928,
      0.07169925449878527,
      0.07124463957232145,
      0.0707948823012741,
      0.07034993245359208,
      0.06990973989542039,
      0.06947425247367568,
      0.06904338662980514,
      0.06861704570857245,
      0.06819514772139311,
      0.06777762136150826,
      0.0673644032271727,
      0.06695543569883027,
      0.0665506654529155,
      0.06615004242129337,
      0.06575351904353002,
      0.06536104966561308,
      0.06497259011782398,
      0.06458809744774131,
      0.06420752957202631,
      0.06383084544711544,
      0.06345800458531016,
      0.06308896711371464,
      0.06272368596762476,
      0.062362084633087546,
      0.06200408850831822,
      0.06164963433977933,
      0.06129866721812427,
      0.06095113823356483,
      0.06060700316286901,
      0.06026622111722885,
      0.05992875381412348,
      0.05959456484927133,
      0.059263619361082584,
      0.0589358837390378,
      0.05861132515276759,
      0.05828991162773832,
      0.05797161174909018,
      0.05765639466018361,
      0.0573442299838691,
      0.05703508779962075,
      0.05672893850147439,
      0.05642575288330686,
      0.05612550212033661,
      0.055828157644200356,
      0.05553369119700095,
      0.05524207480715373,
      0.05495328074071286,
      0.05466728163519635,
      0.054384050297361895,
      0.05410355986759035,
      0.053825783807558356,
      0.05355069576155713,
      0.053278269692400335,
      0.05300847980854563,
      0.05274130046667363,
      0.0524767064374275,
      0.05221467268930733,
      0.05195517439920356,
      0.05169818690961102,
      0.0514436858867982,
      0.051191647235533204,
      0.0509420471226988,
      0.05069486192552178,
      0.05045006819679621,
      0.0502076427068289,
      0.049967562572244786,
      0.04972980506484543,
      0.049494347624737804,
      0.04926116799167806,
      0.04903024407678113,
      0.048801554063880946,
      0.048575076318001106,
      0.0483507894090181,
      0.04812867208522575,
      0.047908703282502005,
      0.047690862201051114,
      0.04747512830054144,
      0.047261481130692166,
      0.04704990048056381,
      0.04684036629934153,
      0.04663285886617186,
      0.046427358573220015,
      0.046223845909396315,
      0.04602230157497614,
      0.0458227065715199,
      0.04562504196856878,
      0.045429289049075096,
      0.045235429315829113,
      0.04504344449223722
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786552504291768,
      10.571188597948275,
      10.347564285276164,
      10.118176944495612,
      9.885271774147622,
      9.650829801299796,
      9.416598496872858,
      9.184093739102353,
      8.954625269845026,
      8.729280294666744,
      8.50891227741502,
      8.294133903225216,
      8.085323114981865,
      7.882640491679511,
      7.686055537808959,
      7.49537901682342,
      7.310294692700681,
      7.13039188355004,
      6.955196535453974,
      6.784199188679265,
      6.6168792958221445,
      6.452725793883646,
      6.29125411751107,
      6.132019985069781,
      5.974630359014085,
      5.818750847177867,
      5.664102443457648,
      5.51046719814929,
      5.3577016198966305,
      5.2057287803643835,
      5.054538635978023,
      4.904196470485342,
      4.754832855717879,
      4.60663217814337,
      4.459839036754749,
      4.314752054027318,
      4.171713377222058,
      4.031096377142325,
      3.8932898438284393,
      3.7586905525668746,
      3.6276953452906406,
      3.5006919220990382,
      3.3780380056977743,
      3.260048844549847,
      3.146991273671862,
      3.039080955844789,
      2.9364834660889008,
      2.839309523575796,
      2.747616596276652,
      2.661400797694635,
      2.5806121223467615,
      2.5051622285815034,
      2.434919081252919,
      2.3696887186528026,
      2.3092197888176225,
      2.253219963450413,
      2.201357417627077,
      2.153259302570776,
      2.108521185648499,
      2.066732124309446,
      2.0275208533225255,
      1.9905144695297003,
      1.9553749310625912,
      1.9218353581094847,
      1.8896862507060264,
      1.8587606324325232,
      1.8289247520266716,
      1.80006805418175,
      1.7720981585709255,
      1.7449398973226846,
      1.718529293107247,
      1.6928139593249807,
      1.6677503708618668,
      1.6433016801405695,
      1.619436122201476,
      1.596125847427701,
      1.573346063883106,
      1.5510744048059406,
      1.5292902268208148,
      1.507974144760297,
      1.4871077426491854,
      1.4666739039242682,
      1.4466567874647571,
      1.4270416248921927,
      1.4078145898460914,
      1.3889627257986372,
      1.3704737953534856,
      1.3523366989378665,
      1.3345410451066797,
      1.3170766872955262,
      1.299933785367965,
      1.2831029001790475,
      1.2665749462279419,
      1.250341158292035,
      1.2343930905766844,
      1.2187226114442917,
      1.2033218960951235,
      1.1881834166619172,
      1.173299932322516,
      1.1586647632702178,
      1.1442717975193544,
      1.1301152429301176,
      1.116190240748362,
      1.1024921266353105,
      1.0890160177910586,
      1.0757569326576542,
      1.0627098726973676,
      1.0498698783999088,
      1.03723206771275,
      1.0247916598280722,
      1.0125439910040805,
      1.0004845243037568,
      0.9886088539522481,
      0.9769127068342516,
      0.9653919418146122,
      0.9540425477600789,
      0.9428606411868583,
      0.9318424619608362,
      0.9209843701013092,
      0.9102828415987653,
      0.899734463950752,
      0.8893359321160752,
      0.8790840447726459,
      0.8689757001504002,
      0.8590078923374925,
      0.8491777075294454,
      0.8394823202511515,
      0.8299189900349445,
      0.8204850584788859,
      0.8111779458959243,
      0.8019951480842205,
      0.7929342283566251,
      0.783992293859634,
      0.7751663000207079,
      0.7664540148842087,
      0.7578535165439867,
      0.7493634660287133,
      0.7409827579568073,
      0.7327100451448928,
      0.7245438261643831,
      0.7164825057326755,
      0.7085244362804984,
      0.7006679469505778,
      0.6929113637809459,
      0.6852530229476232,
      0.6776912800165346,
      0.6702245158016914,
      0.6628511404626715,
      0.6555695951764572,
      0.6483783541488009,
      0.6412759250482782,
      0.6342608486379817,
      0.627331698835545,
      0.6204873056331013,
      0.613727322202473,
      0.607051320152188,
      0.6004585984449973,
      0.5939482750812569,
      0.5875193508435181,
      0.5811707532157901,
      0.5749013669002783,
      0.5687100546953631,
      0.5625956721383194,
      0.5565570771847353,
      0.5505931363871872,
      0.5447027300393463,
      0.5388847547820678,
      0.5331381249573275,
      0.5274617740934803,
      0.5218546553354755,
      0.5163157418457158,
      0.5108440264930949,
      0.505438521725198,
      0.5000982593478467,
      0.4948222901389974,
      0.4896096836815481,
      0.484459527451263,
      0.47937092668835646,
      0.4743430038836872,
      0.46937489841721397,
      0.46446576612118634,
      0.4596147787444063,
      0.45482112370029876,
      0.45008400359247835,
      0.44540263577304406,
      0.44077625201160736,
      0.4362040981230234,
      0.43168543375962676,
      0.42721953175822236,
      0.4228056780601935,
      0.41844317136660014,
      0.414131322605684,
      0.40986945477287584,
      0.40565690268648413,
      0.40149301286393396,
      0.3973771428581877,
      0.39330866122430413,
      0.3892869470996257,
      0.385311390314477,
      0.3813813908129391,
      0.3774963584273311,
      0.37365571277756354,
      0.36985888309273485,
      0.3661053077269056,
      0.36239443436113394,
      0.35872571949351995,
      0.35509862821010496,
      0.35151255345611365,
      0.3479667213570294,
      0.34446040988379595,
      0.3409929745496402,
      0.33756382716384137,
      0.3341724214565544,
      0.33081824266048004,
      0.3275007999709765,
      0.32421962137337185,
      0.3209742500445061,
      0.31776424160269784,
      0.31458916228732825,
      0.31144858750105636,
      0.3083421009525287,
      0.3052692937351167,
      0.3022297638102096,
      0.2992231158296437,
      0.2962490322923633,
      0.2933074023892284,
      0.29039808113259297,
      0.28752085295166213,
      0.28467545419981966,
      0.2818615888418019,
      0.27907893954168694,
      0.27632717558000197,
      0.2736059582398117,
      0.270914944572999,
      0.2682537902487762,
      0.26562215109950726,
      0.2630196848728844,
      0.2604460612312859,
      0.2579010020726373,
      0.25538423673189603,
      0.2528954781638481,
      0.25043443820183037,
      0.2480009048474592,
      0.2455946897798483,
      0.24321557326669063,
      0.24086330826512733,
      0.23853762527543917,
      0.23623819902702872,
      0.23396467947273447,
      0.23171673302757678,
      0.22949403886452174,
      0.2272962861705714,
      0.22512317223546585,
      0.22297440130212504,
      0.2208496835389411,
      0.2187487342952446,
      0.21667127361243066,
      0.21461702593773627,
      0.21258571972190396,
      0.21057708735779546,
      0.20859086478464534,
      0.20662679157191877,
      0.20468461083385842,
      0.2027640689365387,
      0.20086491556900088,
      0.198986894285663,
      0.19712971128217033,
      0.1952930757206829,
      0.19347671576538691,
      0.19168037396896878,
      0.18990380380538877,
      0.18814676727123938,
      0.18640903329221112,
      0.18469037631797902,
      0.18299057559685405,
      0.1813094144398206,
      0.17964667971353174,
      0.17800216170034616,
      0.1763756537012616,
      0.17476695183866073,
      0.17317585500715185,
      0.17160216462871863,
      0.17004568479711332,
      0.16850622194638618,
      0.1669835849269333,
      0.165477584980461,
      0.16398803557551048,
      0.16251475244693014,
      0.16105755361632892,
      0.15961625918404254,
      0.15819069139427594,
      0.1567806747133133,
      0.1553860355834081,
      0.1540066025579666,
      0.1526422826827952,
      0.15129309227919377,
      0.14995900924606553,
      0.14863996606174018,
      0.14733586376806704,
      0.14604658202174994,
      0.14477198595142549,
      0.14351193116365416,
      0.1422662670948862,
      0.14103483945440556,
      0.13981749193912518,
      0.13861406732227924,
      0.13742440835939793,
      0.13624835833668997,
      0.13508576149945753,
      0.13393646403012954,
      0.13280032150760293,
      0.1316771935734007,
      0.13056693775372774,
      0.12946941068256612,
      0.128384468766682,
      0.1273119688996772,
      0.12625176867451068,
      0.12520372684594525,
      0.12416770337686978,
      0.12314355962854404,
      0.12213115827540923,
      0.12113036356169105,
      0.12014104114318593,
      0.11916305829668379,
      0.11819628380404015,
      0.11724058790515435,
      0.11629584245951971,
      0.11536191614138594,
      0.11443863070628696,
      0.11352579302993478,
      0.11262323369884257,
      0.11173080034536383,
      0.11084835317661149,
      0.1099757428306904,
      0.109112779882063,
      0.10825928977133253,
      0.10741511971057824,
      0.10658013273210346,
      0.10575420358557182,
      0.10493721562808722,
      0.1041290526679389,
      0.10332956062351523,
      0.10253857887709496,
      0.10175596796730774,
      0.10098160371640416,
      0.10021537346716869,
      0.09945717286659479,
      0.09870690402394566,
      0.0979644738459374,
      0.09722979295681974,
      0.09650277484237055,
      0.09578333535455562,
      0.09507139237792377,
      0.09436686535735644,
      0.09366967511150052,
      0.09297974401365781,
      0.0922969985388026,
      0.09162136702378494,
      0.090952777428345,
      0.09029115785522666,
      0.08963643653598351,
      0.08898854197618888,
      0.08834740325438298,
      0.08771294996007013,
      0.08708511228656425,
      0.08646382112599366,
      0.08584900796320119,
      0.08524060498816254,
      0.08463854504563238,
      0.08404276165063115,
      0.08345318903844218,
      0.08286976213455695,
      0.08229241652056282,
      0.08172108847917549,
      0.08115571498751875,
      0.08059623359866433,
      0.0800425826051139,
      0.07949470096645166,
      0.07895252825876053,
      0.07841600469925643,
      0.07788507114809169,
      0.07735966899469496,
      0.07683974036108833,
      0.07632522912788788,
      0.0758161031531887,
      0.0753123415900397,
      0.07481391324128957,
      0.07432077969209397,
      0.07383289758560271,
      0.07335022013495528,
      0.07287269823698417,
      0.07240028152288883,
      0.0719329186372627,
      0.07147055777731826,
      0.0710131469693526,
      0.07056063428751126,
      0.0701129680215162,
      0.06967009677215878,
      0.06923196945568433,
      0.0687985354428901,
      0.0683697217616997,
      0.06794543125120342,
      0.06752557828777721,
      0.06711008902964437,
      0.06669889824845904,
      0.06629194698308595,
      0.06588918099704358,
      0.06549054960740414,
      0.06509600476913843,
      0.06470550054820429,
      0.06431899259652527,
      0.06393643780153782,
      0.06355779416655175,
      0.06318302047260946,
      0.06281207629646066,
      0.06244492184387283,
      0.06208151791906799,
      0.06172182580104721,
      0.0613657990281444,
      0.06101336204839498,
      0.06066444261281773,
      0.06031897927039755,
      0.05997691871167419,
      0.05963821344931034,
      0.059302820421500896,
      0.05897069980653464,
      0.058641814247685234,
      0.05831612833569117,
      0.05799360796514595,
      0.05767422023048219,
      0.057357933160986356,
      0.05704471552328704,
      0.05673453659787819,
      0.05642736632353599,
      0.05612317502437812,
      0.055821933345145514,
      0.055523612445411485,
      0.05522818379816797,
      0.0549356191994842,
      0.054645890763638634,
      0.05435897083979508,
      0.054074832050644096,
      0.05379344739233121,
      0.05351479009749859,
      0.053238833629360924,
      0.05296555174688855,
      0.05269491855846222,
      0.05242690829341982,
      0.052161495417963735,
      0.05189865470415514,
      0.051638361175959574,
      0.05138059007867146,
      0.051125316995345,
      0.05087251768791549,
      0.05062216816816011,
      0.050374244575175954,
      0.05012872336553107,
      0.04988558122772127,
      0.04964479507691455,
      0.04940634201584697,
      0.04917019936938771,
      0.048936344793182165,
      0.04870475608474913,
      0.04847541120481516,
      0.04824828835019034,
      0.048023365976883545,
      0.04780062276997208,
      0.047580037620814856,
      0.047361589601799356,
      0.04714525788771192,
      0.046931021986160094,
      0.046718861581082925,
      0.04650875648521793,
      0.04630068679023691,
      0.046094632779378926,
      0.04589057487264111,
      0.04568849369332531,
      0.04548837010374368,
      0.045290185076226896,
      0.04509391982236609,
      0.04489955574176381,
      0.044707074371581515,
      0.04451645745757786
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786537419422956,
      10.571139784150322,
      10.347467918642227,
      10.118023115598175,
      9.885054391930023,
      9.65054523489753,
      9.4162453398089,
      9.183672214992406,
      8.954136672670543,
      8.728726463084646,
      8.50829529137162,
      8.293455852927439,
      8.084585912978868,
      7.881845737400675,
      7.685204430034642,
      7.494472317029614,
      7.3093327355740865,
      7.129374619132714,
      6.954123598020201,
      6.783069984704165,
      6.615693108376185,
      6.451481894344189,
      6.289951880427622,
      6.130659007108672,
      5.973210574302264,
      5.817272505751347,
      5.662566178682919,
      5.508874494247288,
      5.356054683373395,
      5.204030741296396,
      5.05279350712944,
      4.902409097110452,
      4.753008700572396,
      4.6047774290358765,
      4.457960653368929,
      4.312857663199366,
      4.169811137923526,
      4.029194970921856,
      3.891398452971805,
      3.756818372426148,
      3.625851687629379,
      3.4988859342589254,
      3.3762780893446966,
      3.2583425264989727,
      3.1453451087864024,
      3.037500450426009,
      2.9349727951430475,
      2.8378714695776743,
      2.7462526527515543,
      2.6601114407811717,
      2.5793970606284042,
      2.5040204773570895,
      2.433848188873028,
      2.368684117460872,
      2.3082755884785793,
      2.252329329968385,
      2.200512956051296,
      2.152453366945183,
      2.1077458117973986,
      2.0659799661318936,
      2.026785082021631,
      1.9897885736532175,
      1.9546537777135136,
      1.9211151425425037,
      1.8889641537455364,
      1.8580345304066817,
      1.828193088601872,
      1.799329525122522,
      1.7713516512932148,
      1.7441846126909182,
      1.7177647108881278,
      1.6920397539133107,
      1.6669663575138651,
      1.6425077757600242,
      1.6186323163317695,
      1.5953121809073936,
      1.5725226134181005,
      1.5502412597457296,
      1.528447421730651,
      1.5071217549467983,
      1.48624591752663,
      1.465802793220355,
      1.4457765398621505,
      1.4261523876379039,
      1.4069164852173293,
      1.3880557809514136,
      1.3695580172676707,
      1.3514121536436985,
      1.333607842966072,
      1.3161350131709935,
      1.298983893494519,
      1.2821450333061275,
      1.2656093105556188,
      1.2493679332066017,
      1.2334124351885258,
      1.2177346704204104,
      1.2023268027015885,
      1.1871812958646273,
      1.1722909018094074,
      1.1576489973063464,
      1.1432494750184754,
      1.1290865603206905,
      1.1151554170162084,
      1.101451344167022,
      1.0879694321724582,
      1.0747046801018538,
      1.0616520752133651,
      1.048806647622409,
      1.0361635069894934,
      1.0237178666011062,
      1.0114650584192137,
      0.9994005420498301,
      0.9875199088394319,
      0.9758188833663439,
      0.9642933228062677,
      0.9529392145419909,
      0.9417526734493568,
      0.930729938456829,
      0.9198673684793839,
      0.9091614383326604,
      0.8986087346191464,
      0.8882059514734806,
      0.8779498867633366,
      0.8678374378155673,
      0.8578655977157922,
      0.8480314518565232,
      0.8383321742037273,
      0.8287650237148596,
      0.8193273412387472,
      0.8100165463107043,
      0.8008301342217088,
      0.7917656355406977,
      0.7828201074703399,
      0.7739907363689339,
      0.7652753842928333,
      0.7566721653824466,
      0.7481798513560832,
      0.7397972133049283,
      0.7315228175051375,
      0.7233551019001814,
      0.715292428154787,
      0.7073331184927042,
      0.6994754808388554,
      0.6917178261632193,
      0.6840584801465208,
      0.6764957905624374,
      0.6690281328770117,
      0.6616539133809715,
      0.6543715706646471,
      0.647179576901728,
      0.6400764380913858,
      0.6330606940085456,
      0.6261309175406933,
      0.6192862599762711,
      0.612526431277872,
      0.6058508824558467,
      0.5992588285548921,
      0.5927493290530195,
      0.5863213437854825,
      0.5799737716146666,
      0.5737054771857574,
      0.5675153094437294,
      0.5614021142140386,
      0.5553647423679734,
      0.5494020559446888,
      0.5435129318738215,
      0.5376962641560478,
      0.5319509654548931,
      0.5262759681367718,
      0.5206702245120008,
      0.515132707022297,
      0.5096624078185061,
      0.5042583391325997,
      0.4989195324389947,
      0.49364503818820654,
      0.4884339254031464,
      0.4832852812932098,
      0.4781982110423863,
      0.47317183690788084,
      0.46820529797907395,
      0.4632977498355962,
      0.4584483641579038,
      0.45365632803733513,
      0.4489208438003039,
      0.44424112856056364,
      0.4396164139076556,
      0.43504594547832326,
      0.43052898253949484,
      0.4260647977364712,
      0.4216526767530096,
      0.41729191796118065,
      0.41298183206119055,
      0.40872174184000154,
      0.4045109819729027,
      0.40034889861531414,
      0.39623484898807043,
      0.39216820154234966,
      0.38814833523053854,
      0.38417463943406643,
      0.3802465139132839,
      0.37636336822128624,
      0.3725246217007594,
      0.36872970322448345,
      0.36497805101195835,
      0.36126911231847214,
      0.35760234345487646,
      0.3539772093254598,
      0.35039302095018754,
      0.34684899403487374,
      0.3433444352042747,
      0.3398787197565758,
      0.336451273603174,
      0.33306156017562744,
      0.3297090714272192,
      0.32639332114152897,
      0.3231138406520944,
      0.3198701752024947,
      0.3166618819017842,
      0.3134885278942078,
      0.3103496891571497,
      0.30724494965631094,
      0.30417390067800104,
      0.30113614027263275,
      0.29813127291013386,
      0.2951590469238196,
      0.29221935987818465,
      0.28931204353657486,
      0.2864368659637074,
      0.28359355189675256,
      0.28078179693728134,
      0.27800127786867174,
      0.27525165979880706,
      0.272532600778202,
      0.2698437555528538,
      0.2671847781855782,
      0.2645553234292485,
      0.2619550478748802,
      0.25938363787988916,
      0.2568408245263237,
      0.25432632824248386,
      0.2518398555355812,
      0.2493811559031569,
      0.24695004314427704,
      0.24454630901025956,
      0.2421697167823785,
      0.23982000581270455,
      0.23749688606313699,
      0.2352000093537377,
      0.23292902928874037,
      0.2306836146005448,
      0.22846344611792138,
      0.2262682140777776,
      0.22409761648359383,
      0.22195135809764555,
      0.21982914926098945,
      0.21773070551764193,
      0.21565574688347078,
      0.21360399780038267,
      0.21157518673312728,
      0.20956904591567377,
      0.20758531132310257,
      0.20562372238553936,
      0.2036840219775724,
      0.20176595631408417,
      0.19986927502003937,
      0.19799370803583266,
      0.19613895553099384,
      0.19430473260779096,
      0.19249077156816136,
      0.1906968178378935,
      0.18892262685278202,
      0.18716796206125408,
      0.1854325932336837,
      0.1837162954162198,
      0.18201884828292036,
      0.18034003536273446,
      0.17867964367277758,
      0.1770374635524598,
      0.17541328834253503,
      0.17380691414905758,
      0.1722181398699191,
      0.17064676692404376,
      0.16909259915323285,
      0.16755544297276806,
      0.16603510716668088,
      0.16453140280488857,
      0.16304414324284883,
      0.16157314417272592,
      0.16011822338860046,
      0.1586792009970691,
      0.15725589917660496,
      0.15584814225477125,
      0.1544557588963902,
      0.153078702753246,
      0.15171699359383642,
      0.15037059173470693,
      0.14903941656044192,
      0.14772335939614742,
      0.1464222923711274,
      0.14513607463703937,
      0.14386455710376184,
      0.14260758527177403,
      0.14136500150163894,
      0.14013664652589647,
      0.13892236057805638,
      0.13772198405413633,
      0.13653535802095282,
      0.13536232457953296,
      0.13420273298659763,
      0.13305644006846068,
      0.1319233010745994,
      0.13080317007391137,
      0.12969590071294945,
      0.12860134683815702,
      0.12751936297781225,
      0.1264498046287467,
      0.12539252865393763,
      0.12434739314387458,
      0.12331425756187037,
      0.12229298291923112,
      0.12128343181572393,
      0.12028546842202452,
      0.1192989583909256,
      0.11832376901554731,
      0.11735976908148278,
      0.11640682895311309,
      0.11546482053178754,
      0.11453359741924961,
      0.1136129644876899,
      0.11270273880862784,
      0.11180275807980676,
      0.11091287505974202,
      0.11003295356766025,
      0.10916282931978333,
      0.10830231240992917,
      0.1074512357303335,
      0.1066094518913622,
      0.1057768277364056,
      0.10495324080074168,
      0.10413857640923929,
      0.10333271734705349,
      0.10253550703772422,
      0.1017467876329491,
      0.10096642161362142,
      0.10019428630058601,
      0.09943027007157555,
      0.09867426944797303,
      0.09792618702685751,
      0.09718593013642685,
      0.0964534096299908,
      0.0957285393170995,
      0.09501123527220139,
      0.09430141538724005,
      0.0935989992109415,
      0.09290390768631418,
      0.09221606289960663,
      0.09153539079710267,
      0.09086182006341342,
      0.09019527895473926,
      0.08953569562925172,
      0.08888299844469491,
      0.08823711611047118,
      0.08759797771988345,
      0.08696551296823486,
      0.08633965213145156,
      0.08572032616126302,
      0.08510746657282126,
      0.08450100554461455,
      0.08390087608414659,
      0.0833070117705122,
      0.08271934676001651,
      0.08213781601327451,
      0.08156235518502575,
      0.08099290055469317,
      0.08042938918828478,
      0.07987175869926101,
      0.07931994744400372,
      0.07877389437976846,
      0.07823353906797542,
      0.07769882178466682,
      0.0771696886880759,
      0.07664611255717366,
      0.07612806866718994,
      0.07561552263589584,
      0.07510843321522143,
      0.07460675452734555,
      0.07411043756707217,
      0.07361943118313384,
      0.07313368281562733,
      0.07265313919604895,
      0.07217774669791922,
      0.0717074516318689,
      0.07124220033046103,
      0.07078193934433852,
      0.07032661562968368,
      0.06987617644138293,
      0.06943056951345004,
      0.06898974304099666,
      0.06855364579752478,
      0.06812222696493088,
      0.0676954246508838,
      0.06727314364456849,
      0.06685529481474972,
      0.06644180179124502,
      0.06603259750985528,
      0.06562762182715069,
      0.06522681965200494,
      0.06483013967579991,
      0.06443753349559975,
      0.06404895483134862,
      0.06366435917132342,
      0.06328370329685928,
      0.06290694508912476,
      0.06253404340675489,
      0.06216495786239936,
      0.06179964858302286,
      0.06143807642392995,
      0.06108020269561068,
      0.06072598930597293,
      0.060375398494463536,
      0.06002838535814737,
      0.05968487669925886,
      0.05934480177329245,
      0.05900810053769108,
      0.05867472072700776,
      0.058344615954318155,
      0.05801774413414951,
      0.057694066418733675,
      0.0573735462260852,
      0.057056148859067866,
      0.056741841042609445,
      0.0564305906511124,
      0.05612236646562917,
      0.05581713795056576,
      0.05551487510905564,
      0.0552155485191204,
      0.054919129164593884,
      0.05462558843687337,
      0.05433489807098508,
      0.05404703023273077,
      0.05376195724149235,
      0.05347965189177103,
      0.05320008719764972,
      0.05292323647535446,
      0.052649073213492846,
      0.052377571272045405,
      0.05210870479942832,
      0.051842448125248956,
      0.05157877584159135,
      0.051317662792808055,
      0.05105908415879129,
      0.0508030152944497,
      0.05054943176393088,
      0.050298309385272216,
      0.05004962419634152,
      0.04980335253950275,
      0.04955947096928855,
      0.04931795623717258,
      0.04907878532479274,
      0.048841935478249526,
      0.04860738409371837,
      0.048375108886836556,
      0.04814508769111599,
      0.047917298575024865,
      0.04769171987074373,
      0.047468330108616154,
      0.04724710802246238,
      0.047028032450391166,
      0.04681108264986809,
      0.046596237952553125,
      0.046383477922171526,
      0.04617278225876856,
      0.045964130910067645,
      0.045757504018739736,
      0.04555288193050604,
      0.0453502451268905,
      0.04514957436527587,
      0.04495085050821301,
      0.04475405465852893,
      0.044559168088642305,
      0.0443661722626774,
      0.044175048808597996,
      0.04398577953231297
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786522458450893,
      10.57109137577787,
      10.347372355446543,
      10.117870582165883,
      9.884838853946261,
      9.650263100009457,
      9.4158952191915,
      9.183254304215502,
      8.95365223208631,
      8.728177325637283,
      8.507683528794187,
      8.292783545590037,
      8.083854964019189,
      7.881057736776946,
      7.684360569628521,
      7.493573354177306,
      7.308379004203007,
      7.128366070090816,
      6.95305986866729,
      6.781950487497383,
      6.614517132574047,
      6.450248717629348,
      6.288660885536966,
      6.129309797519357,
      5.9718030902796775,
      5.81580700170061,
      5.661043288522906,
      5.507295698801982,
      5.35442217981532,
      5.2023476462191445,
      5.051063813077472,
      4.900637622537645,
      4.751200871808347,
      4.602939389690424,
      4.456099310541825,
      4.310980584514017,
      4.167926416608425,
      4.02731121598814,
      3.8895247687854133,
      3.7549638735934114,
      3.6240256015250067,
      3.497097323875926,
      3.374535274955643,
      3.2566529572169007,
      3.143715266380851,
      3.0359357750063594,
      2.9334772452393167,
      2.836447795982177,
      2.74490232904702,
      2.658834932274341,
      2.5781940711131663,
      2.5028900230382973,
      2.432787829703696,
      2.367689313814594,
      2.307340507228126,
      2.2514471867316375,
      2.1996764194862086,
      2.151654857689692,
      2.106977435487826,
      2.065234442608569,
      2.0260556440197304,
      1.9890687705911603,
      1.9539385253772612,
      1.920400652616203,
      1.8882476356580415,
      1.8573138851417619,
      1.8274667833699534,
      1.79859627501699,
      1.7706103569017864,
      1.7434344846936451,
      1.7170052361858175,
      1.6912706123399341,
      1.6661873683494095,
      1.641718858596295,
      1.6178334625537145,
      1.594503432687277,
      1.5717040486276046,
      1.5494129410479067,
      1.5276093687565462,
      1.506274056891042,
      1.4853887338425849,
      1.4649362803205623,
      1.4449008516804733,
      1.425267674566634,
      1.406022894162969,
      1.3871534560987386,
      1.3686471130436118,
      1.3504928464647805,
      1.3326803028113337,
      1.315199397527472,
      1.2980403494211963,
      1.281193699270115,
      1.2646503183427957,
      1.248401409192516,
      1.2324385016792503,
      1.2167534453324171,
      1.2013384006305603,
      1.1861858281505546,
      1.1712884913129893,
      1.1566398196282013,
      1.1422336982180912,
      1.128064373474167,
      1.1141270338126967,
      1.1004169429693011,
      1.0869291663068503,
      1.0736586839985938,
      1.060600469917675,
      1.0477495440516842,
      1.0351010088225552,
      1.0226500719376426,
      1.0103920609733452,
      0.9983224322350566,
      0.9864367742371695,
      0.9747308091381374,
      0.963200391947483,
      0.9518415086379739,
      0.9406502729697168,
      0.9296229225870076,
      0.9187558151506884,
      0.9080454245010205,
      0.897488336284252,
      0.8870812436416264,
      0.8768209435576821,
      0.8667043327836941,
      0.8567284036744683,
      0.8468902409344423,
      0.8371870176749947,
      0.8276159919788281,
      0.818174503996906,
      0.8088599726867348,
      0.7996698925703076,
      0.790601761257359,
      0.7816526528749997,
      0.7728199896912361,
      0.7641016154812422,
      0.7554957661465342,
      0.7470012355038792,
      0.7386166842222245,
      0.730340601121604,
      0.7221713695642119,
      0.7141073129676407,
      0.706146726620834,
      0.698287899386165,
      0.6905291286921006,
      0.682868730499918,
      0.675305045937669,
      0.6678364455497966,
      0.660461332127595,
      0.6531781419627736,
      0.6459853454042318,
      0.6388814468841305,
      0.6318649849573839,
      0.6249346265376589,
      0.6180898127652606,
      0.6113301975003417,
      0.6046551264324298,
      0.5980637409436248,
      0.59155504916612,
      0.5851279751752957,
      0.5787813929355075,
      0.5725141496624544,
      0.5663250818854837,
      0.5602130268105626,
      0.5541768295849905,
      0.5482153479175352,
      0.5423274555761525,
      0.5365120445502065,
      0.5307680260940714,
      0.5250943312717529,
      0.5194899116699999,
      0.5139537390670137,
      0.5084848052559845,
      0.5030821219255447,
      0.49774472021968474,
      0.4924716503365653,
      0.487261981168626,
      0.4821147997067709,
      0.47702921059205716,
      0.4720043360721806,
      0.467039315041811,
      0.4621333027202886,
      0.457285470458638,
      0.4524950051701789,
      0.4477611089965289,
      0.443082998955644,
      0.43845990621778463,
      0.43389107612858746,
      0.429375767760581,
      0.4249132535798616,
      0.4205028188972653,
      0.41614376189403496,
      0.41183539302769784,
      0.40757703483622815,
      0.4033680217346802,
      0.3992076995507929,
      0.39509542528341773,
      0.39103056705907185,
      0.38701250360120854,
      0.3830406241280734,
      0.3791143280185668,
      0.37523302457731317,
      0.3713961329758012,
      0.3676030818364486,
      0.36385330917218023,
      0.3601462618677805,
      0.35648139577150756,
      0.35285813713196734,
      0.3492757330555415,
      0.3457334278918536,
      0.3422305511996963,
      0.3387664944879761,
      0.3353406948902264,
      0.3319526237258454,
      0.32860177835454585,
      0.325287676367071,
      0.32200985165990187,
      0.3187678511969873,
      0.31556123303246447,
      0.3123895650669079,
      0.30925242378210743,
      0.3061493932308749,
      0.30308006467258064,
      0.3000440360909298,
      0.29704092282070527,
      0.29407053384402526,
      0.2911327638509147,
      0.28822742306237986,
      0.2853542642608652,
      0.28251300124545703,
      0.27970332193848757,
      0.2769248975145426,
      0.27417738899890715,
      0.2714604517545971,
      0.26877373843450625,
      0.2661169014021912,
      0.26348959419911017,
      0.26089147483518604,
      0.25832225051602853,
      0.2557816522700187,
      0.25326939246312075,
      0.2507851881013293,
      0.24832883529262065,
      0.245900138999595,
      0.24349887335473666,
      0.2411247854750006,
      0.23877760338896445,
      0.2364570083453903,
      0.23416264332849168,
      0.23189416516980607,
      0.22965124500778472,
      0.22743356512365956,
      0.2252408169192631,
      0.2230726991133053,
      0.22092891674732804,
      0.21880918047667847,
      0.2167132060036704,
      0.2146407135241701,
      0.21259142737602169,
      0.210565075901427,
      0.20856139130640725,
      0.20658010935172602,
      0.2046209693956288,
      0.20268371422934714,
      0.20076808999724363,
      0.19887384454854862,
      0.19700069186606262,
      0.19514833146083732,
      0.1933164838175968,
      0.1915048851030533,
      0.1897132834600816,
      0.18794143614536707,
      0.1861891078686743,
      0.18445606933537798,
      0.18274209629211802,
      0.1810469686392444,
      0.1793704701031964,
      0.17771238795885175,
      0.17607251249489275,
      0.17445063706122937,
      0.1728465577177307,
      0.17126007318346037,
      0.16969098488284776,
      0.16813909669424779,
      0.1666042148199501,
      0.165086147892255,
      0.16358470688255375,
      0.1620997051640242,
      0.1606309582312963,
      0.1591782838272198,
      0.15774150191729083,
      0.15632043454328456,
      0.1549149331492877,
      0.15352498666374367,
      0.1521505953654971,
      0.1507917053069717,
      0.1494482253229365,
      0.14812003862920622,
      0.1468070110200413,
      0.1455089966877841,
      0.14422584225966062,
      0.14295738972918443,
      0.14170347845234701,
      0.1404639464577913,
      0.13923863151549057,
      0.1380273716113199,
      0.13683000566955708,
      0.13564637618464245,
      0.13447633604170303,
      0.133319738567007,
      0.13217643526648945,
      0.1310462769639504,
      0.12992911445195468,
      0.12882479917360531,
      0.12773318349214455,
      0.1266541208936918,
      0.12558746617379535,
      0.12453307559053255,
      0.12349080700942855,
      0.12246051974844008,
      0.12144207475249898,
      0.12043533464611975,
      0.11944016349918883,
      0.11845642696038568,
      0.11748399232595996,
      0.11652272848696173,
      0.11557250583135344,
      0.11463319631012686,
      0.11370462778909349,
      0.11278660207318164,
      0.11187894546513463,
      0.11098150221625203,
      0.11009412973663484,
      0.10921668954606198,
      0.10834900427722811,
      0.10749088906179098,
      0.10664218362253755,
      0.10580274534906198,
      0.10497244463251254,
      0.10415116152878096,
      0.10333878317131043,
      0.10253519091169663,
      0.10174022521881039,
      0.10095373105638764,
      0.10017557292824365,
      0.09940562975384212,
      0.09864379086862779,
      0.09788995356606124,
      0.09714402106425417,
      0.09640590109363477,
      0.09567550492156351,
      0.09495274656850895,
      0.09423754221928944,
      0.09352980997311146,
      0.09282946955647434,
      0.0921364418574446,
      0.09145064910066225,
      0.09077201656589022,
      0.09010047277394426,
      0.08943594638277286,
      0.08877836573045574,
      0.08812765933085895,
      0.08748375606417798,
      0.08684658505723797,
      0.08621607613701651,
      0.08559215964418201,
      0.08497476651568155,
      0.08436382833793347,
      0.08375927740842529,
      0.08316104668555929,
      0.08256906971870386,
      0.08198328084125026,
      0.08140361505483543,
      0.08083000808145599,
      0.0802623962337344,
      0.07970071656423043,
      0.07914490673428111,
      0.07859490506331059,
      0.07805065909699178,
      0.07751214481581996,
      0.07697933440326515,
      0.07645219074851156,
      0.07593067012834814,
      0.07541472436060365,
      0.07490430229462915,
      0.07439935070807337,
      0.073899815112649,
      0.073405640351658,
      0.0729167709654777,
      0.07243315142885316,
      0.07195472627967661,
      0.07148144038461339,
      0.07101323891656945,
      0.07055006748262638,
      0.07009187219666302,
      0.06963859956909992,
      0.06919019671645901,
      0.06874661127718336,
      0.06830779136778338,
      0.06787368568059533,
      0.06744424346933164,
      0.06701940880189433,
      0.06659909377194272,
      0.06618320584691019,
      0.06577166613179597,
      0.06536440583625731,
      0.06496136352647434,
      0.06456248320712933,
      0.06416771302553934,
      0.06377700410346406,
      0.0633903099083106,
      0.06300758576375674,
      0.06262878835804724,
      0.062253875588530364,
      0.06188280625806353,
      0.06151553996264357,
      0.0611520369405996,
      0.06079225802300249,
      0.06043616458316628,
      0.060083718491407555,
      0.05973488209385222,
      0.059389618215466206,
      0.0590478901491354,
      0.05870965513270624,
      0.05837484348001879,
      0.05804338539413833,
      0.05771522169497673,
      0.05739030101518966,
      0.05706857772675922,
      0.056750010494282604,
      0.056434561080289464,
      0.05612219364932817,
      0.05581287428155473,
      0.05550657049090217,
      0.05520325073904008,
      0.05490288446205728,
      0.05460544181460173,
      0.05431089347402278,
      0.054019210697939676,
      0.05373036507216238,
      0.053444328638594,
      0.053161073875255344,
      0.052880573528435976,
      0.05260280061156904,
      0.05232772844949093,
      0.052055330695115955,
      0.0517855812649791,
      0.05151845436468315,
      0.05125392436593694,
      0.05099196594848757,
      0.0507325540743129,
      0.050475663905858996,
      0.05022127090950311,
      0.04996935073752176,
      0.04971987936535101,
      0.049472832946759464,
      0.04922818783540689,
      0.048985920641974635,
      0.048746008244544274,
      0.04850842767925036,
      0.0482731562829339,
      0.048040171537657175,
      0.047809451183344634,
      0.04758097314975003,
      0.047354715645257374,
      0.04713065701123133,
      0.04690877595565578,
      0.046689051247067674,
      0.046471461902168186,
      0.04625598718321677,
      0.0460426064693677,
      0.045831299335003295,
      0.045622045613154506,
      0.04541482533889354,
      0.04520961872857696,
      0.04500640618198147,
      0.04480516825659452,
      0.044605885785627915,
      0.04440853977759139,
      0.04421311133577548,
      0.04401958181331317,
      0.043827932721206775,
      0.043638145792751354,
      0.04345020290567295
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.78650761120339,
      10.571043345478676,
      10.347277547947217,
      10.117719269954506,
      9.884625057809279,
      9.649983261077011,
      9.415547964250521,
      9.18283982396407,
      8.953171775910771,
      8.72763271858292,
      8.50707682944933,
      8.29211681938037,
      8.08313010063171,
      7.880276314890386,
      7.683523770948814,
      7.492681927116973,
      7.307433276055863,
      7.12736598938942,
      6.952005072545591,
      6.780840390597212,
      6.6133510288180535,
      6.449025891273148,
      6.287380724697182,
      6.127971911378166,
      5.970407422813101,
      5.814353808605347,
      5.659533202089009,
      5.505730193649936,
      5.3528034436221255,
      5.200678782720652,
      5.049348796805566,
      4.898881247033863,
      4.749408527349835,
      4.601117174461603,
      4.4542540805101964,
      4.309119849061413,
      4.166058204452622,
      4.0254440657201975,
      3.887667709541193,
      3.7531259435873063,
      3.622215949509814,
      3.4953249338778707,
      3.3728083893469987,
      3.2549789517812897,
      3.142100555874568,
      3.034385737841348,
      2.9319957864311985,
      2.835037619342678,
      2.7435648735820863,
      2.657570639082604,
      2.577002626581847,
      2.501770432688901,
      2.4317375848037943,
      2.366703899459322,
      2.3064141255902735,
      2.2505731029703706,
      2.198847366997198,
      2.1508633255138325,
      2.106215601096831,
      2.0644950922446133,
      2.025332074447477,
      1.9883545939533103,
      1.95322870789743,
      1.9196914448224012,
      1.887536272462185,
      1.8565982886019758,
      1.826745439854265,
      1.797867915266255,
      1.7698738920114154,
      1.7426891334160406,
      1.7162504913297556,
      1.6905061575565508,
      1.6654130259946969,
      1.6409345504745063,
      1.6170391816854235,
      1.5936992226936926,
      1.5708899879659493,
      1.5485890921906131,
      1.526775751014943,
      1.5054307592005127,
      1.4845359163600835,
      1.4640740999938213,
      1.4440294622899517,
      1.4243872274314469,
      1.40513353732136,
      1.3862553335870225,
      1.3677403835977031,
      1.3495776932789671,
      1.331756892999986,
      1.3142678856748085,
      1.2971008802959858,
      1.2802464100584243,
      1.2636953400405264,
      1.247438867409407,
      1.2314685173605886,
      1.2157761355487866,
      1.2003538796375712,
      1.185194207394982,
      1.170289911241247,
      1.1556344653940176,
      1.1412217292860733,
      1.1270459727623503,
      1.1131024105111456,
      1.0993862722330714,
      1.0858925989749741,
      1.072616353539578,
      1.0595524963556247,
      1.0466960376744743,
      1.0340420724031054,
      1.0215858026401343,
      1.0093225520993832,
      0.99724777364127,
      0.9853570530519017,
      0.9736461103200365,
      0.9621107988900173,
      0.9507471031082766,
      0.9395511352965578,
      0.9285191320980661,
      0.9176474500968116,
      0.9069325619246009,
      0.8963710522891477,
      0.8859596135049497,
      0.8756950415315016,
      0.8655742321450094,
      0.8555941771760779,
      0.8457519604370924,
      0.8360447543329502,
      0.8264698164196221,
      0.8170244861397563,
      0.807706181809066,
      0.798512397215721,
      0.7894405972977498,
      0.7804879737196408,
      0.7716521049342475,
      0.7629307587182095,
      0.7543223339262992,
      0.7458256141353695,
      0.7374391582359472,
      0.7291613836069105,
      0.7209906228697419,
      0.7129251637368113,
      0.7049632762442075,
      0.6971032316033349,
      0.6893433146432861,
      0.681681832614699,
      0.6741171204175147,
      0.6666475441632336,
      0.6592715030944472,
      0.6519874309473408,
      0.6447937964426809,
      0.6376891029432804,
      0.6306718881014554,
      0.6237410177147394,
      0.6168961515660972,
      0.6101368097282074,
      0.6034622458106546,
      0.596871537039588,
      0.5903636466636419,
      0.5839374672504967,
      0.5775918508119504,
      0.5713256294180867,
      0.5651376291171721,
      0.5590266796038904,
      0.5529916205870186,
      0.5470313061043681,
      0.5411446073391332,
      0.5353304143336937,
      0.529587637070707,
      0.5239152056747217,
      0.5183120709119978,
      0.512777204053118,
      0.5073095964075612,
      0.5019082593234503,
      0.49657222363811654,
      0.49130053919273425,
      0.4860922745668701,
      0.48094651655166337,
      0.4758623696443059,
      0.4708389555905751,
      0.46587541320694886,
      0.46097089764487503,
      0.4561245799886662,
      0.4513356469600376,
      0.44660330042512514,
      0.4419267569857855,
      0.43730524773222945,
      0.4327380178285928,
      0.4282243260082895,
      0.42376344441257446,
      0.4193546581888864,
      0.4149972652568631,
      0.410690575810715,
      0.40643391211835433,
      0.4022266083125818,
      0.39806800999798847,
      0.3939574739791817,
      0.38989436803474653,
      0.38587807055926127,
      0.3819079704564976,
      0.377983466927484,
      0.3741039690277129,
      0.3702688956804761,
      0.3664776752310842,
      0.3627297452291389,
      0.35902455249036797,
      0.35536155267578984,
      0.3517401080517572,
      0.348159431036829,
      0.344618796494441,
      0.3411175552284407,
      0.3376551136152419,
      0.33423091913622627,
      0.3308444502967365,
      0.32749520950919736,
      0.32418271784702235,
      0.3209065114223484,
      0.3176661387255469,
      0.31446115894417404,
      0.31129114051746104,
      0.30815566025280744,
      0.30505430246691384,
      0.30198665839152766,
      0.298952325892459,
      0.2959509542228506,
      0.29298240224545796,
      0.29004653847950185,
      0.28714315482543534,
      0.284271990997033,
      0.28143275153966063,
      0.278625117730209,
      0.27584875596735187,
      0.2731033239942578,
      0.2703884744936106,
      0.2677038583458983,
      0.26504912655894447,
      0.26242393157542043,
      0.2598279424469551,
      0.25726088281062615,
      0.2547224741898299,
      0.25221242233352875,
      0.24973048764143885,
      0.247276484259701,
      0.24485019745763192,
      0.24245138446099349,
      0.24007977896302202,
      0.2377350925521781,
      0.23541698183397858,
      0.23312508939050258,
      0.2308590750305718,
      0.22861861195030841,
      0.226403383931873,
      0.2242130831219539,
      0.2220474089166575,
      0.21990606685439829,
      0.2177887677929261,
      0.21569522744404296,
      0.21362516597160963,
      0.21157830772788103,
      0.2095543810893774,
      0.20755311811182686,
      0.20557425452495545,
      0.203617529468691,
      0.20168268561949454,
      0.1997694689817738,
      0.19787761847725693,
      0.19600683513571263,
      0.19415682506206586,
      0.19232731328526928,
      0.1905180391599784,
      0.1887287530664089,
      0.1869592138482088,
      0.18520918728449468,
      0.1834784447499581,
      0.1817667623641447,
      0.1800739203719059,
      0.17839970272723124,
      0.17674389675206645,
      0.17510629279242002,
      0.17348668408669085,
      0.1718848667189968,
      0.17030063936430237,
      0.16873380332093438,
      0.167184162321875,
      0.16565152251792026,
      0.16413569248134938,
      0.16263648306330805,
      0.16115370746174346,
      0.15968718114366484,
      0.15823672177385303,
      0.15680214916309096,
      0.1553833450954635,
      0.15398032225076666,
      0.1525930626043435,
      0.15122149883375832,
      0.1498655297141736,
      0.14852503069990922,
      0.14719986146326816,
      0.1458898712271162,
      0.1445949026565421,
      0.14331479426070465,
      0.14204938235720643,
      0.1407985023080322,
      0.13956198925430005,
      0.13833967902052763,
      0.13713140886731598,
      0.13593702542940442,
      0.13475638021062367,
      0.1335893223350402,
      0.1324356998690748,
      0.13129536069878342,
      0.13016815304931056,
      0.12905392601727297,
      0.12795252982566907,
      0.12686381603149166,
      0.1257876375146094,
      0.12472384879572732,
      0.12367230588234353,
      0.12263286644464591,
      0.12160538965911029,
      0.12058973647130018,
      0.11958576937471369,
      0.1185933525765209,
      0.11761235187042267,
      0.11664263454669234,
      0.11568406954280695,
      0.11473652735801512,
      0.11379986694622439,
      0.11287389617606385,
      0.11195842693619901,
      0.11105329301466413,
      0.11015834407223524,
      0.10927344131236946,
      0.10839843905609765,
      0.10753314819284986,
      0.10667739252457295,
      0.1058310178963111,
      0.10499388612510412,
      0.10416587082855015,
      0.10334685428501005,
      0.1025367252682349,
      0.10173536280522055,
      0.10094260456125802,
      0.10015829854477934,
      0.09938231144559533,
      0.09861452355759355,
      0.09785482541426142,
      0.09710311511219903,
      0.09635929648461504,
      0.09562327772927365,
      0.09489497042211,
      0.09417428876003572,
      0.09346114911252754,
      0.09275546970872563,
      0.09205717030617426,
      0.09136617194781105,
      0.09068239690206124,
      0.09000576986634691,
      0.08933621927641264,
      0.0886736739028463,
      0.08801806235013718,
      0.08736931331144518,
      0.08672735580433713,
      0.08609211916602519,
      0.08546353324043642,
      0.08484152844621715,
      0.0842260357959804,
      0.08361698695584265,
      0.08301431424387837,
      0.08241795063394136,
      0.08182782979713413,
      0.08124388603426905,
      0.08066605435403368,
      0.0800942704868343,
      0.07952847078053342,
      0.07896860454889437,
      0.07841464738118649,
      0.07786656936795805,
      0.0773243312109252,
      0.0767878871351724,
      0.07625718694883198,
      0.0757321774910204,
      0.0752128036258495,
      0.07469900898707639,
      0.07419073658415747,
      0.07368792907834835,
      0.0731905290222504,
      0.07269847926112251,
      0.07221172286132675,
      0.07173020315730648,
      0.07125386406343755,
      0.07078264993644733,
      0.07031650568132324,
      0.06985537670963046,
      0.0693992089985428,
      0.06894794901176846,
      0.06850154384848436,
      0.06805994115267545,
      0.06762308914559069,
      0.06719093657761878,
      0.06676343272351168,
      0.06634052655634497,
      0.06592213752269155,
      0.06550816980325792,
      0.06509854239563528,
      0.06469318494824855,
      0.0642920348916316,
      0.06389503546179535,
      0.0635021342553172,
      0.06311328199513673,
      0.06272843190965692,
      0.06234753917891155,
      0.06197056041367773,
      0.061597453397819024,
      0.061228177006942774,
      0.06086269081302744,
      0.0605009550195913,
      0.060142930532771643,
      0.05978857884731112,
      0.05943786194466006,
      0.05909074226908952,
      0.05874718263230116,
      0.05840714638061673,
      0.05807059720769708,
      0.05773749918502333,
      0.0574078125403219,
      0.05708147224970435,
      0.056758408696152854,
      0.05643856313190072,
      0.056121884684549504,
      0.05580832826005756,
      0.055497853139523656,
      0.05519042169763614,
      0.05488599886822971,
      0.05458455130773813,
      0.05428604711282308,
      0.0539904554287374,
      0.053697746348231615,
      0.05340789066776397,
      0.05312085965590389,
      0.05283662524994333,
      0.05255515970786386,
      0.052276435675135326,
      0.05200042621804342,
      0.051727104664526395,
      0.05145644465277175,
      0.051188420177957515,
      0.05092300545577587,
      0.050660174952233995,
      0.05039990342397249,
      0.05014216593434148,
      0.04988693768919985,
      0.04963419417233477,
      0.049383911205670455,
      0.04913606478492638,
      0.048890631157565326,
      0.04864758682559939,
      0.048406908466502356,
      0.048168572953450214,
      0.04793255751629946,
      0.04769883952540086,
      0.04746739655603179,
      0.047238206376940595,
      0.04701124707675177,
      0.046786496863768144,
      0.04656393426720947,
      0.046343537938632474,
      0.04612528673414511,
      0.045909159816077294,
      0.04569513642849395,
      0.04548319610240661,
      0.04527331853109196,
      0.04506548362119323,
      0.04485967142059924,
      0.04465586219946621,
      0.04445403649068152,
      0.04425417495658951,
      0.04405625845647737,
      0.04386026806400966,
      0.04366618499642009,
      0.043473990665022416,
      0.04328366666617567,
      0.04309519481744887,
      0.04290855705477533
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786492864456068,
      10.570995653700473,
      10.347183435416282,
      10.117569102874137,
      9.884412916890085,
      9.649705626236685,
      9.415203479736292,
      9.182428684822076,
      8.952695227277832,
      8.72709257722359,
      8.506475143589372,
      8.291455643056057,
      8.082411309868041,
      7.879501475166598,
      7.682694053246549,
      7.491798070754087,
      7.306495602682141,
      7.1263744439563865,
      6.950959292824261,
      6.779739793590622,
      6.612194912502206,
      6.447813544436237,
      6.286111541952554,
      6.126645508262036,
      5.969023748399657,
      5.812913121660906,
      5.6580361336679195,
      5.504178212625224,
      5.351198727036726,
      5.199024419499772,
      5.04764874082169,
      4.897140264056347,
      4.7476319714097475,
      4.599311099203866,
      4.452425289069732,
      4.307275790786947,
      4.16420684188338,
      4.023593815655131,
      3.8858274847547274,
      3.7513047126663994,
      3.620422789165575,
      3.4935687561119027,
      3.3710973676777773,
      3.2533203964441304,
      3.1405008199853826,
      3.032850144967902,
      2.9305281950979754,
      2.833640693681755,
      2.742240024946556,
      2.6563182891395316,
      2.575822448790742,
      2.5006614254325075,
      2.4306971406234785,
      2.365727535582084,
      2.3054960852904918,
      2.249706706916734,
      2.198025419399215,
      2.1500783875180236,
      2.105459926149613,
      2.063761536655267,
      2.0246139997092274,
      1.9876456760271632,
      1.9525239644532875,
      1.9189871654454278,
      1.8868297224109722,
      1.8558874138333343,
      1.8260287449219417,
      1.797144146044801,
      1.769141969188124,
      1.7419482822478998,
      1.7155002104545112,
      1.689746135193935,
      1.6646430870250628,
      1.6401546183851206,
      1.6162492504245962,
      1.5928993362443684,
      1.5700802251782766,
      1.5477694829892823,
      1.5259463247394507,
      1.5045916119535936,
      1.4836872139657689,
      1.4632160038607172,
      1.4431621291381285,
      1.4235108096332385,
      1.4042481832425981,
      1.3853611879758903,
      1.3668376063286365,
      1.348666467526991,
      1.330837385406459,
      1.313340250448848,
      1.2961652619716957,
      1.2793029454148817,
      1.2627441594865156,
      1.246480096389903,
      1.2305022768675185,
      1.2148025432093887,
      1.1993730494456174,
      1.1842062507276703,
      1.1692949684065412,
      1.1546327210274068,
      1.140213342253132,
      1.126031125447293,
      1.112081312036933,
      1.0983590979452529,
      1.084859499800552,
      1.0715774623680685,
      1.0585079329258948,
      1.045645911870282,
      1.0329864868249587,
      1.0205248546085646,
      1.0082563346336764,
      0.9961763762278216,
      0.9842805627122192,
      0.9725646119613501,
      0.961024375549076,
      0.9496558364451585,
      0.9384551056256685,
      0.9274184183639916,
      0.91654213009913,
      0.9058227125885111,
      0.8952567494732747,
      0.8848409323639436,
      0.8745720565680979,
      0.8644470169012485,
      0.8544628042243275,
      0.8446165017713638,
      0.8349052812466514,
      0.8253263994285822,
      0.8158771950005501,
      0.8065550852775052,
      0.7973575634596226,
      0.7882820850975868,
      0.7793260274502601,
      0.7704870005118081,
      0.7617628178548774,
      0.7531519962503181,
      0.7446532010112666,
      0.7362649082369833,
      0.727985477127921,
      0.7198131994278093,
      0.711746334014841,
      0.7037831307406319,
      0.6959218463942077,
      0.6881607554427782,
      0.6804981577548249,
      0.6729323831888521,
      0.6654617942682588,
      0.6580847876755159,
      0.6507997951929098,
      0.6436052839763046,
      0.636499756353314,
      0.6294817490023603,
      0.6225504628178892,
      0.6157055970397237,
      0.6089465523549723,
      0.6022724989707853,
      0.5956824558223693,
      0.589175345795557,
      0.5827500333438034,
      0.5764053505486573,
      0.5701401156531551,
      0.5639531450220963,
      0.5578432613974753,
      0.5518092998033978,
      0.5458501110747114,
      0.5399645641469518,
      0.5341515474240981,
      0.5284099693635528,
      0.5227387593017481,
      0.5171368673079839,
      0.5116032640375818,
      0.5061369405634181,
      0.5007369078333236,
      0.4954021962913434,
      0.49013185546087706,
      0.4849249536969056,
      0.47978057755113174,
      0.4746978312847638,
      0.469675836557218,
      0.4647137317842962,
      0.4598106718533683,
      0.45496582776583244,
      0.4501783859289644,
      0.44544754793644137,
      0.4407725302553963,
      0.43615256364292965,
      0.4315868930054426,
      0.42707477696456214,
      0.42261548735999666,
      0.4182083090458757,
      0.41385253970199615,
      0.40954748922933953,
      0.4052924797472083,
      0.4010868451257341,
      0.3969299305874305,
      0.3928210926589715,
      0.38875969883860684,
      0.38474512746252665,
      0.38077676723765763,
      0.3768540169491144,
      0.3729762853432315,
      0.36914299105969073,
      0.3653535621560489,
      0.36160743608913454,
      0.35790405931509695,
      0.35424288025246375,
      0.35062318174458085,
      0.34704417288630657,
      0.3435051563148344,
      0.3400055023716131,
      0.33654463093961573,
      0.33312199905763484,
      0.32973709185105454,
      0.3263894162252254,
      0.32307849633314223,
      0.31980387031802987,
      0.3165650880653014,
      0.31336170967681787,
      0.31019330412842594,
      0.3070594483988489,
      0.30395972690211315,
      0.3008937309295265,
      0.29786105834156795,
      0.2948614072875594,
      0.29189466657009006,
      0.28896067996547553,
      0.28605922215900376,
      0.28319002047251013,
      0.280352770639425,
      0.2775471476648445,
      0.27477281349112687,
      0.27202942248978895,
      0.2693166249783201,
      0.26663407020138064,
      0.2639814078573903,
      0.2613582894761669,
      0.2587644045137764,
      0.25619948059625564,
      0.2536632307446176,
      0.25115537705525914,
      0.24867572358074186,
      0.24622406908873137,
      0.2438001819951638,
      0.2414038038432301,
      0.23903465741880198,
      0.2366924324020376,
      0.23437676795409973,
      0.23208731068909275,
      0.22982372323850117,
      0.22758568076689165,
      0.22537286831646658,
      0.2231849790217737,
      0.22102171275525004,
      0.21888277537710393,
      0.2167678779122887,
      0.2146767362500469,
      0.21260907063960605,
      0.2105646054132903,
      0.20854306875742876,
      0.20654419267097698,
      0.20456771270449728,
      0.20261336788562173,
      0.2006809007803087,
      0.19877005727035824,
      0.19688056107994178,
      0.19501210813274664,
      0.19316441061635034,
      0.19133719787883655,
      0.1895302122663661,
      0.18774320626632138,
      0.18597594018150918,
      0.18422818068308758,
      0.18249969982982692,
      0.1807902741045384,
      0.17909968402426832,
      0.1774277136354126,
      0.17577415037576458,
      0.17413878460317633,
      0.17252140957784515,
      0.17092182126224958,
      0.16933981826893663,
      0.16777520176475902,
      0.16622777544661382,
      0.16469734527576402,
      0.16318371982370064,
      0.16168670979814906,
      0.16020612830725287,
      0.1587417906853136,
      0.1572935144269918,
      0.1558612249310637,
      0.15444494019980448,
      0.15304462558503942,
      0.15166020141750367,
      0.15029155696266347,
      0.1489385604198176,
      0.1476010658423685,
      0.14627891787125338,
      0.14497195521534212,
      0.14368001306437472,
      0.14240292465380033,
      0.1411405226358949,
      0.1398926398749068,
      0.1386591097390974,
      0.13743977184963485,
      0.13623447438297379,
      0.13504306439263083,
      0.13386538735127118,
      0.13270128827409342,
      0.13155061224801995,
      0.1304132049982286,
      0.12928891341149445,
      0.12817758564963896,
      0.12707907124135295,
      0.12599322124234594,
      0.1249198882919944,
      0.12385892668179417,
      0.12281019245479151,
      0.12177354316735595,
      0.12074883810800587,
      0.11973593812738816,
      0.11873470579815265,
      0.11774500535190048,
      0.11676670263441596,
      0.1157996650792467,
      0.11484376164871661,
      0.1138988629393606,
      0.11296480407718394,
      0.1120413862375978,
      0.1111284310532452,
      0.11022577913949966,
      0.1093332850107694,
      0.10845081334160057,
      0.10757820215329267,
      0.10671526165814951,
      0.10586182366107792,
      0.10501773956829415,
      0.10418287522828812,
      0.10335710711306732,
      0.10254031960246117,
      0.10173240298605545,
      0.10093323110122703,
      0.10014264167597123,
      0.09936048549996894,
      0.09858663127012939,
      0.09782096092819469,
      0.09706336607967232,
      0.09631374561411307,
      0.09557200395147655,
      0.09483804967861266,
      0.09411179464059452,
      0.09339315334344098,
      0.09268204231600195,
      0.09197837993751554,
      0.09128208606857263,
      0.09059308182769692,
      0.08991128959496177,
      0.08923663345913223,
      0.08856904149110707,
      0.0879084429434068,
      0.08725476662506437,
      0.08660794136703452,
      0.0859678962519976,
      0.08533456076243488,
      0.08470786487276052,
      0.08408773902236133,
      0.08347411426843372,
      0.08286692231060244,
      0.08226609557842746,
      0.08167156711798083,
      0.0810832706302843,
      0.08050114041349961,
      0.07992512542407974,
      0.07935520050208532,
      0.07879133417495124,
      0.07823348554368376,
      0.07768160710311316,
      0.07713564690977472,
      0.07659554987680468,
      0.07606125896112324,
      0.07553271603124805,
      0.07500986210083613,
      0.07449263801716122,
      0.07398098449329749,
      0.07347484250262315,
      0.07297415324136758,
      0.0724788583498297,
      0.07198889995382447,
      0.07150422064435721,
      0.07102476355129735,
      0.07055047231726397,
      0.07008129120386365,
      0.06961716504756704,
      0.06915803925924571,
      0.0687038598225226,
      0.06825457327210943,
      0.06781012671239593,
      0.0673704679115497,
      0.06693554509865857,
      0.06650530715431924,
      0.06607970349191827,
      0.06565868399478436,
      0.06524217624915446,
      0.06483008511236159,
      0.06442232712659214,
      0.06401883022483365,
      0.06361953061361297,
      0.06322437069631089,
      0.06283329739565863,
      0.062446261190706266,
      0.06206321500183105,
      0.06168411383287622,
      0.06130891418279421,
      0.06093757380342833,
      0.06057005145560713,
      0.06020630673627402,
      0.05984629995622892,
      0.05948999211306438,
      0.05913734466312564,
      0.05878831958774534,
      0.05844287946803255,
      0.058100987215201294,
      0.05776260621893465,
      0.057427700239672815,
      0.05709623345859201,
      0.0567681704207125,
      0.05644347607174181,
      0.05612211418158214,
      0.055804025289128326,
      0.055489139640567765,
      0.0551773984673841,
      0.05486875106472453,
      0.05456315274894005,
      0.05426056316331715,
      0.053960945230218105,
      0.05366426433862032,
      0.05337048776074724,
      0.053079584212892876,
      0.05279152347262646,
      0.05250627613052262,
      0.05222381360284028,
      0.05194410786724412,
      0.05166713135994886,
      0.05139285690004064,
      0.0511212578602354,
      0.05085230783713847,
      0.0505859807803125,
      0.050322251008424086,
      0.05006109305823294,
      0.049802481699623015,
      0.04954639203426806,
      0.049292799395424435,
      0.049041679356542314,
      0.04879300784269147,
      0.04854676080103581,
      0.04830291458750488,
      0.048061445794688726,
      0.04782233119871419,
      0.04758554779262009,
      0.047351072769556975,
      0.047118883627885064,
      0.046888958048116984,
      0.046661273914005576,
      0.04643580931828254,
      0.04621254256945759,
      0.045991452205486234,
      0.045772517056307305,
      0.04555571606561699,
      0.04534102843461014,
      0.04512843341321956,
      0.044917910648612135,
      0.04470943992098117,
      0.04450300117595136,
      0.04429857460837022,
      0.04409614057211097,
      0.04389567960507739,
      0.043697172480352875,
      0.043500600143739965,
      0.04330594367732423,
      0.04311318445469282,
      0.0429223039471149,
      0.04273328384503417,
      0.042546105977019494,
      0.04236075232136648
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786478223600149,
      10.570948320374493,
      10.34709006159788,
      10.117420156561453,
      9.884202547585982,
      9.649430360537904,
      9.414861986423615,
      9.182021167768035,
      8.952222930785696,
      8.726557312914883,
      8.505878950280882,
      8.29080056209077,
      8.081699206261513,
      7.878733903816484,
      7.681872174106528,
      7.49092261554657,
      7.305566888648119,
      7.125392415031714,
      6.949923587283113,
      6.778649832779343,
      6.61105000064978,
      6.446612977163085,
      6.284854720846096,
      6.125332054432436,
      5.967653615183703,
      5.8114865160861,
      5.656553691379304,
      5.502641401877816,
      5.349609719062458,
      5.197386291584516,
      5.045965429204216,
      4.8954165093012945,
      4.745873090927133,
      4.5975231008440245,
      4.450614921308708,
      4.305450441391272,
      4.162374403719792,
      4.021762560031008,
      3.884006181653679,
      3.749502258625518,
      3.618648191407077,
      3.4918308512942584,
      3.3694042555956694,
      3.2516793171390597,
      3.1389180619736003,
      3.0313309728179263,
      2.9290764171235333,
      2.8322589313399287,
      2.74092965835938,
      2.6550797189737096,
      2.5746553342173564,
      2.4995647572183572,
      2.4296683157673584,
      2.364762091218891,
      2.3045882948408822,
      2.2488499349225535,
      2.1972125278381025,
      2.149301998947082,
      2.104712359293378,
      2.0630357095375818,
      2.023903333444386,
      1.9869439067022412,
      1.9518261582764977,
      1.9182896488355348,
      1.8861297899578995,
      1.8551830351913603,
      1.8253184422872044,
      1.7964266801635753,
      1.7684162710598277,
      1.7412135852232438,
      1.7147560189542608,
      1.6889921418923484,
      1.6638791206099353,
      1.6393806051716324,
      1.6154651867441854,
      1.592105267436138,
      1.5692762312142043,
      1.54695558988054,
      1.5251225634364107,
      1.503758057853119,
      1.4828440227020652,
      1.4623633484370426,
      1.4423001752733442,
      1.422639716240332,
      1.403368103671882,
      1.384472270442219,
      1.3659400121852765,
      1.3477603816657346,
      1.329922976157762,
      1.3124176732655701,
      1.2952346624302447,
      1.278364460972467,
      1.2617979209573265,
      1.2455262290873532,
      1.2295409019697676,
      1.2138337781767006,
      1.198397008352041,
      1.183223044709116,
      1.168304737911446,
      1.1536356510014842,
      1.1392095921360952,
      1.1250208902598886,
      1.1110647967125775,
      1.0973364751210102,
      1.0838309181455883,
      1.0705430533103306,
      1.0574678152245636,
      1.0446001951064317,
      1.0319352735593537,
      1.0194682420733072,
      1.0071944154498536,
      0.9951092399814937,
      0.983208296304142,
      0.9714873004095093,
      0.9599421020240226,
      0.9485686823511174,
      0.9373631510331931,
      0.9263217423360426,
      0.9154408106566463,
      0.9047168266208262,
      0.8941463728975971,
      0.8837261402288837,
      0.8734529229992161,
      0.8633236154487877,
      0.8533352077476819,
      0.8434847821664007,
      0.8337695095733852,
      0.8241866461348099,
      0.8147335299368894,
      0.8054075778590526,
      0.7962062822121675,
      0.7871271955674671,
      0.7781678301222569,
      0.7693257222488905,
      0.7605987746389836,
      0.7519855947976563,
      0.7434847395903142,
      0.7350946094491916,
      0.7268135101338693,
      0.7186396958153616,
      0.7105713989019763,
      0.7026068503381265,
      0.6947442937780816,
      0.686981994552129,
      0.6793182459317136,
      0.6717513731312955,
      0.6642797351229464,
      0.6569017259851585,
      0.6496157758286129,
      0.6424203503705617,
      0.6353139508230022,
      0.628295247135011,
      0.6213637121335072,
      0.614518949037409,
      0.6077602587972228,
      0.6010867420015585,
      0.5944973689596517,
      0.5879910284056706,
      0.5815665611603199,
      0.5752227828780492,
      0.5689585001800368,
      0.5627725214503653,
      0.5566636638112625,
      0.5506307583404714,
      0.5446726530201534,
      0.538788214653048,
      0.5329763302419339,
      0.527235907307684,
      0.5215658743231745,
      0.5159651807608502,
      0.5104327968349607,
      0.5049677131465583,
      0.4995689402859474,
      0.4942355084456976,
      0.48896646699673973,
      0.48376088405615625,
      0.47861784584492534,
      0.4735364564995054,
      0.4685158374231563,
      0.4635551268157471,
      0.45865347940834983,
      0.45381006579427685,
      0.44902407217206686,
      0.44429469996762966,
      0.4396211654392426,
      0.435002699113935,
      0.4304385456156012,
      0.42592796322538545,
      0.42147022358208647,
      0.4170646112951714,
      0.4127104237253329,
      0.40840697067993437,
      0.40415357392223467,
      0.3999495669016548,
      0.39579429478262484,
      0.3916871138833933,
      0.3876273914149566,
      0.38361450536825203,
      0.37964784411795016,
      0.3757268062781084,
      0.37185080040272817,
      0.36801924481218123,
      0.3642315672909962,
      0.3604872049125345,
      0.35678560401598824,
      0.353126169957591,
      0.3495081228163921,
      0.34593070439892104,
      0.3423932400771536,
      0.33889511587871013,
      0.33543576310073564,
      0.33201464654817925,
      0.32863125667346244,
      0.3252851039610382,
      0.3219757150798354,
      0.31870262992535,
      0.315465399464714,
      0.31226358434014384,
      0.3090967539711303,
      0.305964485530303,
      0.30286636345066753,
      0.2998019789295582,
      0.2967709296433398,
      0.29377297916906314,
      0.29080802469729156,
      0.287875886962078,
      0.28497632416219393,
      0.2821090520863454,
      0.2792737582535152,
      0.27647011172296004,
      0.2736977701252362,
      0.27095638483063555,
      0.2682456039955329,
      0.26556507508812677,
      0.26291444666158803,
      0.26029337559963567,
      0.25770157034972885,
      0.2551387543351518,
      0.25260463305497155,
      0.2500989772510967,
      0.2476216012363562,
      0.2451722844679624,
      0.2427507783157679,
      0.24035681104083464,
      0.23799009596005638,
      0.23565029497661202,
      0.23333703973527647,
      0.2310499809319116,
      0.22878878404806652,
      0.22655312606687703,
      0.22434269326873224,
      0.2221571796781713,
      0.21999628578789224,
      0.21785971779711205,
      0.21574718689042072,
      0.21365840898772445,
      0.21159310436623394,
      0.20955099724233284,
      0.2075318158975869,
      0.205535292089405,
      0.20356116127149437,
      0.2016091625054554,
      0.1996790380630695,
      0.1977705305189652,
      0.195883347591278,
      0.19401718609586743,
      0.19217176374298436,
      0.19034681376068552,
      0.18854208114067247,
      0.18675732023595593,
      0.1849922925811861,
      0.18324676581886762,
      0.1815205124539173,
      0.17981330950214167,
      0.17812493770711704,
      0.17645518125183293,
      0.1748038275570513,
      0.17317066698719397,
      0.17155549269216103,
      0.1699581007115945,
      0.16837828951499617,
      0.1668158601786153,
      0.1652706162391223,
      0.16374236372615936,
      0.16223091096658054,
      0.16073606859293174,
      0.15925764962210281,
      0.15779548115031486,
      0.1563495255499295,
      0.15491979378042117,
      0.15350623670657335,
      0.15210876364342568,
      0.15072725557785813,
      0.14936157419535906,
      0.14801156818496472,
      0.1466770778320291,
      0.14535793812051187,
      0.14405398108179696,
      0.14276503713172856,
      0.141490936304774,
      0.1402315089382705,
      0.1389865880664049,
      0.1377560168823273,
      0.1365396405250429,
      0.13533730198400495,
      0.13414884331693855,
      0.13297410657645103,
      0.13181293430929303,
      0.13066516992928812,
      0.12953065810514028,
      0.1284092449613335,
      0.12730077799749612,
      0.12620510644464208,
      0.12512208112452175,
      0.1240515546006785,
      0.12299338112534618,
      0.12194741662394067,
      0.12091351869789652,
      0.11989154666506266,
      0.11888136148497766,
      0.11788282584909286,
      0.11689580393308807,
      0.11592016165093368,
      0.11495576645657068,
      0.11400248744389128,
      0.11306018634758391,
      0.1121286757235945,
      0.11120776254103958,
      0.11029727673210041,
      0.10939706482487785,
      0.10850698549939997,
      0.1076269013127727,
      0.10675663554804554,
      0.10589600260939232,
      0.10504484138397652,
      0.10420300848585679,
      0.10337037347928399,
      0.10254681539871349,
      0.10173222044373341,
      0.10092648028658534,
      0.10012946313235092,
      0.09934100662196987,
      0.0985609644497797,
      0.0977892075070305,
      0.09702561924689082,
      0.09627009233185797,
      0.09552252650609247,
      0.09478282675584455,
      0.0940509021324547,
      0.09332666480725725,
      0.09261002954539566,
      0.09190091310685415,
      0.09119923397930856,
      0.09050491210481491,
      0.08981786871385761,
      0.08913802617032374,
      0.08846530818327855,
      0.08779964224378857,
      0.08714095787823135,
      0.08648918424811032,
      0.08584425041304358,
      0.0852060856824965,
      0.08457461956100074,
      0.08394978202468045,
      0.08333150357054847,
      0.08271971543327021,
      0.08211434937161328,
      0.08151533773724147,
      0.08092262701002592,
      0.0803361909607276,
      0.07975599733404612,
      0.07918200409957207,
      0.07861416236967174,
      0.0780524185335399,
      0.07749671583534892,
      0.07694699554246312,
      0.07640319761275033,
      0.07586526128374062,
      0.07533312541071284,
      0.07480672887953595,
      0.074286010768224,
      0.07377091041696118,
      0.0732613676963405,
      0.07275732281622187,
      0.07225871647939953,
      0.07176548997678288,
      0.07127758529111287,
      0.07079494481505835,
      0.07031751163090011,
      0.06984522946833219,
      0.06937804257230255,
      0.06891589578929093,
      0.06845873466544075,
      0.06800650512728688,
      0.06755915384786046,
      0.06711662810042651,
      0.06667887564947071,
      0.06624584482794074,
      0.06581748454360072,
      0.06539374426204703,
      0.06497457400146148,
      0.06455990887745068,
      0.06414965525336769,
      0.06374372747754288,
      0.0633420518821601,
      0.06294456356432766,
      0.06255120413316441,
      0.06216192006746593,
      0.0617766613437771,
      0.061395380688287086,
      0.061018032938334826,
      0.06064457454248372,
      0.06027496322889713,
      0.05990915770106009,
      0.05954711758857636,
      0.059188803226333235,
      0.058834175681795775,
      0.058483196406148685,
      0.05813582753285516,
      0.05779203161886224,
      0.057451771651693406,
      0.05711501106438422,
      0.05678171371387619,
      0.05645184381350367,
      0.05612536596867223,
      0.055802245181943606,
      0.05548244684734305,
      0.055165936675748886,
      0.05485268084461583,
      0.05454262737256251,
      0.05423570776892329,
      0.05393186249788422,
      0.05363104071479585,
      0.053333197717391395,
      0.05303829326400085,
      0.05274629058658715,
      0.05245715546170596,
      0.05217085565745298,
      0.05188736029234535,
      0.05160663971181542,
      0.051328665111678565,
      0.05105340847999381,
      0.05078084234136129,
      0.05051093975483019,
      0.05024367417373179,
      0.0499790194915506,
      0.049716949946516854,
      0.049457439992358895,
      0.04920046444997406,
      0.048945998501304974,
      0.04869401754796482,
      0.048444497201050075,
      0.04819741337683273,
      0.047952742228109364,
      0.04771046013066967,
      0.04747054367052226,
      0.04723296968285555,
      0.046997715272863595,
      0.04676475782493056,
      0.046534074853855446,
      0.046305644079288395,
      0.04607944350400651,
      0.04585545132798076,
      0.04563364593323682,
      0.045414005986962734,
      0.04519651031682153,
      0.04498113791089044,
      0.04476786802961797,
      0.04455668002604548,
      0.0443475536659879,
      0.044140468778525975,
      0.043935405406120884,
      0.04373234381568091,
      0.04353126450416429,
      0.04333214802677249,
      0.04313497515002185,
      0.04293972689748459,
      0.04274638451354537,
      0.042554929301074115,
      0.042365342860073214,
      0.0421776069169947,
      0.04199170341240252,
      0.041807614449274465
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.78646368944936,
      10.570901344991514,
      10.346997417997363,
      10.117272405609162,
      9.883993896371203,
      9.649157373975072,
      9.414523353196564,
      9.181617096893154,
      8.951754662614437,
      8.726026649040412,
      8.505287917011563,
      8.290151187946888,
      8.080993340383612,
      7.877973087580932,
      7.681057557588075,
      7.490054923213899,
      7.3046464324944855,
      7.124419136749991,
      6.948897125488649,
      6.777569610654289,
      6.609915326768139,
      6.445423154083269,
      6.283609156033242,
      6.124030374344087,
      5.966295777532028,
      5.810072655023102,
      5.655084449206582,
      5.50111824870126,
      5.348034821924579,
      5.1957627198771625,
      5.0442971042670735,
      4.893708148427058,
      4.744129979227828,
      4.595751205120852,
      4.448820943228084,
      4.303641713715338,
      4.160558758009438,
      4.019948169963647,
      3.882201717558536,
      3.7477165481727495,
      3.6168902952168267,
      3.4901095196948653,
      3.3677275041868064,
      3.2500543063260228,
      3.1373510069642023,
      3.029827071043828,
      2.927639418677626,
      2.8308914069598163,
      2.7396329493215266,
      2.6538541971698693,
      2.573500637390396,
      2.4984796271678946,
      2.4286499528460657,
      2.363806099814905,
      2.30368902520875,
      2.2480008414817196,
      2.1964065751060557,
      2.1485319125465665,
      2.103970562403101,
      2.0623152151702624,
      2.023197649980792,
      1.986246853121447,
      1.95113286663219,
      1.9175964954982585,
      1.885434107772057,
      1.8544828224449044,
      1.8246122422438662,
      1.7957132712585357,
      1.767694596419955,
      1.7404828869676456,
      1.7140158081580144,
      1.6882421153422988,
      1.6631191096675593,
      1.6386105380857232,
      1.6146850603672485,
      1.5913151275791475,
      1.5684761372056695,
      1.5461455563792799,
      1.5243026308140712,
      1.5029283003069607,
      1.4820045969526223,
      1.4615144348683093,
      1.4414419442182036,
      1.4217723299785148,
      1.4024917173620757,
      1.3835870335097953,
      1.365046087353437,
      1.3468579540789178,
      1.3290122138868945,
      1.3114987311384874,
      1.2943076849760877,
      1.2774295849352253,
      1.2608552764608858,
      1.2445759411785242,
      1.22858309146928,
      1.2128685622434112,
      1.1974245010637954,
      1.1822433570482342,
      1.1673180177439384,
      1.15264208051089,
      1.1382093280410825,
      1.1240141366967866,
      1.110051754544393,
      1.0963173135098696,
      1.0828057836338776,
      1.0695120754207854,
      1.0564311110257711,
      1.0435578726967265,
      1.0308874343195635,
      1.0184149819957833,
      1.006135826867857,
      0.9940454120719273,
      0.9821393156361808,
      0.9704132514374784,
      0.9588630675755159,
      0.9474847437043202,
      0.9362743881928809,
      0.9252282339489556,
      0.9143426344819326,
      0.9036140595380384,
      0.8930390908085861,
      0.8826144180564691,
      0.8723368348844149,
      0.8622032346369926,
      0.8522106067756282,
      0.8423560328903095,
      0.8326366829890486,
      0.8230498124968866,
      0.8135927588722011,
      0.8042629382202116,
      0.7950578422811926,
      0.7859752160359605,
      0.7770125831054139,
      0.7681674153614577,
      0.759437785784785,
      0.7508222970895813,
      0.742319408168176,
      0.7339274503369767,
      0.7256446808926489,
      0.7174693198763877,
      0.7093995756018511,
      0.701433662157896,
      0.6935698110343006,
      0.6858062789522713,
      0.6781413532321814,
      0.6705733545752353,
      0.6631006387806576,
      0.6557215979762172,
      0.6484346606908813,
      0.6412382914173433,
      0.6341309903109491,
      0.6271116607659034,
      0.620179949767623,
      0.6133353299372177,
      0.6065770120322846,
      0.5999040337726411,
      0.5933153217594153,
      0.5868097341084523,
      0.580386090167082,
      0.5740431908201775,
      0.5677798323037654,
      0.5615948156630783,
      0.5554869529328641,
      0.5494550715422654,
      0.5434980168112886,
      0.5376146537490366,
      0.5318038679872914,
      0.5260645663667223,
      0.5203956766235163,
      0.5147961475290692,
      0.5092649487504557,
      0.5038010705632611,
      0.4984035233695545,
      0.49307133715148427,
      0.4878035609896677,
      0.4825992627507921,
      0.4774575284894452,
      0.47237746207493075,
      0.4673581846381556,
      0.4623988341200181,
      0.4574985650250163,
      0.4526565476953584,
      0.4478719681495582,
      0.4431440275460997,
      0.43847194183340155,
      0.43385494146013753,
      0.42929227076560295,
      0.42478318789066105,
      0.42032696411691695,
      0.4159228839574685,
      0.4115702444743913,
      0.4072683550455272,
      0.4030165373003013,
      0.3988141244383082,
      0.3946604613552209,
      0.3905549039238526,
      0.3864968192619802,
      0.38248558510642855,
      0.37852058938707056,
      0.37460123050968974,
      0.370726916823354,
      0.36689706634061603,
      0.363111106660037,
      0.3593684746087758,
      0.3556686162408392,
      0.3520108622209549,
      0.3483944110449024,
      0.34481853447619604,
      0.3412825786378749,
      0.33778594426929626,
      0.33432807261179465,
      0.33090843542336557,
      0.32752652808251354,
      0.3241818644335534,
      0.32087397334333634,
      0.3176023961432025,
      0.31436668478255925,
      0.31116640057351735,
      0.30800111316620726,
      0.3048703999303963,
      0.30177384532156587,
      0.2987110404716254,
      0.29568160385703657,
      0.292685354650889,
      0.289722176995859,
      0.286791871646624,
      0.28389418252470544,
      0.2810288152499325,
      0.2781954501085696,
      0.27539375107150627,
      0.2726233720156657,
      0.2698839615334663,
      0.26717516585238477,
      0.2644966309317099,
      0.26184800419065096,
      0.2592289558769417,
      0.25663920787087147,
      0.25407847413541035,
      0.251546482627839,
      0.24904304390282592,
      0.24656795095898046,
      0.24412096691994972,
      0.24170182807832058,
      0.23931025200996076,
      0.23694593371758088,
      0.2346085134273009,
      0.23229762706133825,
      0.23001292845680266,
      0.22775408530479205,
      0.22552077611527033,
      0.22331268818237893,
      0.22112951613576898,
      0.21897096089471205,
      0.2168367288559796,
      0.21472653138846604,
      0.21264008439202414,
      0.21057710809626767,
      0.20853732673023512,
      0.20652046832931817,
      0.20452626465298512,
      0.2025544510606757,
      0.2006047663582086,
      0.1986769527547113,
      0.19677074354420004,
      0.19488583279558175,
      0.19302192432727444,
      0.19117874063656803,
      0.18935601825550033,
      0.1875535046319962,
      0.18577095557047865,
      0.1840081338078773,
      0.18226480767603787,
      0.18054075024023056,
      0.17883573873263264,
      0.1771495540492548,
      0.17548198044870053,
      0.17383280538818008,
      0.17220181925450898,
      0.17058881528180456,
      0.1689935892480031,
      0.16741593953519174,
      0.16585566724200254,
      0.16431257580122977,
      0.1627864710177846,
      0.16127716114530105,
      0.15978445679813125,
      0.1583082047002225,
      0.15684839854407898,
      0.15540503191540314,
      0.153978042771465,
      0.1525673307671914,
      0.15117276942945782,
      0.14979421442482632,
      0.1484315095306668,
      0.14708449110862354,
      0.14575299071557168,
      0.14443683715413203,
      0.1431358580909505,
      0.14184988093130815,
      0.14057873355767064,
      0.1393222524586122,
      0.13808028076003384,
      0.1368526591035964,
      0.1356392268964482,
      0.13443982304496327,
      0.1332542867682451,
      0.13208245811902083,
      0.13092417820753519,
      0.12977928957492316,
      0.12864763630380857,
      0.12752906400033406,
      0.1264234199527587,
      0.12533055328937082,
      0.12425031478632485,
      0.1231825569163991,
      0.122127133877845,
      0.12108390160387482,
      0.12005271771424442,
      0.11903344151086588,
      0.11802593408109405,
      0.11703005813978586,
      0.11604567797890197,
      0.11507265960701483,
      0.11411087055761847,
      0.11316017994453308,
      0.11222042923255164,
      0.11129141889699011,
      0.1103729661583018,
      0.10946490819558918,
      0.10856709679545715,
      0.10767939430977624,
      0.1068016553683499,
      0.10593369074441925,
      0.10507532390798695,
      0.10422640016777646,
      0.1033867807057574,
      0.10255633830158649,
      0.10173495437382356,
      0.10092251681728079,
      0.10011891860996813,
      0.09932402170935917,
      0.09853766351850907,
      0.09775970082839008,
      0.09699000666246281,
      0.09622846605680552,
      0.09547497281523244,
      0.094729427538736,
      0.09399173585270938,
      0.09326180720050135,
      0.0925395540713261,
      0.09182489148180602,
      0.09111773635213688,
      0.09041800734146542,
      0.08972562453050327,
      0.08904050930694529,
      0.08836258403918522,
      0.08769177220549396,
      0.08702800063214115,
      0.08637119903593662,
      0.08572129677806978,
      0.08507822310281987,
      0.08444190745146853,
      0.08381227954798355,
      0.08318926947286415,
      0.0825728078908739,
      0.08196283649194469,
      0.0813593278435855,
      0.08076224978795932,
      0.08017155966830034,
      0.07958720760100782,
      0.07900913870164201,
      0.07843729471218047,
      0.07787161516698614,
      0.07731203823180927,
      0.0767585012446934,
      0.0762109412792367,
      0.07566929530569416,
      0.07513350041221047,
      0.07460349406446147,
      0.07407921419183197,
      0.07356059911621665,
      0.07304758767627892,
      0.07254011932501471,
      0.07203813411829657,
      0.07154157271533318,
      0.07105037634301267,
      0.07056448692477171,
      0.07008384697036898,
      0.06960839956313113,
      0.06913808842276885,
      0.06867285790047889,
      0.06821265288094117,
      0.06775741889003967,
      0.06730710216046139,
      0.06686164940729789,
      0.06642100783143286,
      0.0659851253696071,
      0.06555395048917803,
      0.06512743213452783,
      0.06470551987878849,
      0.06428816388396422,
      0.06387530541551657,
      0.06346685273781709,
      0.06306271820653846,
      0.06266282682271061,
      0.062267112789119776,
      0.061875516964365024,
      0.06148798527804968,
      0.061104467391518695,
      0.06072491580246102,
      0.06034928520836451,
      0.059977532041153796,
      0.05960961389696659,
      0.05924548957480573,
      0.05888511867449499,
      0.05852846155416777,
      0.05817547930950289,
      0.05782613350468661,
      0.0574803862773786,
      0.057138200219877755,
      0.056799538456188264,
      0.05646436449202386,
      0.0561326422095802,
      0.055804335936826634,
      0.055479410381689215,
      0.055157830624918594,
      0.0548395620827658,
      0.054524570524751445,
      0.05421282226810857,
      0.053904283820546454,
      0.05359892202962854,
      0.05329669421237045,
      0.05299753484146246,
      0.052701383304161874,
      0.0524081878526494,
      0.05211790331599391,
      0.051830489444964406,
      0.05154590958466505,
      0.051264129761944006,
      0.05098511801214874,
      0.05070884392053389,
      0.050435278344572364,
      0.05016439305862126,
      0.049896160481520166,
      0.049630553680338946,
      0.04936754630662166,
      0.049107112331279734,
      0.04884922621033413,
      0.04859386275956641,
      0.048340997040536564,
      0.048090604469776595,
      0.047842660776995005,
      0.047597141853008854,
      0.04735402389098363,
      0.04711328336980389,
      0.046874896971732714,
      0.04663884162173356,
      0.04640509450557546,
      0.046173633015598896,
      0.04594443473234862,
      0.04571747754390229,
      0.045492739444775845,
      0.04527019866943872,
      0.04504983375684668,
      0.044831623399682254,
      0.04461554645333891,
      0.044401582120487525,
      0.04418970968851519,
      0.043979908597907104,
      0.04377215864833625,
      0.04356643975415616,
      0.04336273199307802,
      0.0431610156555904,
      0.042961271339689536,
      0.04276347973808223,
      0.042567621712287236,
      0.04237367827184618,
      0.04218163071315631,
      0.04199146057808482,
      0.04180314947046199,
      0.04161667911776364,
      0.04143203152858411,
      0.04124918888733361
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786449265055351,
      10.570854739652772,
      10.346905534847803,
      10.117125907433818,
      9.883787058600918,
      9.648886788966996,
      9.41418771773825,
      9.181216633809875,
      8.951290618960707,
      8.725500825169902,
      8.504702334014578,
      8.289507866742046,
      8.080294121873216,
      7.8772195042771,
      7.6802507519495515,
      7.489195613335182,
      7.303734927060306,
      7.123455376636613,
      6.947880752222162,
      6.77650005302773,
      6.608791898925044,
      6.444245164960851,
      6.28237602029509,
      6.122741726464638,
      5.964951581492059,
      5.808673048013133,
      5.653630073228758,
      5.49961056945787,
      5.346475996809488,
      5.194155803586437,
      5.0426459976961056,
      4.892017541535268,
      4.7424051196583505,
      4.593998012481312,
      4.447046061875903,
      4.301852410855151,
      4.158762793072683,
      4.0181536375507205,
      3.8804172031050816,
      3.745950790838403,
      3.615152262744637,
      3.488407870759935,
      3.3660701660306294,
      3.2484483549859906,
      3.135802578433926,
      3.028341245692374,
      2.926219850063919,
      2.829540622585186,
      2.7383522598803847,
      2.6526439528901165,
      2.5723604613375053,
      2.4974082491400402,
      2.427644575274889,
      2.3628623497253805,
      2.3028012858262525,
      2.2471626139786043,
      2.1956108854139043,
      2.1477715501613686,
      2.103238018459305,
      2.061603566379998,
      2.0225004657638097,
      1.9855580138886582,
      1.950447554232045,
      1.916911125423695,
      1.8847460439311783,
      1.8537900881921627,
      1.8239133996854133,
      1.7950071157414251,
      1.7669800835433611,
      1.7397592683019671,
      1.7132826022292087,
      1.6874990243472394,
      1.6623659689628991,
      1.6378472791305034,
      1.6139116833262852,
      1.5905316808376426,
      1.5676826621690938,
      1.54534205749107,
      1.5234891581192234,
      1.5021049360249605,
      1.4811715042040623,
      1.4606717990499936,
      1.4405899393727435,
      1.4209111210301484,
      1.4016214618977727,
      1.382707882592606,
      1.3641582053532482,
      1.3459615266122067,
      1.3281074092748637,
      1.3105857049874017,
      1.2933865827529327,
      1.2765005439099772,
      1.259918427826286,
      1.2436314108193867,
      1.2276310003454063,
      1.2119090275532938,
      1.1964576365603348,
      1.1812692738271335,
      1.1663368851251814,
      1.15165407408996,
      1.137214600726065,
      1.123012889590513,
      1.1090441856814188,
      1.0953035903834023,
      1.0817860515539899,
      1.068486463460778,
      1.0553997362738505,
      1.0425208430706072,
      1.0298448511170812,
      1.0173669412674329,
      1.005082420782751,
      0.9929867297187652,
      0.9810754437683993,
      0.969344274654838,
      0.9577890688063452,
      0.9464058045310266,
      0.9351905886647045,
      0.9241396530516691,
      0.9132493499925787,
      0.9025161482313351,
      0.8919366287095307,
      0.8815074804849178,
      0.8712254963425846,
      0.8610875687435022,
      0.8510906860918098,
      0.8412319290465179,
      0.8315084670588143,
      0.821917554959706,
      0.8124565293163822,
      0.803122805548494,
      0.7939139824341443,
      0.7848279400744391,
      0.7758621157985378,
      0.7670139904613309,
      0.7582817896051673,
      0.7496640578244892,
      0.7411591692833557,
      0.7327653959551435,
      0.7244809531774592,
      0.7163040315899453,
      0.7082328184271881,
      0.7002655129970946,
      0.692400336476877,
      0.6846355383330702,
      0.6769694005667705,
      0.6694002401671164,
      0.6619264102252091,
      0.6545463008183625,
      0.647258338840055,
      0.6400609879577627,
      0.6329527475895982,
      0.6259328563376025,
      0.6190010003486299,
      0.6121565329434846,
      0.6053985814107663,
      0.5987261251902615,
      0.592138050227503,
      0.5856331864108133,
      0.5792103333246508,
      0.5728682780688334,
      0.5666058070620029,
      0.5604217145440553,
      0.5543148078619864,
      0.5482839111393979,
      0.5423278675003032,
      0.5364455401658939,
      0.5306358135527038,
      0.5248975934658316,
      0.5192298070296393,
      0.513631402563786,
      0.5081013495629169,
      0.502638637791383,
      0.49724227720030034,
      0.49191129752559687,
      0.4866447475703306,
      0.4814416949871602,
      0.4763012256734982,
      0.4712224432647406,
      0.46620446865085735,
      0.46124643967104806,
      0.45634751050535705,
      0.45150685137498325,
      0.4467236480442519,
      0.4419971014567333,
      0.4373264272519346,
      0.43271085557158767,
      0.4281496304695902,
      0.4236420097408653,
      0.41918726453470234,
      0.41478467910966277,
      0.4104335503243022,
      0.40613318737307397,
      0.4018829115139841,
      0.39768205581438776,
      0.3935299647888116,
      0.38942599415830925,
      0.3853695106557504,
      0.3813598917511698,
      0.37739652519580097,
      0.37347880919869203,
      0.3696061517372588,
      0.3657779705017872,
      0.36199369286429006,
      0.35825275549138624,
      0.3545545861301513,
      0.3508984407357655,
      0.3472835254862337,
      0.3437091384280139,
      0.34017464427933025,
      0.3366794567870637,
      0.3332230261708609,
      0.32980483042734604,
      0.3264243691918884,
      0.32308115920771574,
      0.31977473124701494,
      0.31650462795193557,
      0.3132704021687916,
      0.31007161571919073,
      0.3069078384514958,
      0.30377864778617414,
      0.30068362813110566,
      0.29762237057164403,
      0.29459452719500817,
      0.29159996667258214,
      0.28863854715372894,
      0.28571005113647535,
      0.282814209678456,
      0.2799507191742414,
      0.27711925320616176,
      0.27431947095028986,
      0.271551023060365,
      0.2688135556619117,
      0.26610671307001615,
      0.2634301399028065,
      0.2607834824973109,
      0.2581664329800043,
      0.2555787154563529,
      0.25302003883961355,
      0.25049018210550006,
      0.24798895651000927,
      0.24551613630867555,
      0.24307146781243555,
      0.24065467426426068,
      0.23826546390163134,
      0.2359035077850501,
      0.2335684338826239,
      0.23125988255870417,
      0.22897751075632886,
      0.22672098818942954,
      0.22448999491211685,
      0.2222842190466248,
      0.22010335584551163,
      0.2179471067107284,
      0.2158151782418347,
      0.2137072818578324,
      0.21162313350747042,
      0.20956245341622762,
      0.20752496567873607,
      0.20551039821672215,
      0.20351848279705298,
      0.20154895463941253,
      0.19960155242681057,
      0.1976760182481035,
      0.1957720676086422,
      0.19388939192477575,
      0.1920277010956807,
      0.19018672192528832,
      0.18836619404086372,
      0.18656586687421528,
      0.18478549771968789,
      0.1830248502896991,
      0.18128369354555385,
      0.17956180099012728,
      0.1778589501152336,
      0.17617492200038806,
      0.17450950099900925,
      0.17286247453598783,
      0.17123363292690133,
      0.16962276934556275,
      0.1680296795453025,
      0.16645416187405646,
      0.16489601720145278,
      0.16335504890403355,
      0.1618310627369499,
      0.16032386677621757,
      0.1588333367098917,
      0.15735948345459735,
      0.15590228467911318,
      0.15446166655207563,
      0.15303751966609574,
      0.15162971038949657,
      0.15023808881537176,
      0.14886249418444594,
      0.14750275876955993,
      0.14615871075853895,
      0.14483017596812472,
      0.14351697932482665,
      0.14221894572350635,
      0.14093590353556587,
      0.13966769201308707,
      0.13841415001541474,
      0.13717511431655321,
      0.13595042090991255,
      0.1347399057933202,
      0.13354340565115455,
      0.13236075810522693,
      0.13119180214659665,
      0.13003637820222974,
      0.12889432826368274,
      0.12776549598238923,
      0.1266497268406929,
      0.1255468679786658,
      0.12445676837665397,
      0.12337927885931627,
      0.12231425187069268,
      0.12126154163000691,
      0.12022100415989542,
      0.11919249714908242,
      0.11817587997331302,
      0.11717101373492572,
      0.11617776125764372,
      0.11519598690896701,
      0.11422555663784556,
      0.11326633813888295,
      0.1123181956434666,
      0.11138094575538512,
      0.11045439070415727,
      0.1095383567136017,
      0.10863268735196077,
      0.10773723891113003,
      0.10685187706253212,
      0.10597643900432076,
      0.10511073438240054,
      0.10425459480990784,
      0.10340787143672377,
      0.1025704295026597,
      0.10174214487895694,
      0.10092290116573675,
      0.10011258779242224,
      0.09931109729499708,
      0.09851828571671777,
      0.09773399155879199,
      0.09695807455276041,
      0.09619040982703776,
      0.09543088396251147,
      0.09467939186780291,
      0.09393583492110805,
      0.09320011928937158,
      0.09247215489548366,
      0.09175185459089394,
      0.09103913358727105,
      0.09033390899887417,
      0.08963609959593258,
      0.08894562550029488,
      0.08826240802621538,
      0.08758636974819006,
      0.08691743421096414,
      0.08625552737914846,
      0.08560057891288834,
      0.08495251856481231,
      0.08431127582892894,
      0.08367678028720316,
      0.08304896898175784,
      0.08242781060401226,
      0.08181327438278999,
      0.08120531799908891,
      0.08060389117842283,
      0.08000893814121982,
      0.07942039940527168,
      0.07883821294390632,
      0.07826231525459425,
      0.07769264192866625,
      0.07712912812516495,
      0.07657170894445488,
      0.07602031958487232,
      0.07547489559555205,
      0.07493537278658031,
      0.0744016875666106,
      0.07387377690067347,
      0.073351578305247,
      0.07283502989324465,
      0.07232407041153109,
      0.07181863922016912,
      0.07131867639841251,
      0.07082412258932122,
      0.07033491907848383,
      0.06985100778628273,
      0.06937233126884383,
      0.06889883277244968,
      0.06843045603583946,
      0.06796714552726375,
      0.06750884621634162,
      0.06705550371721274,
      0.06660706418254453,
      0.06616347448917723,
      0.06572468204482276,
      0.06529063481620115,
      0.06486128127357968,
      0.06443657053414908,
      0.06401645216449887,
      0.06360087644936867,
      0.0631897879201294,
      0.06278309980723601,
      0.06238072247158889,
      0.06198257945274666,
      0.06158860391985835,
      0.06119873612511038,
      0.06081292153325557,
      0.0604311095506422,
      0.06005325245363817,
      0.05967930473556033,
      0.05930922272298074,
      0.05894296406561108,
      0.05858048747290814,
      0.058221752652094234,
      0.05786671997315925,
      0.05751535053428597,
      0.057167605930913225,
      0.056823448351096546,
      0.05648284056189042,
      0.056145745653211614,
      0.055812127161173945,
      0.05548194901832656,
      0.055155175639104714,
      0.054831771749286634,
      0.05451170251903363,
      0.0541949334907042,
      0.05388143057187563,
      0.0535711599246672,
      0.05326408819979643,
      0.05296018239685792,
      0.05265940974208204,
      0.05236173792007105,
      0.052067131581181904,
      0.051775532894696726,
      0.0514868790667045,
      0.051201117028069176,
      0.05091820085052298,
      0.05063808984364908,
      0.050360747232112944,
      0.05008613917893065,
      0.04981423388379609,
      0.04954500127769226,
      0.0492784125716269,
      0.04901443990568168,
      0.04875305626269263,
      0.048494235343739873,
      0.048237951233069454,
      0.04798417847848092,
      0.04773289206495968,
      0.04748406738074666,
      0.04723768005757531,
      0.046993706066305097,
      0.04675212160084141,
      0.04651290312201228,
      0.046276027335496135,
      0.04604147125988761,
      0.045809212133719364,
      0.045579227396632255,
      0.04535149473466065,
      0.04512599202807987,
      0.04490269744314553,
      0.04468158939126482,
      0.04446264641910951,
      0.044245847233057356,
      0.04403117074316281,
      0.04381859617774755,
      0.04360810299285329,
      0.04339967075368825,
      0.04319327926147427,
      0.04298890842985569,
      0.042786538492831365,
      0.04258614988599441,
      0.042387723179489405,
      0.042191239132537785,
      0.04199667866595511,
      0.041804022946394764,
      0.041613253265098064,
      0.041424351133231924,
      0.04123729836865253,
      0.041052076821156844,
      0.04086866848919601,
      0.040687055630743055
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786434954385204,
      10.570808518391564,
      10.346814439631583,
      10.116980706383115,
      9.883582094240824,
      9.64861868226928,
      9.41385517415284,
      9.180819889402175,
      8.950830924987413,
      8.724979982127381,
      8.504122356103778,
      8.288870763130802,
      8.079601723979632,
      7.8764733354734595,
      7.679451947178132,
      7.48834488482459,
      7.302832580519756,
      7.122501353042975,
      6.946874695521983,
      6.775441395504701,
      6.607679962546617,
      6.443079267430945,
      6.281155586386296,
      6.121466398825674,
      5.9636213296559335,
      5.807288012612886,
      5.652190896668861,
      5.498118714103351,
      5.3449336102738805,
      5.192565926489082,
      5.041012510756865,
      4.8903451049304625,
      4.740698941776497,
      4.592263964345903,
      4.445290731366443,
      4.300083000488012,
      4.156986988319861,
      4.01637945369859,
      3.878653140143035,
      3.744205498678832,
      3.6134346162803186,
      3.4867264339696487,
      3.364432774472428,
      3.2468619984936717,
      3.1342733128652744,
      3.026873943839117,
      2.924817988896361,
      2.8282067036579153,
      2.7370875789237386,
      2.651448855777519,
      2.5712345730685464,
      2.4963502995637064,
      2.426651780744897,
      2.361930374538572,
      2.301924560105847,
      2.2463346987978317,
      2.194824877936226,
      2.147020313262432,
      2.1025140815052814,
      2.0609000851477686,
      2.0218110844367714,
      1.984876686115155,
      1.9497695205553123,
      1.9162328458078772,
      1.8840649174297304,
      1.8531041654306228,
      1.8232212633662215,
      1.7943075792781102,
      1.7662721148553875,
      1.7390421284830646,
      1.7125558173545434,
      1.6867623033228187,
      1.661619151762971,
      1.6370903000185864,
      1.6131445441471022,
      1.5897544316291072,
      1.566895338516138,
      1.5445446670032152,
      1.522681753768597,
      1.5012876016838461,
      1.4803444045752796,
      1.4598351212806597,
      1.4397438591041738,
      1.4200558043146867,
      1.4007570671191598,
      1.3818345616734438,
      1.3632761386823926,
      1.3450708951201071,
      1.3272083783645137,
      1.309678427930636,
      1.2924712035589214,
      1.2755771990520997,
      1.2589872474351045,
      1.2426925199492587,
      1.2266845200584036,
      1.2109550748525857,
      1.1954963257136024,
      1.180300716129144,
      1.1653612498722892,
      1.1506715367248963,
      1.1362253139175502,
      1.1220170538019543,
      1.1080419993749675,
      1.094295221370126,
      1.0807716449895652,
      1.0674661480898493,
      1.0543736288774128,
      1.0414890515787514,
      1.0288074768473585,
      1.0163240805452474,
      1.0040341658944805,
      0.9919331699103284,
      0.9800166656286539,
      0.9682803629012808,
      0.9567201061513975,
      0.945331872154084,
      0.9341117669345098,
      0.9230560208719677,
      0.9121609853641262,
      0.9014231283008777,
      0.890839029509729,
      0.8804053769236314,
      0.8701189624920648,
      0.8599766780736737,
      0.8499755112921741,
      0.8401125421992135,
      0.8303849395523736,
      0.8207899573974703,
      0.8113249315213081,
      0.801987276561898,
      0.7927747973168472,
      0.7836853970575491,
      0.7747164140553284,
      0.7658653977272925,
      0.7571307071258293,
      0.7485107796892231,
      0.7400039152973845,
      0.7316083332683707,
      0.7233222120422143,
      0.7151437161772909,
      0.7070710147664117,
      0.6991022942369352,
      0.6912357665768841,
      0.6834696747796546,
      0.6758022961225009,
      0.6682319440387878,
      0.6607569693920968,
      0.6533757605832435,
      0.6460867432409245,
      0.6388883797866027,
      0.6317793362475916,
      0.624759107525318,
      0.6178272499188983,
      0.6109830215726337,
      0.6042254834849878,
      0.5975535688321678,
      0.590966131371845,
      0.5844619786508578,
      0.5780398944500426,
      0.5716986547392723,
      0.5654370384961301,
      0.5592538345233676,
      0.5531478465819625,
      0.5471178961255797,
      0.5411628241519609,
      0.5352814926157307,
      0.5294727848536778,
      0.5237356059200299,
      0.5180688825072471,
      0.5124715625853808,
      0.5069426150421795,
      0.5014810293804542,
      0.4960858152968297,
      0.49075600229808586,
      0.48549063895098543,
      0.4802887926070277,
      0.47514954894339634,
      0.4700720112969076,
      0.46505530047917876,
      0.46009855410937056,
      0.45520092607595175,
      0.4503615863070102,
      0.44557972036796617,
      0.4408545289389953,
      0.4361852274278775,
      0.4315710457704261,
      0.42701122793680707,
      0.4225050314503334,
      0.4180517272241688,
      0.4136505990819724,
      0.40930094357361785,
      0.4050020697056871,
      0.4007532986133385,
      0.3965539629455349,
      0.3924034069807261,
      0.3883009862796651,
      0.3842460672831512,
      0.3802380270831737,
      0.3762762533944757,
      0.37236014396420736,
      0.3684891065645254,
      0.3646625587293193,
      0.36087992741360925,
      0.35714064890734903,
      0.35344410641545004,
      0.34978949482696464,
      0.3461760530771221,
      0.34260310204654676,
      0.339070022305777,
      0.3355762386003524,
      0.3321212089479155,
      0.3287044167060862,
      0.32532536510006177,
      0.32198357344030126,
      0.31867857419053475,
      0.31540991100360405,
      0.31217713736233216,
      0.3089798154396656,
      0.3058175154039835,
      0.302689814645375,
      0.2995962975194497,
      0.29653655494625736,
      0.29351029568074577,
      0.2905174075160178,
      0.28755772475602004,
      0.28463101324189166,
      0.2817369921050597,
      0.27887534916273854,
      0.2760457520352271,
      0.2732478556887223,
      0.27048130742334425,
      0.2677457510443557,
      0.2650408293021959,
      0.2623661856803041,
      0.25972147578669946,
      0.2571064087362185,
      0.25452070047828973,
      0.25196408869738485,
      0.24943638473255067,
      0.24693737683333317,
      0.24446682336140646,
      0.24202445589935012,
      0.2396099871114796,
      0.23722311469519652,
      0.2348634847256127,
      0.23253072190567134,
      0.23022447083608796,
      0.22794439136253022,
      0.22569015532475353,
      0.22346144396687354,
      0.2212579465594876,
      0.21907935891765012,
      0.2169253826753855,
      0.21479572472806305,
      0.2126900966632377,
      0.2106082144196402,
      0.20854979810945093,
      0.20651457185102504,
      0.20450226348386497,
      0.202512604534727,
      0.20054533010305942,
      0.19860017875586078,
      0.19667688678460918,
      0.194775154279994,
      0.19289467598216206,
      0.19103516709007345,
      0.1891963581698557,
      0.1873779914810089,
      0.18557981828492962,
      0.1838015971763608,
      0.1820430927066556,
      0.18030407444607832,
      0.17858431620185203,
      0.176883595631073,
      0.17520169389058732,
      0.17353839537360496,
      0.17189348754490233,
      0.17026676074675454,
      0.16865800794974053,
      0.1670670248607654,
      0.16549360970179858,
      0.16393756321863295,
      0.16239868872242233,
      0.16087679187138587,
      0.1593717853901945,
      0.15788368476635642,
      0.1564124530681968,
      0.154958005509103,
      0.153520224300205,
      0.15209896926509012,
      0.15069408512886245,
      0.14930540666085715,
      0.14793276243502618,
      0.14657597719714316,
      0.14523487387198647,
      0.1439092746269638,
      0.1425990021152993,
      0.14130388854907966,
      0.14002377127431587,
      0.13875848488373332,
      0.1375078626240909,
      0.13627173725541158,
      0.1350499420216796,
      0.13384231104326685,
      0.13264867959677598,
      0.13146888443674973,
      0.13030276393091553,
      0.12915015802233923,
      0.1280109085276068,
      0.12688485892581358,
      0.12577185460473744,
      0.12467174266164914,
      0.12358437207897291,
      0.12250959356248178,
      0.12144725970391312,
      0.12039722478055138,
      0.11935934477067353,
      0.1183334774576056,
      0.11731948236796984,
      0.11631722062067575,
      0.1153265550869744,
      0.11434735025092976,
      0.11337947219639198,
      0.11242278861870152,
      0.11147714683492405,
      0.11054234652245501,
      0.10961820065925369,
      0.108704543038052,
      0.10780122263490972,
      0.10690809956266076,
      0.10602503609576854,
      0.105151854241922,
      0.10428836862674894,
      0.10343441803654593,
      0.10258985859811943,
      0.10175455935634951,
      0.1009283987093348,
      0.10011126219615403,
      0.09930304057895277,
      0.09850362341917922,
      0.09771286154093722,
      0.09693059707907806,
      0.09615669230134997,
      0.09539102426298535,
      0.0946334809266259,
      0.09388395824670921,
      0.09314235826405579,
      0.09240858766932769,
      0.09168255679133558,
      0.09096417878364689,
      0.09025336908285123,
      0.08955004496450722,
      0.0888541252841428,
      0.08816553022407846,
      0.08748418128063368,
      0.08681000108458435,
      0.08614291317484657,
      0.08548284285020662,
      0.08482971944065065,
      0.08418347618102451,
      0.08354407595814305,
      0.0829114914730518,
      0.08228568214298403,
      0.08166659828725278,
      0.08105418390803484,
      0.08044837863531037,
      0.07984911928578696,
      0.07925634088291345,
      0.07866997735136336,
      0.07808996201989726,
      0.0775162280038513,
      0.07694870860576833,
      0.07638733735098478,
      0.07583204814790401,
      0.0752827753956951,
      0.0747394541033037,
      0.07420201970520694,
      0.07367040839758854,
      0.073144556904365,
      0.07262440271311725,
      0.0721098839988507,
      0.07160093944866928,
      0.07109750850161012,
      0.07059953126078845,
      0.07010694836983433,
      0.06961970127620189,
      0.06913773200115264,
      0.06866098312214178,
      0.06818939785892746,
      0.06772292007303718,
      0.06726149433970958,
      0.06680506576482427,
      0.0663535800616327,
      0.06590698349922368,
      0.06546522299003633,
      0.06502824597284992,
      0.06459600046656844,
      0.06416843509751596,
      0.06374549903034106,
      0.0633271420124432,
      0.06291331436339259,
      0.06250396360626634,
      0.06209900737070134,
      0.06169835431601532,
      0.061301926707254366,
      0.06090965679392433,
      0.06052148418951739,
      0.06013735394150758,
      0.05975721509938484,
      0.059381019775529516,
      0.0590087224309553,
      0.058640279275143994,
      0.058275647990853656,
      0.05791478731489284,
      0.05755765688730207,
      0.05720421717687007,
      0.05685442927011417,
      0.0565082548120525,
      0.056165656117645485,
      0.055826595885157024,
      0.055491037369012154,
      0.055158944141228614,
      0.05483028025814645,
      0.05450501011073173,
      0.05418309857860341,
      0.053864510886721284,
      0.05354921260675262,
      0.053237169662810814,
      0.05292834838943931,
      0.05262271539402814,
      0.05232023773518944,
      0.052020882845156026,
      0.0517246184219515,
      0.05143141239561776,
      0.05114123317524028,
      0.05085404943351402,
      0.05056981499559037,
      0.050288467133680764,
      0.05000995057506456,
      0.04973421796076786,
      0.04946122772691739,
      0.04919094261955681,
      0.048923328655567824,
      0.048658354108940274,
      0.04839598910094649,
      0.04813620505393213,
      0.04787897456084434,
      0.047624271004637266,
      0.04737206849242449,
      0.04712234168779807,
      0.046875065721391995,
      0.04663021603968166,
      0.04638776847129073,
      0.0461476991834162,
      0.045909984693832034,
      0.045674601725006814,
      0.04544152731671888,
      0.045210738733158805,
      0.044982213552349645,
      0.04475592946704178,
      0.044531864413935814,
      0.04430999662097169,
      0.04409030452546664,
      0.04387276675347026,
      0.04365736214435933,
      0.04344406967447458,
      0.04323286858792349,
      0.04302373842051879,
      0.0428166587989026,
      0.042611609621679085,
      0.04240857100310709,
      0.042207523182471375,
      0.042008446564679225,
      0.041811321780370815,
      0.0416161297532081,
      0.041422851421706486,
      0.04123146805601308,
      0.04104196101584327,
      0.040854311976830295,
      0.04066850267095067,
      0.04048451498049764,
      0.040302331093153385,
      0.040121933301764494
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786420758049308,
      10.570762681613823,
      10.34672413010875,
      10.116836796940623,
      9.883378993603687,
      9.648353055482318,
      9.413525752901473,
      9.180426921548182,
      8.950375661709131,
      8.724464216725377,
      8.503548095212258,
      8.288240008407227,
      8.078916294058992,
      7.875734742887791,
      7.678661317498547,
      7.487502923565233,
      7.301939590527959,
      7.121557276242895,
      6.945879179575965,
      6.77439387973137,
      6.606579776343293,
      6.4419257357139825,
      6.279948141111192,
      6.120204689528668,
      5.962305332829538,
      5.80591787246135,
      5.650767257076343,
      5.49664303384963,
      5.34340802843348,
      5.190993469911998,
      5.039397038618969,
      4.888691247603108,
      4.739011868528785,
      4.59054949865964,
      4.443555403840593,
      4.298333947474452,
      4.155231822447965,
      4.014626109986129,
      3.8769100316576734,
      3.742481237830131,
      3.6117380292461916,
      3.4850659778102777,
      3.3628161816317954,
      3.2452961606998096,
      3.1327641955753354,
      3.025426315970113,
      2.923435235967849,
      2.8268912696840722,
      2.7358407161840494,
      2.6502708767848553,
      2.5701250779541804,
      2.495307902337764,
      2.4256736119741102,
      2.361012134845311,
      2.3010607275905337,
      2.2455188962065495,
      2.1940502188742017,
      2.146279748307347,
      2.101800165011586,
      2.060206072980127,
      2.0211307131082332,
      1.9842039989900813,
      1.949099830376275,
      1.9155626678007711,
      1.8833916941159983,
      1.852425981424813,
      1.8225367273138973,
      1.7936155271266536,
      1.7655715310796176,
      1.738332287081355,
      1.711836254316333,
      1.6860327340787435,
      1.660879421928749,
      1.6363403488379016,
      1.6123843771947295,
      1.5889841013455563,
      1.5661148523420911,
      1.5437540437180166,
      1.5218810540777135,
      1.5004769149539254,
      1.4795238994046946,
      1.4590049890780072,
      1.4389042784422652,
      1.4192069440009822,
      1.3998990873886594,
      1.3809676157373005,
      1.3624004084039258,
      1.3441865623646774,
      1.3263156090699442,
      1.30877737589751,
      1.2915620129504075,
      1.2746600064645688,
      1.2580621834856374,
      1.2417597102257996,
      1.2257440857350856,
      1.2100071335783995,
      1.1945409917050667,
      1.1793381007360042,
      1.1643915227965445,
      1.1496948738512631,
      1.1352418756072542,
      1.121027045192358,
      1.1070456150370123,
      1.09329262631077,
      1.079762982889137,
      1.0664515470784113,
      1.053353205515733,
      1.0404629137597226,
      1.0277757254164757,
      1.0152868113201843,
      1.0029914709152552,
      0.9908851381759496,
      0.9789633838295863,
      0.9672219157409929,
      0.9556565769186797,
      0.9442633426306927,
      0.9330383174513691,
      0.9219777306158321,
      0.9110779322731849,
      0.9003353892101617,
      0.8897466804955315,
      0.8793084932367663,
      0.869017618486816,
      0.8588709472845002,
      0.8488654667600407,
      0.8389982560809441,
      0.8292664831323863,
      0.8196674010423259,
      0.8101983452394902,
      0.8008567907799784,
      0.7916407601364635,
      0.7825480657859498,
      0.7735759600901647,
      0.7647221496758887,
      0.7559850262270823,
      0.7473629327640956,
      0.7388541027426392,
      0.7304567090019219,
      0.7221688970326189,
      0.71398880803564,
      0.7059145947988714,
      0.6979444322057959,
      0.6900765242004424,
      0.6823091079046432,
      0.6746404563883971,
      0.6670688803191058,
      0.6595927283044102,
      0.6522103870869449,
      0.6449202810955983,
      0.6377208718216936,
      0.6306110864268557,
      0.6235905566925868,
      0.6166587114845165,
      0.609814720846886,
      0.6030575840473873,
      0.5963861914789595,
      0.5897993669450982,
      0.5832958970014241,
      0.5768745509607379,
      0.5705340946829143,
      0.5642732998016857,
      0.5580909503325695,
      0.5519858463582328,
      0.5459568067940314,
      0.5400026709692789,
      0.5341222994927736,
      0.5283145749209378,
      0.5225784015490028,
      0.5169127054750767,
      0.511316434179389,
      0.5057885562328369,
      0.5003280609861984,
      0.4949339578625623,
      0.48960527599170933,
      0.4843410638596947,
      0.47914038859475283,
      0.47400233557790294,
      0.46892600802445555,
      0.46391052638636976,
      0.45895502798347804,
      0.4540586665349998,
      0.44922061177157496,
      0.44444004900157397,
      0.43971617863351364,
      0.43504821591035514,
      0.4304353904500963,
      0.42587694597527287,
      0.42137213977527554,
      0.41692024246154974,
      0.4125205376862663,
      0.40817232187681474,
      0.40387490370717744,
      0.39962760391731816,
      0.39542975502347383,
      0.3912807010227005,
      0.38717979714242823,
      0.38312640956023525,
      0.3791199152214703,
      0.37515970145062,
      0.37124516578821826,
      0.3673757156742148,
      0.3635507683580871,
      0.35976975060471966,
      0.3560320985789979,
      0.35233711232868936,
      0.34868397629127945,
      0.3450719584096149,
      0.3415003997340201,
      0.33796869511216726,
      0.33447627908428923,
      0.33102261646375647,
      0.3276071953303329,
      0.3242295221194387,
      0.32088911840891593,
      0.3175855180949151,
      0.31431826568498705,
      0.31108691516887954,
      0.30789102905648574,
      0.30473017756761384,
      0.3016039381745297,
      0.29851189511508663,
      0.29545363915452943,
      0.2924289437817072,
      0.2894377049292828,
      0.2864797341180763,
      0.28355478093607,
      0.2806625529994543,
      0.2778027299932105,
      0.2749749737386337,
      0.2721789349110386,
      0.26941425793412777,
      0.2666805844641908,
      0.26397755542588847,
      0.26130481300825437,
      0.25866202920787157,
      0.2560489221783865,
      0.2534652068232035,
      0.25091066908571846,
      0.24838511610903863,
      0.24588831800544136,
      0.24342001679994318,
      0.24097993114447686,
      0.23856776470015603,
      0.2361831977819482,
      0.2338258557355755,
      0.2314953684201472,
      0.22919138397069572,
      0.22691356474588004,
      0.22466158412328108,
      0.2224351245124025,
      0.22023387572519,
      0.2180575340804309,
      0.21590580148769542,
      0.21377838501709956,
      0.2116749963168112,
      0.2095953513858477,
      0.20753917025543123,
      0.20550617684561515,
      0.20349609889519993,
      0.2015086679640753,
      0.19954361903834722,
      0.19760069051249218,
      0.19567960693547742,
      0.19378005742124432,
      0.19190174363791526,
      0.1900443855637815,
      0.18820771698740893,
      0.18639148244340123,
      0.18459543485941177,
      0.1828193338551134,
      0.1810629446992921,
      0.17932603742509265,
      0.17760838622736325,
      0.17590976888536802,
      0.1742299666540455,
      0.17256876406412264,
      0.17092594840081277,
      0.1693013098520911,
      0.16769464148717012,
      0.1661057388744658,
      0.16453440013275897,
      0.16298042596443088,
      0.16144362411473984,
      0.15992394093616447,
      0.15842139132188457,
      0.15693592507476403,
      0.15546744721387917,
      0.15401583210912353,
      0.1525809332718179,
      0.15116259038566346,
      0.1497606340177008,
      0.14837488898216222,
      0.14700517685987258,
      0.1456513176380387,
      0.144313130706497,
      0.14299043993200755,
      0.1416830791783608,
      0.14039088121311763,
      0.13911367664978294,
      0.13785129532095095,
      0.13660356720151012,
      0.13537032285410291,
      0.13415139392027647,
      0.13294661347430306,
      0.13175581613357584,
      0.13057883809073967,
      0.12941551732283096,
      0.1282656936406241,
      0.12712920863608507,
      0.12600590580093077,
      0.12489563047340908,
      0.12379822979775057,
      0.12271355271510455,
      0.12164145000496696,
      0.12058177425665112,
      0.11953437971960044,
      0.11849912261757226,
      0.11747586078859591,
      0.11646445371248347,
      0.11546476262668176,
      0.11447665046984518,
      0.11349998176154838,
      0.11253462269096702,
      0.11158043988252458,
      0.11063725390529254,
      0.10970486224459929,
      0.10878308743187456,
      0.10787177009328411,
      0.10697076410131043,
      0.10607993297317522,
      0.10519912973066085,
      0.10432816455665464,
      0.10346686116095517,
      0.10261506474649669,
      0.10177263607527898,
      0.1009394474773469,
      0.10011537973095024,
      0.0993003199609564,
      0.09849416022361371,
      0.097696786859105,
      0.09690804522684124,
      0.0961277811491838,
      0.09535585957339827,
      0.09459215944127225,
      0.09383656999443597,
      0.09308898823878625,
      0.09234931692224363,
      0.09161746331715064,
      0.09089333807057635,
      0.09017685464043249,
      0.08946792859552621,
      0.0887664774264244,
      0.0880724201281325,
      0.0873856770301355,
      0.08670616961233646,
      0.0860338204907086,
      0.08536855336888541,
      0.08471031779588893,
      0.084059088243306,
      0.08341482885182601,
      0.08277749258456407,
      0.08214702463878856,
      0.08152336488570702,
      0.08090644966925052,
      0.08029621293883263,
      0.07969258731244981,
      0.0790955046413737,
      0.07850489629807664,
      0.07792069360551686,
      0.07734282810062768,
      0.07677123168071481,
      0.07620583673547456,
      0.0756465761469133,
      0.07509338343446138,
      0.07454619279435065,
      0.07400493896626012,
      0.07346955743638861,
      0.07293998423898945,
      0.07241615620868182,
      0.07189801083808083,
      0.07138548625247874,
      0.07087852125675989,
      0.07037705531190065,
      0.06988102858691747,
      0.06939038188323045,
      0.06890505665680018,
      0.06842499495671645,
      0.06795013950630674,
      0.06748043361461413,
      0.06701582129405939,
      0.06655624711013235,
      0.06610165629423201,
      0.0656519945756626,
      0.06520720833068824,
      0.06476724451770802,
      0.06433205072897827,
      0.06390157514943925,
      0.06347576643520886,
      0.06305457385773659,
      0.06263794719262136,
      0.062225836855445645,
      0.06181819293336684,
      0.061414937332204475,
      0.06101597703476799,
      0.0606212331862616,
      0.060230637305407564,
      0.05984412839075358,
      0.05946165113465594,
      0.05908315436586466,
      0.05870859004257581,
      0.058337912458098946,
      0.05797107778004317,
      0.05760804361581304,
      0.05724876872993737,
      0.05689321283592128,
      0.056541336417134824,
      0.056193100582619906,
      0.055848467116034035,
      0.055507398358741765,
      0.05516985708849392,
      0.0548358064954407,
      0.05450521029962949,
      0.05417803251718235,
      0.053854237768859475,
      0.05353379097985848,
      0.05321665737356691,
      0.052902802603289986,
      0.05259219266584673,
      0.052284793944252256,
      0.05198057314325135,
      0.051679497388561535,
      0.05138153410502552,
      0.0510866509691685,
      0.05079481612334904,
      0.050505998016530676,
      0.050220165386216556,
      0.04993728736544288,
      0.04965733333999612,
      0.04938026896048789,
      0.04910603831366196,
      0.04883458292140999,
      0.04856585315950451,
      0.04829980604367282,
      0.04803640349696378,
      0.04777561095125264,
      0.047517396464888534,
      0.04726173020673602,
      0.047008583846835476,
      0.04675793022631139,
      0.046509743117761,
      0.04626399693512722,
      0.04602066680243184,
      0.045779728319791116,
      0.0455411574776399,
      0.045304930585326295,
      0.0450710243311365,
      0.04483941568168328,
      0.04461008189999289,
      0.04438300053308967,
      0.044158149448291856,
      0.04393550668625787,
      0.04371505042290103,
      0.04349675911622703,
      0.04328061147937703,
      0.043066586435640694,
      0.04285466306140977,
      0.0426448207176305,
      0.04243703894666756,
      0.042231297446509185,
      0.042027576166370956,
      0.041825855247102854,
      0.04162611505195347,
      0.04142833609918682,
      0.04123249914493633,
      0.04103858505062705,
      0.04084657493727383,
      0.04065645000329684,
      0.04046819179136993,
      0.04028178197641566,
      0.04009720236367664,
      0.03991443498618196,
      0.03973346198992225,
      0.039554265700721264
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786406678793998,
      10.570717241930046,
      10.346634640529262,
      10.116694241674661,
      9.88317785635341,
      9.648090053546976,
      9.413199646792016,
      9.18003797380757,
      8.949925130935029,
      8.723953895438104,
      8.502979982530412,
      8.287616096099955,
      8.078238393293253,
      7.875004357269233,
      7.677879564520376,
      7.486670503099354,
      7.301056801828218,
      7.120624059938207,
      6.9448951858909265,
      6.7733585540138375,
      6.605492456441933,
      6.440785757219919,
      6.278754946617963,
      6.118957938249173,
      5.961005007591876,
      5.804564121407608,
      5.649360724350083,
      5.495185173804935,
      5.341900969901775,
      5.18944022552625,
      5.037801444980074,
      4.887057904030976,
      4.7373459026217555,
      4.588856681032893,
      4.441842202653385,
      4.296607427441037,
      4.153499515552336,
      4.012895862941932,
      3.8751901629499175,
      3.7407802665860546,
      3.610064682497129,
      3.483428606515936,
      3.3612224152368824,
      3.2437527939194957,
      3.1312771039366893,
      3.024000188273255,
      2.922073390293228,
      2.8255960911703,
      2.7346134122767802,
      2.649111726819719,
      2.5690336573872896,
      2.494282810870012,
      2.4247119747425914,
      2.3601096612596644,
      2.3002119216769357,
      2.244717420605801,
      2.193289175612047,
      2.145552157533586,
      2.1010986454796594,
      2.0595239528990046,
      2.0204617992392584,
      1.9835423968984986,
      1.9484409124965258,
      1.9149029813558782,
      1.8827287125504648,
      1.851757826076651,
      1.8218620289642804,
      1.7929331417791237,
      1.7648804851423128,
      1.7376318644131938,
      1.7111259995491535,
      1.6853123702182127,
      1.6601488007444098,
      1.6355994140588725,
      1.6116331384444167,
      1.5882226147918705,
      1.5653431279325591,
      1.5429721028077945,
      1.5210889597314137,
      1.4996747592106061,
      1.4787118256913256,
      1.4581832011155715,
      1.4380729637286245,
      1.4183662774698547,
      1.3990492343104646,
      1.3801087329932271,
      1.3615326803460626,
      1.3433101729608647,
      1.325430726566744,
      1.3078841556780922,
      1.2906606008824033,
      1.2737505407512713,
      1.2571447956792785,
      1.2408345265691976,
      1.2248112283726547,
      1.209066721075037,
      1.1935931394303203,
      1.1783829222823623,
      1.1634291892047544,
      1.1487255609720477,
      1.1342657450283136,
      1.120044302239008,
      1.1060564538266509,
      1.0922972119132959,
      1.0787614587909482,
      1.065444041253092,
      1.0523398344454946,
      1.0394437852245935,
      1.026750941020684,
      1.0142564678929198,
      1.0019556611941833,
      0.9898439515874871,
      0.9779169074679307,
      0.9661702347838858,
      0.9545997747854366,
      0.9432015014419748,
      0.9319715177736119,
      0.9209060518627145,
      0.9100014529505971,
      0.8992541869036,
      0.8886608318025191,
      0.8782180737967618,
      0.8679227030574668,
      0.8577716097625313,
      0.8477617801461976,
      0.8378902926946794,
      0.8281543146688874,
      0.8185510984212941,
      0.8090779785504872,
      0.79973259266676,
      0.7905131034841738,
      0.7814171693244402,
      0.7724419690202807,
      0.7635853971938151,
      0.7548458530733452,
      0.7462215915770789,
      0.737710784173791,
      0.7293115599512291,
      0.7210220334937374,
      0.7128403244919085,
      0.7047645704996749,
      0.6967929355362438,
      0.6889236157921047,
      0.6811548429532661,
      0.6734848862617611,
      0.6659120534852017,
      0.6584346912179607,
      0.651051184579622,
      0.6437599570341918,
      0.6365594888545432,
      0.6294490329271842,
      0.6224282399492685,
      0.6154964222296629,
      0.6086526683252451,
      0.601895920959606,
      0.5952250308572451,
      0.5886387943189736,
      0.5821359786795629,
      0.575715339827623,
      0.5693756341387369,
      0.5631156268758657,
      0.5569340973441106,
      0.5508298423497775,
      0.5448016786424899,
      0.5388484438962385,
      0.532968997588141,
      0.5271622212738607,
      0.5214270186479406,
      0.515762315217561,
      0.5101670580764298,
      0.5046402154784295,
      0.49918077644299697,
      0.4937877501922603,
      0.48846016560056765,
      0.4831970708373027,
      0.4779975327983463,
      0.4728606365829299,
      0.4677854852719429,
      0.4627711990697792,
      0.45781691510739175,
      0.45292178694250296,
      0.4480849840386292,
      0.4433056914524725,
      0.43858310940154355,
      0.4339164528146781,
      0.4293049510703017,
      0.4247478475934603,
      0.4202443994903888,
      0.41579387709504984,
      0.411395563835442,
      0.40704875588626616,
      0.40275276155923767,
      0.3985069014222566,
      0.39431050772540155,
      0.3901629242276721,
      0.3860635059163662,
      0.38201161867158184,
      0.37800663910452403,
      0.3740479543164091,
      0.3701349615535711,
      0.36626706811477777,
      0.3624436909269197,
      0.3586642565011766,
      0.3549281727876411,
      0.3512346700070075,
      0.34758295041440646,
      0.3439723068677964,
      0.34040209776247915,
      0.3368717299689853,
      0.3333806465250054,
      0.32992831818552276,
      0.32651423707138627,
      0.32313791240694084,
      0.31979886745457864,
      0.3164966373939595,
      0.31323076757938856,
      0.31000081244993133,
      0.3068063347193428,
      0.30364690462808663,
      0.3005220995602155,
      0.2974315036811183,
      0.2943747355700813,
      0.2913516203437607,
      0.28836203362253277,
      0.2854057680774516,
      0.2824825599231704,
      0.2795921072373164,
      0.276734082959024,
      0.2739081439750622,
      0.27111393758874947,
      0.268351105534777,
      0.26561928751508407,
      0.2629181233277623,
      0.2602472559625762,
      0.2576063782380606,
      0.2549952085783346,
      0.25241349326595497,
      0.24986104460030806,
      0.24733764655866988,
      0.24484305321539934,
      0.2423769916503677,
      0.23993916993906428,
      0.23752928419541952,
      0.23514698898076708,
      0.23279190232190125,
      0.23046365883625913,
      0.2281619099410949,
      0.22588632014313484,
      0.22363656451517594,
      0.22141232649771836,
      0.21921329656473976,
      0.21703917141853143,
      0.21488965321389994,
      0.21276444908945097,
      0.21066327082605443,
      0.20858583435163167,
      0.20653185972677152,
      0.20450107075867843,
      0.2024931950948016,
      0.20050796404587767,
      0.19854511243101192,
      0.19660437865977531,
      0.1946854690060378,
      0.19278807015766605,
      0.1909118899123743,
      0.18905665265606433,
      0.1872220951967947,
      0.18540796415666147,
      0.18361401393110738,
      0.18184000518386567,
      0.18008570389619769,
      0.1783508804967212,
      0.17663530933605395,
      0.17493876840181036,
      0.17326103907034898,
      0.17160190577919524,
      0.16996115587378008,
      0.16833857947541586,
      0.16673396951612743,
      0.16514712152717276,
      0.1635778335495853,
      0.16202592894660775,
      0.16049137951777975,
      0.15897418567706217,
      0.15747428630277216,
      0.1559915781460785,
      0.154525928968169,
      0.1530771869063917,
      0.15164518711055575,
      0.15022975619609852,
      0.14883071560659383,
      0.14744788382877005,
      0.14608107794556197,
      0.14473011558220814,
      0.1433948238431476,
      0.14207503418997924,
      0.14077057514607025,
      0.13948127383622877,
      0.13820695694014826,
      0.13694745155368246,
      0.1357025856876988,
      0.13447218859103494,
      0.13325609094336205,
      0.132054125128765,
      0.13086612533013878,
      0.12969192750216707,
      0.12853136949634325,
      0.12738429099512963,
      0.12625053357922486,
      0.12512994071217123,
      0.12402235773771758,
      0.1229276317878928,
      0.12184561193268154,
      0.12077614901805993,
      0.11971909562470283,
      0.11867430612794963,
      0.11764163664928969,
      0.11662094513489027,
      0.11561209124328525,
      0.11461493625140699,
      0.11362934311925926,
      0.11265517641383721,
      0.11169230238504584,
      0.11074057361698089,
      0.1097997900520043,
      0.10886976014266837,
      0.10795031421286332,
      0.10704129834789851,
      0.10614257027981902,
      0.10525399639215159,
      0.10437541180241391,
      0.10350662556234067,
      0.10264746930920428,
      0.10179779388140195,
      0.10095746423305722,
      0.10012635557343996,
      0.09930435072882653,
      0.09849133841797635,
      0.09768721172799714,
      0.09689185339556403,
      0.09610510373514065,
      0.0953268121243079,
      0.094556846027239,
      0.09379508617401933,
      0.09304142327347632,
      0.09229575532414554,
      0.09155798580578017,
      0.090828022457922,
      0.0901057763293254,
      0.08939116111985707,
      0.08868409264700014,
      0.08798448853666588,
      0.08729226785066042,
      0.086607350942461,
      0.08592967177367747,
      0.08525919815826422,
      0.08459589254179387,
      0.08393970616746207,
      0.08329058518753081,
      0.08264847220784297,
      0.08201330487881435,
      0.08138501741267294,
      0.0807635418862565,
      0.08014880910930636,
      0.0795407491791738,
      0.07893929174301514,
      0.07834436667505201,
      0.07775590397191176,
      0.07717383404915291,
      0.07659808780392968,
      0.07602859668580746,
      0.07546529273776907,
      0.07490810869664712,
      0.07435697795298024,
      0.07381183460589319,
      0.073272613341799,
      0.07273924972641627,
      0.07221167989201953,
      0.07168984065638818,
      0.07117366954902304,
      0.07066310480814791,
      0.07015808525618515,
      0.06965855044489194,
      0.06916444059632121,
      0.06867569657499024,
      0.0681922599324008,
      0.06771407284612466,
      0.06724107811848071,
      0.06677321917118116,
      0.06631044003277753,
      0.06585268537295087,
      0.06539990046617988,
      0.06495203121802089,
      0.06450902412373932,
      0.06407082624533832,
      0.06363738520324504,
      0.06320864922756206,
      0.06278456701733864,
      0.062365087961392396,
      0.06195016195759971,
      0.06153973940904393,
      0.061133771324039965,
      0.060732184231248355,
      0.06033488536059931,
      0.059941794520589495,
      0.059552842357728404,
      0.05916796731002827,
      0.05878711356412825,
      0.058410229683771304,
      0.05803726733766284,
      0.05766818076490603,
      0.05730292612287484,
      0.05694146093192256,
      0.056583743954615885,
      0.056229734904810924,
      0.05587939432258128,
      0.05553268336345581,
      0.05518956380609378,
      0.05484999806587514,
      0.054513948978246844,
      0.0541813798387773,
      0.05385225435536798,
      0.05352653675189159,
      0.05320419161596017,
      0.0528851838691858,
      0.05256947886579352,
      0.05225704232119242,
      0.05194784031820258,
      0.05164183931491518,
      0.051339006048762736,
      0.05103930766451472,
      0.050742711649702364,
      0.05044918582556397,
      0.05015869837412695,
      0.049871217774566955,
      0.04958671278832298,
      0.04930515262984286,
      0.04902650671920103,
      0.04875074484268157,
      0.04847783717157814,
      0.04820775407581301,
      0.04794045458117973,
      0.047675879862570006,
      0.04741397698505184,
      0.04715470075128405,
      0.04689801143542595,
      0.04664387354999851,
      0.046392254708534676,
      0.046143124796328525,
      0.04589645544576664,
      0.045652219578775334,
      0.04541039127254454,
      0.045170945362386146,
      0.0449338572831088,
      0.04469910310982326,
      0.044466659235343986,
      0.04423650248794389,
      0.044008610053544825,
      0.0437829594056633,
      0.043559528338128525,
      0.04333829485937082,
      0.043119237211354376,
      0.04290233395307368,
      0.042687563851242484,
      0.04247490586737614,
      0.042264339212264766,
      0.04205584324875058,
      0.04184939759235852,
      0.041644982025170744,
      0.04144257657271205,
      0.04124216140030565,
      0.04104371691369189,
      0.040847223768171445,
      0.04065266267209586,
      0.04046001464858448,
      0.04026926094859241,
      0.04008038283117329,
      0.03989336182103345,
      0.03970817968072917,
      0.03952481831065882,
      0.03934325978322227,
      0.03916348639044756,
      0.0389854804568406
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786392720484773,
      10.570672207474129,
      10.346545979772792,
      10.116553051867331,
      9.882978695469877,
      9.64782968748847,
      9.412876867249523,
      9.179653058851445,
      8.949479345063866,
      8.723449031988231,
      8.502418036161805,
      8.286999049445239,
      8.077568045965835,
      7.874282203883906,
      7.677106715374746,
      7.485847653183678,
      7.300184249399707,
      7.119701747903433,
      6.9439227687179645,
      6.772335482949632,
      6.604418076658736,
      6.439659413407379,
      6.2775760914671785,
      6.117726240312633,
      5.95972045777166,
      5.803226873575416,
      5.647971425330342,
      5.493745275903097,
      5.3404125929064055,
      5.187906366990808,
      5.0362259210729095,
      4.88544528316339,
      4.7357012713914886,
      4.587185759185537,
      4.440151397186979,
      4.294903732034965,
      4.151790381976528,
      4.011189050476604,
      3.873493896609044,
      3.73910300582025,
      3.6084150803299666,
      3.4818149014440003,
      3.359652127933593,
      3.242232615412446,
      3.129812812698581,
      3.0225963862295058,
      2.9207333204283037,
      2.8243220730819445,
      2.733406601378475,
      2.647972362250513,
      2.5679612839953445,
      2.4932760084725825,
      2.4237675352362977,
      2.3592230364689266,
      2.2993776071657432,
      2.243929212021309,
      2.1925403217853856,
      2.144835822193275,
      2.100407594015762,
      2.058851643749886,
      2.0198021589546937,
      1.98288961488775,
      1.9477904607034622,
      1.9142514744499413,
      1.8820736775417626,
      1.8510974324819822,
      1.82119490924741,
      1.7922581562778326,
      1.764196746286012,
      1.7369386723094855,
      1.7104229115129086,
      1.684599118281213,
      1.6594252427734024,
      1.634865498600072,
      1.610888878886433,
      1.587468032048784,
      1.564578213302661,
      1.5421968970898734,
      1.520303540113124,
      1.4988792279857062,
      1.4779063340780152,
      1.457367958654444,
      1.4372481623102709,
      1.4175320954379358,
      1.3982058389426302,
      1.3792562834412214,
      1.360671362263407,
      1.3424401712467622,
      1.3245522096108695,
      1.3069972798858167,
      1.2897655121301057,
      1.27284737719347,
      1.2562336895140207,
      1.2399156047600206,
      1.223884613341635,
      1.208132531314083,
      1.1926514903339773,
      1.1774339576166273,
      1.1624730963247734,
      1.1477625012598454,
      1.133295869944303,
      1.1190678101824798,
      1.10507353420635,
      1.0913080258693348,
      1.0777661473072355,
      1.0644427301480925,
      1.0513326385863302,
      1.0384308115608591,
      1.0257322901353445,
      1.0132322359031634,
      1.0009259407829783,
      0.9888088323191438,
      0.9768764766084237,
      0.9651245774563217,
      0.9535489744274493,
      0.942145640005027,
      0.9309106759700727,
      0.9198403093586103,
      0.9089308880970828,
      0.8981788771256464,
      0.8875808536274159,
      0.8771335029809189,
      0.8668336146070796,
      0.8566780777976422,
      0.8466638779635691,
      0.836788092775249,
      0.8270478886290055,
      0.8174405173152298,
      0.8079633266465973,
      0.7986141942974918,
      0.7893912977993894,
      0.7802921528824702,
      0.7713139823817432,
      0.7624548213243388,
      0.7537129680543091,
      0.745086607192147,
      0.7365738611219931,
      0.7281728241301857,
      0.7198815865444389,
      0.7116982505556381,
      0.7036209415714744,
      0.6956478147667845,
      0.6877770603250302,
      0.6800069056951266,
      0.6723356168943514,
      0.6647614995631251,
      0.6572828985149181,
      0.649898197625637,
      0.6426058193876486,
      0.6354044171111968,
      0.6282934958240818,
      0.6212725698308786,
      0.6143408575126104,
      0.6074973819422389,
      0.6007410402009404,
      0.5940706512887616,
      0.58748498932072,
      0.5809828061593502,
      0.5745628470209309,
      0.5682238608408826,
      0.5619646073700416,
      0.5557838623298702,
      0.5496804199359648,
      0.5436530948664873,
      0.5377007234325658,
      0.5318221642162685,
      0.5260162979032977,
      0.5202820276389087,
      0.514618278591136,
      0.5090239975132752,
      0.5034981522588517,
      0.49803973160816334,
      0.4926477445203547,
      0.4873212196523389,
      0.4820592049182309,
      0.4768607670414944,
      0.47172499097437576,
      0.46665097944124656,
      0.4616378523280338,
      0.4566847465807571,
      0.4517908155469796,
      0.44695522852521824,
      0.44217717029426074,
      0.4374558409038188,
      0.43279045511781494,
      0.42818024194397997,
      0.4236244445808855,
      0.419122319716752,
      0.4146731375535239,
      0.41027618131172394,
      0.40593074680229685,
      0.40163614214213356,
      0.3973916875631894,
      0.39319671516406096,
      0.3890505684523044,
      0.38495260205947607,
      0.38090218165475154,
      0.37689868357558215,
      0.37294149448008257,
      0.36903001153157133,
      0.3651636416404369,
      0.361341801544011,
      0.3575639174282038,
      0.35382934422792317,
      0.3501372628068271,
      0.34648690724732273,
      0.3428775924776468,
      0.3393086923710608,
      0.33577962460735566,
      0.3322898396224116,
      0.3288388132515094,
      0.3254260411825045,
      0.3220510350731653,
      0.3187133197719144,
      0.31541243142985764,
      0.3121479159755413,
      0.30891932819017964,
      0.30572623094795165,
      0.30256819456792433,
      0.29944479631484255,
      0.2963556202253419,
      0.29330031807817847,
      0.29027876379700646,
      0.28729080729523043,
      0.2843362232084957,
      0.28141473494312186,
      0.2785260315213789,
      0.2756697793739863,
      0.2728456307771441,
      0.2700532295897773,
      0.267292215177601,
      0.26456222539145585,
      0.26186289857276623,
      0.2591938884680104,
      0.2565549041774207,
      0.2539456663035063,
      0.2513659671425964,
      0.2488156104403655,
      0.24629436252112116,
      0.2438019615158438,
      0.24133812183924597,
      0.23890254262603514,
      0.23649490745180307,
      0.23411484829914872,
      0.23176198345913074,
      0.22943595168005926,
      0.22713640729358736,
      0.2248630168322266,
      0.22261545649919676,
      0.22039341062216058,
      0.21819657035921677,
      0.21602463284429257,
      0.21387730052621245,
      0.21175428056004503,
      0.20965528464282546,
      0.20758002863111552,
      0.2055282324999927,
      0.20349962009556025,
      0.2014939189223895,
      0.19951086014317737,
      0.19755017846026324,
      0.19561160352436832,
      0.19369482743223151,
      0.19179954305723118,
      0.18992546331242846,
      0.18807231597582022,
      0.186239840376377,
      0.18442778481987726,
      0.18263590484696757,
      0.18086396184571304,
      0.17911172220479823,
      0.17737895671148354,
      0.17566544000107748,
      0.17397095018373673,
      0.1722952685830019,
      0.17063817956006894,
      0.1689994704869479,
      0.16737893147368596,
      0.16577635521821715,
      0.16419153717507112,
      0.1626243154303114,
      0.16107468586320076,
      0.15954263505221233,
      0.1580280915023331,
      0.15653094380790858,
      0.155051053333949,
      0.15358826294190925,
      0.1521424034354749,
      0.15071329770574154,
      0.14930076380738394,
      0.14790461704726557,
      0.1465246717236702,
      0.14516074663016001,
      0.1438126700130504,
      0.14248026870189953,
      0.14116336731874407,
      0.1398617895804597,
      0.1385753592527598,
      0.13730390069577783,
      0.1360472393469642,
      0.13480520204784047,
      0.1335776172918911,
      0.13236431535697382,
      0.13116512830964322,
      0.12997989007261918,
      0.12880843645345363,
      0.1276506052306474,
      0.12650623604240208,
      0.1253751704280956,
      0.12425725190778698,
      0.12315232588379961,
      0.1220602395744727,
      0.1209808419599881,
      0.11991398395711439,
      0.11885951828871195,
      0.11781729940386458,
      0.11678718362056868,
      0.11576902884190725,
      0.11476269471677601,
      0.11376804264754432,
      0.11278493561942195,
      0.11181323837889454,
      0.1108528171662394,
      0.10990349821223894,
      0.10896507694550271,
      0.10803737166429095,
      0.10712021966458156,
      0.10621347196543639,
      0.1053169897791739,
      0.10443063490476806,
      0.10355422760135001,
      0.10268758280684058,
      0.10183053911117251,
      0.1009829523298686,
      0.10014469090214616,
      0.09931563251433084,
      0.09849566187839355,
      0.09768466895088333,
      0.0968825477443272,
      0.09608917366721162,
      0.0953043865187488,
      0.09452803889042735,
      0.09376000061762994,
      0.09300015414621006,
      0.09224839137262891,
      0.09150461116293969,
      0.09076871763022212,
      0.0900406190110722,
      0.08932022669757403,
      0.08860745465058462,
      0.08790221885418234,
      0.08720444050397227,
      0.0865140744685534,
      0.0858310871317463,
      0.08515543170348722,
      0.08448705230617795,
      0.083825886757903,
      0.08317186856754323,
      0.08252493063610021,
      0.08188500650802917,
      0.08125202767355583,
      0.08062592406640243,
      0.08000662466934216,
      0.07939405804281267,
      0.07878815271480849,
      0.07818883737981502,
      0.07759604101544261,
      0.07700969322610549,
      0.0764297240607001,
      0.07585606412469788,
      0.07528864477061362,
      0.07472739793814928,
      0.07417225638464173,
      0.07362315353355753,
      0.07308002345613011,
      0.07254280094430726,
      0.07201142152274875,
      0.0714858214479019,
      0.07096593762051812,
      0.0704517075771412,
      0.06994306963645247,
      0.06943996279112258,
      0.06894232669118582,
      0.0684501016139665,
      0.06796322851277119,
      0.06748164899188973,
      0.06700530530920766,
      0.06653414033702529,
      0.06606809752528697,
      0.06560712103206282,
      0.06515115559293141,
      0.0647001465929723,
      0.06425404000447774,
      0.06381278233300541,
      0.06337632075670775,
      0.06294460304198515,
      0.06251757752213585,
      0.06209519293155328,
      0.061677398712520676,
      0.06126414484428362,
      0.06085538185853279,
      0.06045106080301103,
      0.06005111305456888,
      0.05965544679160563,
      0.05926398056847836,
      0.05887664402415481,
      0.05849337490509689,
      0.05811411695906881,
      0.057738818418793504,
      0.057367430868537156,
      0.056999908381367405,
      0.05663620695254098,
      0.05627628418188321,
      0.05592009874300623,
      0.05556761036877677,
      0.05521877962139782,
      0.05487356774200745,
      0.054531936576078306,
      0.054193848520345166,
      0.05385926649076466,
      0.05352815387665344,
      0.053200474449002534,
      0.052876192419592856,
      0.052555272435195276,
      0.05223767949071238,
      0.05192337899301102,
      0.05161233672784387,
      0.05130451887608401,
      0.050999891916726874,
      0.05069842267434969,
      0.05040007829141188,
      0.05010482639287087,
      0.049812634787898505,
      0.04952347171036754,
      0.049237305742338304,
      0.048954105831637236,
      0.04867384113871834,
      0.04839648112631003,
      0.04812199569781499,
      0.04785035499400909,
      0.04758152950215735,
      0.04731548997278725,
      0.04705220750571338,
      0.04679165339598222,
      0.0465337804989847,
      0.046278530939425924,
      0.04602585605576928,
      0.04577571392804316,
      0.04552806754449403,
      0.04528288359478032,
      0.04504013144915449,
      0.0447997825207325,
      0.04456180975928555,
      0.04432618730063926,
      0.044092890190744825,
      0.043861894253236125,
      0.043633175886794134,
      0.04340671192199716,
      0.043182479565801485,
      0.04296045652872871,
      0.04274062072461633,
      0.042522950343379204,
      0.04230742390877199,
      0.04209402024547856,
      0.04188271831661842,
      0.041673497361062746,
      0.041466336802655705,
      0.04126121635751908,
      0.04105811587822908,
      0.04085701542467446,
      0.04065789524954949,
      0.040460735864313736,
      0.04026551790253066,
      0.04007222219036259,
      0.03988082977341823,
      0.039691321906119036,
      0.039503680032523004,
      0.039317885720013955,
      0.03913392081948684,
      0.038951767254168636,
      0.038771407200336415,
      0.03859282301435326,
      0.03841599716989477
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786378887800854,
      10.570627597465412,
      10.346458192245533,
      10.116413301757195,
      9.882781576831917,
      9.647572027291316,
      9.41255749845811,
      9.179272257461518,
      8.949038392709783,
      8.722949730585741,
      8.501862384165875,
      8.28638902883358,
      8.076905453661986,
      7.873568530206562,
      7.676343068060116,
      7.485034725302901,
      7.299322338801872,
      7.118790801644364,
      6.942962448620573,
      6.771325249867829,
      6.603357288234643,
      6.438547427078297,
      6.276412371555056,
      6.116510465543403,
      5.958452627499996,
      5.801907147022585,
      5.646600452063147,
      5.492324506809505,
      5.338944138781382,
      5.186393210455541,
      5.034671853801107,
      4.883854839599503,
      4.734079494815556,
      4.585538315489726,
      4.438484627735278,
      4.293224554041554,
      4.150106162141391,
      4.009507454469918,
      3.8718230480380487,
      3.737451277775192,
      3.6067910283380384,
      3.4802266460120386,
      3.3581070759379106,
      3.2407373499079495,
      3.128373013407791,
      3.0212165668544384,
      2.919416647476262,
      2.823070800220639,
      2.732221833143862,
      2.64685429847384,
      2.566909438941551,
      2.4922889428672783,
      2.42284201151378,
      2.3583542743604475,
      2.298560014085963,
      2.2431566786681976,
      2.191806201458042,
      2.1441333831667144,
      2.099729716345086,
      2.058191890394615,
      2.01915450701534,
      1.982248306728047,
      1.947151070641387,
      1.9136106856198527,
      1.8814290702577428,
      1.8504472285130982,
      1.8205377688017679,
      1.791592968746272,
      1.7635226547687515,
      1.7362549995953673,
      1.7097292318226684,
      1.6838951760893877,
      1.6587109061131133,
      1.6341407241679906,
      1.6101536863696857,
      1.5867224448906503,
      1.5638222252417082,
      1.5414305526185168,
      1.519526919760071,
      1.4980924370058917,
      1.4771095269064436,
      1.4565613481787634,
      1.4364319430625037,
      1.4167064476766373,
      1.3973709319275822,
      1.378412277693025,
      1.3598184444777457,
      1.3415785271221832,
      1.3236820087375545,
      1.3061186790333448,
      1.2888786585177567,
      1.2719524103664743,
      1.2553307424334095,
      1.2390048050188287,
      1.2229660842000805,
      1.207206392399366,
      1.1917178577486103,
      1.1764929755984685,
      1.1615249524019373,
      1.1468073572873019,
      1.1323338783987076,
      1.1180991695885798,
      1.1040984332475525,
      1.0903266262350153,
      1.076778590167139,
      1.0634491423040682,
      1.0503331357109797,
      1.0374255008674558,
      1.0247212727849144,
      1.012215608083325,
      0.9999037949849604,
      0.9877812584583664,
      0.9758435621246241,
      0.964086407970419,
      0.952505633784721,
      0.9410972105189168,
      0.929857238662363,
      0.9187819441456677,
      0.9078676740240034,
      0.8971108919353397,
      0.8865081742418837,
      0.8760562054184698,
      0.8657517737944188,
      0.8555917677837247,
      0.8455731722309937,
      0.8356930639878325,
      0.8259486088325826,
      0.8163370578290088,
      0.806855886021425,
      0.797503156828169,
      0.7882769214235081,
      0.779174583038859,
      0.7701934686991913,
      0.761331728350903,
      0.7525875647198608,
      0.743959095575483,
      0.7354443960108552,
      0.7270415273861567,
      0.718748556767055,
      0.7105635700046795,
      0.7024846808999928,
      0.6945100367734092,
      0.6866378218956967,
      0.6788662592879589,
      0.6711936120050824,
      0.6636181835125159,
      0.6561383171467918,
      0.6487523955355249,
      0.6414588400386556,
      0.6342565853343867,
      0.6271452450629224,
      0.6201242085242553,
      0.6131926074105679,
      0.606349404663927,
      0.5995934552822674,
      0.5929235488782019,
      0.5863384391121041,
      0.5798368635056003,
      0.5734175572904566,
      0.567079262461933,
      0.5608207339296647,
      0.5546407437589198,
      0.5485380838021414,
      0.542511567193879,
      0.5365600289240323,
      0.5306823265403589,
      0.524877340250455,
      0.5191439724552643,
      0.5134811478879154,
      0.507887812990107,
      0.5023629354448141,
      0.4969055036655881,
      0.49151452632042314,
      0.4861890319456301,
      0.4809280681937884,
      0.4757307015060613,
      0.4705960166777693,
      0.46552311626852594,
      0.4605111198836543,
      0.4555591641935929,
      0.45066640226950405,
      0.4458320031517471,
      0.4410551513480619,
      0.43633504666918854,
      0.4316709037174289,
      0.42706195125835567,
      0.4225074321624567,
      0.41800660300360465,
      0.4135587336966062,
      0.4091631071243002,
      0.404819018678358,
      0.40052577640151726,
      0.396282700360259,
      0.39208912223923265,
      0.3879443852342711,
      0.38384784376254616,
      0.3797988631684383,
      0.3757968196034366,
      0.37184109959860123,
      0.36793109991388917,
      0.36406622728447235,
      0.36024589803850104,
      0.35646953827383854,
      0.35273642059543703,
      0.34904571548466656,
      0.3453966855714663,
      0.34178866582796,
      0.33822104429446076,
      0.33469324841437864,
      0.33120473546727247,
      0.32775498590829827,
      0.32434349861203854,
      0.32096978726602227,
      0.317633378144001,
      0.3143338083349741,
      0.3110706244356647,
      0.30784338147340906,
      0.3046516422466342,
      0.3014949770946555,
      0.298372963370792,
      0.2952851848853065,
      0.29223135459453975,
      0.28921135820992355,
      0.2862250226669958,
      0.2832721063468079,
      0.2803523211657405,
      0.27746534809151235,
      0.2746108476570082,
      0.2717884679030962,
      0.2689978496021033,
      0.26623862995246655,
      0.26351044517786293,
      0.26081293246201664,
      0.25814576472593814,
      0.25550865625059377,
      0.25290136140401526,
      0.2503236940901779,
      0.24777543511716985,
      0.24525633487203768,
      0.2427661166038158,
      0.2403044841640583,
      0.23787112928192372,
      0.23546571758431228,
      0.23308786368877815,
      0.23073719131084758,
      0.22841334306417888,
      0.22611597585683832,
      0.2238447579242595,
      0.22159936673708125,
      0.21937948733090146,
      0.21718481138294496,
      0.21501503633239896,
      0.21286986474533032,
      0.21074900381961995,
      0.20865216521968452,
      0.20657906490931816,
      0.2045294227409676,
      0.20250296232111423,
      0.2004994111522403,
      0.19851850024976275,
      0.19655996414931257,
      0.19462351850036116,
      0.19270884775715014,
      0.1908156512165246,
      0.1889436462866979,
      0.18709256404276403,
      0.18526214596246995,
      0.18345214194478654,
      0.18166230854762408,
      0.17989240795995745,
      0.17814220700464634,
      0.17641147666441942,
      0.17469999172243958,
      0.17300753029965252,
      0.17133387380914453,
      0.16967880664007184,
      0.16804211601585883,
      0.16642359198093717,
      0.1648230272625271,
      0.16324028175577346,
      0.1616753629922272,
      0.16012824536184017,
      0.15859884805696856,
      0.15708705233387035,
      0.15559271363940863,
      0.15411566998499535,
      0.15265574791697306,
      0.15121276669148564,
      0.1497865410517662,
      0.14837688345164568,
      0.14698360598190052,
      0.14560653025047937,
      0.14424548203941556,
      0.14290028404893565,
      0.1415707571509654,
      0.14025672181209353,
      0.13895799885147359,
      0.13767441005878173,
      0.13640577838171053,
      0.13515192828224307,
      0.13391268606543733,
      0.13268787980054933,
      0.13147733938144063,
      0.130280896643293,
      0.1290983854862245,
      0.12792964162992876,
      0.1267745028390083,
      0.12563280873498306,
      0.12450440095178304,
      0.12338912303720453,
      0.12228682037979738,
      0.12119734028202439,
      0.12012053187442075,
      0.11905624605510286,
      0.11800433562621145,
      0.1169646550868736,
      0.115937060661051,
      0.11492141038213326,
      0.1139175640186389,
      0.1129253830375227,
      0.11194473050973867,
      0.11097547123788502,
      0.11001746051534543,
      0.10907050267967223,
      0.10813440118261787,
      0.10720898241767725,
      0.1062940893590038,
      0.10538957709706054,
      0.10449530974425766,
      0.10361113892941676,
      0.10273687413955027,
      0.10187233886592417,
      0.10101737787005624,
      0.10017185133675172,
      0.09933563084886327,
      0.09850859635357745,
      0.09769063418477553,
      0.09688163542799799,
      0.0960814950033832,
      0.09529008107102277,
      0.09450723278656539,
      0.0937328058799912,
      0.09296667245841886,
      0.09220871661036924,
      0.0914588313476897,
      0.09071691636398521,
      0.08998287649335687,
      0.08925662041120518,
      0.08853805983349955,
      0.08782712870160929,
      0.08712379141139834,
      0.08642800415438592,
      0.08573971239218853,
      0.08505885409057592,
      0.08438536226893849,
      0.08371916655071428,
      0.08306019447169781,
      0.08240837228992798,
      0.08176362711960203,
      0.08112588874470662,
      0.08049508634059539,
      0.07987114806897845,
      0.07925400169875044,
      0.07864357496431508,
      0.07803979578373132,
      0.07744259249007725,
      0.0768518938799004,
      0.07626762928251124,
      0.07568972871377846,
      0.07511812282240429,
      0.07455274288985005,
      0.07399352097224908,
      0.07344038979717188,
      0.0728932828347482,
      0.07235213419981738,
      0.07181687872811247,
      0.0712874520425585,
      0.0707637905206792,
      0.0702458310741029,
      0.06973351136261112,
      0.06922676979461201,
      0.06872554544154483,
      0.06822977794840843,
      0.06773940774529583,
      0.06725437583584305,
      0.06677462389941788,
      0.0663000942369967,
      0.06583072987199588,
      0.0653664743865599,
      0.06490727204006998,
      0.0644530676675106,
      0.064003806662663,
      0.06355943501427244,
      0.06311989932550119,
      0.06268514688662938,
      0.062255125470361924,
      0.06182978337082733,
      0.0614090695971704,
      0.060992933662696945,
      0.06058132565601242,
      0.060174196142323076,
      0.05977149624506303,
      0.05937316207993807,
      0.05897910282065649,
      0.05858923570349829,
      0.05820348941417878,
      0.05782180103681521,
      0.057444113951665696,
      0.057070376088173586,
      0.05670053877450519,
      0.056334555981968154,
      0.05597238365612203,
      0.055613979265347425,
      0.05525930153358905,
      0.05490831023512894,
      0.05456096593617496,
      0.05421722984755663,
      0.0538770639537082,
      0.05354043066101033,
      0.05320729289946167,
      0.052877614067169204,
      0.052551358059595016,
      0.05222848912244088,
      0.051908972049518595,
      0.05159277196912344,
      0.05127985423996258,
      0.050970184691302343,
      0.050663729521695476,
      0.05036045532599743,
      0.05006032898426044,
      0.04976331774900639,
      0.04946938916803956,
      0.04917851126336255,
      0.0488906522791613,
      0.04860578091422581,
      0.04832386599595416,
      0.04804487680433674,
      0.047768782900872664,
      0.04749555420074214,
      0.04722516096348959,
      0.046957573727641956,
      0.04669276334221756,
      0.04643070090359407,
      0.04617135794172967,
      0.045914706156236225,
      0.04566071758572102,
      0.04540936198733445,
      0.04516059007846485,
      0.04491434771914285,
      0.04467058920950743,
      0.04442927496019827,
      0.04419036990657626,
      0.043953842315862544,
      0.0437196629126172,
      0.04348780428712975,
      0.04325824055321385,
      0.04303094682711153,
      0.042805899085650995,
      0.042583073913372835,
      0.04236244850020415,
      0.04214400050766984,
      0.041927708026021256,
      0.04171354946961367,
      0.04150150350517811,
      0.04129154910829013,
      0.04108366558308511,
      0.04087783227761259,
      0.04067402893263413,
      0.040472235474974305,
      0.04027243199641194,
      0.04007459884745843,
      0.03987871654148753,
      0.03968476580888191,
      0.03949272760744099,
      0.03930258302250451,
      0.039114313412492406,
      0.03892790022770598,
      0.03874332517634945,
      0.0385605701115826,
      0.03837961706869351,
      0.038200448258342776,
      0.038023046003366,
      0.03784739286667879
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.78636500304714,
      10.570583077818949,
      10.346370807202582,
      10.116274407339517,
      9.882585823909853,
      9.64731631653106,
      9.41224071166283,
      9.1788946598718,
      8.948601293379962,
      8.722454948100134,
      8.501311926876156,
      8.285784884239392,
      8.076249422064736,
      7.872862103978322,
      7.675587354798785,
      7.48423041965788,
      7.298469742847755,
      7.117889866457604,
      6.942012842325841,
      6.77032644264787,
      6.602308646330787,
      6.437448317648518,
      6.275262269105135,
      6.115309059265707,
      5.957199925043411,
      5.800603312525004,
      5.645246137152152,
      5.490921159409285,
      5.3374938610724145,
      5.184898972264353,
      5.033137427151061,
      4.882284729075439,
      4.732478705621687,
      4.583912464933446,
      4.436839998753856,
      4.291567995658641,
      4.148444962641205,
      4.007849193515882,
      3.870175617301049,
      3.73582296559651,
      3.6051902991092897,
      3.4786615282302544,
      3.356584886718295,
      3.2392645870280816,
      3.126955276334783,
      3.0198582868241886,
      2.918120932242752,
      2.8218398524586963,
      2.7310567172441,
      2.6457551840262594,
      2.565875818325451,
      2.491319365583273,
      2.4219332440379113,
      2.357501532997896,
      2.2977576262917494,
      2.242398591587866,
      2.1910857961059453,
      2.1434438837898115,
      2.099064031042562,
      2.057543697907931,
      2.0185178931852636,
      1.981617618251678,
      1.9465219629250248,
      1.912979903785477,
      1.880794243312393,
      1.8498066168347538,
      1.8198900282078725,
      1.790937000865847,
      1.7628576360284496,
      1.7355802763267634,
      1.7090443970697102,
      1.6831999889303246,
      1.658005245169964,
      1.6334245538396253,
      1.60942703234296,
      1.5859853083747089,
      1.5630746117835892,
      1.5406725163671096,
      1.5187585482111186,
      1.497313840276514,
      1.476320863284309,
      1.4557628343393447,
      1.435623776426835,
      1.4158888110850176,
      1.396543996998033,
      1.3775762065042823,
      1.3589734248229612,
      1.3407247460329024,
      1.3228196363906493,
      1.3052478730412798,
      1.2879995665739057,
      1.2710651721069937,
      1.2544354912758526,
      1.238101669110629,
      1.2220551873391634,
      1.2062878549759073,
      1.1907917965873944,
      1.1755595352008417,
      1.1605843205979014,
      1.145859696770465,
      1.1313793654417177,
      1.1171380156779696,
      1.1031308166400184,
      1.0893527004183496,
      1.0757984911271867,
      1.0624629925727005,
      1.0493410479962848,
      1.036427580810556,
      1.023717620643321,
      1.0112063199012506,
      0.9988889634548855,
      0.986760973423221,
      0.9748179111283639,
      0.9630554762455203,
      0.9514695052031757,
      0.9400559678286666,
      0.9288109631618199,
      0.9177307158638403,
      0.9068115719478731,
      0.8960499941327964,
      0.8854425576244062,
      0.8749859460088925,
      0.8646769471434079,
      0.8545124485691411,
      0.8444894341073809,
      0.8346049798887357,
      0.8248562508615522,
      0.8152404973494545,
      0.8057554307807056,
      0.7963991561924333,
      0.7871696074099088,
      0.7780640840768174,
      0.7690801051602736,
      0.7602158320488734,
      0.7514693822113547,
      0.7428388136647767,
      0.7343221593058358,
      0.7259174504941369,
      0.7176227332480918,
      0.7094360787162128,
      0.7013555901820195,
      0.6933794075284399,
      0.6855057097500411,
      0.6777327160948649,
      0.6700586868969959,
      0.6624819235060769,
      0.655000767912524,
      0.6476136016221242,
      0.6403188830308599,
      0.6331158626256105,
      0.6260041541859737,
      0.6189830335965316,
      0.6120515533643538,
      0.6052086211039922,
      0.598453053450455,
      0.5917836133022788,
      0.5851990353987365,
      0.5786980443360215,
      0.5722793662052994,
      0.5659417365407676,
      0.5596839060353056,
      0.5535046435896828,
      0.5474027387231836,
      0.5413770028498874,
      0.5354262698390775,
      0.5295493966048956,
      0.5237452625888385,
      0.5180127698434291,
      0.512350842476031,
      0.506758426602192,
      0.5012344895906934,
      0.49577801957049755,
      0.49038802507538026,
      0.48506353419314424,
      0.47980359446742665,
      0.4746072721569043,
      0.46947365171818994,
      0.46440183548916547,
      0.4593909430407402,
      0.4544401107836441,
      0.44954849142509506,
      0.44471525381101373,
      0.4399395822912139,
      0.4352206763715751,
      0.43055775024771215,
      0.4259500325777033,
      0.421396765986412,
      0.4168972067855537,
      0.4124506245807814,
      0.4080563020970894,
      0.4037135345620034,
      0.3994216295890496,
      0.3951799068499652,
      0.39098769779101045,
      0.38684434539439566,
      0.3827492039346636,
      0.37870163850221766,
      0.37470102482815004,
      0.3707467492583627,
      0.3668382082175819,
      0.3629748081291548,
      0.35915596507916453,
      0.3553810691055088,
      0.35164932762437623,
      0.34795993712640577,
      0.3443121837265739,
      0.3407054186950566,
      0.3371390415294194,
      0.3336124875877789,
      0.33012521956570184,
      0.3266767218074133,
      0.3232664957136945,
      0.3198940566894242,
      0.31655893208597147,
      0.31326065962291716,
      0.3099987862969136,
      0.3067728674182943,
      0.3035824660014993,
      0.30042715211352744,
      0.29730650285327903,
      0.2942201019565764,
      0.2911677261397416,
      0.28814926898960824,
      0.2851645349891607,
      0.28221326660754054,
      0.279295164382733,
      0.27640990110870817,
      0.27355713164278156,
      0.2707364998585982,
      0.267947643623398,
      0.26519019783096265,
      0.26246379725828284,
      0.2597680824211846,
      0.2571027455005895,
      0.25446751284291225,
      0.25186218229209384,
      0.24928655532690402,
      0.24674039503521608,
      0.24422343620177864,
      0.24173538923217372,
      0.23927594900055738,
      0.23684480075321995,
      0.23444158487146163,
      0.23206591017319345,
      0.2297174053393695,
      0.2273957163071832,
      0.22510050239001173,
      0.22283143355993007,
      0.2205881883353108,
      0.21837045246955045,
      0.21617791809281592,
      0.21401028289665971,
      0.21186724954951344,
      0.20974852532813035,
      0.20765382193868623,
      0.2055828552599491,
      0.20353534496898,
      0.20151101460867832,
      0.19950959149937325,
      0.19753080648124471,
      0.19557439261046128,
      0.19364004822922354,
      0.191727456829301,
      0.18983632367765468,
      0.1879663702821221,
      0.18611733055971139,
      0.18428894810401397,
      0.18248097419838188,
      0.1806931663126214,
      0.17892528710323047,
      0.1771771039261584,
      0.17544838805873939,
      0.17373891432802818,
      0.17204846099117085,
      0.17037680947322306,
      0.16872374407610816,
      0.16708905187363382,
      0.16547252291382433,
      0.16387404329919286,
      0.16229362350210252,
      0.16073122701079529,
      0.15918676460586423,
      0.15766011085960385,
      0.15615111568513002,
      0.15465961245545604,
      0.15318542371582372,
      0.15172836512196022,
      0.1502882482811917,
      0.1488648826537373,
      0.1474580809597251,
      0.14606766587943545,
      0.14469345871467795,
      0.1433352780845976,
      0.1419929414887296,
      0.1406662663232237,
      0.13935507066004021,
      0.13805917356891442,
      0.13677839554357313,
      0.1355125589067425,
      0.13426148767982493,
      0.133025007623435,
      0.1318029465693891,
      0.13059513434624107,
      0.12940140273007564,
      0.1282215854400295,
      0.12705551829921677,
      0.12590303907184705,
      0.12476398747848874,
      0.12363820516091373,
      0.12252553561487346,
      0.1214258243137585,
      0.1203389186353551,
      0.11926466771881818,
      0.11820292254381626,
      0.11715353595247806,
      0.11611636256944811,
      0.11509125872177282,
      0.11407808249189659,
      0.11307669373859058,
      0.1120869539013879,
      0.11110872612209527,
      0.11014187528960119,
      0.10918623478736961,
      0.10824159931701567,
      0.10730778234889422,
      0.10638461740061543,
      0.10547195248084142,
      0.10456964626790063,
      0.10367756544877253,
      0.10279554402688858,
      0.10192339023519602,
      0.10106093533655156,
      0.10020802959551488,
      0.09936453712686362,
      0.09853033223529496,
      0.09770529691354093,
      0.09688931896816089,
      0.09608229056171631,
      0.09528410735696036,
      0.09449463034306681,
      0.0937136980283826,
      0.0929411691960421,
      0.09217691822309915,
      0.09142083090354323,
      0.0906728014092061,
      0.08993273022461104,
      0.08920052744052342,
      0.08847614125092974,
      0.08775953092797736,
      0.08705064337937925,
      0.08634941684181718,
      0.08565578371831224,
      0.08496967254025427,
      0.0842910092399661,
      0.08361971820938259,
      0.08295572293276121,
      0.08229894661555096,
      0.08164931243685172,
      0.08100674475835759,
      0.08037117169392027,
      0.07974252146152815,
      0.07912072166620032,
      0.07850569974373063,
      0.07789738321567986,
      0.07729569983045403,
      0.07670057786064068,
      0.07611194597310798,
      0.0755297334502251,
      0.0749538703657297,
      0.07438428740079216,
      0.07382091591396281,
      0.07326368795604007,
      0.0727125363195367,
      0.07216739447948317,
      0.07162819672765748,
      0.07109487805540003,
      0.07056737414745773,
      0.0700456213845035,
      0.06952955675284017,
      0.0690191180524853,
      0.06851424373593164,
      0.06801487295292458,
      0.06752094544218647,
      0.06703240169255972,
      0.06654918282686904,
      0.06607123061231557,
      0.06559848737183664,
      0.0651308962278149,
      0.06466840086262646,
      0.06421094550688952,
      0.06375847510813078,
      0.06331093511400215,
      0.06286827168038756,
      0.062430431503720345,
      0.06199736183992258,
      0.061569010687823396,
      0.061145326443839985,
      0.060726258083327454,
      0.060311755207248276,
      0.0599017679003514,
      0.05949624684263177,
      0.05909514331792205,
      0.058698398279271806,
      0.05830592175363792,
      0.05791762958793978,
      0.057533449650427344,
      0.05715331836607065,
      0.05677717858636103,
      0.056404977957799335,
      0.05603666763373358,
      0.05567220136842911,
      0.055311535108185546,
      0.05495462629500872,
      0.054601433646829844,
      0.054251916920576286,
      0.05390603668530145,
      0.0535637542609306,
      0.05322503159627241,
      0.052889831225644765,
      0.05255811607852016,
      0.052229849665762586,
      0.05190499592146421,
      0.05158351918028989,
      0.05126538413356671,
      0.05095055598769801,
      0.05063900028384386,
      0.050330682862273324,
      0.0500255699325869,
      0.04972362820588374,
      0.049424824567816744,
      0.04912912634382941,
      0.048836501302033666,
      0.04854691738751921,
      0.04826034292170743,
      0.047976746580351434,
      0.047696097389218615,
      0.04741836463164781,
      0.0471435179036328,
      0.04687152725909767,
      0.046602362908454605,
      0.04633599547770478,
      0.046072395855446806,
      0.04581153521285973,
      0.04555338499605415,
      0.0452979170085313,
      0.04504510342192115,
      0.044794916654495184,
      0.04454732933026854,
      0.04430231443914194,
      0.04405984183003967,
      0.04381986239617496,
      0.043582324498615856,
      0.04334718444196593,
      0.04311440441386195,
      0.04288395075015736,
      0.04265579300516676,
      0.04242990302798855,
      0.0422062544263821,
      0.04198482215500984,
      0.04176558222361562,
      0.04154851148550876,
      0.0413335873944622,
      0.04112078798968116,
      0.04091009166689241,
      0.04070147720831411,
      0.04049492365510335,
      0.04029041044182393,
      0.040087917277682364,
      0.03988742407671463,
      0.03968891093979242,
      0.03949235824842442,
      0.03929774656255017,
      0.03910505667181107,
      0.038914269577546505,
      0.03872536642481739,
      0.0385383285622828,
      0.03835313756782266,
      0.03816977519230375,
      0.037988223294473066,
      0.03780846404997711,
      0.03763047972244791,
      0.03745425282638799,
      0.03727976595690795
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786351092969005,
      10.570538692459278,
      10.346283877587789,
      10.116136419415932,
      9.882391505708272,
      9.64706263294854,
      9.411926591099098,
      9.178520398917428,
      8.948168220877205,
      8.72196489423443,
      8.500766903672586,
      8.28518688123676,
      8.075600237946666,
      7.872163227176315,
      7.674839890167494,
      7.4834350592384205,
      7.297626788464952,
      7.116999272005796,
      6.941074280788858,
      6.76933939033716,
      6.601272479240684,
      6.436362413217718,
      6.2741261124824685,
      6.114122349465706,
      5.955962677162464,
      5.799315696053181,
      5.643908806954616,
      5.489535562899474,
      5.3360620931329334,
      5.1834239889698,
      5.031622978486478,
      4.880735288679319,
      4.7308992389506574,
      4.582308541052591,
      4.435217841695037,
      4.289934385687673,
      4.146807110418951,
      4.006214593353102,
      3.8685520625547376,
      3.7342186451999364,
      3.603613570448584,
      3.477120313201392,
      3.3550863995188807,
      3.237815227691455,
      3.1255605534898816,
      3.018522374086017,
      2.916846886525531,
      2.820629833411017,
      2.72991175813432,
      2.644675433370631,
      2.564860755466797,
      2.49036745965789,
      2.4210412109606856,
      2.3566646336889105,
      2.2969702198792707,
      2.24165444895002,
      2.1903783691970053,
      2.1427664844901155,
      2.098409702651323,
      2.056906238515447,
      2.0178915001378424,
      1.9809967461773241,
      1.9459023504106188,
      1.9123583589399806,
      1.8801684440534885,
      1.8491748621522999,
      1.8192510050796282,
      1.7902896368665668,
      1.7622011256906178,
      1.7349139797428312,
      1.708367917815665,
      1.6825130937494408,
      1.6573078188680923,
      1.6327165658403644,
      1.6087085118631774,
      1.58525624815366,
      1.5623350230157897,
      1.539922457427212,
      1.517998110035856,
      1.4965431358202124,
      1.4755400291415661,
      1.454972077248878,
      1.4348233077086991,
      1.4150788235767007,
      1.3957246692114116,
      1.376747705922077,
      1.358135943189519,
      1.3398784727633384,
      1.3219647439910747,
      1.3043845209287104,
      1.2871279039638872,
      1.2701853398130731,
      1.2535476239436474,
      1.237205896155446,
      1.221151633347685,
      1.205376640230635,
      1.1898730380680793,
      1.1746333784260385,
      1.1596509538444424,
      1.1449192826504395,
      1.1304320804728651,
      1.116184071553998,
      1.1021703912193994,
      1.0883859471936013,
      1.0748255460252143,
      1.0614839785541275,
      1.0483560782711323,
      1.0354367611303992,
      1.0227210511295821,
      1.0102040963094632,
      0.9978811781299646,
      0.9857477159468052,
      0.9737992691156218,
      0.9620315354278753,
      0.9504403497123233,
      0.9390216801724709,
      0.927771624808166,
      0.9166864071095989,
      0.9057623719884892,
      0.894995981230239,
      0.8843838090687155,
      0.8739225384325251,
      0.8636089559158991,
      0.85343994835795,
      0.8434124986203138,
      0.8335236820189748,
      0.8237706628793742,
      0.8141507841679008,
      0.80466195907223,
      0.7953022268472636,
      0.7860694192092729,
      0.7769607888655486,
      0.7679740318845504,
      0.7591072799662325,
      0.7503585746718453,
      0.7417259207256182,
      0.733207313736822,
      0.7248007589704645,
      0.7165042838525527,
      0.7083159464250021,
      0.7002338406021598,
      0.6922560997626627,
      0.684380898065479,
      0.6766064515454399,
      0.6689310182168822,
      0.6613528976335911,
      0.6538704302723345,
      0.6464819967268416,
      0.6391862276500068,
      0.6319826242992379,
      0.6248706645127247,
      0.6178495307156192,
      0.6109182102669647,
      0.6040755653441097,
      0.5973203809084764,
      0.590651397823227,
      0.584067335556054,
      0.5775669078245564,
      0.5711488332506687,
      0.5648118422087631,
      0.5585546814991624,
      0.5523761173014381,
      0.5462749372121198,
      0.5402499513802559,
      0.5342999929545101,
      0.5284239179003428,
      0.5226206050827814,
      0.5168889561380171,
      0.5112278950111188,
      0.5056363674437652,
      0.5001133405428785,
      0.49465780207679155,
      0.48926876018887533,
      0.483945242946423,
      0.4786862975750385,
      0.4734909900929022,
      0.4683584046597707,
      0.46328764340666434,
      0.45827782573071774,
      0.4533280877940391,
      0.44843758222916696,
      0.44360547759422553,
      0.43883095793580296,
      0.43411322240976113,
      0.42945148491098695,
      0.4248449738403045,
      0.4202929316795721,
      0.41579461445274585,
      0.411349291556538,
      0.406956245326244,
      0.40261477076999197,
      0.398324175345467,
      0.3940837785766768,
      0.38989291156235323,
      0.3857509169105424,
      0.3816571485409522,
      0.37761097133074706,
      0.37361176078221014,
      0.3696589029674754,
      0.36575179401334534,
      0.36188984006770736,
      0.3580724570866049,
      0.35429897618080225,
      0.3505685646240291,
      0.34688044960115794,
      0.34323393868565444,
      0.33962839804709455,
      0.33606323753393086,
      0.3325378997028053,
      0.32905185227327605,
      0.32560458282342347,
      0.32219559503432255,
      0.3188244059870625,
      0.31549054399447746,
      0.3121935473422624,
      0.30893296326117947,
      0.3057083471531728,
      0.30251926209459196,
      0.29936527822111025,
      0.29624597238697925,
      0.2931609594676659,
      0.29011006503034714,
      0.28709315887569536,
      0.2841100274012128,
      0.28116040026930794,
      0.2782439690414157,
      0.27536040005755447,
      0.27250934350553363,
      0.26969043992227004,
      0.2669033245462757,
      0.2641476306826532,
      0.261422991622972,
      0.2587290585745559,
      0.25606553969369455,
      0.2534321965277155,
      0.25082884480207,
      0.24825526268197437,
      0.24571119775675215,
      0.24319636981018672,
      0.2407104787841697,
      0.23825321200732588,
      0.23582424101523525,
      0.23342318549800548,
      0.23104965742169475,
      0.22870328968530132,
      0.2263837310387508,
      0.22409064277189147,
      0.2218236960666415,
      0.21958257044773882,
      0.21736695225781794,
      0.21517653394015823,
      0.2130110133250857,
      0.21087009318468256,
      0.2087534808635976,
      0.206660887959457,
      0.20459203019149758,
      0.20254662725399794,
      0.20052440252644185,
      0.19852508317427442,
      0.19654839999170892,
      0.19459407655966102,
      0.19266179766053484,
      0.19075125378107077,
      0.1888621550483442,
      0.18699422635209628,
      0.1851472039068165,
      0.18332083287055015,
      0.18151486556676608,
      0.17972906020057372,
      0.17796318000093314,
      0.17621699254402284,
      0.1744902692935637,
      0.17278278515253084,
      0.17109431839434858,
      0.16942465036170687,
      0.1677735652634725,
      0.16614085026636144,
      0.16452641560517167,
      0.16293027436287186,
      0.16135237987694961,
      0.15979263490156606,
      0.15825090762634153,
      0.15672704273829052,
      0.1552208690707836,
      0.15373220535069532,
      0.15226086367209216,
      0.1508066524396834,
      0.1493693783480308,
      0.14794885678530723,
      0.14654490837366227,
      0.1451573499540647,
      0.14378599643232376,
      0.14243066204928231,
      0.1410911612266361,
      0.13976730930379502,
      0.13845892285682612,
      0.13716581993174456,
      0.13588782036445154,
      0.1346247458327252,
      0.13337642002215175,
      0.13214266858214022,
      0.13092331922170602,
      0.12971820175494186,
      0.12852714789877528,
      0.12734999139519942,
      0.1261865679872787,
      0.12503671549722364,
      0.12390027375284159,
      0.12277708436117794,
      0.12166699093376163,
      0.12056983894294612,
      0.11948547582677095,
      0.1184137508456397,
      0.11735451502165294,
      0.11630762121776374,
      0.11527292409576187,
      0.11425028006154106,
      0.11323954733716853,
      0.11224058575942024,
      0.11125325688275818,
      0.11027742396771649,
      0.10931294568691412,
      0.10835963181043176,
      0.10741728018707933,
      0.106485712881564,
      0.10556476937507263,
      0.10465430204330554,
      0.10375417273983573,
      0.10286424307746399,
      0.10198433271422397,
      0.1011142559450321,
      0.10025385045559872,
      0.09940297117266328,
      0.09856148559470847,
      0.09772927046235252,
      0.09690620950155385,
      0.09609219171479638,
      0.09528711011228673,
      0.09449085792834298,
      0.09370329035757291,
      0.0929242485415513,
      0.09215359387772477,
      0.09139120254228897,
      0.09063696158692566,
      0.08989078441573685,
      0.08915262234533142,
      0.08842242213569079,
      0.08770012122868118,
      0.08698565066564079,
      0.08627893722903784,
      0.08557990485506742,
      0.08488847570405793,
      0.08420457102031824,
      0.08352811154935003,
      0.08285901809286034,
      0.08219721158023158,
      0.08154261329311101,
      0.08089514510697324,
      0.08025473022776945,
      0.07962129565124124,
      0.0789947694492685,
      0.07837507910729599,
      0.07776215194510447,
      0.077155915498887,
      0.07655629753790047,
      0.07596322627292824,
      0.0753766305122546,
      0.07479643963848463,
      0.0742225837242793,
      0.0736549935170415,
      0.07309360040069443,
      0.07253833651566516,
      0.07198913477995524,
      0.07144592887488328,
      0.07090865305259242,
      0.07037724231755005,
      0.06985163236936062,
      0.06933175972310134,
      0.06881756158766827,
      0.06830897574062654,
      0.06780594074870572,
      0.06730839579969669,
      0.06681628075974273,
      0.06632953612488202,
      0.06584810307034902,
      0.06537192345167622,
      0.06490093978931336,
      0.06443509523343309,
      0.06397433341960394,
      0.06351859881352291,
      0.06306783640294167,
      0.06262199175803758,
      0.06218101109666811,
      0.06174484113937698,
      0.061313429284112674,
      0.06088672352599645,
      0.060464672350767676,
      0.060047224868583715,
      0.05963433067037348,
      0.05922593994368374,
      0.0588220035175147,
      0.05842247269344137,
      0.05802729157004715,
      0.05763637340269177,
      0.05724963259573914,
      0.05686699580676519,
      0.05648839875351041,
      0.056113783804083474,
      0.055743098203680494,
      0.05537629288647833,
      0.05501332148626125,
      0.05465413981880048,
      0.054298705239159306,
      0.0539469764787099,
      0.05359891328102934,
      0.053254476244916645,
      0.05291362674746008,
      0.052576326739287076,
      0.05224253879696021,
      0.051912225910230765,
      0.05158535159540504,
      0.05126187990896797,
      0.050941775256683725,
      0.05062500245201462,
      0.0503115266361264,
      0.05000131335505349,
      0.04969432860359034,
      0.04939053872110563,
      0.049089910355822414,
      0.04879241056038032,
      0.048498006762077495,
      0.04820666660698334,
      0.04791835815500971,
      0.047633049755240256,
      0.04735071019279194,
      0.04707130848419102,
      0.04679481404913966,
      0.04652119654646414,
      0.04625042602931319,
      0.04598247283771678,
      0.04571730763221612,
      0.04545490132064197,
      0.045195225211703764,
      0.04493825083926871,
      0.044683950096164056,
      0.04443229500963052,
      0.04418325812221451,
      0.04393681210100153,
      0.04369292994277101,
      0.043451584982947496,
      0.043212750775367625,
      0.04297640113536206,
      0.04274250738623053,
      0.042511022837237844,
      0.042281897364879875,
      0.04205508852468259,
      0.041830559501675454,
      0.041608277738983894,
      0.04138821362426705,
      0.04117033990007185,
      0.04095463106108884,
      0.04074106293018408,
      0.0405296122456353,
      0.04032025650991332,
      0.04011297390802573,
      0.039907743241285425,
      0.03970454358041956,
      0.03950335436498937,
      0.03930415537069399,
      0.03910692670973287,
      0.03891164872761398,
      0.03871830205659945,
      0.038526867517738234,
      0.038337326026755415,
      0.038149658910565834,
      0.03796384748419063,
      0.03777987337224657,
      0.03759771841785757,
      0.03741736465931178,
      0.03723879425020904,
      0.03706198952959677,
      0.03688693297509347,
      0.03671360730924101
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786337310245129,
      10.570494731850786,
      10.346197816215598,
      10.11599985830425,
      9.882199254639234,
      9.646811711603675,
      9.411615959480555,
      9.178150368381788,
      8.947740126885646,
      8.721480567276936,
      8.500228352272082,
      8.284596084948602,
      8.074958984484637,
      7.871472996466649,
      7.674101781179718,
      7.482649760623119,
      7.296794600992381,
      7.1161201526363795,
      6.940147907711433,
      6.7683652484701495,
      6.6002499556020595,
      6.435290898070053,
      6.273005103410129,
      6.112951556607261,
      5.954742124717026,
      5.7980455590726505,
      5.642589743124784,
      5.488169017347311,
      5.334650151060909,
      5.181969592609481,
      5.030129856326737,
      4.879207881726631,
      4.729342472821033,
      4.580727934433256,
      4.43361955685627,
      4.288325130075844,
      4.145194012364134,
      4.004605056430999,
      3.8669537822530198,
      3.7326397055130167,
      3.6020622171775964,
      3.4756043569103157,
      3.3536129459065234,
      3.2363905748610726,
      3.124190116032008,
      3.0172102433684413,
      2.915596048901273,
      2.819442397245313,
      2.7287887079186435,
      2.6436168791218706,
      2.5638661474282864,
      2.489435164416839,
      2.4201678753618614,
      2.3558455530479363,
      2.2961997981773092,
      2.240926502001034,
      2.189686417791325,
      2.142103809149691,
      2.097769422237937,
      2.0562822440748474,
      2.0172779712866964,
      1.980388227622581,
      1.9452946789872934,
      1.9117484180859716,
      1.8795539706232347,
      1.8485542009856675,
      1.8186228798018367,
      1.789653006386641,
      1.7615552072524765,
      1.7342581507478911,
      1.7077017955065144,
      1.6818364554435963,
      1.656620557462092,
      1.6320186571832425,
      1.6079999680192514,
      1.5845370548687836,
      1.5616052059028804,
      1.5391820856273963,
      1.5172472830914812,
      1.4957819735568318,
      1.4747686647171527,
      1.454190717004168,
      1.4340321711725168,
      1.4142781100028534,
      1.3949145622232808,
      1.3759283769414323,
      1.3573075868102886,
      1.3390412806508658,
      1.3211188904879423,
      1.3035301670610095,
      1.2862652000578048,
      1.269314428244348,
      1.2526686402374427,
      1.2363189702646762,
      1.2202568908025537,
      1.204474202801609,
      1.1889630241438396,
      1.1737159539236617,
      1.1587263012630291,
      1.1439875608695256,
      1.1294934634392915,
      1.1152387684681315,
      1.101218578729443,
      1.0874277783939441,
      1.073861156431356,
      1.0605134906394345,
      1.0473796052304005,
      1.0344544089580026,
      1.021732920285617,
      1.0092102831273608,
      0.9968817755596484,
      0.9847428144481165,
      0.972788956735809,
      0.9610158986400885,
      0.949419473030831,
      0.9379956466813046,
      0.9267405164327879,
      0.9156503046319973,
      0.9047213549069064,
      0.8939501280734816,
      0.8833331975039918,
      0.8728672448611443,
      0.8625490561842817,
      0.8523755172948141,
      0.8423436104352907,
      0.8324504101377809,
      0.8226930798762726,
      0.8130691526217266,
      0.8035766430423397,
      0.7942134969174635,
      0.7849774537629445,
      0.7758657927274587,
      0.7668763594493806,
      0.7580071915288167,
      0.7492562666153276,
      0.7406215445738996,
      0.7321009892048153,
      0.7236925834877398,
      0.71539433896704,
      0.707204302781929,
      0.6991205610542369,
      0.6911412412554263,
      0.6832645136768521,
      0.6754885915405313,
      0.6678117307313322,
      0.6602322291654875,
      0.6527484260611143,
      0.6453587011978741,
      0.6380619778832003,
      0.6308578481885823,
      0.623745667184395,
      0.6167245316788547,
      0.6097933697064821,
      0.6029510020577787,
      0.5961961848441535,
      0.5895276387031118,
      0.5829440689874604,
      0.5764441796035144,
      0.5700266821002684,
      0.5636903021565284,
      0.557433783239392,
      0.5512558893359004,
      0.5451554063402558,
      0.5391311430491317,
      0.5331819315720977,
      0.5273066271887755,
      0.5215041082191455,
      0.5157732759120142,
      0.5101130537967224,
      0.5045223872648251,
      0.4990002431819639,
      0.49354560915186996,
      0.4881574931214885,
      0.48283492289778246,
      0.4775769454518645,
      0.47238262654664204,
      0.46725105020688545,
      0.46218131828820225,
      0.457172549918486,
      0.45222388091461324,
      0.44733446363381235,
      0.4425034664741191,
      0.4377300732537992,
      0.43301348280095703,
      0.4283529090101759,
      0.423747579917627,
      0.41919673770350707,
      0.4146996381473624,
      0.41025555040277367,
      0.40586375650725803,
      0.40152355121331695,
      0.3972342416329101,
      0.392995146899976,
      0.3888055979282278,
      0.3846649371122583,
      0.38057251820156923,
      0.3765277057389314,
      0.37252987505414165,
      0.3685784118229341,
      0.3646727119540659,
      0.3608121813226529,
      0.35699623555350973,
      0.35322412476237797,
      0.34949500601084427,
      0.3458081347757895,
      0.34216283829715066,
      0.3385584966275014,
      0.33499452917431755,
      0.33147038522445965,
      0.3279855370568521,
      0.3245394754031606,
      0.32113170600629815,
      0.3177617472028888,
      0.3144291282532151,
      0.3111333880582726,
      0.30787407406832534,
      0.30465074181305296,
      0.3014629543398169,
      0.298310281697938,
      0.2951923006719863,
      0.2921086585452671,
      0.2890592288343172,
      0.28604385599179916,
      0.2830623086331538,
      0.28011430396500475,
      0.2771995245391467,
      0.27431763033359935,
      0.27146826699500654,
      0.2686510717868827,
      0.26586567757183205,
      0.26311171586069854,
      0.260388818635164,
      0.25769665826513927,
      0.2550349616261775,
      0.2524035315352586,
      0.24980216852255183,
      0.24723063349242408,
      0.24468865861168912,
      0.24217595095085837,
      0.23969220144053863,
      0.23723709111057947,
      0.23481027267330634,
      0.2324113516913727,
      0.23003994566200456,
      0.22769569122870176,
      0.22537823981352292,
      0.2230872544167764,
      0.2208224075214759,
      0.21858337934404626,
      0.21636985675625858,
      0.21418153246676316,
      0.2120181045874432,
      0.20987927598441383,
      0.20776475393354588,
      0.2056742499777141,
      0.2036074797558807,
      0.2015641628679249,
      0.1995440226599486,
      0.1975467860947194,
      0.19557218378380048,
      0.19361992372636622,
      0.1916896857665342,
      0.18978116649429977,
      0.18789408029309873,
      0.1860281550761238,
      0.18418312921504795,
      0.1823587494211602,
      0.1805547689592152,
      0.1787709466340791,
      0.17700704607417714,
      0.17526283506839166,
      0.1735380852464899,
      0.17183257152893466,
      0.1701460722992716,
      0.16847836884823325,
      0.16682924585043202,
      0.16519863492583675,
      0.16358655093007804,
      0.16199293792687455,
      0.1604176913445014,
      0.15886067338923457,
      0.15732172374256576,
      0.1558006670526497,
      0.1542973181201756,
      0.1528114857017333,
      0.15134297511133826,
      0.14989159274502947,
      0.1484571551463476,
      0.147039478380283,
      0.14563837543470964,
      0.14425365761329131,
      0.1428851360855632,
      0.141532622442124,
      0.14019592925633123,
      0.13887487054658035,
      0.13756926195591657,
      0.13627892102566214,
      0.13500366726508617,
      0.1337433221126317,
      0.13249770899225016,
      0.13126665347151786,
      0.13004998324870773,
      0.12884752798771454,
      0.12765911945853745,
      0.1264845913664887,
      0.12532377960777263,
      0.12417652198523024,
      0.12304265833142239,
      0.12192203039650336,
      0.12081448186366901,
      0.11971985824391086,
      0.11863800691675119,
      0.11756877719647796,
      0.1165120202778339,
      0.11546758909277224,
      0.11443533835113255,
      0.11341512461311688,
      0.11240680596718922,
      0.11141024238771205,
      0.11042529548192127,
      0.10945182854818797,
      0.10848968361530274,
      0.10753865480294605,
      0.1065985502198269,
      0.10566919912835458,
      0.10475044626382117,
      0.10384214759336417,
      0.1029441674791558,
      0.10205635812152247,
      0.10117852838228474,
      0.10031050064129406,
      0.09945211849004108,
      0.09860324107744574,
      0.0977637388957154,
      0.09693349081865149,
      0.09611238206906692,
      0.09530030271921038,
      0.09449714661679615,
      0.0937028037071964,
      0.09291712409217485,
      0.09213995221750315,
      0.09137115318249876,
      0.09061064029966216,
      0.08985835372190717,
      0.0891142252451016,
      0.08837818101622025,
      0.08765014346587263,
      0.086930032748942,
      0.08621776754655532,
      0.08551326579193405,
      0.08481644518345935,
      0.08412722344833619,
      0.08344551866353363,
      0.08277124935513354,
      0.08210433469795107,
      0.08144469457108942,
      0.08079224948244484,
      0.08014692089012268,
      0.0795086312119567,
      0.07887730671738287,
      0.07825287557113857,
      0.07763526537563491,
      0.07702440364019852,
      0.07642021794396718,
      0.07582263615638381,
      0.07523158648691149,
      0.07464699782221693,
      0.07406879967137465,
      0.07349692222478142,
      0.07293129619930937,
      0.07237185316568903,
      0.07181852531285604,
      0.07127124559648748,
      0.0707299477342434,
      0.07019456618192284,
      0.06966503601998135,
      0.06914129312873517,
      0.06862327395945465,
      0.068110915701945,
      0.06760415628320174,
      0.06710293433068124,
      0.06660718917638914,
      0.06611686070459892,
      0.06563188952932536,
      0.06515221688810671,
      0.06467778476748763,
      0.06420853581161554,
      0.06374441312523388,
      0.06328536051748508,
      0.06283132237288537,
      0.06238224382685159,
      0.061938070523990425,
      0.06149874878575287,
      0.06106422541145059,
      0.06063444788841398,
      0.06020936416887752,
      0.059788922865418585,
      0.05937307318795976,
      0.058961764838667996,
      0.05855494813132464,
      0.05815257389999559,
      0.05775459345719604,
      0.05736095371605617,
      0.05697157197090871,
      0.05658636093365434,
      0.056205246152631554,
      0.055828162544396064,
      0.055455051885041906,
      0.05508586104112781,
      0.0547205406815249,
      0.054359044340919586,
      0.05400132765060736,
      0.05364734788259843,
      0.05329706378653793,
      0.052950435050336024,
      0.052607422321466556,
      0.05226798698353626,
      0.051932090970950334,
      0.05159969690684109,
      0.05127076793505119,
      0.050945267601982355,
      0.05062315997849862,
      0.050304409491193566,
      0.04998898100962636,
      0.04967683982054279,
      0.04936795148296408,
      0.049062282015145765,
      0.04875979777150002,
      0.04846046547679553,
      0.04816425231258994,
      0.0478711256969342,
      0.047581053354507956,
      0.047294003438645926,
      0.047009944368846396,
      0.04672884495247922,
      0.046450674320270856,
      0.046175401856638966,
      0.0459029973441827,
      0.04563343091563201,
      0.045366672905336844,
      0.04510269408665196,
      0.04484146537631123,
      0.04458295810570164,
      0.044327143896203326,
      0.04407399458010513,
      0.04382348240225618,
      0.04357557986389538,
      0.043330259732832756,
      0.043087495051626304,
      0.04284725920710359,
      0.04260952583271977,
      0.04237426884533223,
      0.04214146240385028,
      0.041911080909966696,
      0.04168309913372678,
      0.041457491237692,
      0.04123421517632473,
      0.04101322111930819,
      0.04079446699028909,
      0.04057791652320334,
      0.040363537701980236,
      0.04015130154129925,
      0.03994118142955502,
      0.03973315241722341,
      0.03952719097633089,
      0.03932327454567201,
      0.03912138136958964,
      0.038921490295157665,
      0.038723580657621735,
      0.03852763225053096,
      0.0383336252210949,
      0.03814154003396169,
      0.03795135745837978,
      0.037763058461178264,
      0.037576624294444146,
      0.03739203636807206,
      0.037209276297916864,
      0.03702832595784473,
      0.036849167370671,
      0.036671782790442586,
      0.036496154569392064,
      0.03632226530828107,
      0.03615009777554834
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786323648874001,
      10.570451176672938,
      10.346112583917904,
      10.115864658319891,
      9.882008971759248,
      9.646563413314901,
      9.41130863601634,
      9.177784350409185,
      8.947316756679083,
      8.721001676192511,
      8.499695945655589,
      8.284012137364522,
      8.074325277192049,
      7.870791003025379,
      7.673372594616232,
      7.4818740656149165,
      7.295972697604273,
      7.115251999499745,
      6.939233189714314,
      6.767403458990476,
      6.599240490513024,
      6.43423315752012,
      6.271898595325407,
      6.111796000255601,
      5.9535375528297205,
      5.796792152699041,
      5.6412881629139005,
      5.486820706474632,
      5.3332571871820935,
      5.180534904059032,
      5.028657150373891,
      4.877701569256109,
      4.727807441364401,
      4.579169654321169,
      4.43204413193845,
      4.286739199202309,
      4.143604625926206,
      4.003019531810691,
      3.8653797227346876,
      3.7310850957644632,
      3.600535196898932,
      3.4741126310118444,
      3.3521635183867105,
      3.23498964605597,
      3.1228430092574295,
      3.0159209698543963,
      2.914367525987554,
      2.8182766850851575,
      2.7276867412945562,
      2.6425787294729055,
      2.562891234882024,
      2.488521838031157,
      2.4193127847671416,
      2.3550440053400825,
      2.2954462195629377,
      2.2402147454221986,
      2.1890100491636084,
      2.141456093727525,
      2.097143504583889,
      2.0556720867232223,
      2.016677762053734,
      1.9797925910966383,
      1.9446995249450378,
      1.9111506861635048,
      1.8789514421917757,
      1.8479452567945867,
      1.818006273174778,
      1.789027721148956,
      1.7609204796627103,
      1.73361337215015,
      1.707046594941865,
      1.6811706201756813,
      1.6559439885769345,
      1.6313313374201328,
      1.6073018972357378,
      1.5838282126430312,
      1.5608856309005392,
      1.5384518572985508,
      1.5165065085054377,
      1.495030778825988,
      1.4740071878614096,
      1.4534191697548986,
      1.4332507778313837,
      1.4134870737498717,
      1.3941140699405905,
      1.3751186028225253,
      1.3564887276607687,
      1.338213529970094,
      1.320282424156283,
      1.3026851475804808,
      1.2854117797093556,
      1.2684527506497505,
      1.2517988421537103,
      1.2354411830489094,
      1.2193712414438123,
      1.2035808142128188,
      1.1880620157793198,
      1.1728075010194001,
      1.1578105847071676,
      1.1430647385362538,
      1.1285637085539375,
      1.1143022902372561,
      1.1002755539125044,
      1.086478360289282,
      1.0729054809411787,
      1.059551680846123,
      1.0464117747429147,
      1.0334806644885612,
      1.020753363305826,
      1.0082250107585984,
      0.99589088130807,
      0.9837463892418158,
      0.9717870890953964,
      0.9600086751015259,
      0.9484069788716558,
      0.9369779656788433,
      0.9257177307728958,
      0.9146224955780008,
      0.903688602652552,
      0.8929125118477504,
      0.8822907955713483,
      0.8718201344676957,
      0.8614973135007412,
      0.8513192177116039,
      0.841282828497591,
      0.8313852196295759,
      0.8216235968794872,
      0.8119957175720833,
      0.8024995811971452,
      0.7931330520554009,
      0.7838937863205152,
      0.7747791553435417,
      0.7657870792375295,
      0.7569155103777744,
      0.7481623680028358,
      0.7395255708748821,
      0.7310030540760272,
      0.7225927802249151,
      0.7142927466125194,
      0.7061009899216881,
      0.6980155892481288,
      0.6900346671177808,
      0.6821563898167806,
      0.6743789677378804,
      0.6667006548943735,
      0.6591197479961589,
      0.6516345851502419,
      0.6442435918278299,
      0.6369460007709473,
      0.6297413952999018,
      0.6226290187358272,
      0.615607890172656,
      0.608676883368305,
      0.6018347812328605,
      0.5950803136652743,
      0.5884121830817999,
      0.5818290820992624,
      0.5753297056459129,
      0.5689127589458588,
      0.5625769630881045,
      0.5563210585104835,
      0.5501438068993555,
      0.5440439927912113,
      0.5380204237168924,
      0.5320719308805101,
      0.5261973689303061,
      0.5203956158710505,
      0.5146655724357799,
      0.5090061619128626,
      0.5034163293386968,
      0.49789504125509837,
      0.49244128501655965,
      0.48705406831234527,
      0.4817324186513244,
      0.4764753828374647,
      0.4712820263620134,
      0.4661514330963591,
      0.4610827045752907,
      0.45607495966114614,
      0.45112733400505456,
      0.4462389796640961,
      0.44140906477366415,
      0.43663677294660025,
      0.43192130280677343,
      0.42726186786197745,
      0.4226576959551977,
      0.4181080290325062,
      0.41361212256836916,
      0.40916924536010385,
      0.40477867931231676,
      0.40043971890733554,
      0.3961516710230148,
      0.3919138545394151,
      0.3877256000666272,
      0.38358624981911765,
      0.37949515710394194,
      0.37545168618652225,
      0.3714552119745148,
      0.3675051199535153,
      0.3636008057902934,
      0.3597416750875985,
      0.35592710247277654,
      0.3521562767175724,
      0.3484283859828573,
      0.34474270800247,
      0.3410985856321209,
      0.33749540973386133,
      0.3339326071797481,
      0.33040963235495635,
      0.3269259610499458,
      0.32348108651652135,
      0.32007451609717735,
      0.3167057691668739,
      0.31337437557932013,
      0.310079874485464,
      0.3068218135973973,
      0.3035997484119732,
      0.3004132417992372,
      0.2972618637260505,
      0.2941451907453171,
      0.2910629318732304,
      0.2880149698152453,
      0.2850011267364453,
      0.2820211555684097,
      0.2790747621887565,
      0.2761616211774892,
      0.2732813867470163,
      0.2704337004522365,
      0.26761819665139747,
      0.2648345060047821,
      0.2620822584633101,
      0.25936109163193927,
      0.2566706959056056,
      0.25401083895416626,
      0.251381338825919,
      0.24878197235683955,
      0.24621248521031924,
      0.24367259439301617,
      0.24116199630437224,
      0.23868037428958203,
      0.23622740399636794,
      0.23380271381917173,
      0.23140590407577943,
      0.229036597489174,
      0.2266944343112706,
      0.2243790684254276,
      0.22209016459955197,
      0.21982739637036794,
      0.21759044475514447,
      0.21537899712414077,
      0.21319274649774966,
      0.21103139106181357,
      0.20889463368318714,
      0.20678218160231374,
      0.20469374639105356,
      0.20262904359011955,
      0.20058779261056336,
      0.19856971666995954,
      0.19657454271259084,
      0.19460199817210774,
      0.1926517750126974,
      0.19072355369390628,
      0.18881703640105435,
      0.1869319414634659,
      0.18506799955000675,
      0.18322495084964685,
      0.1814025431746426,
      0.17960053068708115,
      0.17781867279875407,
      0.17605673349457152,
      0.1743144808101119,
      0.1725916864231691,
      0.17088812534494588,
      0.169203575862694,
      0.16753783053550744,
      0.1658908351719337,
      0.16426259560385004,
      0.16265304884910098,
      0.16106208466703698,
      0.15948956040524867,
      0.1579353114762614,
      0.1563991587452705,
      0.1548809136396945,
      0.15338038168665938,
      0.15189736519905184,
      0.15043167237602098,
      0.1489831183624303,
      0.14755151484881063,
      0.14613667092960042,
      0.14473839471773794,
      0.14335649418369478,
      0.1419907781388164,
      0.14064105653288808,
      0.13930714074822567,
      0.13798884415222798,
      0.13668598185413638,
      0.13539837109088565,
      0.13412583102126824,
      0.13286818300357114,
      0.13162525035218212,
      0.13039685861597144,
      0.12918283544372125,
      0.1279830105012339,
      0.1267972155797239,
      0.12562528453917468,
      0.12446705323332427,
      0.12332235944124254,
      0.1221910431107447,
      0.12107294600484253,
      0.1199679118185646,
      0.11887578612421174,
      0.11779641650126596,
      0.11672965231039478,
      0.11567534475360033,
      0.11463334685783227,
      0.11360351331862752,
      0.1125857007249027,
      0.11157976738940059,
      0.1105855733061072,
      0.10960298010712347,
      0.10863185072639174,
      0.10767200150931532,
      0.10672322393305599,
      0.10578533521983886,
      0.10485817121838298,
      0.10394158117439092,
      0.10303542440389153,
      0.10213956768525588,
      0.10125384645660512,
      0.10037806836265865,
      0.09951206305222068,
      0.09865567930694612,
      0.09780877999872102,
      0.09697123827145766,
      0.09614293490757476,
      0.09532375649347856,
      0.09451359410958382,
      0.0937123422601665,
      0.09291988788560658,
      0.09213608598937181,
      0.09136083247951834,
      0.09059403947182833,
      0.08983561828348784,
      0.0890854799222297,
      0.08834353542744425,
      0.08760969630648716,
      0.0868838744889007,
      0.08616598260686151,
      0.08545593407436833,
      0.08475364299091259,
      0.08405902440433127,
      0.08337199413768583,
      0.08269246899151651,
      0.0820203665359238,
      0.08135560535086564,
      0.08069810485031595,
      0.08004778525905916,
      0.07940456780865313,
      0.07876837454601474,
      0.07813913130576775,
      0.07751676640154635,
      0.07690120757074591,
      0.07629238237092892,
      0.07569021855613882,
      0.07509464404026023,
      0.07450558731903274,
      0.07392297740739162,
      0.07334674380112767,
      0.07277681673608388,
      0.07221312719550749,
      0.07165560672000251,
      0.07110418758208074,
      0.07055880285518927,
      0.07001938630148224,
      0.06948587240847798,
      0.0689581963550683,
      0.06843629404395438,
      0.06792010206359222,
      0.06740955769717377,
      0.06690459893439607,
      0.06640516442221547,
      0.06591119358661333,
      0.06542262646468316,
      0.06493940374907224,
      0.06446146680625643,
      0.06398875762721504,
      0.06352121871717946,
      0.0630587933877146,
      0.06260142555916885,
      0.06214905981347985,
      0.06170164122035899,
      0.061259115534457564,
      0.060821429127821056,
      0.060388529007500164,
      0.05996036262243384,
      0.05953687806956037,
      0.059118024064001296,
      0.05870374982549939,
      0.05829400511017957,
      0.05788874024731018,
      0.057487906159229094,
      0.057091454291469924,
      0.05669933430363416,
      0.056311467856209205,
      0.05592776593175642,
      0.05554815283593874,
      0.0551725626311995,
      0.05480093646916801,
      0.054433220774449426,
      0.0540693659514125,
      0.05370932521456787,
      0.05335305412671134,
      0.053000509996273495,
      0.05265165149166676,
      0.05230643831492758,
      0.05196483109246093,
      0.051626791199303794,
      0.05129228069455405,
      0.05096126226245395,
      0.05063369904480222,
      0.050309554672159675,
      0.04998879326838895,
      0.04967137926301193,
      0.049357277557971646,
      0.049046453454197135,
      0.04873887267226095,
      0.048434501174032925,
      0.048133305497491514,
      0.047835252381281695,
      0.04754030902608302,
      0.047248442903029875,
      0.046959621785831074,
      0.04667381390796409,
      0.04639098780382067,
      0.04611111230033035,
      0.045834156557320566,
      0.04556009005544518,
      0.04528888261683631,
      0.045020504369959864,
      0.04475492575705983,
      0.04449211754905636,
      0.04423205076952271,
      0.04397469680735893,
      0.04372002732088083,
      0.04346801425426314,
      0.04321862992843538,
      0.042971846878670346,
      0.04272763792876335,
      0.04248597613551348,
      0.04224683488065719,
      0.0420101879195509,
      0.04177600918306382,
      0.04154427286023704,
      0.041314953516782875,
      0.04108802585571163,
      0.040863464965012794,
      0.04064124613134925,
      0.04042134482600522,
      0.040203736914262427,
      0.03998838826236186,
      0.039775250955258995,
      0.039564282241954615,
      0.03935544552629685,
      0.039148708656022144,
      0.038944042836650476,
      0.038741421717236574,
      0.03854082086772148,
      0.03834221724441852,
      0.038145588813602485,
      0.037950914325437776,
      0.03775817322441448,
      0.037567345502287665,
      0.0373784115050976,
      0.03719135205354946,
      0.037006148212144666,
      0.03682278128822217,
      0.03664123292728335,
      0.036461484949006036,
      0.03628351943835294,
      0.036107318598953456,
      0.03593286487434325,
      0.03576014084431276,
      0.03558912932833949
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786310100616294,
      10.570407989908315,
      10.346028099501895,
      10.115730688901605,
      9.881820475806235,
      9.64631750385904,
      9.411004330263815,
      9.177421993142822,
      8.946897698573292,
      8.72052774942852,
      8.49916915041498,
      8.28343444048154,
      8.073698452217931,
      7.870116516392872,
      7.672651532674143,
      7.481107110785916,
      7.295160150330766,
      7.114393821418477,
      6.938329070614235,
      6.766452899156991,
      6.59824289527379,
      6.433187936935628,
      6.270805267819666,
      6.110654295188773,
      5.952347502353743,
      5.795553936972854,
      5.640002447186215,
      5.485488935089177,
      5.331881431876073,
      5.179118082940765,
      5.027202952170066,
      4.876214377633325,
      4.726292109794696,
      4.577631611757896,
      4.430489430813688,
      4.28517441769042,
      4.14203674449182,
      4.001455790504791,
      3.86382764062978,
      3.729552566926895,
      3.5990302651495134,
      3.472642904406223,
      3.350735907234172,
      3.23361026271886,
      3.12151709555106,
      3.0146524644293766,
      2.9131592830396325,
      2.817130710261421,
      2.726603924798377,
      2.6415591075475215,
      2.561934200860359,
      2.4876257038064424,
      2.418474203729663,
      2.354258298488716,
      2.2947078367243097,
      2.2395175762029313,
      2.188347703919906,
      2.1408218863590753,
      2.096530632100239,
      2.055074560481518,
      2.0160898218986407,
      1.9792089132578277,
      1.9441160606597547,
      1.9105644079191375,
      1.8783601446293643,
      1.8473473478636713,
      1.81740052862278,
      1.7884131456980612,
      1.7602963250358352,
      1.732979042545528,
      1.7064017298829055,
      1.680515015232503,
      1.6552775513719513,
      1.630654055768269,
      1.606613759105199,
      1.5831292073228256,
      1.5601758042698193,
      1.5377312942492143,
      1.5157753210143035,
      1.4942890967874343,
      1.4732551531935223,
      1.4526569978703618,
      1.432478696928324,
      1.4127052899258823,
      1.3933227727056428,
      1.3743179687372784,
      1.3556789549550625,
      1.3373948138250613,
      1.3194549422195438,
      1.3018490640359315,
      1.2845672483150625,
      1.2675999169440335,
      1.2509378447758612,
      1.2345721550368631,
      1.2184943107937487,
      1.2026961048175318,
      1.187169647981132,
      1.1719076508370299,
      1.1569034332862305,
      1.1421504446402209,
      1.1276424460020478,
      1.1133742684721815,
      1.0993409500181852,
      1.085537327864207,
      1.0719581563046208,
      1.0585981877569914,
      1.0454522277361098,
      1.032515170984554,
      1.0197820250041192,
      1.0072479249253123,
      0.9949081423659885,
      0.9827580885790738,
      0.970793316042397,
      0.9590095170920288,
      0.9474025216026777,
      0.9359682933705028,
      0.9247029266298281,
      0.9136026410789908,
      0.9026637783126009,
      0.8918827971635148,
      0.8812562691678604,
      0.870780874191307,
      0.8604533962040956,
      0.850270719238679,
      0.840229823817487,
      0.8303277829156331,
      0.8205619444676547,
      0.8109302289317964,
      0.8014305374163914,
      0.7920606663878289,
      0.7828181984222896,
      0.7737006479866102,
      0.7647059559678043,
      0.7558319968371408,
      0.7470766364972139,
      0.7384377560703149,
      0.7299132641110291,
      0.7215011044375621,
      0.7131992611230253,
      0.7050057618492159,
      0.6969186788348072,
      0.6889361299281597,
      0.6810562781793884,
      0.6732773316109397,
      0.6655975423107671,
      0.6580152053942531,
      0.650528658125835,
      0.6431364972327943,
      0.6358382047360173,
      0.6286332285457686,
      0.6215207189181307,
      0.6144996302114268,
      0.6075687911533502,
      0.600726953129501,
      0.5939728238703312,
      0.5873050905630568,
      0.580722435265587,
      0.5742235453486932,
      0.56780712096547,
      0.5614718796043158,
      0.5552165590959438,
      0.5490399193190181,
      0.5429407433053762,
      0.53691783755035,
      0.5309700324517986,
      0.5250961823774273,
      0.5192951646786338,
      0.5135658796642301,
      0.5079072501652276,
      0.5023182210504018,
      0.4967977587733038,
      0.49134485034265046,
      0.4859585032444205,
      0.4806377446398814,
      0.47538162111459875,
      0.470189198115146,
      0.46505955920384706,
      0.4599918055391962,
      0.4549850557623248,
      0.4500384453002287,
      0.4451511259767339,
      0.44032226557773024,
      0.43555104749856166,
      0.43083667024682737,
      0.4261783469795655,
      0.421575305279668,
      0.4170267867658343,
      0.41253204671602417,
      0.4080903537042518,
      0.4037009893296509,
      0.39936324768138515,
      0.3950764353547121,
      0.3908398710278959,
      0.38665288490520405,
      0.3825148188916123,
      0.3784250261528759,
      0.37438287074774224,
      0.37038772740993375,
      0.3664389812508044,
      0.36253602763786213,
      0.3586782718685838,
      0.3548650272280847,
      0.351095447966974,
      0.34736875210820684,
      0.3436842380734938,
      0.3400412630961643,
      0.3364392279993966,
      0.3328775666710345,
      0.32935573836593923,
      0.32587322221107207,
      0.32242951351310206,
      0.3190241210671459,
      0.31565656524168306,
      0.312326376374981,
      0.30903309403904405,
      0.30577626595887464,
      0.3025554476923673,
      0.29937020205145604,
      0.29622009878519723,
      0.29310471421901646,
      0.2900238196665056,
      0.2869773055515839,
      0.2839649720217388,
      0.28098655637513875,
      0.27804175341249904,
      0.2751302297759741,
      0.2722516340340789,
      0.26940560373291633,
      0.2665917702421803,
      0.26380976229199044,
      0.2610592081128762,
      0.2583397572716321,
      0.25565113105798803,
      0.25299313688029784,
      0.25036557581799995,
      0.24776820744316352,
      0.24520076207263042,
      0.2426629438751944,
      0.24015444024417243,
      0.23767492805550827,
      0.23522406862239564,
      0.23280147130203419,
      0.23040674131192904,
      0.228039505451442,
      0.2256994068740246,
      0.2233861013012018,
      0.22109925484092297,
      0.2188385418756806,
      0.2166036438907742,
      0.21439424870361115,
      0.21221004949410183,
      0.21005074443385321,
      0.20791603645523046,
      0.2058056327140462,
      0.20371924473681247,
      0.20165658798058064,
      0.19961738174588933,
      0.19760134911164806,
      0.19560821682809354,
      0.1936377033297567,
      0.19168948748726924,
      0.18976325648761574,
      0.18785871709968416,
      0.18597559086206317,
      0.18411361060840234,
      0.18227251817690013,
      0.18045206241709275,
      0.17865199818692634,
      0.176872085356223,
      0.1751120881693606,
      0.17337177483750021,
      0.17165091709206962,
      0.16994928991356054,
      0.16826669236530575,
      0.16660308278180863,
      0.1649584590429405,
      0.16333275176223175,
      0.16172584526371384,
      0.16013759217429924,
      0.15856782394801952,
      0.15701635773119949,
      0.15548300159315026,
      0.15396755796346867,
      0.1524698275729996,
      0.15098961999539712,
      0.1495267468813961,
      0.14808101577835878,
      0.14665223225809276,
      0.14524020118193218,
      0.14384472764962591,
      0.14246561762928503,
      0.1411026784360406,
      0.13975571904899933,
      0.13842455025469871,
      0.1371089848151462,
      0.13580883759732854,
      0.13452392546111827,
      0.13325406753535934,
      0.13199908509400307,
      0.13075880149018954,
      0.12953304229429674,
      0.12832163510817385,
      0.12712440965359398,
      0.12594119775311888,
      0.12477183325409694,
      0.12361615208693513,
      0.12247399215208986,
      0.12134519332818598,
      0.12022959749312999,
      0.11912704836762959,
      0.11803739165109832,
      0.11696047489705268,
      0.11589614756700332,
      0.11484426087404744,
      0.11380466786821182,
      0.11277722340716734,
      0.11176178407591482,
      0.1107582082078578,
      0.1097663558675458,
      0.10878608882011591,
      0.10781725669768098,
      0.10685965665322504,
      0.1059130905238286,
      0.104977382836232,
      0.10405237446427,
      0.1031379183603992,
      0.1022338764018519,
      0.10134011157301588,
      0.10045644522230388,
      0.0995826893133353,
      0.09871867973184816,
      0.09786426969550258,
      0.09701932520524392,
      0.09618372165897157,
      0.09535734148743613,
      0.09454007251677554,
      0.09373180663136194,
      0.09293246288483556,
      0.09214197731075456,
      0.091360232303107,
      0.09058710667386255,
      0.08982248763999616,
      0.0890662688206442,
      0.08831834858975159,
      0.08757862907656508,
      0.08684701532029619,
      0.08612341477318905,
      0.08540773687624324,
      0.08469989268056549,
      0.08399979481836502,
      0.08330735712988367,
      0.08262249470517649,
      0.08194512373659489,
      0.08127516158843119,
      0.08061252649536699,
      0.07995713773858115,
      0.07930891555175175,
      0.07866778106569201,
      0.078033656259638,
      0.07740646630030015,
      0.07678613957275186,
      0.07617260412256387,
      0.075565787700575,
      0.07496561814611677,
      0.07437202359551674,
      0.07378493262194188,
      0.0732042742110735,
      0.0726299781043193,
      0.07206197469290435,
      0.07150019489243907,
      0.07094457036268789,
      0.07039503357443472,
      0.06985151763439246,
      0.06931395634142958,
      0.06878228422342507,
      0.0682564366306004,
      0.06773634951400606,
      0.0672219595053578,
      0.06671320401220426,
      0.06621002109631936,
      0.06571234950414144,
      0.06522012862994425,
      0.06473329865960534,
      0.0642518003194579,
      0.06377557504108368,
      0.06330456494742398,
      0.0628387127139975,
      0.06237796162336586,
      0.061922255691729176,
      0.06147153949295517,
      0.06102575822979255,
      0.06058485777551706,
      0.06014878452411941,
      0.05971748543986772,
      0.059290908153350134,
      0.05886900090434516,
      0.058451712372413964,
      0.05803899182739458,
      0.05763078918970521,
      0.05722705482931992,
      0.05682773972582133,
      0.056432795338110915,
      0.05604217370504385,
      0.05565580137186888,
      0.05527358808262285,
      0.054895456719706956,
      0.05452134031938358,
      0.05415117940015128,
      0.053784919915007265,
      0.05342251178147828,
      0.05306390809816435,
      0.05270906434831346,
      0.052357937663332396,
      0.05201048671951935,
      0.05166667115406425,
      0.05132645162719482,
      0.05098978959572258,
      0.05065664713744787,
      0.050326986936938926,
      0.050000772114524895,
      0.04967796634658894,
      0.04935853380986899,
      0.049042439051184564,
      0.048729647046429285,
      0.048420123153059325,
      0.0481138331244257,
      0.047810743103362696,
      0.047510819550485604,
      0.04721402929156425,
      0.04692033955337958,
      0.04662971782942198,
      0.04634213203297227,
      0.0460575504003624,
      0.04577594150701919,
      0.045497274246580045,
      0.04522151784937189,
      0.04494864183212702,
      0.04467861613661776,
      0.04441141095185245,
      0.04414699670903696,
      0.043885344258512614,
      0.04362642472411375,
      0.043370209482691637,
      0.04311667026850023,
      0.04286577908816503,
      0.04261750826394513,
      0.042371830443331586,
      0.04212871840297972,
      0.04188814532732233,
      0.04165008470671712,
      0.04141451030073856,
      0.04118139602915567,
      0.04095071621996139,
      0.04072244540712574,
      0.040496558405918426,
      0.04027303022398716,
      0.040051836310371236,
      0.03983295230990159,
      0.03961635396798215,
      0.039402017379300075,
      0.039189918938738806,
      0.03898003521086397,
      0.03877234045425773,
      0.03856679300322927,
      0.03836334822109124,
      0.03816196831063353,
      0.0379626204831322,
      0.03776527561191333,
      0.037569907441254206,
      0.03737649154526687,
      0.0371850051084636,
      0.03699542647379737,
      0.036807734835458086,
      0.036621910246423375,
      0.03643793316503402,
      0.03625578455677083,
      0.03607544577835146,
      0.03589689845381218,
      0.0357201244885929,
      0.03554510606862728,
      0.03537182560957153,
      0.03520026578032262,
      0.03503040937789326
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786296664760014,
      10.570364912259082,
      10.345943671882075,
      10.115596900609852,
      9.881632419897604,
      9.646072393058894,
      9.410701256877669,
      9.177061357917715,
      8.946480893525388,
      8.72005663881096,
      8.498645759472964,
      8.282860754096768,
      8.073076255551667,
      7.869447282900416,
      7.671936356444076,
      7.480346678791506,
      7.294354767605762,
      7.113543455051783,
      6.937433416404786,
      6.765511465756755,
      6.597255097049372,
      6.432153194326454,
      6.269723109803954,
      6.1095244606192765,
      5.95116993932555,
      5.7943287542460515,
      5.638730352296112,
      5.484171384394224,
      5.330520502797063,
      5.177716693453859,
      5.025764784402977,
      4.874743798889958,
      4.72479395064601,
      4.576111269327035,
      4.428952915136288,
      4.283628255592815,
      4.140487857388786,
      3.999911352296842,
      3.8622950972964736,
      3.728039774705619,
      3.5975452183025047,
      3.4711931154903652,
      3.3493281932533807,
      3.2322506465836227,
      3.1202107348107915,
      3.013403223849419,
      2.911969952326184,
      2.8160032380567737,
      2.7255391538178793,
      2.640557034660127,
      2.5609941877887477,
      2.4867458533037783,
      2.4176511888711847,
      2.3534874663339296,
      2.293983671376869,
      2.238834013106399,
      2.1876984063369718,
      2.140200224770481,
      2.095929862617586,
      2.0544887474996196,
      2.0155132595029652,
      1.9786363302264962,
      1.9435434494832695,
      1.9099887744948851,
      1.8777792917950868,
      1.8467597109115552,
      1.8168049062081773,
      1.7878085629509874,
      1.759682048757487,
      1.7323544883423816,
      1.7057665460763083,
      1.67986900444401,
      1.65462062790738,
      1.629986213156765,
      1.6059349682536852,
      1.582439467545102,
      1.5594751691219086,
      1.5370198549865308,
      1.5150531948369197,
      1.4935564178990566,
      1.472512066322085,
      1.4519036989092582,
      1.4317154242317511,
      1.4119322576596798,
      1.392540176443693,
      1.3735259893356502,
      1.3548777943737913,
      1.3365846697832862,
      1.3186359943558572,
      1.301021478267569,
      1.2837311798604134,
      1.266755512259735,
      1.2500852434225114,
      1.2337114905551483,
      1.2176257123183256,
      1.2018196975451227,
      1.186285553253428,
      1.1710160456100676,
      1.1560044996717889,
      1.1412443420812481,
      1.1267293488527337,
      1.1124543859955411,
      1.0984144592581044,
      1.0846043828640297,
      1.0710188941516559,
      1.0576527326310061,
      1.0445006944402522,
      1.0315576671987907,
      1.018818653025619,
      1.0062787831519613,
      0.9939333252520154,
      0.9817776881652344,
      0.9698074220605403,
      0.9580182173740448,
      0.9464059023353925,
      0.9349664392980274,
      0.9236959209492471,
      0.9125905659951796,
      0.9016467150317635,
      0.8908608257322524,
      0.8802294684619807,
      0.8697493220540673,
      0.859417169683373,
      0.8492298945664241,
      0.8391844763356707,
      0.8292779870997969,
      0.8195080185183087,
      0.8098725191396008,
      0.800369302604714,
      0.7909961043566366,
      0.7817505107327518,
      0.772630155855972,
      0.7636329217386804,
      0.7547566173235346,
      0.74599906362959,
      0.7373581102935141,
      0.7288316436213055,
      0.720417591809021,
      0.7121139280532034,
      0.7039186721120786,
      0.6958298905435084,
      0.6878456972154059,
      0.6799642524776176,
      0.6721837622062736,
      0.6645024767817465,
      0.6569186901410479,
      0.6494307384819871,
      0.6420375132736712,
      0.6347385819573075,
      0.6275332704508507,
      0.6204206442840139,
      0.6133995988384944,
      0.6064689215426932,
      0.5996273353966569,
      0.59287352839135,
      0.586206173600525,
      0.5796239431439281,
      0.5731255177508923,
      0.5667095927252701,
      0.5603748822722281,
      0.5541201218253456,
      0.5479440693813012,
      0.5418455068462147,
      0.5358232400297154,
      0.5298760985408761,
      0.5240029359219466,
      0.5182026293911407,
      0.5124740789437957,
      0.5068162070883577,
      0.5012279583544353,
      0.49570829867983435,
      0.49025621503486505,
      0.4848707145493996,
      0.47955082426441115,
      0.4742955903907251,
      0.4691040780956953,
      0.4639753707515797,
      0.4589085694608428,
      0.45390279247936577,
      0.4489571750475347,
      0.4440708687413816,
      0.439243041032136,
      0.43447287500398546,
      0.4297595688259468,
      0.42510233548691795,
      0.42050040238876146,
      0.4159530108498371,
      0.4114594158246479,
      0.4070188855865012,
      0.40263070145136426,
      0.39829415739051477,
      0.394008559711577,
      0.389773226757785,
      0.38558748862592424,
      0.38145068687914657,
      0.3773621743313376,
      0.37332131457277784,
      0.3693274820775959,
      0.36538006172413173,
      0.36147844864404444,
      0.3576220465187715,
      0.3538100899108558,
      0.3500417245256311,
      0.3463161958373755,
      0.34263282140687207,
      0.33899097185425364,
      0.33539005737495037,
      0.33182951836556834,
      0.32830881840864184,
      0.32482743965644517,
      0.3213848796052053,
      0.31798064837132883,
      0.3146142671223177,
      0.3112852668176919,
      0.30799318706544876,
      0.30473757577772886,
      0.30151798845448,
      0.29833398772984143,
      0.2951851431544054,
      0.2920710612095513,
      0.2889915612240129,
      0.28594651064728493,
      0.28293569185340234,
      0.2799588296052431,
      0.2770156097802893,
      0.27410569275912616,
      0.27122872253073094,
      0.2683843332417018,
      0.26557215383692356,
      0.26279181126773377,
      0.2600429324708208,
      0.25732518791243936,
      0.2546383466753547,
      0.25198222978714235,
      0.2493566137923211,
      0.24676124296224988,
      0.2441958323088221,
      0.2416600752018372,
      0.23915365128668414,
      0.2366762319609483,
      0.23422745952235235,
      0.23180693117719584,
      0.2294142578554347,
      0.22704907020660162,
      0.2247110139846529,
      0.22239974685558342,
      0.2201149360948225,
      0.21785625687288146,
      0.21562339127604624,
      0.2134160273334419,
      0.21123385839042505,
      0.20907658276282629,
      0.20694390328915033,
      0.20483552718626374,
      0.20275116585211064,
      0.20069053461517297,
      0.19865335265850576,
      0.19663934295321323,
      0.19464823202270504,
      0.1926797223965954,
      0.1907334894020493,
      0.18880922606195935,
      0.1869066432021815,
      0.18502546523950972,
      0.18316542703522026,
      0.18132627162407494,
      0.179507748924964,
      0.17770961435938923,
      0.1759316282127025,
      0.17417355493391226,
      0.17243516283000102,
      0.17071622369515285,
      0.16901654163271632,
      0.16733608547077436,
      0.16567484601670526,
      0.16403274800385376,
      0.16240967089950803,
      0.16080546311131189,
      0.15921995213490917,
      0.15765295162854542,
      0.15610426637100422,
      0.1545736957202142,
      0.15306104013803973,
      0.15156610939446816,
      0.150088710732158,
      0.14862864795145603,
      0.14718572315567058,
      0.14575973801061046,
      0.14435049473990652,
      0.14295779650954626,
      0.14158144797348315,
      0.14022125556878534,
      0.13887702765689,
      0.13754857451784339,
      0.13623570865599344,
      0.1349382447432201,
      0.13365599966506528,
      0.13238879245285598,
      0.13113644422893497,
      0.12989877841973785,
      0.12867562062631963,
      0.1274667984831967,
      0.12627214170814738,
      0.12509148217809893,
      0.1239246537831145,
      0.12277149250343597,
      0.12163183641086046,
      0.12050552537191703,
      0.11939240127848702,
      0.11829230795466968,
      0.1172050910827985,
      0.1161305982376848,
      0.11506867887644956,
      0.11401918437908533,
      0.11298196787346358,
      0.11195688425048546,
      0.1109437902109161,
      0.10994254414672194,
      0.10895300619995196,
      0.10797503813713535,
      0.10700846702513483,
      0.10605308350708524,
      0.10510869866379918,
      0.10417514357888591,
      0.10325226384307233,
      0.10233991569789799,
      0.10143796333983751,
      0.10054626230627506,
      0.0996646216458162,
      0.09879286118284636,
      0.0979308224258324,
      0.0970783625865636,
      0.09623535047930444,
      0.0954016635652748,
      0.09457718734462871,
      0.0937618477828621,
      0.09295559102578997,
      0.09215834907951183,
      0.09137002562703586,
      0.09059047903010706,
      0.08981957325235544,
      0.0890571849173587,
      0.08830320009406427,
      0.08755751185014107,
      0.08682001849399938,
      0.08609062230730707,
      0.0853692288655028,
      0.08465574626243481,
      0.08395008466300741,
      0.08325215607650077,
      0.08256187391728614,
      0.08187915298140701,
      0.08120390929128726,
      0.08053605998651946,
      0.0798755233078733,
      0.07922221850254094,
      0.07857606583510988,
      0.07793698647180203,
      0.07730490246035765,
      0.07667973835696328,
      0.07606142249514916,
      0.07544988314092524,
      0.07484504830971615,
      0.07424684605181517,
      0.07365520466178793,
      0.0730700528187547,
      0.0724913196641115,
      0.07191893495139165,
      0.07135282909619906,
      0.0707929332447009,
      0.07023917914753725,
      0.06969149926205283,
      0.06914982680610875,
      0.06861409571287243,
      0.06808424058216285,
      0.06756019683143902,
      0.06704190044253158,
      0.06652928816577183,
      0.06602229742441666,
      0.06552086638729762,
      0.06502493392648592,
      0.06453443954268358,
      0.06404932343607242,
      0.06356952643677925,
      0.06309498999493307,
      0.06262565619517077,
      0.06216146781846051,
      0.061702368383970134,
      0.06124830192982797,
      0.06079921306960951,
      0.060355047161990326,
      0.05991575001292707,
      0.059481268068839396,
      0.059051548453673594,
      0.05862653884917017,
      0.05820618753026531,
      0.05779044324030055,
      0.05737925536393784,
      0.05697257383200001,
      0.05657034919729282,
      0.056172532470813274,
      0.055779075303239806,
      0.05538992978735994,
      0.05500502841144418,
      0.05462428202130302,
      0.05424761177298151,
      0.05387494942544734,
      0.05350623456862045,
      0.053141412552925135,
      0.052780432896015625,
      0.05242324845638679,
      0.05206981448969915,
      0.05172008800380867,
      0.051374027502012504,
      0.05103159270388285,
      0.050692744168708226,
      0.05035744334224709,
      0.05002565233318646,
      0.04969733387697314,
      0.049372451203046064,
      0.04905096805377828,
      0.04873284852076003,
      0.04841805721341819,
      0.048106559190811464,
      0.047798319914410706,
      0.04749330514519582,
      0.047191481061352306,
      0.04689281426299227,
      0.046597271648196985,
      0.04630482041113154,
      0.04601542810794212,
      0.04572906273047519,
      0.04544569256228299,
      0.04516528616287963,
      0.04488781245491533,
      0.04461324081906177,
      0.044341540847246806,
      0.0440726825165534,
      0.04380663604644694,
      0.04354337204646377,
      0.043282861299574905,
      0.043025074915217405,
      0.042769984318162035,
      0.04251756138181975,
      0.04226777818469128,
      0.04202060706346903,
      0.04177602072124639,
      0.041533991990349295,
      0.04129449409191263,
      0.04105750059478695,
      0.04082298531228017,
      0.04059092229200179,
      0.040361285908337964,
      0.04013405064137207,
      0.0399091914193217,
      0.03968668336767142,
      0.03946650186465875,
      0.0392486224640544,
      0.03903302112061425,
      0.03881967404213647,
      0.03860855767268798,
      0.03839964864811749,
      0.03819292382871949,
      0.037988360348568895,
      0.0377859356120554,
      0.037585627208518976,
      0.03738740640577531,
      0.03719122949757301,
      0.036997056072536755,
      0.03680485162959065,
      0.03661458604672339,
      0.03642623238184176,
      0.03623976608055517,
      0.036055164307461696,
      0.035872405631178265,
      0.035691469580915854,
      0.03551233649015793,
      0.03533498728603035,
      0.035159403386144844,
      0.034985566667146285,
      0.03481345928548423,
      0.03464306373181254,
      0.03447436273367551
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786283501201362,
      10.570322422990829,
      10.345860186738026,
      10.115464509865667,
      9.881446286859447,
      9.645829777102634,
      9.41040127962953,
      9.176704439323304,
      8.946068436592553,
      8.719590512119698,
      8.498127987725372,
      8.282293318820841,
      8.07246093838568,
      7.868785554178573,
      7.671229305922291,
      7.479594991821067,
      7.29355875068162,
      7.112703080057661,
      6.936548386845432,
      6.764581298142327,
      6.5962792156182735,
      6.4311310304045515,
      6.268654202916552,
      6.108408559027153,
      5.950006968277586,
      5.793118801471914,
      5.637474181341366,
      5.482870451227765,
      5.3291768775728094,
      5.176333282445836,
      5.02434525053855,
      4.873292481739478,
      4.723315646744478,
      4.574611333605961,
      4.427437305529161,
      4.282103436940757,
      4.138960680683185,
      3.9983889129153485,
      3.860784729812507,
      3.726549244646378,
      3.596082448722993,
      3.4697655232087916,
      3.347942502625143,
      3.230912791684489,
      3.1189257410204707,
      3.0121748434133853,
      2.9108009211168944,
      2.8148953870730296,
      2.7244932329955067,
      2.6395730280274456,
      2.560071451022501,
      2.4858824992645623,
      2.4168439135952484,
      2.352731646139282,
      2.2932738282479237,
      2.2381641323997576,
      2.1870622074523554,
      2.1395911370478977,
      2.095341203735502,
      2.05391463791657,
      2.014948051002722,
      1.978074807869349,
      1.9429816504398525,
      1.9094237389362607,
      1.877208849850922,
      1.8461823206472112,
      1.8162193856712616,
      1.787213955377134,
      1.7590776346860275,
      1.7317396934965945,
      1.7051410278087653,
      1.6792325726094228,
      1.6539732021498028,
      1.6293277746400598,
      1.6052654830602575,
      1.5817589461619723,
      1.5587836736220886,
      1.5363174834691795,
      1.5143400695906912,
      1.4928326775513776,
      1.4717778599435745,
      1.4511592169652474,
      1.4309609120798834,
      1.4111679344331804,
      1.391766241441945,
      1.372742639561773,
      1.3540852408687776,
      1.335783106064059,
      1.3178255975108462,
      1.300202412636189,
      1.2829035998855043,
      1.265919564001002,
      1.2492410662535958,
      1.2328592189911602,
      1.216765476141087,
      1.200951622359479,
      1.1854097691530456,
      1.170132733880407,
      1.155113838916951,
      1.1403464896411886,
      1.1258244778092263,
      1.1115427047503819,
      1.0974961442910007,
      1.0836795875329939,
      1.070087755336412,
      1.0567153750760299,
      1.043557233462733,
      1.03060821072962,
      1.0178633037991878,
      1.0053176396210304,
      0.992966482552435,
      0.9808052387230843,
      0.9688294560962928,
      0.9570348232025343,
      0.9454171665627015,
      0.9339724469666566,
      0.9226967558848248,
      0.9115863107959106,
      0.9006374510559688,
      0.8898466331854349,
      0.8792104267354928,
      0.8687255097061239,
      0.8583886640098801,
      0.8481967721353418,
      0.8381468126529539,
      0.8282359745277539,
      0.8184620366819596,
      0.8088228571067264,
      0.7993161797268459,
      0.789939690655339,
      0.7806910046175467,
      0.7715678875256713,
      0.7625681332412179,
      0.7536894915610028,
      0.7449297431044128,
      0.7362867088990402,
      0.7277582551694461,
      0.7193422959021917,
      0.7110367942570424,
      0.7028397627706601,
      0.6947492630337015,
      0.6867634052389505,
      0.6788803468782708,
      0.6710982920261365,
      0.6634154896699257,
      0.6558302326243987,
      0.6483409018755689,
      0.6409466967556039,
      0.6336471766094478,
      0.6264415562251905,
      0.6193288238010657,
      0.6123078206929597,
      0.6053772967981313,
      0.5985359488187265,
      0.5917824463359493,
      0.5851154497258619,
      0.5785336222938923,
      0.5720356384292492,
      0.5656201892373609,
      0.5592859857257712,
      0.5530317610884051,
      0.5468562719496503,
      0.540758298757425,
      0.5347366464780249,
      0.5287901442787852,
      0.5229176451449231,
      0.5171180257153554,
      0.5113901856815127,
      0.5057330472860164,
      0.5001455547989616,
      0.49462667405047256,
      0.4891753915396203,
      0.48379071436869303,
      0.47847166927607654,
      0.47321730229625014,
      0.4680266782091877,
      0.4628988800364854,
      0.4578330086622208,
      0.45282818232670685,
      0.4478835358416953,
      0.44299822046985987,
      0.4381714036053222,
      0.4334022679778553,
      0.4286900114497582,
      0.42403384666881244,
      0.4194330007324775,
      0.414886714812938,
      0.41039424361789767,
      0.40595485509355744,
      0.4015678303214846,
      0.39723246297395737,
      0.39294805901551794,
      0.38871393657510495,
      0.3845294254309076,
      0.38039386689654686,
      0.3763066135243121,
      0.37226702872860495,
      0.36827448663492734,
      0.36432837185019373,
      0.3604280791545161,
      0.35657297123094867,
      0.35276222277417485,
      0.34899501082458195,
      0.34527060254328473,
      0.34158833069506933,
      0.3379475766073065,
      0.3343477577016557,
      0.3307883193522121,
      0.3272687285856601,
      0.32378846989500676,
      0.3203470421724918,
      0.31694395657403446,
      0.31357873486261345,
      0.31025090821270823,
      0.306960016485298,
      0.3037056076406378,
      0.3004872371346195,
      0.297304467361099,
      0.29415686766036436,
      0.29104407634852686,
      0.28796595950482945,
      0.28492235975567176,
      0.2819130422387786,
      0.27893771934641276,
      0.2759960681822566,
      0.2730877428592803,
      0.2702123829060947,
      0.2673696193140909,
      0.2645590787449272,
      0.2617803862578336,
      0.2590331756976632,
      0.2563171516742366,
      0.2536321257938162,
      0.25097790158718497,
      0.24835423802726564,
      0.24576086429374175,
      0.24319748237439284,
      0.24066377636068614,
      0.23815941942581076,
      0.23568407842321756,
      0.23323737206396447,
      0.23081889266984726,
      0.22842825662879992,
      0.22606509827847968,
      0.22372906587603397,
      0.22141981885942152,
      0.2191370256136167,
      0.21688036212832182,
      0.21464951089323642,
      0.21244416029442603,
      0.2102640038990128,
      0.2081087400071388,
      0.2059780715085114,
      0.20387170552088574,
      0.2017893533187653,
      0.1997307301064912,
      0.19769555490293153,
      0.19568355056225795,
      0.19369444016731263,
      0.19172791113228133,
      0.1897836399538566,
      0.1878613248175029,
      0.185960680256743,
      0.18408143314520167,
      0.18222332009308786,
      0.1803860854111239,
      0.17856947973612644,
      0.17677325905871044,
      0.17499718392057875,
      0.1732410189689938,
      0.17150453267659488,
      0.16978753287954598,
      0.16808999682081585,
      0.16641190925257354,
      0.16475318979215256,
      0.1631137133734036,
      0.16149332440627617,
      0.1598918467008778,
      0.15830909057443018,
      0.15674485753762457,
      0.15519894384412794,
      0.15367115144498875,
      0.1521612879562559,
      0.1506691564404431,
      0.14919455695678388,
      0.14773728822986446,
      0.14629714891681805,
      0.14487393822977476,
      0.14346745662821658,
      0.14207750611390751,
      0.1407038905423151,
      0.1393464157742395,
      0.13800488971885114,
      0.13667912255492776,
      0.13536892660276428,
      0.13407411645760334,
      0.13279450897731584,
      0.1315299230487857,
      0.13028017992020444,
      0.1290451030133686,
      0.1278245179148448,
      0.12661825220861236,
      0.12542613572287117,
      0.1242480003892863,
      0.12308368016076547,
      0.12193301103111785,
      0.12079583101056818,
      0.11967198012735034,
      0.11856130028971468,
      0.11746363540246804,
      0.11637883124214303,
      0.11530673551036676,
      0.1142471977410849,
      0.11320006925239251,
      0.1121652032123774,
      0.11114245462259058,
      0.11013168012323764,
      0.10913273816026117,
      0.10814548892978837,
      0.1071697876403245,
      0.10620543968147815,
      0.10525223957979118,
      0.10431000638469347,
      0.10337857667311726,
      0.10245779995260597,
      0.10154753542434186,
      0.10064764926675823,
      0.0997579816568234,
      0.09887833990933725,
      0.09800855062199802,
      0.09714846013677786,
      0.09629792921401813,
      0.09545683690544973,
      0.09462510903293596,
      0.09380268064481885,
      0.0929894752831655,
      0.09218540872263817,
      0.09139039169174085,
      0.09060430929319,
      0.08982700915650271,
      0.0890583492006914,
      0.08829820182016966,
      0.08754645012563439,
      0.0868029850214364,
      0.08606770334988066,
      0.08534050647818936,
      0.08462129915072987,
      0.08390998897137865,
      0.08320648579495551,
      0.08251070137516643,
      0.08182254897521223,
      0.08114194339777443,
      0.08046880062906378,
      0.07980303782816243,
      0.07914457332682552,
      0.07849332637917965,
      0.07784921715678181,
      0.07721216693444058,
      0.07658209787644794,
      0.07595893389752739,
      0.07534260326150505,
      0.07473303457415059,
      0.0741301560698346,
      0.07353389598093166,
      0.07294418278257038,
      0.07236094518720278,
      0.07178411256934959,
      0.07121361484561117,
      0.0706493824871404,
      0.07009134662016572,
      0.06953943904617244,
      0.0689935923566414,
      0.06845373986976365,
      0.06791981554759238,
      0.06739175411264754,
      0.06686949104344449,
      0.06635296245839181,
      0.06584210515166702,
      0.06533685659314853,
      0.06483715508074393,
      0.06434293951091588,
      0.06385414945040246,
      0.0633707251054436,
      0.06289260738898493,
      0.06241973793337822,
      0.06195205888917533,
      0.061489513190790206,
      0.06103204426800244,
      0.060579596182809316,
      0.06013211380660951,
      0.05968954251390266,
      0.05925182818318855,
      0.05881891731747374,
      0.05839075706556891,
      0.057967295172474786,
      0.05754847999898907,
      0.05713426040348832,
      0.05672458583589488,
      0.05631940627781179,
      0.05591867231823826,
      0.05552233507591304,
      0.055130346180937935,
      0.05474265780583309,
      0.054359208938705696,
      0.053979911612054204,
      0.05360468502807411,
      0.053233459579260005,
      0.0528661739184038,
      0.05250277273803169,
      0.052143205168466364,
      0.05178742360616997,
      0.051435383111879764,
      0.051087040624660365,
      0.05074235457804244,
      0.050401284566183084,
      0.050063791157739665,
      0.04972983582496336,
      0.0493993807615994,
      0.04907238866882355,
      0.04874882279743113,
      0.0484286468648786,
      0.04811182509197848,
      0.047798322193737794,
      0.047488103248055503,
      0.04718113373126103,
      0.04687737951703693,
      0.046576806790855574,
      0.0462793821438781,
      0.04598507251260536,
      0.04569384522465771,
      0.04540566798581256,
      0.04512050873480313,
      0.04483833582352708,
      0.04455911792197862,
      0.04428282404867898,
      0.044009423567337454,
      0.043738886140335075,
      0.04347118165153463,
      0.04320628039405905,
      0.04294415300827454,
      0.04268477045288151,
      0.04242810392333577,
      0.04217412483466253,
      0.04192280512323941,
      0.04167411697487699,
      0.0414280327129701,
      0.041184525135623984,
      0.04094356718656089,
      0.04070513211025357,
      0.04046919342683155,
      0.04023572499394596,
      0.04000470092351203,
      0.03977609554423146,
      0.039549883565192644,
      0.039326039919566014,
      0.03910453979071245,
      0.03888535866150691,
      0.038668472148231825,
      0.03845385610583429,
      0.038241486829064794,
      0.03803134085487522,
      0.03782339479419171,
      0.03761762566677467,
      0.03741401062982079,
      0.03721252714305937,
      0.03701315284251734,
      0.03681586564059401,
      0.036620643661806944,
      0.03642746519534027,
      0.03623630890274536,
      0.03604714466295855,
      0.03585993024208282,
      0.03567462793537042,
      0.03549120546058265,
      0.03530963449595734,
      0.035129889612075,
      0.034951947555445145,
      0.03477578670902536,
      0.03460138657188738,
      0.03442872769495781,
      0.034257791347171815,
      0.03408855933724749,
      0.0339210139679538
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786270726101847,
      10.570280643134243,
      10.345777672949147,
      10.115333464528026,
      9.881261954550387,
      9.645589469923513,
      9.410104158241742,
      9.176350948131201,
      8.945659994376653,
      8.719128995719288,
      8.497615424740399,
      8.281731690088684,
      8.071852023869997,
      7.868130822074795,
      7.670529844915976,
      7.4788514883750326,
      7.292771513391218,
      7.111872084580988,
      6.935673343303961,
      6.763661733207802,
      6.595314564744793,
      6.430120735963017,
      6.267597814472189,
      6.107305835551396,
      5.948857843442025,
      5.791923367933824,
      5.6362332056641735,
      5.481585388721714,
      5.327849792780701,
      5.174967071099425,
      5.022943558359396,
      4.871859622223807,
      4.721856384672633,
      4.573130983428886,
      4.425941776422054,
      4.280599135058335,
      4.13745438962934,
      3.9968876538137144,
      3.859295698939969,
      3.7250801055990483,
      3.5946410682215237,
      3.468359229654383,
      3.3465779336708863,
      3.229595800114586,
      3.1176611734600703,
      3.0109662983431233,
      2.9096510970458485,
      2.8138060159704184,
      2.723464981094727,
      2.638605878667882,
      2.5591647649502436,
      2.485034404577167,
      2.4160511340250164,
      2.3519895961729755,
      2.292577075571582,
      2.237506718222225,
      2.186437912061065,
      2.138993453553709,
      2.0947635151468824,
      2.053351122550214,
      2.014393118816594,
      1.9775232998384644,
      1.9424296472084108,
      1.908868314633586,
      1.8766478619526819,
      1.8456142495370833,
      1.8156430688780023,
      1.786628453028248,
      1.7584822741566586,
      1.7311339232992966,
      1.7045244982274017,
      1.678605089204959,
      1.6533346820541386,
      1.6286781739970733,
      1.6046047537677088,
      1.581087110484388,
      1.5581008027537837,
      1.5356236827582002,
      1.5136354668279135,
      1.4921174157566242,
      1.471052091447347,
      1.4504231352037131,
      1.4302147654288924,
      1.4104119442594485,
      1.391000609239398,
      1.3719675676259626,
      1.3533009435317704,
      1.3349897761863954,
      1.317023411783162,
      1.299391535243518,
      1.282084184887064,
      1.2650917581007222,
      1.2484050099755257,
      1.2320150472738576,
      1.2159133192643656,
      1.2000916063871059,
      1.1845420465593748,
      1.1692574987425595,
      1.1542312600260176,
      1.1394567172298171,
      1.1249276816580223,
      1.110639088663206,
      1.0965858820936318,
      1.0827628310458268,
      1.069164639988226,
      1.055786024540838,
      1.042621762509573,
      1.029666727508029,
      1.0169159108497643,
      1.0043644352914276,
      0.9920075624108543,
      0.9798406956494684,
      0.96785938052549,
      0.9560593037222272,
      0.9444362901547538,
      0.9329862992981885,
      0.921705421192021,
      0.9105898721218987,
      0.8996359901313012,
      0.8888402307132882,
      0.8781991622167549,
      0.8677094614652848,
      0.8573679098284455,
      0.8471713887129463,
      0.8371168760828372,
      0.8272017702743755,
      0.8174239215645727,
      0.8077810973287215,
      0.7982709784025435,
      0.7888912069803401,
      0.7796395169587446,
      0.7705136941633015,
      0.7615114548214446,
      0.7526304956953979,
      0.7438685613409645,
      0.7352234474865018,
      0.7266930024911449,
      0.7182751279979304,
      0.709967778090934,
      0.701768958907838,
      0.6936767278342794,
      0.6856891916851077,
      0.6778045056142213,
      0.6700208718502746,
      0.6623365382697001,
      0.6547497966145033,
      0.6472591977503344,
      0.6398641888013573,
      0.6325641944410361,
      0.6253583371458258,
      0.6182455404121464,
      0.6112246007977449,
      0.6042942371060849,
      0.5974531242479648,
      0.5906999166207493,
      0.5840332639080963,
      0.5774518221050671,
      0.5709542603697331,
      0.564539266021009,
      0.5582055475014386,
      0.5519518361879461,
      0.5457768872413357,
      0.539679480292678,
      0.5336584195688365,
      0.5277125336166807,
      0.5218406749625091,
      0.5160417199141002,
      0.5103145679774278,
      0.5046581408907879,
      0.4990713826019255,
      0.4935532587171122,
      0.48810275565461575,
      0.48271888006394426,
      0.4774006584115365,
      0.4721471365831055,
      0.4669573790221044,
      0.4618304686010535,
      0.4567655060076952,
      0.4517616090805045,
      0.4468179123483093,
      0.44193356690404323,
      0.43710773979984735,
      0.4323396135511533,
      0.4276283857753575,
      0.422973268941457,
      0.41837348987656375,
      0.4138282893095396,
      0.40933692173306335,
      0.40489865484755627,
      0.4005127694783895,
      0.39617855902666194,
      0.3918953291149453,
      0.38766239748020037,
      0.3834790936824373,
      0.37934475873186624,
      0.3752587449406011,
      0.37122041551636126,
      0.3672291443054546,
      0.3632843156349628,
      0.35938532395000605,
      0.35553147135091534,
      0.3517218994875083,
      0.3479558144579361,
      0.3442325036699055,
      0.34055131402006866,
      0.33691163640234545,
      0.333312895193134,
      0.32975454041174695,
      0.3262360423386608,
      0.322756887516386,
      0.31931657627301996,
      0.31591462069143234,
      0.3125505430681235,
      0.3092238749467075,
      0.30593415639208527,
      0.3026809351599792,
      0.29946376647243256,
      0.29628221266062116,
      0.2931358430185813,
      0.29002435339198934,
      0.28694762211047703,
      0.2839054697823441,
      0.28089764584953153,
      0.27792385170481887,
      0.27498375659216195,
      0.27207700884325053,
      0.2692032440188322,
      0.2663620902649659,
      0.26355317199942285,
      0.26077611278163154,
      0.2580305593012671,
      0.2553162729606616,
      0.2526330786985195,
      0.24998075486321938,
      0.2473590450934331,
      0.24476766319635357,
      0.24220630014404204,
      0.23967463224403912,
      0.23717232706865451,
      0.2346990371589683,
      0.23225436327226678,
      0.22983790373620147,
      0.22744927883812463,
      0.2250881257935182,
      0.2227540949036788,
      0.22044684677243997,
      0.21816605072451112,
      0.2159113832361812,
      0.213682527149837,
      0.21147917099380373,
      0.209301008317356,
      0.20714773754694465,
      0.2050190614604288,
      0.2029146870912662,
      0.20083432564309267,
      0.19877769214708943,
      0.19674450552319572,
      0.1947344884339947,
      0.1927473555133512,
      0.19078278159704515,
      0.18884044948778922,
      0.18692006186738697,
      0.1850213363181144,
      0.18314400183455998,
      0.18128779648189103,
      0.17945246550449326,
      0.17763776023427405,
      0.17584343705649327,
      0.1740692568242695,
      0.17231498431182554,
      0.17058042965401124,
      0.16886557669088978,
      0.16717040504847938,
      0.1654948298089406,
      0.16383872186257523,
      0.16220192185688057,
      0.16058425012732758,
      0.1589855136529662,
      0.15740551091012525,
      0.1558440365307634,
      0.15430089317053838,
      0.152775884748964,
      0.15126881037368828,
      0.1497794665950874,
      0.14830764887858452,
      0.1468531527589261,
      0.14541577462381594,
      0.14399531215526448,
      0.14259156469119033,
      0.14120433343897254,
      0.13983342190441747,
      0.13847863558326998,
      0.13713978214903413,
      0.13581667160253222,
      0.13450911621270398,
      0.1332169305094287,
      0.13193993123885178,
      0.13067793739594843,
      0.12943077025784824,
      0.12819825321502892,
      0.12698021191457112,
      0.12577647408622644,
      0.12458686954142409,
      0.12341123018475207,
      0.122249390109372,
      0.12110118532414173,
      0.119966453875408,
      0.11884503579095078,
      0.11773677308173808,
      0.11664150975030714,
      0.1155590915897036,
      0.11448936628761044,
      0.11343218346680917,
      0.11238739453507503,
      0.11135485273230956,
      0.11033441311378833,
      0.10932593245093973,
      0.1083292691885673,
      0.10734428360546021,
      0.10637081547816316,
      0.10540865537815217,
      0.10445760744702492,
      0.10351749742324239,
      0.10258816675053167,
      0.1016694683430717,
      0.10076126375592058,
      0.09986341898380338,
      0.09897575962234292,
      0.09809809369146726,
      0.09723025410194976,
      0.09637210504814,
      0.09552356461553738,
      0.09468455326516526,
      0.09385498367074531,
      0.09303476323788791,
      0.09222379599804266,
      0.09142198406933422,
      0.09062922845442112,
      0.08984540458756189,
      0.08907035517546298,
      0.0883039360573232,
      0.08754601810563002,
      0.08679648337221908,
      0.08605522202125263,
      0.08532213036888946,
      0.0845971094934512,
      0.08388006395287023,
      0.08317090119942863,
      0.08246953104355521,
      0.08177586519028833,
      0.08108981689718298,
      0.0804113009183128,
      0.0797402332626504,
      0.07907653120240986,
      0.07842011304092132,
      0.07777089813585096,
      0.07712880678299819,
      0.07649376029462153,
      0.07586568094466094,
      0.07524449241982456,
      0.07463012246155443,
      0.07402249994145298,
      0.0734215534048631,
      0.07282721122149757,
      0.07223940211732043,
      0.07165805499810338,
      0.07108309921584659,
      0.07051446476983182,
      0.06995208229088593,
      0.06939588301185544,
      0.06884579882958271,
      0.06830176237859374,
      0.06776370707294417,
      0.0672315670171908,
      0.0667052769804714,
      0.06618477244943645,
      0.06566998965198663,
      0.06516086545663674,
      0.06465733745889932,
      0.06415934401613343,
      0.06366682406917877,
      0.06317971721734929,
      0.06269796375460639,
      0.06222150468303544,
      0.06175028162065786,
      0.06128423683898506,
      0.060823313325246854,
      0.06036745462153373,
      0.0599166049141787,
      0.059470709039704556,
      0.05902971243907937,
      0.058593561101707305,
      0.058162201622743485,
      0.05773558128498311,
      0.057313647815768774,
      0.05689634964192602,
      0.05648363570493347,
      0.05607545550745279,
      0.05567175914916597,
      0.05527249716103357,
      0.05487762075505385,
      0.05448708172033563,
      0.05410083227044302,
      0.053718817126379596,
      0.053340950902059016,
      0.0529671507065422,
      0.052597345464535324,
      0.05223147274496241,
      0.051869476408880316,
      0.05151130507740878,
      0.051156910827835786,
      0.050806248418448385,
      0.05045927464795039,
      0.050115947862667196,
      0.04977622766070356,
      0.04944007460398076,
      0.04910745015038219,
      0.048778316404940646,
      0.048452636137404886,
      0.04813037263392805,
      0.04781148974154987,
      0.04749595171763144,
      0.04718372322077347,
      0.04687476940841363,
      0.04656905579439981,
      0.04626654825764764,
      0.04596721313793854,
      0.04567101703135312,
      0.04537792698754168,
      0.04508791033979022,
      0.04480093481270743,
      0.04451696840590496,
      0.04423597953934515,
      0.043957936901296506,
      0.043682809625112666,
      0.043410567095497996,
      0.04314117904841765,
      0.0428746154463771,
      0.04261084664758425,
      0.04234984332168432,
      0.042091576491166384,
      0.04183601739253047,
      0.04158313756122696,
      0.04133290895251473,
      0.041085303672780245,
      0.04084029422052196,
      0.0405978533467946,
      0.04035795406336996,
      0.04012056971850466,
      0.03988567390859819,
      0.03965324052756942,
      0.03942324372527726,
      0.0391956578954916,
      0.038970457721889326,
      0.03874761822556585,
      0.03852711464179339,
      0.038308922437576366,
      0.03809301735573998,
      0.03787937541861074,
      0.03766797293599218,
      0.03745878634563452,
      0.03725179239770642,
      0.03704696812121435,
      0.03684429076907955,
      0.036643737764010476,
      0.03644528681692546,
      0.03624891593517289,
      0.036054603275906094,
      0.03586232716564253,
      0.035672066343106996,
      0.0354837996309409,
      0.03529750611685614,
      0.035113165106773946,
      0.03493075615825805,
      0.03475025161143897,
      0.03457161133461344,
      0.03439479895189962,
      0.034219783224915507,
      0.0340465368907198,
      0.033875035470480146,
      0.033705256693552205,
      0.03353717972956049,
      0.03337078507529094
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786258046518219,
      10.57023918919007,
      10.345695832031657,
      10.115203516080605,
      9.881079206585891,
      9.64535127551098,
      9.40980970392907,
      9.176000693298437,
      8.945255364341596,
      8.718671871817406,
      8.497107834546823,
      8.28117561300515,
      8.071249235706437,
      7.867482787332099,
      7.669837649598145,
      7.478115817670624,
      7.291992677454289,
      7.111050063317405,
      6.934807851860891,
      6.762752304968942,
      6.594360642830062,
      6.429121772772657,
      6.2665533711860695,
      6.1062156804742065,
      5.947721918480269,
      5.79074177087146,
      5.635006705673181,
      5.480315440167694,
      5.326538453695608,
      5.173617225897046,
      5.02155883579635,
      4.870444310495225,
      4.72041521756917,
      4.571669236907737,
      4.424465310696583,
      4.2791142997107725,
      4.1359679031853025,
      3.9954064656431187,
      3.8578268683672063,
      3.72363119177481,
      3.5932198877772583,
      3.46697302822344,
      3.3452332688980597,
      3.2282984480848906,
      3.1164158810418607,
      3.009776576145874,
      2.9085195961457315,
      2.812734425941188,
      2.722453934203837,
      2.6376553335353905,
      2.5582740645066315,
      2.4842016705512693,
      2.4152730959895963,
      2.3512616841357867,
      2.2918938814238663,
      2.2368623190801724,
      2.185826130925862,
      2.138407829653642,
      2.0941974808416943,
      2.052798901346149,
      2.0138491678959407,
      1.9769825069688374,
      1.9418881313860406,
      1.9083231805031535,
      1.8760969885282786,
      1.8450561362309508,
      1.8150765715718769,
      1.786052649335725,
      1.7578965421752981,
      1.730537746116093,
      1.7039175154089128,
      1.6779870992491241,
      1.6527055978404666,
      1.6280379329044217,
      1.6039533122271543,
      1.580424494348013,
      1.5574270863329733,
      1.5349389735079604,
      1.5129398954886335,
      1.4914111272305859,
      1.4703352401765402,
      1.4496959164311802,
      1.4294774308403948,
      1.409664718588676,
      1.3902436967740541,
      1.3712011723034299,
      1.35252528101992,
      1.3342050410186024,
      1.316229782439514,
      1.2985891773919698,
      1.2812732544088368,
      1.2642724030832362,
      1.2475773717206535,
      1.2311792615394874,
      1.2150695172280577,
      1.1992399155334705,
      1.1836826205829545,
      1.1683905322194852,
      1.1533569225315323,
      1.1385751595969078,
      1.124039100888061,
      1.1097436805107854,
      1.095683814649842,
      1.081854252586151,
      1.0682496840622366,
      1.054864813324108,
      1.041694409640965,
      1.0287333402621315,
      1.0159765918491248,
      1.0034192833023776,
      0.991056673189978,
      0.978884162178923,
      0.9668972938078363,
      0.9550917526594047,
      0.9434633620365632,
      0.9320080799342236,
      0.9207219949914078,
      0.9096013223757151,
      0.8986423991917458,
      0.8878416798156787,
      0.8771957314523914,
      0.8667012299549561,
      0.8563549556903918,
      0.8461537892312805,
      0.8360947710954203,
      0.8261755113587931,
      0.8163938237491415,
      0.8067473979693977,
      0.7972338607076106,
      0.7878508164793177,
      0.7785961389565492,
      0.7694676150542342,
      0.7604628874134545,
      0.7515796029666832,
      0.7428154717918534,
      0.7341682655348798,
      0.7256358155406093,
      0.7172160109855792,
      0.7089067976131872,
      0.7007061756372498,
      0.6926121977173455,
      0.6846229675530169,
      0.6767366381419393,
      0.6689514098920836,
      0.6612655291833981,
      0.6536772868799972,
      0.6461855211929591,
      0.6387897710376492,
      0.6314893393480919,
      0.6242832637665988,
      0.6171704091843588,
      0.6101495310246052,
      0.6032193194870923,
      0.5963784295739409,
      0.589625501677622,
      0.5829591759307559,
      0.5763781015140731,
      0.5698809427923485,
      0.5634663837042432,
      0.5571331303762074,
      0.5508799124098582,
      0.5447054837436754,
      0.5386086230233621,
      0.5325881339209735,
      0.5266428444434651,
      0.5207716066851518,
      0.514973296418871,
      0.5092468126821548,
      0.5035910771601918,
      0.4980050335205319,
      0.49248764708419845,
      0.4870379039471489,
      0.48165481046904346,
      0.47633739295407035,
      0.4710846970183244,
      0.4658957870274331,
      0.4607697455809092,
      0.4557056729429501,
      0.45070268667698027,
      0.44575992123018243,
      0.4408765273189253,
      0.4360516716995192,
      0.4312845367684549,
      0.42657431984004457,
      0.42192023296697606,
      0.41732150274623697,
      0.41277736970521706,
      0.4082870879808428,
      0.40384992498739863,
      0.3994651611505744,
      0.3951320895308443,
      0.39085001569354844,
      0.3866182571906479,
      0.3824361433161567,
      0.37830301472877603,
      0.3742182234007466,
      0.37018113223212235,
      0.366191114789661,
      0.36224755504292966,
      0.3583498471496685,
      0.35449721549213004,
      0.3506887922037649,
      0.34692381053061816,
      0.34320157672069196,
      0.33952145078794943,
      0.3358828330117091,
      0.33228515396218844,
      0.328727867965914,
      0.32521044825876416,
      0.3217323835932706,
      0.3182931755898605,
      0.31489233700109254,
      0.31152939055234397,
      0.30820386800034183,
      0.3049153093548788,
      0.3016632624661847,
      0.29844728259486253,
      0.29526693187511005,
      0.2921217793054716,
      0.2890115815998026,
      0.28593622456783,
      0.2828955070771248,
      0.2798891635390949,
      0.27691688438568535,
      0.27397833115176595,
      0.27107314677769023,
      0.2682009628509546,
      0.2653614045899339,
      0.2625540943904467,
      0.25977865415182466,
      0.2570347666134849,
      0.25432224400015385,
      0.25164089415283325,
      0.2489904763514892,
      0.24637071904117405,
      0.24378132261640537,
      0.24122196855339556,
      0.23869232644905344,
      0.2361920589950869,
      0.23372080025869277,
      0.23127813975419345,
      0.22886368150110048,
      0.2264770497314085,
      0.2241178843180609,
      0.22178583729767293,
      0.219480570563428,
      0.2172017542486266,
      0.2149490654012932,
      0.21272218717377317,
      0.2105208082829493,
      0.2083446223573667,
      0.20619332769108817,
      0.20406662705960557,
      0.20196422748323073,
      0.19988583992411332,
      0.19783117941283643,
      0.1957999647009838,
      0.19379191833015416,
      0.19180673993755387,
      0.18984410067223803,
      0.1879036889831217,
      0.18598521147346447,
      0.18408838834386906,
      0.18221295051114944,
      0.18035863728595755,
      0.1785251948161324,
      0.1767123749594985,
      0.17491993448015125,
      0.17314763439993175,
      0.17139528563494918,
      0.16966287654990328,
      0.16795038249672292,
      0.16625771474848272,
      0.1645847405449927,
      0.1629312972082182,
      0.16129720183998672,
      0.1596822581908082,
      0.1580862616558278,
      0.1565090059833539,
      0.15495029392289672,
      0.15340992514060756,
      0.15188769485028158,
      0.1503833961432259,
      0.14889682130898624,
      0.14742776285792752,
      0.14597601434577148,
      0.14454137074806314,
      0.14312362877470877,
      0.14172258708744778,
      0.1403380464785,
      0.13896981004284492,
      0.13761768303962887,
      0.13628147309733213,
      0.13496099011477075,
      0.13365604636673836,
      0.13236645633692107,
      0.1310920368318728,
      0.1298326068352168,
      0.12858798758509885,
      0.12735800257657964,
      0.12614247738029932,
      0.12494123979901448,
      0.12375411982791885,
      0.12258094940616082,
      0.12142156251799209,
      0.1202757953136781,
      0.11914348586255742,
      0.11802447426218013,
      0.11691860258268982,
      0.11582571479250005,
      0.11474565681759062,
      0.11367827638503424,
      0.11262342317779174,
      0.1115809486846306,
      0.11055070612012975,
      0.1095325505410918,
      0.10852633882971874,
      0.10753192948567762,
      0.1065491828694408,
      0.1055779148163619,
      0.10461791295359145,
      0.1036689900223627,
      0.10273097786055364,
      0.1018037222279529,
      0.10088707914760008,
      0.09998091229176523,
      0.0990850807335401,
      0.09819939878307697,
      0.09732370362241193,
      0.09645788933277237,
      0.09560185509698564,
      0.09475549774495946,
      0.09391871281264214,
      0.09309139537902973,
      0.09227344041139765,
      0.09146474322412865,
      0.09066519972875184,
      0.08987470657150122,
      0.08909313397263297,
      0.0883203224144722,
      0.08755612726418788,
      0.0868004190767708,
      0.08605307964402385,
      0.08531399908570686,
      0.08458307365332082,
      0.08386020432089443,
      0.08314529570247403,
      0.08243825525353979,
      0.08173899285907467,
      0.08104742018851507,
      0.08036345065924329,
      0.07968699901815424,
      0.07901798145315511,
      0.07835631525208098,
      0.07770191876145921,
      0.07705471147343936,
      0.076414613754153,
      0.07578154700494735,
      0.0751554334551396,
      0.07453619646361083,
      0.07392376335290825,
      0.07331806336769592,
      0.07271902535725626,
      0.07212657791812997,
      0.07154064984075299,
      0.07096117015588242,
      0.07038806839186552,
      0.0698212746396496,
      0.06926071961983998,
      0.068706334653626,
      0.06815805178849837,
      0.0676158037677041,
      0.0670795239928229,
      0.06654914659683552,
      0.06602460646594197,
      0.0655058391689375,
      0.06499278098118716,
      0.06448536888588977,
      0.06398354050492576,
      0.06348723423894177,
      0.06299638916204728,
      0.06251094495418306,
      0.06203084195042496,
      0.06155602122752008,
      0.061086424508965835,
      0.0606219941741879,
      0.060162673197164826,
      0.059708405166800274,
      0.059259134322237714,
      0.05881480559402596,
      0.05837536445380526,
      0.05794075706819389,
      0.057510930096035466,
      0.05708583083418267,
      0.05666540708877396,
      0.05624960735418172,
      0.055838380641169735,
      0.055431676571200225,
      0.055029445279270374,
      0.05463163742648806,
      0.054238204287936694,
      0.05384909758214522,
      0.05346426966816904,
      0.053083669008004104,
      0.05270721583817525,
      0.052334824770700276,
      0.05196642307229789,
      0.051601947090805594,
      0.051241339866832665,
      0.05088454939784822,
      0.05053152738607232,
      0.05018222826453994,
      0.049836608577516206,
      0.049494626534482965,
      0.049156241675327214,
      0.048821414614183385,
      0.048490106764919105,
      0.04816228026073431,
      0.04783789781596093,
      0.0475169227842601,
      0.04719931896471932,
      0.04688505073750363,
      0.04657408287378321,
      0.046266380500307326,
      0.04596190921760405,
      0.045660634984865264,
      0.04536252408560437,
      0.04506754321565435,
      0.04477565950253949,
      0.044486840367618054,
      0.04420105347205548,
      0.04391826694993787,
      0.04363844929338014,
      0.04336156930264359,
      0.04308759603098077,
      0.04281649904552455,
      0.04254824799662529,
      0.04228281301464077,
      0.0420201644658392,
      0.04176027306254061,
      0.041503109818667644,
      0.041248646092254024,
      0.04099685351482809,
      0.040747704004668275,
      0.040501169793670536,
      0.04025722336022568,
      0.040015837547465315,
      0.039776985409286016,
      0.039540640318215727,
      0.03930677594709363,
      0.03907536626469044,
      0.03884638543390628,
      0.0386198079143131,
      0.038395608483166366,
      0.038173762139866556,
      0.03795424421798951,
      0.03773703023807369,
      0.0375220960058631,
      0.03730941754294553,
      0.03709897115523161,
      0.036890733407065744,
      0.036684681016758425,
      0.036480791067629276,
      0.03627904089289584,
      0.03607940798380606,
      0.03588187007643222,
      0.03568640516635461,
      0.03549299152415424,
      0.03530160767421999,
      0.03511223227869465,
      0.03492484415897634,
      0.03473942252770443,
      0.03455594667513152,
      0.03437439620928129,
      0.03419475087754378,
      0.03401699062732665,
      0.03384109568331117,
      0.03366704652411257,
      0.03349482067785861,
      0.033324382054109196,
      0.03315569404432107,
      0.03298872561331553,
      0.032823449679465426
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786245464281365,
      10.570198065632798,
      10.345614671197627,
      10.115074666015616,
      9.880898041850312,
      9.645115193634485,
      9.409517921445875,
      9.17565368746869,
      8.944854544716616,
      8.718219125583264,
      8.496605191293726,
      8.280625049713237,
      8.070652524099247,
      7.866841387535339,
      7.66915264615661,
      7.477387896130464,
      7.291222150335913,
      7.110236914010894,
      6.933951801884598,
      6.7618528956342,
      6.593417328788977,
      6.4281340166799925,
      6.265520743828241,
      6.105137959467529,
      5.9465990542387885,
      5.789573866401687,
      5.633794532732588,
      5.479060453017129,
      5.325242703792861,
      5.172283587471334,
      5.020190920490009,
      4.8690463814624385,
      4.718991978546597,
      4.570225926574259,
      4.423007742519805,
      4.277648767277128,
      4.1345010614240305,
      3.9939451930288286,
      3.8563781481300254,
      3.722202500956307,
      3.591818954866125,
      3.4656070115878532,
      3.343908641239449,
      3.2270209048495904,
      3.1151900950956897,
      3.008605992522677,
      2.9074068080875066,
      2.811681073039357,
      2.7214606071862226,
      2.636721957420933,
      2.5573999568643506,
      2.4833849394549032,
      2.4145104705770883,
      2.3505486049051605,
      2.291224959741366,
      2.236231663100565,
      2.185227601779027,
      2.137835008208607,
      2.0936438440759626,
      2.052258713559266,
      2.01331693133837,
      1.9764531549172268,
      1.941357818627014,
      1.9077890401228539,
      1.8755569035195594,
      1.8445086170008684,
      1.8145204999308362,
      1.7854871260771499,
      1.757320970976757,
      1.7299516294169197,
      1.7033204992780415,
      1.6773789877363865,
      1.652086308584372,
      1.6274073858469158,
      1.6033114735670448,
      1.579771397726259,
      1.5567628124434407,
      1.534263635561296,
      1.512253627949163,
      1.490714079409926,
      1.4696275702615904,
      1.4489777884382808,
      1.4287490810266439,
      1.40892639094334,
      1.3894956093732387,
      1.3704435400839194,
      1.3517583270809759,
      1.3334289655216278,
      1.3154447684875366,
      1.29779539445943,
      1.2804708612003177,
      1.2634615499191566,
      1.2467582020913146,
      1.2303519130284917,
      1.2142341224124387,
      1.1983966027568504,
      1.1828315447614384,
      1.1675318890443183,
      1.1524908821178466,
      1.137701873698017,
      1.123158766727363,
      1.1088564939663923,
      1.0947899442850797,
      1.0809538465721193,
      1.0673428759688965,
      1.05395172602172,
      1.0407751574675574,
      1.0278080313907654,
      1.0150453296367314,
      1.002482167077825,
      0.9901137989401626,
      0.9779356233362875,
      0.9659431817322817,
      0.9541321572224372,
      0.9424983710866278,
      0.9310377800330073,
      0.9197464711828023,
      0.9086206585644537,
      0.8976566778086872,
      0.8868509822439923,
      0.876200138248605,
      0.8657008205597945,
      0.8553498083912461,
      0.8451439815800641,
      0.8350805385270881,
      0.8251572267004629,
      0.815371764466138,
      0.8057217755501745,
      0.7962048403026533,
      0.7868186341283528,
      0.7775611272281878,
      0.7684300055511918,
      0.7594228543339807,
      0.7505372829891271,
      0.7417709751782829,
      0.7331216838263728,
      0.7245872269570987,
      0.7161654846381952,
      0.7078543957767514,
      0.69965195584499,
      0.6915562141234488,
      0.6835652718207734,
      0.6756772800641092,
      0.6678904379234487,
      0.6602029909121531,
      0.6526132629829312,
      0.6451204036769289,
      0.6377239550120117,
      0.6304231074790243,
      0.6232168208404166,
      0.6161039055416393,
      0.6090830792844973,
      0.6021530056793264,
      0.5953123212308564,
      0.5885596535718137,
      0.5818936337041958,
      0.5753129045845989,
      0.5688161262407531,
      0.562401979605495,
      0.5560691684783716,
      0.5498164206960453,
      0.5436424892106029,
      0.5375461517627916,
      0.5315262112419656,
      0.525581495214602,
      0.5197108553635803,
      0.5139131672238877,
      0.5081873294062529,
      0.5025322631500574,
      0.4969469121087523,
      0.49143024120082124,
      0.48598123625869516,
      0.48059890348520673,
      0.475282269077876,
      0.4700303782850465,
      0.4648422950660377,
      0.4597171017215842,
      0.4546538983440979,
      0.4496518022940122,
      0.44470994770249983,
      0.43982748510542047,
      0.43500358100548436,
      0.4302374173142094,
      0.425528191183304,
      0.42087511448948717,
      0.4162774134832032,
      0.4117343283471763,
      0.40724511297208976,
      0.4028090345687556,
      0.39842537327008687,
      0.39409342185196783,
      0.38981248549635983,
      0.3855818813190828,
      0.3814009383999226,
      0.3772689971720464,
      0.37318540941755146,
      0.3691495377252566,
      0.36516075532650893,
      0.3612184459544835,
      0.3573219636219267,
      0.3534704743884708,
      0.3496631408861335,
      0.3458992175234608,
      0.3421780253859237,
      0.3384989349462759,
      0.3348613534008521,
      0.3312647163586402,
      0.32770848160256033,
      0.3241921244943252,
      0.3207151351089611,
      0.317277016122671,
      0.3138772809261333,
      0.3105154524908783,
      0.30719106269357,
      0.3039036516381212,
      0.30065276702482074,
      0.2974379637561872,
      0.2942588037909635,
      0.29111488033029453,
      0.288005999361152,
      0.28493202941353196,
      0.2818927513781392,
      0.2788878867141829,
      0.2759171169225778,
      0.2729800970664453,
      0.27007646542467767,
      0.26720585016751464,
      0.26436787408382706,
      0.261562157773661,
      0.2587883305362905,
      0.2560461341882977,
      0.25333539876334443,
      0.2506559057176084,
      0.24800739890476237,
      0.24538959194453738,
      0.24280217390296924,
      0.24024481821440394,
      0.23771718868367203,
      0.23521894410614133,
      0.23274969584760194,
      0.23030902882396811,
      0.2278965525192885,
      0.22551189493635668,
      0.22315469847119115,
      0.22082461697799752,
      0.21852131353125645,
      0.2162444590416489,
      0.2139937310086906,
      0.21176881287638935,
      0.2095693934804069,
      0.2073951664838884,
      0.20524583033385124,
      0.20312108766932846,
      0.20102064538875636,
      0.19894421440901966,
      0.19689150960002688,
      0.19486224946134909,
      0.19285615430728079,
      0.19087290903982604,
      0.18891218483749453,
      0.18697367519175262,
      0.1850570902064721,
      0.18316215258751728,
      0.18128859499960154,
      0.17943615790241735,
      0.17760458820112002,
      0.17579363827395342,
      0.17400306515716296,
      0.17223267901730507,
      0.17048247049258344,
      0.16875241173487926,
      0.16704241085089847,
      0.1653523319245054,
      0.16368200915430337,
      0.16203125650935296,
      0.1603998747349073,
      0.15878765630046754,
      0.15719439576922822,
      0.15561989368936271,
      0.15406394559205122,
      0.1525263430435179,
      0.15100687567645749,
      0.14950533267081836,
      0.1480215035816068,
      0.14655517901357906,
      0.14510615123403292,
      0.1436742143002644,
      0.14225916421715976,
      0.14086079929159298,
      0.1394789200545345,
      0.1381133294128461,
      0.1367638325476241,
      0.13543023694677492,
      0.13411235255966392,
      0.1328099915141838,
      0.13152296838147465,
      0.13025110002884688,
      0.12899420544848167,
      0.12775210580901342,
      0.1265246246543645,
      0.12531158762054048,
      0.12411282261756787,
      0.12292815957345711,
      0.12175743049030668,
      0.1206004695075001,
      0.11945711276196808,
      0.11832719838244996,
      0.1172105664969312,
      0.11610705915764478,
      0.11501652053366673,
      0.11393879653798825,
      0.11287373500156027,
      0.11182118558021213,
      0.11078099975679288,
      0.10975303088801812,
      0.10873713414950109,
      0.10773316641737453,
      0.10674098626372491,
      0.10576044300994851,
      0.10479133406773976,
      0.10383345546547491,
      0.102886626817378,
      0.10195068483399329,
      0.10102547877016253,
      0.10011086711094004,
      0.09920671520201381,
      0.09831290115115178,
      0.0974292897860073,
      0.09655574592919157,
      0.09569214138486992,
      0.09483835326749705,
      0.0939942629171979,
      0.09315975486900409,
      0.0923347164002432,
      0.09151903702475232,
      0.09071260829447757,
      0.08991532349384042,
      0.08912707744253977,
      0.08834773725399271,
      0.08757714252908358,
      0.08681514881055695,
      0.08606162685008892,
      0.08531645860716562,
      0.08457953425157867,
      0.08385075019637551,
      0.08313000750787651,
      0.08241721086779628,
      0.08171226787680146,
      0.08101508838829073,
      0.08032558428976393,
      0.07964366898623851,
      0.07896925737008681,
      0.07830226567213261,
      0.07764261122874815,
      0.07699021248207236,
      0.0763449889398944,
      0.07570686107599196,
      0.07507575030051897,
      0.07445157897248172,
      0.07383427033590108,
      0.07322375120057126,
      0.07261995108817561,
      0.07202279896136511,
      0.07143222366600148,
      0.07084815413685033,
      0.0702705196480529,
      0.06969924984548066,
      0.06913427489170654,
      0.06857552561904631,
      0.06802293342778969,
      0.0674764304344268,
      0.06693594943488605,
      0.0664014239404504,
      0.06587278815897242,
      0.06534997706474692,
      0.06483292626110099,
      0.06432157210323713,
      0.06381585161068044,
      0.06331570254459286,
      0.06282106324286624,
      0.06233187287401996,
      0.06184807132222336,
      0.06136959902408471,
      0.06089639710026803,
      0.06042840728922085,
      0.05996557199461756,
      0.05950783429704703,
      0.05905513790169946,
      0.05860742710729913,
      0.05816464685383667,
      0.05772674275680334,
      0.057293660911557104,
      0.056865348113377075,
      0.05644175171741572,
      0.05602281969798713,
      0.055608500547994114,
      0.05519874334276762,
      0.054793497669027295,
      0.054392713772262485,
      0.05399634246178097,
      0.05360433501784682,
      0.05321664326605497,
      0.052833219640964935,
      0.052454016524145594,
      0.05207896015831188,
      0.05170796257378179,
      0.05134094918247571,
      0.050977855008407104,
      0.05061862218264953,
      0.05026319805456392,
      0.04991153384793824,
      0.04956358364701343,
      0.04921930390598073,
      0.04887865270353905,
      0.04854158947452004,
      0.04820807467358854,
      0.04787806973562861,
      0.04755153677260536,
      0.047228438549800245,
      0.046908738471129745,
      0.04659240046806097,
      0.04627938890033258,
      0.045969668563153356,
      0.045663204645221576,
      0.045359962742443555,
      0.0450599088762762,
      0.044763009427860434,
      0.04446923110221925,
      0.044178541049584706,
      0.043890906778404945,
      0.0436062960952849,
      0.04332467720824697,
      0.04304601860577439,
      0.0427702890833075,
      0.0424974577643455,
      0.042227494177034246,
      0.041960368179697706,
      0.04169604990344342,
      0.04143450975310745,
      0.04117571846029677,
      0.040919647096170304,
      0.04066626710777335,
      0.040415550193856654,
      0.04016746830221706,
      0.03992199366330785,
      0.03967909887878386,
      0.03943875677621219,
      0.03920094055421564,
      0.03896562355978099,
      0.03873277949589094,
      0.03850238238546034,
      0.03827440657460838,
      0.0380488265273195,
      0.03782561701202636,
      0.0376047531045497,
      0.03738621014456218,
      0.037169963744241585,
      0.03695598972452576,
      0.0367442641988408,
      0.03653476347306686,
      0.03632746415633941,
      0.036122343098354444,
      0.03591937743854385,
      0.03571854448161286,
      0.03551982176149129,
      0.035323187128319514,
      0.03512861853439841,
      0.03493609433929553,
      0.034745593046825,
      0.034557093370427366,
      0.034370574315316656,
      0.03418601499757779,
      0.03400339480740102,
      0.0338226934046814,
      0.033643890607455214,
      0.03346696638938109,
      0.033291901068468015,
      0.03311867505176282,
      0.03294726896214744,
      0.03277766372168554,
      0.03260984038455861,
      0.032443780266402565,
      0.03227946484248368
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786232972982893,
      10.570157253649867,
      10.34553415733004,
      10.114946871208167,
      9.880718399925383,
      9.644881140693503,
      9.409228697087052,
      9.175309781887908,
      8.944457331550325,
      8.717770498222091,
      8.496107180926693,
      8.280079634016436,
      8.07006147498938,
      7.866206164579311,
      7.668474331947505,
      7.47666717626191,
      7.2904593390645065,
      7.109431999703113,
      6.93310451357318,
      6.76096278426175,
      6.592483856962003,
      6.427156656880106,
      6.264499077599434,
      6.10407177428588,
      5.945488306965654,
      5.788418664676977,
      5.632595651221155,
      5.477819344974003,
      5.323961415338872,
      5.1709649834895215,
      5.018838596562357,
      4.867664571064801,
      4.717585351826615,
      4.5687996883742485,
      4.421567664189445,
      4.276201092254557,
      4.133052387096527,
      3.992502334126,
      3.8549480295342726,
      3.720792605398863,
      3.590436920676861,
      3.464259907964017,
      3.34260285424419,
      3.2257620476060587,
      3.1139827642056495,
      3.0074535651570904,
      2.906311817091885,
      2.810645105972157,
      2.7204842102582747,
      2.635805019111325,
      2.5565417650631894,
      2.4825835850401305,
      2.4137626779312256,
      2.349849820120156,
      2.2905698082139025,
      2.2356142783649497,
      2.184641877324,
      2.137274562677886,
      2.093102196487603,
      2.0517301675363013,
      2.0127960305794583,
      1.9759348743584537,
      1.9408383467105201,
      1.9072655372770406,
      1.8750272603709224,
      1.8439713521036543,
      1.8139745203813382,
      1.784931554602455,
      1.7567552284269432,
      1.7293752311297177,
      1.702733101004047,
      1.6767804018696442,
      1.651476435918957,
      1.6267861394018264,
      1.6026788360791844,
      1.579127414664554,
      1.556107573717292,
      1.5335972614589821,
      1.5115762592680926,
      1.490025870157432,
      1.4689286819618412,
      1.4482683869092474,
      1.4280294052595697,
      1.4081966891322841,
      1.3887561033680618,
      1.3696944469759513,
      1.3509998721651872,
      1.3326613508230538,
      1.314668177963044,
      1.2970099988351538,
      1.279676820865566,
      1.2626590161785494,
      1.24594731936553,
      1.2295328203739981,
      1.2134069539001135,
      1.197561488284182,
      1.1819886398804236,
      1.1666813900679995,
      1.1516329597578077,
      1.1368366804711771,
      1.1222865001164668,
      1.1079773500009522,
      1.0939040919174612,
      1.0800614349468007,
      1.0664440392386154,
      1.0530465872400825,
      1.0398638317136069,
      1.0268906272636125,
      1.0141219506466843,
      1.0015529131384828,
      0.9891787668944154,
      0.9769949076354489,
      0.964996874250934,
      0.9531803477341707,
      0.9415411479936137,
      0.9300752300783794,
      0.9187786800277069,
      0.9076477104485005,
      0.8966786558707746,
      0.8858679683843944,
      0.8752122131923569,
      0.8647080641215799,
      0.85435229943316,
      0.8441418061048069,
      0.8340740192179859,
      0.8241467055356323,
      0.8143574979013662,
      0.80470396057251,
      0.7951836324511996,
      0.7857942706438562,
      0.7765339388553284,
      0.7674002180708538,
      0.7583906382098158,
      0.7495027722201087,
      0.7407342779078663,
      0.7320828899513969,
      0.7235464138238502,
      0.7151227207901514,
      0.706809743247266,
      0.6986054718398418,
      0.6905079528108865,
      0.6825152849361307,
      0.6746256173996307,
      0.6668371479587798,
      0.6591481211292858,
      0.651557030027753,
      0.6440632700172471,
      0.6366662492849017,
      0.6293650665089668,
      0.6221586172676288,
      0.6150456672113983,
      0.6080249029730803,
      0.6010949665959842,
      0.5942544794953292,
      0.587502058856274,
      0.5808363284106808,
      0.5742559258725948,
      0.5677595076489981,
      0.5613457520193437,
      0.5550133608772763,
      0.5487610608628568,
      0.5425876039464669,
      0.5364917673207702,
      0.5304723532436015,
      0.5245281885321939,
      0.5186581244772079,
      0.5128610363417215,
      0.5071358225266352,
      0.5014814040408421,
      0.4958967240762083,
      0.4903807473604672,
      0.48493245954476644,
      0.479550866552665,
      0.4742349940706121,
      0.46898388715692413,
      0.4637966096925948,
      0.45867224364972536,
      0.4536098887653255,
      0.44860866218909257,
      0.4436676978538484,
      0.4387861460020488,
      0.43396317281879854,
      0.4291979600210763,
      0.4244897044801986,
      0.4198376178289368,
      0.415240925901293,
      0.4106988687692007,
      0.40621070005568316,
      0.40177568661839314,
      0.3973931082486631,
      0.39306225753942725,
      0.388782439339184,
      0.384552970478418,
      0.3803731796423498,
      0.37624240711198714,
      0.3721600042210579,
      0.3681253331905728,
      0.36413776713853263,
      0.36019668950274303,
      0.3563013980548632,
      0.3524510224816764,
      0.3486447543074185,
      0.34488186787257413,
      0.3411616981720535,
      0.33748362522855246,
      0.33384706308966455,
      0.33025145186991034,
      0.3266962524039598,
      0.3231809422324384,
      0.31970501292040865,
      0.31626796785942723,
      0.31286932102987747,
      0.30950859580393153,
      0.3061853240527123,
      0.3028990457335644,
      0.29964930856210203,
      0.29643566728512044,
      0.29325768368490746,
      0.29011498194147584,
      0.28700741353851944,
      0.2839348227922591,
      0.2808969737191085,
      0.277893575676773,
      0.27492430151871544,
      0.27198880031722095,
      0.2690867060261784,
      0.26621764371898265,
      0.2633812337937837,
      0.2605770952061234,
      0.25780488315650707,
      0.2550644006639864,
      0.2523554624668385,
      0.2496778296257115,
      0.24703123119676657,
      0.24441536688613585,
      0.2418299159336073,
      0.23927454474889542,
      0.2367489123008647,
      0.23425266385806126,
      0.23178539340075602,
      0.22934669165612523,
      0.22693617213093475,
      0.22455346570254908,
      0.22219821679535423,
      0.21987008049040385,
      0.217568720812615,
      0.21529380914520313,
      0.21304502336497763,
      0.21082204712159916,
      0.208624569297395,
      0.2064522835692268,
      0.20430488824950147,
      0.20218208590911846,
      0.20008358331610968,
      0.19800909140987177,
      0.19595832483999417,
      0.19393100204857786,
      0.19192683513776607,
      0.18994549720500525,
      0.1879866654068306,
      0.1860500373562829,
      0.18413532611369815,
      0.18224225639035083,
      0.18037056219216863,
      0.17851998491444973,
      0.1766902720461506,
      0.17488117636448838,
      0.17309250566523424,
      0.1713242507993757,
      0.16957638170418934,
      0.1678488039132465,
      0.16614137878754032,
      0.16445393770192615,
      0.1627862918071667,
      0.1611382388804016,
      0.15950956856323595,
      0.15790007601082665,
      0.15630955916537892,
      0.1547378096685396,
      0.15318461547055306,
      0.15164976290678683,
      0.15013303798316646,
      0.14863422728243697,
      0.14715311858455385,
      0.14568950126012814,
      0.14424316669999981,
      0.14281390833048271,
      0.1414015218635712,
      0.1400058052996038,
      0.13862655898786305,
      0.13726358561168242,
      0.13591669038436316,
      0.13458568083344163,
      0.133270366757783,
      0.1319705603826053,
      0.13068607627415163,
      0.12941673126220618,
      0.12816234439547147,
      0.12692273695483683,
      0.125697732531304,
      0.12448715683176184,
      0.12329083768898663,
      0.12210860505951045,
      0.12094029099668434,
      0.11978572971374514,
      0.11864475737407111,
      0.11751721217426846,
      0.11640293430069665,
      0.1153017659371568,
      0.11421355116494687,
      0.11313813597745556,
      0.11207536826327777,
      0.1110250977576664,
      0.10998717602568348,
      0.10896145638184485,
      0.10794779400654297,
      0.10694604585269547,
      0.10595607062242718,
      0.10497769963140405,
      0.10401072065526798,
      0.10305493849096525,
      0.10211017908174494,
      0.10117628360081321,
      0.10025310436176466,
      0.09934053747988188,
      0.09843850827288815,
      0.09754689287762786,
      0.0966655257248779,
      0.09579425330169895,
      0.09493293457661979,
      0.0940814375927739,
      0.0932396372026589,
      0.09240741352865815,
      0.09158465069178483,
      0.09077123610902259,
      0.0899670598092528,
      0.0891720139819311,
      0.08838599274350029,
      0.08760886146835463,
      0.08684045935461526,
      0.08608064242459423,
      0.085329281833694,
      0.08458625974338961,
      0.08385146648342283,
      0.08312479862663712,
      0.08240615745973892,
      0.08169544779688635,
      0.08099257727716679,
      0.08029745595945033,
      0.07960999572878438,
      0.07893011011088558,
      0.07825771409571165,
      0.07759272397947892,
      0.07693505717954172,
      0.07628463226351889,
      0.07564136876960224,
      0.07500518723094605,
      0.07437600911775706,
      0.07375375688779301,
      0.07313835382761896,
      0.07252972617370712,
      0.071927803394729,
      0.07133251484409535,
      0.07074378955791691,
      0.07016155658221603,
      0.06958574532580732,
      0.06901628558009236,
      0.06845310760420283,
      0.06789614229118847,
      0.06734532123802323,
      0.06680057665928242,
      0.06626184136969544,
      0.06572904899510644,
      0.06520213385544757,
      0.0646810309521774,
      0.06416567598373941,
      0.06365600532879133,
      0.06315195616861309,
      0.06265346626909041,
      0.06216047412433443,
      0.06167291895033859,
      0.06119074055430509,
      0.06071387945099824,
      0.06024227690545768,
      0.05977587465095161,
      0.0593146152545468,
      0.05885844182389865,
      0.05840729818733866,
      0.057961128697847156,
      0.057519878357263125,
      0.057083492796454624,
      0.056651918283608646,
      0.05622510158532265,
      0.055802990049133,
      0.05538553173576202,
      0.05497267531585971,
      0.054564369892572455,
      0.05416056511200252,
      0.0537612112917539,
      0.05336625929110049,
      0.0529756604947454,
      0.05258936683339244,
      0.052207330758909085,
      0.05182950517037297,
      0.05145582413040526,
      0.05108620065225363,
      0.050720557684133596,
      0.050358828577489474,
      0.050000954228882115,
      0.04964688105247254,
      0.04929655972181431,
      0.04894994400101129,
      0.048606989947453084,
      0.04826765549575506,
      0.04793189995651608,
      0.04759968374955008,
      0.0472709682527314,
      0.046945715549609,
      0.04662388846267101,
      0.04630545039579782,
      0.045990365191370036,
      0.045678597246847176,
      0.045370111429906816,
      0.04506487297946044,
      0.044762847621287495,
      0.04446400138335049,
      0.04416830073988323,
      0.04387571249960339,
      0.04358620385424388,
      0.043299742282171746,
      0.04301629563771814,
      0.042735832156067195,
      0.042458320392684074,
      0.0421837292436916,
      0.04191202788161594,
      0.041643185876603095,
      0.041377173068075826,
      0.04111395964398185,
      0.040853516091109265,
      0.04059581325153325,
      0.04034082224678733,
      0.04008851452720166,
      0.039838861842944655,
      0.039591836171861024,
      0.03934740987702613,
      0.03910555556689254,
      0.03886624612798085,
      0.03862945475588819,
      0.03839515490434481,
      0.038163320435946786,
      0.037933925373526925,
      0.03770694396717097,
      0.03748235074618382,
      0.03726012061027647,
      0.037040228632657095,
      0.03682265022035125,
      0.036607361020938305,
      0.03639433688467251,
      0.03618355395117549,
      0.03597498864208109,
      0.035768617603661734,
      0.03556441770437365,
      0.035362366163984464,
      0.035162440327550455,
      0.034964617821676924,
      0.03476887653368894,
      0.034575194544211915,
      0.034383550098578616,
      0.034193921750649905,
      0.03400628833614247,
      0.03382062881333336,
      0.03363692237167411,
      0.033455148502861125,
      0.03327528684735058,
      0.03309731732469851,
      0.03292121997208505,
      0.032746975006107314,
      0.032574562952083816,
      0.03240396460908431,
      0.032235160838031005,
      0.03206813273469408,
      0.0319028616003036,
      0.03173932896048515
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786220565298983,
      10.570116724870308,
      10.345454229007748,
      10.114820042619728,
      9.880540158426573,
      9.644648956531501,
      9.40894183239117,
      9.174968741148406,
      8.944063495587592,
      8.717325762330772,
      8.495613574568205,
      8.279539129508583,
      8.06947583783497,
      7.865576849734845,
      7.667802419424116,
      7.4759533512378,
      7.289703917298025,
      7.108634972461201,
      6.932265613738821,
      6.760081568550108,
      6.5915597970485305,
      6.426189234722644,
      6.263487883844635,
      6.103016605831537,
      5.944389127795558,
      5.787275586211777,
      5.631409450182502,
      5.476591473942101,
      5.3226939138794265,
      5.169660706522867,
      5.017501124931745,
      4.866298071558624,
      4.716194427915629,
      4.567389519533782,
      4.420143987672815,
      4.274770109216171,
      4.131620645143671,
      3.991076591925288,
      3.8535351722914393,
      3.719400071930157,
      3.5890722732310762,
      3.4629301402065136,
      3.341314278883842,
      3.2245202078355555,
      3.1127921917287353,
      3.006317579384513,
      2.9052329010222233,
      2.8096248033188376,
      2.71952303099048,
      2.6349028224878728,
      2.5556978164658504,
      2.48179596294133,
      2.413028105998232,
      2.3491637528353215,
      2.28992688694026,
      2.2350086630509765,
      2.1840674949333576,
      2.1367250096231354,
      2.0925709847049845,
      2.0512116564623724,
      2.012284822059168,
      1.9754260044226315,
      1.9403280522134974,
      1.906751015935713,
      1.8745064322570282,
      1.8434427595655005,
      1.8134370904666557,
      1.7843844287601842,
      1.756197841572145,
      1.7288071087637125,
      1.7021539067691382,
      1.6761899541948353,
      1.650874623463032,
      1.6261728693654451,
      1.6020541019901315,
      1.5784912714031076,
      1.5554601179733663,
      1.5329386191692012,
      1.5109065759757243,
      1.4893453032837236,
      1.4682373961091977,
      1.4475665505166753,
      1.4273172605319198,
      1.4074744872392269,
      1.3880240682713112,
      1.3689527972543074,
      1.3502488342673435,
      1.3319011277834643,
      1.3138989552515439,
      1.2962319479100455,
      1.2788901022073782,
      1.2618637822078547,
      1.2451437157168446,
      1.2287209865396072,
      1.2125870245136319,
      1.19673359382002,
      1.1811529551955213,
      1.1658381058704612,
      1.1507822434004913,
      1.1359786818672077,
      1.1214214148359833,
      1.1071053733495353,
      1.0930253920816302,
      1.079176160253289,
      1.0655523237747413,
      1.052148554127558,
      1.0389595959200508,
      1.025980297648628,
      1.0132056311421733,
      1.000630703980081,
      0.9882507650391364,
      0.9760612074337309,
      0.9640575681703725,
      0.952235526320967,
      0.9405909000379213,
      0.9291196428303571,
      0.9178178392604093,
      0.9066817006730241,
      0.8957075602958324,
      0.8848918692305247,
      0.8742311917001083,
      0.8637222006091106,
      0.8533616731993677,
      0.8431466199436368,
      0.8330746563425397,
      0.823143450918966,
      0.8133505684883512,
      0.8036935255324718,
      0.7941698277146889,
      0.7847774185995632,
      0.7755143302764705,
      0.7663780524119788,
      0.7573660673564111,
      0.7484759173029427,
      0.7397052382449665,
      0.731051749509075,
      0.7225132457730048,
      0.7140875904747574,
      0.7057727107180105,
      0.6975665932981984,
      0.6894672815525158,
      0.6814728720255635,
      0.6735815123831158,
      0.6657913992356235,
      0.6581007760847652,
      0.6505084062541294,
      0.6430137965539786,
      0.6356162323933225,
      0.6283147271164194,
      0.6211081171197115,
      0.6139951268764865,
      0.6069744141431023,
      0.6000446011373722,
      0.5932042953018775,
      0.586452103997564,
      0.5797866441740959,
      0.5732065486059472,
      0.5667104706056841,
      0.5602970858888012,
      0.5539650946564225,
      0.5477132224351613,
      0.5415402199124764,
      0.5354448635811374,
      0.5294259551405619,
      0.5234823210338251,
      0.5176128122517702,
      0.5118163036471671,
      0.5060916933722767,
      0.5004379022659469,
      0.494853873193129,
      0.48933857056899577,
      0.48389097979094997,
      0.47851010658116044,
      0.47319497636908925,
      0.46794463407258097,
      0.46275814305940666,
      0.45763458519812406,
      0.4525730599662796,
      0.4475726842201293,
      0.4426325915589913,
      0.43775193194802386,
      0.4329298712949544,
      0.42816559100802903,
      0.42345828771516597,
      0.41880717289134656,
      0.4142114720137168,
      0.40967042482220545,
      0.40518328452557273,
      0.400749317733919,
      0.39636780415327905,
      0.3920380359152753,
      0.3877593175089276,
      0.383530965603986,
      0.37935230874171083,
      0.3752226868174748,
      0.37114145083831757,
      0.3671079627784936,
      0.3631215954323012,
      0.359181731909074,
      0.3552875940545327,
      0.35143830203221454,
      0.3476330737778643,
      0.3438712023009912,
      0.34015203555950435,
      0.3364749625824857,
      0.3328394035274079,
      0.3292448028362624,
      0.3256906240800162,
      0.32217634672838075,
      0.3187014635618138,
      0.3152654787557741,
      0.31186790665635916,
      0.3085082709516316,
      0.3051861037140823,
      0.30190094482119145,
      0.2986523417398549,
      0.2954398491777637,
      0.29226302865331927,
      0.2891215533353141,
      0.2860152959865268,
      0.28294407867979615,
      0.2799076497930189,
      0.27690570764101585,
      0.2739379170857624,
      0.27100392160494047,
      0.268103351016122,
      0.2652358273665783,
      0.26240096894772746,
      0.25959839316184485,
      0.25682781473459154,
      0.2540890669291671,
      0.2513819358588025,
      0.24870616654407365,
      0.24606147319602947,
      0.24344754358338555,
      0.24086404858110022,
      0.23831064860332818,
      0.2357869983324873,
      0.23329272594255188,
      0.2308274136804326,
      0.22839065803476424,
      0.2259820765765466,
      0.2236013030750532,
      0.2212479836582419,
      0.2189217746273577,
      0.21662234086180468,
      0.21434935429956486,
      0.21210249311140003,
      0.20988144109452966,
      0.20768588724654005,
      0.2055155253139231,
      0.20337005347932333,
      0.20124917432676334,
      0.19915259439750826,
      0.1970800243914483,
      0.19503117892039243,
      0.19300577628380733,
      0.1910035161750226,
      0.18902406588139875,
      0.18706710810926075,
      0.18513234431109418,
      0.1832194900597093,
      0.18132827192239118,
      0.17945842511081256,
      0.1776096918086075,
      0.17578182018336422,
      0.17397461408940887,
      0.17218806233880102,
      0.17042213354444635,
      0.16867673132359712,
      0.16695171479150694,
      0.1652469126970969,
      0.16356213340637304,
      0.16189717202448772,
      0.16025181706865957,
      0.15862586337347398,
      0.1570191048276181,
      0.15543132929389325,
      0.15386232136448524,
      0.15231186415934345,
      0.15077974060082022,
      0.14926573429735573,
      0.14776963016018754,
      0.1462912148002978,
      0.14483027684056324,
      0.14338660708731685,
      0.1419599986256217,
      0.1405502468957986,
      0.139157149713692,
      0.13778050733633473,
      0.13642012249080698,
      0.13507580022631405,
      0.13374734806003824,
      0.13243457582535825,
      0.1311372958013006,
      0.12985532251890952,
      0.1285884728104372,
      0.1273365658150524,
      0.12609942296667304,
      0.12487686778596262,
      0.1236687259844119,
      0.12247482548020688,
      0.12129499635163285,
      0.12012907072128251,
      0.11897688269814065,
      0.11783826851697743,
      0.11671306645596329,
      0.11560111676144413,
      0.11450226158552466,
      0.11341634513387637,
      0.11234321340058748,
      0.1112827143165171,
      0.11023469770044818,
      0.10919901514049657,
      0.1081755201428073,
      0.10716406789211155,
      0.10616451532369388,
      0.10517671951637904,
      0.10420048973350556,
      0.10323561276825702,
      0.10228190142595983,
      0.10133918813241852,
      0.10040735746893201,
      0.09948632361494672,
      0.09857598896167333,
      0.097676245429174,
      0.09678693510808371,
      0.09590787830042356,
      0.0950389151236204,
      0.0941799000614289,
      0.09333069801785988,
      0.09249118174067213,
      0.09166122977739012,
      0.09084072524228792,
      0.09002955477250187,
      0.08922760786000461,
      0.0884347763660541,
      0.08765095427363455,
      0.08687600591712931,
      0.08610977053515159,
      0.08535210455822068,
      0.08460287949310454,
      0.083861977841609,
      0.08312929021953848,
      0.0824047133782719,
      0.0816881487144686,
      0.08097950120474227,
      0.0802786786400423,
      0.07958559105545986,
      0.07890015046757706,
      0.07822227052360331,
      0.07755186629697443,
      0.07688885415167912,
      0.07623315154783787,
      0.07558467704234641,
      0.07494335032530461,
      0.07430909198710875,
      0.07368182363903233,
      0.073061467770122,
      0.07244794772831444,
      0.07184118911034985,
      0.07124112142832925,
      0.07064767420522766,
      0.07006077669108243,
      0.06948035825151612,
      0.06890634843851091,
      0.0683386771763113,
      0.06777727485952026,
      0.06722207247222332,
      0.06667300163271613,
      0.06612999467261,
      0.06559298453409573,
      0.06506190482843657,
      0.06453668998602241,
      0.06401727504074395,
      0.06350359577279373,
      0.0629955886761145,
      0.062493190883993105,
      0.06199634023714967,
      0.06150497538628251,
      0.06101903558585166,
      0.060538460821192304,
      0.06006319157554796,
      0.05959316912074633,
      0.05912833543566965,
      0.05866863303810135,
      0.05821400512423376,
      0.05776439562152936,
      0.0573197489517342,
      0.05688001010129056,
      0.05644512485276866,
      0.05601503947235408,
      0.055589700819064815,
      0.055169056373464365,
      0.054753054141447585,
      0.054341642859258986,
      0.05393477173035225,
      0.053532390545797455,
      0.05313444965430291,
      0.05274089992161217,
      0.05235169279999815,
      0.051966780279317004,
      0.0515861148080339,
      0.05120964948983595,
      0.05083732680542817,
      0.05046906111803369,
      0.050104772776368746,
      0.04974439332555531,
      0.04938786237780671,
      0.04903512551332279,
      0.0486861327132715,
      0.04834083717879825,
      0.04799919464607577,
      0.0476611628447973,
      0.047326700938942444,
      0.046995769284869586,
      0.04666832920664133,
      0.04634434284540353,
      0.04602377301781262,
      0.04570658313476099,
      0.04539273716018184,
      0.045082199515141204,
      0.044774935091606814,
      0.044470909261740535,
      0.044170087647287304,
      0.04387243625253509,
      0.04357792164327674,
      0.04328651070816375,
      0.04299817068202653,
      0.04271286910700595,
      0.04243057392839346,
      0.04215125333128538,
      0.04187487595982027,
      0.0416014107883017,
      0.04133082706352019,
      0.04106309441377472,
      0.04079818270775326,
      0.040536062204008856,
      0.0402767034410939,
      0.04002007730692077,
      0.03976615498526494,
      0.039514907976784745,
      0.039266307965414554,
      0.03902032708604129,
      0.038776937736138224,
      0.03853611262355951,
      0.03829782461853798,
      0.03806204696560657,
      0.03782875321084521,
      0.03759791719054094,
      0.037369512916204564,
      0.037143514816421995,
      0.036919897499981716,
      0.03669863587290905,
      0.03647970510382132,
      0.03626308060630746,
      0.03604873806360493,
      0.03583665341302557,
      0.035626802757995554,
      0.03541916264684156,
      0.035213709748673626,
      0.03501042098799446,
      0.03480927359741049,
      0.034610244952302985,
      0.03441331270167094,
      0.03421845479509213,
      0.03402564933285159,
      0.03383487470923493,
      0.033646109508633525,
      0.03345933258102974,
      0.03327452298131993,
      0.03309165992218507,
      0.03291072293779727,
      0.032731691711267656,
      0.03255454615100025,
      0.032379266308859546,
      0.032205832572361946,
      0.03203422543830098,
      0.031864425719625084,
      0.031696414400073376,
      0.0315301726234504,
      0.0313656817374841,
      0.0312029232301496
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786208236041817,
      10.57007646597344,
      10.345374859052528,
      10.114694134297531,
      9.880363251608369,
      9.644418554969121,
      9.408657219528678,
      9.174630431972151,
      8.943672874313403,
      8.716884722351406,
      8.495124141867404,
      8.279003272135137,
      8.068895317081578,
      7.864953115464029,
      7.667136548381627,
      7.4752460261907165,
      7.288955454120955,
      7.107845353994621,
      6.931434510917383,
      6.759208534161099,
      6.5906443206836895,
      6.425230815568736,
      6.262486128449143,
      6.101971324734014,
      5.943300297222763,
      5.786143326740084,
      5.630234545443132,
      5.4753753800344285,
      5.3214386700612195,
      5.168369162305178,
      5.0161768497889225,
      4.864945167099939,
      4.714817437169276,
      4.56599360264596,
      4.418734854273659,
      4.273353925003941,
      4.130203916027672,
      3.9896660289756953,
      3.8521376083488086,
      3.7180228885339197,
      3.5877229718352237,
      3.461615652433015,
      3.340040856823966,
      3.2232933364618996,
      3.111616264613348,
      3.005195877979456,
      2.9041678739971775,
      2.808617965522096,
      2.718574868830211,
      2.6340131766329504,
      2.5548659392534585,
      2.4810199291344763,
      2.412304645979121,
      2.348488336102683,
      2.2892941770699604,
      2.234412850914745,
      2.1835025430301003,
      2.1361845258524155,
      2.0920484994888136,
      2.050701506245689,
      2.011781603769528,
      1.9749248344508679,
      1.939825228638049,
      1.9062437834254742,
      1.8739927471444116,
      1.8429211924706461,
      1.8129065912464755,
      1.7838441579409758,
      1.7556472483376813,
      1.7282457294514342,
      1.701581413250271,
      1.6756061708941568,
      1.6502794134287846,
      1.6255661523941334,
      1.6014358809333806,
      1.577861607574189,
      1.5548191134139278,
      1.532286403253581,
      1.5102432963132115,
      1.4886711197541211,
      1.467552475489922,
      1.4468710627683508,
      1.4266114328432324,
      1.4067585775599574,
      1.3872983058303219,
      1.3682174047825442,
      1.3495040406822685,
      1.3311471379639797,
      1.3131359561327787,
      1.2954601124348433,
      1.2781095925044097,
      1.2610747513318838,
      1.2443463094228275,
      1.2279153451395672,
      1.2117732830330241,
      1.1959118827916397,
      1.1803234585043767,
      1.1650010117746519,
      1.1499377177309704,
      1.1351268736282152,
      1.1205625188362642,
      1.1062395831538159,
      1.0921528749281881,
      1.078297064305225,
      1.0646667827166212,
      1.051256691144366,
      1.0380615262484822,
      1.0250761302616866,
      1.0122954702807192,
      0.9997146498189582,
      0.9873289148117577,
      0.9751336556927335,
      0.9631244070993943,
      0.9512968463519668,
      0.9396467898588119,
      0.9281701896977019,
      0.9168631290578559,
      0.9057218179692196,
      0.8947425886561536,
      0.8839218909684902,
      0.8732562879831777,
      0.8627424516137793,
      0.8523771582642931,
      0.842157638473884,
      0.8320815600232688,
      0.8221465031283653,
      0.8123499713792133,
      0.8026894383623676,
      0.7931623877119721,
      0.7837669472351382,
      0.774501111419157,
      0.765362281354984,
      0.7563478931797655,
      0.747455458914278,
      0.7386825937957942,
      0.7300270023661458,
      0.7214864685356993,
      0.7130588481681102,
      0.7047420632204834,
      0.6965340965024724,
      0.6884329885596253,
      0.6804368340958988,
      0.6725437791889128,
      0.6647520190522221,
      0.6570598085598335,
      0.6494662313216244,
      0.6419708185567671,
      0.6345727403920358,
      0.6272709303060827,
      0.6200641693162267,
      0.6129511430698839,
      0.6059304822956254,
      0.5990007901769981,
      0.5921606610653567,
      0.5854086932937287,
      0.578743497386412,
      0.5721637016572515,
      0.5656679559091722,
      0.5592549337893665,
      0.552923333789493,
      0.546671880200535,
      0.5404993230644091,
      0.5344044381225502,
      0.5283860265900088,
      0.5224429145824351,
      0.5165739525312719,
      0.5107780151005001,
      0.5050540001339271,
      0.49940082803553154,
      0.49381744145787665,
      0.48830280448897423,
      0.4828559022302928,
      0.47747574003110554,
      0.47216134327145587,
      0.46691175650185396,
      0.4617260429326256,
      0.45660328409776385,
      0.45154257928769787,
      0.44654304498291214,
      0.44160381461952103,
      0.4367240379012308,
      0.4319028804216386,
      0.42713952336977606,
      0.42243316298935185,
      0.4177830102769483,
      0.41318829071665947,
      0.40864824364604313,
      0.40416212199112445,
      0.39972919219429875,
      0.39534873362423023,
      0.39102003820618975,
      0.38674241017143113,
      0.3825151658505669,
      0.37833763330872994,
      0.3742091521793522,
      0.3701290732137239,
      0.36609675818348253,
      0.36211157950042205,
      0.35817288601057096,
      0.35427983994552714,
      0.35043158649395295,
      0.3466273652057605,
      0.34286648392069313,
      0.33914830095842546,
      0.33547221238279107,
      0.3318376434690304,
      0.32824404202845636,
      0.32469087406437225,
      0.3211776205865998,
      0.31770377523029314,
      0.3142688428882105,
      0.31087233820698945,
      0.30751378476990604,
      0.304192714697028,
      0.3009086678855167,
      0.2976611916649303,
      0.29444984043359534,
      0.291274175428887,
      0.28813392934059834,
      0.2850289823568813,
      0.28195913535966655,
      0.2789241216193381,
      0.27592362881634336,
      0.27295731446557525,
      0.2700248165307546,
      0.26712576099920066,
      0.2642597671703895,
      0.26142645139146026,
      0.2586254470807682,
      0.25585653637762357,
      0.2531195431709562,
      0.25041423154530873,
      0.24774033196879947,
      0.24509754417720003,
      0.24248554571033787,
      0.2399040001733274,
      0.23735256297905497,
      0.23483088517927383,
      0.232338572852802,
      0.22987520393621674,
      0.2274403803660993,
      0.2250337234178567,
      0.22265486936832546,
      0.2203034662497663,
      0.21797917164506134,
      0.21568165112162788,
      0.21341057708205094,
      0.21116562801525543,
      0.20894648789035664,
      0.20675284573004044,
      0.204584395209031,
      0.20244083442903582,
      0.20032186587001533,
      0.19822719603356906,
      0.1961565354268828,
      0.1941095984926588,
      0.19208610343405647,
      0.19008573489556116,
      0.1881081582335176,
      0.1861530613230568,
      0.18422014911665094,
      0.18230913960372575,
      0.18041976101104074,
      0.17855174985260594,
      0.17670484905798964,
      0.17487885686991522,
      0.17307375806691067,
      0.1712895207797638,
      0.16952604735725127,
      0.16778319494688199,
      0.1660607899500065,
      0.16435863834861802,
      0.162676532489853,
      0.16101425963265023,
      0.15937161427396995,
      0.1577483863168976,
      0.1561443600625287,
      0.15455931659055094,
      0.15299303577483253,
      0.15144529745219681,
      0.1499158822705358,
      0.14840457228953088,
      0.14691115127276005,
      0.14543540511784053,
      0.14397712194891354,
      0.14253609223501068,
      0.1411121087306169,
      0.13970496665875062,
      0.13831446374240447,
      0.13694040025678547,
      0.13558257886686378,
      0.1342408046823307,
      0.13291488521876793,
      0.13160463022622726,
      0.13030985209799745,
      0.1290303653206453,
      0.12776598682160548,
      0.12651653571404065,
      0.1252818334815075,
      0.12406170375684791,
      0.12285597224194307,
      0.12166446691416363,
      0.12048701780767339,
      0.11932345717720826,
      0.11817361923667088,
      0.11703734024132377,
      0.1159144585198691,
      0.11480481431621971,
      0.11370824982871314,
      0.11262460924311284,
      0.11155373872170674,
      0.11049548621474471,
      0.10944970154512695,
      0.10841623643597408,
      0.10739494436032773,
      0.10638568059421938,
      0.10538830214215483,
      0.10440265439392417,
      0.10342852957924646,
      0.10246572581254755,
      0.10151410410355759,
      0.10057355956238843,
      0.09964398032896254,
      0.0987252502013379,
      0.09781725049925265,
      0.0969198519419064,
      0.09603287698565896,
      0.09515614406206564,
      0.09428949183584824,
      0.09343277382838151,
      0.0925858543595475,
      0.091748605644304,
      0.09092090601392136,
      0.09010263837622279,
      0.08929368927271376,
      0.08849394814645396,
      0.08770330686247102,
      0.08692165945377667,
      0.08614886975952253,
      0.08538477717796555,
      0.0846292385410364,
      0.08388212566322054,
      0.0831433212580037,
      0.08241271623896906,
      0.08169020750067664,
      0.08097569659421158,
      0.0802690885795122,
      0.07957029135255868,
      0.07887921512289604,
      0.07819577199571714,
      0.07751987564053972,
      0.07685144124245596,
      0.0761903852045651,
      0.07553662518594798,
      0.07489007978800817,
      0.07425066869601761,
      0.07361831253206921,
      0.07299293302953183,
      0.07237445279189017,
      0.07176279521073445,
      0.07115788535626327,
      0.07055965244316034,
      0.06996802641473182,
      0.06938293679245434,
      0.06880431308760983,
      0.06823208496167153,
      0.06766618252084103,
      0.06710653624293668,
      0.06655307725896727,
      0.0660057373285034,
      0.06546444874423883,
      0.06492914453758962,
      0.06439975849932393,
      0.06387622504084714,
      0.06335847929969904,
      0.06284645714587712,
      0.0623400950700279,
      0.06183933032871955,
      0.061344100831322135,
      0.0608543453129272,
      0.06037000308383621,
      0.059891014160138686,
      0.059417319141926134,
      0.058948859406114724,
      0.058485576935822264,
      0.05802741438469897,
      0.057574315022662935,
      0.057126222677904216,
      0.05668308188418435,
      0.05624483780227607,
      0.05581143612126605,
      0.05538282325443203,
      0.05495894614041143,
      0.05453975231684652,
      0.054125189951725355,
      0.05371520768608805,
      0.053309754885991587,
      0.05290878136587823,
      0.05251223757494708,
      0.05212007444550541,
      0.051732243481926905,
      0.051348696772184954,
      0.05096938685843788,
      0.05059426686709489,
      0.050223284763105745,
      0.04985636035340919,
      0.04949341111606416,
      0.04913436646623521,
      0.048779164506231695,
      0.048427749764753523,
      0.04808007149193822,
      0.04773608247574343,
      0.04739573812625583,
      0.047058995901133036,
      0.046725814783445625,
      0.046396155032670874,
      0.04606997790877473,
      0.045747245448013084,
      0.045427920527828625,
      0.04511196650902595,
      0.04479934743629425,
      0.04449002778008095,
      0.04418397247608703,
      0.043881146880681836,
      0.04358151672786735,
      0.043285048125841184,
      0.04299170762835967,
      0.04270146205623719,
      0.04241427877192797,
      0.04213012539915414,
      0.04184896988096781,
      0.041570780545471156,
      0.04129552609332997,
      0.04102317547555203,
      0.04075369802973242,
      0.040487063401495924,
      0.040223241613747816,
      0.039962202895231835,
      0.03970391783146369,
      0.03944835734188823,
      0.0391954926330573,
      0.03894529529921777,
      0.038697737144325,
      0.03845279030091165,
      0.03821042719414388,
      0.037970620609177094,
      0.03773334352078058,
      0.037498569194573596,
      0.037266271196986465,
      0.037036423348978005,
      0.03680899980184931,
      0.03658397501237876,
      0.036361323649348444,
      0.03614102063430083,
      0.03592304108801289,
      0.03570736057028263,
      0.035493954755108005,
      0.03528279970153748,
      0.03507387160387173,
      0.03486714695632219,
      0.034662602524566426,
      0.0344602153184271,
      0.03425996252404513,
      0.03406182161185684,
      0.033865770346974564,
      0.033671786651273926,
      0.033479848685505825,
      0.033289934824217146,
      0.03310202381284084,
      0.03291609445224468,
      0.03273212583062621,
      0.03255009723203179,
      0.03236998814757962,
      0.03219177843041854,
      0.032015448003646786,
      0.03184097702365089,
      0.03166834588802491,
      0.03149753519073425,
      0.031328525728731536,
      0.031161298398105854,
      0.030995834453311416,
      0.030832115357267167,
      0.030670122686491996
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.7861959837873,
      10.570036467704247,
      10.345296027954047,
      10.114569114946312,
      9.88018763218878,
      9.644189870070557,
      9.408374773510811,
      9.174294754004658,
      8.943285357244816,
      8.716447263298845,
      8.494638766894536,
      8.278471945819675,
      8.068319795168888,
      7.864334842447275,
      7.666476596922136,
      7.4745450790693075,
      7.288213828295657,
      7.107063023194465,
      6.93061113100047,
      6.75834366475929,
      6.5897374617104925,
      6.424281477872145,
      6.261493930475919,
      6.100936087724635,
      5.942222005346305,
      5.785022105811321,
      5.6290711827247275,
      5.474171332356994,
      5.320195972507267,
      5.16709065683176,
      5.014866093177997,
      4.863606242857858,
      4.7134548658242075,
      4.564612515067716,
      4.417340923757876,
      4.27195327357946,
      4.128802998513232,
      3.9882714995793886,
      3.850756239130019,
      3.7166619269955667,
      3.586389855921139,
      3.460317251488193,
      3.3387833621877334,
      3.2220821750119044,
      3.1104556909019236,
      3.0040891351667924,
      2.9031173774360415,
      2.8076252020932064,
      2.7176403020189146,
      2.633136629659685,
      2.5540466527457912,
      2.4802559318019535,
      2.4115924729563654,
      2.347823309323903,
      2.288671041108856,
      2.2338258854494666,
      2.1829458023799235,
      2.1356516387940436,
      2.0915330474627947,
      2.0501979303718723,
      2.0112845998479663,
      1.974429607993992,
      1.9393281461732572,
      1.9057421410951465,
      1.87348453959664,
      1.8424049889337608,
      1.8123813754821747,
      1.7833091180079852,
      1.755101853093711,
      1.7276895285838179,
      1.7010140880666471,
      1.6750275461818311,
      1.6496893461541602,
      1.6249645707183433,
      1.6008227936169086,
      1.5772370800817104,
      1.5541832506784292,
      1.5316393373899624,
      1.509585176901634,
      1.4880021072065601,
      1.4668727368906835,
      1.4461807684576344,
      1.4259107920915224,
      1.4060478553742668,
      1.3865777358452225,
      1.3674872128021511,
      1.3487644576144908,
      1.3303983703033333,
      1.3123781915422774,
      1.2946935244048299,
      1.2773343430172293,
      1.2602909935126132,
      1.2435541894612783,
      1.2271150027177882,
      1.2109648532062358,
      1.1950954966755098,
      1.1794992998954694,
      1.164169268777102,
      1.1490985557485267,
      1.1342804415199341,
      1.1197090105765684,
      1.1053791923054286,
      1.0912857685380426,
      1.0774233901520287,
      1.0637866743605833,
      1.0503702713429182,
      1.0371689095027536,
      1.0241774252082902,
      1.0113907808111455,
      0.9988040760982384,
      0.9864125537376357,
      0.9742116016605893,
      0.9621967526156417,
      0.9503636816819461,
      0.938708203844632,
      0.9272262695591754,
      0.9159139606512391,
      0.9047674859947936,
      0.8937831764581784,
      0.8829574806901129,
      0.8722869607709879,
      0.8617682874641525,
      0.851398311552173,
      0.8411744666535207,
      0.8310943715579016,
      0.8211555313797958,
      0.811355397437223,
      0.8016914066230422,
      0.7921611251217662,
      0.7827628124542303,
      0.773494332048135,
      0.7643530202832957,
      0.7553362768171442,
      0.7464415906236923,
      0.7376665602627442,
      0.7290088787723358,
      0.7204663219906695,
      0.7120367397134995,
      0.7037180496838547,
      0.6955082318496447,
      0.6874053246477763,
      0.6794074209817703,
      0.6715126657056735,
      0.6637192532238679,
      0.6560256068714108,
      0.6484310544292607,
      0.6409349936836611,
      0.6335365034894213,
      0.6262344537761785,
      0.6190275807358809,
      0.611914539294336,
      0.6048939389078347,
      0.597964367735048,
      0.5911244096679776,
      0.5843726554773693,
      0.5777077106605927,
      0.5711281998463762,
      0.5646327703735293,
      0.5582200941222251,
      0.5518888682474458,
      0.5456378157659348,
      0.5394656860566196,
      0.5333712544444088,
      0.5273533216101538,
      0.5214107131873726,
      0.5155422794242029,
      0.5097468944571725,
      0.5040234558361643,
      0.4983708839738745,
      0.49278812114170506,
      0.48727413126038244,
      0.48182789914107704,
      0.47644843001870074,
      0.4711347488712022,
      0.4658858999346006,
      0.4607009462113096,
      0.45557896887397825,
      0.4505190669214105,
      0.4455203567587965,
      0.44058197134770083,
      0.4357030600718714,
      0.43088278837927596,
      0.4261203371773591,
      0.42141490246528285,
      0.41676569502699884,
      0.4121719399322248,
      0.4076328762783789,
      0.4031477567683517,
      0.39871584748109207,
      0.3943364273526111,
      0.39000878805566025,
      0.38573223359199704,
      0.38150608000514824,
      0.37732965516362793,
      0.3732022983107097,
      0.36912335996580603,
      0.36509220156791833,
      0.3611081952698017,
      0.3571706409671855,
      0.35327865702301914,
      0.3494314175343156,
      0.3456281819722718,
      0.3418682721773463,
      0.33815105614945395,
      0.3344759367695951,
      0.3308423438236049,
      0.32724972824410664,
      0.3236975581570634,
      0.32018531590531185,
      0.3167124960135237,
      0.3132786038087094,
      0.309883154183119,
      0.30652567094133787,
      0.3032056861061939,
      0.2999227394624826,
      0.2966763781205435,
      0.2934661562135136,
      0.290291648563088,
      0.28715264063659907,
      0.2840490057565218,
      0.28098052583174127,
      0.27794692070173166,
      0.2749478685422738,
      0.2719830198658645,
      0.26905200775222554,
      0.2661544547286515,
      0.2632899774973075,
      0.2604581904301337,
      0.2576587743179297,
      0.25489155649691214,
      0.252156330291969,
      0.24945284352301544,
      0.24678081212862482,
      0.24413992353031544,
      0.24152984653176787,
      0.23895023851537964,
      0.23640075047279535,
      0.2338810217004575,
      0.23139064068279971,
      0.22892918996803913,
      0.22649627591623553,
      0.2240915228735763,
      0.2217145691504815,
      0.21936506406196582,
      0.21704266613353101,
      0.21474704153734797,
      0.21247786305879865,
      0.21023480936035804,
      0.20801756448952763,
      0.2058258174260864,
      0.2036592618191281,
      0.20151759578659367,
      0.19940052162343874,
      0.19730774576170843,
      0.1952389785496096,
      0.19319393429435278,
      0.1911723240665267,
      0.18917382088783627,
      0.18719809528727965,
      0.1852448390560952,
      0.1833137599757122,
      0.181404578079479,
      0.17951702301319952,
      0.17765083210228613,
      0.17580579602631025,
      0.1739818931925937,
      0.17217909199228568,
      0.17039729403483675,
      0.16863635498403728,
      0.1668960991564333,
      0.16517633001427232,
      0.16347683738190769,
      0.16179740858013958,
      0.16013783596520853,
      0.15849790563252442,
      0.1568773983101408,
      0.1552760918228699,
      0.15369376286862396,
      0.15213018820849392,
      0.1505851454985918,
      0.14905841387479146,
      0.14754977429245042,
      0.14605900982643916,
      0.14458590585640868,
      0.14313025006763436,
      0.14169183265607457,
      0.14027044635662636,
      0.13886588635827143,
      0.13747795034144936,
      0.1361064384594695,
      0.13475115341054178,
      0.13341190018699672,
      0.1320884863856526,
      0.13078072198518687,
      0.12948841925914767,
      0.12821139270231538,
      0.1269494592952201,
      0.12570243828057873,
      0.12447015102355585,
      0.12325242122279238,
      0.12204907463236077,
      0.12085993929374732,
      0.11968484532978471,
      0.11852362490477959,
      0.11737611230601494,
      0.11624214386693409,
      0.11512155798634474,
      0.11401419497662467,
      0.11291989708376321,
      0.11183850853302534,
      0.11076987548619865,
      0.10971384596072714,
      0.10867026987007257,
      0.107638998974907,
      0.10661988675174991,
      0.10561278852853709,
      0.10461756132117439,
      0.10363403419415403,
      0.10266203571765398,
      0.10170142952770794,
      0.10075208086072467,
      0.09981385661283508,
      0.09888662528791485,
      0.09797025698266662,
      0.09706462347936329,
      0.09616958234771734,
      0.09528494327603032,
      0.09441052620307457,
      0.09354617105591537,
      0.09269173216332437,
      0.09184707440433615,
      0.09101207047221285,
      0.0901865990334082,
      0.08937054336123187,
      0.08856379009493122,
      0.08776622894680179,
      0.08697775193727288,
      0.0861982531667895,
      0.08542759635867408,
      0.08466562118410502,
      0.08391218485123944,
      0.08316715946452223,
      0.08243042802511007,
      0.08170188154823245,
      0.08098141706717231,
      0.08026893619472689,
      0.07956434413465652,
      0.0788675489295903,
      0.07817846093625533,
      0.07749699223281425,
      0.07682305661823938,
      0.07615656931258635,
      0.07549744684730988,
      0.07484560686824887,
      0.07420096810797866,
      0.07356345036874097,
      0.07293297436314637,
      0.07230946183485407,
      0.07169283539997044,
      0.07108301866539395,
      0.07047993642384699,
      0.06988351730872591,
      0.06929369161706027,
      0.06871038911665742,
      0.0681335394524596,
      0.0675630725682568,
      0.06699891862677328,
      0.06644100820095913,
      0.06588927255573505,
      0.0653436434806083,
      0.06480405341713777,
      0.06427043545809684,
      0.06374272348291275,
      0.06322085196842074,
      0.06270475613900833,
      0.062194371861861796,
      0.06168963578966775,
      0.06119048531224555,
      0.06069685841554598,
      0.06020869376243448,
      0.05972593074088407,
      0.0592485094356695,
      0.05877637056420087,
      0.05830945552332418,
      0.05784770640020438,
      0.05739106583012332,
      0.056939477145735315,
      0.0564928843764837,
      0.056051232072350646,
      0.05561446535874107,
      0.05518253008253497,
      0.054755372757381,
      0.05433294035893656,
      0.053915180423848595,
      0.053502041211576895,
      0.0530934715188515,
      0.05268942068403452,
      0.05228983855532698,
      0.05189467555634613,
      0.051503882779238716,
      0.051117411826242166,
      0.0507352148214094,
      0.05035724442460739,
      0.04998345377424577,
      0.049613795506931596,
      0.0492481964985028,
      0.04888657105640076,
      0.048528846381497126,
      0.048174958961513324,
      0.04782485221170195,
      0.04747847462240003,
      0.04713577842930312,
      0.04679671868933551,
      0.046461252516797044,
      0.046129338785897804,
      0.045800937591779785,
      0.04547601022208685,
      0.04515451871644223,
      0.04483642587117047,
      0.0445216951448294,
      0.04421029055703307,
      0.0439021765289735,
      0.043597317998967544,
      0.043295680352273255,
      0.04299722945144504,
      0.04270193147750596,
      0.04240975297613207,
      0.04212066088587677,
      0.041834622507727556,
      0.041551605545997884,
      0.04127157804242765,
      0.04099450839782723,
      0.040720365283416604,
      0.04044911770303948,
      0.04018073508502263,
      0.039915187099232884,
      0.03965244381515934,
      0.03939247558488804,
      0.0391352530321842,
      0.038880747138127496,
      0.03862892913073812,
      0.03837977058562961,
      0.038133243403824485,
      0.03788931983251002,
      0.0376479723085945,
      0.03740917358307816,
      0.03717289669417303,
      0.03693911497297084,
      0.03670780207605429,
      0.03647893188555867,
      0.036252478559620646,
      0.03602841653309014,
      0.035806720640211,
      0.035587365847467814,
      0.035370327371981626,
      0.03515558073402475,
      0.0349431016834616,
      0.0347328662511257,
      0.034524850820466864,
      0.034319031891849754,
      0.034115386283400544,
      0.033913891020974495,
      0.0337145233565178,
      0.03351726082528739,
      0.033322081068763845,
      0.03312896216384121,
      0.032937882276100894,
      0.032748819895744165,
      0.032561753724576425,
      0.03237666264336732,
      0.032193525855367354,
      0.03201232265821716,
      0.03183303266844289,
      0.03165563561102962,
      0.031480111507366244,
      0.03130644055219127,
      0.031134603157112504,
      0.030964579950231424,
      0.030796351808186764,
      0.030629899784566456,
      0.030465205089895316,
      0.030302249173595974,
      0.030141013670606003
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786183803347777,
      10.569996717048513,
      10.345217710366693,
      10.114444938585777,
      9.880013227909675,
      9.643962799404136,
      9.408094359442616,
      9.173961536042297,
      8.942900731772589,
      8.716013129049577,
      8.494157146558448,
      8.277944800105484,
      8.067748876663927,
      7.863721593174334,
      7.665822088332958,
      7.473849992862385,
      7.287478481833346,
      7.10628737834284,
      6.929794825206358,
      6.757486257158346,
      6.58883846437472,
      6.4233404138254455,
      6.260510429339544,
      6.0999099811229796,
      5.9411532873769906,
      5.783910908711314,
      5.627918298414663,
      5.472978219942596,
      5.318964665019625,
      5.165823991391926,
      5.013567616584178,
      4.862280023001753,
      4.712105403996477,
      4.563244914974854,
      4.415960824328787,
      4.2705667556222675,
      4.1274164695946105,
      3.9868915616291627,
      3.8493896078858874,
      3.7153157205880203,
      3.5850714553927783,
      3.4590334682788737,
      3.33754033053763,
      3.220885267954923,
      3.1093091146003933,
      3.002996089546587,
      2.9020802396892837,
      2.806645426227179,
      2.7167183242308792,
      2.632272252054736,
      2.5532390998122705,
      2.4795031288764813,
      2.4108909356488635,
      2.347168355791112,
      2.288057452399062,
      2.233247985718965,
      2.182397695747235,
      2.1351269863217692,
      2.091025472204581,
      2.049701908433541,
      2.01079487228657,
      1.9739414393123709,
      1.938837948000075,
      1.905247244486379,
      1.8729829665991806,
      1.8418953252581411,
      1.8118626242679465,
      1.7827804843620991,
      1.7545628183536095,
      1.7271396509675576,
      1.7004530549560832,
      1.674455152995101,
      1.6491054338630642,
      1.6243690868637837,
      1.6002157608900889,
      1.5766185743355765,
      1.5535533848913026,
      1.5309982487001752,
      1.5089330189608432,
      1.4873390440412257,
      1.4661989379670943,
      1.4454964060169355,
      1.4252160777286484,
      1.405343056122523,
      1.3858630867533257,
      1.3667629404678305,
      1.3480307935680274,
      1.3296555212788044,
      1.3116263456615993,
      1.2939328554218978,
      1.2765650134325968,
      1.2595131572679628,
      1.2427679926335573,
      1.226320585669452,
      1.2101623510351218,
      1.1942850398445497,
      1.1786810721172565,
      1.1633434582271536,
      1.1482653280514958,
      1.1334399454921396,
      1.1188614402877908,
      1.1045247408844217,
      1.090424603283761,
      1.0765556587587675,
      1.0629125100637602,
      1.049489797142619,
      1.0362822404004068,
      1.023284669882129,
      1.0104920431888123,
      0.9978994563193812,
      0.9855021488119355,
      0.9732955059740487,
      0.961275058284878,
      0.9494364791126833,
      0.93777558178232,
      0.9262883152927228,
      0.9149707600641536,
      0.9038191235651706,
      0.8928297356141224,
      0.8819990439100245,
      0.8713236093271375,
      0.8608001015717441,
      0.8504255371684515,
      0.840197471930611,
      0.8301134312518613,
      0.820170855742907,
      0.8103671513239581,
      0.8006997235997552,
      0.7911662349260733,
      0.7817650529673003,
      0.7724939196885415,
      0.7633501201357219,
      0.7543310167757854,
      0.7454340748009715,
      0.7366568762221336,
      0.7279971022182486,
      0.7194525203007285,
      0.7110209745761906,
      0.7027003783916542,
      0.6944887086754322,
      0.6863840013159972,
      0.6783843476096653,
      0.670487891275799,
      0.6626928256658464,
      0.6549978183233933,
      0.6474023402698789,
      0.6399056643361342,
      0.63250678287204,
      0.625204505689431,
      0.6179975273797382,
      0.6108844737250981,
      0.6038639337099901,
      0.5969344812824696,
      0.5900946905525923,
      0.5833431455011715,
      0.5766784465263811,
      0.570099215054219,
      0.5636040957516149,
      0.557191758749028,
      0.5508609002337332,
      0.5446102424418824,
      0.5384385338189895,
      0.5323445489246169,
      0.5263270880112693,
      0.5203849765627794,
      0.5145170644661018,
      0.5087222255574523,
      0.502999357140465,
      0.49734737914904403,
      0.49176523359405205,
      0.4862518840928648,
      0.4808063153329598,
      0.4754275322686536,
      0.4701145595108583,
      0.46486644111499853,
      0.459682239931599,
      0.45456103697888467,
      0.44950193089001267,
      0.4445040375381361,
      0.43956648976531343,
      0.4346884368614776,
      0.4298690438200075,
      0.42510749123629216,
      0.4204029748835478,
      0.41575470522289926,
      0.41116190702627325,
      0.40662381916434065,
      0.40213969400136346,
      0.3977087972880212,
      0.39333040779043954,
      0.38900381696178443,
      0.38472832842824034,
      0.3805032578754156,
      0.3763279328777039,
      0.37220169249442386,
      0.3681238868110045,
      0.3640938770359171,
      0.36011103506140846,
      0.3561745861983912,
      0.3522836394374351,
      0.3484373950123299,
      0.34463513061562523,
      0.3408761806833924,
      0.3371599218820617,
      0.33348576327107876,
      0.32985313874087224,
      0.3262615020691193,
      0.32271032324219456,
      0.31919908580114537,
      0.3157272851398514,
      0.3122944270374233,
      0.3089000265350522,
      0.30554360751063386,
      0.30222470194466,
      0.2989428494235338,
      0.2956975968786626,
      0.2924884982939388,
      0.2893151587973529,
      0.28617740830781535,
      0.28307509651096613,
      0.2800079887207215,
      0.2769757930146366,
      0.2739781791055427,
      0.27101479171067644,
      0.2680852596268341,
      0.2651892021605732,
      0.26232623382901277,
      0.25949597153197695,
      0.2566981691726024,
      0.25393265839020024,
      0.2511992081553629,
      0.24849755088884917,
      0.24582738729598408,
      0.24318839382096546,
      0.240580231637773,
      0.23800255272216617,
      0.23545500404656233,
      0.23293720971864476,
      0.23044874509043287,
      0.22798919868869283,
      0.22555818092532923,
      0.22315531893667384,
      0.22078025292702716,
      0.21843263360931858,
      0.2161121202495671,
      0.21381837949924748,
      0.2115510844385438,
      0.20930991404395843,
      0.20709455241640706,
      0.20490468859471847,
      0.20274001607559952,
      0.2006002328277188,
      0.19848504108749632,
      0.1963941472543046,
      0.19432726150302007,
      0.19228409782523492,
      0.19026435846379272,
      0.1882677071487658,
      0.1862938199283304,
      0.18434239237628874,
      0.18241313495885672,
      0.18050576956050135,
      0.17862002693943124,
      0.17675568848954043,
      0.17491272381989384,
      0.17309110264143623,
      0.17129072626419461,
      0.16951144909784874,
      0.16775309374422526,
      0.1660154614735656,
      0.16429833953672598,
      0.1626015152629223,
      0.1609247786392826,
      0.15926791206464366,
      0.15763069276340183,
      0.1560128953464969,
      0.154414293329224,
      0.15283466034950993,
      0.15127377104043166,
      0.1497314016177763,
      0.14820733016584356,
      0.14670133688373369,
      0.14521320442006996,
      0.1437427177759608,
      0.1422896645266099,
      0.1408538347009262,
      0.13943502086594656,
      0.1380330181489807,
      0.13664762435044853,
      0.13527863956911654,
      0.13392586647072532,
      0.13258911017023328,
      0.131268178185656,
      0.12996288044417564,
      0.1286730292833417,
      0.12739843927541783,
      0.12613892745374897,
      0.12489431303814807,
      0.12366441746008534,
      0.12244906442707253,
      0.1212480797846159,
      0.12006129156971092,
      0.11888852998916971,
      0.11772962730338848,
      0.11658441781228036,
      0.11545273786103011,
      0.11433442584002043,
      0.1132293221343661,
      0.11213726908670987,
      0.11105811096039366,
      0.10999169391558855,
      0.10893786608088511,
      0.1078964773454631,
      0.10686737948839922,
      0.10585042605337312,
      0.1048454750972218,
      0.10385242433110854,
      0.10287113961603032,
      0.10190144748643468,
      0.1009431869062019,
      0.09999620588607198,
      0.0990603593165955,
      0.09813550736791563,
      0.0972215142974893,
      0.09631824776302411,
      0.0954255512870942,
      0.09454323136619318,
      0.09367111079021595,
      0.09280903141570672,
      0.09195684905127599,
      0.09111442959874666,
      0.09028164654363235,
      0.08945837914253939,
      0.0886445109697507,
      0.08783992913551504,
      0.08704452360036692,
      0.08625818657642537,
      0.08548081223627214,
      0.08471226454865326,
      0.08395238354053712,
      0.08320102676021786,
      0.08245806642495201,
      0.08172338567283617,
      0.08099687570599655,
      0.08027843370626868,
      0.07956796143183557,
      0.07886536423576476,
      0.07817055016493991,
      0.07748342955904583,
      0.07680391466139323,
      0.07613191935477624,
      0.07546735883987435,
      0.07481014970976459,
      0.07416020976892242,
      0.07351745782493496,
      0.07288181370974042,
      0.07225319820628323,
      0.07163153313745874,
      0.07101674119517935,
      0.07040874598261065,
      0.06980747195149754,
      0.06921284738927744,
      0.0686248029215875,
      0.06804326858251708,
      0.06746817426030971,
      0.06689944994809822,
      0.06633702593766683,
      0.06578083297299998,
      0.0652308023513092,
      0.06468686599124286,
      0.06414895650653728,
      0.06361700702461347,
      0.06309095139853721,
      0.06257072427820981,
      0.06205626087309419,
      0.06154749724199018,
      0.06104437005769933,
      0.06054681669882825,
      0.060054775229498175,
      0.05956818438800096,
      0.05908698365770705,
      0.058611113191257745,
      0.05814051377852775,
      0.057675126871292295,
      0.057214894546604514,
      0.056759759609494156,
      0.05630966543112107,
      0.055864556050038955,
      0.05542437612637618,
      0.054989070904919835,
      0.054558586215290195,
      0.0541328686014983,
      0.05371186517136836,
      0.05329552359760129,
      0.05288379214625925,
      0.05247661969491895,
      0.052073955597314134,
      0.05167574985835649,
      0.051281953025263116,
      0.050892516163738286,
      0.050507390870773244,
      0.050126529369285126,
      0.049749884325110315,
      0.049377408904339254,
      0.04900905685160553,
      0.048644763998182024,
      0.048284445213051995,
      0.04792802485712091,
      0.04757543751127172,
      0.04722662518313354,
      0.04688153529998576,
      0.046540119304621395,
      0.046202331775891475,
      0.0458681295708607,
      0.04553747138625953,
      0.04521031715519864,
      0.044886627963999434,
      0.04456636585905051,
      0.04424949361921952,
      0.043935974670932486,
      0.04362577295188232,
      0.04331885304059113,
      0.043015179897265894,
      0.042714718924109406,
      0.04241743601797322,
      0.04212329746898886,
      0.041832269860632466,
      0.04154432019063688,
      0.04125941578959315,
      0.04097752445428197,
      0.04069861425176815,
      0.04042265354110968,
      0.04014961109131691,
      0.0398794559848028,
      0.03961215772865856,
      0.039347686068748,
      0.03908601107827052,
      0.03882710308511007,
      0.0385709327691162,
      0.03831747123192429,
      0.038066689769352804,
      0.03781855995008145,
      0.03757305378116873,
      0.03733014350320971,
      0.03708980162166259,
      0.0368520009169531,
      0.03661671455762513,
      0.03638391591565778,
      0.03615357865334287,
      0.03592567670914859,
      0.03570018428493803,
      0.03547707590708384,
      0.03525632637465787,
      0.03503791068938721,
      0.03482180412632232,
      0.03460798226766044,
      0.034396420887875,
      0.034187096107146576,
      0.03397998432967301,
      0.033775062176772494,
      0.03357230637936859,
      0.03337169407501242,
      0.033173202603913314,
      0.03297680942010045,
      0.03278249234679353,
      0.032590229451328244,
      0.03239999901646046,
      0.03221177953173623,
      0.032025549746161515,
      0.03184128863562868,
      0.031658975384369854,
      0.03147858933198445,
      0.031300110102475104,
      0.031123517514837676,
      0.03094879164716172,
      0.030775912771447013,
      0.030604861253854,
      0.030435617802372045,
      0.030268163273458736,
      0.030102478775284547,
      0.029938545574503546,
      0.0297763451756155,
      0.029615859286648092
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786175277458586,
      10.569963856566325,
      10.345149102089271,
      10.114332907107077,
      9.879853068323781,
      9.64375177769886,
      9.407831542678153,
      9.17364723744598,
      8.942536143994223,
      8.715599966761085,
      8.493697274404228,
      8.277440045711543,
      8.067200883175424,
      7.863131718567029,
      7.665191342530191,
      7.473179019166283,
      7.286767579615526,
      7.10553649666808,
      6.929003593121008,
      6.756654247217623,
      6.587965216734295,
      6.422425480641935,
      6.259553469803152,
      6.098910854638102,
      5.940112011023329,
      5.782827632430976,
      5.6267938250890195,
      5.471814011826947,
      5.317762746353231,
      5.164587180425028,
      5.012299429940775,
      4.86098448795033,
      4.710786973106658,
      4.561908628880209,
      4.414612246005594,
      4.269211878911799,
      4.1260616052877515,
      3.9855432068185332,
      3.8480543681521953,
      3.7140005980682633,
      3.583783714059579,
      3.457779807065424,
      3.3363267780490853,
      3.2197170994529576,
      3.1081904508826725,
      3.001930057665297,
      2.9010691565448354,
      2.8056906982519947,
      2.7158203527419493,
      2.631430815697125,
      2.5524534105354513,
      2.4787711174797527,
      2.4102091409450828,
      2.3465321339730623,
      2.287461632940772,
      2.23268695547445,
      2.1818656303553166,
      2.134617628201952,
      2.090532530368871,
      2.0492198741316177,
      2.0103185355259137,
      1.9734661677970746,
      1.9383602343410133,
      1.9047644819808152,
      1.8724932266809537,
      1.8413972216102328,
      1.8113551885649188,
      1.78226295495827,
      1.7540347024224314,
      1.726600527140186,
      1.6999026267432955,
      1.6738932057206481,
      1.6485318254772474,
      1.6237837782315254,
      1.5996187858939894,
      1.5760100172796891,
      1.5529333652859405,
      1.5303669102911899,
      1.5082905208762158,
      1.4866855548724807,
      1.4655346318195162,
      1.4448214588989996,
      1.4245306965749382,
      1.4046475079187877,
      1.3851576140863893,
      1.3660477758815766,
      1.3473061732825642,
      1.3289216556449854,
      1.3108834258346393,
      1.2931810577902003,
      1.2758045029183478,
      1.2587440891902468,
      1.241990515675009,
      1.2255348420269672,
      1.209368477618252,
      1.1934831692977848,
      1.177871389928892,
      1.1625261537774438,
      1.1474405680441482,
      1.1326078796851375,
      1.1180222631356644,
      1.1036786460447277,
      1.0895717580548485,
      1.0756962117681883,
      1.06204659574269,
      1.0486175391773098,
      1.0354037547731054,
      1.0224000662319062,
      1.0096014264781221,
      0.997002927432229,
      0.9845998056108758,
      0.9723874437987629,
      0.9603613702489244,
      0.9485172566045935,
      0.9368509144591077,
      0.925358291074029,
      0.9140354654316486,
      0.9028786438107478,
      0.8918841548336794,
      0.8810484449967408,
      0.8703680739636497,
      0.8598397272089844,
      0.8494606506517821,
      0.8392284102114711,
      0.8291404480760026,
      0.8191941468582965,
      0.8093868717138939,
      0.7997159995275365,
      0.7901793804386409,
      0.7807753739231406,
      0.771501612244469,
      0.762355335251559,
      0.7533338728394304,
      0.744434669403907,
      0.7356552925308923,
      0.7269934130109725,
      0.7184467910792303,
      0.7100132656343546,
      0.7016907462528279,
      0.6934772071060572,
      0.6853706819943572,
      0.6773692607831171,
      0.6694710860004827,
      0.6616743499605918,
      0.6539780444437239,
      0.6463816769452834,
      0.6388844040345432,
      0.6314851372976665,
      0.6241826300946026,
      0.6169755379078851,
      0.6098624592093984,
      0.6028419639725237,
      0.5959126129760447,
      0.5890729710721229,
      0.5823216157645336,
      0.5756571429389393,
      0.5690781707652961,
      0.5625833418421563,
      0.5561713246167751,
      0.5498408139159013,
      0.5435905309260468,
      0.5374192234711215,
      0.5313256656541223,
      0.5253086573266051,
      0.5193670234664567,
      0.513499613723881,
      0.5077053016294789,
      0.5019829840548227,
      0.4963315808009342,
      0.49075003380929433,
      0.48523730638070417,
      0.47979238281056064,
      0.47441426775687867,
      0.4691019856745922,
      0.4638545802928101,
      0.4586711141374048,
      0.45355066787202464,
      0.4484923399684458,
      0.4434952461227776,
      0.43855851885206654,
      0.4336813070693319,
      0.42886277561355696,
      0.4241021047614365,
      0.41939848984903405,
      0.4147511410815125,
      0.4101592830238174,
      0.40562215423119746,
      0.4011390068429024,
      0.39670910634304696,
      0.39233173113422043,
      0.38800617225491224,
      0.3837317331150885,
      0.37950772930182,
      0.3753334879980983,
      0.3712083477773306,
      0.3671316586742981,
      0.36310278151533704,
      0.35912106290790463,
      0.3551856658654438,
      0.35129571548308824,
      0.3474504341434657,
      0.343649115024904,
      0.33989110334750183,
      0.33617578341052134,
      0.3325025694033907,
      0.3288708987124083,
      0.3252802273559843,
      0.3217300268976052,
      0.3182197820238842,
      0.31474898866680834,
      0.31131715280310557,
      0.30792378976222123,
      0.3045684233542683,
      0.3012505854778561,
      0.29796981559516056,
      0.29472566040520753,
      0.29151767370103376,
      0.2883454971365166,
      0.2852089966112997,
      0.28210799875788556,
      0.2790422527305503,
      0.2760114552367486,
      0.2730152678758922,
      0.2700533296120615,
      0.26712526504951284,
      0.26423069052784326,
      0.26136921836454075,
      0.2585405013898953,
      0.25574434980954264,
      0.25298056706113325,
      0.2502489043601979,
      0.24754907973015114,
      0.24488078102641422,
      0.24224367569379174,
      0.23963741847504144,
      0.2370616566686401,
      0.2345160340626296,
      0.2320001533291842,
      0.22951358573650277,
      0.22705592528258736,
      0.2246267862345864,
      0.22222579833748846,
      0.219852603458874,
      0.21750685346716023,
      0.2151882084699789,
      0.21289633562312532,
      0.21063090834001996,
      0.20839160565760176,
      0.20617811178169837,
      0.20399011563255934,
      0.20182731079595756,
      0.1996893951675767,
      0.19757607077314432,
      0.19548704372519748,
      0.19342202416444598,
      0.1913807260837646,
      0.18936283739940996,
      0.1873680198730393,
      0.1853959543955121,
      0.18344634000992618,
      0.18151888941801053,
      0.17961332608612252,
      0.1777294199421248,
      0.1758671292068888,
      0.17402642555468273,
      0.17220721049059068,
      0.17040933761980828,
      0.16863262799420844,
      0.1668768808781765,
      0.16514188118926892,
      0.16342741603849445,
      0.1617332729287275,
      0.16005923069163397,
      0.15840506317444936,
      0.1567705415994481,
      0.15515543627449574,
      0.15355951775629406,
      0.1519825577069113,
      0.15042432929355165,
      0.1488846077127455,
      0.147363170376109,
      0.14585979714093536,
      0.1443742702674619,
      0.14290637454892718,
      0.14145589737290812,
      0.14002262867580748,
      0.13860636103912802,
      0.1372068895841446,
      0.13582401198224903,
      0.13445752842921696,
      0.13310724150012987,
      0.1317729563554558,
      0.13045448060534284,
      0.12915162423305496,
      0.12786419949417757,
      0.12659202106482345,
      0.12533490595607374,
      0.12409267344889634,
      0.1228651451511185,
      0.12165214467386498,
      0.12045349791276125,
      0.11926903296782808,
      0.11809858008972736,
      0.11694197156328467,
      0.11579904175070879,
      0.11466962702723575,
      0.11355356573620061,
      0.11245069837996245,
      0.11136086731559686,
      0.11028391686423811,
      0.10921969325527317,
      0.1081680446725501,
      0.10712882098934182,
      0.106101875658338,
      0.10508710482142673,
      0.1040844253543923,
      0.10309372212842167,
      0.10211481369554581,
      0.10114751249839139,
      0.10019164763696853,
      0.09924706037563122,
      0.09831360089384682,
      0.09739112603774101,
      0.09647949775846486,
      0.09557858220611717,
      0.09468821115249587,
      0.09380818920002099,
      0.09293834250990449,
      0.09207851537037495,
      0.09122856536443182,
      0.0903883597024947,
      0.08955777284491576,
      0.08873668468025861,
      0.0879249792969673,
      0.08712254410795267,
      0.08632926943942754,
      0.08554504774281463,
      0.08476977342519701,
      0.08400331112460643,
      0.08324550121768975,
      0.08249620131607807,
      0.08175528372237773,
      0.08102263171094663,
      0.08029813652206676,
      0.07958169542383538,
      0.07887321023921606,
      0.07817258639008583,
      0.0774797320598957,
      0.07679455769452306,
      0.07611697562623103,
      0.07544689977791356,
      0.07478424549738714,
      0.07412892938121447,
      0.07348086922072186,
      0.07283998389545548,
      0.07220619335962858,
      0.0715794184958569,
      0.07095958117922713,
      0.07034660416989844,
      0.06974041110164178,
      0.06914092645405294,
      0.06854807785283806,
      0.0679617959308829,
      0.06738201100704837,
      0.06680865318963544,
      0.06624165272974435,
      0.06568094008541595,
      0.06512644614583814,
      0.06457810234256839,
      0.06403584064161316,
      0.06349959368413664,
      0.06296929468778271,
      0.06244487766842802,
      0.061926277238498084,
      0.06141342871308932,
      0.0609062681963497,
      0.060404732483188325,
      0.059908759008245875,
      0.05941828591492132,
      0.0589332520093473,
      0.05845359682192316,
      0.057979260572993324,
      0.05751018410607686,
      0.05704630890635774,
      0.05658757714672419,
      0.05613393167957757,
      0.05568531599926933,
      0.055241674124160284,
      0.05480295077667799,
      0.05436909128601951,
      0.05394004162050401,
      0.05351574835232567,
      0.0530961586755999,
      0.05268122027717661,
      0.05227088147034524,
      0.051865091177899746,
      0.05146379886705704,
      0.05106695460408077,
      0.050674509002763664,
      0.05028641311497179,
      0.04990261861837296,
      0.049523077774472034,
      0.04914774339854757,
      0.04877656874885428,
      0.0484095076849237,
      0.048046505615080365,
      0.04768747906840058,
      0.04733234939270226,
      0.046981048980604546,
      0.04663351820692687,
      0.046289703415058614,
      0.04594955535606387,
      0.04561302804243608,
      0.04528007797708477,
      0.04495066362753192,
      0.04462474472625909,
      0.04430228226958372,
      0.043983238292104876,
      0.043667575413413776,
      0.043355256975189174,
      0.04304624710801825,
      0.04274051034640508,
      0.042438011690729256,
      0.042138716655093895,
      0.04184259111990583,
      0.041549601376662436,
      0.041259714066370926,
      0.040972896252801684,
      0.040689115344615834,
      0.04040833918442641,
      0.04013053589764224,
      0.03985567385381066,
      0.039583721851531424,
      0.03931464906961488,
      0.03904842498176764,
      0.038785019488348935,
      0.03852440266200309,
      0.038266544929739105,
      0.038011417020780806,
      0.037758990036661035,
      0.03750923538595127,
      0.03726212472971962,
      0.0370176299787951,
      0.03677572340965993,
      0.03653637767383393,
      0.03629956561453571,
      0.03606526036086126,
      0.03583343537841118,
      0.035604064375043126,
      0.03537712133495045,
      0.035152580553370984,
      0.03493041662840268,
      0.03471060436479999,
      0.03449311880247243,
      0.034277935233405436,
      0.03406502933080754,
      0.03385437689792356,
      0.033645954129681764,
      0.03343973741764614,
      0.03323570332124797,
      0.03303382878774806,
      0.03283409095381444,
      0.032636467122753185,
      0.032440934958837576,
      0.03224747237424158,
      0.032056057388691744,
      0.03186666823722865,
      0.03167928347912041,
      0.031493881910665406,
      0.031310442561632866,
      0.031128944600446733,
      0.030949367497478533,
      0.030771690976509964,
      0.030595894897137856,
      0.030421959296652125,
      0.030249864458221823,
      0.03007959097364841,
      0.029911119498657216,
      0.029744430941136102,
      0.029579506434119433,
      0.02941632724584274,
      0.029254874922812098,
      0.029095131185478216
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786169139152923,
      10.569935532438429,
      10.34508693456153,
      10.114228989537263,
      9.879702488641033,
      9.64355161736178,
      9.407580708952377,
      9.173345897671105,
      8.942185356999433,
      8.71520132958507,
      8.49325254718226,
      8.276950966464543,
      8.066669023940744,
      7.862558381303768,
      7.664577499735696,
      7.472525291097476,
      7.286074253201214,
      7.10480348370805,
      6.928230532955694,
      6.755840706320967,
      6.58711075765162,
      6.421529681223007,
      6.258616014246234,
      6.097931624696955,
      5.939091041949535,
      5.781765087333891,
      5.625690516557183,
      5.470671405520634,
      5.316582862188386,
      5.16337282600781,
      5.011054101444896,
      4.85971218378146,
      4.709492109456702,
      4.560596199237806,
      4.413287755355631,
      4.267881253001503,
      4.124731078552569,
      3.9842191940048406,
      3.846743388353866,
      3.7127095615137136,
      3.5825197906370576,
      3.4565496048821807,
      3.335136239861323,
      3.218571417137738,
      3.107093671850085,
      3.0008852509120025,
      2.900078589594681,
      2.804755737845317,
      2.7149413699988103,
      2.6306075685683257,
      2.5516850990387696,
      2.478055646506835,
      2.4095430680135683,
      2.3459108112456417,
      2.286879899330115,
      2.2321392573535945,
      2.181346211034204,
      2.1341203051009776,
      2.0900510898877482,
      2.048748877129761,
      2.0098528417513934,
      1.9730012107409638,
      1.9378925581704267,
      1.9042915212103986,
      1.8720130854367405,
      1.8409085146153683,
      1.8108569547686078,
      1.781754466627567,
      1.7535154916849136,
      1.7260702510428352,
      1.699360975333111,
      1.6733399428559659,
      1.6479668179640639,
      1.62320699387642,
      1.5990302642305194,
      1.575409848108017,
      1.5523216726125921,
      1.529743841176899,
      1.5076562373694014,
      1.48604022791286,
      1.4648784373151023,
      1.4441545755677239,
      1.4238533031062546,
      1.4039598575303198,
      1.3844599671339952,
      1.3653403774262514,
      1.3465892682205787,
      1.3281954609808755,
      1.3101481381054405,
      1.29243685763507,
      1.2750515585709417,
      1.25798255914459,
      1.241220550166026,
      1.2247565848995554,
      1.208582067616338,
      1.1926887694073076,
      1.1770692019491251,
      1.1617163544769329,
      1.1466233154281567,
      1.1317833265889672,
      1.117190604318714,
      1.1028400681603139,
      1.0887264239889034,
      1.0748442664804934,
      1.061188171490045,
      1.047752758290997,
      1.034532732078485,
      1.021522910857225,
      1.0087182430533188,
      0.9961138170350549,
      0.9837048663587128,
      0.9714867713405512,
      0.9594550583093664,
      0.9476053970217181,
      0.9359335971212,
      0.9244356044675067,
      0.913107496731616,
      0.9019454787178437,
      0.8909458778682425,
      0.8801051393855152,
      0.8694198219323979,
      0.858886733158415,
      0.8485032969363635,
      0.8382669813972173,
      0.8281751614275112,
      0.8182251724157592,
      0.8084143471681231,
      0.7987400509126463,
      0.7892003195097119,
      0.779793495608364,
      0.7705171063284887,
      0.7613683485688004,
      0.7523445206123377,
      0.7434430471328146,
      0.7346614816425667,
      0.725997485293609,
      0.7174488113548577,
      0.709013293719494,
      0.7006888383392303,
      0.6924734167438189,
      0.6843650608580453,
      0.6763618591466372,
      0.6684619530496712,
      0.6606636830734102,
      0.6529662929836225,
      0.645369176498587,
      0.637871396331082,
      0.6304717987598781,
      0.6231690917648193,
      0.6159618990502064,
      0.6088487969921517,
      0.601828340226357,
      0.5948990790407315,
      0.5880595707713502,
      0.5813083875868263,
      0.5746441217114231,
      0.5680653886212975,
      0.5615708290464333,
      0.5551591098686579,
      0.5488289249203446,
      0.5425789948782378,
      0.5364080669989263,
      0.5303149148285753,
      0.5242983377402213,
      0.518357160303844,
      0.5124902318502266,
      0.5066964256215991,
      0.5009746383523666,
      0.49532378944401284,
      0.48974282060225294,
      0.4842306949475204,
      0.47878639644082815,
      0.47340892955071895,
      0.46809731840196556,
      0.46285060647562976,
      0.4576678560496312,
      0.4525481474067491,
      0.44749057880433485,
      0.44249426560519983,
      0.4375583400975094,
      0.4326819508613663,
      0.4278642623694785,
      0.423104454722084,
      0.4184017230097701,
      0.4137552771946561,
      0.4091643414941147,
      0.40462815415924824,
      0.4001459670125492,
      0.3957170452039105,
      0.3913406668048099,
      0.3870161226737817,
      0.38274271600977083,
      0.3785197619499205,
      0.37434658736492343,
      0.37022253062419813,
      0.366146941280661,
      0.3621191799814621,
      0.35813855517977017,
      0.3542041742280078,
      0.3503151914798077,
      0.34647084958484753,
      0.34267045567351934,
      0.33891336471157874,
      0.33519896779156005,
      0.3315266836402429,
      0.32789595291881946,
      0.3243062338842967,
      0.3207569994225434,
      0.31724773498541825,
      0.3137779370441489,
      0.3103471119140495,
      0.30695477480719247,
      0.30360044969593175,
      0.3002836682447296,
      0.2970039697533251,
      0.29376090072554567,
      0.29055401464787284,
      0.2873830111809202,
      0.2842477635674074,
      0.28114807764400784,
      0.2780836879622706,
      0.27505428084299716,
      0.2720595105683337,
      0.2690990106927087,
      0.2661724021062728,
      0.2632792983507975,
      0.26041930977395594,
      0.25759215483739306,
      0.25479766332473164,
      0.25203561188313117,
      0.24930573604091497,
      0.24660773884242726,
      0.24394129664023775,
      0.2413060687178197,
      0.23870170411369948,
      0.23612784610558918,
      0.23358412913357876,
      0.23107013781689165,
      0.22858544594037444,
      0.22612965216851777,
      0.2237023738516393,
      0.22130324298254697,
      0.21893190296327977,
      0.21658800657684163,
      0.21427121462230583,
      0.21198119473771435,
      0.20971762044518372,
      0.20748017080838693,
      0.20526853001526302,
      0.2030823870622433,
      0.2009214354375734,
      0.19878537280236935,
      0.1966739011777925,
      0.194586726544699,
      0.1925235588981657,
      0.1904841095139376,
      0.18846805349938484,
      0.18647505343385615,
      0.18450479457400362,
      0.18255697898495654,
      0.1806313215152794,
      0.17872757831825017,
      0.1768456933441349,
      0.1749856409252623,
      0.173147323384304,
      0.17133059388428043,
      0.1695352721453593,
      0.16776115542473943,
      0.16600802747826662,
      0.16427567455993822,
      0.16256388058396004,
      0.16087242103446373,
      0.159201066444285,
      0.15754958488403104,
      0.15591774351000542,
      0.15430530978743576,
      0.15271205233088359,
      0.15113774132601585,
      0.14958214903157535,
      0.14804505001296223,
      0.14652622118533687,
      0.14502544206035556,
      0.14354249474009367,
      0.1420771639249585,
      0.14062923683405773,
      0.13919850335584158,
      0.1377847560164983,
      0.13638778993737077,
      0.13500740273682443,
      0.13364339469466383,
      0.13229556858142058,
      0.13096372948297688,
      0.12964768496341322,
      0.12834724501943037,
      0.12706222201097134,
      0.12579243070781776,
      0.12453768810832776,
      0.12329781351424816,
      0.12207262847258495,
      0.12086195674420484,
      0.11966562429909385,
      0.11848345919136008,
      0.1173152916260305,
      0.11616095402031543,
      0.11502028077334189,
      0.11389310830337998,
      0.1127792750982989,
      0.11167862161412617,
      0.11059099028838391,
      0.10951622543945938,
      0.10845417333778916,
      0.10740468211193603,
      0.10636764172103925,
      0.10534296790099915,
      0.10433055723861803,
      0.10333029319681875,
      0.102342021903074,
      0.10136553972341497,
      0.10040065550455092,
      0.099447195808962,
      0.09850500009479927,
      0.09757391737671842,
      0.0966538036863379,
      0.0957445205837821,
      0.09484593144556902,
      0.09395785870096497,
      0.0930801080105141,
      0.09221250894147777,
      0.09135490819883611,
      0.0905071649996741,
      0.08966914785080435,
      0.0888407320871218,
      0.08802179823130038,
      0.08721223088222033,
      0.08641191791759452,
      0.08562074990661799,
      0.08483861946882582,
      0.08406542121317359,
      0.0833010209205747,
      0.08254525935730973,
      0.08179799409100488,
      0.08105909749973816,
      0.08032845284940403,
      0.07960595140855692,
      0.07889149058982278,
      0.07818497222927526,
      0.07748630176101204,
      0.07679538733825876,
      0.07611213950265834,
      0.07543647067479078,
      0.07476829474437113,
      0.07410752710132734,
      0.07345408456157705,
      0.07280788492577958,
      0.07216884713030867,
      0.07153689118948076,
      0.07091193804293164,
      0.07029390963896308,
      0.06968272878600039,
      0.06907831924301971,
      0.06848060561591449,
      0.06788951484385133,
      0.06730497745724807,
      0.06672692408724813,
      0.06615528510616625,
      0.065589990943527,
      0.06503097221148206,
      0.06447815991353231,
      0.06393148556558548,
      0.06339088122979923,
      0.06285627961105873,
      0.06232761407620447,
      0.06180481863765677,
      0.061287828060327044,
      0.060776577735971,
      0.0602710038048814,
      0.05977104307038665,
      0.05927663307510556,
      0.05878771198892226,
      0.058304218706204225,
      0.05782609291412141,
      0.057353274880556006,
      0.056885705492652504,
      0.05642332623075874,
      0.055966079351365376,
      0.05551390778045565,
      0.05506675506652812,
      0.05462456532670414,
      0.05418728336970066,
      0.05375485461170189,
      0.05332722504207109,
      0.052904341277375706,
      0.052486150499923126,
      0.0520726004971056,
      0.051663639677768144,
      0.05125921703673085,
      0.05085928212791039,
      0.050463785036496685,
      0.05007267642632125,
      0.049685907455816025,
      0.04930342993124315,
      0.04892519605214482,
      0.04855115871175102,
      0.04818127126236712,
      0.04781548756907276,
      0.04745375841566635,
      0.047096008108275744,
      0.04674215447361406,
      0.04639212729722558,
      0.04604586518584907,
      0.0457033132351651,
      0.04536442131126969,
      0.045029142760966485,
      0.04469743360335263,
      0.04436925186828097,
      0.044044557206907746,
      0.04372331044795735,
      0.04340547350211326,
      0.0430910090797025,
      0.04277988062479038,
      0.04247205208956988,
      0.04216748810558669,
      0.041866153686403326,
      0.04156801435181885,
      0.041273035958312825,
      0.04098118487087787,
      0.040692427869945216,
      0.04040673202470993,
      0.040124064787173376,
      0.03984439392847252,
      0.039567687686658436,
      0.03929391453425254,
      0.0390230433667492,
      0.03875504340344925,
      0.03848988421975078,
      0.03822753555817124,
      0.037967967579034236,
      0.037711150804282036,
      0.037457056075376347,
      0.03720565442969483,
      0.036956917337116736,
      0.03671081650262414,
      0.03646732392743116,
      0.03622641202842536,
      0.035988053383849236,
      0.035752220893431864,
      0.03551888783442552,
      0.0352880276520725,
      0.03505961410401451,
      0.03483362124963177,
      0.03461002342807631,
      0.03438879525662557,
      0.03416991150563602,
      0.03395334739762169,
      0.033739078284329704,
      0.03352707977296222,
      0.033317327827812944,
      0.03310979862219439,
      0.032904468604241253,
      0.032701314426828776,
      0.032500313040820954,
      0.03230144156322857,
      0.03210467741367775,
      0.031909998254507514,
      0.03171738200827813,
      0.03152680681602316,
      0.031338251014834034,
      0.031151693215609233,
      0.030967112155627016,
      0.030784486949194428,
      0.03060379681161246,
      0.030425021277071133,
      0.030248140019781017,
      0.030073132920523868,
      0.029899980128016243,
      0.029728661952349102,
      0.029559158972351354,
      0.02939145194996516,
      0.029225521872622413,
      0.029061349916877387,
      0.028898917409673687,
      0.028738205910983874,
      0.028579197192415213
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786163035739023,
      10.569907376414067,
      10.345025151613179,
      10.11412573337378,
      9.879552891297127,
      9.64335278690759,
      9.40733156991873,
      9.173046628723931,
      8.941837023370919,
      8.714805531090525,
      8.492811043790716,
      8.276465495550388,
      8.06614115447962,
      7.861989413447173,
      7.663968402971216,
      7.471876684879995,
      7.285386426295821,
      7.104076338461722,
      6.927463714459864,
      6.7550337693573494,
      6.58626327595925,
      6.420641242958837,
      6.257686313861389,
      6.096960553669296,
      5.938078565832525,
      5.780711383412873,
      5.624596401959764,
      5.469538347724345,
      5.315412886327385,
      5.162168740573841,
      5.0098193989190145,
      4.858450853937213,
      4.708208556311916,
      4.559295397810557,
      4.411975185506019,
      4.266562809401162,
      4.123412959438197,
      3.9829077726472932,
      3.8454451387072015,
      3.711431343988366,
      3.58126872122612,
      3.455332237420868,
      3.3339584638062405,
      3.2174382912247417,
      3.1060091331296524,
      2.9998523427122894,
      2.8990995570828506,
      2.803831928832181,
      2.7140731413395227,
      2.6297946676675457,
      2.5509266788991622,
      2.477349516694007,
      2.408885814232936,
      2.3452977364961543,
      2.286305816895603,
      2.2315986815548365,
      2.1808334549265207,
      2.1336292194678186,
      2.089575500496753,
      2.0482834197321544,
      2.0093924231763807,
      1.9725413351610885,
      1.937429824028411,
      1.9038234033494803,
      1.8715377180898491,
      1.8404245322819226,
      1.810363410390983,
      1.7812506501468972,
      1.7530009486642415,
      1.7255446671755355,
      1.6988240089164486,
      1.6727913399159586,
      1.647406460253774,
      1.6226348597292743,
      1.5984464004922452,
      1.5748143496315687,
      1.5517146671557651,
      1.529125478446783,
      1.5070266817131035,
      1.4853996520635662,
      1.464227018566596,
      1.4434924927473447,
      1.4231807348006,
      1.403277057400975,
      1.3837671960156261,
      1.3646378807888475,
      1.3458772912459658,
      1.3274742213926176,
      1.3094178323695467,
      1.2916976660355266,
      1.2743036492071498,
      1.2572260902891235,
      1.2404556719961528,
      1.2239834413123871,
      1.207800797108035,
      1.1918995346671566,
      1.176272204631413,
      1.160911770692464,
      1.14581130266987,
      1.130964049935318,
      1.1163642648289926,
      1.1020068454763794,
      1.0878864762272116,
      1.0739977355036021,
      1.0603351867992419,
      1.04689344050868,
      1.0336671945985407,
      1.0206512616483205,
      1.0078405862090662,
      0.9952302532581544,
      0.9828154933966451,
      0.9705916845754137,
      0.9585543508408234,
      0.9466991600057297,
      0.9350219203643175,
      0.9235185763100803,
      0.912185204135589,
      0.9010180073546765,
      0.890013312206988,
      0.8791675625768616,
      0.8684773159969149,
      0.857939603946837,
      0.8475518926384557,
      0.8373115638246782,
      0.8272159321481335,
      0.8172622911111488,
      0.8074479436824977,
      0.797770341443104,
      0.7882276608107893,
      0.778818133147966,
      0.769539197204628,
      0.7603880164403387,
      0.7513618648360476,
      0.7424581520637082,
      0.7336744210282944,
      0.7250083253114394,
      0.7164576128588261,
      0.7080201137796387,
      0.6996937315611776,
      0.6914764355574383,
      0.6833662562269897,
      0.6753612807331196,
      0.6674596494716063,
      0.6596599120432735,
      0.6519614987428831,
      0.6443636754115412,
      0.6368654168054202,
      0.6294655078455028,
      0.6221626139567684,
      0.6149553291807028,
      0.6078422094391659,
      0.6008217948466802,
      0.5938926254989568,
      0.5870532516086915,
      0.5803022404465453,
      0.5736381806764158,
      0.5670596854313756,
      0.5605653936904196,
      0.5541539710881948,
      0.5478241104478164,
      0.5415745317413846,
      0.5354039816893279,
      0.5293112334363999,
      0.5232950859286856,
      0.5173543633275769,
      0.5114879145145946,
      0.505694612616551,
      0.49997335399489823,
      0.4943230578209966,
      0.4887426654267527,
      0.48323113961214886,
      0.4777874642680226,
      0.472410643478159,
      0.4670997011958427,
      0.46185368058187737,
      0.45667164351562073,
      0.4515526702294277,
      0.4464958586120524,
      0.4415003237915898,
      0.43656519769566654,
      0.4316896285902374,
      0.4268727808023462,
      0.42211383409426934,
      0.4174119833006394,
      0.4127664380264069,
      0.4081764222547976,
      0.40364117384105413,
      0.3991599443500896,
      0.39473199860445535,
      0.3903566145027688,
      0.38603308247395823,
      0.38176070530523726,
      0.37753879796426176,
      0.3733666870851574,
      0.36924371072938006,
      0.36516921819372433,
      0.3611425697896642,
      0.35716300101545817,
      0.3532296101140336,
      0.349341576931006,
      0.345498161927187,
      0.341698684663765,
      0.3379425087263477,
      0.3342290309605194,
      0.3305576742067523,
      0.32692788191845945,
      0.32333911412337685,
      0.31979084479189224,
      0.3162825601320497,
      0.3128137570944517,
      0.30938394205666675,
      0.3059926305354841,
      0.30263934623540495,
      0.29932362074072255,
      0.29604499308758225,
      0.2928030095969746,
      0.28959722356165934,
      0.2864273923929121,
      0.28329339624073047,
      0.280195020457549,
      0.2771319850476674,
      0.2741039659736686,
      0.2711106101505386,
      0.26815154586280376,
      0.26522639029738926,
      0.2623347543987711,
      0.2594762727737366,
      0.2566507255551089,
      0.2538579239390405,
      0.25109762449367906,
      0.24836954868323732,
      0.2456733858625674,
      0.24300880275723444,
      0.24037545182676304,
      0.23777297724725338,
      0.23520101885431452,
      0.23265919873911292,
      0.23014708568697684,
      0.2276642597238323,
      0.22521032367379518,
      0.22278489784774327,
      0.22038761616245256,
      0.2180181233332372,
      0.21567607314199413,
      0.21336112690962178,
      0.21107295249767716,
      0.2088112237348648,
      0.2065756198457251,
      0.2043658250327971,
      0.2021815281089458,
      0.20002242242063997,
      0.19788820564203735,
      0.19577857961765285,
      0.19369325021487585,
      0.19163192726256495,
      0.1895943148097337,
      0.1875800776584406,
      0.18558888375039329,
      0.18362042186867952,
      0.1816743965851096,
      0.17975054752660358,
      0.1778488013299962,
      0.17596913554801402,
      0.1741114536983113,
      0.17227560869617847,
      0.170461419133284,
      0.16866868029421173,
      0.1668971747034211,
      0.16514668755768447,
      0.16341699942398807,
      0.16170788242318435,
      0.16001910379987042,
      0.15835042841389466,
      0.15670162025273418,
      0.15507244365143905,
      0.1534626641609278,
      0.1518720489601757,
      0.15030036739959535,
      0.14874739111705554,
      0.14721289414154087,
      0.14569665315608119,
      0.1441984473868702,
      0.1427180587162344,
      0.14125527181015485,
      0.1398098739043731,
      0.13838165483383064,
      0.13697040715922143,
      0.13557592600958357,
      0.134198009098263,
      0.13283645654366383,
      0.13149107106018135,
      0.1301616578966351,
      0.12884802468747814,
      0.127549981502549,
      0.12626734069495468,
      0.12499991700443955,
      0.12374752747752504,
      0.12250999142103144,
      0.12128713042652854,
      0.12007876833236769,
      0.11888473111049844,
      0.11770484686874184,
      0.11653894587271303,
      0.11538686053712963,
      0.11424842538593576,
      0.11312347683534055,
      0.1120118533839979,
      0.11091339552389502,
      0.10982794573457032,
      0.10875534839499966,
      0.10769548403709439,
      0.1066482653939393,
      0.10561358868910181,
      0.10459133606297201,
      0.1035813804309694,
      0.10258358876580542,
      0.10159777770931017,
      0.10062373386787857,
      0.09966126737851613,
      0.09871020574783151,
      0.0977703890675112,
      0.09684166685534375,
      0.09592389558745885,
      0.09501693702684413,
      0.09412064974375885,
      0.09323484904864575,
      0.09235934487649394,
      0.09149396977857906,
      0.09063857257960584,
      0.08979301404659217,
      0.08895716379317059,
      0.08813089794920581,
      0.08731409753617146,
      0.08650664771367642,
      0.08570843658337127,
      0.08491935493945081,
      0.08413929571728301,
      0.08336815369194454,
      0.08260579618764483,
      0.08185206442267949,
      0.08110681579832026,
      0.08036992254274845,
      0.0796412678863938,
      0.07892074308742497,
      0.07820824543626051,
      0.07750367683667467,
      0.07680694275126942,
      0.07611795146907147,
      0.07543661355577118,
      0.07476284138556744,
      0.07409654904601244,
      0.07343765200080914,
      0.07278606695526327,
      0.07214171186952877,
      0.0715045057824131,
      0.07087436879520136,
      0.07025122190352195,
      0.06963498703310882,
      0.06902558716466427,
      0.06842294602393847,
      0.06782698829621071,
      0.0672376403590673,
      0.06665483259388415,
      0.06607849595195422,
      0.06550856104263639,
      0.06494495846313136,
      0.06438761899757664,
      0.06383647380423715,
      0.06329145447016296,
      0.06275249312173616,
      0.06221952260393309,
      0.06169247630288483,
      0.06117128834897139,
      0.060655893568258554,
      0.06014622744938165,
      0.059642226236909936,
      0.059143826785725606,
      0.05865096667564752,
      0.058163584163100183,
      0.05768161818640999,
      0.057205008475541906,
      0.05673369531797974,
      0.056267619679868104,
      0.0558067231962315,
      0.05535094814134093,
      0.05490023751613954,
      0.054454534906155344,
      0.05401378453563113,
      0.05357793123853867,
      0.0531469204824637,
      0.05272069830265657,
      0.052299211429466634,
      0.051882407109496174,
      0.05147023321528477,
      0.0510626382109107,
      0.05065957116451946,
      0.05026098161996769,
      0.04986681970240869,
      0.049477036165908775,
      0.04909158226831094,
      0.04871040985485112,
      0.0483334712499647,
      0.04796071937708389,
      0.04759210756207162,
      0.04722758981592657,
      0.04686712059180185,
      0.046510633223375016,
      0.04615804353910542,
      0.045809278566404356,
      0.04546427483461907,
      0.045122975942660286,
      0.04478533067531082,
      0.04445129158865213,
      0.04412081425877872,
      0.04379385639927232,
      0.043470377406744386,
      0.043150338011515445,
      0.04283369995902766,
      0.042520425866829886,
      0.04221047918994788,
      0.041903823916035324,
      0.04160042457738858,
      0.041300246220622866,
      0.04100325440378266,
      0.04070941516347628,
      0.04041869484736091,
      0.040131060227466646,
      0.03984647838639719,
      0.03956491686852043,
      0.03928634350538032,
      0.03901072651274006,
      0.03873803450950784,
      0.03846823641096659,
      0.038201301434355614,
      0.03793719916000199,
      0.03767589954268086,
      0.037417372771969284,
      0.03716158935921229,
      0.03690852019399206,
      0.036658136401563415,
      0.0364104094145427,
      0.036165311074172465,
      0.035922813434333185,
      0.03568288893220512,
      0.03544551021353183,
      0.03521065026748002,
      0.034978282317579074,
      0.03474837990481779,
      0.034520916755316246,
      0.03429586704020899,
      0.034073205179192836,
      0.03385290576257291,
      0.03363494370955034,
      0.03341929421125911,
      0.03320593268786148,
      0.03299483485451871,
      0.032785976651815416,
      0.032579334291403264,
      0.0323748842997365,
      0.03217260336256879,
      0.03197246842123198,
      0.031774456719176364,
      0.03157854569376846,
      0.031384713082038766,
      0.031192936830199077,
      0.03100319513777928,
      0.03081546634994642,
      0.030629729111230217,
      0.030445962262786612,
      0.03026414489952527,
      0.030084256291320357,
      0.029906275954570936,
      0.029730183692804814,
      0.029555959482550413,
      0.029383583503049718,
      0.02921303608084745,
      0.029044297822712714,
      0.02887734956502852,
      0.028712172289192615,
      0.028548747202919302,
      0.02838705568568023,
      0.028227079327182904,
      0.028068799902751407
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786156970065194,
      10.569879399272216,
      10.344963779207626,
      10.11402319035343,
      9.879404359413687,
      9.643155408974517,
      9.40708429393068,
      9.172749648184325,
      8.941491412425163,
      8.714412892551769,
      8.492373137565624,
      8.27598405662706,
      8.065617750279575,
      7.861425343072686,
      7.663364635564708,
      7.471233841066516,
      7.284704796509987,
      7.103355828639742,
      6.926703974889497,
      6.754234362385134,
      6.5854237822999355,
      6.4197612592318185,
      6.256765543403753,
      6.09599889579437,
      5.937075942868408,
      5.779667982584297,
      5.623513036109584,
      5.468416478571544,
      5.314254540753784,
      5.1609767246405776,
      5.008597197420154,
      4.857202444258442,
      4.706938325890301,
      4.558008297583319,
      4.410676663692757,
      4.265258722770369,
      4.12210946179484,
      3.981611186828172,
      3.844161884763678,
      3.7101682109613234,
      3.580032751108973,
      3.4541299214227883,
      3.3327956304699184,
      3.216319861175733,
      3.1049389212925993,
      2.998833364727814,
      2.898134034098731,
      2.80292118992112,
      2.7132175285401647,
      2.628993918103963,
      2.5501797769742005,
      2.4766541419217223,
      2.408238601288007,
      2.344694045752775,
      2.285740521940242,
      2.2310663621276086,
      2.1803284914012524,
      2.133145513011879,
      2.0891069291809927,
      2.0478246853104793,
      2.0089384380412643,
      1.9720876775689136,
      1.9369731486164559,
      1.9033612277373377,
      1.8710682092511286,
      1.839946349158202,
      1.8098755896328065,
      1.7807525092646712,
      1.7524920522705048,
      1.7250247132290786,
      1.6982926292288485,
      1.6722482989794072,
      1.6468516534732176,
      1.622068275523242,
      1.5978680927162017,
      1.5742244182802372,
      1.5511132435552584,
      1.5285127151038482,
      1.5064027443367514,
      1.484764714880665,
      1.4635812599811784,
      1.4428360921039454,
      1.4225138711633876,
      1.4025999822692474,
      1.3830801720282713,
      1.3639411546546922,
      1.3451711088670502,
      1.3267588006388995,
      1.3086933697331369,
      1.2909643418536967,
      1.2735616312993812,
      1.2564755365637648,
      1.2396967325840285,
      1.223216259970342,
      1.207025512042545,
      1.1911163086831469,
      1.175481239391143,
      1.1601132425594844,
      1.1450053694780673,
      1.130150876884105,
      1.1155440527734282,
      1.1011797737284708,
      1.0870527021892091,
      1.0731574004436213,
      1.059488420196901,
      1.0460403628213393,
      1.0328079196200588,
      1.0197858977497236,
      1.0069692369191792,
      0.9943530189643661,
      0.9819324719796371,
      0.9697029712329637,
      0.9576600388287316,
      0.9457993408208173,
      0.9341166835727207,
      0.9226080099868879,
      0.9112693949997125,
      0.900097040802228,
      0.8890872724973539,
      0.878236533018683,
      0.8675414582760722,
      0.8569992763400782,
      0.8466073996434098,
      0.8363631368263722,
      0.8262637516589413,
      0.8163065016650847,
      0.8064886647237168,
      0.7968077904096856,
      0.7872621867785102,
      0.7778499768764158,
      0.7685685129182231,
      0.7594149260871893,
      0.7503864664036387,
      0.7414805289488381,
      0.7326946464768609,
      0.7240264654258315,
      0.7154737283330129,
      0.7070342615371402,
      0.6987059655877094,
      0.6904868079995131,
      0.682374817766691,
      0.6743680808005287,
      0.6664647367532557,
      0.658663656827933,
      0.6509643078951872,
      0.6433658399791788,
      0.6358671475073593,
      0.6284669596566713,
      0.6211639027339874,
      0.6139565437380932,
      0.6068434196157352,
      0.5998230574735582,
      0.5928939881819467,
      0.5860547555339012,
      0.5793039222932261,
      0.5726400740506113,
      0.5660618215450556,
      0.5595678021530694,
      0.5531566803302406,
      0.546827147929654,
      0.5405779242549534,
      0.5344077554215075,
      0.528315414075066,
      0.522299699066532,
      0.516359434222543,
      0.510493468124043,
      0.5047006734969655,
      0.4989799463215668,
      0.49333020555357165,
      0.4877503922905625,
      0.482239469073227,
      0.4767964194513778,
      0.4714202472826339,
      0.4661099762762702,
      0.46086464940198474,
      0.4556833282426073,
      0.4505650926483593,
      0.4455090402119088,
      0.4405142858971405,
      0.43557996139061317,
      0.4307052146097942,
      0.4258892094964259,
      0.42113112558889126,
      0.4164301573490644,
      0.41178551416045556,
      0.40719641962581793,
      0.4026621114122135,
      0.3981818407533989,
      0.39375487232359224,
      0.3893804836192895,
      0.3850579648665105,
      0.38078661859048574,
      0.3765657592549281,
      0.372394713175693,
      0.36827281817554725,
      0.36419942331171873,
      0.3601738766221615,
      0.3561953469245631,
      0.3522629357140489,
      0.34837584631334456,
      0.34453335555504966,
      0.34073479433311676,
      0.3369795343079244,
      0.3332669777795602,
      0.32959655129230486,
      0.3259677005309288,
      0.32237988716590904,
      0.31883258632697653,
      0.315325285027632,
      0.31185748041611905,
      0.3084286791582042,
      0.3050383967033402,
      0.3016861566743352,
      0.29837149048072287,
      0.29509393699004344,
      0.29185304232017306,
      0.28864838782851904,
      0.2854797750719431,
      0.2823470624485099,
      0.27925001902036173,
      0.2761883531287135,
      0.2731617324723266,
      0.2701697980003789,
      0.2672121738986011,
      0.2642884741383027,
      0.2613983074707053,
      0.25854136223397833,
      0.25571744842413385,
      0.25292635357403886,
      0.25016781820341655,
      0.24744154919370998,
      0.2447472237458571,
      0.24208450012251115,
      0.23945302474390262,
      0.23685243745922704,
      0.23428237502656424,
      0.23174243876665312,
      0.22923219347444418,
      0.22675122448781102,
      0.22429913844208516,
      0.22187555816241092,
      0.21948011924930147,
      0.21711246769597803,
      0.21477225796943625,
      0.21245915189119638,
      0.2101728176654076,
      0.20791292922887247,
      0.20567916579372622,
      0.2034712115683432,
      0.20128875526148782,
      0.1991314901313652,
      0.19699911379103754,
      0.19489132793545713,
      0.19280783824333,
      0.19074835440311264,
      0.18871257066551878,
      0.18670014571685664,
      0.18471075224426695,
      0.18274408232630532,
      0.18079985584642322,
      0.17887797887562268,
      0.17697843279480802,
      0.1751011225237838,
      0.17324590090722966,
      0.17141258540340693,
      0.16960096959544468,
      0.16781083468204852,
      0.16604196469294105,
      0.16429413675987606,
      0.16256711977168728,
      0.1608606778384771,
      0.15917457251904585,
      0.1575085646285006,
      0.1558624153526331,
      0.15423588715094552,
      0.15262874422918973,
      0.15104075292042216,
      0.14947168191253332,
      0.14792130227228337,
      0.14638938776235755,
      0.14487571483543063,
      0.14338006260462918,
      0.14190221294286032,
      0.1404419504315082,
      0.13899906219026126,
      0.13757333808376898,
      0.13616457073956018,
      0.13477255530773144,
      0.13339708943218312,
      0.1320379733121326,
      0.13069500968306688,
      0.1293680037867356,
      0.12805676320899098,
      0.12676109807552305,
      0.12548082088031542,
      0.12421574634092773,
      0.12296569153482352,
      0.12173047578869628,
      0.12050992075359211,
      0.11930385027155614,
      0.11811209037024999,
      0.11693446918856339,
      0.11577081711307609,
      0.11462096658482922,
      0.11348475205318648,
      0.1123620099933921,
      0.11125257902681329,
      0.1101562996411049,
      0.10907304053001676,
      0.1080027110089708,
      0.10694520777299737,
      0.1059004121190759,
      0.10486819517734601,
      0.10384842174118392,
      0.10284095261519531,
      0.10184563802674321,
      0.10086227564821974,
      0.09989065491917432,
      0.09893058841612887,
      0.09798190536697708,
      0.09704444714606808,
      0.09611806408828516,
      0.0952026133424575,
      0.09429795722118865,
      0.09340394989128638,
      0.09252040017729063,
      0.09164712199580911,
      0.09078395083290737,
      0.08993073754757487,
      0.08908734437903554,
      0.08825364189477024,
      0.08742950692461508,
      0.08661482121849928,
      0.08580947026941373,
      0.08501334258304716,
      0.08422632920679171,
      0.08344832318894697,
      0.08267921941438422,
      0.08191888740992367,
      0.08116716903702823,
      0.08042392123222507,
      0.0796890159366315,
      0.07896233619055881,
      0.07824377316780703,
      0.0775332241224736,
      0.07683059095694175,
      0.07613577912603038,
      0.07544869690127345,
      0.07476925490364722,
      0.07409736560697129,
      0.07343294309986549,
      0.072775902843962,
      0.07212616171095133,
      0.07148363772609898,
      0.0708482499272064,
      0.07021991846911668,
      0.06959856442413757,
      0.06898410984638381,
      0.0683764776332208,
      0.06777559170159295,
      0.06718137669412937,
      0.06659375870578156,
      0.06601266768564802,
      0.06543803493067481,
      0.06486979132880563,
      0.06430786761981253,
      0.063752194805035,
      0.06320270402644891,
      0.06265932712100288,
      0.062121996305466054,
      0.061590644470874555,
      0.061065205116296394,
      0.06054561246649832,
      0.06003180140786449,
      0.05952370749990056,
      0.05902126699251196,
      0.05852441679177364,
      0.05803309462229578,
      0.057547238884065696,
      0.05706678859155894,
      0.05659168334037447,
      0.05612186354664746,
      0.05565727025050706,
      0.05519784519887051,
      0.05474353067296121,
      0.054294269738087556,
      0.053850006057069036,
      0.053410683890788076,
      0.05297624816128112,
      0.052546644431551416,
      0.052121818798694736,
      0.051701717951411236,
      0.05128628932184665,
      0.05087548076334043,
      0.05046924080550521,
      0.05006751855233184,
      0.04967026369396883,
      0.04927742641238945,
      0.048888957515166,
      0.04850480830092251,
      0.04812493063677455,
      0.04774927695833197,
      0.04737780025623799,
      0.04701045394682372,
      0.04664719199911964,
      0.046287968942945325,
      0.04593272937834446,
      0.045581391052505166,
      0.04523387738827509,
      0.04489012242732413,
      0.044550067932994826,
      0.04421366139160496,
      0.043880854516320116,
      0.04355160214268122,
      0.04322586147352386,
      0.04290359163529329,
      0.042584753206912254,
      0.04226930774759479,
      0.04195721779663718,
      0.041648446729984835,
      0.041342958490219434,
      0.04104071759524127,
      0.04074168920635652,
      0.04044583891263984,
      0.04015313270803388,
      0.039863537023705424,
      0.03957701864143308,
      0.03929354475166326,
      0.03901308291099279,
      0.0387356010236007,
      0.03846106733975921,
      0.03818945053228257,
      0.037920719618430965,
      0.037654843826191775,
      0.037391792814271685,
      0.03713153649301069,
      0.036874045091205704,
      0.03661928925280593,
      0.036367239861664354,
      0.03611786815678864,
      0.0358711456991998,
      0.03562704422570714,
      0.035385535917115477,
      0.0351465931331902,
      0.0349101886195825,
      0.034676295433022114,
      0.034444886823117346,
      0.03421593634404611,
      0.033989417890920505,
      0.03376530565811326,
      0.03354357404147519,
      0.033324197722491206,
      0.03310715167754387,
      0.032892411121102194,
      0.03267995155827125,
      0.03246974868569548,
      0.032261778500011475,
      0.03205601735337186,
      0.03185244180356776,
      0.03165102849685409,
      0.03145175457267553,
      0.03125459728784791,
      0.031059534096115747,
      0.030866542744313857,
      0.03067560111209486,
      0.030486687481553372,
      0.03029978034386151,
      0.030114858318396484,
      0.02993190031705085,
      0.029750885521979933,
      0.029571793272273654,
      0.02939460311355533,
      0.029219294822627456,
      0.029045848363351355,
      0.02887424398624215,
      0.028704462173387315,
      0.028536483555483952,
      0.02837028893469635,
      0.02820585931432716,
      0.02804317598348199,
      0.027882220376836027,
      0.027722974151436087,
      0.02756541914350748
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786150942640065,
      10.569851607217075,
      10.34490283080976,
      10.113921382821632,
      9.879256924885512,
      9.642959521265064,
      9.406838923287486,
      9.172455002731908,
      8.941148574286172,
      8.714023468259382,
      8.491938888136248,
      8.275506716572874,
      8.065098883297415,
      7.860866244590337,
      7.662766274511886,
      7.470596837908489,
      7.284029444320197,
      7.102642037766241,
      6.9259514016656585,
      6.753442575533596,
      6.584592371767995,
      6.4188898312973635,
      6.255853809578245,
      6.095046764281801,
      5.936083342849929,
      5.778635106612996,
      5.622440681998603,
      5.467306094133819,
      5.313108153832476,
      5.159797138039237,
      5.0073878860074235,
      4.855967370148931,
      4.7056818578989015,
      4.556735359912605,
      4.409392671213284,
      4.263969490525442,
      4.120821095974302,
      3.980329958324814,
      3.8428941561518597,
      3.708920651483099,
      3.5788122909791342,
      3.4529429967198606,
      3.3316480159265716,
      3.215216426495418,
      3.103883434669956,
      2.9978288008114293,
      2.8971825795152704,
      2.802024143049178,
      2.712375206212164,
      2.628206038605862,
      2.5494453131645884,
      2.4759707717257693,
      2.4076029652237567,
      2.3441015180239053,
      2.2851859948994155,
      2.230544440702695,
      2.179833586471611,
      2.132671515422702,
      2.088647728125224,
      2.0473750307298553,
      2.0084932916577487,
      1.9716426634795483,
      1.9365249571871173,
      1.902907404700014,
      1.8706069437644708,
      1.8394763185663165,
      1.8093958173077003,
      1.7802623128825577,
      1.7519910201321727,
      1.7245125227929454,
      1.697768905318403,
      1.6717128336297427,
      1.6463043620489726,
      1.6215091616271047,
      1.597297221749982,
      1.5736418984260798,
      1.5505192127257048,
      1.5279073307209063,
      1.5057861760483477,
      1.4841371393520417,
      1.4629428574549284,
      1.4421870443193883,
      1.4218543589021788,
      1.4019302246369505,
      1.3824004445339295,
      1.3632517258620656,
      1.34447222723801,
      1.3260506856141534,
      1.3079762193430464,
      1.2902383378823228,
      1.2728269425573,
      1.2557323218940717,
      1.2389451429879297,
      1.2224564395963664,
      1.2062575997147011,
      1.1903404675336855,
      1.1746976714181527,
      1.159322124056862,
      1.1442068579502986,
      1.1293451367812752,
      1.1147312844345267,
      1.1003601566332848,
      1.0862263939241432,
      1.072324542928989,
      1.0586491434168674,
      1.0451947874832097,
      1.0319561593549893,
      1.0189280608558604,
      1.0061054276488253,
      0.9934833378466559,
      0.9810570165520128,
      0.9688218368763707,
      0.9567733188420688,
      0.9449071265988755,
      0.933219064989297,
      0.9217050755246381,
      0.9103612318812622,
      0.8991837347659722,
      0.8881689077763626,
      0.8773131927767928,
      0.8666133912383666,
      0.8560668474187366,
      0.8456708820406291,
      0.8354227404349545,
      0.8253196418883911,
      0.8153588128195212,
      0.805537509181876,
      0.7958534706024335,
      0.786305017380104,
      0.7768901762458233,
      0.7676062214390651,
      0.7584502558069603,
      0.7494195084542533,
      0.74051136215656,
      0.731723340869747,
      0.723053084541113,
      0.7144983315265897,
      0.7060569048762461,
      0.6977267025249521,
      0.6895056901607022,
      0.6813918955244143,
      0.673383403634725,
      0.6654784588124544,
      0.6576762025781676,
      0.6499760312143683,
      0.6423769955905078,
      0.6348779206824697,
      0.6274774874634258,
      0.6201742889261129,
      0.6129668686013905,
      0.6058537474211358,
      0.5988334410240833,
      0.5919044722489464,
      0.5850653795735578,
      0.5783147217908304,
      0.5716510818202798,
      0.5650730684283346,
      0.5585793175009447,
      0.5521684924732768,
      0.5458392843841462,
      0.5395904117668823,
      0.5334206202815294,
      0.5273286821966183,
      0.5213133959800429,
      0.51537358508829,
      0.5095080977880433,
      0.5037158064387163,
      0.4979956069255785,
      0.49234641799321777,
      0.48676718048218437,
      0.48125685670042145,
      0.4758144297794313,
      0.4704389032723027,
      0.4651293005130297,
      0.45988466422257096,
      0.45470405577953793,
      0.4495865547675705,
      0.4445312584956171,
      0.43953728162121997,
      0.4346037555727786,
      0.42972982802720816,
      0.424914662520211,
      0.4201574382671934,
      0.41545734966347214,
      0.41081360569250275,
      0.4062254297277054,
      0.40169205901621674,
      0.39721274450694255,
      0.39278675049075845,
      0.38841335428273566,
      0.3840918456925839,
      0.3798215268947164,
      0.37560171226672745,
      0.3714317278666375,
      0.36731091113462566,
      0.3632386108449728,
      0.3592141377184824,
      0.3552366066181137,
      0.3513051476721898,
      0.3474189837005458,
      0.3435774050273684,
      0.33977975214001394,
      0.33602540307480394,
      0.33231376471077523,
      0.3286442666295302,
      0.32501635670755263,
      0.3214294979416493,
      0.317883166332215,
      0.3143768492323577,
      0.3109100440942145,
      0.3074822576853652,
      0.3040930053658965,
      0.30074181067933703,
      0.2974282048619522,
      0.2941517265623822,
      0.2909119215804597,
      0.28770840082423016,
      0.28454100899387635,
      0.2814095813903501,
      0.27831387074573544,
      0.27525357411354123,
      0.2722283511097153,
      0.26923783689604847,
      0.2662816514051188,
      0.2633594056937751,
      0.2604707249934844,
      0.2576153519415198,
      0.2547930988130864,
      0.25200373006492705,
      0.24924697212361113,
      0.24652251727298902,
      0.24383003245554172,
      0.2411691685614442,
      0.2385395668974386,
      0.23594086363587666,
      0.23337268961693716,
      0.23083462727608753,
      0.22832624101165794,
      0.22584712131856854,
      0.22339687821184978,
      0.22097513688117978,
      0.21858153460211607,
      0.21621571828216016,
      0.2138773430401875,
      0.2115660711649059,
      0.20928157107993675,
      0.20702351687179718,
      0.2047915878063071,
      0.20258546802340818,
      0.20040484628177682,
      0.1982494157398445,
      0.19611887374711745,
      0.19401292189996702,
      0.19193126584045767,
      0.1898736150395416,
      0.18783965103369696,
      0.18582903074629903,
      0.1838414312323165,
      0.18187654896780162,
      0.17993426531845358,
      0.1780145658388409,
      0.17611735731815634,
      0.174242492689146,
      0.17238978840749514,
      0.170559036305723,
      0.168750016110696,
      0.1669625104151727,
      0.16519629322192972,
      0.16345113009097856,
      0.16172678185417377,
      0.16002300683291468,
      0.1583395626354991,
      0.15667620739535537,
      0.15503270037819403,
      0.1534088026863314,
      0.15180427762982943,
      0.15021889084911183,
      0.14865241049462702,
      0.1471046074454194,
      0.1455752552557646,
      0.14406413029443135,
      0.14257101149784868,
      0.14109568070993556,
      0.13963792249016985,
      0.13819752406383368,
      0.1367742751784533,
      0.1353679685282391,
      0.13397839919521262,
      0.132605364893308,
      0.13124866593438447,
      0.1299081050373672,
      0.12858348742490933,
      0.12727462066089912,
      0.1259813148519661,
      0.12470338253896227,
      0.12344063858403113,
      0.1221929000780787,
      0.12095998640158856,
      0.11974171921036607,
      0.11853792238469289,
      0.11734842192831277,
      0.11617304614820562,
      0.11501162537129354,
      0.11386399203715135,
      0.11272998062590472,
      0.1116094276821159,
      0.11050218736563341,
      0.10940816537020844,
      0.10832725964760813,
      0.107259351144419,
      0.1062043097138657,
      0.10516199802484033,
      0.10413227441187727,
      0.10311499468330866,
      0.10211001355632636,
      0.10111716801766436,
      0.10013624110337081,
      0.09916702712729981,
      0.09820934207910029,
      0.09726301759267185,
      0.09632789682588523,
      0.09540383140232724,
      0.09449067932021088,
      0.09358830350254765,
      0.09269655279193752,
      0.09181523208269603,
      0.09094415893162873,
      0.09008317135919662,
      0.08923212205754798,
      0.08839087464034044,
      0.08755930067852988,
      0.08673727776555828,
      0.08592468819062833,
      0.08512141780796231,
      0.08432735533328109,
      0.08354239202631915,
      0.08276642119816201,
      0.08199933789524706,
      0.08124101450718405,
      0.08049129351203993,
      0.07975003116737567,
      0.07901709899837647,
      0.07829237969657155,
      0.07757576426082222,
      0.07686714987318531,
      0.07616643832371409,
      0.07547353508563437,
      0.07478834848417962,
      0.07411078911177692,
      0.0734407694617812,
      0.0727782036393513,
      0.07212300721833648,
      0.07147509706243299,
      0.07083439123054658,
      0.07020080892846502,
      0.069574270209698,
      0.06895469628436017,
      0.06834200926915887,
      0.0677361321603894,
      0.06713698883869414,
      0.06654450412180805,
      0.06595860379525341,
      0.065379217302113,
      0.0648062763003762,
      0.06423971188626601,
      0.06367945500882441,
      0.06312543672740956,
      0.06257758845688341,
      0.06203584206490162,
      0.06150012993234597,
      0.06097038504124288,
      0.06044654097271546,
      0.059928532018563234,
      0.05941629313312662,
      0.058909759954760596,
      0.05840886875640792,
      0.05791355662468285,
      0.05742376120917642,
      0.056939420957681404,
      0.056460474918482544,
      0.05598686290458543,
      0.05551852536785672,
      0.05505540341271558,
      0.0545974387931006,
      0.05414457397234265,
      0.05369675200759473,
      0.05325391656704672,
      0.05281601199704896,
      0.05238298333159026,
      0.05195477616422111,
      0.05153133663994575,
      0.05111261161465988,
      0.05069854842595218,
      0.05028909510484351,
      0.049884200195645885,
      0.04948381276233835,
      0.049087882578295695,
      0.04869636001954676,
      0.04830919587472385,
      0.04792634151589302,
      0.04754774887766289,
      0.04717337045416594,
      0.04680315920307704,
      0.04643706864530307,
      0.046075052877660616,
      0.04571706641934743,
      0.04536306104969247,
      0.045012962800655414,
      0.0446666908705422,
      0.044324176242679196,
      0.043985358491934315,
      0.04365018359924793,
      0.043318602198229514,
      0.04299056832990597,
      0.042666038748248356,
      0.04234497207990209,
      0.04202732865043282,
      0.041713069915603085,
      0.04140215830475822,
      0.04109455710903229,
      0.0407902302871696,
      0.04048914235649336,
      0.04019125840389504,
      0.03989654406699806,
      0.039604965415992684,
      0.03931648893545913,
      0.039031081476166636,
      0.038748710227328204,
      0.03846934277282781,
      0.03819294710450419,
      0.03791949151294527,
      0.03764894467651582,
      0.03738127561858829,
      0.037116453614984384,
      0.036854448385551596,
      0.03659523001089968,
      0.03633876876105618,
      0.03608503527518788,
      0.035834000564446036,
      0.03558563580946644,
      0.03533991257535084,
      0.035096802811614314,
      0.03485627867261196,
      0.03461831258978685,
      0.034382877338837804,
      0.03414994597449107,
      0.03391949186190028,
      0.03369148861999598,
      0.03346591019332556,
      0.0332427307022711,
      0.033021924685336476,
      0.0328034668563227,
      0.03258733214213144,
      0.03237349591225325,
      0.032161933729611986,
      0.03195262140448234,
      0.03174553495372135,
      0.03154065067242228,
      0.03133794513963632,
      0.031137395174297724,
      0.03093897782082819,
      0.030742670440614406,
      0.03054845050244994,
      0.030356295755101632,
      0.030166184267400323,
      0.02997809435820984,
      0.029792004505146418,
      0.029607893397143696,
      0.029425739949511937,
      0.02924552330715254,
      0.02906722295688581,
      0.028890818446864995,
      0.02871628964033609,
      0.028543616560359468,
      0.02837277949924037,
      0.028203758925409342,
      0.028036535495977302,
      0.027871090146285627,
      0.027707403910299137,
      0.02754545806892294,
      0.02738523409883625,
      0.027226713701742844,
      0.027069878780445984
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786144952955006,
      10.56982399363766,
      10.344842288684266,
      10.113820275858854,
      9.879110530911243,
      9.642765046688243,
      9.406595360135418,
      9.172162574108135,
      8.940808370332636,
      8.713637100067594,
      8.49150811764647,
      8.275033276061814,
      8.064584336023291,
      7.860311884975605,
      7.662173069886096,
      7.4699654091137,
      7.283360062100208,
      7.101934594123628,
      6.925205563213393,
      6.752657922718822,
      6.583768507090034,
      6.4180263720644435,
      6.254950479928209,
      6.094103483614701,
      5.935100049620882,
      5.777612000356024,
      5.621378565284053,
      5.466206417305145,
      5.311972942843909,
      5.158629189661413,
      5.006190664559157,
      4.854744823479493,
      4.704438337443922,
      4.555475765505506,
      4.4081223855821925,
      4.262694291199418,
      4.119547045161163,
      3.9790632770736027,
      3.8416411538433066,
      3.707687906958485,
      3.577606642618813,
      3.4517708230688067,
      3.3305150353403303,
      3.214127456198447,
      3.102842196758404,
      2.996838227403983,
      2.8962448181274114,
      2.8011404590139066,
      2.7115458890115276,
      2.627430784232828,
      2.5487230787421464,
      2.4752992300063927,
      2.4069785542876216,
      2.3435196501117157,
      2.284641604578229,
      2.23003218081148,
      2.1793478681662473,
      2.132206276398243,
      2.0881969119011767,
      2.0469334498570246,
      2.0080559692869984,
      1.9712052790067158,
      1.9360842445543303,
      1.9024609428389645,
      1.8701529479222025,
      1.8390134860661327,
      1.8089231750468986,
      1.779779141565665,
      1.7514968946975409,
      1.7240070967513692,
      1.6972518433814954,
      1.6711839606954024,
      1.6457636168767378,
      1.620956564049406,
      1.5967328494608706,
      1.5730658690599089,
      1.5499316708408968,
      1.5273084384293947,
      1.5051761067878628,
      1.483516072971642,
      1.4623109766126885,
      1.4415445319857094,
      1.4212013971172792,
      1.4012670340893316,
      1.381727302124042,
      1.3625689013470321,
      1.3437799687965974,
      1.3253492133113685,
      1.3072657314628957,
      1.2895190161869385,
      1.2720989562652734,
      1.2549958305783768,
      1.2382002977805706,
      1.221703385137844,
      1.205496474964757,
      1.1895714417075456,
      1.1739209446565173,
      1.1585378717536032,
      1.143415237151497,
      1.1285463123722768,
      1.1139254562993546,
      1.099547503307463,
      1.0854070725721234,
      1.071498694752271,
      1.0578168973266657,
      1.0443562638219617,
      1.0311114717351602,
      1.0180773176949278,
      1.0052487328920643,
      0.992620792201027,
      0.980188717959204,
      0.9679478808353398,
      0.9558937985816217,
      0.9440221335567096,
      0.9323286890383399,
      0.9208094049974799,
      0.9094603535951479,
      0.8982777345061802,
      0.8872578700171484,
      0.8763972180004956,
      0.8656928041021903,
      0.8551419816028398,
      0.8447419894402745,
      0.8344900157785035,
      0.8243832401499722,
      0.814418861041172,
      0.8045941181244053,
      0.7949069406637397,
      0.7853556589966234,
      0.7759382053393613,
      0.7666517773415319,
      0.7574934495194234,
      0.7484604308503644,
      0.7395500917487113,
      0.730759947032711,
      0.7220876305781634,
      0.7135308762114813,
      0.7050875039008802,
      0.6967554094234947,
      0.6885325567894544,
      0.6804169723786264,
      0.6724067398504726,
      0.6645002692936869,
      0.6566969422616872,
      0.6489960235392309,
      0.6413964737670786,
      0.6338970553695719,
      0.6264964056799228,
      0.619193087151868,
      0.61198562231874,
      0.604872517277652,
      0.5978522775694922,
      0.5909234190046064,
      0.5840844746740761,
      0.5773339998812558,
      0.5706705750955571,
      0.5640928071238567,
      0.5575993304461174,
      0.5511888076083933,
      0.5448599288860491,
      0.5386114123435599,
      0.5324420032810959,
      0.5263504734542919,
      0.5203356207589686,
      0.5143962686994291,
      0.5085312651104057,
      0.5027394820935139,
      0.4970198153172756,
      0.491371183038555,
      0.48579252573936643,
      0.4802828055935438,
      0.4748410055375623,
      0.4694661288371892,
      0.4641571986189246,
      0.45891325734345756,
      0.45373336601972875,
      0.44861660392440933,
      0.44356206811685617,
      0.43856887287843394,
      0.43363614943486806,
      0.42876304517420155,
      0.42394872335393813,
      0.41919236286571726,
      0.4144931577813028,
      0.4098503167813426,
      0.405263062926576,
      0.4007306332895704,
      0.39625227839668786,
      0.3918272622704319,
      0.38745486190340833,
      0.3831343669278721,
      0.37886507920189033,
      0.3746463126177119,
      0.37047739308329314,
      0.36635765771089324,
      0.36228645499412027,
      0.35826303843207585,
      0.3542864964529916,
      0.3503559852711842,
      0.3464707456712075,
      0.3426300807114782,
      0.3388333395585079,
      0.33507990626295636,
      0.33136919181034513,
      0.3277006285027259,
      0.3240736660417175,
      0.320487768689093,
      0.3169424131525357,
      0.3134370871513933,
      0.30997128845485455,
      0.3065445237792892,
      0.3031563084195996,
      0.29980616579933084,
      0.2964936269524598,
      0.2932182303039638,
      0.2899795213547801,
      0.2867771573053564,
      0.28361100316838894,
      0.28048087305323777,
      0.2773865049146461,
      0.27432758522060324,
      0.27130376599453687,
      0.26831467703104434,
      0.2653599344630268,
      0.26243914661572487,
      0.25955197762020144,
      0.25669821199097553,
      0.2538776437160359,
      0.2510900198675633,
      0.24833505208356219,
      0.24561241978899082,
      0.24292178090525618,
      0.24026277988257982,
      0.23763505350708714,
      0.23503823463168422,
      0.2324719422493844,
      0.22993574337417522,
      0.22742920849905737,
      0.22495193220918,
      0.22250352738548523,
      0.2200836212632759,
      0.21769185233702268,
      0.21532786840623624,
      0.21299132525868583,
      0.21068188547756164,
      0.2083992175974661,
      0.2061429957205657,
      0.20391289915958036,
      0.20170861199144768,
      0.19952982285167006,
      0.1973762247773538,
      0.19524751507362453,
      0.19314339519010362,
      0.19106357056912457,
      0.18900774793510006,
      0.18697559779145648,
      0.18496677813423115,
      0.18298096975567799,
      0.18101801936405731,
      0.1790779044665627,
      0.1771605352778541,
      0.17526576614115977,
      0.17339341329822375,
      0.171543267369104,
      0.16971510734357206,
      0.16790871371483168,
      0.16612385761052534,
      0.1643603016055426,
      0.16261780334546905,
      0.160896118085305,
      0.1591950002995497,
      0.1575142049427372,
      0.15585348811036626,
      0.15421260782234195,
      0.15259132420630206,
      0.15098939999811897,
      0.1494066003752727,
      0.14784269323605226,
      0.14629744915559165,
      0.14477064154732222,
      0.1432620467435042,
      0.14177144376701112,
      0.14029861434651825,
      0.13884334303528126,
      0.13740541704631762,
      0.13598462622925706,
      0.13458076307469288,
      0.1331936227331879,
      0.13182300290264018,
      0.1304687038893586,
      0.12913052852490858,
      0.12780828207832212,
      0.1265017723287226,
      0.1252108092519024,
      0.12393520536917853,
      0.12267477558294695,
      0.12142933707749842,
      0.12019870923996118,
      0.11898271372863486,
      0.1177811743896096,
      0.11659391741000029,
      0.1154207710654805,
      0.11426156564660818,
      0.11311613371626957,
      0.11198431843009413,
      0.11086601294563793,
      0.10976111805343323,
      0.10866951542871159,
      0.10759107425586018,
      0.10652565556213281,
      0.10547311532975064,
      0.10443330671603634,
      0.1034060814604049,
      0.10239129088445753,
      0.10138878661608097,
      0.10039838769248487,
      0.09941987407231996,
      0.09845304484908844,
      0.09749771940371404,
      0.09655373188852677,
      0.09562092705279476,
      0.09469915778201801,
      0.09378828306884286,
      0.09288816649061704,
      0.09199864966899646,
      0.09111953704915145,
      0.09025064938256694,
      0.08939182689884674,
      0.08854292389756836,
      0.08770380510599851,
      0.08687434296709165,
      0.08605441561877374,
      0.08524390583643253,
      0.08444269980222706,
      0.08365068657436445,
      0.08286775759264119,
      0.0820938063073437,
      0.08132872796856241,
      0.08057239841499719,
      0.0798246608816906,
      0.0790853707638055,
      0.07835439891952445,
      0.077631627658441,
      0.07691694770587985,
      0.07621025602691008,
      0.07551145435498655,
      0.07482044798380007,
      0.07413714530111865,
      0.07346145691792987,
      0.07279329531469915,
      0.07213257472078283,
      0.07147921071089104,
      0.0708331202583817,
      0.07019422144709064,
      0.06956243340037915,
      0.06893767636043119,
      0.06831987158415719,
      0.06770894119526705,
      0.06710480832870512,
      0.06650739694197805,
      0.06591663187771464,
      0.06533243890083766,
      0.06475474684086227,
      0.06418348741607578,
      0.06361859202117096,
      0.06305999182806317,
      0.06250761805058175,
      0.06196140224130776,
      0.0614212763922523,
      0.06088717306253374,
      0.06035902519674916,
      0.059836766475725264,
      0.05932033130747706,
      0.05880965470967917,
      0.058304672372586214,
      0.057805320657409454,
      0.05731153668670105,
      0.056823258192410554,
      0.056340423703704845,
      0.05586297237167884,
      0.05539084402579164,
      0.05492397915951146,
      0.05446231899497092,
      0.05400580536259331,
      0.05355438073581956,
      0.05310798828732866,
      0.0526665717666877,
      0.05223007555832079,
      0.05179844464638921,
      0.05137162470288744,
      0.05094956201944339,
      0.05053220342224285,
      0.050119496411748746,
      0.049711388967798954,
      0.04930782981792265,
      0.04890876817701676,
      0.0485141537945575,
      0.04812393700376656,
      0.04773806865202055,
      0.0473565002593145,
      0.04697918377827818,
      0.04660607177593477,
      0.04623711729324674,
      0.04587227392918494,
      0.045511495850659174,
      0.04515473769330231,
      0.04480195448305459,
      0.044453083730972065,
      0.04410804329103115,
      0.043766760387859614,
      0.04342917211458314,
      0.04309522242639044,
      0.0427648606466759,
      0.04243803989838247,
      0.04211471625650233,
      0.041794847940279996,
      0.04147839488311569,
      0.04116531837889746,
      0.04085558077504537,
      0.04054914520142852,
      0.04024597562040236,
      0.039946036565178096,
      0.039649293058592223,
      0.03935571074670162,
      0.039065255764678265,
      0.038777894550328755,
      0.03849359395472319,
      0.038212321230444664,
      0.03793404404331968,
      0.03765873043838116,
      0.037386348832687266,
      0.037116867907747514,
      0.036850256674729194,
      0.036586484566348415,
      0.036325521311010724,
      0.036067336925778876,
      0.035811901805871356,
      0.03555918660883035,
      0.0353091623401583,
      0.035061800325811035,
      0.034817072268523076,
      0.03457495013403462,
      0.03433540605727606,
      0.034098412554581396,
      0.03386394247982108,
      0.033631968844842375,
      0.03340246512757481,
      0.03317540495815923,
      0.03295076231482278,
      0.03272851148238458,
      0.03250862698981388,
      0.032291083564626386,
      0.03207585629785379,
      0.03186292046399587,
      0.03165225162768122,
      0.03144382562749282,
      0.0312376186404063,
      0.031033607040853006,
      0.030831767473571896,
      0.03063207672398711,
      0.030434511907280658,
      0.03023905033728949,
      0.030045669622245173,
      0.02985434763426412,
      0.029665062403588478,
      0.02947779221069271,
      0.029292515593435264,
      0.029109211364782082,
      0.028927858459819572,
      0.02874843617764261,
      0.02857092395080831,
      0.028395301347434315,
      0.028221548255122433,
      0.028049644837219688,
      0.02787957136593744,
      0.027711308364664244,
      0.02754483654420363,
      0.02738013676226004,
      0.02721719017741435,
      0.0270559781054035,
      0.02689648207928708,
      0.026738683821801,
      0.026582565294555886
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.78613899989104,
      10.569796555890164,
      10.344782148920482,
      10.113719865366843,
      9.878965177703185,
      9.642571990038233,
      9.406353614230587,
      9.171872375466945,
      8.940470818591267,
      8.713253810337486,
      8.49108085405585,
      8.274563770939704,
      8.0640741501954,
      7.859762309867796,
      7.66158507097813,
      7.469339609248507,
      7.282696717364334,
      7.101233588225635,
      6.924466572132312,
      6.751880525893629,
      6.582952307883576,
      6.417171002516885,
      6.254055677895946,
      6.093169180051487,
      5.934126192751435,
      5.776598797443635,
      5.62032682446869,
      5.465117591303892,
      5.310849056007745,
      5.157473033647366,
      5.005005693762793,
      4.853534971097687,
      4.703207935667086,
      4.554229688279959,
      4.406865983901837,
      4.261433303045691,
      4.118287486126084,
      3.9778113163695834,
      3.8404030451055826,
      3.7064701856557853,
      3.576416047376653,
      3.4506136692662492,
      3.3293969805278048,
      3.213053233969364,
      3.1018154794339154,
      2.9958619030012548,
      2.895320996965346,
      2.800270373999239,
      2.710729802361664,
      2.626668370217245,
      2.548013279136879,
      2.47463971284798,
      2.4063656662144703,
      2.3429488270072443,
      2.2841078095875376,
      2.229530101252239,
      2.178871929570786,
      2.1317504643051266,
      2.087755218373975,
      2.046500730051957,
      2.007627291353583,
      1.9707763636261317,
      1.9356518578528918,
      1.9020226889325345,
      1.8697070618378733,
      1.8385586809430357,
      1.808458490605999,
      1.779303830113846,
      1.751010477560669,
      1.723509249146898,
      1.6967422630045346,
      1.6706624966015668,
      1.6452302262116305,
      1.6204112809003794,
      1.5961757617680479,
      1.5724971021959446,
      1.5493513754891088,
      1.5267167816525342,
      1.5045732654278767,
      1.4829022294831524,
      1.4616863158027604,
      1.4409092389617337,
      1.4205556553709933,
      1.4006110605876338,
      1.3810613734543298,
      1.361893291163121,
      1.3430949280859963,
      1.3246549638513487,
      1.3065624733655732,
      1.2888069327943628,
      1.2713782179674316,
      1.2542665971440166,
      1.2374627209776872,
      1.2209576101670294,
      1.204742641516431,
      1.1888097405489613,
      1.1731515697346915,
      1.1577609936658202,
      1.1426310097325911,
      1.1277549050250077,
      1.1131270710849235,
      1.0987423146286095,
      1.0845952346156364,
      1.0706803464789687,
      1.0569921668981253,
      1.0435252707876939,
      1.0302743291188838,
      1.0172341335227377,
      1.0043996110613207,
      0.991765833199368,
      0.9793280195861802,
      0.967081538570565,
      0.955021905955232,
      0.9431447824204297,
      0.9314459695843393,
      0.9199214057786186,
      0.9085671616985731,
      0.8973794355747966,
      0.8863545486271779,
      0.875489078176724,
      0.8647802239470844,
      0.8542252430589307,
      0.843821308742238,
      0.833565563250028,
      0.8234551535334647,
      0.8134872555435665,
      0.8036591987920311,
      0.7939690543026715,
      0.7844150610049392,
      0.7749950745624662,
      0.7657062288584643,
      0.7565455767274942,
      0.7475103130072586,
      0.7385977992599153,
      0.7298055443178487,
      0.7211311776686805,
      0.7125724296182445,
      0.7041271176948273,
      0.6957931362020588,
      0.6875684475900725,
      0.6794510769383978,
      0.6714391072884986,
      0.6635312642964605,
      0.65572696942181,
      0.6480253726546334,
      0.6404253546324705,
      0.6329256222508455,
      0.6255247743408212,
      0.6182213467463347,
      0.6110138432017039,
      0.6039007566400867,
      0.5968805833714834,
      0.5899518327538463,
      0.5831130335405607,
      0.5763627378503449,
      0.569699523747399,
      0.5631219965254574,
      0.5566287897012854,
      0.5502185648123576,
      0.5438900113250059,
      0.5376418467870521,
      0.5314728159096006,
      0.5253816902623135,
      0.5193672673408957,
      0.513428370129988,
      0.5075638463261963,
      0.5017725677345641,
      0.49605342968850774,
      0.49040535042140504,
      0.4848272701380101,
      0.47931815050070764,
      0.473876974252733,
      0.468502744474042,
      0.46319448398007007,
      0.457951234789222,
      0.4527720576616361,
      0.44765603173665525,
      0.4426022537373124,
      0.43760983765912764,
      0.43267791420669804,
      0.4278056305400475,
      0.4229921499003733,
      0.41823665073487465,
      0.4135383267457531,
      0.40889638631389397,
      0.4043100521889925,
      0.3997785612178135,
      0.3953011637058714,
      0.39087712330247193,
      0.38650571667339534,
      0.3821862330897284,
      0.3779179741617313,
      0.3737002535159237,
      0.3695323965435187,
      0.36541374019482825,
      0.36134363266872244,
      0.3573212578052154,
      0.3533456953791626,
      0.3494161258607017,
      0.34553180720233995,
      0.3416920543062736,
      0.3378962245019425,
      0.33414370734156185,
      0.3304339176350241,
      0.3267662903520029,
      0.3231402769668978,
      0.319555342789271,
      0.3160109651816889,
      0.31250663226565245,
      0.30904184184468,
      0.30561610078329826,
      0.30222892426770986,
      0.29887983555752373,
      0.2955683654772408,
      0.29229405224518273,
      0.2890564411941767,
      0.2858552455562731,
      0.2826903370642023,
      0.27956150991005835,
      0.27646848783260025,
      0.27341094719135645,
      0.27038853293911075,
      0.26740086966450594,
      0.2644475699091904,
      0.26152824892023907,
      0.25864262134854776,
      0.2557904859485461,
      0.25297161854921857,
      0.2501857507189029,
      0.24743257896698648,
      0.24471177158521348,
      0.2420229784731732,
      0.23936583849040957,
      0.23673998432464968,
      0.23414504593905783,
      0.23158062561070333,
      0.22904628211998407,
      0.22654159151998082,
      0.22406615231238003,
      0.22161958003472984,
      0.21920150360731658,
      0.21681156276496236,
      0.21444940611894273,
      0.21211468994407556,
      0.20980707707549728,
      0.20752623622988442,
      0.20527184168490573,
      0.20304357261626466,
      0.20084111305722027,
      0.19866415158970088,
      0.1965123810972729,
      0.19438549873166425,
      0.19228320573689006,
      0.19020520737213287,
      0.18815120428657367,
      0.18612085819022203,
      0.18411383155740302,
      0.18212992971071418,
      0.1801691184852247,
      0.17823131146865873,
      0.1763163642972753,
      0.17442409303220002,
      0.17255428711248164,
      0.17070672449034066,
      0.16888118358093587,
      0.16707743257311022,
      0.16529523108611122,
      0.1635343336573328,
      0.16179449242460253,
      0.16007545860600014,
      0.15837698396673366,
      0.15669882153381454,
      0.15504072610944888,
      0.15340245471122324,
      0.15178376698671142,
      0.15018442503690585,
      0.14860419381292947,
      0.14704284098633394,
      0.1455001370630165,
      0.1439758554036374,
      0.14246977214450052,
      0.14098166628614534,
      0.13951131960591007,
      0.1380585165921826,
      0.13662304448224818,
      0.13520469315602474,
      0.1338032551655605,
      0.13241852565836926,
      0.13105030231529202,
      0.1296983855319478,
      0.12836257813175145,
      0.12704268533501148,
      0.12573851492655597,
      0.12444987708168832,
      0.12317658430836519,
      0.12191845161319417,
      0.12067529608398532,
      0.11944693715387081,
      0.11823319654191383,
      0.11703389817624893,
      0.11584886815620879,
      0.11467793475376704,
      0.11352092882921859,
      0.11237772882504629,
      0.11124823936289814,
      0.11013234353998673,
      0.10902991025602395,
      0.10794079916459057,
      0.1068648641437508,
      0.10580195577662449,
      0.10475192286419521,
      0.10371461342142724,
      0.10268987574615022,
      0.1016775588266554,
      0.10067751260500879,
      0.09968954003642627,
      0.09871341894128395,
      0.09774895343039898,
      0.09679596654418471,
      0.09585429487782433,
      0.09492378502050472,
      0.09400429117150519,
      0.09309567317319505,
      0.09219779525908468,
      0.0913104926207148,
      0.09043356934810075,
      0.08956684902744283,
      0.08871017391141842,
      0.08786339984982477,
      0.08702639265921157,
      0.08619902555512385,
      0.08538117729314453,
      0.08457273101833807,
      0.083773573252018,
      0.08298359334636919,
      0.08220268288279756,
      0.0814307354128209,
      0.08066764634912242,
      0.07991329581308941,
      0.07916752783539877,
      0.07843019664748017,
      0.07770117236104764,
      0.076980336806998,
      0.07626758026898976,
      0.07556279946462643,
      0.07486589593611272,
      0.07417677504181114,
      0.07349534494631979,
      0.07282151630200738,
      0.07215520171100823,
      0.07149631529322545,
      0.07084477270858681,
      0.07020049090829902,
      0.06956338812651,
      0.06893338350761628,
      0.06831039729066715,
      0.06769435085464927,
      0.06708516642442539,
      0.06648276707262983,
      0.06588707690288864,
      0.06529802084216853,
      0.06471552470723088,
      0.06413951662480763,
      0.06356992837043961,
      0.06300669158957982,
      0.06244973766117853,
      0.061898998045820074,
      0.06135440441158254,
      0.06081588885294112,
      0.06028338397105025,
      0.05975682290523028,
      0.05923613939831961,
      0.058721267899114526,
      0.058212143451178575,
      0.05770870190220171,
      0.05721087974720039,
      0.056718614111148424,
      0.05623184287696741,
      0.05575050454294762,
      0.055274538292470775,
      0.05480388406623093,
      0.054338482402018155,
      0.05387827456621171,
      0.05342320251957448,
      0.05297320874887849,
      0.052528236440757874,
      0.05208822944213141,
      0.051653132223003384,
      0.05122288993393869,
      0.05079744825315967,
      0.050376753486746195,
      0.04996075252509581,
      0.049549392922297215,
      0.049142622803242365,
      0.04874039081125177,
      0.04834264624504607,
      0.047949338896202405,
      0.04756041920338004,
      0.04717583818970154,
      0.046795547329058496,
      0.04641949864629594,
      0.04604764474345902,
      0.04567993872621725,
      0.04531633428821108,
      0.04495678558122011,
      0.04460124734501067,
      0.04424967466383616,
      0.04390201687244328,
      0.04355819643649128,
      0.04321813606838023,
      0.0428817694762704,
      0.042549038420459595,
      0.042219890510948585,
      0.041894277753180054,
      0.041572155342892166,
      0.041253480969572265,
      0.04093821419643622,
      0.04062631596235113,
      0.040317748333815163,
      0.040012474449140516,
      0.039710458154897675,
      0.039411663979283286,
      0.039116056936261794,
      0.03882360263379466,
      0.03853426720953503,
      0.0382480171760494,
      0.03796481950321919,
      0.037684641422256714,
      0.03740745068573193,
      0.03713321538102698,
      0.036861903920158194,
      0.036593485014720616,
      0.03632792788451793,
      0.0360652018858855,
      0.03580527680854879,
      0.03554812273192355,
      0.03529371007037176,
      0.035042009537019275,
      0.03479299222961687,
      0.034546629485519044,
      0.034302892989237506,
      0.03406175473783224,
      0.03382318700771904,
      0.033587162338481455,
      0.03335365361617283,
      0.03312263400544159,
      0.03289407694631767,
      0.03266795616474239,
      0.03244424565234226,
      0.032222919701532994,
      0.03200395292257439,
      0.03178732014083582,
      0.03157299638108129,
      0.031360957078228884,
      0.03115117788885412,
      0.030943634678617823,
      0.030738303567749717,
      0.030535161021959318,
      0.03033418368395636,
      0.03013534841558118,
      0.02993863237890141,
      0.029744013023232922,
      0.029551467923564428,
      0.029360974937641737,
      0.029172512189209725,
      0.028986058042811187,
      0.028801591101705,
      0.028619090235280538,
      0.028438534467766202,
      0.028259902959687777,
      0.028083175260119775,
      0.027908331019758842,
      0.02773535017536179,
      0.027564212855129992,
      0.02739489937080493,
      0.027227390258222895,
      0.027061666356936923,
      0.026897708601428465,
      0.026735498181953702,
      0.026575016416545177,
      0.02641624488156398,
      0.026259165310739897,
      0.026103759644440772
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786133082329192,
      10.569769285838868,
      10.344722392464284,
      10.113620120603452,
      9.878820821467912,
      9.64238029397665,
      9.406113615667,
      9.171584325548226,
      8.940135825053801,
      8.712873493655577,
      8.490656979901619,
      8.274098073608037,
      8.063568190564846,
      7.859217379782766,
      7.661002136696383,
      7.4687192940171565,
      7.282039270729744,
      7.100538890229343,
      6.923734305269081,
      6.751110269567686,
      6.5821436674782685,
      6.416323621555272,
      6.253169305386715,
      6.092243757583394,
      5.933161678952743,
      5.775595407795147,
      5.619285374045832,
      5.464039536180039,
      5.309736419584713,
      5.1563286024901664,
      5.003832911782389,
      4.852337756810609,
      4.70199060486153,
      4.552997090454073,
      4.405623436717384,
      4.260186505688239,
      4.117042410058232,
      3.976574081040552,
      3.839179849547534,
      3.705267585213439,
      3.5752407067879197,
      3.449471830676003,
      3.328294230152077,
      3.211994108766758,
      3.1008036057349404,
      2.994900127171133,
      2.8944113927645905,
      2.799414143736703,
      2.7099271827841864,
      2.6259190158239987,
      2.54731611845972,
      2.473992410430716,
      2.4057645741139297,
      2.3423893932215205,
      2.283585015010158,
      2.229038656774986,
      2.178406288461672,
      2.1313046437811196,
      2.087323244508955,
      2.0460774897790186,
      2.0072078867198573,
      1.9703565476352087,
      1.9352284226793806,
      1.9015932601162735,
      1.8692698920661974,
      1.8381124984094819,
      1.8080023477367806,
      1.7788369902464305,
      1.75053247061081,
      1.7230197580116398,
      1.6962409924125696,
      1.6701493010439459,
      1.6447050673509118,
      1.619874196698438,
      1.5956268434721452,
      1.5719364778430116,
      1.5487791976593237,
      1.5261332192286734,
      1.5039784976359787,
      1.482296440740395,
      1.4610696933036733,
      1.4402819695919893,
      1.4199179243346354,
      1.399963050725933,
      1.3804033431286316,
      1.3612255323738662,
      1.3424177057345923,
      1.3239685100036458,
      1.305866995502272,
      1.2881026198181529,
      1.2706652441662234,
      1.2535451259891384,
      1.2367329070252706,
      1.2202196006366477,
      1.203996577697532,
      1.1880558139219406,
      1.172389975236189,
      1.1569919033556761,
      1.1418545784085508,
      1.1269713024957684,
      1.1123364994061613,
      1.0979449481855796,
      1.0837912275586865,
      1.069869838316745,
      1.0561752859513032,
      1.0427021367259515,
      1.0294450553457624,
      1.0163988282397824,
      1.003558378640312,
      0.9909187746922057,
      0.9784752333398835,
      0.9662231205397284,
      0.9541579500676762,
      0.9422753806405433,
      0.9305712121300516,
      0.9190413815945028,
      0.9076819583198427,
      0.89648913934832,
      0.8854592444755012,
      0.8745890675700126,
      0.863875851663121,
      0.8533167692867705,
      0.8429089342680499,
      0.8326494474834019,
      0.822535427093837,
      0.8125640285543028,
      0.8027326727294406,
      0.7930395733438441,
      0.7834828785952757,
      0.7740603687206358,
      0.7647691152620726,
      0.7556061491670398,
      0.7465686512565084,
      0.7376539740555215,
      0.7288596199685966,
      0.7201832140054373,
      0.7116224832895175,
      0.7031752429389443,
      0.6948393853017911,
      0.6866128717996446,
      0.6784937264599521,
      0.6704800818746794,
      0.6625709571709117,
      0.6547657583363999,
      0.64706352870596,
      0.6394630750353064,
      0.6319630524820257,
      0.6245620239149897,
      0.6172585001449771,
      0.6100509675394237,
      0.6029379068788032,
      0.5959178062439192,
      0.5889891690257244,
      0.5821505198913283,
      0.5754004078942979,
      0.5687374089868523,
      0.5621601269601881,
      0.555667194018713,
      0.5492572707963636,
      0.5429290464332256,
      0.5366812378808918,
      0.5305125894849998,
      0.5244218723682589,
      0.5184078835919794,
      0.5124694458640177,
      0.5066054065263772,
      0.5008146372502483,
      0.4950960329663133,
      0.48944851150958935,
      0.4838710128624521,
      0.4783624984819601,
      0.4729219506884194,
      0.46754837224572926,
      0.46224078570317567,
      0.45699823290831637,
      0.4518197744383313,
      0.44670448902910986,
      0.44165147315548625,
      0.436659840510866,
      0.43172872166783705,
      0.42685726338728336,
      0.422044628365873,
      0.4172899949399076,
      0.4125925564431879,
      0.40795152103269094,
      0.4033661110939129,
      0.39883556309187135,
      0.3943591270036976,
      0.38993606637743133,
      0.38556565754248695,
      0.3812471894485492,
      0.37697996334407446,
      0.37276329260162905,
      0.36859650223274487,
      0.36447892898352335,
      0.36040989060442213,
      0.356388516196435,
      0.3524139075519173,
      0.34848526488939024,
      0.34460185977594,
      0.34076301647336754,
      0.33696809887172635,
      0.33321650119650603,
      0.3295076413511386,
      0.3258409562858222,
      0.3222158987797098,
      0.3186319350156393,
      0.31508854290095,
      0.31158521077322926,
      0.3081214365511466,
      0.3046967269716377,
      0.3013105972554576,
      0.29796257033521706,
      0.294652176840237,
      0.29137895474455133,
      0.2881424563326457,
      0.28494244719433265,
      0.2817787983777021,
      0.2786512852086714,
      0.2755596181347222,
      0.27250346403055403,
      0.26948246109015556,
      0.2664962293467841,
      0.26354437768636263,
      0.2606265502378523,
      0.2577425048587493,
      0.2548920338414116,
      0.252074892823487,
      0.2492907992752135,
      0.24653943624871028,
      0.24382046230996857,
      0.24113352063888932,
      0.23847824529857012,
      0.23585426554996808,
      0.23326120880106987,
      0.23069865771028114,
      0.22816616755540756,
      0.22566331970543294,
      0.2231897163113436,
      0.22074497545292074,
      0.21832872779926257,
      0.21594061427493938,
      0.21358028422713302,
      0.2112473943032175,
      0.20894160769145037,
      0.2066625932769004,
      0.20441002525700674,
      0.20218358285882476,
      0.19998295001791336,
      0.197807815144306,
      0.19565787107739938,
      0.1935328148479123,
      0.1914323475640032,
      0.18935617438384034,
      0.18730398902158038,
      0.18527544598729911,
      0.1832703024314153,
      0.18128850985385475,
      0.17932998492148008,
      0.17739458425992768,
      0.17548212349863063,
      0.17359239064576237,
      0.17172516214991518,
      0.169880214173225,
      0.16805731206845084,
      0.16625621240316985,
      0.16447666660426224,
      0.1627184235290852,
      0.16098123126645947,
      0.15926483832677082,
      0.15756899448058725,
      0.15589345134427665,
      0.15423796284888744,
      0.15260228547310434,
      0.15098617824141491,
      0.14938940305982865,
      0.14781172464677064,
      0.1462529104912835,
      0.14471273101610427,
      0.14319095955927524,
      0.14168737226904568,
      0.14020174800075785,
      0.13873386859135092,
      0.13728351854495827,
      0.13585048500040084,
      0.13443455794227566,
      0.1330355299503885,
      0.13165319611619639,
      0.13028735429214963,
      0.12893780489122286,
      0.1276043507271541,
      0.1262867970657092,
      0.12498495165194684,
      0.12369862470130764,
      0.12242762875868894,
      0.12117177870518367,
      0.11993089182985914,
      0.11870478761685514,
      0.11749328779411883,
      0.11629621636454054,
      0.11511339944705722,
      0.11394469391936211,
      0.11279000022009981,
      0.11164920494914488,
      0.11052217810709801,
      0.10940877897462255,
      0.10830885985650163,
      0.10722226906025756,
      0.10614885264313896,
      0.10508845565980354,
      0.10404092305560526,
      0.10300610042504958,
      0.10198383435834843,
      0.10097397272781347,
      0.09997635718349343,
      0.09899077952723602,
      0.09801702326898605,
      0.09705489651998134,
      0.09610422501181935,
      0.09516484733615614,
      0.0942366116142861,
      0.09331937297249307,
      0.09241299200487553,
      0.09151733354297159,
      0.09063222699776786,
      0.08975747614110906,
      0.08889290716801089,
      0.088038364170287,
      0.0871937042711605,
      0.08635879419690723,
      0.08553350790964134,
      0.08471772471308685,
      0.08391132810394485,
      0.08311420492540085,
      0.08232624468274329,
      0.08154733919033565,
      0.08077738216693406,
      0.08001626908605856,
      0.07926388495623067,
      0.0785200749785218,
      0.07778469199210493,
      0.07705760504450372,
      0.07633869517544727,
      0.0756278523221471,
      0.07492497296826099,
      0.07422995837144027,
      0.07354271371574968,
      0.07286314717732081,
      0.07219116936420096,
      0.07152669277160532,
      0.07086963162325172,
      0.07021990158508873,
      0.06957741974881035,
      0.06894210429005047,
      0.06831387442620573,
      0.0676926505532189,
      0.06707835396390148,
      0.06647090685873766,
      0.06587023249404643,
      0.06527625502849671,
      0.06468889946860414,
      0.06410809161086861,
      0.0635337591254225,
      0.06296583363991087,
      0.062404247096806045,
      0.06184893109000966,
      0.06129981729358327,
      0.06075683755326326,
      0.060219924055036955,
      0.05968900955225345,
      0.059164027206675456,
      0.0586449108478225,
      0.05813159506311667,
      0.057624015036291554,
      0.057122106499526384,
      0.05662580605339739,
      0.05613505091111867,
      0.05564977908745888,
      0.05516992913887956,
      0.05469544031613179,
      0.0542262525444354,
      0.05376230651141606,
      0.05330354345872299,
      0.052849905303358286,
      0.052401334733323146,
      0.05195777501963646,
      0.05151917007232207,
      0.05108546443215047,
      0.050656603245794525,
      0.050232532217572914,
      0.04981319778617463,
      0.049398546944735944,
      0.048988527209567465,
      0.04858308676543334,
      0.04818217440370536,
      0.047785739440643474,
      0.047393731799737236,
      0.04700610195974544,
      0.04662280095253593,
      0.04624378034711836,
      0.045868992238943376,
      0.04549838921900984,
      0.045131924468869246,
      0.044769551724292776,
      0.04441122525082982,
      0.04405689972561483,
      0.0437065304901019,
      0.04336007328658854,
      0.04301746234864779,
      0.0426786162386806,
      0.04234346481939922,
      0.04201194700846919,
      0.04168400844408075,
      0.04135959974937147,
      0.04103867510572492,
      0.04072119141855299,
      0.04040710774205159,
      0.040096384756753166,
      0.0397889843169136,
      0.03948486933340469,
      0.039184003679814616,
      0.03888635180945525,
      0.0385918787755348,
      0.03830055011378776,
      0.038012331940036975,
      0.037727190760336905,
      0.037445093565941175,
      0.03716600772665498,
      0.03688990098091103,
      0.036616741408245654,
      0.03634649751444879,
      0.036079138044753496,
      0.035814632208395925,
      0.0355529495231829,
      0.0352940598139262,
      0.035037933202589036,
      0.03478454018540538,
      0.03453385155261817,
      0.03428583838862343,
      0.034040472038375506,
      0.0337977242464464,
      0.03355756711335364,
      0.033319972938731846,
      0.03308491436092804,
      0.03285236431680443,
      0.032622296015322155,
      0.03239468291543409,
      0.032169498822500996,
      0.031946717779332126,
      0.03172631411745049,
      0.03150826240415353,
      0.0312925375179948,
      0.031079114658516316,
      0.03086796930007487,
      0.030659077013047452,
      0.030452413702291268,
      0.03024795566528599,
      0.030045679384839517,
      0.029845561593062307,
      0.029647579138644003,
      0.029451709144409678,
      0.02925792912759089,
      0.02906621676543191,
      0.028876550014479634,
      0.028688907049833397,
      0.02850326625267535,
      0.028319606284689755,
      0.028137905975685367,
      0.027958144396695816,
      0.027780300819294137,
      0.02760435477429428,
      0.02743028602236445,
      0.027258074541663624,
      0.027087700528777937,
      0.02691914433080703,
      0.026752386517700396,
      0.026587407857013773,
      0.026424189493174818,
      0.026262712548950542,
      0.026102958363262253,
      0.025944908631169893,
      0.025788545157161252,
      0.02563384991109627
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786127198133228,
      10.569742174636293,
      10.34466300092526,
      10.113521012764718,
      9.878677418457471,
      9.642189897675255,
      9.405875286298471,
      9.171298296742775,
      8.939803189938004,
      8.712495885624087,
      8.490236173132072,
      8.273635805498705,
      8.063066026120127,
      7.858676614380659,
      7.660423740584677,
      7.468103896076138,
      7.281387126083481,
      7.09984988485591,
      6.923008130280471,
      6.750346514361689,
      6.58134194743885,
      6.4154835914836275,
      6.252290724049688,
      6.091326576307715,
      5.932205863631173,
      5.774601179314586,
      5.618253549845016,
      5.4629715728565875,
      5.308634337834038,
      5.155195121686161,
      5.002671472825065,
      4.851152269607097,
      4.700785372814435,
      4.551776944579389,
      4.404393670851876,
      4.258952787610294,
      4.115810673193101,
      3.975350401583321,
      3.837970379520675,
      3.704078826822667,
      3.57407926739511,
      3.448343894489058,
      3.3272053266187678,
      3.2109487223196473,
      3.0998053137938233,
      2.993951731461475,
      2.8935149282759864,
      2.7985707783268365,
      2.7091371241586963,
      2.6251818947707672,
      2.5466308462767557,
      2.47335664364875,
      2.405174664526788,
      2.3418407948490465,
      2.2830727198513507,
      2.2285573926746958,
      2.1779505307236415,
      2.130868435721926,
      2.086900641378936,
      2.0456634047713287,
      2.006797423199444,
      1.9699454951311366,
      1.9348136034263912,
      1.9011723237247846,
      1.8688411101630074,
      1.8376746137992503,
      1.8075544254731744,
      1.778378305088514,
      1.7500625615187717,
      1.722538353872485,
      1.6957478182745644,
      1.6696442000506788,
      1.6441879937962651,
      1.6193451836621426,
      1.5950859796340657,
      1.5713838900010064,
      1.548215038310054,
      1.5255576581037005,
      1.503391714451705,
      1.481698620993963,
      1.460461024824335,
      1.4396626404549402,
      1.4192881210652588,
      1.3993229573490857,
      1.3797532203591745,
      1.3605656744003893,
      1.3417483787573223,
      1.323289947096514,
      1.305179404851624,
      1.2874061912778376,
      1.26996015331181,
      1.252831536990263,
      1.2360109754017914,
      1.2194894744715385,
      1.2032583990846144,
      1.1873097751296207,
      1.171636271506175,
      1.1562307071719844,
      1.1410860452564502,
      1.1261956029746683,
      1.1115538359501707,
      1.09715549559683,
      1.0829951408424852,
      1.069067257455014,
      1.0553663397566277,
      1.0418869456267599,
      1.028623733154947,
      1.0155714839253505,
      1.0027251169799327,
      0.9900796970830615,
      0.9776304383061298,
      0.9653727041409627,
      0.9533020064629809,
      0.9414140021458324,
      0.9297044895833804,
      0.9181694041124169,
      0.9068048136147611,
      0.8956069137415066,
      0.8845720958981438,
      0.8736973480057925,
      0.8629798654280999,
      0.8524167484202009,
      0.842005060643411,
      0.8317418673755074,
      0.8216242617447952,
      0.8116493818797939,
      0.8018148334880726,
      0.7921188513722871,
      0.7825595047062578,
      0.7731345058012339,
      0.7638408697394264,
      0.75467560843074,
      0.7456358907188974,
      0.736719061733615,
      0.7279226186236496,
      0.719244182321039,
      0.710681476981971,
      0.7022323157774386,
      0.6938945895066622,
      0.6856662582781294,
      0.6775453450838461,
      0.6695301463154567,
      0.6616199186679466,
      0.6538139380646326,
      0.6461111585461802,
      0.6385103246043933,
      0.6310100484680446,
      0.6236088629940055,
      0.6163052581879266,
      0.6090977059251881,
      0.6019846767203845,
      0.5949646512785266,
      0.588036128118708,
      0.5811976281182231,
      0.5744476980110549,
      0.5677849118940953,
      0.561207872332239,
      0.5547152105661713,
      0.5483055865190111,
      0.5419776886603264,
      0.5357302333541261,
      0.5295619646116454,
      0.5234716531614645,
      0.5174580959091281,
      0.5115201151555238,
      0.5056565580101403,
      0.4998662956720941,
      0.49414822286282134,
      0.4885012570319544,
      0.4829243379756534,
      0.47741642700526415,
      0.47197650617815645,
      0.4666035778209244,
      0.46129666429777666,
      0.4560548070595733,
      0.450877066324251,
      0.44576252062690574,
      0.44071026608968217,
      0.4357194161505101,
      0.4307891009892732,
      0.4259184671369035,
      0.4211066770142375,
      0.41635290865673147,
      0.4116563551179651,
      0.4070162240869312,
      0.4024317377716251,
      0.39790213238931127,
      0.3934266576202683,
      0.38900457656003856,
      0.3846351651796931,
      0.3803177121851004,
      0.37605151853863356,
      0.37183589738215006,
      0.3676701735988889,
      0.3635536834472096,
      0.35948570796685964,
      0.3554653265014282,
      0.35149166778543145,
      0.3475639505405905,
      0.34368145932186145,
      0.33984352753617747,
      0.3360495251823545,
      0.3322988505962554,
      0.32859092458129513,
      0.32492518607822435,
      0.3213010891307283,
      0.31771810056417205,
      0.3141756987517432,
      0.3106733722181522,
      0.3072106188653372,
      0.30378694552570473,
      0.30040186712980976,
      0.2970549064529607,
      0.2937455939577289,
      0.29047346727393164,
      0.2872381072042719,
      0.28403932120121284,
      0.280876958010996,
      0.27775077725162983,
      0.27466047822926964,
      0.2716057199918379,
      0.26858613505858003,
      0.2656013393698018,
      0.26265093897815184,
      0.25973462816373394,
      0.25685218740933774,
      0.2540033956238256,
      0.2511879918884074,
      0.24840567915829984,
      0.24565612822373412,
      0.24293898901820352,
      0.24025389856498705,
      0.23760048653485527,
      0.23497837902106383,
      0.23238719334983596,
      0.22982649653293888,
      0.22729584846247716,
      0.22479483474436215,
      0.22232306042732486,
      0.21988014550258614,
      0.21746572197781094,
      0.21507943162330623,
      0.21272092439562315,
      0.2103898572653454,
      0.20808589357244878,
      0.2058087023088885,
      0.20355795765717938,
      0.20133333882114443,
      0.1991345296016116,
      0.19696121837746391,
      0.1948130977540234,
      0.19268986460298562,
      0.19059121998526746,
      0.1885168688296911,
      0.1864664943623055,
      0.18443980763871556,
      0.1824367390363239,
      0.18045720751684913,
      0.17850107010784155,
      0.17656814155156025,
      0.1746582081509834,
      0.1727710442226135,
      0.17090642336506115,
      0.16906410811408654,
      0.1672438519018316,
      0.16544540296589091,
      0.16366850692383386,
      0.1619129086537966,
      0.16017835336041633,
      0.15846458749250258,
      0.15677135949017745,
      0.15509842010410932,
      0.1534455224975699,
      0.15181242264777614,
      0.15019887932842613,
      0.14860465420248192,
      0.14702951180230742,
      0.14547321951812522,
      0.1439355476904421,
      0.14241626967980084,
      0.14091516157652878,
      0.1394320023326313,
      0.1379665736669483,
      0.13651866005508576,
      0.13508804880459818,
      0.13367452987176737,
      0.1322778957885718,
      0.13089794178226877,
      0.12953446565543933,
      0.12818726776989423,
      0.12685615107685577,
      0.1255409208120033,
      0.12424138475786134,
      0.12295735315819667,
      0.12168863858319885,
      0.12043505600593629,
      0.11919642268328778,
      0.11797255814615004,
      0.11676328413995161,
      0.1155684367479398,
      0.11438790632856036,
      0.1132215843092385,
      0.1120693428013026,
      0.11093104124742285,
      0.10980653086767278,
      0.10869565785150685,
      0.10759826557525445,
      0.10651419612076692,
      0.10544329117756013,
      0.10438539299357243,
      0.10334034457650684,
      0.10230799017731314,
      0.10128817550432233,
      0.10028074775130087,
      0.09928554125573523,
      0.09830233745402134,
      0.09733092540065717,
      0.09637111712079666,
      0.09542274109829971,
      0.09448563790760427,
      0.09355965697326371,
      0.09264465444482714,
      0.09174049156145005,
      0.09084703311898593,
      0.08996410379070356,
      0.08909150782716434,
      0.08822907357518642,
      0.08737664672804295,
      0.08653408554902677,
      0.08570125767003088,
      0.08487803758778285,
      0.08406430505766163,
      0.08325994394985048,
      0.08246484131201573,
      0.08167888684142503,
      0.08090197253591701,
      0.08013399229257927,
      0.07937484175900612,
      0.0786244089559325,
      0.07788254350008128,
      0.07714909628022368,
      0.07642393512716762,
      0.07570694018487696,
      0.07499800065940827,
      0.07429701254442418,
      0.07360387689454236,
      0.07291849870962629,
      0.07224078610151766,
      0.07157064953628914,
      0.07090800153701628,
      0.07025275638186491,
      0.06960482979899026,
      0.06896413872753242,
      0.06833060136960963,
      0.06770413709396202,
      0.06708466634120128,
      0.06647211049161073,
      0.06586639186683496,
      0.0652674337289009,
      0.0646751601679434,
      0.06408949630512599,
      0.06351036811432004,
      0.06293770285120028,
      0.06237143172983148,
      0.06181148707715748,
      0.06125780070387799,
      0.060710304432468915,
      0.0601689302245,
      0.05963361046719948,
      0.059104277975379885,
      0.05858086603005857,
      0.058063308564945126,
      0.0575515402410259,
      0.057045496250278535,
      0.056545112509554275,
      0.05605032563757617,
      0.055561072928342836,
      0.05507729233359637,
      0.05459892252696925,
      0.054125902856643836,
      0.05365817334833732,
      0.05319567473923991,
      0.05273834837169001,
      0.05228613628641318,
      0.05183898124208467,
      0.05139682645756043,
      0.050959615836407283,
      0.05052729400934256,
      0.0500998062014636,
      0.04967709822908221,
      0.04925911658444096,
      0.04884580823059148,
      0.048437120907058165,
      0.048033002865642584,
      0.04763340287896643,
      0.04723827032067776,
      0.04684755518445053,
      0.04646120801634416,
      0.04607917983975185,
      0.045701422269739486,
      0.045327887473958016,
      0.04495852818022618,
      0.04459329758734153,
      0.04423214950079322,
      0.04387503827335815,
      0.0435219186747595,
      0.04317274607782982,
      0.04282747626508958,
      0.042486058151625816,
      0.042148413699250285,
      0.04181446770330204,
      0.04148415551476834,
      0.04115742020843724,
      0.04083421048397126,
      0.040514479324086146,
      0.04019818268180537,
      0.039885278926841565,
      0.03957572825679377,
      0.03926949229688688,
      0.038966533771875624,
      0.03866681627465437,
      0.03837030414305413,
      0.03807696244773314,
      0.03778675682707312,
      0.03749965336888462,
      0.03721561866223067,
      0.03693461959053591,
      0.03665662355834778,
      0.03638159835122296,
      0.036109512117952776,
      0.035840333382703295,
      0.035574031001493485,
      0.0353105741931879,
      0.035049932542995335,
      0.034792075889986354,
      0.03453697440938963,
      0.03428459862654373,
      0.03403491938409478,
      0.03378790790296235,
      0.03354353559014206,
      0.03330177420679628,
      0.03306259587232999,
      0.032825972955164505,
      0.032591878107768715,
      0.03236028430286501,
      0.03213116482929049,
      0.03190449316523984,
      0.031680243198920884,
      0.03145838898948841,
      0.031238904939111564,
      0.031021765689476673,
      0.03080694617216471,
      0.0305944215835643,
      0.03038416745309864,
      0.030176159518864334,
      0.029970373705819002,
      0.02976678627950241,
      0.02956537370535604,
      0.029366112823870142,
      0.029168980575202126,
      0.028973954211254812,
      0.02878101120956369,
      0.028590129356894804,
      0.028401286544640532,
      0.028214460971567507,
      0.028029631125151014,
      0.027846775649671474,
      0.027665873405695724,
      0.027486903609806605,
      0.027309845594190887,
      0.02713467886565877,
      0.026961383203421542,
      0.02678993858940174,
      0.026620325323766927,
      0.02645252379514746,
      0.026286514639162414,
      0.0261222787100483,
      0.025959797059893125,
      0.02579905092799393,
      0.02564002173721817,
      0.0254826911038998,
      0.025327040934366735,
      0.025173053331703055
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786121343742765,
      10.569715204078337,
      10.34460393182395,
      10.113422467597717,
      9.87853486402678,
      9.642000669873532,
      9.405638467765485,
      9.171014135160664,
      8.939472787218676,
      8.712120880997533,
      8.489818345357032,
      8.273176896209549,
      8.062567601044494,
      7.858139969192921,
      7.659849846626702,
      7.467493383541938,
      7.280740252329408,
      7.099166541231682,
      6.922288013441371,
      6.749589198648581,
      6.580547040460792,
      6.4146507589619235,
      6.251419736671945,
      6.090417394953029,
      5.9312584637479295,
      5.773615789077178,
      5.61723099365265,
      5.461913312714292,
      5.307542394829413,
      5.154072173847864,
      5.001520956601618,
      4.849978087054113,
      4.6995918159345695,
      4.550568825349462,
      4.403176256424895,
      4.257731712861116,
      4.114591833781478,
      3.974139831666607,
      3.8367742117916546,
      3.7029035342441694,
      3.5729313447741724,
      3.4472294702844173,
      3.326129848254123,
      3.2099166006857764,
      3.0988200840155518,
      2.9930161581512267,
      2.8926310143587646,
      2.797739663951901,
      2.7083589933986296,
      2.624456360154245,
      2.545956805852847,
      2.4727317500008876,
      2.4045952728281628,
      2.3413023677343636,
      2.282570264247457,
      2.2280856571908827,
      2.177504014085464,
      2.1304412082290343,
      2.0864867880412024,
      2.0452578666722925,
      2.0063953028783037,
      1.9695426196900114,
      1.934406824287462,
      1.9007593134542027,
      1.868420159019062,
      1.8372444805407004,
      1.8071141883870487,
      1.7779272495675118,
      1.7496002352715088,
      1.7220645401142929,
      1.6952622799412251,
      1.6691467611739903,
      1.6436785955657096,
      1.6188238502712429,
      1.5945527934032309,
      1.570838974083429,
      1.547658543442112,
      1.5249897523947586,
      1.5028125772869831,
      1.4811084380000308,
      1.4598599843535018,
      1.4390509315346203,
      1.4186659314858077,
      1.3986904721396147,
      1.3791106919605975,
      1.3599134014062253,
      1.341086630705656,
      1.322618959780418,
      1.3044993891587424,
      1.286717338719272,
      1.2692626410335903,
      1.2521255305861139,
      1.2352966310502225,
      1.2187669413100988,
      1.202527820039203,
      1.1865713435786618,
      1.1708901839202837,
      1.155477136817087,
      1.1403251482005274,
      1.1254275499904902,
      1.1107788292284513,
      1.0963737099845738,
      1.0822067312134958,
      1.0682723639337959,
      1.054565091769691,
      1.041079464173345,
      1.027810132265263,
      1.0147518725270246,
      1.0018996000038412,
      0.9892483764712373,
      0.9767934133109617,
      0.9645300715772095,
      0.9524538611148825,
      0.9405604368719143,
      0.9288455954738795,
      0.9173052708013455,
      0.9059355293391306,
      0.8947325652998477,
      0.8836929240163647,
      0.8728137161270118,
      0.862092046529299,
      0.8515249528204081,
      0.8411094547010641,
      0.8308425869460753,
      0.820721421139324,
      0.8107430799727661,
      0.8009053606542649,
      0.7912065131011238,
      0.7816445284080905,
      0.7722170529611868,
      0.7629210467136482,
      0.7537535026950052,
      0.7447115776198883,
      0.7357926090669409,
      0.7269940886674018,
      0.7183136337972911,
      0.7097489660872458,
      0.7012978965391966,
      0.6929583141790732,
      0.6847281778798614,
      0.6766055097996699,
      0.6685888623057339,
      0.6606776060909806,
      0.6528708971180824,
      0.6451676064083406,
      0.6375664208914269,
      0.6300659126789583,
      0.6226645868936053,
      0.6153609141307113,
      0.6081533525182188,
      0.6010403632158776,
      0.5940204204802418,
      0.5870920183200278,
      0.5802536744849318,
      0.5735039331587896,
      0.5668413667556966,
      0.5602645765045418,
      0.5537721925694876,
      0.5473628741481187,
      0.5410353092253017,
      0.5347882136843922,
      0.5286203312300841,
      0.5225304322478564,
      0.5165173131808336,
      0.5105797959950596,
      0.5047167274838452,
      0.49892697869541563,
      0.49320944418117074,
      0.48756304109422177,
      0.48198670880118805,
      0.47647940824828655,
      0.47104012116007027,
      0.46566784968425,
      0.46036161579802937,
      0.4551204608095696,
      0.44994344465132924,
      0.44482964552670384,
      0.439778159276035,
      0.4347880989473267,
      0.4298585943696629,
      0.42498879183345006,
      0.4201778534458279,
      0.4154249569778742,
      0.4107292951613195,
      0.40609007553026716,
      0.40150651976588403,
      0.3969778637919422,
      0.3925033569185602,
      0.3880822619423656,
      0.38371385465314584,
      0.3793974234600936,
      0.3751322689348159,
      0.37091770393312734,
      0.3667530529236411,
      0.36263765192265085,
      0.35857071472899327,
      0.3545513123479811,
      0.3505785971542514,
      0.3466518042258724,
      0.3427702294855731,
      0.3389332141063156,
      0.33514013352403277,
      0.3313903898228995,
      0.327683406297249,
      0.3240186234971533,
      0.32039549641387144,
      0.31681349260479647,
      0.31327209076962054,
      0.3097707795821379,
      0.30630905705426476,
      0.3028864297315274,
      0.2995024124173104,
      0.29615652785373725,
      0.29284830605306894,
      0.2895772844740866,
      0.2863430722408445,
      0.2831455181518976,
      0.27998444861561644,
      0.2768596077439718,
      0.2737706840278771,
      0.2707173286063064,
      0.26769916841743857,
      0.26471581548989764,
      0.2617668989218259,
      0.25885215113132015,
      0.25597135118618597,
      0.25312426664176635,
      0.2503106221661721,
      0.24753010596451835,
      0.24478237837908892,
      0.24206708206196256,
      0.23938384874789462,
      0.23673230435806675,
      0.2341120722887067,
      0.23152275841837072,
      0.22896391583985612,
      0.22643511027439558,
      0.22393593142014576,
      0.22146598699007158,
      0.2190248990096988,
      0.21661230069341883,
      0.21422783465253412,
      0.21187115139687665,
      0.2095419082399377,
      0.20723976865465632,
      0.2049644016696216,
      0.20271548152139846,
      0.20049268724259692,
      0.19829570257964954,
      0.19612421579421022,
      0.19397791941212622,
      0.19185651014764543,
      0.18975968881211847,
      0.18768716024496307,
      0.18563863625875243,
      0.1836140020367256,
      0.18161317868920382,
      0.17963602339274293,
      0.17768234993991325,
      0.17575194277620088,
      0.17384457383118448,
      0.1719600141501994,
      0.1700980232886745,
      0.16825835170857323,
      0.166440744494646,
      0.16464494392019507,
      0.1628706914955382,
      0.16111772914509162,
      0.15938580006388267,
      0.1576746492961734,
      0.15598402426662786,
      0.15431367508203195,
      0.1526633544968372,
      0.15103281810849914,
      0.1494218244973337,
      0.14783013507586815,
      0.1462575143409873,
      0.1447037296073225,
      0.1431685512261156,
      0.14165175247609377,
      0.14015310953359847,
      0.1386724012984829,
      0.13720940951507757,
      0.13576391869819718,
      0.13433571610610393,
      0.13292459165200132,
      0.13153033802133537,
      0.1301527503842431,
      0.12879162663781568,
      0.12744676705884356,
      0.1261179746451548,
      0.12480505477229245,
      0.12350781520152172,
      0.12222606617828029,
      0.12095962026514512,
      0.11970829250708039,
      0.11847190015319867,
      0.11725026295183127,
      0.11604325081520088,
      0.11485076184759248,
      0.1136726713638511,
      0.11250883963586589,
      0.11135911717698353,
      0.11022334846716018,
      0.1091013744135397,
      0.10799303416631847,
      0.10689816629094819,
      0.1058166095109444,
      0.10474820333599501,
      0.10369278836771775,
      0.10265020666631793,
      0.1016203017021341,
      0.10060291881455571,
      0.09959790490124466,
      0.09860508298925967,
      0.09762423094711457,
      0.09665514264405684,
      0.09569763343733009,
      0.09475153430959586,
      0.09381668749751532,
      0.09289294373460061,
      0.09198016009284275,
      0.0910781984843117,
      0.09018692166385081,
      0.08930615119222826,
      0.08843569365327206,
      0.08757537905427987,
      0.08672505426142949,
      0.08588457847579276,
      0.08505381988272015,
      0.08423265347447295,
      0.0834209593504511,
      0.08261862160640604,
      0.08182552759822362,
      0.08104156717336648,
      0.08026663250353562,
      0.07950061767775779,
      0.07874341831223082,
      0.07799492583216246,
      0.07725499497862377,
      0.07652347438172907,
      0.07580023035994915,
      0.07508514201070768,
      0.07437809781528038,
      0.0736789932658751,
      0.07298772904783044,
      0.07230420992255433,
      0.07162834384866522,
      0.07096004125529612,
      0.07029921460791362,
      0.06964577808054342,
      0.06899964738405759,
      0.0683607396668016,
      0.06772897321097644,
      0.06710426740045054,
      0.06648654263843862,
      0.06587572032655391,
      0.065271722844241,
      0.06467447352560367,
      0.06408389663648528,
      0.0634999173203501,
      0.06292246154734729,
      0.062351456390608725,
      0.061786832619066735,
      0.06122852281744459,
      0.060676459080405684,
      0.06013057336683243,
      0.05959079790418881,
      0.05905706517088671,
      0.058529307965285146,
      0.05800745965719651,
      0.057491454298467026,
      0.056981226580181815,
      0.05647671192284241,
      0.055977846247896125,
      0.055484566218894985,
      0.05499680917368677,
      0.054514513157697106,
      0.05403761693128319,
      0.05356605991326795,
      0.053099782161599066,
      0.05263872446177044,
      0.05218282831270108,
      0.05173203576934704,
      0.05128628955126722,
      0.050845533061556154,
      0.05040971029695051,
      0.0499787659385924,
      0.0495526452255425,
      0.04913129402490671,
      0.04871465885625737,
      0.04830268692195736,
      0.047895325838010865,
      0.0474925238498501,
      0.04709422990408986,
      0.046700393424259946,
      0.04631096445722072,
      0.04592589360877512,
      0.045545131965628365,
      0.045168631321546845,
      0.04479634386193689,
      0.04442822224462711,
      0.044064219857431995,
      0.04370429050565619,
      0.04334838855653299,
      0.04299646889786419,
      0.04264848695283704,
      0.042304398598234906,
      0.041964160125861315,
      0.04162770669094281,
      0.0412949582649577,
      0.04096584577257201,
      0.040640309136799946,
      0.040318294764073316,
      0.03999975406592617,
      0.03968464192088102,
      0.03937291590021812,
      0.03906453567930985,
      0.03875946234251392,
      0.03845765844451526,
      0.03815908746302855,
      0.03786371364355369,
      0.0375715019517886,
      0.03728241795593491,
      0.036996427691991844,
      0.036713497677369866,
      0.036433594983610776,
      0.03615668711722436,
      0.035882741822529575,
      0.035611727346994686,
      0.03534361217051274,
      0.03507836527670267,
      0.03481595585982122,
      0.03455635357011472,
      0.03429952828682851,
      0.03404545031539619,
      0.03379409013117421,
      0.03354541863315447,
      0.033299407039318295,
      0.0330560269206606,
      0.032815250099312056,
      0.032577048671824115,
      0.032341395071854954,
      0.032108262048144355,
      0.03187762262131043,
      0.03164945006113726,
      0.03142371797916721,
      0.031200400266581416,
      0.030979471052479772,
      0.030760904853999994,
      0.030544676282308964,
      0.030330760360088797,
      0.030119132372728827,
      0.029909767771598473,
      0.029702642262334263,
      0.029497731945123895,
      0.029295013147878878,
      0.02909446241640442,
      0.0288960565686689,
      0.028699772616827858,
      0.028505587848881277,
      0.028313479784295853,
      0.028123426244921073,
      0.027935405280882456,
      0.027749395081367027,
      0.02756537412458006,
      0.027383321163403817,
      0.02720321507218343,
      0.027025034970609776,
      0.02684876032969293,
      0.026674370741758244,
      0.026501846066317426,
      0.026331166335285643,
      0.02616231185913767,
      0.02599526305443172,
      0.025830000560950184,
      0.025666505350354724,
      0.0255047584831259,
      0.025344741218762602,
      0.025186435053501627,
      0.02502982172431421,
      0.0248748831022526,
      0.024721601309097473
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.7861155171233,
      10.569688366742326,
      10.344545148470083,
      10.113324419329167,
      9.8783930654003,
      9.641812491837603,
      9.405403019515548,
      9.170731685514694,
      8.939144452446191,
      8.71174830925246,
      8.489403319599298,
      8.272721159046663,
      8.062072719620645,
      7.857607240064353,
      7.659280241519916,
      7.466887535078545,
      7.2800984205918695,
      7.098488620962277,
      6.921573706917662,
      6.7488380862544775,
      6.579758736301306,
      6.413824938177068,
      6.250556178997424,
      6.089516072186585,
      5.9303193590633,
      5.772639138176826,
      5.616217625068567,
      5.460864689729449,
      5.306460537185694,
      5.152959754133103,
      5.000381401536426,
      4.848815285298643,
      4.698410043600638,
      4.549372872658735,
      4.401971362669966,
      4.256523478722572,
      4.113386114814063,
      3.9729426157800196,
      3.8355916078981487,
      3.70174198230519,
      3.5717971940030724,
      3.446128792295328,
      3.325067975368045,
      3.208897845912577,
      3.097847948516881,
      2.992093376676938,
      2.8917595641071183,
      2.7969206635703743,
      2.707592609919513,
      2.623742193007686,
      2.5452937464278875,
      2.4721174517620232,
      2.404026099780825,
      2.3407737216226665,
      2.28207710643567,
      2.2276227819096164,
      2.177065932198064,
      2.130022012314881,
      2.0860806291239555,
      2.0448597436059788,
      2.006000374555546,
      1.9691467644551324,
      1.9340069335485992,
      1.9003530907323782,
      1.8680059189588498,
      1.8368210006541925,
      1.806680561823709,
      1.7774827750566253,
      1.7491444701040375,
      1.7215972742668615,
      1.6947832815861046,
      1.668655858794692,
      1.6431757339479514,
      1.6183090566878822,
      1.5940261531791886,
      1.5703006122702952,
      1.547108612420392,
      1.5244284222621511,
      1.5022400289872992,
      1.480524858634393,
      1.4592655636042848,
      1.4384458589444908,
      1.4180503955029673,
      1.3980646589411516,
      1.378474825807218,
      1.359267790810036,
      1.340431552061726,
      1.3219546538960236,
      1.3038260703942073,
      1.2860352013259944,
      1.2685718638560024,
      1.2514262807851337,
      1.2345890664389079,
      1.2180512121133729,
      1.201804080145613,
      1.1858397923635997,
      1.170151013394571,
      1.154730516968971,
      1.1395712331461219,
      1.124666508851827,
      1.110010863195934,
      1.095598993294668,
      1.0814254185140428,
      1.0674845952489027,
      1.0537709956812316,
      1.040279161154364,
      1.027003736793686,
      1.0139394939820452,
      1.001081344023158,
      0.9884243452947291,
      0.9759637059748196,
      0.9636947849247312,
      0.9516130896398894,
      0.9397142733788911,
      0.9279941311808189,
      0.916448595343044,
      0.9050737309245422,
      0.893865737279153,
      0.8828213833731368,
      0.8719377981938693,
      0.8612120051917727,
      0.8506409852094652,
      0.8402217180754413,
      0.8299512107001354,
      0.8198265151319679,
      0.8098448267309244,
      0.8000040924396213,
      0.7903024906945024,
      0.7807379487342588,
      0.7713080464005493,
      0.7620097101575033,
      0.7528399169827584,
      0.7437958133556557,
      0.7348747308501854,
      0.7260741570125439,
      0.7173917059933239,
      0.7088250969664155,
      0.700372139131417,
      0.6920307203559529,
      0.6837987984301791,
      0.6756743948020336,
      0.6676563757577401,
      0.6597441470024639,
      0.6519367514753047,
      0.6442329818675309,
      0.6366314705769612,
      0.6291307518425676,
      0.6217293041619957,
      0.6144255795879183,
      0.6072180236636595,
      0.6001050885619592,
      0.5930852421739335,
      0.5861569738722451,
      0.5793187983259848,
      0.5725692575663269,
      0.565906922387992,
      0.5593303927433056,
      0.5528382981066869,
      0.5464292970043635,
      0.5401020768616601,
      0.5338553531055352,
      0.5276878687498171,
      0.5215983938060904,
      0.5155857244748548,
      0.5096486825791274,
      0.5037861148120902,
      0.49799689187880664,
      0.4922799076615741,
      0.48663407904900075,
      0.48105834515997487,
      0.4755516665510923,
      0.4701130248674094,
      0.46474142199830465,
      0.45943587958055354,
      0.4541954384934594,
      0.4490191584771078,
      0.4439061173159373,
      0.43885541060621763,
      0.43386615109249843,
      0.4289374683120806,
      0.42406850826994724,
      0.4192584327641501,
      0.4145064191514425,
      0.40981166002053293,
      0.40517336246948404,
      0.4005907479543339,
      0.3960630520237442,
      0.39158952376356543,
      0.38716942566344825,
      0.3828020331699338,
      0.378486634206549,
      0.3742225292461278,
      0.3700090306655668,
      0.36584546262955997,
      0.36173115463793487,
      0.3576652571214955,
      0.3536468393082087,
      0.34967507572302486,
      0.34574921705632633,
      0.34186857006377586,
      0.33803248328058244,
      0.33424033736886677,
      0.3304915379138017,
      0.32678551037760545,
      0.32312169674868363,
      0.3194995531242012,
      0.3159185476338211,
      0.31237815924452733,
      0.3088778767948612,
      0.30541719824311686,
      0.3019956300514685,
      0.29861268692074283,
      0.2952678911889448,
      0.29196077284629507,
      0.2886908690736738,
      0.28545783818322823,
      0.2822615420837799,
      0.2791017873121835,
      0.2759783040499437,
      0.2728907706061281,
      0.26983883103660034,
      0.2668221073000782,
      0.263840207791421,
      0.26089280392827174,
      0.2579796514522464,
      0.2551005245127071,
      0.25225517254246027,
      0.24944330600690273,
      0.24666460035370585,
      0.24391870694233592,
      0.2412052619472271,
      0.2385238925831425,
      0.23587422147791798,
      0.23325586965466927,
      0.23066842411341612,
      0.22811143451128596,
      0.22558447181417804,
      0.22308712917199747,
      0.22061901680848964,
      0.21817975831403041,
      0.2157689880994094,
      0.21338634941608092,
      0.21103149322831713,
      0.20870407711895067,
      0.20640376465734647,
      0.20413022490996105,
      0.20188313214225703,
      0.1996621652914936,
      0.19746700806124107,
      0.19529734846731692,
      0.19315287900458994,
      0.19103329625203005,
      0.18893830081817342,
      0.1868676116011652,
      0.18482109796773277,
      0.18279868004664432,
      0.1808002131429338,
      0.17882550852969617,
      0.1768743477719112,
      0.17494649929577671,
      0.1730417308632953,
      0.17115979895716626,
      0.16930045066664418,
      0.16746342762304114,
      0.1656484688098836,
      0.16385531220750407,
      0.16208369629659275,
      0.16033336094897707,
      0.15860404798964103,
      0.15689550150197346,
      0.1552074682146268,
      0.15353969756471667,
      0.15189194197807504,
      0.15026395683990781,
      0.1486555005825331,
      0.14706633459065763,
      0.14549622321123237,
      0.14394493384193796,
      0.1424122368443053,
      0.140897905497896,
      0.13940171584877745,
      0.13792344678290222,
      0.13646288005072463,
      0.13501980016100185,
      0.13359399440435443,
      0.13218525271974615,
      0.13079336774149766,
      0.12941813477825723,
      0.1280593516800612,
      0.12671681885943784,
      0.12539033923213597,
      0.1240797181402865,
      0.12278476339802595,
      0.12150528534516056,
      0.12024109668672603,
      0.11899201235294916,
      0.11775787312258461,
      0.11653857159297577,
      0.11533398893778797,
      0.11414398823283212,
      0.11296842055432879,
      0.11180712947791185,
      0.11065995404617797,
      0.1095267308016224,
      0.10840729527490377,
      0.10730148272352964,
      0.10620912913611258,
      0.10513007151329445,
      0.10406414812628466,
      0.10301119884949153,
      0.10197106520592503,
      0.10094359042457582,
      0.09992861951006063,
      0.09892599935038125,
      0.0979355411450734,
      0.09695702146859053,
      0.09599023861140511,
      0.09503501112203444,
      0.0940911721663732,
      0.09315856558455812,
      0.09223704321618546,
      0.09132646287953267,
      0.09042668706038387,
      0.08953757693945051,
      0.08865895163149184,
      0.08779061972590575,
      0.08693241265537072,
      0.08608417831533428,
      0.08524577658202934,
      0.08441707620618293,
      0.08359795254210836,
      0.08278828610060954,
      0.08198796124873373,
      0.0811968654681579,
      0.0804148888542134,
      0.07964192365351314,
      0.07887786397495933,
      0.07812260565087659,
      0.07737604388895196,
      0.07663803895714051,
      0.07590843707636322,
      0.07518710279699903,
      0.07447391402111958,
      0.07376875838309356,
      0.07307153077471125,
      0.0723821315346182,
      0.07170046518335102,
      0.07102643943855376,
      0.07035996462399403,
      0.06970095317772167,
      0.06904931926046522,
      0.06840497864736847,
      0.06776784845711627,
      0.06713784698803278,
      0.06651489366993281,
      0.06589890896935433,
      0.06528981438125357,
      0.06468753235490987,
      0.06409198622949996,
      0.06350310030343213,
      0.06292079975798148,
      0.06234501068596626,
      0.06177565992335488,
      0.06121267783799784,
      0.06065599726238751,
      0.060105550527001714,
      0.0595612697966333,
      0.059023087316369675,
      0.05849093565793633,
      0.05796474786214667,
      0.05744445746874028,
      0.05692999860525905,
      0.05642130601773721,
      0.055918315071904666,
      0.05542096190312331,
      0.05492918315240399,
      0.05444291628337471,
      0.05396209935206821,
      0.0534866712020329,
      0.05301657135389235,
      0.05255173993249849,
      0.052092117831636336,
      0.051637646535250534,
      0.051188268093363395,
      0.05074392534187476,
      0.05030456174388771,
      0.04987012136359677,
      0.04944054896040327,
      0.049015789846910164,
      0.048595789936904436,
      0.04818049582741474,
      0.04776985469565012,
      0.047363814350749336,
      0.046962323116512016,
      0.046565329919400704,
      0.04617278432487701,
      0.04578463638535118,
      0.04540083674767113,
      0.045021336530640756,
      0.044646087541584806,
      0.044275042101140034,
      0.04390815297493413,
      0.04354537356783205,
      0.04318665781859133,
      0.04283196005174692,
      0.042481235286240766,
      0.042134438929300445,
      0.04179152682509185,
      0.04145245548318425,
      0.041117175747912564,
      0.0407856124449732,
      0.040457690673056844,
      0.040133346215400656,
      0.03981252262017094,
      0.039495169151274906,
      0.03918123915890506,
      0.03887068920108732,
      0.03856347812319396,
      0.038259566563385305,
      0.03795891670020064,
      0.03766149174857162,
      0.03736725579383239,
      0.037076173683189245,
      0.03678821087244447,
      0.036503333488163155,
      0.03622150806485523,
      0.03594270166543123,
      0.03566688173662013,
      0.03539401609923776,
      0.03512407299092161,
      0.03485702098973622,
      0.03459282912351172,
      0.03433146663725568,
      0.0340729031973261,
      0.03381710875695261,
      0.03356405363257981,
      0.033313708457869844,
      0.03306604419914217,
      0.032821032124402065,
      0.03257864375782746,
      0.03233885099088842,
      0.03210162599785596,
      0.0318669412159984,
      0.0316347694060996,
      0.03140508364787606,
      0.031177857326668466,
      0.0309530641533271,
      0.030730678007281447,
      0.030510673034642843,
      0.030293023747358074,
      0.030077704955243895,
      0.029864691660954887,
      0.029653959133843766,
      0.02944548294039478,
      0.029239238896206186,
      0.029035203130394822,
      0.02883335198247801,
      0.028633662040172765,
      0.028436110168553335,
      0.02824067342888579,
      0.028047329176539182,
      0.027856054991342437,
      0.027666828688359166,
      0.027479628262831523,
      0.027294432051902812,
      0.02711121861171281,
      0.026929966716084167,
      0.02675065535597828,
      0.026573263727230793,
      0.02639777121576955,
      0.02622415754588496,
      0.02605240262756519,
      0.025882486531920712,
      0.02571438955618758,
      0.025548092190908863,
      0.02538357511687436,
      0.025220819262789858,
      0.02505980580378269,
      0.024900516119457775,
      0.024742931758874626,
      0.024587034473477917,
      0.024432806142200628,
      0.02428022881499215
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786109718478281,
      10.569661661610143,
      10.34448624846071,
      10.11322613116932,
      9.878251003959702,
      9.641624109011758,
      9.405167487070104,
      9.170449320993008,
      8.93881641224605,
      8.711376275384488,
      8.488989103305382,
      8.27226652602114,
      8.06157925425361,
      7.857076252511404,
      7.658712715538731,
      7.4662841126405555,
      7.279459322858638,
      7.097813756838382,
      6.920862790999159,
      6.7480907113755855,
      6.578974528880626,
      6.413003585104783,
      6.249697471120888,
      6.08861998955028,
      5.929385893049724,
      5.771668530214322,
      5.615210709658909,
      5.459822933951211,
      5.30538596189792,
      5.15185503072488,
      4.999249952589403,
      4.847660991677433,
      4.697237171231487,
      4.548186196017071,
      4.400776100665561,
      4.25532520673197,
      4.112190657364689,
      3.9717559256804758,
      3.8344197543112157,
      3.700591359716809,
      3.5706740940376025,
      3.4450392296747716,
      3.324017168541022,
      3.2078900042120644,
      3.096886547397146,
      2.9911811263515564,
      2.8908984199457333,
      2.796111725247008,
      2.706836028374526,
      2.623037555789482,
      2.54463993653934,
      2.471512122147034,
      2.403465619989677,
      2.340253363947945,
      2.2815917428068992,
      2.2271672629972814,
      2.1766348071485,
      2.129609421932502,
      2.0856807908349184,
      2.0444677116758303,
      2.005611363059101,
      1.9687566990413703,
      1.9336127423007994,
      1.8999525055920343,
      1.8675972761495658,
      1.8364030939882037,
      1.8062524973557472,
      1.7770438610142645,
      1.7486942716718954,
      1.7211355876370913,
      1.6943098800607148,
      1.6681705746322495,
      1.642678514443906,
      1.617799931366638,
      1.5935052089434028,
      1.569767975372936,
      1.5465644360092083,
      1.5238728771175927,
      1.5016732965945452,
      1.4799471265397297,
      1.4586770220370155,
      1.437846698395933,
      1.417440805156608,
      1.3974448250845632,
      1.3778449732503621,
      1.3586282285401419,
      1.3397825568206343,
      1.3212964671127436,
      1.3031589070171705,
      1.285359256005556,
      1.2678873159988882,
      1.2507332977153107,
      1.2338878059337177,
      1.2173418243626901,
      1.2010867376665137,
      1.1851147041281491,
      1.1694183619675005,
      1.1539904663706475,
      1.1388239332114696,
      1.123912143501626,
      1.109249625390659,
      1.0948310516450046,
      1.08065092325831,
      1.0667036835128967,
      1.0529837949062117,
      1.0394857907967356,
      1.026204310179815,
      1.0131341195551764,
      1.000270126441038,
      0.9876073860220977,
      0.975141104083361,
      0.9628666371845318,
      0.9507794907161357,
      0.9388753161324878,
      0.9271499068195228,
      0.9155991934724552,
      0.9042192395494927,
      0.8930063607569345,
      0.881957495379061,
      0.8710696790173481,
      0.8603398703686485,
      0.8497650051364016,
      0.8393420316712047,
      0.8290679346690103,
      0.818939750426924,
      0.8089547671596661,
      0.7991110741940346,
      0.7894067622384998,
      0.7798396983865519,
      0.7704073996210424,
      0.7611067609067933,
      0.751934744181551,
      0.7428884867438673,
      0.7339653145253594,
      0.7251627108356836,
      0.7164782868250689,
      0.7079097596349067,
      0.6994549368293346,
      0.6911117049765183,
      0.6828780207417381,
      0.6747520496232609,
      0.6667329013689698,
      0.6588198705451285,
      0.6510119091529124,
      0.6433077465683098,
      0.6357059711630525,
      0.628205086552945,
      0.6208035500751301,
      0.61349979896069,
      0.606292268259247,
      0.5991794030483556,
      0.5921596661445409,
      0.5852315433605982,
      0.5783935466919069,
      0.5716442164176572,
      0.5649821219046327,
      0.5584058622446287,
      0.5519140659736029,
      0.5455053911519349,
      0.539178524440005,
      0.5329321809562952,
      0.5267651034988281,
      0.5206760614914622,
      0.514663850981671,
      0.5087272933555177,
      0.5028652348327347,
      0.49707654572831833,
      0.49136012012078495,
      0.4857148744546455,
      0.48013974754728533,
      0.47463369973893416,
      0.4691957122580837,
      0.46382478667663174,
      0.45851994448311645,
      0.4532802262424471,
      0.44810469120848306,
      0.4429924169592491,
      0.4379424986505167,
      0.4329540488045891,
      0.428026196720977,
      0.42315808801911553,
      0.4183488841620531,
      0.4135977622423852,
      0.4089039144216282,
      0.40426654758438885,
      0.3996848828515999,
      0.395158155412209,
      0.39068561414098424,
      0.38626652110499443,
      0.38190015141702327,
      0.3775857928782741,
      0.3733227454873439,
      0.36911032135002,
      0.3649478444572052,
      0.3608346101245898,
      0.35676971934789353,
      0.3527522674342551,
      0.34878144696346974,
      0.3448565210181728,
      0.34097680488135834,
      0.3371416530130125,
      0.3333504501160356,
      0.3296026045300567,
      0.3258975436384079,
      0.32223471072544496,
      0.3186135625107944,
      0.31503356760768375,
      0.31149420517450654,
      0.3079949639860992,
      0.30453534189591835,
      0.30111484528120336,
      0.29773298849569335,
      0.29438929377399903,
      0.29108329081177975,
      0.28781451646653,
      0.28458268291287253,
      0.28138765874851596,
      0.2782292311852026,
      0.2751071166181328,
      0.2720209837709852,
      0.2689704698783178,
      0.26595519201317785,
      0.26297476817606946,
      0.26002891204845846,
      0.2571173843843304,
      0.25423995328137194,
      0.2513963525699813,
      0.24858627829233682,
      0.24580939436469487,
      0.24306534400787794,
      0.24035375752436905,
      0.2376742579656933,
      0.23502646510658162,
      0.23240999608765237,
      0.22982442005359885,
      0.22726928536354854,
      0.2247441679251992,
      0.22224866429330645,
      0.21978238700327557,
      0.2173449612278286,
      0.21493602236290865,
      0.21255521444478295,
      0.21020218871847118,
      0.20787660310346157,
      0.20557812121826513,
      0.20330641220826734,
      0.20106115017968834,
      0.19884201405231744,
      0.19664868737312782,
      0.19448085811516064,
      0.19233821853781705,
      0.19022046514640528,
      0.18812729838179587,
      0.18605858428863944,
      0.18401426279110755,
      0.18199418483513757,
      0.17999815751018253,
      0.17802595824465559,
      0.17607735088021956,
      0.17415209935367051,
      0.17224995651105002,
      0.17037066591957734,
      0.1685139656785458,
      0.16667959117484815,
      0.1648672768759294,
      0.1630767577209272,
      0.16130777000746696,
      0.1595600520762135,
      0.15783334470078678,
      0.15612739124847422,
      0.1544419379300951,
      0.15277673390476446,
      0.1511315314060196,
      0.14950608560953196,
      0.14790015476358934,
      0.14631350025861747,
      0.14474588643919695,
      0.14319708057117525,
      0.1416668529828558,
      0.1401549768592238,
      0.1386612283124351,
      0.13718538628289836,
      0.13572723262758118,
      0.13428655182913918,
      0.1328631311330765,
      0.13145676059866684,
      0.130067232865609,
      0.12869434321553452,
      0.1273378894829147,
      0.12599767213316584,
      0.12467349407584685,
      0.12336516076550572,
      0.1220724800310173,
      0.12079526226276317,
      0.1195333259801328,
      0.11828654407715092,
      0.11705480577119512,
      0.11583797824610596,
      0.11463591411398062,
      0.11344845657701415,
      0.11227544315886533,
      0.11111670810228413,
      0.10997208392655537,
      0.10884140267789387,
      0.10772449669367262,
      0.1066211993097033,
      0.10553134508063154,
      0.10445476999765256,
      0.10339131180024486,
      0.10234080989303669,
      0.10130310549075848,
      0.10027804180171716,
      0.09926546374062727,
      0.09826521794700344,
      0.09727710473556471,
      0.09630089985491226,
      0.09533640567536548,
      0.09438344361722953,
      0.09344184895373901,
      0.09251146709207668,
      0.09159215091728844,
      0.0906837589725233,
      0.08978615441777858,
      0.0888991972348342,
      0.08802270455348096,
      0.08715648657562126,
      0.08630037585830885,
      0.08545422119267047,
      0.08461788315704362,
      0.08379123098136718,
      0.08297414041802684,
      0.08216649212432696,
      0.08136817063000897,
      0.08057906366911317,
      0.07979906148278475,
      0.07902805641775039,
      0.07826594272032415,
      0.07751261633759216,
      0.07676797470892828,
      0.07603188526760764,
      0.07530419327031136,
      0.07458476110968419,
      0.07387346510401195,
      0.0731701918272598,
      0.07247483541062828,
      0.07178729567779304,
      0.07110747680167463,
      0.07043528624505846,
      0.06977063420667708,
      0.06911343305883544,
      0.06846359694594613,
      0.06782104159020651,
      0.06718568413183539,
      0.06655744285061338,
      0.06593623722266305,
      0.06532198773345047,
      0.06471461590134174,
      0.06411404430533171,
      0.06352019639377912,
      0.06293299651290167,
      0.0623523699066531,
      0.06177824269477716,
      0.06121054181596292,
      0.06064919705026878,
      0.06009414118682088,
      0.05954530680553716,
      0.059002626302739676,
      0.05846603213481141,
      0.05793545703674192,
      0.057410834076146285,
      0.05689209686437465,
      0.05637917964888974,
      0.0558720172933965,
      0.05537054530180411,
      0.05487469976499448,
      0.054384417570800224,
      0.05389963612996578,
      0.05342029357852822,
      0.05294632882987711,
      0.052477681461496624,
      0.052014291683619804,
      0.0515561003388555,
      0.051103049034825695,
      0.050655079955098214,
      0.05021213593022643,
      0.049774160514106915,
      0.04934109787566633,
      0.04891289269296292,
      0.048489490440241666,
      0.04807083712471471,
      0.04765687938486626,
      0.04724756445758812,
      0.04684284019202134,
      0.04644265506265172,
      0.04604695796529029,
      0.045655698542882144,
      0.04526882686186207,
      0.044886293580010915,
      0.04450805005313707,
      0.044134048056393364,
      0.04376423993952189,
      0.04339857864786042,
      0.0430370176850455,
      0.04267951098250043,
      0.04232601292641077,
      0.041976478526418136,
      0.04163086328453182,
      0.0412891231071949,
      0.040951214581898064,
      0.040617094648288055,
      0.04028670392163568,
      0.03995996419056281,
      0.039636806067061395,
      0.039317169341431375,
      0.03900100053369298,
      0.03868825106566189,
      0.03837887615225279,
      0.03807283375818879,
      0.03777008389325489,
      0.03747058813161302,
      0.03717430937250575,
      0.036881211520442644,
      0.03659125931230497,
      0.036304418096871065,
      0.036020653953783906,
      0.035739933398751,
      0.035462223554801026,
      0.035187491871010224,
      0.03491570617992193,
      0.03464683474324886,
      0.03438084621376096,
      0.03411770955398558,
      0.03385739410250952,
      0.03359986963528418,
      0.033345106155201164,
      0.03309307401646453,
      0.03284374386582601,
      0.03259708672176156,
      0.03235307386429214,
      0.0321116768912215,
      0.03187286775627725,
      0.03163661873265346,
      0.03140290233630291,
      0.031171691364654034,
      0.030942958942727014,
      0.03071667854529801,
      0.030492823912041635,
      0.030271368954261527,
      0.030052287888246015,
      0.029835555165911087,
      0.029621145712163077,
      0.029409034629276822,
      0.029199197242687804,
      0.028991609166481136,
      0.028786246255645735,
      0.028583084600637913,
      0.028382100567176136,
      0.028183270799207235,
      0.027986572276934463,
      0.02779198210876247,
      0.027599477705868722,
      0.027409036684096805,
      0.027220636893877007,
      0.027034256460766508,
      0.026849873775935472,
      0.026667467383073382,
      0.02648701598961224,
      0.02630849870459943,
      0.026131894800926637,
      0.02595718375513321,
      0.02578434526850678,
      0.025613359286342497,
      0.025444205954207492,
      0.02527686557840761,
      0.025111318758737417,
      0.024947546248662168,
      0.024785529016871106,
      0.02462524824570578,
      0.024466685276478845,
      0.024309821724064373,
      0.02415463933484403,
      0.02400112005184165,
      0.023849246138047602
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.78610394516285,
      10.569635075868833,
      10.344427614131302,
      10.113128303795133,
      9.878109641120329,
      9.641436692971848,
      9.40493321194838,
      9.17016851111028,
      8.938490193113239,
      8.711006311602802,
      8.488577218432557,
      8.27181449580324,
      8.061088672050197,
      7.856548436753438,
      7.658148656942651,
      7.465684461530047,
      7.278824306294581,
      7.0971432924732385,
      6.920156602863708,
      6.747348401296958,
      6.578195732111546,
      6.412187997513849,
      6.248844891496591,
      6.0877304066114375,
      5.928459306664286,
      5.7707051888216565,
      5.614211453044323,
      5.458789232528869,
      5.304319836674084,
      5.150759149893841,
      4.9981277314284664,
      4.846516300681564,
      4.696074265078238,
      4.547009831315336,
      4.399591471487581,
      4.254137858053677,
      4.1110063788617985,
      3.9705806313831156,
      3.833259518320853,
      3.6994525646702208,
      3.5695629083425757,
      3.4439615596670796,
      3.3229781586939415,
      3.206893823964749,
      3.0959366343030843,
      2.9902801572412194,
      2.8900483220099287,
      2.795313574162433,
      2.706089955429554,
      2.6223431326487976,
      2.543995968083485,
      2.4709162018207174,
      2.4029141019288085,
      2.3397415467164477,
      2.281114529097641,
      2.2267195408289933,
      2.176211145067443,
      2.1292039902789854,
      2.0852878561486654,
      2.044082372592092,
      2.005228877625832,
      1.968373031958177,
      1.9332248521624071,
      1.8995581481337434,
      1.867194806417111,
      1.8359913212811636,
      1.8058305400833816,
      1.7766110376518212,
      1.7482501547476583,
      1.7206799791799454,
      1.693842557731153,
      1.6676913744146493,
      1.642187387218814,
      1.6172969089691709,
      1.5929903802151353,
      1.5692414687835397,
      1.5460264065290241,
      1.523323497098364,
      1.5011127492393137,
      1.4793756006913914,
      1.458094708639786,
      1.4372537886263783,
      1.4168374882361843,
      1.3968312877016063,
      1.3772214195582682,
      1.3579949573240884,
      1.3391398557912415,
      1.3206445852701834,
      1.3024980644481663,
      1.2846896515388557,
      1.2672091316470229,
      1.2500467030022997,
      1.2331929608856949,
      1.2166388807527335,
      1.2003758685196748,
      1.1843961191677823,
      1.1686922450551414,
      1.153256981840317,
      1.1380832307341984,
      1.123164407624499,
      1.1084950485539975,
      1.0940698023151543,
      1.0798831522064813,
      1.0659295279528167,
      1.0522033816132668,
      1.0386992392277288,
      1.025411733764093,
      1.012335627396006,
      0.9994658233935456,
      0.9867973735882384,
      0.9743254811066426,
      0.9620455003447238,
      0.9499529348749712,
      0.9380434342250142,
      0.9263127900016822,
      0.9147569312706162,
      0.903371920266307,
      0.8921542714097506,
      0.8811009814694767,
      0.8702090016326596,
      0.8594752321046938,
      0.8488965673896545,
      0.8384699268002723,
      0.8281922747813126,
      0.818060633420165,
      0.8080724492424586,
      0.7982258681629931,
      0.7885189007143142,
      0.7789493586420109,
      0.7695147010388047,
      0.7602117936748971,
      0.7510375843147611,
      0.7419892016778246,
      0.7330639667725691,
      0.7242593592061953,
      0.7155729875039715,
      0.7070025667893813,
      0.6985459031025478,
      0.6902008817684158,
      0.6819654587099785,
      0.6738379832903931,
      0.6658177691421197,
      0.6579039847578644,
      0.6500954956742654,
      0.6423909711967589,
      0.6347889581290144,
      0.6272879310141661,
      0.6198863267786602,
      0.6125825686232111,
      0.6053750816585171,
      0.5982623039827719,
      0.5912426936016825,
      0.5843147328491292,
      0.5774769313778201,
      0.570727827584656,
      0.5640659897325467,
      0.5574900158148645,
      0.5509985337224236,
      0.5445902007550549,
      0.5382637032488866,
      0.5320177558672572,
      0.5258511007889493,
      0.5197625073597609,
      0.513750771269439,
      0.5078147133874119,
      0.5019531796320821,
      0.49616504017534535,
      0.4904491885704431,
      0.48480454128930567,
      0.47923003680807985,
      0.4737246350059272,
      0.46828731682887154,
      0.46291708358681316,
      0.457612956368527,
      0.4523739754751951,
      0.4471991999766518,
      0.4420877070875015,
      0.43703859169471165,
      0.4320509659634568,
      0.4271239588948243,
      0.4222567158127254,
      0.41744839793342975,
      0.4126981820195938,
      0.40800525984033437,
      0.4033688379216859,
      0.39878813700432447,
      0.39426239204842267,
      0.3897908515164217,
      0.385372777281699,
      0.3810074440708144,
      0.3766941393561829,
      0.37243216296216486,
      0.3682208266914998,
      0.36405945409882107,
      0.3599472986441576,
      0.3558834233787805,
      0.3518669486656198,
      0.34789708417699794,
      0.34397310493907907,
      0.34009433444351683,
      0.3362601329236338,
      0.3324698889095289,
      0.32872301333319226,
      0.3250189354259195,
      0.3213570994403097,
      0.3177369627328005,
      0.31415799428565616,
      0.31061967343454416,
      0.30712148906529707,
      0.303662938934451,
      0.30024352929062686,
      0.2968627742609395,
      0.29352019582894756,
      0.29021532345031964,
      0.2869477020797693,
      0.2837170935679639,
      0.28052336412930673,
      0.27736628307902395,
      0.2742455541351476,
      0.2711608371031604,
      0.26811176280176213,
      0.26509794375486095,
      0.2621190267759263,
      0.2591747537604061,
      0.25626488379798956,
      0.25338917501006986,
      0.25054734716567334,
      0.2477390818769245,
      0.24496403291432384,
      0.24222183636312336,
      0.2395121175450423,
      0.23683449601674306,
      0.23418858879130594,
      0.2315740023990879,
      0.2289902918742703,
      0.22643701121487445,
      0.22391374031986253,
      0.2214200784726777,
      0.21895564002764062,
      0.2165200513902258,
      0.21411294869534503,
      0.2117339765442933,
      0.20938278647244501,
      0.20705903650378218,
      0.20476239037863342,
      0.20249251712612984,
      0.20024909090399612,
      0.1980317905325782,
      0.1958402994087389,
      0.19367430532854552,
      0.1915335004351645,
      0.18941758101157052,
      0.18732636957088072,
      0.18525983668804588,
      0.183217848385414,
      0.18120020613660817,
      0.17920668235981582,
      0.1772370352167487,
      0.1752910242233137,
      0.17336839856667713,
      0.17146889805493148,
      0.16959225699982577,
      0.16773820693568764,
      0.1659064787505627,
      0.16409680388258274,
      0.16230891503074854,
      0.16054254699432033,
      0.15879743702624396,
      0.1570733251230707,
      0.1553699541563204,
      0.15368706998610784,
      0.15202442162149912,
      0.1503817610145182,
      0.1487588432566331,
      0.14715542658134742,
      0.14557127224867833,
      0.14400614458494723,
      0.1424598109493555,
      0.14093204156949454,
      0.1394226096212117,
      0.13793129125374,
      0.13645786544605137,
      0.13500211401843745,
      0.1335638215191119,
      0.1321427752340107,
      0.1307387652181921,
      0.1293515841258923,
      0.12798102716977075,
      0.12662689227925428,
      0.12528897988587956,
      0.12396709296500226,
      0.12266103697127774,
      0.12137061983932126,
      0.12009568317781961,
      0.11883611581021002,
      0.1175917915091757,
      0.11636256606082158,
      0.11514828347760467,
      0.11394878040904692,
      0.11276388912968523,
      0.11159343958650196,
      0.11043726070493023,
      0.10929518149262947,
      0.10816703159534764,
      0.10705264169547668,
      0.10595184395823498,
      0.1048644721643804,
      0.10379036184846917,
      0.1027293504177317,
      0.10168127716907426,
      0.10064598324268893,
      0.09962331176669255,
      0.09861310769040386,
      0.09761521243653058,
      0.09662941863529984,
      0.09565550645252376,
      0.09469328143189663,
      0.09374256725526771,
      0.09280320066223877,
      0.09187502802934559,
      0.09095790306097003,
      0.09005168501087848,
      0.08915623746524459,
      0.08827141963383311,
      0.08739704734576592,
      0.08653293197213965,
      0.0856789070157813,
      0.08483482200019472,
      0.08400053793636776,
      0.08317592443688157,
      0.08236085746084217,
      0.08155521794839071,
      0.08075889064581084,
      0.07997176343209371,
      0.07919372671091801,
      0.07842467293038642,
      0.0776644963676066,
      0.07691309304131978,
      0.07617036046219705,
      0.07543617504267244,
      0.07471038352127467,
      0.07399284542565432,
      0.07328343511615958,
      0.07258203776773682,
      0.07188854658638891,
      0.071202860708542,
      0.07052488382968318,
      0.06985452318746906,
      0.06919168877475122,
      0.06853629280176314,
      0.06788824942441592,
      0.06724747431127363,
      0.06661388456311464,
      0.0659873984914073,
      0.06536793564343447,
      0.0647554165582067,
      0.06414976285714476,
      0.06355089714461852,
      0.06295874283273481,
      0.062373224312941844,
      0.06179426688581674,
      0.06122179679985892,
      0.06065574101367073,
      0.060096028735098284,
      0.05954259275709101,
      0.058995365940202445,
      0.05845428087681566,
      0.057919270243696835,
      0.057390266865405076,
      0.056867204039153636,
      0.05635001545397504,
      0.055838635436098266,
      0.05533299884991036,
      0.054833041236225386,
      0.05433869885146113,
      0.05384990851874989,
      0.05336660781499922,
      0.05288873503201393,
      0.05241622907649389,
      0.05194902951248338,
      0.05148707666679889,
      0.05103031146991778,
      0.05057867553831413,
      0.0501321111538124,
      0.04969056130933802,
      0.049253969547656117,
      0.04882228004363502,
      0.04839543761283825,
      0.04797338773205789,
      0.04755607645721667,
      0.047143450537876185,
      0.04673545728599885,
      0.04633204458078276,
      0.045933160938868234,
      0.0455387553742467,
      0.04514877751760795,
      0.04476317754704512,
      0.0443819062707162,
      0.04400491510353363,
      0.04363215586803385,
      0.043263580946846465,
      0.04289914334830189,
      0.04253879648803175,
      0.04218249434434053,
      0.04183019151077337,
      0.041481842964813484,
      0.041137404321583394,
      0.04079683164465259,
      0.0404600813986119,
      0.040127110695546114,
      0.03979787452410165,
      0.039472304151205825,
      0.03915032339640919,
      0.03883186720226491,
      0.0385168786627258,
      0.038205306803463915,
      0.037897105142446784,
      0.037592230229779505,
      0.037290641230007644,
      0.03699229917405379,
      0.03669716655897198,
      0.03640520694053923,
      0.03611638484497256,
      0.03583066557291488,
      0.03554801501613629,
      0.03526839960692366,
      0.034991786501668315,
      0.03471814314079017,
      0.03444743747124433,
      0.0341796378370962,
      0.03391471286206912,
      0.03365263158129873,
      0.033393363396506275,
      0.03313687798175199,
      0.03288314545102185,
      0.0326321362732219,
      0.032383821150100356,
      0.0321381711180796,
      0.03189515756846145,
      0.03165475217354621,
      0.03141692687438415,
      0.031181653939598306,
      0.03094890597444691,
      0.030718655819986555,
      0.030490876717181443,
      0.030265542078014587,
      0.030042625597709316,
      0.02982210135532577,
      0.029603943670870395,
      0.0293881271447795,
      0.029174626621985583,
      0.028963417258878462,
      0.02875447446407236,
      0.028547773865842088,
      0.02834329138204104,
      0.028141003147956634,
      0.02794088569649744,
      0.027742915681676035,
      0.027547069984480217,
      0.027353325883051467,
      0.02716166078867547,
      0.026972052408723867,
      0.026784478630542428,
      0.02659891759714037,
      0.026415347713762086,
      0.026233747623633723,
      0.026054096181609965,
      0.025876372428509598,
      0.025700555680871092,
      0.025526625398841967,
      0.025354561388814006,
      0.025184343600322984,
      0.025015952266906012,
      0.024849367739448805,
      0.024684570622468174,
      0.02452154170434924,
      0.024360262063320055,
      0.02420071293285986,
      0.02404287572050621,
      0.023886732033409727,
      0.023732263695385183,
      0.023579452694676168,
      0.023428281224755633
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786098195854583,
      10.569608604026584,
      10.34436924325283,
      10.113030940734793,
      9.877968982847758,
      9.641250251802372,
      9.404700201749563,
      9.169889248021907,
      8.938165790677258,
      8.710638443323425,
      8.48816771444601,
      8.271365137302935,
      8.060601055574475,
      7.856023882627706,
      7.6575881601658775,
      7.465088676040951,
      7.278193462522812,
      7.096477313860557,
      6.91945522061364,
      6.746611224946645,
      6.577422406468844,
      6.411378228785952,
      6.247998489352563,
      6.086847344756381,
      5.927539573299403,
      5.769749053672675,
      5.6132197733930616,
      5.457763483552335,
      5.303262039899977,
      5.1496719696674,
      4.997014576862934,
      4.845381033137586,
      4.6949211268505895,
      4.545843562754809,
      4.3984172444734675,
      4.252961189434558,
      4.10983302506786,
      3.9694164686078643,
      3.8321105852914217,
      3.698325201972692,
      3.5684631976922705,
      3.442895277608152,
      3.321950256142521,
      3.205908455249338,
      3.0949972234383614,
      2.9893893698400804,
      2.8892080759506693,
      2.794524937121735,
      2.705353053226247,
      2.621657535311074,
      2.5433604214750516,
      2.4703282585964077,
      2.4023699568556185,
      2.3392365588939286,
      2.2806436626189868,
      2.226277744301878,
      2.175793048528325,
      2.128803826880004,
      2.0848999527258796,
      2.043701878652855,
      2.0048511015214916,
      1.9679939815576941,
      1.9328415195583346,
      1.8991683141365867,
      1.8667968451212347,
      1.8355840559750949,
      1.8054131003829599,
      1.7761827511665487,
      1.7478106008440735,
      1.7202289647197009,
      1.6933798642091065,
      1.6672168398804443,
      1.6417009641148803,
      1.616798630947543,
      1.5924803376261778,
      1.5687197911929027,
      1.54549324902835,
      1.5227790318451648,
      1.5005571588231421,
      1.4788090735814827,
      1.457517436203955,
      1.436665962344559,
      1.4162392979689342,
      1.3962229203984564,
      1.376603058807489,
      1.3573668907130167,
      1.3385023809901233,
      1.3199979584919324,
      1.3018425110621294,
      1.2840253734735805,
      1.2665363136133674,
      1.249365516109766,
      1.2325035655313352,
      1.2159414291363257,
      1.1996705346561678,
      1.1836831129091783,
      1.1679717498346105,
      1.1525291619708742,
      1.137348236322757,
      1.1224224231433064,
      1.10774626626366,
      1.0933143901412608,
      1.0791212602193219,
      1.0651612930110739,
      1.051428930684327,
      1.0379186914884857,
      1.024625202449201,
      1.011543221090227,
      0.9986676468699591,
      0.9859935284976756,
      0.9735160663653701,
      0.9612306125257876,
      0.9491326684502173,
      0.9372178819113671,
      0.9254820428556878,
      0.9139210789887935,
      0.9025311064695798,
      0.8913088361605773,
      0.8802512337884156,
      0.8693551772643431,
      0.8586175155088852,
      0.8480351073092386,
      0.8376048471186173,
      0.8273236817088576,
      0.8171886208068015,
      0.8071973010634155,
      0.7973478844938598,
      0.7876383056274352,
      0.778066323629466,
      0.7686293420971607,
      0.7593241990726858,
      0.7501478289965406,
      0.7410973523946925,
      0.7321700852253396,
      0.7233635037191577,
      0.7146752138443188,
      0.7061029289740146,
      0.6976444536856954,
      0.6892976721964209,
      0.6810605394385655,
      0.6729317151805977,
      0.6649105477437904,
      0.65699609373106,
      0.6491871411393905,
      0.6414823053202292,
      0.6338800952672272,
      0.6263789591593556,
      0.618977315916906,
      0.6116735759264041,
      0.6044661555372502,
      0.5973534867059045,
      0.5903340231004375,
      0.5834062440183637,
      0.5765686566477748,
      0.5698197978601731,
      0.5631582346338775,
      0.5565825641874582,
      0.55009141362876,
      0.543683439737998,
      0.5373573283070949,
      0.5311117937279045,
      0.5249455779705894,
      0.5188574497698412,
      0.512846204354636,
      0.5069106625563554,
      0.5010496699601725,
      0.49526209645932007,
      0.48954683542757776,
      0.48390280292014876,
      0.4783289369563021,
      0.4728241972933814,
      0.4673875645764613,
      0.4620180398078086,
      0.4567146437051382,
      0.4514764162058682,
      0.446302416094024,
      0.4411917203452786,
      0.43614342344634677,
      0.4311566372749044,
      0.4262304904738912,
      0.42136412813712026,
      0.416556711017818,
      0.4118074155585013,
      0.4071154332192328,
      0.40247997027424276,
      0.39790024731590073,
      0.3933754989249411,
      0.3889049733043978,
      0.384487931955017,
      0.3801236492402216,
      0.37581141224883063,
      0.3715505203711545,
      0.3673402851497176,
      0.3631800297941617,
      0.3590689441327544,
      0.3550060836477122,
      0.3509905908102928,
      0.3470216906849097,
      0.3430986690871041,
      0.3392208571310285,
      0.3353876201161742,
      0.33159834998888227,
      0.32785246001714236,
      0.3241493808471403,
      0.3204885576985986,
      0.3168694485253148,
      0.3132915225752037,
      0.30975425939671464,
      0.30625714784344765,
      0.30279968548171643,
      0.2993813783363074,
      0.2960017404651652,
      0.2926602935663479,
      0.28935656676868693,
      0.28609013246507925,
      0.28286079238965367,
      0.2796683913492783,
      0.27651268361700215,
      0.27339336231160233,
      0.2703100795524318,
      0.26726246074448073,
      0.26425011454853126,
      0.26127273527867717,
      0.2583300754253439,
      0.2554218916595378,
      0.25254792904316276,
      0.2497078923035778,
      0.24690145038355088,
      0.2441282481312472,
      0.24138791518745664,
      0.23868007233452612,
      0.23600433581482583,
      0.2333603204747119,
      0.23074762008919802,
      0.22816577903838708,
      0.22561435691648796,
      0.22309293730582244,
      0.2206011221275224,
      0.21813852747623308,
      0.21570478091116826,
      0.2132995194303373,
      0.21092238796763477,
      0.20857303842069677,
      0.20625112893840444,
      0.20395632337695793,
      0.20168829078295697,
      0.19944670509204476,
      0.1972312449919056,
      0.19504159380929262,
      0.19287743926789497,
      0.19073847328231125,
      0.18862446369834743,
      0.18653538466404215,
      0.18447115679028372,
      0.18243158556618563,
      0.18041643500254498,
      0.17842545515427452,
      0.17645839912856762,
      0.1745150113051806,
      0.1725950269609872,
      0.1706981761138161,
      0.16882418626003376,
      0.16697278437951263,
      0.1651436979227979,
      0.1633366559869515,
      0.16155138971777894,
      0.15978763279242,
      0.15804512166635123,
      0.1563235958083085,
      0.15462279774639642,
      0.15294247301442915,
      0.15128237034832523,
      0.14964224164393802,
      0.14802184193022186,
      0.14642092942789184,
      0.1448392653382579,
      0.14327661392643878,
      0.14173274251910614,
      0.14020742142842654,
      0.13870042383438727,
      0.1372115258350317,
      0.1357405063784368,
      0.13428714732448258,
      0.13285123324845668,
      0.13143255155889397,
      0.13003089230606912,
      0.12864604811350644,
      0.1272778142447893,
      0.12592598859000892,
      0.1245903716923351,
      0.12327076652245476,
      0.12196698634835597,
      0.1206789013224864,
      0.11940639459427095,
      0.11814932696228093,
      0.11690754459362801,
      0.11568088421484427,
      0.11446917672550998,
      0.11327224970032058,
      0.11208992918381969,
      0.11092204072137629,
      0.10976841029775898,
      0.1086288649014051,
      0.10750323277951361,
      0.10639134374177757,
      0.105293029361275,
      0.10420812309829888,
      0.10313646027166395,
      0.10207787816366473,
      0.10103221599842863,
      0.09999931488851461,
      0.09897901794735037,
      0.0979711702368658,
      0.09697560832700441,
      0.09599211793667085,
      0.09502048336378369,
      0.09406051296768136,
      0.09311203243774634,
      0.09217488002595417,
      0.0912489031762729,
      0.0903339563212689,
      0.08942989927814325,
      0.08853659592555777,
      0.08765390503818433,
      0.08678164174398213,
      0.08591961846119694,
      0.08506766940528931,
      0.08422564455061153,
      0.08339340536282394,
      0.08257082165694485,
      0.08175776967065558,
      0.08095413049608331,
      0.08015978909958234,
      0.07937463344838186,
      0.0785985539476318,
      0.07783144308062136,
      0.07707319539077513,
      0.07632370701652422,
      0.0755828755566809,
      0.07485058696422417,
      0.07412668947628666,
      0.07341103964844799,
      0.07270350964162628,
      0.0720039831252097,
      0.07131235229041137,
      0.0706285155771998,
      0.06995237616646668,
      0.06928384099273624,
      0.06862281983531411,
      0.06796922473177061,
      0.06732296964804736,
      0.06668397031517329,
      0.06605214385638067,
      0.06542740862923226,
      0.06480968413626541,
      0.06419889087931792,
      0.06359495063445483,
      0.06299778598085522,
      0.0624073204978077,
      0.06182347861521854,
      0.061246185747661115,
      0.060675368088231194,
      0.060110952707727,
      0.059552868384895305,
      0.05900104778027206,
      0.05845542400067097,
      0.057915929930430814,
      0.057382498352989815,
      0.05685506226576355,
      0.05633355507220334,
      0.055817910520380695,
      0.055308062973969056,
      0.05480394749773771,
      0.05430549967861305,
      0.0538126557985558,
      0.05332535280976424,
      0.05284352833139275,
      0.05236712064556458,
      0.05189606873433848,
      0.05143031236062406,
      0.050969791903710385,
      0.0505144483310808,
      0.050064223334553286,
      0.049619059198859713,
      0.049178898888703484,
      0.0487436860303239,
      0.04831336501971686,
      0.04788788079647188,
      0.04746717881073752,
      0.047051205211667425,
      0.046639906771054326,
      0.04623323082868057,
      0.04583112539877766,
      0.04543353892296736,
      0.04504042055276391,
      0.04465171998940532,
      0.04426738755515886,
      0.04388737401844286,
      0.04351163078997026,
      0.04314010973002507,
      0.04277276333603573,
      0.04240954471300693,
      0.04205040739062488,
      0.04169530547591288,
      0.04134419347078796,
      0.04099702649859224,
      0.040653760160570526,
      0.04031435048976031,
      0.03997875420565019,
      0.03964692846230869,
      0.03931883078610268,
      0.03899441161118479,
      0.03867359547424861,
      0.03835631099649857,
      0.03804249671509124,
      0.03773209839095177,
      0.03742506710491192,
      0.03712135789950293,
      0.03682092871262662,
      0.03652373975223865,
      0.03622975286991487,
      0.03593893132282368,
      0.03565123934394707,
      0.035366642062600026,
      0.035085105352288835,
      0.034806595570020124,
      0.03453107969190233,
      0.034258525285868174,
      0.03398890019078517,
      0.03372217275961683,
      0.03345831169431932,
      0.033197286063308316,
      0.03293906526637285,
      0.032683619112176626,
      0.03243091778919064,
      0.032180931729982064,
      0.03193363170539714,
      0.03168898882787618,
      0.03144697453712477,
      0.031207560507267997,
      0.030970718787306,
      0.03073642173616965,
      0.03050464204508926,
      0.030275352567002412,
      0.030048526496458478,
      0.029824137458825613,
      0.029602159146181587,
      0.02938256565955587,
      0.029165331404376365,
      0.02895043099337683,
      0.028737839328637455,
      0.028527531487103828,
      0.0283194830272576,
      0.02811366964499446,
      0.027910067358656043,
      0.02770865240842612,
      0.027509401223839425,
      0.027312290500065957,
      0.027117297278356725,
      0.026924398817822708,
      0.02673357255734642,
      0.026544796265765228,
      0.026358047916500205,
      0.02617330566497031,
      0.025990547995183737,
      0.02580975351123476,
      0.025630901213065355,
      0.02545397018187914,
      0.02527893971449109,
      0.02510578943296199,
      0.024934499160304116,
      0.02476504885726404,
      0.02459741876329745,
      0.024431589296836958,
      0.024267541096151847,
      0.02410525503255975,
      0.023944712173645348,
      0.023785893845779952,
      0.023628781462450295,
      0.023473356667410954,
      0.023319601377513335,
      0.023167497590818053,
      0.023017027605460864
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786092465874114,
      10.56958222228676,
      10.344311081560985,
      10.11293394231389,
      9.877828877387131,
      9.6410645751952,
      9.40446818807586,
      9.169611228515683,
      8.937842889465161,
      8.710272342431534,
      8.48776024968228,
      8.270918092140295,
      8.060116028629952,
      7.855502197301807,
      7.657030812683835,
      7.464496324272305,
      7.277566343692424,
      7.095815356879956,
      6.918758162482805,
      6.7458786810887945,
      6.576654026636472,
      6.410573723654435,
      6.247157674269326,
      6.085970114508123,
      5.926625850477338,
      5.768799169467847,
      5.612234636080986,
      5.456744575549852,
      5.302211387519495,
      5.148592239446131,
      4.995909175539399,
      4.844253816580642,
      4.693776329894433,
      4.544685912214808,
      4.397251894835873,
      4.2517936355102055,
      4.10866899660017,
      3.968261811248499,
      3.8309713033339547,
      3.697207596906065,
      3.5673732804033307,
      3.4418386002574013,
      3.3209317146631374,
      3.2049321929415813,
      3.094066654382425,
      2.9885071504075658,
      2.8883761150745517,
      2.7937442967865036,
      2.704623855793521,
      2.6209793490249758,
      2.542731995506008,
      2.469747154073492,
      2.4018323820139638,
      2.3387378904057465,
      2.2801788847407147,
      2.225841826382629,
      2.1753806438492105,
      2.1284091902575795,
      2.0845174342761643,
      2.043326651459707,
      2.0044784953473944,
      1.9676200283424923,
      1.9324632310363703,
      1.8987834872221339,
      1.866403867152799,
      1.8351817605792824,
      1.8050006251819344,
      1.7757594306872235,
      1.7473760200550132,
      1.7197829348012328,
      1.6929221695746508,
      1.6667473222217677,
      1.6412195781944479,
      1.6163054119653955,
      1.591975377311012,
      1.5682032198032116,
      1.5449652234368287,
      1.5222397256993503,
      1.5000067562114265,
      1.478247764018204,
      1.4569454113894638,
      1.4360834138829315,
      1.4156464160901134,
      1.395619892814992,
      1.3759900697521399,
      1.3567442283973985,
      1.337870343685702,
      1.3193568025803841,
      1.3011924620021293,
      1.283366633811251,
      1.2658690685922447,
      1.2486899373356883,
      1.231819814214966,
      1.2152496578943532,
      1.1989709173690637,
      1.1829758595033801,
      1.1672570440240784,
      1.1518071681978737,
      1.136619104771394,
      1.121686338054235,
      1.1070034197103273,
      1.092564949904257,
      1.0783653762635534,
      1.0643991021776316,
      1.0506605599065997,
      1.0371442599410312,
      1.023844823343126,
      1.0107570027593,
      0.9978756939111977,
      0.9851959423049613,
      0.9727129460742355,
      0.9604220548940782,
      0.9483187681997686,
      0.9363987317164614,
      0.9246577336896047,
      0.9130917003708049,
      0.9016968814598362,
      0.8904701292130092,
      0.8794083188540387,
      0.8685082658810047,
      0.8577667756813347,
      0.8471806767472194,
      0.836746841979228,
      0.82646220269386,
      0.8163238078969078,
      0.8063294606536858,
      0.7964772892159929,
      0.786765160731443,
      0.7771907874043598,
      0.7677515228166388,
      0.7584441802975721,
      0.749265682182542,
      0.7402131419855268,
      0.7312838716340295,
      0.7224753444871009,
      0.7137851640994801,
      0.7052110421823885,
      0.6967507820368131,
      0.688402266903376,
      0.6801635130063636,
      0.6720334598705522,
      0.6640114277296381,
      0.6560963706968391,
      0.6482870055351503,
      0.640581898270231,
      0.6329795234315452,
      0.6254783056451847,
      0.6180766471175106,
      0.6107729468275293,
      0.6035656130984902,
      0.5964530719896849,
      0.5894337730193849,
      0.5825061927318745,
      0.5756688364854372,
      0.568920239596504,
      0.5622589677515369,
      0.5556836174352155,
      0.5491928149854132,
      0.5427852167748051,
      0.5364595080589495,
      0.5302144027608799,
      0.524048642415849,
      0.5179609958854049,
      0.5119502578092389,
      0.5060152486982726,
      0.5001548139269111,
      0.4943678228994565,
      0.4886531685721423,
      0.48300976669853674,
      0.47743655515669936,
      0.47193249343784754,
      0.46649656181634147,
      0.46112776096537955,
      0.4558251113859572,
      0.45058765262614797,
      0.445414443181841,
      0.44030455968420573,
      0.4352570963406556,
      0.43027116465661236,
      0.4253458929833174,
      0.4204804260453379,
      0.41567392444925766,
      0.41092556432780564,
      0.4062345367393321,
      0.40160004763769097,
      0.39702131734607526,
      0.39249757999337537,
      0.3880280835254647,
      0.38361208899406185,
      0.3792488706006415,
      0.3749377151733513,
      0.37067792176473024,
      0.3664688014978744,
      0.36230966774416706,
      0.35819965191851894,
      0.3541378114638841,
      0.350123309491852,
      0.3461553854865569,
      0.3422333351276853,
      0.3383564961943981,
      0.33452423863113656,
      0.33073595764699654,
      0.32699106868007355,
      0.32328900370124347,
      0.31962920889566615,
      0.31601114283737786,
      0.3124342750241219,
      0.3088980849078504,
      0.3054020613551235,
      0.30194570195103365,
      0.2985285125011475,
      0.2951500067436245,
      0.2918097061947466,
      0.2885071396572937,
      0.2852419066183154,
      0.2820138487813278,
      0.2788227894386148,
      0.2756684680295793,
      0.2725505669112638,
      0.2694687306574779,
      0.26642257952535625,
      0.26341174305499915,
      0.26043595087343563,
      0.25749494466743295,
      0.2545884819350263,
      0.2517162929163057,
      0.24887806821473443,
      0.2460734660648617,
      0.24330212363604636,
      0.24056366521514932,
      0.2378577076179111,
      0.2351838643892522,
      0.23254174829938726,
      0.22993093521101923,
      0.2273509664607828,
      0.22480140672004612,
      0.22228184300798037,
      0.21979187952430468,
      0.21733113396230416,
      0.2148992348937496,
      0.212495820038274,
      0.21012053477498782,
      0.2077730312470451,
      0.20545296771266763,
      0.20316000798804212,
      0.20089382105610212,
      0.19865408090402464,
      0.1964404660674022,
      0.19425265971919495,
      0.19209034950263537,
      0.18995326666590662,
      0.18784134838967265,
      0.1857545500029978,
      0.1836927256021324,
      0.18165563774419227,
      0.17964302578282212,
      0.1776546335930738,
      0.17569019938994668,
      0.1737494530173339,
      0.1718321195332284,
      0.16993792194482324,
      0.16806658284353776,
      0.16621782563975052,
      0.16439137545258095,
      0.16258695959565758,
      0.16080430801620615,
      0.1590431536069042,
      0.15730323221369003,
      0.15558428292509519,
      0.15388604800790073,
      0.15220827287106017,
      0.15055070612093704,
      0.1489130995752299,
      0.14729520821622274,
      0.1456967901851954,
      0.1441176066273193,
      0.14255742179357878,
      0.14101600297396066,
      0.13949312045255846,
      0.13798854750404774,
      0.1365020602908909,
      0.13503343780148439,
      0.13358246187973855,
      0.13214891707301132,
      0.13073259069176085,
      0.12933327285275348,
      0.1279507562068857,
      0.1265848361011089,
      0.1252353105009861,
      0.1239019798965822,
      0.12258467903067606,
      0.12128329198823153,
      0.11999768743456675,
      0.11872771544720298,
      0.11747321404712588,
      0.11623401367828443,
      0.11500994019986985,
      0.11380081701356809,
      0.1126064665759923,
      0.1114267113272292,
      0.11026137449120699,
      0.10911028036880067,
      0.10797325478721116,
      0.10685012528050343,
      0.10574072110386173,
      0.1046448735783145,
      0.10356241599071137,
      0.102493183627862,
      0.10143701373483491,
      0.10039374540989936,
      0.09936321989421504,
      0.09834528038551402,
      0.09733977206213582,
      0.09634652701410885,
      0.09536532476116748,
      0.09439595333650413,
      0.09343822373786362,
      0.09249196346175798,
      0.09155701215005316,
      0.09063321826900621,
      0.08972043688426495,
      0.08881852824362571,
      0.08792735672905529,
      0.08704678115875193,
      0.08617661649185754,
      0.08531667569418834,
      0.084466793464253,
      0.08362682003140551,
      0.08279661710234593,
      0.08197605484377898,
      0.081165009610437,
      0.08036336269524094,
      0.07957099909200809,
      0.07878780684169717,
      0.07801367653000178,
      0.07724850080091596,
      0.07649217425651982,
      0.07574459302715335,
      0.07500565488132005,
      0.07427525176309566,
      0.0735532392386078,
      0.07283947008234752,
      0.07213381394664388,
      0.07143615269710908,
      0.07074637717396304,
      0.0700643849137002,
      0.069390078472041,
      0.0687233643358705,
      0.0680641520505233,
      0.06741235356851659,
      0.0667678828178623,
      0.06613065536662277,
      0.06550058828142231,
      0.06487759993752579,
      0.06426160983098957,
      0.06365253863643329,
      0.06305030801487772,
      0.06245484068626441,
      0.06186606023865043,
      0.061283891255713235,
      0.06070825915193849,
      0.06013909017990967,
      0.0595763114499102,
      0.0590198515857152,
      0.058469642833590595,
      0.05792561861480914,
      0.057387711909808896,
      0.05685585575890425,
      0.05632998325682248,
      0.05581002789437381,
      0.05529592358679984,
      0.054787604817823986,
      0.05428500666215591,
      0.053788064768580376,
      0.05329671557131305,
      0.05281089608120008,
      0.05233054397178923,
      0.05185559763284654,
      0.05138599609298787,
      0.05092167917407512,
      0.050462587279096215,
      0.05000866148505134,
      0.04955984354574849,
      0.049116075887938766,
      0.048677301485707196,
      0.04824346410618055,
      0.047814508096912046,
      0.04739037832813829,
      0.046971020420263354,
      0.04655638059878633,
      0.04614640570426749,
      0.04574104316022284,
      0.045340241006689645,
      0.0449439478375922,
      0.04455211281995072,
      0.04416468574062685,
      0.04378161690266119,
      0.04340285716053919,
      0.043028358014691334,
      0.04265807145424808,
      0.04229194998583106,
      0.04192994669327333,
      0.041572015175441374,
      0.0412181095399918,
      0.040868184459639884,
      0.040522195096944554,
      0.040180097110644755,
      0.03984184676239563,
      0.039507400780912555,
      0.03917671626934695,
      0.03884975079857105,
      0.03852646253728263,
      0.0382067939866614,
      0.037890669371343506,
      0.03757802122383398,
      0.0372687909695302,
      0.036962926646605825,
      0.03666038107462116,
      0.03636111062692567,
      0.03606507435425815,
      0.03577223340164642,
      0.03548255037625579,
      0.03519598915045025,
      0.034912514637800825,
      0.03463209252243719,
      0.03435468903888056,
      0.03408027116129286,
      0.03380880639809289,
      0.033540262674228584,
      0.03327460823452286,
      0.03301181186930863,
      0.03275184269685751,
      0.03249467019525353,
      0.03224026414978069,
      0.03198859478280532,
      0.031739632589564026,
      0.03149334837852018,
      0.031249713386193083,
      0.03100869902456248,
      0.030770277125439605,
      0.030534419677581342,
      0.030301099076410584,
      0.030070288044537107,
      0.02984195956332428,
      0.029616086910077652,
      0.02939264366795504,
      0.029171603597065575,
      0.028952940884844444,
      0.02873662995271405,
      0.028522645537238104,
      0.028310962556130078,
      0.028101556283617667,
      0.02789440221537367,
      0.02768947607442186,
      0.02748675389736086,
      0.027286211940331567,
      0.02708782675468026,
      0.026891575155644446,
      0.026697434109084234,
      0.02650538094029184,
      0.026315393286593457,
      0.026127448882249486,
      0.025941525729173177,
      0.02575760196603864,
      0.02557565619615038,
      0.025395667094991883,
      0.02521761360028427,
      0.02504147487394557,
      0.024867230395375535,
      0.02469485977292796,
      0.024524342737041762,
      0.024355659394906064,
      0.024188790066525943,
      0.024023715191671388,
      0.023860415421781078,
      0.023698871731884338,
      0.023539065263224405,
      0.023380977287520935,
      0.023224589295836585,
      0.023069883034106984,
      0.02291684036148775,
      0.02276544340847983,
      0.02261567447491252
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786086754509368,
      10.569555928615062,
      10.344253123822453,
      10.112837303594713,
      9.877689321198808,
      9.640879663799597,
      9.404237176564124,
      9.169334464668303,
      8.937521507569391,
      8.709908028728325,
      8.487354843485937,
      8.270473379522265,
      8.059633610394327,
      7.854983397532658,
      7.656476629053181,
      7.4639074171875235,
      7.276942952276696,
      7.0951574136093205,
      6.91806540839941,
      6.745150738247942,
      6.575890554120339,
      6.409774442683134,
      6.246322409667914,
      6.0850987462913775,
      5.925718288574216,
      5.767855772573376,
      5.61125633683568,
      5.45573285902513,
      5.301168280440039,
      5.147520404929291,
      4.994812014782033,
      4.843135176425174,
      4.6926404335000225,
      4.543537468837515,
      4.396096036078307,
      4.250635829006673,
      4.107514940932573,
      3.967117316212442,
      3.829842333286207,
      3.6961004086950635,
      3.5662938388800223,
      3.4407923326236496,
      3.3199234244322793,
      3.2039659970286514,
      3.0931459416767666,
      2.987634554307946,
      2.887553527271339,
      2.7929727649369527,
      2.703903490355521,
      2.6203097100408552,
      2.542111828058664,
      2.469174021974509,
      2.4013025007957043,
      2.3382466485942475,
      2.279721281654767,
      2.2254128131360082,
      2.1749748644516704,
      2.12802093044307,
      2.084141076496738,
      2.0429574041605054,
      2.004111669213288,
      1.9672517035652777,
      1.9320904567941213,
      1.8984040893009986,
      1.8660162547266514,
      1.8347847853603234,
      1.8045934167496367,
      1.7753413429985225,
      1.746946652544284,
      1.719342109387682,
      1.692469738279151,
      1.6662831143624863,
      1.640743540955955,
      1.6158175755286772,
      1.591475829618322,
      1.5676920888084236,
      1.5444426642175375,
      1.5217059109163966,
      1.499461869259786,
      1.4776919943616853,
      1.4563789511110392,
      1.4355064550914765,
      1.4150591493823874,
      1.3950225063814035,
      1.3753827481038783,
      1.3561272269054971,
      1.3372439718548406,
      1.318721324735592,
      1.3005481094279663,
      1.2827136132196566,
      1.2652075677826256,
      1.2480201299261398,
      1.2311418624757513,
      1.2145637158181413,
      1.1982771698882129,
      1.1822745143373181,
      1.166548283307055,
      1.151091155006785,
      1.1358959881342314,
      1.1209563015146027,
      1.1062666549472826,
      1.0918216248067205,
      1.0776156408449482,
      1.0636430929599936,
      1.049898403489108,
      1.036376075399837,
      1.0230707239726882,
      1.0099770971048754,
      0.9970900869576683,
      0.984404735805338,
      0.9719162388310474,
      0.9596199434504529,
      0.9475113469744237,
      0.9355860934976258,
      0.9238399698268568,
      0.9122689004605573,
      0.9008693560250007,
      0.8896382130728762,
      0.8785722660540474,
      0.8676682742064558,
      0.8569230034177436,
      0.8463332545191311,
      0.8358958809135273,
      0.8256078002472818,
      0.8154661542558829,
      0.8054688872237792,
      0.7956140409770889,
      0.7858994239007071,
      0.7763227075665576,
      0.7668812005110399,
      0.7575716939563062,
      0.7483910999338576,
      0.7393365257935827,
      0.7304052800671258,
      0.7215948336140692,
      0.7129027882212396,
      0.7043268541460577,
      0.6958648335911743,
      0.6875146089698069,
      0.6792743559047519,
      0.671143245382218,
      0.6631204705038624,
      0.6552048982986459,
      0.6473951850181006,
      0.6396898545013345,
      0.6320873521716759,
      0.6245860822361878,
      0.6171844327351614,
      0.6098807926239789,
      0.6026735632639344,
      0.5955611657931333,
      0.5885420463952318,
      0.5816146790854342,
      0.5747775675096048,
      0.568029245668965,
      0.5613682782704907,
      0.5547932607635997,
      0.5483028192509736,
      0.5418956093649945,
      0.5355703159225311,
      0.5293256524209696,
      0.5231603602311524,
      0.5170732076937552,
      0.511062989302166,
      0.5051285253825081,
      0.49926866079987153,
      0.4934822645757743,
      0.4877682294292569,
      0.4821254708124754,
      0.4765529264868279,
      0.4710495554209468,
      0.46561433751393594,
      0.46024627315417116,
      0.45494438256660963,
      0.44970770510258035,
      0.4445352988050969,
      0.43942623997202496,
      0.4343796226168027,
      0.4293945579825547,
      0.42447017410991544,
      0.41960561528315954,
      0.4148000417119373,
      0.4100526291699162,
      0.405362568542167,
      0.40072906535796404,
      0.3961513396159923,
      0.3916286251908896,
      0.38716016961062083,
      0.38274523385001225,
      0.37838309163284295,
      0.37407302941298964,
      0.3698143460183922,
      0.3656063523154807,
      0.3614483291102583,
      0.3573393609727033,
      0.35327853016013494,
      0.3492650168375859,
      0.3452980723427427,
      0.34137700053770365,
      0.33750114489757066,
      0.33366987921785474,
      0.3298826012218052,
      0.32613872796393334,
      0.32243769258269506,
      0.31877894194604006,
      0.3151619349408223,
      0.31158614122284645,
      0.30805104028403085,
      0.3045561208730045,
      0.3011008803092262,
      0.2976848242618725,
      0.2943074663196426,
      0.2909683275922359,
      0.2876669366733586,
      0.2844029382563077,
      0.28117618940251715,
      0.27798649399894576,
      0.2748335777197546,
      0.2717171133677587,
      0.2686367387242622,
      0.2655920689200399,
      0.2625827714818264,
      0.2596085902059854,
      0.2566692650315702,
      0.2537645459598864,
      0.25089414927309184,
      0.2480577517501539,
      0.24525500186368332,
      0.24248552991263359,
      0.23974895526186604,
      0.2370448912500139,
      0.23437294881540882,
      0.23173273613282175,
      0.2291238128788596,
      0.22654572021215966,
      0.2239980273418462,
      0.22148032450433527,
      0.21899221806154923,
      0.2165333272407132,
      0.21410328161288378,
      0.21170171941588667,
      0.20932828637205794,
      0.20698263483111176,
      0.2046644231210948,
      0.20237331509193385,
      0.20010897971087385,
      0.19787109079711107,
      0.19565932688233637,
      0.19347337103156106,
      0.19131292027490085,
      0.1891778662025792,
      0.18706818643491074,
      0.18498376814292156,
      0.18292441431092943,
      0.18088985682638684,
      0.1788798267464456,
      0.1768940538486957,
      0.17493226079993462,
      0.17299416664178804,
      0.17107948889593294,
      0.16918794518806293,
      0.1673192544098749,
      0.16547313741066627,
      0.1636493175141751,
      0.16184752088849724,
      0.1600674766363612,
      0.15830891695692925,
      0.15657157732838406,
      0.15485519654058863,
      0.15315951652716278,
      0.15148428260736138,
      0.14982924326689367,
      0.1481941503679849,
      0.1465787587966441,
      0.14498282653907224,
      0.1434061148306422,
      0.1418483880157819,
      0.14030941332844324,
      0.13878896112645142,
      0.1372868046331571,
      0.13580271995487556,
      0.13433648613278967,
      0.1328878849816287,
      0.13145670105122426,
      0.1300427217496455,
      0.128645737138058,
      0.12726553989338632,
      0.12590192544448187,
      0.12455469757212569,
      0.123223717657334,
      0.12190886573462763,
      0.12060999818772554,
      0.11932695594599885,
      0.11805956985543918,
      0.11680766461609617,
      0.11557106152412892,
      0.1143495800670913,
      0.11314303930747206,
      0.11195125869728059,
      0.1107740586893741,
      0.10961126109081586,
      0.10846268928683298,
      0.10732816852717376,
      0.10620752593856148,
      0.10510059067107295,
      0.10400719383476756,
      0.10292716867871365,
      0.10186035039549922,
      0.10080657626356854,
      0.09976568552923366,
      0.09873751947409842,
      0.09772192130499924,
      0.09671873628599269,
      0.0957277901823999,
      0.09474885999971339,
      0.09378173701051154,
      0.09282623450063292,
      0.0918821816181902,
      0.09094941903252465,
      0.09002779598614731,
      0.08911716819968589,
      0.08821739641244879,
      0.08732834543179525,
      0.08644987427108394,
      0.08558179837052411,
      0.08472393101276654,
      0.08387610707543179,
      0.08303817707172106,
      0.08221000279560231,
      0.08139145449874474,
      0.08058240868541335,
      0.07978274676150342,
      0.07899235390247002,
      0.07821111819336785,
      0.07743893026643675,
      0.07667568283389917,
      0.07592127058795073,
      0.0751755897773344,
      0.07443853815556713,
      0.07371001355834797,
      0.07298988020633622,
      0.07227798677146571,
      0.07157420005099813,
      0.07087839987661898,
      0.07019047577234257,
      0.06951032431467918,
      0.06883784741705239,
      0.0681729511147601,
      0.06751554457292411,
      0.06686553951331252,
      0.06622284974651527,
      0.06558739084234619,
      0.06495907982930083,
      0.06433783504905155,
      0.06372357608912733,
      0.06311622363102382,
      0.06251569944267234,
      0.06192192620312235,
      0.061334827562748356,
      0.06075432813741519,
      0.060180353375642974,
      0.059612829607108876,
      0.05905168405953156,
      0.058496845053600116,
      0.05794824463541853,
      0.05740581642084398,
      0.056869493636983924,
      0.05633920942016215,
      0.05581489697631136,
      0.05529648986574714,
      0.05478392223183991,
      0.05427712867276467,
      0.05377604433099717,
      0.05328060488318679,
      0.05279074680545099,
      0.0523064072633671,
      0.051827524084119225,
      0.05135403561651082,
      0.05088588099713566,
      0.05042300008849322,
      0.04996533338503327,
      0.04951282185492337,
      0.04906540743553744,
      0.04862303261968573,
      0.04818564048956778,
      0.04775317483228056,
      0.04732558003860946,
      0.04690280112181634,
      0.04648478375165819,
      0.046071474173118125,
      0.04566281932437844,
      0.045258766722506054,
      0.04485926437970622,
      0.04446426089960676,
      0.044073705595089184,
      0.04368754831593376,
      0.043305739390049475,
      0.042928229789198864,
      0.04255497101417951,
      0.042185915185311264,
      0.04182101495750635,
      0.041460223421486225,
      0.04110349417187303,
      0.04075078143141828,
      0.040402039923225164,
      0.040057224907046274,
      0.039716292112750816,
      0.03937919772024306,
      0.03904589845531213,
      0.03871635157969728,
      0.0383905148038409,
      0.038068346197773835,
      0.03774980411683331,
      0.03743482482042733,
      0.03712333285107907,
      0.036815264048925836,
      0.03651056244306634,
      0.03620917794651931,
      0.035911064904149095,
      0.03561618092842723,
      0.035324486021353324,
      0.03503594214460032,
      0.03475051260010532,
      0.034468161966112486,
      0.0341888555992892,
      0.03391255974423409,
      0.03363924127730054,
      0.033368867519938894,
      0.0331014064035287,
      0.03283682623571042,
      0.0325750958022472,
      0.03231618424807005,
      0.03206006104887011,
      0.03180669614930419,
      0.03155605980392208,
      0.0313081225149802,
      0.0310628551714619,
      0.030820228941361587,
      0.030580215381657328,
      0.030342786307697232,
      0.03010791381989442,
      0.029875570372424748,
      0.029645728783135133,
      0.029418362085793508,
      0.02919344357405079,
      0.028970946868556655,
      0.028750845851846524,
      0.02853311469330185,
      0.0283177279134502,
      0.02810466024270216,
      0.02789388667517623,
      0.027685382517082576,
      0.027479123328050505,
      0.027275084889182084,
      0.02707324328301637,
      0.0268735748315529,
      0.026676056162781483,
      0.026480664134771542,
      0.026287375757949982,
      0.026096168394398822,
      0.02590701965627389,
      0.02571990732782154,
      0.025534809424570835,
      0.02535170424393449,
      0.02517057041069082,
      0.0249913866975949,
      0.024814132098297217,
      0.02463878582116867,
      0.024465327293791923,
      0.024293736187229773,
      0.024123992406327024,
      0.02395607608100933,
      0.023789967472415782,
      0.02362564711503113,
      0.023463095772203426,
      0.023302294379761897,
      0.0231432241048659,
      0.02298586626907365,
      0.022830202497802952,
      0.02267621445727771,
      0.022523884116831646,
      0.022373193652573082,
      0.022224125425381238
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.78608106145517,
      10.56952972179185,
      10.344195368412818,
      10.11274102201695,
      9.877550307477442,
      9.640695502557621,
      9.404007140479452,
      9.169058913342663,
      8.937201582917453,
      8.709545422694845,
      8.486951400299606,
      8.270030887215952,
      8.059153670848158,
      7.854467335477804,
      7.655925444133017,
      7.463321772264055,
      7.276323090511437,
      7.094503272015167,
      6.917376733699235,
      6.744427158392067,
      6.575131730037983,
      6.408980100857952,
      6.245492380681324,
      6.084232917120076,
      5.924816574949055,
      5.766918537552418,
      5.61028451652724,
      5.454727940723021,
      5.300132289418704,
      5.146456001306569,
      4.993722593311689,
      4.842024574993099,
      4.691512865194156,
      4.54239762874425,
      4.394949036755661,
      4.249487113698235,
      4.106370178900859,
      3.965982285239399,
      3.8287229613742912,
      3.695002912157171,
      3.5652241415156802,
      3.43975582018466,
      3.318924859987822,
      3.2030094578548836,
      3.0922347804536665,
      2.986771372384919,
      2.886740187004159,
      2.7922102880524613,
      2.7031919662257073,
      2.6196486818604368,
      2.5415000038551128,
      2.4686089632682013,
      2.4007804260713983,
      2.33776295468305,
      2.2792709800451716,
      2.224990860496245,
      2.174575914891097,
      2.127639292564655,
      2.0837711578564435,
      2.042594436197198,
      2.0037509748251257,
      1.966889392232797,
      1.9317236010007957,
      1.898030533581395,
      1.8656344242770677,
      1.8343935443141122,
      1.8041918771421994,
      1.774928876958706,
      1.746522872772414,
      1.7189068479036744,
      1.6920228762350649,
      1.6658244808402998,
      1.6402730834263939,
      1.6153353245113724,
      1.590981874095906,
      1.567186558160307,
      1.5439257146092193,
      1.5211777161558497,
      1.4989226137864002,
      1.4771418689281315,
      1.455818148765878,
      1.4349351690866214,
      1.4144775711193311,
      1.394430824458812,
      1.374781148055139,
      1.3555159591693167,
      1.3366233487741637,
      1.3180916129475393,
      1.2999095419995754,
      1.2820663980608713,
      1.2645518939125655,
      1.2473561720475603,
      1.2304697838560352,
      1.2138836703889897,
      1.1975893591134816,
      1.181579140969938,
      1.1658455264140315,
      1.1503811758768616,
      1.1351789344155914,
      1.1202323557735145,
      1.1055360081302854,
      1.0910844437503735,
      1.0768720751522554,
      1.0628932794305366,
      1.049142468972467,
      1.0356141389377371,
      1.0223028989945928,
      1.0092034923554745,
      0.9963108073775446,
      0.9836198831611606,
      0.9711259121460564,
      0.9588242395405654,
      0.9467103608349363,
      0.9347799183882887,
      0.9230286970039447,
      0.9114527206863908,
      0.9000486315408954,
      0.8888132283204462,
      0.8777432401593833,
      0.8668353806804018,
      0.8560863839569106,
      0.8454930281568602,
      0.8350521508290315,
      0.8247606585533412,
      0.8146158122014128,
      0.8046156647991138,
      0.7947581758381147,
      0.7850410970708783,
      0.7754620604828749,
      0.7660183322247037,
      0.7567066826393662,
      0.7475240135341183,
      0.7384674261708002,
      0.729534225732807,
      0.7207218806502086,
      0.7120279911616797,
      0.7034502660083992,
      0.6949865062810291,
      0.6866345933203585,
      0.678392950491113,
      0.6702608618855423,
      0.6622374032961266,
      0.6543213609203847,
      0.6465113346978519,
      0.6388058093799835,
      0.6312032033168978,
      0.6237019018039618,
      0.616300279599839,
      0.608996716383536,
      0.6017896070398218,
      0.5946773682906162,
      0.5876584430781504,
      0.5807313030036971,
      0.5738944499589698,
      0.567146416686474,
      0.5604857671955296,
      0.5539110963322869,
      0.5474210294026186,
      0.5410142215489254,
      0.5346893573457518,
      0.5284451497551659,
      0.5222803396938374,
      0.5161936951984935,
      0.5101840105770094,
      0.5042501054965952,
      0.49839082462406975,
      0.4926050368052412,
      0.4868916344982397,
      0.4812495328795878,
      0.4756776690836304,
      0.4701750019079975,
      0.46474051122586346,
      0.4593731969043304,
      0.4540720787810525,
      0.4488361958980657,
      0.4436646059848093,
      0.43855638514302214,
      0.4335106269978741,
      0.42852644235892756,
      0.4236029590116313,
      0.41873932098040617,
      0.4139346881546377,
      0.40918823602451043,
      0.40449915504549533,
      0.39986665052227605,
      0.3952899420733266,
      0.390768263236319,
      0.38630086119003926,
      0.381886996517885,
      0.3775259427596628,
      0.37321698603269887,
      0.3689594246462968,
      0.3647525692698705,
      0.36059566104887086,
      0.3564877484802532,
      0.3524279375293961,
      0.3484154246741717,
      0.3444494725482434,
      0.3405293928828121,
      0.3366545344610973,
      0.33282427475836796,
      0.3290380140816916,
      0.3252951710064336,
      0.32159517962830764,
      0.3179374874644884,
      0.3143215537179473,
      0.3107468482046111,
      0.30721285043196495,
      0.30371904895391505,
      0.3002649410638887,
      0.2968500321775138,
      0.2934738356032441,
      0.29013587224233406,
      0.2868356704223417,
      0.2835729264504549,
      0.28034750359788,
      0.2771591871546576,
      0.27400768967507705,
      0.2708926746912991,
      0.26781377338188284,
      0.2647706047746236,
      0.2617628781172443,
      0.25879033299356013,
      0.25585271041583785,
      0.25294975371982126,
      0.25008116421689935,
      0.24724660608642485,
      0.24444571873130375,
      0.24167812607357742,
      0.23894344290337424,
      0.23624127943748466,
      0.23357124433418608,
      0.23093293571111762,
      0.2283258998764805,
      0.22574968347986857,
      0.2232038595865939,
      0.22068802101372426,
      0.2182017758057563,
      0.21574474442466193,
      0.21331655714296846,
      0.21091685266092774,
      0.20854527703919987,
      0.20620148280394998,
      0.20388512827163607,
      0.20159587723170772,
      0.19933339864243924,
      0.19709736623734392,
      0.19488745832084312,
      0.19270335785447065,
      0.19054489731957247,
      0.18841205576378617,
      0.1863047385336181,
      0.18422278291892216,
      0.18216595550571663,
      0.18013397651257732,
      0.17812656437662575,
      0.17614343276413333,
      0.17418429312271297,
      0.17224885663427617,
      0.17033683533503347,
      0.1684479430561597,
      0.16658189597869744,
      0.16473841309783124,
      0.16291721642012463,
      0.161118031066764,
      0.15934058560092676,
      0.15758461179221844,
      0.15584984479717084,
      0.15413602313886612,
      0.15244288868383007,
      0.15077018662209746,
      0.14911766543775198,
      0.14748507678759637,
      0.14587217560512855,
      0.1442787199792522,
      0.14270447104860975,
      0.1411491930643605,
      0.13961265334770837,
      0.1380946221614954,
      0.1365948727752858,
      0.13511318140001397,
      0.13364932705530025,
      0.13220309157292287,
      0.13077425955166394,
      0.12936261837832846,
      0.12796795814954867,
      0.12659007161479016,
      0.12522877884392458,
      0.12388395798875344,
      0.12255547518118176,
      0.12124317648884637,
      0.11994689488592628,
      0.11866645516815451,
      0.11740167705998542,
      0.11615237758230623,
      0.11491837266367805,
      0.11369947825039457,
      0.11249551091891603,
      0.11130628836250354,
      0.11013162992549734,
      0.10897135666583174,
      0.1078252915439554,
      0.10669325945264937,
      0.10557508740011404,
      0.10447060437504035,
      0.10337964148638949,
      0.10230203193836042,
      0.10123761099368876,
      0.10018621597584068,
      0.09914768624669638,
      0.09812186319124282,
      0.09710859013956788,
      0.09610771240372955,
      0.09511904877592262,
      0.09414237571927081,
      0.09317748723497236,
      0.09222419856241047,
      0.0912823402263361,
      0.09035175394279074,
      0.08943228975743546,
      0.08852380395369794,
      0.0876261576715432,
      0.08673921589453995,
      0.08586283846622776,
      0.0849968417674176,
      0.08414103896423011,
      0.08329526498498886,
      0.08245937036030815,
      0.08163321696036581,
      0.08081667510226127,
      0.08000962139578838,
      0.07921193727825251,
      0.07842350793331333,
      0.07764422164403327,
      0.07687396903044065,
      0.07611264298927681,
      0.07536013818739198,
      0.07461635092122654,
      0.07388117901122977,
      0.07315452169518381,
      0.07243625456986147,
      0.07172622678099828,
      0.07102430150024255,
      0.07033035596328154,
      0.0696442777835714,
      0.068965962324189,
      0.06829531069097747,
      0.06763222823782873,
      0.06697662374991659,
      0.06632840868762879,
      0.06568749665091805,
      0.0650538030201732,
      0.06442724483306986,
      0.06380774043542689,
      0.0631952093341325,
      0.06258957228382024,
      0.061990751088424396,
      0.061398668445097074,
      0.06081324815403918,
      0.06023441490629431,
      0.05966209424979483,
      0.0590962125396631,
      0.05853669700596103,
      0.057983475786613066,
      0.057436480533149765,
      0.056895645109471954,
      0.0563609030552883,
      0.05583218761793871,
      0.055309432123232444,
      0.05479257032744323,
      0.05428153638277743,
      0.05377626489345504,
      0.0532766911166011,
      0.052782750955664225,
      0.05229438094036222,
      0.05181151821856706,
      0.05133410068427302,
      0.050862066780532365,
      0.050395355727736624,
      0.04993390739538102,
      0.049477662319330526,
      0.049026561769524656,
      0.048580547623218555,
      0.04813956237090877,
      0.047703549185125156,
      0.04727245188675166,
      0.04684621496814151,
      0.04642478349755261,
      0.04600810320751829,
      0.04559612045195278,
      0.04518878221023252,
      0.04478603599808933,
      0.044387829930389984,
      0.043994112747814534,
      0.04360483376649502,
      0.04321994292840358,
      0.04283939070797262,
      0.04246312805565059,
      0.042091106540573,
      0.04172327826015642,
      0.04135959596488541,
      0.04100001282946264,
      0.040644482524443346,
      0.04029295933749958,
      0.039945398023645426,
      0.03960175387669055,
      0.039261982713616736,
      0.03892604083571256,
      0.03859388499468883,
      0.03826547247171972,
      0.03794076107290617,
      0.03761970892619259,
      0.03730227480121432,
      0.03698841443550476,
      0.03667806040364887,
      0.03637114056733734,
      0.036067593225784914,
      0.03576736429413102,
      0.03547040527298975,
      0.035176671618172756,
      0.034886121835051374,
      0.034598716829865345,
      0.034314419314696094,
      0.034033193296013946,
      0.03375500379393424,
      0.033479816775571665,
      0.03320759892641009,
      0.03293831760592336,
      0.03267194059262943,
      0.03240843617757543,
      0.03214777320571171,
      0.0318899208012162,
      0.031634848504530313,
      0.03138252621330926,
      0.03113292420802691,
      0.030886013067314925,
      0.030641763781898042,
      0.03040014754888386,
      0.030161135954685184,
      0.029924700876549377,
      0.029690814522031546,
      0.029459449418775527,
      0.02923057827507055,
      0.029004174216661873,
      0.028780210659150325,
      0.0285586612960818,
      0.028339500104268826,
      0.028122701295815972,
      0.027908239398462115,
      0.02769608914304495,
      0.027486225685854567,
      0.027278624330067346,
      0.027073260635631573,
      0.026870110524039655,
      0.026669150021601223,
      0.026470355493458345,
      0.02627370363662525,
      0.026079171414123106,
      0.025886735907598237,
      0.02569637452964078,
      0.025508064970347244,
      0.025321785093791734,
      0.025137512943657472,
      0.024955226886325173,
      0.02477490553226891,
      0.024596527690575156,
      0.024420072355722584,
      0.024245518819324956,
      0.02407284657305623,
      0.02390203536825886,
      0.023733065076096134,
      0.023565915891802673,
      0.023400568088460468,
      0.02323700232136501,
      0.023075199367545297,
      0.022915140263819418,
      0.02275680615270232,
      0.022600178408928532,
      0.022445238677826745,
      0.02229196878729954,
      0.022140350718084647,
      0.021990366685718306,
      0.02184199902301894
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786075383049408,
      10.569503583307894,
      10.34413777265143,
      10.112645024935308,
      9.877411730904381,
      9.640511951430717,
      9.403777901643501,
      9.168784358609344,
      8.936882833067322,
      8.709184147341896,
      8.486549452771266,
      8.2695900641517,
      8.058675580524383,
      7.853953308685475,
      7.655376486004915,
      7.462738520169224,
      7.27570576621547,
      7.093851825997378,
      6.916690925848462,
      6.743706628355913,
      6.574376116395875,
      6.408189147430977,
      6.24466593277212,
      6.08337087524237,
      5.923918867105781,
      5.765985536805487,
      5.609317168481418,
      5.4537277395511765,
      5.299101265344643,
      5.1453968161852695,
      4.992638641710391,
      4.840919692245695,
      4.690391260682807,
      4.541263990297327,
      4.393808464665529,
      4.24834503538335,
      4.105232244697824,
      3.9648542494725763,
      3.8276107262359664,
      3.693912663949838,
      3.564161771672531,
      3.438726681583996,
      3.317933683320993,
      3.2020602896499994,
      3.0913309438738996,
      2.9859154417370837,
      2.885934000341987,
      2.791454845423038,
      2.702487337537692,
      2.6189943936878133,
      2.540894592821032,
      2.468050003755028,
      2.4002641540679277,
      2.337284788299605,
      2.278825955078723,
      2.224573916313623,
      2.174181704831098,
      2.1272621652880814,
      2.0834055612183118,
      2.042235638112213,
      2.003394335606443,
      1.9665310536616825,
      1.9313606610619918,
      1.8976608571343498,
      1.865256451529895,
      1.8340061512922403,
      1.8037941859679054,
      1.7745202673554568,
      1.7461029635405192,
      1.718475476060802,
      1.6915799263094093,
      1.6653697845755489,
      1.6398065903355323,
      1.6148570667349864,
      1.5904919419136623,
      1.566685081921211,
      1.5434128513213756,
      1.5206536403402835,
      1.4983875107688998,
      1.476595929807093,
      1.4552615672577531,
      1.434368138516249,
      1.4139002831781187,
      1.3938434680475997,
      1.3741839087151544,
      1.3549090760136957,
      1.336007129074576,
      1.3174663287900341,
      1.2992754303164507,
      1.2814236697063117,
      1.2639007400825029,
      1.246696768753194,
      1.229802295618565,
      1.2132082525941716,
      1.1969062136590876,
      1.180888470938181,
      1.1651475109433627,
      1.1496759763235858,
      1.1344666988465333,
      1.1195132665072283,
      1.104810255401183,
      1.0903521942850214,
      1.0761334783829806,
      1.0621484718734189,
      1.0483915774860744,
      1.0348572829152007,
      1.0215401916934168,
      1.008435042434238,
      0.9955367195713589,
      0.9828402591136747,
      0.9703408512456683,
      0.9580338386923661,
      0.9459147147450663,
      0.9339791197997338,
      0.9222228371380058,
      0.9106420641803726,
      0.8992335269244188,
      0.887993939384517,
      0.8769199715572148,
      0.8660082959145297,
      0.8552556178327656,
      0.8446586950000362,
      0.83421435056952,
      0.8239194807399732,
      0.8137715355158252,
      0.8037685844800734,
      0.7939085131290101,
      0.784189021606378,
      0.7746077059805552,
      0.7651617934600979,
      0.7558480352095611,
      0.7466633235624834,
      0.7376047542584085,
      0.7286696295654667,
      0.7198554158623515,
      0.7111597116037205,
      0.702580224360226,
      0.6941147541988527,
      0.6857611816011551,
      0.6775182363436634,
      0.6693852364524037,
      0.6613611469105705,
      0.6534446773383051,
      0.6456343746449753,
      0.6379286864578376,
      0.6303260051367507,
      0.6228246980340063,
      0.6154231275602499,
      0.6081196645616251,
      0.6009126977824543,
      0.5938006397077028,
      0.5867819301626545,
      0.5798550386842455,
      0.5730184656050495,
      0.566270742322209,
      0.559610431829988,
      0.5530361282545125,
      0.546546456391739,
      0.5401400710765474,
      0.5338156561860689,
      0.5275719243251047,
      0.5214076162586806,
      0.51532149961343,
      0.5093123681998158,
      0.5033790415258962,
      0.4975203641010434,
      0.4917352045839319,
      0.4860224548030187,
      0.4803810296447795,
      0.47480986593041746,
      0.46930792216672834,
      0.46387417762160177,
      0.4585076321265186,
      0.45320730525980446,
      0.44797223575281464,
      0.44280148109529127,
      0.43769411701168465,
      0.4326492366828704,
      0.4276659507068421,
      0.4227433864022172,
      0.4178806874729711,
      0.4130770135273152,
      0.4083315396820605,
      0.4036434561253395,
      0.39901196771643793,
      0.394436293826685,
      0.3899156677116386,
      0.3854493361776562,
      0.3810365595700492,
      0.3766766110662347,
      0.37236877649595435,
      0.36811235395148767,
      0.36390665362125385,
      0.35975085613788993,
      0.35564400265740076,
      0.35158522029711936,
      0.34757372028319444,
      0.3436087752980814,
      0.3396897041735612,
      0.33581586047887263,
      0.3319866249775469,
      0.32820140001837744,
      0.32445960575289334,
      0.32076067723841506,
      0.31710406253147166,
      0.3134892210534437,
      0.30991562275858603,
      0.30638274708375823,
      0.30289008246625293,
      0.2994371260220778,
      0.2960233828240903,
      0.2926483659366192,
      0.2893115959346999,
      0.28601260290924896,
      0.2827511337015547,
      0.27952705551774637,
      0.2763401355681188,
      0.2731900735831058,
      0.270076523989073,
      0.26699911154926137,
      0.2639574759799905,
      0.26095135994124635,
      0.2579804910892719,
      0.2550446115723027,
      0.2521434499818356,
      0.24927669333867516,
      0.2464439951220135,
      0.24364498722637654,
      0.24087928831155808,
      0.23814650940520815,
      0.23544625798771252,
      0.23277814065166502,
      0.23014174344027077,
      0.22753660283848984,
      0.22496227096878813,
      0.22241832446931586,
      0.2199043585689019,
      0.21741998307949614,
      0.21496481950272667,
      0.21253849893467164,
      0.210140660557582,
      0.2077709506370518,
      0.20542902183027317,
      0.20311453256120493,
      0.2008271465881732,
      0.19856653273680988,
      0.1963323646447734,
      0.1941243205434651,
      0.1919421651630834,
      0.1897858688744348,
      0.187655358072547,
      0.18555048334269747,
      0.18347104390915692,
      0.18141678934373803,
      0.17938742671632424,
      0.17738265715159038,
      0.17540218213611897,
      0.17344570471225063,
      0.17151293013812852,
      0.16960356625919962,
      0.16771732405033826,
      0.16585391773271604,
      0.1640130648799499,
      0.16219448652656437,
      0.16039790713934735,
      0.15862305476987912,
      0.15686966084172937,
      0.15513746029063125,
      0.15342619144723613,
      0.15173559615903492,
      0.15006541952148322,
      0.14841540997496502,
      0.14678531916343263,
      0.1451749019361617,
      0.14358391637806608,
      0.14201212374178038,
      0.14045928826847204,
      0.1389251772912103,
      0.13740956100419888,
      0.1359122126483277,
      0.1344329084702922,
      0.13297142739248718,
      0.1315275513846293,
      0.13010106504970295,
      0.12869175579104197,
      0.12729941372091835,
      0.12592388562254703,
      0.1245650510728798,
      0.123222763858012,
      0.12189686078244479,
      0.12058716765090599,
      0.1192935034508809,
      0.11801568326017443,
      0.11675352018415501,
      0.11550682666019006,
      0.11427541548523497,
      0.11305910037881396,
      0.11185769647210755,
      0.11067102058510893,
      0.10949889134369556,
      0.10834112949352506,
      0.10719755769950208,
      0.10606800065058741,
      0.1049522852859971,
      0.10385024067927824,
      0.10276169793607863,
      0.10168649022000359,
      0.10062445286160242,
      0.09957542327797202,
      0.09853924088061153,
      0.0975157471874204,
      0.09650478564940015,
      0.09550620163695818,
      0.09451980769832151,
      0.09354537990731022,
      0.092582714806964,
      0.0916316294379863,
      0.09069195558982655,
      0.08976353581958414,
      0.0888462208350823,
      0.08793986741174964,
      0.08704433698147919,
      0.08615949486867629,
      0.0852852020133145,
      0.08442127641186706,
      0.08356753098823134,
      0.08272380039264939,
      0.08188993503738679,
      0.08106579674449006,
      0.08025125575098009,
      0.07944618868781096,
      0.0786504770127674,
      0.07786400599304272,
      0.07708666385799812,
      0.07631834136732979,
      0.07555893144573358,
      0.07480832874953346,
      0.074066429764783,
      0.07333313237751779,
      0.07260833589481373,
      0.07189192859964556,
      0.07118376151772025,
      0.07048369360338738,
      0.06979159925468227,
      0.06910736414195594,
      0.06843088217129474,
      0.06776205338618692,
      0.06710078247173615,
      0.06644697782377648,
      0.06580055054647756,
      0.06516141404871342,
      0.06452948361422403,
      0.06390467619536044,
      0.06328691013340534,
      0.06267610499887759,
      0.062072181522270745,
      0.061475061456107316,
      0.060884667606234566,
      0.06030092375882864,
      0.059723754633617995,
      0.05915308584047241,
      0.05858884384880842,
      0.05803095601453365,
      0.05747935049562445,
      0.05693395840951645,
      0.05639471376069138,
      0.055861550249153964,
      0.055334401306201174,
      0.05481320048820985,
      0.05429788157505034,
      0.05378837889180845,
      0.053284627165095015,
      0.05278656173720056,
      0.052294118511952314,
      0.051807234109749925,
      0.051325845792864894,
      0.05084989144100741,
      0.0503793096471199,
      0.04991403966607615,
      0.04945402140742069,
      0.048999195557904954,
      0.0485495034141669,
      0.04810488690881406,
      0.04766528866744076,
      0.04723065188705933,
      0.04680092045839263,
      0.04637603893818078,
      0.04595595248275894,
      0.04554060690152474,
      0.04512994856341654,
      0.04472392444566771,
      0.044322482171990904,
      0.04392556998651095,
      0.04353313664732434,
      0.0431451315608331,
      0.04276150464793298,
      0.0423822064221973,
      0.04200718796545517,
      0.04163640092777437,
      0.04126979748829812,
      0.040907330362643705,
      0.04054895279963519,
      0.04019461863102625,
      0.03984428214853004,
      0.03949789823377574,
      0.03915542219504137,
      0.03881680983758943,
      0.03848201755492706,
      0.03815100222526676,
      0.03782372119912254,
      0.037500132269360886,
      0.0371801937448333,
      0.036863864395564924,
      0.03655110342527931,
      0.03624186477121527,
      0.035936078470699254,
      0.03563367509942035,
      0.035334595094649035,
      0.035038785879014434,
      0.034746200125283094,
      0.0344567944932604,
      0.03417052845216424,
      0.03388736356875775,
      0.03360726318546004,
      0.033330191860234844,
      0.03305611514217894,
      0.03278499953223752,
      0.03251681221221326,
      0.03225152097686077,
      0.03198909402203473,
      0.03172950006508215,
      0.03147270837203927,
      0.031218688462377322,
      0.030967410314237685,
      0.030718844202273193,
      0.030472960769126176,
      0.030229731018548887,
      0.029989126256151306,
      0.029751118072327252,
      0.02951567837745153,
      0.029282779438113415,
      0.0290523938546006,
      0.02882449448524734,
      0.028599054477003866,
      0.028376047204862746,
      0.0281554464538476,
      0.027937226220889105,
      0.027721360772003684,
      0.0275078246561252,
      0.02729659274527576,
      0.027087640174401243,
      0.026880942288335184,
      0.026676474806236788,
      0.026474213646916343,
      0.026274134958469867,
      0.026076215196597367,
      0.025880431038785814,
      0.02568675944238942,
      0.025495177602073486,
      0.025305662984513658,
      0.02511819325917347,
      0.02493274640801884,
      0.02474930050237502,
      0.02456783393207521,
      0.024388325314188483,
      0.024210753555747196,
      0.02403509774233111,
      0.023861337189667257,
      0.023689451470759113,
      0.023519420367598735,
      0.02335122376007457,
      0.023184841855813328,
      0.023020255083735418,
      0.022857444071568266,
      0.02269638965571882,
      0.02253707290470656,
      0.02237947508317774,
      0.022223577591232238,
      0.022069362107680752,
      0.021916810461029147,
      0.021765904710883046,
      0.021616627099824426,
      0.021468960002942516
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786069719698984,
      10.569477515705994,
      10.34408034166938,
      10.112549319343792,
      9.877273599997135,
      9.64032902202838,
      9.403549476010873,
      9.168510819792491,
      8.93656530884609,
      8.708824312994068,
      8.486149165347754,
      8.269151121996236,
      8.05819959224277,
      7.853441605704036,
      7.654830075529362,
      7.462158020648378,
      7.275091385739432,
      7.093203523779378,
      6.916008470804574,
      6.74298967002441,
      6.573624301615094,
      6.407402227870836,
      6.2438437622712515,
      6.0825133625133825,
      5.923025945928406,
      5.765057586633367,
      5.608355140250917,
      5.452733131532017,
      5.298076109795023,
      5.144343774581166,
      4.9915611054142905,
      4.839821491025306,
      4.689276595584075,
      4.54013753592487,
      4.392675304845817,
      4.2472105771591675,
      4.104102114111476,
      3.9637341749262185,
      3.826506579329597,
      3.692830595689161,
      3.563107637049385,
      3.437705796810027,
      3.316950743790164,
      3.2011193078470113,
      3.09043521106033,
      2.985067503451266,
      2.8851356707792615,
      2.7907071034500963,
      2.7017902341650415,
      2.6183474406726828,
      2.5402963176558746,
      2.4674979759440343,
      2.3997546097060964,
      2.3368131498120808,
      2.278387265788646,
      2.224163126140505,
      2.173793479958923,
      2.126890862207301,
      2.083045640597659,
      2.041882386390417,
      2.003043134561325,
      1.9661780653526735,
      1.93100300062767,
      1.8972964031585384,
      1.8648836558789756,
      1.8336238993053502,
      1.803401608806395,
      1.7741167524299795,
      1.7456881356014733,
      1.7180491769254616,
      1.6911420443895888,
      1.6649201551248651,
      1.6393451659880016,
      1.6143838829091797,
      1.5900070911423523,
      1.5661886963305416,
      1.5429050900757866,
      1.5201346795212822,
      1.4978575370150284,
      1.4760551351726778,
      1.4547101459497318,
      1.43380628514945,
      1.413328190815342,
      1.3932613272914043,
      1.3735919100838312,
      1.3543074300473448,
      1.335396124377191,
      1.3168462519614061,
      1.2986465287021254,
      1.2807861614929155,
      1.2632548218889332,
      1.2460426207153068,
      1.2291400848295573,
      1.2125381363735848,
      1.1962283956567445,
      1.1802031553481005,
      1.164454877373878,
      1.148976186872115,
      1.1337599018782665,
      1.1187996448553266,
      1.1040899998766225,
      1.0896254722512644,
      1.0754004395611358,
      1.0614092528201775,
      1.047646304798692,
      1.034106075878626,
      1.020783163709049,
      1.0076723022491114,
      0.9947683723582659,
      0.9820664068952518,
      0.9695615928633946,
      0.9572492711018308,
      0.9451249327888412,
      0.9331842165432439,
      0.9214229342675591,
      0.9098374866334642,
      0.8984245928432831,
      0.8871808915182264,
      0.8761030004641507,
      0.8651875552695236,
      0.8544312352273644,
      0.8438307799370135,
      0.8333829996680159,
      0.8230847822985301,
      0.8129337667329319,
      0.802928038770101,
      0.7930654102761785,
      0.7833435302476305,
      0.7737599593427669,
      0.7643118867390097,
      0.7549960447214128,
      0.7458093160414857,
      0.7367487909602972,
      0.7278117685944174,
      0.7189957130082091,
      0.7102982208114621,
      0.7017169981123749,
      0.6932498441178284,
      0.684894763682412,
      0.6766507317571306,
      0.6685169740782659,
      0.6604923643253859,
      0.6525755485588693,
      0.6447650292347262,
      0.6370592234335098,
      0.629456502376627,
      0.6219552183340187,
      0.6145537232895507,
      0.6072503810071911,
      0.6000435752949901,
      0.5929317149600271,
      0.5859132373392223,
      0.5789866098162582,
      0.5721503312487566,
      0.5654029322254296,
      0.5587429750808871,
      0.5521690531677803,
      0.5456797906912232,
      0.539273841789951,
      0.5329498901419932,
      0.5267066482619722,
      0.520542856316783,
      0.514457281583252,
      0.508448717687006,
      0.5025159838048209,
      0.49665792401304304,
      0.49087340650520145,
      0.4851613229366397,
      0.4795205878999169,
      0.4739501380248592,
      0.4684489313931452,
      0.4630159471423692,
      0.4576501846522281,
      0.4523506631293076,
      0.44711642098229554,
      0.44194651519251515,
      0.43684002126796767,
      0.4317960321801898,
      0.4268136581167688,
      0.42189202616097987,
      0.4170302796719666,
      0.41222757784974645,
      0.40748309546133454,
      0.40279602252599517,
      0.3981655635037056,
      0.39359093743673185,
      0.3890713772150476,
      0.3846061294424251,
      0.38019445403821106,
      0.37583562378066765,
      0.37152892419896993,
      0.3672736531790996,
      0.36306911509708373,
      0.3589144332638555,
      0.3548086471711465,
      0.35075090395823033,
      0.3467404288579486,
      0.34277650428448986,
      0.3388584555127636,
      0.33498564083988264,
      0.3311574441327025,
      0.327373269876798,
      0.3236325395013612,
      0.3199346888915327,
      0.3162791664955664,
      0.3126654320079732,
      0.3090929554726954,
      0.305561216256519,
      0.3020697026921157,
      0.29861791172850793,
      0.2952053482066139,
      0.29183152487857744,
      0.28849596207660033,
      0.28519821621485664,
      0.28193807257662473,
      0.2787153775927688,
      0.2755298839638064,
      0.272381281178851,
      0.26926921641798873,
      0.26619330905756144,
      0.2631532436308221,
      0.2601487660055674,
      0.25717959748097374,
      0.25424548061465174,
      0.2513461298228245,
      0.24848121845242147,
      0.24565039039511827,
      0.2428532706953694,
      0.24008947311022824,
      0.23735860514478346,
      0.23466027179163926,
      0.231994077874234,
      0.22935959247559637,
      0.2267563491245401,
      0.22418390475251562,
      0.22164183928025613,
      0.2191297502891265,
      0.2166472491229276,
      0.21419395824088516,
      0.21176950939181086,
      0.20937354218374404,
      0.20700570311971028,
      0.20466564485494884,
      0.2023530258382796,
      0.20006750972586534,
      0.19780876524011556,
      0.19557646591302036,
      0.19337032917081218,
      0.19119028410513925,
      0.18903628203346942,
      0.18690818919548613,
      0.18480581437866825,
      0.18272893830582737,
      0.1806772956095105,
      0.17865057377936255,
      0.17664846100471854,
      0.17467064980984046,
      0.17271683685116995,
      0.17078672295430136,
      0.16888001301591624,
      0.1669964158468121,
      0.16513564411430032,
      0.16329741436539716,
      0.16148144686319163,
      0.15968746561202302,
      0.15791519825284436,
      0.1561643760391115,
      0.15443473371473895,
      0.15272600949104626,
      0.15103794504654688,
      0.14937028549856846,
      0.14772277919437074,
      0.14609517784232928,
      0.1444872363226213,
      0.1428987126535115,
      0.1413293679861243,
      0.13977896666605,
      0.138247275967736,
      0.1367340661812065,
      0.13523911058716043,
      0.13376218537801307,
      0.1323030695496656,
      0.1308615450310799,
      0.12943739648619712,
      0.1280304255502212,
      0.12664049776480812,
      0.1252674796929559,
      0.12391121528818635,
      0.12257153372110233,
      0.12124825475412661,
      0.11994119246912217,
      0.11865015774999851,
      0.11737496005209473,
      0.1161154086110181,
      0.11487131334402335,
      0.11364248523750504,
      0.11242873692185686,
      0.11122988266613142,
      0.11004573875345774,
      0.10887612350664364,
      0.10772085729530209,
      0.1065797627851695,
      0.10545266471812982,
      0.104339390017665,
      0.10323976773603595,
      0.10215362903463646,
      0.10108080721602412,
      0.10002113765513744,
      0.09897445782702725,
      0.09794060735464856,
      0.09691942763140567,
      0.09591076224545961,
      0.0949144567626331,
      0.09393031841338104,
      0.09295812282026021,
      0.09199766874945074,
      0.09104877477143007,
      0.09011127377219699,
      0.08918500918612748,
      0.08826983239514188,
      0.08736560055892893,
      0.08647217545313673,
      0.08558942271945719,
      0.08471720470857777,
      0.0838553415339459,
      0.08300364542815514,
      0.08216195065051193,
      0.08133010734900087,
      0.080507977149651,
      0.07969543021165641,
      0.0788923430883201,
      0.07809859721672963,
      0.07731407787471013,
      0.07653867334315309,
      0.07577227449955169,
      0.07501477426225024,
      0.07426606746564976,
      0.07352605050687909,
      0.07279462138038262,
      0.07207167945409271,
      0.07135712037463146,
      0.07065080502761942,
      0.06995258749313224,
      0.06926233875078709,
      0.06857994201619236,
      0.06790528948789695,
      0.06723828002615655,
      0.06657881744874555,
      0.06592680955855404,
      0.06528216713567488,
      0.06464480334152069,
      0.0640146333866247,
      0.06339157399949583,
      0.06277554350562045,
      0.06216646150215123,
      0.06156424869968161,
      0.06096882696860226,
      0.06038011913207503,
      0.059798048957011164,
      0.05922254125644763,
      0.058653521668336664,
      0.05809091673002553,
      0.057534653832216,
      0.05698466120793287,
      0.05644086963205506,
      0.055903213050353305,
      0.05537162536222759,
      0.05484604020287113,
      0.05432639131244464,
      0.05381261264449991,
      0.05330463850402321,
      0.052802403708947954,
      0.05230584370594834,
      0.05181489455498548,
      0.05132949287804508,
      0.050849575997620126,
      0.05037508198556504,
      0.04990594940334899,
      0.049442117644998035,
      0.048983526739572465,
      0.048530117330985334,
      0.04808183077770656,
      0.0476386090899181,
      0.04720039494872069,
      0.046767131661030546,
      0.04633876322497799,
      0.04591523422954432,
      0.045496489890061644,
      0.04508247605402464,
      0.04467313914925191,
      0.04426842622627291,
      0.04386828497463057,
      0.043472663677914414,
      0.04308151114888509,
      0.04269477682575182,
      0.04231241075934577,
      0.04193436359636167,
      0.04156058645054709,
      0.04119103097586505,
      0.04082564942603557,
      0.04046439456974548,
      0.0401072197609763,
      0.039754078871343114,
      0.039404926326246315,
      0.03905971700329018,
      0.038718406294610146,
      0.03838095008222105,
      0.03804730477861881,
      0.03771742728078648,
      0.03739127495114594,
      0.03706880574361112,
      0.03674997805532732,
      0.03643475070072222,
      0.03612308290316052,
      0.03581493445067776,
      0.03551025819844206,
      0.035208982707665204,
      0.03491104072565103,
      0.034616374235326104,
      0.03432493209456373,
      0.034036668121980196,
      0.03375153981926604,
      0.033469507368501836,
      0.03319053311079087,
      0.03291458097274205,
      0.03264161600426496,
      0.0323716043150967,
      0.03210451283711478,
      0.03184030920778682,
      0.031578961672288866,
      0.03132043886056481,
      0.03106470987446887,
      0.03081174435468171,
      0.030561512304506086,
      0.030313983981981388,
      0.030069130139919183,
      0.029826921736281146,
      0.029587330135496505,
      0.029350327040913678,
      0.02911588444755355,
      0.02888397461844815,
      0.028654570138099886,
      0.02842764391660666,
      0.028203169229864277,
      0.027981119608539752,
      0.027761468842604494,
      0.027544190974047405,
      0.02732926031933062,
      0.0271166514291696,
      0.026906339262410442,
      0.02669829894794271,
      0.026492505951453825,
      0.02628893601093375,
      0.026087565079861066,
      0.02588836934116491,
      0.025691325349283905,
      0.025496409858719593,
      0.025303599863505517,
      0.02511287264052268,
      0.02492420563509495,
      0.02473757666205705,
      0.024552963586528725,
      0.024370344663507598,
      0.024189698318961946,
      0.02401100318304895,
      0.023834238222665866,
      0.023659382560276488,
      0.02348641566898956,
      0.023315317053347266,
      0.023146066480865687,
      0.022978643969442422,
      0.022813029798147578,
      0.022649204452128365,
      0.022487148587361415,
      0.02232684311410289,
      0.022168269166393348,
      0.022011408037646625,
      0.02185624119008124,
      0.021702750258393327,
      0.021550917203464876,
      0.02140072406033402,
      0.02125215310654777,
      0.021105186770109714
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786064068759043,
      10.569451506274023,
      10.344023047676218,
      10.112453859110463,
      9.877135849722988,
      9.640146627061288,
      9.403321754597554,
      9.168238166765198,
      8.936248858889984,
      8.708465745666562,
      8.485750339902319,
      8.268713839296923,
      8.057725463258384,
      7.85293196287587,
      7.654285926620841,
      7.461579985909496,
      7.274479677734009,
      7.092558105390879,
      6.915329115756785,
      6.742276032540444,
      6.572876033585959,
      6.406619087167142,
      6.243025609443693,
      6.081660111624863,
      5.9221375371323095,
      5.764134404246481,
      5.607398138996573,
      5.451743812594422,
      5.297056506212108,
      5.143296546811677,
      4.990489640908577,
      4.838729614099505,
      4.688168500417273,
      4.539017885775766,
      4.391549168458303,
      4.246083342399358,
      4.102979383943517,
      3.962621668007253,
      3.825410152574159,
      3.691756362901457,
      3.562061415124326,
      3.4366928651785646,
      3.315975760693034,
      3.20018625085617,
      3.0895473389232144,
      2.9842273318047945,
      2.8843449869294875,
      2.78996686249522,
      2.701100467600942,
      2.6177076446077043,
      2.5397050081345784,
      2.466952716593435,
      2.399251634941501,
      2.3363478426851323,
      2.2779546833199587,
      2.223758233452209,
      2.173410960343581,
      2.1265250918050693,
      2.0826911019404197,
      2.0415343863741358,
      2.0026970770495813,
      1.9658301328315047,
      1.9306503248883793,
      1.896936876581395,
      1.8645157418975904,
      1.8332464934384127,
      1.803013850814197,
      1.7737180372926042,
      1.7452780945305215,
      1.7176276565593112,
      1.6907089373192445,
      1.6644753001757415,
      1.6388885184896578,
      1.6139154802394378,
      1.5895270282665968,
      1.5656971073552581,
      1.5424021355318507,
      1.5196205369974514,
      1.4973323941291194,
      1.4755191853388157,
      1.4541635849052177,
      1.4332493085937654,
      1.4127609925973426,
      1.3926840980378907,
      1.373004849895293,
      1.3537107551276801,
      1.3347901201423442,
      1.3162312029862615,
      1.2980226809569946,
      1.2801537326378776,
      1.2626140076399213,
      1.245393600738012,
      1.228483026735246,
      1.2118731976117951,
      1.195555779870272,
      1.1795230668886305,
      1.1637674964745275,
      1.1482816756518741,
      1.1330584090335827,
      1.1180913528905974,
      1.1033750997301839,
      1.088904131155187,
      1.0746728071995049,
      1.0606754657024695,
      1.046906489869026,
      1.033360352600577,
      1.0200316456958811,
      1.0069150982361177,
      0.9940055872806235,
      0.9812981428675328,
      0.9687879496048695,
      0.9564703456538237,
      0.9443408201502772,
      0.9323950100042673,
      0.9206288389154553,
      0.9090388701362662,
      0.897621731891904,
      0.8863740004560501,
      0.8752922496919222,
      0.8643730846217211,
      0.8536131627533959,
      0.8430092085985754,
      0.8325580214570837,
      0.8222565826812606,
      0.8121026717398883,
      0.8020942904284948,
      0.7922291928791036,
      0.7825049881637257,
      0.772919209024682,
      0.7634690132917928,
      0.7541511180732994,
      0.7449623983643736,
      0.7358999402746533,
      0.7269610407532026,
      0.7181431622200206,
      0.7094439002551071,
      0.7008609601365815,
      0.6923921401278281,
      0.6840356026853884,
      0.6757905508358427,
      0.6676560844834691,
      0.6596309914805003,
      0.6517138581374479,
      0.6439031454255479,
      0.6361972414804463,
      0.6285944973874894,
      0.6210932514787013,
      0.6136918459644197,
      0.6063886378179304,
      0.5991820057907555,
      0.5920703551922093,
      0.5850521209954775,
      0.5781257690352671,
      0.5712897967616222,
      0.5645427337410343,
      0.5578831414574951,
      0.5513096128050908,
      0.5448207714564609,
      0.5384152711396925,
      0.532091795237174,
      0.5258490555922805,
      0.5196857920300597,
      0.5136007714258819,
      0.5075927871922283,
      0.5016606582459894,
      0.49580322845275504,
      0.4900193655837528,
      0.4843079610106693,
      0.47866792894577775,
      0.47309820563807625,
      0.4675977489596325,
      0.46216553759715173,
      0.45680057061402224,
      0.4515018669277622,
      0.4462684646540643,
      0.4410994204979561,
      0.4359938094225699,
      0.4309507242417177,
      0.42596927480789715,
      0.4210485878652227,
      0.4161878064243708,
      0.4113860893989289,
      0.4066426111742702,
      0.40195656138971675,
      0.39732714432548083,
      0.39275357853124193,
      0.3882350965193546,
      0.38377094460021854,
      0.3793603824040646,
      0.3750026824451829,
      0.37069712975530966,
      0.36644302189224875,
      0.36223963257638536,
      0.3580860406216345,
      0.35398130908158637,
      0.34992460126153996,
      0.34591515356956365,
      0.34195225627020315,
      0.33803523988938383,
      0.33416346641053274,
      0.3303363221636955,
      0.32655321312299324,
      0.3228135617815522,
      0.3191168046148817,
      0.3154623903788144,
      0.3118497789825073,
      0.3082784403230865,
      0.30474785371476504,
      0.3012575073386889,
      0.29780689777639324,
      0.29439552972766597,
      0.29102291570910965,
      0.28768857577154694,
      0.28439209225656914,
      0.28113328868202886,
      0.2779119908617058,
      0.274727937180133,
      0.2715808068226493,
      0.2684702397601173,
      0.26539586621705225,
      0.2623574075412943,
      0.2593545966762048,
      0.25638715739820106,
      0.2534548275101019,
      0.2505573070751187,
      0.24769425708360385,
      0.24486531267179748,
      0.24207009281792113,
      0.23930820688522483,
      0.23657925928317414,
      0.2338828527614467,
      0.23121858863238556,
      0.22858602020420957,
      0.2259846801972698,
      0.22341412999680688,
      0.2208739526051894,
      0.21836374773067913,
      0.21588312816344668,
      0.21343171731073554,
      0.21100914739909468,
      0.20861505845163095,
      0.206249097184317,
      0.20391091639035433,
      0.20160017454273066,
      0.19931653525805748,
      0.1970596672177849,
      0.19482924653000672,
      0.19262514705850833,
      0.19044734752362527,
      0.18829573139909075,
      0.1861701181183476,
      0.18407029171886227,
      0.1819960193648071,
      0.17994701457558898,
      0.17792294982187684,
      0.17592350322621736,
      0.17394836040349113,
      0.17199721322553277,
      0.17006975910143318,
      0.1681657005155831,
      0.16628474457424844,
      0.16442660285175337,
      0.16259099109047795,
      0.1607776290337312,
      0.15898624028882813,
      0.15721655223318715,
      0.15546829586104244,
      0.1537412059272136,
      0.1520350204842707,
      0.15034948116747063,
      0.14868433296200542,
      0.14703932422833427,
      0.14541420657850795,
      0.1438087349146945,
      0.14222266727430094,
      0.14065576490071324,
      0.1391077920055629,
      0.1375785158903298,
      0.13606770687966505,
      0.1345751383474511,
      0.13310058639576666,
      0.13164383008300504,
      0.13020465134985987,
      0.12878287132875985,
      0.12737836224890872,
      0.12599097879615345,
      0.12462055593043923,
      0.12326691585069045,
      0.12192987266294204,
      0.12060923581392838,
      0.11930481218790656,
      0.11801640776619504,
      0.11674382870286534,
      0.1154868818780224,
      0.11424537555435327,
      0.11301911971966568,
      0.11180792630145937,
      0.11061160915218803,
      0.1094299843018049,
      0.10826286984216228,
      0.10711008616836475,
      0.10597145583978786,
      0.10484680355046916,
      0.10373595625293278,
      0.10263874306726432,
      0.10155499533131088,
      0.10048454637865124,
      0.09942723164168123,
      0.0983828887236804,
      0.09735135730066333,
      0.09633247889664748,
      0.0953260971745135,
      0.09433205776360953,
      0.0933501632843414,
      0.09238018907764595,
      0.09142193583543935,
      0.09047522354084925,
      0.089539886137458,
      0.0886157678105423,
      0.08770272031281705,
      0.08680060128561588,
      0.08590927288895295,
      0.08502860092567444,
      0.08415844961777605,
      0.0832986418649599,
      0.08244898891833928,
      0.0816093242990436,
      0.08077949767260477,
      0.07995937044895426,
      0.07914881262683025,
      0.07834770066017752,
      0.07755591599520474,
      0.07677334384261368,
      0.07599987255272242,
      0.07523539299925609,
      0.07447979808085746,
      0.07373298270409215,
      0.07299484338589002,
      0.07226527812296885,
      0.0715441864352237,
      0.07083146908411295,
      0.07012699876437739,
      0.06943062649959218,
      0.06874221932847638,
      0.06806165773515718,
      0.06738883192428019,
      0.06672363935828039,
      0.06606598309542258,
      0.06541577025152259,
      0.0647729111003791,
      0.06413731856840053,
      0.06350890753222632,
      0.0628875947284667,
      0.06227329837774908,
      0.06166593804662056,
      0.06106543450502694,
      0.06047170957892246,
      0.05988468616257497,
      0.05930428811727361,
      0.058730440218272034,
      0.05816306819107703,
      0.05760209862392312,
      0.05704745902052764,
      0.05649907766854259,
      0.05595688489090414,
      0.05542081464634482,
      0.05489080104479219,
      0.05436677797768918,
      0.053848679265464626,
      0.05333643888716777,
      0.05282999127771797,
      0.05232927156606656,
      0.05183421527864723,
      0.05134475846117502,
      0.05086083777332081,
      0.05038239063066235,
      0.04990935514897757,
      0.049441670021266856,
      0.04897927463861403,
      0.04852210914074421,
      0.048070114243423806,
      0.04762323136709327,
      0.04718140265072205,
      0.04674457070092996,
      0.046312678918830584,
      0.045885671409945025,
      0.04546349279193277,
      0.045046088309588915,
      0.04463340395230031,
      0.04422538626576806,
      0.043821982344116835,
      0.04342313988439346,
      0.04302880727209816,
      0.04263893341800936,
      0.04225346778795974,
      0.04187236052388569,
      0.04149556224915948,
      0.04112302415601453,
      0.040754697993100705,
      0.04039053612847868,
      0.0400304913954887,
      0.039674517083535636,
      0.03932256719164807,
      0.03897459616270618,
      0.038630558972967056,
      0.03829041110877898,
      0.037954108532773555,
      0.03762160766758486,
      0.037292865559607244,
      0.03696783962215368,
      0.03664648776173781,
      0.03632876835974905,
      0.03601464037706785,
      0.035704063244441704,
      0.03539699669134794,
      0.03509340102748205,
      0.03479322787267153,
      0.034496406534429154,
      0.034202871303963815,
      0.03391256544058747,
      0.03362543874254066,
      0.03334144583380327,
      0.03306054494991913,
      0.032782697008157266,
      0.032507864885456816,
      0.03223601299654069,
      0.03196710695432747,
      0.03170111334010402,
      0.03143799953769335,
      0.031177733596369703,
      0.030920284083650454,
      0.030665620146707682,
      0.03041371131527295,
      0.030164527652872673,
      0.029918039439212542,
      0.029674217378170258,
      0.029433032604160258,
      0.02919445649589856,
      0.02895846079337869,
      0.028725017487224513,
      0.02849409896993397,
      0.028265677809865983,
      0.028039727022648387,
      0.027816219869812604,
      0.02759512988146687,
      0.027376430965758966,
      0.027160097150640976,
      0.02694610282591346,
      0.026734422699979166,
      0.02652503178682488,
      0.026317905269807606,
      0.026113018614456803,
      0.025910347631466157,
      0.025709868346748994,
      0.025511557028511093,
      0.025315390199274326,
      0.025121344674162976,
      0.024929397543356952,
      0.02473952609179354,
      0.024551707897767314,
      0.024365920735669056,
      0.024182142587343906,
      0.024000351667197266,
      0.02382052650539825,
      0.023642645940026536,
      0.023466688881511603,
      0.023292634433517145,
      0.023120462024089582,
      0.022950151420605722,
      0.022781682389416413,
      0.0226150350683923,
      0.022450189698138705,
      0.02228712681485151,
      0.022125827142303715,
      0.02196627151301006,
      0.021808441190689132,
      0.021652317440585756,
      0.021497881815505764,
      0.02134511603564685,
      0.021194002015621747,
      0.021044521939805754,
      0.020896658138436663,
      0.020750393088202052
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.78605842941578,
      10.569425552063112,
      10.343965883608542,
      10.112358630812759,
      9.87699845572261,
      9.63996473422634,
      9.403094696822091,
      9.167966350773614,
      8.935933428973406,
      8.708108387174441,
      8.485352916728587,
      8.268278154486477,
      8.057253129611222,
      7.852424315307012,
      7.653743975981128,
      7.461004355335083,
      7.273870580346525,
      7.091915507272627,
      6.914652792588786,
      6.741565643105288,
      6.572131235984717,
      6.4058396462877205,
      6.242211392551908,
      6.080811038935193,
      5.921253553801635,
      5.763215898053683,
      5.606446067557793,
      5.450759678915621,
      5.296042342828366,
      5.142255011649761,
      4.989424118467556,
      4.837643922829966,
      4.687066827281182,
      4.537904884344986,
      4.390429893530321,
      4.244963163893894,
      4.101863883377335,
      3.9615165403506927,
      3.8243212283965122,
      3.690689724182033,
      3.5610228457851774,
      3.43568761048595,
      3.315008446399133,
      3.1992608226427155,
      3.0886670258000404,
      2.9833946231812143,
      2.8835616463391243,
      2.7892337618011527,
      2.7004176256622014,
      2.617074547284354,
      2.539120166485318,
      2.4664136944268877,
      2.3987546712732817,
      2.3358882635938167,
      2.2775275669043618,
      2.22335856732374,
      2.173033452689857,
      2.1261641448855815,
      2.082341225691331,
      2.04119089809326,
      2.0023553979265145,
      1.9654864773516334,
      1.9303018502924891,
      1.8965814950296704,
      1.8641519326737566,
      1.8328731640835327,
      1.8026301515587355,
      1.7733233716476697,
      1.7448720996645706,
      1.7172101846107495,
      1.6902798952149252,
      1.6640345339768907,
      1.638435982174049,
      1.6134512102441947,
      1.5890511188188718,
      1.5652096926310421,
      1.5419033757643863,
      1.5191106101231058,
      1.4968114889065143,
      1.4749874957385742,
      1.4536213070397608,
      1.4326966383525535,
      1.412198124288175,
      1.3921112229611083,
      1.3724221687313531,
      1.3531184839027206,
      1.3341885156584128,
      1.3156205594857209,
      1.2974032509994398,
      1.2795257384664178,
      1.2619776492271724,
      1.2447490605112095,
      1.2278304737250085,
      1.2112127992622874,
      1.194887745589183,
      1.178847597583129,
      1.163084770146798,
      1.147591852890306,
      1.1323616372934833,
      1.117387818352194,
      1.1026649907859185,
      1.0881876133374098,
      1.0739500291812436,
      1.0599465636670744,
      1.0461715903031492,
      1.0326195747327873,
      1.0192851029719945,
      1.0061628998996617,
      0.9932478386869015,
      0.9805349460556486,
      0.9680194040770884,
      0.9556965485483947,
      0.9435618667232124,
      0.9316109934529982,
      0.9198400636809937,
      0.9082456703410723,
      0.8968243616519591,
      0.8855726583181994,
      0.8744870954246367,
      0.8635642502756965,
      0.8528007613210916,
      0.8421933393745574,
      0.8317387741455723,
      0.8214341411191689,
      0.8112773605752476,
      0.8012663504460412,
      0.7913988076717025,
      0.7816723014811152,
      0.7720843368295137,
      0.7626320411384202,
      0.7533121157008974,
      0.7441214283605669,
      0.7350570618326884,
      0.7261163106401037,
      0.7172966354528901,
      0.7085956302840576,
      0.7000109991956995,
      0.6915405397051675,
      0.683182710997003,
      0.6749367584357518,
      0.6668016717973612,
      0.6587761622973635,
      0.6508587629250746,
      0.6430478978185479,
      0.6353419295397987,
      0.6277391912157048,
      0.6202380086625742,
      0.6128367154466409,
      0.6055336623361846,
      0.5983272238580287,
      0.5912158023961724,
      0.5841978305438442,
      0.5772717724397791,
      0.5704361244591398,
      0.5636894151956798,
      0.5570302054318678,
      0.5504570873427306,
      0.5439686841866082,
      0.5375636494732134,
      0.53124066609745,
      0.5249984454954463,
      0.5188357273358635,
      0.5127512782011343,
      0.5067438909407068,
      0.5008123841653701,
      0.494955601252439,
      0.4891724098054624,
      0.48346170091023605,
      0.47782238842054603,
      0.4722534083260462,
      0.4667537181041667,
      0.46132229618541926,
      0.4559581412050732,
      0.4506602717033671,
      0.4454277255150622,
      0.44025955915521975,
      0.43515484735598886,
      0.4301126823744688,
      0.4251321737856399,
      0.42021244787210305,
      0.41535264729899307,
      0.41055193069473983,
      0.40580947221496316,
      0.40112446111670624,
      0.39649610139520863,
      0.391923611280633,
      0.38740622295228416,
      0.3829431823187074,
      0.37853374866170736,
      0.3741771942473972,
      0.36987280380280735,
      0.3656198744948887,
      0.3614176489938646,
      0.3572651628236691,
      0.35316150223056664,
      0.3491058466740488,
      0.34509744354807464,
      0.3411355906256013,
      0.33721962392629723,
      0.33334890895471714,
      0.32952283437659524,
      0.3257408077293077,
      0.32200225247848424,
      0.31830660563548085,
      0.31465331634765387,
      0.31104184460540685,
      0.3074716602402581,
      0.3039422424920518,
      0.3004530793417905,
      0.2970036672207923,
      0.293593510624126,
      0.29022212179405377,
      0.2868890203963235,
      0.28359382296971114,
      0.2803363797611985,
      0.2771164970900608,
      0.2739338995754342,
      0.27078825682067503,
      0.2676792017828993,
      0.26460639021483845,
      0.26156956842392,
      0.25856845277504575,
      0.2556027709624725,
      0.252672251812629,
      0.24977658057376617,
      0.2469154074975381,
      0.24408836006065412,
      0.2412950517405242,
      0.23853508793792438,
      0.23580807027866985,
      0.23311359947548968,
      0.23045126756905418,
      0.2278206151302377,
      0.2252211801750328,
      0.222652527787705,
      0.22011424353326622,
      0.21760592874555518,
      0.21512719731518362,
      0.21267767332947596,
      0.2102569895817455,
      0.20786478630756985,
      0.20550071032274325,
      0.20316441455948941,
      0.20085555729959972,
      0.19857380223451243,
      0.19631881780060467,
      0.1940904025768754,
      0.1918885282348501,
      0.18971310190905644,
      0.1875639578886682,
      0.1854408863366982,
      0.18334365922000204,
      0.18127202384364555,
      0.1792256776104416,
      0.17720428210370479,
      0.1752075081549251,
      0.1732350360907243,
      0.17128655413302304,
      0.16936175718081647,
      0.16746034597538048,
      0.16558202642945183,
      0.16372650924532037,
      0.16189350960444748,
      0.16008274674292058,
      0.15829394402191047,
      0.15652682857109732,
      0.15478113135672605,
      0.15305658692981103,
      0.15135293331844235,
      0.14966991209554772,
      0.14800726819627222,
      0.1463647499615914,
      0.14474210912843744,
      0.14313910049282802,
      0.14155548214217795,
      0.1399910152329451,
      0.13844546405123695,
      0.13691859593032488,
      0.13541018121583556,
      0.13391999322742867,
      0.13244780811534623,
      0.13099340774580345,
      0.12955663460774938,
      0.12813735899725381,
      0.1267354249785667,
      0.1253506593706156,
      0.12398287782909526,
      0.1226318892556348,
      0.12129749862042334,
      0.11997950901789746,
      0.11867772296905672,
      0.11739194347832442,
      0.11612197467136144,
      0.11486762205382352,
      0.11362869304141189,
      0.11240499701265048,
      0.11119634547616349,
      0.1100025519331826,
      0.10882343224291317,
      0.10765880458874334,
      0.10650848924241609,
      0.10537230888885926,
      0.10425008833585891,
      0.10314165448539957,
      0.1020468365286192,
      0.10096546584328797,
      0.09989737594358107,
      0.09884240236719456,
      0.09780038285598212,
      0.09677115699054818,
      0.09575456651235896,
      0.0947504552270463,
      0.09375866812029564,
      0.0927790042670495,
      0.09181123957715268,
      0.09085517627102992,
      0.08991063540814438,
      0.0889774517702594,
      0.08805547015211294,
      0.08714454281645465,
      0.08624452765176213,
      0.08535528710214922,
      0.08447668713329824,
      0.08360859423476569,
      0.08275083450032338,
      0.08190321787268172,
      0.08106557710580853,
      0.08023776139084444,
      0.0794196316837564,
      0.07861105776396637,
      0.07781191591547346,
      0.07702208742812841,
      0.07624145750269463,
      0.07546991449236548,
      0.07470734920672127,
      0.07395365467699944,
      0.07320872583416473,
      0.07247245921637661,
      0.07174475293066267,
      0.07102550650894772,
      0.07031462087445949,
      0.06961198336443886,
      0.06891744727542762,
      0.06823087482669864,
      0.06755214306328798,
      0.06688113981536668,
      0.06621776087010517,
      0.06556190807102441,
      0.06491348772056664,
      0.06427240948674691,
      0.06363858593014131,
      0.06301193180970356,
      0.06239236366110351,
      0.06177979959820338,
      0.06117415909159942,
      0.0605753629275785,
      0.059983332984300426,
      0.05939799220622125,
      0.05881926444559517,
      0.05824707459063645,
      0.05768134839220182,
      0.057122012503867274,
      0.05656899440730481,
      0.05602222247483061,
      0.05548162675018136,
      0.054947141117356074,
      0.05441869985677609,
      0.05389623699971713,
      0.05337968658448954,
      0.05286898271504885,
      0.052364060024019436,
      0.05186485348861503,
      0.051371298779332684,
      0.050883332082913714,
      0.05040089022967633,
      0.04992391067369934,
      0.049452331516834695,
      0.048986091614601254,
      0.04852513045280731,
      0.048069388185635706,
      0.047618805618952396,
      0.047173324202692365,
      0.046732886025437334,
      0.046297433941908744,
      0.04586691139819851,
      0.0454412625582171,
      0.04502043204472271,
      0.04460436525797677,
      0.04419300819151702,
      0.043786307441138754,
      0.04338421021618718,
      0.04298666435642023,
      0.04259361823351217,
      0.04220502084237652,
      0.04182082167213583,
      0.041440970865379,
      0.04106541915081951,
      0.0406941178514294,
      0.04032701874536595,
      0.03996407420540124,
      0.03960523715290655,
      0.03925046103309414,
      0.03889969984330732,
      0.03855290808368202,
      0.0382100407893229,
      0.03787105349153847,
      0.037535902215921735,
      0.03720454349172704,
      0.036876934347691154,
      0.036553032264667704,
      0.03623279534374136,
      0.035916182040526635,
      0.035603151308093474,
      0.035293662595849006,
      0.03498767569703417,
      0.03468515095440303,
      0.0343860491399965,
      0.034090322046960254,
      0.0337978999207358,
      0.033508718093562394,
      0.03322272076964982,
      0.03293985848840907,
      0.03266008658265763,
      0.03238336389083051,
      0.03210965176590708,
      0.03183891352999227,
      0.03157111424174415,
      0.03130621998717002,
      0.03104419776297086,
      0.030785015379166968,
      0.03052864130776446,
      0.03027504460059503,
      0.030024194717476443,
      0.029776061619738926,
      0.02953061564307771,
      0.02928782757869547,
      0.029047668479381054,
      0.028810109775260346,
      0.028575123320917915,
      0.028342681148547707,
      0.028112755670112483,
      0.027885319594626885,
      0.027660345926440982,
      0.027437807916620892,
      0.027217679225503617,
      0.026999933755808756,
      0.026784545715945088,
      0.026571489531607755,
      0.026360739879282117,
      0.026152271793776646,
      0.025946060532159834,
      0.0257420816964024,
      0.025540311131410327,
      0.025340724887598243,
      0.02514329927338554,
      0.02494801101383958,
      0.024754836898283585,
      0.024563753975879347,
      0.024374739643798396,
      0.024187771444064015,
      0.0240028272396035,
      0.023819885152866205,
      0.023638923502381805,
      0.023459920768647204,
      0.02328285582477853,
      0.023107707608726474,
      0.022934455422409492,
      0.022763078621574687,
      0.022593556903754943,
      0.022425870219265526,
      0.022259998682999143,
      0.02209592270008261,
      0.021933622841262598,
      0.02177307991320859,
      0.021614274825799456,
      0.02145718873061369,
      0.021301802956382176,
      0.021148099148989557,
      0.020996059123129615,
      0.020845664848212906,
      0.020696898505046014,
      0.02054974251127835,
      0.02040417940158981
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786052801364022,
      10.569399649818667,
      10.343908840675399,
      10.112263618872701,
      9.876861398402308,
      9.639783315794261,
      9.402868266911547,
      9.167695328372178,
      8.935618966492049,
      8.707752176825519,
      8.484956826364112,
      8.26784398995441,
      8.056782505442607,
      7.85191856863645,
      7.653204119282098,
      7.46043101412841,
      7.273263971689659,
      7.091275600911991,
      6.913979370459268,
      6.7408583687877295,
      6.571389772471185,
      6.405063763278451,
      6.241400961269666,
      6.079965984242166,
      5.920373825541842,
      5.7623018889675315,
      5.605498740118076,
      5.449780539640839,
      5.295033426004966,
      5.141218975153846,
      4.988364343774437,
      4.836564223366219,
      4.685971383840601,
      4.536798339121582,
      4.389317286199845,
      4.24384984546467,
      4.100755413062261,
      3.960418604449719,
      3.8232396416383194,
      3.6896305332921115,
      3.559991797774634,
      3.434689914443848,
      3.314048692443593,
      3.1983429226262023,
      3.0877941765331207,
      2.982569284303872,
      2.882785556253667,
      2.78850770279322,
      2.699741605607215,
      2.6164480442650997,
      2.538541688478343,
      2.465880806037539,
      2.398263616890372,
      2.3354343779328075,
      2.2771059395321136,
      2.2229641991008666,
      2.172661067745413,
      2.1258081635911457,
      2.0819961773302533,
      2.0408520917873445,
      2.002018255600122,
      1.9651472458048078,
      1.9299577121880935,
      1.8962303829759268,
      1.8637923424018943,
      1.8325040160868231,
      1.8022506074148732,
      1.7729328438892635,
      1.7444702331965283,
      1.7167968311865751,
      1.6898550295328885,
      1.6635980391587102,
      1.6379877872526714,
      1.612991334249515,
      1.5885796437246593,
      1.5647267440909094,
      1.5414091089129671,
      1.5186051989291542,
      1.496295118778415,
      1.4744603591290888,
      1.4530835989966924,
      1.4321485544024533,
      1.4116398588685986,
      1.3915429677862396,
      1.3718441249203754,
      1.3525308680933281,
      1.3335915741899595,
      1.3150145909953055,
      1.296788511475445,
      1.2789024525636998,
      1.261346018209135,
      1.2441092682953894,
      1.2271826907756391,
      1.2105572129635682,
      1.1942245759991803,
      1.1781770366046638,
      1.162406989136104,
      1.146907007781308,
      1.1316698859922976,
      1.1166893539461136,
      1.101959993337552,
      1.0874762426545639,
      1.0732324299918492,
      1.0592228693698014,
      1.0454419257023162,
      1.0318840577588995,
      1.0185438463046317,
      1.0054160118829207,
      0.9924954241980679,
      0.9797771071755519,
      0.9672562402564082,
      0.9549281569815913,
      0.9427883425224833,
      0.9308325024572226,
      0.9190569518216308,
      0.9074582336796293,
      0.896032828640081,
      0.8847772095958739,
      0.8736878780755618,
      0.862761388092997,
      0.8519943615116607,
      0.8413834972923965,
      0.8309255767253892,
      0.820617836856002,
      0.8104582502727707,
      0.80044465919889,
      0.7905747079179738,
      0.7808459294547859,
      0.7712558035766098,
      0.7618014302875169,
      0.7524794957587839,
      0.7432868608108993,
      0.7342206052179321,
      0.7252780213982118,
      0.7164565682340751,
      0.7077538385370924,
      0.6991675356187634,
      0.6906954715408267,
      0.6823364005976118,
      0.6740895855745919,
      0.6659539093120184,
      0.6579280086145123,
      0.6500103652053654,
      0.6421993672881252,
      0.6344933523841565,
      0.6268906364669415,
      0.6193895333059235,
      0.6119883679318159,
      0.6046854851909212,
      0.5974792554875806,
      0.5903680780747466,
      0.5833503835423509,
      0.5764246344274863,
      0.5695893258436211,
      0.5628429855030257,
      0.5561841734483685,
      0.5496114814263953,
      0.5431235320625545,
      0.5367189783260159,
      0.5303965027320954,
      0.5241548164661183,
      0.5179926586865141,
      0.5119087957332343,
      0.5059020202712055,
      0.4999711505244783,
      0.4941150295797841,
      0.4883325246879211,
      0.4826225265900783,
      0.47698394866987326,
      0.47141572667127946,
      0.46591681776513233,
      0.46048620000903423,
      0.45512287182196426,
      0.4498258513487583,
      0.44459417607281737,
      0.43942690219673597,
      0.43432310397000523,
      0.42928187342400537,
      0.42430231982917826,
      0.41938356918157077,
      0.4145247637969709,
      0.4097250619118243,
      0.4049836373695307,
      0.40029967908820563,
      0.39567239064167387,
      0.39110099000613774,
      0.38658470904068887,
      0.3821227933395714,
      0.37771450177008753,
      0.37335910610436746,
      0.3690558908730025,
      0.3648041530347167,
      0.3606030776643752,
      0.35645169327669063,
      0.352349106315453,
      0.3482945100159484,
      0.3442871615647844,
      0.3403263654168997,
      0.3364114620244519,
      0.3325418198522193,
      0.32871682973655236,
      0.32493590058860716,
      0.3211984567082386,
      0.3175039356949694,
      0.31385178680931863,
      0.3102414700852434,
      0.30667245540297866,
      0.30314422185040885,
      0.2996562572574487,
      0.29620805774961223,
      0.2927991275879602,
      0.28942897867133605,
      0.2860971304642925,
      0.2828032491581222,
      0.2795471909554526,
      0.2763287441771508,
      0.27314762079718324,
      0.2700034815006701,
      0.2668959528863442,
      0.2638247336715696,
      0.2607895726800173,
      0.25779017688602734,
      0.25482627761061255,
      0.2518975894385746,
      0.24900378377769583,
      0.2461445010870499,
      0.24331936204236065,
      0.2405279751775993,
      0.2377699424699143,
      0.23504486301573171,
      0.2323523357296181,
      0.2296919427894212,
      0.22706321325316972,
      0.22446569035866634,
      0.22189894286639142,
      0.21936255871546806,
      0.21685614093021932,
      0.21437930446427536,
      0.21193167419962483,
      0.20951288335570706,
      0.20712257245556726,
      0.2047603883873017,
      0.2024259840412752,
      0.2001190177456269,
      0.19783915302033797,
      0.1955861161231884,
      0.19335985764414115,
      0.1911603109112822,
      0.1889873268664095,
      0.18684070387417442,
      0.1847202176301969,
      0.18262561962746762,
      0.18055663944621858,
      0.1785129624564965,
      0.1764942418440786,
      0.17450014262729205,
      0.17253034101570724,
      0.17058452234857083,
      0.16866237945748372,
      0.16676361170197368,
      0.16488792407629918,
      0.16303502665166777,
      0.16120463407162275,
      0.1593964652329324,
      0.15761024328406567,
      0.1558456952099963,
      0.15410255179059987,
      0.15238054746863458,
      0.15067942027904652,
      0.1489989117379683,
      0.14733876681198405,
      0.14569873387867516,
      0.14407856446172904,
      0.1424780134717883,
      0.14089683892948712,
      0.1393348021114579,
      0.13779166724816788,
      0.13626720168270529,
      0.13476117573351187,
      0.13327336272544352,
      0.13180355413033792,
      0.13035160805370816,
      0.12891738305700107,
      0.1275007142734433,
      0.12610142158781787,
      0.12471931511454536,
      0.12335419900763281,
      0.12200587419016286,
      0.12067414011527251,
      0.11935879611946626,
      0.1180596421502203,
      0.11677647945654344,
      0.11550911098398409,
      0.11425734148873762,
      0.1130209778354714,
      0.11179982904763232,
      0.11059370643473534,
      0.1094024234983774,
      0.10822579604932288,
      0.10706364218585909,
      0.1059157823246957,
      0.10478203908055944,
      0.10366223726806945,
      0.10255620403199436,
      0.10146376867372237,
      0.10038476257459641,
      0.09931901927889648,
      0.09826637445718475,
      0.09722666587095227,
      0.09619973336984107,
      0.09518541874998587,
      0.0941835658165383,
      0.09319401794808573,
      0.09221657184936231,
      0.09125100507313615,
      0.0902971210673642,
      0.08935474175338656,
      0.08842370253935417,
      0.08750384868322902,
      0.08659503272408024,
      0.08569711289508965,
      0.08480995185101613,
      0.08393341572400634,
      0.08306737351374185,
      0.0822116551278123,
      0.0813660689813377,
      0.08053044674038796,
      0.07970463674542082,
      0.07888849957097956,
      0.07808190462161993,
      0.07728472797042885,
      0.07649685086564606,
      0.07571815842564078,
      0.07494853895944326,
      0.07418788332142462,
      0.07343608462264226,
      0.07269303777844453,
      0.07195863943228169,
      0.07123278776815142,
      0.07051538231594845,
      0.06980632404187007,
      0.06910551000792409,
      0.06841280325655413,
      0.06772806038909608,
      0.06705115449487284,
      0.06638197064807877,
      0.06572040273783365,
      0.06506635122302426,
      0.0644197214565474,
      0.06378042254017242,
      0.06314836654719734,
      0.06252346791856735,
      0.061905643052624026,
      0.06129480992142199,
      0.06069088794755718,
      0.060093797870366165,
      0.05950346152828338,
      0.05891980188073244,
      0.05834274292300147,
      0.05777220949666597,
      0.057208127459639706,
      0.056650423446531394,
      0.056099025121790186,
      0.055553860943808146,
      0.055014860675730776,
      0.054481957953687474,
      0.05395508739562212,
      0.05343418305661708,
      0.052919179175186355,
      0.05241001013391582,
      0.05190661056097655,
      0.05140891559772876,
      0.05091686091068501,
      0.05043038281041243,
      0.04994941814383242,
      0.04947390447807444,
      0.049003780029475356,
      0.048538983626702996,
      0.04807945487674051,
      0.04762513396474932,
      0.04717596172353008,
      0.04673187979756444,
      0.046292830329882476,
      0.045858756280668926,
      0.04542960111285268,
      0.045005308956670216,
      0.044585824636940906,
      0.04417109356308527,
      0.04376106185342779,
      0.04335567607421287,
      0.04295488353072318,
      0.042558632090386204,
      0.04216687021812111,
      0.041779546985211885,
      0.04139661202321923,
      0.041018015483475154,
      0.04064370815419463,
      0.04027364138609245,
      0.039907767074406075,
      0.03954603769673638,
      0.039188406207238055,
      0.03883482611367711,
      0.03848525141994398,
      0.038139636751830595,
      0.03779793713835157,
      0.03746010821792195,
      0.037126106064924363,
      0.03679588720583852,
      0.036469408764231555,
      0.036146628410934925,
      0.035827504208145025,
      0.035511994687163345,
      0.035200058816905626,
      0.03489165611382258,
      0.03458674648345424,
      0.03428529036283962,
      0.03398724860395713,
      0.03369258242560196,
      0.033401245088163625,
      0.03311316790868671,
      0.032828286846032194,
      0.03254654662201626,
      0.0322678983648999,
      0.03199229793315637,
      0.0317197045723137,
      0.03145008017687019,
      0.031183388555920597,
      0.030919595148765865,
      0.030658666358143703,
      0.030400569654625904,
      0.030145273219857514,
      0.029892745965577266,
      0.029642957332249992,
      0.02939587720757513,
      0.0291514758883161,
      0.028909724087870795,
      0.028670592964942957,
      0.028434053997844738,
      0.02820007904146993,
      0.027968640223277726,
      0.027739709964662417,
      0.027513260997004265,
      0.027289266426721494,
      0.027067699623434315,
      0.026848534249391414,
      0.02663174418809998,
      0.026417303686899776,
      0.026205187294253772,
      0.025995369795123173,
      0.02578782627754756,
      0.025582532101744174,
      0.02537946287690474,
      0.025178594476818163,
      0.02497990307268234,
      0.024783364992018036,
      0.024588956829434128,
      0.024396655564787293,
      0.024206438279047414,
      0.02401828235076847,
      0.02383216550408885,
      0.023648065648360216,
      0.02346596089974057,
      0.023285829546232633,
      0.02310765022351995,
      0.022931401802471406,
      0.022757063376391932,
      0.022584614242659656,
      0.022414033882007214,
      0.022245301986261082,
      0.022078398614056048,
      0.02191330394088936,
      0.02174999831185589,
      0.021588462326861752,
      0.02142867682801919,
      0.021270622885153273,
      0.021114281708682958,
      0.020959634754201813,
      0.020806663637076468,
      0.02065535019378507,
      0.02050567642991713,
      0.020357624544945503,
      0.020211177002490352,
      0.02006631634689673
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786047182569263,
      10.569373791201581,
      10.343851902314475,
      10.112168798011085,
      9.876724639085795,
      9.639602319972736,
      9.402642399000825,
      9.167425020464275,
      8.93530538083804,
      8.707397012356443,
      8.48456195582807,
      8.267411222724117,
      8.05631345937764,
      7.8514145814478695,
      7.652666204845809,
      7.459859800955785,
      7.272659680036518,
      7.090638204139586,
      6.913308654192308,
      6.740154001563262,
      6.570651422776924,
      6.404291206207824,
      6.240594075100214,
      6.079124700595556,
      5.919498098556989,
      5.761392115048203,
      5.604555884920783,
      5.448806111320563,
      5.294029459407011,
      5.1401881267558425,
      4.987309991974383,
      4.83549017661265,
      4.684881816573318,
      4.53569788415018,
      4.388210969874975,
      4.2427430019982335,
      4.0996535814892745,
      3.9593274474363094,
      3.8221649579817174,
      3.688578349749649,
      3.5589678285112076,
      3.4336993347273124,
      3.3130960592009653,
      3.1974321160676142,
      3.0869283643866936,
      2.981750899891696,
      2.8820163140560706,
      2.787788362719205,
      2.699072157125007,
      2.615827950251444,
      2.5379694461420885,
      2.465353974558139,
      2.397778438433781,
      2.3349861898188418,
      2.2766898369841297,
      2.2225751908829325,
      2.1722938831097554,
      2.125457235769093,
      2.081656051501823,
      2.040518093077732,
      2.0016858247425175,
      1.964812646108562,
      1.9296181415243547,
      1.8958837864456084,
      1.8634372248485,
      1.832139306108345,
      1.8018754739808984,
      1.7725467064093416,
      1.7440727420466942,
      1.716387827670288,
      1.689434511807711,
      1.6631659074562115,
      1.6375439675186614,
      1.6125358438868946,
      1.588112564074883,
      1.5642482000431093,
      1.5409192552060438,
      1.518104209446417,
      1.49578318001042,
      1.4739376643473177,
      1.452550344459137,
      1.4316049366719281,
      1.4110860725273433,
      1.3909792050166638,
      1.3712705877808669,
      1.3519477736609062,
      1.3329991572946127,
      1.3144131447044503,
      1.2961782981894592,
      1.2782837015977198,
      1.2607189343454746,
      1.243474037675515,
      1.2265394855541163,
      1.2099062222392771,
      1.1935660208557044,
      1.1775111101950375,
      1.1617338638322392,
      1.146226840754903,
      1.1309828413386942,
      1.1159956281701187,
      1.1012597639973496,
      1.0867696677894587,
      1.072519653241535,
      1.0585040233137695,
      1.0447171343871782,
      1.031153438670293,
      1.0178075120884793,
      1.0046740709529507,
      0.9917479814501999,
      0.9790242646053444,
      0.9664980971228081,
      0.9541648106360865,
      0.942019888377679,
      0.9300591802592075,
      0.9182791165457467,
      0.9066761541486509,
      0.8952467137222873,
      0.8839872265847336,
      0.8728941650299511,
      0.8619640624523147,
      0.851193526223106,
      0.8405792448195836,
      0.830117992065811,
      0.8198071929612504,
      0.8096448378358614,
      0.7996286966344812,
      0.7897563635767115,
      0.7800253363840811,
      0.7704330702716377,
      0.7609766396233022,
      0.7516527167215926,
      0.7424581554516508,
      0.7333900322502725,
      0.7244456373643523,
      0.7156224280998393,
      0.7069179959465313,
      0.698330042961826,
      0.689856537101859,
      0.6814964588440136,
      0.6732489464413521,
      0.6651127970525531,
      0.6570865884566391,
      0.6491687609264127,
      0.6413576739046862,
      0.6336516452143387,
      0.6260489769211097,
      0.6185479731283039,
      0.6111469519043584,
      0.6038442533260773,
      0.5966382444359429,
      0.5895273220576831,
      0.5825099149649505,
      0.575584484352195,
      0.5687495245290175,
      0.5620035623993638,
      0.5553451573121236,
      0.5487729003240199,
      0.5422854139767697,
      0.5358813506107151,
      0.5295593922979099,
      0.5233182498055755,
      0.5171566620194961,
      0.5110733949681378,
      0.5050672409339437,
      0.49913701785929876,
      0.49328156844100485,
      0.48749975957689606,
      0.4817904817374786,
      0.476152648112437,
      0.47058519396664794,
      0.4650870761584793,
      0.4596572725177477,
      0.4542947810351387,
      0.44899861957719295,
      0.44376782518834645,
      0.43860145377134957,
      0.4334985791553141,
      0.4284582930794933,
      0.42347970441668764,
      0.418561938909062,
      0.41370413855390664,
      0.4089054613780084,
      0.4041650807885952,
      0.3994821852651634,
      0.39485597801183353,
      0.39028567669919684,
      0.3857705129150958,
      0.3813097319362638,
      0.376902592185497,
      0.37254836518972556,
      0.3682463351495671,
      0.36399579863042714,
      0.35979588384126393,
      0.3556456122287214,
      0.3515441101988361,
      0.3474905849341511,
      0.34348430300098987,
      0.3395245755425171,
      0.3356107476270944,
      0.33174219078721623,
      0.3279182977813561,
      0.32413847892555336,
      0.3204021592193999,
      0.3167087767407114,
      0.31305778096845693,
      0.30944863200842737,
      0.30588079961352654,
      0.3023537628224235,
      0.2988670092502238,
      0.2954200347666673,
      0.2920123432821166,
      0.28864344647596774,
      0.2853128634674434,
      0.28202030984049803,
      0.2787656475164624,
      0.275548647035978,
      0.2723690079943313,
      0.26922638210541755,
      0.2661204103453076,
      0.26305082427558024,
      0.26001735423324046,
      0.2570197064624812,
      0.254057612778122,
      0.2511307732746858,
      0.24823884713271915,
      0.24538146619718293,
      0.2425582449129359,
      0.2397687874962577,
      0.23701269290405808,
      0.23428955796294754,
      0.23159897984164438,
      0.22894052471915702,
      0.2263137189207285,
      0.2237181103997132,
      0.22115327099172843,
      0.21861879079358562,
      0.2161142741911222,
      0.2136393372670434,
      0.21119360551061847,
      0.20877671241875423,
      0.20638829869100728,
      0.20402801134167783,
      0.20169550319634946,
      0.1993904326316207,
      0.19711248007467558,
      0.19486153414222668,
      0.1926375589591148,
      0.1904404250487064,
      0.18826994106767506,
      0.18612588712758094,
      0.18400801991377141,
      0.18191607125871023,
      0.1798497571347357,
      0.1778087543746453,
      0.17579270992881088,
      0.173801284017878,
      0.17183414948467346,
      0.16989098941362668,
      0.16797149517862758,
      0.16607536500139186,
      0.16420230298332822,
      0.16235201860698173,
      0.1605242260568287,
      0.15871864413944162,
      0.15693499570810585,
      0.15517300764048414,
      0.1534324106368294,
      0.15171293915705408,
      0.15001433114578466,
      0.1483363281367605,
      0.14667867512624688,
      0.1450411203610928,
      0.14342341546120677,
      0.14182531529727135,
      0.1402465778341531,
      0.13868696426983648,
      0.1371462388850959,
      0.13562416909364367,
      0.13412052520945122,
      0.1326351142882915,
      0.13116780059847338,
      0.12971843209469183,
      0.12828683566009166,
      0.12687282461832936,
      0.125476203691353,
      0.12409677258646319,
      0.1227343283026763,
      0.12138866683991752,
      0.12005958427895969,
      0.1187468776696949,
      0.11745034550787607,
      0.116169787917008,
      0.11490500712801095,
      0.1136558074627622,
      0.11242199549005015,
      0.11120338013802852,
      0.10999977255367599,
      0.10881098618601517,
      0.10763683694726214,
      0.10647714293035676,
      0.10533172458582538,
      0.10420040455695889,
      0.10308300787223773,
      0.10197936167531242,
      0.10088929533140371,
      0.0998126403948337,
      0.098749230463623,
      0.09769890133370195,
      0.09666149083022217,
      0.09563683883649812,
      0.09462478720964503,
      0.09362517991939498,
      0.0926378590234073,
      0.0916626194560429,
      0.09069924008810971,
      0.08974752531098218,
      0.08880729778428324,
      0.08787839345826833,
      0.08696065804068219,
      0.08605394438483885,
      0.08515811092316364,
      0.08427302044586116,
      0.08339853921446348,
      0.08253453650507545,
      0.08168084768724292,
      0.08083728215346404,
      0.08000366990334944,
      0.07917985811103864,
      0.0783657066132588,
      0.07756108438149746,
      0.07676586714885864,
      0.07597993582619336,
      0.0752031754819666,
      0.0744354743187809,
      0.0736767231931699,
      0.07292681523127482,
      0.07218564529703525,
      0.07145311008745749,
      0.07072910780820384,
      0.07001353810635184,
      0.06930630200528175,
      0.06860730179064707,
      0.06791641428983304,
      0.06723349322182022,
      0.06655840707861349,
      0.06589103778174765,
      0.06523127691159328,
      0.06457902326551021,
      0.06393418110536415,
      0.06329665869664905,
      0.06266636762314344,
      0.062043222018798264,
      0.06142713798461165,
      0.060818033368964304,
      0.06021582756447256,
      0.059620441224564176,
      0.05903179619182206,
      0.058449815436983715,
      0.05787442293884553,
      0.05730554368231058,
      0.05674310351719859,
      0.05618702921118605,
      0.0556372483726555,
      0.05509368947208045,
      0.05455628232449367,
      0.05402496018978775,
      0.05349965794590872,
      0.052980309940870926,
      0.05246685043466445,
      0.05195921385265992,
      0.05145733504625672,
      0.05096114919873813,
      0.05047059206630217,
      0.04998560002423007,
      0.04950611011212757,
      0.049032059900275184,
      0.04856338763808074,
      0.048100032293762286,
      0.04764193348852246,
      0.047189031525657926,
      0.046741267342564445,
      0.04629858257346758,
      0.04586091943976115,
      0.04542822092902168,
      0.045000430614132184,
      0.04457749270386025,
      0.04415935206087967,
      0.0437459541712081,
      0.04333724523088905,
      0.04293317192342717,
      0.04253368161904223,
      0.04213872222662387,
      0.04174824223554852,
      0.0413621907819043,
      0.04098051752324172,
      0.040603172849269065,
      0.040230107522785885,
      0.039861272999812666,
      0.03949662115404536,
      0.039136104493044374,
      0.03877967608400957,
      0.038427289440613514,
      0.038078898659507684,
      0.037734458428677675,
      0.03739392393968657,
      0.037057250791887604,
      0.03672439520085826,
      0.03639531381767579,
      0.03606996379809227,
      0.0357483027338273,
      0.03543028878883887,
      0.035115880542227466,
      0.03480503706487187,
      0.03449771787398388,
      0.034193882994172954,
      0.03389349283303259,
      0.033596508322176345,
      0.03330289093295469,
      0.033012602392233054,
      0.032725598384874405,
      0.032441811846570405,
      0.03216117888109159,
      0.03188364440860891,
      0.03160915987978785,
      0.03133768145433667,
      0.0310691687419848,
      0.030803583963823947,
      0.030540891343414072,
      0.030281056588272483,
      0.030024046679498092,
      0.029769829421265444,
      0.029518373365827338,
      0.02926964775069343,
      0.029023622416589165,
      0.028780267635256356,
      0.028539554101184413,
      0.028301452915438473,
      0.028065935609453436,
      0.027832974062113727,
      0.02760254037369765,
      0.027374607157511718,
      0.027149147168452615,
      0.02692613355596818,
      0.02670553966966544,
      0.026487339257213697,
      0.026271506335994645,
      0.02605801514534764,
      0.02584684028116932,
      0.025637956599458323,
      0.025431339210163672,
      0.02522696348146978,
      0.025024805079926927,
      0.024824840002426348,
      0.02462704445034359,
      0.024431394828503292,
      0.02423786779277569,
      0.024046440330245757,
      0.023857089672164638,
      0.023669793249398705,
      0.023484528807446947,
      0.02330127431292913,
      0.023120007988053394,
      0.022940708171274523,
      0.022763353464407825,
      0.022587922827039742,
      0.022414395360389156,
      0.022242750467146674,
      0.022072967643442937,
      0.0219050266530492,
      0.02173890754333784,
      0.02157459054491483,
      0.021412056095774144,
      0.02125128487605542,
      0.021092257735342443,
      0.020934955744871715,
      0.02077936024433131,
      0.020625452644384232,
      0.020473214565465563,
      0.02032262802017094,
      0.020173675032487084,
      0.02002633789827697,
      0.019880599083884176,
      0.019736441182807724
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786041575066008,
      10.569347986585354,
      10.343795090983566,
      10.112074205512727,
      9.876588234191859,
      9.639421822419989,
      9.402417187506325,
      9.167155538583952,
      8.934992800626162,
      8.70704303803209,
      8.48416846402965,
      8.266980025022667,
      8.055846173927176,
      7.850912547495696,
      7.652130437913056,
      7.459290931650252,
      7.272057931261063,
      7.090003551895757,
      6.912640887733978,
      6.739452793441027,
      6.5699164460399455,
      6.403522242604934,
      6.23979100856607,
      6.07828746799027,
      5.9186266597129835,
      5.760486870866428,
      5.603617805525403,
      5.447836708975868,
      5.293030770001233,
      5.139162805361966,
      4.986261414049941,
      4.834422145070728,
      4.683798498278939,
      4.534603901393469,
      4.387111334524259,
      4.241643030291457,
      4.098558791094057,
      3.958243477522005,
      3.8210976335872195,
      3.687533712989959,
      3.5579515483729365,
      3.432716542701326,
      3.312151269560326,
      3.1965291682675434,
      3.086070387969052,
      2.980940293397934,
      2.881254761968909,
      2.7870765979203456,
      2.6984101454086735,
      2.6152151347704264,
      2.5374043098011088,
      2.4648340670029443,
      2.3972999965462813,
      2.334544549739281,
      2.2762800970519352,
      2.222192365526838,
      2.1719325529751083,
      2.125111877642175,
      2.081321253501049,
      2.040189218549472,
      2.001358353507224,
      1.9644828764102304,
      1.9292832978828103,
      1.8955418352018483,
      1.8630866889414919,
      1.8317791282636449,
      1.8015048356193888,
      1.7721650367612427,
      1.743679698596217,
      1.7159832577192218,
      1.6890184187890387,
      1.6627381964927719,
      1.6371045679295775,
      1.6120847755787804,
      1.5876499105717343,
      1.5637740886959666,
      1.54043384257073,
      1.5176076715366944,
      1.4952757040752507,
      1.473419444106064,
      1.452021577317956,
      1.4310658198664996,
      1.410536801798402,
      1.3904199733211309,
      1.3707015969522778,
      1.3513692413272553,
      1.3324112882262407,
      1.3138162161240183,
      1.2955725880918623,
      1.2776694504761914,
      1.2600963551729225,
      1.2428433230715434,
      1.2259008120856931,
      1.2092597820144102,
      1.19291203712405,
      1.1768497775343605,
      1.1610653559079946,
      1.1455513151882728,
      1.130300462591243,
      1.1153065926721095,
      1.100564249603075,
      1.0860678328474362,
      1.071811641406706,
      1.0577899672916087,
      1.0439971587140109,
      1.0304276614797108,
      1.0170760461197679,
      1.0039370246149562,
      0.9910054600421977,
      0.9782763703733885,
      0.9657449298804213,
      0.953406467778444,
      0.9412564671377504,
      0.9292909902948859,
      0.9175064885501697,
      0.9058993403140175,
      0.8944659119024507,
      0.8832025961556474,
      0.872105838396431,
      0.8611721533934846,
      0.8503981350935631,
      0.8397804623463124,
      0.8293159412179701,
      0.8190021661367705,
      0.8088371054749381,
      0.7988184627831356,
      0.7889437864340816,
      0.7792105425265051,
      0.7696161640114206,
      0.760157701672358,
      0.7508318148217082,
      0.7416353507372083,
      0.7325653832490581,
      0.7236192002195156,
      0.7147942572380118,
      0.7060881445834236,
      0.6974985635229274,
      0.6890236699776333,
      0.6806626271353629,
      0.6724144521238468,
      0.6642778590822656,
      0.6562513681119294,
      0.6483333794455495,
      0.6405222246831217,
      0.6328162021984991,
      0.6252136005460925,
      0.6177127143761351,
      0.6103118552075337,
      0.6030093584768526,
      0.5958035878900029,
      0.5886929379405206,
      0.5816758355297541,
      0.5747507407563825,
      0.5679161468884083,
      0.5611705798581165,
      0.5545125985609684,
      0.5479407936276756,
      0.5414537869648669,
      0.5350502306463427,
      0.5287288063557053,
      0.5224882246735623,
      0.5163272238589395,
      0.5102445695528882,
      0.5042390537303605,
      0.4983094940235128,
      0.4924547328353775,
      0.4866736367301053,
      0.48096509584900216,
      0.47532802294928855,
      0.4697613529832187,
      0.4642640425341381,
      0.4588350691382478,
      0.4534734303666141,
      0.44817814381452264,
      0.44294824616921163,
      0.43778279293559724,
      0.4326808578044276,
      0.42764153197016586,
      0.42266392395893226,
      0.4177471591303749,
      0.4128903791601893,
      0.40809274178406674,
      0.4033534199915995,
      0.3986716019420111,
      0.3940464905864236,
      0.3894773033290882,
      0.3849632714231187,
      0.3805036396104784,
      0.37609766615927526,
      0.3717446221820131,
      0.3674437914804393,
      0.3631944471916194,
      0.35899567227211077,
      0.3548465047627048,
      0.3507460872103122,
      0.34669363817406806,
      0.3426884320791833,
      0.33872978536474957,
      0.334817046752338,
      0.33094959016459086,
      0.32712680991312154,
      0.32334811733903673,
      0.31961293824570747,
      0.31592071083641743,
      0.31227088482429677,
      0.3086629202751143,
      0.30509628682909073,
      0.30157046319725367,
      0.298084936754252,
      0.2946392032009593,
      0.29123276620810257,
      0.2878651371931576,
      0.2845358487337593,
      0.2812446588738291,
      0.2779914214332443,
      0.2747758914161341,
      0.2715977571956539,
      0.26845666256773093,
      0.2653522768433364,
      0.26228435058584054,
      0.2592525930730996,
      0.25625671624418034,
      0.2532964478556503,
      0.2503714732627814,
      0.24748144040193548,
      0.24462597314622095,
      0.24180468039549943,
      0.23901716241097348,
      0.23626301510673187,
      0.2335418333570099,
      0.23085321289980498,
      0.22819670392358885,
      0.22557183010454399,
      0.22297814402908314,
      0.22041522061322552,
      0.21788265217922714,
      0.21538004470684277,
      0.21290701506785772,
      0.21046318925912938,
      0.20804820132270546,
      0.20566169212199484,
      0.20330330870765198,
      0.20097270395342487,
      0.1986695361168099,
      0.1963936167131137,
      0.19414491612389645,
      0.19192332926203445,
      0.18972867895214432,
      0.18756075158724556,
      0.18541930991204053,
      0.1833040892311525,
      0.1812148065867362,
      0.17915116769564965,
      0.17711284356600726,
      0.1750994765634364,
      0.17311072301128416,
      0.17114625327738228,
      0.1692057485430173,
      0.16728889883656395,
      0.1653954015604877,
      0.16352496015654822,
      0.16167728367412382,
      0.15985208606292553,
      0.1580490858626869,
      0.15626800577886077,
      0.15450857255062012,
      0.15277051683086834,
      0.15105357290590082,
      0.14935747876932054,
      0.14768197595232144,
      0.14602680925654776,
      0.144391727049908,
      0.1427764809688135,
      0.14118082584667088,
      0.1396045197281328,
      0.1380473238297464,
      0.13650900238288247,
      0.13498932286783888,
      0.13348811100143315,
      0.13200523141689036,
      0.1305405222519046,
      0.1290938026892018,
      0.12766487991881842,
      0.12625355349472686,
      0.12485961871896994,
      0.12348286877341094,
      0.12212309621799146,
      0.12078009396990283,
      0.11945365610428614,
      0.11814357822533354,
      0.11684965774617602,
      0.11557169428276355,
      0.11430948960303779,
      0.11306284781189549,
      0.11183157537895856,
      0.11061548105920901,
      0.10941437614617289,
      0.10822807405912625,
      0.10705639065628664,
      0.10589914415573017,
      0.10475615508340153,
      0.10362724622902919,
      0.10251224259092787,
      0.10141097141732701,
      0.1003232620900152,
      0.09924894630205075,
      0.09818785780418704,
      0.09713983244521995,
      0.09610470807926949,
      0.095082324766756,
      0.09407252451222162,
      0.09307515130814711,
      0.09209004636653974,
      0.09111700322054612,
      0.0901558018653168,
      0.08920624752758112,
      0.08826816337835161,
      0.08734138577373148,
      0.08642576061469168,
      0.08552114118773362,
      0.08462738614798629,
      0.08374435848975112,
      0.08287192467007633,
      0.08200995405396823,
      0.08115828822396624,
      0.08031673745492778,
      0.0794851299528027,
      0.0786633115908205,
      0.07785114122078698,
      0.07704848715392378,
      0.07625522487716896,
      0.0754712351376222,
      0.07469640268936509,
      0.07393061569184048,
      0.07317376497806276,
      0.07242574363174817,
      0.07168644663362767,
      0.07095577064845043,
      0.07023361396438738,
      0.06951987621609186,
      0.06881445839896466,
      0.06811726290446532,
      0.0674281827679918,
      0.066747074869216,
      0.0660738021589057,
      0.06540824256329292,
      0.0647502849495416,
      0.06409982625341881,
      0.06345676932840877,
      0.06282102154586566,
      0.06219249378502451,
      0.06157109970349288,
      0.060956755129796245,
      0.06034937771556152,
      0.0597488867918012,
      0.05915520294216576,
      0.05856824801990167,
      0.05798794497580186,
      0.057414217836298236,
      0.0568469915427322,
      0.05628619200081483,
      0.055731746085971264,
      0.05518358152843649,
      0.05464162678871776,
      0.05410581144154642,
      0.053576068580180373,
      0.05305233322146818,
      0.05253453997691905,
      0.052022623317379564,
      0.051516517827479645,
      0.051016158307608896,
      0.050521480083623505,
      0.05003241905114309,
      0.049548911598210385,
      0.049070894815860175,
      0.04859830634570753,
      0.048131084560371136,
      0.047669168539891955,
      0.04721249794927849,
      0.046761013115315775,
      0.04631465512187111,
      0.0458733656503824,
      0.04543708703590977,
      0.045005762255547754,
      0.04457933500530998,
      0.044157749579307175,
      0.04374095090717249,
      0.04332888453015182,
      0.04292149657022437,
      0.04251873381898082,
      0.04212054374954656,
      0.04172687438167585,
      0.04133767427636894,
      0.04095289261504669,
      0.04057247914748429,
      0.04019638418346599,
      0.0398245586628597,
      0.039456954075520904,
      0.03909352247858504,
      0.03873421633472986,
      0.0383789887847485,
      0.03802779342616305,
      0.03768058448522249,
      0.037337316653949744,
      0.03699794513905793,
      0.03666242565558071,
      0.03633071438722473,
      0.03600276813032241,
      0.035678544096197216,
      0.03535799996342303,
      0.03504109390961497,
      0.03472778459754141,
      0.03441803116616151,
      0.034111793302966015,
      0.033809030968716305,
      0.033509704670473706,
      0.03321377542137514,
      0.03292120470912151,
      0.03263195436133847,
      0.032345986628443534,
      0.03206325951869713,
      0.03178370958438605,
      0.03150727250734786,
      0.031233893104350912,
      0.030963522763519075,
      0.030696117727713437,
      0.03043163781018288,
      0.030170045553698045,
      0.02991130537783467,
      0.029655383398592788,
      0.029402246834430972,
      0.029151863894102934,
      0.028904203540748435,
      0.028659235408675342,
      0.028416929636854302,
      0.028177256885543567,
      0.027940188281682873,
      0.027705695318815646,
      0.027473749789963864,
      0.02724432391887755,
      0.027017390260779563,
      0.026792921680828075,
      0.026570891247709363,
      0.026351272551395303,
      0.02613403933871872,
      0.025919165684198244,
      0.02570662592017545,
      0.025496394679521753,
      0.025288446805717762,
      0.025082757451562555,
      0.024879302093095693,
      0.02467805648119734,
      0.02447899661027542,
      0.024282098795942227,
      0.024087339486746923,
      0.02389469542645349,
      0.023704143604150976,
      0.02351566129446443,
      0.02332922601942124,
      0.023144815609927833,
      0.022962408020174314,
      0.022781981457515168,
      0.02260351447847293,
      0.022426985720082785,
      0.022252374096133527,
      0.022079658813043974,
      0.021908819304380087,
      0.02173983510870781,
      0.021572686117120137,
      0.021407352367109247,
      0.02124381416162423,
      0.02108205197893898,
      0.020922046491634462,
      0.020763778630814137,
      0.020607229517648176,
      0.020452380459326527,
      0.020299213022076906,
      0.020147708990670518,
      0.01999785029709165,
      0.01984961905773033,
      0.019702997566878863,
      0.019557968348217564,
      0.01941451412442396
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786035980176685,
      10.569322239324958,
      10.343738409878084,
      10.111979839726459,
      9.876452172532032,
      9.639241800843088,
      9.402192595339981,
      9.16688682519586,
      8.934681139242072,
      8.706690135478995,
      8.483776198694134,
      8.266550209372937,
      8.055380426759706,
      7.850412208069338,
      7.651596522380579,
      7.45872402550912,
      7.271458263211056,
      7.089371106078345,
      6.911975460721182,
      6.738754066463056,
      6.56918409998014,
      6.402756065936897,
      6.238990892254692,
      6.0774533556458,
      5.917758517434341,
      5.7595851052969005,
      5.602683390165313,
      5.446871157957265,
      5.292036120494177,
      5.1381417124053375,
      4.985217251313012,
      4.833358712199417,
      4.682719957792092,
      4.533514867192109,
      4.386016807723853,
      4.240548312982725,
      4.097469383699716,
      3.9571649986746005,
      3.8200358856462864,
      3.686494712683203,
      3.5569409383683714,
      3.431739427267603,
      3.3112121369584893,
      3.195631833046746,
      3.0852179566732234,
      2.9801351438363914,
      2.880498560106801,
      2.786370060523323,
      2.697753224621697,
      2.6146072625570227,
      2.536843961585481,
      2.464318789893983,
      2.3968260295869985,
      2.3341072349490184,
      2.275874509210359,
      2.2218134980013593,
      2.171574992360414,
      2.1247701276878854,
      2.0809899309903033,
      2.039863685586718,
      2.0010341062567005,
      1.9641562484433497,
      1.9289515412472669,
      1.8952029370834005,
      1.8627391877316979,
      1.8314219791234083,
      1.8011372304514308,
      1.7717864132507384,
      1.7432897210964882,
      1.7155817784478564,
      1.6886054440321951,
      1.6623136328714685,
      1.636668346428789,
      1.6116369176816516,
      1.5871905011349718,
      1.5633032558531388,
      1.5399517440756767,
      1.5171144837956108,
      1.4947716154497122,
      1.4729046492328937,
      1.4514962730035332,
      1.4305302036200769,
      1.4099910696940299,
      1.3898643187090898,
      1.370136222374401,
      1.3507943641129365,
      1.3318271126034102,
      1.3132230189867864,
      1.2949706478290457,
      1.2770590078847355,
      1.2594776232871219,
      1.2422164937707338,
      1.225266061665766,
      1.2086173026795415,
      1.1922620522315592,
      1.1761924812218865,
      1.1604009211573045,
      1.144879899607564,
      1.1296222307913446,
      1.1146217411400308,
      1.0998729560050169,
      1.0853702553522615,
      1.071107923701243,
      1.0570802421210788,
      1.0432815498983088,
      1.02970628654312,
      1.016349017551736,
      1.003204450830558,
      0.9902674458393347,
      0.9775330179540186,
      0.9649963387577456,
      0.9526527351459985,
      0.9404977994279345,
      0.9285277527119351,
      0.9167389572731415,
      0.9051277301273611,
      0.8936903942215011,
      0.8824233122833356,
      0.8713229085454137,
      0.8603856826612573,
      0.8496082177254163,
      0.8389871849561293,
      0.8285194847656595,
      0.8182028515183289,
      0.8080351713200402,
      0.7980140916005561,
      0.78813712174466,
      0.7784017001979967,
      0.7688052411288294,
      0.7593447752315712,
      0.7500169503120366,
      0.7408186077073657,
      0.7317468187921888,
      0.722798869825436,
      0.7139722149994173,
      0.705264443622104,
      0.6966732558735843,
      0.6881971077520498,
      0.6798351953603394,
      0.6715864272469909,
      0.6634494423174583,
      0.6554227083862174,
      0.6475045894720282,
      0.6396933921381878,
      0.6319873970531753,
      0.6243848805820609,
      0.61688412882696,
      0.6094834472215074,
      0.6021811670971872,
      0.594975648895543,
      0.5878652848730915,
      0.5808485005556356,
      0.5739237546516094,
      0.5670895393692362,
      0.5603443803345807,
      0.553686835687252,
      0.5471154956329091,
      0.5406289814167271,
      0.5342259448680544,
      0.5279050672511023,
      0.5216650586983589,
      0.5155046573154028,
      0.5094226282932951,
      0.5034177632864463,
      0.4974888795259505,
      0.4916348191305715,
      0.4858544482619008,
      0.48014665671211537,
      0.47451035706431927,
      0.4689444838336709,
      0.46344799320273966,
      0.4580198622863896,
      0.4526590885388607,
      0.4473646891784004,
      0.44213570060610047,
      0.43697117776997746,
      0.43187019401073506,
      0.42683184034876503,
      0.42185522487513794,
      0.41693947273195675,
      0.41208372520813075,
      0.40728713955517654,
      0.4025488885571665,
      0.3978681601116207,
      0.393244156694687,
      0.3886760952970902,
      0.3841632068152887,
      0.3797047357378497,
      0.37529993997514444,
      0.37094809040204685,
      0.36664847047026095,
      0.3624003242143287,
      0.3582026925171659,
      0.3540546356514485,
      0.34995531154287834,
      0.34590394929638424,
      0.3418998306120873,
      0.33794227697474516,
      0.33403064042143404,
      0.3301642970932433,
      0.32634264284888176,
      0.3225650899085363,
      0.3188310645296167,
      0.3151400053888838,
      0.31149136224692714,
      0.30788459509459015,
      0.3043191734613348,
      0.3007945760620367,
      0.29731028989157726,
      0.2938658102661383,
      0.2904606405780259,
      0.28709429198041936,
      0.28376632212786773,
      0.280476525754121,
      0.27722473680816273,
      0.27401069634565567,
      0.2708340829355235,
      0.2676945334668811,
      0.2645917588196442,
      0.2615255115806387,
      0.2584954888915193,
      0.2555014072335708,
      0.2525429834845065,
      0.249619888772634,
      0.24673176116288775,
      0.24387821747211152,
      0.2410588616440268,
      0.23827329032616346,
      0.23552109690432246,
      0.2328018743664149,
      0.23011521045825348,
      0.22746064279470313,
      0.22483769929250175,
      0.22224593612214827,
      0.21968493068413814,
      0.2171542770626381,
      0.21465358220574224,
      0.21218246373522073,
      0.20974054821934038,
      0.20732746987787062,
      0.20494286966295755,
      0.2025863947263562,
      0.2002576978634927,
      0.19795650330910888,
      0.19568276750597283,
      0.19343641371945627,
      0.1912172830225576,
      0.18902516894747395,
      0.18685984039021236,
      0.18472103724839017,
      0.18260847832514027,
      0.18052186911750756,
      0.17846090753856245,
      0.17642526106245476,
      0.17441456857823273,
      0.1724284832817816,
      0.1704666732197707,
      0.16852881807476516,
      0.16661460669577147,
      0.16472373567098506,
      0.16285590796343535,
      0.1610108323306177,
      0.1591882224818357,
      0.15738779673429115,
      0.1556092776127499,
      0.1538523917925737,
      0.15211686990243523,
      0.15040244623051835,
      0.1487088586960239,
      0.14703584877420053,
      0.145383161387237,
      0.14375054476113366,
      0.14213775045754934,
      0.1405445333715374,
      0.13897065154833235,
      0.13741586618146365,
      0.13587995021661728,
      0.1343627430493707,
      0.132864100861721,
      0.1313838534950641,
      0.1299218135852127,
      0.12847778287768905,
      0.12705155634859785,
      0.12564292524791484,
      0.12425167912796745,
      0.12287760724015595,
      0.12152049944521104,
      0.12018014686357321,
      0.1188563423059253,
      0.11754888061375156,
      0.116257558675152,
      0.11498217572092681,
      0.11372253330351888,
      0.11247843542395355,
      0.11124968839317725,
      0.11003610101275188,
      0.10883748451606844,
      0.10765365238410528,
      0.10648442061411781,
      0.1053296074944342,
      0.10418903362238621,
      0.10306252182864323,
      0.1019498972235449,
      0.1008509871431419,
      0.09976562114125487,
      0.0986936309257646,
      0.09763485031496619,
      0.09658911522676561,
      0.09555626378985635,
      0.0945361360428819,
      0.09352857406647003,
      0.09253342205884624,
      0.09155052048065575,
      0.09057966213868178,
      0.08962062782558539,
      0.08867322331088587,
      0.08773727234202,
      0.08681261165186975,
      0.0858990874026266,
      0.08499655296996278,
      0.08410486720637193,
      0.0832238931926722,
      0.08235349757819953,
      0.08149354981985614,
      0.08064389839961988,
      0.07980435475965766,
      0.07897474489815792,
      0.07815491326162627,
      0.07734471772283236,
      0.07654402597190761,
      0.07575271289312553,
      0.07497065889155184,
      0.07419774861322424,
      0.0734338701106176,
      0.0726789141771871,
      0.07193277381308824,
      0.07119534406501488,
      0.07046652172426703,
      0.06974620498028694,
      0.06903429352181174,
      0.06833068846542713,
      0.06763529218116465,
      0.06694800680094028,
      0.06626870253615738,
      0.06559723579552079,
      0.06493347999359018,
      0.06427732076433607,
      0.06362865274551863,
      0.06298737719277109,
      0.06235340044647776,
      0.061726632745901275,
      0.0611069871503527,
      0.060494379126740105,
      0.05988872615236637,
      0.05928994725242494,
      0.05869796304616803,
      0.058112695347163984,
      0.05753406715621094,
      0.05696200254125031,
      0.056396426425782034,
      0.05583726470823919,
      0.05528444430858277,
      0.054737892970660666,
      0.05419753934785046,
      0.05366331291053664,
      0.053135146534501965,
      0.052612975410741544,
      0.052096734147667745,
      0.05158635739231124,
      0.05108177981162035,
      0.05058293645892073,
      0.0500897628204232,
      0.04960219484439071,
      0.04912016899739184,
      0.04864362240529709,
      0.04817249282794565,
      0.04770671874492672,
      0.047246239205041875,
      0.046790993843528014,
      0.04634092324514626,
      0.0458959685123009,
      0.04545607136652695,
      0.045021174207891694,
      0.044591220195775605,
      0.04416615300197826,
      0.043745916918906065,
      0.04333045700510187,
      0.04291971883271026,
      0.04251364869211803,
      0.042112193500145785,
      0.041715300771156434,
      0.04132291840286709,
      0.040934995131539996,
      0.04055148019500376,
      0.040172323443238345,
      0.03979747522858127,
      0.0394268865585868,
      0.03906050903524135,
      0.038698294685191856,
      0.03834019609992009,
      0.03798616640639166,
      0.03763615934507173,
      0.037290129171857714,
      0.03694803064780353,
      0.03660981900889659,
      0.0362754501028341,
      0.035944880292915635,
      0.03561806626830274,
      0.035294965310603735,
      0.03497553523181718,
      0.03465973419684555,
      0.03434752088415937,
      0.03403885453439422,
      0.033733694892601446,
      0.033432002028617444,
      0.03313373657860054,
      0.03283885959427996,
      0.03254733247324429,
      0.03225911710371244,
      0.03197417584592141,
      0.031692471438955844,
      0.03141396498901282,
      0.03113859762915665,
      0.030866304167141218,
      0.030597028797934654,
      0.030330722728038547,
      0.0300673420572976,
      0.029806846700729635,
      0.029549199252174002,
      0.029294364481843,
      0.029042308676700795,
      0.02879299941328597,
      0.02854640525583976,
      0.028302495518792364,
      0.028061240181547067,
      0.027822609793379076,
      0.027586575332512502,
      0.02735310822307803,
      0.027122180331209812,
      0.02689376390268009,
      0.026667831485954387,
      0.026444356009213094,
      0.026223310639323157,
      0.026004668839003216,
      0.02578840444089569,
      0.02557449153558477,
      0.025362904583243653,
      0.025153618291242574,
      0.024946607632777985,
      0.024741847774348073,
      0.024539314229603724,
      0.02433898280477472,
      0.024140829586694397,
      0.023944830791698422,
      0.023750963031956143,
      0.023559203118744106,
      0.02336952806390596,
      0.023181915250574864,
      0.022996342217274472,
      0.022812786840216207,
      0.022631227100369314,
      0.0224516412801901,
      0.02227400792616361,
      0.022098305806105008,
      0.021924513914995877,
      0.02175261151348597,
      0.021582578030762505,
      0.021414393161919367,
      0.021248036832907144,
      0.021083489115544068,
      0.02092073028924523,
      0.020759740935556183,
      0.020600501801509893,
      0.020442993843502576,
      0.02028719822251236,
      0.020133096298622755,
      0.019980669666123965,
      0.019829900113026704,
      0.019680769645321835,
      0.0195332604097148,
      0.01938735478939283,
      0.019243035309136614,
      0.01910028480242594
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.78603039779957,
      10.569296552370718,
      10.343681867791364,
      10.111885715344354,
      9.876316473711558,
      9.639062278534125,
      9.401968647473021,
      9.166618906905333,
      8.934370427394404,
      8.706338337195659,
      8.483385191270033,
      8.266121804071437,
      8.054916242319447,
      7.849913583621975,
      7.651064474338607,
      7.4581591327191985,
      7.270860757918931,
      7.088740974627357,
      6.911312504358947,
      6.738057969269729,
      6.568454547748446,
      6.4019928531375605,
      6.238193915259307,
      6.076622439611362,
      5.916893645496543,
      5.758686698948375,
      5.601752436652202,
      5.445909183177178,
      5.2910451699361065,
      5.137124447280557,
      4.984177048920613,
      4.83229937393804,
      4.681645646581753,
      4.532430193233268,
      4.3849267642746215,
      4.239458191866151,
      4.0963846728693,
      3.9560913013828833,
      3.818979041714918,
      3.6854607619726316,
      3.5559354904060902,
      3.430767554175876,
      3.3102782952711127,
      3.1947398069932125,
      3.0843708233533436,
      2.9793352550925003,
      2.8797475592705086,
      2.785668643024249,
      2.6971013242805957,
      2.6140042969563635,
      2.536288312244107,
      2.4638079289207018,
      2.396356213778418,
      2.333673828406149,
      2.275472557198364,
      2.2214379328418383,
      2.171220413538345,
      2.124431098177461,
      2.0806611238431927,
      2.0395404939975514,
      2.0007120659585707,
      1.9638317392148468,
      1.9286218507479196,
      1.8948660796912935,
      1.862393722941259,
      1.831066877068081,
      1.8007716949267716,
      1.771409890661659,
      1.7429018819434645,
      1.7151824793322668,
      1.688194694774968,
      1.661891342526272,
      1.6362344477202355,
      1.611191433498675,
      1.586733517003165,
      1.5628349002491424,
      1.5394721741646828,
      1.516623875790258,
      1.4942701570017551,
      1.472392534469072,
      1.4509736989322641,
      1.4299973674478128,
      1.4094481669957708,
      1.389311542397304,
      1.3695737741594622,
      1.3502224610172247,
      1.3312459581592329,
      1.3126328548693755,
      1.294371763289593,
      1.2764516511692139,
      1.2588620123918162,
      1.2415928244298269,
      1.2246345125214981,
      1.2079780706450656,
      1.1916153599585968,
      1.175538523140292,
      1.1597398705742978,
      1.1442119139838038,
      1.1289474742197643,
      1.1139404092712992,
      1.0991852260120196,
      1.084676284592702,
      1.0704078551395815,
      1.0563742083261622,
      1.0425696752131277,
      1.0289886884949802,
      1.0156258085204761,
      1.0024757388064567,
      0.9895333354902128,
      0.9767936108324868,
      0.9642517341232197,
      0.951903030180641,
      0.9397432717369496,
      0.9277687437068797,
      0.9159757264790594,
      0.9043604804750052,
      0.8929192891821435,
      0.8816484874285279,
      0.8705444798432775,
      0.8596037522378237,
      0.8488228776621349,
      0.8381985201992499,
      0.8277276778980452,
      0.8174082215340058,
      0.8072379556414254,
      0.7972144717115525,
      0.7873352398624118,
      0.777597671621096,
      0.7679991622914453,
      0.7585367234624781,
      0.7492069918825583,
      0.7400068027374278,
      0.7309332249142675,
      0.7219835427824779,
      0.7131552091310374,
      0.7044458119086586,
      0.6958531002749017,
      0.6873758054816249,
      0.6790131060672603,
      0.6707638099563346,
      0.6626264862564014,
      0.654599553961693,
      0.6466813433502949,
      0.6388701374358994,
      0.6311642007555534,
      0.6235617980819449,
      0.6160612077092663,
      0.6086607294912216,
      0.601358690670521,
      0.5941534491483209,
      0.5870433951822599,
      0.5800269524967718,
      0.5731025788714832,
      0.5662687656346447,
      0.5595240376231722,
      0.552866952473052,
      0.5462960997315519,
      0.5398101002548404,
      0.5334076054407694,
      0.5270872962248371,
      0.5208478824049931,
      0.5146881017145919,
      0.5086067191315907,
      0.5026025258689015,
      0.4966743388118048,
      0.4908209997206356,
      0.4850413744816872,
      0.47933435248608036,
      0.47369884603783907,
      0.46813378941324285,
      0.4626381384127042,
      0.45721086977271136,
      0.4518509804905796,
      0.44655748739614765,
      0.4413294266157878,
      0.43616585295678645,
      0.43106583934151443,
      0.42602847636899127,
      0.42105287190437335,
      0.41613815064697735,
      0.41128345355202534,
      0.4064879374632755,
      0.40175077488179145,
      0.39707115326213344,
      0.3924482748290146,
      0.3878813561782759,
      0.38336962789210416,
      0.3789123342213001,
      0.37450873260553297,
      0.3701580935931003,
      0.36585970042339916,
      0.36161275510693447,
      0.35741627446141383,
      0.35326933961623375,
      0.34917112256779453,
      0.3451208621239688,
      0.34111784686656427,
      0.33716140284628476,
      0.3332508853063903,
      0.32938567257411655,
      0.3255651618710813,
      0.32178876612514185,
      0.3180559120409979,
      0.31436603853265693,
      0.31071859546301495,
      0.3071130428015187,
      0.3035488499049402,
      0.3000254950598814,
      0.29654246518451793,
      0.29309925547331933,
      0.2896953690096741,
      0.28633031651140733,
      0.28300368063924725,
      0.2797152926040697,
      0.27646496642174,
      0.2732524294907404,
      0.2700773506872078,
      0.2669393833606903,
      0.2638382687308419,
      0.260773737558654,
      0.25774548101127026,
      0.2547532234313295,
      0.2517966669618192,
      0.2488754704522358,
      0.24598926319992218,
      0.24313765600597387,
      0.2403202482534903,
      0.2375366335044877,
      0.2347864029994509,
      0.23206914807922205,
      0.22938444775462913,
      0.22673182786952958,
      0.22411082139421817,
      0.22152098800646844,
      0.21896190759076498,
      0.2164331757511278,
      0.2139344005684376,
      0.2114652004133345,
      0.20902520222078683,
      0.20661404036052397,
      0.20423135599771466,
      0.20187679633053432,
      0.199550034900293,
      0.1972509596797863,
      0.19497952801840393,
      0.19273560276215354,
      0.19051898727534808,
      0.18832945754769703,
      0.18616675939093574,
      0.18403061428478917,
      0.18192072819902785,
      0.17983679794543597,
      0.17777851519872515,
      0.17574554557635252,
      0.1737375254207974,
      0.17175410508881064,
      0.16979495074234044,
      0.167859740725006,
      0.1659481629211679,
      0.16405991333709855,
      0.16219469447288098,
      0.1603522146120366,
      0.15853218727552232,
      0.15673433065357276,
      0.15495836714704467,
      0.1532040234366825,
      0.151471030005022,
      0.14975912110251646,
      0.14806803466085494,
      0.14639751214747396,
      0.1447472984623272,
      0.14311714183210952,
      0.1415067938990358,
      0.13991600954644196,
      0.13834454678499492,
      0.136792185315312,
      0.135258776369185,
      0.13374416612940046,
      0.132248176732207,
      0.13077061464001924,
      0.12931127641250365,
      0.12786995258655848,
      0.12644643057702853,
      0.12504049632259512,
      0.12365193578448813,
      0.12228053571184773,
      0.12092608429387032,
      0.11958837144698604,
      0.11826718922156229,
      0.11696233198633979,
      0.11567359637214461,
      0.1144007814074637,
      0.11314368847101937,
      0.11190212152580024,
      0.11067588697976408,
      0.1094647936442248,
      0.10826865278914392,
      0.10708727800330892,
      0.10592048531694324,
      0.10476809308432938,
      0.10362992195748606,
      0.10250579490547855,
      0.10139553721679377,
      0.10029897624862581,
      0.09921594155862341,
      0.09814626503185879,
      0.09708978067861934,
      0.09604632447143113,
      0.09501573447546256,
      0.09399785086511252,
      0.09299251590388734,
      0.09199957377863785,
      0.091018864750776,
      0.09005018125757726,
      0.08909330467036432,
      0.08814804123131435,
      0.08721421499294024,
      0.08629166285809421,
      0.08538023126627892,
      0.08447977375603932,
      0.08359014932103505,
      0.08271122117779123,
      0.08184285608099,
      0.08098492358814015,
      0.08013727968117185,
      0.0792997369142804,
      0.07847211896159668,
      0.07765426873490909,
      0.07684604294838326,
      0.07604730846056798,
      0.07525793970499747,
      0.07447781670027409,
      0.07370682390526023,
      0.07294484930744251,
      0.07219178351219335,
      0.07144751954175817,
      0.07071195245230232,
      0.06998497897460017,
      0.06926649740927912,
      0.06855640753735646,
      0.06785461059032517,
      0.06716100897121148,
      0.06647550635237126,
      0.06579799017953217,
      0.0651283178483456,
      0.06446635708025149,
      0.06381198943639312,
      0.0631651067073391,
      0.06252560828736888,
      0.061893399124882925,
      0.061268388267039876,
      0.0606504881645154,
      0.06003961396046019,
      0.059435682790228206,
      0.05883861358124718,
      0.05824832677107771,
      0.05766474402157555,
      0.05708778835439325,
      0.05651738383667728,
      0.055953455477778385,
      0.05539592921503538,
      0.054844732024288065,
      0.05429979174171417,
      0.05376103702530892,
      0.0532283974281085,
      0.052701805394999995,
      0.052181196102976744,
      0.05166650453764083,
      0.05115766543819977,
      0.050654613705632526,
      0.05015728446139054,
      0.04966561322772417,
      0.049179535982358344,
      0.04869898935799711,
      0.048223910596217036,
      0.04775423745918498,
      0.04728990849006612,
      0.04683086279912867,
      0.046377040304094556,
      0.04592838146419297,
      0.04548482746182217,
      0.045046320183457486,
      0.04461280199963433,
      0.044184216103385444,
      0.04376050630476633,
      0.04334161706325775,
      0.04292749335063596,
      0.04251808086278239,
      0.04211332595731038,
      0.041713175625788974,
      0.041317577325199265,
      0.040926479269062226,
      0.04053983012059589,
      0.040157579167513224,
      0.03977967632785129,
      0.03940607213588054,
      0.03903671760920379,
      0.03867156436640747,
      0.038310564466457794,
      0.037953670682995155,
      0.03760083623063971,
      0.03725201483049877,
      0.0369071607902038,
      0.036566228958984225,
      0.036229174672063505,
      0.03589595376709983,
      0.0355665226501955,
      0.0352408381254725,
      0.03491885753797887,
      0.03460053866735588,
      0.0342858398394889,
      0.03397471988452601,
      0.03366713796320974,
      0.03336305385247855,
      0.03306242772451023,
      0.032765220242279694,
      0.03247139252339599,
      0.03218090613115621,
      0.03189372302592168,
      0.03160980560726617,
      0.031329116719514716,
      0.031051619569859735,
      0.03077727787079323,
      0.030506038657548317,
      0.03023783633832026,
      0.029972614196203038,
      0.029710322787765357,
      0.029450917959254246,
      0.029194359443088968,
      0.028940609889176325,
      0.028689634254542885,
      0.02844139905555991,
      0.028195872077886354,
      0.027953022110380484,
      0.027712818816617524,
      0.02747523251758013,
      0.027240234008554562,
      0.02700779468021688,
      0.026777886460684373,
      0.026550481492521417,
      0.026325552166779443,
      0.026103071482339597,
      0.025883012787524303,
      0.025665349592977903,
      0.025450055719238616,
      0.025237105330965428,
      0.025026472937447124,
      0.024818133273742802,
      0.024612061319259252,
      0.02440823237160759,
      0.024206622076974348,
      0.02400720612794101,
      0.023809960750422694,
      0.023614862320872218,
      0.023421887417026273,
      0.023231012859574098,
      0.02304221582175651,
      0.022855473663511115,
      0.02267076400507919,
      0.022488064699621616,
      0.02230735383550665,
      0.022128609831707148,
      0.021951811238724344,
      0.02177693690262493,
      0.021603965853422266,
      0.02143287735009248,
      0.021263650958444073,
      0.021096266375412426,
      0.02093070355952388,
      0.020766942633139454,
      0.020604963941353974,
      0.02044474809731819,
      0.02028627596361589,
      0.020129528508702085,
      0.019974486967708118,
      0.01982113274337635,
      0.01966944750496106,
      0.019519413065393038,
      0.01937101141177238,
      0.01922422485107682,
      0.019079035743452585,
      0.01893542678937105,
      0.01879338078994275
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786024829358814,
      10.569270929789493,
      10.343625470816207,
      10.111791841994586,
      9.876181150636587,
      9.638883272164055,
      9.401745366437883,
      9.16635181300906,
      8.93406070261022,
      8.705987691227703,
      8.482995502194127,
      8.265694883084224,
      8.054453706926571,
      7.8494167720839405,
      7.650534402018339,
      7.4575963791352065,
      7.2702655570561365,
      7.088113315783259,
      6.910652190821711,
      6.737364690640338,
      6.5677279943354865,
      6.401232823872575,
      6.237400311864691,
      6.075795087456929,
      5.916032533489626,
      5.757792253454929,
      5.600825647963065,
      5.444951578804585,
      5.290058795712013,
      5.1361119629122145,
      4.98314182888976,
      4.83124521432753,
      4.680576704090663,
      4.531351069583844,
      4.383842441019028,
      4.238373945581078,
      4.09530597201708,
      3.9550237279585843,
      3.8179284225492025,
      3.6844331175106877,
      3.554936398889741,
      3.4298020563552027,
      3.3093508173735744,
      3.1938541042641098,
      3.0835299465930595,
      2.978541531866689,
      2.8790026116136995,
      2.7849731480163826,
      2.69645519966829,
      2.613406946689245,
      2.535738104403328,
      2.4633023272943797,
      2.395891476325773,
      2.3332453245689573,
      2.2750752588274916,
      2.2210666969529833,
      2.1708698595448124,
      2.124095838034533,
      2.0803358792570177,
      2.039220701110877,
      2.0003933026919762,
      1.9635104206071896,
      1.9282952920345737,
      1.8945323166637484,
      1.8620513310239506,
      1.8307148391130534,
      1.8004092251467354,
      1.7710364440116932,
      1.742517134979895,
      1.7147862928164639,
      1.6877870814963294,
      1.6614722592851898,
      1.6358038155904067,
      1.6107492667297394,
      1.5862798948892072,
      1.5623699470389305,
      1.5389960441389765,
      1.516136742908622,
      1.493772207547956,
      1.4718839618316886,
      1.4504546995017304,
      1.429468137931552,
      1.4089089028928015,
      1.388762436406507,
      1.3690150279440245,
      1.3496542916160308,
      1.3306685694381901,
      1.3120464834051393,
      1.2937766997522315,
      1.2758481447203118,
      1.2582502818473553,
      1.2409730661965663,
      1.224006905817985,
      1.2073428350981676,
      1.190972711866332,
      1.1748886520341681,
      1.1590829462082306,
      1.1435480910960794,
      1.1282769149568717,
      1.1132633079060341,
      1.0985017589049804,
      1.0839866089037098,
      1.0697121136379264,
      1.0556725324712195,
      1.0418621885923092,
      1.0282755083843063,
      1.0149070469406676,
      1.0017515039905687,
      0.9888037318816837,
      0.9760587401045978,
      0.963511695491237,
      0.9511579634430735,
      0.9389935068326831,
      0.9270145895625324,
      0.9152174209610432,
      0.9035982116084931,
      0.8921532099625882,
      0.8808787262883289,
      0.8697711476579679,
      0.8588269474125543,
      0.8480426899692733,
      0.8374150331714085,
      0.8269411618467958,
      0.8166189644396739,
      0.8064461740318715,
      0.7964203325574121,
      0.7865388759378172,
      0.7767991917906698,
      0.7671986584765483,
      0.7577342707425074,
      0.7484026552630118,
      0.739200641541766,
      0.7301252961382652,
      0.7211739016123238,
      0.7123439095526909,
      0.7036329068765584,
      0.6950387970292033,
      0.6865605346321109,
      0.6781971747286134,
      0.6699474405088651,
      0.6618098422039855,
      0.6537827583126138,
      0.6458644907176196,
      0.638053302791006,
      0.6303474453180133,
      0.6227451735081384,
      0.6152447588202115,
      0.6078444965404515,
      0.6005427104969377,
      0.5933377560317402,
      0.5862280217352683,
      0.5792119301633409,
      0.572287938007939,
      0.565454535835815,
      0.5587102477846869,
      0.5520536309473215,
      0.5454832745014156,
      0.5389977988458365,
      0.5325958549784202,
      0.5262761233324055,
      0.5200373133994155,
      0.513878162694008,
      0.5077974355988943,
      0.5017939231367498,
      0.4958664419185067,
      0.4900138334164639,
      0.48423496313278663,
      0.47852872017587034,
      0.4728940163574733,
      0.4673297855764342,
      0.4618349833648256,
      0.45640858596342826,
      0.4510495902007144,
      0.44575701257575034,
      0.4405298887679166,
      0.4353672733213238,
      0.4302682386920301,
      0.42523187516030714,
      0.4202572902624967,
      0.41534360835409945,
      0.41048997017947675,
      0.4056955322456411,
      0.40095946656058074,
      0.39628096035700905,
      0.39165921542149595,
      0.3870934479448036,
      0.38258288831077225,
      0.37812678031618735,
      0.3737243811448689,
      0.3693749610032461,
      0.36507780264791523,
      0.3608320538291398,
      0.3566367248239265,
      0.35249091555688083,
      0.34839381134489483,
      0.3443446602355164,
      0.340342757030825,
      0.3363874320583557,
      0.33247804332755826,
      0.32861397103970547,
      0.32479461372101365,
      0.3210193851642141,
      0.3172877125636146,
      0.3135990349092888,
      0.30995280204287584,
      0.30634847390223896,
      0.30278551971101114,
      0.2992634175697357,
      0.2957816541294496,
      0.2923397242845194,
      0.2889371308460659,
      0.2855733844244191,
      0.2822481074092225,
      0.278961147036202,
      0.2757122993450534,
      0.27250127899747,
      0.2693277458447986,
      0.26619138182382535,
      0.26309194367640043,
      0.26002914141505046,
      0.257002669576522,
      0.25401225088218027,
      0.2510575730455044,
      0.2481382836006449,
      0.24525400400547123,
      0.24240433924150417,
      0.23958888479289359,
      0.23680723127262765,
      0.23405896773175747,
      0.2313436840078922,
      0.2286609466747115,
      0.22601027527601544,
      0.22339120746767277,
      0.22080330608372375,
      0.21824615328351024,
      0.21571934609697221,
      0.21322249356827125,
      0.21075521464721553,
      0.20831713666862348,
      0.2059078943121892,
      0.20352712879788623,
      0.20117448726274204,
      0.19884977355591113,
      0.19655295407283888,
      0.1942839182635408,
      0.19204248408949148,
      0.1898284346545968,
      0.18764152351620322,
      0.1854814761244698,
      0.18334799977246244,
      0.18124079073479146,
      0.17915953894017894,
      0.17710393139291736,
      0.1750736332944637,
      0.17306827916210787,
      0.1710875168745238,
      0.16913101087666718,
      0.1671984382687663,
      0.16528948621079528,
      0.16340385001021887,
      0.16154123180860258,
      0.1597013396273793,
      0.15788388670565595,
      0.1560885910192439,
      0.1543151749924069,
      0.15256336513377997,
      0.15083289202163702,
      0.1491234898306065,
      0.14743489644781543,
      0.14576685337740278,
      0.14411910546517867,
      0.14249140100850421,
      0.14088349152013566,
      0.13929513184562822,
      0.13772611418985514,
      0.1361762924849504,
      0.1346455040872956,
      0.13313356407866472,
      0.13164027312946425,
      0.13016542293115885,
      0.12870879982367903,
      0.12727018731240758,
      0.1258493679486852,
      0.12444612447335918,
      0.12306024047582759,
      0.12169150116878061,
      0.12033969367154418,
      0.11900460734991916,
      0.11768603379426515,
      0.11638376698254516,
      0.11509760331142738,
      0.11382734175599436,
      0.11257278382178564,
      0.11133373342268334,
      0.11010999701489402,
      0.1089013834213722,
      0.10770770397610091,
      0.10652877240957105,
      0.10536440471723267,
      0.10421441935989664,
      0.10307863715467731,
      0.10195688114861094,
      0.10084897658265088,
      0.09975475099695821,
      0.09867403412771862,
      0.09760665783740605,
      0.09655245617304042,
      0.09551126529859673,
      0.09448292335232411,
      0.09346727065440516,
      0.09246414948344747,
      0.09147340415893394,
      0.09049487493815314,
      0.08952835451172958,
      0.08857362453996148,
      0.08763049155882534,
      0.08669877975498994,
      0.0857783262479547,
      0.08486897751619601,
      0.08397058729051005,
      0.08308301457322395,
      0.08220612275613443,
      0.08133977865288194,
      0.08048385192930366,
      0.07963820386653189,
      0.0788026520916593,
      0.07797701736841291,
      0.07716114060121539,
      0.07635487710157003,
      0.07555809284496721,
      0.07477066161812654,
      0.07399246317279062,
      0.07322338164385525,
      0.07246330479567772,
      0.07171212317079544,
      0.07096972971334664,
      0.07023601943369628,
      0.0695108891411113,
      0.06879423715134243,
      0.06808596327375877,
      0.06738596869216197,
      0.06669415593704227,
      0.06601042883752735,
      0.06533468751538214,
      0.06466679932075005,
      0.06400662531055684,
      0.06335404249452127,
      0.06270893941032016,
      0.062071213058686125,
      0.0614407667715748,
      0.060817508537242604,
      0.06020135014488764,
      0.059592206086337474,
      0.058989993142385455,
      0.05839463008927715,
      0.0578060371295971,
      0.057224135961896766,
      0.05664884948027889,
      0.05608010170802541,
      0.05551781774145601,
      0.054961923675869405,
      0.05441234637611135,
      0.05386901375271848,
      0.05333185449802109,
      0.05280079828014578,
      0.05227577724102038,
      0.05175672661776491,
      0.05124358153311624,
      0.05073627687104372,
      0.0502347476090136,
      0.049738928988269995,
      0.049248756688314896,
      0.048764166764456975,
      0.04828509593667339,
      0.047811481448339445,
      0.04734326127698884,
      0.046880373981880594,
      0.04642275876073201,
      0.045970355588398765,
      0.04552310499251836,
      0.04508094818787915,
      0.044643827066702,
      0.04421168426826496,
      0.04378446305710586,
      0.04336210725143586,
      0.042944561322203575,
      0.04253177040564033,
      0.04212368032477771,
      0.041720237425771876,
      0.041321388651906474,
      0.04092708165148065,
      0.04053726464984604,
      0.040151886397012504,
      0.03977089622193824,
      0.03939424417535737,
      0.039021880710647786,
      0.03865375699928856,
      0.03828982475626932,
      0.03793003611498717,
      0.03757434379677834,
      0.03722270116796704,
      0.036875062016208486,
      0.03653138073272771,
      0.03619161216912977,
      0.035855711731244286,
      0.03552363536083167,
      0.03519533948113735,
      0.03487078097597682,
      0.034549917243891254,
      0.0342327061620892,
      0.033919106134783265,
      0.03360907601973554,
      0.033302575142197775,
      0.032999563298180684,
      0.032700000756248,
      0.03240384821345361,
      0.03211106681969561,
      0.031821618102213366,
      0.03153546410434693,
      0.031252567310298775,
      0.03097289060338797,
      0.030696397247861943,
      0.03042305100938115,
      0.030152816082975157,
      0.029885647557929662,
      0.029621481890145105,
      0.029360260621406925,
      0.029101933187339613,
      0.02884645476366105,
      0.028593784767854718,
      0.02834388573671267,
      0.028096722480003833,
      0.027852261662902437,
      0.027610471360767965,
      0.027371320581063435,
      0.027134779208762873,
      0.02690081783762498,
      0.02666940769965136,
      0.026440520456879404,
      0.026214128214617573,
      0.02599020355200926,
      0.025768719427413513,
      0.02554964909484882,
      0.025332966046701093,
      0.02511864420274056,
      0.024906657858765422,
      0.024696981503185722,
      0.024489589863419533,
      0.0242844580581614,
      0.02408156143303417,
      0.023880875632682458,
      0.023682376565571327,
      0.023486040398843173,
      0.02329184353173654,
      0.023099762598318183,
      0.02290977453508337,
      0.022721856547793552,
      0.022535986053901592,
      0.022352140791389613,
      0.022170298607259768,
      0.02199043768891566,
      0.02181253643096446,
      0.021636573503170605,
      0.02146252775081383,
      0.021290378302746465,
      0.021120104483182345,
      0.020951685813327226,
      0.02078510210286337,
      0.02062033338348412,
      0.02045735984966073,
      0.020296161927411557,
      0.020136720280149095,
      0.019979015771069523,
      0.0198230294390434,
      0.019668742545085462,
      0.01951613658155703,
      0.019365193142401683,
      0.019215894213493526,
      0.019068221853903472,
      0.018922158341919418,
      0.018777686207242114,
      0.01863478806711466,
      0.01849344674892691
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786019274345794,
      10.569245370768238,
      10.343569221854306,
      10.111698229236882,
      9.876046220815928,
      9.638704806010857,
      9.401522783557263,
      9.166085584421376,
      8.933752014885812,
      8.705638256126758,
      8.482607199141766,
      8.265269523213544,
      8.053992906880431,
      7.848921870287891,
      7.650006415393524,
      7.457035888837616,
      7.269672798631074,
      7.087488280829517,
      6.909994685831012,
      6.736674407761853,
      6.567004629715735,
      6.400476182187203,
      6.236610300095891,
      6.074971535476692,
      5.9151754345861765,
      5.756902037744473,
      5.599903309265352,
      5.443998646525935,
      5.2890773151534525,
      5.135104591944099,
      4.982111938184135,
      4.830196593632576,
      4.679513502409364,
      4.530277877297419,
      4.382764224886392,
      4.237295963116566,
      4.0942336710197225,
      3.9539626659786324,
      3.816884399202006,
      3.683412122563357,
      3.5539439798338175,
      3.428843223436093,
      3.3084299664175805,
      3.1929749620256054,
      3.0826955376550704,
      2.9777541599130255,
      2.878263878246958,
      2.7842837121822988,
      2.6958149655002117,
      2.612815308031192,
      2.535193390031776,
      2.462801998163985,
      2.3954317919725763,
      2.332821665129314,
      2.274682600298924,
      2.220699905505425,
      2.1705235755119703,
      2.1237646922642632,
      2.0800146172764897,
      2.0389047812665217,
      2.000078327812742,
      1.9631928272009942,
      1.927972412357605,
      1.8942021993748241,
      1.8617125624019082,
      1.830366411043651,
      1.800050359433425,
      1.770666601454468,
      1.742135996927755,
      1.7143937240111868,
      1.6873830975278492,
      1.6610568547255908,
      1.6353769016433144,
      1.610310851195966,
      1.5858300528154565,
      1.5619088000666748,
      1.538523745426297,
      1.5156534659599588,
      1.4932781380932105,
      1.4713792927052078,
      1.4499396267393785,
      1.4289428581333812,
      1.4083736112365248,
      1.388217325866301,
      1.3684603006961396,
      1.3490901643792528,
      1.330095246092221,
      1.311464177423817,
      1.293185690298635,
      1.2752486925248439,
      1.25764261418058,
      1.2403573852683099,
      1.2233833953242106,
      1.2067117172605164,
      1.1903342046115362,
      1.1742429459639343,
      1.1584302119435477,
      1.1428884843948122,
      1.1276105989847114,
      1.112590477649572,
      1.0978225906241277,
      1.083301259503082,
      1.0690207257294742,
      1.0549752380124748,
      1.041159110950605,
      1.0275667647088564,
      1.0141927492679266,
      1.0010317603033836,
      0.9880786469700369,
      0.9753284159230421,
      0.9627762314194017,
      0.9504175735378646,
      0.9382485528239067,
      0.9262653453993397,
      0.9144640998623188,
      0.9028409843786753,
      0.891392217626895,
      0.8801140888007023,
      0.8690029705301917,
      0.8580553255646904,
      0.8472677106414259,
      0.8366367780545134,
      0.8261598997384025,
      0.8158349820777754,
      0.805659687121783,
      0.7956315075617638,
      0.7857478448237581,
      0.77600606277034,
      0.7664035231735378,
      0.7569372051553522,
      0.7476037253629096,
      0.738399907436596,
      0.7293228153256395,
      0.7203697295734213,
      0.711538100106539,
      0.702825512855152,
      0.6942300823961188,
      0.6857509104772954,
      0.6773869348708023,
      0.6691367982429558,
      0.6609989550376318,
      0.6529717448522806,
      0.6450534427026076,
      0.6372422930228782,
      0.6295365334659622,
      0.6219344102144634,
      0.6144341881689067,
      0.6070341581933757,
      0.5997326409702567,
      0.5925279895234534,
      0.585418590633454,
      0.578402865491092,
      0.571479269832406,
      0.5646462934891616,
      0.5579024600515341,
      0.5512463260659407,
      0.5446764802590296,
      0.5381915426920572,
      0.5317901638771413,
      0.5254710241920784,
      0.5192328325552837,
      0.5130743260203441,
      0.506994268766062,
      0.500991451481124,
      0.49506469028066546,
      0.48921282627782336,
      0.48343472474653776,
      0.47772927436122853,
      0.47209538672022233,
      0.46653199536815926,
      0.4610380553616692,
      0.4556125428479182,
      0.4502544542517348,
      0.4449628056073487,
      0.439736632265921,
      0.43457498824390894,
      0.42947694577353523,
      0.42444159493028893,
      0.4194680428310785,
      0.41455541337072366,
      0.409702846887713,
      0.4049094996346972,
      0.400174543309109,
      0.3954971647214532,
      0.3908765653993432,
      0.3863119612299978,
      0.38180258219415886,
      0.37734767168294386,
      0.37294648662006746,
      0.3685982968389622,
      0.364302380995118,
      0.3600578347934246,
      0.35586366588470375,
      0.3517189925093247,
      0.3476230126023425,
      0.34357498295546485,
      0.33957420446600717,
      0.33562001153814175,
      0.3317117649896131,
      0.32784884679843534,
      0.32403065652024476,
      0.3202566086384161,
      0.3165261307759719,
      0.3128386621273808,
      0.3091936525895987,
      0.30559056196637735,
      0.30202885925740663,
      0.2985080224627986,
      0.2950275380001815,
      0.2915869004330947,
      0.28818561228102857,
      0.28482318375930116,
      0.28149928484179,
      0.2782137684458166,
      0.27496641352099993,
      0.27175692253672795,
      0.26858494703625674,
      0.2654502085791524,
      0.2623524645003399,
      0.2592914055514687,
      0.2562667333874786,
      0.2532781670442135,
      0.2503253791233893,
      0.24740800646251307,
      0.24452566291052122,
      0.24167794817259003,
      0.23886445385173116,
      0.23608476790632557,
      0.23333847754085876,
      0.23062517103726712,
      0.22794439974185904,
      0.22529568056244023,
      0.2226785556869628,
      0.22009259105663737,
      0.21753737082878827,
      0.2150124933228752,
      0.2125175685240997,
      0.21005221597712664,
      0.20761606336851052,
      0.20520874557589971,
      0.2028299038755845,
      0.20047924939314052,
      0.19815672893240635,
      0.19586226353819175,
      0.19359568954681516,
      0.19135679894372828,
      0.18914535413087946,
      0.1869610856636681,
      0.18480370302873175,
      0.18267290253398083,
      0.1805683727629164,
      0.1784897983392335,
      0.17643686255104765,
      0.17440923137040693,
      0.17240653809858955,
      0.17042842833584387,
      0.1684745648998235,
      0.16654462371668088,
      0.1646382911248179,
      0.16275526190134798,
      0.1608952378570608,
      0.15905792681010772,
      0.1572430417505238,
      0.15545030059957332,
      0.15367942567231951,
      0.1519301434525013,
      0.1502021843480161,
      0.14849528252813848,
      0.14680917584819606,
      0.14514360574711743,
      0.1434983171682797,
      0.1418730583002848,
      0.1402675807727745,
      0.1386816903755963,
      0.13711524064291578,
      0.13556806059263166,
      0.13403995859850065,
      0.13253072980916777,
      0.13104016119861472,
      0.12956803496700647,
      0.12811413091621401,
      0.1266782280314375,
      0.12526010577777175,
      0.12385954476695228,
      0.12247632723598913,
      0.12111023749830664,
      0.11976106201325061,
      0.11842858969138755,
      0.11711261191475303,
      0.11581292245077682,
      0.11452931771125416,
      0.11326159663183628,
      0.1120095606172797,
      0.11077301368572999,
      0.10955176232289568,
      0.1083456154782046,
      0.10715438453095913,
      0.1059778832394844,
      0.10481592780021436,
      0.10366833674322454,
      0.10253493086130419,
      0.10141553333152081,
      0.10030996951395997,
      0.09921806706992249,
      0.09813965575741002,
      0.09707456760909602,
      0.096022636768445,
      0.09498369938422975,
      0.09395759376646846,
      0.0929441603019864,
      0.09194324139641515,
      0.09095468138501707,
      0.08997832094491232,
      0.08901395330583219,
      0.08806136024120495,
      0.08712034831813381,
      0.0861907418184758,
      0.08527237790680893,
      0.08436510327930502,
      0.0834687717139193,
      0.08258324231589322,
      0.08170837851491912,
      0.08084404725335048,
      0.0799901182610787,
      0.07914645736151514,
      0.07831288891044683,
      0.07748923053393676,
      0.07667532087630415,
      0.07587101379298446,
      0.07507617420706823,
      0.0742906751921014,
      0.07351439590328696,
      0.07274722027028296,
      0.07198903578110147,
      0.0712397329383312,
      0.07049920463742786,
      0.06976734585005787,
      0.06904405338528048,
      0.06832922561930908,
      0.06762276244121491,
      0.06692456512160551,
      0.0662345362182361,
      0.0655525795753298,
      0.06487860020747609,
      0.0642124821966055,
      0.06355408446711315,
      0.06290327835715806,
      0.06225994844122594,
      0.06162398896636215,
      0.060995301219461666,
      0.06037379193683768,
      0.05975937190627017,
      0.059151954988863144,
      0.058551457496027144,
      0.05795779785909254,
      0.05737089617675193,
      0.05679067401676933,
      0.05621705424891872,
      0.05564996080624727,
      0.055089318787956525,
      0.054535054267487844,
      0.053987094276131034,
      0.05344536673932791,
      0.05290980044198137,
      0.052380325076274194,
      0.051856872584110904,
      0.05133937806689603,
      0.05082777684576873,
      0.05032200397869811,
      0.04982199463783711,
      0.0493276840800645,
      0.04883900806980643,
      0.048355902800820506,
      0.04787830503927843,
      0.04740615224671175,
      0.04693938238753029,
      0.04647793411059353,
      0.046021746783983644,
      0.045570760354343494,
      0.04512491545012949,
      0.04468415344303279,
      0.04424841626412558,
      0.043817646444776426,
      0.04339178731255014,
      0.04297078282759994,
      0.04255457749471539,
      0.04214311658580789,
      0.04173634589788473,
      0.041334211859730005,
      0.04093666165065019,
      0.040543642905290424,
      0.04015510387841207,
      0.03977099345593515,
      0.03939126102874721,
      0.03901585664190131,
      0.038644730879053076,
      0.038277834892148296,
      0.037915120433534406,
      0.03755653977551283,
      0.03720204579126592,
      0.036851591821601255,
      0.03650513179183644,
      0.03616262016520906,
      0.035824011831881226,
      0.03548926222524509,
      0.035158327383202376,
      0.03483116374763078,
      0.034507728267717475,
      0.034187978495775574,
      0.03387187237029138,
      0.03355936824876829,
      0.033250425107461415,
      0.0329450024000675,
      0.032643059902344604,
      0.03234455791428255,
      0.0320494571874569,
      0.03175771895280058,
      0.031469304861183434,
      0.031184176976548572,
      0.030902297834286413,
      0.030623630393175637,
      0.030348138046280972,
      0.03007578457954123,
      0.029806534135046758,
      0.029540351391892664,
      0.02927719793419248,
      0.02901701579680631,
      0.02875974426384509,
      0.028505331272516844,
      0.028253730928191105,
      0.028004902094266353,
      0.027758806930177155,
      0.027515410253695666,
      0.02727467869719166,
      0.027036580360704308,
      0.0268010844580633,
      0.026568161177276135,
      0.026337781414409445,
      0.026109916583220254,
      0.025884538789487363,
      0.02566162049272018,
      0.025441134550954907,
      0.02522305420362761,
      0.02500735307800013,
      0.024794005123949667,
      0.024582984617019223,
      0.024374266009786757,
      0.024167824130821833,
      0.023963634207039307,
      0.023761671531006508,
      0.02356191183516759,
      0.02336433105331594,
      0.02316890544916714,
      0.022975611526435426,
      0.022784425990802236,
      0.02259532580816159,
      0.022408288212941285,
      0.02222329067612889,
      0.022040310953718428,
      0.021859327012218835,
      0.021680317095047922,
      0.02150325971027615,
      0.021328133495640854,
      0.021154917363649856,
      0.020983590533632766,
      0.020814132335493507,
      0.020646522412005028,
      0.020480740560924356,
      0.02031676681489016,
      0.02015458147595597,
      0.019994165038480522,
      0.019835498195315517,
      0.0196785618892119,
      0.019523337200050474,
      0.01936980551241065,
      0.019217948346982677,
      0.019067747383666712,
      0.018919184574212246,
      0.0187722420076985,
      0.018626902069475457,
      0.01848314727657727,
      0.018340960336345004,
      0.018200324084957982
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786013734591561,
      10.569219883442273,
      10.343513137770712,
      10.111604902497954,
      9.8759117252529,
      9.638526942242478,
      9.401300984964141,
      9.165820328997938,
      8.93344449380058,
      8.70529018483851,
      8.482220458692504,
      8.264845925088146,
      8.05353406818368,
      7.848429128836911,
      7.6494807887205605,
      7.456477958951733,
      7.269082802239872,
      7.086866212590344,
      6.909340357175527,
      6.7359875162993585,
      6.566284861694452,
      6.3997233349775025,
      6.235824287780724,
      6.074152195857368,
      5.914322766956779,
      5.756016476928336,
      5.598985853318509,
      5.4430508278294765,
      5.288101180459053,
      5.134102796931724,
      4.981087849386209,
      4.829153995807662,
      4.678456536915213,
      4.529211122832223,
      4.3816926329794255,
      4.236224773317334,
      4.09316830822052,
      3.9529086627045014,
      3.815847529669933,
      3.682398344609978,
      3.552958808249563,
      3.427891635760283,
      3.307516327191328,
      3.1921029678478576,
      3.081868185094467,
      2.9769737282496798,
      2.8775319475506427,
      2.7836009229823118,
      2.6951812052614237,
      2.6122299565132554,
      2.534654684051863,
      2.462307199185152,
      2.394977006755774,
      2.3324023433834173,
      2.2742937888430923,
      2.220336539777519,
      2.170180364668551,
      2.123436148618963,
      2.079695590005406,
      2.0385908168342506,
      1.999765097965407,
      1.9628768256381441,
      1.9276510290224875,
      1.8938735268458071,
      1.8613752191055486,
      1.8300194121839355,
      1.799692944191024,
      1.770298243544226,
      1.74175638695316,
      1.7140027329651735,
      1.6869807451643772,
      1.6606431385622964,
      1.6349517347181304,
      1.6098742428019857,
      1.585382078495214,
      1.5614495809174431,
      1.5380534338430245,
      1.5151722344720053,
      1.4927861720130304,
      1.470876784352405,
      1.4494267717472815,
      1.4284198528174719,
      1.4078406503591616,
      1.3876746011486802,
      1.3679080131945796,
      1.3485285303384038,
      1.3295244685503795,
      1.310884448558916,
      1.292597277614918,
      1.274651866422623,
      1.2570376085740789,
      1.2397444066039982,
      1.222762629745063,
      1.2060833888717113,
      1.1896985329701875,
      1.1736001230028672,
      1.1577804089642656,
      1.1422318571377923,
      1.126947309851964,
      1.111920720932707,
      1.097146541856177,
      1.0826190753904292,
      1.0683325487069537,
      1.0542811995272554,
      1.0404593344934088,
      1.0268613671194264,
      1.0134818424007235,
      1.0003154515788113,
      0.9873570405404322,
      0.9746016129278824,
      0.9620443306007135,
      0.9496808828425646,
      0.9375074021014315,
      0.9255199871372051,
      0.9137147323069609,
      0.9020877679374322,
      0.8906352861067224,
      0.8793535569807285,
      0.8682389398627056,
      0.8572878881180137,
      0.846496951546114,
      0.8358628407998101,
      0.8253830846500387,
      0.8150555435427204,
      0.804877818557078,
      0.7948473599932864,
      0.7849615397108931,
      0.7752177009883642,
      0.7656131911928391,
      0.7561449759389637,
      0.7468096633447673,
      0.7376040717133142,
      0.728525262702095,
      0.7195705151790177,
      0.7107372778491605,
      0.7020231354083862,
      0.6934264991838227,
      0.6849465032980899,
      0.6765819780168658,
      0.6683314913267056,
      0.6601934457787888,
      0.6521661450944651,
      0.6442478393069871,
      0.6364367554758398,
      0.6287311190623956,
      0.6211291677980613,
      0.6136291608735479,
      0.6062293847865144,
      0.5989281571249696,
      0.5917238287941557,
      0.5846147850621443,
      0.5775994459481787,
      0.5706762662706719,
      0.5638437352397492,
      0.5571003758061065,
      0.5504447439271409,
      0.5438754278592236,
      0.5373910473301319,
      0.5309902523942719,
      0.5246717229925988,
      0.5184341678248172,
      0.5122763234278039,
      0.506196953719526,
      0.5001948490206088,
      0.4942688253212237,
      0.488417723211126,
      0.48264040774804745,
      0.4769357672846203,
      0.4713027128592176,
      0.46574017779679605,
      0.46024711686220277,
      0.45482250565523485,
      0.4494653402495334,
      0.444174636442529,
      0.43894942925464653,
      0.4337887724502944,
      0.42869173790544024,
      0.4236574152555208,
      0.4186849111901375,
      0.4137733492857473,
      0.4089218694887556,
      0.40412962768282074,
      0.39939579531634994,
      0.3947195589139072,
      0.39010011970108827,
      0.38553669311586136,
      0.38102850874067645,
      0.37657480976792723,
      0.3721748526600023,
      0.36782790695461987,
      0.3635332234524973,
      0.3592898577237753,
      0.3550968388263168,
      0.35095329951097254,
      0.3468584478776635,
      0.34281154761460614,
      0.33881190421113916,
      0.334858855352692,
      0.33095176404023624,
      0.3270900137250403,
      0.3232730048049141,
      0.3195001524079807,
      0.31577088432506417,
      0.3120846397578195,
      0.308440868562409,
      0.3048390303116324,
      0.3012785939630704,
      0.297759037177983,
      0.2942798461425378,
      0.29084051514054754,
      0.28744054645001355,
      0.28407944988952044,
      0.28075694283645647,
      0.2774728837326197,
      0.27422703425309713,
      0.2710190849202215,
      0.2678487023799197,
      0.2647156363864145,
      0.26161962158183405,
      0.2585603410908894,
      0.25553750414608034,
      0.25255081710167737,
      0.24959993991974097,
      0.24668450052730362,
      0.24380410652659384,
      0.24095835314996492,
      0.23814682876151397,
      0.2353691190084561,
      0.23262480935802254,
      0.22991348533161063,
      0.22723468413528647,
      0.22458792202638259,
      0.22197274528386618,
      0.21938872275744162,
      0.216835440505534,
      0.21431249825637497,
      0.21181950686467257,
      0.20935608632222963,
      0.20692186468425752,
      0.20451647697916867,
      0.20213957888598955,
      0.19979104234090775,
      0.19747082555632817,
      0.19517878875791084,
      0.19291473408215953,
      0.19067843255125957,
      0.18846962131266684,
      0.18628801303712117,
      0.1841333048188338,
      0.18200518429975132,
      0.17990333411016993,
      0.17782743473198653,
      0.1757771665716314,
      0.17375219741533512,
      0.17175215975246239,
      0.16977669700209047,
      0.16782547043775134,
      0.16589815495704907,
      0.16399443619663537,
      0.1621140083895252,
      0.16025657294449186,
      0.15842183734771065,
      0.15660951447802093,
      0.15481932211045343,
      0.15305098249220386,
      0.1513042220276454,
      0.14957877107738568,
      0.14787436383269717,
      0.14619073819540512,
      0.1445276355030122,
      0.1428848005507346,
      0.14126198365822806,
      0.13965900221457886,
      0.13807570703019414,
      0.13651191951954258,
      0.13496744198592944,
      0.1334420642811451,
      0.13193556881827212,
      0.13044773365150117,
      0.12897833483077828,
      0.12752714798314643,
      0.1260939493246154,
      0.12467851636040496,
      0.12328062837820794,
      0.12190006671787254,
      0.12053661514224057,
      0.11919005973261072,
      0.11786018911562411,
      0.11654679457120218,
      0.1152496697994771,
      0.11396861124269943,
      0.11270341785640901,
      0.1114538911307844,
      0.11021983506329307,
      0.10900105619042683,
      0.10779736353925568,
      0.10660856854919115,
      0.1054344851736966,
      0.10427492962172863,
      0.10312972060942319,
      0.10199867903519529,
      0.10088162812674026,
      0.09977839327805989,
      0.09868880217388722,
      0.09761268475671057,
      0.0965498730363397,
      0.09550020129487327,
      0.09446350588581197,
      0.09343962517453955,
      0.09242839954918762,
      0.09142967152151973,
      0.09044328558080898,
      0.0894690830641353,
      0.08850685818579146,
      0.08755639254932655,
      0.08661749263090686,
      0.08568998279531327,
      0.08477370018423501,
      0.08386849143793806,
      0.08297421035332665,
      0.08209071612296776,
      0.08121787233553003,
      0.08035554593251888,
      0.07950360674378941,
      0.07866192538075327,
      0.0778303334676224,
      0.07700864519253038,
      0.07619669686447356,
      0.07539434066285736,
      0.07460144034440068,
      0.07381786821620155,
      0.07304350297817061,
      0.07227822815616068,
      0.07152193108152058,
      0.07077450212393908,
      0.07003583408499842,
      0.06930582196703115,
      0.0685843625116033,
      0.06787135410712057,
      0.06716669667088637,
      0.06647029157500231,
      0.065782041526868,
      0.06510185039429908,
      0.06442962317490272,
      0.06376525959283891,
      0.06310862628957754,
      0.062459587738283605,
      0.06181802375012146,
      0.06118382531808167,
      0.06055689139930999,
      0.059937126994072144,
      0.05932444165209796,
      0.05871874851168339,
      0.0581199633589728,
      0.05752800424791795,
      0.05694279103642828,
      0.056364245104526166,
      0.05579228927869679,
      0.055226847484911204,
      0.05466784477493821,
      0.05411520734744242,
      0.05356886215978696,
      0.053028737175892224,
      0.05249476120427408,
      0.051966863949158955,
      0.051444977101584084,
      0.050929035932241455,
      0.05041897586537668,
      0.04991473210127899,
      0.04941623982568117,
      0.0489234345590211,
      0.04843625211867076,
      0.047954628817836555,
      0.04747850150719584,
      0.047007807730175835,
      0.04654248538408892,
      0.046082473353475505,
      0.04562771099200089,
      0.04517813833497009,
      0.04473369610100169,
      0.04429432571247367,
      0.04385996924548333,
      0.04343056925808036,
      0.04300606917090921,
      0.04258641301154025,
      0.04217154542855522,
      0.04176141169523566,
      0.04135595773451527,
      0.04095512998459316,
      0.04055887563212652,
      0.04016714238055181,
      0.03977987856756194,
      0.03939703310653448,
      0.039018555503350885,
      0.03864439590746245,
      0.03827450500958042,
      0.03790883404634646,
      0.03754733478801369,
      0.03718995954731205,
      0.03683666128266016,
      0.03648739341762266,
      0.03614210983711047,
      0.035800765044267574,
      0.03546331405918974,
      0.03512971244341043,
      0.03479991628854917,
      0.03447388208912256,
      0.03415156688433359,
      0.033832928249187204,
      0.033517924115701994,
      0.03320651307301353,
      0.03289865410993457,
      0.03259430660730023,
      0.03229343042722276,
      0.03199598601059414,
      0.031701934183984926,
      0.031411236210251534,
      0.031123853792642767,
      0.03083974909050778,
      0.030558884733402094,
      0.03028122365254302,
      0.03000672930796001,
      0.02973536562185819,
      0.029467096780126583,
      0.02920188745796855,
      0.028939702722923493,
      0.02868050806669449,
      0.028424254764329325,
      0.028170880852599795,
      0.027920332086922635,
      0.027672561223920835,
      0.02742752613206254,
      0.027185188469008977,
      0.026945512746159927,
      0.026708465553663577,
      0.026474014958699246,
      0.026242130307575336,
      0.02601278195305188,
      0.02578594100773175,
      0.025561579294576274,
      0.025339669141060433,
      0.02512018336964253,
      0.024903095152824795,
      0.024688378070507354,
      0.024476006050907727,
      0.02426595339573885,
      0.024058194590426667,
      0.023852704477686254,
      0.02364945832750766,
      0.023448431603511306,
      0.023249599917551315,
      0.023052939357489352,
      0.02285842620871235,
      0.022666036982146386,
      0.0224757484050546,
      0.02228753759995873,
      0.02210138191872718,
      0.021917258837952994,
      0.021735146105996864,
      0.021555021872063693,
      0.021376864320544545,
      0.021200652011931442,
      0.02102636374765361,
      0.020853978455351502,
      0.02068347534144667,
      0.020514833841659485,
      0.02034803362926121,
      0.020183054618150998,
      0.020019876903081667,
      0.019858480853508616,
      0.01969884700485113,
      0.01954095602019702,
      0.019384788881695078,
      0.01923032676514957,
      0.019077551137887835,
      0.01892644352703557,
      0.01877698566984561,
      0.018629159594700528,
      0.01848294746146888,
      0.018338331669776428,
      0.01819529480888973,
      0.018053819647008838,
      0.01791388908888042
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786008209078867,
      10.569194464557564,
      10.343457210234083,
      10.11151188501687,
      9.87577770603726,
      9.638349736296272,
      9.401080035150581,
      9.165556120363824,
      8.933138221734238,
      8.70494356559612,
      8.481835372491547,
      8.264424183841008,
      8.053077288528318,
      7.847938647230429,
      7.648957621235673,
      7.45592268699228,
      7.2684956643217316,
      7.08624720497558,
      6.908689293124408,
      6.735304095565361,
      6.565568768906307,
      6.398974368198004,
      6.235042368661397,
      6.073337167824832,
      5.91347463545501,
      5.755135680991037,
      5.598073393094327,
      5.442108237460355,
      5.287130506422558,
      5.133106693522735,
      4.980069679276586,
      4.828117536786602,
      4.677405922827749,
      4.528150920295277,
      4.3806277772154045,
      4.235160483654057,
      4.092109987084695,
      3.951861816575378,
      3.8148179965970996,
      3.681392039418403,
      3.5519812022543196,
      3.4269476641724537,
      3.306610314625698,
      3.1912385728235786,
      3.081048368292023,
      2.9762007369267454,
      2.8768073345067737,
      2.782925304074293,
      2.694554447244625,
      2.6116514230627583,
      2.534122601198191,
      2.46181882018733,
      2.394528434908544,
      2.3319890315912866,
      2.273910790953311,
      2.219978801687805,
      2.169842608547519,
      2.1231128719789014,
      2.0793816662673534,
      2.0382818148473993,
      1.9994567141691146,
      1.9625655750728603,
      1.9273343197797457,
      1.8935494657749612,
      1.8610424367983163,
      1.8296769339824994,
      1.7993400178049956,
      1.769934349498785,
      1.7413812213234883,
      1.7136161716172524,
      1.6865828117003565,
      1.6602338336628573,
      1.6345309744439247,
      1.6094420386541104,
      1.5849385083640295,
      1.5609947681737484,
      1.537587532206728,
      1.514695417704784,
      1.4922986262536964,
      1.4703787028928443,
      1.4489183510266916,
      1.4279012895805632,
      1.4073121402790425,
      1.3871363374345365,
      1.367360197894605,
      1.3479713802898683,
      1.3289581874885743,
      1.3103092292043133,
      1.2920133781888876,
      1.274059560995208,
      1.256437133078328,
      1.2391359695821529,
      1.222146419256132,
      1.2054596302978298,
      1.1890674464022837,
      1.1729619005178842,
      1.1571352220215423,
      1.1415798620530881,
      1.1262886700681751,
      1.111255631025399,
      1.0964751781551212,
      1.081941594942869,
      1.067649094034242,
      1.0535919022113576,
      1.0397643177473659,
      1.026160747649034,
      1.0127757320673976,
      0.9996039583038696,
      0.9866402686047636,
      0.9738796637335793,
      0.9613173863942411,
      0.9489492940000783,
      0.9367714570753098,
      0.9247799094563051,
      0.9129707003274344,
      0.9013399281972011,
      0.8898837627504018,
      0.8785984587988895,
      0.8674803641955977,
      0.856525924175437,
      0.8457316825896202,
      0.8350944441706939,
      0.8246118767293147,
      0.8142817603240843,
      0.8041016408086228,
      0.7940689298683276,
      0.784180973038248,
      0.7744350945585414,
      0.764828628618749,
      0.7553585294078108,
      0.7460213970394532,
      0.7368140443652348,
      0.7277335309386341,
      0.7187771338823961,
      0.7099423006834835,
      0.701226684892557,
      0.6926289602195272,
      0.6841482224538905,
      0.6757832050731319,
      0.6675324092560695,
      0.6593941910909493,
      0.6513668215275182,
      0.6434485281093555,
      0.6356375225875858,
      0.6279320193944508,
      0.6203302486836593,
      0.6128304641662026,
      0.6054309485021862,
      0.5981300165057609,
      0.59092601712777,
      0.5838173341326371,
      0.5768023864243618,
      0.569879628084511,
      0.5630475476001201,
      0.5563046672802152,
      0.5496495427174309,
      0.5430807617680659,
      0.5365969434880333,
      0.5301967377180368,
      0.5238788240268101,
      0.5176419107289917,
      0.511484734135189,
      0.5054060576572482,
      0.4994046712554757,
      0.4934793904957317,
      0.4876290558293622,
      0.4818525317945473,
      0.47614870644764723,
      0.4705164906463143,
      0.46495481731443306,
      0.45946264076792676,
      0.45403893635806886,
      0.4486826997999808,
      0.44339294654457906,
      0.4381687111702607,
      0.4330090470005267,
      0.4279130255928537,
      0.42287973625474007,
      0.41790828543519276,
      0.4129977963999968,
      0.40814740873568595,
      0.40335627801397084,
      0.39862357526173153,
      0.3939484865694447,
      0.3893302127365209,
      0.38476796898131277,
      0.38026098448780193,
      0.37580850224807943,
      0.37140977828615196,
      0.36706408178924244,
      0.36277063605445425,
      0.35852845704665554,
      0.3543365949221796,
      0.3501941968641306,
      0.3461004808303902,
      0.3420547173529298,
      0.338056216777551,
      0.33410431997947404,
      0.33019839193776296,
      0.3263378174977058,
      0.32252199802276826,
      0.3187503489002196,
      0.3150222981079044,
      0.311337285050593,
      0.30769475954731645,
      0.3040941811211811,
      0.300535018346665,
      0.29701674875073064,
      0.2935388582245791,
      0.2901008408097153,
      0.28670219845195927,
      0.2833424577109805,
      0.28002137487381146,
      0.276738796775862,
      0.27349447063671567,
      0.27028807660725884,
      0.26711930845742,
      0.2639879304506552,
      0.26089365629616906,
      0.25783616415947386,
      0.2548151714150313,
      0.25183036995452446,
      0.2488814079417491,
      0.2459679049728338,
      0.24308946273580015,
      0.2402456723184568,
      0.23743611912049287,
      0.23466038657245508,
      0.23191805853569297,
      0.22920871209016228,
      0.2265318730913531,
      0.2238870628387322,
      0.2212738310444191,
      0.21869174871404068,
      0.2161404035552981,
      0.21361939621497528,
      0.2111283381577772,
      0.20866684984351921,
      0.20623455951424197,
      0.2038311021924082,
      0.2014562540834229,
      0.1991099747415457,
      0.19679215470831332,
      0.19450261138516148,
      0.1922411259432863,
      0.19000744457810245,
      0.1878012846398172,
      0.18562234496997118,
      0.18347031310644143,
      0.18134487017464995,
      0.17924569425909362,
      0.1771724627012117,
      0.17512485356155247,
      0.17310253633404257,
      0.1711051442256363,
      0.16913231838057793,
      0.16718371862516768,
      0.16525901881092628,
      0.16335790377839682,
      0.16148006719791722,
      0.15962521019068576,
      0.15779303998685718,
      0.15598326930271406,
      0.1541956157856794,
      0.1524298015828686,
      0.15068555308223722,
      0.14896260062198394,
      0.14726067825623115,
      0.1455795237543588,
      0.1439188785099196,
      0.1422784967744763,
      0.14065820386515782,
      0.13905784251560607,
      0.13747722761032516,
      0.1359161558781681,
      0.1343744124688188,
      0.13285177552310645,
      0.1313480192889283,
      0.12986291631674957,
      0.12839623881293635,
      0.126947759862614,
      0.1255172538520681,
      0.12410449699619698,
      0.12270926784579192,
      0.12133134724810482,
      0.11997051857597146,
      0.11862656778639386,
      0.11729928337951571,
      0.11598845648681819,
      0.11469388093596455,
      0.11341535312117661,
      0.11215267203472665,
      0.11090563928823148,
      0.10967405897072863,
      0.10845773764260706,
      0.10725648436319277,
      0.10607011072037385,
      0.10489843065918969,
      0.10374126051554658,
      0.10259841899468128,
      0.10146972709395514,
      0.10035500818648742,
      0.09925408783302077,
      0.09816679383682494,
      0.09709295614719167,
      0.09603240687906382,
      0.09498498030790815,
      0.09395051286613162,
      0.09292884312157879,
      0.09191981166822934,
      0.09092326099880324,
      0.08993903567632948,
      0.08896697804380084,
      0.08800688373685918,
      0.08705853398643373,
      0.0861217350604764,
      0.085196311062217,
      0.08428209911649083,
      0.08337894584613273,
      0.08248670501079308,
      0.08160523594300904,
      0.0807344021925792,
      0.07987407079817191,
      0.07902411160025649,
      0.07818439699730753,
      0.07735476777383522,
      0.0765350378502621,
      0.07572504054671729,
      0.07492462605577266,
      0.07413365671856931,
      0.07335200379814279,
      0.07257954538149543,
      0.07181616443473324,
      0.07106174797770506,
      0.07031618621680864,
      0.06957937188383756,
      0.06885119985500822,
      0.06813156686688303,
      0.06742037147816975,
      0.06671751356726985,
      0.06602289450310546,
      0.06533641704441467,
      0.06465798507916345,
      0.06398750377220609,
      0.06332487951057739,
      0.06266999588824727,
      0.06202271361359439,
      0.061382906696911814,
      0.06075046189678103,
      0.06012527540636825,
      0.059507250250511574,
      0.05889629466017011,
      0.058292320762897906,
      0.0576952436764905,
      0.05710498096055244,
      0.05652145217956403,
      0.055944578559321806,
      0.05537428279926914,
      0.054810488849230656,
      0.05425312165248209,
      0.05370210733184645,
      0.05315737300162602,
      0.05261884667553607,
      0.052086457225881976,
      0.05156013443171786,
      0.05103980971081982,
      0.050525418207479966,
      0.05001689562037811,
      0.04951417733947297,
      0.04901719867209775,
      0.048525895141583515,
      0.04804020271049031,
      0.047560057706480946,
      0.04708539708974568,
      0.04661615846543107,
      0.04615227998703652,
      0.045693700506877516,
      0.0452403594621649,
      0.04479219698258564,
      0.04434915381611092,
      0.04391117149275517,
      0.04347819209658357,
      0.04305015846623433,
      0.042627013930842304,
      0.04220870256312711,
      0.04179516909476248,
      0.04138635892052318,
      0.04098221793606754,
      0.04058269274056622,
      0.04018773050449604,
      0.03979727902140727,
      0.039411286761677704,
      0.039029702665059667,
      0.03865247639317863,
      0.0382795580916096,
      0.037910898449745864,
      0.03754644879758176,
      0.03718616103030866,
      0.036829987547571795,
      0.03647788130627684,
      0.03612979574473281,
      0.03578568495717741,
      0.03544550354612121,
      0.035109206514992844,
      0.03477674941043897,
      0.03444808839648511,
      0.03412318007059261,
      0.03380198156769525,
      0.0334844503700817,
      0.03317054464707727,
      0.03286022299274567,
      0.03255344439454784,
      0.0322501683559414,
      0.03195035490657239,
      0.03165396451598092,
      0.031360958037504175,
      0.03107129678097514,
      0.030784942514110396,
      0.030501857475041208,
      0.030222004256389934,
      0.029945345935723892,
      0.029671846013569526,
      0.029401468432895088,
      0.02913417755568474,
      0.028869938147526038,
      0.0286087152745579,
      0.028350474430823613,
      0.028095181597183015,
      0.0278427985209412,
      0.02759326736389364,
      0.027346530766367866,
      0.027102539414767736,
      0.02686124976508259,
      0.026622622581371595,
      0.026386621745186623,
      0.026153213506913124,
      0.025922365940166975,
      0.02569404849247126,
      0.025468231614166857,
      0.025244886636555698,
      0.025023985599054464,
      0.024805501063462226,
      0.024589406168631135,
      0.024375674363016506,
      0.02416427956475184,
      0.0239551959766231,
      0.023748398188669088,
      0.02354386115817517,
      0.023341560108232354,
      0.02314147046575123,
      0.022943568032311155,
      0.022747828905217534,
      0.02255422940615152,
      0.022362746128243287,
      0.02217335594300877,
      0.021986035865104895,
      0.021800763340766062,
      0.021617515949622888,
      0.02143627151368865,
      0.021257008156987486,
      0.021079704181647896,
      0.020904338135338818,
      0.02073088884820504,
      0.020559335368895346,
      0.02038965704148948,
      0.02022183338621608,
      0.020055844038436788,
      0.019891668904130754,
      0.019729288144556257,
      0.019568682136766956,
      0.019409831523892276,
      0.019252717075549663,
      0.01909731983521471,
      0.018943621077560382,
      0.01879160217787456,
      0.01864124473614776,
      0.01849253068304156,
      0.018345442005487458,
      0.018199960981454922,
      0.018056070014983487,
      0.017913751726089364,
      0.017772988952718068,
      0.01763376461331832
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.786002699130137,
      10.569169116249672,
      10.343401413958803,
      10.111419111893676,
      9.875644073375197,
      9.638173078564414,
      9.400859809256463,
      9.165292822148787,
      8.932833053507904,
      8.704598247940373,
      8.481451788829103,
      8.264004145822708,
      8.052622413107066,
      7.8474502723290716,
      7.648436763944006,
      7.455369931592063,
      7.267911251728278,
      7.0856311344385094,
      6.908041381422419,
      6.7346240480447825,
      6.564856275417509,
      6.398229231347527,
      6.234264515570892,
      6.072526446624808,
      5.912631055272995,
      5.754259684603309,
      5.597165983344569,
      5.44117094901026,
      5.286165383946305,
      5.132116387477288,
      4.979057547869646,
      4.827087350384602,
      4.676361804746964,
      4.527097424361124,
      4.379569822963346,
      4.234103270812043,
      4.091058894503553,
      3.95082232398443,
      3.8137959143943436,
      3.6803932485575626,
      3.5510111403554503,
      3.4260112328038215,
      3.305711804430052,
      3.19038161100916,
      3.0802358871084325,
      2.9754349573264993,
      2.8760897858604,
      2.7822565822999348,
      2.6939344027647762,
      2.611079405983727,
      2.5335968293832454,
      2.4613363079879558,
      2.394085096829301,
      2.3315803877862793,
      2.273531964494938,
      2.2196248056531034,
      2.169508233218323,
      2.122792681896461,
      2.0790705967558885,
      2.037975488264783,
      1.9991508790608616,
      1.9622567893295442,
      1.9270200241927533,
      1.8932277917459326,
      1.8607120316480654,
      1.8293368373375378,
      1.7989894888823827,
      1.7695728772557986,
      1.7410085080445576,
      1.7132320971481245,
      1.686187402458627,
      1.6598270938613684,
      1.6341128219508563,
      1.6090124850541,
      1.584497631587622,
      1.56054269153982,
      1.5371244094967575,
      1.5142214227050799,
      1.4918139453981092,
      1.4698835295323143,
      1.4484128811712593,
      1.427385719720693,
      1.406786665399843,
      1.3866011501843927,
      1.3668154997875446,
      1.3474173878601874,
      1.3283951040448638,
      1.309737247426136,
      1.2914327255589646,
      1.2734705214433943,
      1.2558399498080983,
      1.2385308558777965,
      1.2215335660064013,
      1.204839264568741,
      1.1884397895379941,
      1.172327145470768,
      1.1564935409033856,
      1.14093141125452,
      1.1256336125301702,
      1.110594161211279,
      1.0958074720615607,
      1.0812678090634815,
      1.0669693703696732,
      1.0529063723126144,
      1.0390731048286233,
      1.025463968449634,
      1.0120734982088724,
      0.9988963771431392,
      0.9859274446006797,
      0.9731616983437481,
      0.9605945323176367,
      0.9482218994384507,
      0.9360397871378277,
      0.9240441713887165,
      0.9122310609893051,
      0.900596526322649,
      0.8891367171338302,
      0.8778478741001527,
      0.8667263349861521,
      0.8557685374870851,
      0.8449710202432097,
      0.8343307022920727,
      0.8238453645949526,
      0.8135127087609969,
      0.8033302268289756,
      0.7932952930663915,
      0.7834052268553923,
      0.7736573344776841,
      0.7640489373583481,
      0.7545769791791179,
      0.7452380526101444,
      0.7360289648752535,
      0.7269467730945249,
      0.7179887527982446,
      0.7091523501528975,
      0.7004353712827018,
      0.6918367108351874,
      0.6833553418881378,
      0.6749899141081803,
      0.6667388702294813,
      0.6586005260161459,
      0.6505731245958081,
      0.6426548740841966,
      0.6348439725401586,
      0.6271386248143297,
      0.619537054331825,
      0.6120375102147325,
      0.6046382716601487,
      0.5973376513062534,
      0.590133996463582,
      0.5830256894747409,
      0.5760111482075682,
      0.5690888260581671,
      0.5622572109156958,
      0.5555148245964514,
      0.5488602221453351,
      0.5422919907060203,
      0.5358087490342138,
      0.5294091467708867,
      0.5230918628702157,
      0.516855605322657,
      0.5106991102965083,
      0.5046211410086358,
      0.4986204868606783,
      0.4926959630997238,
      0.4868464097104756,
      0.48107069094122745,
      0.47536769455119093,
      0.46973633088450323,
      0.46417553243421894,
      0.4586842533400517,
      0.45326146854348276,
      0.44790617349229467,
      0.44261738327823696,
      0.43739413215066136,
      0.43223547305276583,
      0.42714047718148207,
      0.42210823354929217,
      0.4171378482689732,
      0.4122284441479394,
      0.40737916046686135,
      0.4025891524100717,
      0.39785759065835025,
      0.3931836610434112,
      0.3885665640111562,
      0.3840055143778208,
      0.37949974105019124,
      0.3750484866095999,
      0.3706510068364599,
      0.3663065705832755,
      0.3620143562225031,
      0.357773363661224,
      0.35358266211044587,
      0.3494414119239759,
      0.34534884014926254,
      0.34130422357798085,
      0.33730687670599785,
      0.33335614317369355,
      0.3294513899716021,
      0.32559200316979875,
      0.3217773847885068,
      0.31800695074884033,
      0.31428012923607074,
      0.31059635972557553,
      0.3069550919050602,
      0.30335578497403376,
      0.29979790748463975,
      0.2962809367190256,
      0.2928043582637221,
      0.28936766593290253,
      0.2859703611759157,
      0.28261199461770586,
      0.2792923578710212,
      0.27601127863567504,
      0.2727684906656842,
      0.2695636647059254,
      0.26639653280213277,
      0.2632668598516929,
      0.26017434001344825,
      0.25711865754370633,
      0.25409952711091544,
      0.2511166253918043,
      0.24816958985140658,
      0.24525803262693033,
      0.24238155011466853,
      0.23953972945467078,
      0.23673215337588416,
      0.23395840334379284,
      0.23121806186268826,
      0.22851069776717672,
      0.22583582579521047,
      0.22319297215219658,
      0.22058168979546086,
      0.21800155210464403,
      0.21545214824688255,
      0.21293307997788496,
      0.21044395944759292,
      0.20798440744244942,
      0.20555405240173485,
      0.20315258132090355,
      0.2007799164131078,
      0.19843598380891597,
      0.19612062103097655,
      0.1938336197390947,
      0.1915747370596746,
      0.18934369638081613,
      0.1871401991689272,
      0.18496393330940794,
      0.18281457876792226,
      0.18069181133196352,
      0.1785953053378342,
      0.1765247356479087,
      0.17447977865693587,
      0.17246010493183722,
      0.17046535039105107,
      0.16849515393251754,
      0.16654917367934466,
      0.16462708230225603,
      0.1627285639654269,
      0.16085331182670187,
      0.15900102649078077,
      0.15717141492513967,
      0.15536418967027102,
      0.15357906824525003,
      0.1518157727150767,
      0.15007402936724284,
      0.148353568496535,
      0.14665412418899307,
      0.14497543423182604,
      0.14331725611344232,
      0.14167942205534198,
      0.14006176719089725,
      0.13846410011008892,
      0.13688621222980385,
      0.13532788407847465,
      0.13378888962786017,
      0.1322689992419708,
      0.13076798191053426,
      0.12928560652647264,
      0.127821642875043,
      0.12637586229970862,
      0.12494803806022416,
      0.12353794571547903,
      0.12214536320130107,
      0.12077007111322025,
      0.11941185254559236,
      0.11807049339088149,
      0.11674578220257663,
      0.11543751000948385,
      0.1141454706281777,
      0.11286946052645103,
      0.11160927865134686,
      0.11036472672341661,
      0.10913560895502109,
      0.10792173205077722,
      0.10672290522258754,
      0.10553894004813141,
      0.10436965055333869,
      0.10321485314454262,
      0.10207436667582992,
      0.10094801220065586,
      0.09983561310612418,
      0.09873699504562146,
      0.09765198594293924,
      0.09658041585805055,
      0.09552211709575413,
      0.09447692401034652,
      0.09344467312942796,
      0.09242520296709866,
      0.09141835423881846,
      0.09042396954958329,
      0.08944189358509043,
      0.08847196987681676,
      0.08751399604108687,
      0.08656775264623193,
      0.08563304554057238,
      0.08470969847665508,
      0.0837975484677058,
      0.08289644208860626,
      0.08200623307642609,
      0.08112678076592011,
      0.08025794878498138,
      0.0793996041704095,
      0.07855161685567943,
      0.07771385923018471,
      0.07688618263094446,
      0.07606840257911564,
      0.075260348930644,
      0.07446186940428098,
      0.0736728246826341,
      0.07289308496263289,
      0.07212252744931644,
      0.07136103466531599,
      0.07060849335963791,
      0.06986479347702369,
      0.06912982763904925,
      0.06840349060639105,
      0.06768567909006393,
      0.06697629158234732,
      0.06627522806083702,
      0.06558238994960677,
      0.06489768002204521,
      0.06422100217501851,
      0.06355226170375451,
      0.06289136496454484,
      0.06223821273513881,
      0.06159267299071445,
      0.06095461262520794,
      0.060323913455805706,
      0.05970046810314563,
      0.0590841770881279,
      0.05847494680228527,
      0.057872688181521185,
      0.05727731560727134,
      0.05668874604986799,
      0.05610689868663563,
      0.05553169446763271,
      0.05496305595552697,
      0.05440090697438257,
      0.05384517249557149,
      0.05329577867117062,
      0.05275265253769492,
      0.05221572219103861,
      0.05168491655176883,
      0.051160165493160444,
      0.05064140017258006,
      0.0501285556335604,
      0.049621567792119674,
      0.04912037217076833,
      0.04862490417576966,
      0.04813509948853442,
      0.047650894174827624,
      0.0471722247127663,
      0.046699028149582475,
      0.04623124208891287,
      0.04576880479454994,
      0.04531165514727241,
      0.04485973263898606,
      0.044412977595205724,
      0.043971330834484255,
      0.04353473378444878,
      0.04310312859705725,
      0.04267645819997177,
      0.04225466611853188,
      0.04183769649732722,
      0.041425494149731484,
      0.041018004393408636,
      0.04061517327934084,
      0.0402169474511964,
      0.03982327421082362,
      0.03943410138879635,
      0.03904937755138541,
      0.03866905169783932,
      0.038293073541688795,
      0.0379213933145235,
      0.03755396176874859,
      0.0371907302524654,
      0.03683165072946172,
      0.03647667575378766,
      0.03612575834808369,
      0.03577885200454327,
      0.03543591082438209,
      0.035096889424423044,
      0.03476174293801862,
      0.03443042704937931,
      0.034102897938165684,
      0.03377911228945666,
      0.033459027334498494,
      0.03314260069598749,
      0.03282979048341868,
      0.03252055530099018,
      0.032214854193767704,
      0.03191264683110421,
      0.03161389324070025,
      0.03131855386864325,
      0.03102658969181024,
      0.030737962138275485,
      0.030452633057338373,
      0.030170564703883764,
      0.029891719736969184,
      0.029616061308987068,
      0.02934355292785584,
      0.02907415864195429,
      0.02880784282607788,
      0.02854457023608657,
      0.02828430608089103,
      0.02802701597520266,
      0.02777266593863383,
      0.027521222326177118,
      0.02727265192236554,
      0.027026908128819832,
      0.026783931534748104,
      0.02654366986584898,
      0.02630607758009297,
      0.026071114134373012,
      0.02583874265220267,
      0.025608928981121448,
      0.02538164088795657,
      0.025156847668555332,
      0.02493451983052639,
      0.024714628837702556,
      0.024497146880727735,
      0.024282046850789624,
      0.024069302074450405,
      0.0238588863586828,
      0.02365077390409274,
      0.02344493924515982,
      0.023241357331871527,
      0.023040003323211444,
      0.022840852808203978,
      0.022643881646294967,
      0.022449065927104973,
      0.022256381908387524,
      0.02206580627288717,
      0.021877315985960814,
      0.021690888224569382,
      0.021506500421319047,
      0.021324130201397503,
      0.021143755453921942,
      0.02096535433439501,
      0.020788905244206585,
      0.020614386822283046,
      0.020441777971139885,
      0.020271057764604073,
      0.020102205473953565,
      0.01993520065193886,
      0.01977002310989782,
      0.01960665287045918,
      0.019445070114739376,
      0.019285255295220693,
      0.019127189078371305,
      0.018970852294229377,
      0.01881622607755257,
      0.018663291730195965,
      0.01851203063503514,
      0.018362424526569544,
      0.018214455291883473,
      0.018068104957048747,
      0.01792335588375816,
      0.01778019052193489,
      0.01763859148734731,
      0.017498541690537498,
      0.017360024129860856
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785997203321216,
      10.569143836179569,
      10.343345585681652,
      10.111326116639294,
      9.875510101434342,
      9.637996025277982,
      9.400639180774691,
      9.165029153731998,
      8.932527580876656,
      8.704252667483159,
      8.481068012675745,
      8.26358401077949,
      8.052167556406987,
      7.846962048700575,
      7.647916168432781,
      7.454817528508883,
      7.267327298577311,
      7.08501564549816,
      6.907394186997248,
      6.73394486409483,
      6.5641447827179835,
      6.397485228164313,
      6.23348794120661,
      6.071717160183766,
      5.91178907456249,
      5.753385460874015,
      5.596260527656725,
      5.4402358027580515,
      5.285202596991422,
      5.131128613757256,
      4.97804814634971,
      4.826060091680215,
      4.6753208128025605,
      4.526047249673736,
      4.378515377247913,
      4.233049743857649,
      4.090011652407761,
      3.949786832445791,
      3.812777965566626,
      3.679398702379747,
      3.550045411496432,
      3.4250791994716048,
      3.3048177346781378,
      3.1895291097083094,
      3.07942786502711,
      2.9746736160435923,
      2.8753766378267738,
      2.78159220713013,
      2.6933186366061177,
      2.610511515523626,
      2.533074965803537,
      2.4608574256382436,
      2.3936450701395544,
      2.3311747730264973,
      2.273155921500035,
      2.219273383664456,
      2.169176258474645,
      2.1224747542435116,
      2.0787616848845265,
      2.037671244127076,
      1.9988470791809494,
      1.9619500149514668,
      1.9267077341626377,
      1.8929081313201563,
      1.8603836547207242,
      1.8289987921421846,
      1.7986410411438276,
      1.7692135209917539,
      1.7406379488423898,
      1.7128502173127063,
      1.685794229819898,
      1.6594227029865276,
      1.6336971658188555,
      1.6085855437898315,
      1.5840594597853577,
      1.5600933963062695,
      1.5366641332477124,
      1.5137503309343863,
      1.4913322182056894,
      1.4693913557435578,
      1.4479104542839916,
      1.426873233845667,
      1.4062643141402533,
      1.386069124787541,
      1.3662740007543017,
      1.3468666305402504,
      1.3278352910517834,
      1.3091685710303926,
      1.2908554115432185,
      1.2728848526781082,
      1.255246169788751,
      1.2379291779560007,
      1.220924206039682,
      1.2042224633153717,
      1.1878157568378973,
      1.1716960662028884,
      1.1558555810524382,
      1.1402867231753293,
      1.124982356246956,
      1.1099365285713367,
      1.0951436367931617,
      1.0805979261423113,
      1.066293581127749,
      1.052224807461861,
      1.038385886927905,
      1.0247712138659417,
      1.0113753185236742,
      0.9981928798523886,
      0.9852187332082996,
      0.9724478894476722,
      0.9598759417047854,
      0.9474988486761954,
      0.9353125229938098,
      0.9233128887722124,
      0.9114959184681576,
      0.8998576565330725,
      0.8883942347481141,
      0.8771018808067266,
      0.8659769231202985,
      0.8550157928780993,
      0.8442150235718309,
      0.8335717200581427,
      0.8230836814622197,
      0.8127485390764695,
      0.8025637360962626,
      0.7925266130903089,
      0.7826344658151717,
      0.772884584393772,
      0.7632742786138257,
      0.7538004831250738,
      0.7444597836332425,
      0.7352489825669507,
      0.7261651344781878,
      0.7172055129407524,
      0.7083675626892325,
      0.6996493109453015,
      0.6910497813527409,
      0.6825678321525458,
      0.6742020337802127,
      0.6659507741557427,
      0.6578123309773858,
      0.6497849210288692,
      0.6418667339802319,
      0.634055954940778,
      0.6263507800413232,
      0.6187494263518875,
      0.6112501384690645,
      0.6038511927210612,
      0.5965508993986246,
      0.5893476038195132,
      0.5822396873116584,
      0.5752255670095276,
      0.5683036952126636,
      0.561472559129317,
      0.5547306802257654,
      0.5480766130117896,
      0.5415089442085715,
      0.5350262923567838,
      0.5286273066508548,
      0.5223106658430102,
      0.516075077375233,
      0.5099192768955142,
      0.5038420273756481,
      0.4978421180636734,
      0.49191836383359144,
      0.4860696042752037,
      0.4802947031881358,
      0.47459254782297267,
      0.46896204840697703,
      0.46340213716887313,
      0.45791176780578474,
      0.4524899149887714,
      0.44713557362948964,
      0.44184775846984026,
      0.43662550356511537,
      0.4314678615098083,
      0.42637390314552326,
      0.4213427169900977,
      0.416373408746138,
      0.4114651010173015,
      0.40661693280274525,
      0.4018280588722065,
      0.39709764955748195,
      0.3924248902239248,
      0.38780898093246186,
      0.3832491362675165,
      0.3787445847479308,
      0.37429456860968946,
      0.3698983433520451,
      0.365555177301098,
      0.3612641974230766,
      0.3570243974525436,
      0.35283486460344643,
      0.3486947717387487,
      0.3446033544903341,
      0.34055989557228905,
      0.33656371359930437,
      0.33261415498490127,
      0.3287105884219303,
      0.3248524010740313,
      0.32103899568964195,
      0.317269788527887,
      0.31354420792462845,
      0.3098616933547694,
      0.3062216943909662,
      0.30262367016602126,
      0.29906708896979556,
      0.2955514278273537,
      0.29207617204507724,
      0.28864081508009315,
      0.2852448582249759,
      0.2818878758598109,
      0.27856969459875,
      0.2752901229842292,
      0.27204888162361407,
      0.2688456543486884,
      0.2656802007468588,
      0.26255226357873956,
      0.2594615209951296,
      0.25640766721207336,
      0.2533904135406256,
      0.25040942289971285,
      0.2474643230168649,
      0.2445547190773177,
      0.24168020248226155,
      0.23884035698246173,
      0.2360347628348049,
      0.2332629996593624,
      0.2305246485425542,
      0.22781926518654474,
      0.22514636022962467,
      0.22250546428275705,
      0.21989613332080632,
      0.21731794268159738,
      0.2147704828442037,
      0.2122533564503679,
      0.2097661761376165,
      0.20730856320240543,
      0.20488014626066886,
      0.202480764823429,
      0.20011038338339784,
      0.19776886477414243,
      0.19545601201653257,
      0.19317159266302997,
      0.19091533760126156,
      0.18868695195277477,
      0.18648612462960965,
      0.18431253479410475,
      0.1821658562136551,
      0.18004576058337862,
      0.17795191938396912,
      0.17588400535111157,
      0.17384169348541822,
      0.1718246559874887,
      0.16983253185563824,
      0.16786495763943196,
      0.16592158974558233,
      0.16400209978407884,
      0.16210617101289623,
      0.1602334961270043,
      0.1583837753396053,
      0.15655671534716703,
      0.15475202850586325,
      0.1529694321724011,
      0.15120864832073266,
      0.14946940321157057,
      0.14775142699810373,
      0.14605445380166132,
      0.14437824366348412,
      0.14272263509145305,
      0.14108745582801477,
      0.1394725084554343,
      0.13787757916452031,
      0.13630244391929994,
      0.13474687257590534,
      0.13321063174793174,
      0.13169348675349402,
      0.1301952031158963,
      0.1287155473950306,
      0.1272542878235476,
      0.125811194603633,
      0.12438604034297651,
      0.12297860000208673,
      0.12158865135128645,
      0.12021597470496183,
      0.11886035314139669,
      0.11752157239413752,
      0.11619942095572973,
      0.11489369010153323,
      0.11360417366817085,
      0.11233066818421114,
      0.11107297271067465,
      0.10983088893182572,
      0.10860422112124497,
      0.10739277602760007,
      0.10619636288974149,
      0.10501479348559925,
      0.10384788197368322,
      0.10269544486994331,
      0.10155730101979399,
      0.10043327165490842,
      0.0993231802226738,
      0.09822685242685399,
      0.0971441162253707,
      0.09607480184862964,
      0.0950187416795994,
      0.0939757701158836,
      0.0929457237571689,
      0.09192844130752806,
      0.09092376349816343,
      0.08993153311263134,
      0.08895159493045118,
      0.0879837939992925,
      0.08702793020112566,
      0.08608378321395954,
      0.08515115839935639,
      0.08422987917008531,
      0.08331978226229284,
      0.08242071416240658,
      0.08153252857054294,
      0.08065508467972461,
      0.07978824611889675,
      0.07893187996350666,
      0.07808585622656036,
      0.07725004741797983,
      0.0764243152134584,
      0.07560847758073498,
      0.07480236069738895,
      0.07400580973011527,
      0.07321868354702642,
      0.07244085109889564,
      0.0716721887838469,
      0.07091257861359741,
      0.07016190684029373,
      0.0694200632421036,
      0.06868694025975801,
      0.06796243264289718,
      0.06724643708276273,
      0.06653885204944726,
      0.06583957747675102,
      0.06514851483122959,
      0.06446556693864325,
      0.06379063787935321,
      0.06312363293285063,
      0.06246445858727749,
      0.06181302248971874,
      0.06116921041810405,
      0.06053288521763101,
      0.05990392265602681,
      0.05928221108311973,
      0.05866764806277994,
      0.05806013794983846,
      0.057459590241022505,
      0.05686591815891085,
      0.05627903803244891,
      0.0556988685719344,
      0.0551253304171634,
      0.05455834588702645,
      0.053997838643071235,
      0.05344373367986754,
      0.052895957072036384,
      0.05235443594826501,
      0.05181909839275402,
      0.051289873363192046,
      0.050766690768057565,
      0.05024948179827237,
      0.04973818114389342,
      0.049232724933969046,
      0.048733048799696456,
      0.04823908833368313,
      0.04775077938640137,
      0.047268058077577106,
      0.04679086096750199,
      0.046319125099509806,
      0.04585278829259112,
      0.045391788876948856,
      0.04493606573387994,
      0.044485558547605865,
      0.04404020755747776,
      0.04359995363382717,
      0.04316473850864325,
      0.04273450438003487,
      0.042309194138687195,
      0.04188875137722715,
      0.04147312031352685,
      0.041062245751332285,
      0.04065607324034807,
      0.04025454893689949,
      0.039857619444811,
      0.03946523216059556,
      0.039077335017224005,
      0.03869387655127907,
      0.03831480589300765,
      0.037940072723493055,
      0.03756962738362532,
      0.037203420772447704,
      0.036841404352580286,
      0.03648353006561889,
      0.036129750363939235,
      0.0357800184956773,
      0.03543428806438093,
      0.03509251329638783,
      0.03475464882362908,
      0.03442064988493954,
      0.03409047212868666,
      0.03376407184357117,
      0.03344140577488465,
      0.033122431168600135,
      0.032807105690043345,
      0.03249538756692878,
      0.03218723555957161,
      0.03188260873592882,
      0.031581466737858784,
      0.031283769715424174,
      0.03098947816781155,
      0.030698553183281255,
      0.03041095615644983,
      0.03012664897766152,
      0.02984559404910733,
      0.029567754058352057,
      0.029293092226616937,
      0.02902157223485178,
      0.028753158116673855,
      0.02848781428274835,
      0.028225505569316987,
      0.02796619723402726,
      0.027709854985463418,
      0.02745644480419946,
      0.027205933162756643,
      0.02695828684652639,
      0.02671347310056075,
      0.026471456725953343,
      0.02623218482175012,
      0.025995600937523677,
      0.02576165669457338,
      0.025530309655790385,
      0.02530152170926966,
      0.02507525780282254,
      0.024851485218303125,
      0.02463017310024331,
      0.02441129190861564,
      0.024194813131529744,
      0.02398070908763511,
      0.023768952820966797,
      0.023559517890266356,
      0.02335237837038566,
      0.023147508795319946,
      0.022944884023399777,
      0.02274447928191076,
      0.02254627013675668,
      0.022350232301302973,
      0.022156341954794375,
      0.021964575521635474,
      0.02177490973172052,
      0.021587321503796768,
      0.021401788083923404,
      0.021218286918192216,
      0.021036795761581042,
      0.020857292495178734,
      0.020679755376751412,
      0.020504162860070105,
      0.020330493618439978,
      0.02015872660770026,
      0.019988841008861082,
      0.019820816184725285,
      0.01965463184080188,
      0.01949026779305776,
      0.01932770397777643,
      0.019166920646420955,
      0.019007898383626445,
      0.01885061785927944,
      0.01869506000724468,
      0.018541205956932785,
      0.018389036997451178,
      0.01823853468239712,
      0.018089680763767102,
      0.0179424571904954,
      0.017796846113802913,
      0.017652829868314093,
      0.017510390928094234,
      0.017369512035182364,
      0.017230176163560457,
      0.017092366395275276
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785991719210703,
      10.569118612245727,
      10.343289889515715,
      10.111233353769919,
      9.875376485066461,
      9.637819471743052,
      9.400419210400736,
      9.164766312474441,
      8.932223110090098,
      8.703908255881561,
      8.480685574559589,
      8.263165383607632,
      8.051714376765847,
      7.846475670755984,
      7.647397567398848,
      7.454267253808956,
      7.266745613760593,
      7.084402570621342,
      6.906749558039132,
      6.733268403586128,
      6.563436176340782,
      6.396744277713414,
      6.232714591084314,
      6.070911274239366,
      5.910950675234044,
      5.752515001631686,
      5.595359020813338,
      5.4393047906132965,
      5.2842441279622205,
      5.130145338457123,
      4.977043419006469,
      4.8250376752042685,
      4.674284820981953,
      4.5250022197008235,
      4.377466205751764,
      4.23200160217529,
      4.088969885991735,
      3.948756882400099,
      3.811765597325361,
      3.678409747753417,
      3.5490852573397764,
      3.4241526963506055,
      3.303929123681975,
      3.18868197023738,
      3.0786250842606186,
      2.973917374601167,
      2.8746684301107313,
      2.780932598126843,
      2.6927074501652117,
      2.609947897033146,
      2.5325569689353506,
      2.4603820312940976,
      2.39320818278354,
      2.3307719822958735,
      2.2727824272504193,
      2.2189242747525486,
      2.1688464000872973,
      2.1221587851410746,
      2.078454609742373,
      2.037368745498362,
      1.9985449648266012,
      1.9616448921810488,
      1.9263970817941785,
      1.8925901098133346,
      1.860056926362937,
      1.8286624154773952,
      1.7982942890497162,
      1.768855892336391,
      1.740269152773832,
      1.7124701386087327,
      1.6854028982048308,
      1.659020210164024,
      1.6332834778648762,
      1.6081606323470266,
      1.5836233739095253,
      1.5596462380755716,
      1.5362060413788459,
      1.51328146850519,
      1.4908527635764646,
      1.468901496018428,
      1.4474103811078969,
      1.4263631410254638,
      1.40574439428842,
      1.3855395683404481,
      1.3657350079903356,
      1.3463184164136852,
      1.3272780579147574,
      1.3086025108240171,
      1.2902807069296458,
      1.2723017633827078,
      1.2546549591054341,
      1.2373300732639372,
      1.2203174358919076,
      1.2036082766950518,
      1.1871943661291198,
      1.1710676581372068,
      1.155220323389281,
      1.139644769003418,
      1.1243338779553647,
      1.109281714445845,
      1.094482658372035,
      1.0799309368157552,
      1.0656207207873658,
      1.0515462057775753,
      1.0377016658132148,
      1.024081489184537,
      1.010680200732137,
      0.9974924756643673,
      0.9845131464504657,
      0.9717373291392006,
      0.9591607710407701,
      0.9467793428738879,
      0.9345888968765144,
      0.9225853147599711,
      0.9107645391467394,
      0.8991225936550415,
      0.8876555951400034,
      0.8763597606694803,
      0.8652314111369738,
      0.8542669720850242,
      0.8434629730641608,
      0.8328167048331018,
      0.8223259847086174,
      0.8119883740972209,
      0.8018012678793486,
      0.7917619727391221,
      0.7818677610766706,
      0.7721159064101736,
      0.7625037073058152,
      0.7530280902010394,
      0.743685634071283,
      0.7344731359957358,
      0.7253876480899905,
      0.7164264419496386,
      0.7075869608291481,
      0.6988675255807513,
      0.6902671913566254,
      0.6817847096126494,
      0.6734185768657585,
      0.6651671297699127,
      0.6570286103364463,
      0.6490012106537331,
      0.641083102970749,
      0.6332724605889019,
      0.6255674713162375,
      0.6179663462846362,
      0.6104673260285847,
      0.6030686838062195,
      0.595768727686682,
      0.5885658015756128,
      0.5814582855769441,
      0.5744445958041137,
      0.5675231838561121,
      0.5606925364767713,
      0.5539511742855568,
      0.5472976514958826,
      0.5407305545925319,
      0.5342485017805422,
      0.5278501416092328,
      0.5215341524541204,
      0.5152992415654499,
      0.5091441442478805,
      0.5030676232266031,
      0.4970684673135687,
      0.49114549085275105,
      0.48529753323583796,
      0.4795234579073581,
      0.4738221518289381,
      0.468192524719486,
      0.462633508455362,
      0.4571440563791437,
      0.4517231428758317,
      0.4463697626597792,
      0.44108293000331206,
      0.43586167849406826,
      0.430705060382496,
      0.4256121461063552,
      0.4205820239437924,
      0.415613799339145,
      0.41070659451286445,
      0.4058595480020337,
      0.40107181420819227,
      0.39634256308235954,
      0.39167097969381737,
      0.3870562640147748,
      0.3824976300831491,
      0.37799430607019535,
      0.3735455338044335,
      0.3691505684401346,
      0.36480867272733747,
      0.36051892478460923,
      0.3562803177516523,
      0.35209195597029314,
      0.3479530241479337,
      0.3438627660441524,
      0.339820470006391,
      0.33582545842962025,
      0.3318770803151665,
      0.32797470612705454,
      0.3241177240766151,
      0.3203055375053293,
      0.3165375630271936,
      0.3128132291701478,
      0.3091319753227709,
      0.30549325097027297,
      0.30189651505305093,
      0.2983412356374464,
      0.2948268894400902,
      0.2913529615999451,
      0.287918945265772,
      0.28452434146851346,
      0.28116876275966146,
      0.27785205147032294,
      0.27457399867419874,
      0.27133431265111424,
      0.26813270031780884,
      0.2649689371042439,
      0.26184274426787046,
      0.2587537932275797,
      0.25570178647370906,
      0.2526864220671069,
      0.24970735083043305,
      0.24676419191486257,
      0.24385654455098554,
      0.2409839958792852,
      0.23814612649414763,
      0.2353425144599086,
      0.23257273786567334,
      0.2298363765904126,
      0.22713297193642562,
      0.2244620322998442,
      0.2218230924807021,
      0.2192157113317225,
      0.21663946621216393,
      0.21409394897622971,
      0.21157876321480573,
      0.2090935221675986,
      0.20663784729796553,
      0.20421146652943664,
      0.20181432971249924,
      0.19944633486583518,
      0.19710730220559064,
      0.19479701272117647,
      0.192515207798383,
      0.19026159833404252,
      0.18803587566930766,
      0.1858377192353653,
      0.18366680171652316,
      0.18152279227258622,
      0.17940535928309667,
      0.17731417200077537,
      0.17524890164248552,
      0.17320922226552396,
      0.1711948080628162,
      0.16920530143838144,
      0.1672403365561223,
      0.16529956825957662,
      0.16338266699074833,
      0.16148931525504193,
      0.15961920508198604,
      0.15777203634506526,
      0.15594751558490227,
      0.15414535494908418,
      0.15236527156317145,
      0.15060698731794206,
      0.14887022837216418,
      0.14715472488498024,
      0.1454602439715779,
      0.14378662275139317,
      0.14213368248158928,
      0.14050122022451192,
      0.13888901738752601,
      0.13729684556604083,
      0.13572447060963752,
      0.13417165547390955,
      0.1326381620089373,
      0.13112375232143228,
      0.129628189747434,
      0.12815123927394406,
      0.1266926680858209,
      0.12525224573738097,
      0.12382974440737604,
      0.1224249388694021,
      0.12103760668078173,
      0.11966752807474067,
      0.11831448609035479,
      0.11697826648258632,
      0.11565865775574674,
      0.11435545116152089,
      0.11306844059786585,
      0.11179742266970333,
      0.11054219657390106,
      0.1093025640948281,
      0.1080783295005851,
      0.10686929973394323,
      0.1056752840523052,
      0.1044960942802425,
      0.10333154465719543,
      0.10218145177606652,
      0.10104563468927494,
      0.0999239146221123,
      0.09881611508853606,
      0.09772206198263657,
      0.09664158342436964,
      0.09557450960651227,
      0.09452067301140754,
      0.09347990814619303,
      0.0924520516921249,
      0.09143694244536786,
      0.09043442123341117,
      0.08944433087061,
      0.08846651620356985,
      0.08750082404267505,
      0.0865470569100982,
      0.08560499346177676,
      0.08467443827118812,
      0.0837552143585342,
      0.08284715820689388,
      0.08195011608630683,
      0.08106394164002914,
      0.08018849411275732,
      0.07932363706147537,
      0.07846923762635055,
      0.07762516589163486,
      0.07679129430519398,
      0.07596749054914095,
      0.07515358143748942,
      0.07434938882452387,
      0.07355475490000075,
      0.07276953651577711,
      0.07199360122853428,
      0.07122682442665257,
      0.07046908735893752,
      0.0697202758792847,
      0.06898027941873426,
      0.06824899025120196,
      0.0675263030818116,
      0.06681211448838673,
      0.06610632296189088,
      0.06540882852128706,
      0.0647195326523546,
      0.06403833815972257,
      0.06336514921464469,
      0.0626998711758528,
      0.06204241055159861,
      0.06139267508675381,
      0.060750567623959896,
      0.06011595922877416,
      0.05948871829155482,
      0.05886872788662815,
      0.058255881892308466,
      0.05765008212410266,
      0.05705123621452972,
      0.05645925622163285,
      0.055874057540440794,
      0.055295558279304755,
      0.05472367881207303,
      0.054158341097037814,
      0.05359946872737541,
      0.05304698651705182,
      0.052500820466669124,
      0.05196089769875583,
      0.05142714620685995,
      0.050899495052818496,
      0.05037787417082348,
      0.04986221470256954,
      0.049352451331157586,
      0.04884852021458901,
      0.048350357128525236,
      0.047857897783066185,
      0.047371078081373856,
      0.04688983421081791,
      0.04641410291933463,
      0.0459438213997504,
      0.045478927436507104,
      0.04501935948476266,
      0.044565056491067484,
      0.044115958148661816,
      0.043672004932878906,
      0.04323313776412729,
      0.042799298321888724,
      0.04237042892535617,
      0.04194647251532471,
      0.041527372810330844,
      0.04111307412533187,
      0.04070352132956979,
      0.040298660000350026,
      0.03989843629042478,
      0.03950279704546674,
      0.039111689615644006,
      0.03872506198427114,
      0.038342862847836216,
      0.03796504141896945,
      0.037591547466599255,
      0.037222331380777705,
      0.03685734402339621,
      0.03649653694027114,
      0.03613986219099693,
      0.03578727232075072,
      0.03543872048328651,
      0.035094160518821305,
      0.03475354659559395,
      0.034416833504662694,
      0.034083976508636295,
      0.0337549313894631,
      0.033429654386953465,
      0.033108102371137704,
      0.032790232648277136,
      0.03247600296566976,
      0.032165371619917144,
      0.03185829731934253,
      0.03155473928650306,
      0.03125465724181295,
      0.03095801139860716,
      0.03066476232980521,
      0.030374871090356397,
      0.030088299293928675,
      0.02980500886412908,
      0.029524962149417494,
      0.029248122065242566,
      0.02897445183431422,
      0.028703915106906168,
      0.02843647596145058,
      0.028172098932611366,
      0.027910748939276343,
      0.027652391271225513,
      0.027396991675851242,
      0.02714451619545131,
      0.02689493140008606,
      0.026648204116635377,
      0.02640430165528757,
      0.0261631916367993,
      0.025924842104371335,
      0.025689214063872683,
      0.025456251254438327,
      0.025225901498208542,
      0.024998119669690216,
      0.024772865804856898,
      0.02455010359001842,
      0.024329799628101525,
      0.024111922623913908,
      0.023896442819753862,
      0.02368333159883377,
      0.02347256135739197,
      0.02326410529790956,
      0.02305793722872513,
      0.02285403133738079,
      0.022652362369383647,
      0.022452905637338053,
      0.022255636574444012,
      0.022060531010348584,
      0.021867565114478044,
      0.021676715309111357,
      0.021487958310433434,
      0.021301271145551318,
      0.021116631119609888,
      0.020934015752371613,
      0.02075340278381054,
      0.020574770220529875,
      0.020398096343308383,
      0.020223359618805805,
      0.020050538825135782,
      0.019879612943045345,
      0.019710561137234912,
      0.01954336292280296,
      0.01937799796395092,
      0.01921444617240214,
      0.019052687635042604,
      0.018892702688521952,
      0.018734471861153224,
      0.018577975891943408,
      0.018423195820640035,
      0.018270112798709874,
      0.018118708238124226,
      0.017968963713002717,
      0.017820860957352323,
      0.017674382028837,
      0.017529509117346492,
      0.01738622456439578,
      0.017244510952903747,
      0.017104351096063168,
      0.01696572798897384,
      0.01682862472933598
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.78598624618824,
      10.569093438549341,
      10.34323420574293,
      10.111140500121309,
      9.875242727450438,
      9.63764277121989,
      9.400199114406725,
      9.164503396376281,
      8.931918639708204,
      8.703563938725251,
      8.480303341260994,
      8.262747083367179,
      8.051261655879664,
      7.845989890913392,
      7.646879709358976,
      7.453717871107515,
      7.266164972292186,
      7.083790693121023,
      6.906106283749392,
      6.732593458254941,
      6.562729248419097,
      6.396005173201116,
      6.231943258149989,
      6.07010757955633,
      5.910114643400807,
      5.751647086748204,
      5.594460234394131,
      5.438376672734218,
      5.283288723815663,
      5.129165294523709,
      4.9760420853673075,
      4.8240188092160174,
      4.67325252977569,
      4.523961031981524,
      4.376421006294411,
      4.2309575474148025,
      4.087932303943189,
      3.9477311961321133,
      3.8107575519126886,
      3.6774251527291284,
      3.5481294764662032,
      3.423230556540468,
      3.3030448424136076,
      3.1878391046750814,
      3.0778265015363484,
      2.9731652366785433,
      2.87396421465726,
      2.7802768547231413,
      2.692099990068511,
      2.609387855495637,
      2.5320423942291015,
      2.45990990267637,
      2.392774406259684,
      2.3303721544750045,
      2.272411761103371,
      2.2185778722608083,
      2.1685191411040456,
      2.1218453244259634,
      2.078149968611027,
      2.0370686230553225,
      1.9982451861219215,
      1.9613420794682106,
      1.9260887258924013,
      1.8922743806603395,
      1.8597324934527306,
      1.8283283432094815,
      1.797949855198082,
      1.7685005999231604,
      1.7399027139943937,
      1.7120924403284117,
      1.6850139715772496,
      1.6586201483228333,
      1.6328722473997266,
      1.607738205208751,
      1.583189799357431,
      1.5592016192014129,
      1.5357505174001413,
      1.5128152024368093,
      1.4903759334061886,
      1.468414288727722,
      1.4469129885705054,
      1.425855756662051,
      1.4052272108801354,
      1.3850127763351476,
      1.365198807266122,
      1.3457730218755795,
      1.3267236714535822,
      1.3080393234562888,
      1.2897089014545704,
      1.2717215997068285,
      1.2540667007481168,
      1.2367339478235313,
      1.2197136719316362,
      1.2029971226426648,
      1.1865760349771832,
      1.170442336406406,
      1.1545881783171723,
      1.1390059532006243,
      1.1236885686164813,
      1.1086300981995942,
      1.0938249055046905,
      1.079267199765812,
      1.0649511385386914,
      1.0508709070322915,
      1.0370207717599778,
      1.023395114948501,
      1.0099884569317228,
      0.9967954691083178,
      0.9838109802804865,
      0.9710302958414755,
      0.9584492054807787,
      0.9460635013733357,
      0.9338689810287387,
      0.9218614877132405,
      0.9100369373895156,
      0.8983913345268456,
      0.8869207825755484,
      0.8756214889309918,
      0.8644897676113822,
      0.853522038997562,
      0.8427149022703252,
      0.8320657977950043,
      0.8215724875224814,
      0.8112324746399519,
      0.8010431134479327,
      0.7910016825523043,
      0.7811054345828516,
      0.7713516292526896,
      0.761737555214311,
      0.7522601326491748,
      0.7429159348348913,
      0.7337017541217965,
      0.724614640195682,
      0.7156518629823981,
      0.7068109397376513,
      0.6980904474660821,
      0.6894893968276089,
      0.6810064442957339,
      0.6726400206574196,
      0.6643884169154457,
      0.6562498432402635,
      0.6482224698249937,
      0.6403044536673592,
      0.6324939573743231,
      0.6247891610759123,
      0.6171882707550347,
      0.6096895232351023,
      0.6022911888972898,
      0.5949915738544505,
      0.5877890205568865,
      0.5806819080407726,
      0.5736686515518297,
      0.5667477021907952,
      0.5599175461060001,
      0.5531767035224647,
      0.5465237280960953,
      0.5399572057874233,
      0.5334757544811359,
      0.5270780225014493,
      0.520762687782311,
      0.5145284573167415,
      0.5083740660755593,
      0.502298276036465,
      0.4962998756824668,
      0.49037767926289866,
      0.4845305257949215,
      0.47875727841877774,
      0.47305682380595354,
      0.4674280712407192,
      0.4618699522433607,
      0.45638141989897674,
      0.45096144809749433,
      0.4456090311201384,
      0.4403231829642257,
      0.43510293691738433,
      0.4299473448745369,
      0.42485547683181935,
      0.41982642078892146,
      0.41485928186654375,
      0.4099531817843696,
      0.40510725877770914,
      0.4003206668866434,
      0.39559257573797163,
      0.3909221701604261,
      0.3863086496343332,
      0.381751228009519,
      0.37724913303430596,
      0.3728016061805301,
      0.36840790225680387,
      0.3640672573020917,
      0.35977871115944554,
      0.35554127736830693,
      0.3513540741104662,
      0.3472162957435006,
      0.3431271927914586,
      0.33908605816432025,
      0.33509221724249005,
      0.3311450209908753,
      0.3272438411763506,
      0.32338806690953953,
      0.31957710202865597,
      0.31581036341964747,
      0.3120872795040257,
      0.3084072895901068,
      0.30476984304322075,
      0.30117439861637313,
      0.2976204241310688,
      0.2941073960499762,
      0.2906347991189528,
      0.28720212630742603,
      0.28380887832213914,
      0.28045471338226163,
      0.2771394790751555,
      0.2738629499648997,
      0.27062482273539,
      0.26742484037061875,
      0.26426277758958944,
      0.261138335701954,
      0.25805118304348557,
      0.2550010296285586,
      0.251987558254997,
      0.24901040843732097,
      0.24606919129018473,
      0.24316350035662124,
      0.2402929187926841,
      0.23745702433490037,
      0.2346553928464625,
      0.23188760088745192,
      0.22915322514600614,
      0.22645179377388552,
      0.22378281492107116,
      0.22114582740041488,
      0.21854039285734558,
      0.21596609042423365,
      0.21342251315944472,
      0.21090926541969712,
      0.20842596085027898,
      0.2059722511221053,
      0.20354801849791215,
      0.20115320139082152,
      0.1987876430056708,
      0.19645113637856587,
      0.19414343541758186,
      0.1918642581917578,
      0.18961329946425698,
      0.1873902394513426,
      0.18519474977066713,
      0.18302649756872685,
      0.180885148364528,
      0.17877036804142726,
      0.17668182407010943,
      0.17461918642646646,
      0.1725821281824021,
      0.17057032570823655,
      0.16858342528408637,
      0.16662105853580822,
      0.1646828786807969,
      0.16276855508874366,
      0.16087776943654838,
      0.15901021314617067,
      0.15716558569502345,
      0.1553435932715317,
      0.1535439478018737,
      0.1517663664722674,
      0.15001057101330775,
      0.14827628747515215,
      0.14656328889565354,
      0.14487141079847668,
      0.1432004681758153,
      0.1415502527041439,
      0.13992054103646914,
      0.13831110057861826,
      0.1367216931658001,
      0.13515207806674942,
      0.1336020136135459,
      0.13207125855223245,
      0.13055957283249608,
      0.12906671833630862,
      0.12759245915994058,
      0.12613656173713284,
      0.12469879524269158,
      0.12327893152744915,
      0.12187674522093073,
      0.12049201378536262,
      0.11912451743272537,
      0.11777403915873631,
      0.11644036480503045,
      0.11512328293998156,
      0.11382258484383126,
      0.11253806456663511,
      0.11126951876634188,
      0.11001674675279625,
      0.10877955029257,
      0.10755773377220575,
      0.10635110412180018,
      0.10515947086842158,
      0.10398264590583518,
      0.10282044351402783,
      0.10167268032948797,
      0.10053917548289978,
      0.09941975033195269,
      0.09831422847518848,
      0.09722243586953778,
      0.09614420068201408,
      0.0950793532067601,
      0.09402772602493094,
      0.09298915380338535,
      0.09196347324112905,
      0.09095052321340995,
      0.08995014462472839,
      0.08896218038365691,
      0.08798647540996138,
      0.08702287663660556,
      0.086071190358081,
      0.08513119592394808,
      0.08420269686864494,
      0.08328551559207295,
      0.08237948802955451,
      0.08148446018688615,
      0.08060028548032375,
      0.07972682305949971,
      0.07886393651747531,
      0.0780114929042544,
      0.07716936225566796,
      0.07633741710497544,
      0.07551553132987752,
      0.07470354092431847,
      0.07390126316356838,
      0.07310853714633198,
      0.07232521756677485,
      0.07155117049082856,
      0.07078627025788063,
      0.07003039750218695,
      0.06928343768824519,
      0.06854527990645311,
      0.06781581622326598,
      0.0670949412207799,
      0.06638255148237672,
      0.0656785453626954,
      0.06498282292316353,
      0.06429528574044602,
      0.06361583666340012,
      0.06294437983240525,
      0.06228082063349995,
      0.06162506567321469,
      0.06097702277692335,
      0.06033660094108567,
      0.05970368991471082,
      0.059078154889132366,
      0.05845987270305403,
      0.05784873275251262,
      0.05724463372196612,
      0.0566474809969159,
      0.056057185117199544,
      0.05547366043131825,
      0.05489682439238019,
      0.05432659673854691,
      0.05376289918512259,
      0.05320565503470748,
      0.052654788968812004,
      0.05211022697191908,
      0.05157189609799297,
      0.05103972434328834,
      0.05051364082774285,
      0.04999357555145616,
      0.04947945950441028,
      0.04897122717455841,
      0.04846881498621577,
      0.0479721588109244,
      0.04748119448804302,
      0.04699585799499034,
      0.04651608575152868,
      0.046041814467816945,
      0.04557298139424578,
      0.04510952442387854,
      0.0446513820159937,
      0.04419849332219474,
      0.04375079811161056,
      0.04330823686394131,
      0.04287075065192992,
      0.04243828110261601,
      0.04201077064694267,
      0.041588162377929984,
      0.0411704000199082,
      0.04075742796315884,
      0.040349191161720185,
      0.039945635214589305,
      0.03954670648412917,
      0.039152351765992584,
      0.03876251851728053,
      0.0383771547563923,
      0.037996209210042875,
      0.037619631202103085,
      0.03724737056069807,
      0.036879377737383555,
      0.0365156037248261,
      0.0361560001293715,
      0.035800519080705105,
      0.03544911325151089,
      0.03510173590171013,
      0.03475834074018055,
      0.03441888210668374,
      0.034083314761450705,
      0.03375159412822419,
      0.03342367605973117,
      0.03309951684304688,
      0.03277907339459778,
      0.03246230309159104,
      0.03214916380264721,
      0.03183961399025302,
      0.0315336123192484,
      0.031231118026313977,
      0.030932090897252285,
      0.030636491189309535,
      0.030344279599676,
      0.030055417254832344,
      0.029769865746154724,
      0.029487587071832598,
      0.02920854366634132,
      0.028932698405954582,
      0.0286600146512579,
      0.028390456125897533,
      0.028123987016379734,
      0.02786057187007477,
      0.027600175701303537,
      0.02734276388923097,
      0.02708830214428576,
      0.02683675671412988,
      0.026588094149808117,
      0.026342281298726296,
      0.02609928553423875,
      0.025859074503846183,
      0.025621616330056694,
      0.025386879399682302,
      0.025154832574033906,
      0.024925431912289922,
      0.024698621666043263,
      0.024474352963837,
      0.02425258334728355,
      0.024033274855636992,
      0.02381639295814777,
      0.023601905512281432,
      0.023389782396445617,
      0.023179994819260055,
      0.022972515140081282,
      0.02276731657630153,
      0.0225643730474578,
      0.022363659114523465,
      0.022165149701983838,
      0.02196882021594686,
      0.02177464645410666,
      0.02158260456811824,
      0.021392671001948065,
      0.02120482250132614,
      0.021019036060811982,
      0.020835288998960335,
      0.020653558920290343,
      0.02047382364028839,
      0.02029606121285203,
      0.02012025001606504,
      0.019946368597446064,
      0.019774395736157878,
      0.01960431043617572,
      0.019436092002957272,
      0.019269719924129163,
      0.019105173916269983,
      0.018942433953600436,
      0.018781480189361606,
      0.01862229299260838,
      0.018464853074642414,
      0.018309141184449162,
      0.01815513835771913,
      0.01800282581688268,
      0.017852184986647007,
      0.017703197516357967,
      0.017555845291010133,
      0.017410110296406663,
      0.017265974828553205,
      0.01712342132222348,
      0.016982432377619802,
      0.016842990813041466,
      0.016705079603685526,
      0.016568682012229
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785980783338307,
      10.569068310819215,
      10.343178533764252,
      10.111047567890623,
      9.875108852961946,
      9.637465960586749,
      9.39997891027844,
      9.164240406889713,
      8.931614152249129,
      8.703219683343487,
      8.479921264965032,
      8.262329050385125,
      8.050809324420845,
      7.845504632024655,
      7.646362510259985,
      7.45316929149352,
      7.265585285258032,
      7.083179926895071,
      6.905464281449865,
      6.731919949506903,
      6.562023925647337,
      6.395267844304646,
      6.231173873165273,
      6.069306007301237,
      5.909280910696533,
      5.750781650460426,
      5.593564107447239,
      5.43745139532385,
      5.282336340138915,
      5.128188449452294,
      4.975044124750514,
      4.8230034843902,
      4.672223940303466,
      4.522923695593144,
      4.375379795042511,
      4.229917603271779,
      4.086898938108881,
      3.9467098118951083,
      3.8097538726241944,
      3.6764449645617177,
      3.54717811878229,
      3.4223128326005137,
      3.3021649473961316,
      3.1870005735851756,
      3.0770321798943248,
      2.972417267239881,
      2.8732640585655598,
      2.779625047381707,
      2.691496329843143,
      2.608831468423203,
      2.5315313239486965,
      2.459441126853441,
      2.392343832390154,
      2.329975385429249,
      2.2720440222098723,
      2.218234278435549,
      2.1681945857879787,
      2.12153447788888,
      2.077847868320297,
      2.0367709832444056,
      1.9979478477296637,
      1.9610416781817435,
      1.9257827639051965,
      1.8919610372881874,
      1.8594104460765757,
      1.8279966614325271,
      1.7976078205449395,
      1.7681477184395085,
      1.739538700010407,
      1.7117171824572288,
      1.6846275023790316,
      1.6582225617891042,
      1.6324635108841128,
      1.607318292041309,
      1.5827587596192836,
      1.5587595558396747,
      1.5352975696384557,
      1.512351533953959,
      1.4899017230017353,
      1.4679297237821856,
      1.4464182610448226,
      1.425351059853055,
      1.4047127379451934,
      1.384488718292511,
      1.3646653637408621,
      1.3452304073568133,
      1.3261720877608991,
      1.3074789621332414,
      1.2891399449502299,
      1.2711442730702016,
      1.2534812782749667,
      1.2361406646350999,
      1.2191127614293304,
      1.2023888371928215,
      1.185960589902618,
      1.1698199203256083,
      1.1539589596737854,
      1.1383700860911665,
      1.123046230425925,
      1.1079814756722306,
      1.0931701689672493,
      1.0786065015201478,
      1.0642846176614424,
      1.0501986925471967,
      1.0363429846939571,
      1.0227118703915021,
      1.0092998651344283,
      0.9961016363815468,
      0.9831120685951203,
      0.9703266434517986,
      0.957741112583159,
      0.9453512003896093,
      0.9331526570113603,
      0.9211412926096264,
      0.9093129995124617,
      0.8976637657416603,
      0.8861896829109822,
      0.8748869499963912,
      0.8637518747245971,
      0.8527808729941141,
      0.841970638297357,
      0.8313187491364656,
      0.8208228874769482,
      0.810480502072558,
      0.8002889095415396,
      0.7902453620199689,
      0.7803470939116064,
      0.7705913519982872,
      0.7609754158850265,
      0.7514962005623934,
      0.7421502742916531,
      0.7329344246383995,
      0.7238456986496624,
      0.7148813643719112,
      0.7060390898571591,
      0.6973176704500667,
      0.6887159949471776,
      0.680232636796364,
      0.671865968990679,
      0.6636142423969689,
      0.6554756394717993,
      0.6474483109332101,
      0.6395304005708714,
      0.6317200614856081,
      0.6240154674598585,
      0.6164148196324889,
      0.6089163513121808,
      0.601518330779408,
      0.5942190625054102,
      0.587016887670065,
      0.5799101842218133,
      0.5728973667966104,
      0.5659768855919187,
      0.5591472262120929,
      0.5524069083838135,
      0.5457544854559315,
      0.5391885430370464,
      0.5327076985066745,
      0.5263105998538821,
      0.5199959247394395,
      0.5137623796333651,
      0.507608699210151,
      0.5015336453207003,
      0.4955360061040411,
      0.48961459511448413,
      0.4837682510541766,
      0.47799583674085966,
      0.47229623848454155,
      0.46666836531610634,
      0.4611111484020376,
      0.45562354036685715,
      0.45020451483340695,
      0.4448530656220887,
      0.4395682065025831,
      0.43434897030508496,
      0.4291944086137251,
      0.4241035911537766,
      0.41907560543473954,
      0.4141095562183814,
      0.409204565093917,
      0.40435976970346255,
      0.39957432391649744,
      0.3948473969203282,
      0.3901781731105858,
      0.3855658516377481,
      0.38100964599354875,
      0.37650878361197443,
      0.3720625057153266,
      0.3676700666440781,
      0.36333067613618,
      0.3590433358643212,
      0.3548070795935711,
      0.3506210394005865,
      0.34648441911887456,
      0.34239647599009826,
      0.3383565074389588,
      0.3343638418844206,
      0.33041783225693316,
      0.3265178515134208,
      0.3226632895753408,
      0.3188535507006867,
      0.3150880519562732,
      0.3113662219586105,
      0.30768749991854444,
      0.3040513350508878,
      0.30045718599153315,
      0.2969045202470654,
      0.2933928139934088,
      0.28992155167684247,
      0.2864902259259673,
      0.28309833715157817,
      0.2797455890516435,
      0.2764318345206937,
      0.2731568317006249,
      0.2699202845725022,
      0.2667219629257567,
      0.2635616216516174,
      0.26043894495128084,
      0.2573536083226674,
      0.2543053206119793,
      0.25129375030470175,
      0.24831852674209517,
      0.24537925409910927,
      0.24247552087442395,
      0.23960690655877181,
      0.23677298626911172,
      0.2339733340670367,
      0.23120752510122147,
      0.2284751282671025,
      0.22577566083551176,
      0.2231086358834116,
      0.22047359544018744,
      0.21787010316665106,
      0.2152977397534093,
      0.2127560992375957,
      0.21024478654318526,
      0.207763415777385,
      0.20531176738385415,
      0.20288979461087173,
      0.20049737101147638,
      0.19813430469997095,
      0.19580036318608599,
      0.1934952737943931,
      0.19121873615167634,
      0.18897043235771244,
      0.1867500337612112,
      0.18455720581736587,
      0.18239161152923153,
      0.1802529134859235,
      0.17814077553672805,
      0.17605486375120172,
      0.1739948470254112,
      0.17196039769318033,
      0.16995119186471264,
      0.16796688122017828,
      0.1660070978170229,
      0.16407149276839134,
      0.16215973389166383,
      0.1602715017674907,
      0.15840648724893325,
      0.15656438929850902,
      0.15474491372983099,
      0.1529477722325395,
      0.1511726817339786,
      0.14941936386620963,
      0.1476875964932183,
      0.14597721304770025,
      0.14428802262180734,
      0.14261981165143556,
      0.1409723521145269,
      0.13934540717702895,
      0.13773873477924384,
      0.1361520903978005,
      0.13458522886045085,
      0.13303790543060642,
      0.13150987682091636,
      0.13000090168859524,
      0.12851074086870473,
      0.1270391578235524,
      0.12558591863562235,
      0.12415079216770533,
      0.1227335500853843,
      0.12133396699028527,
      0.1199518202510244,
      0.11858689011671797,
      0.11723895967430788,
      0.11590781483453638,
      0.11459324417445677,
      0.11329503906869072,
      0.1120129936200758,
      0.1107469045548669,
      0.10949657119038556,
      0.10826179548146686,
      0.10704238195479925,
      0.1058381376586268,
      0.10464887205071684,
      0.10347439710473025,
      0.10231452721531262,
      0.1011690791687152,
      0.10003787210889956,
      0.09892072750547397,
      0.09781746909173314,
      0.09672792286757027,
      0.09565191703419818,
      0.09458928202546438,
      0.09353985048987,
      0.0925034571977132,
      0.09147993891758611,
      0.09046913464334745,
      0.08947088535823708,
      0.08848503409261765,
      0.08751142594414911,
      0.08654990788305564,
      0.08560029034955466,
      0.08466235331079211,
      0.08373589911805773,
      0.08282074933483048,
      0.08191673943521025,
      0.08102371505712586,
      0.08014152943949261,
      0.07927004151507676,
      0.07840911485835818,
      0.07755861650147602,
      0.07671841647891506,
      0.075888387459878,
      0.0750684042280719,
      0.07425831467994701,
      0.0734579369235182,
      0.07266710609648334,
      0.07188567405155465,
      0.07111350492763108,
      0.07035047182765278,
      0.06959645447568301,
      0.06885133765008629,
      0.06811501010981325,
      0.06738736371766632,
      0.066668292864448,
      0.06595769403642372,
      0.065255465587971,
      0.0645615074862707,
      0.06387572126248389,
      0.06319800984792691,
      0.06252827755548494,
      0.06186642984029604,
      0.06121237336083248,
      0.0605660159200579,
      0.05992726649703507,
      0.0592960309753648,
      0.05867218483710324,
      0.05805559709501962,
      0.05744615175829966,
      0.056843743675452474,
      0.05624827553757808,
      0.055659656057287815,
      0.05507779823404994,
      0.05450261854957682,
      0.05393403616034039,
      0.053371972374088396,
      0.05281635023941357,
      0.052267094269597705,
      0.05172413030533311,
      0.05118738539857362,
      0.05065678764695552,
      0.050132266041676345,
      0.049613750678304584,
      0.049101172488295944,
      0.048594465692562164,
      0.048093566754360106,
      0.04759841177249908,
      0.04710893675137675,
      0.04662507786730512,
      0.04614677154154159,
      0.04567395461263147,
      0.045206564418074593,
      0.04474453890349647,
      0.044287816664099894,
      0.043836336858083545,
      0.04339003944053108,
      0.04294886480526195,
      0.04251275408383507,
      0.04208164909418074,
      0.04165549229832983,
      0.041234226861145105,
      0.04081779658774519,
      0.040406145955622585,
      0.039999219999979664,
      0.03959696438543238,
      0.03919932544533214,
      0.03880625009005971,
      0.03841768587027084,
      0.038033580915199705,
      0.03765388394649077,
      0.037278544408821834,
      0.036907512228031944,
      0.03654073785727117,
      0.03617817241432092,
      0.0358197674841441,
      0.03546547540716459,
      0.03511524882565905,
      0.034769040995057274,
      0.034426805846108084,
      0.03408849774442,
      0.03375407149657664,
      0.033423482545773424,
      0.03309668684201364,
      0.0327736407939458,
      0.03245430137840842,
      0.03213862600724216,
      0.03182657253868031,
      0.03151809944985642,
      0.03121316561712701,
      0.030911730339619997,
      0.03061375341552263,
      0.030319195032409367,
      0.030028016056789314,
      0.029740177804690363,
      0.029455641798057864,
      0.029174370142142286,
      0.028896325412261014,
      0.028621470523127253,
      0.028349768885943587,
      0.02808118424921401,
      0.027815680922752675,
      0.02755322352009242,
      0.027293776963180284,
      0.02703730669816034,
      0.026783778547249146,
      0.026533158803972536,
      0.02628541405021141,
      0.026040511206644485,
      0.025798417711873505,
      0.02555910133428558,
      0.025322530214415658,
      0.025088672838871753,
      0.024857498088573387,
      0.024628975196283005,
      0.02440307292702186,
      0.024179744181583487,
      0.023958934893338217,
      0.023740598907329807,
      0.02352469573099603,
      0.023311189192725113,
      0.023100046094710044,
      0.02289123555839272,
      0.022684728423110274,
      0.022480496807552226,
      0.02227851386058005,
      0.02207875367196486,
      0.021881190852653918,
      0.0216858005500688,
      0.021492558426832543,
      0.021301440508188777,
      0.021112423259877014,
      0.02092548332405165,
      0.020740597712451903,
      0.020557743773411765,
      0.02037689913344634,
      0.02019804166990515,
      0.020021149545130568,
      0.01984620105715615,
      0.019673174891920032,
      0.019502049944171908,
      0.019332805247451967,
      0.01916542015268908,
      0.018999874202790784,
      0.018836147128661808,
      0.018674218941586832,
      0.018514069880206183,
      0.018355680383903825,
      0.0181990312198096,
      0.018044103171787694,
      0.0178908773024478,
      0.017739334936018532,
      0.017589457502317087,
      0.017441226794932548,
      0.017294624715199478,
      0.017149633302977505,
      0.01700623482530516,
      0.01686441186581838,
      0.01672414702108923,
      0.016585423144148542,
      0.01644822338525688,
      0.016312531068617964
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785975332593678,
      10.569043241462559,
      10.34312299638313,
      10.110954870265184,
      9.8749753360774,
      9.637289652257861,
      9.399759365623233,
      9.163978245879834,
      8.931310617611658,
      8.702876516217998,
      8.479540422626503,
      8.26191240296836,
      8.050358534698944,
      7.845021074593941,
      7.645847177066056,
      7.452622746217557,
      7.26500780321525,
      7.082571539291073,
      6.904824835766667,
      6.731249178762778,
      6.561321525292736,
      6.3945336270174735,
      6.230407711112108,
      6.068507705942444,
      5.908450514819401,
      5.749919632482289,
      5.59267149438155,
      5.436529738347965,
      5.281387691839507,
      5.127215459310331,
      4.974050141496924,
      4.821992259974231,
      4.671199573177951,
      4.521890699305592,
      4.374343033196104,
      4.228882205885447,
      4.085870201576654,
      3.9456931227015044,
      3.8087549336289683,
      3.675469539628632,
      3.5462315244912705,
      3.4213998488380866,
      3.3012897464149993,
      3.1861666690641677,
      3.0762423979504465,
      2.971673733890854,
      2.8725682201473313,
      2.7789774257273065,
      2.690896712114017,
      2.6082789720195705,
      2.531023987547928,
      2.4589759274303167,
      2.3919166807029293,
      2.32958189166783,
      2.2716794244525023,
      2.2178937043443288,
      2.1678729434395008,
      2.1212264529532137,
      2.077548513578836,
      2.036475963857219,
      1.9976530344062975,
      1.9607437337173974,
      1.9254792137073484,
      1.891650078171107,
      1.8590907686072284,
      1.8276673460379191,
      1.7972681568053568,
      1.7677972179505443,
      1.7391770820161245,
      1.7113443395347594,
      1.6842434696896245,
      1.657827434914753,
      1.6320572918824077,
      1.6069009441342659,
      1.5823303264420754,
      1.5583201362373909,
      1.5348472997560738,
      1.5118905747546085,
      1.4894302515427897,
      1.467447926624353,
      1.4459263292339677,
      1.4248491860820416,
      1.4042011144166726,
      1.383967535277755,
      1.3641348309059573,
      1.344690735913923,
      1.3256234771777413,
      1.306921601964453,
      1.2885740167800976,
      1.2705699949816536,
      1.2528989259879602,
      1.2355504738770537,
      1.218514966051529,
      1.2017836896008007,
      1.1853483058101895,
      1.1692006880766181,
      1.1533329478390193,
      1.137737448175832,
      1.1224071440297239,
      1.107336127339161,
      1.0925187286618605,
      1.0779491215786177,
      1.0636214369793897,
      1.0495298400053592,
      1.0356685815186084,
      1.0220320315010278,
      1.0086147006938966,
      0.9954112525988773,
      0.9824167006763265,
      0.969626646557423,
      0.9570367569462302,
      0.9446426976979692,
      0.9324401777171808,
      0.9204249784828191,
      0.9085929718671802,
      0.89694013158896,
      0.8854625389976987,
      0.87415638570437,
      0.8630179737845112,
      0.8520437152386555,
      0.8412304206923177,
      0.8305757761188517,
      0.8200773866604579,
      0.8097326484570669,
      0.7995388413363468,
      0.7894931922038764,
      0.779592917554679,
      0.7698352518562495,
      0.7602174659742005,
      0.750736470063861,
      0.7413888274948401,
      0.7321713212472597,
      0.7230809958514716,
      0.7141151173669692,
      0.7052715717966904,
      0.6965492823617615,
      0.6879470237450881,
      0.6794632909531826,
      0.671096402515626,
      0.6628445715291222,
      0.6547059542205336,
      0.6466786832288487,
      0.6387608895818637,
      0.6309507174158766,
      0.6232463341668676,
      0.6156459367361902,
      0.6081477554702541,
      0.6007500563868391,
      0.5934511421766984,
      0.58624935278578,
      0.5791430651849603,
      0.572130693203321,
      0.5652106865455575,
      0.5583815302739985,
      0.5516417437195517,
      0.5449898795417804,
      0.5384245229183718,
      0.5319442910233901,
      0.5255478315548971,
      0.5192338216123241,
      0.5130009675136277,
      0.5068480035999423,
      0.500773691150097,
      0.49477681794351586,
      0.48885619733036967,
      0.4830106675768978,
      0.47723909123415015,
      0.47154035430550933,
      0.4659133654444091,
      0.46035705549021244,
      0.4548703767601181,
      0.449452302456575,
      0.44410182616659033,
      0.43881796094682274,
      0.4335997394208833,
      0.4284462128061553,
      0.4233564504996565,
      0.418329539716114,
      0.41336458482425337,
      0.4084607068914849,
      0.4036170434129403,
      0.3988327478454664,
      0.39410698912630837,
      0.38943895112657884,
      0.38482783272709636,
      0.38027284699347125,
      0.3757732211032766,
      0.37132819580646337,
      0.36693702528491257,
      0.3625988773766039,
      0.3583127364799949,
      0.35407765486657194,
      0.34989277734005625,
      0.34575731673755666,
      0.3416705361193688,
      0.33763173689884884,
      0.33364025031401345,
      0.3296954311563499,
      0.32579665358287474,
      0.32194330808191585,
      0.31813479944313217,
      0.31437054498766914,
      0.3106499733333949,
      0.30697252359048083,
      0.30333764474272046,
      0.2997447951897764,
      0.29619344224453303,
      0.2926830617383254,
      0.2892131378862138,
      0.2857831628910173,
      0.2823926490903381,
      0.27904133965850836,
      0.2757290804273271,
      0.27245561498196424,
      0.2692206645017899,
      0.2660240182378601,
      0.26286540863896657,
      0.25974450417073597,
      0.2566609915272112,
      0.2536145746086881,
      0.2506049084839831,
      0.24763161296635428,
      0.24469428552358352,
      0.24179250978716352,
      0.23892586194656262,
      0.23609391477163466,
      0.23329624056432618,
      0.23053241319159473,
      0.22780199361786144,
      0.22510448855136111,
      0.22243941583092175,
      0.21980632056184057,
      0.21720476881275194,
      0.21463434267805007,
      0.2120946372351364,
      0.20958525799841216,
      0.20710587814130904,
      0.20465641715812796,
      0.2022367874811554,
      0.19984681608556698,
      0.19748628572939209,
      0.1951549356015033,
      0.19285247183964782,
      0.19057857956500346,
      0.18833293064282944,
      0.18611518938799218,
      0.18392501646603265,
      0.18176207144988402,
      0.17962601460266864,
      0.17751650807110764,
      0.17543321688907626,
      0.17337580928638377,
      0.17134395701678387,
      0.169337335782562,
      0.16735560300463248,
      0.16539839137314494,
      0.16346534974945587,
      0.16155614445497965,
      0.1596704550692633,
      0.15780797154019208,
      0.15596839236047536,
      0.15415142290591421,
      0.15235677473807568,
      0.15058416456382223,
      0.14883337361463914,
      0.14710423310678666,
      0.14539654626235926,
      0.14371009436743146,
      0.14204464484467147,
      0.14039995654711215,
      0.13877578350845868,
      0.13717187755859994,
      0.13558798987830245,
      0.13402387226284668,
      0.13247927807310864,
      0.13095396268828388,
      0.12944768379194563,
      0.12796020168366107,
      0.12649127941432925,
      0.12504068278980066,
      0.12360818052315874,
      0.12219354423715116,
      0.12079654845682353,
      0.11941697068803132,
      0.1180545912256068,
      0.1167091931744002,
      0.11538056242188474,
      0.11406848776044584,
      0.11277276057363753,
      0.11149317496384209,
      0.11022952771088015,
      0.1089816182648189,
      0.10774924861461904,
      0.10653222343868035,
      0.10533034983836156,
      0.10414343736604169,
      0.10297129808702314,
      0.10181374643377548,
      0.10067059929093823,
      0.09954167596808364,
      0.09842679793262354,
      0.09732578898301238,
      0.0962384752453581,
      0.09516468500636584,
      0.09410424885334659,
      0.09305699942736485,
      0.09202277169921141,
      0.0910014025283825,
      0.0899927308584007,
      0.0889965978369915,
      0.08801284662595087,
      0.08704132229459906,
      0.0860818719301056,
      0.08513431047755246,
      0.08419841871037761,
      0.08327399762509487,
      0.08236086793129832,
      0.08145886445698973,
      0.08056783249788926,
      0.07968762505907445,
      0.07881810093092281,
      0.07795912359182093,
      0.07711056006805944,
      0.07627228040223123,
      0.07544415721849024,
      0.07462606535812338,
      0.07381786546873935,
      0.0730193774669963,
      0.07223043228504876,
      0.07145087887036446,
      0.07068057922715722,
      0.0699194050159028,
      0.06916723502341708,
      0.06842395340129542,
      0.06768944848192382,
      0.06696361174377961,
      0.06624633735820326,
      0.06553752173378084,
      0.0648370631866891,
      0.06414486178704262,
      0.06346081902395491,
      0.06278483788347637,
      0.06211682265195919,
      0.061456678810096525,
      0.06080431310674939,
      0.06015963350367645,
      0.05952254905812832,
      0.05889296991143605,
      0.05827079139374764,
      0.05765588142337673,
      0.057048117219668584,
      0.056447388827816476,
      0.05585359570897736,
      0.05526664416212366,
      0.054686445605500844,
      0.05411291536187362,
      0.05354597182105455,
      0.05298553557300586,
      0.05243152938911088,
      0.05188387766481098,
      0.05134250613245107,
      0.050807341687502186,
      0.05027831236211434,
      0.049755347204663625,
      0.04923837624583303,
      0.04872733038871374,
      0.04822214368737847,
      0.04772275275729096,
      0.04722909383478635,
      0.04674110305418948,
      0.04625871656512495,
      0.04578187097103914,
      0.04531050318743693,
      0.04484455063530358,
      0.04438395131220252,
      0.04392864395799512,
      0.04347856780662524,
      0.04303366274700436,
      0.04259386941963695,
      0.042159129061650494,
      0.04172938352570052,
      0.0413045753618378,
      0.04088464771452569,
      0.040469544450742204,
      0.04005921006188356,
      0.039653589673039426,
      0.03925262908663533,
      0.03885627470445544,
      0.038464473544440714,
      0.038077173170594114,
      0.037694321905026446,
      0.03731586856890901,
      0.036941762495807925,
      0.03657195371868877,
      0.03620639283204257,
      0.03584503102159023,
      0.035487819892616186,
      0.03513471174865341,
      0.03478565943352027,
      0.034440616293604655,
      0.0340995362084353,
      0.033762373680986286,
      0.0334290836248422,
      0.033099621445473584,
      0.03277394318401383,
      0.03245200538046137,
      0.03213376505002131,
      0.03181917966131968,
      0.03150820722766239,
      0.031200806209777675,
      0.030896935515420436,
      0.030596554542254472,
      0.030299623127112936,
      0.03000610168470075,
      0.02971595106229402,
      0.029429132459618295,
      0.029145607601485452,
      0.028865338597622362,
      0.02858828809337466,
      0.028314419059675,
      0.028043694944132547,
      0.02777607966464343,
      0.027511537525360473,
      0.027250033083412374,
      0.026991531455257865,
      0.026735998180297302,
      0.0264833991557857,
      0.02623370065290581,
      0.025986869289485088,
      0.02574287216652083,
      0.02550167675526252,
      0.025263250801637036,
      0.025027562556075675,
      0.024794580614171106,
      0.024564273790501474,
      0.02433661139726637,
      0.02411156302216731,
      0.023889098654340343,
      0.023669186192027184,
      0.023451777424244948,
      0.023236820859507627,
      0.023024272355289702,
      0.02281409307110319,
      0.02260624810465631,
      0.02240070550303659,
      0.022197435361385395,
      0.02199640937512776,
      0.02179760051909217,
      0.02160098279541931,
      0.02140653081990048,
      0.02121421982432117,
      0.02102402565494454,
      0.020835924652209906,
      0.020649893367291394,
      0.020465908769148614,
      0.020283948281407567,
      0.020103989515827557,
      0.01992601034993133,
      0.0197499888656004,
      0.01957590353049462,
      0.019403733049867585,
      0.019233456346765116,
      0.019065052504874117,
      0.01889850088363708,
      0.018733781126397977,
      0.018570873144169785,
      0.018409756916016408,
      0.018250412728686338,
      0.018092821029174394,
      0.017936962628079072,
      0.017782818420683865,
      0.01763036955390113,
      0.017479597345781896,
      0.017330483390589974,
      0.017183009473692536,
      0.017037157474751305,
      0.01689290954478882,
      0.016750248067958006,
      0.016609155560586272,
      0.016469614780788018,
      0.016331608775296155,
      0.01619512060304643,
      0.016060133574095636
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785969893954356,
      10.569018228038502,
      10.343067579419928,
      10.11086236761494,
      9.874842120068287,
      9.637113774844218,
      9.399540396975048,
      9.163716818101552,
      8.931007981987948,
      8.702534418974038,
      8.479160822187291,
      8.261497172541581,
      8.049909338428334,
      7.84453928711212,
      7.645333790175666,
      7.452078322577072,
      7.264432618497584,
      7.0819656266478574,
      6.904188044216691,
      6.7305812443274995,
      6.560622148079353,
      6.393802623954448,
      6.229644908331033,
      6.067712870013574,
      5.907623704883567,
      5.749061332722946,
      5.591782741246285,
      5.435612090284831,
      5.280443205205034,
      5.1262467859029925,
      4.97306063051137,
      4.820985661373125,
      4.670179981018005,
      4.5208626197554524,
      4.373311319196179,
      4.227851973752333,
      4.084846731107592,
      3.94468178135138,
      3.8077614023545,
      3.6744995584004823,
      3.5452903855944866,
      3.420492307589964,
      3.3004199500898364,
      3.185338107052791,
      3.0754578742615766,
      2.9709353531649536,
      2.8718774103872025,
      2.778334692822099,
      2.690301830013559,
      2.6077310481198666,
      2.5305210548509542,
      2.4585149606396564,
      2.3914935917773557,
      2.3291922966704446,
      2.2713185724882563,
      2.217556735496385,
      2.1675547532447106,
      2.1209216650797007,
      2.07725222173949,
      2.0361838109087236,
      1.997360929030883,
      1.960448375034091,
      1.9251781643920531,
      1.8913415634331885,
      1.8587735005755641,
      1.82734042111513,
      1.7969308773928623,
      1.76744910531069,
      1.7388178618878656,
      1.7109739090782143,
      1.6838618678486295,
      1.6574347603500172,
      1.6316535963729153,
      1.6064861776005444,
      1.5819045229812427,
      1.5578833879090235,
      1.534399738013996,
      1.511432356898404,
      1.4889615516382253,
      1.4669689292680896,
      1.4454372246871938,
      1.424350166465245,
      1.4036923714698957,
      1.3834492588677816,
      1.3636072311147514,
      1.3441540230020812,
      1.3250778500223928,
      1.306367249686022,
      1.2880111199716426,
      1.2699987397601487,
      1.2523195717337723,
      1.2349632718098373,
      1.2179201756429328,
      1.201181566217361,
      1.1847390667902322,
      1.1685845233234278,
      1.1527100273176745,
      1.1371079260627717,
      1.1217712040783272,
      1.1066939597551777,
      1.091870500261007,
      1.0772949821597644,
      1.0629615237114942,
      1.0488642805952915,
      1.0349974965177624,
      1.0213555357520472,
      1.0079329042737066,
      0.9947242613598868,
      0.9817248239558619,
      0.9689302142506484,
      0.9563360224241121,
      0.9439378605293106,
      0.9317314002913283,
      0.9197123969682454,
      0.9078767038653219,
      0.8962202812091279,
      0.8847392009389797,
      0.8734296477927094,
      0.8622879190892118,
      0.8513104226009742,
      0.8404941534422989,
      0.8298368157751541,
      0.8193359457541459,
      0.8089888913800624,
      0.7987928992217431,
      0.7887451729394162,
      0.7788429126324252,
      0.7690833413966416,
      0.7594637220377852,
      0.749980961667832,
      0.7406316193080609,
      0.7314124733365445,
      0.7223205655720139,
      0.7133531598912706,
      0.704508432353035,
      0.6957853372048258,
      0.6871825432989696,
      0.6786984718548358,
      0.6703313906926288,
      0.6620794775955481,
      0.6539408645929813,
      0.6459136671702584,
      0.6379960041533469,
      0.6301860116216682,
      0.6224818511856857,
      0.6148817157725854,
      0.607383832492361,
      0.5999864651019289,
      0.592687914891619,
      0.5854865206963707,
      0.5783806587066627,
      0.5713687419365531,
      0.5644492196143385,
      0.5576205760968681,
      0.5508813300519577,
      0.5442300339941932,
      0.5376652727556153,
      0.5311856631863242,
      0.5247898522680329,
      0.5184765169765273,
      0.5122443632019346,
      0.5060921250561015,
      0.500018563374058,
      0.4940224656264373,
      0.4881026449076413,
      0.4822579391224122,
      0.47648721027292473,
      0.47078934405192946,
      0.46516324872960313,
      0.4596078547347786,
      0.45412211399203956,
      0.44870499939963926,
      0.4433555042472458,
      0.43807264139783214,
      0.43285544297326844,
      0.4277029598333929,
      0.4226142610805123,
      0.41758843346382873,
      0.41262458091389076,
      0.40772182420914105,
      0.4028793005479893,
      0.39809616295126427,
      0.3933715799537849,
      0.3887047353076353,
      0.3840948273927841,
      0.3795410690488312,
      0.37504268701486115,
      0.3705989217669814,
      0.3662090270683334,
      0.3618721209587836,
      0.3575871816746631,
      0.35335327894628465,
      0.3491695697493688,
      0.34503527517034566,
      0.34094966420098266,
      0.3369120421289426,
      0.33292174261895585,
      0.32897812218625877,
      0.3250805562669481,
      0.3212284360207913,
      0.31742116635249584,
      0.3136581646746691,
      0.3099388595822372,
      0.30626269021110286,
      0.30262910542713234,
      0.29903756332766634,
      0.2954875309648761,
      0.291978483961164,
      0.2885099062189608,
      0.2850812896873032,
      0.2816921697758924,
      0.2783423234382572,
      0.2750315780136251,
      0.2717596642172035,
      0.26852633794259906,
      0.26533138701850395,
      0.26217452364378246,
      0.25905540995025894,
      0.25597374131871525,
      0.2529292095281699,
      0.2499214578738495,
      0.24695009796327969,
      0.24401472128322532,
      0.24111490732928745,
      0.23825022924463848,
      0.23542025766444316,
      0.2326245633403544,
      0.22986271903852676,
      0.22713427350394033,
      0.22443872898721917,
      0.22177560752783573,
      0.21914445724653256,
      0.21654484614183062,
      0.21397635764200465,
      0.21143858761720732,
      0.20893114221676137,
      0.20645384814882886,
      0.204006660914653,
      0.20158943293742138,
      0.1992019605820811,
      0.19684399704143823,
      0.1945152565898083,
      0.19221542824637822,
      0.18994418507179675,
      0.18770119064782004,
      0.1854861036305466,
      0.1832985806494808,
      0.18113827847884453,
      0.1790048555925058,
      0.17689797275151764,
      0.17481729398891335,
      0.17276248681207707,
      0.1707332225141335,
      0.16872917648161925,
      0.16675001245058374,
      0.1647953637271688,
      0.16286487686052895,
      0.16095821662252977,
      0.1590750614300787,
      0.15721510057770507,
      0.15537803188251387,
      0.15356356042648048,
      0.15177139753283792,
      0.15000132640548308,
      0.14825317534833227,
      0.14652674182842365,
      0.14482180218318702,
      0.14313811926976502,
      0.14147544767988968,
      0.139833537501795,
      0.1382121367510416,
      0.1366109930082882,
      0.13502985457554156,
      0.13346847145439553,
      0.1319265956983761,
      0.1304039816818649,
      0.12890038652814306,
      0.12741557015135513,
      0.12594929546613917,
      0.12450132817409353,
      0.12307143685152869,
      0.12165939306555812,
      0.12026497142977571,
      0.11888794938360256,
      0.11752810726717858,
      0.11618522828483388,
      0.11485909836973714,
      0.11354950631862092,
      0.1122562436622881,
      0.11097910463445787,
      0.10971788615589478,
      0.10847238775781246,
      0.10724241148844527,
      0.10602776194907534,
      0.10482824634527242,
      0.1036436744003302,
      0.1024738582013589,
      0.10131861243513131,
      0.10017775398399728,
      0.0990511021400429,
      0.09793847850312576,
      0.09683970707177719,
      0.09575461404936703,
      0.09468302770283415,
      0.09362477875667015,
      0.0925797000064299,
      0.09154762634718026,
      0.09052839480266948,
      0.08952184444127413,
      0.08852781646455048,
      0.0875461541062475,
      0.08657670254508938,
      0.08561930890696187,
      0.08467379313025368,
      0.08373993679850843,
      0.08281753937179703,
      0.08190642058907774,
      0.08100641464390117,
      0.08011736630515241,
      0.07923912832527634,
      0.0783715593082127,
      0.07751452261451428,
      0.07666788526198186,
      0.07583151734944356,
      0.07500529148849765,
      0.07418908260754319,
      0.0733827596041514,
      0.0725861506761714,
      0.07179908179354973,
      0.07102139853179261,
      0.07025296059907267,
      0.06949363802298433,
      0.0687433084040324,
      0.0680018551401418,
      0.06726916607091478,
      0.0665451324154681,
      0.06582964820057186,
      0.06512260959422114,
      0.06442391492837506,
      0.06373346411245986,
      0.0630511587687608,
      0.06237690186511759,
      0.061710597712407875,
      0.06105215186829141,
      0.06040147114750929,
      0.05975846355404193,
      0.05912303818937858,
      0.05849510520288195,
      0.05787457445894438,
      0.05726132711096267,
      0.05665523219263553,
      0.056056174070848216,
      0.055464048098440015,
      0.05487875771141539,
      0.0543002123973045,
      0.05372832608450826,
      0.05316301619133082,
      0.052604202850751756,
      0.05205180833008691,
      0.051505756579579724,
      0.05096597313456624,
      0.05043238482615568,
      0.049904919687960334,
      0.04938350673042471,
      0.04886807599582576,
      0.0483585584389808,
      0.04785488792923798,
      0.04735700106399596,
      0.04686483420581621,
      0.04637832358193471,
      0.045897405490914124,
      0.04542201654789032,
      0.04495209379387779,
      0.04448757481013035,
      0.04402839770419598,
      0.0435745011581177,
      0.04312582451418428,
      0.04268230784057055,
      0.042243891783790746,
      0.04181051768719432,
      0.041382127432356704,
      0.04095866361006303,
      0.04054006951589868,
      0.040126289142136305,
      0.03971726705169129,
      0.0393129484129559,
      0.038913279081912666,
      0.038518205501919256,
      0.038127674749381,
      0.03774163453687142,
      0.03736003322237595,
      0.0369828195979866,
      0.036609943192630966,
      0.036241354116148865,
      0.035877002975842495,
      0.03551684087768353,
      0.03516081963917642,
      0.034808891636081994,
      0.034461009737232345,
      0.034117127387550274,
      0.03377719859466667,
      0.03344117789228451,
      0.033109020235691795,
      0.032780681156441435,
      0.03245611673157899,
      0.032135283532788037,
      0.03181813863476984,
      0.031504639552253015,
      0.031194744286967523,
      0.030888411510120003,
      0.030585600108022915,
      0.03028626957168982,
      0.029990379949505087,
      0.02969789157968041,
      0.029408765354916946,
      0.029122962639306728,
      0.028840445139425703,
      0.028561175069366992,
      0.028285115050580345,
      0.028012228226427252,
      0.02774247800007793,
      0.027475828314386982,
      0.027212243615714827,
      0.026951688635161692,
      0.026694128441316158,
      0.02643952865029806,
      0.026187855220946524,
      0.025939074410698343,
      0.025693153025118515,
      0.02545005816379229,
      0.025209757311089355,
      0.02497221835808239,
      0.024737409454605126,
      0.02450529925664772,
      0.02427585681951533,
      0.024049051438305324,
      0.02382485269952906,
      0.023603230632237696,
      0.0233841556796259,
      0.023167598513250634,
      0.022953527063639574,
      0.02274189324195661,
      0.022532647506966742,
      0.02232574720504603,
      0.022121154799771617,
      0.02191883651014597,
      0.02171876124307397,
      0.021520899899306712,
      0.021325224985922295,
      0.021131710266754884,
      0.020940330316260608,
      0.02075106045159678,
      0.020563876674062443,
      0.020378755422459732,
      0.020195673512469953,
      0.020014608160347697,
      0.019835536938078456,
      0.019658437717289725,
      0.01948328865880379,
      0.019310068203411232,
      0.019138755050847302,
      0.01896932814002868,
      0.018801766668214513,
      0.018636050098437516,
      0.018472158091724866,
      0.018310070573763496,
      0.01814976759872023,
      0.017991229582922628,
      0.017834437107039577,
      0.017679370871825063,
      0.01752601187055286,
      0.017374341352563837,
      0.01722434072434589,
      0.017075991546495885,
      0.01692927570334479,
      0.016784175077194007,
      0.01664067194171883,
      0.01649874873344961,
      0.016358388001915743,
      0.01621957258302137,
      0.016082285474296822,
      0.01594650981922143,
      0.01581222896196191
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785964467216887,
      10.568993272072616,
      10.343012288362223,
      10.11077007303387,
      9.874709219455964,
      9.63693834226044,
      9.39932202027048,
      9.163456140766948,
      8.930706264638578,
      8.702193415473628,
      8.47878249616242,
      8.261083398297298,
      8.049461782442362,
      7.844059326595556,
      7.644822417920674,
      7.4515361023981646,
      7.263859828421402,
      7.081362300777289,
      6.9035540332743235,
      6.729916287296253,
      6.559925947687466,
      6.393075000542146,
      6.2288856926183565,
      6.0669218316076154,
      5.906800905186447,
      5.748207257922666,
      5.590898427768709,
      5.434699095902281,
      5.2795035852692065,
      5.125283188492956,
      4.972076399054895,
      4.8199845380433946,
      4.669166050739845,
      4.5198403748014435,
      4.372285596211914,
      4.226827869482204,
      4.083829502662883,
      3.94367677068724,
      3.8067742624427003,
      3.673535998381046,
      3.544355666157341,
      3.419591153135855,
      3.299556478728955,
      3.184515781534949,
      3.074679473389367,
      2.9702029601773856,
      2.871192434835564,
      2.777697624465883,
      2.6897124296071473,
      2.6071884128772864,
      2.5300232125425897,
      2.4580588857266643,
      2.3910751993431325,
      2.3288072099476973,
      2.270962053815968,
      2.2172239390703368,
      2.1672405458138613,
      2.120620665046756,
      2.0769595544927695,
      2.0358951488778807,
      1.99707221147308,
      1.9601563263874515,
      1.9248803668500447,
      1.8910362574832005,
      1.858459411089504,
      1.827016654766517,
      1.79659674427524,
      1.767104133302202,
      1.7384617816381154,
      1.710606621599748,
      1.6834834151224751,
      1.6570452433515226,
      1.6312530690760247,
      1.606074591333304,
      1.5814819132178546,
      1.5574498475927092,
      1.5339553995945547,
      1.510977378830543,
      1.4884961090440365,
      1.4664932069864907,
      1.444951412862226,
      1.4238544575515175,
      1.403186957684836,
      1.3829343304929222,
      1.3630829986326283,
      1.3436206969558548,
      1.3245356294515749,
      1.305816323954587,
      1.2874516704530927,
      1.2694309404598916,
      1.2517436748637103,
      1.2343795349005888,
      1.2173288734353769,
      1.2005829535446393,
      1.184133360731878,
      1.1679719134396596,
      1.1520906827369801,
      1.136482001511302,
      1.121138883718732,
      1.106055433348709,
      1.0912259350534874,
      1.0766445281343955,
      1.0623053181275426,
      1.048202451002161,
      1.0343301628562378,
      1.0206828124088965,
      1.007254900971521,
      0.9940411877609949,
      0.981037042473796,
      0.9682380033508272,
      0.9556395999050903,
      0.943237401593832,
      0.9310270499963078,
      0.9190042793643691,
      0.9071649284015785,
      0.8955049468718238,
      0.8840203987935972,
      0.872707463154616,
      0.8615624330206485,
      0.8505817131963205,
      0.8397624827088374,
      0.8291024640921001,
      0.8185991247421854,
      0.8082497651017971,
      0.7980515984995985,
      0.7880018054177438,
      0.7780975700311155,
      0.7683361039228647,
      0.7587146617976344,
      0.7492301482918423,
      0.7398791182385425,
      0.7306583449891666,
      0.721564867504913,
      0.7125960149040028,
      0.7037502200749024,
      0.6950264001466738,
      0.6864231282733225,
      0.6779387596605049,
      0.6695715160155844,
      0.6613195434546988,
      0.6531809517264242,
      0.645153840984507,
      0.6372363195083776,
      0.6294265156190727,
      0.6217225857996221,
      0.6141227191603127,
      0.6066251401850353,
      0.5992281108752329,
      0.5919299309626059,
      0.5847289382654363,
      0.5776235079807815,
      0.5706120524233957,
      0.5636930201274696,
      0.5568648950328995,
      0.550126195685852,
      0.5434754739286588,
      0.5369113143293642,
      0.5304323330870437,
      0.5240371769777785,
      0.5177245225998292,
      0.5114930754660794,
      0.5053415690501369,
      0.4992687640183585,
      0.4932734475770726,
      0.4873544324806665,
      0.4815105562121027,
      0.4757406805181438,
      0.47004369061570644,
      0.4644184943269827,
      0.4588640218071381,
      0.4533792247490849,
      0.4479630757293456,
      0.4426145675440385,
      0.4373327126651262,
      0.4321165428949402,
      0.4269651087385747,
      0.4218774788270937,
      0.41685273967274666,
      0.4118899948935568,
      0.40698836487545714,
      0.40214698641564994,
      0.3973650123234007,
      0.39264161072651194,
      0.38797596492213104,
      0.38336727298644074,
      0.37881474734735493,
      0.3743176144489194,
      0.3698751143304116,
      0.36548649948529444,
      0.3611508387996285,
      0.35686710577897623,
      0.35263438736738023,
      0.3484518523167102,
      0.3443187298727567,
      0.34023429466579314,
      0.3361978558309329,
      0.332208749572199,
      0.3282663341641541,
      0.3243699860137159,
      0.32051909688435665,
      0.31671307215915373,
      0.31295132937428555,
      0.3092332971590568,
      0.30555841440200654,
      0.30192612974249794,
      0.29833590106900976,
      0.29478719522767977,
      0.29127948757120536,
      0.2878122616532323,
      0.28438500913183395,
      0.28099728833594456,
      0.27764890991971425,
      0.2743396828659473,
      0.27106933855657567,
      0.26783766067820053,
      0.26464442218351497,
      0.2614893174025684,
      0.2583720072043294,
      0.25529219479046905,
      0.2522495566598452,
      0.24924372540938314,
      0.24627430518754848,
      0.24334088212500077,
      0.24044303194644437,
      0.23758032511040797,
      0.23475233018406602,
      0.23195861650932464,
      0.22919875569998882,
      0.22647228275187212,
      0.22377869778960072,
      0.22111752701856976,
      0.21848832132564086,
      0.2158906506190423,
      0.21332409966639843,
      0.2107882651234619,
      0.20828284813972273,
      0.20580778721484005,
      0.20336297204859,
      0.20094821807095886,
      0.19856329517300852,
      0.1962079293062636,
      0.19388181593235523,
      0.19158463100472797,
      0.1893160384711904,
      0.18707569576400018,
      0.18486325711983193,
      0.1826783761937705,
      0.18052070767143188,
      0.17838990834407675,
      0.17628563812153555,
      0.17420756026207043,
      0.17215534186358483,
      0.1701286539435822,
      0.16812717165595878,
      0.1661505641295469,
      0.1641984667156517,
      0.16227052356762398,
      0.16036639762911506,
      0.15848576618203453,
      0.1566283176094931,
      0.15479374927854125,
      0.15298176713813932,
      0.15119215395700475,
      0.14942473348467908,
      0.14767929769519372,
      0.14595561794444478,
      0.1442534525392398,
      0.142572551956583,
      0.14091266236296823,
      0.1392735279246468,
      0.13765489266813644,
      0.13605650144057554,
      0.13447810064143606,
      0.13291943897016317,
      0.131380267588797,
      0.12986034039947447,
      0.12835941416495103,
      0.1268772485550887,
      0.12541360621516645,
      0.12396825285613369,
      0.12254095710675421,
      0.12113149062313033,
      0.11973962796614958,
      0.11836514664760137,
      0.11700782705839663,
      0.11566745248936187,
      0.1143438089831056,
      0.11303668539257235,
      0.11174587318756071,
      0.11047116668419692,
      0.10921236288258603,
      0.10796926139013022,
      0.10674166437934558,
      0.10552937656020307,
      0.10433220534589083,
      0.10314996044905231,
      0.10198245405196046,
      0.10082950080701286,
      0.09969091771857332,
      0.09856652418554798,
      0.09745614200797253,
      0.09635959511558222,
      0.09527670979997285,
      0.09420731451609808,
      0.0931512399777478,
      0.09210831908276633,
      0.091078386801523,
      0.09006128026351251,
      0.08905683870532875,
      0.08806490336255053,
      0.0870853175024024,
      0.0861179263934524,
      0.08516257726383926,
      0.0842190954777395,
      0.08328726352302084,
      0.0823668792069903,
      0.08145776111352132,
      0.08055974275829987,
      0.07967266839211691,
      0.07879639035258867,
      0.0779307671181989,
      0.07707566194560972,
      0.07623094177619445,
      0.07539647668151983,
      0.07457213933960513,
      0.07375780462905794,
      0.07295334858636468,
      0.07215860982743819,
      0.07137340909178244,
      0.07059758836872129,
      0.06983100491895869,
      0.0690735270218991,
      0.0683250311844077,
      0.0675853999539068,
      0.06685452050492105,
      0.06613228368265628,
      0.06541858328305725,
      0.06471331552245656,
      0.06401637855127541,
      0.06332767225812141,
      0.06264709823949761,
      0.06197455948025002,
      0.06130996034144674,
      0.060653206457866066,
      0.060004204662535816,
      0.05936286304635493,
      0.058729090732890524,
      0.05810279808338913,
      0.05748389639742481,
      0.05687228858628099,
      0.05626784544096076,
      0.05567044399604852,
      0.05507997449970421,
      0.054496336708672086,
      0.05391943747962172,
      0.05334918898278202,
      0.052785507378345434,
      0.052228311867717044,
      0.051677524144360484,
      0.051133067857793764,
      0.050594868275683484,
      0.050062852069944846,
      0.0495369471144871,
      0.049017082484951915,
      0.048503188125718716,
      0.04799519505789047,
      0.04749303698718167,
      0.04699665043465946,
      0.04650597188487292,
      0.04602093761871998,
      0.04554148411122248,
      0.045067548184866135,
      0.044599066999234535,
      0.04413597807330867,
      0.04367821956709401,
      0.043225730323703686,
      0.0427784497170357,
      0.04233631791501081,
      0.04189927554751451,
      0.04146726407966856,
      0.041040225532417735,
      0.04061810261620942,
      0.04020083860587399,
      0.03978837755533282,
      0.039380664095180096,
      0.03897764352531165,
      0.03857926176994202,
      0.03818546535118476,
      0.037796201339266845,
      0.037411417533997605,
      0.0370310623309891,
      0.03665508464731318,
      0.03628343406248524,
      0.03591606079961426,
      0.03555291550238794,
      0.03519394944946542,
      0.034839114363876926,
      0.034488362816382435,
      0.03414164774726716,
      0.033798922635575004,
      0.03346014148579559,
      0.03312525888684072,
      0.032794229926530194,
      0.03246701024200208,
      0.03214355589709086,
      0.03182382358268591,
      0.03150777033920221,
      0.031195353846716647,
      0.030886532275203226,
      0.03058126429277008,
      0.03027950883708241,
      0.029981225473339226,
      0.02968637426776396,
      0.02939491559323342,
      0.0291068104544483,
      0.02882202028768974,
      0.0285405068226335,
      0.02826223237782759,
      0.027987159570044468,
      0.027715251543336854,
      0.027446471897938605,
      0.02718078469078697,
      0.026918154266230218,
      0.026658545405960368,
      0.026401923394612274,
      0.026148253756551294,
      0.02589750255034535,
      0.025649636178580282,
      0.025404621459738753,
      0.02516242555568185,
      0.0249230159446197,
      0.02468636053556037,
      0.024452427733524438,
      0.024221186216941755,
      0.02399260500285122,
      0.02376665350352337,
      0.02354330134618443,
      0.023322518594430262,
      0.023104275729356662,
      0.022888543454546037,
      0.02267529289609921,
      0.022464495521261948,
      0.0222561201211481,
      0.022050119997155674,
      0.021846446773022048,
      0.02164505884131379,
      0.021445919571671867,
      0.021248995952437028,
      0.021054257742586825,
      0.020861676647270375,
      0.020671225879465172,
      0.02048287968745066,
      0.020296613413144052,
      0.020112402964395926,
      0.019930224841472517,
      0.019750056076815792,
      0.019571874157569277,
      0.019395656822960922,
      0.01922138220607965,
      0.019049028741592453,
      0.018878575176795434,
      0.018710000392787467,
      0.018543283620646493,
      0.018378404442618613,
      0.018215342540390225,
      0.018054077768192192,
      0.0178945903598514,
      0.01773686075595954,
      0.01758086952080013,
      0.01742659745057422,
      0.01727402559357004,
      0.017123135213953564,
      0.016973907807366427,
      0.016826325009199342,
      0.016680368764378155,
      0.016536021097469926,
      0.01639326430307399,
      0.016252080812715803,
      0.016112453240351716,
      0.015974364441511416,
      0.015837797439595774,
      0.01570273556928073,
      0.015569162194840159
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.7859590520761,
      10.568968367462777,
      10.342957113048573,
      10.110677954201094,
      9.874576584208398,
      9.636763290162552,
      9.39910415809109,
      9.163196126455944,
      8.930405368117308,
      8.701853395301955,
      8.478405321391174,
      8.26067094766426,
      8.049015722300297,
      7.8435810344600005,
      7.644312853672671,
      7.450995835427317,
      7.263289141047547,
      7.080761233405568,
      6.902922443448232,
      6.729253918954566,
      6.559232509472426,
      6.392350318189057,
      6.228129601714735,
      6.066134106246163,
      5.905981611929758,
      5.747356902099737,
      5.59001804716164,
      5.433790248190006,
      5.278568322738768,
      5.124324126314911,
      4.9710968527379835,
      4.818988248494196,
      4.66815709907038,
      4.518823247681958,
      4.3712651207728355,
      4.225809129091127,
      4.082817738367027,
      3.9426773058592763,
      3.805792727306146,
      3.6725780780970085,
      3.543426596486891,
      3.4186956336624794,
      3.298698603345465,
      3.1836989888541742,
      3.073906520266035,
      2.969475909463896,
      2.8705126778439243,
      2.77706563583985,
      2.689127957080449,
      2.6066505442311043,
      2.529529969958834,
      2.4576072408982528,
      2.3906609835515757,
      2.328425988704387,
      2.270609128157404,
      2.2168944963883126,
      2.1669294867941034,
      2.120322643588657,
      2.076669728553512,
      2.0356092202887943,
      1.9967861473166804,
      1.9598668750801331,
      1.9245851292170821,
      1.8907334884617473,
      1.8581478463887726,
      1.826695409297876,
      1.7962651350455314,
      1.7667616931769308,
      1.7381082457909283,
      1.7102418939757582,
      1.6831075397492237,
      1.6566583229199183,
      1.6308551587886,
      1.6056656433585121,
      1.581061963428652,
      1.557018989802723,
      1.5335137665765495,
      1.5105251296270057,
      1.4880334194249363,
      1.4660202625994727,
      1.4444684041589053,
      1.4233615770974444,
      1.4026843977128607,
      1.3824222812035534,
      1.3625616703811758,
      1.343090300314638,
      1.3239963634416465,
      1.3052683785343806,
      1.2868952267284763,
      1.2688661721192218,
      1.2511708083638742,
      1.2337988358201781,
      1.2167406212803364,
      1.1999874073333794,
      1.18353074069543,
      1.1673624116662724,
      1.1514744701610526,
      1.135859233283201,
      1.120509744061165,
      1.105420112380203,
      1.0905845998090111,
      1.075997328835233,
      1.0616523920583036,
      1.0475439256769863,
      1.0336661583737605,
      1.0200134432519388,
      1.0065802767439698,
      0.9933615882699061,
      0.9803528089148258,
      0.9675493972014023,
      0.9549468270760728,
      0.942540629356669,
      0.930326418245774,
      0.9182999085254626,
      0.906456925112733,
      0.8947934078111545,
      0.8833054136727313,
      0.8719891164263277,
      0.8608408051698507,
      0.8498569513478169,
      0.8390348843950362,
      0.8283722749046584,
      0.8178665319046704,
      0.8075149156072245,
      0.797314611501071,
      0.7872627807834798,
      0.7773565937448621,
      0.767593252682286,
      0.7579700053465436,
      0.7484837552408218,
      0.7391310533047873,
      0.7299086686382055,
      0.7208136370752839,
      0.71184343629637,
      0.7029967149598649,
      0.6942722691068474,
      0.6856685894020577,
      0.6771839737867352,
      0.668816604255339,
      0.6605645993001004,
      0.652426049537335,
      0.644399041695259,
      0.6364816748380222,
      0.6286720708225761,
      0.620968381553228,
      0.6133687927137623,
      0.6058715265477417,
      0.598474843149064,
      0.5911770409672703,
      0.5839764567466137,
      0.5768714650880955,
      0.5698604776716195,
      0.5629419423750831,
      0.5561143426556491,
      0.5493761966414266,
      0.5427260557629677,
      0.5361625042015019,
      0.5296841579148159,
      0.5232896631948962,
      0.5169776962623974,
      0.5107469623783152,
      0.5045961947309107,
      0.4985241535353835,
      0.49252962537404826,
      0.48661142273179353,
      0.4807683828147914,
      0.4749993669784157,
      0.4693032601566353,
      0.46367896996635066,
      0.4581254261247633,
      0.45264157980089154,
      0.44722640313351314,
      0.4418788885361979,
      0.43659804830075527,
      0.43138291376373883,
      0.4262325351061964,
      0.4211459806953136,
      0.416122336656985,
      0.4111607061719975,
      0.4062602092343667,
      0.40141998234094206,
      0.3966391778081267,
      0.3919169635564128,
      0.38725252257564063,
      0.3826450525556908,
      0.37809376553124807,
      0.37359788754161943,
      0.36915665833249633,
      0.3647693047287959,
      0.3604348587432587,
      0.356152313527881,
      0.35192076939865413,
      0.34773940457261737,
      0.34360745462350967,
      0.33952419841013093,
      0.3354889479860702,
      0.33150104155346344,
      0.3275598386094821,
      0.3236647163286449,
      0.31981506682570954,
      0.3160102956849267,
      0.3122498203652822,
      0.30853306940525116,
      0.3048594816374722,
      0.301228505487211,
      0.2976395986337926,
      0.2940922276142669,
      0.2905858675096505,
      0.2871200015474265,
      0.2836941210655464,
      0.2803078137474959,
      0.2769609150701496,
      0.27365321637017254,
      0.27038445912023695,
      0.26715445095339385,
      0.2639629410731811,
      0.26080960721130886,
      0.25769411697459643,
      0.2546161731997018,
      0.2515754383114037,
      0.24857153499414197,
      0.2456040604350325,
      0.24267259596362883,
      0.23977671374111603,
      0.23691598163069738,
      0.2340899664849898,
      0.23129823619343967,
      0.2285403607024183,
      0.22581586180744542,
      0.22312423819474722,
      0.22046502014785596,
      0.21783776129612967,
      0.21524203335789668,
      0.21267742223893735,
      0.21014354746921016,
      0.20764026492512125,
      0.20516750921611338,
      0.20272511830659784,
      0.20031287902102196,
      0.19793053127132143,
      0.19557777845117008,
      0.19325430031280166,
      0.19095976190323696,
      0.1886938197647921,
      0.18645612598357295,
      0.18424633125938625,
      0.1820640867161287,
      0.17990904532530244,
      0.17778086275735586,
      0.17567919799511833,
      0.17360371373729083,
      0.17155407663207187,
      0.1695299574564794,
      0.16753103114698928,
      0.16555697018383667,
      0.16360741532932457,
      0.16168200784767997,
      0.15978040876498037,
      0.15790229397540706,
      0.15604735093452887,
      0.15421527979285923,
      0.15240586025619102,
      0.15061890974335898,
      0.14885421473853713,
      0.14711154161805742,
      0.14539064417128997,
      0.1436912685889953,
      0.14201315699423103,
      0.14035604983490096,
      0.13871968740793733,
      0.1371038109476266,
      0.13550816347904848,
      0.1339324903133667,
      0.13237653924379106,
      0.13084006088211653,
      0.1293228088765921,
      0.1278245397065561,
      0.1263450129182167,
      0.12488399112206675,
      0.12344123989178726,
      0.12201652787622325,
      0.12060962676222955,
      0.11922031122198298,
      0.11784835872364718,
      0.11649354975186693,
      0.11515566769481357,
      0.11383449863890642,
      0.11252983145888792,
      0.11124145785360283,
      0.10996917227638969,
      0.10871277170338006,
      0.10747205579834311,
      0.10624682675544832,
      0.10503688943716413,
      0.10384205121580173,
      0.10266212202749139,
      0.10149691408466605,
      0.10034624222027051,
      0.09920992350896604,
      0.09808777741825682,
      0.09697962576392034,
      0.09588529267392322,
      0.09480460447757576,
      0.09373738971696971,
      0.09268347914074812,
      0.0916427056802465,
      0.09061490440144906,
      0.08959991255365592,
      0.08859756945408027,
      0.08760771648176398,
      0.08663019700879065,
      0.08566485635768532,
      0.08471154183560758,
      0.08377008472499241,
      0.08284026844511572,
      0.08192188898269868,
      0.08101476368640534,
      0.08011872513406561,
      0.07923361701160501,
      0.07835929134796334,
      0.07749560644395313,
      0.07664242532085948,
      0.0757996148742297,
      0.07496704516626913,
      0.07414458885429719,
      0.07333212093106879,
      0.07252951842924053,
      0.07173663379048037,
      0.0709532887148744,
      0.07017932060827416,
      0.0694145833630168,
      0.0686589430666976,
      0.06791227463642864,
      0.06717445958392215,
      0.06644538440407109,
      0.06572493952052672,
      0.06501301830953865,
      0.064309516736383,
      0.06361433289022045,
      0.06292736667993594,
      0.06224851963848041,
      0.06157769481915776,
      0.06091479655788311,
      0.060259730491489874,
      0.059612403491694464,
      0.05897272372488471,
      0.05834060041429153,
      0.05771594393731762,
      0.05709866573926945,
      0.05648867842940334,
      0.05588587124737052,
      0.055290114661323636,
      0.05470129252013937,
      0.05411930019593424,
      0.05354404140449663,
      0.05297542604725957,
      0.052413368703831606,
      0.05185778759770479,
      0.0513086036520191,
      0.050765740013992415,
      0.05022912163552074,
      0.049698674981747216,
      0.04917432782171347,
      0.048656009090635804,
      0.0481436487537408,
      0.04763717777575872,
      0.047136529632971734,
      0.04664164081854454,
      0.04615244801259373,
      0.04566888771235094,
      0.04519089648113758,
      0.0447184110991081,
      0.04425136873682668,
      0.04378970717832739,
      0.04333336464540933,
      0.04288228000869597,
      0.042436392826232246,
      0.04199564320337867,
      0.04155997193141965,
      0.04112932050811041,
      0.04070363104947826,
      0.0402828463155029,
      0.039866909728459375,
      0.03945576540042539,
      0.03904935799800747,
      0.03864763290176165,
      0.03825053605963741,
      0.03785801411666664,
      0.037470014225559296,
      0.03708648426687907,
      0.036707372661213364,
      0.03633262840639016,
      0.03596220112649505,
      0.0355960411294816,
      0.03523409920042907,
      0.034876326654102965,
      0.03452267541835811,
      0.03417309791310896,
      0.03382754715387024,
      0.03348597673980045,
      0.03314834080599036,
      0.03281459402233504,
      0.032484691425730475,
      0.03215858873442543,
      0.03183624208544492,
      0.031517608241768406,
      0.03120264442000958,
      0.03089130827902834,
      0.030583558002345065,
      0.030279352258674192,
      0.029978650129241387,
      0.029681411211666814,
      0.029387595598755235,
      0.029097163792243603,
      0.028810076837701922,
      0.028526296318467422,
      0.028245784106601685,
      0.027968502379001624,
      0.027694413975381478,
      0.027423482080727427,
      0.027155670342136083,
      0.026890942770973765,
      0.026629263872405984,
      0.026370598439508883,
      0.02611491180043673,
      0.025862169606142273,
      0.025612338001311144,
      0.025365383437723772,
      0.02512127276865944,
      0.024879973176280403,
      0.024641452291244828,
      0.024405678056341206,
      0.024172618839482102,
      0.023942243357464383,
      0.023714520664769263,
      0.023489420280311212,
      0.023266911982326735,
      0.023046965871175114,
      0.022829552430225174,
      0.022614642438915304,
      0.02240220708397891,
      0.02219221789752205,
      0.02198464666447786,
      0.021779465566511152,
      0.021576645152878025,
      0.0213761413189461,
      0.02117790618177383,
      0.020981898723831445,
      0.020788082880933034,
      0.02059642622422331,
      0.020406899074616482,
      0.02021947374738446,
      0.02003412396645096,
      0.019850824634382473,
      0.019669551619472814,
      0.019490281451266966,
      0.01931299113945204,
      0.019137658312852853,
      0.018964260940829387,
      0.01879277732958531,
      0.01862318622161375,
      0.018455466642391276,
      0.018289597722741913,
      0.018125558909592897,
      0.017963329968068122,
      0.017802890857535832,
      0.017644221831372525,
      0.017487303359245268,
      0.017332116050685405,
      0.0171786408334407,
      0.017026858942380547,
      0.016876751559495338,
      0.01672830016636596,
      0.0165814865351734,
      0.016436292536295173,
      0.016292700359891166,
      0.01615069229324113,
      0.01601025089953501,
      0.015871358898420868,
      0.015733999193690496,
      0.015598154876260905,
      0.015463809145049525,
      0.015330945470085405
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785953648430267,
      10.568943519396036,
      10.342902068116269,
      10.110586066278875,
      9.874444301113432,
      9.636588728068396,
      9.39888693662254,
      9.162936913308233,
      8.930105440726592,
      8.701514519084451,
      8.478029467151801,
      8.260259994225393,
      8.048571337737677,
      7.843104596414789,
      7.643805300628259,
      7.450457739498725,
      7.262720788533772,
      7.080162667845969,
      6.902293525382858,
      6.728594397046517,
      6.558542096068665,
      6.391628843940476,
      6.227376907079529,
      6.065349969133945,
      5.90516610121851,
      5.746510574153812,
      5.589141935470037,
      5.432885906338745,
      5.277637797945349,
      5.123369941682168,
      4.9701222427272445,
      4.8179969609397615,
      4.667153219939861,
      4.517811263365955,
      4.370249854001066,
      4.224795656156631,
      4.081811289766432,
      3.9416831917601125,
      3.804816561770351,
      3.671625526957911,
      3.5425028755255017,
      3.4178054217556353,
      3.2978459734180237,
      3.1828873601842473,
      3.0731386312342828,
      2.9687538069863164,
      2.8698377393170342,
      2.776438322872448,
      2.6885480071986123,
      2.6061170372770532,
      2.5290409246189944,
      2.4571596293869087,
      2.3902506167989213,
      2.328048429836477,
      2.270259702086454,
      2.2165684053015133,
      2.166621647679574,
      2.120027728117068,
      2.0763829127832327,
      2.035326223889823,
      1.9965029555240383,
      1.959580251729123,
      1.9242926880898512,
      1.8904334950212707,
      1.8578390448616902,
      1.82637692122959,
      1.7959362828593073,
      1.7664220139714082,
      1.737757477318986,
      1.7098799430815252,
      1.6827344526030232,
      1.656274203236665,
      1.630460106837118,
      1.6052596339253455,
      1.5806450138884787,
      1.5565911802933479,
      1.5330752203096825,
      1.5100759984197276,
      1.4875738736986746,
      1.4655504844769425,
      1.4439885825402459,
      1.422871903288692,
      1.4021850627219368,
      1.3819134752075177,
      1.3620436039442423,
      1.3425631837361138,
      1.3234603956972342,
      1.3047237490503687,
      1.2863421171658325,
      1.2683047566877865,
      1.2506012988965858,
      1.2332215026520628,
      1.216155747755363,
      1.1993952545285613,
      1.182931529833988,
      1.1667563355248738,
      1.15086170026103,
      1.1352399253612522,
      1.1198840831792607,
      1.1047882887820009,
      1.0899467805501482,
      1.0753536641023405,
      1.0610030193497326,
      1.046888972967642,
      1.0330057459607593,
      1.0193476854516188,
      1.0059093273351125,
      0.9926857808466676,
      0.9796724526700739,
      0.9668647314686324,
      0.9542580424291294,
      0.9418478820626108,
      0.9296298405876139,
      0.9175996159276868,
      0.9057530206932818,
      0.8940859859944593,
      0.8825945623106923,
      0.8712749188566897,
      0.8601233411966724,
      0.8491363944980048,
      0.8383115446077283,
      0.8276463836955656,
      0.8171382674443478,
      0.806784418849978,
      0.7965819972866803,
      0.786528145718014,
      0.7766200220485953,
      0.766854819204464,
      0.7572297787046769,
      0.7477418042214385,
      0.7383874435930593,
      0.7291634613666634,
      0.7200668904829748,
      0.7110954099980462,
      0.7022478124782631,
      0.6935227789549049,
      0.6849187212921575,
      0.6764338826343524,
      0.6680664068725692,
      0.6598143861905752,
      0.6516758929702092,
      0.6436490014295171,
      0.635731801640543,
      0.6279224091893776,
      0.6202189714889563,
      0.6126196710583922,
      0.6051227279815183,
      0.5977264007767302,
      0.590428986662506,
      0.5832288212313669,
      0.5761242783327931,
      0.5691137691591258,
      0.5621957411030495,
      0.555368677131249,
      0.5486310947666527,
      0.5419815451704324,
      0.535418612049153,
      0.528940910775428,
      0.5225470875740217,
      0.5162358184496054,
      0.5100058079360626,
      0.5038557887394762,
      0.49778452080520996,
      0.4917907906526778,
      0.4858734103202313,
      0.48003121655970515,
      0.4742630704104283,
      0.4685678564452228,
      0.46294448179244174,
      0.457391875903708,
      0.4519089895950212,
      0.4464947946353815,
      0.4411482830720522,
      0.43586846675244006,
      0.4306543767648496,
      0.42550506292845036,
      0.42041959320614525,
      0.415397053271865,
      0.41043654608143987,
      0.4055371912197726,
      0.400698124839899,
      0.39591849887324393,
      0.39119748091126266,
      0.38653425356444615,
      0.38192801406314547,
      0.37737797412646684,
      0.37288335949083884,
      0.3684434095822804,
      0.364057325936905,
      0.3597241039471138,
      0.35544275615690046,
      0.3512123961780893,
      0.3470322112861948,
      0.34290144343276613,
      0.3388193757032211,
      0.334785322977334,
      0.3307986255652004,
      0.32685864411746174,
      0.3229647565312254,
      0.31911635537879873,
      0.31531284638569596,
      0.3115536472157719,
      0.3078381861915711,
      0.3041659020276827,
      0.30053624298712317,
      0.29694866643827517,
      0.29340263855749216,
      0.2898976341902691,
      0.2864331363364867,
      0.28300863598482634,
      0.2796237646398948,
      0.2762783628710731,
      0.27297220617065443,
      0.269705066798291,
      0.26647675065081844,
      0.26328698586939125,
      0.26013543541851764,
      0.2570217784626025,
      0.25394571319532855,
      0.2509068891248651,
      0.24790491986491717,
      0.24493939601919368,
      0.24200989419704574,
      0.23911598336530213,
      0.2362572289800345,
      0.2334331961490302,
      0.23064345155682203,
      0.22788755770139263,
      0.2251650260698899,
      0.2224753599715911,
      0.2198180926286776,
      0.2171927797884608,
      0.21459899465180934,
      0.2120363241794113,
      0.20950450375038665,
      0.2070034722094783,
      0.20453310034368785,
      0.20209319336453493,
      0.1996835090467863,
      0.1973037614023038,
      0.19495363585738695,
      0.1926327998082091,
      0.19034090981700907,
      0.1880776164305685,
      0.18584256768325977,
      0.18363541134886502,
      0.1814557966245374,
      0.179303375087865,
      0.17717780146566012,
      0.17507873407750704,
      0.17300583509595324,
      0.17095877086620237,
      0.1689372118672569,
      0.16694083286145286,
      0.1649693101047682,
      0.1630222899093307,
      0.16109941055532317,
      0.15920033098745798,
      0.15732472568880815,
      0.15547228607892546,
      0.15364278663375672,
      0.1518360377258723,
      0.15005181986101623,
      0.14828989417919688,
      0.14655000976111277,
      0.14483190839126128,
      0.143135328017481,
      0.1414600050598877,
      0.1398056760366759,
      0.13817207852567584,
      0.13655895199986384,
      0.13496603822184627,
      0.13339308167028466,
      0.1318398296811552,
      0.13030603252760836,
      0.12879144347710464,
      0.12729581897853556,
      0.12581891850290697,
      0.12436050459112746,
      0.12292034288570063,
      0.12149820212163875,
      0.12009385395593093,
      0.11870707313685185,
      0.11733763726364016,
      0.11598532683531323,
      0.11464992520119997,
      0.11333121855238619,
      0.11202899596725223,
      0.11074304919320907,
      0.10947317267268188,
      0.10821916353991624,
      0.10698082153149747,
      0.10575794900115125,
      0.10455035088604922,
      0.10335783465046637,
      0.1021802102250562,
      0.10101728998003796,
      0.09986888870063036,
      0.09873482358349871,
      0.09761491415873826,
      0.09650898229646719,
      0.0954168522788804,
      0.09433835050517815,
      0.09327330557319242,
      0.09222154841956905,
      0.0911829120162398,
      0.0901572316025809,
      0.08914434442901864,
      0.08814408989610484,
      0.08715630944663098,
      0.0861808464651531,
      0.08521754647710109,
      0.08426625683373441,
      0.08332681342472188,
      0.08239900297295423,
      0.08148261928110372,
      0.0805774781310594,
      0.07968341116367109,
      0.07880026147698266,
      0.07792788067450315,
      0.07706612671902069,
      0.07621486247202237,
      0.07537395472271964,
      0.07454327347038917,
      0.07372269134930812,
      0.07291208334343037,
      0.07211132656711584,
      0.07132028753518765,
      0.07053879084962847,
      0.06976666886419959,
      0.06900377199377743,
      0.06824996390053925,
      0.06750511785757755,
      0.06676911419602656,
      0.06604183860639354,
      0.06532318094076905,
      0.06461303428844596,
      0.06391129438549521,
      0.06321785917723947,
      0.0625326285739268,
      0.06185550394628113,
      0.06118638832040433,
      0.0605251861810643,
      0.05987180320406377,
      0.05922614641962558,
      0.05858812402456483,
      0.05795764523043647,
      0.057334620430593876,
      0.056718961174446955,
      0.05611058009207539,
      0.055509385701616835,
      0.054915257089494,
      0.054328069797910994,
      0.05374771338646866,
      0.0531740875989831,
      0.05260709958866089,
      0.05204666194211089,
      0.051492691347401684,
      0.05094510777781409,
      0.05040383374207679,
      0.049868793716057576,
      0.049339913893985926,
      0.048817121850798686,
      0.048300346343380623,
      0.04778951737701719,
      0.04728456595232129,
      0.04678542529131238,
      0.0462920320064178,
      0.04580432277792197,
      0.045322234124110884,
      0.044845702755259016,
      0.04437466554996678,
      0.043909059862772847,
      0.043448823432838686,
      0.042993894637647675,
      0.04254421239283598,
      0.04209971626731396,
      0.04166034650207935,
      0.041226044031866596,
      0.04079675036298756,
      0.04037240765692253,
      0.03995295884832534,
      0.03953834740972083,
      0.03912851742996058,
      0.03872341370152145,
      0.038322981654538,
      0.03792716735373548,
      0.03753591745975534,
      0.03714917929119491,
      0.03676690078132047,
      0.03638903032872618,
      0.03601551713023815,
      0.03564631082976129,
      0.035281361779680345,
      0.03492062083741617,
      0.03456403933252884,
      0.034211569175311124,
      0.03386316297121401,
      0.033518773838837244,
      0.033178355468337875,
      0.032841861972273075,
      0.03250924802116764,
      0.03218046892699408,
      0.03185548041442786,
      0.03153423875312605,
      0.031216700643859722,
      0.030902823300616826,
      0.030592564508949278,
      0.030285882540365506,
      0.029982736141926845,
      0.029683084530500788,
      0.029386887417839527,
      0.029094104954638655,
      0.02880469771775603,
      0.02851862675953343,
      0.02823585354759892,
      0.027956340049442606,
      0.02768004862485464,
      0.027406942098063315,
      0.027136983777608883,
      0.026870137405000768,
      0.02660636708583966,
      0.02634563731154935,
      0.026087912941136864,
      0.025833159372245833,
      0.025581342294232878,
      0.02533242787500745,
      0.025086382641310374,
      0.02484317350981693,
      0.02460276773710422,
      0.02436513296950471,
      0.024130237240357358,
      0.02389804901333979,
      0.02366853710673796,
      0.023441670653929852,
      0.0232174190906495,
      0.02299575228008446,
      0.022776640385192868,
      0.02256005391085094,
      0.0223459637856317,
      0.022134341234984218,
      0.02192515782750934,
      0.021718385369946146,
      0.02151399607661477,
      0.021311962524028633,
      0.02111225753078035,
      0.020914854229036155,
      0.020719712355916176,
      0.020526783893847815,
      0.020336027888009693,
      0.020147408573811577,
      0.019960893888153614,
      0.01977645455525322,
      0.019594063284960692,
      0.019413694290459013,
      0.019235322990169685,
      0.019058925644055407,
      0.018884479388041334,
      0.018711961921507664,
      0.018541351280161978,
      0.01837262590250518,
      0.01820576464698938,
      0.01804074670925794,
      0.017877551546834822,
      0.017716158925795665,
      0.01755654886051812,
      0.017398701605424723,
      0.01724259764736776,
      0.017088217737153983,
      0.016935542814227704,
      0.016784554020939216,
      0.016635232673146053,
      0.016487560358649664,
      0.016341518871264653,
      0.016197090228527243,
      0.016054256569329142,
      0.015913000262102447,
      0.01577330386730101,
      0.015635150189957408,
      0.015498522224963077,
      0.01536340302029665,
      0.015229775954098423,
      0.015097624612187856
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785948255872487,
      10.568918723295914,
      10.342847146097778,
      10.1104943991058,
      9.874312359424913,
      9.636414648048895,
      9.398670352269106,
      9.162678502687195,
      8.929806487361057,
      8.701176789842316,
      8.47765493453527,
      8.259850538109717,
      8.04812862701211,
      7.842630009517318,
      7.6432997771890365,
      7.449921852351997,
      7.262154823986634,
      7.079566669878497,
      6.901667356581393,
      6.727937808742627,
      6.557854804327929,
      6.390910684626742,
      6.226627724489102,
      6.064569545548027,
      5.90435451074587,
      5.745668377445306,
      5.58827016852162,
      5.431986124545043,
      5.276712047835436,
      5.1224207422185914,
      4.969152823179254,
      4.817011063640094,
      4.6661549230335915,
      4.51680504150944,
      4.369240514402422,
      4.223788256441427,
      4.080811039080064,
      3.94069537520343,
      3.8038467652508032,
      3.6706793865290175,
      3.5415855767198163,
      3.416921613657397,
      3.29699970088405,
      3.182082015283876,
      3.0723769274509163,
      2.9680377686295545,
      2.8691687244471735,
      2.775816777271592,
      2.687973655013606,
      2.6055889481082035,
      2.528557111023933,
      2.4567170617105525,
      2.389845107282077,
      2.3276755472644806,
      2.2699147818545797,
      2.216246661494124,
      2.166318011094074,
      2.1197368769113654,
      2.076100041270813,
      2.0350470686967475,
      1.996223520597439,
      1.9592973175940105,
      1.92400388176446,
      1.8901370924840848,
      1.857533799030588,
      1.8260619609646873,
      1.7956109370264886,
      1.7660858249859246,
      1.7374101873581718,
      1.7095214621995027,
      1.6823648301719927,
      1.655893546153041,
      1.630068561905899,
      1.6048572041074742,
      1.580231695852272,
      1.5561670398815066,
      1.532640371070981,
      1.5096305859683867,
      1.4871180644886672,
      1.46508445782594,
      1.4435125248355625,
      1.4223860040171337,
      1.4016895125229083,
      1.3814084631986758,
      1.3615293395950432,
      1.3420398776343803,
      1.3229282471633637,
      1.3041829476019788,
      1.2857928439410564,
      1.267747186433487,
      1.250035617063704,
      1.2326479660113434,
      1.215574652514698,
      1.198806871461578,
      1.1823360876667248,
      1.1661540318397374,
      1.1502527102172828,
      1.1346244076253995,
      1.1192622242733323,
      1.1041602799062031,
      1.0893127896190176,
      1.0747138417575846,
      1.060357503495539,
      1.0462378916793165,
      1.0323492199388782,
      1.0186858294628565,
      1.0052423719554164,
      0.9920140867742168,
      0.9789962947640951,
      0.9661843254603714,
      0.9535735625647694,
      0.9411594733844736,
      0.92893762780688,
      0.9169037091073646,
      0.9050535194801534,
      0.8933829825607092,
      0.8818881433152886,
      0.870565166734985,
      0.8594103350349639,
      0.8484203205182607,
      0.8375927080451971,
      0.8269250128864514,
      0.8164145380773231,
      0.8060584700359569,
      0.7958539427561677,
      0.7857980814422283,
      0.7758880314224186,
      0.7661209770740111,
      0.7564941535379042,
      0.7470044650913632,
      0.7376484568299808,
      0.7284228885217976,
      0.7193247899104024,
      0.710352126403527,
      0.7015037204010292,
      0.692778147831885,
      0.6841737471882544,
      0.6756887111369875,
      0.6673211488402623,
      0.6590691281291529,
      0.6509307043555186,
      0.642903939861685,
      0.6349869164553172,
      0.6271777439695083,
      0.6194745657118609,
      0.6118755613682303,
      0.6043789488100106,
      0.5969829848490033,
      0.5896859654650002,
      0.5824862256733426,
      0.5753821384839795,
      0.5683721142583374,
      0.5614545999393966,
      0.5546280780871463,
      0.5478910659558976,
      0.541242114136588,
      0.5346798061185367,
      0.5282027568434843,
      0.5218096120383333,
      0.5154990470589812,
      0.5092697662175552,
      0.503120502114252,
      0.4970500145210152,
      0.49105708932908376,
      0.48514053812345337,
      0.4792991974725566,
      0.47353192803938304,
      0.46783761389768375,
      0.4622151619553894,
      0.45666350113160364,
      0.45118158192625346,
      0.44576837567259386,
      0.44042287413695125,
      0.43514408885734196,
      0.4299310505285364,
      0.4247828085374098,
      0.419698430396325,
      0.4146770015086369,
      0.40971762453136795,
      0.4048194187180341,
      0.3999815196746908,
      0.39520307917589026,
      0.3904832643297247,
      0.38582125728824607,
      0.38121625502154727,
      0.37666746887741015,
      0.3721741242834719,
      0.36773546041561883,
      0.3633506454449404,
      0.3590186491282135,
      0.3547385024551214,
      0.35050933170144366,
      0.3463303329296919,
      0.3422007541373381,
      0.3381198825103812,
      0.3340870356049618,
      0.330101555448732,
      0.3261628039640667,
      0.32227015955833244,
      0.31842301531554174,
      0.3146207772325824,
      0.31086286279982045,
      0.30714870032930647,
      0.3034777282282058,
      0.2998493945592148,
      0.2962631564678296,
      0.29271847992034455,
      0.2892148394605512,
      0.2857517177305416,
      0.2823286054038103,
      0.2789451776101651,
      0.2756012798771248,
      0.27229667811258573,
      0.2690311731528296,
      0.26580456179283996,
      0.26261655229299263,
      0.25946679995985505,
      0.2563549930551461,
      0.25328081903639144,
      0.2502439154712305,
      0.24724388767608071,
      0.2442803203719494,
      0.24135278607842794,
      0.23846085071106882,
      0.23560407763673497,
      0.2327820304066295,
      0.22999427452161192,
      0.2272403650889709,
      0.22451980336974534,
      0.22183209739026571,
      0.21917678348059044,
      0.2165534195358951,
      0.2139615801422454,
      0.2114008953447163,
      0.20887124389057501,
      0.20637254003990085,
      0.2039046105204372,
      0.201467231061426,
      0.19906012916112964,
      0.19668299792598828,
      0.19433550844368425,
      0.19201731808201608,
      0.1897280763604531,
      0.18746742909231776,
      0.18523502101627462,
      0.18303049761464402,
      0.18085350644437745,
      0.17870369794675509,
      0.176580726032913,
      0.1744842484724938,
      0.1724139270743962,
      0.17036942783905365,
      0.16835042111453472,
      0.16635658157291314,
      0.16438758803893816,
      0.16244309317209932,
      0.1605227335288675,
      0.15862616569091667,
      0.15675306846509005,
      0.15490320792902146,
      0.15307638619612887,
      0.15127237688357906,
      0.14949093519541434,
      0.14773180487218257,
      0.14599472300636354,
      0.1442794232066361,
      0.14258563771486948,
      0.14091309907554064,
      0.13926154122463463,
      0.1376306999188628,
      0.13602031343022922,
      0.1344301226363247,
      0.1328598714936752,
      0.13130930692206488,
      0.12977817898431843,
      0.12826624091641003,
      0.12677324904697868,
      0.12529896289808024,
      0.1238431449589525,
      0.1224055609144755,
      0.12098597955325167,
      0.11958417266660713,
      0.11819991490652768,
      0.1168329839771015,
      0.11548316045442036,
      0.11415022792793925,
      0.1128339725981207,
      0.11153418351886378,
      0.11025065246784288,
      0.10898317399153781,
      0.10773154531924252,
      0.10649556634381979,
      0.10527503946508367,
      0.10406976973417277,
      0.10287956470171306,
      0.101704234382841,
      0.10054359115418027,
      0.09939744990078647,
      0.09826562794262317,
      0.09714794489975474,
      0.09604422275624681,
      0.09495428576694627,
      0.09387796041050152,
      0.0928150754516961,
      0.09176546182130808,
      0.09072895266257525,
      0.08970538328995185,
      0.08869459102840471,
      0.0876964153207643,
      0.08671069765172722,
      0.08573728163816662,
      0.08477601273262136,
      0.08382673841707997,
      0.08288929831397354,
      0.08196348442952225,
      0.08104908807192712,
      0.08014592335961991,
      0.07925382064790054,
      0.07837262223354917,
      0.07750217921215362,
      0.07664234925327378,
      0.07579299507542567,
      0.07495398326425151,
      0.07412518376713323,
      0.07330646928596664,
      0.07249771475036805,
      0.07169879727612002,
      0.07090959146523676,
      0.07012993343714015,
      0.06935964959372995,
      0.0685985863313367,
      0.06784660447749405,
      0.06710357545241168,
      0.0663693782477885,
      0.0656438976177764,
      0.06492702274391864,
      0.06421864644502323,
      0.06351866411462793,
      0.06282697354633847,
      0.06214347452639734,
      0.06146806847204168,
      0.060800658349613686,
      0.06014114861752786,
      0.05948944501596776,
      0.05884545459673258,
      0.058209085547875475,
      0.057580247271198724,
      0.05695885026035519,
      0.056344806104172716,
      0.055738027557565704,
      0.055138428343495714,
      0.05454590881013213,
      0.05396034263065005,
      0.053381612122711974,
      0.05280961181164512,
      0.05224424515836893,
      0.05168542228252139,
      0.05113305818854862,
      0.050587071646778094,
      0.05004738433092455,
      0.049513920163859464,
      0.04898660488213177,
      0.048465365817331296,
      0.04795013169004082,
      0.04744083230707829,
      0.0469373986385966,
      0.046439763681196226,
      0.045947864030121154,
      0.04546163655972775,
      0.044981017885804477,
      0.044505944697744194,
      0.04403635401460001,
      0.04357218319427417,
      0.04311337010291194,
      0.04265985315292304,
      0.04221157141281858,
      0.041768464512891096,
      0.041330472813962425,
      0.040897537254271255,
      0.040469599434188715,
      0.04004660162065704,
      0.039628486712900514,
      0.03921519830588355,
      0.03880668060076832,
      0.038402878435240755,
      0.03800373729727528,
      0.03760920336371677,
      0.037219223430104954,
      0.03683374481434266,
      0.03645271544359603,
      0.036076083876790815,
      0.03570379934228768,
      0.0353358115936622,
      0.03497207102513397,
      0.03461252857642302,
      0.034257135754146836,
      0.03390584454101624,
      0.03355860755474844,
      0.03321537794890419,
      0.03287610935693188,
      0.03254075611808269,
      0.03220927307975099,
      0.03188161546559523,
      0.03155773910116525,
      0.031237600257074068,
      0.030921155713376218,
      0.030608362829058683,
      0.03029917943572916,
      0.029993563799819153,
      0.029691474821922383,
      0.029392871821975843,
      0.029097714548718085,
      0.028805963127084545,
      0.028517578131208247,
      0.02823252072583461,
      0.02795075253668561,
      0.02767223552260205,
      0.027396932185955566,
      0.02712480543532602,
      0.026855818577215206,
      0.026589935337773363,
      0.02632711992748119,
      0.02606733690101157,
      0.025810551288817606,
      0.025556728434644793,
      0.025305834152577058,
      0.025057834640862472,
      0.024812696514825792,
      0.024570386685647014,
      0.02433087247257747,
      0.024094121675217964,
      0.023860102364792215,
      0.023628783007020034,
      0.023400132475513275,
      0.02317411988505049,
      0.02295071483655196,
      0.022729887227929863,
      0.022511607304730365,
      0.02229584564526835,
      0.02208257317254861,
      0.02187176118669577,
      0.021663381335229544,
      0.021457405552658276,
      0.021253806039659946,
      0.02105255541497564,
      0.02085362642982356,
      0.020656992363739055,
      0.02046262674809515,
      0.020270503434024867,
      0.02008058847117179,
      0.01989283579862305,
      0.01970720375751682,
      0.019523656159308633,
      0.019342160897508814,
      0.01916268868323758,
      0.018985212421749265,
      0.018809706667299822,
      0.01863614731347002,
      0.018464511104351797,
      0.018294775549791073,
      0.018126918729120745,
      0.017960919122405133,
      0.01779675581880258,
      0.01763440814189409,
      0.017473855721299707,
      0.01731507864812187,
      0.017158057237920438,
      0.0170027718962415,
      0.01684920339155586,
      0.016697332690902254,
      0.01654714092964939,
      0.016398609522171165,
      0.016251720114230175,
      0.01610645451730409,
      0.01596279480276393,
      0.01582072325063434,
      0.015680222216413107,
      0.015541274367286284,
      0.015403862550334534,
      0.015267969820897056,
      0.015133579344209787,
      0.015000674545538766,
      0.014869238892617981
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.78594287399586,
      10.568893977026688,
      10.342792341047756,
      10.11040294403541,
      9.874180749811458,
      9.63624103924888,
      9.398454393355143,
      9.162420882904547,
      8.929508500252501,
      8.700840202330449,
      8.477281718799523,
      8.259442578373266,
      8.047687593215564,
      7.842157280927202,
      7.642796292685968,
      7.449388185280365,
      7.26159126313443,
      7.078973263251229,
      6.901043970950753,
      6.727284199298661,
      6.557170691230232,
      6.39019590688556,
      6.225882131116131,
      6.06379292342138,
      5.903546936762729,
      5.744830414439098,
      5.587402854201661,
      5.431091013766685,
      5.275791185978815,
      5.121476645267871,
      4.968188716260098,
      4.816030682071012,
      4.665162335244133,
      4.515804709925722,
      4.368237232071278,
      4.222787062894915,
      4.079817122107108,
      3.9397139968013875,
      3.8028834837494117,
      3.669739807194675,
      3.5406748543907454,
      3.4160443672415313,
      3.2961599451303054,
      3.1812831149326173,
      3.0716215707598935,
      2.9673279568239552,
      2.8685057962410943,
      2.775201161254059,
      2.687405061016001,
      2.605066435092368,
      2.528078685359383,
      2.456279691032709,
      2.3894446055824208,
      2.3273074923096937,
      2.2695745216756578,
      2.215929420578128,
      2.1660187320982534,
      2.1194502366728125,
      2.0758212526849484,
      2.0347718872612544,
      1.9959479691187576,
      1.9590181932453372,
      1.9237188249629638,
      1.8898443907998128,
      1.857232214432464,
      1.825750629827831,
      1.7952891944697316,
      1.765753219025583,
      1.7370664649967291,
      1.7091665378776792,
      1.6819987563806607,
      1.6555164321346971,
      1.6296805558243943,
      1.6044583108621175,
      1.57982191390766,
      1.555746436522108,
      1.5322090607721799,
      1.5091887150536587,
      1.4866657999478012,
      1.4646219793833557,
      1.4430400196588211,
      1.42190366319876,
      1.40119752775532,
      1.3809070249090207,
      1.3610186582044836,
      1.3415201636594614,
      1.3223997001991834,
      1.3036457577828016,
      1.2852471937166343,
      1.2671932510283925,
      1.2494735652939204,
      1.2320780505774565,
      1.2149971811150708,
      1.198222118275803,
      1.1817442838651404,
      1.1655553770980844,
      1.1496473811830088,
      1.1340125638981768,
      1.1186440530572475,
      1.1035359732893673,
      1.0886825159982854,
      1.0740777522061256,
      1.0597157359915061,
      1.04559057447054,
      1.0316964740459575,
      1.0180277699151004,
      1.0045793124291598,
      0.9913463602414405,
      0.9783241573871854,
      0.9655079801476769,
      0.9528931746534363,
      0.9404751820366255,
      0.9282495535454796,
      0.9162119590299991,
      0.9043581911267352,
      0.8926841665428366,
      0.8811859253227018,
      0.8698596284645522,
      0.8587015552138968,
      0.8477085603531975,
      0.8368782468876915,
      0.8262080620031781,
      0.8156952615851555,
      0.8053369991605663,
      0.7951303858367453,
      0.7850725308248919,
      0.7751605682237971,
      0.7653916743363878,
      0.7557630786980138,
      0.746271687569379,
      0.7369140432049334,
      0.7276869006976462,
      0.7185873315072235,
      0.709613565052795,
      0.7007644079816501,
      0.6920383377188508,
      0.6834336248165266,
      0.6749484147261599,
      0.6665807840008534,
      0.6583287776110874,
      0.6501904351797347,
      0.6421638079560266,
      0.6342469701321498,
      0.6264380261263937,
      0.6187351154752773,
      0.6111364149812293,
      0.6036401405042413,
      0.5962445475513903,
      0.5889479309850554,
      0.5817486246517409,
      0.5746450008905858,
      0.5676354696275169,
      0.5607184770892921,
      0.5538925054160619,
      0.547156071476627,
      0.5405077255549069,
      0.5339460506757455,
      0.5274696614324788,
      0.5210772032615757,
      0.514767351128098,
      0.5085388090245515,
      0.5023903089655193,
      0.4963206102207373,
      0.4903284984344492,
      0.4844127848631206,
      0.47857230571039944,
      0.47280592118135284,
      0.4671125150220054,
      0.46149099368247515,
      0.4559402857682016,
      0.45045934150225164,
      0.44504713194761364,
      0.4397026483472304,
      0.43442490176224624,
      0.4292129226551845,
      0.4240657600644999,
      0.4189824812108681,
      0.4139621711056456,
      0.4090039318067593,
      0.4041068823410827,
      0.39927015807462196,
      0.39449291024426897,
      0.38977430557571535,
      0.3851135260403454,
      0.38050976832008887,
      0.375962243312006,
      0.37147017605489147,
      0.36703280521518866,
      0.36264925146517857,
      0.35831847872063577,
      0.35403953471701144,
      0.34981155729601754,
      0.34563375049752837,
      0.3415053677393941,
      0.33742569978722364,
      0.33339406687601786,
      0.3294098124624093,
      0.3254722995030097,
      0.32158090717375554,
      0.3177350287444004,
      0.3139340702073734,
      0.3101774491489499,
      0.30646459389805086,
      0.3027949425429512,
      0.2991679428961696,
      0.2955830518676172,
      0.2920397350983892,
      0.28853746671444125,
      0.28507572916223556,
      0.28165401285921937,
      0.27827203625004143,
      0.27492964985208707,
      0.2716266257857393,
      0.2683627858486386,
      0.26513790169691465,
      0.2619516640346009,
      0.2588037273769273,
      0.2556937877901679,
      0.25262151754520484,
      0.2495865439187016,
      0.24658846490550423,
      0.2436268600567266,
      0.24070129811532118,
      0.23781134230460524,
      0.23495655405438812,
      0.23213649553451846,
      0.2293507311208624,
      0.226598806296093,
      0.22388021559096472,
      0.2211944712251736,
      0.2185411125095753,
      0.21591969939851596,
      0.213329807711366,
      0.210771200139896,
      0.20824381433733452,
      0.2057475059368476,
      0.20328206988357467,
      0.20084725057411118,
      0.1984427510604639,
      0.19606824754281404,
      0.19372339928552368,
      0.19140785564863383,
      0.1891212604521117,
      0.18686325556094063,
      0.18463348296613083,
      0.1824315863245849,
      0.18025721187469437,
      0.17811000917678985,
      0.17598963149069988,
      0.1738957361354538,
      0.17182798469316468,
      0.16978604287948498,
      0.1677695808378172,
      0.16577827299964643,
      0.1638117982041046,
      0.16186981718385374,
      0.15995196739104472,
      0.1580579090827045,
      0.1561873952230114,
      0.15434021737643222,
      0.1525161407065116,
      0.15071491335536097,
      0.14893627305768492,
      0.1471799516370656,
      0.14544567787925966,
      0.14373317961450746,
      0.14204218521374232,
      0.1403724245873848,
      0.13872362978620797,
      0.13709553532135726,
      0.13548787859882677,
      0.1339004001015432,
      0.13233284335802953,
      0.130784955072816,
      0.12925648515840885,
      0.12774718674559998,
      0.1262568161463436,
      0.12478513287140415,
      0.12333189957563268,
      0.12189688193663897,
      0.12047984874059327,
      0.11908057178711322,
      0.11769882588050178,
      0.11633438876704046,
      0.1149870412346672,
      0.11365656677115316,
      0.11234275172733371,
      0.111045385254474,
      0.10976425925104438,
      0.10849916832504228,
      0.10724990974639227,
      0.10601628338280704,
      0.10479809179088688,
      0.10359514010024203,
      0.10240723596345531,
      0.1012341893365694,
      0.1000758127701738,
      0.098931921365919,
      0.09780233245545099,
      0.0966868657136724,
      0.09558534326705467,
      0.09449758931452382,
      0.09342343056993642,
      0.09236269584160224,
      0.09131521615398056,
      0.09028082462241942,
      0.08925935668525586,
      0.08825064976524813,
      0.08725454336450397,
      0.08627087910301931,
      0.08529950066299033,
      0.08434025365156146,
      0.08339298570594103,
      0.0824575401682165,
      0.08153371478987805,
      0.08062129821611264,
      0.07972010258261329,
      0.07882995702543333,
      0.07795070302459894,
      0.07708219106397039,
      0.07622427838518446,
      0.07537682747953356,
      0.07453970491490386,
      0.07371278050897488,
      0.07289592697576225,
      0.07208901930341473,
      0.07129193461745666,
      0.0705045519374297,
      0.0697267212691215,
      0.0689582665818684,
      0.06819902968309159,
      0.06744886802401957,
      0.06670765067015753,
      0.065975255191192,
      0.06525156519430063,
      0.06453646913100507,
      0.06382985918276382,
      0.06313163056805172,
      0.06244168085812201,
      0.061759909648024615,
      0.06108621843294061,
      0.060420510119163114,
      0.059762689154649225,
      0.059112661331097466,
      0.05847033371868649,
      0.057835614478059336,
      0.05720841312207932,
      0.05658864029248557,
      0.05597620763333918,
      0.05537102790993841,
      0.05477301491549372,
      0.054182083521947644,
      0.05359812297945823,
      0.05302100697220885,
      0.0524506237365571,
      0.05188687224291383,
      0.05132965948489467,
      0.05077889832085146,
      0.05023450592684827,
      0.04969640283568777,
      0.04916451227506312,
      0.04863875951290732,
      0.04811907154155137,
      0.04760537686388784,
      0.047097605263082216,
      0.04659568748175422,
      0.04609955638024928,
      0.045609148603465315,
      0.045124401022928654,
      0.04464525044410764,
      0.044171633643453334,
      0.04370348763751393,
      0.04324074990824865,
      0.04278335841422495,
      0.042331251568078536,
      0.04188436854692723,
      0.041442649099913895,
      0.04100603357401823,
      0.04057446301566737,
      0.04014787913798076,
      0.03972622422070881,
      0.039309441257195654,
      0.03889747398330262,
      0.03849026661973386,
      0.038087764141106845,
      0.03768991213432564,
      0.03729665674513357,
      0.03690794482115869,
      0.036523723802799085,
      0.03614394174398899,
      0.03576854729053942,
      0.035397489708766314,
      0.03503071875392856,
      0.034668184823901896,
      0.03430983897532321,
      0.03395563289457158,
      0.03360551862632142,
      0.03325944885362432,
      0.03291737676073977,
      0.032579256114174594,
      0.03224504126316169,
      0.03191468701532352,
      0.031588148711209865,
      0.031265382300959196,
      0.030946344149713895,
      0.030630991140559654,
      0.030319280649116404,
      0.030011170589732267,
      0.029706619343222256,
      0.029405585743514,
      0.029108029155096818,
      0.028813909403037394,
      0.028523186765382392,
      0.02823582190680713,
      0.027951776020298982,
      0.027671010780280874,
      0.02739348822132856,
      0.02711917089802473,
      0.02684802177639892,
      0.026580004235507004,
      0.02631508207662146,
      0.026053219515015193,
      0.02579438119262974,
      0.02553853223033041,
      0.02528563807870355,
      0.02503566458627687,
      0.024788577999392925,
      0.024544344899864866,
      0.024302932303160895,
      0.024064307615188116,
      0.02382843864747965,
      0.023595293583631126,
      0.023364840911793177,
      0.023137049495066772,
      0.022911888646950422,
      0.022689327963270518,
      0.022469337463834914,
      0.02225188741778089,
      0.022036948481561163,
      0.021824491577439233,
      0.021614488085033214,
      0.021406909640036297,
      0.021201728277396036,
      0.02099891629639103,
      0.020798446342849296,
      0.020600291282791998,
      0.020404424401605267,
      0.020210819286420333,
      0.020019449760699866,
      0.01983029001720348,
      0.019643314535649218,
      0.01945849555421936,
      0.019275791529085495,
      0.019095159287096215,
      0.0189165618187181,
      0.01873996642148176,
      0.018565343675032486,
      0.018392666562626135,
      0.018221909818324576,
      0.018053049446137562,
      0.01788606256252347,
      0.01772092712218562,
      0.017557621634402335,
      0.017396125021564943,
      0.01723641691828638,
      0.0170784771078578,
      0.016922285710398045,
      0.016767823174796928,
      0.016615070221081916,
      0.016464007853851187,
      0.016314617332306058,
      0.016166880122254847,
      0.016020777893336634,
      0.0158762924980381,
      0.01573340596407295,
      0.015592100621213209,
      0.015452358999997945,
      0.015314163763358498,
      0.01517749784210384,
      0.015042344259757636,
      0.01490868624417397,
      0.014776507180845376,
      0.014645790776671762
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785937503817635,
      10.56886928658843,
      10.342737667294525,
      10.110311724170826,
      9.874049501589695,
      9.636067935963188,
      9.398239096720877,
      9.162164092337083,
      8.929211515255801,
      8.700504767890532,
      8.476909788441246,
      8.259036041935433,
      8.047248128059621,
      7.841686273235634,
      7.642294686515945,
      7.4488565586871065,
      7.261029909053313,
      7.078382234439554,
      6.9004231379197,
      6.726633321821718,
      6.5564894944020295,
      6.389484234857203,
      6.225139838146609,
      6.063019801103266,
      5.902743065964032,
      5.74399636014339,
      5.586539655941787,
      5.430200228178593,
      5.274874857792237,
      5.120537287875265,
      4.967229550995529,
      4.815055439562673,
      4.664175078570057,
      4.51480989254146,
      4.3672396332861245,
      4.221791705794479,
      4.0788291748583605,
      3.9387386994867124,
      3.801926387766561,
      3.6688064881972133,
      3.5397704365843734,
      3.415173438580636,
      3.2953264911536695,
      3.180490472040099,
      3.070872400169784,
      2.9666242363926796,
      2.8678488435273524,
      2.7745913861022777,
      2.6868421571461107,
      2.6045494481347338,
      2.5276056137999627,
      2.4558474875213516,
      2.3890490853319624,
      2.3269442472718214,
      2.2692389154821697,
      2.215616685288275,
      2.165723820875884,
      2.119167839580824,
      2.075546596901678,
      2.0345007422870154,
      1.9956763729860916,
      1.9587429569758423,
      1.9234376010217136,
      1.8895554758318391,
      1.8569343787537238,
      1.8254430165317006,
      1.7949711444974814,
      1.7654242853704443,
      1.736726398974503,
      1.7088152568484456,
      1.6816363156673868,
      1.6551429429484685,
      1.629296168846278,
      1.6040630325206413,
      1.5794157445208719,
      1.5553294451867092,
      1.531781363878598,
      1.5087504602743058,
      1.4862171555569241,
      1.4641631265733468,
      1.4425711465815876,
      1.4214249616456538,
      1.400709190132083,
      1.3804092421624377,
      1.3605116409241809,
      1.3410041229886602,
      1.3218748356948662,
      1.303112259685727,
      1.284705244367223,
      1.2666430256780226,
      1.2489152329683186,
      1.231511861764768,
      1.2144234638663491,
      1.197641142443217,
      1.181156277346498,
      1.1649605373959817,
      1.1490458834585546,
      1.133404566845417,
      1.1180297429917363,
      1.102915541372667,
      1.0880561302692884,
      1.0734455637420177,
      1.0590778831847794,
      1.044947185679617,
      1.0310476698922597,
      1.0173737588154081,
      1.0039204558677608,
      0.9906829443129657,
      0.9776564063836206,
      0.9648360746575511,
      0.9522172649592006,
      0.9397953967307906,
      0.9275660060750051,
      0.9155247517729417,
      0.9036674184323623,
      0.8919899171476973,
      0.8804882832813427,
      0.8691586745301298,
      0.8579973673980503,
      0.8470013995234494,
      0.8361683921757681,
      0.825495724317956,
      0.8149806049015759,
      0.8046201544696875,
      0.7944114615039393,
      0.784351619276976,
      0.7744377506094049,
      0.7646670238309506,
      0.755036662817832,
      0.7455435765726091,
      0.7361843047840132,
      0.7269555978156663,
      0.7178546726005697,
      0.7088799708835611,
      0.7000301787900421,
      0.6913036913819587,
      0.6826987221952452,
      0.6742133771627434,
      0.6658457051259647,
      0.6575937323933516,
      0.6494554851999589,
      0.6414290054401515,
      0.6335123607784957,
      0.6257036511440479,
      0.618001012660618,
      0.6104026198534994,
      0.6029066867660989,
      0.5955114675629398,
      0.5882152561507727,
      0.5810163857725763,
      0.5739132280754158,
      0.566904192247379,
      0.5599877242064044,
      0.553162305747978,
      0.5464264531247138,
      0.5397787161831458,
      0.5332176775298176,
      0.526741951402834,
      0.5203501828128427,
      0.5140410464506631,
      0.507813245773107,
      0.5016655124999545,
      0.49559660563727626,
      0.48960531043842814,
      0.48369043783931254,
      0.4778508235840768,
      0.47208532755329646,
      0.4663928330176768,
      0.46077224607519784,
      0.4552224950715946,
      0.4497425297776623,
      0.44433132086026467,
      0.43898785929345224,
      0.43371115571165486,
      0.42850024011500426,
      0.4233541612673371,
      0.41827198604361043,
      0.41325279890610245,
      0.40829570168912116,
      0.403399813110068,
      0.398564268084296,
      0.3937882174810611,
      0.3890708275075983,
      0.38441127974093564,
      0.37980877053748036,
      0.3752625106095223,
      0.37077172469394215,
      0.36633565098291326,
      0.36195336291336977,
      0.35762381884977096,
      0.35334608308059606,
      0.34911930487280984,
      0.3449426961033178,
      0.340815515520341,
      0.3367370576463079,
      0.33270664511407455,
      0.32872362298544366,
      0.32478735496972716,
      0.3208972209703706,
      0.31705261460367,
      0.31325294196712883,
      0.3094976205979004,
      0.3057860785938392,
      0.3021177539712338,
      0.29849209428362306,
      0.29490855611971817,
      0.2913666049250306,
      0.2878657144984027,
      0.28440536692659557,
      0.2809850745988246,
      0.2776045885670419,
      0.2742637417848547,
      0.27096232759653155,
      0.2677001753025451,
      0.26447703436082987,
      0.26129257988910853,
      0.2581464717892308,
      0.2550384084313838,
      0.2519680484363183,
      0.24893500936102658,
      0.24593888226443755,
      0.2429792418819796,
      0.240055653554531,
      0.2371676781084841,
      0.23431487510052787,
      0.23149680530474673,
      0.22871303229922857,
      0.2259630885011336,
      0.2232464663639947,
      0.2205626820181708,
      0.21791127755292616,
      0.21529181451414148,
      0.21270392937820456,
      0.21014751846702487,
      0.2076224777667556,
      0.20512862397818127,
      0.2026657216896862,
      0.20023348701430166,
      0.19783160336324668,
      0.1954597333816626,
      0.19311752696707923,
      0.19080462687740046,
      0.18852067261130234,
      0.1862653029449641,
      0.18403815770779225,
      0.18183887891865153,
      0.17966711174528358,
      0.17752250503607167,
      0.1754047116048946,
      0.17331338837215582,
      0.17124819655322648,
      0.16920880185134143,
      0.16719487424842627,
      0.16520608811830345,
      0.16324212218009884,
      0.1613026455060822,
      0.15938730289136321,
      0.15749582779533314,
      0.1556279978689539,
      0.15378356729518214,
      0.15196227546853325,
      0.15016385298692847,
      0.14838802534124712,
      0.14663451594567736,
      0.1449030478330861,
      0.14319334492574384,
      0.14150513285414096,
      0.13983813977330195,
      0.13819209637101612,
      0.13656673636007186,
      0.13496179662287686,
      0.13337701718763717,
      0.13181214136001057,
      0.13026691570583507,
      0.12874109013317667,
      0.12723441783845008,
      0.12574665502104174,
      0.12427756123107724,
      0.12282689918042203,
      0.12139443460246313,
      0.11997993633127403,
      0.11858317626999695,
      0.11720392933105314,
      0.11584197335465635,
      0.1144970890938877,
      0.1131690600823098,
      0.11185767280344268,
      0.11056271650105565,
      0.10928398311966925,
      0.10802126734326105,
      0.10677436648378201,
      0.10554308056984998,
      0.10432721219001112,
      0.10312656651658594,
      0.10194095130643743,
      0.10077017670093123,
      0.09961405529468,
      0.09847240221283657,
      0.09734503496185345,
      0.096231773237603,
      0.09513243914182574,
      0.0940468570955061,
      0.09297485389361407,
      0.091916258405994,
      0.09087090170523611,
      0.08983861711959476,
      0.08881924005860349,
      0.08781260804976657,
      0.08681856067441844,
      0.08583693953013391,
      0.08486758836569899,
      0.08391035296303895,
      0.08296508102974526,
      0.08203162002576124,
      0.08110977382211064,
      0.08019932811916367,
      0.07930009310465946,
      0.07841189656339131,
      0.0775345790118554,
      0.07666799036383863,
      0.07581198746237595,
      0.07496643251616567,
      0.07413119195057354,
      0.07330613559618357,
      0.07249113595046917,
      0.07168606810486865,
      0.07089080913415416,
      0.07010523813321831,
      0.06932922140784854,
      0.06856258524001825,
      0.06780516585137338,
      0.06705681688368863,
      0.06631740469594147,
      0.06558680495745096,
      0.06486490002425982,
      0.06415157756287604,
      0.06344672914973261,
      0.06275024951862151,
      0.06206203597929137,
      0.06138198807174832,
      0.06071000706032893,
      0.060045996003764354,
      0.05938985944087871,
      0.0587415029958479,
      0.058100833754219726,
      0.057467760167370825,
      0.05684219165973287,
      0.05622403888261246,
      0.05561321352368405,
      0.055009628413400465,
      0.05441319747337971,
      0.053823835617921374,
      0.053241453150540026,
      0.052665931639310964,
      0.05209715070828198,
      0.051535003464295535,
      0.05097939261705878,
      0.05043022791933425,
      0.0498874244899482,
      0.04935090148531482,
      0.04882058112690819,
      0.04829638796315896,
      0.04777824861445928,
      0.0472660911825149,
      0.04675984522187969,
      0.04625944147253161,
      0.045764812537677384,
      0.04527589488346601,
      0.04479262550945088,
      0.044314941230002104,
      0.04384277896610902,
      0.04337607576347682,
      0.0429147691644794,
      0.04245879725747333,
      0.042008098610528746,
      0.0415626123754242,
      0.041122278378245065,
      0.04068703712014525,
      0.04025682969164286,
      0.039831597791049514,
      0.03941128385338028,
      0.03899583094015565,
      0.03858518281638229,
      0.038179283842462976,
      0.03777807904971542,
      0.03738151411980271,
      0.03698953520450864,
      0.03660208922774789,
      0.03621912374824104,
      0.03584058685324376,
      0.03546642724536718,
      0.03509659431262076,
      0.034731038061033497,
      0.03436970887808892,
      0.03401255774279693,
      0.03365953637442865,
      0.03331059692939178,
      0.032965692167323826,
      0.03262477540317332,
      0.032287800483776136,
      0.03195472176331301,
      0.031625494112406706,
      0.031300072938919336,
      0.030978414274407503,
      0.03066047455767262,
      0.03034621074737194,
      0.030035580300055827,
      0.029728541165883395,
      0.029425051830988896,
      0.02912507118041826,
      0.02882855865213184,
      0.028535474157866454,
      0.028245778002554546,
      0.027959430973949692,
      0.027676394290863413,
      0.027396629696344446,
      0.027120099342827726,
      0.02684676577765697,
      0.026576592034959753,
      0.026309541567281165,
      0.02604557816607783,
      0.02578466622084451,
      0.02552677040130706,
      0.0252718558404792,
      0.025019887994985536,
      0.024770832834002075,
      0.02452465669979734,
      0.02428132625851874,
      0.024040808592307634,
      0.023803071175306265,
      0.023568081812919032,
      0.023335808760733337,
      0.02310622061287875,
      0.022879286315651927,
      0.022654975169978664,
      0.02243325677472323,
      0.022214101200103673,
      0.02199747885773219,
      0.021783360441947338,
      0.021571716961287634,
      0.0213625197648068,
      0.021155740614209252,
      0.020951351477758784,
      0.020749324840267227,
      0.020549633417229467,
      0.02035225010500861,
      0.02015714826264863,
      0.019964301410192793,
      0.019773683481286244,
      0.019585268809864567,
      0.01939903187053058,
      0.01921494743940107,
      0.019032990673243367,
      0.01885313692297107,
      0.018675353465557175,
      0.018499597031825226,
      0.0183258288666449,
      0.018154015236411792,
      0.01798412617132421,
      0.01781613423458588,
      0.017650014154331182,
      0.01748574211375149,
      0.01732329543523705,
      0.017162652230708796,
      0.017003791334825713,
      0.01684669215839086,
      0.016691334614037406,
      0.016537699043765144,
      0.016385766052867203,
      0.016235516675501094,
      0.01608693207128458,
      0.015939993680625868,
      0.01579468309444817,
      0.015650982312906715,
      0.015508873451954825,
      0.015368338826108944,
      0.015229360948904501,
      0.01509192250241478,
      0.014956006403077754,
      0.01482159583634408,
      0.014688674139806023,
      0.014557224846029886,
      0.014427231656130697
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785932145642994,
      10.568844652184698,
      10.342683122244841,
      10.11022073161301,
      9.873918601240092,
      9.635895321190127,
      9.398024445964111,
      9.161908115984188,
      8.928915520203795,
      8.700170502612114,
      8.476539210264,
      8.258631044213269,
      8.046810388136285,
      7.841217176195914,
      7.64179517724206,
      7.4483272153833395,
      7.260471025402377,
      7.077793863224289,
      6.899805152772647,
      6.7259854864028465,
      6.555811537890171,
      6.388776006069671,
      6.224401195083381,
      6.062250539223365,
      5.9019432698752174,
      5.743166598114883,
      5.585680969734519,
      5.429314175388613,
      5.273963482649995,
      5.119603100489568,
      4.966275768410412,
      4.814085785857863,
      4.663193606709279,
      4.513821042994934,
      4.3662481695837165,
      4.220802631165665,
      4.077847635741453,
      3.937769910939724,
      3.800975982997563,
      3.667879999853912,
      3.538872946505932,
      3.41430949406241,
      3.2945000385664884,
      3.17970481031666,
      3.0701301563783066,
      2.9659273567896824,
      2.867198618630902,
      2.773988201845583,
      2.6862856879500607,
      2.6040387207919085,
      2.527138612445047,
      2.455420965372846,
      2.3886588832542746,
      2.326585970248216,
      2.2689079606537486,
      2.2153083193437024,
      2.165433036833668,
      2.118889364028845,
      2.0752756900381986,
      2.0342332030628745,
      1.9954082702508584,
      1.9584711279525537,
      1.9231597180429159,
      1.8892698518812494,
      1.856639796472388,
      1.82513862911489,
      1.7946563013435017,
      1.765098545801781,
      1.7363895188951408,
      1.7084671577212096,
      1.6812770558093073,
      1.6547726366150088,
      1.6289149685326836,
      1.6036710138932626,
      1.5790128884025536,
      1.5549158070519156,
      1.5313570502856444,
      1.5083156126489192,
      1.4857719377797207,
      1.4637077167833603,
      1.4421057314167374,
      1.4209497310360952,
      1.4002243354910768,
      1.379914953952061,
      1.3600081300582414,
      1.3404916005696468,
      1.321353502192763,
      1.3025823065441557,
      1.284166854399521,
      1.2660963742827525,
      1.2483604894474827,
      1.2309492606264953,
      1.2138533380435022,
      1.1970637649930804,
      1.1805718786645267,
      1.1643693169279663,
      1.148448017855989,
      1.1328002159411046,
      1.1174190940918154,
      1.1022987860727012,
      1.0874334368408174,
      1.072817083189983,
      1.0584437538271643,
      1.0443075363046688,
      1.0304026217491487,
      1.0167235942656123,
      1.0032655222979159,
      0.9900235082552017,
      0.9769926781437134,
      0.964168225317092,
      0.951545437972189,
      0.9391197163708904,
      0.92688658269689,
      0.914841685676824,
      0.9029808026941623,
      0.8912998391140207,
      0.8797948265636818,
      0.86846191951668,
      0.8572974441998018,
      0.8462985949245614,
      0.835462958692718,
      0.8247878551038036,
      0.8142704515284578,
      0.8039078396767974,
      0.7936970878535148,
      0.7836352751632066,
      0.7737195146004947,
      0.7639469675073322,
      0.7543148524185185,
      0.7448200818231078,
      0.7354591936354685,
      0.7262289335682749,
      0.717126690241931,
      0.7081510819448995,
      0.699300677162271,
      0.6905737906089985,
      0.6819685800950773,
      0.6734831129579377,
      0.6651154112937752,
      0.6568634824636815,
      0.6487253398120499,
      0.6406990165484735,
      0.6327825738671852,
      0.6249741071354541,
      0.617271749243192,
      0.6096736724886315,
      0.6021780893502539,
      0.5947832526201401,
      0.5874874552441668,
      0.5802890297534674,
      0.5731863470443128,
      0.5661778156592153,
      0.5592618810946441,
      0.5524370246617587,
      0.5457017621606659,
      0.5390546429335334,
      0.5324942491763169,
      0.526019194854096,
      0.5196281245817963,
      0.5133197127797215,
      0.5070926625495865,
      0.5009457052672668,
      0.4948775993964641,
      0.48888712979923227,
      0.4829731070125988,
      0.4771343664192836,
      0.47136976749354464,
      0.4656781933036699,
      0.4600585496134074,
      0.45450976414416033,
      0.4490307862805771,
      0.4436205864086286,
      0.4382781551945373,
      0.43300250288247255,
      0.4277926591470809,
      0.4226476722065837,
      0.417566608572031,
      0.41254855244180383,
      0.407592605355249,
      0.4026978855207625,
      0.3978635274563621,
      0.3930886816388837,
      0.3883725141128528,
      0.3837142060094624,
      0.37911295328196376,
      0.3745679662526848,
      0.37007846925163596,
      0.36564368615752135,
      0.36126265028369015,
      0.35693432870743436,
      0.3526577999736867,
      0.34843222323315565,
      0.3442568171023375,
      0.34013084483761336,
      0.33605360410441815,
      0.33202441947495703,
      0.3280426375022794,
      0.3241076228529782,
      0.3202187558425059,
      0.3163754302585933,
      0.31257705225520815,
      0.3088230393222401,
      0.3051128193532962,
      0.3014458301917442,
      0.2978215191323975,
      0.29423934256949047,
      0.2906987655863934,
      0.2871992617167633,
      0.2837403126343578,
      0.2803214527346952,
      0.2769424652913466,
      0.2736031655991954,
      0.2703033767831192,
      0.2670429243398166,
      0.2638215364684555,
      0.2606388735523073,
      0.2574946066891677,
      0.2543884294594982,
      0.25131998764796737,
      0.2482888897053608,
      0.24529472027363755,
      0.24233704949531387,
      0.23941543937659407,
      0.23652944836088194,
      0.23367863449958642,
      0.23086255727053018,
      0.22808077923467815,
      0.22533281993012177,
      0.22261816980426224,
      0.2199363489560949,
      0.21728690199282394,
      0.21466939236285099,
      0.2120836029142033,
      0.2095294689445884,
      0.20700683239747178,
      0.20451547846255605,
      0.2020551391058863,
      0.19962550709504046,
      0.1972262497211119,
      0.19485701844578382,
      0.19251745547698065,
      0.19020719821384433,
      0.1879258823805679,
      0.185673144115492,
      0.1834486214299822,
      0.18125195524803836,
      0.17908278988975296,
      0.17694077350978757,
      0.1748255584170049,
      0.17273680123779475,
      0.1706741630394201,
      0.16863730931132065,
      0.166625909957893,
      0.16463963920721228,
      0.1626781757092095,
      0.16074120033761377,
      0.15882843896201945,
      0.15693964904110144,
      0.15507456967411584,
      0.15323292868560567,
      0.1514144473932421,
      0.14961884380048385,
      0.1478458349334513,
      0.1460951382921569,
      0.1443664728291474,
      0.1426595597077304,
      0.14097412273457538,
      0.13930988865291108,
      0.13766658739282486,
      0.13604395210227863,
      0.1344417191744131,
      0.13285962856482939,
      0.1312974234327263,
      0.12975485030079095,
      0.1282316589329562,
      0.12672760238754166,
      0.12524243710653152,
      0.12377592263371458,
      0.12232782167380028,
      0.12089790001495639,
      0.11948592667810685,
      0.11809167361836811,
      0.11671491576056922,
      0.11535543103187476,
      0.11401300019419824,
      0.11268740694707617,
      0.11137843781737496,
      0.11008588210320544,
      0.10880953180779332,
      0.10754918170998069,
      0.10630462926566812,
      0.10507567455041752,
      0.10386212028071674,
      0.1026637716599968,
      0.10148043648744372,
      0.10031192498956734,
      0.09915804984466041,
      0.09801862620282087,
      0.09689347158119785,
      0.09578240587554027,
      0.09468525140533282,
      0.09360183263707096,
      0.09253197630900763,
      0.0914755113477734,
      0.09043226900279629,
      0.08940208263880632,
      0.08838478775868193,
      0.0873802219321469,
      0.08638822489071976,
      0.08540863837602243,
      0.08444130622435556,
      0.08348607422965061,
      0.08254279008683485,
      0.08161130346256953,
      0.08069142582038782,
      0.07978294187099134,
      0.07888565946191,
      0.07799940463552431,
      0.07712401678201361,
      0.07625934501456229,
      0.07540524571364937,
      0.0745615807263541,
      0.07372821625410879,
      0.07290502195420995,
      0.07209187045537455,
      0.07128863669650963,
      0.0704951978534396,
      0.06971143292368305,
      0.06893721787158698,
      0.06817239079216807,
      0.06741678146990351,
      0.06667023914070337,
      0.06593262708862001,
      0.06520381871177955,
      0.06448369497903476,
      0.06377214247235592,
      0.06306905206149571,
      0.06237431813286275,
      0.06168783776805587,
      0.06100951026374149,
      0.060339236805958436,
      0.059676920275817266,
      0.05902246504568383,
      0.058375776952929545,
      0.05773676321537927,
      0.057105332177097554,
      0.056481393347952345,
      0.055864857457103775,
      0.055255636355217,
      0.05465364288279497,
      0.05405879100618279,
      0.0534709956620781,
      0.0528901729968939,
      0.052316226869429196,
      0.051749034565525404,
      0.05118848147290236,
      0.05063446499960298,
      0.05008689124591399,
      0.049545672642249024,
      0.049010726555992305,
      0.04848197385703194,
      0.04795933820965725,
      0.04744274556573116,
      0.0469321236795504,
      0.046427401763307376,
      0.045928510418455935,
      0.045435382135006114,
      0.04494795321759289,
      0.04446616075105102,
      0.04398994157996837,
      0.04351923267363,
      0.043053971160368264,
      0.04259409467435512,
      0.04213954129379628,
      0.04169024970374737,
      0.04124615911923173,
      0.040807209420450755,
      0.040373341172984856,
      0.03994449550401758,
      0.03952061424822724,
      0.03910163998175361,
      0.03868751586481043,
      0.03827818568084981,
      0.037873593814523716,
      0.03747368538756473,
      0.03707840607322295,
      0.03668770217688328,
      0.036301520725387205,
      0.0359198093046485,
      0.03554251613823146,
      0.03516958997723091,
      0.03480098025010244,
      0.0344366369604251,
      0.034076510672910273,
      0.033720552507874334,
      0.03336871421119737,
      0.033020947987892575,
      0.032677206639650666,
      0.03233744357769015,
      0.03200161267877455,
      0.03166966838478117,
      0.03134156566438983,
      0.031017260091659064,
      0.030696707634010206,
      0.030379864864960894,
      0.03006668879417893,
      0.02975713689655043,
      0.02945116721934729,
      0.029148738304051708,
      0.02884980909724555,
      0.02855433906665472,
      0.028262288141253797,
      0.027973616732450544,
      0.027688285738191248,
      0.02740625652365914,
      0.027127490757089028,
      0.02685195070525524,
      0.026579599031472473,
      0.026310398840445795,
      0.02604431352728402,
      0.02578130704143315,
      0.025521343774050385,
      0.025264388533110256,
      0.025010406485087677,
      0.024759363177636447,
      0.02451122459541609,
      0.024265957154065668,
      0.024023527533706193,
      0.02378390293975858,
      0.02354705089475719,
      0.023312939257533364,
      0.023081536310510582,
      0.02285281065746424,
      0.02262673139961357,
      0.022403267836380823,
      0.022182389796900823,
      0.02196406729896703,
      0.021748270781516647,
      0.021534971065091838,
      0.021324139173817834,
      0.021115746514586243,
      0.020909764853921844,
      0.0207061662900467,
      0.020504923238947488,
      0.020306008421761137,
      0.020109394872261824,
      0.01991505600920615,
      0.01972296553857059,
      0.01953309740769692,
      0.019345425894019278,
      0.01915992558695112,
      0.01897657135811434,
      0.01879533837108687,
      0.01861620197117918,
      0.018439138002374813,
      0.018264122432551214,
      0.01809113085911645,
      0.017920126729433584,
      0.01775106837742398,
      0.017583920207823678,
      0.017418650908511593,
      0.01725523246266543,
      0.017093639173892835,
      0.016933847082335488,
      0.016775833577916767,
      0.016619577025545763,
      0.016465056546789193,
      0.01631225194433474,
      0.01616114347008803,
      0.01601171181138582,
      0.015863938034427635,
      0.015717803490816508,
      0.015573289744455607,
      0.015430378715427608,
      0.015289052564717659,
      0.015149293662275912,
      0.015011084524327626,
      0.014874407922802634,
      0.014739246894184837,
      0.014605584590217706,
      0.014473404351684455,
      0.014342689719562363,
      0.01421342440846922
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785926799370207,
      10.568820075951116,
      10.342628715454243,
      10.110129987381189,
      9.873788084240047,
      9.63572324313205,
      9.3978104968444,
      9.161653014809644,
      8.92862058047359,
      8.699837477994777,
      8.476170059498102,
      8.258227660975058,
      8.046374450049244,
      7.840750064324879,
      7.641297833315014,
      7.447800219856207,
      7.2599146738604095,
      7.077208211092919,
      6.899190076428713,
      6.72534075278574,
      6.55513687992408,
      6.388071277441074,
      6.223666259643512,
      6.061485195887314,
      5.901147606316959,
      5.742341184560399,
      5.584826849935264,
      5.428432907832395,
      5.27305711009929,
      5.118674129880663,
      4.96532741155197,
      4.813121760978192,
      4.662217960730692,
      4.512838205463469,
      4.365262889367511,
      4.219819893945812,
      4.076872566466241,
      3.9368077345138057,
      3.8000322996329525,
      3.666960307576409,
      3.537982292799988,
      3.413452392373954,
      3.293680401797504,
      3.1789259059260018,
      3.069394582733447,
      2.9652370353992246,
      2.8665548179358207,
      2.773391289347898,
      2.6857353221914946,
      2.6035338094906892,
      2.526677044513072,
      2.454999517509934,
      2.3882734232057796,
      2.326231978492644,
      2.26858088749299,
      2.2150034840659507,
      2.1651454906791288,
      2.118613885372628,
      2.0750075862401824,
      2.033968315732176,
      1.99514270700408,
      1.958201757859328,
      1.9228842384828573,
      1.8889865948041213,
      1.8563475592102598,
      1.824836575547956,
      1.7943437897100238,
      1.7647751423234905,
      1.736054984776397,
      1.7081214184724502,
      1.680920172942192,
      1.6544047263149912,
      1.6285361846183612,
      1.603281447189916,
      1.578612515461068,
      1.5545046812604997,
      1.53093527713243,
      1.5078833321828222,
      1.4853293132654886,
      1.4632549255889886,
      1.4416429595583045,
      1.4204771688349762,
      1.3997421740858378,
      1.3794233841861192,
      1.3595073627631842,
      1.3399818466070286,
      1.320834961428904,
      1.3020551693531508,
      1.2836313035331497,
      1.2655525855763534,
      1.2478086324766198,
      1.23038954020395,
      1.2132860713925075,
      1.1964892397034286,
      1.1799903353820362,
      1.1637809619425243,
      1.1478530326894048,
      1.1321987805712082,
      1.116811406813032,
      1.1016850318851694,
      1.0868137796154391,
      1.072191670752468,
      1.0578127219223847,
      1.0436710117491128,
      1.029760765921773,
      1.016076744598723,
      1.0026139925450255,
      0.9893675421278354,
      0.9763324706345754,
      0.9635039369754582,
      0.9508772050030436,
      0.9384476575910687,
      0.9262108046310766,
      0.9141622861580769,
      0.9022978731274619,
      0.8906134660678829,
      0.8791050928451706,
      0.867768905138128,
      0.8566013219958895,
      0.8455996732253201,
      0.8347614683512782,
      0.8240839738972215,
      0.8135643202738932,
      0.8031995738821476,
      0.7929867850816079,
      0.7829230205174914,
      0.773005384344379,
      0.7632310314876916,
      0.7535971760363183,
      0.7441007353915594,
      0.7347382456438339,
      0.7255064477546512,
      0.7164030122792812,
      0.7074265859473117,
      0.6985756320375274,
      0.6898483926725322,
      0.6812429753247495,
      0.6727574122576188,
      0.6643897016814824,
      0.6561378339611622,
      0.6479998106244985,
      0.6399736565999432,
      0.632057427363487,
      0.6242492141360422,
      0.6165471468070077,
      0.6089493958038987,
      0.6014541719616772,
      0.5940597268737328,
      0.5867643525434104,
      0.5795663805774913,
      0.5724641814148319,
      0.5654561632437216,
      0.5585407709467037,
      0.551716485233228,
      0.5449818215092984,
      0.5383353288224584,
      0.5317755891161922,
      0.525301215706275,
      0.518910852713869,
      0.5126031742652495,
      0.5063768831069668,
      0.5002307103199212,
      0.4941634140254871,
      0.4881737786900391,
      0.4822606145228206,
      0.47642275641171833,
      0.470659063544684,
      0.4649684184998964,
      0.45934972662114903,
      0.4538019154268079,
      0.4483239339542036,
      0.44291475201660685,
      0.4375733597811495,
      0.4322987672899113,
      0.4270900037480801,
      0.4219461170900619,
      0.4168661734180919,
      0.41184925664708094,
      0.4068944677456985,
      0.4020009246701721,
      0.39716776164430256,
      0.39239412872791707,
      0.38767919159916325,
      0.38302213119614165,
      0.37842214306729643,
      0.37387843701518214,
      0.3693902370104512,
      0.3649567426959958,
      0.3605769524322532,
      0.35624985187080105,
      0.3519745322192896,
      0.34775016138808784,
      0.34357596407582053,
      0.33945120776376453,
      0.3353751928671621,
      0.33134724572416374,
      0.32736671382652405,
      0.32343296264070004,
      0.3195453726856805,
      0.31570333802948863,
      0.31190626474975747,
      0.3081535701807195,
      0.30444468214391623,
      0.3007790382250492,
      0.2971560855017263,
      0.29357527999798944,
      0.2900360866018773,
      0.28653797849295515,
      0.2830804371091113,
      0.27966301864755766,
      0.2762855384225495,
      0.2729478126690893,
      0.26964968524324906,
      0.2663909591359308,
      0.26317134436461465,
      0.2599904921089106,
      0.2568480841759839,
      0.2537438064970313,
      0.2506772932021244,
      0.2476481445762711,
      0.2446559394455533,
      0.2417002437507938,
      0.2387806166898358,
      0.23589661463027572,
      0.23304779395310327,
      0.2302337129524014,
      0.22745392982410875,
      0.22470795308995117,
      0.22199527477764341,
      0.21931541827352843,
      0.21666793057194966,
      0.2140524498837628,
      0.2114688845806491,
      0.20891711516415112,
      0.20639694874848943,
      0.20390813842585473,
      0.20145038964237305,
      0.19902337677702628,
      0.1966267544264903,
      0.19426016529809254,
      0.19192324554213624,
      0.18961562832074833,
      0.18733694645367943,
      0.18508683403699092,
      0.18286492769015272,
      0.18067086733461313,
      0.17850429655787167,
      0.1763648630358899,
      0.17425221878605202,
      0.17216602022699157,
      0.17010592816017508,
      0.16807160787659767,
      0.16606272916724718,
      0.16407896626236096,
      0.16212000203590782,
      0.16018559797975357,
      0.15827551697408257,
      0.1563894764252222,
      0.15452718799632315,
      0.1526883605711037,
      0.150872702530955,
      0.1490799228746526,
      0.14730973240660686,
      0.14556184441920725,
      0.14383597495514835,
      0.14213184327403722,
      0.14044917180609198,
      0.13878768642693293,
      0.13714711648794012,
      0.13552719477406105,
      0.1339276574723518,
      0.13234824432879502,
      0.1307886984599891,
      0.1292487662259499,
      0.1277281974441684,
      0.12622674523897964,
      0.1247441660223388,
      0.12328021947873219,
      0.12183466836991863,
      0.12040727861015466,
      0.11899781914172622,
      0.11760606203677001,
      0.11623178229750405,
      0.11487475785055973,
      0.11353476956360324,
      0.11221160127183852,
      0.11090503948353335,
      0.10961487360983217,
      0.10834089589244471,
      0.10708290109943307,
      0.10584068673167897,
      0.1046140529462296,
      0.10340280248876593,
      0.10220674062833014,
      0.1010256752535491,
      0.09985941667878671,
      0.09870777777699577,
      0.09757057368838161,
      0.09644762203365939,
      0.09533874273474993,
      0.09424375814909318,
      0.09316249290717624,
      0.09209477377704811,
      0.09104042984802165,
      0.08999929241732023,
      0.08897119492913343,
      0.08795597298479965,
      0.08695346428438558,
      0.08596350854390249,
      0.0849859476360441,
      0.08402062535059973,
      0.08306738763576144,
      0.08212608236360548,
      0.08119655929345403,
      0.08027863881161647,
      0.07937210682018468,
      0.07847676823438882,
      0.07759244716018361,
      0.07671898162309997,
      0.07585621983287036,
      0.07500401750485304,
      0.07416223608201335,
      0.07333074148410691,
      0.0725094032781354,
      0.07169809382118361,
      0.07089668808798509,
      0.07010506327635833,
      0.06932309853842428,
      0.06855067483066342,
      0.06778764527855431,
      0.06703383694144874,
      0.06628909384603444,
      0.06555327570700857,
      0.0648262533743732,
      0.06410790608625896,
      0.06339811923727419,
      0.0626967830264337,
      0.06200379117731993,
      0.06131904032098283,
      0.060642429536149615,
      0.05997385991763945,
      0.05931323430224819,
      0.058660457096413356,
      0.05801543405599559,
      0.057378072452739445,
      0.05674828064839594,
      0.05612596822972801,
      0.05551104602098313,
      0.054903425782765046,
      0.054303020576262476,
      0.05370974436235645,
      0.05312351224392775,
      0.052544240371576734,
      0.051971845850602195,
      0.05140622369997573,
      0.05084725155826109,
      0.05029481997704458,
      0.04974883017873572,
      0.04920919120173547,
      0.04867581792437693,
      0.04814862964340402,
      0.047627548847247424,
      0.04711250069841113,
      0.04660341241483044,
      0.04610021296780683,
      0.04560283262101783,
      0.045111203660821324,
      0.04462526219411742,
      0.04414494525952717,
      0.04367018973680064,
      0.04320093258458326,
      0.04273711121515005,
      0.042278663209085215,
      0.04182552675923299,
      0.041377640588894656,
      0.04093494404055582,
      0.0404973770493001,
      0.0400648801949399,
      0.039637394782097185,
      0.03921486265249612,
      0.03879722640676057,
      0.0383844292565577,
      0.03797641515000884,
      0.03757312861321094,
      0.037174514766058285,
      0.03678051933056744,
      0.03639108880707884,
      0.03600617024949272,
      0.03562571122392017,
      0.03524966002373974,
      0.034877965607499804,
      0.03451057735199643,
      0.03414744537615319,
      0.03378852022503805,
      0.0334337532239678,
      0.03308309611961247,
      0.03273650126981587,
      0.03239392153387952,
      0.03205531033631057,
      0.03172062165639767,
      0.03138981003294733,
      0.031062830465905737,
      0.030739638507616743,
      0.0304201903434184,
      0.030104442531192595,
      0.029792352181455217,
      0.029483876868961263,
      0.029178974676700054,
      0.028877604130512102,
      0.02857972431978254,
      0.028285294823471335,
      0.027994275688399604,
      0.027706627320889278,
      0.02742231061784899,
      0.027141286975969604,
      0.026863518271206793,
      0.026588966741035454,
      0.02631759510411064,
      0.026049366474512357,
      0.025784244481430813,
      0.02552219312979325,
      0.02526317679630627,
      0.025007160309242448,
      0.024754108906172138,
      0.02450398823773183,
      0.024256764322213045,
      0.02401240359378459,
      0.023770872894937616,
      0.02353213946431133,
      0.023296170852954098,
      0.023062934994372824,
      0.02283240024424693,
      0.022604535326488814,
      0.02237930932507557,
      0.02215669164578586,
      0.021936652061621334,
      0.021719160702399844,
      0.021504188077845043,
      0.02129170494275896,
      0.02108168255785708,
      0.02087409232884778,
      0.020668906038088932,
      0.02046609586118021,
      0.020265634302222835,
      0.02006749415619162,
      0.019871648472297516,
      0.019678070683585947,
      0.019486734566441663,
      0.01929761416328931,
      0.019110683826982368,
      0.018925918133199236,
      0.018743291939550617,
      0.01856278052893584,
      0.018384359455201362,
      0.018208004561927726,
      0.018033691830370242,
      0.0178613976161007,
      0.017691098499104007,
      0.017522771388988344,
      0.017356391196495444,
      0.01719192046797239,
      0.017029320230553747,
      0.016868556994107,
      0.016709601271022997,
      0.016552426411132134,
      0.016397007937595433,
      0.016243322999366136,
      0.016091349944401753,
      0.015941068107689367,
      0.015792457456675225,
      0.015645498518991628,
      0.01550017236348001,
      0.01535646038579202,
      0.015214344369304774,
      0.015073806337061159,
      0.01493482862779695,
      0.01479739375655443,
      0.014661484555932412,
      0.014527084032590941,
      0.014394175345069957,
      0.01426274190301576,
      0.014132767302194028,
      0.01400423534916245
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785921466321705,
      10.568795562260446,
      10.34257445199933,
      10.110039492133286,
      9.873657942395342,
      9.63555168391363,
      9.397597225383523,
      9.1613987614437,
      8.928326666273886,
      8.699505661880222,
      8.475802305224235,
      8.257825862973238,
      8.045940285943518,
      7.840284877036069,
      7.640802533823095,
      7.447275395631627,
      7.259360629196269,
      7.076625010618506,
      6.898577604213764,
      6.7246987823843005,
      6.554465151269965,
      6.387369632532665,
      6.22293444998901,
      6.060723043386688,
      5.900355219381409,
      5.741519151080736,
      5.5839762279064145,
      5.427555268112116,
      5.272154505631325,
      5.117749074134347,
      4.964383121812708,
      4.812161957043118,
      4.661246688670974,
      4.51185989124868,
      4.364282274808805,
      4.218841954730575,
      4.075902414742602,
      3.9358505806271102,
      3.7990937252737664,
      3.666045789337656,
      3.537096855169856,
      3.412600525554806,
      3.292865996456215,
      3.178152208341829,
      3.0686641706740794,
      2.9645518108645774,
      2.865916032682194,
      2.7727992950785567,
      2.685189764451153,
      2.603033582821081,
      2.5262200291641657,
      2.4545824884890832,
      2.387892248852312,
      2.325882143377758,
      2.2682578476949153,
      2.2147025345996907,
      2.1648616973397945,
      2.118342042397315,
      2.0747430168557304,
      2.0337068773959137,
      1.9948805239628584,
      1.9579357136855418,
      1.9226120423239157,
      1.88870658817966,
      1.8560585472692475,
      1.8245377288394384,
      1.79403447181529,
      1.7644549243000998,
      1.7357236317331213,
      1.7077788588276706,
      1.680566470463446,
      1.654039998985265,
      1.6281605881464718,
      1.602895074224072,
      1.5782153441990732,
      1.5540967659446487,
      1.5305167235605646,
      1.5074542816388874,
      1.4848899298981357,
      1.4628053880067178,
      1.4411834545565563,
      1.4200078872532484,
      1.3992633077229288,
      1.378935123819925,
      1.3590099191428686,
      1.3394754311018038,
      1.3203197743388853,
      1.3015314017661226,
      1.2830991382254362,
      1.2650121984283993,
      1.2472601933305354,
      1.2298332399638536,
      1.2127222198260084,
      1.195918131423966,
      1.179412216011222,
      1.1631960415160458,
      1.147261495044142,
      1.131600807740195,
      1.1162071988364737,
      1.1010747744374731,
      1.0861976364750638,
      1.07156979000352,
      1.0571852397646009,
      1.0430380552423986,
      1.0291225751169006,
      1.0154336843239335,
      1.0019663417942755,
      0.9887155204795582,
      0.9756762561698135,
      0.9628436784840976,
      0.950213030734978,
      0.9377796811256156,
      0.925539128891461,
      0.9134870063407275,
      0.9016190788558793,
      0.8899312427238673,
      0.8784195224350534,
      0.8670800671031093,
      0.8559093888254323,
      0.8449049528223123,
      0.8340641913117158,
      0.8233843178583795,
      0.8128624263336655,
      0.8024955574345031,
      0.7922807438401948,
      0.7822150395925132,
      0.7722955397079025,
      0.7625193929539986,
      0.7528838090016815,
      0.7433857102664249,
      0.7340216314206974,
      0.7247883176503948,
      0.7156837167424132,
      0.7067064943919017,
      0.6978550103749755,
      0.6891274348730791,
      0.6805218256643614,
      0.6720361806515223,
      0.6636684739263865,
      0.6554166794338783,
      0.6472787873054793,
      0.6392528141230448,
      0.6313368095506143,
      0.6235288610246282,
      0.6158270957176302,
      0.6082296817570882,
      0.6007348283610527,
      0.5933407860755802,
      0.5860458459845417,
      0.5788483389445757,
      0.5717466347036845,
      0.5647391406829845,
      0.5578243013965026,
      0.5510005971443546,
      0.5442665429264548,
      0.5376206875076487,
      0.531061612207434,
      0.524587930158088,
      0.5181982850447592,
      0.5118913505530295,
      0.5056658291812988,
      0.4995204515671249,
      0.49345397549254855,
      0.4874651851061446,
      0.48155289000995444,
      0.47571592474856755,
      0.4699531480684545,
      0.46426344220585475,
      0.4586457121038603,
      0.45309888501961837,
      0.44762190948176356,
      0.44221375502521126,
      0.43687341150977926,
      0.4315998885089809,
      0.42639221484718787,
      0.42124943816056687,
      0.41617062405150407,
      0.41115485603305874,
      0.4062012348161164,
      0.4013088779081713,
      0.3964769192191799,
      0.3917045084982293,
      0.38699081106081673,
      0.3823350072734894,
      0.3777362923058345,
      0.37319387571928064,
      0.3687069811226545,
      0.3642747841737773,
      0.35989624881084253,
      0.3555703790543086,
      0.3512962786463571,
      0.34707312420634984,
      0.3429001461333962,
      0.33877661590418046,
      0.33470183666881703,
      0.33067513659079534,
      0.32669586446396415,
      0.32276338626876766,
      0.31887708294976935,
      0.31503634863164454,
      0.31124058944675786,
      0.30748922266606754,
      0.30378167586407223,
      0.30011738637076973,
      0.2964958009714099,
      0.2929163754594584,
      0.28937857433566205,
      0.28588187062666975,
      0.282425745480571,
      0.279009788601098,
      0.2756338315233902,
      0.2722976977329903,
      0.2690012483873013,
      0.26574426164439485,
      0.262526430254105,
      0.2593474045854323,
      0.25620687407502,
      0.2531045098995328,
      0.2500399358321468,
      0.24701274489557884,
      0.24402251076518539,
      0.2410687958257659,
      0.2381511566120282,
      0.23526914746815109,
      0.23242232350981357,
      0.2296102419830116,
      0.22683245400464103,
      0.22408845853716117,
      0.2213777520265928,
      0.2186998607965595,
      0.21605433554737893,
      0.21344097085767486,
      0.21085969602275811,
      0.2083103424242403,
      0.20579268394777808,
      0.20330644142055904,
      0.20085129805091007,
      0.1984269127905027,
      0.19603292951145224,
      0.19366898345759812,
      0.19133470566967828,
      0.18902972574478377,
      0.18675367400971402,
      0.1845061828747068,
      0.18228688781848537,
      0.1800954277798832,
      0.17793144573367464,
      0.17579458912232046,
      0.17368450954735715,
      0.17160086323410664,
      0.16954331085869234,
      0.16751151762198332,
      0.16550515329686483,
      0.1635238936925371,
      0.1615674962363699,
      0.15963576044865763,
      0.15772842123656988,
      0.15584516897319675,
      0.1539856948840505,
      0.15214969380865995,
      0.15033686437497004,
      0.1485469089419973,
      0.1467795337697679,
      0.14503444896480067,
      0.14331136850048198,
      0.1416100101470858,
      0.13993009544490756,
      0.1382713495676338,
      0.1366335014004775,
      0.13501628341319968,
      0.13341943171568788,
      0.13184268587692502,
      0.1302857889263633,
      0.12874848739148062,
      0.12723053114283056,
      0.12573167337062113,
      0.12425167041881774,
      0.12279028197325036,
      0.12134727085933551,
      0.11992240302825244,
      0.1185154475530609,
      0.11712617650165418,
      0.11575436498461059,
      0.11439979106706927,
      0.11306223576644056,
      0.11174148290748448,
      0.11043731913916181,
      0.10914953385924175,
      0.10787791930083586,
      0.10662227046941797,
      0.10538238482838788,
      0.10415806266749902,
      0.10294910685714678,
      0.1017553227390298,
      0.10057651827327642,
      0.09941250385085708,
      0.09826309226124626,
      0.09712809885862844,
      0.09600734140022471,
      0.09490063988661612,
      0.0938078166960932,
      0.0927286965555768,
      0.09166310634183986,
      0.09061087515085049,
      0.08957183430522134,
      0.08854581741400915,
      0.08753266010339837,
      0.08653220008552964,
      0.08554427730456228,
      0.08456873371571613,
      0.08360541323648879,
      0.08265416186748056,
      0.08171482751538733,
      0.08078726008022614,
      0.07987128933574518,
      0.07896670252703653,
      0.07807330143191055,
      0.07719090802923385,
      0.07631935890460745,
      0.07545850121646477,
      0.07460819006130294,
      0.07376828648929484,
      0.0729386561215916,
      0.07211916824327015,
      0.07130969533928111,
      0.07051011227040689,
      0.06972029617396311,
      0.0689401262360582,
      0.06816948345264182,
      0.0674082383840542,
      0.06665622115102458,
      0.06591326959930104,
      0.06517923906035375,
      0.06445399753015983,
      0.06373742217289792,
      0.06302939704323322,
      0.06232981134065342,
      0.06163855805273089,
      0.060955533446434715,
      0.06028063641581269,
      0.05961376770303713,
      0.05895483005875974,
      0.058303727843441705,
      0.057660366949941894,
      0.057024654512610316,
      0.05639649900883064,
      0.05577581006033588,
      0.05516249850939736,
      0.054556476273614964,
      0.05395765637667652,
      0.053365952983186395,
      0.05278128123121359,
      0.052203557275140124,
      0.05163269828465649,
      0.05106861942464267,
      0.0505112090463899,
      0.049960348495412976,
      0.04941593259396787,
      0.04887786593862959,
      0.0483460601916014,
      0.04782043224569278,
      0.047300903169556166,
      0.04678739714377871,
      0.04627984063479406,
      0.04577816204545217,
      0.045282291375711235,
      0.044792160551309065,
      0.04430770544890387,
      0.043828863172049315,
      0.043355570486644984,
      0.04288776447513068,
      0.042425382443860044,
      0.04196836218796799,
      0.04151664186650393,
      0.041070160327586334,
      0.04062885694005707,
      0.040192671780224634,
      0.03976154549988592,
      0.039335419441645016,
      0.03891423553411531,
      0.03849793648201508,
      0.03808646558099503,
      0.03767976674113061,
      0.037277784589310935,
      0.03688046434859619,
      0.036487751885108305,
      0.03609959371621552,
      0.035715936890752156,
      0.035336729116268194,
      0.03496191881240707,
      0.03459145490614683,
      0.03422528697593108,
      0.03386336510232015,
      0.03350563998476758,
      0.03315206293964301,
      0.032802585862782035,
      0.03245716116226946,
      0.03211574176646133,
      0.031778281149883014,
      0.03144473338989955,
      0.031115053079295872,
      0.03078919536517288,
      0.03046711580837954,
      0.030148770648794076,
      0.029834116452718173,
      0.029523110448819223,
      0.029215710300253512,
      0.02891187408542774,
      0.028611560512532552,
      0.028314728652835092,
      0.028021338143304,
      0.027731349123926944,
      0.027444722088188156,
      0.027161418001877446,
      0.026881398293454706,
      0.026604624852534616,
      0.026331060090686507,
      0.026060666803797428,
      0.025793408147199316,
      0.025529247784039186,
      0.025268149797144347,
      0.02501007862785827,
      0.024754999178507542,
      0.02450287676074589,
      0.02425367707748143,
      0.024007366279446836,
      0.02376391068604664,
      0.02352327726431678,
      0.02328543326734456,
      0.02305034629026812,
      0.022817984464763106,
      0.022588316136895666,
      0.02236131015028269,
      0.022136935679376843,
      0.02191516205780729,
      0.02169595917994969,
      0.021479297242870204,
      0.02126514673142032,
      0.02105347853146107,
      0.020844263885787848,
      0.020637474306851353,
      0.020433081694122675,
      0.02023105828758665,
      0.020031376584337915,
      0.019834009396096374,
      0.019638929908106013,
      0.01944611159948298,
      0.019255528260044102,
      0.019067153976610775,
      0.018880963101367058,
      0.01869693036135574,
      0.01851503070830241,
      0.018335239506833193,
      0.018157532240616815,
      0.017981884702489553,
      0.01780827305223777,
      0.017636673665673896,
      0.01746706318856256,
      0.017299418597542443,
      0.01713371709718978,
      0.016969936125993956,
      0.01680805345240731,
      0.0166480445889649,
      0.016489873064582272,
      0.016333501636931428,
      0.016178898149308407,
      0.01602603430413283,
      0.015874884553187824,
      0.015725425437822647,
      0.015577635013626981,
      0.015431492382802428,
      0.015286977504026144,
      0.015144071209382272,
      0.015002754785532011,
      0.014863009989505932,
      0.014724818926199828,
      0.01458816401643724,
      0.014453028004309032,
      0.014319393825918273,
      0.014187244663177204,
      0.014056563903380991,
      0.013927335150292713,
      0.013799542338059597
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785916145480234,
      10.568771105824668,
      10.342520324212463,
      10.109949242576988,
      9.873528181393542,
      9.635380660272363,
      9.39738465904823,
      9.161145393822704,
      8.928033826121775,
      8.699175085811008,
      8.475435934097636,
      8.25742559968316,
      8.045507815289893,
      7.839821532521354,
      7.640309218245566,
      7.446752706594652,
      7.258808878973541,
      7.076044271275955,
      6.8979677684450555,
      6.724059633119933,
      6.553796436762709,
      6.3866711823251,
      6.222206017181047,
      6.059964459087855,
      5.899566599620611,
      5.74070109061436,
      5.583129790105055,
      5.426682026785885,
      5.271256514047271,
      5.116828844090991,
      4.963443867716306,
      4.811207395660593,
      4.660280859919534,
      4.510887211451229,
      4.363307472504501,
      4.217869988835881,
      4.074938377792302,
      3.934899661398498,
      3.7981614788835985,
      3.6651376631607664,
      3.536217844400091,
      3.41175509030896,
      3.292057998699826,
      3.17738486698136,
      3.0679400380670745,
      2.9638727664552804,
      2.8652833085379057,
      2.772213226778512,
      2.6846499837668953,
      2.602538944953511,
      2.525768411566208,
      2.454170668189124,
      2.3875160989115307,
      2.3255371545542243,
      2.2679394850341725,
      2.2144060668404317,
      2.1645822095144625,
      2.118074351146356,
      2.074482467153477,
      2.0334493460237737,
      1.9946221559248005,
      1.9576734109412042,
      1.9223435280561088,
      1.8884302154154664,
      1.8557731304215381,
      1.8242424460760778,
      1.793728693957609,
      1.7641382280709978,
      1.735395786361494,
      1.7074397962555294,
      1.680216257574192,
      1.6536787560501915,
      1.6277884728327359,
      1.6025122294740004,
      1.5778217740423466,
      1.5536925035097695,
      1.530101860046992,
      1.5070289475004648,
      1.4844542819638245,
      1.4623595997988788,
      1.440727709299782,
      1.4195423735723525,
      1.3987882161447978,
      1.3784506445835922,
      1.3585162626261664,
      1.338972808108594,
      1.3198083851670905,
      1.3010114377031214,
      1.2825707824443768,
      1.2644756271954447,
      1.2467155767057163,
      1.229280768998945,
      1.2121621739360198,
      1.1953508157084036,
      1.1788378832064723,
      1.1626149066303926,
      1.1466737458663339,
      1.131006629236454,
      1.115606792504729,
      1.100468327154373,
      1.0855853133207782,
      1.0709517398009705,
      1.056561599498913,
      1.0424089526007783,
      1.0284883310191109,
      1.0147946365326697,
      1.001322751207531,
      0.988067594396908,
      0.9750241639977066,
      0.9621875634140835,
      0.94955301700558,
      0.9371158795759221,
      0.9248716406112567,
      0.9128159253386309,
      0.9009444938010006,
      0.8892532383739287,
      0.8777381804481902,
      0.8663954668443898,
      0.8552217816090908,
      0.8442146197265494,
      0.8333713452292419,
      0.8226891242712417,
      0.8121650179197141,
      0.8017960441166768,
      0.7915792193690274,
      0.7815115864070658,
      0.7715902323915219,
      0.7618123000382014,
      0.7521749949039296,
      0.7426752458113999,
      0.7333095863128682,
      0.7240749042595644,
      0.7149693562229716,
      0.7059914872642759,
      0.6971395748059782,
      0.6884117320191419,
      0.6798059772174472,
      0.6713202810768525,
      0.6629525986986271,
      0.6547008905908984,
      0.6465631376336173,
      0.6385373500105128,
      0.6306215730522226,
      0.6228138907869666,
      0.6151124278367075,
      0.6075153504942751,
      0.6000208667959007,
      0.592627226265408,
      0.585332719139647,
      0.5781356755185804,
      0.5710344646786109,
      0.5640274937197828,
      0.5571132067244615,
      0.5502900834684771,
      0.5435566384549991,
      0.5369114200233283,
      0.530353009029915,
      0.5238800180997946,
      0.5174910909195295,
      0.5111849005851388,
      0.5049601492988817,
      0.49881556705279667,
      0.4927499111108564,
      0.48676196524998283,
      0.4808505390700449,
      0.4750144668167093,
      0.46925260673737823,
      0.46356384061740996,
      0.4579470731183895,
      0.45240123094764295,
      0.4469252623443676,
      0.44151813635098913,
      0.4361788423807494,
      0.43090638980466744,
      0.4256998070517913,
      0.4205581413174936,
      0.41548045784009785,
      0.41046583978951023,
      0.4055133874735466,
      0.40062221790629243,
      0.39579146461224696,
      0.3910202769825129,
      0.3863078200482751,
      0.38165327385919817,
      0.37705583320615277,
      0.37251470730744035,
      0.368029119383805,
      0.36359820535039944,
      0.3592209160965905,
      0.35489627223625364,
      0.3506233888742252,
      0.3464014503788758,
      0.3422296927354072,
      0.3381073909759424,
      0.33403385044726225,
      0.33000840090703604,
      0.3260303920426031,
      0.32209919044821994,
      0.31821417736443064,
      0.3143747470840108,
      0.3105803057527731,
      0.30683027047289174,
      0.3031240685671274,
      0.29946113716800715,
      0.2958409227877547,
      0.2922628809193817,
      0.2887264758472977,
      0.2852311801450937,
      0.2817764746879836,
      0.2783619911148013,
      0.27498756568357946,
      0.27165304811724983,
      0.26835829353428947,
      0.2651030578610755,
      0.26188701797277786,
      0.25870982610542004,
      0.25557117770961585,
      0.25247072998837705,
      0.24940809697846383,
      0.24638286471240478,
      0.24339460208519884,
      0.240442867937467,
      0.23752721623942383,
      0.23464719958679675,
      0.23180237172212279,
      0.22899228895102208,
      0.2262164954305258,
      0.22347448056830532,
      0.22076574515665576,
      0.21808981857448964,
      0.21544634162707174,
      0.2128352209486565,
      0.21025632436911687,
      0.2077094497986805,
      0.20519433902900702,
      0.2027106879809702,
      0.20025816247806613,
      0.19783640949334116,
      0.19544506466400474,
      0.19308375754002,
      0.19075211505767903,
      0.1884497640789124,
      0.1861763330186897,
      0.18393145297415447,
      0.18171475844950694,
      0.17952588783192794,
      0.17736448364624816,
      0.17523019285670238,
      0.1731226669758416,
      0.17104156192974965,
      0.16898653827777757,
      0.16695726117066081,
      0.16495340015490767,
      0.16297470365148184,
      0.1610209691542775,
      0.15909195853970437,
      0.15718739241134835,
      0.15530694505955017,
      0.15345029184405393,
      0.1516171167764471,
      0.1498071109534733,
      0.14801997156082397,
      0.14625540138003393,
      0.14451310809650555,
      0.1427928040365019,
      0.14109420584855073,
      0.1394170342489048,
      0.13776101397691257,
      0.13612587356535252,
      0.13451134530696426,
      0.1329171652328021,
      0.13134307277756632,
      0.1297888110026514,
      0.1282541264234329,
      0.12673876896843017,
      0.12524249182195923,
      0.12376505142976758,
      0.12230620752782112,
      0.12086572298451666,
      0.11944336378026107,
      0.11803889913068136,
      0.11665210118780693,
      0.11528274506911644,
      0.11393060900419742,
      0.11259547393841932,
      0.11127712383284317,
      0.10997534538207256,
      0.10868992814902562,
      0.1074206644479319,
      0.10616734923703114,
      0.10492978020452842,
      0.103707757577539,
      0.10250108428965703,
      0.10130956583337146,
      0.10013301022930869,
      0.09897122795969322,
      0.09782403201230533,
      0.09669123772936564,
      0.09557266283623353,
      0.09446812750424041,
      0.09337745415463403,
      0.0923004675503773,
      0.09123699466716319,
      0.09018686473133833,
      0.08914990919581242,
      0.08812596169824627,
      0.08711485804002302,
      0.08611643604564216,
      0.08513053566447261,
      0.08415699886094734,
      0.0831956696197849,
      0.08224639407653679,
      0.08130902028043267,
      0.08038339811991638,
      0.07946936583357403,
      0.07856671397590984,
      0.07767524091408264,
      0.07679476625558507,
      0.07592512496721028,
      0.07506616310912198,
      0.07421773501425694,
      0.07337970129793542,
      0.07255192727276442,
      0.07173428211355441,
      0.07092663815738054,
      0.07012887013926915,
      0.06934085521962213,
      0.06856247254011576,
      0.0677936031467025,
      0.06703412727154515,
      0.06628388906493189,
      0.06554271922761831,
      0.06481046808281458,
      0.06408700021421082,
      0.06337219044421145,
      0.06266592115578058,
      0.061968080317638445,
      0.061278560281746296,
      0.060597256868016036,
      0.059924068465309684,
      0.05925889577237752,
      0.058601641375509224,
      0.057952209571996774,
      0.05731050623215451,
      0.05667643846354986,
      0.056049914725034865,
      0.05543084475223701,
      0.05481913943043611,
      0.0542147107290416,
      0.053617471726122384,
      0.05302733663066791,
      0.05244422071392052,
      0.051868040276322726,
      0.05129871249441217,
      0.05073615567197467,
      0.05018028154432188,
      0.04963097352252134,
      0.04908811789611862,
      0.04855161329836688,
      0.04802136721383489,
      0.047497293707222964,
      0.04697931172148518,
      0.046467343862388044,
      0.04596131559499088,
      0.04546115467704306,
      0.04496679064874328,
      0.04447815522627586,
      0.04399518400174927,
      0.043517813899218744,
      0.04304598177495653,
      0.04257962459150939,
      0.042118679719356164,
      0.04166308494380966,
      0.04121277857274833,
      0.04076769942501974,
      0.040327786973695226,
      0.03989298140274688,
      0.03946322337363937,
      0.03903845437294215,
      0.03861861640775366,
      0.03820365212606425,
      0.03779350490797031,
      0.03738811881001484,
      0.03698743852824114,
      0.03659140941450063,
      0.03619997747619997,
      0.03581308921639041,
      0.03543069179386879,
      0.03505273296627973,
      0.03467916116595645,
      0.03430992540026321,
      0.0339449753450752,
      0.03358426120210489,
      0.033227733685797435,
      0.0328753441423258,
      0.032527044515206195,
      0.03218278737704755,
      0.031842525744127645,
      0.03150621320757113,
      0.031173803879302416,
      0.030845252450908467,
      0.030520514013407482,
      0.030199544247328593,
      0.029882299465709777,
      0.029568736366895623,
      0.02925881217365174,
      0.028952484647091745,
      0.028649711943619715,
      0.028350452826691915,
      0.02805466649897792,
      0.02776231266214396,
      0.02747335144513793,
      0.02718774340388813,
      0.026905449605499548,
      0.026626431545828586,
      0.02635065124362406,
      0.026078071066433867,
      0.025808653872695674,
      0.025542362933179262,
      0.025279161920541932,
      0.025019014986809612,
      0.024761886648192722,
      0.02450774190710617,
      0.024256546041837714,
      0.024008264864994012,
      0.023762864602323144,
      0.023520311817749006,
      0.023280573326735016,
      0.023043616546745072,
      0.022809409076797835,
      0.022577919028726315,
      0.022349114908401236,
      0.022122965549659094,
      0.021899440176765643,
      0.02167850827724287,
      0.021460139730629723,
      0.021244304836653623,
      0.021030974122447466,
      0.02082011851970598,
      0.020611709358854906,
      0.020405718186659937,
      0.020202116985685612,
      0.020000878026122226,
      0.019801973871606853,
      0.019605377411755002,
      0.019411061832078122,
      0.019219000680624477,
      0.019029167777073478,
      0.01884153728821991,
      0.018656083677459637,
      0.01847278169382113,
      0.018291606298333714,
      0.018112532814174014,
      0.017935536823124227,
      0.017760594273696403,
      0.017587681342233576,
      0.01741677448572785,
      0.017247850394129897,
      0.017080886064216205,
      0.016915858792209304,
      0.016752746040003874,
      0.016591525626848833,
      0.016432175578638228,
      0.016274674194501,
      0.01611900004428713,
      0.015965130504871358,
      0.015813031850470317,
      0.01566266745898267,
      0.015514005949678692,
      0.015367019717312492,
      0.01522168390179095,
      0.015077975724607076,
      0.01493587387162526,
      0.014795358161468685,
      0.014656409300919195,
      0.014519008694865583,
      0.014383138290658529,
      0.014248780481904874,
      0.014115918052036047,
      0.013984534062365417,
      0.013854611760096105,
      0.013726134728970565,
      0.013599086824784288
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785910838269947,
      10.568746716101542,
      10.342466352618827,
      10.10985926865366,
      9.873398838207672,
      9.6352102152246,
      9.397172846607003,
      9.160892967243104,
      8.927742122372786,
      8.69884584279528,
      8.475071094134332,
      8.257027068694375,
      8.045077281247854,
      7.839360329745222,
      7.639818250263345,
      7.446232571645978,
      7.258259890603992,
      7.0754665038506355,
      6.897361116484047,
      6.723423883141134,
      6.553131341164055,
      6.385976575351634,
      6.22148165635939,
      6.059210178346714,
      5.898782517219178,
      5.739887803173939,
      5.582288363845712,
      5.425814037410561,
      5.270364014400418,
      5.115914342419261,
      4.962510572969655,
      4.810259017228072,
      4.659321429118397,
      4.509921132255361,
      4.362339457728425,
      4.216904977725759,
      4.073981439142559,
      3.933955956710339,
      3.797236532225191,
      3.664236889323413,
      3.5353462057856953,
      3.410917014925238,
      3.2912573165918477,
      3.176624767069775,
      3.067223045151659,
      2.9632007349812257,
      2.864657449152463,
      2.7716338561708977,
      2.6841167179411225,
      2.602050483139571,
      2.525322642047748,
      2.453764382365981,
      2.3871451878533985,
      2.325197130826158,
      2.2676258363515887,
      2.214114086410587,
      2.1643070078085436,
      2.117810772547604,
      2.074225882285487,
      2.033195630010608,
      1.9943674588961111,
      1.9574146684877587,
      1.9220784897268837,
      1.888157254297766,
      1.8554910768577773,
      1.823950490163133,
      1.793426215934457,
      1.7638248122247353,
      1.73507120837183,
      1.7071039930273777,
      1.6798692996543456,
      1.6533207670283168,
      1.6274196123220623,
      1.6021326812652281,
      1.577431567023009,
      1.553291653023481,
      1.5296904446284374,
      1.5066070887869638,
      1.4840221303890708,
      1.4619173244999668,
      1.440275490612367,
      1.4190803979602358,
      1.3983166730015943,
      1.377969723376169,
      1.3580261732146053,
      1.3384737612828475,
      1.3193005813037089,
      1.3004950681548089,
      1.2820460308897736,
      1.2639426700800773,
      1.2461745841933083,
      1.2287319492098139,
      1.2116057908832196,
      1.1947871743232263,
      1.1782672361230428,
      1.1620374691748103,
      1.1460897061560744,
      1.130416171710206,
      1.1150101182392433,
      1.0998656234205928,
      1.0849767455925554,
      1.070337457292729,
      1.0559417387178314,
      1.0417837385570101,
      1.0278581348973892,
      1.0141597477573894,
      1.0006833969885363,
      0.9874239586070016,
      0.9743764004911046,
      0.9615358040593189,
      0.948897378260545,
      0.9364564671062615,
      0.9242085522142108,
      0.9121492529397653,
      0.9002743250863269,
      0.8885796575006114,
      0.8770612685974081,
      0.8657153028207595,
      0.8545386248321967,
      0.8435287480118937,
      0.832682968994274,
      0.8219984075546242,
      0.8114720924223314,
      0.801101018889246,
      0.7908821877971894,
      0.7808126308146339,
      0.7708894271369807,
      0.7611097141301577,
      0.7514706930466176,
      0.7419692998153227,
      0.7326020669827725,
      0.7233660246720709,
      0.714259537490625,
      0.7052810295736568,
      0.6964286962048081,
      0.6877005936048938,
      0.6790947008087389,
      0.6706089610432681,
      0.6622413102959966,
      0.6539896961233873,
      0.6458520899763234,
      0.6378264955122931,
      0.6299109534709791,
      0.6221035447466489,
      0.6144023914795853,
      0.6068056581951171,
      0.5993115517118941,
      0.5919183204940471,
      0.5846242539180379,
      0.5774276816682863,
      0.5703269722543652,
      0.5633205323115766,
      0.5564068051923794,
      0.5495842702544115,
      0.5428514417351233,
      0.5362068675739231,
      0.529649128417702,
      0.523176836458976,
      0.5167886346966811,
      0.5104831959131786,
      0.5042592219828257,
      0.4981154426009384,
      0.4920506146578146,
      0.48606352165234135,
      0.48015297253826567,
      0.47431780102393767,
      0.46855686520172923,
      0.4628690464177776,
      0.45725324878289036,
      0.4517083987429317,
      0.4462334441783323,
      0.4408273538227334,
      0.43548911695302445,
      0.4302177421577654,
      0.4250122574994682,
      0.41987170983638145,
      0.41479516411980477,
      0.4097817029980741,
      0.4048304265522616,
      0.3999404514530355,
      0.39511091076044824,
      0.3903409533767189,
      0.3856297440693024,
      0.38097646251480766,
      0.3763803031186963,
      0.37184047472287285,
      0.36735620020166815,
      0.3629265705499579,
      0.3585505312147209,
      0.35422711853948596,
      0.34995545846458287,
      0.34573474291433237,
      0.3415642127344026,
      0.33744314640945855,
      0.33337085177342973,
      0.3293466600617985,
      0.3253699219679888,
      0.32144000454529087,
      0.3175562892772561,
      0.313718170558262,
      0.3099250544929331,
      0.30617635808637855,
      0.302471508493366,
      0.2988099425414804,
      0.29519110647609853,
      0.2916144555078272,
      0.28807945359489434,
      0.28458557296359105,
      0.2811322940920183,
      0.27771929046698013,
      0.2743464099236524,
      0.27101352467201445,
      0.267720477149127,
      0.26446700185876987,
      0.2612527609047167,
      0.25807741737647394,
      0.2549406618710892,
      0.25184213872777184,
      0.24878145294924112,
      0.24575818432354635,
      0.2427718971207492,
      0.2398221470299688,
      0.236908485706709,
      0.23403046409351808,
      0.23118763451350216,
      0.22837955239822955,
      0.2256057513951252,
      0.22286571640904754,
      0.2201589522751481,
      0.21748500109742486,
      0.21484365831643906,
      0.21223483861447953,
      0.20965836455385883,
      0.2071140003261303,
      0.2046014567978676,
      0.20212040848425433,
      0.1996705064659399,
      0.19725138754338642,
      0.19486268027376494,
      0.19250400919930846,
      0.19017499794474016,
      0.18787527108106272,
      0.18560445541260018,
      0.18336218080637595,
      0.18114808091132237,
      0.17896179349003866,
      0.17680296065729312,
      0.17467122906523128,
      0.17256625004798626,
      0.17048767949832028,
      0.16843517788270648,
      0.16640841013470412,
      0.16440711353702647,
      0.16243108161553066,
      0.16048007525594138,
      0.15855383018055863,
      0.1566520584007772,
      0.15477442728266633,
      0.1529205993946434,
      0.1510902499319066,
      0.14928306398856822,
      0.14749873464721186,
      0.1457369618585247,
      0.14399745138178438,
      0.14227991423390254,
      0.1405840662380175,
      0.13890962749165758,
      0.1372563223764113,
      0.13562387926915725,
      0.13401203026593353,
      0.13242051116509693,
      0.13084906151314413,
      0.1292974244460401,
      0.1277653464081545,
      0.12625257723795028,
      0.1247588702134317,
      0.12328398199413386,
      0.12182767232595373,
      0.12038970413107307,
      0.11896984348748968,
      0.1175678596247383,
      0.11618352477761824,
      0.1148166141388873,
      0.1134669059168712,
      0.11213418126314001,
      0.11081822410203152,
      0.10951882130641286,
      0.10823576243155023,
      0.10696883988465818,
      0.10571784876633829,
      0.10448258679158658,
      0.10326285436595914,
      0.10205845444150773,
      0.10086919251559673,
      0.09969487665704659,
      0.09853531752248976,
      0.09739032816512655,
      0.09625972398544841,
      0.09514332283662467,
      0.09404094483281521,
      0.09295241263626952,
      0.09187755103459752,
      0.09081618709168367,
      0.08976815012849214,
      0.08873327167362588,
      0.08771138537096251,
      0.08670232703470249,
      0.08570593466124729,
      0.08472204828342314,
      0.08375050996267427,
      0.08279116372775859,
      0.08184385577521201,
      0.08090843418785018,
      0.07998474901296906,
      0.07907264397748215,
      0.07817191753388261,
      0.0772823640780297,
      0.07640380058014956,
      0.07553606020516568,
      0.07467898771848229,
      0.07383243656802876,
      0.07299626683928857,
      0.07217034340430588,
      0.0713545352150066,
      0.07054871442095637,
      0.06975275586856867,
      0.06896653663222681,
      0.0681899358531796,
      0.06742283461149931,
      0.06666511562395627,
      0.06591664087246427,
      0.06517724099581322,
      0.0644467602502581,
      0.06372505901682121,
      0.06301200911102017,
      0.062307490774881305,
      0.06161139070974507,
      0.06092360033118405,
      0.06024401465916856,
      0.05957253169275782,
      0.058909051878810056,
      0.05825347766976297,
      0.05760571321292201,
      0.056965664259312224,
      0.05633323798668219,
      0.05570834291654594,
      0.05509088887475642,
      0.05448078672159267,
      0.05387794845474251,
      0.053282287322902695,
      0.052693717578303684,
      0.05211215450677161,
      0.05153751439788805,
      0.05096971458582816,
      0.050408673456032844,
      0.04985431035397297,
      0.04930653174054987,
      0.04876521995064318,
      0.04823026563183436,
      0.04770157077394015,
      0.047179045449186253,
      0.046662605878812054,
      0.04615217275522019,
      0.045647670186071396,
      0.04514902502683961,
      0.04465616624310009,
      0.04416902494248775,
      0.04368753631372644,
      0.04321163715763035,
      0.04274126430223282,
      0.042276354843594294,
      0.0418168460915915,
      0.04136267580895539,
      0.04091378237282471,
      0.04047010462038391,
      0.04003158212562933,
      0.03959815510056871,
      0.039169764333822486,
      0.03874635130954173,
      0.0383278581796028,
      0.03791422768414972,
      0.03750540323357716,
      0.03710132896104758,
      0.03670194968591632,
      0.036307210790549625,
      0.03591705827433499,
      0.03553143874623686,
      0.03515029941674114,
      0.034773588263855904,
      0.03440125370903411,
      0.034033244873702094,
      0.03366951143776774,
      0.033310003643286165,
      0.03295467243413247,
      0.03260346916875222,
      0.032256345932731814,
      0.03191325525903859,
      0.03157415021619244,
      0.031238984476075315,
      0.030907712212146162,
      0.03058028812069276,
      0.030256667510837457,
      0.02993680614253389,
      0.02962066028559983,
      0.029308186777719975,
      0.028999342912826916,
      0.028694086493545712,
      0.02839237587279161,
      0.028094169794021934,
      0.02779942747781339,
      0.027508108649994832,
      0.027220173587553284,
      0.026935582950433242,
      0.026654297850234498,
      0.026376279847413003,
      0.026101490963002478,
      0.025829893657170824,
      0.025561450857169953,
      0.02529612590768363,
      0.025033882563922878,
      0.02477468500559133,
      0.024518497871552077,
      0.02426528616278626,
      0.024015015305451703,
      0.023767651161992517,
      0.023523159919623594,
      0.0232815081136877,
      0.023042662757392966,
      0.022806591339830238,
      0.022573261539507717,
      0.022342641555826662,
      0.022114699901624325,
      0.02188940542626382,
      0.02166672739071224,
      0.02144663545518582,
      0.021229099553997,
      0.02101408994299632,
      0.020801577337574297,
      0.020591532632356947,
      0.020383927257973968,
      0.020178732859100032,
      0.019975921361409663,
      0.019775465039747513,
      0.019577336581074856,
      0.019381509022033755,
      0.01918795552850645,
      0.018996649736045625,
      0.018807565512648918,
      0.018620677085652675,
      0.018435958851183255,
      0.01825338566849303,
      0.018072932570365977,
      0.017894574996047654,
      0.017718288663207897,
      0.017544049415403266,
      0.017371833521735127,
      0.017201617532949482,
      0.01703337823402504,
      0.01686709256574664,
      0.016702737795123185,
      0.01654029151537972,
      0.01637973159616669,
      0.016221036096814478,
      0.016064183345572892,
      0.015909152000998326,
      0.015755920942800733,
      0.015604469246209923,
      0.01545477619532246,
      0.015306821360977274,
      0.015160575954146122,
      0.015016003957723354,
      0.014873073861595299,
      0.014731758220174127,
      0.014592032488697105,
      0.01445387420202363,
      0.014317262524078018,
      0.014182177727122006,
      0.014048601165454663,
      0.01391651472509186,
      0.013785900937288213,
      0.013656742769964182,
      0.013529023662875764,
      0.01340272728434521
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785905544080494,
      10.568722387090721,
      10.34241252217779,
      10.109769547108218,
      9.873269883320503,
      9.635040314199399,
      9.396961749749837,
      9.160641439908673,
      8.92745151152743,
      8.698517892662284,
      8.474707750314087,
      8.256630240169915,
      8.04464865603895,
      7.838901242585774,
      7.639329604556702,
      7.445714966209186,
      7.2577136407906595,
      7.074891686262552,
      6.896757628771687,
      6.722791513299706,
      6.552469844255846,
      6.385285789747906,
      6.22076134441644,
      6.058460179952133,
      5.898002955774801,
      5.739079277652502,
      5.581451940814416,
      5.424951292323817,
      5.269476998553068,
      5.1150055605433,
      4.961583230117911,
      4.809316816511813,
      4.6583683927266915,
      4.508961650520882,
      4.361378225838632,
      4.215946914477311,
      4.073031590854062,
      3.9330194884835934,
      3.796318963682586,
      3.6633435960698035,
      3.5344821107484834,
      3.4100865083676695,
      3.2904641924710507,
      3.175872180012427,
      3.066513487772568,
      2.9625360332334245,
      2.8640387887626395,
      2.7710615320138685,
      2.683590327978286,
      2.601568713413858,
      2.524883371779885,
      2.453364396654259,
      2.3867803752207224,
      2.3248630065276448,
      2.26731789437097,
      2.213827628768961,
      2.1640371560296083,
      2.117552384370378,
      2.0739743433277713,
      2.0329467914865638,
      1.994117458530948,
      1.9571604780045497,
      1.9218178867115803,
      1.8878886338932268,
      1.8552132867520472,
      1.8236627344524055,
      1.7931278870901635,
      1.763515504374922,
      1.7347507041552963,
      1.7067722346716987,
      1.6795263625407866,
      1.6529667783110522,
      1.6270547348080864,
      1.601757101604822,
      1.577045316412592,
      1.5528947481966446,
      1.5292829657494118,
      1.506189159351675,
      1.4835939019937112,
      1.461478967145932,
      1.4398271859558587,
      1.4186223339289514,
      1.3978490399279446,
      1.3774927114900064,
      1.3575399933637011,
      1.3379786249547465,
      1.3187966891751028,
      1.299982611831106,
      1.2815251941477928,
      1.2634136304224735,
      1.2456375127270911,
      1.2281870624108824,
      1.211053311668488,
      1.1942273855292032,
      1.1777004087211678,
      1.1614638312924856,
      1.1455094545611042,
      1.1298294977894405,
      1.1144172281692806,
      1.099266706913807,
      1.0843719699920786,
      1.0697269734657309,
      1.0553256853199342,
      1.0411624171277711,
      1.0272318970604501,
      1.0135288641509073,
      1.0000480825124884,
      0.9867843886812725,
      0.9737327223707982,
      0.9608881458187272,
      0.948245854086089,
      0.9358011808393759,
      0.9235496000648995,
      0.9114867258842616,
      0.8996083097312938,
      0.8879102373992892,
      0.8763885247981619,
      0.8650393346051488,
      0.8538597021914625,
      0.8428471384078859,
      0.8319988759594277,
      0.8213119903189721,
      0.8107834794820675,
      0.800410317175905,
      0.790189489095348,
      0.7801180163075419,
      0.7701929707016288,
      0.7604114839312615,
      0.750770753366746,
      0.7412677228686687,
      0.7318989240390229,
      0.7226616524063331,
      0.7135543157585795,
      0.7045752315055218,
      0.6957225209300989,
      0.6869941893508253,
      0.6783881803441798,
      0.6699024126408195,
      0.6615348050298167,
      0.6532832930501292,
      0.6451458398236845,
      0.6371204432684447,
      0.6292051400081369,
      0.6213980078660473,
      0.6136971670425486,
      0.6061007806310494,
      0.598607054107986,
      0.5912142348786613,
      0.583920611559607,
      0.5767245132384797,
      0.5696243078309275,
      0.562618401347782,
      0.5557052368598993,
      0.5488832933479857,
      0.5421510844933806,
      0.5355071577987555,
      0.5289500934337744,
      0.5224785032191381,
      0.5160910297027721,
      0.5097863454359827,
      0.503563151868748,
      0.4974201782509134,
      0.49135618115268787,
      0.4853699436176281,
      0.47946027428302396,
      0.4736260065209725,
      0.46786599796104555,
      0.46217912963384433,
      0.4565643052218063,
      0.4510204508279912,
      0.44554651373945775,
      0.44014146234885826,
      0.4348042854065706,
      0.42953399131784054,
      0.4243296077665778,
      0.41919018113394885,
      0.41411477599372226,
      0.40910247471159494,
      0.4041523768456173,
      0.3992635988323179,
      0.3944352733241722,
      0.3896665489431797,
      0.38495658994364157,
      0.38030457565799863,
      0.37570970015993577,
      0.3711711718910607,
      0.3666882134565506,
      0.36225987128747855,
      0.3578850854145801,
      0.3535629078360091,
      0.34929247522831935,
      0.3450729868448991,
      0.340903688800798,
      0.33678386302309354,
      0.3327128194294276,
      0.3286898906981039,
      0.32471442847992366,
      0.3207858003782171,
      0.31690338805679885,
      0.31306658606307475,
      0.3092748003967765,
      0.3055274477997277,
      0.3018239552695366,
      0.2981637594526457,
      0.29454630628515394,
      0.29097105066497253,
      0.287437456230735,
      0.2839449949559453,
      0.28049314845249274,
      0.2770816308575428,
      0.2737103143852268,
      0.27037908747579265,
      0.2670877653041816,
      0.26383606346245136,
      0.2606236325361796,
      0.25745014653497983,
      0.25431529023034777,
      0.2512186960733801,
      0.24815996059379017,
      0.24513865767431564,
      0.24215434728217658,
      0.23920658209610185,
      0.23629491158295515,
      0.23341888513039313,
      0.2305780538788652,
      0.22777197227826487,
      0.22500016170307743,
      0.22226210527730594,
      0.21955731142083243,
      0.2168854185681636,
      0.21424632503120053,
      0.21163988720917123,
      0.20906589422607844,
      0.2065240773923626,
      0.20401412343685124,
      0.20153568994732263,
      0.19908841645388664,
      0.1966719316931237,
      0.1942858587612614,
      0.1919298183282462,
      0.18960343127383233,
      0.18730632026024183,
      0.18503811081993046,
      0.18279843203935447,
      0.18058691686687803,
      0.17840320259385825,
      0.1762469310777145,
      0.1741177487595762,
      0.1720153067694045,
      0.16993926083890296,
      0.16788927129002512,
      0.16586506285774846,
      0.16386642493322007,
      0.16189311800348521,
      0.15994487605707564,
      0.15802141639466025,
      0.15612244479180074,
      0.15424762935189143,
      0.1523966219324599,
      0.15056909032828547,
      0.14876471452014708,
      0.14698318426713963,
      0.14522419704394368,
      0.14348745700321996,
      0.141772674061474,
      0.1400795632838391,
      0.13840784434263945,
      0.13675724127026828,
      0.1351274822130938,
      0.13351829918569258,
      0.13192942803421326,
      0.13036060832289703,
      0.12881158301593043,
      0.12728209864062123,
      0.12577190518211093,
      0.12428075593813724,
      0.12280840744158966,
      0.12135461959714464,
      0.11991915542769722,
      0.11850178107307849,
      0.11710226580487584,
      0.11572038194372362,
      0.1143559047351355,
      0.11300861251546537,
      0.11167828648090596,
      0.11036471064374298,
      0.10906767187478067,
      0.10778695987230583,
      0.10652236703913529,
      0.10527368856572597,
      0.10404072225559868,
      0.10282326862085642,
      0.1016211306618935,
      0.10043411406331249,
      0.09926202697904148,
      0.09810468001672273,
      0.09696188624974743,
      0.09583346121881416,
      0.09471922282119184,
      0.09361899143086201,
      0.09253258963923212,
      0.0914598423092414,
      0.09040057659263508,
      0.08935462184095339,
      0.08832180972789128,
      0.08730197402370972,
      0.08629495059331628,
      0.08530057756091688,
      0.08431869497373128,
      0.08334914496910856,
      0.08239177178957421,
      0.08144642157697399,
      0.08051294253588773,
      0.07959118472896731,
      0.07868099757169365,
      0.07778218781942312,
      0.07689454568046203,
      0.07601788530820429,
      0.07515203784891303,
      0.07429684685550211,
      0.0734521649766689,
      0.07261785158435966,
      0.07179377128574636,
      0.0709797927285803,
      0.07017578792469772,
      0.06938163160512467,
      0.06859720080192837,
      0.06782237466120322,
      0.0670570343151472,
      0.06630106258287258,
      0.0655543363287607,
      0.06481669458001957,
      0.06408797460858388,
      0.06336803175205806,
      0.06265673454036491,
      0.06195396090499335,
      0.06125959579273177,
      0.06057352945468106,
      0.05989565630342763,
      0.059225873855841875,
      0.058564082165076525,
      0.05791018343371601,
      0.0572640817499987,
      0.056625682792873104,
      0.05599489368289111,
      0.05537162297259272,
      0.054755780463774606,
      0.054147277144269035,
      0.053546025103690956,
      0.05295193755513051,
      0.05236492875286305,
      0.05178491413690442,
      0.05121181008748837,
      0.05064553400747902,
      0.05008600439617447,
      0.049533140679048744,
      0.04898686318718706,
      0.048447072643935364,
      0.04791365212600099,
      0.04738649619472065,
      0.04686550980162403,
      0.04635060546938335,
      0.045841701437714696,
      0.04533872007936842,
      0.04484158693645907,
      0.04435023006811847,
      0.04386457992297572,
      0.04338457128828124,
      0.04291014083519741,
      0.04244122525050791,
      0.041977761467171366,
      0.041519686787567525,
      0.04106693906849813,
      0.04061945660635602,
      0.04017717837038165,
      0.03974004396194337,
      0.03930799361125428,
      0.03888096815413204,
      0.038458909132051224,
      0.03804175871682245,
      0.037629459802831645,
      0.03722195594668641,
      0.036819191280294226,
      0.03642111073504022,
      0.03602765975674099,
      0.03563878439168717,
      0.035254431314532715,
      0.03487454799847889,
      0.03449908241474598,
      0.03412798305510611,
      0.03376119899163146,
      0.03339868007193495,
      0.03304037659929027,
      0.03268623950093617,
      0.0323362202920877,
      0.03199027108377759,
      0.03164834451003585,
      0.03131039367956042,
      0.03097637235807836,
      0.030646234879804918,
      0.030319936048491453,
      0.0299974311037471,
      0.029678675895697493,
      0.029363626798342223,
      0.029052240678842028,
      0.028744474948095046,
      0.028440287426053174,
      0.02813963657101786,
      0.027842481228032127,
      0.027548780671432436,
      0.02725849467760137,
      0.02697158352020537,
      0.026688007932343855,
      0.02640772917240546,
      0.02613070878961331,
      0.025856908934730388,
      0.025586292148307897,
      0.02531882142382423,
      0.025054460177375802,
      0.024793172171113046,
      0.024534921699070695,
      0.02427967344727849,
      0.024027392460237766,
      0.023778044191933342,
      0.023531594516708394,
      0.02328800977046394,
      0.023047256599800274,
      0.022809302162196378,
      0.022574113844376655,
      0.022341659503863066,
      0.022111907291828242,
      0.021884825789312792,
      0.02166038398588058,
      0.0214385511070675,
      0.02121929686284808,
      0.021002591316220606,
      0.020788404753133483,
      0.02057670790314755,
      0.020367471824716123,
      0.02016066793811074,
      0.019956267945172156,
      0.019754243851919217,
      0.01955456803066748,
      0.019357213143456082,
      0.019162152238459115,
      0.018969358695205055,
      0.01877880608844629,
      0.018590468396264593,
      0.018404319840705497,
      0.018220334907661725,
      0.01803848857119238,
      0.01785875588367373,
      0.017681112266111697,
      0.01750553345625607,
      0.0173319953561563,
      0.017160474344837574,
      0.016990947039312893,
      0.016823390158386492,
      0.016657780838539925,
      0.0164940964168663,
      0.01633231445677548,
      0.016172412952730378,
      0.01601437000199496,
      0.015858163967009713,
      0.015703773530320545,
      0.015551177604675078,
      0.015400355269386844,
      0.015251285904595194,
      0.015103949142145653,
      0.014958324855638309,
      0.014814393106916034,
      0.014672134252542957,
      0.014531526253215087,
      0.014392536514217126,
      0.014255132413160728,
      0.014119285845788412,
      0.013984972034330119,
      0.013852168482597337,
      0.01372085452516685,
      0.013591010788503525,
      0.013462618949657992,
      0.01333566137797964,
      0.013210121142532403
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785900263318775,
      10.568698123368732,
      10.342358847424391,
      10.1096801036421,
      9.873141354447238,
      9.634871008534061,
      9.396751434154428,
      9.160390892137993,
      8.927162086338436,
      8.698191339037276,
      8.474346016886852,
      8.25623523601072,
      8.044222070079305,
      7.83844441095619,
      7.6388434320317815,
      7.4452000526292395,
      7.257170302720334,
      7.074320003090535,
      6.896157501901846,
      6.7221627358242095,
      6.551812176701763,
      6.384599074220097,
      6.220045347751274,
      6.057714745372707,
      5.897228210044786,
      5.73827582309994,
      5.580620846996113,
      5.424094136354995,
      5.268595830003644,
      5.114102878892436,
      4.9606622343006475,
      4.808381202915631,
      4.657422175209368,
      4.5080092077457525,
      4.360424237686638,
      4.214996280429293,
      4.072089332866597,
      3.9320907630362556,
      3.795409274946057,
      3.662458281191452,
      3.533626053990754,
      3.4092640613422645,
      3.2896791120864726,
      3.1751275857237236,
      3.065811840364151,
      2.9618791298413685,
      2.863427738039124,
      2.7704965668897703,
      2.6830710387865806,
      2.601093782812123,
      2.5244506644218436,
      2.452970703706708,
      2.386421594572524,
      2.3245346667286046,
      2.2670155046419525,
      2.2135465083573265,
      2.163772445964995,
      2.117298965892838,
      2.0737276241044897,
      2.0327026437158957,
      1.9938720423442766,
      1.956910783703401,
      1.9215617069446573,
      1.887624375742749,
      1.854939807609939,
      1.8233792464761842,
      1.7928337895406308,
      1.7632103971465694,
      1.734434374756868,
      1.706444629892128,
      1.6791875612315004,
      1.652616910598579,
      1.6266939659082709,
      1.601385619796399,
      1.5766631920267893,
      1.5525019882326987,
      1.5288796439978276,
      1.5057753948135648,
      1.483169844201183,
      1.461044785136668,
      1.4393830603451114,
      1.4181684521288804,
      1.397385592120606,
      1.3770198882656126,
      1.3570580051115733,
      1.3374876833028089,
      1.3182969955836608,
      1.2994743584623047,
      1.281008565712976,
      1.2628888044092201,
      1.2451046604424905,
      1.2276464004863223,
      1.2105050582441055,
      1.193671819670549,
      1.1771378046801078,
      1.1608944196926316,
      1.1449334344920459,
      1.1292470619706332,
      1.113828583576151,
      1.0986720446915508,
      1.0837714580741113,
      1.0691207627697088,
      1.0547139679230446,
      1.0405455484308757,
      1.0266101928720894,
      1.0129025713114743,
      0.9994173988006161,
      0.9861494780704626,
      0.9730937245900364,
      0.9602451832834809,
      0.9475990371249631,
      0.9351506109710506,
      0.9228953723982092,
      0.9108289304415561,
      0.8989470327139095,
      0.887245562143223,
      0.8757205324212018,
      0.8643681980343721,
      0.8531857284112779,
      0.8421705578072132,
      0.8313198668672904,
      0.8206306946494414,
      0.8101000135609366,
      0.7997247797056986,
      0.7895019665822405,
      0.7794285863181616,
      0.7695017042806186,
      0.7597184477952219,
      0.7500760108623488,
      0.740571346391677,
      0.731200985494167,
      0.7219625008056714,
      0.712854326246956,
      0.7038746740972357,
      0.6950215929400081,
      0.6862930375183692,
      0.677686916322166,
      0.6692011237986065,
      0.6608335619754063,
      0.652582154985097,
      0.6444448578231006,
      0.6364196625631705,
      0.6285046015817723,
      0.620697749778007,
      0.6129972254048257,
      0.6054011897332925,
      0.5979078469629799,
      0.5905154437063078,
      0.583222267830416,
      0.5760266475553837,
      0.5689269502861676,
      0.5619215816173325,
      0.555008984164458,
      0.5481876364824985,
      0.5414560519517629,
      0.5348127775357935,
      0.5282563930016703,
      0.5217855096684471,
      0.5153987698842781,
      0.5090948456598899,
      0.502872437862973,
      0.49673027544315373,
      0.4906671146925401,
      0.48468173811302206,
      0.4787729538865716,
      0.4729395950105969,
      0.46718051886531325,
      0.46149460614887966,
      0.45588076019943485,
      0.4503379064785702,
      0.44486499206600444,
      0.4394609849661779,
      0.43412487350791384,
      0.42885566561071914,
      0.42365238883576867,
      0.4185140889860713,
      0.41343983020718533,
      0.4084286944541379,
      0.4034797809887662,
      0.39859220580704013,
      0.3937651010988888,
      0.3889976152515072,
      0.38428891212622474,
      0.3796381706274881,
      0.37504458436098725,
      0.3705073615615483,
      0.3660257064720439,
      0.3615986300330821,
      0.35722508534311365,
      0.3529041370250834,
      0.34863493062897943,
      0.34441667134871723,
      0.3402486093434371,
      0.3361300292726789,
      0.3320602429151669,
      0.32803858409597025,
      0.3240644050530168,
      0.32013707381176465,
      0.3162559721905084,
      0.3124204945968227,
      0.30863004693712837,
      0.3048840459042225,
      0.30118191810716566,
      0.2975231000210764,
      0.29390703728173556,
      0.290333184507569,
      0.28680100507578393,
      0.283309970790261,
      0.27985958420150836,
      0.27644959033998395,
      0.2730798756845811,
      0.26975033412774424,
      0.2664607568183977,
      0.263210842725351,
      0.2600002395543375,
      0.2568286301047745,
      0.2536956867803,
      0.25060103160760466,
      0.2475442538252016,
      0.2445249219839807,
      0.241542592517437,
      0.238596815412392,
      0.2356871381723118,
      0.23281310872489028,
      0.2299742772982544,
      0.2271701975781861,
      0.2244003787430977,
      0.22166430209761434,
      0.21896149526028297,
      0.2162917478303221,
      0.21365496113031687,
      0.2110509490441943,
      0.2084794664488546,
      0.2059402146918294,
      0.20343285983364906,
      0.2009570453367893,
      0.19851240082952057,
      0.1960985481866097,
      0.1937151056372771,
      0.19136169073067708,
      0.18903792211947196,
      0.18674342083041148,
      0.1844778112047968,
      0.18224072147499829,
      0.18003178406819617,
      0.1778506360080007,
      0.1756969188304997,
      0.17357027865065813,
      0.1714703664943747,
      0.16939683791107923,
      0.16734940387217298,
      0.16532784947691923,
      0.16333193514822195,
      0.1613613933964463,
      0.15941593916950778,
      0.15749527665078156,
      0.1555991042619442,
      0.15372709621709957,
      0.1518789000587475,
      0.15005417656330525,
      0.14825260090794506,
      0.14647385940413613,
      0.14471764729392905,
      0.14298366720038624,
      0.1412716279592582,
      0.13958124394793658,
      0.13791223436904615,
      0.13626432290563742,
      0.13463723749868337,
      0.13303071017014148,
      0.1314444766675319,
      0.12987827644519295,
      0.12833185256794558,
      0.12680495164511427,
      0.12529732368700378,
      0.12380872201660535,
      0.12233890323641401,
      0.12088762722486478,
      0.11945465707337251,
      0.11803975909105796,
      0.11664270262285041,
      0.11526326003641217,
      0.11390120667467431,
      0.11255632082430629,
      0.11122838375126866,
      0.10991717963827116,
      0.10862249544281646,
      0.10734412093002386,
      0.10608184865132711,
      0.10483547378621898,
      0.10360479420287563,
      0.1023896103942502,
      0.1011897254996857,
      0.10000494528452715,
      0.09883507795715958,
      0.09767993424253966,
      0.09653932736903978,
      0.09541307293673765,
      0.09430098888948472,
      0.0932028956094165,
      0.09211861574679855,
      0.09104797432487256,
      0.08999079854140571,
      0.08894691787058023,
      0.08791616403285685,
      0.08689837086489335,
      0.08589337433035714,
      0.08490101257040615,
      0.08392112582191882,
      0.08295355626039103,
      0.08199814820624028,
      0.0810547479155852,
      0.08012320360107499,
      0.07920336541489481,
      0.07829508546418047,
      0.07739818068458446,
      0.0765124403289867,
      0.07563767495484391,
      0.07477371340293786,
      0.07392039761019278,
      0.07307757908902394,
      0.07224511651833923,
      0.0714228740556337,
      0.07061071998786705,
      0.06980852601511656,
      0.06901616682413388,
      0.06823351940249146,
      0.067460462994714,
      0.06669687862765664,
      0.06594264915154027,
      0.06519765908433216,
      0.06446176405100419,
      0.06373479624373743,
      0.06301660532396268,
      0.06230705569505981,
      0.06160602251769595,
      0.060913388863912475,
      0.06022904367481322,
      0.05955288037688094,
      0.058884795849668416,
      0.058224689781964364,
      0.057572464137385045,
      0.05692802288937749,
      0.05629127156680862,
      0.05566211730803608,
      0.055040468666529674,
      0.05442623541867253,
      0.053819328583117665,
      0.05321966033654659,
      0.05262714397848987,
      0.0520416938111181,
      0.0514632253126257,
      0.05089165496809309,
      0.05032690026325247,
      0.049768879701234454,
      0.04921751281048006,
      0.048672720102441065,
      0.048134422238127535,
      0.04760251554253016,
      0.047076884661814894,
      0.046557427582757396,
      0.04604405193539457,
      0.045536672400705955,
      0.04503520896978692,
      0.0445395855795309,
      0.044049729206026525,
      0.04356556942095752,
      0.04308704027069608,
      0.04261407815568598,
      0.04214661955080903,
      0.04168460123513412,
      0.0412279604939032,
      0.04077663514454729,
      0.04033056352665478,
      0.0398896845858768,
      0.03945393800168331,
      0.03902326410473589,
      0.0385976037778056,
      0.03817689853690097,
      0.03776109075795807,
      0.037350123346890814,
      0.03694393994313538,
      0.03654248478858081,
      0.036145702723242135,
      0.03575353928776131,
      0.0353659407175464,
      0.03498285380295774,
      0.03460422592303672,
      0.034230005189939613,
      0.033860140287555816,
      0.03349458039513832,
      0.033133275316252216,
      0.03277617540988966,
      0.03242323175903066,
      0.03207439592858801,
      0.0317296200433436,
      0.03138885683592609,
      0.031052059573535715,
      0.030719182011916698,
      0.030390178545314672,
      0.030065003993136864,
      0.02974361380821124,
      0.0294259638832462,
      0.02911201066789563,
      0.02880171097604844,
      0.02849502236081197,
      0.028191902808467187,
      0.027892310790290344,
      0.02759620520828775,
      0.027303545380604956,
      0.027014291200406798,
      0.026728402956567997,
      0.02644584145183217,
      0.02616656802740296,
      0.025890544386237207,
      0.025617732675232596,
      0.02534809543890909,
      0.02508159576208237,
      0.024818197112511573,
      0.02455786338569718,
      0.024300558938303282,
      0.02404624839765459,
      0.023794896939909268,
      0.023546470153640718,
      0.023300934013245896,
      0.023058254821761767,
      0.022818399314469173,
      0.022581334655757266,
      0.022347028310400495,
      0.022115448119734895,
      0.021886562449104634,
      0.021660339904822908,
      0.02143674958663782,
      0.02121576082018818,
      0.02099734327222447,
      0.020781466952603817,
      0.020568102395722935,
      0.02035722027142002,
      0.020148791702790558,
      0.01994278809545332,
      0.019739181292877772,
      0.01953794339597039,
      0.019339046774454808,
      0.01914246421315699,
      0.01894816879249249,
      0.01875613392306688,
      0.018566333260288087,
      0.018378740836525225,
      0.018193330889314952,
      0.018010078059322376,
      0.017828957265545377,
      0.017649943625912434,
      0.017473012633355052,
      0.017298140059666265,
      0.017125301962191843,
      0.016954474710999146,
      0.016785634864205756,
      0.01661875931156452,
      0.016453825113726124,
      0.0162908097240696,
      0.016129690779343668,
      0.015970446215627713,
      0.01581305428340463,
      0.015657493494101487,
      0.015503742472313488,
      0.015351780113595377,
      0.015201585679854088,
      0.015053138571547137,
      0.014906418444154974,
      0.014761405166681377,
      0.01461807885701955,
      0.014476419969401097,
      0.014336409077725326,
      0.01419802702208315,
      0.014061254858960858,
      0.013926073869709503,
      0.01379246057158344,
      0.013660382488774275,
      0.01352980980090859,
      0.013400716509045639,
      0.01327307965339046,
      0.013146878358123977,
      0.01302209324711306
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.78589499578134,
      10.568673921681405,
      10.34230531692327,
      10.109590914931912,
      9.873013214269271,
      9.634702243838897,
      9.396541828262082,
      9.160141235306881,
      8.926873743051438,
      8.697866063902525,
      8.473985763443682,
      8.255841918319634,
      8.04379737845537,
      7.837989681542787,
      7.638359570188223,
      7.444687659706126,
      7.256629697487576,
      7.07375126648032,
      6.895560537781647,
      6.721537340796088,
      6.551158114701432,
      6.38391619299711,
      6.219333419005306,
      6.056973617341064,
      5.896458013694788,
      5.737477162981367,
      5.579794793789616,
      5.423242266468526,
      5.267720191841302,
      5.113205968876141,
      4.959747247282397,
      4.807451828475098,
      4.656482417706218,
      4.507063432346513,
      4.359477106337513,
      4.214052671099007,
      4.071154243832821,
      3.931169323645719,
      3.7945069585555293,
      3.661580392188753,
      3.532777443877606,
      3.4084490489508648,
      3.288901422971746,
      3.174390310040639,
      3.0651174116343527,
      2.9612293211730667,
      2.862823578900999,
      2.769938222016139,
      2.682558096292144,
      2.6006249269265,
      2.5240236994347685,
      2.452582437368554,
      2.3860679447354234,
      2.324211185175041,
      2.266717724472504,
      2.2132697744961964,
      2.1635119261679354,
      2.11704956932794,
      2.073484785112424,
      2.032462259022945,
      1.9936302957790513,
      1.9566646857836545,
      1.9213090660877805,
      1.8873636119968067,
      1.8546697886104047,
      1.8230991923482405,
      1.7925431069111923,
      1.762908691938101,
      1.7341214391479438,
      1.7061204141196118,
      1.6788521470208022,
      1.6522704299073536,
      1.6263365853922196,
      1.601017529181369,
      1.5762845075946885,
      1.5521127042812675,
      1.5284798257272618,
      1.5053651554718954,
      1.482749328976567,
      1.460614160076266,
      1.4389425043201178,
      1.417718150929419,
      1.396925735389831,
      1.376550666522414,
      1.3565796287810044,
      1.3370003636932037,
      1.3178009337301089,
      1.298969747212239,
      1.2804955897897277,
      1.2623676414998375,
      1.244575482237188,
      1.2271094243835063,
      1.2099605031761655,
      1.1931199258832441,
      1.1765788594179656,
      1.160328662474231,
      1.1443610704376617,
      1.128668288090472,
      1.1132436095017553,
      1.0980810632012419,
      1.08317463857617,
      1.0685182574982304,
      1.0541060497779235,
      1.0399325884624737,
      1.0259924755195666,
      1.0122803214337683,
      0.9987907996588854,
      0.9855186828926916,
      0.9724588659559894,
      0.9596063790721342,
      0.9469563945088979,
      0.9345042291752217,
      0.922245344940095,
      0.9101753463462152,
      0.8982899776733595,
      0.8865851191119437,
      0.8750567821070777,
      0.8637013132282868,
      0.8525160156224352,
      0.841498247115763,
      0.8306451359996597,
      0.8199536851793667,
      0.8094208420889404,
      0.799043545212437,
      0.7888187553957252,
      0.7787434762335801,
      0.7688147668232437,
      0.759029749853884,
      0.7493856157985559,
      0.7398793274489762,
      0.730507522255911,
      0.7212679974656729,
      0.7121591052638778,
      0.7031789690719942,
      0.6943255759053588,
      0.6855968379868159,
      0.6769906342807278,
      0.6685048387209198,
      0.6601373392496732,
      0.6518860497760751,
      0.6437489184651028,
      0.6357239323229059,
      0.6278091202726329,
      0.6200025547976953,
      0.612302352173773,
      0.6047066723242216,
      0.5972137183129327,
      0.5898217357680231,
      0.5825290119688449,
      0.5753338744529553,
      0.5682346901960489,
      0.5612298642283966,
      0.5543178386615618,
      0.5474970915999937,
      0.5407661358669159,
      0.5341235182897438,
      0.5275678180495468,
      0.5210976463638031,
      0.514711644965307,
      0.5084084855691321,
      0.5021868686279336,
      0.4960455225763899,
      0.4899832033651307,
      0.4839986931952471,
      0.47809079972848534,
      0.47225835572530167,
      0.46650021792013346,
      0.46081526656078287,
      0.4552024046991353,
      0.44966055741505695,
      0.44418867138234475,
      0.43878571424625396,
      0.4334506738399361,
      0.42818255777607883,
      0.4229803930349228,
      0.4178432252205895,
      0.412770118097601,
      0.4077601532057817,
      0.4028124293273499,
      0.39792606213791526,
      0.3931001836114031,
      0.3883339416375835,
      0.3836264996247755,
      0.3789770361659282,
      0.37438474456564624,
      0.3698488325093389,
      0.3653684815668479,
      0.36094267008230563,
      0.35657036850927026,
      0.35225065335512706,
      0.34798267828388624,
      0.3437656541828585,
      0.3395988348965505,
      0.335481507523391,
      0.33141298562623556,
      0.3273926040620019,
      0.32341971565515637,
      0.31949368872501677,
      0.3156139053064213,
      0.3117797597795026,
      0.30799065787889685,
      0.304246015966224,
      0.30054526056381425,
      0.2968878277805173,
      0.29327316308715784,
      0.2897007207537875,
      0.28616996366155156,
      0.28268036324661533,
      0.2792314432430337,
      0.2758229794745772,
      0.2724548820523867,
      0.2691270376268585,
      0.26583921452694825,
      0.2625910957698911,
      0.25938233036987735,
      0.2562126069382568,
      0.2530815839180822,
      0.24998887351022875,
      0.24693405813992517,
      0.2439167014997244,
      0.24093635647668832,
      0.23799257056641143,
      0.23508488958419654,
      0.23221286009397338,
      0.22937603118893204,
      0.22657395196871538,
      0.22380612159098198,
      0.22107202351639604,
      0.21837128462284675,
      0.2157037920925153,
      0.21306939142462838,
      0.21046786306369902,
      0.20789892838805896,
      0.20536226524112192,
      0.2028575233843525,
      0.20038433496039335,
      0.19794232183894997,
      0.19553110044526184,
      0.19315028538845153,
      0.1907994915215441,
      0.18847833565005756,
      0.18618643759093004,
      0.1839234207894735,
      0.18168891284039895,
      0.1794825457884034,
      0.177303956183847,
      0.1751527854031637,
      0.17302867957384765,
      0.17093128948578407,
      0.16886031068854224,
      0.1668155237902574,
      0.1647966896891209,
      0.16280353976333753,
      0.16083578669814352,
      0.15889313184562395,
      0.15697527008077047,
      0.15508189345721468,
      0.15321268392418638,
      0.1513672893864928,
      0.14954536370828075,
      0.14774657739236668,
      0.14597061358209126,
      0.14421716534886062,
      0.14248593391751135,
      0.14077662709086353,
      0.13908895852360137,
      0.13742264704067528,
      0.13577741601046744,
      0.13415299325441457,
      0.13254911058873117,
      0.1309655037546714,
      0.12940191218884425,
      0.127858078990127,
      0.12633375069443412,
      0.12482867742305795,
      0.12334261257812049,
      0.12187531284746794,
      0.12042653820100745,
      0.11899605177693383,
      0.11758361983533948,
      0.11618901183027629,
      0.11481200018681037,
      0.11345236036154724,
      0.11210987079217831,
      0.11078431286975068,
      0.1094754707871398,
      0.1081831315370009,
      0.10690708489340053,
      0.10564712339023984,
      0.10440304239183808,
      0.10317463985478667,
      0.10196171641711664,
      0.10076407525453882,
      0.09958152219389915,
      0.09841386549174873,
      0.0972609159016147,
      0.09612248676890932,
      0.09499839370854321,
      0.09388845479310086,
      0.09279249044434008,
      0.09171032346641006,
      0.09064177895389948,
      0.08958668417616293,
      0.08854486869844849,
      0.08751616425021143,
      0.08650040483656238,
      0.08549742649522794,
      0.08450706737255363,
      0.08352916774325075,
      0.08256356987260458,
      0.08161011821016315,
      0.08066865912694503,
      0.07973904091087947,
      0.07882111381368626,
      0.07791473003817899,
      0.07701971843946792,
      0.076135869799258,
      0.07526299076897325,
      0.07440090742626111,
      0.07354945979390184,
      0.0727084980763944,
      0.07187788006761475,
      0.07105746929398207,
      0.07024713371678058,
      0.06944674495114027,
      0.0686561774350227,
      0.06787530809221026,
      0.06710401605900092,
      0.066342182396864,
      0.06558969000319427,
      0.0648464234461533,
      0.06411225780370412,
      0.06338702932612165,
      0.0626705805185861,
      0.06196277086117419,
      0.06126347212714357,
      0.060572564935423685,
      0.0598899365491529,
      0.05921547924689789,
      0.05854908920640379,
      0.057890665615972434,
      0.05724011012239169,
      0.05659732645337754,
      0.05596222008292936,
      0.055334698033783915,
      0.05471466882257804,
      0.05410204220714856,
      0.053496729234188745,
      0.052898642161541505,
      0.05230769434059871,
      0.051723800185358916,
      0.05114687518067476,
      0.0505768359262762,
      0.05001359999107099,
      0.04945708594923402,
      0.04890721342967924,
      0.04836390295001448,
      0.047827076008395614,
      0.04729665160592346,
      0.04677252352858715,
      0.04625457999185345,
      0.04574272187858355,
      0.04523685917753265,
      0.04473690847346258,
      0.044242791219992285,
      0.04375443264480178,
      0.04327176117856654,
      0.04279471007813022,
      0.04232321521079958,
      0.04185721279144314,
      0.041396639394985994,
      0.040941432106896644,
      0.040491528659551995,
      0.04004686748237101,
      0.03960738744550089,
      0.03917302825148655,
      0.03874373026991434,
      0.03831943447363765,
      0.037900082554999256,
      0.03748561679055409,
      0.03707598028675706,
      0.03667111675445153,
      0.036270970473943925,
      0.0358754863921212,
      0.035484610139880746,
      0.03509828792144686,
      0.03471646662883319,
      0.03433909369799013,
      0.0339661172724305,
      0.03359748612464986,
      0.033233149624644465,
      0.032873057678753766,
      0.03251716084258191,
      0.032165410041619415,
      0.03181775692670633,
      0.03147415372626409,
      0.031134553212264823,
      0.030798908712784203,
      0.030467174117100603,
      0.03013930385445955,
      0.02981525286848212,
      0.02949497657455068,
      0.029178430959083266,
      0.02886557258832855,
      0.028556358502344836,
      0.028250746196203172,
      0.027948693686097398,
      0.027650159440324732,
      0.027355102452031092,
      0.027063482231652752,
      0.026775258727738484,
      0.026490392249746357,
      0.026208843726183303,
      0.02593057453567902,
      0.025655546518174234,
      0.025383721793509072,
      0.025115063007614725,
      0.024849533265658266,
      0.024587096070404633,
      0.02432771541139112,
      0.024071355642931003,
      0.02381798159586852,
      0.023567558477935322,
      0.02332005193467924,
      0.023075427997616332,
      0.02283365307835625,
      0.022594693932447646,
      0.022358517713584106,
      0.022125092048532847,
      0.021894384859292522,
      0.021666364479256732,
      0.021440999599023094,
      0.021218259302716244,
      0.020998112985092774,
      0.02078053040642109,
      0.02056548176972355,
      0.020352937571981977,
      0.020142868582484357,
      0.01993524597631991,
      0.019730041284981785,
      0.019527226310207382,
      0.019326773134332592,
      0.0191286542970827,
      0.018932842637048822,
      0.018739311274273102,
      0.01854803365750348,
      0.01835898352369303,
      0.018172134947780902,
      0.017987462196407376,
      0.017804939983373517,
      0.017624543249538167,
      0.017446247159913983,
      0.017270027311728355,
      0.017095859486007687,
      0.016923719839008446,
      0.016753584725668656,
      0.016585430836207646,
      0.01641923509191465,
      0.01625497464358311,
      0.016092626960081034,
      0.01593216975912543,
      0.015773580989739255,
      0.015616838949456483,
      0.01546192214185739,
      0.015308809230439717,
      0.015157479215720028,
      0.01500791128290688,
      0.014860085012875888,
      0.014713980123906198,
      0.014569576570329574,
      0.014426854495505492,
      0.014285794306946487,
      0.014146376707287007,
      0.01400858250411365,
      0.013872392789267357,
      0.013737788896365214,
      0.013604752359346502,
      0.013473264922809454,
      0.013343308546615801,
      0.013214865430618042,
      0.013087913143894684,
      0.012962420622485215,
      0.012838359581583181
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785889743706145,
      10.568649793316578,
      10.342251956993762,
      10.109502030932012,
      9.872885538680693,
      9.63453412216564,
      9.396333059879979,
      9.159892623902394,
      8.926586660448441,
      8.697542270969388,
      8.47362721691755,
      8.255450533108123,
      8.043374847518011,
      7.837537299578857,
      7.637878247617062,
      7.444178003584548,
      7.2560920321921305,
      7.07318567874594,
      6.89496693804683,
      6.720915532274268,
      6.550507867990916,
      6.383237362648712,
      6.218625783829277,
      6.056237031494619,
      5.89569261232574,
      5.736683554144724,
      5.578974051196258,
      5.422395945879683,
      5.266850342810934,
      5.11231508571386,
      4.958838521854548,
      4.806528945920464,
      4.655549375353394,
      4.506124583669798,
      4.358537098220208,
      4.213116361698335,
      4.070226608381903,
      3.9302554982118707,
      3.793612410976816,
      3.6607103864998756,
      3.531936791424076,
      3.407642029631779,
      3.28813172367005,
      3.173660984804784,
      3.064430860889078,
      2.960587288425371,
      2.862227044066025,
      2.7693873065942327,
      2.6820523751563474,
      2.6001630756524374,
      2.5236035186093733,
      2.452200734042097,
      2.38572063934358,
      2.323893836165686,
      2.2664258743482337,
      2.2129987791087955,
      2.163256966224944,
      2.1168055707923945,
      2.073247198681753,
      2.032226993563651,
      1.993393552410328,
      1.9564234936361236,
      1.9210612493055423,
      1.8871076033473146,
      1.854404466350655,
      1.822823785206421,
      1.7922570287207111,
      1.7626115549572998,
      1.7338130412966186,
      1.7058007099933186,
      1.6785212218080128,
      1.6519284188264372,
      1.6259836578352602,
      1.6006538777830321,
      1.5759102508396372,
      1.5517278383578141,
      1.5280844174017567,
      1.5049593192226771,
      1.4823332114859902,
      1.4601879287328108,
      1.438506339428462,
      1.4172722399494928,
      1.3964702688967314,
      1.376085835374066,
      1.356105644412717,
      1.336517438630249,
      1.3173092701200158,
      1.2984695379891291,
      1.2799870203083725,
      1.261850890363557,
      1.2440507218236228,
      1.2265768719342545,
      1.2094203772785588,
      1.1925724562240398,
      1.1760243283170084,
      1.1597673152853116,
      1.1437931164160187,
      1.1280939271910242,
      1.1126630535678683,
      1.0974945063367754,
      1.0825822513899184,
      1.0679202075903709,
      1.053502682004316,
      1.0393242450101585,
      1.0253794219299148,
      1.011662769109297,
      0.9981689225466676,
      0.9848926285189737,
      0.9718287630672865,
      0.958972342706651,
      0.9463185298289066,
      0.9338626343199675,
      0.9216001126490385,
      0.9095265653218926,
      0.8976377332788735,
      0.8859294938607319,
      0.8743978564545731,
      0.8630393024447579,
      0.8518512118298798,
      0.8408308710525824,
      0.8299753592805547,
      0.8192816452071089,
      0.8087466521526003,
      0.7983673021852846,
      0.7881405443893112,
      0.7780633739477407,
      0.7681328439563861,
      0.7583460728330493,
      0.7487002480630438,
      0.7391923429077152,
      0.7298191407815868,
      0.720578643421631,
      0.711469081595516,
      0.7024884957117968,
      0.6936348154696437,
      0.684905913471821,
      0.6762996413494619,
      0.6678138538862736,
      0.6594464256298717,
      0.6511952611765551,
      0.6430583020270302,
      0.6350335307130007,
      0.6271189730133503,
      0.6193126988182556,
      0.6116128226521439,
      0.604017503186445,
      0.5965249426461091,
      0.5891333856902405,
      0.5818411189731687,
      0.5746464693622434,
      0.5675478032367438,
      0.5605435250709521,
      0.553632076606731,
      0.5468119354268665,
      0.5400816140815153,
      0.5334396588326739,
      0.5268846486582128,
      0.5204151941147203,
      0.5140299366232552,
      0.5077275474975741,
      0.5015067267952414,
      0.49536620265802445,
      0.4893047304581291,
      0.48332109203521734,
      0.4774140947735491,
      0.47158257087861294,
      0.4658253766788228,
      0.4601413920318232,
      0.454529519584485,
      0.448988684041992,
      0.44351783177994164,
      0.4381159298855839,
      0.4327819658266799,
      0.42751494696197534,
      0.4223138996920613,
      0.41717786919335986,
      0.4121059190514799,
      0.40709713046500967,
      0.4021506017843274,
      0.39726544813232423,
      0.392440801135042,
      0.3876758082292373,
      0.38296963254038974,
      0.3783214522647473,
      0.3737304604720236,
      0.3691958644144995,
      0.3647168230536386,
      0.3602922825069723,
      0.35592123047065466,
      0.35160275519909956,
      0.347336018435309,
      0.3431202364450928,
      0.3389546667476714,
      0.3348385990468776,
      0.33077134842321887,
      0.3267522508157718,
      0.3227806597611202,
      0.31885594376826676,
      0.31497748495801764,
      0.3111446777416918,
      0.30735692770165723,
      0.3036136510644609,
      0.29991427407970167,
      0.29625823267217233,
      0.29264497185826366,
      0.2890739456254159,
      0.2855446166645477,
      0.28205645609555424,
      0.2786090084042887,
      0.27520209397797624,
      0.2718356396573495,
      0.26850951084415237,
      0.2652234553575562,
      0.2619771417015914,
      0.2587702255306637,
      0.2556023963853246,
      0.25247329976012006,
      0.2493825387903529,
      0.24632968933352353,
      0.24331431052804586,
      0.2403359521166805,
      0.23739415919862414,
      0.23448847572646173,
      0.23161844711780588,
      0.22878362164854849,
      0.22598354170727084,
      0.22321769740000633,
      0.2204855937716082,
      0.2177870066627845,
      0.21512182475923416,
      0.21248985268374165,
      0.20989083523992494,
      0.20732446461709428,
      0.2047903986056506,
      0.2022882730209689,
      0.1998177104461374,
      0.19737832601340374,
      0.1949697316083234,
      0.1925915385760572,
      0.19024335950094562,
      0.18792480957469015,
      0.18563550758444894,
      0.18337507620669405,
      0.18114314256279493,
      0.17893933830033013,
      0.17676329971003432,
      0.17461466795534317,
      0.17249308888117218,
      0.17039824135583861,
      0.16832990134616935,
      0.16628783061824928,
      0.1642717596171317,
      0.16228139896300123,
      0.16031644721451346,
      0.15837659602358897,
      0.15646153374488178,
      0.15457094789572887,
      0.15270452437737084,
      0.1508619193103851,
      0.14904277960809625,
      0.14724677097402808,
      0.14547357339911635,
      0.1437228777875754,
      0.14199438376610599,
      0.14028779812751077,
      0.13860283388993902,
      0.1369392093960627,
      0.1352966478304605,
      0.13367487675864423,
      0.13207362791587382,
      0.1304926370089495,
      0.128931643511702,
      0.12739039049799256,
      0.12586862457487016,
      0.12436609580184764,
      0.12288255762737878,
      0.12141776682999213,
      0.11997148349563301,
      0.11854347074468367,
      0.11713349499072305,
      0.1157413256882382,
      0.11436673533205287,
      0.1130094994924834,
      0.11166939661214809,
      0.11034620809900723,
      0.10903971825076847,
      0.10774971414486571,
      0.1064759856774537,
      0.10521832547202639,
      0.1039765289882637,
      0.1027503942077195,
      0.10153972179266828,
      0.10034431503787417,
      0.0991639797739968,
      0.09799852440073806,
      0.09684775980172715,
      0.09571149922959275,
      0.09458955840303925,
      0.09348175565711656,
      0.09238791144094638,
      0.09130784863097717,
      0.09024139234991235,
      0.08918836997195974,
      0.08814861119319659,
      0.08712194782397456,
      0.0861082138495739,
      0.0851072454223836,
      0.08411888070586715,
      0.08314296010125495,
      0.08217932596347285,
      0.08122782277934901,
      0.08028829696823657,
      0.0793605969573426,
      0.07844457318121138,
      0.07754007786895632,
      0.07664695143648877,
      0.07576498743195167,
      0.07489398827607387,
      0.07403377695494975,
      0.07318419159359589,
      0.07234508102005041,
      0.07151630205967674,
      0.07069771761699703,
      0.06988919528987864,
      0.06909060632917555,
      0.0683018250606075,
      0.0675227283789443,
      0.0667531952738588,
      0.06599310695245526,
      0.06524234626690739,
      0.06450079778136587,
      0.063768347571683,
      0.06304484802040272,
      0.06233013336271394,
      0.061624057372143375,
      0.06092648786445088,
      0.06023730280210849,
      0.05955638756407545,
      0.058883633048778014,
      0.05821893459049676,
      0.05756219073364731,
      0.05691330270983671,
      0.05627217399183033,
      0.05563870991337273,
      0.05501281746158854,
      0.054394405031018674,
      0.053783382443968165,
      0.053179660734294115,
      0.05258315227342429,
      0.05199377045886131,
      0.05141142970576954,
      0.05083604565874255,
      0.05026753492471083,
      0.049705815121310816,
      0.04915080496387689,
      0.048602424010202545,
      0.04806059289490683,
      0.04752523329141232,
      0.046996267728161914,
      0.046473614007287375,
      0.045957164123223385,
      0.045446809599337654,
      0.044942453760769815,
      0.04444400858400768,
      0.04395139236303765,
      0.04346452815416048,
      0.042983342712754564,
      0.04250776816732109,
      0.04203773960828339,
      0.041573192666394,
      0.04111406367228559,
      0.0406602895261843,
      0.04021180788760145,
      0.03976855705009775,
      0.0393304759136924,
      0.03889750414727983,
      0.03846958213485211,
      0.03804665089226429,
      0.03762865220935277,
      0.037215528518092886,
      0.036807222843088926,
      0.03640367893844992,
      0.036004841208133756,
      0.03561065469573725,
      0.03522106506396984,
      0.03483601867181923,
      0.03445546251138083,
      0.03407934411857333,
      0.03370761172122151,
      0.03334021410023512,
      0.03297710062195846,
      0.03261822125956537,
      0.03226352654386328,
      0.03191296772310437,
      0.03156649646739021,
      0.031224065045521332,
      0.0308856263419261,
      0.03055113376467387,
      0.030220541257266104,
      0.029893803385906376,
      0.02957087504701817,
      0.029251711863554835,
      0.028936269877596354,
      0.02862450563625441,
      0.028316376295119357,
      0.02801183937095717,
      0.027710852922363728,
      0.027413375557385152,
      0.027119366319044477,
      0.02682878482105308,
      0.02654159099733859,
      0.02625774532377749,
      0.025977208809921028,
      0.025699942839705447,
      0.025425909217627142,
      0.02515507019411374,
      0.024887388581734952,
      0.024622827549035102,
      0.02436135063230741,
      0.02410292190120424,
      0.02384750578935159,
      0.023595067104627873,
      0.023345571133101435,
      0.02309898351554801,
      0.022855270392924863,
      0.02261439835637465,
      0.022376334259095815,
      0.022141045366407198,
      0.02190849924663382,
      0.021678663885495646,
      0.021451507579968294,
      0.021226999125759153,
      0.02100510765038074,
      0.020785802730753426,
      0.02056905416752002,
      0.02035483215909684,
      0.020143107262959793,
      0.019933850273890098,
      0.019727032408329143,
      0.019522625268051614,
      0.01932060074153188,
      0.0191209310145027,
      0.018923588709089455,
      0.018728546693764177,
      0.018535778091518348,
      0.018345256422564807,
      0.018156955392324738,
      0.017970849119153767,
      0.01778691209007291,
      0.017605118946270572,
      0.01742544475900993,
      0.01724786483641644,
      0.017072354741126488,
      0.016898890289911758,
      0.016727447617848702,
      0.01655800325021847,
      0.01639053384483715,
      0.016225016412428572,
      0.016061428207218613,
      0.015899746733299674,
      0.01573994975804787,
      0.01558201530136618,
      0.015425921593916774,
      0.015271647233484793,
      0.015119170941960717,
      0.014968471768140394,
      0.014819529056520179,
      0.014672322283478232,
      0.01452683126943249,
      0.014383036036035917,
      0.01424091676597217,
      0.014100453897026724,
      0.013961628153360646,
      0.013824420450895544,
      0.013688811879770354,
      0.0135547837635682,
      0.013422317726094302,
      0.013291395600129163,
      0.013161999407082113,
      0.013034111337362866,
      0.012907713782344123,
      0.012782789335135169,
      0.012659320881226246
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785884507500091,
      10.568625741325345,
      10.342198776121418,
      10.109413462441545,
      9.872758340050654,
      9.634366660219117,
      9.396125148584106,
      9.159645078031518,
      8.926300863871553,
      8.697219991163575,
      8.473270413833905,
      8.255061122703935,
      8.042954522290112,
      7.837087339486366,
      7.637399565769227,
      7.443671208420921,
      7.255557450448569,
      7.072623401691695,
      6.894376880253489,
      6.720297502218013,
      6.549861642480314,
      6.38256280143115,
      6.2179226711617765,
      6.055505226770803,
      5.894932255421977,
      5.735895255476313,
      5.5781588863115985,
      5.421555451880154,
      5.265986569946576,
      5.11143052606257,
      4.95793636296122,
      4.805612866063541,
      4.654623362635666,
      4.505192978914572,
      4.357604531899665,
      4.212187672158848,
      4.069306747037691,
      3.929349589228891,
      3.7927259008179224,
      3.659848501214581,
      3.5311043039987347,
      3.406843182588232,
      3.287370168892644,
      3.1729397424714443,
      3.0637522994328052,
      2.959953122134639,
      2.861638227426838,
      2.768843939321338,
      2.6815540138380927,
      2.5997083829301326,
      2.5231902871585477,
      2.4518257659412415,
      2.3853798539059192,
      2.3235827961647426,
      2.266140129719169,
      2.2127336966379025,
      2.1630077401357273,
      2.116567143146062,
      2.0730150373274565,
      2.031996961326714,
      1.9931618421582604,
      1.9561871775370359,
      1.9208181840175362,
      1.886856246978305,
      1.8541437166140722,
      1.822552885788396,
      1.7919754064569078,
      1.762318832195637,
      1.7335090232529307,
      1.7054853577218534,
      1.678194625129391,
      1.6515907167115629,
      1.6256350232443393,
      1.6002945051426891,
      1.5755403217065689,
      1.5513473825723574,
      1.5276934753932911,
      1.504557986995761,
      1.481921622412714,
      1.4597662408270657,
      1.4380747266825737,
      1.4168308857498928,
      1.3960193612620873,
      1.3756255642663133,
      1.3556362198866134,
      1.3360390719984905,
      1.3168221631380403,
      1.2979738838077324,
      1.2794830046428611,
      1.2613386921110628,
      1.243530515362363,
      1.2260488761749975,
      1.208884811022578,
      1.1920295153592482,
      1.1754742772408844,
      1.1592104155373866,
      1.1432295892043938,
      1.1275239805055153,
      1.1120869049520148,
      1.0969123544335846,
      1.081994269934342,
      1.0673266541430464,
      1.0529039476244568,
      1.0387206288770523,
      1.0247711598976124,
      1.011050052597218,
      0.9975519115197851,
      0.984271460865157,
      0.9712035608414763,
      0.9583432164221215,
      0.9456855817671638,
      0.9332259606613296,
      0.9209598047826517,
      0.9088827107438184,
      0.8969904169436393,
      0.885278798564636,
      0.8737438629120737,
      0.8623822697236789,
      0.8511914167901221,
      0.8401685241065137,
      0.8293106250383155,
      0.8186146564011421,
      0.8080775192630023,
      0.7976961199576493,
      0.7874673966831165,
      0.7773883369274889,
      0.7674559880902205,
      0.7576674643143898,
      0.7480199499625169,
      0.7385104299499892,
      0.7291359042391105,
      0.7198944838373628,
      0.710784286073617,
      0.7018032735104643,
      0.6929493220631883,
      0.6842202668499546,
      0.6756139334221379,
      0.667128158755051,
      0.6587608047232032,
      0.6505097673494571,
      0.6423729821023975,
      0.6343484272611033,
      0.6264341252468417,
      0.6186281436995494,
      0.6109285952753328,
      0.6033336374773904,
      0.595841471493448,
      0.588450341499621,
      0.5811585330432494,
      0.5739643724218577,
      0.566866225618069,
      0.5598624968249499,
      0.5529516270774238,
      0.5461320935308491,
      0.5394024083767528,
      0.5327611172753484,
      0.5262067987853668,
      0.5197380632707952,
      0.5133535516979523,
      0.5070519349115855,
      0.5008319125560169,
      0.49469221238403827,
      0.4886315893460658,
      0.4826488247194457,
      0.4767427255356558,
      0.47091212374947516,
      0.4651558752302375,
      0.45947285949320843,
      0.4538619787759803,
      0.44832215732809455,
      0.44285234096607917,
      0.4374514965418271,
      0.4321186112249777,
      0.426852691779805,
      0.4216527643718932,
      0.4165178737888668,
      0.41144708299241844,
      0.40643947280003306,
      0.40149414121562516,
      0.3966102030710615,
      0.3917867896253838,
      0.3870230479696224,
      0.3823181407480039,
      0.37767124581516825,
      0.3730815557544895,
      0.3685482776409067,
      0.36407053349724766,
      0.3596472569662172,
      0.3552774511161398,
      0.35096021493452684,
      0.3466947174664254,
      0.34248017995404856,
      0.33831586329531727,
      0.33420105931566113,
      0.33013508452548523,
      0.326117275744815,
      0.32214698689418286,
      0.318223586903484,
      0.31434645784158577,
      0.31051499402568594,
      0.30672860095033805,
      0.30298669458015337,
      0.29928870101863164,
      0.2956340557633828,
      0.2920222035772795,
      0.28845259813618584,
      0.2849247018476604,
      0.28143798543363213,
      0.2779920227412866,
      0.2745866739659409,
      0.27122188037994127,
      0.26789747980609807,
      0.2646132009124676,
      0.2613687004329182,
      0.25816364485478,
      0.2549977178812181,
      0.2518705529531326,
      0.24878174490939284,
      0.245730863775863,
      0.24271746439761868,
      0.23974109346514746,
      0.23680129385891366,
      0.2338976080477967,
      0.2310295802353571,
      0.22819675784915494,
      0.225398676852602,
      0.222634818407496,
      0.21990478747889217,
      0.21720845647242093,
      0.21454566062965805,
      0.21191617039081087,
      0.20931969736756917,
      0.20675591065975255,
      0.204224452194547,
      0.20172494668447732,
      0.1992570091945215,
      0.19682024969793852,
      0.19441427634371627,
      0.19203869789327419,
      0.18969312520902668,
      0.1873771723351131,
      0.18509045717480402,
      0.18283260174193106,
      0.18060323271297948,
      0.1784019813911146,
      0.17622848396114527,
      0.17408238132306833,
      0.17196334045247422,
      0.1698711238648312,
      0.16780549530040811,
      0.16576618515059685,
      0.16375290254610841,
      0.16176534343713064,
      0.15980319631515197,
      0.1578661459799107,
      0.15595387604691696,
      0.1540660708346801,
      0.15220241659523506,
      0.15036258087756105,
      0.14854620902038482,
      0.14675296146673458,
      0.1449825144786473,
      0.14323455647459546,
      0.141508785332278,
      0.13980490681220006,
      0.13812263326910407,
      0.1364616824552792,
      0.13482177716239474,
      0.133202644765014,
      0.13160401689993192,
      0.13002562919723315,
      0.1284672211258379,
      0.12692853566699688,
      0.12540931948859568,
      0.12390932266688497,
      0.1224282987499663,
      0.12096600459068109,
      0.11952220028565823,
      0.11809664910578688,
      0.1166891174051146,
      0.1152993747625565,
      0.1139271937397599,
      0.11257234991592671,
      0.11123462189462925,
      0.1099137911742385,
      0.10860964204085413,
      0.10732196160407054,
      0.10605053992504573,
      0.10479516972166131,
      0.10355564644582171,
      0.10233176817896694,
      0.10112333567635365,
      0.09993015231261992,
      0.09875202394710013,
      0.09758875909689932,
      0.09644016870557397,
      0.09530606619381653,
      0.0941862673660024,
      0.09308059044614068,
      0.09198885605213203,
      0.09091088705128937,
      0.08984650868462267,
      0.08879554844504627,
      0.0877578360590465,
      0.08673320339975776,
      0.08572148451606995,
      0.08472251571390271,
      0.08373613531155787,
      0.08276218370776242,
      0.08180050337751886,
      0.08085093883099481,
      0.07991333657028868,
      0.07898754518685296,
      0.07807341508167491,
      0.07717079859282254,
      0.07627954294236917,
      0.07539945154752101,
      0.07453032170586935,
      0.07367197317462235,
      0.07282424159039218,
      0.07198697415754216,
      0.07116002664000437,
      0.07034326122906273,
      0.06953654505617457,
      0.0687397490296564,
      0.06795274727771151,
      0.06717541661608144,
      0.0664076361085766,
      0.06564928678902546,
      0.06490025155582668,
      0.06416041502574825,
      0.06342966337512379,
      0.06270787060267348,
      0.06199487368029369,
      0.06129051899049151,
      0.060594669171196956,
      0.05990719846853988,
      0.059227989810906385,
      0.05855693253951145,
      0.057893920749554115,
      0.05723885216147296,
      0.05659162748329038,
      0.0559521498766069,
      0.05532032442255818,
      0.054696057983051674,
      0.05407925897667462,
      0.05346983706822922,
      0.052867703391040535,
      0.05227277019252809,
      0.05168495097741624,
      0.05110416030234535,
      0.05053031392793074,
      0.04996332844361551,
      0.049403121596173785,
      0.04884961199844287,
      0.04830271944307517,
      0.04776236464473444,
      0.04722846927237086,
      0.0467009559180363,
      0.04617974819997952,
      0.04566476324915858,
      0.04515589183128307,
      0.04465302832761397,
      0.044156078374295575,
      0.043664955755997326,
      0.043179580426125214,
      0.04269987688125708,
      0.04222577553349368,
      0.04175721058858829,
      0.04129411709277267,
      0.0408364308294116,
      0.04038408843753745,
      0.0399370273368246,
      0.039495185616980025,
      0.03905850227993153,
      0.038626916989211425,
      0.03820037009224538,
      0.03777880259434091,
      0.037362156284758787,
      0.036950373678129596,
      0.03654339783144077,
      0.03614117257981402,
      0.03574364239361191,
      0.035350752457372535,
      0.0349624485480952,
      0.034578677027026196,
      0.03419938492583601,
      0.03382451985115013,
      0.03345403011706504,
      0.033087864571718056,
      0.032725972718722254,
      0.032368304656557934,
      0.032014810924962944,
      0.0316654428268309,
      0.031320152215532325,
      0.030978891402152754,
      0.030641613337983684,
      0.030308271510049466,
      0.029978819892860442,
      0.02965321305466919,
      0.02933140602739661,
      0.029013354477492488,
      0.028699014557927997,
      0.028388342870198348,
      0.02808129664766526,
      0.027777833562697647,
      0.02747791169784076,
      0.02718148977620101,
      0.026888526891737277,
      0.026598982587670444,
      0.026312817028958994,
      0.02602999064901879,
      0.025750464545338192,
      0.025474200225199053,
      0.025201159531304463,
      0.02493130484866978,
      0.024664598982724203,
      0.024401005204627606,
      0.024140487123129994,
      0.02388300885076866,
      0.02362853491407407,
      0.023377030181361974,
      0.023128459979806216,
      0.02288279006751453,
      0.022639986588530257,
      0.022400016054776685,
      0.022162845469203992,
      0.02192844215194694,
      0.021696773771441684,
      0.02146780840209945,
      0.021241514520186758,
      0.02101786093098117,
      0.020796816812136215,
      0.02057835165009498,
      0.020362435355746392,
      0.020149038216541047,
      0.019938130811839788,
      0.01972968405027526,
      0.019523669214761497,
      0.019320057996215525,
      0.019118822338048208,
      0.018919934447004426,
      0.018723366945096943,
      0.01852909273680274,
      0.018337085100009674,
      0.018147317530291755,
      0.01795976389795044,
      0.01777439840270341,
      0.017591195542585588,
      0.017410130026523942,
      0.017231176917052435,
      0.01705431157701238,
      0.016879509661978268,
      0.016706747075592485,
      0.01653599998331312,
      0.01636724494159773,
      0.016200458685006552,
      0.016035618155840446,
      0.015872700693705097,
      0.01571168384474181,
      0.01555254540713462,
      0.015395263445983135,
      0.015239816302529593,
      0.015086182642782745,
      0.014934341272041067,
      0.014784271255460588,
      0.014635951994835828,
      0.01448936299509556,
      0.014344484095742828,
      0.014201295289916538,
      0.014059776868503075,
      0.013919909368303084,
      0.013781673565643554,
      0.013645050451921173,
      0.01351002112072061,
      0.013376567018217232,
      0.013244669819390362,
      0.01311431138793879,
      0.012985473717847423,
      0.012858139002703571,
      0.012732289731268031,
      0.012607908561473513,
      0.012484978341438496
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785879286552825,
      10.568601762656938,
      10.342145766380588,
      10.10932517606686,
      9.872631560155204,
      9.63419977494336,
      9.395917991447499,
      9.159398478249022,
      8.926016212087314,
      8.696899060829479,
      8.47291512228541,
      8.25467339646721,
      8.042536061371035,
      7.836639430948975,
      7.636923128347244,
      7.443166855455687,
      7.255025514514896,
      7.0720639777443175,
      6.893789887073175,
      6.719682752483362,
      6.549218917022884,
      6.381891929667004,
      6.217223415518046,
      6.054777458893397,
      5.894176126532361,
      5.735111385654178,
      5.577348357861382,
      5.420719806514037,
      5.265127859739811,
      5.110551241729542,
      4.95703969096039,
      4.804702482523394,
      4.6537032514054735,
      4.504267471809236,
      4.3566782449496575,
      4.211265425916797,
      4.0683934722551145,
      3.9284503856351884,
      3.7918461876248464,
      3.6589934749794524,
      3.530278707769067,
      3.4060512285346882,
      3.286615479631366,
      3.1722253107804352,
      3.0630804685618513,
      2.9593255844140973,
      2.861055918830787,
      2.7683069430638567,
      2.681061873249829,
      2.5992597510262954,
      2.522782950783283,
      2.4514565232513914,
      2.3850446231160407,
      2.323277142596327,
      2.2658596081085096,
      2.212473680965105,
      2.162763404801359,
      2.116333420311777,
      2.0727874202458305,
      2.0317713318311363,
      1.992934415471763,
      1.9559550491826285,
      1.9205792293205675,
      1.8866089386416975,
      1.8538869640141338,
      1.8222859423649673,
      1.7916977073626426,
      1.7620300070860266,
      1.7332088833112071,
      1.705173867947072,
      1.677871878925424,
      1.651256855747587,
      1.6252902221282224,
      1.5999389602089962,
      1.5751742425587067,
      1.5509708164528277,
      1.5273064506657852,
      1.5041605912903138,
      1.481513983395262,
      1.4593485131110004,
      1.4376470813779867,
      1.4163935043296676,
      1.3955724305381654,
      1.3751692778641644,
      1.3551707906953,
      1.3355647093638783,
      1.31633906722937,
      1.2974822467670737,
      1.2789830113915386,
      1.2608305213679865,
      1.243014366199276,
      1.2255249805253479,
      1.208353375164528,
      1.191490727412238,
      1.1749283770026533,
      1.1586576674462827,
      1.1426702161146867,
      1.1269581920732388,
      1.1115149244760676,
      1.0963343792633582,
      1.081410472937083,
      1.0667373830079598,
      1.0523095626581618,
      1.0381214085677273,
      1.02416732580471,
      1.010441786229309,
      0.9969393661232304,
      0.9836547698179725,
      0.9705828431224353,
      0.9577185806883659,
      0.9450571289444131,
      0.9325937861187312,
      0.9203239995355358,
      0.9082433626527772,
      0.8963476110460705,
      0.8846326175567532,
      0.873094387476261,
      0.8617297587566342,
      0.8505361469913965,
      0.839510705990628,
      0.8286504231200363,
      0.8179522032696995,
      0.8074129254587016,
      0.7970294803342386,
      0.7867987949490846,
      0.7767178491392075,
      0.7667836848001516,
      0.7569934117863628,
      0.7473442113986144,
      0.7378330806459713,
      0.7284572993883351,
      0.7192150030905695,
      0.7101042025066128,
      0.7011227866163331,
      0.6922685805379509,
      0.6835393839290492,
      0.674932998015098,
      0.666447242891777,
      0.6580799686555601,
      0.6498290628310387,
      0.6416924551029299,
      0.6336681195627442,
      0.6257540757670083,
      0.6179483892901756,
      0.6102491711273089,
      0.6026545774636781,
      0.5951628085520028,
      0.5877721076766473,
      0.5804807599605888,
      0.5732870910500325,
      0.5661894663211144,
      0.5591862894740842,
      0.5522760011578489,
      0.5454570781397436,
      0.5387280320366968,
      0.5320874081220714,
      0.5255337845456712,
      0.5190657710558648,
      0.5126820082732982,
      0.5063811666807766,
      0.5001619456657734,
      0.4940230724419179,
      0.4879633014883658,
      0.4819814139273153,
      0.4760762162335012,
      0.47024653980470066,
      0.4644912402265059,
      0.4588091965403732,
      0.4531993104928505,
      0.447660506124453,
      0.44219172881122815,
      0.4367919449569158,
      0.4314601412445677,
      0.4261953241369578,
      0.42099651939855764,
      0.4158627713880396,
      0.410793142757743,
      0.40578671382540776,
      0.4008425823326878,
      0.39595986267518474,
      0.3911376856240644,
      0.3863751978788326,
      0.3816715617840425,
      0.37702595477870793,
      0.3724375690631161,
      0.36790561130631994,
      0.3634291617043377,
      0.3590071489645659,
      0.3546385908517995,
      0.3503225963674974,
      0.346058341448029,
      0.34184505204282023,
      0.3376819922871132,
      0.33356845608844266,
      0.329503761258582,
      0.3254872454587398,
      0.32151826314382353,
      0.3175961833822066,
      0.31372038840401506,
      0.309890272301596,
      0.3061052404646788,
      0.3023647086929349,
      0.29866810264578836,
      0.29501485757797274,
      0.2914044180422463,
      0.28783623740752756,
      0.2843097776493304,
      0.28082450917094937,
      0.2773800457084993,
      0.2739762882599328,
      0.2706131729253258,
      0.2672905127157754,
      0.26400801888470277,
      0.26076533930047713,
      0.25756215087889567,
      0.25439813032555186,
      0.2512728998805759,
      0.2481860464498503,
      0.2451371343574705,
      0.24212571470098754,
      0.23915133116586798,
      0.23621352453584518,
      0.23331183590365379,
      0.23044580825114347,
      0.2276149881235788,
      0.22481890233812715,
      0.22205704331268347,
      0.2193291649493059,
      0.2166351435192436,
      0.21397477363168615,
      0.2113477898151247,
      0.20875387510488186,
      0.206192679079597,
      0.20366382993180918,
      0.2011669430496452,
      0.19870162685515017,
      0.19626748678683806,
      0.19386412788714152,
      0.19149115675544107,
      0.1891481828112097,
      0.1868348189610262,
      0.18455068234718597,
      0.18229539446770857,
      0.18006858152210706,
      0.17786987453807224,
      0.17569890957363946,
      0.17355534115511861,
      0.17143891700656888,
      0.16934940354604708,
      0.16728653128464543,
      0.16525000790830213,
      0.16323952697427455,
      0.16125477388271836,
      0.15929542992253587,
      0.15736117500505425,
      0.15545168943941895,
      0.1535666552850736,
      0.15170575712101245,
      0.14986867416735705,
      0.14805505505738006,
      0.14626455444658265,
      0.14449684462494722,
      0.1427516113352663,
      0.1410285507219234,
      0.1393273672762384,
      0.13764777237709722,
      0.13598948326829785,
      0.13435222244957282,
      0.13273571706601653,
      0.13113969860504626,
      0.12956390267103804,
      0.12800806858225833,
      0.12647193941853904,
      0.12495526187123311,
      0.12345778606636115,
      0.1219792655897025,
      0.12051945722411228,
      0.11907812109790968,
      0.11765502060859558,
      0.11624992221744644,
      0.11486259557857958,
      0.11349281333500899,
      0.11214035112792844,
      0.11080498753362239,
      0.10948650412420935,
      0.10818468529070414,
      0.10689931826611823,
      0.10563019314544196,
      0.10437710275010842,
      0.10313984252703293,
      0.10191821073017548,
      0.1007120081217313,
      0.09952103814015417,
      0.09834510684184183,
      0.09718402272496007,
      0.09603759679658856,
      0.09490564257915568,
      0.09378797593445239,
      0.0926844151758535,
      0.09159478096013451,
      0.09051889622562188,
      0.08945658631021021,
      0.08840767885514374,
      0.08737200362819743,
      0.08634939260861135,
      0.08533967993346482,
      0.0843427019412332,
      0.0833582970350999,
      0.08238630572905532,
      0.08142657050717984,
      0.08047893596378923,
      0.07954324869999979,
      0.07861935732590028,
      0.07770711233975307,
      0.07680636618272098,
      0.07591697312247842,
      0.07503874675575127,
      0.0741714792486541,
      0.07331498671595396,
      0.0724691023737719,
      0.07163367174091748,
      0.07080854947151616,
      0.06999359699913606,
      0.0691886809190216,
      0.06839367183876031,
      0.06760844362588779,
      0.06683287293167875,
      0.06606683883083869,
      0.0653102223712786,
      0.06456290646239332,
      0.06382477581464692,
      0.06309571663804216,
      0.06237561531649387,
      0.06166432440367985,
      0.06096168174311807,
      0.060267544009512126,
      0.059581781414893016,
      0.05890427401630921,
      0.05823490911724311,
      0.057573579533799754,
      0.05692018210471418,
      0.056274616888193754,
      0.05563678660615219,
      0.05500659607975348,
      0.054383951981538704,
      0.053768762613624066,
      0.05316093784173852,
      0.05256038863102798,
      0.051967027327516464,
      0.05138076743552152,
      0.05080152348872889,
      0.050229211233766426,
      0.04966374746831729,
      0.04910504997564008,
      0.04855303751691053,
      0.048007629874878464,
      0.0474687478378501,
      0.04693631313670325,
      0.046410248414032226,
      0.04589047740674514,
      0.045376924703400844,
      0.04486950679117096,
      0.044368114508521767,
      0.04387264462375602,
      0.04338300472233356,
      0.042899110292994265,
      0.04242088286872691,
      0.04194825070357025,
      0.041481146413440376,
      0.04101950398481037,
      0.04056325854000498,
      0.040112346217989314,
      0.039666704135211554,
      0.03922627029947758,
      0.0387909834764376,
      0.03836078323066109,
      0.037935609976005744,
      0.037515404838625255,
      0.03710010962142389,
      0.036689666808938474,
      0.03628401955919042,
      0.03588311177454743,
      0.03548688802250299,
      0.03509529350064759,
      0.03470827400068367,
      0.03432577603715405,
      0.03394774666389221,
      0.033574133671209525,
      0.03320488544221878,
      0.03283995090396548,
      0.03247927958543848,
      0.032122821639808105,
      0.03177052780537839,
      0.03142234928302347,
      0.031078238060799963,
      0.030738146525587807,
      0.030402027712986484,
      0.03006983519027462,
      0.029741522982983173,
      0.02941704573547349,
      0.0290963586638744,
      0.028779417377666493,
      0.028466178180135353,
      0.0281565977444583,
      0.027850633316605814,
      0.027548242624136878,
      0.02724938384448039,
      0.02695401568300976,
      0.026662097411768185,
      0.026373588722732922,
      0.02608844976408743,
      0.02580664110190046,
      0.025528123861567917,
      0.025252859575586158,
      0.024980810217420133,
      0.024711938179777727,
      0.024446206356432895,
      0.024183577990480126,
      0.023924016797546466,
      0.02366748708784295,
      0.023413953371614084,
      0.023163380640331098,
      0.022915734248308978,
      0.022670980038002442,
      0.02242908423156881,
      0.022190013470289243,
      0.021953734709387197,
      0.02172021531111725,
      0.021489423063246353,
      0.021261325988997614,
      0.021035892673728154,
      0.020813092058988583,
      0.020592893333452888,
      0.020375266104800772,
      0.02016018029979264,
      0.019947606230802137,
      0.019737514568492296,
      0.019529876366810483,
      0.01932466288598733,
      0.019121845740597,
      0.0189213970045101,
      0.018723289076191897,
      0.018527494621093165,
      0.018333986630117448,
      0.0181427383072688,
      0.017953723270055677,
      0.017766915388474355,
      0.017582288911821616,
      0.017399818355007358,
      0.017219478525684305,
      0.017041244559281816,
      0.016865091884828813,
      0.016690996243322532,
      0.01651893357337934,
      0.016348880101532504,
      0.01618081236327543,
      0.016014707155642273,
      0.01585054156704355,
      0.015688292944886544,
      0.015527938825411359,
      0.015369457106684302,
      0.015212825936419625,
      0.015058023708855431,
      0.014905029081838623,
      0.014753820969554382,
      0.014604378497839928,
      0.014456681049552571,
      0.014310708215500007,
      0.014166439848001398,
      0.014023856083579637,
      0.013882937201415762,
      0.013743663768779783,
      0.013606016615498397,
      0.013469976650678426,
      0.013335525131264054,
      0.013202643537707668,
      0.01307131349484662,
      0.012941516916164316,
      0.012813235977350757,
      0.01268645290630177,
      0.012561150231688486,
      0.012437310631486651,
      0.01231491701776312
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785874080559172,
      10.56857785497213,
      10.342092922537487,
      10.109236848609378,
      9.872504609837693,
      9.634032652265976,
      9.39571057945321,
      9.159151646851306,
      8.925731384619143,
      8.69657803659029,
      8.472559830016722,
      8.254285783816107,
      8.042117847528027,
      7.836191916078003,
      7.636447243185257,
      7.4426632242046225,
      7.254494477768622,
      7.071505638694097,
      6.893204172135606,
      6.719069480859576,
      6.548577875906153,
      6.38122287718598,
      6.216526053031247,
      6.054051677632769,
      5.89342209574128,
      5.734329740629592,
      5.576540194680592,
      5.419886678803706,
      5.264271829120294,
      5.1096748058458115,
      4.956146041888366,
      4.803795300659271,
      4.652786521803312,
      4.503345524107339,
      4.3557556910748705,
      4.2103470797731655,
      4.067484254457376,
      3.9275553827605263,
      3.7909708005453804,
      3.6581428804539624,
      3.5294576278466776,
      3.4052638545322744,
      3.285865412099418,
      3.171515521141883,
      3.0624132802223003,
      2.9587026710761264,
      2.860478199283636,
      2.7677744851091157,
      2.6805742062925155,
      2.5988155172875356,
      2.522379930267763,
      2.451091508748351,
      2.384713529295404,
      2.3229755345741196,
      2.2655830425620187,
      2.2122175357574543,
      2.162522850743628,
      2.1161033901403608,
      2.072563417672494,
      2.0315492497911687,
      1.9927104813158618,
      1.9557263686035926,
      1.9203436860209842,
      1.8863650121745588,
      1.8536335697317103,
      1.822022338374962,
      1.7914233332223668,
      1.761744496165627,
      1.7329120492419314,
      1.7048656781162557,
      1.6775524289004742,
      1.650926289379631,
      1.624948715910591,
      1.5995867116496854,
      1.5748114627320504,
      1.5505975599575266,
      1.5269227444519973,
      1.503766522208578,
      1.4811096793162601,
      1.4589341283565236,
      1.4372227875873698,
      1.4159594832525526,
      1.39512886956585,
      1.3747163766877046,
      1.3547087652107812,
      1.3350937661690447,
      1.3158594045462508,
      1.2969940553829418,
      1.2784864755624203,
      1.2603258192729914,
      1.2425016966952926,
      1.2250045749907958,
      1.2078254405049818,
      1.1909554520792158,
      1.1743859789494253,
      1.1581084179863466,
      1.1421143429175078,
      1.1263959080134303,
      1.1109464554938722,
      1.095759924112345,
      1.080830287354137,
      1.066151860362369,
      1.0517190217652468,
      1.0375260995531237,
      1.0235674505172787,
      1.0098375126908359,
      0.9963308384586846,
      0.9830421147981018,
      0.9699661752100339,
      0.9570980054422419,
      0.9444327454479673,
      0.9319656883337377,
      0.9196922777024028,
      0.9076081038233668,
      0.8957088997161664,
      0.8839905360420653,
      0.8724490831203384,
      0.8610815240331321,
      0.8498852250770184,
      0.8388572844823757,
      0.8279946509062607,
      0.8172942022744434,
      0.8067527986574312,
      0.7963673174836062,
      0.7861346767049724,
      0.7760518491148279,
      0.7661158718072884,
      0.7563238515008328,
      0.7466729665395295,
      0.7371602708363801,
      0.7277833028690811,
      0.7185401774483132,
      0.7094288056505963,
      0.7004470075634995,
      0.6915925605637708,
      0.6828632316009169,
      0.6742567989374241,
      0.6657710666313388,
      0.6574038738591004,
      0.6491531005233424,
      0.6410166707859027,
      0.6329925547064549,
      0.6250787689769903,
      0.6172733772050212,
      0.609574488948076,
      0.6019802592685718,
      0.5944888873223247,
      0.5870986155927349,
      0.5798077286384011,
      0.5726145515410384,
      0.5655174490797781,
      0.5585148244954838,
      0.5516051179045726,
      0.54478680561474,
      0.5380583986960193,
      0.5314184421631992,
      0.5248655137055006,
      0.5183982227589101,
      0.5120152094682325,
      0.5057151436454833,
      0.4994967243142048,
      0.4933586783703055,
      0.48729975988874336,
      0.48131874959711424,
      0.4754144536302836,
      0.46958570301893027,
      0.46383135287258104,
      0.45815028182013223,
      0.45254139132985816,
      0.44700360480995543,
      0.44153586728005123,
      0.43613714475295234,
      0.4308064235322181,
      0.42554270968181573,
      0.42034502851810546,
      0.41521242397326785,
      0.4101439582645758,
      0.4051387113121113,
      0.40019578059397365,
      0.3953142801181284,
      0.39049334016478265,
      0.38573210716493445,
      0.38102974310792476,
      0.3763854250120959,
      0.37179834471444995,
      0.36726770839565354,
      0.3627925547738553,
      0.3583718077671883,
      0.35400449955150615,
      0.34968974906032146,
      0.3454267391153763,
      0.3412147004305396,
      0.3370529002575934,
      0.33294063456683987,
      0.3288772225659035,
      0.32486200268618526,
      0.32089432971860044,
      0.31697357295037165,
      0.31309911466127643,
      0.30927034886067756,
      0.30548668073299334,
      0.30174752592579945,
      0.2980523098700448,
      0.29440046746193826,
      0.2907914428518168,
      0.28722468920068184,
      0.2836996681882567,
      0.280215849882352,
      0.2767728877510194,
      0.27337072689844033,
      0.27000929351085484,
      0.26668837610663887,
      0.2634076686973421,
      0.2601668192671321,
      0.25696551037332593,
      0.25380340441576016,
      0.25068011372056265,
      0.24759521801418435,
      0.24454827674061505,
      0.24153883730238154,
      0.23856644096185667,
      0.23563062679375762,
      0.23273093434106462,
      0.2298669055697642,
      0.22703808618160617,
      0.22424399147985244,
      0.2214842049594195,
      0.21875857989094533,
      0.2160669404942232,
      0.21340904681561734,
      0.2107846007221656,
      0.2081932626607528,
      0.20563466646437714,
      0.2031084295042793,
      0.20061415976622707,
      0.19815146048931118,
      0.19571993347875774,
      0.1933191813475844,
      0.190948808925181,
      0.18860842429617033,
      0.1862976394997031,
      0.18401607110809667,
      0.18176334028041097,
      0.17953907297856334,
      0.17734290007975895,
      0.17517446284085456,
      0.17303349333473167,
      0.1709197609825888,
      0.16883299676313857,
      0.16677290711781118,
      0.1647391833535329,
      0.1627315078585125,
      0.1607495583638416,
      0.15879301097315926,
      0.15686154195959595,
      0.15495482927224272,
      0.15307255331260514,
      0.15121439755061164,
      0.14938004814958236,
      0.1475691643797163,
      0.14578139452687985,
      0.14401640664491236,
      0.142273883534177,
      0.14055351922649872,
      0.13885501692854108,
      0.1371780870924396,
      0.13552244640174144,
      0.1338878169500986,
      0.13227392557110096,
      0.13068050361645508,
      0.12910728654505502,
      0.12755401372899,
      0.12602042827822418,
      0.12450627682664586,
      0.12301130951375323,
      0.12153527995205564,
      0.12007794506589592,
      0.11863906507464572,
      0.11721840337189346,
      0.11581572652329016,
      0.11443080421756535,
      0.11306340906872114,
      0.1117133167776663,
      0.11038030603693359,
      0.10906415856654716,
      0.10776465872087271,
      0.1064815938866015,
      0.10521475415318014,
      0.10396393248259815,
      0.10272892444304722,
      0.10150952822534252,
      0.10030554469994248,
      0.09911677737533535,
      0.09794303230787997,
      0.09678411812880554,
      0.09563984600379503,
      0.09451002949344231,
      0.09339448456156776,
      0.0922930296178825,
      0.09120548536524675,
      0.09013167483978371,
      0.08907142338275402,
      0.08802455865238236,
      0.08699091052313711,
      0.0859703110754743,
      0.08496259459360998,
      0.0839675974246882,
      0.08298515803946718,
      0.08201511698293783,
      0.08105731690862011,
      0.08011160249349249,
      0.07917782047447373,
      0.07825581945718003,
      0.07734545002402311,
      0.0764465646903185,
      0.0755590178709158,
      0.07468263717018407,
      0.07381721639852955,
      0.07296256691366787,
      0.07211851865461472,
      0.07128491502495135,
      0.07046160908734392,
      0.06964846118861645,
      0.06884533721378447,
      0.0680521074560196,
      0.06726864552585504,
      0.06649482783258966,
      0.0657305332896537,
      0.06497564288283116,
      0.06423003957732537,
      0.06349360809216467,
      0.06276623473527608,
      0.062047807416444535,
      0.06133820060918289,
      0.06063725355013445,
      0.05994481537092537,
      0.059260751136430104,
      0.058584937155858885,
      0.05791725814705513,
      0.05725760516503298,
      0.05660587381220802,
      0.05596196333504572,
      0.05532577603976492,
      0.05469721640804852,
      0.05407619080648303,
      0.05346260742587974,
      0.052856375979085574,
      0.0522574074879004,
      0.051665614249562564,
      0.05108090980155616,
      0.05050320883111437,
      0.049932427079381024,
      0.049368481319413314,
      0.04881128947190762,
      0.04826077044843343,
      0.04771684410039078,
      0.04717943115225494,
      0.04664845346595035,
      0.04612383377503903,
      0.045605495886844614,
      0.045093364452612354,
      0.044587364916136886,
      0.044087413202790596,
      0.04359340149038613,
      0.043105228599543535,
      0.042622803836776725,
      0.04214604424608272,
      0.04167487503615574,
      0.04120922673220064,
      0.04074903186494103,
      0.04029422448822703,
      0.039844740125659674,
      0.03940051534109998,
      0.03896148779031135,
      0.03852759619087465,
      0.03809878005783165,
      0.037674979594874335,
      0.037256135858654324,
      0.036842190675018795,
      0.036433086583832784,
      0.03602876692953177,
      0.03562917562087968,
      0.03523425720142943,
      0.03484395696686527,
      0.03445822083737133,
      0.03407699537214229,
      0.03370022772610049,
      0.0333278656882778,
      0.032959857675106986,
      0.03259615275781667,
      0.032236700606568344,
      0.03188145142097974,
      0.03153035597386766,
      0.031183365613100443,
      0.030840432284349295,
      0.030501508533917716,
      0.030166547476085593,
      0.029835502695551578,
      0.029508328361614905,
      0.02918497921441611,
      0.028865410537408265,
      0.02854957803000436,
      0.028237437971571504,
      0.027928947225183923,
      0.02762406299884048,
      0.02732274314258606,
      0.02702494588789865,
      0.026730630046930933,
      0.026439754968925158,
      0.02615228038438548,
      0.02586816643814211,
      0.025587373880124584,
      0.025309863867094353,
      0.025035597982360845,
      0.024764538307954765,
      0.024496647355725307,
      0.024231887993617383,
      0.023970223596072027,
      0.02371161798020927,
      0.023456035327551118,
      0.023203440361895557,
      0.02295379807114705,
      0.02270707398369731,
      0.022463233893384563,
      0.022222244145310856,
      0.02198407141494363,
      0.021748682774763183,
      0.02151604566077153,
      0.021286127820990475,
      0.021058897437336556,
      0.020834323118646112,
      0.020612373756814698,
      0.020393018684864414,
      0.020176227574311076,
      0.019961970430758227,
      0.01975021765436984,
      0.019540940019324844,
      0.019334108527472846,
      0.019129694510909696,
      0.018927669710516005,
      0.018728006292264496,
      0.018530676610960504,
      0.01833565334998006,
      0.01814290955405326,
      0.017952418561752528,
      0.017764154066369185,
      0.017578090038168237,
      0.01739420076876374,
      0.017212460763786814,
      0.017032844916535502,
      0.016855328390376238,
      0.016679886674118793,
      0.016506495523949335,
      0.01633513096380248,
      0.016165769286884735,
      0.01599838703887229,
      0.015832961078590082,
      0.015669468576380224,
      0.015507886930915572,
      0.015348193782326052,
      0.015190367077167824,
      0.015034385000922074,
      0.014880226019807426,
      0.014727868700768367,
      0.014577292021902333,
      0.014428475232597235,
      0.014281397702280147,
      0.01413603908748269,
      0.013992379449420113,
      0.013850398889217207,
      0.013710077616426244,
      0.013571396284782943,
      0.013434335712616124,
      0.013298877004898388,
      0.013165001479196258,
      0.013032690566813929,
      0.012901925930739272,
      0.012772689552895655,
      0.012644963536127955,
      0.012518730269261848,
      0.01239397237088069,
      0.012270672551005925,
      0.012148813708786552
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785868885857024,
      10.568554001898178,
      10.342040201297234,
      10.109148714333859,
      9.87237793463297,
      9.633865894101335,
      9.395503626900368,
      9.158905375166349,
      8.925447196219578,
      8.696257713717172,
      8.472205306806998,
      8.253899012160252,
      8.041700536257096,
      7.835745360441921,
      7.635972380205887,
      7.442160682947819,
      7.253964603269786,
      7.070948539115975,
      6.892619778671987,
      6.7184576174118895,
      6.5479383333400625,
      6.380555397617224,
      6.215830324805764,
      6.0533276004568775,
      5.8926698442003405,
      5.733549955684545,
      5.575733977019728,
      5.419055585382567,
      5.263417923758085,
      5.108800587591282,
      4.955254704715053,
      4.802890525792088,
      4.651872294024313,
      4.502426171668274,
      4.354835822148125,
      4.209431501086486,
      4.0665778777807295,
      3.926663283845361,
      3.7900983685386165,
      3.6572952786043396,
      3.5286395637131607,
      3.4044795043093163,
      3.285118362181567,
      3.1708087286239324,
      3.0617490539875067,
      2.958082671850092,
      2.8599033339957285,
      2.7672448109601304,
      2.6800892441068336,
      2.598373903696512,
      2.5219794420275803,
      2.450728936139731,
      2.384384787024937,
      2.3226761905942976,
      2.265308658546624,
      2.211963496481719,
      2.1622843060973036,
      2.11587526712916,
      2.0723412403126393,
      2.0313289298390655,
      1.9924882646147972,
      1.955499376240203,
      1.9201098139978852,
      1.8861227494700055,
      1.853381838910418,
      1.8217604029075751,
      1.791150637692546,
      1.7614606773520816,
      1.7326169241368687,
      1.704559216906722,
      1.6772347288806146,
      1.6505974947478668,
      1.6246090031958764,
      1.5992362787452268,
      1.574450520582419,
      1.550226238964024,
      1.526541048489797,
      1.503374522387376,
      1.4807074915440792,
      1.458521898925473,
      1.4368006825654491,
      1.415527680259015,
      1.3946875525385227,
      1.3742657434551755,
      1.3542490297691294,
      1.3346251340413786,
      1.315382073450007,
      1.2965082158138606,
      1.277992311442888,
      1.2598235081512255,
      1.2419914365494547,
      1.2244865972416574,
      1.2072999516978429,
      1.1904226399018605,
      1.17384602773601,
      1.1575615817567677,
      1.14156086564111,
      1.1258360141751784,
      1.1103803791907685,
      1.095187869575263,
      1.080252594481712,
      1.065568915021848,
      1.0511311205972944,
      1.036933477105611,
      1.0229702980543975,
      1.0092359908940276,
      0.9957250861723786,
      0.9824322554086494,
      0.9693523211251148,
      0.9564802608793936,
      0.9438112080958443,
      0.9313404512108343,
      0.9190634302488682,
      0.9069757327360295,
      0.8950730891210166,
      0.8833513680207589,
      0.8718067312633236,
      0.8604362938359733,
      0.8492373463659059,
      0.8382069354699224,
      0.8273419740723906,
      0.8166393152794836,
      0.8060958016850308,
      0.7957082983008481,
      0.7854737143672101,
      0.7753890165268169,
      0.765451237350284,
      0.7556574798821228,
      0.7460049202649905,
      0.7364907709297577,
      0.7271127790697499,
      0.7178689376819956,
      0.708757073778551,
      0.6997749490847021,
      0.6909203006961465,
      0.6821908676977426,
      0.6735844088498227,
      0.6650987147193639,
      0.6567316149725437,
      0.648480982981926,
      0.6403447380869236,
      0.6323208471604773,
      0.6244073246411607,
      0.616602232014045,
      0.6089036776214218,
      0.601309815190142,
      0.5938188432745838,
      0.5864290036179488,
      0.5791385801460669,
      0.5719458974842585,
      0.5648493198185727,
      0.5578472498055426,
      0.5509381273349553,
      0.5441204280247863,
      0.5373926628539355,
      0.5307533763972615,
      0.5242011457781481,
      0.5177345798863191,
      0.511352318638683,
      0.5050530316264942,
      0.4988354172220773,
      0.4926982018178388,
      0.4866401392794937,
      0.4806600096255088,
      0.4747566186148132,
      0.4689287968226971,
      0.46317539899610655,
      0.45749530343790235,
      0.4518874109909034,
      0.4463506447937861,
      0.4408839496173663,
      0.43548629091061347,
      0.43015665447431684,
      0.424894046052657,
      0.4196974906420694,
      0.4145660317739972,
      0.4094987312808773,
      0.4044946687094203,
      0.3995529410184579,
      0.39467266185084765,
      0.38985296124607494,
      0.3850929851079905,
      0.38039189501437537,
      0.3757488676321576,
      0.37116309440129025,
      0.36663376984036833,
      0.36215989703584567,
      0.3577404064153826,
      0.35337434296205816,
      0.349060834333305,
      0.3447990691915139,
      0.3405882821293471,
      0.336427743179873,
      0.33231675010648015,
      0.3282546232823007,
      0.32424070181866393,
      0.32027434076499733,
      0.31635490962611096,
      0.3124817907170841,
      0.30865437806408735,
      0.3048720765044827,
      0.3011343012897736,
      0.29744047768228143,
      0.29379004036771744,
      0.29018243325404336,
      0.28661710907267424,
      0.28309352918894676,
      0.2796111633410854,
      0.2761697232605868,
      0.27276918918262205,
      0.269409458307628,
      0.2660902976091304,
      0.26281138616866123,
      0.25957237419128937,
      0.25637294954095774,
      0.2532127609474229,
      0.25009141132342777,
      0.24700847374866386,
      0.24396350292141866,
      0.24095604290944259,
      0.23798563252845184,
      0.2350518090931199,
      0.2321541109251603,
      0.2292920789967009,
      0.22646525842906157,
      0.22367316536694973,
      0.22091552737971945,
      0.21819220705966932,
      0.21550298799082593,
      0.21284759403425096,
      0.21022569892835496,
      0.20763694366284416,
      0.2050809486400209,
      0.20255732193009698,
      0.20006566503875517,
      0.19760557685874416,
      0.19517665601073741,
      0.19277850289378037,
      0.19041072086803762,
      0.1880729170706614,
      0.18576470280533494,
      0.18348569404065584,
      0.18123551154958137,
      0.17901378099584425,
      0.17682013300622532,
      0.17465428131250985,
      0.17251599568924425,
      0.17040500845380516,
      0.16832102544059363,
      0.16626373582647672,
      0.1642328191766737,
      0.16222794975108085,
      0.16024879986238985,
      0.15829504188553903,
      0.15636634966433027,
      0.15446239937175174,
      0.1525828702472475,
      0.15072744496570945,
      0.14889580995196838,
      0.1470876387138705,
      0.14530258031206497,
      0.14354029744735125,
      0.14180046930867257,
      0.14008278745197245,
      0.13838695323714528,
      0.1367126759548468,
      0.1350596715466422,
      0.1334276616146919,
      0.13181637275584362,
      0.13022553598221845,
      0.12865488663921565,
      0.12710416400069646,
      0.12557311107381391,
      0.12406147463238247,
      0.12256900487423257,
      0.12109545541393861,
      0.11964058321675645,
      0.1182041485497109,
      0.11678591486061174,
      0.11538564875049588,
      0.11400311994333011,
      0.11263810122166049,
      0.1112903683469192,
      0.10995970014235465,
      0.10864587829331486,
      0.10734868728482214,
      0.10606791457076797,
      0.10480335020617366,
      0.10355478716266873,
      0.1023220210812057,
      0.1011048503584215,
      0.09990307602633917,
      0.09871650160906592,
      0.09754493320430711,
      0.09638817954233432,
      0.09524605165295255,
      0.09411836324689396,
      0.09300493044456067,
      0.09190557171097655,
      0.09082010777321729,
      0.0897483617811027,
      0.08869015924766772,
      0.08764532791517812,
      0.08661369767355247,
      0.08559510070288716,
      0.08458937125497412,
      0.08359634577944043,
      0.08261586292424755,
      0.08164776335976431,
      0.08069188977204925,
      0.07974808688882688,
      0.0788162014432186,
      0.07789608218253675,
      0.07698757978606825,
      0.0760905467770026,
      0.07520483770195736,
      0.07433029448479367,
      0.07346671277261757,
      0.07261389904555603,
      0.07177167983701492,
      0.07093989629175992,
      0.07011839991916627,
      0.06930705001812779,
      0.06850571179639084,
      0.06771425500901722,
      0.06693255298927415,
      0.06616048197001845,
      0.06539792073732009,
      0.06464475022989961,
      0.0639008533729156,
      0.06316611488057321,
      0.062440421113608445,
      0.061723659987158216,
      0.061015719527405775,
      0.06031645451271829,
      0.05962570520459608,
      0.05894333038930734,
      0.05826920222231659,
      0.057603202571844474,
      0.05694522038582289,
      0.05629514990387146,
      0.05565288944918979,
      0.05501834053207789,
      0.054391407188606085,
      0.05377199556733343,
      0.05316001366403712,
      0.05255537110793583,
      0.05195797898952331,
      0.0513677495696269,
      0.05078459633959183,
      0.050208434022689916,
      0.04963917846558907,
      0.049076746530987536,
      0.04852105616279817,
      0.047972026334269245,
      0.0474295769654317,
      0.046893628974212516,
      0.046364104258528036,
      0.045840925627742994,
      0.045324016950993286,
      0.044813302860760774,
      0.04430870893687361,
      0.043810161728324346,
      0.04331757721889251,
      0.04283084898375504,
      0.0423498775573667,
      0.04187457376194159,
      0.041404858365844475,
      0.04094065888746984,
      0.04048190586216419,
      0.0400285319417551,
      0.03958047151445905,
      0.03913766060813039,
      0.038700036386315514,
      0.0382675371830448,
      0.037840102268773865,
      0.03741767185187964,
      0.037000186937743235,
      0.03658758933691308,
      0.03617982169893951,
      0.03577682723758598,
      0.03537854996719875,
      0.0349849344903699,
      0.03459592615380412,
      0.03421147097158726,
      0.03383151552262334,
      0.0334560070852821,
      0.033084893584238405,
      0.03271812345675896,
      0.03235564585861333,
      0.031997410461961986,
      0.031643367564028434,
      0.031293468058348366,
      0.030947663420857818,
      0.0306059056886277,
      0.030268147447415378,
      0.02993434182432823,
      0.02960444247296803,
      0.02927840371354329,
      0.02895618034144208,
      0.028637727647629452,
      0.028323001498128143,
      0.028011958263142206,
      0.02770455479585508,
      0.027400748502215137,
      0.02710049715820405,
      0.026803759193124537,
      0.02651049344097862,
      0.026220659246633523,
      0.02593421639566457,
      0.025651125195439575,
      0.0253713463991767,
      0.025094841211478543,
      0.024821571349482048,
      0.02455149895647554,
      0.02428458652052247,
      0.02402079703930687,
      0.023760094094562718,
      0.023502441563238587,
      0.02324780359686129,
      0.022996144945467433,
      0.022747430653980282,
      0.022501626408995425,
      0.02225869805435685,
      0.022018611908936652,
      0.021781334762034827,
      0.02154683369856204,
      0.02131507626284628,
      0.021086030254953928,
      0.02085966400542591,
      0.020635946149264138,
      0.020414845630311824,
      0.020196331859345187,
      0.01998037458800287,
      0.019766943847273222,
      0.01955601009101473,
      0.019347543990956347,
      0.01914151679248081,
      0.018937899966572493,
      0.018736665352485,
      0.018537785015382245,
      0.018341231340537403,
      0.01814697717945211,
      0.017954995558908733,
      0.017765259861621946,
      0.017577743747056215,
      0.017392421315509103,
      0.01720926695560467,
      0.017028255307475988,
      0.01684936127145213,
      0.016672560068749884,
      0.01649782720140475,
      0.01632513845176779,
      0.01615446990833284,
      0.015985797852792017,
      0.015819098972492663,
      0.0156543502497889,
      0.01549152877001498,
      0.015330611994345187,
      0.01517157768396284,
      0.015014403774616538,
      0.01485906857648655,
      0.014705550542728362,
      0.014553828350329066,
      0.014403880975463239,
      0.014255687649236634,
      0.014109227935285207,
      0.01396448150316031,
      0.013821428303151268,
      0.013680048570296663,
      0.013540322695945035,
      0.013402231322555231,
      0.013265755401406286,
      0.0131308759014337,
      0.012997574199132255,
      0.012865831820900992,
      0.012735630542261105,
      0.012606952354608385,
      0.012479779464480043,
      0.01235409418564176,
      0.012229879187730358,
      0.012107117205539582,
      0.011985791295766345
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785863700615325,
      10.568530192858589,
      10.341987579899065,
      10.109060750701227,
      9.87225150925327,
      9.633699471406878,
      9.395297100047951,
      9.158659623006542,
      8.925163621339157,
      8.695938099793066,
      8.471851588090182,
      8.25351314015836,
      8.041284200534973,
      7.835299840504404,
      7.635498614995949,
      7.4416593048627835,
      7.253435961118663,
      7.0703927439292045,
      6.892036764927193,
      6.717847212428784,
      6.547300332907763,
      6.379889546747711,
      6.215136314900096,
      6.052605334200682,
      5.891919501264634,
      5.7327721802052976,
      5.574929871480667,
      5.418226707754414,
      5.262566337910851,
      5.107928790592739,
      4.95436588992525,
      4.8019883740144405,
      4.650960788140351,
      4.501509635411465,
      4.35391885647256,
      4.208518904096746,
      4.065674550647939,
      3.925774289554006,
      3.78922908118459,
      3.656450845280132,
      3.5278246755502947,
      3.4036983210736667,
      3.2843744542379683,
      3.170105037641102,
      3.0610878749314954,
      2.957465652901245,
      2.8593313712934703,
      2.7667179520964478,
      2.679607002283374,
      2.597934910465336,
      2.5215814718681218,
      2.4503687158832546,
      2.3840582410357465,
      2.322378899287156,
      2.265036197298945,
      2.2117112647543626,
      2.1620474687137463,
      2.115648762839151,
      2.07212060939125,
      2.0311101008133625,
      1.9922675005553827,
      1.9552738121503515,
      1.9198773564055558,
      1.8858818958056438,
      1.8531315186042363,
      1.8214998853285853,
      1.7908793720388578,
      1.761178305199168,
      1.7323232655680503,
      1.7042542435927277,
      1.676918538906253,
      1.650270233070325,
      1.6242708468679365,
      1.5988874266108666,
      1.5740911841511218,
      1.5498565485121387,
      1.5261610075364445,
      1.5029842017100647,
      1.480307007506139,
      1.4581113980454041,
      1.4363803303501972,
      1.415097654200801,
      1.3942480370354142,
      1.3738169360112331,
      1.353791144390747,
      1.3341583755806157,
      1.3149066390350908,
      1.2960242957893962,
      1.2775000894083794,
      1.2593231620253498,
      1.2414831642560065,
      1.2239706297733148,
      1.2067764952564983,
      1.1898918820692794,
      1.1733081418388118,
      1.1570168131115324,
      1.1410094643733142,
      1.1252782143472997,
      1.1098164154476264,
      1.0946179989102192,
      1.079677217278166,
      1.0649883802383282,
      1.0505456997025049,
      1.0363433876048314,
      1.022375719166408,
      1.008637074551807,
      0.9951219653961485,
      0.9818250495542599,
      0.968741139540374,
      0.9558652053804279,
      0.9431923752839964,
      0.9307179333611308,
      0.9184373160941066,
      0.906346108401073,
      0.8944400387504239,
      0.8827149738976134,
      0.8711671663952719,
      0.8597938633159439,
      0.8485922799998451,
      0.8375594112214436,
      0.826692134197366,
      0.8159872769320241,
      0.8054416648177335,
      0.7950521508251717,
      0.7848156351961436,
      0.774729078388984,
      0.7647895085682537,
      0.7549940253224869,
      0.7453398021234113,
      0.735824218075193,
      0.7264452188133876,
      0.7172006761874178,
      0.7080883333452311,
      0.6991058944055587,
      0.6902510561209648,
      0.6815215296464885,
      0.6729150547059263,
      0.6644294084307567,
      0.6560624112851485,
      0.6478119299093394,
      0.6396758793284496,
      0.6316522229988597,
      0.6237389726709812,
      0.6159341881863332,
      0.6082359765388919,
      0.6006424906469767,
      0.5931519279221318,
      0.5857625294355285,
      0.5784725785473933,
      0.5712803994158093,
      0.564184355622417,
      0.557182849252433,
      0.5502743197519009,
      0.5434572425686663,
      0.5367301279649107,
      0.5300915200079641,
      0.5235399954905969,
      0.5170741629902688,
      0.5106926617166136,
      0.5043941609406563,
      0.49817735868821217,
      0.4920409810751997,
      0.4859837813990634,
      0.48000453934613474,
      0.47410206019235906,
      0.46827517412755826,
      0.4625227354525686,
      0.45684362205967793,
      0.45123673451294394,
      0.4457009955450292,
      0.4402353493622914,
      0.4348387610673235,
      0.4295102160217956,
      0.42424871961122257,
      0.41905329624374726,
      0.4139229892122929,
      0.4088568600240609,
      0.40385398783460097,
      0.39891346914090764,
      0.39403441725227734,
      0.38921596169302775,
      0.38445724797085945,
      0.37975743725439687,
      0.37511570586079823,
      0.3705312449605612,
      0.36600322754233733,
      0.3615306262106121,
      0.35711238776879145,
      0.3527475682909596,
      0.3484353030398394,
      0.3441747859159491,
      0.3399652552014045,
      0.33580598306778037,
      0.3316962688899705,
      0.32763543383603533,
      0.3236228175184131,
      0.31965777534597356,
      0.31573967693881905,
      0.3118679043927053,
      0.30804185155869374,
      0.3042609231786672,
      0.3005245343081227,
      0.29683210989785097,
      0.2931830843301826,
      0.2895769011772528,
      0.28601301288843306,
      0.2824908804066275,
      0.27900998741335686,
      0.2755700986374488,
      0.27217121399346095,
      0.26881320233555805,
      0.26549581080289714,
      0.2622187057117205,
      0.258981545884165,
      0.2557840159737976,
      0.2526257525884086,
      0.24950634988516293,
      0.24642537498562012,
      0.24338237824556003,
      0.24037690070844184,
      0.2374084788729064,
      0.2344766483705245,
      0.23158094638944024,
      0.22872091303246858,
      0.2258960909671151,
      0.22310607298607457,
      0.22035068831859503,
      0.21762974876259034,
      0.21494300323148435,
      0.21229014330893958,
      0.20967082038549686,
      0.20708466005761034,
      0.204531272117604,
      0.2020102573042663,
      0.1995212120622189,
      0.19706373160760512,
      0.1946374121776286,
      0.1922418524984343,
      0.18987665470590467,
      0.18754142504155794,
      0.18523577428820157,
      0.18295931796040255,
      0.18071167647897454,
      0.1784924753191923,
      0.176301405736263,
      0.1741382320619333,
      0.17200268911232153,
      0.16989448290282227,
      0.1678133013126996,
      0.16575882134116984,
      0.16373071408931217,
      0.16172864818728255,
      0.15975229202323923,
      0.157801315259875,
      0.15587538995646183,
      0.1539741911606861,
      0.15209739734844055,
      0.1502446906174622,
      0.148415756986157,
      0.14661028086015207,
      0.14482791853741772,
      0.14306832665062338,
      0.14133118020830715,
      0.1396161680550085,
      0.13792298971217004,
      0.13625135316628725,
      0.1346009734691586,
      0.13297157158472064,
      0.13136287377739084,
      0.12977461097983603,
      0.12820651833512636,
      0.12665833500702958,
      0.12512980399042004,
      0.1236206719467635,
      0.12213068910882925,
      0.12065960919052678,
      0.1192071891426469,
      0.11777318926268214,
      0.11635737311186589,
      0.11495950742376512,
      0.11357936201730778,
      0.11221670966223334,
      0.1108713261837399,
      0.10954299042426457,
      0.10823148413293873,
      0.10693659190275509,
      0.10565810119386441,
      0.10439580219455766,
      0.10314948793339337,
      0.10191895410826612,
      0.10070399921094479,
      0.09950442426053828,
      0.09832003292706859,
      0.09715063144816906,
      0.09599602856720128,
      0.09485603545475578,
      0.09373046590571936,
      0.0926191360048114,
      0.09152186427741452,
      0.09043847165137091,
      0.08936878130046857,
      0.08831261877559095,
      0.08726981183248915,
      0.08624019053467007,
      0.08522358711637662,
      0.08421983597443061,
      0.08322877357183593,
      0.08225023856881188,
      0.08128407170371063,
      0.08033011574228073,
      0.07938821546228311,
      0.07845821783356806,
      0.07753997167474588,
      0.07663332762815506,
      0.07573813846629081,
      0.07485425873437908,
      0.07398153797528143,
      0.07311978294896243,
      0.07226879444255414,
      0.07142839521040763,
      0.07059842352889614,
      0.06977872915178537,
      0.06896917010152515,
      0.06816961067865099,
      0.06737992014745521,
      0.06659997145010242,
      0.06582964063125976,
      0.06506880629058127,
      0.06431734927370056,
      0.0635751525276875,
      0.06284210078620212,
      0.06211808039486451,
      0.0614029794451737,
      0.06069668738994736,
      0.05999908165182713,
      0.05931000413253979,
      0.058629305871477966,
      0.057956853549151616,
      0.057292525147569384,
      0.05663620696823507,
      0.0559877913723361,
      0.055347175521041306,
      0.05471426013408069,
      0.054088948678898366,
      0.05347114692968969,
      0.05286076263057204,
      0.05225770519517349,
      0.05166188565428906,
      0.05107321631685515,
      0.05049161073509739,
      0.04991698357235209,
      0.049349250666086926,
      0.048788328980961075,
      0.04823413656934311,
      0.04768659242448462,
      0.04714561656323625,
      0.0466111299219298,
      0.0460830544782153,
      0.045561313170184276,
      0.0450458299019806,
      0.04453652946707208,
      0.04403333751328065,
      0.04353618065394007,
      0.043044986360409966,
      0.04255967131332688,
      0.042080130519111886,
      0.04160626613329438,
      0.041137992668075885,
      0.04067523338705145,
      0.04021791567092012,
      0.039765970133941064,
      0.03931932974874824,
      0.03887792953441136,
      0.03844170592124203,
      0.03801059682411818,
      0.03758454126353147,
      0.03716347921351343,
      0.036747351507529384,
      0.0363360999126549,
      0.0359296670742247,
      0.0355279962759352,
      0.03513103151113567,
      0.0347387175312721,
      0.03435099971603941,
      0.03396782408900936,
      0.033589137326212964,
      0.03321488674827757,
      0.03284502030224516,
      0.03247948662536492,
      0.03211823481889374,
      0.031761214637241506,
      0.03140837651737988,
      0.03105967138508208,
      0.030715050806644734,
      0.030374466948947174,
      0.030037872417803434,
      0.029705220483043616,
      0.02937646489251938,
      0.029051559964710386,
      0.02873046059142606,
      0.028413122105701048,
      0.02809950049531417,
      0.027789552214459282,
      0.027483234115239646,
      0.027180503669999374,
      0.02688131883363562,
      0.026585638060170884,
      0.026293420318419525,
      0.02600462499805283,
      0.025719211938305255,
      0.02543714147116178,
      0.025158374514218436,
      0.024882872334806645,
      0.024610596592426513,
      0.02434150951614831,
      0.024075573766292768,
      0.023812752510931373,
      0.023553009125705186,
      0.023296307552869776,
      0.023042612172814468,
      0.022791887779105003,
      0.022544099567688453,
      0.022299213115105434,
      0.022057194389993987,
      0.02181800984868307,
      0.021581626240157966,
      0.021348010711149785,
      0.021117130957329915,
      0.020888954891479485,
      0.020663450791404043,
      0.020440587415669204,
      0.02022033376978359,
      0.020002659315735395,
      0.019787533839333214,
      0.019574927459126496,
      0.01936481063646939,
      0.019157154326968507,
      0.01895192966291942,
      0.01874910813928996,
      0.01854866156546342,
      0.01835056215833436,
      0.018154782414333055,
      0.017961295160602877,
      0.01777007356924052,
      0.017581091103045,
      0.01739432146881081,
      0.017209738787667597,
      0.017027317461818205,
      0.01684703218868907,
      0.0166688578743416,
      0.016492769840508136,
      0.016318743594159867,
      0.016146755068676924,
      0.015976780452953365,
      0.015808796123697195,
      0.015642778718086794,
      0.015478705213742026,
      0.015316552895805977,
      0.015156299287017389,
      0.01499792211666006,
      0.014841399335012207,
      0.014686709166805508,
      0.014533830197595726,
      0.014382741245202143,
      0.014233421378388263,
      0.014085849892064004,
      0.01394000625777772,
      0.013795870297729133,
      0.013653421984634843,
      0.013512641477769757,
      0.013373509254989606,
      0.013236006099742962,
      0.013100112962136883,
      0.012965810992303836,
      0.012833081523664382,
      0.012701906095164963,
      0.012572266512355431,
      0.012444144788733588,
      0.012317523196076942,
      0.012192384175829353,
      0.01206871034008494,
      0.011946484498881825,
      0.01182568970721607
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785858524223723,
      10.568506425921017,
      10.34193505438014,
      10.10897295149968,
      9.87212532537261,
      9.633533375132297,
      9.395090987667924,
      9.1584143750258,
      8.924880642730141,
      8.695619172551314,
      8.47149861989441,
      8.253128062125578,
      8.040868680907797,
      7.834855139654695,
      7.635025682671614,
      7.441158782773642,
      7.252908206479683,
      7.069837876543461,
      6.891454726834389,
      6.717237838516545,
      6.546663424867539,
      6.379224857889924,
      6.214443542772814,
      6.051884386304771,
      5.891170559866186,
      5.731995892913331,
      5.574127344591943,
      5.417399502117819,
      5.26171651961355,
      5.107058858051295,
      4.953479037721883,
      4.801088282593392,
      4.650051439836784,
      4.500595351176333,
      4.35300423250981,
      4.20760873185114,
      4.064773723140253,
      3.9248878596968675,
      3.7883624107171734,
      3.655609068189889,
      3.527012469286936,
      3.4029198307544672,
      3.283633234762852,
      3.1694040168027553,
      3.0604293352637333,
      2.956851231226099,
      2.8587619535747635,
      2.7661935762446515,
      2.679127173163673,
      2.5974982533492166,
      2.5211857034113985,
      2.4500102981173364,
      2.383733068613178,
      2.3220826083247186,
      2.2647644161301246,
      2.2114594458462022,
      2.1618108277747505,
      2.115422280335765,
      2.071899870976538,
      2.0308910748658406,
      1.9920464874679555,
      1.9550479762399295,
      1.9196446260538191,
      1.8856407849600705,
      1.85288096831073,
      1.8212391726514476,
      1.79060795261826,
      1.7608958243265147,
      1.7320295455929349,
      1.7039492582309825,
      1.6766023876683174,
      1.6499430616779192,
      1.6239328328432168,
      1.598538767558014,
      1.5737320900647864,
      1.54948721345031,
      1.5257814676767167,
      1.502594497192161,
      1.4799072322900104,
      1.4577016822032474,
      1.4359608279919727,
      1.4146685347474224,
      1.3938094784654997,
      1.3733691313698178,
      1.3533343039681893,
      1.333692701818248,
      1.314432327093885,
      1.2955415340858345,
      1.2770090604689623,
      1.2588240424342065,
      1.2409761516146705,
      1.2234559542921284,
      1.2062543625074988,
      1.1893624793623865,
      1.1727716422843837,
      1.1564734227396765,
      1.1404594454641936,
      1.124721818625981,
      1.1092538806138048,
      1.094049668699682,
      1.0791035056163718,
      1.0644096038404403,
      1.0499621078100807,
      1.0357551818150574,
      1.0217830677093391,
      1.008040122204335,
      0.9945208400623591,
      0.981219866690702,
      0.9681320056017092,
      0.9552522204428102,
      0.9425756344935206,
      0.9300975278705267,
      0.9178133341495709,
      0.9057186355122647,
      0.8938091582151657,
      0.8820807671217509,
      0.8705298840554099,
      0.8591537841024328,
      0.8479496159816802,
      0.8369143286374845,
      0.8260447669157726,
      0.8153377368328786,
      0.8047900478985025,
      0.7943985418925288,
      0.7841601114597383,
      0.7740717112022933,
      0.7641303650496759,
      0.7543331694538495,
      0.7446772953283153,
      0.7351604150929462,
      0.725780505097711,
      0.7165353302225249,
      0.7074225583259186,
      0.6984398413616061,
      0.6895848402004013,
      0.6808552412288154,
      0.6722487669794462,
      0.6637631824210116,
      0.6553962994676549,
      0.6471459789514739,
      0.6390101315861004,
      0.6309867178415539,
      0.6230737475878099,
      0.6152692788877079,
      0.607571417148587,
      0.5999783144932682,
      0.5924881677609806,
      0.5850992172333173,
      0.5778097454844615,
      0.5706180760342676,
      0.5635225722206557,
      0.55652163573915,
      0.5496137054423117,
      0.5427972561515014,
      0.5360707977421064,
      0.5294328738987701,
      0.5228820611567817,
      0.5164169675736463,
      0.510036232028175,
      0.5037385232364562,
      0.49752253882053876,
      0.4913870044596192,
      0.48533067312806827,
      0.4793523240684169,
      0.4734507621897871,
      0.46762481728454336,
      0.46187334324574714,
      0.45619521744011476,
      0.45058934016442115,
      0.44505463362828546,
      0.439590041559143,
      0.4341945287463347,
      0.4288670801958446,
      0.4236067008391998,
      0.4184124147560188,
      0.4132832647012509,
      0.4082183117341557,
      0.4032166346984141,
      0.3982773295802519,
      0.39339950917777394,
      0.3885823028041217,
      0.3838248556700697,
      0.3791263285579695,
      0.3744858974318176,
      0.3699027529345992,
      0.3653760471053726,
      0.360904722036846,
      0.3564877406757387,
      0.3521241700306945,
      0.34781315304147326,
      0.343553888994729,
      0.33934561939894753,
      0.3351876188253434,
      0.3310791880368377,
      0.3270196492044786,
      0.32300834240725107,
      0.3190446234164386,
      0.3151278618552945,
      0.31125743981757836,
      0.3074327510053246,
      0.30365319987487166,
      0.29991820133641206,
      0.29622718000228027,
      0.2925795698988449,
      0.2889748142596962,
      0.28541236522240493,
      0.2818916835317644,
      0.2784122729614933,
      0.2749739669899816,
      0.27157675373704065,
      0.26822047651531133,
      0.26490486477976843,
      0.26162957458209063,
      0.25839427558880373,
      0.25519864646869705,
      0.25204231221937906,
      0.24892485910177636,
      0.24584584851002872,
      0.24280482677287502,
      0.23980133191663686,
      0.23683489841987357,
      0.23390506042393724,
      0.23101135398446715,
      0.22815331836019517,
      0.2253304956457883,
      0.2225426182121586,
      0.21978953221094058,
      0.21707100801565646,
      0.2143867575959848,
      0.21173644433706687,
      0.20911970006572794,
      0.20653613700782425,
      0.20398535562709985,
      0.2014669501305966,
      0.19898051251489876,
      0.19652563492704955,
      0.19410191136685026,
      0.1917089390688122,
      0.18934631912357922,
      0.18701365701617806,
      0.184710562943334,
      0.18243665208966897,
      0.18019154469847634,
      0.17797490826169332,
      0.17578650138416044,
      0.17362606193295232,
      0.17149329627376342,
      0.16938789097940052,
      0.1673095206394669,
      0.16525785320094322,
      0.16323255363622519,
      0.16123328637255316,
      0.15925971695092597,
      0.1573115131109039,
      0.15538834557405717,
      0.15348988845161396,
      0.15161581962921902,
      0.1497658208112691,
      0.147939577798543,
      0.14613678050373133,
      0.1443570978967642,
      0.1426001826468577,
      0.14086570508172488,
      0.1391533508334048,
      0.137462817284564,
      0.13579381095350176,
      0.13414604587216306,
      0.13251924231373793,
      0.13091312598087862,
      0.1293274274917581,
      0.12776188197770405,
      0.12621622851771064,
      0.12469021005632847,
      0.12318357323850221,
      0.12169606830117485,
      0.12022744892548652,
      0.11877747218283687,
      0.11734589843492296,
      0.11593249122516007,
      0.11453701732692494,
      0.11315924650371925,
      0.11179895163498427,
      0.11045590871891438,
      0.10912989656122853,
      0.10782069703942179,
      0.10652809483033926,
      0.10525187749702677,
      0.10399183529276597,
      0.10274776127298145,
      0.10151945126431021,
      0.1003067038048731,
      0.09910931996029962,
      0.09792710350467865,
      0.09675986072912561,
      0.09560740038007869,
      0.09446953379681351,
      0.0933460748290375,
      0.09223683963608785,
      0.09114164683140077,
      0.09006031742565987,
      0.08899267469562286,
      0.08793854420101214,
      0.08689775375225799,
      0.0858701334879625,
      0.08485551573799668,
      0.08385373494222488,
      0.08286462768174403,
      0.08188803264775622,
      0.0809237907197691,
      0.07997174479418112,
      0.07903173976649473,
      0.07810362255247413,
      0.07718724200531152,
      0.07628244898939328,
      0.07538909628634802,
      0.07450703855905855,
      0.07363613230663175,
      0.07277619603050116,
      0.07192702547264723,
      0.07108843926323621,
      0.07026027293418649,
      0.06944237421472452,
      0.06863459988161962,
      0.067836813378732,
      0.06704888320984445,
      0.06627068195833573,
      0.0655020854400462,
      0.06474297215128562,
      0.06399322300106981,
      0.06325272080080342,
      0.06252135030511947,
      0.06179899785287879,
      0.061085551532768595,
      0.06038090089065056,
      0.05968493672261082,
      0.058997517708986716,
      0.058318485621997575,
      0.05764770076245237,
      0.05698503674286238,
      0.05633037674072789,
      0.055683611057977894,
      0.05504463529046884,
      0.05441334913424412,
      0.05378965544355669,
      0.053173459555167994,
      0.05256466896591798,
      0.051963192913385296,
      0.05136894227202753,
      0.05078182929306906,
      0.05020176752793719,
      0.04962867173440154,
      0.049062457774380584,
      0.04850304259889357,
      0.04795034429436667,
      0.04740428200902966,
      0.04686477577552247,
      0.04633174669930075,
      0.045805116829901286,
      0.04528480915667459,
      0.044770747557222504,
      0.04426285686687652,
      0.04376106298388751,
      0.04326529261893684,
      0.04277547333099202,
      0.04229153353787238,
      0.04181339139582134,
      0.0413409433494333,
      0.04087409505264897,
      0.040412763579042284,
      0.039956871974800946,
      0.039506347899914585,
      0.03906112227118558,
      0.03862112844250393,
      0.03818630196734782,
      0.03775658006743307,
      0.03733190118104881,
      0.036912205037838035,
      0.036497432388593265,
      0.03608752482166304,
      0.03568242481496917,
      0.03528207574671799,
      0.03488642163612226,
      0.03449540720799618,
      0.03410897791851948,
      0.033727079866264234,
      0.0333496597852355,
      0.032976665043515326,
      0.032608043692025496,
      0.03224374440784512,
      0.03188371646220671,
      0.03152790968760142,
      0.031176274510705745,
      0.030828762013082902,
      0.030485323790784474,
      0.030145912000393973,
      0.029810479445559323,
      0.02947897947185959,
      0.029151365867075847,
      0.028827592998592517,
      0.028507615758675168,
      0.02819138962681056,
      0.02787887065444133,
      0.027570015385233224,
      0.02726478079639652,
      0.026963124410207692,
      0.02666500428041206,
      0.02637037886304256,
      0.02607920712739964,
      0.0257914485830038,
      0.025507063229296075,
      0.02522601150396383,
      0.024948254258457103,
      0.024673752862339728,
      0.024402469144280434,
      0.024134365417481096,
      0.023869404408405688,
      0.023607549206296277,
      0.023348763404772127,
      0.023093010984756836,
      0.022840256313278427,
      0.022590464201108707,
      0.022343599981259135,
      0.02209962930303339,
      0.021858518271100257,
      0.021620233433521117,
      0.021384741529890526,
      0.02115200983798866,
      0.020922005975585335,
      0.02069469801545951,
      0.02047005431549951,
      0.020248043630087708,
      0.020028635172406162,
      0.019811798340745288,
      0.019597502935958626,
      0.019385719157448893,
      0.019176417569072627,
      0.01896956908560066,
      0.018765144922344754,
      0.01856311664116738,
      0.018363456172672692,
      0.018166135744384557,
      0.017971127937183168,
      0.01777840567328297,
      0.017587942103658057,
      0.017399710776315212,
      0.01721368550076818,
      0.017029840448865154,
      0.016848149996313313,
      0.016668588933930178,
      0.016491132317778837,
      0.0163157554604583,
      0.01614243402519072,
      0.015971143879351054,
      0.015801861190714535,
      0.015634562505926906,
      0.015469224499152704,
      0.015305824230700057,
      0.0151443389551781,
      0.014984746197640595,
      0.014827023767291055,
      0.014671149765834522,
      0.014517102507902857,
      0.014364860595080017,
      0.014214402838240681,
      0.014065708352691868,
      0.013918756558707047,
      0.01377352696734904,
      0.01362999939278803,
      0.013488153879367887,
      0.013347970744175151,
      0.013209430366186724,
      0.013072513548431036,
      0.012937201276959015,
      0.01280347473561881,
      0.012671315352830547,
      0.012540704779782754,
      0.012411624843822786,
      0.012284057591771418,
      0.012157985321015714,
      0.012033390542016081,
      0.011910255916038195,
      0.011788564307982856,
      0.011668298789151292
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785853530632414,
      10.568483172221558,
      10.341883344711853,
      10.108886242683903,
      9.872000478589644,
      9.633368837255171,
      9.394886576594683,
      9.15817095907415,
      8.92459961434346,
      8.695302301962515,
      8.471147796962043,
      8.252745203716747,
      8.040455445746584,
      7.83441278241512,
      7.634555151595005,
      7.44066071936468,
      7.252382969676657,
      7.069285587676862,
      6.890875331480719,
      6.716631175563681,
      6.5460293012941015,
      6.378563029673152,
      6.2137537100302955,
      6.051166460827538,
      5.890424728888167,
      5.7312228074385265,
      5.573328113621838,
      5.416575687808548,
      5.260870186428118,
      5.1061925015681116,
      4.952595849333408,
      4.8001919400354955,
      4.64914592194925,
      4.499684973353314,
      4.352093583391715,
      4.206702592624054,
      4.0638769738735,
      3.924005537747901,
      3.787499860858817,
      3.6547714064843007,
      3.526204354714412,
      3.402145390281246,
      3.282896007053127,
      3.1687069134587187,
      3.05977462322744,
      2.9562405329972075,
      2.8581961421806428,
      2.7656726789223445,
      2.6786506860185355,
      2.597064796488597,
      2.5207928283510332,
      2.4496543386067793,
      2.3834099348976743,
      2.321787986475313,
      2.264493983474842,
      2.211208703131828,
      2.161575037465567,
      2.115196469904683,
      2.0716796683258045,
      2.0306724862882386,
      1.9918258479203663,
      1.954822477132602,
      1.9194122162177918,
      1.8853999931991865,
      1.8526307467889667,
      1.8209787958532089,
      1.7903368749925046,
      1.7606137027965798,
      1.7317362104795406,
      1.7036446885230783,
      1.6762866860626282,
      1.649616375711354,
      1.6235953406396129,
      1.5981906674886999,
      1.573373593113879,
      1.549118537476619,
      1.5254026633847189,
      1.5022055923358932,
      1.4795083119563954,
      1.4572928702969878,
      1.4355422736404178,
      1.4142404033235079,
      1.393371945244806,
      1.3729223873810763,
      1.352878558073597,
      1.3332281554183754,
      1.3139591745465689,
      1.295059963346564,
      1.2765192532868257,
      1.2583261744543701,
      1.2404704272258142,
      1.2229426005743351,
      1.205733582822632,
      1.1888344591699076,
      1.1722365530002654,
      1.155931451155703,
      1.139910843089677,
      1.1241668452962785,
      1.1086928068789386,
      1.0934829147392635,
      1.0785314556256462,
      1.0638325539429427,
      1.0493802929570264,
      1.035168793505892,
      1.021192267032197,
      1.0074450487712059,
      0.9939216179190873,
      0.9806166090914054,
      0.9675248175346364,
      0.9546412006912615,
      0.9419608771836285,
      0.9294791237109543,
      0.9171913708048028,
      0.9050931983310249,
      0.8931803303473717,
      0.8814486301946126,
      0.8698946963089226,
      0.8585158213383968,
      0.8473090881211122,
      0.8362713999959541,
      0.8253995705749795,
      0.8146903835446824,
      0.8041406328491397,
      0.793747149391924,
      0.7835068180758918,
      0.7734165882116495,
      0.7634734794472225,
      0.7536745853564164,
      0.7440170745019485,
      0.7344989107909998,
      0.7251181034263737,
      0.7158723098375203,
      0.7067591225973582,
      0.6977761416765302,
      0.6889209918650353,
      0.6801913345571486,
      0.6715848749204347,
      0.663099365891048,
      0.6547326110133108,
      0.646482465261953,
      0.6383468349642905,
      0.6303236774518796,
      0.6224110003573626,
      0.6146068601908641,
      0.6069093614804499,
      0.5993166550656803,
      0.591826936953848,
      0.5844384466553589,
      0.5771494662037957,
      0.5699583186234755,
      0.5628633667689275,
      0.5558630119085795,
      0.5489556924153366,
      0.5421398828006061,
      0.5354140924621873,
      0.5287768645603464,
      0.5222267750266455,
      0.5157624317629357,
      0.5093824731208955,
      0.5030855673949494,
      0.4968704119357928,
      0.4907357319141911,
      0.48468027978184675,
      0.4787028344418462,
      0.4728022003614557,
      0.4669772068598364,
      0.46122670736996185,
      0.45554957885737585,
      0.4499447210926828,
      0.4444110560103018,
      0.43894752702905,
      0.4335530985147505,
      0.4282267551843619,
      0.42296750130145305,
      0.4177743606306985,
      0.412646375680368,
      0.4075826070982477,
      0.40258213319809827,
      0.3976440495923262,
      0.39276746878038254,
      0.3879515196696564,
      0.38319534710638975,
      0.37849811139233597,
      0.3738589881195583,
      0.3692771675615105,
      0.3647517761033028,
      0.3602817318545485,
      0.3558660134639683,
      0.35150369854116936,
      0.3471939373215394,
      0.34293593395812755,
      0.3387289333152167,
      0.33457221216243616,
      0.3304650727037741,
      0.32640683796264613,
      0.32239684858770845,
      0.3184344605611074,
      0.31451904353496785,
      0.31064997952431506,
      0.306826662055408,
      0.30304849549999074,
      0.2993148944038012,
      0.2956252830880273,
      0.2919790953453616,
      0.2883757740651938,
      0.28481477106767505,
      0.2812955466764293,
      0.27781762580514424,
      0.2743809100154315,
      0.2709853746986154,
      0.26763083804984406,
      0.26431701186771844,
      0.26104354592076606,
      0.25781011824177014,
      0.2546163981875391,
      0.2514620000584684,
      0.24834650232519398,
      0.24526946102274927,
      0.24223041863998232,
      0.23922891053580356,
      0.23626446922431366,
      0.23333662736033164,
      0.23044491984412324,
      0.22758888514260353,
      0.22476813859357542,
      0.221982514738172,
      0.2192318093376628,
      0.2165157577982818,
      0.21383404007329251,
      0.21118629739601627,
      0.20857214639561825,
      0.20599118860396312,
      0.20344301718391697,
      0.20092722141356892,
      0.19844338969489336,
      0.19599111159430974,
      0.19356997945805515,
      0.19117958943022126,
      0.18881954177659405,
      0.18648944139323612,
      0.18418889810782735,
      0.1819175267753512,
      0.1796749732358699,
      0.1774609857046267,
      0.17527530567394392,
      0.17311764047901324,
      0.17098767579303398,
      0.1688850839858985,
      0.1668095299452058,
      0.1647606749856855,
      0.16273817947955455,
      0.16074170480336142,
      0.15877091439896948,
      0.15682547460812626,
      0.15490505522703105,
      0.15300932970637912,
      0.15113797544357513,
      0.14929067390113526,
      0.14746711079367372,
      0.1456669758924091,
      0.14388995348918487,
      0.1421356985303247,
      0.14040387569610738,
      0.13869416674692184,
      0.1370062662859278,
      0.1353398791522149,
      0.13369471808532726,
      0.13207050267044634,
      0.13046695810355338,
      0.12888381459862217,
      0.12732080703430318,
      0.12577767431071046,
      0.12425415930415161,
      0.12275000872078565,
      0.12126497275868178,
      0.11979880503599905,
      0.11835126266377434,
      0.1169221060119447,
      0.11551109867065311,
      0.11411800747925707,
      0.11274260234979597,
      0.1113846562915698,
      0.11004394527405423,
      0.10872024826517984,
      0.10741334705702614,
      0.10612302641273721,
      0.10484907401959341,
      0.1035912802361459,
      0.10234943819810464,
      0.10112334376817982,
      0.0999127955144806,
      0.09871759464103967,
      0.09753754489539675,
      0.09637245259321074,
      0.09522212670912084,
      0.09408637862679056,
      0.0929650221966156,
      0.09185787370652901,
      0.09076475179754537,
      0.0896854775659877,
      0.0886198744007722,
      0.08756776798133288,
      0.08652898621389404,
      0.08550335923293634,
      0.08449071944218198,
      0.08349090132205295,
      0.08250374164234762,
      0.0815290791421162,
      0.08056675476399748,
      0.07961661149233504,
      0.07867849428472529,
      0.07775225008053427,
      0.07683772784535327,
      0.07593477846046032,
      0.07504325482944747,
      0.0741630116260454,
      0.07329390550693611,
      0.07243577034980345,
      0.07158840394848168,
      0.07075161961816454,
      0.06992524922332818,
      0.06910913804852344,
      0.0683031411427693,
      0.06750712079896964,
      0.06672094477984025,
      0.0659444851947029,
      0.06517761750401638,
      0.06442022002033691,
      0.06367217342635077,
      0.06293336055313746,
      0.06220366615069696,
      0.06148297657975512,
      0.060771179856404955,
      0.06006816557560491,
      0.05937382484402583,
      0.05868803964525119,
      0.058010655547733096,
      0.05734152453872932,
      0.05668051442546977,
      0.05602750435321654,
      0.055382381852857585,
      0.05474504064941821,
      0.054115379073342726,
      0.053493299001570405,
      0.05287870522907281,
      0.05227150492465783,
      0.0516716070610045,
      0.05107892220457286,
      0.05049336259786878,
      0.049914841720118314,
      0.049343274396775015,
      0.04877857648757459,
      0.04822066497007459,
      0.04766945802101706,
      0.04712487474904599,
      0.046586835281067634,
      0.046055260846135725,
      0.045530073577019894,
      0.04501119656042509,
      0.04449855378892162,
      0.043992070189745984,
      0.04349167172038595,
      0.04299728513115049,
      0.04250883797589856,
      0.04202625882915492,
      0.041549477033173014,
      0.04107841291693585,
      0.040612966745137875,
      0.04015304663082234,
      0.039698569377190525,
      0.03924945818477685,
      0.03880564087313942,
      0.038367048804225166,
      0.03793361604221215,
      0.03750527866061144,
      0.03708197443874375,
      0.036663642520399824,
      0.036250223395804373,
      0.035841658526153994,
      0.035437890318808646,
      0.035038862013709496,
      0.03464451756981552,
      0.0342548016849098,
      0.03386965983086155,
      0.033489038170986155,
      0.03311288355971055,
      0.032741143535262064,
      0.03237376615287037,
      0.03201070013492221,
      0.031651894749853124,
      0.03129730001478821,
      0.030946866452388096,
      0.030600545170981635,
      0.030258287851415735,
      0.029920046787276895,
      0.02958577478729286,
      0.029255425219806057,
      0.028928952005301715,
      0.02860630959517783,
      0.028287453028954385,
      0.027972337879274,
      0.027660920202057244,
      0.02735315645038232,
      0.02704900389270987,
      0.026748420086005417,
      0.026451363062834986,
      0.02615779142781217,
      0.025867664319622657,
      0.025580941263818623,
      0.025297582262407428,
      0.02501754785368247,
      0.024740799002060554,
      0.024467297094852982,
      0.02419700402955176,
      0.02392988218552664,
      0.02366589432744827,
      0.023405003694969815,
      0.023147173865106552,
      0.022892368927611425,
      0.02264055336323852,
      0.022391692095690967,
      0.022145750404942186,
      0.02190269402012692,
      0.0216624891382304,
      0.0214251022914176,
      0.021190500374905965,
      0.02095865069391508,
      0.020729520937173944,
      0.020503079239738035,
      0.020279294016613124,
      0.02005813409350927,
      0.019839568660909513,
      0.019623567223265793,
      0.019410099689504703,
      0.01919913643952891,
      0.018990648049063277,
      0.01878460542224993,
      0.018580979862297408,
      0.0183797429907011,
      0.01818086678222736,
      0.017984323569606303,
      0.017790085935064863,
      0.01759812685727624,
      0.017408419611743064,
      0.017220937761385915,
      0.017035655186537695,
      0.016852546103442955,
      0.016671585013898364,
      0.016492746688069396,
      0.016316006218159516,
      0.016141338997112193,
      0.015968720672862907,
      0.01579812719930319,
      0.015629534862834103,
      0.015462920157417303,
      0.015298259883315344,
      0.01513553113883354,
      0.014974711179491876,
      0.01481577764057338,
      0.01465870843672378,
      0.014503481675167436,
      0.014350075728979995,
      0.014198469285877062,
      0.01404864114364784,
      0.013900570464175241,
      0.013754236672596917,
      0.013609619402012725,
      0.01346669848357766,
      0.01332545402008431,
      0.01318586635237471,
      0.013047915995026593,
      0.012911583769648067,
      0.012776850723384199,
      0.012643698092695606,
      0.012512107338037043,
      0.012382060077216242,
      0.012253538216993997,
      0.012126523875746574,
      0.012000999306828361,
      0.011876947147126058,
      0.011754350126083798,
      0.011633191201740903,
      0.0115134533982423
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785848751477955,
      10.568460543440857,
      10.341832625138242,
      10.108800846350636,
      9.871877230530814,
      9.63320615320815,
      9.394684186332945,
      9.157929711505105,
      8.92432088369363,
      8.694987842135264,
      8.47079948265976,
      8.252364940129988,
      8.040044883505367,
      7.83397316897988,
      7.634087429929601,
      7.440165528408471,
      7.2518606674992805,
      7.068736297106657,
      6.890298999851778,
      6.716027646111656,
      6.5453983854294915,
      6.377904488383609,
      6.213067249831448,
      6.050451999493091,
      5.889682456891201,
      5.730453377943823,
      5.572532636071705,
      5.415755724003627,
      5.26002780095739,
      5.105330186967521,
      4.951716794929345,
      4.799299820034752,
      4.648244709987028,
      4.498778976563776,
      4.3511873790601,
      4.205800948546067,
      4.062984754928882,
      3.9231277647355856,
      3.7866418592091695,
      3.6539382720541194,
      3.5254007258743876,
      3.4013753740953487,
      3.282163122283542,
      3.168014053742199,
      3.059124039143076,
      2.9556338338389887,
      2.8576341903380835,
      2.7651554926049178,
      2.678177754120568,
      2.596634734839907,
      2.5204031877292996,
      2.4493014548518826,
      2.3830897228834886,
      2.3214961392263334,
      2.264226186467108,
      2.2109604677449415,
      2.1613416384115838,
      2.1149729492860168,
      2.071461667001954,
      2.0304560243275307,
      1.9916072756813261,
      1.9545989992927049,
      1.9191817924880727,
      1.8851611611687638,
      1.8523824659185726,
      1.8207203373073368,
      1.7900676917129539,
      1.7603334608949937,
      1.731444747480189,
      1.7033419882127188,
      1.67597285489341,
      1.6492915642818629,
      1.6232597296394078,
      1.597844457252884,
      1.5730169957306965,
      1.5487517708433312,
      1.5250258203599905,
      1.501818688611804,
      1.4791114241766794,
      1.4568861158115929,
      1.4351257977735767,
      1.4138143689199876,
      1.3929365254093955,
      1.3724777715306016,
      1.3524249539638664,
      1.3327657635420076,
      1.3134881887532275,
      1.2945805711254348,
      1.2760316360624182,
      1.257830508450076,
      1.2399669332179997,
      1.2224315006171067,
      1.2052150765766125,
      1.1883087292538952,
      1.1717037691510002,
      1.1553917728898684,
      1.1393645078074606,
      1.1236141251961183,
      1.1081340709752057,
      1.0929186210468846,
      1.0779619518303647,
      1.0632581111759987,
      1.0488011280749674,
      1.0345850860685446,
      1.0206041701334243,
      1.0068526966869042,
      0.993325130987943,
      0.9800160975650141,
      0.9669203846551826,
      0.9540329442897136,
      0.9413488907146116,
      0.9288634971840874,
      0.9165721914604137,
      0.9044705511112342,
      0.8925542985704591,
      0.880819301111846,
      0.8692623310148861,
      0.8578806925696432,
      0.8466714039283804,
      0.835631323454661,
      0.824757233643145,
      0.8140458961158975,
      0.8034940897675463,
      0.7930986349868268,
      0.78285640903985,
      0.7727643555415602,
      0.7628194900121597,
      0.7530189029935291,
      0.7433598747536398,
      0.7338405976757973,
      0.7244590094415798,
      0.7152126766863012,
      0.7060991281375857,
      0.697115919589008,
      0.6882606452901995,
      0.679530945340361,
      0.6709245102211374,
      0.6624390827839751,
      0.6540724593495744,
      0.645822489739151,
      0.6376870768185094,
      0.6296641752428395,
      0.6217517905607365,
      0.613947978083307,
      0.6062508409969934,
      0.598658529283181,
      0.5911692382344832,
      0.583781206858594,
      0.5764927165347268,
      0.5693020897278218,
      0.5622076886934588,
      0.555207914079103,
      0.548301203912955,
      0.5414860324785722,
      0.5347609087263445,
      0.5281243753207238,
      0.5215750077188912,
      0.5151114134397875,
      0.5087322305880206,
      0.5024361268580304,
      0.49622179922598547,
      0.4900879724024522,
      0.4840333984909404,
      0.4780568559236172,
      0.47215714869545183,
      0.46633310582415066,
      0.46058358030173746,
      0.45490744863468885,
      0.4493036102382152,
      0.4437709865609541,
      0.4383085206035585,
      0.43291517622331066,
      0.4275899376348618,
      0.42233180900691947,
      0.4171398135737747,
      0.4120129934064564,
      0.40695040872778226,
      0.40195113756095957,
      0.3970142751287549,
      0.39213893351408635,
      0.3873242411760698,
      0.3825693426544432,
      0.37787339777699197,
      0.3732355817438991,
      0.3686550844638596,
      0.36413099251955106,
      0.3596622194115278,
      0.355247757648864,
      0.35088669450717774,
      0.3465781866922736,
      0.34232144277266524,
      0.33811571072436186,
      0.3339602692994636,
      0.3298544219163191,
      0.32579749236492994,
      0.32178882157525157,
      0.31782776583315747,
      0.313913694747271,
      0.31004599014328155,
      0.3062240455021249,
      0.30244726487247203,
      0.29871506252685226,
      0.2950268624331777,
      0.29138209822743333,
      0.28778021248058405,
      0.28422065655518863,
      0.2807028906070972,
      0.2772264797748717,
      0.27379138417772686,
      0.2703975469336487,
      0.2670447639377275,
      0.2637327314866593,
      0.26046110124240185,
      0.2572295563081645,
      0.25403775231342773,
      0.25088529419022115,
      0.24777175371953258,
      0.24469668209765547,
      0.24165961846231757,
      0.2386600957351993,
      0.235697644616561,
      0.2327717965245836,
      0.22988208533758275,
      0.2270280487993933,
      0.22420944599174442,
      0.22142612190769356,
      0.21867783135694285,
      0.21596427324221132,
      0.21328509966516762,
      0.21063993265262462,
      0.2080283755263608,
      0.205450020640891,
      0.2029044547907278,
      0.20039126279154482,
      0.1979100299872738,
      0.19546034399793824,
      0.19304179569034613,
      0.19065397993513772,
      0.18829649635733509,
      0.18596894938335257,
      0.18367094843779017,
      0.18140212311744378,
      0.1791622017878991,
      0.17695093105421772,
      0.17476801987290483,
      0.17261315329646998,
      0.1704860017645295,
      0.16838622728501274,
      0.16631348769431337,
      0.1642674395339974,
      0.1622477399560212,
      0.1602540480138528,
      0.15828602566935682,
      0.15634333818852628,
      0.1544256546846284,
      0.15253264818145806,
      0.15066399580799195,
      0.14881937888315888,
      0.14699848289798467,
      0.14520099761136648,
      0.143426615632512,
      0.14167500389648477,
      0.13994582047093151,
      0.13823874272715608,
      0.13655346232589705,
      0.13488968197520815,
      0.13324711311820148,
      0.1316254742620953,
      0.13002449002485678,
      0.12844389024095224,
      0.1268834093961605,
      0.12534278629389364,
      0.12382176372957303,
      0.12232008833694778,
      0.12083751030068397,
      0.11937378333481466,
      0.11792866459020128,
      0.11650191443308444,
      0.1150932965587555,
      0.11370257782969367,
      0.11232952828343737,
      0.11097392087093018,
      0.10963553160531199,
      0.10831413951743565,
      0.10700952653853361,
      0.10572147757119546,
      0.10444978027745828,
      0.10319422504809478,
      0.1019546051401126,
      0.10073071648062826,
      0.0995223577280709,
      0.09832933012637037,
      0.09715143755880523,
      0.09598848647114586,
      0.09484028579112178,
      0.09370664693891996,
      0.09258738386571891,
      0.0914823129991243,
      0.09039125307662847,
      0.08931402517156452,
      0.0882504527336825,
      0.0872003615235972,
      0.08616357950476662,
      0.08513993700373375,
      0.08412926641170279,
      0.08313140238936886,
      0.08214618171099122,
      0.08117344320840716,
      0.08021302786229238,
      0.07926477870075821,
      0.07832854072140277,
      0.07740416104953499,
      0.07649148874756376,
      0.07559037479397336,
      0.07470067213604199,
      0.07382223550795014,
      0.0729549215576576,
      0.07209857750785596,
      0.07125300631701109,
      0.07041801575073013,
      0.06959343381981517,
      0.06877910307869169,
      0.06797487672685155,
      0.06718061587114219,
      0.0663961874543312,
      0.06562146302048577,
      0.06485631772688656,
      0.06410062960509653,
      0.06335427924017199,
      0.06261714941786821,
      0.061889124764644074,
      0.061170091687033884,
      0.060459938330435364,
      0.059758554302864,
      0.05906583076027196,
      0.058381660265462695,
      0.05770590794545537,
      0.05703841834270479,
      0.056379052326946455,
      0.0557276842613978,
      0.05508419826513119,
      0.05444848571254675,
      0.0538204433075229,
      0.05319997192311901,
      0.05258697559674172,
      0.05198136091636713,
      0.05138303661353511,
      0.05079191319328539,
      0.050207902656708346,
      0.049630918487024854,
      0.04906087545672119,
      0.04849768947769573,
      0.047941277653117745,
      0.047391558133288186,
      0.046848450112435186,
      0.04631187374037972,
      0.04578175032412756,
      0.045258001977044306,
      0.04474055186941667,
      0.04422932412020132,
      0.0437242437497983,
      0.04322523669995396,
      0.04273222983467416,
      0.04224515084306394,
      0.04176392834259619,
      0.04128849178546479,
      0.040818771482575934,
      0.04035469261659448,
      0.03989615876942154,
      0.03944307777023589,
      0.03899536634030429,
      0.038552947726321216,
      0.038115750084355034,
      0.03768370518824497,
      0.037256747667340794,
      0.03683481427107424,
      0.03641784348544767,
      0.03600577522942551,
      0.03559855064257958,
      0.03519611194453057,
      0.03479840217096872,
      0.034405365291781384,
      0.03401694604934385,
      0.03363308987309215,
      0.03325374296859241,
      0.03287885230458935,
      0.03250836533254814,
      0.03214223021716032,
      0.03178039573866038,
      0.031422811312148365,
      0.031069426920246314,
      0.03072019320378069,
      0.03037506134192615,
      0.030033983182828645,
      0.029696910997730867,
      0.02936379762844619,
      0.029034596601798298,
      0.02870926186843555,
      0.028387748064772244,
      0.028070010211407967,
      0.027756003985728764,
      0.027445685554737493,
      0.027139011581715465,
      0.026835939164787014,
      0.026536425933007524,
      0.02624043008081507,
      0.02594791034762853,
      0.025658825872122232,
      0.025373136302753382,
      0.025090801700082578,
      0.024811782628689334,
      0.024536040142508476,
      0.024263535705519736,
      0.023994231346314225,
      0.023728089439226708,
      0.02346507277342314,
      0.023205144604226857,
      0.022948268674685548,
      0.022694409168930285,
      0.02244353061633593,
      0.022195597962664307,
      0.021950576597979304,
      0.02170843237382351,
      0.02146913147562337,
      0.02123264058299489,
      0.02099892661178516,
      0.020767956959895806,
      0.020539699379416493,
      0.02031412203480465,
      0.020091193346247673,
      0.019870882241253177,
      0.01965315802647256,
      0.01943799029285534,
      0.019225349031777,
      0.019015204466615216,
      0.018807527330398994,
      0.018602288585605406,
      0.01839945964115699,
      0.01819901222766398,
      0.018000918426424362,
      0.017805150604585693,
      0.01761168136406255,
      0.017420483713996387,
      0.017231531003070042,
      0.017044796764097245,
      0.016860254991945534,
      0.016677879939705247,
      0.01649764618326296,
      0.016319528546926552,
      0.016143502189212698,
      0.01596954255627617,
      0.01579762540655663,
      0.01562772674741969,
      0.015459822849263238,
      0.015293890305184755,
      0.015129905926248821,
      0.01496784682251869,
      0.014807690440289841,
      0.014649414391040214,
      0.014492996598938294,
      0.014338415265192537,
      0.01418564885249268,
      0.014034676038637976,
      0.01388547577926935,
      0.013738027193495832,
      0.013592309685512529,
      0.013448302940141313,
      0.013305986887627798,
      0.01316534168853972,
      0.01302634780874335,
      0.01288898580257343,
      0.012753236497470108,
      0.012619080899748095,
      0.012486500355346111,
      0.012355476279419528,
      0.012225990452478413,
      0.012098024859703427,
      0.011971561613915244,
      0.011846583146353036,
      0.011723072004041924,
      0.011601010889446164,
      0.011480382808920275,
      0.011361170891436808
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.78584399175302,
      10.568437985332814,
      10.341782041803278,
      10.108715662990644,
      9.871754277774516,
      9.633043850121375,
      9.394482263541194,
      9.157689019797349,
      8.924042772228972,
      8.694674042591647,
      8.470451866440259,
      8.251985400475036,
      8.039635013896236,
      7.833534230472338,
      7.6336203789227515,
      7.43967101652462,
      7.251339063606811,
      7.068187734931094,
      6.889723437935793,
      6.71542493540775,
      6.544768344651288,
      6.377246885754363,
      6.212381797430187,
      6.049738618349125,
      5.888941343124919,
      5.729685190040953,
      5.571738488217044,
      5.414937181674031,
      5.259186930730653,
      5.104469483626776,
      4.950839448417395,
      4.7984095048465,
      4.647345399186884,
      4.49787497447235,
      4.350283258938602,
      4.2049014727044,
      4.062094780998226,
      3.922252302838982,
      3.785786222638978,
      3.653107543774216,
      3.5245995306607263,
      3.4006078055275495,
      3.281432685982249,
      3.1673236302801864,
      3.0584758670679593,
      2.9550295105025572,
      2.85707456754553,
      2.7646405787968833,
      2.677707030742358,
      2.5962068123809177,
      2.5200156132819855,
      2.4489505616918157,
      2.3827714254087256,
      2.321206133376456,
      2.2639601620921614,
      2.2107139416048884,
      2.161109890278727,
      2.114751026973902,
      2.0712452189772352,
      2.030241078579027,
      1.9913901918664259,
      1.9543769893726621,
      1.9189528225321741,
      1.8849237743027842,
      1.8521356258931354,
      1.8204633189262358,
      1.7897999512515255,
      1.7600546673308124,
      1.7311547401696072,
      1.7030407526511402,
      1.6756604990124968,
      1.648968239673411,
      1.6229256174470077,
      1.5974997575215018,
      1.5726619208864552,
      1.5483865400534897,
      1.5246505666801056,
      1.5014334151557842,
      1.4787161995111278,
      1.4564810517778588,
      1.4347110351789853,
      1.4133900674899569,
      1.3925028567801903,
      1.372034923774263,
      1.3519731338180117,
      1.3323051708064049,
      1.3130190167566238,
      1.2941030068545434,
      1.2755458606601493,
      1.2573366974172016,
      1.2394653067762433,
      1.2219222807378964,
      1.2046984630041073,
      1.1877849050594664,
      1.1711729041302263,
      1.154854026682435,
      1.1388200845706509,
      1.1230633205226954,
      1.10757734550292,
      1.092356405348233,
      1.0773945750744545,
      1.0626858316075485,
      1.048224154459854,
      1.0340035919102246,
      1.0200183041876922,
      1.0062625897868878,
      0.9927309016304894,
      0.9794178550943162,
      0.9663182313208097,
      0.9534269771464245,
      0.940739202858638,
      0.9282501783262139,
      0.915955328803486,
      0.903850229718565,
      0.8919306010724397,
      0.8801924009479863,
      0.868632533124587,
      0.8572482266701131,
      0.8460364484076848,
      0.8349940209911741,
      0.8241177020620793,
      0.8134042363379596,
      0.8028503902561522,
      0.7924529753999136,
      0.7822088627893412,
      0.772114991368253,
      0.7621683734437942,
      0.7523660972830105,
      0.7427055845540749,
      0.7331852412916149,
      0.7238029052579439,
      0.7145560568736994,
      0.7054421639197843,
      0.6964587398479181,
      0.6876033499591817,
      0.6788736143336439,
      0.6702672094506323,
      0.6617818682723644,
      0.6534153802648256,
      0.6451655904103692,
      0.6370303979933711,
      0.6290077552509503,
      0.621095665929442,
      0.6132921838619716,
      0.6055954111215139,
      0.5980034967777792,
      0.5905146353288803,
      0.5831270650710769,
      0.5758390670013521,
      0.5686489632706391,
      0.5615551156274063,
      0.5545559243172876,
      0.547649826810848,
      0.5408352967727642,
      0.5341108427457794,
      0.5274750069628648,
      0.5209263645972663,
      0.5144635226186898,
      0.5080851185139379,
      0.5017898197423689,
      0.4955763227608798,
      0.4894433521061911,
      0.4833896592343403,
      0.47741402216225537,
      0.47151524439060905,
      0.4656921545616057,
      0.45994360540497586,
      0.4542684730444024,
      0.4486656563863314,
      0.44313407656988324,
      0.4376726760733337,
      0.4322804182678223,
      0.42695628706510924,
      0.4216992861793048,
      0.41650843843642105,
      0.41138278548984725,
      0.4063213871814581,
      0.4013233211600914,
      0.39638768222545107,
      0.3915135820601944,
      0.38670014881786313,
      0.38194652651788225,
      0.3772518747061417,
      0.3726153681790101,
      0.3680361964934643,
      0.3635134067985474,
      0.35904590789733515,
      0.3546327060973874,
      0.35027289812580975,
      0.34596564712225963,
      0.34171016599535253,
      0.3375057057313959,
      0.3333515470895726,
      0.32924699462456986,
      0.32519137285172234,
      0.3211840232832162,
      0.31722430226228676,
      0.3133115794880585,
      0.30944523684467834,
      0.305624667443453,
      0.30184927515526133,
      0.29811847394635205,
      0.2944316876139665,
      0.2907883493370389,
      0.2871879013973254,
      0.28362979490611895,
      0.2801134896127037,
      0.27663860833146114,
      0.273205146271696,
      0.2698130163368144,
      0.2664619935234399,
      0.26315175962288334,
      0.2598819684937952,
      0.25665230854370213,
      0.2534624221582022,
      0.2503119047580885,
      0.24720032165748715,
      0.24412721952295377,
      0.24109213418154524,
      0.23809459623311793,
      0.23513413460244625,
      0.23221027936847086,
      0.22932256352590621,
      0.22647059814893722,
      0.22365424496454933,
      0.2208732965716052,
      0.2181274729683964,
      0.21541644116920927,
      0.21273983142799358,
      0.2100972507243183,
      0.20748829187419432,
      0.20491253995455355,
      0.20236957670205388,
      0.19985898350140474,
      0.1973803433055607,
      0.19493324204288898,
      0.1925172694148079,
      0.19013201955831854,
      0.18777709139823318,
      0.18545208898317295,
      0.18315662493500554,
      0.1808904068210989,
      0.17865318668002686,
      0.17644467549714857,
      0.17426455798452817,
      0.1721125027161491,
      0.16998816877249467,
      0.16789121045269742,
      0.16582128032108764,
      0.1637780312932011,
      0.16176111806197943,
      0.15977019807976955,
      0.15780493224666717,
      0.15586498509137997,
      0.1539500251520322,
      0.15205972527179484,
      0.15019376228320894,
      0.14835181738387068,
      0.14653357606031517,
      0.14473872794143544,
      0.14296696698202777,
      0.14121797569168867,
      0.13949141271274237,
      0.13778694983416273,
      0.1361042748836847,
      0.1344430878978136,
      0.13280309854435557,
      0.13118402418327033,
      0.12958558862222222,
      0.12800752119970898,
      0.1264495561666106,
      0.12491143205239064,
      0.12339289150327415,
      0.12189368101940472,
      0.12041355081926089,
      0.11895225463348962,
      0.11750954960553084,
      0.11608519622263218,
      0.11467895816236034,
      0.11329060231506081,
      0.11191989869576537,
      0.11056662036050778,
      0.1092305434344265,
      0.10791144697804185,
      0.10660911302914691,
      0.10532332656550333,
      0.1040538752868857,
      0.10280054960305418,
      0.1015631428795694,
      0.10034145108262947,
      0.09913527284650844,
      0.09794440958824868,
      0.0967686652312082,
      0.0956078462937997,
      0.09446176185309176,
      0.09333022340345327,
      0.09221304494578608,
      0.09111004299044054,
      0.09002103633342658,
      0.08894584608876147,
      0.08788429581825509,
      0.0868362112752527,
      0.085801420576436,
      0.08477975407609906,
      0.08377104428410512,
      0.08277512590877827,
      0.08179183586017065,
      0.08082101302873987,
      0.07986249842792205,
      0.07891613522638379,
      0.07798176857801419,
      0.07705924564067795,
      0.07614841545584418,
      0.07524912910216856,
      0.07436123950356038,
      0.07348460153654564,
      0.0726190720748155,
      0.07176450655687812,
      0.07092072009702147,
      0.07008751412256642,
      0.06926471245093842,
      0.06845215476761547,
      0.06764969219470338,
      0.06685718435422772,
      0.06607449732911151,
      0.0653015020592682,
      0.06453807318889676,
      0.06378408856090365,
      0.06303942863114152,
      0.06230397602954339,
      0.06157761538354659,
      0.06086023320041118,
      0.060151717597230286,
      0.059451958244004746,
      0.05876084632823137,
      0.05807827448726217,
      0.0574041292086344,
      0.0567382626562813,
      0.05608052674742291,
      0.055430789696032656,
      0.05478893148344714,
      0.05415484051795147,
      0.053528411446348206,
      0.052909543664044656,
      0.05229814023468583,
      0.05169410713879806,
      0.051097352660790664,
      0.0505077870745477,
      0.04992532218372877,
      0.04934987139286815,
      0.04878134930409988,
      0.04821967188491327,
      0.047664756192366986,
      0.047116520457993485,
      0.04657488404341951,
      0.04603976719669544,
      0.04551109115564983,
      0.044988778207333706,
      0.044472751630515575,
      0.04396293556548907,
      0.04345925512294592,
      0.04296163628321037,
      0.04247000594181291,
      0.04198429191120452,
      0.041504422874727234,
      0.041030328366422605,
      0.040561938855955854,
      0.04009918741709093,
      0.03964200360891847,
      0.03919029288296271,
      0.038743962466664957,
      0.03830292899874274,
      0.037867115952036054,
      0.037436451821029705,
      0.037010868888838235,
      0.03659030234912205,
      0.036174689572961424,
      0.03576396971167274,
      0.03535808336401532,
      0.034956972309227945,
      0.03456057948642572,
      0.03416884873366026,
      0.033781724698948495,
      0.033399152904135865,
      0.03302107953176632,
      0.03264745145363771,
      0.03227821630291955,
      0.03191332233326675,
      0.03155271829291346,
      0.03119635365677957,
      0.030844178502154405,
      0.03049614354903123,
      0.030152199983182224,
      0.029812299659751455,
      0.029476395016761726,
      0.029144439009873048,
      0.028816385291078293,
      0.02849218790977179,
      0.028171801549585093,
      0.027855181312798478,
      0.027542282888426247,
      0.02723306247726303,
      0.026927476833631208,
      0.026625483204278662,
      0.02632703930101217,
      0.026032103380137027,
      0.025740634180666876,
      0.025452590991987104,
      0.025167933459479666,
      0.02488662170945758,
      0.02460861640003045,
      0.024333878703558718,
      0.024062370231101863,
      0.02379405297103597,
      0.023528889401173796,
      0.02326684239248996,
      0.023007875305546783,
      0.022751951910575725,
      0.02249903634095711,
      0.022249093296198494,
      0.022002087852855932,
      0.02175798549943447,
      0.021516752083705095,
      0.02127835384446524,
      0.02104275747006478,
      0.0208099300282474,
      0.020579838889648497,
      0.02035245185436079,
      0.02012773722439841,
      0.019905663584204505,
      0.019686199842835327,
      0.01946931529663236,
      0.019254979642441064,
      0.01904316294156349,
      0.018833835559539314,
      0.018626968228206888,
      0.018422532045407544,
      0.01822049845078089,
      0.018020839183747774,
      0.01782352631893352,
      0.017628532277707363,
      0.017435829739073906,
      0.01724539177422388,
      0.01705719175364621,
      0.01687120345911458,
      0.016687400866237982,
      0.016505758195137877,
      0.016326250172082567,
      0.016148851701085834,
      0.01597353793743752,
      0.01580028435567152,
      0.015629066685085912,
      0.015459861069076857,
      0.015292643869698442,
      0.015127391759543895,
      0.01496408156659394,
      0.014802690482247275,
      0.014643195959166098,
      0.014485575724687186,
      0.014329807731490944,
      0.014175870185714682,
      0.014023741652333338,
      0.013873400837330964,
      0.01372482665701039,
      0.013577998435112084,
      0.013432895618033501,
      0.01328949791706397,
      0.013147785203123619,
      0.013007737701487868,
      0.012869335901299298,
      0.0127325604983686,
      0.012597392338177549,
      0.01246381253820871,
      0.01233180237560225,
      0.012201343461708666,
      0.012072417555545124,
      0.01194500665122917,
      0.011819092913691678,
      0.011694658793198767,
      0.011571686867248026,
      0.011450159982346626,
      0.011330061097518485,
      0.011211373478327758
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785839238538502,
      10.568415457835199,
      10.341731530520299,
      10.108630608541114,
      9.871631520870807,
      9.632881816290503,
      9.394280689147427,
      9.15744876153303,
      8.923765181654936,
      8.694360852891801,
      8.470104929621588,
      8.251606555646399,
      8.039225839987163,
      7.833095999876896,
      7.633154057060083,
      7.439177262441337,
      7.250818255141541,
      7.067640012705161,
      6.8891487653993675,
      6.71482316940617,
      6.5441393094651925,
      6.376590348533437,
      6.211697475603034,
      6.049026438919267,
      5.888201505677361,
      5.72891835616284,
      5.570945776698246,
      5.414120162232021,
      5.2583476725873926,
      5.103610482217521,
      4.949963895237476,
      4.797521075657471,
      4.646448066694781,
      4.496973041161804,
      4.349381294268686,
      4.204004232971705,
      4.061207115621052,
      3.9213792132297027,
      3.784933011695533,
      3.6522792829888164,
      3.5238008329236945,
      3.3998427515054352,
      3.2807047673848775,
      3.16663571424155,
      3.0578301796209404,
      2.954427637840557,
      2.8565173511123905,
      2.7641280175868777,
      2.6772385970922796,
      2.5957810428512085,
      2.5196300594632848,
      2.4486015633439826,
      2.3824549044002667,
      2.3209177939675127,
      2.2636957036311234,
      2.2104688709088776,
      2.160879464578551,
      2.114530302031183,
      2.0710298688641138,
      2.030027155117207,
      1.9911740768759336,
      1.9541559137913367,
      1.9187247667195229,
      1.8846872920969133,
      1.8518896892736048,
      1.8202072087563186,
      1.7895331292870407,
      1.7597768066294341,
      1.7308656833218627,
      1.7027404876907504,
      1.6753491351533947,
      1.6486459293481102,
      1.6225925428609516,
      1.5971561199534992,
      1.572307932949853,
      1.548022420007673,
      1.5242764948150636,
      1.5010494189188677,
      1.478322324908965,
      1.4560773953738546,
      1.434297726939489,
      1.4129672590083866,
      1.392070713557991,
      1.3715936295928914,
      1.3515228923065725,
      1.331846179634448,
      1.3125514675408918,
      1.2936270856433745,
      1.275061747770416,
      1.2568445680934937,
      1.2389653810964292,
      1.2214147798283126,
      1.2041835860288377,
      1.1872628347237493,
      1.1706438103314578,
      1.154318068917997,
      1.138277448806598,
      1.1225144001683136,
      1.1070226491633153,
      1.0917963213054795,
      1.076829402899619,
      1.06211580913496,
      1.0476494764525948,
      1.0334244223707028,
      1.0194347853289814,
      1.0056748484384568,
      0.9921390530859423,
      0.9788220062885321,
      0.9657184829833645,
      0.952823425137952,
      0.9401319394538956,
      0.9276392928354102,
      0.9153409079895596,
      0.9032323583669841,
      0.8913093623067876,
      0.8795679681489061,
      0.8680052108741196,
      0.8566182445879321,
      0.8454039848400836,
      0.834359218833213,
      0.8234806791050986,
      0.8127650931153009,
      0.8022092150985795,
      0.7918098482390157,
      0.7815638571568513,
      0.7714681763266499,
      0.7615198147388496,
      0.7517158578492757,
      0.7420539358569272,
      0.7325325787183692,
      0.7231495326610828,
      0.7139021962489337,
      0.7047879795510544,
      0.6958043560780874,
      0.6869488634751618,
      0.6782191026785621,
      0.669612736676392,
      0.6611274892495989,
      0.6527611433570013,
      0.6445115392822913,
      0.6363765732467969,
      0.6283541949761898,
      0.6204424064467335,
      0.6126392600436825,
      0.6049428569328382,
      0.5973513454780829,
      0.5898629193082534,
      0.5824758160602239,
      0.5751883160698513,
      0.5679987408429921,
      0.5609054517458388,
      0.553906848668838,
      0.5470013687223721,
      0.5401874849194715,
      0.5334637054380518,
      0.526828572273815,
      0.5202806599757522,
      0.5138185750550243,
      0.5074409548013076,
      0.5011464660455012,
      0.49493380476324667,
      0.48880169494793074,
      0.4827488878504487,
      0.47677416105615633,
      0.4708763177328661,
      0.46505418613031224,
      0.45930661836838954,
      0.4536324901444124,
      0.44803069993827876,
      0.44250016845717516,
      0.4370398377875388,
      0.4316486711472194,
      0.42632565194395655,
      0.4210697834386923,
      0.41588008815201444,
      0.41075560721894017,
      0.4056954000500463,
      0.4006985438179063,
      0.3957641329233496,
      0.39089127864652823,
      0.38607910883227164,
      0.3813267671026516,
      0.3766334126404689,
      0.3719982197821355,
      0.36742037767559715,
      0.3628988944357898,
      0.35843267428815206,
      0.35402073715375315,
      0.3496621891791096,
      0.34535619998186917,
      0.3411019869057708,
      0.33689880377601306,
      0.33274593316181006,
      0.32864268102697203,
      0.32458837263090334,
      0.320582349857627,
      0.3166239691897744,
      0.3127126002953363,
      0.30884762484183914,
      0.3050284357775797,
      0.3012544367597547,
      0.29752504160227494,
      0.2938396737290481,
      0.2901977660267831,
      0.28659876049978883,
      0.28304210804496377,
      0.27952726795231636,
      0.27605394030974245,
      0.27262212900016947,
      0.2692317189517325,
      0.265882465549138,
      0.2625740390941343,
      0.2593061030758581,
      0.25607833933295177,
      0.25289037846808554,
      0.2497418076968219,
      0.24663218646478444,
      0.2435610572089307,
      0.2405279528048126,
      0.23753240164493813,
      0.23457393109193564,
      0.23165207007168623,
      0.2287663506891558,
      0.2259165239663416,
      0.22310247052619617,
      0.22032393587800334,
      0.2175806036228059,
      0.21487211330646794,
      0.21219807612862662,
      0.20955808583634397,
      0.2069517262440708,
      0.2043785762869138,
      0.20183821333905133,
      0.1993302157262438,
      0.1968541642772268,
      0.19440964344158732,
      0.19199624180085093,
      0.18961355285308693,
      0.18726117501789621,
      0.18493871185518687,
      0.1826458447929228,
      0.18038232330125137,
      0.1781478618888425,
      0.17594214602837108,
      0.1737648431278393,
      0.17161560987604677,
      0.16949409732685816,
      0.16739995425048818,
      0.16533282943920652,
      0.16329237332010774,
      0.16127823887471396,
      0.15929008250584675,
      0.15732756413561716,
      0.15539034785917108,
      0.15347810189676972,
      0.15159049875399133,
      0.149727215183981,
      0.1478879323651595,
      0.1460723356270544,
      0.1442801146779632,
      0.14251096346989742,
      0.1407645757468368,
      0.1390406188564749,
      0.13733875821636762,
      0.13565867737745077,
      0.13400007339295028,
      0.13236265385346846,
      0.1307461347932206,
      0.12915023907749248,
      0.12757469550070308,
      0.1260192377900853,
      0.124483604230184,
      0.12296753728359003,
      0.12147078346703498,
      0.11999309284615693,
      0.11853421919144218,
      0.11709391969384969,
      0.11567195485130702,
      0.11426808831488018,
      0.11288208705699948,
      0.11151372117549502,
      0.1101627637779479,
      0.10882899110507276,
      0.10751218229555076,
      0.10621211937697624,
      0.10492858733017209,
      0.10366137396612754,
      0.10241026990167874,
      0.10117506843035752,
      0.09995556562494938,
      0.09875156027776273,
      0.0975628537422336,
      0.09638925001228872,
      0.09523055569646306,
      0.09408657999471312,
      0.09295713455689292,
      0.09184203336920706,
      0.0907410929349235,
      0.08965413212031297,
      0.0885809722061579,
      0.08752143681451412,
      0.08647535180524332,
      0.08544254534609358,
      0.08442284780959843,
      0.08341609191974059,
      0.08242211241392543,
      0.0814407461796734,
      0.0804718322911949,
      0.07951521177026628,
      0.07857072784763476,
      0.07763822573917004,
      0.07671755261058023,
      0.07580855773689536,
      0.0749110922305186,
      0.07402500918031824,
      0.07315016347625318,
      0.07228641199716823,
      0.07143361339850783,
      0.0705915977538195,
      0.06976016529846221,
      0.06893913471772094,
      0.0681283421702728,
      0.06732763631822627,
      0.06653687521207473,
      0.06575592376210901,
      0.06498465214895276,
      0.06422293461067417,
      0.06347064859824197,
      0.06272767434422448,
      0.06199389433364129,
      0.06126919319710144,
      0.060553457373313795,
      0.05984657500117136,
      0.05914843581825656,
      0.058458931033352375,
      0.05777795326202556,
      0.057105396639159034,
      0.0564411349976028,
      0.055785016050016456,
      0.05513690041126328,
      0.054496662543082504,
      0.053864187198039426,
      0.05323936656802088,
      0.05262209832354647,
      0.052012284386645735,
      0.05140982974559171,
      0.05081464220414338,
      0.050226631536824634,
      0.0496457094917571,
      0.04907178929216305,
      0.048504785486869734,
      0.047944614105069804,
      0.0473911921931033,
      0.04684443804554094,
      0.046304270919331765,
      0.0457706111364305,
      0.04524338006326963,
      0.04472250010719805,
      0.04420789451596594,
      0.043699487496021074,
      0.04319720426393544,
      0.042700970958852495,
      0.04221071460602115,
      0.04172636305849703,
      0.04124784500858306,
      0.04077509013309259,
      0.04030802891455366,
      0.03984659444356373,
      0.039390722517960705,
      0.03894034440365771,
      0.03849536848091289,
      0.038055701445242195,
      0.03762125977463199,
      0.037191967058757804,
      0.036767752123425125,
      0.03634854771608239,
      0.035934289502242846,
      0.03552491554093497,
      0.0351203656770663,
      0.034720581144355535,
      0.034325504418683844,
      0.03393507916838283,
      0.03354924990695159,
      0.03316796204016331,
      0.03279116178984223,
      0.03241879605039513,
      0.03205081235611094,
      0.0316871589403657,
      0.03132778473351055,
      0.030972639287272872,
      0.030621672762072744,
      0.030274835824418207,
      0.0299320799120774,
      0.029593356894584078,
      0.02925861926348601,
      0.02892782013750941,
      0.028600913136268984,
      0.028277852434365907,
      0.027958592677445878,
      0.02764308909416216,
      0.02733129751193218,
      0.027023174164916113,
      0.026718676003095274,
      0.02641776029149132,
      0.02612038485327587,
      0.025826508022396274,
      0.025536088604468984,
      0.025249085855507437,
      0.024965459525904163,
      0.02468516985238465,
      0.02440817755503946,
      0.024134443851848864,
      0.02386393037069071,
      0.023596599215228175,
      0.023332412912002998,
      0.023071334447969463,
      0.022813327303742182,
      0.02255835536149686,
      0.022306382788813483,
      0.022057374324602586,
      0.021811295077271822,
      0.021568110547067025,
      0.021327786707230435,
      0.021090289915161726,
      0.020855586876011172,
      0.020623644734929093,
      0.02039443100545577,
      0.02016791354405365,
      0.0199440605958098,
      0.019722840810108198,
      0.019504223232088416,
      0.019288177225885057,
      0.01907467248810953,
      0.018863679170875464,
      0.018655167790140002,
      0.01844910900843535,
      0.018245474035039216,
      0.01804423443044354,
      0.01784536187396429,
      0.017648828510782234,
      0.017454606887234093,
      0.01726266974768057,
      0.017072990226735703,
      0.016885541781954966,
      0.016700298070757576,
      0.016517233228786433,
      0.01633632161577966,
      0.016157537899590586,
      0.01598085709029457,
      0.015806254474089076,
      0.015633705548163672,
      0.015463186191775776,
      0.01529467250800343,
      0.01512814092728144,
      0.014963568051169758,
      0.014800930847078442,
      0.014640206564129907,
      0.014481372656586118,
      0.0143244069245584,
      0.014169287376038411,
      0.01401599229956769,
      0.013864500210899197,
      0.01371478996588099,
      0.013566840556768557,
      0.013420631246039547,
      0.013276141624929187,
      0.013133351437893957,
      0.012992240713283015,
      0.01285278963384371,
      0.012714978751761329,
      0.012578788785066568,
      0.01244420063100829,
      0.012311195431211121,
      0.012179754541984293,
      0.012049859544020018,
      0.011921492259158428,
      0.0117946347743992,
      0.011669269365312577,
      0.011545378413781554,
      0.011422944599654688,
      0.011301950794711892,
      0.011182379988867907,
      0.01106421554171975
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785834492444751,
      10.568392967050308,
      10.341681105464913,
      10.108545702292536,
      9.871508981857946,
      9.632720077687763,
      9.394079493402053,
      9.157208968710263,
      8.923488147986067,
      8.694048313123668,
      8.469758736900792,
      8.251228502236753,
      8.038817512284728,
      7.8326586756158525,
      7.632688707399313,
      7.438684551017191,
      7.250298561717207,
      7.067093481165283,
      6.888575363783769,
      6.7142227580738245,
      6.5435117170815085,
      6.37593520718009,
      6.211014511496173,
      6.048315597882759,
      5.887463005324672,
      5.728152874426738,
      5.570154444342012,
      5.413304558840231,
      5.257509876413879,
      5.102752996361472,
      4.9490899172896015,
      4.7966342861441715,
      4.6455524429519315,
      4.49607288846689,
      4.348481182365585,
      4.203108916104614,
      4.060321440250911,
      3.920508207990639,
      3.784082000964737,
      3.6514533206593183,
      3.5230045135450667,
      3.3990801367438,
      3.2799793318579455,
      3.165950308418441,
      3.0571870132436385,
      2.9538282818373616,
      2.85596263260249,
      2.7636179223209436,
      2.6767724919637472,
      2.5953573428914085,
      2.519246335896315,
      2.448254176649541,
      2.3821397973844456,
      2.320630693643393,
      2.2634323314832256,
      2.210224730035981,
      2.160649762528464,
      2.1143100842115583,
      2.0708148596293796,
      2.0298134508083985,
      1.9909581005457404,
      1.9539349281272818,
      1.9184967759270517,
      1.884450867992493,
      1.851643816653449,
      1.8199511593857538,
      1.7892663651673173,
      1.7594990144317344,
      1.7305767151048166,
      1.7024403376703683,
      1.6750379172202137,
      1.6483237990066348,
      1.6222596833310179,
      1.5968127332061357,
      1.5719542320765165,
      1.5476586241485712,
      1.5239028252230695,
      1.500665926169597,
      1.4779290348363987,
      1.4556743897543964,
      1.4338851250728746,
      1.412545205030975,
      1.3916393673029182,
      1.3711531713210634,
      1.3510735228530961,
      1.3313880942987733,
      1.3120848563520342,
      1.2931521330838145,
      1.2745786334287041,
      1.256353466206796,
      1.2384665105089276,
      1.220908361581603,
      1.203669819132695,
      1.1867419010517026,
      1.170115878781883,
      1.1537832986366767,
      1.1377360052539724,
      1.1219667481424533,
      1.1064692795302309,
      1.0912376103223649,
      1.07626564222233,
      1.0615472309507155,
      1.0470762712731092,
      1.032846751337374,
      1.0188527882133764,
      1.0050886499935758,
      0.9915487675523984,
      0.9782277401629574,
      0.965120336612096,
      0.9522214943073144,
      0.9395263162158853,
      0.9270300662307392,
      0.9147281646682202,
      0.902616182751001,
      0.8906898370070033,
      0.8789452825757142,
      0.8673796643062355,
      0.8559900628522958,
      0.8447733435309996,
      0.8337262587214631,
      0.8228455168365051,
      0.8121278283414203,
      0.8015699358354998,
      0.7911686335502924,
      0.7809207800159537,
      0.7708233052905525,
      0.7608732150998309,
      0.7510675922402537,
      0.7414043402582047,
      0.7318820260999254,
      0.7224983129421898,
      0.7132505218763345,
      0.7041360079638183,
      0.6951522069499005,
      0.6862966302734728,
      0.6775668606327598,
      0.6689605483976908,
      0.6604754084766452,
      0.6521092177781906,
      0.6438598122403023,
      0.6357250847365965,
      0.6277029827028316,
      0.6197915064629388,
      0.6119887071979021,
      0.6042926849005427,
      0.596701586834109,
      0.5892136062511956,
      0.5818269802900021,
      0.5745399887093341,
      0.5673509525804421,
      0.5602582326145455,
      0.5532602282007176,
      0.5463553759926317,
      0.5395421487120924,
      0.5328190539724742,
      0.5261846332550657,
      0.5196374608417927,
      0.5131761426837338,
      0.506799315592721,
      0.5005056460230498,
      0.4942938296183859,
      0.4881625899514654,
      0.48211067780942085,
      0.47613687046771663,
      0.47023997072979057,
      0.4644188061156312,
      0.45867222845749744,
      0.45299911316962577,
      0.4473983582704584,
      0.4418688838981141,
      0.43640963191468873,
      0.4310195649413672,
      0.4256976660218542,
      0.4204429380010888,
      0.41525440290106436,
      0.4101311014996046,
      0.40507209293590474,
      0.40007645398913644,
      0.39514327861651394,
      0.39027167775230537,
      0.38546077875974827,
      0.3807097248680536,
      0.37601767492609994,
      0.3713838028381073,
      0.3668072804331457,
      0.36228708506938345,
      0.3578221335752363,
      0.35341145692930837,
      0.3490541688240889,
      0.3447494441829986,
      0.3404965038010526,
      0.3362946037210011,
      0.3321430280869148,
      0.32804108363262047,
      0.32398809624513547,
      0.3199834079377803,
      0.3160263752676523,
      0.31211636792048875,
      0.3082527674724211,
      0.30443496668153597,
      0.3006623689134068,
      0.29693438768784414,
      0.293250446078273,
      0.2896099766506514,
      0.2860124211154819,
      0.28245722993436495,
      0.27894386417021366,
      0.27547210011737683,
      0.27204194818624905,
      0.2686532657225185,
      0.26530578868448756,
      0.2619991758760473,
      0.2587331008124361,
      0.2555072388522246,
      0.25232120881377257,
      0.24917458962814082,
      0.2460669349825102,
      0.2429977831676041,
      0.23996666405033146,
      0.2369731038081358,
      0.23401662834733294,
      0.23109676546951216,
      0.22821310827979882,
      0.22536552558903192,
      0.2225538488275816,
      0.21977778201533332,
      0.21703697709255557,
      0.2143310516296311,
      0.2116596018048744,
      0.20902221084779468,
      0.20641845525866842,
      0.2038479089804128,
      0.20131014592082563,
      0.1988047420182111,
      0.19633127655351143,
      0.19388933268868372,
      0.19147849832813826,
      0.18909836623797482,
      0.18674853444176157,
      0.18442865505664935,
      0.18213847106566086,
      0.1798777016088333,
      0.17764603367838627,
      0.17544313389063348,
      0.17326865672540417,
      0.17112225014212784,
      0.16900355928748084,
      0.1669122287991924,
      0.16484790463715754,
      0.16281023527084793,
      0.16079887254009795,
      0.1588134718676256,
      0.15685369265179216,
      0.15491919863126485,
      0.15300965783500134,
      0.15112474258216682,
      0.1492641295638161,
      0.14742749982254794,
      0.1456145387824864,
      0.1438249361140525,
      0.1420583858211653,
      0.14031458599757426,
      0.13859321864006519,
      0.13689394664677051,
      0.13521644832247937,
      0.1335604171696526,
      0.13192555834331163,
      0.1303115861593274,
      0.12871822232211602,
      0.1271451948587498,
      0.12559223701119585,
      0.12405908671860526,
      0.12254548625533807,
      0.12105118197858289,
      0.1195759239815605,
      0.11811946600709053,
      0.11668156520756726,
      0.11526198208806694,
      0.11386048044768786,
      0.11247682722358716,
      0.11111079253003114,
      0.10976214958695599,
      0.10843067463355804,
      0.10711614688381231,
      0.10581834845372347,
      0.10453706436209641,
      0.10327208246454528,
      0.1020231934547465,
      0.10079019076077825,
      0.0995728705141894,
      0.09837103157952191,
      0.09718447543411322,
      0.09601300612041298,
      0.09485643028373525,
      0.09371455715540072,
      0.09258719839848427,
      0.0914741681976676,
      0.09037528320505983,
      0.08929036230385777,
      0.08821922674909556,
      0.08716170020835938,
      0.08611760874108881,
      0.08508678057668523,
      0.08406904619920642,
      0.08306423826843513,
      0.08207219165039714,
      0.08109274323017429,
      0.08012573216112384,
      0.07917099968354818,
      0.07822838902390773,
      0.07729774556238526,
      0.07637891649245468,
      0.07547175115224135,
      0.07457610078789548,
      0.0736918184447478,
      0.07281875923074811,
      0.071956780037307,
      0.07110573967064904,
      0.0702654848437513,
      0.06943581785358637,
      0.06861655157767665,
      0.06780751819648681,
      0.06700856379150462,
      0.06621954454884865,
      0.06544032407069082,
      0.06467077172663281,
      0.0639107611384222,
      0.06316016950183824,
      0.062418876769182445,
      0.061686765335537026,
      0.06096371965458022,
      0.060249626151645454,
      0.05954437297253954,
      0.05884784989162656,
      0.05815994811447631,
      0.0574805603851342,
      0.056809580911321995,
      0.056146901944602326,
      0.05549238377697634,
      0.05484587744805417,
      0.05420725095993929,
      0.05357638438932633,
      0.05295316674433146,
      0.052337493526983477,
      0.05172926505235353,
      0.05112838548942253,
      0.05053476181458922,
      0.049948303450746585,
      0.049368921753391484,
      0.048796529774372564,
      0.04823104205783983,
      0.047672374508541365,
      0.04712044423679785,
      0.04657516937934389,
      0.04603646935675501,
      0.045504264540925043,
      0.04497847633341056,
      0.044459027139506446,
      0.04394584033342204,
      0.04343884030036741,
      0.04293795224068361,
      0.04244310235262011,
      0.04195421777068557,
      0.04147122641848965,
      0.04099405715097323,
      0.040522639626694446,
      0.04005690438351787,
      0.03959678442798595,
      0.039142215734842646,
      0.03869313415374726,
      0.03824947297895011,
      0.03781114433533132,
      0.037378054208322145,
      0.036950118899988706,
      0.036527262073889906,
      0.036109412835363446,
      0.03569650425246529,
      0.035288472643154725,
      0.034885256579268574,
      0.03448679648457813,
      0.034093034309869846,
      0.03370391331258169,
      0.03331937783509732,
      0.03293937307804161,
      0.03256384510862185,
      0.03219274078666873,
      0.03182600775111651,
      0.03146359434253631,
      0.031105449432951973,
      0.03075152263958218,
      0.030401764175548622,
      0.030056124884092525,
      0.029714556154650944,
      0.029377009984036816,
      0.02904343896039178,
      0.028713796179493812,
      0.02838803529673272,
      0.028066110565220733,
      0.02774797684458306,
      0.027433589379661984,
      0.02712290409299556,
      0.026815877364639827,
      0.026512466103308666,
      0.026212627679229595,
      0.025916320008806004,
      0.025623501421563527,
      0.025334130815161043,
      0.025048167548510563,
      0.02476557148935673,
      0.024486303013115832,
      0.024210322860323614,
      0.023937592310599203,
      0.023668073043640037,
      0.02340172718641308,
      0.02313851742559002,
      0.022878406861441998,
      0.022621358971451906,
      0.022367337638984474,
      0.022116307126238886,
      0.021868232239662163,
      0.021623078204745346,
      0.021380810650733138,
      0.021141395552162618,
      0.02090479925465566,
      0.0206709885593502,
      0.020439930681744153,
      0.020211593263248843,
      0.019985944174304455,
      0.019762951757642578,
      0.019542584773892823,
      0.01932481222205071,
      0.019109603567904136,
      0.018896928630529837,
      0.018686757540391303,
      0.018479060800319493,
      0.018273809386341364,
      0.01807097448740842,
      0.017870527564181737,
      0.01767244051083819,
      0.0174766855892481,
      0.017283235250337415,
      0.017092062369495835,
      0.016903140140296383,
      0.01671644209019773,
      0.01653194199580035,
      0.01634961395825091,
      0.0161694324477694,
      0.0159913722037466,
      0.01581540813555114,
      0.015641515529518913,
      0.015469670092021317,
      0.015299847726806887,
      0.01513202461867488,
      0.014966177165665,
      0.01480228212166888,
      0.014640316556162335,
      0.014480257751632582,
      0.014322083248012662,
      0.014165770837144504,
      0.01401129856494801,
      0.013858644816853876,
      0.013707788118634903,
      0.013558707306585687,
      0.013411381527211741,
      0.013265790047164116,
      0.013121912471020885,
      0.012979728648383038,
      0.012839218639550084,
      0.01270036279624522,
      0.012563141582703465,
      0.0124275357471258,
      0.012293526322503523,
      0.012161094437638935,
      0.012030221504045516,
      0.011900889149251992,
      0.011773079271949231,
      0.011646773996437262,
      0.011521955615166035,
      0.011398606570277345,
      0.011276709568997728,
      0.01115624756044806,
      0.011037203636874552,
      0.01091956106271961
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785829754183847,
      10.568370512265485,
      10.341630763434422,
      10.108460947635917,
      9.871386675601313,
      9.632558660378727,
      9.393878713816136,
      9.156969694662017,
      8.92321174068783,
      8.693736509511874,
      8.469413390098277,
      8.250851379210351,
      8.038410176444858,
      7.83222241052213,
      7.632224488493675,
      7.438193046616714,
      7.249780157693096,
      7.066548325950382,
      6.888003429968544,
      6.713623912944909,
      6.542885794217775,
      6.375281833477803,
      6.210333407080048,
      6.04760671424546,
      5.886726597546812,
      5.727389650108874,
      5.569365531413598,
      5.412491534148037,
      5.256674814186018,
      5.101898394405537,
      4.948218968842663,
      4.795750666513652,
      4.644660122982545,
      4.495176164593728,
      4.3475846136421525,
      4.202217244201787,
      4.059439496408209,
      3.919641034749101,
      3.7832349304440713,
      3.650631380426613,
      3.5222122717666293,
      3.3983216300993364,
      3.2792580096107753,
      3.1652689968216627,
      3.056547899745054,
      2.9532329178470196,
      2.855411828032411,
      2.763111647405636,
      2.676310022243891,
      2.59493701829952,
      2.5188657396708494,
      2.447909684540152,
      2.3818273696754892,
      2.3203460753357192,
      2.2631712628896183,
      2.20998271504257,
      2.1604220177908604,
      2.1140916840145114,
      2.070601554080117,
      2.0296013601529275,
      1.990743670805344,
      1.9537154435529651,
      1.9182702542122136,
      1.884215891207056,
      1.8513993786438303,
      1.8196965334354231,
      1.7890010163802417,
      1.7592226348189623,
      1.7302891611361146,
      1.70214160352627,
      1.6747281175433222,
      1.6480030923639342,
      1.6219282557164953,
      1.5964707884632796,
      1.5716019842147724,
      1.5472962930332739,
      1.523530632333262,
      1.5002839771996912,
      1.4775373391942574,
      1.455273017292832,
      1.433474186957405,
      1.4121248400348998,
      1.3912097314963705,
      1.3707144417323145,
      1.3506258978673324,
      1.3309317679533792,
      1.3116200179390793,
      1.2926789666692438,
      1.2740973178937745,
      1.255864175603132,
      1.2379694636599465,
      1.220403778756495,
      1.2031578988845184,
      1.1862228251622382,
      1.1695898165746277,
      1.153250409182096,
      1.1371965494699414,
      1.1214211984970548,
      1.1059180925889052,
      1.0906811390633468,
      1.0757041617407266,
      1.060980962140656,
      1.0465053967196052,
      1.032271426639836,
      1.0182731502298998,
      1.0045048214050627,
      0.9909608607022686,
      0.9776358599223144,
      0.9645245823244792,
      0.9516219612738418,
      0.9389230960604513,
      0.9264232478240235,
      0.9141178345940127,
      0.9020024254673462,
      0.8900727351087443,
      0.8783250943133714,
      0.8667566655407626,
      0.8553644640070653,
      0.8441453098588159,
      0.8330959240086613,
      0.8222129929134753,
      0.8114932114875741,
      0.8009333112124359,
      0.7905300789955559,
      0.7802803676790485,
      0.770181103456623,
      0.7602292887788354,
      0.7504220326862268,
      0.7407574978798913,
      0.7312342594833451,
      0.7218499024762735,
      0.7126016734726186,
      0.703486874814862,
      0.6945029057157481,
      0.6856472522494768,
      0.6769174796337561,
      0.6683112261439306,
      0.6598261982587367,
      0.6514601666663841,
      0.6432109629894152,
      0.635076477035273,
      0.6270546543057631,
      0.6191434935471984,
      0.6113410445305575,
      0.6036454061230241,
      0.5960547249911843,
      0.5885671934724577,
      0.5811810482514974,
      0.5738945684263503,
      0.5667060744726812,
      0.5596139267670893,
      0.5526165242878326,
      0.5457123032711217,
      0.5388997358809535,
      0.5321773291523995,
      0.5255436242666954,
      0.5189971950961936,
      0.5125366471685785,
      0.5061606168265069,
      0.4998677702324435,
      0.4936568025023405,
      0.4875264366939086,
      0.4814754232635246,
      0.4755025390044488,
      0.46960658618187867,
      0.46378639202101407,
      0.45804080799240415,
      0.4523687089488478,
      0.4467689925493489,
      0.4412405786164078,
      0.4357824085066086,
      0.43039344447107913,
      0.4250726689322638,
      0.4198190844166222,
      0.41463171264603155,
      0.40950959401038256,
      0.4044517872190536,
      0.39945736857511815,
      0.39452543181354416,
      0.38965508746377986,
      0.38484546232272493,
      0.3800956991920016,
      0.3754049565760686,
      0.3707724080630925,
      0.36619720535406136,
      0.3616782966549739,
      0.35721461431991913,
      0.35280519987964665,
      0.3484491741983076,
      0.3441457170442074,
      0.3398940525471685,
      0.33569343899125126,
      0.33154316189074406,
      0.327442528964787,
      0.32339086644760656,
      0.31938751663359116,
      0.3154318361281283,
      0.31152319444346466,
      0.3076609730249723,
      0.30384456450216674,
      0.3000733718958068,
      0.29634680833931654,
      0.29266429675529865,
      0.28902526935911327,
      0.2854291674353918,
      0.28187544117030633,
      0.2783635714242475,
      0.2748934016206836,
      0.27146493060382204,
      0.2680779908309068,
      0.26473230081661975,
      0.26142751593773406,
      0.25816331576202617,
      0.25493936519300897,
      0.25175527260245045,
      0.248610609594215,
      0.2455049245880879,
      0.2424377521757012,
      0.23940861955581705,
      0.23641705107940786,
      0.23346257121429628,
      0.2305447067430345,
      0.22766317759777013,
      0.22481789491975185,
      0.22200863406980606,
      0.21923506005476193,
      0.21649679751264503,
      0.21379344522607177,
      0.2111245862411302,
      0.20848979491159897,
      0.20588864162029175,
      0.20332069592156624,
      0.2007855287148481,
      0.19828271383984808,
      0.19581182906131347,
      0.19337245662614608,
      0.19096418363662487,
      0.18858660245843425,
      0.18623933789264435,
      0.1839221216944896,
      0.1816346783614306,
      0.1793766967315015,
      0.17714784309344586,
      0.17494776990179575,
      0.1727761221294113,
      0.17063254120484317,
      0.16851666764474657,
      0.16642814312293622,
      0.16436661158934968,
      0.16233172016942718,
      0.16032311966879928,
      0.15834046491489795,
      0.15638341492401042,
      0.15445163314926025,
      0.15254478733341525,
      0.15066254967230094,
      0.14880459691475137,
      0.14697061009971404,
      0.14516027459229966,
      0.14337328009412972,
      0.1416093205262019,
      0.13986809402626618,
      0.13814929653726915,
      0.13645259714078786,
      0.13477766765476204,
      0.13312419724560945,
      0.1314918880632754,
      0.1298804524894415,
      0.1282896108674582,
      0.12671909020826688,
      0.12516862317361332,
      0.12363794740310635,
      0.12212680487063199,
      0.12063494179610686,
      0.11916210820220735,
      0.11770805766187506,
      0.11627254737539675,
      0.11485533781446396,
      0.11345619281565768,
      0.11207487939883484,
      0.11071116776817845,
      0.1093648312088292,
      0.10803564599419659,
      0.10672339146849942,
      0.10542784973893489,
      0.10414880590511147,
      0.10288604788513396,
      0.10163936637213891,
      0.10040855491491146,
      0.09919340972825938,
      0.09799372969706269,
      0.09680931645955458,
      0.09563997415019439,
      0.09448550942481426,
      0.09334573153272027,
      0.09222045218134037,
      0.09110948561328906,
      0.09001264850779388,
      0.08892975991601271,
      0.08786064128781769,
      0.0868051163603044,
      0.08576301115646215,
      0.08473415395372691,
      0.08371837529248904,
      0.08271550795426817,
      0.08172538684013683,
      0.08074784915871386,
      0.07978273402453852,
      0.07882988265490513,
      0.07788913844074195,
      0.07696034671057053,
      0.07604335485754989,
      0.07513801224196096,
      0.07424417012628928,
      0.07336168175405614,
      0.07249040226414664,
      0.07163018861507887,
      0.07078089970702563,
      0.06994239116392138,
      0.06911447812403568,
      0.06829696673298868,
      0.06748968457247519,
      0.06669247460778542,
      0.06590519085775615,
      0.06512769549416574,
      0.06435985683430709,
      0.06360154792352153,
      0.06285264538062695,
      0.062113029010795046,
      0.06138258102043418,
      0.060661185835696,
      0.05994872986605552,
      0.05924510115433733,
      0.058550189516382925,
      0.057863886267614933,
      0.05718608421298908,
      0.05651667751192086,
      0.055855561739295845,
      0.055202621531056435,
      0.054557707966944584,
      0.053920680553648924,
      0.05329141352529596,
      0.05266979179636983,
      0.05205570798343952,
      0.051449060534995164,
      0.05084975215408035,
      0.05025768899762804,
      0.049672779904977406,
      0.04909493585634181,
      0.048524069528374306,
      0.047960095257134065,
      0.04740292893413284,
      0.046852487564860316,
      0.04630868947114633,
      0.04577145399884275,
      0.04524070159219441,
      0.04471635371334014,
      0.044198332823018424,
      0.04368656238719556,
      0.04318096683375156,
      0.04268147145515553,
      0.042188002553579386,
      0.041700487277696305,
      0.04121885375571765,
      0.04074303070380583,
      0.0402729479371507,
      0.039808536074144696,
      0.039349728145196154,
      0.03889646010493642,
      0.038448667974351834,
      0.03800628756938367,
      0.037569254918363985,
      0.037137486415097905,
      0.03671088733925575,
      0.03628937361658566,
      0.03587286883907474,
      0.03546130236090275,
      0.035054607709074925,
      0.03465272162103158,
      0.03425558325057737,
      0.033863133682302746,
      0.03347531555191734,
      0.03309207275865209,
      0.032713350204679685,
      0.032339093958364595,
      0.03196925078597284,
      0.0316037682043945,
      0.03124259446370562,
      0.03088567848157104,
      0.03053296994895824,
      0.030184419130210974,
      0.029839976939072563,
      0.02949959485480852,
      0.02916322494865849,
      0.028830819877749013,
      0.028502332862145353,
      0.02817771766730841,
      0.02785692859477567,
      0.02753992054213348,
      0.02722664883280992,
      0.026917069410089495,
      0.02661113873806384,
      0.026308813707449443,
      0.026010051816779598,
      0.025714811130089565,
      0.025423050087261985,
      0.025134727634056053,
      0.02484980323941043,
      0.02456823675580719,
      0.02428998860885286,
      0.024015019696359663,
      0.02374329139419437,
      0.023474765468616394,
      0.0232094040793506,
      0.022947169885688422,
      0.02268802607205634,
      0.0224319362101369,
      0.022178864287937167,
      0.02192877468318084,
      0.021681632354599793,
      0.021437402469127214,
      0.021196050723610752,
      0.02095754318652452,
      0.020721846285744104,
      0.02048892686958844,
      0.020258752207148525,
      0.02003129000637608,
      0.019806508319406602,
      0.01958437551910986,
      0.019364860283110425,
      0.019147931821174954,
      0.018933559601537114,
      0.018721713479514176,
      0.018512363693814145,
      0.018305480787983185,
      0.018101035717566116,
      0.017898999793568487,
      0.017699344601664932,
      0.017502042049946605,
      0.017307064405009506,
      0.01711438432956554,
      0.016923974647946562,
      0.01673580860228806,
      0.016549859791932544,
      0.016366102051033053,
      0.01618450956841585,
      0.016005056837371447,
      0.015827718669984267,
      0.0156524701876112,
      0.015479286614914246,
      0.015308143653735172,
      0.015139017222104192,
      0.014971883576175338,
      0.014806719280839526,
      0.014643501104878144,
      0.014482206152629993,
      0.014322811704073395,
      0.01416529533585741,
      0.0140096349475928,
      0.0138558086052662,
      0.013703794786074712,
      0.013553572172971247,
      0.01340511960937499,
      0.013258416251389852,
      0.013113441505173455,
      0.012970174952613683,
      0.012828596436474285,
      0.012688686038539825,
      0.012550424192419272,
      0.012413791434970619,
      0.012278768501703539,
      0.012145336467435697,
      0.012013476589321954,
      0.011883170379795758,
      0.011754399457469039,
      0.011627145818711078,
      0.011501391544169223,
      0.01137711895131406,
      0.01125431055029793,
      0.011132949134480275,
      0.011013017655566467,
      0.01089449927135283,
      0.010777377285817829
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785825024060962,
      10.568348097447632,
      10.341580515152001,
      10.108376355160848,
      9.871264611286747,
      9.63239757024695,
      9.39367835046631,
      9.156730926692012,
      8.92293592925178,
      8.693425392365674,
      8.469068818884592,
      8.250475115213941,
      8.038003778225468,
      7.831787160669264,
      7.631761362971094,
      7.43770271547248,
      7.249263007772423,
      7.066004508178219,
      6.8874329190448105,
      6.71302657622816,
      6.542261467048972,
      6.3746301408995,
      6.209654070132629,
      6.04689968795015,
      5.88599216959203,
      5.726628555732203,
      5.5685788942104155,
      5.411680926467226,
      5.255842306060535,
      5.101046478780481,
      4.947350801316249,
      4.794869896474419,
      4.643770719436102,
      4.494282420192544,
      4.346691081473586,
      4.201328658008563,
      4.0585606778257635,
      3.918777023429563,
      3.782391051650035,
      3.6498126450487978,
      3.521423230976316,
      3.3975663031381917,
      3.278539829693378,
      3.1645907749337883,
      3.0559118095495514,
      2.9526404987147354,
      2.854863880110906,
      2.762608132548377,
      2.675850209278414,
      2.5945192438789686,
      2.5184875847406167,
      2.4475675249260123,
      2.3815171670740445,
      2.3200635788325843,
      2.26291221849855,
      2.2097426019311595,
      2.1601960006986376,
      2.113874817065738,
      2.0703896249816505,
      2.0293905237172947,
      1.9905304067190055,
      1.953497065311969,
      1.918044798334469,
      1.8839819544739267,
      1.8511559659739485,
      1.8194429273514408,
      1.7887366891969485,
      1.7589472837680828,
      1.7300026462152935,
      1.7018439120999307,
      1.6744193632180875,
      1.6476834390619601,
      1.6215978935945394,
      1.5961299236720992,
      1.5712508329444157,
      1.5469350762879275,
      1.5231595724020814,
      1.4999032110330783,
      1.4771468693450387,
      1.4548729068522448,
      1.433064541898796,
      1.4117057950519514,
      1.3907814400485259,
      1.3702770788925502,
      1.3501796608230074,
      1.330476849487982,
      1.3111566060856636,
      1.292207244941509,
      1.2736174648698686,
      1.2553763785563,
      1.2374739485450341,
      1.219900759365082,
      1.2026475690395633,
      1.1857053637100718,
      1.1690653903219292,
      1.1527191933071692,
      1.1366588886100544,
      1.120877509042655,
      1.10536880967857,
      1.0901266047373077,
      1.0751446440184496,
      1.060416677013548,
      1.0459365231693922,
      1.0316981180576865,
      1.017695541282751,
      1.0039230335107319,
      0.990375005764288,
      0.9770460423283499,
      0.9639309011442967,
      0.9510245109288512,
      0.9383219679072822,
      0.9258185306700353,
      0.9135096151116477,
      0.901390788253008,
      0.8894577630978215,
      0.8777070458918652,
      0.8661358163985353,
      0.8547410244456339,
      0.8435194448541568,
      0.8324677670669017,
      0.8215826556816064,
      0.8108607901065638,
      0.8002988911056113,
      0.7898937377460423,
      0.7796421772248147,
      0.7695411316576829,
      0.7595876004628077,
      0.7497788331492262,
      0.7401131936141829,
      0.7305891520353401,
      0.7212042345210556,
      0.711955624846926,
      0.7028405806150222,
      0.6938564702182514,
      0.6850007582104133,
      0.6762709951295501,
      0.6676648087940878,
      0.6591798983178849,
      0.6508140293505645,
      0.6425650301448355,
      0.6344307879255454,
      0.6264092461306896,
      0.618498401771056,
      0.6106963035041476,
      0.603001049542936,
      0.5954107856899847,
      0.5879237037093249,
      0.5805380395623205,
      0.5732520720000891,
      0.5660641209612995,
      0.5589725462155237,
      0.5519757462854658,
      0.5450721568929309,
      0.538260249952342,
      0.5315385321776596,
      0.5249055441476962,
      0.5183598592764405,
      0.5119000827200727,
      0.5055248503273766,
      0.4992328277140074,
      0.4930227095938557,
      0.48689321871036695,
      0.48084310500789756,
      0.47487114474219394,
      0.4689761398637329,
      0.4631569171951646,
      0.4574123277367573,
      0.45174124595032455,
      0.44614256912678835,
      0.4406152166624161,
      0.43515812950009686,
      0.4297702694595733,
      0.42445061873793716,
      0.41919817927814507,
      0.41401197228774256,
      0.40889103773129604,
      0.4038344339011139,
      0.3988412367371125,
      0.39391053958465455,
      0.38904145255229355,
      0.38423310215858525,
      0.3794846309124946,
      0.3747951968039076,
      0.37016397301103576,
      0.36559009126625064,
      0.3610724710119324,
      0.35661005980516886,
      0.35220190966091514,
      0.3478471486484643,
      0.3435449614019344,
      0.33929457527978657,
      0.33509525071382346,
      0.33094627467251186,
      0.32684695556215354,
      0.3227966201484903,
      0.3187946110375764,
      0.31484028493888583,
      0.3109330112084677,
      0.30707217098722533,
      0.3032571566524618,
      0.2994873709457256,
      0.29576222686986886,
      0.29208114700645654,
      0.28844356328416687,
      0.2848489166503835,
      0.28129665693874634,
      0.2777863044914738,
      0.27431775896179517,
      0.2708909893404248,
      0.26750580611482594,
      0.26416191239729453,
      0.2608589652762068,
      0.2575966494220508,
      0.2543746162446776,
      0.2511924647002718,
      0.24804975978172497,
      0.2449460451223431,
      0.24188085196309891,
      0.23885370516707027,
      0.23586412734695988,
      0.232911641631164,
      0.22999582090308981,
      0.22711650940332626,
      0.2242735884000768,
      0.22146678344251797,
      0.21869572696263603,
      0.21596002103427608,
      0.21325924888705655,
      0.21059298290422218,
      0.20796078998386938,
      0.20536223528960434,
      0.20279688481205246,
      0.20026430701872405,
      0.19776407396818033,
      0.19529576219782926,
      0.19285895319899385,
      0.19045323346817963,
      0.1880782085555006,
      0.18573358616242125,
      0.18341909763702807,
      0.18113443466121212,
      0.17887926373130464,
      0.17665323582217934,
      0.1744559929945625,
      0.17228717305305855,
      0.17014641246305318,
      0.16803334854336952,
      0.16594762077792333,
      0.16388887167754426,
      0.161856747246729,
      0.15985089755975773,
      0.15787097702226674,
      0.15591664442162617,
      0.1539875628424321,
      0.15208340000070134,
      0.15020382814581218,
      0.14834852387993008,
      0.14651716816134933,
      0.1447094464285827,
      0.14292504835586356,
      0.1411636679963608,
      0.1394250035758276,
      0.13770875734331228,
      0.13601461240632132,
      0.13434223619816318,
      0.1326913126863161,
      0.1310615406364196,
      0.12945262997538678,
      0.12786429946704314,
      0.12629627498505064,
      0.12474828850440765,
      0.1232200771644128,
      0.1217113826674717,
      0.1202219509347185,
      0.11875153193503257,
      0.11729987920277252,
      0.11586674989549592,
      0.1144519045836116,
      0.11305510707686697,
      0.1116761243951163,
      0.11031472676880937,
      0.1089706875037855,
      0.107643782990168,
      0.106333792549677,
      0.10504049844545266,
      0.10376368582574354,
      0.10250314272163721,
      0.10125865985736478,
      0.10003003078174856,
      0.09881705183753965,
      0.09761952203184197,
      0.09643724300546136,
      0.09527001893450751,
      0.09411765655546214,
      0.09297996526911835,
      0.09185675685954184,
      0.0907478457048196,
      0.08965304841776511,
      0.08857218418194752,
      0.08750507452411893,
      0.08645154317745155,
      0.08541141625182111,
      0.08438452223116978,
      0.0833706916741088,
      0.08236975739899711,
      0.0813815544161113,
      0.08040591990298158,
      0.07944269311103763,
      0.07849171535618552,
      0.07755283008990631,
      0.07662588272355772,
      0.07571072070501236,
      0.07480719343068298,
      0.07391515238430843,
      0.07303445079967048,
      0.07216494388340867,
      0.07130648877146162,
      0.07045894429518883,
      0.06962217118978485,
      0.06879599962477584,
      0.06798023284268387,
      0.06717469314184671,
      0.06637921993770345,
      0.06559366479225219,
      0.06481788815074395,
      0.06405175716208976,
      0.06329514404691151,
      0.062547925025536,
      0.06180997950307282,
      0.06108118953067228,
      0.06036143946138248,
      0.05965061562732072,
      0.05894860609431202,
      0.058255300674492555,
      0.0575705906973187,
      0.05689436899935672,
      0.05622652980527081,
      0.055566968779615485,
      0.05491558299158719,
      0.05427224323689819,
      0.053636800758022136,
      0.05300912244819736,
      0.052389088046710865,
      0.05177658675258569,
      0.051171514526622795,
      0.050573772472706606,
      0.049983265477442494,
      0.049399901544930944,
      0.04882359110245015,
      0.04825424665568161,
      0.047691782359623326,
      0.04713611389824543,
      0.046587158290213586,
      0.04604483380799019,
      0.04550905979369591,
      0.044979756780933515,
      0.04445684623022681,
      0.04394025067190258,
      0.0434298936335284,
      0.0429256995011531,
      0.042427593737095724,
      0.041935502688072196,
      0.04144935360701254,
      0.040969074528535744,
      0.04049459450699491,
      0.04002584348946852,
      0.03956275214764818,
      0.039105253324580105,
      0.03865328299151818,
      0.038206777319994535,
      0.03776567223598215,
      0.03732990386669458,
      0.03689940857428325,
      0.03647410904790394,
      0.036053912323964016,
      0.03563873348872791,
      0.03522849589060878,
      0.03482312875135994,
      0.03442256584651135,
      0.03402674426405155,
      0.0336356035991008,
      0.03324908549210913,
      0.03286713325779243,
      0.03248969138377578,
      0.03211670545050478,
      0.03174812211583119,
      0.03138388880467345,
      0.031023953773932293,
      0.0306682659515429,
      0.030316774956419063,
      0.02996943105084865,
      0.029626185194010446,
      0.029286988964837325,
      0.028951794496684218,
      0.028620554468162442,
      0.02829322224567643,
      0.02796975169460927,
      0.027650097189763426,
      0.02733421358308079,
      0.027022056364123897,
      0.026713581546275157,
      0.026408745704609125,
      0.026107505818621538,
      0.025809819421956978,
      0.02551564467787291,
      0.025224940021339924,
      0.024937664524570913,
      0.024653777711045346,
      0.024373239642136658,
      0.024096010779631902,
      0.023822052040998097,
      0.02355132481165845,
      0.023283790997372038,
      0.023019412862148255,
      0.022758153249577834,
      0.022499975278125944,
      0.022244842559381632,
      0.021992719188956556,
      0.02174356959325492,
      0.021497358714383956,
      0.021254051885607268,
      0.02101361480997846,
      0.02077601367405795,
      0.020541215028147947,
      0.020309185769652984,
      0.02007989315969587,
      0.01985330494298234,
      0.019629389221240856,
      0.019408114500085723,
      0.0191894495527899,
      0.018973363615949784,
      0.01875982630704042,
      0.01854880751814231,
      0.01834027757766239,
      0.018134207064033053,
      0.017930566983228143,
      0.017729328724842668,
      0.017530463860931093,
      0.01733394441621466,
      0.017139742732959515,
      0.01694783144514208,
      0.016758183555818783,
      0.01657077235008939,
      0.01638557141777848,
      0.01620255467700501,
      0.016021696348221492,
      0.015842970986791584,
      0.015666353440386766,
      0.015491818839288825,
      0.015319342626279814,
      0.015148900568377968,
      0.014980468680822935,
      0.014814023203133945,
      0.01464954071558247,
      0.014486998098515414,
      0.014326372377763415,
      0.01416764098462293,
      0.014010781533618503,
      0.013855772001957468,
      0.013702590598476855,
      0.013551215678243293,
      0.013401625924819735,
      0.013253800298461032,
      0.013107717998057147,
      0.012963358513047564,
      0.012820701511243303,
      0.012679726854547367,
      0.012540414691593862,
      0.01240274543706151,
      0.012266699764922142,
      0.012132258443482856,
      0.011999402609844733,
      0.011868113549524509,
      0.011738372820340013,
      0.011610162097142013,
      0.011483463418229544,
      0.011358258872979626,
      0.011234530779684653,
      0.011112261775194048,
      0.010991434676833863,
      0.01087203249758611,
      0.01075403839232965,
      0.010637435706052275
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.78582030227955,
      10.568325721274082,
      10.341530355432175,
      10.10829191791785,
      9.871142779665096,
      9.63223680021896,
      9.393478402973573,
      9.156492676965986,
      8.922660743277945,
      8.693115008647105,
      8.468725089305932,
      8.250099798971585,
      8.037598432382126,
      7.831353068041777,
      7.631299498947233,
      7.437213748805904,
      7.248747326212198,
      7.065462262879918,
      6.88686408579866,
      6.71243102464187,
      6.541639035368572,
      6.37398043819663,
      6.208976804626155,
      6.046194820903534,
      5.885259996712595,
      5.725869818930312,
      5.567794720976919,
      5.410872890999196,
      5.255012477879453,
      5.10019734986833,
      4.946485425401222,
      4.793991922656607,
      4.642884123895376,
      4.493391499635273,
      4.345800390958615,
      4.200442930716449,
      4.057684732603395,
      3.9179159533605246,
      3.781550219495859,
      3.6489970394552746,
      3.520637381272598,
      3.396814207487353,
      3.277824900173572,
      3.1639158032789654,
      3.055278950939484,
      2.9520512746865304,
      2.854319074544948,
      2.7621077010032486,
      2.6753934159943262,
      2.594104414609302,
      2.5181122924990214,
      2.4472281400083435,
      2.381209648974061,
      2.319783676852273,
      2.2626556631450625,
      2.2095048308709284,
      2.1599721845687485,
      2.113660022118448,
      2.070179659893874,
      2.029181563761913,
      1.9903189511394455,
      1.9532804447384597,
      1.917821062580982,
      1.8837497108313912,
      1.850914227103991,
      1.819190981314723,
      1.7884740126663157,
      1.758673578055219,
      1.7297177744475323,
      1.7015478640665378,
      1.674112254493139,
      1.6473654356318101,
      1.6212691863483193,
      1.5957907196834487,
      1.5709013489543633,
      1.5465755338331841,
      1.5227901942327193,
      1.4995242159686695,
      1.4767583045264492,
      1.4544747972284748,
      1.432656966315357,
      1.4112888691369245,
      1.390355303914215,
      1.3698418981469562,
      1.349735625692019,
      1.3300241480884876,
      1.3106954234127297,
      1.2917377621798858,
      1.2731398588718819,
      1.2548908475738874,
      1.2369807241724058,
      1.2194000493406285,
      1.2021395629640224,
      1.1851902368617129,
      1.1685433071467823,
      1.1521904274736634,
      1.1361238170039738,
      1.1203364606108865,
      1.1048221663577025,
      1.0895747089587577,
      1.0745877638110517,
      1.059855028095043,
      1.0453702849800715,
      1.0311274435495816,
      1.0171205652578919,
      1.0033438777380792,
      0.9897917824074228,
      0.976458856043927,
      0.9633398511763592,
      0.9504296925395181,
      0.9377234730953449,
      0.9252164485839363,
      0.9129040322084309,
      0.900781789066852,
      0.888845455423224,
      0.8770917013891055,
      0.8655176985332304,
      0.8541203350202479,
      0.8428963430831773,
      0.831842382603098,
      0.8209550975034828,
      0.8102311524563327,
      0.7996672581180986,
      0.7892601863215171,
      0.7790067792205536,
      0.7689039548426816,
      0.7589487096126821,
      0.7491384336218032,
      0.7394716916947331,
      0.729946849073388,
      0.7205613734363112,
      0.7113123857296677,
      0.7021970986456474,
      0.693212849815843,
      0.6843570823059144,
      0.6756273316751521,
      0.6670212153913184,
      0.6585364255881628,
      0.6501707229813216,
      0.6419219318206887,
      0.6337879366486202,
      0.625766678940552,
      0.6178561543765708,
      0.6100544106504255,
      0.6023595449369805,
      0.5947697023750422,
      0.5872830737947349,
      0.5798978946066938,
      0.5726124430813346,
      0.5654250387904962,
      0.5583340409898135,
      0.5513378476609014,
      0.544434894026575,
      0.5376236514866857,
      0.5309026264473264,
      0.5242703588709425,
      0.517725421876159,
      0.5112664202061826,
      0.5048919893255002,
      0.4986007944887541,
      0.4923915298371371,
      0.48626291757750484,
      0.4802137073513635,
      0.4742426750598803,
      0.46834862216560974,
      0.46253037506755346,
      0.45678678435025566,
      0.45111672390963053,
      0.445519090696469,
      0.43999280360577003,
      0.43453680316724336,
      0.4291500507937992,
      0.42383152835338034,
      0.418580237456696,
      0.41339519886934495,
      0.4082754521011743,
      0.4032200550228853,
      0.3982280832067274,
      0.3932986295270972,
      0.3884308036917152,
      0.3836237318328494,
      0.3788765559816151,
      0.37418843385939177,
      0.3695585383266868,
      0.3649859747488552,
      0.3604696425026874,
      0.35600850376137555,
      0.35160162047017723,
      0.34724812743025735,
      0.3429472138103587,
      0.33869810998175337,
      0.3345000784866962,
      0.33035240750701833,
      0.3262544063402402,
      0.3222054021690934,
      0.31820473778416625,
      0.31425176992159776,
      0.3103458678300212,
      0.3064864126226699,
      0.3026727963835518,
      0.2989044216484426,
      0.2951807011085569,
      0.2915010570014168,
      0.28786492088909227,
      0.28427173339010314,
      0.2807209439678832,
      0.2772121308552751,
      0.27374522657925476,
      0.2703201705681753,
      0.2669367526372952,
      0.263594662950346,
      0.2602935611943205,
      0.25703313516455784,
      0.2538130234510702,
      0.25063281598206927,
      0.24749207131955772,
      0.24439032869013522,
      0.24132711612028318,
      0.23830195609355748,
      0.23531436952807203,
      0.23236387838207778,
      0.2294501671611837,
      0.2265731439951928,
      0.22373263642270155,
      0.2209283210133879,
      0.21815980317377462,
      0.21542666633639923,
      0.21272848082112408,
      0.21006481009053693,
      0.20743521499493975,
      0.20483925645548573,
      0.20227649746132895,
      0.19974650446546674,
      0.19724884809523816,
      0.1947831038303882,
      0.19234885229473198,
      0.18994567957022943,
      0.18757326800812454,
      0.1852313558065342,
      0.182919637920622,
      0.18063778111455142,
      0.17838543488029976,
      0.1761622386312494,
      0.17396782663625238,
      0.1718018313237261,
      0.16966388554727171,
      0.16755362412143515,
      0.1654706848109784,
      0.16341470890563067,
      0.16138534174492625,
      0.15938223289654613,
      0.15740503633262729,
      0.15545341066222326,
      0.15352701899446167,
      0.1516255288650212,
      0.1497486124168832,
      0.1478959462692874,
      0.14606721138715892,
      0.14426209329998094,
      0.14248028171065297,
      0.1407214705748583,
      0.13898535814170335,
      0.1372716467851751,
      0.13558003524351409,
      0.1339101952738834,
      0.13226180450863706,
      0.13063455727438994,
      0.12902816052988209,
      0.12744233102721397,
      0.12587679332229001,
      0.12433127848694725,
      0.12280552300290619,
      0.12129926816398186,
      0.11981225962161154,
      0.11834424719334921,
      0.11689498442430497,
      0.11546422835181569,
      0.1140517394533834,
      0.11265728162521141,
      0.11128062200024881,
      0.10992153082159128,
      0.10857978153627107,
      0.10725515041602639,
      0.1059474168176653,
      0.10465636307182147,
      0.10338177445830599,
      0.10212343902599257,
      0.10088114765771863,
      0.09965469394736273,
      0.09844387430273079,
      0.09724848774629814,
      0.0960683360495832,
      0.09490322339335076,
      0.09375295665976552,
      0.09261734522487518,
      0.09149620098912736,
      0.09038933835913242,
      0.08929657413043149,
      0.08821772751216879,
      0.08715261997550071,
      0.08610107550502842,
      0.08506292027975496,
      0.08403798273750325,
      0.08302609355817445,
      0.08202708561057899,
      0.08104079395158327,
      0.08006705587786948,
      0.0791057107118523,
      0.07815659991983637,
      0.07721956697665434,
      0.07629445740326948,
      0.07538111877370572,
      0.07447940056365794,
      0.07358915421637657,
      0.0727102331711754,
      0.07184249260635414,
      0.07098578970404644,
      0.07013998338793169,
      0.06930493453171027,
      0.06848049099807632,
      0.06766645818223664,
      0.06686265229244918,
      0.06606890842067495,
      0.06528507535157801,
      0.0645110116141033,
      0.06374658303362911,
      0.06299166094837043,
      0.06224612086675469,
      0.061509841796066105,
      0.0607827056162014,
      0.06006459643240776,
      0.05935540049657609,
      0.05865500592017949,
      0.05796330248329995,
      0.057280181494488984,
      0.05660553585379838,
      0.05593925986703744,
      0.05528124933921695,
      0.05463140133617422,
      0.0539896086616676,
      0.05335573194798854,
      0.052729628401134224,
      0.052111171176711366,
      0.05150024470682158,
      0.05089674185339916,
      0.05030056144374368,
      0.04971160686654706,
      0.04912978504139097,
      0.048555005688222,
      0.04798718081761748,
      0.0474262243316621,
      0.04687205177839319,
      0.04632457999800067,
      0.045783727149462924,
      0.04524941266562295,
      0.044721557035246405,
      0.04420008184350124,
      0.04368490961308105,
      0.043175963992547695,
      0.042673169452614304,
      0.04217645146907624,
      0.04168573641707633,
      0.04120095165007244,
      0.040722025385329305,
      0.0402488866881732,
      0.03978146547864217,
      0.03931969253493036,
      0.03886350069563452,
      0.038412826016964594,
      0.03796760479423309,
      0.037527773170650265,
      0.03709326726667529,
      0.0366640235637664,
      0.0362399789776475,
      0.03582106296319256,
      0.035407184623277174,
      0.034998257985971164,
      0.03459420591031965,
      0.03419495752377253,
      0.03380044668289182,
      0.03341061080217985,
      0.03302538993844009,
      0.03264472627388422,
      0.03226856366739942,
      0.0318968471712643,
      0.03152952299139441,
      0.031166538445658865,
      0.03080784169752897,
      0.03045338164573331,
      0.030103107883403014,
      0.0297569707969114,
      0.029414921241369036,
      0.029076910812786082,
      0.028742891747941042,
      0.028412816820212208,
      0.028086639307354583,
      0.027764313222387593,
      0.027445793063681057,
      0.02713103377991505,
      0.026819990978802832,
      0.026512620708745275,
      0.026208879519020185,
      0.025908724528358608,
      0.025612113416016734,
      0.02531900431013239,
      0.025029355884747095,
      0.02474312724890173,
      0.024460277907347637,
      0.024180768018654045,
      0.023904558067396622,
      0.02363160907210396,
      0.023361882585234243,
      0.023095340453499875,
      0.022831945094671978,
      0.02257165936306801,
      0.022314446531356804,
      0.02206027026099151,
      0.0218090947018486,
      0.021560884332474158,
      0.021315604145488058,
      0.02107321954206992,
      0.0208336963873447,
      0.02059700087658725,
      0.02036309966362403,
      0.02013195971111299,
      0.01990354837707582,
      0.01967783345263543,
      0.01945478312480023,
      0.01923436590884128,
      0.019016550665043538,
      0.018801306743761136,
      0.018588603782559186,
      0.018378411727144037,
      0.018170700936152664,
      0.017965442160406415,
      0.01776260642186698,
      0.017562165046288818,
      0.017364089684507294,
      0.017168352532013098,
      0.016974925952636766,
      0.01678378259299945,
      0.016594895567794768,
      0.016408238252587005,
      0.016223784230235596,
      0.01604150758193207,
      0.015861382600796652,
      0.015683383869316867,
      0.01550748622323791,
      0.01533366488826499,
      0.01516189535107044,
      0.014992153422160683,
      0.014824415071143682,
      0.014658656586723488,
      0.014494854763822547,
      0.014332986475132247,
      0.014173028892394114,
      0.014014959466678233,
      0.013858755846198091,
      0.013704396043267961,
      0.013551858271682479,
      0.013401120962918518,
      0.013252162910641003,
      0.013104963079265996,
      0.012959500763169908,
      0.012815755480065073,
      0.0126737069097486,
      0.012533335062435936,
      0.012394620117591036,
      0.012257542549795882,
      0.012122082893068433,
      0.011988222039829676,
      0.011855941235837796,
      0.011725221847690545,
      0.011596045416794456,
      0.01146839368244799,
      0.011342248656564727,
      0.011217592565588946,
      0.011094407831848204,
      0.010972677087246363,
      0.01085238313674688,
      0.010733509107437481,
      0.010616038121290854,
      0.01049995363618758
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785815588941334,
      10.568303385778934,
      10.341480289661416,
      10.108207646637448,
      9.871021195557454,
      9.632076364810253,
      9.393278882754329,
      9.156254953374347,
      8.92238618564986,
      8.692805357849227,
      8.46838219952649,
      8.24972543113936,
      8.03719414252414,
      7.830920138365644,
      7.6308389046274065,
      7.436726159324854,
      7.2482331291580895,
      7.064921610547456,
      6.8862969559735445,
      6.711837290467482,
      6.5410185373544,
      6.3733327872913375,
      6.208301711691032,
      6.045492250327946,
      5.884530247297988,
      5.725113635788074,
      5.567013231960225,
      5.410067671823177,
      5.254185599014189,
      5.099351301378613,
      4.945623257030999,
      4.793117279992527,
      4.642000978620693,
      4.492504141206553,
      4.344913364040321,
      4.19956095595346,
      4.056812613828892,
      3.917058766528737,
      3.780713308372303,
      3.6481853739813777,
      3.519855471230571,
      3.3960660312943225,
      3.27711385113828,
      3.1632446548913284,
      3.0546498416144665,
      2.9514657118518395,
      2.8537778306335104,
      2.7616107242638313,
      2.674939964636588,
      2.593692809534138,
      2.5177401038606195,
      2.44689173730357,
      2.3809049922560126,
      2.319506519236105,
      2.2624016992971137,
      2.2092694754280466,
      2.1597506309659695,
      2.113447360682034,
      2.069971720833871,
      2.028974542012703,
      1.9901093666565426,
      1.9530656446056947,
      1.91759910964245,
      1.883519222350696,
      1.8506742239999452,
      1.8189407588016666,
      1.7882130532445482,
      1.758401587370457,
      1.7294346185584668,
      1.7012535264500872,
      1.6738068462045668,
      1.6470491284690858,
      1.6209421758413831,
      1.595453216420899,
      1.5705535723163075,
      1.5462177068112828,
      1.522422540964543,
      1.4991469590334818,
      1.4763715300568165,
      1.4540785175290438,
      1.4322512521084696,
      1.4108738302592383,
      1.389931076049801,
      1.369408643989179,
      1.3492935337076102,
      1.329573405076404,
      1.3102362134899719,
      1.2912702657859865,
      1.2726642529066277,
      1.2544073297041305,
      1.236489525638036,
      1.2189013775519153,
      1.20163360711653,
      1.1846771726152872,
      1.1680233324639133,
      1.15166389989274,
      1.135591074872612,
      1.1197978063601637,
      1.1042779379243375,
      1.0890252440065162,
      1.0740333269635864,
      1.0592958329232813,
      1.044806509114781,
      1.0305592397889034,
      1.0165480682761583,
      1.0027672087936357,
      0.989211052920487,
      0.9758741706588541,
      0.962751308989174,
      0.9498373885779778,
      0.9371274989842597,
      0.9246168933631691,
      0.9123009827950819,
      0.9001753303113166,
      0.8882357620742569,
      0.8764790780623588,
      0.8649023751121976,
      0.8535024906903599,
      0.8422761214347316,
      0.8312199027363303,
      0.8203304609552728,
      0.8096044490164783,
      0.7990385687158513,
      0.7886295854304816,
      0.7783743369403608,
      0.7682697380514892,
      0.7583127824978148,
      0.7485011149581235,
      0.738833347502765,
      0.7293077549704668,
      0.7199217552672411,
      0.7106724120651411,
      0.7015568969889336,
      0.692572519023889,
      0.6837167018193844,
      0.6749869671764444,
      0.6663809230426111,
      0.6578962547347039,
      0.6495307180650828,
      0.6412821342471499,
      0.6331483853663814,
      0.6251274111347561,
      0.6172172056159215,
      0.6094158154559784,
      0.6017213370360135,
      0.5941319146922855,
      0.5866457387405409,
      0.5792610439251682,
      0.5719761078180149,
      0.5647892495575609,
      0.5576988281222106,
      0.550703240832309,
      0.5438009225448932,
      0.5369903441506583,
      0.5302700115231233,
      0.5236384644188025,
      0.5170942752823396,
      0.5106360484204107,
      0.5042624189905508,
      0.4979720516314985,
      0.491763640316499,
      0.48563590684034813,
      0.4795876002336811,
      0.4736174959375276,
      0.46772439507406316,
      0.46190712348542995,
      0.45616453140965907,
      0.4504954924994267,
      0.4448989031789896,
      0.4393736819860988,
      0.4339187689522624,
      0.42853312492192125,
      0.4232157312716042,
      0.4179655892432158,
      0.41278171927509844,
      0.40766316053593993,
      0.40260897038416016,
      0.39761822398372326,
      0.39269001384870683,
      0.38782344942140484,
      0.3830176563542025,
      0.3782717762336527,
      0.373584966341757,
      0.36895639912597866,
      0.3643851424662002,
      0.3598700912661419,
      0.35541022081378526,
      0.3510046020309764,
      0.34665237596088017,
      0.34235273588475146,
      0.3381049151239286,
      0.3339081781052576,
      0.32976181417816364,
      0.3256651332452244,
      0.32161746276112757,
      0.3176181456703036,
      0.3136665387303893,
      0.30976201114092494,
      0.30590394368994556,
      0.3020917282002203,
      0.2983247669442392,
      0.29460247233210257,
      0.2909242662617229,
      0.28728957995728494,
      0.28369785380014106,
      0.28014853803041767,
      0.2766412680790734,
      0.27317600798055663,
      0.2697526677958155,
      0.2663710168979506,
      0.2630307334042488,
      0.2597314863209167,
      0.2564729565278204,
      0.25325477057608914,
      0.25007650997143166,
      0.24693772745701936,
      0.24383795805396755,
      0.2407767267851661,
      0.23775355400176568,
      0.23476795894399421,
      0.2318194921446362,
      0.22890796981040204,
      0.2260332925060279,
      0.22319523821552048,
      0.22039343750757004,
      0.21762747335076899,
      0.21489691363506339,
      0.2122013180662779,
      0.2095402427516225,
      0.20691324335932237,
      0.2043198771959541,
      0.2017597048068962,
      0.1992322909543931,
      0.1967372051300099,
      0.19427402198543967,
      0.19184232151796157,
      0.18944175227421503,
      0.18707204544821163,
      0.1847329017430683,
      0.18242399013759356,
      0.1801449597238637,
      0.17789544798767548,
      0.17567508621248912,
      0.17348350305825821,
      0.17132032719451798,
      0.16918518881924965,
      0.16707772097357876,
      0.1649975602117879,
      0.16294434702443147,
      0.1609177261875167,
      0.15891734694433474,
      0.15694286302062696,
      0.15499393291912783,
      0.15307021953984087,
      0.1511713904233184,
      0.14929711773317902,
      0.14744707808675275,
      0.1456209525445768,
      0.14381842657446847,
      0.14203919000343157,
      0.1402829367913308,
      0.1385493651474728,
      0.13683817749495333,
      0.13514908037729706,
      0.13348175937834741,
      0.13183588648831002,
      0.13021115097631822,
      0.1286072563611857,
      0.12702391695458495,
      0.12546085568355017,
      0.12391780243341263,
      0.12239449307664002,
      0.12089066843331317,
      0.11940607382741031,
      0.11794045891256856,
      0.11649357704808037,
      0.1150651852853334,
      0.11365504404812841,
      0.11226291719350286,
      0.11088857191192834,
      0.10953177853079768,
      0.10819231035999437,
      0.1068699438399919,
      0.10556445850984952,
      0.10427563673743626,
      0.1030032637901759,
      0.10174712776914473,
      0.10050701962288461,
      0.0992827330246423,
      0.09807406443719659,
      0.09688081293265251,
      0.09570278026942886,
      0.09453977083861066,
      0.09339159153677651,
      0.09225805192114224,
      0.0911389638587079,
      0.09003414186410237,
      0.08894340284248249,
      0.08786656601914089,
      0.08680345299792924,
      0.0857538877708773,
      0.08471769662839389,
      0.08369470806479042,
      0.08268475278404716,
      0.08168766375131696,
      0.08070327618618083,
      0.07973142739838784,
      0.07877195679031133,
      0.07782470587960567,
      0.07688951827217923,
      0.07596623953473673,
      0.07505471727806118,
      0.07415480112044391,
      0.07326634253113642,
      0.07238919489379414,
      0.07152321364689276,
      0.07066825606586666,
      0.06982418123326194,
      0.06899084997762459,
      0.06816812009157655,
      0.06735580975687744,
      0.06655372816769173,
      0.06576170570357191,
      0.0649795877410843,
      0.06420723054877676,
      0.06344449837889736,
      0.06269126153143995,
      0.06194739492767984,
      0.06121277707722855,
      0.060487289471943914,
      0.0597708160740535,
      0.05906324299806664,
      0.05836445838858311,
      0.05767435201316282,
      0.0569928152462348,
      0.05631974106207818,
      0.05565502382737498,
      0.054998559276865706,
      0.054350244589825264,
      0.05370997821087919,
      0.053077645041575305,
      0.05245310009594057,
      0.05183620803256516,
      0.0512268474019672,
      0.05062490684495366,
      0.050030282316226075,
      0.04944287526808926,
      0.048862591361234484,
      0.04828933943033986,
      0.04772303085003233,
      0.04716357908540917,
      0.04661089939720302,
      0.04606490851858131,
      0.045525524547594634,
      0.04499266683541269,
      0.044466255917457176,
      0.04394621345539373,
      0.043432462062784796,
      0.042924925293077655,
      0.04242352774294207,
      0.041928194920576915,
      0.04143885338195131,
      0.040955430428649436,
      0.04047785440352486,
      0.04000605443049121,
      0.03953996044993768,
      0.03907950342273311,
      0.038624616087850124,
      0.03817523460906182,
      0.03773129538348344,
      0.037292734657273424,
      0.0368594886490392,
      0.036431493902086304,
      0.0360086874660734,
      0.03559100686116141,
      0.035178386537878685,
      0.034770740989023434,
      0.034367982821847595,
      0.033970034070411215,
      0.03357682350815469,
      0.03318828502440404,
      0.032804356141607864,
      0.03242497740572622,
      0.03205009140635699,
      0.03167964246670022,
      0.03131357628287511,
      0.03095183974014332,
      0.0305943806864354,
      0.030241147947766105,
      0.029892091105920286,
      0.029547160393652468,
      0.029206306757682897,
      0.028869481886249347,
      0.02853663798514109,
      0.02820772793441707,
      0.02788270510072499,
      0.0275615234222184,
      0.027244137393502538,
      0.02693050208807581,
      0.02662057318289679,
      0.026314306889890855,
      0.02601165989587953,
      0.02571258939346986,
      0.02541705306932828,
      0.02512500914210689,
      0.024836416348235166,
      0.02455123382820234,
      0.02426942131333203,
      0.023990938904331755,
      0.023715747233250862,
      0.02344380744908096,
      0.023175081116705548,
      0.022909530161634807,
      0.022647117039002167,
      0.02238780461826108,
      0.02213155627950843,
      0.021878335795429006,
      0.021628107335705925,
      0.02138083561294873,
      0.021136485680724796,
      0.020895022923964186,
      0.020656413228545764,
      0.02042062289229633,
      0.020187618530915698,
      0.01995736726531376,
      0.01972983655454074,
      0.019504994271877664,
      0.019282808540712557,
      0.019063248016786254,
      0.018846281701496354,
      0.018631878903349035,
      0.01842000932106722,
      0.018210643071092884,
      0.0180037505196968,
      0.017799302395659668,
      0.017597269834627616,
      0.017397624234070617,
      0.01720033737015468,
      0.017005381446144597,
      0.01681272890702003,
      0.016622352535164822,
      0.016434225476951052,
      0.01624832113125995,
      0.016064613127822393,
      0.01588307552920161,
      0.01570368272894561,
      0.015526409376728206,
      0.015351230399705245,
      0.015178121075993574,
      0.015007056963083992,
      0.014838013948381183,
      0.014670968122760298,
      0.014505895839460449,
      0.014342773761282963,
      0.014181578826296105,
      0.0140222883482419,
      0.013864879793916037,
      0.013709330911057365,
      0.013555619742863326,
      0.013403724548266107,
      0.013253623875634914,
      0.01310529652936667,
      0.01295872153145655,
      0.0128138781918185,
      0.012670746097077704,
      0.012529304960421244,
      0.0123895348601892,
      0.012251416059854033,
      0.01211492901969694,
      0.011980054485561284,
      0.011846773292352715,
      0.011715066670557075,
      0.011584916045393983,
      0.011456302976630669,
      0.01132920928333273,
      0.011203617061774846,
      0.011079508564129219,
      0.010956866224348329,
      0.010835672684616523,
      0.010715910930775575,
      0.010597564053823942,
      0.010480615292574866,
      0.01036504813943461
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785810885267017,
      10.568281096352031,
      10.341430328915463,
      10.108123594398887,
      9.870899993162789,
      9.631916475684976,
      9.393080070122638,
      9.156018095905964,
      8.922112649594991,
      8.692496881028589,
      8.468040631131704,
      8.24935252840667,
      8.036791459496389,
      7.830488953969362,
      7.6303801920295715,
      7.436240585843478,
      7.247721081411393,
      7.064383240510586,
      6.885732242223061,
      6.711246105831047,
      6.540400723632878,
      6.37268795758926,
      6.207629579412258,
      6.044792780951904,
      5.883803741708367,
      5.724360839958447,
      5.56623527610247,
      5.409266131539429,
      5.253362542885523,
      5.098509216034345,
      4.94476518797879,
      4.792246868501627,
      4.641122188157292,
      4.49162125104465,
      4.3440309064159806,
      4.1986836370526195,
      4.055945220901335,
      3.916206357031924,
      3.7798812047481958,
      3.6473785236379097,
      3.5190783616909735,
      3.3953226193006993,
      3.2764075085247777,
      3.162578135215444,
      3.054025265098894,
      2.95088457018126,
      2.853240882023802,
      2.761117904918321,
      2.674490524439198,
      2.5932850643319445,
      2.517371621522701,
      2.4465588880742652,
      2.380603739660402,
      2.319232621235101,
      2.262150844105409,
      2.2090370783421402,
      2.1595319004469036,
      2.1132374035938444,
      2.0697663832959003,
      2.0287700357010263,
      1.989902227300128,
      1.9528532323374153,
      1.9173794980358358,
      1.8832910373676637,
      1.8504364934726405,
      1.818692784113949,
      1.7879543220712264,
      1.7581318087044744,
      1.7291536619979242,
      1.7009613762408862,
      1.6735036143916955,
      1.64673499018768,
      1.6206173290423154,
      1.5951178733934561,
      1.5702079534147633,
      1.5458620365409104,
      1.5220570445445603,
      1.4987718599426239,
      1.4759869668715861,
      1.4536844918535046,
      1.431847822523064,
      1.4104610979959682,
      1.3895091708052847,
      1.3689777241660535,
      1.3488537849702436,
      1.3291250121423486,
      1.3097793592639628,
      1.2908051302078767,
      1.272191011915914,
      1.253926181272398,
      1.2360007009957095,
      1.2184050839358425,
      1.2011300339925979,
      1.1841664954903919,
      1.167505852903459,
      1.1511399949336014,
      1.135061042926039,
      1.1192619216962563,
      1.1037364983431728,
      1.0884785797720846,
      1.0734816983540922,
      1.0587394510936594,
      1.0442455501345629,
      1.0299938546253133,
      1.015978390056005,
      1.0021933582184996,
      0.9886331415859309,
      0.9752923033006852,
      0.9621655852175148,
      0.9492479037452116,
      0.9365343448998189,
      0.92402015900785,
      0.9117007548316693,
      0.899571693596002,
      0.8876288913646138,
      0.8758692785950587,
      0.8642898773937767,
      0.852887473768075,
      0.8416587290155003,
      0.830600253628838,
      0.8197086569101877,
      0.8089805796766443,
      0.7984127151619187,
      0.7880018225340356,
      0.7777447347831988,
      0.7676383631782886,
      0.757679699055149,
      0.7478666588434184,
      0.7381978790132072,
      0.72867154610792,
      0.7192850300995294,
      0.7100353375903999,
      0.7009195993626021,
      0.6919350964320935,
      0.6830792329429551,
      0.6743495171758925,
      0.6657435476916854,
      0.6572590033245299,
      0.6488936352651794,
      0.6406452612597182,
      0.6325117611143887,
      0.6244910726231049,
      0.616581188509372,
      0.608780154265004,
      0.6010860655480549,
      0.5934970660123243,
      0.5860113453755037,
      0.5786271377582651,
      0.5713427202793939,
      0.5641564114058398,
      0.5570665695497737,
      0.5500715916138229,
      0.5431699119759801,
      0.5363600011322192,
      0.5296403644868094,
      0.5230095412711994,
      0.5164661035971838,
      0.5100086553704714,
      0.5036358311460414,
      0.4973462952101196,
      0.49113874091859305,
      0.4850118897374901,
      0.4789644902189553,
      0.47299531750127916,
      0.467103172243045,
      0.461286879860176,
      0.4555452901706303,
      0.44987727635703945,
      0.444281734267253,
      0.43875758208130994,
      0.4333037595337921,
      0.4279192270250717,
      0.42260296548793097,
      0.41735397576658045,
      0.41217127786645086,
      0.4070539105598448,
      0.4020009308660287,
      0.39701141350964286,
      0.3920844506138557,
      0.38721915101897025,
      0.3824146400681024,
      0.3776700590219716,
      0.37298456481604236,
      0.36835732952654376,
      0.363787383436927,
      0.35927361717203027,
      0.35481501912544666,
      0.3504106692375031,
      0.3460597147083678,
      0.34176135301280974,
      0.33751482010890677,
      0.33331938212178047,
      0.3291743295840308,
      0.32507897306887884,
      0.32103264043090085,
      0.3170346748065898,
      0.313084432771467,
      0.3091812834364876,
      0.3053246074652966,
      0.3015137964675361,
      0.29774825246167264,
      0.2940273874585692,
      0.29035062310100473,
      0.2867173903341493,
      0.2831271292337971,
      0.27957930940156783,
      0.27607361441722567,
      0.27261002077955865,
      0.2691884120826505,
      0.2658085393188612,
      0.26247007053956906,
      0.2591726840555024,
      0.25591605450676963,
      0.25269979702265244,
      0.24952348522192017,
      0.24638666611569937,
      0.24328887083280148,
      0.24022962148769228,
      0.23720843620196885,
      0.23422483279537826,
      0.2312784554732479,
      0.22836920618117323,
      0.2254969352825986,
      0.2226613686356883,
      0.21986210388234703,
      0.2170987057173566,
      0.21437072933454504,
      0.21167772570717425,
      0.20901924481601528,
      0.20639483811047443,
      0.2038040600720728,
      0.2012464692180174,
      0.19872162884137048,
      0.1962291074404334,
      0.19376847890279494,
      0.19133935656251153,
      0.1889414641163915,
      0.18657450847315815,
      0.18423816111767988,
      0.18193207105953846,
      0.1796558738200688,
      0.17740919767531219,
      0.17519166748457288,
      0.173002907505724,
      0.1708425435527504,
      0.16871020387314759,
      0.16660552008508836,
      0.16452812784784557,
      0.1624776670004566,
      0.1604537820224056,
      0.15845612190181238,
      0.15648434021889904,
      0.15453809521652523,
      0.15261704978775165,
      0.15072087150218158,
      0.14884923247997045,
      0.1470018092850358,
      0.14517828305382607,
      0.14337833921744148,
      0.14160166764364174,
      0.13984796242271685,
      0.13811692183158805,
      0.13640824825317036,
      0.13472164821605734,
      0.1330568240800067,
      0.1314134513674445,
      0.12979121289048287,
      0.12818980775387484,
      0.126608947263052,
      0.1250483522768105,
      0.12350775135105761,
      0.12198687926586065,
      0.12048547629952734,
      0.11900328740690773,
      0.11754006185914183,
      0.11609555290395768,
      0.11466951749055244,
      0.11326171606368551,
      0.11187191246537861,
      0.11049987389189316,
      0.10914537066500526,
      0.10780817619832325,
      0.1064880669674173,
      0.10518482249668112,
      0.10389822518467674,
      0.10262806038119023,
      0.10137411632136746,
      0.10013618398695136,
      0.09891405718735224,
      0.09770753240184059,
      0.0965164088282567,
      0.09534048833952967,
      0.0941795752839811,
      0.09303347670759231,
      0.09190200209594776,
      0.09078496346833481,
      0.08968217530255786,
      0.08859345457641538,
      0.08751862068470008,
      0.08645749530727184,
      0.08540990253351656,
      0.08437566869626598,
      0.08335462232827556,
      0.08234659426652466,
      0.08135141760566089,
      0.0803689276087782,
      0.07939896165147564,
      0.07844135922749004,
      0.07749596190163403,
      0.07656261325433253,
      0.07564115896709298,
      0.07473144678180295,
      0.07383332632165517,
      0.07294664916036288,
      0.07207126887303117,
      0.07120704096107588,
      0.07035382263124892,
      0.06951147305823331,
      0.06867985318036511,
      0.06785882583284608,
      0.06704822522898006,
      0.06624785790421844,
      0.06545754858137239,
      0.06467713871426177,
      0.06390648190323793,
      0.06314544064229158,
      0.06239388396587527,
      0.061651685944508317,
      0.06091872460064269,
      0.06019488111932417,
      0.05948003929682505,
      0.058774085142465474,
      0.058076906577918974,
      0.05738839328977302,
      0.056708436738559256,
      0.05603692997714907,
      0.05537376732893366,
      0.05471884464656106,
      0.05407205908012672,
      0.05343330926373337,
      0.052802495046531894,
      0.052179489920487813,
      0.051564149267847637,
      0.05095634426392674,
      0.05035595829705754,
      0.049762883751890405,
      0.04917701968309386,
      0.04859826997282441,
      0.048026542286342545,
      0.04746174720411055,
      0.046903797686782545,
      0.04635260859045218,
      0.045808096466111906,
      0.04527017934630769,
      0.04473877646766214,
      0.04421380830345502,
      0.04369519647341711,
      0.04318286368686387,
      0.04267673356897845,
      0.04217673083734945,
      0.041682781024655065,
      0.041194810735579845,
      0.04071274747214911,
      0.04023651957409306,
      0.03976605620011638,
      0.039301287484502546,
      0.038842144410810645,
      0.03838855962058369,
      0.037940469317400374,
      0.03749781004034037,
      0.03706051805137299,
      0.036628529760881705,
      0.03620178179125022,
      0.03578021128921588,
      0.03536375589043687,
      0.034952353876803066,
      0.03454594414532879,
      0.034144448022468285,
      0.03374777647124358,
      0.033355850461295404,
      0.03296859839060774,
      0.0325859539770429,
      0.0322078549340791,
      0.03183424197361465,
      0.03146505817355521,
      0.031100248338848568,
      0.030739758693428196,
      0.03038353672101214,
      0.030031530953365845,
      0.029683690772171648,
      0.02933996638946369,
      0.029000308690777344,
      0.028664669317030766,
      0.02833300047166153,
      0.028005255090276404,
      0.02768138660234335,
      0.02736134904480936,
      0.027045097054028126,
      0.026732585809049383,
      0.02642377095483417,
      0.02611860879765418,
      0.025817056105429826,
      0.02551907011670982,
      0.025224608535359027,
      0.02493362966400259,
      0.02464609233304112,
      0.024361955850754388,
      0.02408117993309097,
      0.023803724768470265,
      0.02352955105918255,
      0.023258619981888808,
      0.02299089322652299,
      0.022726332833473053,
      0.02246490132468315,
      0.02220656169696127,
      0.021951277397753734,
      0.021699012239408948,
      0.021449730486149697,
      0.02120339682869633,
      0.020959976323786423,
      0.02071943463269688,
      0.020481737601846073,
      0.02024685159029713,
      0.02001474333147276,
      0.01978538010183164,
      0.019558729363539872,
      0.019334759025074408,
      0.019113437359852506,
      0.018894732971011807,
      0.018678614960948813,
      0.01846505267028444,
      0.018254015856600133,
      0.01804547462037044,
      0.01783939947237603,
      0.01763576128151264,
      0.017434531230711602,
      0.017235680799194242,
      0.017039181829049548,
      0.016845006522693738,
      0.016653127410370318,
      0.01646351731222071,
      0.016276149410105786,
      0.01609099723126325,
      0.015908034487296486,
      0.01572723527014809,
      0.015548573994945305,
      0.015372025426895182,
      0.01519756450590831,
      0.015025166611094013,
      0.014854807298616818,
      0.014686462466689304,
      0.014520108286518953,
      0.014355721236063294,
      0.014193278096726797,
      0.01403275585605533,
      0.01387413170015921,
      0.013717383172133286,
      0.013562488058663804,
      0.013409424589182711,
      0.01325817109586356,
      0.013108706094173878,
      0.012961008452964945,
      0.012815057317868467,
      0.012670831978669533,
      0.012528312010725597,
      0.012387477290123142,
      0.012248307908489459,
      0.012110784139342815,
      0.011974886468864113,
      0.011840595748400112,
      0.011707892979238703,
      0.011576759359020831,
      0.011447176271572048,
      0.011319125341102031,
      0.011192588499934998,
      0.011067547860428333,
      0.01094398579750678,
      0.010821884771315814,
      0.010701227493780614,
      0.010581996854334134,
      0.010464176005569464,
      0.010347748290637102,
      0.01023269721607498
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785806191765227,
      10.56825885421364,
      10.341380479293392,
      10.108039743271446,
      9.870779096367155,
      9.63175700551297,
      9.392881799767215,
      9.155781911423105,
      8.921839923059029,
      8.6921893524422,
      8.46770015134772,
      8.248980853632158,
      8.036390142380565,
      7.830059272878719,
      7.629923119356298,
      7.4357567895172245,
      7.247210949078034,
      7.063846926113593,
      6.885169725197406,
      6.710657261858835,
      6.539785372717993,
      6.372045695841086,
      6.206960129575864,
      6.044096118025499,
      5.883080173027509,
      5.723611117195952,
      5.565460532856378,
      5.408467945692016,
      5.252542984359216,
      5.097670770745251,
      4.94391089923025,
      4.791380374647925,
      4.64024744898638,
      4.490742539552796,
      4.343152745155826,
      4.197810719920783,
      4.055082335997076,
      3.9153585574122123,
      3.779053788503824,
      3.6465764126325926,
      3.5183060178635857,
      3.394583974368599,
      3.275705911399956,
      3.161916317534881,
      3.0534053270780013,
      2.9503079844023197,
      2.852708390294632,
      2.7606294298305416,
      2.6740453046427284,
      2.5928814074060225,
      2.5170070897036902,
      2.446229849450125,
      2.3803061584802614,
      2.318962259198374,
      2.2619033953424776,
      2.2088079659882838,
      2.159316341125018,
      2.1130305145670847,
      2.0695640209996924,
      2.0285684225304723,
      1.9896979113879927,
      1.9526435854025053,
      1.9171626025884547,
      1.8830655269383432,
      1.8502014027466689,
      1.8184474197958507,
      1.7876981761593693,
      1.7578645944135922,
      1.7288752518591757,
      1.7006717568419172,
      1.6732028999222393,
      1.6464233579737129,
      1.6202949783463234,
      1.5947850177929888,
      1.5698648149787693,
      1.5455088406368862,
      1.5216940166491126,
      1.4983992240962005,
      1.4756049440945003,
      1.453293129187929,
      1.4314471404626086,
      1.4100511709677952,
      1.389090109669071,
      1.3685496743611074,
      1.3484169220608633,
      1.3286795146174741,
      1.3093254054752703,
      1.290342896854098,
      1.2717206732541115,
      1.253447934076475,
      1.235514775319381,
      1.2179116866176498,
      1.200629354314435,
      1.1836587698676513,
      1.16699146126858,
      1.1506192682107852,
      1.1345342479720002,
      1.1187293113079797,
      1.1031983088977169,
      1.0879351073888042,
      1.0729332203985222,
      1.0581861897816522,
      1.0436876892803066,
      1.029431551007287,
      1.0154117811944046,
      1.0016225678451414,
      0.9880582830680064,
      0.9747134827009024,
      0.9615829027222614,
      0.9486614553451219,
      0.9359442233058617,
      0.9234264540086718,
      0.9111035539560729,
      0.8989710822163591,
      0.8870250718863337,
      0.8752625467191897,
      0.8636804571971297,
      0.8522755403416005,
      0.8410444236044606,
      0.8299836937112682,
      0.8190899429127045,
      0.8083598004785022,
      0.7977899513315097,
      0.7873771486276998,
      0.7771182209146209,
      0.767010076167071,
      0.7570497765525985,
      0.7472354729226476,
      0.7375657526021748,
      0.7280387262221075,
      0.7186517238086454,
      0.7094017007727194,
      0.7002857512198023,
      0.6913011302808924,
      0.6824452242812354,
      0.6737155290971559,
      0.6651096346038055,
      0.6566252134407291,
      0.6482600125366719,
      0.6400118465001776,
      0.6318785928800851,
      0.6238581879270784,
      0.6159486232706198,
      0.6081479432648583,
      0.6004542424021515,
      0.5928656635403835,
      0.5853803959880259,
      0.5779966732768771,
      0.5707127719273763,
      0.5635270100713373,
      0.5564377454824204,
      0.5494433748270496,
      0.5425423319302118,
      0.5357330866405623,
      0.529014144045993,
      0.5223840429796427,
      0.5158413550155214,
      0.5093846836302329,
      0.5030126630522026,
      0.4967239571599607,
      0.4905172587891202,
      0.48439128886850796,
      0.47834479556819925,
      0.47237655356472386,
      0.46648536312234357,
      0.4606700492227713,
      0.4549294611281191,
      0.4492624715411872,
      0.4436679760279875,
      0.4381448922214221,
      0.4326921593692173,
      0.4273087377197007,
      0.4219936077990183,
      0.4167457698106277,
      0.4115642434140646,
      0.40644806691860497,
      0.401396296936548,
      0.3964080078372539,
      0.3914822913338005,
      0.3866182559753444,
      0.3818150265216956,
      0.37707174378553043,
      0.3723875643342456,
      0.36776165997703886,
      0.36319302426771816,
      0.3586805432506066,
      0.35422321817538976,
      0.349820137878892,
      0.3454704555711637,
      0.3411733728867984,
      0.33692812858976556,
      0.3327339905706195,
      0.32859025038384604,
      0.3244962193019952,
      0.3204512256079375,
      0.3164546124297203,
      0.31250573644248253,
      0.30860396660715134,
      0.30474868333800786,
      0.30093927802011666,
      0.2971751522916171,
      0.2934557179422326,
      0.2897803962701809,
      0.2861486178768171,
      0.28255982255568096,
      0.27901349945767673,
      0.27550939595001805,
      0.27204747970656457,
      0.2686276096497453,
      0.26524951963250193,
      0.26191287474735353,
      0.2586173587577595,
      0.2553626357693532,
      0.25214831065022225,
      0.2489739496469573,
      0.2458390947372542,
      0.24274327325305844,
      0.23968600466936885,
      0.2366668054109535,
      0.23368520157602465,
      0.2307409777272833,
      0.22783404773127716,
      0.2249642151761451,
      0.22213115562337324,
      0.21933443771828862,
      0.21657361046880166,
      0.2138482182242723,
      0.21115780452683325,
      0.20850191420315303,
      0.2058800950414272,
      0.20329189903446865,
      0.20073688302915227,
      0.19821460898828175,
      0.1957246446300832,
      0.19326658032907676,
      0.19084011349479807,
      0.1884449592842434,
      0.18608079274766637,
      0.18374726355894908,
      0.18144400591573473,
      0.17917064535697247,
      0.17692680310961667,
      0.17471209931659257,
      0.17252615518474687,
      0.17036859417509784,
      0.16823904306783974,
      0.16613713259422458,
      0.16406249771453302,
      0.16201477788704008,
      0.1599936172146043,
      0.15799866441254387,
      0.15602957293487202,
      0.1540860010309206,
      0.15216761165602696,
      0.15027407228725734,
      0.14840505503847068,
      0.14656023661000833,
      0.14473929802923166,
      0.14294192482356394,
      0.14116780694575484,
      0.1394166384833688,
      0.13768811769246286,
      0.13598194703056693,
      0.13429783303089435,
      0.13263548625903415,
      0.13099459632045585,
      0.12937483995055615,
      0.12777591104272748,
      0.12619751739183324,
      0.12463937747289763,
      0.12310121816813539,
      0.1215827731345376,
      0.12008378191425445,
      0.11860398902065598,
      0.1171431433850004,
      0.11570099805359498,
      0.11427730986028031,
      0.11287183922011575,
      0.11148434992860162,
      0.1101146091056553,
      0.1087623871826389,
      0.10742745755680005,
      0.1061095968221382,
      0.10480858456554829,
      0.10352420322406976,
      0.10225623825075153,
      0.10100447785802642,
      0.09976871315259368,
      0.09854873790458578,
      0.09734434866949666,
      0.09615534471611947,
      0.09498152791949997,
      0.09382270276443262,
      0.09267867640926016,
      0.09154925849174587,
      0.09043426108981498,
      0.08933349872283362,
      0.08824678845675524,
      0.08717394975110256,
      0.08611480435925574,
      0.08506917637649856,
      0.08403689216285126,
      0.0830177804269095,
      0.08201167210474518,
      0.08101840030084728,
      0.08003780033257371,
      0.079069709616764,
      0.07811396775522637,
      0.07717041641149165,
      0.07623889923961723,
      0.07531926202083743,
      0.07441135257235508,
      0.07351502058728523,
      0.07263011774881704,
      0.07175649763819095,
      0.07089401581538773,
      0.0700425296014426,
      0.06920189828420478,
      0.06837198291754913,
      0.06755264636281223,
      0.06674374076081852,
      0.06594507587926589,
      0.06515646986108269,
      0.06437775974859145,
      0.06360879602888145,
      0.06284943911141412,
      0.06209955661654928,
      0.06135902159542845,
      0.060627711381233115,
      0.059905506720729605,
      0.05919229116096095,
      0.05848795053852741,
      0.057792372716347094,
      0.05710544744237837,
      0.056427066094722526,
      0.05575712168744052,
      0.05509550869489771,
      0.05444212299906466,
      0.05379686185835142,
      0.05315962388784598,
      0.05253030896837595,
      0.05190881338578689,
      0.051295002501467415,
      0.050688737348897915,
      0.050089894397034596,
      0.049498361220180434,
      0.04891403344692877,
      0.04833681263709655,
      0.04776660481466485,
      0.0472033194887414,
      0.046646868910602164,
      0.0460971674430488,
      0.04555413131660696,
      0.04501767838630774,
      0.044487727859847344,
      0.04396420008177825,
      0.043447016694386796,
      0.042936100345164374,
      0.042431374821560876,
      0.041932764741421685,
      0.04144019580965072,
      0.04095359458911835,
      0.04047288865033265,
      0.03999800654042833,
      0.039528877472837294,
      0.039065431646128836,
      0.03860760009581224,
      0.03815531551604207,
      0.037708514084019054,
      0.03726713240216364,
      0.03683110692381933,
      0.03640037410284262,
      0.03597487069276899,
      0.03555453396403754,
      0.03513930167869171,
      0.034729112082788505,
      0.034323904050076244,
      0.03392361741259579,
      0.03352818261158062,
      0.03313751292174939,
      0.032751527571456204,
      0.03237015387213067,
      0.031993325051560086,
      0.03162097868902297,
      0.031253055631878426,
      0.030889499226789126,
      0.030530254567198163,
      0.030175268456928403,
      0.029824488842635794,
      0.02947786486175698,
      0.029135346484455055,
      0.02879688454377941,
      0.02846243059121967,
      0.02813193689474556,
      0.02780535629020577,
      0.027482642359649555,
      0.02716374920488598,
      0.0268486314970524,
      0.026537244420097115,
      0.026229543733913972,
      0.025925485814388558,
      0.025625027422030374,
      0.02532812584772326,
      0.025034739019120372,
      0.02474482523081594,
      0.024458343423315317,
      0.024175252850427147,
      0.02389551335232884,
      0.023619085255469893,
      0.023345929382771094,
      0.023076006963642436,
      0.02280927965399931,
      0.02254570964686218,
      0.022285259587778515,
      0.02202789251126571,
      0.02177357181052723,
      0.02152226153930573,
      0.021273926035635323,
      0.0210285300812502,
      0.020786038785636313,
      0.020546417750097964,
      0.020309633009183807,
      0.020075650969077322,
      0.019844438549608,
      0.019615962901908944,
      0.019390191616889173,
      0.01916709266160294,
      0.018946634342937505,
      0.018728785374205085,
      0.018513514854246987,
      0.01830079227983554,
      0.018090587496144693,
      0.01788287071217058,
      0.01767761243467899,
      0.01747478357528086,
      0.017274355368235773,
      0.017076299404001034,
      0.016880587587731956,
      0.016687192143696152,
      0.016496085658909886,
      0.016307241052067968,
      0.01612063155000619,
      0.015936230754594768,
      0.01575401245637259,
      0.015573950792642172,
      0.015396020196788937,
      0.01522019553990975,
      0.015046451930462787,
      0.014874764622937131,
      0.014705109302484733,
      0.014537461900504348,
      0.014371798608337817,
      0.014208095930288513,
      0.014046330705895197,
      0.013886480025442075,
      0.013728521222810817,
      0.01357243188183739,
      0.013418189952200588,
      0.013265773522807741,
      0.013115160939396858,
      0.012966330891425962,
      0.012819262258399956,
      0.012673934179700386,
      0.012530326074539314,
      0.012388417644002619,
      0.012248188619497894,
      0.012109619160408638,
      0.011972689642654738,
      0.011837380677089256,
      0.011703673058869102,
      0.011571547800251316,
      0.01144098625970922,
      0.01131196983327499,
      0.011184480288807409,
      0.011058499586332121,
      0.010934009794317242,
      0.010810993324865792,
      0.010689432737392935,
      0.010569310803765527,
      0.010450610491591357,
      0.010333314999140336,
      0.010217407613115452,
      0.010102871967477257
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785801508435963,
      10.568236661398089,
      10.341330745013403,
      10.107956093190133,
      9.870658503021941,
      9.6315979528812,
      9.39268407063541,
      9.155546397939913,
      8.921568000109493,
      8.691882760959222,
      8.46736074126005,
      8.248610381280518,
      8.035990159165657,
      7.829631056584517,
      7.629467642442773,
      7.435274720088502,
      7.246702675355586,
      7.063312603001406,
      6.884609334702066,
      6.710070682680848,
      6.539172347512352,
      6.3714057586698125,
      6.206293021931691,
      6.043401831133221,
      5.882359029262362,
      5.722863881744404,
      5.564688351994204,
      5.407672407876124,
      5.251726167506972,
      5.096835166858337,
      4.9430595551746555,
      4.790516930931011,
      4.639375864162421,
      4.489867082388185,
      4.342277932634431,
      4.196941237799624,
      4.054222964370164,
      3.9145143386466894,
      3.7782300049897737,
      3.6457779705931683,
      3.5175373626907085,
      3.393849020728618,
      3.2750079908771643,
      3.16125814520971,
      3.0527889877026,
      2.949734937550636,
      2.8521793665056063,
      2.7601443422663317,
      2.6736033838038873,
      2.5924809559408555,
      2.5166456672308892,
      2.4459038233177286,
      2.380011494243974,
      2.318694721499536,
      2.2616586820033717,
      2.2085815053723494,
      2.15910335600785,
      2.112826129950231,
      2.0693641014613178,
      2.0283691987322654,
      1.9894959403342132,
      1.9524362461591636,
      1.916947984735429,
      1.8828422700044027,
      1.8499685460639708,
      1.8182042737503745,
      1.7874442366943981,
      1.757599577869226,
      1.7285990332629881,
      1.7003843251471398,
      1.6729043712391378,
      1.6461139108418983,
      1.6199748136983227,
      1.594454350157189,
      1.569523866498105,
      1.5451578374989758,
      1.521333185790801,
      1.4980287904846712,
      1.4752251295467202,
      1.4529040450449962,
      1.4310487873757862,
      1.4096436100766412,
      1.3886734427536422,
      1.3681240401529382,
      1.347982492546564,
      1.3282364651382803,
      1.308873911915521,
      1.2898831346807889,
      1.2712528162162453,
      1.2529721779397422,
      1.2350313501523387,
      1.2174207992261326,
      1.2001312002050715,
      1.1831536951681958,
      1.1664798363360631,
      1.1501013884228335,
      1.1340103560025594,
      1.1181996424724725,
      1.1026630871890843,
      1.0873945984675253,
      1.072387702858346,
      1.0576358871500018,
      1.0431327864639817,
      1.0288722059117847,
      1.0148481318898854,
      1.0010547383913426,
      0.9874863874448969,
      0.974137627409288,
      0.9610031887702871,
      0.948077979062648,
      0.9353570775141703,
      0.9228357286299022,
      0.9105093365214659,
      0.8983734580691733,
      0.8864243007250757,
      0.8746589053522799,
      0.8630741572423328,
      0.8516667484301778,
      0.8404332746178569,
      0.8293703007909944,
      0.8184744043162537,
      0.8077422032447131,
      0.7971703746633642,
      0.7867556662364195,
      0.7764949024831995,
      0.7663849881400777,
      0.7564231246182617,
      0.7466076624015175,
      0.7369370712302974,
      0.7274093976684116,
      0.7180219394799715,
      0.7087716056480058,
      0.6996554572385651,
      0.690670726069276,
      0.6818147821091188,
      0.6730851099251374,
      0.6644792915136764,
      0.6559949938158266,
      0.6476299598116046,
      0.6393820013333018,
      0.6312489936751626,
      0.6232288713417353,
      0.6153196248663237,
      0.6075192975363701,
      0.5998259833579617,
      0.592237824461416,
      0.5847530093309191,
      0.577369771052435,
      0.5700863857922248,
      0.5629011709041309,
      0.5558124836393317,
      0.5488187201860022,
      0.5419183140308415,
      0.5351097346904435,
      0.5283914866664756,
      0.5217621083263816,
      0.5152201706382757,
      0.5087642766058338,
      0.5023930600601847,
      0.49610518465426595,
      0.4898993427064469,
      0.4837742547125086,
      0.47772866843672246,
      0.4717613579677312,
      0.465871123124799,
      0.46005678853105814,
      0.45431720301830114,
      0.44865123880754443,
      0.4430577910276666,
      0.43753577696477675,
      0.43208413540172896,
      0.4267018260495714,
      0.42138782897206756,
      0.41614114413272774,
      0.41096079066024555,
      0.4058458065206638,
      0.40079524791173604,
      0.39580818883938074,
      0.3908837204199696,
      0.3860209507242242,
      0.3812190043754899,
      0.3764770218543847,
      0.37179415917137637,
      0.3671695737432701,
      0.3626022291439219,
      0.3580910212219585,
      0.35363496203378725,
      0.3492331477898339,
      0.3448847366571321,
      0.34058893356398634,
      0.33634497938510133,
      0.33215214340210814,
      0.3280097181996768,
      0.32391701554389296,
      0.3198733639663229,
      0.31587810662324206,
      0.3119306000719288,
      0.30803021312180556,
      0.30417632599915684,
      0.30036832974771793,
      0.296605625813324,
      0.29288762560876125,
      0.28921375018588746,
      0.28558342978602197,
      0.281996103725746,
      0.2784512988623751,
      0.27494880412635947,
      0.2714885775014838,
      0.2680704547421511,
      0.2646941534658865,
      0.261359339980733,
      0.2580657025970435,
      0.2548128916912126,
      0.2516005025574993,
      0.2484280948013687,
      0.24529520552037348,
      0.24220135876797708,
      0.23914607170502003,
      0.23612885893836358,
      0.2331493208181544,
      0.23020735111165608,
      0.22730281192583907,
      0.22443546425146801,
      0.2216049410521491,
      0.21881078747141824,
      0.216052540499027,
      0.21332973622163537,
      0.21064191235635382,
      0.20798860981050868,
      0.20536937364259272,
      0.20278375387413217,
      0.20023130597754507,
      0.19771159109369602,
      0.19522417671771827,
      0.1927687314336941,
      0.19034497947655588,
      0.18795259990804838,
      0.18559124325854678,
      0.1832605424430475,
      0.18096012021757182,
      0.17868959423457012,
      0.1764485805187926,
      0.17423669560584593,
      0.17205355823020746,
      0.16989879012989917,
      0.1677720169958024,
      0.1656728688503382,
      0.1636009800804816,
      0.16155598980540728,
      0.15953754186184874,
      0.15754528492309575,
      0.15557887241438695,
      0.15363796257496645,
      0.15172221818371864,
      0.14983130671727407,
      0.14796490034941584,
      0.14612267579274363,
      0.14430431408293842,
      0.14250950080227962,
      0.14073792585819192,
      0.13898928337026595,
      0.13726327169045324,
      0.13555959335999168,
      0.13387795490067733,
      0.1322180669299575,
      0.13057963624595592,
      0.12896234326147654,
      0.12736587517247538,
      0.12578993526717183,
      0.12423423882126834,
      0.12269851059607573,
      0.12118248289856896,
      0.11968589422168142,
      0.11820848842783405,
      0.11675001407829523,
      0.11531022393128129,
      0.11388887468313857,
      0.11248572659555453,
      0.11110054345953214,
      0.10973309244331325,
      0.10838314390140505,
      0.10705047133391901,
      0.10573485139470026,
      0.10443606366843507,
      0.10315389064211693,
      0.10188811776911383,
      0.1006385334096128,
      0.09940492868572458,
      0.09818709743503705,
      0.09698483636462292,
      0.09579794476276604,
      0.09462622454458593,
      0.09346948027468607,
      0.09232751914823548,
      0.09120015083492944,
      0.09008718757343846,
      0.08898844399485673,
      0.08790373716459579,
      0.08683288651841958,
      0.08577571391484066,
      0.08473204358812227,
      0.08370170204929667,
      0.08268451800816401,
      0.08168032246529992,
      0.08068894853854765,
      0.07971023170449239,
      0.078744009504362,
      0.07779012152800684,
      0.07684840956413609,
      0.07591871742460884,
      0.07500089091917657,
      0.07409477778043543,
      0.07320022779256233,
      0.07231709279108339,
      0.07144522648584622,
      0.0705844844783439,
      0.06973472417125172,
      0.06889580493318453,
      0.06806758782816019,
      0.06724993585408205,
      0.06644271104726164,
      0.06564573752256095,
      0.06485882597470477,
      0.06408180821251333,
      0.06331453115598629,
      0.06255685284203971,
      0.06180863921715224,
      0.06106976221696029,
      0.060340098460556164,
      0.059619528207555665,
      0.058907934561355096,
      0.058205203249371826,
      0.057511222050621785,
      0.0568258806829515,
      0.05614907048102395,
      0.05548068447193192,
      0.05482061715176813,
      0.054168764471249235,
      0.05352502372830544,
      0.0528892935931556,
      0.052261474080888735,
      0.051641466437472076,
      0.05102916167743847,
      0.05042441930807419,
      0.04982710687606026,
      0.049237105755174114,
      0.04865430722812802,
      0.048078609815334274,
      0.04750991758303032,
      0.04694813853301735,
      0.04639318391745703,
      0.04584496749947785,
      0.04530340503649608,
      0.0447684140894022,
      0.04423991370159458,
      0.043717824182653006,
      0.04320206716088545,
      0.04269256525583905,
      0.04218924220638353,
      0.04169202282819926,
      0.04120083281936197,
      0.040715598894147075,
      0.04023624859270706,
      0.03976271044724965,
      0.03929491383681309,
      0.038832789052477786,
      0.038376267168573355,
      0.037925280819965726,
      0.03747976624870008,
      0.037039660227624484,
      0.03660489927334583,
      0.03617542002530198,
      0.035751159303736735,
      0.035332054349501894,
      0.03491804301817446,
      0.03450906372185243,
      0.03410505547474674,
      0.03370595797637584,
      0.03331171165580577,
      0.032922254206155126,
      0.03253750464741327,
      0.03215738003266887,
      0.03178180631652412,
      0.0314107160837057,
      0.031044046530015044,
      0.030681738447348235,
      0.03032373529554912,
      0.029969982660400254,
      0.029620427799099677,
      0.029275019227311225,
      0.028933706568758776,
      0.02859644034872282,
      0.028263171918119598,
      0.02793385347952808,
      0.027608437998854107,
      0.027286878976761294,
      0.026969130457553427,
      0.02665514714199936,
      0.026344884349982264,
      0.026038297950601242,
      0.025735344275356665,
      0.025435980160325874,
      0.025140163057020083,
      0.024847850929476428,
      0.024559002277433885,
      0.024273575967325364,
      0.023991531395777883,
      0.023712828470456495,
      0.023437427605827368,
      0.023165289676183278,
      0.022896375989694087,
      0.022630648321361548,
      0.022368068871372927,
      0.022108600326971952,
      0.021852205824415043,
      0.021598848950923323,
      0.0213484936592554,
      0.021101104412698475,
      0.020856646036352507,
      0.020615083762098717,
      0.02037638326424426,
      0.0201405106695975,
      0.019907432462875477,
      0.01967711552089729,
      0.01944952712903513,
      0.01922463492923132,
      0.019002406933168643,
      0.018782811651373292,
      0.018565817791632796,
      0.01835139449262588,
      0.018139511374574875,
      0.01793013833116505,
      0.017723245602425396,
      0.017518803829700134,
      0.0173167839214237,
      0.01711715717457203,
      0.016919895295693935,
      0.016724970219765933,
      0.016532354235757243,
      0.016342019986050497,
      0.016153940441896907,
      0.0159680888672529,
      0.01578443885402614,
      0.015602964332942398,
      0.015423639553965836,
      0.015246439055417152,
      0.015071337653027114,
      0.014898310506691635,
      0.014727332940259163,
      0.014558380726422947,
      0.014391429851857216,
      0.014226456658214707,
      0.014063437749410039,
      0.013902349950694576,
      0.013743170332375113,
      0.013585876329690674,
      0.013430445526996203,
      0.013276855926279344,
      0.01312508565068097,
      0.012975113196077729,
      0.012826917270152857,
      0.012680476823536693,
      0.012535770992518708,
      0.012392779214561599,
      0.012251481121986907,
      0.012111856735765673,
      0.011973886227982527,
      0.011837550079509224,
      0.011702828933365312,
      0.01156970359515386,
      0.011438155148530898,
      0.01130816498920239,
      0.011179714580040398,
      0.011052785658358147,
      0.010927360253361619,
      0.010803420456368167,
      0.010680948745172442,
      0.010559927736937204,
      0.01044034022831065,
      0.010322169280560376,
      0.010205398032183738,
      0.010090009925445108,
      0.009975988609470288
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.78579683192229,
      10.56821450224388,
      10.34128108644026,
      10.107872576904493,
      9.870538111299519,
      9.631439176495292,
      9.392486695070161,
      9.155311320592741,
      8.921296599352281,
      8.691576779234678,
      8.467022030020965,
      8.248240696792896,
      8.035591054644742,
      7.829203810190699,
      7.62901322658262,
      7.434793802451029,
      7.246195644182605,
      7.06277961375256,
      6.884050371097535,
      6.70948562413489,
      6.538560905080017,
      6.370767439951836,
      6.2056275784386985,
      6.042709263499472,
      5.881639668277751,
      5.722118499463067,
      5.563918099607646,
      5.406878878362221,
      5.250911441748313,
      5.096001738460907,
      4.942210472142957,
      4.789655834271502,
      4.638506712479969,
      4.488994142431164,
      4.341405716425378,
      4.196074423686688,
      4.053366341152049,
      3.9136729514101094,
      3.777409119853871,
      3.6449824758549685,
      3.5167716861949514,
      3.393117059816852,
      3.274313060514438,
      3.1606029444449364,
      3.0521755862265745,
      2.9491647811042427,
      2.851653173552258,
      2.7596620158358336,
      2.673164146551943,
      2.592083103627527,
      2.5162867542149927,
      2.445580214257723,
      2.3797191540903597,
      2.3184294170336472,
      2.2614161156367794,
      2.2083571108260722,
      2.1588923618422133,
      2.1126236686243445,
      2.069166044328775,
      2.028171785204903,
      1.9892957366358044,
      1.9522306399848492,
      1.9167350725625016,
      1.8826206970582517,
      1.8497373563790687,
      1.817962781860123,
      1.7871919418143853,
      1.7573361988767615,
      1.7283244474862263,
      1.700098523442264,
      1.6726074718249477,
      1.645806093294501,
      1.6196562796219252,
      1.5941253151458366,
      1.5691845542523124,
      1.5448084747267257,
      1.5209739996213227,
      1.4976600064081866,
      1.4748469695193875,
      1.452516697423193,
      1.4306522782540005,
      1.4092379690463814,
      1.3882587493764402,
      1.3677004179247156,
      1.3475501019389593,
      1.3277954737418523,
      1.308424490960603,
      1.2894254558845328,
      1.2707870500192082,
      1.252498532956175,
      1.2345500503137075,
      1.216932047323709,
      1.1996353063812568,
      1.18265105552808,
      1.1659707652235844,
      1.1495861423541676,
      1.1334891627554227,
      1.1176727253066863,
      1.1021306516561178,
      1.0868568747330984,
      1.0718449678929087,
      1.0570883632882286,
      1.042580657594758,
      1.0283156288380055,
      1.0142872447107525,
      1.0004896653570508,
      0.986917242680776,
      0.9735645175650391,
      0.9604262148001588,
      0.9474972376477476,
      0.9347726617210098,
      0.9222477289757804,
      0.909917841125333,
      0.8977785529045139,
      0.88582624585668,
      0.87405797763932,
      0.8624705683928955,
      0.8510606650511318,
      0.8398248320600424,
      0.8287596122938015,
      0.8178615678618304,
      0.8071273061874734,
      0.7965534966028962,
      0.7861368810555645,
      0.7758742800648101,
      0.765762595104637,
      0.7557991845424864,
      0.7459825746981779,
      0.736311119876992,
      0.7267828037932644,
      0.7173948931086589,
      0.708144250845324,
      0.6990279056207722,
      0.6900430656884203,
      0.6811870848903109,
      0.6724574365839312,
      0.6638516950354548,
      0.6553675218125384,
      0.6470026558385814,
      0.6387549059333417,
      0.6306221453308323,
      0.6226023071613211,
      0.6146933807755643,
      0.6068934084103055,
      0.5992004830159059,
      0.5916127459583748,
      0.5841283852405919,
      0.576745633463501,
      0.5694627660936759,
      0.5622781000719328,
      0.555189992261774,
      0.5481968381776595,
      0.5412970708475846,
      0.5344891594108656,
      0.5277716078890853,
      0.5211429542890984,
      0.5146017691029717,
      0.5081466547621065,
      0.5017762447025798,
      0.4954892020732873,
      0.4892842188029084,
      0.4831600149023239,
      0.477115337575371,
      0.4711489606503711,
      0.4652596833956702,
      0.4594463300455207,
      0.45370774904656724,
      0.44804281225862524,
      0.4424504142649162,
      0.4369294718446869,
      0.4314789233580548,
      0.4260977280962225,
      0.4207848658026055,
      0.41553933593562864,
      0.41036015725965397,
      0.40524636735996744,
      0.4001970218797527,
      0.3952111944222926,
      0.39028797582335384,
      0.3854264737108484,
      0.3806258122513527,
      0.3758851315012703,
      0.37120358707478046,
      0.3665803173750643,
      0.362014258578979,
      0.3575043211030831,
      0.35304952691030017,
      0.3486489789450914,
      0.3443018400258994,
      0.34000731814795004,
      0.3357646562878509,
      0.3315731250603969,
      0.3274320176427061,
      0.32334064627562664,
      0.3192983395935564,
      0.31530444087620935,
      0.3113583066578947,
      0.30745930541123817,
      0.303606817116131,
      0.2998002326190568,
      0.2960389530882118,
      0.29232238957552376,
      0.28864996277465,
      0.2850211026446385,
      0.2814352481915357,
      0.2778919637761513,
      0.27439107953593095,
      0.27093254388981847,
      0.2675161696240753,
      0.26414166043049425,
      0.2608086833153349,
      0.2575169280661617,
      0.254266031804467,
      0.25105558061907673,
      0.24788512757280992,
      0.24475420523403263,
      0.24166233426966688,
      0.23860902944252618,
      0.23559380357067153,
      0.23261639983316054,
      0.2296767344742936,
      0.22677462207599197,
      0.22390978025459843,
      0.22108180444190448,
      0.218290220952098,
      0.21553455640686112,
      0.21281433977004874,
      0.21012910375872448,
      0.20747838582290426,
      0.2048617287232624,
      0.20227868082400327,
      0.1997287963954755,
      0.19721163566036623,
      0.19472682896550048,
      0.19227409308810298,
      0.1898531141088637,
      0.18746354534528445,
      0.18510501967307028,
      0.18277715809679276,
      0.1804795752767886,
      0.17821188334435512,
      0.17597369440120358,
      0.17376462233695258,
      0.17158428417506494,
      0.16943230062863565,
      0.16730829658039909,
      0.16521190140046513,
      0.16314274912858573,
      0.16110047868052402,
      0.15908473381951516,
      0.15709516299410198,
      0.15513141960820864,
      0.15319316187253915,
      0.15128005256756413,
      0.149391759264687,
      0.14752795414727252,
      0.1456883139089048,
      0.14387251965812073,
      0.14208025690585374,
      0.14031121559164217,
      0.1385650898999556,
      0.1368415782041987,
      0.1351403829972361,
      0.133461210987703,
      0.13180377280188413,
      0.13016778305999158,
      0.12855293690928815,
      0.12695891578466192,
      0.1253854175913753,
      0.12383215396913581,
      0.12229884710136761,
      0.1207852276505088,
      0.11929103298445147,
      0.11781600616467013,
      0.11635989520193481,
      0.11492245250758366,
      0.11350343456922853,
      0.11210260162179807,
      0.1107197172797838,
      0.10935454871553968,
      0.10800686628320687,
      0.10667644357328421,
      0.10536305714716977,
      0.10406648668282116,
      0.10278651481906087,
      0.1015229270163326,
      0.10027551159880456,
      0.09904405981906751,
      0.09782836568465941,
      0.09662822587704169,
      0.09544343973687545,
      0.0942738092394968,
      0.09311913905579686,
      0.09197923639344112,
      0.09085391103815423,
      0.08974297521915613,
      0.0886462436743546,
      0.08756353359077391,
      0.08649466443869916,
      0.08543945817086254,
      0.0843977390418382,
      0.08336933360449543,
      0.08235407073686093,
      0.08135178143887722,
      0.08036229904042737,
      0.07938545906512773,
      0.07842109904118966,
      0.077469058679318,
      0.07652917985450405,
      0.075601306405358,
      0.0746852841914436,
      0.0737809610913183,
      0.07288818698570715,
      0.07200681370650043,
      0.07113669511089392,
      0.07027768678099178,
      0.06942964635029333,
      0.06859243311533558,
      0.06776590824850992,
      0.06694993483642936,
      0.06614437773775546,
      0.06534907915241976,
      0.06456384932327065,
      0.06378851381320812,
      0.06302291525297031,
      0.06226690858586092,
      0.0615203577497903,
      0.06078313331312301,
      0.06005511092195015,
      0.05933617023424252,
      0.05862619403167608,
      0.05792506770262845,
      0.05723267882757388,
      0.0565489170368369,
      0.05587367370092984,
      0.05520684183760241,
      0.054548315977365834,
      0.05389799211121912,
      0.05325576763095096,
      0.05262154128760217,
      0.05199521316150109,
      0.051376684506709534,
      0.05076585795955805,
      0.05016261534810875,
      0.0495668168311931,
      0.04897833560643769,
      0.04839705724071753,
      0.047822876401017116,
      0.04725569431723763,
      0.04669541718657569,
      0.04614195495624356,
      0.045595220467729784,
      0.04505512899053752,
      0.044521597657140186,
      0.043994545274350906,
      0.043473891988040206,
      0.04295955937326772,
      0.04245147003660625,
      0.041949547572326364,
      0.04145371688196974,
      0.04096390378945688,
      0.04048003500028704,
      0.040002038216623514,
      0.03952984203030463,
      0.03906337589594497,
      0.03860257010708657,
      0.038147355835921534,
      0.03769766582523419,
      0.03725343621908995,
      0.036814603915400715,
      0.036381105550554745,
      0.03595287786905853,
      0.0355298577215896,
      0.03511198255647021,
      0.03469919031208133,
      0.034291419352679695,
      0.03388860888920327,
      0.033490698659159886,
      0.033097629149269746,
      0.03270934154738561,
      0.0323257776780873,
      0.031946865682811285,
      0.03157252160807615,
      0.031202669586317924,
      0.030837241031201952,
      0.03047617266491646,
      0.03011940514188986,
      0.029766881993008622,
      0.02941854906772671,
      0.02907435393747674,
      0.028734245617704695,
      0.02839817415206391,
      0.028066090684219915,
      0.027737947288970277,
      0.027413696667121783,
      0.027093292297654673,
      0.026776688319149516,
      0.026463839426765688,
      0.026154701019347432,
      0.025849228935809293,
      0.02554737954312371,
      0.025249109800901243,
      0.024954377185073026,
      0.024663139814107993,
      0.024375356138635677,
      0.024090985160440406,
      0.023809986418455074,
      0.02353231982375112,
      0.0232579458078413,
      0.022986825403235225,
      0.022718920052573338,
      0.022454191565773027,
      0.022192602275804805,
      0.02193411486558627,
      0.02167869253995186,
      0.021426298996011808,
      0.021176898249052944,
      0.020930454790582396,
      0.020686933582706433,
      0.020446299914628496,
      0.020208519495491,
      0.019973558498268224,
      0.019741383445916097,
      0.01951196138591092,
      0.01928525970371247,
      0.019061246077640846,
      0.01883988867662787,
      0.01862115593994377,
      0.018405016669817403,
      0.018191440112775185,
      0.017980395902533267,
      0.01777185401742045,
      0.017565784783465273,
      0.01736215885995569,
      0.017160947270593856,
      0.016962121404355303,
      0.016765652941542968,
      0.016571513901884532,
      0.016379676687337173,
      0.01619011395469742,
      0.016002798756755553,
      0.015817704461768646,
      0.01563480467468357,
      0.01545407340068059,
      0.015275484949569306,
      0.015099013924263393,
      0.014924635203696865,
      0.014752323946091377,
      0.014582055637848135,
      0.014413806061056203,
      0.014247551306569508,
      0.014083267712096517,
      0.01392093189023842,
      0.013760520719408668,
      0.013602011361334675,
      0.013445381234987192,
      0.013290608074360074,
      0.013137669853815741,
      0.012986544911716046,
      0.01283721163626319,
      0.012689648768892446,
      0.012543835428876089,
      0.012399750872485836,
      0.012257374545136496,
      0.012116686172543936,
      0.011977665802068861,
      0.011840293641554627,
      0.011704550121787359,
      0.011570415991485459,
      0.011437872114401334,
      0.01130689960421875,
      0.011177479845838854,
      0.011049594409742099,
      0.010923225087686528,
      0.010798353986707959,
      0.010674963337958795,
      0.010553035586107973,
      0.010432553337971823,
      0.010313499398280671,
      0.010195856880426731,
      0.010079609056746944,
      0.009964739426281555,
      0.00985123164383843
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785792161512134,
      10.568192275739381,
      10.341231243162044,
      10.107788800590034,
      9.870417415607086,
      9.631280075910752,
      9.392288999152665,
      9.155075943389269,
      8.92102493558438,
      8.69127058583594,
      8.466683168122936,
      8.2478709300891,
      8.03519193842971,
      7.828776625818519,
      7.628558948305031,
      7.434313100326114,
      7.245688907911853,
      7.062247000367996,
      6.883491865916094,
      6.708901109249722,
      6.537950093648967,
      6.370129840812916,
      6.204962945239969,
      6.042017599030972,
      5.880921305891047,
      5.721374213414987,
      5.563149043996977,
      5.406086648369028,
      5.25009811983764,
      5.095169818344094,
      4.941363000999607,
      4.788796452193124,
      4.637639375262689,
      4.48812311323048,
      4.340535502396617,
      4.195209697502668,
      4.052511884018674,
      3.912833799583411,
      3.7765905270735076,
      3.6441893174347495,
      3.5160083757341436,
      3.3923874804696066,
      3.273620512837093,
      3.159950113707064,
      3.0515645290051623,
      2.948596931675929,
      2.8511292406546986,
      2.759181904026483,
      2.672727078693647,
      2.591687369125808,
      2.5159299027681787,
      2.4452586069269198,
      2.3794287535026273,
      2.3181659898516513,
      2.2611753651503856,
      2.2081344731450727,
      2.1586830690576164,
      2.1124228587992313,
      2.068969595008063,
      2.0279759115384333,
      1.9890970203466323,
      1.9520264811272678,
      1.9165235774492815,
      1.8824005188808892,
      1.8495075459303085,
      1.8177226592040907,
      1.786941010428933,
      1.7570741808246102,
      1.7280512225005953,
      1.699814084353064,
      1.6723119379811364,
      1.6454996460295854,
      1.6193391219040472,
      1.593797663485855,
      1.5688466324114028,
      1.5444605102431668,
      1.5206162197985715,
      1.4972926370161397,
      1.4744702328981591,
      1.4521308112553988,
      1.4302573370962313,
      1.4088339735940913,
      1.387845758435818,
      1.367278539979007,
      1.3471194871667567,
      1.3273562821203861,
      1.3079768880183034,
      1.288969609848647,
      1.2703231292344848,
      1.2520267535235208,
      1.2340706324843227,
      1.216445252639937,
      1.1991415331597504,
      1.1821506488844409,
      1.1654640039574662,
      1.1490732583053327,
      1.1329703698091598,
      1.1171482372874686,
      1.1016006642404486,
      1.0863215638097998,
      1.0713045819919145,
      1.056543145338415,
      1.042030806001084,
      1.0277613106951502,
      1.0137286050148469,
      0.9999268330411487,
      0.9863503353637677,
      0.9729936443072029,
      0.9598514780900566,
      0.9469187351820416,
      0.9341904876742245,
      0.921661974252576,
      0.9093285939174793,
      0.8971859299690756,
      0.8852305229028344,
      0.8734594163425035,
      0.8618693700259266,
      0.8504569891350768,
      0.8392188091740502,
      0.828151352749124,
      0.8172511675300671,
      0.8065148508690919,
      0.7959390650982263,
      0.785520546690916,
      0.7752561120502985,
      0.7651426601336162,
      0.7551778188569552,
      0.74536013840878,
      0.7356878711610118,
      0.7261589462672354,
      0.7167706056174687,
      0.7075196700784315,
      0.6984031378980146,
      0.689418195726106,
      0.6805621825410523,
      0.671832561008579,
      0.6632268979731383,
      0.654742849855662,
      0.6463781519233897,
      0.6381306104571101,
      0.629998096797259,
      0.6219785424071361,
      0.614069935287379,
      0.6062703168350249,
      0.5985777794591567,
      0.5909904638430212,
      0.5835065571319985,
      0.5761242913440916,
      0.5688419415284689,
      0.5616578240878151,
      0.5545702955246542,
      0.5475777509343386,
      0.5406786228611858,
      0.5338713799149817,
      0.5271545257133804,
      0.5205265975967206,
      0.5139861657832163,
      0.5075318321808058,
      0.5011622295990453,
      0.4948760206796212,
      0.48867189705875486,
      0.482548578384491,
      0.47650481142188233,
      0.4705393695044226,
      0.46465105144576385,
      0.45883868093225305,
      0.4531011059419265,
      0.4474371978382323,
      0.4418458508016146,
      0.4363259813227408,
      0.43087652735365445,
      0.4254964478307821,
      0.42018472193718154,
      0.4149403487669513,
      0.409762346606394,
      0.4046497524690666,
      0.39960162168394975,
      0.3946170274118068,
      0.3896950600906837,
      0.3848348269659562,
      0.38003545178158116,
      0.3752960742283456,
      0.3706158495572203,
      0.3659938971649619,
      0.36142912611817124,
      0.3569204613836007,
      0.35246693471202634,
      0.34806765573952225,
      0.3437217919196094,
      0.3394285542219477,
      0.3351871875559577,
      0.3309969638393676,
      0.3268571771289495,
      0.3227671400080794,
      0.3187261812846808,
      0.31473364424193584,
      0.31078888513075265,
      0.30689127235961994,
      0.30304018571760155,
      0.2992350157444499,
      0.2954751632203163,
      0.29176003900473824,
      0.2880890635252025,
      0.2844616663596148,
      0.28087730390603716,
      0.27733556946747767,
      0.27383631640357603,
      0.27037948625837926,
      0.2669648705243061,
      0.2635921602430689,
      0.2602610311409797,
      0.25697116588731767,
      0.2537221893629481,
      0.2505136793257454,
      0.24734518292101387,
      0.24421622841363072,
      0.2411263334454815,
      0.2380750105235988,
      0.23506183311114542,
      0.23208665856297658,
      0.22914936485759368,
      0.2262497228301072,
      0.2233874108988902,
      0.2205619939499118,
      0.21777298601221604,
      0.2150199051416444,
      0.21230227445594582,
      0.2096196226449026,
      0.20697148436088667,
      0.20435740033941427,
      0.20177691759423322,
      0.19922958945893937,
      0.19671500726517774,
      0.194232877866503,
      0.19178289480752253,
      0.18936471453398748,
      0.18697797028714244,
      0.18462228131981673,
      0.18229725922588727,
      0.18000251222186023,
      0.1777376480200911,
      0.1755022759291425,
      0.17329600784514307,
      0.17111845939871487,
      0.1689692502562352,
      0.1668480047160427,
      0.1647543517113696,
      0.16268792500902615,
      0.16064836333789778,
      0.15863531037152545,
      0.1566484145265436,
      0.15468732920052436,
      0.15275171247610342,
      0.1508412272265065,
      0.14895554101808114,
      0.14709432611539977,
      0.14525725913107282,
      0.14344402128578218,
      0.14165429818591496,
      0.13988777972194122,
      0.13814416013893804,
      0.136423137865444,
      0.13472441547580297,
      0.1330476996143986,
      0.13139270100211767,
      0.12975913434094327,
      0.12814671138347683,
      0.12655511841559433,
      0.12498404637667906,
      0.12343320215845571,
      0.12190230487982824,
      0.12039108294466644,
      0.11889927226552435,
      0.11742661498511646,
      0.11597285835912137,
      0.11453775439492156,
      0.11312105918865024,
      0.11172253285489331,
      0.11034193898016406,
      0.10897904459075991,
      0.10763362005595482,
      0.10630543897043655,
      0.10499427796523159,
      0.10369991675752169,
      0.10242213800144416,
      0.10116072727588847,
      0.09991547296781556,
      0.09868616636237817,
      0.09747260152671372,
      0.09627457515250508,
      0.09509188666830243,
      0.09392433820874017,
      0.09277173440869017,
      0.09163388259430905,
      0.0905105925697686,
      0.08940167670553612,
      0.08830694982555147,
      0.08722622908424202,
      0.0861593341824678,
      0.08510608708344845,
      0.08406631212500384,
      0.08303983598434443,
      0.08202648753661547,
      0.08102609787736112,
      0.08003850034320718,
      0.0790635304676683,
      0.07810102591299158,
      0.07715082651142907,
      0.07621277411404472,
      0.07528671262817385,
      0.07437248806868936,
      0.07346994841650045,
      0.07257894363077079,
      0.07169932567768383,
      0.07083094837903167,
      0.0699736674551837,
      0.06912734053387877,
      0.0682918270481649,
      0.06746698827779254,
      0.06665268740700396,
      0.06584878927458394,
      0.0650551517600472,
      0.06427159271057477,
      0.06349793047775966,
      0.06273400275851414,
      0.06197966100465687,
      0.06123476689434457,
      0.06049918945332412,
      0.059772803200266754,
      0.05905548702882852,
      0.05834712327189048,
      0.057647597074658524,
      0.056956795899583065,
      0.056274609122631374,
      0.05560092819348386,
      0.05493564612923718,
      0.05427865744050315,
      0.05362985811695017,
      0.05298914564090304,
      0.05235641875197886,
      0.0517315775983668,
      0.05111452357840774,
      0.050505159336399486,
      0.04990338744406348,
      0.049309082085330615,
      0.04872210563536902,
      0.0481423362838759,
      0.04756966358015395,
      0.04700398516356553,
      0.04644520468296146,
      0.04589323040432603,
      0.04534797418298512,
      0.044809350443157474,
      0.04427727575605263,
      0.04375166855666063,
      0.043232448810276325,
      0.042719537872719225,
      0.04221285842907445,
      0.04171233423079801,
      0.04121789005930291,
      0.04072945173225014,
      0.040246945982871,
      0.039770300549701605,
      0.03929944416546768,
      0.03883430629491204,
      0.038374817273303746,
      0.0379209084228508,
      0.03747251244923032,
      0.03702956551708696,
      0.03659200462485492,
      0.03615976658976023,
      0.03573278813514828,
      0.0353110063402273,
      0.03489435867723138,
      0.03448278314607456,
      0.03407621830537244,
      0.033674603331750735,
      0.03327787813194727,
      0.03288598322905825,
      0.0324988598164137,
      0.03211644973110969,
      0.03173869565645507,
      0.03136553591955442,
      0.03099689030360357,
      0.030632680454856995,
      0.030272836261203646,
      0.029917293523282755,
      0.02956599233917092,
      0.029218876145016243,
      0.028875890896043015,
      0.02853698447366021,
      0.028202106169752952,
      0.027871206609299096,
      0.02754423747463391,
      0.027221151344979034,
      0.02690190155539123,
      0.026586442100105356,
      0.02627472770065428,
      0.025966713711228294,
      0.025662356001272636,
      0.025361610992662948,
      0.02506443574367689,
      0.024770787834763757,
      0.024480625361635644,
      0.024193906802885794,
      0.02391059130922852,
      0.023630638416194387,
      0.02335400821016588,
      0.023080661203876217,
      0.02281055839150825,
      0.02254366134421611,
      0.022279931938664316,
      0.022019332563909227,
      0.021761826037734366,
      0.02150737564539768,
      0.021255945116692918,
      0.021007498585547093,
      0.0207620006596471,
      0.020519416243207893,
      0.020279710794140447,
      0.02004285013773457,
      0.019808800447205437,
      0.019577528365646097,
      0.019349000926082747,
      0.01912318560676855,
      0.01890005015926907,
      0.018679562787310262,
      0.018461692022151668,
      0.01824640679014592,
      0.018033676411704398,
      0.017823470557335838,
      0.017615759230679734,
      0.017410512828904417,
      0.017207702115623988,
      0.017007298157315325,
      0.01680927242609506,
      0.016613596617900194,
      0.01642024284672701,
      0.01622918361811713,
      0.016040391651382074,
      0.015853840039739567,
      0.01566950216380396,
      0.015487351809971366,
      0.01530736304850476,
      0.015129510112696228,
      0.014953767679518419,
      0.014780110681199627,
      0.014608514423295622,
      0.014438954455901909,
      0.014271406503319808,
      0.014105846756809697,
      0.013942251628496643,
      0.013780597875233173,
      0.013620862405469463,
      0.013463022424213336,
      0.01330705542613728,
      0.013152939177435055,
      0.013000651685797133,
      0.012850171241319784,
      0.012701476483995375,
      0.012554546224491706,
      0.012409359488331167,
      0.01226589555432447,
      0.012124133987936303,
      0.011984054497345301,
      0.011845637178434804,
      0.011708862321974857,
      0.011573710463689275,
      0.011440162339617536,
      0.011308198912272424,
      0.011177801334119306,
      0.011048951096423953,
      0.010921629829217855,
      0.010795819381867591,
      0.010671501821997482,
      0.010548659384076377,
      0.010427274520554032,
      0.010307330017552848,
      0.010188808755565564,
      0.01007169385856204,
      0.009955968608488616,
      0.009841616608928369,
      0.009728621491574836
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.78578749751067,
      10.568170080048876,
      10.34118147051086,
      10.107705147897988,
      9.870296905794358,
      9.63112122938502,
      9.392091627964119,
      9.154840968776057,
      8.920753756187343,
      8.69096496012714,
      8.46634495921155,
      8.247501902843677,
      8.034793651357807,
      7.8283503611739365,
      7.628105681890152,
      7.433833503453273,
      7.245183372400482,
      7.061715685122225,
      6.88293475637625,
      6.708318088691821,
      6.537340877878344,
      6.369493940664556,
      6.204300116430603,
      6.0413278470050695,
      5.880204966378691,
      5.7206320625445475,
      5.562382237480645,
      5.405296782099746,
      5.249287275276422,
      5.094340488293513,
      4.940518229819367,
      4.787939877057814,
      4.636774947939825,
      4.48725509029557,
      4.339668382923304,
      4.194348144165788,
      4.051660667495498,
      3.9119979422574174,
      3.7757752663969226,
      3.6433995188540504,
      3.5152484420881702,
      3.3916612763183576,
      3.272931321159655,
      3.159300603431473,
      3.0509567412933714,
      2.948032286084671,
      2.8506084323920833,
      2.758704826167517,
      2.672292945475737,
      2.591294463673184,
      2.515575584619155,
      2.4449392616072356,
      2.3791403685507113,
      2.3179043574271927,
      2.2609361186490626,
      2.2079130914814833,
      2.1584748255782693,
      2.1122229324311,
      2.0687738987472266,
      2.027780665530844,
      1.9888988438372126,
      1.951822803553075,
      1.9163125276871429,
      1.8821807668085888,
      1.8492781547426027,
      1.8174829585358454,
      1.786690510762935,
      1.7568126099768737,
      1.7277784643452223,
      1.699530134043575,
      1.672016916848686,
      1.64519373644045,
      1.6190225275739418,
      1.593470601544109,
      1.568509327163148,
      1.5441131885809982,
      1.5202591095341298,
      1.4969259633980723,
      1.4740942177876257,
      1.4517456726138178,
      1.4298632643145355,
      1.4084309905366277,
      1.3874338863819389,
      1.3668578606475916,
      1.3466901314732167,
      1.3269183967987614,
      1.307530629588665,
      1.2885151395730943,
      1.2698606111427435,
      1.2515564002178274,
      1.2335926981525243,
      1.2159601344094777,
      1.1986495983001186,
      1.1816521929180164,
      1.164959271664644,
      1.1485624582584342,
      1.1324536998887451,
      1.1166259050968776,
      1.1010728606179963,
      1.0857884561453979,
      1.0707663905086513,
      1.0560001170073106,
      1.041483142086068,
      1.0272091801262404,
      1.0131721539069003,
      0.9993661913402357,
      0.985785620985682,
      0.9724249666551836,
      0.9592789404479939,
      0.9463424356803221,
      0.9336105206098515,
      0.9210784309000213,
      0.9087415627798802,
      0.8965955884298398,
      0.8846371770283822,
      0.8728632978955195,
      0.8612706599264659,
      0.8498558329089992,
      0.838615327591632,
      0.8275456493544058,
      0.8166433337897516,
      0.805904969460228,
      0.7953272123595289,
      0.7849067949549255,
      0.7746405301318574,
      0.7645253139605095,
      0.7545590440404818,
      0.7447402943324775,
      0.7350672156851408,
      0.7255376678150415,
      0.716148875499864,
      0.7068976325943923,
      0.697780904792452,
      0.6887958553772059,
      0.6799398069126688,
      0.671210211124847,
      0.6626046269382327,
      0.6541207052082809,
      0.6457561773070694,
      0.6375088466109962,
      0.6293765823795568,
      0.6213573144496515,
      0.6134490296652805,
      0.6056497685228628,
      0.5979576225749557,
      0.5903707319635643,
      0.5828872830921022,
      0.5755055073587366,
      0.5682236791801977,
      0.5610401144845644,
      0.5539531691968081,
      0.5469612379275723,
      0.5400627528231597,
      0.5332561820992985,
      0.5265400286460374,
      0.5199128294485278,
      0.5133731541757368,
      0.5069196045968574,
      0.5005508130247666,
      0.4942654416728931,
      0.48806218160829873,
      0.4819397519406873,
      0.47589689897244997,
      0.4699323955933708,
      0.4640450400849143,
      0.4582336558124662,
      0.45249709028296986,
      0.4468342144875377,
      0.44124392227702697,
      0.4357251295196244,
      0.43027677378077295,
      0.4248978134085278,
      0.41958722722285646,
      0.4143440139461815,
      0.40916719150541925,
      0.40405579651178425,
      0.39900888379314914,
      0.3940255260837172,
      0.3891048133629985,
      0.38424585253403626,
      0.3794477668815027,
      0.3747096957442986,
      0.3700307940228422,
      0.36541016227231726,
      0.36084668251247853,
      0.3563392941201338,
      0.35188703874787886,
      0.34748903265956094,
      0.34314444765075364,
      0.3388524977912269,
      0.33461243003556734,
      0.3304235175388257,
      0.32628505504357186,
      0.32219635554826875,
      0.3181567481951095,
      0.31416557624007463,
      0.31022219584894317,
      0.3063259751574472,
      0.30247629372059653,
      0.29867254184156533,
      0.29491412005892054,
      0.29120043875400986,
      0.2875309178649983,
      0.28390498678395015,
      0.280322121186307,
      0.27678195671669364,
      0.2732843611506136,
      0.26982925479749154,
      0.2664164104471976,
      0.2630455095204004,
      0.25971623576700437,
      0.256428265493852,
      0.25318121238058716,
      0.24997464602256808,
      0.2468081080026661,
      0.2436811225195738,
      0.2405932043739494,
      0.23754386403750666,
      0.23453279438468078,
      0.23155990386569408,
      0.22862502164611734,
      0.2257278754122564,
      0.22286810888330763,
      0.2200452593206889,
      0.21725883067613583,
      0.2145083340308388,
      0.21179328770116493,
      0.20911321708031672,
      0.20646765440459572,
      0.20385613888907178,
      0.20127821641937008,
      0.19873345307911075,
      0.19622152433027346,
      0.19374213344609714,
      0.19129494145895423,
      0.18887958263830926,
      0.18649567497868516,
      0.1841428274099447,
      0.18182064453443147,
      0.17952872973563228,
      0.17726668761267506,
      0.17503412510038843,
      0.17283065257836513,
      0.17065588468013654,
      0.16850944051352273,
      0.16639094387843628,
      0.1643000234136135,
      0.16223631267881847,
      0.16019945017350254,
      0.1581890795343253,
      0.1562048491925112,
      0.154246412413928,
      0.15231342732018852,
      0.15040555685998427,
      0.14852246859055265,
      0.1466638347139206,
      0.14482933198652734,
      0.14301864155313002,
      0.14123144907343443,
      0.13946744455036164,
      0.13772632226664794,
      0.1360077807215594,
      0.13431152245950095,
      0.13263725417808073,
      0.13098468660073437,
      0.12935353439365074,
      0.12774351617115365,
      0.12615433392815298,
      0.12458567381099968,
      0.12303723711747708,
      0.12150873897564772,
      0.11999990520156205,
      0.11851046988292831,
      0.1170401738576081,
      0.1155887636867631,
      0.11415599083238363,
      0.11274161107461932,
      0.11134538422998447,
      0.10996707383897783,
      0.10860644682796593,
      0.1072632734816663,
      0.10593732747140089,
      0.10462838541775991,
      0.10333622697866428,
      0.10206063488381355,
      0.10080139473188754,
      0.0995582950772042,
      0.09833112717672206,
      0.09711968505169763,
      0.0959237656352051,
      0.09474316839534518,
      0.09357769552710352,
      0.09242715184839476,
      0.0912913446923777,
      0.09017008390419923,
      0.08906318190384506,
      0.08797045350328873,
      0.08689171607593976,
      0.08582678926424936,
      0.08477549512165194,
      0.08373765808817048,
      0.08271310488853978,
      0.08170166445150139,
      0.0807031679576087,
      0.07971744886339618,
      0.07874434281916728,
      0.07778368757911489,
      0.07683532301410419,
      0.07589909106231024,
      0.07497483571285808,
      0.07406240303184355,
      0.07316164108463791,
      0.07227239989415232,
      0.07139453142845363,
      0.07052788962088709,
      0.06967233039457013,
      0.0688277114012662,
      0.06799389210703631,
      0.06717073386567733,
      0.0663580998270816,
      0.06555585495743561,
      0.06476386598030616,
      0.063981966559012,
      0.0632099686703591,
      0.06244770436600381,
      0.06169502130475502,
      0.0609517784045351,
      0.060217842898780426,
      0.059493088093076685,
      0.0587773920579076,
      0.05807063661655897,
      0.057372706477657284,
      0.05668348885270117,
      0.05600287314689159,
      0.05533075062306373,
      0.05466701430206497,
      0.05401155867521205,
      0.0533642798714341,
      0.05272507530848668,
      0.05209384387739453,
      0.05147048577602112,
      0.05085490245267877,
      0.050246996630733294,
      0.04964667233490322,
      0.04905382860918457,
      0.0484683344889663,
      0.04789005808750619,
      0.04731888177064353,
      0.04675469827600738,
      0.04619740799641352,
      0.04564691690996,
      0.04510313505345728,
      0.04456597575899084,
      0.04403535494137109,
      0.0435111905579304,
      0.04299340231451049,
      0.04248191136889033,
      0.041976640112752275,
      0.04147751224479633,
      0.040984452632470025,
      0.040497387108399646,
      0.04001624244532204,
      0.03954094638556072,
      0.03907142766467448,
      0.03860761592768186,
      0.038149441651835106,
      0.03769683619360168,
      0.03724973232843873,
      0.03680806617381223,
      0.03637177492975169,
      0.03594079540964901,
      0.03551506443304898,
      0.03509451915783217,
      0.034679097216505944,
      0.034268736634934294,
      0.033863376026096716,
      0.03346295469051047,
      0.0330674125985229,
      0.032676690369107614,
      0.032290729263597065,
      0.031909471229641606,
      0.03153285900189344,
      0.0311608359737834,
      0.030793346246424942,
      0.03043031915339772,
      0.030071673977249008,
      0.029717338424582854,
      0.02936724700584151,
      0.02902133920485189,
      0.02867955817054357,
      0.028341849820440957,
      0.02800816219978427,
      0.027678444985632013,
      0.02735264915340041,
      0.027030726842261345,
      0.026712631142337403,
      0.02639831601313811,
      0.02608773596653306,
      0.02578084633080856,
      0.025477602983605147,
      0.02517796248455342,
      0.024881881908418748,
      0.02458931882019262,
      0.024300231376112653,
      0.02401457819800327,
      0.023732318370243838,
      0.023453411514943453,
      0.023177817792930336,
      0.02290549785571088,
      0.022636412748684435,
      0.022370524044889376,
      0.022107793694272827,
      0.02184818421843466,
      0.021591658563640117,
      0.02133818010190333,
      0.021087712627601982,
      0.020840220329991815,
      0.020595667862905,
      0.02035402026980968,
      0.020115242980433764,
      0.01987930190433798,
      0.019646163341641234,
      0.019415794003854885,
      0.019188160946962487,
      0.01896323173487737,
      0.018740974242323686,
      0.018521356688032457,
      0.018304347669074888,
      0.018089916285887322,
      0.017878031862218688,
      0.017668664079217456,
      0.01746178300926282,
      0.017257359100317463,
      0.017055363225559898,
      0.016855766511952603,
      0.016658540494087676,
      0.016463657002704572,
      0.016271088155943022,
      0.016080806466274515,
      0.01589278478366718,
      0.015706996335338553,
      0.01552341455083743,
      0.01534201320595068,
      0.01516276638977945,
      0.014985648504965778,
      0.014810634307241074,
      0.014637698736330283,
      0.014466817186753743,
      0.014297965175818036,
      0.014131118584889368,
      0.013966253570909373,
      0.01380334660035219,
      0.013642374420442908,
      0.013483314082283848,
      0.01332614284461757,
      0.013170838326465826,
      0.01301737833635676,
      0.012865740906291237,
      0.01271590443464406,
      0.012567847461243668,
      0.01242154888870818,
      0.012276987874099005,
      0.012134143747204352,
      0.011992996126741177,
      0.011853524872005158,
      0.011715710003957016,
      0.011579531894070157,
      0.011444971053535044,
      0.011312008368588845,
      0.011180624815682402,
      0.011050801558442553,
      0.01092252012199847,
      0.010795762231315655,
      0.010670509771294663,
      0.010546744836659855,
      0.010424449731502087,
      0.010303607090800552,
      0.010184199659588772,
      0.010066210339709263,
      0.009949622262713701,
      0.009834418812707493,
      0.009720583599259548,
      0.00960810025314992
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785782841036875,
      10.568147917409304,
      10.341131774431082,
      10.10762163057816,
      9.870176600559928,
      9.630962663976774,
      9.391894621864699,
      9.154606446698438,
      8.920483118470138,
      8.69065996625399,
      8.466007471822858,
      8.247133685439769,
      8.034396261793322,
      7.827925080904471,
      7.62765348563415,
      7.433355061569054,
      7.244679077078298,
      7.061185695984544,
      6.882379061767403,
      6.707736573798491,
      6.536733259365988,
      6.368859731704028,
      6.203639075108561,
      6.040639980413796,
      5.87949061175872,
      5.719891997857091,
      5.56161761952498,
      5.404509207140347,
      5.248478825202788,
      5.093513653899458,
      4.9396760532997295,
      4.787085993468707,
      4.635913304755911,
      4.486389938029903,
      4.338804212555604,
      4.193489608144045,
      4.050812524207157,
      3.911165269623391,
      3.774963279160981,
      3.6426130674684716,
      3.5144919125530785,
      3.390938508688795,
      3.2722455740873113,
      3.158654523151598,
      3.050352348749631,
      2.9474709831849255,
      2.8500908992666654,
      2.758230941662555,
      2.6718619119847355,
      2.5909045563495354,
      2.5152241308601546,
      2.444622647735262,
      2.378854585881939,
      2.31764520378324,
      2.2606991753813794,
      2.207693856597898,
      2.158268592275852,
      2.112024900132486,
      2.0685799992328326,
      2.0275871373634775,
      1.98870232387559,
      1.951620735566579,
      1.9161030513261372,
      1.8819625607823025,
      1.8490502890308251,
      1.8172447680501465,
      1.786441510678435,
      1.7565525307798726,
      1.7275071921246052,
      1.6992476663651457,
      1.6717233766290465,
      1.644889307510711,
      1.6187074145316684,
      1.5931450221186896,
      1.5681735060253494,
      1.5437673538704777,
      1.5199034895097747,
      1.4965607840724713,
      1.4737197019986836,
      1.4513620386460122,
      1.4294707253354229,
      1.4080296819552134,
      1.3870238058509123,
      1.3664390554707528,
      1.3462627085056973,
      1.3264824855484179,
      1.307086373832824,
      1.2880626923050833,
      1.2694001298423883,
      1.2510881209287892,
      1.2331170140969354,
      1.2154774352782902,
      1.1981601965230508,
      1.1811563461088683,
      1.1644571979352047,
      1.1480543477671818,
      1.131939737787081,
      1.1161062899393077,
      1.1005477771967005,
      1.0852580682855286,
      1.0702308921029942,
      1.055459759868358,
      1.0409381320434805,
      1.026659689442132,
      1.012618331000448,
      0.9988081678421781,
      0.9852235166399899,
      0.9718588919218223,
      0.9587089991496248,
      0.9457687268824211,
      0.9330331392787307,
      0.9204974686108621,
      0.9081571084751809,
      0.8960078199166981,
      0.8840464010349035,
      0.8722697464735492,
      0.8606745139631641,
      0.8492572378785285,
      0.8380144045476065,
      0.8269425022550355,
      0.8160380542389658,
      0.8052976407062771,
      0.7947179113388945,
      0.7842955935559864,
      0.774027497003736,
      0.763910618188901,
      0.7539430723351428,
      0.744123354105568,
      0.7344495294764105,
      0.7249194004468925,
      0.7155301828493664,
      0.706278648571156,
      0.6971617338828388,
      0.6881765810970267,
      0.6793204982095696,
      0.6705909266719952,
      0.6619854183743701,
      0.6535016193080285,
      0.6451372570617231,
      0.6368901325214539,
      0.6287581130482837,
      0.6207391269826938,
      0.6128311601147408,
      0.6050322519130973,
      0.5973404929962672,
      0.5897540226571081,
      0.5822710269589221,
      0.5748897368515861,
      0.5676084260359194,
      0.5604254099068895,
      0.5533390439043385,
      0.5463477223232157,
      0.5394498764950034,
      0.5326439741793321,
      0.5259285180097174,
      0.5193020446288261,
      0.5127631232203965,
      0.5063103547668263,
      0.49994237122317564,
      0.49365783425768556,
      0.4874554345294204,
      0.48133389074432237,
      0.4752919488251451,
      0.46932838109720837,
      0.46344198559565813,
      0.4576315850398987,
      0.4518960265473766,
      0.4462341806906019,
      0.44064494084235517,
      0.4351272223787277,
      0.4296799624043706,
      0.42430211898558656,
      0.41899267050432754,
      0.4137506152111015,
      0.4085749704964876,
      0.4034647726455826,
      0.3984190761117027,
      0.3934369531506768,
      0.388517493409412,
      0.38365980324370735,
      0.37886300560409575,
      0.3741262393736819,
      0.36944865902326973,
      0.36482932966686876,
      0.3602671289692698,
      0.35576100873453875,
      0.3513100190624671,
      0.3469132822385886,
      0.3425699739791974,
      0.3382793108979515,
      0.33404054163256036,
      0.32985294035492824,
      0.3257158024143129,
      0.3216284412345255,
      0.3175901859218481,
      0.3136003797287994,
      0.30965837850468686,
      0.3057635503762358,
      0.3019152746476467,
      0.2981129412669133,
      0.2943559504754273,
      0.2906437124122655,
      0.28697564674923176,
      0.2833511824583877,
      0.27976982865282274,
      0.27623124896653267,
      0.27273532467773604,
      0.2692819511397128,
      0.2658708838006053,
      0.26250180051309535,
      0.2591743908985363,
      0.25588832109657594,
      0.2526431944355494,
      0.2494385731893646,
      0.24627399366572458,
      0.24314897662272178,
      0.24006303406994858,
      0.23701571083245412,
      0.23400682492707126,
      0.23103627263545887,
      0.22810383622571553,
      0.22520920653785767,
      0.2223519969075732,
      0.21953172001817647,
      0.21674787167245502,
      0.21399995731618673,
      0.21128749139771688,
      0.2086099965449658,
      0.20596700321795977,
      0.20335804917489814,
      0.20078267938643865,
      0.1982405339819502,
      0.19573132117874822,
      0.193254707385783,
      0.19081032867283465,
      0.18839780222783092,
      0.18601673462857926,
      0.1836667268839038,
      0.18134737822358443,
      0.17905828837148438,
      0.17679905935419635,
      0.17456929652146566,
      0.17236860911375773,
      0.1701966108628704,
      0.1680529204177812,
      0.16593716117818527,
      0.1638489616424979,
      0.16178795517686967,
      0.15975378026806808,
      0.15774608042085814,
      0.15576450404348707,
      0.15380870444862962,
      0.15187833976585896,
      0.14997307288696532,
      0.1480925714310551,
      0.14623650758951307,
      0.1444045580351407,
      0.14259640410511062,
      0.14081173141851455,
      0.1390502300222584,
      0.1373115942064638,
      0.13559552252337892,
      0.13390171762839087,
      0.1322298861845662,
      0.13057973903361295,
      0.1289509909218741,
      0.12734336046776695,
      0.1257565650863806,
      0.12419029796459051,
      0.12264425315182094,
      0.12111814076184878,
      0.1196116832370035,
      0.11812461245415616,
      0.11665666774276555,
      0.11520759455897689,
      0.11377714369706146,
      0.11236507057647006,
      0.11097113457026288,
      0.10959509902157612,
      0.10823673088539185,
      0.10689580035088078,
      0.10557208099634802,
      0.10426534950396801,
      0.1029753855950001,
      0.10170197198183696,
      0.10044489442546012,
      0.0992039413963592,
      0.09797890426641469,
      0.09676957717977357,
      0.09557575706074871,
      0.09439724344678109,
      0.09323383859116191,
      0.09208534735919889,
      0.09095157717791387,
      0.08983233797560722,
      0.08872744224474825,
      0.08763670486580688,
      0.08655994322577219,
      0.085496977186569,
      0.08444762882060072,
      0.08341172257387632,
      0.08238908528808445,
      0.08137954595156059,
      0.08038293585862473,
      0.07939908853851207,
      0.07842783965761636,
      0.07746902702798497,
      0.07652249055335274,
      0.07558807230743077,
      0.07466561635846383,
      0.07375496883066973,
      0.07285597784253219,
      0.07196849350643028,
      0.071092367913382,
      0.07022745511556895,
      0.06937361097606495,
      0.06853069321600763,
      0.0676985614749733,
      0.06687707722263692,
      0.06606610367721313,
      0.06526550584501234,
      0.06447515045822294,
      0.0636948914067693,
      0.06292454304588731,
      0.06216393040518372,
      0.061412896392879654,
      0.06067129659240022,
      0.059938996032532575,
      0.05921586646115465,
      0.05850178491137448,
      0.05779663239253661,
      0.05710029327399059,
      0.056412654532406604,
      0.05573360527930875,
      0.05506303675165951,
      0.05440084183312367,
      0.053746915046371434,
      0.05310115248143613,
      0.052463451704552425,
      0.05183371161537099,
      0.05121183241736074,
      0.05059771562812522,
      0.049991264155326086,
      0.04939238197357374,
      0.04880097436234307,
      0.048216936678336986,
      0.04764013444479235,
      0.04707044085671018,
      0.04650774222784955,
      0.04595193445398308,
      0.04540292036564352,
      0.044860607925314044,
      0.044324909013680434,
      0.04379573851760299,
      0.04327301375703724,
      0.0427566539691491,
      0.04224658005755523,
      0.04174271435429117,
      0.0412449804636227,
      0.04075330310427301,
      0.040267608112042504,
      0.039787822335241384,
      0.039313873635693795,
      0.03884569066481097,
      0.03838320317715865,
      0.03792634176579868,
      0.037475037779426075,
      0.03702922397978238,
      0.03658883657895607,
      0.03615381281822844,
      0.035724089581691675,
      0.0352996038942174,
      0.034880292958785496,
      0.034466094410387636,
      0.03405694645743962,
      0.03365278785682449,
      0.033253557932277536,
      0.03285919668076847,
      0.03246964491987277,
      0.032084843951390635,
      0.031704735812451375,
      0.031329263316017805,
      0.030958369906730857,
      0.030591999716916573,
      0.030230097503737858,
      0.02987260410372826,
      0.029519442598756062,
      0.029170537742905244,
      0.02882582214044871,
      0.02848523409916124,
      0.028148716091543756,
      0.0278162138207261,
      0.02748767527327208,
      0.0271630503217818,
      0.026842290344394608,
      0.026525347951824055,
      0.026212176652393965,
      0.025902730813335058,
      0.025596965561676337,
      0.025294836751771202,
      0.024996300849653222,
      0.024701314966178622,
      0.02440983672740695,
      0.02412182428678266,
      0.023837236364722972,
      0.02355603218887974,
      0.023278171468093672,
      0.023003614368013008,
      0.022732321577860575,
      0.022464254220170156,
      0.022199373940021954,
      0.021937642837583107,
      0.021679023485013906,
      0.021423478900758124,
      0.021170972493724464,
      0.020921468136121456,
      0.02067493006021246,
      0.02043132294065326,
      0.020190611978801898,
      0.019952762785455023,
      0.01971774123961177,
      0.019485513685662606,
      0.01925604687775887,
      0.019029307964002408,
      0.01880526461215199,
      0.018583884768387418,
      0.018365136773318365,
      0.018148989244409042,
      0.017935411251826534,
      0.017724372298956383,
      0.017515842228301843,
      0.01730979113506594,
      0.01710618951070549,
      0.01690500830543077,
      0.016706218667810337,
      0.016509792124479998,
      0.016315700646498607,
      0.01612391646303469,
      0.015934412117998058,
      0.015747160470442497,
      0.015562134823522032,
      0.01537930866061183,
      0.015198655821494435,
      0.015020150475953722,
      0.014843767079543385,
      0.014669480362713904,
      0.014497265473388577,
      0.014327097764880553,
      0.014158952909186694,
      0.013992806858789201,
      0.013828635816052435,
      0.013666416317882459,
      0.013506125099139697,
      0.01334773933858464,
      0.01319123628939626,
      0.01303659359085427,
      0.012883789148607076,
      0.012732801079871335,
      0.012583607748489887,
      0.012436187915465063,
      0.012290520477280409,
      0.012146584555102495,
      0.012004359552767635,
      0.011863825094946509,
      0.01172496119540293,
      0.01158774800670799,
      0.01145216584429999,
      0.011318195325402285,
      0.011185817280344313,
      0.011055012810795762,
      0.010925763171130318,
      0.010798049898507085,
      0.010671854734048353,
      0.010547159582924166,
      0.010423946678783682,
      0.010302198380433595,
      0.010181897242493115,
      0.010063026099725448,
      0.00994556792314083,
      0.009829505931545506,
      0.009714823506376744,
      0.00960150426661609,
      0.00948953195979723
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785778191480397,
      10.568125789346668,
      10.341082157617507,
      10.107538089646477,
      9.870056065515294,
      9.630803711979025,
      9.39169711278225,
      9.154371341038459,
      8.920211849822573,
      8.690354318923466,
      8.465669329751748,
      8.246764832506383,
      8.033998270455077,
      7.827499244643117,
      7.6272007894486205,
      7.432876183636192,
      7.244174414848093,
      7.060655414012847,
      6.881823152363008,
      6.707154926375706,
      6.53612559428564,
      6.368225564070204,
      6.2029781655830405,
      6.039952339133021,
      5.878776578233223,
      5.719152351683121,
      5.560853520641245,
      5.4037222547941,
      5.247671103125011,
      5.092687654445421,
      4.938834818487523,
      4.786233156231435,
      4.635052810213185,
      4.485526033640033,
      4.3379413851455055,
      4.192632504543843,
      4.049965895703175,
      3.9103342077483862,
      3.774152985030515,
      3.641828419332019,
      3.5137373125338347,
      3.3902177734372247,
      3.271561940809028,
      3.158010616792414,
      3.049750169564973,
      2.94691191491144,
      2.8495756051220464,
      2.757759285381313,
      2.671433083464049,
      2.590516821026743,
      2.5148748078507137,
      2.4443081177813664,
      2.3785708370082013,
      2.317388032423266,
      2.2604641628632236,
      2.207476501467454,
      2.1580641887218874,
      2.1118286510741875,
      2.0683878401252676,
      2.0273953109560376,
      1.9885074723150833,
      1.951420308548727,
      1.9158951936641548,
      1.8817459556631728,
      1.8488240105129847,
      1.8170081542759056,
      1.786194079370701,
      1.7562940155501054,
      1.7272374818390246,
      1.6989667603497758,
      1.6714313991985328,
      1.6445864433744255,
      1.6183938693025748,
      1.5928210141155854,
      1.5678392609947198,
      1.5434231002904817,
      1.5195494557466727,
      1.4961971967248773,
      1.4733467837463192,
      1.4509800076826922,
      1.4290797952104168,
      1.4076300610541124,
      1.3866155944236525,
      1.3660222613807165,
      1.345837395795285,
      1.3260487538969532,
      1.3066443463928155,
      1.2876125070227382,
      1.2689419696076267,
      1.2506223674060053,
      1.232644066015513,
      1.2149976124645239,
      1.1976737628004914,
      1.180663525430109,
      1.1639581858388994,
      1.1475493187238637,
      1.1314288659845593,
      1.115589766757383,
      1.1000257825009565,
      1.0847307627529434,
      1.0696984222672044,
      1.054922352401259,
      1.0403960146308049,
      1.0261130501213225,
      1.0120673294862537,
      0.9982529436658942,
      0.9846641946223639,
      0.9712955864608741,
      0.9581418169228958,
      0.9451977686283214,
      0.932458501065733,
      0.9199192431554417,
      0.9075753858492577,
      0.8954228044404027,
      0.8834583908830703,
      0.8716789681306951,
      0.860081144901007,
      0.8486614214327535,
      0.8374162601406858,
      0.8263421326134132,
      0.8154355505359658,
      0.8046930854383002,
      0.7941113810269061,
      0.7836871604640303,
      0.7734172299801416,
      0.7632987242336206,
      0.7533299562705709,
      0.7435093038672763,
      0.7338347545412359,
      0.7243040564066933,
      0.7149144196724654,
      0.7056625966718254,
      0.6965454955854604,
      0.6875602383431937,
      0.6787041189540728,
      0.669974569197562,
      0.6613691342747551,
      0.6528854548929446,
      0.6445212553764403,
      0.6362743340271818,
      0.6281425561363947,
      0.620123848832723,
      0.612216196601082,
      0.604417638138355,
      0.5967262633580556,
      0.5891402107800167,
      0.581657665745552,
      0.5742768586274071,
      0.5669960627380424,
      0.559813592935249,
      0.5527278042206804,
      0.5457370901867854,
      0.5388398817766038,
      0.5320346462106563,
      0.525319885782843,
      0.5186941366075531,
      0.5121559674252946,
      0.505703978828719,
      0.49933680204899267,
      0.4930530984529898,
      0.4868515582301256,
      0.4807308994935974,
      0.4746898677491717,
      0.46872723497379476,
      0.4628417986630354,
      0.4570323812069352,
      0.4512978292170243,
      0.44563701278143825,
      0.4400488247534816,
      0.43453218033112606,
      0.42908601609100255,
      0.42370928952167647,
      0.4184009784480459,
      0.41316008075728844,
      0.4079856135637919,
      0.40287661273058833,
      0.39783213229103087,
      0.3928512440781376,
      0.387933037156559,
      0.38307661756729683,
      0.37828110780258295,
      0.3735456463425801,
      0.36886938720491164,
      0.36425136013997045,
      0.35969043876345086,
      0.35518558725715926,
      0.3507358641700488,
      0.34634039735382793,
      0.3419983665870435,
      0.33770899105383045,
      0.3334715210374189,
      0.32928523180309727,
      0.32514941933207425,
      0.32106339733365996,
      0.31702649496648405,
      0.31303805542751145,
      0.3090974346425676,
      0.30520400027067535,
      0.30135713135139675,
      0.29755621767926455,
      0.2938006591072963,
      0.29008986541565746,
      0.28642325594341744,
      0.282800259289528,
      0.2792204217542425,
      0.27568342987846095,
      0.27218917882876975,
      0.2687375393954662,
      0.2653282503925804,
      0.2619609897628401,
      0.2586354504529439,
      0.2553512848489259,
      0.2521080866954258,
      0.24890541147616257,
      0.24574279072527347,
      0.2426197416354094,
      0.2395357739334497,
      0.2364905261208596,
      0.23348389941938505,
      0.23051573902401515,
      0.22758578280067926,
      0.2246936906626506,
      0.22183904693862225,
      0.21902134625819605,
      0.21624007800500947,
      0.2134947432860161,
      0.21078485339594916,
      0.2081099288793262,
      0.20546949858853822,
      0.2028630992701217,
      0.20029032687819456,
      0.197750880423685,
      0.19524443433111388,
      0.1927706281008221,
      0.19032907935302637,
      0.18791939280963146,
      0.18554116639283766,
      0.18319399527807395,
      0.18087747463018639,
      0.17859120152914046,
      0.17633477620787238,
      0.17410780268340792,
      0.17190988940749247,
      0.16974064955783824,
      0.16759970132744098,
      0.1654866679211089,
      0.1634011775899204,
      0.16134286372330087,
      0.1593113646939139,
      0.15730632395099586,
      0.15532738993059353,
      0.153374215896604,
      0.15144646006270154,
      0.14954378526357795,
      0.14766585913546712,
      0.1458123539861917,
      0.1439829465194367,
      0.14217731806185974,
      0.1403951542884691,
      0.13863614527247936,
      0.1368999853704595,
      0.13518637300545294,
      0.13349501099702754,
      0.1318256060586857,
      0.1301778690068341,
      0.12855151463262823,
      0.12694626162444383,
      0.12536183252152963,
      0.12379793725403829,
      0.12225426691868556,
      0.12073052568637037,
      0.11922643182879196,
      0.11774171430541418,
      0.11627611052809383,
      0.11482936465232325,
      0.11340122655415719,
      0.11199145111981983,
      0.11059979741284824,
      0.10922602840264323,
      0.1078699108082501,
      0.10653121488471191,
      0.10520971417107533,
      0.10390518536365946,
      0.10261740809213013,
      0.1013461651697719,
      0.10009124239674533,
      0.0988524283036759,
      0.09762951437519271,
      0.09642229474315812,
      0.09523056640405575,
      0.0940541289948048,
      0.0928927847877214,
      0.0917463387072325,
      0.09061459824782629,
      0.08949737340110135,
      0.08839447673770068,
      0.08730572328859819,
      0.08623093040958864,
      0.08516991797849022,
      0.08412250820672632,
      0.08308852570444412,
      0.08206779725816832,
      0.08106015191217318,
      0.08006542101016864,
      0.07908343823578406,
      0.07811403933377292,
      0.0771570621347371,
      0.07621234671427195,
      0.075279735220357,
      0.07435907180958073,
      0.07345020261969198,
      0.07255297594645571,
      0.07166724193203944,
      0.07079285269629049,
      0.06992966231917022,
      0.0690775268208427,
      0.06823630399631282,
      0.06740585348242475,
      0.06658603682850225,
      0.06577671736089105,
      0.0649777601782434,
      0.06418903220094993,
      0.0634103987782507,
      0.06264168844708763,
      0.0618827182014642,
      0.061133325419442,
      0.060393361999157145,
      0.05966269027482633,
      0.058941180283403026,
      0.058228707856194134,
      0.05752515326064588,
      0.056830400218632456,
      0.05614433539621883,
      0.05546684773259076,
      0.05479782830582119,
      0.05413717000317846,
      0.053484767331907705,
      0.0528405163954072,
      0.052204314661828725,
      0.05157606117739152,
      0.05095565622540152,
      0.050343001432518505,
      0.04973799964117819,
      0.049140555038107166,
      0.04855057304940834,
      0.04796796018627676,
      0.04739260544042517,
      0.04682437525569432,
      0.04626314732579721,
      0.04570881152210217,
      0.04516126648197041,
      0.04462041732508684,
      0.04408617389752107,
      0.04355844978184915,
      0.043037161276777106,
      0.042522226988583746,
      0.042013567444349975,
      0.04151110468059928,
      0.04101476212093069,
      0.04052446445588981,
      0.040040137460688775,
      0.03956170810678721,
      0.039089104248558854,
      0.03862225460925572,
      0.03816108895467145,
      0.037705537863731896,
      0.03725553281724156,
      0.03681100662342901,
      0.0363718955162059,
      0.03593813681336542,
      0.03550966751131537,
      0.035086424720076365,
      0.034668345748346194,
      0.034255368345473325,
      0.033847430757183924,
      0.03344447178670263,
      0.033046430975395204,
      0.03265324841435667,
      0.03226486488569328,
      0.031881221844086274,
      0.031502261414012064,
      0.031127926398739986,
      0.030758160266747,
      0.03039290730919898,
      0.030032112412684123,
      0.029675721085274897,
      0.029323679539425104,
      0.028975921905693945,
      0.028632370960459123,
      0.02829295662809676,
      0.027957615577457115,
      0.0276262894127551,
      0.02729892326823539,
      0.02697546499257802,
      0.026655864601447674,
      0.02634007366532998,
      0.02602804498630569,
      0.02571973264253271,
      0.025415091461709897,
      0.02511407707339722,
      0.024816645897420272,
      0.024522754941512633,
      0.024232361798477594,
      0.023945424664528626,
      0.023661902264696166,
      0.023381753945646098,
      0.023104939414633454,
      0.022831418982622777,
      0.02256115338956946,
      0.022294103905224464,
      0.022030232202809762,
      0.02176950034252724,
      0.021511871042753886,
      0.021257307400338765,
      0.02100577286061918,
      0.020757231303110052,
      0.02051164714811258,
      0.020268985249053156,
      0.020029210812162603,
      0.019792289380849235,
      0.01955818697421578,
      0.0193268701001617,
      0.019098305605148597,
      0.018872460760476217,
      0.018649303114831015,
      0.01842880071076159,
      0.01821092198474056,
      0.017995635668888506,
      0.017782910903772358,
      0.017572717174658664,
      0.017365024338252225,
      0.017159802657140517,
      0.01695702279139555,
      0.016756655626158558,
      0.016558672482011375,
      0.01636304498977684,
      0.01616974511920524,
      0.015978745075503092,
      0.01579001754009168,
      0.015603535474496449,
      0.015419272096924428,
      0.015237200993635923,
      0.015057296129696645,
      0.014879531727985623,
      0.014703882346035623,
      0.014530322795404244,
      0.014358828227298438,
      0.014189374028885527,
      0.01402193594286821,
      0.0138564899215562,
      0.013693012286931336,
      0.013531479656912765,
      0.013371868859948897,
      0.01321415702218586,
      0.013058321592260964,
      0.012904340233826419,
      0.012752190865096824,
      0.012601851604038518,
      0.012453300962373052,
      0.01230651771046283,
      0.012161480812921389,
      0.012018169518206343,
      0.011876563136861213,
      0.011736641405867786,
      0.011598384351719658,
      0.011461772186700572,
      0.01132678529489561,
      0.011193404384199492,
      0.011061610276940154,
      0.010931384127504865,
      0.010802707246275727,
      0.010675561255428085,
      0.01054992797869378,
      0.010425789408258087,
      0.010303127691196701,
      0.010181925243969273,
      0.010062164778894983,
      0.00994382910897527,
      0.009826901290404278,
      0.009711364562515581,
      0.009597202390063965,
      0.009484398353803117,
      0.009372936302355077
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785773547722258,
      10.568103685792313,
      10.341032593083797,
      10.107454608353075,
      9.869935588005958,
      9.63064482336091,
      9.39149967694445,
      9.154136319719656,
      8.919940675879646,
      8.690048778534862,
      8.46533130737201,
      8.246396109599328,
      8.03360041879205,
      7.827073557279056,
      7.626748251096873,
      7.4323974725958974,
      7.24366992908776,
      7.060125318838926,
      6.881267440039962,
      6.706573486327558,
      6.535518067913588,
      6.367591477524503,
      6.202317287877342,
      6.03926468697792,
      5.878062498874328,
      5.718412632515711,
      5.560089326684482,
      5.402935189024397,
      5.246863252032255,
      5.091861513089989,
      4.9379934317233705,
      4.785380159507781,
      4.634192150527898,
      4.4846619594585135,
      4.33707838364621,
      4.191775222264137,
      4.049119083417172,
      3.9095029553743723,
      3.773342501088178,
      3.641043589778041,
      3.5129825403605635,
      3.38949687002719,
      3.2708781364781427,
      3.157366530477928,
      3.0491477962584335,
      2.9463526318626014,
      2.8490600703948084,
      2.757287358892547,
      2.6710039519037814,
      2.5901287089602922,
      2.5145250034563214,
      2.443993014233854,
      2.378286434406996,
      2.317130140072346,
      2.2602283759976136,
      2.2072583319020422,
      2.1578589430479274,
      2.111631544328477,
      2.0681947910724374,
      2.0272025516943533,
      1.9883116684055215,
      1.951218927111039,
      1.915686392681719,
      1.8815284280863385,
      1.8485968375113715,
      1.81677067933909,
      1.7859458241378667,
      1.7560347158690452,
      1.726967027191164,
      1.6986851509972052,
      1.671138760061112,
      1.6442829593947792,
      1.6180797456598117,
      1.5924964685460719,
      1.5675045186761916,
      1.5430783893078928,
      1.519195003647211,
      1.4958332292776302,
      1.4729735233078267,
      1.4505976722818437,
      1.4286885972783399,
      1.4072302076748122,
      1.3862072876753226,
      1.3656056524747338,
      1.3454125478992556,
      1.3256157180841508,
      1.3062032281634979,
      1.28716351105173,
      1.2684853920585515,
      1.2501585317464954,
      1.2321732630731492,
      1.2145200874797506,
      1.1971897279250474,
      1.1801731690878976,
      1.1634616789514929,
      1.147046818768011,
      1.1309205354117775,
      1.1150757888724792,
      1.0995063312144135,
      1.0842059944357025,
      1.069168480632832,
      1.0543874374882019,
      1.0398563629074284,
      1.0255688549540485,
      1.0115187540524235,
      0.997700130012252,
      0.9841072698510094,
      0.9707346666625892,
      0.9575770099309897,
      0.9446291761554825,
      0.9318862201760474,
      0.9193433673278593,
      0.9069960054296197,
      0.8948401822113953,
      0.8828728061288157,
      0.8710906345255517,
      0.859490231209923,
      0.8480680652467679,
      0.836820576913576,
      0.8257442225113363,
      0.814835502808986,
      0.8040909816968899,
      0.7935072972776852,
      0.7830811684689978,
      0.7728093984000298,
      0.7626892988238163,
      0.7527193288058204,
      0.7428977538014752,
      0.7332224852651004,
      0.7236912194473837,
      0.7143011627897559,
      0.7050490488763219,
      0.6959317583436728,
      0.6869463931024881,
      0.6780902331288711,
      0.6693607006842714,
      0.6607553342031711,
      0.6522717699190813,
      0.6439077285058317,
      0.6356610056500929,
      0.627529464896609,
      0.6195110319250734,
      0.6116036901606521,
      0.603805477442276,
      0.596114482713597,
      0.5885288440657589,
      0.5810467461819988,
      0.5736664187186387,
      0.5663861345613745,
      0.5592042080426514,
      0.5521189936099993,
      0.5451288843422671,
      0.5382323107278735,
      0.5314277395345325,
      0.5247136723951874,
      0.5180886450061718,
      0.5115512256727095,
      0.5051000146046286,
      0.4987336425191974,
      0.4924507702591521,
      0.4862500875243854,
      0.4801303120946129,
      0.47409018898741256,
      0.4681284895309186,
      0.46224401078681404,
      0.45643557476808677,
      0.4507020276336088,
      0.4450422391413479,
      0.43945510170322105,
      0.43393952990850176,
      0.42849445990815627,
      0.4231188487141951,
      0.4178116738479853,
      0.4125719327309802,
      0.40739864189567637,
      0.40229083673041577,
      0.3972475708454896,
      0.39226791572351205,
      0.3873509601213881,
      0.3824958096330603,
      0.3777015862867677,
      0.3729674281795011,
      0.3682924889962295,
      0.36367576332075335,
      0.35911612066344384,
      0.35461253745153665,
      0.3501640806274645,
      0.3457698837061059,
      0.3414291302436212,
      0.33714104214195484,
      0.3329048712608261,
      0.3287198938130255,
      0.3245854064686219,
      0.3205007233036826,
      0.3164651736484516,
      0.31247810056028213,
      0.30853885979150986,
      0.30464681893131057,
      0.3008013566184211,
      0.2970018622937952,
      0.29324773555206524,
      0.289538385816559,
      0.2858732321206657,
      0.28225171540731603,
      0.27867341290875824,
      0.27513802129872067,
      0.27164545133481255,
      0.2681955504970394,
      0.2647880437695891,
      0.2614226091133004,
      0.25809894165661823,
      0.25481668053520146,
      0.2515754101403324,
      0.24837467958331008,
      0.24521401578522684,
      0.24209293265913334,
      0.23901094533414657,
      0.23596783022893902,
      0.23296350403510205,
      0.22999776165331332,
      0.22707030093448985,
      0.2241807543571587,
      0.2213286777805404,
      0.21851355174158676,
      0.2157348601379425,
      0.21299210024425058,
      0.21028478071544993,
      0.20761242016669681,
      0.20497454618499075,
      0.2023707181403568,
      0.19980061220062076,
      0.1972639119758597,
      0.19476026103625,
      0.19228927791787595,
      0.18985056589293134,
      0.18744372000011142,
      0.18506833148938245,
      0.1827239909962794,
      0.18041029068716147,
      0.17812682548556202,
      0.17587319414823369,
      0.17364899968599506,
      0.1714538500224831,
      0.16928735793883765,
      0.16714914128464153,
      0.16503882303565567,
      0.16295603136487236,
      0.1609003995299149,
      0.1588715659012086,
      0.1568691739336275,
      0.15489287198703217,
      0.15294231335108274,
      0.15101715611182884,
      0.14911706329900426,
      0.14724170251962385,
      0.14539074610081656,
      0.1435638708456226,
      0.14176075799254154,
      0.13998109324543867,
      0.13822456670209243,
      0.13649087277699004,
      0.1347797099971677,
      0.13309078111575182,
      0.13142379300933216,
      0.12977845658191794,
      0.1281544865348493,
      0.12655160163847062,
      0.12496952436101116,
      0.12340797851981906,
      0.12186666498964246,
      0.12034528027769686,
      0.11884353750295243,
      0.11736116212123293,
      0.11589788916704605,
      0.11445346124915266,
      0.1130276271584926,
      0.11162014091810656,
      0.11023076109909814,
      0.10885925054722066,
      0.10750537575491896,
      0.10616890672956861,
      0.10484961699432598,
      0.10354728319421927,
      0.10226168508146845,
      0.10099260536533361,
      0.09973982989014443,
      0.09850314737877312,
      0.0972823492368542,
      0.09607722970350933,
      0.09488758579539212,
      0.0937132172223141,
      0.09255392629962929,
      0.09140951802227795,
      0.09027979993812135,
      0.08916458226599891,
      0.08806367753939601,
      0.08697690085638793,
      0.08590406966792377,
      0.08484500400072328,
      0.08379952604975738,
      0.0827674603863316,
      0.08174863399625172,
      0.0807428760278217,
      0.07975001790709074,
      0.07876989332425331,
      0.07780233805993529,
      0.07684719007665937,
      0.0759042894716297,
      0.07497347840898604,
      0.07405460113559623,
      0.07314750397934117,
      0.07225203518297088,
      0.07136804497397525,
      0.0704953856070579,
      0.06963391124819399,
      0.06878347799981242,
      0.06794394375763112,
      0.06711516832920497,
      0.06629701329811714,
      0.06548934201896117,
      0.0646920196702101,
      0.06390491311919544,
      0.06312789105138851,
      0.06236080121987723,
      0.06160345986059654,
      0.06085569758319486,
      0.060117361633940485,
      0.05938831117641561,
      0.05866841414833879,
      0.05795754492184243,
      0.057255582799645544,
      0.056562410861099977,
      0.05587791518193609,
      0.055201984475982464,
      0.054534509622721355,
      0.05387538341960012,
      0.053224500395533746,
      0.05258175664064805,
      0.051947049708693356,
      0.051320278645890234,
      0.05070134386329062,
      0.05009014693154223,
      0.049486590764914316,
      0.048890579622850205,
      0.048302018951140446,
      0.04772081537711341,
      0.047146876709460196,
      0.04658008651351111,
      0.046020312213338424,
      0.04546743579284338,
      0.04492135035298703,
      0.04438195713877576,
      0.04384916338004938,
      0.04332288077926717,
      0.0428030244329645,
      0.042289512078297065,
      0.04178226369954968,
      0.0412812010509562,
      0.040786247266254246,
      0.04029732687075295,
      0.03981436560499089,
      0.039337290294294294,
      0.038866028843367935,
      0.03840051014931443,
      0.03794066395471643,
      0.0374864209425632,
      0.037037712675782694,
      0.03659447197251071,
      0.036156634946701266,
      0.03572413907321621,
      0.035296921500133235,
      0.03487491941089998,
      0.03445807026581759,
      0.034046311856796345,
      0.0336395825032014,
      0.03323782107501136,
      0.03284096712299255,
      0.0324489609128372,
      0.03206174328712712,
      0.03167925571092045,
      0.031301440459740794,
      0.030928240435186407,
      0.03055959927571611,
      0.030195461288963384,
      0.029835771339079442,
      0.029480475069847932,
      0.02912951877498248,
      0.028782849448819873,
      0.028440412131316744,
      0.028102135657200582,
      0.02776794638117953,
      0.02743777861568202,
      0.0271115724237461,
      0.026789272175972306,
      0.026470825213430235,
      0.026156181466713443,
      0.025845292627173066,
      0.025538111763869144,
      0.025234593193913746,
      0.02493469222106121,
      0.024638364960706375,
      0.024345568314427374,
      0.024056259877652725,
      0.02377039785614996,
      0.02348794091524094,
      0.02320884836140881,
      0.022933080110097127,
      0.022660596414358494,
      0.022391358084342745,
      0.022125326422997766,
      0.021862463169814998,
      0.02160273054176627,
      0.021346091218932682,
      0.02109250836362298,
      0.02084194557789742,
      0.020594366850004365,
      0.02034973665494777,
      0.02010801980264242,
      0.019869181624305957,
      0.019633187868519326,
      0.019400004528745664,
      0.01916959814910907,
      0.018941935699517905,
      0.018716984471597926,
      0.01849471217965758,
      0.018275086903957936,
      0.018058077086478486,
      0.017843651572713056,
      0.017631779553078486,
      0.017422430651961286,
      0.017215574891356937,
      0.017011182535294406,
      0.016809224151231834,
      0.016609670717412893,
      0.01641249361075901,
      0.016217664570933748,
      0.016025155589575873,
      0.015834939074123745,
      0.015646987599432234,
      0.015461274322005341,
      0.01527777254380551,
      0.015096455951262853,
      0.014917298422816394,
      0.014740274314645524,
      0.014565358194609336,
      0.014392524965213267,
      0.01422174984139779,
      0.014053008266098864,
      0.013886276087543612,
      0.01372152931802414,
      0.013558744332593232,
      0.013397897706308557,
      0.013238966389581892,
      0.013081927674980438,
      0.012926758980846106,
      0.012773437991837548,
      0.012621942717655222,
      0.012472251438482664,
      0.0123243426136128,
      0.012178195032118776,
      0.012033787748713413,
      0.011891099988928969,
      0.011750111296743792,
      0.011610801441295865,
      0.011473150394997007,
      0.011337138388441756,
      0.011202745940998538,
      0.011069953765201488,
      0.010938742888472784,
      0.01080909440672017,
      0.010680989651980742,
      0.010554410316431142,
      0.010429338234029778,
      0.010305755430219542,
      0.010183644248664213,
      0.010062987065672348,
      0.009943766596242614,
      0.009825965743548801,
      0.009709567576383587,
      0.009594555364542446,
      0.009480912576782043,
      0.00936862297496551,
      0.009257670473953298
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785768912000416,
      10.568081617322681,
      10.340983100541758,
      10.107371240620603,
      9.869815262296513,
      9.630486120429204,
      9.39130245564054,
      9.153901539692727,
      8.919669768333907,
      8.689743524556318,
      8.464993586704496,
      8.246027700757278,
      8.033202889458819,
      7.826648197386928,
      7.626296043159665,
      7.431919094347614,
      7.243165778645051,
      7.059595560707926,
      6.880712067495473,
      6.705992390307946,
      6.534910833624867,
      6.366957636174574,
      6.201656614419106,
      6.038577204837099,
      5.877348559599872,
      5.717673026986504,
      5.5593252235831505,
      5.402148195095791,
      5.246055457191931,
      5.091035415068001,
      4.9371520761907215,
      4.784527179861879,
      4.633331491323211,
      4.483797866050264,
      4.336215339466459,
      4.190917870624269,
      4.048272171520626,
      3.9086715693907217,
      3.772531852612117,
      3.6402585674152284,
      3.51222755370969,
      3.3887757358177835,
      3.2701940776615848,
      3.1567221582731304,
      3.0485450984685256,
      2.94579298092694,
      2.8485441212350433,
      2.7568149686652323,
      2.670574305912239,
      2.5897399918887007,
      2.5141744727536044,
      2.4436770467060813,
      2.3780010203058595,
      2.316871113719078,
      2.259991356390227,
      2.207038854749271,
      2.157652336791157,
      2.1114330454512835,
      2.068000307938795,
      2.027008311739942,
      1.9881143664833814,
      1.9510160535127732,
      1.915476122291889,
      1.8813094661453198,
      1.8483682743104481,
      1.8165318650090945,
      1.7856962843328306,
      1.7557741891076546,
      1.726695405413335,
      1.6984024350464684,
      1.6708450746956651,
      1.643978488667879,
      1.6177646941658212,
      1.5921710533997973,
      1.567168963546361,
      1.5427329209137324,
      1.5188398486822572,
      1.4954686120625604,
      1.4725996647269075,
      1.4502147888784849,
      1.4282969008089486,
      1.4068299042502135,
      1.3857985777550255,
      1.3651887499695172,
      1.3449876645746084,
      1.3251830536412335,
      1.3057629722395876,
      1.2867158449773601,
      1.268030504506895,
      1.2496966466679809,
      1.2317045891331688,
      1.2140448130754038,
      1.1967080265059873,
      1.1796852021161923,
      1.162967598126658,
      1.1465467685834863,
      1.1304146699278104,
      1.1145642849349993,
      1.0989893590092779,
      1.0836837081656943,
      1.0686410219178155,
      1.053854978240827,
      1.0393191408928428,
      1.0250270713023095,
      1.0109725777417722,
      0.9971497070879306,
      0.9835527299219328,
      0.9701761274480903,
      0.957014580523858,
      0.9440629593629498,
      0.9313163140431524,
      0.9187698658446444,
      0.9064189995426015,
      0.89425993493516,
      0.8822895964568985,
      0.8705046766403232,
      0.8589016940129813,
      0.8474770860932737,
      0.8362272714610566,
      0.8251486911104688,
      0.8142378351796173,
      0.8034912595935881,
      0.7929055968297173,
      0.782477561589286,
      0.7722039538258217,
      0.7620823528074473,
      0.752111240925634,
      0.7422887822922976,
      0.7326128193026965,
      0.7230810010940778,
      0.7136905336383846,
      0.7044381338548213,
      0.6953206558887014,
      0.6863351828525388,
      0.6774789818277739,
      0.6687494655225985,
      0.6601441658456548,
      0.6516607143622393,
      0.6432968285337447,
      0.635050301867895,
      0.6269189960128415,
      0.61890083535401,
      0.6109938020543194,
      0.6031959328911728,
      0.5955053161418589,
      0.5879200893389294,
      0.5804384365547034,
      0.573058586774753,
      0.5657788121978805,
      0.558597426878413,
      0.5515127846247773,
      0.5445232781705579,
      0.5376273374376223,
      0.5308234286536655,
      0.5241100530076828,
      0.5174857456638566,
      0.5109490745041104,
      0.5044986390614989,
      0.4981330699561535,
      0.49185102749094517,
      0.4856512007838257,
      0.47953230706065453,
      0.47349309093457037,
      0.46753232337120865,
      0.4616488009539167,
      0.45584134509611424,
      0.45010880158551064,
      0.44445003967678576,
      0.438863951165976,
      0.4333494503154588,
      0.4279054728771068,
      0.42253097551393787,
      0.4172249351896237,
      0.41198634888450425,
      0.40681423280145007,
      0.4017076219287533,
      0.39666556942661313,
      0.3916871464256533,
      0.3867714411700574,
      0.3819175589064334,
      0.37712462119698875,
      0.3723917656764968,
      0.3677181431006204,
      0.3631027142463809,
      0.3585443471211268,
      0.35404203000265055,
      0.3495948379874045,
      0.34520191019434726,
      0.3408624338239793,
      0.33657563308449306,
      0.3323407614712367,
      0.3281570964075936,
      0.32402393496958054,
      0.31994059147065734,
      0.3159063951807209,
      0.31192068912823556,
      0.3079828289512454,
      0.3040921820243411,
      0.3002481267323493,
      0.2964500521309566,
      0.2926973576133961,
      0.28898945222635336,
      0.2853257547539877,
      0.2817057250624416,
      0.2781289679901813,
      0.2745951925917545,
      0.2711043142428554,
      0.26765615890115474,
      0.2642504386653282,
      0.2608868396008688,
      0.2575650499425617,
      0.25428469674695353,
      0.25104535589354915,
      0.24784657047245587,
      0.2446878631249357,
      0.24156874480110668,
      0.23848880287451574,
      0.23544792278458052,
      0.23244596825748765,
      0.2294826894493482,
      0.22655775232025552,
      0.22367076726213694,
      0.22082126549056105,
      0.21800871616269557,
      0.21523259932568575,
      0.21249240971119499,
      0.2097876541426026,
      0.20711784997935234,
      0.20448252712333886,
      0.20188132558809785,
      0.19931393952542534,
      0.19678001735080847,
      0.19427917884511497,
      0.1918110261723597,
      0.189375151538448,
      0.1869711423462114,
      0.18459858470686163,
      0.18225706576662953,
      0.1799461752780631,
      0.17766550658725688,
      0.17541465728265898,
      0.17319322972557197,
      0.17100083115801573,
      0.16883707405157466,
      0.1667015760612562,
      0.16459396005031626,
      0.1625138539944918,
      0.1604608912244051,
      0.15843471005838042,
      0.1564349539072784,
      0.15446127118300407,
      0.15251331524001213,
      0.15059074412715642,
      0.14869322082330486,
      0.14682041298454723,
      0.14497199294041865,
      0.14314763745520948,
      0.14134702790993753,
      0.1395698501282728,
      0.13781579428622473,
      0.13608455468822603,
      0.13437582993752958,
      0.13268932283950743,
      0.1310247402480366,
      0.1293817930643009,
      0.12776019617153245,
      0.1261596683125871,
      0.12457993213836101,
      0.1230207140142471,
      0.12148173300995556,
      0.11996268515283286,
      0.11846327698156464,
      0.11698322947180534,
      0.11552227455440815,
      0.11408015279337481,
      0.11265661155295255,
      0.11125140389535206,
      0.10986428784202071,
      0.10849502577950054,
      0.10714338398858192,
      0.10580913235250744,
      0.10449204417255173,
      0.10319189616732673,
      0.10190846808287751,
      0.10064154266964175,
      0.09939090575833154,
      0.0981563459651311,
      0.09693765487072359,
      0.0957346267704635,
      0.09454705870132309,
      0.09337475049098069,
      0.09221750451137567,
      0.09107512581638051,
      0.08994742205988167,
      0.0888342033276435,
      0.08773528234020699,
      0.08665047425803854,
      0.08557959666072767,
      0.08452246951577953,
      0.08347891517157448,
      0.08244875835911841,
      0.08143182606844475,
      0.08042794753504297,
      0.07943695430445426,
      0.07845867998049205,
      0.07749296057906882,
      0.07653963414962173,
      0.07559854081739321,
      0.0746695228267179,
      0.07375242444589039,
      0.07284709203218116,
      0.07195337399930642,
      0.07107112067483246,
      0.07020018436824445,
      0.06934041924252887,
      0.0684916814758956,
      0.06765382901725961,
      0.06682672176831285,
      0.0660102213716628,
      0.06520419124442607,
      0.06440849663089712,
      0.06362300459197896,
      0.06284758385524737,
      0.062082097779119605,
      0.06132637203402103,
      0.060580229425753855,
      0.059843511886952375,
      0.059116074927589184,
      0.05839778390491757,
      0.05768851137476136,
      0.05698813557734512,
      0.056296538744675134,
      0.055613606485786095,
      0.05493922717191659,
      0.05427329152644051,
      0.053615692185684766,
      0.052966323626202634,
      0.052325081949815284,
      0.051691864709607384,
      0.05106657100566719,
      0.05044910118881381,
      0.04983935697972576,
      0.049237241414886106,
      0.04864265877543705,
      0.04805551452380918,
      0.04747571541983873,
      0.04690316940338671,
      0.04633778322747003,
      0.04577943662541314,
      0.04522800053442247,
      0.04468336045737842,
      0.044145412313075574,
      0.04361405973807553,
      0.04308921187006836,
      0.04257078206530028,
      0.042058686918979224,
      0.041552845507710504,
      0.04105317902035906,
      0.04055961026328401,
      0.04007206363005255,
      0.03959046471761751,
      0.03911474037667054,
      0.0386448184424467,
      0.03818062778722537,
      0.03772209814468774,
      0.03726916028442925,
      0.03682174572580395,
      0.0363797873741586,
      0.035943221389547815,
      0.035511985341468794,
      0.035086016444929376,
      0.03466525204378134,
      0.03424962962376101,
      0.033839087077350616,
      0.033433562833268204,
      0.03303299582584746,
      0.03263732573357912,
      0.03224649282603931,
      0.031860438086891964,
      0.031479103113511576,
      0.031102430181457762,
      0.030730362327377594,
      0.03036284319612282,
      0.02999981715456261,
      0.029641229258474972,
      0.029287025222180983,
      0.028937151403414237,
      0.02859155483201812,
      0.028250183133252532,
      0.027912984669604297,
      0.02757990129979358,
      0.027250859610911306,
      0.026925790594971428,
      0.02660463212329321,
      0.026287327189686575,
      0.02597382251397581,
      0.025664067589232103,
      0.025358014032620096,
      0.02505561511613821,
      0.024756825437365206,
      0.02446160068459686,
      0.02416989739342617,
      0.02388167295462503,
      0.02359688540914993,
      0.02331549341759714,
      0.02303745616164193,
      0.022762733636014075,
      0.022491286141875833,
      0.022223074621286334,
      0.021958060389521698,
      0.021696205212715494,
      0.021437471374222923,
      0.02118182164773184,
      0.02092921920877968,
      0.020679627732147435,
      0.020433011351218288,
      0.02018933460661239,
      0.019948562358103408,
      0.0197106599713169,
      0.019475593251959016,
      0.019243328419973327,
      0.019013832021639122,
      0.01878707102749646,
      0.018563012811005208,
      0.01834162514789528,
      0.018122876210662088,
      0.01790673464742638,
      0.017693169248996148,
      0.017482149297437476,
      0.017273644458329306,
      0.017067624757063388,
      0.016864060620503402,
      0.016662922761031415,
      0.01646418219527608,
      0.016267810346758515,
      0.016073778984647877,
      0.01588206020220924,
      0.015692626402799698,
      0.015505450420545835,
      0.015320505286596437,
      0.01513776437805301,
      0.014957201465892285,
      0.014778790599539245,
      0.014602506055997402,
      0.014428322518804552,
      0.014256215004132407,
      0.014086158743727444,
      0.013918129259676977,
      0.013752102299911159,
      0.013588054061431208,
      0.013425961045825675,
      0.01326579992898014,
      0.013107547679598337,
      0.012951181481469506,
      0.01279667889848068,
      0.012644017665609304,
      0.012493175881656628,
      0.012344131815048879,
      0.012196864041269092,
      0.012051351314209417,
      0.011907572750092296,
      0.011765507669077203,
      0.011625135692386903,
      0.011486436604928804,
      0.01134939052420912,
      0.01121397778401382,
      0.01108017890833549,
      0.010947974585639569,
      0.010817345803182103,
      0.01068827379130431,
      0.010560739981720111,
      0.01043472611905359,
      0.010310214093802764,
      0.010187185979510408,
      0.0100656240831659,
      0.009945510913982832,
      0.009826829172003193,
      0.009709561845630326,
      0.009593692119341506,
      0.00947920330151311,
      0.009366078873184474,
      0.0092543026714726,
      0.009143858546195123
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785764292452889,
      10.568059618615248,
      10.34093375197877,
      10.107287955542809,
      9.86969483501186,
      9.630327170322756,
      9.391104874054202,
      9.153666311978068,
      8.919398347222103,
      8.689437687921362,
      8.464655233062121,
      8.245658625383122,
      8.032804675514242,
      7.826222148022343,
      7.625843151145363,
      7.431440046438389,
      7.242660980735033,
      7.05906518541677,
      6.880156114003767,
      6.705410753434599,
      6.534303101778027,
      6.3663233431021835,
      6.200995535651122,
      6.037889362893039,
      5.876634306028091,
      5.716933153851831,
      5.5585609006459675,
      5.4013610296140016,
      5.245247537318089,
      5.0902092370213765,
      4.9363106840380055,
      4.783674202798808,
      4.632470868196398,
      4.482933837155889,
      4.335352383393552,
      4.190060625333162,
      4.0474253783638074,
      3.9078403084274416,
      3.7717213448997806,
      3.6394737052904302,
      3.511472740361384,
      3.38805478205779,
      3.2695101954794077,
      3.156077949898383,
      3.047942543668584,
      2.945233444692574,
      2.848028252014757,
      2.756342619558839,
      2.670144660323188,
      2.589351237018826,
      2.5138238724768445,
      2.4433609120998763,
      2.3777152933941497,
      2.3166116572486932,
      2.2597538176276055,
      2.2068187961041668,
      2.1574451118043534,
      2.1112339133685003,
      2.0678051965070723,
      2.026813464035467,
      1.9879164915119416,
      1.9508126522549567,
      1.9152653780831046,
      1.8810900905401728,
      1.8481393619610726,
      1.816292768463338,
      1.7854465318918498,
      1.7555135205019323,
      1.7264237121193455,
      1.6981197178699488,
      1.6705514571192293,
      1.6436741539249313,
      1.6174498458907405,
      1.5918459075192999,
      1.566833743190825,
      1.5423878515020892,
      1.51848515567151,
      1.495104518764426,
      1.472226390898828,
      1.4498325496256488,
      1.4279059064017194,
      1.4064303596300487,
      1.3853906825368445,
      1.3647727176027646,
      1.3445637053810322,
      1.3247513664792527,
      1.305323746256479,
      1.2862692609658692,
      1.267576760936308,
      1.2492359720224828,
      1.231237186681601,
      1.2135708668251401,
      1.1962277060155264,
      1.179198666218869,
      1.1624749972076813,
      1.1460482460199473,
      1.1299103783044084,
      1.1140543998748427,
      1.098474049323126,
      1.0831631269366209,
      1.0681153107678436,
      1.0533242693662885,
      1.0387836509353703,
      1.0244870202440688,
      1.0104281473342003,
      0.9966010517745034,
      0.9829999851335955,
      0.9696194151798805,
      0.9564540127107517,
      0.9434986402283504,
      0.9307483422884023,
      0.9181983359699282,
      0.905844024731513,
      0.8936817892665324,
      0.8817085474950215,
      0.8699209303124765,
      0.8583154137151335,
      0.8468884054460416,
      0.8356363033367468,
      0.8245555338143141,
      0.8136425764596248,
      0.8028939799124193,
      0.792306371294917,
      0.7818764613597283,
      0.771601047201661,
      0.7614779751057216,
      0.7515057509005044,
      0.7416824376168871,
      0.7320058085974543,
      0.7224734657190608,
      0.7130826144879696,
      0.7038299553888723,
      0.6947123164069265,
      0.6857267615001306,
      0.6768705444459664,
      0.6681410689793883,
      0.6595358604769678,
      0.6510525459805616,
      0.6426888399086254,
      0.6344425334274415,
      0.6263114862022446,
      0.618293621083249,
      0.6103869192117779,
      0.6025894165431886,
      0.5948992006727698,
      0.5873144081762913,
      0.5798332225475865,
      0.5724538723866409,
      0.5651746293875557,
      0.5579938068722566,
      0.5509097581142534,
      0.5439208751715701,
      0.5370255878300714,
      0.5302223617993576,
      0.5235096978707311,
      0.5168861306198521,
      0.5103502274731211,
      0.5039005875842822,
      0.497535840832132,
      0.49125464696878707,
      0.4850556948731253,
      0.4789377014059875,
      0.4728994106333384,
      0.4669395930400256,
      0.4610570447128904,
      0.4552505867763551,
      0.44951906442324197,
      0.44386134643391223,
      0.438276324270753,
      0.4327629116419758,
      0.42732004379944255,
      0.42194667700590477,
      0.4166417878433111,
      0.41140437277145137,
      0.4062334476849374,
      0.4011280469881416,
      0.39608722351115827,
      0.3911100478964006,
      0.3861956079665103,
      0.3813430085574634,
      0.3765513708531087,
      0.37181983203589203,
      0.3671475246562797,
      0.3625333838219602,
      0.35797629140212966,
      0.3534752450092063,
      0.34902932600760755,
      0.3446376778701782,
      0.3402994907084428,
      0.3360139905885622,
      0.33178043226068976,
      0.3275980938020323,
      0.32346627269840605,
      0.3193842832243095,
      0.3153514547835185,
      0.31136713020059353,
      0.30743066490018334,
      0.3035414260438786,
      0.2996987918776831,
      0.29590215102140716,
      0.2921509023737193,
      0.28844445481887576,
      0.28478222673573655,
      0.2811637056778568,
      0.2775885125720539,
      0.2740563778564839,
      0.27056721081880886,
      0.26712081736599286,
      0.2637168994273937,
      0.260355149738061,
      0.25703524982570225,
      0.2537568151649181,
      0.2505194136150173,
      0.24732258251673883,
      0.24416584038648448,
      0.24104869516076236,
      0.23797086761073039,
      0.23493227410605272,
      0.23193272795430084,
      0.22897193795571014,
      0.22604954154892376,
      0.22316512963972443,
      0.22031821050163897,
      0.21750824305153496,
      0.21473470444978413,
      0.21199708726961122,
      0.20929489679288898,
      0.2066276494728444,
      0.2039949380450473,
      0.20139644934290815,
      0.19883183962159492,
      0.19630073177387003,
      0.19380272804943768,
      0.1913374187150382,
      0.18890438794919215,
      0.1865032176041573,
      0.18413349008482596,
      0.18179478987130263,
      0.1794867049645048,
      0.17720882747120656,
      0.17496075429839913,
      0.17274208726012166,
      0.170552433208071,
      0.16839140446689296,
      0.16625861843058481,
      0.16415369792274884,
      0.16207627088975507,
      0.16002597047691114,
      0.15800243509900921,
      0.1560053081692771,
      0.1540342380072589,
      0.15208887793839143,
      0.15016888616575183,
      0.14827392568157066,
      0.14640366416000059,
      0.14455777392098618,
      0.14273593183112826,
      0.1409378192943064,
      0.13916312207102546,
      0.1374115303335537,
      0.13568273853082183,
      0.13397644538043635,
      0.1322923536830363,
      0.13063017023186824,
      0.1289896059825889,
      0.1273703758669883,
      0.1257721986831013,
      0.12419479699064973,
      0.12263789734301259,
      0.12110122987666395,
      0.11958450421619018,
      0.1180874192471897,
      0.11660969052880185,
      0.11515104620242116,
      0.1137112241649215,
      0.1122899700341974,
      0.11088703577274664,
      0.10950217866445279,
      0.10813516051387856,
      0.10678574720463242,
      0.10545370850107122,
      0.10413881762794637,
      0.1028408511101079,
      0.10155958863610784,
      0.10029481307904835,
      0.09904631024850588,
      0.09781386879885637,
      0.09659728035088735,
      0.09539633929948094,
      0.09421084275145813,
      0.09304059050486042,
      0.09188538509480862,
      0.09074503159440772,
      0.08961933771092877,
      0.08850811373224751,
      0.08741117227858994,
      0.08632832855892898,
      0.08525940024193324,
      0.08420420743464416,
      0.0831625725007238,
      0.0821343202180687,
      0.08111927769031649,
      0.0801172742381485,
      0.079128141406788,
      0.07815171308622396,
      0.07718782513444314,
      0.07623631567567285,
      0.07529702504108354,
      0.07436979546919138,
      0.07345447139558495,
      0.07255089921938701,
      0.07165892732809861,
      0.07077840621873613,
      0.06990918828345963,
      0.06905112780541099,
      0.06820408092681488,
      0.06736790567778943,
      0.0665424620598834,
      0.06572761179025916,
      0.06492321842766563,
      0.06412914733001841,
      0.06334526548531044,
      0.06257144174298951,
      0.06180754658443948,
      0.06105342356558148,
      0.06030889092870048,
      0.059573784244849846,
      0.0588479546709286,
      0.05813126451244576,
      0.05742358440398931,
      0.05672479109408787,
      0.05603476584543098,
      0.05535339375571549,
      0.05468056281964873,
      0.05401616346960928,
      0.05336008819895966,
      0.052712231345550746,
      0.052072488952521596,
      0.051440758593977634,
      0.05081693938501381,
      0.05020093185396376,
      0.04959263775682153,
      0.04899196011879523,
      0.04839880333789192,
      0.047813072864457774,
      0.047234675581263985,
      0.046663519463801074,
      0.04609951360085731,
      0.04554256323213112,
      0.04499254557803108,
      0.0444493355696245,
      0.04391282186731501,
      0.043382903013593044,
      0.04285948464004079,
      0.042342477668646135,
      0.04183179701064077,
      0.041327360710498,
      0.040829089092300715,
      0.040336904468496595,
      0.039850730881482145,
      0.039370493766482446,
      0.03889611979128836,
      0.03842753678960816,
      0.03796467351802249,
      0.0375074597691818,
      0.037055826390770194,
      0.03660970504419425,
      0.03616902857084507,
      0.03573373310241273,
      0.035303756339343496,
      0.03487903561902043,
      0.03445950828829869,
      0.03404511199641658,
      0.033635784769398075,
      0.03323146506387555,
      0.03283209194336361,
      0.032437605110521454,
      0.03204794497051798,
      0.03166305248717709,
      0.03128286942307057,
      0.03090733825186469,
      0.03053640193016112,
      0.030170004173837976,
      0.029808089479818604,
      0.029450602934476117,
      0.02909749030736494,
      0.02874869802677228,
      0.028404173227926075,
      0.028063863647840418,
      0.027727717704007844,
      0.027395684438900312,
      0.02706771349554761,
      0.026743742379513723,
      0.02642369880281994,
      0.026107517691287174,
      0.02579514005005406,
      0.025486511295252184,
      0.02518158028999899,
      0.024880298371300447,
      0.02458261875902183,
      0.024288496194607597,
      0.023997886604864106,
      0.02371074687861046,
      0.023427034850526902,
      0.023146709129685666,
      0.0228697289056232,
      0.02259605392848756,
      0.022325644523121975,
      0.022058461541985278,
      0.021794466319660498,
      0.021533620801530887,
      0.02127588732453704,
      0.02102122873700474,
      0.020769608310165576,
      0.020520989740594495,
      0.020275337205104823,
      0.02003261528414529,
      0.019792789058368912,
      0.01955582395248502,
      0.019321685752570022,
      0.01909034066918449,
      0.018861755427562858,
      0.0186358971371374,
      0.018412733200900994,
      0.018192231410241844,
      0.017974360085825286,
      0.017759087845168123,
      0.017546383676971613,
      0.01733621687033798,
      0.017128557244333504,
      0.016923374857820025,
      0.01672064011469863,
      0.016520323787954264,
      0.016322396968417155,
      0.016126831218739337,
      0.015933598417351643,
      0.01574267063541765,
      0.01555402040276213,
      0.01536762052993799,
      0.015183444109888478,
      0.01500146468595675,
      0.014821656084444815,
      0.01464399234370101,
      0.014468447866975955,
      0.014294997417345384,
      0.014123616088610642,
      0.013954279061336254,
      0.013786961950833619,
      0.01362164069236657,
      0.013458291434030227,
      0.013296890697694873,
      0.013137415197798142,
      0.012979841953616851,
      0.012824148345302168,
      0.012670311968011433,
      0.012518310556744799,
      0.012368122223264132,
      0.012219725357687911,
      0.012073098594440862,
      0.011928220836653318,
      0.011785071249732633,
      0.011643629135038606,
      0.011503874147721334,
      0.0113657862295502,
      0.011229345434781213,
      0.011094532131813105,
      0.010961326888054412,
      0.010829710539934862,
      0.010699664155836031,
      0.010571168936350702,
      0.010444206376005228,
      0.010318758184112466,
      0.010194806346719506,
      0.01007233304311488,
      0.00995132071589515,
      0.009831751862111462,
      0.00971360918083152,
      0.009596875638839417,
      0.009481534441997105,
      0.009367568988286772,
      0.009254962942848116,
      0.009143700046464656,
      0.009033764287129145
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785759688571053,
      10.568037687635787,
      10.340884573373215,
      10.107204924071837,
      9.869574715615588,
      9.630168566538506,
      9.390907666690337,
      9.15343148201932,
      8.919127341343119,
      8.689132253946285,
      8.464317265698845,
      8.24528991521242,
      8.032406803359553,
      7.825796414020619,
      7.625390547082498,
      7.430961259378527,
      7.242156416602561,
      7.058535016411673,
      6.879600340052832,
      6.704829271217325,
      6.533695499230841,
      6.365689152707177,
      6.200334531354663,
      6.037201566555307,
      5.875920069214344,
      5.716193266683294,
      5.557796531193912,
      5.400573781484719,
      5.244439494434966,
      5.089382891460844,
      4.935469073720931,
      4.782820948909892,
      4.631609902586345,
      4.48206939224053,
      4.334488929390057,
      4.189202791737926,
      4.046577899196585,
      3.907008257961461,
      3.770909939152671,
      3.6386878322199188,
      3.5107168089178273,
      3.387332607757122,
      3.268824987927191,
      3.155432309190048,
      3.0473384481954047,
      2.944672258920421,
      2.847510624292999,
      2.7558684049617774,
      2.6697129536120467,
      2.5889602457199663,
      2.513470882971678,
      2.4430422662031184,
      2.377426965945335,
      2.3163495414002306,
      2.2595135888479274,
      2.2065960431082416,
      2.157235210424593,
      2.1110321433415846,
      2.0676075026398464,
      2.02661610414807,
      1.9877161848821994,
      1.9506069073014007,
      1.9150523839195535,
      1.8808685628359458,
      1.8479083971826136,
      1.8160517203016722,
      1.7851949274441503,
      1.755251098519151,
      1.7261503637574576,
      1.697835442570223,
      1.6702563763885607,
      1.6433684481804822,
      1.6171337153886232,
      1.5915195658454078,
      1.5664974106673977,
      1.5420417517674756,
      1.5181295121767389,
      1.4947395530142693,
      1.4718523212628492,
      1.4494495901542694,
      1.4275142659974174,
      1.4060302417710473,
      1.3849822852418432,
      1.3643562526045039,
      1.344139381328145,
      1.324319379950296,
      1.3048842846407631,
      1.285822503371218,
      1.267122904991864,
      1.2487752455645504,
      1.2307697913111866,
      1.2130969853950595,
      1.1957475070939847,
      1.1787123073106476,
      1.161982627087979,
      1.1455500066876996,
      1.129406421151588,
      1.113544899827269,
      1.0979591744857529,
      1.0826430294792684,
      1.0675901307886049,
      1.05279413809936,
      1.0382487501745812,
      1.0239475806613794,
      1.0098843572081415,
      0.9960530704786503,
      0.9824479510376082,
      0.9690634515922633,
      0.955894232176103,
      0.9429351475417008,
      0.9301812362816437,
      0.9176277110906093,
      0.9052700620350829,
      0.8931047960102048,
      0.8811287564290982,
      0.8693385234364954,
      0.8577305376167749,
      0.8463011821372155,
      0.8350468375749592,
      0.8239639181462989,
      0.8130488949129845,
      0.8022983100889329,
      0.7917087862430534,
      0.781277030824441,
      0.7709999553897042,
      0.760875614311939,
      0.7509024188178777,
      0.741078350349558,
      0.7314011264708944,
      0.7218683111275729,
      0.7124771158125992,
      0.703224228347272,
      0.6941064528523839,
      0.6851208362302472,
      0.6762646204547295,
      0.6675352008881508,
      0.6589300972735774,
      0.650446932463535,
      0.6420834178075155,
      0.6338373420501329,
      0.6257065634244238,
      0.6176890036921006,
      0.6097826428077211,
      0.6019855158899775,
      0.5942957097598092,
      0.5867113604505331,
      0.5792306510111523,
      0.5718518092551109,
      0.5645731062237003,
      0.5573928549414711,
      0.5503094083265722,
      0.5433211580176982,
      0.5364265330057626,
      0.5296239983562524,
      0.5229120544878589,
      0.5162892355889435,
      0.5097541083471693,
      0.503305271379104,
      0.49694135432330067,
      0.490661016601455,
      0.484462946488649,
      0.47834586034383436,
      0.47230850182686684,
      0.466349640929005,
      0.46046807330294437,
      0.4546626195399861,
      0.44893212439901503,
      0.44327545629470133,
      0.43769150628553166,
      0.43217918755612156,
      0.42673743498961975,
      0.42136520440081326,
      0.4160614720177045,
      0.4108252338068043,
      0.4056555050504126,
      0.40055131972120145,
      0.39551173034317244,
      0.39053580706831914,
      0.3856226373451606,
      0.3807713254930929,
      0.3759809923122186,
      0.37125077467899475,
      0.36657978718579376,
      0.3619669391878238,
      0.35741112625646254,
      0.352911355203636,
      0.3484667138819889,
      0.34407635000733844,
      0.3397394565033155,
      0.33545526138513804,
      0.3312230205189673,
      0.32704201255969273,
      0.3229115354393785,
      0.31883090364526057,
      0.31479944655907305,
      0.31081650692455226,
      0.3068814400246699,
      0.30299361262517394,
      0.2991524026876081,
      0.2953571986814182,
      0.29160739910496347,
      0.2879024124051157,
      0.28424165673786556,
      0.28062465630791883,
      0.27705103578318785,
      0.2735205478775589,
      0.2700330964796787,
      0.2665884678985464,
      0.26318635727930834,
      0.25982646252340985,
      0.25650845600795685,
      0.2532319421128392,
      0.24999648098071683,
      0.24680160447655772,
      0.24364682722368847,
      0.24053170472838364,
      0.23745607559865411,
      0.23441982760423583,
      0.23142272711678233,
      0.22846444846662492,
      0.22554460528808545,
      0.2226627680458415,
      0.21981842604461593,
      0.21701103348637407,
      0.21424006511419197,
      0.21150501174420203,
      0.20880537752824946,
      0.20614070792380768,
      0.20351067210277357,
      0.20091493516031925,
      0.1983531237406326,
      0.1958248405627324,
      0.19332967413545712,
      0.19086720539251983,
      0.18843701206196006,
      0.18603867169034338,
      0.18367176362587295,
      0.18133587042694926,
      0.1790305787521661,
      0.1767554798375494,
      0.17451016981780781,
      0.17229425004549523,
      0.1701073272571702,
      0.16794901349835215,
      0.16581892610643578,
      0.1637166877386914,
      0.1616419263253031,
      0.15959427502343493,
      0.15757337219828305,
      0.15557886131009288,
      0.1536103906943404,
      0.15166761360355302,
      0.14975018830702627,
      0.14785777791282032,
      0.14599005003162718,
      0.14414667696225833,
      0.14232733566824743,
      0.14053170759653275,
      0.1387594785792215,
      0.13701033878040866,
      0.13528398270659892,
      0.13358010897602945,
      0.13189842040579622,
      0.13023862397805758,
      0.1286004305394762,
      0.12698355505957348,
      0.12538771648838606,
      0.12381263752525537,
      0.122258044666268,
      0.12072366812407644,
      0.1192092354714616,
      0.11771445057181307,
      0.11623902150896309,
      0.11478267146995833,
      0.11334513488656744,
      0.1119261550439714,
      0.11052548225569783,
      0.1091428726305528,
      0.10777808740029288,
      0.10643089199234228,
      0.10510105584219419,
      0.10378835202223068,
      0.10249255695345579,
      0.10121345030668612,
      0.09995081487032186,
      0.09870443644822499,
      0.09747410379937015,
      0.09625960853723187,
      0.09506074508338018,
      0.09387731056709686,
      0.09270910493824366,
      0.09155593070796808,
      0.09041759299769202,
      0.08929389966706662,
      0.08818466101243337,
      0.08708968979236292,
      0.08600880129346372,
      0.0849418132523275,
      0.08388854573569081,
      0.08284882132110333,
      0.08182246482895815,
      0.08080930334852011,
      0.07980916628492274,
      0.07882188533814444,
      0.07784729440760568,
      0.07688522947931706,
      0.0759355286731171,
      0.0749980323421243,
      0.07407258290711993,
      0.07315902485085028,
      0.07225720471982139,
      0.07136697099386738,
      0.07048817412186104,
      0.06962066654535437,
      0.06876430261522101,
      0.06791893864248585,
      0.06708443274633004,
      0.06626064495728042,
      0.06544743712976028,
      0.06464467288725706,
      0.06385221758014029,
      0.06306993838366078,
      0.06229770414817178,
      0.06153538548472318,
      0.06078284488796257,
      0.0600399062953539,
      0.05930639754378405,
      0.05858216456056358,
      0.057867066039698836,
      0.05716097010267614,
      0.05646375175221869,
      0.05577529123700025,
      0.055095472780095786,
      0.05442418383164438,
      0.053761314429216715,
      0.05310675700071785,
      0.052460405781958035,
      0.051822156724626436,
      0.05119190742357745,
      0.050569556922943175,
      0.049955005750688924,
      0.04934815572954607,
      0.04874891002205708,
      0.04815717307884089,
      0.04757285051542077,
      0.04699584922267255,
      0.046426077252821704,
      0.04586344383101978,
      0.04530785932035293,
      0.044759227606220614,
      0.0442174239310241,
      0.04368232694849942,
      0.04315382827638719,
      0.04263182872813026,
      0.04211623598354174,
      0.04160696266112575,
      0.04110392515085939,
      0.040607042776398455,
      0.04011623722631005,
      0.03963143200716119,
      0.039152552225013605,
      0.038679524369630514,
      0.03821227618066806,
      0.037750736314951114,
      0.03729483462805306,
      0.03684450193868481,
      0.036399670022927856,
      0.03596027170404456,
      0.03552624313467018,
      0.03509752205923076,
      0.034674045837813715,
      0.03425575204461329,
      0.03384257837370033,
      0.03343446283119623,
      0.033031344059476726,
      0.03263316122783557,
      0.03223985405555122,
      0.031851363012207014,
      0.03146762919307488,
      0.031088594384707867,
      0.030714201120618286,
      0.030344392523264176,
      0.029979112460303492,
      0.02961830540452015,
      0.029261916515675883,
      0.028909891636038278,
      0.02856217736482015,
      0.028218720919345595,
      0.027879470039657333,
      0.02754437322964067,
      0.02721337963796298,
      0.026886439056563904,
      0.026563501695372475,
      0.026244517011974933,
      0.025929419777942452,
      0.025618140537498564,
      0.025310617414117952,
      0.02500679410865021,
      0.02470661834969327,
      0.024410040811192028,
      0.024117014550577225,
      0.023827494220564033,
      0.023541435923607575,
      0.023258796804578777,
      0.02297953504844404,
      0.022703609589235917,
      0.022430980108268286,
      0.02216160690794578,
      0.021895450800973618,
      0.02163247319859831,
      0.021372635933799084,
      0.021115901379057254,
      0.020862232451564256,
      0.02061159253795908,
      0.02036394540809487,
      0.02011925530214814,
      0.01987748679668681,
      0.019638605009450888,
      0.01940257545638452,
      0.019169364126292925,
      0.018938937315720248,
      0.01871126171950069,
      0.01848630456753398,
      0.01826403334345871,
      0.018044415962666663,
      0.017827420703812366,
      0.017613016338744854,
      0.0174011718702209,
      0.017191856722109242,
      0.016985040619539534,
      0.01678069374996201,
      0.016578786684518454,
      0.016379290237258606,
      0.01618217556052149,
      0.015987414299018007,
      0.015794978402325053,
      0.01560484006571158,
      0.015416971754852894,
      0.015231346422137082,
      0.015047937298769933,
      0.014866717878946457,
      0.014687662076687043,
      0.014510744008929209,
      0.014335938123148909,
      0.014163219198929685,
      0.013992562350626177,
      0.013823942974475721,
      0.013657336715637057,
      0.013492719512555236,
      0.0133300675980012,
      0.013169357533229632,
      0.013010566071223396,
      0.012853670320175726,
      0.012698647723541755,
      0.012545475914353177,
      0.012394132799275018,
      0.01224459648436626,
      0.012096845437709228,
      0.011950858251868346,
      0.011806613910008808,
      0.01166409162067937,
      0.011523270755276163,
      0.011384131072499797,
      0.011246652511617983,
      0.011110815311075588,
      0.01097659980365773,
      0.010843986555606493,
      0.010712956424004829,
      0.010583490589713218,
      0.010455570375434665,
      0.010329177325043497,
      0.010204293220304533,
      0.010080899945662379,
      0.009958979760834782,
      0.009838515116465146,
      0.00971948862359804,
      0.009601883099960674,
      0.009485681616850596,
      0.009370867350097737,
      0.009257423762225901,
      0.009145334461056698,
      0.009034583307227156,
      0.008925154325398128
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785755099337656,
      10.568015820316946,
      10.340835548670235,
      10.107122142530237,
      9.869454936669811,
      9.630010378116658,
      9.39071093447944,
      9.153197178125643,
      8.918856902601105,
      8.688827418449891,
      8.463979919719476,
      8.24492184223482,
      8.032009575874863,
      7.825371326531531,
      7.624938588143234,
      7.430483113504753,
      7.241652487362054,
      7.058005474276266,
      6.879045183414512,
      6.704248395839154,
      6.533088492361657,
      6.3650555461383505,
      6.199674097240978,
      6.036514323912623,
      5.875206366468358,
      5.715453892448037,
      5.557032650131862,
      5.399786994050335,
      5.243631880249765,
      5.088556937367742,
      4.934627811843005,
      4.781967990216175,
      4.630749167105776,
      4.481205101786491,
      4.333625544689593,
      4.188344932294616,
      4.045730289074293,
      3.9061759648169794,
      3.7700981860455727,
      3.637901499057301,
      3.5099602966172636,
      3.386609724806229,
      3.2681389378751726,
      3.1547856883242296,
      3.046733233282924,
      2.9441098132736148,
      2.8469914928192956,
      2.7553924581681803,
      2.66927921465017,
      2.588566935223808,
      2.5131153245890236,
      2.4427208466237817,
      2.3771357050707924,
      2.3160843747834763,
      2.2592702317704068,
      2.2063701218333263,
      2.157022134857712,
      2.1108272224241817,
      2.067406645256944,
      2.02641555831915,
      1.987512711750176,
      1.9503980466415631,
      1.9148363466670903,
      1.8806440797870487,
      1.8476745759398967,
      1.8158079211846947,
      1.78494068127214,
      1.7549861456498075,
      1.7258745954785346,
      1.6975488580275049,
      1.6699590950740941,
      1.643060648027845,
      1.6168155951544672,
      1.5911913363895203,
      1.5661592897585017,
      1.5416939603314748,
      1.517772271630182,
      1.4943730825608592,
      1.4714768364198887,
      1.4490653019947015,
      1.4271213810509555,
      1.4056289618154227,
      1.3845728063171874,
      1.36393878379491,
      1.3437141296556823,
      1.3238865408427178,
      1.3044440438586902,
      1.2853750386399816,
      1.2666684120525777,
      1.24831394976809,
      1.2303018928121316,
      1.2126226654778072,
      1.1952669328987306,
      1.1782256349098157,
      1.1614900042850693,
      1.1450515743672007,
      1.1289023294549891,
      1.113035321943523,
      1.0974442771659625,
      1.0821229636727532,
      1.0670650359182206,
      1.0522641448162338,
      1.0377140101798725,
      1.0234083175215312,
      1.0093407698802153,
      0.9955053247976531,
      0.9818961896185951,
      0.9685078005993256,
      0.9553348060364886,
      0.9423720520700931,
      0.9296145707269695,
      0.9170575697190786,
      0.9046966251766062,
      0.8925283703666138,
      0.8805495741643942,
      0.8687567655787319,
      0.8571463499065507,
      0.8457146857625294,
      0.8344581366969498,
      0.823373104739875,
      0.8124560523575147,
      0.8017035153634612,
      0.7911121115453693,
      0.7806785449723137,
      0.7703998644737675,
      0.7602743200382039,
      0.7503002068389324,
      0.740475427920048,
      0.7307976477011968,
      0.7212643938992281,
      0.711872884920983,
      0.7026197969950307,
      0.6935019115437716,
      0.6845162586857693,
      0.6756600685300765,
      0.6669307284857605,
      0.6583257526472797,
      0.6498427599407249,
      0.6414794587300313,
      0.6332336356239434,
      0.6251031471751705,
      0.6170859136037822,
      0.6091799141380102,
      0.6013831830360997,
      0.593693806319319,
      0.5861099194521895,
      0.5786297046804652,
      0.571251389433113,
      0.5639732443976617,
      0.5567935817857396,
      0.5497107540498927,
      0.5427231522965505,
      0.5358292051398286,
      0.529027377418293,
      0.5223161688313339,
      0.5156941130864044,
      0.5091597765463592,
      0.5027117573480547,
      0.4963486845141997,
      0.4900692170648782,
      0.4838720428783033,
      0.47775587783932305,
      0.4717194651780081,
      0.465761574469058,
      0.4598810008799697,
      0.4540765644937524,
      0.44834710958298835,
      0.4426915039144091,
      0.43710863813821876,
      0.4315974251887952,
      0.4261567994457632,
      0.4207857162925357,
      0.4154831514149102,
      0.41024810040077364,
      0.40507957821113405,
      0.39997661852508254,
      0.3949382732653009,
      0.3899636121534802,
      0.38505172211951505,
      0.380201707176456,
      0.3754126878226734,
      0.3706838005064731,
      0.366014141841098,
      0.36140259553434745,
      0.3568480708878211,
      0.3523495840422614,
      0.3479062291369723,
      0.34351715819540135,
      0.3391815670813492,
      0.3348986854795316,
      0.33066777049895174,
      0.32648810154916685,
      0.3223589767529456,
      0.3182797107956458,
      0.31424963299571,
      0.31026808606298373,
      0.30633442496834024,
      0.3024480162404419,
      0.2986082375488837,
      0.2948144770387117,
      0.29106613297570544,
      0.28736261351113723,
      0.2837033418431968,
      0.28008787612831604,
      0.2765158391190407,
      0.2729870065222043,
      0.26950127749724945,
      0.2660584200410552,
      0.26265812777836195,
      0.2593001007560777,
      0.25598399699666236,
      0.2527094109407545,
      0.2494758955757568,
      0.24628297773093422,
      0.24313016864785117,
      0.2400171252424983,
      0.23694375562810346,
      0.23390989558286213,
      0.23091526813884,
      0.22795951773754347,
      0.2250422375035842,
      0.2221629787052747,
      0.21932121379047095,
      0.21651639424146538,
      0.21374799282002227,
      0.21101549901588054,
      0.20831842399589767,
      0.20565639611978942,
      0.20302909080404677,
      0.20043613941582092,
      0.19787714572976603,
      0.1953516969037517,
      0.19285937081804624,
      0.19039974115496788,
      0.18797238070924382,
      0.1855768635905735,
      0.18321276692571048,
      0.1808796717485102,
      0.1785771636794856,
      0.17630483315655346,
      0.17406227585400683,
      0.1718490928465051,
      0.16966489063946766,
      0.16750928111159677,
      0.16538188145164867,
      0.16328231435066307,
      0.16121020770601263,
      0.15916519464486473,
      0.15714691357423377,
      0.15515500788289374,
      0.15318912603254395,
      0.15124892128111184,
      0.14933405189037044,
      0.14744418087694494,
      0.14557897594889319,
      0.1437381095192498,
      0.14192125851727563,
      0.1401281043970745,
      0.1383583330453931,
      0.1366116345625583,
      0.13488770350153023,
      0.1331862385856499,
      0.13150694278945887,
      0.12984952305695194,
      0.12821369036320635,
      0.12659915969911603,
      0.1250056499480066,
      0.12343288376809226,
      0.12188058772845203,
      0.12034849213337451,
      0.11883633092846517,
      0.11734382514799735,
      0.11587067865218699,
      0.11441660830647116,
      0.11298134444512284,
      0.11156462743314363,
      0.11016620563907276,
      0.10878583392024509,
      0.10742327244952812,
      0.10607828600615928,
      0.10475064368340367,
      0.10344011822984983,
      0.10214648600757316,
      0.10086952666389683,
      0.09960902294803464,
      0.09836476067835166,
      0.0971365285803254,
      0.09592411832535587,
      0.09472732428727997,
      0.09354594370254114,
      0.09237977657936593,
      0.09122862557245086,
      0.09009229586682146,
      0.08897059523573886,
      0.08786333409521663,
      0.08677032533878706,
      0.08569138424463382,
      0.08462632862331493,
      0.08357497870748426,
      0.08253715708837842,
      0.08151268860963183,
      0.08050140047610103,
      0.07950312221871131,
      0.07851768556544042,
      0.07754492447951526,
      0.07658467495439514,
      0.07563677525819637,
      0.07470106582059961,
      0.07377738915312725,
      0.07286558977060137,
      0.07196551428212572,
      0.07107701126397409,
      0.07019993119993759,
      0.06933412663255821,
      0.06847945204159793,
      0.06763576374593543,
      0.06680292000308351,
      0.06598078087698063,
      0.065169208306681,
      0.0643680660135876,
      0.06357721945008223,
      0.0627965358119884,
      0.062025884050979974,
      0.06126513489361565,
      0.06051416068576193,
      0.0597728022047651,
      0.05904087994851719,
      0.0583182337246047,
      0.057604718148605974,
      0.056900198471123924,
      0.05620454774375362,
      0.055517644896446734,
      0.05483937321575368,
      0.05416961968273211,
      0.053508273997608734,
      0.052855228311374236,
      0.05221037670579131,
      0.05157361503410773,
      0.050944840834906434,
      0.05032395319223122,
      0.0497108526907045,
      0.049105441188477386,
      0.048507621849580115,
      0.047917299184606674,
      0.047334378886177184,
      0.04675876798743816,
      0.0461903745704752,
      0.04562910785430841,
      0.04507487836660122,
      0.04452759770997748,
      0.04398716806113738,
      0.04345346422973235,
      0.04292636825370614,
      0.04240577429862932,
      0.041891585510460926,
      0.04138371130684512,
      0.040882065876203244,
      0.04038656703878993,
      0.039897135477942276,
      0.0394136940588634,
      0.03893616731806121,
      0.038464481509594986,
      0.037998564123343286,
      0.03753834389821416,
      0.03708375056628807,
      0.03663471489680168,
      0.036191168610543854,
      0.03575304464753072,
      0.035320279185682535,
      0.03489281002740687,
      0.034470574731848704,
      0.03405351083230399,
      0.033641556110711346,
      0.033234648720475414,
      0.032832727272520325,
      0.032435731024707634,
      0.03204359991497948,
      0.031656274456907,
      0.031273695873193605,
      0.03089580599301677,
      0.03052254730143192,
      0.030153863064322505,
      0.029789697154326073,
      0.02942999428952942,
      0.029074699670690797,
      0.028723759247460953,
      0.028377119653135687,
      0.028034728164558747,
      0.02769653264527261,
      0.02736248168515845,
      0.027032524434316613,
      0.02670661061702092,
      0.026384690653122832,
      0.026066715639016767,
      0.025752637187925406,
      0.025442403922007417,
      0.025135949170408668,
      0.024833206930664434,
      0.02453411810851853,
      0.024238628658041484,
      0.02394668819961023,
      0.023658249256883243,
      0.023373266250102782,
      0.0230916953179323,
      0.02281349388472324,
      0.022538620334912673,
      0.022267033958189134,
      0.021998694802784557,
      0.021733563614251286,
      0.02147160166276795,
      0.021212770820379145,
      0.02095703355788409,
      0.02070435279162418,
      0.020454691890623457,
      0.020208014615867364,
      0.01996428534724553,
      0.01972346879764087,
      0.019485530110046327,
      0.01925043482267996,
      0.01901814891851296,
      0.018788638844498336,
      0.01856187141816354,
      0.018337813926763303,
      0.018116433928945387,
      0.01789769935027153,
      0.017681578605440652,
      0.017468040500023953,
      0.0172570541337175,
      0.0170485889888746,
      0.016842614881015593,
      0.016639102126695404,
      0.016438021299798725,
      0.016239343319798646,
      0.016043039477763137,
      0.01584908131089035,
      0.015657440802664232,
      0.015468090298469699,
      0.015281002403452669,
      0.015096150059539376,
      0.014913506579278982,
      0.014733045598501802,
      0.014554740941020846,
      0.014378566846877569,
      0.014204497832933287,
      0.014032508745725874,
      0.013862574707352948,
      0.013694671253220329,
      0.013528774089654999,
      0.013364859240564776,
      0.013202903029484658,
      0.013042881993222389,
      0.0128847730124921,
      0.012728553240180525,
      0.012574200113434854,
      0.012421691278049873,
      0.012271004767833021,
      0.012122118880264435,
      0.01197501202778775,
      0.011829662920244429,
      0.011686050519539542,
      0.01154415403972082,
      0.011403953030855344,
      0.011265427273396966,
      0.011128556666973759,
      0.010993321437911523,
      0.010859702131464005,
      0.010727679421020547,
      0.010597234159516696,
      0.01046834746316037,
      0.010341000815766834,
      0.010215175817723082,
      0.010090854190281264,
      0.009968017951863894,
      0.00984664937288116,
      0.00972673095714034,
      0.009608245328523947,
      0.009491175442872065,
      0.009375504374665814,
      0.009261215365137758,
      0.00914829187738735,
      0.009036717601480846,
      0.008926476434841445,
      0.008817552469949629
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785750524040617,
      10.567994012692498,
      10.34078667360694,
      10.10703960156407,
      9.869335473794667,
      9.629852558096827,
      9.390514606778025,
      9.152963305458243,
      8.91858690982443,
      8.68852303286717,
      8.463643016875357,
      8.244554195863174,
      8.031612750574082,
      7.824946611769252,
      7.624486967659156,
      7.430005270798787,
      7.241148826586139,
      7.057476166682554,
      6.878490227840916,
      6.70366763766843,
      6.532481479284758,
      6.364421817961218,
      6.199013432792658,
      6.035826747918862,
      5.874492231176577,
      5.714713988311257,
      5.556268145700942,
      5.398999491922703,
      5.242823460409322,
      5.087730086356192,
      4.933785560648962,
      4.78111394576828,
      4.6298872449715285,
      4.480339519126854,
      4.332760757197477,
      4.187485556295628,
      4.044881046076002,
      3.9053419207201387,
      3.769284581825251,
      3.6371132126597963,
      3.5092017280023318,
      3.3858846825552913,
      3.267450627027762,
      3.1541367059570837,
      3.046125556392448,
      2.943544806712757,
      2.846469681159004,
      2.7549137197777545,
      2.6688425046645525,
      2.5881704233388048,
      2.51275636845458,
      2.4423958734883318,
      2.376840777046426,
      2.315815466402944,
      2.2590230946211025,
      2.2061404147856187,
      2.1568052907875477,
      2.1106185766165653,
      2.0672021232754667,
      2.026211423270186,
      1.987305739731402,
      1.9501857882020865,
      1.9146170206005277,
      1.8804164223924686,
      1.847437697158163,
      1.8155611822217983,
      1.784683612925481,
      1.7547184873817758,
      1.7255962367408717,
      1.6972597953247586,
      1.6696594448912754,
      1.642750584906104,
      1.6164953139496558,
      1.5908610450551068,
      1.565819203516098,
      1.5413442975874079,
      1.5174132508233171,
      1.494004920090988,
      1.4710997458046793,
      1.4486794927749667,
      1.426727057438325,
      1.4052263229582136,
      1.3841620462968889,
      1.3635201100157994,
      1.3432877470408149,
      1.323452642975911,
      1.3040028148732894,
      1.284926654353699,
      1.266213066232372,
      1.2478518671077676,
      1.229833272254696,
      1.2121476868052794,
      1.194785761822969,
      1.1777384265129878,
      1.1609969048085171,
      1.1445527230771406,
      1.1283978752820085,
      1.1125254374823847,
      1.0969291280779079,
      1.0816026997852133,
      1.066539795046684,
      1.0517340555230814,
      1.0371791942340298,
      1.0228689807351226,
      1.008797124939928,
      0.9949575468143466,
      0.9813444274760921,
      0.9679521845031634,
      0.9547754528509695,
      0.941809068858281,
      0.9290480574148368,
      0.9164876207349462,
      0.9041234319006928,
      0.8919522357686029,
      0.8799707274647987,
      0.8681753855441147,
      0.8565625803394118,
      0.8451286465908243,
      0.8338699306342836,
      0.8227828224816467,
      0.8118637760176685,
      0.8011093210756106,
      0.7905160710814269,
      0.7800807266359631,
      0.7698005181361856,
      0.7596738304482947,
      0.7496988485484288,
      0.7398734009408355,
      0.7301951010868621,
      0.7206614418085334,
      0.711269649573448,
      0.7020163897254981,
      0.6928984209798383,
      0.683912757064972,
      0.6750566169964605,
      0.6663273801095398,
      0.6577225549310306,
      0.6492397563614467,
      0.6408766899324472,
      0.6326311400899677,
      0.6245009619826642,
      0.6164840747425274,
      0.6085784566126513,
      0.6007821409347943,
      0.593093212899224,
      0.5855098072418914,
      0.5780301057783199,
      0.5706523355187872,
      0.5633747664569416,
      0.5561957104130021,
      0.5491135192605859,
      0.5421265835874636,
      0.5352333314912736,
      0.5284322272898012,
      0.5217217703541098,
      0.5151004937414612,
      0.5085669633952893,
      0.5021197771050483,
      0.4957575636381734,
      0.4894789813625216,
      0.48328271760975844,
      0.47716748789378194,
      0.4711320348114455,
      0.4651751273917852,
      0.4592955604402725,
      0.4534921537289651,
      0.4477637511892544,
      0.4421092202879999,
      0.4365274511574109,
      0.4310173560924225,
      0.4255778689345415,
      0.4202079446507587,
      0.41490655860160025,
      0.4096727059329583,
      0.4045054010674955,
      0.3994036773755119,
      0.3943665863395629,
      0.3893931972582734,
      0.38448259682911656,
      0.3796338885358722,
      0.3748461924279372,
      0.3701186445292001,
      0.36545032113422204,
      0.360840083757698,
      0.3562868551201795,
      0.3517896604587017,
      0.34734760004357385,
      0.3429598299868588,
      0.33862554887232416,
      0.33434398841810054,
      0.3301144067797528,
      0.3259360839243659,
      0.32180831841205376,
      0.317730425104774,
      0.31370173327396544,
      0.30972158550901796,
      0.3057893365846287,
      0.3019043527678158,
      0.2980660114363328,
      0.29427370038503986,
      0.29052681770959315,
      0.28682477122532407,
      0.28316700285212043,
      0.27955309784405613,
      0.27598266641366914,
      0.27245550779104505,
      0.26897151464525443,
      0.26553043961239453,
      0.2621319752728442,
      0.2587758230412316,
      0.2554616271844412,
      0.25218897271899987,
      0.24895740596138125,
      0.24576644908404569,
      0.2426156251879454,
      0.2395047231661677,
      0.23643365814536782,
      0.23340221516046794,
      0.23041007882274125,
      0.2274568672377198,
      0.22454215541238037,
      0.22166547690043284,
      0.21882628832813622,
      0.21602403930521397,
      0.21325820117266314,
      0.21052826247142617,
      0.20783380026674994,
      0.20517448492493495,
      0.20254995445586885,
      0.19995981511335745,
      0.19740365345940428,
      0.19488104500898348,
      0.19239155966630886,
      0.18993476565353506,
      0.1875102320865338,
      0.18511753062831715,
      0.18275623665922294,
      0.18042593004435822,
      0.17812619557913986,
      0.17585662317758985,
      0.17361680817399552,
      0.17140635136990573,
      0.1692248591648615,
      0.16707194329384092,
      0.16494722090264127,
      0.16285031456101917,
      0.16078085216921104,
      0.15873846694239033,
      0.1567227971930328,
      0.15473348634383463,
      0.15277018288442235,
      0.1508325402215039,
      0.1489202165428408,
      0.14703287487274835,
      0.1451701829763768,
      0.14333181328381184,
      0.1415174426943189,
      0.13972675267997967,
      0.1379594291228596,
      0.13621516229922684,
      0.13449364672392708,
      0.13279458116072992,
      0.13111766844797132,
      0.12946261566780243,
      0.12782913387052802,
      0.12621693811010176,
      0.12462574731428688,
      0.12305528428783209,
      0.12150527558150552,
      0.11997545148763399,
      0.1184655459775314,
      0.1169752945848366,
      0.11550441125093071,
      0.11405260486124653,
      0.11261960030935776,
      0.11120513435473067,
      0.10980895283698065,
      0.10843080892859146,
      0.1070704617194628,
      0.10572767524874724,
      0.10440221803138162,
      0.10309386267677381,
      0.1018023851909479,
      0.10052756501565167,
      0.09926918486934415,
      0.09802703049804853,
      0.09680089069707581,
      0.09559055722918847,
      0.09439582460025339,
      0.09321649005425363,
      0.09205235353986418,
      0.090903217762739,
      0.08976888803732577,
      0.08864917227537857,
      0.0875438808626865,
      0.08645282670343825,
      0.08537582522266657,
      0.08431269437779107,
      0.08326325439262984,
      0.08222732786249091,
      0.08120473979096669,
      0.0801953174257626,
      0.07919889036975149,
      0.07821529037255615,
      0.07724435140713146,
      0.07628590977302219,
      0.0753398037438318,
      0.07440587379784759,
      0.0734839624777059,
      0.07257391449965098,
      0.07167557636794326,
      0.07078879682328401,
      0.06991342643978918,
      0.0690493178275635,
      0.06819632548601469,
      0.06735430584873081,
      0.06652311728156257,
      0.06570261984904559,
      0.0648926755866591,
      0.06409314832237532,
      0.06330390353342319,
      0.06252480854953492,
      0.061755732381440435,
      0.06099654583234722,
      0.060247121320217506,
      0.05950732100157408,
      0.05877696826943823,
      0.0580558953786249,
      0.05734395168516678,
      0.05664099883925117,
      0.05594690750134347,
      0.055261554882063614,
      0.05458482326780709,
      0.05391659880777488,
      0.05325677071663615,
      0.05260523065410491,
      0.051961872588277426,
      0.051326592399909034,
      0.05069928752327987,
      0.05007985707934542,
      0.04946820163031137,
      0.04886422305770214,
      0.04826782463288933,
      0.047678910851286165,
      0.04709738751920133,
      0.04652316164211173,
      0.04595614145442872,
      0.045396236320399415,
      0.044843356731221445,
      0.04429741433856973,
      0.043758321986183235,
      0.043225979524094585,
      0.0427002630086595,
      0.0421810574723442,
      0.04166825953632646,
      0.041161774262908304,
      0.04066151282658262,
      0.04016739089902899,
      0.03967932765891481,
      0.03919724492963823,
      0.03872106676361766,
      0.03825071883420183,
      0.037786128419683304,
      0.037327224043070345,
      0.03687393541607315,
      0.03642619330475172,
      0.035983929418431385,
      0.03554707664886102,
      0.03511557111395592,
      0.034689350684102234,
      0.03426835304471317,
      0.033852515770937286,
      0.03344177674242095,
      0.03303607420907922,
      0.03263534695060791,
      0.032239534333257935,
      0.0318485762222547,
      0.03146241322707795,
      0.031080986561632273,
      0.030704238221624398,
      0.030332110827720023,
      0.029964547703334916,
      0.029601492885413316,
      0.029242891026307463,
      0.028888687476328143,
      0.028538828264138238,
      0.028193260127274706,
      0.02785193030687992,
      0.027514786824983734,
      0.027181778309635942,
      0.026852854010281747,
      0.026527963783552242,
      0.026207058129143986,
      0.02589008819028765,
      0.02557700561333563,
      0.025267762686106875,
      0.024962312354703402,
      0.024660602253077264,
      0.024362565601889003,
      0.024068139485919605,
      0.023777267288659188,
      0.02348989702068712,
      0.023205980117573285,
      0.02292547060729192,
      0.022648324351334514,
      0.022374498681122238,
      0.02210395221819844,
      0.021836644540402565,
      0.02157253611274022,
      0.021311588043271008,
      0.02105376209630613,
      0.02079902065388818,
      0.020547326598578015,
      0.020298643282533498,
      0.020052934617782795,
      0.019810164877380246,
      0.019570298950043297,
      0.01933330213229522,
      0.019099139935452144,
      0.018867778370267138,
      0.01863918395348036,
      0.018413323652999983,
      0.018190164669428424,
      0.017969674663673624,
      0.017751821732048777,
      0.017536574255645365,
      0.01732390117072936,
      0.01711377166890172,
      0.016906155254466128,
      0.016701021866631756,
      0.016498341748769373,
      0.016298085630855403,
      0.016100224506484823,
      0.01590472969087251,
      0.0157115729120342,
      0.015520726225187327,
      0.015332161986041067,
      0.015145852920383354,
      0.014961772004431342,
      0.01477989257518811,
      0.01460018830205646,
      0.014422633179093381,
      0.014247201550263862,
      0.014073867964157827,
      0.01390260734785379,
      0.013733394838428264,
      0.013566205940041055,
      0.01340101649768599,
      0.0132378025517004,
      0.013076540459888425,
      0.012917206906604778,
      0.012759778830455495,
      0.012604233422803306,
      0.01245054819734225,
      0.012298700933678746,
      0.01214866968558436,
      0.012000432644042602,
      0.011853968356937045,
      0.011709255625826635,
      0.011566273486426908,
      0.011425001215489507,
      0.011285418338336867,
      0.011147504714066244,
      0.011011240399205285,
      0.010876605633133151,
      0.010743580970433202,
      0.010612147140969967,
      0.010482285076821647,
      0.01035397597119989,
      0.01022720127835509,
      0.010101942623455559,
      0.009978181921339173,
      0.009855901299129409,
      0.00973508307060229,
      0.009615709698685597,
      0.00949776374560216,
      0.009381228186220286,
      0.009266086220257217,
      0.009152321193684492,
      0.009039916609691041,
      0.00892885626121506,
      0.008819124027312553,
      0.00871070403899158
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785745963493742,
      10.56797226913525,
      10.340737928651961,
      10.10695729343616,
      9.869216361430189,
      9.629695183712519,
      9.390318799908298,
      9.152730015973262,
      8.918317550719816,
      8.688219321389797,
      8.463306817655601,
      8.2441872733243,
      8.03121666207883,
      7.824522638194063,
      7.624036087366811,
      7.429528164093673,
      7.2406458945570975,
      7.056947578969042,
      6.877935983309319,
      6.703087500884986,
      6.531874926519058,
      6.363788405900799,
      6.198352954501922,
      6.035139239607162,
      5.873778056238006,
      5.713973948084884,
      5.555503415149611,
      5.398211677667028,
      5.24201464461403,
      5.086902757809162,
      4.932942750321776,
      4.780259256520147,
      4.629024588239251,
      4.479473108401469,
      4.331895045068811,
      4.186625155125467,
      4.044030674777206,
      3.9045066442583405,
      3.7684696403517655,
      3.6363234833843863,
      3.508441610311561,
      3.385157999742286,
      3.266760582233028,
      3.153485895203099,
      3.045515957763393,
      2.942977787034234,
      2.8459457678668953,
      2.75443279454284,
      2.668403530731314,
      2.5877715822356837,
      2.512395030462969,
      2.4420684844509455,
      2.376543418772046,
      2.315544131176099,
      2.2587735508515046,
      2.2059083377258744,
      2.156586065040728,
      2.11040755285297,
      2.0669952492320927,
      2.0260049810645206,
      1.9870965204458089,
      1.9499713536567533,
      1.914395597800167,
      1.8801867531562846,
      1.8471988957242238,
      1.81531261195029,
      1.7844248040385409,
      1.754449178453158,
      1.7253163164523917,
      1.696969259401351,
      1.6693584074247092,
      1.642439218488187,
      1.6161738117493434,
      1.5905296132151394,
      1.565478055750114,
      1.5409936500470205,
      1.5170533197264398,
      1.493635920480561,
      1.4707218893480056,
      1.4482929863783112,
      1.426332103688234,
      1.4048231196882068,
      1.38375078603656,
      1.3631009994599155,
      1.3428609897814845,
      1.3230184310619568,
      1.303561330555531,
      1.2844780721438063,
      1.2657575791252593,
      1.24738969788871,
      1.2293646181000377,
      1.211672726539747,
      1.1943046599992864,
      1.1772513367563169,
      1.160503972628063,
      1.1440540871771938,
      1.1278936834436943,
      1.112015860720326,
      1.0964143312159371,
      1.0810828314910608,
      1.0660149922675786,
      1.0512044465015895,
      1.0366449005143248,
      1.0223301653596226,
      1.0082540138708347,
      0.9944103237942313,
      0.9807932468279081,
      0.9673971799140252,
      0.9542167432788867,
      0.9412467628934327,
      0.9284822556443347,
      0.9159184179966425,
      0.9035510913929762,
      0.8913770352031107,
      0.8793928792924842,
      0.8675950570954353,
      0.8559799077640414,
      0.8445437438956996,
      0.8332828965857758,
      0.8221937449789696,
      0.8112727350155381,
      0.800516391181153,
      0.7899213227115416,
      0.7794842269590342,
      0.7692025990172716,
      0.7590748469474061,
      0.7490990550527381,
      0.7392729836699935,
      0.729594199500594,
      0.7200601635754574,
      0.7106681123381521,
      0.7014147014634199,
      0.6922966680126139,
      0.6833110100908948,
      0.6744549357974317,
      0.6657258170494587,
      0.6571211568493102,
      0.6486385661127876,
      0.6402757477558535,
      0.6320304843528425,
      0.623900629430286,
      0.6158841008630814,
      0.6079788757130471,
      0.6001829866899576,
      0.5924945185630179,
      0.5849116053422811,
      0.5774324284151088,
      0.5700552139418786,
      0.5627782315274444,
      0.5555997923449131,
      0.5485182477626432,
      0.5415319879977438,
      0.5346394408040345,
      0.5278390699980494,
      0.5211293742351086,
      0.5145088863215133,
      0.5079761716714115,
      0.501529827616393,
      0.49516848232789384,
      0.48889079371306,
      0.4826954486958924,
      0.47658116227729896,
      0.4705466766844343,
      0.4645907606128003,
      0.45871220833608534,
      0.4529098390689692,
      0.447182496357461,
      0.4415290470426251,
      0.43594838099565825,
      0.430439410177683,
      0.425001068044565,
      0.41963230917197364,
      0.41433210826395295,
      0.40909946004790104,
      0.40393337860897843,
      0.398832896877973,
      0.3937970659188419,
      0.38882495460214217,
      0.38391564923422083,
      0.37906825294050883,
      0.37428188531313533,
      0.3695556819939753,
      0.36488868533160657,
      0.3602797529409879,
      0.3557278194125933,
      0.35123191802886156,
      0.34679115452875475,
      0.34240468877309416,
      0.3380717218309914,
      0.33379148699264616,
      0.3295632434066736,
      0.3253862717227415,
      0.32125987079725604,
      0.3171833554647635,
      0.3131560549488567,
      0.3091773114886481,
      0.305246479571671,
      0.30136292531439757,
      0.29752602570923314,
      0.2937351684493199,
      0.2899897511740598,
      0.28628918138085224,
      0.282632920847488,
      0.2790205805957138,
      0.27545177380313257,
      0.2719263157209895,
      0.2684440771756595,
      0.26500479767657714,
      0.26160817550431953,
      0.25825390770376316,
      0.2549416264788758,
      0.25167090809696835,
      0.2484412928059698,
      0.24525229855216754,
      0.24210351825999868,
      0.238994848593273,
      0.2359261513655485,
      0.23289716617178244,
      0.2299075462389806,
      0.22695688810093526,
      0.2240447517802775,
      0.22117065527951252,
      0.2183340412405255,
      0.2155343585623617,
      0.21277107791069655,
      0.21004372013040334,
      0.20735193726391773,
      0.20469537509607078,
      0.20207364290183166,
      0.19948632721328152,
      0.19693300118684398,
      0.1944132312240848,
      0.19192658104901278,
      0.18947261461978915,
      0.1870508981403433,
      0.18466100134523145,
      0.1823024983558655,
      0.17997496809912122,
      0.17767799465911263,
      0.175411167576182,
      0.1731740819808846,
      0.17096633847413162,
      0.16878754330064952,
      0.16663730807854288,
      0.16451525000088466,
      0.16242099165090124,
      0.160354160856969,
      0.1583143908540424,
      0.15630131991301552,
      0.1543145914797112,
      0.15235385402298646,
      0.15041876094156473,
      0.14850897054799161,
      0.14662414585696823,
      0.14476395458431368,
      0.14292806919764317,
      0.14111616677110667,
      0.13932792875831315,
      0.13756304103254996,
      0.13582119388938368,
      0.13410208191628975,
      0.13240540390723365,
      0.13073086285348173,
      0.12907816576943043,
      0.1274470236898638,
      0.12583715169858617,
      0.12424826879823053,
      0.12268009782430385,
      0.12113236533952651,
      0.11960480167338981,
      0.11809714092323978,
      0.11660912074471914,
      0.11514047430202845,
      0.11369091084007105,
      0.1122601482316146,
      0.11084791842099247,
      0.10945396398949048,
      0.10807803586726,
      0.10671989169898857,
      0.105379294545345,
      0.10405601234212769,
      0.10274981705182869,
      0.10146048451031081,
      0.10018779403864193,
      0.09893152822000646,
      0.09769147275130464,
      0.09646741642026778,
      0.09525915095954988,
      0.09406647085382845,
      0.09288917351938153,
      0.09172705890804991,
      0.09057992981409566,
      0.08944759155444618,
      0.08832985197618698,
      0.08722652165061358,
      0.08613741361953298,
      0.08506234332162879,
      0.08400112880740555,
      0.08295359034314713,
      0.08191955067495235,
      0.08089883480524683,
      0.07989127002240676,
      0.07889668601508476,
      0.07791491465769626,
      0.07694579004278855,
      0.07598914838415523,
      0.07504482812536063,
      0.07411266975712422,
      0.0731925159220115,
      0.07228421131071365,
      0.07138760266146046,
      0.07050253868705596,
      0.06962887011763638,
      0.06876644954388808,
      0.06791513170291903,
      0.06707477307858632,
      0.06624523203027631,
      0.06542636876588923,
      0.06461804530594072,
      0.06382012552140426,
      0.063032475079692,
      0.062254961327098686,
      0.0614874534323995,
      0.06072982217113173,
      0.0599819400341142,
      0.059243680512405764,
      0.05851488340843267,
      0.05779537226992073,
      0.05708499059870444,
      0.05638359594546383,
      0.055691056161473525,
      0.05500724660618347,
      0.05433204815361491,
      0.053665346072455426,
      0.05300702901204225,
      0.05235698841480153,
      0.051715117968125716,
      0.05108131335740849,
      0.05045547195046717,
      0.049837492806268965,
      0.04922727645485828,
      0.04862472483867077,
      0.048029741319820074,
      0.04744223049857291,
      0.04686209816713843,
      0.046289251464993623,
      0.04572359868323323,
      0.045165049270569795,
      0.044613513789583566,
      0.04406890397592617,
      0.04353113274787288,
      0.04300011412808313,
      0.04247574624137982,
      0.041957906535324954,
      0.04144648274756196,
      0.040941373720122395,
      0.04044248630813647,
      0.039949733207312106,
      0.039463031548139564,
      0.038982301844666986,
      0.03850746714059807,
      0.03803845252173627,
      0.03757518482066259,
      0.03711759230910675,
      0.03666560452939778,
      0.03621915213420157,
      0.03577816684165719,
      0.035342581493232605,
      0.03491233216719284,
      0.03448735687027923,
      0.0340675933365815,
      0.03365297926176968,
      0.033243452492148946,
      0.03283895135455192,
      0.032439414676049855,
      0.03204478186312254,
      0.03165499304334096,
      0.031269988933105564,
      0.030889710835090622,
      0.03051410068851619,
      0.030143101214443656,
      0.02977665580315608,
      0.02941470854719386,
      0.029057204232675632,
      0.028704088419243462,
      0.028355307166582192,
      0.028010807119250764,
      0.027670535692471666,
      0.02733444099676961,
      0.0270024716984415,
      0.026674577130547533,
      0.026350707291713932,
      0.02603081272055103,
      0.025714844629623826,
      0.0254027546794262,
      0.025094495352304323,
      0.0247900194800021,
      0.024489280580768342,
      0.024192232855288445,
      0.023898822957003466,
      0.023608985505216697,
      0.023322660043987174,
      0.023039792119398248,
      0.022760331597321833,
      0.022484231436592693,
      0.022211446989757726,
      0.02194193552279086,
      0.021675655653422936,
      0.021412567131861904,
      0.021152630600449397,
      0.020895807563566644,
      0.020642060219259746,
      0.020391351368319648,
      0.020143644359338624,
      0.01989890300229711,
      0.019657091662033374,
      0.019418175214161133,
      0.019182118856370292,
      0.018948888366515704,
      0.018718449860354643,
      0.018490769894050237,
      0.018265815409489343,
      0.01804355372544543,
      0.017823952530527525,
      0.017606979959886554,
      0.017392604565792554,
      0.017180795302470925,
      0.0169715214044436,
      0.01676475245665986,
      0.01656045848518458,
      0.01635860987789054,
      0.01615917738278665,
      0.015962132063337044,
      0.015767445337631907,
      0.015575088974438423,
      0.015385035052518148,
      0.015197255984684941,
      0.015011724555889646,
      0.014828413822880682,
      0.014647297218450688,
      0.01446834857453467,
      0.014291541898433345,
      0.014116851538424338,
      0.013944252133855556,
      0.013773718661951238,
      0.013605226346016623,
      0.013438750742882517,
      0.013274267716665905,
      0.013111753382606122,
      0.012951184172200127,
      0.012792536899863236,
      0.012635788557421005,
      0.012480916395648835,
      0.012327897892207835,
      0.012176710943290285,
      0.012027333535008412,
      0.01187974405789034,
      0.011733921107579783,
      0.011589843515360163,
      0.01144749034143387,
      0.011306841047260858,
      0.011167875179466307,
      0.011030572537800057,
      0.010894913254884685,
      0.01076087769916827,
      0.010628446455153472,
      0.01049760019625488,
      0.010368320016193923,
      0.010240587182924303,
      0.010114383141549067,
      0.009989689657776753,
      0.009866488555496593,
      0.009744762001815923,
      0.009624492303300024,
      0.009505662065651673,
      0.00938825410630469,
      0.009272251450684487,
      0.009157637170157298,
      0.009044394658990384,
      0.008932507556654664,
      0.008821959600741076,
      0.008712734754065879,
      0.00860481717989653
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785741416679778,
      10.567950586798414,
      10.340689314115975,
      10.106875207501632,
      9.869097565697567,
      9.62953819866712,
      9.390123435843213,
      9.152497210777387,
      8.918048704983788,
      8.687916139790483,
      8.462971152877476,
      8.243820879535482,
      8.030821086110828,
      7.82409915319825,
      7.623585666605175,
      7.429051485315013,
      7.240143358242244,
      7.05641935443076,
      6.87738206831775,
      6.702507646946029,
      6.531268600266368,
      6.363155165292673,
      6.197692593632327,
      6.034451795774667,
      5.8730638920654865,
      5.713233863003503,
      5.55473858350791,
      5.397423704979992,
      5.2412056102168165,
      5.08607514774728,
      4.932099592069652,
      4.779404146916056,
      4.628161432110501,
      4.478606112954961,
      4.331028656627954,
      4.185763980818227,
      4.043179428601806,
      3.903670386890545,
      3.767653608582568,
      3.6355325507723926,
      3.507680173526891,
      3.3844298901571768,
      3.2660690015996856,
      3.152833439550123,
      3.0449046046283996,
      2.942408902425814,
      2.8454198806992177,
      2.753949789558296,
      2.667962378381389,
      2.5873704742546355,
      2.5120313492432853,
      2.441738695113872,
      2.376243625108489,
      2.3152703464084237,
      2.258521562414325,
      2.205673838137375,
      2.15636445003875,
      2.110194185228413,
      2.0667860899358343,
      2.02579632163717,
      1.9868851601452011,
      1.9497548601370491,
      1.914172202440464,
      1.8799552008382883,
      1.846958301493079,
      1.8150623387858922,
      1.7841643819690765,
      1.7541783452052102,
      1.7250349592318945,
      1.6966773723105495,
      1.6690561027580475,
      1.6421266661757388,
      1.6158512028793799,
      1.5901971517387374,
      1.5651359527409923,
      1.5406421200613,
      1.5166925776846263,
      1.4932661794755628,
      1.4703433590185941,
      1.4479058726566716,
      1.4259366077794462,
      1.4044194379544697,
      1.3833391093053162,
      1.36268153179152,
      1.3424339333980366,
      1.3225839767458665,
      1.3031196598109407,
      1.284029358399317,
      1.2653020222571567,
      1.246927516872776,
      1.2288960074217659,
      1.211197862539977,
      1.1938237055181522,
      1.1767644439738372,
      1.16001128532075,
      1.1435557426434337,
      1.1273898284402497,
      1.1115066652161407,
      1.095899958462064,
      1.0805634293810789,
      1.0654906969622089,
      1.0506753853972088,
      1.0361111939969012,
      1.0217919425531163,
      1.007711483122696,
      0.9938636842428531,
      0.9802426635396354,
      0.966842793707585,
      0.9536586778193019,
      0.9406851291674826,
      0.9279171561137458,
      0.9153499487053303,
      0.902979515878454,
      0.8908026314162115,
      0.8788158595209621,
      0.867015588361399,
      0.855398125459477,
      0.843959761583519,
      0.832696812648362,
      0.8216056469414655,
      0.8106827026215837,
      0.7999244984818074,
      0.7893276396804695,
      0.7788888203327782,
      0.7686057995787804,
      0.7584770086331368,
      0.7485004317708871,
      0.738673761093381,
      0.7289945167027542,
      0.7194601276174951,
      0.7100678298554025,
      0.7008142832420955,
      0.6916962022752655,
      0.6827105685354123,
      0.6738545788924473,
      0.6651255972045251,
      0.6565211208169531,
      0.6480387570373723,
      0.6396762057292202,
      0.6314312474636936,
      0.6233017342158407,
      0.615285582622993,
      0.6073807689151769,
      0.5995853249350857,
      0.5918973345666446,
      0.5843149312129404,
      0.5768362955180802,
      0.569459653213264,
      0.562183273399449,
      0.555005466969531,
      0.5479245847458549,
      0.5409390162791929,
      0.5340471888863486,
      0.5272475658126295,
      0.5205386454850661,
      0.5139189602083607,
      0.5073870749462803,
      0.5009415864466757,
      0.49458112253938075,
      0.4883043406700253,
      0.4821099274298516,
      0.47599659730490834,
      0.4699630919723387,
      0.46400817956149987,
      0.45813065406364606,
      0.4523293342569731,
      0.44660306316792037,
      0.44095070733475533,
      0.4353711561051331,
      0.4298633208178181,
      0.42442613463442747,
      0.4190585515742282,
      0.4137595460267042,
      0.4085281124128795,
      0.40336326438784587,
      0.39826403445177283,
      0.3932294731813233,
      0.3882586490511588,
      0.38335064800762414,
      0.3785045726954092,
      0.3737195422530728,
      0.3689946920695181,
      0.36432903067586825,
      0.3597214117882359,
      0.3551707817912141,
      0.3506761820124658,
      0.3462367237605144,
      0.3418515705929055,
      0.3375199259223854,
      0.33324102467230154,
      0.3290141269174137,
      0.324838513744006,
      0.32071348437490854,
      0.31663835368581444,
      0.3126124508686222,
      0.3086351181321089,
      0.30470570988225293,
      0.3008235919094584,
      0.29698814091256104,
      0.2931987440661854,
      0.2894547987842784,
      0.2857557121965747,
      0.2821009822179896,
      0.27849022361605297,
      0.2749230543719783,
      0.2713993065584381,
      0.26791882994728944,
      0.26448135350790997,
      0.2610865817585162,
      0.25773420479730086,
      0.25442384301924265,
      0.2511550645711007,
      0.24792740399011393,
      0.2447403749954202,
      0.24159370442616215,
      0.23848731550560318,
      0.23542101783770933,
      0.23239451071094916,
      0.22940741959331218,
      0.2264593218462789,
      0.22354976426329393,
      0.22067824597111976,
      0.21784420229293883,
      0.2150470813466252,
      0.2122863624231675,
      0.20956165032532956,
      0.20687259989671644,
      0.2042188240332025,
      0.2015999095174929,
      0.19901542760699917,
      0.19646494109022464,
      0.19394800916199229,
      0.1914641906963846,
      0.18901304642629077,
      0.18659414035630925,
      0.18420704063136978,
      0.18185132027112844,
      0.17952655753255756,
      0.17723233614370443,
      0.17496824529504895,
      0.17273387986042382,
      0.17052884031313673,
      0.16835273275203488,
      0.16620516882062158,
      0.16408576563409213,
      0.16199414582272154,
      0.15992993725895463,
      0.1578927730020226,
      0.15588229140307355,
      0.1538981359256473,
      0.15193995504403784,
      0.1500074021622332,
      0.14810013564832444,
      0.1462178185014607,
      0.1443601186110617,
      0.14252670843216653,
      0.14071726504958487,
      0.1389314699248176,
      0.13716900905045315,
      0.13542957265358993,
      0.13371285528757026,
      0.13201855586023475,
      0.13034637742132543,
      0.12869602701983057,
      0.1270672157072533,
      0.12545965857872643,
      0.12387307471892649,
      0.12230718696321614,
      0.12076172200146205,
      0.1192364101952625,
      0.11773098563600055,
      0.1162451859921756,
      0.11477875252742159,
      0.11333141115361692,
      0.11190287387499395,
      0.11049286651853335,
      0.10910112756794305,
      0.10772740512150876,
      0.10637145480112739,
      0.10503303842693143,
      0.10371192296831012,
      0.10240787994654246,
      0.10112068475103905,
      0.09985011640854,
      0.09859595744766696,
      0.09735799354647243,
      0.09613601340758741,
      0.09492980870705557,
      0.09373917406666679,
      0.0925639068073372,
      0.09140380699811256,
      0.09025867743230913,
      0.08912832347312043,
      0.08801255312457251,
      0.08691117699094254,
      0.08582400815626656,
      0.08475086217456483,
      0.08369155701146384,
      0.08264591311220419,
      0.0816137532174782,
      0.08059490249303486,
      0.07958918839122239,
      0.0785964406035439,
      0.07761649110066059,
      0.0766491739356716,
      0.0756943254718915,
      0.07475178417654604,
      0.0738213906322469,
      0.07290298760388841,
      0.07199641980800943,
      0.07110153405529168,
      0.07021817916514538,
      0.06934620599287943,
      0.0684854672605748,
      0.06763581759840585,
      0.06679711362818866,
      0.06596921380597243,
      0.06515197841785605,
      0.06434526955387045,
      0.06354895112679573,
      0.06276288885639014,
      0.06198695023814317,
      0.061221004461202516,
      0.06046492245051082,
      0.05971857675950514,
      0.05898184163412118,
      0.05825457840852004,
      0.05753661256818981,
      0.056827779963784644,
      0.056127933055291845,
      0.05543693607482533,
      0.05475466196920552,
      0.054080989992828954,
      0.053415804241015136,
      0.05275899264740366,
      0.052110446081906875,
      0.051470057914611574,
      0.05083772367885945,
      0.05021334064334115,
      0.049596807839643785,
      0.04898802582612573,
      0.048386896565806414,
      0.04779332343980862,
      0.0472072110629147,
      0.04662846532308517,
      0.04605699333693219,
      0.04549270354012109,
      0.04493550541388156,
      0.04438530965486635,
      0.04384202797357498,
      0.04330557339020383,
      0.04277586000419341,
      0.04225280292692033,
      0.04173629935629159,
      0.04122622822728585,
      0.040722479711755785,
      0.04022495457011813,
      0.03973356139520257,
      0.039248214423872205,
      0.038768832143794806,
      0.03829533624093126,
      0.03782765091560348,
      0.03736570239308409,
      0.0369094185116354,
      0.03645872854286452,
      0.03601356290933063,
      0.0355738533552182,
      0.035139532667057174,
      0.034710536895212626,
      0.034286804067631474,
      0.03386827195691516,
      0.03345487829249318,
      0.03304656104210681,
      0.03264325857978822,
      0.032244909906296255,
      0.03185145452839041,
      0.031462832508797854,
      0.031078984610432958,
      0.030699852268420272,
      0.03032537759332442,
      0.029955503386567047,
      0.029590173136247146,
      0.029229331012513692,
      0.028872921725491323,
      0.028520890888023252,
      0.028173184697858303,
      0.02782974998491706,
      0.027490534244992874,
      0.02715548561566403,
      0.026824552857801925,
      0.02649768537136468,
      0.026174833178629998,
      0.025855946925936395,
      0.025540977906691995,
      0.025229877924770727,
      0.02492259943671681,
      0.024619095524590264,
      0.024319319718608512,
      0.0240232262098135,
      0.023730769778532185,
      0.023441905751079885,
      0.02315658041296975,
      0.022874730006687966,
      0.02259629617586314,
      0.02232122634542799,
      0.022049472001878716,
      0.021780987568374967,
      0.0215157297301552,
      0.02125365694055485,
      0.02099472908008758,
      0.02073890694303224,
      0.020486152223973365,
      0.02023642740573126,
      0.01998969571434268,
      0.019745920904765086,
      0.019505067316220964,
      0.019267099770539284,
      0.01903198351702223,
      0.018799684248944362,
      0.018570168204337982,
      0.018343402001940227,
      0.018119352669365815,
      0.017897987622099824,
      0.017679274669195798,
      0.017463181950692158,
      0.01724967811820346,
      0.01703873206560201,
      0.016830313112430707,
      0.01662439101071797,
      0.01642093587747978,
      0.01621991810283266,
      0.01602130853932534,
      0.015825078323941554,
      0.015631198993992675,
      0.015439642280050975,
      0.015250380421336526,
      0.015063385910531637,
      0.014878631513016414,
      0.014696090471842727,
      0.014515736243794108,
      0.01433754254162087,
      0.014161483491625493,
      0.013987533570381159,
      0.0138156674983003,
      0.013645860229424512,
      0.013478087184239419,
      0.013312323936649701,
      0.013148546391798892,
      0.012986730818897974,
      0.01282685370076008,
      0.012668891864302274,
      0.012512822332218296,
      0.012358622417399644,
      0.012206269653004581,
      0.012055741965126288,
      0.011907017522631127,
      0.011760074632304968,
      0.011614891997394617,
      0.011471448595792685,
      0.011329723489348055,
      0.01118969609815999,
      0.01105134613232978,
      0.010914653531425398,
      0.01077959842416617,
      0.01064616113927193,
      0.01051432233199002,
      0.010384062825434193,
      0.010255363668863648,
      0.010128206158811572,
      0.010002571861093462,
      0.009878442525761024,
      0.00975580007270588,
      0.009634626647945895,
      0.00951490476337898,
      0.00939661709469494,
      0.009279746457994177,
      0.009164275844002137,
      0.009050188421264455,
      0.008937467629129798,
      0.008826097151066649,
      0.008716060735937763,
      0.008607342420668535,
      0.008499926410148306
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785736881665944,
      10.56792895388431,
      10.340640791272389,
      10.106793257271512,
      9.868978939137051,
      9.629381397750894,
      9.389928255026412,
      9.15226457520141,
      8.917780002846728,
      8.687613063518032,
      8.462635543820399,
      8.24345448124783,
      8.030425439824247,
      7.82367552687239,
      7.623135029214251,
      7.428574512717077,
      7.239640449447982,
      7.0558906773527825,
      6.876827620216398,
      6.701927179135865,
      6.530661576443696,
      6.362521142093092,
      6.1970313526812735,
      6.033763372361642,
      5.872348648304383,
      5.712492598661069,
      5.553972471941672,
      5.396634350467416,
      5.240395089954083,
      5.085245945239581,
      4.931254732737152,
      4.778547222467365,
      4.6272963423430165,
      4.4777370608026414,
      4.330160085631786,
      4.184900496402195,
      4.0423257439035245,
      3.9028315701409126,
      3.7668349047057053,
      3.634738835415411,
      3.50691584579032,
      3.3836987839635384,
      3.265374323180242,
      3.1521777890816045,
      3.0442899649704094,
      2.941836645760614,
      2.844890542800229,
      2.7534632620960937,
      2.6675176427718443,
      2.5869657353526376,
      2.511664003554054,
      2.4414052273560065,
      2.3759401593416296,
      2.3149929149465542,
      2.2582659705330306,
      2.2054357942869602,
      2.156139362467323,
      2.1099774265498374,
      2.0665736287929324,
      2.0255844565008347,
      1.986670694134956,
      1.9495353635873895,
      1.913945908071249,
      1.8797208539726913,
      1.8467150177439637,
      1.8148094801303987,
      1.783901475513795,
      1.7539051265136805,
      1.7247513132718286,
      1.6963832908998753,
      1.6687516957359725,
      1.6418121012795053,
      1.6155266686815286,
      1.5898628495280664,
      1.5647920914151268,
      1.5402889117954397,
      1.5163302352911217,
      1.4928949136711354,
      1.469963377680033,
      1.4475173799236225,
      1.4255398032022903,
      1.4040145154777224,
      1.3829262582678274,
      1.3622609554528484,
      1.342005832354168,
      1.3221485401025646,
      1.3026770672540535,
      1.2835797818652814,
      1.2648456757793771,
      1.2464646131384782,
      1.2284267363701395,
      1.2107223968467609,
      1.193342205041302,
      1.1762770586498958,
      1.1595181573248718,
      1.1430570075063375,
      1.1268856312946014,
      1.1109971746053968,
      1.0953853369240112,
      1.0800438237954402,
      1.0649662426377178,
      1.0501462089420974,
      1.0355774149750712,
      1.021253675147147,
      1.007168911110362,
      0.9933170186746217,
      0.9796920766843471,
      0.9662884311875707,
      0.9531006662769818,
      0.9401235822257801,
      0.9273521776734835,
      0.9147816353136987,
      0.9024081311024614,
      0.8902284526640695,
      0.8782390986806097,
      0.8664364118435416,
      0.8548166682414967,
      0.8433761366054152,
      0.8321111172076481,
      0.8210179677789513,
      0.8100931188951841,
      0.7993330838558494,
      0.7887344635348121,
      0.7782940638070956,
      0.7680098495500428,
      0.7578801597721787,
      0.7479028974893837,
      0.7380756993268784,
      0.7283960476048404,
      0.7188613454747359,
      0.7094688276150706,
      0.7002151674341075,
      0.6910970579885092,
      0.6821114654233746,
      0.6732555758520328,
      0.6645267455415667,
      0.6559224667215283,
      0.6474403428670228,
      0.6390780710711756,
      0.6308334299536394,
      0.6227042700133748,
      0.6146885066985007,
      0.6067841152254515,
      0.5989891266151404,
      0.5913016242400169,
      0.5837197410154806,
      0.5762416568343244,
      0.5688655969135382,
      0.5615898297648891,
      0.5544126656097828,
      0.5473324548906057,
      0.5403475869110435,
      0.5334564883839922,
      0.5266576221729748,
      0.5199494861568406,
      0.5133306121739064,
      0.5067995648221715,
      0.500354940248166,
      0.4939953659214973,
      0.48771949883235804,
      0.4815260249641861,
      0.4754136585714072,
      0.4693811408086764,
      0.4634272392918662,
      0.4575507475269215,
      0.4517504839822488,
      0.4460252911634623,
      0.44037403510019685,
      0.4347956047144279,
      0.4292889111246165,
      0.4238528869891197,
      0.41848648586718923,
      0.41318868190417113,
      0.40795846895418547,
      0.4027948601850567,
      0.39769688750544646,
      0.3926636011987674,
      0.38769406933305633,
      0.38278737740681457,
      0.37794262782532023,
      0.37315893931081373,
      0.3684354466546435,
      0.3637711249621712,
      0.35916482411121703,
      0.35461550213745097,
      0.3501222085503413,
      0.34568406008437513,
      0.341300223875466,
      0.3369699058534891,
      0.33269234237880696,
      0.3284667944843686,
      0.32429254390245216,
      0.3201688900879933,
      0.31609514805193695,
      0.3120706469211823,
      0.3080947287007469,
      0.3041667474767877,
      0.30028606881707365,
      0.2964520692160408,
      0.292664135545125,
      0.28892166485149123,
      0.28522406392051053,
      0.28157086686484634,
      0.2779616920543387,
      0.2743961621165542,
      0.2708741261684524,
      0.2673954130730341,
      0.26395974154495927,
      0.26056682173584605,
      0.2572163366872146,
      0.2539078952554307,
      0.25064105741804676,
      0.247415351926169,
      0.2442303383585409,
      0.241085860364834,
      0.237981810838256,
      0.23491795080483727,
      0.2318939455462009,
      0.22890939726136594,
      0.22596386714200373,
      0.22305689097837747,
      0.2201879504030317,
      0.21735647456079488,
      0.21456191144998182,
      0.21180380669019497,
      0.2090818070841162,
      0.20639553061827007,
      0.20374456532994314,
      0.20112848111974804,
      0.19854683765321585,
      0.19599918988343784,
      0.19348509171240044,
      0.19100409823734485,
      0.18855576769875088,
      0.1861396624118355,
      0.18375534939857255,
      0.18140240098978325,
      0.17908039482788307,
      0.1767889142498258,
      0.17452754828884728,
      0.17229589170293247,
      0.17009354482635605,
      0.16792011368306337,
      0.1657752098539106,
      0.16365845042190294,
      0.1615694579635478,
      0.1595078603323809,
      0.15747329070459581,
      0.15546538743571928,
      0.15348379400769838,
      0.15152815895232633,
      0.14959813566763466,
      0.1476933824582712,
      0.14581356251327496,
      0.14395834364382765,
      0.14212739832025617,
      0.1403204036021141,
      0.1385370410500352,
      0.13677699661272152,
      0.13503996060323717,
      0.13332562766971323,
      0.13163369663269714,
      0.12996387059617617,
      0.12831585670930698,
      0.12668936608705553,
      0.12508411387015514,
      0.123499819164308,
      0.12193620483935397,
      0.1203929975183955,
      0.11886992768688348,
      0.11736672949003371,
      0.11588314059279321,
      0.11441890240740185,
      0.11297375681088237,
      0.11154742427438366,
      0.11013962267935126,
      0.10875008514092663,
      0.10737855605883095,
      0.1060247886750676,
      0.10468854296893595,
      0.10336958490657339,
      0.10206768514541853,
      0.10078261864014446,
      0.09951416408506707,
      0.09826210375821395,
      0.09702622325682411,
      0.09580631120014872,
      0.09460215924792358,
      0.09341356197034328,
      0.09224031676663527,
      0.09108222383163539,
      0.08993908593475446,
      0.08881070852626172,
      0.08769689970663075,
      0.08659747014167522,
      0.0855122329420831,
      0.08444100379996812,
      0.08338360070819455,
      0.08233984410135214,
      0.08130955686891685,
      0.08029256417666518,
      0.07928869355085286,
      0.07829777469071443,
      0.07731963968975783,
      0.0763541227281523,
      0.07540106022769856,
      0.07446029081109996,
      0.0735316551230641,
      0.07261499591636385,
      0.07171015803112117,
      0.07081698824493343,
      0.06993533557852497,
      0.06906505087819927,
      0.06820598699982919,
      0.06735799864700111,
      0.06652094251192223,
      0.06569467709289661,
      0.06487906276643852,
      0.06407396183146931,
      0.06327923817910731,
      0.062494757550209994,
      0.06172038757075238,
      0.060955997447857686,
      0.0602014581484553,
      0.05945664240035981,
      0.05872142452163073,
      0.05799567856181668,
      0.05727924480214933,
      0.056571950443691565,
      0.05587364200901764,
      0.05518417970663664,
      0.054503433695935896,
      0.05383128140845932,
      0.05316760560024652,
      0.052512293283431016,
      0.051865234792079905,
      0.051226323121314685,
      0.05059545354415466,
      0.049972523300489166,
      0.04935743131584546,
      0.048750078155710114,
      0.04815036578879265,
      0.04755819754024027,
      0.04697347812307094,
      0.046396113573114635,
      0.045826011087347046,
      0.045263078981024135,
      0.04470722681454454,
      0.04415836539139166,
      0.04361640663061557,
      0.043081263529321547,
      0.04255285016108979,
      0.04203108177403872,
      0.041515874721350564,
      0.04100712586151265,
      0.040504715632925826,
      0.040008536337546384,
      0.03951849061081093,
      0.039034488580331456,
      0.038556445918998754,
      0.03808428240309875,
      0.03761792085835723,
      0.03715728661734262,
      0.036702306954643264,
      0.03625291070448263,
      0.03580902812309645,
      0.03537059069919974,
      0.03493753111561909,
      0.03450978540642412,
      0.03408729163583326,
      0.033669987582742755,
      0.03325781108955845,
      0.03285070021382761,
      0.03244859340278208,
      0.03205142965060424,
      0.03165914843477721,
      0.031271690010872905,
      0.030888995223521534,
      0.030511005612367553,
      0.030137663345775077,
      0.029768911290500452,
      0.029404692959997057,
      0.029044952662555797,
      0.028689635340775906,
      0.028338686569362212,
      0.027992052539244073,
      0.027649680216234287,
      0.02731151719392053,
      0.026977511641291915,
      0.026647612398986397,
      0.026321768941262893,
      0.02599993145157995,
      0.02568205063752275,
      0.025368077814464467,
      0.02505796485486519,
      0.024751664279793233,
      0.024449129302063832,
      0.024150313503132695,
      0.02385517110302485,
      0.023563656984601167,
      0.02327572656132657,
      0.02299133567272702,
      0.02271044088855374,
      0.022432989036172867,
      0.022158918000847436,
      0.021888171342634183,
      0.02162069801647407,
      0.02135645090641536,
      0.021095385782580713,
      0.0208374605521703,
      0.020582634756026272,
      0.020330869238291697,
      0.020082125966164172,
      0.01983636768341563,
      0.01959355788554038,
      0.019353660701985673,
      0.01911664090205308,
      0.018882463731237514,
      0.0186510948387485,
      0.018422500486298215,
      0.01819664734590399,
      0.017973502515566033,
      0.01775303338391377,
      0.017535207826765615,
      0.017319994144987572,
      0.017107360984511783,
      0.016897277417081476,
      0.016689712761667766,
      0.016484636909614454,
      0.01628201999648512,
      0.016081832488675684,
      0.01588404523284864,
      0.015688629456270847,
      0.01549555667295473,
      0.01530479878191933,
      0.015116328026921323,
      0.014930117021221318,
      0.014746138716569495,
      0.014564366239724826,
      0.014384773156097654,
      0.014207333327928388,
      0.014032020951680178,
      0.013858810526755942,
      0.013687676908281647,
      0.013518595125597799,
      0.013351540577092619,
      0.013186488920878434,
      0.013023416068338976,
      0.012862298344127459,
      0.012703112367947958,
      0.012545834911769947,
      0.012390443152210115,
      0.012236914466680198,
      0.012085226516246151,
      0.011935357183395374,
      0.01178728466348342,
      0.011640987468118228,
      0.01149644424552744,
      0.011353633995834486,
      0.011212535937609161,
      0.011073129521807687,
      0.010935394491084148,
      0.010799310819479732,
      0.010664858697344591,
      0.010532018517279737,
      0.010400770937075778,
      0.010271096931048274,
      0.010142977632751689,
      0.010016394324509632,
      0.009891328586714704,
      0.00976776233351702,
      0.009645677506625858,
      0.009525056417797892,
      0.00940588145684618,
      0.009288135251630827,
      0.00917180073332414,
      0.009056860948579321,
      0.008943299139271882,
      0.008831098861429883,
      0.00872024371054124,
      0.008610717581659266,
      0.008502504542626844,
      0.008395588841479971
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785733520154713,
      10.567910691849951,
      10.340597490467852,
      10.10671804981121,
      9.86886829592528,
      9.629233576003255,
      9.389742837970799,
      9.15204231134884,
      8.917522123719586,
      8.687321125145818,
      8.462311272387213,
      8.243099525825002,
      8.030041263735642,
      7.823263338558965,
      7.622695757169356,
      7.4281088076461055,
      7.239148695201982,
      7.055373035920269,
      6.87628409032588,
      6.7013575172996855,
      6.530065254765571,
      6.361897727192149,
      6.196380606811765,
      6.033085342333962,
      5.871643705663467,
      5.7117615480945965,
      5.553216487999965,
      5.395855034088735,
      5.239594511743627,
      5.084426578022269,
      4.9304195860035955,
      4.777699868735235,
      4.626440657750891,
      4.476877221716768,
      4.329300506373061,
      4.184045750536725,
      4.041480511965959,
      3.9020008969613174,
      3.7660240100502764,
      3.6339525612018577,
      3.5061585610304693,
      3.3829742972319825,
      3.264685819703312,
      3.1515278535039957,
      3.0436805695767335,
      2.9412691561172624,
      2.844365493348298,
      2.752980549458741,
      2.667076260196674,
      2.5865639062443764,
      2.5112991238204305,
      2.441073793962962,
      2.375638340169306,
      2.31471678597962,
      2.2580113819308245,
      2.2051984997178957,
      2.155914807129756,
      2.109761022734313,
      2.066361387694373,
      2.0253727139202993,
      1.9864562868172773,
      1.949315888307007,
      1.913719617861296,
      1.8794865098032203,
      1.84647174664019,
      1.8145566527836188,
      1.783638625877952,
      1.7536319948757193,
      1.7244677880134203,
      1.6960893658454577,
      1.6684474815834882,
      1.6414977661449193,
      1.6152024008395678,
      1.5895288506226146,
      1.5644485703922544,
      1.5399360804771245,
      1.515968305792242,
      1.4925240963849935,
      1.4695838799805714,
      1.4471294054264607,
      1.4251435506126575,
      1.4036101786470352,
      1.3825140262832327,
      1.3618410310666853,
      1.3415784157091886,
      1.3217138199603655,
      1.3022352230184433,
      1.2831309847987487,
      1.2643901385477212,
      1.246002548099258,
      1.2279583327494863,
      1.2102478270916106,
      1.1928616286060119,
      1.1757906249461345,
      1.1590260077819385,
      1.1425592774017068,
      1.1263824655952814,
      1.1104887416262497,
      1.0948717985569165,
      1.0795253263160454,
      1.0644429208947508,
      1.049618189025715,
      1.0350448159245942,
      1.020716610818003,
      1.006627533806312,
      0.9927715459164103,
      0.9791426883696965,
      0.9657352779319018,
      0.9525438784648284,
      0.9395632757764796,
      0.9267884575474818,
      0.9142146853173614,
      0.9018382588348977,
      0.8896558922214368,
      0.877664031979459,
      0.8658589849334799,
      0.8542370022496664,
      0.8427943349121186,
      0.831527270902217,
      0.8204321590005649,
      0.8095054236425103,
      0.7987435733556739,
      0.7881432056987357,
      0.7777012616504485,
      0.7674158998842805,
      0.7572853444498233,
      0.7473074209744489,
      0.7374797134099883,
      0.727799668088188,
      0.718264663717939,
      0.7088719347998308,
      0.6996181686152035,
      0.6905000373702416,
      0.6815144920313831,
      0.6726587078783285,
      0.6639300340668844,
      0.6553259575020617,
      0.6468440780482897,
      0.6384820902485778,
      0.630237770481255,
      0.6221089678848931,
      0.6140935967565916,
      0.6061896314884372,
      0.5983951024172945,
      0.5907080920332635,
      0.5831267324677694,
      0.5756492031995478,
      0.5682737290896167,
      0.5609985781415167,
      0.55382206003661,
      0.5467425247908649,
      0.5397583611090633,
      0.532867995103476,
      0.526069889180946,
      0.5193625409015405,
      0.5127444814585258,
      0.5062142749300139,
      0.4997705174684147,
      0.49341183579799824,
      0.4871368865509895,
      0.48094435512360456,
      0.47483295517673213,
      0.4688014277167392,
      0.4628485400158757,
      0.4569730850361518,
      0.45117388062263963,
      0.4454497688270535,
      0.4397996153126954,
      0.4342223085906801,
      0.42871675926777053,
      0.42328189971567076,
      0.41791668299461354,
      0.412620082635494,
      0.40739109213848224,
      0.40222872447148483,
      0.39713201108658236,
      0.39210000182892807,
      0.38713176429110246,
      0.38222638358143557,
      0.37738296161777646,
      0.37260061686407014,
      0.3678784820182869,
      0.3632154995462794,
      0.3586105170856379,
      0.3540625041937875,
      0.34957051812918677,
      0.3451336809513101,
      0.34075116336211514,
      0.3364221736692563,
      0.33214594977256356,
      0.3279217537145701,
      0.3237488676833575,
      0.3196265914174106,
      0.3155542398975093,
      0.3115311421723118,
      0.3075566399524632,
      0.303630087255993,
      0.29975084943779196,
      0.29591830269546043,
      0.29213183352977795,
      0.2883908387309639,
      0.2846947400701505,
      0.2810431002962875,
      0.27743552595717147,
      0.27387164670691627,
      0.27035132989622684,
      0.2668743853527148,
      0.26344052987315336,
      0.2600494754090599,
      0.25670089060712104,
      0.25339437424191036,
      0.25012947933569013,
      0.24690572966400495,
      0.243722780856463,
      0.24058054938228704,
      0.23747887386127042,
      0.23441747222936912,
      0.23139598021585023,
      0.22841397954124748,
      0.22547101742014491,
      0.22256661995019955,
      0.21970025226298107,
      0.21687133792814867,
      0.214079357185478,
      0.2113239311963015,
      0.20860468351638284,
      0.20592120361130592,
      0.2032730599212192,
      0.20065980912948697,
      0.19808100195202902,
      0.19553618705987186,
      0.19302491418110773,
      0.19054673568139435,
      0.18810120788976722,
      0.1856878917800445,
      0.1833063534822569,
      0.18095616468951287,
      0.17863690268262283,
      0.17634815044356086,
      0.17408949682067218,
      0.1718605364659711,
      0.16966086965392146,
      0.16749010231729014,
      0.16534784609140335,
      0.1632337180297444,
      0.16114734064546316,
      0.15908834183999457,
      0.15705635479565266,
      0.15505101787617454,
      0.1530719745350047,
      0.1511188733522967,
      0.14919136778744735,
      0.14728911618072396,
      0.14541178175639483,
      0.14355903227054256,
      0.14173054024485252,
      0.13992598273083162,
      0.1381450413355994,
      0.1363874020003533,
      0.13465275514804634,
      0.13294079559029845,
      0.1312512220850424,
      0.12958373764419345,
      0.127938049498082,
      0.1263138688887182,
      0.12471091093894326,
      0.1231288947313394,
      0.12156754318947639,
      0.12002658309231024,
      0.11850574489093071,
      0.11700476274734116,
      0.1155233745022545,
      0.11406132148942374,
      0.11261834860328562,
      0.11119419569326115,
      0.10978857986134014,
      0.10840122725877302,
      0.10703187750780846,
      0.10568028050868161,
      0.10434619422644988,
      0.10302938295258517,
      0.10172961643559117,
      0.10044666894201444,
      0.09918031881730016,
      0.09793034806726682,
      0.09669654209241711,
      0.09547868938333363,
      0.09427658152567706,
      0.09309001315264148,
      0.09191878164699192,
      0.09076268716474675,
      0.0896215326302352,
      0.08849512360728412,
      0.08738326812901814,
      0.08628577689875129,
      0.0852024631631841,
      0.0841331425503264,
      0.08307763318921307,
      0.08203575567961056,
      0.08100733289876619,
      0.07999219011210969,
      0.07899015493367098,
      0.07800105714205555,
      0.0770247288351315,
      0.0760610043926957,
      0.07510972029165087,
      0.07417071509722852,
      0.07324382962418123,
      0.07232890673386211,
      0.0714257913011738,
      0.07053433027149796,
      0.06965437257558159,
      0.0687857691729115,
      0.06792837298783934,
      0.06708203883380655,
      0.06624662342120585,
      0.06542198531124875,
      0.06460798508076068,
      0.06380448493773644,
      0.06301134891844219,
      0.06222844290374761,
      0.061455634493131586,
      0.06069279301820878,
      0.059939789559897774,
      0.059196496844678224,
      0.05846278933176397,
      0.057738542975653,
      0.05702361934297308,
      0.056317846366029684,
      0.055621062974798435,
      0.054933124297265504,
      0.054253897001348646,
      0.05358325607757121,
      0.052921082716599295,
      0.0522672628658652,
      0.0516216860842637,
      0.05098424489752368,
      0.050354834273157435,
      0.04973335125713683,
      0.04911969467632839,
      0.04851376493948287,
      0.04791546405112577,
      0.04732469540586823,
      0.04674136368020319,
      0.046165374967648984,
      0.04559663640722567,
      0.04503505656354145,
      0.04448054509009673,
      0.043933012740378814,
      0.043392371612180035,
      0.0428585347926761,
      0.04233141649722459,
      0.04181093204693154,
      0.04129699774556937,
      0.04078953104353634,
      0.04028842903854016,
      0.03979357364411449,
      0.03930485920752922,
      0.03882219006232291,
      0.038345477696759625,
      0.03787463910485661,
      0.03740959524127364,
      0.03695027013747772,
      0.036496590144098166,
      0.03604848358330948,
      0.03560588032267464,
      0.03516871160655778,
      0.03473690985443316,
      0.034310410998409625,
      0.03388915304711655,
      0.03347307383688239,
      0.03306211123114857,
      0.032656203479033745,
      0.03225528905031573,
      0.03185930697711709,
      0.03146819686057535,
      0.0310818990354581,
      0.030700354470678294,
      0.030323504652949057,
      0.029951291797088813,
      0.029583658909429805,
      0.029220549644433397,
      0.02886190829444192,
      0.02850767983561742,
      0.028157809970455586,
      0.027812245115841197,
      0.027470932221917207,
      0.02713381887003423,
      0.02680085343010845,
      0.02647198487773673,
      0.026147162734473765,
      0.02582633712474833,
      0.025509458847775366,
      0.025196479331349886,
      0.024887350587914355,
      0.024582025236776068,
      0.024280456401174686,
      0.023982597811056838,
      0.023688403742785448,
      0.023397829177181854,
      0.023110829565953804,
      0.022827360956305904,
      0.02254737983140542,
      0.022270843239101955,
      0.021997708852500904,
      0.021727925036129973,
      0.021461431314975306,
      0.021198172686179743,
      0.02093809949745135,
      0.02068116583404633,
      0.020427328639278926,
      0.020176546859001814,
      0.019928781153675194,
      0.019683993502414187,
      0.0194421467550354,
      0.01920320456927002,
      0.01896713142106013,
      0.01873389242703576,
      0.018503453316108934,
      0.018275780237755654,
      0.018050839801217845,
      0.017828599020781356,
      0.017609025409301263,
      0.017392086850766233,
      0.01717775172236809,
      0.016965988815305973,
      0.016756767148520993,
      0.016550056337365032,
      0.016345826162509455,
      0.016144046833176603,
      0.015944688927696526,
      0.01574772332254231,
      0.01555312131993729,
      0.015360854554294642,
      0.01517089500834708,
      0.014983214941303148,
      0.014797787060043742,
      0.014614584265716487,
      0.014433579827348135,
      0.014254747442460185,
      0.014078060987485928,
      0.013903494733475644,
      0.013731023245137483,
      0.013560621420960286,
      0.01339226434396455,
      0.013225927495566697,
      0.013061586595854673,
      0.012899217680058122,
      0.012738797176321181,
      0.012580301641398875,
      0.012423707967771924,
      0.012268993312105602,
      0.0121161351517769,
      0.011965111215672298,
      0.011815899511408653,
      0.011668478213388945,
      0.01152282588269383,
      0.011378921319306385,
      0.011236743415353913,
      0.011096271549301612,
      0.010957485218754203,
      0.010820364182803308,
      0.010684888484280265,
      0.010551038403280732,
      0.01041879443701086,
      0.010288137331456983,
      0.01015904800574558,
      0.010031507661824661,
      0.009905497723374169,
      0.009780999820152668,
      0.009657995715987364,
      0.009536467529747175,
      0.009416397607904947,
      0.009297768455324847,
      0.00918056274289762,
      0.009064763404952651,
      0.008950353565952234,
      0.008837316588659239,
      0.008725635919817834,
      0.008615295324292104,
      0.008506278662195745,
      0.008398570029142738,
      0.008292153827422903
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567900235918762,
      10.34056617027954,
      10.106658235067162,
      9.868775838172931,
      9.629106207661117,
      9.38957968424978,
      9.151843742924626,
      8.917289033228021,
      8.687054773959563,
      8.46201313624304,
      8.242771045676799,
      8.029683737952919,
      7.822877851383128,
      7.622283146366536,
      7.427669664876453,
      7.238683372574897,
      7.054881683315931,
      6.875766708789699,
      6.70081377127095,
      6.529494651499868,
      6.361299867870491,
      6.195755287785911,
      6.032432641206685,
      5.870964016710324,
      5.711055689371727,
      5.55248564052158,
      5.395100796439782,
      5.238818941590318,
      5.0836321251131515,
      4.929609226276589,
      4.77687713310891,
      4.62560937312125,
      4.476041505654487,
      4.328464706329554,
      4.183214368664864,
      4.040658153294187,
      3.901192591851519,
      3.7652349035512795,
      3.6331874120483114,
      3.505421662198182,
      3.382269389801739,
      3.2640160313945374,
      3.150895721947195,
      3.0430880304642183,
      2.9407175487858743,
      2.8438553381076908,
      2.7525117394554277,
      2.6666477987395796,
      2.586174038373427,
      2.510945058058758,
      2.4407519046415405,
      2.375344902134508,
      2.3144479835643983,
      2.257763185808139,
      2.204966783145721,
      2.155695133849817,
      2.109548924904498,
      2.066152984671947,
      2.0251644323446434,
      1.9862450537654905,
      1.9490993713592846,
      1.9134961227712144,
      1.879254837399587,
      1.8462310548355034,
      1.8143063362968073,
      1.783378236385874,
      1.7533612857724996,
      1.7241866572111888,
      1.6957978149313233,
      1.6681456275384885,
      1.6411857816209976,
      1.614880478110733,
      1.5891971938205387,
      1.5641073899411353,
      1.539585589882278,
      1.5156087183906783,
      1.492155623784076,
      1.4692067305525995,
      1.446743782904679,
      1.424749654512207,
      1.4032082035551698,
      1.3821041611828788,
      1.3614234788306647,
      1.3411533767206663,
      1.3212814831855781,
      1.301795768129287,
      1.2826845834375362,
      1.2639370039200537,
      1.24554289265022,
      1.227492345948951,
      1.2097756813769998,
      1.19238348342149,
      1.1753066300459245,
      1.1585363047801323,
      1.1420640016011439,
      1.1258817722068954,
      1.109982795222031,
      1.0943607586601398,
      1.079009337742858,
      1.0639221174821607,
      1.0490926956345155,
      1.0345147514661877,
      1.0201820886943835,
      1.0060886632731547,
      0.9922285226375414,
      0.9785957138682566,
      0.9651845178107905,
      0.9519894728088171,
      0.9390053466150426,
      0.9262271147127066,
      0.913650118648492,
      0.9012707787626694,
      0.8890857327343655,
      0.8770913750487468,
      0.8652839765195435,
      0.853659762940058,
      0.842214967959585,
      0.8309458672723614,
      0.8198488008637373,
      0.8089201868770808,
      0.7981565291695261,
      0.7875544218814313,
      0.7771109757534522,
      0.7668244957060114,
      0.7566930953478928,
      0.7467145258524406,
      0.7368863202719109,
      0.7272058905084857,
      0.7176705915150705,
      0.708277657684355,
      0.6990237908467453,
      0.6899056422158169,
      0.6809201478404765,
      0.6720644728574006,
      0.6633359588554751,
      0.6547320877459176,
      0.6462504556279888,
      0.6378887546180647,
      0.6296447593053927,
      0.6215163171574011,
      0.6135013412369293,
      0.6055978050273108,
      0.5978037381716196,
      0.5901172223679226,
      0.5825363892558905,
      0.5750594177344375,
      0.5676845320400357,
      0.5604099996521669,
      0.5532341298469268,
      0.546155272143988,
      0.5391718146793711,
      0.5322821831715473,
      0.5254848397006807,
      0.5187782811539428,
      0.5121610384622849,
      0.5056316753879955,
      0.49918878725077964,
      0.49283100033428506,
      0.48655697080863536,
      0.4803653836063132,
      0.4742549519931327,
      0.4682244165675953,
      0.4622725441499064,
      0.4563981271241729,
      0.45059998300745885,
      0.4448769535648381,
      0.43922790390411276,
      0.4336517220117489,
      0.4281473180719223,
      0.42271362395221046,
      0.4173495924783503,
      0.4120541967794297,
      0.40682642985842277,
      0.40166530413633905,
      0.3965698507177664,
      0.39153911906659733,
      0.3865721765086626,
      0.3816681075888747,
      0.3768260138945394,
      0.37204501340585683,
      0.36732422129347897,
      0.36266255503178796,
      0.3580588759347609,
      0.35351216245567857,
      0.34902147793669275,
      0.34458594860564434,
      0.3402047479773948,
      0.33587708615574163,
      0.33160220210361774,
      0.3273793585136661,
      0.3232078380021688,
      0.31908694038593455,
      0.31501598062716285,
      0.3109942876693052,
      0.30702120320723914,
      0.30309608085999684,
      0.2992182856037926,
      0.29538719317307693,
      0.2916021899881931,
      0.287862672439841,
      0.28416808072747146,
      0.2805180042744982,
      0.27691203461519404,
      0.2733498196742617,
      0.269831231025566,
      0.2663560623632471,
      0.26292402887696176,
      0.25953484346521,
      0.25618816105719977,
      0.2528835708389145,
      0.24962061895928425,
      0.2463988331337342,
      0.24321800248320258,
      0.24007805514391078,
      0.23697877681331983,
      0.23391984696773355,
      0.2309008747867623,
      0.22792142376359542,
      0.22498102845350493,
      0.2220792043669152,
      0.21921540170274317,
      0.2163890470719691,
      0.21359970523446847,
      0.2108470051914436,
      0.20813053753566205,
      0.20544986924535827,
      0.20280455358234245,
      0.20019413665561817,
      0.1976181620370735,
      0.19507617367615238,
      0.19256771796470543,
      0.19009234502399974,
      0.18764960967728128,
      0.1852390718317579,
      0.18286029698494624,
      0.1805128563481757,
      0.17819632685584458,
      0.17591029125090976,
      0.173654338248401,
      0.17142806239515948,
      0.16923106389339126,
      0.16706294867382282,
      0.16492332830546294,
      0.1628118198883153,
      0.1607280459224287,
      0.1586716344395686,
      0.15664221853910204,
      0.15463943662480412,
      0.1526629321344176,
      0.1507123536652093,
      0.1487873546303407,
      0.14688759346990787,
      0.1450127332906919,
      0.14316244201609155,
      0.14133639214901836,
      0.13953426081544867,
      0.13775572959272947,
      0.1360004845229056,
      0.1342682160884042,
      0.13255861895343474,
      0.1308713920551097,
      0.12920623856114957,
      0.12756286558029145,
      0.1259409843807449,
      0.12434031022101119,
      0.12276056214887376,
      0.12120146309221266,
      0.1196627399174618,
      0.11814412317015457,
      0.11664534704995606,
      0.11516614938474505,
      0.11370627152724705,
      0.11226545842250198,
      0.11084345850251193,
      0.10944000546183959,
      0.10805481937716949,
      0.10668763368841587,
      0.10533819406414804,
      0.10400625566921406,
      0.10269158082994224,
      0.10139393782625943,
      0.10011310013767363,
      0.09884884558720036,
      0.09760095578712197,
      0.09636921585874633,
      0.09515341419024125,
      0.09395334230752615,
      0.09276879480695942,
      0.0915995690764073,
      0.0904454652613593,
      0.08930628625980516,
      0.08818183768860834,
      0.08707192775143875,
      0.0859763672556631,
      0.08489496939692898,
      0.08382754991467979,
      0.0827739270054781,
      0.08173392118768644,
      0.0807073555789091,
      0.07969405546625684,
      0.07869384848336644,
      0.0777065645216688,
      0.07673203580905334,
      0.07577009669170345,
      0.07482058377966949,
      0.07388333574778912,
      0.07295819335084111,
      0.07204499949698563,
      0.07114359919903407,
      0.07025383953939604,
      0.0693755695218732,
      0.06850864023933881,
      0.06765290459395808,
      0.06680821743753536,
      0.06597443563972355,
      0.06515141788691393,
      0.06433902468184001,
      0.06353711842310648,
      0.06274556329460228,
      0.061964225196424215,
      0.061192971787314476,
      0.0604316724857986,
      0.05968019848440278,
      0.058938422585900485,
      0.058206219204677126,
      0.05748346447912021,
      0.056770033589705546,
      0.056065768372456394,
      0.055370499129853534,
      0.05468407508819942,
      0.054006358734011044,
      0.0533372223232135,
      0.05267654514644347,
      0.05202421179524875,
      0.05138011104976371,
      0.05074413483330591,
      0.05011617763719865,
      0.049496136298960144,
      0.04888390963031125,
      0.048279398021210854,
      0.04768250336140277,
      0.04709312903771419,
      0.046511179825643185,
      0.04593656177060707,
      0.04536918221056252,
      0.04480894978151947,
      0.044255774135115354,
      0.04370956614703107,
      0.043170237913501684,
      0.042637702596768245,
      0.04211187449106351,
      0.0415926689813126,
      0.041080002496709137,
      0.04057379263676852,
      0.040073957958308044,
      0.03958039635352319,
      0.03909299135044279,
      0.038611638999130664,
      0.03813624501408218,
      0.03766672229497412,
      0.037202989060217836,
      0.036744967395817084,
      0.036292582417083004,
      0.03584576148674573,
      0.03540443394095742,
      0.03496853059398097,
      0.03453798369099769,
      0.03411272892342724,
      0.033692704275106664,
      0.03327784749645214,
      0.03286809649461265,
      0.03246338954568263,
      0.03206366518710959,
      0.03166886243243458,
      0.03127892103546201,
      0.030893781375638408,
      0.030513384409539327,
      0.03013767178670312,
      0.029766585930062407,
      0.029400069839453574,
      0.029038067189921028,
      0.028680522372299688,
      0.028327380444420257,
      0.02797858715133585,
      0.027634088999632454,
      0.027293833031914176,
      0.02695776703011128,
      0.026625839365311363,
      0.026297998938711827,
      0.025974195395213843,
      0.025654379040777848,
      0.025338500743391015,
      0.025026512014299535,
      0.024718364932632665,
      0.024414012180491308,
      0.024113406978575346,
      0.02381650312554637,
      0.023523254995422998,
      0.02323361751772777,
      0.022947546306449847,
      0.022664997403576043,
      0.02238592743122064,
      0.022110293618995757,
      0.021838053540986044,
      0.021569165458529424,
      0.021303588035714083,
      0.021041271959954,
      0.020782158473357792,
      0.020526193830106215,
      0.020273329430552524,
      0.02002352044145418,
      0.01977672479357446,
      0.019532902457054056,
      0.019292015093898454,
      0.019054025589654272,
      0.018818897698088637,
      0.018586596064445703,
      0.018357086112589738,
      0.018130333839271345,
      0.01790630574454202,
      0.017684968935827203,
      0.0174662908399889,
      0.017250239463620726,
      0.017036783133991016,
      0.016825890623082432,
      0.016617531069539657,
      0.016411674067707566,
      0.01620828957381729,
      0.016007347832737683,
      0.015808819464758553,
      0.015612675477739705,
      0.015418887153361838,
      0.01522742623982494,
      0.015038264777483934,
      0.014851375129043944,
      0.014666729998556687,
      0.014484302413268674,
      0.014304065764276851,
      0.014125993778387481,
      0.013950060440588665,
      0.013776240025595028,
      0.01360450715593041,
      0.013434836778691575,
      0.013267204035468492,
      0.013101584533948742,
      0.012937954143858097,
      0.012776288883400442,
      0.012616565168584398,
      0.012458759657091223,
      0.01230284935389502,
      0.012148811502029505,
      0.011996623569587809,
      0.011846263345923492,
      0.011697708886121086,
      0.01155093843132999,
      0.011405930635185442,
      0.011262664320824362,
      0.011121118563431698,
      0.010981272614291833,
      0.0108431061376247,
      0.010706598984312112,
      0.010571731227404799,
      0.01043848314129179,
      0.010306835219543472,
      0.010176768244715367,
      0.010048263257513776,
      0.009921301520573916,
      0.009795864508476753,
      0.009671933898742088,
      0.009549491595225184,
      0.00942851966996933,
      0.009309000483690835,
      0.009190916648215228,
      0.009074250888351804,
      0.008958986196751832,
      0.008845105728960934,
      0.00873259283913409,
      0.008621431129232356,
      0.008511604397314368,
      0.00840309654842066,
      0.00829589172881291,
      0.008189974378184956
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56789125665057,
      10.34053714306351,
      10.106601408113521,
      9.86868694832645,
      9.628982880591394,
      9.389420954133856,
      9.151649904955713,
      8.917060912264668,
      8.686793570489732,
      8.461720273700896,
      8.242447922710758,
      8.029331618469195,
      7.822497793465498,
      7.621875969599358,
      7.427235949483923,
      7.23822346250646,
      7.054395726351863,
      6.8752547075841175,
      6.7002753583471515,
      6.528929339484734,
      6.360707265419848,
      6.195135197958162,
      6.0317851470066355,
      5.8702895164565305,
      5.7103550043373374,
      5.55175995276841,
      5.394351703035306,
      5.2380484956072495,
      5.0828427686230055,
      4.928803924709764,
      4.776059404723773,
      4.624783029283415,
      4.475210646839032,
      4.32763366181058,
      4.182387620285393,
      4.039840285629532,
      3.900388696843127,
      3.764450096177643,
      3.6324264200897494,
      3.5046887494980097,
      3.381568271814084,
      3.263349814365437,
      3.1502669246527284,
      3.042498573820869,
      2.9401687612468175,
      2.8433477343046887,
      2.7520452101470347,
      2.6662213509866817,
      2.5857858284745445,
      2.510592224151757,
      2.44043086357804,
      2.37505191738859,
      2.3141792374301895,
      2.2575146910462274,
      2.204734455844204,
      2.155474597703114,
      2.1093357796427497,
      2.0659434069471185,
      2.02495485242236,
      1.9860324541693979,
      1.9488814622292592,
      1.9132712416862028,
      1.8790218079872631,
      1.8459890513505826,
      1.8140547644039042,
      1.7831166552718083,
      1.753089453779472,
      1.7239044760237092,
      1.6955052877316035,
      1.66784287104777,
      1.640872967666147,
      1.6145577975933811,
      1.5888648496311555,
      1.5637655916646365,
      1.5392345500427944,
      1.515248649318836,
      1.491786735713866,
      1.468829230180272,
      1.446357873116462,
      1.4243555332914004,
      1.4028060639957254,
      1.3816941912811558,
      1.361005879667305,
      1.3407283471072364,
      1.3208492110510828,
      1.3013564316843695,
      1.2822383530060535,
      1.2634840914372594,
      1.2450835093961066,
      1.2270266804413352,
      1.2093039049642342,
      1.1919057546827756,
      1.1748230974385543,
      1.1580471091597737,
      1.141569277393565,
      1.1253816768879226,
      1.109477491502849,
      1.0938504046593445,
      1.078494077076043,
      1.0634020825337036,
      1.0485680108339492,
      1.0339855345880011,
      1.0196484525717087,
      1.0055507162469053,
      0.991686424762299,
      0.9780496771036545,
      0.9646347142847129,
      0.9514360474291631,
      0.9384484249006299,
      0.9256668081520727,
      0.9130866177747098,
      0.9007043945051515,
      0.8885166993881553,
      0.8765198744481023,
      0.8647101540460674,
      0.8530837389752327,
      0.8416368453133268,
      0.830365736383247,
      0.8192667436469694,
      0.8083362784649154,
      0.7975708401426284,
      0.7869670193164404,
      0.7765221883728644,
      0.7662346749107225,
      0.7561024929148078,
      0.7461233258222505,
      0.7362946605812936,
      0.7266138773212946,
      0.7170783092649969,
      0.7076851927337403,
      0.6984312441484108,
      0.6893130961290512,
      0.6803276698364216,
      0.6714721201385885,
      0.6627437817426256,
      0.6541401315118175,
      0.6456587619030046,
      0.637297362447445,
      0.6290537058367803,
      0.6209256380358805,
      0.6129110711932847,
      0.6050079780249557,
      0.5972143867308655,
      0.5895283787374573,
      0.5819480852290938,
      0.5744716844079184,
      0.5670973997166948,
      0.5598234982963184,
      0.5526482889986676,
      0.5455701209541062,
      0.538587381912295,
      0.5316984971005504,
      0.5249019278434542,
      0.5181961707136081,
      0.5115797560243411,
      0.5050512470688285,
      0.4986092389161642,
      0.4922523573544053,
      0.48597925808729303,
      0.4797886257312152,
      0.47367917302458085,
      0.4676496398465885,
      0.4616987926597609,
      0.45582542359197703,
      0.45002834961969596,
      0.4443064119818983,
      0.43865847552433673,
      0.4330834277469343,
      0.4275801783973857,
      0.42214765882496336,
      0.4167848215040527,
      0.41149063917133155,
      0.4062641043407023,
      0.401104228893129,
      0.39601004369351717,
      0.39098059777881217,
      0.3860149579071536,
      0.3811122083677766,
      0.376271450240712,
      0.371491801226308,
      0.3667723591961111,
      0.36211201683609895,
      0.3575096485770671,
      0.3529642418691819,
      0.3484748662126674,
      0.34404065197612554,
      0.33966077548443974,
      0.33533444850659916,
      0.33106091115322805,
      0.3268394268634918,
      0.32266927859963096,
      0.31854976623760844,
      0.31448020481525635,
      0.3104599229977148,
      0.30648826230270354,
      0.3025645760412959,
      0.2986882290156606,
      0.29485859675192966,
      0.2910750652089745,
      0.28733703042847547,
      0.2836439602003642,
      0.279995458563337,
      0.27639110265958705,
      0.27283056511040815,
      0.26931371436944723,
      0.26584032914473316,
      0.26241012556931004,
      0.25902281501268776,
      0.25567803935969236,
      0.25237537865806264,
      0.24911437262973793,
      0.24589461603615406,
      0.2427160042228482,
      0.23957841020270632,
      0.23648157450765706,
      0.233425145476755,
      0.23040871079906436,
      0.22743181921714656,
      0.22449399524678207,
      0.2215947421630262,
      0.21873349790528324,
      0.21590975329077278,
      0.21312311935435718,
      0.2103731883642337,
      0.20765952616719807,
      0.20498168292170502,
      0.2023392004244736,
      0.19973161705197492,
      0.1971584711113578,
      0.19461930295803756,
      0.19211365639668,
      0.18964107997004936,
      0.18720112727553248,
      0.184793357468891,
      0.18241733549926553,
      0.1800726322042388,
      0.17775882429116024,
      0.17547549440840687,
      0.17322223119272206,
      0.1709986290390619,
      0.16880428817707224,
      0.16663881450164858,
      0.16450181949453707,
      0.16239292024963173,
      0.16031173930941,
      0.15825790458608782,
      0.15623104924615946,
      0.15423081175596517,
      0.15225683567456122,
      0.15030876959450648,
      0.148386267007661,
      0.14648898619118517,
      0.1446165903236073,
      0.14276874733514003,
      0.14094512982929522,
      0.13914541490996232,
      0.13736928432080373,
      0.13561642402598134,
      0.1338865245480967,
      0.1321792805372037,
      0.13049439095677806,
      0.1288315589968368,
      0.1271904918409977,
      0.12557090075775115,
      0.12397250102007454,
      0.12239501178645762,
      0.12083815607747306,
      0.11930166073241631,
      0.11778525633392005,
      0.11628867712550835,
      0.1148116609790632,
      0.11335394933606259,
      0.11191528718589565,
      0.11049542299224145,
      0.10909410630387933,
      0.10771106638707727,
      0.10634602853863066,
      0.10499873295198658,
      0.10366893091842015,
      0.1023563822862995,
      0.10106085373416034,
      0.09978211748900646,
      0.09851995051590767,
      0.09727413397930522,
      0.09604445258552327,
      0.09483069459324632,
      0.093632651397412,
      0.09245011756942866,
      0.09128289041885111,
      0.09013077018174263,
      0.0889935598311552,
      0.08787106487832132,
      0.08676309357088403,
      0.08566945671881245,
      0.08458996772700454,
      0.08352444235375042,
      0.08247269883085073,
      0.08143455789702433,
      0.08040984257627923,
      0.07939837829857646,
      0.07839999274588015,
      0.07741451596111525,
      0.07644178013763962,
      0.07548161963611008,
      0.07453387116854629,
      0.07359837349739136,
      0.07267496756556967,
      0.07176349638300286,
      0.07086380500974175,
      0.06997574053076794,
      0.06909915204447957,
      0.06823389057600983,
      0.06737980928059326,
      0.06653676310473737,
      0.06570460889907517,
      0.06488320536022131,
      0.0640724132149625,
      0.06327209484247151,
      0.06248211447212341,
      0.06170233813999758,
      0.06093263363638416,
      0.060172870411887555,
      0.059422919664848264,
      0.05868265429525502,
      0.05795194883016924,
      0.0572306794792767,
      0.05651872403427037,
      0.05581594563954671,
      0.05512217469976783,
      0.05443725284364538,
      0.053761037463569396,
      0.05309339725040355,
      0.05243420911753302,
      0.0517833560507315,
      0.051140725741360825,
      0.050506209352240726,
      0.04987970096482895,
      0.04926109700918773,
      0.04865029603685265,
      0.04804719827571748,
      0.04745170564660078,
      0.0468637215442849,
      0.046283150776941916,
      0.04570989943452635,
      0.04514387488631297,
      0.04458498574495291,
      0.04403314179396686,
      0.04348825402167216,
      0.04295023458013199,
      0.04241899674820923,
      0.041894454864555494,
      0.04137652439781415,
      0.04086512179208987,
      0.04036016472061427,
      0.039861571761462926,
      0.03936926262754618,
      0.03888313691428311,
      0.03840307986336988,
      0.037928988755877587,
      0.037460770664034845,
      0.03699833971922157,
      0.03654161524423347,
      0.03609052043965908,
      0.03564498139117216,
      0.03520492638337364,
      0.03477028571846413,
      0.034340991177065364,
      0.03391697821001228,
      0.033498184700705896,
      0.03308454842960588,
      0.032676007162098876,
      0.03227249907970123,
      0.03187396280557425,
      0.03148033756885903,
      0.03109156309737094,
      0.030707579760638624,
      0.0303283286358014,
      0.02995375149353538,
      0.029583790764421483,
      0.02921838946007489,
      0.028857491414725874,
      0.028501041122855557,
      0.028148983735098623,
      0.02780126514281097,
      0.02745783187130867,
      0.02711863106783288,
      0.026783610523822023,
      0.026452718645500483,
      0.02612590445233975,
      0.025803117768936762,
      0.025484308980734765,
      0.025169428947970977,
      0.024858429220544147,
      0.024551261924580625,
      0.024247879823356945,
      0.023948236265528992,
      0.0236522851554333,
      0.02335998096963007,
      0.023071278725049396,
      0.022786133974506944,
      0.022504502893532872,
      0.02222634217852867,
      0.02195160912541997,
      0.021680261449563407,
      0.02141225731733578,
      0.021147555532030616,
      0.020886115467920338,
      0.020627896885632206,
      0.020372853657362244,
      0.020120928818720147,
      0.01987206944230106,
      0.019626227763628722,
      0.0193833598111418,
      0.019143424368878045,
      0.01890638229977917,
      0.018672196227067103,
      0.01844082980881616,
      0.01821224783742885,
      0.017986415910678184,
      0.01776330020789081,
      0.017542867567325062,
      0.017325085502460345,
      0.017109921820128965,
      0.016897344857105392,
      0.016687323463842284,
      0.016479826774321076,
      0.01627482434584681,
      0.016072286192430202,
      0.015872182660747077,
      0.015674484485602682,
      0.01547916277699481,
      0.01528618891953738,
      0.015095534644733033,
      0.014907172079146457,
      0.014721073596873236,
      0.014537211997408454,
      0.014355560411904457,
      0.014176092223015808,
      0.013998781176920118,
      0.013823601381963415,
      0.013650527239008002,
      0.01347953344916074,
      0.013310594971851357,
      0.013143687009167836,
      0.01297878520760895,
      0.012815865473538544,
      0.012654904005885662,
      0.012495877259975093,
      0.012338761931514307,
      0.012183535024233434,
      0.012030173861423996,
      0.011878656054156235,
      0.011728959445302719,
      0.01158106216903115,
      0.011434942494766828,
      0.011290579149299125,
      0.01114795100418691,
      0.01100703714560162,
      0.010867816989411609,
      0.0107302701749455,
      0.010594376631546104,
      0.010460116366027804,
      0.010327469785209549,
      0.010196417453360548,
      0.010066940289693333,
      0.009939019398076315,
      0.009812635973585011,
      0.009687771623305221,
      0.00956440802690567,
      0.009442527112888352,
      0.00932211110204191,
      0.00920314239327864,
      0.009085603602661741,
      0.008969477507868653,
      0.008854747171508677,
      0.00874139579824424,
      0.008629406751570676,
      0.008518763787617517,
      0.0084094506795229,
      0.008301451331994702,
      0.008194749978934884,
      0.008089331089655906
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567882208815737,
      10.340507927070046,
      10.106544324811034,
      9.86859776219806,
      9.62885922871484,
      9.389261877903671,
      9.151455704572127,
      8.916832416093284,
      8.686531982816383,
      8.46142701952268,
      8.242124400865661,
      8.028979092108283,
      7.822117317699272,
      7.621468363699797,
      7.426801795251322,
      7.23776310599405,
      7.053909316021836,
      6.874742245878079,
      6.699736478035869,
      6.528363553404235,
      6.360114182412534,
      6.194514621138542,
      6.031137158607778,
      5.8696145137926745,
      5.7096538063265045,
      5.5510337386934,
      5.393602067368881,
      5.237277489097568,
      5.082052830693656,
      4.9279980147169296,
      4.7752410334379105,
      4.623956004525123,
      4.474379064863738,
      4.326801847560757,
      4.181560051821535,
      4.03902154343021,
      3.8995838685970408,
      3.763664293228841,
      3.6316643674772964,
      3.5039547092964716,
      3.380865961616175,
      3.262682341753248,
      3.149636807298736,
      3.0419077320358436,
      2.9396185231107403,
      2.842838614396186,
      2.751577100745069,
      2.6657932645081353,
      2.585395817757545,
      2.510237349073743,
      2.4401075865163904,
      2.3747564738851703,
      2.313907800463562,
      2.257263289028632,
      2.2044989484825517,
      2.15525061609887,
      2.1091190129422257,
      2.0657301057861015,
      2.0247415021806674,
      1.9858160912257097,
      1.948659836742443,
      1.9130427197107858,
      1.8787852334248205,
      1.845743611753999,
      1.8137998738642496,
      1.7828518772951463,
      1.7528145482748863,
      1.723619344542197,
      1.695209932724739,
      1.6675374069774123,
      1.640557564029259,
      1.6142326429746219,
      1.588530144190267,
      1.5634215415663515,
      1.5388813642380925,
      1.5148865369978457,
      1.4914159043763298,
      1.4684498843192304,
      1.445970213052114,
      1.4239597545564604,
      1.4024023569103468,
      1.3812827409658035,
      1.3605868859196775,
      1.3403020071833407,
      1.320415710355003,
      1.3009159465228817,
      1.2817910522300378,
      1.2630301853928765,
      1.2446232076704065,
      1.226560169562767,
      1.2088313545648888,
      1.1914273215009155,
      1.1743389284323487,
      1.1575573436798818,
      1.1410740486170223,
      1.1248811409999382,
      1.108971810092654,
      1.0933397342885574,
      1.0779785597804001,
      1.062881849455918,
      1.0480431848949603,
      1.033456232146302,
      1.019114785140737,
      1.0050127912024762,
      0.9911443671133306,
      0.9775036881650507,
      0.9640849799699384,
      0.95088272144092,
      0.9378916385173779,
      0.925106676925965,
      0.9125233967072208,
      0.9001383741041667,
      0.8879481000125973,
      0.8759488684062313,
      0.8641368804152189,
      0.8525083133127564,
      0.8410593669746425,
      0.8297862934115064,
      0.8186854157524922,
      0.8077531397802395,
      0.7969859603338436,
      0.7863804646307629,
      0.7759342860246242,
      0.7656457747236383,
      0.7555128456277505,
      0.745533114823724,
      0.7357040232362065,
      0.7260229194036246,
      0.7164871149245965,
      0.7070938476208631,
      0.6978398482530092,
      0.6887217310530133,
      0.6797364024209925,
      0.6708810069300721,
      0.6621528722254543,
      0.6535494703727582,
      0.6450683905627653,
      0.6367073196089902,
      0.628464028146511,
      0.6203363607576181,
      0.6123222284647833,
      0.6044196031048416,
      0.5966265124406755,
      0.5889410368784475,
      0.5813613069062624,
      0.5738855003205324,
      0.5665118402640825,
      0.5592385931936605,
      0.5520640673686471,
      0.544986611309502,
      0.5380046124114863,
      0.5311164954149498,
      0.5243207214258171,
      0.5176157864494672,
      0.5110002204370419,
      0.5044725861876151,
      0.49803147816389187,
      0.4916755216571585,
      0.48540337192681987,
      0.4792137131921211,
      0.47310525770830614,
      0.46707674505958746,
      0.4611269412401975,
      0.45525463785813947,
      0.4494586515161228,
      0.4437378230933476,
      0.4380910168044144,
      0.43251711980121216,
      0.42701504137946195,
      0.4215837124802109,
      0.4162220850557787,
      0.4109291314817508,
      0.40570384393976855,
      0.4005452339268041,
      0.3954523317655927,
      0.3904241860676427,
      0.3854598633031265,
      0.3805584474541368,
      0.3757190391941536,
      0.37094075561125206,
      0.3662226773766388,
      0.36156367263810196,
      0.3569626289641316,
      0.35241854274628936,
      0.34793048966324813,
      0.34349760412984326,
      0.3391190648805148,
      0.33479408559568913,
      0.33052190765154565,
      0.32630179505822654,
      0.3221330311377949,
      0.3180149158886903,
      0.3139467643086883,
      0.3099279051125132,
      0.3059576794846296,
      0.30203544055146125,
      0.29816055268184244,
      0.29433239114932835,
      0.29055034165996907,
      0.28681379993618006,
      0.28312226936747936,
      0.27947535756736375,
      0.27587262836536053,
      0.2723137794736459,
      0.2687986768301068,
      0.2653270856480605,
      0.26189872679960396,
      0.2585133035391517,
      0.2551704453675567,
      0.25186972354122505,
      0.24861067169664977,
      0.2453930059933533,
      0.24221665861203495,
      0.2390814491064886,
      0.23598707726252988,
      0.23293316337763498,
      0.22991927590549738,
      0.22694495023584896,
      0.2240097016956539,
      0.22111302220454115,
      0.21825436550226632,
      0.21543330039767186,
      0.21264941958082945,
      0.20990228666698715,
      0.2071914478909927,
      0.20451644011836737,
      0.20187679616106957,
      0.19927204811868138,
      0.1967017300555695,
      0.1941653795411329,
      0.19166253858136242,
      0.18919275431441807,
      0.18675557943509138,
      0.18435057246516512,
      0.1819772978957912,
      0.1796353262926867,
      0.17732423417363521,
      0.17504360414172562,
      0.1727930247152597,
      0.17057209022345268,
      0.1683804008183767,
      0.16621756243782265,
      0.164083186637384,
      0.1619768905005671,
      0.15989829659551952,
      0.1578470327871186,
      0.15582273233727778,
      0.1538250336384212,
      0.15185358017052217,
      0.14990802049847057,
      0.14798800818789445,
      0.1460932016846811,
      0.1442232641255152,
      0.14237786356939713,
      0.14055667258188195,
      0.1387593683033112,
      0.13698563236517683,
      0.13523515087720506,
      0.13350761427525715,
      0.13180271734775556,
      0.1301201591290567,
      0.12845964283795963,
      0.12682087565710315,
      0.12520356885557707,
      0.12360743777181628,
      0.12203220161823251,
      0.12047758355291871,
      0.11894331028041008,
      0.1174291124714658,
      0.11593472444531287,
      0.11445988409889263,
      0.11300433293057292,
      0.11156781603122636,
      0.11015008187057508,
      0.10875088234308732,
      0.10736996594587783,
      0.10600705899360692,
      0.10466189439198924,
      0.10333421848020967,
      0.10202378770716496,
      0.10073036639507534,
      0.09945372523831618,
      0.09819364016260487,
      0.09694989156569386,
      0.09572226380318699,
      0.09451054480284334,
      0.09331452578064238,
      0.09213400115933595,
      0.09096876821208474,
      0.08981862712316441,
      0.08868338083632468,
      0.08756283498930614,
      0.08645679787043364,
      0.08536508035302669,
      0.08428749584200965,
      0.08322386020089728,
      0.08217399177679016,
      0.08113771133214567,
      0.08011484201726277,
      0.07910520927505969,
      0.07810864087782096,
      0.07712496691230833,
      0.0761540196615827,
      0.07519563358414114,
      0.07424964544692368,
      0.07331589398658771,
      0.072394220344803,
      0.07148446753534823,
      0.07058648067856545,
      0.0697001069921821,
      0.06882519557982904,
      0.06796159764025049,
      0.06710916633396732,
      0.06626775668924062,
      0.06543722573753016,
      0.06461743227477959,
      0.06380823695342994,
      0.06300950226395652,
      0.06222109253878563,
      0.061442873829773946,
      0.060674713935221385,
      0.05991648255077071,
      0.059168050912429763,
      0.05842929196394626,
      0.05770008034563968,
      0.05698029233583988,
      0.056269805836659165,
      0.05556849803872636,
      0.054876213306435453,
      0.054192784486137006,
      0.05351806290897029,
      0.052851913120133334,
      0.05219420920464264,
      0.05154483223152091,
      0.050903668459908125,
      0.050270608197954314,
      0.04964554494434738,
      0.049028374812926497,
      0.048418996081394015,
      0.047817308974462784,
      0.04722321528256639,
      0.04663661834909471,
      0.04605742296513254,
      0.04548553524732954,
      0.0449208626927052,
      0.04436331393004831,
      0.04381279883533172,
      0.04326922839710887,
      0.042732514821752964,
      0.04220257144922234,
      0.04167931272416612,
      0.0411626542699411,
      0.04065251261692877,
      0.040148805443555986,
      0.03965145147193986,
      0.03916037035431719,
      0.03867548296760059,
      0.0381966911037626,
      0.03772388174398943,
      0.03725695338244707,
      0.03679581414511693,
      0.03634037921789121,
      0.03589056893497561,
      0.03544630745031806,
      0.03500752178627011,
      0.03457414130728117,
      0.034146097221419994,
      0.03372332457576586,
      0.033305760906196795,
      0.032893343786044776,
      0.03248601103741825,
      0.03208370080944417,
      0.031686351721572276,
      0.03129390292246648,
      0.030906294307239592,
      0.030523466253789246,
      0.030145359971814018,
      0.029771917257135145,
      0.02940308060124242,
      0.029038793201697406,
      0.028678998924592018,
      0.028323642342621372,
      0.02797266866138752,
      0.02762602383588416,
      0.02728365437487566,
      0.02694550760574619,
      0.02661153132188572,
      0.026281674084224656,
      0.025955885108896227,
      0.025634114141780018,
      0.02531631162434762,
      0.025002428614145575,
      0.024692416618620015,
      0.02438622789529259,
      0.024083815270931532,
      0.023785132230530498,
      0.02349013267789194,
      0.023198771175091937,
      0.02291100290423264,
      0.02262678356204615,
      0.02234606930082227,
      0.022068816830366822,
      0.02179498343264563,
      0.021524526979107318,
      0.021257405746495928,
      0.0209935785969266,
      0.020733004918343022,
      0.020475644535589012,
      0.020221457839131027,
      0.019970405674348317,
      0.01972244575508805,
      0.0194775233226318,
      0.019235585805540967,
      0.018996586065125814,
      0.018760480709429025,
      0.018527229306561747,
      0.018296793545516103,
      0.01806913679991317,
      0.017844223602756278,
      0.017622019590135426,
      0.017402491207641577,
      0.017185605502349245,
      0.016971330184564547,
      0.016759633520367044,
      0.016550484207107686,
      0.016343851486101443,
      0.016139704907510703,
      0.015938014433633282,
      0.015738750454626624,
      0.015541883799681515,
      0.015347385527261097,
      0.015155227135874595,
      0.014965380496930998,
      0.014777817725351049,
      0.014592511324625433,
      0.014409434136334628,
      0.014228559277947493,
      0.014049860412904992,
      0.013873311329124364,
      0.013698886097035453,
      0.013526559152370173,
      0.013356305240410432,
      0.013188099399544986,
      0.013021917092567668,
      0.012857733874680904,
      0.012695525736926712,
      0.012535268910015654,
      0.012376939923742027,
      0.012220515642195118,
      0.01206597302670441,
      0.011913289414354102,
      0.011762442486247146,
      0.011613410205490627,
      0.011466170698909466,
      0.01132070237486079,
      0.011176984003812956,
      0.011034994520466511,
      0.010894713087530108,
      0.010756119147613524,
      0.010619192450586542,
      0.01048391287942628,
      0.010350260625904814,
      0.010218216154917371,
      0.010087760059437872,
      0.009958873232584285,
      0.009831536824147525,
      0.009705732141434553,
      0.009581440817592865,
      0.00945864461227557,
      0.00933732551172185,
      0.009217465753693668,
      0.009099047795753913,
      0.008982054316505377,
      0.008866468185757368,
      0.00875227247359087,
      0.008639450422074401,
      0.00852798553868993,
      0.008417861518628675,
      0.008309062161822927,
      0.008201571589420177,
      0.008095374003104713,
      0.007990453871302015
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.5678731856959,
      10.340478788792028,
      10.106487396036943,
      9.868508813046283,
      9.628735887328444,
      9.389103174874194,
      9.151261933196032,
      8.916604398227769,
      8.686270914660527,
      8.461134318445872,
      8.241801459467744,
      8.028627168972893,
      7.821737465880103,
      7.621061400431483,
      7.426368301723758,
      7.237303428510186,
      7.053423603243856,
      6.874230456832195,
      6.699198212570889,
      6.527798334518446,
      6.359521627033413,
      6.193894538509476,
      6.03048963615574,
      5.868940003493463,
      5.708953127538072,
      5.5503080709084704,
      5.392853003097579,
      5.236507075236083,
      5.081263502668976,
      4.927192629381209,
      4.774423013965636,
      4.623129168982829,
      4.473547518327459,
      4.325969922262886,
      4.180732232373571,
      4.038202416895021,
      3.8987785294259516,
      3.7628778581078826,
      3.6309015651810763,
      3.503219805264004,
      3.380162683565585,
      3.262013808627307,
      3.1490055396873955,
      3.0413156529437813,
      2.939066963987646,
      2.8423280946568243,
      2.751107517767119,
      2.6653636401996117,
      2.5850042169022838,
      2.5098808462926967,
      2.4397826619376475,
      2.3744593793656743,
      2.3136347254832,
      2.257010278325236,
      2.204261875258532,
      2.155025122505018,
      2.108900796742601,
      2.0655154246653806,
      2.024526847849731,
      1.9855985040291269,
      1.948437069625794,
      1.912813140254012,
      1.8785476860180454,
      1.8454972846956186,
      1.81354418135381,
      1.7825863813152183,
      1.7525390076862384,
      1.7233336591236246,
      1.694914103113434,
      1.6672315463578082,
      1.6402418394472862,
      1.6139072405272359,
      1.588195261784032,
      1.563077384431135,
      1.5385281400445217,
      1.5145244533749156,
      1.4910451670458373,
      1.4680706959442198,
      1.445582771624195,
      1.4235642543683045,
      1.401998987479103,
      1.3808716868014252,
      1.360168344833902,
      1.3398761747571264,
      1.3199827711949483,
      1.3004760760568321,
      1.281344420643824,
      1.2625770032847836,
      1.2441636820741384,
      1.2260944850603954,
      1.2083596794021991,
      1.1909498112888393,
      1.1738557289595521,
      1.1570685929359503,
      1.140579878686624,
      1.1243817072988327,
      1.1084672733594796,
      1.0928302504608436,
      1.0774642699903483,
      1.0623628845305342,
      1.0475196671642164,
      1.032928277766627,
      1.0185825046447656,
      1.0044762911225016,
      0.9906037507471817,
      0.9769591319455603,
      0.9635366838424053,
      0.9503308486799741,
      0.9373363266059421,
      0.9245480453869115,
      0.9119617225439077,
      0.8995739429218821,
      0.8873811288073177,
      0.8753795270427764,
      0.8635653058831624,
      0.8519346198409815,
      0.8404836527368855,
      0.8292086453121134,
      0.8181059126076782,
      0.8071718545624365,
      0.796402961993147,
      0.7857959127280058,
      0.7753485534345225,
      0.765059162577626,
      0.7549255713572586,
      0.7449453389719966,
      0.7351158672891392,
      0.7254344783469419,
      0.7158984655769128,
      0.7065050708216019,
      0.69725104079695,
      0.6881329718075249,
      0.6791477564283298,
      0.6702925298925573,
      0.661564613099186,
      0.6529614734262744,
      0.6444806962953675,
      0.6361199661608629,
      0.6278770519823469,
      0.6197497969577817,
      0.6117361112095421,
      0.6038339653351101,
      0.5960413864003492,
      0.5883564543679514,
      0.5807772991477188,
      0.5733020979934673,
      0.5659290734067371,
      0.5586564914273809,
      0.5514826598612665,
      0.544405926706731,
      0.537424678735658,
      0.5305373402366058,
      0.5237423718506189,
      0.5170382690737193,
      0.5104235613470576,
      0.5038968111310678,
      0.49745661253702284,
      0.49110159046124385,
      0.48483039979511255,
      0.4786417242074811,
      0.4725342754184597,
      0.46650679256257616,
      0.4605580411368183,
      0.4546868123517723,
      0.4488919224813031,
      0.44317221185967626,
      0.4375265442911311,
      0.4319538065192453,
      0.42645290735224967,
      0.42102277736275656,
      0.4156623681471545,
      0.4103706515291332,
      0.4051466192682468,
      0.39998928238632003,
      0.3948976710038695,
      0.3898708333918487,
      0.38490783553745384,
      0.3800077607674177,
      0.3751697093542843,
      0.3703927980829031,
      0.36567609060480066,
      0.3610184307867651,
      0.35641871933828706,
      0.3518759613670195,
      0.34738923847970515,
      0.3429576891148858,
      0.33858049491469716,
      0.33425687128290327,
      0.3299860606222168,
      0.32576732760486726,
      0.3215999558254367,
      0.3174832453931668,
      0.31341651130404174,
      0.30939908199120186,
      0.3054302985200727,
      0.3015095138925331,
      0.2976360921800716,
      0.29380940824659446,
      0.29002884751454,
      0.28629380936102994,
      0.2826038306347604,
      0.27895851870876254,
      0.27535742481780695,
      0.27180027186644773,
      0.26828692338571647,
      0.26481713235616555,
      0.2613906235510197,
      0.2580070922484383,
      0.25466615558689637,
      0.25136737634280276,
      0.24811031740845285,
      0.24489481534001303,
      0.24172078486755016,
      0.23858799439092052,
      0.23549610852798272,
      0.23244472352635726,
      0.22943339113929886,
      0.2264616353310813,
      0.22352896347777648,
      0.22063485730685645,
      0.21777884099164788,
      0.21496050461452035,
      0.21217940736846172,
      0.20943509015870193,
      0.20672708379714894,
      0.20405491458722805,
      0.20141810809743627,
      0.198816191697582,
      0.19624869618604204,
      0.19371515689690458,
      0.19121511416369172,
      0.18874811404573338,
      0.18631370862029834,
      0.1839114558802365,
      0.1815409200645811,
      0.1792016715071509,
      0.17689328658851092,
      0.17461534772783324,
      0.17236744333858992,
      0.17014916772922029,
      0.16796012112039527,
      0.16579990935303224,
      0.1636681439928161,
      0.16156444218226235,
      0.15948842643130104,
      0.15743972467701567,
      0.15541797021137788,
      0.15342280145230813,
      0.15145386188775795,
      0.14951080012956983,
      0.14759326977792062,
      0.1457009291922007,
      0.14383344159368314,
      0.14199047502279435,
      0.1401717021073179,
      0.13837680002861324,
      0.13660545043778505,
      0.13485733945495113,
      0.13313215761202402,
      0.13142959975833846,
      0.12974936489661365,
      0.1280911561461941,
      0.12645468087163128,
      0.12483965041117115,
      0.12324578005307064,
      0.12167278911343682,
      0.1201204007278925,
      0.11858834175722606,
      0.11707634286404592,
      0.11558413833448121,
      0.11411146614705198,
      0.11265806779904508,
      0.11122368845013277,
      0.10980807664490438,
      0.10841098439069957,
      0.10703216693486575,
      0.1056713688619296,
      0.1043283184132599,
      0.10300275529148582,
      0.10169443144114143,
      0.10040310817138763,
      0.0991285539748244,
      0.09787054337166463,
      0.09662885581402564,
      0.0954032750405515,
      0.09419358859921957,
      0.09299958752988274,
      0.09182106600833262,
      0.09065782127513498,
      0.08950965342252036,
      0.0883763654267462,
      0.08725776294868302,
      0.08615365434802377,
      0.08506385052843884,
      0.0839881649576243,
      0.08292641352727598,
      0.08187841457497397,
      0.08084398894625029,
      0.07982295992599361,
      0.07881515308928475,
      0.07782039617341088,
      0.07683851935839107,
      0.07586935507915556,
      0.07491273785547918,
      0.07396850450802324,
      0.07303649397888251,
      0.07211654728046847,
      0.07120850749992229,
      0.0703122199160363,
      0.06942753175189093,
      0.0685542922815576,
      0.06769235275660722,
      0.06684156639393175,
      0.06600178825641595,
      0.06517287532465046,
      0.06435468659534851,
      0.0635470828335078,
      0.06274992657035078,
      0.06196308229502362,
      0.061186416138552066,
      0.0604197959773065,
      0.059663091517566005,
      0.058916174100656575,
      0.05817891676882353,
      0.0574511941495299,
      0.05673288260356208,
      0.05602386007735572,
      0.05532400618075051,
      0.05463318712826483,
      0.05395123612872207,
      0.053277996815917564,
      0.05261332849863705,
      0.051957101588091824,
      0.05130919470042096,
      0.05066949240751707,
      0.05003788386696444,
      0.049414261784110285,
      0.04879852184298834,
      0.048190561979935057,
      0.04759028213343374,
      0.04699758401117682,
      0.046412370927623715,
      0.0458345476887815,
      0.04526402043217617,
      0.04470069655764812,
      0.044144484843999035,
      0.04359529525320596,
      0.043053038888624495,
      0.042517628020920496,
      0.041988976093256,
      0.041466997552766345,
      0.040951607956262605,
      0.040442724080232625,
      0.03994026369501854,
      0.03944414557522319,
      0.03895428955518633,
      0.03847061640404262,
      0.03799304798124489,
      0.037521489055372045,
      0.03705582852666858,
      0.03659596573370797,
      0.03614180964037596,
      0.03569327636569366,
      0.035250287132804606,
      0.034812766940508263,
      0.034380643825275836,
      0.03395384805871443,
      0.033532314005934816,
      0.03311597883597306,
      0.03270477991970375,
      0.0322986548558182,
      0.03189754169449459,
      0.031501379010265805,
      0.0311101060499713,
      0.03072366264481014,
      0.030341989207358252,
      0.029965027023547336,
      0.029592718007018324,
      0.02922500470112883,
      0.028861830378646883,
      0.02850313897578378,
      0.028148875127425664,
      0.027798984198624258,
      0.027453412166213442,
      0.027112105690663378,
      0.02677501205680484,
      0.026442079269795467,
      0.026113255899295994,
      0.02578849112938194,
      0.025467734916145658,
      0.0251509377406363,
      0.024838050701560404,
      0.024529025533584298,
      0.024223814545674818,
      0.0239223706060318,
      0.02362464718037549,
      0.023330598321388552,
      0.02304017864759986,
      0.022753343331412625,
      0.022470048114203712,
      0.022190249311105855,
      0.02191390374163311,
      0.021640968751443366,
      0.021371402236056367,
      0.021105162603065386,
      0.02084220874607693,
      0.020582500244577362,
      0.020325996982902286,
      0.020072659347720286,
      0.01982244826367785,
      0.019575325103809934,
      0.019331251728995986,
      0.019090188933541134,
      0.0188520863684614,
      0.01861689131273659,
      0.01838455684958823,
      0.01815504007268856,
      0.01792830108486118,
      0.017704302218541267,
      0.01748300753184925,
      0.017264382311588083,
      0.017048392937102485,
      0.01683500658968577,
      0.016624191193685203,
      0.01641591537365745,
      0.01621014814675091,
      0.016006859049302994,
      0.015806018004682152,
      0.015607595415429798,
      0.015411562034219313,
      0.01521788902105658,
      0.015026547982897,
      0.014837510817686628,
      0.014650749807779261,
      0.01446623747307968,
      0.014283946628480506,
      0.014103850557424153,
      0.0139259228113376,
      0.013750137303397074,
      0.013576468199715643,
      0.013404890053433883,
      0.013235377679305965,
      0.013067906163163005,
      0.012902451025054253,
      0.012738987906813708,
      0.01257749287102971,
      0.012417942116081512,
      0.012260312283795639,
      0.012104580253152942,
      0.01195072313217924,
      0.011798718435587928,
      0.011648543805408461,
      0.011500177177998741,
      0.011353596792701174,
      0.011208781157387153,
      0.011065709008712368,
      0.010924359336838215,
      0.010784711417402355,
      0.010646744762116456,
      0.010510439133798505,
      0.01037577457491962,
      0.010242731272236865,
      0.010111289727102056,
      0.009981430602467636,
      0.009853134850808715,
      0.009726383715509792,
      0.009601158568290328,
      0.00947744105871629,
      0.009355212965862426,
      0.009234456330413478,
      0.009115153524040107,
      0.008997287021246778,
      0.008880839572394189,
      0.00876579407850914,
      0.008652133658054223,
      0.008539841637711005,
      0.008428901525274389,
      0.008319297002047614,
      0.008211012017896415,
      0.008104030734631378,
      0.007998337412865871,
      0.007893916553877901
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567864207837653,
      10.340449790641689,
      10.106430739491818,
      9.868420263770666,
      9.628613049723086,
      9.38894503455293,
      9.151068750898158,
      8.916376989614038,
      8.686010469378772,
      8.460842246749731,
      8.24147914815939,
      8.028275872503292,
      7.821358233677392,
      7.620655047538859,
      7.425935408793023,
      7.2368443421241695,
      7.052938473695068,
      6.873719156150162,
      6.698660266668972,
      6.527233286079083,
      6.358929109914648,
      6.1932743773926955,
      6.029841931096268,
      5.8682652299590075,
      5.708252110922716,
      5.549581995428716,
      5.392103466348902,
      5.235736127463693,
      5.080473582561586,
      4.926386566296878,
      4.77360420293757,
      4.622301433360831,
      4.472714968925681,
      4.325136897121747,
      4.179903220654333,
      4.0373820100445705,
      3.897971826578995,
      3.762089979856205,
      3.6301372448892257,
      3.502483312766479,
      3.37945775620911,
      3.261343573220549,
      3.148372519691525,
      3.04072177448298,
      2.938513560411168,
      2.841815686783662,
      2.750636004764669,
      2.6649320543049315,
      2.5846106397755757,
      2.5095223716819213,
      2.4394557907393035,
      2.3741603827555022,
      2.3133598109631843,
      2.256755505546573,
      2.2040231298103294,
      2.1547980541901604,
      2.1086811082110932,
      2.0652993771029626,
      2.02431093389333,
      1.9853797632699308,
      1.9482132533848453,
      1.9125826149575713,
      1.8783092955309981,
      1.8452502157437947,
      1.8132878447825922,
      1.7823203357033484,
      1.752263009027242,
      1.7230476048897834,
      1.6946179916086228,
      1.6669254877157131,
      1.6399259983392007,
      1.613581801523105,
      1.5878604213655787,
      1.562733345301359,
      1.5381751079392048,
      1.5141626341878673,
      1.4906747648751564,
      1.467691911546494,
      1.445195802441375,
      1.4231692930191209,
      1.401596221964702,
      1.3804613004357282,
      1.359750534460304,
      1.3394511345123743,
      1.3195506840279185,
      1.3000371157852606,
      1.280898778582096,
      1.262124900463919,
      1.243705313381587,
      1.225630026596712,
      1.2078892928649088,
      1.190473647571099,
      1.1733739304026845,
      1.1565812951501921,
      1.1400872114804412,
      1.1238838239661306,
      1.107964332774033,
      1.0923224071059146,
      1.0769516643624577,
      1.0618456461146042,
      1.0469979174133006,
      1.0324021318153376,
      1.0180520726225095,
      1.003941679117421,
      0.9900650614201668,
      0.9764165075192849,
      0.9629903316698933,
      0.9497809395444504,
      0.9367830033333356,
      0.9239914310463629,
      0.9114020963550885,
      0.8990115915861986,
      0.8868162699629685,
      0.8748123305927202,
      0.8629959084555809,
      0.8513631353617438,
      0.8399101791860463,
      0.828633269306446,
      0.8175287127342217,
      0.8065929037244196,
      0.7958223288247507,
      0.785213798900935,
      0.7747653514810995,
      0.7644751507356427,
      0.754340951613344,
      0.7443602611101064,
      0.7345304458522995,
      0.7248488034708247,
      0.7153126107495867,
      0.7059191142981234,
      0.6966650776279463,
      0.687547079900127,
      0.6785619998820154,
      0.6697069633790803,
      0.6609792847070495,
      0.6523764266903012,
      0.6438959716467345,
      0.6355356015980386,
      0.6272930836778692,
      0.619166259801695,
      0.6111530388341555,
      0.6032513906645369,
      0.5954593416313466,
      0.5877749710452824,
      0.5801964080273401,
      0.5727218293052113,
      0.5653494569057818,
      0.558077556439009,
      0.550904435216996,
      0.5438284409281483,
      0.5368479599319461,
      0.5299614159450559,
      0.5231672690991728,
      0.516464014513329,
      0.5098501811998081,
      0.5033243309541878,
      0.4968850573615919,
      0.49053098484825763,
      0.4842607678602626,
      0.47807308971611373,
      0.4719666617227207,
      0.4659402224817609,
      0.4599925372393804,
      0.4541223966720697,
      0.44832861653651035,
      0.44261003668616883,
      0.43696552067889716,
      0.43139395480948994,
      0.4258942475348455,
      0.4204653289400213,
      0.4151061500690252,
      0.40981568240259686,
      0.4045929174097099,
      0.3994368656660814,
      0.3943465566857059,
      0.3893210382473992,
      0.3843593760319429,
      0.3794606530632221,
      0.37462396928520925,
      0.369848441022472,
      0.36513310087656925,
      0.36047678759467994,
      0.35587841317651575,
      0.35133699055233136,
      0.3468516066508552,
      0.3424214033847497,
      0.33804556474499287,
      0.3337233075563345,
      0.32945387513698016,
      0.32523653272289266,
      0.32107056405722856,
      0.3169552693879574,
      0.31288996362251076,
      0.308873974989942,
      0.3049066443481369,
      0.30098732439620457,
      0.29711537891919537,
      0.29329018267339085,
      0.28951112069247514,
      0.2857776104232635,
      0.2820892151046175,
      0.27844552711433573,
      0.2748460876075634,
      0.27129064621136145,
      0.2677790648153151,
      0.2643110886483006,
      0.2608864449222651,
      0.2575048173259389,
      0.2541658118306416,
      0.25086898315669365,
      0.24761397010057037,
      0.2444007013463488,
      0.24122903441400614,
      0.2380986937543772,
      0.2350093138364475,
      0.2319604700418716,
      0.22895169986575242,
      0.22598251741663097,
      0.2230524232428065,
      0.2201609422851988,
      0.21730764643417483,
      0.21449208986716684,
      0.21171380767735407,
      0.20897232428792226,
      0.20626715933097314,
      0.2035978315348931,
      0.20096386134808308,
      0.1983647725513216,
      0.19580009353972444,
      0.19326935789755692,
      0.19077210507061626,
      0.18830788038826898,
      0.18587623528813677,
      0.18347672751596725,
      0.1811089209958338,
      0.17877238588032668,
      0.17646669836072781,
      0.17419144088643074,
      0.17194620187816342,
      0.16973057568492253,
      0.16754416242255982,
      0.16538656804332483,
      0.1632574040706446,
      0.16115628757780598,
      0.15908284107941448,
      0.15703669252011032,
      0.15501747515747996,
      0.15302482744034218,
      0.15105839288858816,
      0.14911782019110237,
      0.14720276287913336,
      0.14531287944625457,
      0.14344783312621873,
      0.14160729191387142,
      0.13979092843397303,
      0.13799841989441106,
      0.13622944812916862,
      0.13448369922866588,
      0.13276086368595058,
      0.1310606363076579,
      0.12938271624035783,
      0.12772680675587184,
      0.12609261517644774,
      0.12447985280626438,
      0.12288823503440222,
      0.12131748112644004,
      0.11976731420646786,
      0.11823746130226062,
      0.11672765307227419,
      0.11523762387529286,
      0.11376711175637509,
      0.11231585831159212,
      0.11088360866603912,
      0.10947011138702938,
      0.10807511851703908,
      0.10669838543371422,
      0.10533967082266063,
      0.10399871511488479,
      0.10267524961631627,
      0.1013690203565353,
      0.10007978465165593,
      0.09880730842400956,
      0.0975513643810211,
      0.0963117306831586,
      0.09508819021716979,
      0.0938805300069971,
      0.09268854066527801,
      0.09151201616921414,
      0.09035075367378344,
      0.08920455327917415,
      0.08807321796111534,
      0.08695655333972087,
      0.08585436773757858,
      0.08476647210779016,
      0.08369267994207587,
      0.08263280725221583,
      0.0815866723882778,
      0.08055409629804407,
      0.0795349023057351,
      0.07852891599825852,
      0.07753596526540807,
      0.07655588035202598,
      0.07558849369561704,
      0.07463363996945258,
      0.07369115602551682,
      0.07276088088669362,
      0.07184265560382809,
      0.07093632342863158,
      0.07004172964174644,
      0.06915872161392028,
      0.06828714869050441,
      0.06742686216565699,
      0.06657771530555812,
      0.06573956329894778,
      0.06491226331990944,
      0.06409567433085304,
      0.0632896571338783,
      0.062494074397055364,
      0.06170879052861937,
      0.060933671818723154,
      0.06016858626661884,
      0.05941340355736851,
      0.05866799515026398,
      0.05793223422069168,
      0.057205995573749675,
      0.056489155522561035,
      0.055781592141041475,
      0.055083185078347224,
      0.05439381428865487,
      0.053713328189113514,
      0.05304156123868551,
      0.052378366492340914,
      0.0517236100817748,
      0.051077167674706596,
      0.05043892194711926,
      0.04980876067760234,
      0.04918657565651215,
      0.048572261919116635,
      0.04796571700719936,
      0.04736684069825867,
      0.046775534552459884,
      0.046191701809930194,
      0.04561524723085341,
      0.045046076998774394,
      0.044484098590923046,
      0.043929220787367274,
      0.0433813535576529,
      0.04284040805725249,
      0.042306296615544484,
      0.0417789327250851,
      0.04125823097522144,
      0.040744107021695314,
      0.040236477623519715,
      0.03973526070044399,
      0.03924037505746222,
      0.038751740516778994,
      0.038269278111045656,
      0.03779290977843378,
      0.037322558455783784,
      0.03685813253813434,
      0.03639952267220164,
      0.0359466289131778,
      0.03549936097322994,
      0.035057635668243305,
      0.03462137501577159,
      0.0341905048523369,
      0.03376495406700536,
      0.033344656091532594,
      0.03292954741650447,
      0.03251956490698014,
      0.0321146459219444,
      0.03171472840024332,
      0.03131975081852374,
      0.030929652459649397,
      0.0305443731245676,
      0.030163853304039024,
      0.029788034340527333,
      0.029416858058791608,
      0.029050267161886523,
      0.028688204959333077,
      0.028330615504863613,
      0.02797744343166214,
      0.027628634139771735,
      0.027284133760549712,
      0.026943889025480085,
      0.026607847289972085,
      0.026275956715295156,
      0.025948165941739456,
      0.025624424218476122,
      0.025304681529189084,
      0.024988888466310397,
      0.0246769962222617,
      0.024368956525337285,
      0.024064721813573553,
      0.023764245022916585,
      0.023467479733767446,
      0.023174380110016383,
      0.022884900853273594,
      0.02259899712072465,
      0.022316624801283085,
      0.0220377402599762,
      0.021762300389789074,
      0.02149026272905109,
      0.021221585142279262,
      0.02095622603063114,
      0.020694144474159275,
      0.02043529997603558,
      0.020179652513795898,
      0.019927162560706153,
      0.019677791083444814,
      0.019431499497343855,
      0.019188249852316354,
      0.018948004575915424,
      0.01871072654239606,
      0.018476379105249324,
      0.018244917482972554,
      0.018016289445940553,
      0.0177904477836599,
      0.01756734967948287,
      0.017346955639755933,
      0.017129228403934403,
      0.016914132480546337,
      0.016701633976365485,
      0.016491699992646734,
      0.01628429852202193,
      0.01607939823370476,
      0.015876968395167782,
      0.01567697878350887,
      0.015479399700564922,
      0.015284201958203595,
      0.015091356763828591,
      0.014900835505780374,
      0.014712610149970851,
      0.014526653034533092,
      0.014342936767713711,
      0.014161434368422854,
      0.013982119033299198,
      0.013804964445083846,
      0.013629944535669748,
      0.013457033581232037,
      0.01328620611385909,
      0.013117437025296323,
      0.012950701570258865,
      0.01278597519938387,
      0.012623233691866813,
      0.012462453219658456,
      0.012303610088315167,
      0.012146680962190036,
      0.01199164276672014,
      0.011838472737666774,
      0.011687148344577071,
      0.011537647393157418,
      0.011389947900101038,
      0.011244028076762419,
      0.011099866523637047,
      0.010957442000007426,
      0.010816733569605313,
      0.01067772056308172,
      0.010540382579572159,
      0.01040469943833496,
      0.010270651188728311,
      0.010138218063822722,
      0.01000738066345889,
      0.009878119827197655,
      0.009750416502132639,
      0.009624251903290368,
      0.009499607427235683,
      0.009376464808156586,
      0.009254805950595298,
      0.009134612947579753,
      0.00901586816313228,
      0.008898554169259307,
      0.00878265370305257,
      0.008668149713461462,
      0.008555025370559691,
      0.008443264158834146,
      0.008332849570387936,
      0.00822376539009126,
      0.008115995600134145,
      0.008009524304449428,
      0.007904335831713046,
      0.0078004147247764865
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56785527137598,
      10.34042092214894,
      10.106374333169228,
      9.868332091427744,
      9.628490702717837,
      9.388787476609119,
      9.15087622293716,
      8.916150289036096,
      8.685750769564072,
      8.460550942603177,
      8.241157612700086,
      8.027925316241344,
      7.820979667092562,
      7.62024929569076,
      7.425503054580171,
      7.236385733449689,
      7.052453763520062,
      6.873208206079051,
      6.698122593096301,
      6.526668437037725,
      6.358336725518141,
      6.192654287038535,
      6.0291942383339885,
      5.867590413058519,
      5.70755099869658,
      5.5488557740012965,
      5.391353733617608,
      5.234964933586096,
      5.079683366189849,
      4.9255801556048695,
      4.772784990328674,
      4.621473237796829,
      4.471881896532829,
      4.3243032816434805,
      4.179073547832456,
      4.036560867744499,
      3.897164328877995,
      3.7613012416046687,
      3.6293719940528137,
      3.501745814326208,
      3.37875175002452,
      3.2606721881367324,
      3.147738275925881,
      3.040126595953944,
      2.9379587804686746,
      2.8413018283410243,
      2.75016297089916,
      2.664498890417075,
      2.5842154456037423,
      2.5091622607812334,
      2.4391272843437215,
      2.3738597716924086,
      2.313083320448144,
      2.256499211105028,
      2.203782859343989,
      2.1545694250347744,
      2.108459855978234,
      2.0650817898022855,
      2.0240935267517606,
      1.9851595921519527,
      1.9479880814144828,
      1.9123508175864634,
      1.8780697227293581,
      1.8450020583799909,
      1.813030516664208,
      1.7820533961958998,
      1.7519862138781968,
      1.722760850672832,
      1.6943212756090804,
      1.666618918138166,
      1.6396097376482262,
      1.6132560309613346,
      1.587525334920063,
      1.5623891435743735,
      1.5378219949265475,
      1.5138008139629773,
      1.490304439803545,
      1.46731328105981,
      1.4448090622134568,
      1.4227746340297995,
      1.4011938301070455,
      1.380051356915233,
      1.3593332345301041,
      1.3390266715011965,
      1.319119240054371,
      1.299598863569286,
      1.280453908640841,
      1.261673632372785,
      1.2432478406331413,
      1.2251665239128953,
      1.2074199206883385,
      1.1899985557200297,
      1.1728932605319524,
      1.1560951819156151,
      1.1395957839812934,
      1.1233872344265226,
      1.1074627392000902,
      1.0918159630137922,
      1.0764405091850995,
      1.0613299084341463,
      1.0464777177389808,
      1.031877584553796,
      1.017523286782389,
      1.003408759732151,
      0.9895281102646574,
      0.9758756237313544,
      0.9624457004431594,
      0.9492327524673042,
      0.9362314170378534,
      0.9234366213688494,
      0.9108443699832042,
      0.8984512165907711,
      0.8862534512576619,
      0.8742472288951972,
      0.8624286544235783,
      0.8507938385247326,
      0.8393389341836387,
      0.8280601603618487,
      0.816953816880926,
      0.8060162923859098,
      0.7952440695311647,
      0.784634099617205,
      0.7741846003287747,
      0.7638936233493643,
      0.7537588478023927,
      0.7437777291050061,
      0.7339475987029556,
      0.7242657302827132,
      0.7147293839825688,
      0.7053358115850203,
      0.6960817931394079,
      0.6869638906063229,
      0.6779789694197242,
      0.6691241460987938,
      0.6603967286178646,
      0.6517941749801175,
      0.6433140642836153,
      0.634954076151793,
      0.6267119760769603,
      0.6185856046978615,
      0.6105728697531031,
      0.6026717402234011,
      0.5948802416455342,
      0.5871964526270401,
      0.579618501803481,
      0.5721445655003989,
      0.5647728651899703,
      0.5575016659459573,
      0.5503292746572371,
      0.5432540383899667,
      0.5362743429297755,
      0.5293886116389771,
      0.5225953041518249,
      0.5158929151949855,
      0.5092799732329277,
      0.5027550397075342,
      0.4963167078348587,
      0.4899636016512761,
      0.48369437508448804,
      0.47750771090183664,
      0.4714023200235366,
      0.4653769407983397,
      0.4594303378901378,
      0.4535613014906234,
      0.4477686468868749,
      0.4420512135997963,
      0.43640786460537556,
      0.4308374857427505,
      0.4253389850581125,
      0.41991129229118196,
      0.41455335812494454,
      0.40926415363333857,
      0.40404266964986396,
      0.39888791641499843,
      0.39379892307245307,
      0.38877473716950095,
      0.3838144238830932,
      0.3789170657869675,
      0.37408176242416535,
      0.3693076297631418,
      0.3645936686945127,
      0.35993871447240877,
      0.3553416899793791,
      0.3508016156889123,
      0.3463175836994951,
      0.34188873941043274,
      0.33751426908452425,
      0.3331933910290745,
      0.328925349462549,
      0.3247094099781117,
      0.3205448566660888,
      0.31643098986965285,
      0.31236712438834235,
      0.3083525883290838,
      0.304386722334036,
      0.30046887880376455,
      0.2965984213420007,
      0.29277472425701967,
      0.2889971722205625,
      0.28526520071106753,
      0.2815783992037058,
      0.27793634507732,
      0.27433858674595735,
      0.27078489185868837,
      0.2672751057549128,
      0.2638089713034173,
      0.2603862160127123,
      0.25700650982570794,
      0.25366944917150025,
      0.25037458203083224,
      0.2471216809553801,
      0.2439106932418904,
      0.24074142183334318,
      0.23761355221735528,
      0.23452669200451626,
      0.231480398171364,
      0.22847419546744366,
      0.2255075891865726,
      0.2225800922387303,
      0.21969129601903353,
      0.2168407585038027,
      0.21402800519601295,
      0.2112525516836921,
      0.2085139090910609,
      0.20581158804825606,
      0.203145101131077,
      0.2005139646206019,
      0.19791769947497068,
      0.19535583198870718,
      0.1928278944603171,
      0.190333425400394,
      0.18787196957472246,
      0.1854430780093405,
      0.18304630812397352,
      0.18068122380398255,
      0.17834739506743882,
      0.17604439807776437,
      0.17377181514548784,
      0.17152923461825564,
      0.16931625084307592,
      0.1671324639658354,
      0.1649774798665856,
      0.16285091004609945,
      0.16075237166710202,
      0.15868148726099998,
      0.1566378847795569,
      0.15462119750897427,
      0.15263106383935587,
      0.15066712739834898,
      0.14872903683697627,
      0.14681644571863992,
      0.14492901256225182,
      0.14306640065782228,
      0.141228277997842,
      0.1394143172796252,
      0.13762419574323653,
      0.13585759516335916,
      0.1341142016827582,
      0.13239370587514088,
      0.13069580257997346,
      0.1290201909092584,
      0.12736657414044647,
      0.12573465967940137,
      0.12412415889001893,
      0.12253478715897724,
      0.12096626380140912,
      0.11941831206825096,
      0.11789065893066561,
      0.11638303511832492,
      0.11489517506795247,
      0.11342681676306314,
      0.11197770190345843,
      0.11054757567347823,
      0.10913618668696647,
      0.10774328702003776,
      0.10636863211547486,
      0.1050119808257036,
      0.10367309166473633,
      0.10235170321656815,
      0.1010475532598759,
      0.09976039347761995,
      0.09848998588210299,
      0.09723610059662413,
      0.09599851408095919,
      0.09477700802219097,
      0.09357136864560643,
      0.09238138608642626,
      0.09120685401107229,
      0.0900475693208749,
      0.08890333203914133,
      0.08777394497391056,
      0.08665921376586048,
      0.08555894671098484,
      0.08447295490123938,
      0.08340105187904795,
      0.08234305364706836,
      0.08129877874401556,
      0.08026804807525918,
      0.07925068495863988,
      0.07824651511198694,
      0.07725536654447994,
      0.07627706955172442,
      0.07531145662686711,
      0.07435836247177725,
      0.07341762411181475,
      0.07248908053554041,
      0.07157257290787478,
      0.0706679445524193,
      0.06977504076382633,
      0.06889370895160213,
      0.06802379864233526,
      0.06716516120661414,
      0.06631764996496405,
      0.06548112024992271,
      0.06465542920211054,
      0.06384043586884444,
      0.06303600116662142,
      0.06224198784420981,
      0.06145826044958726,
      0.06068468529984058,
      0.05992113045839359,
      0.059167465756358804,
      0.05842356269035337,
      0.05768929444103761,
      0.05696453595529167,
      0.05624916372622369,
      0.055543055795632124,
      0.05484609179372899,
      0.054158153052068836,
      0.05347911079799531,
      0.05280880104226793,
      0.05214706879114245,
      0.05149377465867281,
      0.05084879048993888,
      0.05021199636392306,
      0.049583278330797495,
      0.048962527015572126,
      0.04834963660146175,
      0.04774450411060973,
      0.04714702888629679,
      0.04655711239902028,
      0.04597465777432574,
      0.04539956973121345,
      0.044831754421416764,
      0.04427111929346115,
      0.04371757316515108,
      0.04317102600227185,
      0.042631389102396604,
      0.04209857486103143,
      0.04157249680248651,
      0.04105306962168242,
      0.04054020904896256,
      0.04003383193205554,
      0.03953385623643441,
      0.0390402008368686,
      0.038552785732459155,
      0.03807153193810782,
      0.03759636156776824,
      0.0371271975082499,
      0.036663963764307604,
      0.036206573213532926,
      0.03575491836813257,
      0.035308899494153625,
      0.03486842689855072,
      0.03443341801260279,
      0.034003795482444456,
      0.03357948611978801,
      0.03316042179250038,
      0.032746538004587065,
      0.03233777088672261,
      0.03193405738593585,
      0.03153533522279275,
      0.03114154275291836,
      0.030752619050666053,
      0.030368503896659075,
      0.02998913788299781,
      0.02961446219970307,
      0.029244418780284245,
      0.028878950373709425,
      0.02851800036178843,
      0.02816151284952197,
      0.02780943261812906,
      0.027461705214478042,
      0.027118276699773847,
      0.026779093842583757,
      0.026444104168142326,
      0.026113255800747297,
      0.025786497451530044,
      0.025463778663089864,
      0.025145049478375626,
      0.024830260486785525,
      0.02451936299349451,
      0.024212308765094795,
      0.023909050279624786,
      0.02360954066792069,
      0.02331373349816489,
      0.02302158303295983,
      0.022733043961219238,
      0.0224480716023682,
      0.022166621896634126,
      0.021888651251703823,
      0.021614116734525405,
      0.02134297584580485,
      0.02107518654431748,
      0.020810707368625284,
      0.020549497401757995,
      0.020291516250744976,
      0.020036723926648035,
      0.019785080986804243,
      0.01953654857104393,
      0.019291088204874317,
      0.019048661896915974,
      0.018809232123395983,
      0.018572761853009254,
      0.018339214465210932,
      0.01810855381041311,
      0.01788074418261272,
      0.017655747401079742,
      0.01743351426897279,
      0.017213996696763004,
      0.01699715141091984,
      0.01678293891303868,
      0.016571322205419327,
      0.016362266353444413,
      0.01615573792910626,
      0.015951704587129495,
      0.015750134957370314,
      0.01555099843278598,
      0.015354265087588243,
      0.015159905439036747,
      0.014967890503632604,
      0.014778191753387565,
      0.014590781086650644,
      0.0144056308004832,
      0.014222713590344384,
      0.014042002417451687,
      0.01386347066354518,
      0.013687092039193565,
      0.013512840601624327,
      0.013340690601987722,
      0.013170616696103525,
      0.0130025937686242,
      0.012836597095453458,
      0.012672602246635366,
      0.012510585175094688,
      0.012350522001370804,
      0.012192389136250623,
      0.01203616325821444,
      0.011881821336318418,
      0.011729340698969639,
      0.011578698995953433,
      0.011429873887940395,
      0.011282843601445266,
      0.011137586423438236,
      0.01099408102339385,
      0.010852306223213039,
      0.010712241041326042,
      0.010573864941289828,
      0.010437157517238014,
      0.010302098666018169,
      0.010168668533680422,
      0.010036847406496076,
      0.00990661591997108,
      0.009777954868402775,
      0.009650845332975038,
      0.009525268696572588,
      0.009401206392585196,
      0.009278640182070428,
      0.009157551992878743,
      0.009037924046144105,
      0.00891973867185644,
      0.008802978564047591,
      0.008687626439238871,
      0.008573665255064051,
      0.008461078333991711,
      0.00834984911351885,
      0.008239961144710274,
      0.008131398288589437,
      0.008024144588961377,
      0.007918184337192666,
      0.00781350185785184,
      0.007710081739826861
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567846376209133,
      10.340392182246404,
      10.106318177453407,
      9.86824428724695,
      9.62836881606141,
      9.388630448476587,
      9.150684277508502,
      8.915924207524116,
      8.685491709791988,
      8.460260287101672,
      8.240836684553983,
      8.02757504402087,
      7.820600874734029,
      7.619842851699314,
      7.4250695975930086,
      7.235925662841661,
      7.051967274859475,
      6.8726951450060305,
      6.697582511755203,
      6.526100914814733,
      6.357741429331386,
      6.1920310691822555,
      6.028543221591058,
      5.8669120938448724,
      5.706846223161467,
      5.5481257436512,
      5.390600059318049,
      5.234189676202707,
      5.078888975003231,
      4.924769471091485,
      4.771961413828604,
      4.620640597410212,
      4.471044308761949,
      4.323465090964549,
      4.178239251233216,
      4.035735065443633,
      3.896352162165172,
      3.760507837758154,
      3.6286020928622564,
      3.5010036915391485,
      3.3780411551773226,
      3.259996259369239,
      3.1470995421946606,
      3.039526988413174,
      2.9373996383131313,
      2.8407836795479184,
      2.7496857216977926,
      2.6640615978461737,
      2.583816225938777,
      2.5087982429914053,
      2.4387950040374258,
      2.3735555324784934,
      2.312803359953453,
      2.256239613520876,
      2.203539436383922,
      2.154337781548723,
      2.1082357319957548,
      2.0648614762073754,
      2.023873538992937,
      1.9849369834978892,
      1.9477606116744115,
      1.9121168589158521,
      1.8778281216897421,
      1.8447520024899338,
      1.8127714159224915,
      1.7817848050279208,
      1.7517078838793692,
      1.7224726749349597,
      1.6940232478239736,
      1.6663111424283834,
      1.6392923728518178,
      1.6129292560408026,
      1.5871893409186255,
      1.5620441288320015,
      1.537468160252191,
      1.5134383607120039,
      1.4899335680600416,
      1.4669341879195057,
      1.4444219412812367,
      1.4223796747532922,
      1.4007912172966128,
      1.379641270292456,
      1.358915867272461,
      1.338602214129101,
      1.3186878726309943,
      1.2991607573182655,
      1.2800092520833708,
      1.2612226438180414,
      1.242790712638764,
      1.2247034301985982,
      1.2069510206856606,
      1.1895239978783492,
      1.1724131845310863,
      1.1556097210050218,
      1.1391050661220066,
      1.1228914105703087,
      1.1069619667654398,
      1.0913103943971543,
      1.0759302822224164,
      1.0608151509584105,
      1.0459585493950403,
      1.0313541184153938,
      1.016995631432501,
      1.0028770196201187,
      0.9889923863242088,
      0.9753360138001177,
      0.9619023513156245,
      0.9486858670221735,
      0.9356811593178025,
      0.9228832163908275,
      0.9102881497432483,
      0.8978924287768814,
      0.8856922864563128,
      0.8736838384030865,
      0.8618631618709927,
      0.8502263485381754,
      0.838769537952578,
      0.8274889396471532,
      0.8163808463717148,
      0.8054416421393705,
      0.7946678058213918,
      0.7840565464252415,
      0.7736061034162672,
      0.7633144302804377,
      0.7531791393892798,
      0.7431976406781431,
      0.7333672344642139,
      0.7236851734491473,
      0.7141487030763165,
      0.704755081350109,
      0.695501105999885,
      0.6863833222609041,
      0.6773985825268267,
      0.6685439940661313,
      0.6598168584420776,
      0.6512146292215263,
      0.642734882486469,
      0.6343752957150175,
      0.6261336325525115,
      0.6180077323565379,
      0.6099955018098888,
      0.6020949089770284,
      0.5943039786854282,
      0.5866207888794751,
      0.5790434677736925,
      0.5715701910492771,
      0.5641991796599053,
      0.5569286980499143,
      0.5497570527427187,
      0.5426825903396766,
      0.5357036963104798,
      0.5288187936406917,
      0.5220263413933462,
      0.5153248338279619,
      0.5087127990144338,
      0.5021887978118678,
      0.4957514229136943,
      0.4893992980395842,
      0.4831310765432651,
      0.4769454408890352,
      0.4708411015777705,
      0.4648167964171579,
      0.45887128950405365,
      0.4530033707619481,
      0.44721185491844745,
      0.44149558104521186,
      0.4358534118243951,
      0.4302842326979846,
      0.42478695128291294,
      0.41936049680150134,
      0.41400381950401166,
      0.4087158900861983,
      0.40349569905292815,
      0.3983422563868191,
      0.3932545907351513,
      0.38823174898153306,
      0.3832727959500302,
      0.37837681383728056,
      0.3735429017299042,
      0.3687701753613076,
      0.364057604438401,
      0.35940402043585545,
      0.3548083573669923,
      0.350269643191934,
      0.3457869749445624,
      0.3413595014545352,
      0.33698641117414224,
      0.33266692383565366,
      0.3284002844735515,
      0.3241857592706863,
      0.320022632578996,
      0.3159102046611248,
      0.31184779024813974,
      0.3078347173625622,
      0.30387032639174916,
      0.2999539694476845,
      0.2960850098348245,
      0.2922628215735779,
      0.2884867890438723,
      0.28475638011773224,
      0.28107119105326894,
      0.2774307859153477,
      0.2738347213948878,
      0.27028278384035054,
      0.26677480236796036,
      0.2633105179219056,
      0.25988965868777525,
      0.25651188102386935,
      0.25317677177226666,
      0.24988392913173219,
      0.2466332345395486,
      0.24342459296980765,
      0.240257760571183,
      0.2371323905882233,
      0.23404806849070894,
      0.23100433588731514,
      0.228000707028919,
      0.2250366799736977,
      0.2221118335368908,
      0.21922577941133284,
      0.2163780360165787,
      0.21356810716330152,
      0.21079549365988307,
      0.20805969654358944,
      0.20536021954754297,
      0.20269657059715124,
      0.20006826267289757,
      0.19747481460298613,
      0.19491575136982495,
      0.1923906041736019,
      0.18989891076238935,
      0.18744021542022823,
      0.18501406902024473,
      0.18262002878755437,
      0.18025765826756265,
      0.17792652741073767,
      0.17562621239324444,
      0.17335629541428124,
      0.17111636482650516,
      0.16890601491284682,
      0.16672484586975495,
      0.1645724635951827,
      0.1624484795810838,
      0.1603525109792959,
      0.15828418037738162,
      0.15624311570347416,
      0.15422895026058658,
      0.15224132251448824,
      0.15027987606806797,
      0.14834425956721603,
      0.14643412663392621,
      0.14454913578797488,
      0.14268895029396472,
      0.1408532382126593,
      0.13904167225704242,
      0.13725392971249686,
      0.13548969234544944,
      0.13374864644006262,
      0.13203048255576005,
      0.1303348954951237,
      0.12866158443109527,
      0.1270102526277007,
      0.1253806075364339,
      0.12377236063194401,
      0.12218522734947118,
      0.12061892710509438,
      0.11907318316290166,
      0.117547722482825,
      0.1160422757840996,
      0.11455657750613275,
      0.11309036572424591,
      0.11164338214111587,
      0.11021537200730636,
      0.10880608402184651,
      0.1074152703713825,
      0.10604268648208066,
      0.1046880911321259,
      0.10335124646091541,
      0.1020319110852236,
      0.10072982240318877,
      0.09944472452083201,
      0.09817637435013751,
      0.09692453848001527,
      0.09568899108238318,
      0.09446951232330858,
      0.09326588734989001,
      0.09207790551764768,
      0.09090536004016585,
      0.08974804757654409,
      0.08860576793289435,
      0.08747832373039759,
      0.08636552061143297,
      0.08526716699214888,
      0.08418307378350286,
      0.08311305460778147,
      0.0820569256306564,
      0.08101450531618624,
      0.07998561475007329,
      0.07897007736139605,
      0.07796771889470291,
      0.07697836730771676,
      0.07600185299193225,
      0.0750380085057844,
      0.07408666863698082,
      0.07314767046977458,
      0.07222085308844087,
      0.07130605777780365,
      0.07040312792975752,
      0.06951190894168201,
      0.06863224834146972,
      0.06776399563746009,
      0.06690700224559089,
      0.06606112164620108,
      0.06522620921781075,
      0.064402122080973,
      0.06358871948308308,
      0.06278586247501455,
      0.061993413801816034,
      0.06121123810469542,
      0.06043920171028411,
      0.05967717283328744,
      0.058925021318643855,
      0.058182618765124684,
      0.05744983842344348,
      0.05672655519576187,
      0.05601264571157772,
      0.055307988219019034,
      0.054612462428376744,
      0.05392594971737789,
      0.05324833301174121,
      0.05257946628221448,
      0.051919185747374655,
      0.05126734550168345,
      0.05062381291554487,
      0.04998846485397986,
      0.04936118529984145,
      0.048741863456099335,
      0.048130392555393656,
      0.047526668882455554,
      0.04693059143470639,
      0.04634206129732193,
      0.045760981551719114,
      0.04518725680310891,
      0.044620793124354186,
      0.044061498081975806,
      0.043509280519494396,
      0.042964050437948306,
      0.042425719192839516,
      0.04189419914886109,
      0.041369403965310574,
      0.04085124841866353,
      0.040339648347376376,
      0.0398345206579388,
      0.0393357832935794,
      0.03884335530888066,
      0.03835715675766611,
      0.03787710873753756,
      0.03740313331431705,
      0.03693515352019157,
      0.036473093511435566,
      0.036016878301110083,
      0.035566425795746336,
      0.035121630537769594,
      0.03468239282630029,
      0.03424862321387405,
      0.03382023969262093,
      0.03339716566283331,
      0.03297933067672601,
      0.03256666865311864,
      0.03215911484283187,
      0.03175660536270434,
      0.0313590774201344,
      0.03096646907073114,
      0.03057871919893688,
      0.03019576757177152,
      0.029817554609691828,
      0.029444021506718078,
      0.029075110340775433,
      0.028710763891862168,
      0.028350925589957516,
      0.027995539494157656,
      0.027644550554195183,
      0.027297904324885817,
      0.026955547001513844,
      0.026617425498617762,
      0.026283487309060983,
      0.025953680715212535,
      0.025627954503888686,
      0.025306258153979876,
      0.024988541784892758,
      0.02467475616492937,
      0.024364852620414722,
      0.024058783099428258,
      0.02375650015561202,
      0.02345795686402212,
      0.023163106968141993,
      0.022871904756146203,
      0.022584305104389198,
      0.022300263408899255,
      0.022019735563307826,
      0.0217426781486957,
      0.02146904820616921,
      0.021198803354937616,
      0.020931901661244902,
      0.020668301672799434,
      0.020407962523650996,
      0.02015084394090889,
      0.019896906106083367,
      0.019646109639039646,
      0.01939841562817287,
      0.01915378560493128,
      0.018912181685958367,
      0.01867356637348622,
      0.018437902732902436,
      0.018205154286164406,
      0.017975284951400102,
      0.017748259124191867,
      0.017524041614346498,
      0.017302597660550444,
      0.017083892940374372,
      0.01686788525753755,
      0.016654525926151596,
      0.016443770833157595,
      0.016235579984373177,
      0.01602991641261057,
      0.01582674537153158,
      0.015626033722213765,
      0.015427749707940853,
      0.015231862537083153,
      0.01503834214794851,
      0.014847159281669062,
      0.014658285252944344,
      0.014471691818615042,
      0.014287351123962186,
      0.014105235809915708,
      0.013925318892960769,
      0.013747573722852057,
      0.013571974018169786,
      0.01339849376310233,
      0.013227107429868844,
      0.013057789713208087,
      0.012890515647402822,
      0.0127252605083179,
      0.012561999856384957,
      0.012400709637892504,
      0.012241366052440054,
      0.012083945656819159,
      0.011928425215739495,
      0.011774781795190752,
      0.011622992742439804,
      0.011473035711655371,
      0.011324888544349002,
      0.011178529475150157,
      0.011033936874601451,
      0.010891089387009887,
      0.010749965922861893,
      0.010610545741542743,
      0.010472808255479579,
      0.010336733127451737,
      0.010202300343413318,
      0.010069490057576222,
      0.009938282622830683,
      0.009808658710781104,
      0.009680599267659339,
      0.009554085363252422,
      0.009429098371035427,
      0.00930561985062927,
      0.009183631647118815,
      0.009063115705321468,
      0.008944054272498359,
      0.008826429796720027,
      0.008710224902704485,
      0.0085954224444563,
      0.00848200553337755,
      0.008369957389165239,
      0.008259261573095601,
      0.008149901719922156,
      0.008041861778895685,
      0.007935125734590666,
      0.007829677912968718,
      0.007725502735288195,
      0.007622584854343749
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567837521930285,
      10.340363568697098,
      10.106262265410512,
      9.86815683969275,
      9.628247375641765,
      9.3884739349685,
      9.150492900569391,
      8.915698735081621,
      8.685233274025308,
      8.4599702476002,
      8.24051628234322,
      8.02722511442263,
      7.8202220815494785,
      7.619435961822581,
      7.424635301071561,
      7.235464403519862,
      7.0514792890358855,
      6.872180221103589,
      6.697040242211634,
      6.5255309135150625,
      6.357143392512161,
      6.1914048738202245,
      6.027889011640132,
      5.8662303850826625,
      5.706137878625817,
      5.547391981068506,
      5.3898425044479366,
      5.233410403545539,
      5.0780904478005855,
      4.923954543333146,
      4.771133498350102,
      4.619803532922706,
      4.470202223298815,
      4.322622341286792,
      4.177400347828935,
      4.034904622516361,
      3.8955353341726946,
      3.7597097659375134,
      3.6278275299776035,
      3.500256925382292,
      3.3773259464675904,
      3.2593157571706493,
      3.1464562849329814,
      3.0389229156259785,
      2.93683609553215,
      2.8402612003112737,
      2.7492042173599818,
      2.6636201371689627,
      2.5834129401326087,
      2.5084302765133137,
      2.438458907957825,
      2.3732476240656037,
      2.3125198877253745,
      2.255976669902669,
      2.2032928369568667,
      2.154103130066002,
      2.1080087653044948,
      2.0646384806078486,
      2.023651023710042,
      1.9847119943392681,
      1.9475309020385931,
      1.91188079597087,
      1.8775845479483413,
      1.8445001012357107,
      1.8125105918086797,
      1.7815146070811778,
      1.7514280593484577,
      1.7221831134471834,
      1.6937239404687696,
      1.66600218983661,
      1.6389739299145112,
      1.6126014980559866,
      1.586852455978178,
      1.5616983123985415,
      1.5371136113690094,
      1.5130752789299065,
      1.4895621513834494,
      1.4665546318184728,
      1.4440344370860903,
      1.4219844091046796,
      1.4003883726964097,
      1.3792310247664883,
      1.3584984126731086,
      1.3381777402882016,
      1.3182565578923646,
      1.29872277108108,
      1.2795647813040987,
      1.260771904899267,
      1.2423338962532688,
      1.224240708107927,
      1.2064825509066277,
      1.1890499277912225,
      1.1719336533531122,
      1.1551248611690301,
      1.1386150042205079,
      1.1223962970125958,
      1.106461962973071,
      1.0908056497269192,
      1.0754209326721758,
      1.060301322097653,
      1.0454403593512847,
      1.030831679492451,
      1.016469050921581,
      1.002346400922069,
      0.9884578296194106,
      0.9747976161647047,
      0.9613602216946093,
      0.9481401932964675,
      0.9351321212375471,
      0.9223310493538538,
      0.9097331924525833,
      0.897334933854196,
      0.8851324473560456,
      0.8731218078948568,
      0.8612990647365214,
      0.8496602898317094,
      0.8382016089265208,
      0.8269192219149771,
      0.815809414723654,
      0.8048685662206708,
      0.7940931517446639,
      0.7834806373451879,
      0.773029284417602,
      0.7627369484502264,
      0.7526011751606096,
      0.742619328948307,
      0.7327886788968049,
      0.7231064560821696,
      0.7135698914745726,
      0.7041762408475122,
      0.6949223239714531,
      0.6858046781816224,
      0.6768201413655192,
      0.6679658108704437,
      0.6592389813613442,
      0.6506371016882015,
      0.6421577444614128,
      0.6337985842794555,
      0.6255573829938637,
      0.617431978759245,
      0.6094202771269931,
      0.6015202453724308,
      0.5937299076639295,
      0.5860473413071673,
      0.5784706737126417,
      0.5709980799908407,
      0.5636277807503897,
      0.5563580400302297,
      0.5491871636009912,
      0.542113497592699,
      0.5351354271000752,
      0.5282513745435069,
      0.5214597986571181,
      0.5147591931686398,
      0.5081480857376236,
      0.5016250369028658,
      0.4951886388672333,
      0.48883751476010173,
      0.48257031756899704,
      0.4763857293563081,
      0.4702824601797445,
      0.4642592473059552,
      0.45831485451755777,
      0.4524480712893531,
      0.4466577120148338,
      0.44094261536303775,
      0.43530164341262206,
      0.4297336812278066,
      0.424237635988686,
      0.4188124365693105,
      0.4134570327010491,
      0.40817039461410753,
      0.402951512421381,
      0.3977993956808567,
      0.3927130726539977,
      0.3876915899239603,
      0.38273401199391727,
      0.3778394205620613,
      0.3730069144162343,
      0.36823560872869326,
      0.3635244424582718,
      0.35887224353230407,
      0.3542779567679475,
      0.3497406174120571,
      0.34525932748761573,
      0.3408332392690232,
      0.336461543398986,
      0.3321434609841076,
      0.32787823798891325,
      0.32366514095571025,
      0.31950345450827605,
      0.31539247895226324,
      0.31133152903453726,
      0.3073199324846998,
      0.3033570294286704,
      0.29944217177126753,
      0.29557472254682154,
      0.2917540554908665,
      0.2879795547063176,
      0.2842507228273326,
      0.28056715962033835,
      0.276928416070871,
      0.27333405711045816,
      0.26978388795076214,
      0.26627772235825037,
      0.26281530340825204,
      0.25939635333128835,
      0.2560205155664294,
      0.2526873680388184,
      0.24939660153873905,
      0.24614816348621485,
      0.24294190285543923,
      0.23977753371606525,
      0.23665468026805583,
      0.23357290805652012,
      0.23053174499733808,
      0.2275306959062998,
      0.22456928519954433,
      0.22164716104634433,
      0.21876389624114964,
      0.21591897789932846,
      0.21311189326998853,
      0.21034213179046168,
      0.2076091868866334,
      0.2049125571121101,
      0.20225174677116492,
      0.19962626652470447,
      0.1970356335116608,
      0.1944793714822207,
      0.1919570110209612,
      0.18946808935199663,
      0.18701215040024669,
      0.18458874474029743,
      0.18219742942084619,
      0.17983776790594064,
      0.17750933013303805,
      0.1752116922689375,
      0.17294443650625255,
      0.1707071511420796,
      0.16849943041746157,
      0.1663208744294362,
      0.1641710891026881,
      0.1620496859855338,
      0.159956282283725,
      0.15789050057213916,
      0.15585196880083024,
      0.15384032022666555,
      0.15185519335336015,
      0.14989623179061298,
      0.14796308428035504,
      0.14605540443874943,
      0.14417285074739192,
      0.1423150865585129,
      0.1404817799300289,
      0.13867260359536307,
      0.136887234857933,
      0.13512535557568398,
      0.13338665200662617,
      0.13167081480147128,
      0.12997753885044078,
      0.12830652327684247,
      0.12665747144346387,
      0.12503009078789581,
      0.12342409283616872,
      0.12183919302548765,
      0.12027511073043276,
      0.11873156919307036,
      0.11720829556151946,
      0.11570502061001053,
      0.11422147884607164,
      0.11275740844539357,
      0.11131255116058539,
      0.10988665224804552,
      0.1084794604127482,
      0.10709072780902462,
      0.10572020999556266,
      0.10436766576830339,
      0.10303285734137572,
      0.10171555003056242,
      0.10041550033610842,
      0.09913244807680767,
      0.09786614324809396,
      0.09661634764511226,
      0.09538283215853052,
      0.09416537466367352,
      0.09296375889027658,
      0.09177777318616599,
      0.09060721010578626,
      0.0894518658101393,
      0.08831153988719229,
      0.0871860349044393,
      0.0860751563220049,
      0.08497871254341502,
      0.08389651454089142,
      0.08282837589090117,
      0.08177411279332197,
      0.0807335438138289,
      0.07970648997513487,
      0.0786927747997578,
      0.07769222407553118,
      0.07670466593154496,
      0.07572993081429752,
      0.07476785138002866,
      0.07381826253824658,
      0.07288100132848963,
      0.07195590691626355,
      0.07104282072053893,
      0.07014158623481329,
      0.06925204887182909,
      0.0683740561904588,
      0.06750745770083164,
      0.0666521050272061,
      0.06580785168663897,
      0.0649745530692807,
      0.06415206660350993,
      0.0633402514259248,
      0.06253896869420864,
      0.06174808128671748,
      0.06096745389393511,
      0.06019695297632199,
      0.05943644669077977,
      0.05868580501743468,
      0.057944899568675726,
      0.057213603795985765,
      0.05649179264319854,
      0.05577934280719674,
      0.055076132591201546,
      0.05438204179946572,
      0.05369695190445246,
      0.05302074586432075,
      0.05235329958563142,
      0.05169445490154054,
      0.051044057124222705,
      0.050401967648821995,
      0.049768059327572806,
      0.04914221326948722,
      0.04852431684242859,
      0.04791426202056046,
      0.047311944319242086,
      0.046717262131266514,
      0.04613011623977009,
      0.04555040939747562,
      0.04497804606314764,
      0.04441293226213832,
      0.0438549755197892,
      0.04330408464150741,
      0.04276016980325289,
      0.04222314227477392,
      0.04169291464048911,
      0.04116940055437111,
      0.040652514890409004,
      0.04014217353466009,
      0.039638293420313754,
      0.039140792658756224,
      0.038649590318799214,
      0.038164606575621526,
      0.03768576260306426,
      0.03721298051735325,
      0.03674618349959052,
      0.03628529568041614,
      0.03583024208895182,
      0.035380948814946564,
      0.03493733763731265,
      0.03449930768879526,
      0.0340667588351226,
      0.033639601708946414,
      0.03321775450097235,
      0.032801143196741774,
      0.032389699357609214,
      0.031983356510668956,
      0.03158204967941166,
      0.031185715362191817,
      0.03079429093403816,
      0.030407714987172017,
      0.030025927030571498,
      0.02964886745715118,
      0.029276477434591195,
      0.028908699006247037,
      0.02854547494067366,
      0.02818674868928204,
      0.027832464432138913,
      0.02748256713977213,
      0.027137002405313478,
      0.026795716521327104,
      0.026458656530405546,
      0.026125770052826514,
      0.025797005294727872,
      0.025472311297150933,
      0.025151637571079705,
      0.024834934268825794,
      0.024522152281525104,
      0.024213242932308855,
      0.023908158256536097,
      0.023606850858501102,
      0.023309273929442376,
      0.023015381318600016,
      0.022725127301646015,
      0.02243846692330065,
      0.02215535562385922,
      0.021875749421144355,
      0.021599604916139485,
      0.021326879243924082,
      0.021057530075935367,
      0.020791515562231393,
      0.02052879438223577,
      0.020269325789592042,
      0.020013069420669355,
      0.01975998555621404,
      0.019510034933969914,
      0.019263178702864557,
      0.01901937853796536,
      0.018778596585704674,
      0.018540795474548833,
      0.018305938270306608,
      0.01807398850305048,
      0.017844910246870193,
      0.017618667978984027,
      0.017395226440445402,
      0.017174551007046467,
      0.016956607330548795,
      0.01674136169413629,
      0.016528780670202522,
      0.016318829781381057,
      0.016111464809866645,
      0.01590663980402369,
      0.015704313799133767,
      0.015504449314036235,
      0.015307011409345444,
      0.015111967136941701,
      0.014919284991095648,
      0.014728934683130107,
      0.014540886800161286,
      0.014355112600571209,
      0.014171584009563075,
      0.01399027341987735,
      0.013811153723536957,
      0.013634198275558267,
      0.013459380706571777,
      0.013286675144033597,
      0.013116056047044387,
      0.01294749802333113,
      0.012780976175216058,
      0.012616465893502474,
      0.012453942888320621,
      0.012293383023835988,
      0.012134762630777443,
      0.011978058203514679,
      0.01182324662588726,
      0.01167030511245133,
      0.011519211061719395,
      0.011369942120194454,
      0.011222476202876808,
      0.011076791521070333,
      0.010932866611276987,
      0.010790680174789102,
      0.010650211197666978,
      0.010511438951718077,
      0.010374342906801169,
      0.010238902915149119,
      0.010105098892040107,
      0.009972910978749644,
      0.00984231973185071,
      0.00971330598965005,
      0.009585850650636213,
      0.009459934853017642,
      0.009335539964315761,
      0.009212647610012278,
      0.009091239690496324,
      0.008971298220928941,
      0.008852805483440015,
      0.008735743982836216,
      0.008620096492668013,
      0.008505845898436167,
      0.008392975270378576,
      0.008281467930652575,
      0.008171307438664148,
      0.008062477482203559,
      0.007954962055007429,
      0.0078487453494561,
      0.007743811611801094,
      0.007640145385711627,
      0.007537731260698652
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567828705589818,
      10.340335073014312,
      10.106206583850257,
      9.86806973235099,
      9.628126365066251,
      9.388317923588488,
      9.150302081257374,
      8.915473860613567,
      8.684975453288219,
      8.459680820503184,
      8.240196404318011,
      8.026875588335246,
      7.819843573390234,
      7.619029079646569,
      7.424200737684638,
      7.2350026348247765,
      7.0509905164962525,
      6.871664207577916,
      6.696496612475731,
      6.524959310193392,
      6.356543538310369,
      6.190776668890236,
      6.027232618371513,
      5.865546335986539,
      5.705427052715078,
      5.546655608699283,
      5.389082221869284,
      5.232628294369699,
      5.077288984688939,
      4.923136590516858,
      4.77030247524587,
      4.618963283985522,
      4.46935688280077,
      4.3217762736872904,
      4.176558071137872,
      4.034070763103853,
      3.894715055065306,
      3.7589082165648415,
      3.6270494709793866,
      3.4995066520680544,
      3.3766072262799653,
      3.2586317458039726,
      3.1458095270591113,
      3.0383153566824896,
      2.9362690867198227,
      2.8397352803894504,
      2.7487193026719368,
      2.663175308789354,
      2.5830063445623885,
      2.5080590731030608,
      2.4381196629110957,
      2.3729366690755533,
      2.312233483714441,
      2.255710918678517,
      2.203043560239839,
      2.153865935072467,
      2.1077793895588672,
      2.0644132097804886,
      2.023426364921487,
      1.9844849865553063,
      1.947299294771855,
      1.9116429533429065,
      1.877339309517122,
      1.844246647510298,
      1.8122483249849182,
      1.7812430729087472,
      1.7511470020789708,
      1.7218924193592793,
      1.6934235972340341,
      1.6656922951336313,
      1.638654635714478,
      1.612272976894198,
      1.5865148934132434,
      1.5613519014566488,
      1.5367585488743005,
      1.5127117617876054,
      1.4891903753560205,
      1.4661747901459734,
      1.4436467193525973,
      1.4215890012104246,
      1.399985455539435,
      1.3788207744768568,
      1.3580810193331267,
      1.3377533917395057,
      1.3178254315999123,
      1.2982850357195639,
      1.2791206223533456,
      1.2603215372527614,
      1.2418775094056627,
      1.223778472726115,
      1.2060146237991414,
      1.1885764551748657,
      1.1714547730772633,
      1.1546407041500637,
      1.1381256963558775,
      1.121901987113032,
      1.1059628106733543,
      1.090301803682397,
      1.0749125279454816,
      1.0597884837539135,
      1.0449232049384753,
      1.0303103203067414,
      1.015943593634094,
      1.0018169480414296,
      0.987924480367348,
      0.9742604673564269,
      0.9608193675055399,
      0.9475957914202704,
      0.9345843654494773,
      0.9217801994285851,
      0.9091795876838865,
      0.8967788267292947,
      0.8845740314863482,
      0.8725612358899832,
      0.8607364609033079,
      0.8490957586891177,
      0.8376352413859481,
      0.8263510993925509,
      0.8152396116514776,
      0.8042971519799215,
      0.7935202449716984,
      0.7829065864501947,
      0.7724544059741357,
      0.7621614701271138,
      0.7520252637584711,
      0.7420431099043268,
      0.7322122494162037,
      0.7225298941693125,
      0.7129932620560703,
      0.7035995996398768,
      0.6943457529893224,
      0.6852282593945914,
      0.6762439415517929,
      0.6673898862578054,
      0.6586633807291333,
      0.6500618685251602,
      0.6415829187446439,
      0.6332242035494821,
      0.6249834829835492,
      0.6168585933493808,
      0.608847439078563,
      0.6009479864894878,
      0.5931582591003223,
      0.5854763337124784,
      0.5779003371417494,
      0.570428443882334,
      0.5630588738720209,
      0.5557898906457135,
      0.5486197996803139,
      0.5415469465329392,
      0.5345697158464484,
      0.5276865296019383,
      0.5208958458967314,
      0.5141961582025127,
      0.5075859937634404,
      0.5010639125632438,
      0.49462850645936496,
      0.4882783981343414,
      0.48201224014932087,
      0.4758287140526586,
      0.46972652949815785,
      0.4637044232238199,
      0.4577611586078941,
      0.4518955247629129,
      0.44610633560448704,
      0.4403924294063423,
      0.4347526678782097,
      0.42918593550774126,
      0.4236911391943749,
      0.41826720726285316,
      0.412913089079326,
      0.40762775450980077,
      0.4024101932998332,
      0.39725941450476226,
      0.39217444604865254,
      0.3871543340328905,
      0.38219814248222084,
      0.37730495284431537,
      0.37247386342230265,
      0.36770398070552446,
      0.3629942173126453,
      0.35834340608960985,
      0.3537505012176183,
      0.3492145443602338,
      0.34473464176850727,
      0.34030994854485674,
      0.33593965731524433,
      0.33162299035474957,
      0.32735919425087895,
      0.3231475360307044,
      0.31898730046047075,
      0.31487778788645265,
      0.31081831278882827,
      0.3068082028670078,
      0.3028467980570426,
      0.29893344991179893,
      0.2950675211134567,
      0.2912483850296276,
      0.287475433628943,
      0.2837482002362305,
      0.2800662799571547,
      0.27642921223057026,
      0.27283657096122643,
      0.2692881806432387,
      0.2657838413407371,
      0.2623232991306974,
      0.25890626782735704,
      0.25553237846192717,
      0.2522012045539649,
      0.24891256702712342,
      0.24566642518114692,
      0.24246257241001323,
      0.23930068458703052,
      0.2361803597624682,
      0.2331011454110377,
      0.23006255698364053,
      0.22706409067047656,
      0.22410534867611026,
      0.221185986510617,
      0.21830553145334242,
      0.2154634503332864,
      0.21265921637768437,
      0.20989230958565613,
      0.20716221693918496,
      0.20446843258757955,
      0.20181045798207992,
      0.19918780160446434,
      0.19659997933334908,
      0.19404651394803976,
      0.1915269354105734,
      0.18904078056559714,
      0.18658759299540198,
      0.1841669230047563,
      0.1817783274559993,
      0.17942136986120633,
      0.17709562004507762,
      0.17480065403948208,
      0.17253605404407082,
      0.1703014083639548,
      0.16809631133125089,
      0.1659203630383729,
      0.16377316945528442,
      0.16165434211685598,
      0.15956349809219253,
      0.1575002600257819,
      0.15546425589518093,
      0.15345511893571265,
      0.15147248770047475,
      0.14951600588105857,
      0.1475853222317362,
      0.14568009036806384,
      0.14379996882757123,
      0.1419446208773194,
      0.14011371471730552,
      0.1383069230683761,
      0.13652392319982876,
      0.13476439712338842,
      0.1330280309361914,
      0.13131451538487038,
      0.1296235454770772,
      0.1279548203602415,
      0.1263080433725696,
      0.12468292207505884,
      0.12307916792138329,
      0.12149649644923674,
      0.11993462703914315,
      0.11839328307999605,
      0.11687219167671757,
      0.11537108360532829,
      0.11388969346434093,
      0.11242775945703026,
      0.11098502335085816,
      0.109561230461344,
      0.10815612957144481,
      0.10676947286867745,
      0.10540101590639271,
      0.10405051768449672,
      0.10271774033460476,
      0.10140244934399752,
      0.1001044133326297,
      0.0988233867275382,
      0.09755911238963164,
      0.09631134573225907,
      0.09507985325438326,
      0.0938644098595981,
      0.09266479721770925,
      0.09148080243757366,
      0.09031221715452097,
      0.08915883696477339,
      0.08802046100185303,
      0.0868968915632979,
      0.08578793405462792,
      0.08469339672462708,
      0.08361309054150941,
      0.08254682901482895,
      0.08149442840528731,
      0.08045570736867876,
      0.07943048698679515,
      0.07841859080399434,
      0.07741984463091352,
      0.0764340766933946,
      0.07546111744676559,
      0.07450079962066972,
      0.07355295821851959,
      0.07261743032115471,
      0.07169405530549348,
      0.0707826745943053,
      0.06988313168723732,
      0.06899527216422101,
      0.06811894369044938,
      0.06725399597457192,
      0.06640028058214759,
      0.06555765106425826,
      0.06472596289619442,
      0.0639050734583548,
      0.0630948421930856,
      0.06229513018004314,
      0.061505800360909434,
      0.06072671749054951,
      0.059957748209867365,
      0.05919876082970851,
      0.058449625353106854,
      0.057710213513666224,
      0.056980398673802356,
      0.056260055961615714,
      0.05554906215330329,
      0.05484729553654168,
      0.05415463610069403,
      0.053470965367671125,
      0.05279616633990905,
      0.05213012361943414,
      0.051472699198326796,
      0.05082373259893614,
      0.05018307791595035,
      0.049550602986979345,
      0.04892618559365625,
      0.04830971074153724,
      0.04770106879486416,
      0.047100154210940194,
      0.04650686470693326,
      0.04592110053799179,
      0.04534276413475795,
      0.04477175986399098,
      0.044207993704286686,
      0.043651373090257704,
      0.04310180685761075,
      0.042559205094963304,
      0.042023479217060226,
      0.041494541861282694,
      0.040972306738458815,
      0.04045668870690402,
      0.03994760371414641,
      0.03944496882904497,
      0.03894870221085363,
      0.038458723051143576,
      0.03797495157356008,
      0.0374973090503219,
      0.03702571771140685,
      0.036560100876978655,
      0.0361003827026105,
      0.03564648828406869,
      0.0351983438709292,
      0.034755876447897155,
      0.03431901168609519,
      0.03388765416038095,
      0.033461703001456976,
      0.03304106851899998,
      0.03262567124516262,
      0.03221543894698213,
      0.031810302572119684,
      0.031410195378294564,
      0.03101505242439055,
      0.030624810494880365,
      0.030239407639580565,
      0.029858782944266082,
      0.02948287657253016,
      0.029111629518956364,
      0.028744983737872848,
      0.028382882078600877,
      0.02802526804596981,
      0.027672085859328552,
      0.027323280463345808,
      0.026978797484308783,
      0.026638583316434608,
      0.026302584950182725,
      0.025970750191187393,
      0.025643027404927382,
      0.02531936555012464,
      0.024999714246235236,
      0.024684023792299257,
      0.02437224509329777,
      0.024064329658903334,
      0.02376022961711227,
      0.023459897609523387,
      0.0231632868793594,
      0.022870351298394844,
      0.02258104533889297,
      0.022295324041610425,
      0.02201314296698544,
      0.021734458300954915,
      0.021459226613246347,
      0.02118740509447953,
      0.020918951458454033,
      0.020653823960826483,
      0.020391981381898416,
      0.02013338302425622,
      0.019877988578624974,
      0.01962575832214101,
      0.019376653115433348,
      0.01913063425547416,
      0.018887663457629367,
      0.018647702959949046,
      0.018410715483400952,
      0.0181766641428825,
      0.01794551249991695,
      0.017717224680630885,
      0.017491765222288902,
      0.01726909901707008,
      0.01704919145444741,
      0.016832008367874338,
      0.016617515996409406,
      0.016405680992391387,
      0.016196470417821088,
      0.015989851704177223,
      0.01578579281748262,
      0.01558425916345982,
      0.015385206077379563,
      0.015188590501478291,
      0.014994373771744755,
      0.014802520467934599,
      0.0146129973775708,
      0.014425773162616482,
      0.014240817822947081,
      0.014058102286211521,
      0.013877598312843558,
      0.013699278404435557,
      0.013523115587821592,
      0.013349083436532953,
      0.013177155846078936,
      0.013007307192592188,
      0.012839512219515114,
      0.012673745970254786,
      0.012509983868523176,
      0.01234820165376449,
      0.012188375355835102,
      0.012030481277349127,
      0.01187449598966837,
      0.011720396514687727,
      0.011568160011935282,
      0.011417763911605776,
      0.011269185908840192,
      0.011122404073224148,
      0.010977396686483898,
      0.010834142284436557,
      0.01069261964927692,
      0.010552807866102088,
      0.010414686279054033,
      0.010278234473906567,
      0.010143432261590781,
      0.010010259719769,
      0.0098786970828955,
      0.009748724798271772,
      0.009620323748237198,
      0.00949347488885457,
      0.009368159410722865,
      0.009244358817597737,
      0.009122054917594522,
      0.009001229529072716,
      0.008881864759215449,
      0.008763942946418806,
      0.008647446667496795,
      0.008532358650008521,
      0.00841866189539426,
      0.00830633958048689,
      0.008195375093314746,
      0.008085751986833247,
      0.007977454079942947,
      0.007870465387414993,
      0.007764770050936288,
      0.007660352423271051,
      0.007557197006633245,
      0.007455288608262531
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567819927289532,
      10.340306697178999,
      10.106151134797798,
      9.867982968783506,
      9.6280057925105,
      9.38816242822845,
      9.150111845049066,
      8.915249624646236,
      8.684718315328642,
      8.459392110561762,
      8.239877152619112,
      8.026526601084909,
      7.819465521582085,
      7.618622450001429,
      7.423766084990218,
      7.234540476840598,
      7.05050099396944,
      6.8711470413866795,
      6.695951475571614,
      6.524385886456549,
      6.3559415848826735,
      6.19014611562971,
      6.026573653714941,
      5.864859516210158,
      5.70471327789164,
      5.54591612838497,
      5.388318689465425,
      5.231842807803213,
      5.076484030050323,
      4.9223150454483715,
      4.769467769279673,
      4.618119270986592,
      4.468507708407089,
      4.320926313991038,
      4.1757118558117385,
      4.033232963362832,
      3.8938908411744033,
      3.758102744496512,
      3.6262675075345103,
      3.49875249865349,
      3.3758846563023126,
      3.257943920238443,
      3.145158995978438,
      3.0377040688307475,
      2.93569839650236,
      2.839205729710166,
      2.7482308106185505,
      2.662726965635087,
      2.5825963099584293,
      2.507684519477311,
      2.437777169687503,
      2.3726225798898857,
      2.3119440708107355,
      2.255442292872244,
      2.2027915478846527,
      2.153626143670982,
      2.107547556368635,
      2.0641856194758663,
      2.023199522239381,
      1.9842559143028335,
      1.9470657412870354,
      1.9114032814953978,
      1.8770923576233955,
      1.8439915943750889,
      1.8119845695273797,
      1.7809701568265122,
      1.7508646658461073,
      1.7216005461377437,
      1.6931221717588163,
      1.6653814116410377,
      1.638334443320627,
      1.6119436451774976,
      1.5861766053528414,
      1.5610048476424918,
      1.536402923245877,
      1.512347759714698,
      1.4888181908037164,
      1.4657946145138439,
      1.443258740559063,
      1.421193402610139,
      1.3995824168046835,
      1.3784104705719324,
      1.3576636384828906,
      1.3373291203147284,
      1.3173944448720953,
      1.297847499913174,
      1.2786767213675885,
      1.2598714845653807,
      1.2414214932163268,
      1.223316662890536,
      1.2055471758891032,
      1.188103513801492,
      1.1709764747301372,
      1.1541571790935434,
      1.13763706942935,
      1.1214084063790206,
      1.105464435382998,
      1.0897987817139765,
      1.074404993652406,
      1.059276561308512,
      1.044407010306431,
      1.0297899636834786,
      1.015419180614984,
      1.0012885804933487,
      0.9873922569493276,
      0.9737244837913099,
      0.9602797171615653,
      0.947052594176509,
      0.9340378126287253,
      0.9212306281337169,
      0.9086273227486268,
      0.8962241113770805,
      0.884017052431486,
      0.8720021411981861,
      0.8601753716128774,
      0.8485327770146978,
      0.8370704564871749,
      0.8257845910257949,
      0.8146714529323198,
      0.8037274112622887,
      0.7929491214816737,
      0.7823344671878896,
      0.7718815652763124,
      0.7615881067083632,
      0.7514515249830241,
      0.7414691082108503,
      0.7316380733282909,
      0.7219556156229918,
      0.7124189415139262,
      0.7030252897674901,
      0.6937715334413436,
      0.6846542105923096,
      0.6756701288953233,
      0.6668163651187209,
      0.658090199549532,
      0.6494890706936155,
      0.6410105437129314,
      0.632652288363702,
      0.6244120627577936,
      0.6162877017784573,
      0.6082771087876734,
      0.6003782492975017,
      0.5925891458424979,
      0.5849078744867298,
      0.577332561546235,
      0.5698613810934348,
      0.5624925526392397,
      0.5552243393556147,
      0.5480550460580661,
      0.5409830178197846,
      0.5340066388429721,
      0.5271243307049256,
      0.5203345511296682,
      0.5136357929855584,
      0.5070265829310662,
      0.5005054806039929,
      0.4940710774446982,
      0.4877219957434306,
      0.4814568873822904,
      0.4752744336245769,
      0.4691733436423831,
      0.4631523539985587,
      0.45721022758711205,
      0.45134575300188057,
      0.4455577437521141,
      0.4398450374557211,
      0.4342064955732067,
      0.4286410022610577,
      0.4231474638232353,
      0.4177248081765904,
      0.4123719844116358,
      0.40708796191543123,
      0.40187172997557347,
      0.3967222971545467,
      0.3916386909964144,
      0.3866199573309957,
      0.38166515978681914,
      0.3767733792863341,
      0.37194371393177744,
      0.36717525428467523,
      0.3624668902098066,
      0.3578174668367632,
      0.3532259465665235,
      0.3486913767510843,
      0.3442128674019128,
      0.3397895758212044,
      0.3354206961951875,
      0.3311054519526609,
      0.3268430903026112,
      0.32263287848898664,
      0.31847410134333787,
      0.31436605908556275,
      0.31030806612985734,
      0.3062994499895699,
      0.3023395503433245,
      0.298427718450134,
      0.2945633167480858,
      0.2907457182807827,
      0.2869743327804628,
      0.28324871934733176,
      0.27956845823467996,
      0.2759330785833568,
      0.272342168603224,
      0.2687955674927768,
      0.2652930626376944,
      0.26183440363446964,
      0.25841929632877286,
      0.2550473596594501,
      0.25171822768557145,
      0.24843182274984377,
      0.24518804605845815,
      0.2419866463375508,
      0.2388272687651727,
      0.23570949021336862,
      0.23263284366666845,
      0.22959683459288885,
      0.22660100341480402,
      0.2236450074725616,
      0.2207284557984977,
      0.21785083947837416,
      0.2150116112975664,
      0.21221023491058275,
      0.20944618369053095,
      0.20671894012485073,
      0.2040279952689707,
      0.20137284846063827,
      0.1987530069122405,
      0.19616798540941688,
      0.19361730612776948,
      0.1911004985296493,
      0.18861709911181304,
      0.18616665130921395,
      0.18374870538899443,
      0.1813628181573731,
      0.17900855293614035,
      0.17668547947819688,
      0.17439317387363984,
      0.17213121842056905,
      0.16989920142888618,
      0.16769671709019116,
      0.16552336556589117,
      0.16337875274119854,
      0.1612624901914904,
      0.1591741950619438,
      0.1571134899429906,
      0.15508000278594736,
      0.15307336696066925,
      0.15109322103562908,
      0.14913920866791747,
      0.1472109786030469,
      0.1453081844601682,
      0.14343048484960563,
      0.1415775431293308,
      0.13974902740434036,
      0.1379446104382944,
      0.13616396961719837,
      0.13440678681877702,
      0.13267274836557444,
      0.13096154486387832,
      0.12927287129774076,
      0.12760642690109456,
      0.12596191522120595,
      0.12433904371859811,
      0.12273752390067444,
      0.12115707137912568,
      0.11959740558423532,
      0.118058249853862,
      0.1165393313823652,
      0.11504038111855586,
      0.11356113356740839,
      0.11210132697887983,
      0.1106607032116386,
      0.10923900753270603,
      0.10783598884819504,
      0.10645139939860006,
      0.105084994802918,
      0.10373653400575622,
      0.10240577924202152,
      0.10109249603817384,
      0.0997964530847172,
      0.09851742159823848,
      0.09725515485489543,
      0.09600939942485584,
      0.09477991576513052,
      0.09356647479412417,
      0.09236885540416509,
      0.09118684275452335,
      0.09002022719212224,
      0.08886880350279697,
      0.087732370210517,
      0.08661072931008788,
      0.08550368599330332,
      0.08441104841509221,
      0.0833326273687621,
      0.08226823637126693,
      0.0812176916437643,
      0.08018081194293765,
      0.07915741845220778,
      0.07814733465642175,
      0.07715038645682085,
      0.07616640221852705,
      0.0751952125598168,
      0.07423665018757249,
      0.07329055012531459,
      0.07235674956169988,
      0.07143508791342645,
      0.0705254067596799,
      0.06962754956502999,
      0.06874136204859466,
      0.06786669204606262,
      0.0670033891410081,
      0.06615130505355826,
      0.06531029344808542,
      0.0644802099011555,
      0.06366091183809362,
      0.06285225864194487,
      0.062054111591553836,
      0.061266333736942714,
      0.060488789866798155,
      0.05972134672130915,
      0.058963872613986154,
      0.05821623769922713,
      0.05747831379760782,
      0.05674997440299137,
      0.05603109473693534,
      0.055321551609143406,
      0.0546212233669197,
      0.05392999002509556,
      0.05324773315419363,
      0.05257433596530962,
      0.05190968314673016,
      0.051253655721714954,
      0.05060610297641683,
      0.049966869893498286,
      0.049335818122286726,
      0.048712821120320625,
      0.04809776089482397,
      0.04749052584584714,
      0.046891009079426865,
      0.046299107406943346,
      0.04571472051794964,
      0.04513775046910769,
      0.04456810131934515,
      0.04400567888694691,
      0.04345039057717032,
      0.042902145155488486,
      0.04236085275825019,
      0.041826424810075036,
      0.04129877396170314,
      0.04077781408088061,
      0.04026346005332158,
      0.03975562793147517,
      0.03925423489997769,
      0.03875919915317814,
      0.038270439945158725,
      0.037787877551581285,
      0.0373114332641584,
      0.036841029452450144,
      0.03637658937563554,
      0.035918037376043925,
      0.03546529874288485,
      0.03501829969424894,
      0.03457696739117305,
      0.03414122990131075,
      0.033711016248950294,
      0.03328623733867748,
      0.03286679203987469,
      0.032452592302451976,
      0.03204355986907264,
      0.03163962164420653,
      0.03124070807291234,
      0.030846752277598803,
      0.03045768962804538,
      0.030073457336234736,
      0.02969399387383333,
      0.029319239116397753,
      0.028949133869756834,
      0.02858361986142022,
      0.02822263963967373,
      0.02786613668607031,
      0.027514055429841665,
      0.02716634081726717,
      0.026822938551229893,
      0.02648379503456354,
      0.026148857414870177,
      0.02581807350165217,
      0.025491391727374444,
      0.02516876117484018,
      0.02485013157505529,
      0.024535453288337568,
      0.024224677192962632,
      0.023917754874413524,
      0.023614638537585574,
      0.023315280953192578,
      0.0230196354764988,
      0.022727656036330462,
      0.022439297164514208,
      0.02215451386881589,
      0.02187326184473819,
      0.021595497371765547,
      0.021321177180457417,
      0.021050258441880396,
      0.02078269899428442,
      0.020518457190598745,
      0.020257491932445682,
      0.019999762521785636,
      0.01974522883869772,
      0.01949385121589088,
      0.01924559049954301,
      0.019000408061228238,
      0.018758265601992473,
      0.0185191254857783,
      0.018282950483619363,
      0.018049703869618048,
      0.01781934929594491,
      0.017591850796638935,
      0.017367173060309955,
      0.01714528111967125,
      0.01692614038631649,
      0.016709716667813575,
      0.016495976256271604,
      0.016284885961565933,
      0.01607641287300704,
      0.015870524510258364,
      0.015667188925041344,
      0.015466374391148546,
      0.015268049585531029,
      0.01507218370088097,
      0.014878742401463077,
      0.014687682374899477,
      0.014498962728432204,
      0.014312546703015464,
      0.014128400397113041,
      0.013946492163307777,
      0.013766792006932158,
      0.013589271086963397,
      0.013413901552062171,
      0.013240656284960524,
      0.01306950885988535,
      0.01290043336876224,
      0.012733404357853816,
      0.01256839696325423,
      0.012405386457216123,
      0.012244348532800273,
      0.012085259182936075,
      0.011928094771865757,
      0.011772832037576895,
      0.011619447879862065,
      0.011467919492236266,
      0.011318224399710326,
      0.011170340415145048,
      0.011024245654020071,
      0.010879918512081461,
      0.010737337650669991,
      0.010596481919224729,
      0.010457330367832215,
      0.010319862381214719,
      0.01018405764874742,
      0.010049895951216062,
      0.00991735739946447,
      0.00978642238187592,
      0.009657071519202627,
      0.009529285588425281,
      0.009403045759176134,
      0.009278333239795801,
      0.009155129572661354,
      0.009033416529852453,
      0.008913176060711814,
      0.008794390303768027,
      0.008677041694692434,
      0.00856111276381502,
      0.008446586430181409,
      0.00833344569270412,
      0.008221673760712034,
      0.008111254115234588,
      0.008002170425102963,
      0.007894406451046991,
      0.0077879462809649315,
      0.007682774146548093,
      0.0075788744060077285,
      0.007476231673417602,
      0.007374830726563236
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567811182553942,
      10.34027842584342,
      10.106095887367523,
      9.867896499393598,
      9.627885586309338,
      9.388007354129535,
      9.149922068436974,
      8.91502587197853,
      8.684461672662628,
      8.459103885987247,
      8.239558358996474,
      8.026178038334002,
      7.819087854977585,
      7.618216163106645,
      7.423331517727116,
      7.234077965014234,
      7.050010524310798,
      6.870628398381805,
      6.6954043891749,
      6.523810091300813,
      6.355336883166845,
      6.189512474989277,
      6.025911294759837,
      5.864169023913059,
      5.70399557861663,
      5.54517249411982,
      5.387550792945367,
      5.231052765489892,
      5.075674346839107,
      4.921488617269252,
      4.768628040822731,
      4.617270110765196,
      4.46765327733662,
      4.320071003626943,
      4.174860212558835,
      4.032389676002823,
      3.893061098777531,
      3.7572917219964315,
      3.625479989423469,
      3.4979928026473064,
      3.3751565705296582,
      3.2572506199547617,
      3.144503043427647,
      3.037087425062775,
      2.9351224263814464,
      2.838670984208586,
      2.747737216346888,
      2.66227362473239,
      2.582181396157756,
      2.5073052188431157,
      2.4374300742609085,
      2.372304044713349,
      2.3116503774959645,
      2.25516955899627,
      2.2025356029809804,
      2.1533825941663007,
      2.1073121361760716,
      2.0639546086543974,
      2.0229694192709804,
      1.9840237243599221,
      1.9468292100330176,
      1.9111607685464296,
      1.8768426980442006,
      1.8437339630808216,
      1.811718361970903,
      1.7806949107377157,
      1.7505801181333238,
      1.7213065763777837,
      1.6928187615742138,
      1.6650686509311128,
      1.6380124770438307,
      1.6116126399796618,
      1.5858367410061593,
      1.5606563117380001,
      1.5360459071587886,
      1.5119824554860963,
      1.4884447896481168,
      1.4654133051176461,
      1.4428697082841544,
      1.4207968295467563,
      1.399178479921625,
      1.377999342282141,
      1.3572455053879828,
      1.3369041670857313,
      1.3169628457286164,
      1.297409420127651,
      1.2782323613979736,
      1.2594210499651888,
      1.2409651659854664,
      1.2228546075467719,
      1.20507954444799,
      1.187630448493898,
      1.1704981101854268,
      1.1536736435802377,
      1.1371484860161059,
      1.12091492143433,
      1.1049662065962875,
      1.089295955537239,
      1.0738977029483632,
      1.0587649290536019,
      1.0438911521787129,
      1.029269989078875,
      1.0148951943299487,
      1.0007606835986451,
      0.9868605471609676,
      0.9731890556933191,
      0.9597406631450152,
      0.9465100046702547,
      0.9334918533075739,
      0.9206816531304772,
      0.9080756683070743,
      0.8956700280679779,
      0.883460731951541,
      0.8714437347024453,
      0.8596150020075494,
      0.8479705477778484,
      0.8365064572902511,
      0.8252189017443595,
      0.814104146563398,
      0.8031585559577525,
      0.7923789157760669,
      0.7817632973588707,
      0.7713097048052573,
      0.7610157534740509,
      0.7508788256597358,
      0.7408961742601207,
      0.7310649921601811,
      0.7213824585576881,
      0.7118457685892763,
      0.7024521530589349,
      0.6931985120253555,
      0.6840813843730059,
      0.6750975630197453,
      0.666244114205486,
      0.6575183110914828,
      0.648917587287518,
      0.6404395046065825,
      0.632081730324665,
      0.6238420205723109,
      0.6157182088394405,
      0.607708197519345,
      0.599809951113359,
      0.592021491577309,
      0.5843408941589786,
      0.576766284519915,
      0.5692958359769582,
      0.5619277677107433,
      0.554660342294556,
      0.5474918642296911,
      0.5404206783492589,
      0.533445168149211,
      0.5265637547398563,
      0.5197748954577471,
      0.5130770827048529,
      0.5064688427911889,
      0.49994873494034436,
      0.49351535008080094,
      0.4871673100655397,
      0.4809032665351973,
      0.4747219001422998,
      0.4686219196069203,
      0.46260206096408163,
      0.45666108672696,
      0.45079778504674145,
      0.44501096894825437,
      0.439299475746795,
      0.4336621663443682,
      0.42809792453578915,
      0.42260565630224267,
      0.4171842891452181,
      0.4118327718201194,
      0.4065500732767802,
      0.40133518236017246,
      0.39618710733266793,
      0.39110487522015114,
      0.3860875312894646,
      0.38113413881084796,
      0.37624377844696905,
      0.37141554782955033,
      0.366648521804826,
      0.36194156797547306,
      0.3572935435348871,
      0.35270341901152225,
      0.34817024704823285,
      0.34369314139940255,
      0.339271262018486,
      0.33490380467140124,
      0.33058999367999514,
      0.3263290767281708,
      0.3221203213701242,
      0.317963012608055,
      0.3138564506529393,
      0.30979994969032926,
      0.30579283699906107,
      0.30183445200121367,
      0.2979241457003419,
      0.29406128017557986,
      0.29024522820830373,
      0.28647541749538213,
      0.28275143232416017,
      0.279072838382807,
      0.27543915476195024,
      0.2718499956787803,
      0.26830520051050677,
      0.26480455083551835,
      0.26134779630225385,
      0.25793462914462134,
      0.2545646577459341,
      0.25123762213538414,
      0.24795348980677903,
      0.24471210550035957,
      0.24151317733419364,
      0.23835632239235538,
      0.2352410982979403,
      0.23216702477110954,
      0.22913360952288417,
      0.22614047089511657,
      0.22318725874847134,
      0.22027354165716795,
      0.21739877886522643,
      0.21456241199280413,
      0.21176389700882972,
      0.20900270213563224,
      0.20627830632044378,
      0.20359019822927438,
      0.20093787556909123,
      0.19832084448186715,
      0.1957386189579091,
      0.1931907207121955,
      0.19067667888727874,
      0.18819602974799432,
      0.18574831653216511,
      0.18333308936840395,
      0.18094990503231148,
      0.17859832678179435,
      0.17627792433524925,
      0.17398827378939868,
      0.17172895736189198,
      0.16949956337213035,
      0.16729968605287743,
      0.16512892549169064,
      0.16298688765108474,
      0.16087318404810685,
      0.15878743181098962,
      0.1567292536366609,
      0.15469827755981405,
      0.152694136883071,
      0.15071647022954085,
      0.14876492125444146,
      0.14683913868875514,
      0.14493877623840798,
      0.14306349247879108,
      0.14121295090964023,
      0.1393868195918401,
      0.13758477126837085,
      0.1358064833401748,
      0.1340516377286431,
      0.13231992084095862,
      0.1306110233518908,
      0.12892464018961927,
      0.1272604706996866,
      0.12561821835860593,
      0.12399759076127428,
      0.12239829944279688,
      0.12082006001859794,
      0.11926259203180589,
      0.11772561881986668,
      0.11620886752023876,
      0.11471206917776398,
      0.113234958374577,
      0.11177727340633666,
      0.11033875609518158,
      0.10891915191301232,
      0.10751820970375979,
      0.10613568168382816,
      0.10477132362584533,
      0.10342489458956156,
      0.10209615677237764,
      0.10078487564390838,
      0.09949082002152679,
      0.09821376169947159,
      0.0969534728696512,
      0.09570970711709793,
      0.0944822163185413,
      0.09327076548942949,
      0.09207512949016905,
      0.09089509081334203,
      0.08973043812496774,
      0.08858096487275464,
      0.08744646884105267,
      0.08632675154973074,
      0.08522161773646611,
      0.08413087525163163,
      0.0830543348814795,
      0.08199181017566623,
      0.08094311731644245,
      0.0799080749848054,
      0.0788865044008295,
      0.07787822913450848,
      0.07688307510342904,
      0.07590087069977998,
      0.07493144649366348,
      0.07397463547220588,
      0.07303027277235868,
      0.0720981955933123,
      0.07117824340904842,
      0.07027025780096144,
      0.06937408235242008,
      0.06848956289759231,
      0.06761654722462067,
      0.06675488507575922,
      0.06590442829475228,
      0.06506503056192525,
      0.06423654757186652,
      0.06341883688139488,
      0.06261175797127302,
      0.061815172095691005,
      0.061028942322613224,
      0.060252933634997806,
      0.059487012737070674,
      0.058731048140616825,
      0.05798491002892349,
      0.0572484702861462,
      0.05652160250742053,
      0.05580418192340587,
      0.05509608539114053,
      0.05439719149932448,
      0.05370738033665494,
      0.05302653351056853,
      0.05235453426735013,
      0.05169126738926665,
      0.05103661913247402,
      0.050390460815717804,
      0.0497526352502969,
      0.04912299613806663,
      0.048501411484329314,
      0.04788775962451634,
      0.04728192642654143,
      0.04668380333016586,
      0.04609328589763826,
      0.04551027299113429,
      0.044934666210897596,
      0.04436636928672964,
      0.04380528781475697,
      0.043251329030048746,
      0.04270440177000331,
      0.042164416199056615,
      0.041631283722929194,
      0.04110491698376993,
      0.04058522984755768,
      0.040072137307113835,
      0.039565555522957256,
      0.03906540170642248,
      0.038571594130897655,
      0.038084052128126246,
      0.03760269608208786,
      0.03712744736984283,
      0.03665822843315898,
      0.03619496266367675,
      0.03573757448893855,
      0.03528598920119983,
      0.034840133085892455,
      0.034399933337424964,
      0.033965318121466956,
      0.03353621652986934,
      0.033112558574044014,
      0.0326942631824679,
      0.03228123354962765,
      0.03187338193812655,
      0.031470628542929514,
      0.031072899297229534,
      0.030680124221673506,
      0.030292236524617915,
      0.02990917180334966,
      0.02953086760167297,
      0.029157262936709515,
      0.02878829819092301,
      0.028423914942573538,
      0.028064055638666124,
      0.027708663649739028,
      0.027357683169233357,
      0.02701105924328677,
      0.02666873755894608,
      0.026330664578227,
      0.025996787497237352,
      0.02566705418595135,
      0.025341413155834852,
      0.025019813593644906,
      0.024702205200737362,
      0.024388538467056096,
      0.024078764407146392,
      0.023772834673741354,
      0.023470701591210726,
      0.023172317962364648,
      0.022877637163629172,
      0.02258661328692716,
      0.022299200883343705,
      0.022015355256047527,
      0.02173503203065315,
      0.021458187452341734,
      0.021184778303139026,
      0.0209147619492086,
      0.020648096262768523,
      0.020384739724187813,
      0.020124651201991885,
      0.01986779022446274,
      0.019614116706396893,
      0.019363590995537607,
      0.01911617396536266,
      0.018871827046211858,
      0.01863051215039068,
      0.018392191669244155,
      0.01815682842111435,
      0.017924385741101365,
      0.0176948273180359,
      0.017468117427631012,
      0.017244220696934324,
      0.017023102213765642,
      0.016804727364352855,
      0.016589062142952467,
      0.016376072954938523,
      0.016165726593135227,
      0.015957990266653448,
      0.01575283156776859,
      0.015550218472127283,
      0.015350119397519702,
      0.01515250313096114,
      0.014957338865298675,
      0.014764596192923803,
      0.01457424509465941,
      0.014386255885639106,
      0.014200595614437022,
      0.014017222766727526,
      0.013836098070448862,
      0.013657186076665568,
      0.013480454263489804,
      0.013305872151755545,
      0.013133410924902163,
      0.012963042870516361,
      0.012794741138187533,
      0.01262847976150978,
      0.012464233301667068,
      0.012301976830377842,
      0.012141685883066031,
      0.011983336420068004,
      0.011826904783257174,
      0.011672367654157445,
      0.01151970193055891,
      0.011368884890396534,
      0.011219894198023142,
      0.01107270768934627,
      0.01092730346295148,
      0.010783659876878961,
      0.01064175565454341,
      0.01050156971295347,
      0.010363081226391025,
      0.010226269675856468,
      0.010091114738246018,
      0.009957596321258162,
      0.009825694630694137,
      0.009695390067511179,
      0.009566663227045408,
      0.00943949509661717,
      0.009313866713619817,
      0.00918975944089384,
      0.009067154919223407,
      0.008946034956968168,
      0.008826381611450511,
      0.008708177035810961,
      0.008591403707878954,
      0.008476044291485987,
      0.0083620817020479,
      0.008249499007628404,
      0.0081382795089321,
      0.008028406705398625,
      0.007919864230530342,
      0.007812636048522384,
      0.007706706213035943,
      0.007602059001974869,
      0.007498678963967578,
      0.007396550692093855,
      0.007295658979962415
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567802463856564,
      10.340250230185193,
      10.10604077946057,
      9.867810220483282,
      9.627765596602266,
      9.387852499972903,
      9.14973249739527,
      8.91480229459557,
      8.684205158992036,
      8.45881566414666,
      8.239239368870292,
      8.02582908484672,
      7.818709610215293,
      7.6178091172453355,
      7.422895963773313,
      7.23361400899129,
      7.0495181127280695,
      6.8701073624199465,
      6.694854497594024,
      6.523231112270401,
      6.3547286484345555,
      6.188874978406657,
      6.025244776831693,
      5.863474090332505,
      5.703273176047576,
      5.544423910786355,
      5.38677771655591,
      5.23025732597588,
      5.074859063816757,
      4.920656402672547,
      4.767782354428185,
      4.616414835075488,
      4.4667925887581275,
      4.319209312930498,
      4.174002086714034,
      4.031539836544063,
      3.892224767117415,
      3.7564740912377683,
      3.6246858626204155,
      3.497226515061156,
      3.374421926336286,
      3.2565508097248554,
      3.143840644186249,
      3.0364644102184424,
      2.934540171090437,
      2.8381300482421183,
      2.7472375068843977,
      2.661814234450875,
      2.581760517839643,
      2.5069200568504066,
      2.4370772384871366,
      2.371979906802217,
      2.311351233377604,
      2.2548915370498896,
      2.2022745395602614,
      2.1531340993674393,
      2.1070719450158584,
      2.0637190007154302,
      2.022734889974772,
      1.9837872732751776,
      1.9465885767067037,
      1.9109143078761237,
      1.8765892408435274,
      1.843472680333349,
      1.8114486439932713,
      1.7804162894266529,
      1.7502923255417235,
      1.7210094878921147,
      1.6925123544162837,
      1.6647530107319664,
      1.6376877444580504,
      1.6112789772960159,
      1.5854943245330455,
      1.560305325660084,
      1.5356865398344728,
      1.511614896659728,
      1.4880692277607412,
      1.4650299258821884,
      1.442478694266091,
      1.4203983593717309,
      1.3987727286818041,
      1.3775864805930942,
      1.35682571784475,
      1.3364776363625939,
      1.316529743512632,
      1.2969699096028198,
      1.2777866455112838,
      1.258969330313185,
      1.2405076218060465,
      1.2223914013928758,
      1.204610826057411,
      1.1871563582273508,
      1.170018780709081,
      1.1531892013676937,
      1.1366590525668003,
      1.1204206421360083,
      1.1044672379895237,
      1.0887924428652365,
      1.0733897783705262,
      1.0582527144387546,
      1.0433747616469837,
      1.0287495308356363,
      1.0143707718940467,
      1.0002323969341755,
      0.9863284930003444,
      0.9726533284248631,
      0.9592013544842762,
      0.9459672039456289,
      0.9329456876245997,
      0.9201324834476042,
      0.9075238399437199,
      0.8951157976606059,
      0.8829042950844904,
      0.8708852445581761,
      0.8590545827355596,
      0.8474083035251235,
      0.8359424778782625,
      0.8246532669373834,
      0.8135369294459077,
      0.8025898242583471,
      0.7918089534165959,
      0.781192459986964,
      0.770738245831874,
      0.7604438570743185,
      0.7503066289490873,
      0.7403237822951533,
      0.7304924880917721,
      0.7208099103100254,
      0.7112732337354846,
      0.7018796820075333,
      0.6926261827002206,
      0.6835092754269795,
      0.6745257384503519,
      0.6656726281411613,
      0.6569472105822979,
      0.6483469146107309,
      0.6398692984822727,
      0.631512026758112,
      0.6232728538088534,
      0.6151496118493431,
      0.6071402020400943,
      0.5992425881397703,
      0.5914547912835426,
      0.5837748861681293,
      0.5762009980388828,
      0.5687312997460143,
      0.5613640098186367,
      0.5540973903936154,
      0.5469297454124408,
      0.5398594192730839,
      0.5328847949506517,
      0.5260042931197058,
      0.5192163707092589,
      0.5125195197608874,
      0.5059122661889306,
      0.4993931688054541,
      0.4929608179023405,
      0.48661383487074006,
      0.4803508709058346,
      0.47417060612336603,
      0.4680717489400036,
      0.462053034984353,
      0.45611322635705287,
      0.45025111078485014,
      0.4444655010289088,
      0.43875523399144883,
      0.4331191700578317,
      0.4275561925244411,
      0.42206520691215244,
      0.4166451403459654,
      0.41129494118213306,
      0.4060135779693346,
      0.40080003911911166,
      0.3956533325760649,
      0.3905724850326361,
      0.385556541274711,
      0.3806045642446922,
      0.37571563429933647,
      0.37088884862944443,
      0.36612326639486165,
      0.36141773311760733,
      0.35677111785476173,
      0.3521823991382035,
      0.34765063513290384,
      0.343174943185507,
      0.33875448567324007,
      0.3343884599546107,
      0.33007609134509214,
      0.32581662817903456,
      0.32160933835680705,
      0.3174535067809873,
      0.3133484336751227,
      0.30929343299101614,
      0.3052878318427118,
      0.3013309694141289,
      0.29742219631796,
      0.2935608744683437,
      0.28974637637438705,
      0.2859781640538398,
      0.28225582522765263,
      0.27857891270725665,
      0.2749469366927311,
      0.27135953816340147,
      0.2678165579060279,
      0.26431777319988686,
      0.260862932382155,
      0.2574517130655409,
      0.2540837305766137,
      0.25075884727703457,
      0.24747702760362367,
      0.24423806279947768,
      0.24104162422807718,
      0.23788730385908657,
      0.23477464196695821,
      0.23170314626860283,
      0.22867237866665807,
      0.2256819969675868,
      0.22273161036037342,
      0.21982075191205352,
      0.21694885692595914,
      0.21411535897348902,
      0.21131970852629703,
      0.20856137001267197,
      0.20583981992993042,
      0.20315454531890678,
      0.20050504263311186,
      0.19789081710176995,
      0.19531138231622483,
      0.19276625962035698,
      0.1902549777854498,
      0.1877770729185657,
      0.185332088248003,
      0.18291957379851,
      0.18053908624775042,
      0.1781901888492677,
      0.17587245129543624,
      0.17358544960856917,
      0.17132876603531527,
      0.16910198884210348,
      0.1669047123738878,
      0.1647365367024769,
      0.16259706770976357,
      0.16048591701401077,
      0.1584027017720485,
      0.1563470446996385,
      0.15431857381450137,
      0.15231692243567607,
      0.15034172914663974,
      0.14839263765228422,
      0.14646929672695586,
      0.14457136012580274,
      0.14269848645982475,
      0.1408503391042755,
      0.13902658615860164,
      0.13722690050990036,
      0.1354509595926688,
      0.13369844534622474,
      0.1319690441097396,
      0.13026244662625305,
      0.1285783479833125,
      0.12691644758026435,
      0.1252764487970259,
      0.12365805922245393,
      0.12206099051415237,
      0.1204849582966267,
      0.11892968208491517,
      0.11739488532252898,
      0.11588029522800444,
      0.1143856428324751,
      0.11291066274284073,
      0.11145509331127723,
      0.11001867650528782,
      0.10860115776451408,
      0.1072022860530595,
      0.10582181368852892,
      0.10445949632215529,
      0.10311509308277102,
      0.10178836634452353,
      0.10047908165183961,
      0.09918700772524126,
      0.09791191640787683,
      0.0966535828073354,
      0.09541178025434797,
      0.09418626289491129,
      0.09297678765542211,
      0.09178312394813601,
      0.09060505045040393,
      0.08944235319852933,
      0.08829482398209555,
      0.08716225949169869,
      0.08604446048406399,
      0.0849412312107286,
      0.08385237927253208,
      0.0827777151458535,
      0.08171705220934701,
      0.08067020670450387,
      0.0796369972487386,
      0.07861724511718746,
      0.07761077391063768,
      0.0766174097089263,
      0.07563698085494842,
      0.07466931795337395,
      0.07371425412279799,
      0.07277162448374339,
      0.07184126637018345,
      0.07092301922723904,
      0.07001672473025382,
      0.06912222663823654,
      0.0682393708107252,
      0.06736800515622858,
      0.06650797951516475,
      0.06565914581046006,
      0.06482135788150879,
      0.06399447129031723,
      0.06317834363978468,
      0.06237283460350687,
      0.06157780555012514,
      0.06079311966042517,
      0.06001864196544318,
      0.059254239206837075,
      0.058499779932751024,
      0.05775513440966978,
      0.057020174610567374,
      0.05629477428285771,
      0.05557880871401291,
      0.05487215481524154,
      0.054174691153562354,
      0.05348629795862781,
      0.05280685699560271,
      0.05213625151415783,
      0.05147436642535702,
      0.05082108806530375,
      0.050176303519140084,
      0.04953987026560393,
      0.04891163232432268,
      0.0482914512211203,
      0.04767920074287903,
      0.04707476357514351,
      0.0464780290522905,
      0.04588889135656439,
      0.045307248371990856,
      0.044733001048680186,
      0.04416605273763267,
      0.04360630881817196,
      0.04305367635809036,
      0.04250806409228669,
      0.04196938208986267,
      0.04143754180784088,
      0.04091245599754527,
      0.04039403856203962,
      0.03988220451310149,
      0.03937687003460291,
      0.03887795246744988,
      0.038385370092292655,
      0.03789904237074415,
      0.03741888972343044,
      0.0369448336554389,
      0.036476796640848894,
      0.03601470219241604,
      0.03555847469356428,
      0.0351080396025243,
      0.034663323339568015,
      0.034224253126771395,
      0.03379075726066711,
      0.03336276490855329,
      0.03294020602564892,
      0.03252301162561817,
      0.03211111016733446,
      0.03170441004347894,
      0.03130282102159627,
      0.030906261692149585,
      0.03051465708928365,
      0.030127936931833507,
      0.029746034429413898,
      0.029368885477559392,
      0.028996428047636576,
      0.028628601830073423,
      0.028265347740702853,
      0.027906607925078424,
      0.027552325665918895,
      0.02720244498297626,
      0.0268569107958475,
      0.02651566889921464,
      0.02617866576994603,
      0.025845848573915604,
      0.02551716520715708,
      0.025192564251193157,
      0.02487199483521937,
      0.02455540688241286,
      0.02424275094570655,
      0.023933978173029537,
      0.02362904029428544,
      0.023327889635981206,
      0.02303047912531962,
      0.022736762258501374,
      0.022446693122163998,
      0.022160226372620856,
      0.021877317312718678,
      0.021597921754909634,
      0.02132199598809449,
      0.021049497013516494,
      0.020780382166372385,
      0.0205146094512139,
      0.020252137262892198,
      0.019992924592512385,
      0.019736930974858166,
      0.019484116367926154,
      0.019234441295136816,
      0.018987866779513134,
      0.01874435433739455,
      0.018503865954721012,
      0.01826636404621249,
      0.01803181153069034,
      0.017800171730185006,
      0.017571408436200125,
      0.01734548593942514,
      0.017122368972477105,
      0.0169020226415687,
      0.016684412525182213,
      0.01646950465345871,
      0.016257265464179896,
      0.016047661791937135,
      0.01584066091637594,
      0.01563623052269324,
      0.01543433868961801,
      0.01523495397406963,
      0.015038045116097437,
      0.01484358138077024,
      0.01465153243748841,
      0.014461868247448344,
      0.01427455920027776,
      0.014089576048835286,
      0.01390688988336846,
      0.01372647220291673,
      0.013548292495341063,
      0.013372311602607469,
      0.013198491179995681,
      0.013026796845496538,
      0.012857197014366105,
      0.012689662215732169,
      0.012524164595380095,
      0.012360677399306281,
      0.012199174830806984,
      0.01203963179656253,
      0.01188202385278454,
      0.011726327032880372,
      0.011572517938116774,
      0.011420573365733336,
      0.01127047059339278,
      0.011122187111794933,
      0.010975700860869669,
      0.010830989971450199,
      0.010688032921179398,
      0.010546808412700897,
      0.010407295340962021,
      0.010269472956106421,
      0.010133320796375673,
      0.009998818588753986,
      0.009865946296582438,
      0.009734684155527282,
      0.0096050127231234,
      0.00947691267538936,
      0.009350364966327384,
      0.009225350778515481,
      0.009101851576622536,
      0.008979848990074675,
      0.008859324810866454,
      0.00874026113223275,
      0.008622640259102206,
      0.00850644467688193,
      0.008391657154443202,
      0.00827826068929187,
      0.008166238428037525,
      0.008055573714751383,
      0.007946250089335522,
      0.00783825127998603,
      0.007731561209472015,
      0.007626164001892641,
      0.007522044003143193,
      0.0074191856812442685,
      0.007317573749914968,
      0.007217193172084344
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567793772519506,
      10.340222117474084,
      10.10598582788665,
      9.867724164614607,
      9.627645877765323,
      9.387697947750254,
      9.149543242965743,
      8.914579033746385,
      8.683948942318288,
      8.458527643794772,
      8.238920432339569,
      8.025480041882915,
      7.818331136849489,
      7.617401709478626,
      7.422459921443103,
      7.23314944322243,
      7.04902497478885,
      6.869585487720236,
      6.694303659834536,
      6.522651083915524,
      6.354119264154659,
      6.188236234484164,
      6.024576918247376,
      5.862777724461356,
      5.702549250552105,
      5.54367371628917,
      5.386002942727808,
      5.229460103387949,
      5.074041912980937,
      4.919822237715712,
      4.766934633873683,
      4.615557440640213,
      4.465929696743333,
      4.3183453334364135,
      4.173141587145877,
      4.030687588008139,
      3.891386035238356,
      3.7556540603722346,
      3.623889327321262,
      3.49645780362373,
      3.373684838001021,
      3.2558485315521386,
      3.14317574981292,
      3.035838870533064,
      2.933955360205279,
      2.837586526613037,
      2.746735091283267,
      2.6613519482244494,
      2.581336586033854,
      2.50653171709261,
      2.4367211262260544,
      2.3716524276110063,
      2.311048715522203,
      2.254610139074743,
      2.2020101245520602,
      2.1528822798286953,
      2.106828459472584,
      2.063480152093222,
      2.0224971935170206,
      1.9835477423526384,
      1.946344961033131,
      1.9106649691026631,
      1.8763330140892562,
      1.8432087390536467,
      1.8111763788692055,
      1.7801352312556606,
      1.7500022042031727,
      1.7207101763202894,
      1.6922038279983802,
      1.6644353526911273,
      1.6373610924453676,
      1.6109434907913593,
      1.585150176849262,
      1.5599526982815162,
      1.5353256180758128,
      1.5112458673062534,
      1.4876922771108547,
      1.4646452383412043,
      1.4420864508255873,
      1.4199987368340565,
      1.3983658995734254,
      1.3771726134056608,
      1.35640499545363,
      1.3360502393764202,
      1.3160958420836377,
      1.2965296652099476,
      1.2773402591857848,
      1.2585170017382392,
      1.2400495279611696,
      1.2219277033032587,
      1.2041416722646054,
      1.1866818877260126,
      1.1695391247888045,
      1.1527044854773314,
      1.1361693970302273,
      1.1199261906130635,
      1.103968146016362,
      1.0882888549002692,
      1.0728818250970416,
      1.0577405168841365,
      1.0428584332198234,
      1.0282291793670548,
      1.0138465004123591,
      0.9997043044951771,
      0.9857966754200699,
      0.9721178787623596,
      0.9586623634773874,
      0.9454247602469301,
      0.9323999507742098,
      0.9195838295769012,
      0.9069725970562663,
      0.8945622102000758,
      0.882348550015412,
      0.8703274891851777,
      0.8584949370435287,
      0.8468468680825519,
      0.8353793401690247,
      0.8240885053196126,
      0.8129706154083823,
      0.8020220244537297,
      0.7912399884655411,
      0.7806226712966027,
      0.7701678775431402,
      0.7598730869957668,
      0.7497355894702468,
      0.7397525750700369,
      0.729921193700381,
      0.7202385947269323,
      0.7107019533529726,
      0.7013084863358714,
      0.6920551487397738,
      0.6829384811085312,
      0.6739552474016497,
      0.6651024938612151,
      0.6563774797650854,
      0.647777628940412,
      0.6393004963308374,
      0.6309437440010903,
      0.622705124601449,
      0.6145824688056697,
      0.606573676681408,
      0.5986767111039633,
      0.590889592627426,
      0.5832103954076168,
      0.5756372439775691,
      0.5681683107801836,
      0.5608018137000609,
      0.553536014391821,
      0.5463692163688817,
      0.5392997634441552,
      0.5323260384291049,
      0.5254464615381877,
      0.5186594891150057,
      0.5119636127128253,
      0.5053573577972907,
      0.49883928268872596,
      0.49240797741782794,
      0.4860620629581774,
      0.47980019002672,
      0.47362103834698577,
      0.4675233158965347,
      0.4615057579143263,
      0.4555671260531139,
      0.44970620763017755,
      0.4439218148264343,
      0.4382127841944879,
      0.43257797571562895,
      0.4270162724009759,
      0.42152657929461174,
      0.41610782317924433,
      0.4107589518421201,
      0.405478933437935,
      0.40026675605287465,
      0.39512142716668414,
      0.39004197309177047,
      0.38502743839059633,
      0.38007688562966296,
      0.37518939458195066,
      0.3703640620236898,
      0.3655999317837594,
      0.3608958273531841,
      0.35625062960103276,
      0.3516633249850962,
      0.3471329771907894,
      0.3426587072695825,
      0.3382396799441385,
      0.3338750940738814,
      0.3295641759649352,
      0.3253061744204625,
      0.3211003576181682,
      0.3169460106091879,
      0.31284243350773466,
      0.3087889403034325,
      0.3047848577717495,
      0.3008295248618613,
      0.29692229200215386,
      0.29306252067755806,
      0.28924958315233207,
      0.2854829756519008,
      0.2817622893689791,
      0.27808706432603036,
      0.2744568016525444,
      0.2708711690996038,
      0.26733000873163515,
      0.26383309352221035,
      0.260380170857846,
      0.2569709037590745,
      0.25360496590844844,
      0.2502823197043121,
      0.24700286977052138,
      0.2437663625802402,
      0.24057243871258488,
      0.2374206689463082,
      0.23431057906573877,
      0.23124168909571483,
      0.22821363241912793,
      0.22522604798492085,
      0.22227851195166462,
      0.21937052342141328,
      0.2165015014585463,
      0.21367087352319203,
      0.21087808597788218,
      0.20812260041485775,
      0.20540389142536908,
      0.20272144464562528,
      0.20007475568346297,
      0.19746332917094073,
      0.1948866782206509,
      0.19234432382547403,
      0.18983579474747195,
      0.1873606269035408,
      0.18491836330188913,
      0.18250855394404225,
      0.18013075554035538,
      0.1777845313307345,
      0.1754694510479504,
      0.17318509070648672,
      0.1709310324960271,
      0.16870686472218033,
      0.16651218154633424,
      0.16434658321160336,
      0.16220967566131,
      0.1601010704840036,
      0.15802038496301504,
      0.15596724165758868,
      0.15394126860907262,
      0.1519420991805369,
      0.1499693719496515,
      0.14802273064132412,
      0.14610182404959576,
      0.14420630594879424,
      0.14233583498072963,
      0.14049007466434682,
      0.13866869313962188,
      0.136871363186054,
      0.13509776224212272,
      0.13334757228632713,
      0.13162047978258323,
      0.12991617554421953,
      0.12823435463021066,
      0.12657471640082035,
      0.1249369643131058,
      0.12332080598382826,
      0.12172595315077359,
      0.1201521214690402,
      0.11859903039639676,
      0.11706640344028368,
      0.11555396791559357,
      0.11406145488665194,
      0.11258859906387847,
      0.11113513882088008,
      0.10970081603862974,
      0.10828537625436385,
      0.10688856844675071,
      0.10551014504942809,
      0.10414986182303029,
      0.10280747785935457,
      0.10148275564143305,
      0.10017546073966287,
      0.09888536195101243,
      0.09761223126489037,
      0.0963558437126341,
      0.09511597741833959,
      0.09389240703539962,
      0.09268488766320326,
      0.0914931810343726,
      0.09031706077692019,
      0.08915630936194624,
      0.08801071623000319,
      0.08688007635040333,
      0.08576418929065444,
      0.08466285864009408,
      0.0835758915597371,
      0.0825030983130261,
      0.08144429214204355,
      0.08039928903984284,
      0.0793679076599415,
      0.07834996921016159,
      0.07734529734909747,
      0.0763537181997445,
      0.0753750601589075,
      0.07440915396629233,
      0.07345583255267873,
      0.07251493121787737,
      0.07158628739057378,
      0.0706697407049192,
      0.06976513285588869,
      0.06887230765648683,
      0.06799111104835885,
      0.06712139095194188,
      0.06626299733036865,
      0.06541578204810695,
      0.06457959904496852,
      0.06375430424105336,
      0.06293975518833873,
      0.062135811514046034,
      0.0613423347478865,
      0.06055918823964773,
      0.059786237016409734,
      0.059023347887922635,
      0.05827038948541636,
      0.057527232129073534,
      0.05679374792774107,
      0.05606981064356163,
      0.055355295696602566,
      0.05465008000996744,
      0.053954042344463125,
      0.053267062933677764,
      0.05258902367201274,
      0.0519198078984086,
      0.05125930049753058,
      0.05060738783486648,
      0.04996395784991357,
      0.04932889117527084,
      0.04870203590992895,
      0.04808324471583999,
      0.04747238534416757,
      0.04686933636796747,
      0.0462739842259024,
      0.045686221222493724,
      0.04510594396121151,
      0.044533052433397204,
      0.043967449454335665,
      0.04340904000520941,
      0.04285773096522043,
      0.042313430853936525,
      0.04177604972660828,
      0.04124549903368607,
      0.040721691482596016,
      0.0402045410413947,
      0.03969396276882687,
      0.039189872903130335,
      0.03869218878045168,
      0.03820082891335256,
      0.03771571275895175,
      0.037236760840447435,
      0.03676389473298519,
      0.036297037059876504,
      0.0358361112702306,
      0.03538104188082404,
      0.03493175437229423,
      0.03448817521010354,
      0.034050231805336194,
      0.033617852539847566,
      0.0331909666170749,
      0.03276950420524442,
      0.032353396320367066,
      0.03194257700858151,
      0.03153698147086882,
      0.031136524193739402,
      0.030741112152137644,
      0.03035066227782847,
      0.02996509871611908,
      0.029584350872448293,
      0.0292083519755938,
      0.028837038151942863,
      0.028470347717766454,
      0.02810822085232676,
      0.027750599204712584,
      0.027397425535344522,
      0.027048643701912203,
      0.026704198532078772,
      0.02636403574425474,
      0.026028101795788853,
      0.025696343915027578,
      0.025368710034875824,
      0.0250451487034139,
      0.024725609162477548,
      0.024410041371526803,
      0.02409839600263929,
      0.02379062422187861,
      0.02348667782891755,
      0.023186509195582714,
      0.022890071352835696,
      0.02259731792127382,
      0.022308203069556963,
      0.022022681595667865,
      0.021740708826166424,
      0.021462240555725307,
      0.02118723319198649,
      0.020915643693021922,
      0.020647429646686394,
      0.020382549085350397,
      0.02012096062054565,
      0.019862623236299254,
      0.019607496465406722,
      0.019355540434487072,
      0.019106715688588422,
      0.0188609833356559,
      0.018618304944808792,
      0.018378642484904274,
      0.018141958493592382,
      0.017908215968479854,
      0.017677378260319537,
      0.01744940926012502,
      0.017224273391244684,
      0.01700193542520927,
      0.01678236058556297,
      0.016565514538577547,
      0.01635136330964257,
      0.01613987341068603,
      0.015931011817215995,
      0.015724745794190646,
      0.015521043066599141,
      0.015319871750199153,
      0.015121200449123713,
      0.014924998069180921,
      0.014731233842114014,
      0.014539877554923215,
      0.014350899246682865,
      0.014164269339405903,
      0.013979958712776682,
      0.013797938513399813,
      0.013618180302750145,
      0.01344065591991485,
      0.013265337511232548,
      0.013092197688062527,
      0.012921208834645048,
      0.012752335551603886,
      0.012585539795906228,
      0.012420787741138785,
      0.01225804847394083,
      0.01209729323043012,
      0.011938494927191696,
      0.011781627597167943,
      0.011626666357660695,
      0.01147358709670937,
      0.01132236625098374,
      0.011172980713633299,
      0.011025407800770133,
      0.010879625308798392,
      0.010735611312764686,
      0.01059334424580674,
      0.01045280282239018,
      0.010313966047910773,
      0.010176813263459879,
      0.01004132400834003,
      0.009907478022548764,
      0.009775255275249063,
      0.009644636134378196,
      0.00951560123863639,
      0.009388131332625088,
      0.009262207337343847,
      0.009137810549111036,
      0.00901492240698559,
      0.00889352469340684,
      0.008773599310164927,
      0.008655128334529019,
      0.008538094158848023,
      0.008422479376865976,
      0.008308266785473853,
      0.008195439444407482,
      0.00808398044422296,
      0.00797387317092268,
      0.007865101227861911,
      0.007757648447879415,
      0.0076514988552261794,
      0.007546636666416648,
      0.0074430462346426135,
      0.007340712153886993,
      0.007239619140990059,
      0.007139752134958395
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567785103559112,
      10.340194071496583,
      10.105931002089461,
      9.867638282267626,
      9.627526358541246,
      9.387543601627558,
      9.149354186889582,
      8.914355950083404,
      8.683692856066386,
      8.458239658647585,
      8.238601409486286,
      8.025130790963201,
      7.817952334996359,
      7.616993853648342,
      7.422023310848569,
      7.232684189684735,
      7.048531030976188,
      6.86906269042594,
      6.693751783758577,
      6.522069903372002,
      6.35350861649525,
      6.187596116983796,
      6.023907575165056,
      5.862079764468194,
      5.701823622501402,
      5.54292171094408,
      5.385226249375626,
      5.228660853322699,
      5.073222628427576,
      4.91898583388244,
      4.766084569651224,
      4.614697598035905,
      4.465064253831215,
      4.31747870254453,
      4.172278339022153,
      4.029832504535009,
      3.89054439278294,
      3.7548310454875793,
      3.6230897374030495,
      3.495685970389742,
      3.3729445636159907,
      3.2551430069746976,
      3.1425075543226195,
      3.0352099807425073,
      2.9333671555485465,
      2.8370395731702707,
      2.746229214606053,
      2.6608861846684886,
      2.580909173367458,
      2.5061399067249526,
      2.4363614825326407,
      2.37132138414851,
      2.3107426269272304,
      2.2543251875654358,
      2.2017421940417097,
      2.152626971305449,
      2.1065815036794486,
      2.063237876253255,
      2.0222561324615733,
      1.983304925516217,
      1.946098149273648,
      1.9104125320647503,
      1.8760737915028463,
      1.8429419064436487,
      1.8109013280272033,
      1.7798514922979094,
      1.749709505992402,
      1.7204083901143747,
      1.6918929265738911,
      1.664115416315626,
      1.6370322560575605,
      1.6106059111236262,
      1.5848040246606308,
      1.5595981529234897,
      1.5349628633262937,
      1.5108750879629869,
      1.4873136571558534,
      1.4642589591466484,
      1.4416926907187713,
      1.4195976708468268,
      1.397957698659083,
      1.3767574518155865,
      1.3559830579354823,
      1.335621701386067,
      1.3156608692362615,
      1.296088415225678,
      1.2768929295647262,
      1.2580637896313507,
      1.239590608670475,
      1.221463235208587,
      1.2036718020301624,
      1.1862067524298765,
      1.1690588543812173,
      1.1522192042441746,
      1.1356792243654354,
      1.1194312695871498,
      1.10346863085461,
      1.0877848886438477,
      1.0723735376725496,
      1.0572280283625133,
      1.0423418561117166,
      1.0277086202098296,
      1.0133220613105416,
      0.9991760835465169,
      0.9852647676543441,
      0.9715823766266747,
      0.9581233571221568,
      0.9448823378151116,
      0.931854285617933,
      0.919035263567789,
      0.9064214635807687,
      0.8940087567920847,
      0.8817929655746052,
      0.8697699225159277,
      0.8579355087433084,
      0.8462856796197742,
      0.8348164790994742,
      0.8235240496549592,
      0.8124046360768252,
      0.8014545879447336,
      0.7906714147700812,
      0.780053301184442,
      0.7695979540528113,
      0.7593027870797824,
      0.7491650449327816,
      0.7391818868438965,
      0.7293504418884578,
      0.7196678452998553,
      0.7101312620029244,
      0.7007379019643566,
      0.6914847479304599,
      0.6823683413126385,
      0.6733854317039082,
      0.6645330554839682,
      0.6558084650353032,
      0.6472090793900828,
      0.6387324497579712,
      0.6303762360730485,
      0.6221381889692158,
      0.6140161378927432,
      0.6060079819787259,
      0.5981116831252073,
      0.5903252611094493,
      0.5826467894005464,
      0.5750743919017078,
      0.5676062405508175,
      0.5602405529471124,
      0.5529755901897614,
      0.5458096552895458,
      0.5387410916539875,
      0.5317682814232021,
      0.5248896444778949,
      0.518103636853799,
      0.5114087496381514,
      0.504803507844162,
      0.4982864692961981,
      0.49185622365700565,
      0.48551139145101824,
      0.47925062313865563,
      0.4730725981198232,
      0.4669760237979365,
      0.46095963496282055,
      0.45502219273382977,
      0.4491624839572603,
      0.44337932047626866,
      0.43767153843031054,
      0.4320379974851412,
      0.4264775801489028,
      0.4209891911266044,
      0.4155717566897863,
      0.41022422419194166,
      0.4049455614517561,
      0.3997347562363013,
      0.39459081554083303,
      0.3895127652515258,
      0.38449964955871363,
      0.37955053055354754,
      0.3746644877820031,
      0.36984061765623,
      0.36507793594692295,
      0.3603752612239811,
      0.3557314848093049,
      0.3511456001492208,
      0.3466166755955641,
      0.3421438353219923,
      0.3377262462357013,
      0.3333631086521374,
      0.3290536496334055,
      0.32479711844631115,
      0.3205927834010575,
      0.31643992973023927,
      0.31233785740824593,
      0.308285880228276,
      0.30428332473536546,
      0.30032952961169757,
      0.29642384506808034,
      0.2925656322534669,
      0.2887542728928893,
      0.28498929262915973,
      0.2812702760847295,
      0.27759675212114066,
      0.27396821397928595,
      0.27038435674399625,
      0.2668450262469453,
      0.26334999560781736,
      0.2598990027516196,
      0.2564916971812162,
      0.2531278672823129,
      0.2498075042353309,
      0.2465304551396228,
      0.24329642645726338,
      0.24010503122702434,
      0.2369558212879714,
      0.2338483092387625,
      0.2307820780251931,
      0.22775678700577567,
      0.2247720352569832,
      0.2218273719792565,
      0.21892226677969281,
      0.21605612520274128,
      0.21322837046636692,
      0.21043844604094145,
      0.2076858116715439,
      0.20496994060484403,
      0.2022903176410773,
      0.19964643776370364,
      0.19703780526497636,
      0.19446393293245243,
      0.1919243415353973,
      0.18941855962277526,
      0.1869461231612088,
      0.18450657512728377,
      0.18209946544656644,
      0.1797243507842796,
      0.17738079433923912,
      0.17506836579369303,
      0.1727866411388822,
      0.17053520264421693,
      0.16831363861903187,
      0.1661215433492668,
      0.1639585169220496,
      0.1618241653072897,
      0.1597181000795197,
      0.15763993846642566,
      0.15558930319654346,
      0.15356582233627378,
      0.15156912925646052,
      0.1495988624860527,
      0.14765466579067588,
      0.14573618801128196,
      0.14384308285405964,
      0.14197500894217524,
      0.1401316298692911,
      0.13831261390520783,
      0.13651763387437105,
      0.13474636728326508,
      0.1329984960800616,
      0.1312737066825854,
      0.1295716899558928,
      0.12789214101929572,
      0.12623475921286104,
      0.1245992480641522,
      0.1229853152365021,
      0.121392672445576,
      0.11982103542706209,
      0.11827012378380589,
      0.11673966104225085,
      0.11522937452436972,
      0.1137389953403202,
      0.11226825817682504,
      0.11081690147924775,
      0.10938466726401802,
      0.10797130100041996,
      0.10657655179640822,
      0.105200172042899,
      0.10384191758486397,
      0.10250154762353747,
      0.10117882467493537,
      0.09987351429765329,
      0.0985853853973299,
      0.09731420996364282,
      0.09605976314217636,
      0.09482182312018032,
      0.09360017099090634,
      0.09239458206963337,
      0.09120481413668838,
      0.09003063336618937,
      0.08887181712372431,
      0.08772815146843717,
      0.08659942899270717,
      0.0854854477871386,
      0.08438601042895776,
      0.08330092336533562,
      0.08222999649873045,
      0.08117304270517531,
      0.08012987779587831,
      0.07910032040384016,
      0.07808419164181375,
      0.07708131515756726,
      0.07609151702642004,
      0.07511462573534936,
      0.0741504720390226,
      0.07319888909129306,
      0.07225971217188165,
      0.07133277881545985,
      0.07041792869105466,
      0.06951500351491864,
      0.06862384718697012,
      0.06774430577333763,
      0.0668762272484856,
      0.06601946167401042,
      0.06517386107007772,
      0.06433927933885739,
      0.06351557238240368,
      0.06270259805927098,
      0.06190021604057452,
      0.06110828788245997,
      0.060326676937185617,
      0.05955524836314881,
      0.058793869058787834,
      0.05804240775576405,
      0.05730073484863962,
      0.05656872247902386,
      0.05584624443832552,
      0.05513317623287181,
      0.05442939504718476,
      0.05373477955443036,
      0.053049210159113354,
      0.05237256880991606,
      0.05170473890177863,
      0.0510456053449349,
      0.05039505473260012,
      0.04975297506606395,
      0.04911925577497425,
      0.04849376574556085,
      0.047876351630033946,
      0.04726687371390858,
      0.04666520543428012,
      0.04607122969137235,
      0.0454848363483512,
      0.04490592042566119,
      0.044334380881776526,
      0.043770119793929724,
      0.0432130416049722,
      0.042663052891384536,
      0.04212006202522549,
      0.041583978915739596,
      0.04105471496717878,
      0.04053218291186569,
      0.04001629665139492,
      0.039506971446035384,
      0.039004123555642346,
      0.038507670416033174,
      0.03801753048230325,
      0.03753362327987891,
      0.03705586943094585,
      0.03658419055783944,
      0.036118509349423615,
      0.03565874941215527,
      0.03520483538543491,
      0.03475669284131668,
      0.034314248299407546,
      0.03387742929616763,
      0.03344616418775554,
      0.0330203822806532,
      0.03260001377174915,
      0.03218498974284487,
      0.03177524424760783,
      0.031370714124507135,
      0.0309713359828042,
      0.03057703234305397,
      0.03018771021944446,
      0.029803284589703133,
      0.02942367847293562,
      0.02904882063799619,
      0.02867864413861228,
      0.028313085250259135,
      0.027952082658091095,
      0.027595577048530537,
      0.02724351052429089,
      0.026895826533786426,
      0.02655246976755017,
      0.02621338564909956,
      0.025878520621015724,
      0.025547821769804625,
      0.02522123698779277,
      0.024898714966325335,
      0.024580205007689974,
      0.024265657195739705,
      0.023955022085728615,
      0.023648250892514055,
      0.023345295573140683,
      0.02304610867041338,
      0.022750643260736243,
      0.02245885305647685,
      0.022170692269361806,
      0.021886115679189754,
      0.021605078628424753,
      0.021327537139848342,
      0.021053447757045728,
      0.02078276752680068,
      0.020515453970834065,
      0.02025146512920694,
      0.01999075973312464,
      0.01973329696045053,
      0.019479036383906308,
      0.019227938213462335,
      0.018979963133959617,
      0.018735072189329502,
      0.018493227011398175,
      0.018254389752341626,
      0.018018522987126792,
      0.017785589757675208,
      0.01755555354252783,
      0.017328378323659688,
      0.017104028546798926,
      0.016882469071462684,
      0.016663665115640366,
      0.01644758234837319,
      0.016234186984272016,
      0.01602344565744002,
      0.01581532532240675,
      0.015609793347177528,
      0.015406817474277322,
      0.01520636600604718,
      0.015008407470385038,
      0.014812910808981141,
      0.01461984541467187,
      0.014429181062083454,
      0.01424088791013419,
      0.014054936461227898,
      0.013871297598193303,
      0.013689942629261704,
      0.013510843092688617,
      0.013333970893297548,
      0.013159298281282218,
      0.012986797921459842,
      0.012816442843247762,
      0.012648206404954187,
      0.012482062208215294,
      0.012317984198087944,
      0.012155942510216278,
      0.011995900533835159,
      0.011837824323780622,
      0.011681683203629898,
      0.01152744889505688,
      0.011375094808902525,
      0.01122459564209423,
      0.011075927195710393,
      0.010929066108200623,
      0.010783989566729808,
      0.010640675376616561,
      0.010499101735249849,
      0.01035924715270444,
      0.010221090581404513,
      0.010084611316132199,
      0.009949788823562327,
      0.009816602960874114,
      0.009685033820195612,
      0.009555061726912638,
      0.009426667289696145,
      0.009299831362403931,
      0.009174534981940702,
      0.00905075940184908,
      0.008928486184065918,
      0.008807697069382758,
      0.008688374013960647,
      0.008570499296650214,
      0.008454055290196537,
      0.008339024684987088,
      0.008225390319163119,
      0.008113135219405645,
      0.008002242623414119,
      0.007892695971329794,
      0.007784478968028297,
      0.007677575500170618,
      0.007571969604442684,
      0.007467645475199757,
      0.007364587523165205,
      0.0072627803969557165,
      0.007162208929183366,
      0.0070628581150829215
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567776453313442,
      10.340166081934862,
      10.105876280824164,
      9.867552542988838,
      9.627407002847225,
      9.387389401159519,
      9.14916522534914,
      8.914132901787672,
      8.68343674034929,
      8.45795157257092,
      8.238282207168588,
      8.024781276077661,
      7.8175731795884,
      7.616585551330044,
      7.421586160592806,
      7.232218304157481,
      7.048036363125132,
      6.868539077868848,
      6.693199002418188,
      6.521487727575215,
      6.352896882547573,
      6.186954821837018,
      6.023236962181127,
      5.861380441935588,
      5.70109653905755,
      5.5421681577002335,
      5.384447915751693,
      5.227859870046256,
      5.072401516968226,
      4.918147511226577,
      4.765232494977982,
      4.613835653937786,
      4.464196619841169,
      4.316609794014557,
      4.171412729603321,
      4.028975012269824,
      3.889700321765918,
      3.7540055777086274,
      3.622287667037197,
      3.494911626119712,
      3.3722017456488795,
      3.254434920528034,
      3.1418367761673407,
      3.0345784857200746,
      2.932776321543046,
      2.83648996538977,
      2.7457206609588685,
      2.66041772852183,
      2.5804790601354712,
      2.5057453967090946,
      2.4359991511951886,
      2.3709876762522852,
      2.3104339085309,
      2.254037651118011,
      2.2014717324612874,
      2.1523691897218415,
      2.1063321366649483,
      2.062993257701783,
      2.0220128027327964,
      1.9830599173669468,
      1.9458492258307896,
      1.9101580639317026,
      1.875812619099521,
      1.84267320497826,
      1.8106244879929716,
      1.7795660421406894,
      1.7494151731163832,
      1.7201050448079076,
      1.6915805405443711,
      1.663794067970724,
      1.6367020782142703,
      1.6102670585572068,
      1.5844566657964656,
      1.559242464776197,
      1.534599027044624,
      1.510503285997748,
      1.4869340714891697,
      1.4638717700193737,
      1.4412980754958753,
      1.4191958033209486,
      1.397548748329308,
      1.3763415931055267,
      1.3555604751133352,
      1.335192567464271,
      1.315225348482296,
      1.2956466646069595,
      1.2764451451093042,
      1.2576101663057757,
      1.2391313199537468,
      1.2209984388886814,
      1.2032016435857373,
      1.18573136797874,
      1.168578372888961,
      1.1517337488903623,
      1.1351889136762545,
      1.118936245702649,
      1.102969047417077,
      1.0872808883103342,
      1.0718652499338488,
      1.0567155725003685,
      1.0418253437004623,
      1.027188157417841,
      1.0127977495277516,
      0.9986480205755773,
      0.9847330480416223,
      0.9710470923534757,
      0.957584597739627,
      0.9443401906844917,
      0.9313089235350706,
      0.9184869874860544,
      0.9058705864410439,
      0.8934555462101565,
      0.88123762389667,
      0.8692126069167257,
      0.8573763456290541,
      0.8457247737209806,
      0.8342539207326998,
      0.8229599184380884,
      0.8118390043116115,
      0.800887650727667,
      0.7901035551802611,
      0.7794847943677413,
      0.7690289987772678,
      0.7587335301166369,
      0.7485955979210729,
      0.7386123372059452,
      0.7287808603420787,
      0.7190982909274881,
      0.7095617862135352,
      0.7001685505949651,
      0.6909155953033155,
      0.6817994635668381,
      0.6728168908447397,
      0.6639649038584926,
      0.6552407479148701,
      0.6466418374997276,
      0.6381657209710112,
      0.6298100556403871,
      0.621572590446195,
      0.6134511535455421,
      0.6054436428244675,
      0.5975480193176412,
      0.5897623021380454,
      0.5820845639251029,
      0.5745129283670369,
      0.5670455669806523,
      0.5596806967060366,
      0.5524165782965661,
      0.5452515141901423,
      0.5381838472666529,
      0.5312119595077933,
      0.5243342701593807,
      0.5175492348007803,
      0.5108553440306282,
      0.5042511226406654,
      0.49773512785892005,
      0.49130594887960694,
      0.48496220593070605,
      0.47870254891027786,
      0.47252565679114483,
      0.4664302366024549,
      0.4604150226543651,
      0.4544787757300809,
      0.44862028229975726,
      0.4428383539379922,
      0.43713182621137175,
      0.4314995583095884,
      0.4259404323563959,
      0.42045335265723177,
      0.41503724503838246,
      0.40969105643379716,
      0.40441375433972393,
      0.39920432609009676,
      0.39406177825820043,
      0.38898513639184157,
      0.3839734443708134,
      0.3790257637450293,
      0.37414117366559446,
      0.3693187701642683,
      0.3645575400448496,
      0.3598562986139277,
      0.3552139472693886,
      0.35062948645113357,
      0.34610198923393093,
      0.3416305829703958,
      0.3372144366443023,
      0.3328527518304084,
      0.32854475632788915,
      0.3242896998731076,
      0.32008685090167865,
      0.31593549468025633,
      0.3118349311366048,
      0.3077844738836209,
      0.3037834493023783,
      0.2998311958232327,
      0.2959270631617433,
      0.2920704122207969,
      0.2882606423494897,
      0.28449730472270707,
      0.28077996946220884,
      0.2771081551763594,
      0.2734813542939062,
      0.269899286891796,
      0.26636179674571764,
      0.2628686586735366,
      0.2594196013073501,
      0.25601428730461,
      0.25265262128271226,
      0.24933457917550886,
      0.24605995558828994,
      0.24282842095618287,
      0.2396395635191625,
      0.23649291814254383,
      0.2333880179140852,
      0.2303245108980039,
      0.22730202684420125,
      0.22432013290234365,
      0.22137835661072758,
      0.2184761414274989,
      0.21561288184208938,
      0.2127879985502494,
      0.21000093332833591,
      0.2072511447171579,
      0.20453810510256723,
      0.20186129872515116,
      0.19922022028094363,
      0.19661437368819262,
      0.19404327157688275,
      0.19150643470967638,
      0.18900339157535997,
      0.1865336779616709,
      0.18409683683863545,
      0.1816924180802644,
      0.17931997835581268,
      0.17697908094814868,
      0.17466929552503338,
      0.17239019805288056,
      0.17014137080285688,
      0.16792240202933992,
      0.16573288597552913,
      0.1635724228370822,
      0.16144061863971126,
      0.1593370849604598,
      0.15726143896948278,
      0.15521330330823913,
      0.15319230619303903,
      0.1511980810122555,
      0.14923026638979717,
      0.1472885060913276,
      0.1453724488943551,
      0.14348174858707644,
      0.14161606386751294,
      0.13977505828198455,
      0.13795840001921514,
      0.1361657620234974,
      0.1343968217784085,
      0.13265126131429614,
      0.13092876712131934,
      0.12922903009507633,
      0.12755174538806252,
      0.12589661230582558,
      0.1242633344639131,
      0.12265161953900112,
      0.12106117925515195,
      0.11949172950389322,
      0.11794298992427464,
      0.11641468402926325,
      0.11490653915363075,
      0.1134182864206841,
      0.11194966066428917,
      0.1105004002800687,
      0.10907024730487554,
      0.1076589474191891,
      0.10626624961161704,
      0.10489190642083786,
      0.10353567375675082,
      0.10219731075200113,
      0.10087657994910955,
      0.09957324707887052,
      0.09828708114266917,
      0.09701785418137546,
      0.09576534134741473,
      0.09452932079018764,
      0.09330957372375996,
      0.09210588430142494,
      0.09091802855702803,
      0.08974576736940768,
      0.08858887107788692,
      0.08744712078818737,
      0.08632030590685151,
      0.08520822228554376,
      0.08411067096208452,
      0.08302745735655916,
      0.08195839064235601,
      0.0809032833603652,
      0.07986195106096866,
      0.07883421217362378,
      0.0778198877402294,
      0.07681880140333329,
      0.07583077924747013,
      0.07485564982776526,
      0.07389324392437388,
      0.07294339465804371,
      0.07200593737900413,
      0.07108070963051734,
      0.07016755116515647,
      0.06926630390553062,
      0.06837681186843675,
      0.06749892105226778,
      0.06663247950334764,
      0.06577733733576081,
      0.06493334658082509,
      0.06410036134242922,
      0.06327823764865884,
      0.06246683333244112,
      0.061666008176850154,
      0.060875623806825846,
      0.06009554363834119,
      0.05932563298104397,
      0.058565758765889916,
      0.057815789784746,
      0.05707559660293118,
      0.056345051481700666,
      0.05562402824022495,
      0.054912402466977345,
      0.05421005137815791,
      0.05351685380041356,
      0.05283269006041893,
      0.05215744219563258,
      0.05149099372257574,
      0.05083322972570796,
      0.050184036745554,
      0.04954330292055001,
      0.0489109178452734,
      0.04828676910613733,
      0.04767071466859367,
      0.047062605240851436,
      0.04646230774768167,
      0.04586970067296259,
      0.04528467082963379,
      0.04470711099532412,
      0.04413691881784855,
      0.043573995367317826,
      0.04301824450010927,
      0.04246957240813597,
      0.0419278872665722,
      0.041393098860177106,
      0.04086511849301964,
      0.040343858846358084,
      0.03982923385804768,
      0.0393211586413979,
      0.03881954961588518,
      0.03832432428899209,
      0.03783540123702412,
      0.03735270003876048,
      0.036876141359382546,
      0.03640564690499549,
      0.035941139387435476,
      0.035482542543957864,
      0.03502978114173577,
      0.03458278075732815,
      0.03414146795689567,
      0.03370577032751921,
      0.03327561638832553,
      0.03285093552787001,
      0.032431658004711095,
      0.03201771502503575,
      0.03160904056600991,
      0.031205571522406574,
      0.030807244610095024,
      0.030413996376686358,
      0.03002575793416665,
      0.02964243942901501,
      0.029263953452313324,
      0.028890221589021346,
      0.02852117187546536,
      0.02815673714399001,
      0.02779685367914048,
      0.027441460459555624,
      0.027090498518542148,
      0.026743910579969048,
      0.02640164070369446,
      0.026063634108196586,
      0.025729836981465314,
      0.025400196410521717,
      0.025074660206077556,
      0.02475317694637099,
      0.024435696017619496,
      0.0241221675176187,
      0.02381254213042999,
      0.02350677116227793,
      0.023204806567073445,
      0.02290660091747259,
      0.022612107314387033,
      0.022321279566020164,
      0.02203407204507835,
      0.021750439637318222,
      0.021470337812890903,
      0.02119372259175291,
      0.020920550587888966,
      0.020650778934587798,
      0.020384365218342037,
      0.020121267560638114,
      0.019861444740248764,
      0.01960485597444208,
      0.019351461064508666,
      0.019101220129920136,
      0.018854093929386567,
      0.018610043668706763,
      0.01836903105863934,
      0.01813101836855253,
      0.017895968151084754,
      0.017663843579008538,
      0.017434608160785067,
      0.017208225972919954,
      0.016984661385348633,
      0.016763879449999658,
      0.016545845502797682,
      0.01633052530129579,
      0.01611788511949262,
      0.01590789151368457,
      0.015700511566837248,
      0.015495712702032519,
      0.015293462841179118,
      0.01509373020271366,
      0.014896483406012467,
      0.014701691577428013,
      0.014509324216384172,
      0.014319351107587808,
      0.0141317424378933,
      0.01394646869209858,
      0.013763500817001706,
      0.013582810171200353,
      0.013404368425351995,
      0.01322814748288056,
      0.013054119719623732,
      0.012882257881908393,
      0.012712534985823244,
      0.012544924408768558,
      0.012379399924792723,
      0.01221593550650101,
      0.012054505464466533,
      0.011895084556421215,
      0.011737647799262686,
      0.011582170243800028,
      0.01142862011625888,
      0.011276962591734595,
      0.011127166603771192,
      0.010979203767794475,
      0.01083304781190464,
      0.010688673945810767,
      0.010546058604752918,
      0.010405179038962325,
      0.010266013179973645,
      0.010128539522131741,
      0.009992737006407897,
      0.00985858497603667,
      0.009726063178137151,
      0.009595151652520778,
      0.009465830659629306,
      0.009338080812908557,
      0.009211882888356648,
      0.009087218009995663,
      0.00896406763284989,
      0.008842413304793866,
      0.008722236810549651,
      0.008603520182794469,
      0.008486245682615821,
      0.008370395755239488,
      0.008255953107504767,
      0.008142900639969163,
      0.00803122146254292,
      0.007920898910852944,
      0.007811916506319167,
      0.007704257942301317,
      0.007597907121950965,
      0.007492848222265452,
      0.00738906553014083,
      0.007286543507951616,
      0.007185266783474695,
      0.007085220229444397,
      0.0069863889678348536
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567767817714236,
      10.34013813196471,
      10.10582162873123,
      9.867466887270934,
      9.627287720793216,
      9.387235241792627,
      9.148976254564705,
      8.913909781284374,
      8.683180477223985,
      8.45766318278955,
      8.237962544009074,
      8.02443114324372,
      7.817193251306986,
      7.6161763235474655,
      7.421147934390244,
      7.231751183918002,
      7.047540295905859,
      6.868013903807899,
      6.69264449944934,
      6.520903671399,
      6.352283112404804,
      6.186311337055044,
      6.022564008074872,
      5.860678628468454,
      5.700366818159535,
      5.541411822367141,
      5.383666657073921,
      5.227055820464312,
      5.071577201258812,
      4.917305850450059,
      4.764376950392555,
      4.612970109261347,
      4.463325257791207,
      4.315737034474366,
      4.170543152140416,
      4.02811346906241,
      3.888852146274541,
      3.75317595503842,
      3.6214813954442153,
      3.4941330388659346,
      3.3714546479677288,
      3.253722525511153,
      3.141161666199042,
      3.0339426413341557,
      2.932181126374386,
      2.835935991020535,
      2.745207743643745,
      2.6599449117739886,
      2.5800446021934054,
      2.505346571099711,
      2.4356325473470255,
      2.3706497533077804,
      2.3101210457593284,
      2.2537460524891526,
      2.20119729977441,
      2.152107458744617,
      2.1060788610695056,
      2.062744789059272,
      2.021765696203943,
      1.9828112169956884,
      1.9455967021887,
      1.9099000930276946,
      1.875548044696793,
      1.8424012046136469,
      1.8103444524122547,
      1.7792774986609212,
      1.7491178475293603,
      1.7197988048297768,
      1.6912653551451722,
      1.663470012329781,
      1.6363692820683624,
      1.6099256738274856,
      1.5841068591194643,
      1.5588844109918052,
      1.5342329056791655,
      1.5101292778939384,
      1.4865523564963077,
      1.4634825261470448,
      1.440901477797365,
      1.4187920230101956,
      1.397137953041992,
      1.3759239557759553,
      1.3551361786547647,
      1.3347617832752805,
      1.3147882389195493,
      1.295203384339996,
      1.2759958881020002,
      1.257155125805867,
      1.2386706676182684,
      1.2205323306910665,
      1.202730223612422,
      1.1852547710801,
      1.1680967266917308,
      1.1512471752725075,
      1.1346975298546516,
      1.1184401928621497,
      1.1024684781981886,
      1.0867759441742229,
      1.0713560591896756,
      1.0562022534705267,
      1.041308007480733,
      1.0266669089117828,
      1.012272689349147,
      0.9981192457345088,
      0.9842006523297236,
      0.9705111667833889,
      0.9570452312424738,
      0.9437974700983514,
      0.9307630560419129,
      0.9179382574646062,
      0.9053192639495923,
      0.8929019055541503,
      0.8806818716344496,
      0.8686549035033406,
      0.8568168193719495,
      0.8451635305421763,
      0.8336910511302815,
      0.8223955022729857,
      0.8112731138877085,
      0.8003204859404089,
      0.7895355010397643,
      0.7789161232095457,
      0.7684599073574803,
      0.7581641633792657,
      0.7480260656305527,
      0.738042725342412,
      0.7282112386111869,
      0.7185287180057693,
      0.7089923128707182,
      0.6995992223042253,
      0.6903464859418298,
      0.6812306482636343,
      0.6722484310205422,
      0.6633968514714995,
      0.6546731484243881,
      0.6460747315824886,
      0.6375991458859684,
      0.629244046143237,
      0.6210071796902609,
      0.6128863734363992,
      0.6048795241863736,
      0.5969845922542574,
      0.5891995959513251,
      0.5815226074842893,
      0.5739517498338849,
      0.5664851937811146,
      0.5591211559262813,
      0.5518578964871318,
      0.5446937175444263,
      0.5376269615638656,
      0.5306560099984494,
      0.523779281800002,
      0.5169952319481854,
      0.5103023506890477,
      0.5036991623210089,
      0.49718422396605005,
      0.4907561242548038,
      0.4844134827186653,
      0.4781549488772777,
      0.4719792013824013,
      0.46588494691826615,
      0.459870919268361,
      0.4539358788827556,
      0.4480786118323884,
      0.44229792909433263,
      0.43659266594196183,
      0.4309616811133621,
      0.4254038564477366,
      0.41991809582291545,
      0.4145033247443242,
      0.4091584897994739,
      0.4038825578794174,
      0.3986745159062619,
      0.39353337017964596,
      0.3884581458019818,
      0.383447886183959,
      0.37850165255625917,
      0.37361852361652154,
      0.3687975951095571,
      0.36403782506714955,
      0.35933802537152754,
      0.35469710748780153,
      0.3501140787134801,
      0.34558801676013473,
      0.3411180523264438,
      0.33670335642312593,
      0.33234313177056113,
      0.32803660703169185,
      0.3237830324240823,
      0.3195816766596134,
      0.31543182478270376,
      0.3113327767226875,
      0.30728384594667146,
      0.3032843585149293,
      0.299333652676737,
      0.29543107802750157,
      0.2915759950905873,
      0.28776782173660614,
      0.2840061331547653,
      0.28029048498662823,
      0.27662038589768895,
      0.27299533832921413,
      0.2694150823728759,
      0.2658794489250925,
      0.26238821585670474,
      0.25894110366843465,
      0.2555378315524332,
      0.25217840204053815,
      0.2488627298775157,
      0.24559056465865745,
      0.2423615458608085,
      0.2391752405141101,
      0.23603116872265698,
      0.23292893372826012,
      0.22986819724418447,
      0.22684854980100752,
      0.2238695320345671,
      0.22093064860315698,
      0.21803132160166647,
      0.21517094097782735,
      0.2123489252191782,
      0.209564714654752,
      0.20681776682676972,
      0.204107553490015,
      0.20143355838856408,
      0.1987952758279136,
      0.19619220956639635,
      0.19362387215018168,
      0.19108978429471712,
      0.18858947431122663,
      0.18612247802162524,
      0.18368833833531195,
      0.18128660510994268,
      0.17891683496498578,
      0.17657859116288924,
      0.1742714433536323,
      0.1719949675385494,
      0.1697487459611604,
      0.16753236693120804,
      0.16534542467043198,
      0.16318751938347353,
      0.16105825707139396,
      0.15895724939196307,
      0.15688411355452944,
      0.15483847228701023,
      0.15281995367188694,
      0.15082819115581933,
      0.14886282336443818,
      0.14692349410995362,
      0.14500985213981982,
      0.1431215513449402,
      0.14125825043593013,
      0.13941961291302943,
      0.1376053070949019,
      0.13581500595818533,
      0.13404838698448643,
      0.13230513222469245,
      0.13058492817339942,
      0.12888746570164003,
      0.12721243995218162,
      0.1255595504131438,
      0.12392850068764708,
      0.1223189985560286,
      0.12073075582853668,
      0.1191634882173522,
      0.11761691542444896,
      0.11609076105794126,
      0.1145847525356382,
      0.11309862097531777,
      0.11163210127554543,
      0.11018493196066995,
      0.10875685512014453,
      0.10734761639191291,
      0.10595696486222325,
      0.1045846531290838,
      0.10323043706633193,
      0.10189407592300566,
      0.1005753322813942,
      0.09927397194391196,
      0.09798976385603803,
      0.0967224800977013,
      0.09547189586613755,
      0.09423778952039898,
      0.09301994236962388,
      0.0918181386243269,
      0.09063216538312097,
      0.08946179979026932,
      0.0883068058454344,
      0.08716695783365906,
      0.0860420404752766,
      0.08493184628885235,
      0.08383617430645127,
      0.08275482848232056,
      0.08168761703628505,
      0.08063435174553739,
      0.07959484780027828,
      0.078568923353322,
      0.07755639932581004,
      0.07655709927357669,
      0.0755708493046758,
      0.0745974778057184,
      0.07363681571716847,
      0.07268869627413276,
      0.07175295485097453,
      0.07082942906811988,
      0.06991795868449793,
      0.06901838562801481,
      0.06813055397395887,
      0.06725430987378642,
      0.06638950148505211,
      0.06553597899502578,
      0.06469359458152871,
      0.06386220239076085,
      0.06304165840795897,
      0.06223182059889396,
      0.06143254882636821,
      0.06064370481847871,
      0.05986515210893201,
      0.05909675599967819,
      0.058338383485977086,
      0.05758990346110877,
      0.05685118661663188,
      0.05612210525062508,
      0.05540253331441897,
      0.05469234639847312,
      0.05399142179449846,
      0.05329963844955103,
      0.05261687677358179,
      0.051943018910754965,
      0.051277948473120845,
      0.05062155056952495,
      0.04997371186550895,
      0.04933432053780095,
      0.04870326623466687,
      0.048080440003553,
      0.04746572341848157,
      0.04685896672942973,
      0.04626002845570555,
      0.04566878128408012,
      0.04508510812606145,
      0.04450889914023084,
      0.04394005000734549,
      0.043378460535227446,
      0.04282403375061538,
      0.042276675407138115,
      0.04173629321111369,
      0.04120279679966281,
      0.04067609723567796,
      0.04015610722474272,
      0.039642740698355466,
      0.03913591290814423,
      0.0386355401683885,
      0.03814154009625711,
      0.03765383133479033,
      0.03717233352842238,
      0.03669696737214185,
      0.036227654715532236,
      0.03576431830550045,
      0.03530688191105806,
      0.034855270337482154,
      0.034409409358536654,
      0.03396922565256784,
      0.03353464687565266,
      0.03310560160165707,
      0.03268201926903462,
      0.03226383022336821,
      0.03185096570273577,
      0.03144335981416914,
      0.031040949511828817,
      0.03064367156783609,
      0.030251462605231053,
      0.02986425929860839,
      0.02948199830176708,
      0.02910459805877998,
      0.028731968229457245,
      0.028364028686247156,
      0.02800070656233627,
      0.02764193419545989,
      0.02728764786791428,
      0.02693778677807914,
      0.0265922923001156,
      0.02625110764018158,
      0.02591417737879677,
      0.025581447368647144,
      0.02525286440802144,
      0.024928376229840128,
      0.024607931494368483,
      0.024291479499086666,
      0.023978970260142587,
      0.023670354494870843,
      0.023365583574915586,
      0.023064609514188268,
      0.02276738493344299,
      0.02247386314836384,
      0.0221839979103284,
      0.021897743607013284,
      0.02161505524271782,
      0.02133588838936167,
      0.021060199095076417,
      0.02078794399823361,
      0.020519080412254757,
      0.020253566050016703,
      0.019991359119015607,
      0.019732418443897545,
      0.0194767033114388,
      0.01922417355273482,
      0.018974789417544016,
      0.018728511730258534,
      0.018485301825490085,
      0.01824512142173352,
      0.018007932757858083,
      0.017773698540177605,
      0.017542382044699937,
      0.017313946852145025,
      0.01708835701037513,
      0.016865577122697817,
      0.016645572183415037,
      0.01642830759342219,
      0.016213749240828874,
      0.016001863462453608,
      0.015792616867440372,
      0.015585976619861646,
      0.015381910214357733,
      0.01518038555867014,
      0.01498137098777563,
      0.014784835343286864,
      0.014590747711158142,
      0.014399077535977255,
      0.014209794768203823,
      0.014022869651032003,
      0.013838272666973453,
      0.013655974893133287,
      0.013475947709603834,
      0.01329816278878413,
      0.013122592251570794,
      0.012949208538970454,
      0.012777984367496328,
      0.01260889282574803,
      0.012441907370536059,
      0.012277001780099795,
      0.012114150178489044,
      0.011953326978544232,
      0.011794506819585153,
      0.011637664792414796,
      0.011482776284402417,
      0.011329816933684681,
      0.01117876267360569,
      0.011029589752776063,
      0.010882273681881731,
      0.010736783183636446,
      0.010593085922060996,
      0.010451152891409087,
      0.01031095746882852,
      0.010172474928264723,
      0.010035681974641594,
      0.009900556219887816,
      0.009767076165214262,
      0.009635220970402153,
      0.009504970232070054,
      0.009376303948249525,
      0.009249202643428557,
      0.009123647005785027,
      0.008999618161435097,
      0.008877097428466455,
      0.008756066320016423,
      0.008636506770727848,
      0.008518400843219021,
      0.008401730848492769,
      0.008286479270106051,
      0.00817262891818477,
      0.008060162709187472,
      0.007949063757927085,
      0.007839315419434788,
      0.007730901300039284,
      0.007623805211971951,
      0.0075180110908489505,
      0.007413503136121284,
      0.007310265691890809,
      0.007208283229885574,
      0.007107540581246409,
      0.007008022698734686,
      0.0069097146359679285
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567759192082566,
      10.340110209286035,
      10.105767026043367,
      9.867381289466021,
      9.627168483662183,
      9.387081096642609,
      9.14878725134027,
      8.913686568111851,
      8.682924050201683,
      8.457374459830508,
      8.237642378576911,
      8.024080340630071,
      7.816812487264555,
      7.615766096139295,
      7.420708546069715,
      7.231282733919774,
      7.047042708022131,
      6.867487024751188,
      6.692088112709432,
      6.520317557382303,
      6.3516671132958225,
      6.185665455432104,
      6.0218884913420725,
      5.859974089620012,
      5.699634211743007,
      5.5406524439942535,
      5.382882196890032,
      5.226248410596995,
      5.070749371847701,
      4.916460528015719,
      4.763517600948636,
      4.612100622299212,
      4.462449822536687,
      4.314860078357277,
      4.169669264356466,
      4.027247510202382,
      3.8879994595402114,
      3.7523417368648033,
      3.620670454892657,
      3.493349720404314,
      3.3707027679339907,
      3.2530053091359115,
      3.1404817075462423,
      3.033301931603804,
      2.93158105929808,
      2.8353771478277983,
      2.744689970753175,
      2.6594671938784042,
      2.5796051258622548,
      2.504942643085833,
      2.4352607906477526,
      2.3703066579408483,
      2.3098030195206505,
      2.253449325168956,
      2.200917796167158,
      2.151840675754987,
      2.105820582367461,
      2.0624913895639074,
      2.0215137503352616,
      1.982557782908556,
      1.9453395605427324,
      1.909637625901017,
      1.8752790994397375,
      1.842124959857446,
      1.8100602980040466,
      1.7789849594508125,
      1.7488166465877453,
      1.7194888069887146,
      1.6909465264173669,
      1.66314242484995,
      1.6360330621713122,
      1.6095809701661723,
      1.5837538347696865,
      1.5585232377835516,
      1.5338637594867888,
      1.5097523365637995,
      1.4861677973071399,
      1.4630905242746828,
      1.4405022054742005,
      1.418385649221975,
      1.396724642841552,
      1.375503880398928,
      1.354709518691185,
      1.3343287078532917,
      1.314348908498287,
      1.2947579558931837,
      1.2755445549460296,
      1.256698076890912,
      1.2382080716996493,
      1.2200643410762388,
      1.2022569817630833,
      1.1847764099329507,
      1.1676133724254114,
      1.150758948587173,
      1.1342045550027453,
      1.1179426140930604,
      1.1019664428841198,
      1.0862695897911978,
      1.0708455106858232,
      1.0556876268403839,
      1.0407894115116385,
      1.0261444474421872,
      1.011746461496624,
      0.997589347094642,
      0.9836671756694398,
      0.9699742023319936,
      0.9565048669856234,
      0.9432537920750621,
      0.9302163161287433,
      0.9173887238711855,
      0.904767156773378,
      0.8923474796255955,
      0.8801253450885592,
      0.8680964436920872,
      0.8562565593834315,
      0.8446015797912694,
      0.8331275021283833,
      0.8218304360335467,
      0.8107066031645593,
      0.7997527558790848,
      0.7889669281389347,
      0.7783469735031371,
      0.7678903732359422,
      0.7575943870936976,
      0.7474561552590503,
      0.7374727653943107,
      0.7276412976871107,
      0.7179588536861585,
      0.7084225751672689,
      0.6990296557856158,
      0.6897771636881416,
      0.6806616450947639,
      0.6716798077986138,
      0.6628286594986228,
      0.6541054323804529,
      0.6455075316219127,
      0.6370324988232847,
      0.6286779865712732,
      0.620441740397515,
      0.612321585761679,
      0.6043154185404297,
      0.5964211981485724,
      0.5886369423490125,
      0.5809607226591594,
      0.573390661374522,
      0.5659249290700517,
      0.5585617418238386,
      0.5512993593391419,
      0.5441360832331602,
      0.5370702555011088,
      0.5301002573408798,
      0.5232245071497607,
      0.5164414596059593,
      0.5097496043668134,
      0.5031474653064287,
      0.49663359884740066,
      0.4902065935043325,
      0.48386506853261785,
      0.47760767306176444,
      0.47143308515723353,
      0.46534001107043954,
      0.45932718419788976,
      0.4533933645925966,
      0.4475373380144229,
      0.4417579150065924,
      0.4360539303824843,
      0.4304242423886815,
      0.424867732208319,
      0.4193833035800031,
      0.413969881593708,
      0.4086264123440671,
      0.4033518624518761,
      0.3981452184309058,
      0.39300548615719627,
      0.3879316904421186,
      0.3829228742793902,
      0.3779780985301978,
      0.37309644161677535,
      0.3682769986915264,
      0.3635186990638497,
      0.3588203514184279,
      0.35418087728515385,
      0.34959929099468484,
      0.34507467484231724,
      0.34060616247666786,
      0.33619292691985075,
      0.33183417228796624,
      0.32752912795051803,
      0.32327704458812445,
      0.31907719108091237,
      0.31492885256126074,
      0.3108313290029401,
      0.3067839334776624,
      0.302785991957486,
      0.29883684237431607,
      0.29493583395192174,
      0.2910823270136971,
      0.28727577345384436,
      0.28351575188867606,
      0.2798018051885672,
      0.27613343323268685,
      0.27251014931682893,
      0.26893171579469416,
      0.26539795740914,
      0.2619086499238194,
      0.25846349870913854,
      0.25506234326749616,
      0.25170520472332963,
      0.24839193989402567,
      0.2451222586668558,
      0.24189577322770925,
      0.23871203181224768,
      0.23557058244020823,
      0.23247108838082664,
      0.2294131724460735,
      0.226396394239228,
      0.22342027324271682,
      0.22048429386616933,
      0.2175878601098048,
      0.21473036033218945,
      0.21191121192130036,
      0.20912985429970038,
      0.20638574452055664,
      0.2036783540345682,
      0.20100716631190482,
      0.1983716754881376,
      0.1957713852923116,
      0.1932058080874456,
      0.1906744645305913,
      0.1881768829722564,
      0.18571259915434987,
      0.18328115592541325,
      0.18088210321476023,
      0.1785149976798954,
      0.1761794024341283,
      0.1738748872096646,
      0.17160102809183686,
      0.16935740732039214,
      0.16714361320802135,
      0.16495923999170628,
      0.16280388784579497,
      0.16067716274528293,
      0.15857867634466152,
      0.156508045884728,
      0.15446489412079062,
      0.1524488491708573,
      0.15045954442298384,
      0.14849661855273913,
      0.14655971538413465,
      0.14464848382872003,
      0.142762577686648,
      0.14090165567184465,
      0.13906538141335992,
      0.13725342320422984,
      0.13546545405030966,
      0.13370115145973702,
      0.13196019746864815,
      0.13024227864874854,
      0.12854708589358788,
      0.1268743143515957,
      0.1252236635377825,
      0.12359483717285313,
      0.12198754293367595,
      0.1204014926426566,
      0.11883640222203799,
      0.11729199140687886,
      0.11576798382032391,
      0.11426410687036417,
      0.11278009176724488,
      0.11131567343879821,
      0.10987059050868736,
      0.10844458506444868,
      0.10703740271679602,
      0.10564879265796005,
      0.10427850745187135,
      0.1029263031160275,
      0.10159193902367689,
      0.10027517776705061,
      0.09897578516471255,
      0.09769353022902492,
      0.0964281851575717,
      0.09517952518244617,
      0.09394732860221137,
      0.0927313767669281,
      0.09153145397207493,
      0.09034734748371076,
      0.08917884736402946,
      0.08802573221422823,
      0.08688776927758499,
      0.0857647365570426,
      0.08465642210444768,
      0.08356262171020236,
      0.08248313724537353,
      0.08141777553215324,
      0.08036634750310588,
      0.07932866759521025,
      0.07830455359882055,
      0.07729382623268899,
      0.07629630885366212,
      0.07531182755143666,
      0.07434021069012077,
      0.07338128915485491,
      0.07243489612725658,
      0.07150086709509602,
      0.07057903969849905,
      0.06966925384211461,
      0.06877135156370161,
      0.06788517696835768,
      0.06701057623359268,
      0.06614739763489177,
      0.06529549144228854,
      0.06445470980205499,
      0.06362490696886108,
      0.06280593910979629,
      0.06199766427482787,
      0.06119994233589036,
      0.060412635107773685,
      0.05963560623147795,
      0.05886872110215897,
      0.05811184683578006,
      0.05736485241410399,
      0.05662760849583781,
      0.05589998746337142,
      0.05518186332354889,
      0.054473111754029385,
      0.05377361021037709,
      0.05308323768024412,
      0.05240187478381409,
      0.05172940362582508,
      0.05106570791410755,
      0.050410672832889664,
      0.04976418509975337,
      0.04912613296162641,
      0.04849640612047237,
      0.047874895664173266,
      0.04726149422238936,
      0.0466560718219892,
      0.046058479305357745,
      0.04546858206923461,
      0.04488625790500308,
      0.044311393644982745,
      0.04374388263571229,
      0.043183623089000665,
      0.042630516985945534,
      0.04208446923746613,
      0.041545387129559005,
      0.04101317999731858,
      0.04048775881763894,
      0.03996903618060857,
      0.039456925980520294,
      0.03895134335400907,
      0.03845220472766895,
      0.037959427657592845,
      0.03747293087686409,
      0.03699263419158006,
      0.03651845847048951,
      0.03605032546317638,
      0.03558815802925114,
      0.03513188008212596,
      0.03468141642568967,
      0.03423669288681449,
      0.033797636226286745,
      0.03336417418988425,
      0.03293623540423481,
      0.03251374943534409,
      0.032096646666037634,
      0.031684858494663806,
      0.03127831893979899,
      0.030876965047929285,
      0.030480733787782405,
      0.03008956174079762,
      0.029703385692871988,
      0.029322142822825727,
      0.02894577074308079,
      0.028574198983212874,
      0.028207339117268703,
      0.02784510842446037,
      0.02748743252576504,
      0.027134243041881327,
      0.02678547579265222,
      0.026441070066169622,
      0.026100967414086042,
      0.02576511151862087,
      0.025433447450486518,
      0.025105921587637414,
      0.02478248125891663,
      0.024463074875180034,
      0.02414765172736954,
      0.02383616174972031,
      0.023528555616439045,
      0.023224784796670086,
      0.022924801364444913,
      0.02262855804003972,
      0.022336008042923457,
      0.022047105271228086,
      0.021761804229182672,
      0.021480059957203895,
      0.02120182800196289,
      0.020927064614390086,
      0.020655726595841375,
      0.020387771255972412,
      0.0201231564157645,
      0.019861840343934317,
      0.01960378189884518,
      0.01934894044351258,
      0.019097275819982804,
      0.01884874840828265,
      0.01860331915554381,
      0.01836094941659583,
      0.018121601006093266,
      0.017885236271436976,
      0.017651817951571776,
      0.017421309323583125,
      0.017193674052205402,
      0.016968876371977134,
      0.016746880946968,
      0.016527652846712808,
      0.01631115744737139,
      0.016097360703257235,
      0.01588622907681725,
      0.015677729305402302,
      0.015471828531646305,
      0.015268494333640291,
      0.015067694712215883,
      0.014869398048282781,
      0.01467357319504447,
      0.014480189234950121,
      0.014289215784732847,
      0.014100622869777268,
      0.013914380825640922,
      0.013730460372658,
      0.013548832469213264,
      0.013369468547767516,
      0.013192340339008915,
      0.013017419945501155,
      0.01284467992320353,
      0.012674093091068594,
      0.012505632564199155,
      0.012339271845950637,
      0.01217498471087229,
      0.01201274536276855,
      0.011852528320826956,
      0.011694308338695489,
      0.011538060489895467,
      0.011383760178160363,
      0.011231383200014006,
      0.011080905535252032,
      0.010932303532671163,
      0.010785553817192237,
      0.010640633280725181,
      0.010497519049033458,
      0.010356188601642618,
      0.010216618888920984,
      0.010078780364080806,
      0.009942642178570387,
      0.009808176767559061,
      0.009675358933812966,
      0.009544165182589636,
      0.0094145732989646,
      0.009286562247948583,
      0.009160111576467145,
      0.009035201454321257,
      0.008911812539068632,
      0.008789925861948125,
      0.008669522785118552,
      0.008550585081283124,
      0.008433094817644364,
      0.008317034323713614,
      0.008202386134719901,
      0.008089132929328184,
      0.00797725773533952,
      0.007866743812003916,
      0.007757574552622354,
      0.0076497334639160225,
      0.007543204438443493,
      0.007437971487675331,
      0.007334018838465597,
      0.0072313309346073605,
      0.007129892433141395,
      0.007029688118583213,
      0.006930703027809674,
      0.006832922213035997
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567750578453136,
      10.340082321676764,
      10.105712481511345,
      9.867295717383158,
      9.62704922761076,
      9.38692687544301,
      9.148598108998371,
      8.913463146750438,
      8.682667339660945,
      8.457085371460895,
      8.23732176042271,
      8.023728993836334,
      7.816431084430728,
      7.615355132520082,
      7.420268322380521,
      7.230813324638023,
      7.046544008202172,
      6.866958881757233,
      6.691530315165987,
      6.519729891817903,
      6.351049426000728,
      6.185017750862599,
      6.021211020214393,
      5.859267468077338,
      5.698899397779178,
      5.5398907359786405,
      5.382095265700288,
      5.225438372197939,
      5.069918763737106,
      4.91561228545254,
      4.76265519629021,
      4.611227950792502,
      4.461571080672722,
      4.3139797022375,
      4.168791851460512,
      4.026377929301386,
      3.8871430629642036,
      3.7515037307118084,
      3.6198556575797727,
      3.4925624861216775,
      3.3699469220537974,
      3.2522840850060803,
      3.139797708253141,
      3.0326571568621543,
      2.930976910473542,
      2.8348142131667173,
      2.744168106210448,
      2.658985396502157,
      2.57916144548656,
      2.504534417829294,
      2.4348846741418644,
      2.3699591699678924,
      2.3094805954407844,
      2.253148219865127,
      2.200633956739999,
      2.15156958436713,
      2.1055580204710185,
      2.0622337570801874,
      2.0212576413677716,
      1.9823002707151645,
      1.9450784361761966,
      1.909371278389138,
      1.8750063802515256,
      1.84184504935077,
      1.8097725868453318,
      1.7786889715726708,
      1.748512103103087,
      1.7191755705808294,
      1.6906245608435386,
      1.6628117991013223,
      1.6356938994975028,
      1.6092334161209259,
      1.5833980496482964,
      1.55815939057331,
      1.5334920240971435,
      1.5093728885054936,
      1.4857808115813678,
      1.4626961738074884,
      1.440100660600494,
      1.417977076993899,
      1.3963092064613092,
      1.3750817485370397,
      1.3542808701481155,
      1.3338937107068642,
      1.3139077213336294,
      1.2943107529886348,
      1.2750915375497822,
      1.2562394223617381,
      1.2377439397572112,
      1.2195948782458021,
      1.2017823252868538,
      1.1842966893667684,
      1.1671287109023205,
      1.1502694642547957,
      1.133710376009952,
      1.1174438857418765,
      1.1014633082732894,
      1.0857621838182028,
      1.0703339565021786,
      1.055172038310865,
      1.040269896082509,
      1.025621107182157,
      1.0112193942435315,
      0.9970586473513176,
      0.9831329350462418,
      0.969436509941596,
      0.95596380973947,
      0.9427094551859604,
      0.9296689508465069,
      0.9168385978287121,
      0.9042144755570468,
      0.8917924666233534,
      0.8795682327914546,
      0.8675374096153275,
      0.8556957428719668,
      0.8440390942563407,
      0.8325634428984611,
      0.8212648855150207,
      0.8101396351038727,
      0.7991846939938585,
      0.7883981148349393,
      0.7777776527980006,
      0.7673207221594575,
      0.7570245374491552,
      0.7468862075024388,
      0.736902799041792,
      0.7270713775892048,
      0.7173890348048633,
      0.7078529057672874,
      0.6984601792509734,
      0.6892079449917509,
      0.6800927603175524,
      0.671111318661728,
      0.6622606176133755,
      0.6535378828748002,
      0.6449405147301005,
      0.6364660514542586,
      0.6281121431984885,
      0.6198765334511998,
      0.6117570465170384,
      0.6037515773087018,
      0.595858084458758,
      0.5880745848665294,
      0.5803991496045351,
      0.5728299003999084,
      0.5653650071029558,
      0.5580026852588408,
      0.550741194247538,
      0.5435788353368975,
      0.536513950216778,
      0.5295449194356502,
      0.5226701608475757,
      0.5158881286868287,
      0.509197312489071,
      0.5025962355597191,
      0.49608345396093406,
      0.48965755564183117,
      0.4833171595134093,
      0.4770609142959266,
      0.47088749767711896,
      0.46479561537824543,
      0.45878400059067087,
      0.45285141276977414,
      0.4469966372136269,
      0.441218484133996,
      0.4355157879088384,
      0.42988740657092733,
      0.4243322209505348,
      0.41884913411133406,
      0.4134370708527007,
      0.4080949768240822,
      0.4028218183724561,
      0.3976165816502488,
      0.3924782720803182,
      0.38740591405094627,
      0.38239855028575775,
      0.377455241219531,
      0.372575064738045,
      0.3677571140202128,
      0.3630002905278019,
      0.35830340143411454,
      0.35366537816580185,
      0.34908524161515303,
      0.3445620785844565,
      0.34009502573569844,
      0.3356832579370157,
      0.3313259806365338,
      0.32702242399870096,
      0.3227718391155594,
      0.31857349516158456,
      0.3144266771780731,
      0.31033068488908716,
      0.30628483137470763,
      0.3022884422865177,
      0.29834085526001436,
      0.2944414194219872,
      0.2905894947888124,
      0.28678456728553586,
      0.28302621889877055,
      0.27931397968343036,
      0.275647340560049,
      0.27202582564549754,
      0.2684492196856808,
      0.2649173415266259,
      0.2614299646234886,
      0.25798681047306504,
      0.25458783145579694,
      0.25123302467490455,
      0.24792219501202495,
      0.2446550166270924,
      0.24143107720434295,
      0.23824990996777948,
      0.23511113822808571,
      0.23201442566847805,
      0.22895935635094228,
      0.22594546357473302,
      0.22297224896943624,
      0.22003917885189328,
      0.2171456404653228,
      0.2142910214978749,
      0.21147473885545665,
      0.20869623178049101,
      0.20595495703802344,
      0.20325038597361753,
      0.20058200189121989,
      0.1979492988121697,
      0.19535178040123177,
      0.19278895908258886,
      0.19026035548212764,
      0.18776549791510844,
      0.1853039220826604,
      0.18287517096411698,
      0.18047879440886092,
      0.17811434898621264,
      0.17578139787703437,
      0.17347951080725277,
      0.17120826384474952,
      0.16896723918055548,
      0.1667560251483825,
      0.16457421618323728,
      0.16242141243374317,
      0.16029721980304362,
      0.15820124993426413,
      0.15613312016773775,
      0.154092453239995,
      0.15207887722014193,
      0.15009202554359707,
      0.14813153699114992,
      0.14619705540960415,
      0.14428822958042564,
      0.14240471338879965,
      0.140546165651314,
      0.13871224993918985,
      0.13690263457438118,
      0.13511699253815024,
      0.1333550014125758,
      0.1316163432852662,
      0.1299007047631591,
      0.1282077767201234,
      0.12653725440792118,
      0.12488883745949232,
      0.12326222955003126,
      0.12165713845264207,
      0.12007327607468758,
      0.11851035827848365,
      0.11696810481009659,
      0.11544623931695285,
      0.11394448937828337,
      0.11246258623006608,
      0.11100026473720859,
      0.10955726353066775,
      0.10813332481319006,
      0.10672819430435493,
      0.1053416211908625,
      0.10397335807565108,
      0.10262316107852212,
      0.10129078954160939,
      0.09997600600643655,
      0.09867857645633964,
      0.09739826999184356,
      0.09613485881567613,
      0.0948881182729016,
      0.09365782669225668,
      0.0924437655363973,
      0.09124571918801425,
      0.09006347491151381,
      0.08889682285646455,
      0.08774555607129601,
      0.0866094551880017,
      0.0854882904465282,
      0.08438184331700473,
      0.08328990506684204,
      0.08221227451607808,
      0.08114875649507274,
      0.08009916050295601,
      0.07906330017868225,
      0.07804099265365624,
      0.07703205818779867,
      0.07603631994413286,
      0.07505360382185791,
      0.07408373815295805,
      0.07312655377676597,
      0.07218188397425347,
      0.07124956422659731,
      0.07032943222368075,
      0.0694213278520371,
      0.06852509323848027,
      0.06764057257626349,
      0.06676761213686726,
      0.06590606027681412,
      0.06505576732811849,
      0.0642165855753802,
      0.06338836930407865,
      0.06257097473833186,
      0.06176425996040659,
      0.060968084974084166,
      0.06018231162547883,
      0.05940680359456191,
      0.058641426428495104,
      0.05788604732085337,
      0.05714053540954785,
      0.05640476143915217,
      0.055678597747536585,
      0.0549619184620132,
      0.054254599444579985,
      0.05355651808139399,
      0.05286755343115663,
      0.05218758621444555,
      0.051516498618442416,
      0.05085417438379541,
      0.05020049888496394,
      0.049555358863209976,
      0.048918642709194785,
      0.048290240210834355,
      0.04767004260548468,
      0.04705794255489928,
      0.04645383001221206,
      0.04585756593358233,
      0.04526900614296183,
      0.0446880218956451,
      0.04411449550482635,
      0.04354831724393626,
      0.04298938328165324,
      0.04243759423784718,
      0.04189285406193528,
      0.041355069308904126,
      0.040824148998243805,
      0.040300003928750265,
      0.03978254636583251,
      0.039271690256456236,
      0.038767350674148424,
      0.03826944409864142,
      0.037777888172910286,
      0.03729260158246129,
      0.03681350407210948,
      0.036340516600382955,
      0.03587356111072905,
      0.03541256057684186,
      0.03495743886723303,
      0.03450812094748452,
      0.03406453275285446,
      0.033626601061184806,
      0.0331942536108699,
      0.032767419200410944,
      0.03234602747379529,
      0.03193000894776864,
      0.03151929500760069,
      0.03111381973130508,
      0.03071352019231958,
      0.03031833332538801,
      0.029928196071860678,
      0.029543045218768098,
      0.029162818013821038,
      0.02878745217747422,
      0.028416885980607272,
      0.028051056687307563,
      0.02768988371797863,
      0.027333281098796767,
      0.026981172413049346,
      0.02663348815063477,
      0.026290163683684302,
      0.02595113803435886,
      0.025616353019291008,
      0.025285752474767244,
      0.02495928206273666,
      0.024636888631670163,
      0.024318520154933614,
      0.024004125597053366,
      0.023693654847638832,
      0.023387058556936145,
      0.02308428810795542,
      0.0227852955532956,
      0.022490033592925687,
      0.022198455592432383,
      0.02191051551472073,
      0.02162616793072156,
      0.021345367962271555,
      0.02106807126681048,
      0.020794234156427758,
      0.020523813460048577,
      0.020256766541976935,
      0.019993051192082924,
      0.01973262588653952,
      0.019475449523376973,
      0.019221481554097777,
      0.01897068198373039,
      0.01872301125219633,
      0.01847843031473082,
      0.018236900660569273,
      0.017998384193829254,
      0.01776284326219191,
      0.017530240744816825,
      0.017300539925816715,
      0.01707370468748974,
      0.01684969920333434,
      0.016628488109294612,
      0.016410036530529217,
      0.016194310135408296,
      0.01598127486740736,
      0.015770897123220346,
      0.015563143881867723,
      0.015357982288918014,
      0.015155379991988795,
      0.014955305058448096,
      0.014757725951932794,
      0.014562611554938642,
      0.014369931123315033,
      0.014179654273560292,
      0.013991751035542961,
      0.013806191804874718,
      0.013622947424083185,
      0.01344198890274146,
      0.013263287666531502,
      0.013086815629451715,
      0.012912544962741156,
      0.012740448170308104,
      0.01257049813358642,
      0.012402668055897776,
      0.012236931541898489,
      0.012073262474790365,
      0.011911635079479501,
      0.011752023827722138,
      0.011594403611469357,
      0.011438749555283432,
      0.011285037077865536,
      0.011133241992797065,
      0.010983340330830543,
      0.01083530856393798,
      0.010689123392228066,
      0.010544761759779524,
      0.010402200872361076,
      0.010261418243936839,
      0.010122391689604689,
      0.009985099365704296,
      0.0098495195885974,
      0.009715630997755086,
      0.009583412484755421,
      0.009452837691895496,
      0.009323876873072944,
      0.009196503284631851,
      0.009070692564565483,
      0.008946422147297177,
      0.008823670755272612,
      0.008702418182062282,
      0.008582644996701241,
      0.008464332270413358,
      0.008347461623074332,
      0.008232015132094272,
      0.008117975096586606,
      0.008005324159014478,
      0.007894045281315298,
      0.007784121633612113,
      0.007675536661775072,
      0.0075682740287226725,
      0.007462317537685943,
      0.0073576512785236805,
      0.00725425945705223,
      0.0071521265431871315,
      0.007051237260644507,
      0.006951576438021827,
      0.00685312908922142,
      0.0067558805263856474
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567741965637117,
      10.340054428116737,
      10.105657918968932,
      9.8672099869218,
      9.626929666097348,
      9.386772201315774,
      9.14840836299123,
      8.913238967207947,
      8.682409716302935,
      8.456795214439184,
      8.236999914978538,
      8.023376259310368,
      7.816048131933991,
      7.614942457278482,
      7.41982622609573,
      7.23034185406236,
      7.04604304801221,
      6.866428271641298,
      6.69096984787227,
      6.519139355822443,
      6.350428670949148,
      6.184366784746447,
      6.020530093620236,
      5.858557198291316,
      5.698160745242278,
      5.539125002511143,
      5.3813041215447575,
      5.224623934621694,
      5.069083577019546,
      4.91475929263342,
      4.761787876848334,
      4.610350208252041,
      4.460687122017435,
      4.313093975866403,
      4.167908969260491,
      4.025502773621408,
      3.8862810018663314,
      3.750659987032564,
      3.619035067711974,
      3.4917694200144718,
      3.369185220258546,
      3.251556995392934,
      3.139107847626404,
      3.0320065373311036,
      2.930366943950707,
      2.8342454981052363,
      2.7436405093199956,
      2.658497926700262,
      2.5787121345781405,
      2.504120617313334,
      2.4345030514551267,
      2.369606257778166,
      2.309152840621526,
      2.252841887759824,
      2.2003450026860225,
      2.1512934688021845,
      2.1052905127582195,
      2.0619712682079046,
      2.0209967744290345,
      1.9820381053122134,
      1.9448127677043698,
      1.9091004982796052,
      1.8747293374248963,
      1.8415609217208389,
      1.8094807653458962,
      1.7783889787543479,
      1.74820365845765,
      1.7188585348654053,
      1.6902988957203482,
      1.6624775707203308,
      1.6353512282141756,
      1.6088824450299475,
      1.5830389359815313,
      1.557792300338568,
      1.5331171280286986,
      1.508990358462049,
      1.4853908197291052,
      1.4622988911772494,
      1.4396962555745556,
      1.4175657140227544,
      1.3958910465823617,
      1.3746569583532129,
      1.3538496269122797,
      1.333456180670314,
      1.3134640617535571,
      1.2938611360555152,
      1.2746361622361468,
      1.2557784641333927,
      1.237277556885197,
      1.219123216210756,
      1.201305519276382,
      1.1838148672029578,
      1.1666419942116186,
      1.149777969658845,
      1.133214230627954,
      1.1169432344516517,
      1.100958293345328,
      1.0852529386703509,
      1.0698206030254358,
      1.054654689689799,
      1.0397486588555276,
      1.0250960824910198,
      1.010690679290111,
      0.9965263355350374,
      0.982597117224448,
      0.9688972748285486,
      0.9554212439530032,
      0.9421636436018959,
      0.9291201443899665,
      0.9162870633663067,
      0.9036604180814415,
      0.8912360705408804,
      0.8790097250743316,
      0.8669769812537147,
      0.8551335426734303,
      0.8434752414642207,
      0.8319980366379642,
      0.8206980107803697,
      0.809571367080954,
      0.7986153575632167,
      0.7878280531938872,
      0.7772071102882541,
      0.7667498757731691,
      0.7564535185677315,
      0.7463151166174068,
      0.736331715248565,
      0.726500365523914,
      0.7168181490161242,
      0.7072821938573118,
      0.6978896841503212,
      0.6886377229803898,
      0.6795228897345456,
      0.670541862507088,
      0.6616916285184005,
      0.652969406020231,
      0.6443725902518298,
      0.635898716114375,
      0.6275454313265876,
      0.6193104774394868,
      0.6111916773276257,
      0.6031869248683763,
      0.5952941778914659,
      0.5875114526914434,
      0.5798368195698257,
      0.5722683996390475,
      0.5648043623843528,
      0.5574429229234646,
      0.5501823399354715,
      0.5430209144444255,
      0.5359569876599153,
      0.5289889395591868,
      0.5221151877087784,
      0.5153341861804885,
      0.5086444238305713,
      0.5020444235241425,
      0.4955327408871754,
      0.4891079636337593,
      0.48276871015216594,
      0.47651362870235037,
      0.4703413967204513,
      0.4642507195998001,
      0.45824032996959785,
      0.45230898683870635,
      0.4464554750162491,
      0.440678604354814,
      0.43497720881970897,
      0.4293501460994077,
      0.4237962966927642,
      0.4183145631869485,
      0.4129038700346699,
      0.4075631626382272,
      0.40229140678556385,
      0.3970875881346926,
      0.3919507118004382,
      0.3868798017147184,
      0.38187390029686036,
      0.3769320675962072,
      0.3720533812056194,
      0.3672369191718205,
      0.3624815614564046,
      0.3577861269422598,
      0.3531495547549631,
      0.34857087105628276,
      0.3440491663067048,
      0.33958357939097733,
      0.3351732866954011,
      0.33081749459926124,
      0.32651543385401766,
      0.32226635578174756,
      0.3180695296957336,
      0.3139242406708679,
      0.30982978806460093,
      0.3057854847468012,
      0.30179065631259133,
      0.2978446401872534,
      0.29394678506731853,
      0.2900964604627011,
      0.28629318154490024,
      0.28253652380038413,
      0.27882600611615116,
      0.27516111160551004,
      0.27154137584030963,
      0.26796660699413954,
      0.2644366176874518,
      0.26095117915497484,
      0.2575100676333421,
      0.2541133303704425,
      0.2507609006964497,
      0.24745253773850873,
      0.24418788430283678,
      0.24096650653613033,
      0.23778797432071133,
      0.23465195989799462,
      0.23155808202285622,
      0.22850589452237693,
      0.2254949101537141,
      0.22252461655238306,
      0.21959446335152139,
      0.21670382448201317,
      0.213852088114447,
      0.21103867151172626,
      0.20826301393265298,
      0.20552457237698368,
      0.20282281815882208,
      0.20015723475445413,
      0.1975273163057325,
      0.19493256649486215,
      0.19237249772275203,
      0.1898466306391565,
      0.18735449352750003,
      0.18489562212766616,
      0.18246955937461262,
      0.18007585515431582,
      0.17771406610215768,
      0.17538375548113158,
      0.17308449301298404,
      0.17081585459780166,
      0.16857742246280755,
      0.16636878503470967,
      0.16418953661184366,
      0.162039277414036,
      0.1599176134320549,
      0.15782415629222218,
      0.15575852322527287,
      0.15372033716513417,
      0.15170922629089406,
      0.1497248239079177,
      0.1477667688455321,
      0.1458347049163458,
      0.14392828102607189,
      0.14204715107528226,
      0.14019097378660292,
      0.1383594127178249,
      0.13655213628304777,
      0.1347688174384922,
      0.133009133903255,
      0.13127276786051928,
      0.12955940593314916,
      0.12786873905196305,
      0.12620046248354966,
      0.12455427576339224,
      0.12292988260436351,
      0.12132699088822142,
      0.11974531258780521,
      0.11818456354297419,
      0.11664446354175581,
      0.11512473628697074,
      0.1136251093689763,
      0.11214531406694372,
      0.11068508538466297,
      0.1092441619522683,
      0.10782228592092467,
      0.10641920307269023,
      0.10503466273905049,
      0.10366841762948635,
      0.10232022382423825,
      0.10098984072086492,
      0.09967703111960419,
      0.09838156088129661,
      0.09710319911100916,
      0.0958417180919623,
      0.09459689321130826,
      0.09336850296031093,
      0.09215632877991457,
      0.0909601550373759,
      0.08977976911489431,
      0.08861496121609506,
      0.0874655244116719,
      0.08633125457410733,
      0.08521193464591537,
      0.08410733805242326,
      0.08301724956221845,
      0.08194146359910552,
      0.08087978193229739,
      0.0798320120175544,
      0.07879796616423469,
      0.07777746061878615,
      0.0767703150349347,
      0.07577635221728593,
      0.07479539783198047,
      0.07382728015634238,
      0.0728718298447576,
      0.07192888007818478,
      0.07099826642102648,
      0.07007982663574729,
      0.06917340074751376,
      0.06827883078904157,
      0.06739596101769915,
      0.06652463788613297,
      0.06566470975376473,
      0.06481602695536286,
      0.0639784419245697,
      0.0631518090260524,
      0.06233598455412473,
      0.06153082673524622,
      0.06073619557552934,
      0.059951953036023506,
      0.059177962852680545,
      0.05841409061768159,
      0.05766020361302005,
      0.056916171031945205,
      0.05618186373734159,
      0.05545715417536107,
      0.05474191655920392,
      0.054036026837023035,
      0.05333936247843746,
      0.05265180271243456,
      0.05197322818939909,
      0.05130352126292257,
      0.05064256581629057,
      0.049990247142886426,
      0.04934645215308103,
      0.04871106925956555,
      0.04808398834167729,
      0.04746510066417308,
      0.04685429894154681,
      0.046251477420366886,
      0.045656520417654375,
      0.04506928247807848,
      0.04448962664767413,
      0.04391742950538282,
      0.043352577368819596,
      0.042794963705006094,
      0.042244487236690643,
      0.04170105079439745,
      0.041164560222219766,
      0.040634923887445565,
      0.04011205206244867,
      0.039595857007870015,
      0.03908625247797188,
      0.03858315355931546,
      0.03808647672152087,
      0.03759613948521737,
      0.03711206063789259,
      0.036634160044250005,
      0.03616235868675911,
      0.03569657854174191,
      0.03523674256117239,
      0.03478277482684516,
      0.03433460035244693,
      0.03389214515036133,
      0.03345533613991683,
      0.03302410119598434,
      0.03259836907393474,
      0.0321780694589916,
      0.03176313301277481,
      0.0313534911817692,
      0.030949078021891476,
      0.03054983070466625,
      0.030155686329437176,
      0.029766581735112325,
      0.029382453940266243,
      0.02900324029116733,
      0.028628878601722575,
      0.028259307148710073,
      0.0278944649457462,
      0.027534291644427604,
      0.027178718478893957,
      0.026827660339965354,
      0.026481038077584566,
      0.026138780458211365,
      0.025800821920989286,
      0.025467101068039087,
      0.025137559571993002,
      0.02481214154714975,
      0.024490792834386963,
      0.024173460719453713,
      0.023860093732822267,
      0.023550641461058865,
      0.023245054432078274,
      0.022943283972373423,
      0.022645282086201073,
      0.022351001477828772,
      0.02206039560161445,
      0.021773418275940613,
      0.02149002417052379,
      0.021210168514152774,
      0.020933807052940477,
      0.02066089609323944,
      0.02039139254045109,
      0.020125253819095575,
      0.019862437877899194,
      0.019602903190325902,
      0.019346608776250798,
      0.01909351422599348,
      0.0188435795418635,
      0.01859676530582156,
      0.018353032486944896,
      0.01811234259354833,
      0.017874657617918056,
      0.01763994007815998,
      0.0174081529029036,
      0.017179259470616947,
      0.016953223586853226,
      0.01673000965410879,
      0.016509582417632465,
      0.016291907056274323,
      0.01607694927495854,
      0.01586467508118375,
      0.01565505095703772,
      0.015448043848693523,
      0.01524362103018633,
      0.015041750274462416,
      0.014842399656672112,
      0.014645537734473161,
      0.01445113344380642,
      0.01425915605331161,
      0.014069575190167565,
      0.013882361070818862,
      0.013697484136032024,
      0.013514915214923035,
      0.01333462546776253,
      0.01315658642549017,
      0.012980769992566471,
      0.012807148381315624,
      0.012635694200015403,
      0.012466380345530452,
      0.012299180106889676,
      0.012134067092353502,
      0.011971015348426614,
      0.011809999200820558,
      0.011650993109194091,
      0.01149397187880645,
      0.011338910809482376,
      0.011185785496989358,
      0.011034571705664182,
      0.010885245546714469,
      0.010737783492609152,
      0.010592162233912208,
      0.01044835882318912,
      0.010306350565890184,
      0.010166115058494124,
      0.010027630215141047,
      0.009890874149114107,
      0.009755825195064924,
      0.009622462059497822,
      0.009490763756167331,
      0.009360709491886342,
      0.009232278744127027,
      0.009105451199486006,
      0.008980206871069369,
      0.008856524411655292,
      0.008734376340705178,
      0.00861373590924966,
      0.008494579054757898,
      0.008376883721486206,
      0.008260629271462656,
      0.00814579624458278,
      0.008032365881547085,
      0.00792032009477325,
      0.007809641321045286,
      0.007700312465514702,
      0.00759231673894439,
      0.007485637604794049,
      0.007380258879495556,
      0.007276164630874752,
      0.007173339026605197,
      0.0070717666282945285,
      0.006971432063570837,
      0.006872320239379784,
      0.006774416263813159,
      0.00667770529835372
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567733353533136,
      10.34002653165809,
      10.105603341002517,
      9.867124209702,
      9.626810002704552,
      9.386617347380403,
      9.148218342680396,
      8.913014407877231,
      8.682151594672051,
      8.456504430388087,
      8.23667730859492,
      8.0230226241938,
      7.815664134789094,
      7.614528589684803,
      7.4193827852382865,
      7.2298688844058105,
      7.0455404321470505,
      6.865895847849525,
      6.690407407346455,
      6.518546686576646,
      6.349805621818959,
      6.183713362061862,
      6.019846548153846,
      5.857844147826006,
      5.697419150739776,
      5.538356166284362,
      5.380509714865152,
      5.223806076458653,
      5.068244814292412,
      4.913902572993296,
      4.7609166831146315,
      4.609468447691865,
      4.459799005835266,
      4.312203958382842,
      4.167021670017993,
      4.024623084117991,
      3.8854143007084736,
      3.7498115071188725,
      3.618209655444536,
      3.4909714571400063,
      3.368418559184743,
      3.2508248959143917,
      3.1384129378518875,
      3.031350841122791,
      2.929751884634409,
      2.8336716848574937,
      2.7431078201446453,
      2.658005383310313,
      2.578257780521701,
      2.503701816069576,
      2.4341164820072576,
      2.369248464554219,
      2.308820281151549,
      2.2525308369259887,
      2.200051422816656,
      2.151012824347215,
      2.105018577362036,
      2.0617044561139974,
      2.0207316908983026,
      1.981771830065084,
      1.9445430947062157,
      1.9088258177560393,
      1.874448495118937,
      1.8412730927780427,
      1.8091853388360581,
      1.7780854743974572,
      1.7478917929996647,
      1.718538165977116,
      1.6899699820748801,
      1.6621401758593504,
      1.6350054700387362,
      1.6085284635973134,
      1.5826768863518832,
      1.557422346626535,
      1.532739438918004,
      1.508605104997535,
      1.4849981722308978,
      1.4618990178167004,
      1.439289322251765,
      1.4171518839645096,
      1.395470479147268,
      1.3742298188900068,
      1.3534160906377655,
      1.333016411793937,
      1.3130182158529013,
      1.2934093840664445,
      1.2741787015497903,
      1.2553154682160759,
      1.236809182210051,
      1.2186496066199501,
      1.200826808994916,
      1.1833311830628161,
      1.1661534570839809,
      1.14928469534728,
      1.1327163449711306,
      1.1164408810484603,
      1.1004516135508193,
      1.084742065457848,
      1.069305657148462,
      1.0541357834235296,
      1.0392258977050912,
      1.0245695668524792,
      1.0101605058095111,
      0.9959925975563139,
      0.9820599052406155,
      0.9683566767325172,
      0.9548773452399856,
      0.9416166143452112,
      0.9285702784608568,
      0.9157345840567284,
      0.9031055001145791,
      0.890678854897647,
      0.8784503970377411,
      0.8664157386383176,
      0.85457053839986,
      0.8429105974657997,
      0.8314318537731564,
      0.8201303756916339,
      0.8090024114552357,
      0.7980454338247073,
      0.7872574758708148,
      0.7766361040928268,
      0.7661786046167534,
      0.7558821046465013,
      0.7457436540157538,
      0.7357602788063627,
      0.7259290168214616,
      0.7162469406368358,
      0.7067111719643416,
      0.6973188905543684,
      0.6880672134633448,
      0.6789527417158115,
      0.6699721383304036,
      0.6611223802424839,
      0.6524006786159589,
      0.6438044237785471,
      0.635331147009525,
      0.6269784934486633,
      0.618744203146485,
      0.610626097400102,
      0.602622069005802,
      0.5947300748931031,
      0.5869481306791785,
      0.5792743060501645,
      0.5717067217601479,
      0.564243546804421,
      0.5568829958247388,
      0.5496233271576706,
      0.5424628411791667,
      0.5353998786971756,
      0.5284328193233874,
      0.5215600802375938,
      0.5147801148681329,
      0.5080914117489164,
      0.5014924934837525,
      0.4949819154159058,
      0.48855826456795914,
      0.4822201588572542,
      0.47596624623597483,
      0.4697952035578778,
      0.4637057359125702,
      0.4576965755169258,
      0.4517664810063901,
      0.44591423682435566,
      0.4401386524855372,
      0.4344385615894472,
      0.4288128213240039,
      0.4232603117757966,
      0.4177799351778682,
      0.4123706155801707,
      0.4070312979032701,
      0.40176094759802256,
      0.3965585500494018,
      0.39142310987884193,
      0.38635365075775824,
      0.3813492145393353,
      0.3764088610321803,
      0.3715316673756238,
      0.36671669652573313,
      0.36196280716372975,
      0.35726882961813844,
      0.3526337108559533,
      0.34805648229828473,
      0.343536237887719,
      0.33907211900013234,
      0.3346633036049037,
      0.3303089988358859,
      0.3260084359818752,
      0.32176086677381377,
      0.3175655604738549,
      0.3134218020380196,
      0.3093288908507314,
      0.305286139673117,
      0.3012928736494756,
      0.29734842979079024,
      0.2934521565519858,
      0.289603441147953,
      0.28580182419784983,
      0.2820468665265323,
      0.27833807698789387,
      0.27467493171968366,
      0.2710569850892606,
      0.2674840616380475,
      0.2639559737044728,
      0.2604724821328956,
      0.25703348402903536,
      0.2536390375218262,
      0.2502890171248727,
      0.24698314157940493,
      0.2437210259204638,
      0.24050222560793735,
      0.2373263827244444,
      0.23419315994317091,
      0.23110213763799917,
      0.2280528437480896,
      0.2250447733631995,
      0.22207740226310332,
      0.21915016018788727,
      0.2162624145741089,
      0.21341355424548722,
      0.21060299670003413,
      0.2078301815984852,
      0.2050945662294198,
      0.20239562199347183,
      0.1997328324918847,
      0.19710569183831136,
      0.19451370372312102,
      0.19195638060337492,
      0.18943324305397735,
      0.18694381949454278,
      0.184487645655408,
      0.1820642644169723,
      0.17967322569201258,
      0.1773140860955737,
      0.17498640888588687,
      0.1726897637945389,
      0.17042372689183594,
      0.16818788034709248,
      0.16598181249724459,
      0.16380511768335793,
      0.16165739611518276,
      0.15953825387271522,
      0.15744730261762457,
      0.1553841596444258,
      0.15334844773058537,
      0.1513397950527414,
      0.14935783510510398,
      0.14740220662036624,
      0.14547255344788335,
      0.1435685246374958,
      0.14168977401698135,
      0.13983596032381398,
      0.1380067472050633,
      0.1362018031047908,
      0.1344208010194436,
      0.13266341856568917,
      0.1309293379543255,
      0.1292182458254923,
      0.12752983322482447,
      0.1258637954340416,
      0.12421983208831455,
      0.12259764697656851,
      0.12099694794379982,
      0.1194174469655228,
      0.11785885998692704,
      0.116320906940536,
      0.11480331147765682,
      0.11330580120789926,
      0.11182810746185527,
      0.11036996527609962,
      0.1089311132946856,
      0.10751129386720061,
      0.10611025275191585,
      0.10472773932679949,
      0.10336350632879722,
      0.10201730985274893,
      0.10068890932346179,
      0.0993780675998439,
      0.09808455060105857,
      0.09680812753480034,
      0.09554857074856056,
      0.09430565566833894,
      0.09307916083695861,
      0.09186886770217871,
      0.09067456073965126,
      0.08949602735728461,
      0.08833305780361117,
      0.08718544525779338,
      0.08605298560548602,
      0.08493547758702645,
      0.08383270678945888,
      0.08274444984162259,
      0.08167049463675254,
      0.08061063845573313,
      0.07956468586126692,
      0.07853244711886105,
      0.07751373713560306,
      0.07650837473102332,
      0.07551618205599236,
      0.07453698439295406,
      0.07357060976425112,
      0.07261688881111501,
      0.07167565464753684,
      0.0707467427324262,
      0.0698299908524996,
      0.06892523898315249,
      0.06803232926547773,
      0.0671511061249431,
      0.06628141592764285,
      0.0654231070541889,
      0.0645760300666747,
      0.06374003749276054,
      0.06291498376317353,
      0.062100725239162005,
      0.06129712014505022,
      0.060504028647861544,
      0.05972131273110888,
      0.05894883626291904,
      0.05818646493775338,
      0.05743406617391204,
      0.05669150914168827,
      0.05595866473124387,
      0.05523540556188632,
      0.05452160591841327,
      0.053817141750827746,
      0.053121890696514205,
      0.05243573192712891,
      0.051758546313382184,
      0.05109021620149395,
      0.05043062546571013,
      0.04977965959848138,
      0.049137205644448935,
      0.04850315210240154,
      0.047877388800618474,
      0.04725980716559895,
      0.046650299971646755,
      0.04604876160187292,
      0.04545508761192073,
      0.04486915199280784,
      0.04429081007962701,
      0.04371993117540559,
      0.04315639661951786,
      0.04260009643795244,
      0.04205092704829963,
      0.04150878957467727,
      0.04097358879152602,
      0.04044523238398031,
      0.03992363028913164,
      0.03940869431338063,
      0.0389003380080619,
      0.03839847643433459,
      0.03790302596566808,
      0.03741390419391821,
      0.03693102986234873,
      0.036454322971700266,
      0.03598370452847224,
      0.035519096643931984,
      0.03506042236050027,
      0.03460760571702187,
      0.03416057187546792,
      0.03371924674578156,
      0.03328355735521685,
      0.032853431753923544,
      0.03242879883273914,
      0.03200958838237123,
      0.03159573106415561,
      0.031187158403003134,
      0.030783804507162966,
      0.030385606555661658,
      0.02999250170257576,
      0.029604426952682315,
      0.029221319338246725,
      0.02884311628347421,
      0.0284697556459185,
      0.02810117587749287,
      0.027737316063575303,
      0.027378115967724114,
      0.027023516066437832,
      0.026673456232314333,
      0.026327859534384435,
      0.025986643200252006,
      0.025649733780351288,
      0.025317064384933984,
      0.024988572927699643,
      0.024664200807874057,
      0.02434389215300101,
      0.024027593065837072,
      0.023715251222699726,
      0.023406815655999138,
      0.02310223650992274,
      0.02280146490268807,
      0.022504452728717733,
      0.022211152661143554,
      0.021921517940863312,
      0.021635502606998633,
      0.02135306134860907,
      0.021074149411585343,
      0.020798722518618785,
      0.020526737072834603,
      0.02025814997717638,
      0.019992918771052307,
      0.01973100158480095,
      0.019472356962789712,
      0.01921694393026079,
      0.018964722131433975,
      0.018715651684162928,
      0.01846969318907582,
      0.018226807765936343,
      0.017986957015805313,
      0.0177501030167298,
      0.017516208251477875,
      0.017285235727648483,
      0.01705714896628938,
      0.016831911890703617,
      0.016609488862876318,
      0.016389844747660715,
      0.016172944787497097,
      0.015958754765237622,
      0.015747240768170124,
      0.015538369322063667,
      0.015332107419137018,
      0.015128422452162336,
      0.014927282226614444,
      0.014728654936046297,
      0.014532509190082192,
      0.0143388139104165,
      0.014147538533322568,
      0.013958652896156262,
      0.013772127061732614,
      0.013587931576431185,
      0.013406037322584911,
      0.013226415525293668,
      0.013049037798503749,
      0.012873876129114807,
      0.012700902824410545,
      0.012530090479706676,
      0.012361412080663513,
      0.012194841005610205,
      0.012030350857296564,
      0.011867915658513915,
      0.011707509750119539,
      0.01154910780477476,
      0.011392684740357458,
      0.011238215799796208,
      0.011085676657346832,
      0.01093504313228921,
      0.010786291450382457,
      0.010639398086915879,
      0.010494339788952164,
      0.010351093623908528,
      0.010209636972397535,
      0.010069947541169124,
      0.009932003256659239,
      0.00979578231178722,
      0.009661263144206692,
      0.00952842445961882,
      0.009397245224638237,
      0.009267704787929707,
      0.00913978265252174,
      0.00901345868209509,
      0.008888712830785414,
      0.0087655253381249,
      0.008643876791465561,
      0.008523747896994723,
      0.008405119766771867,
      0.008287973622017062,
      0.008172288303005915,
      0.00805803757040913,
      0.007945196917715412,
      0.007833744294530185,
      0.007723659244215405,
      0.007614922543734205,
      0.007507516020112445,
      0.007401422288352744,
      0.007296624454193841,
      0.007193106143346313,
      0.007090851290790486,
      0.006989844300445122,
      0.006890069710461813,
      0.0067915123042726205,
      0.006694157025405182,
      0.006597989147357427
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56772473980171,
      10.339998623506178,
      10.105548731901827,
      9.867038367543064,
      9.626690216981421,
      9.386462294119916,
      9.148028030728202,
      8.912789449139598,
      8.68189287417346,
      8.456212767697444,
      8.236353554287186,
      8.022667584777112,
      7.8152784896330605,
      7.614112841416693,
      7.418937228442873,
      7.229393560373891,
      7.045035218856393,
      6.865360579735584,
      6.689841884147438,
      6.517950703040528,
      6.349179033450171,
      6.183056181055292,
      6.0191590295832285,
      5.857126915036461,
      5.696673170960776,
      5.537582746738086,
      5.3797105332282875,
      5.222983257750838,
      5.067400912736474,
      4.913040545423355,
      4.760040020445912,
      4.608581066373613,
      4.458905129816028,
      4.311308055825247,
      4.1661283758837095,
      4.0237373040287805,
      3.8845414299593437,
      3.748956797990881,
      3.6173779732424896,
      3.490167201787602,
      3.3676455999954493,
      3.250086508302381,
      3.137711765296927,
      3.0306889209437013,
      2.929130651610624,
      2.833091757786227,
      2.742569086311598,
      2.6575068754163063,
      2.5777975517519973,
      2.5032772374074934,
      2.433724239958239,
      2.368885111634058,
      2.3084822826096865,
      2.2522144737342864,
      2.199752661026409,
      2.15072712994878,
      2.104741723561658,
      2.061432855759251,
      2.0204619462908053,
      1.9815010171367777,
      1.9442690067530477,
      1.9085468428493315,
      1.874163475383732,
      1.8409811988863383,
      1.8088859553114596,
      1.7777781166632292,
      1.7475761740481335,
      1.7182141406100857,
      1.6896375058454292,
      1.661799308563096,
      1.6346563257949733,
      1.6081711795900848,
      1.5823116146354912,
      1.5570492482022924,
      1.5323586797812263,
      1.50821685313803,
      1.484602595636071,
      1.4614962835759215,
      1.4388795943166428,
      1.4167353229171313,
      1.395047242242457,
      1.3738000691662233,
      1.3529800017759146,
      1.3325741463914762,
      1.312569927965166,
      1.2929552423444994,
      1.2737189006028133,
      1.2548501801231213,
      1.236338562241146,
      1.2181737972521502,
      1.200345943393522,
      1.182845386652502,
      1.165662849345055,
      1.148789390868718,
      1.1322164691202068,
      1.1159365764316729,
      1.0999430210340302,
      1.0842293169161157,
      1.0687888731603954,
      1.0536150753909501,
      1.0387013704831323,
      1.0240413202121355,
      1.0096286352421928,
      0.995457195132445,
      0.9815210602673915,
      0.967814476109535,
      0.9543318739189147,
      0.9410680426147376,
      0.9280189000527218,
      0.9151806215701661,
      0.9025491276406437,
      0.8901202127977635,
      0.8778896313715931,
      0.8658530477127665,
      0.8540060869929501,
      0.8423445159665854,
      0.8308642482705315,
      0.8195613355106394,
      0.808432147824164,
      0.7974743386603741,
      0.7866858252889926,
      0.7760640968471169,
      0.7656063866223249,
      0.7553097861891162,
      0.7451713208577361,
      0.735187999990305,
      0.7253568500814205,
      0.7156749356594649,
      0.7061393729334694,
      0.6967473380112406,
      0.6874959617886691,
      0.6783818674034156,
      0.6694017028909575,
      0.66055243524748,
      0.6518312685124723,
      0.6432355881161619,
      0.634762921805772,
      0.6264109123836685,
      0.6181772981080611,
      0.610059899041581,
      0.6020566069626391,
      0.5941653778374824,
      0.5863842264924419,
      0.5787112220621962,
      0.5711444848795445,
      0.5636821832597666,
      0.5563225313804776,
      0.5490637872726998,
      0.5419042509290514,
      0.534842262562908,
      0.5278762015319067,
      0.5210044847150688,
      0.5142255650850216,
      0.5075379306094675,
      0.5009401034117108,
      0.49443063853579516,
      0.4880081227023429,
      0.48167117346751454,
      0.47541843820461477,
      0.4692485933967425,
      0.4631603435837898,
      0.4571524207058759,
      0.45122358300735904,
      0.4453726145738451,
      0.4395983243866387,
      0.4338995456610298,
      0.4282751352682834,
      0.4227239727615137,
      0.4172449601773869,
      0.4118370211170151,
      0.4064991000746583,
      0.40123016216859986,
      0.39602919238768713,
      0.3908951949656241,
      0.3858271931132433,
      0.38082422832362944,
      0.3758853600142799,
      0.37100966499965643,
      0.366196191095804,
      0.36144377555129564,
      0.35675126044526584,
      0.3521176004585639,
      0.34754183232167124,
      0.34302305350914963,
      0.33856040767036516,
      0.3341530743684444,
      0.3298002616924826,
      0.32550120159300117,
      0.32125514586358955,
      0.3170613638136077,
      0.3129191404286243,
      0.30882777497597363,
      0.30478657984870705,
      0.3007948800524472,
      0.2968520124570101,
      0.29295732525713053,
      0.28911022341835,
      0.285310272455656,
      0.28155701875567346,
      0.277849961107259,
      0.2741885686274529,
      0.2705724234825319,
      0.2670013545536654,
      0.26347517508379525,
      0.25999367000506446,
      0.2565568462561363,
      0.2531647320810967,
      0.24981714902723495,
      0.24651377947911945,
      0.24325421361295355,
      0.24003804732946762,
      0.23686496229320325,
      0.23373457574173054,
      0.2306464376154776,
      0.2276000549644245,
      0.2245949088708429,
      0.22163046533859992,
      0.218706136058401,
      0.21582128306502135,
      0.2129752964993391,
      0.21016759476493613,
      0.20739761814559626,
      0.20466482429704433,
      0.20196868496017056,
      0.19930868385864636,
      0.19668431532821024,
      0.1940950832533365,
      0.19154050011668824,
      0.1890200865148049,
      0.18653337080762733,
      0.18407988878677697,
      0.18165918339968173,
      0.17927080455454758,
      0.17691430887858187,
      0.1745892596708579,
      0.17229522657881663,
      0.17003178565981159,
      0.16779851916592697,
      0.1655950154721851,
      0.16342086893133895,
      0.16127567970627232,
      0.15915905384654627,
      0.15707060306300785,
      0.15500994461907655,
      0.15297670139011915,
      0.15097050155687342,
      0.14899097861866806,
      0.1470377713835345,
      0.14511052369356203,
      0.14320888448275232,
      0.14133250770948164,
      0.13948105227854257,
      0.13765418186302628,
      0.1358515647911697,
      0.13407287413811775,
      0.1323177875899946,
      0.13058598733498866,
      0.12887716010790706,
      0.12719099694349442,
      0.12552719327419146,
      0.12388544855739411,
      0.12226546669202154,
      0.12066695549446708,
      0.11908962703991453,
      0.11753319725343771,
      0.11599738603533477,
      0.11448191733569457,
      0.11298651880947463,
      0.111510921712769,
      0.11005486106510522,
      0.10861807573526998,
      0.1072003080055407,
      0.10580130368151153,
      0.10442081218835444,
      0.10305858632293864,
      0.10171438220811274,
      0.100387959372892,
      0.09907908066587849,
      0.09778751212922773,
      0.09651302304901672,
      0.09525538572415378,
      0.09401437563986505,
      0.09278977141050761,
      0.09158135465718101,
      0.09038890983202225,
      0.08921222437043694,
      0.08805108861198299,
      0.08690529576991592,
      0.08577464182773632,
      0.08465892551279904,
      0.08355794837795151,
      0.0824714988765095,
      0.08139935673938176,
      0.08034131288745738,
      0.07929716759431608,
      0.07826672807001371,
      0.07724980720955474,
      0.07624622236928365,
      0.07525579493263077,
      0.07427834959207005,
      0.07331371392960309,
      0.07236171837985521,
      0.0714221958696453,
      0.07049498184240144,
      0.06957991415478566,
      0.0686768327438286,
      0.06778557982315912,
      0.06690599981414393,
      0.0660379391962248,
      0.06518124647918679,
      0.06433577215762241,
      0.06350136882536364,
      0.06267789097014201,
      0.06186519502648847,
      0.06106313936264825,
      0.0602715842685904,
      0.05949039179185965,
      0.05871942586335771,
      0.05795855212133974,
      0.05720763812682696,
      0.0564665531504904,
      0.05573516819819945,
      0.05501335593153269,
      0.054300990699671516,
      0.053597948574477784,
      0.05290410721061104,
      0.052219345982095836,
      0.05154354577249182,
      0.05087658899936815,
      0.050218359753059036,
      0.04956874352808627,
      0.048927627421374575,
      0.04829489996406886,
      0.047670451162579744,
      0.04705417246234949,
      0.04644595670477943,
      0.045845698241603006,
      0.045253292842317716,
      0.0446686341704232,
      0.04409158799656139,
      0.04352201399153835,
      0.04295978699519784,
      0.04240479255489177,
      0.04185692397370885,
      0.04131608035878295,
      0.040782165022853555,
      0.04025508469768473,
      0.03973474867740922,
      0.03922106850988172,
      0.038713957473574,
      0.0382133303860793,
      0.03771910359950754,
      0.03723119466151188,
      0.03674952234357403,
      0.0362740066391691,
      0.03580456858826866,
      0.03534113034134451,
      0.034883615055935964,
      0.0344319469211312,
      0.03398605105564912,
      0.033545853577946816,
      0.03311128157557257,
      0.03268226310321199,
      0.03225872704172825,
      0.031840603243350786,
      0.0314278225215279,
      0.031020316539609207,
      0.03061801936257076,
      0.03022086826554095,
      0.029828800434786015,
      0.02944175297408846,
      0.02905966309130637,
      0.02868246825345251,
      0.028310106467062557,
      0.027942516229567633,
      0.027579636702500604,
      0.02722140766720106,
      0.02686776969332879,
      0.026518663973073647,
      0.026174032494988952,
      0.025833811280708968,
      0.025497918966685292,
      0.025166278918271022,
      0.024838822227034738,
      0.024515485533044955,
      0.024196209784741386,
      0.023880938792766156,
      0.023569618685834882,
      0.02326219754714689,
      0.022958624797703824,
      0.02265885096637884,
      0.022362827744508634,
      0.022070507554720176,
      0.0217818436510466,
      0.021496789954822036,
      0.02121530119227428,
      0.020937332653639704,
      0.020662840151551464,
      0.020391780076897854,
      0.020124109418783634,
      0.01985978574867517,
      0.019598767264184802,
      0.01934101256784566,
      0.019086480816777798,
      0.01883513161970952,
      0.018586925196816463,
      0.018341822281012932,
      0.018099784053159828,
      0.017860772136187565,
      0.017624748743597266,
      0.0173916764932375,
      0.01716151841979602,
      0.01693423812886225,
      0.01670979963509207,
      0.01648816729751079,
      0.016269306016862512,
      0.016053181212656628,
      0.015839758655526982,
      0.015629004479568505,
      0.01542088538017785,
      0.015215368400722004,
      0.0150124210388058,
      0.014812011125156056,
      0.014614106932637795,
      0.01441867703928046,
      0.014225690567610827,
      0.014035116891734069,
      0.013846925911670992,
      0.01366108785255586,
      0.013477573268760625,
      0.013296353119174596,
      0.013117398704239407,
      0.01294068165515646,
      0.012766174013388115,
      0.012593848184659015,
      0.012423676881445595,
      0.012255633162464348,
      0.012089690358598722,
      0.011925822210103175,
      0.011764002865285098,
      0.011604206601039132,
      0.011446408065393935,
      0.011290582368862684,
      0.011136704891344103,
      0.010984751249259177,
      0.0108346973842941,
      0.010686519583492005,
      0.010540194379847358,
      0.010395698651081225,
      0.010253009465308884,
      0.010112104220066935,
      0.009972960566226178,
      0.009835556466717335,
      0.00969987025635921,
      0.009565880359553991,
      0.009433565632013375,
      0.009302905042244248,
      0.00917387797073226,
      0.00904646406543911,
      0.008920643123734182,
      0.008796395159408889,
      0.008673700521520385,
      0.008552539829896415,
      0.008432893924573555,
      0.008314743879706082,
      0.008198070986428817,
      0.008082856711301647,
      0.007969082820701466,
      0.007856731328499717,
      0.007745784450835381,
      0.007636224631617153,
      0.00752803285894159,
      0.0074211846643635546,
      0.007315656859857421,
      0.007211428495035088,
      0.007108480304605576,
      0.007006794282718524,
      0.006906353351599097,
      0.006807141192887346,
      0.006709141909994786,
      0.006612340054847027,
      0.006516720656373706
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567716124544493,
      10.339970704271568,
      10.105494091869229,
      9.866952458141592,
      9.626570304450585,
      9.386307033996493,
      9.147837415091729,
      8.912564075762976,
      8.681633596506138,
      8.455920380690662,
      8.236028906365462,
      8.022311479890245,
      7.814891605102609,
      7.613695679129165,
      7.418490064562446,
      7.228916424298679,
      7.044527993651776,
      6.864823103889267,
      6.689273961710628,
      6.517352132402418,
      6.348549672324981,
      6.18239604362688,
      6.018468371664616,
      5.8564063610619,
      5.6959236907975175,
      5.5368056510498675,
      5.3789075029343625,
      5.222156422180498,
      5.066552831700211,
      4.91217418308415,
      4.759158873622457,
      4.6076890570678595,
      4.458006489489792,
      4.3104072626103145,
      4.165230075846855,
      4.022846421258263,
      3.883663373008617,
      3.748096831862092,
      3.616540975386726,
      3.4893575835510084,
      3.366867242973263,
      3.2493427006109328,
      3.137005162614177,
      3.0300215710854324,
      2.9285039991835737,
      2.8325064314599326,
      2.7420249840385877,
      2.6570030404603173,
      2.577332047603118,
      2.502847445124163,
      2.4333268562481813,
      2.368516698323395,
      2.3081393132558015,
      2.251893236765357,
      2.1994491277548547,
      2.15043676886202,
      2.1044603100240407,
      2.06115680445242,
      2.0201878374507007,
      1.981225932277547,
      1.9439907436654322,
      1.9082637920771683,
      1.8738744787219281,
      1.8406854267601844,
      1.8085827910998944,
      1.777467072587368,
      1.7472569602153745,
      1.7178866088302294,
      1.689301608908903,
      1.661455104067225,
      1.6343039254902156,
      1.6078107180970016,
      1.5819432414789907,
      1.556673122268392,
      1.5319749650815202,
      1.507825715729935,
      1.4842042014428218,
      1.4610907967980502,
      1.4384671769393598,
      1.4163161339361763,
      1.3946214370613221,
      1.373367809383422,
      1.352541460363793,
      1.3321294848655183,
      1.3121192984811765,
      1.2924988124763963,
      1.2732568632925099,
      1.254382705203631,
      1.2358658029807008,
      1.2176958946846101,
      1.1998630286381793,
      1.1823575836629263,
      1.1651702765094472,
      1.148292161816039,
      1.1317147081425722,
      1.1154304256133334,
      1.0994326200579962,
      1.0837147968372514,
      1.068270352935227,
      1.0530926658330568,
      1.0381751757283724,
      1.0235114388305404,
      1.0090951621143902,
      0.9949202221091493,
      0.9809806763744953,
      0.9672707678573601,
      0.9537849255122113,
      0.9405180232911919,
      0.9274661029043382,
      0.9146252687676885,
      0.9019913927562134,
      0.8895602358413945,
      0.8773275285689761,
      0.8652889915420324,
      0.8534402601469792,
      0.8417770603680372,
      0.8302952781957273,
      0.8189909460140888,
      0.807860553677478,
      0.7969019341168191,
      0.7861128880613637,
      0.775490826300256,
      0.7650329290644738,
      0.7547362516268085,
      0.7445977945361949,
      0.7346145504525272,
      0.7247835343251606,
      0.7151018029839366,
      0.7055664674083275,
      0.6961746995239946,
      0.6869236443409018,
      0.677809946825022,
      0.668830240176268,
      0.6599814812173905,
      0.6512608672136317,
      0.6426657788189231,
      0.6341937404715984,
      0.6258423923523051,
      0.617609470947668,
      0.6094927950305535,
      0.6014902552553634,
      0.5935998069253021,
      0.5858194640450723,
      0.578147295295177,
      0.5705814204811948,
      0.5631200074119505,
      0.5557612697978951,
      0.5485034651068322,
      0.5413448927668372,
      0.5342838927229078,
      0.5273188439223,
      0.5204481626076789,
      0.5136703014168339,
      0.506983748074158,
      0.5003870242909357,
      0.49387868462592166,
      0.4874573154384714,
      0.4811215340412594,
      0.47486998732035857,
      0.46870135125068024,
      0.46261433011675496,
      0.45660765541824366,
      0.4506800850228644,
      0.4448304026214174,
      0.4390574168278193,
      0.4333599604103491,
      0.42773688981004354,
      0.42218708433932794,
      0.41670944536828464,
      0.4113028959852352,
      0.4059663805231754,
      0.4006988638289111,
      0.3954993303270168,
      0.3903667840503328,
      0.385300247808633,
      0.38029876271806007,
      0.37536138783876477,
      0.37048719969426147,
      0.3656752309690835,
      0.36092429730973435,
      0.3562332524013193,
      0.3516010588744958,
      0.3470267586230102,
      0.3425094527737886,
      0.3380482872556735,
      0.33364244300178936,
      0.32929112921343967,
      0.3249935783154426,
      0.32074904247210584,
      0.3165567909404156,
      0.312416108762894,
      0.3083262949766972,
      0.30428666181112335,
      0.3002965340698671,
      0.2963552483420513,
      0.29246215240901047,
      0.2886166855682095,
      0.2848184167149881,
      0.281066879482988,
      0.27736156381763893,
      0.2737019323407218,
      0.27008759678187594,
      0.26651839077845885,
      0.26299412735656647,
      0.25951465294049914,
      0.25608006510084524,
      0.25269032522952717,
      0.24934520822782366,
      0.24604436440984134,
      0.24278737623792054,
      0.23957390683716978,
      0.23640362116702238,
      0.23327609819958597,
      0.23019086172323208,
      0.22714740121429894,
      0.22414518563846503,
      0.22118367286817447,
      0.2182622573884718,
      0.21538029638808837,
      0.21253718191252982,
      0.20973233362508273,
      0.2069651926824055,
      0.20423521726616162,
      0.20154187957708128,
      0.1988846636055274,
      0.19626306384983674,
      0.1936765841886946,
      0.19112473726014417,
      0.18860704379875703,
      0.1861230321700098,
      0.18367223812661085,
      0.18125420473506645,
      0.17886848190027888,
      0.17651462616083413,
      0.1741922008823567,
      0.17190077576822502,
      0.16963992683742476,
      0.16740923636775162,
      0.16520829276579188,
      0.16303669044027175,
      0.16089402966576546,
      0.1587799163662678,
      0.15669396221918705,
      0.15463578458442187,
      0.1526050063152122,
      0.1506012556287046,
      0.14862416603614942,
      0.14667337619893683,
      0.14474853005993416,
      0.14284927671667141,
      0.14097527012473596,
      0.13912616915945467,
      0.13730163744333365,
      0.13550134342319237,
      0.133724960270953,
      0.13197216569044165,
      0.1302426419035028,
      0.12853607563062136,
      0.12685215798394964,
      0.12519058424633714,
      0.12355105407073069,
      0.12193327130510218,
      0.12033694398341747,
      0.11876178405647107,
      0.11720750761226055,
      0.11567383460692642,
      0.11416048885027813,
      0.11266719805436512,
      0.11119369360888234,
      0.10973971059094846,
      0.10830498780642375,
      0.10688926763981103,
      0.10549229606253525,
      0.10411382241136864,
      0.10275359961076048,
      0.10141138380936542,
      0.10008693467012637,
      0.09878001500382796,
      0.09749039083378011,
      0.09621783155390788,
      0.09496210957058321,
      0.09372300043196134,
      0.09250028279000302,
      0.09129373829064556,
      0.09010315145520315,
      0.08892830978827107,
      0.08776900373048903,
      0.08662502653924957,
      0.08549617424263711,
      0.08438224568285055,
      0.0832830424519509,
      0.08219836867506508,
      0.08112801616000025,
      0.08007176777155658,
      0.07902941720918731,
      0.07800076729089013,
      0.07698562800389434,
      0.07598381482757335,
      0.0749951477416867,
      0.07401945042934249,
      0.07305654995541204,
      0.0721062763489801,
      0.07116846232725026,
      0.0702429431821256,
      0.0693295566190329,
      0.06842814262350776,
      0.06753854350831746,
      0.06666060366031494,
      0.06579416962279441,
      0.0649390898960526,
      0.06409521512415016,
      0.06326239788528533,
      0.06244049280746253,
      0.06162935650758327,
      0.060828847295889436,
      0.060038825481619235,
      0.0592591532916838,
      0.05848969473930199,
      0.05773031567121812,
      0.056980883566837254,
      0.05624126774499004,
      0.05551133932237913,
      0.054790971048836956,
      0.054080037460415425,
      0.05337841462560852,
      0.052685980352176774,
      0.05200261398389367,
      0.05132819651808408,
      0.0506626105162053,
      0.05000573995987688,
      0.04935747047817249,
      0.04871768930429318,
      0.0480862850668653,
      0.047463147837554634,
      0.046848169184268394,
      0.04624124208675613,
      0.04564226095652717,
      0.04505112156330714,
      0.04446772103053083,
      0.04389194870284448,
      0.04332366394088501,
      0.042762733058404355,
      0.042209035807382854,
      0.041662461573422196,
      0.041122906712255956,
      0.04059027274677642,
      0.04006446512138511,
      0.039545392321570026,
      0.0390329652883302,
      0.03852709696296979,
      0.038027701998606445,
      0.03753469655135687,
      0.0370479982269709,
      0.03656752577852273,
      0.03609319918063227,
      0.03562493950490686,
      0.03516266887917006,
      0.0347063105747149,
      0.03425578876399681,
      0.03381102870173111,
      0.0333719566046835,
      0.032938499599031106,
      0.03251058583964248,
      0.03208814429295414,
      0.031671104962035124,
      0.03125939869584272,
      0.0308529572306379,
      0.030451714598828693,
      0.030055608124983767,
      0.029664575247952678,
      0.0292785531050977,
      0.02889747895441936,
      0.02852129034891347,
      0.028149925286812313,
      0.027783322395209042,
      0.027421420893651856,
      0.02706416067102284,
      0.026711482419615525,
      0.02636332737092228,
      0.02601963763853226,
      0.025680355908550816,
      0.02534542568640715,
      0.02501477620647382,
      0.024688327399425333,
      0.02436600762553932,
      0.02404775195483133,
      0.023733500322982617,
      0.023423196023881036,
      0.023116785233478113,
      0.022814216099236877,
      0.02251543834643734,
      0.02222040296678527,
      0.021929062223704505,
      0.02164136903281641,
      0.02135727713378075,
      0.021076741056894843,
      0.02079971604681111,
      0.020526158016098382,
      0.020256023496478173,
      0.019989269506717255,
      0.019725853632319063,
      0.019465734011905798,
      0.01920886935770482,
      0.01895521892740808,
      0.018704742472478494,
      0.0184574003222434,
      0.018213153241235132,
      0.01797196236422238,
      0.017733789470267894,
      0.017498596724643045,
      0.017266346950473417,
      0.017037003355606525,
      0.016810529509417426,
      0.016586889435252106,
      0.01636604769201683,
      0.01614796924162763,
      0.015932619413262777,
      0.01571996413658632,
      0.015509969706233332,
      0.015302602878717597,
      0.015097830716508612,
      0.014895620751698499,
      0.014695940820246476,
      0.014498759330392071,
      0.01430404502420466,
      0.014111767020422192,
      0.0139218948141901,
      0.01373439825905813,
      0.01354924771614489,
      0.013366413816820194,
      0.013185867595759728,
      0.013007580389889884,
      0.01283152394873334,
      0.012657670323501154,
      0.012485991935569915,
      0.012316461557392614,
      0.012149052294709403,
      0.011983737659181206,
      0.011820491368971243,
      0.01165928748115104,
      0.01150010048702891,
      0.011342905243820605,
      0.011187676837855048,
      0.01103439060782844,
      0.010883022213249785,
      0.010733547685352741,
      0.010585943358499252,
      0.010440185847269445,
      0.010296252030980212,
      0.010154119096658927,
      0.01001376444312631,
      0.009875165814911243,
      0.009738301265809516,
      0.009603149104558516,
      0.009469687898845763,
      0.009337896442064727,
      0.009207753879986095,
      0.009079239622632065,
      0.008952333269708793,
      0.008827014753293432,
      0.008703264068241168,
      0.008581061683391417,
      0.008460388229676395,
      0.008341224551246635,
      0.008223551802072175,
      0.008107351359284112,
      0.007992604775481856,
      0.007879293852712053,
      0.007767400609115866,
      0.007656907322923467,
      0.007547796418431245,
      0.007440050600321813,
      0.0073336528433903085,
      0.007228586166471384,
      0.007124833928287933,
      0.007022379781476861,
      0.006921207614627875,
      0.006821296776441666,
      0.006722624232923892,
      0.006625169514816545,
      0.006528914013638164,
      0.00643384049520889
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567707513660851,
      10.339942792199995,
      10.105439458367593,
      9.866866546121683,
      9.62645036114906,
      9.386151699152238,
      9.147646668485056,
      8.91233850542128,
      8.681373979619735,
      8.455627455981407,
      8.235703532301269,
      8.021954469946103,
      7.814503645784154,
      7.6132772816229295,
      7.418041509433881,
      7.2284377448172155,
      7.044019079728787,
      6.864283798723378,
      6.688704073475441,
      6.516751462699158,
      6.34791808097844,
      6.181733546285475,
      6.017775226571286,
      5.855683196211964,
      5.69517147864325,
      5.536025705366148,
      5.378101508802382,
      5.221326512556055,
      5.065701570809639,
      4.9113045401971664,
      4.758274350688362,
      4.606793582390628,
      4.45710430120086,
      4.309502846939539,
      4.1643280875527084,
      4.021951876328928,
      3.8827817389769366,
      3.747233365657028,
      3.615700547852008,
      3.488544600120267,
      3.366085578583537,
      3.248595637934758,
      3.1362953524517323,
      3.0293510576485776,
      2.927874223448333,
      2.8319180182817996,
      2.7414778292210924,
      2.6564961880800393,
      2.5768635611407236,
      2.502414706371082,
      2.432926563943686,
      2.3681454178256636,
      2.3077935223167314,
      2.251569228319418,
      2.1991428773569384,
      2.1501437476763203,
      2.1041762954943954,
      2.060878212973267,
      2.0199112162055624,
      1.980948373324554,
      1.9437100531500884,
      1.9079783666816843,
      1.8735831642491967,
      1.8403873958074055,
      1.8082774062447988,
      1.77715385359949,
      1.7469356216321026,
      1.7175570050049611,
      1.6889636941180435,
      1.6611089366067608,
      1.6339496168350687,
      1.607448401939822,
      1.5815730663910896,
      1.5562952458669974,
      1.5315895498092158,
      1.5074329261960087,
      1.4838042022058944,
      1.4606837509428336,
      1.438053245443653,
      1.4158954745521162,
      1.3941942044355173,
      1.3729341641936765,
      1.3521015733377482,
      1.33168351629829,
      1.3116673999339223,
      1.2920411499349158,
      1.2727936280399925,
      1.2539140658079777,
      1.235391911590904,
      1.21721689141775,
      1.1993790444139154,
      1.1818687416868945,
      1.164676694489308,
      1.147793952976527,
      1.1312119956353797,
      1.1149233508201422,
      1.0989213221465857,
      1.0831994063866295,
      1.0677509890797108,
      1.0525694390020985,
      1.037648189319425,
      1.0229807912387223,
      1.0085609472905017,
      0.9943825308314722,
      0.9804395967096663,
      0.9667263857259535,
      0.9532373249509339,
      0.9399674163392269,
      0.9269127679133293,
      0.9140694177967834,
      0.9014331925448988,
      0.8889998211038174,
      0.8767650121187759,
      0.8647245042761562,
      0.852873988108971,
      0.8412091557971334,
      0.8297258620012945,
      0.8184201172864698,
      0.8072886061523609,
      0.7963292377083981,
      0.7855397041615401,
      0.7749173433682418,
      0.7644592858054846,
      0.7541625529901717,
      0.7440241225566369,
      0.734040971436201,
      0.7242101039511365,
      0.7145285695372809,
      0.7049934736874327,
      0.6956019848516629,
      0.6863512619689192,
      0.6772379721304862,
      0.6682587337171401,
      0.6594104936226461,
      0.6506904422010384,
      0.6420959552684674,
      0.6336245537649725,
      0.6252738755931102,
      0.6170416555566203,
      0.6089257108961562,
      0.6009239314585156,
      0.5930342716913074,
      0.585254745017327,
      0.5775834195462382,
      0.5700184143375638,
      0.5625578967796793,
      0.5552000799714252,
      0.5479432210536759,
      0.5407856191765266,
      0.5337256138712918,
      0.5267615836561625,
      0.5198919445262257,
      0.5131151487415397,
      0.5064296834616372,
      0.49983406996953905,
      0.49332686244956975,
      0.48690664680707835,
      0.4805720396879266,
      0.47432168772744204,
      0.46815426667911947,
      0.46206848019743646,
      0.45606305937317926,
      0.4501367619058464,
      0.4442883709435871,
      0.43851669478784433,
      0.4328205658140476,
      0.4271988400613928,
      0.42165039632405,
      0.4161741357141463,
      0.4107689810373104,
      0.40543387611143317,
      0.40016778528488284,
      0.39496969272416804,
      0.3898386020076714,
      0.38477353554385973,
      0.3797735342489078,
      0.37483765674792957,
      0.36996497914410775,
      0.3651545152453721,
      0.36040506465283273,
      0.3557154921094114,
      0.35108476772855635,
      0.34651193843292716,
      0.341996108652323,
      0.33753642671607575,
      0.3331320751508383,
      0.32878226389703047,
      0.32448622583697867,
      0.32024321341194756,
      0.31605249599999274,
      0.311913358454017,
      0.3078250997537989,
      0.30378703199742857,
      0.29979847961576767,
      0.29585877889835965,
      0.291967277397054,
      0.28812344855643685,
      0.2843268646956616,
      0.28057704666179445,
      0.27687347547174374,
      0.2732156075350654,
      0.2696030851015814,
      0.26603575312057043,
      0.2625134197709914,
      0.25903605092747056,
      0.2556037504267584,
      0.25221641941646217,
      0.24887379130141873,
      0.24557548796758735,
      0.24232113460814492,
      0.23911042594940926,
      0.23594298081276988,
      0.23281834710288618,
      0.22973602755989478,
      0.22669549726796884,
      0.22369621546714533,
      0.22073762947639375,
      0.21781911968115447,
      0.21494004318205184,
      0.21209979367760728,
      0.20929779196776263,
      0.20653347999785107,
      0.20380631646821595,
      0.20111577396870736,
      0.19846133672418675,
      0.19584249937603532,
      0.19325876586655608,
      0.19070964894459377,
      0.18819466933628773,
      0.1857133555202194,
      0.18326524338139671,
      0.1808498758062957,
      0.17846680275317564,
      0.17611558084291742,
      0.17379577338633606,
      0.17150695014832298,
      0.16924868724243433,
      0.1670205669144957,
      0.16482217760892742,
      0.16265311363150706,
      0.16051297522175972,
      0.15840136846316155,
      0.15631790500519602,
      0.15426220216328942,
      0.1522338828498044,
      0.15023257525980596,
      0.14825791289592566,
      0.14630953465274385,
      0.1443870843885605,
      0.1424902111285147,
      0.14061856892653335,
      0.1387718166718813,
      0.1369496180564906,
      0.13515164153716566,
      0.133377560229674,
      0.13162705182301093,
      0.12989979867308477,
      0.1281954875036633,
      0.12651380943874835,
      0.12485445988323211,
      0.12321713852495214,
      0.12160154932512741,
      0.12000740018464924,
      0.11843440319589851,
      0.11688227445588434,
      0.11535073397536054,
      0.11383950560039804,
      0.11234831697196053,
      0.11087689963129518,
      0.10942498875660306,
      0.10799232315342491,
      0.10657864523801593,
      0.1051837009754269,
      0.10380723991224751,
      0.1024490149031855,
      0.10110878216069616,
      0.09978630131577233,
      0.0984813352869143,
      0.0971936502621085,
      0.09592301564739342,
      0.0946692039759246,
      0.0934319908338965,
      0.09221115484156354,
      0.09100647765762077,
      0.08981774394969459,
      0.08864474130519144,
      0.08748726014638789,
      0.08634509376952637,
      0.08521803834367112,
      0.08410589267763781,
      0.08300845841303943,
      0.08192553980773494,
      0.08085694377331638,
      0.07980246573085693,
      0.07876189166278263,
      0.07773501792737278,
      0.07672164997824504,
      0.07572160012860968,
      0.0747346863787056,
      0.07376073118150725,
      0.072799560690187,
      0.07185100430808719,
      0.07091489438811388,
      0.06999106596181202,
      0.06907935670739694,
      0.06817960649196408,
      0.0672916575291587,
      0.06641535427204626,
      0.06555054321546847,
      0.06469707295128344,
      0.06385479420234351,
      0.06302355973717434,
      0.0622032241717178,
      0.061393644019204816,
      0.060594677814290863,
      0.05980618592644233,
      0.05902803058056527,
      0.05826007585288161,
      0.05750218770848847,
      0.0567542338331119,
      0.05601608361444747,
      0.05528760824427103,
      0.05456868060143778,
      0.05385917509694525,
      0.05315896798267359,
      0.05246793718035318,
      0.051785962107250116,
      0.05111292382897187,
      0.050448705002156105,
      0.04979318977531661,
      0.049146263832178336,
      0.04850781445694104,
      0.04787773023957356,
      0.047255901381040986,
      0.046642219562357395,
      0.04603657788943128,
      0.04543887077642111,
      0.044848994085530926,
      0.044266845020914526,
      0.04369232219308891,
      0.04312530591105284,
      0.04256565616375156,
      0.04201324512572221,
      0.04146795698843431,
      0.04092968454812192,
      0.04039832691829169,
      0.039873787883551844,
      0.0393559748154959,
      0.038844797831258375,
      0.038340169456200716,
      0.037842004018683734,
      0.037350217494330866,
      0.03686472733082495,
      0.03638545231367324,
      0.035912312395615265,
      0.03544522868974776,
      0.03498412341910198,
      0.0345289198708564,
      0.034079542322588016,
      0.033635916026555975,
      0.03319796720089939,
      0.032765623190009044,
      0.0323388121456791,
      0.03191746319169748,
      0.03150150633783783,
      0.031090872495818087,
      0.030685493457288607,
      0.030285303290287453,
      0.029890239386221387,
      0.029500239253614863,
      0.029115240162976237,
      0.028735179591783625,
      0.02835999505611809,
      0.02798962460746017,
      0.0276240069656753,
      0.027263081482785445,
      0.026906788106181367,
      0.026555067544392564,
      0.02620786114320591,
      0.025865110999582955,
      0.02552675995777089,
      0.02519275158283999,
      0.024863030105134656,
      0.024537537277355644,
      0.024216198647635634,
      0.02389893849040678,
      0.023585689367252114,
      0.023276389540723787,
      0.022970981568814528,
      0.022669411195840445,
      0.022371626421295268,
      0.02207757708008115,
      0.02178721452508417,
      0.021500491239546154,
      0.02121736073379433,
      0.020937777340689974,
      0.020661696111519322,
      0.020389072938956,
      0.02011986433176589,
      0.01985402729520904,
      0.01959151950617041,
      0.019332299185468218,
      0.019076325124967014,
      0.018823556621519928,
      0.018573953380991205,
      0.018327475805684324,
      0.018084084794514222,
      0.017843741685317938,
      0.017606408185942564,
      0.01737204666299785,
      0.017140619892599802,
      0.016912091111689422,
      0.016686423962896272,
      0.016463582625532325,
      0.01624353173240212,
      0.016026236275695174,
      0.015811661743205453,
      0.015599774142096361,
      0.015390539795606133,
      0.015183925414463808,
      0.01497989819558626,
      0.014778425693209616,
      0.014579475907920829,
      0.014383017314038541,
      0.014189018729363968,
      0.013997449307550203,
      0.013808278544317676,
      0.013621476520359641,
      0.013437013535892573,
      0.013254860344076502,
      0.013074988004462655,
      0.012897367883947028,
      0.012721971773581614,
      0.012548771860515279,
      0.01237774060601459,
      0.012208850873074174,
      0.012042075934288092,
      0.011877389220667521,
      0.011714764592899721,
      0.011554176244908322,
      0.011395598723715305,
      0.011239006740337091,
      0.011084375426846264,
      0.010931680334289654,
      0.010780897139449602,
      0.010632001975714888,
      0.010484971111874398,
      0.010339781238554651,
      0.010196409261987366,
      0.010054832443306615,
      0.009915028251990515,
      0.009776974474818975,
      0.009640649230289585,
      0.009506030908291697,
      0.009373098155359392,
      0.009241829847944204,
      0.009112205105068686,
      0.008984203378170418,
      0.008857804363997336,
      0.00873298792486211,
      0.008609734315174207,
      0.008488023976516013,
      0.008367837550086766,
      0.008249155940672827,
      0.0081319603178112,
      0.008016232105843455,
      0.007901952948909162,
      0.007789104645349153,
      0.007677669279947137,
      0.007567629108921328,
      0.007458966693853495,
      0.007351664852440774,
      0.007245706521055198,
      0.00714107485948436,
      0.007037753216619908,
      0.006935725211386761,
      0.006834974624061179,
      0.006735485504221302,
      0.006637242031751024,
      0.006540228690381294,
      0.006444430079284598,
      0.006349830941895768
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56769890531998,
      10.33991488602512,
      10.105384837130115,
      9.866780646879223,
      9.626330418670916,
      9.385996343332543,
      9.147455869801004,
      8.912112845746487,
      8.681114231387703,
      8.455334351675612,
      8.23537792628138,
      8.021597173038835,
      7.8141153420978435,
      7.612858480703021,
      7.417592492654458,
      7.227958546153378,
      7.043509588137152,
      6.863743850913917,
      6.688133478123916,
      6.516150021922277,
      6.347285655763836,
      6.181070153249775,
      6.017081123393626,
      5.854959010005223,
      5.6944181828919245,
      5.535244614044623,
      5.377294307006638,
      5.220495333959068,
      5.064848980293642,
      4.91043350886861,
      4.757388380757274,
      4.605896601613085,
      4.456200547900384,
      4.308596807408292,
      4.16342441802985,
      4.021055601606447,
      3.881898334435809,
      3.7463680855384838,
      3.6148582609508084,
      3.4877297104680745,
      3.365301960688547,
      3.247846574029406,
      3.135583493847135,
      3.028678449256898,
      2.927242307346838,
      2.8313274219095543,
      2.7409284521550723,
      2.6559870794217146,
      2.5763927910142796,
      2.5019796627564532,
      2.432523953794353,
      2.3677718164493626,
      2.3074453760623865,
      2.2512428064770282,
      2.1988341768749713,
      2.1498482603306415,
      2.1038898182000345,
      2.0605971777353758,
      2.0196321835913458,
      1.9806684462210224,
      1.9434270451222346,
      1.907690679037803,
      1.8732896468248985,
      1.8400872233568693,
      1.8079699117707286,
      1.7768385656808992,
      1.7466122608723842,
      1.7172254292908213,
      1.6886238597568017,
      1.6607609019803224,
      1.6335934937622174,
      1.6070843247817832,
      1.5812011832020836,
      1.555915713238065,
      1.5312025292728528,
      1.5070385810730909,
      1.483402695859558,
      1.460275245113673,
      1.4376378995270953,
      1.4154734454065285,
      1.3937656453434502,
      1.3724992345171867,
      1.351660443360484,
      1.3312363447688866,
      1.3112143371463965,
      1.2915823608949524,
      1.2723293024807296,
      1.253444371302998,
      1.2349169995521916,
      1.2167369007770676,
      1.198894104615362,
      1.1813789753961208,
      1.164182218441286,
      1.147294879198813,
      1.1307084468282307,
      1.1144154676470435,
      1.098409243201236,
      1.0826832612623094,
      1.06723089602581,
      1.052045507208335,
      1.0371205219640542,
      1.0224494863521443,
      1.008026098672177,
      0.9938442292745121,
      0.979897930261749,
      0.9661814397998553,
      0.9526891829456312,
      0.9394163272883637,
      0.9263589973497044,
      0.9135131693821453,
      0.9008746266796787,
      0.8884390683122462,
      0.8762021819965002,
      0.8641596917981642,
      0.8523073534710052,
      0.840640869145078,
      0.829156056392565,
      0.8178489004218334,
      0.8067163242471985,
      0.7957562479943335,
      0.7849662599965674,
      0.774343627507124,
      0.7638854332092369,
      0.7535886658491102,
      0.7434502810490871,
      0.7334672405037999,
      0.7236365380415696,
      0.7139552159107756,
      0.7044203747038742,
      0.6950291794218421,
      0.6857788030094378,
      0.6766659342763465,
      0.6676871770372458,
      0.6588394683566113,
      0.6501199917252674,
      0.6415261181694832,
      0.6330553654073467,
      0.624705368958145,
      0.6164738619142752,
      0.6083586602356652,
      0.6003576525771857,
      0.5924687926551719,
      0.5846900931037965,
      0.5770196214831335,
      0.5694554964326964,
      0.5619958848137099,
      0.5546389992865416,
      0.5473830966861136,
      0.5402264757787351,
      0.5331674755762149,
      0.5262044739342344,
      0.5193358865184237,
      0.5125601652554026,
      0.5058757968843507,
      0.49928130225090267,
      0.49277523512963134,
      0.4863561810629388,
      0.48002275637443353,
      0.47377360738671104,
      0.4676074094427953,
      0.4615228658103605,
      0.45551870708390085,
      0.44959369045333675,
      0.44374659876667294,
      0.4379762398478773,
      0.43228144584486555,
      0.42666107225423366,
      0.42111399761809054,
      0.4156391227001854,
      0.4102353698823769,
      0.40490168247823316,
      0.3996370245003884,
      0.3944403797910048,
      0.38931075148366795,
      0.38424716172224854,
      0.3792486508509246,
      0.3743142771701543,
      0.36944311639596195,
      0.36463415379449443,
      0.35988618574765613,
      0.3551980870430469,
      0.35056883457882587,
      0.3459974800204362,
      0.3414831309833458,
      0.3370249376890617,
      0.33262208386513004,
      0.3282737803198996,
      0.32397926043344094,
      0.3197377767485045,
      0.3155485987410646,
      0.31141101111493336,
      0.3073243126291173,
      0.3032878152392224,
      0.29930084319502065,
      0.2953627324105914,
      0.2914728389699687,
      0.28763066622721806,
      0.28383578112198665,
      0.2800876928804405,
      0.27638587442667994,
      0.2727297767340247,
      0.269119073126341,
      0.26555362002050664,
      0.26203325520795356,
      0.2585580505324686,
      0.2551280771450474,
      0.2517431816159869,
      0.24840306012153265,
      0.24510732805314564,
      0.24185567295663082,
      0.238647766242364,
      0.23548318814475652,
      0.2323614601885144,
      0.22928206711220542,
      0.2262444719665536,
      0.2232481257926265,
      0.2202924641879246,
      0.2173768550760633,
      0.2145006581408983,
      0.21166326860671042,
      0.20886410860076554,
      0.20610262083172332,
      0.203378264455288,
      0.20069051229791304,
      0.19803884890775106,
      0.19542276910674622,
      0.1928417770274806,
      0.1902953853000938,
      0.18778311484510948,
      0.18530449416453026,
      0.1828590590968297,
      0.18044635262718575,
      0.17806592468973972,
      0.1757173319485704,
      0.17340013773500504,
      0.17111391182372163,
      0.16885823023737448,
      0.166632675258202,
      0.16443683523911706,
      0.16227030457720487,
      0.1601326835564942,
      0.15802357829583907,
      0.15594260056594783,
      0.15388936766641056,
      0.15186350247044966,
      0.1498646331544146,
      0.14789239337470378,
      0.14594642188125656,
      0.14402636265456725,
      0.14213186471415645,
      0.1402625821389956,
      0.1384181738610372,
      0.13659830359390832,
      0.13480263974396478,
      0.1330308554879628,
      0.13128262859820752,
      0.12955764143445048,
      0.1278555807650179,
      0.12617613772269393,
      0.12451900778057194,
      0.12288389072208891,
      0.1212704904658912,
      0.11967851502459352,
      0.11810767648914587,
      0.11655769097551305,
      0.11502827849511058,
      0.11351916295898401,
      0.11203007215615154,
      0.11056073757960863,
      0.1091108944041694,
      0.10768028158466826,
      0.10626864154712758,
      0.10487572024749993,
      0.1035012672165556,
      0.10214503552819809,
      0.1008067814296868,
      0.09948626466959314,
      0.09818324818896046,
      0.09689749821110989,
      0.09562878408861311,
      0.09437687836439754,
      0.09314155668475765,
      0.09192259785069315,
      0.09071978359343393,
      0.08953289859623327,
      0.08836173053865558,
      0.08720606995447674,
      0.08606571016292672,
      0.08494044733114303,
      0.08383008038410464,
      0.08273441094035033,
      0.08165324332091899,
      0.08058638447246295,
      0.07953364412261531,
      0.07849482156789515,
      0.07746970589841581,
      0.07645809594136947,
      0.075459799612695,
      0.07447463169012572,
      0.07350241264284213,
      0.07254296722513211,
      0.07159612390685272,
      0.07066171444783355,
      0.06973957341466341,
      0.06882953818839953,
      0.06793144861982069,
      0.06704514682447424,
      0.06617047712910222,
      0.06530728611847947,
      0.06445542246490782,
      0.06361473688928133,
      0.06278508220940983,
      0.06196631313541027,
      0.061158286288248945,
      0.06036086024769316,
      0.05957389555994132,
      0.05879725441530031,
      0.058030801047906304,
      0.05727440143030958,
      0.056527923296001044,
      0.055791236124049404,
      0.055064211174714946,
      0.05434672143639342,
      0.053638641544172534,
      0.05293984772348455,
      0.05225021790210057,
      0.05156963162185672,
      0.050897969988097744,
      0.05023511574292401,
      0.04958095311867167,
      0.048935367840221254,
      0.04829824732708391,
      0.04766948036108269,
      0.04704895716000052,
      0.04643656937403907,
      0.04583221025303357,
      0.04523577434286644,
      0.044647157568229325,
      0.044066257285956575,
      0.0434929721400365,
      0.04292720059599302,
      0.042368815152911736,
      0.04181767819638317,
      0.04127366721351496,
      0.04073667045552477,
      0.04020658387531963,
      0.039683309106443444,
      0.03916675213526883,
      0.03865682216159427,
      0.038153431022251924,
      0.037656492729655794,
      0.03716592295503733,
      0.03668163897659447,
      0.03620355947423112,
      0.03573160433971758,
      0.035265694691471734,
      0.03480575279591723,
      0.034351702002478605,
      0.03390346666391448,
      0.03346097211757035,
      0.03302414475964519,
      0.032592911872202986,
      0.03216720164443581,
      0.031746943359758646,
      0.031332067043023486,
      0.030922503743896653,
      0.030518185286294946,
      0.030119045795406973,
      0.029725022776636963,
      0.02933605374431327,
      0.028952076073532288,
      0.028573027111326227,
      0.02819884468864576,
      0.02782946695032493,
      0.02746483264121155,
      0.027104881216224765,
      0.02674955276899561,
      0.026398787972320866,
      0.02605252830413656,
      0.025710715971032284,
      0.025373293873006297,
      0.025040205647152685,
      0.024711395593258554,
      0.024386808799342165,
      0.024066391009367052,
      0.0237500813845819,
      0.023437803884099495,
      0.023129487375900894,
      0.022825067918740578,
      0.022524486597130754,
      0.022227688362071632,
      0.02193462092510388,
      0.021645234197323775,
      0.02135947962899485,
      0.021077310102175444,
      0.020798679427818198,
      0.020523542419576473,
      0.020251854773958564,
      0.019983572826735248,
      0.019718653566358057,
      0.019457054732651205,
      0.019198734625657958,
      0.018943652031360544,
      0.018691766238422194,
      0.01844303706279377,
      0.01819742500216425,
      0.01795489094736142,
      0.017715396290215995,
      0.01747890290532788,
      0.01724537324262926,
      0.017014770071978068,
      0.016787056769826218,
      0.016562197048322524,
      0.01634015512480903,
      0.016120895632334875,
      0.01590438373554675,
      0.01569058494948348,
      0.015479465284259098,
      0.01527099119452138,
      0.015065129517775522,
      0.014861847503557457,
      0.014661112786582331,
      0.01446289355250038,
      0.0142671581968615,
      0.014073875576530337,
      0.013883014995572545,
      0.013694546084844125,
      0.013508438892919035,
      0.013324663844896348,
      0.013143191632686927,
      0.012963993443663935,
      0.01278704070122509,
      0.012612305309051703,
      0.012439759483487004,
      0.012269375803631202,
      0.012101127135681695,
      0.011934986672686165,
      0.011770928051940173,
      0.011608925188158571,
      0.01144895231732504,
      0.011290984041801988,
      0.011134995237328221,
      0.010980960992287668,
      0.010828856879166269,
      0.010678658655042727,
      0.010530342484511753,
      0.010383884827139901,
      0.010239262338676508,
      0.010096452053049489,
      0.00995543119679637,
      0.009816177385945915,
      0.009678668436360005,
      0.009542882467624263,
      0.009408798001602742,
      0.009276393655413226,
      0.009145648413994706,
      0.009016541445643986,
      0.00888905221751727,
      0.00876316047866623,
      0.008638846206026137,
      0.008516089576695226,
      0.008394871131920582,
      0.008275171605210381,
      0.008156971974077328,
      0.008040253347121117,
      0.007924997150743976,
      0.007811185113479073,
      0.007698799149743325,
      0.007587821352493554,
      0.00747823412646726,
      0.00737002006830612,
      0.007263161942716263,
      0.00715764279925944,
      0.007053445829619756,
      0.006950554447793445,
      0.0068489523204918025,
      0.006748623283917727,
      0.006649551394889719,
      0.0065517208936510815,
      0.006455116180162047,
      0.006359721867385005,
      0.006265522860796982
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567690301861333,
      10.339886993726193,
      10.105330245747377,
      9.866694794643319,
      9.626210532340453,
      9.385841045897479,
      9.147265127969787,
      8.9118872355971,
      8.68085452017803,
      8.455041227805888,
      8.235052245746388,
      8.021239747956955,
      7.813726858627396,
      7.612439450333827,
      7.41714317961817,
      7.227478989065265,
      7.0429996817250915,
      6.863203414100311,
      6.687562325245473,
      6.515547960804502,
      6.346652552032452,
      6.180406028760808,
      6.016386241883522,
      5.854234003932892,
      5.693664028666858,
      5.534462629325843,
      5.37648618129911,
      5.219663204329782,
      5.063995414369334,
      4.909561479469475,
      4.756501390562751,
      4.604998579137427,
      4.455295732900428,
      4.307689687884996,
      4.162519650265991,
      4.020158262367497,
      3.8810139377773316,
      3.745501871307412,
      3.614015084415524,
      3.4869139627434445,
      3.364517504568748,
      3.2470966807433883,
      3.134870805564981,
      3.0280050020328177,
      2.9266095356514423,
      2.8307359468243294,
      2.740378169054562,
      2.655477036760283,
      2.575921058986423,
      2.5015436314519794,
      2.4321203334154275,
      2.3673971869557198,
      2.3070961663138965,
      2.2509152764874134,
      2.1985243372902508,
      2.1495516164095783,
      2.103602177655786,
      2.060314982445553,
      2.019352003720141,
      1.980387391901071,
      1.9431429355683896,
      1.907401920703742,
      1.8729950898141088,
      1.8397860440014264,
      1.8076614458175833,
      1.7765223433626582,
      1.746288003160643,
      1.7168929952499188,
      1.6882832060636948,
      1.6604120860800817,
      1.6332366272754073,
      1.606719540840329,
      1.5808286298477139,
      1.555535546851508,
      1.5308149105807793,
      1.506643672715958,
      1.4830006605522044,
      1.4598662445481674,
      1.4372220926406514,
      1.4150509878919255,
      1.393336689481663,
      1.3720639389407705,
      1.351218977494894,
      1.3307888672463477,
      1.310760997874838,
      1.2911233425961919,
      1.2718647868246842,
      1.2529745199521891,
      1.23444195934332,
      1.216256807605906,
      1.198409086226484,
      1.1808891529746857,
      1.1636877075645793,
      1.1467957910097741,
      1.1302049035706838,
      1.1139076096531408,
      1.0978972087595233,
      1.0821671802996113,
      1.0667108862915613,
      1.0515216778838878,
      1.0365929754408216,
      1.0219183201140218,
      1.0074914063661653,
      0.9933061008684223,
      0.9793564529666482,
      0.9656366986899212,
      0.9521412610709085,
      0.9388654737314605,
      0.9258054774309685,
      0.9129571861890726,
      0.9003163404405888,
      0.8878786092734361,
      0.8756396596251605,
      0.8635952009892528,
      0.8517410142393302,
      0.840072859140923,
      0.8285865196456764,
      0.8172779518341936,
      0.8061443150096671,
      0.795183538407314,
      0.784393105353198,
      0.7737702117770394,
      0.7633118919540365,
      0.7530151018077548,
      0.7428767743134571,
      0.7328938559052778,
      0.7230633300460564,
      0.7133822319007569,
      0.7038476569860851,
      0.6944567666534751,
      0.6852067473219008,
      0.6760943099016391,
      0.6671160444041756,
      0.6582688777096286,
      0.6495499863199454,
      0.6409567366508099,
      0.6324866428183844,
      0.6241373382395339,
      0.615906554015851,
      0.6077921049280961,
      0.5997918787442593,
      0.5919038281179655,
      0.5841259652245487,
      0.5764563568193136,
      0.5688931211457127,
      0.5614344245359648,
      0.5540784792861014,
      0.5468235417190569,
      0.5396679100611343,
      0.5326099229267484,
      0.5256479580122062,
      0.5187804305210575,
      0.5120057918627643,
      0.5053225285283814,
      0.4987291609206208,
      0.4922242423982862,
      0.48580635808415434,
      0.4794741238719313,
      0.4732261855617386,
      0.4670612180020667,
      0.46097792419157946,
      0.45497503444710613,
      0.4490513055142111,
      0.4432055198786907,
      0.4374364850028663,
      0.4317430324645921,
      0.4261240175106663,
      0.420578318290542,
      0.4151048351296343,
      0.409702489920312,
      0.40437022583730564,
      0.39910700646504726,
      0.3939118151266809,
      0.38878365467193604,
      0.3837215468096014,
      0.3787245315982393,
      0.37379166701993866,
      0.3689220284610755,
      0.36411457267822933,
      0.3593680927648548,
      0.3546814734584917,
      0.35005369849998114,
      0.34548382420231327,
      0.3409709612076751,
      0.33651426177501487,
      0.33211291093953366,
      0.32776612033153496,
      0.3234731235787845,
      0.3192331735327877,
      0.3150455396940966,
      0.3109095067599318,
      0.306824373232748,
      0.30278945078783204,
      0.29880406348237454,
      0.2948675468940725,
      0.2909792748196474,
      0.2871387760820996,
      0.2833456029180959,
      0.27959925451822065,
      0.27589919677805963,
      0.27224488325923285,
      0.26863601644043483,
      0.26507245593728435,
      0.2615541075389595,
      0.25808113098348545,
      0.2546535276292898,
      0.25127109619184307,
      0.24793349997186578,
      0.2446403978356215,
      0.24139150173346366,
      0.23818643596582462,
      0.23502474892659872,
      0.23190594064361636,
      0.2288294814518944,
      0.22579482435160628,
      0.22280141352737692,
      0.21984867377798112,
      0.2169359614286246,
      0.21406263918416285,
      0.21122810431806593,
      0.208431780182838,
      0.205673110362262,
      0.20295155462826825,
      0.20026658631852812,
      0.19761769022231823,
      0.19500436137422167,
      0.1924261040397539,
      0.18988243111780792,
      0.1873728633608333,
      0.18489692935161833,
      0.18245416497722464,
      0.18004411323867126,
      0.17766632402668145,
      0.17532035413069355,
      0.17300576678124266,
      0.17072213175567105,
      0.1684690251946257,
      0.1662460293714075,
      0.1640527326614866,
      0.16188872950885064,
      0.15975362020477796,
      0.1576470107837873,
      0.15556851292893478,
      0.15351774408336277,
      0.15149432710645497,
      0.14949789027022595,
      0.1475280672513446,
      0.14558449682038294,
      0.1436668229722355,
      0.1417746947847644,
      0.13990776619093093,
      0.13806569617832815,
      0.13624814848847436,
      0.13445479161025298,
      0.1326852988002993,
      0.1309393478888617,
      0.12921662118865154,
      0.12751680550003092,
      0.12583959200934258,
      0.1241846762388887,
      0.1225517579789564,
      0.12094054108657583,
      0.11935073367930576,
      0.1177820479094676,
      0.11623419996824623,
      0.11470690998771409,
      0.11319990191165033,
      0.11171290344184173,
      0.11024564617522445,
      0.10879786539732689,
      0.10736930004712641,
      0.10595969265587153,
      0.10456878924689733,
      0.10319633941259793,
      0.10184209612975907,
      0.10050581578369161,
      0.0991872580894702,
      0.09788618602427605,
      0.09660236590453365,
      0.095335567213906,
      0.09408556252483467,
      0.09285212752597104,
      0.09163504104787198,
      0.09043408490246535,
      0.08924904389816678,
      0.08807970566203684,
      0.08692586072636713,
      0.08578730252348048,
      0.08466382727326935,
      0.08355523401729777,
      0.08246132454862341,
      0.08138190320493097,
      0.08031677702695274,
      0.07926575567854928,
      0.07822865135720787,
      0.07720526770249075,
      0.0761953969325254,
      0.07519884017173799,
      0.07421540763375115,
      0.07324491652356635,
      0.072287189481755,
      0.07134205359928222,
      0.07040933960808211,
      0.0694888815942977,
      0.06858051649813053,
      0.06768408386274298,
      0.06679942568850611,
      0.06592638625169217,
      0.06506481216369381,
      0.06421455201916235,
      0.06337545654145306,
      0.06254737852576064,
      0.061730172793372375,
      0.06092369607063114,
      0.060127807005452526,
      0.05934236615606954,
      0.05856723595501822,
      0.05780228071841688,
      0.05704736644259017,
      0.05630236095403182,
      0.05556713383371771,
      0.054841556281427756,
      0.054125501424999306,
      0.053418843918013305,
      0.05272146011908103,
      0.05203322807046093,
      0.05135402746760361,
      0.05068373942776502,
      0.05002224666192609,
      0.049369433579437655,
      0.04872518603645144,
      0.048089391477978694,
      0.04746193872660581,
      0.04684271810717597,
      0.04623162142768563,
      0.04562854195306094,
      0.04503337432107835,
      0.044446014539589726,
      0.04386635998599796,
      0.04329430946916931,
      0.04272976311227525,
      0.04217261567930418,
      0.041622734245055755,
      0.041079987188121274,
      0.0405442565093782,
      0.04001543387296993,
      0.03949341814228658,
      0.03897811327171584,
      0.03846942707987517,
      0.03796727054360827,
      0.03747155691658338,
      0.03698220162949867,
      0.036499121820382396,
      0.03602223590323867,
      0.035551463758636714,
      0.035086726560852384,
      0.03462794647349662,
      0.03417504683875805,
      0.03372795209425463,
      0.03328658771028263,
      0.03285088011823164,
      0.03242075668712193,
      0.03199614569445638,
      0.0315769764181109,
      0.031163178980755653,
      0.03075468453498483,
      0.030351425060876437,
      0.02995333460732359,
      0.02956035068874344,
      0.029172411009354613,
      0.02878945303241984,
      0.02841141419060812,
      0.0280382322804708,
      0.027669845721782653,
      0.027306193306857837,
      0.026947214467201844,
      0.02659284934156509,
      0.026243038802484814,
      0.025897724384224875,
      0.025556848384635084,
      0.025220353683719176,
      0.024888184010022463,
      0.024560283777673213,
      0.024236598027526375,
      0.023917072606685585,
      0.023601654026251678,
      0.023290289487443327,
      0.022982914846115924,
      0.02267945559227576,
      0.022379844255409044,
      0.02208401987764427,
      0.02179192607044268,
      0.021503509903401375,
      0.02121872090181347,
      0.02093751055661058,
      0.020659831796993787,
      0.020385638965285096,
      0.020114887319949475,
      0.019847532968527128,
      0.019583532746460797,
      0.01932284420705649,
      0.019065425594978674,
      0.018811235784579106,
      0.018560234093188424,
      0.01831238046520597,
      0.01806763532775882,
      0.017825959620156737,
      0.0175873147934381,
      0.017351662830880535,
      0.017118966245539005,
      0.01688918792671795,
      0.016662291261695907,
      0.01643824004949697,
      0.01621699866427606,
      0.01599853170552938,
      0.015782804463997303,
      0.015569782568921907,
      0.015359432114298095,
      0.015151719513102457,
      0.014946611683593744,
      0.014744075951453113,
      0.014544080106133025,
      0.014346592357243775,
      0.014151581228883168,
      0.013959015620779962,
      0.013768864826121281,
      0.01358109853207727,
      0.013395686847155591,
      0.013212600260327506,
      0.01303180964615229,
      0.012853286169505018,
      0.012677001458936837,
      0.01250292735507839,
      0.012331036175873477,
      0.012161300512306886,
      0.011993693337229572,
      0.011828187912066818,
      0.011664757936430284,
      0.011503377374842184,
      0.011344020462759239,
      0.011186661847271484,
      0.011031276487558885,
      0.010877839658491303,
      0.0107263269108231,
      0.010576714102475224,
      0.010428977475664866,
      0.010283093493588344,
      0.010139038843499617,
      0.009996790587025272,
      0.009856326025549408,
      0.009717622808420355,
      0.00958065887056677,
      0.009445412454223865,
      0.009311861972535765,
      0.009179986166609724,
      0.009049764041213578,
      0.008921174814087196,
      0.00879419812073854,
      0.008668813699057884,
      0.008545001500785654,
      0.008422741835391113,
      0.008302015280008351,
      0.008182802571458557,
      0.008065084727919187,
      0.007948842999735539,
      0.007834058878729186,
      0.007720714063465898,
      0.007608790508530936,
      0.0074982703916614876,
      0.007389136145779675,
      0.007281370377136241,
      0.00717495600075333,
      0.007069876007871019,
      0.006966113666440666,
      0.006863652417178392,
      0.006762475993111347,
      0.006662568279501854,
      0.0065639132885078975,
      0.006466495382928643,
      0.006370299062032387,
      0.00627530896430423,
      0.006181510017171415
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56768170084351,
      10.339859105746935,
      10.105275665589403,
      9.86660896045897,
      9.626090663463941,
      9.385685757790032,
      9.147074381858348,
      8.911661602626639,
      8.680594763997718,
      8.454748032897179,
      8.234726464215992,
      8.02088218926419,
      7.8133382067145405,
      7.61202021604417,
      7.416693612711826,
      7.226999130554245,
      7.042489428321458,
      6.862662586625973,
      6.686990739386761,
      6.5149454246411125,
      6.346018932896805,
      6.179741343296638,
      6.015690747263063,
      5.853508332990636,
      5.692909162106517,
      5.533679887192877,
      5.375677254801423,
      5.218830231995878,
      5.0631409659224635,
      4.908688530597941,
      4.755613446623827,
      4.604099570647477,
      4.454389901241017,
      4.306781522325498,
      4.161613809632912,
      4.019259844025614,
      3.8801284701770147,
      3.744634588070658,
      3.6131708342349684,
      3.486097131275662,
      3.363731948711484,
      3.246345666906741,
      3.134156971472558,
      3.027330380390534,
      2.9259755051375715,
      2.8301430863802044,
      2.7398263851620044,
      2.6549653892835274,
      2.575447629968097,
      2.5011058232995054,
      2.4317148704220086,
      2.367020664645952,
      2.30674502909663,
      2.250585800208506,
      2.1982125263217416,
      2.1492529718372646,
      2.103312527544774,
      2.0600307852316018,
      2.0190698428619904,
      1.9801043890401364,
      1.94285692035832,
      1.9071113063702132,
      1.8726987263945587,
      1.839483108567861,
      1.8073512759095067,
      1.7762044697567785,
      1.745962147716313,
      1.7165590162442852,
      1.6879410594566953,
      1.6600618160222576,
      1.6328783486254128,
      1.6063533889666388,
      1.5804547524621235,
      1.555154100299095,
      1.5304260559099778,
      1.5062475724954476,
      1.4825974768905708,
      1.4594561376518596,
      1.4368052205673283,
      1.4146275055112862,
      1.3929067485719273,
      1.371627697096557,
      1.3507766032891328,
      1.330340518397969,
      1.3103068231726613,
      1.2906635238001036,
      1.2713995042470212,
      1.2525039343729434,
      1.23396621684164,
      1.215776043297737,
      1.1979234268051386,
      1.1803987186124567,
      1.1631926130206676,
      1.146296146859413,
      1.12970083118419,
      1.113399248695643,
      1.0973846972656678,
      1.0816506474952694,
      1.0661904496455694,
      1.0509974459064755,
      1.0360650502792375,
      1.0213867986741751,
      1.0069563817417688,
      0.9927676628059823,
      0.9788146885367437,
      0.9650916929598371,
      0.9515930988991528,
      0.9383144047802945,
      0.9252517656112313,
      0.912401033734134,
      0.8997579067721077,
      0.8873180240829662,
      0.8750770318233388,
      0.8630306246594901,
      0.8511745734379844,
      0.8395047065460243,
      0.8280168188297414,
      0.8167069366693158,
      0.8055723979509953,
      0.7946110316147494,
      0.7838202314539342,
      0.773197132938524,
      0.7627387287748383,
      0.7524419469050679,
      0.7423037012261361,
      0.7323209248599316,
      0.7224905922806251,
      0.7128097322509817,
      0.7032754361661241,
      0.6938848623975126,
      0.6846352114552134,
      0.6755232162537871,
      0.6665454526497325,
      0.6576988378756753,
      0.6489805415991431,
      0.6403879252708908,
      0.631918499813094,
      0.6235698960826427,
      0.6153398437753034,
      0.6072261561614589,
      0.5992267199427247,
      0.5913394870132576,
      0.5835624688577965,
      0.5758937317794732,
      0.568331393316711,
      0.5608736194463362,
      0.5535186221457968,
      0.5462646572968215,
      0.539110022681995,
      0.5320530565899756,
      0.5250921361199967,
      0.518225675957074,
      0.5114521270377207,
      0.5047699755206141,
      0.49817774166145035,
      0.49167397826698567,
      0.48525727005547625,
      0.47892623263221384,
      0.4726795113905179,
      0.4665157807238719,
      0.4604337433001248,
      0.454432128969324,
      0.4485096940975519,
      0.442665220771008,
      0.43689751597587595,
      0.43120541091005216,
      0.42558776042937846,
      0.4200434424034314,
      0.4145713567296141,
      0.4091704250245185,
      0.40383958990206126,
      0.3985778145279361,
      0.3933840819947763,
      0.38825739482563787,
      0.38319677427705845,
      0.378201259951838,
      0.37326990947011296,
      0.3684017978437085,
      0.3635958535532956,
      0.3588508665355626,
      0.3541657315334258,
      0.3495394389316239,
      0.34497104969535103,
      0.34045967756127765,
      0.33600447677891393,
      0.3316046336949083,
      0.32725936063772565,
      0.3229678917276613,
      0.3187294799494777,
      0.31454339488198146,
      0.3104089210778606,
      0.3063253570263313,
      0.30229201414955464,
      0.2983082160594733,
      0.2943732981639863,
      0.2904866518590816,
      0.2866478313356035,
      0.28285637426710053,
      0.27911176973138657,
      0.2754134766710137,
      0.2717609605165869,
      0.268153949008068,
      0.2645923010224673,
      0.26107604779056875,
      0.25760535249494926,
      0.25418015470487115,
      0.25080021081801906,
      0.2474651777186748,
      0.2441747725002021,
      0.2409286785647182,
      0.23772648103066799,
      0.23456770165229254,
      0.23145182235265857,
      0.22837830110462698,
      0.22534658262474203,
      0.22235610549818086,
      0.21940628398081086,
      0.21649646404080503,
      0.21362601148406107,
      0.2107943258378188,
      0.20800083192069005,
      0.20524497427895372,
      0.20252621348920682,
      0.1998440232833379,
      0.19719788879070074,
      0.19458730526852483,
      0.19201177707423872,
      0.18947081715648642,
      0.18696394635044544,
      0.18449069325231238,
      0.18205059376836785,
      0.17964319096205547,
      0.17726803482901185,
      0.17492468205098127,
      0.1726126958805885,
      0.17033164614427954,
      0.1680811088673856,
      0.16586066636673977,
      0.16366990711128038,
      0.16150842552907924,
      0.1593758218869645,
      0.15727170230675605,
      0.15519567861277983,
      0.1531473681568629,
      0.1511263937792225,
      0.14913238375293092,
      0.14716497177561272,
      0.14522379658810877,
      0.14330850226939096,
      0.1414187379298749,
      0.13955415761016965,
      0.13771442020714109,
      0.13589918952853605,
      0.1341081341206173,
      0.1323409272250207,
      0.1305972467238728,
      0.12887677495295563,
      0.12717919882115006,
      0.12550420944785423,
      0.12385150240509973,
      0.12222077756020851,
      0.12061173885540243,
      0.11902409439971716,
      0.11745755642754463,
      0.11591184111793806,
      0.11438666854741975,
      0.11288176273831729,
      0.11139685150959992,
      0.10993166650602752,
      0.10848594299154501,
      0.10705941994732068,
      0.10565183998507224,
      0.10426294923418988,
      0.10289249725341253,
      0.10154023710673811,
      0.10020592529221801,
      0.09888932152329413,
      0.09759018889012362,
      0.09630829374605139,
      0.09504340558005639,
      0.09379529703989185,
      0.09256374388964206,
      0.09134852494640655,
      0.09014942200229767,
      0.08896621992845109,
      0.0877987065799456,
      0.0866466725011559,
      0.08550991121983968,
      0.08438821901052836,
      0.08328139488749682,
      0.08218924072517574,
      0.08111156095598766,
      0.08004816273864414,
      0.07899885573216682,
      0.07796345225425447,
      0.07694176720443927,
      0.07593360882995845,
      0.074938772488956,
      0.0739570612923177,
      0.07298828760353383,
      0.07203227086287146,
      0.07108883597242778,
      0.0701578122174847,
      0.06923903261144537,
      0.06833233343906578,
      0.06743755387566651,
      0.06655453569657759,
      0.0656831230661975,
      0.06482316244744904,
      0.06397450245269115,
      0.0631369938651421,
      0.06231048951843339,
      0.06149484430842075,
      0.060689915005358426,
      0.05989556035025264,
      0.05911164086241108,
      0.05833801904835076,
      0.057574559159854245,
      0.056821127317945586,
      0.05607759150424738,
      0.05534382135547887,
      0.054619688231476324,
      0.05390506528010646,
      0.05319982732763629,
      0.052503850899525834,
      0.051817013967623546,
      0.0511391962118634,
      0.05047027893213787,
      0.04981014496291375,
      0.04915867873394915,
      0.04851576620970277,
      0.04788129490449924,
      0.04725515370636813,
      0.04663723308795607,
      0.04602742498287325,
      0.0454256225788071,
      0.044831720627432535,
      0.044245615238419196,
      0.04366720387615364,
      0.04309638533295302,
      0.0425330597898601,
      0.041977128797054064,
      0.041428481972764664,
      0.040886984009735894,
      0.04035250878477795,
      0.03982494246800051,
      0.03930417999415011,
      0.038790122738531566,
      0.03828267680950496,
      0.03778175194141237,
      0.03728726061787331,
      0.036799117759231864,
      0.03631724011383164,
      0.035841546044643145,
      0.03537195528065866,
      0.034908388851899556,
      0.03445076898457089,
      0.03399901901381666,
      0.03355306350741795,
      0.03311282794258515,
      0.03267823867893234,
      0.0322492231670503,
      0.031825709833556835,
      0.0314076280814541,
      0.030994908100072674,
      0.030587481101362328,
      0.030185279057124,
      0.02978823606125832,
      0.029396289707568864,
      0.029009377833194662,
      0.028627437935870016,
      0.028250407635757372,
      0.027878224819421676,
      0.027510827835583847,
      0.027148155673975015,
      0.026790147866492066,
      0.02643674455914137,
      0.026087886704117706,
      0.025743515930391623,
      0.025403574614380885,
      0.02506800580064035,
      0.024736753207942764,
      0.02440976127608352,
      0.02408697519658541,
      0.023768340812597388,
      0.02345380472479305,
      0.02314331424778836,
      0.02283681738188969,
      0.022534262107200193,
      0.0222355823342722,
      0.021940705721185557,
      0.021649567975548407,
      0.021362110731734416,
      0.02107827978439425,
      0.020798024049594042,
      0.020521294781086292,
      0.020248044867261603,
      0.019978228837569303,
      0.01971180227719277,
      0.01944872169764395,
      0.019188944442637003,
      0.01893242859098116,
      0.018679132881381233,
      0.01842901667786018,
      0.018182039918722522,
      0.01793816299753844,
      0.017697347021667895,
      0.017459553494157638,
      0.017224744487521326,
      0.01699288238020938,
      0.016763930211964474,
      0.016537851456099623,
      0.016314610067094136,
      0.016094170421956426,
      0.015876497282415632,
      0.015661555962116686,
      0.015449312114168424,
      0.015239731857328067,
      0.015032781827536253,
      0.01482842897079078,
      0.014626640712647224,
      0.014427384887460034,
      0.0142306296824172,
      0.014036343728957967,
      0.01384449597342201,
      0.013655055828632894,
      0.013467993168651302,
      0.013283278051504782,
      0.013100880951521662,
      0.012920772847227,
      0.01274292497366864,
      0.01256730901518122,
      0.012393897032375758,
      0.012222661269787445,
      0.012053574435126986,
      0.011886609458574135,
      0.011721739774562185,
      0.011558939071285588,
      0.011398181403792593,
      0.011239441130250358,
      0.011082692938731386,
      0.010927911811464436,
      0.010775073066533688,
      0.010624152286432128,
      0.010475125449889423,
      0.010327968750835723,
      0.010182658765719284,
      0.010039172303575154,
      0.0098974864933452,
      0.009757578636623633,
      0.009619426544939035,
      0.009483008140800135,
      0.009348301651194168,
      0.00921528556012162,
      0.009083938734192878,
      0.00895424024428525,
      0.008826169296046056,
      0.008699705517288242,
      0.008574828693629917,
      0.008451518943481793,
      0.008329756627314961,
      0.008209522270739022,
      0.008090796710559766,
      0.00797356101321715,
      0.007857796527802396,
      0.007743484768201763,
      0.007630607518834595,
      0.007519146782057275,
      0.007409084790320453,
      0.007300403917318159,
      0.007193086805962797,
      0.007087116363953621,
      0.006982475741268757,
      0.006879148181128543,
      0.006777117304305462,
      0.006676366783946023,
      0.006576880529540133,
      0.006478642655586747,
      0.006381637508263408,
      0.00628584966768762,
      0.006191263919138359,
      0.006097865129789762
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567673104301123,
      10.339831233119394,
      10.10522112212351,
      9.866523185037526,
      9.625970868042646,
      9.385530554748941,
      9.146883731043696,
      8.911436075090991,
      8.680335122703866,
      8.45445496074908,
      8.23440081292369,
      8.020524767991638,
      7.812949698719814,
      7.611601132926038,
      7.416244204722783,
      7.22651944151085,
      7.041979357141104,
      6.86212195550097,
      6.686419364709952,
      6.514343115899009,
      6.345385557583889,
      6.179076909097651,
      6.014995535922557,
      5.852783005190612,
      5.6921546941209,
      5.532897596823907,
      5.374868831199198,
      5.2179978109149205,
      5.062287114756717,
      4.90781622251606,
      4.754726182202978,
      4.603201274949607,
      4.45348481034739,
      4.305874119626348,
      4.1607087467877655,
      4.018362209164927,
      3.8792437799140935,
      3.7437680636397395,
      3.612327313282273,
      3.485280988524475,
      3.3629470316784675,
      3.2455952336921756,
      3.1334436526896536,
      3.0266562019360688,
      2.9253418041948653,
      2.8295504069101973,
      2.739274640329543,
      2.654453649022004,
      2.5749739870923776,
      2.5006676909770977,
      2.4313089853611713,
      2.3666436354336486,
      2.3063933134008114,
      2.250255686542431,
      2.1979000255640604,
      2.148953593730495,
      2.103022115093089,
      2.059745809508351,
      2.0187868995157254,
      1.9798206096091748,
      1.9425701434301923,
      1.9068199523903586,
      1.8724016491219848,
      1.839179487765038,
      1.8070404514151586,
      1.7758859738031723,
      1.745635702476231,
      1.7162244802421216,
      1.687598388333286,
      1.6597110516273235,
      1.632519605867037,
      1.6059868024675528,
      1.580080470587965,
      1.554772279116119,
      1.5300368554658548,
      1.5058511545078024,
      1.4821940028240506,
      1.459045767434967,
      1.4363881116396269,
      1.4142038122986096,
      1.3924766221304372,
      1.3711912948903198,
      1.350334093441609,
      1.3298920577625988,
      1.3098525602274336,
      1.2902036396372285,
      1.2709341783616595,
      1.2520333265308132,
      1.2334904722693403,
      1.2152952964230606,
      1.1974378038512103,
      1.1799083392471437,
      1.1626975918741205,
      1.1457965942468773,
      1.12919686824016,
      1.1128910148250246,
      1.0968723297631053,
      1.081134275130725,
      1.0656701894124834,
      1.0504734066357646,
      1.035537333812515,
      1.020855502004788,
      1.0064215975298039,
      0.9922294808623281,
      0.9782731957831287,
      0.9645469737471413,
      0.9510453225052484,
      0.9377638634197195,
      0.9246986807777278,
      0.9118455783708281,
      0.8992002201074621,
      0.8867582220229652,
      0.8745152135305359,
      0.8624668779246925,
      0.8506089776348298,
      0.8389373704053326,
      0.8274479115559534,
      0.8161367294692621,
      0.8050013228849016,
      0.7940393917274501,
      0.7832482430561286,
      0.7726249530357054,
      0.7621664748605331,
      0.7518697093189352,
      0.7417315516687999,
      0.7317489227647671,
      0.7219187882441566,
      0.7122381708459681,
      0.7027041577379144,
      0.6933139045097763,
      0.6840646256797337,
      0.674953076286163,
      0.665975817895476,
      0.6571297580580003,
      0.6484120598251004,
      0.6398200799512022,
      0.6313513259494437,
      0.6230034260800144,
      0.6147741082132011,
      0.6066611846292417,
      0.5986625410505066,
      0.5907761286481319,
      0.5829999581762527,
      0.5753320955476193,
      0.5677706577595714,
      0.5603138102161931,
      0.55295976435954,
      0.5457067756417574,
      0.5385531414125141,
      0.5314971994407475,
      0.5245373264670493,
      0.5176719367424462,
      0.510899480789573,
      0.5042184444431276,
      0.49762734743868325,
      0.4911247423434291,
      0.4847092134781029,
      0.47837937609036885,
      0.4721338751735302,
      0.46597138459638515,
      0.4598906066000534,
      0.4538902707001037,
      0.447969132811366,
      0.4421259746243971,
      0.4363596028819622,
      0.43066884827829605,
      0.42505256525620116,
      0.41950963117954454,
      0.41403894567240823,
      0.4086394299497297,
      0.40331002631942936,
      0.3980496976052703,
      0.3928574263643533,
      0.38773221476740505,
      0.38267308376977555,
      0.37767907269490086,
      0.3727492387227981,
      0.3678826564890711,
      0.3630782262986183,
      0.3583347349297156,
      0.3536510869512839,
      0.3490262795683672,
      0.34445937825695927,
      0.33994949982097306,
      0.3354958005112481,
      0.33109746794535144,
      0.32675371514729123,
      0.32246377675205357,
      0.3182269058743497,
      0.3140423720400389,
      0.30990945980549883,
      0.30582746746360084,
      0.3017957061518289,
      0.29781349938637963,
      0.2938801822456119,
      0.2899951791683977,
      0.28615804899148795,
      0.2823683164251234,
      0.27862546190118914,
      0.27492893791253215,
      0.27127822248511957,
      0.2676730688585457,
      0.26411336647092937,
      0.2605992596397545,
      0.25713087928380757,
      0.2537081088037331,
      0.25033066608584975,
      0.246998250266758,
      0.24371059623071722,
      0.24046733876704823,
      0.23726803021036835,
      0.23411217003765303,
      0.2309992251734208,
      0.22792864321704182,
      0.2248998619255672,
      0.22191231519115523,
      0.21896540225530234,
      0.21605846584057192,
      0.21319087480078264,
      0.21036203065171236,
      0.20757135955418132,
      0.2048183069959527,
      0.20210233404563652,
      0.1994229148089244,
      0.196779534836502,
      0.19417168948573663,
      0.19159888332484323,
      0.18906062931819093,
      0.18655644845146996,
      0.18408586935115104,
      0.18164842796000627,
      0.17924366738325456,
      0.17687113758637962,
      0.1745303952880591,
      0.17222100370420945,
      0.1699425326134961,
      0.16769455817225173,
      0.1654766627205111,
      0.16328843467379972,
      0.16112946843714696,
      0.15899936441129855,
      0.15689772871606242,
      0.1548241730435003,
      0.1527783147552714,
      0.1507597767856893,
      0.14876818747774095,
      0.146803180498052,
      0.14486439474758742,
      0.1429514741858053,
      0.14106406788566492,
      0.13920182995702898,
      0.13736441939615837,
      0.13555150000038307,
      0.13376274039879263,
      0.13199781384969397,
      0.13025639822366467,
      0.1285381758989493,
      0.12684283375967326,
      0.12517006305554965,
      0.1235195594022659,
      0.12189102253488505,
      0.12028415648759326,
      0.11869866947526975,
      0.1171342736995459,
      0.1155906854414421,
      0.1140676248294946,
      0.11256481593254485,
      0.11108198660423321,
      0.10961886851827632,
      0.10817519708885605,
      0.10675071126371811,
      0.10534515364694862,
      0.103958270468624,
      0.10258981135026188,
      0.10123952935519763,
      0.09990718096177965,
      0.09859252602883777,
      0.09729532767746116,
      0.0960153522792581,
      0.09475236945585191,
      0.09350615200036098,
      0.0922764756256579,
      0.09106311916151681,
      0.08986586457817693,
      0.0886844967090348,
      0.08751880340343779,
      0.0863685753656641,
      0.08523360613105145,
      0.08411369212855023,
      0.08300863255639704,
      0.08191822907359181,
      0.08084228623152596,
      0.07978061125459475,
      0.07873301391938083,
      0.07769930655436773,
      0.07667930409004216,
      0.07567282394046031,
      0.07467967953864721,
      0.07369966936113968,
      0.07273259839306702,
      0.07177828102080831,
      0.07083653866271468,
      0.0699071984509945,
      0.06899009192243731,
      0.06808505437135505,
      0.06719192425508826,
      0.06631054281139201,
      0.06544075388044499,
      0.06458240377774183,
      0.06373534105567087,
      0.06289941655923761,
      0.062074483070655495,
      0.061260395406669534,
      0.06045701043729144,
      0.05966418687362112,
      0.05888178549220655,
      0.05810966888022003,
      0.0573477013625278,
      0.05659574916100911,
      0.055853680306376156,
      0.05512136441728898,
      0.05439867303849699,
      0.053685479372344705,
      0.052981658248840616,
      0.05228708624826206,
      0.05160164152809026,
      0.05092520377353635,
      0.05025765439250165,
      0.049598876370372406,
      0.04894875421959119,
      0.04830717401196505,
      0.047674023222158156,
      0.04704919095235487,
      0.04643256766348041,
      0.045824045296582655,
      0.04522351718660877,
      0.044630878137545606,
      0.04404602431848132,
      0.04346885331463044,
      0.04289926407211005,
      0.042337156800563824,
      0.04178243306795825,
      0.041234995748084625,
      0.040694727427156095,
      0.04016149379120763,
      0.03963517367501025,
      0.039115657056082186,
      0.03860284183367291,
      0.03809663186269483,
      0.037596935300397955,
      0.037103663682106665,
      0.03661673114693752,
      0.03613605389915479,
      0.03566154995460501,
      0.0351931389002159,
      0.034730741666128426,
      0.03427428048421211,
      0.03382367870858953,
      0.03337886073251398,
      0.032939752167164396,
      0.032506279519199856,
      0.03207837037452187,
      0.03165595326165543,
      0.031238957442386802,
      0.030827313313022173,
      0.030420952113080078,
      0.03001980604783953,
      0.029623809113819184,
      0.029232899045585636,
      0.028847013642962556,
      0.02846609057316641,
      0.028090067492709783,
      0.027718882379255367,
      0.027352473680185722,
      0.026990780380331647,
      0.026633742119467816,
      0.026281299159718486,
      0.025933392527125797,
      0.025589963920701547,
      0.02525095575155397,
      0.02491631114642068,
      0.024585973985885363,
      0.024259888792869153,
      0.02393800080797065,
      0.02362025601049729,
      0.023306600996035244,
      0.022996983110735728,
      0.022691350359706763,
      0.02238965143238716,
      0.02209183576880047,
      0.021797851396830673,
      0.021507631879707535,
      0.021221107975801734,
      0.020938217998331118,
      0.02065890557740057,
      0.02038311846618362,
      0.02011080716099223,
      0.01984192437689796,
      0.019576424569777942,
      0.019314263420706457,
      0.01905539782781662,
      0.01879978552105569,
      0.018547384998428427,
      0.01829815549688329,
      0.01805205695349146,
      0.017809049848228013,
      0.017569095176415684,
      0.017332154563122783,
      0.017098189966293077,
      0.016867163947475852,
      0.016639039601288215,
      0.016413780563621885,
      0.016191350665285775,
      0.01597171437559442,
      0.015754836618464527,
      0.015540682628373891,
      0.015329218291422217,
      0.015120409782298755,
      0.01491422378808107,
      0.01471062730741556,
      0.014509587845641535,
      0.014311073274598768,
      0.014115051846614523,
      0.013921492267093336,
      0.013730363603637084,
      0.013541635355563221,
      0.013355277378789387,
      0.0131712598439234,
      0.012989553373769851,
      0.012810128959827883,
      0.012632957943900024,
      0.012458011950249263,
      0.01228526305415286,
      0.012114683697886996,
      0.011946246607909586,
      0.011779924847033755,
      0.011615691772270313,
      0.011453521254667707,
      0.011293387424346364,
      0.011135264670608757,
      0.010979127713158366,
      0.0108249515985167,
      0.010672711684674305,
      0.010522383709852947,
      0.01037394353193065,
      0.010227367478889563,
      0.01008263224969902,
      0.009939714619244124,
      0.009798591811594507,
      0.009659241302463645,
      0.009521640864461866,
      0.009385768537071295,
      0.00925160255319113,
      0.009119121425544373,
      0.008988304021288746,
      0.00885912948563763,
      0.008731577172425556,
      0.00860562663955625,
      0.008481257791478212,
      0.008358450813073839,
      0.008237186079064944,
      0.008117444242483037,
      0.007999206177753333,
      0.007882452981931742,
      0.0077671659960171415,
      0.0076533267889712375,
      0.007540917180727285,
      0.007429919177262878,
      0.007320315090802051,
      0.007212087438532326,
      0.007105218937599058,
      0.006999692590097255,
      0.006895491501665667,
      0.006792598980674147,
      0.006690998650755233,
      0.00659067424666659,
      0.0064916097030574965,
      0.006393789116837744,
      0.006297196913831011,
      0.006201817717495118,
      0.006107636377839614,
      0.006014637854648444
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567664506538037,
      10.339803357495258,
      10.105166583962733,
      9.866437430689226,
      9.625851108243625,
      9.385375398829316,
      9.146693140643762,
      8.911210620511518,
      8.680075523406893,
      8.454161904565545,
      8.234075154805792,
      8.020167320182493,
      7.8125611478642005,
      7.611181994372762,
      7.415794733650554,
      7.226039683509978,
      7.041469213524641,
      6.861581250278664,
      6.685847916079965,
      6.5137407360171125,
      6.344752117065841,
      6.178412418613073,
      6.014300303196317,
      5.852057714801786,
      5.691400319114646,
      5.532115451510058,
      5.37406060194377,
      5.217165630919806,
      5.0614335478848576,
      4.906944238484224,
      4.753839266134828,
      4.602303349851652,
      4.452580108971929,
      4.3049671220678425,
      4.159804100627696,
      4.017464994236807,
      3.878359503015926,
      3.7429019374118444,
      3.611484166092645,
      3.4844651857037108,
      3.3621624120353775,
      3.244845046793379,
      3.1327305219136137,
      3.0259821476514794,
      2.924708131367328,
      2.8289576326983976,
      2.7387226830674427,
      2.653941585043447,
      2.5744999171229432,
      2.5002290369538724,
      2.430902493494141,
      2.366265926267137,
      2.3060408575569458,
      2.249924770366903,
      2.19758663162576,
      2.148653233655001,
      2.1027306579677925,
      2.0594597482609545,
      2.018502849590719,
      1.9795357189400047,
      1.9422822637442283,
      1.906527513286046,
      1.872103510939745,
      1.83887483458018,
      1.8067286253679038,
      1.7755665089479717,
      1.7453083219294243,
      1.715889043262951,
      1.6872548514029784,
      1.6593594563809555,
      1.6321600669192746,
      1.60561945458721,
      1.579705461514996,
      1.554389764444126,
      1.5296469949826257,
      1.5054541093329221,
      1.4817899336976657,
      1.4586348334931742,
      1.4359704693674926,
      1.4137796154190065,
      1.392046020542577,
      1.3707544453180458,
      1.349891163436146,
      1.3294432039315107,
      1.3093979302698715,
      1.289743413287791,
      1.2704685335390618,
      1.2515624218699413,
      1.2330144525692621,
      1.2148142955772514,
      1.1969519475975323,
      1.1794177469224527,
      1.1622023778331911,
      1.1452968681811657,
      1.128692750874354,
      1.1123826503550982,
      1.0963598578074438,
      1.080617821473239,
      1.0651498692611325,
      1.0499493267098385,
      1.0350095951937817,
      1.0203242008547708,
      1.0058868260130092,
      0.9916913280205006,
      0.9777317482592964,
      0.9640023158507244,
      0.950497623050828,
      0.9372134142460388,
      0.9241457027863706,
      0.9112902442570824,
      0.8986426687901518,
      0.8861985690888552,
      0.8739535582205946,
      0.8619033077444325,
      0.8500435718180088,
      0.8383702022886155,
      0.8268791244033836,
      0.8155666149347731,
      0.8044303270508437,
      0.793467826546899,
      0.7826763308462912,
      0.772052855551741,
      0.7615943122882702,
      0.7512975738376103,
      0.7411595163783424,
      0.7311770476552709,
      0.7213471243154042,
      0.7116667628715723,
      0.7021330463173039,
      0.6927431272098704,
      0.6834942287647717,
      0.6743831306754576,
      0.6654063856677142,
      0.6565608904534359,
      0.6478438008007517,
      0.6392524684338958,
      0.6307843973798529,
      0.622437213454975,
      0.6142086425795982,
      0.6060964956157912,
      0.5980986570830623,
      0.590213077586613,
      0.5824377670784583,
      0.5747707906533402,
      0.5672102646942456,
      0.5597543543392911,
      0.5524012705210802,
      0.5451492681344647,
      0.5379966443745668,
      0.5309417366418041,
      0.523982921163613,
      0.517118611806213,
      0.5103472588035851,
      0.5036673475628167,
      0.4970773973481089,
      0.4905759602813485,
      0.4841616203598233,
      0.47783299224147713,
      0.47158872046423683,
      0.4654274786715732,
      0.45934796877337747,
      0.4533489198933642,
      0.4474290874375142,
      0.4415872526936068,
      0.4358222220256329,
      0.43013282579334033,
      0.4245179181442707,
      0.41897637597799264,
      0.4135070984832846,
      0.4081090065398244,
      0.4027810421649288,
      0.3975221676771187,
      0.39233136523966555,
      0.3872076366339099,
      0.3821500024514219,
      0.3771575015962907,
      0.37222919094739554,
      0.36736413920562083,
      0.36256122126077606,
      0.3578192264358013,
      0.3531370684275328,
      0.34851375046879934,
      0.3439483421907376,
      0.33943996297220047,
      0.3349877708670589,
      0.3305909546805629,
      0.3262487282783461,
      0.32196032649906137,
      0.3177250025815006,
      0.31354202610703324,
      0.30941068142592304,
      0.3053302667171365,
      0.30130009289009774,
      0.29731948324339,
      0.2933877726454454,
      0.28950441953749473,
      0.28566898609960584,
      0.2818809842388674,
      0.27813988525105143,
      0.27444513559027967,
      0.27079622748224985,
      0.2671929395849403,
      0.263635231340772,
      0.2601233387737855,
      0.2566573196940108,
      0.2532370079282822,
      0.24986211244261625,
      0.24653238606256103,
      0.24324753059262974,
      0.24000714031683396,
      0.23681074010114114,
      0.2336578108399497,
      0.2305478067380347,
      0.2274801668726022,
      0.22445432306469543,
      0.22146970528560836,
      0.21852569856574422,
      0.21562164273654644,
      0.21275690975942213,
      0.20993090320855898,
      0.207143050718936,
      0.20439279874834854,
      0.20167960917734068,
      0.19900295655083983,
      0.19636232655005847,
      0.19375721483721575,
      0.19118712612875863,
      0.18865157354541365,
      0.18615007814808388,
      0.1836821685052056,
      0.18124738065999493,
      0.17884525786130978,
      0.1764753499558453,
      0.17413721364859208,
      0.17183041225866022,
      0.169554515574365,
      0.167309099718378,
      0.16509374700998666,
      0.16290804582414475,
      0.16075159066367894,
      0.158623981815169,
      0.15652482545927354,
      0.15445373343447777,
      0.15241032300979368,
      0.1503942172194802,
      0.14840504438703986,
      0.1464424381476288,
      0.14450603740275747,
      0.14259548618196816,
      0.14071043368471436,
      0.13885053400665912,
      0.13701544612845387,
      0.13520483391264462,
      0.13341836592424958,
      0.13165571545640362,
      0.1299165603349918,
      0.12820058309968735,
      0.12650747067173673,
      0.12483691431511076,
      0.12318860961744602,
      0.12156225644006251,
      0.11995755884335366,
      0.11837422510831838,
      0.11681196746612064,
      0.11527050219675768,
      0.11374954953688655,
      0.11224883351817737,
      0.11076808203407759,
      0.10930702682404735,
      0.10786540333675877,
      0.10644295059294541,
      0.10503941128270258,
      0.10365453158888474,
      0.10228806116859772,
      0.10093975319068363,
      0.09960936422638333,
      0.0982966541322287,
      0.09700138612234092,
      0.09572332666154162,
      0.09446224539504396,
      0.09321791499348173,
      0.09199011138402924,
      0.09077861350903473,
      0.08958320330543569,
      0.08840366567537468,
      0.08723978856265291,
      0.08609136274737149,
      0.08495818182864266,
      0.08384004225539562,
      0.08273674311599223,
      0.08164808635093546,
      0.08057387653974969,
      0.07951392094237202,
      0.07846802939094875,
      0.07743601431843347,
      0.07641769073257061,
      0.07541287606907379,
      0.07442139039693378,
      0.07344305156891232,
      0.07247766234917134,
      0.0715250294001681,
      0.07058496878612974,
      0.06965730401037012,
      0.0687418642338153,
      0.06783848310032134,
      0.06694699793830051,
      0.06606724935159171,
      0.0651990806887988,
      0.06434233803849408,
      0.06349686983054552,
      0.0626625267134747,
      0.06183916145573655,
      0.06102662894420067,
      0.06022478604418151,
      0.059433491571719316,
      0.05865260623821139,
      0.05788199265629292,
      0.057121515269982825,
      0.05637104037760086,
      0.055630436005931025,
      0.054899572045224804,
      0.05417832000625165,
      0.05346655315908333,
      0.05276414649047083,
      0.052070976553360085,
      0.05138692166596594,
      0.05071186162750637,
      0.05004567796445596,
      0.04938825372204162,
      0.04873947336020316,
      0.04809922308107285,
      0.047467390514196475,
      0.04684386479542439,
      0.04622853649536046,
      0.04562129751209423,
      0.04502204136028721,
      0.04443066288097061,
      0.04384705837966528,
      0.04327112551870762,
      0.042702763262404624,
      0.042141871970482005,
      0.041588353293161615,
      0.04104211011891398,
      0.04050304469291895,
      0.0399710340539064,
      0.039445947104679836,
      0.03892766711994317,
      0.038416087415258746,
      0.037911108644560605,
      0.03741263683204559,
      0.03692058198808091,
      0.03643485720472744,
      0.035955378173680434,
      0.0354820625011891,
      0.03501482955185194,
      0.03455360011167543,
      0.03409829633022875,
      0.03364884152151749,
      0.033205160106404154,
      0.032767177695925694,
      0.03233482087703827,
      0.03190801723440771,
      0.031486695312451046,
      0.031070784593740918,
      0.03066021544288686,
      0.030254919107893807,
      0.029854827890410426,
      0.029459875847411558,
      0.029070000773315542,
      0.028685140607012324,
      0.02830523293225529,
      0.02793021560823217,
      0.02756002674587108,
      0.027194604831507624,
      0.02683388891246867,
      0.026477818800635242,
      0.026126334894162755,
      0.025779378249772163,
      0.025436890542745904,
      0.025098814309400527,
      0.024765092785808556,
      0.024435669800086685,
      0.024110490004257197,
      0.023789498797346344,
      0.023472642181586272,
      0.02315986689463151,
      0.022851120289925756,
      0.02254635045506846,
      0.02224550620561595,
      0.02194853690366184,
      0.0216553926284993,
      0.02136602410198575,
      0.021080379909436023,
      0.020798394396074598,
      0.020520000788841787,
      0.020245139504558095,
      0.019973756211355834,
      0.019705800101998506,
      0.01944122317984047,
      0.01917997959360326,
      0.018922025050709806,
      0.018667316624728363,
      0.01841581235814422,
      0.018167471136160292,
      0.017922252582645664,
      0.0176801171119918,
      0.01744102574207338,
      0.0172049399669304,
      0.016971821822030792,
      0.016741633970928933,
      0.01651433943149001,
      0.016289901800029722,
      0.01606828518485107,
      0.015849453989093803,
      0.015633373273857953,
      0.015420008436585801,
      0.015209325272614352,
      0.015001290178330053,
      0.014795869771105523,
      0.014593031146554688,
      0.014392741876574498,
      0.014194970028679983,
      0.01399968377333224,
      0.013806851920879888,
      0.013616443716546335,
      0.013428428630520572,
      0.013242776550141559,
      0.013059457877948738,
      0.012878443212080124,
      0.01269970352984212,
      0.012523210341153326,
      0.012348935328488141,
      0.012176850566853274,
      0.012006928452125884,
      0.01183914191104139,
      0.011673464167639687,
      0.01150986867634555,
      0.01134832925968368,
      0.01118882009452965,
      0.011031315655354607,
      0.010875790798678293,
      0.01072222049231728,
      0.010570580175503701,
      0.010420845656133394,
      0.010272992990200533,
      0.010126998540632903,
      0.009982838973605957,
      0.009840491141483786,
      0.009699932208383888,
      0.009561139706817573,
      0.009424091557579865,
      0.009288765754097181,
      0.009155140727897292,
      0.009023195098403535,
      0.00889290771004812,
      0.008764257727239867,
      0.008637224571695046,
      0.008511787879941897,
      0.008387927575962332,
      0.008265623925910107,
      0.008144857416347283,
      0.008025608696660915,
      0.007907858674890734,
      0.0077915884554153126,
      0.007676779481166183,
      0.007563413397173773,
      0.007451472074013676,
      0.007340937523754746,
      0.0072317921603397865,
      0.007124018456775338,
      0.0070175991374963895,
      0.006912517224736034,
      0.006808755946636339,
      0.006706298639567725,
      0.0066051289435217495,
      0.006505230674210728,
      0.006406587899675194,
      0.006309184826653398,
      0.006213005916867387,
      0.006118035794122371,
      0.006024259209378801,
      0.005931661165568273
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567655911826286,
      10.339775491937068,
      10.105112075037448,
      9.866351729020176,
      9.625731420201454,
      9.385220333669857,
      9.14650266010527,
      8.91098529652747,
      8.679815956445063,
      8.453868797844933,
      8.233749377392588,
      8.019809695210611,
      7.81217237041651,
      7.61076258727776,
      7.415344960039364,
      7.225559598435173,
      7.04095872551602,
      6.861040191383873,
      6.6852761108792595,
      6.513138000251178,
      6.344118323972159,
      6.177747577443115,
      6.0136047339021985,
      5.8513321160666045,
      5.69064566410633,
      5.531333056349408,
      5.373252154986173,
      5.216333267014263,
      5.060579831849853,
      4.906072140785272,
      4.752952167192704,
      4.601405182541262,
      4.451675114276263,
      4.304059786732079,
      4.1588990782610065,
      4.016567367972979,
      3.8774747806679732,
      3.742035331312258,
      3.6106405046739503,
      3.483648834917219,
      3.3613772092203575,
      3.244094240822129,
      3.1320167362682474,
      3.0253074020005406,
      2.924073729760258,
      2.828364091544971,
      2.73816992197155,
      2.653428683940003,
      2.5740249800203236,
      2.4997894889973944,
      2.430495086047257,
      2.3658872860878524,
      2.305687461017264,
      2.2495928840281167,
      2.197272223102036,
      2.1483518287827295,
      2.102438140882835,
      2.0591726244929425,
      2.0182177447370266,
      1.9792497892288232,
      1.9419933670363174,
      1.9062340841136973,
      1.8718044130470661,
      1.8385692553186705,
      1.806415909014588,
      1.7752461900535301,
      1.7449801244079746,
      1.7155528266177436,
      1.6869105715611,
      1.6590071548052285,
      1.6317998579352917,
      1.60525147246597,
      1.5793298533503304,
      1.5540066847391218,
      1.5292566023041065,
      1.5050565640676439,
      1.4813853960945,
      1.458223462344317,
      1.4355524206124934,
      1.4133550417861687,
      1.3916150720706129,
      1.37031727802694,
      1.3494479441496812,
      1.3289940883589784,
      1.3089430657076664,
      1.289282978143796,
      1.2700027042990931,
      1.2510913565490618,
      1.232538294738888,
      1.2143331786209883,
      1.1964659969048623,
      1.1789270811376618,
      1.1617071103280892,
      1.1447971083421726,
      1.1281886194454824,
      1.1118742920316604,
      1.0958474122246709,
      1.0801014141054937,
      1.0646296146312524,
      1.0494253313427442,
      1.0344819591472056,
      1.019793019556254,
      1.0053521914379744,
      0.9911533288051145,
      0.9771904702731096,
      0.9634578428724438,
      0.9499501240141147,
      0.9366631810998126,
      0.9235929563832134,
      0.9107351569334386,
      0.8980853795093646,
      0.8856391933273375,
      0.8733921951079677,
      0.8613400447259799,
      0.8494784880175209,
      0.8378033706295634,
      0.8263106458584217,
      0.814996903758323,
      0.8038598003038129,
      0.7928967777148569,
      0.7821049699346726,
      0.771481335737279,
      0.761022748279922,
      0.7507260537704619,
      0.7405881106041737,
      0.7306058140171876,
      0.7207761122873352,
      0.7110960162419675,
      0.7015626049329318,
      0.6921730279118644,
      0.6829245064095651,
      0.6738138504593467,
      0.6648376147549233,
      0.6559926837072783,
      0.6472762045776973,
      0.6386855232764017,
      0.6302181398958138,
      0.6218716771094639,
      0.6136438587243288,
      0.6055324941229849,
      0.5975354669175973,
      0.5896507265287977,
      0.5818762821238124,
      0.5742101981991717,
      0.5666505906932622,
      0.5591956240892764,
      0.5518435090567866,
      0.5445924999768563,
      0.5374408935272718,
      0.5303870265797751,
      0.5234292751199794,
      0.5165660526204403,
      0.5097958089410338,
      0.5031170291026521,
      0.4965282316337527,
      0.4900279684286542,
      0.4836148230470508,
      0.4772874097984928,
      0.4710443729813568,
      0.4648843857722303,
      0.458806149609634,
      0.4528083931863774,
      0.4468898715631341,
      0.44104936573695624,
      0.43528568157643066,
      0.42959764911727083,
      0.4239841220181573,
      0.41844397685041146,
      0.4129761124521713,
      0.40757944924895956,
      0.40225292866970275,
      0.3969955127881674,
      0.39180618360764685,
      0.38668394249979365,
      0.38162780962102466,
      0.3766368235630007,
      0.3717100407302537,
      0.3668465149925172,
      0.3620451003466313,
      0.35730459746759674,
      0.3526239277766386,
      0.3480020996247016,
      0.3434381860357966,
      0.33893130877807676,
      0.33448062745024765,
      0.3300853316629758,
      0.3257446357042745,
      0.32145777479520404,
      0.3172240022489621,
      0.31304258753850683,
      0.308912814911409,
      0.3048339823069517,
      0.30080540045892873,
      0.29682639228423763,
      0.2928962988761581,
      0.28901460957587355,
      0.2851808833281847,
      0.28139462032855234,
      0.2776552836798599,
      0.2739623141374204,
      0.270315218844164,
      0.26671380862015653,
      0.2631581690725342,
      0.25964854041461266,
      0.25618491598529647,
      0.25276708532484987,
      0.24939479709333864,
      0.246067817057708,
      0.24278579677549142,
      0.23954829667385077,
      0.2363548185461597,
      0.23320482764034156,
      0.23009776755195913,
      0.22703307016734947,
      0.22401016239913912,
      0.2210284708473439,
      0.21808736649418248,
      0.21518618665485487,
      0.2123243066935355,
      0.20950113254905411,
      0.20671609336841967,
      0.2039686367061201,
      0.2012582250884217,
      0.19858433352345067,
      0.19594644808816228,
      0.19334406464599155,
      0.19077668804693262,
      0.1882438315025018,
      0.18574501613360078,
      0.18327977071521598,
      0.1808476312490347,
      0.1784481408075959,
      0.17608084931934084,
      0.17374531345944874,
      0.17144109662089302,
      0.16916776871820305,
      0.16692490586131786,
      0.1647120904269499,
      0.1625289107962192,
      0.16037496139435164,
      0.15824984260003389,
      0.15615316048630137,
      0.15408452690127913,
      0.15204355921482077,
      0.15002988043038246,
      0.1480431188928453,
      0.14608290820834927,
      0.14414888736393439,
      0.14224070041074,
      0.14035799656277165,
      0.13850042991635492,
      0.13666765949558812,
      0.1348593492299699,
      0.13307516767280564,
      0.13131478819830902,
      0.12957788876779594,
      0.1278641518246447,
      0.1261732642474397,
      0.1245049173359845,
      0.12285880673487352,
      0.12123463237057655,
      0.11963209839585913,
      0.1180509130586097,
      0.11649078861535514,
      0.11495144138503346,
      0.11343259164417441,
      0.11193396353498114,
      0.11045528504972144,
      0.10899628786204545,
      0.10755670745701428,
      0.10613628296833322,
      0.10473475707869084,
      0.10335187604007848,
      0.10198738957239464,
      0.10064105092029921,
      0.09931261665467019,
      0.09800184675260337,
      0.09670850449830155,
      0.09543235618523147,
      0.09417317154112641,
      0.09293072349057241,
      0.09170478803688763,
      0.09049514413556965,
      0.08930157377534906,
      0.08812386194236402,
      0.08696179659505898,
      0.08581516857319636,
      0.08468377160924709,
      0.08356740211148458,
      0.08246585926198516,
      0.08137894505125133,
      0.08030646407478344,
      0.07924822361882304,
      0.07820403368279381,
      0.07717370679815751,
      0.0761570579743332,
      0.07515390477108336,
      0.07416406718614516,
      0.07318736760892555,
      0.07222362826222943,
      0.07127265700308388,
      0.07033426177824527,
      0.06940826049717519,
      0.06849447849339044,
      0.06759274678767045,
      0.06670290107898653,
      0.06582478079466438,
      0.06495822859330778,
      0.06410309000101648,
      0.06325921313131137,
      0.06242644842744535,
      0.06160464854718822,
      0.06079366827470478,
      0.05999336451701865,
      0.059203596193645625,
      0.058424224044752955,
      0.057655110716670024,
      0.056896120755814475,
      0.05614712051420729,
      0.05540797816673901,
      0.054678563582952214,
      0.053958748373351746,
      0.05324840595528846,
      0.05254741127867681,
      0.05185564105084693,
      0.05117297361461077,
      0.05049928882969766,
      0.04983446828411936,
      0.049178395136716374,
      0.04853095404538528,
      0.04789203109450576,
      0.04726151408101068,
      0.04663929219279652,
      0.046025256106093385,
      0.04541929793905813,
      0.04482131120440317,
      0.044231190878717554,
      0.043648833327885626,
      0.04307413622513591,
      0.042506998629745434,
      0.04194732098539683,
      0.041395005025222975,
      0.04084995371646786,
      0.04031207142345306,
      0.03978125783835186,
      0.03925738604562851,
      0.03874033000812104,
      0.03822997666558232,
      0.037726222481322846,
      0.0372289704525877,
      0.036738128651156214,
      0.03625360894558005,
      0.03577532601171558,
      0.03530319682812785,
      0.03483714040623846,
      0.03437707723242968,
      0.033922929377569536,
      0.033474620214975145,
      0.03303207416576199,
      0.032595216696339364,
      0.032163974412135414,
      0.031738274974425947,
      0.031318046916283884,
      0.03090321983410723,
      0.030493724166488715,
      0.030089491294567654,
      0.0296904535218174,
      0.02929654503354976,
      0.028907703656742348,
      0.02852386745486394,
      0.028144974142741887,
      0.02777096152686256,
      0.02740176784741069,
      0.027037331682853428,
      0.026677592266295676,
      0.02632248927935735,
      0.02597196324604669,
      0.02562595528729656,
      0.0252844072913355,
      0.02494726181968884,
      0.024614462162414457,
      0.024285952160449743,
      0.02396167663477992,
      0.023641581023903603,
      0.023325611443985456,
      0.02301371468758543,
      0.022705838187209382,
      0.02240193008911577,
      0.02210193926681432,
      0.021805815126917996,
      0.021513507786424232,
      0.021224968049033354,
      0.020940147406483794,
      0.020658997827709483,
      0.020381469218702212,
      0.020107497321898662,
      0.019837017395971084,
      0.019569971561510437,
      0.01930630693268367,
      0.01904597425905197,
      0.01878892697563984,
      0.01853512046076351,
      0.01828451164500752,
      0.018037058715163323,
      0.017792720944065376,
      0.017551458378327122,
      0.017313231713518885,
      0.01707800238186882,
      0.016845732394599973,
      0.01661638428856247,
      0.016389921201950337,
      0.016166306818908373,
      0.01594550526519558,
      0.015727481056645343,
      0.015512199220871416,
      0.01529962521097835,
      0.015089724992728114,
      0.014882464942904992,
      0.014677811832008393,
      0.01447573287194291,
      0.014276195644830049,
      0.014079168128329624,
      0.013884618754757366,
      0.013692516325321605,
      0.013502830046722588,
      0.01331552955673347,
      0.013130584887913473,
      0.012947966356262677,
      0.012767644705718628,
      0.012589591025074605,
      0.012413776869964479,
      0.012240174094147677,
      0.012068754783530226,
      0.011899491458274257,
      0.011732357016006438,
      0.011567324682715227,
      0.0114043680349283,
      0.011243460927893568,
      0.01108457763457049,
      0.01092769266849574,
      0.010772780893730415,
      0.0106198174897655,
      0.010468777885948919,
      0.010319637951326838,
      0.010172373753745363,
      0.010026961713934593,
      0.009883378519315873,
      0.009741601153505001,
      0.009601606907709165,
      0.009463373380630477,
      0.009326878422443853,
      0.009192100213233002,
      0.009059017113761034,
      0.008927607796816013,
      0.00879785120810165,
      0.00866972660434418,
      0.008543213395727757,
      0.008418291300358486,
      0.00829494034097756,
      0.008173140804749096,
      0.008052873165958522,
      0.007934118130107954,
      0.007816856755553048,
      0.007701070150008544,
      0.0075867397909461474,
      0.00747384732556209,
      0.007362374702399855,
      0.0072523039794313545,
      0.007143617559200738,
      0.007036298100579615,
      0.006930328393486837,
      0.006825691450325585,
      0.006722370515595379,
      0.006620348974861951,
      0.0065196105311985785,
      0.00642013899473777,
      0.006321918467412468,
      0.006224933286853346,
      0.006129167850372614,
      0.006034606846436135,
      0.005941235175299018,
      0.005849037813551236
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567647319657386,
      10.339747634461833,
      10.105057588946467,
      9.86626606847149,
      9.62561178875455,
      9.385065335747857,
      9.146312256593779,
      8.910760055828087,
      8.679556473813443,
      8.453575773025904,
      8.23342367558509,
      8.019452138593245,
      7.8117836547281305,
      7.610343205010679,
      7.4148951490771715,
      7.2250794202950095,
      7.040448094597108,
      6.860498943941817,
      6.684704074141637,
      6.512534994374318,
      6.3434842276595695,
      6.17708239317641,
      6.012908775331157,
      5.850606085189004,
      5.689890539223013,
      5.530550157835003,
      5.3724431748589865,
      5.215500342597519,
      5.059725530656092,
      4.905199435184978,
      4.752064438243086,
      4.600506363555411,
      4.4507694480336255,
      4.303151761619991,
      4.157993349073271,
      4.015669015824828,
      3.8765893109062524,
      3.7411679529746635,
      3.6097960428286475,
      3.4828316513413973,
      3.360591139106477,
      3.243342533332088,
      3.131302014457195,
      3.024631683190708,
      2.92343831639973,
      2.8277694996119678,
      2.737616070548075,
      2.6529146538302246,
      2.5735488774894386,
      2.4993487427209895,
      2.430086452402269,
      2.365507397948296,
      2.305332802278439,
      2.2492597098241442,
      2.1969564957765217,
      2.1480490870088564,
      2.1021442806723374,
      2.058884161460676,
      2.0179313141978694,
      1.9789625556535533,
      1.9417031947523338,
      1.905939413180695,
      1.8715041109603958,
      1.8382625114104754,
      1.8061020682138633,
      1.7749247872623715,
      1.7446508832972776,
      1.7152156061699662,
      1.6865653274253112,
      1.658653927759024,
      1.6314387610197396,
      1.6048826383843908,
      1.5789534280173134,
      1.5536228221819541,
      1.528865460767018,
      1.5046583030647773,
      1.480980174714928,
      1.4578114380427927,
      1.4351337485838125,
      1.4129298745628047,
      1.391183558474327,
      1.3698795732192528,
      1.349004214460306,
      1.328544489169847,
      1.308487743600556,
      1.2888221104298272,
      1.269536466752608,
      1.2506199062526315,
      1.2320617749287897,
      1.213851721878492,
      1.1959797275567619,
      1.1784361172205062,
      1.1612115647580776,
      1.1442970901547511,
      1.1276842485306193,
      1.1113657130013803,
      1.0953347649979743,
      1.0795848235394352,
      1.0641091947496297,
      1.0489011882409476,
      1.0339541929317593,
      1.0192617257770837,
      1.004817461608295,
      0.9906152513294808,
      0.9766491309198627,
      0.962913325299125,
      0.94940263426669,
      0.9361129979244008,
      0.9230402920085338,
      0.9101801778467746,
      0.8975282203167627,
      0.885079966275728,
      0.8728309969145454,
      0.8607769610321402,
      0.8489135968506238,
      0.8372367444206197,
      0.8257423529868815,
      0.8144273368726023,
      0.8032893947510796,
      0.792325839211436,
      0.7815337162724605,
      0.7709099251360247,
      0.7604512984485777,
      0.750154655235449,
      0.7400168351249866,
      0.7300347208070259,
      0.7202052518518112,
      0.710525432913377,
      0.7009923387182293,
      0.6916031158111662,
      0.6823549832854716,
      0.6732447811836779,
      0.6642690664220972,
      0.6554247109578256,
      0.6467088536977659,
      0.6381188346873397,
      0.6296521496771399,
      0.6213064188071207,
      0.6130793636678681,
      0.6049687919075244,
      0.5969725859749424,
      0.5890886943577954,
      0.5813151256378194,
      0.5736499436841507,
      0.5660912639610118,
      0.5586372504192969,
      0.5512861131301457,
      0.5440361060572497,
      0.5368855253544395,
      0.5298327077137273,
      0.5228760286430126,
      0.5160139010610295,
      0.5092447744451631,
      0.5025671333184986,
      0.4959794961496373,
      0.48948041426405725,
      0.48306847082411464,
      0.47674227978014333,
      0.47050048510340614,
      0.4643417595170691,
      0.4582648040268911,
      0.452268346831163,
      0.4463511427588755,
      0.4405119722991408,
      0.43474964088674245,
      0.4290629783956791,
      0.4234508380818662,
      0.4179120960454003,
      0.4124456507066242,
      0.40705042204519054,
      0.4017253512654956,
      0.3964694000013176,
      0.3912815498244791,
      0.3861608017297023,
      0.38110617547004133,
      0.3761167092534124,
      0.3711914592178612,
      0.36632946458385474,
      0.36152955851041,
      0.3567905529020843,
      0.3521113766548455,
      0.34749104334335246,
      0.3429286294258571,
      0.33842325889750235,
      0.3339740928785196,
      0.3295803218749228,
      0.32524116069951575,
      0.32095584489224743,
      0.31672362784025615,
      0.3125437790217127,
      0.3084155823895008,
      0.3043383356288656,
      0.3003113492823686,
      0.296333946021416,
      0.2924054846041875,
      0.2885254796282697,
      0.28469347537734324,
      0.28090896202744603,
      0.27717139585999123,
      0.27348021268267003,
      0.26983494123054097,
      0.26623544241821395,
      0.26268192269905016,
      0.25917459232685075,
      0.2557133851943438,
      0.25229807616339084,
      0.24892846228075322,
      0.24560427206578736,
      0.2423251146029404,
      0.23909052147313864,
      0.23589997489093217,
      0.23275292679152515,
      0.2296488116363606,
      0.22658705521336323,
      0.22356708039349577,
      0.22058830751491126,
      0.21765009568916605,
      0.2147517833479905,
      0.21189274882549874,
      0.20907240008472977,
      0.20629016762457286,
      0.20354549987345233,
      0.20083786001030715,
      0.1981667236157481,
      0.19553157692910278,
      0.19293191604918927,
      0.19036724589219195,
      0.1878370797312151,
      0.18534093880679384,
      0.1828783518421626,
      0.18044885484361867,
      0.17805199095636862,
      0.17568731018548825,
      0.17335436933678622,
      0.1710527318096711,
      0.1687819673678944,
      0.16654165212405173,
      0.16433136846363033,
      0.1621507048073947,
      0.15999925558052522,
      0.15787662122296584,
      0.15578240782186262,
      0.15371622719787298,
      0.15167769684204227,
      0.1496664396710661,
      0.14768208405877362,
      0.14572426363455335,
      0.1437926174151641,
      0.1418867895512655,
      0.14000642916502912,
      0.1381511904441939,
      0.1363207323056681,
      0.13451471870277174,
      0.13273281833087416,
      0.13097470453173643,
      0.12924005528206406,
      0.1275285531260806,
      0.12583988500766882,
      0.12417374227559942,
      0.12252982060661641,
      0.12090781999974184,
      0.11930744456784631,
      0.1177284026477424,
      0.11617040650367355,
      0.11463317249555953,
      0.11311642093554944,
      0.11161987595159938,
      0.11014326559209,
      0.10868632160660334,
      0.10724877944844644,
      0.10583037834065233,
      0.10443086106185025,
      0.10304997387116219,
      0.10168746659127668,
      0.1003430924744914,
      0.09901660816949254,
      0.09770777366762735,
      0.0964163522865627,
      0.09514211055040604,
      0.0938848182082084,
      0.09264424816834246,
      0.09142017641179688,
      0.09021238202459747,
      0.08902064706894873,
      0.08784475656051176,
      0.0866844984748867,
      0.0855396636439462,
      0.08441004589739848,
      0.08329544183664102,
      0.08219565073603827,
      0.08111047447921733,
      0.08003971780999171,
      0.0789831881353969,
      0.07794069536083083,
      0.07691205218885055,
      0.07589707363916261,
      0.0748955773278986,
      0.07390738333614517,
      0.0729323140971055,
      0.07197019456861008,
      0.07102085131776598,
      0.070084097707948,
      0.06915974285732643,
      0.06824760613561429,
      0.06734751457252239,
      0.06645930115242527,
      0.06558280344988444,
      0.06471786290295484,
      0.06386432419933756,
      0.06302203490088361,
      0.06219084511054887,
      0.06137060737159606,
      0.060561176544175616,
      0.05976240928017764,
      0.058974164474963356,
      0.05819630289714774,
      0.05742868728060758,
      0.05667118220089482,
      0.05592365403810272,
      0.0551859709913127,
      0.05445800300705769,
      0.05373962184859224,
      0.053030700990460554,
      0.052331115503456656,
      0.05164074221309067,
      0.050959459450916886,
      0.05028714722194567,
      0.04962368717810093,
      0.048968962524659744,
      0.048322858002643146,
      0.04768525993426204,
      0.04705605602305523,
      0.04643513558552267,
      0.04582238937212334,
      0.045217709556241804,
      0.04462098971562195,
      0.044032124914593206,
      0.043451011601159634,
      0.04287754754440161,
      0.042311631913605686,
      0.041753165210156346,
      0.041202049271340246,
      0.040658187161576036,
      0.04012148324635547,
      0.03959184314729442,
      0.03906916332509364,
      0.03855331476039735,
      0.03804417612112553,
      0.037541637952037486,
      0.0370455993982978,
      0.03655596585296841,
      0.03607264733185709,
      0.03559555732094648,
      0.03512461206025766,
      0.034659729943548497,
      0.03420083119043851,
      0.03374783759207548,
      0.03330067231379111,
      0.03285925977975796,
      0.03242352556868566,
      0.03199339621518835,
      0.03156879941592179,
      0.03114966381386946,
      0.03073591901519744,
      0.03032749547646638,
      0.029924324713114757,
      0.029526339206611654,
      0.02913347295427146,
      0.028745663861365366,
      0.028362850145336155,
      0.027984969640077142,
      0.027611960297176896,
      0.02724376037225816,
      0.02688030853351539,
      0.026521543984310513,
      0.026167406562397213,
      0.02581783689888879,
      0.0254727761922057,
      0.02513216639800166,
      0.024795950078076865,
      0.024464070646419547,
      0.024136472083990904,
      0.02381309920309126,
      0.023493897545495652,
      0.023178813258406015,
      0.022867793189009007,
      0.022560784924179744,
      0.02225773672534717,
      0.02195859748490904,
      0.02166331672319127,
      0.021371844677021436,
      0.02108413221433664,
      0.020800130743797107,
      0.020519792381961936,
      0.02024306986437098,
      0.019969916551331252,
      0.01970028396254462,
      0.01943411022594051,
      0.01917133213123406,
      0.018911893239086954,
      0.018655741954742594,
      0.01840283028898805,
      0.01815311284345608,
      0.0179065461048878,
      0.017663088153626046,
      0.017422698372209684,
      0.01718533704436843,
      0.016950965275900922,
      0.016719544950141545,
      0.01649103850871364,
      0.01626540899512441,
      0.01604261993514893,
      0.015822635505730268,
      0.015605420254464965,
      0.015390939272229514,
      0.015179158107402991,
      0.014970042719583099,
      0.014763559594373808,
      0.014559675567297398,
      0.014358357890987937,
      0.014159574183072269,
      0.013963292560090457,
      0.01376948148044134,
      0.01357810987527909,
      0.013389147064718119,
      0.013202562752047613,
      0.013018327000276612,
      0.012836410292942461,
      0.012656783348182191,
      0.01247941732210591,
      0.012304283746334597,
      0.012131354556540123,
      0.011960602032888417,
      0.01179199872965468,
      0.011625517590340296,
      0.011461131847603308,
      0.01129881515378537,
      0.011138541407462234,
      0.010980284988364498,
      0.01082402049117955,
      0.010669722861403774,
      0.010517367297052847,
      0.010366929303992545,
      0.010218384778006807,
      0.010071709967300096,
      0.009926881283984543,
      0.009783875465955603,
      0.00964266955567162,
      0.009503240911652052,
      0.0093655671643831,
      0.009229626287422191,
      0.009095396491917714,
      0.008962856160175595,
      0.008831983983438232,
      0.008702759011941903,
      0.008575160534416894,
      0.008449168054154042,
      0.008324761284879611,
      0.008201920306467148,
      0.008080625474059348,
      0.007960857309135514,
      0.007842596575792967,
      0.007725824217970185,
      0.0076105215900532965,
      0.00749667020529039,
      0.007384251778074967,
      0.007273248221990989,
      0.0071636417887566365,
      0.007055414896854808,
      0.006948550151531485,
      0.00684303048009415,
      0.006738838918541399,
      0.006635958774044549,
      0.0065343734893920265,
      0.006434066730766149,
      0.006335022463486937,
      0.006237224800070662,
      0.006140658026918071,
      0.006045306682613683,
      0.00595115535720591,
      0.005858188975295449,
      0.00576639265405412
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567638732370659,
      10.339719792439155,
      10.105003136725722,
      9.866180462513697,
      9.625492227143576,
      9.384910419382843,
      9.146121942147632,
      8.910534910282976,
      8.679297090197162,
      8.453282849549714,
      8.233098075267518,
      8.0190946804351,
      7.811395031749006,
      7.609923904599642,
      7.414445406796986,
      7.22459930006103,
      7.039937514002575,
      6.859957740135313,
      6.68413207595592,
      6.511932023132577,
      6.34285016210607,
      6.176417235899592,
      6.012212842283212,
      5.849880082281983,
      5.689135446336498,
      5.52976729639359,
      5.371634238223183,
      5.2146674691526576,
      5.058871288509617,
      4.904326797844857,
      4.75117678592828,
      4.5996076277889335,
      4.449863868799588,
      4.302243823807815,
      4.15708770399482,
      4.014770738711002,
      3.875703899270621,
      3.7403006095095743,
      3.6089515850037692,
      3.482014434252211,
      3.359804991018311,
      3.2425907011880617,
      3.1305871208031517,
      3.0239557405155746,
      2.92280262319137,
      2.8271745692752797,
      2.737061822035554,
      2.6524001697190314,
      2.5730722668081727,
      2.498907437481818,
      2.429677213356149,
      2.365126864728643,
      2.3049774660869145,
      2.248925833679093,
      2.1966400502232766,
      2.147745618575733,
      2.101849692282032,
      2.0585949752353376,
      2.017644171350298,
      1.9786746254371113,
      1.9414123452058283,
      1.90564408639186,
      1.8712031767541173,
      1.8379551606852307,
      1.8057876468836571,
      1.7746028307912232,
      1.7443211156538123,
      1.7148778868344734,
      1.6862196123446385,
      1.6583002576122619,
      1.6310772490723118,
      1.604513417537932,
      1.5785766436537936,
      1.5532386277841908,
      1.5284740140805262,
      1.504259763004623,
      1.480574699575097,
      1.4573991845470382,
      1.4347148715197817,
      1.412504525519981,
      1.3907518860214563,
      1.3694417323489618,
      1.3485603712187701,
      1.3280947986468683,
      1.3080323519797734,
      1.2883611941151625,
      1.269070200461481,
      1.2501484459655001,
      1.2315852629909378,
      1.2133702900411705,
      1.1954934994815327,
      1.1779452106995323,
      1.16071609293738,
      1.1437971617593208,
      1.1271799834154768,
      1.1108572554112193,
      1.0948222541028945,
      1.0790683837791162,
      1.0635889402162197,
      1.0483772249246337,
      1.033426620559834,
      1.018730639095351,
      1.004282951866982,
      0.9900774066529765,
      0.9761080370345621,
      0.9623690658561616,
      0.9488554577855645,
      0.9355631687096851,
      0.9224880128981255,
      0.9096256086716499,
      0.8969714907309694,
      0.8845211855737908,
      0.8722702596845684,
      0.8602143515041241,
      0.8483491919485627,
      0.8366706156766633,
      0.8251745810033282,
      0.8138582785237671,
      0.8027194812053621,
      0.7917553845440726,
      0.7809629438877826,
      0.7703389971015459,
      0.7598803350254295,
      0.7495837484426964,
      0.7394460578460386,
      0.7294641327089312,
      0.719634903479243,
      0.7099553685543706,
      0.7004225983024401,
      0.6910337364319293,
      0.6817859999932488,
      0.6726762587514258,
      0.6637010715838823,
      0.6548572984693533,
      0.6461420697236641,
      0.6375527194431954,
      0.6290867392062818,
      0.620741746228412,
      0.6125154601535918,
      0.6044056872407979,
      0.5964103084853541,
      0.5885272716089953,
      0.580754584495753,
      0.5730903104272387,
      0.5655325641278197,
      0.5580795089528522,
      0.5507293546163906,
      0.5434803547775804,
      0.5363308052559662,
      0.5292790420412664,
      0.5223234404034558,
      0.5154624129212657,
      0.5086944087255155,
      0.5020179117761012,
      0.4954314400602773,
      0.48893354457388727,
      0.4825228080660133,
      0.476197844111304,
      0.4699572962096312,
      0.4637998368165598,
      0.45772416648642106,
      0.4517290130820601,
      0.44581313100379344,
      0.43997530041716504,
      0.4342143263800696,
      0.42852903815301074,
      0.42291828859393404,
      0.41738095351320453,
      0.41191593104336865,
      0.406522140899072,
      0.4011985237578324,
      0.39594404079034207,
      0.3907576732911055,
      0.38563842185360453,
      0.38058530587936873,
      0.37559736314274267,
      0.3706736495161026,
      0.3658131894945697,
      0.36101479529716757,
      0.35627729026037985,
      0.3515996108041768,
      0.34698077572565766,
      0.3424198648139035,
      0.33791600451822246,
      0.33346835726247126,
      0.3290761145099522,
      0.32473849160888235,
      0.320454724314379,
      0.31622406605968023,
      0.31204578622336265,
      0.30791916872688335,
      0.30384351103536444,
      0.299818123521916,
      0.29584232846912073,
      0.2919155021435387,
      0.2880371844835016,
      0.28420690522069925,
      0.28042414456997955,
      0.2766883517192898,
      0.272998957445997,
      0.26935552347317293,
      0.2657579928987041,
      0.2622066701403315,
      0.25870168972220536,
      0.25524293405450826,
      0.25183021332814004,
      0.24846333413600244,
      0.2451419724015936,
      0.24186570163405768,
      0.23863402929800032,
      0.23544642125797027,
      0.23230231834689963,
      0.229201147588969,
      0.22614232968469686,
      0.22312528403459272,
      0.22014942254691142,
      0.21721409399341687,
      0.21431864088355684,
      0.21146244415343665,
      0.20864491362821894,
      0.20586548107433003,
      0.20312359567296653,
      0.20041872118610837,
      0.19775033348146664,
      0.19511791914569232,
      0.192520974430524,
      0.18995900438847826,
      0.18743152239902972,
      0.18493804974031627,
      0.18247811514162932,
      0.18005125467186747,
      0.17765701144205362,
      0.17529493552864867,
      0.17296458368485496,
      0.17066551932961965,
      0.1683973122921766,
      0.16615953867494443,
      0.1639517808468455,
      0.16177362728124048,
      0.15962467239081035,
      0.157504516549968,
      0.15541276606976484,
      0.15334903271188924,
      0.15131293389188835,
      0.1493040925670555,
      0.14732213713386977,
      0.14536670129591445,
      0.14343742399179737,
      0.1415339493380061,
      0.13965592656149428,
      0.1378030097750943,
      0.1359748581941359,
      0.13417113575737283,
      0.13239151111813596,
      0.13063565765633767,
      0.12890325336472486,
      0.12719398080049438,
      0.12550752690421443,
      0.12384358302363425,
      0.12220184490653642,
      0.12058201261204939,
      0.11898379030215703,
      0.11740688627536074,
      0.1158510129050629,
      0.11431588651516979,
      0.11280122743993794,
      0.11130676002713176,
      0.1098322123360904,
      0.10837731616626613,
      0.10694180705353523,
      0.10552542418342983,
      0.10412791038655576,
      0.10274901195525486,
      0.10138847878398305,
      0.1000460641843042,
      0.09872152492802613,
      0.09741462097764926,
      0.09612511565393243,
      0.0948527755987148,
      0.09359737047551135,
      0.09235867336767893,
      0.09113646031711105,
      0.08993051044548704,
      0.08874060588919166,
      0.08756653171306836,
      0.08640807600603848,
      0.08526502966942844,
      0.08413718647292652,
      0.0830243430792566,
      0.08192629885006679,
      0.08084285586202428,
      0.0797738188275688,
      0.078718995145866,
      0.0776781948998975,
      0.07665123071684786,
      0.07563791787632615,
      0.07463807399540591,
      0.07365151913587965,
      0.07267807592040972,
      0.07171756930767588,
      0.07076982667867898,
      0.0698346777472911,
      0.06891194205902411,
      0.0680014311754594,
      0.06710296563646544,
      0.06621637399096798,
      0.06534149081044575,
      0.06447815556895525,
      0.06362621163037205,
      0.0627855057054854,
      0.061955887267553106,
      0.06113720843310477,
      0.06032932369021444,
      0.05953208981746038,
      0.058745365515282484,
      0.05796901156316145,
      0.057202890640929184,
      0.05644686748498521,
      0.05570080851466397,
      0.054964582050144525,
      0.05423805809847284,
      0.05352110843246581,
      0.052813606551874226,
      0.0521154276705047,
      0.05142644859816967,
      0.050746547845115855,
      0.05007560548791392,
      0.04941350319730336,
      0.04876012427811865,
      0.04811535359164131,
      0.04747907749656404,
      0.04685118386226719,
      0.04623156202767094,
      0.04562010287985993,
      0.04501669865264419,
      0.04442124299404829,
      0.04383363103618592,
      0.043253759276532355,
      0.04268152561741684,
      0.042116829302579775,
      0.041559570941359314,
      0.041009652430321404,
      0.04046697681912247,
      0.03993144860730658,
      0.039402973604103275,
      0.03888145877144363,
      0.03836679538445595,
      0.037858855633852065,
      0.037357522331965605,
      0.03686268926232581,
      0.03637425815422779,
      0.03589213649935365,
      0.035416236090400344,
      0.03494647205670701,
      0.03448276205919832,
      0.03402502573683193,
      0.03357318463147547,
      0.03312716167159055,
      0.03268688107799881,
      0.03225226839557492,
      0.0318232503423447,
      0.03139975458684343,
      0.03098170981215969,
      0.03056904565021682,
      0.030161692769604467,
      0.02975958266160833,
      0.029362647802029723,
      0.028970822327920955,
      0.02858404409634066,
      0.02820225136202426,
      0.027825382123066986,
      0.02745337440942332,
      0.02708616657826059,
      0.026723697387475046,
      0.026365906093249708,
      0.026012732714968307,
      0.02566411785124911,
      0.02532000279114218,
      0.024980329589577965,
      0.02464504092975079,
      0.02431408022927722,
      0.02398739168615081,
      0.02366492014918155,
      0.023346611162918664,
      0.023032410964347997,
      0.022722266399510933,
      0.022416125230779918,
      0.02211393567128149,
      0.02181564673559507,
      0.021521208014546073,
      0.021230569859537158,
      0.020943683191037808,
      0.02066049952441531,
      0.020380971015116295,
      0.020105050482893915,
      0.01983269141772108,
      0.019563847765769183,
      0.019298474124256133,
      0.019036524349169286,
      0.018777939594581433,
      0.018522657711749917,
      0.01827062324573968,
      0.01802178565257189,
      0.017776097994731316,
      0.01753351594290499,
      0.017293997112670618,
      0.017057500592936058,
      0.016823986811256315,
      0.01659341706050319,
      0.0163657534807697,
      0.01614095896827484,
      0.015918996953487443,
      0.015699831524941078,
      0.015483427218410282,
      0.015269749145139375,
      0.015058762899495804,
      0.01485043446221612,
      0.014644730340582973,
      0.014441617462545502,
      0.014241063154958326,
      0.014043035117436872,
      0.013847501492805272,
      0.013654430875721314,
      0.013463792195776406,
      0.01327555493935922,
      0.013089688756206976,
      0.012906163798578023,
      0.0127249505657478,
      0.012546019922081951,
      0.012369343122621832,
      0.012194891719388678,
      0.012022637729697748,
      0.011852553437347892,
      0.011684611468275981,
      0.011518784899504508,
      0.011355047083573636,
      0.011193371677489843,
      0.011033732736694696,
      0.010876104600378907,
      0.010720461975507856,
      0.01056677976739678,
      0.010415033305842475,
      0.010265198235485828,
      0.010117250432899788,
      0.009971166211014407,
      0.009826922035369038,
      0.009684494711603263,
      0.009543861389912117,
      0.00940499944978495,
      0.00926788654497518,
      0.009132500693922825,
      0.00899882004707473,
      0.008866823176633376,
      0.008736488903230671,
      0.00860779622556294,
      0.008480724594241703,
      0.008355253557617518,
      0.00823136287869863,
      0.008109032729414795,
      0.007988243396223081,
      0.00786897540013032,
      0.007751209617408177,
      0.007634927159977431,
      0.007520109301368831,
      0.007406737625847438,
      0.0072947939559654205,
      0.007184260268672913,
      0.007075118821713336,
      0.00696735208402733,
      0.006860942730534126,
      0.006755873599565396,
      0.0066521278481385246,
      0.006549688790420194,
      0.006448539991358553,
      0.0063486651829428,
      0.006250048327672562,
      0.006152673600109013,
      0.006056525407531657,
      0.005961588207710284,
      0.005867846759793386,
      0.005775286077041022,
      0.005683891285251821
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.5676301483386,
      10.339691957226062,
      10.10494870166659,
      9.866094885003893,
      9.625372701319844,
      9.384755542775302,
      9.145931671139005,
      8.91030980875384,
      8.679037748332297,
      8.452989958496255,
      8.232772492146534,
      8.018737221951842,
      7.811006388494108,
      7.609504564205024,
      7.413995605568018,
      7.2241191016316,
      7.0394268359463945,
      6.859416408375368,
      6.6835599095424705,
      6.511328846863152,
      6.342215857617137,
      6.17575180913001,
      6.0115166113774485,
      5.849153755237417,
      5.688380006262922,
      5.528984066878445,
      5.370824914647198,
      5.213834191664146,
      5.058016626380587,
      4.903453725494376,
      4.75028868429732,
      4.598708428161191,
      4.448957810133214,
      4.301335390817785,
      4.156181552134955,
      4.013871944442138,
      3.874817953864295,
      3.7394327090997344,
      3.608106542695711,
      3.4811966003139148,
      3.3590181892449307,
      3.241838175552509,
      3.129871490275747,
      3.0232790145569983,
      2.9221660989626157,
      2.8265787597145273,
      2.7365066457931673,
      2.651884546532499,
      2.5725941767791203,
      2.49846435638035,
      2.429265946831963,
      2.364744095196613,
      2.3046197255109346,
      2.2485894232756114,
      2.1963209772588432,
      2.147439464286686,
      2.1015523902842976,
      2.058303072179368,
      2.017354329655438,
      1.9783840313272498,
      1.9411188791096863,
      1.905346199348399,
      1.8708997440826776,
      1.8376453770906065,
      1.805470859729436,
      1.7742785760021513,
      1.7439891169968802,
      1.7145380024387016,
      1.6858717963388088,
      1.6579445493776102,
      1.6307137604553554,
      1.6041422797667981,
      1.5781980008616538,
      1.5528526316297264,
      1.5280808202312628,
      1.5038595290764325,
      1.4801675831527414,
      1.4569853413334346,
      1.4342944548307708,
      1.41207768600144,
      1.3903187709227462,
      1.3690024951823694,
      1.3481151763994506,
      1.3276438000013884,
      1.307575694601916,
      1.2878990527381982,
      1.2686027478643322,
      1.2496758366920862,
      1.2311076382043507,
      1.2128877810291019,
      1.1950062297605082,
      1.1774532969703664,
      1.1602196468735715,
      1.143296290948189,
      1.126674806863365,
      1.1103479171125894,
      1.0943088932251144,
      1.0785511248086646,
      1.0630678964312759,
      1.0478525012546787,
      1.0328983159871514,
      1.0181988481937265,
      1.0037477652742641,
      0.9895389120540745,
      0.9755663195869031,
      0.9618242083116056,
      0.9483077083003651,
      0.935012791306502,
      0.9219352094543076,
      0.9090705384486598,
      0.8964142836130362,
      0.8839619502100245,
      0.8717090901099002,
      0.859651331641459,
      0.8477843982046556,
      0.8361041190097207,
      0.8246065823371631,
      0.8132891656666033,
      0.8021495963900998,
      0.7911850187792078,
      0.7803923046523211,
      0.769768235759993,
      0.7593095648045021,
      0.7490130562478692,
      0.7388755128466256,
      0.7288937921710491,
      0.7190648163963675,
      0.7093855783051584,
      0.6998531442166888,
      0.690464654929118,
      0.6812173253745536,
      0.6721080552943628,
      0.6631334057284093,
      0.6542902244710859,
      0.645575633472365,
      0.6369869609002397,
      0.6285216944865423,
      0.6201774483650524,
      0.6119519400756738,
      0.6038429742790575,
      0.5958484310190125,
      0.5879662570411905,
      0.5801944594736439,
      0.572531100901001,
      0.5649742956041086,
      0.5575222066647241,
      0.5501730432282104,
      0.5429250583873588,
      0.535776547542218,
      0.5287258463783618,
      0.5217713296390066,
      0.514911409502413,
      0.5081445345643186,
      0.5014691886424617,
      0.49488388925659266,
      0.48838718688279603,
      0.4819776639717895,
      0.4756539336844788,
      0.4694146390364064,
      0.46325845212545164,
      0.4571840732186567,
      0.45119022980336876,
      0.44527567578577876,
      0.43943919089054384,
      0.43367957983315714,
      0.4279956715488819,
      0.42238631848039687,
      0.4168503960552141,
      0.41138680192278193,
      0.40599445553976554,
      0.4006722972412812,
      0.3954192877660299,
      0.3902344079590614,
      0.3851166580941135,
      0.38006505722551304,
      0.37507864277454483,
      0.37015647014783565,
      0.3652975492708319,
      0.36050067173054373,
      0.3557646721202724,
      0.35108849433656414,
      0.3464711621476078,
      0.34191175895561265,
      0.3374094134246154,
      0.33296328946193976,
      0.3285725794257768,
      0.3242364991881316,
      0.319954284630769,
      0.31572518933470745,
      0.3115484824893015,
      0.30742344791983267,
      0.30334938298380343,
      0.29932559779301854,
      0.29535141444114316,
      0.2914262393756503,
      0.2875496209272827,
      0.2837210756941816,
      0.27994007454478037,
      0.27620606031956985,
      0.27251845937900876,
      0.2688768668153805,
      0.2652813674579566,
      0.26173228367008844,
      0.25822968128921603,
      0.25477342143171167,
      0.2513633586426357,
      0.24799925928864383,
      0.24468075477029935,
      0.241407388468815,
      0.23817864731921856,
      0.23499398318643247,
      0.23185282745799915,
      0.22875460058845123,
      0.22569871894745416,
      0.2226845990237439,
      0.2197116445571077,
      0.2167791945425151,
      0.21388659558124223,
      0.21103323138982527,
      0.20821851356553855,
      0.20544187519114693,
      0.2027027664521224,
      0.20000065163968603,
      0.19733500703250345,
      0.19470531953600947,
      0.19211108545023753,
      0.18955180996092597,
      0.187027006525087,
      0.18453619658198203,
      0.1820789088378319,
      0.1796546794077283,
      0.1772630514665241,
      0.1749035750568781,
      0.17257580692683067,
      0.1702793104859993,
      0.1680136556001934,
      0.1657784184026848,
      0.16357318126153414,
      0.16139753262938114,
      0.1592510670429137,
      0.15713338479518568,
      0.15504409203660546,
      0.15298280065050238,
      0.1509491280678723,
      0.14894269731388673,
      0.1469631368603243,
      0.14501008041056856,
      0.1430831669605861,
      0.1411820405950942,
      0.1393063505912272,
      0.1374557510919322,
      0.135629901188476,
      0.13382846486479222,
      0.13205111097593905,
      0.13029751284663832,
      0.12856734847516896,
      0.12686030040154833,
      0.12517605565356807,
      0.12351430573220751,
      0.12187474629926083,
      0.12025707741901277,
      0.11866100330469741,
      0.11708623232649405,
      0.11553247694353945,
      0.11399945357328489,
      0.1124868826385759,
      0.11099448834822787,
      0.10952199880779456,
      0.10806914585076231,
      0.10663566510461504,
      0.10522129582150715,
      0.10382578084191323,
      0.10244886654476974,
      0.10109030277136796,
      0.09974984288186453,
      0.0984272437412334,
      0.09712226544955174,
      0.09583467139557118,
      0.09456422815594444,
      0.0933107056470416,
      0.09207387681782776,
      0.09085351780492622,
      0.08964940776123655,
      0.08846132891193999,
      0.08728906642374153,
      0.08613240844352406,
      0.08499114586122977,
      0.08386507263927116,
      0.08275398539235197,
      0.08165768348594715,
      0.080575969125221,
      0.07950864717424551,
      0.0784555251250174,
      0.077416413075448,
      0.07639112367573149,
      0.07537947219832977,
      0.07438127639781252,
      0.07339635644996917,
      0.07242453501732384,
      0.0714656370626198,
      0.07051948999226494,
      0.06958592359538618,
      0.06866476990596498,
      0.06775585559830873,
      0.0668589952419674,
      0.06597401029021875,
      0.0651007305359501,
      0.0642389921615797,
      0.06338863633835254,
      0.06254950826451976,
      0.061721456543057295,
      0.060904332623306495,
      0.060097990542697426,
      0.0593022867926789,
      0.05851707998729001,
      0.057742230892672795,
      0.056977602245138786,
      0.0562230585829564,
      0.055478466419165096,
      0.054743694039917835,
      0.05401861150335807,
      0.053303090724963795,
      0.05259700527715443,
      0.05190023044014655,
      0.051212643119218464,
      0.05053412186356624,
      0.04986454682142097,
      0.04920379981567447,
      0.048551764253979675,
      0.04790832504534927,
      0.04727336851871371,
      0.04664678271935758,
      0.046028457094560826,
      0.04541828260477554,
      0.04481615149681385,
      0.04422195761002525,
      0.043635596100059626,
      0.04305696354298818,
      0.04248595795586446,
      0.04192247862867425,
      0.04136642629213754,
      0.040817702823203045,
      0.04027621141316872,
      0.03974185666759825,
      0.039214544412641904,
      0.038694181738305335,
      0.03818067688118974,
      0.03767391665568319,
      0.03717377443496665,
      0.03668013693027147,
      0.03619290091862036,
      0.0357119706711326,
      0.035237255734946696,
      0.03476866961970876,
      0.034306128941721546,
      0.03384955275173669,
      0.033398862126793924,
      0.032953979728360686,
      0.03251482960527056,
      0.03208133726308971,
      0.03165342926791745,
      0.031231033306249097,
      0.030814078131471166,
      0.03040249348255758,
      0.029996209952599356,
      0.029595159178870522,
      0.029199273626263535,
      0.028808487541026412,
      0.028422738879385335,
      0.028041965909196432,
      0.027666106714765066,
      0.027295099447721505,
      0.02692888254291679,
      0.02656739489437915,
      0.026210575813205066,
      0.025858365343672064,
      0.025510704168531993,
      0.02516753366305663,
      0.02482879586925623,
      0.02449443363142125,
      0.024164390448854746,
      0.02383861053462592,
      0.023517038794168155,
      0.02319962093423935,
      0.02288630328186044,
      0.022577032803350168,
      0.02227175720190094,
      0.021970424839893248,
      0.021672984778553898,
      0.02137938668640624,
      0.02108958094910532,
      0.020803518538748202,
      0.020521151122247384,
      0.020242431027966135,
      0.019967311084220448,
      0.019695744682654382,
      0.019427685945404515,
      0.019163089532676054,
      0.01890191072579633,
      0.018644105468257507,
      0.018389630129412613,
      0.018138429816205923,
      0.017890443059542765,
      0.01764561512267764,
      0.017403896246188356,
      0.01716524030166676,
      0.01692960388607606,
      0.01669694559180557,
      0.016467225539077632,
      0.016240405079687832,
      0.016016446518409343,
      0.01579531293972215,
      0.015576968158431456,
      0.015361376679721768,
      0.015148503559880962,
      0.014938314358275907,
      0.014730775123345577,
      0.014525852278460209,
      0.014323512757351524,
      0.014123723938075488,
      0.013926453686855193,
      0.01373167023847496,
      0.013539342179735474,
      0.013349438517054151,
      0.013161928631292027,
      0.012976782386681767,
      0.012793970018887657,
      0.012613462081883527,
      0.01243522959346621,
      0.0122592438512945,
      0.012085476434930607,
      0.011913899361539108,
      0.011744485071470342,
      0.011577206307400006,
      0.011412036121952454,
      0.011248947950136671,
      0.011087915606770062,
      0.010928913107458495,
      0.010771914884798992,
      0.01061689564255961,
      0.010463830415696224,
      0.010312694544542922,
      0.010163463703733853,
      0.010016113946820508,
      0.009870621605779981,
      0.009726963185522679,
      0.009585115647022949,
      0.009445056094233904,
      0.009306761989596407,
      0.009170211090984308,
      0.00903538140261285,
      0.008902251222325583,
      0.008770799126445716,
      0.008641003936543722,
      0.00851284476985328,
      0.008386301097356089,
      0.008261352472345202,
      0.008137978831916332,
      0.008016160201783473,
      0.007895877025203307,
      0.007777109977895795,
      0.00765983998783446,
      0.0075440482365548905,
      0.007429716104361904,
      0.007316825129266819,
      0.007205357093279103,
      0.007095294122869743,
      0.00698661844702847,
      0.006879312537377439,
      0.006773359153804572,
      0.0066687413214725,
      0.0065654421942025224,
      0.006463445109126854,
      0.006362733693072141,
      0.006263291772922307,
      0.0061651033438346724,
      0.0060681525319079225,
      0.005972423760976258,
      0.005877901653097673,
      0.005784570987485518,
      0.00569241669781228,
      0.005601423965854771
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567621572240062,
      10.339664149971037,
      10.104894329525502,
      9.866009412097753,
      9.625253317759023,
      9.384600842619276,
      9.145741607511406,
      8.910084943597266,
      8.678778669456024,
      8.452697335795893,
      8.232447165436374,
      8.018380009111144,
      7.8106179820802275,
      7.60908545401923,
      7.4135460308481775,
      7.223639128623731,
      7.038916384534826,
      6.858875305498523,
      6.682987974762128,
      6.510725906485824,
      6.341581795971591,
      6.1750866353569664,
      6.010820644593084,
      5.848427703676639,
      5.687624853462019,
      5.528201138256648,
      5.370015907327013,
      5.213001246138909,
      5.057162311471541,
      4.902581014344964,
      4.749400955754704,
      4.597809611153693,
      4.448052141708033,
      4.300427351780281,
      4.155275802419088,
      4.012973562400117,
      3.873932421877966,
      3.73856521368265,
      3.607261886728141,
      3.480379124719511,
      3.358231708728897,
      3.2410859298296564,
      3.129156095118247,
      3.022602472891452,
      2.921529701991198,
      2.825983015885156,
      2.735951471810865,
      2.6513688342868704,
      2.5721158844939604,
      2.4980209704839362,
      2.4288542846020813,
      2.364360851558388,
      2.3042614450447836,
      2.2482524200898277,
      2.1960012713878716,
      2.147132649866525,
      2.1012544124668318,
      2.058010488166923,
      2.0170638114170085,
      1.9780927731061244,
      1.9408247671738033,
      1.905047689407131,
      1.8705957155906374,
      1.8373350276922624,
      1.8051535384345703,
      1.7739538195519087,
      1.7436566493046188,
      1.714197682084174,
      1.6855235779084612,
      1.6575884718608587,
      1.6303499348726664,
      1.6037708366538146,
      1.5778190833937193,
      1.5524663909111096,
      1.5276874117348378,
      1.5034591092675627,
      1.4797603084826265,
      1.4565713669030274,
      1.4338739333826331,
      1.411650767438585,
      1.3898856015363592,
      1.3685632281294828,
      1.3476699760933184,
      1.3271928192511562,
      1.3071190959019758,
      1.2874370192488427,
      1.2681354425225773,
      1.2492034072919078,
      1.2306302210278772,
      1.212405503231257,
      1.1945192117262646,
      1.1769616541849994,
      1.1597234899820814,
      1.1427957266472117,
      1.126169956510453,
      1.1098389229237178,
      1.0937958923775029,
      1.0780342401453713,
      1.0625472403898508,
      1.047328178828538,
      1.0323704259080637,
      1.0176674845220242,
      1.0032130186350419,
      0.9890008700107608,
      0.9750250670166518,
      0.9612798278330517,
      0.9477604478298954,
      0.934462914979051,
      0.9213829195121516,
      0.9085159939585982,
      0.8958576138077422,
      0.8834032635957968,
      0.8711484806812452,
      0.8590888830790011,
      0.8472201867757795,
      0.8355382157892964,
      0.8240391878085084,
      0.8127206671489325,
      0.8015802958895359,
      0.7906152085994348,
      0.7798222054637076,
      0.7691980072164372,
      0.7587393255783667,
      0.7484428971581257,
      0.7383055059129873,
      0.7283239962006669,
      0.7184952814072744,
      0.7088163481110858,
      0.6992842584772164,
      0.6898961502136194,
      0.6806492361324531,
      0.6715404457464444,
      0.6625663421550225,
      0.6537237608137271,
      0.6450098152534299,
      0.6364218279901447,
      0.6279572826759509,
      0.6196137906888638,
      0.611389067535725,
      0.6032809164520182,
      0.5952872161186505,
      0.5874059123512536,
      0.5796350114660503,
      0.5719725754715089,
      0.5644167183006717,
      0.5569656023989132,
      0.5496174363606646,
      0.5423704729071274,
      0.5352230068321291,
      0.5281733734811654,
      0.521219947262285,
      0.5143611399921211,
      0.5075953998460917,
      0.5009212101556992,
      0.49433708816236543,
      0.4878415839857905,
      0.481433279661322,
      0.47511078802219836,
      0.4688727517110183,
      0.4627178423760537,
      0.45664475977737756,
      0.4506522310358513,
      0.4447390096729356,
      0.4389038748778575,
      0.4331456310809632,
      0.427463106872338,
      0.42185515433552634,
      0.41632064841751815,
      0.4108584864408792,
      0.4054675873531632,
      0.4001468912251319,
      0.39489535867014613,
      0.38971197011005165,
      0.3845957252712191,
      0.37954564286184106,
      0.3745607598992605,
      0.3696401313239803,
      0.36478274737420224,
      0.35998738598438706,
      0.3552528923523377,
      0.35057821761097596,
      0.34596239051658934,
      0.34140449757006935,
      0.33690366954383405,
      0.3324590716337768,
      0.32806989707624884,
      0.3237353621990928,
      0.3194547030823995,
      0.3152271733862474,
      0.3110520423472743,
      0.30692859358784175,
      0.30285612423874325,
      0.2988339441199147,
      0.29486137506691934,
      0.29093785758364615,
      0.2870629431568992,
      0.2832361357122552,
      0.2794568973674029,
      0.2757246645985952,
      0.2720388593687931,
      0.26839912670014676,
      0.2648056984610014,
      0.26125888014014936,
      0.25775867307217226,
      0.2543049641094088,
      0.2508976123639507,
      0.24753632723913765,
      0.24422070151420028,
      0.2409502523747195,
      0.2377244489418073,
      0.23454273112384857,
      0.23140452226704875,
      0.22830923738271486,
      0.22525628895550484,
      0.22224509090200992,
      0.2192750391679294,
      0.2163454628859752,
      0.21345571292902202,
      0.21060517598472134,
      0.20779326558704794,
      0.20501941614699376,
      0.2022830786623793,
      0.1995837180152612,
      0.19692081096936623,
      0.1942938447333177,
      0.19170231580514313,
      0.1891457294120115,
      0.18662359914928922,
      0.18413544639799778,
      0.1816808000796488,
      0.17925919621228156,
      0.17687017800554666,
      0.17451329554059228,
      0.17218810560700176,
      0.1698941715690181,
      0.16763106322936638,
      0.16539835679206794,
      0.16319563470820497,
      0.1610224853790397,
      0.15887850330101067,
      0.15676328883242682,
      0.15467644817332007,
      0.15261759317664744,
      0.15058634144237018,
      0.14858231595688642,
      0.1466051451609045,
      0.1446544627147457,
      0.14272990762208476,
      0.1408311241273496,
      0.13895776141868543,
      0.1371094737906321,
      0.13528592037654716,
      0.13348676506740173,
      0.1317116766163282,
      0.12996032849742775,
      0.12823239875331455,
      0.12652756998416792,
      0.12484552928707748,
      0.12318596812041711,
      0.1215485822520389,
      0.11993307172068016,
      0.11833914081120614,
      0.11676649794163739,
      0.11521485554422549,
      0.11368393005506276,
      0.1121734418020067,
      0.1106831152106764,
      0.10921267848332974,
      0.10776186344282783,
      0.1063304058211277,
      0.1049180448608997,
      0.1035245234889196,
      0.10214958819625554,
      0.10079298889246008,
      0.09945447900033907,
      0.09813381527633286,
      0.0968307578838834,
      0.09554507033880913,
      0.0942765193451597,
      0.09302487467383959,
      0.09178990941465748,
      0.09057139972423173,
      0.08936912483316013,
      0.08818286704454519,
      0.08701241163526331,
      0.08585754667853046,
      0.08471806329012352,
      0.08359375536340108,
      0.08248441966727432,
      0.08138985567472731,
      0.08030986559163728,
      0.07924425428727999,
      0.07819282937761976,
      0.07715540092374822,
      0.07613178173124634,
      0.07512178706409732,
      0.07412523477828353,
      0.07314194508913874,
      0.0721717407037718,
      0.07121444685421413,
      0.07026989089459576,
      0.06933790266955073,
      0.06841831429022818,
      0.06751096011312874,
      0.06661567301699428,
      0.06573227222856261,
      0.06486057975789195,
      0.06400042652832612,
      0.06315165011214391,
      0.06231409329967652,
      0.061487602933316454,
      0.06067202941224097,
      0.059867226146960266,
      0.05907304913646175,
      0.05828935670797929,
      0.05751600940208018,
      0.05675286985360289,
      0.05599980267383138,
      0.055256674311796795,
      0.05452335319262237,
      0.05379970935434235,
      0.053085614736708836,
      0.05238094301587556,
      0.051685569496505546,
      0.05099937129936336,
      0.05032222692626988,
      0.049654016666651576,
      0.04899462234593158,
      0.048343927474380245,
      0.04770181706202711,
      0.04706817756632929,
      0.046442897093706234,
      0.04582586512362316,
      0.04521697260380153,
      0.044616111955596,
      0.04402317708172707,
      0.04343806330030848,
      0.0428606673350036,
      0.04229088715490756,
      0.04172862208936305,
      0.041173772948063236,
      0.04062624171741852,
      0.04008593180852965,
      0.03955274791305533,
      0.03902659586073707,
      0.0385073827294507,
      0.03799501685833503,
      0.03748940584069051,
      0.036990433539382,
      0.03649797662432067,
      0.03601192520822801,
      0.03553217870750316,
      0.035058643557493684,
      0.03459123112363844,
      0.03412985652533313,
      0.033674437827762624,
      0.033224895448452876,
      0.03278115164290488,
      0.032343130270981964,
      0.031910756655439444,
      0.03148395731555456,
      0.031062659912297747,
      0.03064679308643446,
      0.030236286577495393,
      0.02983107115232578,
      0.029431078474634904,
      0.02903624103190497,
      0.028646493159114213,
      0.028261772732039815,
      0.02788201824291604,
      0.02750716787017108,
      0.027137159726392558,
      0.026771932325468813,
      0.026411424730124193,
      0.026055576319787062,
      0.02570432723401107,
      0.025357618265497713,
      0.025015390870065136,
      0.024677587204637273,
      0.02434415009806726,
      0.024015023100847268,
      0.023690150588525673,
      0.023369477499426167,
      0.023052949615269616,
      0.02274051337422382,
      0.02243211578844383,
      0.022127704618120168,
      0.02182722833249532,
      0.0215306359840274,
      0.02123787739080937,
      0.020948902984409705,
      0.020663663844610023,
      0.020382111654210215,
      0.020104198751383744,
      0.019829878044593244,
      0.019559103127211635,
      0.01929182814022572,
      0.019028007776823376,
      0.018767597353002676,
      0.01851055284234552,
      0.01825683078627455,
      0.018006388161835613,
      0.017759182518320135,
      0.017515164765180134,
      0.017274275611511243,
      0.017036460328448355,
      0.01680166953116149,
      0.01656985764328382,
      0.01634098191686789,
      0.01611500167971066,
      0.015891877921534608,
      0.015671572905655535,
      0.015454049849388534,
      0.015239272773517798,
      0.015027206437500556,
      0.01481781627772823,
      0.014611068239999683,
      0.0144069287924087,
      0.01420536492746442,
      0.014006344064354328,
      0.013809833978536976,
      0.01361580287883745,
      0.013424219486274317,
      0.013235052968668556,
      0.013048272826087148,
      0.012863848892012891,
      0.012681751456856651,
      0.012501951138611087,
      0.012324418926603846,
      0.012149126226766964,
      0.01197604480037997,
      0.011805146742205777,
      0.011636404561957027,
      0.01146979100023033,
      0.01130527920121985,
      0.011142842658390335,
      0.010982455129542023,
      0.010824090788301832,
      0.010667724135438686,
      0.01051332993076903,
      0.010360883291176385,
      0.01021035971380902,
      0.010061734922859104,
      0.009914984965038507,
      0.009770086198256256,
      0.009627015186289585,
      0.009485748886533998,
      0.00934626461680782,
      0.00920853979470689,
      0.009072552294303829,
      0.008938280174717341,
      0.008805701791346264,
      0.008674795710814516,
      0.00854554090041746,
      0.008417916492900869,
      0.008291901984586453,
      0.008167477071992366,
      0.008044621718584093,
      0.007923316076244052,
      0.0078035405471397305,
      0.007685275891283874,
      0.007568503043009071,
      0.007453203195094029,
      0.007339357814027471,
      0.0072269484718478815,
      0.00711595705372073,
      0.007006365699486225,
      0.006898156721038869,
      0.006791312685256536,
      0.006685816428578054,
      0.006581650919505326,
      0.006478799325325287,
      0.006377245111458819,
      0.006276971912978917,
      0.0061779635530908,
      0.0060802040813837405,
      0.005983677717564044,
      0.005888368853142293,
      0.005794262238221262,
      0.005701342730826033,
      0.005609595307482237,
      0.005519005156916858
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567613005295533,
      10.339636371230176,
      10.104840014240523,
      9.865924025848642,
      9.625134046489892,
      9.384446276409829,
      9.145551696540718,
      8.909860246018972,
      8.678519768089055,
      8.45240489646572,
      8.232122024376666,
      8.018022982199701,
      7.810229759787154,
      7.608666516506915,
      7.41309661590967,
      7.223159303480087,
      7.038406068809521,
      6.858334328184228,
      6.682416157422492,
      6.510123077263235,
      6.340947840089466,
      6.174421561288718,
      6.010124773178608,
      5.84770174529781,
      5.686869793063645,
      5.527418301591662,
      5.36920699083368,
      5.212168389658819,
      5.0563080836819045,
      4.901708388600245,
      4.748513310485345,
      4.596910873499408,
      4.447146546226783,
      4.299519377724397,
      4.154370120106494,
      4.012075253588865,
      3.8730469593852863,
      3.737697776111042,
      3.60641726907436,
      3.479561660286175,
      3.3574452054273847,
      3.240333623311415,
      3.1284405972474914,
      3.021925780977061,
      2.920893102323108,
      2.8253870135801042,
      2.7353959813112665,
      2.6508527481465105,
      2.571637162044291,
      2.497576991643327,
      2.428441887091388,
      2.3639767508098517,
      2.3039022067218498,
      2.247914378706918,
      2.195680466898193,
      2.146824696044488,
      2.1009552719062707,
      2.0577167199957094,
      2.016772104457311,
      1.9778003354176745,
      1.9405294961885702,
      1.9047480486972261,
      1.870290589549743,
      1.8370236174072037,
      1.804835194765496,
      1.77362807993946,
      1.7433232381873973,
      1.7138564582510252,
      1.6851744954938217,
      1.6572315692606787,
      1.6299853221800789,
      1.6033986439678065,
      1.5774394538521272,
      1.5520794749215905,
      1.527293363576632,
      1.5030580851995015,
      1.4793524642700955,
      1.4561568567953587,
      1.4334529092652926,
      1.4112233775455472,
      1.389451991108425,
      1.3681235490844013,
      1.3472243913198805,
      1.3267414813816105,
      1.306662167742032,
      1.2869746836964084,
      1.2676678616840271,
      1.2487307276682265,
      1.2301525777087452,
      1.2119230226901563,
      1.1940320137229499,
      1.1764698529775544,
      1.1592271957624305,
      1.1422950458755934,
      1.1256650208575576,
      1.109329870759332,
      1.093282858850143,
      1.0775173466128916,
      1.0620265981461186,
      1.0468038913028301,
      1.03184259116996,
      1.0171361958554324,
      1.002678365673441,
      0.9884629394673919,
      0.9744839431618469,
      0.9607356692168396,
      0.947213540376676,
      0.9339134840166513,
      0.9208311404060606,
      0.9079620076201648,
      0.8953015369951978,
      0.882845196316885,
      0.8705885107102423,
      0.8585270899878805,
      0.8466566439609507,
      0.8349729922787696,
      0.8234725094256049,
      0.8121529107940894,
      0.8010117301653922,
      0.7900460941837282,
      0.7792527781893793,
      0.7686284372811817,
      0.7581697386533675,
      0.7478733887063255,
      0.7377361504842602,
      0.7277548545774447,
      0.717926404778812,
      0.7082477813228486,
      0.6987160417279199,
      0.6893283205785938,
      0.6800818282044,
      0.6709735236801458,
      0.6619999720312071,
      0.6531579967236221,
      0.6444447028367959,
      0.6358574070247155,
      0.6273935889802995,
      0.6190508571407248,
      0.6108269248704863,
      0.6027195937425783,
      0.5947267413444233,
      0.5868463127537213,
      0.5790763136410585,
      0.5714148052750989,
      0.5638599008218327,
      0.5564097623823336,
      0.5490625980874098,
      0.5418166603480155,
      0.5346702436670888,
      0.5276216828573772,
      0.5206693518760358,
      0.5138116621381352,
      0.5070470613832933,
      0.5003740325181163,
      0.4937910924134295,
      0.48729679081627586,
      0.48088970935532555,
      0.474568460289798,
      0.46833168599764635,
      0.4621780577592283,
      0.4561062749850913,
      0.4501150642809621,
      0.4442031788381341,
      0.4383693976693772,
      0.4326125246437561,
      0.426931387907891,
      0.4213248392650102,
      0.4157917532605102,
      0.4103310267394923,
      0.40494157829469735,
      0.39962234755625237,
      0.39437229483490777,
      0.38919040020530615,
      0.3840756629975303,
      0.3790271014953677,
      0.37404375243655336,
      0.36912467052138875,
      0.36426881830563196,
      0.35947497065478656,
      0.35474198245663574,
      0.35006881137854495,
      0.34545449054330973,
      0.3408981095028974,
      0.33639880096513514,
      0.3319557314587638,
      0.3275680948637735,
      0.32323510788230086,
      0.31895600682570985,
      0.3147300453009635,
      0.31055649253570566,
      0.30643463198149057,
      0.30236376049761615,
      0.2983431876052691,
      0.2943722378116339,
      0.29045038423083375,
      0.2865771787148205,
      0.2827521129512468,
      0.27897464043258197,
      0.27524419168557596,
      0.2715601864303207,
      0.26792237451221246,
      0.2643311046075506,
      0.260786609944016,
      0.2572888605829225,
      0.2538377829640316,
      0.2504331937444425,
      0.24707475481051228,
      0.24376202674766242,
      0.24049450482459253,
      0.23727164341073143,
      0.23409287228977999,
      0.2309576078199577,
      0.22786526033185112,
      0.2248152393320306,
      0.22180695659620442,
      0.2188397949387194,
      0.21591308135366932,
      0.21302617050373857,
      0.21017845157184603,
      0.2073693398987472,
      0.20459827099360714,
      0.20186469669199933,
      0.19916808242973535,
      0.19650790520292374,
      0.19388365239819005,
      0.19129482081458957,
      0.18874091587444022,
      0.18622145117298958,
      0.18373594820031644,
      0.18128393577719343,
      0.1788649500298653,
      0.1764785342044711,
      0.1741242383971916,
      0.17180161940296967,
      0.16951024049819896,
      0.16724967160884216,
      0.16501948894826413,
      0.16281927490057635,
      0.16064861785634496,
      0.1585071123948125,
      0.15639435892308504,
      0.15430996358545843,
      0.1522535383283609,
      0.15022470060588636,
      0.14822307352078867,
      0.14624828544653717,
      0.1442999702121004,
      0.14237776678011893,
      0.1404813193347,
      0.13861027715524446,
      0.13676429460078252,
      0.1349430307404991,
      0.1331461495642878,
      0.1313733199092746,
      0.12962421513380507,
      0.12789851337789113,
      0.12619589733564773,
      0.12451605415018792,
      0.12285867524605598,
      0.12122345639119803,
      0.11961009770915738,
      0.11801830344421559,
      0.11644778203230476,
      0.11489824602660816,
      0.11336941198527392,
      0.11186100037871405,
      0.11037273549695546,
      0.10890434554113583,
      0.10745556251157713,
      0.10602612210231657,
      0.10461576360781097,
      0.10322423001347959,
      0.10185126785679993,
      0.10049662710063408,
      0.0991600610941317,
      0.09784132671723061,
      0.09654018422528443,
      0.09525639723254851,
      0.09398973240855658,
      0.09273995962987136,
      0.09150685206679987,
      0.09029018594438712,
      0.08908974058125249,
      0.08790529824215815,
      0.08673664428055453,
      0.08558356681509716,
      0.08444585712854362,
      0.08332330909140769,
      0.08221571947303526,
      0.0811228877858191,
      0.08004461633621301,
      0.07898071012701846,
      0.07793097676272094,
      0.07689522644699658,
      0.0758732720183096,
      0.07486492884538125,
      0.07387001486858157,
      0.07288835035820497,
      0.07191975804677493,
      0.07096406309251327,
      0.07002109305430751,
      0.06909067789511252,
      0.06817264974902233,
      0.067266843062129,
      0.06637309446180555,
      0.06549124197321526,
      0.06462111126220063,
      0.06376252455028196,
      0.06291531372214158,
      0.062079317608828524,
      0.061254380453188685,
      0.06044035088919537,
      0.05963708103320204,
      0.058844426059435156,
      0.05806224385032274,
      0.05729039461611549,
      0.056528740723297805,
      0.05577714661728708,
      0.05503547874656307,
      0.054303605516201364,
      0.053581397058591794,
      0.052868725385596727,
      0.052165464188475244,
      0.05147148885402991,
      0.05078667640756654,
      0.05011090562779864,
      0.049444056859480175,
      0.04878601211847858,
      0.04813665487524927,
      0.0474958701910175,
      0.04686354470695176,
      0.04623956649320677,
      0.04562382512902642,
      0.045016211719046816,
      0.044416618704981856,
      0.043824940108931856,
      0.04324107130550367,
      0.04266490893921271,
      0.04209635127267209,
      0.041535297742895064,
      0.04098164911042629,
      0.040435307556259105,
      0.039896176427910005,
      0.03936416042585375,
      0.03883916555018006,
      0.03832109900447618,
      0.03780986925714585,
      0.03730538600560433,
      0.03680755549142027,
      0.036316259545633646,
      0.03583137868939663,
      0.035352806030408086,
      0.034880443466966005,
      0.03441419930497477,
      0.03395398665325405,
      0.033499722193662436,
      0.03305132545226237,
      0.03260871802037019,
      0.03217182339481637,
      0.03174056667923817,
      0.03131487416730927,
      0.03089467345238206,
      0.030479893249508602,
      0.030070463288717052,
      0.02966631431380055,
      0.029267378053079586,
      0.0288735871405886,
      0.02848487582201157,
      0.028101182086865573,
      0.027722444521650208,
      0.027348601240164246,
      0.026979590598740465,
      0.026615351254004875,
      0.026255822215534907,
      0.025900943007978593,
      0.02555065385408173,
      0.025204895593631017,
      0.024863609718935697,
      0.02452673848940034,
      0.02419422481355289,
      0.02386601238825922,
      0.023542045650016157,
      0.0232222695954845,
      0.022906629992341436,
      0.022595073376868776,
      0.022287546876401065,
      0.021983998383955452,
      0.02168437637959867,
      0.02138862998927042,
      0.021096709141944243,
      0.02080856430337035,
      0.02052414661299447,
      0.020243407876771414,
      0.019966300423033528,
      0.01969277729094555,
      0.01942279211640123,
      0.019156299166819588,
      0.018893253161693477,
      0.01863360960424997,
      0.018377324460527856,
      0.01812435422868678,
      0.017874655991070396,
      0.017628187430485748,
      0.017384906721479125,
      0.01714477269105167,
      0.016907741802202822,
      0.016673758472301993,
      0.01644276744482593,
      0.016214719244772864,
      0.01598956861694013,
      0.015767273235439236,
      0.015547793137286402,
      0.015331090120372077,
      0.015117127148482354,
      0.014905868371465868,
      0.014697278768506959,
      0.014491323959926526,
      0.01428797023770113,
      0.01408718435690927,
      0.013888933742512984,
      0.013693186221703877,
      0.013499910082238666,
      0.013309074049697034,
      0.013120647317611499,
      0.01293459943290624,
      0.01275090029105157,
      0.012569520164207128,
      0.012390429749977725,
      0.012213600170974732,
      0.012039002963384676,
      0.011866609895225979,
      0.011696393097486844,
      0.011528324986383301,
      0.011362378556111729,
      0.011198527005436073,
      0.011036743925510496,
      0.010877003145138777,
      0.010719278869891989,
      0.01056354566993778,
      0.010409778373935061,
      0.010257952211971202,
      0.010108042629265812,
      0.009960025463458309,
      0.009813876843410483,
      0.00966957317174791,
      0.009527091127822074,
      0.009386407747830177,
      0.009247500360340982,
      0.009110346420800323,
      0.008974923804947667,
      0.008841210670816252,
      0.008709185500395764,
      0.008578826983429991,
      0.008450114035490959,
      0.008323025893359029,
      0.008197542020898462,
      0.008073642161957457,
      0.00795130637536734,
      0.007830514950295117,
      0.007711248284495548,
      0.007593487112656423,
      0.007477212500644671,
      0.007362405739473967,
      0.00724904822098809,
      0.00713712161942264,
      0.007026607870082967,
      0.006917489149503771,
      0.006809747862719104,
      0.00670336663776964,
      0.006598328372109426,
      0.006494616069930386,
      0.00639221297918692,
      0.006291102525658052,
      0.00619126840710402,
      0.006092694497295399,
      0.005995364897280793,
      0.00589926391766814,
      0.0058043760930345835,
      0.005710686019786654,
      0.005618178524476499,
      0.00552683873794262,
      0.00543665199876693
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567604445470804,
      10.339608611344781,
      10.104785735986752,
      9.865838693796855,
      9.62501483825573,
      9.384291774697942,
      9.145361846189404,
      8.909635601326885,
      8.678260907780816,
      8.45211248240552,
      8.231796889259263,
      8.017665937030145,
      7.809841490711251,
      7.608247475820218,
      7.4126470450367306,
      7.222679270721637,
      7.037895497132215,
      6.857793036198932,
      6.681843958304665,
      6.5095198020120195,
      6.340313377073728,
      6.17375592263588,
      6.009428282964207,
      5.846975117275965,
      5.686114014443052,
      5.526634700671687,
      5.368397266936026,
      5.211334685121724,
      5.055452969355254,
      4.9008348402796225,
      4.74762470727825,
      4.596011142954912,
      4.4462399228350336,
      4.29861034021709,
      4.1534633404841514,
      4.011175815360061,
      3.8721603354516176,
      3.7368291438040937,
      3.6055714220082744,
      3.478742930615505,
      3.3566573996996047,
      3.2395799760769006,
      3.127723720330546,
      3.0212476717809076,
      2.9202550483746967,
      2.8247895222135817,
      2.7348389696956983,
      2.6503351121591665,
      2.571156865985508,
      2.497131311169416,
      2.428027681580045,
      2.36359075721925,
      2.3035410111572983,
      2.2475743354173936,
      2.1953576345233627,
      2.1465147058210077,
      2.100654102414848,
      2.057420842550942,
      2.016478244861783,
      1.9775057321256257,
      1.9402320694429838,
      1.90444627841013,
      1.8699833723857064,
      1.836710163135186,
      1.8045148594967741,
      1.7733004045735594,
      1.7429879490980533,
      1.7135134150106845,
      1.6848236522930071,
      1.6568729640449587,
      1.6296190646626407,
      1.6030248629378625,
      1.5770582905804909,
      1.551691078526396,
      1.5268978871822299,
      1.5026556831430349,
      1.4789432906590274,
      1.4557410641920416,
      1.4330306477490498,
      1.410794795114428,
      1.3890172327207808,
      1.3676827657799038,
      1.3467777455407859,
      1.3262891244323616,
      1.306204260583667,
      1.2865114071775428,
      1.2671993764777472,
      1.2482571795662472,
      1.2296741009575944,
      1.2114397430974273,
      1.1935440505659916,
      1.1759773197636094,
      1.1587302013636418,
      1.141793695936341,
      1.1251594458757532,
      1.1088202084941714,
      1.0927692436424972,
      1.0769998989727319,
      1.0615054283800847,
      1.0462791025807847,
      1.031314280761842,
      1.016604456725293,
      1.0021432869560913,
      0.9879246074043672,
      0.9739424416324286,
      0.9601911666351575,
      0.9466663275032664,
      0.9333637808125089,
      0.920279118511976,
      0.9074078049440856,
      0.8947452681620802,
      0.8822869595598168,
      0.8700283929964273,
      0.8579651700323222,
      0.8460929944568257,
      0.8344076813991128,
      0.8229058590942744,
      0.8115852644299545,
      0.8004433342817306,
      0.789477154823911,
      0.7786835215135763,
      0.7680590392759059,
      0.7576003287365894,
      0.7473040646918562,
      0.7371669889021166,
      0.7271859173928298,
      0.7173577441302924,
      0.7076794423934245,
      0.6981480646980309,
      0.6887607423784046,
      0.6795146834601048,
      0.6704068762754345,
      0.6614338878274425,
      0.6525925293384882,
      0.6438798976393106,
      0.6352933036225331,
      0.6268302226641018,
      0.6184882603845507,
      0.6102651282817879,
      0.6021586264142788,
      0.5941666313482988,
      0.586287087089347,
      0.5785179984795267,
      0.5708574263977712,
      0.5633034835427355,
      0.5558543313604914,
      0.5485081775129576,
      0.5412632738918192,
      0.5341179145752123,
      0.5270704340641964,
      0.5201192058051003,
      0.5132626409540082,
      0.5064991869829061,
      0.49982732633750976,
      0.4932455753300168,
      0.4867524833493162,
      0.4803466316312082,
      0.4740266320520101,
      0.4677911265092525,
      0.4616387859025303,
      0.4555683094317335,
      0.44957842327538133,
      0.44366788010242825,
      0.43783545855658407,
      0.4320799621839618,
      0.42640021872212447,
      0.4207950793972128,
      0.41526341861437976,
      0.4098041329513872,
      0.4044161406019244,
      0.3990983807877103,
      0.39384981321847234,
      0.38866941757669,
      0.3835561929029818,
      0.37850915728964885,
      0.37352734707216234,
      0.3686098164601708,
      0.3637555005842748,
      0.3589631710909472,
      0.3542316925849409,
      0.349560029396138,
      0.3449472190525977,
      0.34039235419644637,
      0.33589456940760665,
      0.3314530323953106,
      0.3270669378098784,
      0.3227355027779437,
      0.3184579638921077,
      0.31423357465463475,
      0.31006160405420036,
      0.3059413354462387,
      0.3018720654669581,
      0.2978531033610017,
      0.29388379128272824,
      0.28996362758552174,
      0.28609214944350125,
      0.2822688384829652,
      0.2784931413078675,
      0.2747644835698165,
      0.2710822881850891,
      0.26744645846928755,
      0.26385739406938846,
      0.2603152544739547,
      0.25682002702760615,
      0.2533716414414989,
      0.24996985412720246,
      0.24661428622687323,
      0.24330447068725367,
      0.24003988411824403,
      0.23681996809755076,
      0.23364414388271112,
      0.2305118220231323,
      0.2274224090094839,
      0.22437531143030723,
      0.22136993914168399,
      0.21840566214611576,
      0.2154818056289495,
      0.21259772806619368,
      0.20975282129861414,
      0.20694650236869444,
      0.20417820798173192,
      0.20144739079411553,
      0.19875351684166773,
      0.1960960635898351,
      0.19347451866269053,
      0.19088837892815924,
      0.1883371498862419,
      0.18582034516671384,
      0.18333748623765989,
      0.18088810208200182,
      0.17847172881536644,
      0.17608790966507423,
      0.1737361946738227,
      0.1714161407001774,
      0.1691273111050393,
      0.16686927577909233,
      0.1646416108818798,
      0.16244389885111335,
      0.16027572825067346,
      0.15813669358379234,
      0.15602639520461206,
      0.15394443933516253,
      0.15189043790044165,
      0.14986400841175845,
      0.14786477396062492,
      0.1458923629678026,
      0.14394640915748516,
      0.14202655160996103,
      0.1401324345883758,
      0.13826370736786578,
      0.1364200242513237,
      0.134601044396215,
      0.13280643184692717,
      0.13103585538468437,
      0.1292889885190922,
      0.1275655093794859,
      0.12586510065269868,
      0.1241874494135104,
      0.12253224731304033,
      0.12089919004930172,
      0.11928797771607742,
      0.11769831473290665,
      0.11612990956020702,
      0.11458247481535586,
      0.11305572703309087,
      0.11154938668712402,
      0.11006317823695191,
      0.10859682983171985,
      0.10715007346512662,
      0.10572264490761926,
      0.10431428361960092,
      0.10292473254973815,
      0.10155373817385088,
      0.10020105062838414,
      0.09886642339203977,
      0.09754961339234403,
      0.09625038090745686,
      0.0949684894670575,
      0.0937037058276757,
      0.09245580007407554,
      0.09122454533101688,
      0.09000971792480357,
      0.08881109714887081,
      0.08762846536393706,
      0.08646160790559772,
      0.08531031310410396,
      0.0841743721367086,
      0.08305357901073532,
      0.08194773059190097,
      0.08085662645511513,
      0.07978006894509884,
      0.07871786305643366,
      0.07766981652660117,
      0.07663573968103951,
      0.07561544538313988,
      0.07460874904755492,
      0.0736154686179589,
      0.07263542451613515,
      0.07166843955841723,
      0.07071433901476414,
      0.06977295047289554,
      0.06884410390849995,
      0.06792763141398292,
      0.06702336759673191,
      0.06613114912136131,
      0.06525081500401125,
      0.06438220643808382,
      0.06352515696840896,
      0.06267949108280692,
      0.061845040834657035,
      0.06102164597799286,
      0.060209152083132565,
      0.05940740920899714,
      0.05861627110774404,
      0.057835594764862414,
      0.057065239776442726,
      0.056305068098944845,
      0.055554944056067285,
      0.05481473393139743,
      0.054084306064818725,
      0.05336353060670063,
      0.05265227956513642,
      0.05195042664090372,
      0.05125784718950767,
      0.050574418332605155,
      0.0499000189330597,
      0.04923452942082609,
      0.048577831815503944,
      0.047929809688100816,
      0.0472903482655233,
      0.046659334188133283,
      0.04603665572157849,
      0.04542220242093623,
      0.04481586554108215,
      0.044217537661419164,
      0.043627112808845354,
      0.04304448647167319,
      0.04246955537410501,
      0.04190221777078294,
      0.041342373206588706,
      0.040789922564275105,
      0.04024476805070663,
      0.03970681317825323,
      0.03917596273869868,
      0.038652122712170424,
      0.03813520040305591,
      0.037625104415842596,
      0.0371217444035255,
      0.03662503136428737,
      0.03613487060570575,
      0.035651142300296486,
      0.03517373061946767,
      0.03470253137977458,
      0.03423744880559668,
      0.033778393135736225,
      0.033325279198040215,
      0.03287802514495541,
      0.032436551704624984,
      0.0320007818078217,
      0.03157064015625817,
      0.031146052899990107,
      0.030726947457017154,
      0.03031325253176688,
      0.02990489783636617,
      0.02950181415314705,
      0.02910393321996049,
      0.028711187669961998,
      0.028323511776074246,
      0.02794084351617338,
      0.02756312159184729,
      0.02719028431123775,
      0.02682227007939439,
      0.026459017589722432,
      0.02610046596574867,
      0.025746554802878765,
      0.025397224313653145,
      0.02505241551357954,
      0.02471206995850373,
      0.02437612991656806,
      0.024044538428487524,
      0.023717239281766837,
      0.023394176924160404,
      0.023075296500683903,
      0.022760543867766946,
      0.022449865622947977,
      0.022143209003913325,
      0.021840521898186676,
      0.0215417528742047,
      0.021246851202734368,
      0.02095576683930859,
      0.020668450360216643,
      0.020384852978709594,
      0.020104926511446065,
      0.019828623374039754,
      0.019555896668279137,
      0.019286700170030598,
      0.01902098807173524,
      0.018758715286393047,
      0.018499837334548276,
      0.018244310208006147,
      0.017992090553513994,
      0.017743135420315945,
      0.017497402568848804,
      0.017254850406857414,
      0.017015437679985927,
      0.016779123749182133,
      0.016545868482166267,
      0.01631563220416107,
      0.01608836609852246,
      0.015864014480755344,
      0.015642527341131703,
      0.01542385942208133,
      0.01520796874337869,
      0.014994815706217393,
      0.014784362562583775,
      0.014576573102048032,
      0.01437141214071347,
      0.014168845427905466,
      0.013968839499080786,
      0.013771361538395512,
      0.01357637919262483,
      0.013383860717760869,
      0.013193774778355797,
      0.013006090496223973,
      0.012820777513868462,
      0.012637805792685464,
      0.01245714570506579,
      0.012278767988071187,
      0.01210264378131902,
      0.011928744641249317,
      0.011757042340044994,
      0.011587509111471193,
      0.011420117662717603,
      0.01125484088270614,
      0.01109165204761454,
      0.010930524773206626,
      0.010771433089395559,
      0.010614351167342556,
      0.010459253701821046,
      0.010306115605656732,
      0.010154912084779798,
      0.01000561874456327,
      0.009858211443143776,
      0.009712666260269051,
      0.009568959721598809,
      0.009427068560104253,
      0.009286969930280251,
      0.009148641172134235,
      0.009012059893990797,
      0.008877203999158456,
      0.008744051669152311,
      0.008612581424425935,
      0.008482772039979606,
      0.008354602519448822,
      0.008228052069910065,
      0.008103100268276875,
      0.007979726949485094,
      0.007857912228971229,
      0.0077376362975394705,
      0.007618879763469249,
      0.007501623442719472,
      0.007385848391783904,
      0.007271535960729347,
      0.007158667586146552,
      0.0070472250238559405,
      0.006937190277240353,
      0.006828545558379527,
      0.006721273313564573,
      0.006615356199101405,
      0.006510777108625671,
      0.006407519099521289,
      0.006305565415529574,
      0.006204899599044618,
      0.006105505458383543,
      0.006007366966007938,
      0.005910468271960963,
      0.005814793673537641,
      0.005720327680675491,
      0.005627055006278451,
      0.005534960607893897,
      0.0054440295713288536,
      0.005354247249446364
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567595887578557,
      10.339580853388705,
      10.104731448724651,
      9.865753326936057,
      9.624895552139316,
      9.384137136005352,
      9.145171783533598,
      8.909410603642037,
      8.678001497011904,
      8.451819321872287,
      8.231470813403945,
      8.017307761694926,
      7.809451907508634,
      7.607826940453105,
      7.412195802440005,
      7.222197394571486,
      7.037382913330051,
      6.857249564666216,
      6.681269412689846,
      6.508914015969742,
      6.3396762401869635,
      6.173087448828699,
      6.008728796639603,
      5.846245332659792,
      5.685354922265413,
      5.525847631577383,
      5.367583923588832,
      5.210497213698831,
      5.05459394592944,
      4.8999572472718995,
      4.746731930197172,
      4.595107116363006,
      4.445328891025699,
      4.297696793555437,
      4.152551962577574,
      4.010271702216116,
      3.8712689734049377,
      3.7359557242436883,
      3.604720752995802,
      3.477919356968629,
      3.355864740140248,
      3.238821477243368,
      3.127002004241217,
      3.0205647454222295,
      2.919612208346844,
      2.824187283484073,
      2.734277256922209,
      2.6498128287685105,
      2.5706719821394723,
      2.49668110853417,
      2.427609025386694,
      2.363200390699972,
      2.3031755272162098,
      2.247230094077472,
      2.1950306985431283,
      2.146200708731623,
      2.100349024099564,
      2.0571211497549107,
      2.0161806649591667,
      1.9772075042673942,
      1.9399311134883808,
      1.9041410736068924,
      1.8696728136498932,
      1.8363934582779018,
      1.8041913617590584,
      1.772969651435883,
      1.7426496641678046,
      1.7131674545555264,
      1.6844699677563912,
      1.656511590954943,
      1.6292501100080001,
      1.6026484528559268,
      1.5766745641407705,
      1.5513001823031907,
      1.5264999717381604,
      1.5022509008642242,
      1.4785317934142403,
      1.4553230029489366,
      1.4326061717533396,
      1.4103640504752428,
      1.3885803624324031,
      1.3672399195165397,
      1.3463290844307025,
      1.325834798223659,
      1.305744429060124,
      1.286046250044034,
      1.2667290527472268,
      1.2477818330664896,
      1.2291938646413108,
      1.2109547416986886,
      1.1930544014479276,
      1.1754831354649526,
      1.1582315903336284,
      1.1412907627277205,
      1.1246523210125106,
      1.1083090290041298,
      1.0922541428412333,
      1.076480996869606,
      1.0609828349553678,
      1.0457529201453817,
      1.0307846059610581,
      1.0160713813738593,
      1.0016068995863892,
      0.987384993799168,
      0.9733996854612692,
      0.9596454356938846,
      0.9461179121906087,
      0.9328129006829907,
      0.9197259445041606,
      0.906852474580764,
      0.894187895596361,
      0.8817276425704627,
      0.8694672181156805,
      0.8574022151549912,
      0.8455283317329784,
      0.8338413787882574,
      0.8223382381296173,
      0.8110166679647294,
      0.7998740084976729,
      0.7889072800853328,
      0.7781132968281351,
      0.7674886583506076,
      0.7570299326927364,
      0.7467337594329485,
      0.7365968560682362,
      0.7266160221897052,
      0.7167881406885968,
      0.7071101770287337,
      0.6975791786317953,
      0.6881922730114749,
      0.6789466657036817,
      0.6698393737329829,
      0.6608669659732893,
      0.6520262414493249,
      0.6433142886115633,
      0.63472841268781,
      0.6262660852408165,
      0.6179249087653785,
      0.6097025927624894,
      0.6015969358238923,
      0.5936058132368761,
      0.5857271682357291,
      0.577959005084989,
      0.5702993838382941,
      0.562746416595486,
      0.5552982645246022,
      0.5479531348900869,
      0.5407092788816635,
      0.5335649900461108,
      0.5265186026435096,
      0.519568489883218,
      0.5127130624784403,
      0.5059507674240279,
      0.4992800867232751,
      0.49269953642698483,
      0.4862076653540502,
      0.479803054440365,
      0.4734843152210506,
      0.46725008920534233,
      0.46109904695327075,
      0.4550298870118339,
      0.44904133540120245,
      0.44313214451070293,
      0.4373010925019397,
      0.43154698248474654,
      0.4258686418771203,
      0.42026492154481815,
      0.41473469525748546,
      0.40927685933803315,
      0.40389033159201787,
      0.39857405089337183,
      0.3933269766648603,
      0.3881480881296421,
      0.38303638409843954,
      0.37799088212472765,
      0.3730106182510495,
      0.36809464648309326,
      0.3632418743551928,
      0.35845107035218915,
      0.35372110877674734,
      0.34905096052544243,
      0.3444396675877273,
      0.3398863256113038,
      0.3353900711159922,
      0.33095007303303686,
      0.32656552670998035,
      0.3222356496622242,
      0.3179596786253946,
      0.31373686726436506,
      0.30956648458331254,
      0.3054478135494281,
      0.3013801505378714,
      0.29736280461811865,
      0.29339513542564416,
      0.2894766667041432,
      0.28560692111325964,
      0.2817853701400979,
      0.27801145337153765,
      0.27428459158212076,
      0.2706042265475649,
      0.2669704309910373,
      0.2633836079085211,
      0.2598438692155785,
      0.256351234825766,
      0.25290558885179826,
      0.24950663513255147,
      0.24615395920370112,
      0.24284706982927767,
      0.23958542734551558,
      0.23636846221830035,
      0.23319558810836966,
      0.23006621044820197,
      0.22697973217948988,
      0.22393555760222258,
      0.22093309492339658,
      0.2179717013863111,
      0.21505070044400507,
      0.21216945460089176,
      0.2093273582012987,
      0.20652383020336146,
      0.2037583085056076,
      0.2010302465187699,
      0.1983391108499099,
      0.19568437926449908,
      0.19306553960625025,
      0.19048208897110705,
      0.1879335329677241,
      0.1854193854185116,
      0.18293916778762653,
      0.18049240908538267,
      0.17807864556190703,
      0.17569742035470876,
      0.17334828361095336,
      0.1710307921948102,
      0.1687445094749221,
      0.16648900528755098,
      0.16426385576345814,
      0.16206864340018828,
      0.15990295671200255,
      0.15776639025876618,
      0.15565854442341423,
      0.15357902547254557,
      0.15152744528318757,
      0.14950342132054872,
      0.14750657668218614,
      0.14553653994820542,
      0.14359294498360425,
      0.1416754307556136,
      0.1397836414202604,
      0.13791722637978127,
      0.13607583993538863,
      0.13425914131113909,
      0.1324667944823478,
      0.13069846839381483,
      0.12895383655064926,
      0.12723257713195948,
      0.12553437282019617,
      0.12385891077124128,
      0.12220588243987471,
      0.12057498378736613,
      0.11896591503286756,
      0.11737838052641097,
      0.1158120887177997,
      0.11426675217688696,
      0.11274208756350153,
      0.11123781545824118,
      0.10975366025682193,
      0.108289350235935,
      0.10684461744765768,
      0.1054191976833226,
      0.10401283036124279,
      0.10262525856617256,
      0.10125622891042803,
      0.09990549150862697,
      0.09857279996437109,
      0.09725791118432628,
      0.0959605854962591,
      0.09468058658790741,
      0.09341768117109427,
      0.09217163929241963,
      0.09094223431876822,
      0.0897292424502341,
      0.0885324431023398,
      0.08735161868208126,
      0.0861865546862283,
      0.08503703941003167,
      0.08390286410126166,
      0.08278382286732063,
      0.08167971254131515,
      0.08059033283496593,
      0.07951548613247182,
      0.07845497750714177,
      0.07740861478622277,
      0.07637620835147475,
      0.07535757114030234,
      0.07435251857957323,
      0.07336086866529118,
      0.0723824418987372,
      0.07141706120364881,
      0.07046455188007184,
      0.06952474162477859,
      0.06859746037577383,
      0.06768254045757698,
      0.06677981655082939,
      0.06588912540660882,
      0.06501030597234715,
      0.06414319949721826,
      0.06328764940101506,
      0.062443497079077356,
      0.061610570830414456,
      0.0607887028391689,
      0.05997773357401229,
      0.059177509692887355,
      0.05838788259830335,
      0.05760870758007488,
      0.056839843265469966,
      0.05608115099633246,
      0.0553324946331836,
      0.054593740199974206,
      0.05386475575358505,
      0.05314541132459361,
      0.05243557902441212,
      0.05173513251799421,
      0.05104394721152544,
      0.05036190034492899,
      0.04968887076070123,
      0.04902473890121662,
      0.04836938687914359,
      0.04772269842360136,
      0.047084558819936825,
      0.046454854711819225,
      0.04583347439589121,
      0.04522030771816116,
      0.044615245842927455,
      0.04401818147205838,
      0.043429008659523316,
      0.04284762300074174,
      0.042273921407302066,
      0.04170780214134366,
      0.041149164813992486,
      0.04059791037912738,
      0.04005394121512822,
      0.039517160830502905,
      0.038987474072970284,
      0.03846478712446579,
      0.03794900738336207,
      0.037440043475699854,
      0.03693780519128058,
      0.036442203513582634,
      0.03595315060956204,
      0.03547055006092812,
      0.03499428205801765,
      0.03452423406731341,
      0.03406030447990253,
      0.03360239972791444,
      0.03315043191863711,
      0.032704317362406116,
      0.03226397555883147,
      0.03182932848473944,
      0.03140030036599368,
      0.030976816945430283,
      0.03055880560652531,
      0.03014619486666651,
      0.029738914365133068,
      0.029336894883870965,
      0.028940068146750424,
      0.02854836685798919,
      0.028161725389822118,
      0.027780081822389325,
      0.02740337475624421,
      0.027031542620931673,
      0.026664523955952063,
      0.026302257360902633,
      0.025944682056866196,
      0.02559173783310259,
      0.025243365052954343,
      0.02489950469410187,
      0.024560098397384704,
      0.024225088530957437,
      0.02389441825740486,
      0.02356803130471175,
      0.023245872280520923,
      0.022927886467687945,
      0.022614019775579745,
      0.022304218820856883,
      0.02199843091554167,
      0.021696604140576246,
      0.021398687085254244,
      0.02110462903553718,
      0.020814380029615033,
      0.020527890702059036,
      0.02024511236084907,
      0.019965996891927566,
      0.019690496876012993,
      0.01941856538380568,
      0.019150156211826315,
      0.01888522369502784,
      0.0186237227949777,
      0.018365609133376704,
      0.01811083875435445,
      0.01785936839115818,
      0.017611155245730818,
      0.017366157107149647,
      0.017124332338888385,
      0.016885639728285474,
      0.01665003868743665,
      0.016417489221521787,
      0.016187951867250003,
      0.015961387582661506,
      0.015737757765912724,
      0.015517021637253025,
      0.015299127076492872,
      0.015084022690554718,
      0.014871662418920923,
      0.014662004074427266,
      0.014455008344614577,
      0.014250637887058663,
      0.01404885701143188,
      0.01384963122132236,
      0.013652926951914082,
      0.013458711444662048,
      0.013266952625245739,
      0.013077618984047558,
      0.012890679656256157,
      0.012706104154324991,
      0.012523862528466555,
      0.012343925051817178,
      0.012166262561976237,
      0.011990846282911848,
      0.011817647775665347,
      0.011646638985803056,
      0.011477792197102366,
      0.01131108003716899,
      0.01114647554195819,
      0.010983952081588975,
      0.010823483325988616,
      0.010665043236919993,
      0.010508606131291795,
      0.0103541467138818,
      0.010201640041768923,
      0.010051061350059443,
      0.009902386311022734,
      0.009755590919502297,
      0.009610651385980093,
      0.00946754415141715,
      0.009326246030151412,
      0.009186734246130502,
      0.009048986152696918,
      0.00891297944908342,
      0.00877869217556146,
      0.00864610252544375,
      0.008515189033139083,
      0.008385930604315818,
      0.008258306286941984,
      0.008132295341586162,
      0.008007877433641428,
      0.007885032419913741,
      0.0077637403968145394,
      0.007643981755748541,
      0.007525737099904779,
      0.007408987257085154,
      0.007293713312655574,
      0.007179896649798438,
      0.007067518844640691,
      0.00695656174028241,
      0.006847007350023794,
      0.006738837850433438,
      0.006632035772140996,
      0.00652658388054551,
      0.006422465082453709,
      0.006319662613655748,
      0.006218159775817816,
      0.006117940106403956,
      0.00601898735208686,
      0.005921285576876511,
      0.00582481895946928,
      0.005729571826588052,
      0.005635528725112136,
      0.005542674482213683,
      0.005450994056806345,
      0.005360472620382063,
      0.0052710955808347336
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567587327957202,
      10.339553079518346,
      10.10467711055761,
      9.865667849796704,
      9.62477606932712,
      9.383982192287458,
      9.144981289308495,
      8.909185000238308,
      8.677741262559653,
      8.451525098784305,
      8.231143420464425,
      8.016948018130059,
      7.809060508399644,
      7.6074043457752305,
      7.411742260212943,
      7.221712979422197,
      7.036867552752213,
      6.856703080977354,
      6.680691621639168,
      6.508304751734842,
      6.339035394168454,
      6.1724150359303005,
      6.0080251430986165,
      5.845511155179133,
      5.684591214083665,
      5.525055726020786,
      5.366765526410144,
      5.209654475446216,
      5.053729449002057,
      4.899073982167719,
      4.745833290894207,
      4.594197047621932,
      4.444411649426458,
      4.296776882809622,
      4.151634082506208,
      4.009360967266896,
      3.8703708934986136,
      3.735075513795878,
      3.6038632415568843,
      3.4770889108512617,
      3.35506519826571,
      3.2380561045869665,
      3.126273441107686,
      3.019875015636537,
      2.9189626229143504,
      2.823578370555489,
      2.7337089526045104,
      2.6492840471687704,
      2.5701807025618106,
      2.4962245453118204,
      2.4271839951038867,
      2.3628036630137492,
      2.3028037192143906,
      2.2468795764458127,
      2.1946975439098657,
      2.1458805709631954,
      2.100037899518867,
      2.056815518330711,
      2.0158772631671944,
      1.9769035766896663,
      1.9396245828315302,
      1.903830419963836,
      1.8693569315915592,
      1.8360715539762051,
      1.8038627857479503,
      1.772633937874896,
      1.742306532876202,
      1.7128167587075742,
      1.684111655470805,
      1.656145693937148,
      1.6288767314713242,
      1.6022677158035796,
      1.576286604164772,
      1.5509051431031626,
      1.52609800112516,
      1.501842148419803,
      1.4781164091927315,
      1.454901135490711,
      1.4321779670837267,
      1.4099296517797244,
      1.388139909996555,
      1.3667935611505793,
      1.3458769789393252,
      1.3253770937591078,
      1.3052812835879974,
      1.2855778407865626,
      1.2662555365510115,
      1.2473033526345383,
      1.2287105516870651,
      1.210466719157214,
      1.1925617859122264,
      1.1749860380656498,
      1.1577301176366637,
      1.140785017903671,
      1.124142432848066,
      1.107795133562166,
      1.0917363731012784,
      1.0759594716169463,
      1.0604576628285274,
      1.045224202206085,
      1.0302524374501634,
      1.0155358536202368,
      1.001068100290193,
      0.9868430075194163,
      0.9728545943587339,
      0.9590974271988805,
      0.945567269539915,
      0.932259838425933,
      0.9191706301130709,
      0.906295043090125,
      0.8936284590381958,
      0.8811662969707049,
      0.8689040482160861,
      0.8568372978873384,
      0.8449617382491423,
      0.833273218283296,
      0.8217688527073842,
      0.8104463790663553,
      0.7993030472944088,
      0.7883358159070404,
      0.7775414815040973,
      0.7669166807570905,
      0.7564579439416574,
      0.7461618717055805,
      0.7360251554975867,
      0.7260445767804967,
      0.7162170058648898,
      0.7065393999426578,
      0.6970088007873294,
      0.6876223320242756,
      0.6783771964052434,
      0.6692704393798666,
      0.660298631502804,
      0.651458559741839,
      0.6427473043334107,
      0.6341621645247326,
      0.625700607723584,
      0.6173602338719251,
      0.6091387504871345,
      0.6010339547585106,
      0.5930437208866178,
      0.5851659910697231,
      0.5773987687043309,
      0.5697401131344936,
      0.5621881360277406,
      0.554740998210761,
      0.5473969065382164,
      0.5401541117900307,
      0.5330109072490825,
      0.5259656266433156,
      0.5190166426287903,
      0.5121623654644439,
      0.5054012417824284,
      0.4987317532576898,
      0.4921524155899544,
      0.4856617774468935,
      0.47925841922247003,
      0.4729409520468694,
      0.46670801710418697,
      0.46055828457630577,
      0.45449045247139475,
      0.44850324630733324,
      0.4425954182305558,
      0.43676574600714246,
      0.43101303242230005,
      0.42533610445674797,
      0.41973381267544957,
      0.4142050306024951,
      0.4087486541366408,
      0.40336360065414867,
      0.3980488085378348,
      0.3928032368816593,
      0.3876258646613096,
      0.3825156902116227,
      0.37747173068240114,
      0.37249302175439025,
      0.36757861708350137,
      0.36272739669000403,
      0.35793812602912484,
      0.3532096891568296,
      0.3485410635917356,
      0.3439312957255151,
      0.33937948398688517,
      0.3348847668514501,
      0.3304463145384469,
      0.32606332319594816,
      0.32173501090720746,
      0.31746061445061646,
      0.31323938741351665,
      0.3090705986760866,
      0.30495353126151553,
      0.3008874813337191,
      0.2968717575955774,
      0.2929057461480778,
      0.2889889841168785,
      0.28512098061210656,
      0.2813011977702063,
      0.27752906855012494,
      0.27380400905667673,
      0.27012555121171683,
      0.26649390038317594,
      0.2629093942816814,
      0.25937215147356196,
      0.25588219498268505,
      0.2524393447537128,
      0.24904326142886926,
      0.2456935012635838,
      0.2423895530811162,
      0.23913086351189564,
      0.23591685385634287,
      0.23274693156163193,
      0.2296204978955086,
      0.22653695304310786,
      0.22349569933310592,
      0.2204961413232892,
      0.2175376247537802,
      0.21461947380502092,
      0.21174105452184344,
      0.20890176383786585,
      0.20610102228172208,
      0.203338268957094,
      0.20061295805406779,
      0.19792455654760366,
      0.19527254264334995,
      0.1926564044815335,
      0.19007563926009527,
      0.1875297527743245,
      0.18501825882489834,
      0.18254067902642282,
      0.18009654229153066,
      0.17768538482867438,
      0.17530675000467724,
      0.17296018789461493,
      0.17064525530587518,
      0.16836151564107962,
      0.1661085387520912,
      0.16388590086203603,
      0.1616931843249786,
      0.15952997770753866,
      0.15739587563237045,
      0.1552904785490714,
      0.15321339267332326,
      0.15116422994214357,
      0.1491426078445725,
      0.1471481495226526,
      0.14518048349397294,
      0.1432392435041222,
      0.14132406869919487,
      0.1394346033055134,
      0.13757049660383902,
      0.1357314030076855,
      0.1339169818132691,
      0.1321268970407132,
      0.1303608175691529,
      0.12861841693054749,
      0.12689937330848552,
      0.12520336944967236,
      0.12353009251314506,
      0.12187923414985738,
      0.12025049032894475,
      0.11864356116500997,
      0.11705815110225054,
      0.1154939687050912,
      0.11395072653869594,
      0.11242814129140535,
      0.1109259336050422,
      0.1094438279310611,
      0.10798155264111282,
      0.10653883980681274,
      0.10511542518271616,
      0.10371104829057488,
      0.102325452223667,
      0.10095838369228674,
      0.09960959281413648,
      0.09827883322163744,
      0.09696586191404515,
      0.09567043922288498,
      0.09439232881430089,
      0.09313129769018168,
      0.09188711590808071,
      0.0906595567699873,
      0.08944839665322471,
      0.08825341495381604,
      0.0870743942316726,
      0.08591111990199733,
      0.08476338043966854,
      0.08363096708542021,
      0.08251367394045933,
      0.0814112980740556,
      0.08032363927336204,
      0.0792504998626921,
      0.07819168499681116,
      0.07714700252203134,
      0.07611626285980098,
      0.07509927907444681,
      0.07409586674062552,
      0.0731058438739838,
      0.07212903104232225,
      0.07116525118400623,
      0.07021432968942283,
      0.06927609427831084,
      0.0683503749937193,
      0.06743700421082555,
      0.06653581665132573,
      0.06564664918371259,
      0.0647693408762802,
      0.06390373298836917,
      0.06304966896662142,
      0.06220699431892403,
      0.06137555613340748,
      0.06055519009321929,
      0.05974572795605888,
      0.05894701043339612,
      0.05815888505009423,
      0.05738120447050606,
      0.05661382557280702,
      0.05585660849785808,
      0.055109416295873494,
      0.05437211445037714,
      0.05364457076152741,
      0.052926655043890214,
      0.05221823924576798,
      0.05151919700032375,
      0.05082940380070526,
      0.050148736796921486,
      0.04947707494281551,
      0.048814298761561195,
      0.04816029038767479,
      0.04751493362787424,
      0.04687811372911951,
      0.046249717562603834,
      0.04562963350532532,
      0.04501775140381155,
      0.04441396256558248,
      0.04381815969270699,
      0.043230236950990104,
      0.042650090067098315,
      0.0420776160530741,
      0.04151271316478319,
      0.04095528120231339,
      0.04040522127888112,
      0.0398624356134901,
      0.03932682796124461,
      0.03879830317433473,
      0.03827676748996437,
      0.0377621283775893,
      0.037254294489934246,
      0.036753175764685765,
      0.03625868334358779,
      0.035770729511930124,
      0.03528922768404919,
      0.03481407905797788,
      0.034345165188692,
      0.03388237657009278,
      0.033425614002871085,
      0.03297478577112201,
      0.0325298057196453,
      0.03209059169917204,
      0.03165706458419815,
      0.031229147754015064,
      0.03080676647204172,
      0.030389847616109765,
      0.029978319567693035,
      0.029572111849184377,
      0.029171155239723464,
      0.02877538148548485,
      0.028384723306277605,
      0.027999114965459836,
      0.027618494554596473,
      0.027242800872475673,
      0.02687197248985588,
      0.02650594791612545,
      0.026144665969520156,
      0.025788065868399518,
      0.02543608743233457,
      0.025088671120208787,
      0.024745757975048962,
      0.02440728976244816,
      0.024073208939724255,
      0.023743458697836544,
      0.023417982910720614,
      0.023096726182622148,
      0.022779633828518695,
      0.022466651838037546,
      0.022157726931167798,
      0.02185280654661604,
      0.021551838712511668,
      0.021254772237033964,
      0.020961556546189506,
      0.020672141657359686,
      0.02038647818716815,
      0.02010451755224207,
      0.019826211823456615,
      0.019551513519077204,
      0.019280375934014868,
      0.01901275285483059,
      0.01874859867146339,
      0.01848786840831667,
      0.018230517738794767,
      0.017976502830638844,
      0.017725780377701887,
      0.017478307691112478,
      0.01723404267810839,
      0.016992943753363625,
      0.016754969860573968,
      0.01652008050221366,
      0.016288235676102714,
      0.016059395954218913,
      0.015833522213244675,
      0.015610576104918677,
      0.015390519670114521,
      0.015173315469804414,
      0.014958926552965688,
      0.014747309488046385,
      0.014538412536370986,
      0.01433218829986172,
      0.014128593883237112,
      0.013927589727448363,
      0.013729138672168545,
      0.013533205390316215,
      0.013339755880621402,
      0.013148757200871226,
      0.012960177287687046,
      0.012773984811768602,
      0.012590149080399338,
      0.012408640025366282,
      0.012229427932165417,
      0.012052483597081953,
      0.011877778193506015,
      0.01170528327340792,
      0.011534970801952031,
      0.011366813098451323,
      0.011200782874099193,
      0.011036853258537484,
      0.010874997656022147,
      0.01071518986403185,
      0.010557403887561358,
      0.010401614148961532,
      0.010247795349328816,
      0.010095922515565367,
      0.009945971105865392,
      0.009797916805437764,
      0.00965173566004302,
      0.00950740389920188,
      0.009364898097458437,
      0.009224195165192833,
      0.009085272277080617,
      0.008948106915935145,
      0.008812676918152974,
      0.008678960291241511,
      0.008546935318306328,
      0.00841658056187685,
      0.008287875028012327,
      0.008160797797399226,
      0.008035328267973842,
      0.007911446086485543,
      0.007789131183426515,
      0.007668363783058109,
      0.007549124166910719,
      0.007431393041692369,
      0.007315151259956807,
      0.007200380031195588,
      0.007087060771723847,
      0.006975175139993326,
      0.0068647049835915104,
      0.006755632452531397,
      0.006647939891034972,
      0.006541609698074925,
      0.006436624672045164,
      0.006332967841377787,
      0.006230622340494348,
      0.006129571623707415,
      0.006029799304842906,
      0.005931289200963486,
      0.0058340253706934365,
      0.005737991930726032,
      0.005643173413395886,
      0.005549554483271437,
      0.0054571199596665995,
      0.00536585487155456,
      0.005275744386095555,
      0.005186773858538631
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567578773726613,
      10.339525312809734,
      10.1046227697666,
      9.865582341782359,
      9.62465650489768,
      9.38382709655116,
      9.144790554869356,
      8.908959014252387,
      8.677480462155836,
      8.45123012235544,
      8.230815083315875,
      8.016587138600578,
      7.808667782731923,
      7.606980235351381,
      7.411287014669136,
      7.221226676653493,
      7.036350123243175,
      6.856154347589326,
      6.680111401110153,
      6.5076928779147964,
      6.33839175829623,
      6.171739653235022,
      6.007318340647197,
      5.8447736509105885,
      5.6838240028110265,
      5.524260143403984,
      5.365943282174008,
      5.208807724875206,
      5.0528607798469105,
      4.898186392363905,
      4.7449301827482815,
      4.593282373581852,
      4.44348967551274,
      4.29585212480772,
      4.150711253598253,
      4.008445282561913,
      3.869467866762665,
      3.734190364721562,
      3.6030008064524326,
      3.4762535632970426,
      3.3542607842111782,
      3.237285895793897,
      3.1255400837493017,
      3.0191805395849483,
      2.9183083446040095,
      2.822964822648823,
      2.733136075914353,
      2.6487507597583364,
      2.5696849874482752,
      2.495763602416769,
      2.426754634014239,
      2.3624026627800263,
      2.3024276668131214,
      2.246524798899581,
      2.19436011891718,
      2.145556178025294,
      2.0997225564416424,
      2.0565057219196325,
      2.015569765138108,
      1.9765956326662832,
      1.939314122860805,
      1.9035159290971015,
      1.8690373072584738,
      1.835746003520062,
      1.8035306578718278,
      1.7722947643046107,
      1.7419600312926524,
      1.7124627797107137,
      1.6837501443523424,
      1.6557766799111902,
      1.62850031526721,
      1.601884017770456,
      1.575895757654706,
      1.5505072894028566,
      1.5256932857869538,
      1.501430719195814,
      1.47769841379035,
      1.4544767201129978,
      1.4317472760051235,
      1.4094928266815925,
      1.3876970895669285,
      1.3663449003750414,
      1.345422631886845,
      1.3249172047673339,
      1.3048160074852366,
      1.2851073523965832,
      1.2657799909183647,
      1.2468228903511012,
      1.2282253021567267,
      1.209976803425367,
      1.1920673191606515,
      1.1744871303978064,
      1.1572268747290744,
      1.1402775419276623,
      1.1236308516919422,
      1.107279582497547,
      1.0912169841246204,
      1.0754363625478227,
      1.0599309418203042,
      1.0446939702196976,
      1.0297187897109343,
      1.0149988803631254,
      1.000527888216533,
      0.9862996408481104,
      0.9723081544029399,
      0.9585481605959915,
      0.9450154389254284,
      0.931705644225576,
      0.9186142301321288,
      0.9057365651523566,
      0.8930680102572455,
      0.8806039700771575,
      0.868339925613952,
      0.8562714546178161,
      0.8443942442223408,
      0.8327042728395329,
      0.8211988420517101,
      0.809875577522788,
      0.7987316540121345,
      0.7877639790895559,
      0.7769693139585728,
      0.766344333141907,
      0.7558855784592984,
      0.7455896076356768,
      0.7354530832994841,
      0.7254727675273137,
      0.7156455172329934,
      0.7059682806806313,
      0.6964380934724028,
      0.6870520746733775,
      0.6778074239630009,
      0.6687012125621439,
      0.6597300157207993,
      0.6508906081082485,
      0.6421800612784493,
      0.6335956689196789,
      0.6251348945042041,
      0.616795335006435,
      0.6085746956982915,
      0.6004707722320374,
      0.5924814376620414,
      0.5846046333954495,
      0.5768383621796929,
      0.5691806827926317,
      0.5616297063588409,
      0.5541835929740923,
      0.5468405492265209,
      0.5395988257058061,
      0.5324567150653448,
      0.525412550567087,
      0.5184647045827522,
      0.5116115870328988,
      0.5048516440492693,
      0.4981833569173239,
      0.49160524107683357,
      0.48511584465215146,
      0.47871374758535656,
      0.47239756063974797,
      0.4661659245843648,
      0.46001750928415913,
      0.4539510125996684,
      0.447965159658149,
      0.4420587021449142,
      0.4362304173647142,
      0.4304791076102452,
      0.4248035995871647,
      0.41920274361965704,
      0.41367541271529606,
      0.40822050220415296,
      0.4028369292428504,
      0.3975236320594087,
      0.3922795692465884,
      0.3871037193853246,
      0.38199508046649744,
      0.37695266946927475,
      0.3719755216154938,
      0.36706268546060045,
      0.36221301568411524,
      0.3574252794982483,
      0.3526983697316885,
      0.34803127005794177,
      0.34342303103553706,
      0.3388727539207116,
      0.3343795789646779,
      0.3299426776103829,
      0.3255612466416809,
      0.32123450434234246,
      0.31696168767416016,
      0.3127420502365673,
      0.3085748606847057,
      0.30445940192032755,
      0.3003949699214431,
      0.2963808731760193,
      0.2924165318472259,
      0.2885014864018137,
      0.28463523314584777,
      0.2808172252201805,
      0.27704688952153517,
      0.2733236377551385,
      0.26964712145384545,
      0.26601764543003914,
      0.26243549329359844,
      0.25890081126697284,
      0.25541357607999676,
      0.25197355067254484,
      0.24858035698306785,
      0.24523352497955597,
      0.24193252570998164,
      0.2386767936867707,
      0.23546574215023078,
      0.23229877298654586,
      0.22917528367906825,
      0.22609467163829594,
      0.22305633755621787,
      0.22005967876928664,
      0.21710403160968356,
      0.2141887248794444,
      0.21131312772718472,
      0.20847663909175518,
      0.20567868087250823,
      0.2029186930914159,
      0.2001961305591187,
      0.19751046068915523,
      0.19486116194389808,
      0.19224772274202176,
      0.18966964039070744,
      0.18712642076453329,
      0.1846175777761078,
      0.18214263303160083,
      0.17970111560642532,
      0.17729256168607735,
      0.17491651454260898,
      0.17257252433735695,
      0.1702601478455744,
      0.16797894852200407,
      0.16572849630982311,
      0.16350836736465788,
      0.16131814409972178,
      0.15915741504434738,
      0.15702577471820106,
      0.15492282360473694,
      0.1528481679753356,
      0.15080141980577288,
      0.14878219667026987,
      0.1467901216639028,
      0.1448248232834134,
      0.14288593538085928,
      0.14097309704975625,
      0.13908595260926535,
      0.13722415140649444,
      0.13538734776736325,
      0.1335752009876101,
      0.13178737525603787,
      0.13002353936373795,
      0.12828336693589898,
      0.12656653618244096,
      0.12487272986664102,
      0.12320163519201531,
      0.12155294389450477,
      0.11992635184597455,
      0.11832155931983282,
      0.11673827080620162,
      0.11517619487261511,
      0.11363504414603827,
      0.11211453534581581,
      0.11061438913953762,
      0.10913433006894516,
      0.10767408650149145,
      0.10623339051790937,
      0.10481197800307869,
      0.10340958852073392,
      0.10202596516224932,
      0.10066085464247017,
      0.09931400719191118,
      0.09798517649260917,
      0.09667411956181149,
      0.09538059687010608,
      0.09410437216592961,
      0.09284521237493858,
      0.09160288761225135,
      0.09037717126934519,
      0.08916783973051386,
      0.08797467256453759,
      0.08679745230738829,
      0.08563596454810132,
      0.08448999770718534,
      0.0833593431116899,
      0.08224379498469585,
      0.08114315042009988,
      0.08005720922415593,
      0.07898577388448272,
      0.07792864963174,
      0.07688564431969107,
      0.07585656839798084,
      0.07484123497027462,
      0.07383945967765752,
      0.07285106061666735,
      0.07187585842213891,
      0.0709136761780466,
      0.06996433921613783,
      0.06902767539705404,
      0.0681035148693676,
      0.06719168998973893,
      0.06629203557873092,
      0.06540438863231414,
      0.06452858827362594,
      0.06366447588753513,
      0.06281189488803542,
      0.06197069096450455,
      0.06114071173113208,
      0.060321806950582486,
      0.059513821347342725,
      0.05871658922109758,
      0.057929951106776886,
      0.057153754926514366,
      0.0563878543457607,
      0.055632107383302654,
      0.05488637552164496,
      0.05415052339360815,
      0.05342441810550648,
      0.05270792914214184,
      0.05200092816030986,
      0.05130328866608513,
      0.05061488610350234,
      0.04993559762571285,
      0.04926530223882805,
      0.0486038805038663,
      0.0479512145886058,
      0.04730718829649723,
      0.046671686974739814,
      0.046044597609576104,
      0.045425808641413136,
      0.04481520994793606,
      0.044212692899205264,
      0.04361815032325395,
      0.04303147651215605,
      0.042452567170022985,
      0.0418813193983644,
      0.04131763164838875,
      0.040761403713674975,
      0.04021253673437347,
      0.03967093313943304,
      0.03913649667373426,
      0.03860913234732391,
      0.03808874647859632,
      0.03757524656112576,
      0.037068541434258556,
      0.03656854103250498,
      0.036075156520717536,
      0.03558830036423532,
      0.03510788602858441,
      0.03463382819211128,
      0.03416602624419705,
      0.03370436310762056,
      0.03324873200855913,
      0.032799036078210914,
      0.03235518544923296,
      0.031917095607510625,
      0.0314846857800614,
      0.031057878184006318,
      0.030636597407715436,
      0.03022076985216482,
      0.029810323567427733,
      0.029405187961898005,
      0.02900529356135464,
      0.028610572042613733,
      0.028220956265428268,
      0.02783638053117602,
      0.02745678294711489,
      0.02708210234375314,
      0.026712277272771486,
      0.02634724633278472,
      0.025986948418841898,
      0.025631322865105794,
      0.025280309550840624,
      0.02493384900872329,
      0.024591882363627453,
      0.02425435147140603,
      0.02392119896456595,
      0.023592368091437735,
      0.02326780280562397,
      0.022947447731031204,
      0.02263124826319881,
      0.022319150463397514,
      0.02201110110201967,
      0.021707047628145106,
      0.02140693814823386,
      0.021110721583793148,
      0.020818347484034553,
      0.020529765941154403,
      0.020244927703373227,
      0.019963784223594214,
      0.01968628754565178,
      0.019412390313605195,
      0.019142045853158048,
      0.01887520807153499,
      0.01861183148051589,
      0.01835187118354801,
      0.01809528281403535,
      0.01784202261612603,
      0.01759204741310554,
      0.01734531460362297,
      0.017101782121712514,
      0.016861408392839675,
      0.01662415242544158,
      0.016389973790086835,
      0.016158832600959797,
      0.015930689435773242,
      0.015705505397576643,
      0.015483242114715698,
      0.015263861660475239,
      0.01504732664610391,
      0.014833600169576062,
      0.014622645766280333,
      0.014414427577707487,
      0.014208909924631837,
      0.014006047722991922,
      0.013805791082129707,
      0.013608095751212617,
      0.013412921424582844,
      0.013220230674147947,
      0.013029988249527325,
      0.012842160551610126,
      0.01265671515112994,
      0.012473620597837584,
      0.012292846297117686,
      0.012114362154680697,
      0.011938138643158135,
      0.011764146959550316,
      0.011592358632341392,
      0.011422745639012773,
      0.011255280340564066,
      0.01108993550029434,
      0.010926684246814186,
      0.010765499936965468,
      0.01060635631204231,
      0.010449227534655185,
      0.010294088087471816,
      0.01014091287653768,
      0.009989676967458326,
      0.00984035577386541,
      0.009692925062665553,
      0.009547360878053485,
      0.009403639631996173,
      0.009261738030740646,
      0.009121632996071645,
      0.0089833017720401,
      0.008846721880173465,
      0.008711871183919192,
      0.00857872775082428,
      0.008447269900178567,
      0.008317476346826901,
      0.008189325977697505,
      0.008062798131614068,
      0.007937872193702252,
      0.007814527934439791,
      0.007692745232838648,
      0.007572504290316495,
      0.007453785603866708,
      0.007336569940285682,
      0.007220838305175302,
      0.007106571938546053,
      0.006993752190251405,
      0.006882360790281181,
      0.006772379605156494,
      0.0066637907577220355,
      0.00655657668422172,
      0.0064507200208259235,
      0.006346203554519028,
      0.006243010238304207,
      0.006141123315015341,
      0.0060405263216065045,
      0.005941202941764214,
      0.00584313703099353,
      0.005746312661339074,
      0.005650714103445819,
      0.005556325892004951,
      0.005463132669620168,
      0.005371119317394911,
      0.005280270870882301,
      0.005190572581066375,
      0.005102009875435531
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567570225802045,
      10.339497554633573,
      10.104568422428056,
      9.865496794155622,
      9.624536848451049,
      9.383671838644522,
      9.144599575233965,
      8.908732637522798,
      8.677219076439913,
      8.45093436833438,
      8.230485779172824,
      8.016225107614224,
      7.808273705324325,
      7.606554561328038,
      7.410830001712842,
      7.220738408277034,
      7.035830533800151,
      6.855603265023478,
      6.6795286457642575,
      6.507078286867485,
      6.337745225644975,
      6.171061196940278,
      6.006608289450399,
      5.844032726214974,
      5.683053203838256,
      5.52346080936904,
      5.365117126535845,
      5.207956907634371,
      5.051987895261023,
      4.897294446653781,
      4.744022584484984,
      4.592363082334155,
      4.4425629664900725,
      4.294922524495702,
      4.149783486239095,
      4.007524596537144,
      3.8685597908329172,
      3.7333001325318103,
      3.6021332675677256,
      3.4754131036917313,
      3.3534512622327513,
      3.236510594257404,
      3.1248016599708093,
      3.018481032886624,
      2.9176490800851425,
      2.8223463415442196,
      2.7325582582004926,
      2.6482125234201686,
      2.5691843339514966,
      2.4952977494270967,
      2.4263204066812,
      2.3619968539660685,
      2.3020468438670854,
      2.246165273101836,
      2.194017988833944,
      2.1452271410645483,
      2.0994026455583423,
      2.0561914458659873,
      2.0152578830558308,
      1.9762834056667145,
      1.938999484305958,
      1.9031973657248753,
      1.8687137168737333,
      1.835416592619017,
      1.8031947729739284,
      1.7719519344672001,
      1.741609970927298,
      1.712105336701162,
      1.6833852612498588,
      1.6554043831964427,
      1.6281207028711424,
      1.6014972074105231,
      1.5755018796342473,
      1.5501064821274286,
      1.5252856924241163,
      1.5010164847668375,
      1.4772776833534647,
      1.454049637882819,
      1.4313139838787676,
      1.4090534646596846,
      1.3872517947596157,
      1.3658938259524283,
      1.3449659312022437,
      1.3244550208785846,
      1.3043484935432017,
      1.2846346815181513,
      1.265302316424002,
      1.2463403510513384,
      1.2277380262880877,
      1.2094849110833217,
      1.1915709238373016,
      1.1739863408949016,
      1.156721795868167,
      1.1397682745134399,
      1.1231175231150639,
      1.1067623271877962,
      1.090695933103067,
      1.0749116331927584,
      1.0594026413162434,
      1.0441621979865385,
      1.0291836394748877,
      1.0144604417701597,
      0.9999862474295488,
      0.9857548811446457,
      0.971760356875522,
      0.9579975715221202,
      0.9444623202933592,
      0.9311501959886604,
      0.9180566091921245,
      0.9051768987132416,
      0.8925064049466738,
      0.8800405179716579,
      0.8677747085015567,
      0.8557045470141786,
      0.8438257153000848,
      0.8321343216525353,
      0.8206278545653957,
      0.8093038275156095,
      0.7981593400894467,
      0.7871912485073995,
      0.7763962791911779,
      0.7657711045273836,
      0.7553123161181425,
      0.7450164446999965,
      0.7348801193040634,
      0.7249000794983821,
      0.7150731670448999,
      0.7053963196402292,
      0.6958665654152324,
      0.6864810185213164,
      0.6772368750893292,
      0.668131219091036,
      0.6591606468610227,
      0.6503219192764692,
      0.6416120987954538,
      0.6330284725301267,
      0.6245684995639017,
      0.6162297735030299,
      0.6080099973823566,
      0.5999069651986341,
      0.591918549098753,
      0.5840426894298364,
      0.5762773881236739,
      0.5686207035812924,
      0.5610707462946383,
      0.5536256757672734,
      0.5462836979265923,
      0.5390430629802523,
      0.531902063394786,
      0.5248590320270526,
      0.517912340771291,
      0.5110603991687838,
      0.5043016531906074,
      0.49763458369112795,
      0.49105770550350125,
      0.48456956644629673,
      0.4781687460434724,
      0.4718538547760722,
      0.46562353313359445,
      0.4594764504189464,
      0.4534113040230772,
      0.44742681871537604,
      0.4415217458022495,
      0.43569486228488424,
      0.42994497019681877,
      0.4242708957697509,
      0.41867148878590393,
      0.4131456220700322,
      0.4076921906655823,
      0.40231011128348687,
      0.39699832171982474,
      0.39175578022041874,
      0.38658146494692136,
      0.3814743736227134,
      0.3764335227508124,
      0.3714579472194198,
      0.3665466811977275,
      0.36169855881685054,
      0.3569123584020865,
      0.35218698049768393,
      0.3475214137346043,
      0.3429147120818314,
      0.33836597896093795,
      0.3338743560706643,
      0.3294390156624571,
      0.32505915509727534,
      0.3207339928899676,
      0.3164627660130323,
      0.31224472805763653,
      0.30807914768763245,
      0.3039653074465079,
      0.29990250311825817,
      0.29589004287835013,
      0.29192738108280264,
      0.2880140615550498,
      0.2841495676851221,
      0.2803333437980762,
      0.27656481042506376,
      0.2728433765764709,
      0.26916884981546274,
      0.26554158338101697,
      0.2619618543104912,
      0.25842980637434065,
      0.25494534275865155,
      0.25150817674460285,
      0.2481178965255888,
      0.24477400922495493,
      0.24147597052550543,
      0.2382232044754934,
      0.23501511717142756,
      0.23185110557853286,
      0.2287305639150796,
      0.22565288745909254,
      0.22261747530754425,
      0.21962371775583092,
      0.21667094185595495,
      0.21375848098056577,
      0.2108857072536091,
      0.2080520218457242,
      0.2052568479857302,
      0.2024996267373493,
      0.19977981356582702,
      0.1970968763316549,
      0.1944502938771148,
      0.19183955467919006,
      0.18926415617535983,
      0.18672360437833732,
      0.18421741324431307,
      0.18174510439127056,
      0.17930620689893528,
      0.17690025707621262,
      0.17452679815711694,
      0.17218538022963725,
      0.16987556024563155,
      0.16759690166608449,
      0.16534897433946816,
      0.16313135443436352,
      0.16094362440137602,
      0.15878537275443674,
      0.1566561941099116,
      0.15455568900054295,
      0.15248346364825477,
      0.1504391299750772,
      0.14842230561744774,
      0.14643261367627425,
      0.14446968270551996,
      0.1425331465316759,
      0.14062264425385534,
      0.1387378202339541,
      0.13687832376491418,
      0.1350438093452744,
      0.13323393632045388,
      0.13144836886300038,
      0.12968677588479546,
      0.1279488309954729,
      0.12623421239265703,
      0.1245426029124912,
      0.12287368976403334,
      0.12122716467171522,
      0.1196027235993939,
      0.11800006681242256,
      0.11641889883241623,
      0.11485892829128015,
      0.11331986791321079,
      0.11180143448410894,
      0.11030334865652656,
      0.10882533493883045,
      0.10736712178611105,
      0.10592844137987571,
      0.10450902962364352,
      0.10310862613822269,
      0.10172697410406721,
      0.10036382033200233,
      0.0990189150344778,
      0.09769201192022692,
      0.09638286813514615,
      0.09509124415151571,
      0.09381690369430241,
      0.09255961383735063,
      0.09131914476792447,
      0.09009526986732143,
      0.08888776568170016,
      0.08769641176419224,
      0.08652099066732435,
      0.08536128806690695,
      0.08421709248995111,
      0.08308819531975171,
      0.08197439083347424,
      0.08087547614170601,
      0.07979125107451196,
      0.07872151824292253,
      0.07766608295744329,
      0.07662475310229198,
      0.07559733927977456,
      0.07458365468112299,
      0.07358351488140691,
      0.07259673807807981,
      0.0716231449898543,
      0.07066255866902467,
      0.06971480465952151,
      0.06877971084276838,
      0.06785710746400461,
      0.06694682701772534,
      0.06604870430994454,
      0.06516257637947752,
      0.06428828243079962,
      0.0634256638510316,
      0.06257456412364494,
      0.06173482903018291,
      0.060906306344925915,
      0.06008884587110188,
      0.05928229943685077,
      0.05848651912825018,
      0.05770134549386411,
      0.056926618300905195,
      0.05616218558558246,
      0.05540790151868471,
      0.05466362521458088,
      0.05392921954322781,
      0.053204550592985844,
      0.05248948709137723,
      0.05178390010000743,
      0.0510876629410371,
      0.050400650798003335,
      0.04972274077905073,
      0.04905381176122792,
      0.0483937443370241,
      0.04774242077704443,
      0.047099724906827095,
      0.04646554216432783,
      0.04583975954609623,
      0.045222265549681694,
      0.04461295012180593,
      0.04401170477109211,
      0.04341842245773567,
      0.0428329974824141,
      0.042255325634768366,
      0.041685304035742686,
      0.041122831277859484,
      0.04056780726229404,
      0.040020133162212264,
      0.03947971150834115,
      0.03894644611461347,
      0.03842024204984675,
      0.03790100570348044,
      0.03738864466544903,
      0.036883067839862574,
      0.036384185277151634,
      0.03589190834169177,
      0.03540614944537642,
      0.03492682212261232,
      0.03445384112538536,
      0.03398712232902121,
      0.03352656384331861,
      0.03307205007480605,
      0.03262347678410333,
      0.03218074912042648,
      0.03174377904722269,
      0.031312483538574826,
      0.030886783323060506,
      0.030466601833001285,
      0.030051864806644957,
      0.029642499835758486,
      0.029238436139934,
      0.028839604076659163,
      0.028445935247711267,
      0.028057362266506125,
      0.027673819521954142,
      0.02729524497630521,
      0.026921577575336544,
      0.026552755903228628,
      0.02618871861637682,
      0.02582940482051353,
      0.025474753889586654,
      0.02512470575659884,
      0.024779201015549732,
      0.02443818093070116,
      0.02410158744196263,
      0.023769363147616403,
      0.023441451403860888,
      0.023117796249501183,
      0.022798342441203438,
      0.022483035485246387,
      0.02217182149414072,
      0.02186464734448716,
      0.021561460634452047,
      0.02126220950371138,
      0.02096684284394674,
      0.020675310257716205,
      0.02038756195629942,
      0.020103548742893634,
      0.019823222156833898,
      0.019546534315613418,
      0.019273437930873924,
      0.019003886332899053,
      0.018737833625022043,
      0.01847523438904971,
      0.018216043761927904,
      0.017960217482418512,
      0.017707711749460904,
      0.017458483476653075,
      0.01721249013612266,
      0.016969689731694992,
      0.016730040825181664,
      0.01649350242475912,
      0.01626003421865003,
      0.016029596423400325,
      0.01580214964709332,
      0.015577655059241165,
      0.015356074270374607,
      0.015137369404103741,
      0.014921503228501465,
      0.014708438863725262,
      0.014498139993779897,
      0.01429057071123971,
      0.014085695541824962,
      0.01388347942615721,
      0.013683887881318968,
      0.013486885848173601,
      0.013292428744596437,
      0.013100469388609003,
      0.01291096582766201,
      0.012723879761503392,
      0.012539175456968189,
      0.012356819334521757,
      0.012176779270394334,
      0.011999024152574434,
      0.011823523866995674,
      0.011650249026691454,
      0.011479170843867952,
      0.011310261131467526,
      0.011143492154418039,
      0.010978836495356387,
      0.010816267284296048,
      0.010655758016723898,
      0.010497282521252852,
      0.01034081503915715,
      0.010186330129465168,
      0.010033802576316208,
      0.009883207570058677,
      0.009734520622564233,
      0.009587717528302717,
      0.009442774390254285,
      0.009299667602561205,
      0.009158373929579858,
      0.009018870357364985,
      0.008881134251628812,
      0.008745143211513724,
      0.008610875134439458,
      0.008478308154779974,
      0.008347420755203127,
      0.008218191714186866,
      0.00809060002261067,
      0.007964624858535151,
      0.007840245759969973,
      0.007717442525556556,
      0.007596195128734632,
      0.007476483887497616,
      0.007358289374264601,
      0.007241592218698301,
      0.007126373566164574,
      0.007012614723789099,
      0.006900297138000751,
      0.006789402582510225,
      0.006679913003962769,
      0.006571810635663803,
      0.006465077896056787,
      0.006359697402409662,
      0.006255651978883626,
      0.006152924729130903,
      0.006051498912503183,
      0.0059513580884547924,
      0.005852485994905038,
      0.005754866636780156,
      0.005658484038875129,
      0.0055633225520987095,
      0.005469366741152352,
      0.0053766012857449745,
      0.005285011194201868,
      0.005194581438906352,
      0.005105297355596027,
      0.005017144439394115
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567561679810103,
      10.339469793860765,
      10.10451405162529,
      9.865411183602939,
      9.624417069967835,
      9.383516382170129,
      9.144408300675543,
      8.908505853540522,
      8.676957157058899,
      8.450637943872122,
      8.230155660542072,
      8.015862111678983,
      7.807878492295241,
      7.6061275643316035,
      7.410371478870535,
      7.2202484444648505,
      7.035309065900395,
      6.8550501228142595,
      6.678943649838357,
      6.506461275435441,
      6.337096093358095,
      6.170379962522772,
      6.00589528269244,
      5.843288669484583,
      5.682279097173436,
      5.5226579936662885,
      5.364287318254505,
      5.207102270459104,
      5.051111028215082,
      4.8963983625043825,
      4.743110698728205,
      4.5914393625472165,
      4.4416316979481145,
      4.293988245471546,
      4.148850934467339,
      4.0065990346865314,
      3.8676467631915066,
      3.7324048894969377,
      3.6012606742971878,
      3.474567561860757,
      3.3526366441188404,
      3.235730195827259,
      3.1240581504149048,
      3.0177764623732752,
      2.9169847841268357,
      2.8217228701623616,
      2.731975399240126,
      2.647669156434085,
      2.5686784870407324,
      2.494826666807849,
      2.4258809386915012,
      2.3615858167356367,
      2.3016607660003423,
      2.2458004202187376,
      2.193670478344938,
      2.1448927109268365,
      2.0990773638106464,
      2.055871847104999,
      2.0149407409572455,
      1.9759659940680345,
      1.9386797530882185,
      1.9028738124709006,
      1.8683852460847215,
      1.8350824148723157,
      1.8028542353512016,
      1.7716045643040976,
      1.74125548080675,
      1.7117435717969858,
      1.6830161616282358,
      1.655027972147889,
      1.6277370748732827,
      1.601106476904404,
      1.5751041744144696,
      1.5497019380233323,
      1.5248744500892235,
      1.5005986870004644,
      1.4768534728513487,
      1.4536191561259446,
      1.4308773706991356,
      1.408610857258326,
      1.3868033274950597,
      1.365439650327116,
      1.344506197663634,
      1.3239898705439874,
      1.3038780780441566,
      1.284159172126055,
      1.264821864860927,
      1.2458550945355649,
      1.2272480916356012,
      1.2089904170506687,
      1.1910719825184033,
      1.1734830592884016,
      1.1562142771565442,
      1.13925661869668,
      1.122601856249202,
      1.1062427824572394,
      1.0901726403803547,
      1.0743847089647702,
      1.0588721915816306,
      1.0436283211483053,
      1.0286464283671741,
      1.0139199849219653,
      0.9994426301758006,
      0.9852081857714153,
      0.9712106633251605,
      0.9574451252758553,
      0.9439073830042031,
      0.9305929671816316,
      0.9174972455072318,
      0.9046155269591127,
      0.8919431311251117,
      0.879475433407996,
      0.8672078943645831,
      0.8551360772851664,
      0.843255658450067,
      0.831562924982873,
      0.820055486801877,
      0.8087307510391822,
      0.7975857456762685,
      0.7866172779149172,
      0.7758220407991614,
      0.7651966836472163,
      0.754737841323569,
      0.7444420655085257,
      0.7343059464582432,
      0.7243261969837063,
      0.7144996409180041,
      0.7048232036445748,
      0.6952939051295268,
      0.6859088540769233,
      0.6766652426677782,
      0.6675601670499809,
      0.6585902442481943,
      0.6497522212343515,
      0.6410431510545935,
      0.6324603145141446,
      0.6240011660676575,
      0.6156632965789894,
      0.6074444065814405,
      0.5993422884334172,
      0.5913548129845227,
      0.5834799197166599,
      0.5757156097116461,
      0.5680599408317656,
      0.5605110230273685,
      0.553067015352189,
      0.5457261234175098,
      0.5384865969624106,
      0.5313467277734354,
      0.5243048484186807,
      0.5173593304300226,
      0.5105085830842089,
      0.5037510518738738,
      0.4970852173357811,
      0.4905095939615136,
      0.48402272919832295,
      0.4776232022132808,
      0.4713096231134264,
      0.46508063188954596,
      0.4589348974944479,
      0.45287111706077854,
      0.4468880150080807,
      0.4409843421449807,
      0.4351588752532395,
      0.42941041593705115,
      0.4237377899105417,
      0.41813984672594284,
      0.41261545885368056,
      0.40716352092998026,
      0.4017829492766588,
      0.3964726812375012,
      0.39123167466500025,
      0.3860589075086003,
      0.38095337707496213,
      0.37591409954620364,
      0.3709401096320982,
      0.3660304267625859,
      0.36118386467494523,
      0.35639921288571963,
      0.3516753792746751,
      0.34701135763397645,
      0.3424062052788746,
      0.3378590279602889,
      0.3333689688351969,
      0.32893520096135337,
      0.32455692214715703,
      0.32023335122428986,
      0.3159637253118127,
      0.31174729792500794,
      0.3075833374650155,
      0.303471126327941,
      0.2994099601358566,
      0.29539916300847013,
      0.29143821543957543,
      0.28752664815782963,
      0.28366393442561294,
      0.27984951136213904,
      0.2760827944610248,
      0.27236324952970314,
      0.2686908133647876,
      0.2650658366891329,
      0.26148862548319163,
      0.25795927566188903,
      0.2544776269346191,
      0.25104334949329776,
      0.24765600248357275,
      0.24431507324258828,
      0.24102000395213566,
      0.23777020963611786,
      0.2345650902428058,
      0.23140403844797655,
      0.22828644558861577,
      0.22521170508810295,
      0.2221792148506361,
      0.21918835809815976,
      0.21623845275942008,
      0.21332883697161167,
      0.21045888600225432,
      0.20762800298928188,
      0.20483561268403516,
      0.20208115710480568,
      0.19936409239865216,
      0.19668388688726662,
      0.19404001955223305,
      0.1914319791198464,
      0.18885926322131313,
      0.18632137798165446,
      0.18381783734906543,
      0.18134816310494645,
      0.1789118842562728,
      0.1765085370943287,
      0.17413766491514773,
      0.17179881794765392,
      0.16949155305787583,
      0.16721543366674488,
      0.164970029614375,
      0.1627549171430957,
      0.16056967874424294,
      0.15841390300883837,
      0.1562871845200117,
      0.1541891236977743,
      0.15211932684439966,
      0.15007740598967892,
      0.14806297870754873,
      0.1460756681644792,
      0.14411510289778734,
      0.1421809167616284,
      0.14027274893306718,
      0.13839024372373676,
      0.13653305061649634,
      0.1347008240059138,
      0.13289322326475175,
      0.13110991255214413,
      0.12935056082070157,
      0.12761484163477257,
      0.12590243326346318,
      0.12421301861661004,
      0.12254628498560695,
      0.12090192408998925,
      0.11927963197966472,
      0.11767910893125799,
      0.11610005954266785,
      0.11454219247250201,
      0.1130052204407796,
      0.11148886024921088,
      0.10999283266843315,
      0.10851686220455838,
      0.10706067741286258,
      0.1056240105055159,
      0.10420659741054078,
      0.10280817782431996,
      0.10142849497777753,
      0.10006729567511465,
      0.09872433022392144,
      0.09739935242165743,
      0.09609211941419446,
      0.09480239171203733,
      0.09352993307182954,
      0.0922745106626225,
      0.09103589483697813,
      0.08981385901464127,
      0.08860817975538213,
      0.08741863668351264,
      0.08624501244866059,
      0.08508709259548529,
      0.0839446658316327,
      0.08281752365155763,
      0.08170546040942023,
      0.08060827324299534,
      0.07952576208381858,
      0.07845772959782704,
      0.0774039810023903,
      0.0763643243693577,
      0.07533857028006766,
      0.07432653204632281,
      0.07332802533331963,
      0.07234286839895877,
      0.07137088201791845,
      0.07041188936111561,
      0.06946571603000709,
      0.06853218999165596,
      0.0676111414781478,
      0.06670240305924835,
      0.06580580958757239,
      0.06492119816424313,
      0.0640484081388393,
      0.0631872809327374,
      0.06233766020115028,
      0.06149939161224697,
      0.06067232306296964,
      0.05985630452802898,
      0.05905118790391627,
      0.05825682708888535,
      0.05747307798473378,
      0.05669979052521864,
      0.0559368056941456,
      0.055183971036630405,
      0.05444114107113595,
      0.05370817563210404,
      0.0529849386497282,
      0.052271297501833264,
      0.051567122410913345,
      0.05087228601417151,
      0.050186663181299364,
      0.04951013079961949,
      0.0488425675728364,
      0.04818385405291399,
      0.04753387240847039,
      0.04689250655559558,
      0.046259641913555145,
      0.0456351656052807,
      0.04501896619031692,
      0.04441093359079758,
      0.043810959414264224,
      0.04321893675129294,
      0.04263475996300174,
      0.04205832489038935,
      0.04148952890658388,
      0.04092827058738122,
      0.040374449844268065,
      0.03982796790336684,
      0.039288727439022175,
      0.03875663241727477,
      0.038231587963275915,
      0.03771350056059276,
      0.037202277794715695,
      0.03669782878485876,
      0.03620006367972267,
      0.035708893691926945,
      0.03522423140363528,
      0.03474599037428543,
      0.03427408551271878,
      0.033808432808456024,
      0.033348949369501266,
      0.03289553246791422,
      0.03244806799750382,
      0.032006454069739176,
      0.0315705977604019,
      0.031140412701879287,
      0.030715817212873142,
      0.030296733355857197,
      0.029883085923300034,
      0.029474801679327964,
      0.029071809452130642,
      0.028674039349880952,
      0.028281422812092387,
      0.027893892474916974,
      0.02751138257851805,
      0.027133831137083304,
      0.026761177091223037,
      0.026393359058103086,
      0.02603031577210492,
      0.025671986379277402,
      0.02531831029457859,
      0.02496922760746063,
      0.024624678942577295,
      0.024284605672822486,
      0.023948949766047688,
      0.02361765398417014,
      0.023290661697191045,
      0.022967917049456343,
      0.02264936484288905,
      0.022334950562404747,
      0.02202462052513206,
      0.021718321600003466,
      0.021416001426105533,
      0.0211176083537161,
      0.02082309138837025,
      0.020532400099206462,
      0.020245484758566402,
      0.019962296274324085,
      0.019682786264819636,
      0.01940690697731703,
      0.01913461121545253,
      0.01886585240867717,
      0.018600584633462536,
      0.01833876250943982,
      0.018080341295283485,
      0.01782527675132531,
      0.017573525246176995,
      0.017325043700184332,
      0.017079789639142345,
      0.016837721142260276,
      0.01659879684979845,
      0.01636297583239564,
      0.01613021783804535,
      0.015900483038586218,
      0.015673732249005184,
      0.015449926678336712,
      0.015229028012980622,
      0.015010998489014462,
      0.014795800807694047,
      0.01458339821837391,
      0.014373754361430154,
      0.014166833469345094,
      0.013962600156274848,
      0.013761019451257989,
      0.013562056947103069,
      0.013365678608298261,
      0.01317185086654562,
      0.012980540698851005,
      0.01279171422644643,
      0.012605328484766956,
      0.012421338302192615,
      0.012239703475712323,
      0.012060387302359357,
      0.011883355525754915,
      0.011708575966517192,
      0.011536017753608142,
      0.01136565112057559,
      0.011197447148979783,
      0.011031377578521904,
      0.010867414817041031,
      0.010705531806827805,
      0.01054570194884037,
      0.010387898975092319,
      0.010232097106572025,
      0.010078270900270253,
      0.009926395219371682,
      0.009776445268278413,
      0.00962839655883066,
      0.00948222503690873,
      0.009337906784412719,
      0.009195418345415627,
      0.009054736500329725,
      0.008915838276708781,
      0.00877870111989977,
      0.008643302785326327,
      0.008509621225912891,
      0.008377634562672267,
      0.008247321387049374,
      0.008118660415902352,
      0.007991630643471989,
      0.007866211487857962,
      0.0077423825449057845,
      0.007620123679878014,
      0.0074994148975474325,
      0.007380236499088824,
      0.007262569151036133,
      0.0071463937076717355,
      0.007031691224903198,
      0.006918442968560187,
      0.006806630640044561,
      0.006696235954342209,
      0.006587240950146784,
      0.006479627830245397,
      0.006373379088889295,
      0.006268477443040322,
      0.00616490573907842,
      0.006062647184500697,
      0.005961685161037802,
      0.005862003197728119,
      0.005763585116207947,
      0.0056664148651438375,
      0.005570476673867865,
      0.005475754875847377,
      0.005382233999787471,
      0.005289898766142284,
      0.005198734205435093,
      0.005108725452876059,
      0.005019857906593763,
      0.004932117062110323
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567553137072801,
      10.33944211136689,
      10.104459803627584,
      9.865325708269493,
      9.624297403707972,
      9.383360988624963,
      9.144217021933827,
      8.908278982090188,
      8.67669505173169,
      8.450341222762383,
      8.229825117625492,
      8.015498557275091,
      7.80748258290423,
      7.6056997292736765,
      7.409911973609602,
      7.219757351569969,
      7.034786320088196,
      6.854495550947755,
      6.678357071193868,
      6.505842527632806,
      6.336445070574227,
      6.16969668363491,
      6.005180078369256,
      5.842542263172429,
      5.681502491137147,
      5.521852530719947,
      5.363454717651004,
      5.206244699093604,
      5.050231089671274,
      4.895499075281215,
      4.742195483717136,
      4.590512192031418,
      4.440696863085415,
      4.293050292374806,
      4.147914615961155,
      4.005669630209492,
      3.8667298277317723,
      3.7315056835168803,
      3.600384074044607,
      3.473717978511708,
      3.3518179597354356,
      3.2349457163027484,
      3.12331055458134,
      3.017067809461701,
      2.916316417563028,
      2.82109534802168,
      2.7313885180664736,
      2.647121803411965,
      2.568168697687539,
      2.494351691736465,
      2.4254376345077078,
      2.3611710056968924,
      2.3012709658135426,
      2.2454318836297382,
      2.1933193289648405,
      2.1445546975883127,
      2.098748563015907,
      2.0555487726669543,
      2.0146201405292907,
      1.975645151872002,
      1.9383566370915337,
      1.9025469328188591,
      1.8680535157966753,
      1.8347450497508133,
      1.8025105858793307,
      1.7712541598248766,
      1.7408980344388967,
      1.7113789289226362,
      1.6826442617620674,
      1.6546488374975945,
      1.6273507980216502,
      1.600713170067391,
      1.5747039632101656,
      1.549294956428994,
      1.5244608364881598,
      1.5001785816754347,
      1.4764270164144122,
      1.4531864885260013,
      1.430438630295123,
      1.4081661798017233,
      1.386352846238196,
      1.3649835154636911,
      1.3440445592114545,
      1.323522868251638,
      1.3034058635874335,
      1.2836819146846679,
      1.2643397143814594,
      1.2453681869899063,
      1.2267565522158064,
      1.208494362876453,
      1.1905715250585975,
      1.172978304614092,
      1.1557053273293083,
      1.138743572409066,
      1.1220848386797182,
      1.1057219267048353,
      1.0896480759633254,
      1.073856551193774,
      1.0583405456822337,
      1.0430932852609056,
      1.028108094968993,
      1.0133784417393166,
      0.9988979614518037,
      0.9846604734323416,
      0.9706600392132165,
      0.956891861033931,
      0.9433517135983465,
      0.9300350737016244,
      0.9169372716279831,
      0.9040535904954135,
      0.8913793317171349,
      0.8789098579286571,
      0.8666406207200397,
      0.8545671769716282,
      0.8426851985339594,
      0.8309912260339464,
      0.8194828910070424,
      0.8081575032038727,
      0.7970120243945639,
      0.7860432168042529,
      0.7752477423925848,
      0.7646222292307334,
      0.7541633158173084,
      0.7438676119836309,
      0.7337316891406865,
      0.7237522292513504,
      0.7139260351989093,
      0.7042500183237441,
      0.694721188889519,
      0.6853366487268918,
      0.6760935854607544,
      0.6669891068889796,
      0.6580198503301772,
      0.6491825488630728,
      0.6404742460080974,
      0.6318922159975758,
      0.6234339088499052,
      0.6150969121155969,
      0.6068789243489217,
      0.5987777362829598,
      0.5907912173058514,
      0.5829173058695399,
      0.5751540025238593,
      0.5674993644523842,
      0.5599515009749718,
      0.5525085708849817,
      0.5451687792857272,
      0.5379303755602822,
      0.5307916513091613,
      0.523750938467232,
      0.516806608063318,
      0.5099570690449771,
      0.5032007665644042,
      0.4965361807239492,
      0.48996182576027236,
      0.48347624873321576,
      0.4770780284367426,
      0.47076577463828345,
      0.4645381267873725,
      0.45839375354533407,
      0.45233135164123045,
      0.44634964507508235,
      0.44044738441766673,
      0.4346233459312138,
      0.4288763308707727,
      0.4232051647155077,
      0.41760869651061694,
      0.4120857983739714,
      0.4066353645351486,
      0.4012563111045813,
      0.3959475750493401,
      0.390708113903769,
      0.38553690514978567,
      0.38043294572636394,
      0.3753952514417401,
      0.370422856493201,
      0.36551476617667156,
      0.3606697738049433,
      0.35588668002949947,
      0.3511644002892135,
      0.34650193325267215,
      0.3418983396141078,
      0.3373527273844951,
      0.3328642412110421,
      0.328432055065552,
      0.3240553671715916,
      0.3197333966705284,
      0.31546538068109625,
      0.31125057267306094,
      0.30708824092886255,
      0.3029776676757547,
      0.2989181481360785,
      0.29490902411881065,
      0.2909498015389389,
      0.2870399965408019,
      0.2831790722165201,
      0.279366458752113,
      0.2756015666069447,
      0.27188394611959094,
      0.2682136580673596,
      0.26459106014225353,
      0.2610164580005067,
      0.257489867597255,
      0.25401107476874996,
      0.2505797132825972,
      0.24719531750938867,
      0.24385735797826438,
      0.24056526554760788,
      0.23731844755164566,
      0.23411629850350707,
      0.2309582077232599,
      0.2278435642137836,
      0.22477175970679428,
      0.2217421908834274,
      0.2187542299269331,
      0.2158071915627872,
      0.21290041806138973,
      0.21003328749942465,
      0.20720520491657246,
      0.20441559639489054,
      0.20166390485624786,
      0.19894958704067703,
      0.19627211161673122,
      0.1936309579976032,
      0.19102561500659682,
      0.18845558044388352,
      0.18592036040739218,
      0.18341946899037523,
      0.18095242790887595,
      0.1785187662619529,
      0.17611802041181723,
      0.17374973367787488,
      0.1714134562516544,
      0.16910874500163808,
      0.16683516337727702,
      0.1645922812602951,
      0.1623796748322432,
      0.16019692656663287,
      0.15804362511067752,
      0.15591936506903928,
      0.15382374694989775,
      0.15175637695527275,
      0.14971686711177737,
      0.1477048350800682,
      0.14571990394855838,
      0.14376170237333707,
      0.14182986433344807,
      0.13992402899674633,
      0.13804384067738187,
      0.13618894885296862,
      0.13435900793599193,
      0.1325536773339499,
      0.1307726212123301,
      0.12901550860329322,
      0.12728201321095484,
      0.12557181335829215,
      0.12388459179564605,
      0.1222200358922031,
      0.12057783739630075,
      0.11895769238813736,
      0.11735930126501412,
      0.11578236856254119,
      0.11422660308160558,
      0.11269171752005859,
      0.11117742869004231,
      0.10968345736672953,
      0.10820952829636518,
      0.10675537002697412,
      0.10532071480853057,
      0.10390529858197892,
      0.10250886104406964,
      0.10113114554691,
      0.09977189891421698,
      0.09843087151775239,
      0.09710781718109744,
      0.09580249316515099,
      0.09451465996213648,
      0.09324408141206318,
      0.09199052473560287,
      0.09075376032426588,
      0.08953356160501491,
      0.08832970532920979,
      0.08714197112862869,
      0.08597014174985941,
      0.08481400285412216,
      0.0836733430120368,
      0.08254795379431397,
      0.08143762968885586,
      0.0803421678280187,
      0.07926136825924848,
      0.07819503375255399,
      0.07714296966243044,
      0.07610498404977056,
      0.0750808876550495,
      0.07407049373476284,
      0.07307361810398233,
      0.07209007910884671,
      0.07111969747161113,
      0.07016229648128826,
      0.06921770174201086,
      0.06828574129268007,
      0.06736624548087689,
      0.06645904696955335,
      0.06556398068516199,
      0.064680883761606,
      0.06380959554630117,
      0.0629499576399549,
      0.06210181381738813,
      0.06126500984208728,
      0.0604393935901531,
      0.059624815073960405,
      0.05882112623529015,
      0.05802818102882905,
      0.057245835500361136,
      0.05647394757374055,
      0.05571237545909398,
      0.054960966364049256,
      0.054219566619526004,
      0.053488030551352435,
      0.052766218382062045,
      0.05205399487519368,
      0.05135122848655671,
      0.05065779079065956,
      0.04997355593814368,
      0.04929840026297708,
      0.048632202174675586,
      0.04797484206475622,
      0.0473262020587375,
      0.046686166009849046,
      0.0460546194008254,
      0.04543144925512999,
      0.0448165442193993,
      0.04420979451216403,
      0.043611091569960916,
      0.04302032852203237,
      0.042437399930028166,
      0.04186220179467687,
      0.04129463134468926,
      0.040734587263257065,
      0.04018196955094693,
      0.03963667968336552,
      0.039098620281214365,
      0.038567695405105636,
      0.038043810299254036,
      0.03752687149920859,
      0.03701678682359193,
      0.03651346519270346,
      0.036016816887034404,
      0.03552675337853124,
      0.03504318724597386,
      0.03456603229506812,
      0.03409520339360091,
      0.03363061652397604,
      0.03317218890685598,
      0.032719838331395246,
      0.03227346206914408,
      0.03183294793409884,
      0.03139819610119519,
      0.030969115460739077,
      0.030545621128506378,
      0.030127632911882408,
      0.029715074004325454,
      0.029307870242968864,
      0.02890594964077834,
      0.02850924197475787,
      0.028117678457191507,
      0.027731191498612685,
      0.027349715276447775,
      0.026973187688287947,
      0.02660154776161202,
      0.026234734149767455,
      0.025872685642693564,
      0.02551534141722556,
      0.02516264106610609,
      0.02481452461611617,
      0.024470932884861903,
      0.024131807223686113,
      0.02379708972701474,
      0.023466723126552236,
      0.023140650891524266,
      0.022818817229772328,
      0.0225011670603093,
      0.02218764599479173,
      0.02187820041071531,
      0.02157277731783924,
      0.02127132439222406,
      0.020973789994058297,
      0.020680123149736645,
      0.020390273600302912,
      0.0201041917318323,
      0.019821828539978974,
      0.019543135679687504,
      0.019268065434920895,
      0.01899657072246996,
      0.018728605015404097,
      0.01846412242178755,
      0.018203077676484925,
      0.0179454260463697,
      0.017691123409563685,
      0.017440126203237812,
      0.017192391443865317,
      0.016947876685714767,
      0.01670654014728608,
      0.016468340470982626,
      0.016233236917375486,
      0.016001189218142173,
      0.015772157672562015,
      0.015546102972811225,
      0.01532298643155794,
      0.015102769836527901,
      0.014885415567854379,
      0.014670886348919328,
      0.014459145468920973,
      0.01425015670253588,
      0.014043884212540379,
      0.013840292784445837,
      0.013639347542045486,
      0.013441014046098685,
      0.013245258362752655,
      0.013052046924022228,
      0.012861346669778067,
      0.012673125045216746,
      0.012487349764984975,
      0.012303989036507654,
      0.01212301128894002,
      0.011944376393531799,
      0.011768040370783764,
      0.011593964218663952,
      0.011422112423242151,
      0.011252452005322442,
      0.011084951850447337,
      0.010919582217914546,
      0.01075631453514559,
      0.010595121032004927,
      0.01043597451106985,
      0.010278848518253916,
      0.010123717113575155,
      0.009970554724813764,
      0.0098193360979993,
      0.009670036446491195,
      0.009522631258221476,
      0.009377096504889132,
      0.009233408433226696,
      0.00909154352259824,
      0.008951478608990933,
      0.008813190870482573,
      0.008676657744057972,
      0.008541856951543884,
      0.008408766622142237,
      0.008277365041085059,
      0.00814763074905521,
      0.008019542457865363,
      0.007893079323068335,
      0.007768220735156577,
      0.0076449463148961375,
      0.00752323599865809,
      0.007403069883350764,
      0.00728442844737988,
      0.00716729240398291,
      0.007051642644687285,
      0.006937460196085348,
      0.006824726450685345,
      0.006713423042953471,
      0.006603531847294933,
      0.0064950349641355945,
      0.006387914687762411,
      0.006282153494066237,
      0.006177734232780006,
      0.006074639805506898,
      0.005972853429458234,
      0.00587235849516664,
      0.005773138641365418,
      0.005675177684420087,
      0.005578459662812257,
      0.0054829687171955655,
      0.0053886893845788535,
      0.005295606314826219,
      0.00520370435050761,
      0.005112968365404453,
      0.0050233835932746345,
      0.004934935474579147,
      0.0048476095290913585
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567544598200604,
      10.339414659275402,
      10.104405955712675,
      9.865240753641341,
      9.624178337191479,
      9.383206234697537,
      9.144026388606717,
      8.908052731828688,
      8.676433517281225,
      8.450045000687583,
      8.229494953680721,
      8.01513525013872,
      7.807086779821311,
      7.605271853941777,
      7.40945227776583,
      7.219265915938021,
      7.034263079418593,
      6.853940332949563,
      6.677769696045232,
      6.5052228330887525,
      6.335792952029534,
      6.169012161778297,
      6.004463484844794,
      5.841794321994446,
      5.6807242062828935,
      5.521045247193197,
      5.362620157060936,
      5.205385030591767,
      5.049348919114594,
      4.894597425271472,
      4.741277777814667,
      4.589582406136052,
      4.4397592933658805,
      4.29210948950399,
      4.146975341893814,
      4.004737173794579,
      3.865809752371205,
      3.7306032583261444,
      3.599504182844062,
      3.4728650414119446,
      3.350995867472054,
      3.234157782789227,
      3.1225594667634367,
      3.0163556348280247,
      2.9156445076046964,
      2.8204642690314916,
      2.730798074913558,
      2.6465708917354407,
      2.5676553605094043,
      2.493873187854443,
      2.4249908286942854,
      2.3607527285880443,
      2.3008777440218404,
      2.2450599780173204,
      2.192964869589249,
      2.14421343812724,
      2.098416585657625,
      2.0552225721811115,
      2.0142964509526426,
      1.9753212706303853,
      1.9380305416377601,
      1.902217140090095,
      1.8677189438660915,
      1.8344049178317472,
      1.8021642445152493,
      1.7709011378905608,
      1.7405380444372827,
      1.7110118150901936,
      1.682269962215894,
      1.6542673729208814,
      1.6269622592664257,
      1.6003176678408546,
      1.5743016212537102,
      1.548885907155833,
      1.5240452167942846,
      1.4997565304504696,
      1.47599867319153,
      1.4527519918949343,
      1.4299981167360183,
      1.4077197839023443,
      1.3859007002560886,
      1.364525768220225,
      1.3435813589354617,
      1.3230543536670734,
      1.3029322002130443,
      1.2832032652815797,
      1.2638562239979116,
      1.244879987817603,
      1.2262637669431664,
      1.207997107046297,
      1.1900699079707207,
      1.1724724311608588,
      1.1551952984234444,
      1.138229485833391,
      1.1215668187442764,
      1.1052001052289135,
      1.0891225817962997,
      1.0733274991354895,
      1.057808040661665,
      1.0425574244760514,
      1.0275689699227355,
      1.0128361400202537,
      0.9983525671416172,
      0.9841120675638849,
      0.9701087872538052,
      0.9563380513299237,
      0.942795563333484,
      0.9294767516000131,
      0.9163769127659362,
      0.9034913064164422,
      0.8908152176490006,
      0.8783439979801316,
      0.8660730909145451,
      0.8539980474463003,
      0.8421145349074597,
      0.8304193481534505,
      0.8189101398926235,
      0.8075841232709908,
      0.7964381936078593,
      0.7854690680147014,
      0.7746733778396094,
      0.7640477302794672,
      0.7535887489450038,
      0.743293087931293,
      0.7331573490942673,
      0.7231781780212277,
      0.7133523527852352,
      0.7036767677617528,
      0.694148421748947,
      0.6847644088153878,
      0.6755219108938442,
      0.6664180470114408,
      0.6574494746927511,
      0.6486129129358419,
      0.639905395599885,
      0.6313241903115558,
      0.6228667425444621,
      0.6145306367074203,
      0.6063135690649164,
      0.5982133286426438,
      0.5902277837677485,
      0.5823548719839255,
      0.5745925931771607,
      0.5669390035429781,
      0.5593922120209248,
      0.5519503767583722,
      0.5446117025496748,
      0.5373744382640415,
      0.530236875080812,
      0.5231973447522212,
      0.5162542179742723,
      0.5094059031285507,
      0.5026508449936431,
      0.4959875233561346,
      0.48941445208713047,
      0.4829301777227565,
      0.4765332787752954,
      0.4702223646102904,
      0.4639960745053851,
      0.457853076563878,
      0.451792067200658,
      0.4458117700084444,
      0.4399109351537212,
      0.43408833854264456,
      0.42834278109173374,
      0.42267308802997733,
      0.4170781080577306,
      0.41155671277194067,
      0.40610779610685954,
      0.40073027369078396,
      0.3954230821983218,
      0.3901851788530627,
      0.3850155407778946,
      0.3799131644739154,
      0.37487706555873423,
      0.3699062779010035,
      0.3649997921851821,
      0.36015638148281565,
      0.3553748576105208,
      0.35065414336695644,
      0.3459932425293219,
      0.34139121930104993,
      0.33684718370229166,
      0.33236028175861865,
      0.3279296884211665,
      0.32355460248219525,
      0.31923424321518445,
      0.3149678478145906,
      0.3107546696907284,
      0.30659397710757347,
      0.3024850519944403,
      0.2984271893874112,
      0.2944197529182835,
      0.2904622681194289,
      0.2865542369404794,
      0.28269511269934705,
      0.27888431873627934,
      0.2751212622904512,
      0.27140563032453674,
      0.2677375381324635,
      0.26411739300125636,
      0.26054545045238464,
      0.25702165433966206,
      0.25354574160168936,
      0.25011731287589634,
      0.24673588014631684,
      0.24340089872738976,
      0.2401117891111756,
      0.2368679516736479,
      0.23366877635726743,
      0.23051364916044156,
      0.22740195680850325,
      0.22433308966181448,
      0.22130644343356926,
      0.2183213780079238,
      0.2153772066189992,
      0.21247327556311466,
      0.20960896572115348,
      0.20678368408080217,
      0.2039968579239025,
      0.20124793091935567,
      0.19853636043386486,
      0.19586161565615576,
      0.19322317613396237,
      0.190620530947883,
      0.1880531779977127,
      0.18552062353931764,
      0.18302238169054097,
      0.18055797419789907,
      0.17812693018324582,
      0.1757287859209382,
      0.17336308481091384,
      0.17102937702540674,
      0.1687272194849842,
      0.16645617556445547,
      0.1642158152294204,
      0.1620057147443099,
      0.15982545667056983,
      0.15767462945503677,
      0.15555282779775867,
      0.15345965222868152,
      0.15139470905647107,
      0.14935761030802847,
      0.14734797360733853,
      0.14536542210221715,
      0.1434095844002013,
      0.1414800944437688,
      0.13957659144567577,
      0.13769871975063752,
      0.13584612885824732,
      0.1340184732643426,
      0.13221541236790893,
      0.1304366103865952,
      0.1286817363631282,
      0.12695046405288468,
      0.1252424718070931,
      0.12355744244462921,
      0.12189506341151995,
      0.12025502650295015,
      0.11863702776503753,
      0.11704076768944155,
      0.1154659508627477,
      0.11391228600427476,
      0.11237948598546621,
      0.11086726759549412,
      0.10937535170782427,
      0.10790346304032196,
      0.10645133023996527,
      0.10501868554143956,
      0.10360526508021475,
      0.10221080851898053,
      0.1008350591758838,
      0.09947776404388811,
      0.09813867354958034,
      0.09681754147600816,
      0.09551412506242983,
      0.0942281849886408,
      0.09295948518683843,
      0.09170779288732607,
      0.09047287846569899,
      0.08925451553646242,
      0.08805248078416289,
      0.08686655398996498,
      0.08569651796109182,
      0.08454215841333616,
      0.08340326400721645,
      0.08227962643270174,
      0.08117104011659795,
      0.08007730236607866,
      0.078998213258239,
      0.07793357556517903,
      0.0768831946633807,
      0.07584687868460344,
      0.07482443840305412,
      0.07381568717363733,
      0.07282044089857671,
      0.07183851799370328,
      0.07086973931949342,
      0.0699139281845299,
      0.06897091031666401,
      0.06804051385564175,
      0.06712256917962786,
      0.06621690899470464,
      0.06532336829887334,
      0.06444178434216578,
      0.06357199648052027,
      0.06271384640300787,
      0.061867177852642494,
      0.061031836765105395,
      0.06020767122793753,
      0.059394531091452936,
      0.058592268413386384,
      0.05780073734215367,
      0.05701979385540503,
      0.05624929596673031,
      0.055489103628133925,
      0.05473907863032867,
      0.053999078628099946,
      0.053268951372955654,
      0.05254855017073967,
      0.05183773513251299,
      0.051136371528652254,
      0.05044432877964954,
      0.049761479555458656,
      0.049087699265465044,
      0.04842286575300411,
      0.04776685901838207,
      0.04711956096294896,
      0.04648085513688371,
      0.045850627015361266,
      0.04522876366441766,
      0.044615153690242125,
      0.04400968727337407,
      0.04341225608209161,
      0.042822753311881206,
      0.042241073553037,
      0.04166711281300707,
      0.04110076836252332,
      0.04054193906410377,
      0.03999052508309535,
      0.039446427794480564,
      0.03890954996789312,
      0.03837979565580597,
      0.03785707030941091,
      0.03734128052445354,
      0.03683233416668909,
      0.03633014035304007,
      0.03583460935135306,
      0.03534565262479841,
      0.034863182906105225,
      0.03438711405422021,
      0.033917360994798106,
      0.0334538398428199,
      0.0329964678962581,
      0.03254516357079565,
      0.03209984523565637,
      0.03166041080622615,
      0.031226750241934085,
      0.030798765400660986,
      0.030376366762386364,
      0.029959470869194343,
      0.02954799864433694,
      0.029141874564796586,
      0.02874102576180121,
      0.028345381176190385,
      0.02795487153507821,
      0.027569429026864684,
      0.027188987671901064,
      0.026813485185988927,
      0.02644286058036484,
      0.02607705271483307,
      0.025716000332211903,
      0.025359642562713954,
      0.025007919048333563,
      0.024660770050366026,
      0.024318136329702075,
      0.023979959315902116,
      0.02364618120238892,
      0.023316744840777205,
      0.022991593790946275,
      0.022670672265140832,
      0.022353925329608636,
      0.02204129862572397,
      0.02173273854521682,
      0.021428192236288765,
      0.021127607434935816,
      0.020830932616502748,
      0.020538116870046003,
      0.020249110080692197,
      0.019963862567709195,
      0.019682325443544233,
      0.019404450441086716,
      0.01913018989018889,
      0.018859496753196953,
      0.018592324657183797,
      0.0183286278202848,
      0.018068360954795238,
      0.017811479414364534,
      0.017557939165046603,
      0.017307696835488048,
      0.01706070947050761,
      0.01681693461084554,
      0.01657633048939429,
      0.016338855930804655,
      0.016104470222019857,
      0.01587313311180932,
      0.015644804977185414,
      0.015419446636243849,
      0.015197019487222165,
      0.014977485357078471,
      0.01476080672718011,
      0.014546946401580345,
      0.014335867660371916,
      0.014127534280666442,
      0.013921910617544,
      0.01371896138136775,
      0.013518651702974636,
      0.013320947378675585,
      0.013125814468688185,
      0.012933219584098548,
      0.012743129685807677,
      0.012555512152172687,
      0.012370334860920774,
      0.012187566018666293,
      0.01200717430327529,
      0.011829128779258454,
      0.011653398935351911,
      0.011479954634795602,
      0.011308760591923322,
      0.011139774876574998,
      0.01097295888409967,
      0.010808277684860253,
      0.010645699111381296,
      0.010485192918290198,
      0.010326730367013454,
      0.01017028380786971,
      0.010015826500941849,
      0.009863332205611077,
      0.009712775491263115,
      0.009564131338603678,
      0.009417375149377384,
      0.00927248280276198,
      0.009129430509655801,
      0.0089881948467734,
      0.008848752702772562,
      0.008711081212859293,
      0.008575157841111083,
      0.008440960361787942,
      0.008308466880324697,
      0.008177655671065879,
      0.008048505410107633,
      0.007920995059755732,
      0.0077951037605865055,
      0.0076708109275776684,
      0.00754809622663481,
      0.007426939679293661,
      0.007307321520641291,
      0.007189222128156389,
      0.007072622218200606,
      0.006957502846600731,
      0.006843845219927474,
      0.006731630742452968,
      0.0066208410768714,
      0.0065114580977962385,
      0.0064034639540945975,
      0.006296841145166943,
      0.006191572064099265,
      0.006087639584060835,
      0.0059850266536286036,
      0.0058837166053658674,
      0.005783692944005972,
      0.005684939288111352,
      0.005587439464735383,
      0.005491177579605963,
      0.005396137948295175,
      0.0053023050601552135,
      0.005209663498383323,
      0.005118198178404186,
      0.005027894231428143,
      0.004938736857104361,
      0.004850711513315531,
      0.00476380382111443
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56753606512605,
      10.339387268900351,
      10.10435219957779,
      9.865155895308156,
      9.624059344584074,
      9.383051509865885,
      9.143835722079325,
      8.90782637038752,
      8.67617177860998,
      8.449748470018891,
      8.229164366060811,
      8.014771398515165,
      7.806690281221025,
      7.6048431316339515,
      7.408991584350007,
      7.218773333105078,
      7.033738540491535,
      6.853383666904658,
      6.6771807243475205,
      6.504601394653632,
      6.335138942788907,
      6.168325602905906,
      6.003744708948561,
      5.8410440554586565,
      5.679943456229002,
      5.520235360219491,
      5.36178285650728,
      5.204522488629561,
      5.048463746119001,
      4.893692648856113,
      4.740356826745536,
      4.588649261398424,
      4.438818256932292,
      4.291165120459533,
      4.146032410970504,
      4.003800980648753,
      3.8648858723146264,
      3.729696972217202,
      3.5986203869278155,
      3.4720081665977203,
      3.3501698146279497,
      3.2333658751579573,
      3.1218044003151677,
      3.0156394852814903,
      2.9149686344945858,
      2.819829245516104,
      2.7302037130268824,
      2.6460160940479414,
      2.5671381772423736,
      2.4933908848251174,
      2.4245402776927416,
      2.360330767150854,
      2.3004809054415465,
      2.2446845298391573,
      2.192606946587992,
      2.1438687781757584,
      2.0980812779567724,
      2.054893110704505,
      2.0139695689583603,
      1.9749942709280772,
      1.9377014055060469,
      1.9018843871384408,
      1.8673814928723529,
      1.834061987689058,
      1.8018151848823973,
      1.770545475661585,
      1.7401754900826023,
      1.7106422106864676,
      1.6818932435673402,
      1.6538835585737646,
      1.6265714381345593,
      1.5999199489642115,
      1.5738971272012334,
      1.5484747682073758,
      1.523627568295781,
      1.4993325098335752,
      1.475568418283963,
      1.4523156396032946,
      1.429555802504803,
      1.4072716409787467,
      1.3854468585532747,
      1.364066375156082,
      1.3431165618301908,
      1.3225842900789704,
      1.3024570339436046,
      1.2827231577990839,
      1.2633713195931817,
      1.2443904174517961,
      1.225769652220076,
      1.2074985622214742,
      1.1895670413695167,
      1.1719653464609732,
      1.154684095953922,
      1.137714262718517,
      1.1210476989228209,
      1.1046772201372677,
      1.0885960595393804,
      1.0727974539205543,
      1.0572745766766154,
      1.0420206383390478,
      1.0270289525192533,
      1.012292978083923,
      0.9978063439703816,
      0.9835628636843934,
      0.9695567679592272,
      0.9557835048231417,
      0.9422387064867075,
      0.9289177526108384,
      0.9158159062258586,
      0.9029284037850946,
      0.8902505140163068,
      0.8777775769610909,
      0.8655050277357362,
      0.8534284114000867,
      0.8415434517057943,
      0.8298471672397296,
      0.8183371717431758,
      0.8070105907857276,
      0.7958642606869604,
      0.7848948578599786,
      0.7740989857040984,
      0.7634732325770215,
      0.7530142090472296,
      0.7427185724503791,
      0.7325829894642785,
      0.7226040950190111,
      0.7127786371373331,
      0.7031034899282526,
      0.6935756381067252,
      0.6841921662921756,
      0.6749502494806128,
      0.6658470172498989,
      0.6568791470890465,
      0.6480433432702586,
      0.6393366300603516,
      0.6307562683224837,
      0.6222996987017714,
      0.6139645022581739,
      0.6057483730386158,
      0.59764909840868,
      0.589664545300065,
      0.5817926505722574,
      0.5740314130095688,
      0.5663788884484907,
      0.5588331853390613,
      0.5513924613789764,
      0.5440549208432423,
      0.5368188122071338,
      0.5296824261709568,
      0.5226440940675732,
      0.5157021862263518,
      0.5088551107333611,
      0.502101311932692,
      0.4954392693104691,
      0.4888674962850105,
      0.4823845391115227,
      0.4759889758818654,
      0.469679415497004,
      0.46345449687191764,
      0.457312887894305,
      0.4512532845231595,
      0.4452744100053395,
      0.4393750142404338,
      0.4335538727124756,
      0.42780978593285085,
      0.4221415786861029,
      0.41654809931032444,
      0.41102821901552156,
      0.405580831497165,
      0.4002048520593577,
      0.3948992169370652,
      0.3896628829460223,
      0.3844948269552704,
      0.3793940451075969,
      0.37435955237485774,
      0.3693903824757253,
      0.36448550947163905,
      0.35964368984921496,
      0.35486374592306924,
      0.3501446076710975,
      0.3454852837748144,
      0.34088484157803284,
      0.33634239332531096,
      0.3318570863184941,
      0.327428096334955,
      0.3230546226452697,
      0.31873588483115883,
      0.3144711201982584,
      0.31025958194218695,
      0.3061005381648278,
      0.3019932707088509,
      0.2979370743167367,
      0.2939313468327127,
      0.28997561710251263,
      0.2860693741548533,
      0.2822120624746758,
      0.27840309923587697,
      0.2746419268974782,
      0.27092835190337755,
      0.26726254871540095,
      0.2636449574220305,
      0.26007574222127544,
      0.25655478568992657,
      0.25308178321194263,
      0.24965630731637967,
      0.24627785084141637,
      0.24294585609670155,
      0.23965973482748776,
      0.23641888130880875,
      0.23322268137977614,
      0.23007051836874498,
      0.2269617771670111,
      0.22389584681033767,
      0.2208721222026571,
      0.21788995122607605,
      0.2149486456907692,
      0.21204755601142727,
      0.20918606580025775,
      0.20636358389438753,
      0.2035795388159271,
      0.20083337513547705,
      0.1981245507849442,
      0.19545253537337373,
      0.1928168087499161,
      0.19021686012677297,
      0.18765218749202942,
      0.18512229718396372,
      0.18262670335806389,
      0.180164927803588,
      0.1777364997150095,
      0.17534095543030842,
      0.17297783831413735,
      0.17064669857564096,
      0.1683470931223285,
      0.1660785853801636,
      0.16384074531463425,
      0.16163314916350954,
      0.15945537945963184,
      0.15730702477131253,
      0.15518767973880157,
      0.15309694491731674,
      0.15103442668723233,
      0.14899973704041297,
      0.14699249363665318,
      0.14501231965966296,
      0.1430588438100086,
      0.14113170001467235,
      0.13923052748261638,
      0.13735497060405863,
      0.13550467892232157,
      0.13367930685378634,
      0.13187851389952251,
      0.13010196434439386,
      0.12834932722501785,
      0.12662027626165787,
      0.12491448986151328,
      0.12323165095226518,
      0.12157144691245796,
      0.1199335696111662,
      0.11831771521402841,
      0.11672358419376153,
      0.11515088110611783,
      0.11359931481185104,
      0.11206859824169682,
      0.11055844825755068,
      0.10906858579351959,
      0.1075987355904917,
      0.10614862625512247,
      0.10471799015355486,
      0.10330656334923446,
      0.10191408560434406,
      0.1005403003107938,
      0.09918495445877537,
      0.09784779855449785,
      0.09652858655554887,
      0.09522707580614184,
      0.09394302685583929,
      0.09267620379909763,
      0.09142637384385202,
      0.09019330751511657,
      0.08897677844321868,
      0.08777656329699422,
      0.08659244197540227,
      0.08542419727627025,
      0.08427161503956439,
      0.08313448409495568,
      0.08201259601595347,
      0.08090574545685107,
      0.07981372971453113,
      0.0787363488789431,
      0.07767340578673973,
      0.07662470591147098,
      0.07559005754679046,
      0.07456927151907919,
      0.0735621612626333,
      0.07256854259547661,
      0.07158823400987405,
      0.07062105643493112,
      0.06966683328143894,
      0.06872539038795696,
      0.0677965558357294,
      0.06688016019790483,
      0.06597603627966256,
      0.06508401909878539,
      0.06420394594084845,
      0.06333565635638733,
      0.06247899201365634,
      0.06163379674667234,
      0.060799916509808066,
      0.059977199403902066,
      0.05916549543331809,
      0.05836465676032344,
      0.057574537563270675,
      0.05679499396608318,
      0.056025884076909865,
      0.055267067836764036,
      0.05451840709468774,
      0.053779765623396404,
      0.05305100897634973,
      0.052331992939451795,
      0.05162256897396342,
      0.05092259651493659,
      0.05023194095848498,
      0.04955047223634754,
      0.04887806398989477,
      0.048214592841269596,
      0.047559937961939844,
      0.04691398079448082,
      0.04627660468097842,
      0.04564769487401646,
      0.045027138173487226,
      0.04441482328805129,
      0.04381064036718241,
      0.043214481159145654,
      0.04262623888889531,
      0.042045808046011345,
      0.04147308474692659,
      0.04090796650540729,
      0.04035035210682011,
      0.03980014174830985,
      0.03925723697763375,
      0.038721540630598586,
      0.03819295694541392,
      0.03767139131346634,
      0.03715675039066193,
      0.03664894214060993,
      0.036147875841156946,
      0.03565346186745928,
      0.03516561175565609,
      0.034684238261646516,
      0.03420925526847067,
      0.0337405778702118,
      0.03327812231697075,
      0.032821805971060984,
      0.0323715472386967,
      0.0319272656010953,
      0.03148888029239045,
      0.031056290467778944,
      0.03062938789080188,
      0.03020807611727487,
      0.029792266993638825,
      0.02938187822278353,
      0.028976832078947908,
      0.028577054044812245,
      0.028182472240343207,
      0.0277930167600507,
      0.02740861935846,
      0.027029213729802527,
      0.02665473748798496,
      0.026285129460891375,
      0.025920328414503174,
      0.02556027322042675,
      0.025204903068379303,
      0.024854157622563742,
      0.024507977109937965,
      0.024166302455204215,
      0.02382907519586663,
      0.02349623750782746,
      0.023167732328857642,
      0.022843503262280063,
      0.022523494667980308,
      0.022207651679876466,
      0.0218959200991196,
      0.021588246391768998,
      0.021284577740033842,
      0.020984861924268457,
      0.020689047462046455,
      0.020397083590975404,
      0.020108920146056343,
      0.01982450761129894,
      0.019543797250097538,
      0.019266740850733922,
      0.018993290810950844,
      0.01872340014211228,
      0.018457022526966606,
      0.01819411215710432,
      0.01793462393518759,
      0.017678513234580005,
      0.01742573604225099,
      0.017176249060148634,
      0.01693000949702127,
      0.016686975136143433,
      0.016447104176165992,
      0.016210355359826668,
      0.015976688054001306,
      0.01574606210304197,
      0.015518437957546233,
      0.015293776576624377,
      0.015072039319299901,
      0.01485318809830955,
      0.014637185345330496,
      0.01442399402246371,
      0.01421357752177607,
      0.014005899680563273,
      0.013800924894197871,
      0.01359861790626797,
      0.01339894409665339,
      0.013201869180241734,
      0.013007359269739454,
      0.012815380939929077,
      0.012625901230034417,
      0.012438887673578872,
      0.012254308120100744,
      0.012072130927083426,
      0.011892324848570486,
      0.011714859084354027,
      0.011539703076325413,
      0.011366826726005053,
      0.011196200397053378,
      0.01102779477991174,
      0.010861581018716118,
      0.01069752912296293,
      0.01053560092392819,
      0.01037575743510508,
      0.010217963914300538,
      0.010062188557648174,
      0.009908401725874308,
      0.00975657537028344,
      0.009606682636437843,
      0.009458697606248973,
      0.0093125950944716,
      0.009168350543581262,
      0.009025939870076362,
      0.008885339452908545,
      0.008746526027876437,
      0.008609476755395992,
      0.008474169118174621,
      0.008340580972826224,
      0.008208690367423555,
      0.00807847563369275,
      0.007949915562622104,
      0.007822989054016547,
      0.007697675383726135,
      0.007573954064928108,
      0.007451804774103003,
      0.007331207576643113,
      0.007212142772281681,
      0.007094590805029711,
      0.006978532536348764,
      0.006863948979077938,
      0.0067508213693102,
      0.006639131156346654,
      0.006528860095239188,
      0.006419990098876712,
      0.006312503427821451,
      0.0062063824361949715,
      0.006101609814049391,
      0.005998168449520056,
      0.005896041476128163,
      0.00579521226389398,
      0.005695664239473058,
      0.00559738102476554,
      0.005500346658778479,
      0.005404545229670193,
      0.005309961073120817,
      0.0052165787108676195,
      0.005124382961590054,
      0.0050333586650554455,
      0.00494349094087041,
      0.0048547650280896144,
      0.004767166456332808,
      0.0046806809317066385
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567527534899204,
      10.339359878112724,
      10.104298419895366,
      9.86507097076062,
      9.623940221370772,
      9.382896572396856,
      9.143644747900975,
      8.907599594297402,
      8.67590950741213,
      8.4494512779436,
      8.228832963771318,
      8.014406559990753,
      7.806292614416586,
      7.604413061304658,
      7.4085293642051315,
      7.218279046506251,
      7.033212124343558,
      6.852824951134587,
      6.676589531269383,
      6.503977564648074,
      6.334482373029324,
      6.167636315280658,
      6.003023036836749,
      5.840290726154542,
      5.679159478214311,
      5.519422082959469,
      5.3609420078520005,
      5.203656246461087,
      5.047574727646796,
      4.8927838894148294,
      4.73943176095943,
      4.587711877723444,
      4.437872867475085,
      4.2902162948131926,
      4.145084935091604,
      4.002860169853861,
      3.8639573161006524,
      3.7287859657690716,
      3.597731840109451,
      3.471146523801645,
      3.349338989637533,
      3.2325692031538766,
      3.1210445874454575,
      3.0149186169750846,
      2.9142880792328905,
      2.8191895855011526,
      2.72960476905605,
      2.6454567767239725,
      2.5666165436674793,
      2.4929042070671295,
      2.4240854332952715,
      2.3599045988022977,
      2.3000799511244545,
      2.2443050610951767,
      2.1922451016015674,
      2.143520293559582,
      2.097742243601807,
      2.0545600210883324,
      2.013639155868993,
      1.9746638360485065,
      1.9373689289259908,
      1.901548387024143,
      1.8670408867469677,
      1.833715992778167,
      1.8014631485938908,
      1.7701869225194296,
      1.7398101285563095,
      1.7102698810968195,
      1.6815138797774563,
      1.6534971769279923,
      1.6261781250582703,
      1.5995198111024334,
      1.5734902845389298,
      1.5480613494933584,
      1.5232077068921137,
      1.4989063416697448,
      1.4751360795749047,
      1.451877265905512,
      1.4291115273268011,
      1.4068215956205627,
      1.3849911717977803,
      1.363605192951614,
      1.3426500301078028,
      1.3221125449989908,
      1.3019802382682828,
      1.2822414720220323,
      1.2628848864953763,
      1.2438993673324967,
      1.2252741053524243,
      1.206998631582482,
      1.1890628346763845,
      1.171456966851843,
      1.154171642277094,
      1.1371978308014297,
      1.1205274118517825,
      1.1041532087940409,
      1.0880684515747774,
      1.072266362584288,
      1.056740105158706,
      1.0414828823250772,
      1.026488002692805,
      1.0117489207465005,
      0.9972592619144439,
      0.9830128369642405,
      0.9690039612287414,
      0.9552282059407484,
      0.9416811318724708,
      0.928358070058852,
      0.9152542500275888,
      0.9023648845960205,
      0.8896852263837259,
      0.8772106037120988,
      0.8649364435232192,
      0.8528582853117916,
      0.8409719822006683,
      0.829274739342268,
      0.8177640581566202,
      0.8064369891692539,
      0.7952903170835357,
      0.7843206832248111,
      0.773524667301282,
      0.7628988412384352,
      0.7524398040659119,
      0.7421442052648897,
      0.7320087542903416,
      0.7220301277825081,
      0.7122050383777787,
      0.7025303363238223,
      0.693002990456661,
      0.6836200745203175,
      0.6743787553103172,
      0.6652761720022451,
      0.6563090216852706,
      0.6474739938739608,
      0.6387681029079231,
      0.6301886028574346,
      0.6217329297393082,
      0.6133986611868526,
      0.6051834887235061,
      0.5970851980027466,
      0.5891016549157512,
      0.5812307951031546,
      0.5734706168064284,
      0.5658191752991546,
      0.5582745782365865,
      0.5508349828915777,
      0.5434985930433865,
      0.5362636566944697,
      0.5291284642408796,
      0.5220913465921356,
      0.5151506738592325,
      0.5083048536501584,
      0.5015523300219252,
      0.4948915819260837,
      0.48832112247468085,
      0.4818394975332715,
      0.4754452849690508,
      0.4691370934139895,
      0.4629135612092166,
      0.45677335584076534,
      0.450715172930029,
      0.44473773544489775,
      0.4388397928045518,
      0.43302012026329434,
      0.42727751789049595,
      0.42161081011580603,
      0.41601884490273267,
      0.4105004931633933,
      0.4050546480363695,
      0.3996802244367372,
      0.3943761584495039,
      0.389141406593799,
      0.383974945239917,
      0.3788757703080847,
      0.3738428965905994,
      0.36887535715690667,
      0.36397209914572176,
      0.3591318761245035,
      0.3543535198165781,
      0.3496359666312666,
      0.3449782297166826,
      0.3403793793518234,
      0.3358385296127484,
      0.3313548290035447,
      0.3269274539911155,
      0.3225556042646439,
      0.3182384996417543,
      0.31397537737791104,
      0.3097654906355317,
      0.3056081073070316,
      0.3015025089863764,
      0.297447990252229,
      0.29344398296017765,
      0.28949001919430245,
      0.2855855753298692,
      0.28173008701886654,
      0.27792296506502,
      0.27416372285477647,
      0.2704522653004077,
      0.2667888411046901,
      0.26317386485230426,
      0.25960741927926884,
      0.2560893316177853,
      0.25261925994021545,
      0.2491967512740938,
      0.24582128127209335,
      0.24249228053433905,
      0.2392091528858284,
      0.23597128728079927,
      0.23277806600119,
      0.2296288698922117,
      0.22652308214489722,
      0.2234600906024078,
      0.22043928895620843,
      0.21746001330289244,
      0.2145215746509069,
      0.2116233273795997,
      0.2087646578314162,
      0.2059449767170679,
      0.20316371392465324,
      0.20042031479824138,
      0.19771423779550862,
      0.19504495289371765,
      0.19241194026718997,
      0.1898146892575526,
      0.18725269801503222,
      0.18472547291956606,
      0.18223252814863602,
      0.17977338564587708,
      0.17734757453557334,
      0.17495463117786864,
      0.17259409900020317,
      0.1702655281809317,
      0.16796847564222672,
      0.16570250484369964,
      0.16346718572025024,
      0.1612620945539021,
      0.15908681388138685,
      0.15694093236749024,
      0.154824044580294,
      0.15273575110699186,
      0.15067565825969811,
      0.14864337815364753,
      0.14663852850893735,
      0.1446607325254366,
      0.14270961886856964,
      0.14078482155012162,
      0.13888597972260538,
      0.13701273780703735,
      0.1351647453242604,
      0.13334165679881613,
      0.13154313180515934,
      0.1297688346283856,
      0.1280184343146513,
      0.12629160465326433,
      0.12458802411001138,
      0.1229073755585971,
      0.1212493464651802,
      0.11961362869232929,
      0.11799991848306973,
      0.11640791634369474,
      0.11483732697895777,
      0.11328785919601182,
      0.11175922589158262,
      0.11025114405903665,
      0.10876333455419235,
      0.1072955222493944,
      0.10584743585079309,
      0.10441880776671678,
      0.10300937409641088,
      0.10161887470131901,
      0.10024705302792912,
      0.09889365603212953,
      0.09755843433142748,
      0.09624114191836504,
      0.09494153612080865,
      0.09365937766874308,
      0.09239443063327792,
      0.09114646231334139,
      0.0899152433436498,
      0.08870054729271701,
      0.08750215104072163,
      0.08631983445018508,
      0.08515338042887086,
      0.08400257493337768,
      0.08286720671002422,
      0.08174706754203526,
      0.08064195196632706,
      0.07955165736310557,
      0.07847598388380156,
      0.07741473449059731,
      0.07636771472954221,
      0.07533473296455237,
      0.07431560005842111,
      0.07331012946728291,
      0.0723181372070944,
      0.07133944178871653,
      0.070373864237873,
      0.06942122801652338,
      0.0684813589307295,
      0.06755408526982144,
      0.06663923762693715,
      0.06573664884279588,
      0.06484615401470124,
      0.06396759056183167,
      0.06310079804130085,
      0.062245618198131306,
      0.06140189498187268,
      0.06056947437417976,
      0.05974820453576096,
      0.05893793558298802,
      0.05813851977559115,
      0.057349811349832434,
      0.05657166647676575,
      0.055803943272265046,
      0.05504650186538969,
      0.05429920417817738,
      0.05356191399244572,
      0.05283449694385,
      0.05211682058969235,
      0.05140875166733558,
      0.05071014634667543,
      0.05002086213396175,
      0.04934076367750884,
      0.0486697210207468,
      0.048007608471360784,
      0.04735430355630349,
      0.04670968652083252,
      0.04607363998430115,
      0.04544604873504187,
      0.04482679949570951,
      0.044215780651448516,
      0.043612882248352816,
      0.04301799597295021,
      0.04243101499774551,
      0.041851833982201325,
      0.041280349104789456,
      0.04071645791632486,
      0.04016005929715921,
      0.03961105350548446,
      0.03906934220527778,
      0.038534828328051766,
      0.03800741610472297,
      0.037487011077203,
      0.036973520035283126,
      0.036466851003080544,
      0.03596691319828755,
      0.03547361713599479,
      0.03498687445119465,
      0.034506598031244104,
      0.034032701856852,
      0.03356510105125102,
      0.03310371193686825,
      0.032648451940710733,
      0.032199239526188514,
      0.03175599427872442,
      0.03131863686503352,
      0.03088708783003699,
      0.03046124784644546,
      0.030041010207643642,
      0.02962627985211198,
      0.02921696979703091,
      0.028812998988926496,
      0.02841429082898966,
      0.028020771900571385,
      0.02763237130687068,
      0.027249020164681895,
      0.02687065172593578,
      0.02649720331783291,
      0.02612861371196676,
      0.025764821486042273,
      0.025405765457656004,
      0.02505138480763102,
      0.02470161931887388,
      0.024356409369765616,
      0.024015695777180067,
      0.02367942011176443,
      0.023347524666415088,
      0.023019952510322624,
      0.022696647399490906,
      0.022377553721973358,
      0.022062616623638502,
      0.021751781901396802,
      0.021444996128161867,
      0.0211422066199611,
      0.02084336131247174,
      0.020548408841610553,
      0.020257298415343954,
      0.019969979958527402,
      0.019686404024592805,
      0.019406521869040752,
      0.019130285328399436,
      0.018857646911434794,
      0.018588559772040644,
      0.018322977601997893,
      0.018060854761129973,
      0.017802146174882242,
      0.01754680732926899,
      0.01729479436360548,
      0.0170460639495043,
      0.016800573330912776,
      0.01655828027103795,
      0.016319143141145024,
      0.016083120763690593,
      0.015850172556370532,
      0.015620258601885359,
      0.015393339236952531,
      0.015169375374009303,
      0.014948328614959722,
      0.014730160992512826,
      0.014514834929425159,
      0.014302313428404894,
      0.014092559958623374,
      0.013885538465278565,
      0.013681213259860246,
      0.013479549325596816,
      0.013280512014670051,
      0.013084067090403459,
      0.01289018077743577,
      0.012698819711972955,
      0.012509951078077834,
      0.012323542294419015,
      0.012139561344484668,
      0.011957976682928419,
      0.011778757060699193,
      0.011601871650686884,
      0.011427289971286976,
      0.011254982110437345,
      0.011084918410779143,
      0.01091706967788207,
      0.010751407033982932,
      0.010587902001833587,
      0.010426526481895574,
      0.010267252731305803,
      0.01011005340759517,
      0.00995489811034281,
      0.009801748877628708,
      0.009650570025132954,
      0.009501329524867055,
      0.009353997893685548,
      0.009208547441635271,
      0.009064951838984734,
      0.008923185796594573,
      0.008783224985882677,
      0.008645045638046604,
      0.008508624616266607,
      0.008373939133983117,
      0.00824096687549844,
      0.008109685920974637,
      0.007980074628707928,
      0.007852111626614009,
      0.00772577590007736,
      0.007601046607539203,
      0.007477903323220681,
      0.007356325957009105,
      0.007236294529320527,
      0.007117789391615626,
      0.00700079113014574,
      0.006885280610654114,
      0.006771238896960406,
      0.006658647322849383,
      0.006547487393496444,
      0.0064377409672970246,
      0.006329389980972664,
      0.006222416811415637,
      0.006116803837340035,
      0.006012533790269118,
      0.005909589584674376,
      0.005807954327402675,
      0.005707611346721211,
      0.005608544279673974,
      0.005510736931283194,
      0.005414173262084164,
      0.005318837401832321,
      0.005224713784408936,
      0.005131786945534995,
      0.005040041685610134,
      0.004949462984454419,
      0.004860036006027876,
      0.004771746167558837,
      0.004684578973933335,
      0.004598520164492322
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567519004570656,
      10.339332481221815,
      10.104244610428562,
      9.864985971465412,
      9.623820957306929,
      9.382741407956646,
      9.143453443104496,
      8.907372369703435,
      8.67564665755834,
      8.449153368116663,
      8.228500695731118,
      8.014040681603143,
      7.805893715483844,
      7.603981567336697,
      7.408065530041439,
      7.217782956692833,
      7.03268371765096,
      6.852264059507404,
      6.675995977880439,
      6.5033511899203065,
      6.333823075576795,
      6.166944118298098,
      6.002298276166736,
      5.839534131422926,
      5.678372061255845,
      5.518605196717024,
      5.36009738322695,
      5.202786064350662,
      5.046681609856853,
      4.891870878766344,
      4.7385023009449,
      4.5867699641849065,
      4.436922821520689,
      4.289262697524138,
      4.144132608233113,
      4.001914446818892,
      3.863023800749715,
      3.7278699670529165,
      3.5968382815075692,
      3.4702798633133543,
      3.3485031531711007,
      3.2317675380403013,
      3.120279811514863,
      3.0141928258059014,
      2.913602649973112,
      2.8185451081877164,
      2.729001072739713,
      2.64489277896003,
      2.5660903067417387,
      2.4924130075486572,
      2.4236261536029375,
      2.3594740876386053,
      2.299674752084861,
      2.243921449938678,
      2.1918792185216143,
      2.143167875742368,
      2.097399382063106,
      2.0542232028066003,
      2.013305108163863,
      1.9743298612650084,
      1.9370330071054052,
      1.901209035787407,
      1.866697022431918,
      1.8333668304128978,
      1.8011080328684093,
      1.769825375667633,
      1.7394418566566787,
      1.7098947217022973,
      1.681131764956773,
      1.6531081211627219,
      1.625782212816757,
      1.599117146849831,
      1.573080986236248,
      1.5476455434325713,
      1.5227855242271018,
      1.498477915880974,
      1.4747015450192056,
      1.4514367560243333,
      1.4286651742390148,
      1.406369529112478,
      1.3845335193340502,
      1.3631420996766153,
      1.342181640659045,
      1.321638994579776,
      1.3015016879639678,
      1.2817580806015403,
      1.2623967957402098,
      1.2434067061583818,
      1.224776993443977,
      1.2064971811659102,
      1.188557152106747,
      1.170947154063859,
      1.1536577976408655,
      1.1366800496362146,
      1.1200058163058122,
      1.1036279284381902,
      1.0875396130934818,
      1.0717340794247059,
      1.0562044802506183,
      1.040944011202935,
      1.0259459746297948,
      1.011203820852876,
      0.9967111723192323,
      0.9824618368261736,
      0.9684502881218393,
      0.9546721225132047,
      0.941122838042406,
      0.9277977220186356,
      0.9146919736684026,
      0.9018007851061787,
      0.8891193941397227,
      0.8766431186606849,
      0.8643673785713663,
      0.8522877079673296,
      0.8404000896100599,
      0.8287019155359502,
      0.8171905751113583,
      0.8058630437814948,
      0.7947160548525091,
      0.7837462146801073,
      0.7729500790955306,
      0.7623242036350708,
      0.7518651761631688,
      0.7415696386052018,
      0.7314342993394507,
      0.721455905885462,
      0.7116311695816302,
      0.7019569105661732,
      0.6924300772409064,
      0.6830477294210163,
      0.67380702365759,
      0.6647051075314828,
      0.6557386972087996,
      0.6469044668540226,
      0.638199420139504,
      0.6296208039871114,
      0.6211660494315954,
      0.6128327307580848,
      0.604618536969571,
      0.5965212519858758,
      0.5885387402802205,
      0.5806689366341319,
      0.5729098385715409,
      0.5652595006283758,
      0.5577160299984404,
      0.5502775834302552,
      0.5429423642605886,
      0.535708619970863,
      0.5285746406800427,
      0.5215387569779961,
      0.5145993384794024,
      0.5077547925696976,
      0.5010035627402138,
      0.49434412776387326,
      0.4877750003191455,
      0.48129472593306055,
      0.47490188204427763,
      0.4685950768109389,
      0.46237294835412673,
      0.45623416378049003,
      0.4501774184978052,
      0.4442014349625831,
      0.43830496228783605,
      0.4324867751632022,
      0.42674567338863423,
      0.4210804810326505,
      0.415490045626213,
      0.409973237851766,
      0.4045289506383574,
      0.3991560985037832,
      0.39385361696808735,
      0.3886204621939491,
      0.3834556101952694,
      0.37835805660771304,
      0.3733268158791654,
      0.36836092077212657,
      0.36345929156454804,
      0.3586206788647622,
      0.3538439239681174,
      0.34912796970063575,
      0.34447183347180327,
      0.3398745884298018,
      0.3353353506568718,
      0.33085326976703233,
      0.3264275229891945,
      0.3220573104141926,
      0.3177418517601387,
      0.31348038444272003,
      0.30927216162234183,
      0.3051164509871227,
      0.3010125339375584,
      0.29695971530667364,
      0.2929574557927207,
      0.2890052802988626,
      0.28510265408997787,
      0.28124900489074894,
      0.2774437393780204,
      0.2736864956918318,
      0.26997724283360697,
      0.2663162944538325,
      0.26270399949205503,
      0.25914036897335263,
      0.25562518154379893,
      0.2521580623542448,
      0.248738536063092,
      0.24536606310007664,
      0.24204006403395228,
      0.2387599356982807,
      0.2355250623300503,
      0.23233482298471925,
      0.22918859626185026,
      0.2260857639121248,
      0.22302571283087363,
      0.22000783012013828,
      0.2170314429435587,
      0.21409586699710623,
      0.21120045975137394,
      0.20834460973026006,
      0.20552772912640327,
      0.20274924869098004,
      0.20000861454846255,
      0.19730528553802984,
      0.19463873184865174,
      0.19200843386143,
      0.18941388119580108,
      0.18685457200740202,
      0.18433001272612765,
      0.18183971768678517,
      0.17938320871544225,
      0.17696001502601155,
      0.17456967307129506,
      0.17221172625945871,
      0.16988572478906513,
      0.16759122564136053,
      0.16532779223347557,
      0.16309499458411764,
      0.16089240896238124,
      0.1587196178072062,
      0.1565762097650375,
      0.15446177952802165,
      0.15237592766299252,
      0.1503182605714061,
      0.14828839035072452,
      0.14628593470998819,
      0.14431051681231805,
      0.14236176533647416,
      0.1404393142995299,
      0.13854280299750069,
      0.13667187592264382,
      0.1348261825949859,
      0.1330053775738627,
      0.13120912029364792,
      0.1294370752071193,
      0.12768891135867222,
      0.1259643026716885,
      0.12426292756367077,
      0.12258446900820469,
      0.12092861450906225,
      0.11929505592347098,
      0.11768348951540529,
      0.11609361581930479,
      0.11452513953046799,
      0.1129777695865196,
      0.11145121895787244,
      0.10994520470551261,
      0.10845944773401249,
      0.10699367288834796,
      0.10554760888526141,
      0.10412098819413737,
      0.10271354704486223,
      0.10132502533381689,
      0.09995516649126054,
      0.09860371766622335,
      0.09727042942754047,
      0.09595505582044253,
      0.0946573542439887,
      0.09337708549263932,
      0.09211401368249719,
      0.09086790620167401,
      0.08963853363398419,
      0.08842566974450358,
      0.08722909134910534,
      0.08604857840470088,
      0.0848839139577337,
      0.08373488394468226,
      0.08260127720623639,
      0.08148288555961965,
      0.08037950364912048,
      0.0792909289150913,
      0.07821696161104871,
      0.07715740470341752,
      0.07611206393099762,
      0.07508074761309355,
      0.0740632666740394,
      0.07305943476627694,
      0.07206906794496507,
      0.07109198467283706,
      0.07012800605339177,
      0.06917695565357183,
      0.0682386593610111,
      0.0673129454631224,
      0.06639964464572091,
      0.06549858983524473,
      0.06460961622388658,
      0.0637325612205752,
      0.06286726443885646,
      0.06201356780735419,
      0.061171315300714006,
      0.060340353063246206,
      0.05952052926363789,
      0.05871169410044669,
      0.05791369988527073,
      0.05712640086648376,
      0.05634965333381294,
      0.05558331553007688,
      0.05482724760555439,
      0.054081311569572126,
      0.05334537129403994,
      0.052619292482134254,
      0.05190294263162384,
      0.05119619111606735,
      0.05049890901224972,
      0.04981096414322822,
      0.049132214608414465,
      0.048462523494748444,
      0.047801760263306695,
      0.04714979930105372,
      0.04650651872028536,
      0.04587179969108479,
      0.045245526078197394,
      0.044627583948172615,
      0.0440178612758916,
      0.043416247893664994,
      0.04282263531387219,
      0.042236916663066844,
      0.04165898667317393,
      0.041088741430617984,
      0.0405260784997205,
      0.03997089685451018,
      0.03942309683820892,
      0.038882580147013776,
      0.03834924983184341,
      0.03782301012720728,
      0.037303766678944146,
      0.03679142644657618,
      0.03628589746781362,
      0.03578708902443183,
      0.03529491165738826,
      0.03480927714530785,
      0.03433009851636768,
      0.03385728982011448,
      0.03339076629773994,
      0.032930444174984516,
      0.03247624100309911,
      0.03202807533344591,
      0.03158586694654632,
      0.031149536541647514,
      0.03071900591696425,
      0.03029419709491169,
      0.029875012816489188,
      0.02946134766145479,
      0.029053107742747383,
      0.028650207224145092,
      0.02825256619099895,
      0.027860108998887884,
      0.027472763195687196,
      0.027090458865943613,
      0.02671312865615451,
      0.026340709413717373,
      0.025973139687819103,
      0.025610358000837257,
      0.025252303008784713,
      0.024898913821013904,
      0.024550130162464347,
      0.024205892417716552,
      0.023866141607624694,
      0.02353081934919815,
      0.023199867983281282,
      0.022873230539518643,
      0.0225508509270641,
      0.022232673555492855,
      0.02191864372813174,
      0.021608707370430184,
      0.02130281111714024,
      0.021000902287794766,
      0.020702928852140635,
      0.020408839506207407,
      0.02011858357936877,
      0.01983211115397867,
      0.01954937286971815,
      0.01927032010561076,
      0.01899490470671394,
      0.01872307924068075,
      0.018454796894608154,
      0.018190011520614512,
      0.01792867744861261,
      0.017670749739895932,
      0.017416183928121224,
      0.01716493616965269,
      0.01691696326876043,
      0.016672222508312958,
      0.016430671762207454,
      0.0161922694065972,
      0.015956974366601817,
      0.015724746171529407,
      0.01549554487249163,
      0.015269330974847178,
      0.015046065531507452,
      0.014825710104576064,
      0.014608226735576832,
      0.01439357802562081,
      0.014181727026793177,
      0.0139726372818396,
      0.013766272757464525,
      0.013562597919249294,
      0.013361577700562352,
      0.013163177479375003,
      0.012967363190568437,
      0.01277410105877316,
      0.012583357828513587,
      0.01239510069096307,
      0.01220929718696029,
      0.012025915366099964,
      0.011844923667624758,
      0.011666290955777892,
      0.011489986371989667,
      0.011315979608461755,
      0.01114424070638222,
      0.010974740161111081,
      0.010807448806413442,
      0.01064233779545802,
      0.010479378589280731,
      0.010318543226726512,
      0.010159804150936518,
      0.010003133942249968,
      0.009848505528618412,
      0.009695892435890661,
      0.009545268409896265,
      0.009396607530116285,
      0.009249880152594743,
      0.009105050151963372,
      0.008962084169860392,
      0.008820952074115655,
      0.008681626096631496,
      0.008544080088220394,
      0.008408289346353421,
      0.008274229964562556,
      0.008141878815196115,
      0.008011213452323947,
      0.007882211934430387,
      0.007754852732170247,
      0.007629114732859113,
      0.007504977100334503,
      0.007382419307762354,
      0.007261421171492153,
      0.007141962873673442,
      0.007024024801824014,
      0.006907587516343238,
      0.006792631896763714,
      0.006679139003231409,
      0.006567090313891025,
      0.006456467391136762,
      0.006347252114902999,
      0.006239426592281396,
      0.006132973182707058,
      0.006027874358718606,
      0.005924112860000168,
      0.005821671669902881,
      0.005720534025164921,
      0.00562068329916726,
      0.005522103108357423,
      0.0054247773179991994,
      0.005328689997875695,
      0.005233825347126172,
      0.005140167791139189,
      0.00504770202867239,
      0.004956412857123692,
      0.004866285278401658,
      0.0047773045417120194,
      0.004689456041223813,
      0.0046027253732977245,
      0.004517098286147933
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567510508411297,
      10.33930514478375,
      10.104190866936497,
      9.86490102248609,
      9.623701704067502,
      9.382586198385374,
      9.14326202442406,
      8.907144950243506,
      8.675383519950636,
      8.448855068867996,
      8.228167928558456,
      8.013674181903738,
      7.805494068716795,
      7.603549198232799,
      7.40760069291467,
      7.217285735988533,
      7.032154051598635,
      6.8517017803193605,
      6.6754008986454485,
      6.502723153177715,
      6.33316198035238,
      6.166249989704566,
      6.001571450821096,
      5.838775341072975,
      5.6775823198486135,
      5.517785859190659,
      5.359250184588672,
      5.201913190614208,
      5.045785688280758,
      4.890954957896721,
      4.737569827402741,
      4.5858249380225296,
      4.435969569345557,
      4.288305806842604,
      4.14317691770526,
      4.0009653680549775,
      3.862086937155886,
      3.7269506283983387,
      3.59594139260462,
      3.469409882955167,
      3.347664008633932,
      3.2309625771965647,
      3.119511754305402,
      3.013463770147874,
      2.912913975938882,
      2.817897408587496,
      2.7283941801557963,
      2.644325518185086,
      2.5655607099710713,
      2.4919183748276295,
      2.4231633889923354,
      2.3590400593257272,
      2.2992659976910956,
      2.243534268212252,
      2.191509770812575,
      2.142811918228076,
      2.097053021355023,
      2.0538829042032063,
      2.012967594464959,
      1.9739924576586982,
      1.9366937093433225,
      1.9008663730145219,
      1.8663499189170847,
      1.833014507267105,
      1.8007498382488865,
      1.7694608329127168,
      1.7390706715790307,
      1.7095167315176485,
      1.6807469003854427,
      1.6527163947597996,
      1.6253837064699501,
      1.5987119631872622,
      1.5726692414365724,
      1.5472273622345938,
      1.5223610363798472,
      1.4980472531704359,
      1.474264839887832,
      1.4509941402039948,
      1.4282167782079995,
      1.4059154812540213,
      1.384073945758823,
      1.3626771437299352,
      1.341711445917412,
      1.3211636946649554,
      1.301021442837613,
      1.2812730477681638,
      1.2619071155868706,
      1.2429125062900208,
      1.2242783918696152,
      1.2059942886900052,
      1.1880500742805322,
      1.1704359918814298,
      1.1531426486059706,
      1.136161007825563,
      1.1194830032723624,
      1.1031014735570646,
      1.0870096424465223,
      1.0712007048960137,
      1.0556678037264333,
      1.0404041273411844,
      1.0254029727624518,
      1.0106577857163572,
      0.996162185088295,
      0.981909976349721,
      0.9678957987247976,
      0.95411526383137,
      0.9405638070914842,
      0.9272366733153434,
      0.9141290321467724,
      0.9012360547513615,
      0.8885529645417808,
      0.8760750692966593,
      0.8637977814851588,
      0.8517166302768813,
      0.8398277881954241,
      0.8281287533598737,
      0.8166168102976232,
      0.8052888634396635,
      0.7941415979757348,
      0.7831715874393703,
      0.7723753648544127,
      0.7617494701514382,
      0.7512904808087435,
      0.7409950312079596,
      0.730859824642068,
      0.7208816402871783,
      0.7110572455867773,
      0.7013834300262605,
      0.6918571176665057,
      0.6824753516562382,
      0.6732352764712505,
      0.6641340469395975,
      0.6551683971286215,
      0.6463349853936632,
      0.6376308046141123,
      0.629053094262304,
      0.6205992802180531,
      0.6122669333745042,
      0.6040537402723978,
      0.595957482927673,
      0.5879760244553942,
      0.5801072984812061,
      0.5723493018199972,
      0.5647000883035083,
      0.5571577647986199,
      0.549720487511256,
      0.5423864592917371,
      0.535153927158089,
      0.5280211808314044,
      0.5209865505878758,
      0.5140484057798712,
      0.5072051532193071,
      0.5004552361410454,
      0.49379713273631753,
      0.48722935545638485,
      0.48075044956757956,
      0.47435899210683946,
      0.46805359081007997,
      0.4618328833494578,
      0.45569553657869316,
      0.4496402454613156,
      0.4436657321685687,
      0.4377707454268816,
      0.4319540597125178,
      0.4262144743982522,
      0.42055081313538495,
      0.41496192311825864,
      0.4094466746662659,
      0.40400396031381924,
      0.39863269414722674,
      0.3933318113913691,
      0.38810026784161344,
      0.3829370393983896,
      0.3778411212233286,
      0.37281152725541605,
      0.3678472899880909,
      0.36294730328266017,
      0.35811031469844967,
      0.35333517486052424,
      0.3486208330487986,
      0.3439663109707668,
      0.33937068454012864,
      0.3348330716518594,
      0.33035262333099924,
      0.325928517449445,
      0.3215599544819538,
      0.3172461543972998,
      0.31298635458740015,
      0.3087798080904,
      0.30462578239628824,
      0.30052355861592117,
      0.29647245915267856,
      0.2924719701337967,
      0.28852160178318703,
      0.2846208092905231,
      0.28076901347783934,
      0.2769656337177781,
      0.2732104356809049,
      0.2695034799706295,
      0.2658450911626605,
      0.26223553456018095,
      0.25867475817535246,
      0.25516249783632355,
      0.2516983496372892,
      0.2482818187086009,
      0.24491235217383642,
      0.24158936146837742,
      0.23831223732211354,
      0.23508035981712389,
      0.23189310518735978,
      0.22874985022650596,
      0.2256499752882385,
      0.22259286641293474,
      0.21957790405197217,
      0.21660440665350517,
      0.21367169463944674,
      0.21077912866044785,
      0.20792609939614953,
      0.20511202034251977,
      0.20233632330334744,
      0.19959845497836154,
      0.1968978748017608,
      0.19423405323487236,
      0.19160647088838378,
      0.18901461740271558,
      0.18645799113923908,
      0.18393609856176246,
      0.18144845404454057,
      0.17899457953380193,
      0.17657400416410554,
      0.17418626441349513,
      0.1718309038063449,
      0.1695074725189997,
      0.16721552739658133,
      0.16495463196719484,
      0.16272435621328865,
      0.16052427636543262,
      0.15835397506292576,
      0.15621304086956178,
      0.15410106847990906,
      0.15201765842677567,
      0.14996241714213698,
      0.14793495676070922,
      0.14593489507329443,
      0.1439618553116347,
      0.1420154661332114,
      0.14009536158365918,
      0.13820118104286622,
      0.13633256898981577,
      0.13448917485872233,
      0.1326706533423537,
      0.13087666385893265,
      0.12910687082855116,
      0.12736094344319035,
      0.12563855562951878,
      0.12393938581012062,
      0.12226311703492158,
      0.12060943685994911,
      0.11897803720213407,
      0.11736861430344143,
      0.11578086875950856,
      0.11421450538451043,
      0.11266923310206438,
      0.11114476491958913,
      0.10964081782052428,
      0.10815711288605143,
      0.1066933750482893,
      0.10524933307295994,
      0.10382471947194288,
      0.10241927051106131,
      0.10103272606498337,
      0.0996648296942351,
      0.09831532854407812,
      0.09698397324904412,
      0.0956705178111494,
      0.09437471976341917,
      0.09309633998266423,
      0.09183514274957492,
      0.09059089545775047,
      0.08936336863892884,
      0.08815233620908357,
      0.08695757508386566,
      0.08577886519266076,
      0.08461598959561219,
      0.08346873431878088,
      0.08233688827639363,
      0.08122024331779995,
      0.08011859422124307,
      0.07903173855177399,
      0.07795947660883999,
      0.07690161143111868,
      0.07585794867765329,
      0.07482829679548161,
      0.07381246686928185,
      0.07281027254770941,
      0.07182152984852208,
      0.07084605745260046,
      0.06988367651791673,
      0.0689342106645521,
      0.06799748589272085,
      0.06707333051561994,
      0.06616157529812218,
      0.06526205324181199,
      0.06437459954699155,
      0.06349905176397616,
      0.0626352495903966,
      0.06178303498844316,
      0.06094225208446669,
      0.060112746968405975,
      0.059294367908067,
      0.058486965278409235,
      0.057690391406741766,
      0.05690450063196141,
      0.05612914923434529,
      0.05536419551269269,
      0.05460949979615236,
      0.05386492411327711,
      0.05313033238001626,
      0.05240559039414941,
      0.05169056587828944,
      0.05098512820249816,
      0.05028914853314366,
      0.04960249972747554,
      0.04892505655604557,
      0.04825668734987325,
      0.04759725382700725,
      0.046946624009684176,
      0.04630467169352024,
      0.045671275127327694,
      0.045046316135728265,
      0.044429679459450165,
      0.04382125230381659,
      0.043220923986121866,
      0.04262858563853518,
      0.042044130124668025,
      0.04146745201382692,
      0.040898447329470504,
      0.040337013637492466,
      0.03978305000335037,
      0.03923645679282047,
      0.03869713572906864,
      0.03816498986901717,
      0.03763992365809279,
      0.037121842697438734,
      0.03661065397706362,
      0.03610626572924833,
      0.03560858739503573,
      0.03511752960810328,
      0.034633004195586715,
      0.03415492407597649,
      0.033683203482089294,
      0.03321775770882414,
      0.03275850322128886,
      0.03230535751308109,
      0.0318582393216543,
      0.03141706843148843,
      0.030981765621809702,
      0.030552252722447173,
      0.030128452763502612,
      0.029710289648775826,
      0.029297668553584066,
      0.028890485043376133,
      0.02848864609544698,
      0.028092066931711426,
      0.027700668603745822,
      0.027314376428252483,
      0.02693311897611004,
      0.026556827850115015,
      0.026185439236842568,
      0.0258188910616405,
      0.025457121531295493,
      0.025100069280311353,
      0.024747673474134323,
      0.02439987367921736,
      0.024056610269059045,
      0.023717824254313964,
      0.0233834573636215,
      0.02305345205715722,
      0.022727751371275594,
      0.022406299267985055,
      0.02208904032644857,
      0.02177591980587978,
      0.021466883685645113,
      0.021161878709588803,
      0.020860852342849633,
      0.0205637526185806,
      0.02027052825568741,
      0.019981128807663454,
      0.01969550428689486,
      0.019413605350482966,
      0.019135383412218966,
      0.01886079059212495,
      0.01858977944618907,
      0.018322303270206654,
      0.018058315967551128,
      0.017797772027730963,
      0.017540626475115114,
      0.01728683493434103,
      0.01703635374907146,
      0.01678913976620251,
      0.0165451502430893,
      0.016304343106275702,
      0.01606667685007459,
      0.01583211052640214,
      0.015600603705354227,
      0.015372116405638455,
      0.015146609242866881,
      0.014924043307327536,
      0.014704380227452029,
      0.0144875822421016,
      0.014273611982447287,
      0.014062432446245174,
      0.01385400734898453,
      0.01364830074613087,
      0.013445277057621625,
      0.01324490131626484,
      0.013047139056050261,
      0.012851956202541042,
      0.012659319091687759,
      0.012469194471459846,
      0.012281549562264378,
      0.012096352023759973,
      0.011913569923326124,
      0.01173317174460438,
      0.011555126441727046,
      0.011379403228476654,
      0.01120597182664687,
      0.011034802327933912,
      0.010865865305893474,
      0.010699131655662724,
      0.010534572638922575,
      0.010372159866615457,
      0.01021186527650277,
      0.010053661264856562,
      0.009897520603569932,
      0.009743416384237265,
      0.0095913219888704,
      0.009441211246250102,
      0.009293058291046619,
      0.009146837545110257,
      0.009002523839674027,
      0.008860092291160217,
      0.008719518349697197,
      0.008580775503304805,
      0.008443829841372302,
      0.008308649184943638,
      0.008175204606299783,
      0.00804346950762804,
      0.007913418969820096,
      0.00778502943868096,
      0.007658278269533826,
      0.007533143492360808,
      0.0074096038082226215,
      0.007287638486762731,
      0.007167227106455692,
      0.0070483495891965784,
      0.0069309862359376905,
      0.006815117611168161,
      0.006700724562205651,
      0.0065877882774133985,
      0.00647629017432473,
      0.006366211877573933,
      0.0062575353503289905,
      0.006150242753480596,
      0.006044316426617563,
      0.005939739009402361,
      0.005836493265412087,
      0.005734562230703973,
      0.005633929153626897,
      0.005534577556228996,
      0.0054364910932448605,
      0.005339653640355757,
      0.00524404924345432,
      0.005149662248066274,
      0.005056477135397354,
      0.004964478620480642,
      0.004873651604786473,
      0.0047839811996662745,
      0.004695452674271704,
      0.004608051448747443,
      0.004521763170383054,
      0.004436573651039684
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567502253977201,
      10.339278253327453,
      10.104137723591363,
      9.86481678610472,
      9.62358323642304,
      9.382431780152578,
      9.143071353277303,
      8.906918190034414,
      8.675120941096669,
      8.448557218579456,
      8.227835480243368,
      8.013307806109937,
      7.805094342423117,
      7.6031165555497235,
      7.407135397637756,
      7.2167878811820145,
      7.031623582659668,
      6.851138536981774,
      6.674804689043605,
      6.502093827339513,
      6.332499445955943,
      6.1655542793286955,
      6.000842907775366,
      5.8380147027773726,
      5.676790605228404,
      5.516964428715719,
      5.358400777993641,
      5.201037998693765,
      5.044887344152929,
      4.890036516958593,
      4.736634741535559,
      4.584877211457428,
      4.43501353361023,
      4.287346055244613,
      4.142218295574662,
      4.000013377957538,
      3.8611471822578785,
      3.7260284184716372,
      3.595041652787897,
      3.4685370721768036,
      3.3468220545443623,
      3.2301548287427955,
      3.11874093165998,
      3.0127319712371436,
      2.9122225811190985,
      2.8172470120455886,
      2.7277846164014052,
      2.6437554457594405,
      2.5650281585909673,
      2.4914206739915525,
      2.4226974706485143,
      2.358602818113033,
      2.298853960435012,
      2.2431437633855404,
      2.1911369860878884,
      2.1424526329896993,
      2.0967033622836704,
      2.0535393268939037,
      2.012626822405375,
      1.97365183574684,
      1.9363512486789916,
      1.9005206132943129,
      1.8659997918264992,
      1.8326592379613105,
      1.800388775934675,
      1.769093501170243,
      1.7386967764946148,
      1.7091361096204492,
      1.6803594812829838,
      1.6523221898490617,
      1.6249827964591679,
      1.598304448458813,
      1.5722552359474364,
      1.546806988547053,
      1.5219344223857192,
      1.497614529085724,
      1.4738261364321894,
      1.4505495876065708,
      1.427766505120861,
      1.4054596147902356,
      1.3836126106680262,
      1.3622104823768195,
      1.3412396002231415,
      1.3206867968997142,
      1.300539651316077,
      1.2807865188257428,
      1.2614159881159392,
      1.2424169069490612,
      1.2237784379226975,
      1.205490090152671,
      1.1875417352181783,
      1.1699236122822614,
      1.152626324844454,
      1.1356408338001043,
      1.1189590994845424,
      1.1025739684304012,
      1.0864786614705992,
      1.0706663594228008,
      1.0551301949210756,
      1.0398633487018645,
      1.0248591124335684,
      1.0101109280362355,
      0.9956124105587999,
      0.9813573629269537,
      0.9673405900307834,
      0.9535577196024518,
      0.940004124845944,
      0.9266750073609024,
      0.9135655068060565,
      0.9006707734054498,
      0.8879860160843518,
      0.8755065325197348,
      0.8632277280660009,
      0.8511451264730919,
      0.8392551537626409,
      0.8275553289654756,
      0.8160428390908299,
      0.8047145224359253,
      0.7935670190497065,
      0.7825968713815946,
      0.7718005916797658,
      0.7611747055810442,
      0.7507157806459628,
      0.7404204443569495,
      0.7302853952845634,
      0.7203074091476583,
      0.7104833184395236,
      0.7008099295701995,
      0.6912841347644161,
      0.6819029560785516,
      0.6726635231423751,
      0.6635629958643591,
      0.6545981248225422,
      0.6457655514866569,
      0.6370622576353037,
      0.6284854748863968,
      0.620032623461821,
      0.6117012704878613,
      0.6034890999235802,
      0.5953938919908675,
      0.5874135083780039,
      0.579545881665276,
      0.5717890078145743,
      0.5641409399110996,
      0.5565997842743756,
      0.5491636966261316,
      0.5418308795405429,
      0.5345995797308911,
      0.5274680863237873,
      0.5204347291099365,
      0.5134978770575488,
      0.5066559366888449,
      0.4999073509349585,
      0.4932505978916994,
      0.4866841894305925,
      0.4802066703573476,
      0.4738166172841369,
      0.46751263762796685,
      0.4612933688417612,
      0.4551574774251326,
      0.44910365792331863,
      0.443130632145862,
      0.43723714843239697,
      0.43142198094298506,
      0.4256839286215423,
      0.4200218149029426,
      0.41443448659065824,
      0.4089208135611787,
      0.4034796879500596,
      0.3981100235088804,
      0.3928107551362948,
      0.3875808383560916,
      0.38241924856739407,
      0.3773249806025301,
      0.37229704826413584,
      0.3673344836149356,
      0.3624361540647607,
      0.3576008042924902,
      0.35282729426854686,
      0.3481145795898028,
      0.3434616861755339,
      0.338867692910481,
      0.3343317195173086,
      0.3298529181164999,
      0.3254304672497734,
      0.32106356782674705,
      0.3167514400284527,
      0.3124933211200063,
      0.30828846405287436,
      0.30413613619142443,
      0.30003561854320593,
      0.29598625102610815,
      0.29198754501300705,
      0.28803899611879397,
      0.28414004959057376,
      0.2802901192385034,
      0.27648869421931305,
      0.2727356653648307,
      0.2690311338714283,
      0.26537539584470143,
      0.2617686397858808,
      0.25821075993388254,
      0.25470145578007164,
      0.25124029856656227,
      0.2478267766664313,
      0.24446032588076594,
      0.24114034988053296,
      0.2378662342296442,
      0.23463735554332488,
      0.23145308753514504,
      0.22831280548958482,
      0.22521588869526205,
      0.22216172251493851,
      0.2191496809763456,
      0.21617907384820584,
      0.2132492262505093,
      0.2103595019733194,
      0.20750929377264093,
      0.2046980166857653,
      0.20192510342535658,
      0.1991900013516579,
      0.19649217032483848,
      0.1938310811886964,
      0.19120621463884666,
      0.18861706059839412,
      0.1860631174638011,
      0.18354389180352026,
      0.18105889798718516,
      0.1786076579479501,
      0.17618970101420747,
      0.17380456358087298,
      0.17145178896364308,
      0.16913092744848504,
      0.16684153600872767,
      0.16458317821757168,
      0.16235542405000203,
      0.1601578497590735,
      0.1579900379209441,
      0.15585157717251208,
      0.15374206226457426,
      0.15166109371163208,
      0.14960827795371612,
      0.1475832271275623,
      0.1455855589941267,
      0.14361489685605044,
      0.1416708694151677,
      0.13975311077891128,
      0.13786126018990405,
      0.13599496211402107,
      0.1341538663124345,
      0.13233762726765227,
      0.13054590465461305,
      0.12877836291119363,
      0.12703467115416117,
      0.12531450329417174,
      0.12361753794268485,
      0.12194345816199374,
      0.12029195147094246,
      0.11866270978195374,
      0.11705542942199913,
      0.11546981101484641,
      0.11390555945386442,
      0.11236238369754838,
      0.11083999674365548,
      0.10933811570562338,
      0.10785646165451457,
      0.10639475953739636,
      0.1049527381405997,
      0.1035301300593626,
      0.10212667170573894,
      0.10074210302374363,
      0.09937616755395018,
      0.0980286125479952,
      0.09669918864444123,
      0.0953876499886571,
      0.09409375420566014,
      0.09281726221331292,
      0.09155793817385194,
      0.09031554960968574,
      0.08908986716171782,
      0.08788066470827181,
      0.08668771925396052,
      0.08551081089309413,
      0.08434972270113256,
      0.08320424075445447,
      0.0820741539951935,
      0.08095925442467007,
      0.07985933682388899,
      0.07877419881183455,
      0.07770364073266699,
      0.07664746566691798,
      0.07560547942423394,
      0.0745774905202712,
      0.0735633100522042,
      0.07256275164719482,
      0.07157563163625646,
      0.07060176878647864,
      0.06964098420731712,
      0.06869310149139438,
      0.06775794679763117,
      0.06683534850464619,
      0.06592513739439476,
      0.06502714647827725,
      0.06414121121679947,
      0.06326716919461607,
      0.06240486016309417,
      0.06155412614786033,
      0.060714811313751754,
      0.05988676181843249,
      0.059069826083964015,
      0.05826385447546495,
      0.05746869941017243,
      0.056684215289799056,
      0.0559102585162921,
      0.05514668743604746,
      0.05439336228463717,
      0.05365014527887981,
      0.052916900474586505,
      0.05219349379633918,
      0.051479792960362314,
      0.05077566738137585,
      0.05008098834076966,
      0.04939562891321161,
      0.04871946368098776,
      0.048052369102833864,
      0.04739422326957747,
      0.04674489622212559,
      0.0461042532603977,
      0.04547216665517117,
      0.04484851431705707,
      0.04423317819271426,
      0.043626043668910444,
      0.043026998713381254,
      0.04243593371862313,
      0.04185274112637688,
      0.04127731507238435,
      0.04070955144835725,
      0.040149347763553625,
      0.03959660296814208,
      0.03905121747632214,
      0.03851309302301755,
      0.03798213271349597,
      0.037458240989033983,
      0.036941323623494136,
      0.03643128758775212,
      0.0359280412499366,
      0.0354314940975617,
      0.03494155680080764,
      0.03445814123946238,
      0.03398116048300831,
      0.033510528836389435,
      0.03304616169629105,
      0.03258797557042613,
      0.03213588819060699,
      0.03168981826434445,
      0.031249685612224052,
      0.03081541109617714,
      0.030386916749378365,
      0.029964125595506274,
      0.02954696158950215,
      0.02913534977525923,
      0.02872919880564661,
      0.028328405965374875,
      0.027932878979573927,
      0.027542533761431363,
      0.027157292082948297,
      0.026777080226026078,
      0.026401828121472494,
      0.02603147078617266,
      0.025665945499044895,
      0.025305189953060053,
      0.024949142545771245,
      0.02459774221462246,
      0.02425092848409009,
      0.023908641674473492,
      0.023570822795209716,
      0.02323741356225971,
      0.022908356405060303,
      0.022583594584850493,
      0.022263072099575346,
      0.02194673347724269,
      0.021634524214094456,
      0.02132639038282051,
      0.021022278730077944,
      0.020722136733179356,
      0.020425912566250506,
      0.020133554978348418,
      0.019845013537887795,
      0.01956023846699124,
      0.01927918051621612,
      0.019001791185168253,
      0.018728022538759208,
      0.018457827343902923,
      0.01819115897326094,
      0.017927971279897988,
      0.017668218899918233,
      0.017411857023655882,
      0.0171588413090747,
      0.016909128064313817,
      0.0166626741525291,
      0.016419437013763815,
      0.01617937466988799,
      0.015942445623493826,
      0.015708609077017967,
      0.01547782464552009,
      0.015250052427211072,
      0.015025253120692446,
      0.014803387858055569,
      0.014584418344985837,
      0.014368306837992699,
      0.014155016021695289,
      0.013944509091577635,
      0.013736749685890661,
      0.013531701940355172,
      0.013329330385587241,
      0.013129600030517836,
      0.012932476486191355,
      0.012737925843471855,
      0.01254591442550046,
      0.012356409100952115,
      0.012169377141311694,
      0.011984786149631813,
      0.011802604340738498,
      0.011622800276524185,
      0.011445342920758992,
      0.01127020168898874,
      0.011097346290413193,
      0.010926746933578054,
      0.01075837414573216,
      0.010592198855204097,
      0.010428192398328734,
      0.010266326372623076,
      0.010106572896068153,
      0.009948904440229273,
      0.00979329388148544,
      0.009639714254550963,
      0.009488138990148155,
      0.0093385420016691,
      0.009190897436384292,
      0.009045179764887846,
      0.0089013639036155,
      0.008759425020934308,
      0.008619338636875045,
      0.0084810805017358,
      0.00834462676796876,
      0.008209953953814622,
      0.008077038800340336,
      0.007945858193000966,
      0.007816382857236213,
      0.0076885807726990284,
      0.007562423472327937,
      0.007437885077731997,
      0.007314941619042642,
      0.007193570323759113,
      0.007073749457623306,
      0.006955458092831631,
      0.006838675911618712,
      0.006723383145524297,
      0.006609560421566405,
      0.0064971887306108185,
      0.006386249492857648,
      0.006276724236712636,
      0.00616859488267511,
      0.0060618436404644704,
      0.005956452830958303,
      0.005852405090534925,
      0.00574968326464366,
      0.005648270493127736,
      0.005548150016890987,
      0.005449305347419381,
      0.005351720221154099,
      0.005255378599266556,
      0.005160264655586778,
      0.005066362854494193,
      0.004973657654420538,
      0.004882133726922633,
      0.004791776029905482,
      0.004702569729740977,
      0.004614500155511027,
      0.004527552830559495,
      0.0044417134793062595,
      0.004356968015766263
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567494209561367,
      10.33925174889132,
      10.104085102087957,
      9.864733167587698,
      9.623465446117152,
      9.382277994637484,
      9.142881191232647,
      8.906691660735758,
      8.674858332536669,
      8.448259094724504,
      8.227502525715444,
      8.012940705452891,
      7.804693687928614,
      7.602682794360767,
      7.406668805440572,
      7.216288561723163,
      7.031091491859937,
      6.8505735218563,
      6.674206562804114,
      6.5014624456953465,
      6.331834720830292,
      6.164856247065212,
      6.0001119153735045,
      5.837251490785345,
      5.675996197944718,
      5.516140191620192,
      5.357548457112095,
      5.200159791567865,
      5.043985890587239,
      4.889114880333223,
      4.735696379773326,
      4.583926131816005,
      4.434054072282628,
      4.286382811346219,
      4.141256120119585,
      3.9990577809112664,
      3.860203776174316,
      3.725102522099586,
      3.5941381996642776,
      3.467660530008432,
      3.345976359791794,
      3.2293433373421987,
      3.117966370082216,
      3.0119964436700375,
      2.9115274743662547,
      2.816592926666661,
      2.727171394087171,
      2.6431817544986993,
      2.564492037061402,
      2.49091945880535,
      2.42222810100942,
      2.3581621950317144,
      2.2984386170676068,
      2.242750033171524,
      2.190761060336584,
      2.142090294232117,
      2.0963507386944125,
      2.053192873909856,
      2.0122832636747137,
      1.9733085159041057,
      1.9360061774942259,
      1.900172328659907,
      1.865647223105151,
      1.8323016085655102,
      1.8000254333273702,
      1.7687239668067796,
      1.7383207541852277,
      1.7087534341532504,
      1.679970080676274,
      1.6519260731185395,
      1.6245800415684495,
      1.597895154025401,
      1.5718395145012671,
      1.5463849611725062,
      1.5215062151071008,
      1.497180270641216,
      1.4733859563162137,
      1.4501036148868287,
      1.427314867365712,
      1.4050024374080052,
      1.3831500170103554,
      1.3617426134235486,
      1.340766597094188,
      1.3202087911494975,
      1.3000567999784198,
      1.2802989763992643,
      1.2609238928378363,
      1.241920384436235,
      1.2232776041204185,
      1.2049850544031924,
      1.1870326014643093,
      1.1694104797272138,
      1.1521092889300992,
      1.1351199868925232,
      1.1184345615855498,
      1.102045872267272,
      1.085947130256033,
      1.0701315028797043,
      1.0545921131335767,
      1.039322134385078,
      1.024314852944305,
      1.0095637064663694,
      0.9950623070303889,
      0.9808044716017114,
      0.9667851629000525,
      0.9530000068316316,
      0.9394443170815058,
      0.9261132539645557,
      0.9130019286154116,
      0.9001054717216703,
      0.8874190783110182,
      0.8749380363952434,
      0.8626577443451688,
      0.8505737209277631,
      0.8386826455407999,
      0.8269820582608794,
      0.815469048663716,
      0.8041403887956685,
      0.79299267370257,
      0.7820224151432752,
      0.7712261039676014,
      0.7606002514812774,
      0.7501414152636443,
      0.7398462159864267,
      0.7297113475605044,
      0.7197335823605561,
      0.7099097741021568,
      0.7002367918548273,
      0.6907115092130445,
      0.6813309223109847,
      0.6720921423280197,
      0.6629923319647866,
      0.6540282572811462,
      0.6451965418161169,
      0.6364941550565695,
      0.6279183203660877,
      0.6194664527243261,
      0.6111361151208633,
      0.6029249885897929,
      0.594830851368932,
      0.5868515637841477,
      0.5789850574598455,
      0.5712293273913146,
      0.5635824258799018,
      0.5560424587108445,
      0.5486075810839874,
      0.5412759950296707,
      0.5340459470441056,
      0.5269157258472885,
      0.5198836610336631,
      0.5129481210955187,
      0.5061075123262219,
      0.49936027700711727,
      0.49270489289363173,
      0.48613987146321963,
      0.47966375727097316,
      0.47327512653569975,
      0.46697258636116734,
      0.46075477391001574,
      0.4546203552564344,
      0.44856802455650235,
      0.44259650333759964,
      0.43670453950410615,
      0.4308909066982429,
      0.42515440363901646,
      0.41949385344266077,
      0.413908102596901,
      0.4083960205585068,
      0.40295649908632364,
      0.3975884516954793,
      0.3922908129542418,
      0.38706253798324236,
      0.3819026017002824,
      0.37680999860223463,
      0.3717837421958725,
      0.36682286428318595,
      0.36192620599138575,
      0.3570925091856586,
      0.35232064319823136,
      0.3476095697302011,
      0.3429583189790108,
      0.33836597266304963,
      0.33383165242325724,
      0.3293545114890357,
      0.3249337290467419,
      0.3205685063643872,
      0.3162580637829652,
      0.31200163869295505,
      0.30779848382936625,
      0.30364786651686493,
      0.29954906749048665,
      0.2955014593105995,
      0.29150455871458364,
      0.28755784823387504,
      0.2836607640829884,
      0.2798127145707497,
      0.27601329104763955,
      0.2722625052075662,
      0.26856046633483516,
      0.2649074283773669,
      0.261303507265236,
      0.2577485482236889,
      0.2542422175133184,
      0.2507840639164963,
      0.24737356054601792,
      0.24401013284372441,
      0.2406931776075301,
      0.23742207552362093,
      0.2341961998594269,
      0.23101492233051352,
      0.22787761676245483,
      0.2247836613894354,
      0.22173244079154106,
      0.2187233208624223,
      0.2157556052743732,
      0.21282862362959984,
      0.20994174284677375,
      0.20709435767161422,
      0.20428588454591487,
      0.2015157571323986,
      0.19878342346748068,
      0.1960883437511889,
      0.19342998921280538,
      0.1908078407246108,
      0.18822138830447052,
      0.1856701304501067,
      0.18315357365873217,
      0.1806712324111855,
      0.1782226287047016,
      0.1758072917692301,
      0.17342475800494458,
      0.17107457092445263,
      0.168756280775757,
      0.16646944460853433,
      0.16421362595058828,
      0.161988394755243,
      0.1597933273465152,
      0.1576280062284498,
      0.1554920200763102,
      0.15338496359170484,
      0.1513064374634688,
      0.14925604816043175,
      0.14723340779128058,
      0.14523813413284672,
      0.14326985052834032,
      0.14132818561683025,
      0.13941277365719698,
      0.13752325398406368,
      0.1356592710895634,
      0.13382047456107435,
      0.13200651907267522,
      0.13021706421360593,
      0.12845177447166695,
      0.1267103190854366,
      0.12499237190456014,
      0.12329761151893819,
      0.12162572105269338,
      0.11997638809983262,
      0.11834930475647873,
      0.1167441673559708,
      0.11516067649733114,
      0.113598536998252,
      0.11205745791924217,
      0.11053715248056144,
      0.10903733780182878,
      0.10755773493476285,
      0.10609806894657402,
      0.1046580685780555,
      0.10323746653722699,
      0.10183599917007508,
      0.10045340649358186,
      0.09908943224743218,
      0.09774382362113437,
      0.09641633134288172,
      0.09510670963417724,
      0.09381471603635716,
      0.09254011156046071,
      0.09128266045450366,
      0.09004213028756843,
      0.08881829189256887,
      0.08761091921872607,
      0.08641978934774712,
      0.08524468232369291,
      0.0840853811807221,
      0.08294167218222523,
      0.08181334444446323,
      0.08070018990137903,
      0.07960200333038618,
      0.07851858249613752,
      0.07744972787260475,
      0.07639524260734046,
      0.07535493263176102,
      0.0743286064412936,
      0.07331607512660461,
      0.0723171524745015,
      0.07133165477020542,
      0.07035940080287226,
      0.06940021188317724,
      0.06845391168582025,
      0.06752032641554404,
      0.06659928452437808,
      0.06569061687614629,
      0.06479415663978201,
      0.06390973921692523,
      0.06303720231430468,
      0.0621763857383115,
      0.06132713159211337,
      0.06048928399424941,
      0.059662689301134525,
      0.05884719589569386,
      0.05804265436856885,
      0.057248917119002325,
      0.05646583866221347,
      0.055693275534521594,
      0.05493108610110295,
      0.05417913074251793,
      0.053437271753210246,
      0.052705373180468536,
      0.05198330093367308,
      0.05127092291691251,
      0.05056810853273368,
      0.049874729110742554,
      0.04919065782183795,
      0.04851576950433046,
      0.04784994064863402,
      0.0471930493566894,
      0.046544975472926645,
      0.04590560020641805,
      0.04527479618679635,
      0.044652432590037865,
      0.04403838557016374,
      0.04343253654568764,
      0.04283477087971812,
      0.04224497721104103,
      0.041663046814108866,
      0.04108887318853504,
      0.04052235169840451,
      0.03996337941915953,
      0.039411855172596856,
      0.03886767920239675,
      0.038330753179892936,
      0.03780098022477476,
      0.037278264915278234,
      0.036762513030705414,
      0.036253631571895845,
      0.035751528878815816,
      0.03525611460368216,
      0.03476729946975414,
      0.03428499539678437,
      0.03380911565031484,
      0.033339574563288454,
      0.03287628760246493,
      0.032419171489939266,
      0.03196814388736544,
      0.031523123662823886,
      0.03108403063408361,
      0.030650785808965783,
      0.03022331121959703,
      0.029801529989929017,
      0.02938536624825684,
      0.028974745142436257,
      0.028569592741078863,
      0.028169821785833236,
      0.027775331364495313,
      0.027386029506828273,
      0.027001832761419826,
      0.026622663617544232,
      0.026248449457912715,
      0.025879123604236883,
      0.025514622282828785,
      0.025154882479946763,
      0.024799841962631804,
      0.024449439340351466,
      0.024103614053590915,
      0.023762306385124467,
      0.02342545720070233,
      0.023093008309126358,
      0.02276490216442958,
      0.022441082035045017,
      0.02212149188969747,
      0.02180607634969537,
      0.021494780872899744,
      0.02118755164175286,
      0.02088433558176151,
      0.020585080223174585,
      0.02028973382657073,
      0.019998245421671345,
      0.019710564512284114,
      0.01942664127295151,
      0.01914642661439374,
      0.01886987209307172,
      0.018596929886555064,
      0.01832755282889201,
      0.018061694346617703,
      0.017799308390609083,
      0.01754034958657594,
      0.0172847731970066,
      0.017032535073075214,
      0.016783591583292616,
      0.01653789964606468,
      0.016295416719912702,
      0.016056100999210888,
      0.015819911021237695,
      0.015586805987210912,
      0.015356745551246621,
      0.01512968995483894,
      0.014905599934611881,
      0.014684436810067737,
      0.014466162350925621,
      0.014250738792693604,
      0.014038128847454838,
      0.013828295780441325,
      0.013621203297698685,
      0.01341681562634946,
      0.013215097406115345,
      0.013016013760528735,
      0.01281953030006227,
      0.012625613025493476,
      0.012434228448881536,
      0.012245343532258578,
      0.012058925608892766,
      0.011874942401606721,
      0.011693362137466032,
      0.011514153525273867,
      0.011337285531003006,
      0.011162727446652138,
      0.010990449183482532,
      0.01082042096304353,
      0.010652613365779868,
      0.010486997380977888,
      0.010323544394583445,
      0.010162226140637047,
      0.010003014736761727,
      0.009845882740112935,
      0.009690802969622197,
      0.009537748609426418,
      0.009386693173412937,
      0.009237610560507268,
      0.009090474983955647,
      0.008945261067313423,
      0.008801943668617904,
      0.008660497997908632,
      0.008520899666372247,
      0.008383124533181269,
      0.008247148757273021,
      0.008112948869046264,
      0.007980501652895973,
      0.007849784208762874,
      0.007720773963990813,
      0.0075934486293244815,
      0.007467786155889243,
      0.007343764833168518,
      0.007221362211930853,
      0.007100549882796339,
      0.006981298599682211,
      0.006863582197450564,
      0.006747376776526062,
      0.0066326600430397205,
      0.006519410935228823,
      0.006407609343658786,
      0.0062972357460083245,
      0.006188271308739512,
      0.006080697564890729,
      0.005974496367114746,
      0.0058696500393210374,
      0.005766141039728329,
      0.005663952274073846,
      0.005563066767462149,
      0.0054634678458616755,
      0.005365139128113142,
      0.005268064365933417,
      0.0051722275838595325,
      0.00507761300377655,
      0.004984205008376944,
      0.004891988169014114,
      0.004800947337855498,
      0.004711067473634462,
      0.004622333805560988,
      0.004534731654315561,
      0.004448246571700821,
      0.00436286435383755,
      0.00427857092178629
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567486172468541,
      10.339225260409021,
      10.104032494964892,
      9.864649550400063,
      9.623347629333402,
      9.382124146228522,
      9.142690922921188,
      8.906464973227724,
      8.674595504137288,
      8.447960681217095,
      8.227169205853073,
      8.012573157477075,
      7.8042925006202655,
      7.602248413129793,
      7.406201504773799,
      7.2157884451217615,
      7.030558515191164,
      6.850007532394781,
      6.673607375365464,
      6.500829916828036,
      6.331168763205189,
      6.164156897569836,
      5.999379532708391,
      5.836486818238274,
      5.675200260581639,
      5.515314355998165,
      5.356694470219237,
      5.199279851901465,
      5.0430826411143395,
      4.88819138775872,
      4.734756102298041,
      4.582973075198954,
      4.4330925726539885,
      4.2854174682010715,
      4.140291785694346,
      3.9980999683249197,
      3.8592581012863905,
      3.7241743077681413,
      3.5932323836746574,
      3.466781584916269,
      3.3451282258448343,
      3.2285293749183754,
      3.1171893108525484,
      3.011258396574443,
      2.9108298299854822,
      2.815936289833414,
      2.726555611267974,
      2.6426055010579126,
      2.56395335952892,
      2.490415701781907,
      2.4217562109316684,
      2.357719080513696,
      2.298020818388561,
      2.2423538905608678,
      2.1903827713635144,
      2.1417256457329916,
      2.095995863468212,
      2.052844230976875,
      2.0119375778732778,
      1.9729631319892842,
      1.9356591058207009,
      1.8998221079349529,
      1.8652927832734199,
      1.8319421723407059,
      1.799660346976715,
      1.7683527506988548,
      1.7379431109180992,
      1.7083691968406929,
      1.679579175218933,
      1.651528507006433,
      1.6241758913399826,
      1.597484516836911,
      1.5714225012992822,
      1.5459616916046242,
      1.521076813972089,
      1.4967448656759377,
      1.4729446758434817,
      1.4496565867458344,
      1.4268622181556592,
      1.4045442916852389,
      1.3826864971982233,
      1.3612738595574907,
      1.340292749037451,
      1.3197299794553523,
      1.2995731814512146,
      1.2798107050709109,
      1.2604311055879345,
      1.2414232057073178,
      1.2227761491779057,
      1.2044794313416312,
      1.1865229130263601,
      1.1688968243745135,
      1.151591761826567,
      1.1345986828324282,
      1.1179096016972605,
      1.1015173884478187,
      1.0854152437994722,
      1.0695963223354792,
      1.0540537376008499,
      1.0387806560893247,
      1.023770358438447,
      1.0090162780821668,
      0.994512024378402,
      0.9802514986727371,
      0.9662297856138456,
      0.952442439825453,
      0.9388847265819644,
      0.9255517726673428,
      0.9124386659713758,
      0.899540520867471,
      0.8868525207756598,
      0.8743699458122647,
      0.8620881885662134,
      0.8500028297324189,
      0.8381107692282138,
      0.8264095021669646,
      0.814896032131776,
      0.80356707258811,
      0.7924191785130935,
      0.7814488343050613,
      0.7706525120651784,
      0.7600267102348284,
      0.7495679776668397,
      0.739272928962237,
      0.7291382535487789,
      0.7191607207827556,
      0.7093371824527371,
      0.6996645621283801,
      0.690139765946584,
      0.6807597575314187,
      0.6715216255835224,
      0.6624225193096834,
      0.6534592250713162,
      0.6446283610485989,
      0.6359268819270344,
      0.6273520004545482,
      0.618901124377812,
      0.6105718116351562,
      0.6023617399609964,
      0.5942686851619818,
      0.586290505833745,
      0.5784251322022507,
      0.5706705582607895,
      0.5630248357459069,
      0.5554860697976296,
      0.5480524150593108,
      0.5407220731620397,
      0.5334932900464021,
      0.5263643540943721,
      0.5193335944670464,
      0.5123993791461553,
      0.5055601139316548,
      0.49881424107938593,
      0.49216023776324214,
      0.48559661520660713,
      0.4791219175481024,
      0.47273472067584427,
      0.4664336314932091,
      0.4602172866290676,
      0.45408435184356294,
      0.4480335208873636,
      0.4420635148866727,
      0.4361730814194665,
      0.43036099389638927,
      0.4246260506144492,
      0.4189670742754314,
      0.41338291115830167,
      0.4078724303809897,
      0.4024345233559011,
      0.3970681031878021,
      0.39177210404218765,
      0.3865454807155049,
      0.38138720787552,
      0.37629627963505013,
      0.3712717090291395,
      0.36631251498668255,
      0.3614175187896936,
      0.3565854721155669,
      0.35181525157691346,
      0.34710582377839905,
      0.34245622206922743,
      0.3378655304797821,
      0.33333287187439437,
      0.328857400293212,
      0.32443829560116205,
      0.32007475933283475,
      0.3157660118603802,
      0.3115112904314648,
      0.3073098477540341,
      0.3031609508955763,
      0.2990638802791056,
      0.2950180423528369,
      0.2910229571968597,
      0.28707809472883516,
      0.28318288230546507,
      0.27933672706597973,
      0.2755393649114679,
      0.27179089972803094,
      0.26809140632732514,
      0.26444110460535,
      0.26084004318297915,
      0.2572880219516194,
      0.2537846764972039,
      0.25032953486508563,
      0.24692205606996417,
      0.2435616558642919,
      0.24024772453115079,
      0.23697963839757427,
      0.2337567677966951,
      0.23057848238739473,
      0.2274441545141383,
      0.22435316149812579,
      0.22130488735293874,
      0.21829868640117744,
      0.21533386102882496,
      0.2124097449028417,
      0.20952570751715063,
      0.20668114555148792,
      0.2038754766823145,
      0.20110813549310616,
      0.19837857060342048,
      0.1956862426763291,
      0.19303062308099472,
      0.1904111928873162,
      0.18782744224086467,
      0.1852788696966204,
      0.1827649819414473,
      0.1802852934341021,
      0.1778393261915796,
      0.17542660955547135,
      0.17304667995052128,
      0.1706990807437139,
      0.1683833622918848,
      0.16609908155579065,
      0.1638458020744761,
      0.16162309391180413,
      0.1594305333852026,
      0.15726770298214302,
      0.1551341914525019,
      0.1530295935232116,
      0.15095350990323808,
      0.1489055469738802,
      0.14688531688942133,
      0.14489243750328812,
      0.14292653213847242,
      0.14098722960313484,
      0.13907416393522043,
      0.13718697467164734,
      0.13532530630041784,
      0.1334888083633782,
      0.13167713566293027,
      0.12988994789371766,
      0.12812690946684396,
      0.12638768967922714,
      0.12467196251683775,
      0.12297940649091994,
      0.12130970474972387,
      0.11966254493086236,
      0.1180376191300431,
      0.11643462374384758,
      0.11485325948519498,
      0.11329323127942278,
      0.11175424816752662,
      0.11023602333714082,
      0.10873827398921473,
      0.10726072132606045,
      0.10580309032974183,
      0.1043651098839504,
      0.10294651269252851,
      0.10154703521735173,
      0.10016641750779579,
      0.09880440324596948,
      0.09746073970254288,
      0.09613517771106878,
      0.09482747160368629,
      0.09353737905072837,
      0.0922646610772904,
      0.09100908196399397,
      0.08977040931173513,
      0.08854841388898846,
      0.08734286975137004,
      0.08615355407311671,
      0.08498024696473135,
      0.08382273160580161,
      0.08268079431581245,
      0.08155422428294137,
      0.0804428134939998,
      0.07934635685234284,
      0.07826465200745349,
      0.07719749952794139,
      0.07614470267513164,
      0.07510606738967686,
      0.07408140224032057,
      0.07307051855365293,
      0.07207323008349265,
      0.07108935315952515,
      0.07011870668966065,
      0.06916111195861727,
      0.06821639278192265,
      0.06728437544332395,
      0.06636488852995799,
      0.06545776286184847,
      0.06456283171922753,
      0.06367993057942965,
      0.06280889721163903,
      0.06194957152602815,
      0.06110179561498636,
      0.06026541373913255,
      0.05944027233699687,
      0.05862621985530258,
      0.057823106793553146,
      0.05703078577531232,
      0.05624911149064806,
      0.055477940439499086,
      0.05471713111791058,
      0.053966543905946227,
      0.05322604120157263,
      0.052495487170801707,
      0.05177474780037172,
      0.051063690925366154,
      0.0503621862829883,
      0.04967010521716512,
      0.04898732084752047,
      0.04831370805717395,
      0.04764914340143558,
      0.04699350509604208,
      0.04634667309428633,
      0.04570852879862803,
      0.045078955356856486,
      0.044457837226960166,
      0.043845050512464755,
      0.0432404680568318,
      0.04264396947909994,
      0.04205543949909326,
      0.04147476667114995,
      0.04090184270544411,
      0.040336561753720544,
      0.039778820289702345,
      0.039228516578499927,
      0.038685550525098714,
      0.03814982370093449,
      0.03762123908106277,
      0.03709970110801058,
      0.03658511562134529,
      0.036077389728844236,
      0.03557643183865963,
      0.035082151540326935,
      0.034594459652877364,
      0.03411326831883695,
      0.03363849078515995,
      0.03317004150049081,
      0.03270783596859429,
      0.032251790841571495,
      0.031801823947187544,
      0.031357854196796375,
      0.030919801621888548,
      0.030487587312641635,
      0.03006113333218448,
      0.0296403628383071,
      0.029225200043790825,
      0.028815570238241946,
      0.028411399623251402,
      0.028012615278063785,
      0.027619134725962502,
      0.027230858895677466,
      0.026847695991546502,
      0.02646956284813035,
      0.026096382957435965,
      0.025728086964840313,
      0.025364609338207597,
      0.02500588588575539,
      0.02465185347925358,
      0.024302450322324,
      0.023957615466885487,
      0.023617288930795583,
      0.023281411660311942,
      0.022949925279614057,
      0.02262277230135421,
      0.02229989595879159,
      0.021981240263305325,
      0.021666749988776015,
      0.021356370690534317,
      0.021050048543095227,
      0.020747730460213568,
      0.020449364077616734,
      0.020154897694156237,
      0.019864280355661887,
      0.019577461750545443,
      0.019294392178114624,
      0.01901502263392219,
      0.018739304642968448,
      0.018467190502305327,
      0.0181986332086945,
      0.017933586217087773,
      0.01767200355711244,
      0.017413839939263154,
      0.01715905065370059,
      0.016907591592116966,
      0.016659419259310873,
      0.016414490710966085,
      0.01617276345505093,
      0.01593419563519769,
      0.01569874598110971,
      0.015466373754839766,
      0.015237038737510642,
      0.015010701198602474,
      0.014787321905797212,
      0.014566862161759382,
      0.01434928387514381,
      0.014134549347506579,
      0.013922621462764727,
      0.013713463465133639,
      0.013507039145914366,
      0.01330331279673952,
      0.013102249082369087,
      0.012903813220042,
      0.01270797089393511,
      0.01251468824792079,
      0.012323931682656941,
      0.012135668245536536,
      0.01194986536136204,
      0.011766490895318492,
      0.011585513077973486,
      0.011406900609618345,
      0.011230622543719313,
      0.011056648356434225,
      0.010884947928696171,
      0.01071549148511159,
      0.01054824978906003,
      0.010383193856022235,
      0.010220295145310244,
      0.010059525403552386,
      0.009900856890958187,
      0.00974426212614156,
      0.009589713930990179,
      0.009437185603974867,
      0.009286650700649077,
      0.009138083197294826,
      0.008991457363285523,
      0.00884674787628001,
      0.00870392962760012,
      0.008562977878140175,
      0.008423868231181821,
      0.0082865766255642,
      0.00815107934334294,
      0.00801735286553499,
      0.007885374079095108,
      0.007755120198643546,
      0.007626568569047958,
      0.007499697015538031,
      0.007374483527383451,
      0.0072509064770752045,
      0.00712894444624605,
      0.007008576300798884,
      0.006889781387673884,
      0.006772539078611174,
      0.006656829026369552,
      0.0065426309004243625,
      0.00642991914270001,
      0.006318665964355788,
      0.0062088465481727265,
      0.006100438257295328,
      0.005993420082125049,
      0.0058877723035999415,
      0.005783476021363209,
      0.005680512952431484,
      0.005578865416862328,
      0.005478516083656056,
      0.005379448087392346,
      0.005281644854452459,
      0.005185090107135408,
      0.005089767812229372,
      0.0049956622393970895,
      0.004902757740322815,
      0.00481103887823152,
      0.004720490513639535,
      0.004631097662102875,
      0.004542845575470098,
      0.004455719702876558,
      0.004369705691077818,
      0.004284789289941328,
      0.004200956468069724
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567478134765366,
      10.339198762367309,
      10.103979845613832,
      9.864565835190485,
      9.623229636703822,
      9.381970020010467,
      9.14250025740711,
      8.906237754397097,
      8.674331997060685,
      8.447661433422697,
      8.226834890590961,
      8.012204448920702,
      7.803889983297498,
      7.601812529506335,
      7.405732526678815,
      7.215286473722226,
      7.030023504737247,
      6.849439330219413,
      6.673005795950563,
      6.500194816450165,
      6.330500054005043,
      6.16345461703997,
      5.99864409465977,
      5.8357189576538095,
      5.674400998273078,
      5.514485055831278,
      5.355836878062403,
      5.198396166486352,
      5.042175506436636,
      4.887263874682391,
      4.733811672228072,
      4.582015735388655,
      4.4321266629145954,
      4.2844475944599845,
      4.139322807419748,
      3.9971374097317636,
      3.8583075919204095,
      3.7232411835111416,
      3.592321594952816,
      3.4658976155978474,
      3.34427502787321,
      3.227710320138416,
      3.1164071420962802,
      3.010515233086111,
      2.910127073208924,
      2.815274555337421,
      2.7259347561336016,
      2.6420242115371253,
      2.5634096933249517,
      2.4899070136182386,
      2.4212794569120195,
      2.357271178519782,
      2.2975983181737876,
      2.241953140721402,
      2.189999975196531,
      2.1413565930383696,
      2.09563668883572,
      2.0524913948632144,
      2.011587806230149,
      1.9726137692270278,
      1.9353081614878744,
      1.8994681191061453,
      1.8649346782627851,
      1.8315791721206167,
      1.799291794728381,
      1.7679781633633154,
      1.7375621880204652,
      1.7079817687075385,
      1.6791851659925163,
      1.6511279218995965,
      1.6237688042248912,
      1.5970710225533584,
      1.5710027084452514,
      1.5455357175218694,
      1.5206447816256663,
      1.4963069002926153,
      1.4725009034951273,
      1.4492071331970506,
      1.4264072080233863,
      1.4040838480087876,
      1.3822207406530698,
      1.360802928673162,
      1.339816782681998,
      1.3192491066431318,
      1.299087557069527,
      1.2793204818854145,
      1.2599364193147806,
      1.2409241794851051,
      1.2222728972448085,
      1.2039720609495947,
      1.1860115259642636,
      1.168381517997419,
      1.1510726299448772,
      1.1340758322281443,
      1.1173831589186307,
      1.1009874782591833,
      1.0848819826103464,
      1.0690598145839836,
      1.0535140793536597,
      1.0382379369591241,
      1.0232246634473856,
      1.008467688659129,
      0.9939606186935872,
      0.9796974391993885,
      0.96567335754426,
      0.951883857456838,
      0.9383241555822797,
      0.9249893451624402,
      0.9118744906817267,
      0.8989746903466701,
      0.8862851164247654,
      0.873801040883217,
      0.8615178504821869,
      0.8494312552435413,
      0.8375383412096497,
      0.8258364913493023,
      0.8143226340308034,
      0.8029934314001747,
      0.791845403553645,
      0.780875011163041,
      0.7700787100772883,
      0.7594529873914782,
      0.7489943841563518,
      0.7386995096425133,
      0.7285650495815086,
      0.7185877708158128,
      0.7087645232271341,
      0.6990922395741964,
      0.6895678956375609,
      0.6801884497014917,
      0.6709509619186759,
      0.6618525614354135,
      0.6528900536551686,
      0.6440600519352594,
      0.6353594938617022,
      0.6267855809567825,
      0.6183357129266946,
      0.6100074424662706,
      0.6017984436179037,
      0.5937064896981946,
      0.5857294370574221,
      0.5778652146700929,
      0.5701118154973316,
      0.5624672905291073,
      0.5549297441547674,
      0.5474973305338404,
      0.5401682506653464,
      0.532940749929839,
      0.5258131163147729,
      0.518783678643133,
      0.5118508046589597,
      0.5050128997889052,
      0.4982684057982854,
      0.4916157995772121,
      0.4850535919853796,
      0.4785803268896001,
      0.4721945797627419,
      0.46589495701916755,
      0.45968009504925533,
      0.45354865916160747,
      0.4474993428427001,
      0.4415308669842275,
      0.4356419788011572,
      0.4298314510795123,
      0.4240980819108386,
      0.41844069367116443,
      0.4128581322135861,
      0.40734926622648265,
      0.4019129867852717,
      0.396548206617971,
      0.39125385969764725,
      0.38602890050288224,
      0.38087230332989114,
      0.37578306188687854,
      0.37076018894443247,
      0.36580268974795266,
      0.36090936626853687,
      0.35607898063028715,
      0.35131041647162764,
      0.3466026453767465,
      0.34195470392293803,
      0.3373656781096895,
      0.33283469220272965,
      0.3283609011421379,
      0.3239434852555692,
      0.3195816461529446,
      0.31527460431262727,
      0.311021596964289,
      0.30682187669693023,
      0.30267471034291415,
      0.2985793816329769,
      0.2945353292849135,
      0.2905420732131889,
      0.28659907099783183,
      0.2827057415614485,
      0.2788615474227558,
      0.2750663776341679,
      0.27132035036691177,
      0.26762348564464444,
      0.2639759762846735,
      0.2603778124337255,
      0.25682875457750853,
      0.2533284114741513,
      0.2498762928978813,
      0.24647184563620492,
      0.2431144772382055,
      0.23980357231194413,
      0.236538503403565,
      0.23331863823095142,
      0.23014334471170864,
      0.22701199397117006,
      0.22392396249971086,
      0.22087863385113846,
      0.21787535075569656,
      0.21491341437986602,
      0.21199216241978153,
      0.20911096721378253,
      0.2062692273777378,
      0.20346636167284352,
      0.2007018055801611,
      0.1979750083554533,
      0.1952854309741002,
      0.19263254511176933,
      0.19001583201176067,
      0.18743478184686563,
      0.18488889342078021,
      0.18237767344518574,
      0.17990063634461625,
      0.17745730415586156,
      0.17504720628070977,
      0.1726698791548261,
      0.17032486633492877,
      0.1680117180436878,
      0.16572999127870064,
      0.16347924960164767,
      0.16125906303324278,
      0.15906900796550183,
      0.15690866693785593,
      0.15477762868442935,
      0.15267548789250657,
      0.1506018452638699,
      0.1485563072108462,
      0.14653848594376895,
      0.14454799935207926,
      0.1425844707872414,
      0.14064752903302516,
      0.1387368082152537,
      0.1368519477397064,
      0.13499259224597465,
      0.13315839143658242,
      0.13134900005514355,
      0.12956407770773637,
      0.12780328892848747,
      0.1260663030179813,
      0.12435279401781275,
      0.12266244053405911,
      0.12099492578521807,
      0.11934993741639535,
      0.11772716756934513,
      0.11612631268704747,
      0.11454707350359863,
      0.1129891549144595,
      0.11145226601280254,
      0.10993612004435128,
      0.10844043428010874,
      0.1069649298897523,
      0.10550933200616928,
      0.10407336956766307,
      0.10265677537637334,
      0.10125928588351191,
      0.09988064117773633,
      0.09852058497296422,
      0.09717886469119251,
      0.09585523124026296,
      0.09454943886680922,
      0.09326124536437283,
      0.09199041179729114,
      0.09073670254175654,
      0.08949988528702092,
      0.0882797308829507,
      0.08707601340851776,
      0.08588851004814034,
      0.08471700103948158,
      0.08356126956788998,
      0.0824211020057851,
      0.08129628758110315,
      0.0801866183200156,
      0.07909188929200583,
      0.07801189829347992,
      0.07694644586890181,
      0.07589533536712727,
      0.0748583728071543,
      0.07383536679221077,
      0.07282612861438578,
      0.07183047217143487,
      0.07084821383304676,
      0.06987917265625837,
      0.06892317005414164,
      0.06798002984844223,
      0.0670495782959836,
      0.06613164408902568,
      0.06522605827560123,
      0.0643326541440147,
      0.06345126721428654,
      0.06258173525977245,
      0.061723898331164956,
      0.060877598613721426,
      0.060042680403931244,
      0.05921899019271782,
      0.05840637653374994,
      0.057604690034477296,
      0.05681378337996001,
      0.05603351121508281,
      0.05526373017406288,
      0.05450429893975184,
      0.05375507791927272,
      0.0530159295019906,
      0.05228671794609962,
      0.05156730939067245,
      0.05085757171488615,
      0.0501573746621007,
      0.049466589703607226,
      0.04878509001370528,
      0.04811275058512276,
      0.047449447991668364,
      0.04679506065646595,
      0.046149468487759596,
      0.04551255294986608,
      0.04488419729254525,
      0.0442642863037392,
      0.043652706319732074,
      0.043049345120085694,
      0.042454082969105265,
      0.041866796174082774,
      0.041287367417438936,
      0.04071568437942751,
      0.040151638607698596,
      0.03959512462723212,
      0.03904603947214987,
      0.03850428243735165,
      0.03796975451720119,
      0.03744235839504672,
      0.036921998375405565,
      0.03640858006487136,
      0.03590201050968426,
      0.03540219819568801,
      0.03490905271980673,
      0.034422485006645735,
      0.03394240722490969,
      0.03346873261278438,
      0.033001375708857805,
      0.03254025221231488,
      0.032085278844368216,
      0.031636373452627965,
      0.03119345510016675,
      0.030756443886322857,
      0.0303252608473755,
      0.029899828201439282,
      0.029480069197163766,
      0.02906590811253981,
      0.028657270267609263,
      0.028254082034494237,
      0.02785627063208495,
      0.027463764337687522,
      0.027076485816886278,
      0.026694337917194527,
      0.026317228647245252,
      0.025945075449328763,
      0.025577804800109964,
      0.025215348437522413,
      0.024857640409677036,
      0.024504616460708287,
      0.02415621376030322,
      0.023812370759460876,
      0.023473027172347782,
      0.023138123562136945,
      0.022807601559972933,
      0.02248140364903443,
      0.02215947300954499,
      0.02184175368405083,
      0.021528190625609303,
      0.02121872929772456,
      0.02091331589317111,
      0.020611897428642573,
      0.020314421689886054,
      0.020020837084327937,
      0.019731092642556177,
      0.0194451380667551,
      0.01916292374993363,
      0.01888440082309151,
      0.018609521008319998,
      0.01833823665234832,
      0.018070500660680028,
      0.017806266643603384,
      0.017545488740824604,
      0.01728812169619729,
      0.01703412092209764,
      0.01678344236266673,
      0.01653604259480352,
      0.0162918787086433,
      0.016050908362088993,
      0.015813089812069716,
      0.01557838179525398,
      0.015346743557197968,
      0.015118134940624197,
      0.01489251632325255,
      0.01466984864705332,
      0.01445009328407952,
      0.014233212069587392,
      0.014019167489387415,
      0.01380792242459442,
      0.013599440285979383,
      0.013393684953226334,
      0.013190620645742671,
      0.01299021219603942,
      0.012792424886323065,
      0.012597224401286243,
      0.012404576954257314,
      0.012214449142152098,
      0.012026807947871724,
      0.011841620820758816,
      0.011658855733315852,
      0.011478480979266596,
      0.0113004652209984,
      0.011124777659104926,
      0.010951387784392102,
      0.010780265633465015,
      0.010611381576532108,
      0.010444706271241824,
      0.010280210793168272,
      0.010117866721019412,
      0.009957645840792327,
      0.009799520340477496,
      0.009643462840595767,
      0.009489446344290666,
      0.009337444156615164,
      0.009187429957967645,
      0.009039377675446615,
      0.008893261711328487,
      0.008749056798007495,
      0.00860673787974204,
      0.008466280230744885,
      0.008327659497912872,
      0.008190851700818794,
      0.00805583308023131,
      0.007922580214898488,
      0.007791070107725797,
      0.007661279961861406,
      0.007533187256683656,
      0.007406769761211962,
      0.007282005561294163,
      0.0071588730436582355,
      0.007037350880910944,
      0.006917417986197043,
      0.006799053582976177,
      0.006682237187007158,
      0.0065669485898281026,
      0.00645316773472539,
      0.006340874924249626,
      0.006230050634787186,
      0.006120675726314741,
      0.006012731239844344,
      0.005906198482113488,
      0.005801057362812411,
      0.005697282351696792,
      0.005594848842060979,
      0.005493734751694741,
      0.005393919831794832,
      0.005295384983299303,
      0.005198112194738931,
      0.005102084293501389,
      0.005007284496658584,
      0.0049136965870391165,
      0.004821304703198268,
      0.004730093302541072,
      0.004640047176642272,
      0.004551151283562936,
      0.0044633908031901474,
      0.004376751155406185,
      0.004291218082842201,
      0.004206777321327492,
      0.004123414932097893
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567470096553127,
      10.339172250034846,
      10.10392714702505,
      9.864482011524917,
      9.623111452977136,
      9.381815603662238,
      9.14230918755816,
      8.906010002633185,
      8.674067818146664,
      8.447361364069783,
      8.2264995966354,
      8.011834598302945,
      7.803486156454194,
      7.601375165499178,
      7.405261895609496,
      7.214782675958699,
      7.029486492921194,
      6.848868949205517,
      6.672401857066944,
      6.499557173703056,
      6.3298286190379365,
      6.162749427134925,
      5.997905563798489,
      5.834947822011188,
      5.673598280222054,
      5.513652120065922,
      5.354975472591628,
      5.197508494502196,
      5.041264217343866,
      4.886332045953216,
      4.732862771064314,
      4.58105377320538,
      4.431155986173624,
      4.283472817686822,
      4.138348800510115,
      3.996169710993441,
      3.8573518463500833,
      3.722302743165719,
      3.591405426493031,
      3.4650082189155937,
      3.343416369949264,
      3.226885787031975,
      3.115619489717048,
      3.00976659396991,
      2.9094188605943643,
      2.814607395200942,
      2.7253085153421055,
      2.641437587118481,
      2.5628607531336995,
      2.48939312230172,
      2.4207975796735273,
      2.356818241881686,
      2.297170880150135,
      2.241547557334917,
      2.1896124552515848,
      2.1409829305760804,
      2.095273021342716,
      2.0521341839427865,
      2.011233776388047,
      1.9722602628443495,
      1.9349531857902298,
      1.8991102093097676,
      1.8645727600095532,
      1.8312124632947608,
      1.7989196346920189,
      1.7676000654867268,
      1.737177848542873,
      1.7075910152428972,
      1.6787879196091489,
      1.650724185015924,
      1.6233586478199997,
      1.596654538553408,
      1.570580002590626,
      1.545106905190678,
      1.520209983311869,
      1.4958662391305897,
      1.4720545037616057,
      1.44875511902539,
      1.4259497021745748,
      1.4036209715094297,
      1.3817526122287986,
      1.3603296855411335,
      1.33933856233791,
      1.3187660490427917,
      1.298599821867605,
      1.27882821364353,
      1.2594397479425656,
      1.2404232244653939,
      1.2217677695384093,
      1.2034628648664094,
      1.1854983612532972,
      1.1678644807813354,
      1.1505518130069872,
      1.1335513406711635,
      1.116855118288528,
      1.1004560121877258,
      1.0843472064030317,
      1.0685218319144028,
      1.0529729853605374,
      1.0376938205253379,
      1.0226776086616538,
      1.0079177758176072,
      0.9934079251976409,
      0.9791421271210926,
      0.9651157118952578,
      0.9513240918670979,
      0.937762435078756,
      0.9244258013108395,
      0.9113092318792313,
      0.8984078085043972,
      0.8857166921378777,
      0.8732311467412252,
      0.8609465534420453,
      0.8488587516356991,
      0.8369650135893446,
      0.8252626101795799,
      0.8137483944117542,
      0.8024189772725147,
      0.7912708437824769,
      0.7803004307453771,
      0.7695041780246101,
      0.7588785614074218,
      0.7484201143863894,
      0.7381254407404703,
      0.7279912222945248,
      0.7180142231420601,
      0.708191291200623,
      0.6985193580351285,
      0.6889954377759568,
      0.6796165407410718,
      0.6703796962432635,
      0.6612820090641371,
      0.652320300439817,
      0.643491176984143,
      0.6347915585717321,
      0.6262186343872505,
      0.6177697960086292,
      0.609442590245046,
      0.60123468673213,
      0.5931438558624633,
      0.585167952096011,
      0.5773049027993506,
      0.569552699850027,
      0.5619093932864047,
      0.5543730870248872,
      0.5469419346624771,
      0.5396141367405722,
      0.5323879382541117,
      0.5252616267423875,
      0.5182335304584986,
      0.5113020168797606,
      0.5044654911062209,
      0.4977223944591157,
      0.49107120346298316,
      0.4845104287605582,
      0.4780386137621308,
      0.47165433367032467,
      0.46535619445360643,
      0.45914283215390495,
      0.45301291177164377,
      0.4469651263673107,
      0.44099819646047717,
      0.43511086901824836,
      0.4293019166726532,
      0.42357013699201984,
      0.4179143519120573,
      0.41233340694811277,
      0.40682617052259606,
      0.4013915333339444,
      0.3960284077696945,
      0.3907357274937757,
      0.3855124465498024,
      0.3803575388713545,
      0.37526999787179127,
      0.3702488359373414,
      0.36529304476355495,
      0.3604014070418024,
      0.3555726954753725,
      0.3508058007338609,
      0.346099699080943,
      0.3414534304407001,
      0.3368660829379057,
      0.3323367822940485,
      0.32786468422532,
      0.32344896934712597,
      0.3190888395000565,
      0.31478351515575165,
      0.3105322335905464,
      0.30633424721130614,
      0.302188822703722,
      0.29809526142306114,
      0.29405302730330435,
      0.29006162553197673,
      0.2861205037558736,
      0.2822290740349122,
      0.2783868758477659,
      0.2745939745163346,
      0.2708504373146173,
      0.2671562530085024,
      0.2635115718174445,
      0.2599163306890262,
      0.2563702539107356,
      0.2528729259048882,
      0.249423839948436,
      0.24602243148539737,
      0.24266810044407397,
      0.23936022635861537,
      0.23609817838763497,
      0.23288132184598487,
      0.22970902294206352,
      0.22658065184114434,
      0.22349558441025988,
      0.22045320361953963,
      0.2174528404823322,
      0.21449379503647814,
      0.21157540916067186,
      0.20869705801288885,
      0.20585814190372773,
      0.203058080983572,
      0.2002963116172896,
      0.19757228351765835,
      0.19488545812323485,
      0.1922353073503411,
      0.18962131265129722,
      0.18704296441406332,
      0.18449976134516605,
      0.18199121033072205,
      0.1795168258208337,
      0.17707612984275348,
      0.1746686518289997,
      0.17229392828545262,
      0.1699515026296812,
      0.16764092519247653,
      0.1653617529830123,
      0.16311354957879134,
      0.16089588506459981,
      0.15870833579141133,
      0.15655048434262664,
      0.15442191952977413,
      0.15232223606165285,
      0.15025103456043667,
      0.14820792154942777,
      0.1461925092668002,
      0.14420441555892455,
      0.14224326383424718,
      0.14030868293786333,
      0.13840030704182818,
      0.1365177755637615,
      0.13466073308180748,
      0.13282882934135518,
      0.13102171906743906,
      0.12923906202745764,
      0.1274805226384551,
      0.1257457703395242,
      0.12403447919084065,
      0.12234632790054575,
      0.12068099963077644,
      0.11903818212952558,
      0.11741756759070186,
      0.11581885249670315,
      0.11424173753170608,
      0.11268592779516151,
      0.11115113237404879,
      0.10963706451367983,
      0.10814344154096422,
      0.10666998474435303,
      0.1052164192473556,
      0.1037824740796594,
      0.10236788200033944,
      0.10097237952421441,
      0.09959570692311541,
      0.09823760795961135,
      0.09689783003999274,
      0.09557612404867898,
      0.09427224439828422,
      0.09298594888171413,
      0.09171699862523866,
      0.09046515813564494,
      0.08923019507286084,
      0.0880118804089266,
      0.08680998825518274,
      0.08562429586557616,
      0.08445458354312621,
      0.0833006345826255,
      0.08216223536677528,
      0.08103917521611342,
      0.07993124629348967,
      0.07883824366208574,
      0.07775996510560494,
      0.07669621129553965,
      0.07564678569826735,
      0.07461149430769375,
      0.07359014595680705,
      0.07258255191061454,
      0.07158852615220174,
      0.07060788519791791,
      0.06964044808134293,
      0.06868603625387662,
      0.06774447371053686,
      0.06681558676574847,
      0.06589920409202586,
      0.06499515682783782,
      0.06410327828734814,
      0.0632234040980815,
      0.062355372083239026,
      0.061499022419144206,
      0.06065419737858932,
      0.059820741374527135,
      0.058998500906615965,
      0.05818732462403802,
      0.05738706319245967,
      0.0565975693403059,
      0.05581869789383977,
      0.0550503055528056,
      0.05429225091496416,
      0.05354439454894093,
      0.05280659890294843,
      0.05207872828387589,
      0.05136064890722872,
      0.05065222880799589,
      0.04995333777740111,
      0.04926384733177845,
      0.048583630745154434,
      0.047912563005854635,
      0.04725052083994532,
      0.0465973826841925,
      0.045953028579664816,
      0.045317340109294425,
      0.04469020051982284,
      0.044071494652580846,
      0.04346110895368431,
      0.04285893136939448,
      0.04226485129823946,
      0.04167875966294194,
      0.041100541865813384,
      0.0405300778362367,
      0.03996725284186624,
      0.03941195725642017,
      0.03886408525137174,
      0.038323533963827344,
      0.03779020327072476,
      0.03726399508653601,
      0.03674481307010351,
      0.036232562519251055,
      0.035727150338401625,
      0.035228484755011925,
      0.034736475397248744,
      0.034251033208318085,
      0.03377207033749118,
      0.0332995001057821,
      0.032833237055296643,
      0.032373196857314865,
      0.03191929637109426,
      0.03147145363384026,
      0.03102958772826084,
      0.0305936187144156,
      0.030163467838972332,
      0.029739057411888935,
      0.029320310788952763,
      0.028907152396661688,
      0.0284995075638412,
      0.02809730262432144,
      0.02770046492755643,
      0.02730892276779641,
      0.026922605434263027,
      0.02654143937431914,
      0.02616533210340875,
      0.025794191442378604,
      0.02542793736074959,
      0.02506649704484528,
      0.024709801528527284,
      0.02435778457103788,
      0.024010381990855607,
      0.023667531318840498,
      0.023329171668461563,
      0.022995243268323775,
      0.022665687450933777,
      0.022340446441939894,
      0.0220194635029396,
      0.02170268265836783,
      0.021390048698995728,
      0.021081507235899057,
      0.020777004616424687,
      0.020476487866672693,
      0.020179904688861095,
      0.019887203619364472,
      0.019598333890519435,
      0.01931324523178118,
      0.019031888162505266,
      0.018754213804488346,
      0.01848017393213386,
      0.018209720827806117,
      0.01794280764865604,
      0.01767938804541846,
      0.017419416337292985,
      0.017162847332566088,
      0.016909636476181,
      0.016659739821212476,
      0.01641311403483563,
      0.016169716285550993,
      0.015929504215262544,
      0.01569243613583449,
      0.015458470941979068,
      0.015227567873688026,
      0.014999686897244378,
      0.014774788503565813,
      0.01455283369968207,
      0.014333783868395943,
      0.014117601005062692,
      0.01390424756842974,
      0.013693686517948713,
      0.013485881276586108,
      0.01328079582911982,
      0.013078394587222656,
      0.01287864232628523,
      0.012681504454253556,
      0.012486946634265002,
      0.012294935127123301,
      0.012105436607917729,
      0.011918418277206718,
      0.011733847579473043,
      0.011551692450891453,
      0.01137192130161279,
      0.011194503006256264,
      0.011019406756436291,
      0.010846602086233063,
      0.01067605899347461,
      0.010507747968538927,
      0.010341639683518358,
      0.010177705340107455,
      0.010015916537440321,
      0.009856245160633563,
      0.009698663518616538,
      0.009543144248237321,
      0.009389660314864844,
      0.009238185078234928,
      0.009088692238658554,
      0.008941155848475858,
      0.008795550343742813,
      0.008651850424705206,
      0.008510031153921148,
      0.008370067985457915,
      0.008231936649635067,
      0.008095613076774649,
      0.007961073614411191,
      0.007828294883674996,
      0.007697253890975775,
      0.007567927906044822,
      0.00744029442994213,
      0.007314331297661257,
      0.0071900166610161815,
      0.007067328979230305,
      0.006946246959853767,
      0.006826749577091873,
      0.006708816027274261,
      0.00659242594637121,
      0.006477559068963772,
      0.0063641954861137565,
      0.006252315490773989,
      0.00614189970397394,
      0.006032928960750955,
      0.005925384342817957,
      0.0058192471427055996,
      0.005714498987362748,
      0.005611121683515878,
      0.005509097241434468,
      0.005408408020827943,
      0.005309036521488677,
      0.005210965543737506,
      0.0051141768999933375,
      0.005018647609080697,
      0.004924354685340919,
      0.004831277617530531,
      0.004739397461238412,
      0.004648696694777131,
      0.004559158705047046,
      0.004470767538072255,
      0.00438350769632227,
      0.004297364211596381,
      0.004212322439826989,
      0.004128367971897453,
      0.004045486837972938
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567462062815808,
      10.339145741151919,
      10.103874430006488,
      9.864398125685737,
      9.62299313989828,
      9.381660971625832,
      9.142117801825547,
      8.905781822097211,
      8.673803084957285,
      8.44706060556491,
      8.226163469981321,
      8.01146376634679,
      7.803081196965694,
      7.600936515718427,
      7.404789823663218,
      7.214277280904835,
      7.028947726676476,
      6.848296656223723,
      6.671795850189343,
      6.498917306249543,
      6.329154801128745,
      6.162041694843705,
      5.997164331232604,
      5.834173826285698,
      5.672792544966113,
      5.512816012533098,
      5.354110744361542,
      5.196617352066762,
      5.040349315527506,
      4.885396468848225,
      4.7319099604599995,
      4.580087719954565,
      4.430181047542429,
      4.282493620573902,
      4.137370228062031,
      3.9951973177237274,
      3.856391295365039,
      3.7213594039014386,
      3.5904842832541486,
      3.464113788752864,
      3.342552635772488,
      3.226056149582988,
      3.1148267181520186,
      3.009012832991825,
      2.90870553471809,
      2.813935141271916,
      2.724677212070241,
      2.640845944029887,
      2.5623068496193144,
      2.4888743329096052,
      2.4203108785744014,
      2.3563605634644196,
      2.296738789781903,
      2.241137417995022,
      2.189220481490548,
      2.1406049192323398,
      2.094905111481437,
      2.051772837677563,
      2.0108757191756648,
      1.971902836134555,
      1.934594394941034,
      1.8987485880986787,
      1.8642072321681047,
      1.8308422448726036,
      1.7985440622361486,
      1.7672186491677297,
      1.7367902821179602,
      1.7071971232716048,
      1.6783876206321227,
      1.6503174786659438,
      1.6229456021111694,
      1.5962352425991726,
      1.5701545601059457,
      1.5446754291181493,
      1.51977259177959,
      1.4954230534043529,
      1.471605646461294,
      1.4483007121457359,
      1.425489866840134,
      1.4031558268661475,
      1.3812822758593033,
      1.3598542934078264,
      1.338858250024584,
      1.3182809599512033,
      1.2981101164882785,
      1.2783340333543842,
      1.2589412198346075,
      1.2399204649668745,
      1.2212608875996436,
      1.2029519634834538,
      1.1849835388035583,
      1.1673458315592449,
      1.1500294280262797,
      1.1330253237880679,
      1.116325593721265,
      1.0999231032335155,
      1.0838110276595487,
      1.0679824864382914,
      1.0524305677196024,
      1.0371484190828058,
      1.0221293069418607,
      1.0073666535128343,
      0.9928540591718742,
      0.9785857134325787,
      0.9645570229240173,
      0.9507633325148227,
      0.9371997643581664,
      0.9238613465134213,
      0.9107430981507854,
      0.8978400857282425,
      0.8851474591370965,
      0.8726604746398577,
      0.860374508038548,
      0.8482855874458645,
      0.8363910920084666,
      0.8246881876029276,
      0.8131736564255805,
      0.8018440611066945,
      0.7906958538209691,
      0.7797254488081543,
      0.7689292704805283,
      0.7583037843560237,
      0.7478455163870582,
      0.73755106523246,
      0.7274171095357178,
      0.7174404106038706,
      0.7076178143019825,
      0.697946250835853,
      0.688422733403039,
      0.6790443368501017,
      0.6698081097297716,
      0.6607111250293503,
      0.6517502151077861,
      0.6429219764292332,
      0.6342233084851917,
      0.6256513868393604,
      0.617203593387789,
      0.6088774682687346,
      0.6006706769975899,
      0.592580986747621,
      0.5846062498216237,
      0.5767443918403928,
      0.5689934034108198,
      0.5613513336372267,
      0.5538162853194434,
      0.5463864115848117,
      0.5390599125584472,
      0.5318350329917797,
      0.5247100600408326,
      0.5176833213775579,
      0.510753184276977,
      0.5039180535513156,
      0.49717637006529514,
      0.4905266100676815,
      0.4839672837175737,
      0.4774969340066729,
      0.47111413590483575,
      0.46481749509825954,
      0.45860564716424906,
      0.4524772568311905,
      0.4464310168202455,
      0.44046564716177655,
      0.4345798943306867,
      0.4287725306351917,
      0.423042353457647,
      0.4173881844261371,
      0.4118088687742785,
      0.4063032744345619,
      0.40087029191049234,
      0.39550883322729613,
      0.39021783143770555,
      0.38499624027904766,
      0.37984303355191074,
      0.3747572043751863,
      0.3697377647508398,
      0.3647836927986462,
      0.3598937519551844,
      0.3550667255782095,
      0.3503015113164497,
      0.3455970902644237,
      0.34095250538686067,
      0.3363668468430266,
      0.3318392417565587,
      0.3273688465773313,
      0.3229548425208986,
      0.3185964317665762,
      0.3142928347479192,
      0.31004328846367024,
      0.3058470453474816,
      0.3017033717650467,
      0.2976115866996805,
      0.29357117950764294,
      0.28958164077880194,
      0.2856424081017682,
      0.28175289160933964,
      0.2779128042845538,
      0.2741222868895576,
      0.270381318548234,
      0.26668987161582447,
      0.2630480570128789,
      0.2594557645581626,
      0.2559126865183736,
      0.25241838545988987,
      0.24897233997148346,
      0.24557397569313716,
      0.24222268574979325,
      0.2389178449676367,
      0.23565881931309862,
      0.23244497216905452,
      0.22927566837600066,
      0.22615027697025414,
      0.2230681730882468,
      0.2200287363370616,
      0.21703128793780613,
      0.21407512981364654,
      0.21115960730611444,
      0.20828409804523748,
      0.20544800404686736,
      0.2026507465830653,
      0.1998917626869708,
      0.19717050270713327,
      0.19448642838154806,
      0.19183901178007354,
      0.18922773457839048,
      0.18665208715192638,
      0.18411156837788523,
      0.18160568521539558,
      0.17913395225507514,
      0.1766958915025045,
      0.17429103226882608,
      0.17191891113019522,
      0.1695790715935627,
      0.16727106395161312,
      0.164994445269327,
      0.16274877915908095,
      0.16053363562963463,
      0.15834859108583088,
      0.15619322819906156,
      0.15406713562869323,
      0.1519699081927815,
      0.1499011465528263,
      0.14786045724597283,
      0.1458474525042706,
      0.14386175018554007,
      0.14190297372698552,
      0.13997075204439452,
      0.13806471935244505,
      0.1361845150637567,
      0.13432978377340068,
      0.13250017529691732,
      0.13069534443790815,
      0.12891495088525565,
      0.12715865923973765,
      0.12542613887115184,
      0.1237170638348723,
      0.12203111285367241,
      0.12036796925720218,
      0.1187273207449546,
      0.11710885950034901,
      0.11551228210280946,
      0.11393728944757078,
      0.11238358653332495,
      0.11085088258097892,
      0.10933889085460984,
      0.10784732875658412,
      0.10637591752272303,
      0.10492438237540472,
      0.1034924524611969,
      0.10207986040045347,
      0.10068634289223183,
      0.09931164026396931,
      0.097955496332705,
      0.09661765859609611,
      0.09529787802874891,
      0.09399590903070724,
      0.09271150942572542,
      0.09144444043308127,
      0.09019446650521419,
      0.08896135546244185,
      0.08774487844889925,
      0.0865448095754904,
      0.08536092608884226,
      0.08419300837581001,
      0.0830408398842599,
      0.08190420702568194,
      0.08078289915852348,
      0.0796767084259645,
      0.07858543001413282,
      0.07750886185809452,
      0.07644680463142935,
      0.07539906180273817,
      0.07436543951459981,
      0.073345746599581,
      0.07233979450731504,
      0.07134739721863453,
      0.07036837134417152,
      0.06940253593015261,
      0.06844971247039708,
      0.06750972509589104,
      0.06658240028391764,
      0.0656675668086281,
      0.0647650557089554,
      0.06387470032553762,
      0.06299633642914375,
      0.06212980204277032,
      0.06127493729452592,
      0.06043158450422815,
      0.05959958818897935,
      0.05877879505481826,
      0.057969053808625215,
      0.05717021514321383,
      0.056382131761385706,
      0.05560465852525368,
      0.05483765223199104,
      0.05408097165788681,
      0.053334477472715865,
      0.05259803223766787,
      0.051871500283420094,
      0.05115474780137484,
      0.05044764291008031,
      0.04975005552553879,
      0.049061857282868764,
      0.04838292149615142,
      0.04771312329636158,
      0.04705233940735359,
      0.04640044830649852,
      0.045757330108544825,
      0.04512286655783611,
      0.044496940959944366,
      0.04387943820164709,
      0.043270244834428075,
      0.042669248827167064,
      0.04207633972807295,
      0.04149140851147719,
      0.040914347652817894,
      0.040345051129761,
      0.03978341013374483,
      0.03922930805098532,
      0.03868263239155183,
      0.03814327585292334,
      0.03761113515444285,
      0.03708611011620508,
      0.03656810310637391,
      0.03605701858721472,
      0.03555276278684433,
      0.035055243546591515,
      0.03456437028591271,
      0.03408005382361727,
      0.03360220617293893,
      0.033130740652916116,
      0.0326655719156538,
      0.03220661568611615,
      0.031753788830674694,
      0.03130700936626034,
      0.030866196470845448,
      0.03043127040617774,
      0.030002152489150297,
      0.029578765089700126,
      0.029161031581824155,
      0.028748876412980122,
      0.028342225082227133,
      0.027941003963324485,
      0.02754514047489718,
      0.027154562980946227,
      0.026769200898828324,
      0.026388984581949382,
      0.02601384406845272,
      0.025643692582336997,
      0.025278439702110526,
      0.024918005770171156,
      0.024562316987579904,
      0.02421130375149555,
      0.023864899714968132,
      0.023523040999345397,
      0.023185665658053238,
      0.022852713325917075,
      0.02252412487484655,
      0.02219984231580445,
      0.02187980868632753,
      0.021563967929163232,
      0.02125226483974424,
      0.020944645002596105,
      0.020641054757967826,
      0.02034144125560251,
      0.02004575229220245,
      0.01975393642504393,
      0.01946594291026207,
      0.019181721650467557,
      0.018901223227434823,
      0.018624398790977804,
      0.018351200230271807,
      0.01808158006798597,
      0.017815491414159303,
      0.01755288795396493,
      0.017293724040147566,
      0.01703795459003441,
      0.016785535182500626,
      0.016536421883805146,
      0.016290571380806328,
      0.016047940861888734,
      0.015808488167253994,
      0.01557217170630481,
      0.01533895036450318,
      0.015108783679412652,
      0.014881631656544055,
      0.014657454695229782,
      0.014436213827657075,
      0.014217870553427046,
      0.01400238693028579,
      0.013789725603450594,
      0.013579849531752196,
      0.013372722236907355,
      0.013168307711166578,
      0.01296657037804845,
      0.012767475149960156,
      0.012570987525824492,
      0.012377073252305616,
      0.012185698609192235,
      0.011996830359901595,
      0.011810435684691624,
      0.011626482134474331,
      0.011444937777207958,
      0.0112657711171811,
      0.011088951009491926,
      0.010914446658754236,
      0.010742227733612757,
      0.010572264335349999,
      0.010404526889214293,
      0.010238986212845275,
      0.010075613540899888,
      0.00991438046948673,
      0.009755258978445574,
      0.00959822149932732,
      0.00944324062264852,
      0.009290289442253326,
      0.009139341411378269,
      0.00899037031490352,
      0.008843350140970416,
      0.008698255379727063,
      0.008555060840527083,
      0.008413741635668567,
      0.008274273184630856,
      0.00813663130204012,
      0.008000792039122951,
      0.00786673174875265,
      0.007734427164381031,
      0.007603855283344963,
      0.007474993422893656,
      0.0073478191946313425,
      0.007222310505876101,
      0.007098445460215808,
      0.006976202640496433,
      0.006855560770248683,
      0.006736498827435831,
      0.006618996203705807,
      0.006503032426247401,
      0.006388587325475184,
      0.006275641025969703,
      0.006164173919235853,
      0.006054166644128086,
      0.005945600048885266,
      0.005838455230527973,
      0.0057327135878765065,
      0.005628356735749607,
      0.005525366585629975,
      0.0054237251981832475,
      0.005323414846449142,
      0.005224418187969323,
      0.005126718012339212,
      0.005030297326253011,
      0.00493513943313182,
      0.004841227714846459,
      0.004748545878239382,
      0.0046570778466440465,
      0.00456680774131953,
      0.004477719793652594,
      0.004389796267512698,
      0.004303015531276526,
      0.004217357374171373,
      0.004132803587574319,
      0.004049337302255811,
      0.003966942705725936
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56745403619808,
      10.339119246139358,
      10.10382171939158,
      9.864314223951729,
      9.622874790807195,
      9.381506264927083,
      9.141926286756235,
      8.905553442328518,
      8.673538070112238,
      8.44675947374737,
      8.225826870983061,
      8.01109235753859,
      7.80267555063506,
      7.600497066151454,
      7.404316837969573,
      7.213770855589173,
      7.028407811479451,
      6.847723085618242,
      6.671188426951143,
      6.498275886643575,
      6.328479298535451,
      6.161332148259547,
      5.996421156045406,
      5.83339776061093,
      5.671984614250673,
      5.5119775854776645,
      5.353243575123046,
      5.1957236509518046,
      5.039431740756762,
      4.8844581093002475,
      4.73095420227383,
      4.579118505664621,
      4.429202749666775,
      4.2815108816157315,
      4.136387947911868,
      3.994221069485107,
      3.855426760469881,
      3.720411970224991,
      3.589558951661034,
      3.463215092223967,
      3.3416845733606912,
      3.2252221373061767,
      3.1140295407532155,
      3.008254648711576,
      2.9079877804400573,
      2.8132584651386527,
      2.7240415027897034,
      2.6402499229348635,
      2.5617486077547857,
      2.488351256215934,
      2.419819952006066,
      2.355898731309391,
      2.2963026268736764,
      2.240723295640674,
      2.1888246203977633,
      2.1402231198897144,
      2.094533516224657,
      2.0514079107230985,
      2.010514168119766,
      1.9715419944264152,
      1.934232274995428,
      1.8983837274349373,
      1.8638385568018323,
      1.8304689713279862,
      1.7981655263660838,
      1.766834359870431,
      1.7363999311779568,
      1.7068005339783898,
      1.677984709257898,
      1.6499082423162856,
      1.622530106651041,
      1.5958135751414548,
      1.5697268218252454,
      1.5442417304078893,
      1.519333048739557,
      1.4949777856601338,
      1.4711547742805038,
      1.4478443555444818,
      1.4250281449474123,
      1.4026888577466874,
      1.3808101751636954,
      1.3593771949904547,
      1.338376288469708,
      1.3177942770527356,
      1.297618871142663,
      1.277838365217625,
      1.2584412544120809,
      1.239416317501289,
      1.220752665807084,
      1.2024397695432492,
      1.1844674698882962,
      1.1668259810393606,
      1.1495058862796357,
      1.132498194177631,
      1.115794999867323,
      1.09938916753395,
      1.0832738641785697,
      1.0674421972060726,
      1.0518872461453246,
      1.0366021524976787,
      1.0215801778666853,
      1.0068147407698513,
      0.9922994391469667,
      0.9780286268335547,
      0.9639977259041497,
      0.950202019520323,
      0.9366365869455775,
      0.9232964263865323,
      0.9101765363722617,
      0.8972719691905208,
      0.8845778647106154,
      0.8720894720747286,
      0.8598021620321686,
      0.8477122157620295,
      0.8358170335115829,
      0.8241136833783689,
      0.81259888178496,
      0.8012691459819031,
      0.7901208972915295,
      0.7791505292185549,
      0.7683544517316473,
      0.7577291203952123,
      0.7472710546957869,
      0.7369768486085594,
      0.726843177166991,
      0.7168667995289824,
      0.7070445598643526,
      0.6973733868946587,
      0.6878502928361172,
      0.6784723710930015,
      0.669236734892825,
      0.6601404421202537,
      0.6511803306436383,
      0.6423529833331587,
      0.6336552773495128,
      0.6250843728809797,
      0.6166376410339045,
      0.6083126146839123,
      0.600106954307991,
      0.5920184234281956,
      0.584044871860507,
      0.5761842237096555,
      0.5684344682620001,
      0.5607936536634238,
      0.553259882234826,
      0.5458313061030902,
      0.5385061249050223,
      0.5312825828220148,
      0.5241589664265528,
      0.5171336033958696,
      0.5102048604229523,
      0.5033711417785891,
      0.49663088832809266,
      0.48998257586445604,
      0.483424714111383,
      0.47695584576571887,
      0.47057454538242954,
      0.4642794183858942,
      0.4580690999587784,
      0.45194225444870934,
      0.44589757438159383,
      0.43993377946774775,
      0.4340496158583947,
      0.42824385545283555,
      0.4225152951841928,
      0.41686275631227865,
      0.4112850836001222,
      0.40578114488487327,
      0.40034983015696274,
      0.39499005121745495,
      0.3897007408994231,
      0.3844808525680536,
      0.37932935954532293,
      0.37424525456302415,
      0.3692275493485809,
      0.3642752086054356,
      0.35938697672503994,
      0.3545616475226842,
      0.34979812563209683,
      0.3450953968952206,
      0.34045250744937317,
      0.33586854937826727,
      0.33134265103301064,
      0.32687396989257744,
      0.32246168763470817,
      0.3181050066136176,
      0.3138031473902169,
      0.3095553470285548,
      0.3053608575943587,
      0.30121894542492145,
      0.2971289548560088,
      0.2930903901428023,
      0.28910272798480463,
      0.2851653965714896,
      0.2812778317594693,
      0.27743994042711184,
      0.27365186894333515,
      0.26991351581224154,
      0.26622484132490426,
      0.2625859177933638,
      0.258996590974711,
      0.2554565234667479,
      0.25196525771421496,
      0.24852225880448184,
      0.24512694301368634,
      0.2417786972112457,
      0.23847689207083458,
      0.2352208906902499,
      0.23201005446080525,
      0.22884374686975426,
      0.2257213361426004,
      0.22264219696470927,
      0.21960570265530246,
      0.2166111659034231,
      0.2136578932735894,
      0.21074523335472345,
      0.20787256579525687,
      0.20503929406835,
      0.2022448404736566,
      0.19948864264459873,
      0.19677015120564267,
      0.19408882830382487,
      0.1914441462846457,
      0.18883558697853103,
      0.18626264092139289,
      0.1837248069652694,
      0.18122159198489662,
      0.17875251067989853,
      0.17631708519251665,
      0.17391484476872768,
      0.17154532607284054,
      0.1692080726172087,
      0.166902634737379,
      0.16462856947604904,
      0.16238544034444555,
      0.16017281753943546,
      0.15799027740854316,
      0.15583740257390363,
      0.1537137818121094,
      0.1516190098681066,
      0.14955268757202475,
      0.147514421419187,
      0.14550382366246542,
      0.1435205121981469,
      0.14156411037883632,
      0.13963424717932874,
      0.13773055685093585,
      0.13585267884572286,
      0.13400025790239256,
      0.13217294382999065,
      0.13037039144677404,
      0.1285922604768135,
      0.12683821563385514,
      0.12510792624287287,
      0.12340106636600212,
      0.12171731479037178,
      0.12005635489113542,
      0.11841787445149685,
      0.11680156571313902,
      0.1152071252563582,
      0.11363425398317442,
      0.11208265694270712,
      0.11055204344370248,
      0.10904212683719333,
      0.10755262442075657,
      0.10608325757842804,
      0.1046337515333514,
      0.10320383549487123,
      0.10179324232288314,
      0.10040170866887585,
      0.09902897483697198,
      0.09767478475292835,
      0.09633888588175898,
      0.09502102934833954,
      0.09372096958081787,
      0.0924384644486645,
      0.09117327531737504,
      0.08992516670165578,
      0.08869390641971783,
      0.08747926554865441,
      0.0862810184234869,
      0.08509894238348945,
      0.08393281780596455,
      0.08278242819182503,
      0.0816475599570986,
      0.0805280026228716,
      0.07942354851043765,
      0.07833399274246755,
      0.07725913326980385,
      0.07619877095641772,
      0.07515270932165577,
      0.07412075452430808,
      0.07310271554069207,
      0.07209840375809372,
      0.07110763327381531,
      0.07013022069470255,
      0.0691659852548113,
      0.0682147485893594,
      0.0672763347657278,
      0.06635057031373492,
      0.06543728406140091,
      0.06453630724648979,
      0.06364747329319898,
      0.06277061804570784,
      0.06190557954923504,
      0.06105219797924932,
      0.060210315798121326,
      0.059379777656316336,
      0.058560430145881325,
      0.05775212201900724,
      0.0569547041954482,
      0.056168029453428595,
      0.05539195272249108,
      0.054626330897415115,
      0.05387102270134564,
      0.05312588894035072,
      0.0523907921965379,
      0.05166559690631761,
      0.050950169502986614,
      0.050244378092935194,
      0.04954809257701335,
      0.04886118463891653,
      0.04818352781018312,
      0.04751499724630293,
      0.04685546979866988,
      0.04620482386374942,
      0.04556293974710172,
      0.04492969922053751,
      0.04430498567936946,
      0.04368868410898068,
      0.04308068107948728,
      0.042480864660675195,
      0.04188912438708742,
      0.04130535140391493,
      0.04072943826875131,
      0.040161279061374185,
      0.03960076914914999,
      0.03904780547917863,
      0.03850228468579716,
      0.03796409541032528,
      0.03743312669930928,
      0.03690927330483967,
      0.03639243407471796,
      0.03588251112563016,
      0.03537940925126674,
      0.03488303527108323,
      0.034393297949666404,
      0.03391010758020441,
      0.03343337603204102,
      0.03296301643833864,
      0.03249894327039423,
      0.03204107218789869,
      0.031589320259937104,
      0.03114360551059132,
      0.030703847098055008,
      0.030269965326195632,
      0.029841881609896814,
      0.02941951838101248,
      0.029002799154102483,
      0.028591648370429306,
      0.0281859915543194,
      0.02778575531136302,
      0.02739086712716233,
      0.02700125552910026,
      0.026616849882983303,
      0.02623758057481338,
      0.025863378967378337,
      0.025494177532295655,
      0.025129898463697783,
      0.024770452937001565,
      0.024415759356299027,
      0.024065742879762857,
      0.023720333575062653,
      0.023379465121506324,
      0.02304307390806595,
      0.02271109840285972,
      0.022383478765884444,
      0.022060156525724895,
      0.021741074401441334,
      0.021426176160947656,
      0.021115406483606967,
      0.020808710870651333,
      0.02050603572432287,
      0.02020732819531107,
      0.01991253616008073,
      0.019621608220252003,
      0.019334493653847155,
      0.0190511424074664,
      0.018771505167276704,
      0.018495533152992096,
      0.01822317836580956,
      0.017954393330181343,
      0.01768913132127218,
      0.017427346067265505,
      0.0171689919497436,
      0.016914024021987557,
      0.016662397883803387,
      0.01641406971720974,
      0.01616899628660904,
      0.015927134928200692,
      0.0156884434908225,
      0.015452880469794004,
      0.015220404805811804,
      0.014990976086724716,
      0.014764554389082633,
      0.014541100254991755,
      0.01432057477289123,
      0.014102939609392165,
      0.01388815685255692,
      0.013676189085909635,
      0.013466999356162487,
      0.013260551180938404,
      0.013056808666519152,
      0.01285573644980824,
      0.012657299432228142,
      0.012461463138424955,
      0.012268193485405933,
      0.012077456839893067,
      0.011889219969006628,
      0.01170345018972714,
      0.011520115056125841,
      0.01133918263954233,
      0.011160621530278497,
      0.010984400599797087,
      0.010810489139612665,
      0.010638856913269603,
      0.010469474094878724,
      0.010302311130751972,
      0.010137338943098125,
      0.009974528822298961,
      0.009813852377679986,
      0.009655281693423888,
      0.009498789238250554,
      0.009344347668023839,
      0.009191930157728286,
      0.009041510124199955,
      0.008893061465331385,
      0.008746558305158423,
      0.008601975070206807,
      0.008459286694619527,
      0.008318468337304027,
      0.008179495519715895,
      0.008042343928065653,
      0.007906989776002816,
      0.00777340948838822,
      0.007641579793489836,
      0.007511477765224479,
      0.007383080771216891,
      0.007256366517567129,
      0.0071313128978151025,
      0.007007898173323677,
      0.006886100875287064,
      0.006765899764818122,
      0.0066472739152016085,
      0.006530202705950348,
      0.006414665754687914,
      0.006300642938883119,
      0.0061881144058109315,
      0.006077060552142274,
      0.005967462099448645,
      0.005859299980414994,
      0.005752555340410892,
      0.005647209666991884,
      0.005543244526331319,
      0.0054406418154059645,
      0.005339383697261287,
      0.0052394526136458576,
      0.005140831139693461,
      0.00504350211929289,
      0.004947448648460251,
      0.0048526539963052616,
      0.004759101634857313,
      0.0046667753648802135,
      0.004575659048785243,
      0.004485736890875151,
      0.004396993146096997,
      0.004309412408477368,
      0.004222979442142427,
      0.004137679217157038,
      0.004053496844084595,
      0.003970417668174708,
      0.00388842719921824
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567446015377557,
      10.339092760981057,
      10.10376900878717,
      9.864230296971618,
      9.622756384562958,
      9.381351453890383,
      9.141734608310614,
      8.905324829400183,
      8.673272742352763,
      8.446457940472582,
      8.225489775689477,
      8.01072035161919,
      7.802269203245426,
      7.600056807932001,
      7.403842931796416,
      7.213263397407301,
      7.027866751412526,
      6.847148242010456,
      6.670579588730269,
      6.497632911952093,
      6.3278021013809385,
      6.1606207689711585,
      5.9956760124443855,
      5.832619594216865,
      5.671174454060567,
      5.511136804953457,
      5.3523739322947215,
      5.194827359376401,
      5.038511463850339,
      4.8835169421936016,
      4.729995516871421,
      4.578146229676339,
      4.428221261887111,
      4.280524831553933,
      4.135402242497178,
      3.99324129271864,
      3.854458607226371,
      3.719460840473253,
      3.5886298588954277,
      3.4623125810159223,
      3.3408126533737557,
      3.224384234778674,
      3.1132284491407227,
      3.0074925350167243,
      2.90726609117567,
      2.8125778584114207,
      2.7234018774016944,
      2.6396500110692798,
      2.56118651092882,
      2.4878243692952626,
      2.4193252685913613,
      2.355433119711787,
      2.2958626837230907,
      2.24030541242977,
      2.188424978461835,
      2.13983749060306,
      2.094158079516479,
      2.0510391621892174,
      2.010148836149818,
      1.9711774299105767,
      1.9338665049565718,
      1.8980152997978776,
      1.8634664043095839,
      1.830092315000994,
      1.7977837037649642,
      1.766446879504079,
      1.7360064838002802,
      1.7064009412891081,
      1.6775788860212368,
      1.6494961839358528,
      1.622111876361287,
      1.5953892572865345,
      1.569296515665054,
      1.5438055446383505,
      1.5188910976472974,
      1.4945301862518423,
      1.470701644945642,
      1.4473858144183875,
      1.4245643095486697,
      1.4022198436475208,
      1.3803360963346927,
      1.358898184128731,
      1.3378924786246342,
      1.3173058086283047,
      1.297125901142437,
      1.2773410313713998,
      1.2579396811926908,
      1.2389106191080979,
      1.220242948404213,
      1.2019261333604638,
      1.1839500105220977,
      1.1663047905128638,
      1.1489810539105474,
      1.1319698222070007,
      1.1152632109937812,
      1.0988540830335145,
      1.0827355971553894,
      1.0669008492540437,
      1.0513429099534908,
      1.0360549144496318,
      1.0210301195165752,
      1.006261940467392,
      0.9917439719814288,
      0.9774707330230705,
      0.963437661415201,
      0.9496399780050975,
      0.9360727192240973,
      0.9227308534868565,
      0.9096093588979611,
      0.8967032734380309,
      0.884007726922022,
      0.8715179613929195,
      0.8592293423665401,
      0.8471384046730002,
      0.8352425691280632,
      0.8235388066399847,
      0.812023766923788,
      0.8006939223927044,
      0.7895456638565542,
      0.7785753636638104,
      0.7677794176313908,
      0.7571542715103097,
      0.7466964378272763,
      0.736402505812272,
      0.7262691471572282,
      0.7162931186314271,
      0.7064712626979976,
      0.6968005069639844,
      0.6872778624234224,
      0.6779004219782213,
      0.6686653467792183,
      0.6595697347483244,
      0.6506104227204159,
      0.6417839758898924,
      0.6330872462263964,
      0.6245173764880851,
      0.6160717261430818,
      0.607747819963903,
      0.5995433127326739,
      0.5914559641757834,
      0.5834836213535034,
      0.5756242063335986,
      0.5678757070955329,
      0.5602361708663414,
      0.5527036989171125,
      0.5452764427946206,
      0.5379526014053786,
      0.530730418627088,
      0.5236081807148956,
      0.5165842146771971,
      0.5096568868139764,
      0.5028246012717337,
      0.4960857983668433,
      0.48943895359847017,
      0.4828825763902307,
      0.4764152091771703,
      0.47003542613196464,
      0.46374183227134613,
      0.45753306259313903,
      0.4514077810446206,
      0.44536467963158277,
      0.439402477646689,
      0.4335199209709031,
      0.4277157812991612,
      0.4219888552426326,
      0.4163379637181686,
      0.4107619512209301,
      0.4052596851617135,
      0.39983005519472997,
      0.3944719727428517,
      0.3891843702648011,
      0.3839662007756647,
      0.37881643724079583,
      0.37373407227930083,
      0.36871811710939134,
      0.3637675171577194,
      0.3588810058116339,
      0.3540573865064683,
      0.3492955705386153,
      0.3445945480631954,
      0.3399533681100983,
      0.33537112487843124,
      0.33084694784643265,
      0.3263799952058509,
      0.3219694490727486,
      0.3176145119897007,
      0.3133144045054106,
      0.30906836359580303,
      0.30487564129993056,
      0.30073550365675117,
      0.29664732922118664,
      0.29261062540162813,
      0.28862485614504285,
      0.2846894407711242,
      0.28080390787630155,
      0.2769683354888763,
      0.2731827937367122,
      0.2694471173828953,
      0.2657612611192627,
      0.26212526029658656,
      0.25853892142214535,
      0.25500188030587195,
      0.2515136614026696,
      0.24807371739582165,
      0.24468145646112585,
      0.2413362598829223,
      0.23803749442793118,
      0.23478452056676777,
      0.23157669807708586,
      0.22841338925287663,
      0.22529396150236405,
      0.22221778896270422,
      0.21918423880853055,
      0.2161926153770111,
      0.21324222992678987,
      0.21033243409220856,
      0.2074626096553242,
      0.20463216157231578,
      0.2018405129538262,
      0.1990871021594695,
      0.1963713804309381,
      0.19369281023392876,
      0.1910508641247014,
      0.18844502395993118,
      0.18587478038343871,
      0.1833396323343406,
      0.18083908667647466,
      0.17837265812678035,
      0.17593986885950572,
      0.17354024826820583,
      0.17117333292373066,
      0.16883866634622058,
      0.1665357988901823,
      0.16426428767251675,
      0.16202369625698868,
      0.15981359470504608,
      0.15763355944070434,
      0.15548317315760543,
      0.15336202466023952,
      0.15126970874101942,
      0.14920582615646602,
      0.14716998344825824,
      0.14516179288230383,
      0.1431808725186232,
      0.14122684568711202,
      0.13929934129292004,
      0.13739799359680258,
      0.13552244219644946,
      0.13367233189606714,
      0.13184731242609182,
      0.13004703862951045,
      0.12827117030100313,
      0.12651937209849495,
      0.12479131355244574,
      0.12308666868308579,
      0.1214051162742001,
      0.11974633975448634,
      0.11811002696673012,
      0.11649587021799106,
      0.11490356615979933,
      0.11333281565653573,
      0.11178332385232206,
      0.1102548000924445,
      0.1087469577824073,
      0.10725951439385562,
      0.10579219123585733,
      0.10434471364597973,
      0.10291681078758648,
      0.10150821565748677,
      0.10011866490257691,
      0.0987478989925947,
      0.09739566184578645,
      0.09606170097549921,
      0.0947457674897545,
      0.09344761591238532,
      0.09216700427060759,
      0.09090369385739656,
      0.08965744936772947,
      0.08842803867789906,
      0.08721523289669106,
      0.08601880635771396,
      0.08483853650891189,
      0.08367420386366163,
      0.08252559201384155,
      0.08139248742787503,
      0.08027467952917272,
      0.07917196078219242,
      0.07808412636941511,
      0.07701097442534387,
      0.07595230572089669,
      0.07490792386983072,
      0.07387763513155503,
      0.07286124852293793,
      0.07185857559605512,
      0.0708694305182655,
      0.06989362998998767,
      0.06893099326999522,
      0.06798134203866375,
      0.06704450043518588,
      0.06612029502780739,
      0.06520855476409544,
      0.06430911088253785,
      0.06342179702949886,
      0.06254644897165876,
      0.061682904873203916,
      0.06083100509491878,
      0.05999059213522652,
      0.05916151060462194,
      0.05834360719183524,
      0.05753673082255516,
      0.05674073239385989,
      0.05595546484019488,
      0.055180783137382165,
      0.05441654418036162,
      0.0536626068338848,
      0.05291883198712347,
      0.052185082316927124,
      0.05146122232546669,
      0.05074711839680357,
      0.05004263886417025,
      0.0493476536615428,
      0.04866203454735082,
      0.04798565505524759,
      0.04731839036247871,
      0.04666011746678384,
      0.04601071499801941,
      0.04537006322673196,
      0.044738044095140164,
      0.04411454098059654,
      0.04349943894836764,
      0.042892624590576876,
      0.04229398614167479,
      0.04170341323427734,
      0.04112079708017247,
      0.040546030320354864,
      0.03997900708402831,
      0.03941962283048828,
      0.03886777444449309,
      0.038323360330528536,
      0.03778628019805582,
      0.037256435176305704,
      0.03673372069720478,
      0.036218027777581076,
      0.035709252654408045,
      0.03520729607336082,
      0.034712062169975154,
      0.03422345780651348,
      0.03374139212874441,
      0.03326577630337438,
      0.03279652305057495,
      0.03233354647489948,
      0.03187676205739124,
      0.03142608661172518,
      0.030981438213568815,
      0.03054273603967037,
      0.030109900319103915,
      0.029682852495447012,
      0.029261515126422097,
      0.028845811768907624,
      0.028435666978946523,
      0.02803100641760306,
      0.02763175661753525,
      0.02723784523315166,
      0.026849200763772646,
      0.02646575277683282,
      0.026087431791169617,
      0.025714169087883702,
      0.025345897217520758,
      0.024982552400964773,
      0.024624065148934286,
      0.024270347397118492,
      0.02392131565003541,
      0.023576894008771655,
      0.023237012112090453,
      0.022901603499996884,
      0.02257060478095602,
      0.022243954925985392,
      0.021921594641751852,
      0.02160346609997682,
      0.021289512768545477,
      0.02097967911353679,
      0.020673910553729784,
      0.020372153399266932,
      0.020074354749502105,
      0.01978046251483696,
      0.019490425378057313,
      0.01920419259319365,
      0.01892171422561801,
      0.018642940988204976,
      0.01836782421359192,
      0.01809631584787278,
      0.017828368624933866,
      0.017563935817527982,
      0.01730297129593466,
      0.01704542955060892,
      0.016791265634725647,
      0.016540435210600907,
      0.016292894585673828,
      0.01604860063047152,
      0.015807510730255537,
      0.015569582853471617,
      0.015334775552202086,
      0.015103047875965602,
      0.014874359395641811,
      0.01464867029945359,
      0.014425941154118991,
      0.01420613320827947,
      0.013989208087744657,
      0.013775127950384315,
      0.013563855496720041,
      0.013355353900020074,
      0.013149586801813556,
      0.012946518360041376,
      0.012746113223080004,
      0.012548336378337063,
      0.012353153326509159,
      0.012160530048184529,
      0.011970433086601225,
      0.011782829276375329,
      0.011597685861589248,
      0.01141497051993861,
      0.011234651445868306,
      0.01105669723211409,
      0.010881076860988843,
      0.010707759665373994,
      0.01053671552018797,
      0.01036791457138112,
      0.010201327430616297,
      0.010036924989923894,
      0.009874678593832002,
      0.009714559996831216,
      0.009556541284307388,
      0.009400594922191297,
      0.009246693699515189,
      0.00909481084463709,
      0.008944919862723128,
      0.008796994686282481,
      0.008651009490048808,
      0.008506938818918173,
      0.008364757615086352,
      0.008224441011518787,
      0.008085964578022756,
      0.00794930419346493,
      0.007814436065736438,
      0.0076813366509851265,
      0.007549982739311517,
      0.0074203514209566345,
      0.007292420142713698,
      0.007166166644876834,
      0.007041568924796881,
      0.006918605175882614,
      0.00679725393112673,
      0.006677494150518338,
      0.006559304934769209,
      0.006442665729836797,
      0.006327556220703922,
      0.006213956283241498,
      0.00610184613447806,
      0.005991206184946507,
      0.005882017209770482,
      0.005774260133280727,
      0.005667916259526417,
      0.005562966950768626,
      0.005459394018788039,
      0.005357179386539907,
      0.005256305220984665,
      0.005156753874321065,
      0.005058508127511385,
      0.004961550798139102,
      0.004865864927328048,
      0.004771433878688912,
      0.004678241209349789,
      0.004586270694518915,
      0.004495506308179676,
      0.004405932236760213,
      0.004317532842210166,
      0.004230292778950843,
      0.004144196844434597,
      0.0040592300404688735,
      0.003975377527048785,
      0.003892624627623033,
      0.0038109569368636647
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567438006558959,
      10.339066308551448,
      10.103716348305465,
      9.864146428818003,
      9.622638034251969,
      9.381196684144346,
      9.141542946049183,
      8.90509619577632,
      8.67300734597161,
      8.446156281420695,
      8.22515248888958,
      8.010348083429095,
      7.801862518290276,
      7.599616134068442,
      7.403368530977666,
      7.212755363759015,
      7.027325034500817,
      6.846572660052251,
      6.669969930441567,
      6.4969890363550125,
      6.327123925002521,
      6.15990833510264,
      5.994929741111303,
      5.831840228109793,
      5.670363023873749,
      5.510294683599625,
      5.351502878934603,
      5.193929590012782,
      5.037589643843624,
      4.882574168348895,
      4.729035162432859,
      4.577172221371012,
      4.427237977704162,
      4.2795369215190675,
      4.134414613850137,
      3.9922595306636275,
      3.853488408901319,
      3.7185076091284563,
      3.5876986105589257,
      3.4614078628340224,
      3.3399384780254553,
      3.2235440313537786,
      3.112425014517711,
      3.0067280404286394,
      2.906541986134268,
      2.81189480371262,
      2.7227597762763556,
      2.6390476026491756,
      2.5606219050405343,
      2.4872949706914413,
      2.418828080316782,
      2.3549649941189017,
      2.2954202324971344,
      2.239884995937512,
      2.188022789061273,
      2.1394493108576222,
      2.093780108946484,
      2.0506679117481834,
      2.0097810485598364,
      1.9708104663720158,
      1.9334984002056366,
      1.8976446070126851,
      1.8630920596267613,
      1.8297135407908902,
      1.797399837603192,
      1.76605742982317,
      1.7356111405989663,
      1.705999524601544,
      1.6771713093806158,
      1.6490824410044103,
      1.6216920280916705,
      1.5949633865938473,
      1.5688647197257508,
      1.5433679295299523,
      1.5184477756894934,
      1.4940812728970316,
      1.4702472566933402,
      1.4469260684126986,
      1.42409932170275,
      1.4017497284960199,
      1.379860966067723,
      1.3584181696427655,
      1.3374077114629006,
      1.3168164279416892,
      1.296632063350036,
      1.276842873889635,
      1.2574373272907298,
      1.2384041817635765,
      1.2197325329041637,
      1.201411839205348,
      1.1834319326827956,
      1.1657830204456294,
      1.148455679871285,
      1.1314409454955021,
      1.1147309535429302,
      1.0983185655849081,
      1.0821969320568043,
      1.0663591371251688,
      1.0507982432102485,
      1.0355073789412332,
      1.0204797966662589,
      1.0057089077819308,
      0.9911883042698479,
      0.9769126695171325,
      0.9628774568998572,
      0.9490778254693248,
      0.9355087689384174,
      0.9221652262489834,
      0.9090421547413132,
      0.8961345779036296,
      0.8834376158716957,
      0.8709465035583138,
      0.8586566604209873,
      0.8465648445559655,
      0.8346684382313099,
      0.8229643247604093,
      0.8114490945588695,
      0.8001191794233652,
      0.788970942424549,
      0.7780007370542751,
      0.7672049458926836,
      0.75658000588588,
      0.7461224235518401,
      0.735828783839541,
      0.7256957555865403,
      0.7157200934048273,
      0.705898637951348,
      0.6962283156175888,
      0.6867061366586014,
      0.6773291929899317,
      0.6680946457638072,
      0.658999659058909,
      0.6500411151363447,
      0.6412155535543256,
      0.6325197956235921,
      0.6239509635776324,
      0.6155064027096993,
      0.6071836280077848,
      0.598980287447778,
      0.5908941360598927,
      0.582923017710719,
      0.5750648522248464,
      0.5673176259184441,
      0.5596793845917993,
      0.5521482285938983,
      0.5447223089425209,
      0.5373998238908613,
      0.5301790166320083,
      0.5230581731291676,
      0.5160356199749605,
      0.5091097230497047,
      0.5022788860435738,
      0.4955415490777724,
      0.488896187201953,
      0.48234130961250554,
      0.47587545830080763,
      0.46949720712834375,
      0.4632051607492203,
      0.4569979536898612,
      0.45087424959057226,
      0.44483274020693064,
      0.4388721445310159,
      0.4329912080869477,
      0.4271887021509347,
      0.4214634230257558,
      0.41581419129741726,
      0.41023985112842193,
      0.4047392695893827,
      0.3993113360835134,
      0.39395496163826726,
      0.3886690784215699,
      0.3834526391558284,
      0.3783046165076771,
      0.37322400250642396,
      0.3682098081457167,
      0.36326095362260724,
      0.35837616960003976,
      0.35355426840795556,
      0.3487941673123048,
      0.344094860599665,
      0.3394554001014465,
      0.3348748818266164,
      0.3303524363679267,
      0.3258872225537909,
      0.3214784228628076,
      0.31712523993738007,
      0.3128268944917152,
      0.3085826232990269,
      0.3043916782186748,
      0.3002533250409934,
      0.2961669763600516,
      0.29213214301400414,
      0.2881482761175737,
      0.2842147907324068,
      0.28033138164894383,
      0.27649821189639623,
      0.27271525735137364,
      0.2689822967942522,
      0.2652992855065864,
      0.2616662257428101,
      0.2580828872709924,
      0.2545488812328315,
      0.2510637152186685,
      0.24762683052131362,
      0.24423762749797642,
      0.24089548222625665,
      0.23759975796561497,
      0.23434981284245482,
      0.2311450048189315,
      0.22798469522444778,
      0.22486825074982478,
      0.22179504495609012,
      0.2187644389843348,
      0.21577572885408838,
      0.21282823044984467,
      0.20992129866242934,
      0.2070543173898741,
      0.20422669291379295,
      0.2014378493795096,
      0.19868722580411785,
      0.19597427383804353,
      0.19329845618350827,
      0.19065924562632888,
      0.1880561241690563,
      0.18548858258082007,
      0.18295611995560807,
      0.1804582431758832,
      0.17799446685299966,
      0.1755643132222445,
      0.1731673117515525,
      0.17080299903542218,
      0.16847091862962174,
      0.16617062091655507,
      0.16390166293686642,
      0.16166360831469506,
      0.15945602717461882,
      0.15727849599300747,
      0.15513059741543309,
      0.15301192025626864,
      0.150922059381372,
      0.14886061551846805,
      0.14682719520484266,
      0.1448214108083698,
      0.14284288026627745,
      0.14089122705626356,
      0.13896608015806844,
      0.13706707389133768,
      0.1351938478135685,
      0.13334604664633487,
      0.13152332018518473,
      0.1297253233203013,
      0.12795171596429253,
      0.12620216283666916,
      0.1244763334155383,
      0.12277390188531817,
      0.1210945470733509,
      0.11943795235020827,
      0.11780380562727634,
      0.11619179923525426,
      0.11460162995006717,
      0.11303299865189692,
      0.11148561051228982,
      0.10995917492831403,
      0.1084534053368808,
      0.10696801920779095,
      0.10550273803748962,
      0.10405728716506839,
      0.10263139574776485,
      0.10122479682525216,
      0.0998372271491476,
      0.09846842717118875,
      0.09711814092971684,
      0.09578611612633978,
      0.09447210383978431,
      0.09317585872226652,
      0.09189713878807484,
      0.0906357053539456,
      0.08939132314344725,
      0.08816376017435386,
      0.0869527876446429,
      0.08575817987439534,
      0.08457971436028641,
      0.08341717176177398,
      0.08227033570146895,
      0.08113899263298245,
      0.08002293211350157,
      0.0789219465750668,
      0.07783583138010823,
      0.07676438463885056,
      0.07570740731705448,
      0.07466470309916044,
      0.07363607830282344,
      0.07262134194622008,
      0.07162030569763739,
      0.07063278374564505,
      0.06965859293961593,
      0.06869755251978119,
      0.06774948434606123,
      0.0668142125765254,
      0.06589156386333384,
      0.06498136726842595,
      0.06408345412105207,
      0.06319765804003172,
      0.0623238149576224,
      0.06146176306302209,
      0.06061134277349727,
      0.05977239662146806,
      0.05894476930522291,
      0.05812830763019336,
      0.05732286057883658,
      0.05652827912135039,
      0.05574441629811902,
      0.05497112715401277,
      0.054208268746741506,
      0.053455700007189695,
      0.05271328178802352,
      0.051980876728495454,
      0.0512583495653745,
      0.05054556682459003,
      0.04984239680646867,
      0.049148709618711955,
      0.04846437706997002,
      0.04778927270661967,
      0.0471232718530398,
      0.04646625153440136,
      0.045818090520708454,
      0.04517866910362765,
      0.04454786921651675,
      0.043925574401545514,
      0.04331166982436494,
      0.042706042138987675,
      0.04210857958113906,
      0.041519171873615486,
      0.0409377102359251,
      0.040364087447232994,
      0.03979819769280732,
      0.039239936549399126,
      0.03868920103322866,
      0.03814588963742071,
      0.0376099022132326,
      0.03708113975758421,
      0.03655950485405041,
      0.036044901279977795,
      0.035537232185235676,
      0.03503639309763227,
      0.03454228104810871,
      0.03405479806643034,
      0.03357384998763997,
      0.03309934565518036,
      0.0326311963550207,
      0.03216931522123214,
      0.03171361711290192,
      0.03126401849475978,
      0.03082043709820201,
      0.030382791978131877,
      0.029951003429022047,
      0.029524992854449907,
      0.029104682778191553,
      0.028689996798900302,
      0.028280859545696306,
      0.027877196660323542,
      0.027478934786265844,
      0.02708600156801935,
      0.026698325813423233,
      0.02631583703054435,
      0.025938465756428893,
      0.025566143482351585,
      0.02519880264660705,
      0.024836379270260663,
      0.02447881178496103,
      0.02412603488399679,
      0.023777964954055018,
      0.023434516407606618,
      0.023095612209977148,
      0.02276118137653377,
      0.02243115743550495,
      0.022105477194459103,
      0.02178407991410232,
      0.021466906797073644,
      0.02115390063046299,
      0.02084500552359788,
      0.020540166644512223,
      0.020239330196189474,
      0.019942443211964513,
      0.019649453589998745,
      0.019360309946295482,
      0.019074961705942983,
      0.01879335891134213,
      0.01851545231274836,
      0.01824119335960222,
      0.01797053415679465,
      0.01770342740404356,
      0.017439826483967604,
      0.017179685323995993,
      0.016922958514773937,
      0.016669601144795366,
      0.016419569050682637,
      0.01617281851659949,
      0.01592930656747265,
      0.01568899062863974,
      0.015451828677065864,
      0.015217779305436122,
      0.01498680169995031,
      0.014758855556340681,
      0.014533901106520065,
      0.014311899000678781,
      0.014092810553929991,
      0.013876597454318849,
      0.013663222032705272,
      0.013452647025942012,
      0.013244835589558085,
      0.013039751458810794,
      0.012837358831736735,
      0.012637622362404795,
      0.012440507276663008,
      0.012245979133940644,
      0.012054003984860505,
      0.011864548301532836,
      0.011677579037073747,
      0.01149306353394726,
      0.011310969586720983,
      0.011131265449301212,
      0.01095391974865795,
      0.010778901507914829,
      0.010606180101229072,
      0.010435725394454188,
      0.010267507671369708,
      0.01010149759979725,
      0.00993766620563286,
      0.009775984816330678,
      0.00961642525385763,
      0.00945895962847553,
      0.009303560471280758,
      0.00915020069627432,
      0.008998853653071055,
      0.008849492869716431,
      0.008702092216028365,
      0.00855662595360449,
      0.008413068806698766,
      0.008271395576522579,
      0.00813158160882265,
      0.007993602493454785,
      0.007857434152964408,
      0.007723052767215601,
      0.007590435023587848,
      0.00745955764348269,
      0.007330397755704127,
      0.007202932920955183,
      0.00707714092293873,
      0.006952999712999403,
      0.006830487673492491,
      0.006709583354715249,
      0.006590265721663554,
      0.006472513975922629,
      0.006356307524919524,
      0.006241626028357602,
      0.006128449522067346,
      0.006016758275802563,
      0.005906532773249969,
      0.0057977538196929655,
      0.005690402473225653,
      0.005584459989401676,
      0.005479907836786911,
      0.0053767277190771715,
      0.005274901668891399,
      0.005174411920973614,
      0.005075240911721965,
      0.0049773713502943,
      0.00488078613147399,
      0.004785468357748433,
      0.004691401444704251,
      0.00459856894760089,
      0.004506954700524786,
      0.004416542721156466,
      0.004327317275257807,
      0.004239262700339583,
      0.004152363706751147,
      0.004066605056926742,
      0.0039819718681069404,
      0.003898449324953882,
      0.0038160228758172994,
      0.0037346781374147874
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567430009640391,
      10.339039890426703,
      10.103663743791456,
      9.864062629969018,
      9.622519754867541,
      9.381041978540914,
      9.141351335613741,
      8.904867592449255,
      8.672741950368383,
      8.445854589464918,
      8.224815133748548,
      8.009975707856539,
      7.801455684146273,
      7.599175268527434,
      7.402893895750489,
      7.212247053352401,
      7.026782998953999,
      6.845996719217911,
      6.6693598743870295,
      6.496344725063526,
      6.326445276249087,
      6.159195392392176,
      5.99418292487894,
      5.83106028201799,
      5.669550979854405,
      5.509451917650727,
      5.350631152187057,
      5.193031120101236,
      5.036667098627542,
      4.881630647901068,
      4.728074042529099,
      4.576197429046767,
      4.426253889756007,
      4.278548186288502,
      4.133426137504667,
      3.9912768979305677,
      3.852517316210724,
      3.7175534584894776,
      3.5867664172683242,
      3.46050217406923,
      3.3390633055987453,
      3.2227028039002557,
      3.111620529180883,
      3.0059624679132018,
      2.9058167772929,
      2.8112106220565525,
      2.7221165280677857,
      2.638444032861963,
      2.560056130214679,
      2.4867644020813526,
      2.418329727752703,
      2.3544957173380445,
      2.2949766502651356,
      2.239463463452267,
      2.187619488113325,
      2.1390600206174324,
      2.093401043343079,
      2.050295594480637,
      2.009412232002513,
      1.9704425192153223,
      1.933129362575361,
      1.8972730358129648,
      1.862716893828096,
      1.8293340046914597,
      1.7970152684915377,
      1.7656673351203278,
      1.7352152097026003,
      1.7055975771669196,
      1.6767632578325768,
      1.6486682776906239,
      1.6212718130176367,
      1.5945372012946197,
      1.5684326602388674,
      1.5429301017593195,
      1.5180042906726485,
      1.4936322448764112,
      1.4697928017021828,
      1.4464663021529727,
      1.423634359153733,
      1.4012796830631753,
      1.3793859495908807,
      1.3579383127936981,
      1.3369231454392927,
      1.3163272909263435,
      1.296138510737723,
      1.2763450419200002,
      1.2569353383669164,
      1.2378981480586286,
      1.2192225592208898,
      1.2008980245292316,
      1.1829143713412993,
      1.1652618032288053,
      1.1479308948076443,
      1.1309126933369518,
      1.1141993555607683,
      1.0977837421552208,
      1.0816589954102036,
      1.0658181875071397,
      1.0502543718995152,
      1.0349606712612005,
      1.019930333211679,
      1.0051567657946368,
      0.9906336116036932,
      0.9763556917735013,
      0.9623184215972238,
      0.9485169063518057,
      0.9349461030831021,
      0.9216009251493442,
      0.9084763122338602,
      0.8955672755625076,
      0.8828689264909005,
      0.8703764936952415,
      0.8580855255194246,
      0.8459929655524359,
      0.8340960837008241,
      0.822391688363051,
      0.8108763188448869,
      0.7995463719785934,
      0.7883981869866824,
      0.7774281012535232,
      0.7666324863479079,
      0.7560077715327159,
      0.7455504577706824,
      0.7352571263050319,
      0.7251244433591729,
      0.7151491618023678,
      0.7053281211516041,
      0.695658246358077,
      0.6861365469410473,
      0.6767601140356053,
      0.6675261072706581,
      0.6584317102396927,
      0.6494739007841901,
      0.6406492070401506,
      0.6319544148522255,
      0.6233866217919399,
      0.6149431564140507,
      0.6066215225934856,
      0.5984193605886888,
      0.5903344198550048,
      0.5823645404709522,
      0.5745076395026787,
      0.5667617013431977,
      0.5591247704879945,
      0.551594946283239,
      0.5441703787554019,
      0.5368492656774024,
      0.5296298496283208,
      0.5225104161457541,
      0.5154892915778051,
      0.508564841352583,
      0.5017354686965202,
      0.49499961334966996,
      0.4883557500308813,
      0.4818023874457172,
      0.47533806728370914,
      0.4689613631091693,
      0.46267087927745437,
      0.45646524993203447,
      0.4503431383672459,
      0.4443032360236912,
      0.4383442615779362,
      0.43246496018171465,
      0.42666410290496526,
      0.42094048547111235,
      0.4152929280673396,
      0.40972027463181254,
      0.40422139192597967,
      0.3987951690308935,
      0.39344051655701695,
      0.3881563662317406,
      0.3829416705626842,
      0.3777954017646092,
      0.3727165517075725,
      0.36770413120906104,
      0.3627570355649456,
      0.357873992686745,
      0.3530538235693233,
      0.34829545157494524,
      0.34359787508360895,
      0.33896014848704614,
      0.33438136952783143,
      0.3298606699762746,
      0.3253972092713188,
      0.32099017007425945,
      0.31663875526443325,
      0.3123421855403008,
      0.30809969764575207,
      0.30391054326765005,
      0.2997740012039583,
      0.2956895116486286,
      0.29165657526335803,
      0.2876746325222705,
      0.2837430982476824,
      0.27986188578073656,
      0.27603116828383634,
      0.27225083565794816,
      0.26852062794370646,
      0.26484049542211713,
      0.2612104002237745,
      0.25763007874024774,
      0.25409911936933927,
      0.2506170145385598,
      0.2471831952667719,
      0.2437970547551312,
      0.2404579643146309,
      0.23716528415887433,
      0.23391837018496292,
      0.23071657889397046,
      0.22755927052072367,
      0.22444581109840928,
      0.22137557375925643,
      0.21834791035921575,
      0.21536211312509082,
      0.2124175022336984,
      0.20951343538821315,
      0.2066492983760081,
      0.20382449879413497,
      0.20103846169874084,
      0.1982906267166607,
      0.1955804459737606,
      0.19290738241195265,
      0.19027090899894175,
      0.18767050787349326,
      0.1851056698311357,
      0.1825758939831674,
      0.18008068742306665,
      0.1776195648483031,
      0.17519204839142996,
      0.172797667507418,
      0.17043595880886622,
      0.1681064658875547,
      0.16580873905174986,
      0.16354233539231425,
      0.16130681865615923,
      0.1591017589910471,
      0.1569267328793618,
      0.15478132296728964,
      0.15266511809561592,
      0.1505777131181181,
      0.14851870871144757,
      0.1464877115762269,
      0.14448433403188773,
      0.1425081941303407,
      0.1405589153720336,
      0.13863612662924152,
      0.13673946224990272,
      0.13486856189808547,
      0.1330230703401478,
      0.13120263751330605,
      0.12940691832369325,
      0.12763557265027134,
      0.1258882652748849,
      0.12416466566224581,
      0.1224644480086691,
      0.12078729125476335,
      0.1191328788332679,
      0.11750089866010142,
      0.11589104312692132,
      0.11430300894886283,
      0.11273649718560204,
      0.11119121306632736,
      0.1096668659109727,
      0.10816316926848989,
      0.10667984063639802,
      0.10521660151803643,
      0.1037731773592361,
      0.10234929739649162,
      0.10094469477249762,
      0.09955910628296331,
      0.09819227240298234,
      0.0968439372687763,
      0.09551384850634152,
      0.09420175729481349,
      0.09290741841658706,
      0.09163058979184095,
      0.09037103294627717,
      0.08912851277904552,
      0.0879027972533352,
      0.08669365760656511,
      0.08550086824127369,
      0.08432420674794033,
      0.08316345377370576,
      0.08201839295301389,
      0.08088881101078468,
      0.07977449755220584,
      0.07867524500611653,
      0.07759084875967877,
      0.07652110703642145,
      0.07546582095946283,
      0.07442479416731682,
      0.07339783296348662,
      0.07238474650747337,
      0.07138534655811675,
      0.0703994474333468,
      0.06942686600759639,
      0.06846742169341782,
      0.06752093631439271,
      0.06658723417811024,
      0.0656661418843085,
      0.06475748854894693,
      0.0638611055790955,
      0.06297682679070811,
      0.06210448811199955,
      0.0612439278515528,
      0.06039498648828483,
      0.05955750660331393,
      0.05873133299757954,
      0.05791631260483823,
      0.05711229439001191,
      0.05631912948150459,
      0.05553667091991295,
      0.054764773859432306,
      0.054003295433572525,
      0.05325209464749457,
      0.052511032436452755,
      0.051779971559461305,
      0.051058776783279296,
      0.050347314714350465,
      0.04964545372052942,
      0.048953063980178985,
      0.04827001732516566,
      0.047596187478069256,
      0.04693144982902158,
      0.04627568144146219,
      0.04562876104542447,
      0.04499056909096095,
      0.04436098754732959,
      0.04373990007401388,
      0.043127191892451386,
      0.04252274982304423,
      0.04192646214053428,
      0.04133821865750887,
      0.04075791070587465,
      0.0401854310729726,
      0.03962067407376118,
      0.0390635353904499,
      0.038513912162245645,
      0.037971702826078486,
      0.03743680722959965,
      0.03690912654284116,
      0.03638856339121743,
      0.03587502159354513,
      0.03536840639427148,
      0.034868624258969375,
      0.034375582926181814,
      0.033889186532382855,
      0.03340933364549798,
      0.03293592690755924,
      0.03246887330496728,
      0.03200808330296117,
      0.03155346990110758,
      0.03110494818201811,
      0.030662435161251625,
      0.03022584924322837,
      0.029795110462445946,
      0.029370140069077486,
      0.02895086038970299,
      0.028537194933949534,
      0.028129068372164973,
      0.027726406380753927,
      0.02732913567598237,
      0.026937183937271122,
      0.02655047994410815,
      0.0261689533674126,
      0.02579253481891191,
      0.025421155884843675,
      0.02505474898549694,
      0.02469325006178431,
      0.024336597619049865,
      0.023984729649272066,
      0.023637583884749368,
      0.023295083652513822,
      0.022957141946451806,
      0.022623680266023693,
      0.02229462687560851,
      0.02196991506731735,
      0.021649481723094124,
      0.02133326639331331,
      0.021021210878865933,
      0.020713258502363746,
      0.020409354000688603,
      0.020109443157304188,
      0.019813472920883753,
      0.019521390968342767,
      0.019233145945204165,
      0.01894868725799943,
      0.01866796503492168,
      0.018390930108779114,
      0.018117533944853065,
      0.01784772879450962,
      0.01758146733613374,
      0.017318702928727028,
      0.01705938968964818,
      0.01680348225772206,
      0.01655093585070702,
      0.016301706312372308,
      0.01605575006031562,
      0.015813024099530403,
      0.01557348605106992,
      0.01533709395392422,
      0.015103806507942628,
      0.014873582994283067,
      0.014646383058574807,
      0.014422167004429573,
      0.014200895599513074,
      0.013982530175992906,
      0.013767032695545115,
      0.013554365402642758,
      0.01334449110926528,
      0.013137373131505953,
      0.012932975222262298,
      0.012731261651563682,
      0.012532197199988618,
      0.012335747096980916,
      0.012141876992547467,
      0.011950552949694231,
      0.011761741572171861,
      0.011575409835167852,
      0.01139152513391402,
      0.011210055346778864,
      0.011030968766365723,
      0.010854234108570766,
      0.01067982056827372,
      0.010507697571020116,
      0.010337834964795024,
      0.010170203022594098,
      0.010004772542168668,
      0.00984151462318939,
      0.009680400731900459,
      0.009521402729304226,
      0.009364492741543488,
      0.009209643451238111,
      0.009056827831402357,
      0.00890601906467309,
      0.008757190794487571,
      0.008610317002365264,
      0.008465371975863454,
      0.008322330449516094,
      0.008181167397395434,
      0.008041858214836972,
      0.007904378500956866,
      0.007768704230169604,
      0.007634811759675837,
      0.007502677615779694,
      0.0073722786752784325,
      0.00724359219557399,
      0.007116595655434197,
      0.006991266895620566,
      0.006867583974708593,
      0.006745525286493239,
      0.006625069494128003,
      0.006506195605737654,
      0.006388882859966734,
      0.00627311066357129,
      0.006158858765243984,
      0.006046107245929153,
      0.005934836415198667,
      0.005825026874015046,
      0.005716659393923499,
      0.005609714981662221,
      0.005504174988916942,
      0.00540002098839922,
      0.005297234822340748,
      0.005195798524757269,
      0.005095694295533271,
      0.0049969046914771255,
      0.00489941238586826,
      0.004803200316879258,
      0.004708251703214816,
      0.004614550016450646,
      0.004522078807976408,
      0.004430821994433119,
      0.0043407635590374145,
      0.004251887794077352,
      0.004164179162999364,
      0.0040776223793474,
      0.003992202257626817,
      0.003907903940073424,
      0.003824712679125927,
      0.003742613811419297,
      0.003661593050205481
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.5674220255373,
      10.339013506250918,
      10.103611192447874,
      9.863978900966663,
      9.62240155915703,
      9.380887364895365,
      9.141159821408042,
      8.904639084669682,
      8.67247664253952,
      8.4455529740693,
      8.2244778406404,
      8.009603379639326,
      7.801048883587681,
      7.598734422439813,
      7.402419266754634,
      7.211738736647388,
      7.026240945102649,
      6.845420749837718,
      6.668749762396737,
      6.495700335421923,
      6.325766530975312,
      6.1584823396541015,
      5.993435988343706,
      5.8302802082205565,
      5.668738803460329,
      5.508609016335777,
      5.349759289413701,
      5.1921325160377805,
      5.03574442410199,
      4.880687004915862,
      4.727112807467612,
      4.5752225277709515,
      4.425269697514657,
      4.277559350800135,
      4.132437562673664,
      3.990294164980189,
      3.85154611775408,
      3.7165991927523017,
      3.5858340950571512,
      3.459596337673312,
      3.3381879626966082,
      3.221861380003619,
      3.1108158188715946,
      3.0051966400631995,
      2.9050912801863085,
      2.8105261173853187,
      2.7214729228518704,
      2.6378400758983442,
      2.5594899426515236,
      2.4862333998030457,
      2.417830926401956,
      2.354025983937205,
      2.294532611045679,
      2.2390414823569946,
      2.1872156950570347,
      2.1386701720562526,
      2.0930213803523645,
      2.0499226634335725,
      2.009042804157497,
      1.9700739777318308,
      1.932759758371579,
      1.8969009338111165,
      1.862341238264572,
      1.8289540230673393,
      1.7966303001320634,
      1.7652768884533665,
      1.7348189744690539,
      1.705195373018103,
      1.6763549968536557,
      1.6482539521248059,
      1.6208514817918656,
      1.594110944614429,
      1.5680005732840254,
      1.542492289193076,
      1.5175608631391007,
      1.493183316266939,
      1.4693384870377828,
      1.4460067164874941,
      1.4231696166304382,
      1.4008098970371332,
      1.3789112316779517,
      1.3574587930712099,
      1.3364389540952295,
      1.3158385656400169,
      1.2956454056910127,
      1.2758476920961237,
      1.2564338651273617,
      1.237392663312801,
      1.2187131673746592,
      1.200384823888895,
      1.1823974556831247,
      1.1647412628209968,
      1.1474068169346052,
      1.1303851784478125,
      1.113668524406867,
      1.0972497144283508,
      1.0811218822399367,
      1.065278088690373,
      1.0497113788693633,
      1.034414869185187,
      1.0193818027293378,
      1.004605583988577,
      0.9900799384669506,
      0.9757998084393305,
      0.9617605384152934,
      0.9479571858273133,
      0.9343846742158642,
      0.9210378940437108,
      0.907911768997816,
      0.8950012989828006,
      0.8823015873574338,
      0.8698078573400698,
      0.8575157863272418,
      0.8454225035654404,
      0.8335251671704408,
      0.8218205104846863,
      0.8103050215622776,
      0.7989750624843769,
      0.7878269488885472,
      0.7768570021626778,
      0.7660615827204709,
      0.755437112048095,
      0.7449800859172702,
      0.7346870817459552,
      0.7245547631511503,
      0.7145798809873767,
      0.7047592733330503,
      0.6950898642893744,
      0.6855686624916035,
      0.6761927584761411,
      0.6669593103019995,
      0.6578654995915786,
      0.6489083844467654,
      0.6400845384039826,
      0.6313907049746218,
      0.6228239531744393,
      0.614381592073117,
      0.6060611119350393,
      0.5978601436808078,
      0.5897764306721863,
      0.5818078085082261,
      0.5739521912922021,
      0.5662075611400207,
      0.5585719607630076,
      0.5510434884324138,
      0.5436202933914157,
      0.5363005728101434,
      0.5290825686333207,
      0.5219645655970869,
      0.5149448894279435,
      0.5080219052822509,
      0.5011940161265148,
      0.4944596612427294,
      0.48781731504235687,
      0.48126548614389214,
      0.47480271562650495,
      0.4684275767023885,
      0.46213867329551667,
      0.4559346393378445,
      0.44981413787159275,
      0.44377585986087337,
      0.43781852373327906,
      0.4319408743334966,
      0.42614168218262827,
      0.4204197429197906,
      0.41477387636980284,
      0.40920292592661156,
      0.4037057580272916,
      0.3982812614390287,
      0.3929283466676435,
      0.3876459451596056,
      0.38243300888397225,
      0.37728850978845735,
      0.37221143923390354,
      0.3672008076374477,
      0.3622554860579122,
      0.3573741998615526,
      0.35255577889034884,
      0.3477991522264343,
      0.3431033220562722,
      0.3384673454514646,
      0.33389032175285516,
      0.3293713837720389,
      0.32490969167507544,
      0.3205044284985305,
      0.3161547972072222,
      0.31186001844611727,
      0.3076193289675634,
      0.3034319802341094,
      0.2992972685252603,
      0.29521465933494556,
      0.29118363873074965,
      0.2872036371684217,
      0.28327417898776863,
      0.2793953369222212,
      0.2755671886530189,
      0.2717895566394083,
      0.26806216671600747,
      0.26438496264442496,
      0.260757864985332,
      0.2571805821624381,
      0.25365268374516864,
      0.2501736491553886,
      0.24674290075361086,
      0.24335982600852213,
      0.24002379226865458,
      0.23673415687680988,
      0.23349027392549898,
      0.2302914986470332,
      0.22713719044746997,
      0.22402671486477596,
      0.22095944458581462,
      0.2179347203818823,
      0.21495183337276502,
      0.21201010774915435,
      0.20910890389006567,
      0.20624760954000548,
      0.20342563347696507,
      0.2006424015845516,
      0.19789735402925887,
      0.1951899431765257,
      0.1925196324039191,
      0.1898858948149424,
      0.18728821268908533,
      0.18472607697983823,
      0.18219898687124925,
      0.17970644937993563,
      0.17724797925571423,
      0.17482309872268922,
      0.17243133725141213,
      0.17007223139988092,
      0.16774532483736193,
      0.16545016786485872,
      0.16318631761398583,
      0.16095333777984364,
      0.15875079851121573,
      0.1565782763053892,
      0.1544353538176041,
      0.15232161995480042,
      0.15023666964264037,
      0.14818010364780634,
      0.14615152856896152,
      0.14415055678043964,
      0.14217680630351895,
      0.14022990074492053,
      0.13830946911153497,
      0.1364151457553008,
      0.13454657023222044,
      0.13270338736740778,
      0.13088524710734628,
      0.12909180445099466,
      0.1273227192436386,
      0.125577656303689,
      0.1238562851704562,
      0.1221582800701544,
      0.12048331994741918,
      0.11883108834632902,
      0.11720127325526694,
      0.11559356708021101,
      0.1140076665178563,
      0.11244327269697074,
      0.11090009092692331,
      0.10937783068907199,
      0.10787620551438212,
      0.10639493293822705,
      0.10493373453177236,
      0.10349233579416457,
      0.10207046608375951,
      0.1006678584852963,
      0.0992842498045411,
      0.0979193805880926,
      0.09657299505421515,
      0.09524484093449437,
      0.09393466949264197,
      0.09264223537762369,
      0.091367296831847,
      0.09010961541561936,
      0.08886895593414258,
      0.0876450864264689,
      0.08643777816583208,
      0.08524680570966482,
      0.08407194670654125,
      0.08291298187636374,
      0.08176969488040399,
      0.08064187253928606,
      0.07952930456251325,
      0.07843178348886361,
      0.0773491047100313,
      0.07628106655221344,
      0.07522747004055562,
      0.07418811899481499,
      0.07316281985183136,
      0.07215138179337137,
      0.07115361666439984,
      0.07016933887262389,
      0.06919836533532787,
      0.06824051549283852,
      0.06729561126103524,
      0.06636347694848675,
      0.06544393933522252,
      0.06453682768711991,
      0.0636419733979844,
      0.06275921028538124,
      0.06188837445284499,
      0.06102930422778686,
      0.06018184016454438,
      0.05934582500513906,
      0.058521103590775225,
      0.0577075229084455,
      0.05690493199915678,
      0.05611318204565905,
      0.05533212613096959,
      0.05456161942723311,
      0.05380151919509105,
      0.053051684558633835,
      0.05231197651967852,
      0.051582258052276606,
      0.05086239393759419,
      0.050152250760988996,
      0.049451696970589036,
      0.04876060281851479,
      0.04807884030585128,
      0.04740628318506015,
      0.04674280687063408,
      0.04608828861666791,
      0.04544260720536084,
      0.04480564309597936,
      0.04417727842162085,
      0.04355739684558174,
      0.04294588363680933,
      0.04234262566879559,
      0.04174751136760775,
      0.04116043059530522,
      0.040581274774713544,
      0.040009936832403,
      0.039446311067877445,
      0.038890293209214916,
      0.038341780506163485,
      0.03780067138048669,
      0.03726686583166404,
      0.03674026526301314,
      0.036220772294489355,
      0.03570829080586798,
      0.035202726048404714,
      0.03470398462174876,
      0.03421197429074239,
      0.033726604067515015,
      0.03324778438432366,
      0.032775426657892855,
      0.03230943666028705,
      0.0318497170275029,
      0.031396175253543164,
      0.030948722727130274,
      0.030507273787655425,
      0.030071745355455023,
      0.02964205617457241,
      0.029218126743392223,
      0.028799878943414195,
      0.028387236026512847,
      0.027980122413305733,
      0.027578463722189913,
      0.02718218668193207,
      0.026791219016792767,
      0.026405489469274422,
      0.026024927807503342,
      0.025649464728626423,
      0.025279031772097033,
      0.024913561458939314,
      0.02455298960959575,
      0.024197254781687424,
      0.023846295071659456,
      0.023500048349764605,
      0.02315845268473549,
      0.022821440792597396,
      0.022488927644734157,
      0.022160832516882382,
      0.021837082555497427,
      0.021517610425443028,
      0.021202352780436636,
      0.020891249436405673,
      0.020584242512511,
      0.020281275873530735,
      0.01998229482747987,
      0.019687245790503908,
      0.019396076388571278,
      0.019108735029700046,
      0.01882517105176679,
      0.018545334530154306,
      0.018269176266718496,
      0.017996647857883807,
      0.01772770143476437,
      0.01746228990198208,
      0.01720036669560149,
      0.01694188596972654,
      0.016686802435884177,
      0.01643507140795831,
      0.01618664883070929,
      0.015941491266042246,
      0.01569955570363326,
      0.015460799761264738,
      0.015225181696807004,
      0.01499266027623017,
      0.014763194764725047,
      0.014536744964092952,
      0.014313271233281109,
      0.014092734453704334,
      0.013875096041218966,
      0.013660317890309864,
      0.013448362370978684,
      0.01323919233370868,
      0.013032771275654317,
      0.01282906296179137,
      0.012628031804690599,
      0.012429642603898764,
      0.012233860668767051,
      0.012040651739635666,
      0.011849982044248966,
      0.011661818196917067,
      0.011476127163236724,
      0.011292876442034621,
      0.011112033944298754,
      0.010933568045455913,
      0.010757447505525472,
      0.010583641499519632,
      0.010412119579162667,
      0.010242851782336448,
      0.010075808490057592,
      0.009910960463098464,
      0.009748278784370587,
      0.009587735038167223,
      0.009429301115805928,
      0.009272949188220348,
      0.009118651965651413,
      0.008966382431408045,
      0.008816113901437743,
      0.008667820199416811,
      0.008521475350395106,
      0.008377053644370367,
      0.008234529827955044,
      0.008093878979811116,
      0.007955076527512648,
      0.007818098188976703,
      0.0076829199919253004,
      0.007549518262406619,
      0.00741786957644901,
      0.007287950935274964,
      0.007159739592250339,
      0.007033213161003319,
      0.00690834951464863,
      0.006785126769013707,
      0.006663523260437786,
      0.006543517746876157,
      0.006425089299058066,
      0.006308217110336264,
      0.00619288089212406,
      0.006079060329578561,
      0.005966735511113542,
      0.005855886824654177,
      0.005746494766146855,
      0.005638540257569664,
      0.005532004444581798,
      0.005426868622606424,
      0.00532311443699741,
      0.005220723658257014,
      0.005119678384026695,
      0.005019960949882418,
      0.0049215539169017875,
      0.004824440117970685,
      0.004728602545875642,
      0.004634024400977342,
      0.0045406892670151215,
      0.004448580703063062,
      0.004357682478122339,
      0.004267978729962226,
      0.0041794538137935105,
      0.004092092139139852,
      0.004005878452134127,
      0.003920797705546032,
      0.0038368350379949048,
      0.003753975823746666,
      0.0036722054880188666,
      0.0035915097296340044
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567414052317272,
      10.338987152924084,
      10.103558692050552,
      9.863895238521234,
      9.622283437158247,
      9.380732823869472,
      9.14096835082209,
      8.904410563411108,
      8.67221126559572,
      8.445251234329737,
      8.2241403682821,
      8.009230817935153,
      7.800641795818428,
      7.598293237095407,
      7.40194424756639,
      7.211229981597893,
      7.025698407595589,
      6.844844253209133,
      6.668139058670077,
      6.495055293915751,
      6.32508707835344,
      6.157768527883681,
      5.9926882451628405,
      5.829499285451014,
      5.667925740849832,
      5.507765196173695,
      5.3488864794785815,
      5.191232939538569,
      5.034820753784809,
      4.8797423459819695,
      4.726150539279327,
      4.574246576903254,
      4.424284439398964,
      4.276569446013882,
      4.131447926861346,
      3.9893103769104394,
      3.850573867780066,
      3.7156438763960344,
      3.5849007214033604,
      3.45868944718224,
      3.3373115604548516,
      3.2210188878468617,
      3.110010028358808,
      3.004429718122693,
      2.9043646748225425,
      2.8098404912873733,
      2.7208281845694966,
      2.637234978081353,
      2.558922611557811,
      2.4857012573213497,
      2.4173309945042885,
      2.3535551361613294,
      2.2940874800857665,
      2.2386184373868625,
      2.1868108279972955,
      2.1382792547656684,
      2.0926406670582898,
      2.049548710852483,
      2.0086723929583856,
      1.969704497744249,
      1.9323892650901642,
      1.8965279953840986,
      1.8619648008890999,
      1.828573315918367,
      1.7962446628666908,
      1.7648858289103817,
      1.7344221818605918,
      1.7047926664399373,
      1.6759462881790683,
      1.647839232318391,
      1.6204308081101628,
      1.5936843961296188,
      1.567568243727355,
      1.5420542818318168,
      1.5171172875900678,
      1.4927342854680896,
      1.4688841151403107,
      1.445547117666471,
      1.4227049046079305,
      1.4003401835344063,
      1.3784366264888115,
      1.3569794253374412,
      1.3359549537588267,
      1.3153500696095808,
      1.2951525675200792,
      1.2753506467455247,
      1.2559327337851294,
      1.2368875569588025,
      1.218204189343969,
      1.1998720720423433,
      1.1818810238283115,
      1.164221240619766,
      1.1468832910410414,
      1.129858248761822,
      1.1131383111635502,
      1.0967163367884336,
      1.080585451451105,
      1.0647387040481127,
      1.0491691313499354,
      1.0338698434950346,
      1.0188340787391803,
      1.0040552380105499,
      0.9895271298247077,
      0.9752448179025582,
      0.9612035760741025,
      0.947398413524824,
      0.9338242204980532,
      0.920475864465151,
      0.9073482534280766,
      0.8944363760277493,
      0.8817353276340131,
      0.8692403257109215,
      0.856947222724473,
      0.8448532715099006,
      0.8329555237319118,
      0.8212506411489181,
      0.809735063254538,
      0.7984051190906907,
      0.7872571016005178,
      0.7762873166015242,
      0.7654921140790009,
      0.7548679080082831,
      0.7444111893343883,
      0.7341185320894398,
      0.723986597036122,
      0.7140121331206368,
      0.7041919772922416,
      0.6945230527804105,
      0.6850023671363946,
      0.6756270102499748,
      0.6663941386115071,
      0.6573009319492192,
      0.6483444796874842,
      0.6395214237997916,
      0.6308285173289283,
      0.622262792202996,
      0.6138215324307182,
      0.6055022111609497,
      0.5973024472601594,
      0.5892199757036398,
      0.5812526267276362,
      0.5733983105196614,
      0.5656550063765268,
      0.5580207552709573,
      0.5504936538871756,
      0.5430718504794365,
      0.5357535411295363,
      0.5285369673224315,
      0.5214204133438798,
      0.5144022045740886,
      0.5074807056395205,
      0.5006543189638526,
      0.4939214833924565,
      0.48728067307560524,
      0.4807303960307959,
      0.4742691933302629,
      0.4678956377752518,
      0.4616083330029119,
      0.45540591249647233,
      0.44928703875728937,
      0.44325040259319276,
      0.4372947220949389,
      0.4314187418387532,
      0.4256212319110924,
      0.41990098757306815,
      0.41425682837375805,
      0.408687597502998,
      0.4031921609806272,
      0.3977694071414552,
      0.3924182460894566,
      0.3871376090725312,
      0.3819264477040347,
      0.3767837336174407,
      0.37170845794685453,
      0.36669963083924845,
      0.3617560992720415,
      0.3568765860449941,
      0.3520599292668086,
      0.3473050638198993,
      0.34261099592914857,
      0.33797678499292627,
      0.3334015321046123,
      0.3288843711944324,
      0.3244244629781696,
      0.32002099090511893,
      0.31567315808774477,
      0.31138018508972354,
      0.3071413085161223,
      0.30295577974043086,
      0.2988229127217544,
      0.29474219798140616,
      0.2907131068968433,
      0.28673506396639986,
      0.28280774834572936,
      0.2789313287034087,
      0.2751057872876383,
      0.27133088354813484,
      0.2676063317271952,
      0.2639320714493087,
      0.260307983330596,
      0.2567337489436415,
      0.253208919615775,
      0.24973296247035748,
      0.24630529144202817,
      0.24292528816588008,
      0.2395923161778249,
      0.23630573030047147,
      0.2330648829037773,
      0.22986912812102692,
      0.22671782450819614,
      0.22361033699686755,
      0.22054603798377181,
      0.21752425711947304,
      0.21454428454538635,
      0.2116054484039791,
      0.2087071116878106,
      0.20584866387034245,
      0.20302951512607048,
      0.2002490922539796,
      0.19750683590795098,
      0.194802198856836,
      0.19213464463249244,
      0.18950364656114194,
      0.18690868709862363,
      0.18434925720051257,
      0.18182485610696983,
      0.17933499095653616,
      0.176879176444312,
      0.17445693477829902,
      0.17206779555236978,
      0.16971129538959545,
      0.16738697786376752,
      0.16509439334299641,
      0.16283309895254017,
      0.1606026583770557,
      0.15840264180081606,
      0.1562326257635304,
      0.15409219295683063,
      0.15198093232366575,
      0.149898438805906,
      0.14784431321668798,
      0.14581816214203383,
      0.14381959803016506,
      0.14184823889704193,
      0.13990370830254276,
      0.137985635259799,
      0.13609365420498262,
      0.13422740484347687,
      0.13238653203701084,
      0.13057068568725094,
      0.12877952081886312,
      0.12701269743046228,
      0.12526988029715,
      0.12355073899743799,
      0.1218549478155214,
      0.12018218574076148,
      0.118532136304083,
      0.11690448749220245,
      0.11529893182255832,
      0.11371516614649875,
      0.11215289154260766,
      0.11061181330041625,
      0.10909164098754381,
      0.10759208823196581,
      0.10611287262600863,
      0.10465371580227911,
      0.10321434326232357,
      0.10179448442811805,
      0.1003938724650357,
      0.09901224419365132,
      0.09764934025590111,
      0.09630490493146002,
      0.09497868595378689,
      0.09367043472629463,
      0.09237990597206518,
      0.09110685792296119,
      0.0898510521458121,
      0.08861225351986782,
      0.08739023027715384,
      0.08618475376779504,
      0.08499559857378959,
      0.08382254230302309,
      0.08266536582386046,
      0.08152385288117699,
      0.08039779032705684,
      0.07928696788531957,
      0.07819117823499527,
      0.07711021694857483,
      0.07604388232593533,
      0.07499197552462189,
      0.07395430029622474,
      0.07293066316157984,
      0.07192087339895711,
      0.07092474298496834,
      0.06994208635107507,
      0.06897272044526258,
      0.06801646477073076,
      0.06707314130372845,
      0.06614257459517721,
      0.06522459150998146,
      0.06431902127695287,
      0.06342569533718768,
      0.0625444475253087,
      0.06167511411635513,
      0.060817533503482485,
      0.059971546334858565,
      0.05913699538550177,
      0.05831372562157509,
      0.05750158407878413,
      0.056700419917297365,
      0.05591008429321928,
      0.055130430537235695,
      0.05436131387327767,
      0.0536025915708,
      0.05285412280249093,
      0.05211576863328631,
      0.05138739206408849,
      0.05066885801611632,
      0.0499600330933974,
      0.04926078583198265,
      0.04857098663835773,
      0.04789050763324734,
      0.04721922261308059,
      0.04655700710382275,
      0.04590373831315154,
      0.04525929513061226,
      0.04462355810512944,
      0.04399640947687009,
      0.04337773297059612,
      0.04276741398591065,
      0.04216533949786825,
      0.04157139787807044,
      0.040985479102636446,
      0.040407474663942046,
      0.039837277485206726,
      0.039274782028437906,
      0.03871988415656486,
      0.03817248110296478,
      0.037632471500256094,
      0.037099755338231094,
      0.036574234082693884,
      0.036055810291154754,
      0.03554438804397417,
      0.03503987277029134,
      0.03454217097769153,
      0.0340511906315353,
      0.03356684086567245,
      0.03308903204444491,
      0.03261767573074035,
      0.03215268466179762,
      0.03169397279967341,
      0.031241455255820536,
      0.030795041081524373,
      0.03035463674983451,
      0.02992015379839585,
      0.029491507468544495,
      0.0290686158015934,
      0.02865139908318243,
      0.028239779448940905,
      0.02783368068504282,
      0.027433027933298004,
      0.027037747602055632,
      0.02664776730093035,
      0.026263015704001743,
      0.025883422423339908,
      0.02550891824902251,
      0.025139434859026675,
      0.024774904742937413,
      0.02441526341796983,
      0.024060449488763198,
      0.023710401226458892,
      0.023365056709096957,
      0.0230243541516026,
      0.0226882321410147,
      0.022356629103678183,
      0.022029467978083028,
      0.021706665235626196,
      0.0213881462393498,
      0.02107384279102441,
      0.02076369126915402,
      0.020457631438496028,
      0.020155605579756007,
      0.019857558040882888,
      0.019563434612064973,
      0.019273182376868692,
      0.018986749517736073,
      0.01870408522111921,
      0.018425139478431683,
      0.018149863112500098,
      0.017878207667718672,
      0.01761012534109233,
      0.017345568921869867,
      0.017084492083785114,
      0.016826848967940317,
      0.016572594391247322,
      0.016321683777324562,
      0.01607407308360243,
      0.015829718870379643,
      0.015588578340326127,
      0.01535060921532111,
      0.015115769742385118,
      0.014884018759022129,
      0.014655315614520421,
      0.014429620194910711,
      0.014206892988359504,
      0.013987095013021417,
      0.013770187638567391,
      0.013556132829141362,
      0.013344893134107983,
      0.013136431547574745,
      0.012930711445926783,
      0.012727696762339391,
      0.012527351965970022,
      0.012329641909967418,
      0.012134531897124042,
      0.011941987702868802,
      0.01175197560639331,
      0.011564462341065788,
      0.011379415110185084,
      0.011196801515580007,
      0.01101658944962408,
      0.010838747331850983,
      0.010663243934183182,
      0.010490048557370645,
      0.010319130815054367,
      0.010150460851767773,
      0.009984009066796208,
      0.009819746176060842,
      0.009657643485373032,
      0.009497672523128598,
      0.009339805215164419,
      0.009184013997155094,
      0.00903027146452303,
      0.008878550716781513,
      0.008728825239245846,
      0.008581068684223812,
      0.008435255257741315,
      0.008291359370063893,
      0.008149355815217214,
      0.008009219710279219,
      0.007870926454864532,
      0.00773445186366864,
      0.007599771950651404,
      0.007466863108473609,
      0.0073357021112993685,
      0.007206265940784351,
      0.007078531912183815,
      0.006952477623445789,
      0.006828081089947788,
      0.006705320505424248,
      0.006584174321875161,
      0.006464621215886343,
      0.0063466402339637995,
      0.006230210786471201,
      0.006115312439797917,
      0.006001924975984357,
      0.00589002850410948,
      0.005779603516069346,
      0.005670630688968207,
      0.005563090898322991,
      0.005456965295692685,
      0.005352235240686144,
      0.005248882380377409,
      0.005146888565849025,
      0.005046236021829028,
      0.004946907073327119,
      0.004848884368930224,
      0.0047521506727335495,
      0.004656689032075695,
      0.004562482729971189,
      0.0044695153276874885,
      0.004377770511171176,
      0.004287232166919841,
      0.004197884496964483,
      0.004109711740482565,
      0.004022698429946719,
      0.003936829368619576,
      0.003852089456332027,
      0.0037684639165930524,
      0.003685938117642232,
      0.0036044975786157147,
      0.003524127969992177
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567406091404061,
      10.338960835274797,
      10.103506252191464,
      9.863811657610086,
      9.622165410728892,
      9.380578387512198,
      9.14077692003172,
      8.904181951998686,
      8.67194567990192,
      8.444949177629404,
      8.2238024817607,
      8.008857753592235,
      7.800234126124828,
      7.597851399680801,
      7.401468514742367,
      7.210720458128443,
      7.025155052457127,
      6.844266894204335,
      6.667527450910349,
      6.494409312026469,
      6.324406652741148,
      6.157053714600879,
      5.991939475536524,
      5.828717313223134,
      5.667111608773431,
      5.506920290012083,
      5.348012570357979,
      5.190332255194441,
      5.033895971393465,
      4.878796574724267,
      4.725187161647121,
      4.573269519783466,
      4.423298077326886,
      4.275578448916875,
      4.130457216688783,
      3.9883255295039364,
      3.8496005710462167,
      3.7146875234483088,
      3.583966318138374,
      3.45778153134146,
      3.3364341355451317,
      3.2201753745304504,
      3.1092032243382057,
      3.003661787917597,
      2.903637064194424,
      2.8091538606296123,
      2.720182442151298,
      2.636628879431317,
      2.558354285931856,
      2.485168129882491,
      2.416830090651068,
      2.3530833341539585,
      2.2936414177937,
      2.2381944891621894,
      2.1864050899206138,
      2.137887495507719,
      2.0922591453224513,
      2.04917398744327,
      2.008301250811073,
      1.9693343293235173,
      1.932018127895609,
      1.896154459098435,
      1.861587813036729,
      1.8281920869172625,
      1.7958585174000055,
      1.7644942846619491,
      1.734024934686429,
      1.704389539490804,
      1.6755371957153493,
      1.647424166692929,
      1.6200098274862549,
      1.5932575803700615,
      1.5671356870438131,
      1.541616087671175,
      1.5166735651011771,
      1.492285146736579,
      1.4684296738012348,
      1.445087487468689,
      1.4222401981310462,
      1.3998705121739143,
      1.3779621004347862,
      1.3565001734328022,
      1.3354711049072527,
      1.3148617596594052,
      1.2946599489988704,
      1.2748538534238507,
      1.2554318863649807,
      1.2363827658798507,
      1.2176955576052295,
      1.199359696868175,
      1.1813649978386456,
      1.163701653367503,
      1.146360229136111,
      1.1293318113142352,
      1.1126086180960972,
      1.0961835071753647,
      1.0800495958685128,
      1.0641999217069107,
      1.0486275128660498,
      1.0333254733989945,
      1.018287036861407,
      1.003505600200931,
      0.9889750552363343,
      0.9746905860546157,
      0.9606473959984011,
      0.9468404464518746,
      0.9332645947063946,
      0.9199146853334085,
      0.9067856101316755,
      0.8938723468763105,
      0.8811699831933276,
      0.868673730886176,
      0.8563796937225732,
      0.8442851451489344,
      0.8323870398345367,
      0.8206819735355256,
      0.8091663407545338,
      0.7978364398746337,
      0.7866885427977257,
      0.7757189411091604,
      0.7649239750862468,
      0.7543000521629042,
      0.7438436583559472,
      0.7335513645881452,
      0.723419829499724,
      0.7134458003771477,
      0.7036261126529795,
      0.6939576883472734,
      0.6844375344021393,
      0.6750627399492378,
      0.6658304599510102,
      0.6567378724083103,
      0.6477820876219261,
      0.6389597808544416,
      0.6302677599341379,
      0.6217030395475753,
      0.6132628720489836,
      0.6049447091057272,
      0.5967461552509397,
      0.58866493537359,
      0.5806988725849251,
      0.5728458721920276,
      0.5651039102222599,
      0.5574710251836501,
      0.5499453120858945,
      0.5425249178785959,
      0.5352080376476844,
      0.5279929120533405,
      0.5208778249223146,
      0.5138611009993753,
      0.5069411043452118,
      0.5001162372352929,
      0.4933849381168965,
      0.4867456805615914,
      0.4801969723030017,
      0.47373735396009475,
      0.46736539793363674,
      0.4610797076845573,
      0.454878916356623,
      0.4487616862732416,
      0.4427267077877187,
      0.4367726985335106,
      0.4308984026201401,
      0.42510258998300526,
      0.41938405553379665,
      0.41374161842088614,
      0.4081741215294547,
      0.4026804306906472,
      0.39725943390788376,
      0.39191004078039904,
      0.3866311822795032,
      0.3814218096344286,
      0.37628089418602634,
      0.3712074267861424,
      0.366200417254477,
      0.36125868891227086,
      0.3563809619601082,
      0.3515660830208366,
      0.3468129926690698,
      0.342120700742844,
      0.3374882693165727,
      0.3329148010645643,
      0.3283994308762627,
      0.32394132013683974,
      0.3195396525604083,
      0.31519363137263007,
      0.31090247717298747,
      0.3066654265101835,
      0.3024817305430595,
      0.29835073678177987,
      0.29427193947629965,
      0.29024479734189157,
      0.2862687559153687,
      0.2823436986032202,
      0.2784697796259179,
      0.2746468986086606,
      0.27087476232109947,
      0.26715307749542805,
      0.26348178100289127,
      0.2598607163284002,
      0.25628954001640225,
      0.2527677864628636,
      0.24929491132104697,
      0.2458703208817897,
      0.2424933916593484,
      0.2391634836420971,
      0.23587994907759358,
      0.23264213877273063,
      0.22944940565297067,
      0.22630110761886596,
      0.22319660908763167,
      0.2201352820916804,
      0.2171164454037352,
      0.2141393880227285,
      0.21120344210743275,
      0.20830797335331952,
      0.20545237303952354,
      0.20263605249606578,
      0.19985843937396358,
      0.19711897492817473,
      0.19441711232982117,
      0.1917523153399091,
      0.18912405741660215,
      0.18653182111371383,
      0.18397509748804325,
      0.18145338590899757,
      0.1789661935318843,
      0.17651303522262377,
      0.17409343311899347,
      0.17170691666811433,
      0.16935302257344484,
      0.16703129447388884,
      0.16474128275532599,
      0.16248254458258415,
      0.16025464371356113,
      0.15805715029932038,
      0.15588964086610269,
      0.1537516981747448,
      0.1516429111159839,
      0.14956287474342442,
      0.14751118985332248,
      0.14548746311421737,
      0.14349130693353973,
      0.141522339315074,
      0.1395801839107055,
      0.13766446975786373,
      0.13577483127449413,
      0.13391090819990098,
      0.1320723454242555,
      0.1302587929546408,
      0.12846990583261417,
      0.12670534407383027,
      0.12496477247021723,
      0.12324786068664895,
      0.12155428310567021,
      0.11988371869363076,
      0.11823585101462657,
      0.11661036815723841,
      0.11500696261220499,
      0.11342533125981266,
      0.11186517528198058,
      0.11032620012066169,
      0.10880811529083226,
      0.10731063441041627,
      0.10583347516114165,
      0.10437635921184828,
      0.10293901212966398,
      0.10152116334260439,
      0.10012254612754255,
      0.09874289748421913,
      0.09738195804736036,
      0.09603947204257207,
      0.09471518739483528,
      0.09340885548706032,
      0.09212023115942788,
      0.09084907265698934,
      0.08959514169756763,
      0.08835820319517511,
      0.08713802534456568,
      0.08593437966012217,
      0.08474704070825667,
      0.08357578621627966,
      0.08242039711619092,
      0.08128065730091211,
      0.08015635354686379,
      0.07904727569803151,
      0.07795321649199848,
      0.07687397153965636,
      0.07580933924504332,
      0.07475912077373371,
      0.07372312013264191,
      0.07270114388492076,
      0.07169300132909767,
      0.07069850443970305,
      0.06971746771948029,
      0.0687497082133094,
      0.06779504548984519,
      0.0668533017155387,
      0.0659243014483576,
      0.0650078715552324,
      0.0641038412519961,
      0.06321204225743891,
      0.062332308517348084,
      0.061464476309030534,
      0.06060838407475094,
      0.05976387245699757,
      0.05893078435479943,
      0.058108964848386534,
      0.057298261055836235,
      0.05649852223566243,
      0.05570959969077672,
      0.05493134668982825,
      0.05416361860549419,
      0.05340627274919777,
      0.052659168359443655,
      0.051922166546225536,
      0.05119513039876724,
      0.050477924951000876,
      0.049770416969868086,
      0.04907247505889837,
      0.048383969622204384,
      0.04770477272728129,
      0.04703475825093211,
      0.046373801875917726,
      0.0457217809547604,
      0.04507857445297566,
      0.04444406299395131,
      0.04381812887190096,
      0.04320065595653414,
      0.042591529699435415,
      0.041990637089053824,
      0.041397866672187485,
      0.04081310842835715,
      0.040236253961901884,
      0.039667196206812666,
      0.03910582969678544,
      0.038552050338666946,
      0.03800575548081325,
      0.0374668438150168,
      0.03693521545226288,
      0.03641077188952972,
      0.035893415857614325,
      0.035383051450703716,
      0.034879584137081726,
      0.0343829205523786,
      0.03389296869176649,
      0.03340963783385909,
      0.03293283839969786,
      0.03246248195596649,
      0.03199848143266949,
      0.0315407507797181,
      0.031089205244767396,
      0.030643761127794746,
      0.030204335991783612,
      0.02977084839435534,
      0.029343211874812335,
      0.028921336783387923,
      0.0285051380128048,
      0.028094534028630967,
      0.027689446146489497,
      0.027289797852479324,
      0.026895514465673752,
      0.02650652293518808,
      0.02612275137619641,
      0.02574412921500159,
      0.02537058695100338,
      0.025002056113893795,
      0.02463846928821365,
      0.024279761731875005,
      0.023925871963060456,
      0.023576738376966028,
      0.02323229925952729,
      0.022892492895497444,
      0.022557257931322336,
      0.022226533529036672,
      0.021900259560743904,
      0.021578369938222448,
      0.021260782724580703,
      0.020947420718673407,
      0.020638214226341635,
      0.020333098793491024,
      0.020032013853302683,
      0.019734901802177626,
      0.019441707150720414,
      0.019152376134674517,
      0.01886685640251204,
      0.018585096715080213,
      0.018307046852743043,
      0.018032657552277877,
      0.017761880256543756,
      0.01749466708960839,
      0.01723097099991404,
      0.016970745601259964,
      0.016713945099148527,
      0.016460524410099993,
      0.01621043900419401,
      0.015963644965789635,
      0.015720099025008843,
      0.015479758400617055,
      0.015242580823209999,
      0.015008524649491116,
      0.014777548743313133,
      0.014549612581725177,
      0.01432467612775056,
      0.014102699927865052,
      0.01388364501453425,
      0.01366747298249996,
      0.013454145818876792,
      0.013243626123115379,
      0.013035876858515379,
      0.012830861614123916,
      0.012628544366412352,
      0.012428889605282665,
      0.012231862271034764,
      0.0120374278521963,
      0.011845552205520003,
      0.011656201683107076,
      0.011469343000204498,
      0.011284943365481342,
      0.011102970409620768,
      0.010923392185588016,
      0.010746177138806674,
      0.010571294231305695,
      0.01039871276274404,
      0.010228402434350626,
      0.010060333376560598,
      0.00989447605699164,
      0.009730801406503979,
      0.009569280654168517,
      0.009409885437022425,
      0.009252587739764085,
      0.009097360000922318,
      0.008944175068393538,
      0.008793006010195394,
      0.008643826295139809,
      0.008496609701280829,
      0.008351330403926154,
      0.008207962937895571,
      0.008066482104091,
      0.007926863105687198,
      0.00778908137461792,
      0.0076531127806298204,
      0.007518933491798517,
      0.007386519938438773,
      0.007255848911365465,
      0.007126897477226586,
      0.006999642932960622,
      0.006874062920291477,
      0.006750135471543766,
      0.00662783883425404,
      0.006507151538651555,
      0.006388052408717181,
      0.006270520657308147,
      0.006154535511688302,
      0.006040076609361894,
      0.005927123911639289,
      0.005815657682286276,
      0.0057056583018003405,
      0.005597106425912275,
      0.005489983043198654,
      0.0053842693308699275,
      0.00527994667005102,
      0.005176996825744805,
      0.005075401812506915,
      0.004975143696725924,
      0.004876204844274993,
      0.004778567851220281,
      0.0046822156662941795,
      0.004587131447690268,
      0.004493298407949797,
      0.004400700129660847,
      0.004309320456551809,
      0.004219143353714348,
      0.004130152889103136,
      0.004042333438351888,
      0.003955669616825543,
      0.0038701462957807676,
      0.0037857483965052304,
      0.003702461085672553,
      0.003620269825300935,
      0.0035391600993304275,
      0.0034591177255597944
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567398139441245,
      10.338934539934659,
      10.103453845203816,
      9.863728114926367,
      9.62204741906179,
      9.38042391478731,
      9.140585322863894,
      8.903953051461725,
      8.671679689253304,
      8.444646607936592,
      8.223463981372394,
      8.008483982572578,
      7.799825662948823,
      7.597408685983097,
      7.4009918271184345,
      7.210209904728998,
      7.024610595992641,
      6.843688365765824,
      6.666914607778635,
      6.493762031273229,
      6.323724867447627,
      6.156337483925967,
      5.9911892332408945,
      5.827933815234852,
      5.666295899439396,
      5.506073757210493,
      5.347136988487982,
      5.189429854487133,
      5.032969432833999,
      4.877849011864126,
      4.724221959787112,
      4.572290607834402,
      4.422309831589948,
      4.274585545283753,
      4.129464616717848,
      3.9873388413145197,
      3.848625477758025,
      3.71372941362932,
      3.583030193005026,
      3.456871923792195,
      3.335555043683135,
      3.2193302145240628,
      3.108394791800703,
      3.0028922437052517,
      2.9029078511232753,
      2.8084656368818877,
      2.71953511509663,
      2.636021206245091,
      2.5577843996111564,
      2.4846334589344634,
      2.4163276647165146,
      2.3526100356153727,
      2.2931938893611896,
      2.2377691102629305,
      2.1859979612963008,
      2.1374943846627925,
      2.0918763154380597,
      2.048798003024879,
      2.007928897687785,
      1.968963001482981,
      1.9316458840052186,
      1.8957798708610463,
      1.8612098279637859,
      1.8278099021034178,
      1.7954714479671117,
      1.7641018540756026,
      1.7336268420855816,
      1.7039856111073437,
      1.675127347681584,
      1.647008392188148,
      1.6195881847720572,
      1.5928301485898044,
      1.566702559799581,
      1.5411773678708662,
      1.5162293607751138,
      1.4918355688931717,
      1.4679748351512711,
      1.4446275011516914,
      1.421775176593743,
      1.399400566096031,
      1.377487342276091,
      1.3560207332330267,
      1.3349871089046577,
      1.3143733417591559,
      1.2941672602079035,
      1.2743570259111179,
      1.2549310392568975,
      1.2358780086301309,
      1.217186992464989,
      1.1988474204543877,
      1.180849102308429,
      1.163182227247539,
      1.1458373581617969,
      1.128805594943741,
      1.112079175741903,
      1.0956509571059225,
      1.0795140482219099,
      1.0636614748125062,
      1.0480862569326665,
      1.032781492161233,
      1.0177404092714986,
      1.0029564022686834,
      0.9884235034972608,
      0.9741369401035183,
      0.9600918517316724,
      0.946283156176005,
      0.9327056805465122,
      0.9193542482061506,
      0.9062237361289046,
      0.8933091118845425,
      0.8806054559609695,
      0.8681079748492099,
      0.8558130243205243,
      0.843717898116586,
      0.8318194541033632,
      0.8201142220729329,
      0.8085985519810067,
      0.7972687116390237,
      0.786120952402617,
      0.7751515514584871,
      0.7643568393882532,
      0.7537332170717702,
      0.7432771656869303,
      0.7329852527811892,
      0.722854134504171,
      0.7128805564944805,
      0.7030613530599342,
      0.6933934453776479,
      0.6838738393841602,
      0.6744996236416733,
      0.6652679514934233,
      0.6561759989945178,
      0.6472208933355769,
      0.6383993333289248,
      0.6297081451691364,
      0.6211443913905066,
      0.6127052964874505,
      0.6043882848915992,
      0.5961909422328463,
      0.5881109807537678,
      0.5801462146868294,
      0.5722945431493653,
      0.5645539379034284,
      0.5569224345864274,
      0.5493981259271649,
      0.5419791573481773,
      0.5346637227936141,
      0.5274500620301789,
      0.5203364580261169,
      0.5133212351767098,
      0.5064027572878205,
      0.49957942598492716,
      0.49284967914500755,
      0.48621199017201433,
      0.47966486639248623,
      0.4732068480011087,
      0.46683650715388825,
      0.46055244670577605,
      0.45435329966612575,
      0.44823772807921736,
      0.44220442191987236,
      0.43625209843910334,
      0.4303795014815018,
      0.42458540054950517,
      0.41886859030453216,
      0.41322788954180606,
      0.4076621407109363,
      0.40217020922097696,
      0.39675098278847626,
      0.3914033707798933,
      0.38612630372874757,
      0.3809187327252273,
      0.3757796287820616,
      0.3707079822041236,
      0.3657027937238466,
      0.36076286786765144,
      0.3558869311053885,
      0.3510738369269524,
      0.34632253049715966,
      0.34163202471861287,
      0.33700138379830535,
      0.33242971175578084,
      0.3279161442951748,
      0.323459843251357,
      0.31905999257500417,
      0.3147157955389001,
      0.3104264726619895,
      0.30619126021800996,
      0.3020094092114034,
      0.2978803010558797,
      0.29380343321747265,
      0.28977825175734956,
      0.28580428229643506,
      0.28188156939905185,
      0.27801020997047976,
      0.2741900300125844,
      0.2704206950372692,
      0.2667019054151425,
      0.26303359244636687,
      0.2594155652818367,
      0.2558474573998465,
      0.2523287874109756,
      0.2488590004059444,
      0.24543749534708775,
      0.24206364389986912,
      0.23873680270911832,
      0.235456321991452,
      0.23222155089699542,
      0.22903184140411578,
      0.2258865506487915,
      0.22278504255064493,
      0.21972668552552327,
      0.21671078914808847,
      0.21373664490779368,
      0.2108035882938474,
      0.20791098731577515,
      0.2050582348883565,
      0.2022447432654859,
      0.19946994082125152,
      0.19673326934718155,
      0.19403418231412597,
      0.19137214363500524,
      0.18874662700069145,
      0.18615711498536786,
      0.1836030987457713,
      0.1810840776773023,
      0.17859955897530816,
      0.1761490574827552,
      0.17373209554317343,
      0.1713482026178714,
      0.1689969154041437,
      0.16667777753245508,
      0.16439033939609213,
      0.16213415821415342,
      0.15990879771819405,
      0.1577138280846605,
      0.15554882592291608,
      0.15341337393680754,
      0.15130706104833466,
      0.14922948222643104,
      0.1471802382755314,
      0.14515893596485874,
      0.1431651878374222,
      0.14119861194031497,
      0.13925883193327554,
      0.13734547676833136,
      0.13545818091294923,
      0.13359658409337646,
      0.13176033137185883,
      0.1299490727625988,
      0.12816246328930267,
      0.12640016306409613,
      0.12466183693029194,
      0.12294715456570425,
      0.12125579035870415,
      0.11958742335646655,
      0.11794173714536524,
      0.1163184198284714,
      0.1147171640365229,
      0.11313766674983662,
      0.111579629051731,
      0.11004275646794719,
      0.10852675853761448,
      0.10703134900231077,
      0.1055562455887933,
      0.10410116998324141,
      0.10266584779313623,
      0.1012500085796325,
      0.09985338564872126,
      0.09847571596318595,
      0.09711674029608594,
      0.09577620302801211,
      0.0944538520651222,
      0.09314943880097593,
      0.09186271809007628,
      0.09059344833568433,
      0.08934139132247006,
      0.08810631202276148,
      0.08688797870663895,
      0.08568616291728232,
      0.08450063933062411,
      0.08333118579766123,
      0.08217758322959179,
      0.08103961548734143,
      0.07991706950424869,
      0.07880973517167716,
      0.0777174052891278,
      0.0766398755535978,
      0.07557694443519895,
      0.07452841330457738,
      0.07349408602356074,
      0.07247376941346775,
      0.07146727279861984,
      0.07047440824636864,
      0.06949499030791197,
      0.06852883608329934,
      0.06757576527961,
      0.06663560006902638,
      0.0657081649462806,
      0.06479328689374653,
      0.0638907953548849,
      0.06300052214420986,
      0.06212230127992045,
      0.06125596898368667,
      0.06040136381882995,
      0.059558326557825676,
      0.058726700213320576,
      0.0579063298424116,
      0.05709706258127636,
      0.05629874781142629,
      0.055511236889170805,
      0.05473438320687058,
      0.05396804221085704,
      0.05321207132880188,
      0.05246632989147195,
      0.05173067906488899,
      0.05100498201864576,
      0.05028910384059381,
      0.049582911338256444,
      0.04888627318049605,
      0.048199059842843256,
      0.047521143546782774,
      0.046852398304273714,
      0.046192699829262406,
      0.04554192549391994,
      0.04489995438606435,
      0.04426666725294654,
      0.0436419464000553,
      0.043025675761229724,
      0.042417740918078116,
      0.04181802881356236,
      0.04122642808182862,
      0.04064282884989898,
      0.04006712277425588,
      0.03949920299409892,
      0.03893896402355582,
      0.03838630180193214,
      0.03784111381287351,
      0.03730329883417571,
      0.03677275695984048,
      0.03624938976070915,
      0.03573310008502716,
      0.0352237921184612,
      0.03472137135355713,
      0.03422574463136486,
      0.03373681992410622,
      0.03325450642117126,
      0.03277871475668713,
      0.03230935669850336,
      0.031846345109317574,
      0.03138959408310022,
      0.030939018911623373,
      0.030494536024079578,
      0.030056062956082576,
      0.02962351848871061,
      0.02919682231190806,
      0.028775895273533858,
      0.028360659349691543,
      0.027951033816931828,
      0.02754693286438535,
      0.027148274081951418,
      0.02675497876632455,
      0.02636697111076226,
      0.0259841774760646,
      0.02560652606416042,
      0.02523394662473523,
      0.02486637021201576,
      0.024503729074115254,
      0.024145957958447133,
      0.023792995352010553,
      0.023444779639570375,
      0.023101249104906876,
      0.022762342210735354,
      0.022427997656664693,
      0.02209815471158548,
      0.021772753109543543,
      0.02145173343701332,
      0.02113503681116483,
      0.020822590015492703,
      0.02051431245493249,
      0.020210132277071358,
      0.01990998391402287,
      0.019613806248200232,
      0.01932154150160404,
      0.0190331343034938,
      0.01874853121263374,
      0.01846768035534241,
      0.018190531196900186,
      0.017917033961688835,
      0.01764713995995862,
      0.017380801314057552,
      0.017117970929988142,
      0.016858602401835454,
      0.016602649982620392,
      0.016350068563804963,
      0.0161008137277049,
      0.015854841566760508,
      0.015612108791455331,
      0.01537257273222873,
      0.015136191305857081,
      0.014902922939447859,
      0.014672726668335054,
      0.014445562013405421,
      0.014221389019751026,
      0.014000168309885548,
      0.013781860878330492,
      0.013566428352252385,
      0.013353832853565194,
      0.013144037034823213,
      0.012937004047370863,
      0.012732697504828765,
      0.012531081525000681,
      0.0123321206017495,
      0.01213577977100805,
      0.0119420246010181,
      0.01175082097439432,
      0.011562135297947482,
      0.011375934332464975,
      0.011192185463500476,
      0.01101085637579455,
      0.010831915206562046,
      0.010655330502466576,
      0.010481071306111494,
      0.010309106845929061,
      0.01013940694209387,
      0.009971941735436907,
      0.009806681792751924,
      0.009643598207612679,
      0.009482662251628898,
      0.009323845592625708,
      0.00916712025333019,
      0.009012458825936499,
      0.008859834084814498,
      0.00870921920393739,
      0.008560587740800197,
      0.008413913532619948,
      0.008269170733605936,
      0.008126333999808373,
      0.007985378205052221,
      0.007846278539701422,
      0.007709010623117273,
      0.007573550325355703,
      0.007439873818658168,
      0.007307957636765729,
      0.007177778608109326,
      0.0070493138095242755,
      0.0069225406670728445,
      0.006797436988256452,
      0.006673980798620956,
      0.006552150408175423,
      0.006431924281746282,
      0.00631328132977108,
      0.006196200698299346,
      0.006080661858845591,
      0.005966644508765303,
      0.005854128517015114,
      0.005743094131406288,
      0.0056335219519363525,
      0.0055253926192026116,
      0.00541868715844621,
      0.005313386873100224,
      0.005209473188789245,
      0.005106927866688767,
      0.005005732919120878,
      0.004905870564409211,
      0.004807323284398124,
      0.004710073698304158,
      0.0046141046409041275,
      0.004519399336890384,
      0.0044259411186076646,
      0.004333713596160849,
      0.004242700497549813,
      0.0041528858782932014,
      0.0040642540080714305,
      0.003976789232581128,
      0.003890476153774468,
      0.0038052997030021047,
      0.003721244859300196,
      0.0036382968639704577,
      0.0035564411496812557,
      0.0034756633726503836,
      0.003395949298900705
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567390194903082,
      10.338908263804429,
      10.103401466420115,
      9.863644602725879,
      9.62192945178679,
      9.380269414097645,
      9.140393518324283,
      8.903723701248405,
      8.671413031060165,
      8.444343173842851,
      8.223124438524668,
      8.00810900788195,
      7.7994158511761285,
      7.596964494719992,
      7.400513545361625,
      7.209697652019118,
      7.024064345435355,
      6.843107956525472,
      6.66629980370833,
      6.493112714239821,
      6.323040975623046,
      6.155619081054819,
      5.990436757015239,
      5.8271480263112325,
      5.665477846671285,
      5.505224832886709,
      5.346258971417047,
      5.188524979660511,
      5.032040385532832,
      4.876898887333167,
      4.72325412846924,
      4.571309006350164,
      4.421318843371474,
      4.273589854698878,
      4.12846921817728,
      3.986349374148506,
      3.8476476275346214,
      3.712768570701872,
      3.582091361102422,
      3.4559596377193484,
      3.33467330398851,
      3.21848243807814,
      3.1075837757124933,
      3.002120150734752,
      2.902176125681213,
      2.80777493921322,
      2.7188853406869558,
      2.6354111063037347,
      2.5572121145567177,
      2.4840963373036553,
      2.415822755186992,
      2.352134239251211,
      2.292743865650668,
      2.237341253527234,
      2.1855883855972102,
      2.1370988699829225,
      2.091491134587826,
      2.048419727691217,
      2.0075543192479506,
      1.9685895173304753,
      1.9312715552829536,
      1.895403276302753,
      1.8608299140208373,
      1.827425858599086,
      1.7950825854712438,
      1.7637076968946832,
      1.733227090422135,
      1.7035800902608513,
      1.6747159726563305,
      1.6465911551646526,
      1.6191651422966349,
      1.5924013784096631,
      1.5662681537959329,
      1.5407374268716172,
      1.5157839919128446,
      1.4913848825091314,
      1.4675189427707205,
      1.4441665142236004,
      1.4213092054324217,
      1.3989297202932445,
      1.377011740464274,
      1.3555405073043814,
      1.3345023803540057,
      1.313884253813057,
      1.2936739572125915,
      1.2738596358664012,
      1.25442967763215,
      1.23537278204418,
      1.2166780008559006,
      1.198334758652906,
      1.1803328611149806,
      1.1626624944699633,
      1.1453142186966925,
      1.128279146176022,
      1.1115495361696213,
      1.0951182445841168,
      1.0789783720141963,
      1.0631229329845586,
      1.0475449387719395,
      1.0322374810473443,
      1.0171937843203585,
      1.002407238497913,
      0.9878720374321537,
      0.9735834232996011,
      0.959536474797165,
      0.9457260673430127,
      0.9321469987177985,
      0.9187940722803462,
      0.9056621511275793,
      0.8927461926560615,
      0.8800412705016627,
      0.8675426229537656,
      0.8552468387950914,
      0.8431511955064246,
      0.8312524603365173,
      0.819547101387558,
      0.8080314264912136,
      0.7967016749901561,
      0.7855540786162626,
      0.7745849012764868,
      0.7637904641820197,
      0.7531671619794946,
      0.7427114715795078,
      0.7324199574183008,
      0.7222892735192249,
      0.7123161640332185,
      0.7024974618458536,
      0.6928300869924666,
      0.6833110448667149,
      0.6739374233126388,
      0.664706374336724,
      0.6556150721267192,
      0.64666066081621,
      0.6378398631002967,
      0.6291494920570281,
      0.6205866539100986,
      0.6121486032285428,
      0.6038327294318888,
      0.595636594651975,
      0.5875578949144153,
      0.5795944334734433,
      0.5717441017569367,
      0.564004866204345,
      0.5563747588879066,
      0.5488518698704468,
      0.5414343426398236,
      0.5341203701015366,
      0.5269081909028366,
      0.5197960870308406,
      0.5127823820280558,
      0.505865439094435,
      0.4990436593606247,
      0.49231548043964846,
      0.48567937541593653,
      0.4791338513359213,
      0.4726774480199139,
      0.4663087372757544,
      0.46002632175751434,
      0.4538288339060178,
      0.44771493533140144,
      0.44168331580400527,
      0.4357326921874528,
      0.4298618079284219,
      0.4240694322930136,
      0.41835435953141764,
      0.4127154082294303,
      0.40715142044181946,
      0.40166126124680834,
      0.39624381803781794,
      0.39089799988628443,
      0.38562273702867383,
      0.38041698002210483,
      0.37527969953752,
      0.370209885775244,
      0.36520652738947457,
      0.36026841161099427,
      0.3553942742245999,
      0.35058297507745606,
      0.345833463545544,
      0.3411447554232131,
      0.3365159167769336,
      0.3319460528391678,
      0.32743429993297307,
      0.3229798203122156,
      0.3185817981328846,
      0.31423943665770404,
      0.30995195630479483,
      0.30571859324271383,
      0.3015386017460834,
      0.29741139543283873,
      0.29333647154796494,
      0.2893132669986975,
      0.28534146236204483,
      0.28142119357047984,
      0.27755246152534085,
      0.27373502920256776,
      0.26996852753221634,
      0.2662526596019418,
      0.26258734827345237,
      0.2589723710417137,
      0.25540733989186704,
      0.25189175918147283,
      0.24842506422257363,
      0.24500664733711222,
      0.24163587570743267,
      0.2383121029591062,
      0.235034677180361,
      0.23180294617197006,
      0.2286162609534421,
      0.22547397801049007,
      0.22237546091685864,
      0.2193200722201643,
      0.2163071135586066,
      0.21333588093335457,
      0.21040571286193374,
      0.20751597936833682,
      0.20466607464121034,
      0.2018554119802391,
      0.19908342042695565,
      0.19634954208879343,
      0.19365323071895427,
      0.1909939506190523,
      0.1883711755552629,
      0.18578438818107196,
      0.18323307973558858,
      0.18071674952091857,
      0.17823490478021628,
      0.17578706051885787,
      0.17337273898831845,
      0.17099146967729145,
      0.1686427893590582,
      0.16632624172482416,
      0.16404137711706993,
      0.16178775275066665,
      0.1595649324241108,
      0.15737248632441272,
      0.1552099909823045,
      0.1530770292003438,
      0.15097319006787932,
      0.14889806845924675,
      0.14685126521560046,
      0.14483238703186752,
      0.14284104639239764,
      0.14087686148463763,
      0.138939456027987,
      0.13702845916314457,
      0.13514350528081842,
      0.13328423419698074,
      0.13145029085460297,
      0.12964132525042948,
      0.12785699261920136,
      0.1260969530039681,
      0.12436087135641997,
      0.12264841741730949,
      0.12095926556055937,
      0.11929309491942897,
      0.11764958911401072,
      0.11602843630489235,
      0.11442932917208404,
      0.1128519646734448,
      0.11129604405210967,
      0.1097612728196202,
      0.10824736064502458,
      0.10675402123226514,
      0.1052809723506455,
      0.10382793577707103,
      0.10239463725804705,
      0.10098080634515844,
      0.0995861764723213,
      0.09821048464511349,
      0.09685347161985568,
      0.09551488171328165,
      0.0941944629936026,
      0.09289196694353052,
      0.0916071485617877,
      0.0903397662853798,
      0.08908958186689188,
      0.08785636035227781,
      0.0866398701592399,
      0.08543988284931092,
      0.08425617318795228,
      0.08308851898969172,
      0.081936701317929,
      0.08080050412368142,
      0.07967971443205932,
      0.07857412223761226,
      0.07748352032125339,
      0.07640770438241196,
      0.07534647303234202,
      0.07429962765148226,
      0.07326697222820139,
      0.07224831361429263,
      0.07124346121820144,
      0.0702522271941045,
      0.06927442625961465,
      0.06830987559252025,
      0.06735839489889095,
      0.0664198063695998,
      0.06549393470946714,
      0.0645806069721465,
      0.06367965262960243,
      0.06279090347867637,
      0.06191419358484057,
      0.0610493593870907,
      0.06019623948722155,
      0.059354674771657887,
      0.05852450822668837,
      0.05770558507970043,
      0.05689775259896398,
      0.05610086015864792,
      0.05531475925445927,
      0.05453930326947738,
      0.053774347689437695,
      0.0530197500395163,
      0.05227536967603593,
      0.05154106799237585,
      0.05081670823476814,
      0.05010215552252128,
      0.04939727676063769,
      0.04870194065479759,
      0.048016017748883776,
      0.04733938037394447,
      0.0466719025820118,
      0.04601346016577851,
      0.04536393063404517,
      0.04472319310142331,
      0.04409112836859462,
      0.04346761884368205,
      0.04285254850797606,
      0.0422458029638327,
      0.04164726938073114,
      0.04105683645671357,
      0.04047439447838543,
      0.03989983511593469,
      0.039333051491225006,
      0.03877393821601137,
      0.03822239133133491,
      0.03767830833805386,
      0.037141588067460526,
      0.03661213077359677,
      0.036089838119448756,
      0.03557461306382815,
      0.035066359896215406,
      0.03456498403823624,
      0.03407039233295806,
      0.033582492926159974,
      0.03310119519081128,
      0.03262640973584552,
      0.03215804836873463,
      0.03169602404681371,
      0.03124025097305562,
      0.030790644528091785,
      0.03034712117801492,
      0.029909598593323466,
      0.029477995467009504,
      0.029052231689859674,
      0.02863222819619139,
      0.02821790704601147,
      0.027809191218805217,
      0.027406004827609225,
      0.027008273044903337,
      0.026615921053440638,
      0.026228868295646347,
      0.025847034309579544,
      0.025470342636967964,
      0.025098719843317047,
      0.024732094944355316,
      0.024370398765544865,
      0.02401356488607484,
      0.023661531052437467,
      0.023314235429274684,
      0.022971616218013143,
      0.02263361168843845,
      0.02230016053489746,
      0.021971202049661714,
      0.021646676056881923,
      0.021326523173160694,
      0.021010684619436185,
      0.02069910230234406,
      0.020391714854952805,
      0.02008844537143622,
      0.01978921875333085,
      0.019493967315453095,
      0.019202628784109693,
      0.01891514483202571,
      0.0186314600294385,
      0.018351521028996044,
      0.018075276210310152,
      0.017802675420706522,
      0.017533669575004518,
      0.017268210482361348,
      0.017006250918063348,
      0.016747744457586734,
      0.016492645351884373,
      0.016240908481604473,
      0.015992489453827214,
      0.015747344459780557,
      0.015505430223794525,
      0.015266704132869142,
      0.015031124069454704,
      0.014798648589835931,
      0.014569236786986442,
      0.014342848295739258,
      0.01411944329972061,
      0.013898982483380437,
      0.013681426998695137,
      0.013466738497357904,
      0.013254879190253211,
      0.013045811769058367,
      0.012839499482742548,
      0.01263590599340308,
      0.012434995462636957,
      0.012236732595624826,
      0.012041082470640705,
      0.011848010561209555,
      0.01165748293150811,
      0.011469466014107102,
      0.011283926809138067,
      0.011100832621050421,
      0.01092015128682326,
      0.010741850979698245,
      0.010565900338673521,
      0.010392268345652544,
      0.010220924394412472,
      0.010051838386914607,
      0.00988498054516095,
      0.00972032151706369,
      0.009557832280237624,
      0.00939748428271882,
      0.009239249292694639,
      0.009083099389530756,
      0.008929007203949462,
      0.008776945651835098,
      0.00862688785955039,
      0.008478807452932577,
      0.00833267845389829,
      0.008188475070156239,
      0.008046171937741549,
      0.007905744021214089,
      0.00776716653469243,
      0.0076304151244346195,
      0.007495465817720001,
      0.007362294827065899,
      0.007230878717599342,
      0.007101194334201408,
      0.006973218837889733,
      0.006846929679766586,
      0.006722304766945293,
      0.00659932221690254,
      0.006477960201396667,
      0.006358197357264074,
      0.00624001263240701,
      0.00612338536231179,
      0.006008294915199745,
      0.005894721081991235,
      0.0057826439205449845,
      0.0056720435629225505,
      0.005562900589056055,
      0.005455195759676663,
      0.005348910168996299,
      0.005244025165260574,
      0.005140522201289944,
      0.005038383142986189,
      0.004937589969000175,
      0.004838125056408816,
      0.004739970882311175,
      0.0046431101843000784,
      0.004547525790805705,
      0.0044532008907452935,
      0.00436011891040625,
      0.004268263543709062,
      0.00417761864382269,
      0.004088168121512925,
      0.003999896308085403,
      0.003912787677794569,
      0.003826826907636941,
      0.0037419989126186042,
      0.0036582887293480455,
      0.003575681489001169,
      0.003494162740795308,
      0.003413718172394536,
      0.0033343336366061464
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567382252805814,
      10.338881989144385,
      10.10334907811887,
      9.86356105789161,
      9.621811414580478,
      9.380114793717551,
      9.140201522683702,
      8.903494070064076,
      8.671145996890443,
      8.44403926734737,
      8.222784326700307,
      8.007733367041094,
      7.799005275871267,
      7.596519443211429,
      7.400034308746245,
      7.2091843500828565,
      7.023516949896436,
      6.842526307306059,
      6.6656836655924065,
      6.492461970029812,
      6.322355563610681,
      6.154899065123926,
      5.989682575113615,
      5.826360439352836,
      5.664657905487331,
      5.504373932694782,
      5.345378894527813,
      5.187617964788516,
      5.0311091227303,
      4.875946463338914,
      4.722283905884133,
      4.570324927715141,
      4.420325298147369,
      4.272591533213098,
      4.127471142986973,
      3.9853572087724505,
      3.8466670617352396,
      3.71180499987072,
      3.581149792291642,
      3.455044609995794,
      3.333788821299497,
      3.2176319211102444,
      3.1067700245720418,
      3.001345330778277,
      2.9014416313082574,
      2.8070814393845103,
      2.7182325866438757,
      2.6347977355698937,
      2.556636316036866,
      2.4835555049901523,
      2.415313982265309,
      2.351654468214109,
      2.2922897940181945,
      2.2369093112055487,
      2.185174718691134,
      2.1366992859116607,
      2.0911019286453487,
      2.0480374900369736,
      2.0071758556339274,
      1.968212235139914,
      1.93089352234849,
      1.895023075560947,
      1.860446493922729,
      1.8270383770843415,
      1.7946903401955143,
      1.763310224045581,
      1.732824097384475,
      1.7031714074820377,
      1.6743015177684482,
      1.646170921294653,
      1.6187391854344846,
      1.5919697750323196,
      1.5658309945378406,
      1.5402948113616015,
      1.5153360253923396,
      1.490931673368623,
      1.4670606001899316,
      1.4437031477445479,
      1.42084092397056,
      1.3984566310922533,
      1.3765339602998077,
      1.3550581671764768,
      1.334015600929785,
      1.3133931790461266,
      1.2931787283540719,
      1.2733603783852612,
      1.2539265052958666,
      1.2348657998978365,
      1.2161673072493,
      1.1978204468740574,
      1.1798150206798772,
      1.1621412113033303,
      1.1447895763906657,
      1.1277512419054743,
      1.1110184876976459,
      1.0945841686659568,
      1.0784413773710144,
      1.0625831166350501,
      1.0470023895259173,
      1.0316922811614706,
      1.0166460114013527,
      1.0018569669424877,
      0.9873195033261292,
      0.973028877538532,
      0.9589801069609978,
      0.9451680249319071,
      0.9315874001011708,
      0.9182330156689412,
      0.9050997207039769,
      0.8921824629421198,
      0.8794763088687771,
      0.8669766242028089,
      0.8546801823298198,
      0.8425841488053029,
      0.8306852155908346,
      0.8189797998729653,
      0.8074641746192258,
      0.7961345556375722,
      0.7849871585195999,
      0.7740182360876043,
      0.7632241022125406,
      0.7526011461100722,
      0.7421458409922053,
      0.7318547488511855,
      0.7217245217916741,
      0.7117519023527898,
      0.7019337222787289,
      0.6922669009468932,
      0.6827484429287101,
      0.6733754355536244,
      0.6641450289063344,
      0.6550543957635658,
      0.6461006973777762,
      0.6372806806808657,
      0.6285911451499647,
      0.6200291891371997,
      0.6115921227544283,
      0.6032773533030242,
      0.5950824105190788,
      0.5870049685269114,
      0.5790428156604318,
      0.5711938331412286,
      0.5634559803754037,
      0.5558272842227829,
      0.548305831534407,
      0.540889763373301,
      0.533577270764102,
      0.5263665910803952,
      0.5192560055556971,
      0.5122438370068446,
      0.5053284480292005,
      0.49850823895625584,
      0.4917816470900824,
      0.4851471449705179,
      0.4786032391894457,
      0.4721484692207472,
      0.46578140642415833,
      0.4595006531513212,
      0.4533048416037991,
      0.4471926330064315,
      0.4411627166936309,
      0.43521380931625975,
      0.42934465404592237,
      0.42355401975480844,
      0.41784070035320353,
      0.41220351408420913,
      0.406641302728083,
      0.4011529310242962,
      0.3957372860601116,
      0.390393276603075,
      0.38511983245552855,
      0.37991590396160707,
      0.3747804613377344,
      0.3697124945157369,
      0.3647109800082906,
      0.35977468799124496,
      0.3549023637792971,
      0.3500928734101995,
      0.34534517048256097,
      0.3406582735662458,
      0.3360312506232467,
      0.33146320791799516,
      0.3269532826305146,
      0.3225006373148284,
      0.3181044563017644,
      0.3137639429270461,
      0.3094783175397433,
      0.3052468162345782,
      0.301068710739744,
      0.296943439753818,
      0.29287048599926324,
      0.28884932648444833,
      0.284879805362486,
      0.2809620610939845,
      0.27709601136606243,
      0.27328136483106463,
      0.26951772422524267,
      0.2658048087414724,
      0.26214252023863877,
      0.2585306077159116,
      0.2549686638945353,
      0.25145618002341263,
      0.24799258255267842,
      0.24457725784342474,
      0.2412095690267674,
      0.23788886694620415,
      0.234614497820972,
      0.2313858082833434,
      0.22820214845878628,
      0.22506287434829214,
      0.22196734912855343,
      0.2189149295921183,
      0.2159049094008009,
      0.21293658909092025,
      0.21000931009113044,
      0.20712244451282633,
      0.20427538805621098,
      0.2014675549229831,
      0.19869837469107335,
      0.19596728991923792,
      0.19327375472731298,
      0.1906172335082926,
      0.18799720012363114,
      0.18541313738870022,
      0.18286453656712065,
      0.18035089716519243,
      0.17787172656799408,
      0.1754265395421366,
      0.17301485837923722,
      0.17063621268289908,
      0.16829013918650235,
      0.16597618153179147,
      0.16369389017944036,
      0.16144282233071885,
      0.15922254179702872,
      0.15703261874665767,
      0.15487262974861948,
      0.15274215769984728,
      0.15064079150920703,
      0.14856812616048448,
      0.14652376267135622,
      0.14450730789148503,
      0.14251837427247638,
      0.14055657990846157,
      0.13862154847193775,
      0.13671290908965106,
      0.13483029631087534,
      0.1329733499455473,
      0.13114171501338476,
      0.12933504158814776,
      0.12755298485434236,
      0.12579520499486244,
      0.1240613669353515,
      0.1223511404021182,
      0.12066419995687434,
      0.11900022466488197,
      0.11735889821652752,
      0.11573990889802992,
      0.11414294939896465,
      0.11256771669733553,
      0.11101391213686151,
      0.10948124118759549,
      0.10796941358271508,
      0.10647814311938884,
      0.10500714765750559,
      0.1035561489476091,
      0.10212487284070296,
      0.10071304895829265,
      0.09932041066157733,
      0.0979466950775817,
      0.09659164307467726,
      0.0952549991171262,
      0.0939365112020331,
      0.09263593091009369,
      0.09135301333522147,
      0.09008751695635821,
      0.08883920356550774,
      0.08760783836011954,
      0.08639318975467238,
      0.08519502929883999,
      0.08401313190907998,
      0.08284727551714847,
      0.0816972411303456,
      0.0805628129371868,
      0.07944377794771837,
      0.07833992615915948,
      0.07725105050923285,
      0.07617694683403209,
      0.07511741375670562,
      0.07407225264666167,
      0.0730412676648288,
      0.07202426568881146,
      0.07102105622884436,
      0.0700314514105941,
      0.06905526597372412,
      0.06809231720042332,
      0.06714242501899441,
      0.06620541160787331,
      0.065281101701536,
      0.06436932256221013,
      0.06346990368746595,
      0.0625826769456598,
      0.0617074764882296,
      0.060844138778568244,
      0.0599925026229764,
      0.059152408908262774,
      0.05832370062699673,
      0.05750622306632506,
      0.05669982359217645,
      0.05590435170798131,
      0.05511965892781642,
      0.05434559875536913,
      0.05358202680743855,
      0.05282880067468305,
      0.05208577978040584,
      0.05135282553891171,
      0.050629801340187165,
      0.049916572296804324,
      0.04921300537291558,
      0.04851896939920725,
      0.04783433507605888,
      0.04715897478321159,
      0.046492762660017554,
      0.0458355745775397,
      0.04518728804763644,
      0.04454778237033431,
      0.04391693841874649,
      0.04329463861181455,
      0.042680766997547824,
      0.04207520934275316,
      0.04147785274858477,
      0.040888586060609015,
      0.04030729960749877,
      0.039733885149431485,
      0.03916823588895514,
      0.038610246525568395,
      0.03805981318900566,
      0.037516833425389015,
      0.036981206227326924,
      0.036452831878553485,
      0.03593161204217214,
      0.035417449707784994,
      0.034910249286930636,
      0.034409916427740675,
      0.033916357993426766,
      0.033429482214020756,
      0.03294919856656548,
      0.03247541757738855,
      0.03200805124588336,
      0.03154701256368406,
      0.031092215766675292,
      0.030643576320955268,
      0.030201010745211563,
      0.029764436803054663,
      0.02933377325131438,
      0.028908940053952437,
      0.02848985825663815,
      0.02807644998019385,
      0.02766863830696201,
      0.027266347463332827,
      0.026869502650724818,
      0.02647803003280999,
      0.026091856847638605,
      0.025710911319839404,
      0.025335122634446254,
      0.02496441809090819,
      0.024598720018286224,
      0.024237953474326546,
      0.023882047782602823,
      0.02353093786583349,
      0.023184560377641068,
      0.022842852405618258,
      0.022505751555780957,
      0.022173196064478828,
      0.021845124817328067,
      0.0215214774852684,
      0.02120219456800081,
      0.020887217186422925,
      0.020576487392880257,
      0.02026994795659084,
      0.01996754236234542,
      0.01966920525992451,
      0.019374859984859393,
      0.01908443598765638,
      0.01879786928680189,
      0.018515100500591297,
      0.018236073730551375,
      0.01796073557913726,
      0.017689034660743296,
      0.017420921139594658,
      0.01715634635613139,
      0.01689526265573568,
      0.016637623379708665,
      0.016383382714432362,
      0.016132495562627885,
      0.015884917506471957,
      0.01564060471620783,
      0.015399514045483514,
      0.015161602849318962,
      0.01492682921789826,
      0.014695151735708801,
      0.014466529586378238,
      0.014240922417976636,
      0.014018290433061497,
      0.013798594359664513,
      0.013581795513630441,
      0.013367855665907851,
      0.013156737070842037,
      0.012948402534399932,
      0.012742815357179183,
      0.012539939330656575,
      0.012339738645869626,
      0.01214217801379196,
      0.011947222552411168,
      0.011754837904312337,
      0.011564990190900116,
      0.011377645968660127,
      0.011192772282418339,
      0.01101033651044481,
      0.010830306516674555,
      0.010652650504417382,
      0.010477337216255319,
      0.010304335743709885,
      0.010133615576191897,
      0.0099651466784818,
      0.009798899315580744,
      0.009634844228706795,
      0.009472952495066392,
      0.00931319559242152,
      0.009155545388988747,
      0.00899997410293361,
      0.008846454339823426,
      0.008694958978584109,
      0.008545461326062037,
      0.008397934980268714,
      0.008252354000593135,
      0.008108692735739102,
      0.007966925875854946,
      0.007827028429524648,
      0.0076889757083982895,
      0.0075527434275282634,
      0.007418307610074027,
      0.007285644486651052,
      0.007154730796724234,
      0.007025543436240216,
      0.0068980595516966135,
      0.006772256666451995,
      0.006648112713602034,
      0.006525605866498477,
      0.006404714446822332,
      0.00628541706850276,
      0.0061676927636897935,
      0.006051520836812608,
      0.0059368807896792225,
      0.005823752406478711,
      0.005712115769869603,
      0.005601951246304193,
      0.005493239320021736,
      0.005385960904550363,
      0.005280097108429435,
      0.005175629212283182,
      0.005072538881488194,
      0.004970807992350381,
      0.004870418522910279,
      0.0047713528383718,
      0.0046735934692137895,
      0.00457712319531285,
      0.004481924940037094,
      0.004387982059680968,
      0.004295277972558871,
      0.004203796227812128,
      0.0041135207394415695,
      0.004024435589751728,
      0.003936525138689293,
      0.003849773975029767,
      0.0037641667350455173,
      0.003679688354066527,
      0.0035963239116791885,
      0.003514058764119723,
      0.0034328783786085897,
      0.0033527684035845745,
      0.003273714771351698
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567374311521993,
      10.338855710465243,
      10.103296674977722,
      9.863477480279935,
      9.621693316195856,
      9.379960073619786,
      9.140009379431918,
      8.90326423328112,
      8.6708786920432,
      8.443735018878177,
      8.222443796241617,
      8.007357228544176,
      7.798594121035923,
      7.596073726528492,
      7.399554317957069,
      7.208670205355816,
      7.022968623493885,
      6.8419436384366765,
      6.665066414673225,
      6.4918100177301525,
      6.321668850960326,
      6.154177657642185,
      5.988926913343761,
      5.8255712867939735,
      5.663836315469431,
      5.503521301648479,
      5.344497006369586,
      5.186709061379021,
      5.030175897888812,
      4.874991975541402,
      4.72131149603747,
      4.56933854737001,
      4.419329344353484,
      4.271590704459285,
      4.126470512076355,
      3.9843624812901623,
      3.8456839288626083,
      3.710838858152954,
      3.5802056511929217,
      3.4541270096266397,
      3.332901766247269,
      3.216778833394448,
      3.105953706327415,
      3.0005679488897425,
      2.9007045357167454,
      2.8063853071754705,
      2.717577166291055,
      2.6341816682640977,
      2.5560578031258627,
      2.4830119521814287,
      2.414802493584873,
      2.3511719966971425,
      2.291833047176081,
      2.2364747271741434,
      2.184758334249174,
      2.1362969424406684,
      2.0907099493794736,
      2.0476524883464657,
      2.006794656373457,
      1.9678322606515117,
      1.9305128512069747,
      1.8946402977651948,
      1.860060563224827,
      1.8266484542171244,
      1.7942957241622135,
      1.7629104516951248,
      1.7324188757939167,
      1.7027605660988074,
      1.6738849731654466,
      1.6457486645360357,
      1.618311270940295,
      1.5915362776124404,
      1.5653920028782875,
      1.5398504234392236,
      1.5148863444491087,
      1.4904768056168445,
      1.4666006539427219,
      1.4432382314267296,
      1.4203711452961925,
      1.3979820964393799,
      1.3760547848587108,
      1.3545744800096005,
      1.3335275211880262,
      1.3129008495979972,
      1.2926822895012826,
      1.27285995458907,
      1.2534222093684693,
      1.2343577358365456,
      1.2156555727801575,
      1.197305134736986,
      1.1792962194672933,
      1.1616190064111143,
      1.1442640505708241,
      1.127222491288768,
      1.1104866290584807,
      1.0940493182381008,
      1.0779036432667188,
      1.0620425952323558,
      1.0464591689161604,
      1.0311464433679185,
      1.0160976335237948,
      1.0013061225507582,
      0.9867664272592621,
      0.9724738203511275,
      0.9584232578857603,
      0.9446095310170518,
      0.9310273794675838,
      0.9176715660786496,
      0.9045369256927303,
      0.8916183962901452,
      0.8789110375706347,
      0.866410342947017,
      0.8541132700139056,
      0.8420168722132735,
      0.8301177666431258,
      0.818412319440321,
      0.806896768881134,
      0.7955673070562953,
      0.784420133439679,
      0.7734514897916311,
      0.7626576822847387,
      0.7520350950324595,
      0.7415801974953113,
      0.7312895488888735,
      0.7211597996250676,
      0.7111876909837878,
      0.7013700535903417,
      0.6917038060343039,
      0.6821859523166302,
      0.6728135790977479,
      0.6635838338518021,
      0.654493888806486,
      0.6455409223549476,
      0.6367217056380787,
      0.6280330248355074,
      0.6194719689267705,
      0.6110358522495035,
      0.6027221425593086,
      0.5945283683532147,
      0.5864521750498813,
      0.5784913313412426,
      0.5706437050779849,
      0.5629072463548558,
      0.5552799758014558,
      0.5477599758461281,
      0.5403453842290147,
      0.5330343896318206,
      0.5258252278984806,
      0.518716179025277,
      0.5117055649758687,
      0.5047917475109033,
      0.49797312662252013,
      0.491248139172154,
      0.4846152571271099,
      0.4780729866217366,
      0.4716198667801399,
      0.46525446868782583,
      0.4589753943136626,
      0.4527812754886257,
      0.4466707730473861,
      0.44064257603549895,
      0.4346954008341755,
      0.4288279903080399,
      0.42303911292860075,
      0.4173275622331616,
      0.4116921562154793,
      0.40613173632158084,
      0.4006451669176459,
      0.39523133464750265,
      0.38988914783580836,
      0.3846175360921255,
      0.3794154495078169,
      0.3742818581346867,
      0.3692157514933796,
      0.36421609411706724,
      0.3592816393903466,
      0.35441114183730416,
      0.3496034736456793,
      0.3448575925319383,
      0.34017251983768865,
      0.3355473254666814,
      0.3309811169010682,
      0.32647303196887306,
      0.3220222335823381,
      0.3176279061389444,
      0.3132892530149861,
      0.30900549453298504,
      0.30477586652673994,
      0.3005996583454033,
      0.2964763339347789,
      0.2924053613811675,
      0.2883862931995741,
      0.2844191190618833,
      0.2805039437231012,
      0.27664060801200774,
      0.27282877035553466,
      0.2690680138680523,
      0.2653580679356581,
      0.2616988153097681,
      0.25808997776130227,
      0.25453112957178087,
      0.25102174964747126,
      0.24756125591806227,
      0.24414902899457866,
      0.24078442815239598,
      0.23746680160819272,
      0.2341954937900102,
      0.2309698499967238,
      0.2277892197640134,
      0.22465295847928027,
      0.221560428906603,
      0.21851098209235092,
      0.21550390398460553,
      0.21253849953553844,
      0.20961411327084156,
      0.20673011926979262,
      0.20388591452312843,
      0.20108091417952148,
      0.19831454847372573,
      0.1955862603957575,
      0.19289550428451754,
      0.19024174479393305,
      0.1876244559479627,
      0.18504312061291386,
      0.18249723022002823,
      0.17998628425383925,
      0.1775097901164444,
      0.17506726266753336,
      0.1726582242145311,
      0.17028220435594446,
      0.16793873981089724,
      0.16562737426696078,
      0.16334765816262636,
      0.16109914868476702,
      0.15888140968145412,
      0.15669401146566417,
      0.15453653059795494,
      0.15240854994031375,
      0.1503096585237511,
      0.14823945135660418,
      0.14619752944673947,
      0.14418349949705667,
      0.14219697405620788,
      0.14023757136153012,
      0.13830491505231113,
      0.13639863435045652,
      0.13451836381221233,
      0.13266374330586073,
      0.13083441787156466,
      0.12903003766697116,
      0.12725025785831978,
      0.12549473862224747,
      0.12376314503593012,
      0.12205514688073774,
      0.12037041863854922,
      0.11870863954751636,
      0.11706949329094654,
      0.11545266822248612,
      0.11385785700801632,
      0.11228475663751698,
      0.11073306852118943,
      0.10920249823740144,
      0.10769275556755901,
      0.10620355444970674,
      0.10473461264686164,
      0.10328565208948583,
      0.10185639867848316,
      0.10044658201258168,
      0.0990559354970578,
      0.09768419639531993,
      0.09633110561391837,
      0.09499640762057318,
      0.09367985059081263,
      0.09238118607764172,
      0.09110016923341865,
      0.08983655861183101,
      0.08859011612137144,
      0.08736060687626428,
      0.08614779942748757,
      0.08495146555082543,
      0.0837713801388505,
      0.08260732114839028,
      0.0814590696157256,
      0.0803264097818192,
      0.07920912876737816,
      0.07810701670400494,
      0.0770198665922519,
      0.07594747427573623,
      0.07488963851734826,
      0.07384616072657492,
      0.07281684518309305,
      0.07180149880944492,
      0.07079993122406264,
      0.06981195466366541,
      0.0688373838868632,
      0.06787603633508017,
      0.06692773189594908,
      0.06599229290191153,
      0.06506954405783481,
      0.06415931265745498,
      0.06326142829107766,
      0.06237572287951905,
      0.06150203071384362,
      0.06064018843374918,
      0.059790034820540586,
      0.058951410827235956,
      0.05812415967079586,
      0.05730812659884163,
      0.05650315906468951,
      0.055709106586146015,
      0.05492582084751977,
      0.054153155463009174,
      0.05339096601772371,
      0.052639110147840194,
      0.051897447488727565,
      0.051165839474514696,
      0.050444149564434264,
      0.04973224303459035,
      0.04902998691038802,
      0.04833725010258533,
      0.04765390332162534,
      0.046979819004991805,
      0.04631487143878226,
      0.04565893657800952,
      0.04501189198130194,
      0.04437361684690088,
      0.04374399227150912,
      0.04312290070822665,
      0.04251022637133285,
      0.041905855056066914,
      0.04130967413633269,
      0.0407215723710383,
      0.04014144009122333,
      0.03956916922464684,
      0.0390046530624025,
      0.03844778635832894,
      0.03789846528785791,
      0.037356587475877515,
      0.03682205202696233,
      0.03629475930050622,
      0.03577461102465218,
      0.03526151029457684,
      0.03475536146796672,
      0.03425607034517628,
      0.03376354394476587,
      0.03327769047124206,
      0.03279841944974628,
      0.03232564161438384,
      0.031859268973206886,
      0.031399214664861876,
      0.030945392892731544,
      0.030497719146464004,
      0.030056110122902886,
      0.02962048354027644,
      0.029190758325970578,
      0.028766854464516715,
      0.02834869318133435,
      0.0279361965262621,
      0.02752928773051263,
      0.027127891109935447,
      0.02673193185166807,
      0.026341336243174033,
      0.025956031510944444,
      0.025575946044849664,
      0.02520100910508029,
      0.02483115093976822,
      0.024466302683864148,
      0.02410639644562127,
      0.02375136588670708,
      0.023401144799756395,
      0.023055663202803327,
      0.022714852765688825,
      0.0223786477059408,
      0.02204698397756802,
      0.021719798791490757,
      0.021397030827603396,
      0.02107861984514617,
      0.02076450662335704,
      0.02045463279933121,
      0.020148941096024345,
      0.0198473748686158,
      0.0195498783662592,
      0.019256396144768647,
      0.018966859423613626,
      0.018681193510563462,
      0.018399331751379925,
      0.018121213219080133,
      0.017846781247838655,
      0.017575982155209606,
      0.01730876442106018,
      0.01704507839038358,
      0.0167848757351562,
      0.016528109411363734,
      0.01627473331544264,
      0.016024702116362765,
      0.015777971249704054,
      0.015534496889244452,
      0.015294235921389817,
      0.015057145858771603,
      0.014823184762950876,
      0.014592311257888914,
      0.01436448453315299,
      0.014139664374692799,
      0.013917811077147199,
      0.013698885408944745,
      0.01348284875123429,
      0.01326966291436145,
      0.013059290395368522,
      0.01285169404632741,
      0.012646837170390383,
      0.012444683587916222,
      0.012245197640674513,
      0.012048344153842379,
      0.011854088272520826,
      0.011662395783108724,
      0.011473232851815576,
      0.01128656608276229,
      0.011102362584094024,
      0.010920589845394813,
      0.010741215654657226,
      0.01056420852702479,
      0.010389537222358127,
      0.010217170826508725,
      0.010047078859655677,
      0.009879231379584413,
      0.009713598781183445,
      0.00955015183951617,
      0.009388861677830205,
      0.009229699819624062,
      0.0090726381849578,
      0.008917649018514856,
      0.008764705117949106,
      0.00861377943427002,
      0.008464845258546615,
      0.008317876326882391,
      0.008172846780984223,
      0.008029730977565031,
      0.007888503686886117,
      0.007749139987175242,
      0.0076116152305396026,
      0.007475905156207112,
      0.007341985852406576,
      0.0072098337071003415,
      0.007079425379046625,
      0.006950737852354662,
      0.0068237484225791775,
      0.0066984346457705166,
      0.0065747743965106475,
      0.00645274592137084,
      0.006332327587835208,
      0.00621349825119962,
      0.006096236936116862,
      0.005980522957976401,
      0.005866335828763083,
      0.005753655399525386,
      0.005642461838333417,
      0.005532735578038766,
      0.005424457290296214,
      0.005317607777816185,
      0.005212168217296137,
      0.005108119932555633,
      0.005005444575966865,
      0.004904124037192568,
      0.004804140442105693,
      0.004705476133435288,
      0.004608113792480483,
      0.0045120361864774226,
      0.004417226336292058,
      0.004323667526401359,
      0.004231343200781501,
      0.004140237139808928,
      0.004050333237472187,
      0.003961615597216301,
      0.0038740685332184477,
      0.003787676623232432,
      0.0037024246671187163,
      0.0036182976208916336,
      0.003535280715697915,
      0.00345335920274841,
      0.0033725186769926526,
      0.003292744842430865,
      0.0032140236661077526
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567366373187642,
      10.33882943849363,
      10.10324427237207,
      9.863393886041836,
      9.621575175217409,
      9.379805275389128,
      9.139817115839561,
      8.90303422421287,
      8.670611153701284,
      8.443430468007545,
      8.222102889378842,
      8.006980634294434,
      7.798182428396629,
      7.595627390703218,
      7.399073627852001,
      7.208155279832107,
      7.022419435475468,
      6.841360011511041,
      6.664448075040569,
      6.491156829921883,
      6.320980763598287,
      6.153454745198456,
      5.9881696238113715,
      5.824780390388328,
      5.663012872337078,
      5.502666716068493,
      5.3436130699723305,
      5.185798022406023,
      5.029240456811676,
      4.87403518924252,
      4.720336705265495,
      4.568349710258837,
      4.418330865244184,
      4.270587289546212,
      4.1254672414314255,
      3.9833650692867386,
      3.844698075663612,
      3.7098699692556263,
      3.5792587442561836,
      3.4532066323985373,
      3.3320119307219613,
      3.2159229674901044,
      3.105134616441869,
      2.999787807387709,
      2.8999646970716575,
      2.805686452206469,
      2.716918978116526,
      2.6335628034120817,
      2.555476477350448,
      2.482465584894365,
      2.4142882020179064,
      2.3506867462991585,
      2.2913735567355875,
      2.236037445561955,
      2.1843392278148626,
      2.1358918759450227,
      2.0903152662725497,
      2.047264818261862,
      2.006410837707895,
      1.9674497255949777,
      1.9301296846448401,
      1.8942550948975576,
      1.8596722798020178,
      1.8262562514161131,
      1.7938989006371007,
      1.762508543379607,
      1.7320115890189107,
      1.7023477287913835,
      1.6734665005417526,
      1.645324546539418,
      1.617881559905832,
      1.591101046643241,
      1.5649513389437562,
      1.5394044227566708,
      1.5144351089326202,
      1.4900204404458715,
      1.4661392656395162,
      1.4427719263391816,
      1.419900029500693,
      1.397506274822659,
      1.3755743719389637,
      1.354089604092391,
      1.3330383004917479,
      1.312407425842729,
      1.2921848019390014,
      1.2723585264338693,
      1.252916952250514,
      1.2338487530002382,
      1.2151429605160708,
      1.1967889845381479,
      1.1787766190266207,
      1.161096040578134,
      1.1437378014526063,
      1.1266930545328147,
      1.1099541210723276,
      1.0935138547048924,
      1.0773653315697527,
      1.0615015310503375,
      1.0459154394199408,
      1.03060012979874,
      1.0155488129008972,
      1.0007549341214428,
      0.9862131390325627,
      0.9719186485076586,
      0.9578663681751963,
      0.9440510543935079,
      0.9304674227223471,
      0.917110219268595,
      0.9039742671908972,
      0.8910544959244574,
      0.8783459593832955,
      0.865844297685751,
      0.8535466291424345,
      0.84144989773756,
      0.8295506467706294,
      0.8178451925394584,
      0.8063297393768047,
      0.7950004561470598,
      0.7838535265928612,
      0.7728851816448118,
      0.7620917199842373,
      0.7514695204975393,
      0.7410150493792407,
      0.7307248632229236,
      0.7205956104967657,
      0.7106240310214942,
      0.7008069544081669,
      0.6911412986390654,
      0.6816240670205237,
      0.6722523456483012,
      0.6630232795414395,
      0.6539340400257094,
      0.644981822688542,
      0.6361634232129924,
      0.6274756140007721,
      0.6189154749151319,
      0.6104803138146158,
      0.6021676126919362,
      0.5939749621260313,
      0.5858999933512499,
      0.5779404485942653,
      0.5700941777696349,
      0.5623591184993314,
      0.5547332829321155,
      0.5472147475993158,
      0.5398016462913301,
      0.532492164955604,
      0.5252845373162761,
      0.5181770418002712,
      0.5111679993147683,
      0.5042557708638475,
      0.49743875559257306,
      0.49071538969586176,
      0.48408414477431055,
      0.4775435265064622,
      0.47109207374452977,
      0.4647283570979299,
      0.4584509781536029,
      0.4522585683466309,
      0.44614978822256485,
      0.44012332640960833,
      0.43417789899167775,
      0.42831224849773497,
      0.4225251431723795,
      0.4168153761239961,
      0.4111817650149021,
      0.40562315095008455,
      0.40013839791421896,
      0.3947263924036537,
      0.38938604252002634,
      0.3841162774676992,
      0.3789160469238146,
      0.37378432051172494,
      0.36872008753346835,
      0.36372230063249766,
      0.35878969636399294,
      0.35392103852433066,
      0.3491152054624905,
      0.34437115920178646,
      0.3396879237393083,
      0.3350645707405106,
      0.3305002087879825,
      0.32599397645528316,
      0.3215450371475053,
      0.31715257542499237,
      0.312815794660401,
      0.30853391504196714,
      0.30430617221181633,
      0.3001318796365724,
      0.29601051778158144,
      0.29194156019791423,
      0.28792468457717335,
      0.28395996440764504,
      0.2800474306317538,
      0.27618685848307234,
      0.27237786373982886,
      0.26862001497071963,
      0.26491305515086705,
      0.2612568501233464,
      0.2576510959118073,
      0.25409534957200414,
      0.2505890781094312,
      0.24713169150869363,
      0.24372256494712888,
      0.24036105403021407,
      0.23704650462015167,
      0.23377825943346844,
      0.23055566274324796,
      0.22737806310292422,
      0.22424481547755395,
      0.22115528233272813,
      0.2181088065496553,
      0.21510466959782684,
      0.2121421806077035,
      0.20922068691588225,
      0.2063395645769514,
      0.20349821182909986,
      0.2006960446875602,
      0.19793249397638238,
      0.195207003087641,
      0.19251902666451073,
      0.18986802952905588,
      0.18725348576207748,
      0.1846748783784339,
      0.18213169890877184,
      0.17962344682388576,
      0.17714962943618537,
      0.1747097617051849,
      0.17230336601093066,
      0.1699299720796125,
      0.16758911659623849,
      0.16528034328684948,
      0.16300320259885523,
      0.16075725174805466,
      0.15854205458053308,
      0.15635718140699512,
      0.15420220882292474,
      0.15207671970480877,
      0.1499803031406104,
      0.14791255409768703,
      0.14587307359694762,
      0.14386146838225125,
      0.14187735103888424,
      0.13992033981081325,
      0.13799005844697387,
      0.1360861362033944,
      0.13420820772212408,
      0.13235591288786383,
      0.1305288966619137,
      0.12872680926234983,
      0.12694930594024298,
      0.12519604692433522,
      0.1234666973047083,
      0.12176092684221256,
      0.1200784101042916,
      0.1184188264190004,
      0.11678185960223814,
      0.11516719792185798,
      0.11357453406355117,
      0.11200356519974614,
      0.110453992748954,
      0.1089255223650783,
      0.10741786382608826,
      0.1059307310763891,
      0.10446384206020555,
      0.10301691877185645,
      0.10158968704611798,
      0.10018187652048083,
      0.09879322076275451,
      0.09742345702422464,
      0.09607232630419058,
      0.0947395731599142,
      0.09342494584731172,
      0.09212819599041641,
      0.09084907880363274,
      0.08958735285525196,
      0.08834278009751001,
      0.08711512583813505,
      0.08590415864118847,
      0.08470965026792086,
      0.08353137562553758,
      0.08236911283853343,
      0.08122264308017847,
      0.08009175058983671,
      0.07897622264071874,
      0.07787584931154581,
      0.07679042368220318,
      0.07571974176614876,
      0.07466360232637605,
      0.07362180683814458,
      0.07259415964283958,
      0.0715804677237761,
      0.0705805407370783,
      0.0695941910169867,
      0.06862123347955205,
      0.06766148552013565,
      0.06671476711712858,
      0.06578090080499677,
      0.06485971144048684,
      0.06395102631167963,
      0.06305467511568835,
      0.06217048984361973,
      0.06129830481402142,
      0.060437956670391355,
      0.05958928430455962,
      0.0587521287790332,
      0.057926333333746756,
      0.05711174338172177,
      0.05630820649064618,
      0.05551557223257838,
      0.05473369223536827,
      0.053962420219189344,
      0.053201611885055754,
      0.05245112502116162,
      0.05171081928585466,
      0.05098055622062999,
      0.050260199250838994,
      0.04954961374139896,
      0.04884866680532522,
      0.04815722746575268,
      0.04747516659262405,
      0.046802356697285386,
      0.046138672070345575,
      0.04548398869069821,
      0.04483818428758392,
      0.04420113824062361,
      0.04357273152102545,
      0.04295284685542585,
      0.04234136846033047,
      0.041738182122826456,
      0.04114317527128652,
      0.04055623683602109,
      0.039977257176285474,
      0.039406128235251255,
      0.038842743437143355,
      0.038286997653580346,
      0.03773878713103614,
      0.03719800962071198,
      0.03666456425652898,
      0.03613835142587149,
      0.035619273004478993,
      0.03510723220567971,
      0.03460213346372178,
      0.03410388260465073,
      0.03361238658042288,
      0.03312755372603841,
      0.03264929363379364,
      0.0321775171786622,
      0.03171213638656143,
      0.03125306451685887,
      0.03080021589846037,
      0.030353506170875684,
      0.02991285195120207,
      0.02947817112542245,
      0.029049382670418154,
      0.02862640666189756,
      0.028209164276613838,
      0.027797577735368287,
      0.02739157026616422,
      0.026991066230100395,
      0.026595991003697035,
      0.026206270928584643,
      0.02582183334143537,
      0.025442606658693804,
      0.025068520204531437,
      0.024699504214151492,
      0.02433548994885337,
      0.02397640954774437,
      0.023622196429960954,
      0.02327278773095367,
      0.022928122180137983,
      0.022588138086323453,
      0.02225277365625962,
      0.021921964743403646,
      0.02159564232442045,
      0.021273739600606415,
      0.020956192708432485,
      0.02064293993995127,
      0.020333921370788655,
      0.020029078383567534,
      0.019728353661031987,
      0.019431691037693714,
      0.019139035273696765,
      0.01885033195276333,
      0.018565524865667114,
      0.018284544021448745,
      0.018007318432738315,
      0.017733784588468485,
      0.017463884124573097,
      0.01719756250134109,
      0.016934767912123314,
      0.016675450513951966,
      0.016419562340641448,
      0.01616705661203315,
      0.01591788772273326,
      0.015672010694043306,
      0.015429381691256242,
      0.015189957514468262,
      0.014953695575704638,
      0.014720553935336361,
      0.014490491163115833,
      0.014263466595640697,
      0.01403944005590518,
      0.013818371918498008,
      0.013600223094108698,
      0.013384955047901681,
      0.013172529673925683,
      0.012962909368355357,
      0.012756057136291145,
      0.012551936453015175,
      0.012350511235432198,
      0.012151745814812159,
      0.01195560508326668,
      0.011762054483338938,
      0.011571059681298432,
      0.0113825869034304,
      0.0111966028544424,
      0.011013074694796727,
      0.01083196995649895,
      0.010653256682979338,
      0.010476903259032479,
      0.010302878624056004,
      0.010131151971989785,
      0.0099616929486214,
      0.009794471583198353,
      0.009629458304495972,
      0.009466624002978133,
      0.0093059398973773,
      0.009147377593611566,
      0.008990909017798102,
      0.008836506496959023,
      0.008684142733211327,
      0.00853379087469235,
      0.008385424359127359,
      0.008239016994405844,
      0.00809454290645987,
      0.007951976571334078,
      0.007811292727854339,
      0.007672466520101782,
      0.007535473393433201,
      0.007400289189180789,
      0.0072668899988515,
      0.007135252318224766,
      0.0070053528980741275,
      0.006877168754615731,
      0.006750677212838511,
      0.006625855843028671,
      0.006502682627239558,
      0.006381135866260474,
      0.00626119404382594,
      0.006142835875606906,
      0.006026040601108108,
      0.005910787501233496,
      0.005797056243346437,
      0.005684826712314512,
      0.005574079084281611,
      0.0054647938378460095,
      0.005356951588403703,
      0.005250533285650842,
      0.005145520183174697,
      0.00504189372051845,
      0.004939635583811335,
      0.004838727672175441,
      0.00473915216008169,
      0.004640891484737477,
      0.004543928334278344,
      0.004448245560899804,
      0.004353826259811363,
      0.00426065371551089,
      0.004168711387133755,
      0.004077983072605932,
      0.003988452749326045,
      0.003900104594313448,
      0.0038129230554028335,
      0.003726892714071812,
      0.0036419983266039726,
      0.003558224967752296,
      0.003475557775071758,
      0.0033939820622460194,
      0.0033134834268428856,
      0.0032340476237882427,
      0.0031556607067170198
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56735843739582,
      10.338803164178108,
      10.103191852733511,
      9.863310248460236,
      9.621456949616139,
      9.379650340083519,
      9.139624652825212,
      8.902803939788397,
      8.67034325248589,
      8.443125459822042,
      8.221761425742608,
      8.006603381054568,
      7.797769972778232,
      7.595180185592485,
      7.398591960519809,
      7.207639269510479,
      7.021869054925981,
      6.840775072771433,
      6.663828293302232,
      6.4905020686430515,
      6.320290975229403,
      6.152730006087831,
      5.987410384289006,
      5.823987424405389,
      5.662187243993124,
      5.501809833190035,
      5.342726728626687,
      5.184884475292897,
      5.028302409804045,
      4.873075705725623,
      4.7193591316065975,
      4.567358009869081,
      4.417329446962377,
      4.269580864313361,
      4.124460896410622,
      3.982364527591431,
      3.8437090464014405,
      3.7088978657142753,
      3.5783085917112922,
      3.4522829856113284,
      3.3311188084973278,
      3.2150638048832687,
      3.1043122275621093,
      2.999004370615929,
      2.899221573080122,
      2.8049843276564776,
      2.7162575430743567,
      2.6329407220524312,
      2.554891972056007,
      2.4819160807146186,
      2.4137708207181436,
      2.3501984581561555,
      2.2909110856532933,
      2.235597244159188,
      2.1839172658813157,
      2.1354840213992206,
      2.0899178654039012,
      2.0468745023001715,
      2.006024433658616,
      1.9670646570007246,
      1.929744043005631,
      1.893867478745291,
      1.8592816473175526,
      1.8258617655028475,
      1.793499860050729,
      1.7621044840011388,
      1.7316022163837268,
      1.7019328704790644,
      1.6730460705673524,
      1.6448985334224921,
      1.617450014812478,
      1.5906640408657944,
      1.5645089579327258,
      1.5389567610108665,
      1.513982266616805,
      1.4895625213815036,
      1.465676375091505,
      1.442304170021079,
      1.4194275123207647,
      1.3970291005378812,
      1.3750926536825476,
      1.3536034689476555,
      1.332547865322512,
      1.3119128314513948,
      1.291686186750243,
      1.271856012832174,
      1.2524106506355757,
      1.2333387653486985,
      1.2146293827871673,
      1.1962719075654578,
      1.1782561297260215,
      1.1605722227069815,
      1.1432107365809498,
      1.1261628402148636,
      1.1094208715621587,
      1.0929776843097698,
      1.0768263466193961,
      1.060959826393782,
      1.045371101626433,
      1.0300532395871722,
      1.0149994460366805,
      1.0002032480112644,
      0.9856594100555358,
      0.9713630832569602,
      0.9573091258506443,
      0.9434922611048263,
      0.9299071817597071,
      0.9165486179670682,
      0.9034113822830501,
      0.890490396475251,
      0.8777807086853121,
      0.8652782099813299,
      0.8529800390428838,
      0.840883042927016,
      0.8289836992114539,
      0.8172782790354892,
      0.8057629564760419,
      0.794433879872847,
      0.7832872188080204,
      0.7723191943859853,
      0.7615260986404611,
      0.7509043057660103,
      0.7404502785876024,
      0.7301605715050508,
      0.720031831443118,
      0.7100607968828612,
      0.7002442965405127,
      0.6905792474013075,
      0.6810626521687372,
      0.6716915966426652,
      0.662463223222764,
      0.6533747027014747,
      0.6444232481023001,
      0.6356056797658163,
      0.626918756228623,
      0.6183595481516013,
      0.6099253569049008,
      0.6016136598393854,
      0.5934220718535487,
      0.5853482803575035,
      0.5773900079644715,
      0.5695450798435957,
      0.5618114169231633,
      0.5541870198516528,
      0.5466699572066808,
      0.5392583571692472,
      0.5319504015312215,
      0.5247443214729023,
      0.5176383937109221,
      0.5106309374246105,
      0.5037203124958011,
      0.49690491751827276,
      0.49018318783315235,
      0.48355359458886393,
      0.47701464297333257,
      0.47056487148071274,
      0.4642028503864785,
      0.45792718078312233,
      0.45173649392728643,
      0.4456294499366086,
      0.43960473708648923,
      0.4336610709480383,
      0.42779719380347453,
      0.42201187347842173,
      0.4163039029679721,
      0.4106720995368376,
      0.4051153039585487,
      0.3996323799217145,
      0.39422221352974246,
      0.38888371261823085,
      0.38361580596771816,
      0.37841744302463975,
      0.3732875931667409,
      0.36822524522758715,
      0.36322934011712404,
      0.35829859787029206,
      0.353431791330894,
      0.34862780506427254,
      0.3438856050358213,
      0.33920421814335117,
      0.33458271780408855,
      0.33002021386910796,
      0.32551584544434936,
      0.3210687762392175,
      0.3166781910673156,
      0.31234329334909444,
      0.308063303100178,
      0.30383745587201144,
      0.2996650990469106,
      0.29554571626753756,
      0.29147882281678505,
      0.2874642215948078,
      0.28350202787475326,
      0.2795921852693687,
      0.2757344116153368,
      0.27192828565450183,
      0.2681733635796751,
      0.264469403258545,
      0.2608162554807187,
      0.2572135918162688,
      0.2536609527305317,
      0.2501577938551866,
      0.24670351752237107,
      0.2432974939934601,
      0.23993907529967665,
      0.2366276049540715,
      0.23336242415612757,
      0.23014287604113373,
      0.22696830851264105,
      0.22383807602561837,
      0.22075154072266215,
      0.21770803483839812,
      0.2147068387528517,
      0.21174726542394015,
      0.20882866485454946,
      0.2059504148674431,
      0.20311191489409597,
      0.20031258182589332,
      0.19755184698422687,
      0.1948291541729286,
      0.19214395836161577,
      0.18949572442259333,
      0.18688392661732253,
      0.18430804807990128,
      0.18176758025853848,
      0.1792620226947647,
      0.17679088279684244,
      0.17435367554296488,
      0.17194992340650275,
      0.16957915606452983,
      0.16724091017525458,
      0.16493472956081762,
      0.16266016468344865,
      0.16041677277481833,
      0.15820411763960454,
      0.1560217696356315,
      0.15386930543604058,
      0.15174630792960245,
      0.14965236609341567,
      0.14758707500965132,
      0.14555003581686013,
      0.1435408552456878,
      0.14155914588937238,
      0.13960452602662551,
      0.13767661946124068,
      0.13577505544158458,
      0.13389946859588883,
      0.1320494988264211,
      0.13022479126401498,
      0.12842499619404013,
      0.1266497688833567,
      0.12489876961371772,
      0.123171663361343,
      0.12146811998753,
      0.1197878142344919,
      0.11813042540600828,
      0.11649563731047491,
      0.11488313831395162,
      0.11329262117851518,
      0.1117237830296666,
      0.11017632536310024,
      0.10864995391310325,
      0.10714437857325591,
      0.1056593133051106,
      0.10419447616245556,
      0.10274958909344456,
      0.1013243780424972,
      0.09991857275346949,
      0.09853190684027131,
      0.09716411759092378,
      0.09581494601920565,
      0.09448413683358071,
      0.09317143825355616,
      0.09187660204185813,
      0.09059938337040198,
      0.08933954091449339,
      0.08809683673666449,
      0.08687103619499366,
      0.08566190795836678,
      0.08446922383297124,
      0.0832927587368094,
      0.0821322909362184,
      0.08098760169326046,
      0.07985847528314521,
      0.0787446989716446,
      0.07764606296166043,
      0.07656236037254709,
      0.07549338728425879,
      0.07443894257247287,
      0.07339882785244901,
      0.0723728474582323,
      0.07136080854329321,
      0.07036252078064523,
      0.06937779654008645,
      0.0684064508810729,
      0.06744830129471867,
      0.06650316779185958,
      0.06557087300343568,
      0.06465124178804595,
      0.06374410151570759,
      0.06284928196000425,
      0.06196661521187879,
      0.06109593571015718,
      0.06023708016326294,
      0.05938988747899206,
      0.058554198807923896,
      0.05772985754076899,
      0.05691670912635743,
      0.0561146011902013,
      0.055323383416205546,
      0.054542907575987815,
      0.053773027489813344,
      0.053013598848762715,
      0.052264479377914896,
      0.051525528848202856,
      0.050796608956161754,
      0.05007758325850551,
      0.04936831714872276,
      0.04866867789781845,
      0.047978534597513896,
      0.04729775805581384,
      0.046626220966657354,
      0.045963797730337506,
      0.04531036435021365,
      0.04466579870482138,
      0.044029980120778404,
      0.04340278971137684,
      0.04278411025138655,
      0.042173826026405604,
      0.041571822980396064,
      0.04097798861209982,
      0.04039221186788486,
      0.03981438332298384,
      0.03924439491761982,
      0.0386821400926757,
      0.03812751381314911,
      0.03758041248664957,
      0.03704073382649208,
      0.036508377028737986,
      0.03598324263983166,
      0.035465232566168195,
      0.03495425010170601,
      0.034450199770205345,
      0.0339529874519404,
      0.033462520270712344,
      0.032978706584310576,
      0.03250145616433822,
      0.03203067981188092,
      0.03156628962314121,
      0.031108198858988977,
      0.030656322057964404,
      0.03021057486431849,
      0.029770874080187058,
      0.02933713752807837,
      0.028909284286221137,
      0.028487234534371464,
      0.02807090946445183,
      0.02766023138592994,
      0.027255123663515304,
      0.026855510659331498,
      0.02646131774874101,
      0.026072471460880084,
      0.02568889924221351,
      0.025310529535224193,
      0.02493729170192071,
      0.024569116116319477,
      0.024205934012948963,
      0.023847677586639596,
      0.023494280178393185,
      0.023145678692308283,
      0.02280181212768451,
      0.02246261887205399,
      0.022128037198120225,
      0.021798005721631576,
      0.021472463288202903,
      0.021151349516320393,
      0.020834604528784547,
      0.020522168426015175,
      0.02021397706315315,
      0.019909965710451685,
      0.019610072864188893,
      0.0193142394837243,
      0.019022408372122032,
      0.018734523882147257,
      0.01845053158383752,
      0.018170378140352217,
      0.01789400704253661,
      0.017621347717138025,
      0.017352332484944923,
      0.017086900331587277,
      0.016824995167546514,
      0.016566564348810195,
      0.016311557739285998,
      0.01605992725346791,
      0.015811626318194345,
      0.015566609556558001,
      0.01532483262898471,
      0.015086252097655548,
      0.014850825288059644,
      0.014618510178846892,
      0.014389265377035377,
      0.014163050159319797,
      0.013939824433101329,
      0.01371954857302042,
      0.013502183551784855,
      0.013287690933393227,
      0.013076032696890925,
      0.012867171367311478,
      0.012661069944877925,
      0.01245769198887194,
      0.012257001487438312,
      0.012058962964587784,
      0.011863541359879647,
      0.01167070202459995,
      0.011480410833900412,
      0.01129263415467993,
      0.011107338751874054,
      0.01092449175340866,
      0.01074406082660945,
      0.010566014097506685,
      0.010390320099690124,
      0.01021694765716199,
      0.010045866112836803,
      0.009877045125348505,
      0.009710454900095814,
      0.009546066008554073,
      0.00938384931732699,
      0.00922377608395078,
      0.009065817964744153,
      0.008909947037236344,
      0.008756135792496391,
      0.008604356918811156,
      0.008454583525534761,
      0.008306789145621414,
      0.008160947587141757,
      0.008017033148716374,
      0.007875020340371514,
      0.007734884063519049,
      0.0075965994297356315,
      0.007460141968373693,
      0.0073254876260084745,
      0.00719261260844252,
      0.007061493344344083,
      0.0069321066412612155,
      0.0068044295369744465,
      0.006678439412995059,
      0.006554114058610991,
      0.006431431469035422,
      0.006310369956407845,
      0.006190908109098597,
      0.006073024745774214,
      0.005956699010556205,
      0.005841910240093955,
      0.005728638181559842,
      0.005616862862176913,
      0.005506564485432445,
      0.005397723499623096,
      0.00529032070573386,
      0.0051843370291949405,
      0.005079753725068302,
      0.004976552361699571,
      0.004874714589183423,
      0.004774222430148361,
      0.004675058107270124,
      0.0045772040752429695,
      0.004480643066513939,
      0.004385357934444285,
      0.004291331821246241,
      0.004198548060149061,
      0.004106990281650586,
      0.004016642285649788,
      0.003927488041398361,
      0.0038395117837211282,
      0.0037526979701629454,
      0.003667031245425584,
      0.003582496482872327,
      0.0034990787124202266,
      0.003416763131702542,
      0.003335535168911917,
      0.003255380463713449,
      0.003176284861713654,
      0.00309823438446432
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56735049417873,
      10.3387768620074,
      10.103139367743392,
      9.863226490683891,
      9.621338530991514,
      9.379495122573655,
      9.139431805356663,
      8.902573156248224,
      8.670074728669814,
      8.44281970007201,
      8.221419076634405,
      8.006225103691508,
      7.7973563499994185,
      7.59473166769109,
      7.398108833288857,
      7.2071216516879595,
      7.021316918659074,
      6.840188231357092,
      6.663206461711923,
      6.489845110208842,
      6.319598842159703,
      6.152002776098422,
      5.986648508539755,
      5.82319167725711,
      5.661358690860112,
      5.500949884634111,
      5.341837184309357,
      5.183967592845038,
      5.027360900632489,
      4.872112639575032,
      4.718377862996274,
      4.566362508822532,
      4.416324130334261,
      4.268570452988348,
      4.123450487637393,
      3.981359856929523,
      3.8427158359651283,
      3.7079215424573944,
      3.5773541937970084,
      3.451355080612278,
      3.330221426334946,
      3.214200390279172,
      3.1034856034275586,
      2.998216724298466,
      2.898474272195562,
      2.804278064582375,
      2.7155920141652943,
      2.6323145985328438,
      2.55430348188826,
      2.481362654507521,
      2.413249585919117,
      2.3497063900846484,
      2.2904449117261527,
      2.235153420158047,
      2.1834917611762754,
      2.1350727050295264,
      2.089517082902028,
      2.046480884111001,
      2.005634804029499,
      1.9666764365224352,
      1.9293553229370624,
      1.8934768578800556,
      1.8588880837379969,
      1.8254644202818557,
      1.7930980296042351,
      1.7616977021510474,
      1.731190187064541,
      1.7015154190329758,
      1.6726231094809834,
      1.6444700492479487,
      1.6170160565339582,
      1.5902246781623415,
      1.5640642746695352,
      1.5385068504016768,
      1.5135272277568792,
      1.4891024563899418,
      1.4652113877271995,
      1.4418343642954858,
      1.418952991918831,
      1.3965499682814868,
      1.3746090214093412,
      1.3531154630630378,
      1.3320556019296377,
      1.3114164498587486,
      1.2911858237756517,
      1.2713517896578592,
      1.2519026770758368,
      1.2328271425558797,
      1.2141142052579945,
      1.1957532653627314,
      1.1777341090830027,
      1.1600469067426853,
      1.1426822059725623,
      1.1256312033324856,
      1.1088862385977254,
      1.0924401665589725,
      1.0762860484007049,
      1.0604168409381265,
      1.0448255143319773,
      1.0295051295364532,
      1.0144488884223093,
      0.9996503998185692,
      0.985104547500024,
      0.9708064121659701,
      0.9567508042117961,
      0.9429324142873791,
      0.9293459125328251,
      0.915986013672444,
      0.9028475189195424,
      0.8899253422455735,
      0.8772145265032834,
      0.8647112139420483,
      0.8524125632852663,
      0.8403153247478029,
      0.8284159103229628,
      0.8167105465389541,
      0.8051953768512075,
      0.7938665286104943,
      0.7827201571818819,
      0.7717524740412837,
      0.7609597648248383,
      0.7503383990578968,
      0.7398848362198962,
      0.7295956283638185,
      0.7194674207195189,
      0.7094969506842299,
      0.6996810460557544,
      0.6900166231818251,
      0.6805006838632005,
      0.6711303131266371,
      0.6619026511393987,
      0.6528148681412714,
      0.6438641945217493,
      0.6350474753107757,
      0.6263614554412501,
      0.6178031960742673,
      0.609369992277612,
      0.6010593169212989,
      0.5928687817906089,
      0.5847961098968296,
      0.5768390705703994,
      0.5689954650166303,
      0.5612631910723128,
      0.5536402333864275,
      0.5461246497905328,
      0.5387145612773864,
      0.531408144452289,
      0.5242036267528806,
      0.5170992822728258,
      0.5100934286470178,
      0.5031844242123358,
      0.49637066653940565,
      0.48965059040802694,
      0.48302266619752987,
      0.4764853985433482,
      0.47003732534170567,
      0.463677016497241,
      0.4574030727229483,
      0.4512141248808607,
      0.44510883262156,
      0.4390858840050761,
      0.43314399445513246,
      0.42728190581317904,
      0.42149838572466436,
      0.4157922267506025,
      0.4101622456655115,
      0.4046072829451505,
      0.39912620201492044,
      0.39371788866832985,
      0.38838125043023747,
      0.3831152157898607,
      0.37791873381537655,
      0.37279077369445024,
      0.3677303238722636,
      0.36273630808185586,
      0.3578074370251383,
      0.35294249212303697,
      0.3481403636166507,
      0.3434000214222489,
      0.3387204948656332,
      0.33410085906405723,
      0.3295402248819406,
      0.3250377320709604,
      0.3205925446947082,
      0.31620384769174764,
      0.3118708443759906,
      0.3075927547661557,
      0.30336881432009405,
      0.2991984043329208,
      0.29508101171025714,
      0.2910162374105092,
      0.28700400098112444,
      0.2830443958778094,
      0.2791372881178457,
      0.2752823441511184,
      0.27147911663038776,
      0.26772714831095723,
      0.2640262070768157,
      0.26037613111125796,
      0.25677656908123975,
      0.25322704581400096,
      0.24972700657336144,
      0.24627584661964785,
      0.24287293130264292,
      0.23951760946206313,
      0.23620922251460658,
      0.2329471101018855,
      0.22973061431917416,
      0.22655908240206502,
      0.2234318683144523,
      0.22034833389408026,
      0.21730780078442324,
      0.21430954844497604,
      0.21135289380448616,
      0.20843718935780967,
      0.20556181466156317,
      0.20272617042026186,
      0.19992967422665478,
      0.19717175792739303,
      0.194451865727243,
      0.19176945277098936,
      0.1891239842486156,
      0.18651493461459795,
      0.1839417870203422,
      0.18140403305996478,
      0.1789011722688786,
      0.1764327119727772,
      0.1739981671419977,
      0.17159706036693245,
      0.16922892124787162,
      0.1668932865657077,
      0.16458970005718576,
      0.1623177122971185,
      0.16007688051568994,
      0.15786676859199514,
      0.15568694687464207,
      0.1535369920514436,
      0.15141648700465166,
      0.14932502085451688,
      0.1472621886771454,
      0.14522759155046008,
      0.1432208363943641,
      0.14124153584701754,
      0.13928930814483692,
      0.13736377710125447,
      0.13546457199985915,
      0.13359132752337308,
      0.13174368363484013,
      0.12992128544904474,
      0.12812378327875984,
      0.12635083247444692,
      0.1246020932472274,
      0.12287723071703499,
      0.12117591488052994,
      0.11949782046715386,
      0.11784262680398833,
      0.11621001773943422,
      0.11459968163213716,
      0.11301131140574189,
      0.11144460419817943,
      0.10989926163549438,
      0.10837498938230522,
      0.10687149746922901,
      0.10538849986448859,
      0.1039257146252193,
      0.10248286386496454,
      0.10105967356283137,
      0.09965587345600165,
      0.0982711972245937,
      0.09690538225103344,
      0.09555816964009066,
      0.0942293041435285,
      0.09291853404003422,
      0.09162561107824356,
      0.09035029059055141,
      0.08909233129524886,
      0.08785149530122355,
      0.08662754811157414,
      0.08542025837210382,
      0.08422939792364885,
      0.08305474193528618,
      0.08189606863291243,
      0.08075315927070216,
      0.07962579826937437,
      0.07851377293940234,
      0.0774168735613596,
      0.07633489339725978,
      0.07526762854079432,
      0.07421487801349695,
      0.07317644344186348,
      0.07215212924006587,
      0.07114174259301309,
      0.07014509334414608,
      0.0691619939952181,
      0.06819225959468826,
      0.06723570767338939,
      0.06629215822141178,
      0.06536143399846726,
      0.06444336006523704,
      0.06353776377845873,
      0.06264447502337755,
      0.06176332592748608,
      0.06089415099290683,
      0.06003678702454949,
      0.059191073060399294,
      0.0583568503292674,
      0.0575339622483942,
      0.05672225437214273,
      0.055921574408979255,
      0.05513177206518361,
      0.0543526992207139,
      0.053584209677221994,
      0.052826159393662926,
      0.05207840618608447,
      0.051340809876663236,
      0.050613232202167534,
      0.04989553678979914,
      0.04918758912478051,
      0.04848925652780462,
      0.0478004081171999,
      0.04712091486381568,
      0.04645064946851551,
      0.04578948647842597,
      0.04513730199028597,
      0.044493973900544964,
      0.043859381672332165,
      0.04323340638520449,
      0.04261593084182069,
      0.0420068395858855,
      0.04140601853568745,
      0.04081335527447968,
      0.04022873884209824,
      0.03965205990063747,
      0.039083210512021814,
      0.03852208421693288,
      0.03796857605246274,
      0.03742258246743971,
      0.03688400128770508,
      0.03635273170888846,
      0.03582867441857149,
      0.035311731402792285,
      0.03480180596764251,
      0.03429880274689767,
      0.03380262768601179,
      0.033313187951530925,
      0.03283039212235942,
      0.03235414991530208,
      0.03188437224925431,
      0.03142097125647762,
      0.030963860375361318,
      0.03051295409150526,
      0.03006816815730128,
      0.029629419472264207,
      0.029196625946077002,
      0.028769706667463375,
      0.028348581918780747,
      0.02793317299139995,
      0.027523402221458448,
      0.02711919306149039,
      0.026720469908264342,
      0.026327158328640906,
      0.02593918481922661,
      0.025556476919714417,
      0.02517896308820152,
      0.024806572822063423,
      0.02443923654109924,
      0.024076885588752442,
      0.02371945226224127,
      0.023366869814853777,
      0.023019074700166495,
      0.022676005942412376,
      0.022337602232334275,
      0.02200380211978891,
      0.021674544307554777,
      0.021349767856428878,
      0.02102941229011223,
      0.020713417854514166,
      0.020401725442529307,
      0.02009427667425512,
      0.019791013935527405,
      0.019491880279317548,
      0.019196819450746177,
      0.01890577479596889,
      0.018618685152323577,
      0.018335490773653967,
      0.01805613459624952,
      0.017780561830876344,
      0.017508719238998317,
      0.01724054937350763,
      0.016975982366962114,
      0.016714952829063535,
      0.016457401813535038,
      0.016203274971893854,
      0.015952521214464443,
      0.01570509201406559,
      0.01546094073902344,
      0.015220022069398507,
      0.014982291953076649,
      0.014747707426700937,
      0.014516226262674204,
      0.014287807039042562,
      0.014062408900577205,
      0.013839991723248487,
      0.013620515937663561,
      0.013403942500920817,
      0.013190232972717233,
      0.012979349479146862,
      0.01277125458305755,
      0.012565911315440369,
      0.012363283367531955,
      0.012163334808347491,
      0.01196603022381557,
      0.01177133455865715,
      0.011579213296930343,
      0.011389632409410325,
      0.01120255826447873,
      0.011017957788982296,
      0.010835798236540798,
      0.010656047331806548,
      0.010478673207679182,
      0.010303644454188016,
      0.01013093006364413,
      0.00996049945540057,
      0.009792322368577508,
      0.009626368978688295,
      0.009462609939502637,
      0.009301016248973079,
      0.009141559249814035,
      0.00898421068264975,
      0.008828942632205931,
      0.00867572758952767,
      0.008524538477636755,
      0.00837534847529878,
      0.008228131153489904,
      0.008082860384363243,
      0.007939510467913217,
      0.007798056049997288,
      0.007658472080137212,
      0.0075207337895591125,
      0.007384816670341749,
      0.007250696691036803,
      0.00711835008753444,
      0.006987753410001506,
      0.0068588835389089995,
      0.006731717670680052,
      0.006606233177241364,
      0.006482407828928985,
      0.006360219796262101,
      0.006239647322565208,
      0.006120669071247796,
      0.006003264003657585,
      0.005887411341247153,
      0.005773090464830804,
      0.005660281113539856,
      0.005548963419929731,
      0.005439117691789174,
      0.005330724430566859,
      0.0052237643436294934,
      0.005118218535858289,
      0.005014068270121352,
      0.00491129510991426,
      0.00480988082784675,
      0.004709807474201162,
      0.004611057280966644,
      0.004513612751056824,
      0.004417456589661203,
      0.004322571763731763,
      0.004228941523893955,
      0.004136549389850158,
      0.004045378939159583,
      0.003955413991022974,
      0.0038666385681440114,
      0.003779036923088149,
      0.003692593590976605,
      0.003607293201492016,
      0.003523120704859094,
      0.003440061134662061,
      0.0033580997589185615,
      0.0032772221304853064,
      0.0031974138776756453,
      0.0031186608194555985,
      0.0030409490563163993
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567342543434854,
      10.338750528320185,
      10.103086806886992,
      9.863142593661992,
      9.621219894578386,
      9.379339594944193,
      9.139238542618981,
      8.90234183922836,
      8.669805541988241,
      8.442513138865833,
      8.221075780911164,
      8.005845731722273,
      7.7969414828930095,
      7.594281754421237,
      7.397624159098381,
      7.206602333899767,
      7.02076292875798,
      6.8395993779842605,
      6.662582457242868,
      6.489185815364827,
      6.318904209209777,
      6.151272883799638,
      5.985883809849275,
      5.822392949664451,
      5.660527003359221,
      5.5000866501787025,
      5.340944207246695,
      5.183047136458862,
      5.026415683966294,
      4.871145740152799,
      4.717392642357877,
      4.5653629443539465,
      4.41531464669393,
      4.267555781051264,
      4.122435781526448,
      3.9803509065574594,
      3.841718367721934,
      3.706940987047604,
      3.5763955929767812,
      3.4504230058842276,
      3.329319911706121,
      3.213332884261313,
      3.1026549326311095,
      2.997425078703899,
      2.8977230228438002,
      2.8035679071641453,
      2.714922648272016,
      2.631684698965819,
      2.553711280042731,
      2.48080558350917,
      2.412724774361924,
      2.349210814606262,
      2.2899753008878205,
      2.2347062309298495,
      2.1830629622014417,
      2.134658165361111,
      2.0891131486886794,
      2.0460841859502836,
      2.0052421648925516,
      1.9662852764228065,
      1.9289637325583466,
      1.8930834349099201,
      1.8584917846490132,
      1.8250644048225386,
      1.7926935928207897,
      1.7612883759396907,
      1.730775673155892,
      1.7010955414283706,
      1.6721977788880544,
      1.644039250835644,
      1.6165798374539015,
      1.5897831065930381,
      1.5636174330709922,
      1.53805483089793,
      1.5130701279219119,
      1.488640377320659,
      1.4647444316563927,
      1.4413626340319508,
      1.4184765898234737,
      1.396068995742818,
      1.3741235894967323,
      1.3526256969199106,
      1.3315616166766617,
      1.3109183844166268,
      1.2906838145178108,
      1.2708459564611336,
      1.251393128766417,
      1.2323139796228275,
      1.2135975217152715,
      1.1952331504186113,
      1.1772106483107643,
      1.1595201825482955,
      1.1421522980697745,
      1.12509821939132,
      1.1083502927024618,
      1.091901371892069,
      1.0757445062705073,
      1.0598726424186353,
      1.0442787429594567,
      1.0289558633375555,
      1.0138972017322085,
      0.9990964486105283,
      0.9845486070294942,
      0.9702486878638009,
      0.9561914538804394,
      0.9423715630715817,
      0.928783662890626,
      0.91542245204199,
      0.9022827208733641,
      0.8893593759891735,
      0.8766474548253448,
      0.8641433512985333,
      0.8518442439028061,
      0.8397467856909413,
      0.8278473225511674,
      0.8161420365423376,
      0.804627040488563,
      0.7932984409455038,
      0.7821523794598978,
      0.7711850577203178,
      0.7603927544516821,
      0.7497718345302855,
      0.739318754466243,
      0.7290300641903017,
      0.7189024069028681,
      0.7089325189650529,
      0.6991172272537856,
      0.6894534472471928,
      0.6799381802466453,
      0.6705685107572551,
      0.6613415761526054,
      0.6522545460669461,
      0.6433046687106645,
      0.6344888139026483,
      0.6258037127670978,
      0.617246417218415,
      0.608814215767444,
      0.6005045765233407,
      0.5923151081061566,
      0.5842435314308884,
      0.5762876603689503,
      0.5684453354374838,
      0.5607144275506362,
      0.5530928994592358,
      0.5455787938684864,
      0.5381702214531897,
      0.530865351767674,
      0.5236624073930015,
      0.5165596589747117,
      0.5095554217601299,
      0.5026480524643874,
      0.4958359471546217,
      0.489117539545273,
      0.48249129922623724,
      0.4759557303874305,
      0.469509370383434,
      0.46315078855025327,
      0.4568785853544523,
      0.45069139124394486,
      0.4445878655865532,
      0.4385666960813586,
      0.4326265976558273,
      0.4267663117680626,
      0.4209846057615079,
      0.41528027189451855,
      0.40965212670945045,
      0.4040990104389806,
      0.398619786122075,
      0.39321333909351563,
      0.38787857657024627,
      0.3826144268800728,
      0.3774198386387841,
      0.37229378071824765,
      0.36723524132881924,
      0.3622431218342874,
      0.3573161306861667,
      0.35245305707932467,
      0.34765279661593423,
      0.3429143228379457,
      0.33823666763333654,
      0.33361890752238055,
      0.3290601542135727,
      0.3245595480877109,
      0.3201162534567442,
      0.3157294553413502,
      0.31139835717284564,
      0.30712217884043785,
      0.30290016606623293,
      0.298731729083173,
      0.2946163833240729,
      0.2905538001238186,
      0.2865439879737599,
      0.28258701292132576,
      0.27868266929087976,
      0.274830576129605,
      0.2710302626187053,
      0.267281276682212,
      0.26358338887496113,
      0.2599364089342728,
      0.2563399657244773,
      0.2527935708725362,
      0.24929666069029705,
      0.2458486243877798,
      0.2424488232642013,
      0.23909660331480487,
      0.23579130388531538,
      0.23253226341189306,
      0.22931882326176783,
      0.22615033005902635,
      0.22302613724327944,
      0.21994560641474856,
      0.2169080487175358,
      0.21391274268052113,
      0.21095900902728068,
      0.20804620283496528,
      0.2051737055084519,
      0.20234091889800132,
      0.19954726143661772,
      0.19679216560968749,
      0.19407507598374563,
      0.1913954480302627,
      0.18875274695121658,
      0.18614644727881732,
      0.1835760322432926,
      0.18104099349260688,
      0.1785408306796899,
      0.17607505127194414,
      0.17364317031674298,
      0.17124471022511403,
      0.16887920073250473,
      0.16654617863656,
      0.1642451876606601,
      0.16197577843710662,
      0.1597375083046965,
      0.15752994106664436,
      0.15535264707093832,
      0.15320520299020757,
      0.15108719178438368,
      0.14899820262937993,
      0.1469378305645181,
      0.1449056767095542,
      0.1429013479708351,
      0.14092445698689948,
      0.13897462217322856,
      0.1370514673321509,
      0.13515462187021676,
      0.13328372032594937,
      0.1314384027526509,
      0.12961831434809926,
      0.12782310541155467,
      0.12605243132286423,
      0.12430595245406989,
      0.12258333396361835,
      0.12088424584010993,
      0.11920836273903442,
      0.11755536414579107,
      0.11592493410242277,
      0.11431676093639563,
      0.11273053753736419,
      0.11116596120313334,
      0.109622733532018,
      0.10810056031691383,
      0.10659915159242,
      0.10511822139109828,
      0.10365748777370842,
      0.10221667284720905,
      0.10079550272032568,
      0.09939370727512145,
      0.09801102021232248,
      0.09664717899514841,
      0.09530192478021511,
      0.09397500233590747,
      0.09266616004313839,
      0.09137514976192403,
      0.09010172692664245,
      0.08884565031649397,
      0.08760668208564044,
      0.086384587709656,
      0.08517913593735836,
      0.08399009865235857,
      0.08281725102863158,
      0.08166037145629113,
      0.08051924133843069,
      0.0793936450612955,
      0.07828337010224223,
      0.07718820683682075,
      0.07610794852808793,
      0.07504239133934709,
      0.0739913342678723,
      0.07295457911766,
      0.0719319303775882,
      0.07092319528068947,
      0.06992818368917383,
      0.0689467081576102,
      0.0679785838245991,
      0.06702362839974897,
      0.06608166207423573,
      0.06515250744686248,
      0.06423598966260931,
      0.06333193621999847,
      0.0624401771373812,
      0.06156054462881465,
      0.060692873281420284,
      0.05983699993274095,
      0.058992763626616124,
      0.05816000575222694,
      0.057338569733727175,
      0.05652830116648057,
      0.05572904795818909,
      0.05494066000486639,
      0.05416298912559122,
      0.053395889207835355,
      0.05263921623341877,
      0.051892828232831006,
      0.051156585040597245,
      0.05043034848044087,
      0.0497139821730147,
      0.04900735168452498,
      0.048310324494923354,
      0.04762276987497795,
      0.0469445587539051,
      0.0462755639465719,
      0.04561565997752523,
      0.04496472309600451,
      0.04432263120518969,
      0.043689263956814654,
      0.04306450262034907,
      0.04244823004734807,
      0.04184033057500243,
      0.04124069046037318,
      0.04064919731649434,
      0.04006574026968586,
      0.03949021000805132,
      0.038922498628983046,
      0.038362499823379505,
      0.03781010858832922,
      0.03726522152716874,
      0.03672773665625027,
      0.0361975532076545,
      0.03567457184690994,
      0.035158694746610195,
      0.034649825211118326,
      0.03414786796715377,
      0.033652729008233545,
      0.03316431563798766,
      0.032682536388208616,
      0.03220730106237737,
      0.03173852074276196,
      0.03127610766271806,
      0.030819975242185094,
      0.030370038175786127,
      0.02992621223610636,
      0.029488414322950098,
      0.02905656254901365,
      0.028630576053206448,
      0.02821037505669473,
      0.02779588099014008,
      0.02738701629416816,
      0.026983704440677818,
      0.026585869926217313,
      0.02619343831999094,
      0.025806336265273074,
      0.02542449139610861,
      0.025047832244923424,
      0.02467628829354226,
      0.024309790072604177,
      0.023948268883293836,
      0.02359165714549202,
      0.023239888253990582,
      0.022892898212941715,
      0.02255062611745844,
      0.022213010829669783,
      0.021879991127753008,
      0.021551505790636298,
      0.021227494034111737,
      0.020907895463429815,
      0.020592650512668998,
      0.020281700144558077,
      0.019974986013743378,
      0.019672450549629388,
      0.019374036845559668,
      0.019079688715495088,
      0.01878935084303165,
      0.01850296859633754,
      0.018220488074829372,
      0.017941856184283487,
      0.017667020460454992,
      0.01739592840590341,
      0.017128523613687954,
      0.016864749903704433,
      0.016604547281144556,
      0.016347845833262018,
      0.016094581061123655,
      0.01584469503008264,
      0.015598134444557458,
      0.015354849440717654,
      0.015114792563898697,
      0.014877918372916606,
      0.014644182797584284,
      0.014413543023264494,
      0.014185957074821374,
      0.01396138394469671,
      0.013739783381187195,
      0.013521115667065499,
      0.013305341832742954,
      0.013092423516101147,
      0.012882322799392994,
      0.01267500228940235,
      0.012470425130067672,
      0.01226855496574887,
      0.012069355970542912,
      0.011872792822251276,
      0.011678830557420946,
      0.011487434796775687,
      0.011298571572196953,
      0.011112207377911125,
      0.010928309115506041,
      0.01074684415474001,
      0.01056778027552102,
      0.010391085777086834,
      0.010216729283357715,
      0.010044679810786664,
      0.009874906805918326,
      0.009707380120740516,
      0.009542070021848101,
      0.009378947302476036,
      0.0092179830027152,
      0.009059148544040762,
      0.008902415750523644,
      0.008747756782949388,
      0.008595144156787393,
      0.008444550723280455,
      0.008295949868446801,
      0.008149315249321294,
      0.008004620824428006,
      0.007861840872383608,
      0.007720950094473653,
      0.007581923502593224,
      0.007444736480384713,
      0.007309364603707276,
      0.0071757838566603935,
      0.007043970581825867,
      0.006913901361815182,
      0.006785553175680921,
      0.006658903257486786,
      0.006533929089799474,
      0.006410608518828617,
      0.006288919616459426,
      0.00616884077247211,
      0.0060503506605538845,
      0.0059334283072391605,
      0.005818053009598002,
      0.0057042043303503105,
      0.005591862042978254,
      0.005481006211506046,
      0.005371617137145706,
      0.005263675389331471,
      0.005157161857640665,
      0.005052057663457279,
      0.0049483440538527716,
      0.004846002748020425,
      0.0047450155154372,
      0.0046453644736118346,
      0.004547031871059733,
      0.004450000336100924,
      0.004354252668594125,
      0.004259771880525739,
      0.004166541180308281,
      0.004074544027656525,
      0.003983764100408868,
      0.003894185313281286,
      0.003805791748222868,
      0.003718567770216261,
      0.0036324978639367556,
      0.0035475667573970104,
      0.0034637593557556245,
      0.0033810607836250515,
      0.0032994563840665746,
      0.0032189317437572207,
      0.003139472534450753,
      0.0030610646859535063,
      0.002983694254427385
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567334586282831,
      10.338724168301185,
      10.103034181944237,
      9.863058577438307,
      9.621101066638584,
      9.379183788830549,
      9.139044881109017,
      8.902109993960883,
      8.669535690890305,
      8.442205772956795,
      8.22073153816114,
      8.0054652676192,
      7.796525376885511,
      7.5938304558123155,
      7.397137953423349,
      7.2060813383068965,
      7.0202071139869355,
      6.83900851656753,
      6.66195625805379,
      6.488524136736061,
      6.318207009545791,
      6.150540247064562,
      5.9851161930281265,
      5.821591133534805,
      5.6596920624199045,
      5.499220003590312,
      5.340047665142903,
      5.182122967807987,
      5.025466614019188,
      4.870174854230271,
      4.716403311106453,
      4.564359154498428,
      4.414300832870966,
      4.2665366842578125,
      4.121416606265887,
      3.9793374907008054,
      3.8407164433729553,
      3.705955991929847,
      3.575432576199636,
      3.4494865454858825,
      3.328414047714102,
      3.2124610706329433,
      3.1018200005227397,
      2.996629222785283,
      2.896967617935873,
      2.8028536518276725,
      2.714249246025256,
      2.6310508289349137,
      2.5531151767915494,
      2.4802446820128745,
      2.412196205937668,
      2.348711558612115,
      2.2895020884703157,
      2.234255520544254,
      2.1826307224506514,
      2.1342402648098036,
      2.0887059325172257,
      2.045684284080613,
      2.004846399660801,
      1.965891065486955,
      1.9285691648853311,
      1.8926871066566677,
      1.8580926512264508,
      1.8246616238628357,
      1.7922864565054937,
      1.7608764142060123,
      1.7303585867050253,
      1.700673152251866,
      1.6717699958443832,
      1.6436060570704816,
      1.6161412781960665,
      1.589339248573939,
      1.5631683571362096,
      1.5376006267966311,
      1.5126108915840444,
      1.4881762079278857,
      1.4642754303376266,
      1.4408889021473315,
      1.4179982286653985,
      1.3955861055661127,
      1.3736362799290007,
      1.352134092433804,
      1.3310658314866795,
      1.3104185562102364,
      1.2901800785751623,
      1.2703384323762377,
      1.2508819245285439,
      1.231799194796316,
      1.2130792496650513,
      1.1947114796309872,
      1.1766856636220013,
      1.1589919658732932,
      1.1416209284256758,
      1.1245638039082249,
      1.1078129469686526,
      1.0913612093920357,
      1.0752016271659386,
      1.0593271366666646,
      1.0437306929628132,
      1.0284053465354093,
      1.0133442913030233,
      0.9985413594629817,
      0.9839915937320245,
      0.9696899417722178,
      0.9556311234180106,
      0.9418097666500911,
      0.9282204981593855,
      0.9148580024462782,
      0.9017170598389497,
      0.8887925695540168,
      0.8760796960855428,
      0.8635750183068773,
      0.8512756032007738,
      0.8391780287061983,
      0.8272785894760074,
      0.8155734324006935,
      0.8040586468364421,
      0.7927303235357979,
      0.7815845926518603,
      0.7706176483918683,
      0.7598257643807095,
      0.749205302014249,
      0.7387527151328313,
      0.7284645516379389,
      0.7183374536303705,
      0.7083681560414014,
      0.698553485194798,
      0.6888903558376723,
      0.6793757689868268,
      0.6700068086626234,
      0.6607806094569345,
      0.6516943404109127,
      0.6427452636273645,
      0.6339302758260987,
      0.6252460978797855,
      0.6166897716189346,
      0.6082585786974496,
      0.5999499826498521,
      0.5917615887637391,
      0.5836911153372607,
      0.5757363742991348,
      0.5678952571070849,
      0.5601656684119445,
      0.5525455416917052,
      0.545032898667484,
      0.5376258356355108,
      0.5303225123139576,
      0.5231211443995748,
      0.516019997864152,
      0.5090173844012029,
      0.5021116584777641,
      0.49530121456856735,
      0.48858448508402996,
      0.48195993863861897,
      0.4754260787410793,
      0.4689814421224513,
      0.4626245975956537,
      0.4563541450448984,
      0.4501687144983835,
      0.44406696500916587,
      0.43804758390788884,
      0.4321092859231028,
      0.426250812172111,
      0.420470929535606,
      0.41476842998669083,
      0.409142129750883,
      0.40359086868136124,
      0.39811350954760155,
      0.39270893739300405,
      0.3873760591160738,
      0.3821138026175235,
      0.3769211162523032,
      0.3717969686404634,
      0.36674034764300145,
      0.36175013239403575,
      0.35682502892876017,
      0.35196383448185814,
      0.34716544992636567,
      0.34242885244166893,
      0.33775307609498906,
      0.3331371989725616,
      0.32858033400539305,
      0.3240816221115195,
      0.3196402278104961,
      0.31525533627912794,
      0.31092615079667996,
      0.3066518911584736,
      0.3024318206333915,
      0.29826537479320064,
      0.2941521240080628,
      0.2900918429118013,
      0.2860845829151046,
      0.28213032357868306,
      0.2782288012079346,
      0.27437959704598963,
      0.27058222295923773,
      0.26683623639297416,
      0.26314141340653185,
      0.2594975364498163,
      0.2559042162223752,
      0.25236095191272373,
      0.24886717148207882,
      0.24542225848260063,
      0.24202557034745623,
      0.23867645051018885,
      0.23537423664049092,
      0.23211826599426374,
      0.2289078791079357,
      0.22574242205547942,
      0.22262124804154693,
      0.21954371681076795,
      0.21650912973595937,
      0.21351676592954316,
      0.21056594974770193,
      0.2076560387910282,
      0.2047864160269594,
      0.20195648439507274,
      0.19916566318932707,
      0.19641338528746116,
      0.19369909565114657,
      0.19102224999719414,
      0.1883823137498428,
      0.18577876157702852,
      0.18321107674469903,
      0.18067875096275013,
      0.17818128389501092,
      0.17571818312067378,
      0.1732889636066196,
      0.17089314778240866,
      0.16853026545577973,
      0.16619985342878196,
      0.16390145551980567,
      0.16163462232974654,
      0.1593989111470228,
      0.15719388580613064,
      0.15501911672305513,
      0.1528741806745773,
      0.15075866066521715,
      0.1486721458238075,
      0.1466142312280604,
      0.14458451799372235,
      0.14258261302503425,
      0.1406081290613119,
      0.13866068444146673,
      0.13673990312055173,
      0.13484541449244467,
      0.13297685321639652,
      0.1311338593260634,
      0.129316078170455,
      0.12752316001477595,
      0.12575476026055085,
      0.12401053935089863,
      0.12229016245614958,
      0.12059329961924707,
      0.11891962566208858,
      0.1172688200116684,
      0.11564056667455737,
      0.1140345540668012,
      0.11245047527153826,
      0.11088802748485385,
      0.1093469122382262,
      0.10782683550799807,
      0.10632750740062061,
      0.10484864204876462,
      0.10338995762896543,
      0.10195117628439357,
      0.10053202415670805,
      0.09913223115744194,
      0.09775153102603348,
      0.09638966136876409,
      0.09504636329124705,
      0.09372138162798521,
      0.09241446484772321,
      0.09112536495218769,
      0.08985383737435768,
      0.08859964089505032,
      0.0873625378319237,
      0.08614229371283635,
      0.08493867731988322,
      0.08375146073557428,
      0.08258041917779649,
      0.08142533100816896,
      0.08028597772581526,
      0.07916214384562086,
      0.07805361682836334,
      0.07696018712622354,
      0.07588164810561626,
      0.0748177960248688,
      0.07376842996214344,
      0.07273335170553193,
      0.07171236592373892,
      0.07070527984106792,
      0.06971190347870393,
      0.06873204945731352,
      0.06776553295570063,
      0.06681217176811298,
      0.06587178614168408,
      0.06494419884896918,
      0.06402923501219432,
      0.06312672229540278,
      0.062236490705272554,
      0.06135837262986486,
      0.06049220272044006,
      0.05963781775014287,
      0.058795056928977664,
      0.05796376167096752,
      0.05714377557684982,
      0.05633494434812268,
      0.05553711585222427,
      0.05475013999237277,
      0.05397386875022773,
      0.0532081561411724,
      0.05245285830103235,
      0.051707833157967634,
      0.05097294069947475,
      0.05024804290666307,
      0.04953300345466787,
      0.0488276879185792,
      0.04813196387843167,
      0.04744570068509575,
      0.04676876938881589,
      0.046101042811076215,
      0.045442395613438324,
      0.04479270408390339,
      0.04415184622553909,
      0.04351970176555172,
      0.04289615200867699,
      0.042281080037075695,
      0.04167437041762614,
      0.04107590917573391,
      0.04048558393991358,
      0.03990328402589125,
      0.03932890027271073,
      0.03876232481773562,
      0.03820345136358385,
      0.037652175110341496,
      0.03710839267155177,
      0.0365720021100337,
      0.03604290281071213,
      0.035520995444422505,
      0.0350061821656131,
      0.034498366510511205,
      0.03399745324643597,
      0.03350334841366539,
      0.03301595944842828,
      0.032535194942311184,
      0.03206096472426744,
      0.031593179953775426,
      0.031131752967773343,
      0.030676597256314296,
      0.03022762753472187,
      0.02978475969345537,
      0.029347910739877706,
      0.028916998750490544,
      0.028491942925806774,
      0.02807266374225541,
      0.027659082583805235,
      0.027251122007154058,
      0.026848705578715507,
      0.02645175784297329,
      0.02606020445327084,
      0.025673972008349255,
      0.025292988197592597,
      0.024917181658161463,
      0.024546481956442514,
      0.02418081968773624,
      0.02382012634452713,
      0.02346433446173807,
      0.02311337733373207,
      0.022767190609928982,
      0.02242571334128678,
      0.022088884706896343,
      0.021756643579129997,
      0.021428928952330287,
      0.021105680136195265,
      0.02078683695704542,
      0.020472339833766083,
      0.020162129811646324,
      0.019856148598426465,
      0.019554338692338125,
      0.019256643213847777,
      0.01896300620465439,
      0.01867337238905394,
      0.0183876871801353,
      0.01810589674573153,
      0.017827947969207395,
      0.017553788438325744,
      0.01728336651367992,
      0.0170166311449069,
      0.016753532205322743,
      0.016494020047132112,
      0.016238045822172625,
      0.01598555478508158,
      0.015736478672300793,
      0.015490750479371044,
      0.015248310392018374,
      0.015009104075307098,
      0.01477308130336642,
      0.014540194852861451,
      0.014310399745475185,
      0.014083652651739774,
      0.01385991157504035,
      0.013639135654977682,
      0.013421284701913134,
      0.01320631944643672,
      0.012994201334595383,
      0.012784892446522454,
      0.01257835548137134,
      0.012374553528301066,
      0.012173450271510722,
      0.011975009898698723,
      0.011779197138828731,
      0.011585977155385698,
      0.011395315632548152,
      0.011207178608614355,
      0.011021532667191553,
      0.010838344857118102,
      0.010657582607687685,
      0.01047921375339622,
      0.01030320663686068,
      0.010129529939940712,
      0.009958152834693545,
      0.009789044874852765,
      0.009622176003717347,
      0.009457516601597292,
      0.00929503740771741,
      0.00913470955173921,
      0.00897650452323845,
      0.008820394180596483,
      0.008666350786903223,
      0.008514347066528202,
      0.008364355970719562,
      0.008216350838911297,
      0.008070305344763893,
      0.007926193545577274,
      0.007783989831390884,
      0.007643668977188175,
      0.007505206050207604,
      0.007368576318349375,
      0.007233755630454784,
      0.007100720054131004,
      0.006969445896331456,
      0.006839909845934978,
      0.0067120888757053,
      0.0065859603173786035,
      0.0064615017599232985,
      0.006338691063386562,
      0.006217506488365312,
      0.006097926419631477,
      0.005979929618646518,
      0.005863495101969383,
      0.005748602154216771,
      0.0056352303869434,
      0.005523359677344562,
      0.005412970171955285,
      0.005304042284671154,
      0.005196556678588923,
      0.005090494240155911,
      0.004985836035896524,
      0.004882563479794735,
      0.00478065826675633,
      0.004680102243559651,
      0.004580877547301637,
      0.004482966599079525,
      0.004386352041351996,
      0.0042910167141887254,
      0.004196943715398366,
      0.004104116276649942,
      0.004012517831376333,
      0.003922132153303301,
      0.00383294319081994,
      0.0037449351440935986,
      0.0036580923903080575,
      0.0035723994858299244,
      0.0034878411502457444,
      0.0034044023144867543,
      0.0033220681825026437,
      0.003240824128543003,
      0.0031606557608265533,
      0.0030815488967568506,
      0.003003489398999358,
      0.0029264633936757173
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567326624858868,
      10.338697786727089,
      10.102981502150845,
      9.8629744560323,
      9.620982066455484,
      9.37902772956179,
      9.138850848667232,
      8.90187764873847,
      8.669265203515218,
      8.441897629537506,
      8.220386371060044,
      8.005083728995643,
      7.796108045071663,
      7.593377778300343,
      7.396650214564412,
      7.205558655801132,
      7.019649459401802,
      6.838415646756354,
      6.661327886011246,
      6.487860123918928,
      6.317507314295467,
      6.1498049531320405,
      5.984345748381895,
      5.820786323458696,
      5.658853965178163,
      5.498350043810044,
      5.339147658382325,
      5.181195190509364,
      5.024513800556918,
      4.869200098607517,
      4.715409992175453,
      4.563351266438836,
      4.413282818746345,
      4.265513295390517,
      4.120393124622608,
      3.9783198187378717,
      3.8397103130022128,
      3.704966840968338,
      3.5744654542957663,
      3.448546031243079,
      3.327504182393286,
      3.2115853093522944,
      3.1009811756456864,
      2.9958295305962883,
      2.8962084343561845,
      2.802135676285573,
      2.7135721837434508,
      2.6304133612459664,
      2.552515450772149,
      2.479680063458651,
      2.4116638520102747,
      2.3482084601201163,
      2.2890249877940314,
      2.2338009004787365,
      2.1821945740975885,
      2.133818476766393,
      2.088294867125852,
      2.045280584718729,
      2.0044468989460555,
      1.9654931892996261,
      1.9281710076194511,
      1.8922872681143887,
      1.8576900880966933,
      1.8242554946237335,
      1.7918760530184943,
      1.760461264925336,
      1.7299383898168736,
      1.7002477279584982,
      1.6713392511031373,
      1.6431699732432579,
      1.6156998986664959,
      1.5888926371732899,
      1.562716592557661,
      1.5371437976092839,
      1.512149092156869,
      1.4877095359775463,
      1.4638039855404312,
      1.440412784592998,
      1.4175175380658898,
      1.3951009408098112,
      1.3731467497094358,
      1.3516403194645215,
      1.3305679286317174,
      1.3099166598716454,
      1.2896743225194445,
      1.269828934924204,
      1.2503687924437756,
      1.2312825262203937,
      1.2125591369117696,
      1.1941880101088413,
      1.1761589208168013,
      1.1584620305926456,
      1.141087879236594,
      1.1240277470872748,
      1.1072739976171206,
      1.0908194804739615,
      1.0746572172271032,
      1.0587801347378245,
      1.0431811812654477,
      1.0278534019596994,
      1.0127899866242327,
      0.9979849279627944,
      0.9834332831533503,
      0.9691299389746383,
      0.9550695733284169,
      0.9412467850290055,
      0.9276561807984101,
      0.9142924313709232,
      0.9011503070361039,
      0.8882247004187702,
      0.8755109038689014,
      0.8630056810013615,
      0.8507059863146689,
      0.8386083225775259,
      0.826708933456503,
      0.815003931484448,
      0.8034893821924989,
      0.7921613600728115,
      0.7810159845473382,
      0.7700494422941213,
      0.7592580014610242,
      0.7486380198665009,
      0.7381859487624584,
      0.7278983344586583,
      0.7177718175811245,
      0.7078031322989584,
      0.697989104060259,
      0.6883266468904082,
      0.6788127609210352,
      0.669444529849372,
      0.6602190859774569,
      0.6511335977113676,
      0.6421853276024068,
      0.6333712056198605,
      0.6246879561692268,
      0.6161326089793832,
      0.6077024374039997,
      0.5993948991988542,
      0.5912075952486896,
      0.583138241134225,
      0.5751846468965904,
      0.567344702489693,
      0.5596163669629443,
      0.5519976038677084,
      0.5444864047560048,
      0.5370808452777278,
      0.5297790710234709,
      0.5225792880694389,
      0.5154797555060547,
      0.5084787805500933,
      0.5015747143794417,
      0.4947659492233184,
      0.48805091581843457,
      0.4814280816151694,
      0.47489594910170785,
      0.46845305427547007,
      0.46209796531676434,
      0.45582928159596214,
      0.44964563271369234,
      0.4435456774007492,
      0.4375281026881614,
      0.4315916228687308,
      0.42573497868574894,
      0.41995693677757506,
      0.4142562886705891,
      0.4086318502130634,
      0.4030824609958964,
      0.39760698343259965,
      0.39220430236565934,
      0.38687332426142895,
      0.3816129767083138,
      0.3764222079656163,
      0.37129998613386384,
      0.3662452987875732,
      0.361257002943916,
      0.356333802283577,
      0.35147450188821827,
      0.34667800798812604,
      0.34194330120608457,
      0.3372694182296101,
      0.33265543851604207,
      0.32810047575673923,
      0.32360367146454544,
      0.31916419060044116,
      0.3147812184755069,
      0.3104539583853273,
      0.30618162999553344,
      0.30196351423826145,
      0.2977990760568176,
      0.2936879664490585,
      0.28963003016805106,
      0.2856253538764876,
      0.28167383402023,
      0.2777751515002588,
      0.2739288519825933,
      0.27013443752926397,
      0.2663914665089365,
      0.26269972164926303,
      0.25905895913652116,
      0.25546877205139573,
      0.25192864754527916,
      0.24843800540988115,
      0.2449962237691588,
      0.24160265634128725,
      0.23825664407171518,
      0.23495752293746164,
      0.23170462912352371,
      0.22849730229128767,
      0.22533488807242663,
      0.22221673935280298,
      0.21914221019875244,
      0.2161105942347516,
      0.21312117504313013,
      0.21017327987598997,
      0.20726626846861693,
      0.20439952510474382,
      0.2015724536837896,
      0.19878447407957975,
      0.196035019638069,
      0.1933235356268391,
      0.19064947780452848,
      0.18801231188132653,
      0.18541151254574417,
      0.18284656318728987,
      0.18031695553801266,
      0.17782218932164706,
      0.1753617719853753,
      0.17293521865359587,
      0.17054205193589503,
      0.16818180149870668,
      0.1658540041891062,
      0.16355820379500016,
      0.16129395101423397,
      0.15906080314269527,
      0.15685832405965452,
      0.15468608411599657,
      0.1525436601480827,
      0.15043063519148006,
      0.14834659834528618,
      0.1462911449140753,
      0.14426387598822205,
      0.1422643985244963,
      0.14029232528430619,
      0.13834727457221205,
      0.13642887028342357,
      0.13453674189776688,
      0.1326705241913626,
      0.1308298572821438,
      0.12901438650056288,
      0.1272237621171184,
      0.12545763960052592,
      0.12371567943983533,
      0.12199754693154582,
      0.12030291209629332,
      0.11863144971833328,
      0.11698283934289833,
      0.11535676504709111,
      0.11375291534615302,
      0.11217098322207973,
      0.11061066608401154,
      0.10907166560322865,
      0.10755368761931994,
      0.10605644230802308,
      0.10457964390557917,
      0.10312301059287195,
      0.10168626461529866,
      0.10026913213633405,
      0.09887134321911543,
      0.09749263176373896,
      0.09613273522849458,
      0.09479139492960023,
      0.09346835569881688,
      0.09216336606213273,
      0.09087617807481321,
      0.08960654727076267,
      0.08835423248363884,
      0.08711899597896725,
      0.0859006034003653,
      0.0846988236710715,
      0.08351342885568055,
      0.08234419431632677,
      0.08119089850819275,
      0.08005332301830047,
      0.07893125246609776,
      0.07782447433827369,
      0.07673277913944056,
      0.07565596033085151,
      0.0745938142034133,
      0.07354613987867706,
      0.07251273935825746,
      0.07149341733235591,
      0.07048798108387769,
      0.06949624070752218,
      0.06851800883310265,
      0.06755310074327293,
      0.0666013342656304,
      0.06566252975327806,
      0.0647365100720178,
      0.06382310050094232,
      0.06292212876940026,
      0.06203342495990241,
      0.061156821410145196,
      0.06029215289050348,
      0.0594392563643808,
      0.058597971103516666,
      0.057768138595324814,
      0.056949602535344195,
      0.05614220866196491,
      0.0553458048600878,
      0.054560241164359924,
      0.05378536968152897,
      0.05302104445068998,
      0.05226712160331904,
      0.05152345927030774,
      0.05078991750628375,
      0.05006635825602056,
      0.049352645385219954,
      0.04864864461372541,
      0.04795422359876704,
      0.04726925166311326,
      0.04659359996823971,
      0.04592714145289141,
      0.045269750803762804,
      0.04462130445528299,
      0.04398168054810483,
      0.043350758833709535,
      0.0427284207062671,
      0.04211454923090015,
      0.04150902896866856,
      0.04091174617280532,
      0.04032258857155734,
      0.039741445519741604,
      0.03916820779325314,
      0.03860276785084623,
      0.03804501941483827,
      0.03749485773777718,
      0.036952179448352385,
      0.036416882638219156,
      0.03588886674126842,
      0.03536803269170324,
      0.034854282674194256,
      0.034347520311709685,
      0.03384765039090864,
      0.033354579088738644,
      0.03286821389856935,
      0.03238846348544075,
      0.03191523775857396,
      0.03144844796821799,
      0.030988006428687268,
      0.030533826805752756,
      0.030085823906418695,
      0.029643913546355687,
      0.029208012822093902,
      0.028778040063678584,
      0.028353914550307623,
      0.02793555666876972,
      0.027522887875548973,
      0.02711583073948491,
      0.02671430899522556,
      0.026318247384932412,
      0.025927571560959133,
      0.025542208170311602,
      0.025162084949465164,
      0.02478713054953024,
      0.024417274657764543,
      0.02405244797061062,
      0.023692582024158814,
      0.02333760943500805,
      0.022987463611096624,
      0.02264207973097195,
      0.02230139679948094,
      0.02196535417727208,
      0.021633890949424823,
      0.02130694633729838,
      0.020984459733908615,
      0.0206663711615713,
      0.020352621046391565,
      0.020043150449324858,
      0.019737901280587177,
      0.01943681605908242,
      0.019139838094627,
      0.01884691145008087,
      0.018557980862206804,
      0.01827299169669924,
      0.017991890268658117,
      0.017714623561997545,
      0.017441139263543102,
      0.017171385786835226,
      0.016905312203524252,
      0.016642868247414955,
      0.01638400446719809,
      0.01612867200087765,
      0.015876822632158668,
      0.015628408811313013,
      0.015383378617582091,
      0.01514166831979219,
      0.014903218248039935,
      0.014667974325235613,
      0.01443588655150569,
      0.01420690508767356,
      0.0139809794230536,
      0.013758062197826777,
      0.013538108800771848,
      0.013321076838126552,
      0.013106925452057935,
      0.012895614963557683,
      0.012687106519335984,
      0.01248136244861761,
      0.012278345580810151,
      0.012078019392635933,
      0.011880347998183523,
      0.011685296059114253,
      0.011492828792488599,
      0.011302911783280084,
      0.011115511288285005,
      0.01093059389384615,
      0.01074812667743596,
      0.010568077115097779,
      0.010390413089705557,
      0.010215103051364152,
      0.010042115816219985,
      0.00987142067970965,
      0.009702987232367314,
      0.00953678546333478,
      0.009372785795076862,
      0.00921095908182263,
      0.009051276527119697,
      0.008893709672505948,
      0.00873823039402965,
      0.008584811141837874,
      0.008433424615615977,
      0.008284043886618301,
      0.008136642387332796,
      0.007991193858108864,
      0.007847672422212688,
      0.0077060524716093945,
      0.007566308884428058,
      0.007428416850137472,
      0.007292351823013803,
      0.00715808956583239,
      0.007025606111803138,
      0.006894877963311086,
      0.0067658818978666895,
      0.006638594965948654,
      0.0065129945283072775,
      0.006389058224209345,
      0.006266764023682612,
      0.0061460901028990095,
      0.006027014936540458,
      0.005909517429740174,
      0.0057935766887902244,
      0.005679172034798914,
      0.00556628314495592,
      0.005454890036404587,
      0.005344972803442703,
      0.005236511876448256,
      0.005129488008726562,
      0.00502388206090551,
      0.0049196752567569405,
      0.0048168491729458085,
      0.004715385425067399,
      0.004615266059855157,
      0.004516473192045136,
      0.00441898916968729,
      0.004322796765466051,
      0.004227878791002299,
      0.004134218417555107,
      0.004041799001807718,
      0.003950604020505843,
      0.003860617285535787,
      0.0037718228611398775,
      0.0036842048806340903,
      0.0035977476940533587,
      0.0035124359719883314,
      0.003428254550098683,
      0.00334518844585633,
      0.003263222933382598,
      0.0031823433392922547,
      0.0031025353095366134,
      0.003023784689356078,
      0.0029460774423220545,
      0.002869399760688055
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567318659976422,
      10.338671385630885,
      10.10292876414593,
      9.86289021959454,
      9.62086287550717,
      9.378871384654602,
      9.138656423624452,
      8.901644793068904,
      8.668994077201905,
      8.441588710174363,
      8.220040287939183,
      8.004701132129316,
      7.795689509881792,
      7.5929237508242515,
      7.396160978424487,
      7.205034326683849,
      7.019090007246496,
      6.837820827412738,
      6.660697411540693,
      6.4871938541178675,
      6.316805208448913,
      6.149067108895408,
      5.983572611828324,
      5.819978680212288,
      5.6580128955052515,
      5.497476972963365,
      5.3382444049797435,
      5.180264034163914,
      5.023557480273271,
      4.868221715258946,
      4.714412932197084,
      4.562339531004742,
      4.412260858840492,
      4.264485870988567,
      4.119365553159108,
      3.9772980345627076,
      3.838700056040759,
      3.7039735564512704,
      3.5734941999882084,
      3.447601393853407,
      3.32659021028013,
      3.210705463884521,
      3.1001382951986716,
      2.995025816449553,
      2.895445266990631,
      2.8014137590541157,
      2.7128912260574394,
      2.6297720496050925,
      2.551911804139643,
      2.4791113495677064,
      2.411127266536531,
      2.3477009893635534,
      2.2885433776168704,
      2.2333416778431294,
      2.181753771872369,
      2.1333920199071117,
      2.0878791477515026,
      2.044872270907081,
      2.0040428434219937,
      1.965090832178163,
      1.9277684528347498,
      1.8918831216300318,
      1.8572833110386524,
      1.8238452466875295,
      1.7914616248598076,
      1.760042184252725,
      1.7295143539037214,
      1.699818555197125,
      1.6709048465391116,
      1.642730315900131,
      1.6152550292438537,
      1.588442618128927,
      1.5622615001075513,
      1.5366837175812535,
      1.5116841166510633,
      1.4872397608865016,
      1.4633295082673479,
      1.439933702780503,
      1.4170339491294783,
      1.3946129414083246,
      1.3726544464417034,
      1.3511438336089712,
      1.3300673715805127,
      1.3094121666345686,
      1.28916602592062,
      1.2693169516866663,
      1.2498532278026981,
      1.2307634773785443,
      1.2120366946240702,
      1.1936622603784226,
      1.1756299461415134,
      1.1579299105576628,
      1.140552691266383,
      1.1234895968106364,
      1.1067329992280284,
      1.0902757462861685,
      1.0741108456042054,
      1.058231213835017,
      1.0426297920470236,
      1.0272996200381115,
      1.0122338837363278,
      0.9974267362395753,
      0.9828732500464736,
      0.9685682509513165,
      0.9545063744715044,
      0.9406821906730051,
      0.9270902862227026,
      0.9137253175487633,
      0.90058204548459,
      0.8876553557329538,
      0.8749406690375836,
      0.8624349336355835,
      0.850134991781874,
      0.8380372710658076,
      0.8261379640102752,
      0.8144331483300113,
      0.8029188660364308,
      0.7915911755667573,
      0.7804461851071212,
      0.7694800739134996,
      0.7586891051462641,
      0.7480696329786671,
      0.7376181058811796,
      0.7273310683291893,
      0.7172051600202831,
      0.7072371139176306,
      0.6974237545826423,
      0.6877619955625626,
      0.6782488365007716,
      0.6688813605346966,
      0.6596566972119291,
      0.6505720142458136,
      0.6416245746796758,
      0.6328113421819069,
      0.6241290447598866,
      0.6155746999582478,
      0.6071455726724311,
      0.5988391149498046,
      0.5906529236994601,
      0.5825847115520756,
      0.5746322863778446,
      0.5667935366236494,
      0.5590664204828372,
      0.5514489574599838,
      0.5439391671164958,
      0.5365350949717383,
      0.5292348666084952,
      0.5220366740704557,
      0.5149387670666105,
      0.5079394459853862,
      0.5010370573697547,
      0.4942299901969058,
      0.48751667311407954,
      0.4808955719702675,
      0.4743651880019821,
      0.4679240562183384,
      0.46157074416747546,
      0.45530385070721824,
      0.44912200488573417,
      0.44302386491032386,
      0.4370081173618734,
      0.4310734759971234,
      0.42521868141408625,
      0.4194424999572701,
      0.4137437227050213,
      0.4081211652790665,
      0.4025736669291194,
      0.397100089836687,
      0.39169931841102057,
      0.38637025888606136,
      0.3811118385843859,
      0.37592300530880535,
      0.37080272686375204,
      0.3657499906066818,
      0.36076363135444595,
      0.3558423504251843,
      0.3509849608151927,
      0.346190374102671,
      0.34145757450930975,
      0.3367856009003231,
      0.33217353446141124,
      0.32762048989939546,
      0.32312560927224254,
      0.31868805769130254,
      0.31430702050125364,
      0.3099817010391798,
      0.30571131892878617,
      0.3014951855415094,
      0.29733282062620364,
      0.29322393781483735,
      0.2891684584402956,
      0.2851664430954604,
      0.2812177171158034,
      0.2773219132949753,
      0.2734785463911312,
      0.26968711231133885,
      0.2659471727992209,
      0.262258518819522,
      0.2586208812284155,
      0.2550338360433459,
      0.25149685911853514,
      0.2480093623673331,
      0.2445707184808419,
      0.241180277773235,
      0.23783737882027176,
      0.2345413559473469,
      0.2312915442322038,
      0.22808728266569314,
      0.22492791638655174,
      0.2218127978091979,
      0.21874127540947397,
      0.21571263511234734,
      0.21272616505627193,
      0.20978119551362812,
      0.20687708808457514,
      0.20401322845493686,
      0.20118902145439982,
      0.1984038876212487,
      0.19565726075189424,
      0.19294858624940778,
      0.1902773202390631,
      0.18764292845638092,
      0.18504488573119812,
      0.1824826755187888,
      0.17995578952802704,
      0.1774637275343968,
      0.17500599714941695,
      0.17258211353249858,
      0.1701915992169141,
      0.16783398392216953,
      0.16550880456256845,
      0.16321560493039455,
      0.1609539355753299,
      0.1587233539491746,
      0.1565234240092369,
      0.15435371612543178,
      0.15221380704255374,
      0.1501032798981899,
      0.1480217238959739,
      0.14596873434552252,
      0.14394391229960005,
      0.14194686476741084,
      0.13997720450598594,
      0.13803455001922632,
      0.1361185252238681,
      0.13422875951938162,
      0.1323648878485995,
      0.13052655025357263,
      0.12871339202550452,
      0.1269250635653926,
      0.1251612204002402,
      0.1234215229732873,
      0.12170563662151462,
      0.12001323156824897,
      0.11834398268963024,
      0.11669756940380724,
      0.11507367577175757,
      0.11347199051758577,
      0.11189220666321618,
      0.11033402164790866,
      0.10879713727092907,
      0.10728125950247161,
      0.10578609836569729,
      0.10431136818170221,
      0.10285678726915443,
      0.10142207791839344,
      0.100006966346531,
      0.09861118264076801,
      0.09723446072105944,
      0.09587653826487126,
      0.09453715652390292,
      0.0932160605157906,
      0.09191299868788952,
      0.09062772318460681,
      0.0893599896120211,
      0.08810955697408639,
      0.08687618763945568,
      0.08565964728186215,
      0.08445970488635873,
      0.08327613268773269,
      0.0821087058942164,
      0.08095720309971303,
      0.07982140598241735,
      0.07870109914842031,
      0.0775960702590043,
      0.0765061098638036,
      0.07543101146033668,
      0.07437057151670495,
      0.0733245892630979,
      0.07229286666843471,
      0.07127520846161724,
      0.07027142210594273,
      0.0692813177132206,
      0.06830470813298278,
      0.06734140859693301,
      0.06639123708474301,
      0.06545401394573737,
      0.06452956214040387,
      0.06361770702994743,
      0.06271827640406662,
      0.06183110041243765,
      0.060956011495644995,
      0.06009284446763835,
      0.059241436419406816,
      0.0584016266816912,
      0.05757325679657605,
      0.056756170522369115,
      0.055950213700614676,
      0.05515523430597577,
      0.05437108241789629,
      0.053597610254478935,
      0.05283467198846276,
      0.0520821238918928,
      0.051339824122918216,
      0.05060763286315466,
      0.049885412030026534,
      0.04917302557471072,
      0.04847033934240903,
      0.0477772210256564,
      0.04709354013111654,
      0.04641916779078599,
      0.045753977050487435,
      0.04509784264354514,
      0.04445064110833521,
      0.043812250616982885,
      0.043182550997664666,
      0.04256142374114392,
      0.041948752035875926,
      0.04134442052017364,
      0.04074831554241884,
      0.04016032494446779,
      0.03958033812733264,
      0.039008245954324304,
      0.038443940907950766,
      0.03788731685851967,
      0.03733826912451574,
      0.03679669437612471,
      0.0362624907920417,
      0.0357355579646614,
      0.03521579672770566,
      0.03470310944378091,
      0.03419739976010925,
      0.03369857260460276,
      0.03320653416140496,
      0.03272119196270345,
      0.03224245479797057,
      0.03177023281586863,
      0.03130443715404895,
      0.030844980256969613,
      0.030391775861319165,
      0.02994473880518451,
      0.0295037850547098,
      0.029068831827363483,
      0.028639797436829376,
      0.028216601250404566,
      0.02779916372677631,
      0.02738740645488267,
      0.026981252120707292,
      0.026580624459301372,
      0.026185448198410094,
      0.02579564910730971,
      0.025411153992670604,
      0.025031890615744963,
      0.024657787734105985,
      0.024288775039159823,
      0.02392478325624458,
      0.02356574405147047,
      0.02321158999973275,
      0.022862254594117302,
      0.02251767284429649,
      0.022177783407379043,
      0.02184252601942892,
      0.021511839917913004,
      0.02118566448461861,
      0.020863939388294207,
      0.02054660464732968,
      0.020233600762052353,
      0.019924868958823477,
      0.019620351118622693,
      0.0193199898929913,
      0.01902372867017015,
      0.018731511524920544,
      0.018443283222117513,
      0.01815898935652196,
      0.017878576209339938,
      0.017601990792324246,
      0.01732918093265279,
      0.017060095062079367,
      0.01679468230739054,
      0.01653289258360006,
      0.016274676423068724,
      0.01601998494060998,
      0.0157687700680255,
      0.015520984301963171,
      0.01527658082950317,
      0.015035513503537445,
      0.014797733603760032,
      0.014563180312062649,
      0.014331794584538019,
      0.014103523313100353,
      0.013878317476180303,
      0.01365613105616139,
      0.013436920241891932,
      0.013220643040792167,
      0.013007258668969172,
      0.012796726322987464,
      0.012589002366862808,
      0.012384044270666994,
      0.012181811734275483,
      0.01198226612226873,
      0.011785370083302306,
      0.01159108721931007,
      0.01139938210182083,
      0.011210220012067368,
      0.011023566817424503,
      0.010839388977653673,
      0.010657653445784981,
      0.01047832770384549,
      0.010301379785665669,
      0.010126778070316925,
      0.009954491380650155,
      0.009784489071079813,
      0.009616740703422968,
      0.009451216443094773,
      0.009287886808252188,
      0.00912672268771457,
      0.0089676954621781,
      0.008810776688283466,
      0.008655938394141308,
      0.008503153001392176,
      0.00835239335687341,
      0.008203632549805301,
      0.00805684401600185,
      0.007912001669152038,
      0.00776907967101301,
      0.0076280526291757356,
      0.007488895395578103,
      0.0073515831077435095,
      0.007216091294727447,
      0.0070823959274080505,
      0.006950473120579355,
      0.006820299370162697,
      0.0066918515053174055,
      0.006565106572013835,
      0.00644004203571566,
      0.0063166356738036345,
      0.006194865564669203,
      0.006074709944311864,
      0.005956147388346286,
      0.005839156702221875,
      0.005723717067210074,
      0.005609807939498691,
      0.005497409039515599,
      0.005386500367788714,
      0.005277062209191008,
      0.005169074966419029,
      0.005062519337511786,
      0.004957376443802758,
      0.004853627539275504,
      0.004751254159851305,
      0.004650238101584707,
      0.004550561343098071,
      0.004452206095543404,
      0.004355154809102605,
      0.004259390307725615,
      0.004164895448115281,
      0.004071653351471337,
      0.003979647528043286,
      0.0038888615578688323,
      0.0037992791791756873,
      0.0037108844343246884,
      0.003623661587975171,
      0.0035375951609628352,
      0.0034526698440845095,
      0.003368870475986548,
      0.0032861821936253943,
      0.0032045902022917877,
      0.0031240799209232614,
      0.0030446370331578885,
      0.00296624739923842,
      0.002888896987784839,
      0.0028125721069451764
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567310694686942,
      10.338644974567949,
      10.102875988691343,
      9.862805897780268,
      9.62074353198991,
      9.378714804979598,
      9.138461666749,
      8.90141149507725,
      8.668722388650146,
      8.441279100329202,
      8.219693376885763,
      8.004317564579317,
      7.795269857273666,
      7.592468457346984,
      7.395670326235846,
      7.204508431345241,
      7.018528838421415,
      6.837224140861048,
      6.660064920641491,
      6.486525419070625,
      6.3161007882536895,
      6.148326822788368,
      5.982796922778216,
      5.819168370845384,
      5.657169042988515,
      5.496601001760256,
      5.337338133912505,
      5.179329744534844,
      5.022597913589697,
      4.867239976204812,
      4.713412410519527,
      4.561324231559777,
      4.411235236341322,
      4.263454691643215,
      4.118334140749469,
      3.9762723326441294,
      3.8376858152306648,
      3.702976234080922,
      3.572518864291405,
      3.4466526416146994,
      3.325672100189972,
      3.2098214671462983,
      3.0992912585977614,
      2.994217949395526,
      2.89467795802298,
      2.800687664922307,
      2.7122060219935924,
      2.629126443511212,
      2.5513038345637034,
      2.478538304196194,
      2.4105863594020263,
      2.3471892119966817,
      2.288057483380496,
      2.232878210102166,
      2.1813087772923185,
      2.132961435898752,
      2.0874593760471836,
      2.0444599873987843,
      2.0036348952932843,
      1.9646846580433133,
      1.9273621627578659,
      1.8914753250294198,
      1.856872970457192,
      1.8234315219421056,
      1.7910438064802132,
      1.7596197986384745,
      1.729087096375097,
      1.6993862422914394,
      1.670467381573625,
      1.642287675866517,
      1.614807252532792,
      1.5879897639762799,
      1.5618036426528592,
      1.5362209403705978,
      1.5112165098273527,
      1.4867674178648955,
      1.4628525241335149,
      1.4394521743086133,
      1.416547972755836,
      1.3941226126676252,
      1.3721598705773368,
      1.350645131090385,
      1.3295646598073891,
      1.3089055827808165,
      1.2886556974336516,
      1.2688029916389318,
      1.2493357385983554,
      1.2302425535570989,
      1.2115124250638234,
      1.1931347297972925,
      1.175099235588949,
      1.157396098218482,
      1.1400158530162676,
      1.1229498369947735,
      1.1061904315874496,
      1.0897304821972198,
      1.0735629825746265,
      1.0576808396069088,
      1.042076986857789,
      1.0267444588210242,
      1.0116764376013978,
      0.9968672369011686,
      0.9823119439919904,
      0.9680053236997704,
      0.9539419696862017,
      0.940116423038434,
      0.9265232503445818,
      0.9131570943171345,
      0.9000127060118154,
      0.8870849643492478,
      0.8743695194294808,
      0.8618633678561622,
      0.8495632515846745,
      0.8374655304675253,
      0.8255663510014023,
      0.8138617597524901,
      0.8023477773897598,
      0.7910204478008717,
      0.7798758691802703,
      0.7689102141430456,
      0.7581197411321985,
      0.7475008008419809,
      0.7370498398129494,
      0.7267634007998326,
      0.7166381220249796,
      0.7066707355119829,
      0.6968580651254428,
      0.6871970237936671,
      0.6776846106072867,
      0.6683179082307514,
      0.6590940438237178,
      0.6500101844431551,
      0.6410635936105413,
      0.6322512687821885,
      0.6235699412495194,
      0.6150166164110379,
      0.6065885510218003,
      0.5982831910532826,
      0.5900981292995067,
      0.5820310756057632,
      0.5740798358616022,
      0.5662422969931495,
      0.5585164160449244,
      0.5509002125214162,
      0.5433917617431447,
      0.5359891364009898,
      0.5286904322443708,
      0.5214938212661119,
      0.5143975394975119,
      0.5073998780117241,
      0.5004991768610717,
      0.4936938205656637,
      0.4869822345143496,
      0.4803628820973868,
      0.473834262929228,
      0.4673949108406928,
      0.4610433924833376,
      0.45477830596406377,
      0.44859827974337235,
      0.4425019717245137,
      0.4364880678761597,
      0.43055528166414825,
      0.4247023530493646,
      0.4189280480220385,
      0.4132311576342013,
      0.4076104969905123,
      0.40206490509016324,
      0.3965932438709351,
      0.39119439734788225,
      0.38586727130616294,
      0.3806107927886775,
      0.37542390935564846,
      0.3703055885758982,
      0.36525481737052934,
      0.36027040874616223,
      0.3553510617435148,
      0.35049559718108697,
      0.3457029318420769,
      0.34097205342908327,
      0.33630200321007664,
      0.3316918637646747,
      0.32714075081002586,
      0.32264780695569406,
      0.3182121977105774,
      0.31383310849633717,
      0.30950974263321396,
      0.305241319542461,
      0.3010271848952261,
      0.29686694519098744,
      0.29276034833648545,
      0.28870738251887507,
      0.2847080685021751,
      0.2807621655685081,
      0.27686926245273275,
      0.27302884537325806,
      0.2692404054146986,
      0.2655035087987851,
      0.2618179554908728,
      0.258183451379897,
      0.2545995558801958,
      0.25106573357331935,
      0.2475813887700028,
      0.2441458891553538,
      0.24075858137892095,
      0.23741880167748503,
      0.23412588279235652,
      0.23087915881164628,
      0.22767796800719425,
      0.2245216549250863,
      0.22140957178903176,
      0.21834106135779902,
      0.21531540193372065,
      0.2123318860590656,
      0.20938984700053598,
      0.20648864838711647,
      0.20362767727959974,
      0.20080633938517847,
      0.19802405584048768,
      0.195280260876762,
      0.19257440020643363,
      0.1899059300500018,
      0.1872743163413169,
      0.18467903403290664,
      0.18211956669028848,
      0.17959540611923597,
      0.177106052063936,
      0.17465101210235054,
      0.17222980150976097,
      0.16984194279792064,
      0.1674869657363057,
      0.1651644072837375,
      0.162873811245591,
      0.16061472829216172,
      0.1583867158105464,
      0.15618933779343191,
      0.15402216471351768,
      0.15188477337118333,
      0.149776746822938,
      0.1476976742252836,
      0.1456471509184509,
      0.1436247780947243,
      0.14163016280837842,
      0.1396629178810319,
      0.13772266174134964,
      0.13580901843371593,
      0.13392161733178,
      0.1320600933640129,
      0.13022408673441516,
      0.12841324271629706,
      0.1266272118624064,
      0.12486564963936096,
      0.1231282165611041,
      0.12141457803871546,
      0.11972440423318145,
      0.11805737010102878,
      0.11641315521338089,
      0.11479144369189317,
      0.11319192419699858,
      0.11161428995011081,
      0.1100582384972578,
      0.1085234715693132,
      0.10700969506403754,
      0.10551661911201331,
      0.10404395820085129,
      0.1025914307926866,
      0.10115875910104087,
      0.09974566942111482,
      0.09835189195841802,
      0.09697716067716881,
      0.09562121320592847,
      0.09428379096573504,
      0.09296463903124609,
      0.09166350594102449,
      0.09038014388864132,
      0.08911430849377727,
      0.08786575885265172,
      0.08663425746047689,
      0.08541957001238532,
      0.08422146553668901,
      0.08303971632053145,
      0.08187409778969394,
      0.08072438855554252,
      0.07959037031098683,
      0.07847182778831004,
      0.07736854871835529,
      0.07628032371143124,
      0.07520694638712656,
      0.0741482131967876,
      0.07310392338042228,
      0.07207387901312308,
      0.07105788496624962,
      0.07005574879001057,
      0.06906728070089733,
      0.06809229349963776,
      0.06713060259699488,
      0.06618202598564953,
      0.06524638413552776,
      0.06432350014332007,
      0.06341319939862153,
      0.0625153097673878,
      0.061629661425238465,
      0.06075608699510195,
      0.05989442138217142,
      0.0590445016521863,
      0.05820616728082072,
      0.05737925986769748,
      0.056563623271976324,
      0.05575910344478135,
      0.05496554839974739,
      0.05418280835035476,
      0.053410735601081095,
      0.0526491842776884,
      0.05189801069143234,
      0.05115707323064118,
      0.05042623204407045,
      0.04970534928453064,
      0.04899428897486324,
      0.048292916989427566,
      0.0476011010107942,
      0.04691871051205667,
      0.046245616943497055,
      0.045581693436789604,
      0.04492681476362872,
      0.0442808575139059,
      0.04364370000691081,
      0.04301522213963441,
      0.042395305476049805,
      0.041783833193510735,
      0.041180690149733024,
      0.04058576263790888,
      0.03999893866311011,
      0.0394201076967787,
      0.038849160745518065,
      0.03828599023181903,
      0.03773049005192174,
      0.03718255571561498,
      0.036642083875266615,
      0.0361089728039022,
      0.03558312216699021,
      0.035064433022220245,
      0.03455280774518072,
      0.034048150042894104,
      0.03355036495635655,
      0.03305935879842946,
      0.03257503908708452,
      0.03209731479812276,
      0.031626095993713944,
      0.031161293983296836,
      0.03070282129185997,
      0.03025059165537668,
      0.02980452001455173,
      0.029364522497140166,
      0.028930516284242938,
      0.028502419722378394,
      0.028080152245865554,
      0.027663634376616095,
      0.027252787890509018,
      0.026847535556027282,
      0.02644780109932844,
      0.026053509332124972,
      0.025664586124556337,
      0.02528095831881885,
      0.02490255372920076,
      0.024529301209357254,
      0.024161130621933136,
      0.02379797279960806,
      0.023439759388631177,
      0.02308642303307134,
      0.022737897301777527,
      0.022394116905363116,
      0.022055020200921406,
      0.021720547201880012,
      0.021390637428292964,
      0.021065230452676692,
      0.020744265924149005,
      0.020427684006202203,
      0.02011542540939253,
      0.019807431419907845,
      0.01950364408316952,
      0.019204006084756853,
      0.01890846075479009,
      0.018616952227549922,
      0.01832942544521706,
      0.018045826107584966,
      0.017766100516391048,
      0.017490195733852937,
      0.01721805962324693,
      0.01694964061277631,
      0.016684887976835337,
      0.016423751662557613,
      0.01616618219549447,
      0.015912130918225104,
      0.015661549659412483,
      0.015414391060496498,
      0.015170608396205924,
      0.014930155575843955,
      0.014692987026120758,
      0.014459057932382805,
      0.01422832266406423,
      0.014000724660212287,
      0.013776205284357223,
      0.013554711958275486,
      0.013336196416106994,
      0.01312061355465936,
      0.01290792047424147,
      0.012698076062477238,
      0.012491040635884566,
      0.012286775364389315,
      0.0120852423990414,
      0.011886404736222815,
      0.011690225938944795,
      0.01149667017207015,
      0.01130570142602021,
      0.011117280792490362,
      0.01093136992526621,
      0.010747932485801108,
      0.010566933580925494,
      0.01038833927598293,
      0.010212116678240962,
      0.010038233712307354,
      0.009866658841688821,
      0.009697361002267991,
      0.00953030980491161,
      0.009365475218838416,
      0.00920282781041831,
      0.009042338474623376,
      0.008883978499036872,
      0.008727719648555269,
      0.008573533958952157,
      0.008421393919929705,
      0.008271272437028234,
      0.008123142712520515,
      0.007976978293136285,
      0.007832753086964909,
      0.00769044147103585,
      0.007550017885290174,
      0.0074114573177106674,
      0.00727473515506341,
      0.0071398269337443485,
      0.007006708504653435,
      0.006875356160944645,
      0.006745746506748115,
      0.006617856511848567,
      0.006491663255704548,
      0.006367144238421744,
      0.006244277266971059,
      0.006123040355165826,
      0.006003411879374356,
      0.005885370493372649,
      0.005768895203848702,
      0.005653965224228275,
      0.005540560045779088,
      0.005428659484427424,
      0.005318243455012413,
      0.0052092923379380325,
      0.00510178673037019,
      0.004995707401832505,
      0.004891035435058669,
      0.004787752164450341,
      0.004685839147201263,
      0.004585278237367848,
      0.004486051425504897,
      0.004388141092528132,
      0.00429152980683301,
      0.004196200268520516,
      0.004102135540693103,
      0.004009318747391387,
      0.003917733281034563,
      0.0038273628452836325,
      0.003738191422917254,
      0.0036502030283518242,
      0.003563381924970488,
      0.003477712728594775,
      0.0033931801500223313,
      0.0033097690175547816,
      0.003227464567576706,
      0.0031462520872475933,
      0.003066117028772918,
      0.0029870450348241985,
      0.00290902206044416,
      0.0028320342414798303,
      0.0027560677827122883
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567302730211033,
      10.338618556485244,
      10.102823181878815,
      9.862721502933772,
      9.620624055801024,
      9.378558019337058,
      9.13826661849044,
      8.901177806992989,
      8.668450200092549,
      8.440968871298162,
      8.219345721815847,
      8.00393312169557,
      7.794849194862232,
      7.592012017921868,
      7.395178390987731,
      7.203981114332416,
      7.017966109316635,
      6.836625756825801,
      6.659430595889099,
      6.48585501270227,
      6.3153942585826,
      6.147584320639989,
      5.982018938364514,
      5.818355679217195,
      5.656322718356164,
      5.495722465594132,
      5.336429203085435,
      5.17839269911873,
      5.021635496508623,
      4.866255293458625,
      4.712408854333003,
      4.560305809086304,
      4.410206406513803,
      4.262420227936983,
      4.117299373649569,
      3.975243212760618,
      3.8366681002500584,
      3.7019753880646435,
      3.5715399633420932,
      3.4457002903651195,
      3.324750363609887,
      3.20893382268151,
      3.098440560188286,
      2.9934064140655137,
      2.8939069816537524,
      2.799957884786906,
      2.7115170983580272,
      2.6284771165424234,
      2.550692154217848,
      2.477961568119185,
      2.410041790663649,
      2.346673811340258,
      2.2875680128971365,
      2.232411220775534,
      2.1808603221331455,
      2.1325274573456903,
      2.087036279789431,
      2.0440444513541465,
      2.003223762244874,
      1.96427536517091,
      1.9269528231536865,
      1.8910645501277286,
      1.8564597238794422,
      1.823014963797967,
      1.790623225967229,
      1.7591947207506091,
      1.728657215284256,
      1.698951373260826,
      1.6700274260355865,
      1.6418426087975344,
      1.6143571105051182,
      1.5875346048791847,
      1.5613435391604424,
      1.535755974819377,
      1.5107467705597246,
      1.4862929972438812,
      1.4623735167537486,
      1.4389686748936052,
      1.4160600754683708,
      1.393630410915143,
      1.3716634682449045,
      1.350144647256023,
      1.3290602199181536,
      1.30839732747833,
      1.2881437487452991,
      1.2682874584079347,
      1.2488167204009843,
      1.2297201428517202,
      1.210986709147382,
      1.192605791295711,
      1.174567154328241,
      1.1568609515264423,
      1.1394777161314216,
      1.122408813495218,
      1.1056466339674136,
      1.0891840211282156,
      1.0730139547962234,
      1.057129332187461,
      1.0415230799172324,
      1.0261882269739384,
      1.0111180107485416,
      0.9963068761895133,
      0.9817498654180326,
      0.9674416918582786,
      0.9533769136925256,
      0.9395500475998342,
      0.925955643219009,
      0.9125883312403399,
      0.8994428545762024,
      0.8865140864352689,
      0.8737979283599555,
      0.8612913968191107,
      0.8489911368140626,
      0.8368934420614974,
      0.8249944144728527,
      0.8132900698849712,
      0.8017764081933654,
      0.7904494590483455,
      0.7793053113703908,
      0.7683401309867572,
      0.7575501716285452,
      0.7469317810504226,
      0.7364814033344853,
      0.7261955796226788,
      0.7160709470998186,
      0.7061042369065986,
      0.6962922721670569,
      0.6866319650455404,
      0.6771203144442399,
      0.6677544023607684,
      0.6585313531444777,
      0.6494483336125738,
      0.6405026074953257,
      0.6316912059194358,
      0.6230108639536007,
      0.6144585748099369,
      0.6060315867581313,
      0.5977273399840906,
      0.5895434232035915,
      0.5814775433867568,
      0.573527504251138,
      0.5656911909340483,
      0.557966559570439,
      0.5503516289372703,
      0.5428444744616492,
      0.5354432239524013,
      0.528146001333132,
      0.5209509489445848,
      0.5138562825350689,
      0.5068602796417266,
      0.49996127088208003,
      0.49315763413317865,
      0.48644779024213836,
      0.4798301994514717,
      0.473303359172401,
      0.46686580165866903,
      0.46051609226923795,
      0.4542528281948734,
      0.4480746372460969,
      0.44198017650215604,
      0.4359681315367827,
      0.43003721546163626,
      0.42418616794359404,
      0.4184137545301001,
      0.4127187658279036,
      0.4071000167423022,
      0.4015563458815231,
      0.39608661482421104,
      0.3906897074305086,
      0.3853645291236827,
      0.38011000657573174,
      0.37492508706394456,
      0.36980873772811573,
      0.36475994379042415,
      0.3597774970602113,
      0.35486009580180483,
      0.3500065682760568,
      0.3452158365241978,
      0.34048689179656416,
      0.33581877751361794,
      0.3312105777420075,
      0.32666140895971413,
      0.3221704143705866,
      0.31773675974508525,
      0.313359630648667,
      0.3090382302727582,
      0.30477177801606753,
      0.30055967191963384,
      0.2964016089418844,
      0.2922973830511232,
      0.2882470289164201,
      0.28425048347153786,
      0.2803074499507592,
      0.27641748028628854,
      0.2725800446636753,
      0.26879462768323004,
      0.26506080446824193,
      0.26137837297010064,
      0.25774701739598865,
      0.2541662824039517,
      0.25063562262461997,
      0.24715443577184157,
      0.24372208484838825,
      0.2403379135258189,
      0.2370012560159327,
      0.23371144363500787,
      0.23046780944785786,
      0.22726969109907727,
      0.22411643268290884,
      0.2210073861687339,
      0.2179418887368615,
      0.21491921134484135,
      0.2119386509369434,
      0.2089995436963816,
      0.20610125517783007,
      0.2032431737769957,
      0.20042470621623829,
      0.19764527415191788,
      0.1949043122218426,
      0.19220126652129166,
      0.18953559350285878,
      0.18690675919407407,
      0.1843142387057648,
      0.18175751560930137,
      0.17923608176664096,
      0.1767494369002302,
      0.17429708870370111,
      0.1718785523994395,
      0.1694933505885546,
      0.16714101306146514,
      0.1648210767350385,
      0.16253308549349638,
      0.16027659008534936,
      0.15805114782849874,
      0.15585632270770094,
      0.15369168522304952,
      0.15155681221155226,
      0.1494512868003765,
      0.14737469821877885,
      0.1453266417347955,
      0.14330671866663142,
      0.14131453615021633,
      0.13934970701309654,
      0.1374118497022167,
      0.13550058821605582,
      0.13361555212267376,
      0.13175637633399134,
      0.12992270099123873,
      0.12811417155072632,
      0.12633043847878242,
      0.12457115748373901,
      0.12283598908975939,
      0.12112459867737878,
      0.11943665654563412,
      0.11777183756327685,
      0.1161298213881788,
      0.11451029226934502,
      0.11291293890838915,
      0.1113374544113625,
      0.10978353629982428,
      0.10825088654245886,
      0.1067392112067967,
      0.10524822065299981,
      0.10377762905409747,
      0.10232715488375979,
      0.10089652068642636,
      0.09948545275340172,
      0.09809368124392247,
      0.09672094018577213,
      0.09536696736830116,
      0.09403150422906734,
      0.09271429591229596,
      0.09141509109807593,
      0.09013364199666678,
      0.08886970431688558,
      0.08762303724641092,
      0.08639340319660377,
      0.08518056804164928,
      0.08398430093124136,
      0.08280437417834312,
      0.08164056330114776,
      0.0804926469015259,
      0.07936040673271802,
      0.07824362767014523,
      0.07714209743224142,
      0.07605560677297986,
      0.07498394942423403,
      0.07392692189350587,
      0.07288432351613736,
      0.07185595648287083,
      0.07084162566477775,
      0.0698411387692082,
      0.06885430603188453,
      0.06788094035432392,
      0.06692085726947948,
      0.06597387477735825,
      0.06503981349782036,
      0.06411849649296347,
      0.06320974927026221,
      0.062313399756576994,
      0.06142927827767582,
      0.06055721754720205,
      0.05969705246029018,
      0.05884862025508648,
      0.058011760444535765,
      0.057186314673529,
      0.05637212683569067,
      0.055569042963058604,
      0.05477691132402582,
      0.053995582122811976,
      0.05322490766732783,
      0.052464742267855385,
      0.051714942293385906,
      0.05097536608572189,
      0.050245873954268355,
      0.04952632814352179,
      0.04881659274708135,
      0.048116533794491344,
      0.047426019042791936,
      0.04674491814392817,
      0.046073102411879646,
      0.045410445076739976,
      0.044756821106905334,
      0.04411210718117653,
      0.043476181578249964,
      0.042848924279042154,
      0.04223021697681539,
      0.04161994289994919,
      0.04101798699365579,
      0.040424235755021944,
      0.03983857713470492,
      0.03926090063484124,
      0.03869109734925445,
      0.038129059847615616,
      0.03757468220848512,
      0.0370278598926242,
      0.03648848980612764,
      0.03595647025466784,
      0.03543170093812812,
      0.034914082896306084,
      0.03440351863495458,
      0.03389991197436853,
      0.033403167972921935,
      0.03291319289676647,
      0.032429894525043336,
      0.03195318179273973,
      0.031482964877322564,
      0.031019155239077566,
      0.03056166541507531,
      0.030110409224583027,
      0.029665301686710933,
      0.029226258939612667,
      0.028793198348279606,
      0.02836603828654716,
      0.02794469830780118,
      0.027529099094402293,
      0.027119162325585644,
      0.026714810841901485,
      0.02631596850239698,
      0.02592256016676857,
      0.025534511751156813,
      0.025151750268980103,
      0.024774203526422418,
      0.024401800463284076,
      0.024034471001944734,
      0.0236721460277696,
      0.023314757270988664,
      0.02296223745306242,
      0.022614520188595475,
      0.022271540024491412,
      0.021933234981819608,
      0.02159954536604274,
      0.02127041091243489,
      0.020945771262795718,
      0.020625566225041626,
      0.020309736084454896,
      0.019998221681482103,
      0.019690964402634792,
      0.019387906281535607,
      0.019088990147176323,
      0.018794159469822172,
      0.018503358470281416,
      0.018216532123936924,
      0.01793362606604519,
      0.017654586741271218,
      0.01737936134633939,
      0.017107897661240892,
      0.016840144309089925,
      0.01657605057990115,
      0.016315566531013688,
      0.016058642803914752,
      0.01580523064705684,
      0.015555282068152414,
      0.015308749728849862,
      0.01506558687984646,
      0.014825747489304382,
      0.014589186189616942,
      0.014355858061238423,
      0.014125718933796843,
      0.013898725206411206,
      0.013674833924765508,
      0.013453994186347434,
      0.013236148127979621,
      0.013021243122664457,
      0.012809231228364545,
      0.012600067899840405,
      0.012393711088705179,
      0.012190120512643326,
      0.01198925726847238,
      0.011791083673219318,
      0.011595562931733194,
      0.011402658960833383,
      0.01121233634292978,
      0.01102456024442226,
      0.010839296412681916,
      0.010656511143469391,
      0.010476171135892344,
      0.010298243616328764,
      0.010122696260643228,
      0.009949497296335045,
      0.00977861422073346,
      0.009610011917070347,
      0.009443656302119054,
      0.009279515037993893,
      0.00911755688991349,
      0.008957751629120663,
      0.008800069869864159,
      0.008644482845917184,
      0.008490962361321798,
      0.008339480673456204,
      0.008190010479548284,
      0.008042524987615199,
      0.007896997805082982,
      0.007753402784265385,
      0.007611714294955501,
      0.007471906901313205,
      0.007333955688299359,
      0.007197835979291343,
      0.0070635234746554264,
      0.006930994105370432,
      0.00680022419963588,
      0.00667119041526986,
      0.006543869724353717,
      0.0064182394247066015,
      0.006294277063575888,
      0.006171960438368617,
      0.006051267770524192,
      0.005932177435409641,
      0.00581466807481415,
      0.005698718735620085,
      0.005584308781185408,
      0.00547141778500651,
      0.005360025502202348,
      0.0052501120622532,
      0.005141657891097523,
      0.0050346435520395244,
      0.0049290499429921015,
      0.004824858253241504,
      0.0047220498515001515,
      0.004620606346220565,
      0.004520509570863544,
      0.004421741722397578,
      0.004324285094123906,
      0.004228122311717715,
      0.004133236188533588,
      0.004039609779024943,
      0.003947226337704549,
      0.003856069425217622,
      0.0037661226973565304,
      0.003677370050925958,
      0.0035897956305212452,
      0.003503383969834947,
      0.003418119536330396,
      0.003333987058691378,
      0.0032509714793379782,
      0.003169057920750835,
      0.003088231868867616,
      0.0030084788616770554,
      0.0029297846614386998,
      0.0028521352750263255,
      0.002775516803669776,
      0.0026999155029897234
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567294770922132,
      10.338592149885454,
      10.102770385802923,
      9.862637108670127,
      9.6205045564471,
      9.378401171654938,
      9.138071272263572,
      8.900943598443869,
      8.66817728088555,
      8.440657715288964,
      8.21899695705712,
      8.003547399472478,
      7.794427093175624,
      7.5915539873716655,
      7.394684720775413,
      7.203451926066619,
      7.0174013772298425,
      6.836025243455578,
      6.658794020207125,
      6.485182238438915,
      6.314685247131873,
      6.146839225799988,
      5.981238254377186,
      5.817540184113958,
      5.655473488389283,
      5.494840925160618,
      5.335517173037961,
      5.177452465509508,
      5.020669809101943,
      4.865267265663155,
      4.711401885933764,
      4.5592839135356975,
      4.4091740481225505,
      4.2613822101268815,
      4.116261032066535,
      3.974210506292022,
      3.8356467947304154,
      3.700970955368369,
      3.5705574859380325,
      3.4447443784474223,
      3.3238250889017364,
      3.2080426685329084,
      3.0975863852202745,
      2.992591439237539,
      2.893132606397881,
      2.7992247499291123,
      2.7108248686392287,
      2.6278245515200602,
      2.5500773057127057,
      2.4773817357520764,
      2.409494199021196,
      2.346155462829348,
      2.287075670377483,
      2.23194143644383,
      2.180409149111032,
      2.132090837585296,
      2.0866105982044423,
      2.043626366798262,
      2.0028101230958097,
      1.96386361672728,
      1.9265410846948015,
      1.8906514372011247,
      1.8560442027203534,
      1.8225961953183252,
      1.7902004990877791,
      1.7587675597409902,
      1.7282253130637057,
      1.6985145438921978,
      1.6695855697216657,
      1.641395699122997,
      1.6139051828120587,
      1.5870777158030038,
      1.5608817597079174,
      1.5352893858729835,
      1.510275459338271,
      1.4858170544163825,
      1.4618930347659052,
      1.4384837470476428,
      1.4155707953982175,
      1.3931368717423902,
      1.3711657731111337,
      1.3496429142525836,
      1.328554572814724,
      1.3078879054726835,
      1.2876306727648625,
      1.2677708363446392,
      1.248296650629212,
      1.2291967172493627,
      1.2104600138383106,
      1.192075908570738,
      1.174034163098706,
      1.1563249281399084,
      1.1389387348875972,
      1.1218669775881172,
      1.1051020558127649,
      1.0886368112235039,
      1.0724642094131756,
      1.05657713728083,
      1.040968514461611,
      1.025631364968239,
      1.010559006933498,
      0.9957460037672354,
      0.9811873273722879,
      0.9668776436286254,
      0.9528114781668654,
      0.9389833249554482,
      0.9253877179176822,
      0.9120192771038359,
      0.8988727377482074,
      0.8859429675061912,
      0.8732261197247823,
      0.8607192313046621,
      0.8484188498951702,
      0.8363212032394851,
      0.8244223482673876,
      0.8127182706560057,
      0.8012049496905045,
      0.7898784009990522,
      0.7787347035287688,
      0.767770016687568,
      0.7569805899902766,
      0.7463627680115875,
      0.7359129925173361,
      0.7256278027468644,
      0.7155038347872245,
      0.7055378188869802,
      0.6957265774198853,
      0.6860670220820977,
      0.6765561510690928,
      0.6671910461850412,
      0.6579688291118962,
      0.6488866658077616,
      0.639941820531584,
      0.6311313583756033,
      0.6224520177430842,
      0.6139007798528865,
      0.6054748845548943,
      0.5971717662134249,
      0.5889890094550264,
      0.5809243184652043,
      0.5729754948797577,
      0.5651404224180251,
      0.5574170558887578,
      0.5498034130267738,
      0.542297568337883,
      0.5348976490499602,
      0.5276018312389593,
      0.5204082895561136,
      0.5133152119608231,
      0.5063208552291831,
      0.49942353580797716,
      0.4926216220839969,
      0.4859135281488127,
      0.4792977097118612,
      0.4727726609367521,
      0.4663369118186243,
      0.459989026102938,
      0.453727599746467,
      0.44755125949209507,
      0.4414586618398542,
      0.43544849160392046,
      0.4295194614065007,
      0.4236703105868277,
      0.4178998043425337,
      0.4122067328515921,
      0.4065899106329999,
      0.40104817586888414,
      0.395580389793685,
      0.39018543587262167,
      0.3848622193064444,
      0.3796096665857096,
      0.3744267245879304,
      0.3693123603135997,
      0.36426554740285255,
      0.35928506132267074,
      0.3543696094116666,
      0.3495180259973778,
      0.3447292370161032,
      0.3400022362921706,
      0.3353360691157454,
      0.33072982068459184,
      0.3261826082520202,
      0.3216935753397313,
      0.31726188787007636,
      0.3128867313918557,
      0.3085673090614439,
      0.304302857146406,
      0.3000928471113159,
      0.2959370361431021,
      0.29183525662416976,
      0.28778756635829933,
      0.2837938261289083,
      0.2798536883456437,
      0.2759666713886879,
      0.2721322316559382,
      0.26834984886663693,
      0.26461911369005164,
      0.26093981498739655,
      0.25731161639256545,
      0.25373404871363164,
      0.25020655714857093,
      0.24672853309891735,
      0.24329933535742185,
      0.23991830466847358,
      0.23658477316658047,
      0.23329807090547944,
      0.23005752996094467,
      0.22686248744727938,
      0.22371228721799571,
      0.22060628097056725,
      0.21754379531333976,
      0.21452410023819832,
      0.211546496537794,
      0.20861032287780168,
      0.20571494668784637,
      0.2028597576116475,
      0.20004416303377942,
      0.1972675850825765,
      0.194529458856287,
      0.1918292307723706,
      0.18916635739105847,
      0.18654030486132192,
      0.1839505483645518,
      0.18139657158027714,
      0.17887786640104167,
      0.17639393279421922,
      0.17394427846711752,
      0.17152841848734418,
      0.16914587545556753,
      0.1667961791754411,
      0.16447886675536866,
      0.1621934819465532,
      0.15993957546496196,
      0.1577167048099237,
      0.1555244339991565,
      0.1533623335245991,
      0.15122998035780222,
      0.14912695757232047,
      0.1470528543835418,
      0.14500726619317927,
      0.14298979433941342,
      0.1410000458515467,
      0.13903763355153656,
      0.13710217605788472,
      0.1351932974505341,
      0.13331062725706025,
      0.13145380046792063,
      0.12962245738364292,
      0.12781624329341543,
      0.126034808767162,
      0.12427780952483111,
      0.12254490621332945,
      0.12083576435817603,
      0.11915005413931591,
      0.11748745056348188,
      0.1158476333527554,
      0.11423028673384876,
      0.11263509954072813,
      0.11106176504605672,
      0.1095099807878422,
      0.10797944856909511,
      0.10646987463681762,
      0.10498096939865255,
      0.10351244722339105,
      0.10206402658541382,
      0.10063542997471865,
      0.09922638376949172,
      0.09783661826853284,
      0.09646586754578135,
      0.0951138694130936,
      0.09378036544060853,
      0.09246510074807979,
      0.09116782412659875,
      0.08988828790592346,
      0.08862624773843343,
      0.08738146281466629,
      0.08615369585596003,
      0.0849427127470665,
      0.08374828265095467,
      0.0825701780237019,
      0.0814081744532161,
      0.08026205065892503,
      0.07913158840045133,
      0.0780165725437132,
      0.07691679107130063,
      0.07583203473503748,
      0.07476209725279771,
      0.07370677529029569,
      0.07266586831050316,
      0.07163917842961648,
      0.07062651062019874,
      0.0696276726065405,
      0.0686424747763244,
      0.06767073014033918,
      0.06671225422220113,
      0.0657668652116457,
      0.06483438378750346,
      0.06391463315009205,
      0.0630074388338497,
      0.06211262878649801,
      0.061230033361262655,
      0.060359485337377575,
      0.05950081985749488,
      0.05865387420809991,
      0.057818487932899294,
      0.05699450282038919,
      0.05618176283656165,
      0.0553801141198452,
      0.05458940493634308,
      0.053809485652800616,
      0.053040208577168374,
      0.052281428127904386,
      0.051533000830033614,
      0.05079478520138841,
      0.05006664147751298,
      0.04934843192886862,
      0.04864002075891957,
      0.047941274079887616,
      0.047252059746135965,
      0.04657224744557309,
      0.04590170869261475,
      0.04524031671406896,
      0.04458794659595412,
      0.04394447491518329,
      0.04330978022081231,
      0.042683742548452114,
      0.04206624368865875,
      0.041457166911137516,
      0.04085639719127673,
      0.04026382107705813,
      0.039679326737235926,
      0.03910280377686106,
      0.038534143433963136,
      0.03797323823511825,
      0.037419982301917065,
      0.03687427116375306,
      0.036336001764228895,
      0.03580507253961868,
      0.0352813832831154,
      0.03476483523460642,
      0.03425533087315529,
      0.03375277407093236,
      0.03325706991189849,
      0.032768124849290446,
      0.032285846696676716,
      0.031810144458533834,
      0.031340928445846204,
      0.030878110129287116,
      0.030421602203558086,
      0.02997131858655025,
      0.029527174254873605,
      0.029089085407508524,
      0.02865696946284685,
      0.028230744980717846,
      0.027810331541070734,
      0.02739564984940647,
      0.026986621738386896,
      0.02658317010374884,
      0.026185218882835037,
      0.025792692934907754,
      0.0254055182688754,
      0.025023621957389733,
      0.024646931985000304,
      0.024275377284380256,
      0.023908887827111338,
      0.02354739454688907,
      0.02319082932348044,
      0.022839124945090914,
      0.022492215048767895,
      0.022150034242297494,
      0.021812520092963143,
      0.021479612864674476,
      0.02115125257403015,
      0.02082737916921301,
      0.02050793261910668,
      0.02019285320615194,
      0.01988208189658715,
      0.019575560236545244,
      0.01927323038997505,
      0.018975035204844188,
      0.01868091826887001,
      0.018390823923976323,
      0.018104697060915262,
      0.017822483412195222,
      0.01754412947280409,
      0.01726958253247141,
      0.016998790430621042,
      0.01673170194368262,
      0.016468266310789063,
      0.016208433588109132,
      0.01595215452306907,
      0.015699380418562243,
      0.015450063349068358,
      0.015204156049012665,
      0.014961611886589812,
      0.014722384871771107,
      0.014486429584048832,
      0.014253701293197793,
      0.01402415586046928,
      0.01379774967333413,
      0.01357443988178107,
      0.013354184115619868,
      0.013136940585635571,
      0.012922665115785263,
      0.012711302743235457,
      0.012502800207520919,
      0.012297109498925735,
      0.012094186397928612,
      0.011893989392478673,
      0.011696478853589858,
      0.011501616676463173,
      0.011309365927517709,
      0.011119690744087815,
      0.010932555913793239,
      0.010747926971932324,
      0.010565770074039731,
      0.010386052013505854,
      0.010208739989606287,
      0.010033801619377721,
      0.009861204988723438,
      0.009690918762657319,
      0.009522912030539354,
      0.009357154222860027,
      0.009193615201161392,
      0.009032265299038375,
      0.008873075180097412,
      0.008716015900982874,
      0.008561058937807082,
      0.008408176156875093,
      0.00825733847700987,
      0.008108514940729233,
      0.007961675582757217,
      0.007816791820893879,
      0.007673836127535129,
      0.007532781960077992,
      0.007393603281249273,
      0.0072562747496952495,
      0.007120771436095965,
      0.006987068795062994,
      0.0068551427472143,
      0.006724969610043827,
      0.006596525973025258,
      0.006469788860292067,
      0.006344735621469297,
      0.006221343842622385,
      0.006099591353756207,
      0.005979456364445807,
      0.005860917410121195,
      0.005743953248782282,
      0.005628542961989114,
      0.005514665923717027,
      0.005402301732007939,
      0.005291430358063811,
      0.00518203195946053,
      0.0050740869421623,
      0.004967576004459612,
      0.004862480061180436,
      0.004758780334237261,
      0.004656458202463078,
      0.004555495389564304,
      0.004455873847635303,
      0.004357575769079092,
      0.004260583548491609,
      0.004164879866243953,
      0.004070447601414214,
      0.00397726994274959,
      0.0038853301698974527,
      0.0037946117785880792,
      0.003705098581341892,
      0.003616774631198818,
      0.0035296240699809896,
      0.0034436313650806046,
      0.003358781108539713,
      0.003275058001033575,
      0.0031924471226339487,
      0.003110933753418383,
      0.0030305033029162662,
      0.0029511413863447097,
      0.0028728337428348036,
      0.002795566306609172,
      0.002719325387099596,
      0.002644097360774478
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567286820176829,
      10.33856576473119,
      10.102717616499104,
      9.862552737646393,
      9.620385067736681,
      9.378244313632631,
      9.13787585481243,
      8.90070925329522,
      8.667904158347364,
      8.440346287829037,
      8.218647848972495,
      8.003161260393526,
      7.794004501929429,
      7.591095395086593,
      7.3941904165026475,
      7.2029220318696074,
      7.016835869140575,
      6.835423886030074,
      6.658156533187277,
      6.48450848485977,
      6.313975188756247,
      6.146093017105038,
      5.980456391181566,
      5.816723446558029,
      5.654622955152844,
      5.493958022858859,
      5.334603725765724,
      5.176510761381163,
      5.019702599471792,
      4.86427766714673,
      4.7103933011666115,
      4.5582603584291235,
      4.408139989585518,
      4.260342454303624,
      4.115220917406555,
      3.973175994605103,
      3.8346236544150316,
      3.6999646610518626,
      3.5695731236949966,
      3.443786561783241,
      3.322897891330441,
      3.2071495752260937,
      3.0967302565943515,
      2.9917744985948582,
      2.8923562553740148,
      2.7984896315536334,
      2.7101306506120673,
      2.6271699978684158,
      2.5494604729070627,
      2.476799928537587,
      2.4089446467613325,
      2.3456351729145464,
      2.2865814112993696,
      2.2314697658753997,
      2.1799561249289967,
      2.1316524067281803,
      2.0861831076265105,
      2.0432064193780954,
      2.0023945714536286,
      1.9634499386191706,
      1.9261274223558247,
      1.8902364223710302,
      1.8556268131585598,
      1.8221756001881992,
      1.7897759928522992,
      1.7583386702498165,
      1.7277917354261811,
      1.6980760930369478,
      1.6691421461213158,
      1.6409472765101825,
      1.6134517955033914,
      1.586619419217523,
      1.5604186236642492,
      1.5348214898541894,
      1.5098028888648398,
      1.4853398992414475,
      1.4614113865022258,
      1.437997698310396,
      1.4150804385794897,
      1.3926422983303894,
      1.3706670847409326,
      1.349140227899297,
      1.328048011225328,
      1.3073776073315546,
      1.2871167581387934,
      1.2672534125865793,
      1.2477758157000978,
      1.2286725615254275,
      1.2099326227922833,
      1.1915453638339277,
      1.173500543276048,
      1.1557883092244972,
      1.1383991905786737,
      1.1213246102379073,
      1.104556976757986,
      1.088089130208301,
      1.071914022183689,
      1.056024529548575,
      1.0404135647861217,
      1.0250741466128948,
      1.0099996738903714,
      0.9951848288353956,
      0.980624513227115,
      0.9663133454991679,
      0.9522458184752947,
      0.9384164035167372,
      0.9248196186311951,
      0.9114500730813547,
      0.8983024945822004,
      0.885371829370056,
      0.8726544404068082,
      0.8601473004455501,
      0.8478468735990542,
      0.835749331009611,
      0.8238506914586468,
      0.8121469143146854,
      0.800633961166003,
      0.7893078356005357,
      0.7781646085125696,
      0.7672004333298217,
      0.7564115554291949,
      0.745794316609052,
      0.7353451568713354,
      0.7250606141789565,
      0.7149373232560214,
      0.704972013650397,
      0.6951615072262317,
      0.6855027152737206,
      0.675992635547128,
      0.6666283491594843,
      0.6574069753643321,
      0.6483256796009309,
      0.6393817264641151,
      0.6305722150725797,
      0.6218938874800356,
      0.6133437126184339,
      0.604918921726308,
      0.5966169434598858,
      0.5884353582662665,
      0.5803718672268064,
      0.5724242698549593,
      0.5645904484856719,
      0.5568683567354875,
      0.5492560115317753,
      0.5417514869988281,
      0.5343529095104428,
      0.5270584546208193,
      0.5198663437407018,
      0.5127748015430322,
      0.5057820594476307,
      0.4988864128500663,
      0.4920862155970512,
      0.48537987189089477,
      0.478765830509823,
      0.47224258082643894,
      0.4658086495017641,
      0.45946259800505307,
      0.45320302055305844,
      0.44702854272434633,
      0.4409378199376372,
      0.4349295364835108,
      0.429002404349786,
      0.4231551622764843,
      0.41738657494077563,
      0.4116954323019763,
      0.4060805484986601,
      0.4005407613688656,
      0.39507493185892256,
      0.38968194306986953,
      0.38436069993498756,
      0.3791101284636217,
      0.37392917539254794,
      0.3688168074091342,
      0.3637719866515059,
      0.3587934726798379,
      0.3538799815549432,
      0.3490303534460956,
      0.3442435183657226,
      0.3395184728672194,
      0.3348542638332096,
      0.3302499776708038,
      0.32570473224478685,
      0.3212176714842837,
      0.3167879615009301,
      0.3124147879528187,
      0.30809735396012367,
      0.3038349132293864,
      0.29962705584016164,
      0.29547353998077824,
      0.29137427439488434,
      0.2873292940412115,
      0.28333839105072084,
      0.27940117145214466,
      0.2755171231461959,
      0.27168569079823945,
      0.2679063505856212,
      0.264178709808993,
      0.2605025489992074,
      0.25687751167895045,
      0.25330311503612946,
      0.24977879497458236,
      0.2463039366184646,
      0.24287789462180912,
      0.23950000680793618,
      0.23616960345514118,
      0.23288601330778488,
      0.22964856765957428,
      0.22645660298335626,
      0.2233094626531768,
      0.22020649810896936,
      0.21714702560369722,
      0.21413031420180226,
      0.21115566842931732,
      0.2082224296114107,
      0.20532996692449654,
      0.2024776711948806,
      0.1996649505687303,
      0.1968912279235629,
      0.19415593870156064,
      0.19145852942440067,
      0.18879845689745658,
      0.1861751873629665,
      0.18358819605764862,
      0.18103696677920192,
      0.1785209914478663,
      0.17603976999280316,
      0.17359281013048047,
      0.17117962716251967,
      0.1687997436964228,
      0.1664526895694012,
      0.16413800174562493,
      0.16185522416823914,
      0.1596039075533859,
      0.15738360930964213,
      0.15519389352011795,
      0.1530343308279003,
      0.15090449812948575,
      0.14880397848887164,
      0.14673236128493522,
      0.1446892418740732,
      0.1426742215753256,
      0.14068690746207813,
      0.1387269125142968,
      0.13679385528528493,
      0.13488735992850703,
      0.13300705610707406,
      0.1311525787863791,
      0.12932356811261853,
      0.127519669592949,
      0.12574053398064805,
      0.12398581693465689,
      0.12225517910801256,
      0.12054828595865466,
      0.11886480795135815,
      0.11720442005599703,
      0.11556680195396553,
      0.11395163799229582,
      0.11235861701280588,
      0.11078743228506445,
      0.10923778146642735,
      0.10770936651252402,
      0.10620189372955394,
      0.10471507349077856,
      0.10324862029125366,
      0.10180225273961002,
      0.10037569329659425,
      0.09896866839562454,
      0.09758090840496242,
      0.09621214745681231,
      0.09486212353758089,
      0.09353057818404567,
      0.09221725660538876,
      0.09092190764576813,
      0.08964428367083896,
      0.08838414048528964,
      0.08714123735164803,
      0.08591533690649412,
      0.08470620518405401,
      0.08351361144177843,
      0.08233732817240186,
      0.08117713113022623,
      0.08003279908644027,
      0.07890411390342511,
      0.07779086047668814,
      0.07669282675507562,
      0.07560980363791758,
      0.07454158499415303,
      0.0734879675173403,
      0.07244875076264445,
      0.07142373697478517,
      0.07041273113537003,
      0.06941554111283198,
      0.06843197730718592,
      0.06746185272450864,
      0.06650498308569608,
      0.06556118666899187,
      0.06463028415214576,
      0.06371209879423392,
      0.06280645618807287,
      0.061913184425234254,
      0.06103211409542754,
      0.060163077884565534,
      0.05930591096038318,
      0.05846045083238307,
      0.057626537052192076,
      0.05680401152926316,
      0.05599271831101151,
      0.05519250365436874,
      0.054403215905252315,
      0.05362470535063526,
      0.052856824516978984,
      0.05209942800008907,
      0.05135237230891312,
      0.05061551591717574,
      0.049888719252204894,
      0.049171844684877286,
      0.04846475637116831,
      0.04776732055515297,
      0.04707940517057532,
      0.046400880024822726,
      0.04573161679882232,
      0.04507148877757257,
      0.04442037096216718,
      0.0437781402293257,
      0.043144675107083044,
      0.042519855801865035,
      0.041903564104454664,
      0.04129568342610064,
      0.04069609879334478,
      0.04010469679783454,
      0.039521365593702354,
      0.03894599484979286,
      0.03837847583834503,
      0.037818701364426006,
      0.0372665656342037,
      0.03672196422432703,
      0.03618479417094945,
      0.03565495394653601,
      0.03513234352824983,
      0.034616864119144775,
      0.03410841828737763,
      0.033606909996280375,
      0.03311224437562981,
      0.032624328057690194,
      0.03214306889824123,
      0.03166837597628773,
      0.03120015955692567,
      0.030738331205240544,
      0.030282803746083,
      0.029833491056986555,
      0.029390308374191557,
      0.02895317201526181,
      0.02852199939883515,
      0.02809670912873898,
      0.02767722090162277,
      0.02726345547292051,
      0.026855334652165448,
      0.02645278136610189,
      0.026055719694474084,
      0.025664074617273477,
      0.0252777722749318,
      0.024896739653753146,
      0.02452090493005018,
      0.02415019723975519,
      0.023784546515653267,
      0.023423883690388794,
      0.023068140693017464,
      0.022717250475250656,
      0.022371146761622,
      0.022029764171679785,
      0.021693039668162512,
      0.02136091359750478,
      0.02103332624971032,
      0.020710217772840708,
      0.02039152831067205,
      0.020077198404540163,
      0.019767169103636243,
      0.019461381950351356,
      0.019159779132950115,
      0.018862303564415987,
      0.018568898944917936,
      0.018279509604697868,
      0.017994080693306536,
      0.01771255796444912,
      0.017434887957798163,
      0.017161018012064946,
      0.01689089614136197,
      0.01662447102857063,
      0.016361691976871703,
      0.016102509067216893,
      0.015846873178856254,
      0.015594735828697573,
      0.015346049063753699,
      0.015100765661278591,
      0.014858839013464147,
      0.01462022316745121,
      0.014384872823259615,
      0.014152743219599912,
      0.013923790270122666,
      0.013697970517843994,
      0.013475241110909406,
      0.013255559774502497,
      0.01303888475320128,
      0.012825174914395015,
      0.012614389618633003,
      0.012406488865609596,
      0.01220142487634039,
      0.011999143697195265,
      0.011799596610486013,
      0.011602739140771336,
      0.011408529945587133,
      0.011216929915342884,
      0.011027901651284575,
      0.010841409006993251,
      0.010657416786841673,
      0.010475890754362538,
      0.010296797334748413,
      0.010120103570768122,
      0.009945777120599835,
      0.009773786035560597,
      0.009604098952884176,
      0.009436684978930979,
      0.009271513491584775,
      0.009108554376520897,
      0.0089477779915581,
      0.008789155273034838,
      0.008632657208263336,
      0.008478255319812365,
      0.008325921591661027,
      0.008175628289369886,
      0.00802734802308774,
      0.007881053780001132,
      0.0077367190662700714,
      0.007594317675997278,
      0.007453823626386158,
      0.007315211374055803,
      0.007178455752797909,
      0.007043531976511619,
      0.006910415440315692,
      0.006779081274371502,
      0.006649502706517576,
      0.006521653393790726,
      0.006395508247334868,
      0.006271043219585605,
      0.00614823498718961,
      0.0060270607830184885,
      0.005907498491551653,
      0.005789526409224822,
      0.005673123165772929,
      0.005558267678347095,
      0.0054449392915747455,
      0.0053331177473274986,
      0.005222782863381653,
      0.005113914886869286,
      0.005006494232330012,
      0.004900501608236462,
      0.004795918043047217,
      0.0046927248108960835,
      0.0045909034024835494,
      0.0044904356115019585,
      0.004391303533304296,
      0.004293489379755511,
      0.004196975645011721,
      0.004101744998703995,
      0.0040077803321633765,
      0.003915064742324232,
      0.003823581643443089,
      0.0037333147338574524,
      0.0036442477982813587,
      0.0035563649560366077,
      0.0034696504585817155,
      0.003384088697821145,
      0.003299664367249446,
      0.0032163624020025766,
      0.0031341678688949293,
      0.0030530660667292217,
      0.0029730424559905756,
      0.0028940826652005657,
      0.0028161725300067803,
      0.0027392981141500525,
      0.0026634456419418876,
      0.0025886015645330052
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567278880721561,
      10.338539411289943,
      10.102664897273291,
      9.862468428524252,
      9.620265644014614,
      9.378087516854611,
      9.137680489543472,
      8.900474944796926,
      8.66763104949691,
      8.440034844596127,
      8.21829869434893,
      8.002775041690912,
      7.793581794260084,
      7.590636649077939,
      7.39369592162434,
      7.202391910189712,
      7.016270096750616,
      6.834822226311075,
      6.657518707338243,
      6.483834357128339,
      6.31326472158513,
      6.145346367030256,
      5.9796740546989335,
      5.815906205253189,
      5.653771889618104,
      5.493074562443888,
      5.333689696623961,
      5.175568453621479,
      5.018734767111172,
      4.863287428337579,
      4.709384060025733,
      4.557236130483934,
      4.407105241423735,
      4.259301991280107,
      4.1141800766836205,
      3.972140737502213,
      3.833599749617007,
      3.698957582416968,
      3.5685879556029905,
      3.4428279164973534,
      3.321969841048426,
      3.206255603731031,
      3.0958732235747153,
      2.9909566255842726,
      2.8915789436768975,
      2.7977535245756893,
      2.709435417823891,
      2.6265143591621833,
      2.5488424947400676,
      2.476216925564893,
      2.4083938677640764,
      2.345113633992281,
      2.2860858899420586,
      2.230996829298283,
      2.1795018403513344,
      2.1312127283665947,
      2.085754389090098,
      2.042785270469017,
      2.001977850362523,
      1.9630351265152757,
      1.9257126639540647,
      1.8898203515740186,
      1.855208405740361,
      1.8217540265659533,
      1.789350547974567,
      1.7579088818721,
      1.727357298249679,
      1.6976368213308588,
      1.668697939713202,
      1.6404981079031238,
      1.6129976985842034,
      1.5861604486159515,
      1.55995484856887,
      1.5343529892360543,
      1.509329747757994,
      1.4848622062857437,
      1.460929232799348,
      1.4375111751502816,
      1.4145896373410864,
      1.39214730996023,
      1.3701680109631087,
      1.348637185754033,
      1.3275411231516336,
      1.3068670110334053,
      1.2866025735106046,
      1.2667357460456297,
      1.2472547641741565,
      1.228148215230493,
      1.2094050665956977,
      1.191014678421904,
      1.1729668061754635,
      1.1552515955760179,
      1.1378595738132493,
      1.1207821925180916,
      1.1040118694648688,
      1.0875414424528154,
      1.0713638493184998,
      1.0554719570832287,
      1.0398586709668198,
      1.0245170047889751,
      1.0094404382369169,
      0.9946237716713335,
      0.9800618370025613,
      0.9657492049662443,
      0.9516803354815945,
      0.9378496773584167,
      0.9242517333048436,
      0.9108811016512369,
      0.8977325022971091,
      0.8848010091012046,
      0.8720831690425652,
      0.8595758419327149,
      0.8472754170333258,
      0.8351780143778761,
      0.823279617927789,
      0.8115761636450297,
      0.8000635970891466,
      0.7887379107045757,
      0.7775951680695273,
      0.7666315176689437,
      0.7558432012932776,
      0.7452265581340132,
      0.7347780263179811,
      0.7244941425217438,
      0.7143715405025308,
      0.7044069491728436,
      0.6945971897244116,
      0.6849391728272491,
      0.6754298957068782,
      0.6660664392309044,
      0.6568459199836592,
      0.6477655025929904,
      0.6388224522303311,
      0.630013902204179,
      0.62133659817864,
      0.6127874968344954,
      0.6043638208602907,
      0.5960629930871771,
      0.5878825897927444,
      0.5798203092693469,
      0.571873948892443,
      0.5640413893689994,
      0.5563205833629333,
      0.5487095466235622,
      0.5412063523444394,
      0.5338091264856436,
      0.5265160441369638,
      0.5193253263136952,
      0.5122352375951985,
      0.5052440519771458,
      0.49835004300783753,
      0.49155154266901174,
      0.48484694018914554,
      0.4782346740707482,
      0.471713226694815,
      0.4652811197894667,
      0.45893691126631203,
      0.4526791928874678,
      0.4465065885863687,
      0.4404177525026754,
      0.4344113678771562,
      0.42848614597050927,
      0.4226408249324405,
      0.4168741689801442,
      0.4111849674825681,
      0.40557203433420613,
      0.4000342069870721,
      0.3945703458791504,
      0.3891793338816463,
      0.38386007576843223,
      0.378611497150018,
      0.37343254427249306,
      0.3683221834892522,
      0.3632793657955979,
      0.3583028347461694,
      0.35339131535568363,
      0.3485436535106341,
      0.3437587832259229,
      0.33903570364631164,
      0.3343734635791511,
      0.32977115049003747,
      0.3252278828949023,
      0.3207428050680157,
      0.3163150832224855,
      0.31194390292277374,
      0.3076284672646088,
      0.3033680796273124,
      0.2991624326652479,
      0.2950112841195642,
      0.2909146074326366,
      0.2868723880698798,
      0.2828843571041639,
      0.2789500795286583,
      0.2750690172931255,
      0.2712406116285458,
      0.2674643274769004,
      0.26373979059036,
      0.26006677434853614,
      0.2564449029498708,
      0.2528736805247414,
      0.2493525343540968,
      0.2458808435584595,
      0.24245795867014788,
      0.2390832148990874,
      0.23575594071949113,
      0.23247546350307252,
      0.22924111376081938,
      0.22605222741159103,
      0.22290814737306885,
      0.21980822481194143,
      0.21675176580045352,
      0.21373803843356068,
      0.2107663510307474,
      0.2078360474840327,
      0.2049464987381774,
      0.2020970967089127,
      0.19928725043940418,
      0.19651638337369703,
      0.19378393120355872,
      0.19108934077748646,
      0.1884320690886455,
      0.18581158252950347,
      0.18322735638501492,
      0.18067887448734518,
      0.17816562894209959,
      0.17568711960701386,
      0.17324285422569147,
      0.1708323481351286,
      0.1684551240049852,
      0.16611071160797158,
      0.16379864793239507,
      0.16151847693804255,
      0.1592697495019411,
      0.15705202314708072,
      0.1548648618777101,
      0.1527078362228418,
      0.15058052308768555,
      0.14848250576236938,
      0.14641337361785048,
      0.14437272205440618,
      0.14236015241606687,
      0.14037527189654625,
      0.13841769342419485,
      0.13648703557594416,
      0.13458292254018003,
      0.1327049839241652,
      0.13085285478752082,
      0.12902617554605683,
      0.12722459170748454,
      0.1254477538323676,
      0.12369531767590294,
      0.12196694397714208,
      0.12026229827015746,
      0.1185810510599725,
      0.11692287740368766,
      0.11528745714222717,
      0.11367447454288457,
      0.11208361858608673,
      0.11051458256751437,
      0.1089670641852481,
      0.10744076544400692,
      0.10593539266238121,
      0.10445065629123712,
      0.10298627088550803,
      0.10154195513430493,
      0.10011743151040324,
      0.09871242652422958,
      0.09732667064770285,
      0.09595989809936643,
      0.0946118468199162,
      0.0932822584989684,
      0.09197087849377614,
      0.0906774556523882,
      0.0894017423907979,
      0.08814349459131622,
      0.08690247161526404,
      0.08567843618114869,
      0.08447115439470693,
      0.08328039557167927,
      0.08210593222730962,
      0.08094754016013982,
      0.07980499820718055,
      0.07867808834378451,
      0.07756659562622177,
      0.07647030802102162,
      0.07538901648033695,
      0.07432251493913963,
      0.07327060016068872,
      0.07223307182768256,
      0.07120973231654658,
      0.07020038675166397,
      0.06920484292967305,
      0.06822291133320518,
      0.06725440508435125,
      0.06629913987590341,
      0.06535693411567747,
      0.0644276086387566,
      0.06351098673090369,
      0.06260689417667854,
      0.06171515918357278,
      0.06083561227969214,
      0.05996808623938447,
      0.05911241631953032,
      0.058268440017939835,
      0.05743599708556542,
      0.05661492954349888,
      0.05580508154026474,
      0.055006299235885604,
      0.05421843110698673,
      0.053441327614992325,
      0.05267484132394295,
      0.051918826876612666,
      0.05117314081947874,
      0.05043764173381732,
      0.049712190190101785,
      0.04899664870030191,
      0.048290881613837496,
      0.04759475509061073,
      0.04690813716984107,
      0.04623089773165795,
      0.04556290840183262,
      0.04490404264155347,
      0.044254175615028556,
      0.043613184228986135,
      0.04298094710554037,
      0.042357344444183244,
      0.04174225813758209,
      0.04113557175740797,
      0.04053717034273184,
      0.039946940518582254,
      0.039364770668265624,
      0.03879055059400379,
      0.03822417153283591,
      0.03766552631810423,
      0.0371145092447554,
      0.036571015968914544,
      0.03603494372444622,
      0.0355061910524844,
      0.03498465789556219,
      0.034470245537933306,
      0.033962856672124044,
      0.03346239521619015,
      0.03296876650490184,
      0.032481877184166466,
      0.03200163514861553,
      0.03152794958268039,
      0.03106073091745525,
      0.03059989079903025,
      0.030145342042044665,
      0.02969699881400425,
      0.029254776350730646,
      0.028818590920780526,
      0.02838836003242887,
      0.02796400231480061,
      0.027545437587621912,
      0.02713258666868054,
      0.02672537153464995,
      0.0263237151369919,
      0.025927541552320018,
      0.02553677593315117,
      0.025151344488700322,
      0.024771174278830178,
      0.02439619348212637,
      0.02402633127376548,
      0.023661517662734707,
      0.023301683765122594,
      0.022946761559767905,
      0.02259668390185874,
      0.022251384724354655,
      0.02191079869038471,
      0.02157486227909845,
      0.021243515848034654,
      0.02091669999599776,
      0.020594354938136307,
      0.02027642110845116,
      0.01996283914228252,
      0.01965355015287453,
      0.019348495850530688,
      0.01904761849217753,
      0.018750861100613754,
      0.01845816741909171,
      0.018169481818249858,
      0.017884749453323284,
      0.017603916221020758,
      0.01732692875735607,
      0.01705373439382377,
      0.01678428123735317,
      0.016518517985830657,
      0.016256394159648874,
      0.01599785990371277,
      0.015742866103857233,
      0.015491364174982161,
      0.01524330623967117,
      0.014998645226661236,
      0.01475733457816666,
      0.014519328461699614,
      0.0142845815648284,
      0.014053049203880282,
      0.01382468730122504,
      0.013599452575159595,
      0.013377302236440722,
      0.013158193935047881,
      0.012942085924880964,
      0.012728937237075163,
      0.012518707385816149,
      0.012311356400287984,
      0.012106844769722364,
      0.01190513362559123,
      0.011706183196689913,
      0.011509944084825205,
      0.011316365581956787,
      0.01112540238480999,
      0.010937012909250116,
      0.010751158141347847,
      0.010567801083650222,
      0.010386906158568144,
      0.01020843892880412,
      0.01003236589249797,
      0.009858654211605282,
      0.00968727184420323,
      0.009518187259494293,
      0.009351369371384907,
      0.009186787677467069,
      0.00902441214549656,
      0.008864213063906109,
      0.008706161262341092,
      0.008550227958863912,
      0.008396384799898182,
      0.008244603666152539,
      0.008094856937626961,
      0.007947117283437975,
      0.0078013577771986805,
      0.007657551861207162,
      0.007515673503262417,
      0.0073756967444449685,
      0.00723759613801996,
      0.007101346586001491,
      0.0069669232404049285,
      0.006834301622368826,
      0.00670345754500135,
      0.006574367171085559,
      0.006447006989452112,
      0.0063213537864660555,
      0.0061973846757156885,
      0.0060750771735102165,
      0.005954408996214751,
      0.005835358093588342,
      0.005717902835835003,
      0.005602021845824809,
      0.005487694055466375,
      0.0053748985714228235,
      0.005263614402682325,
      0.005153818826915399,
      0.005045489469847781,
      0.004938605050465558,
      0.004833145151135587,
      0.004729089997565696,
      0.004626420343075084,
      0.0045251173039455245,
      0.004425162450728274,
      0.004326537729617953,
      0.004229225206935998,
      0.00413320739966677,
      0.00403846711768293,
      0.003944987275526559,
      0.003852750977764689,
      0.0037617416946573194,
      0.0036719431462948174,
      0.0035833391686608627,
      0.0034959138982597468,
      0.0034096516208623542,
      0.0033245368815731473,
      0.003240554544935559,
      0.0031576893984629514,
      0.0030759265445163427,
      0.002995251373607388,
      0.0029156494307368717,
      0.002837106460520599,
      0.0027596083510820764,
      0.0026831411995795885,
      0.002607691264010727,
      0.002533245093696276
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567270956828029,
      10.338513102267978,
      10.102612253556474,
      9.86238422663812,
      9.620146357213798,
      9.377930881102776,
      9.137485302440773,
      8.900240826368485,
      8.667358139833787,
      8.439723607298678,
      8.21794974905314,
      8.002389033775033,
      7.793159299458729,
      7.59017811678605,
      7.3932016406075896,
      7.201862002463897,
      7.015704539747463,
      6.834220783584025,
      6.656881098542623,
      6.483160448989052,
      6.31255447945514,
      6.144599949137024,
      5.97889195976308,
      5.815089216331067,
      5.652921089316982,
      5.492191380539572,
      5.332775960633867,
      5.174626455711698,
      5.017767262610794,
      4.862297535872904,
      4.708375183233801,
      4.55621228358174,
      4.40607088841321,
      4.258261934432947,
      4.113139649560332,
      3.9711058958754544,
      3.832576255527021,
      3.697950903883792,
      3.56760317086463,
      3.4418696313171195,
      3.321042121248734,
      3.205361926941504,
      3.095016444268929,
      2.990138962447916,
      2.8908017953383296,
      2.7970175323229554,
      2.708740251262128,
      2.625858713066685,
      2.548224442436527,
      2.4756337891976194,
      2.4078429046768206,
      2.3445918673966397,
      2.285590105375649,
      2.2305236028618975,
      2.1790472478679854,
      2.1307727330817863,
      2.085325347461173,
      2.0423637963847847,
      2.001560809308887,
      1.9626200059493448,
      1.9252976134892923,
      1.8894040087687514,
      1.854789739881064,
      1.821332213059538,
      1.7889248849387245,
      1.7574788995044692,
      1.7269226933766848,
      1.6971974096783498,
      1.6682536216990098,
      1.6400488563201523,
      1.6125435467561124,
      1.5857014509839875,
      1.5594910739041232,
      1.533884515920472,
      1.508856660376219,
      1.484384593479085,
      1.4604471847540703,
      1.4370247833638519,
      1.414098993053182,
      1.3916525036361411,
      1.3696691432031904,
      1.3481343720905286,
      1.3270344855075815,
      1.3063566865750853,
      1.2860886810169383,
      1.266218391870778,
      1.246734044966557,
      1.2276242206115358,
      1.2088778810846126,
      1.190484382859919,
      1.1724334781908299,
      1.154715310461545,
      1.137320404747253,
      1.12024024136386,
      1.1034672472088656,
      1.0869942584800365,
      1.0708141987062978,
      1.0549199248742411,
      1.0393043349018711,
      1.0239604375217437,
      1.0088818389574183,
      0.9940633970597693,
      0.9794998790477663,
      0.9651858111257323,
      0.9511156230042993,
      0.9372837424085139,
      0.9236846572926298,
      0.9103129558495604,
      0.8971633508532427,
      0.8842310438116243,
      0.871512766152754,
      0.8590052654328921,
      0.8467048555795951,
      0.8346076054417452,
      0.8227094643377582,
      0.8110063449491347,
      0.7994941768305368,
      0.7881689417637447,
      0.7770266953739157,
      0.7660635808953904,
      0.7552758367064455,
      0.7446597992840033,
      0.7342119052032201,
      0.7239286901510372,
      0.7138067868329201,
      0.7038429233134247,
      0.6940339201527033,
      0.6843766875932322,
      0.674868222167726,
      0.665505604333643,
      0.6562859481450746,
      0.6472064178364589,
      0.6382642791918436,
      0.6294566995431606,
      0.6207804282017843,
      0.6122324093801211,
      0.6038098573550619,
      0.595510188939862,
      0.5873309764815418,
      0.5792699152386169,
      0.5713248005596152,
      0.5634935115826789,
      0.5557739996199865,
      0.5481642797329239,
      0.5406624243176157,
      0.5332665588509049,
      0.5259748576348081,
      0.5187855411676735,
      0.5116968738769149,
      0.5047071616576708,
      0.49781472747628663,
      0.49101788549761766,
      0.484315002082149,
      0.47770450023832506,
      0.47118485152324957,
      0.46475457029886097,
      0.4584122095198009,
      0.452156357360636,
      0.44598563501016647,
      0.4398986949715882,
      0.4338942192849521,
      0.42797091810634463,
      0.4221275288480684,
      0.4163628150445207,
      0.4106755655565155,
      0.4050645937356289,
      0.3995287366529834,
      0.3940668544458782,
      0.3886778296584461,
      0.3833605665526394,
      0.37811399062205336,
      0.37293704790300186,
      0.3678287042891087,
      0.3627878995325699,
      0.35781336136140085,
      0.35290382354119404,
      0.34805813793024093,
      0.3432752425081037,
      0.3385541390625283,
      0.3338938780339383,
      0.3292935479593035,
      0.32475226787794165,
      0.32026918240778274,
      0.3158434580514844,
      0.31147428045480763,
      0.3071608524060743,
      0.30290256953668115,
      0.29869918743998575,
      0.29455047834997355,
      0.29045646753857585,
      0.2864170612998241,
      0.28243193780728915,
      0.27850062636725037,
      0.2746225665293857,
      0.27079719914131883,
      0.26702397890671614,
      0.2633025513050795,
      0.25963268341138224,
      0.25601398065994063,
      0.2524459344506724,
      0.24892796339693227,
      0.24545944086000215,
      0.24203971356915005,
      0.2386681140694054,
      0.23534396895266857,
      0.2320666045328326,
      0.2288353504579507,
      0.22564954215230898,
      0.22250852213589165,
      0.2194116413734556,
      0.21635819556067537,
      0.2133474519576342,
      0.21037872272224867,
      0.2074513543330197,
      0.20456471935750375,
      0.20171821089684427,
      0.1989112387961006,
      0.1961432269192887,
      0.1934136114929669,
      0.19072183957066208,
      0.18806736831295592,
      0.18544966429249832,
      0.18286820280867283,
      0.18032246780859273,
      0.17781195137073824,
      0.17533615353887766,
      0.17289458207384106,
      0.1704867522365211,
      0.16811218671066314,
      0.1657704153911109,
      0.1634609753053703,
      0.1611834104322867,
      0.15893727158992146,
      0.15672211629058064,
      0.1545375086962201,
      0.15238301930529327,
      0.15025822521080445,
      0.14816270966380699,
      0.14609606190838054,
      0.1440578774088707,
      0.1420477575603805,
      0.14006530955624114,
      0.1381101464185626,
      0.1361818868232335,
      0.13428015498609194,
      0.13240458053986243,
      0.13055479863744204,
      0.12873044968382866,
      0.12693117912839352,
      0.12515663778152109,
      0.12340648140356099,
      0.12168037070999255,
      0.11997797130276336,
      0.11829895362982135,
      0.11664299296661917,
      0.11500976905658138,
      0.11339896642099694,
      0.11181027404185197,
      0.11024338525029542,
      0.10869799783886255,
      0.10717381387018744,
      0.10567053961442892,
      0.10418788561529428,
      0.10272556644544258,
      0.10128330085745686,
      0.09986081153508367,
      0.09845782501686244,
      0.09707407176649255,
      0.09570928612269579,
      0.09436320610980581,
      0.09303557342645935,
      0.09172613351687306,
      0.09043463529217384,
      0.08916083132233538,
      0.08790447747409619,
      0.08666533323501814,
      0.08544316133126924,
      0.08423772784662141,
      0.0830488022642926,
      0.08187615719617844,
      0.080719568460721,
      0.07957881498729699,
      0.07845367882403853,
      0.07734394508372347,
      0.07624940194208298,
      0.07516984041471488,
      0.07410505448156936,
      0.07305484098971168,
      0.07201899948712402,
      0.07099733246703556,
      0.06998964526355539,
      0.06899574578588018,
      0.06801544461485874,
      0.06704855493152069,
      0.06609489254063916,
      0.06515427587545983,
      0.06422652581492168,
      0.06331146575162541,
      0.062408921490914156,
      0.061518721289371255,
      0.060640695762331116,
      0.05977467784155007,
      0.0589205029036463,
      0.05807800858341955,
      0.05724703466524049,
      0.05642742321813132,
      0.055619018430786274,
      0.05482166664829128,
      0.05403521636323555,
      0.053259518122314456,
      0.052494424577687576,
      0.051739790364798074,
      0.05099547223586085,
      0.05026132887038688,
      0.049537220833064305,
      0.04882301061825555,
      0.04811856272719794,
      0.04742374346977011,
      0.04673842090355186,
      0.04606246505610424,
      0.04539574770322965,
      0.044738142351109005,
      0.04408952412301623,
      0.04344977010713788,
      0.042818759021733765,
      0.042196371217350585,
      0.04158248861516195,
      0.04097699471819188,
      0.040379774685686536,
      0.039790715331273104,
      0.039209705105279866,
      0.03863663384447385,
      0.03807139293143797,
      0.03751387515728138,
      0.03696397497508315,
      0.03642158812009908,
      0.035886611778938815,
      0.03535894466227513,
      0.03483848680390315,
      0.03432513965092531,
      0.033818805850823884,
      0.03331938946325977,
      0.03282679588758001,
      0.03234093184018109,
      0.03186170534649163,
      0.03138902569028548,
      0.03092280331690091,
      0.030462949922412823,
      0.030009378397906194,
      0.029562002953586904,
      0.029120738805652698,
      0.028685502369753018,
      0.02825621137314159,
      0.027832784507500225,
      0.0274151415627749,
      0.027003203482420798,
      0.026596892334101674,
      0.026196131151095065,
      0.02580084406380912,
      0.025410956352863053,
      0.025026394156740087,
      0.024647084634409323,
      0.024272956036464646,
      0.023903937545010773,
      0.023539959410305095,
      0.023180952741090315,
      0.022826849610160876,
      0.022477583024077204,
      0.02213308684504654,
      0.021793295958248037,
      0.021458146563562878,
      0.021127578550018088,
      0.020801532806313004,
      0.020479949921082763,
      0.02016277034618038,
      0.019849934875855256,
      0.019541384688218588,
      0.019237061655612418,
      0.01893690816746331,
      0.018640867318274756,
      0.018348882926232792,
      0.018060899421313538,
      0.017776862021742185,
      0.017496716754739773,
      0.0172204103148662,
      0.016947890071490994,
      0.016679104167720726,
      0.01641400150799189,
      0.016152531513245354,
      0.015894644329737695,
      0.015640290958047896,
      0.015389423016459545,
      0.015141992659219668,
      0.01489795268182923,
      0.014657256672978963,
      0.014419858908807622,
      0.014185714020994548,
      0.013954777480537832,
      0.013727005391124305,
      0.013502354393421998,
      0.013280781628597024,
      0.013062245002755143,
      0.012846702837361423,
      0.01263411403021953,
      0.012424438091458302,
      0.012217635175549468,
      0.012013666020306067,
      0.011812491723106834,
      0.01161407402069898,
      0.011418375062768701,
      0.011225357588003452,
      0.011034982094831629,
      0.010847199432917773,
      0.010661962303874855,
      0.010479227986869663,
      0.010298957051621389,
      0.01012111244698271,
      0.009945658980341495,
      0.009772562734379733,
      0.009601790819533223,
      0.009433311149509675,
      0.009267092461805753,
      0.009103104055021643,
      0.00894131566847838,
      0.008781697617935638,
      0.00862422071716621,
      0.008468856093582897,
      0.008315575367587933,
      0.008164350553850692,
      0.008015154046838894,
      0.007867958646157932,
      0.007722737462544519,
      0.007579464028546831,
      0.007438112156578621,
      0.007298656090536422,
      0.007161070417523709,
      0.0070253300251571366,
      0.006891410194066378,
      0.006759286507117163,
      0.0066289348363461975,
      0.006500331394487375,
      0.006373452768981011,
      0.006248275887156583,
      0.00612477787488384,
      0.006002936176693804,
      0.0058827286263325234,
      0.005764133270557726,
      0.00564712858846761,
      0.0055316931652240105,
      0.005417805938391476,
      0.00530544613439493,
      0.005194593258004423,
      0.005085227119419574,
      0.0049773277421806495,
      0.004870875520152376,
      0.004765851057906888,
      0.004662235189908698,
      0.00456000901989532,
      0.0044591538530210605,
      0.004359651281468183,
      0.004261483296706908,
      0.004164631951544138,
      0.0040690795315629176,
      0.003974808638157407,
      0.003881802145658909,
      0.0037900429941441073,
      0.0036995131623514237,
      0.0036101938510378156,
      0.003522067349336742,
      0.003435116608772357,
      0.003349325119226513,
      0.003264676907854527,
      0.0031811563426029977,
      0.0030987481536867275,
      0.0030174373355117746,
      0.002937209132193398,
      0.002858049157867765,
      0.002779943072823377,
      0.002702876832924957,
      0.002626836545092375,
      0.002551808578282499,
      0.00247777936364552
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567263042495242,
      10.338486823131566,
      10.102559667453907,
      9.86230009457329,
      9.62002715140124,
      9.377774339133772,
      9.137290221939303,
      8.900006825263793,
      8.66708535412666,
      8.439412499171473,
      8.217600936527624,
      8.002003160657326,
      7.79273693960761,
      7.589719719541719,
      7.39270749413058,
      7.201332228098915,
      7.015139112183379,
      6.833619466730962,
      6.656243614358885,
      6.482486664280299,
      6.311844360029537,
      6.143853654819633,
      5.9781099902129275,
      5.814272356457571,
      5.652070423922274,
      5.491308342163091,
      5.331862377938354,
      5.17368462153414,
      5.0167999334380475,
      4.861307832149931,
      4.707366509650717,
      4.555188652739006,
      4.405036761924844,
      4.257222111376755,
      4.11209945998164,
      3.9700712919092442,
      3.8315529952706595,
      3.6969444505545175,
      3.5666185976436138,
      3.44091153888894,
      3.3201145710048547,
      3.204468391889832,
      3.094159774365035,
      2.9893213717534315,
      2.890024679064602,
      2.7962815294256225,
      2.708045031129221,
      2.625202972515939,
      2.5476062574383445,
      2.4750504852020905,
      2.407291743220608,
      2.344069876988739,
      2.2850940766273062,
      2.230050116845132,
      2.1785923853941163,
      2.1303324628620155,
      2.084895965229751,
      2.0419418891953343,
      2.001143276410418,
      1.9622043613253548,
      1.9248820264410438,
      1.888987130554761,
      1.854370548216326,
      1.8209098906933823,
      1.7884987351473398,
      1.7570484559680921,
      1.7264876544264207,
      1.6967575921493014,
      1.6678089268314047,
      1.6395992577039575,
      1.6120890785450348,
      1.5852421671168482,
      1.5590270429017465,
      1.5334158161234366,
      1.508383375933733,
      1.4839068117521326,
      1.459964995488736,
      1.4365382771922406,
      1.4136082604895457,
      1.3911576349219519,
      1.3691702390182383,
      1.3476315483043615,
      1.3265278629145727,
      1.3058464020400886,
      1.2855748532385536,
      1.2657011262802522,
      1.2462134379254302,
      1.2271003612800664,
      1.2083508536551837,
      1.1899542673230927,
      1.1719003516672704,
      1.1541792474205044,
      1.1367814778401562,
      1.119698552327227,
      1.1029229067961914,
      1.0864473754853452,
      1.0702648679714242,
      1.054368231308938,
      1.038750356320806,
      1.0234042463018762,
      1.0083236663835327,
      0.9935034887259214,
      0.9789384191253301,
      0.9646229420469433,
      0.9505514582503507,
      0.9367183752710349,
      0.9231181671489379,
      0.9097454126740758,
      0.8965948180240758,
      0.8836617632173799,
      0.8709430960254133,
      0.8584354576147349,
      0.8461350904217927,
      0.8340380152220878,
      0.8221401483664128,
      0.8104373799557043,
      0.7989256244367109,
      0.7876008532100547,
      0.776459115038967,
      0.7654965485140722,
      0.7547093883427061,
      0.744093968791835,
      0.7336467245503897,
      0.7233641898287356,
      0.7132429967839131,
      0.7032798725507209,
      0.6934716370518889,
      0.6838151998670865,
      0.6743075574139475,
      0.6649457895036314,
      0.6557270074491104,
      0.6466483751854969,
      0.6377071588468701,
      0.6289005584551083,
      0.6202253291931336,
      0.6116784028923348,
      0.6032569852018143,
      0.594958486676843,
      0.5867804754177045,
      0.578720643891867,
      0.5707767852309151,
      0.5629467769665573,
      0.5552285691479656,
      0.5476201759312032,
      0.5401196692822211,
      0.5327251739000205,
      0.5254348636131936,
      0.5182469583877042,
      0.511159721948764,
      0.5041714598968549,
      0.49728051776181564,
      0.4904852656508441,
      0.48378405932635676,
      0.47717529770815087,
      0.47065743589642894,
      0.46422897684774217,
      0.45788846561719787,
      0.4516344850885706,
      0.44546565277825967,
      0.43938061855801747,
      0.43337806245625354,
      0.4274566931739461,
      0.4216152472154362,
      0.41585248744088116,
      0.4101672019584469,
      0.40455820345944615,
      0.39902432861841497,
      0.3935644371544614,
      0.38817741121703686,
      0.38286215479324015,
      0.37761759303864295,
      0.372442671507079,
      0.3673363560449883,
      0.3622975751911533,
      0.35732504110622926,
      0.35241749618479173,
      0.347573798084386,
      0.3427928886781869,
      0.33807377226151347,
      0.33341550100033823,
      0.3288171644672638,
      0.32427788236672717,
      0.31979679969960373,
      0.31537308305553186,
      0.3110059180598428,
      0.30669450749739413,
      0.3024383726438801,
      0.29823728867714366,
      0.29409107598151574,
      0.28999977021041323,
      0.28596320445730605,
      0.2819810078385046,
      0.2780526766031538,
      0.2741776296834184,
      0.2703553086126272,
      0.2665851640404043,
      0.26286685892974226,
      0.2592001488839793,
      0.2555846217144642,
      0.2520197569548198,
      0.24850496517892262,
      0.24503961439674377,
      0.24162304758346298,
      0.238254594856322,
      0.23493358110943113,
      0.23165933152794602,
      0.22843117499050025,
      0.2252484463279907,
      0.222110487893895,
      0.219016646650673,
      0.21596620992516843,
      0.21295844781075138,
      0.20999267564158036,
      0.20706824200267204,
      0.20418452092472622,
      0.2013409065490645,
      0.19853680935325885,
      0.19577165372011063,
      0.19304487609082396,
      0.19035592382341265,
      0.18770425415464465,
      0.18508933372064032,
      0.18251063797226053,
      0.1799676509304278,
      0.1774598646688438,
      0.1749867791978841,
      0.17254790234236617,
      0.1701427494984417,
      0.16777084332059738,
      0.16543171373818719,
      0.1631248978441805,
      0.16084993954793314,
      0.1586063897803316,
      0.15639380607457337,
      0.15421175259097986,
      0.1520597999560052,
      0.14993752519546297,
      0.14784451151347958,
      0.14578034833661005,
      0.1437446311529868,
      0.14173696137518718,
      0.1397569462261459,
      0.13780419875655275,
      0.13587833766302904,
      0.13397898707202546,
      0.13210577681051594,
      0.13025834200045044,
      0.12843632307638947,
      0.12663936566029393,
      0.12486712051561484,
      0.1231192436126729,
      0.1213953957527358,
      0.11969524250563211,
      0.118018454321545,
      0.11636470644205447,
      0.11473367873717064,
      0.11312505581839771,
      0.11153852663253233,
      0.10997378453403074,
      0.10843052741604838,
      0.1069084575257307,
      0.10540728122407077,
      0.10392670898170132,
      0.1024664555348608,
      0.10102623957850775,
      0.09960578390524805,
      0.09820481516993107,
      0.0968230639159132,
      0.09546026445486548,
      0.09411615488717572,
      0.09279047693785335,
      0.09148297609145294,
      0.09019340147874892,
      0.08892150561106042,
      0.08766704464166002,
      0.08642977794599498,
      0.08520946844532719,
      0.08400588230320587,
      0.08281878903095923,
      0.0816479612743517,
      0.08049317492298967,
      0.07935420896722964,
      0.07823084557629265,
      0.07712286991706149,
      0.07603007021607444,
      0.07495223758740377,
      0.07388916600788469,
      0.07284065249981078,
      0.07180649677757137,
      0.0707865013844254,
      0.06978047164851447,
      0.06878821551247995,
      0.06780954363646675,
      0.06684426934585407,
      0.0658922085153033,
      0.06495317966294248,
      0.06402700380585856,
      0.06311350434717479,
      0.06221250718195196,
      0.06132384071993314,
      0.06044733568234832,
      0.059582825028242165,
      0.05873014410826138,
      0.0578891306685354,
      0.05705962464093728,
      0.05624146804623907,
      0.055434505166117795,
      0.054638582507143985,
      0.053853548550552466,
      0.053079254050180734,
      0.052315551766302246,
      0.05156229644884033,
      0.050819344834600176,
      0.05008655572795444,
      0.04936378981602938,
      0.048650909688281486,
      0.04794777985674313,
      0.04725426672631321,
      0.04657023842924095,
      0.0458955650031805,
      0.04523011828698785,
      0.04457377188400612,
      0.0439264012273728,
      0.04328788331195098,
      0.0426580969411414,
      0.042036922503545834,
      0.04142424203556043,
      0.04081993909276077,
      0.040223899025218626,
      0.03963600877590005,
      0.039056156694745804,
      0.038484232762103866,
      0.037920128474894406,
      0.037363736808624516,
      0.0368149520927953,
      0.03627367017781624,
      0.03573978838814865,
      0.03521320546530522,
      0.034693821487845944,
      0.03418153798718437,
      0.03367625784624926,
      0.03317788517506556,
      0.03268632540701973,
      0.03220148530805859,
      0.031723272962588395,
      0.03125159771026652,
      0.03078637010030535,
      0.030327501853781455,
      0.02987490595448209,
      0.029428496629915007,
      0.02898818932153511,
      0.028553900554723274,
      0.028125547977969137,
      0.02770305043538163,
      0.02728632782757335,
      0.026875301167257164,
      0.026469892480240568,
      0.026070024945766396,
      0.02567562279303979,
      0.025286611291257192,
      0.024902916762438082,
      0.024524466445579242,
      0.024151188651188607,
      0.02378301262043289,
      0.023419868566189536,
      0.023061687775391554,
      0.022708402244270696,
      0.02235994504863043,
      0.022016250215056748,
      0.021677252647205974,
      0.021342888412982965,
      0.021013097089365197,
      0.02068781984827819,
      0.02036699743561493,
      0.0200505705372424,
      0.019738480144536268,
      0.019430667545887872,
      0.019127074592749472,
      0.018827643751680556,
      0.018532318184299842,
      0.01824104179162327,
      0.01795375917874927,
      0.01767041568581076,
      0.017390957262798375,
      0.01711533063312001,
      0.016843483224581682,
      0.01657536332603402,
      0.016310919801779313,
      0.01605010223487689,
      0.015792860920121977,
      0.015539146764667788,
      0.015288911381766085,
      0.01504210706645491,
      0.014798686786667037,
      0.01455860412595707,
      0.014321813356078855,
      0.014088269391100356,
      0.013857927591482615,
      0.013630744104438187,
      0.013406675532828115,
      0.013185679178379177,
      0.012967712976206951,
      0.012752735297779446,
      0.012540705264818116,
      0.012331582499953355,
      0.012125327063748229,
      0.01192189950784471,
      0.011721261095672118,
      0.011523373605844675,
      0.011328199315855284,
      0.011135701051354578,
      0.010945842078368963,
      0.010758586263840651,
      0.01057389788287375,
      0.010391738594594198,
      0.010212060793287884,
      0.01003481957952254,
      0.009859974229463752,
      0.009687487081230187,
      0.009517322801967432,
      0.009349447708635758,
      0.009183829368725669,
      0.009020436320382111,
      0.008859237974577532,
      0.00870020429135005,
      0.008543305757536314,
      0.008388513487120764,
      0.008235799082479981,
      0.008085134567486343,
      0.007936492265006017,
      0.007789845044538777,
      0.007645166056611751,
      0.007502428875631036,
      0.0073616074215923895,
      0.007222675851255789,
      0.007085608895788499,
      0.006950381557933915,
      0.0068169690712072545,
      0.006685347114416728,
      0.006555491620766001,
      0.006427378899658084,
      0.006300985499110106,
      0.006176288387408939,
      0.006053264869013961,
      0.0059318923936308495,
      0.005812148868534697,
      0.005694012533579748,
      0.005577461640514735,
      0.005462474857500332,
      0.005349031185276665,
      0.0052371099700716855,
      0.005126690899078277,
      0.005017753831505767,
      0.004910278815030277,
      0.004804246217389636,
      0.004699636687416483,
      0.004596431079062587,
      0.0044946105163431735,
      0.004394156344591925,
      0.0042950503116240876,
      0.0041972743498212345,
      0.004100810676977024,
      0.004005641726505663,
      0.003911750053146098,
      0.0038191184042021104,
      0.0037277299191727595,
      0.0036375678597645273,
      0.0035486158562280166,
      0.003460857652004952,
      0.0033742772373144578,
      0.0032888587541830064,
      0.0032045866508136323,
      0.00312144551846223,
      0.003039420177477355,
      0.0029584956749484745,
      0.0028786572130957318,
      0.0027998902885821267,
      0.002722180432338411,
      0.0026455135402120885,
      0.002569875569464742,
      0.0024952527064732942,
      0.0024216313443924647
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56725514230037,
      10.338460584348837,
      10.102507151333162,
      9.862216061083476,
      9.619908069366678,
      9.377617943876125,
      9.137095309105586,
      8.899773011221686,
      8.666812774923748,
      8.439101615185269,
      8.217252364472616,
      8.001617542925452,
      7.792314848648743,
      7.58926160332772,
      7.392213641563778,
      7.200802761784638,
      7.014574010362069,
      6.833018492639647,
      6.655606489625849,
      6.481813257896406,
      6.311134640104203,
      6.143107783428232,
      5.977328470182873,
      5.81345597443913,
      5.651220265789893,
      5.490425841952963,
      5.3309493665432335,
      5.172743393104218,
      5.01583324501144,
      4.860318803378369,
      4.706358543299426,
      4.554165758657166,
      4.404003397690484,
      4.256183071214728,
      4.111060067537283,
      3.9690374929084378,
      3.8305305406291668,
      3.6959387958354415,
      3.565634809158415,
      3.439954210396585,
      3.3191877565090375,
      3.2035755579961873,
      3.093303764727298,
      2.9885043952776327,
      2.889248127275256,
      2.7955460391101172,
      2.707350151265434,
      2.6245474180259203,
      2.546988121485761,
      2.4744671114065246,
      2.4067404091343554,
      2.3435476265353747,
      2.284597715695124,
      2.229576241476956,
      2.1781370921306262,
      2.129891734543429,
      2.08446610960123,
      2.0415194955110736,
      2.0007252500821693,
      1.9617882274560272,
      1.924465962090708,
      1.888569793174242,
      1.8539509199117585,
      1.8204871576167088,
      1.7880722029399683,
      1.7566176598203278,
      1.726052294143856,
      1.6963174849444793,
      1.6673639740973862,
      1.6391494322548983,
      1.6116344129910207,
      1.5847827156363863,
      1.5585628735029926,
      1.5329470059399783,
      1.5079100084917971,
      1.4834289748379468,
      1.459482778497101,
      1.4360517699385729,
      1.4131175528218898,
      1.3906628161133197,
      1.3686714084314735,
      1.3471288212665353,
      1.3260213610156442,
      1.3053362618421787,
      1.2850611926538453,
      1.2651840501344904,
      1.2456930417008325,
      1.2265767339529832,
      1.2078240789149826,
      1.1894244251039465,
      1.1713675189232493,
      1.1536434987030655,
      1.1362428853202837,
      1.1191572170056316,
      1.1023789390978782,
      1.0859008837760833,
      1.0697159468212294,
      1.0538169653098268,
      1.0381968231803165,
      1.0228485183484515,
      1.007765974710895,
      0.9929440782397366,
      0.9783774743896794,
      0.9640606054436346,
      0.9499878428706051,
      0.9361535745427485,
      0.9225522606553016,
      0.9091784700561305,
      0.8960269022455654,
      0.8830931873288521,
      0.870374192663535,
      0.857866462188856,
      0.8455661723473088,
      0.8334692991254649,
      0.8215717285113889,
      0.8098693297027247,
      0.7983580028924481,
      0.7870337100506061,
      0.7758924933124746,
      0.7649304864733293,
      0.7541439212538996,
      0.7435291297314295,
      0.7330825451083552,
      0.7228007004909972,
      0.712680226995642,
      0.7027178510963312,
      0.6929103921939223,
      0.6832547593710399,
      0.6737479484852757,
      0.6643870379501353,
      0.6551691371081164,
      0.6460914103131296,
      0.6371511240812553,
      0.6283454965484988,
      0.619671308431969,
      0.6111254769435766,
      0.6027051977707356,
      0.5944078749249484,
      0.5862310718517242,
      0.5781724775684588,
      0.5702298829172547,
      0.5624011637012758,
      0.5546842687382706,
      0.5470772112094312,
      0.5395780619962112,
      0.5321849452294287,
      0.5248960342443851,
      0.5177095486825274,
      0.5106237516986547,
      0.5036369483230088,
      0.4967474835331668,
      0.48995374070327924,
      0.4832541332395209,
      0.47664706283936176,
      0.470130958506364,
      0.46370430550254715,
      0.4573656369026637,
      0.4511135272679381,
      0.44494658819490196,
      0.4388634655804332,
      0.4328628367171243,
      0.42694340833685485,
      0.4211039152465151,
      0.4153431192514937,
      0.40965980778495,
      0.40405279293092583,
      0.39852091069079737,
      0.3930630204704878,
      0.3876780039008312,
      0.38236476454485024,
      0.3771222272992242,
      0.3719493374918294,
      0.3668450605427608,
      0.361808313881654,
      0.35683779410323513,
      0.3519322521812995,
      0.34709055157313506,
      0.3423116379180715,
      0.33759451817026115,
      0.33293824620658774,
      0.32834191248049577,
      0.3238046374215357,
      0.31932556645988236,
      0.3149038664323321,
      0.3105387229126827,
      0.30622938337235694,
      0.30197547444178147,
      0.2977767447853075,
      0.2936330935120214,
      0.2895445367439307,
      0.2855108414162835,
      0.28153159202562233,
      0.27760625523635724,
      0.27373423830541455,
      0.2699149808727647,
      0.2661479355474251,
      0.26243277837771284,
      0.2587692428933683,
      0.2551569020922765,
      0.25159522562711517,
      0.248083617277859,
      0.24462144040369216,
      0.24120803494371018,
      0.23784272895690994,
      0.23452484599289297,
      0.23125371021707597,
      0.22802864999829067,
      0.22484899970588948,
      0.22171410141620995,
      0.21862329660479599,
      0.2155758651160449,
      0.21257108145995024,
      0.20960826377399056,
      0.2066867626329217,
      0.20380595344024616,
      0.20096523126248902,
      0.19816400719686514,
      0.19540170596670123,
      0.19267776434172487,
      0.18999162988201707,
      0.18734276000153216,
      0.184730621398965,
      0.1821546896249708,
      0.17961444867126558,
      0.17710939071960752,
      0.17463901589766856,
      0.1722028319910711,
      0.16980035434556617,
      0.1674311056798414,
      0.16509461601891479,
      0.16279042240430572,
      0.16051806883221553,
      0.15827710625423164,
      0.15606709223409662,
      0.15388759092733537,
      0.1517381730086535,
      0.14961841551542074,
      0.14752790163234727,
      0.1454662208306129,
      0.14343296865543773,
      0.14142774664583524,
      0.13945016207416083,
      0.13749982800776203,
      0.1355763631074324,
      0.13367939170981782,
      0.13180854362108915,
      0.12996345399100018,
      0.12814376324736296,
      0.12634911711018335,
      0.1245791663676796,
      0.12283356694783204,
      0.12111197966251856,
      0.11941407025946203,
      0.1177395092797525,
      0.11608797194344476,
      0.11445913824076091,
      0.11285269273332499,
      0.11126832449129133,
      0.10970572702555412,
      0.10816459822857681,
      0.10664464023369652,
      0.1051455595941243,
      0.10366706688489132,
      0.10220887689711092,
      0.10077070838177395,
      0.09935228415704106,
      0.09795333091727612,
      0.09657357927170579,
      0.09521276363720214,
      0.09387062213786355,
      0.09254689665724548,
      0.09124133280810266,
      0.08995367967330017,
      0.08868368983865009,
      0.08743111948879329,
      0.08619572810229859,
      0.08497727863527345,
      0.08377553741835435,
      0.08259027395723924,
      0.08142126103733736,
      0.08026827460134524,
      0.0791310937525966,
      0.07800950062323672,
      0.0769032805780636,
      0.07581222189198861,
      0.07473611571176911,
      0.07367475619019602,
      0.07262794031949665,
      0.07159546794349995,
      0.07057714156714723,
      0.06957276666231094,
      0.06858215130041145,
      0.0676051062147757,
      0.06664144478017195,
      0.06569098306556,
      0.06475353963316136,
      0.06382893546405975,
      0.0629169940645428,
      0.0620175414896328,
      0.06113040611488845,
      0.060255418808701305,
      0.05939241260103664,
      0.0585412230223676,
      0.05770168773573669,
      0.05687364679120739,
      0.05605694241167303,
      0.05525141896831234,
      0.05445692295132436,
      0.05367330302489824,
      0.05290041001095255,
      0.05213809670590268,
      0.051386217886173806,
      0.05064463041044111,
      0.04991319312589221,
      0.04919176679160442,
      0.04848021418121052,
      0.04777839983307007,
      0.04708619023751663,
      0.04640345362336531,
      0.04573006013980755,
      0.04506588171122848,
      0.0444107920484194,
      0.04376466650116105,
      0.043127382289275706,
      0.0424988181712809,
      0.041878854656645766,
      0.04126737390339677,
      0.04066425968559028,
      0.04006939736067508,
      0.03948267385887547,
      0.03890397761154573,
      0.03833319864789997,
      0.03777022859569651,
      0.03721496047521785,
      0.03666728874331383,
      0.036127109394079565,
      0.03559431978213472,
      0.035068818699457285,
      0.034550506311182436,
      0.03403928425599019,
      0.03353505540527482,
      0.033037724012004055,
      0.03254719556271039,
      0.032063376965185256,
      0.03158617639472218,
      0.03111550322811898,
      0.030651268077806947,
      0.03019338278907494,
      0.02974176046798603,
      0.02929631546291812,
      0.028856963195194804,
      0.02842362018462853,
      0.027996204190907228,
      0.02757463407633654,
      0.027158829914786412,
      0.026748712806378968,
      0.026344204759653593,
      0.02594522904188021,
      0.025551709980349578,
      0.02516357295286187,
      0.024780744229078007,
      0.024403151248349436,
      0.02403072236739965,
      0.02366338678354653,
      0.023301074868259827,
      0.022943717907155388,
      0.022591248206506636,
      0.022243598847122154,
      0.02190070380405789,
      0.021562498158932054,
      0.02122891762908016,
      0.020899901445205687,
      0.02057539107698886,
      0.020255327446741193,
      0.019939651486838832,
      0.019628304232831212,
      0.01932122712666505,
      0.01901836220072582,
      0.01871965198426011,
      0.018425039863480302,
      0.01813446965600134,
      0.017847886020490467,
      0.017565234405202964,
      0.017286460846801206,
      0.01701151213419488,
      0.016740335803607686,
      0.016472880104590953,
      0.016209093975268863,
      0.015948927077631146,
      0.01569232972726985,
      0.015439252972228345,
      0.015189648502750893,
      0.014943468652720122,
      0.01470066643546184,
      0.014461195518640908,
      0.014225010207655608,
      0.013992065349385954,
      0.013762316543117752,
      0.013535719966303143,
      0.013312232260081755,
      0.013091810766377748,
      0.012874413353957108,
      0.012659998635172042,
      0.012448525707933497,
      0.01223995412275613,
      0.012034244073818704,
      0.011831356338244232,
      0.011631252173074771,
      0.0114338934115831,
      0.011239242217875495,
      0.01104726157480769,
      0.01085791485223866,
      0.010671165931540267,
      0.01048697914644202,
      0.01030531936345074,
      0.010126151839192273,
      0.009949442421199797,
      0.00977515494710103,
      0.0096032443838564,
      0.009433667319958256,
      0.009266384503213338,
      0.009101359713535996,
      0.008938559124905284,
      0.008777950307444202,
      0.008619502074977211,
      0.008463184254531853,
      0.008308967466124945,
      0.008156822943926634,
      0.008006722410664321,
      0.007858638246543582,
      0.007712543228228115,
      0.007568410466518764,
      0.007426213587199551,
      0.007285926455499081,
      0.007147523404625888,
      0.007010979115705449,
      0.006876268639377907,
      0.006743367304324701,
      0.0066122508175450794,
      0.006482895219832077,
      0.006355276861786898,
      0.006229372400104888,
      0.006105158775886374,
      0.0059826133722191265,
      0.005861713753559778,
      0.00574243778137889,
      0.005624763622646431,
      0.005508669765879573,
      0.005394135070334369,
      0.0052811385111806485,
      0.00516965943435853,
      0.0050596774561187784,
      0.004951172548512183,
      0.004844124795472275,
      0.004738514651650571,
      0.004634322795805281,
      0.004531530226768471,
      0.004430118099685926,
      0.004330067842876638,
      0.004231361148727994,
      0.004133980047956204,
      0.00403790669272384,
      0.00394312355392307,
      0.0038496133713192575,
      0.0037573589776409596,
      0.003666343447655907,
      0.0035765502096230927,
      0.0034879629294833196,
      0.0034005653703534063,
      0.0033143414941860833,
      0.003229275494196973,
      0.003145351961981654,
      0.003062555578687181,
      0.002980871061345293,
      0.002900283452857994,
      0.0028207780567034496,
      0.0027423404239433216,
      0.0026649562265027567,
      0.0025886112071374506,
      0.0025132914927069433,
      0.0024389832277109036,
      0.0023656729590294198
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567247254412514,
      10.338434384397118,
      10.102454708253692,
      9.862132137968336,
      9.619789135269583,
      9.377461731297066,
      9.136900611649978,
      8.899539443569449,
      8.666540471394978,
      8.43879103395649,
      8.216904120019036,
      8.001232278215964,
      7.791893136425362,
      7.588803892080166,
      7.391720219743682,
      7.200273752381654,
      7.014009390767668,
      6.832418027123774,
      6.654969884579643,
      6.481140372300123,
      6.310425447740731,
      6.142362450168764,
      5.976547501302346,
      5.812640160338471,
      5.650370696072493,
      5.489543953018718,
      5.330036991663005,
      5.171802828293264,
      5.014867248515254,
      4.8593304963480035,
      4.705351329036822,
      4.553143644657745,
      4.4029708384772395,
      4.255144856912575,
      4.110021517646207,
      3.9680045475500796,
      3.8295089451277216,
      3.6949339994533505,
      3.5646518715365034,
      3.4389977176161013,
      3.318261755317894,
      3.2026835072777127,
      3.09244850130512,
      2.987688122054483,
      2.8884722300650054,
      2.7948111502061255,
      2.7066557783410983,
      2.6238922817361177,
      2.5463703203124854,
      2.473883995177732,
      2.4061892624261128,
      2.343025501459264,
      2.2841014270591575,
      2.229102394144182,
      2.177681791290072,
      2.129450971425134,
      2.084036201015413,
      2.0410970124036374,
      2.000307093660142,
      1.9613719401842886,
      1.9240497340814617,
      1.8881522914563214,
      1.8535311336702316,
      1.820064278031262,
      1.787645538878216,
      1.7561867486844018,
      1.7256168368364238,
      1.6958772996808527,
      1.6669189623689937,
      1.6386995673459246,
      1.6111797283579188,
      1.5843232648540828,
      1.5580987244638171,
      1.532478236052524,
      1.5074367010372776,
      1.482951216180772,
      1.4590006575737267,
      1.435565376615458,
      1.4126269770028521,
      1.3901681469320417,
      1.3681727456828836,
      1.3466262791995112,
      1.325515059804328,
      1.304826337568685,
      1.2845477632817328,
      1.264667220820663,
      1.2451729080329215,
      1.2260533845352217,
      1.207297597046921,
      1.1888948900086707,
      1.1708350069307347,
      1.1531080839301286,
      1.1357046400502757,
      1.1186162423916972,
      1.1018353454031578,
      1.0853547795532992,
      1.0691674263129716,
      1.053266112980176,
      1.0376437161466943,
      1.0222932283465493,
      1.0072087324925743,
      0.9923851287738904,
      0.9778170012849545,
      0.9634987507359233,
      0.9494247198128706,
      0.9355892761647561,
      0.9219868663457059,
      0.9086120496178322,
      0.8954595184998061,
      0.8825251536432969,
      0.8698058415884714,
      0.8572980288482634,
      0.8449978257235767,
      0.8329011633655123,
      0.8210038973013678,
      0.8093018761838962,
      0.7977909863621414,
      0.7864671799198463,
      0.7753264925697648,
      0.7643650537972884,
      0.7535790918053983,
      0.7429649366115156,
      0.7325190200106177,
      0.7222378737283754,
      0.712118127919132,
      0.7021565083223683,
      0.6923498339965223,
      0.6826950135285264,
      0.6731890422935812,
      0.6638289969785595,
      0.6546119848290552,
      0.6455351709478602,
      0.6365958221561125,
      0.6277911745245024,
      0.6191180344797865,
      0.6105733045606404,
      0.6021541709724949,
      0.5938580309260625,
      0.5856824431330474,
      0.5776250932085241,
      0.5696837696513247,
      0.5618563464052099,
      0.5541407711285047,
      0.5465350558193893,
      0.5390372706507408,
      0.5316455390773909,
      0.524358033731765,
      0.5171729736179753,
      0.5100886217179681,
      0.5031032826341697,
      0.49621530093401245,
      0.489423059540781,
      0.4827249784317417,
      0.4761195132672618,
      0.46960511134834776,
      0.46318023039652173,
      0.45684338453508266,
      0.4505931354206223,
      0.4444280858343141,
      0.438346875359613,
      0.43234817706910134,
      0.4264306948110132,
      0.42059316126980395,
      0.4148343365725659,
      0.4091530070097194,
      0.40354798384573615,
      0.39801810255321696,
      0.39256222186100176,
      0.3871792231282402,
      0.3818680093084414,
      0.3766275047264784,
      0.37145665447580356,
      0.366354423616734,
      0.361319713724122,
      0.3563512127210111,
      0.3514476794491006,
      0.34660798273974514,
      0.3418310717914417,
      0.3371159559997686,
      0.3324616907103463,
      0.32786736747335454,
      0.32333210726614264,
      0.3188550557331974,
      0.3144353798318126,
      0.3100722651224394,
      0.30576504309665986,
      0.30151341294437567,
      0.2973171133468101,
      0.2931761072096963,
      0.28909035548794126,
      0.2850595679057344,
      0.2810832905076212,
      0.27716096490342845,
      0.27329199025899625,
      0.2694758051539163,
      0.2657118642760277,
      0.2619998579083623,
      0.25833949822739277,
      0.2547303440678351,
      0.2511718553899933,
      0.2476634294923508,
      0.24420442531752623,
      0.24079417982349788,
      0.23743201895068902,
      0.23411726489335724,
      0.23084924102701268,
      0.22762727503321215,
      0.2244507009845924,
      0.22131886062863584,
      0.21823109007976907,
      0.21518666176226695,
      0.21218485447428378,
      0.20922498923151206,
      0.20630641857150814,
      0.20342851923089408,
      0.20059068712326306,
      0.1977923339375057,
      0.1950328848743516,
      0.19231177702897487,
      0.18962845813495846,
      0.18698238581815135,
      0.18437302679791878,
      0.18179985670826082,
      0.17926235959665654,
      0.17676002760881307,
      0.17429236092171863,
      0.17185886740357237,
      0.16945906244573025,
      0.16709246878721068,
      0.16475861644765125,
      0.16245704253183355,
      0.16018729106547236,
      0.1579489129509785,
      0.15574146584565096,
      0.15356451391828688,
      0.1514176279541935,
      0.149300385033021,
      0.14721236837016533,
      0.14515316742980328,
      0.14312237780744677,
      0.14111960096458745,
      0.1391444441776037,
      0.1371965206303838,
      0.13527544919384318,
      0.13338085408216674,
      0.1315123651229273,
      0.1296696175224064,
      0.12785225184433785,
      0.12605991379516093,
      0.12429225416491824,
      0.12254892891760724,
      0.12082959906852497,
      0.11913393040576467,
      0.11746159337304082,
      0.11581226345716876,
      0.11418562063086019,
      0.11258134950374143,
      0.11099913915733711,
      0.10943868312794688,
      0.10789967941087567,
      0.10638183025639027,
      0.10488484208786464,
      0.10340842559288184,
      0.10195229565665766,
      0.10051617120810066,
      0.09909977507272771,
      0.09770283407432834,
      0.09632507884472774,
      0.09496624385653331,
      0.0936260673800156,
      0.09230429128741642,
      0.09100066117529577,
      0.08971492622592092,
      0.08844683918948171,
      0.08719615626411578,
      0.08596263707087573,
      0.08474604453866796,
      0.08354614508076807,
      0.08236270826850577,
      0.08119550692314435,
      0.08004431721627091,
      0.07890891826966195,
      0.07778909244364059,
      0.07668462502286359,
      0.07559530428475028,
      0.07452092155974996,
      0.07346127098419983,
      0.07241614967730325,
      0.07138535748330171,
      0.07036869714343857,
      0.06936597405219672,
      0.06837699641463557,
      0.06740157508311827,
      0.06643952356905598,
      0.06549065787351459,
      0.06455479667713947,
      0.06363176115158971,
      0.06272137490758477,
      0.061823463986844844,
      0.06093785683121854,
      0.06006438438485692,
      0.05920287990343983,
      0.05835317887698167,
      0.05751511907227488,
      0.056688540587041855,
      0.05587328574093314,
      0.05506919891459282,
      0.054276126774728706,
      0.053493918135778556,
      0.05272242368973776,
      0.05196149637568257,
      0.05121099110284287,
      0.0504707648978277,
      0.04974067660467258,
      0.04902058712953921,
      0.04831035927013173,
      0.04760985760315603,
      0.046918948680747884,
      0.04623750092548564,
      0.0455653845840335,
      0.04490247161420995,
      0.04424863577249834,
      0.04360375258457754,
      0.042967699281036366,
      0.04234035473651166,
      0.04172159954249679,
      0.04111131588279544,
      0.04050938757125606,
      0.0399157000922604,
      0.039330140561950465,
      0.03875259751428994,
      0.038182961048921535,
      0.03762112275585912,
      0.037066975722344464,
      0.036520414558216516,
      0.03598133527745536,
      0.03544963529021566,
      0.03492521359122849,
      0.03440797037501099,
      0.0338978073560067,
      0.033394627448271465,
      0.03289833489865997,
      0.03240883542847747,
      0.03192603599221033,
      0.03144984482786569,
      0.03098017141667003,
      0.030516926390013976,
      0.030060021749909422,
      0.02960937056946895,
      0.02916488720015576,
      0.02872648723309241,
      0.02829408731201483,
      0.027867605278271704,
      0.027446959957479818,
      0.0270320714784805,
      0.026622861062513097,
      0.026219251020604874,
      0.02582116455128665,
      0.02542852608281019,
      0.025041261002715146,
      0.024659295760382685,
      0.02428255776358351,
      0.023910975418887297,
      0.0235444780932058,
      0.02318299619344811,
      0.02282646100859721,
      0.022474804809639475,
      0.02212796093426221,
      0.021785863430404173,
      0.021448447249689976,
      0.021115648380622434,
      0.020787405391243362,
      0.02046365978712389,
      0.0201443528495287,
      0.019829425615612246,
      0.019518819417275016,
      0.0192124758673384,
      0.018910336967952423,
      0.018612345449637194,
      0.018318444584663994,
      0.018028578391374887,
      0.017742691643578005,
      0.01746072980026694,
      0.017182639046589676,
      0.01690836617174361,
      0.01663785893947854,
      0.016371065628636702,
      0.01610793513591621,
      0.015848417201745443,
      0.01559246217486949,
      0.015340021161429167,
      0.015091045877630275,
      0.014845488816810562,
      0.014603302929396975,
      0.014364441928344676,
      0.014128860234805215,
      0.01389651283122097,
      0.013667355281855188,
      0.013441343768651954,
      0.013218435103725609,
      0.012998586623644124,
      0.012781756333798112,
      0.012567902794494408,
      0.012356985225703299,
      0.012148963257919646,
      0.011943797155636905,
      0.011741447705829097,
      0.011541876204180323,
      0.011345044487716737,
      0.011150914956869562,
      0.01095945054879248,
      0.010770614560097485,
      0.010584370891011028,
      0.010400684069054774,
      0.010219518995408924,
      0.010040841029750926,
      0.009864615988059235,
      0.009690810262928368,
      0.009519390513459822,
      0.009350324024408439,
      0.009183577541307426,
      0.009019109920596059,
      0.008856878392360878,
      0.008696844740269319,
      0.008538973809015513,
      0.008383232641356242,
      0.008229590062850886,
      0.008078016025013252,
      0.007928481576601037,
      0.007780958495604244,
      0.007635419108627037,
      0.007491836328456056,
      0.007350183681517828,
      0.007210435006607717,
      0.0070725646258820865,
      0.006936547250440621,
      0.006802357861954672,
      0.0066699719007711,
      0.0065393651249832365,
      0.0064105135597180025,
      0.00628339354958821,
      0.00615798188822552,
      0.006034255644582044,
      0.005912192085756003,
      0.005791768823024336,
      0.005672963819459012,
      0.005555755436918379,
      0.00544012214757571,
      0.005326042857529744,
      0.005213496542541977,
      0.005102462668477658,
      0.004992920907218339,
      0.004884851190559491,
      0.00477823375870305,
      0.004673049152641656,
      0.0045692782013338745,
      0.004466901825627967,
      0.004365901211578415,
      0.004266257838237873,
      0.004167953519418443,
      0.004070970294213719,
      0.003975290400994168,
      0.0038808962840377065,
      0.003787770607357144,
      0.0036958963836974095,
      0.003605256850837699,
      0.003515835297304509,
      0.00342761530878622,
      0.0033405808945529115,
      0.0032547160616358426,
      0.003170005172500185,
      0.003086432660640336,
      0.003003983198562889,
      0.0029226418156907126,
      0.002842393521576317,
      0.0027632236669589702,
      0.0026851177270574593,
      0.00260806143556859,
      0.002532040594862808,
      0.0024570413322169554,
      0.002383049943328879,
      0.0023100528705212973
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567239377306045,
      10.33840821921133,
      10.102402332689213,
      9.862048316087211,
      9.619670335756942,
      9.37730568615221,
      9.136706113286486,
      8.899306106539882,
      8.666268430404372,
      8.438480747967382,
      8.21655620393048,
      8.000847371685062,
      7.791471811163042,
      7.588346596869257,
      7.391227242955224,
      7.199745216221036,
      7.013445273549932,
      6.831818091134784,
      6.65433383017748,
      6.480468055124405,
      6.309716844405561,
      6.141617730329868,
      5.975767173483177,
      5.8118250171929695,
      5.649521829814677,
      5.488662802264358,
      5.329125391286209,
      5.1708630757199465,
      5.0139021023818025,
      4.858343076226391,
      4.7043450365116986,
      4.552122483838868,
      4.401939258069839,
      4.254107640993815,
      4.108983979633367,
      3.966972620555923,
      3.828488366810128,
      3.6939302114717876,
      3.563669924218207,
      3.438042188858271,
      3.317336683924139,
      3.201792345073558,
      3.091594078379108,
      2.9868726354947013,
      2.8876970612260204,
      2.7940769281824,
      2.7059620101219104,
      2.6232376890485845,
      2.545753003785054,
      2.4733013077679713,
      2.4056384922333747,
      2.3425037049803255,
      2.283605423486703,
      2.228628793476137,
      2.1772267052951415,
      2.1290103203622115,
      2.0836063258534225,
      2.0406745065672984,
      1.9998888778969857,
      1.9609555720947676,
      1.9236334149912422,
      1.8877346965509099,
      1.85311125869331,
      1.8196413183508016,
      1.7872188061668253,
      1.7557557824001706,
      1.7251813392912614,
      1.6954370898544038,
      1.6664739427399062,
      1.638249711954018,
      1.6107250709841734,
      1.5838638593270442,
      1.557634638252495,
      1.5320095459272447,
      1.5069634897352215,
      1.4824735703833058,
      1.4585186657712974,
      1.4350791282321476,
      1.4121365615067054,
      1.3896736528780542,
      1.367674271943647,
      1.3461239407439658,
      1.3250089771884639,
      1.3043166460567859,
      1.284034580246176,
      1.2641506505469866,
      1.2446530456197078,
      1.2255303182780553,
      1.206771410067773,
      1.188365661790925,
      1.170302813385361,
      1.1525729985855968,
      1.1351667347885102,
      1.118075617745226,
      1.1012921112029956,
      1.0848090437526325,
      1.0686192830490264,
      1.0527156462415221,
      1.0370910031726974,
      1.0217383763313461,
      1.0066519901136985,
      0.991826723773913,
      0.9772571056641963,
      0.9629374981275257,
      0.9488622173921964,
      0.9350256130448745,
      0.9214221189306085,
      0.9080462854481158,
      0.8948928204686547,
      0.8819578446697476,
      0.8692382425891375,
      0.8567303670315692,
      0.8444302651443226,
      0.8323338246418333,
      0.8204368718794119,
      0.808735235484814,
      0.7972247880708981,
      0.7859014729058292,
      0.7747613191272381,
      0.7638004518574254,
      0.7530150967944009,
      0.7424015817132121,
      0.7319563362846322,
      0.7216758913045496,
      0.711556876364567,
      0.7015960165888416,
      0.6917901298464442,
      0.6821361243723306,
      0.6726309951755657,
      0.6632718174839708,
      0.6540556965862968,
      0.6449797981435694,
      0.6360413891925665,
      0.627237723749997,
      0.6185656341158411,
      0.6100220085729543,
      0.6016040232965659,
      0.5933090683769807,
      0.5851346980046422,
      0.5770785945535882,
      0.5691385440088363,
      0.5613124187415817,
      0.5535981649518101,
      0.5459937937653531,
      0.5384973746517286,
      0.5311070302680168,
      0.5238209327519989,
      0.5166373006026627,
      0.5095543961260257,
      0.5025705235526301,
      0.49568402704389547,
      0.48889328917731534,
      0.4821967294594833,
      0.47559280320260733,
      0.46907999998223293,
      0.4626568163207996,
      0.4563217447987673,
      0.45007332554335316,
      0.4439101467043866,
      0.43783083801569717,
      0.4318340654843512,
      0.4259185282658878,
      0.4200829556354494,
      0.4143261052720583,
      0.4086467618135365,
      0.4030437353009125,
      0.3975158601490909,
      0.3920619942890658,
      0.3866810184330319,
      0.3813718352613591,
      0.37613336878689885,
      0.370964563493488,
      0.3658643840878973,
      0.36083171138327075,
      0.3558652310590217,
      0.3509637094852574,
      0.3461260204060572,
      0.34135111650206695,
      0.33663800925482423,
      0.3319857554045189,
      0.327393447396902,
      0.3228602067845997,
      0.31838517944106165,
      0.31396753230614677,
      0.3096064538145499,
      0.3053013814832164,
      0.3010520542145396,
      0.2968582263461946,
      0.2927199137647204,
      0.2886369993378558,
      0.2846091409120468,
      0.2806358496678772,
      0.27671654461494044,
      0.2728506184501668,
      0.2690375096921724,
      0.2652766758571246,
      0.261567821659433,
      0.25791063839426764,
      0.2543046708204541,
      0.25074936946836496,
      0.247244125161474,
      0.24378829255772036,
      0.24038120568836924,
      0.23702218850489212,
      0.233710561924584,
      0.230445648471135,
      0.22722677516526882,
      0.22405327566925107,
      0.2209244915163816,
      0.21783975338348102,
      0.21479832632451176,
      0.21179949341177856,
      0.20884257867737413,
      0.20592693645427504,
      0.2030519448989421,
      0.20021700079480936,
      0.19742151644532796,
      0.19466491748755432,
      0.19194664135182854,
      0.18926613596742123,
      0.18662285897776754,
      0.18401627727156733,
      0.18144586651078434,
      0.178911110793803,
      0.17641150242859566,
      0.17394654153441194,
      0.17151573601877323,
      0.1691186013320643,
      0.16675466031091402,
      0.16442344290657226,
      0.16212448620495984,
      0.1598573343569012,
      0.15762153827256153,
      0.15541665563917395,
      0.1532422506579271,
      0.15109789409113014,
      0.14898316297086092,
      0.14689764066881686,
      0.14484091671010818,
      0.14281258671922514,
      0.14081225217321813,
      0.1388395204837055,
      0.13689400483498104,
      0.13497532397576587,
      0.1330831022624825,
      0.13121696969407484,
      0.12937656141649506,
      0.12756151807017357,
      0.12577148540287453,
      0.12400611428068191,
      0.12226506070162912,
      0.1205479856283865,
      0.11885455493803775,
      0.11718443926690894,
      0.11553731401650828,
      0.11391285919677331,
      0.11231075943662112,
      0.11073070389498113,
      0.10917238625029134,
      0.10763550450115424,
      0.10611976102930822,
      0.10462486240363192,
      0.10315051931224947,
      0.10169644669312843,
      0.10026236349075422,
      0.09884799259823435,
      0.09745306081250027,
      0.09607729894277349,
      0.09472044148749464,
      0.0933822268519283,
      0.09206239701287247,
      0.09076069762200287,
      0.08947687795655791,
      0.08821069065985036,
      0.08696189200894999,
      0.08573024178761988,
      0.08451550304484884,
      0.08331744212512837,
      0.08213582880956913,
      0.0809704360710227,
      0.0798210400444314,
      0.07868741997676755,
      0.07756935823848127,
      0.07646664015263833,
      0.0753790541332954,
      0.07430639154247237,
      0.07324844665006752,
      0.07220501659153043,
      0.07117590140255056,
      0.07016090383251045,
      0.06915982945047247,
      0.06817248648798772,
      0.06719868585729655,
      0.06623824118544268,
      0.06529096857534,
      0.0643566867290345,
      0.06343521695349537,
      0.06252638285756246,
      0.06163001044557011,
      0.06074592840140642,
      0.05987396777144656,
      0.05901396180598161,
      0.05816574608554564,
      0.057329158528742284,
      0.05650403924950341,
      0.05569023072503615,
      0.05488757748268201,
      0.05409592612831686,
      0.05331512555122291,
      0.052545026663502976,
      0.05178548246230651,
      0.051036347908777514,
      0.05029747995751552,
      0.04956873773062029,
      0.048849982136406296,
      0.04814107602039698,
      0.04744188419269352,
      0.0467522732275716,
      0.04607211158172465,
      0.04540126956653308,
      0.044739619248229834,
      0.0440870344500106,
      0.043443390754414925,
      0.042808565484026194,
      0.04218243765994783,
      0.0415648879064546,
      0.04095579854300653,
      0.04035505357138375,
      0.03976253847838898,
      0.039178140321342377,
      0.03860174773945384,
      0.03803325090179741,
      0.037472541511824,
      0.036919512757276646,
      0.03637405939321098,
      0.035836077474579967,
      0.03530546451069873,
      0.03478211943440356,
      0.034265942694347205,
      0.03375683601599276,
      0.033254702406046395,
      0.032759446200069035,
      0.03227097317567787,
      0.03178919032438456,
      0.03131400597516933,
      0.030845329703447864,
      0.03038307222282179,
      0.029927145573651875,
      0.02947746302108621,
      0.0290339389768184,
      0.028596489043262355,
      0.028165029890188435,
      0.027739479412448743,
      0.027319756669553028,
      0.02690578185568382,
      0.02649747615276777,
      0.026094761835753915,
      0.025697562318381405,
      0.025305802127073212,
      0.024919406681931877,
      0.024538302539389004,
      0.024162417142785813,
      0.023791678977507454,
      0.02342601746252808,
      0.023065363107039952,
      0.0227096473399199,
      0.022358802425924147,
      0.022012761671049996,
      0.021671459314069257,
      0.021334830396396217,
      0.021002810819127003,
      0.020675338732959625,
      0.020352355682993033,
      0.02003380326906573,
      0.019719622720084432,
      0.019409755452666426,
      0.01910414326762126,
      0.018802728331991418,
      0.018505453391118563,
      0.018212261932609865,
      0.0179230980536666,
      0.017637906445643215,
      0.01735663259073657,
      0.01707922273918955,
      0.016805623927470568,
      0.01653578382177364,
      0.016269650722599845,
      0.01600717371845061,
      0.015748302626035743,
      0.015492987844480194,
      0.015241180498071797,
      0.014992832327275022,
      0.01474789583672783,
      0.01450632421700467,
      0.014268071173728034,
      0.014033091089802495,
      0.013801339037152709,
      0.013572770676880763,
      0.013347342276276871,
      0.013125010664546214,
      0.012905733387876348,
      0.012689468402876018,
      0.012476174280832962,
      0.01226581015949245,
      0.012058335837428482,
      0.01185371165433935,
      0.011651898430968973,
      0.011452857480771914,
      0.011256550839999588,
      0.011062940965728905,
      0.010871990741610202,
      0.010683663631096567,
      0.01049792358486853,
      0.010314735033224325,
      0.010134062924431043,
      0.009955872727297041,
      0.009780130333667491,
      0.009606802134714454,
      0.009435854927130984,
      0.009267256030944535,
      0.009100973161255483,
      0.008936974556052817,
      0.008775228775228867,
      0.008615704888925728,
      0.008458367294183684,
      0.008303174542836356,
      0.00815008856252784,
      0.007999074690386628,
      0.007850100831328482,
      0.007703136587714802,
      0.007558152956042492,
      0.00741512190113203,
      0.007274016220907339,
      0.007134809344104341,
      0.006997475378847958,
      0.006861988902761491,
      0.006728324755135913,
      0.006596458269018593,
      0.006466365212426981,
      0.006338021782455628,
      0.006211404384481757,
      0.006086489794166526,
      0.005963255002551141,
      0.005841677329371422,
      0.00572173458214526,
      0.005603404740043406,
      0.005486666121829888,
      0.005371497409070642,
      0.0052578773968816545,
      0.005145785247891662,
      0.005035200442393783,
      0.004926102691348837,
      0.004818472079281166,
      0.004712288865404788,
      0.004607533539597927,
      0.004504186911320908,
      0.004402229964198869,
      0.004301644061381934,
      0.004202410776881109,
      0.004104511893197304,
      0.004007929488954458,
      0.0039126457921615865,
      0.003818643383940976,
      0.003725905111081933,
      0.003634413878701046,
      0.0035441530159677948,
      0.0034551059367476317,
      0.003367256329242253,
      0.003280588009042338,
      0.0031950851101775184,
      0.0031107320482926942,
      0.0030275132367642166,
      0.0029454134707864303,
      0.0028644177022868404,
      0.002784511108086992,
      0.002705678980562334,
      0.0026279069947051136,
      0.002551180884831139,
      0.002475486521882543,
      0.0024008100935314484,
      0.0023271378524872656,
      0.002254456317213772
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567231505183269,
      10.338382062559688,
      10.102349959377829,
      9.86196446056923,
      9.61955145484967,
      9.377149501685084,
      9.13651141116643,
      8.899072495881295,
      8.665996040415951,
      8.438170033356135,
      8.216207776633457,
      8.000461872985968,
      7.791049812679161,
      7.587888545192433,
      7.390733426126715,
      7.199215757147032,
      7.012880123568626,
      6.831216990598322,
      6.653696488347538,
      6.479794333485331,
      6.309006722227666,
      6.14087138017909,
      5.974985108458638,
      5.811008034880187,
      5.6486710263100965,
      5.487779620810044,
      5.328211671050719,
      5.169921117898535,
      5.012934671619923,
      4.857353298379611,
      4.703336318461486,
      4.551098803742601,
      4.400905074116266,
      4.253067746084522,
      4.1079436950068295,
      3.9659378896214545,
      3.8274649365276554,
      3.6929235322934355,
      3.5626850562577763,
      3.4370837179378375,
      3.3164086553294294,
      3.2008982167337034,
      3.0907366866862054,
      2.9860541829181244,
      2.886918934107529,
      2.7933397599484526,
      2.7052653140393215,
      2.6225801927961965,
      2.545132812625784,
      2.4727157789811267,
      2.405084917618324,
      2.3419791454881826,
      2.2831066743936583,
      2.2281524447075767,
      2.1767688821330875,
      2.128566936175546,
      2.0831737367718444,
      2.040249317724753,
      1.9994680205492374,
      1.9605366121557872,
      1.9232145591843992,
      1.887314623547289,
      1.8526889660808084,
      1.8192160029395783,
      1.786789779545261,
      1.75532258312321,
      1.7247436687836297,
      1.6949947662453961,
      1.66602686746032,
      1.6377978569533447,
      1.6102684679468802,
      1.5834025602005946,
      1.5571687090098645,
      1.5315390617351892,
      1.506488532397959,
      1.4819942252661369,
      1.4580350198826393,
      1.434591269564321,
      1.4116445778022684,
      1.3891776319556903,
      1.3671743119733224,
      1.3456201552223173,
      1.3245014849477137,
      1.303805581411958,
      1.2835200593859883,
      1.2636327770592661,
      1.2441319134324185,
      1.225006014558834,
      1.206244017521177,
      1.1878352588265402,
      1.169769475563177,
      1.1520367989469944,
      1.13462774658199,
      1.1175339425456297,
      1.1007478574292238,
      1.0842623180900353,
      1.0680701780569961,
      1.0521642451935105,
      1.0365373820854276,
      1.021182690364446,
      1.0060945120153142,
      0.9912676557205692,
      0.9766966018950971,
      0.9623756800513554,
      0.9482991840002506,
      0.934461447563449,
      0.9208568938083904,
      0.9074800655855757,
      0.8943257978534488,
      0.8813903950299935,
      0.86867062925095,
      0.8561627781492894,
      0.8438628376525817,
      0.8317666611118563,
      0.819870051433079,
      0.8081688213348424,
      0.7966588326704241,
      0.7853360210239216,
      0.774196410537551,
      0.763236122831385,
      0.752451381013425,
      0.7418385110612198,
      0.7313939415472648,
      0.7211142021420794,
      0.7109959214229065,
      0.701035824080315,
      0.6912307278897414,
      0.6815775403546365,
      0.6720732560949064,
      0.6627149487542446,
      0.6534997216910513,
      0.6444247412527286,
      0.6354872747173129,
      0.6266845942517788,
      0.6180135577502324,
      0.6094710388844725,
      0.6010542041296606,
      0.5927604370396715,
      0.5845872867246051,
      0.5765324322916672,
      0.5685936573389871,
      0.5607688324611303,
      0.5530559025002493,
      0.5454528777589867,
      0.5379578268237313,
      0.5305688716527099,
      0.5232841837331283,
      0.5161019810550873,
      0.5090205255995565,
      0.5020381211434167,
      0.4951531113600425,
      0.4883638784753773,
      0.48166884149376266,
      0.47506645527071023,
      0.46855520919224836,
      0.462133625848505,
      0.45580024866785807,
      0.4495536072408971,
      0.44339226611057087,
      0.4373148387201347,
      0.43131997995403104,
      0.42540638129079844,
      0.41957276690313716,
      0.41381789095288135,
      0.40814053531501726,
      0.4025395081858608,
      0.3970136427122841,
      0.39156179587045337,
      0.3861828474945953,
      0.3808756996348532,
      0.37563927566116007,
      0.3704725197515213,
      0.3653743962322157,
      0.36034376515330346,
      0.355379310101669,
      0.35047980472013823,
      0.3456441277404332,
      0.340871235018221,
      0.3361601403343219,
      0.33150990190867347,
      0.3269196130025688,
      0.3223883955869939,
      0.317915395949904,
      0.3134997811095283,
      0.30914078558941654,
      0.30483794089372307,
      0.30059097231786897,
      0.29639969227543067,
      0.29226412272589497,
      0.2881840777131061,
      0.28415916895658044,
      0.28018887639407225,
      0.27627259903409473,
      0.27240973058379864,
      0.26859970289854074,
      0.26484197771092904,
      0.26113627545246637,
      0.2574822669884596,
      0.25387948354974854,
      0.2503273664254935,
      0.24682530018791388,
      0.24337263536877504,
      0.23996870315371951,
      0.23661282564897762,
      0.23330432244715102,
      0.23004251517227461,
      0.22682673026289688,
      0.22365630098553577,
      0.22053056863532836,
      0.2174488570395617,
      0.21441042582471984,
      0.21141456230824682,
      0.20846059316797214,
      0.20554787482353534,
      0.20267578660897734,
      0.199843726164818,
      0.19705110635821133,
      0.19429735319933478,
      0.1915819043136462,
      0.18890420792729506,
      0.1862637218147384,
      0.18365991294409656,
      0.18109225715666377,
      0.17856023860127943,
      0.17606334953145725,
      0.17360109017325448,
      0.17117296844731852,
      0.168778499729053,
      0.16641720684974054,
      0.16408861982406484,
      0.16179227588209313,
      0.15952771915783281,
      0.15729450064356681,
      0.15509217796540486,
      0.1529203153036269,
      0.15077848350894069,
      0.14866625972197117,
      0.14658322732190351,
      0.14452897591784356,
      0.14250310112892015,
      0.14050520452170212,
      0.13853489350056497,
      0.13659178133030436,
      0.13467548677468924,
      0.13278563417121794,
      0.13092185351612526,
      0.12908378007659382,
      0.12727105447730988,
      0.12548332253582078,
      0.12372023529836658,
      0.12198144879947236,
      0.12026662402177317,
      0.11857542685809969,
      0.11690752793041877,
      0.11526260267188358,
      0.11364033134795308,
      0.11204039859023796,
      0.11046249358122172,
      0.10890630999869753,
      0.10737154596869827,
      0.10585790396352028,
      0.10436509055472118,
      0.10289281652328433,
      0.1014407968248554,
      0.100008750416073,
      0.09859640036822939,
      0.09720347361955786,
      0.09582970090576924,
      0.09447481683735823,
      0.09313855984367601,
      0.09182067200950879,
      0.09052089902586091,
      0.08923899023603614,
      0.0879746984462376,
      0.08672778002823767,
      0.08549799477349293,
      0.08428510580730968,
      0.08308887949538817,
      0.08190908570233167,
      0.08074549740718127,
      0.07959789085175922,
      0.07846604546202611,
      0.0773497436694773,
      0.07624877091528032,
      0.0751629156744302,
      0.07409196939255763,
      0.0730357263184753,
      0.07199398375773282,
      0.07096654179612073,
      0.06995320329118591,
      0.06895377386731018,
      0.0679680617746296,
      0.06699587802482848,
      0.06603703627599608,
      0.06509135270199234,
      0.06415864613819405,
      0.06323873793161448,
      0.06233145189889492,
      0.06143661421088851,
      0.060554053524391416,
      0.05968360092589447,
      0.058825089731653846,
      0.05797835565882894,
      0.05714323674453888,
      0.05631957315283024,
      0.05550720744129447,
      0.05470598418129413,
      0.05391575004706588,
      0.05313635392528432,
      0.05236764684871822,
      0.051609481959788754,
      0.050861714368001,
      0.05012420113552426,
      0.04939680140692358,
      0.04867937613314295,
      0.047971788289005585,
      0.047273902764638394,
      0.046585586260631744,
      0.04590670729852296,
      0.04523713619341222,
      0.04457674510994884,
      0.043925407937480926,
      0.043283000429525695,
      0.042649399997289415,
      0.04202448568461266,
      0.04140813819975359,
      0.040800239918610974,
      0.04020067485300733,
      0.03960932858389961,
      0.0390260883026326,
      0.03845084271138595,
      0.03788348210199694,
      0.03732389834478742,
      0.03677198471514402,
      0.03622763591022726,
      0.03569074812154977,
      0.035161218963983346,
      0.03463894748055609,
      0.034123834066382384,
      0.03361578047758768,
      0.03311468988358675,
      0.032620466718092926,
      0.0321330168244057,
      0.0316522473325508,
      0.03117806661483436,
      0.030710384328546992,
      0.03024911131108873,
      0.029794159740508884,
      0.029345442782701226,
      0.028902874974239764,
      0.028466371948525106,
      0.028035850535344187,
      0.02761122875391637,
      0.027192425683029608,
      0.026779361545458274,
      0.02637195765650659,
      0.02597013639638216,
      0.025573821224387457,
      0.025182936602412234,
      0.024797408093517583,
      0.024417162216944753,
      0.024042126618674633,
      0.0236722299090444,
      0.023307401478664915,
      0.022947571921937568,
      0.022592672746099534,
      0.022242636389289017,
      0.02189739622961525,
      0.0215568864515461,
      0.02122104216336891,
      0.0208897994230054,
      0.020563095998605268,
      0.02024087326895278,
      0.019923073003696678,
      0.019609636811450223,
      0.019300506241589733,
      0.018995623045299243,
      0.018694929615059155,
      0.018398368873420633,
      0.01810588425928881,
      0.017817419951429634,
      0.01753292081526062,
      0.01725233246019355,
      0.016975601147177343,
      0.016702673858215732,
      0.016433498336456003,
      0.016168022989427266,
      0.015906197005020536,
      0.01564797026034264,
      0.015393293252403472,
      0.015142117171279886,
      0.014894393842202026,
      0.014650075746638555,
      0.01440911612229135,
      0.014171468830544789,
      0.013937088289896893,
      0.013705929577360366,
      0.013477948462106348,
      0.013253101168276358,
      0.013031344674276621,
      0.012812636473752963,
      0.012596934599896836,
      0.012384197823525405,
      0.01217438537022929,
      0.011967457002309086,
      0.011763373019967055,
      0.011562094347362146,
      0.011363582436373863,
      0.01116779931920302,
      0.010974707350994095,
      0.010784269584027204,
      0.010596449519216872,
      0.010411211181706464,
      0.010228519100511006,
      0.010048338181306127,
      0.009870633975807001,
      0.009695372476631985,
      0.009522520092089431,
      0.009352043717930877,
      0.009183910613703173,
      0.009018088624218469,
      0.00885454595164632,
      0.008693251215066337,
      0.008534173524655023,
      0.008377282398598215,
      0.008222547846995438,
      0.008069940209689562,
      0.007919429652190509,
      0.007770979363670146,
      0.007624550430668939,
      0.0074801080769492,
      0.00733762048969168,
      0.007197057804360394,
      0.007058391714082457,
      0.006921595059465481,
      0.0067866415377265095,
      0.006653505644038539,
      0.00652216232972656,
      0.006392587126596762,
      0.006264755955426739,
      0.0061386452478560056,
      0.0060142318093327745,
      0.005891492753450631,
      0.005770405418596902,
      0.005650947526944608,
      0.005533097097133851,
      0.005416832542559467,
      0.005302132446423498,
      0.005188975764083087,
      0.005077341772380628,
      0.0049672099752956335,
      0.004858560100094004,
      0.004751372246587102,
      0.0046456267900407845,
      0.004541304284896592,
      0.004438385592168905,
      0.004336851785177628,
      0.004236684221525318,
      0.004137864489084977,
      0.00404037445457493,
      0.003944196230422013,
      0.0038493121682134307,
      0.003755704808563427,
      0.0036633570161067664,
      0.0035722518612882237,
      0.0034823726112861468,
      0.0033937028041992373,
      0.003306226152564372,
      0.0032199266257173413,
      0.0031347884060421312,
      0.0030507958523536428,
      0.0029679335464933296,
      0.002886186258370723,
      0.0028055390324251764,
      0.002725976925311787,
      0.002647485354440008,
      0.002570050027961668,
      0.0024936566469872775,
      0.0024182911865156206,
      0.0023439398976915935,
      0.00227058907562331,
      0.002198225202930636
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567223636111866,
      10.33835591190333,
      10.102297588993816,
      9.861880580753036,
      9.619432503436029,
      9.376993198497624,
      9.136316538539344,
      8.8988386583341,
      8.665723363233202,
      8.437858967402098,
      8.215858932547805,
      8.000075889251146,
      7.790627258340607,
      7.587429865186762,
      7.390238906692245,
      7.198685520550226,
      7.012314115647429,
      6.830614947011739,
      6.653058118943733,
      6.479119501654315,
      6.308295409781728,
      6.140123761568831,
      5.974201696965603,
      5.810189628125145,
      5.647818721810928,
      5.486894862379694,
      5.3272962992389425,
      5.168977437373965,
      5.011965449822945,
      4.856361665501777,
      4.702325686176932,
      4.5500731042257385,
      4.399868773329191,
      4.252025645604844,
      4.106901127879517,
      3.96490081108685,
      3.826439104604614,
      3.6919144074219226,
      3.5616977067662874,
      3.4361227379459507,
      3.3154780980404066,
      3.2000015467661598,
      3.0898767457865777,
      2.9852331782564647,
      2.8861382565230977,
      2.792600046558191,
      2.7045660816800017,
      2.6219201732883812,
      2.5445101152711778,
      2.4721277650378295,
      2.404528883510983,
      2.341452155887539,
      2.282605498401684,
      2.22767365729307,
      2.1763086220940107,
      2.1281211293178695,
      2.0827387500894896,
      2.0398217659404057,
      1.9990448431568235,
      1.960115380151186,
      1.9227934826494617,
      1.8868923835890075,
      1.8522645612564983,
      1.8187886291988955,
      1.7863587477381622,
      1.7548874315629799,
      1.7243040981000206,
      1.6945505933898197,
      1.6655779918627645,
      1.6373442492826549,
      1.6098101582244022,
      1.582939599004975,
      1.556701161000008,
      1.5310670009342078,
      1.5060120390396847,
      1.4815133830363452,
      1.4575499145214001,
      1.4341019874546892,
      1.4111512060694091,
      1.388680256818793,
      1.3666730364059372,
      1.3451150897478599,
      1.323992758005305,
      1.3032933219478255,
      1.2830043796828956,
      1.2631137774519952,
      1.2436096859658137,
      1.2244806448751282,
      1.2057155860940036,
      1.1873038429131781,
      1.1692351495350755,
      1.1514996352356273,
      1.1340878310731881,
      1.1169913825336961,
      1.1002027534347127,
      1.0837147717569156,
      1.0675202788921891,
      1.0516120737271948,
      1.0359830125102234,
      1.020626276426709,
      1.0055363247501572,
      0.9907078962589526,
      0.9761354240995829,
      0.9618132051162661,
      0.9477355103589821,
      0.9338966582038637,
      0.9202910608042426,
      0.906913253276761,
      0.8937581979909078,
      0.8808223831773561,
      0.8681024682881624,
      0.8555946559620419,
      0.8432948913408376,
      0.8311989928815791,
      0.8193027398676387,
      0.8076019293424177,
      0.796092412226943,
      0.7847701167072636,
      0.7736310618092465,
      0.7626713656062472,
      0.7518872486236672,
      0.7412750350737667,
      0.7308311524125211,
      0.720552129522753,
      0.7104345941786046,
      0.7004752704175367,
      0.6906709753206682,
      0.681018616203482,
      0.6715151873570654,
      0.662157760800082,
      0.6529434378698517,
      0.643869385432623,
      0.6349328708912765,
      0.6261311845979916,
      0.6174612103809894,
      0.6089198073357192,
      0.6005041319672582,
      0.5922115609715408,
      0.5840396389458252,
      0.5759860414843208,
      0.568048549729335,
      0.5602250326834586,
      0.5525134340664621,
      0.544911762907012,
      0.537418087066684,
      0.5300305279626929,
      0.5227472564114696,
      0.5155664900005197,
      0.5084864902130225,
      0.5015055602500977,
      0.4946220434541883,
      0.4878343215506763,
      0.4811408132735486,
      0.4745399730498347,
      0.4680302898758307,
      0.461610285805319,
      0.4552785153519735,
      0.4490335626325063,
      0.4428740018540103,
      0.436798419817835,
      0.4308054536510742,
      0.4248937824547889,
      0.419062121779006,
      0.4133092198909074,
      0.4076338547864614,
      0.4020348317885281,
      0.39651098195768536,
      0.391061160832551,
      0.3856842472200577,
      0.38037914229123365,
      0.37514476875439784,
      0.36998007023541346,
      0.3648840105354922,
      0.35985542892445627,
      0.3548930067006746,
      0.3499955249647348,
      0.345161867289714,
      0.3403909929025135,
      0.33568191771052563,
      0.3310337013035586,
      0.32644543800348713,
      0.3219162503425726,
      0.3174452847719365,
      0.3130317084416037,
      0.30867482940562907,
      0.3043742495329792,
      0.30012966603763697,
      0.29594097233495004,
      0.2918081723708368,
      0.2877310153943439,
      0.28370906933737416,
      0.2797417848701822,
      0.27582854282225067,
      0.2719687393319078,
      0.2681617980325004,
      0.26440718567504407,
      0.2607046387342261,
      0.2570538078159825,
      0.25345421062588025,
      0.24990527941542864,
      0.24640639277129778,
      0.24295689700783235,
      0.23955612055061176,
      0.236203383630916,
      0.2328980047283883,
      0.22963930452400147,
      0.22642660888176913,
      0.2232592505142126,
      0.2201365704975029,
      0.21705788244272695,
      0.21402244512325702,
      0.2110295496511419,
      0.20807852532282675,
      0.20516873018688925,
      0.20229954466671443,
      0.19947036729871565,
      0.19668061160360212,
      0.19392970396586706,
      0.19121708218262562,
      0.18854219448642826,
      0.18590449889905192,
      0.18330346255821955,
      0.18073856132081814,
      0.17820927925940597,
      0.1757151087636569,
      0.17325555006423438,
      0.17083011114479085,
      0.16843830759039824,
      0.16607966220041862,
      0.1637537050651389,
      0.16145997331749917,
      0.15919801102993375,
      0.15696736914879283,
      0.15476760547258678,
      0.15259828433040684,
      0.15045897652013818,
      0.14834925919425632,
      0.14626871578221257,
      0.14421693589232312,
      0.1421935151868868,
      0.14019805531260177,
      0.13823016365734672,
      0.13628945345457893,
      0.13437554366942595,
      0.1324880587175515,
      0.13062662849907564,
      0.12879088849341494,
      0.1269804793816289,
      0.1251950470153084,
      0.12343424235037125,
      0.12169772144131193,
      0.11998514529854318,
      0.1182961799397125,
      0.11663049606857205,
      0.11498776928429254,
      0.11336767976548981,
      0.11176991221741793,
      0.11019415603703202,
      0.10864010489557137,
      0.10710745682489566,
      0.10559591436912538,
      0.10410518425484183,
      0.10263497738091223,
      0.10118500871377303,
      0.09975499727291931,
      0.09834466611064452,
      0.0969537423249038,
      0.09558195674219609,
      0.09422904403315444,
      0.09289474266948945,
      0.09157879478582744,
      0.09028094607953281,
      0.08900094599035313,
      0.08773854747943503,
      0.08649350702401587,
      0.08526558442129212,
      0.08405454289305947,
      0.08286014900207259,
      0.08168217251016856,
      0.08052038655021077,
      0.07937456746613875,
      0.07824449465193674,
      0.07712995060518871,
      0.07603072085467691,
      0.07494659393078151,
      0.07387736134374022,
      0.07282281754379089,
      0.07178275988239012,
      0.07075698857775486,
      0.06974530650641261,
      0.06874751932855522,
      0.06776343545849578,
      0.06679286602903098,
      0.06583562469096034,
      0.0648915277781008,
      0.06396039417676604,
      0.06304204530655082,
      0.06213630499904128,
      0.06124299957943612,
      0.06036195769994403,
      0.059493010531416986,
      0.05863599160194897,
      0.057790736727012904,
      0.056957083925661706,
      0.05613487351365546,
      0.05532394798251426,
      0.05452415207438441,
      0.05373533268710897,
      0.05295733871756394,
      0.05219002127189619,
      0.05143323346092726,
      0.05068683049269084,
      0.049950669578833026,
      0.049224609886667256,
      0.04850851250495134,
      0.04780224050001191,
      0.04710565874027076,
      0.046418634026986524,
      0.04574103500615194,
      0.04507273213546214,
      0.04441359771200069,
      0.04376350570350287,
      0.04312233182133202,
      0.04248995354285987,
      0.04186625004502232,
      0.041251102153951176,
      0.0406443923487697,
      0.040046004733642504,
      0.039455824967773896,
      0.038873740211560724,
      0.03829963931977098,
      0.03773341272022678,
      0.037174952279301274,
      0.036624151325743814,
      0.036080904737306026,
      0.035545108708703,
      0.035016660957709486,
      0.034495460580364706,
      0.0339814080707656,
      0.03347440531116662,
      0.032974355567671663,
      0.032481163382683254,
      0.0319947346126512,
      0.03151497639760533,
      0.031041797160910933,
      0.03057510666185198,
      0.030114815811801202,
      0.02966083678073381,
      0.02921308298815463,
      0.028771469066674476,
      0.028335910779690377,
      0.027906324930516008,
      0.027482629552430964,
      0.02706474388713201,
      0.02665258818973212,
      0.026246083874913208,
      0.025845153330302247,
      0.025449720159968194,
      0.02505970889193339,
      0.024675045096182204,
      0.024295655398811608,
      0.023921467481143176,
      0.02355241004474002,
      0.02318841263421377,
      0.022829405863782418,
      0.022475321393779477,
      0.022126091656749527,
      0.021781650089018324,
      0.0214419309336809,
      0.021106869444312143,
      0.02077640167729656,
      0.02045046510011884,
      0.02012900068257735,
      0.019811950540867054,
      0.01949925648985915,
      0.019190860247698276,
      0.018886703913687755,
      0.018586729893856586,
      0.01829088119062162,
      0.017999101408488875,
      0.01771133474911667,
      0.017427526206172824,
      0.01714762134974483,
      0.016871566552055222,
      0.016599308859720902,
      0.01633079610440491,
      0.016065976831894743,
      0.015804800195663497,
      0.015547216126631243,
      0.015293175200334606,
      0.015042628640447713,
      0.01479552828659557,
      0.014551826761592291,
      0.014311477406645096,
      0.014074434117462162,
      0.013840651386115626,
      0.013610084364157973,
      0.01338268874414739,
      0.013158420884869395,
      0.012937237722718585,
      0.012719096889133951,
      0.012503956512647319,
      0.01229177528993618,
      0.0120825125783502,
      0.011876128179091798,
      0.011672582625058561,
      0.011471836764965573,
      0.011273852029730136,
      0.011078590414678362,
      0.01088601459142429,
      0.010696087551253976,
      0.010508772962618637,
      0.010324034780406378,
      0.01014183762639052,
      0.009962146440173894,
      0.009784926761721378,
      0.009610144583369767,
      0.00943776645798124,
      0.009267759297805708,
      0.009100090429230163,
      0.008934727718855576,
      0.008771639479273365,
      0.008610794433835061,
      0.00845216169563272,
      0.008295710837194992,
      0.008141411770980964,
      0.007989234968599246,
      0.00783915126847594,
      0.007691131735904219,
      0.007545148052247646,
      0.007401172263665974,
      0.0072591753998770955,
      0.007119121616145114,
      0.00698097491008382,
      0.006844702846825649,
      0.006710275560433234,
      0.006577665076773014,
      0.00644684486047618,
      0.006317789233671471,
      0.006190473453419242,
      0.0060648734110883284,
      0.005940965531389152,
      0.005818726737100281,
      0.005698134320254606,
      0.005579165961247274,
      0.005461799762032874,
      0.005346014039435104,
      0.005231787462596655,
      0.0051190990456143224,
      0.005007927982361214,
      0.004898253838576342,
      0.004790056484103465,
      0.00468331598867112,
      0.004578012734337662,
      0.00447412739588218,
      0.004371640839284411,
      0.00427053432035689,
      0.004170789220207027,
      0.004072387201169041,
      0.003975310198635465,
      0.0038795403943581966,
      0.0037850601975419735,
      0.0036918522266720004,
      0.0035998992413520175,
      0.003509184341751675,
      0.0034196908830342225,
      0.0033314024484525327,
      0.003244302778231917,
      0.003158375915929657,
      0.0030736060184042868,
      0.0029899775291705117,
      0.002907475053509698,
      0.0028260834953708126,
      0.0027457878517254297,
      0.0026665733890506417,
      0.0025884255091798854,
      0.002511329882840614,
      0.0024352723361295765,
      0.002360238902953353,
      0.0022862158275443944,
      0.002213189504041154,
      0.002141146448514281
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567215767955728,
      10.33832975849956,
      10.102245202395139,
      9.86179663721241,
      9.619313410820633,
      9.376836669032544,
      9.136121346929803,
      8.898604403101935,
      8.66545016637921,
      8.437547279371215,
      8.215509361074323,
      7.999689069497952,
      7.790203759008125,
      7.586970132834729,
      7.389743228338348,
      7.198154016863604,
      7.011746733294559,
      6.830011422470909,
      6.652418162578406,
      6.478442974807865,
      6.307582292753039,
      6.1393742284391974,
      5.973416262157634,
      5.809369090491968,
      5.646964179873744,
      5.486007762639382,
      5.326378485518698,
      5.168031216610412,
      5.010993592796321,
      4.855367305484446,
      4.701312238257711,
      4.549044505010795,
      4.398829492560307,
      4.2509804898185095,
      4.105855450037286,
      3.963860573517452,
      3.8254100728696607,
      3.6909020483852455,
      3.560707094936458,
      3.4351584730498117,
      3.3145442383157717,
      3.1991015611194,
      3.089013480277916,
      2.9844088440260057,
      2.8853542478932925,
      2.791857003984756,
      2.7038635273799225,
      2.621256844072076,
      2.5438841241449515,
      2.471536477085497,
      2.403969597747812,
      2.3409219410083795,
      2.282101125841929,
      2.2271917043771015,
      2.1758452313670067,
      2.1276722302269526,
      2.08230071215778,
      2.039391206956313,
      1.9986187045331303,
      1.9596912347780064,
      1.9223695426982663,
      1.8864673304856066,
      1.8518373939822004,
      1.8183585439980547,
      1.7859250549333294,
      1.754449667730814,
      1.7238619620632478,
      1.6941039003437497,
      1.665126640110175,
      1.6368882079434497,
      1.6093494563833943,
      1.5824742857630547,
      1.5562312999280679,
      1.5305926651683635,
      1.5055333070228574,
      1.4810303370951696,
      1.4570626392267207,
      1.433610568476532,
      1.4106557288633066,
      1.3881808064125511,
      1.366169718986994,
      1.3446080132463165,
      1.3234820513714702,
      1.3027791113436444,
      1.28248677508327,
      1.262592877620802,
      1.2430855814084847,
      1.2239534196810873,
      1.2051853201426372,
      1.1867706123571935,
      1.1686990280519296,
      1.1509606939100065,
      1.1335461551691581,
      1.1164470789955359,
      1.0996559227609126,
      1.0831655149358363,
      1.0669686846542281,
      1.0510582221669307,
      1.0354269771697833,
      1.020068211054824,
      1.0049765013982648,
      0.9901465161107288,
      0.9755726407731589,
      0.9612491391665601,
      0.9471702598489323,
      0.9333303055136026,
      0.9197236773686659,
      0.9063449028689644,
      0.8931890721234802,
      0.880252857710273,
      0.867532806326643,
      0.8550250451940389,
      0.8427254681971851,
      0.8306298593446353,
      0.8187339742866327,
      0.8070335940267612,
      0.7955245586476822,
      0.7842027888280974,
      0.7730642984195174,
      0.7621052020946615,
      0.7513217180180406,
      0.7407101687070465,
      0.7302669805213796,
      0.7199886812720158,
      0.7098718980786863,
      0.6999133543468795,
      0.690109866587,
      0.6804583417196273,
      0.6709557734748101,
      0.6615992324457174,
      0.6523858179949569,
      0.6433126977065204,
      0.6343771393579717,
      0.6255764512288131,
      0.6169075425946553,
      0.6083672581991267,
      0.5999527446736816,
      0.5916613720544837,
      0.5834906801913365,
      0.5754383414644318,
      0.5675021347324133,
      0.5596799271715364,
      0.5519696612213981,
      0.5443693448340752,
      0.5368770448860793,
      0.5294908822725807,
      0.5222090274116153,
      0.5150296971501926,
      0.5079511524651149,
      0.5009716962772802,
      0.49408967161347234,
      0.48730345989198437,
      0.48061147949061817,
      0.4740121842967915,
      0.4675040628819564,
      0.46108563700816124,
      0.4547554607952896,
      0.44851211951067493,
      0.44235422887640213,
      0.4362804120830833,
      0.4302892855572227,
      0.4243795072031571,
      0.4185497782974243,
      0.4127988371074141,
      0.40712545461700966,
      0.4015284315358707,
      0.3960065956210414,
      0.3905587999688031,
      0.38518392176669763,
      0.3798808609215189,
      0.3746485393005687,
      0.36948589982476154,
      0.3643919056949218,
      0.3593653752493385,
      0.3544049873722498,
      0.34950953044481575,
      0.34467789313564856,
      0.3399090379662349,
      0.33520198299527393,
      0.3305557893210471,
      0.3259695520830301,
      0.3214423944111303,
      0.3169734629550915,
      0.3125619350517776,
      0.3082072027877198,
      0.30390891026899053,
      0.2996667715739523,
      0.29548074080370307,
      0.29135076081328865,
      0.2872765244748998,
      0.2832575619441839,
      0.27929329836518263,
      0.27538309905679054,
      0.27152636434621985,
      0.2677225107659572,
      0.2639710254519989,
      0.2602716416666612,
      0.25662399213210546,
      0.2530275824044802,
      0.2494818365292361,
      0.2459861275382041,
      0.24253979797921482,
      0.23914217379993444,
      0.23579257342018312,
      0.23249031414038215,
      0.22923471596090034,
      0.22602510426640748,
      0.22286081153907383,
      0.21974117857795575,
      0.2166655088339447,
      0.21363306011857106,
      0.21064312728030174,
      0.2076950421880983,
      0.20478816465086175,
      0.20192187633802355,
      0.19909557654625207,
      0.1963086793270064,
      0.1935606113412369,
      0.19085081066225915,
      0.18817872588753282,
      0.18554381503479445,
      0.18294554531284415,
      0.18038339260928252,
      0.17785684127889223,
      0.17536538362172133,
      0.1729085198255713,
      0.17048575796561102,
      0.16809661354051258,
      0.16574060940897314,
      0.16341727575734633,
      0.16112614976787348,
      0.15886677556633577,
      0.15663870421937254,
      0.15444149350232064,
      0.15227470767885365,
      0.15013791759065773,
      0.14803070043480657,
      0.14595263969187156,
      0.14390332498932562,
      0.14188235211602407,
      0.1398893227043277,
      0.13792384426630033,
      0.13598552998635402,
      0.13407399882292548,
      0.13218887525204712,
      0.13032978932027994,
      0.12849637646611242,
      0.1266882773960566,
      0.12490513806590506,
      0.123146609436474,
      0.12141234765820096,
      0.11970201390306412,
      0.11801527410438806,
      0.11635179915045707,
      0.11471126462326314,
      0.11309335069848492,
      0.1114977422003818,
      0.10992412851906253,
      0.10837220338978437,
      0.1068416650238434,
      0.105332215961535,
      0.10384356303493765,
      0.10237541720490163,
      0.10092749346285841,
      0.09949951094329677,
      0.09809119278294388,
      0.09670226603183396,
      0.09533246161579134,
      0.09398151430576648,
      0.09264916256671697,
      0.09133514862939765,
      0.09003921835843531,
      0.08876112133694525,
      0.08750061046784252,
      0.08625744217827659,
      0.08503137642954617,
      0.08382217656148354,
      0.08262960924100393,
      0.0814534443300357,
      0.08029345501634393,
      0.07914941759002568,
      0.07802111161610203,
      0.07690831965442245,
      0.07581082737224565,
      0.07472842336859128,
      0.07366089924157795,
      0.07260804946299343,
      0.07156967149229672,
      0.07054556550055452,
      0.06953553459115401,
      0.06853938456344637,
      0.06755692382623638,
      0.06658796348924755,
      0.06563231744892314,
      0.06468980213427668,
      0.06376023640547702,
      0.06284344170600278,
      0.061939242011402676,
      0.061047463707913266,
      0.0601679356295584,
      0.05930048899907138,
      0.058444957432141516,
      0.057601176756349015,
      0.0567689850993721,
      0.05594822276592562,
      0.05513873251125863,
      0.054340359082463395,
      0.05355294937506677,
      0.05277635245434442,
      0.05201041951472861,
      0.05125500380278406,
      0.05050996066271062,
      0.04977514730945774,
      0.04905042293976078,
      0.04833564875550219,
      0.04763068792128291,
      0.04693540538318927,
      0.04624966801545995,
      0.04557334455521225,
      0.044906305620396554,
      0.04424842341058721,
      0.04359957206262361,
      0.042959627434708984,
      0.042328467008375364,
      0.04170597005764814,
      0.041092017433523836,
      0.040486491640993494,
      0.0398892769191205,
      0.03930025912420488,
      0.03871932555867809,
      0.0381463650982595,
      0.03758126819781985,
      0.03702392677280578,
      0.036474234245519724,
      0.03593208557168998,
      0.035397377069241016,
      0.034870006491144113,
      0.03434987306203758,
      0.033836877412656265,
      0.033330921503713876,
      0.032831908609086406,
      0.03233974327830344,
      0.0318543314442725,
      0.03137558046614329,
      0.03090339890107565,
      0.030437696411008363,
      0.029978383979065434,
      0.029525373873301855,
      0.02907857958063219,
      0.028637915802670045,
      0.0282032983989845,
      0.027774644373017524,
      0.027351871719227556,
      0.026934899738700672,
      0.02652364881246504,
      0.026118040452721262,
      0.025717997110269442,
      0.0253234423546418,
      0.024934300784926797,
      0.02455049814813984,
      0.024171961156924243,
      0.023798617469900914,
      0.02343039592362371,
      0.023067226222261546,
      0.022709038986883298,
      0.02235576581463268,
      0.02200733922715566,
      0.02166369279434369,
      0.021324760912498172,
      0.020990478814451107,
      0.02066078260853177,
      0.020335609594549078,
      0.02001490026940385,
      0.019698597242184635,
      0.0193866425031553,
      0.019078977839119115,
      0.018775545489457073,
      0.01847628807878538,
      0.018181148608312263,
      0.0178900706906413,
      0.017602998742179698,
      0.0173198777270586,
      0.01704065338681071,
      0.016765272192991967,
      0.016493681251862125,
      0.016225828434226472,
      0.015961662311101514,
      0.01570113208545673,
      0.015444187787746345,
      0.01519077999707244,
      0.014940860080075414,
      0.014694380006539148,
      0.014451292479163345,
      0.01421155078627297,
      0.013975108777788231,
      0.013741921033935192,
      0.013511942750759667,
      0.013285129857033624,
      0.013061438676128578,
      0.012840826174381674,
      0.012623250142359975,
      0.012408668742802623,
      0.012197040722152719,
      0.0119883253947576,
      0.011782482674271134,
      0.011579473049899064,
      0.011379257590634803,
      0.011181797741387311,
      0.010987055534460048,
      0.01079499361866848,
      0.010605575057119166,
      0.010418763542638543,
      0.010234523070609694,
      0.010052818320392107,
      0.009873614452885218,
      0.009696876980355583,
      0.009522572031909995,
      0.00935066601687885,
      0.009181125855698247,
      0.009013919117321328,
      0.008849013656412868,
      0.008686377722747118,
      0.008525980192700481,
      0.008367790250121973,
      0.008211777494311947,
      0.008057911922476462,
      0.007906163983743926,
      0.007756504507746787,
      0.007608904799987758,
      0.007463336484848115,
      0.007319771604042452,
      0.007178182532305465,
      0.0070385420408471625,
      0.0069008233748556,
      0.006765000110332395,
      0.006631045166731634,
      0.006498925001233324,
      0.0063686053863335045,
      0.006240055587666449,
      0.00611324726988924,
      0.005988153985004345,
      0.005864750508700292,
      0.005743012722485992,
      0.00562291726451494,
      0.005504441412532777,
      0.005387562841948954,
      0.005272259767441487,
      0.0051585107109102845,
      0.005046294550821118,
      0.004935590560303268,
      0.004826378357478116,
      0.004718637749089343,
      0.004612348848590162,
      0.004507492016967202,
      0.004404048008535062,
      0.0043019977870492575,
      0.004201322533702223,
      0.004102003745173082,
      0.004004023211646287,
      0.003907362811887877,
      0.0038120048110413494,
      0.003717931701930362,
      0.003625126123634153,
      0.003533571015944782,
      0.0034432494888957704,
      0.0033541448962323595,
      0.0032662408082771086,
      0.003179521138422308,
      0.003093969908006688,
      0.0030095714001191786,
      0.0029263100594903936,
      0.002844170546028549,
      0.0027631377827586397,
      0.00268319683312859,
      0.0026043329184266243,
      0.0025265316017411992,
      0.0024497785085377593,
      0.0023740595373948565,
      0.002299360830152111,
      0.0022256686665130176,
      0.002152969429324544,
      0.002081249710200105
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567207899494456,
      10.338303599807071,
      10.10219279470873,
      9.861712644782173,
      9.619194229038648,
      9.376679997576998,
      9.135925951111744,
      8.898369873946418,
      8.665176618738823,
      8.437235156031836,
      8.215159265444713,
      7.999301634411972,
      7.789779550685284,
      7.586509593613572,
      7.389246641966876,
      7.197621502847312,
      7.011178234953042,
      6.829406675434287,
      6.65177687652328,
      6.477765010961037,
      6.306867630228707,
      6.138623039601523,
      5.972629059457238,
      5.808546672276657,
      5.646107646297323,
      5.485118560272724,
      5.325458459179911,
      5.167082675840861,
      5.010019311665148,
      4.854370422042586,
      4.700296172273492,
      4.54801319805551,
      4.397787419287311,
      4.2499324613264875,
      4.104806940292181,
      3.962817539755238,
      3.824378276365448,
      3.6898869532925875,
      3.5597137728699453,
      3.4341915208689113,
      3.31360771207392,
      3.1981989273898206,
      3.088147582246178,
      2.983581891139267,
      2.8845676320476437,
      2.7911113635256273,
      2.703158384149928,
      2.6205909347136416,
      2.5432555616532944,
      2.4709426272514787,
      2.403407760023635,
      2.340389184542632,
      2.2815942235393707,
      2.2267072367267344,
      2.175379344017053,
      2.127220855880598,
      2.081860223722972,
      2.0389582245014872,
      1.9981901731263585,
      1.9592647305790494,
      1.9219432794352702,
      1.8860399906860166,
      1.8514079766768394,
      1.8179262452314466,
      1.785489184720888,
      1.7540097626306013,
      1.7234177206734687,
      1.6936551369855117,
      1.664673251881812,
      1.636430163258002,
      1.6088867832651337,
      1.58200703236934,
      1.555759527998465,
      1.5301164457419838,
      1.505052717818472,
      1.480545459623539,
      1.4565735571609983,
      1.4331173660589183,
      1.410158490261214,
      1.3876796160220088,
      1.3656646824177852,
      1.344099237454979,
      1.3229696652683955,
      1.3022632404659957,
      1.2819675291696584,
      1.2620703546277472,
      1.2425598707740138,
      1.223424604986145,
      1.2046534802542144,
      1.186235822780828,
      1.1681613616788746,
      1.1504202215145567,
      1.1330029616256883,
      1.1159012702750364,
      1.099107598977507,
      1.0826147769815173,
      1.0664156209466347,
      1.0505029121730025,
      1.0348694941023513,
      1.019508724410299,
      1.0044152778889355,
      0.9895837535442711,
      0.9750084899760902,
      0.9606837187897441,
      0.9466036664295556,
      0.9327626202335232,
      0.9191549708936608,
      0.9057752386334849,
      0.8926187502875467,
      0.8796822159891201,
      0.8669620827364711,
      0.8544544101723124,
      0.8421550464347832,
      0.8300597449401466,
      0.8181642405266774,
      0.8064642996452003,
      0.7949557526124348,
      0.7836345134125143,
      0.7724965917357131,
      0.7615380987720783,
      0.750755250369888,
      0.7401443675983311,
      0.7297018752038494,
      0.7194243003480834,
      0.7093082695616442,
      0.6993505056825675,
      0.6895478249941912,
      0.6798971337556866,
      0.6703954254794267,
      0.6610397692953947,
      0.6518272624522581,
      0.6427550732908227,
      0.6338204697476435,
      0.625020777991545,
      0.6163529330625712,
      0.6078137652628005,
      0.5994004114383434,
      0.5911102348501133,
      0.5829407706121462,
      0.5748896877745472,
      0.5669547629994948,
      0.5591338616469276,
      0.5514249248348017,
      0.5438259596511323,
      0.5363350322252862,
      0.5289502627621763,
      0.5216698210625316,
      0.5144919236750606,
      0.5074148310298956,
      0.5004368455756733,
      0.49355630990826055,
      0.4867716048961752,
      0.4800811484952707,
      0.4734833944191315,
      0.4669768307978951,
      0.4605599790347157,
      0.45423139283926256,
      0.4479896570613401,
      0.4418333869154596,
      0.43576122701513864,
      0.4297718443982663,
      0.4238638944783355,
      0.41803605377073183,
      0.4122870439218091,
      0.40661562449467825,
      0.4010205882043149,
      0.39550075741767654,
      0.39005498158283924,
      0.38468213512442806,
      0.37938111608291775,
      0.37415084491270734,
      0.3689902635668931,
      0.36389833443586056,
      0.3588738542595118,
      0.35391549965454466,
      0.3490220662503383,
      0.34419244777827235,
      0.33942561028771373,
      0.33472057417108486,
      0.33007640181152165,
      0.3254921892603868,
      0.3209670601231958,
      0.3165001613426896,
      0.3120907167128497,
      0.30773819685470255,
      0.30344224534167447,
      0.2992026052151907,
      0.29501928760236845,
      0.29089215958677933,
      0.28682086367390475,
      0.2828048961086927,
      0.27884365923673937,
      0.2749365100868213,
      0.27108285178152913,
      0.2672820891013246,
      0.2635337322521553,
      0.25983751048814113,
      0.25619303949708744,
      0.25259981327390857,
      0.24905724796229972,
      0.24556471121300327,
      0.24212154201668404,
      0.23872706392350676,
      0.23538059386288485,
      0.23208144802214686,
      0.22882894572381354,
      0.22562241176176337,
      0.22246117840289184,
      0.21934458617128413,
      0.21627192832174083,
      0.21324246179442782,
      0.21025548517578485,
      0.20731033284498554,
      0.20440636646160298,
      0.2015429687894796,
      0.19871953991190008,
      0.1959354943986345,
      0.19319025940304146,
      0.1904832733130895,
      0.1878139846975264,
      0.18518185181150862,
      0.18258634201088403,
      0.1800269311759071,
      0.17750310368912525,
      0.1750143520145668,
      0.17256017632157827,
      0.1701400846871386,
      0.16775359266931564,
      0.16540022316673408,
      0.16307950634704707,
      0.1607909794673925,
      0.15853418667489683,
      0.15630867907969243,
      0.15411401445241962,
      0.15194975718105447,
      0.14981547813136975,
      0.14771075449995777,
      0.14563516982466465,
      0.14358831378371534,
      0.14156978208905788,
      0.1395791764094418,
      0.13761610441224786,
      0.13568017935274324,
      0.1337710200993005,
      0.13188825126413564,
      0.13003150296979868,
      0.12820041069609,
      0.12639461515566436,
      0.12461376231313696,
      0.1228575034203669,
      0.12112549449550929,
      0.1194173967078017,
      0.11773287614208083,
      0.11607160370634456,
      0.11443325496579358,
      0.11281751025875213,
      0.11122405447176344,
      0.10965257699494983,
      0.10810277167935181,
      0.1065743368341544,
      0.10506697500980065,
      0.10358039308800103,
      0.10211430201644797,
      0.10066841697779177,
      0.09924245706350253,
      0.09783614557179508,
      0.09644920959441533,
      0.09508138013812481,
      0.09373239199259041,
      0.09240198380163837,
      0.09108989781723352,
      0.0897958799969077,
      0.08851967988471329,
      0.08726105051747728,
      0.08601974845787921,
      0.0847955337411966,
      0.08358816967839094,
      0.08239742300490627,
      0.08122306369768789,
      0.08006486503312622,
      0.07892260338278434,
      0.07779605836737168,
      0.07668501267830158,
      0.07558925199972538,
      0.07450856498570839,
      0.07344274337220233,
      0.07239158185180283,
      0.07135487780381335,
      0.0703324314918218,
      0.0693240459789377,
      0.06832952724443137,
      0.06734868379260356,
      0.06638132684306,
      0.06542727025768269,
      0.06448633062377102,
      0.06355832690143498,
      0.06264308066537704,
      0.06174041597765123,
      0.0608501592794025,
      0.05997213948834277,
      0.059106187831940354,
      0.05825213805842128,
      0.05740982609376873,
      0.05657909016204837,
      0.055759770726508034,
      0.05495171040725175,
      0.05415475412624502,
      0.05336874894333266,
      0.052593544020881566,
      0.051828990647149555,
      0.051074942054719616,
      0.05033125358978165,
      0.049597782650585405,
      0.048874388567238226,
      0.04816093255200276,
      0.04745727787348415,
      0.046763289624670995,
      0.04607883474307403,
      0.04540378205996465,
      0.044738002207574665,
      0.044081367529618755,
      0.04343375218001518,
      0.042795032084917625,
      0.042165084787938595,
      0.041543789619317005,
      0.04093102751242805,
      0.04032668121798241,
      0.03973063500641595,
      0.03914277473571576,
      0.03856298778833312,
      0.03799116325915003,
      0.037427191602702234,
      0.036870964832823185,
      0.036322376422767456,
      0.03578132140525496,
      0.03524769626501648,
      0.034721398780196984,
      0.034202328221215154,
      0.03369038526624386,
      0.03318547196676806,
      0.03268749168936831,
      0.03219634907272896,
      0.03171195015761673,
      0.031234202373027375,
      0.030763014292183727,
      0.03029829573350028,
      0.02983995777073307,
      0.02938791276408123,
      0.028942074243384772,
      0.028502356954926072,
      0.02806867676373624,
      0.027640950718870003,
      0.027219097028138108,
      0.026803035005360947,
      0.026392685104658118,
      0.025987968851121857,
      0.025588808788032862,
      0.02519512865763187,
      0.02480685315965068,
      0.024423908153176695,
      0.024046220404281803,
      0.023673717624133596,
      0.023306328529469435,
      0.022943982862545488,
      0.022586611427657066,
      0.02223414604300528,
      0.0218865191972864,
      0.02154366445353068,
      0.021205516201245098,
      0.020872009832331357,
      0.020543081653362875,
      0.020218668794964624,
      0.01989871140787401,
      0.01958315211104046,
      0.01927193310129968,
      0.018964996588896135,
      0.01866228494613021,
      0.018363740844185475,
      0.01806930739744951,
      0.017778928405038193,
      0.01749254818746116,
      0.01721011183941858,
      0.016931565135299472,
      0.016656854596473893,
      0.0163859274663679,
      0.016118731738857247,
      0.015855215986178155,
      0.015595329532671917,
      0.015339022370654577,
      0.015086245186848807,
      0.014836949296445547,
      0.014591086751131147,
      0.01434861034816984,
      0.014109473438948101,
      0.013873629949673793,
      0.013641034557012169,
      0.013411642497407677,
      0.01318540970971338,
      0.012962292656006033,
      0.012742248392614754,
      0.012525234579696858,
      0.012311209493241259,
      0.012100131976207778,
      0.01189196137847711,
      0.01168665770926256,
      0.011484181582099873,
      0.011284493888348963,
      0.011087556261170618,
      0.010893330848432812,
      0.010701780284850124,
      0.010512867806733436,
      0.010326557012051242,
      0.01014281211830573,
      0.009961597777719823,
      0.009782879059409355,
      0.00960662157306824,
      0.009432791378595368,
      0.009261355088315729,
      0.009092279774153103,
      0.008925532838290198,
      0.008761082273347076,
      0.008598896498745567,
      0.00843894433210879,
      0.008281194943220334,
      0.008125618025595903,
      0.007972183601383315,
      0.007820862208915804,
      0.007671624818919149,
      0.007524442606161123,
      0.007379287319699842,
      0.007236131076611809,
      0.007094946341654271,
      0.006955705952728577,
      0.006818383046145753,
      0.006682951320118139,
      0.0065493846897956695,
      0.006417657452076005,
      0.006287744292743214,
      0.006159620289137844,
      0.006033260691347666,
      0.005908635775529453,
      0.005785712462489249,
      0.0056644610200080854,
      0.005544854315660613,
      0.005426866947302327,
      0.005310474927010269,
      0.005195655319983706,
      0.005082385931712212,
      0.00497064511290768,
      0.0048604118463574045,
      0.004751665473517979,
      0.00464438568337047,
      0.0045385525345089835,
      0.004434146542349368,
      0.004331148430818003,
      0.0042295391011287434,
      0.004129299862416887,
      0.004030412167262292,
      0.003932857755304304,
      0.0038366186260074204,
      0.0037416771334863592,
      0.0036480155800487283,
      0.003555616731895332,
      0.0034644636624884353,
      0.0033745395461675662,
      0.0032858278591907757,
      0.003198312257730105,
      0.003111976583565176,
      0.003026804947087981,
      0.002942781633059712,
      0.0028598911342747977,
      0.002778118211657641,
      0.0026974477833841795,
      0.0026178649739883922,
      0.002539355119484531,
      0.002461903798931468,
      0.0023854967586618755,
      0.002310119875472915,
      0.0022357592347571563,
      0.0021624011712904636,
      0.002090032151811692,
      0.0020186388365845635
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567200029303823,
      10.338277431047935,
      10.102140357257253,
      9.861628593350648,
      9.619074947915728,
      9.376523177832647,
      9.135730349985359,
      8.898135075963966,
      8.664902733035989,
      8.436922622911672,
      8.214808685461552,
      7.998913638217929,
      7.789354701326088,
      7.586048331027684,
      7.388749248140726,
      7.197088095279348,
      7.01060875587656,
      6.82880085885292,
      6.651134432140621,
      6.477085798652857,
      6.306151628776103,
      6.13787042178283,
      5.971840339175504,
      5.807722648822349,
      5.645249420694445,
      5.484227581082874,
      5.324536574597608,
      5.166132198015085,
      5.009043018785816,
      4.85337145499431,
      4.699277954044006,
      4.546979673660396,
      4.396743065360581,
      4.24888209252924,
      4.10375603599506,
      3.961772065276882,
      3.823343999162468,
      3.688869343220424,
      3.558717906976942,
      3.4332220002919493,
      3.312668595938971,
      3.197293686049432,
      3.0872790624606465,
      2.982752304786502,
      2.883778374087056,
      2.7903630751473374,
      2.702450591521765,
      2.619922379141146,
      2.5426243132010247,
      2.470346017695648,
      2.4028431043398237,
      2.339853567277903,
      2.2810844315577032,
      2.2262198604632304,
      2.174910536726026,
      2.126766560905121,
      2.081416825201071,
      2.038522352656435,
      1.997758783076029,
      1.9588354055755606,
      1.9215142373712408,
      1.8856099168364062,
      1.8509758717481142,
      1.8174913063209723,
      1.7850507220877398,
      1.7535673120818904,
      1.7229709800975115,
      1.6932039199510809,
      1.6642174547101893,
      1.635969751695792,
      1.6084217832901841,
      1.5815374912374605,
      1.5552855068936466,
      1.529638014897789,
      1.504569953352524,
      1.4800584416293012,
      1.4560823678870283,
      1.4326220891918517,
      1.409659209581194,
      1.3871764144964056,
      1.3651576644169747,
      1.3435885090982302,
      1.3224553542261692,
      1.3017454708957752,
      1.2814464093493798,
      1.2615459814368555,
      1.2420323330655525,
      1.2228939857467866,
      1.2041198579573753,
      1.1856992724913011,
      1.1676219553993865,
      1.1498780293493975,
      1.1324580677993379,
      1.115353780489796,
      1.0985576137710888,
      1.0820623962306262,
      1.0658609321957917,
      1.0499459941109033,
      1.0343104192617296,
      1.0189477245037972,
      1.00385259816205,
      0.9890195774678675,
      0.9744429585922453,
      0.9601169439257202,
      0.9460357398340667,
      0.9321936196672922,
      0.918584964201679,
      0.9052042870262403,
      0.8920471670034834,
      0.8791103334682566,
      0.8663901354131445,
      0.8538825663832077,
      0.8415834294862528,
      0.8294884471420846,
      0.817593333631795,
      0.805893841462478,
      0.7943857913354753,
      0.7830650907922871,
      0.7719277447491021,
      0.760969861291005,
      0.7501876542502859,
      0.7395774434470164,
      0.7291356525697812,
      0.7188588076706458,
      0.708743534714606,
      0.6987865559460611,
      0.6889846871663151,
      0.6793348342775051,
      0.6698339902690954,
      0.6604792227053641,
      0.651267627152056,
      0.6421963724002169,
      0.6332627269001913,
      0.6244640347851113,
      0.6157972566051741,
      0.6072592081443202,
      0.598847016411872,
      0.5905580379181017,
      0.5823898031159581,
      0.5743399777239031,
      0.5664063361794639,
      0.5585867421256069,
      0.5508791353812282,
      0.543281522167349,
      0.5357919678630835,
      0.5284085917249303,
      0.521129563160965,
      0.5139530982130059,
      0.5068774569620292,
      0.4999009413780255,
      0.49302189354241727,
      0.48623869407136733,
      0.4795497607201054,
      0.4729535465635265,
      0.4664485393344723,
      0.46003326009487755,
      0.453706262160959,
      0.44746613008344444,
      0.44131147876409366,
      0.43524095240737326,
      0.42925322364366375,
      0.4233469928009927,
      0.41752096270764255,
      0.4117738328868918,
      0.40610434307626975,
      0.40051127230012945,
      0.39499343351141536,
      0.3895496697365105,
      0.3841788508493948,
      0.37887987183499244,
      0.3736516509108584,
      0.368493128421626,
      0.3634032657430586,
      0.35838083761179923,
      0.35342451794783064,
      0.34853310991178693,
      0.3437055121488609,
      0.3389406939099119,
      0.3342376777462275,
      0.3295955276327318,
      0.32501334045719565,
      0.3204902403520422,
      0.3160253745653815,
      0.31161804776126784,
      0.3072677750368475,
      0.3029741963819409,
      0.2987371199169606,
      0.29455655794264923,
      0.29043230961530425,
      0.2863639718204184,
      0.28235101017740266,
      0.2783928067939822,
      0.27448871455558316,
      0.27063813821150795,
      0.2668404689297715,
      0.26309524125596745,
      0.259402180999226,
      0.255760886900883,
      0.25217084174568277,
      0.24863145403421127,
      0.24514208635649523,
      0.24170207428751234,
      0.23831073895589436,
      0.2349673957250577,
      0.23167135968231872,
      0.2284219494336954,
      0.2252184892829046,
      0.22206031124184977,
      0.21894675571041683,
      0.21587710552880088,
      0.21285061678835998,
      0.20986659191161608,
      0.20692436789893054,
      0.20402330802743016,
      0.20116279637996096,
      0.1983422338216796,
      0.19556103552537416,
      0.1928186289545249,
      0.19011445270545457,
      0.18744795561838032,
      0.18481859606662462,
      0.18222584142109355,
      0.1796691677527767,
      0.17714805942887077,
      0.17466200884318825,
      0.17221051634424372,
      0.16979309010031818,
      0.16740924565315404,
      0.1650585059543795,
      0.16274040124917896,
      0.1604544687306297,
      0.15820025254262352,
      0.15597730385866476,
      0.15378518053413,
      0.1516234469672792,
      0.14949167406746547,
      0.14738943910100805,
      0.14531632560603788,
      0.1432719232864477,
      0.14125582795533884,
      0.1392676412544996,
      0.13730697075930753,
      0.13537342989772055,
      0.13346663769567882,
      0.1315862187808616,
      0.12973180319956357,
      0.12790302654273028,
      0.12609952968805838,
      0.12432095864750409,
      0.12256696451943039,
      0.12083720354580288,
      0.1191313368483253,
      0.11744903054897166,
      0.11578995565793979,
      0.11415378782506008,
      0.11254020743043561,
      0.11094889936555029,
      0.1093795531347763,
      0.10783186271725627,
      0.10630552638636101,
      0.10480024675962064,
      0.10331573074830108,
      0.1018516893752684,
      0.1004078379690391,
      0.09898389581911747,
      0.09757958609892263,
      0.09619463597373028,
      0.09482877660752392,
      0.093481742884847,
      0.09215327339350472,
      0.09084311045779636,
      0.08955100005145339,
      0.08827669186313097,
      0.08701993908226172,
      0.08578049831785113,
      0.08455812963120263,
      0.08335259648201339,
      0.08216366568993987,
      0.08099110725185256,
      0.07983469451410777,
      0.07869420398447244,
      0.07756941534638617,
      0.076460111274438,
      0.07536607759783141,
      0.07428710316663921,
      0.07322297964940609,
      0.07217350170055635,
      0.0711384668489711,
      0.07011767554000635,
      0.06911093094676368,
      0.06811803898836126,
      0.06713880842173771,
      0.06617305048268989,
      0.06522057921048922,
      0.06428121110832148,
      0.06335476526454673,
      0.06244106328930021,
      0.06153992932104887,
      0.06065119000425767,
      0.05977467427919048,
      0.05891021350465331,
      0.05805764135755705,
      0.057216793896805694,
      0.05638750949634698,
      0.055569628732681536,
      0.054762994303076976,
      0.053967451158135664,
      0.053182846595378926,
      0.052409029632978915,
      0.05164585167538461,
      0.050893166074309826,
      0.050150828247587924,
      0.049418695719622714,
      0.048696627813906414,
      0.047984485962872594,
      0.047282133424689066,
      0.04658943530258564,
      0.04590625870817588,
      0.045232472524981575,
      0.04456794747803373,
      0.043912556086078774,
      0.04326617254783775,
      0.04262867282833121,
      0.04199993462488183,
      0.041379837406670526,
      0.04076826225395907,
      0.04016509188189634,
      0.039570210549646004,
      0.038983504175696446,
      0.03840486038650512,
      0.037834168189847896,
      0.03727131809902621,
      0.03671620230080628,
      0.03616871430487633,
      0.03562874930492842,
      0.03509620381098453,
      0.03457097568479276,
      0.03405296431371578,
      0.0335420704693715,
      0.03303819621933889,
      0.03254124501877125,
      0.032051121613220414,
      0.03156773215656239,
      0.031090984016319836,
      0.03062078599372658,
      0.03015704796740712,
      0.029699681021748855,
      0.029248597573060905,
      0.028803711234202514,
      0.02836493682989777,
      0.02793219038818053,
      0.027505389021958142,
      0.02708445094214525,
      0.0266692955448539,
      0.026259843375958065,
      0.025856016068492006,
      0.02545773631590309,
      0.025064927798749474,
      0.024677515369323118,
      0.024295424840390364,
      0.023918582987439263,
      0.023546917783775295,
      0.023180358086721857,
      0.02281883366446137,
      0.02246227532822579,
      0.02211061471219603,
      0.021763784597662508,
      0.021421718662238652,
      0.021084351455578867,
      0.020751618333936978,
      0.0204234556077142,
      0.020099800559222798,
      0.019780592716695144,
      0.019465774654853614,
      0.01915528906004065,
      0.018849078270478308,
      0.018547084750161737,
      0.018249251289464082,
      0.017955521162719857,
      0.017665838217462756,
      0.017380146972480692,
      0.01709839261028543,
      0.016820520927558764,
      0.016546478561682412,
      0.01627621271805378,
      0.016009671414576668,
      0.015746803386042323,
      0.015487557965942896,
      0.015231885193163175,
      0.014979735876793448,
      0.014731061454225026,
      0.014485813985232278,
      0.014243946307457924,
      0.014005411775037993,
      0.013770164476549803,
      0.013538159099470707,
      0.013309350860763297,
      0.013083695712615575,
      0.0128611503479579,
      0.012641671839768172,
      0.012425217918112286,
      0.012211746893063148,
      0.012001217695077369,
      0.01179358972639805,
      0.011588823070961533,
      0.011386878248576003,
      0.011187716371789608,
      0.010991299018682043,
      0.01079758829861258,
      0.010606547039113567,
      0.010418138419589782,
      0.010232326189640324,
      0.010049074532265426,
      0.00986834817798034,
      0.009690112336183474,
      0.009514332654158403,
      0.009340975260430285,
      0.009170006765386514,
      0.009001394225684262,
      0.008835105193218423,
      0.008671107689405762,
      0.008509370149784281,
      0.00834986140182882,
      0.008192550778160038,
      0.008037407932285441,
      0.007884402974350212,
      0.007733506448964669,
      0.0075846892514729106,
      0.007437922812795324,
      0.00729317885361462,
      0.007150429489762788,
      0.007009647262738292,
      0.006870805095519429,
      0.006733876103495736,
      0.00659883400438995,
      0.006465652779603314,
      0.006334306801157007,
      0.006204770807548242,
      0.0060770198298149055,
      0.005951029259035415,
      0.005826774832613695,
      0.005704232621460617,
      0.005583379063408422,
      0.005464190908961066,
      0.005346643820173977,
      0.005230707618302516,
      0.0051163525970377,
      0.00500355201912621,
      0.004892281210066004,
      0.004782516984292858,
      0.004674237229719354,
      0.004567420814737955,
      0.004462047129964286,
      0.004358096280929521,
      0.004255548710884883,
      0.004154385213387049,
      0.0040545869265748114,
      0.00395613529761405,
      0.0038590119968622506,
      0.0037631990624414466,
      0.003668678893075592,
      0.0035754339755991672,
      0.0034834470389167715,
      0.0033927011833207736,
      0.0033031796550389257,
      0.003214865882326937,
      0.0031277435187431176,
      0.003041796493161589,
      0.0029570090676750067,
      0.0028733655786306713,
      0.002790850559575197,
      0.0027094487188551583,
      0.0026291450575261876,
      0.002549924797757046,
      0.0024717733312289956,
      0.0023946762254872765,
      0.002318619294367465,
      0.002243588440554457,
      0.002169569803830078,
      0.0020965497957415157,
      0.002024514925311704,
      0.001953451873318357
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567192160943941,
      10.338251264930172,
      10.102087917354542,
      9.861544525238322,
      9.618955626052276,
      9.37636623397116,
      9.135534488575043,
      8.89789988608903,
      8.664628329330142,
      8.436609448427326,
      8.214457344695521,
      7.9985247658893535,
      7.788928866047712,
      7.58558597845865,
      7.388250664529954,
      7.196553399994446,
      7.010037894586232,
      6.828193569066119,
      6.65049042495365,
      6.476404934850447,
      6.305433886222908,
      6.1371159739300305,
      5.971049701508458,
      5.806896621872516,
      5.644389107014583,
      5.483334430451724,
      5.32361243615082,
      5.165179386656258,
      5.008064315963737,
      4.852370006641171,
      4.6982571870897525,
      4.5459435370190615,
      4.3956960391487065,
      4.24782899628664,
      4.10270235580992,
      3.960723773392955,
      3.8223068708535366,
      3.687848855389305,
      3.557719143433468,
      3.4322495693523853,
      3.311726562919273,
      3.196385525329076,
      3.086407624577211,
      2.9819198050523994,
      2.882986210383483,
      2.789611891178031,
      2.7017399169028535,
      2.6192509581656656,
      2.5419901750097633,
      2.4697464642461147,
      2.4022754645739743,
      2.33931493843198,
      2.280571612945877,
      2.2257294325474977,
      2.1744386366159723,
      2.126309143266296,
      2.080970294988436,
      2.0380833501263815,
      1.9973242798098239,
      1.9584029974538117,
      1.9210821513527756,
      1.8851768446184716,
      1.850540818334443,
      1.8170534709957566,
      1.7846094165011654,
      1.7531220728588734,
      1.722521504373267,
      1.6927500202622765,
      1.6637590258329293,
      1.6355067523027587,
      1.6079542359824799,
      1.5810654439654959,
      1.5548090206889764,
      1.5291571598236722,
      1.5040848052007836,
      1.4795690798231325,
      1.455588873623428,
      1.4321245444325268,
      1.4091576965849841,
      1.3866710148735366,
      1.3646484816101927,
      1.3430756481289163,
      1.3219389414558378,
      1.301225629835878,
      1.2809232474900483,
      1.2610195949913645,
      1.2415028097912206,
      1.2223614073157023,
      1.2035843013160954,
      1.1851608114800858,
      1.1670806613586757,
      1.1493339711194603,
      1.1319113284557096,
      1.114804465570241,
      1.0980058285577095,
      1.0815082378008927,
      1.0653044860475858,
      1.0493873378432481,
      1.0337496246167899,
      1.0183850225026014,
      1.003288233766532,
      0.9884537337693519,
      0.973875776263249,
      0.9595485344372808,
      0.9454661942902587,
      0.931623015305338,
      0.9180133688735594,
      0.9046317616697594,
      0.8914740245108199,
      0.8785369062700626,
      0.8658166577662251,
      0.8533092059257021,
      0.8410103087640222,
      0.8289156583052532,
      0.8170209479604773,
      0.8053219164898504,
      0.7938143749746456,
      0.782494224103179,
      0.7713574645737566,
      0.7604002015938022,
      0.7496186467767546,
      0.739009118160712,
      0.7285680382258136,
      0.7182919323223412,
      0.708177425800272,
      0.6982212403881632,
      0.6884201913305766,
      0.6787711843528575,
      0.6692712121015306,
      0.6599173406801109,
      0.6507066636706623,
      0.6416363504209825,
      0.6327036696205097,
      0.6239059786670594,
      0.6152402658475248,
      0.6067033370126719,
      0.5982923089659448,
      0.5900045311787967,
      0.5818375291336196,
      0.5737889651397248,
      0.5658566106991142,
      0.5580383277141063,
      0.5503320548084873,
      0.5427357972115873,
      0.5352476195042233,
      0.5278656403538304,
      0.5205880284995947,
      0.5134129994550087,
      0.5063388127783807,
      0.49936377009171445,
      0.49248621319465524,
      0.48570452220092786,
      0.4790171142112022,
      0.47242244222354823,
      0.46591899352476307,
      0.4595052888378474,
      0.45317988108806784,
      0.44694135437644766,
      0.4407883233186364,
      0.43471943176223754,
      0.42873335192879125,
      0.4228287838068782,
      0.41700445424072025,
      0.41125911060675946,
      0.40559148903239567,
      0.4000003443971746,
      0.39448447304591583,
      0.3890427066555112,
      0.3836739074894213,
      0.3783769651791812,
      0.3731507942638003,
      0.367994332354634,
      0.36290653063360023,
      0.35788614529142937,
      0.3529318557813094,
      0.34804247119624887,
      0.3432168941938297,
      0.3384540965993253,
      0.3337531027553668,
      0.3291129777375535,
      0.3245328192139385,
      0.32001175166193524,
      0.31554893960771546,
      0.3111437690909714,
      0.30679577418914705,
      0.30250459009790803,
      0.2982701080026901,
      0.2940923231104946,
      0.2899709696603822,
      0.2859056010858238,
      0.2818956535287129,
      0.2779404902498875,
      0.2740394604488179,
      0.27019197062422645,
      0.2663973984501749,
      0.2626553028640528,
      0.2589654064574213,
      0.25532729140311805,
      0.25174042919463085,
      0.24820422078591522,
      0.24471802362384204,
      0.2412811698225748,
      0.2378929783099241,
      0.23455276277300366,
      0.23125983727906071,
      0.22801351965693495,
      0.22481313398977265,
      0.22165801183367004,
      0.21854748850734557,
      0.21548083907597623,
      0.2124573234878435,
      0.20947624720806657,
      0.2065369493498081,
      0.20363879462178724,
      0.20078116796257076,
      0.1979634708245995,
      0.1951851187765012,
      0.19244553970292738,
      0.18974417244319391,
      0.18708046601670694,
      0.18445387889889567,
      0.18186387854865868,
      0.17930994109723664,
      0.17679155090539647,
      0.17430820047090262,
      0.17185939020351254,
      0.16944462821273976,
      0.16706343004490334,
      0.1647153187508162,
      0.16239982452037702,
      0.16011648470522452,
      0.15786484356046862,
      0.15564445217681513,
      0.1534548684181717,
      0.15129565666110795,
      0.1491663878574681,
      0.147066639405479,
      0.14499599491782827,
      0.14295404414084273,
      0.14094038286589625,
      0.13895461280698435,
      0.13699634161006868,
      0.13506518270803902,
      0.13316075519310533,
      0.13128268377537564,
      0.12943059858728875,
      0.1276041351692091,
      0.1258029343890659,
      0.12402664227679082,
      0.12227491011598358,
      0.12054739416420376,
      0.11884375570057029,
      0.1171636609490866,
      0.11550678087165171,
      0.11387279116033756,
      0.11226137223231067,
      0.11067220906826825,
      0.10910499124391475,
      0.10755941274724382,
      0.10603517193137418,
      0.10453197153250549,
      0.10304951858177243,
      0.10158752415958341,
      0.10014570354525978,
      0.09872377604329838,
      0.09732146500810779,
      0.09593849772989381,
      0.09457460529533893,
      0.09322952274794442,
      0.09190298879743852,
      0.09059474584710552,
      0.08930453989406213,
      0.08803212065819771,
      0.08677724140611141,
      0.08553965887009649,
      0.08431913314763212,
      0.08311542776512022,
      0.08192830962040651,
      0.08075754883523648,
      0.07960291885781519,
      0.07846419624650379,
      0.07734116062036418,
      0.07623359489745878,
      0.0751412848672406,
      0.07406401949260705,
      0.07300159061232708,
      0.0719537929592745,
      0.07092042415121246,
      0.0699012846822007,
      0.06889617775289185,
      0.0679049094096804,
      0.06692728849383953,
      0.06596312634646673,
      0.06501223692971153,
      0.06407443685898452,
      0.06314954551520957,
      0.06223738450829421,
      0.06133777804018042,
      0.06045055269789505,
      0.05957553765681655,
      0.05871256433960489,
      0.05786146654827876,
      0.05702208040449514,
      0.05619424428911071,
      0.05537779883478171,
      0.0545725869043921,
      0.05377845353060452,
      0.0529952458853166,
      0.052222813333772086,
      0.05146100733167783,
      0.05070968132349283,
      0.049968690871075756,
      0.04923789347855851,
      0.04851714867591033,
      0.04780631783959791,
      0.04710526433854489,
      0.046413853499937326,
      0.04573195237546154,
      0.045059429975760505,
      0.04439615700610201,
      0.04374200600648536,
      0.04309685126943153,
      0.04246056906371881,
      0.041833037124205975,
      0.041214134882428144,
      0.04060374353468722,
      0.0400017458659424,
      0.03940802630536638,
      0.03882247081019122,
      0.03824496706072783,
      0.037675404111752187,
      0.03711367261222986,
      0.03655966484641751,
      0.03601327449533617,
      0.03547439666098151,
      0.03494292795339256,
      0.03441876641481293,
      0.0339018113796199,
      0.03339196373025342,
      0.03288912568199475,
      0.03239320078627655,
      0.0319040938592825,
      0.031421711147815265,
      0.03094596011564783,
      0.030476749435337867,
      0.030013989105192294,
      0.029557590425251967,
      0.02910746588272186,
      0.02866352918209701,
      0.028225695241918806,
      0.027793880078322886,
      0.027368000788318272,
      0.026947975734785943,
      0.026533724430388494,
      0.02612516746459321,
      0.02572222657489803,
      0.025324824404096332,
      0.024932884821104145,
      0.02454633271207217,
      0.024165094010885867,
      0.02378909558740373,
      0.023418265285685788,
      0.023052532067655257,
      0.022691826002249876,
      0.022336078004336332,
      0.021985219742372285,
      0.021639183975152722,
      0.021297904433147167,
      0.020961315654432777,
      0.020629353152945083,
      0.020301953308999175,
      0.019979053457315012,
      0.01966059264592891,
      0.019346513491088704,
      0.019036758866710142,
      0.018731271343988158,
      0.018429993507023675,
      0.018132868370223997,
      0.01783983933323573,
      0.01755085027705537,
      0.017265845814837134,
      0.01698477117009279,
      0.016707572286552837,
      0.016434195832594124,
      0.01616458909383204,
      0.015898700154567014,
      0.01563647762418973,
      0.015377871027416792,
      0.015122830510949724,
      0.014871306915145226,
      0.014623251803846262,
      0.014378617338213145,
      0.014137356318163407,
      0.013899422143282844,
      0.013664768923097396,
      0.013433351449516146,
      0.013205125095951785,
      0.012980045845838752,
      0.012758070272596242,
      0.012539155630244598,
      0.012323259768383827,
      0.012110340947771551,
      0.011900358147327213,
      0.011693270896922375,
      0.011489039220333813,
      0.011287623764604118,
      0.011088985556706406,
      0.01089308644868988,
      0.010699888598865956,
      0.010509354800692093,
      0.010321448247448376,
      0.010136132718909127,
      0.009953372502572083,
      0.00977313244458008,
      0.009595377678103947,
      0.009420073887334445,
      0.009247187459119508,
      0.009076684981911366,
      0.008908533534881379,
      0.008742700736567589,
      0.008579154668706774,
      0.008417863751052452,
      0.00825879684014071,
      0.008101923323326727,
      0.007947212890414026,
      0.007794635662966586,
      0.007644162229586037,
      0.00749576366411694,
      0.0073494113357613,
      0.0072050770449033465,
      0.007062733026777513,
      0.006922351791785553,
      0.00678390617653396,
      0.0066473695107884595,
      0.006512715487347236,
      0.0063799180523903985,
      0.006248951748602586,
      0.0061197913479327445,
      0.005992411905459971,
      0.005866788864899161,
      0.0057428979812871915,
      0.005620715404008306,
      0.005500217608595292,
      0.005381381323441701,
      0.005264183705745711,
      0.005148602098962033,
      0.005034614179493936,
      0.004922197951587368,
      0.004811331724683079,
      0.004701992515124545,
      0.0045941518009556415,
      0.0044877821730566255,
      0.004382858854639496,
      0.004279359139784972,
      0.0041772615728478115,
      0.004076545705404262,
      0.003977191710458481,
      0.003879180559450201,
      0.0037824935782323674,
      0.0036871125522030556,
      0.0035930197056241683,
      0.0035001973899673237,
      0.0034086283901980747,
      0.003318295691609442,
      0.0032291825658238306,
      0.003141272505057979,
      0.0030545493099703265,
      0.0029689969690102173,
      0.002884599595320892,
      0.002801341625289282,
      0.0027192076364889704,
      0.0026381824399984853,
      0.0025582511161032885,
      0.0024793988347758264,
      0.0024016110901010786,
      0.0023248734844060243,
      0.002249171824405639,
      0.002174492071615038,
      0.002100820484761282,
      0.002028143368429461,
      0.0019564474328641495,
      0.0018857193853564146
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567184294414949,
      10.3382251019627,
      10.102035478662197,
      9.86146045426308,
      9.618836291237628,
      9.37620920258709,
      9.135338409122998,
      8.897664358054493,
      8.66435347713957,
      8.436295725161889,
      8.214105362867816,
      7.998135167096097,
      7.788502224231816,
      7.585122743569718,
      7.387751125639015,
      7.196017680833189,
      7.009465941884383,
      6.827585121682575,
      6.649845195415187,
      6.475722785150582,
      6.304714796647992,
      6.136360119384825,
      5.970257598923558,
      5.806069072573541,
      5.643527216562933,
      5.482439652224415,
      5.322686623146945,
      5.164224857649145,
      5.007083856786962,
      4.851366767109045,
      4.697234598474905,
      4.544905552728276,
      4.394647142207938,
      4.246774009346734,
      4.101646768908607,
      3.95967356417716,
      3.821267819516666,
      3.68682644225916,
      3.5567184545830908,
      3.431275214158687,
      3.3107826078700318,
      3.195475446211172,
      3.085534272803871,
      2.9810853953854894,
      2.882192142277962,
      2.7888588093852795,
      2.701027351314219,
      2.618577654415268,
      2.54135416312805,
      2.4691450464598486,
      2.4017059709579196,
      2.3387744674629807,
      2.280056965331785,
      2.2252371738354673,
      2.173964895717725,
      2.125849883346417,
      2.080521928223479,
      2.0376424802442306,
      1.9968878966589658,
      1.9579687111385127,
      1.9206481998097609,
      1.8847419264776009,
      1.8501039432139295,
      1.8166138417515014,
      1.7841663464289643,
      1.7526750993039404,
      1.722070325395345,
      1.6922944486734006,
      1.6632989563520404,
      1.6350421432244875,
      1.6074851092207043,
      1.5805918468416966,
      1.5543310133699721,
      1.5286748113336222,
      1.5035981903316042,
      1.479078276436488,
      1.455093961717437,
      1.4316256052935883,
      1.408654811768725,
      1.3861642656737192,
      1.3641379702246237,
      1.3425614788872062,
      1.3214212400789567,
      1.300704518183868,
      1.280398831921844,
      1.2604919707069249,
      1.2409720641150217,
      1.221827621716123,
      1.20304755266834,
      1.184621173028944,
      1.166538203837507,
      1.1487887634658116,
      1.1313634537374069,
      1.1142540283010038,
      1.097452933965523,
      1.0809529830688953,
      1.0647469565363412,
      1.0488276104697667,
      1.033187770508829,
      1.017821273307154,
      1.0027228344851984,
      0.9878868673067122,
      0.973307582932593,
      0.9589791251804459,
      0.9448956600226922,
      0.9310514329604284,
      0.9174408057337247,
      0.904058359320153,
      0.8909001359498607,
      0.8779628223203041,
      0.8652425843036374,
      0.8527352913013788,
      0.8404366627937944,
      0.8283423644949619,
      0.8164480719943942,
      0.8047495113058605,
      0.793242485541347,
      0.7819228899254185,
      0.7707867211547591,
      0.7598300817976705,
      0.7490491814337349,
      0.7384403365533563,
      0.7279999690928516,
      0.7177246037556485,
      0.707610864975962,
      0.6976554741230008,
      0.6878552460160937,
      0.6782070859280505,
      0.66870798614112,
      0.6593550113271653,
      0.6501452531380719,
      0.6410758816080093,
      0.6321441656426365,
      0.6233474626825407,
      0.6146827952704426,
      0.6061469728975745,
      0.5977370998317473,
      0.589450516851386,
      0.581284743382871,
      0.5732374373986704,
      0.5653063677366706,
      0.5574893942732441,
      0.5497844540016956,
      0.5421895506495661,
      0.5347027481754405,
      0.5273221645789683,
      0.5200459681320586,
      0.5128723737931499,
      0.5057996405197053,
      0.49882606950855385,
      0.49195000207280626,
      0.4851698179486904,
      0.4784839339869255,
      0.4718908027004392,
      0.465388910978817,
      0.4589767791783846,
      0.45265295988155996,
      0.44641603681306313,
      0.44026462409631156,
      0.4341973652437598,
      0.4282129322673973,
      0.42231002481207364,
      0.4164873692129976,
      0.410743717990098,
      0.40507784886705356,
      0.399488546353484,
      0.3939745869531044,
      0.3885347818133654,
      0.3831679792239016,
      0.3778730591308708,
      0.3726489295184456,
      0.3674945234524193,
      0.36240877780881403,
      0.35739043067229737,
      0.35243816909852393,
      0.34755080729068544,
      0.3427272514460579,
      0.33796647577538114,
      0.33326750597247523,
      0.32862940805529,
      0.3240512800983802,
      0.3195322469572836,
      0.3150715201981176,
      0.3106685554076539,
      0.30632288343600145,
      0.30203417437593527,
      0.29780238176417745,
      0.2936274366140522,
      0.28950901897931586,
      0.28544664568921435,
      0.28143972841934334,
      0.2774876148664632,
      0.27358965662824525,
      0.26974525778947395,
      0.26595378432038985,
      0.26221482064090096,
      0.25852808655999265,
      0.2548931480868301,
      0.25130946563405354,
      0.24777643290543283,
      0.2442934023212833,
      0.24085970257400158,
      0.23747465035210014,
      0.23413755789379362,
      0.23084773826949506,
      0.22760450864331638,
      0.22440719251901675,
      0.2212551212858273,
      0.21814762474547564,
      0.2150839702078719,
      0.21206342219559865,
      0.2090852891590492,
      0.2061489121532784,
      0.2032536572493862,
      0.20039891035042223,
      0.1975840736051804,
      0.19480856299888089,
      0.19207180666789667,
      0.18937324365250996,
      0.18671232304578195,
      0.18408850347178846,
      0.1815012524346099,
      0.17895004610808332,
      0.17643436894274833,
      0.17395371353499758,
      0.17150758033721428,
      0.16909547746420128,
      0.16671692056298598,
      0.16437143260605416,
      0.16205854388799035,
      0.15977779174172915,
      0.1575287204898467,
      0.15531088128684445,
      0.15312383203079225,
      0.150967137159604,
      0.14884036766233208,
      0.14674310077136457,
      0.14467492027012996,
      0.14263541599249732,
      0.14062418384191938,
      0.13864082552899837,
      0.13668494873294604,
      0.13475616687977196,
      0.13285409915398017,
      0.13097837024085823,
      0.12912861035906842,
      0.1273044552210704,
      0.12550554565369698,
      0.12373152776275796,
      0.12198205283388903,
      0.12025677720515966,
      0.11855536216797842,
      0.11687747398576105,
      0.11522278370573368,
      0.11359096715122184,
      0.11198170482117856,
      0.11039468175430793,
      0.10882958756019566,
      0.10728611625561604,
      0.10576396630616461,
      0.10426284054271631,
      0.10278244595245296,
      0.1013224937253175,
      0.0998826991237962,
      0.09846278158271188,
      0.09706246452416313,
      0.09568147537055688,
      0.09431954525947625,
      0.09297640922926462,
      0.0916518060745962,
      0.0903454782785269,
      0.0890571719382592,
      0.08778663691344843,
      0.08653362647227913,
      0.08529789741077846,
      0.08407920995872288,
      0.08287732772290307,
      0.08169201766780153,
      0.08052305001919163,
      0.07937019819196921,
      0.07823323883124629,
      0.07711195171215493,
      0.07600611978776135,
      0.07491552903837972,
      0.07383996842094905,
      0.07277922981633982,
      0.07173310806671551,
      0.07070140087126622,
      0.0696839086791131,
      0.0686804349519955,
      0.06769078579214505,
      0.06671476997757268,
      0.0657521990004012,
      0.06480288707760772,
      0.06386665082456366,
      0.06294330951969593,
      0.06203268491766093,
      0.06113460138996196,
      0.060248885731595356,
      0.05937536707845174,
      0.05851387696078826,
      0.05766424928588858,
      0.056826320215335985,
      0.0559999281934612,
      0.05518491397199849,
      0.05438112045563521,
      0.053588392711083004,
      0.05280657809618828,
      0.052035526107755865,
      0.051275088215330715,
      0.05052511799842209,
      0.04978547096365628,
      0.049056004789355,
      0.04833657894522345,
      0.04762705500913811,
      0.046927296467002194,
      0.046237168608945264,
      0.045556538591276494,
      0.04488527551540871,
      0.044223250351724246,
      0.043570335749503385,
      0.042926406162345596,
      0.0422913376742895,
      0.04166500813527459,
      0.04104729709906643,
      0.04043808580595858,
      0.0398372571754924,
      0.039244695639853514,
      0.038660287282121064,
      0.03808391981541749,
      0.037515482454031766,
      0.036954865933188204,
      0.03640196260153593,
      0.03585666613495558,
      0.03531887168490519,
      0.03478847608649503,
      0.034265377373210386,
      0.033749475101158846,
      0.033240670119049236,
      0.03273886479851343,
      0.03224396264952969,
      0.03175586861171728,
      0.03127448908058063,
      0.03079973151647774,
      0.03033150470979762,
      0.029869718682107384,
      0.0294142847830294,
      0.028965115690590282,
      0.028522125053934522,
      0.028085227909462114,
      0.02765434040602616,
      0.027229379737848686,
      0.026810264336017058,
      0.02639691377845655,
      0.025989248710733624,
      0.025587190904475303,
      0.02519066316135471,
      0.02479958935465942,
      0.02441389441107411,
      0.02403350441770644,
      0.023658346421888285,
      0.023288348355516915,
      0.022923439134879788,
      0.02256354874459402,
      0.022208608141794307,
      0.021858549259313267,
      0.02151330480266079,
      0.02117280865148006,
      0.020836995487401706,
      0.0205058008310802,
      0.02017916106462183,
      0.019857013564043437,
      0.019539297115223935,
      0.019225954148952545,
      0.018916927881555273,
      0.01861216104332364,
      0.018311596449197238,
      0.018015177086390118,
      0.017722846514402237,
      0.01743454867551375,
      0.01715022823479346,
      0.016869830605140405,
      0.01659330177127923,
      0.016320588529738885,
      0.016051638197629704,
      0.01578639890867408,
      0.015524819466988268,
      0.015266849337346884,
      0.015012438765093457,
      0.01476153854266357,
      0.014514100389523627,
      0.014270076431705046,
      0.014029419599630973,
      0.01379208336063033,
      0.013558021899120283,
      0.013327190070521142,
      0.013099543268606167,
      0.012875037556143082,
      0.01265362954330587,
      0.012435276478236007,
      0.012219936206675611,
      0.012007567286429486,
      0.011798128742244353,
      0.011591580013178908,
      0.011387881162368945,
      0.011186992860389914,
      0.010988876383591249,
      0.010793493449381039,
      0.010600806344514699,
      0.010410777931999717,
      0.010223371505577436,
      0.010038550829234483,
      0.009856280224173628,
      0.009676524517845984,
      0.009499249052103627,
      0.009324419611117404,
      0.009152002407719524,
      0.008981964116223373,
      0.008814271958249008,
      0.008648893580015976,
      0.00848579698299255,
      0.008324950722547141,
      0.008166323771951802,
      0.008009885413238577,
      0.007855605504867977,
      0.0077034542359456035,
      0.007553402270279604,
      0.007405420669300872,
      0.007259480873997472,
      0.007115554605433496,
      0.006973614148367539,
      0.006833631968571856,
      0.006695581222285501,
      0.006559435211487053,
      0.0064251676230822384,
      0.006292752539643424,
      0.006162164439804818,
      0.006033378117097293,
      0.005906368676305603,
      0.005781111652206823,
      0.0056575828562322236,
      0.005535758421435588,
      0.0054156148551679625,
      0.0052971289722388935,
      0.005180277931220859,
      0.005065039125707768,
      0.0049513902927692515,
      0.004839309431905216,
      0.004728774998491117,
      0.00461976557123094,
      0.004512260156136483,
      0.004406238034144761,
      0.004301678762360366,
      0.004198562068437317,
      0.004096867542368527,
      0.003996569868290971,
      0.00389764278975089,
      0.003800062810132491,
      0.0037038083240709782,
      0.00360885913216878,
      0.003515196005429,
      0.0034228004571414004,
      0.003331654606897049,
      0.003241741046664181,
      0.0031530428106594783,
      0.0030655432896678383,
      0.002979226121361295,
      0.002894075157907701,
      0.002810074586950636,
      0.0027272088954803358,
      0.002645462623810961,
      0.002564820629307841,
      0.002485268033576602,
      0.0024067900939242293,
      0.002329372228346032,
      0.002253000193624862,
      0.0021776599657547095,
      0.002103337500403149,
      0.0020300190276175364,
      0.0019576910105307,
      0.0018863400858830294,
      0.0018159530051384163
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567176432361158,
      10.33819889361598,
      10.10198290602322,
      9.861376169830747,
      9.618716677053387,
      9.37605183476197,
      9.135141935925837,
      8.8974283805482,
      8.664078120338651,
      8.435981443973327,
      8.213752771181499,
      7.997744908361408,
      7.788074873387881,
      7.58465874976932,
      7.387250777443505,
      7.195481101149352,
      7.008893076755148,
      6.826975708505245,
      6.649198947768318,
      6.475039565532635,
      6.303994584857154,
      6.13560309009143,
      5.969464269318372,
      5.8052402468406745,
      5.642664001947638,
      5.48154350365764,
      5.3217593962738325,
      5.163268874645718,
      5.006101907119494,
      4.850362003677028,
      4.696210455329709,
      4.543865985841953,
      4.3935966473325605,
      4.245717420265471,
      4.100589576880642,
      3.9586217489459186,
      3.8202271626293873,
      3.685802426206112,
      3.5557161675442,
      3.430299266827233,
      3.3098370664590475,
      3.194563785703056,
      3.0846593429473095,
      2.9802494103452744,
      2.881396503157238,
      2.7881041626459973,
      2.700313227924277,
      2.617902800364658,
      2.540716608352368,
      2.4685420930624087,
      2.401134948239087,
      2.3382324742924854,
      2.279540803172049,
      2.2247433993100114,
      2.173489634270355,
      2.1253891042037205,
      2.080072048406788,
      2.0372001001979156,
      1.9964500139593597,
      1.9575329417838272,
      1.9202127851284374,
      1.8843055703131246,
      1.8496656581276865,
      1.8161728308183143,
      1.783721923679204,
      1.7522268020455685,
      1.7216178509906062,
      1.6918376091972653,
      1.6628376455028027,
      1.6345763184096633,
      1.6070147921188898,
      1.5801170840304128,
      1.5538518641284427,
      1.5281913436634418,
      1.5031104777735353,
      1.4785863963973227,
      1.454597993882838,
      1.4311256300240827,
      1.4081509092904843,
      1.3856565164687507,
      1.3636264764059411,
      1.342046344160887,
      1.3209025898226094,
      1.300182474759589,
      1.279873501668246,
      1.2599634484394255,
      1.2404404363628063,
      1.22129296864386,
      1.2025099500033274,
      1.1840806934840713,
      1.165994917877702,
      1.1482427397723198,
      1.1308147752899194,
      1.113702799899987,
      1.0968992601818377,
      1.0803969603012897,
      1.0641886695912077,
      1.0482671358405227,
      1.0326251786256786,
      1.0172567956092646,
      1.0021567166150576,
      0.9873192925435462,
      0.9727386915998405,
      0.9584090284282405,
      0.9443244485647999,
      0.9304791836297338,
      0.9168675853058142,
      0.9034843614163753,
      0.8903257389365816,
      0.87738829029019,
      0.8646681052938607,
      0.8521610016238231,
      0.8398626636066525,
      0.8277687330923701,
      0.8158748697209501,
      0.8041767888254733,
      0.7926702859300732,
      0.7813512512243945,
      0.7702156778281692,
      0.7592596657623413,
      0.7484794231207851,
      0.7378712652404128,
      0.7274316129418311,
      0.7171569902172984,
      0.7070440210279457,
      0.6970894263681985,
      0.6872900206417254,
      0.6776427087798284,
      0.6681444826587183,
      0.6587924056288889,
      0.6495835674976681,
      0.6405151387915022,
      0.6315843887685493,
      0.6227886748700794,
      0.6141250538022616,
      0.6055903385022868,
      0.5971816207613819,
      0.5888962327739587,
      0.5807316880445768,
      0.5726856404447803,
      0.56475585590117,
      0.5569401920937739,
      0.5492365843669663,
      0.5416430355886037,
      0.5341576086444666,
      0.5267784208489619,
      0.5195036397340933,
      0.5123314796836957,
      0.5052601994669104,
      0.4982880996568912,
      0.4914135212631855,
      0.48463484352234876,
      0.4779504828616837,
      0.47135889143970056,
      0.4648585559557852,
      0.45844799625043187,
      0.4521257643886358,
      0.44589044395040967,
      0.4397406486964937,
      0.4336750216288331,
      0.4276922344255504,
      0.42179098641536455,
      0.41597000362938547,
      0.4102280381119357,
      0.40456386728990507,
      0.39897629315051397,
      0.3934641414339427,
      0.38802622879018767,
      0.382661377812587,
      0.37736845130062996,
      0.37214634534138374,
      0.3669939849334944,
      0.3619102898394952,
      0.3568939783407647,
      0.3519437441724125,
      0.34705840612693706,
      0.34223687327282376,
      0.3374781217955864,
      0.3327811785983903,
      0.32814511044973466,
      0.32356901607163896,
      0.3190520204694445,
      0.3145934231427922,
      0.31019269664438115,
      0.3058493795897315,
      0.301563181659398,
      0.29733411453630054,
      0.2931620335152038,
      0.2890465681722236,
      0.2849872013550273,
      0.2809833218454321,
      0.2770342630167389,
      0.2731393831254208,
      0.2692980797730084,
      0.2655097168102318,
      0.26177389987971494,
      0.2580903375964359,
      0.2544585814862956,
      0.25087808225524255,
      0.2473482268824731,
      0.2438683634459939,
      0.240437817654553,
      0.2370559041640508,
      0.233721933943185,
      0.2304352189638592,
      0.22719507583821805,
      0.22400082776819086,
      0.22085180571912896,
      0.21774733404823793,
      0.21468667245829698,
      0.21166908999073836,
      0.2086938980888071,
      0.20576043984573722,
      0.20286808265115946,
      0.20001621327802155,
      0.19720423452710772,
      0.194431562831503,
      0.1916976266226715,
      0.18900186513400896,
      0.1863437277017353,
      0.18372267298872152,
      0.18113816865038565,
      0.17858969089487495,
      0.17607672424204648,
      0.17359876128967516,
      0.17115530237835408,
      0.1687458557591426,
      0.16636993715112103,
      0.16402706968041722,
      0.16171678353934624,
      0.1594386161087735,
      0.15719211168592043,
      0.15497682151676842,
      0.15279230358643497,
      0.15063812234496296,
      0.14851384885161364,
      0.1464190604540343,
      0.14435334089216828,
      0.14231627998769036,
      0.14030747365607263,
      0.13832652373901794,
      0.13637303792417776,
      0.1344466298474637,
      0.13254691858301526,
      0.13067352891282744,
      0.12882609114299798,
      0.12700424087277337,
      0.1252076190853562,
      0.12343587198183828,
      0.12168865089452101,
      0.11996561219759339,
      0.11826641727147098,
      0.11659073240048645,
      0.11493822873053314,
      0.1133085820771657,
      0.11170147299652174,
      0.11011658664276064,
      0.10855361267854491,
      0.10701224518761626,
      0.10549218264647889,
      0.1039931278404807,
      0.10251478797247779,
      0.10105687425183252,
      0.09961910214590124,
      0.09820119107294353,
      0.09680286454774858,
      0.09542384993377707,
      0.09406387855853435,
      0.09272268553065308,
      0.09140000970365897,
      0.09009559363360412,
      0.08880918360021196,
      0.08754052939303007,
      0.08628938435177401,
      0.08505550537101723,
      0.08383865270435151,
      0.08263859010508286,
      0.08145508454636269,
      0.08028790639193818,
      0.07913682922571977,
      0.07800162973441196,
      0.07688208777267824,
      0.07577798632209994,
      0.074689111436033,
      0.07361525205242071,
      0.07255620016336972,
      0.0715117507002761,
      0.07048170153782767,
      0.06946585331763315,
      0.06846400940310987,
      0.0674759759837455,
      0.06650156201538768,
      0.06554057905239428,
      0.06459284134755217,
      0.0636581656593308,
      0.06273637128471592,
      0.06182728014285875,
      0.06093071661080317,
      0.06004650746694755,
      0.05917448194823902,
      0.05831447174348433,
      0.057466310811142056,
      0.056629835501726906,
      0.05580488426893386,
      0.05499129791045762,
      0.05418891949297488,
      0.05339759429863552,
      0.052617169642848204,
      0.05184749502112002,
      0.051088422069983784,
      0.050339804373800506,
      0.04960149759075723,
      0.04887335939557994,
      0.04815524955097578,
      0.047447029544667466,
      0.0467485629265817,
      0.04605971520197662,
      0.04538035376715018,
      0.04471034757859371,
      0.044049567572836186,
      0.043397886485609674,
      0.042755178869164384,
      0.04212132096692535,
      0.041496190721953805,
      0.04087966775342572,
      0.04027163340667054,
      0.03967197066956488,
      0.039080564089011616,
      0.03849729989058076,
      0.03792206578957713,
      0.03735475117065698,
      0.03679524674878497,
      0.036243444944825176,
      0.03569923962806411,
      0.03516252608100203,
      0.03463320106140322,
      0.03411116270500091,
      0.03359631063040703,
      0.03308854570639655,
      0.03258777037110926,
      0.032093888308220866,
      0.03160680446854478,
      0.0311264253095302,
      0.03065265839795437,
      0.03018541266589592,
      0.02972459828399896,
      0.02927012668257596,
      0.028821910507544794,
      0.02837986355253167,
      0.02794390090534771,
      0.02751393867954868,
      0.027089894259063326,
      0.02667168615314046,
      0.026259233963871777,
      0.025852458440677597,
      0.025451281361117482,
      0.0250556257083576,
      0.024665415369726582,
      0.02428057537340695,
      0.02390103181118486,
      0.023526711771709626,
      0.023157543341674216,
      0.022793455432002993,
      0.022434378225273888,
      0.022080242685638244,
      0.021730980746656983,
      0.021386525292940425,
      0.02104681019619841,
      0.020711770183469157,
      0.020381340912303706,
      0.0200554589287614,
      0.019734061571254794,
      0.019417087456663047,
      0.019104478631407244,
      0.018796178608071826,
      0.018492130299499306,
      0.01819227667314671,
      0.01789656087090806,
      0.01760492650161674,
      0.017317317827184348,
      0.017033679486651153,
      0.01675395696009301,
      0.016478096310347485,
      0.016206044295858438,
      0.015937748441968932,
      0.01567315690510926,
      0.015412218574848898,
      0.01515488298187891,
      0.01490110034162042,
      0.014650821594465468,
      0.014403998423412872,
      0.014160583019902265,
      0.01392052842447071,
      0.013683788228073831,
      0.013450316619016352,
      0.013220068438692681,
      0.012992999201731414,
      0.012769065074175958,
      0.012548222771427425,
      0.012330429515827274,
      0.012115643244109369,
      0.011903822505970022,
      0.011694926327080093,
      0.011488914226399277,
      0.011285746400828156,
      0.011085383530885786,
      0.010887786938297717,
      0.010692918434054356,
      0.010500740391435216,
      0.010311215617252407,
      0.010124307517842187,
      0.009939979974470856,
      0.009758197277921096,
      0.009578924255697327,
      0.009402126299265531,
      0.009227769342798488,
      0.009055819646815764,
      0.008886243964862256,
      0.008719009463780594,
      0.008554083817703107,
      0.0083914350873479,
      0.008231031881071186,
      0.008072843257147957,
      0.007916838589536138,
      0.007762987670366614,
      0.007611260769477991,
      0.007461628651490004,
      0.0073140623527286515,
      0.007168533322102831,
      0.007025013455340549,
      0.006883475048389969,
      0.006743890720253083,
      0.006606233547565811,
      0.006470476786921612,
      0.006336594240814193,
      0.006204560116431714,
      0.0060743489311128225,
      0.005945935380170788,
      0.0058192947213517345,
      0.005694402384841509,
      0.005571234201375336,
      0.005449766492187674,
      0.005329975817204262,
      0.0052118389451261465,
      0.005095333075057911,
      0.0049804356896362865,
      0.004867124568491252,
      0.004755377821718775,
      0.0046451738741221165,
      0.004536491380387497,
      0.004429309293975985,
      0.004323606899192321,
      0.00421936385688246,
      0.0041165600610172095,
      0.004015175578954424,
      0.003915190668533667,
      0.003816586088594299,
      0.003719342775362743,
      0.003623441977613282,
      0.003528865182957593,
      0.00343559273558752,
      0.003343600208612718,
      0.00325286422492799,
      0.0031633637002064213,
      0.0030750790351304173,
      0.002987991796746128,
      0.0029020845317124845,
      0.0028173403860403436,
      0.0027337430709081477,
      0.0026512766777436352,
      0.002569925615894145,
      0.0024896745958828846,
      0.0024105086203214674,
      0.002332412905870348,
      0.0022553729589973566,
      0.002179374474294761,
      0.0021044033166815112,
      0.002030445644025278,
      0.001957487731821735,
      0.0018855160211216002,
      0.0018145172243026896,
      0.0017444781967149872
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567168578240842,
      10.338172709359757,
      10.101930375863136,
      9.861291946736543,
      9.618597151426721,
      9.375894474800141,
      9.13494529975998,
      8.89719209003481,
      8.663802319628527,
      8.435666604621373,
      8.213399524262822,
      7.997353910447755,
      7.787646710217449,
      7.584193880931744,
      7.386749501801087,
      7.194943548813477,
      7.008319167125653,
      6.826365160614053,
      6.648551486334423,
      6.47435506138746,
      6.303273025082174,
      6.134844657119129,
      5.9686694870428445,
      5.804409925030158,
      5.641799253710679,
      5.480645790784073,
      5.320830580606993,
      5.162311284131904,
      5.005118337458376,
      4.849355615401278,
      4.695184688892978,
      4.542824803158184,
      4.392544557323429,
      4.244659268065478,
      4.099530907789466,
      3.9575685404597922,
      3.819185192405376,
      3.6847771707899466,
      3.554712708176635,
      3.4293222074846,
      3.308890467105835,
      3.1936511148149083,
      3.0837834442359484,
      2.979412491330573,
      2.8805999574942756,
      2.7873486244427053,
      2.699598219015208,
      2.617227065620435,
      2.5400781760452658,
      2.4679382644877887,
      2.400563052814337,
      2.3376896115083485,
      2.2790237758387573,
      2.2242487660507106,
      2.1730135100064167,
      2.124927453975966,
      2.079621295878963,
      2.0367568526624344,
      1.9960112747942944,
      1.9570963311468508,
      1.9197765471905481,
      1.8838684126552772,
      1.8492265955535567,
      1.8157310663393198,
      1.7832767715065956,
      1.7517777999950932,
      1.7211646962998501,
      1.6913801134456625,
      1.6623757021404137,
      1.6341098789503528,
      1.6065438732217845,
      1.5796417345930238,
      1.5533721451095093,
      1.5277073238546415,
      1.5026222316900657,
      1.4780940017967643,
      1.4541015303363072,
      1.4306251774702108,
      1.407646547943555,
      1.3851483263493183,
      1.3631145592800737,
      1.3415308036594222,
      1.3203835502018715,
      1.299660057082187,
      1.2793478113578942,
      1.2594345799873956,
      1.2399084757033405,
      1.2207579960960595,
      1.2019720419980806,
      1.1835399226180034,
      1.1654513541397833,
      1.147696450603716,
      1.1302658427351469,
      1.1131513280285932,
      1.0963453531919785,
      1.0798407150364309,
      1.0636301710040559,
      1.0477064601727704,
      1.0320624799891849,
      1.01669234771111,
      1.0015907223820808,
      0.98675190586755,
      0.9721700331308953,
      0.9578391955553435,
      0.9437535228043319,
      0.9299072350252403,
      0.916294676492574,
      0.9029106840070614,
      0.8897516693823289,
      0.8768140914691644,
      0.8640939642697327,
      0.8515870539738655,
      0.8392890098904316,
      0.8271954505979838,
      0.8153020195145972,
      0.803604421172119,
      0.7920984435382986,
      0.780779971797513,
      0.76964499587805,
      0.7586896134861688,
      0.7479100308011847,
      0.7373025621122438,
      0.7268636274583423,
      0.716589749895284,
      0.7064775527623842,
      0.696523756606412,
      0.6867251755708444,
      0.6770787141462971,
      0.66758136393246,
      0.6582301866554005,
      0.6490222703295636,
      0.6399547861009482,
      0.631025003554116,
      0.6222302803846835,
      0.6135677073338649,
      0.6050341008347634,
      0.5966265402518242,
      0.5883423490675534,
      0.5801790347615104,
      0.5721342472301939,
      0.5642057493345325,
      0.5563913967588696,
      0.5486891232213401,
      0.5410969304475174,
      0.5336128804504736,
      0.5262350896515525,
      0.5189617250160637,
      0.5117910005007026,
      0.5047211742481764,
      0.49775054658337947,
      0.49087745792541115,
      0.4841002873594716,
      0.4774174508308285,
      0.4708274000085955,
      0.46432862113891943,
      0.45791963386752416,
      0.45159899003673354,
      0.4453652727160356,
      0.4392170952170058,
      0.43315310024906334,
      0.4271719590431323,
      0.42127237052347627,
      0.4154530604808497,
      0.40971278059782873,
      0.4040503079398956,
      0.39846444410234555,
      0.39295401457535695,
      0.3875178682281751,
      0.3821548696939973,
      0.37686387174882047,
      0.37164374751605117,
      0.3664934065062761,
      0.36141174647208285,
      0.35639746215339246,
      0.3514492518801872,
      0.34656593719640616,
      0.34174642899126095,
      0.33698970475070683,
      0.3322947922869273,
      0.327660758758835,
      0.3230867029625153,
      0.31857177419965615,
      0.3141153502345015,
      0.3097168974659396,
      0.305375960362513,
      0.30109234000263896,
      0.2968660429684355,
      0.29269685616264113,
      0.2885843634850559,
      0.2845280170274166,
      0.2805271848363617,
      0.2765811880532869,
      0.2726893914240046,
      0.26885118690695603,
      0.2650659451289401,
      0.26133328906190395,
      0.25765290772837607,
      0.2540243397515651,
      0.25044702717668504,
      0.24692035105371601,
      0.2434436555516158,
      0.24001626378618762,
      0.23663748853950753,
      0.23330663957823386,
      0.2300230282737619,
      0.2267859705354835,
      0.22359478907358743,
      0.22044881469627528,
      0.2173473663789518,
      0.21428969630546824,
      0.2112750777808897,
      0.20830282531614877,
      0.20537228398962504,
      0.20248282255773947,
      0.1996338288635109,
      0.19682470626742365,
      0.1940548715710417,
      0.1913237535355476,
      0.18863079164727928,
      0.18597543531641098,
      0.18335714339276088,
      0.1807753835003944,
      0.17822963197831965,
      0.17571937348603836,
      0.1732441005531321,
      0.1708033137328686,
      0.1683965211906051,
      0.16602323867364266,
      0.16368298936066386,
      0.1613753035389574,
      0.15909971864377762,
      0.1568557790302714,
      0.15464303586507347,
      0.15246104709398273,
      0.15030937725577614,
      0.14818759747359003,
      0.14609528518460954,
      0.1440320241416361,
      0.14199740427389657,
      0.13999102148278106,
      0.13801247761975077,
      0.13606138053285344,
      0.13413734374264702,
      0.1322399864786052,
      0.13036893354158563,
      0.12852381522779505,
      0.12670426724368491,
      0.12490993061860879,
      0.12314045154464295,
      0.12139548146800885,
      0.11967467682751277,
      0.11797769913360906,
      0.11630421471340044,
      0.11465389466181272,
      0.11302641491614668,
      0.11142145612374212,
      0.10983870348019967,
      0.10827784666530428,
      0.10673857986345234,
      0.10522060169081875,
      0.10372361502270203,
      0.1022473269813598,
      0.1007914489189567,
      0.0993556963191876,
      0.09793978868752985,
      0.0965434495950407,
      0.09516640665317744,
      0.09380839119087661,
      0.09246913828789388,
      0.09114838685248927,
      0.0898458796109937,
      0.08856136290691086,
      0.08729458658881879,
      0.08604530406980312,
      0.08481327222728062,
      0.08359825146475804,
      0.08240000555372264,
      0.0812183015954987,
      0.08005291003976636,
      0.07890360449828075,
      0.07777016178971277,
      0.07665236186532855,
      0.07554998771727987,
      0.07446282549506954,
      0.07339066431857062,
      0.07233329628925672,
      0.07129051642983056,
      0.07026212251964646,
      0.06924791529342614,
      0.06824769825292006,
      0.0672612777848129,
      0.06628846277675053,
      0.06532906483770963,
      0.06438289829581259,
      0.06344978003771742,
      0.06252952954842356,
      0.06162196872820728,
      0.06072692204637362,
      0.059844216437088815,
      0.058973681182484645,
      0.058115147982130105,
      0.05726845091735393,
      0.05643342636389917,
      0.05560991304680339,
      0.05479775180811464,
      0.0539967857166701,
      0.05320686011940752,
      0.052427822462549616,
      0.051659522273446036,
      0.050901811258395505,
      0.050154543112835556,
      0.04941757360950534,
      0.048690760551347544,
      0.047973963655406314,
      0.04726704462561531,
      0.04656986709313399,
      0.04588229651930704,
      0.04520420034116876,
      0.04453544780288189,
      0.04387590990888635,
      0.04322545942498384,
      0.042583970987846685,
      0.041951320906730365,
      0.041327387248437965,
      0.04071204974132178,
      0.04010518976504934,
      0.039506690343616896,
      0.038916436176397264,
      0.03833431350703431,
      0.037760210208289874,
      0.03719401559938326,
      0.036635620593441935,
      0.03608491767939751,
      0.03554180072855139,
      0.035006165210272555,
      0.03447790787024686,
      0.033956926985942944,
      0.033443122249613544,
      0.03293639466927321,
      0.032436646688027815,
      0.031943782105366234,
      0.031457705984515374,
      0.03097832485737011,
      0.030505546397609086,
      0.03003927954973795,
      0.02957943452002191,
      0.029125922854868067,
      0.028678657213074735,
      0.028237551459899726,
      0.027802520763032978,
      0.02737348135615184,
      0.02695035075231414,
      0.026533047516693494,
      0.02612149124067755,
      0.025715602812586533,
      0.025315304012605233,
      0.024920517894130422,
      0.024531168603238295,
      0.02414718114545639,
      0.023768481588699368,
      0.023394997028151496,
      0.023026655733424873,
      0.022663386855276458,
      0.022305120446848285,
      0.021951787699164723,
      0.02160332053768828,
      0.02125965194762055,
      0.02092071576217554,
      0.020586446823371695,
      0.020256780834877794,
      0.019931654358368495,
      0.01961100490213694,
      0.01929477092428171,
      0.018982894116537696,
      0.01867531812674088,
      0.018371986054347176,
      0.01807284113755355,
      0.017777826759496653,
      0.01748688669096833,
      0.01719996513697709,
      0.016917006893525606,
      0.016637957480913373,
      0.016362763025847247,
      0.01609137040625784,
      0.015823727100398956,
      0.015559781349898476,
      0.015299482109472571,
      0.015042778999482724,
      0.01478962231830995,
      0.014539963095630036,
      0.014293752989417532,
      0.014050944382535657,
      0.013811490291568123,
      0.01357534442429654,
      0.01334246099169561,
      0.013112794903713946,
      0.012886301617936777,
      0.012662937371845423,
      0.012442658979494236,
      0.01222542378938916,
      0.012011189720634464,
      0.011799915301526714,
      0.011591559684952433,
      0.011386082507060906,
      0.01118344400277558,
      0.010983604964182206,
      0.0107865266438761,
      0.010592170901977636,
      0.010400500075535495,
      0.010211477193488028,
      0.010025065659828998,
      0.009841229332518296,
      0.009659932731642932,
      0.009481140709374924,
      0.009304818693766306,
      0.009130932553121111,
      0.008959448652727069,
      0.008790333729444695,
      0.008623555066353336,
      0.008459080440866375,
      0.00829687802364268,
      0.008136916393519237,
      0.007979164579767916,
      0.007823592035988097,
      0.007670168679122197,
      0.007518864879726645,
      0.007369651281764857,
      0.007222499024921398,
      0.00707737959291597,
      0.00693426495612931,
      0.006793127308866331,
      0.006653939392911686,
      0.006516674218687559,
      0.00638130532832918,
      0.0062478065072861765,
      0.006116151885121231,
      0.005986316069253503,
      0.005858273899044421,
      0.005732000480503825,
      0.005607471413194362,
      0.005484662649710554,
      0.005363550426807412,
      0.0052441113695666655,
      0.005126322303900201,
      0.005010160375567882,
      0.004895603183304863,
      0.004782628582569758,
      0.004671214668678863,
      0.004561339862527128,
      0.004452982825922946,
      0.004346122632212193,
      0.004240738747833966,
      0.004136810703581486,
      0.004034318408638325,
      0.003933241912703965,
      0.0038335617030483228,
      0.0037352584814669665,
      0.003638313266751669,
      0.003542707301056011,
      0.003448422039959648,
      0.0033554392766616623,
      0.003263740968915888,
      0.003173309467127789,
      0.0030841272732299685,
      0.0029961770866872035,
      0.0029094418574094442,
      0.0028239042736073476,
      0.0027395430361181767,
      0.00265633603196397,
      0.0025742634215331368,
      0.002493307019548403,
      0.0024134497720657124,
      0.0023346756325315363,
      0.002256968881625071,
      0.002180314530141261,
      0.0021046978399776213,
      0.0020301045657291537,
      0.0019565206503182027,
      0.0018839322844191335,
      0.0018123259731963224,
      0.0017416883560383563,
      0.0016720062685952896
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567160736732738,
      10.33814656576466,
      10.101877926110602,
      9.861207849924561,
      9.61847780123537,
      9.375737331418899,
      9.134748915171782,
      8.896956087577278,
      8.663526844683846,
      8.435352128864954,
      8.213046676955958,
      7.99696334832846,
      7.787219019896244,
      7.583729521664376,
      7.386248770161722,
      7.194406574668643,
      7.007745870245013,
      6.825755260135879,
      6.6479047062618255,
      6.473671274870731,
      6.302552222433652,
      6.1340870225297035,
      5.967875547277307,
      5.803580492898063,
      5.640935444624246,
      5.479749066805504,
      5.319902804112153,
      5.161354782819681,
      5.004135906108357,
      4.8483504127368695,
      4.694160153410492,
      4.541784892456266,
      4.391493781215662,
      4.243602471020919,
      4.098473755479036,
      3.956516983499516,
      3.8181449836795376,
      3.6837537639909295,
      3.5537111629786353,
      3.428347106003458,
      3.3079458483714017,
      3.192740428037489,
      3.0829095148613184,
      2.9785775107189254,
      2.8798053060776043,
      2.7865948586855716,
      2.6988848000701844,
      2.616552748696519,
      2.5394410008406663,
      2.4673355444630043,
      2.3999921283494214,
      2.3371475946372584,
      2.278507487208941,
      2.223754777620232,
      2.17253794889178,
      2.1244662979729183,
      2.0791709830678964,
      2.0363140029610114,
      1.995572902026518,
      1.9566600650463521,
      1.9193406400578732,
      1.8834315778422412,
      1.8487878520750671,
      1.8152896210181375,
      1.7828319413729061,
      1.7513291244833822,
      1.7207118740808016,
      1.690922957345184,
      1.6619141066172256,
      1.6336437962388408,
      1.606073320465442,
      1.5791667606338655,
      1.552892811024714,
      1.5272236989334713,
      1.50213439025813,
      1.4776020214486822,
      1.453605490406769,
      1.430125157945549,
      1.4071426293205216,
      1.3846405878448529,
      1.362603101738004,
      1.3410157301789423,
      1.3198649855601363,
      1.29913812264526,
      1.2788226126369318,
      1.2589062105323645,
      1.2393770218694835,
      1.220223538308126,
      1.2014346556136342,
      1.182999679964328,
      1.1649083248254002,
      1.1471507028499484,
      1.1297174587989796,
      1.1126004120326078,
      1.0957920093301885,
      1.0792850394305409,
      1.0630722482347854,
      1.0471463669172383,
      1.0315003723153662,
      1.016128499602642,
      1.0010253360774926,
      0.9861851350289398,
      0.9716019977726916,
      0.9572699924818258,
      0.9431832330985221,
      0.9293359289570927,
      0.915722416668455,
      0.9023376995685486,
      0.8891783235050188,
      0.8762406380992518,
      0.8635205842774006,
      0.8510138788569632,
      0.8387161377751399,
      0.8266229567076263,
      0.814729963671582,
      0.8030328526554245,
      0.7915274047830332,
      0.7802095004873221,
      0.7690751258424479,
      0.7581203760840247,
      0.7473414561322458,
      0.7367346789663396,
      0.7262964635801463,
      0.7160233325649128,
      0.705911908828757,
      0.6959589123300427,
      0.6861611570644388,
      0.6765155471682008,
      0.6670190738719746,
      0.6576687974638051,
      0.6484618040720564,
      0.6393952654191652,
      0.630466451601457,
      0.6216727202197827,
      0.6130111964889952,
      0.6044787004210147,
      0.5960722984262097,
      0.5877893054594185,
      0.5796272231590595,
      0.5715836971213228,
      0.5636564872987085,
      0.5558434470536733,
      0.5481425086846144,
      0.5405516729548039,
      0.5330690007517944,
      0.5256926078847638,
      0.5184206608035662,
      0.5112513727585024,
      0.5041830015712131,
      0.4972138470378184,
      0.4903422492916625,
      0.4835665867316061,
      0.476885275123977,
      0.47029676577300394,
      0.46379954454523703,
      0.45739213071070706,
      0.45107307563156557,
      0.4448409620405847,
      0.4386944029474623,
      0.43263204071276,
      0.42665254626724036,
      0.4207546180740296,
      0.41493698152501857,
      0.40919838785835067,
      0.40353761382188136,
      0.39795346068709,
      0.39244475373641313,
      0.3870103413099977,
      0.38164909440763023,
      0.37635990603385167,
      0.3711416778274012,
      0.3659933003752598,
      0.36091363956010636,
      0.3559013600743882,
      0.35095516044674435,
      0.3460738620715225,
      0.3412563758490886,
      0.33650167900092987,
      0.33180879925334517,
      0.3271768036378697,
      0.3226047907277713,
      0.3180919600631533,
      0.3136377528821108,
      0.3092416179343196,
      0.3049031014579516,
      0.30062209775030174,
      0.2963985973212427,
      0.2922323230551334,
      0.28812281563222286,
      0.2840694981877053,
      0.2800717193341483,
      0.27612879238735594,
      0.272240087223071,
      0.26840498700356563,
      0.2646228700256425,
      0.2608933770707861,
      0.2572161782728884,
      0.2535907994809497,
      0.25001667424396445,
      0.24649317790927855,
      0.24301965059349157,
      0.23959541285329114,
      0.23621977575659012,
      0.23289204779829112,
      0.2296115394371146,
      0.22637756621400185,
      0.22318945063024362,
      0.22004652325144528,
      0.2169480947346821,
      0.21389341337741927,
      0.2108817566406068,
      0.20791244180740603,
      0.2049848158125784,
      0.2020982488037761,
      0.19925212938863607,
      0.19644586149966428,
      0.19367886242050553,
      0.1909505612668417,
      0.1882603976882588,
      0.18560782111766108,
      0.18299229052718533,
      0.18041327374969668,
      0.1778702470883716,
      0.17536269522645082,
      0.17289011081408817,
      0.170451994436863,
      0.16804785436877637,
      0.16567720629372185,
      0.1633395733697808,
      0.16103448591844124,
      0.1587614814568814,
      0.15652010432288213,
      0.1543099058522514,
      0.15213044408522136,
      0.14998128358652468,
      0.14786199548070586,
      0.14577215719368863,
      0.14371135242842634,
      0.14167917113925846,
      0.13967520939703626,
      0.1376990691255281,
      0.13575035814128406,
      0.13382869007071052,
      0.1319336841316957,
      0.13006496519292676,
      0.1282221636401909,
      0.12640491527224976,
      0.12461286121334883,
      0.12284564773385517,
      0.12110292620789086,
      0.11938435318205612,
      0.11768959018716556,
      0.11601830362303023,
      0.1143701646903798,
      0.1127448494146924,
      0.11114203836096667,
      0.1095614168342875,
      0.10800267460543922,
      0.10646550598257327,
      0.10494960962402489,
      0.10345468849906689,
      0.10198044974873427,
      0.10052660477645424,
      0.09909286916263768,
      0.09767896244669742,
      0.09628460831718104,
      0.09490953426867603,
      0.09355347177433218,
      0.09221615612253652,
      0.09089732624700558,
      0.08959672492622844,
      0.08831409851251339,
      0.08704919692787122,
      0.08580177375539325,
      0.08457158608562698,
      0.08335839432749079,
      0.08216196232366552,
      0.08098205729361613,
      0.07981844965502494,
      0.0786709130759441,
      0.07753922438599486,
      0.07642316357831502,
      0.07532251391200802,
      0.07423706163178341,
      0.07316659589271073,
      0.07211090879056556,
      0.07106979546973602,
      0.07004305391127925,
      0.06903048485567662,
      0.06803189190094716,
      0.0670470813310013,
      0.06607586222431579,
      0.06511804637913186,
      0.06417344821332052,
      0.06324188462644655,
      0.06232317510291824,
      0.06141714176764876,
      0.06052360910771523,
      0.05964240415481547,
      0.05877335630164437,
      0.057916297311300415,
      0.057071061377362606,
      0.05623748494458895,
      0.05541540675126055,
      0.05460466777505019,
      0.05380511114919393,
      0.05301658228725671,
      0.05223892868533032,
      0.051472000104362405,
      0.0507156483223469,
      0.04996972702102003,
      0.04923409210291376,
      0.048508601447283264,
      0.047793114874155516,
      0.04708749419191098,
      0.04639160306149383,
      0.04570530708096228,
      0.045028473724539185,
      0.04436097233655445,
      0.04370267408177171,
      0.0430534516923623,
      0.04241317983508433,
      0.04178173503721443,
      0.04115899538102835,
      0.04054484066220768,
      0.03993915240862105,
      0.03934181370832328,
      0.03875270926954996,
      0.03817172548048425,
      0.03759875024327427,
      0.03703367300464937,
      0.03647638481809975,
      0.03592677814144833,
      0.035384746974438705,
      0.03485018687119782,
      0.03432299470465606,
      0.03380306884627442,
      0.033290308918717045,
      0.032784616107164,
      0.032285892996134595,
      0.0317940433957487,
      0.03130897250701261,
      0.030830586786648146,
      0.030358794020910046,
      0.02989350331496512,
      0.029434624976247433,
      0.028982070555376976,
      0.02853575290431027,
      0.028095585924574805,
      0.027661484739736012,
      0.02723336569425094,
      0.02681114633807681,
      0.026394745371389187,
      0.025984082529992673,
      0.02557907869142174,
      0.02517965590248393,
      0.02478573715051517,
      0.02439724652009744,
      0.024014109188570738,
      0.023636251394077115,
      0.023263600356729617,
      0.022896084203625225,
      0.022533632209136123,
      0.022176174556112822,
      0.02182364238708671,
      0.02147596775071922,
      0.021133083723931793,
      0.02079492425788257,
      0.020461424269189777,
      0.020132519518539834,
      0.019808146696220774,
      0.019488243256761174,
      0.019172747638277247,
      0.018861601120089982,
      0.018554747491276138,
      0.018252130126938926,
      0.017953692332797103,
      0.017659377618933204,
      0.017369129866576013,
      0.017082893451553945,
      0.016800613312509084,
      0.016522235008663875,
      0.016247704754519015,
      0.015976969444368255,
      0.01570997672383927,
      0.015446674880159657,
      0.01518701284957129,
      0.014930940366598686,
      0.014678407869032925,
      0.014429366386156665,
      0.014183767620249952,
      0.013941563948042248,
      0.013702708513961296,
      0.013467155001710267,
      0.013234857758055506,
      0.01300577177282207,
      0.012779852623089732,
      0.012557056521748378,
      0.012337340342956134,
      0.012120661421042072,
      0.011906977828658918,
      0.01169624810392846,
      0.011488431348760863,
      0.011283487405595694,
      0.011081376540663141,
      0.010882059600095896,
      0.010685497898877587,
      0.010491653383543924,
      0.010300488406268841,
      0.01011196611088982,
      0.009926049925559725,
      0.00974270368033906,
      0.00956189175754326,
      0.009383579308510059,
      0.009207731766807975,
      0.009034314992583581,
      0.008863295399439525,
      0.008694639790665952,
      0.008528315591897161,
      0.008364290576550179,
      0.008202532962365642,
      0.008043011369199812,
      0.007885694867739036,
      0.007730552985289265,
      0.007577555649743942,
      0.007426673262451179,
      0.00727787655660459,
      0.0071311366733857766,
      0.00698642515657182,
      0.006843714012806963,
      0.006702975550759736,
      0.006564182520466885,
      0.006427308057429815,
      0.00629232562801651,
      0.006159209109743735,
      0.006027932746006695,
      0.005898471019649979,
      0.005770798819820669,
      0.005644891496254785,
      0.005520724584156084,
      0.0053982740392371584,
      0.0052775161177183285,
      0.005158427454934818,
      0.005040984973644783,
      0.004925165901603854,
      0.004810947726593334,
      0.004698308445371296,
      0.004587226190900332,
      0.004477679426557135,
      0.004369646899553879,
      0.004263107697620641,
      0.00415804115415702,
      0.004054426907045557,
      0.003952244901372644,
      0.003851475336246586,
      0.003752098752463546,
      0.0036540957778045955,
      0.0035574475283869727,
      0.0034621352480207045,
      0.0033681405400722134,
      0.003275445021643902,
      0.0031840308175938702,
      0.0030938802358848796,
      0.003004975761759704,
      0.0029173001925380027,
      0.0028308367037121088,
      0.002745568426674749,
      0.002661478795843026,
      0.0025785515346562382,
      0.0024967704644393365,
      0.002416119784395679,
      0.0023365839332040303,
      0.002258147566058772,
      0.0021807948332358863,
      0.0021045060672775537,
      0.002029261465351004,
      0.0019550431481884087,
      0.0018818346827462326,
      0.0018096208143392448,
      0.0017383867450994886,
      0.0016681185149832578,
      0.0015988025270294293
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567152910481319,
      10.338120470862165,
      10.101825572607554,
      9.861123907204485,
      9.618358669064442,
      9.3755804738865,
      9.134552884703558,
      8.896720507516688,
      8.663251861474462,
      8.435038215363052,
      8.212694463136728,
      7.996573491824426,
      7.7867921071313235,
      7.583266012053519,
      7.385748961354771,
      7.193870597421215,
      7.007173643367973,
      6.825146499921415,
      6.647259135365943,
      6.472988766600906,
      6.301832769107643,
      6.1333308112472915,
      5.967083106683941,
      5.802752636810735,
      5.640073290544027,
      5.478854078644632,
      5.318976845020222,
      5.1604001818229595,
      5.003155458938279,
      4.8473472772937,
      4.693137765460438,
      4.540747205602632,
      4.390445297980685,
      4.2425480267529,
      4.097419004588144,
      3.955467865392723,
      3.8171072385771843,
      3.6827328321671953,
      3.552712090190544,
      3.4273744612716865,
      3.3070036579752777,
      3.191832128320093,
      3.082037920166848,
      2.977744802086923,
      2.879012853646984,
      2.7858432115859597,
      2.698173416233706,
      2.6158803814733718,
      2.5388056884726766,
      2.4667346006842075,
      2.3994228953701113,
      2.3366071873032563,
      2.277992738816757,
      2.223262263758483,
      2.1720638024956664,
      2.1240065041201053,
      2.078721985389819,
      2.0358724278054283,
      1.995135771053691,
      1.956225014017271,
      1.9189059253229195,
      1.8829959191271963,
      1.848350273764641,
      1.814849330803463,
      1.782388257701462,
      1.7508815881368587,
      1.7202601848472816,
      1.6904669287796363,
      1.6614536332089278,
      1.6331788305673485,
      1.6056038804318833,
      1.5786928959416477,
      1.552414583204492,
      1.526741177419053,
      1.5016476496150786,
      1.4771111389433826,
      1.453110545288819,
      1.4296262307130418,
      1.4066398003051375,
      1.3841339374032522,
      1.3620927312750863,
      1.3405017426223662,
      1.3193475049846277,
      1.2986172704021317,
      1.2782984943490152,
      1.258378920749402,
      1.238846646697495,
      1.2196901574349455,
      1.2008983445940133,
      1.1824605112890496,
      1.1643663684348737,
      1.1466060267526261,
      1.1291701455103385,
      1.1120505655898139,
      1.0952397344125533,
      1.0787304326048206,
      1.062515394130241,
      1.0465873418619398,
      1.0309393325446408,
      1.0155657200375494,
      1.000461019241634,
      0.9856194347260214,
      0.9710350341161793,
      0.9567018625867802,
      0.9426140179090403,
      0.9287656986112568,
      0.9151512336467311,
      0.9017658784916253,
      0.8886061976064707,
      0.8756684420269317,
      0.8629484858595234,
      0.8504420010450534,
      0.8381445726905341,
      0.8260517756363465,
      0.8141592237416917,
      0.802462601534453,
      0.7909576834560491,
      0.7796403453443654,
      0.768506570486863,
      0.7575524519759953,
      0.7467741930620917,
      0.7361681055871309,
      0.725730607874015,
      0.7154582219652197,
      0.7053475704818359,
      0.6953953727596445,
      0.6855984422816742,
      0.6759536828195859,
      0.6664580852488334,
      0.6571087086105865,
      0.6479026370571158,
      0.6388370432293525,
      0.629909197212548,
      0.621116456599041,
      0.6124559814677782,
      0.603924595163884,
      0.5955193514829381,
      0.5872375565556806,
      0.5790767060864374,
      0.5710344414043041,
      0.5631085194592549,
      0.5552967914763401,
      0.547597188416553,
      0.5400077097564137,
      0.5325264156196776,
      0.5251514210302513,
      0.5178808915715287,
      0.5107130400198068,
      0.503646123903748,
      0.4966784425948443,
      0.4898083355605744,
      0.4830341810226829,
      0.47635439423803005,
      0.469767426221755,
      0.46327176243393303,
      0.4568659217415547,
      0.45054845522755615,
      0.44431794510662004,
      0.43817300405765147,
      0.432112274138618,
      0.4261344258219272,
      0.4202381572813924,
      0.41442219347747133,
      0.4086852854505875,
      0.4030262094957867,
      0.3974437664511629,
      0.3919367812554565,
      0.3865041019644672,
      0.3811445992967123,
      0.37585716584701584,
      0.37064071552878336,
      0.3654941832484534,
      0.36041643933545275,
      0.35540611076521467,
      0.3504618872020528,
      0.3455825838619329,
      0.34076710744355687,
      0.3360144321235805,
      0.3313235833953027,
      0.32669362665453916,
      0.32212365942686527,
      0.3176129710045094,
      0.3131610154096856,
      0.30876723235475345,
      0.304431219958886,
      0.30015293384953934,
      0.2959322972995036,
      0.2917689800851424,
      0.2876624873891648,
      0.28361221818104027,
      0.2796175049668859,
      0.2756776600475434,
      0.2717920578135388,
      0.2679600689456269,
      0.26418108069490065,
      0.2604547525046891,
      0.25678073620934816,
      0.25315854561880197,
      0.24958760590656434,
      0.24606728689820218,
      0.24259692509068384,
      0.23917583845496657,
      0.23580333636825515,
      0.23247872611374634,
      0.22920131753847353,
      0.22597042565854247,
      0.2227853724824756,
      0.219645488556499,
      0.21655007421499892,
      0.2134983767314679,
      0.21048967754515527,
      0.20752329642214942,
      0.2045985821578861,
      0.20171490610590942,
      0.19887165761865913,
      0.19606824118114508,
      0.19330407443783823,
      0.19057858669925767,
      0.1878912178596285,
      0.18524141767127864,
      0.18262864514462634,
      0.18005236811022796,
      0.17751206303086386,
      0.17500721455483356,
      0.17253731535587188,
      0.17010186610723083,
      0.16770037503692406,
      0.1653323579087971,
      0.16299733799087054,
      0.1606948456424122,
      0.15842441835188859,
      0.15618560059654624,
      0.1539779435738183,
      0.15180100537126207,
      0.14965435062058974,
      0.1475375505452021,
      0.14545018265690923,
      0.1433918307188379,
      0.14136208471910067,
      0.1393605407611007,
      0.13738680084390936,
      0.1354404727427951,
      0.13352117014832357,
      0.13162851239040818,
      0.12976212443406177,
      0.1279216365737167,
      0.1261066846591349,
      0.12431690989299864,
      0.12255195865165701,
      0.1208114824489587,
      0.1190951377889224,
      0.11740258618673581,
      0.11573349407214883,
      0.11408753284227,
      0.11246437846564891,
      0.1108637117246917,
      0.10928521793942304,
      0.10772858686490287,
      0.10619351288317191,
      0.10467969473347541,
      0.10318683545385982,
      0.10171464229917777,
      0.10026282678131519,
      0.09883110453270004,
      0.09741919520951156,
      0.09602682247170632,
      0.09465371395789265,
      0.09329960114015862,
      0.09196421932574454,
      0.09064730760793685,
      0.08934860889422115,
      0.08806786963561944,
      0.08680483982925503,
      0.08555927303333082,
      0.08433092632451876,
      0.08311956017876898,
      0.08192493853270941,
      0.08074682871415267,
      0.07958500128924115,
      0.07843922999726777,
      0.07730929181801086,
      0.07619496688487637,
      0.07509603845120812,
      0.07401229277829229,
      0.07294351909802932,
      0.07188950955152712,
      0.07085005939550186,
      0.06982496674312456,
      0.06881403242973218,
      0.06781706006025591,
      0.06683385605400426,
      0.06586422966474828,
      0.06490799262318402,
      0.0639649594470097,
      0.06303494714716679,
      0.06211777537295752,
      0.06121326625181417,
      0.060321244349558524,
      0.05944153671952822,
      0.05857397291275091,
      0.05771838475279592,
      0.05687460656138069,
      0.056042474871080925,
      0.0552218285032992,
      0.054412508488840015,
      0.053614358162330435,
      0.0528272229759601,
      0.052050950432292485,
      0.05128539035557133,
      0.050530394640987845,
      0.04978581711299013,
      0.04905151376020771,
      0.048327342466424714,
      0.04761316318756667,
      0.04690883785341061,
      0.0462142300668812,
      0.04552920556697608,
      0.04485363199632248,
      0.04418737865735686,
      0.04353031672636411,
      0.04288231919470114,
      0.04224326077859,
      0.041613018090368305,
      0.040991469393692574,
      0.040378494492130025,
      0.03977397493571402,
      0.03917779399221658,
      0.03858983642455687,
      0.03800998863671808,
      0.037438138638257845,
      0.036874175979815904,
      0.03631799182522202,
      0.03576947870508666,
      0.03522853074988494,
      0.03469504347083676,
      0.034168913820087125,
      0.03365004023675253,
      0.03313832255918381,
      0.0326336620062938,
      0.03213596113836387,
      0.03164512386150107,
      0.031161055443535125,
      0.030683662551367424,
      0.03021285303868013,
      0.029748535945568595,
      0.029290621639245614,
      0.028839021905739576,
      0.028393649608449548,
      0.027954418751339322,
      0.027521244568901586,
      0.02709404357656033,
      0.026672733307593306,
      0.026257232353424628,
      0.025847460630267906,
      0.025443339186697726,
      0.025044789964826057,
      0.02465173609919094,
      0.024264101794134275,
      0.023881812300683227,
      0.02350479387828465,
      0.02313297379270984,
      0.022766280285625405,
      0.02240464277715072,
      0.02204799147500496,
      0.021696257610279466,
      0.021349373229923738,
      0.021007271496956834,
      0.02066988649066258,
      0.020337153097998693,
      0.0200090071973608,
      0.019685385483739215,
      0.01936622551347062,
      0.019051465853904173,
      0.01874104729250481,
      0.01843491356605427,
      0.01813300839836932,
      0.017835275324572252,
      0.017541657984989766,
      0.017252100381389728,
      0.016966547026586634,
      0.0166849429111669,
      0.016407233656873174,
      0.016133365577077348,
      0.01586328558074612,
      0.015596941409666233,
      0.015334281325257836,
      0.015075254433854962,
      0.014819810557018876,
      0.014567900098524727,
      0.01431947418703376,
      0.014074484605238465,
      0.01383288375347462,
      0.013594624889255075,
      0.013359661835820326,
      0.013127948864739026,
      0.012899441000001122,
      0.012674093924196682,
      0.012451863957541082,
      0.012232707911762553,
      0.012016583334303036,
      0.011803448303821372,
      0.011593261373576785,
      0.01138598180347,
      0.011181569336445703,
      0.010979984377831814,
      0.010781187859001085,
      0.010585141065070244,
      0.010391805902955485,
      0.010201144891626324,
      0.010013121072573692,
      0.009827698049048395,
      0.009644839830713426,
      0.009464510940437867,
      0.009286676370428149,
      0.009111301515093068,
      0.008938352435818591,
      0.008767795530505093,
      0.008599597751809141,
      0.008433726400990221,
      0.008270149343161856,
      0.008108834849370701,
      0.007949751656592745,
      0.007792868933974054,
      0.007638156276467228,
      0.007485583610948261,
      0.00733512126269208,
      0.00718674009329998,
      0.00704041131630421,
      0.006896106492474916,
      0.00675379764709546,
      0.0066134571984596,
      0.006475057849558774,
      0.006338572786335596,
      0.006203975559559346,
      0.006071240057541002,
      0.005940340473508144,
      0.005811251363336729,
      0.0056839476793923305,
      0.005558404875718927,
      0.005434598557105539,
      0.005312504714308542,
      0.005192099597798731,
      0.00507335986664359,
      0.004956262496593898,
      0.004840784785067111,
      0.004726904281289864,
      0.004614598952621804,
      0.004503847021650695,
      0.004394626893354467,
      0.004286917439451374,
      0.004180697769098189,
      0.004075947274158141,
      0.00397264563087332,
      0.003870772802900254,
      0.0037703089817387654,
      0.003671234763346221,
      0.00357353094480253,
      0.003477178518819463,
      0.003382158860037046,
      0.0032884534038138684,
      0.0031960439040027745,
      0.0031049126159817674,
      0.0030150418514898027,
      0.002926414170148571,
      0.002839012323562567,
      0.002752819359946304,
      0.0026678185696346595,
      0.0025839935083670916,
      0.002501327920515276,
      0.0024198057195255196,
      0.0023394110457469787,
      0.002260128344200813,
      0.0021819422206674614,
      0.002104837546701154,
      0.002028799374831851,
      0.0019538129116583158,
      0.001879863669758363,
      0.001806937277090369,
      0.0017350195351564365,
      0.0016640964968200867,
      0.0015941543798090776,
      0.0015251785462768277
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567145101114134,
      10.338094432683784,
      10.101773333379382,
      9.861040149093592,
      9.618239800114889,
      9.375423959780683,
      9.13435728018365,
      8.896485440671288,
      8.66297748013938,
      8.434724992452303,
      8.212343028712118,
      7.996184500783534,
      7.786366145449579,
      7.582803539585366,
      7.385250274790022,
      7.193335826931712,
      7.006602708205898,
      6.824539116834273,
      6.646615027913252,
      6.4723077952353005,
      6.301114929763338,
      6.132576335314249,
      5.9662925208003745,
      5.801926754066074,
      5.639213226506583,
      5.477961296613498,
      5.318053208043717,
      5.159448017395081,
      5.002177559288594,
      4.846346795630044,
      4.692118132556964,
      4.5397123679398295,
      4.389399748102295,
      4.241496589451629,
      4.096367321720876,
      3.954421860977797,
      3.816072637312423,
      3.6817150578908673,
      3.5517161717182266,
      3.4264049506405034,
      3.3060645648344584,
      3.190926873858147,
      3.08116930392727,
      2.9769149922183504,
      2.8782232112348605,
      2.785094278657744,
      2.6974646457251006,
      2.615210523850452,
      2.538172781068963,
      2.4661359582288855,
      2.3988558618792113,
      2.336068881617745,
      2.277479999109156,
      2.2227716724204347,
      2.171591500187565,
      2.1235484845384587,
      2.0782747006241906,
      2.0354325130211044,
      1.9947002561167642,
      1.955791542202382,
      1.9184727590163004,
      1.882561784059126,
      1.8479141984383625,
      1.8144104669264682,
      1.781945945582117,
      1.7504353836595166,
      1.7198097989088317,
      1.6900121829960173,
      1.6609944284925322,
      1.632715123764149,
      1.605135692155765,
      1.578220278067183,
      1.5519375984808788,
      1.5262598961021774,
      1.501162146998385,
      1.4766214935346897,
      1.4526168369207777,
      1.4291285402133085,
      1.4061382084354854,
      1.3836285245913982,
      1.3615835997044508,
      1.3399889956370767,
      1.318831267526727,
      1.2980976632072645,
      1.2777756228726211,
      1.257852879413465,
      1.2383175214165876,
      1.2191580288101909,
      1.2003632887224627,
      1.1819226008833315,
      1.1638256737940176,
      1.1460626156673337,
      1.1286241001071777,
      1.111501989954974,
      1.0946887322867025,
      1.078177100050272,
      1.0619598160090586,
      1.0460295946575784,
      1.0303795728748844,
      1.0150042229753007,
      0.9998979874855954,
      0.9850550221761378,
      0.970469361005005,
      0.9561350261703898,
      0.9420460994975554,
      0.9281967682722939,
      0.9145813538103241,
      0.901195363645709,
      0.888035381277718,
      0.8750975589213978,
      0.8623777038830164,
      0.8498714425840449,
      0.8375743297759292,
      0.8254819195304276,
      0.8135898116652657,
      0.8018936810578438,
      0.7903892955307505,
      0.77907252654191,
      0.7679393541962171,
      0.7569858696564704,
      0.7462082745877817,
      0.7356028796772387,
      0.7251661027114121,
      0.7148944648855664,
      0.7047845879542499,
      0.6948331914227506,
      0.6850370879832525,
      0.6753931812984425,
      0.6658984618126466,
      0.6565499870397967,
      0.6473448395613162,
      0.6382801924504982,
      0.6293533161586312,
      0.6205615683920138,
      0.6119021438595533,
      0.6033718694875577,
      0.5949677865014119,
      0.5866871923286755,
      0.5785275762501623,
      0.5704865755246067,
      0.5625619440153001,
      0.5547515311325275,
      0.547053266033891,
      0.5394651468492346,
      0.531985232825774,
      0.5246116383932666,
      0.5173425286364941,
      0.5101761159716814,
      0.5031106571123092,
      0.49614445091430637,
      0.48927583667231084,
      0.48250319216049564,
      0.47582493223706585,
      0.46923950745804227,
      0.4627454029354902,
      0.4563411371397252,
      0.4500252607782109,
      0.44379635575596976,
      0.43765303434893793,
      0.43159393829077236,
      0.4256177377005337,
      0.4197231303127565,
      0.4139088407602665,
      0.4081736197344446,
      0.4025162431546059,
      0.396935511552457,
      0.39143024937012383,
      0.3859993044286054,
      0.3806415470110538,
      0.3753558693503984,
      0.37014118514343053,
      0.36499642888962636,
      0.3599204748695958,
      0.3549119802837707,
      0.3499696527870844,
      0.34509229247132517,
      0.34027879284058515,
      0.3355281190795856,
      0.33083929036796295,
      0.3262113677151832,
      0.3216434756562451,
      0.31713497664148327,
      0.3126853093771507,
      0.3082939047861284,
      0.3039604258879286,
      0.2996848863945101,
      0.29546713388952556,
      0.291306788003775,
      0.2872033200523258,
      0.2831561064273891,
      0.27916446480144835,
      0.27522770701594484,
      0.2713452115483294,
      0.26751633692863513,
      0.263740479688872,
      0.26001731816935286,
      0.25634648607487537,
      0.2527274849762504,
      0.24915973199133995,
      0.24564259138691769,
      0.24217539597723162,
      0.23875746117247396,
      0.2353880946322693,
      0.23206660266775314,
      0.22879229433388146,
      0.22556448418246652,
      0.2223824939800128,
      0.21924565384303363,
      0.21615325389382944,
      0.21310454056789785,
      0.2100987990107332,
      0.20713535166929364,
      0.2042135490793286,
      0.20133276370437053,
      0.19849238577408793,
      0.19569182049587708,
      0.19293048593068565,
      0.19020781155075944,
      0.18752323742378674,
      0.18487621343596333,
      0.18226619870401034,
      0.1796926611238611,
      0.17715507718189327,
      0.17465293155799344,
      0.17218571699016091,
      0.16975293413978826,
      0.16735409136850612,
      0.16498870443251673,
      0.1626562965711605,
      0.16035639830275736,
      0.1580885470361071,
      0.15585228733605677,
      0.15364717057845523,
      0.1514727548716803,
      0.14932860487557778,
      0.14721429181008366,
      0.14512939318340348,
      0.14307349277932224,
      0.14104618062420585,
      0.13904705276226187,
      0.13707571136597269,
      0.13513176441311764,
      0.13321482558438327,
      0.13132451423513142,
      0.12946045535237047,
      0.1276222793951587,
      0.12580962215773253,
      0.12402212487865252,
      0.12225943395910939,
      0.12052120105377283,
      0.1188070827073409,
      0.11711674053436241,
      0.11544984104630959,
      0.11380605558330749,
      0.11218506026135439,
      0.1105865358395452,
      0.10901016770418553,
      0.10745564582994638,
      0.10592266465411884,
      0.10441092289572135,
      0.1029201236943827,
      0.10144997437542842,
      0.10000018640100751,
      0.09857047549434828,
      0.09716056138348612,
      0.09577016783906399,
      0.09439902257923749,
      0.093046857207335,
      0.09171340711826916,
      0.09039841148168347,
      0.08910161313632375,
      0.08782275856706236,
      0.08656159799021285,
      0.08531788510497786,
      0.08409137701021796,
      0.08288183424082542,
      0.0816890209056139,
      0.08051270427773156,
      0.07935265502336206,
      0.07820864699692111,
      0.07708045713672895,
      0.07596786573753664,
      0.07487065615619282,
      0.07378861466200741,
      0.07272153065702933,
      0.07166919642399064,
      0.07063140726665887,
      0.06960796123162347,
      0.06859865932668366,
      0.06760330530476036,
      0.06662170572517011,
      0.0656536697197074,
      0.06469900921662648,
      0.0637575387264772,
      0.06282907539825887,
      0.061913438948540137,
      0.06101045165107881,
      0.06011993818931708,
      0.05924172568354061,
      0.05837564373017538,
      0.05752152425602492,
      0.056679201629587866,
      0.05584851251120867,
      0.05502929576230456,
      0.054221392560368745,
      0.0534246462075608,
      0.052638902259119394,
      0.05186400843121275,
      0.05109981462809201,
      0.05034617274224244,
      0.049602936681624306,
      0.04886996252514747,
      0.04814710825386714,
      0.04743423377901275,
      0.0467312011645937,
      0.04603787427003953,
      0.045354118784461675,
      0.04467980245234805,
      0.04401479475991801,
      0.043358966885837055,
      0.04271219196057328,
      0.04207434482409792,
      0.04144530201286587,
      0.04082494181692214,
      0.040213144315218774,
      0.03960979116926144,
      0.03901476561414372,
      0.03842795256017573,
      0.03784923851990644,
      0.037278511518860614,
      0.03671566120621222,
      0.03616057877438288,
      0.03561315684978057,
      0.035073289611381946,
      0.03454087275330343,
      0.0340158032656432,
      0.03349797962071952,
      0.03298730180954414,
      0.032483671113672855,
      0.031986990177530324,
      0.03149716303250223,
      0.031014094992224853,
      0.03053769271864788,
      0.03006786411186643,
      0.029604518395477945,
      0.029147566140319187,
      0.028696919061247158,
      0.028252489967987463,
      0.02781419306046589,
      0.027381943669377316,
      0.026955658294320166,
      0.026535254620708576,
      0.02612065152216772,
      0.025711768819673124,
      0.025308527521252254,
      0.024910849760955346,
      0.02451865864058553,
      0.024131878444043846,
      0.023750434538195617,
      0.02337425332885587,
      0.02300326215716111,
      0.02263738941592898,
      0.02227656436476212,
      0.021920717374750927,
      0.02156977970654471,
      0.021223683619868306,
      0.020882362224183833,
      0.020545749662133576,
      0.020213780935731392,
      0.01988639195718084,
      0.019563519565224802,
      0.019245101353620307,
      0.0189310759230754,
      0.018621383549871796,
      0.018315968045291377,
      0.018014773417886196,
      0.017717743362097343,
      0.01742482175013574,
      0.017135952634377158,
      0.01685108056254728,
      0.016570150678414875,
      0.016293108665680442,
      0.016019900872281778,
      0.01575047434807905,
      0.015484776809182933,
      0.01522275671260809,
      0.014964363289833171,
      0.014709546290285995,
      0.014458256248795319,
      0.01421044431697495,
      0.013966062396246037,
      0.013725062980961928,
      0.013487399213729875,
      0.013253024975364921,
      0.013021894722938868,
      0.012793963533980426,
      0.012569187095513993,
      0.0123475216956994,
      0.012128924357799949,
      0.011913352576027963,
      0.011700764524337492,
      0.011491118828522804,
      0.011284374862129232,
      0.011080492402438845,
      0.01087943175902017,
      0.010681153859750674,
      0.010485620237483733,
      0.01029279292991555,
      0.010102634489805284,
      0.009915107965281665,
      0.009730176888339366,
      0.00954780537991468,
      0.009367957996400332,
      0.009190599724097939,
      0.00901569621093283,
      0.00884321342785276,
      0.008673117898134602,
      0.00850537654044163,
      0.008339956806118735,
      0.008176826583454375,
      0.008015954122420574,
      0.007857308241052718,
      0.00770085803737212,
      0.007546573194596434,
      0.007394423715645413,
      0.007244379990143132,
      0.007096412881537072,
      0.00695049372740044,
      0.006806594112337316,
      0.006664686106403414,
      0.006524742250880251,
      0.006386735285082928,
      0.006250638383062812,
      0.006116425035246459,
      0.005984069173640596,
      0.0058535451139736135,
      0.005724827544011213,
      0.005597891475032249,
      0.0054727122200751615,
      0.005349265456158836,
      0.005227527198648972,
      0.0051074738344527,
      0.004989082080164426,
      0.004872328903420279,
      0.004757191610577962,
      0.004643647821292671,
      0.004531675501461248,
      0.0044212529659475655,
      0.004312358685164118,
      0.004204971486819069,
      0.004099070421944107,
      0.003994635064494532,
      0.0038916451573399093,
      0.003790080602916151,
      0.0036899216578600174,
      0.003591148868166876,
      0.0034937430755260135,
      0.003397685335771142,
      0.0033029570926151417,
      0.0032095398821550512,
      0.003117415616649054,
      0.0030265663352084865,
      0.0029369743944889478,
      0.002848622379938435,
      0.0027614931454595167,
      0.0026755697654580633,
      0.002590835666032784,
      0.0025072743049233135,
      0.0024248694757488054,
      0.0023436051741733688,
      0.002263465586135423,
      0.0021844350830316664,
      0.0021064983765493915,
      0.0020296402551053024,
      0.0019538458486243254,
      0.0018791004745737701,
      0.0018053895805794477,
      0.0017326988398074614,
      0.001661014234607006,
      0.0015903216899067884,
      0.0015206075395650357,
      0.0014518582244572198
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567137312496046,
      10.338068461291813,
      10.101721224559038,
      9.860956594290052,
      9.61812121395478,
      9.375267814737782,
      9.134162134525518,
      8.89625092332298,
      8.662703740919609,
      8.434412506104158,
      8.211992426051754,
      7.995796439602379,
      7.785941210837727,
      7.582342189192547,
      7.384752806755885,
      7.192802372445661,
      7.006033186366889,
      6.823933242971233,
      6.645972525284403,
      6.471628522498504,
      6.300398885998854,
      6.131823777417515,
      5.965503976910448,
      5.801103037544862,
      5.638355453892281,
      5.477070932126328,
      5.317132113815842,
      5.158498519554315,
      5.001202448453421,
      4.845349222286639,
      4.691101523096615,
      4.538680662273932,
      4.388357429280556,
      4.24044847008238,
      4.095319029094091,
      3.9533793033649607,
      3.815041522248447,
      3.6807007916010215,
      3.550723765283322,
      3.4254389389286213,
      3.3051289416143894,
      3.1900250446300458,
      3.080304053874916,
      2.9760884762513578,
      2.8774367775203453,
      2.7843484583799802,
      2.696758885518996,
      2.6145435708164904,
      2.537542670861649,
      2.465540005290239,
      2.3982914110555846,
      2.3355330274524366,
      2.27696956582581,
      2.222283256888444,
      2.1711212592835962,
      2.1230924287709856,
      2.077829297582708,
      2.034994411968024,
      1.9942664997186954,
      1.9553597846356148,
      1.9180412713082542,
      1.8821292984393505,
      1.8474797491648522,
      1.8139731988735954,
      1.7815052060708498,
      1.7499907336015252,
      1.719360952633963,
      1.6895589649648566,
      1.6605367413052676,
      1.6322529257567853,
      1.604669005736886,
      1.577749156696597,
      1.5514621062281115,
      1.5257801044270742,
      1.5006781320241718,
      1.476133334018153,
      1.452124613326052,
      1.42863233336204,
      1.405638099002734,
      1.3831245928854237,
      1.3610759477026189,
      1.3394777400196574,
      1.318316539270421,
      1.2975795772070169,
      1.2772542802400988,
      1.2573283714134553,
      1.2377899323950832,
      1.2186274375025685,
      1.1998297704323593,
      1.181386227733959,
      1.1632865154416236,
      1.145520739763035,
      1.1280795887318948,
      1.1109549474444753,
      1.0941392631792648,
      1.0776253007868082,
      1.0614057713083733,
      1.045473381048618,
      1.0298214044555518,
      1.0144443551465157,
      0.9993366101632483,
      0.9844922803809674,
      0.9699053690091282,
      0.9555698770053775,
      0.9414798716182037,
      0.9276295302015996,
      0.9140131667728318,
      0.900626541411448,
      0.8874662567840965,
      0.8745283666660999,
      0.8618086117391798,
      0.8493025731819178,
      0.8370057748005528,
      0.8249137500184589,
      0.8130220845774099,
      0.8013264438710038,
      0.7898225894713897,
      0.7785063882136103,
      0.7673738172588191,
      0.7564209656456491,
      0.7456440334621546,
      0.7350393304762043,
      0.7246032733589088,
      0.714332382666293,
      0.7042232797980402,
      0.6942726835914379,
      0.6844774067628716,
      0.6748343524336925,
      0.6653405107437439,
      0.6559929369399001,
      0.6467887129953636,
      0.6377250123350131,
      0.6287991056698319,
      0.620008350916181,
      0.6113499776108485,
      0.6028208162310431,
      0.5944178950716563,
      0.5861385026231031,
      0.5779801222452405,
      0.5699403867132208,
      0.5620170470255704,
      0.5542079503376766,
      0.5465110242999732,
      0.5389242658889659,
      0.5314457334142783,
      0.524073540650306,
      0.5168058519435405,
      0.5096408790831574,
      0.5025768785129231,
      0.4956121488130744,
      0.4887450285823887,
      0.48197389520834766,
      0.4752971632356607,
      0.4687132828713665,
      0.462220738785611,
      0.4558180490339692,
      0.44950376395519387,
      0.4432764651758075,
      0.43713476470143414,
      0.4310773037686688,
      0.4251027520714857,
      0.4192098069853861,
      0.41339719276767983,
      0.40766365976323127,
      0.40200798354276884,
      0.39642896428166324,
      0.39092542610379544,
      0.3854962162901764,
      0.38014020486541017,
      0.37485628385164826,
      0.3696433665744109,
      0.3645003870730176,
      0.3594261986691699,
      0.3544194563362459,
      0.34947889428628254,
      0.34460335558986493,
      0.3397917487445914,
      0.3350430218469832,
      0.3303561784296166,
      0.32573026866642185,
      0.32116446546873284,
      0.31665818148442887,
      0.31221082366753755,
      0.3078218260019374,
      0.30349095211045785,
      0.29921820742710925,
      0.2950033720964152,
      0.2908460203709719,
      0.2867455930404805,
      0.2827014460786383,
      0.27871288441366965,
      0.2747792222458377,
      0.2708998394598318,
      0.26707408343658734,
      0.26330136174803986,
      0.2595813700942237,
      0.25591372429021636,
      0.25229791413191727,
      0.24873334886276716,
      0.24521938733217408,
      0.24175535862062145,
      0.23834057586844928,
      0.23497434507881973,
      0.23165597144811795,
      0.22838476327390822,
      0.22516003456311526,
      0.22198110684763292,
      0.21884731008825012,
      0.21575792395957924,
      0.212712194191935,
      0.2097094098842119,
      0.20674889596658683,
      0.20383000465720175,
      0.2009521096750832,
      0.19811460203082937,
      0.1953168874689866,
      0.19255838438260858,
      0.18983852254912958,
      0.18715674216178393,
      0.1845124932937375,
      0.18190523511857493,
      0.17933443563648052,
      0.17679957143385033,
      0.17430012728568572,
      0.17183559601943693,
      0.16940547839252407,
      0.1670092826777482,
      0.16464652476372632,
      0.16231672791817237,
      0.16001942258977198,
      0.15775414630475154,
      0.1555204435948868,
      0.1533178659125126,
      0.15114597129073315,
      0.14900432456850682,
      0.1468924969793792,
      0.144810066095382,
      0.14275661583949364,
      0.14073173629333022,
      0.1387350235549814,
      0.1367660797217044,
      0.13482451273781051,
      0.13290993636172962,
      0.13102197002923302,
      0.12916023875941768,
      0.12732437305200398,
      0.1255140089030622,
      0.12372878754514488,
      0.12196835540711942,
      0.12023236407743353,
      0.11852047018170715,
      0.11683233559429539,
      0.11516762680791709,
      0.11352601527224723,
      0.11190717713106171,
      0.11031079319764786,
      0.10873654887499054,
      0.10718413423754682,
      0.10565324381020484,
      0.10414357643845196,
      0.10265483516645463,
      0.10118672737057005,
      0.09973896477409681,
      0.09831126313302081,
      0.09690334224727568,
      0.09551492595374551,
      0.09414574199943009,
      0.09279552203646835,
      0.09146400150913363,
      0.09015091971342754,
      0.08885601950731646,
      0.08757904753578165,
      0.0863197540301707,
      0.08507789271237949,
      0.08385322083528877,
      0.0826454991466782,
      0.08145449170314385,
      0.08027996583900038,
      0.07912169225798726,
      0.07797944494311089,
      0.07685300103666448,
      0.07574214083367153,
      0.07464664771642604,
      0.07356630814139897,
      0.07250091151051768,
      0.07145025017962427,
      0.0704141195354354,
      0.06939231783527262,
      0.06838464606671639,
      0.06739090803037244,
      0.0664109103280427,
      0.06544446226879959,
      0.06449137580721141,
      0.0635514657016743,
      0.06262454907167754,
      0.06171044569289809,
      0.06080897789440132,
      0.05991997049092911,
      0.059043250699257456,
      0.05817864820306881,
      0.05732599501403225,
      0.05648512562145865,
      0.05565587664877797,
      0.05483808711259673,
      0.05403159824849307,
      0.05323625347287115,
      0.052451898428720764,
      0.05167838092248074,
      0.0509155507798966,
      0.050163260043297964,
      0.04942136288478384,
      0.04868971546699764,
      0.047968175779633276,
      0.04725660385159691,
      0.046554861815495924,
      0.04586281355957191,
      0.04518032506459015,
      0.04450726402291916,
      0.04384349987459897,
      0.04318890401547721,
      0.04254334961507064,
      0.04190671152416533,
      0.041278866433469404,
      0.04065969272134121,
      0.04004907049245357,
      0.03944688146727529,
      0.038853009023913206,
      0.03826733819554978,
      0.03768975553412236,
      0.037120149154841464,
      0.03655840879630983,
      0.03600442571181668,
      0.03545809263649541,
      0.03491930387157995,
      0.034387955161432546,
      0.03386394363035455,
      0.033347167820026884,
      0.03283752766872966,
      0.032334924632940396,
      0.03183926142020882,
      0.03135044213715501,
      0.030868372204499988,
      0.030392958362878964,
      0.029924108623313284,
      0.029461732254616103,
      0.02900573979447925,
      0.02855604309113203,
      0.028112555108047495,
      0.027675190073906827,
      0.027243863452114072,
      0.02681849181400779,
      0.0263989928499318,
      0.025985285434926838,
      0.025577289566227842,
      0.025174926259963072,
      0.024778117827422456,
      0.02438678757747727,
      0.024000859751885092,
      0.023620259680447543,
      0.023244913863840807,
      0.022874749711560283,
      0.0225096956012355,
      0.022149680979925482,
      0.021794636234076518,
      0.0214444927112666,
      0.021099182756628258,
      0.020758639564018817,
      0.020422797471025024,
      0.020091591466288965,
      0.01976495748840246,
      0.019442832454810623,
      0.019125154065591753,
      0.018811860940903893,
      0.018502893175487842,
      0.018198194267065284,
      0.0178977084583331,
      0.017601379660075987,
      0.017309151861284382,
      0.017020969316387122,
      0.016736776715161928,
      0.016456519111996745,
      0.016180142403968263,
      0.015907593105976354,
      0.015638818249146775,
      0.015373765796781583,
      0.015112384141115731,
      0.014854622479971895,
      0.01460043068111944,
      0.014349759378470382,
      0.014102559784668138,
      0.013858783830756652,
      0.013618384079288625,
      0.013381313710132401,
      0.013147526629549757,
      0.012916977416463065,
      0.012689621182592314,
      0.012465413758930923,
      0.012244311490793462,
      0.012026271340071462,
      0.011811250849967678,
      0.011599208232991275,
      0.011390102226034508,
      0.011183892163865358,
      0.010980537915090889,
      0.01077999994655551,
      0.010582239301812147,
      0.01038721752059837,
      0.010194896600976618,
      0.010005239161885568,
      0.009818208366401585,
      0.009633767777247658,
      0.009451881487463534,
      0.009272514100187,
      0.009095630729833737,
      0.00892119701146342,
      0.008749179061452369,
      0.008579543427072352,
      0.008412257095389822,
      0.008247287503501531,
      0.008084602614322032,
      0.007924170771766995,
      0.007765960684737801,
      0.0076099415906322725,
      0.007456083159846724,
      0.007304355555112439,
      0.0071547291933329125,
      0.00700717502403932,
      0.006861664243465978,
      0.006718168658868704,
      0.006576660291233094,
      0.006437111647579936,
      0.006299495459947853,
      0.006163785074927245,
      0.006029954100642674,
      0.005897976500592782,
      0.005767826669460576,
      0.0056394792818080155,
      0.005512909326238695,
      0.005388092242546287,
      0.005265003793479238,
      0.00514362001420338,
      0.005023917219982404,
      0.004905872212280286,
      0.004789461958559776,
      0.004674663832732226,
      0.004561455538969222,
      0.004449814992633718,
      0.004339720392341441,
      0.004231150420789109,
      0.00412408397648696,
      0.004018500294626985,
      0.003914378757355774,
      0.0038116991309474373,
      0.0037104414799016103,
      0.0036105861142565763,
      0.0035121136648328275,
      0.003415004911958905,
      0.0033192409834627147,
      0.003224803235949707,
      0.003131673398192723,
      0.0030398333145630987,
      0.0029492650712940474,
      0.0028599510722144192,
      0.002771873982967694,
      0.0026850166113304747,
      0.0025993620879043383,
      0.0025148937427915616,
      0.0024315951992665993,
      0.0023494502839713233,
      0.0022684429188161485,
      0.002188557363328485,
      0.002109778165560187,
      0.002032089974188627,
      0.0019554776181786417,
      0.001879926206300126,
      0.0018054210050076629,
      0.0017319476223185027,
      0.001659491715952645,
      0.0015880391978801238,
      0.0015175761790598681,
      0.0014480889147805878,
      0.0013795639352258886
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56712954432213,
      10.33804256034811,
      10.101669256207682,
      9.860873263798089,
      9.618002943271064,
      9.375112081577935,
      9.1339675021041,
      8.89601702653679,
      8.66243073214721,
      8.434100860525701,
      8.21164277456034,
      7.995409439215682,
      7.785517448643417,
      7.5818821249796455,
      7.384256738743362,
      7.192270432535259,
      7.00546529472733,
      6.823329113140037,
      6.645331878395578,
      6.470951219494746,
      6.299684930052797,
      6.131073428150862,
      5.964717764379102,
      5.800281777674996,
      5.637500264782746,
      5.4761832781412245,
      5.316213857304131,
      5.157551985352809,
      5.000230424671909,
      4.844354856279463,
      4.690088237094832,
      4.537652389354024,
      4.387318642552129,
      4.239403970774634,
      4.094274429861451,
      3.952340494787638,
      3.814014194051566,
      3.6796903323610013,
      3.549735168535393,
      3.424476721383632,
      3.3041970784086754,
      3.1891269254611307,
      3.0794424487507057,
      2.975265525193008,
      2.876653816765624,
      2.7836060101234423,
      2.696056391997155,
      2.613879776594786,
      2.5369156096750234,
      2.4649469911533592,
      2.3977297899873538,
      2.3349998614747762,
      2.2764615829948194,
      2.221797086282563,
      2.1706530132072737,
      2.1226381676693196,
      2.0773855311913727,
      2.03455779042308,
      1.9938341082431348,
      1.9549293105374985,
      1.9176110101286505,
      1.8816979999940602,
      1.8470464606664705,
      1.8135370759301275,
      1.7810656037558985,
      1.749547219338039,
      1.7189132452480296,
      1.6891068916969467,
      1.6600802066291467,
      1.6317918893295535,
      1.6042034903784497,
      1.5772792159272586,
      1.5509878042845326,
      1.52530151273752,
      1.5001953266848447,
      1.4756463939157392,
      1.451633619109636,
      1.4281373661439267,
      1.4051392393965787,
      1.382621921447058,
      1.360569566152171,
      1.3389677673266178,
      1.3178031071801564,
      1.2970627993549049,
      1.2767342571450049,
      1.2568051938027212,
      1.237263684081122,
      1.2180981973513625,
      1.1992976133720767,
      1.1808512254125485,
      1.1627487370405831,
      1.1449802529668254,
      1.1275364753483528,
      1.1104093115339613,
      1.093591209255868,
      1.0770749249073674,
      1.060853158209575,
      1.0449186071694367,
      1.0292647050682437,
      1.0138859784151173,
      0.9987767413370712,
      0.9839310614056567,
      0.9693429119036577,
      0.9550062734156044,
      0.9409151991722814,
      0.9270638563384225,
      0.9134466841238394,
      0.9000596277818572,
      0.8868991769412402,
      0.8739613088795003,
      0.8612417125197356,
      0.8487359341114189,
      0.836439473878182,
      0.8243478489206838,
      0.8124566341877602,
      0.8007614876337065,
      0.7892581655946165,
      0.7779425315413977,
      0.7668105602315132,
      0.7558583387068356,
      0.7450820658551118,
      0.7344780507702185,
      0.7240427095297667,
      0.7137725620868264,
      0.7036642294701747,
      0.6937144300606727,
      0.6839199761224177,
      0.6742777703163193,
      0.6647848025562387,
      0.6554381257210649,
      0.6462348213272082,
      0.6371720632240352,
      0.6282471224542415,
      0.6194573568591331,
      0.6108000312797927,
      0.602271979431656,
      0.593870216848311,
      0.5855920231247858,
      0.5774348755122305,
      0.5693964026732433,
      0.5614743526550181,
      0.5536665702709422,
      0.5459709814753368,
      0.5383855820033879,
      0.5309084293162364,
      0.5235376363920128,
      0.5162713671038061,
      0.5091078325984713,
      0.5020452887801841,
      0.49508203368223325,
      0.48821640569714936,
      0.481446781908035,
      0.4747715763990412,
      0.46818923877913604,
      0.4616982535854132,
      0.4552971384109606,
      0.44898444327933,
      0.44275874933740933,
      0.4366186681438663,
      0.4305628405903884,
      0.42458993599552025,
      0.41869865152602526,
      0.4128877110102666,
      0.40715586431621453,
      0.40150188676364507,
      0.39592457831965605,
      0.39042276270868437,
      0.3849952867941168,
      0.37964102018444884,
      0.37435885445660094,
      0.36914770260917645,
      0.36400649849364775,
      0.35893407464324634,
      0.3539290835424105,
      0.34899026687502266,
      0.34411647248845384,
      0.3393066269763693,
      0.33455971582262156,
      0.32987476309179364,
      0.3252508040827993,
      0.32068708489577585,
      0.31618301909029145,
      0.3117379786398725,
      0.3073513990720293,
      0.3030231472016713,
      0.2987532095857602,
      0.2945413004940819,
      0.2903869498290061,
      0.2862895687349951,
      0.28224849301855476,
      0.27826301495853584,
      0.27433245679206025,
      0.2704561928041215,
      0.2666335599131771,
      0.26286399167689706,
      0.2591471817732028,
      0.25548273035192826,
      0.2518701166850783,
      0.24830874273408296,
      0.2447979625918753,
      0.24133710224823898,
      0.2379254725269038,
      0.23456237806869465,
      0.23124712303122155,
      0.22797901506718155,
      0.22475736775014665,
      0.22158150229748452,
      0.2184507478227986,
      0.2153643742061969,
      0.2123216269598484,
      0.20932179882225213,
      0.20636421728701754,
      0.20344823634761142,
      0.20057323085541134,
      0.19773859261861707,
      0.194943727859072,
      0.1921880553181419,
      0.1894710050561867,
      0.18679201750935326,
      0.1841505428133242,
      0.1815460402648557,
      0.17897797803449225,
      0.17644583270937989,
      0.17394908913646195,
      0.17148724015849662,
      0.16905978656685644,
      0.16666623676887135,
      0.16430610660781653,
      0.16197891935455247,
      0.15968420552095872,
      0.1574215027433676,
      0.15519035554477453,
      0.15299031538914232,
      0.15082094037885221,
      0.14868179532044634,
      0.14657245150349119,
      0.14449248662476996,
      0.1424414845525189,
      0.14041903542623466,
      0.13842473548184997,
      0.13645818681210503,
      0.1345189974555534,
      0.13260678124876182,
      0.13072115764512543,
      0.12886175175998946,
      0.1270281941726438,
      0.12522012086554526,
      0.12343717311033686,
      0.12167899741451853,
      0.1199452454910222,
      0.11823557406590508,
      0.11654964481651289,
      0.11488712448416627,
      0.11324768455785943,
      0.11163100130442338,
      0.11003675556539656,
      0.1084646328173102,
      0.10691432308156129,
      0.10538552088722779,
      0.10387792524938204,
      0.10239123938172494,
      0.1009251708054523,
      0.0994794311224455,
      0.09805373618372577,
      0.09664780587816098,
      0.09526136420199884,
      0.09389413896062793,
      0.09254586185264096,
      0.091216268350546,
      0.08990509781750804,
      0.0886120932683277,
      0.08733700142335472,
      0.08607957255244764,
      0.08483956047145491,
      0.0836167225126015,
      0.08241081948885239,
      0.08122161553322306,
      0.08004887806470029,
      0.07889237785465616,
      0.07775188896859912,
      0.0766271886463887,
      0.07551805724820809,
      0.07442427819242992,
      0.07334563802536447,
      0.0722819262733235,
      0.07123293538828829,
      0.07019846072943993,
      0.06917830062852798,
      0.06817225630069672,
      0.0671801316257173,
      0.06620173325747135,
      0.06523687059668215,
      0.06428535576476474,
      0.06334700343781702,
      0.06242163092867084,
      0.06150905805290321,
      0.06060910717925086,
      0.05972160323488651,
      0.058846373532961044,
      0.05798324780937531,
      0.057132058223866966,
      0.056292639300297154,
      0.05546482778657253,
      0.054648462793437734,
      0.05384338566205686,
      0.053049439897333114,
      0.05226647113771846,
      0.05149432731482615,
      0.05073285844267876,
      0.04998191660265183,
      0.04924135594274808,
      0.04851103263346942,
      0.0477908050130858,
      0.047080533139410054,
      0.04638007909585888,
      0.04568930693938516,
      0.045008082649691146,
      0.04433627400913928,
      0.043673750610473155,
      0.043020383985987704,
      0.04237604737826484,
      0.04174061569893931,
      0.04111396577653831,
      0.04049597600441626,
      0.03988652660520697,
      0.03928549932350144,
      0.03869277763021359,
      0.03810824655138994,
      0.037531792776912425,
      0.03696330462946692,
      0.03640267187694544,
      0.03584978581811534,
      0.035304539313497064,
      0.03476682674603445,
      0.03423654390801968,
      0.03371358799511502,
      0.033197857672950117,
      0.032689252973944496,
      0.03218767527931133,
      0.031693027478015154,
      0.031205213813000333,
      0.03072413973659168,
      0.030249712049868156,
      0.029781838866181624,
      0.029320429449225582,
      0.028865394456568574,
      0.02841664589871878,
      0.027974096890835416,
      0.027537661624710608,
      0.027107255567556887,
      0.026682795373145267,
      0.02626419883577308,
      0.02585138496965963,
      0.02544427376172952,
      0.025042786405998416,
      0.02464684516678903,
      0.024256373411968336,
      0.023871295465449437,
      0.023491536839111538,
      0.02311702409385268,
      0.022747684666745763,
      0.022383447051263508,
      0.02202424078445992,
      0.021669996311124748,
      0.021320645061173326,
      0.02097611937207872,
      0.02063635259911006,
      0.02030127908332833,
      0.019970833868982754,
      0.01964495300254308,
      0.019323573396638757,
      0.019006632907274276,
      0.018694070090356996,
      0.0183858248195882,
      0.018081840404391366,
      0.017782061427789042,
      0.01748643200273419,
      0.017194896183055107,
      0.0169073984056698,
      0.01662388336807705,
      0.016344296396848278,
      0.01606858337327789,
      0.01579669092207952,
      0.015528566112903111,
      0.015264156869905234,
      0.015003411697588542,
      0.014746279879862649,
      0.014492711459012608,
      0.01424265698907978,
      0.013996067742744221,
      0.013752895717338074,
      0.013513093612072742,
      0.013276614680682454,
      0.013043412980697224,
      0.012813442989532303,
      0.012586659967102624,
      0.012363019709805401,
      0.012142478612841727,
      0.011924993798101706,
      0.011710522869552258,
      0.011499024039743004,
      0.011290456073751686,
      0.011084778401182388,
      0.010881951007815832,
      0.010681934375704784,
      0.010484689548345296,
      0.010290178085991407,
      0.010098362100013194,
      0.009909204225262628,
      0.009722667587938568,
      0.00953871587076639,
      0.009357313323247664,
      0.0091784245768508,
      0.009002014836948522,
      0.008828049695480542,
      0.008656495237559228,
      0.00848731814397637,
      0.008320485388430552,
      0.008155964426109262,
      0.007993723314065894,
      0.007833730515952833,
      0.007675954854448875,
      0.007520365554481627,
      0.007366932364056096,
      0.007215625333786597,
      0.007066415042916049,
      0.0069192723755841104,
      0.006774168661129514,
      0.006631075676013923,
      0.006489965539405688,
      0.00635081073739042,
      0.006213584237592318,
      0.006078259319392479,
      0.0059448096791741125,
      0.005813209390584025,
      0.0056834327708355295,
      0.005555454509161194,
      0.00542924959270201,
      0.005304793532890208,
      0.005182062116525399,
      0.00506103145074023,
      0.004941677945666845,
      0.0048239783044144845,
      0.004707909679732571,
      0.0045934494697775176,
      0.004480575350424834,
      0.004369265276431964,
      0.004259497636954791,
      0.004151251113187139,
      0.004044504607452343,
      0.003939237281394919,
      0.003835428665042248,
      0.003733058518882192,
      0.0036321069710134246,
      0.0035325542926575404,
      0.0034343811133802716,
      0.003337568408670422,
      0.0032420971899418476,
      0.0031479489198073837,
      0.0030551052420035732,
      0.0029635481511073383,
      0.002873259762782354,
      0.002784222497974536,
      0.0026964190582440604,
      0.0026098324030698937,
      0.002524445587171049,
      0.0024402419038580176,
      0.002357204997633044,
      0.002275318596320484,
      0.002194566892546573,
      0.0021149342270894086,
      0.0020364051230400515,
      0.0019589641803157655,
      0.0018825963525454484,
      0.0018072867543147807,
      0.0017330206853486071,
      0.0016597837701580694,
      0.0015875617361045232,
      0.0015163404527647,
      0.0014461061373341759,
      0.0013768451223971688,
      0.0013085438721877657
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567121798524955,
      10.338016731476607,
      10.101617428567392,
      9.860790154672808,
      9.617884988718036,
      9.374956767167939,
      9.13377339442244,
      8.895783764834386,
      8.662158473549823,
      8.433790085072873,
      8.211294115400392,
      7.995023553965424,
      7.785094925042638,
      7.58142342454932,
      7.383762161473448,
      7.191740112734682,
      7.00489915242295,
      6.822726860359758,
      6.644693237552138,
      6.470276055468814,
      6.298973250432071,
      6.130325496049891,
      5.963934113034735,
      5.799463227140091,
      5.636647936499276,
      5.475298638893727,
      5.315298771631074,
      5.156608779294868,
      4.999261885582149,
      4.843364128022044,
      4.6890787369037135,
      4.536628042572308,
      4.386283911153479,
      4.2383636430944325,
      4.09323410177008,
      3.95130603822604,
      3.8129912785577385,
      3.6786843247750434,
      3.548751040717863,
      3.423518968886144,
      3.303269657228726,
      3.1882332320745905,
      3.0785852591552096,
      2.9744469583539774,
      2.875875189558524,
      2.782867724320921,
      2.695357796981226,
      2.613219633727548,
      2.5362919706712455,
      2.4643571893798977,
      2.397171189707975,
      2.334469543679558,
      2.27595629586978,
      2.221313479562523,
      2.1701871662629473,
      2.1221861727129823,
      2.076943925134491,
      2.0341232251559673,
      1.9934036966684767,
      1.9545007615589296,
      1.9171826357193744,
      1.8812685626140788,
      1.8466150172905056,
      1.8131027889191877,
      1.780627832901139,
      1.7491055345025595,
      1.718467367751308,
      1.688656650810169,
      1.6596255085917018,
      1.6313326948365885,
      1.6037398233703655,
      1.5768111305647101,
      1.5505153656738195,
      1.5248247930474654,
      1.4997144021123976,
      1.4751613438238589,
      1.4511445239291967,
      1.4276443067847377,
      1.4046422975550983,
      1.3821211774008142,
      1.3600651216078354,
      1.3384597415033472,
      1.3172916325382351,
      1.2965479890811737,
      1.2762162110088209,
      1.2562840026999131,
      1.2367394318914022,
      1.2175709625999873,
      1.1987674706432516,
      1.1803182469203988,
      1.1622129925262734,
      1.1444418102602616,
      1.1269954166484883,
      1.1098657405198518,
      1.0930452298960855,
      1.076526633767574,
      1.0603026399102804,
      1.0443659381701609,
      1.0287101211530727,
      1.013329727580783,
      0.9982190086471959,
      0.9833719884474021,
      0.9687826106208347,
      0.954444835406336,
      0.9403527015850471,
      0.9265003667662843,
      0.9128823970023322,
      0.8994949210665468,
      0.8863343146607802,
      0.8733964792495439,
      0.8606770517141225,
      0.8481715433952739,
      0.8358754309010383,
      0.8237842153812829,
      0.8118934608026448,
      0.8001988176930244,
      0.7886960374177914,
      0.7773809799409473,
      0.7662496174968602,
      0.7552980357475478,
      0.7445224324883989,
      0.733919115306507,
      0.7234844996143016,
      0.7132151050696165,
      0.7031075523822662,
      0.6931585594002587,
      0.6833649379337255,
      0.6737235906635162,
      0.6642315069697097,
      0.6548857373595833,
      0.6456833628882995,
      0.6366215579012456,
      0.6276975936146808,
      0.6189088278140394,
      0.6102525516019881,
      0.6017256148247838,
      0.5933250187001048,
      0.5850480332725916,
      0.5768921289322276,
      0.5688549295293976,
      0.5609341798671564,
      0.553127722479795,
      0.5454334818909972,
      0.5378494526564083,
      0.5303736911453723,
      0.5230043094741518,
      0.5157394708741464,
      0.5085773860622099,
      0.5015163104365519,
      0.4945545415929134,
      0.4876904173693239,
      0.4809223143220312,
      0.4742486460793804,
      0.46766786206177147,
      0.4611784463954574,
      0.4547789163134752,
      0.4484678214728577,
      0.44224374274253314,
      0.4361052914097781,
      0.4300511078921705,
      0.4240798610536367,
      0.41819024761985774,
      0.41238099116366,
      0.40665084112133093,
      0.40099857245360676,
      0.39542298470863024,
      0.38992290125316365,
      0.3844971687509814,
      0.37914465643371303,
      0.37386425552254854,
      0.3686548786765653,
      0.36351545924078127,
      0.3584448093778685,
      0.35344157945052607,
      0.34850451814275274,
      0.3436324782943,
      0.33882438962499817,
      0.33407923973957465,
      0.32939606124890386,
      0.32477395766821876,
      0.3202122754790538,
      0.3157104022736,
      0.31126766677583956,
      0.30688355618005014,
      0.30255800887338946,
      0.2982909357640188,
      0.2940819933554058,
      0.2899306728281272,
      0.2858363591296554,
      0.2817983707203013,
      0.2778159891274408,
      0.2738885454041674,
      0.27001540901834686,
      0.2661959069218437,
      0.2624294989713196,
      0.2587158769671302,
      0.25505462556061137,
      0.2514452135877501,
      0.2478870360050911,
      0.2443794421324616,
      0.24092175472409263,
      0.23751328248432058,
      0.23415332854452608,
      0.23084119609112835,
      0.22757619224941605,
      0.2243576302128118,
      0.22118483089879218,
      0.21805711798507052,
      0.2149737538670076,
      0.2119339885067187,
      0.20893711752792074,
      0.2059824703663338,
      0.20306940236360793,
      0.20019728934553724,
      0.19736552369777374,
      0.19457351212870105,
      0.19182067364867128,
      0.1891064385727642,
      0.18643024756470974,
      0.18379155074389159,
      0.181189807527613,
      0.17862448612640755,
      0.17609506321376348,
      0.17360102352647172,
      0.17114186005747356,
      0.16871707356904825,
      0.16632617257116103,
      0.16396867293738415,
      0.16164409800995846,
      0.1593519783429242,
      0.15709185156600786,
      0.15486326233015124,
      0.15266576213275104,
      0.15049890916072406,
      0.14836226825430027,
      0.1462554105961075,
      0.14417791399060373,
      0.1421293624499828,
      0.14010934611569326,
      0.138117461197802,
      0.13615330990618826,
      0.13421650032319388,
      0.13230664630656602,
      0.13042336742212432,
      0.1285662888937026,
      0.12673504127764462,
      0.12492926057319437,
      0.12314858813361998,
      0.12139267053021695,
      0.11966115954699247,
      0.11795371197551452,
      0.11626998965488493,
      0.11460965924741782,
      0.1129723923480691,
      0.11135786527894699,
      0.10976575892454932,
      0.10819575888713669,
      0.10664755535225226,
      0.10512084286767724,
      0.10361532039110317,
      0.10213069121252688,
      0.10066666290385667,
      0.09922294721930973,
      0.09779926003540777,
      0.09639532134298628,
      0.09501085504954723,
      0.09364558912607815,
      0.0922992555130393,
      0.09097158974761989,
      0.08966233113771578,
      0.08837122284709846,
      0.0870980116439441,
      0.08584244787243607,
      0.08460428548089684,
      0.08338328178295366,
      0.08217919759942026,
      0.08099179717394442,
      0.07982084814561428,
      0.07866612134246094,
      0.07752739095548862,
      0.07640443428264222,
      0.0752970317033803,
      0.0742049667499385,
      0.07312802600911467,
      0.072065999056912,
      0.07101867849959496,
      0.06998585985731987,
      0.06896734150272416,
      0.06796292461304931,
      0.06697241324404275,
      0.06599561410558222,
      0.06503233671641144,
      0.06408239323476905,
      0.06314559838482438,
      0.06222176956442371,
      0.061310726813094726,
      0.0604122925511928,
      0.059526291821204676,
      0.058652551950053006,
      0.05779090270019073,
      0.0569411764109644,
      0.056103207617974174,
      0.05527683312007294,
      0.05446189217536668,
      0.05365822619120145,
      0.05286567883573242,
      0.05208409579867178,
      0.05131332508106223,
      0.050553216810393965,
      0.04980362316571949,
      0.049064398316473704,
      0.04833539860133025,
      0.04761648235885498,
      0.04690750981984781,
      0.04620834312782026,
      0.04551884645559931,
      0.04483888582444785,
      0.04416832903499042,
      0.04350704583746055,
      0.04285490783225877,
      0.04221178834269745,
      0.041577562437643024,
      0.04095210689045576,
      0.04033530029773232,
      0.03972702287338497,
      0.03912715655187586,
      0.03853558490032199,
      0.03795219305619995,
      0.03737686769324238,
      0.036809497219062716,
      0.03624997147677047,
      0.03569818188501491,
      0.03515402131331592,
      0.03461738425915708,
      0.03408816648072297,
      0.03356626536959163,
      0.03305157961683045,
      0.03254400939027676,
      0.03204345629148763,
      0.031549823158916336,
      0.031063014286716838,
      0.030582935152688367,
      0.030109492621242285,
      0.029642595002893034,
      0.029182151724390575,
      0.028728073518755073,
      0.02828027236563896,
      0.027838661338306123,
      0.027403154785248234,
      0.026973668268888414,
      0.026550118553407432,
      0.026132423470033358,
      0.02572050213010745,
      0.025314274703797154,
      0.024913662368775458,
      0.024518587479003325,
      0.02412897347071268,
      0.02374474472179028,
      0.02336582683467263,
      0.022992146396054448,
      0.022623630950414378,
      0.022260209072415143,
      0.021901810309996064,
      0.021548365201236777,
      0.021199805218403128,
      0.020856062862367117,
      0.02051707152536919,
      0.02018276544651693,
      0.01985307987398802,
      0.01952795095767569,
      0.01920731572812152,
      0.018891112040618014,
      0.01857927865616948,
      0.018271755122282258,
      0.01796848439192072,
      0.01766941130267458,
      0.017374480147021608,
      0.017083635249368373,
      0.016796821148422996,
      0.0165139826788362,
      0.016235065263844554,
      0.01596001487306095,
      0.015688778116009546,
      0.015421302204475651,
      0.015157535108263592,
      0.01489742549103321,
      0.014640922674424661,
      0.01438797664940867,
      0.014138538058116375,
      0.013892558388525985,
      0.013649989631330359,
      0.01341078445449482,
      0.013174896221064634,
      0.012942279060677178,
      0.012712887479732662,
      0.01248667679382965,
      0.012263602945939714,
      0.012043622257367596,
      0.011826691873499958,
      0.011612769500183133,
      0.011401813409558056,
      0.011193782600940737,
      0.01098863647434929,
      0.010786334976861545,
      0.010586838648916786,
      0.010390108596659911,
      0.010196106466598815,
      0.010004794327060407,
      0.009816134837368776,
      0.009630091368390676,
      0.009446627623651354,
      0.009265707846626522,
      0.009087296737787375,
      0.008911359506910663,
      0.008737861787397678,
      0.008566769819620514,
      0.008398050203809723,
      0.008231670023423787,
      0.008067596887856179,
      0.007905798811644698,
      0.007746244273379027,
      0.007588902098420513,
      0.0074337415718853436,
      0.00728073252171775,
      0.0071298451430168485,
      0.006981049963716368,
      0.006834317951613587,
      0.006689620489365073,
      0.006546929351341913,
      0.006406216739205858,
      0.00626745516632545,
      0.006130617566304201,
      0.005995677326561076,
      0.005862608190303304,
      0.005731384178999016,
      0.005601979706573702,
      0.005474369529865109,
      0.005348528789621847,
      0.005224432944593826,
      0.0051020577325237735,
      0.004981379392993094,
      0.0048623743196638345,
      0.004745019260274283,
      0.004629291460723625,
      0.004515168321157257,
      0.0044026276002243694,
      0.0042916472638443205,
      0.0041822057423380405,
      0.004074281724852371,
      0.003967854222073847,
      0.00386290243297809,
      0.0037594058475178584,
      0.003657344331614169,
      0.003556697946317014,
      0.003457447053979499,
      0.0033595723238950058,
      0.003263054713659525,
      0.003167875432635369,
      0.003074015925367963,
      0.0029814577795482648,
      0.0028901830165887323,
      0.0028001738300857653,
      0.00271141261758648,
      0.0026238822107266272,
      0.002537565451233939,
      0.002452445594709577,
      0.0023685059773856806,
      0.0022857301926700723,
      0.0022041021029346013,
      0.002123605807960405,
      0.002044225671676718,
      0.00196594619073677,
      0.0018887521817304263,
      0.0018126285817001914,
      0.001737560408098453,
      0.0016635331134117388,
      0.0015905322607720912,
      0.0015185435881881289,
      0.0014475530672042056,
      0.0013775468604721134,
      0.0013085113818604574,
      0.001240433103222277
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567114072968167,
      10.337990969290946,
      10.10156573550817,
      9.860707263961038,
      9.617767356888116,
      9.374801897663762,
      9.133579861138006,
      8.895551210653824,
      8.661887054260355,
      8.43348028176444,
      8.21094656392386,
      7.99463891416415,
      7.784673786261085,
      7.580966247900816,
      7.383269247268767,
      7.191211595690743,
      7.004334952287986,
      6.822126687872897,
      6.644056813077569,
      6.469603246437622,
      6.298264069378476,
      6.129580211061584,
      5.963153261467725,
      5.798647631358523,
      5.635798718922478,
      5.474417267455445,
      5.314387110721298,
      5.155669153998292,
      4.998297080903858,
      4.842377284880583,
      4.688073268332513,
      4.535607866316452,
      4.385253478547307,
      4.2373277288187605,
      4.092198285041699,
      3.9502761719593322,
      3.811973012130621,
      3.6776830044624624,
      3.54777161730665,
      3.422565917625239,
      3.3023469128500373,
      3.1873442124419946,
      3.0777327171486295,
      2.9736329923995304,
      2.87510109811571,
      2.782133843118779,
      2.6946634221667587,
      2.612563532318919,
      2.5356722009381034,
      2.4637710938185347,
      2.396616141654358,
      2.333942635166472,
      2.2754542881744078,
      2.2208330353053807,
      2.1697243793336187,
      2.121737149671182,
      2.0765052157312667,
      2.0336914939194197,
      1.9929760677416073,
      1.9540749531495227,
      1.9167569668064226,
      1.8808418016520854,
      1.8461862259038873,
      1.812671133360641,
      1.78019267627909,
      1.7486664493550492,
      1.7180240773143984,
      1.688208986060613,
      1.6591733778120759,
      1.630876060737044,
      1.6032787106995094,
      1.576345594602758,
      1.550045472086295,
      1.5243506141989083,
      1.4992360153481186,
      1.4746788292286348,
      1.4506579624270777,
      1.4271537801042478,
      1.4041478872093995,
      1.3816229648170995,
      1.3595632090887624,
      1.3379542477976605,
      1.3167826903449302,
      1.2960357122765076,
      1.275700700091905,
      1.2557653486716427,
      1.236217718667785,
      1.2170462690259618,
      1.1982398718517209,
      1.1797878149847048,
      1.1616797973710582,
      1.1439059199653618,
      1.1264569139298901,
      1.1093247294818922,
      1.0925018147372472,
      1.075980911085422,
      1.0597546943597624,
      1.0438158462957046,
      1.0281581185153472,
      1.0127760622024569,
      0.9976638655590786,
      0.9828155094483483,
      0.9682249077017264,
      0.9538860000456487,
      0.9397928114051787,
      0.9259394895612513,
      0.9123207273375131,
      0.8989328369038876,
      0.8857720796051743,
      0.8728342806092542,
      0.8601150257432165,
      0.8476097914579976,
      0.8353140305597805,
      0.8232232284661313,
      0.8113329383778388,
      0.7996388033061089,
      0.7881365695032436,
      0.776822093434626,
      0.7656913450474595,
      0.7547404082226837,
      0.7439654795652577,
      0.7333628659204654,
      0.7229289817823465,
      0.7126603463870963,
      0.7025535797183095,
      0.6926053993176268,
      0.682812616664864,
      0.6731721337945967,
      0.6636809399776599,
      0.6543360835436192,
      0.6451346450757753,
      0.6360737992513411,
      0.6271508172177856,
      0.6183630569434029,
      0.6097078284706013,
      0.601182008450252,
      0.5927825827569748,
      0.5845068108405617,
      0.5763521561296008,
      0.5683162374373815,
      0.5603967960743866,
      0.5525916722518371,
      0.5448987885109129,
      0.5373161381331806,
      0.5298417764023347,
      0.5224738145777662,
      0.5152104152534813,
      0.5080497886176245,
      0.5009901896402925,
      0.4940299153278095,
      0.4871673031918545,
      0.48040072941289746,
      0.473728607187039,
      0.46714938559176,
      0.4606615481619783,
      0.45426361189450276,
      0.44795412604975504,
      0.4417316710101682,
      0.4355948577084393,
      0.4295423263082515,
      0.4235727454128067,
      0.41768481129653107,
      0.41187724708820644,
      0.4061488019591275,
      0.4004982503718586,
      0.39492439144245406,
      0.38942604811535525,
      0.3840020668652919,
      0.3786513164799165,
      0.37337268795990053,
      0.36816509353001453,
      0.36302746613666353,
      0.3579585981874911,
      0.3529571377263783,
      0.34802184049576834,
      0.34315156386525664,
      0.33834524063772564,
      0.3336018607235846,
      0.32892045786050705,
      0.32430019480442845,
      0.31974047047683096,
      0.31524067184312526,
      0.3108001521957325,
      0.30641847294595786,
      0.30209561514783173,
      0.2978313992070341,
      0.29362542125859026,
      0.28947713199161684,
      0.28538588923911695,
      0.28135099306601574,
      0.27737171537922245,
      0.2734473943636844,
      0.26957739353590504,
      0.26576102997912343,
      0.26199778966607806,
      0.2582873625761365,
      0.2546293179684262,
      0.25102311424603635,
      0.24746813934949183,
      0.2439637378898386,
      0.2405092294362478,
      0.2371039205215429,
      0.23374711285421984,
      0.23043810881209037,
      0.22717621472285512,
      0.22396074337027605,
      0.22079101543036522,
      0.21766634929123216,
      0.21458599998412362,
      0.21154922177453372,
      0.20855531322784854,
      0.2056036057145629,
      0.20269345586620144,
      0.1998242402841379,
      0.1969953521003101,
      0.19420619843610717,
      0.1914561986620089,
      0.18874478315843943,
      0.18607139267693468,
      0.18343547767542537,
      0.18083649762599766,
      0.17827392077692875,
      0.17574722380830038,
      0.17325589162254834,
      0.1707994173268402,
      0.16837730170786216,
      0.16598905325354413,
      0.16363418780604633,
      0.16131222876826326,
      0.15902270675683516,
      0.15676515942081953,
      0.15453913152049406,
      0.15234417452932641,
      0.15017984669925313,
      0.14804571284548307,
      0.1459413443085491,
      0.1438663188964801,
      0.14182022066749952,
      0.13980263974911672,
      0.1378131725758124,
      0.13585142135639477,
      0.13391699418136757,
      0.1320095050208519,
      0.1301285733770569,
      0.12827382440535798,
      0.12644488896351302,
      0.12464140304198264,
      0.12286300811996126,
      0.12110935075573667,
      0.11938008273372806,
      0.11767486090360782,
      0.11599334723895827,
      0.11433520853046736,
      0.11270011631097203,
      0.1110877469358192,
      0.10949778155133187,
      0.10792990574844696,
      0.1063838097013465,
      0.104859188047944,
      0.1033557398548625,
      0.10187316848258,
      0.1004111816116545,
      0.09896949098412118,
      0.09754781265491616,
      0.09614586661521198,
      0.09476337690657521,
      0.0934000715197643,
      0.09205568237704044,
      0.09072994519449219,
      0.08942259937640919,
      0.08813338813261638,
      0.08686205833527644,
      0.08560836040140059,
      0.08437204827668947,
      0.08315287945740643,
      0.08195061485264772,
      0.08076501882769378,
      0.07959585896360959,
      0.07844290624189061,
      0.07730593487522026,
      0.07618472224544408,
      0.07507904874464072,
      0.07398869805971954,
      0.0729134569184947,
      0.07185311501219405,
      0.07080746503375854,
      0.0697763025679523,
      0.06875942602684543,
      0.06775663667233099,
      0.06676773861349672,
      0.06579253867808038,
      0.06483084647503169,
      0.06388247421286788,
      0.06294723678851476,
      0.06202495167291869,
      0.06111543894907991,
      0.060218521153455724,
      0.059334023361374555,
      0.05846177307229771,
      0.057601600208929744,
      0.056753337090156314,
      0.055916818311535124,
      0.055091880812197,
      0.05427836383923812,
      0.05347610887934712,
      0.05268495971967529,
      0.051904762237708235,
      0.05113536451999056,
      0.05037661670288983,
      0.049628371079057036,
      0.048890481925215175,
      0.048162805551048675,
      0.04744520036196723,
      0.04673752675797993,
      0.04603964695743939,
      0.04535142521271756,
      0.04467272768355583,
      0.044003422285935005,
      0.04334337878312382,
      0.04269246883565799,
      0.04205056593491312,
      0.041417545187602704,
      0.04079328353290675,
      0.0401776595367517,
      0.03957055359037237,
      0.0389718475937175,
      0.03838142519225954,
      0.03779917167984582,
      0.03722497385072615,
      0.036658720051259426,
      0.03610030031398566,
      0.03554960611014931,
      0.035006530527633944,
      0.034470967974540814,
      0.03394281440683378,
      0.033421967211489115,
      0.032908325242018914,
      0.03240178870025471,
      0.03190225919513657,
      0.03140963980384588,
      0.030923834868203482,
      0.03044474998046379,
      0.02997229207246802,
      0.02950636936692368,
      0.02904689140041931,
      0.028593769029354846,
      0.02814691426258036,
      0.02770624024853119,
      0.027271661520681216,
      0.026843093746128917,
      0.0264204536691652,
      0.026003659256562426,
      0.02559262961846309,
      0.025187284958879508,
      0.024787546645495158,
      0.024393337009852013,
      0.024004579603416766,
      0.0236211990000094,
      0.023243120774162872,
      0.022870271553357642,
      0.02250257900431808,
      0.022139971759834197,
      0.02178237945721421,
      0.021429732679156814,
      0.021081963012789612,
      0.020739002927999503,
      0.020400785926280106,
      0.02006724642044485,
      0.019738319693935157,
      0.019413941946216116,
      0.019094050220984156,
      0.018778582394935708,
      0.018467477347800288,
      0.018160674754584553,
      0.017858116954434858,
      0.01755974896038298,
      0.017265515298606073,
      0.016975360510211934,
      0.016689229188145194,
      0.016407066415344403,
      0.016128817612833968,
      0.015854428822111834,
      0.015583846798913252,
      0.015317018931672387,
      0.015053893187997913,
      0.014794418273074096,
      0.014538543555883954,
      0.014286219074262214,
      0.014037395568024911,
      0.013792024463818926,
      0.013550057907259749,
      0.01331144865799902,
      0.01307615018449361,
      0.012844116557641871,
      0.012615302461680876,
      0.012389663137130788,
      0.012167154491690625,
      0.011947733143339018,
      0.011731356231317441,
      0.011517981502266707,
      0.011307567252727318,
      0.011100072470874238,
      0.010895456624730763,
      0.010693679832308234,
      0.01049470266308231,
      0.010298486275863173,
      0.010104992354714279,
      0.00991418306671122,
      0.00972602125079188,
      0.009540470163613136,
      0.00935749353908006,
      0.009177055649488506,
      0.008999121254508854,
      0.008823655590167793,
      0.00865062444859575,
      0.008479993967410596,
      0.008311730923354965,
      0.008145802499851057,
      0.007982176190112844,
      0.00782082019754411,
      0.0076617029421201886,
      0.0075047933052649505,
      0.007350060654064412,
      0.007197474841948962,
      0.00704700608400715,
      0.006898624986423431,
      0.0067523025456535475,
      0.006608010231773381,
      0.006465719927259315,
      0.006325403842264301,
      0.006187034564518025,
      0.0060505850279788855,
      0.005916028737526703,
      0.005783339423257684,
      0.0056524910326749955,
      0.005523457991057351,
      0.0053962151583823986,
      0.005270737736922077,
      0.005147001288531806,
      0.005024981581357834,
      0.0049046548128936236,
      0.004785997535550957,
      0.004668986526429955,
      0.004553598995242774,
      0.004439812386715187,
      0.00432760443191513,
      0.0042169532517166725,
      0.004107837245340188,
      0.004000235164843932,
      0.0038941260188891506,
      0.003789489034767699,
      0.0036863037933041565,
      0.003584550174027376,
      0.003484208288877465,
      0.003385258531475442,
      0.0032876816529084077,
      0.0031914585522369783,
      0.0030965705263534433,
      0.0030029989544892366,
      0.002910725543353771,
      0.0028197323254727878,
      0.0027300015059878264,
      0.0026415156783775075,
      0.002554257502133864,
      0.0024682099845472687,
      0.0023833564012539386,
      0.002299680116088517,
      0.0022171647892930794,
      0.0021357942816240608,
      0.002055552648085126,
      0.0019764242665085492,
      0.00189839380127835,
      0.0018214460288571456,
      0.001745565835126972,
      0.0016707384234585533,
      0.0015969491291506748,
      0.001524183622818017,
      0.0014524277076614388,
      0.0013816673402589472,
      0.0013118886898682977,
      0.001243078173193288,
      0.0011752223437788325
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567106368771068,
      10.337965275009841,
      10.101514173717263,
      9.86062457803381,
      9.617650012568493,
      9.374647407902813,
      9.133386809390492,
      8.8953192498119,
      8.66161634398639,
      8.433171308964834,
      8.2105999689318,
      7.9942553605822395,
      7.784253864163748,
      7.580510420598928,
      7.3827778178116885,
      7.1906847020746225,
      7.0037725174005745,
      6.821528423475973,
      6.64342244131905,
      6.468932638080216,
      6.297557241008289,
      6.1288374340276235,
      5.9623750765523065,
      5.797834864464735,
      5.634952497476358,
      5.473539063524232,
      5.313478789828716,
      5.154733040818646,
      4.997335958045136,
      4.841394288995622,
      4.68707180696876,
      4.5345918495743165,
      4.3842273455527225,
      4.236296240341496,
      4.091167002046389,
      3.949250925997019,
      3.8109594305648904,
      3.6766864114312385,
      3.5467969408303213,
      3.421617610743384,
      3.301428905124733,
      3.1864599306759076,
      3.0768848899284347,
      2.9728236959258227,
      2.874331611968882,
      2.78140448810224,
      2.6939734839939455,
      2.611911770355074,
      2.5350566682875155,
      2.4631891292433306,
      2.396065116747813,
      2.333419641976159,
      2.27495609086466,
      2.2203563014823655,
      2.16926521065341,
      2.121291661408553,
      2.076069966136722,
      2.0332631556442644,
      1.992551772355399,
      1.9536524263510409,
      1.9163345342064333,
      1.880418236981168,
      1.8457605955135008,
      1.8122426073485576,
      1.7797606214808284,
      1.748230441718351,
      1.7175838424368624,
      1.6877643570298857,
      1.6587242640955195,
      1.6304224261043685,
      1.602820581991524,
      1.575883028280597,
      1.5495785349903843,
      1.5238793801583412,
      1.498760562385366,
      1.4741992378692543,
      1.4501743151647941,
      1.426666159781932,
      1.4036563763994288,
      1.381127645536926,
      1.3590641844174782,
      1.3374516375933336,
      1.3162766273700859,
      1.2955263107926418,
      1.2751880611981705,
      1.2552495635685073,
      1.2356988717770996,
      1.2165244401021864,
      1.197715136421276,
      1.1792602457571413,
      1.1611494646374918,
      1.1433728922036532,
      1.1259212740275515,
      1.1087865816371625,
      1.0919612631607225,
      1.075438051995776,
      1.059209613011582,
      1.0432686559038686,
      1.0276090726766174,
      1.0122253905128686,
      0.997111740196546,
      0.9822620638372115,
      0.9676702485441704,
      0.9533302153823324,
      0.9392359763456963,
      0.925381670456421,
      0.9117621948630876,
      0.898373940718293,
      0.8852130654125712,
      0.8722753240393234,
      0.8595562548167962,
      0.8470513022209605,
      0.8347558973404713,
      0.8226655104583311,
      0.8107756846999759,
      0.7990820563434811,
      0.7875803671528337,
      0.776266470257298,
      0.7651363335264704,
      0.7541860390877726,
      0.7434117825078667,
      0.7328098698098049,
      0.7223767148938031,
      0.7121088363369372,
      0.7020028537671987,
      0.692055484331483,
      0.6822635391906062,
      0.6726239198448676,
      0.6631336153378758,
      0.6537896714989104,
      0.6445891682416681,
      0.6355292808071978,
      0.6266072805297849,
      0.6178205254078645,
      0.6091663444730557,
      0.6006416416867155,
      0.592243387120142,
      0.5839688300321194,
      0.5758154265816281,
      0.5677807906943797,
      0.5598626600832075,
      0.5520588722510716,
      0.5443673478785768,
      0.5367860787122762,
      0.5293131191707755,
      0.5219465798253675,
      0.5146846226478876,
      0.5075254572108556,
      0.5004673376888665,
      0.4935085607909343,
      0.4866474636626965,
      0.4798824220427013,
      0.47321184875485933,
      0.4666341924396936,
      0.46014793627639794,
      0.45375159685342137,
      0.44744372301428115,
      0.44122289481150995,
      0.43508772272509605,
      0.4290368465401646,
      0.4230689345241539,
      0.41718268270396913,
      0.41137681378860175,
      0.40565007653011725,
      0.4000012450172893,
      0.39442911798158053,
      0.3889325181701454,
      0.38351029145774546,
      0.3781613063614852,
      0.3728844533252604,
      0.36767864431056724,
      0.3625428121621947,
      0.3574757295503147,
      0.3524760423189527,
      0.34754251313428575,
      0.34267400405356707,
      0.3378694510069005,
      0.3331278457082216,
      0.32844822330789325,
      0.32382983631546647,
      0.3192720959642829,
      0.314774365016944,
      0.31033598986284655,
      0.3059566716643402,
      0.30163642369885246,
      0.2973750096749516,
      0.29317196042622096,
      0.2890266796016611,
      0.28493849351730677,
      0.28090668104906663,
      0.27693050986197887,
      0.27300932012707724,
      0.2691424614980952,
      0.26532924169092326,
      0.26156917320061857,
      0.2578619446005661,
      0.2542071098643206,
      0.2506041170667724,
      0.24705234718435443,
      0.2435511401691728,
      0.24009981249184056,
      0.23669766862437752,
      0.2333440088860883,
      0.23003813465022602,
      0.22677935166956867,
      0.22356697236202216,
      0.22040031711655617,
      0.2172786989220754,
      0.2142013655768334,
      0.21116757565323158,
      0.20817663061069785,
      0.20522786370612456,
      0.20232063286277555,
      0.1994543156749651,
      0.19662830588210817,
      0.19384201101959736,
      0.1910948507799931,
      0.18838625586363164,
      0.1857156670720809,
      0.18308253497340907,
      0.1804863190692502,
      0.17792648769586747,
      0.17540251762824086,
      0.17291389379337915,
      0.17046010929022182,
      0.1680406649587062,
      0.16565506927995743,
      0.1633028383020709,
      0.1609834954453968,
      0.15869657129517434,
      0.15644160365455637,
      0.15421813717782787,
      0.15202572351826918,
      0.14986392093553935,
      0.1477322943468903,
      0.1456304151236762,
      0.14355786100755105,
      0.14151421608924405,
      0.13949907067198952,
      0.13751202115307717,
      0.1355526697128772,
      0.13362062463193405,
      0.13171549982409134,
      0.129836914972321,
      0.12798449531896597,
      0.12615787161928085,
      0.12435668006741879,
      0.12258056201633175,
      0.12082916424816409,
      0.11910213870813666,
      0.11739914223576929,
      0.11571983673112281,
      0.1140638890129838,
      0.1124309708136346,
      0.11082075859858673,
      0.10923293342732433,
      0.10766718101318395,
      0.10612319155687681,
      0.10460065979852208,
      0.10309928494456569,
      0.10161877041887239,
      0.10015882397133943,
      0.09871915753400255,
      0.09729948714210436,
      0.09589953284345588,
      0.09451901878068106,
      0.09315767302655,
      0.09181522749650238,
      0.09049141798876903,
      0.08918598397726708,
      0.08789866868431521,
      0.08662921905193569,
      0.08537738565294781,
      0.0841429226370834,
      0.08292558751180049,
      0.08172514125906652,
      0.08054134826100068,
      0.07937397622784044,
      0.07822279629077208,
      0.07708758269020864,
      0.07596811288207005,
      0.07486416745555058,
      0.07377553012242605,
      0.072701987574471,
      0.07164332954883984,
      0.07059934891100758,
      0.0695698412845009,
      0.06855460526013304,
      0.0675534421930389,
      0.06656615623244179,
      0.0655925543774825,
      0.06463244627000767,
      0.06368564415928288,
      0.06275196300690189,
      0.06183122041696419,
      0.06092323655063278,
      0.06002783399304323,
      0.05914483786776632,
      0.058274075788581896,
      0.05741537780511638,
      0.056568576233213035,
      0.05573350583406471,
      0.05491000364020287,
      0.05409790905360541,
      0.05329706369520325,
      0.05250731128200474,
      0.05172849779794595,
      0.05096047140643514,
      0.05020308239309487,
      0.04945618303417207,
      0.0487196277488645,
      0.04799327301492,
      0.04727697722837905,
      0.0465706008763268,
      0.0458740063318184,
      0.04518705797812865,
      0.044509621971304966,
      0.04384156627339832,
      0.04318276091210287,
      0.04253307746575787,
      0.04189238945463319,
      0.04126057218576121,
      0.04063750271003372,
      0.0400230597314858,
      0.039417123602620695,
      0.03881957629434876,
      0.03823030155629418,
      0.037649184740656386,
      0.03707611279110969,
      0.036510974253838036,
      0.03595365905929369,
      0.035404058872326095,
      0.03486206672345796,
      0.034327577196215875,
      0.03380048629241439,
      0.033280691484346356,
      0.032768091667649685,
      0.03226258711005294,
      0.0317640796315611,
      0.03127247225582403,
      0.030787669540813294,
      0.0303095771327412,
      0.029838101931840062,
      0.029373152352081374,
      0.028914638036248972,
      0.028462469830516895,
      0.028016559830354962,
      0.027576821323077715,
      0.027143168811579976,
      0.026715518093191386,
      0.026293786076829438,
      0.02587789075713232,
      0.02546775133237158,
      0.025063288066673864,
      0.024664422359562708,
      0.024271076673959415,
      0.023883174537923577,
      0.023500640627044513,
      0.023123400647823034,
      0.022751381256769065,
      0.02238451014859036,
      0.02202271605297634,
      0.02166592871004981,
      0.02131407884812736,
      0.020967098071451914,
      0.020624918902385603,
      0.020287474882998015,
      0.019954700511835587,
      0.01962653112111714,
      0.019302902915928937,
      0.018983753080439567,
      0.018669019640056416,
      0.018358641441211583,
      0.01805255824894413,
      0.01775071202414518,
      0.017453047689301414,
      0.017159510062382286,
      0.016870043876561477,
      0.016584593925792108,
      0.01630310540852519,
      0.016025523858895056,
      0.015751795423347863,
      0.015481866776364489,
      0.015215685420523267,
      0.014953199474181608,
      0.014694357690783021,
      0.01443910942330799,
      0.014187404902774836,
      0.013939194928554815,
      0.013694431044431216,
      0.013453065342190032,
      0.01321505069355328,
      0.012980340558919444,
      0.012748889123212525,
      0.012520650994996448,
      0.01229558162656289,
      0.012073636999195086,
      0.011854773724059152,
      0.011638949088313089,
      0.011426120881119994,
      0.011216247463582617,
      0.011009287751565953,
      0.010805201328251489,
      0.010603948380691001,
      0.010405489524721194,
      0.010209785885933806,
      0.010016799163229005,
      0.009826491720393132,
      0.009638826400183558,
      0.009453766384927363,
      0.0092712755292482,
      0.009091318199007764,
      0.008913859322422684,
      0.00873886416972389,
      0.008566298439551291,
      0.00839612847426841,
      0.008228320987748648,
      0.008062843176583675,
      0.007899662712443115,
      0.007738747563921454,
      0.007580066430989221,
      0.007423588259233317,
      0.007269282480831305,
      0.007117118900881048,
      0.006967067839650724,
      0.00681909992711632,
      0.006673186254905097,
      0.006529298307242263,
      0.0063874079317294535,
      0.00624748740712113,
      0.0061095094107564505,
      0.00597344692399662,
      0.005839273361698419,
      0.005706962563159776,
      0.005576488625805165,
      0.005447826038971195,
      0.005320949609237893,
      0.005195834514145997,
      0.005072456319274164,
      0.004950790952277307,
      0.004830814703876315,
      0.0047125041220389555,
      0.0045958360854030655,
      0.004480787667843078,
      0.0043673364557694425,
      0.004255460218243691,
      0.004145137099715455,
      0.004036345604045077,
      0.00392906451045995,
      0.0038232727073048626,
      0.003718949535432841,
      0.0036160746943109828,
      0.0035146280924816054,
      0.0034145898512794744,
      0.003315940366795474,
      0.003218660341091692,
      0.003122730820889534,
      0.0030281330341722316,
      0.0029348485137234595,
      0.002842859075350962,
      0.002752146651521452,
      0.002662693576241337,
      0.0025744823565888495,
      0.0024874957314363535,
      0.0024017167181197992,
      0.0023171285204243923,
      0.002233714678942998,
      0.0021514588283025973,
      0.0020703449127582657,
      0.00199035705975855,
      0.0019114797336704423,
      0.0018336973758737085,
      0.0017569947890363632,
      0.001681357013828028,
      0.0016067693782683215,
      0.0015332172047824247,
      0.0014606861280271337,
      0.0013891619746715731,
      0.0013186307460333658,
      0.0012490786968216768,
      0.0011804921536130108,
      0.0011128578114029393
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567098684204273,
      10.337939648738027,
      10.101462749454562,
      9.860542090186858,
      9.617532915964606,
      9.374493227542679,
      9.133194142274803,
      8.895087762072878,
      8.66134620615032,
      8.432863016405017,
      8.210254167243042,
      7.993872718825166,
      7.78383497939597,
      7.580055761871721,
      7.382287692178245,
      7.1901592502926395,
      7.003211663873192,
      6.820931880556953,
      6.642789932266807,
      6.46826403576641,
      6.29685256618986,
      6.12809696226517,
      5.961599351980712,
      5.7970247163131186,
      5.634109052759506,
      5.472663794485912,
      5.312573562070758,
      5.153800178540816,
      4.996378242565952,
      4.840414854194517,
      4.68607405553543,
      4.5335796834403,
      4.3832051936327305,
      4.235268850763364,
      4.090139918772972,
      3.9482299622706694,
      3.809950195557595,
      3.675694210179303,
      3.545826682026711,
      3.4206737277019617,
      3.30051532281663,
      3.185580092151086,
      3.076041519257077,
      2.9720188456538037,
      2.8735665389378355,
      2.7806794949588807,
      2.693287843074176,
      2.611264229710034,
      2.5344452727119307,
      2.462611211765453,
      2.395518045839437,
      2.3329005088738533,
      2.27446166104548,
      2.219883245471378,
      2.1688096344545698,
      2.120849687107776,
      2.07563815927158,
      2.0328381972151384,
      1.9921308012947267,
      1.9532331742764018,
      1.9159153313766144,
      1.8799978610278267,
      1.8453381165983913,
      1.8118171989312768,
      1.7793316529298835,
      1.7477974915545853,
      1.7171466390554282,
      1.6873227359129552,
      1.6582781369407589,
      1.6299717588862077,
      1.602365402699981,
      1.575423394984909,
      1.5491145156718278,
      1.523411049920037,
      1.4982880005460073,
      1.473722526060731,
      1.4496935361786691,
      1.4261813969089674,
      1.4031677127004336,
      1.3806351635002718,
      1.3585679877213144,
      1.3369518467143857,
      1.315773375753998,
      1.2950197131376668,
      1.2746782186862036,
      1.2547365680891784,
      1.2351828083310707,
      1.2160053885507733,
      1.197193172836473,
      1.1787354432179526,
      1.160621893979336,
      1.1428426223146926,
      1.1253884020600613,
      1.1082512070569894,
      1.0914234875568447,
      1.074897970252581,
      1.058667308702204,
      1.0427242899010898,
      1.0270629218173808,
      1.0116776592446428,
      0.9965625843416988,
      0.9817116052563076,
      0.9671185862768552,
      0.9527774322650949,
      0.9386821442191936,
      0.9248268534112903,
      0.9112067068968979,
      0.8978181145850994,
      0.8846571358167504,
      0.8717194590358097,
      0.8590005777982623,
      0.8464959060106103,
      0.8342008540322277,
      0.8221108784995803,
      0.8102215127238961,
      0.7985283867110766,
      0.787027237736283,
      0.7757139156910166,
      0.7645843861318682,
      0.753634729779608,
      0.7428611409978187,
      0.7322599250747208,
      0.7218274954268926,
      0.7115603699025435,
      0.7014551676513998,
      0.6915086054019963,
      0.6817174938177682,
      0.6720787342178776,
      0.6625893152103152,
      0.6532462804220919,
      0.64404670949607,
      0.6349877778976796,
      0.6260667572913639,
      0.6172810056704696,
      0.6086278710962213,
      0.6001042849828078,
      0.5917072019697209,
      0.5834338603782213,
      0.5752817088089434,
      0.5672483561364262,
      0.5593315366152414,
      0.5515290852287711,
      0.5438389207556302,
      0.5362590337979741,
      0.5287874777908897,
      0.5214223623715455,
      0.5141618486937398,
      0.5070041457461929,
      0.49994750734519955,
      0.4929902296018639,
      0.48613064922327226,
      0.47936714145801307,
      0.4726981187591623,
      0.46612202935631075,
      0.4596373560466083,
      0.4532426150843601,
      0.446936354893569,
      0.44071715519302274,
      0.43458362603072886,
      0.4285344067823796,
      0.42256816539907466,
      0.41668359742374045,
      0.4108794252388988,
      0.4051543972946515,
      0.39950728734619445,
      0.39393689370365487,
      0.3884420387011613,
      0.3830215679561927,
      0.3776743495740529,
      0.37239927370724396,
      0.36719525193774083,
      0.36206121666339425,
      0.3569959215129547,
      0.3519980101920714,
      0.34706625203531316,
      0.34219951372395224,
      0.33739673412408294,
      0.3326569068674648,
      0.3279791042727975,
      0.3233626502794093,
      0.31880693424750656,
      0.3143112995545103,
      0.30987508767406147,
      0.305498132076516,
      0.30118043063338,
      0.2969217031283657,
      0.2927214786813982,
      0.28857913674548913,
      0.28449396148310313,
      0.2804652027452486,
      0.27649211859473904,
      0.27257404766109605,
      0.2687103232125747,
      0.26490024229984926,
      0.2611433427936946,
      0.25743931093828964,
      0.25378768512537975,
      0.2501879028970237,
      0.24663933806272748,
      0.24314132582854142,
      0.23969317944207819,
      0.23629420121582695,
      0.23294369013376892,
      0.22964094655475467,
      0.22638527549416781,
      0.22317598895587865,
      0.22001240705648373,
      0.21689383751429517,
      0.21381952080670513,
      0.21078871986476094,
      0.20780073900430313,
      0.20485491344521034,
      0.20195060238982826,
      0.1990871843872461,
      0.19626405373322273,
      0.19348061831278338,
      0.19073629813958468,
      0.18803052412992718,
      0.18536273729770042,
      0.1827323882540312,
      0.18013893656427865,
      0.1775818506988478,
      0.17506060750964186,
      0.17257469201926293,
      0.17012359726180212,
      0.1677068241244134,
      0.16532388123415212,
      0.16297428470523967,
      0.16065755793742253,
      0.15837323164932138,
      0.156120843517808,
      0.1538999382680341,
      0.1517100675218084,
      0.1495507896903099,
      0.147421669751787,
      0.14532227903489153,
      0.14325219542028111,
      0.14121100303950343,
      0.13919829227783137,
      0.13721365953480646,
      0.1352567071416126,
      0.13332704330287443,
      0.1314242821254915,
      0.12954804327082423,
      0.12769795205633605,
      0.12587363926264977,
      0.1240747410462653,
      0.1223008989771291,
      0.12055175980039172,
      0.11882697540537276,
      0.11712620282945807,
      0.11544910410044487,
      0.11379534617755782,
      0.1121646008381586,
      0.11055654449748999,
      0.10897085828504569,
      0.10740722802804706,
      0.10586534405353296,
      0.10434490112581783,
      0.10284559844330014,
      0.1013671395483,
      0.09990923226426945,
      0.0984715885134297,
      0.0970539244286104,
      0.09565596013541355,
      0.09427741987924226,
      0.09291803186712223,
      0.09157752816143568,
      0.09025564455491702,
      0.08895212058601328,
      0.0876666996690787,
      0.0863991287733493,
      0.08514915852818243,
      0.08391654301976931,
      0.08270103991811611,
      0.08150241035252326,
      0.08032041878682376,
      0.07915483299854409,
      0.07800542407629031,
      0.07687196639395907,
      0.07575423753624051,
      0.0746520181593508,
      0.07356509204415303,
      0.07249324601739368,
      0.07143627003344175,
      0.07039395690158666,
      0.06936610226538602,
      0.06835250477689028,
      0.06735296595109506,
      0.06636729009764424,
      0.06539528423404434,
      0.06443675803413856,
      0.0634915239267734,
      0.06255939694020099,
      0.06164019471844739,
      0.06073373749327828,
      0.05983984793844548,
      0.05895835130352269,
      0.05808907530267739,
      0.05723185003173754,
      0.05638650800887341,
      0.05555288404578501,
      0.054730815299548013,
      0.05392014111686614,
      0.053120703175962326,
      0.05233234544315182,
      0.051554913972872256,
      0.05078825698222751,
      0.05003222480068146,
      0.04928666979222191,
      0.048551446533863556,
      0.047826411588377256,
      0.04711142347901181,
      0.04640634277339412,
      0.045711031860039775,
      0.04502535508512813,
      0.04434917879471612,
      0.04368237113968069,
      0.04302480197676752,
      0.04237634317034905,
      0.041736868335712565,
      0.04110625278634553,
      0.040484373582837886,
      0.03987110957299505,
      0.039266341234908506,
      0.03866995071396313,
      0.03808182184090932,
      0.037501839981356686,
      0.03692989212971037,
      0.03636586684091617,
      0.0358096542315233,
      0.035261146022026645,
      0.034720235349868,
      0.0341868168774426,
      0.033660786683088965,
      0.033142042412347174,
      0.03263048297701184,
      0.032126008761384536,
      0.03162852159297943,
      0.03113792459453309,
      0.030654122244444252,
      0.030177020388529346,
      0.029706526104327943,
      0.029242547843936574,
      0.02878499535269536,
      0.02833377945959919,
      0.027888812365057393,
      0.027450007570894483,
      0.027017279637787873,
      0.026590544277341328,
      0.02616971845486687,
      0.02575472030002179,
      0.02534546911739577,
      0.024941885248930713,
      0.024543890156661925,
      0.024151406427012703,
      0.023764357646114793,
      0.023382668539471872,
      0.02300626484918846,
      0.022635073469555393,
      0.02226902209071322,
      0.021908039507333946,
      0.02155205548606752,
      0.021201000811700278,
      0.020854807164034556,
      0.020513407213072883,
      0.020176734496551326,
      0.01984472352882392,
      0.019517309785890235,
      0.01919442960541058,
      0.018876020159969857,
      0.01856201957974468,
      0.018252366850127284,
      0.017947001636129566,
      0.017645865477037385,
      0.017348903262478337,
      0.017056060134474204,
      0.016767280910299904,
      0.01648251061689488,
      0.016201694574289032,
      0.01592477849287127,
      0.015651708515053077,
      0.015382431551190213,
      0.015116895160471091,
      0.014855047447133863,
      0.014596837213029916,
      0.01434221392261143,
      0.014091127860775265,
      0.01384352986793764,
      0.01359937151624156,
      0.013358605091504435,
      0.013121183494852359,
      0.012887060211035462,
      0.01265618934859536,
      0.01242852572674236,
      0.012204024870229228,
      0.01198264279016318,
      0.011764336091515878,
      0.011549062019162719,
      0.011336778461689415,
      0.01112744395825967,
      0.010921017510428028,
      0.010717458693145642,
      0.010516727753156346,
      0.010318785338445694,
      0.01012359264840862,
      0.009931111536037885,
      0.009741304313813901,
      0.009554133841142192,
      0.00936956341045372,
      0.009187556991301275,
      0.009008079006008479,
      0.008831094323967843,
      0.008656568238179629,
      0.008484466621679352,
      0.00831475578730009,
      0.008147402431616407,
      0.007982373879852076,
      0.007819637792119498,
      0.007659162335516765,
      0.007500916186363413,
      0.007344868305529964,
      0.0071909880776152065,
      0.007039245470445876,
      0.006889610796449288,
      0.006742054806027364,
      0.006596548585511293,
      0.006453063545484283,
      0.006311571677507788,
      0.00617204538695441,
      0.006034457314618993,
      0.005898780585781987,
      0.005764988583724249,
      0.005633055106080681,
      0.005502954319343397,
      0.005374660784489624,
      0.005248149395467522,
      0.005123395426921068,
      0.0050003744879824384,
      0.004879062483804899,
      0.004759435724630071,
      0.004641470826315445,
      0.004525144580433961,
      0.004410434225821824,
      0.004297317346438277,
      0.004185771821556431,
      0.00407577574534412,
      0.0039673076079730085,
      0.0038603462366214687,
      0.0037548707187448948,
      0.0036508604026755606,
      0.003548294950237375,
      0.0034471541932066924,
      0.003347418391284416,
      0.00324906805285327,
      0.0031520839347840843,
      0.0030564470431628174,
      0.0029621386479335246,
      0.002869140355597322,
      0.0027774338910322312,
      0.0026870013114984707,
      0.0025978249489434675,
      0.00250988735984569,
      0.002423171364885384,
      0.0023376598734028064,
      0.002253336236224152,
      0.0021701839766141147,
      0.002088186821001892,
      0.002007328781447998,
      0.0019275939657497482,
      0.0018489667247769742,
      0.0017714316739127905,
      0.001694973689762088,
      0.00161957779365234,
      0.001545229334526446,
      0.0014719136577753078,
      0.0013996164104985386,
      0.0013283233514436799,
      0.0012580205877386742,
      0.0011886944884636499,
      0.0011203314340056773,
      0.001052918067963231
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567091018454056,
      10.33791408274572,
      10.101411442908503,
      9.860459779929045,
      9.617416057616303,
      9.374339355580851,
      9.133001868850114,
      8.894856765153483,
      8.661076665923273,
      8.43255543707308,
      8.209909202901066,
      7.9934910423092,
      7.7834171897130995,
      7.579602328722768,
      7.38179892434694,
      7.189635291223673,
      7.0026524406312065,
      6.820337105246567,
      6.64215932860685,
      6.4675974811879975,
      6.296150087187249,
      6.127358837251485,
      5.960826127380852,
      5.796217223654702,
      5.6332684222217635,
      5.471791500524536,
      5.311671472742293,
      5.152870618306215,
      4.995423989880243,
      4.839439038916704,
      4.685080074977206,
      4.532571431720894,
      4.382187087534157,
      4.234245623913551,
      4.0891170981759,
      3.9472133411468637,
      3.8089453606154007,
      3.674706443900649,
      3.5448608711608767,
      3.4197342842802856,
      3.299606151172724,
      3.1847046224559237,
      3.07520246452057,
      2.971218240858231,
      2.872805626540713,
      2.7799585672272817,
      2.692606166319614,
      2.6106205476045723,
      2.5338376264910965,
      2.4620369332673384,
      2.394974503353427,
      2.332384796304793,
      2.273970548779246,
      2.2194133593210874,
      2.1683570951749966,
      2.120410630929982,
      2.0752091692254435,
      2.0324159713146903,
      1.9917124946096436,
      1.9528165312134962,
      1.915498692739212,
      1.8795800130098752,
      1.8449181356026292,
      1.8113942638616656,
      1.7789051375771532,
      1.7473669773378564,
      1.7167118564416686,
      1.6868835221258458,
      1.6578344051798974,
      1.629523476225983,
      1.6019125982772786,
      1.5749661274951714,
      1.5486528545168867,
      1.52294507068165,
      1.4978177830394621,
      1.473248152985765,
      1.4492150914516968,
      1.4256989642851716,
      1.4026813759041439,
      1.3801450056743172,
      1.3580741127267044,
      1.3364543749382185,
      1.3152724406313236,
      1.2945154293797607,
      1.2741706879143042,
      1.2542258825461758,
      1.2346690534332612,
      1.21548864417663,
      1.1966735153340282,
      1.1782129460446173,
      1.1600966281436338,
      1.1423146568214866,
      1.1248578344241609,
      1.1077181369427151,
      1.0908880166359016,
      1.0743601935257117,
      1.058127310297176,
      1.042182230867641,
      1.0265190789930152,
      1.0111322372551566,
      0.996015738905699,
      0.9811634585074201,
      0.9665692369869521,
      0.9522269633748198,
      0.938130627636058,
      0.924274353303921,
      0.9106535375027991,
      0.897264608754078,
      0.8841035279996379,
      0.8711659174968314,
      0.8584472257865524,
      0.8459428361560452,
      0.833648138539165,
      0.8215585752100758,
      0.8096696704731892,
      0.7979770479007762,
      0.7864764399129304,
      0.775163693608102,
      0.7640347722401795,
      0.7530857551068004,
      0.7423128353756033,
      0.731712317631335,
      0.7212806144802609,
      0.7110142434003215,
      0.7009098231402687,
      0.6909640699596516,
      0.6811737941764803,
      0.6715358968000842,
      0.6620473660773174,
      0.6527052431757789,
      0.6435066071582981,
      0.6344486340396238,
      0.6255285955016427,
      0.6167438495235528,
      0.608091763591593,
      0.5995692966880042,
      0.5911733874990415,
      0.582901263648724,
      0.574750366697356,
      0.5667183005037811,
      0.5588027954173417,
      0.5510016839120665,
      0.5433128828742517,
      0.5357343814643947,
      0.5282642322174851,
      0.5209005438932769,
      0.513641476831969,
      0.5064852394414526,
      0.4994300849276789,
      0.49247430913473217,
      0.4856162482543338,
      0.47885427722186247,
      0.47218680804118907,
      0.4656122885279895,
      0.4591292010178406,
      0.4527360613760718,
      0.4464314178306154,
      0.44021384963359633,
      0.43408196631836204,
      0.428034406971344,
      0.4220698391427367,
      0.4161869580101722,
      0.41038448554412477,
      0.40466116985749107,
      0.3990157843611275,
      0.39344712700850293,
      0.387954019810389,
      0.38253530786001283,
      0.37718985893916035,
      0.3719165628686779,
      0.36671433081005134,
      0.361582092586811,
      0.3565185840825846,
      0.35152244917514164,
      0.3465924634731735,
      0.3417274977245024,
      0.3369264937348773,
      0.3321884470326616,
      0.3275124880881819,
      0.3228979918307399,
      0.31834432191074996,
      0.31385079830900803,
      0.3094168261854829,
      0.3050423267047019,
      0.3007272323858212,
      0.29647121022907846,
      0.29227375357549246,
      0.28813424367545,
      0.28405198784522606,
      0.2800262217826916,
      0.2760561838758912,
      0.2721412042828998,
      0.2682805956774764,
      0.2644736504301717,
      0.26071992493792523,
      0.2570190926296401,
      0.2533706768490673,
      0.249774105221263,
      0.24622874484752375,
      0.2427339263641563,
      0.23928895990633164,
      0.23589314568494885,
      0.23254578122728797,
      0.22924616607263532,
      0.22599360474376826,
      0.2227874086549823,
      0.21962689770329707,
      0.21651137171564025,
      0.21344006773417623,
      0.21041225244448986,
      0.20742723279935765,
      0.20448434582691638,
      0.201582952057879,
      0.19872243075353518,
      0.19590217677773722,
      0.19312159847829788,
      0.1903801161126689,
      0.18767716076131974,
      0.18501217363674005,
      0.18238460541714313,
      0.17979391581904736,
      0.17723957331853404,
      0.17472105480479494,
      0.17223784533024,
      0.16978943803331276,
      0.16737533384580242,
      0.16499504136615642,
      0.1626480767330748,
      0.16033396346137785,
      0.1580522322396051,
      0.15580242088636195,
      0.15358407413486627,
      0.1513967436525503,
      0.14923998789499754,
      0.14711337187027762,
      0.14501646710000057,
      0.14294885143931116,
      0.14091010909312005,
      0.13889983042151957,
      0.13691761172488415,
      0.13496305547870777,
      0.13303577003972222,
      0.1311353694903953,
      0.1292614736152544,
      0.1274137078049794,
      0.1255917028824182,
      0.1237950951868935,
      0.12202352629406453,
      0.12027664295531583,
      0.11855409720619622,
      0.11685554604616182,
      0.11518065156030043,
      0.1135290807520829,
      0.11190050541715599,
      0.11029460210276745,
      0.10871105209514448,
      0.10714954121276513,
      0.10560975987492512,
      0.10409140295677348,
      0.10259416969721248,
      0.10111776363393486,
      0.0996618927313221,
      0.09822626896302514,
      0.09681060853176854,
      0.09541463172816024,
      0.09403806280970363,
      0.09268062998893559,
      0.0913420654477354,
      0.0900221050218895,
      0.08872048838190423,
      0.0874369589150759,
      0.08617126376079196,
      0.08492315359158428,
      0.08369238266754708,
      0.08247870872533028,
      0.08128189289822502,
      0.08010169975027369,
      0.07893789721434438,
      0.07779025642781649,
      0.07665855179578966,
      0.0755425610089051,
      0.07444206487576713,
      0.07335684716658918,
      0.07228669482995845,
      0.0712313978587785,
      0.07019074926247001,
      0.06916454470681116,
      0.06815258295198492,
      0.06715466553862927,
      0.06617059690434325,
      0.06520018414118223,
      0.06424323701788362,
      0.06329956810709633,
      0.06236899249039445,
      0.06145132787970668,
      0.06054639455779387,
      0.059654015366132164,
      0.058774015664414925,
      0.05790622319094697,
      0.057050468072180976,
      0.056206582904526285,
      0.05537440269292836,
      0.054553764601037266,
      0.053744508065878806,
      0.05294647487631383,
      0.05215950901238799,
      0.05138345672200092,
      0.050618166294103234,
      0.04986348807530512,
      0.049119274621302,
      0.048385380563987404,
      0.04766166256922043,
      0.046947979219520784,
      0.046244191082194665,
      0.045550160600345814,
      0.044865752417572916,
      0.04419083288361565,
      0.04352527020313553,
      0.042868934291888226,
      0.04222169721909918,
      0.04158343265536088,
      0.040954015988973844,
      0.040333324320953996,
      0.039721236638872476,
      0.03911763351710189,
      0.038522397125857734,
      0.03793541129060813,
      0.03735656154809767,
      0.03678573506617828,
      0.03622282049024509,
      0.035667707928832976,
      0.03512028916763918,
      0.034580457469880775,
      0.03404810753857396,
      0.033523135665443994,
      0.03300543944049059,
      0.032494917867811585,
      0.031991471406886164,
      0.03149500199111568,
      0.031005412864131353,
      0.030522608545552058,
      0.030046494941483815,
      0.0295769793043906,
      0.02911397007430125,
      0.028657377020280515,
      0.02820711111671646,
      0.027763084685407835,
      0.027325211135176657,
      0.026893405221323444,
      0.026467582782205432,
      0.026047660861918415,
      0.025633557621027238,
      0.02522519249349083,
      0.024822485858779372,
      0.024425359322013177,
      0.024033735458083298,
      0.023647538004795625,
      0.023266691697925238,
      0.022891122345666617,
      0.022520756792558248,
      0.02215552286206545,
      0.021795349544961144,
      0.021440166651074136,
      0.0210899049925129,
      0.02074449633540529,
      0.020403873310794615,
      0.020067969672364575,
      0.019736720030490318,
      0.019410059863487216,
      0.01908792553173831,
      0.018770254359396,
      0.01845698456047191,
      0.018148055117660034,
      0.017843405803912048,
      0.01754297777961746,
      0.01724671570942317,
      0.016954565051636155,
      0.01666647089717309,
      0.016382378428444658,
      0.0161022329972136,
      0.01582598045738225,
      0.015553567194446283,
      0.015284940144251542,
      0.015020046845751181,
      0.014758835477054257,
      0.01450125496393597,
      0.014247254843203154,
      0.013996785402060221,
      0.013749797610158319,
      0.013506243118398703,
      0.013266074177334454,
      0.013029243761664434,
      0.012795705366637345,
      0.01256541330935569,
      0.012338322415591636,
      0.012114388301001268,
      0.01189356703147817,
      0.011675815224450308,
      0.011461090247537805,
      0.011249350038626905,
      0.011040553099960373,
      0.010834658468843144,
      0.010631625811519906,
      0.010431415303014767,
      0.010233987738085754,
      0.010039304390127273,
      0.009847327196397401,
      0.009658018570470214,
      0.00947134141385618,
      0.009287259072171544,
      0.009105735458570916,
      0.00892673499477484,
      0.00875022268137342,
      0.00857616400497642,
      0.008404524815680315,
      0.008235271434734563,
      0.008068370630358809,
      0.007903789633791345,
      0.007741496360604637,
      0.007581458979298923,
      0.007423646136453813,
      0.007268026916132139,
      0.007114570769627817,
      0.006963247656400766,
      0.0068140279578895015,
      0.00666688241853639,
      0.00652178213276336,
      0.006378698736915551,
      0.006237604138865711,
      0.006098470789480791,
      0.005961271358016572,
      0.005825979006788175,
      0.0056925672665903,
      0.005561009932835883,
      0.005431281293517844,
      0.005303355862949037,
      0.0051772085614747755,
      0.005052814636273351,
      0.004930149742146945,
      0.004809189928839322,
      0.0046899114132624405,
      0.0045722909189258535,
      0.004456305285302734,
      0.004341931784299064,
      0.0042291480309045075,
      0.004117931939850119,
      0.0040082617916683775,
      0.0039001159819745776,
      0.0037934733628557597,
      0.003688313039052782,
      0.0035846143876638705,
      0.003482357098110638,
      0.003381521130536226,
      0.003282086707048522,
      0.003184034386888281,
      0.0030873449518357683,
      0.0029919994453196227,
      0.002897979187064791,
      0.002805265763308017,
      0.0027138410435610274,
      0.0026236871605087894,
      0.0025347864333351957,
      0.002447121393767829,
      0.002360674844708324,
      0.0022754298818338766,
      0.002191369782748062,
      0.002108478214803395,
      0.0020267387955639764,
      0.0019461354803056812,
      0.0018666524543714397,
      0.001788274255714782,
      0.0017109854595421113,
      0.0016347709806528836,
      0.0015596158357651941,
      0.0014855053393224274,
      0.0014124250139749494,
      0.001340360476572496,
      0.0012692976233980653,
      0.0011992224793380688,
      0.0011301213147753386,
      0.0010619807062832165,
      0.000994787299293779
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567083369079603,
      10.337888569919127,
      10.101360239460433,
      9.860377632343832,
      9.617299423695199,
      9.374185775321667,
      9.1328099642917,
      8.894626222784629,
      8.660807673324044,
      8.432248503576295,
      8.209564984430209,
      7.993110216185045,
      7.783000359931281,
      7.579149968651245,
      7.381311344367749,
      7.1891126374255485,
      7.002094641047477,
      6.81974387120767,
      6.641530383712375,
      6.466932705614116,
      6.295449509333174,
      6.126622738960746,
      5.9600550584702825,
      5.79541201865093,
      5.632430212730417,
      5.470921761974341,
      5.310772072207338,
      5.151943878577362,
      4.994472687804171,
      4.838466299841392,
      4.684089291548363,
      4.5315664904710165,
      4.3811723940028395,
      4.23322589971942,
      4.088097855121738,
      3.9462003557888163,
      3.8079442031466155,
      3.6737223790818074,
      3.543898767668138,
      3.4187985358150845,
      3.2987006542909856,
      3.183832798210379,
      3.074367052742594,
      2.9704212555582545,
      2.872048291961844,
      2.7792411603485982,
      2.691927942621531,
      2.609980243164737,
      2.5332332776259188,
      2.46146586779811,
      2.3944340877780785,
      2.3318721240197062,
      2.2734823921827942,
      2.218946343910688,
      2.1679073468414045,
      2.119974292709104,
      2.074782831853595,
      2.031996339781846,
      1.9912967304092106,
      1.9524023856972985,
      1.9150845120392195,
      1.8791645879406496,
      1.844500546401906,
      1.8109736925355706,
      1.7784809603166338,
      1.7469387780568557,
      1.7162793681302952,
      1.6864465838841347,
      1.6573929315777933,
      1.6290774354967197,
      1.6014620209530894,
      1.5745110736401287,
      1.5481933936967118,
      1.522481279464134,
      1.4973497422779651,
      1.4727759455987683,
      1.4487388014096316,
      1.4252186766504067,
      1.402197174972173,
      1.3796569749771495,
      1.3575823561747147,
      1.3359590132839296,
      1.3147736076302927,
      1.2940132404213358,
      1.2736652450916888,
      1.2537172785677235,
      1.234157373865159,
      1.214973969795754,
      1.196155922962087,
      1.1776925091850026,
      1.159573417877251,
      1.1417887425534647,
      1.1243293139366621,
      1.107187110337297,
      1.0903545853748298,
      1.0738244520551665,
      1.057589342757039,
      1.0416421986287234,
      1.0259772592670275,
      1.0105888346354504,
      0.995470909178447,
      0.9806173240732305,
      0.966021897031201,
      0.9516785010403007,
      0.9375811148700481,
      0.9237238850241611,
      0.9101024430937084,
      0.8967132049182717,
      0.8835520386444938,
      0.8706145037337509,
      0.857896005812205,
      0.8453918996852913,
      0.8330975559205844,
      0.8210084036356904,
      0.8091199577527955,
      0.7974278354884488,
      0.7859277653961795,
      0.7746155916485271,
      0.7634872756726001,
      0.7525388949781012,
      0.7417666414246843,
      0.7311668190845267,
      0.7207358399176605,
      0.7104702208129703,
      0.700366579999629,
      0.6904216334023524,
      0.6806321909479573,
      0.6709951532635205,
      0.6615075081346333,
      0.6521662944481148,
      0.6429685907867868,
      0.6339115735084213,
      0.6249925146136293,
      0.6162087720366236,
      0.6075577327594457,
      0.5990363838603084,
      0.5906416478636285,
      0.5823707416159477,
      0.5742210992270419,
      0.5661903191032359,
      0.5582761281908821,
      0.5504763564981152,
      0.5427889189094854,
      0.5352118031868549,
      0.5277430607019227,
      0.520380799301105,
      0.5131231788556073,
      0.5059684072060007,
      0.4989147371388431,
      0.4919604638379181,
      0.4851039230178574,
      0.47834348908336743,
      0.4716775737524355,
      0.46510462441112427,
      0.4586231231455284,
      0.4522315853892251,
      0.4459285587242405,
      0.43971262212057133,
      0.43358238483099815,
      0.4275364853516701,
      0.421573590962483,
      0.41569239655408263,
      0.40989162383911387,
      0.40417002046740225,
      0.3985263593792423,
      0.39295943827326035,
      0.387468078632473,
      0.3820511253038748,
      0.3767074457432986,
      0.37143592941221226,
      0.3662354869722326,
      0.36110503842102976,
      0.3560433057559932,
      0.35104894038578605,
      0.3461207229161739,
      0.34125752745381016,
      0.3364582979410711,
      0.3317220313596845,
      0.3270479472244157,
      0.3224354310861248,
      0.3178838235539733,
      0.31339242154487545,
      0.30896070907074596,
      0.3045886867386575,
      0.3002762122475247,
      0.29602290244780355,
      0.2918282168401802,
      0.28769151369874457,
      0.2836120878331686,
      0.279589197037979,
      0.2756221219216382,
      0.2717101779699406,
      0.2678526481631108,
      0.26404882171519467,
      0.26029826542324497,
      0.25660062947748946,
      0.25295542171553237,
      0.24936205926396196,
      0.2458199022037364,
      0.2423282764932446,
      0.23888648909837368,
      0.2354938381228272,
      0.2321496196314172,
      0.22885313226201318,
      0.225603679822479,
      0.22240057349981682,
      0.21924313285031094,
      0.21613064770304805,
      0.2130623543104371,
      0.21003752302291695,
      0.2070554632663949,
      0.20411551380343876,
      0.20121703624187567,
      0.19835941060922258,
      0.19554203231495493,
      0.19276431005829775,
      0.190025664368211,
      0.1873255265549908,
      0.1846633379807584,
      0.18203854936703076,
      0.17945062054447014,
      0.17689902007178435,
      0.17438322493939182,
      0.1719027202045417,
      0.16945699907210038,
      0.16704556251206082,
      0.16466791914506365,
      0.1623235851724467,
      0.1600120840647579,
      0.1577329465306204,
      0.15548571047850598,
      0.1532699208328338,
      0.15108512928632958,
      0.14893089421055464,
      0.14680678062917904,
      0.14471236011490904,
      0.14264721063451447,
      0.14061091648204888,
      0.13860306804582923,
      0.1366232618476961,
      0.13467110030732057,
      0.13274619174673494,
      0.1308481502722213,
      0.12897659574373088,
      0.1271311536471276,
      0.1253114549010313,
      0.12351713586483326,
      0.12174783814703069,
      0.12000320859538144,
      0.11828289931611922,
      0.11658656741751124,
      0.1149138750359344,
      0.11326448917474866,
      0.11163808177530835,
      0.11003432944721611,
      0.10845291353870547,
      0.1068935198340386,
      0.10535583880648319,
      0.10383956549216997,
      0.1023443991501082,
      0.10087004351551836,
      0.09941620652055116,
      0.09798260029679662,
      0.09656894104546067,
      0.0951749491630358,
      0.09380034902516614,
      0.09244486883501797,
      0.09110824086008495,
      0.08979020107225905,
      0.08849048927180016,
      0.08720884889334737,
      0.08594502706026516,
      0.08469877456912692,
      0.08346984582352981,
      0.08225799857713002,
      0.08106299401917624,
      0.0798845968531139,
      0.07872257498056415,
      0.07757669973122462,
      0.07644674556404449,
      0.07533249024743732,
      0.07423371468224195,
      0.0731502028123758,
      0.07208174166748937,
      0.07102812125416509,
      0.06998913446151432,
      0.06896457730779898,
      0.06795424864839075,
      0.06695795012932268,
      0.06597548614145195,
      0.06500666393771436,
      0.06405129327061633,
      0.0631091868118597,
      0.06218015979123701,
      0.06126403004530605,
      0.06036061794527288,
      0.0594697464299992,
      0.05859124088290644,
      0.05772492913889229,
      0.05687064149085595,
      0.05602821057508682,
      0.05519747137646523,
      0.054378261315767285,
      0.05357041994219673,
      0.05277378899653062,
      0.0519882125808601,
      0.05121353699706013,
      0.05044961061580892,
      0.04969628395683408,
      0.04895340962800129,
      0.048220842253020854,
      0.04749843860080953,
      0.046786057401890686,
      0.04608355933424353,
      0.045390807013407454,
      0.0447076649519004,
      0.04403399965932259,
      0.043369679473366174,
      0.0427145746140528,
      0.042068556981194105,
      0.04143150027311234,
      0.0408032799945196,
      0.04018377343633041,
      0.0395728596751421,
      0.03897041933125235,
      0.03837633462850534,
      0.03779048957485369,
      0.03721276968833784,
      0.03664306217444214,
      0.03608125579161156,
      0.0355272407515505,
      0.03498090896839222,
      0.03444215380268737,
      0.03391087004914614,
      0.03338695394281388,
      0.03287030315804614,
      0.03236081697204431,
      0.03185839597348824,
      0.031362941973171694,
      0.030874358323633704,
      0.03039254965602533,
      0.02991742190204415,
      0.02944888241606776,
      0.028986839835860676,
      0.02853120395148352,
      0.028081885803972157,
      0.027638797726053852,
      0.027201853298028503,
      0.026770967302504375,
      0.026346055741364633,
      0.025927035633981042,
      0.02551382526543101,
      0.025106343974871378,
      0.024704512374463812,
      0.024308252083021033,
      0.023917485756656004,
      0.02353213721213006,
      0.023152131294306454,
      0.022777393874294716,
      0.022407851922091295,
      0.022043433341361017,
      0.021684067043495913,
      0.021329683017576095,
      0.020980212049695444,
      0.020635586086659784,
      0.020295738010574545,
      0.019960601446121218,
      0.01963011106023065,
      0.01930420236973207,
      0.01898281186434223,
      0.018665876916480608,
      0.018353335701419407,
      0.018045127330488006,
      0.017741191758666394,
      0.01744146985435377,
      0.01714590592220151,
      0.01685444577362763,
      0.016567034625408,
      0.01628361789021998,
      0.016004141070680503,
      0.015728550067251768,
      0.015456791379733584,
      0.015188811973832051,
      0.014924559639292139,
      0.014663982619772977,
      0.014407029855410109,
      0.01415365095410557,
      0.013903796242171284,
      0.013657416817596375,
      0.013414464326461881,
      0.013174891046882832,
      0.012938649956194315,
      0.012705694794712898,
      0.01247597983337308,
      0.012249459961674996,
      0.012026090733206147,
      0.01180582834398434,
      0.011588629575355279,
      0.01137445177691799,
      0.011163252998307678,
      0.010954991818146981,
      0.01074962723258348,
      0.010547118958731526,
      0.010347427321176142,
      0.01015051308993119,
      0.009956337612873407,
      0.009764862772089876,
      0.009576051133456174,
      0.009389865666106232,
      0.009206269762481817,
      0.009025227450928335,
      0.008846703197449098,
      0.008670661950658916,
      0.008497069169571594,
      0.008325890910701676,
      0.008157093548658503,
      0.007990643898670413,
      0.007826509283398689,
      0.007664657519357043,
      0.007505056860454255,
      0.007347676007097736,
      0.007192484085181079,
      0.0070394506201527955,
      0.006888545557467953,
      0.006739739329243051,
      0.006593002808076547,
      0.006448307135444142,
      0.006305623958275296,
      0.006164925336842356,
      0.006026183628720758,
      0.005889371571252608,
      0.0057544622633539586,
      0.005621429295454557,
      0.0054902465761627745,
      0.0053608884526593886,
      0.005233329487831463,
      0.005107544615699351,
      0.004983509157508869,
      0.004861198807590787,
      0.004740589601593479,
      0.004621657847951042,
      0.004504380225468842,
      0.0043887337491804145,
      0.004274695724622424,
      0.004162243811577576,
      0.004051355929810161,
      0.003942010261583956,
      0.003834185375744357,
      0.0037278601692937318,
      0.003623013784382023,
      0.003519625640966089,
      0.0034176754452419395,
      0.003317143224196567,
      0.0032180092410419624,
      0.0031202540130431627,
      0.003023858368779049,
      0.0029288034045749462,
      0.0028350704738851354,
      0.00274264118406076,
      0.0026514973624454236,
      0.002561621175755391,
      0.002472994996468036,
      0.0023856014736053743,
      0.0022994234137222623,
      0.002214443929722469,
      0.0021306464190033007,
      0.002048014396503345,
      0.0019665316528224576,
      0.001886182145753968,
      0.0018069501474559527,
      0.001728820068163869,
      0.001651776636676818,
      0.0015758047131693778,
      0.00150088940152623,
      0.0014270160290812406,
      0.0013541701143265322,
      0.0012823373991662868,
      0.0012115037422105017,
      0.0011416553175984641,
      0.0010727784333973453,
      0.0010048594651629519,
      0.0009378851206966894
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567075732622392,
      10.337863099990916,
      10.101309122315165,
      9.860295620865138,
      9.617182977103619,
      9.374032435281302,
      9.13261836275635,
      8.894396056534989,
      8.660539136986179,
      8.431942113015616,
      8.209221402349929,
      7.992730122913847,
      7.782584360552052,
      7.578698538691114,
      7.380824797592677,
      7.188591121457858,
      7.001538083092427,
      6.8191519805264775,
      6.640902882821851,
      6.466269475914153,
      6.294750583823153,
      6.125888402500953,
      5.959285864159414,
      5.794608802457944,
      5.631594108171917,
      5.470054246236438,
      5.309875013115677,
      5.151019598704698,
      4.993523962017106,
      4.837496251694689,
      4.683101308901594,
      4.530564453092753,
      4.380160698473843,
      4.232209255834214,
      4.0870817619355035,
      3.945190575254262,
      3.8069462887568912,
      3.672741579083725,
      3.542939934114946,
      3.4178660462449173,
      3.297798412334746,
      3.1829642256671473,
      3.073534872876871,
      2.9696274657523927,
      2.8712941007497443,
      2.778526832747626,
      2.6912527264348323,
      2.6093428678993,
      2.532631774783023,
      2.4608975621893467,
      2.393896344233242,
      2.33136203618923,
      2.272996735620873,
      2.2184817484155603,
      2.1674599449685186,
      2.1195402342929492,
      2.0743587149748532,
      2.0315788775040176,
      1.9908830918218081,
      1.9519903278681543,
      1.9146723862757307,
      1.8787511891039144,
      1.844084958767856,
      1.8105551011031713,
      1.778058744147997,
      1.7465125234698007,
      1.7158488092250885,
      1.686011561245568,
      1.65695336167631,
      1.628633287652452,
      1.6010133265235298,
      1.574057893856438,
      1.547735799169523,
      1.5220193469661754,
      1.4968835526324615,
      1.4723055823692899,
      1.4482643493734266,
      1.4247402203588202,
      1.401714799226739,
      1.37917076350604,
      1.357092413482477,
      1.3354654607048555,
      1.3142765791806514,
      1.2935128514775345,
      1.2731615981180304,
      1.2532104660577494,
      1.233647482005176,
      1.214461079644943,
      1.1956401112839816,
      1.1771738497424846,
      1.159051982477909,
      1.1412646008790446,
      1.12380256369543,
      1.1066578512541394,
      1.0898229193991817,
      1.0732904745253962,
      1.0570531377863706,
      1.0411039305585041,
      1.0254372040542048,
      1.0100471962755806,
      0.9949278431571124,
      0.9800729520725388,
      0.9654763177587476,
      0.951131797551253,
      0.9370333593611985,
      0.9231752745708119,
      0.9095533562674846,
      0.8961639064111655,
      0.8830027171669538,
      0.8700652966418174,
      0.8573470157779193,
      0.8448432056820102,
      0.8325492207335564,
      0.8204604792362116,
      0.8085724889043835,
      0.796880861949192,
      0.7853813234344158,
      0.7740697150285432,
      0.7629419962905887,
      0.7519942435068004,
      0.7412226477645196,
      0.7306235122156057,
      0.7201932484507462,
      0.7099283728402207,
      0.6998255032136249,
      0.6898813549482473,
      0.6800927376964828,
      0.6704565517417878,
      0.6609697845478656,
      0.6516294727055831,
      0.6424326943281341,
      0.633376626176655,
      0.6244585402484124,
      0.6156757942366262,
      0.6070257950313962,
      0.5985055578626667,
      0.5901119893776199,
      0.5818422953192064,
      0.5736939020458053,
      0.5656644028707288,
      0.5577515211115971,
      0.5499530840331772,
      0.5422670047730088,
      0.5346912697193038,
      0.5272239291555849,
      0.5198630901151313,
      0.5126069116675492,
      0.5054536009558704,
      0.4984014103426601,
      0.4914486345742075,
      0.4845936088805088,
      0.4778347073822038,
      0.4711703413506183,
      0.46459895773360227,
      0.45811903807900345,
      0.451729097454538,
      0.4454276832172646,
      0.43921337391634385,
      0.43308477846113,
      0.4270405351017469,
      0.421079310505866,
      0.41519979906229665,
      0.4094007220605558,
      0.4036808268510112,
      0.3980388861423762,
      0.39247369713359626,
      0.38698408101809256,
      0.38156888230317926,
      0.3762269679741244,
      0.37095722716532537,
      0.36575857032467046,
      0.36062990757911273,
      0.35556994724999746,
      0.3505773481566031,
      0.34565089573115493,
      0.3407894675098956,
      0.33599200955336284,
      0.3312575538732606,
      0.32658539191191177,
      0.3219748896205364,
      0.31742536804367305,
      0.31293610143206096,
      0.30850670121961193,
      0.3041371878200105,
      0.29982735114427467,
      0.29557676237838687,
      0.2913848502717082,
      0.28725095223356517,
      0.28317434875873027,
      0.2791542891844628,
      0.27519007130329604,
      0.2712810434662117,
      0.2674265043668969,
      0.2636257364304374,
      0.2598783075689639,
      0.25618383881278134,
      0.2525418184381591,
      0.24895165027142127,
      0.2454126854956074,
      0.2419242439858793,
      0.2384856286767717,
      0.23509613512813063,
      0.2317550576497297,
      0.22846169349754955,
      0.22521534575622368,
      0.22201532508535055,
      0.2188609507823568,
      0.21575150265863144,
      0.21268621608080335,
      0.2096643650828217,
      0.20668526159497963,
      0.2037482460058215,
      0.20085268100610254,
      0.19799794742040003,
      0.1951834412219531,
      0.19240857147933715,
      0.18967275901116984,
      0.18697543535029415,
      0.18431604187387576,
      0.18169402938993556,
      0.1791088577972347,
      0.17655999572876002,
      0.17404692022924223,
      0.1715691164657808,
      0.16912607756623077,
      0.16671730467492135,
      0.16434230644926995,
      0.1620005990911452,
      0.15969170616838282,
      0.15741515844918708,
      0.15517049380653405,
      0.15295725719857572,
      0.1507750004457881,
      0.1486232819823184,
      0.1465016668798993,
      0.1444097268013395,
      0.14234703962253079,
      0.14031318965130526,
      0.13830776739371428,
      0.13633036938320017,
      0.1343805981925663,
      0.13245806225399606,
      0.130562375753601,
      0.12869315857543157,
      0.12685003613501572,
      0.12503263944001858,
      0.12324060495157087,
      0.12147357428477458,
      0.1197311944081952,
      0.11801311747240666,
      0.11631900067401298,
      0.11464850617380956,
      0.11300130105626532,
      0.11137705730483023,
      0.10977545162776609,
      0.10819616541375478,
      0.10663888455662737,
      0.10510329972112906,
      0.10358910582903359,
      0.1020960023676648,
      0.10062369304539653,
      0.09917188590696088,
      0.09774029304933851,
      0.09632863088002164,
      0.09493661977234126,
      0.09356398419248271,
      0.09221045256722982,
      0.0908757571777827,
      0.08955963402892064,
      0.08826182290882163,
      0.08698206748158693,
      0.08572011504950923,
      0.08447571637903369,
      0.08324862582515576,
      0.08203860132854691,
      0.08084540416438654,
      0.07966879904677479,
      0.07850855407977332,
      0.07736444059981944,
      0.0762362331663918,
      0.07512370963410343,
      0.07402665093160053,
      0.07294484108979295,
      0.0718780672145242,
      0.07082611943238923,
      0.06978879091102733,
      0.06876587771560451,
      0.06775717861210859,
      0.06676249527181638,
      0.06578163225426523,
      0.06481439685118723,
      0.06386059905813367,
      0.06292005155320078,
      0.061992569586699846,
      0.06107797117949427,
      0.0601760767812152,
      0.059286709325795856,
      0.058409694308592504,
      0.057544859723719595,
      0.05669203586111311,
      0.05585105551324476,
      0.05502175372310431,
      0.054203967919636185,
      0.05339753781988748,
      0.05260230535927845,
      0.05181811468392943,
      0.05104481214197179,
      0.05028224618122853,
      0.049530267480829414,
      0.048788728706031105,
      0.048057484538252496,
      0.047336391804460226,
      0.04662530932859032,
      0.04592409789250459,
      0.045232620216932425,
      0.044550740997542984,
      0.043878326728873956,
      0.04321524576118879,
      0.042561368415312446,
      0.04191656674205093,
      0.041280714552459026,
      0.040653687477265096,
      0.040035362806936606,
      0.03942561961513886,
      0.03882433864097243,
      0.038231402253812906,
      0.037646694554649675,
      0.03707010124272223,
      0.036501509513342224,
      0.03594080820672755,
      0.03538788767655529,
      0.034842639820332574,
      0.03430495806487748,
      0.033774737275053326,
      0.033251873874454434,
      0.03273626565751857,
      0.03222781186777709,
      0.03172641311593072,
      0.03123197144042537,
      0.030744390255647496,
      0.03026357421929969,
      0.02978942943282325,
      0.029321863277809813,
      0.028860784432534814,
      0.028406102785573272,
      0.02795772951608266,
      0.02751557691191228,
      0.027079558675635145,
      0.026649589675917653,
      0.026225585958264578,
      0.025807464734661296,
      0.0253951442633631,
      0.024988544076194146,
      0.02458758475272085,
      0.02419218797198192,
      0.023802276511572292,
      0.02341777425701304,
      0.02303860613905192,
      0.022664698151766218,
      0.022295977285257677,
      0.021932371500941947,
      0.021573809735529557,
      0.021220221953510636,
      0.020871539210176822,
      0.020527693489654757,
      0.020188617667556988,
      0.01985424557888359,
      0.01952451195604038,
      0.01919935231938554,
      0.018878703163645955,
      0.018562502020821974,
      0.018250687164445722,
      0.017943197647614418,
      0.017639973509535094,
      0.01734095550861733,
      0.017046087536247142,
      0.016755315621197777,
      0.016468585294503013,
      0.0161858420122981,
      0.015907031603555485,
      0.015632100057682792,
      0.015360993847164259,
      0.0150936601056048,
      0.014830046598641214,
      0.01457010170996868,
      0.014313774423385743,
      0.014061014542680819,
      0.013811772405602796,
      0.013565999121841237,
      0.013323646425753647,
      0.01308466664606752,
      0.012849012862634422,
      0.012616638741139987,
      0.012387498663318106,
      0.01216154749718431,
      0.011938740986039593,
      0.011719035415802088,
      0.011502387596375906,
      0.011288754965689502,
      0.011078095569046553,
      0.010870368008965669,
      0.010665531437110997,
      0.010463545550765348,
      0.010264370695371576,
      0.010067967868850607,
      0.00987429842228036,
      0.009683324302743847,
      0.009495007935743397,
      0.009309312402113015,
      0.00912620128059418,
      0.008945638549322574,
      0.008767588610057947,
      0.008592016574559106,
      0.008418888064077028,
      0.008248169068083882,
      0.008079825880864934,
      0.007913825503597899,
      0.0077501353557431485,
      0.007588723280847388,
      0.007429557439304055,
      0.007272606673426998,
      0.007117840219580698,
      0.0069652277530570725,
      0.006814739186099739,
      0.006666344976302133,
      0.006520015959597613,
      0.0063757233185114705,
      0.00623343871082946,
      0.006093134241024203,
      0.005954782382570607,
      0.005818355965340543,
      0.005683828189951,
      0.005551172662400249,
      0.005420363233022316,
      0.005291374250556663,
      0.005164180340174965,
      0.005038756583977557,
      0.004915078295829905,
      0.004793121217281923,
      0.0046728614159059,
      0.004554275210315548,
      0.004437339331731438,
      0.004322030807275045,
      0.004208327035172737,
      0.004096205625959755,
      0.00398564456904262,
      0.0038766222420309393,
      0.0037691171727218297,
      0.0036631081967841987,
      0.0035585745146675474,
      0.0034554956098763485,
      0.003353851251096171,
      0.0032536214510315263,
      0.003154786489671141,
      0.003057326976773777,
      0.0029612237695178707,
      0.0028664579990010245,
      0.002773011136275296,
      0.002680864639540327,
      0.0025900004539377327,
      0.0025004007880165785,
      0.002412048056650613,
      0.0023249248437094707,
      0.0022390140882143444,
      0.002154298915530683,
      0.0020707627556356568,
      0.0019883891699670514,
      0.0019071619267847328,
      0.001827065077347784,
      0.0017480829061289817,
      0.0016701998626317389,
      0.001593400672252373,
      0.0015176703270976559,
      0.0014429939315878976,
      0.001369356796886636,
      0.0012967444466077409,
      0.0012251426046260233,
      0.0011545372407216188,
      0.001084914470992728,
      0.0010162606307326653,
      0.0009485621951548786,
      0.0008818058536065967
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567068109489469,
      10.337837670316183,
      10.101258078714151,
      9.860213718824927,
      9.617066675442219,
      9.373879279350493,
      9.132426992085131,
      8.894166173255291,
      8.660270941049445,
      8.431636123713048,
      8.208878284887613,
      7.992350560682338,
      7.7821689618900525,
      7.578247780712599,
      7.3803389952662,
      7.188070424342184,
      7.00098242124798,
      6.818561064888056,
      6.640276437171683,
      6.4656073842021415,
      6.2940528818501,
      6.1251553775351555,
      5.958518069719988,
      5.793807076837257,
      5.63075958720581,
      5.469188408916447,
      5.308979728677917,
      5.15009719042807,
      4.992577204487122,
      4.836528264971784,
      4.682115476437937,
      4.529564648244425,
      4.379151308392642,
      4.231194980768015,
      4.086068089143529,
      3.944183254440066,
      3.8059508614578594,
      3.6717632802524047,
      3.5419836024505917,
      3.416936045774347,
      3.2968986326473315,
      3.182098076685453,
      3.072705065555678,
      2.968835942039047,
      2.870542027676282,
      2.77781448041617,
      2.690579352039149,
      2.6087072093801242,
      2.5320318720838824,
      2.460330749747421,
      2.3933599955130664,
      2.3308532551341212,
      2.272512307749619,
      2.218018313734507,
      2.1670136438818215,
      2.1191072264789277,
      2.073935608821518,
      2.0311623959890723,
      1.9904704124929045,
      1.9515792155627862,
      1.9142611978046564,
      1.8783387231071211,
      1.8436703021476653,
      1.810137441391514,
      1.7776374619237343,
      1.7460872060547348,
      1.7154191923768471,
      1.6855774859747226,
      1.6565147442053507,
      1.628190098006275,
      1.6005655963426517,
      1.573605683520563,
      1.547279179184743,
      1.5215583945943494,
      1.496418349219615,
      1.471836211424635,
      1.4477908955000849,
      1.4242627687801628,
      1.401233434736277,
      1.378685570262716,
      1.3566034963009532,
      1.3349729401420607,
      1.3137805885064069,
      1.2930135058095518,
      1.2726589999454982,
      1.2527047083350478,
      1.233138649983841,
      1.2139492534256757,
      1.1951253678161249,
      1.1766562632026618,
      1.1585316241965788,
      1.1407415400329108,
      1.1232768978650338,
      1.106129680464284,
      1.0892923456145946,
      1.0727575925087918,
      1.056518031805747,
      1.0405668398291439,
      1.0248983789146404,
      1.0095068240882337,
      0.9943860680543847,
      0.9795298883195173,
      0.9649320590406237,
      0.9505864233690474,
      0.9364869392068869,
      0.9226280035560399,
      0.9090056114819587,
      0.8956159515940983,
      0.8824547405512676,
      0.8695174351215621,
      0.8567993716275545,
      0.8442958575906357,
      0.8320022317203875,
      0.8199139016680929,
      0.8080263674914553,
      0.7963352362000659,
      0.784836229373632,
      0.7735251865364999,
      0.7623980654590288,
      0.751450941257024,
      0.7406800040184588,
      0.7300815561033378,
      0.7196520086564927,
      0.7093878774023668,
      0.6992857796930531,
      0.6893424305845757,
      0.6795546394000979,
      0.6699193061258011,
      0.6604334178216615,
      0.6510940086245305,
      0.6418981561196906,
      0.6328430375391126,
      0.6239259250445442,
      0.6151441763317826,
      0.606495218009984,
      0.5979760937547275,
      0.5895836937905625,
      0.5813152131011758,
      0.5731680703830299,
      0.5651398537935439,
      0.5572282829078343,
      0.549431182412876,
      0.5417464635344535,
      0.5341721111473798,
      0.5267061741026403,
      0.5193467588597258,
      0.5120920238478309,
      0.5049401757243779,
      0.49788946618218766,
      0.49093818948648327,
      0.4840846803646578,
      0.4773273125066695,
      0.4706644966655115,
      0.46409467953214595,
      0.45761634242345733,
      0.4512279998654037,
      0.444928198813483,
      0.43871551744733345,
      0.43258856418008046,
      0.4265459768358491,
      0.4205864218982962,
      0.4147085934023118,
      0.40891121226040145,
      0.4031930254683209,
      0.3975528052950501,
      0.39198934861266294,
      0.3865014763444259,
      0.38108803252533263,
      0.37574788379115626,
      0.37047991879010916,
      0.36528304767299,
      0.36015617089162544,
      0.3550979831338077,
      0.35010715051918795,
      0.34518246351392307,
      0.34032280285886285,
      0.33552711682562486,
      0.33079449276069633,
      0.3261242766449718,
      0.3215158070125763,
      0.316968383758759,
      0.31248127536526427,
      0.3080542270836127,
      0.30368724753568305,
      0.2993800637896992,
      0.2951322045921114,
      0.29094306994544905,
      0.28681197785970475,
      0.282738195828514,
      0.27872096512261896,
      0.2747595943903116,
      0.2708534286311328,
      0.26700176869833164,
      0.2632039479173454,
      0.25945956823046973,
      0.25576821420897405,
      0.2521293460977598,
      0.248542348778321,
      0.24500656066494025,
      0.24152129305645065,
      0.238085843209715,
      0.2346995027368554,
      0.231361563369825,
      0.2280713205975529,
      0.22482807637451527,
      0.22163114060659037,
      0.2184798320182661,
      0.21537342056025868,
      0.21231114060417647,
      0.20929226982207846,
      0.2063161224381694,
      0.20338204047225017,
      0.20048938774104863,
      0.1976375458960344,
      0.19482591142751338,
      0.19205389380276955,
      0.18932091393023365,
      0.18662640351680795,
      0.18396980421058481,
      0.18135056691994886,
      0.17876815170175908,
      0.17622202707354795,
      0.17371167008402197,
      0.17123656607985252,
      0.16879620831498732,
      0.16639009787842166,
      0.16401774355265686,
      0.16167866156450125,
      0.15937237550779268,
      0.15709841623435628,
      0.15485632160514418,
      0.15264563658443875,
      0.1504659131053787,
      0.14831670963013976,
      0.14619759130062343,
      0.14410812980860505,
      0.1420479032658188,
      0.14001649596460006,
      0.1380134983664761,
      0.1360385070831697,
      0.13409112470377638,
      0.13217095964001632,
      0.13027762619809027,
      0.12841074443987996,
      0.12656993978162492,
      0.12475484322573051,
      0.12296509124083466,
      0.12120032563341389,
      0.11946019348068924,
      0.11774434686369117,
      0.11605244311237874,
      0.11438414447569091,
      0.1127391180875667,
      0.11111703592294406,
      0.10951757482677378,
      0.10794041628535472,
      0.10638524630857893,
      0.10485175546648624,
      0.10333963889023337,
      0.10184859607868425,
      0.10037833082703504,
      0.09892855118313958,
      0.09749896944977417,
      0.09608930204221507,
      0.09469926949357282,
      0.09332859627686484,
      0.09197701077421085,
      0.09064424534841962,
      0.08933003624410843,
      0.08803412337478227,
      0.08675625047285489,
      0.08549616478831555,
      0.08425361728344465,
      0.08302836236333382,
      0.08182015797149246,
      0.08062876554233202,
      0.0794539499882775,
      0.07829547926021033,
      0.07715312480623465,
      0.07602666140669288,
      0.07491586695449282,
      0.07382052244377532,
      0.07274041210988043,
      0.07167532309711676,
      0.07062504554481053,
      0.0695893726199817,
      0.06856810048197473,
      0.06756102807656367,
      0.06656795716281401,
      0.06558869234409277,
      0.0646230410996616,
      0.06367081344849224,
      0.0627318221569679,
      0.061805882622473586,
      0.06089281286545752,
      0.05999243344852193,
      0.05910456743355241,
      0.05822904042744248,
      0.0573656804086119,
      0.056514317788043354,
      0.05567478545067757,
      0.05484691854857483,
      0.0540305546299441,
      0.05322553350406297,
      0.05243169713967745,
      0.05164888976881527,
      0.05087695777027186,
      0.05011574978686819,
      0.0493651164536175,
      0.04862491056303949,
      0.047894987025279195,
      0.047175202661280204,
      0.04646541639477081,
      0.04576548910514005,
      0.04507528353242165,
      0.04439466454871445,
      0.04372349871264507,
      0.043061654482194615,
      0.04240900219305698,
      0.04176541398038318,
      0.04113076381891897,
      0.04050492743021525,
      0.03988778223137243,
      0.03927920721077295,
      0.038679083233026455,
      0.038087292835602395,
      0.03750372018466806,
      0.03692825096721948,
      0.036360772502067984,
      0.03580117370134466,
      0.0352493450348466,
      0.034705178509921594,
      0.034168567736947104,
      0.03363940768910266,
      0.033117594766401665,
      0.03260302680801478,
      0.03209560311338176,
      0.031595224351070504,
      0.03110179264155094,
      0.03061521143908704,
      0.030135385638021508,
      0.02966222138250477,
      0.029195626103589584,
      0.028735508580646156,
      0.02828177879143276,
      0.027834347973814972,
      0.027393128647729612,
      0.026958034419390528,
      0.02652898021587031,
      0.02610588218790408,
      0.025688657604451236,
      0.025277224872706335,
      0.024871503505067546,
      0.024471414192311393,
      0.024076878728616958,
      0.023687820010877436,
      0.02330416197214083,
      0.02292582952581964,
      0.02255274878065513,
      0.022184846814803517,
      0.02182205157515591,
      0.02146429216752029,
      0.021111498776234607,
      0.02076360241631858,
      0.020420535032097578,
      0.020082229593497276,
      0.019748619928646172,
      0.01941964089729277,
      0.01909522818655023,
      0.018775318408919474,
      0.018459849044572173,
      0.0181487584763972,
      0.017841985920253017,
      0.01753947138411492,
      0.017241155706321,
      0.016946982193576564,
      0.016656896850857597,
      0.01637084559317449,
      0.016088774091387894,
      0.015810628189098758,
      0.015536354071616298,
      0.015265898417776622,
      0.014999208489857042,
      0.014736232003056293,
      0.014476917397643027,
      0.014221213776655101,
      0.01396907098630244,
      0.01372043948273328,
      0.013475270398809127,
      0.013233515517823511,
      0.012995127306913877,
      0.012760058813311576,
      0.012528263881227705,
      0.012299696862325616,
      0.012074312812210485,
      0.011852067498704079,
      0.011632917126254434,
      0.011416818603387044,
      0.011203729399002858,
      0.010993607604436514,
      0.01078641195922608,
      0.010582101714591197,
      0.010380636616070629,
      0.01018197696642432,
      0.00998608376274562,
      0.009792918536943387,
      0.009602443249260406,
      0.009414620450861274,
      0.009229413187812736,
      0.009046784989610627,
      0.008866699967702226,
      0.00868912271296953,
      0.008514018290414625,
      0.008341352311938303,
      0.008171090763159064,
      0.008003200194470697,
      0.007837647589689934,
      0.007674400408299046,
      0.007513426514980713,
      0.0073546942506775076,
      0.007198172372035076,
      0.007043830062233983,
      0.006891637001109091,
      0.006741563315999369,
      0.006593579521699026,
      0.006447656481219343,
      0.0063037653994070676,
      0.006161878009161733,
      0.006021966409275914,
      0.005884003120527355,
      0.005747960996956495,
      0.005613813316243091,
      0.005481533764193703,
      0.005351096184993248,
      0.005222475076645729,
      0.005095645038912937,
      0.004970581061929156,
      0.004847258612538411,
      0.0047256534231931565,
      0.004605741606961248,
      0.0044874995380332055,
      0.0043709039818703105,
      0.004255932093034033,
      0.0041425613061636625,
      0.004030769254068259,
      0.003920533908722258,
      0.0038118335650120265,
      0.0037046468825183377,
      0.003598952801860195,
      0.0034947305636999866,
      0.0033919596018648027,
      0.0032906197553332,
      0.0031906911762531274,
      0.0030921540803366177,
      0.0029949889809105573,
      0.0028991769368111433,
      0.0028046991218019903,
      0.0027115369864149507,
      0.002619672120630006,
      0.002529086532060376,
      0.00243976237148433,
      0.0023516821240440956,
      0.002264828381014766,
      0.002179184045208092,
      0.002094732352830536,
      0.002011456585055918,
      0.0019293404222976793,
      0.0018483676319725121,
      0.0017685224374026165,
      0.0016897890613426045,
      0.0016121520204267646,
      0.0015355961025285238,
      0.001460106262486962,
      0.0013856676329918956,
      0.0013122655934809213,
      0.0012398856744661607,
      0.0011685135963260833,
      0.001098135423093971,
      0.0010287373041034749,
      0.0009603055532915363,
      0.0008928266145044668,
      0.0008262873326976638
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567060491442058,
      10.337812255990247,
      10.101207058758131,
      9.860131845670765,
      9.616950403377476,
      9.3737261507104,
      9.132235651966475,
      8.893936329121537,
      8.660002796046857,
      8.431330200174893,
      8.208535249098492,
      7.991971098287925,
      7.781753681941243,
      7.577797161186365,
      7.379853351635993,
      7.187549905758811,
      7.000426930325877,
      6.817970314767042,
      6.639650153533905,
      6.4649454553320815,
      6.2933553473548365,
      6.124422528172877,
      5.957750463281292,
      5.793005554681277,
      5.629925287364552,
      5.468322811913359,
      5.3080847062769365,
      5.149175068011913,
      4.991630758503871,
      4.835560618578347,
      4.681130014750954,
      4.528565244813259,
      4.378142347517361,
      4.230181159095592,
      4.0850548919973635,
      3.9431764275857644,
      3.804955941027756,
      3.6707854961300757,
      3.5410277871884186,
      3.4160065571398235,
      3.2959993545479622,
      3.181232412209218,
      3.0718757202237326,
      2.968044843759946,
      2.8697903317115405,
      2.777102455209719,
      2.6899062559822524,
      2.60807178216655,
      2.531432154512538,
      2.459764077598207,
      2.3928237448173357,
      2.3303445323953382,
      2.272027902918366,
      2.2175548719470224,
      2.1665673080536023,
      2.118674159815096,
      2.073512425781059,
      2.0307458266309233,
      1.990057640772793,
      1.9511680107879668,
      1.9138499205004509,
      1.8779261752200838,
      1.843255572711221,
      1.8097197195009804,
      1.7772161295343472,
      1.7456618512205462,
      1.714989550996177,
      1.6851433997288296,
      1.6560761296046562,
      1.6277469244245715,
      1.6001178947494308,
      1.5731535147269635,
      1.5468226137589807,
      1.5210975092400476,
      1.4959532246667941,
      1.4713669307659505,
      1.4473175433784942,
      1.4237854295445156,
      1.400752192207356,
      1.3782005077335553,
      1.356114718031977,
      1.334480567161608,
      1.3132847543119301,
      1.2925143251485187,
      1.2721565741371696,
      1.2521991296361383,
      1.232630004235279,
      1.2134376209785442,
      1.1946108250752943,
      1.1761388836162046,
      1.1580114790976932,
      1.140218698977843,
      1.1227514582256461,
      1.1056017418758557,
      1.0887620090141505,
      1.0722249525186325,
      1.0559831723724813,
      1.040030000429157,
      1.0243598102229743,
      1.0089667132711324,
      0.9938445587698796,
      0.9789870946396781,
      0.964388074433453,
      0.9500413271457031,
      0.9359408008493355,
      0.9220810182948378,
      0.9084581570631168,
      0.8950682916811816,
      0.8819070631812134,
      0.8689698771266987,
      0.8562520352533359,
      0.8437488218350047,
      0.8314555593349131,
      0.8193676443786019,
      0.8074805696529288,
      0.7957899372511212,
      0.7842914654518784,
      0.7729809911574966,
      0.7618544704046917,
      0.7509079773459116,
      0.7401377013270015,
      0.7295399437410229,
      0.7191111148832553,
      0.7088477302407303,
      0.698746406765608,
      0.6888038591686098,
      0.6790168961906933,
      0.6693824173688127,
      0.6598974094604709,
      0.6505589042479096,
      0.6413639788367725,
      0.6323098108248764,
      0.6233936727380387,
      0.6146129223465712,
      0.605964995674201,
      0.5974469698128672,
      0.5890557289896412,
      0.5807884555832095,
      0.5726425596326222,
      0.5646156231506145,
      0.5567053614937051,
      0.5489095962976254,
      0.5412262367855466,
      0.5336532663047622,
      0.5261887326166222,
      0.5188307413148452,
      0.5115774499998913,
      0.5044270645783293,
      0.4973778360872111,
      0.4904280582989536,
      0.48357606567958494,
      0.4768202314502317,
      0.47015896598567547,
      0.4635907156312085,
      0.45711396112991626,
      0.45072721658011966,
      0.44442902847123367,
      0.43821797470049484,
      0.4320926634748003,
      0.42605173215196646,
      0.42009384673760936,
      0.4142177009486601,
      0.40842201517770255,
      0.40270553612549603,
      0.39706703578171626,
      0.3915053105464398,
      0.386019180901471,
      0.3806074906692189,
      0.3752691060895338,
      0.37000291548146047,
      0.36480782854995825,
      0.3596827362786043,
      0.35462631967399066,
      0.34963725223605613,
      0.34471432908655153,
      0.33985643436440927,
      0.3350625184904438,
      0.33033175797582776,
      0.3256635080013904,
      0.3210570853379704,
      0.31651176881657095,
      0.3120268709467453,
      0.30760224758843896,
      0.3032378483433834,
      0.2989333461160675,
      0.2946882330277385,
      0.2905018843735373,
      0.2863736013743412,
      0.28230264017090606,
      0.2782882416547359,
      0.27432972248999526,
      0.2704264188545216,
      0.26657762386326955,
      0.2627826823366678,
      0.2590412348782488,
      0.25535289186638976,
      0.2517171056058313,
      0.24813323103320886,
      0.2446005865830468,
      0.24111847008776296,
      0.23768616963575254,
      0.23430297063474168,
      0.23096816077449178,
      0.22768103292180017,
      0.22444088714310234,
      0.221247032066403,
      0.2180987857296063,
      0.21499540779359372,
      0.2119361315122495,
      0.20892023801002535,
      0.2059470439247508,
      0.2030158929256413,
      0.20012614992315417,
      0.19727719717293815,
      0.19446843166262526,
      0.19169926318694344,
      0.18896911307903116,
      0.18627741313575294,
      0.18362360505196837,
      0.18100713989138797,
      0.17842747779601334,
      0.17588408752686488,
      0.17337644619076426,
      0.17090403917184896,
      0.16846635972075918,
      0.1660629089453281,
      0.1636931956553643,
      0.1613567361001837,
      0.15905305392205307,
      0.15678168008493082,
      0.15454215254255596,
      0.15233401626854587,
      0.1501568230895204,
      0.14801013163858454,
      0.14589350711793175,
      0.14380652120685425,
      0.1417487520390017,
      0.1397197839564036,
      0.1377192075741511,
      0.1357466195511397,
      0.13380162255078445,
      0.13188382505378743,
      0.12999284132863909,
      0.12812829139361373,
      0.126289800869149,
      0.12447700087293778,
      0.12268952793171567,
      0.12092702392931017,
      0.11918913593741451,
      0.1174755161583111,
      0.11578582193446264,
      0.11411971557764083,
      0.11247686427729393,
      0.11085694019004781,
      0.10925962016386268,
      0.10768458566178973,
      0.10613152275165712,
      0.10460012218737487,
      0.10309007911138914,
      0.10160109313424892,
      0.1001328681492989,
      0.09868511221879957,
      0.09725753777989958,
      0.09584986135596228,
      0.09446180353669714,
      0.09309308888296312,
      0.09174344585782518,
      0.09041260687294271,
      0.08910030820239546,
      0.08780628989052058,
      0.08653029570491118,
      0.08527207307065547,
      0.08403137297601096,
      0.08280794990309395,
      0.08160156190503422,
      0.08041197039913558,
      0.07923894038308729,
      0.07808224008442557,
      0.07694164102922037,
      0.07581691799812929,
      0.07470784896877933,
      0.07361421499969077,
      0.07253580033206411,
      0.071472392242296,
      0.0704237810325213,
      0.06938975996877825,
      0.06837012516943483,
      0.06736467564709935,
      0.0663732133867774,
      0.06539554311960956,
      0.06443147224391597,
      0.06348081095926673,
      0.06254337218532628,
      0.06161897127730251,
      0.06070742630102478,
      0.059808558025227165,
      0.05892218961525157,
      0.058048146685767896,
      0.057186257349685785,
      0.05633635223516184,
      0.055498264225729226,
      0.054671828568215834,
      0.053856882833530156,
      0.05305326692133142,
      0.05226082289849403,
      0.05147939508762753,
      0.05070882997905979,
      0.04994897630082657,
      0.04919968486515241,
      0.04846080843500721,
      0.04773220200883217,
      0.04701372250570949,
      0.04630522894170758,
      0.04560658228645412,
      0.04491764546370987,
      0.04423828325142998,
      0.04356836231290143,
      0.04290775128907446,
      0.04225632056441846,
      0.041613942383063346,
      0.04098049071735001,
      0.0403558413913867,
      0.03973987190609486,
      0.03913246147756298,
      0.038533491056435026,
      0.03794284327436164,
      0.037360402301779935,
      0.03678605393386077,
      0.036219685584424365,
      0.03566118624114433,
      0.035110446407993386,
      0.034567358193692554,
      0.034031815179875365,
      0.0335037124768839,
      0.03298294665151337,
      0.03246941556795505,
      0.031963018676435695,
      0.03146365673808506,
      0.03097123192731021,
      0.030485647799562372,
      0.030006809200645825,
      0.029534622496427236,
      0.02906899519077643,
      0.02860983599367603,
      0.02815705499228275,
      0.027710563592123993,
      0.027270274329638272,
      0.026836101032922426,
      0.02640795863734677,
      0.02598576324714644,
      0.02556943232268349,
      0.02515888434483458,
      0.02475403887769239,
      0.024354816730819392,
      0.023961139764126654,
      0.02357293096364185,
      0.023190114235411518,
      0.022812614654864585,
      0.022440358338847565,
      0.0220732724363656,
      0.02171128504039643,
      0.02135432532142662,
      0.021002323510986097,
      0.020655210687283092,
      0.020312918839246005,
      0.019975381108996906,
      0.01964253132002996,
      0.019314304443221398,
      0.018990636176606172,
      0.018671463234255295,
      0.01835672315549868,
      0.01804635421925095,
      0.017740295768311445,
      0.017438487977979422,
      0.017140871780786535,
      0.01684738992571213,
      0.01655798842739576,
      0.016272613472549283,
      0.015991210910618572,
      0.0157137268237553,
      0.015440107576426734,
      0.01517029993568577,
      0.01490425111062003,
      0.01464190899076764,
      0.014383222157937185,
      0.014128139716364561,
      0.01387661157683677,
      0.01362858829169539,
      0.01338402107739675,
      0.013142861731514955,
      0.01290506279968257,
      0.012670577427741678,
      0.01243935945156289,
      0.012211363381262873,
      0.011986544286497522,
      0.011764857881034294,
      0.011546260507945334,
      0.011330709127546766,
      0.011118161345682541,
      0.01090857527280992,
      0.010701909633347563,
      0.01049812368002297,
      0.01029717730120174,
      0.010099030888853146,
      0.009903645418659728,
      0.009710982475084418,
      0.009521004074897857,
      0.009333672760152942,
      0.009148951712038545,
      0.008966804561714756,
      0.008787195451163316,
      0.008610089026298687,
      0.008435450393476063,
      0.00826324519891403,
      0.00809343943017451,
      0.007925999740843428,
      0.0077608931923844465,
      0.007598087162896664,
      0.007437549677508983,
      0.007279249142643978,
      0.007123154311028124,
      0.0069692344773318315,
      0.006817459319367663,
      0.006667798855420558,
      0.006520223733860528,
      0.006374704920623487,
      0.006231213718731088,
      0.006089721891223068,
      0.005950201664772457,
      0.0058126254425070354,
      0.005676966147450315,
      0.00554319712890582,
      0.005411291980656652,
      0.005281224750387822,
      0.005152969761300624,
      0.005026501867274968,
      0.004901796125099759,
      0.004778828027470155,
      0.004657573311123148,
      0.004538008116363812,
      0.00442010889957849,
      0.004303852499854439,
      0.0041892160226946135,
      0.004076176788220429,
      0.0039647126304041885,
      0.0038548015934025677,
      0.0037464220301521014,
      0.0036395524791235385,
      0.0035341719872989787,
      0.003430259824152255,
      0.0033277955847768807,
      0.0032267590591786546,
      0.0031271303116357165,
      0.0030288896916665507,
      0.002932017890536598,
      0.0028364958207205983,
      0.0027423046937830936,
      0.0026494260102709996,
      0.0025578414551106266,
      0.0024675330422345098,
      0.002378482910275801,
      0.0022906734940655645,
      0.002204087583032303,
      0.0021187080627605814,
      0.0020345182740708007,
      0.0019515015656800996,
      0.0018696415918604205,
      0.0017889222479693313,
      0.001709327670871543,
      0.001630842113172364,
      0.0015534500656671105,
      0.001477136349316708,
      0.0014018858965154084,
      0.0013276839528991494,
      0.0012545159110862727,
      0.0011823674060342422,
      0.001111224156994747,
      0.0010410721339967662,
      0.0009718975981384601,
      0.0009036869332610992,
      0.0008364267132985183,
      0.0007701036623643232
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567052874309871,
      10.33778685427677,
      10.101156068429049,
      9.860050008077316,
      9.616834158479497,
      9.373572913146948,
      9.132044079915728,
      8.893706141672105,
      8.659734207173473,
      8.431023741390671,
      8.20819159717172,
      7.991590945563852,
      7.781337644572253,
      7.5773457226631455,
      7.379366830950218,
      7.187028457044992,
      6.999870405572556,
      6.81737843566623,
      6.6390226537301364,
      6.464282218260995,
      6.292656419997701,
      6.12368820711402,
      5.956981312052077,
      5.792202420493244,
      5.629089313031736,
      5.46745548418779,
      5.30718790255913,
      5.148251118126888,
      4.990682444291896,
      4.834591067104329,
      4.68014261508314,
      4.527563874343171,
      4.377131393160157,
      4.229165319457284,
      4.084039667058921,
      3.9421675669656495,
      3.8039589844754262,
      3.6698056752891777,
      3.540069936580315,
      3.4150750361564346,
      3.2950980976590016,
      3.1803648174455836,
      3.071044487567191,
      2.967251855625412,
      2.8690367036049946,
      2.7763884627877697,
      2.6892311663211226,
      2.6074343426414592,
      2.5308304126747525,
      2.4591953757887897,
      2.3922854637925983,
      2.329833784206069,
      2.271541483125498,
      2.217089431250981,
      2.166118994028222,
      2.118239139508301,
      2.0730873171282242,
      2.030327362560649,
      1.9896430082210423,
      1.9507549813709404,
      1.9134368557666184,
      1.8775118772718804,
      1.8428391306719947,
      1.8093003223002913,
      1.7767931586431074,
      1.7452348942081393,
      1.7145583432384737,
      1.6847077814443188,
      1.6556360161345662,
      1.6273022844321556,
      1.5996687585063645,
      1.572699941506115,
      1.5463646722186508,
      1.5206352748298608,
      1.4954867770196207,
      1.470896351890554,
      1.4468429165505354,
      1.4233068385890117,
      1.4002697205600874,
      1.3777142478077054,
      1.355624778385177,
      1.3339870680027457,
      1.3127878230566268,
      1.2920140725297695,
      1.2716530983086547,
      1.2516925205412983,
      1.2321203458502383,
      1.2129249926484398,
      1.1940953021964809,
      1.1756205383747804,
      1.1574903816194209,
      1.1396949181258762,
      1.122225090890751,
      1.1050728922084228,
      1.0882307812188585,
      1.0716914381082099,
      1.0554474528260636,
      1.0394923139562549,
      1.0238204061109435,
      1.00842577794166,
      0.9933022352726042,
      0.9784434964740937,
      0.9638432947365555,
      0.9494954445293294,
      0.9353938843905445,
      0.9215333608773915,
      0.9079101019853415,
      0.8945200804395984,
      0.8813588686187971,
      0.8684218256856447,
      0.8557042219929771,
      0.8432013204330816,
      0.8309084290765282,
      0.8188209347585516,
      0.806934323669992,
      0.7952441934526838,
      0.7837462587843732,
      0.7724363544566242,
      0.7613104351554172,
      0.7503645736380633,
      0.7395949584058364,
      0.7289978903146477,
      0.718569778882551,
      0.708307139278755,
      0.6982065881263554,
      0.6882648396063555,
      0.6784787022772627,
      0.6688450753457142,
      0.6593609452843555,
      0.6500233415136228,
      0.6408293407538858,
      0.6317761210634804,
      0.6228609549441281,
      0.614081200157297,
      0.6054342925972197,
      0.5969173477156301,
      0.5885272534299868,
      0.5802611779478927,
      0.5721165215527808,
      0.564090859378063,
      0.5561819019076756,
      0.5483874677106483,
      0.5407054636635298,
      0.5331338714218843,
      0.5256707375957114,
      0.5183141664448784,
      0.5110623148567296,
      0.5039133881277532,
      0.4968656368052479,
      0.4899173542588248,
      0.4830668742751414,
      0.47631256964585605,
      0.4696528503041687,
      0.4630861621606297,
      0.45661098554832213,
      0.450225834403198,
      0.44392925478486917,
      0.4377198241417793,
      0.431596150180859,
      0.42555687003305137,
      0.41960064931220603,
      0.4137261812998566,
      0.4079321861584712,
      0.40221741002396827,
      0.39658062448942866,
      0.3910206257466595,
      0.3855362338964145,
      0.38012629225250505,
      0.37478966674471875,
      0.3695252453969384,
      0.3643319375275156,
      0.3592086242787816,
      0.3541539730596068,
      0.349166664832396,
      0.3442454996597778,
      0.33938936485486004,
      0.3345972427219958,
      0.3298683843198035,
      0.3252021295464645,
      0.32059777525139443,
      0.31605457734993864,
      0.31157191368789616,
      0.30714974337707107,
      0.30278794064831044,
      0.29848612794415474,
      0.2942437635032858,
      0.2900601995291746,
      0.285934721711293,
      0.28186657574224033,
      0.2778550052703549,
      0.2738993336538122,
      0.26999888622702634,
      0.26615294911081955,
      0.26236087894008236,
      0.2586223364476595,
      0.2549369161847552,
      0.2513040890723954,
      0.24772323996207474,
      0.24419367308018405,
      0.24071466240426265,
      0.23728548004366046,
      0.23390540074616104,
      0.23057370493569956,
      0.22728968062400362,
      0.22405262461127945,
      0.22086184337613465,
      0.21771664889095485,
      0.2146162926357444,
      0.2115600111542468,
      0.2085470880488841,
      0.20557684162018316,
      0.20264861664426373,
      0.1997617788523737,
      0.19691571115121698,
      0.19410981083284595,
      0.19134348789095776,
      0.18861616396828165,
      0.18592727100167653,
      0.18327625087243493,
      0.18066255472377102,
      0.1780856426695664,
      0.17554498342296665,
      0.17304005416193316,
      0.17057034030710336,
      0.16813533525690635,
      0.16573454008505625,
      0.16336746362603202,
      0.16103362228177018,
      0.15873253972683987,
      0.1564637469256955,
      0.15422678195888015,
      0.1520211898747197,
      0.14984652261126813,
      0.1477023387394515,
      0.145588203453764,
      0.1435036884860853,
      0.14144837198701876,
      0.13942183848298048,
      0.13742367866086833,
      0.13545348916428465,
      0.13351087262982558,
      0.13159543774120291,
      0.1297067989769674,
      0.12784457632490934,
      0.1260083954585127,
      0.12419788742796077,
      0.12241268885779087,
      0.12065244158912242,
      0.11891679286643099,
      0.11720539496862245,
      0.11551790531419058,
      0.11385398637278628,
      0.11221330540220781,
      0.110595534505957,
      0.10900035058595557,
      0.10742743527883314,
      0.10587647473605906,
      0.10434715973075848,
      0.10283918551266744,
      0.1013522516777612,
      0.09988606227544183,
      0.09844032549149817,
      0.09701475375856047,
      0.09560906365193826,
      0.09422297578698927,
      0.09285621487630116,
      0.09150850959145082,
      0.0901795923744273,
      0.08886919949757949,
      0.08757707111152759,
      0.0863029510073971,
      0.0850465866112806,
      0.08380772905522711,
      0.08258613301308781,
      0.08138155663152334,
      0.08019376142876188,
      0.07902251240592496,
      0.07786757784276595,
      0.07672872935354282,
      0.07560574183390205,
      0.07449839330801891,
      0.0734064650066274,
      0.07232974124678529,
      0.07126800937990245,
      0.07022105984619648,
      0.06918868587470724,
      0.06817068375311328,
      0.06716685270169137,
      0.0661769947070464,
      0.06520091448692662,
      0.06423841956367327,
      0.06328932019512812,
      0.062353429344341994,
      0.06143056259582985,
      0.060520538179976845,
      0.05962317685452658,
      0.05873830183377182,
      0.057865738885759986,
      0.05700531616866104,
      0.05615686419699651,
      0.05532021607418785,
      0.0544952072546401,
      0.053681675397269646,
      0.05287946037672426,
      0.05208840432529111,
      0.05130835175325725,
      0.05053914927086484,
      0.049780645627101466,
      0.04903269171176257,
      0.048295140463739186,
      0.04756784692424191,
      0.046850668154247245,
      0.04614346314738192,
      0.045446093077519546,
      0.04475842087723032,
      0.044080311433660306,
      0.043411631521214064,
      0.04275224978954899,
      0.04210203674563601,
      0.04146086476211288,
      0.04082860786388081,
      0.04020514188345415,
      0.039590344460911336,
      0.038984094987446295,
      0.03838627438996982,
      0.03779676535755347,
      0.03721545217047741,
      0.03664222075183914,
      0.03607695857901873,
      0.035519554760163316,
      0.03496989992316725,
      0.03442788621180469,
      0.03389340738049802,
      0.033366358455837734,
      0.03284663606182439,
      0.032334138280182896,
      0.03182876455791923,
      0.03133041579815795,
      0.030838994316479063,
      0.030354403745858023,
      0.02987654890170176,
      0.029405336167184746,
      0.028940673190747564,
      0.02848246887855978,
      0.028030633343658,
      0.02758507798699656,
      0.0271457154502052,
      0.02671245964926554,
      0.026285225647824647,
      0.025863929757416235,
      0.02544848929929634,
      0.02503882287273332,
      0.02463485016986419,
      0.02423649198604984,
      0.023843670138833418,
      0.023456307817417588,
      0.023074329090829834,
      0.022697659088052845,
      0.02232622396580058,
      0.02195995091817042,
      0.021598768235327477,
      0.021242605111584812,
      0.020891391826284647,
      0.020545059547009296,
      0.02020354034631742,
      0.019866767260038668,
      0.01953467432397823,
      0.01920719654453438,
      0.01888426979041995,
      0.018565830751248156,
      0.018251816944036783,
      0.017942166888150292,
      0.017636819966139115,
      0.017335716377056543,
      0.01703879711191844,
      0.01674600465748864,
      0.016457284749293383,
      0.0161725837986506,
      0.015891848021624223,
      0.015615023520826938,
      0.015342056735540219,
      0.015072894562459874,
      0.01480748447204904,
      0.014545774366157857,
      0.014287712895289595,
      0.014033249244473784,
      0.013782333392198559,
      0.013534916054047446,
      0.013290948381309703,
      0.01305038226569018,
      0.012813170309586907,
      0.012579265722886661,
      0.012348622387647758,
      0.012121194772461081,
      0.011896938065716628,
      0.011675808088739501,
      0.011457761281696925,
      0.011242754678976612,
      0.011030745842363228,
      0.010821692859948481,
      0.01061555457623863,
      0.010412290405096768,
      0.010211860259721537,
      0.010014224656087835,
      0.009819344596313931,
      0.009627181606293165,
      0.009437697877526402,
      0.009250856093303042,
      0.00906661932676517,
      0.008884951303199823,
      0.008705816066766738,
      0.008529178354810747,
      0.008355003459426677,
      0.008183256983038633,
      0.008013905059798132,
      0.007846914241733062,
      0.007682251634691125,
      0.00751988481355167,
      0.0073597818096863546,
      0.00720191099187426,
      0.00704624133659104,
      0.006892742045269371,
      0.006741382868937147,
      0.0065921338938318775,
      0.006444965793138882,
      0.006299849501946831,
      0.006156756325844851,
      0.00601565820984697,
      0.005876527348481601,
      0.0057393362292828395,
      0.005604057855686439,
      0.005470665583718344,
      0.005339133081068447,
      0.005209434363690651,
      0.005081543986443816,
      0.0049554366505002835,
      0.004831087473157378,
      0.0047084719281955826,
      0.004587565915062035,
      0.004468345562462031,
      0.004350787351000843,
      0.004234868116186688,
      0.004120565014818332,
      0.004007855594430977,
      0.0038967176859292943,
      0.003787129291111578,
      0.003679068770035463,
      0.0035725147558803177,
      0.003467446300210202,
      0.0033638426952049085,
      0.003261683557836551,
      0.003160948768907271,
      0.0030616184259625867,
      0.0029636729558508395,
      0.0028670929871437226,
      0.002771859534369779,
      0.0026779537778927115,
      0.0025853572189515474,
      0.0024940516641518006,
      0.0024040191476277497,
      0.002315241885971856,
      0.002227702392938008,
      0.0021413833026156996,
      0.0020562676321139043,
      0.0019723386638871043,
      0.0018895798229467435,
      0.0018079747581302315,
      0.0017275073094994912,
      0.001648161782243888,
      0.0015699226116119615,
      0.0014927742124997336,
      0.0014167013954940653,
      0.0013416892181624888,
      0.0012677228945994414,
      0.0011947878455379596,
      0.0011228696729305235,
      0.001051954128731387,
      0.0009820271927417363,
      0.0009130751192041306,
      0.0008450844020510985,
      0.0007780415817578058,
      0.0007119335298321955
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56704533876158,
      10.337761677354242,
      10.101105414739061,
      9.85996858472497,
      9.61671837538965,
      9.373420069090592,
      9.131852830398204,
      8.89347620429953,
      8.659465796643707,
      8.430717390441734,
      8.20784798243108,
      7.991210761958913,
      7.780921509431368,
      7.576894121104653,
      7.378880084221907,
      7.18650671865793,
      6.9993135283646755,
      6.816786144222563,
      6.638394684593709,
      6.463618435554466,
      6.291956872851829,
      6.122953195346438,
      5.956211401648203,
      5.791398460311866,
      5.628252449627932,
      5.466587206837631,
      5.3062900911179955,
      5.14732610669273,
      4.989733017718604,
      4.833620356587258,
      4.67915401269625,
      4.526561258501773,
      4.376119161337176,
      4.228148196034167,
      4.083023178156232,
      3.9411574570883703,
      3.802960789269066,
      3.6688246228573003,
      3.539110857035709,
      3.4141422842530273,
      3.2941956185091374,
      3.17949600414026,
      3.070212034911972,
      2.9664576416698947,
      2.868281841656712,
      2.775673226975416,
      2.6885547866707777,
      2.6067955373420935,
      2.53022703140204,
      2.458624800861091,
      2.3917451119295743,
      2.329320801202573,
      2.271052697693506,
      2.21662152564311,
      2.1656681457590174,
      2.1178015430276846,
      2.072659612761939,
      2.029906302034241,
      1.9892257939142404,
      1.9503393972494756,
      1.9130212718121742,
      1.877095101427856,
      1.8424202555735216,
      1.8088785390895423,
      1.7763678495669224,
      1.7448056465481634,
      1.7141248910875777,
      1.6842699645410597,
      1.6551937489396946,
      1.6268555339377782,
      1.5992175532507602,
      1.572244339185626,
      1.5459047406461424,
      1.5201710880830044,
      1.4950184133038482,
      1.4704238922528625,
      1.446366442714167,
      1.4228264325521904,
      1.3997854643289587,
      1.3772262338406387,
      1.3551331146334362,
      1.3334918815158872,
      1.3122892367302725,
      1.2915121933300675,
      1.2711480228054122,
      1.2511843368923712,
      1.2316091357449583,
      1.2124108333605512,
      1.1935782680332576,
      1.1751007012680073,
      1.1569678111615145,
      1.1391696819148445,
      1.1216972849936604,
      1.1045426220247685,
      1.0876981506713517,
      1.0711565376133778,
      1.054910363125048,
      1.038953272627626,
      1.0232796626845664,
      1.0078835187906976,
      0.9927586031621761,
      0.9778986041322492,
      0.9632972345524031,
      0.9489482947999571,
      0.9348457132958873,
      0.9209844855737742,
      0.9073608570530293,
      0.8939707018409232,
      0.8808095251532274,
      0.8678726409817966,
      0.8551552889631001,
      0.8426527112208336,
      0.8303602017895232,
      0.8182731382736963,
      0.8063870002662297,
      0.7946973806519347,
      0.7831999910661105,
      0.771890664239534,
      0.7607653533286193,
      0.7498201299743499,
      0.7390511818835519,
      0.7284548090438278,
      0.7180274208569689,
      0.7077655319707206,
      0.6976657584514193,
      0.6877248143583773,
      0.6779395078910712,
      0.6683067378269989,
      0.6588234903054525,
      0.6494867925398966,
      0.6402937205629204,
      0.6312414526157242,
      0.6223272615840043,
      0.6135485051697138,
      0.604902619366255,
      0.5963867579595087,
      0.5879978124814056,
      0.5797329367392349,
      0.5715895212598818,
      0.5635651346259402,
      0.5556574827521419,
      0.5478643807580968,
      0.5401837331979485,
      0.5326135201100339,
      0.5251517866968706,
      0.5177966361872672,
      0.5105462247020005,
      0.5033987569250948,
      0.4963524827837729,
      0.4894056950380355,
      0.4825567271978037,
      0.47580395144214993,
      0.46914577746121744,
      0.462580650648821,
      0.4561070510500052,
      0.44972349215301066,
      0.44342851960707913,
      0.4372207105319557,
      0.43109867233085086,
      0.4250610417226234,
      0.41910648382035903,
      0.41323369146220024,
      0.407441384571378,
      0.40172830896380485,
      0.3960932358008339,
      0.3905349609287873,
      0.38505230403135476,
      0.37964410818299027,
      0.3743092388649518,
      0.36904658366748866,
      0.3638550517396922,
      0.35873351424316857,
      0.35368062484956475,
      0.3486950720209489,
      0.3437756610006316,
      0.33892128243972924,
      0.33413097073353965,
      0.32940403777611255,
      0.3247397941655639,
      0.3201375177403963,
      0.31559644327916525,
      0.3111160667355343,
      0.30669638261296794,
      0.3023371964897203,
      0.29803808482441835,
      0.2937984744860291,
      0.28961769665646997,
      0.28549502284955425,
      0.2814296890959362,
      0.27742094240197923,
      0.27346811332708265,
      0.2695705168670511,
      0.2657274319139193,
      0.26193823996846566,
      0.2582026044571045,
      0.254520105568091,
      0.25089020426721087,
      0.2473122850694786,
      0.24378568506938417,
      0.2403096994713231,
      0.23688358072300386,
      0.23350658428494453,
      0.23017797752774435,
      0.2268970397226106,
      0.22366306184581036,
      0.2204753465542648,
      0.2173331978932481,
      0.21423585845229567,
      0.2111825680083029,
      0.20817261227120157,
      0.2052053108493973,
      0.20228000961590753,
      0.1993960749617124,
      0.19655289015686497,
      0.19374985305663864,
      0.19098637385899966,
      0.18826187411502818,
      0.18557578603419067,
      0.18292755156158955,
      0.18031662193661271,
      0.1777424572737248,
      0.17520452648240734,
      0.17270230678895396,
      0.17023528365388074,
      0.16780295042314206,
      0.16540480830433427,
      0.16304036617218767,
      0.16070914052701785,
      0.1584106551043142,
      0.15614444083388918,
      0.1539100358561451,
      0.15170698521414377,
      0.14953484088308078,
      0.14739316155735385,
      0.14528151253282934,
      0.14319946562678362,
      0.1411465990336625,
      0.13912249725620293,
      0.13712675099118796,
      0.13515895706519054,
      0.1332187181846161,
      0.1313056430533135,
      0.12941934610062877,
      0.12755944742447417,
      0.12572557282741598,
      0.12391735356513457,
      0.12213442611186918,
      0.12037643243784789,
      0.11864301982074071,
      0.11693384059738972,
      0.1152485523070087,
      0.11358681739914503,
      0.11194830318025249,
      0.11033268194760824,
      0.10873963065584649,
      0.10716883102519235,
      0.10561996936598325,
      0.10409273641873246,
      0.10258682746304428,
      0.10110194223806987,
      0.09963778476354812,
      0.09819406337245845,
      0.09677049056728645,
      0.09536678305586914,
      0.09398266157263291,
      0.09261785075804839,
      0.09127207935688503,
      0.08994507997260003,
      0.08863658898128411,
      0.0873463465926132,
      0.0860740966437589,
      0.08481958673727165,
      0.08358256811838516,
      0.08236279549205908,
      0.08116002698258087,
      0.07997402433445479,
      0.07880455251195584,
      0.07765137994658022,
      0.07651427833243563,
      0.07539302263051502,
      0.07428739097336133,
      0.07319716469873255,
      0.07212212815341952,
      0.07106206886390239,
      0.07001677721266607,
      0.06898604662811847,
      0.0679696734794165,
      0.06696745693172054,
      0.06597919911675831,
      0.06500470497407822,
      0.06404378211839094,
      0.0630962408504223,
      0.062161894190419294,
      0.06124055781342474,
      0.06033204999442093,
      0.05943619154735394,
      0.058552805789417205,
      0.05768171867019056,
      0.056822758472147766,
      0.05597575591072341,
      0.05514054404648664,
      0.05431695832044344,
      0.053504836499776956,
      0.05270401864479267,
      0.051914347110215565,
      0.051135666319592356,
      0.05036782291003731,
      0.04961066576146541,
      0.04886404580170857,
      0.048127816144310435,
      0.047401831900474936,
      0.04668595018896257,
      0.04598003017006428,
      0.04528393302986585,
      0.044597521765305966,
      0.043920661367520215,
      0.04325321873929488,
      0.042595062654580546,
      0.041946063658447844,
      0.04130609420928325,
      0.04067502847177961,
      0.040052742390245824,
      0.03943911360326402,
      0.038834021482334044,
      0.03823734717104369,
      0.03764897344308407,
      0.03706878468782053,
      0.03649666684761921,
      0.03593250759012421,
      0.035376196058015306,
      0.03482762292975617,
      0.03428668042558076,
      0.03375326226866251,
      0.033227263769881436,
      0.03270858154951216,
      0.03219711371265584,
      0.031692759909318566,
      0.031195421130348167,
      0.030704999657839984,
      0.030221399173266026,
      0.02974452475971204,
      0.02927428285547308,
      0.028810581082259305,
      0.028353328466497015,
      0.02790243521071284,
      0.027457812889753592,
      0.027019374174969333,
      0.026587032950612197,
      0.026160704390731652,
      0.025740304805378804,
      0.02532575172688587,
      0.02491696372693919,
      0.024513860708974947,
      0.02411636351823973,
      0.023724394102885266,
      0.023337875583681743,
      0.022956732137677998,
      0.022580889025808758,
      0.022210272452990384,
      0.02184480966736202,
      0.02148442894394051,
      0.021129059577537686,
      0.020778631829949327,
      0.020433077022792824,
      0.020092327376502468,
      0.01975631605659357,
      0.019424977115428267,
      0.019098245609191596,
      0.01877605736258449,
      0.018458349188057,
      0.018145058829063993,
      0.01783612483701541,
      0.017531486546858988,
      0.017231084290814738,
      0.016934859202752273,
      0.01664275343913224,
      0.016354712356464598,
      0.016070682751690588,
      0.015790610949002304,
      0.015514443359180508,
      0.015242126574901236,
      0.014973607530219191,
      0.014708833744143925,
      0.01444775327394569,
      0.014190314835784335,
      0.01393646780096411,
      0.013686162048142396,
      0.013439348275775696,
      0.013195977751468765,
      0.012956002445333958,
      0.01271937504525814,
      0.012486048872901286,
      0.012255977872553272,
      0.012029116697571174,
      0.011805420456273372,
      0.011584845025654286,
      0.011367346808201862,
      0.011152882891813425,
      0.010941411027720676,
      0.010732889413844671,
      0.010527276887165128,
      0.010324532806597031,
      0.010124617217964904,
      0.00992749066551092,
      0.009733114196235007,
      0.009541449480434273,
      0.00935245863588725,
      0.009166104276536864,
      0.008982349677395305,
      0.0088011585159778,
      0.008622495054192,
      0.008446324112476197,
      0.008272611002043854,
      0.008101321299466878,
      0.007932421150512898,
      0.007765877264692448,
      0.007601656701625496,
      0.007439727098328562,
      0.0072800565166717185,
      0.007122613457887625,
      0.006967366897961399,
      0.0068142861468687265,
      0.006663341052782402,
      0.006514501737005104,
      0.00636773876962565,
      0.006223023231921793,
      0.006080326583997459,
      0.005939620628925371,
      0.005800877548453042,
      0.005664069971980739,
      0.005529170932650206,
      0.005396153831597155,
      0.005264992358827926,
      0.005135660619136771,
      0.0050081330811773545,
      0.004882384528237987,
      0.00475839018829066,
      0.004636125624093271,
      0.004515566783344863,
      0.004396689821701935,
      0.004279471206471053,
      0.00416388786595358,
      0.004049916977822331,
      0.003937536019688024,
      0.0038267227824518102,
      0.0037174554864956165,
      0.0036097125374006498,
      0.00350347263189586,
      0.003398714865033756,
      0.003295418508157882,
      0.0031935632013238738,
      0.0030931288476335563,
      0.0029940955980560127,
      0.002896443856298613,
      0.002800154284436631,
      0.002705208045112332,
      0.0026115863204838738,
      0.002519270626395008,
      0.002428242765133243,
      0.0023384848369507345,
      0.0022499790677220485,
      0.0021627080383430693,
      0.0020766544509169455,
      0.0019918013470189596,
      0.0019081319585478244,
      0.0018256296990505018,
      0.0017442784040830848,
      0.0016640619430937347,
      0.0015849644934221843,
      0.0015069704908983075,
      0.0014300645687229747,
      0.0013542314652510612,
      0.0012794562250568828,
      0.0012057240890915864,
      0.0011330205196353337,
      0.0010613312323114548,
      0.0009906420507284042,
      0.0009209390545713321,
      0.0008522084422115314,
      0.0007844365336997023,
      0.0007176100479497456,
      0.0006517159042702755
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567037969942733,
      10.33773693383981,
      10.101055380339826,
      9.859887900529639,
      9.616603394585226,
      9.373268048065055,
      9.131662394176587,
      8.893247044801925,
      8.659198105193292,
      8.43041168073894,
      8.207504915990675,
      7.990831020718527,
      7.780505701539711,
      7.5764427244693495,
      7.378393415763086,
      7.185984930044399,
      6.998756470269793,
      6.816193539231317,
      6.637766267922491,
      6.462954061710544,
      6.2912565931417985,
      6.122217312177858,
      5.955440483631211,
      5.79059335942954,
      5.62741431555645,
      5.465717531475442,
      5.305390757063979,
      5.14639945105414,
      4.988781830117602,
      4.83264777177735,
      4.678163426458321,
      4.5255565525357655,
      4.375104749799677,
      4.227128845325369,
      4.082004455285563,
      3.940145105120309,
      3.8019603411440315,
      3.6678413049595653,
      3.538149498473768,
      3.4132072389401684,
      3.29329083106823,
      3.1786248667206105,
      3.069377262426092,
      2.9656611292612958,
      2.867524698315081,
      2.7749557237073263,
      2.687876113178372,
      2.606154379001871,
      2.529621241605667,
      2.458051770110984,
      2.3912022644470152,
      2.3288052906364163,
      2.2705613609964552,
      2.216151052653473,
      2.16521472261981,
      2.1173613724802602,
      2.0722293415328275,
      2.029482689099834,
      1.9888060486817074,
      1.949921307779037,
      1.9126032112223168,
      1.8766758792903921,
      1.8419989655700584,
      1.8084543729669755,
      1.7759401899263982,
      1.7443740809409238,
      1.7136891532966123,
      1.6838298931243385,
      1.6547492571854565,
      1.626406588196011,
      1.5987641812490607,
      1.5717865978062602,
      1.5454426961846663,
      1.5197048137814784,
      1.494547986512746,
      1.4699493925958855,
      1.4458879510517881,
      1.4223440303354562,
      1.3992992324768148,
      1.376736264159032,
      1.3546395137961085,
      1.332994775643675,
      1.3117887478916739,
      1.2910084280275076,
      1.2706410764462295,
      1.2506742966950086,
      1.2310960829421627,
      1.211894845308815,
      1.1930594180404608,
      1.1745790602061175,
      1.1564434483717938,
      1.138642664590685,
      1.121167709055982,
      1.1040105926338564,
      1.087163771167608,
      1.0706198975935624,
      1.054371593697938,
      1.0384126374031222,
      1.022737385212152,
      1.0073397673888376,
      0.9922135087091446,
      0.9773522714821717,
      0.9627497502884023,
      0.9483997331164303,
      0.934296139916992,
      0.9204342163358885,
      0.9068102256403803,
      0.8934199431345919,
      0.8802588076535012,
      0.8673220877845264,
      0.8546049923680925,
      0.8421027427304124,
      0.8298106191983566,
      0.8177239896092554,
      0.8058383272357957,
      0.7941492207377369,
      0.7826523788342766,
      0.7713436318142202,
      0.7602189313057347,
      0.7492743477588276,
      0.7385060680877311,
      0.7279103921517331,
      0.7174837284768645,
      0.7072225913719651,
      0.6971235966054161,
      0.6871834577134006,
      0.6773989824149995,
      0.6677670692159212,
      0.6582847039270923,
      0.6489489114837735,
      0.6397567674129732,
      0.6307054507793632,
      0.6217922341208074,
      0.6130144752391561,
      0.6043696102079638,
      0.5958548309759584,
      0.5874670326956347,
      0.5792033550344026,
      0.5710611788199192,
      0.5630380658364365,
      0.5551317174359274,
      0.547339945473207,
      0.539660651957851,
      0.5320918151643029,
      0.5246314791470529,
      0.517277746083336,
      0.510028771382886,
      0.5028827591723651,
      0.49583795884040044,
      0.4888926626184769,
      0.48204520351610397,
      0.47529395343626246,
      0.46863732147607945,
      0.4620737525698751,
      0.45560172637894425,
      0.44921975605135345,
      0.4429263869079175,
      0.4367201956439324,
      0.43059978918635494,
      0.4245638039744674,
      0.4186109048032451,
      0.41273978414909024,
      0.40694916149821486,
      0.4012377822758612,
      0.3956044172935289,
      0.39004786198115243,
      0.3845669357632573,
      0.37916048132741403,
      0.3738273638390174,
      0.36856647048551616,
      0.36337670997227267,
      0.3582569437145017,
      0.35320581129514017,
      0.34822200885822246,
      0.34330434652589875,
      0.3384517184035505,
      0.33366324945171955,
      0.32893826128588516,
      0.3242760429195194,
      0.3196758514463633,
      0.315136902963041,
      0.31065883714473513,
      0.3062416528135288,
      0.3018850903361928,
      0.29758868205730976,
      0.29335182513733116,
      0.2891738307256081,
      0.2850539566713081,
      0.2809914298861335,
      0.2769855047740725,
      0.2730355143646534,
      0.2691407637080053,
      0.26530052517301267,
      0.2615142076747521,
      0.2577814742510232,
      0.2541018910652495,
      0.2504749093604985,
      0.24689990713713839,
      0.24337621710014984,
      0.23990314539702545,
      0.23647998437223644,
      0.2331059976634601,
      0.2297804306931511,
      0.22650254619632346,
      0.22327162386756183,
      0.2200869588548699,
      0.21694784516751253,
      0.2138535149351537,
      0.21080320999267121,
      0.20779621742263632,
      0.2048318579587652,
      0.2019094779601733,
      0.1990284442503458,
      0.19618814047859712,
      0.19338796459715726,
      0.19062732706317095,
      0.18790564960689304,
      0.18522236448553087,
      0.182576913775985,
      0.1799687487672979,
      0.177397329744175,
      0.17486212560118541,
      0.1723626135670526,
      0.16989827907636115,
      0.1674686156107819,
      0.1650731244457987,
      0.16271131460828234,
      0.16038270249107126,
      0.15808681184308465,
      0.15582317365763587,
      0.15359132612467294,
      0.1513908144241807,
      0.1492211905197466,
      0.14708201323770173,
      0.1449728479457483,
      0.1428932664662028,
      0.14084284712813486,
      0.1388211744568747,
      0.13682783916094676,
      0.1348624380609718,
      0.1329245739790875,
      0.13101385571020185,
      0.12912989767995706,
      0.1272723201734273,
      0.12544074886272635,
      0.12363481499961487,
      0.12185415535874532,
      0.12009841198793021,
      0.11836723219733285,
      0.11666026845741377,
      0.11497717828785038,
      0.11331762417498378,
      0.11168127361355212,
      0.11006779884646344,
      0.10847687698274096,
      0.10690818973045554,
      0.10536142352643015,
      0.10383626923011319,
      0.10233242217535653,
      0.1008495821481702,
      0.09938745333488015,
      0.09794574406250128,
      0.09652416693475178,
      0.09512243870890393,
      0.09374028016149946,
      0.09237741610782975,
      0.09103357527613605,
      0.08970849036694163,
      0.08840189785305284,
      0.0871135380848816,
      0.08584315503400025,
      0.08459049627233489,
      0.08335531306847928,
      0.08213736023990002,
      0.08093639604578944,
      0.07975218237252722,
      0.07858448429547583,
      0.07743307034592478,
      0.0762977122366254,
      0.07517818498042611,
      0.07407426679515089,
      0.07298573906756964,
      0.0719123863001718,
      0.07085399608202608,
      0.06981035890543134,
      0.06878126834304492,
      0.06776652087356233,
      0.06676591567969398,
      0.06577925495264812,
      0.06480634366960629,
      0.06384698960121755,
      0.06290100315758357,
      0.061968197479316284,
      0.06104838829371495,
      0.06014139393011186,
      0.05924703530656242,
      0.05836513584670785,
      0.057495521520381405,
      0.05663802069687058,
      0.0557924642196699,
      0.05495868537961774,
      0.0541365196073596,
      0.05332580474665449,
      0.052526380938991014,
      0.051738090580492044,
      0.05096077819837335,
      0.05019429058631418,
      0.04943847667206331,
      0.0486931875233528,
      0.04795827624092297,
      0.047233598072682376,
      0.04651901023968233,
      0.0458143720339764,
      0.04511954463793506,
      0.044434391157491315,
      0.04375877675816055,
      0.0430925684367018,
      0.0424356349428534,
      0.04178784692407952,
      0.04114907689633726,
      0.04051919912641028,
      0.039898089606870496,
      0.03928562620967518,
      0.03868168841688102,
      0.03808615737308289,
      0.03749891596941277,
      0.03691984867655855,
      0.036348841507950216,
      0.03578578208751851,
      0.03523055983152775,
      0.034683065431558906,
      0.03414319116615053,
      0.03361083087783622,
      0.033085879896091616,
      0.03256823501047707,
      0.032057794414508366,
      0.03155445775660292,
      0.031058126183952834,
      0.030568702020052907,
      0.030086089009710493,
      0.029610192318372353,
      0.029140918390508534,
      0.028678175102496428,
      0.02822187148212847,
      0.027771917779132026,
      0.02732822561056277,
      0.0268907077168793,
      0.026459278193373733,
      0.02603385219860451,
      0.025614346176113842,
      0.02520067770566336,
      0.02479276550513345,
      0.024390529481619856,
      0.02399389055784708,
      0.023602770814362607,
      0.023217093464581482,
      0.022836782719564436,
      0.022461763758445587,
      0.02209196300179972,
      0.021727307683588368,
      0.021367726259553552,
      0.02101314815896803,
      0.020663503730893366,
      0.02031872425762525,
      0.01997874207993278,
      0.01964349034487351,
      0.019312903195478508,
      0.018986915729018942,
      0.018665463920915507,
      0.018348484710944083,
      0.01803591580080649,
      0.01772769588073028,
      0.017423764319109,
      0.01712406144672652,
      0.016828528424419998,
      0.01653710724803629,
      0.016249742995096725,
      0.015966382655641338,
      0.015686972876525814,
      0.015411460159229033,
      0.015139791222724387,
      0.014871913201650497,
      0.014607773636204734,
      0.014347320679888345,
      0.014090503106364692,
      0.013837270254558727,
      0.01358757218644633,
      0.013341359726439711,
      0.01309858426229717,
      0.012859197789904764,
      0.012623153030136615,
      0.0123904032816771,
      0.012160902606946768,
      0.011934605645323554,
      0.01171146763264971,
      0.011491444473537723,
      0.011274492784854422,
      0.011060569617226937,
      0.010849632642921566,
      0.010641640212440065,
      0.010436551229230992,
      0.010234325147480986,
      0.010034922016569208,
      0.009838302470900596,
      0.009644427537141809,
      0.009453258875461824,
      0.009264758801154769,
      0.009078889971280589,
      0.008895615753467331,
      0.008714899942172043,
      0.00853670677559365,
      0.008361001037185617,
      0.008187747968327302,
      0.008016913309904354,
      0.00784846339705238,
      0.007682364918899248,
      0.007518584965896068,
      0.007357091104264328,
      0.007197851566730058,
      0.007040834809766393,
      0.00688600985431152,
      0.0067333461194848555,
      0.006582813391701046,
      0.006434381954271014,
      0.00628802245144432,
      0.0061437059834637,
      0.0060014040055806454,
      0.005861088464345187,
      0.005722731560047084,
      0.005586305949403174,
      0.005451784701883849,
      0.005319141225725688,
      0.005188349348114014,
      0.005059383129726102,
      0.004932217074649551,
      0.004806826036612431,
      0.004683185330272356,
      0.004561270462446797,
      0.004441057411433591,
      0.004322522411760711,
      0.004205642083596544,
      0.004090393258197677,
      0.003976753135134736,
      0.0038646993709561045,
      0.00375420973690889,
      0.0036452623752445098,
      0.0035378358024085797,
      0.0034319087675231067,
      0.003327460372612445,
      0.0032244699204215955,
      0.003122917068621943,
      0.003022781781715674,
      0.0029240443224761922,
      0.0028266851172639154,
      0.002730684870146265,
      0.0026360246710485495,
      0.0025426858262714586,
      0.0024506498934741302,
      0.0023598987110379837,
      0.002270414250282063,
      0.002182178882074402,
      0.002095175135627864,
      0.002009385852737121,
      0.0019247940375360412,
      0.0018413830062424122,
      0.0017591362643372196,
      0.001678037594461389,
      0.001598070935537743,
      0.001519220516912928,
      0.0014414707645616916,
      0.001364806290937137,
      0.0012892119363051501,
      0.001214672779214871,
      0.0011411740906214732,
      0.0010687012887057804,
      0.0009972401490069933,
      0.00092677650664526,
      0.0008572965062273001,
      0.0007887864263493362,
      0.0007212326322984507,
      0.0006546218088404843,
      0.0005889407931944126
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56703059034236,
      10.337712151593866,
      10.101005262985232,
      9.859807074354533,
      9.61648819708589,
      9.373115727112438,
      9.131471569474725,
      8.893017404794298,
      8.65892983924882,
      8.430105301910675,
      8.207161086390146,
      7.990450421497026,
      7.780088940298874,
      7.575990278410336,
      7.3779055997760805,
      7.185461894613331,
      6.99819806578774,
      6.815599488845459,
      6.637136306208695,
      6.462288042435345,
      6.290554567148042,
      6.121479580595778,
      5.9546676142258965,
      5.789786204171054,
      5.626574023790427,
      5.464845596301794,
      5.30448906437743,
      5.145470340835957,
      4.987828095339663,
      4.831672552779262,
      4.677170125037181,
      4.524549057661895,
      4.37408748145387,
      4.226106607331659,
      4.080982847346117,
      3.9391298726200965,
      3.8009570201480014,
      3.6668551247080234,
      3.5371852903224665,
      3.41226935853725,
      3.292383225407952,
      3.1777509297996995,
      3.0685397117952222,
      2.964861861171259,
      2.866764820823912,
      2.774235449785735,
      2.6871946413236882,
      2.605510402593163,
      2.5290126207829413,
      2.457475901652558,
      2.3906565775408906,
      2.3282869446852246,
      2.2700671915792516,
      2.2156777577345546,
      2.1647584955754096,
      2.1169184217446357,
      2.0717963187538477,
      2.029056357167604,
      1.9883836196944527,
      1.9495005725724068,
      1.9121825444134488,
      1.8762540911446512,
      1.8415751501572413,
      1.8080277214719784,
      1.7755100840144045,
      1.7439401068194689,
      1.7132510444376705,
      1.6833874875516677,
      1.6543024671401767,
      1.6259553786357828,
      1.598308578585464,
      1.5713266574925568,
      1.5449784836998726,
      1.5192364007012389,
      1.4940754489039472,
      1.4694728086332678,
      1.4454074001955475,
      1.4218595927966822,
      1.3988109886129434,
      1.3762443046812798,
      1.3541439451322748,
      1.3324957229492003,
      1.3112863326773316,
      1.290502756500361,
      1.2701322430731132,
      1.250162387878165,
      1.2305811792797698,
      1.2113770226931768,
      1.1925387496268505,
      1.1740556164035014,
      1.1559172973970762,
      1.1381138729243878,
      1.1206363718127945,
      1.103476814434777,
      1.0866276554915535,
      1.070081534197828,
      1.0538311476005582,
      1.0378703886764429,
      1.0221935400251838,
      1.0067944825925517,
      0.9916669065585878,
      0.9768044506840688,
      0.9622007933391604,
      0.9478497114669453,
      0.9337451642753869,
      0.9198826245139463,
      0.9062583262217484,
      0.8928679540223313,
      0.8797068854049432,
      0.8667703476474502,
      0.8540535216004418,
      0.8415516097247614,
      0.8292598792935738,
      0.8171736891796745,
      0.8052885066265292,
      0.7935999163069002,
      0.7821036241579897,
      0.7707954587703666,
      0.7596713701229967,
      0.748727427710263,
      0.7379598177879378,
      0.7273648395859073,
      0.7169389010673893,
      0.7066785160318901,
      0.6965802998554168,
      0.686640965914341,
      0.676857321658045,
      0.6672262651510844,
      0.6577447816308432,
      0.6484098940427422,
      0.6392186775705356,
      0.6301683114257832,
      0.6212560685972031,
      0.612479306869844,
      0.6038354617225062,
      0.5953217634812796,
      0.5869351110059378,
      0.578672629910909,
      0.5705316913095752,
      0.5625098502236735,
      0.5546048034276593,
      0.5468143593945547,
      0.5391364179807663,
      0.531568955657103,
      0.5241100151383334,
      0.516757697714453,
      0.5095101578929023,
      0.5023655990519185,
      0.495322269976502,
      0.488378462609241,
      0.48153250944424447,
      0.474782781991178,
      0.4681276889416873,
      0.4615656749836935,
      0.4550952193029858,
      0.44871483448901095,
      0.4424230655953839,
      0.43621848890273146,
      0.4300997110244288,
      0.4240653678759164,
      0.4181141239949848,
      0.4122446716073535,
      0.4064557297467259,
      0.4007460434828568,
      0.39511438326197257,
      0.3895595441333152,
      0.38408034511983263,
      0.37867562840513946,
      0.37334425894972145,
      0.36808512359825446,
      0.3628971307233349,
      0.3577791272434009,
      0.352729744550798,
      0.3477476858943372,
      0.34283176622308587,
      0.337980908096773,
      0.33319431440094927,
      0.3284712947374407,
      0.32381111868347584,
      0.31921302170925736,
      0.3146762394376447,
      0.3102005389814987,
      0.3057858884254872,
      0.30143196967943303,
      0.29713827559048006,
      0.29290417665440227,
      0.28872896600342635,
      0.28461188933783854,
      0.2805521661724229,
      0.2765490622556418,
      0.2726019074740729,
      0.2687099979281767,
      0.26487259979021344,
      0.2610891496988597,
      0.2573593108374188,
      0.25368263539322766,
      0.2500585652138359,
      0.24648647185700712,
      0.24296568367206295,
      0.239495503794107,
      0.2360752224780292,
      0.23270412528250659,
      0.22938149634833532,
      0.22610659632839314,
      0.22287868304197805,
      0.21969703676336208,
      0.21656093644777696,
      0.21346960034941867,
      0.21042227024243174,
      0.20741823312902627,
      0.20445680966787577,
      0.20153734633752307,
      0.19865920996890418,
      0.19582178425836036,
      0.1930244670906402,
      0.1902666689174862,
      0.18754781154986988,
      0.18486732732230382,
      0.18222465825701578,
      0.1796192558113137,
      0.17705058027911277,
      0.1745181005696022,
      0.17202129399399824,
      0.1695596459649399,
      0.1671326499955936,
      0.16473980751563283,
      0.1623806275421711,
      0.16005462648446425,
      0.15776132814578955,
      0.15550026367488143,
      0.15327097126985423,
      0.15107299612370717,
      0.1489058902742632,
      0.14676921253681602,
      0.14466252831547297,
      0.14258540958580843,
      0.1405374346864248,
      0.13851818819201428,
      0.1365272609638505,
      0.134564249894044,
      0.13262875775032917,
      0.1307203932927173,
      0.12883877119181533,
      0.12698351165979185,
      0.12515424064539796,
      0.12335058939090654,
      0.12157219476315925,
      0.11981869882522286,
      0.11808974890207832,
      0.11638499755422924,
      0.11470410240302593,
      0.11304672601648263,
      0.11141253595079519,
      0.10980120457287837,
      0.10821240901927552,
      0.1066458311008474,
      0.10510115723518015,
      0.10357807840088856,
      0.10207629005614545,
      0.10059549209111321,
      0.09913538865539977,
      0.09769568819699627,
      0.0962761034202938,
      0.09487635113151036,
      0.09349615228868773,
      0.09213523174177296,
      0.0907933183104445,
      0.08947014474813587,
      0.08816544757996886,
      0.0868789671510598,
      0.08561044763078704,
      0.08435963664861489,
      0.08312628561054326,
      0.08191014943349305,
      0.08071098648959446,
      0.07952855860728542,
      0.07836263097642272,
      0.07721297217035682,
      0.07607935409751163,
      0.07496155193290069,
      0.07385934397273258,
      0.07277251162708878,
      0.07170083945254263,
      0.07064411504054417,
      0.06960212907561987,
      0.06857467518227615,
      0.06756154993214751,
      0.06656255271869564,
      0.06557748580770947,
      0.06460615420742939,
      0.06364836564421252,
      0.06270393075495304,
      0.06177266272091939,
      0.060854377410275065,
      0.0599488932029578,
      0.05905603113987805,
      0.05817561469691818,
      0.05730746992779657,
      0.05645142531069415,
      0.05560731177592934,
      0.05477496257436742,
      0.0539542132942907,
      0.05314490191870758,
      0.05234686869151768,
      0.05155995610974618,
      0.050784008870217154,
      0.050018873789458705,
      0.04926439992573047,
      0.048520438283088246,
      0.04778684215597795,
      0.04706346686218437,
      0.04635016978869323,
      0.04564681024207018,
      0.04495324945539159,
      0.04426935078387643,
      0.04359497931386575,
      0.04293000212709138,
      0.04227428816875201,
      0.04162770818615736,
      0.040990134693537884,
      0.04036144207709043,
      0.03974150643343287,
      0.03913020566940742,
      0.038527419357292154,
      0.037933028720627884,
      0.037346916692923345,
      0.03676896784645115,
      0.036199068374676145,
      0.035637106017636776,
      0.035082970069538234,
      0.03453655137619751,
      0.03399774237044423,
      0.03346643701523067,
      0.03294253070742717,
      0.03242592033113668,
      0.031916504249461665,
      0.0314141820570569,
      0.030918854884757686,
      0.03043042521034838,
      0.02994879689132437,
      0.029473875199418548,
      0.029005566660508554,
      0.02854377919189078,
      0.02808842188213258,
      0.02763940507474828,
      0.027196640494916977,
      0.026760041075710766,
      0.026329520846895597,
      0.025904995094924412,
      0.025486380374876282,
      0.025073594330503577,
      0.024666555671064388,
      0.024265184298362486,
      0.023869401362364432,
      0.02347912900350733,
      0.02309429035979285,
      0.022714809806444126,
      0.02234061271724702,
      0.021971625382290638,
      0.021607775336319038,
      0.021248991065717683,
      0.020895201930164968,
      0.02054633836959298,
      0.02020233178282105,
      0.01986311448775376,
      0.019528619831740337,
      0.01919878206409277,
      0.018873536256417803,
      0.018552818506416692,
      0.018236565827377597,
      0.01792471594594922,
      0.01761720758615846,
      0.01731398024192236,
      0.01701497434067923,
      0.01672013109258452,
      0.016429392482903798,
      0.016142702990460587,
      0.015860009815930973,
      0.015581259793145815,
      0.015306399677077595,
      0.015035376329459591,
      0.014768137063899936,
      0.014504629534645274,
      0.014244801951278313,
      0.01398860319355206,
      0.013735982770113692,
      0.01348689070288457,
      0.013241277853053877,
      0.012999095607279661,
      0.01276029604990957,
      0.012524831959214769,
      0.012292656743103782,
      0.012063724421931063,
      0.011837989778825875,
      0.011615408194978883,
      0.011395935627494722,
      0.011179528589096606,
      0.010966144283069173,
      0.010755740498881611,
      0.010548275561111658,
      0.010343708363122185,
      0.010141998466567787,
      0.009943105987467381,
      0.009746991534886071,
      0.009553616317397949,
      0.009362942124441121,
      0.009174931214439467,
      0.00898954639583485,
      0.008806750932082285,
      0.008626508620015712,
      0.008448783845049214,
      0.008273541530528873,
      0.008100746847339534,
      0.007930365586232764,
      0.0077623641062045615,
      0.007596709221591044,
      0.0074333680972565215,
      0.007272308469695012,
      0.007113498405847933,
      0.006956906413042727,
      0.00680250161451661,
      0.006650253386513863,
      0.006500131696105471,
      0.006352106792340487,
      0.006206149439535613,
      0.006062230726067803,
      0.005920322211938756,
      0.005780395785013207,
      0.005642423608082681,
      0.005506378455395871,
      0.005372233465710929,
      0.005239962175694315,
      0.0051095383213147225,
      0.004980936180205899,
      0.004854130298908308,
      0.004729095475590822,
      0.004605807010962349,
      0.004484240509720032,
      0.004364371899100029,
      0.004246177518937281,
      0.0041296340415244055,
      0.004014718354665207,
      0.003901407693499441,
      0.003789679652831082,
      0.00367951212485232,
      0.0035708833840250006,
      0.0034637718680968466,
      0.003358156449857863,
      0.0032540160805109245,
      0.003151330247992014,
      0.003050078667086267,
      0.002950241352781629,
      0.002851798497118966,
      0.0027547305505095485,
      0.0026590183741666143,
      0.002564642973816768,
      0.0024715856924491224,
      0.0023798280989833043,
      0.002289352043060853,
      0.002200139679153138,
      0.0021121734031034284,
      0.002025435725538603,
      0.0019399095849204067,
      0.0018555780198147788,
      0.0017724242994943574,
      0.0016904319917555248,
      0.0016095848603164865,
      0.0015298668900844796,
      0.0014512623834787403,
      0.0013737558158758803,
      0.0012973318257850294,
      0.0012219752243787909,
      0.0011476711075455608,
      0.0010744047338508258,
      0.0010021616893326906,
      0.0009309276401095633,
      0.0008606885367287091,
      0.0007914305783704802,
      0.000723139942191903,
      0.0006558030407991914,
      0.0005894065961902929,
      0.0005239374984981121
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567023201384496,
      10.337687335190058,
      10.100955065960667,
      9.859726103293582,
      9.6163727733852,
      9.372963090661807,
      9.131280337322657,
      8.892787264316285,
      8.658660980341123,
      8.42979823707986,
      8.206816476445765,
      7.990068948248594,
      7.779671211874106,
      7.575536772312859,
      7.377416631291805,
      7.184937613510232,
      6.99763832347433,
      6.815004008670296,
      6.636504824318525,
      6.461620413190688,
      6.289850840250505,
      6.120740057603147,
      5.953892863912068,
      5.78897707952279,
      5.6257316772298696,
      5.463971523938453,
      5.3035851544747254,
      5.1445389379003705,
      4.98687199816878,
      4.830694906707435,
      4.676174336679303,
      4.523539019899119,
      4.373067616685601,
      4.225081762396628,
      4.0799586577156175,
      3.938112082982388,
      3.7999511664889365,
      3.665866435341169,
      3.536218595835453,
      3.41132901450056,
      3.2914731778572612,
      3.1768745724105965,
      3.0676997608308634,
      2.964060211848745,
      2.866002580292634,
      2.7735128188365237,
      2.68651082167024,
      2.6048640896984585,
      2.5284016765961796,
      2.4568977247148287,
      2.3901085986574144,
      2.32776632496455,
      2.2695707183059364,
      2.2152021399656934,
      2.164299937382283,
      2.116473141331557,
      2.0713609760380702,
      2.028627722627426,
      1.9879589123295915,
      1.949077588540923,
      1.911759661913133,
      1.8758301227458412,
      1.8411491906138007,
      1.8075989622662254,
      1.7750779074483283,
      1.743504098818672,
      1.7128109371861722,
      1.6829431173534652,
      1.6538537449129302,
      1.6255022681184994,
      1.59785110483458,
      1.5708648751432686,
      1.5445124573008069,
      1.5187662011017438,
      1.4936011506421503,
      1.4689944890377962,
      1.4449251381657997,
      1.4213734674637288,
      1.398321079353782,
      1.3757507018431563,
      1.3536467542336277,
      1.3319950685119295,
      1.3107823357091106,
      1.2899955215203665,
      1.2696218637153833,
      1.2496489501661396,
      1.2300647634347455,
      1.2108577044925564,
      1.1920166012086537,
      1.1735307075840995,
      1.155389695670249,
      1.137583644632961,
      1.1201036117609469,
      1.102941626713375,
      1.0860901425798035,
      1.0695417850468747,
      1.0532893274330968,
      1.0373267779703073,
      1.021648345459965,
      1.0062478603169662,
      0.9911189784923078,
      0.9762553153140529,
      0.9616505329586382,
      0.9472983970890875,
      0.9331929926077438,
      0.919329975302262,
      0.9057054643954178,
      0.8923150679628999,
      0.8791541114361244,
      0.8662177871787253,
      0.8535012523313664,
      0.8409996931198468,
      0.8287083660227182,
      0.8166226228409437,
      0.8047379257593367,
      0.7930498559221483,
      0.7815541168388762,
      0.7702465354492628,
      0.759123060713545,
      0.7481797612156994,
      0.7374128225982941,
      0.7268185432781124,
      0.716393331005611,
      0.7061336991924743,
      0.6960362626903761,
      0.686097734354928,
      0.6763149214878666,
      0.6666847219608828,
      0.6572041208647319,
      0.6478701387185628,
      0.6386798501808292,
      0.6296304348859496,
      0.6207191658368951,
      0.6119434008736417,
      0.6033005755365143,
      0.5947879580920865,
      0.5864024512561502,
      0.5781411664336392,
      0.5700014650706988,
      0.5619808954229689,
      0.5540771494037598,
      0.5462880324813175,
      0.5386114421254371,
      0.531045352947383,
      0.5235878063926385,
      0.5162369030100811,
      0.5089907965257664,
      0.501847689639624,
      0.49480583068003114,
      0.4878635108636668,
      0.4810190623170031,
      0.4742708560752855,
      0.46761730052122746,
      0.46105683981137713,
      0.45458795267564295,
      0.44820915144332696,
      0.4419189808431525,
      0.4357160167346744,
      0.42959886525844193,
      0.4235661620531093,
      0.41761657126480045,
      0.4117487847342598,
      0.405961521085222,
      0.4002535250744726,
      0.3946235667482135,
      0.3890704409180506,
      0.383592966195787,
      0.3781899844803772,
      0.3728603602893685,
      0.3676029802681993,
      0.36241675239694,
      0.35730050430313615,
      0.3522528653483036,
      0.34727254523995776,
      0.3423583636469546,
      0.3375092920521688,
      0.33272460080358424,
      0.3280035684727973,
      0.32334544774069696,
      0.3187494525675476,
      0.31421488262397806,
      0.30974161198010525,
      0.30532953636514454,
      0.30097828680443145,
      0.29668732177076823,
      0.29245598853745425,
      0.2882835645031048,
      0.2841692847725907,
      0.2801123625336058,
      0.2761120757755517,
      0.272167751458938,
      0.26827867708695724,
      0.26444411308660404,
      0.26066352418089905,
      0.25693657339820675,
      0.2532627989789474,
      0.2496416334162021,
      0.24607244187771124,
      0.24255454835827522,
      0.23908725317218116,
      0.23566984452361528,
      0.23230160647744916,
      0.22898182423923213,
      0.2257097875027372,
      0.22248478760780838,
      0.21930609593442163,
      0.21617296454982274,
      0.2130845927168534,
      0.2100402172778002,
      0.2070391219742438,
      0.2040806253538828,
      0.20116407232662553,
      0.19828882877872103,
      0.19545427769887366,
      0.19265981668831775,
      0.18990485601884532,
      0.1871888173086526,
      0.18451113269713526,
      0.18187124419831613,
      0.1792686031543514,
      0.17670266986443278,
      0.17417291332426216,
      0.1716788108848883,
      0.16921984809133256,
      0.1667955184521133,
      0.1644053233498244,
      0.16204877179982385,
      0.15972538033071965,
      0.15743467285205845,
      0.15517618049734389,
      0.1529494415369616,
      0.15075400122791813,
      0.14858941168228812,
      0.14645523175504377,
      0.1443510269883617,
      0.1422763692761579,
      0.14023083702988176,
      0.13821401495610589,
      0.1362254939223027,
      0.1342648708532342,
      0.13233174867713057,
      0.13042573636612526,
      0.12854644842222113,
      0.1266935051435433,
      0.12486653251983021,
      0.12306516197395234,
      0.12128903031751591,
      0.11953777971673515,
      0.11781105759226408,
      0.1161085165167459,
      0.11442981428782148,
      0.11277461350881215,
      0.11114258178299154,
      0.10953339158664126,
      0.1079467201008411,
      0.10638224914130014,
      0.10483966526262396,
      0.10331865953447517,
      0.10181892747295435,
      0.10034016894204904,
      0.09888208832437095,
      0.09744439415343181,
      0.09602679924366461,
      0.09462902038959815,
      0.09325077864490068,
      0.09189179894132901,
      0.09055181026215771,
      0.08923054541598716,
      0.08792774107828202,
      0.08664313766813975,
      0.08537647929543468,
      0.08412751368272074,
      0.08289599232564279,
      0.08168167024372978,
      0.08048430594070992,
      0.07930366117690195,
      0.07813950131918479,
      0.07699159515707966,
      0.07585971457489889,
      0.07474363475683941,
      0.07364313410173892,
      0.07255799421603289,
      0.07148799971489404,
      0.07043293833013087,
      0.06939260078131691,
      0.06836678079113169,
      0.06735527502607458,
      0.0663578829141713,
      0.06537440683226187,
      0.06440465183656732,
      0.06344842587704178,
      0.06250553963426422,
      0.061575806385432266,
      0.06065904205835424,
      0.05975506511040957,
      0.05886369672900628,
      0.05798476050106342,
      0.05711808255930008,
      0.05626349141327909,
      0.05542081813633795,
      0.054589896072026654,
      0.053770560848159926,
      0.05296265051070586,
      0.052166005361454416,
      0.05138046806172791,
      0.05060588329960772,
      0.04984209810763299,
      0.04908896158131721,
      0.04834632487939661,
      0.047614041343063025,
      0.04689196632447791,
      0.04617995732194636,
      0.04547787376035782,
      0.04478557697034077,
      0.04410293031387595,
      0.04342979914655768,
      0.04276605052623218,
      0.042111553402171896,
      0.041466178636418216,
      0.04082979886402893,
      0.04020228863983961,
      0.03958352417589967,
      0.03897338335573004,
      0.038371745777169154,
      0.03777849287496159,
      0.037193507614548635,
      0.036616674665783784,
      0.036047880239584516,
      0.03548701225813445,
      0.03493396015952083,
      0.0343886148164108,
      0.033850868762388096,
      0.03332061591878368,
      0.03279775184884748,
      0.03228217347701695,
      0.0317737792019932,
      0.03127246884348666,
      0.030778143569057875,
      0.030290705873935175,
      0.029810059823353826,
      0.029336110754089244,
      0.028868765178256955,
      0.028407931025278072,
      0.02795351758111664,
      0.027505435368955528,
      0.027063596047455504,
      0.026627912555205604,
      0.026198299107330805,
      0.02577467110171635,
      0.025356945112575042,
      0.024945038856683817,
      0.02453887111315223,
      0.024138361882780745,
      0.023743432323048895,
      0.02335400477042141,
      0.02297000244263046,
      0.02259134969164463,
      0.022217971987360474,
      0.021849795873938864,
      0.02148674874590148,
      0.02112875912992226,
      0.020775756519345153,
      0.02042767147990558,
      0.02008443551134296,
      0.01974598100798074,
      0.01941224133117281,
      0.019083150821895243,
      0.018758644619468474,
      0.018438658904006113,
      0.01812313067801189,
      0.017811997856755624,
      0.017505199050334028,
      0.017202673940174225,
      0.016904363023565672,
      0.01661020759675717,
      0.016320149677464858,
      0.01603413329133204,
      0.015752105563282975,
      0.015474013570987476,
      0.01519980432250318,
      0.014929424860137349,
      0.014662822510718211,
      0.014399945060819857,
      0.014140740882739861,
      0.013885158903762209,
      0.013633148679572727,
      0.013384660406181461,
      0.01313964497910239,
      0.012898053883520205,
      0.01265983926497052,
      0.01242495393855234,
      0.012193351331287839,
      0.011964985662038291,
      0.011739811653682888,
      0.011517784718169999,
      0.011298860870758452,
      0.011082996703624079,
      0.010870149457536601,
      0.01066027700183062,
      0.010453337698535764,
      0.010249290557230815,
      0.010048095227679337,
      0.00984971175869929,
      0.009654100854966137,
      0.009461223862809466,
      0.009271042548538604,
      0.009083519069417467,
      0.008898616391240444,
      0.008716297939296038,
      0.008536527556915573,
      0.00835926961797638,
      0.008184488976022296,
      0.008012150998194238,
      0.007842221683802164,
      0.007674667200005955,
      0.007509454385422031,
      0.007346550524278242,
      0.007185923377179843,
      0.007027541105445249,
      0.006871372305297175,
      0.006717386062650941,
      0.006565551876327007,
      0.0064158396209709,
      0.006268219766054761,
      0.0061226629673332335,
      0.005979140441565872,
      0.005837623783389124,
      0.005698084904849504,
      0.005560496205187482,
      0.005424830411303156,
      0.005291060617304579,
      0.005159160299565336,
      0.005029103269925644,
      0.00490086388467803,
      0.004774416733868468,
      0.00464973672616956,
      0.004526799181138355,
      0.004405579706926015,
      0.004286054308092673,
      0.004168199316908213,
      0.0040519914147670285,
      0.00393740758543766,
      0.003824425069053406,
      0.0037130215464706976,
      0.003603175013265572,
      0.003494863731766335,
      0.003388066107414245,
      0.003282761042915593,
      0.0031789276582459996,
      0.0030765453996049893,
      0.0029755939840950692,
      0.0028760533710033196,
      0.00277790385444672,
      0.0026811260502732125,
      0.002585700699072895,
      0.0024916089275346027,
      0.002398832187063182,
      0.002307352041093582,
      0.0022171503407050906,
      0.0021282092361563617,
      0.00204051115121865,
      0.00195403868882728,
      0.0018687747472277542,
      0.0017847023702123688,
      0.0017018049349010432,
      0.0016200660802113403,
      0.0015394695343582136,
      0.0014599993882927645,
      0.0013816398613183448,
      0.001304375404689139,
      0.0012281906785712377,
      0.0011530707019321677,
      0.0010790005200446312,
      0.0010059654829420825,
      0.0009339511497648398,
      0.0008629433212042465,
      0.0007929278817854631,
      0.0007238909355426102,
      0.0006558187575688183,
      0.0005886979247789516,
      0.0005225151740771382,
      0.00045725742031638866
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567015807137706,
      10.337662500386362,
      10.100904830458115,
      9.859645066733675,
      9.616257246728635,
      9.3728103109069,
      9.131088896205931,
      8.892556829354312,
      8.65839174767223,
      8.429490725751508,
      8.206471355271175,
      7.989686905359611,
      7.779252859985576,
      7.575082594239922,
      7.376926946032941,
      7.184412573697478,
      6.997077782381582,
      6.814407692254554,
      6.635872470213956,
      6.460951877207158,
      6.289146173326024,
      6.119999562491956,
      5.953117111070495,
      5.788166925095194,
      5.624888276501363,
      5.463096375322132,
      5.3026801499242096,
      5.143606424841185,
      4.985914778702867,
      4.829716054410658,
      4.675177268864968,
      4.522527639215642,
      4.3720463531972324,
      4.224055470545329,
      4.078932982214688,
      3.9370927762948287,
      3.7989437715583088,
      3.6648761873804174,
      3.535250331216108,
      3.4103870927322983,
      3.290561549117176,
      3.1759966332287073,
      3.0668582433394835,
      2.96325702284676,
      2.8652388252094543,
      2.7727886970515163,
      2.685825535243453,
      2.6042163345392715,
      2.5277893141524683,
      2.456318151946606,
      2.3895592448998055,
      2.3272443502411218,
      2.2690729095104563,
      2.2147252062858387,
      2.1638400825614066,
      2.1160265839814607,
      2.0709243762807166,
      2.028197852183913,
      1.9875329903729662,
      1.9486534113925085,
      1.9113356078034902,
      1.8754050047384692,
      1.8407221039398334,
      1.8071690984950346,
      1.7746446481282208,
      1.743067029916547,
      1.7123697905603505,
      1.6824977292842647,
      1.6534040257396176,
      1.6250481810144655,
      1.59739267441287,
      1.5704021550642993,
      1.5440455112246987,
      1.5182950995402986,
      1.4931259679974764,
      1.4685153021508535,
      1.4444420253061696,
      1.4208865076066157,
      1.397830350623091,
      1.3752562930543475,
      1.3531487703194096,
      1.3314936333926841,
      1.3102775690669897,
      1.2894875281681597,
      1.2691107374241464,
      1.2491347763332572,
      1.2295476216077446,
      1.2103376699844839,
      1.1914937462613255,
      1.1730051017736427,
      1.1548614066721197,
      1.1370527382778925,
      1.1195701826666622,
      1.1024057790110244,
      1.085551978966991,
      1.069001394264525,
      1.0527468740669175,
      1.03678254235247,
      1.0211025340582731,
      1.005700629411416,
      0.9905704500222585,
      0.9757055873204808,
      0.9610996872821679,
      0.9467465046405247,
      0.9326402502423374,
      0.9187767630646864,
      0.9051520470579391,
      0.891761633549852,
      0.8786007961733391,
      0.8656646922822538,
      0.8529484553651798,
      0.8404472558280331,
      0.828156339059348,
      0.8160710492395529,
      0.804186843709107,
      0.7924992999927611,
      0.7810041194880387,
      0.7696971273926966,
      0.7585742714303086,
      0.7476316195901486,
      0.7368653565816848,
      0.72627178024791,
      0.7158472979586102,
      0.705588422798197,
      0.6954917693831683,
      0.6855540501851489,
      0.6757720720887573,
      0.6661427326564026,
      0.6566630163587608,
      0.6473299418309305,
      0.638140583493963,
      0.6290921213112253,
      0.6201818285124574,
      0.611407062722251,
      0.6027652593228281,
      0.5942537247849881,
      0.5858693652570287,
      0.5776092781968993,
      0.5694708152386659,
      0.5614515182094263,
      0.5535490743717614,
      0.5457612856374489,
      0.5380860471730768,
      0.5305213322200096,
      0.5230651808598128,
      0.5157156924502668,
      0.508471019993818,
      0.501329365518119,
      0.49428897690037926,
      0.48734814489057826,
      0.48050520115042955,
      0.4737585162961623,
      0.4671064982027353,
      0.4605475906518083,
      0.4540802721754028,
      0.4477030545926737,
      0.44141448226096053,
      0.4352131306735428,
      0.4290976055018353,
      0.4230665420858683,
      0.4171186041582254,
      0.4112524831522978,
      0.4054668974121023,
      0.3997605913841108,
      0.39413233471762593,
      0.38858092178591486,
      0.3831051709194531,
      0.3777039236330362,
      0.37237604407941655,
      0.36712041850272875,
      0.36193595456729416,
      0.3568214606861736,
      0.35177556396033244,
      0.34679698108850154,
      0.3418845361270542,
      0.33703729197543036,
      0.3322545298699834,
      0.32753550707488643,
      0.32287945555167397,
      0.3182855705302094,
      0.31375324967803225,
      0.30928243464408794,
      0.3048729498289765,
      0.30052437856679926,
      0.29623614711916524,
      0.29200758093277196,
      0.2878379426621148,
      0.2837264574796852,
      0.2796723349379852,
      0.2756748644285574,
      0.2717333683967752,
      0.26784712613925105,
      0.26401539259772017,
      0.2602376605825134,
      0.2565135931965334,
      0.2528427149996364,
      0.2492244491286611,
      0.24565815439756053,
      0.24214315046968055,
      0.23867873472088755,
      0.23526419345365374,
      0.23189880941323252,
      0.2285818667170886,
      0.22531265451498106,
      0.22209046894857373,
      0.21891461448926902,
      0.21578436079701924,
      0.21269889279361484,
      0.20965743231303852,
      0.20665925294430895,
      0.20370366639671417,
      0.20079001313767791,
      0.1979176559581815,
      0.19508597588229543,
      0.19229436915938866,
      0.18954224517583854,
      0.18682902498617104,
      0.1841541403447495,
      0.18151703306925535,
      0.17891715437779165,
      0.1763539643505627,
      0.17382693199859042,
      0.171335534711521,
      0.16887925796808914,
      0.16645759536543317,
      0.16407004831260744,
      0.1617161258524487,
      0.15939534459822738,
      0.1571072284991683,
      0.15485130874629924,
      0.1526271236914939,
      0.15043421859469144,
      0.14827214561279756,
      0.14614046366755482,
      0.1440387382498618,
      0.1419665414331271,
      0.13992345172109347,
      0.13790905383788854,
      0.13592293875867742,
      0.13396470350422102,
      0.1320339510741765,
      0.13013029027709092,
      0.12825333580092757,
      0.12640270809748497,
      0.12457803313820125,
      0.12277894244153084,
      0.12100507293920834,
      0.11925606691680916,
      0.11753157178010568,
      0.11583124022572938,
      0.1141547300534302,
      0.11250170391813062,
      0.11087182949850811,
      0.10926477937014228,
      0.10768023079281268,
      0.10611786581852874,
      0.10457737098263462,
      0.10305843735992054,
      0.10156076052719439,
      0.10008404051569969,
      0.09862798174049996,
      0.09719229285536002,
      0.0957766866475906,
      0.09438088007407089,
      0.09300459418412131,
      0.09164755405673664,
      0.09030948873247818,
      0.08899013111446595,
      0.08768921799746449,
      0.08640648979852111,
      0.08514169076795058,
      0.08389456881935589,
      0.0826648754998552,
      0.0814523658489398,
      0.08025679840964474,
      0.07907793517278014,
      0.07791554155232744,
      0.0767693863444207,
      0.07563924165747196,
      0.07452488264055114,
      0.07342608779868555,
      0.07234263886218363,
      0.07127432058177437,
      0.07022092073512821,
      0.06918223008052579,
      0.06815804245211296,
      0.06714815454173516,
      0.06615236586935855,
      0.06517047892610524,
      0.0642022990132722,
      0.06324763403433223,
      0.06230629478359515,
      0.061378094621577395,
      0.06046284951641125,
      0.059560378148973525,
      0.058670501722506055,
      0.05779304392190908,
      0.056927830939229956,
      0.05607469134328186,
      0.05523345631422937,
      0.05440395936321646,
      0.05358603622612511,
      0.05277952499470648,
      0.05198426606556505,
      0.05120010209159462,
      0.05042687801826633,
      0.04966444084835704,
      0.048912639732968215,
      0.0481713259748945,
      0.04744035296702534,
      0.04671957624377882,
      0.04600885330832651,
      0.04530804372163433,
      0.04461700896430778,
      0.04393561244209927,
      0.04326371952121786,
      0.04260119740256746,
      0.04194791511412276,
      0.04130374364393359,
      0.040668555829332806,
      0.04004222619289778,
      0.03942463099145964,
      0.03881564824958145,
      0.03821515768190679,
      0.03762304071773051,
      0.037039180404667055,
      0.03646346152860436,
      0.03589577039329736,
      0.03533599490857248,
      0.03478402463331711,
      0.034239750605454214,
      0.03370306536208814,
      0.03317386310557327,
      0.032652039334956404,
      0.032137491144447985,
      0.03163011696754076,
      0.031129816686494158,
      0.030636491546542435,
      0.030150044183575506,
      0.029670378663880923,
      0.029197400337987883,
      0.028731015874892907,
      0.028271133336246278,
      0.027817662058696277,
      0.027370512585683123,
      0.026929596680381446,
      0.02649482741945597,
      0.02606611902501311,
      0.025643386999767717,
      0.025226548000050728,
      0.024815519840600854,
      0.024410221363820605,
      0.024010572682152505,
      0.023616494954340986,
      0.023227910503094282,
      0.02284474276556345,
      0.02246691619086627,
      0.02209435633237297,
      0.021726989676960972,
      0.021364743700973614,
      0.02100754700582538,
      0.020655329235682977,
      0.020308021050058394,
      0.01996555396663939,
      0.01962786048118144,
      0.01929487394940585,
      0.018966528802952264,
      0.01864276038792633,
      0.018323504857885958,
      0.018008699350032478,
      0.01769828177048984,
      0.017392190888176895,
      0.017090366393984466,
      0.016792748810554464,
      0.01649927952008531,
      0.016209900642529328,
      0.01592455578197236,
      0.01564319182851866,
      0.015365756288187269,
      0.01509219623780654,
      0.014822458912705954,
      0.014556491887841165,
      0.014294243088509498,
      0.014035660859655012,
      0.01378069424042592,
      0.013529292847027296,
      0.013281406967784078,
      0.013036987546253598,
      0.01279598619242098,
      0.012558355088290892,
      0.012324047048467714,
      0.012093015697725825,
      0.011865215218951364,
      0.011640600428295997,
      0.011419126686515147,
      0.011200750093092083,
      0.010985427415805766,
      0.01077311593928571,
      0.010563773494795483,
      0.010357358538785387,
      0.01015383018559275,
      0.009953148047063196,
      0.009755272309496257,
      0.009560163723573179,
      0.0093677836159764,
      0.009178093781977764,
      0.00899105656461518,
      0.008806634847003437,
      0.008624792071952957,
      0.008445492187554226,
      0.008268699671262668,
      0.008094379447658468,
      0.007922497011641568,
      0.007753018191156028,
      0.007585909414004956,
      0.007421137423291025,
      0.007258669681355088,
      0.0070984739176230644,
      0.006940518319982778,
      0.006784771575423822,
      0.006631202861534545,
      0.006479781623935288,
      0.006330477793356061,
      0.006183261813943744,
      0.0060381044827834485,
      0.005894976968799673,
      0.005753850947826577,
      0.0056146984467006725,
      0.005477491879972145,
      0.005342204005189334,
      0.005208807987719368,
      0.005077277378044156,
      0.004947586052588202,
      0.00481970826368718,
      0.004693618691405277,
      0.004569292331285747,
      0.0044467045362240575,
      0.004325830938717244,
      0.004206647565210795,
      0.004089130824755283,
      0.003973257435225847,
      0.00385900446584289,
      0.0037463492151830545,
      0.003635269281057483,
      0.0035257427017162768,
      0.003417747755015319,
      0.003311263044960114,
      0.0032062673415177638,
      0.0031027398913114654,
      0.0030006601201188394,
      0.0029000078511777464,
      0.002800763092134759,
      0.0027029061666722543,
      0.0026064175863133384,
      0.002511278336559452,
      0.0024174695031538426,
      0.002324972363346506,
      0.002233768630358762,
      0.00214384032446348,
      0.0020551695558884697,
      0.0019677387856750434,
      0.001881530629288566,
      0.0017965279349120903,
      0.0017127139003986081,
      0.0016300719629280091,
      0.00154858567031553,
      0.001468238877238468,
      0.0013890156309942095,
      0.0013109002232573423,
      0.0012338771539775566,
      0.001157931102305075,
      0.0010830470573022176,
      0.0010092101762350467,
      0.0009364058663611136,
      0.0008646196766035996,
      0.0007938373237306095,
      0.0007240447569447245,
      0.0006552280646451163,
      0.0005873737060912201,
      0.0005204681017843372,
      0.0004544980322062977,
      0.0003894504519918057
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567008548388328,
      10.337638048548687,
      10.100855178072722,
      9.859564772767687,
      9.616142589389,
      9.372658504049463,
      9.130898411803734,
      8.89232733523645,
      8.65812344020986,
      8.429184125891355,
      8.206127131557235,
      7.989305746992739,
      7.778835382331585,
      7.574629281007072,
      7.376438118002519,
      7.183888386573762,
      6.996518092344536,
      6.813812227281719,
      6.635240971154736,
      6.460284202781079,
      6.28844237901379,
      6.119259954661283,
      5.952342263656487,
      5.787357695820044,
      5.624045822569195,
      5.4622221975464855,
      5.301776141484085,
      5.142674935198054,
      4.984958611263958,
      4.828738267626011,
      4.674181283239326,
      4.521517357867487,
      4.371026202895847,
      4.223030315749722,
      4.07790847568474,
      3.9360746630624757,
      3.7979375861627798,
      3.6638871552711048,
      3.534283279542742,
      3.409446399493561,
      3.2896511788486054,
      3.1751199670895693,
      3.0660180113362845,
      2.9624551273762876,
      2.8644763564040994,
      2.7720658423637605,
      2.6851414891762184,
      2.6035697861494915,
      2.5271780574669274,
      2.455739589869515,
      2.389010812905293,
      2.3267232155557447,
      2.268575867352891,
      2.2142489740913187,
      2.1633808736181788,
      2.1155806264827186,
      2.0704883392965567,
      2.027768515216673,
      1.9871075803013425,
      1.9482297313888277,
      1.9109120412575977,
      1.8749803678093846,
      1.8402954940748437,
      1.8067397090759034,
      1.7742118622586451,
      1.742630434094217,
      1.7119291172658648,
      1.6820528155606764,
      1.6529547825735058,
      1.6245945720591008,
      1.5969347250509267,
      1.56993992006613,
      1.5435790542765866,
      1.5178244906053227,
      1.4926512814224873,
      1.4680366148592072,
      1.4439594158387064,
      1.4204000541272117,
      1.397340132108368,
      1.3747623990569047,
      1.35265130578416,
      1.330992722392132,
      1.3097733316272828,
      1.2889800688755026,
      1.2686001497612425,
      1.248621145551135,
      1.2290310271988145,
      1.2098181868909654,
      1.1909714461911416,
      1.172480054011911,
      1.1543336786934177,
      1.1365223957507573,
      1.1190373202888322,
      1.101870500726824,
      1.085014387020603,
      1.068461577540729,
      1.0522050096473843,
      1.036238907098074,
      1.0205573317876422,
      1.0051540148266358,
      0.9900225437894609,
      0.9751564869680215,
      0.9605494744400347,
      0.9461952495982412,
      0.932088149178094,
      0.9182241956451354,
      0.9045992780267628,
      0.8912088511515872,
      0.8780481367978029,
      0.8651122572029135,
      0.8523963220462325,
      0.839895485654254,
      0.8276049825228434,
      0.8155201497135944,
      0.8036364394109773,
      0.7919494260219414,
      0.7804548080633114,
      0.7691484091621815,
      0.758026176256109,
      0.7470841763008729,
      0.7363185930661175,
      0.7257257240168407,
      0.7153019761857012,
      0.7050438621186353,
      0.6949479960111511,
      0.6850110900696459,
      0.6752299510065335,
      0.6656014759635921,
      0.6561226480699943,
      0.6467904842936654,
      0.6376020594909587,
      0.6285545539919354,
      0.6196452410360419,
      0.6108714782225001,
      0.602230700762367,
      0.5937202533682591,
      0.5853370458123779,
      0.5770781613401219,
      0.568940941915067,
      0.5609229225440019,
      0.5530217858027522,
      0.5452353304168642,
      0.5375614491877976,
      0.52999811344228,
      0.5225433620893469,
      0.5151952936389399,
      0.5079520602809288,
      0.5008118633328735,
      0.4937729500552949,
      0.48683361071787085,
      0.4799921764273331,
      0.4732470172892693,
      0.4665965409087062,
      0.4600391908024577,
      0.453573445134856,
      0.44719781537490344,
      0.4409108452610693,
      0.43471110995201245,
      0.42859721501118386,
      0.4225677952819328,
      0.41662151408843107,
      0.41075706253778194,
      0.4049731586988326,
      0.39926854653428195,
      0.3936419953514376,
      0.38809229908890513,
      0.3826182756459273,
      0.3772187662315629,
      0.3718926348132798,
      0.36663876718423083,
      0.3614560705921894,
      0.3563433344653078,
      0.3512991838225958,
      0.34632234193589706,
      0.341411657124694,
      0.3365662739156346,
      0.33178546584495233,
      0.3270684712007719,
      0.32241450167534325,
      0.317822735786918,
      0.31329270046450197,
      0.3088243646966268,
      0.3044174860414412,
      0.3000716027552223,
      0.29578611083186046,
      0.2915603152863813,
      0.28739346483016637,
      0.2832847753454165,
      0.279233459161081,
      0.27523881372510384,
      0.271300151160629,
      0.26741674380861413,
      0.26358784267202484,
      0.25981296878122256,
      0.25609178478030775,
      0.25242380192669617,
      0.24880843415938547,
      0.2452450342341609,
      0.24173291761099264,
      0.23827137881617738,
      0.23485970213453108,
      0.2314971690780418,
      0.22818306300320929,
      0.22491667234647197,
      0.2216972927448261,
      0.21852422852262163,
      0.2153967466314662,
      0.21231406635880157,
      0.20927543670462564,
      0.2062801180739952,
      0.20332740588387313,
      0.2004166296163469,
      0.19754714483972483,
      0.19471832765157646,
      0.19192957093839444,
      0.18918028189163474,
      0.1864698801730546,
      0.18379779653265,
      0.18116347216724438,
      0.1785663578503291,
      0.17600591359505777,
      0.173481608186638,
      0.17099291885124945,
      0.1685393311493631,
      0.1661203385590353,
      0.1637354425180893,
      0.16138415212413476,
      0.1590659840006395,
      0.15678046211268049,
      0.15452711764663146,
      0.15230548906816338,
      0.15011512174835748,
      0.1479555678696899,
      0.1458263863888727,
      0.14372714291030791,
      0.14165740953400102,
      0.13961676480474655,
      0.13760479352696622,
      0.13562108673804543,
      0.13366524138792832,
      0.13173686054519043,
      0.12983555318875487,
      0.12796093413834483,
      0.12611262372910242,
      0.12429024816458017,
      0.12249343901014599,
      0.12072183323703503,
      0.11897507315000148,
      0.11725280629972759,
      0.11555468543717391,
      0.11388036844035024,
      0.11222951807251647,
      0.11060180213194136,
      0.10899689317868146,
      0.10741446865248178,
      0.105854210523072,
      0.10431580543225331,
      0.10279894461654752,
      0.10130332375563753,
      0.09982864293771095,
      0.0983746066015426,
      0.09694092344836108,
      0.09552730642554857,
      0.0941334725788995,
      0.09275914298184296,
      0.09140404286333105,
      0.09006790136850235,
      0.08875045144054235,
      0.08745142985624867,
      0.0861705772872318,
      0.08490763804722493,
      0.0836623601387207,
      0.08243449509570737,
      0.08122379803993353,
      0.08003002759028269,
      0.07885294589923453,
      0.07769231849543327,
      0.07654791420475837,
      0.07541950521376654,
      0.07430686684617083,
      0.07320977774833409,
      0.07212801964126553,
      0.07106137730326316,
      0.07000963866866587,
      0.0689725945148743,
      0.06795003876745995,
      0.06694176828220544,
      0.0659475827907166,
      0.06496728475148045,
      0.06400067950371767,
      0.06304757515162496,
      0.062107782449575225,
      0.06118111491648799,
      0.06026738869630366,
      0.05936642240278077,
      0.05847803737453505,
      0.05760205740849861,
      0.05673830870011167,
      0.05588662011685162,
      0.05504682279442899,
      0.05421875025402636,
      0.05340223846446029,
      0.05259712557651256,
      0.05180325210129064,
      0.051020460756994374,
      0.05024859646706288,
      0.049487506503753005,
      0.04873704015655624,
      0.047997048787402824,
      0.04726738584542461,
      0.046547906896167265,
      0.04583846952545728,
      0.04513893331732007,
      0.0444491598844038,
      0.04376901274036613,
      0.04309835732617342,
      0.04243706097352979,
      0.04178499280869504,
      0.04114202389535939,
      0.04050802703197965,
      0.039882876934171134,
      0.039266449982317875,
      0.03865862423963149,
      0.038059279565422266,
      0.03746829746197154,
      0.03688556117909626,
      0.03631095548146949,
      0.03574436673080667,
      0.035185682935628654,
      0.03463479373107646,
      0.03409159018388222,
      0.03355596493352465,
      0.03302781224716898,
      0.032507027756365194,
      0.031993508577733004,
      0.03148715331523639,
      0.0309878619314372,
      0.030495535696949145,
      0.03001007743154166,
      0.02953139126755242,
      0.02905938266333604,
      0.02859395842826694,
      0.028135026530137473,
      0.02768249642254175,
      0.027236278748118,
      0.02679628532639795,
      0.026362429266879147,
      0.02593462491546073,
      0.02551278782484445,
      0.02509683471039269,
      0.024686683372392684,
      0.024282252953462855,
      0.023883463634657414,
      0.023490236628612732,
      0.02310249432917437,
      0.022720160243032212,
      0.02234315881104519,
      0.02197141567238149,
      0.021604857417733936,
      0.021243411683761718,
      0.02088700710494326,
      0.020535573473146634,
      0.02018904143700811,
      0.019847342516966068,
      0.019510409262934694,
      0.019178175206324557,
      0.01885057477791958,
      0.018527543318144185,
      0.01820901707807213,
      0.017894933287891785,
      0.01758522996155256,
      0.017279845908593584,
      0.016978720875921796,
      0.016681795540633176,
      0.016389011239321856,
      0.01610031026618352,
      0.01581563593928209,
      0.015534934700026995,
      0.015258154376793712,
      0.014985242460214163,
      0.014716146361816104,
      0.014450813646668186,
      0.014189192413125898,
      0.013931231152634463,
      0.013676879037873828,
      0.013426085583259436,
      0.013178801197737072,
      0.012934976869317539,
      0.012694564252777728,
      0.012457515594624175,
      0.012223783882952564,
      0.011993322631137145,
      0.011766086121847097,
      0.01154202930393004,
      0.011321107672971053,
      0.011103277319418903,
      0.010888495048911767,
      0.010676718169914574,
      0.010467904654761799,
      0.010262013057175022,
      0.010059002420691094,
      0.009858832359674285,
      0.009661463199765333,
      0.009466855784100564,
      0.009274971415071996,
      0.009085771906110032,
      0.008899219756214344,
      0.008715277901030669,
      0.008533909898315243,
      0.008355079746567372,
      0.008178751813881285,
      0.00800489111803804,
      0.00783346313178503,
      0.007664433889202913,
      0.007497769858739728,
      0.007333437817943219,
      0.007171405123973703,
      0.0070116396743835135,
      0.006854109730371723,
      0.006698783995681473,
      0.006545631659305385,
      0.0063946223063024955,
      0.006245725893881287,
      0.006098912938637444,
      0.005954154171984008,
      0.00581142085158301,
      0.005670684654826805,
      0.0055319176947642365,
      0.0053950923917048185,
      0.005260181530254832,
      0.005127158400834989,
      0.004995996611780528,
      0.004866670094202872,
      0.004739153075826523,
      0.004613420285255553,
      0.004489446757239646,
      0.004367207868363845,
      0.004246679361323721,
      0.004127837236860114,
      0.004010658047694156,
      0.003895118500923842,
      0.0037811956723008706,
      0.0036688668714159422,
      0.00355810981353041,
      0.0034489025321682693,
      0.0033412232800060977,
      0.0032350507363058394,
      0.003130363776790347,
      0.003027141575260662,
      0.0029253636362656433,
      0.00282500982925849,
      0.0027260601503638422,
      0.0026284950066595594,
      0.002532294986452505,
      0.0024374410376260007,
      0.002343914303657474,
      0.0022516962787067006,
      0.0021607685185392094,
      0.002071112969132711,
      0.001982711870141334,
      0.0018955476788334229,
      0.0018096031095258375,
      0.0017248610654716375,
      0.0016413046992011147,
      0.0015589174670525697,
      0.0014776830389877657,
      0.0013975852725077462,
      0.0013186082001491446,
      0.00124073613861382,
      0.0011639536463259328,
      0.0010882455582565537,
      0.001013596779797237,
      0.0009399924949966168,
      0.0008674181018091051,
      0.0007958591740097693,
      0.0007253015127005062,
      0.0006557311286454099,
      0.0005871341873673367,
      0.0005194969866305618,
      0.0004528061698983244,
      0.00038704841937055453,
      0.0003222108045416004
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.567001405096827,
      10.337613923675958,
      10.100806022930241,
      9.859485113818897,
      9.61602867807416,
      9.372507534162054,
      9.130708729112877,
      8.892098614943611,
      8.657855885025212,
      8.428878262378205,
      8.205783635942542,
      7.9889253149412305,
      7.778418634415835,
      7.5741767065738115,
      7.375950043555465,
      7.183364972618519,
      6.99595919775397,
      6.813217583726967,
      6.634610322553669,
      6.459617413066612,
      6.287739507919535,
      6.118521313412806,
      5.9515684303775735,
      5.786549532552676,
      5.623204491105238,
      5.461349202196729,
      5.300873379395463,
      5.141744758146472,
      4.984003824522543,
      4.827761929298025,
      4.673186812598808,
      4.520508655062186,
      4.370007689600382,
      4.222006929109799,
      4.076885930611177,
      3.935058676982464,
      3.7969336667606064,
      3.662900502628118,
      3.5333186955185827,
      3.4085082444921277,
      3.2887434004907052,
      3.174245922228157,
      3.0651804090393657,
      2.9616558526443164,
      2.863716482564835,
      2.7713455434676217,
      2.6844599495452015,
      2.6029256872478874,
      2.5265691640591803,
      2.4551633042186403,
      2.3884645703724816,
      2.326204185140365,
      2.268080847535856,
      2.2137746878010476,
      2.1629235405940945,
      2.1151364821189635,
      2.0700540599292996,
      2.0273408883024095,
      1.986683840513876,
      1.947807687578007,
      1.9104900818036796,
      1.8745573133272873,
      1.8398704464969875,
      1.8063118653647663,
      1.7737806076197067,
      1.7421953572130287,
      1.7114899522257458,
      1.681609400566326,
      1.6525070302404141,
      1.6241424472147505,
      1.5964782535884527,
      1.5694791564960382,
      1.5431140630816103,
      1.5173553426306947,
      1.4921780520298966,
      1.467559381709219,
      1.4434782572671778,
      1.419915049385782,
      1.3968513600589834,
      1.374269950017605,
      1.352155285223933,
      1.3304932540030452,
      1.3092705355208658,
      1.2884740498818414,
      1.2680910012036382,
      1.2481089532854717,
      1.2285158709150261,
      1.2093001421842748,
      1.1904505854696736,
      1.1719564467987458,
      1.1538073924913617,
      1.1359934965539908,
      1.1185059026533504,
      1.1013366688512987,
      1.0844782439511915,
      1.0679232120360378,
      1.0516646657682682,
      1.0356968384221825,
      1.0200137272803729,
      1.0046090187088312,
      0.989476269886152,
      0.9746090281169255,
      0.9600009090078663,
      0.945645645725088,
      0.93153781284134,
      0.9176734669783898,
      0.9040483961083595,
      0.8906579865481216,
      0.8774974140820817,
      0.8645617697302884,
      0.8518461424271957,
      0.8393456721988117,
      0.8270555837564163,
      0.8149712074827327,
      0.8030879909418539,
      0.7914015052420773,
      0.7799074473088411,
      0.7686016390871864,
      0.7574800260811607,
      0.7465386743759146,
      0.7357737675456759,
      0.7251816027853625,
      0.7147585865157743,
      0.704501230825292,
      0.6944061497454476,
      0.6844700550417618,
      0.6746897528494864,
      0.6650621400933822,
      0.6555841986870583,
      0.646252943903406,
      0.6370654512858382,
      0.6280189010698926,
      0.6191105665003682,
      0.6103378052216366,
      0.6016980522919069,
      0.5931886769649727,
      0.5848066117999897,
      0.5765489238807299,
      0.5684129441761941,
      0.5603962001654216,
      0.5524963693139773,
      0.5447112467144889,
      0.5370387227398385,
      0.5294767668918817,
      0.5220234166680463,
      0.5146767691862908,
      0.5074349759908965,
      0.5002962379064116,
      0.49325880159112606,
      0.4863209566704837,
      0.4794810338626888,
      0.4727374028531262,
      0.46608847086463784,
      0.4595326809098512,
      0.453068510596275,
      0.4466944710560589,
      0.4404091058537663,
      0.43421098974944183,
      0.4280987278553229,
      0.4220709546063776,
      0.41612633290405193,
      0.41026355351416655,
      0.404481334087403,
      0.3987784182892668,
      0.39315357511834625,
      0.3876055980861129,
      0.3821333047950601,
      0.37673553600299514,
      0.37141115516809586,
      0.36615904794309906,
      0.3609781213423384,
      0.35586714581375484,
      0.35082474437617506,
      0.3458496468675843,
      0.34094075190587847,
      0.33609727224878094,
      0.3313184510250841,
      0.32660351009240635,
      0.32195164018597316,
      0.3173620308786274,
      0.31283433996018645,
      0.30836852160157474,
      0.3039642733738082,
      0.2996210931941422,
      0.29533834957228783,
      0.29111532906250515,
      0.2869512679673082,
      0.28284537340969346,
      0.2787968621621687,
      0.2748050396116203,
      0.2708692077315823,
      0.266988632026248,
      0.2631625754310909,
      0.2593905791081931,
      0.25567228973649836,
      0.2520072078200228,
      0.24839474015708862,
      0.24483423455941877,
      0.24132500321026887,
      0.23786633832484905,
      0.23445752267956851,
      0.23109783662728942,
      0.2277865628867902,
      0.22452298929009462,
      0.22130641115392535,
      0.21813613241944957,
      0.2150114099975915,
      0.21193146226616316,
      0.20889554998386972,
      0.20590297123998794,
      0.20295304528090788,
      0.2000450877625533,
      0.19717843713423513,
      0.19435245797823494,
      0.19156653549392744,
      0.18882007174915427,
      0.1861124828707827,
      0.18344319740634887,
      0.180811654871142,
      0.17821730506193614,
      0.17565960730742552,
      0.17313802995938699,
      0.17065205001404238,
      0.16820115290189155,
      0.16578483199301844,
      0.16340258866366578,
      0.16105393196316042,
      0.1587383784981736,
      0.1564554523364173,
      0.15420468477172725,
      0.15198561426685173,
      0.14979778621918596,
      0.14764075289772502,
      0.14551407329719532,
      0.1434173130685644,
      0.14135004441098847,
      0.13931184581066827,
      0.13730230206508667,
      0.1353210042999544,
      0.13336754973139225,
      0.13144154146532971,
      0.12954258857529574,
      0.12767030589905287,
      0.12582431396084043,
      0.12400423890479634,
      0.12220971233759233,
      0.12044037127682192,
      0.11869585809752414,
      0.116975820501548,
      0.11527991130692192,
      0.11360778840607143,
      0.1119591146957564,
      0.11033355792784084,
      0.10873079074096809,
      0.10715049062563842,
      0.10559233973352006,
      0.10405602488646898,
      0.10254123726401512,
      0.10104767267134038,
      0.09957503132029881,
      0.09812301777794222,
      0.09669134077684641,
      0.09527971330728915,
      0.0938878524688086,
      0.09251547945710216,
      0.0911623195520892,
      0.08982810191012063,
      0.08851255967532658,
      0.08721542969065427,
      0.08593645269945871,
      0.0846753731310343,
      0.08343193907422783,
      0.08220590216190421,
      0.08099701761451841,
      0.07980504422299149,
      0.07862974407410292,
      0.07747088285675954,
      0.07632822945610045,
      0.07520155611568614,
      0.07409063829668408,
      0.07299525461870603,
      0.07191518690137993,
      0.07085022008018525,
      0.06980014213404057,
      0.06876474412861604,
      0.06774382004848405,
      0.06673716677030016,
      0.0657445839986786,
      0.06476587441629468,
      0.06380084344049594,
      0.06284929922590701,
      0.06191105259400996,
      0.060985917154078834,
      0.0600737091417278,
      0.059174247337254335,
      0.05828735315549028,
      0.057412850494423406,
      0.056550565716870886,
      0.055700327634983504,
      0.05486196757413931,
      0.05403531908334189,
      0.053220218185337974,
      0.05241650322238627,
      0.05162401467899119,
      0.050842595492913784,
      0.05007209061516112,
      0.049312347328677716,
      0.04856321504403838,
      0.04782454519246796,
      0.047096191397280704,
      0.04637800924250437,
      0.04566985642815868,
      0.04497159263405396,
      0.04428307962044451,
      0.04360418093903687,
      0.04293476219137162,
      0.04227469079559574,
      0.04162383598929151,
      0.04098206887735065,
      0.0403492624394083,
      0.03972529124838883,
      0.03911003179017473,
      0.03850336234193241,
      0.037905162828757756,
      0.03731531480749443,
      0.0367337015014234,
      0.03616020784117649,
      0.03559472039789467,
      0.0350371272843053,
      0.03448731816053093,
      0.03394518428710069,
      0.03341061837097379,
      0.032883514560420046,
      0.03236376865516618,
      0.03185127779502314,
      0.031345940634159325,
      0.030847657295004893,
      0.030356329248607046,
      0.029871859222425325,
      0.029394151427650155,
      0.028923111458544655,
      0.028458646254307055,
      0.02800066393888659,
      0.02754907386890514,
      0.027103786781919072,
      0.026664714650807313,
      0.026231770708776386,
      0.02580486935780367,
      0.025383926196574726,
      0.024968858002057594,
      0.024559582830045393,
      0.02415601970726454,
      0.023758088899902448,
      0.02336571175390698,
      0.02297881072457532,
      0.022597309289267772,
      0.022221132042229193,
      0.021850204653782034,
      0.021484453878436054,
      0.021123807452359658,
      0.020768194109525726,
      0.02041754351897378,
      0.020071786422627677,
      0.019730854491423658,
      0.019394680324729546,
      0.019063197587297014,
      0.01873634081903688,
      0.018414045293238205,
      0.0180962473928262,
      0.017782884373621667,
      0.01747389433478441,
      0.01716921628169097,
      0.01686878999495954,
      0.016572555991658352,
      0.016280455801047117,
      0.01599243181811446,
      0.015708427128662085,
      0.01542838786835293,
      0.015152262108771573,
      0.0148799975228568,
      0.014611541701546738,
      0.014346842355396315,
      0.014085847707380202,
      0.013828506379125116,
      0.013574767520047512,
      0.013324580843294513,
      0.013077896803877834,
      0.012834666480795849,
      0.012594841537658299,
      0.012358374313110659,
      0.01212521780556238,
      0.011895325813481522,
      0.011668652550445751,
      0.011445152949119897,
      0.01122478256059835,
      0.011007497628253569,
      0.010793254902696168,
      0.010582011828192564,
      0.010373726308115934,
      0.010168357072620114,
      0.009965863236811257,
      0.00976620449036181,
      0.00956934109171803,
      0.009375233973271394,
      0.009183844447990936,
      0.008995134547519056,
      0.00880906675219777,
      0.008625604066649186,
      0.008444710052540992,
      0.008266348692214489,
      0.00809048453980461,
      0.007917082594885543,
      0.0077461084260165075,
      0.007577527997271359,
      0.007411307846651376,
      0.00724741485270908,
      0.007085816486454008,
      0.006926480562693042,
      0.00676937546375452,
      0.00661446991337449,
      0.006461733153192038,
      0.006311134777370054,
      0.006162644829507971,
      0.006016233856818027,
      0.0058718727183710556,
      0.0057295326613645645,
      0.005589185494596143,
      0.005450803376135336,
      0.005314358665652098,
      0.005179824242344932,
      0.005047173404736837,
      0.004916379785012593,
      0.00478741736641052,
      0.004660260470060224,
      0.004534883864171077,
      0.004411262556808393,
      0.004289371945948002,
      0.004169187862773331,
      0.004050686445189421,
      0.003933844062995042,
      0.003818637492468545,
      0.0037050438441020668,
      0.003593040549327098,
      0.0034826054243977484,
      0.0033737165325225596,
      0.0032663521486133236,
      0.003160490833059555,
      0.003056111576513303,
      0.0029531937174824834,
      0.002851716835753724,
      0.0027516606213429723,
      0.0026530052336536307,
      0.002555731121811451,
      0.0024598188907452414,
      0.002365249460340759,
      0.0022720040796066483,
      0.0021800641703748633,
      0.002089411483443511,
      0.0020000280013355146,
      0.0019118958678014787,
      0.0018249975846363698,
      0.00173931591129762,
      0.0016548337717362837,
      0.0015715344483085503,
      0.0014894013186728995,
      0.0014084180834771608,
      0.0013285686385445538,
      0.0012498371580604516,
      0.0011722079560051127,
      0.001095665640921656,
      0.001020194934604713,
      0.0009457807712442206,
      0.0008724084990113484,
      0.0008000634660878914,
      0.0007287313325987126,
      0.0006583978612366072,
      0.0005890490078046217,
      0.0005206710570146273,
      0.0004532503775496812,
      0.0003867736169573827,
      0.00032122757255214273,
      0.0002565991589321906
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566994273807227,
      10.337589836922982,
      10.100756942155545,
      9.85940557278597,
      9.615914930253116,
      9.372356780935204,
      9.130519322682554,
      8.891870237219031,
      8.65758874504006,
      8.428572889788352,
      8.2054407076662,
      7.988545529217836,
      7.7780026146654455,
      7.57372494334434,
      7.37546286504517,
      7.182842541298529,
      6.995401374363661,
      6.81262410094648,
      6.633980925063162,
      6.458951965384285,
      6.287038102500787,
      6.117784284283761,
      5.950796351201808,
      5.7857432632173476,
      5.622365190300816,
      5.460478372745776,
      5.299972915609875,
      5.140817009620016,
      4.983051592867428,
      4.8267882702767775,
      4.67219514234236,
      4.519502867471271,
      4.368992195753122,
      4.220986708407817,
      4.075866723204158,
      3.934046172826794,
      3.7959333468060024,
      3.661917540274588,
      3.532357866831313,
      3.4075738847532704,
      3.2878394327040645,
      3.173375680921115,
      3.064346582385311,
      2.96086030580457,
      2.8629602710490554,
      2.770628827820535,
      2.683781905649577,
      2.6022849902306024,
      2.5259635749437117,
      2.4545902232538728,
      2.3879214333309804,
      2.325688163055858,
      2.267588743111036,
      2.2133032284884444,
      2.1624689528316976,
      2.114695009337698,
      2.069622386151473,
      2.026915808662971,
      1.9862625959660913,
      1.9473880932819396,
      1.9100705317433435,
      1.8741366324990048,
      1.8394477398385505,
      1.8058863324629215,
      1.7733516368189195,
      1.7417625400713657,
      1.711053025315143,
      1.6811682038263955,
      1.6520614772559647,
      1.62369250397269,
      1.5960239475250009,
      1.5690205438358968,
      1.5426512094215814,
      1.5168883199327068,
      1.4917069362592856,
      1.4670842507629733,
      1.4429991907173556,
      1.419432127137263,
      1.3963646618015464,
      1.3737795656421496,
      1.3516613206990882,
      1.329995834289759,
      1.3087697814932115,
      1.2879700666731797,
      1.2675838829438357,
      1.2475987859154705,
      1.2280027347562865,
      1.2087841131419887,
      1.189931736242064,
      1.171434847480818,
      1.153283111030196,
      1.1354665994609578,
      1.1179764849199394,
      1.1008048348749,
      1.0839440966350105,
      1.0673868405676075,
      1.0511263139344365,
      1.0351567600934846,
      1.019472111364498,
      1.0040660099318985,
      0.9889319824787244,
      0.9740635552207683,
      0.9594543293435864,
      0.9450980279877936,
      0.9309894753668956,
      0.9171247454882316,
      0.9034995266580808,
      0.890109138213014,
      0.8769487105034498,
      0.8640133036844474,
      0.8512979856843542,
      0.83879788252308,
      0.8265082094694173,
      0.8144242903632853,
      0.8025415685877253,
      0.7908556123399015,
      0.7793621162222445,
      0.7680569006041786,
      0.7569359098392214,
      0.7459952094755188,
      0.7352309823103143,
      0.7246395248894865,
      0.714217243225851,
      0.703960649177753,
      0.69386635630605,
      0.6839310761864327,
      0.6741516146525919,
      0.6645248682808834,
      0.6550478177645893,
      0.6457174765499458,
      0.6365309205310858,
      0.6274853303766987,
      0.6185779793554304,
      0.6098062249462634,
      0.6011675019456071,
      0.5926591996606496,
      0.584278279574021,
      0.5760217921297531,
      0.5678870571851353,
      0.5598715943982744,
      0.5519730758335317,
      0.5441892928387148,
      0.5365181329922981,
      0.528957563656198,
      0.5215056210567437,
      0.5141604014921208,
      0.5069200555690729,
      0.49978278325080333,
      0.49274683052788176,
      0.4858104866969902,
      0.47897208191893204,
      0.4722299854927769,
      0.46558260408800917,
      0.45902838039687477,
      0.452565791729088,
      0.44619334870644434,
      0.43990959449449274,
      0.43371310350797887,
      0.42760248053657773,
      0.42157635965825185,
      0.4156334034535803,
      0.409772302245145,
      0.4039917732395,
      0.39829055975297817,
      0.3926674304478767,
      0.38712117860904216,
      0.3816506214118877,
      0.3762545992101321,
      0.37093197515210996,
      0.36568163451744573,
      0.3605024838282706,
      0.3553932751063434,
      0.3503526293903851,
      0.34537928299076964,
      0.34047222068469574,
      0.33563067440869665,
      0.3308538647248197,
      0.3261409952492115,
      0.3214912379337844,
      0.3169038332497946,
      0.31237855393327274,
      0.3079152975030806,
      0.30351370890452206,
      0.2991732505637095,
      0.29489326708116614,
      0.2906730288272703,
      0.2865117611280557,
      0.28240866381824553,
      0.27836295852188914,
      0.27437395872609877,
      0.27044095658920003,
      0.26656321107135783,
      0.26273999725511804,
      0.25897087627772375,
      0.25525547903768897,
      0.2515932953930526,
      0.2479837249801109,
      0.24442611092428654,
      0.24091976195695758,
      0.23746396798484903,
      0.23405801027731804,
      0.23070116819434683,
      0.22739272367750937,
      0.2241319641708815,
      0.22091818454364628,
      0.21775068855741447,
      0.21462872319727816,
      0.21155150581829393,
      0.2085183007252496,
      0.2055284084882402,
      0.20258115731754384,
      0.19967589732272845,
      0.19681199090801427,
      0.19398879107904118,
      0.191205665042579,
      0.18846200282541864,
      0.18575721257244523,
      0.18309071727349302,
      0.18046195284333302,
      0.1778703666948964,
      0.17531541650908694,
      0.17279656948946223,
      0.17031330194018976,
      0.1678650987467159,
      0.16545145304369585,
      0.16307186612039995,
      0.16072584690861721,
      0.15841291205627814,
      0.15613258558259727,
      0.15388439881367538,
      0.15166789022952207,
      0.14948260519062512,
      0.14732809599511762,
      0.1452039217260885,
      0.14310964804795295,
      0.1410448473014556,
      0.13900909800708716,
      0.13700198520064183,
      0.1350230999795921,
      0.13307203951935856,
      0.13114840705632336,
      0.12925181169835,
      0.1273818683228683,
      0.1255381975625855,
      0.12372042557333972,
      0.12192818405446108,
      0.12016111013350794,
      0.11841884629353229,
      0.11670104019008742,
      0.11500734471982066,
      0.11333741782585918,
      0.11169092254220013,
      0.11006752687002966,
      0.10846690349201682,
      0.10688872993450514,
      0.10533268842741168,
      0.10379846575433763,
      0.10228575326391277,
      0.10079424687740476,
      0.09932364681270937,
      0.09787365765985045,
      0.09644398835020913,
      0.09503435198200118,
      0.09364446563381322,
      0.09227405070757932,
      0.09092283251632954,
      0.08959054030546931,
      0.08827690725581162,
      0.08698167034766585,
      0.08570457038446479,
      0.08444535182279644,
      0.0832037629177923,
      0.08197955540135701,
      0.08077248456092259,
      0.0795823092479072,
      0.07840879171125296,
      0.07725169758932775,
      0.07611079597138051,
      0.074985859156161,
      0.07387666273411664,
      0.07278298542686241,
      0.07170460909693,
      0.07064131879428236,
      0.0695929025410161,
      0.06855915144793687,
      0.06753985959135651,
      0.06653482399917766,
      0.06554384447914417,
      0.06456672379459179,
      0.06360326751052293,
      0.06265328380257859,
      0.061716583746123085,
      0.06079298092269004,
      0.059882291624260856,
      0.058984334752588734,
      0.058098931744156014,
      0.057225906552192424,
      0.05636508570176854,
      0.05551629821777408,
      0.054679375431702565,
      0.05385415105152884,
      0.05304046113248627,
      0.05223814413294696,
      0.05144704059725151,
      0.05066699349914161,
      0.049897847986195475,
      0.049139451406428385,
      0.04839165315837099,
      0.047654304934156365,
      0.04692726038881881,
      0.046210375148007576,
      0.04550350709046067,
      0.04480651593574958,
      0.044119263431048245,
      0.043441613236723034,
      0.042773431029466055,
      0.04211458426291662,
      0.04146494242511854,
      0.04082437671505264,
      0.040192760161796244,
      0.03956996753739832,
      0.038955875368529236,
      0.03835036199319005,
      0.0377533073985763,
      0.03716459318597112,
      0.03658410273269605,
      0.036011721036554686,
      0.03544733470946456,
      0.03489083191386648,
      0.034342102406761256,
      0.03380103751368123,
      0.033267530009843,
      0.03274147424878851,
      0.032222766189049075,
      0.031711303045073726,
      0.031206983531685828,
      0.030709707799390844,
      0.030219377394071597,
      0.02973589519376735,
      0.029259165461712176,
      0.028789093806162732,
      0.028325587206034633,
      0.0278685539334571,
      0.02741790343065235,
      0.02697354656021988,
      0.02653539527556864,
      0.02610336290650786,
      0.025677364036331963,
      0.02525731426337033,
      0.0248431304559953,
      0.024434730694449795,
      0.024032034179437344,
      0.02363496115128974,
      0.023243433073909896,
      0.022857372512050774,
      0.022476703056983675,
      0.022101349345619158,
      0.02173123715978869,
      0.02136629328201822,
      0.021006445450547865,
      0.020651622470720034,
      0.02030175415884832,
      0.019956771308954162,
      0.019616605695560712,
      0.019281189990501425,
      0.018950457849288782,
      0.0186243438610158,
      0.018302783559380077,
      0.017985713373572652,
      0.01767307054455823,
      0.01736479312728243,
      0.017060820199580932,
      0.016761091661484068,
      0.016465548222477217,
      0.016174131455209663,
      0.015886783738331006,
      0.015603448227785529,
      0.015324070529156224,
      0.015048598809415658,
      0.014776981010891014,
      0.01450916487633107,
      0.014245098310474012,
      0.013984729518889016,
      0.013728007313976682,
      0.013474881066937556,
      0.013225300559817252,
      0.012979216285071172,
      0.012736579302119024,
      0.01249734147173253,
      0.012261455127146822,
      0.012028873370611065,
      0.011799549902209674,
      0.011573439086261864,
      0.011350495950409455,
      0.011130676142966783,
      0.010913935828786657,
      0.010700231938740125,
      0.01048952193482638,
      0.010281763802187973,
      0.010076916152402589,
      0.009874938302864521,
      0.009675790046990002,
      0.009479431674728043,
      0.009285824134899926,
      0.0090949289198619,
      0.008906708035670598,
      0.008721123948047053,
      0.008538139702613447,
      0.00835771887499203,
      0.008179825548940338,
      0.008004424378941917,
      0.007831480515155309,
      0.0076609594156670305,
      0.0074928271562475866,
      0.007327050284578091,
      0.007163595733372306,
      0.0070024310470087735,
      0.00684352406323895,
      0.006686843206757909,
      0.006532357339872489,
      0.006380035684908562,
      0.006229847894175971,
      0.00608176398806536,
      0.00593575460005064,
      0.005791790613330625,
      0.005649843383747971,
      0.00550988460816744,
      0.005371886518808602,
      0.005235821678879296,
      0.0051016630146654965,
      0.004969383747614971,
      0.004838957537276235,
      0.0047103584796341896,
      0.004583560960807176,
      0.004458539766639926,
      0.004335270002775828,
      0.0042137270731478224,
      0.004093886723423348,
      0.0039757251941368735,
      0.0038592189170207356,
      0.0037443447727497797,
      0.003631079961881226,
      0.0035194018644961406,
      0.003409288269442355,
      0.003300717248992897,
      0.0031936671682534666,
      0.0030881167082180356,
      0.0029840448903591206,
      0.0028814310387197646,
      0.0027802546221170864,
      0.0026804954793874934,
      0.0025821338547835997,
      0.0024851502183497677,
      0.0023895251321992567,
      0.0022952395939433183,
      0.0022022748475409634,
      0.0021106124242967687,
      0.0020202340319447694,
      0.0019311217248284543,
      0.0018432578206783621,
      0.0017566247992479055,
      0.001671205386367556,
      0.0015869826450644394,
      0.0015039398136526172,
      0.0014220603036566514,
      0.00134132778082304,
      0.001261726196470606,
      0.001183239750006777,
      0.001105852775990435,
      0.001029549898913964,
      0.0009543159281900843,
      0.0008801359068288822,
      0.000806995033469317,
      0.00073487876972501,
      0.0006637727260402475,
      0.0005936627958212385,
      0.0005245349918099422,
      0.0004563755441048509,
      0.00038917097324142255,
      0.00032290785909117834,
      0.00025757305551167797,
      0.00019315342212592574
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566987156350375,
      10.33756579388054,
      10.100707944879154,
      9.859326158639254,
      9.615801355401452,
      9.372206254670543,
      9.130330206969443,
      8.891642221737452,
      8.657322044901596,
      8.428268042428208,
      8.205098396828241,
      7.988166456949999,
      7.777587406925122,
      7.573274093920665,
      7.37497670374392,
      7.182321233570544,
      6.99484478357088,
      6.812031960219277,
      6.633352981353788,
      6.458288086608009,
      6.286338394697815,
      6.117049093701834,
      5.95002625300557,
      5.784939117755105,
      5.621528156590852,
      5.459609952790223,
      5.299075003400831,
      5.139891953454696,
      4.982102192628092,
      4.825817577712746,
      4.671206567893074,
      4.518500297488819,
      4.367980031066034,
      4.21996995842892,
      4.074851145802436,
      3.9330374309933123,
      3.794936893952889,
      3.6609385238874115,
      3.531401036695048,
      3.4066435781020514,
      3.2869395679106574,
      3.172509562841831,
      3.063516872466142,
      2.9600688460529256,
      2.862208096911354,
      2.769916007376651,
      2.6831076152141744,
      2.6016479063921096,
      2.5253614617595783,
      2.4540204858446284,
      2.387381512505425,
      2.3251752363071367,
      2.2670996214013743,
      2.212834648798808,
      2.162017152218697,
      2.1142562419619386,
      2.069193346225457,
      2.0264933016544964,
      1.9858438722029714,
      1.9469709757819111,
      1.9096534201930848,
      1.8737183570632472,
      1.839027410824612,
      1.8054631530720366,
      1.7729249981506174,
      1.741332035613979,
      1.7106183936983126,
      1.6807292869591053,
      1.6516181905927434,
      1.6232448148536265,
      1.5955718845700593,
      1.5685641643268637,
      1.5421905798782736,
      1.516423513200833,
      1.4912380288371274,
      1.466611322147777,
      1.4425223211086813,
      1.418951397361271,
      1.3958801525038302,
      1.373291368004878,
      1.3511695406350315,
      1.3295005965225375,
      1.3082712067790117,
      1.2874682605494436,
      1.2670789400046603,
      1.2470907923688732,
      1.2274917709389102,
      1.208270255329031,
      1.1894150571410718,
      1.1709154176461314,
      1.1527609993152779,
      1.1349418727621934,
      1.1174492382423953,
      1.1002751719497053,
      1.0834121201861575,
      1.0668526395777065,
      1.0505901325166445,
      1.0346188525161804,
      1.0189326669523844,
      1.0035251733371153,
      0.9883898681277393,
      0.9735202565157342,
      0.9589099250226624,
      0.9445525871289694,
      0.930443316493285,
      0.9165782043115148,
      0.9029528396366365,
      0.8895624744227316,
      0.876402193538497,
      0.8634670265294834,
      0.8507520204697332,
      0.8382522872699656,
      0.8259630327535897,
      0.8138795742136536,
      0.801997350745138,
      0.7903119273219791,
      0.7788189963165003,
      0.7675143766895676,
      0.7563940118100668,
      0.7454539663194851,
      0.7346904224008773,
      0.7240996758575388,
      0.7136781324031307,
      0.7034223035444291,
      0.6933288025533437,
      0.6833943407675053,
      0.6736157237205247,
      0.6639898475644621,
      0.6545136915170702,
      0.6451842673474326,
      0.6359986517281054,
      0.6269540253484418,
      0.6180476615962756,
      0.6092769177013574,
      0.6006392281891019,
      0.5921320028672501,
      0.5837522325129744,
      0.5754969506670554,
      0.5673634656845344,
      0.5593492894701659,
      0.5514520886259818,
      0.5436696506939048,
      0.5359998604466429,
      0.528440683602421,
      0.5209901546218613,
      0.5136463689204483,
      0.506407476052287,
      0.49927167533337363,
      0.49223721225001876,
      0.48530237544907906,
      0.47846549472109806,
      0.47172493885995065,
      0.46507911416750447,
      0.458526462844605,
      0.45206546185890634,
      0.44569462155645545,
      0.439412484556369,
      0.43321762498415517,
      0.4271086470567088,
      0.4210841845744942,
      0.4151428997991601,
      0.4092834826876731,
      0.40350465002835595,
      0.39780514476257367,
      0.39218373526669364,
      0.3866392144451017,
      0.38117039906923533,
      0.37577612936552685,
      0.3704552679658771,
      0.36520669967128666,
      0.3600293307614072,
      0.3549218949035529,
      0.349883011176955,
      0.34491143435124083,
      0.3400062348892224,
      0.33516664368321225,
      0.33039186299344275,
      0.32568107779630184,
      0.32103344295840147,
      0.3164482673687274,
      0.31192541619038716,
      0.3074647329730147,
      0.3030658117777254,
      0.2987280805681698,
      0.2944508607110464,
      0.29023340695937616,
      0.2860749339822828,
      0.28197463447663335,
      0.2779317425105106,
      0.2739455701443684,
      0.2700154007759672,
      0.2661404874091597,
      0.26232011725844345,
      0.25855387192602647,
      0.2548413667120028,
      0.2511820810589719,
      0.24757540746737916,
      0.24402068409611605,
      0.24051721647701932,
      0.23706429233207543,
      0.23366119147046754,
      0.2303071921532411,
      0.2270015755398288,
      0.22374362861670086,
      0.22053264604031936,
      0.21736792792685936,
      0.21424871304358387,
      0.21117422126995306,
      0.20814371994005884,
      0.205156511771021,
      0.20221192620602432,
      0.19930931428757734,
      0.19644804462429957,
      0.1936275008701797,
      0.19084707670056844,
      0.1881061546779845,
      0.1854041237705416,
      0.18274039430870154,
      0.1801143937115387,
      0.17752556356362884,
      0.1749733576744476,
      0.17245724080830607,
      0.1699766875013542,
      0.16753118157938462,
      0.1651202154768917,
      0.1627432898401003,
      0.1603999134058313,
      0.15808960253919113,
      0.15581188114781752,
      0.15356628050145443,
      0.15135233905917259,
      0.14916960223333756,
      0.14701762237603477,
      0.1448959585623268,
      0.14280417657708433,
      0.14074184873590856,
      0.13870855371269142,
      0.13670387660118785,
      0.13472740853126758,
      0.13277874676102144,
      0.13085749453881826,
      0.12896326097686892,
      0.12709566110785775,
      0.12525431555908456,
      0.12343885061245578,
      0.12164889811668152,
      0.11988409527704395,
      0.11814408463957904,
      0.116428513875973,
      0.11473703603653507,
      0.11306930921586116,
      0.11142499640647435,
      0.10980376560381937,
      0.10820528956452834,
      0.1066292460070724,
      0.10507531717265248,
      0.10354318999348894,
      0.10203255588810192,
      0.10054311085802099,
      0.09907455517976095,
      0.09762659351227844,
      0.09619893481548099,
      0.0947912922897455,
      0.09340338316446616,
      0.09203492886302175,
      0.09068565481330419,
      0.08935529037360244,
      0.08804356879155144,
      0.08675022714447322,
      0.08547500633130259,
      0.08421765094452842,
      0.08297790922469896,
      0.08175553312684285,
      0.08055027796691473,
      0.07936190268815908,
      0.07819016962804251,
      0.07703484448478451,
      0.0758956963694181,
      0.07477249779993536,
      0.07366502432901055,
      0.07257305484472215,
      0.07149637127832939,
      0.0704347588580398,
      0.06938800571911212,
      0.06835590302738659,
      0.06733824489415029,
      0.06633482845116355,
      0.06534545366053034,
      0.0643699232458129,
      0.06340804284974874,
      0.06245962080492542,
      0.06152446818506867,
      0.06060239876138973,
      0.05969322891154284,
      0.05879677769096028,
      0.05791286673938389,
      0.057041320098171304,
      0.056181964291086045,
      0.05533462833492171,
      0.05449914369880268,
      0.053675344177466416,
      0.05286306592265928,
      0.052062147441986416,
      0.051272429463486244,
      0.05049375498367617,
      0.049725969260262695,
      0.0489689196703847,
      0.0482224558090175,
      0.04748642942407162,
      0.0467606943182951,
      0.04604510627150224,
      0.04533952315499392,
      0.0446438047897511,
      0.04395781306341966,
      0.043281411708547816,
      0.042614466453336164,
      0.04195684497972238,
      0.041308416701460786,
      0.04066905288586931,
      0.04003862655338663,
      0.03941701261313568,
      0.03880408778929453,
      0.03819973048777125,
      0.0376038207834964,
      0.037016240452712026,
      0.0364368729542177,
      0.03586560327086053,
      0.03530231816093395,
      0.034746905795891965,
      0.034199256030491614,
      0.0336592602653103,
      0.033126811497428896,
      0.0326018041536675,
      0.032084134171740976,
      0.03157369882913491,
      0.031070396952860665,
      0.030574128778808482,
      0.03008479592448464,
      0.02960230132298208,
      0.029126549327064676,
      0.02865744559611177,
      0.028194897261908006,
      0.027738812718239685,
      0.027289101504618135,
      0.026845674467677192,
      0.026408443838948227,
      0.025977322935974982,
      0.02555222626889995,
      0.025133069638274212,
      0.024719770009394338,
      0.024312245422789012,
      0.023910415144137713,
      0.023514199609375973,
      0.02312352031657567,
      0.022738299957983526,
      0.02235846219977515,
      0.021983931745946636,
      0.021614634361701912,
      0.021250496929360027,
      0.020891447268496132,
      0.020537414317875244,
      0.02018832800807356,
      0.019844119101729885,
      0.019504719354696838,
      0.019170061636853374,
      0.01884007975187772,
      0.018514708260479358,
      0.018193882752073468,
      0.017877539745110457,
      0.017565616508251464,
      0.017258051368009546,
      0.016954783403351575,
      0.01665575241062933,
      0.016360899220884222,
      0.016070165518985328,
      0.01578349373589444,
      0.0155008270392545,
      0.015222110496798533,
      0.014947292280279406,
      0.01467632063109559,
      0.014409143524235028,
      0.014145709113132822,
      0.01388596574269985,
      0.013629862223647746,
      0.01337734803899014,
      0.013128373120450726,
      0.012882887944771557,
      0.012640843676582492,
      0.012402192205946782,
      0.01216688597856437,
      0.011934878165619818,
      0.011706122601032182,
      0.011480573663859545,
      0.011258186423920452,
      0.011038916471753708,
      0.010822720132540403,
      0.010609554390112014,
      0.010399376756462618,
      0.010192145346801497,
      0.009987818925043196,
      0.009786356659428277,
      0.009587718343988713,
      0.009391864488870947,
      0.00919875605719794,
      0.009008354471061991,
      0.008820621829039735,
      0.008635520782933618,
      0.008453014365620667,
      0.008273066240746146,
      0.008095640617173522,
      0.00792070196851799,
      0.007748215498168272,
      0.007578146881938244,
      0.007410462196807744,
      0.007245127959646727,
      0.00708211123127264,
      0.006921379525231518,
      0.006762900813883288,
      0.006606643542664123,
      0.00645257660172979,
      0.006300669280187782,
      0.006150891310929977,
      0.006003212840836448,
      0.005857604428251936,
      0.005714037009993225,
      0.005572481984614035,
      0.005432911164391036,
      0.005295296739988798,
      0.0051596112602445765,
      0.005025827709367624,
      0.004893919426413422,
      0.004763860108562028,
      0.004635623892641877,
      0.004509185176974978,
      0.004384518781859194,
      0.00426159979354387,
      0.004140403727081626,
      0.004020906481232704,
      0.003903084269235387,
      0.00378691358274246,
      0.003672371252111006,
      0.003559434482760129,
      0.003448080816672916,
      0.0033382880249623018,
      0.003230034262520302,
      0.0031232978803115504,
      0.003018057652231419,
      0.00291429264717113,
      0.0028119820959283345,
      0.0027111056215730935,
      0.0026116431019999426,
      0.0025135747626654666,
      0.002416881061057864,
      0.0023215427114769995,
      0.0022275407049177076,
      0.002134856310667814,
      0.0020434710664301646,
      0.0019533667568134684,
      0.0018645254116636243,
      0.0017769294264806065,
      0.0016905612768450783,
      0.0016054037360932131,
      0.0015214398139140497,
      0.0014386528869358684,
      0.0013570264107137032,
      0.0012765441348191035,
      0.0011971900134231956,
      0.0011189482314731063,
      0.0010418032189002105,
      0.0009657395004550775,
      0.0008907419594416597,
      0.0008167956319362625,
      0.0007438857690572107,
      0.0006719978551366776,
      0.0006011176909372945,
      0.0005312310960732692,
      0.0004623240187309002,
      0.000394382804993044,
      0.0003273939161492155,
      0.0002613439964067595,
      0.00019621990324979562,
      0.00013200872572203685
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566980055574204,
      10.337541805019368,
      10.100659056697953,
      9.85924692154229,
      9.615688033742671,
      9.372056068740442,
      9.130141529540207,
      8.891414752660618,
      8.657056007296324,
      8.42796397758328,
      8.204756991772687,
      7.987788416472562,
      7.777173360175199,
      7.5728245367181675,
      7.374491968099716,
      7.181801484463718,
      6.994289883144168,
      6.81144164263074,
      6.632726994483504,
      6.457626300442299,
      6.285640941005841,
      6.116316341955674,
      5.9492587758272615,
      5.78413777379034,
      5.620694103843832,
      5.458744691886211,
      5.298180426170719,
      5.13897040460413,
      4.9811564674814,
      4.824850722867893,
      4.6702219865125905,
      4.517501865138315,
      4.366972133111869,
      4.218957587439698,
      4.073840039725336,
      3.93203323189354,
      3.793945033660142,
      3.659964125856917,
      3.530448828323701,
      3.4057178837849484,
      3.2860442923283117,
      3.1716479892517797,
      3.062691642476133,
      2.9592817845216444,
      2.8614602247903487,
      2.769207332327527,
      2.6824373151198744,
      2.6010146601597164,
      2.5247630378235795,
      2.453454295232048,
      2.3868450024170755,
      2.3246655918562538,
      2.2666136628204727,
      2.2123691229317295,
      2.1615683077529173,
      2.1138203448498216,
      2.0687670708172874,
      2.026073471969472,
      1.9854277550837747,
      1.9465564077766662,
      1.9092388112763865,
      1.8733025455980086,
      1.8386095200326873,
      1.805042389006128,
      1.7725007543662683,
      1.7409039075428139,
      1.7101861219461607,
      1.6802927150247422,
      1.6511772351738707,
      1.622799444431334,
      1.5951221285906783,
      1.5681100813893682,
      1.5417322377433174,
      1.5159609856171974,
      1.4907713934721476,
      1.4661406585543109,
      1.4420477101009979,
      1.4184729200688266,
      1.3953978896096304,
      1.3728054103044494,
      1.3506799948017871,
      1.3290075880643997,
      1.3077748574593127,
      1.286968676318095,
      1.266576215727592,
      1.2465850154493534,
      1.226983022862983,
      1.207758612760865,
      1.1889005930751342,
      1.170398202462117,
      1.1522411014301,
      1.1344193607605217,
      1.1169242083992985,
      1.0997477283884283,
      1.0828823653969086,
      1.066320662850983,
      1.0500561781521012,
      1.0340831741326713,
      1.0183954537088884,
      1.002986570506798,
      0.9878499900678804,
      0.9729791963250392,
      0.9583677615089227,
      0.9440094435212778,
      0.9298995379930409,
      0.916034098465391,
      0.9024086235783244,
      0.8890183044612157,
      0.8758581846873198,
      0.862923266186939,
      0.8502085771925291,
      0.8377092165909062,
      0.8254203815317193,
      0.8133373835258647,
      0.8014556575295572,
      0.7897707656421361,
      0.778278398401081,
      0.7669743735991346,
      0.7558546335028228,
      0.7449152419818333,
      0.7341523805854514,
      0.7235623448877695,
      0.7131415399514596,
      0.7028864767061626,
      0.6927937682130076,
      0.6828601252160575,
      0.6730823530487764,
      0.663457347715018,
      0.6539820871561124,
      0.6446535815097487,
      0.6354689076875776,
      0.6264252466979868,
      0.6175198717090399,
      0.608750140073439,
      0.600113486187851,
      0.591607340350219,
      0.5832287227489699,
      0.5749746497825243,
      0.5668424182934981,
      0.558829532320729,
      0.5509336530693008,
      0.5431525643141369,
      0.535484148035637,
      0.5279263677873811,
      0.5204772567333774,
      0.5131349091120376,
      0.5058974736125504,
      0.4987631488364754,
      0.49173017962103865,
      0.4847968541229609,
      0.4779615016921429,
      0.4712224907239862,
      0.4645782270808758,
      0.45802715250152715,
      0.45156774356335005,
      0.44519851021150203,
      0.4389179947483942,
      0.43272477078160476,
      0.42661744220894676,
      0.42059464242469613,
      0.414655033318783,
      0.4087973045558604,
      0.4030201725787006,
      0.3973223799497829,
      0.3917026945258226,
      0.3861599089269714,
      0.38069283961603056,
      0.37530032622718296,
      0.36998123119752435,
      0.3647344389156945,
      0.35955885522968856,
      0.35445319625383803,
      0.3494160789955963,
      0.3444463097091079,
      0.3395430273941744,
      0.3347054338969164,
      0.32993271595397167,
      0.3252240382190967,
      0.3205785415717966,
      0.3159956600353818,
      0.31147528957610926,
      0.3070172131251108,
      0.3026209800742262,
      0.2982859881834021,
      0.29401153850195744,
      0.289796871928206,
      0.2856411939678453,
      0.281543691549075,
      0.2775036116336383,
      0.2735202642077517,
      0.26959292417222613,
      0.26572083880830283,
      0.26190330785895316,
      0.2581399332641768,
      0.2544303148759721,
      0.25077392174337326,
      0.247170139404132,
      0.24361830127368883,
      0.24011770962736648,
      0.23666764999618725,
      0.23326740062139315,
      0.22991623870894942,
      0.22661344484496257,
      0.22335830551329686,
      0.22015011506201448,
      0.21698816817476652,
      0.21387169639167863,
      0.21079992380404836,
      0.2077721205200972,
      0.20478759090905851,
      0.2018456658017749,
      0.19894569712569227,
      0.1960870541030644,
      0.19326912055271359,
      0.19049129335003515,
      0.18775298112426989,
      0.18505360322656791,
      0.18239256913683827,
      0.1797692861019792,
      0.17718318202421893,
      0.1746337015305963,
      0.17212030322938213,
      0.16964245745290235,
      0.1671996451792387,
      0.16479135709178347,
      0.16241709272294474,
      0.1600763598951217,
      0.15776867443878892,
      0.15549355991275438,
      0.15325054744094166,
      0.15103917539193212,
      0.14885898914799417,
      0.14670954105302106,
      0.14459039014388847,
      0.14250110224439896,
      0.14044124966526034,
      0.13841041118984565,
      0.1364081718748182,
      0.13443412293298482,
      0.13248786167222817,
      0.1305689914846351,
      0.12867712160547323,
      0.1268118670682971,
      0.1249728486201839,
      0.1231596925908729,
      0.1213720308811235,
      0.11960950068206042,
      0.11787174466904275,
      0.11615841072941292,
      0.11446915189783435,
      0.1128036263204079,
      0.11116149705106357,
      0.1095424322262268,
      0.10794610468996088,
      0.10637219218162779,
      0.10482037701778198,
      0.10329034619018455,
      0.10178179124372325,
      0.10029440825265894,
      0.09882789760803683,
      0.09738196407424995,
      0.09595631670148765,
      0.09455066875896505,
      0.09316473758074723,
      0.09179824468650903,
      0.09045091556026728,
      0.08912247961459507,
      0.087812670136678,
      0.08652122432407498,
      0.08524788321663553,
      0.08399239143502414,
      0.08275449737392054,
      0.08153395293785133,
      0.08033051365524331,
      0.0791439384933642,
      0.0779739899370775,
      0.07682043383508921,
      0.07568303939815259,
      0.07456157901853044,
      0.07345582855580111,
      0.07236556695448651,
      0.0712905763275033,
      0.07023064184124998,
      0.0691855517360629,
      0.06815509722386089,
      0.06713907262592149,
      0.06613727517514448,
      0.06514950491513304,
      0.06417556468569649,
      0.0632152601409675,
      0.062268399761731985,
      0.06133479468782181,
      0.06041425883353863,
      0.05950660871773071,
      0.058611663287556716,
      0.057729244209228814,
      0.056859175691650526,
      0.0560012844154162,
      0.05515539955000551,
      0.05432135263442788,
      0.05349897761277784,
      0.052688110611566814,
      0.0518885902059343,
      0.05110025727780628,
      0.050322954978630347,
      0.049556528668686754,
      0.04880082577229903,
      0.04805569603265637,
      0.047320991170268084,
      0.046596565080794725,
      0.04588227363658448,
      0.04517797487467336,
      0.04448352869016474,
      0.04379879698840119,
      0.043123643749481744,
      0.04245793468709571,
      0.04180153748956354,
      0.04115432171864253,
      0.040516158823738394,
      0.0398869219690174,
      0.03926648605818121,
      0.0386547278772362,
      0.038051525967335284,
      0.03745676046035061,
      0.03687031319376627,
      0.03629206775587952,
      0.03572190923551098,
      0.03515972435284078,
      0.03460540155521926,
      0.03405883081402839,
      0.033519903500902004,
      0.03298851264450696,
      0.03246455280558704,
      0.03194791993268883,
      0.031438511442392285,
      0.030936226219488674,
      0.03044096460376395,
      0.0299526284016925,
      0.02947112054714533,
      0.028996345517346575,
      0.028528209172690416,
      0.02806661859866046,
      0.02761148214993633,
      0.027162709511806556,
      0.026720211601515914,
      0.026283900703418996,
      0.025853690285013265,
      0.025429494919158975,
      0.02501123045907851,
      0.02459881391233726,
      0.024192163542681434,
      0.023791198734503288,
      0.02339583994465356,
      0.023006008702690907,
      0.02262162762192541,
      0.022242620484499022,
      0.021868912172050354,
      0.021500428485940373,
      0.02113709638483334,
      0.02077884397239158,
      0.02042560003722556,
      0.02007729462680884,
      0.019733858626972647,
      0.019395223898326368,
      0.019061323346504983,
      0.01873209072294962,
      0.018407460766101762,
      0.018087369155623104,
      0.017771752374848803,
      0.017460547837418666,
      0.017153693819809534,
      0.016851129518567706,
      0.016552794958354235,
      0.016258631024054254,
      0.015968579368970035,
      0.015682582440522994,
      0.015400583636537464,
      0.015122527604371359,
      0.014848362219002119,
      0.014578036024770662,
      0.014311497207044192,
      0.01404869398076394,
      0.013789575036208956,
      0.013534089305744117,
      0.013282186279116641,
      0.01303381593230324,
      0.012788928887792692,
      0.012547476437143235,
      0.012309410521585339,
      0.01207468361353807,
      0.011843249001025699,
      0.011615060534410238,
      0.011390072661714852,
      0.011168240383369641,
      0.01094951955306097,
      0.010733866475311755,
      0.010521238109438532,
      0.010311591996248657,
      0.010104886358448617,
      0.009901079962358611,
      0.009700132159508502,
      0.009502002829216141,
      0.00930665236086768,
      0.009114041835770319,
      0.00892413286802356,
      0.008736887574956307,
      0.008552268587203555,
      0.008370239061374268,
      0.008190762618040864,
      0.008013803517141567,
      0.007839326384015069,
      0.007667296395220536,
      0.00749767918612667,
      0.007330440977124233,
      0.007165548466274583,
      0.007002968673333899,
      0.006842669172977236,
      0.006684617941925542,
      0.006528783430582302,
      0.006375134636508275,
      0.006223640810709541,
      0.0060742717760249535,
      0.005926997776991699,
      0.0057817894011402285,
      0.005638617667089092,
      0.005497453955330425,
      0.005358270131304213,
      0.005221038466776176,
      0.0050857315754104515,
      0.004952322477276302,
      0.004820784467279741,
      0.004691091322170044,
      0.004563217242051809,
      0.004437136653772935,
      0.004312824453951789,
      0.004190255840698662,
      0.0040694063496124295,
      0.003950251732259281,
      0.0038327683129696535,
      0.003716932526576539,
      0.0036027212904483287,
      0.0034901118693869857,
      0.003379081799057826,
      0.0032696090267975665,
      0.003161671691535382,
      0.0030552482796416874,
      0.0029503175977525576,
      0.0028468586004397833,
      0.0027448506575650485,
      0.0026442734414237126,
      0.00254510679610369,
      0.0024473310782844476,
      0.002350926729959935,
      0.0022558745327925537,
      0.002162155417882296,
      0.0020697507601263663,
      0.0019786421903869133,
      0.0018888113834732339,
      0.0018002404761474425,
      0.0017129118060126818,
      0.0016268079439616307,
      0.0015419116703490336,
      0.0014582060982245002,
      0.0013756745560716687,
      0.0012943005288608396,
      0.0012140678285349053,
      0.0011349603331197245,
      0.001056962343456144,
      0.0009800583686712413,
      0.000904233084779592,
      0.0008294712424359888,
      0.0007557579379451006,
      0.0006830785038854499,
      0.0006114184006004931,
      0.0005407633690803367,
      0.00047109928581709167,
      0.00040241229197383486,
      0.0003346886880198189,
      0.0002679149117613056,
      0.0002020776631828939,
      0.0001371637567982572,
      7.31603116876655e-05
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566974139059186,
      10.337520016250664,
      10.100613211361214,
      9.859171433830179,
      9.615579054980119,
      9.371910722279438,
      9.129958106873168,
      8.89119288801697,
      8.656795867190475,
      8.427666056713157,
      8.204421937764392,
      7.987416902089508,
      7.77676598962188,
      7.572381788192617,
      7.374014163317999,
      7.181288785055344,
      6.993742147140248,
      6.8108586025306845,
      6.632108399278296,
      6.456972025908011,
      6.284951127441051,
      6.115591364632373,
      5.948499213265708,
      5.783344489483525,
      5.619868257888552,
      5.457887785094114,
      5.297294346987378,
      5.138057492057992,
      4.980219507227067,
      4.823892749844675,
      4.669246389206374,
      4.516512499920168,
      4.3659733604957145,
      4.217954370141656,
      4.072838080759231,
      3.9310381374688133,
      3.7929621994801592,
      3.6589986413764137,
      3.52950538787447,
      3.404800779598046,
      3.2851573985964344,
      3.1707945627831293,
      3.061874304246369,
      2.958502342591013,
      2.8607196858627755,
      2.7685056970891706,
      2.681773759234381,
      2.6003878645911365,
      2.5241707772372446,
      2.452893989159077,
      2.3863141004807535,
      2.3241612860215946,
      2.2661327914466023,
      2.211908432724741,
      2.1611240748227956,
      2.113388862896732,
      2.068344946853526,
      2.0256575785744224,
      1.985015400152912,
      1.94614546141566,
      1.9088277092008805,
      1.8728901453542053,
      1.838194960400224,
      1.804624888347971,
      1.7720797156129753,
      1.7404789339544195,
      1.7097569592111372,
      1.679859211090567,
      1.6507393106338264,
      1.6223570710903055,
      1.5946753389354138,
      1.5676589360489324,
      1.5412768060949558,
      1.515501342905449,
      1.4903076184224313,
      1.4656728321426464,
      1.4415759143600342,
      1.417997237538935,
      1.394918402415557,
      1.3723222108077586,
      1.3501931907482996,
      1.3285173059401743,
      1.3072812194470487,
      1.2864717886790877,
      1.2660761740329698,
      1.2460819069232811,
      1.2264769287859238,
      1.2072496102705619,
      1.1883887563124842,
      1.1698836032147844,
      1.151723808814229,
      1.133899457435791,
      1.116401797918255,
      1.0992229079344267,
      1.0823552334315742,
      1.0657913598740822,
      1.0495249734269982,
      1.0335502928194251,
      1.017861065504052,
      1.0024508065670812,
      0.9873129555942957,
      0.9724409792316941,
      0.9578284373417205,
      0.9434692119280728,
      0.9293587800130365,
      0.9154930801924903,
      0.9018675346266015,
      0.8884772825547052,
      0.8753173325493334,
      0.8623826627458002,
      0.8496682856696474,
      0.8371692892334014,
      0.824880863187081,
      0.8127983140667618,
      0.8009170731849767,
      0.7892327005607779,
      0.7777408849250128,
      0.7664374426216596,
      0.7553183151664111,
      0.7443795657512503,
      0.7336173752308458,
      0.7230280386831918,
      0.7126079607331218,
      0.702353652045625,
      0.692261725451152,
      0.6823288915881929,
      0.6725519550603598,
      0.662927811319636,
      0.6534534372347509,
      0.6441258411840277,
      0.6349421005185572,
      0.6258993963579802,
      0.6169950020010463,
      0.6082262745088484,
      0.5995906480894573,
      0.5910855737996535,
      0.5827081016341311,
      0.5744552307862295,
      0.5663242467268836,
      0.5583126454142198,
      0.550418082212614,
      0.5426383368629782,
      0.534971288818247,
      0.5274148997564795,
      0.519967201401156,
      0.5126262867957143,
      0.5053903037207562,
      0.4982574500951639,
      0.4912259701630807,
      0.4842941518251189,
      0.4774603237159428,
      0.47072285368453315,
      0.4640801472079056,
      0.45753064564153695,
      0.4510728250220512,
      0.44470519497086375,
      0.438426297448847,
      0.43223470562105437,
      0.42612902291231536,
      0.4201078824868627,
      0.4141699459876043,
      0.40831390255519023,
      0.402538468181963,
      0.3968423850472185,
      0.39122442073747893,
      0.38568336730305,
      0.3802180409423226,
      0.3748272810458583,
      0.3695099496194934,
      0.36426493086065614,
      0.3590911226758512,
      0.35398722720153053,
      0.3489518670579277,
      0.34398392602712163,
      0.3390825738305558,
      0.33424698733075864,
      0.3294763371613171,
      0.3247697691963947,
      0.3201264209648454,
      0.3155458515342099,
      0.31102797560332085,
      0.3065725129504996,
      0.30217897045728737,
      0.2978467173250079,
      0.2935750352449365,
      0.2893631520592596,
      0.2852102643948867,
      0.28111555413724215,
      0.27707828111599625,
      0.27309775310152395,
      0.2691732366973781,
      0.2653039735592539,
      0.2614892758638815,
      0.2577287657041213,
      0.25402202752631736,
      0.25036852019200984,
      0.2467676223924276,
      0.24321866277530974,
      0.23972094039857064,
      0.2362737385646743,
      0.2328763340739055,
      0.22952800306453672,
      0.22622802535873332,
      0.22297568698802347,
      0.21977028187618458,
      0.21661109962849698,
      0.21349736464521996,
      0.21042830497403284,
      0.2074031934069792,
      0.20442133625642794,
      0.20148206563779295,
      0.19858473426088516,
      0.19572871180761522,
      0.1929133826032161,
      0.19013814372099355,
      0.18740240390762955,
      0.18470558270351728,
      0.18204710965305068,
      0.17942642388215543,
      0.17684296240558262,
      0.17429615228422812,
      0.17178543645298353,
      0.16931027490308273,
      0.16687014163588743,
      0.16446452263880362,
      0.16209291429136688,
      0.15975482230356314,
      0.15744976127859922,
      0.15517725385519848,
      0.15293683042565628,
      0.15072802905972207,
      0.1485503949474987,
      0.1464034801867938,
      0.14428684381827045,
      0.14220005172799982,
      0.1401426761561454,
      0.13811429583439125,
      0.13611449591956487,
      0.13414286770442493,
      0.1321990086456003,
      0.13028252213615765,
      0.1283930174552268,
      0.12653010971636858,
      0.12469341968707871,
      0.12288257381039552,
      0.12109720402776067,
      0.11933694766990115,
      0.11760144746631468,
      0.11589035145101606,
      0.11420331266892897,
      0.11253998934348215,
      0.11090004468551228,
      0.10928314671181794,
      0.1076889684423442,
      0.1061171876426228,
      0.10456748679834049,
      0.10303955293999686,
      0.10153307772449378,
      0.10004775730302759,
      0.09858329221048538,
      0.09713938727624069,
      0.09571575159987195,
      0.09431209850998436,
      0.09292814549272672,
      0.09156361407755127,
      0.09021822982559881,
      0.08889172226228267,
      0.08758382491902039,
      0.08629427508344151,
      0.08502281370929188,
      0.083769185663303,
      0.08253313922588862,
      0.08131442648460674,
      0.08011280299386327,
      0.07892802791457351,
      0.07775986378781254,
      0.07660807660083961,
      0.07547243562030961,
      0.07435271345031341,
      0.07324868596263905,
      0.0721601321464503,
      0.0710868341568804,
      0.0700285772607609,
      0.0689851498952528,
      0.06795634333405308,
      0.06694195188580887,
      0.0659417728617143,
      0.0649556064617828,
      0.06398325562112973,
      0.06302452616829295,
      0.06207922668882176,
      0.0611471683991603,
      0.06022816518600311,
      0.059322033725646636,
      0.058428593161735605,
      0.05754766519671963,
      0.05667907407763179,
      0.05582264663955689,
      0.05497821205959648,
      0.05414560203306435,
      0.05332465053934048,
      0.05251519398192306,
      0.05171707093071496,
      0.050930122387481014,
      0.05015419150383962,
      0.04938912369877791,
      0.04863476663502403,
      0.047890970038515515,
      0.04715758581536034,
      0.04643446783965263,
      0.0457214722227644,
      0.045018456983479394,
      0.044325282129423806,
      0.043641809657116594,
      0.04296790359437446,
      0.04230342985644337,
      0.041648256160361614,
      0.04100225215600928,
      0.04036528931008643,
      0.039737240921137125,
      0.039117982055619595,
      0.0385073894843762,
      0.03790534181031017,
      0.0373117193801192,
      0.03672640402794927,
      0.03614927947052215,
      0.035580231022226905,
      0.03501914543435654,
      0.034465911121278725,
      0.03392041807822116,
      0.0333825579162666,
      0.03285222370355487,
      0.032329310130016616,
      0.031813713150272045,
      0.03130533031210593,
      0.03080406063632911,
      0.030309804550012812,
      0.02982246379962291,
      0.029341941550673958,
      0.028868142311589268,
      0.028400971916609785,
      0.027940337609465963,
      0.027486147871612965,
      0.027038312528891988,
      0.026596742583359017,
      0.026161350240612835,
      0.025732049037121233,
      0.025308753718379595,
      0.02489138018520753,
      0.024479845635667997,
      0.024074068253509343,
      0.02367396753075162,
      0.023279464060669927,
      0.022890479379685812,
      0.022506936251916417,
      0.02212875855119743,
      0.021755871211197052,
      0.021388200174925962,
      0.021025672378123576,
      0.02066821593554942,
      0.020315759888063938,
      0.01996823422389283,
      0.019625569953956354,
      0.019287699020059678,
      0.018954554282465192,
      0.018626069676927468,
      0.018302179962127314,
      0.017982820915726113,
      0.017667929095324112,
      0.017357442009922976,
      0.017051297932079525,
      0.01674943624775969,
      0.016451797027813117,
      0.016158321130264913,
      0.01586895033119816,
      0.015583627268163919,
      0.015302295234323013,
      0.015024898617835663,
      0.014751384871735163,
      0.014481702800465032,
      0.014215801036426334,
      0.013953627984784289,
      0.013695132308283352,
      0.013440263113719524,
      0.01318897001985544,
      0.01294120309957881,
      0.012696913046575614,
      0.01245605128116379,
      0.012218569765937718,
      0.011984421090902192,
      0.01175355842776444,
      0.011525935657532299,
      0.011301507406087055,
      0.011080228898006368,
      0.01086205590185199,
      0.010646944855550948,
      0.010434852701823028,
      0.010225737113729181,
      0.010019556354172614,
      0.00981626917557777,
      0.009615834950702,
      0.009418213710582228,
      0.009223365885753844,
      0.009031252653771263,
      0.008841835525813881,
      0.008655076679341137,
      0.008470938796767668,
      0.008289385141828514,
      0.008110379326283099,
      0.00793388570159178,
      0.007759869002519639,
      0.007588294476104507,
      0.007419127840634017,
      0.007252335310286942,
      0.007087883475026405,
      0.006925739551362057,
      0.006765871132682729,
      0.006608246373870536,
      0.006452833719968026,
      0.006299602087787258,
      0.006148520947195903,
      0.005999560074437378,
      0.00585268964960195,
      0.005707880317627673,
      0.0055651032641124065,
      0.005424329923127253,
      0.005285532222646002,
      0.005148682372441373,
      0.005013753092021546,
      0.004880717401570221,
      0.0047495486877622345,
      0.00462022079034572,
      0.004492707835572578,
      0.004366984351185433,
      0.004243025236183435,
      0.004120805719759286,
      0.004000301333824693,
      0.003881488103411321,
      0.0037643422934551165,
      0.0036488404682464516,
      0.0035349595394073736,
      0.003422676770803606,
      0.003311969752726815,
      0.0032028163521674877,
      0.0030951949122180016,
      0.00298908383618721,
      0.002884461897446428,
      0.002781308117542,
      0.0026796019513934334,
      0.0025793231237418,
      0.0024804515814056496,
      0.0023829675545118762,
      0.0022868516315809073,
      0.0021920846450837026,
      0.002098647570850563,
      0.0020065217331596136,
      0.0019156887189218839,
      0.0018261303687645031,
      0.0017378288903345544,
      0.0016507666039023365,
      0.0015649261402678047,
      0.001480290359685517,
      0.0013968423673652915,
      0.001314565421674327,
      0.0012334431037733838,
      0.0011534592468473274,
      0.0010745978662457744,
      0.0009968432048314728,
      0.0009201797094143451,
      0.0008445920903257144,
      0.0007700652869857779,
      0.0006965842816513766,
      0.0006241344856296962,
      0.0005527014529113147,
      0.0004822709062401238,
      0.0004128287956157831,
      0.0003443612112937508,
      0.0002768544435990937,
      0.00021029507558288808,
      0.0001446697775541407,
      7.996545829416206e-05,
      1.61691564110097e-05
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566970612753034,
      10.33750263881531,
      10.10057343475405,
      9.85910338891981,
      9.615478654672653,
      9.371774882543738,
      9.129784944391028,
      8.890981893503632,
      8.656547079944785,
      8.427379861132405,
      8.204098890549078,
      7.987057605851669,
      7.776370994876609,
      7.57195153302692,
      7.373548942522101,
      7.180788745709654,
      6.993207140594521,
      6.810288359349598,
      6.631502670399647,
      6.456330692960714,
      6.284274343592017,
      6.114879516414694,
      5.947752887394884,
      5.782564555748241,
      5.619055878870011,
      5.457044461791004,
      5.2964219637842245,
      5.137158378506859,
      4.97929643398527,
      4.822948730951931,
      4.668284787043021,
      4.515537137683785,
      4.364988559599094,
      4.216965048658308,
      4.071849889719859,
      3.93005663196378,
      3.791992725419861,
      3.6580462396332782,
      3.528574706081653,
      3.403896067786416,
      3.284282494095387,
      3.169952690388944,
      3.061068059394688,
      2.9577335138516014,
      2.8599892662651376,
      2.767813684304651,
      2.681119333922262,
      2.5997697157463615,
      2.523586693039622,
      2.4523414070928236,
      2.385790451855804,
      2.3236637538636513,
      2.265658253707787,
      2.2114536144529757,
      2.160685276711483,
      2.112962443479118,
      2.0679275705724396,
      2.0252461708880833,
      1.9846073119272074,
      1.9457386011016498,
      1.9084205422314424,
      1.87248155206221,
      1.837784097550235,
      1.8042109892505236,
      1.771662195791145,
      1.7400574056900167,
      1.7093311757426515,
      1.6794290262086715,
      1.650304649447785,
      1.6219179093326372,
      1.594231712512386,
      1.567210908634068,
      1.5408244494628578,
      1.51504473479751,
      1.489846840196148,
      1.4652079668153322,
      1.4411070455036823,
      1.4175244484646412,
      1.39444177645905,
      1.3718418420215999,
      1.3497091954988192,
      1.328029815071235,
      1.3067903517204924,
      1.2859776493698267,
      1.2655788580649354,
      1.2455815015092642,
      1.2259735154665088,
      1.2067432662493136,
      1.1878795556964237,
      1.1693716177011773,
      1.1512091083316571,
      1.1333821251832465,
      1.1158819376577382,
      1.0987006176898428,
      1.0818306119611982,
      1.0652645788582376,
      1.0489963175077486,
      1.0330199719533741,
      1.0173292391809337,
      1.0019176001006518,
      0.9867784704019917,
      0.9719053000160432,
      0.9572916372523312,
      0.9429314893284461,
      0.9288205153051468,
      0.9149545390682706,
      0.9013289063763528,
      0.8879387049066254,
      0.8747789085046087,
      0.8618444714755825,
      0.8491303902440607,
      0.8366317422150791,
      0.8243437098468733,
      0.8122615946026851,
      0.8003808242037026,
      0.7886969559771041,
      0.7772056769950147,
      0.76590280237362,
      0.7547842727655816,
      0.7438461507227124,
      0.7330846167196592,
      0.7224959653715516,
      0.7120766009228054,
      0.7018230336007979,
      0.6917318757295938,
      0.6817998374361655,
      0.6720237231014554,
      0.6624004281304364,
      0.6529269279340632,
      0.6436002290495657,
      0.634417409337032,
      0.6253756501720262,
      0.6164722249752351,
      0.6077044904816313,
      0.5990698808027879,
      0.5905658676169249,
      0.5821895307143329,
      0.5739378519700823,
      0.5658081050895375,
      0.5577977781140229,
      0.5499045209583721,
      0.5421261094659918,
      0.534460420520932,
      0.5269054137061155,
      0.5194591191358215,
      0.5121196288193003,
      0.5048850897378077,
      0.4977536990074741,
      0.49072370018504663,
      0.4837933804631389,
      0.4769610681209764,
      0.4702251306674705,
      0.4635839730699084,
      0.4570360362768457,
      0.4505797959126269,
      0.4442137610977169,
      0.43793647337493113,
      0.43174650566940187,
      0.4256424611096051,
      0.4196229723741558,
      0.41368670067899765,
      0.40783233476531805,
      0.4020585902727837,
      0.3963642090697991,
      0.3907479583920067,
      0.385208629918868,
      0.37974503940220716,
      0.3743560258061303,
      0.36904045090337273,
      0.36379719831274515,
      0.3586251568989351,
      0.3535230157228594,
      0.34848940607982837,
      0.34352330225647565,
      0.338623883606446,
      0.333790307489644,
      0.3290217251181825,
      0.32431726436783953,
      0.3196761135545331,
      0.31509792951974536,
      0.3105825930828919,
      0.3061297701355184,
      0.30173893140723373,
      0.29740942167670126,
      0.29314050600669167,
      0.2889314010514506,
      0.2847812958776367,
      0.2806893737348071,
      0.27665490503207607,
      0.27267719026551523,
      0.26875548896532364,
      0.264889037943901,
      0.261077164433055,
      0.2573195079961312,
      0.2536156382948457,
      0.24996500441548378,
      0.2463669783069611,
      0.2428208840659994,
      0.2393260176971268,
      0.23588166034852928,
      0.23248708731346587,
      0.22914157386260375,
      0.22584439905062842,
      0.22259484845302227,
      0.21939221582044544,
      0.21623578549899913,
      0.2131247746322605,
      0.21005841543806486,
      0.2070359834158797,
      0.20405678665457164,
      0.20112015848957604,
      0.1982254524246404,
      0.19537203870197706,
      0.19255930193613707,
      0.18978663952394986,
      0.18705346044280446,
      0.18435918419255382,
      0.18170324043683853,
      0.17908506838924426,
      0.1765041164645679,
      0.17395984179894228,
      0.1714517065939998,
      0.16897916035612368,
      0.1665416592701523,
      0.16413867730174125,
      0.16176970289552672,
      0.15943423641900148,
      0.15713178880725645,
      0.1548618803466911,
      0.15262404000182705,
      0.15041780468413832,
      0.1482427188423569,
      0.14609833422072294,
      0.14398420961250216,
      0.14189991062715193,
      0.1398450095345344,
      0.13781908511561056,
      0.13582172241752957,
      0.13385251279420227,
      0.13191105370497724,
      0.1299969486203054,
      0.12810980682486717,
      0.12624924351167235,
      0.12441487965224121,
      0.12260634165619032,
      0.12082326146065829,
      0.11906527657954868,
      0.11733202980186933,
      0.11562316909722582,
      0.11393834772241432,
      0.11227722393118429,
      0.1106394609930697,
      0.1090247271838558,
      0.10743269555673651,
      0.10586304390742625,
      0.1043154547613092,
      0.10278961533781047,
      0.10128521730800694,
      0.09980195690418328,
      0.09833953475198894,
      0.09689765569208522,
      0.09547602892135205,
      0.09407436793893967,
      0.09269239025896746,
      0.09132981757598055,
      0.08998637556307972,
      0.08866179383019358,
      0.08735580594036395,
      0.08606814914096167,
      0.08479856461356795,
      0.0835467972378062,
      0.08231259547070882,
      0.08109571146080875,
      0.07989590089554743,
      0.07871292299168232,
      0.07754654037423506,
      0.0763965191997484,
      0.07526262873547772,
      0.07414464171652921,
      0.07304233399000899,
      0.07195548476881222,
      0.07088387628295416,
      0.06982729385605539,
      0.06878552596733366,
      0.06775836413736425,
      0.06674560279955179,
      0.06574703932557519,
      0.06476247396579456,
      0.06379170975292739,
      0.06283455252381802,
      0.06189081097377423,
      0.06096029646089648,
      0.06004282304281647,
      0.059138207354783,
      0.0582462686817994,
      0.05736682899918115,
      0.05649971256866745,
      0.055644746175660044,
      0.054801759178700726,
      0.05397058332061782,
      0.053151052618456915,
      0.05234300352923861,
      0.0515462748544028,
      0.05076070757684559,
      0.04998614507503516,
      0.04922243289132161,
      0.04846941870576491,
      0.04772695234005968,
      0.046994885772898565,
      0.04627307299178795,
      0.04556137013858381,
      0.04485963533568951,
      0.04416772868822997,
      0.0434855123800466,
      0.04281285049382949,
      0.04214960900771255,
      0.041495655770111384,
      0.040850860583614944,
      0.04021509492396036,
      0.03958823218755684,
      0.038970147557691195,
      0.038360717947908,
      0.037759821967910806,
      0.03716734002949126,
      0.03658315415390852,
      0.03600714799242168,
      0.03543920686884367,
      0.03487921774890126,
      0.03432706918115139,
      0.0337826512596181,
      0.03324585565003937,
      0.03271657551686215,
      0.0321947056215645,
      0.031680142073832664,
      0.031172782428665235,
      0.030672525718847585,
      0.030179272515321563,
      0.029692924634325546,
      0.029213385389874186,
      0.02874055936220363,
      0.02827435249577486,
      0.027814672005003125,
      0.027361426444138217,
      0.026914525763430758,
      0.026473881013892565,
      0.02603940466787953,
      0.02561101023169236,
      0.025188612601196845,
      0.024772127728467694,
      0.0243614727767047,
      0.023956566094999358,
      0.023557327210405384,
      0.023163676710387396,
      0.022775536364488397,
      0.022392828983372786,
      0.02201547857494575,
      0.021643410002128865,
      0.021276549433097394,
      0.020914823854746294,
      0.020558161321291603,
      0.02020649094611648,
      0.019859742821150505,
      0.019517848099376227,
      0.019180738705975607,
      0.018848347714412184,
      0.018520609103053632,
      0.01819745767467306,
      0.017878829169907608,
      0.017564660340205655,
      0.017254888635883748,
      0.016949452540211515,
      0.01664829141085289,
      0.01635134542045198,
      0.01605855545566409,
      0.015769863356136605,
      0.015485211794624122,
      0.015204544160551378,
      0.014927804732447042,
      0.014654940551706923,
      0.014385900802231889,
      0.014120634117158925,
      0.013859089205189185,
      0.013601214941682366,
      0.01334696054984037,
      0.013096275662411288,
      0.012849110474116361,
      0.012605415756086246,
      0.012365142904532899,
      0.01212824393478652,
      0.011894671502762836,
      0.011664378916559763,
      0.011437320176005931,
      0.011213450014847838,
      0.010992723608500262,
      0.01077509676032071,
      0.010560525893418793,
      0.010348968098482654,
      0.01014038119278161,
      0.009934723452921549,
      0.009731953597454894,
      0.009532031032090328,
      0.00933491590026685,
      0.009140568774091435,
      0.008948950766968595,
      0.008760023571671254,
      0.0085737493737392,
      0.008390090913091725,
      0.008209011522133505,
      0.00803047488656492,
      0.007854445335537301,
      0.00768088764418061,
      0.007509767162751835,
      0.007341049566004212,
      0.007174701113098397,
      0.007010688572238505,
      0.006848979115766229,
      0.006689540445735041,
      0.0065323406927790826,
      0.006377348329015844,
      0.006224532406968797,
      0.006073862291769585,
      0.005925307839924432,
      0.005778839478261172,
      0.00563442787788354,
      0.005492044157100539,
      0.0053516598126229,
      0.005213246747671078,
      0.005076777295263228,
      0.004942224211393477,
      0.004809560574403921,
      0.0046787597747861434,
      0.004549795716158475,
      0.004422642636289384,
      0.004297275069844476,
      0.0041736678499059215,
      0.004051796283059871,
      0.003931636064832246,
      0.003813163178259121,
      0.0036963538630714835,
      0.0035811847259253253,
      0.0034676328203777605,
      0.0033556754360774127,
      0.0032452901556786623,
      0.003136454868783208,
      0.0030291478950877243,
      0.002923347733826421,
      0.002819033278738447,
      0.002716183632786063,
      0.0026147782107957805,
      0.002514796677777123,
      0.002416219085329284,
      0.002319025742537812,
      0.0022231971322886923,
      0.002128714152763036,
      0.0020355579341376946,
      0.0019437098411431216,
      0.0018531514695408582,
      0.001763864745819516,
      0.001675831773571682,
      0.0015890348648491526,
      0.0015034568144431514,
      0.0014190804505013128,
      0.0013358888725843049,
      0.0012538654869375867,
      0.001172993846090542,
      0.0010932578576337876,
      0.0010146415685859873,
      0.0009371291916599122,
      0.0008607052151901234,
      0.0007853543739249826,
      0.0007110615381713545,
      0.0006378119344756133,
      0.0005655909283157994,
      0.0004943840750730383,
      0.00042417713313307724,
      0.0003549560269969023,
      0.00028670693853263384,
      0.00021941620811781476,
      0.00015307031910759874,
      8.765600383546515e-05,
      2.3160299657709103e-05,
      -4.042974362474353e-05
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566967096721132,
      10.33748531059028,
      10.100533766612921,
      9.859035522077315,
      9.615378505984804,
      9.37163937759738,
      9.129612208461106,
      8.890771423001791,
      8.656298920867265,
      8.427094404901801,
      8.20377669814388,
      7.986699278901883,
      7.775977085400603,
      7.57152248306913,
      7.373085048496673,
      7.180290155265719,
      6.992673703108789,
      6.8097198034246125,
      6.630898747498485,
      6.455691285254981,
      6.283599605273019,
      6.114169836813668,
      5.947008856387697,
      5.781787044440549,
      5.618246051265151,
      5.456203819181946,
      5.295552390040091,
      5.136262201491821,
      4.978376421176996,
      4.822007893592365,
      4.667326483889074,
      4.5145651844793795,
      4.364007265145993,
      4.215979316580495,
      4.070865355920239,
      3.9290788335149966,
      3.7910269895776736,
      3.6570975880781162,
      3.5276477681028866,
      3.4029950749122313,
      3.2834112650284437,
      3.1691144329497978,
      3.060265353519334,
      2.9569681347462438,
      2.859262195586082,
      2.7671249127385713,
      2.680468038463324,
      2.5991545835661816,
      2.5230055129535005,
      2.4517916188079343,
      2.3852694372028616,
      2.3231686611606586,
      2.265185982929641,
      2.2110008477984766,
      2.160248287293482,
      2.1125376380119336,
      2.0675116564408613,
      2.024836110628309,
      1.9842004696373445,
      1.9453329146548417,
      1.9080144979090259,
      1.8720740456193619,
      1.8373742973368352,
      1.8037981374682897,
      1.771245713937598,
      1.739636910617669,
      1.7089064243564098,
      1.6789998751057689,
      1.6498710257307794,
      1.621479789707824,
      1.5937891336522703,
      1.566763934769713,
      1.540373153378024,
      1.514589194167898,
      1.4893871360011397,
      1.464744181584517,
      1.4406392631773675,
      1.4170527531708828,
      1.3939662515782867,
      1.3713625806750165,
      1.3492263205363921,
      1.327543460763236,
      1.3063006334372418,
      1.2854846693971036,
      1.2650827088900456,
      1.2450822686608904,
      1.2254712800091125,
      1.2062381055573441,
      1.1873715438801185,
      1.168860826445378,
      1.1506956071795853,
      1.1328659972866537,
      1.1153632864579521,
      1.098179540615416,
      1.0813072076106534,
      1.0647390190849895,
      1.048468887306647,
      1.032490881763431,
      1.0167986486463936,
      1.0013856341584306,
      0.9862452299156209,
      0.9713708697187814,
      0.9567560903995146,
      0.9423950243103952,
      0.9282835122176046,
      0.9144172632172828,
      0.9007915468403763,
      0.8874013991711739,
      0.8742417591431485,
      0.8613075577067034,
      0.8485937755064453,
      0.8360954787435577,
      0.8238078423950892,
      0.8117261630156667,
      0.7998458649481349,
      0.7881625030906101,
      0.7766717629147485,
      0.7653694585958127,
      0.7542515299306327,
      0.7433140384567437,
      0.7325531640473903,
      0.7219652006061703,
      0.7115465521534697,
      0.7012937285324873,
      0.6912033417398122,
      0.6812721015183919,
      0.6714968121278315,
      0.6618743683917783,
      0.6524017441596573,
      0.64307594453055,
      0.6338940477419787,
      0.6248532353942381,
      0.6159507807932847,
      0.6071840408226654,
      0.598550449309495,
      0.5900474987717127,
      0.5816722987078065,
      0.5734218137648918,
      0.565293305947808,
      0.5572842551909428,
      0.5493923059982274,
      0.541615230226415,
      0.533950901668274,
      0.5263972781007994,
      0.5189523883925187,
      0.5116143233735334,
      0.5043812291048908,
      0.49725130200698714,
      0.49022278508071815,
      0.4832939648396519,
      0.476463169236935,
      0.46972876526672547,
      0.46308915731288236,
      0.4565427859187774,
      0.4500881263477991,
      0.4437236873719816,
      0.4374480101664864,
      0.4312596672124961,
      0.42515726123898245,
      0.41913942448714825,
      0.41320481776800344,
      0.40735212954592237,
      0.4015800751031568,
      0.3958873959154665,
      0.3902728586832566,
      0.384735254835006,
      0.37927339984527114,
      0.3738861322939754,
      0.36857231348281017,
      0.36333082674715433,
      0.3581605516962462,
      0.3530601644065756,
      0.3480283482613624,
      0.34306414621036285,
      0.33816670686525885,
      0.3333351733699676,
      0.32856867901072534,
      0.3238663378003191,
      0.3192273912686696,
      0.3146516059707957,
      0.31013881576256735,
      0.3056886349181591,
      0.3013004992598761,
      0.29697373010917216,
      0.29270757676885917,
      0.28850124514859576,
      0.2843539171186305,
      0.28026477996826304,
      0.27623311345375534,
      0.27225820829521374,
      0.2683393174056995,
      0.2644756732060058,
      0.2606666306633508,
      0.2569118298809845,
      0.25321082755177404,
      0.24956306390901037,
      0.2459679048567206,
      0.2424246702761208,
      0.23893265348787707,
      0.2354911338396203,
      0.232099385265903,
      0.2287566821264574,
      0.22546230289277316,
      0.22221553275385703,
      0.2190156650508315,
      0.21586197897662748,
      0.21275368467615824,
      0.20969001843935642,
      0.20667025847664713,
      0.20369371470797007,
      0.20075972160337405,
      0.19786763345120495,
      0.19501682117159946,
      0.19220666963374167,
      0.18943657652333062,
      0.1867059509119425,
      0.18401421245258934,
      0.18136079082941117,
      0.17874512532143985,
      0.1761666643253572,
      0.17362486515478187,
      0.17111919370885223,
      0.1686491241934561,
      0.16621413924489697,
      0.163813715161863,
      0.1614473221126122,
      0.15911444634248095,
      0.15681458939007417,
      0.15454726523769438,
      0.1523119985254043,
      0.15010832332525592,
      0.14793578224319645,
      0.14579392586410445,
      0.14368231216923943,
      0.14160050626815593,
      0.13954807999853414,
      0.13752461189528292,
      0.13552968703980306,
      0.13356289662283757,
      0.13162383807927835,
      0.12971211494855647,
      0.1278273366458426,
      0.1259691184096752,
      0.12413708110219963,
      0.12233085123651691,
      0.12055006102795664,
      0.11879434792894368,
      0.11706335477182574,
      0.1153567296295306,
      0.11367412583957649,
      0.1120152017520138,
      0.11037962074200199,
      0.10876705106644134,
      0.10717716590213384,
      0.1056096432029405,
      0.10406416555352789,
      0.10254042019737067,
      0.10103809894696521,
      0.09955689805803747,
      0.09809651827158433,
      0.0966566646102666,
      0.09523704631021486,
      0.09383737686225357,
      0.09245737397903517,
      0.09109675941108591,
      0.08975525888481861,
      0.08843260207356964,
      0.0871285225949439,
      0.08584275790727622,
      0.08457504923886068,
      0.08332514162578296,
      0.08209278368943293,
      0.08087772756686114,
      0.07967972903137802,
      0.07849854747060256,
      0.07733394549859873,
      0.07618568922213834,
      0.07505354821408543,
      0.07393729523202967,
      0.07283670628577528,
      0.07175156052525733,
      0.07068164042023217,
      0.06962673142056564,
      0.06858662204719106,
      0.06756110389567381,
      0.06654997148572314,
      0.06555302219445812,
      0.06457005640041069,
      0.06360087737483348,
      0.06264529105298651,
      0.061703106085812594,
      0.06077413394934146,
      0.059858188879738344,
      0.05895508756771225,
      0.05806464937078808,
      0.0571866962078841,
      0.056321052603324914,
      0.055467545479834596,
      0.05462600423083098,
      0.05379626071922453,
      0.05297814911384499,
      0.05217150593156235,
      0.0513761700565141,
      0.05059198259315546,
      0.04981878693787454,
      0.049056428680710036,
      0.04830475570661366,
      0.047563617898140925,
      0.04683286728438132,
      0.046112358055130795,
      0.045401946440217666,
      0.04470149061853205,
      0.04401085076822317,
      0.043329889140396566,
      0.04265846994666112,
      0.04199645925416756,
      0.0413437249418496,
      0.040700136787291084,
      0.040065566577242154,
      0.03943988773235906,
      0.03882297548881881,
      0.038214706851316144,
      0.03761496054658862,
      0.03702361701501824,
      0.03644055843788005,
      0.03586566859293794,
      0.035298832954696505,
      0.0347399384671835,
      0.03418887374887361,
      0.033645529007808,
      0.03310979601724908,
      0.03258156807812211,
      0.032060739914285395,
      0.03154720775442763,
      0.03104086930558677,
      0.03054162373825871,
      0.03004937156950299,
      0.029564014719469907,
      0.029085456637193332,
      0.028613601974061258,
      0.028148356726502812,
      0.02768962826951491,
      0.027237325229641726,
      0.026791357573148277,
      0.026351636508384804,
      0.025918074513956734,
      0.025490585193536138,
      0.02506908338320642,
      0.02465348526364614,
      0.02424370805119811,
      0.023839670157427068,
      0.023441291308861963,
      0.023048492054572867,
      0.022661194161453437,
      0.022279320581347642,
      0.02190279538494452,
      0.02153154367441398,
      0.021165491557271182,
      0.020804566187830158,
      0.020448695577393487,
      0.020097808897663466,
      0.019751836387564163,
      0.01941070915643348,
      0.019074359378614222,
      0.018742720148524274,
      0.018415725492179284,
      0.018093310337555537,
      0.01777541052685798,
      0.017461962794252953,
      0.017152904740479414,
      0.016848174804605834,
      0.016547712378930313,
      0.01625145776872212,
      0.015959351951905575,
      0.01567133686930818,
      0.015387355292422586,
      0.015107350720017431,
      0.014831267360181229,
      0.014559051673107597,
      0.014290652886974425,
      0.014026019929688084,
      0.01376510175077831,
      0.013507847362626627,
      0.013254206105203213,
      0.013004127726969395,
      0.012757562518695491,
      0.012514461341102002,
      0.012274775673995186,
      0.012038457540282188,
      0.011805459756818005,
      0.011575735749366472,
      0.011349239528805899,
      0.011125925733582539,
      0.01090574970605553,
      0.010688667331542638,
      0.010474635187587273,
      0.0102636104244152,
      0.010055550769265868,
      0.009850414468653288,
      0.009648160493783925,
      0.009448748315674316,
      0.009252137975238908,
      0.009058290244648602,
      0.008867166301671477,
      0.008678727793561842,
      0.008492936959985247,
      0.008309756555061904,
      0.00812914993647317,
      0.007951080953399713,
      0.007775514008435752,
      0.007602413904965129,
      0.007431745919074423,
      0.007263475873239355,
      0.007097570129286902,
      0.006933995456491962,
      0.006772719092013805,
      0.006613708688571631,
      0.006456932429322844,
      0.006302359030149219,
      0.006149957515112682,
      0.005999697330324868,
      0.005851548306575468,
      0.005705480871891944,
      0.005561465750739869,
      0.0054194741102112955,
      0.005279477561265046,
      0.005141447989900872,
      0.005005357790597544,
      0.004871179655825959,
      0.0047388867682283614,
      0.004608452644240924,
      0.004479851221005623,
      0.004353056696798103,
      0.0042280436396953495,
      0.004104787116804667,
      0.003983262462763023,
      0.0038634452465136104,
      0.0037453114871643174,
      0.003628837559831043,
      0.0035140000582107992,
      0.0034007760465403986,
      0.0032891428357653516,
      0.003179078097995062,
      0.003070559848977041,
      0.002963566272572182,
      0.0028580760170133102,
      0.002754067932625467,
      0.0026515213136557615,
      0.002550415485836414,
      0.0024507301070900655,
      0.0023524453803164674,
      0.0022555415365708128,
      0.002159999285705198,
      0.0020657994350772664,
      0.001972923049591476,
      0.0018813516573968458,
      0.0017910669227961713,
      0.0017020507460486854,
      0.0016142852241990782,
      0.0015277528224330655,
      0.0014424361907685547,
      0.0013583182930909537,
      0.0012753822640272968,
      0.0011936115207827284,
      0.0011129896853884157,
      0.0010335006347975773,
      0.0009551284503377584,
      0.0008778574125739439,
      0.0008016720666732958,
      0.0007265571427675811,
      0.000652497616867901,
      0.0005794785881219276,
      0.000507485462264756,
      0.0004365037541542269,
      0.0003665193300466612,
      0.0002975182502466883,
      0.00022948669528912152,
      0.00016241098164174102,
      9.627773718255784e-05,
      3.107374027296117e-05,
      -3.321417018261817e-05,
      -9.659881554204144e-05
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566963590251406,
      10.337468024659682,
      10.100494191193116,
      9.858967812197552,
      9.615278587718372,
      9.3715041822631,
      9.129439842712296,
      8.890561369147274,
      8.656051234577513,
      8.426809485109326,
      8.20345511337923,
      7.986341641229364,
      7.775583952733949,
      7.5710943005036215,
      7.372622116679758,
      7.179792624405334,
      6.992141425132588,
      6.8091525090282,
      6.630296188023083,
      6.4550533464704705,
      6.28292644623515,
      6.113461849098494,
      5.946266632311279,
      5.781011458127437,
      5.617438268409336,
      5.455365341630521,
      5.294685101493479,
      5.135368429263801,
      4.9774589312275115,
      4.821069693681444,
      4.666370926545005,
      4.513596051301742,
      4.363028832195021,
      4.2149964784368805,
      4.069883736455456,
      3.9281039573582053,
      3.790064170317666,
      3.6561518344013044,
      3.526723696380275,
      3.4020969048953726,
      3.282542802816864,
      3.168278874023255,
      3.05946526701934,
      2.9562052873800657,
      2.8585375626012484,
      2.7664384383303764,
      2.6798189070311955,
      2.598541489706788,
      2.5224262531761426,
      2.4512436428742013,
      2.3847500775177024,
      2.322675032690102,
      2.2647150126470854,
      2.210549244409861,
      2.1598123503754474,
      2.112113798867103,
      2.0670966428259963,
      2.0244269024665082,
      1.9837944387842508,
      1.9449280138902711,
      1.907609224321948,
      1.8716673030426185,
      1.8369652600601438,
      1.8033860527291121,
      1.7708300068731293,
      1.7392172003694677,
      1.7084824691213067,
      1.6785715316226426,
      1.649438221263601,
      1.6210425009921507,
      1.5933473977162715,
      1.5663178163239715,
      1.5399227249461065,
      1.5141345332913476,
      1.4889283231944654,
      1.4642812999559345,
      1.4401723961540094,
      1.4165819840903748,
      1.3934916633131191,
      1.3708842666297874,
      1.3487444038736116,
      1.3270580757905677,
      1.305811895593041,
      1.2849926806086591,
      1.2645875615207716,
      1.2445840487577957,
      1.2249700679156612,
      1.2057339777553264,
      1.1868645740249137,
      1.1683510856950055,
      1.150183165037584,
      1.132350936690252,
      1.1148457109677512,
      1.0976595477565767,
      1.0807848960561146,
      1.0642145603842372,
      1.047942566229632,
      1.031962908501517,
      1.0162691826749235,
      1.0008548000178683,
      0.9857131288116607,
      0.9708375861938089,
      0.9562216976456327,
      0.9418598281104109,
      0.927747854370769,
      0.9138813843278508,
      0.9002556195639944,
      0.8868655499645529,
      0.8737060830879385,
      0.8607721284708731,
      0.848058652549306,
      0.835560711982584,
      0.8232734752095929,
      0.8111922341022488,
      0.7993124103045813,
      0.7876295565557003,
      0.7761393566390347,
      0.7648376232410741,
      0.7537202950819353,
      0.7427834333506166,
      0.7320232175234583,
      0.7214359411737958,
      0.7110180077663057,
      0.7007659268590578,
      0.6906763100917523,
      0.6807458666398498,
      0.6709714004564465,
      0.6613498061048106,
      0.6518780563194156,
      0.6425531546482643,
      0.6333721796945119,
      0.6243323129400794,
      0.6154308278687953,
      0.6066650811676666,
      0.5980325063384877,
      0.589530608838068,
      0.5811565323292341,
      0.5729072319572698,
      0.5647799568359915,
      0.55677217784033,
      0.5488815332683882,
      0.5411057906814261,
      0.533442820957623,
      0.525890579712941,
      0.5184470939874372,
      0.5111104534081236,
      0.50387880306634,
      0.4967503386363259,
      0.48972330258772906,
      0.48279598088146636,
      0.47596670076102743,
      0.46923382875311487,
      0.46259576893309795,
      0.45605096148438773,
      0.44959788130337536,
      0.44323503675651,
      0.43696096844075893,
      0.430774248486726,
      0.4246734793927553,
      0.41865729310555944,
      0.41272434991965784,
      0.4068733378857567,
      0.4011029718163835,
      0.39541199280854644,
      0.38979916729461656,
      0.3842632863630132,
      0.3788031650707168,
      0.3734176417011721,
      0.3681055771211956,
      0.3628658543424269,
      0.35769734372817474,
      0.35259870858371173,
      0.3475687013164989,
      0.34260641058682195,
      0.3377109585046803,
      0.33288147396701806,
      0.3281170709738517,
      0.32341685052895097,
      0.3187801656469314,
      0.31420682064195105,
      0.30969660230977814,
      0.305249078443589,
      0.3008636537297279,
      0.2965396282383566,
      0.2922762369494898,
      0.2880726762362661,
      0.2839281213232788,
      0.2798417647588643,
      0.2758128950820049,
      0.27184079336882055,
      0.26792470634897964,
      0.26406386208932797,
      0.2602576433156961,
      0.2565056908584493,
      0.2528075483604154,
      0.249162647247098,
      0.24557034740920428,
      0.24202996482306255,
      0.23854078987660637,
      0.23510210009640678,
      0.23171316816453552,
      0.22837326753397005,
      0.22508167607138407,
      0.22183767860825665,
      0.21864056811782337,
      0.21548961478687456,
      0.2123840270835848,
      0.20932304476504193,
      0.2063059484577593,
      0.20333204960719894,
      0.20040068385700974,
      0.19751120629487015,
      0.1946629881531796,
      0.19185541471158366,
      0.18908788382112274,
      0.18635980468937602,
      0.18367059713887463,
      0.18101969089136136,
      0.17840652520635022,
      0.17583054851777688,
      0.17329121801594138,
      0.170787999632636,
      0.16832036769823522,
      0.16588780479748094,
      0.16348980164633095,
      0.16112585672242213,
      0.15879547295303212,
      0.15649814143761323,
      0.15423335865846277,
      0.15200063758719237,
      0.14979950461905892,
      0.14762949710523898,
      0.14549016212163363,
      0.14338105539536156,
      0.14130174048006955,
      0.13925178824749315,
      0.13723077664868838,
      0.13523829026781706,
      0.13327392015620645,
      0.131337263692447,
      0.12942792418767232,
      0.1275455109605156,
      0.12568963930319102,
      0.12385993016049889,
      0.12205601008077312,
      0.12027751124145049,
      0.11852407121226301,
      0.11679533291356593,
      0.11509094455992865,
      0.11341055945508437,
      0.11175383600035257,
      0.11012043773869218,
      0.10851003303357384,
      0.1069222952091431,
      0.10535690218487566,
      0.10381353669797486,
      0.10229188604524926,
      0.10079164215233193,
      0.0993125013399949,
      0.09785416432806981,
      0.09641633624129829,
      0.09499872657303328,
      0.09360104894114231,
      0.09222302100440305,
      0.09086436463441029,
      0.08952480561218232,
      0.08820407377085424,
      0.08690190284073246,
      0.08561803039400566,
      0.08435219770403404,
      0.08310414982769354,
      0.08187363545606798,
      0.08066040686392632,
      0.07946421998622549,
      0.07828483418660766,
      0.07712201216840392,
      0.07597552025375474,
      0.07484512814469034,
      0.07373060866118626,
      0.07263173779269115,
      0.07154829488524561,
      0.0704800624365271,
      0.06942682602023846,
      0.06838837429815132,
      0.06736449895065355,
      0.06635499455213804,
      0.06535965861571763,
      0.06437829159127988,
      0.06341069677916546,
      0.06245668024481362,
      0.06151605072445563,
      0.0605886198618565,
      0.0596742019788704,
      0.058772613871613165,
      0.057883675048612825,
      0.057007207517773606,
      0.05614303580208666,
      0.055290986958374026,
      0.05445089044957445,
      0.05362257820105144,
      0.05280588451992542,
      0.052000645937327776,
      0.05120670148509052,
      0.0504238924255167,
      0.04965206220248778,
      0.0488910566140438,
      0.04814072344001957,
      0.04740091279020126,
      0.04667147672601961,
      0.04595226956456732,
      0.04524314750657801,
      0.044543968972022986,
      0.04385459426598245,
      0.043174885672125005,
      0.04250470746420327,
      0.04184392585237585,
      0.04119240888252662,
      0.040550026501744864,
      0.03991665033841164,
      0.03929215399777058,
      0.038676412795381636,
      0.03806930383149826,
      0.03747070592876573,
      0.036880499665989164,
      0.03629856720517484,
      0.03572479242387509,
      0.03515906074850255,
      0.03460125934059324,
      0.034051277009738444,
      0.03350900403413899,
      0.03297433215874719,
      0.03244715485655844,
      0.03192736696041269,
      0.031414864739388856,
      0.030909545916381415,
      0.03041130976188271,
      0.029920056916797347,
      0.029435689487708444,
      0.028958110899701132,
      0.028487225945171425,
      0.02802294073632294,
      0.027565162668773294,
      0.02711380054949792,
      0.026668764278350018,
      0.026229965144731717,
      0.025797315709433815,
      0.025370729653539096,
      0.024950122007152808,
      0.024535408950322336,
      0.0241265078669339,
      0.023723337256626686,
      0.02332581671509796,
      0.02293386698172363,
      0.022547410081116583,
      0.02216636889703677,
      0.021790667557666808,
      0.021420231252774504,
      0.02105498604902698,
      0.02069485919855588,
      0.020339779000333066,
      0.019989674646510715,
      0.019644476339583865,
      0.01930411543245069,
      0.018968524076762812,
      0.018637635364278274,
      0.0183113834464476,
      0.017989703257242366,
      0.017672530671769965,
      0.017359802553929892,
      0.01705145656624921,
      0.01674743136461196,
      0.016447666395829875,
      0.01615210194673682,
      0.01586067903724039,
      0.015573339634576704,
      0.01529002651463387,
      0.015010683266819988,
      0.014735254200011821,
      0.014463685358034994,
      0.014195925879790558,
      0.013931925146743135,
      0.013671632197047636,
      0.013414996219075851,
      0.013161966593610288,
      0.0129124932615809,
      0.012666526559678652,
      0.01242401741341176,
      0.012184917418261795,
      0.011949178751518212,
      0.01171675428390496,
      0.011487597419899492,
      0.011261662290468466,
      0.011038903566647147,
      0.01081927663091616,
      0.01060273755474029,
      0.010389242865015655,
      0.010178749696515018,
      0.009971215852549283,
      0.009766599785757762,
      0.009564860479718496,
      0.009365957389870208,
      0.009169850614994606,
      0.008976500893493203,
      0.008785869500137105,
      0.008597918202381464,
      0.008412609237379454,
      0.008229905552153664,
      0.008049770492437151,
      0.0078721679708928,
      0.007697062274338612,
      0.007524418292768481,
      0.007354201457684313,
      0.00718637775935844,
      0.007020913511405429,
      0.006857775536638361,
      0.006696931005163718,
      0.006538347750834114,
      0.006381994024097379,
      0.006227838481901421,
      0.006075850051869372,
      0.005925998376638302,
      0.005778253427532039,
      0.005632585520211276,
      0.005488965586260859,
      0.005347364810904839,
      0.0052077547681607045,
      0.005070107500045774,
      0.004934395336775679,
      0.004800591080898601,
      0.00466866797044395,
      0.0045385995230616,
      0.004410359584639285,
      0.004283922487635606,
      0.004159262950159825,
      0.004036355963984117,
      0.0039151768618249224,
      0.00379570145599533,
      0.003677905682469016,
      0.0035617659390956187,
      0.0034472589356800212,
      0.003334361691677829,
      0.0032230516366268135,
      0.0031133064709102333,
      0.0030051042116454687,
      0.0028984231191870992,
      0.0027932418343467177,
      0.0026895392372570724,
      0.0025872945745782213,
      0.0024864873588647473,
      0.0023870972498279764,
      0.0022891043754665026,
      0.002192489190276355,
      0.0020972322586419586,
      0.00200331445208534,
      0.0019107170268841925,
      0.0018194213404293309,
      0.0017294090961817608,
      0.0016406623291171565,
      0.0015531632651878972,
      0.0014668943342574792,
      0.0013818381201943905,
      0.0012979776551570567,
      0.001215296181120853,
      0.0011337771095750223,
      0.001053404020071207,
      0.000974160875545514,
      0.0008960318258199534,
      0.0008190012090131391,
      0.0007430536873310205,
      0.0006681738812747217,
      0.0005943467421973251,
      0.0005215574737504656,
      0.000449791601237796,
      0.0003790346157364104,
      0.0003092723178879391,
      0.00024049079408173737,
      0.00017267621530588263,
      0.00010581501840094326,
      3.989379554959764e-05,
      -2.510064400426597e-05,
      -8.918139556182606e-05,
      -0.00015236120504547891
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566960094361106,
      10.33745078814219,
      10.100454715490883,
      9.858900257010356,
      9.61517888464987,
      9.371369271115984,
      9.129267840265044,
      8.890351766819572,
      8.655804097549685,
      8.426525219156822,
      8.203134291342636,
      7.985984875564957,
      7.775191802635739,
      7.570667212458077,
      7.372160391626094,
      7.179296414515954,
      6.991610581078072,
      6.808586758897063,
      6.629695284710902,
      6.454417176358334,
      6.282255170892586,
      6.11275586229258,
      5.945526528562719,
      5.780238113903206,
      5.616632850444926,
      5.454529352944519,
      5.293820425797969,
      5.134477392330634,
      4.976544296125272,
      4.820134463781457,
      4.665418448563877,
      4.5126300979322576,
      4.362053666585219,
      4.214016980458009,
      4.068905513924294,
      3.927132517838014,
      3.7891048101429488,
      3.655209543275402,
      3.525803071845274,
      3.401202147310938,
      3.281677701300506,
      3.16744660859019,
      3.0586683931747,
      2.9554455589805952,
      2.857815944903435,
      2.7657548459262093,
      2.6791725264496744,
      2.597931018628226,
      2.5218494924244657,
      2.4506980474494804,
      2.3842329866728758,
      2.3221835699568074,
      2.264246113307539,
      2.2100995742544307,
      2.159378190558831,
      2.111691609600684,
      2.0666831770841028,
      2.0240191644006735,
      1.9833898205762885,
      1.9445244832263593,
      1.9072052895866394,
      1.8712618762020772,
      1.8365575217740082,
      1.802975254619298,
      1.7704155778098953,
      1.7387987626665031,
      1.7080597827646213,
      1.6781444553785818,
      1.649006683639489,
      1.620606480043479,
      1.59290693155926,
      1.565872969759755,
      1.5394735703520488,
      1.5136811484342934,
      1.488470789031157,
      1.463819699082014,
      1.439706811849651,
      1.416112499757292,
      1.3930183619445253,
      1.3704072417549034,
      1.3482637785276754,
      1.3265739838492616,
      1.3053244525191172,
      1.2845019888084652,
      1.26409371378191,
      1.244087130376105,
      1.2244701593914133,
      1.2052311556161592,
      1.1863589119104216,
      1.1678426550913654,
      1.149672035305254,
      1.131837190506934,
      1.114329451973629,
      1.0971408736912664,
      1.080263905075738,
      1.0636914288431465,
      1.0474175776849188,
      1.0314362718147672,
      1.0157410566344631,
      1.0003253088126969,
      0.9851823728156383,
      0.9703056496515347,
      0.9556886536275712,
      0.9413259967020035,
      0.9272135718798986,
      0.9133468879989887,
      0.8997210791854412,
      0.8863310900686701,
      0.8731717975656943,
      0.860238090732808,
      0.8475249217621772,
      0.8350273377849242,
      0.8227405008150581,
      0.8106596983060175,
      0.7987803483466733,
      0.7870980018278741,
      0.7756083410508822,
      0.7643071777230381,
      0.7531904498187874,
      0.7422542178484932,
      0.7314946607649863,
      0.7209080717093771,
      0.7104908536400439,
      0.7002395156751795,
      0.6901506688907292,
      0.6802210223730545,
      0.670447379711903,
      0.6608266349750351,
      0.6513557596984118,
      0.6420317556666949,
      0.6328517020665737,
      0.6238127804784179,
      0.6149122643214805,
      0.6061475102750516,
      0.5975159517291364,
      0.5890150939666209,
      0.5806421212382811,
      0.5723939925134567,
      0.5642679414366856,
      0.5562614285557148,
      0.54837208500911,
      0.5405976734461541,
      0.5329360610902826,
      0.5253852011160657,
      0.5179431187609077,
      0.5106079021697937,
      0.5033776955667963,
      0.4962506937795079,
      0.48922513834045694,
      0.48229931475909343,
      0.4754715497968237,
      0.46874020966416635,
      0.4621036979991549,
      0.4555604544455667,
      0.4491089534797969,
      0.4427477030590898,
      0.4364752435541144,
      0.43029014658840625,
      0.42419101411994775,
      0.4181764777446422,
      0.4122451974372141,
      0.40639586080104334,
      0.400627182424659,
      0.39493790286434677,
      0.3893267883767858,
      0.38379262957312804,
      0.3783342410314212,
      0.3729504607777629,
      0.36764014935891787,
      0.36240218939887997,
      0.3572354420271405,
      0.3521385577888736,
      0.34711038237147607,
      0.34215001736890116,
      0.3372565657056163,
      0.3324291379443693,
      0.32766683070099906,
      0.32296873286570493,
      0.31833430988740324,
      0.31376340393025276,
      0.3092557551333866,
      0.30481088529706735,
      0.3004281677829403,
      0.2961068816886915,
      0.29184624794816344,
      0.28764545331695385,
      0.28350366662219895,
      0.2794200883878628,
      0.2753940121964503,
      0.2714247099882882,
      0.2675114223562574,
      0.26365337323554583,
      0.2598499732172579,
      0.25610086363333523,
      0.2524055753457025,
      0.248763531010616,
      0.24517408458183682,
      0.2416365479903435,
      0.23815020900788997,
      0.23471434319872214,
      0.23132822195257538,
      0.22799111788961415,
      0.22470230830771962,
      0.2214610774875405,
      0.21826671826012495,
      0.21511849110301953,
      0.21201560351477222,
      0.2089572987519353,
      0.2059428598390052,
      0.20297159985616495,
      0.20004285542518377,
      0.19715598232658055,
      0.19431035230341406,
      0.19150535098976978,
      0.18874037642242367,
      0.18601483794009052,
      0.18332815539008984,
      0.18067975851348136,
      0.1780690866845829,
      0.1754955883558577,
      0.1729587207792375,
      0.17045794985673776,
      0.16799274993648322,
      0.16556260361050995,
      0.16316700148889296,
      0.16080544203891073,
      0.15847743157181615,
      0.15618248390030265,
      0.15392012024481902,
      0.1516898606009137,
      0.14949121479306257,
      0.14732370537018602,
      0.145186869416926,
      0.1430802560158894,
      0.14100342427752025,
      0.13895594217144283,
      0.13693738562073757,
      0.13494733798373806,
      0.1329853894312304,
      0.13105113668145893,
      0.12914418284450152,
      0.1272641370886712,
      0.12541061454820607,
      0.1235832361922244,
      0.12178162848883022,
      0.12000542367184211,
      0.1182542593892311,
      0.11652777855322854,
      0.11482562944243821,
      0.11314746552227609,
      0.11149294528181035,
      0.10986173215057346,
      0.10825349461560238,
      0.10666790605008121,
      0.10510464449410752,
      0.10356339288362314,
      0.10204383855757669,
      0.10054567349222134,
      0.09906859419472872,
      0.09761230145929496,
      0.09617650052597675,
      0.09476090088527879,
      0.09336521627583477,
      0.09198916443546272,
      0.09063246737494544,
      0.08929485094768702,
      0.08797604505633953,
      0.08667578343425955,
      0.08539380378701021,
      0.0841298475759597,
      0.08288365992596021,
      0.08165498956856738,
      0.08044358898232384,
      0.07924921412321419,
      0.07807162447297919,
      0.07691058293135408,
      0.0757658558731678,
      0.07463721289986847,
      0.07352442698432295,
      0.0724272743129237,
      0.07134553435551572,
      0.07027898961946988,
      0.06922742587638053,
      0.06819063179268922,
      0.06716839908339918,
      0.06616052248552512,
      0.06516679967629184,
      0.06418703117335667,
      0.06322102038514452,
      0.06226857351648278,
      0.06132949933469157,
      0.06040360954644506,
      0.059490718507839546,
      0.05859064318944054,
      0.057703203220862545,
      0.05682822068459517,
      0.055965520186008345,
      0.05511492891364257,
      0.054276276397393214,
      0.05344939464165516,
      0.052634118063657954,
      0.05183028346980607,
      0.05103772987852205,
      0.05025629856495833,
      0.049485833104190184,
      0.04872617929608116,
      0.047977185092062134,
      0.047238700724326385,
      0.04651057842677159,
      0.04579267244026846,
      0.04508483916238535,
      0.04438693707931819,
      0.043698826671031143,
      0.043020370260084484,
      0.042351432179331176,
      0.04169187872466636,
      0.04104157797829156,
      0.04040039996024424,
      0.0397682165201682,
      0.039144901207261336,
      0.03853032957957778,
      0.03792437875086132,
      0.037326927780400865,
      0.03673785726511299,
      0.036157049402334544,
      0.03558438821440453,
      0.03501975929348399,
      0.03446304990592461,
      0.03391414879071228,
      0.033372946301229,
      0.03283933434007825,
      0.032313206420509166,
      0.03179445744484149,
      0.03128298389826689,
      0.030778683597535376,
      0.030281455794420258,
      0.02979120119220735,
      0.029307822047903043,
      0.028831221815553622,
      0.02836130541790104,
      0.02789797896387462,
      0.02744114997949226,
      0.026990727256210326,
      0.026546620901424865,
      0.02610874223509735,
      0.025677003970979287,
      0.02525131996414108,
      0.024831605293923045,
      0.024417776135251628,
      0.02400974991404712,
      0.023607445206803003,
      0.023210781714649655,
      0.02281968035615567,
      0.02243406304669894,
      0.022053852908272362,
      0.021678974057414892,
      0.021309351759814788,
      0.02094491226501735,
      0.020585582746475397,
      0.020231291614392303,
      0.0198819681335525,
      0.01953754259794435,
      0.019197946337538976,
      0.018863111640166946,
      0.018532971702555422,
      0.018207460737489193,
      0.017886513779776573,
      0.017570066819634817,
      0.017258056780897153,
      0.016950421413766455,
      0.016647099426152445,
      0.016348030281640294,
      0.016053154375770422,
      0.01576241283415403,
      0.015475747631561787,
      0.015193101650715636,
      0.01491441856021867,
      0.014639642758869104,
      0.014368719902006328,
      0.01410159886394554,
      0.013838229311043677,
      0.013578560480505729,
      0.01332254172577952,
      0.013070122603922563,
      0.012821253072254589,
      0.01257588376923301,
      0.012333965623571488,
      0.012095450291559324,
      0.011860290050179764,
      0.011628437768856435,
      0.011399846909214464,
      0.011174471673223866,
      0.010952266791645501,
      0.010733187787193033,
      0.010517190593964767,
      0.010304231893574493,
      0.010094268920337428,
      0.00988725959914751,
      0.009683162354705559,
      0.009481936196685513,
      0.00928354073053544,
      0.009087936113501975,
      0.008895083076441969,
      0.008704943011565422,
      0.008517477661758767,
      0.008332649409417739,
      0.008150421154417189,
      0.007970756333847494,
      0.007793618899434352,
      0.007618973277743646,
      0.0074467844088631505,
      0.007277017735890933,
      0.007109639171261266,
      0.006944615210882029,
      0.006781912662854784,
      0.006621498822513509,
      0.006463341464888045,
      0.006307408991871127,
      0.006153669977219648,
      0.006002093552447728,
      0.005852649387159195,
      0.005705307442791766,
      0.005560038166664894,
      0.005416812388507677,
      0.005275601339536613,
      0.0051363767050631275,
      0.004999110589712196,
      0.004863775375888226,
      0.004730343857323923,
      0.0045987892594851355,
      0.0044690852425894045,
      0.004341205804548434,
      0.004215125274421275,
      0.004090818236978379,
      0.003968259820989051,
      0.003847425455346341,
      0.003728290887067222,
      0.003610832175173639,
      0.0034950257684906497,
      0.0033808483686163155,
      0.0032682770993458917,
      0.0031572893532223123,
      0.003047862842764105,
      0.002939975627379951,
      0.0028336060209744754,
      0.002728732672240762,
      0.002625334563392033,
      0.002523391004185261,
      0.0024228814487219784,
      0.0023237857520918394,
      0.0022260839767512157,
      0.0021297566259248254,
      0.0020347842171173558,
      0.0019411476955942652,
      0.0018488283596492145,
      0.001757807640556902,
      0.0016680672845039058,
      0.0015795893314955072,
      0.001492356019531429,
      0.001406349835819677,
      0.0013215535752282817,
      0.0012379501263103806,
      0.0011555226586830256,
      0.00107425462055144,
      0.0009941297627704367,
      0.0009151319477860513,
      0.0008372453917862201,
      0.0007604544434067564,
      0.0006847436879678127,
      0.0006100979822390791,
      0.0005365023568205086,
      0.00046394200829586726,
      0.00039240233019094265,
      0.0003218689764229815,
      0.0002523277350851797,
      0.00018376472076769113,
      0.00011616613540747489,
      4.951843054847908e-05,
      -1.6191707735345936e-05,
      -8.097754475553435e-05,
      -0.00014485200563295602,
      -0.00020782796152297132
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566956609050234,
      10.337433600529371,
      10.100415332690668,
      9.858832841200138,
      9.615079378814922,
      9.371234625934344,
      9.129096182393493,
      8.890142596350072,
      8.655557484078102,
      8.426241572271286,
      8.20281418847022,
      7.985628933734006,
      7.774800583518472,
      7.570241163869405,
      7.371699816827127,
      7.178801468285472,
      6.991081115927819,
      6.808022505113126,
      6.629095995364117,
      6.453782740757858,
      6.281585753067323,
      6.11205185983015,
      5.944788538835473,
      5.779467014470176,
      5.615829809643588,
      5.453695875091506,
      5.2929583950144545,
      5.133589133554323,
      4.975632569881013,
      4.819202269178802,
      4.664469127112127,
      4.511667411841161,
      4.3610818638503615,
      4.213040925972885,
      4.067930797696187,
      3.9261646292591057,
      3.7881490269290357,
      3.654270837276302,
      3.5248860225530634,
      3.400310937448119,
      3.2808161031908365,
      3.1666177870367824,
      3.057874888538591,
      2.9546891438272156,
      2.8570975704543367,
      2.765074419491254,
      2.6785292302749975,
      2.5973235474353484,
      2.521275646436126,
      2.4501552850797585,
      2.3837186505321637,
      2.321694785099311,
      2.2637798187721545,
      2.209652386507159,
      2.1589463667893276,
      2.111271636966181,
      2.0662718321239666,
      2.0236134711145963,
      1.9829871889906872,
      1.9441228956481047,
      1.9068032652887679,
      1.8708583352620847,
      1.8361516503116986,
      1.8025663093848683,
      1.7700029920717713,
      1.7383821613251091,
      1.707638928198443,
      1.6777192080352608,
      1.6485769730915585,
      1.620172285196667,
      1.5924682905496628,
      1.5654299480485983,
      1.5390262412567728,
      1.5132295899206891,
      1.4880150826290999,
      1.4633599277716107,
      1.4392430591545053,
      1.4156448493817542,
      1.3925468971390431,
      1.3699320557998864,
      1.3477849940562923,
      1.3260917347383576,
      1.3048388541244509,
      1.2840131433692887,
      1.2636017140588236,
      1.2435920624365864,
      1.2239721041851748,
      1.2047301898978018,
      1.1858551094236163,
      1.1673360867413949,
      1.1491627704554543,
      1.13132531221556,
      1.113815063467642,
      1.096624072415912,
      1.0797447898229136,
      1.0631702495355775,
      1.0468945922165618,
      1.0309116724583396,
      1.0152149907547992,
      0.9997978931483998,
      0.9846537030266735,
      0.9697758065696693,
      0.9551577077957433,
      0.9407942662508373,
      0.9266813919839533,
      0.9128144947218426,
      0.8991886419477297,
      0.8857987332344835,
      0.8726396149023997,
      0.8597061552138419,
      0.8469932921561361,
      0.8344960636222081,
      0.8222096252851866,
      0.8101292601602976,
      0.7982503832681738,
      0.7865685432213275,
      0.77507942086538,
      0.76377882672372,
      0.7526626980470086,
      0.7417270947121454,
      0.7309681949623881,
      0.7203822914959451,
      0.7099657871844538,
      0.6997151907681056,
      0.6896271127689368,
      0.6796982621927494,
      0.6699254419433794,
      0.6603055458027478,
      0.6508355439855678,
      0.6415124366945752,
      0.6323333035242831,
      0.62329532645961,
      0.6143957788809599,
      0.6056320170277072,
      0.5970014742529245,
      0.588501655408137,
      0.580129785657901,
      0.5718828277381184,
      0.5637580004276599,
      0.5557527535842127,
      0.5478647111038626,
      0.5400916306144212,
      0.5324313758035575,
      0.5248818971664561,
      0.5174412181781942,
      0.5101074259483924,
      0.5028786634158112,
      0.4957531245744808,
      0.48872905043919906,
      0.4818047256992261,
      0.47497847672239835,
      0.46824866918553365,
      0.46161370614710845,
      0.45507202689819326,
      0.4486221055285044,
      0.4422624495169274,
      0.4359915988610026,
      0.4298081249613497,
      0.4237106293921921,
      0.41769774314794206,
      0.4117681258099734,
      0.4059204646380792,
      0.40015347392136386,
      0.39446589398122966,
      0.3888564904153242,
      0.3833240535597417,
      0.3778673977149565,
      0.372485360443879,
      0.36717680194450514,
      0.36194060444910864,
      0.35677562030632953,
      0.3516805219342696,
      0.34665423062893785,
      0.3416958269143709,
      0.33680439979519883,
      0.33197904400046235,
      0.32721884153455466,
      0.3225229228500398,
      0.31789084913256743,
      0.31332244523427927,
      0.3088174049806979,
      0.30437521187426136,
      0.2999952137417933,
      0.29567667220714927,
      0.2914187962049463,
      0.28722076463461343,
      0.2830817409369596,
      0.27900093920868596,
      0.27497765212790226,
      0.2710111434036388,
      0.2671006478663602,
      0.26324538584149976,
      0.2594447957186479,
      0.25569851968112145,
      0.2520060758137418,
      0.24836687824728704,
      0.24478027518994427,
      0.24124557457828757,
      0.23776206144020268,
      0.23432900949097332,
      0.23094568889003142,
      0.22761137144867843,
      0.2243253338941827,
      0.2210868601584361,
      0.21789524262418125,
      0.214749732274619,
      0.21164953563784664,
      0.20859389943152407,
      0.20558210897619594,
      0.20261347894860843,
      0.19968734705019608,
      0.19680306975423026,
      0.19396001923817724,
      0.19115758143975062,
      0.18839515455590278,
      0.18567214813196395,
      0.1829879821159435,
      0.18034208633156165,
      0.1777339000516218,
      0.17516287167067235,
      0.1726284585650521,
      0.17013012661859964,
      0.16766735025290486,
      0.16523961200840406,
      0.16284640239371062,
      0.16048722004168706,
      0.15816157123796679,
      0.15586896973021203,
      0.15360893676717652,
      0.15138100092869725,
      0.1491846981155918,
      0.14701957114009678,
      0.14488515605707766,
      0.14278098416542487,
      0.14070660141248723,
      0.13866156699331822,
      0.13664545094759584,
      0.13465783270227105,
      0.13269829989229595,
      0.13076644752579383,
      0.12886187748387945,
      0.12698419827118446,
      0.1251330245386768,
      0.12330797700753829,
      0.12150868214471759,
      0.11973477197733416,
      0.11798588402011102,
      0.11626166123891064,
      0.11456175199379412,
      0.1128858097827294,
      0.1112334931230424,
      0.1096044655886609,
      0.10799839577487835,
      0.10641495711421972,
      0.10485382777179683,
      0.10331469068344454,
      0.10179723327901037,
      0.1003011475639772,
      0.09882613009555995,
      0.09737188181516192,
      0.0959381080802616,
      0.09452451849478398,
      0.09313082685598523,
      0.09175675110914214,
      0.09040201318286892,
      0.08906633912472547,
      0.08774945893260921,
      0.086451106540231,
      0.0851710196348701,
      0.08390893970126038,
      0.08266461204081642,
      0.0814377854989756,
      0.08022821257696366,
      0.07903564937243468,
      0.07785985540204578,
      0.0767005937578607,
      0.07555763084061996,
      0.07443073643245406,
      0.07331968361006597,
      0.0722242486794066,
      0.07114421105175345,
      0.07007935338274582,
      0.06902946143004579,
      0.06799432411674604,
      0.06697373326902131,
      0.06596748373970018,
      0.06497537327265966,
      0.06399720239983114,
      0.06303277462539691,
      0.06208189622670448,
      0.06114437624937904,
      0.060220026462189505,
      0.05930866126466471,
      0.05841009767757375,
      0.05752415539711944,
      0.056650656665465836,
      0.055789426248863384,
      0.05494029136171126,
      0.054103081689283836,
      0.05327762924072228,
      0.052463768676000486,
      0.05166133681204302,
      0.05087017274168312,
      0.050090117948408085,
      0.04932101600995303,
      0.04856271286671317,
      0.04781505659328458,
      0.04707789735604239,
      0.04635108751575519,
      0.045634481490021375,
      0.044927935731942786,
      0.0442313088436304,
      0.04354446129060968,
      0.04286725562940272,
      0.04219955619885262,
      0.041541229397241364,
      0.04089214348708776,
      0.04025216852763295,
      0.039621176413120664,
      0.03899904094969706,
      0.03838563768837035,
      0.037780843831522616,
      0.037184538552937865,
      0.036596602478985496,
      0.03601691798060639,
      0.03544536919484537,
      0.03488184173530938,
      0.03432622278671892,
      0.03377840128193845,
      0.033238267802546434,
      0.032705714282177535,
      0.03218063428779734,
      0.03166292279808076,
      0.03115247633431326,
      0.030649192886876037,
      0.030152971799803318,
      0.02966371395370012,
      0.02918132147665545,
      0.02870569797277759,
      0.0282367483806801,
      0.027774379060091316,
      0.02731849757831141,
      0.02686901275608613,
      0.02642583481372876,
      0.025988875242353732,
      0.0255580466807262,
      0.025133263171262556,
      0.024714439747390807,
      0.024301492794895654,
      0.023894339794340882,
      0.02349289944370716,
      0.023097091505405853,
      0.022706836912273924,
      0.02232205775049367,
      0.021942677069252018,
      0.02156861912010281,
      0.021199809197258467,
      0.020836173667798556,
      0.02047763988060145,
      0.02012413624919652,
      0.019775592123902473,
      0.01943193792244599,
      0.019093104997209166,
      0.018759025741665727,
      0.018429633471858352,
      0.018104862343294583,
      0.017784647512659273,
      0.017468925023628977,
      0.017157631861846864,
      0.016850705854147736,
      0.01654808571105763,
      0.016249711003168653,
      0.015955522203917112,
      0.015665460545302805,
      0.015379468118389103,
      0.015097487824433561,
      0.014819463348273523,
      0.014545339191801817,
      0.014275060850861289,
      0.014008576687660614,
      0.013745836672807606,
      0.013486790376228826,
      0.013231387233782473,
      0.012979577087030137,
      0.012731310011827354,
      0.01248653656786056,
      0.012245207859130355,
      0.012007275602996895,
      0.011772692144386655,
      0.011541410472358314,
      0.011313384112152852,
      0.011088567273597354,
      0.010866914856859129,
      0.010648382262604103,
      0.010432925590065048,
      0.01022050154917274,
      0.010011067577004077,
      0.009804581518095195,
      0.009601001878731762,
      0.009400287778882058,
      0.009202398778886452,
      0.009007295198099051,
      0.008814937723765641,
      0.008625287695699563,
      0.008438307037006125,
      0.008253958225965412,
      0.008072204256798393,
      0.007893008551519021,
      0.007716335026507487,
      0.007542148249905132,
      0.007370413308892163,
      0.007201095589834105,
      0.007034161119889284,
      0.006869576274318124,
      0.006707307962677836,
      0.006547323588082047,
      0.006389591084618574,
      0.006234078651637807,
      0.006080755061403283,
      0.005929589536612745,
      0.005780551775884187,
      0.0056336117202289955,
      0.005488739829662641,
      0.005345907024376096,
      0.005205084596026841,
      0.005066244203317014,
      0.004929358008835028,
      0.004794398467839493,
      0.004661338538397898,
      0.00453015150518329,
      0.004400811020957155,
      0.004273290996712475,
      0.004147565747495981,
      0.0040236101586744386,
      0.00390139925004141,
      0.003780908517131305,
      0.003662113739102315,
      0.0035449909731302726,
      0.003429516727387818,
      0.003315667843272652,
      0.003203421423897147,
      0.003092754877508633,
      0.0029836459370769,
      0.0028760726872461145,
      0.002770013471868636,
      0.0026654470067174227,
      0.0025623523338071433,
      0.002460708713602613,
      0.002360495753642057,
      0.002261693220279294,
      0.0021642813344891773,
      0.002068240548019451,
      0.0019735515492571823,
      0.0018801953083431404,
      0.0017881530787725562,
      0.0016974063810925458,
      0.0016079369112453347,
      0.001519726723229558,
      0.0014327581585332075,
      0.0013470136176868294,
      0.0012624759049557083,
      0.0011791280969700587,
      0.0010969533618945993,
      0.0010159352559833983,
      0.0009360575762187434,
      0.0008573042394614271,
      0.0007796593529954103,
      0.0007031072092450434,
      0.0006276325485616132,
      0.0005532202577361331,
      0.00047985531686957545,
      0.00040752306495181825,
      0.00033620887485986414,
      0.00026589835711855167,
      0.00019657744322501601,
      0.0001282322412223695,
      6.084895573804052e-05,
      -5.585892377571965e-06,
      -7.10856338142427e-05,
      -0.0001356634266233593,
      -0.0001993323333367609,
      -0.00026210507338243923
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566953134217064,
      10.337416461617243,
      10.100376055460144,
      9.858765596962883,
      9.614980112642241,
      9.371100291267494,
      9.128924908373019,
      8.889933884882213,
      8.655311407912233,
      8.425958542861649,
      8.202494783562374,
      7.98527376974253,
      7.7744102229388865,
      7.569816055365466,
      7.37124026404365,
      7.178307593739682,
      6.990552742748999,
      6.807459371340073,
      6.6284978612879355,
      6.453149501685486,
      6.280917581988707,
      6.111349159909569,
      5.9440519131122915,
      5.77869734655703,
      5.615028271774912,
      5.452863974358967,
      5.292098017945645,
      5.132702607095885,
      4.974722655764966,
      4.818271964674687,
      4.663521769850675,
      4.510706739504251,
      4.360112097929544,
      4.212066925772745,
      4.0669581472471,
      3.925198811280122,
      3.7871953115104704,
      3.653334187991932,
      3.5239710097039922,
      3.3994217953257033,
      3.2799565876398193,
      3.1657910464419783,
      3.0570834492832883,
      2.953934775237666,
      2.8563812120037184,
      2.764395972578286,
      2.677887874298571,
      2.596717974826042,
      2.5207036559948897,
      2.449614334677167,
      2.383206083331685,
      2.321207728412137,
      2.263315214513969,
      2.209206855094211,
      2.1585161699014352,
      2.1108532659953125,
      2.065862068040586,
      2.0232093432477116,
      1.9825861117535657,
      1.9437228545269416,
      1.9064027829856751,
      1.8704563345774199,
      1.8357473202595262,
      1.8021589088812806,
      1.7695919550519177,
      1.7379671137331774,
      1.7072196330662937,
      1.6772955259680404,
      1.648148834134177,
      1.6197396683781549,
      1.5920312339814,
      1.5649885167117046,
      1.5385805077854764,
      1.51277963225696,
      1.4875609817663542,
      1.4629017666049113,
      1.4387809216733012,
      1.4151788194914405,
      1.3920770579224095,
      1.3694585003040465,
      1.347307844918586,
      1.3256111260754464,
      1.304354901155301,
      1.2835259479193784,
      1.2631113687047364,
      1.2430986526278611,
      1.2234757098675453,
      1.2042308878570216,
      1.1853529735008757,
      1.1668311885130436,
      1.1486551793579247,
      1.1308151108820768,
      1.1133023553697177,
      1.0961089550465162,
      1.0792273614166064,
      1.0626507598164348,
      1.0463732986767948,
      1.030388767425791,
      1.0146906216977885,
      0.9992721768035742,
      0.9841267347414665,
      0.9692476668556125,
      0.954628508470997,
      0.9402643455997473,
      0.9261510632908527,
      0.912283979569652,
      0.8986580997536768,
      0.8852682813378173,
      0.8721093424467625,
      0.8591761320717535,
      0.8464635755090598,
      0.8339667017008124,
      0.8216806600577384,
      0.8096007293824202,
      0.7977223222046179,
      0.7860409851272854,
      0.7745523975523463,
      0.7632523691596214,
      0.7521368361795281,
      0.7412018578614759,
      0.7304436120995828,
      0.7198583911018367,
      0.7094425971973285,
      0.699192738849999,
      0.6891054261276799,
      0.6791773675449739,
      0.6694053658728752,
      0.6597863145485351,
      0.65031718263498,
      0.6409949685650196,
      0.6318167521264239,
      0.6227797155938873,
      0.6138811322430905,
      0.6051183584156162,
      0.5964888270782277,
      0.5879900428857819,
      0.5796192721240577,
      0.5713734814021032,
      0.5632498739756489,
      0.5552458894220478,
      0.5473591442186829,
      0.5395873910490666,
      0.5319284900903104,
      0.524380389284368,
      0.5169411103430749,
      0.5096087387283593,
      0.5023814164711793,
      0.4952573367272204,
      0.48823473988589433,
      0.48131191013941665,
      0.4744871731490814,
      0.4677588940488056,
      0.46112547553641686,
      0.4545853564122309,
      0.44813701049414223,
      0.4417789448209108,
      0.4355096988259851,
      0.4293278435454295,
      0.42323198020470454,
      0.41722073943384785,
      0.4112927805047228,
      0.40544679036622655,
      0.3996814828877544,
      0.3939955979586261,
      0.3883879008535566,
      0.3828571814350676,
      0.37740225367944635,
      0.372021954842573,
      0.3667151446243109,
      0.3614807049691072,
      0.35631747934456076,
      0.35122417750966006,
      0.34619978421403613,
      0.3412433535878428,
      0.3363539607783647,
      0.33153068147773773,
      0.32677258474078635,
      0.32207885469505126,
      0.3174491516349296,
      0.31288326816465317,
      0.3083808456989144,
      0.3039413325195135,
      0.29956405268830294,
      0.29524825170186336,
      0.2909931277675042,
      0.2867978523410725,
      0.2826615837951777,
      0.2785835502412159,
      0.27456304342195104,
      0.2705993189976388,
      0.2666916065484399,
      0.26283912252626096,
      0.25904133296911913,
      0.25529788093857186,
      0.2516082720097983,
      0.24797191166093474,
      0.24438814226481437,
      0.2408562678510676,
      0.23737557071439133,
      0.23394532284574762,
      0.23056479322254694,
      0.22723325279370338,
      0.22394997762417979,
      0.2207142511029984,
      0.2175253654146847,
      0.21438256198025535,
      0.21128504654313007,
      0.2082320693154055,
      0.20522291779515897,
      0.20225690823849565,
      0.1993333793968376,
      0.1964516884188115,
      0.19361120797498738,
      0.1908113243019592,
      0.1880514358281375,
      0.18533095209759812,
      0.1826492931790615,
      0.18000588898595174,
      0.17740017891263607,
      0.17483161137914996,
      0.17229964363953004,
      0.16980374165605178,
      0.1673433798616562,
      0.16491804080382866,
      0.1625272150631075,
      0.16017040110964922,
      0.15784710514192998,
      0.15555684095870106,
      0.1532991298698986,
      0.1510735005773901,
      0.1488794888529102,
      0.14671663757917183,
      0.1445844965495024,
      0.14248262245915466,
      0.140410578540645,
      0.13836791846485216,
      0.136354194268035,
      0.1343689733026642,
      0.13241183510752236,
      0.1304823693515246,
      0.12858017440306846,
      0.1267048563283574,
      0.12485602829651574,
      0.12303330977190967,
      0.12123632656615123,
      0.1194647104268927,
      0.11771809863938192,
      0.11599613408422202,
      0.11429846496321115,
      0.1126247446567722,
      0.11097463182703483,
      0.10934779017563877,
      0.1077438882877359,
      0.10616259961286707,
      0.1046036023917763,
      0.10306657967565595,
      0.10155121892842149,
      0.10005721243928464,
      0.09858425673977542,
      0.09713205284955025,
      0.09570030621253148,
      0.09428872643841892,
      0.0928970274339954,
      0.09152492725617603,
      0.0901721479475838,
      0.08883841570412339,
      0.08752346059224003,
      0.08622701654728643,
      0.08494882142319767,
      0.08368861680796026,
      0.08244614808747965,
      0.08122116420168551,
      0.08001341781705777,
      0.07882266507682509,
      0.07764866559230597,
      0.07649118252938361,
      0.07534998242788325,
      0.07422483509656143,
      0.07311551374570716,
      0.07202179482047402,
      0.07094345790919776,
      0.06988028574296168,
      0.06883206421265604,
      0.06779858218455742,
      0.0667796315558725,
      0.06577500729878075,
      0.06478450733161928,
      0.06380793235941151,
      0.06284508589307583,
      0.061895774384214654,
      0.06095980697913139,
      0.060036995420095045,
      0.05912715422932337,
      0.05823010058867078,
      0.05734565429898078,
      0.056473637612431585,
      0.055613875405081475,
      0.05476619509807565,
      0.053930426410397386,
      0.05310640149867216,
      0.052293954950369516,
      0.051492923652315295,
      0.05070314701802581,
      0.049924466562627556,
      0.04915672597917933,
      0.04839977131178779,
      0.047653450657399135,
      0.04691761431478286,
      0.04619211470880424,
      0.04547680642219215,
      0.04477154598689656,
      0.044076192071011204,
      0.043390605285852125,
      0.042714648223068655,
      0.0420481853528446,
      0.04139108314569425,
      0.040743209874152427,
      0.04010443583818212,
      0.039474633028833195,
      0.03885367525318848,
      0.03824143817740498,
      0.03763779913496707,
      0.0370426371671666,
      0.036455833191119016,
      0.03587726972002104,
      0.03530683080888385,
      0.03474440223873773,
      0.03418987141457006,
      0.03364312729502252,
      0.03310406052851893,
      0.03257256305182251,
      0.03204852855274979,
      0.031531852147034516,
      0.031022430420630593,
      0.030520161413860592,
      0.030024944630358107,
      0.0295366809433684,
      0.029055272742880632,
      0.028580623652843813,
      0.028112638707848366,
      0.02765122431913249,
      0.027196288105925524,
      0.026747739024117704,
      0.026305487360084666,
      0.025869444659814333,
      0.025439523694636198,
      0.025015638463396103,
      0.024597704167914812,
      0.024185637199238524,
      0.02377935508399578,
      0.02337877666418037,
      0.022983821836794857,
      0.022594411641096872,
      0.02221046813399972,
      0.021831914574825285,
      0.02145867522012805,
      0.021090675529919303,
      0.02072784186281545,
      0.020370101620399508,
      0.02001738332535401,
      0.019669616449775048,
      0.01932673143143963,
      0.018988659668565885,
      0.018655333702740723,
      0.01832668679546284,
      0.018002653220241624,
      0.017683168272140514,
      0.017368168058872965,
      0.01705758952387334,
      0.01675137066352846,
      0.016449450265196234,
      0.016151767985310216,
      0.015858264271842008,
      0.015568880468069956,
      0.01528355865256282,
      0.015002241851160001,
      0.01472487381990005,
      0.014451399148921082,
      0.014181763223366149,
      0.01391591396800361,
      0.013653801579844452,
      0.013395375890339671,
      0.013140586550303186,
      0.012889383398792777,
      0.012641716736969415,
      0.012397537203108943,
      0.012156796018062143,
      0.011919444908100131,
      0.011685436367646143,
      0.011454723498207324,
      0.011227259805087242,
      0.011002999537041489,
      0.010781897691098928,
      0.010563909740437711,
      0.010348991867188545,
      0.01013710088564846,
      0.00992819411110518,
      0.009722229535968317,
      0.009519165696748617,
      0.009318961740252013,
      0.009121577346092037,
      0.008926972804011744,
      0.008735109035913513,
      0.008545947449043462,
      0.008359449930803328,
      0.008175578947376045,
      0.007994297529964172,
      0.00781556920599492,
      0.007639357996178441,
      0.007465628470193024,
      0.0072943456588950885,
      0.007125475063117144,
      0.006958982753718609,
      0.006794835283034491,
      0.006632999591782711,
      0.006473443114546508,
      0.006316133741181213,
      0.006161039830645851,
      0.006008130156887482,
      0.005857373945232936,
      0.005708740808854194,
      0.005562200941348107,
      0.005417724796694148,
      0.00527528340502201,
      0.005134848118734844,
      0.004996390678584061,
      0.004859883185568578,
      0.004725298182130059,
      0.004592608518957108,
      0.004461787534806177,
      0.0043328089326534576,
      0.004205646816424934,
      0.004080275589329113,
      0.003956670050707674,
      0.003834805265142292,
      0.0037146567191530928,
      0.00359620028213926,
      0.0034794121053579844,
      0.0033642687190785486,
      0.0032507469278539817,
      0.0031388239419439566,
      0.003028477186192416,
      0.0029196844595106393,
      0.0028124239176318296,
      0.0027066739682583226,
      0.002602413237287191,
      0.002499620841098673,
      0.0023982760436169074,
      0.002298358537790424,
      0.0021998482447039653,
      0.00210272531769551,
      0.00200697017884064,
      0.0019125636010564604,
      0.0018194866009202664,
      0.0017277204404691664,
      0.0016372465535502523,
      0.0015480468102589756,
      0.0014601032992893523,
      0.00137339834039618,
      0.0012879144531529184,
      0.0012036343836579967,
      0.001120541253167935,
      0.0010386183900721589,
      0.0009578492516237946,
      0.0008782175753177519,
      0.0007997074041995956,
      0.0007223029350132562,
      0.0006459885771804654,
      0.0005707490249954333,
      0.0004965690259282533,
      0.0004234336579254958,
      0.00035132825785703063,
      0.0002802382878314673,
      0.00021014944987929367,
      0.00014104764877756327,
      7.291907676230438e-05,
      5.750025660157949e-06,
      -6.04730714098529e-05,
      -0.00012576352794170845,
      -0.00019013446273953834,
      -0.0002535988832298333,
      -0.0003161694692170863
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566949668742616,
      10.337399365306275,
      10.100336871968786,
      9.858698507231868,
      9.61488106114403,
      9.370966227650333,
      9.128753962012158,
      8.889725560875718,
      8.655065776224573,
      8.425676012571047,
      8.202175932066607,
      7.98491921415365,
      7.774020526509597,
      7.569391665717581,
      7.370781483336098,
      7.1778145283053165,
      6.9900252025236655,
      6.806897098527051,
      6.627900620591145,
      6.4525171926321425,
      6.280250381253151,
      6.110647474311419,
      5.943316348716501,
      5.777928789874729,
      5.61422789824163,
      5.452033295490625,
      5.291238922747606,
      5.131817423512028,
      4.973814145947268,
      4.8173431245391765,
      4.662575934583612,
      4.509747650096214,
      4.359143975917782,
      4.21109461968271,
      4.065987231411202,
      3.9242347573154714,
      3.7862433772197424,
      3.652399324161645,
      3.523057775102451,
      3.3985344234753723,
      3.27909882186682,
      3.164966024473344,
      3.0562936869754953,
      2.9531820328274674,
      2.8556664216806875,
      2.7637190344656104,
      2.6772479695151983,
      2.5961137983326914,
      2.520133008793679,
      2.4490746775666525,
      2.3826947626938964,
      2.3207218755881445,
      2.262851776277618,
      2.208762457251853,
      2.1580870805062426,
      2.110435982814588,
      2.06545337727757,
      2.022806280334665,
      1.9821860976271275,
      1.94332388051268,
      1.906003374609765,
      1.8700554112858214,
      1.8353440654776225,
      1.8017525838718846,
      1.769181998914162,
      1.7375531556044712,
      1.7068014378065126,
      1.6768729551007817,
      1.647721818322487,
      1.6193081867142345,
      1.59159532444092,
      1.5645482441957632,
      1.5381359450567755,
      1.5123308572386462,
      1.4871080749807346,
      1.4624448105323467,
      1.4383199994870783,
      1.4147140139804155,
      1.3916084519725074,
      1.368986186769008,
      1.346831946296078,
      1.3251317757342507,
      1.3038722140763543,
      1.283040025944996,
      1.2626223038680766,
      1.242606530138516,
      1.2229806101408354,
      1.2037328870259256,
      1.184852144850656,
      1.166327602751951,
      1.1481489054014256,
      1.1303062314421615,
      1.1127909733742927,
      1.0955951674311126,
      1.0787112663001057,
      1.0621326068918073,
      1.0458533458453034,
      1.0298672064906556,
      1.0141675999396085,
      0.9987478105469458,
      0.9836011187970941,
      0.9687208815803885,
      0.954100756189853,
      0.9397360078879406,
      0.9256224064557652,
      0.9117551934106541,
      0.8981293221950983,
      0.8847396152119458,
      0.8715808669500832,
      0.8586479105965511,
      0.8459356604759897,
      0.8334391380306427,
      0.82115348779858,
      0.8090739854476517,
      0.7971960408177484,
      0.7855151988076057,
      0.7740271376251594,
      0.7627276662009929,
      0.7516127201408291,
      0.7406783580285115,
      0.729920757165213,
      0.7193362091743227,
      0.7089211162542374,
      0.69867198639172,
      0.6885854296843374,
      0.6786581541300439,
      0.668886961857191,
      0.6592687459551154,
      0.6498004741766777,
      0.640479143532682,
      0.6313018343248369,
      0.6222657287513292,
      0.61336810014893,
      0.6046063048463555,
      0.5959777753587716,
      0.5874800160516405,
      0.5791103347467724,
      0.5708657020092305,
      0.5627433055786719,
      0.5547405743008893,
      0.5468551174436215,
      0.5390846826744037,
      0.5314271265360873,
      0.5238803943689987,
      0.5164425060967381,
      0.5091115458124753,
      0.5018856545108938,
      0.494763024531929,
      0.4877418954577491,
      0.48082055087666864,
      0.473997316041595,
      0.46727055553571883,
      0.460638671610806,
      0.4541001027443544,
      0.44765332221759196,
      0.44129683669380915,
      0.4350291853087972,
      0.4288489385425977,
      0.42275469735943416,
      0.4167450920608264,
      0.4108187815174876,
      0.40497445224955286,
      0.3992108176387926,
      0.3935266173019757,
      0.3879206162222916,
      0.3823916038959738,
      0.37693839385306166,
      0.3715598228941421,
      0.3662547506058077,
      0.36102205852124847,
      0.355860581026753,
      0.350769101318209,
      0.3457466191249037,
      0.34079216882235475,
      0.33590481126898597,
      0.33108360531368897,
      0.32632760837397934,
      0.3216360951266544,
      0.3170087767257285,
      0.3124454183367171,
      0.30794561191945896,
      0.3035087726025167,
      0.2991342020846901,
      0.29482113088422285,
      0.29056874694887713,
      0.28637621474076946,
      0.28224268858292306,
      0.2781674103608789,
      0.27414967043737426,
      0.2701887167020267,
      0.26628377329057207,
      0.2624340533993098,
      0.25863905069764154,
      0.2548984086369681,
      0.25121162032736605,
      0.24757808275215065,
      0.24399713255508335,
      0.24046806983737873,
      0.23699017436759612,
      0.23356271623786684,
      0.23018496308163763,
      0.22685618502620458,
      0.22357565753953426,
      0.22034266379983167,
      0.2171564956044936,
      0.21401638497979622,
      0.21092153668376556,
      0.20787120424749073,
      0.20486467764103033,
      0.20190127458796578,
      0.1989803348408294,
      0.1961012162768888,
      0.19326329210026705,
      0.19046594889952317,
      0.18770858526104656,
      0.18499061080679371,
      0.18231144570416039,
      0.17967051987081753,
      0.1770672727753751,
      0.17450115291782484,
      0.17197161758630683,
      0.1694781326795413,
      0.16702017254449003,
      0.1645972197908142,
      0.1622087649733282,
      0.1598543065749602,
      0.15753335089559892,
      0.15524541175179704,
      0.15299001039377286,
      0.15076667540377275,
      0.14857494258319953,
      0.14641435496093458,
      0.14428446226254377,
      0.14218482114223333,
      0.1401149949447166,
      0.13807455366450871,
      0.13606307372077922,
      0.13408013764348511,
      0.13212531830906907,
      0.13019818782784132,
      0.1282983329452787,
      0.12642535195177496,
      0.12457885274684367,
      0.12275845145108898,
      0.12096377148416079,
      0.11919444303600725,
      0.11745010254082672,
      0.11573039219055285,
      0.11403495977863304,
      0.11236345847914408,
      0.110715546834248,
      0.10909088843478226,
      0.10748915187795949,
      0.10591001068458077,
      0.10435314310470399,
      0.10281823218124415,
      0.10130496554925887,
      0.0998130354989055,
      0.09834213873572521,
      0.09689197639785299,
      0.09546225390961438,
      0.0940526811238837,
      0.09266297194463397,
      0.09129284444723955,
      0.08994202084741983,
      0.08861022736397697,
      0.0872971942541475,
      0.0860026555960318,
      0.08472634927496582,
      0.0834680169963343,
      0.08222740416199248,
      0.08100425988710731,
      0.07979833686786891,
      0.07860939139872614,
      0.07743718330703464,
      0.07628147574746662,
      0.07514203530452414,
      0.07401863187469222,
      0.07291103879611734,
      0.07181903264722435,
      0.07074239309517691,
      0.06968090303872365,
      0.06863434841567718,
      0.0676025182797464,
      0.06658520461461975,
      0.06558220238171449,
      0.06459330958822383,
      0.06361832709298718,
      0.06265705854356968,
      0.06170931035872294,
      0.060774891790858696,
      0.05985361480206536,
      0.0589452940581448,
      0.05804974681820828,
      0.05716679291974764,
      0.05629625477981745,
      0.05543795732934375,
      0.054591727975897314,
      0.05375739661101897,
      0.05293479561363354,
      0.052123759602242054,
      0.051324125523309706,
      0.05053573278301744,
      0.04975842305135734,
      0.048992040262483605,
      0.04823643035628647,
      0.047491441650917544,
      0.04675692460425668,
      0.046032731720115114,
      0.04531871756075359,
      0.0446147388883229,
      0.043920654426309845,
      0.04323632485128534,
      0.04256161279839463,
      0.04189638289330164,
      0.041240501702780784,
      0.04059383766094128,
      0.03995626102476507,
      0.039327643928758774,
      0.038707860179782005,
      0.03809678556076543,
      0.03749429764253687,
      0.03690027556451091,
      0.036314600215683224,
      0.03573715415196102,
      0.035167821685394306,
      0.03460648861421027,
      0.034053042477230865,
      0.03350737232177401,
      0.03296936876710252,
      0.03243892400035856,
      0.03191593176281158,
      0.031400287151438715,
      0.030891886867747537,
      0.030390629154585926,
      0.02989641353537988,
      0.02940914102928026,
      0.028928713920245746,
      0.02845503601136739,
      0.027988012414142126,
      0.027527549521203447,
      0.027073555187509746,
      0.026625938484408043,
      0.026184609789438446,
      0.025749480607666807,
      0.025320463880802876,
      0.024897473716395467,
      0.02448042544651379,
      0.024069235442586993,
      0.023663821367231514,
      0.023264102023577697,
      0.02286999740025702,
      0.022481428548923446,
      0.022098317771540588,
      0.021720588373380253,
      0.02134816476034817,
      0.020980972268618465,
      0.02061893749573501,
      0.02026198786517601,
      0.019910051978373713,
      0.019563059264817422,
      0.019220940367494853,
      0.018883626845703015,
      0.0185510510785841,
      0.018223146560063685,
      0.017899847682789644,
      0.017581089652798376,
      0.017266808674516992,
      0.016956941828149982,
      0.01665142717278216,
      0.01635020355455468,
      0.016053210659515364,
      0.015760389114705665,
      0.015471680267732558,
      0.015187026370550376,
      0.014906370461180443,
      0.014629656388556341,
      0.014356828725815993,
      0.014087832902940231,
      0.013822616429952781,
      0.013561129404190275,
      0.013303321858757614,
      0.013049143726242237,
      0.012798545011073496,
      0.012551476089668093,
      0.012307887802036259,
      0.012067731468893773,
      0.01183095894244703,
      0.011597522633747226,
      0.011367375682455454,
      0.011140471861838084,
      0.01091676551215956,
      0.010696211539482733,
      0.01047876561431636,
      0.010264383882940417,
      0.010053023215440472,
      0.009844640985483996,
      0.009639195259365874,
      0.009436644669659221,
      0.009236948488323878,
      0.009040066358647403,
      0.008845958594991,
      0.008654586147975053,
      0.008465910508440175,
      0.008279893639018323,
      0.008096498104920838,
      0.007915686831476832,
      0.007737423480337882,
      0.0075616721859605735,
      0.007388397554912179,
      0.007217564666809893,
      0.007049139147328632,
      0.006883087020473746,
      0.00671937477889689,
      0.006557969500428605,
      0.006398838674308032,
      0.006241950309031648,
      0.006087272724026032,
      0.005934774749928694,
      0.005784425618690919,
      0.005636195161113958,
      0.005490053484734636,
      0.005345971219197525,
      0.005203919375431143,
      0.005063869301959152,
      0.004925792782261664,
      0.004789661936695558,
      0.004655449272402585,
      0.00452312782954838,
      0.004392671024616041,
      0.004264052539740852,
      0.004137246524942377,
      0.004012227375506134,
      0.0038889699180059615,
      0.003767449285773216,
      0.00364764108861372,
      0.0035295212153071904,
      0.003413065783428855,
      0.0032982513636233505,
      0.003185054875092764,
      0.0030734534564717483,
      0.0029634246309531557,
      0.0028549462814760566,
      0.0027479966020083927,
      0.0026425540947127664,
      0.0025385974410338324,
      0.0024361056789099647,
      0.0023350580948112414,
      0.002235434409799306,
      0.0021372145407148723,
      0.002040378775941225,
      0.0019449075516768286,
      0.0018507815723269698,
      0.0017579819764522808,
      0.0016664900082672604,
      0.0015762873067160415,
      0.0014873557186857915,
      0.0013996772724749462,
      0.0013132343869464386,
      0.0012280096563765295,
      0.0011439858264814132,
      0.0010611460385866714,
      0.0009794735087996478,
      0.0008989517993397815,
      0.000819564728654084,
      0.0007412963267332953,
      0.0006641309316356415,
      0.000588052873559598,
      0.0005130468585835835,
      0.0004390977748857921,
      0.0003661908181817578,
      0.0002943112107210909,
      0.00022344446775651687,
      0.00015357635352713947,
      8.469265971732262e-05,
      1.6779582476494402e-05,
      -5.0176535469967766e-05,
      -0.00011618916927077031,
      -0.00018127159497802967,
      -0.00024543691619178837,
      -0.0003086980009474062,
      -0.00037106759591798487
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566946212423444,
      10.337382312206286,
      10.100297787808698,
      9.858631585575699,
      9.614782248026488,
      9.37083247031908,
      9.128583386356722,
      8.889517668696532,
      8.654820633943592,
      8.425394027630238,
      8.201857681063823,
      7.984565313184665,
      7.773631536613037,
      7.568968033667055,
      7.370323510791796,
      7.177322320922365,
      6.989498568474586,
      6.806335777711607,
      6.627304376816832,
      6.451885926445908,
      6.279584270933584,
      6.109946928897412,
      5.942581974021326,
      5.777161471351776,
      5.613428813891403,
      5.451203956695892,
      5.290381219973575,
      5.130933684350538,
      4.9729071306790384,
      4.816415824142976,
      4.661631677138735,
      4.508790178350024,
      4.358177507445556,
      4.210123990777379,
      4.065018005603852,
      3.923272394905905,
      3.7852931251306154,
      3.6514661221128577,
      3.5221461699269563,
      3.39764863809338,
      3.278242590313443,
      3.164142474752375,
      3.055505327107877,
      2.952430617319556,
      2.8549528789802663,
      2.7630432675765624,
      2.676609165967308,
      2.595510658271564,
      2.519563338514106,
      2.4485359439498735,
      2.3821843180368942,
      2.320236856143836,
      2.262389133960785,
      2.2083188248957994,
      2.1576587337703557,
      2.1100194269627264,
      2.065045405480966,
      2.0224039345135463,
      1.981786804188314,
      1.9429256350515554,
      1.905604706294945,
      1.869655241577831,
      1.8349415475914213,
      1.8013469594008977,
      1.7687727266520448,
      1.7371398782632108,
      1.7063839296685235,
      1.6764510845795082,
      1.64729552007898,
      1.6188774424217935,
      1.5911601733937943,
      1.564108751353914,
      1.5376921829516361,
      1.5118829031224736,
      1.4866560090819756,
      1.4619887145524453,
      1.4378599554393134,
      1.4142501038773228,
      1.3911407574440375,
      1.368514800460222,
      1.3463569898150343,
      1.3246533816939339,
      1.3033904965820415,
      1.2825550857416421,
      1.2621342324835483,
      1.2421154125637701,
      1.2224865256383306,
      1.20323591131944,
      1.1843523507453027,
      1.165825060760398,
      1.147643684222538,
      1.1297984128884166,
      1.1122806599597261,
      1.0950824604365836,
      1.078196261609136,
      1.06161555280721,
      1.0453344988050326,
      1.0293467580306972,
      1.0136456963350962,
      0.9982245672928229,
      0.9830766302006138,
      0.96819522741227,
      0.953574138307803,
      0.9392088072122332,
      0.9250948889076368,
      0.9112275482126435,
      0.8976016869604747,
      0.884212092522273,
      0.8710535356575979,
      0.8581208336029552,
      0.8454088897152793,
      0.8329127182949411,
      0.8206274587532157,
      0.8085483833157416,
      0.7966708996366099,
      0.7849905507508698,
      0.773503013765786,
      0.7622040964957321,
      0.7510897339338712,
      0.7401559841347286,
      0.7293990238381565,
      0.7188151446467905,
      0.7084007481227759,
      0.6981523418280126,
      0.688066535456309,
      0.6781400367641539,
      0.6683696477645295,
      0.6587522611400293,
      0.6492848433243823,
      0.6399643896162812,
      0.6307879808702921,
      0.6217527995496727,
      0.6128561187832865,
      0.6040952945143321,
      0.595467759245203,
      0.5869710171073066,
      0.5786024173092282,
      0.5703589343994205,
      0.5622377406019959,
      0.5542362543613378,
      0.5463520775303985,
      0.5385829524276071,
      0.5309267321353106,
      0.5233813596909508,
      0.5159448530449746,
      0.5086152949395698,
      0.5013908251456316,
      0.4942696353041023,
      0.487249964203179,
      0.4803300949156212,
      0.4735083522716095,
      0.4667831003391735,
      0.4601527409333098,
      0.4536157121410236,
      0.4471704866126646,
      0.44081557079434674,
      0.4345495034280256,
      0.4283708547218361,
      0.4222782252554894,
      0.4162702448532368,
      0.41034557191100923,
      0.4045028926740982,
      0.3987409201899144,
      0.3930583935742387,
      0.38745407728936065,
      0.3819267606665912,
      0.3764752568626687,
      0.37109840242259085,
      0.3657950564339211,
      0.36056410006390627,
      0.3554043763080865,
      0.35031473606649083,
      0.3452941725362622,
      0.3403417060515805,
      0.33545638174057957,
      0.33063724327905114,
      0.3258833377969177,
      0.3211940526187784,
      0.31656912679664395,
      0.31200829378715467,
      0.30751109875385285,
      0.3030769253689374,
      0.29870505381296925,
      0.29439470027061865,
      0.2901450429277312,
      0.2859552397325654,
      0.28182444957319425,
      0.27775192410273614,
      0.2737369440975401,
      0.2697787509553574,
      0.26587656453265307,
      0.26202961075392683,
      0.2582374033587237,
      0.25449957130705264,
      0.2508155980239178,
      0.2471848738147101,
      0.24360673082403134,
      0.2400804661393194,
      0.23660535740218316,
      0.23318067325103117,
      0.22980568042969654,
      0.22647964834013168,
      0.22320185208855423,
      0.21997157446992655,
      0.21678810260173056,
      0.21365066117379214,
      0.21055845877022686,
      0.20751075162986293,
      0.20450683146246243,
      0.20154601730307006,
      0.1986276496762943,
      0.1957510870244218,
      0.19291570280884313,
      0.1901208838472014,
      0.18736602887541945,
      0.18465054772498293,
      0.18197386057795165,
      0.17933539733612586,
      0.1767345973953596,
      0.17417090930266618,
      0.17164379044202924,
      0.1691527067038574,
      0.1666971325128243,
      0.16427655034212504,
      0.16189045079586775,
      0.15953833239395798,
      0.1572197013713143,
      0.15493407152924385,
      0.1526809641514658,
      0.15045990794049768,
      0.14827043865595685,
      0.146112099294196,
      0.14398443960752066,
      0.14188701627206685,
      0.13981939269351243,
      0.1377811387753548,
      0.1357718310174834,
      0.13379105227135107,
      0.13183839162237265,
      0.12991344429701351,
      0.12801581169679216,
      0.12614508730032611,
      0.12430086187357542,
      0.1224827396480738,
      0.12069033625654883,
      0.11892327651983896,
      0.11718119328906869,
      0.11546372649326626,
      0.11377052245885114,
      0.1121012333772378,
      0.11045551706565135,
      0.10883303666348515,
      0.10723346055634406,
      0.10565646218378862,
      0.10410171981909636,
      0.1025689163908742,
      0.10105773956785025,
      0.09956788171984884,
      0.09809903959565405,
      0.09665091438428842,
      0.09522321169617502,
      0.09381564131128912,
      0.09242791729125335,
      0.09105975793441792,
      0.08971088545299187,
      0.08838102629995577,
      0.08706991071513409,
      0.08577727290822762,
      0.08450285083891788,
      0.08324638625822543,
      0.08200762476627867,
      0.08078631554987287,
      0.07958221139027964,
      0.07839506863927806,
      0.07722464719843797,
      0.0760707103423863,
      0.07493302480876386,
      0.07381136060460755,
      0.07270549107263335,
      0.07161519288706111,
      0.0705402459627412,
      0.06948043313433871,
      0.06843554053632443,
      0.06740535731423719,
      0.06638967557927886,
      0.06538829037366466,
      0.06440099977708062,
      0.0634276047254455,
      0.06246790907239271,
      0.06152171926679111,
      0.06058884469234694,
      0.05966909741020434,
      0.058762292131233206,
      0.05786824624546293,
      0.05698677968996297,
      0.056117715039574106,
      0.05526087724755557,
      0.0544160938439425,
      0.053583194818939105,
      0.052762012576016634,
      0.05195238193548961,
      0.051154140042115416,
      0.05036712628782833,
      0.04959118232869961,
      0.04882615221875906,
      0.0480718821552959,
      0.04732822049294004,
      0.046595017778637254,
      0.04587212659779277,
      0.045159401615812514,
      0.04445669961468121,
      0.04376387954423401,
      0.04308080213903045,
      0.04240733010878412,
      0.04174332817379348,
      0.0410886630253248,
      0.04044320318539291,
      0.03980681903588208,
      0.03917938276551793,
      0.03856076846386516,
      0.03795085188220632,
      0.03734951054739098,
      0.03675662372677886,
      0.03617207239033617,
      0.035595739217191606,
      0.03502750860592782,
      0.034467266465362745,
      0.03391490031341117,
      0.033370299429958,
      0.03283335448189518,
      0.03230395771356704,
      0.03178200296820463,
      0.03126738555657161,
      0.030760002233085677,
      0.030259751212317346,
      0.02976653212775036,
      0.029280246059469713,
      0.028800795484863244,
      0.028328084272768148,
      0.02786201760670792,
      0.027402502027881116,
      0.026949445368699233,
      0.026502756691306428,
      0.026062346447401775,
      0.02562812643327087,
      0.02520000957208309,
      0.024777910088459806,
      0.024361743382841663,
      0.023951426012331578,
      0.023546875580215683,
      0.023148011018142105,
      0.022754752395732474,
      0.022367020875104362,
      0.021984738739343434,
      0.021607829412707225,
      0.021236217332519913,
      0.020869827958642034,
      0.020508587869830522,
      0.02015242465396866,
      0.019801266974589418,
      0.01945504444403164,
      0.019113687742185977,
      0.018777128332142318,
      0.01844529885976304,
      0.018118132845217898,
      0.01779556466409739,
      0.0174775297484485,
      0.017163964409984675,
      0.016854805686052438,
      0.01654999169719947,
      0.016249461334391865,
      0.01595315440157448,
      0.015661011538511495,
      0.015372974299842444,
      0.015088984855941588,
      0.014808986326169277,
      0.014532922581157737,
      0.014260738353696085,
      0.013992379098202402,
      0.013727791768933658,
      0.013466926368132015,
      0.013209733370531024,
      0.01295616288061635,
      0.01270616518791552,
      0.01245969078154408,
      0.012216690544362026,
      0.01197711587171912,
      0.01174091862087636,
      0.011508051475744305,
      0.01127846755110716,
      0.011052120654125046,
      0.010828965178693705,
      0.01060895613013779,
      0.010392049090920714,
      0.010178200432962041,
      0.009967367044546479,
      0.009759506422159371,
      0.009554576637293342,
      0.009352536343530617,
      0.009153344830858922,
      0.00895696192302087,
      0.008763347972587368,
      0.00857246401716842,
      0.008384271486471966,
      0.008198732362767445,
      0.008015809292451765,
      0.007835465401311005,
      0.007657664347059935,
      0.007482370310337719,
      0.007309547841291999,
      0.007139162121389055,
      0.006971178731282817,
      0.006805563871832679,
      0.006642284161728178,
      0.006481306709958939,
      0.006322598929371225,
      0.006166128822322683,
      0.006011864957098368,
      0.005859776153337206,
      0.0057098317097070625,
      0.005562001391617213,
      0.005416255516097159,
      0.005272564650632841,
      0.005130899803146528,
      0.004991232365606963,
      0.004853534134942358,
      0.0047177774062158884,
      0.0045839347682736726,
      0.0044519792697853226,
      0.0043218843643186115,
      0.00419362379350717,
      0.004067171592013441,
      0.003942502310016877,
      0.003819590798905505,
      0.003698412182459291,
      0.003578942051864886,
      0.0034611564461130176,
      0.0033450317072249943,
      0.0032305442855723194,
      0.0031176710544529636,
      0.0030063893403036094,
      0.00289667660459763,
      0.002788510762860452,
      0.002681869944783969,
      0.0025767327645869103,
      0.002473077950989044,
      0.0023708846518688594,
      0.0022701322312677144,
      0.0021708003412923764,
      0.00207286900756371,
      0.0019763184361412498,
      0.0018811292033055545,
      0.0017872820389915538,
      0.0016947581204203208,
      0.0016035387435993282,
      0.0015136054980314946,
      0.001424940289863084,
      0.0013375251816685326,
      0.0012513426147949273,
      0.0011663752067608375,
      0.001082605759364906,
      0.0010000173629286426,
      0.0009185934381825556,
      0.0008383175628273643,
      0.0007591735534465941,
      0.0006811454910799437,
      0.0006042175377703003,
      0.000528374173530006,
      0.0004536001606315421,
      0.0003798803694231768,
      0.00030720007522459585,
      0.00023554452498784006,
      0.0001648993121876159,
      9.52501610736615e-05,
      2.658302967328069e-05,
      -4.111590703137231e-05,
      -0.00010786043893956479,
      -0.0001736639293295888,
      -0.0002385396219125706,
      -0.00030250057833421047,
      -0.00036555975488829765,
      -0.0004277298752393843
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566942766581972,
      10.337365308723166,
      10.10025881216671,
      9.858564840794859,
      9.614683677151426,
      9.370699016041126,
      9.128413171905159,
      8.889310192507496,
      8.654575960295281,
      8.42511255908299,
      8.201539991136316,
      7.984212015127945,
      7.773243190804819,
      7.568545084692186,
      7.369866257595036,
      7.1768308686527105,
      6.9889727249960005,
      6.805775282543547,
      6.626708992445263,
      6.451255543888366,
      6.27891906136025,
      6.1092473029519905,
      5.9418485309711295,
      5.776395091937358,
      5.612630679535125,
      5.450375582540064,
      5.289524498627324,
      5.1300509458816554,
      4.972001136953887,
      4.815489564275894,
      4.660688476260847,
      4.507833779834393,
      4.35721212450828,
      4.20915445118483,
      4.0640498659249475,
      3.922311108483106,
      3.784343930618788,
      3.6505339510244004,
      3.521235561338872,
      3.396763807633064,
      3.2773872650116966,
      3.1633197766449004,
      3.054717758910873,
      2.951679929531947,
      2.854239998209248,
      2.7623681010976044,
      2.675970907310685,
      2.594908013549704,
      2.51899411929964,
      2.4479976303799127,
      2.3816742738894767,
      2.319752220964818,
      2.261926863746479,
      2.2078755574615596,
      2.1572307505491284,
      2.109603238544896,
      2.0646378095361655,
      2.0220019793157737,
      1.9813879219481052,
      1.9425278254616272,
      1.9052065007560208,
      1.869255561840805,
      1.8345395472316344,
      1.8009418811067257,
      1.7683640299310868,
      1.7367272058590673,
      1.7059670554722839,
      1.6760298757887595,
      1.6468699102862092,
      1.6184474121300452,
      1.5907257607826875,
      1.5636700208882939,
      1.537249205561975,
      1.5114357545784298,
      1.4862047685050659,
      1.4615334625084844,
      1.4374007736439827,
      1.4137870739192335,
      1.390673960150519,
      1.3680443265840458,
      1.3458829597631166,
      1.324175927416777,
      1.3029097315020624,
      1.2820711097482849,
      1.261647136737891,
      1.2416252812119728,
      1.2219934378404187,
      1.202739942269018,
      1.1838535725943746,
      1.165323543397309,
      1.1471394957495518,
      1.1292916347516064,
      1.1117713941797602,
      1.09457080950519,
      1.0776823552494632,
      1.0610996558105865,
      1.0448168491714311,
      1.0288275339892607,
      1.0131250350970895,
      0.9977025779886942,
      0.9825534029510432,
      0.9676708390545495,
      0.9530487886558482,
      0.938682875925937,
      0.9245686408171855,
      0.9107011715144017,
      0.8970753181502201,
      0.8836858335286045,
      0.870527464784972,
      0.8575950132568729,
      0.8448833714845044,
      0.8323875464692165,
      0.8201026728952969,
      0.8080240193844118,
      0.7961469909864612,
      0.7844671292145966,
      0.7729801099563925,
      0.7616817403480578,
      0.7505679546725067,
      0.7396348103298801,
      0.7288784836262002,
      0.7182952656584598,
      0.7078815576528754,
      0.6976338668920176,
      0.687548802708343,
      0.6776230724790214,
      0.6678534779620907,
      0.6582369114695362,
      0.6487703380731296,
      0.6394507516959328,
      0.6302752335715257,
      0.6212409662784306,
      0.6123452228900785,
      0.6035853591912224,
      0.5949588075920396,
      0.5864630720877286,
      0.5780955433193556,
      0.569853199482104,
      0.5617331975569064,
      0.5537329451960307,
      0.5458500369543061,
      0.538082210017207,
      0.5304273141198604,
      0.5228832894481708,
      0.5154481523698142,
      0.5081199843080563,
      0.5008969239691787,
      0.4937771621223246,
      0.48675893694454225,
      0.4798405308190827,
      0.47302026805472314,
      0.46629651218051404,
      0.4596676647021565,
      0.45313216328987793,
      0.4466884803177005,
      0.4403351216826392,
      0.4340706256029643,
      0.4278935618586467,
      0.421802530614044,
      0.4157961613863291,
      0.40987311239289903,
      0.40403206936588415,
      0.39827174498240686,
      0.3925908780997824,
      0.38698823287618633,
      0.38146259808459493,
      0.3760127866230465,
      0.37063763474215494,
      0.36533600101643277,
      0.36010676623234716,
      0.3549488012776147,
      0.34986101881958687,
      0.3448423852339731,
      0.33989190835529426,
      0.33500861603577603,
      0.3301915389333955,
      0.3254397416237042,
      0.32075271191186566,
      0.31613020157556304,
      0.3115719030101506,
      0.3070773191712885,
      0.30264580506915884,
      0.2982766217424347,
      0.2939689723593728,
      0.2897220264727579,
      0.2855349360413621,
      0.28140686496154355,
      0.27733707473823777,
      0.27332483673256686,
      0.26936938610852074,
      0.265469938458595,
      0.26162573250089827,
      0.25783630200819324,
      0.25410126141164785,
      0.25042008447620806,
      0.2467921549809619,
      0.24321680049361732,
      0.2396933151369823,
      0.23622097449988855,
      0.23279904579035612,
      0.22942679478417688,
      0.2261034901941111,
      0.22282840669874732,
      0.21960082675822906,
      0.2164200324257193,
      0.2132852414579434,
      0.2101956663623944,
      0.2071505660563315,
      0.20414923408752733,
      0.20119099053234285,
      0.19827517681146345,
      0.19540115184014956,
      0.19256828955000743,
      0.18977597690846376,
      0.1870236128748569,
      0.18431060734834173,
      0.181636380523681,
      0.17900036241226902,
      0.17640199237390305,
      0.1738407190017864,
      0.1713159996742343,
      0.16882730033755555,
      0.1663740952273826,
      0.16395586691011932,
      0.16157210602081254,
      0.15922231107280696,
      0.15690598826277474,
      0.15462265141650466,
      0.1523718218596885,
      0.15015302818208706,
      0.1479658061864727,
      0.14580969882593836,
      0.1436842559767423,
      0.14158903431348238,
      0.13952359722251484,
      0.13748751474752186,
      0.13548036336996122,
      0.1335017258465177,
      0.1315511913450514,
      0.12962835516690394,
      0.12773281866621025,
      0.1258641891490993,
      0.12402207974021497,
      0.12220610941346233,
      0.12041589380089175,
      0.11865104198318968,
      0.11691117405627646,
      0.11519592135389374,
      0.11350492447401989,
      0.11183783192897052,
      0.11019429904551933,
      0.10857398735882182,
      0.10697656416082679,
      0.10540170211905509,
      0.10384907906585236,
      0.10231837767161939,
      0.100809285636667,
      0.09932149514932422,
      0.0978547029507417,
      0.0964086102117269,
      0.09498292258977609,
      0.0935773500914881,
      0.09219160684208573,
      0.09082541108509647,
      0.08947848525965266,
      0.08815055578717096,
      0.08684135296096433,
      0.08555061109110586,
      0.08427806817636817,
      0.08302346620022333,
      0.08178655081390498,
      0.08056707131580197,
      0.07936478070083376,
      0.07817943540822349,
      0.07701079541868908,
      0.07585862406496946,
      0.07472268816659329,
      0.07360275784255536,
      0.07249860670555877,
      0.071410011435442,
      0.0703367518600899,
      0.06927861104425687,
      0.06823537517441328,
      0.06720683349272859,
      0.06619277829627418,
      0.06519300483322507,
      0.06420731116814152,
      0.06323549842078265,
      0.062277370420524746,
      0.0613327338008409,
      0.06040139796408091,
      0.0594831751261826,
      0.05857788008905908,
      0.0576853302990565,
      0.05680534584228171,
      0.055937749332062074,
      0.05508236585659014,
      0.0542390230949697,
      0.053407551223449666,
      0.05258778264345276,
      0.05177955228061975,
      0.050982697372093724,
      0.05019705739590872,
      0.04942247417415502,
      0.04865879181976333,
      0.04790585657404772,
      0.047163516875074654,
      0.046431623303985384,
      0.04571002868231114,
      0.044998587837821055,
      0.04429715765125924,
      0.043605597018592276,
      0.0429237668149078,
      0.0422515298559183,
      0.04158875095291298,
      0.04093529684484144,
      0.040291036103003226,
      0.03965583921408185,
      0.03902957861361262,
      0.03841212837045862,
      0.03780336440574142,
      0.037203164292423985,
      0.03661140740797143,
      0.03602797484590042,
      0.03545274944855796,
      0.03488561561408799,
      0.03432645936417855,
      0.03377516840187847,
      0.03323163194385772,
      0.032695740787565326,
      0.03216738729833142,
      0.03164646536460141,
      0.031132870330330128,
      0.030626499155676463,
      0.030127250141611137,
      0.029635023054557334,
      0.02914971889684636,
      0.028671240251425013,
      0.02819949107933919,
      0.02773437671978002,
      0.02727580374872634,
      0.026823680173883285,
      0.026377915233733583,
      0.025938419360837763,
      0.025505104321429637,
      0.02507788305446881,
      0.024656669916689845,
      0.0242413803408985,
      0.023831931001419965,
      0.023428239780528985,
      0.023030225644400198,
      0.022637808669356326,
      0.022250910072734123,
      0.02186945230499622,
      0.021493358777997566,
      0.021122554086981347,
      0.020756963721302944,
      0.02039651436454531,
      0.020041133664519588,
      0.019690750382423978,
      0.01934529416486009,
      0.019004695764256306,
      0.018668886742230675,
      0.018337799748651233,
      0.01801136837839781,
      0.0176895271467533,
      0.01737221142986294,
      0.017059357637725436,
      0.016750903124102493,
      0.01644678595996161,
      0.016146945085342212,
      0.01585132032429292,
      0.01555985240999099,
      0.015272482873004421,
      0.014989154111337845,
      0.014709809209051185,
      0.014434392126574592,
      0.014162847684561584,
      0.013895121474811154,
      0.013631160015626646,
      0.013370912953073582,
      0.013114331127016023,
      0.01286136488352816,
      0.012611964580165653,
      0.012366080957245274,
      0.012123664982817797,
      0.011884668264852592,
      0.011649042861086732,
      0.011416741352002957,
      0.01118771693462303,
      0.010961923525266513,
      0.010739315406935485,
      0.010519847800738023,
      0.010303476391003,
      0.010090157501564435,
      0.009879848166014862,
      0.009672505857284994,
      0.009468088772547489,
      0.009266555637475865,
      0.009067865728628666,
      0.008871978879165016,
      0.008678855639161506,
      0.008488457025633578,
      0.008300744503001185,
      0.008115680207238664,
      0.00793322674635346,
      0.00775334726368233,
      0.007576005452222809,
      0.0074011655393588106,
      0.007228792273832293,
      0.007058850838069096,
      0.006891306966249506,
      0.00672612680978547,
      0.006563276976098285,
      0.006402724582057448,
      0.006244437233251674,
      0.006088382966619105,
      0.005934530296901359,
      0.0057828480993366805,
      0.005633305761106806,
      0.005485873086628049,
      0.005340520331626511,
      0.005197218194573885,
      0.005055937765423275,
      0.004916650443770568,
      0.004779328157417831,
      0.004643943201349566,
      0.0045104681862590985,
      0.004378876128137084,
      0.004249140514143168,
      0.004121235185934294,
      0.003995134255881329,
      0.0038708123427481423,
      0.003748244363853841,
      0.0036274055766046024,
      0.0035082715321648247,
      0.003390818202235024,
      0.0032750218147074585,
      0.003160859033934222,
      0.0030483067736043028,
      0.0029373422652155074,
      0.0028279431535802885,
      0.0027200874656571894,
      0.002613753422707232,
      0.002508919532820561,
      0.002405564678544281,
      0.002303667862070264,
      0.0022032085618343598,
      0.0021041664929200474,
      0.0020065216418688157,
      0.0019102543089861298,
      0.00181534510101396,
      0.0017217748677664806,
      0.0016295245950192884,
      0.001538575775264055,
      0.001448910010538825,
      0.0013605091693018282,
      0.0012733554742189173,
      0.001187431349614725,
      0.0011027194098826635,
      0.0010192025055845437,
      0.0009368637962286201,
      0.000855686709505025,
      0.0007756548379705042,
      0.0006967520529102704,
      0.0006189623455118327,
      0.0005422700313049027,
      0.00046665956106071126,
      0.0003921158354348213,
      0.0003186237764738164,
      0.0002461684911663046,
      0.00017473534669326462,
      0.0001043099316555182,
      3.487817175034257e-05,
      -3.357405662270029e-05,
      -0.00010106066990596325,
      -0.00016759520949702372,
      -0.0002331910730495048,
      -0.00029786163058364234,
      -0.0003616198826105803,
      -0.00042447865121335543,
      -0.00048645064927088763
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566939333456158,
      10.337348367566607,
      10.100219978666217,
      9.85849833653789,
      9.614585447743643,
      9.370565999852241,
      9.128243486943042,
      8.889103333698836,
      8.654331988390666,
      8.424831875027303,
      8.201223165063826,
      7.983859658039585,
      7.772855859913202,
      7.568123222060021,
      7.369410160793801,
      7.176340616398946,
      6.988448106392473,
      6.805216042961371,
      6.626114900438635,
      6.450626495005439,
      6.2782552307227455,
      6.108549106715812,
      5.941116572218925,
      5.775630253522935,
      5.611834146424019,
      5.449548872670831,
      5.288669505889695,
      5.129169999011093,
      4.971096996472723,
      4.814565215202361,
      4.659747237042314,
      4.506879386537414,
      4.3562487806528605,
      4.20818697266069,
      4.0630837991646445,
      3.9213518957944613,
      3.7833967990898913,
      3.649603819577271,
      3.520326957225795,
      3.3958809356153177,
      3.276533842117923,
      3.1624989154777015,
      3.053931953730135,
      2.9509309236463146,
      2.8535287143896064,
      2.7616944489516673,
      2.675334086550245,
      2.5943067362290155,
      2.5184262025524036,
      2.4474605607166713,
      2.381165420704934,
      2.3192687293768706,
      2.2614656953661583,
      2.2074333572928135,
      2.1568038087309866,
      2.109188073442749,
      2.0642312250630686,
      2.021601030902933,
      1.9809900487693597,
      1.9421310326099444,
      1.9048093238613573,
      1.8688569260321095,
      1.8341385862001507,
      1.8005378321977925,
      1.7679563641759648,
      1.7363155739752199,
      1.705551236529093,
      1.6756097402276628,
      1.6464453938220813,
      1.6180184967253541,
      1.590292484398016,
      1.5632324469070729,
      1.5368074048550864,
      1.5109898026590796,
      1.4857547436363412,
      1.4610794445093207,
      1.436942842985535,
      1.413325311516779,
      1.390208446373598,
      1.3675751517402546,
      1.3454102438778766,
      1.3236998017670774,
      1.302430308392066,
      1.281588488877099,
      1.261161408121484,
      1.2411365275061557,
      1.2215017372319419,
      1.2022453692390758,
      1.1833561985875014,
      1.164823437750128,
      1.1466367259122052,
      1.1287862819241687,
      1.1112635597788394,
      1.0940605955158782,
      1.077169940625651,
      1.0605853293849443,
      1.0443008234204525,
      1.0283099695957456,
      1.0126060576372948,
      0.9971822887109176,
      0.9820318862027109,
      0.9671481674867326,
      0.9525252448166347,
      0.9381588064622127,
      0.9240442888732798,
      0.9101767110982951,
      0.8965508762867415,
      0.8831615052325551,
      0.870003323936009,
      0.8570711189378888,
      0.8443597733073942,
      0.8318642873732521,
      0.8195797907971899,
      0.8075015491598018,
      0.7956249656165972,
      0.7839455803053104,
      0.772459067986885,
      0.7611612346752832,
      0.7500480139021338,
      0.7391154627495043,
      0.7283597571685508,
      0.717777187826908,
      0.7073641556380091,
      0.6971171674473019,
      0.6870328325228526,
      0.6771078578279558,
      0.667339044701174,
      0.6577232852478657,
      0.648257543289151,
      0.6389388110247692,
      0.6297641700220948,
      0.6207308029777734,
      0.6118359832922976,
      0.6030770667186844,
      0.5944514851918633,
      0.5859567421603195,
      0.5775902640152245,
      0.5693490410457053,
      0.5612302136165325,
      0.553231178312194,
      0.5453495224191267,
      0.537582978096923,
      0.5299293911290093,
      0.5223866991351696,
      0.5149529165745714,
      0.5076261233529485,
      0.50040445716531,
      0.4932861078594796,
      0.48626931305178733,
      0.4793523546379178,
      0.4725335561992458,
      0.4658112809514087,
      0.4591839298323216,
      0.45264994003902415,
      0.4462077835349002,
      0.43985596581125946,
      0.4335930248575426,
      0.4274175301671075,
      0.4213280814015692,
      0.4153233076582092,
      0.4094018666588158,
      0.403562443939998,
      0.39780375174369365,
      0.392124528552469,
      0.3865235381537172,
      0.3809995690756147,
      0.37555143376222955,
      0.3701779679987101,
      0.36487803028491916,
      0.3596505009560776,
      0.35449431209151794,
      0.34940839312066185,
      0.344391689061374,
      0.3394431965451958,
      0.33456192656210765,
      0.3297468984083031,
      0.3249972311123955,
      0.3203124946219967,
      0.31569241801655146,
      0.3111366589938435,
      0.30664468250464677,
      0.30221581794766406,
      0.2978493092168238,
      0.29354434784938854,
      0.2893000953639897,
      0.2851156984486045,
      0.28099032631470694,
      0.2769232508256474,
      0.2729137340502754,
      0.26896100496423847,
      0.26506427494033885,
      0.261222795520602,
      0.25743612061677823,
      0.2537038500838017,
      0.2500254480294822,
      0.246400291747041,
      0.24282770450902652,
      0.23930697727236444,
      0.23583738354994155,
      0.23241818918509746,
      0.2290486590132103,
      0.2257280610727079,
      0.22245566946416104,
      0.21923076644222717,
      0.21605262893435506,
      0.2129204678551967,
      0.20983349963799736,
      0.2067909858811795,
      0.20379222182094814,
      0.20083652875584848,
      0.19792324891676408,
      0.1950517417715961,
      0.19222138152227067,
      0.18943155542961979,
      0.1866816626038284,
      0.1839711130152666,
      0.1812993269006884,
      0.1786657343465971,
      0.17606977476963886,
      0.17351089677540385,
      0.1709885576581196,
      0.1685022233539767,
      0.1660513682829294,
      0.16363547486783436,
      0.16125403376725458,
      0.1589065434746565,
      0.15659251024313,
      0.15431144797370974,
      0.15206287788837983,
      0.14984632856665916,
      0.147661335855713,
      0.14550744269900717,
      0.1433841990040202,
      0.14129116147859508,
      0.13922789349308579,
      0.13719396506352152,
      0.13518895266950395,
      0.1332124392502671,
      0.13126401390802803,
      0.12934327184612063,
      0.12744981450363152,
      0.12558324926973094,
      0.12374318925496701,
      0.12192925349329857,
      0.12014106661526538,
      0.11837825878725644,
      0.11664046573140391,
      0.11492732536178972,
      0.11323846623503761,
      0.11157352240090827,
      0.10993213946918032,
      0.10831397259133838,
      0.1067186848327996,
      0.10514594601778307,
      0.10359543208763461,
      0.10206682458832925,
      0.1005598102723336,
      0.09907408087096403,
      0.09760933285821052,
      0.09616526728796335,
      0.09474158969158529,
      0.09333800996493954,
      0.09195424230879874,
      0.09059000507603886,
      0.0892450206647706,
      0.08791901560370707,
      0.08661172041650562,
      0.08532286940115313,
      0.08405220078895885,
      0.08279945658917902,
      0.08156438251404194,
      0.08034672801205897,
      0.07914624602522977,
      0.07796269318510407,
      0.07679582953181217,
      0.07564541859861901,
      0.07451122725748496,
      0.07339302577068031,
      0.07229058777207241,
      0.07120369008880773,
      0.07013211263161782,
      0.0690756386624264,
      0.06803405444389139,
      0.06700714923124845,
      0.06599471543998735,
      0.06499654844686724,
      0.06401244641455779,
      0.06304221053651235,
      0.06208564471434308,
      0.061142555760710995,
      0.0602127532688576,
      0.05929604949294189,
      0.058392259292120816,
      0.05750120026554897,
      0.056622692570203484,
      0.05575655889113317,
      0.054902624526158995,
      0.05406071713983536,
      0.05323066692436057,
      0.05241230652451044,
      0.05160547095298579,
      0.050809997546429286,
      0.05002572590799238,
      0.04925249799489692,
      0.048490157951233084,
      0.04773855207275132,
      0.0469975289646247,
      0.04626693934497905,
      0.04554663607631863,
      0.04483647402966089,
      0.044136310118917506,
      0.04344600345100067,
      0.04276541497532276,
      0.042094407709714246,
      0.04143284657670523,
      0.04078059833927201,
      0.04013753166747321,
      0.03950351720630872,
      0.03887842736149104,
      0.038262136346461965,
      0.03765452011217447,
      0.0370554564461255,
      0.03646482476313608,
      0.03588250620133641,
      0.03530838367422546,
      0.03474234174164776,
      0.034184266541245206,
      0.03363404572905436,
      0.03309156877605229,
      0.032556726613030884,
      0.0320294115580408,
      0.03150951763388845,
      0.0309969402688134,
      0.030491576374742917,
      0.02999332436460832,
      0.029502084149853017,
      0.029017756978371417,
      0.028540245411312122,
      0.028069453501984337,
      0.02760528661808007,
      0.02714765151701475,
      0.026696456172212762,
      0.026251609865032353,
      0.025813023186039345,
      0.0253806081371771,
      0.024954277711127324,
      0.02453394628882792,
      0.024119529349039583,
      0.02371094368471344,
      0.023308107249212243,
      0.022910939083210805,
      0.022519359379481393,
      0.022133289437796425,
      0.02175265167477725,
      0.02137736961284119,
      0.02100736787326828,
      0.02064257214213449,
      0.02028290913344579,
      0.019928306632971314,
      0.019578693393726306,
      0.019233999136645273,
      0.018894154701488447,
      0.018559091839460126,
      0.018228743149608234,
      0.017903042323448512,
      0.017581923974240066,
      0.017265323565300333,
      0.016953177538801996,
      0.016645423174677827,
      0.016341998758518567,
      0.01604284330138769,
      0.01574789666332894,
      0.015457099724953184,
      0.015170394079012365,
      0.014887722151671515,
      0.014609027097383015,
      0.014334252964278357,
      0.014063344595477725,
      0.013796247654673523,
      0.01353290844479529,
      0.01327327610790809,
      0.013017301796515966,
      0.012764936223932018,
      0.012516129954335913,
      0.012270833857869803,
      0.012028999038795202,
      0.011790577063473235,
      0.011555520018588141,
      0.011323780691928827,
      0.011095312323773227,
      0.010870068786808124,
      0.010648004678680722,
      0.010429075198843861,
      0.010213236095147281,
      0.010000443770268942,
      0.00979065521225035,
      0.009583828042201316,
      0.009379920494285654,
      0.009178891290087199,
      0.008980699864549834,
      0.008785306086096697,
      0.008592670436297283,
      0.008402754000972887,
      0.008215518394066382,
      0.008030925708627255,
      0.007848938775240144,
      0.007669520723492642,
      0.007492635320911007,
      0.007318246856048063,
      0.0071463200428801945,
      0.006976820143293028,
      0.006809712856104902,
      0.006644964373407622,
      0.0064825413874934935,
      0.006322411087770114,
      0.00616454108899936,
      0.006008899571554808,
      0.005855455092672235,
      0.005704176609462046,
      0.00555503356088847,
      0.005407995728371558,
      0.005263033422717306,
      0.0051201174311124005,
      0.00497921876254516,
      0.004840308928408848,
      0.004703359900757522,
      0.004568344002114401,
      0.004435233968794253,
      0.0043040028691942655,
      0.004174624131707463,
      0.004047071675650418,
      0.003921319732793349,
      0.00379734283511967,
      0.0036751159885162173,
      0.003554614460006516,
      0.0034358139416129775,
      0.003318690270299625,
      0.003203219816770486,
      0.003089379309907945,
      0.002977145719870249,
      0.0028664963968665132,
      0.0027574089759188776,
      0.0026498613398543646,
      0.002543831780467578,
      0.002439298913455448,
      0.002336241632620061,
      0.0022346390333713535,
      0.002134470635946718,
      0.0020357162287738444,
      0.0019383558208795767,
      0.0018423696270386694,
      0.0017477382954789017,
      0.0016544427044307742,
      0.0015624640019572433,
      0.0014717836652437667,
      0.0013823834089373445,
      0.0012942451005963501,
      0.001207350912202362,
      0.0011216832309946733,
      0.001037224787556928,
      0.000953958486212762,
      0.0008718675288045972,
      0.0007909353042193745,
      0.0007111454122272257,
      0.0006324818280551951,
      0.000554928744143668,
      0.00047847033617030263,
      0.00040309117187023143,
      0.0003287760167273069,
      0.00025550987593718743,
      0.0001832778974096514,
      0.00011206564435751357,
      4.1858593086746006e-05,
      -2.735745942615058e-05,
      -9.559654060323244e-05,
      -0.0001628723852147117,
      -0.00022919863589720123,
      -0.00029458860403365917,
      -0.00035905556375680605,
      -0.0004226125878138887,
      -0.0004852725159496366,
      -0.0005470479992344271
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566935914877057,
      10.337331494632286,
      10.100181300201942,
      9.858432090395631,
      9.61448753494194,
      9.370433318995357,
      9.128074172574507,
      8.88889689247396,
      8.654088489438642,
      8.424551727343786,
      8.200906947416604,
      7.983507987786789,
      7.772469299017214,
      7.567702214211699,
      7.3689550050962715,
      7.175851367372777,
      6.9879245339589255,
      6.804657898936906,
      6.6255219602801265,
      6.449998661458915,
      6.277592686631574,
      6.1078522729317175,
      5.940386056598482,
      5.774866944796422,
      5.6110392315791975,
      5.448723871418243,
      5.287816313351195,
      5.128290944964182,
      4.970194840237315,
      4.8136429375046585,
      4.6588081516190245,
      4.505927223710956,
      4.355287733226813,
      4.207221844677143,
      4.0621201256346335,
      3.9203951062936295,
      3.782452108451651,
      3.6486761345549206,
      3.5194207910245607,
      3.39500047901583,
      3.275682799593202,
      3.1616803890482013,
      3.0531484275528666,
      2.950184131925115,
      2.8528195717753926,
      2.761022864477982,
      2.674699261912962,
      2.5937073851850867,
      2.517860144811907,
      2.4469252873446123,
      2.3806583062466684,
      2.318786924648692,
      2.2610061683472344,
      2.2069927605862887,
      2.1563784398981443,
      2.1087744583712777,
      2.063826174640815,
      2.0212016079335373,
      1.9805936992201998,
      1.9417357665807795,
      1.9044136802607736,
      1.8684598322654127,
      1.8337391604395321,
      1.8001353099127426,
      1.7675502271264747,
      1.7359054795091042,
      1.7051369679681012,
      1.6751911709509342,
      1.6460224610634526,
      1.6175911825467042,
      1.5898608272708166,
      1.5627965104761417,
      1.5363672594440263,
      1.5105455227814528,
      1.485306406815246,
      1.4606271299813836,
      1.436486630593355,
      1.4128652809912636,
      1.3897446772584727,
      1.3671077361130084,
      1.3449392999742769,
      1.3232254593284525,
      1.3019526790996152,
      1.2811076714970344,
      1.2606774921368202,
      1.2406495959458814,
      1.221011867729913,
      1.2017526357110342,
      1.182860672202643,
      1.164325187552343,
      1.1461358189375899,
      1.128282798937258,
      1.110757601889003,
      1.0935522642217164,
      1.0766594148237498,
      1.0600728973620597,
      1.0437866972781158,
      1.0277943096578253,
      1.0120889887280713,
      0.9966639112864142,
      0.9815122840284894,
      0.966627412890299,
      0.9520036555959722,
      0.9376367163985717,
      0.9235219326799757,
      0.9096542563690797,
      0.8960284457350478,
      0.8826391911956512,
      0.8694811979177388,
      0.8565492386521056,
      0.8438381867772639,
      0.8313430362826562,
      0.8190589127461804,
      0.8069810786761448,
      0.7951049350451362,
      0.7834260206281466,
      0.7719400089663481,
      0.7606427054902349,
      0.7495300432618156,
      0.7385980788164194,
      0.7278429877227364,
      0.7172610602902556,
      0.7068486971127278,
      0.6966024047169052,
      0.686518791660019,
      0.6765945647055893,
      0.6668265251115884,
      0.6572115644775696,
      0.6477466453775397,
      0.6384287583643032,
      0.6292549856169044,
      0.620222509997557,
      0.6113286048471326,
      0.6025706258791282,
      0.5939460048992325,
      0.585452245077347,
      0.5770867939845137,
      0.568846672829722,
      0.560729004394286,
      0.5527311732166691,
      0.5448507579622072,
      0.5370854849744654,
      0.5294331960837148,
      0.5218918262658988,
      0.514459387714451,
      0.5071339589169174,
      0.49991367657959906,
      0.49279672965090293,
      0.4857813548261405,
      0.4788658335327939,
      0.47204848879539274,
      0.46532768327854335,
      0.4587018174944902,
      0.45216932825717143,
      0.4457286871571823,
      0.43937839944451357,
      0.4331170025604607,
      0.42694306551841193,
      0.42085518771420266,
      0.4148519979086581,
      0.40893215346135314,
      0.4030943393879858,
      0.3973372675760273,
      0.3916596761109079,
      0.3860603285382078,
      0.3805380130405581,
      0.3750915416586079,
      0.3697197497875881,
      0.3644214956218957,
      0.3591956655273686,
      0.3540412573545565,
      0.3489572005309315,
      0.34394242547434517,
      0.3389959125604527,
      0.33411665716269623,
      0.3293036680283796,
      0.3245561310255683,
      0.31987368592264787,
      0.31525603931671264,
      0.31070281210878575,
      0.30621343266699136,
      0.3017872056947039,
      0.2974233581765249,
      0.29312107042588864,
      0.2888794964833659,
      0.2846977778492154,
      0.28057509469319974,
      0.276510721853406,
      0.27250391290030623,
      0.2685538910770453,
      0.26465986382354095,
      0.2608210956119849,
      0.25703716049532743,
      0.25330764405767936,
      0.24963200072351446,
      0.2460096014128047,
      0.24243976487123514,
      0.23892177912754875,
      0.23545491570311455,
      0.23203843907155736,
      0.22867161313513004,
      0.2253537052523797,
      0.22208398914385213,
      0.2188617466114222,
      0.21568624966760225,
      0.21255670227781984,
      0.20947232485924794,
      0.20643238149540302,
      0.20343616927067829,
      0.2004830107000742,
      0.1975722487555661,
      0.19470324343919515,
      0.19187536933182023,
      0.18908801394364508,
      0.18634057644081245,
      0.18363246694799706,
      0.1809631058648363,
      0.17833192324566666,
      0.1757383585455441,
      0.17318186035119165,
      0.17066188596240311,
      0.168177901389133,
      0.16572938095040243,
      0.1633158070916925,
      0.16093667040060974,
      0.15859146947850633,
      0.15627971057858367,
      0.15400090753163198,
      0.15175458166622247,
      0.1495402615840173,
      0.14735748306321209,
      0.14520578902597842,
      0.14308472940554584,
      0.1409938609248644,
      0.13893274700904193,
      0.13690095764720722,
      0.1348980693754357,
      0.13292366507495207,
      0.13097733387863653,
      0.12905867121675849,
      0.12716727848123513,
      0.1253027630068124,
      0.12346473794308621,
      0.12165282232280837,
      0.11986664085572798,
      0.11810582372122078,
      0.11637000671517174,
      0.11465883097581736,
      0.11297194303833327,
      0.1113089944995807,
      0.10966964230366363,
      0.1080535386214027,
      0.10646033108375097,
      0.1048896778710987,
      0.10334124729096288,
      0.10181471567704173,
      0.1003097664047768,
      0.09882608896309227,
      0.09736337835977142,
      0.0959213346918346,
      0.09449966287990637,
      0.09309807239386973,
      0.09171627724872607,
      0.0903539956978766,
      0.08901095016410851,
      0.08768686711465046,
      0.08638147708431257,
      0.08509451445489062,
      0.0838257174803494,
      0.08257482826839,
      0.08134159265462684,
      0.08012576016635242,
      0.07892708385953506,
      0.07774532048945136,
      0.07658023021746256,
      0.07543157668631165,
      0.07429912690104166,
      0.07318265113158945,
      0.07208192304638973,
      0.07099671968062699,
      0.0699268210345208,
      0.06887201052229847,
      0.06783207453034994,
      0.0668068024441988,
      0.06579598666380654,
      0.06479942269416507,
      0.06381690886824276,
      0.06284824644327631,
      0.06189323950089559,
      0.06095169485444654,
      0.06002342215108665,
      0.059108233799853485,
      0.058205944862064825,
      0.057316372970930125,
      0.056439338375055624,
      0.05557466389642022,
      0.05472217483727202,
      0.053881699033398386,
      0.05305306683071885,
      0.052236110953838795,
      0.05143066643107975,
      0.050636570734980416,
      0.04985366355662624,
      0.049081787004921676,
      0.04832078534146315,
      0.04757050496798947,
      0.04683079461936795,
      0.04610150507861891,
      0.04538248928168834,
      0.044673602197734606,
      0.04397470087978284,
      0.04328564451336,
      0.042606294168337396,
      0.04193651291714502,
      0.04127616562650341,
      0.04062511933187831,
      0.03998324288556675,
      0.039350406923000576,
      0.03872648392243402,
      0.038111348172451674,
      0.037504875772156464,
      0.036906944555614475,
      0.03631743409587828,
      0.035736225687400515,
      0.03516320225211108,
      0.034598248312262506,
      0.03404125017925108,
      0.033492095796491254,
      0.032950674505673155,
      0.03241687733048552,
      0.031890596818523145,
      0.03137172702895933,
      0.0308601634846424,
      0.03035580316784669,
      0.029858544579300123,
      0.029368287691539735,
      0.028884933818736202,
      0.028408385695616097,
      0.02793854744079296,
      0.02747532447455873,
      0.027018623581771335,
      0.026568352973604537,
      0.02612442200489151,
      0.025686741303364794,
      0.02525522282687648,
      0.024829779773717323,
      0.024410326490933717,
      0.023996778705536705,
      0.023589053277328353,
      0.023187068121724722,
      0.02279074231471563,
      0.022399996234074345,
      0.022014751203118372,
      0.021634929818958842,
      0.02126045558259553,
      0.02089125321169355,
      0.020527248517484144,
      0.02016836840212201,
      0.019814540553208238,
      0.019465693739753917,
      0.019121757876384336,
      0.018782663939729265,
      0.018448343717122413,
      0.018118729908266455,
      0.017793756319677927,
      0.01747335752888328,
      0.017157469073286972,
      0.016846027375795953,
      0.01653896996640275,
      0.016236235122612044,
      0.01593776195865823,
      0.015643490415664495,
      0.015353361337867069,
      0.015067316361799126,
      0.014785297960748681,
      0.014507249569480464,
      0.014233115215645947,
      0.013962839816099746,
      0.013696368998757537,
      0.013433649220291348,
      0.01317462905065838,
      0.012919259608013278,
      0.012667491835019248,
      0.012419276491324894,
      0.012174564711125182,
      0.011933307715795314,
      0.011695457214383037,
      0.011460965481286787,
      0.011229785334421339,
      0.011001870159959584,
      0.01077717390143705,
      0.010555651069762865,
      0.010337256902019752,
      0.010121947262064319,
      0.00990967858833139,
      0.009700407977491261,
      0.00949409308585006,
      0.009290692115969496,
      0.009090164021845246,
      0.008892468144097105,
      0.008697564502193863,
      0.00850541363108758,
      0.008315976712663917,
      0.008129215417165473,
      0.007945091886233841,
      0.007763568813512796,
      0.007584609495332036,
      0.007408177712189534,
      0.007234237847387215,
      0.0070627546517914265,
      0.006893693461825871,
      0.006727020050695965,
      0.006562700704027871,
      0.0064007021957199805,
      0.006240991580975978,
      0.006083536671634106,
      0.005928305667924216,
      0.005775267154580452,
      0.0056243900538521345,
      0.0054756438399525395,
      0.005328998439448245,
      0.005184424208669093,
      0.005041891918693126,
      0.004901372691652831,
      0.004762838128971537,
      0.004626260219066,
      0.004491611252789259,
      0.004358863994632246,
      0.004227991563038166,
      0.004098967560276707,
      0.00397176582250515,
      0.003846360546093452,
      0.0037227264597835836,
      0.003600838528427125,
      0.0034806721536446298,
      0.0033622030772535293,
      0.003245407254137503,
      0.003130260955234595,
      0.0030167409224508375,
      0.0029048241945755287,
      0.0027944881634801807,
      0.002685710415384655,
      0.0025784689228801655,
      0.002472742028395611,
      0.0023685083017028086,
      0.00226574671047323,
      0.002164436493124518,
      0.0020645571855148403,
      0.0019660885531830622,
      0.0018690106011522286,
      0.001773303724297186,
      0.0016789485541453602,
      0.0015859259527467979,
      0.001494217128409597,
      0.0014038035428235536,
      0.0013146669464365575,
      0.0012267893131889657,
      0.0011401528269980189,
      0.0010547399516929222,
      0.0009705334386115092,
      0.0008875162587942008,
      0.0008056715425664297,
      0.0007249826913762081,
      0.0006454333953136607,
      0.0005670076200949182,
      0.0004896895247402824,
      0.0004134634951486919,
      0.0003383140317188087,
      0.00026422594936281263,
      0.00019118426690689524,
      0.00011917423104149995,
      4.818123309522039e-05,
      -2.1809159486473826e-05,
      -9.081106250342296e-05,
      -0.00015883845763520055,
      -0.0002259050820204947,
      -0.0002920244184251454,
      -0.0003572099964694712,
      -0.0004214749175171944,
      -0.0004848321607098284,
      -0.0005472946340103311,
      -0.0006088749193050683
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566932508606712,
      10.337314681686706,
      10.100142759666404,
      9.858366076516697,
      9.614389907379016,
      9.370300936643174,
      9.127905178926614,
      8.888690803834512,
      8.653845383101192,
      8.424272016053912,
      8.200591212580138,
      7.9831568496475676,
      7.772083323830683,
      7.567281848687474,
      7.368500549305051,
      7.1753628749269,
      6.987401776067691,
      6.804100629233487,
      6.624929955597304,
      6.449371826163804,
      6.276931204322932,
      6.1071565660641705,
      5.939656723772138,
      5.77410486648965,
      5.610245599133652,
      5.447900206554328,
      5.2869645138776455,
      5.127413342044706,
      4.969294193261855,
      4.812722224758275,
      4.657870681706462,
      4.504976721100876,
      4.354328381867911,
      4.206258438377984,
      4.061158189766058,
      3.9194400602495008,
      3.7815091554651086,
      3.6477501699786883,
      3.518516317404751,
      3.3941216772790446,
      3.274833364430765,
      3.160863412352845,
      3.0523663841125237,
      2.9494387501003336,
      2.8521117628715467,
      2.7603525398392463,
      2.6740656283169533,
      2.5931091617289828,
      2.5172951573761995,
      2.4463910314469524,
      2.3801521609360456,
      2.3183060470304366,
      2.260547532691993,
      2.206553026204893,
      2.1559539125345952,
      2.1083616713559885,
      2.063421945418474,
      2.0208030065224993,
      1.980198178673724,
      1.9413413425122836,
      1.9040188948968921,
      1.86806360939651,
      1.8333406185761467,
      1.799733689885681,
      1.767145013901578,
      1.73549633275435,
      1.7047236724404518,
      1.6747736004802385,
      1.6456005528105642,
      1.6171649185398056,
      1.5894302451258253,
      1.5623616726216278,
      1.535928235341887,
      1.510102386644275,
      1.4848592355637023,
      1.4601760016959835,
      1.436031623815399,
      1.4124064748711755,
      1.3892821503623103,
      1.3666415873340299,
      1.344469644613343,
      1.3227524248701947,
      1.3014763750860472,
      1.2806281953329972,
      1.2601949322123227,
      1.240164034260832,
      1.2205233813589682,
      1.2012612978183719,
      1.182366553266605,
      1.163828355680283,
      1.1456363405920087,
      1.1277807540088007,
      1.1102530909215274,
      1.093045388251775,
      1.0761503521838558,
      1.0595619360280668,
      1.0432740482748613,
      1.0272801326344754,
      1.011573408285107,
      0.9961470273929851,
      0.9809941801560871,
      0.9661081610089335,
      0.9514835730301141,
      0.937116136490722,
      0.9230010895854351,
      0.9091333172566297,
      0.8955075325153857,
      0.8821183953273481,
      0.8689605903542883,
      0.8560288766272973,
      0.8433181184615116,
      0.8308233032177168,
      0.8185395520477422,
      0.8064621245512741,
      0.7945864196283817,
      0.7829079744944315,
      0.7714224618309952,
      0.7601256863093843,
      0.7490135803696464,
      0.7380821999473248,
      0.7273277201730323,
      0.7167464310670649,
      0.7063347328677109,
      0.6960891318715834,
      0.6860062363674128,
      0.6760827528265136,
      0.666315482026956,
      0.6567013151689993,
      0.647237213913235,
      0.6379201669384618,
      0.6287472569591753,
      0.6197156670009797,
      0.610822670315257,
      0.6020656224172185,
      0.5934419549488535,
      0.5849491708150777,
      0.5765847394902512,
      0.5683457129105147,
      0.5602291958261204,
      0.5522325607882402,
      0.5443533781265343,
      0.5365893684238138,
      0.5289383695100107,
      0.5213983134400481,
      0.5139672104474767,
      0.5066431375502284,
      0.4994242302098227,
      0.4923086764460769,
      0.48529471223117143,
      0.4783806185174994,
      0.4715647177389926,
      0.46484537207537946,
      0.45822098167852443,
      0.4516899829160466,
      0.4452508469415435,
      0.4389020785199573,
      0.43264221483260656,
      0.4264698244963062,
      0.4203835065711671,
      0.4143818895372523,
      0.40846363019235643,
      0.40262741328839124,
      0.3968719504618898,
      0.3911959794022214,
      0.3855982632871942,
      0.3800775898780355,
      0.3746327708876809,
      0.36926264137075776,
      0.3639660592143469,
      0.3587419548833215,
      0.35358937284126285,
      0.34850720602298896,
      0.34349437548971523,
      0.33854984783634207,
      0.3336726061744308,
      0.32886165068449097,
      0.32411628110586366,
      0.31943616047708984,
      0.31482097192441405,
      0.3102702892398314,
      0.30578350907741875,
      0.3013599147477241,
      0.2969987189531554,
      0.29269909229902225,
      0.2884601820886309,
      0.2842811253408678,
      0.28016111672171773,
      0.2760994305636639,
      0.27209531237329104,
      0.2681479799883379,
      0.26425663730349686,
      0.2604205618398452,
      0.2566393477434206,
      0.2529125664432835,
      0.24923966298596656,
      0.24562000172756412,
      0.2420528970902811,
      0.23853763413622853,
      0.23507348233129555,
      0.2316597047915544,
      0.22829556443478924,
      0.22498032804046564,
      0.22171326883341935,
      0.21849366833974,
      0.2153207934776958,
      0.21219384136385142,
      0.2091120362834049,
      0.20607464504486742,
      0.20308096647736584,
      0.2001303242985666,
      0.19722206233469258,
      0.19435554105763697,
      0.19153013538858066,
      0.188745233048594,
      0.1860002333867038,
      0.18329454663104022,
      0.18062759320478264,
      0.1779988032828,
      0.17540761635941068,
      0.17285348086346067,
      0.17033585412649546,
      0.16785420205455298,
      0.16540799913955362,
      0.16299672798984985,
      0.1606198791360024,
      0.15827695092675284,
      0.15596744975085813,
      0.15369088944686818,
      0.1514467913247752,
      0.14923468408684454,
      0.14705410358437382,
      0.1449045927021423,
      0.142785701294739,
      0.140696986046879,
      0.1386380104298087,
      0.1366083445054862,
      0.13460756480723424,
      0.1326352542905491,
      0.13069100209905632,
      0.12877440359093342,
      0.12688506017407822,
      0.12502257924873764,
      0.1231865740476011,
      0.12137666356398331,
      0.11959247258054892,
      0.11783363139173761,
      0.11609977576003062,
      0.1143905468447907,
      0.11270559118020819,
      0.11104456051156643,
      0.1094071117437839,
      0.10779290678568977,
      0.10620161251906463,
      0.10463290084105437,
      0.10308644748325523,
      0.10156192038638792,
      0.10005898801257705,
      0.0985773299418597,
      0.09711663454552144,
      0.09567659751278282,
      0.0942569207728613,
      0.09285731196084988,
      0.09147748378898721,
      0.09011715369658745,
      0.08877604355498515,
      0.08745387957873997,
      0.08615039215623217,
      0.08486531561921484,
      0.08359838814651224,
      0.08234935198697252,
      0.08111795297770837,
      0.07990394065098196,
      0.07870706826813807,
      0.07752709252973784,
      0.07636377360007827,
      0.07521687526170859,
      0.07408616471107368,
      0.07297141242336187,
      0.07187239216308414,
      0.07078888090769167,
      0.06972065887511705,
      0.06866750950270058,
      0.06762921926279082,
      0.06660557769972233,
      0.06559637740428761,
      0.06460141396165339,
      0.0636204858082664,
      0.06265339423620808,
      0.06169994337287799,
      0.06075994026015101,
      0.059833194632827116,
      0.05891951896139499,
      0.05801872840969952,
      0.05713064074502401,
      0.056255076324957194,
      0.05539185805879164,
      0.054540811343502214,
      0.053701764161704066,
      0.05287454691893556,
      0.0520589925316976,
      0.051254936111419847,
      0.05046221522634737,
      0.04968066969512276,
      0.04891014158621955,
      0.048150475337288424,
      0.04740151749213301,
      0.046663116811440475,
      0.04593512420097219,
      0.04521739271174113,
      0.04450977739241796,
      0.043812135425717484,
      0.043124326006097655,
      0.042446210399840964,
      0.04177765166014026,
      0.04111851498817605,
      0.04046866738026875,
      0.03982797780712087,
      0.03919631695486191,
      0.03857355737993609,
      0.03795957350903852,
      0.03735424153792282,
      0.03675743937203831,
      0.03616904676453331,
      0.03558894509248212,
      0.03501701736509201,
      0.03445314826684471,
      0.033897224143360945,
      0.03334913288254643,
      0.032808763995535555,
      0.03227600857031193,
      0.0317507592154922,
      0.031232910124696308,
      0.030722357016207465,
      0.030218996916693365,
      0.029722728357053543,
      0.029233451427457025,
      0.028751067514291996,
      0.028275479449179363,
      0.027806591415375365,
      0.02734430893602901,
      0.0268885389563119,
      0.02643918972765584,
      0.02599617065905888,
      0.025559392535274308,
      0.025128767314059122,
      0.0247042083099274,
      0.024285630064799713,
      0.02387294823632033,
      0.023466079662285307,
      0.023064942461428928,
      0.02266945585919755,
      0.022279540126002136,
      0.021895116875928017,
      0.02151610863724175,
      0.02114243910270965,
      0.02077403305167878,
      0.020410816275053985,
      0.020052715672762945,
      0.019699659247237985,
      0.019351575910692444,
      0.019008395543687818,
      0.018670049076575962,
      0.018336468416315706,
      0.018007586446810293,
      0.017683336899488304,
      0.0173636544115292,
      0.017048474702604975,
      0.01673773431645587,
      0.01643137076027714,
      0.016129322297954114,
      0.015831528159750616,
      0.015537928469449477,
      0.015248464124157892,
      0.014963076861631293,
      0.014681709241781905,
      0.014404304599647573,
      0.01413080709669366,
      0.01386116174364099,
      0.013595314254811156,
      0.013333211007071105,
      0.01307480008864842,
      0.012820032565414606,
      0.012568859782457004,
      0.012321232823763283,
      0.012077102810286686,
      0.011836421045211555,
      0.011599139440006508,
      0.011365210332209552,
      0.011134586616415063,
      0.010907221750347147,
      0.010683069737768912,
      0.010462085246987912,
      0.010244223604798122,
      0.0100294406783573,
      0.00981769296943449,
      0.009608937583484438,
      0.009403132226777113,
      0.009200235326874225,
      0.009000205723143674,
      0.008803002886961694,
      0.008608586877062402,
      0.008416918386526586,
      0.008227958461282768,
      0.008041668824321802,
      0.007858011750963628,
      0.0076769500989011166,
      0.0074984471944228945,
      0.007322466770974894,
      0.007148973272336855,
      0.006977931534699211,
      0.006809306909755777,
      0.006643065154084339,
      0.006479172650974533,
      0.006317596170163104,
      0.006158303036787508,
      0.006001260958385172,
      0.005846438076227591,
      0.005693803107653383,
      0.005543325172182426,
      0.005394973721260736,
      0.005248718743021447,
      0.005104530599574888,
      0.004962380063610695,
      0.004822238394554958,
      0.004684077123816472,
      0.0045478682102567435,
      0.0044135840573933036,
      0.004281197589550958,
      0.00415068199278748,
      0.004022010788107725,
      0.0038951578162140905,
      0.003770097408434873,
      0.0036468042034039022,
      0.003525253301764562,
      0.003405420086027321,
      0.0032872802317932856,
      0.0031708099305326077,
      0.003055985503303378,
      0.002942783657897047,
      0.0028311815690490053,
      0.002721156597910629,
      0.002612686470513152,
      0.00250574919655103,
      0.0024003231041019478,
      0.0022963867797853917,
      0.002193919258269458,
      0.0020928997874365193,
      0.001993307918671999,
      0.0018951233946043371,
      0.0017983263623624016,
      0.0017028970919458863,
      0.0016088163696252604,
      0.0015160651616245723,
      0.0014246246221535966,
      0.0013344762738532433,
      0.0012456018524723608,
      0.001157983368879754,
      0.0010716029811526154,
      0.0009864433125338517,
      0.000902487135120124,
      0.0008197173595907052,
      0.0007381171588736288,
      0.0006576701119207638,
      0.0005783598593552027,
      0.000500170287574147,
      0.0004230856242782189,
      0.00034709031944042424,
      0.0002721689458757041,
      0.00019830636159994138,
      0.00012548761204240387,
      5.3697839465999966e-05,
      -1.7077425170068517e-05,
      -8.685259295010278e-05,
      -0.00015564178707670116,
      -0.0002234589302397909,
      -0.00029031766566002374,
      -0.00035623156952866277,
      -0.00042121403281238215,
      -0.0004852782691154627,
      -0.0005484372075421515,
      -0.0006107035626675626,
      -0.0006720900116330217
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566929118002056,
      10.337297942148433,
      10.100104383202096,
      9.858300338592136,
      9.614292676786135,
      9.370169075727691,
      9.127736834776611,
      8.888485494802273,
      8.653603186303236,
      8.423993346596685,
      8.200276652072422,
      7.9828070168047995,
      7.771698782695505,
      7.5668630443887706,
      7.36804778093296,
      7.174876195829826,
      6.986880956744199,
      6.803545424630014,
      6.62434014240062,
      6.448747301342302,
      6.276272148661797,
      6.106463407056681,
      5.938930063611828,
      5.7733455885267455,
      5.60945489694315,
      5.447079604167033,
      5.286115909746001,
      5.126539065411337,
      4.9683969998599125,
      4.811805086845509,
      4.6569369005648555,
      4.504030011413868,
      4.353372913215159,
      4.205298987133718,
      4.060200262917305,
      3.918489058336901,
      3.7805702623583954,
      3.6468282600783706,
      3.51761587336576,
      3.3932468616496148,
      3.2739878538792473,
      3.1600502828942925,
      3.051588097346739,
      2.9486970222103093,
      2.8514074949126704,
      2.7596856404812673,
      2.6734353058127986,
      2.5925141376751593,
      2.5167332606067934,
      2.445859761964917,
      2.379648903511953,
      2.3178279655384957,
      2.260091608930656,
      2.206115928859494,
      2.155531957339337,
      2.1079514018913033,
      2.0630201879214174,
      2.020406834850719,
      1.9798050557186597,
      1.9409492917617326,
      1.903626465064048,
      1.8676697269538027,
      1.8329444068181102,
      1.799334397096739,
      1.7667421299906416,
      1.735089520521246,
      1.7043127185135778,
      1.6743583801584705,
      1.6451810042145407,
      1.6167410240929532,
      1.5890020427286344,
      1.5619292248731373,
      1.5354916114518666,
      1.509661660503357,
      1.4844144836974738,
      1.4597273023746098,
      1.4355790559444337,
      1.4119501169668638,
      1.3888220810331304,
      1.366177905324428,
      1.344002468848925,
      1.322281881127542,
      1.3010025718657703,
      1.280151228796129,
      1.2597148896543988,
      1.2396809962745965,
      1.2200374241587564,
      1.2007724943011533,
      1.181874973622467,
      1.1633340682121995,
      1.1451394115231162,
      1.1272812628569622,
      1.1097511381275902,
      1.0925410749645403,
      1.0756438565009414,
      1.0590535455437762,
      1.0427639742966965,
      1.0267685348917168,
      1.0110604105404306,
      0.9956327296363415,
      0.9804786652599617,
      0.9655915084689465,
      0.9509661037826039,
      0.9365981782375433,
      0.922482872767926,
      0.9086150067368156,
      0.8949892486861555,
      0.8816002287595613,
      0.8684426115858516,
      0.8555111423855862,
      0.842800675857388,
      0.8303061932433752,
      0.8180228113678809,
      0.8059457870163154,
      0.794070517107021,
      0.7823925370778924,
      0.7709075188852308,
      0.7596112663680313,
      0.7484997113697127,
      0.7375689096034874,
      0.726815035805889,
      0.7162343795211812,
      0.7058233405949463,
      0.6955784249520155,
      0.685496240594943,
      0.6755734936302868,
      0.6658069845857402,
      0.6561936045914541,
      0.6467303129654516,
      0.6374140981571693,
      0.6282420430238077,
      0.6192113308178999,
      0.6103192347886073,
      0.6015631101858676,
      0.5929403885719787,
      0.5844485726951985,
      0.5760851534041643,
      0.5678472135175024,
      0.5597318399078762,
      0.551736392756942,
      0.5438584343100454,
      0.5360956793838767,
      0.5284459618519294,
      0.520907210940963,
      0.5134774348129504,
      0.5061547088773,
      0.49893716756608053,
      0.49182299803173474,
      0.4848104356596753,
      0.47789776045223215,
      0.471083294487871,
      0.4643653996700176,
      0.45774247561620707,
      0.45121295814914747,
      0.4447753180888938,
      0.4384280598428462,
      0.4321697202306033,
      0.4259988674965695,
      0.4199141001084398,
      0.4139140462618526,
      0.4079973624925568,
      0.40216273318040285,
      0.39640886967817646,
      0.39073450929652354,
      0.3851384147085683,
      0.379619373344848,
      0.3741761965783714,
      0.3688077191862008,
      0.36351279853027574,
      0.35829042837596536,
      0.35313967431989535,
      0.3480593987269453,
      0.34304851253973256,
      0.33810596607397586,
      0.33323073135467507,
      0.32842180096943263,
      0.323678588808688,
      0.3190007814044001,
      0.3143880386682792,
      0.30983988763716247,
      0.3053556934364799,
      0.30093471821846707,
      0.2965761604455266,
      0.29227918095416094,
      0.2880429206552637,
      0.2838665121131914,
      0.2797491642498464,
      0.27569015082867104,
      0.2716887094698234,
      0.2677440525920168,
      0.26385538053028035,
      0.26002198382701686,
      0.25624347666787245,
      0.25251941623439433,
      0.24884923810148749,
      0.24523230028448648,
      0.24166791287533215,
      0.23815535796210122,
      0.23469390301093154,
      0.23128280983575347,
      0.22792134039924022,
      0.22460876082944384,
      0.22134434401183453,
      0.21812737109877073,
      0.21495709985794703,
      0.2118327259675068,
      0.20875347735638333,
      0.20571862314833805,
      0.2027274635867736,
      0.19977932336451837,
      0.19687354694793466,
      0.19400949542057608,
      0.19118654403338736,
      0.18840408073349427,
      0.18566150503006057,
      0.1829582272196434,
      0.18029366771387795,
      0.1776672567097575,
      0.17507843370520368,
      0.17252664718990202,
      0.170011354593396,
      0.16753202192483246,
      0.1650881234590942,
      0.1626791417558707,
      0.16030456740062637,
      0.15796389887446483,
      0.15565664246400385,
      0.15338231195660282,
      0.15114042869256333,
      0.14893052142189955,
      0.14675212603522425,
      0.1446047854222144,
      0.14248804950275376,
      0.14040147487706586,
      0.13834462501649675,
      0.13631707002898497,
      0.13431838643774943,
      0.13234815719489693,
      0.13040597152328048,
      0.12849142480918818,
      0.12660411850716344,
      0.12474366004413456,
      0.12290966266567635,
      0.12110174540182267,
      0.11931953296199897,
      0.11756265576227805,
      0.11583074955070503,
      0.11412345555215436,
      0.11244042029345398,
      0.11078129552833423,
      0.10914573831939908,
      0.107533410602591,
      0.1059439792961285,
      0.10437711632367841,
      0.10283249838059798,
      0.10130980690053797,
      0.09980872802529321,
      0.09832895250745878,
      0.09687017392495668,
      0.09543207834791406,
      0.09401435381341464,
      0.09261669862201487,
      0.09123881933624446,
      0.08988042918527452,
      0.08854124737149319,
      0.08722099837316617,
      0.08591941138044021,
      0.08463621993247562,
      0.0833711618721431,
      0.08212397900760228,
      0.08089441708065911,
      0.0796822254845379,
      0.07848715746610672,
      0.0773089698897032,
      0.07614742303638962,
      0.07500228063479622,
      0.07387330990748969,
      0.07276028156338941,
      0.07166296938566451,
      0.07058115045451181,
      0.06951460519398492,
      0.06846311709408638,
      0.0674264727301797,
      0.06640446178394453,
      0.06539687692957284,
      0.06440351368631159,
      0.06342417068226301,
      0.062458649465253466,
      0.06150675427033544,
      0.06056829212805501,
      0.05964307294798239,
      0.058730909352229396,
      0.05783161654778277,
      0.0569450123606661,
      0.05607091728336176,
      0.0552091544049213,
      0.05435954924584922,
      0.05352192983411549,
      0.05269612664115467,
      0.051881972644884415,
      0.05107930309638083,
      0.050287955686719225,
      0.04950777032527664,
      0.04873858925709319,
      0.04798025696970209,
      0.04723262011793448,
      0.04649552753339891,
      0.04576883021322583,
      0.045052381393687516,
      0.04434603634926499,
      0.04364965218627145,
      0.042963088283366944,
      0.04228620595147754,
      0.0416188684798272,
      0.04096094095714506,
      0.0403122905133315,
      0.039672786174404104,
      0.03904229882027572,
      0.038420701190750015,
      0.03780786770177472,
      0.037203674601788424,
      0.036607999950743285,
      0.03602072349455961,
      0.03544172672774248,
      0.034870892781024065,
      0.0343081064744972,
      0.033753254195967135,
      0.03320622400169814,
      0.03266690553882402,
      0.03213518989783117,
      0.031610969759909534,
      0.031094139458230453,
      0.030584594746576006,
      0.030082232885302013,
      0.029586952453052425,
      0.029098653529472496,
      0.028617237610062712,
      0.02814260770477729,
      0.02767466806699224,
      0.027213324232771445,
      0.026758483236800783,
      0.02631005334426511,
      0.025867944143846317,
      0.025432066404031443,
      0.025002332207526123,
      0.02457865507172254,
      0.02416094958487071,
      0.023749131561869363,
      0.023343117867336463,
      0.022942826675654143,
      0.02254817727147554,
      0.02215909018534617,
      0.021775486882827818,
      0.021397290040545882,
      0.02102442343420821,
      0.02065681184873422,
      0.020294381257453996,
      0.019937058602179387,
      0.019584771863331418,
      0.019237450051380677,
      0.018895023087739778,
      0.018557422051990353,
      0.018224578924522433,
      0.01789642658716131,
      0.017572898973858282,
      0.01725393084349371,
      0.016939457867655938,
      0.016629416734854737,
      0.01632374498510283,
      0.01602238105770735,
      0.015725264221811038,
      0.015432334560700426,
      0.015143533055493902,
      0.014858801423333786,
      0.014578082423421845,
      0.014301319511693313,
      0.01402845691177595,
      0.013759439561613235,
      0.013494213253910526,
      0.01323272463988502,
      0.012974921248675352,
      0.01272075385173809,
      0.012470174075021536,
      0.012223133249188625,
      0.011979582772128608,
      0.0117394741599733,
      0.011502759365778173,
      0.011269390934656107,
      0.01103932177299786,
      0.010812505320155525,
      0.010588895715502903,
      0.010368447745606274,
      0.010151116730710265,
      0.009936858584831686,
      0.009725629967139316,
      0.009517387978201943,
      0.00931209039269267,
      0.009109695582632022,
      0.00891016260850089,
      0.008713451001377766,
      0.00851952088411418,
      0.008328332859353634,
      0.00813984813487505,
      0.007954028511189426,
      0.007770836320811036,
      0.007590234395031668,
      0.007412186000656051,
      0.007236655185675029,
      0.007063606345485499,
      0.006893004293261457,
      0.006724814439905429,
      0.0065590026580961735,
      0.006395535339407454,
      0.006234379370488718,
      0.006075502053984867,
      0.005918871196546093,
      0.005764454995132328,
      0.0056122221094514,
      0.00546214175603623,
      0.005314183427042302,
      0.005168317126982259,
      0.005024513306096202,
      0.004882742738149632,
      0.0047429766727552485,
      0.004605186856216996,
      0.004469345312440011,
      0.004335424430295982,
      0.00420339709065805,
      0.0040732365218376695,
      0.003944916353403965,
      0.003818410531808703,
      0.0036936934281261843,
      0.0035707397627530485,
      0.0034495244935248788,
      0.0033300230991654446,
      0.00321221129206762,
      0.0030960652792027827,
      0.002981561535137046,
      0.002868676786151067,
      0.0027573881541096963,
      0.0026476731047826206,
      0.0025395093468098635,
      0.0024328748267793622,
      0.002327748011618861,
      0.0022241076769027933,
      0.0021219328107341577,
      0.0020212026139959935,
      0.0019218966540170738,
      0.001823994784552373,
      0.001727477149170997,
      0.0016323242050877986,
      0.0015385166910614242,
      0.001446035456337604,
      0.001354861843658212,
      0.0012649773229785543,
      0.0011763636544694586,
      0.001089002893065364,
      0.0010028773307449571,
      0.0009179695161794227,
      0.0008342621797397762,
      0.0007517384520599303,
      0.0006703815432249003,
      0.0005901750205243983,
      0.000511102591123452,
      0.0004331481652989411,
      0.0003562959589675211,
      0.0002805303359246175,
      0.00020583593113414448,
      0.00013219768578166805,
      5.960069267187511e-05,
      -1.1969792173842508e-05,
      -8.252837567167764e-05,
      -0.00015208929877276136,
      -0.0002206666450930443,
      -0.0002882743833225112,
      -0.0003549262378465992,
      -0.0004206356787748687,
      -0.00048541605767176544,
      -0.0005492805008835345,
      -0.0006122420182887842,
      -0.0006743133635908791,
      -0.0007355070017025952
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566925745707948,
      10.337281293507806,
      10.100066215661593,
      9.858234950528178,
      9.61419594614171,
      9.370037874690418,
      9.127569317202079,
      8.888281182743869,
      8.653362160144015,
      8.423716020944713,
      8.199963608722438,
      7.982458876491158,
      7.7713161111849365,
      7.566446286017985,
      7.367597234946926,
      7.174391916430603,
      6.9863627145897205,
      6.802992973165031,
      6.623753260464254,
      6.448125885868158,
      6.275616382024296,
      6.105773719570259,
      5.938207059887983,
      5.772590154335478,
      5.608668227013989,
      5.446263223156656,
      5.285271713303193,
      5.125669379433091,
      4.967504575069493,
      4.8108928878859825,
      4.656008218521704,
      4.5030885493040405,
      4.352422822884696,
      4.204345034973675,
      4.059247929563417,
      3.9175437171912715,
      3.779637069000132,
      3.645912062054807,
      3.516721126309666,
      3.39237770180601,
      3.2731479339509377,
      3.159242655726266,
      3.0508152032373985,
      2.947960560305214,
      2.8507083533289594,
      2.7590237225707126,
      2.672809818652091,
      2.591923803342396,
      2.5161759113055084,
      2.4453329021383112,
      2.3791499232945847,
      2.3173540372874792,
      2.259639723388017,
      2.205682764786472,
      2.1551138426148952,
      2.1075448903793372,
      2.0626221167741376,
      2.0200142524388887,
      1.9794154471421803,
      1.9405606978637877,
      1.9032374474254763,
      1.8672792223873993,
      1.8325515474874718,
      1.7989384394413481,
      1.7663425702667845,
      1.7346860264553845,
      1.7039050804783988,
      1.6739464756459974,
      1.6447647726889978,
      1.6163204495816017,
      1.588577163970418,
      1.5615001049394184,
      1.5350583202618924,
      1.5092242720229325,
      1.483973074293334,
      1.4592819502226817,
      1.4351298400158699,
      1.4114971159970005,
      1.3883653732340573,
      1.365717589287015,
      1.343538672637185,
      1.3218147276855685,
      1.300532168009715,
      1.2796776693298069,
      1.2592382608876285,
      1.2392013786882197,
      1.219554893706437,
      1.2002871233123995,
      1.1813868319668288,
      1.162843223451884,
      1.1446459296808105,
      1.126785223886715,
      1.1092526425217704,
      1.0920402234325692,
      1.0751408806012284,
      1.0585487135176208,
      1.0422574847935673,
      1.026260538743907,
      1.0105510261517194,
      0.9951220528212303,
      0.9799667765483037,
      0.9650786088059965,
      0.9504525710800377,
      0.9360842757806686,
      0.9219687876483114,
      0.9081008744681955,
      0.8944751700232572,
      0.8810862808373432,
      0.8679288553833873,
      0.8549976282594488,
      0.8422874473081929,
      0.829793288720367,
      0.817510266099686,
      0.8054336338035235,
      0.7935587870959497,
      0.7818812606704464,
      0.7703967252352045,
      0.7591009841344905,
      0.7479899685919451,
      0.7370597337920121,
      0.726306454172948,
      0.7157264187159356,
      0.7053160270879355,
      0.6950717851284987,
      0.684990300608568,
      0.6750682791445087,
      0.665302520936338,
      0.6556899167346045,
      0.6462274237871527,
      0.6369120301506184,
      0.6277408190656085,
      0.6187109739957056,
      0.6098197679148869,
      0.6010645559135943,
      0.5924427693486157,
      0.5839519107589761,
      0.5755894928207368,
      0.56735262948358,
      0.5592383893795072,
      0.5512441206937039,
      0.5433673771458455,
      0.5356058678525518,
      0.527957422642719,
      0.5204199676722527,
      0.5129915092440333,
      0.5056701212429525,
      0.49845393679760436,
      0.49134114229852355,
      0.48432997241896747,
      0.47741870664339237,
      0.4706056664902147,
      0.46388921335509714,
      0.45726774641833656,
      0.4507397010531092,
      0.4443035477125147,
      0.43795779043734634,
      0.4317009655473749,
      0.42553164092731993,
      0.4194484148708443,
      0.4134499151471118,
      0.40753479798883124,
      0.4017017471840677,
      0.395949473783606,
      0.3902767146995111,
      0.3846822323589317,
      0.37916481401755014,
      0.37372327060993116,
      0.3683564363328448,
      0.3630631682530011,
      0.35784254504725205,
      0.35269362409728344,
      0.3476152431339762,
      0.3426063005162182,
      0.3376657317084836,
      0.3327924985558092,
      0.32798564646103473,
      0.3232446725243208,
      0.318569227175491,
      0.3139589574842155,
      0.309413350589671,
      0.3049317451101763,
      0.3005133852687663,
      0.29615745729643056,
      0.291863113857695,
      0.2876294902038214,
      0.2834557170885679,
      0.27934101737270195,
      0.27528466260990203,
      0.2712858829853671,
      0.26734388595871167,
      0.26345786833003304,
      0.25962714432491024,
      0.2558513339468534,
      0.25212998175443574,
      0.24846251472410238,
      0.2448482849513545,
      0.2412865986396994,
      0.23777673521428977,
      0.23431796042494304,
      0.23090953473493053,
      0.22755071917852826,
      0.22424077938526657,
      0.2209789876973108,
      0.21776462505705102,
      0.2145969400026154,
      0.2114751274451433,
      0.2083984184592823,
      0.20536608448219193,
      0.2023774273474759,
      0.19943177288679179,
      0.19652846623146045,
      0.1936668688482065,
      0.19084635629310331,
      0.18806631661327286,
      0.18532614947903425,
      0.18262526521791303,
      0.17996308437029734,
      0.17733903714297042,
      0.17475256303827721,
      0.17220311065847202,
      0.1696901374180566,
      0.167213109233202,
      0.16477150042965547,
      0.16236479349988772,
      0.15999247907239283,
      0.15765405562816925,
      0.15534902951799112,
      0.1530769145743234,
      0.15083723209323538,
      0.14862951073472705,
      0.14645328634790988,
      0.1443081018163186,
      0.1421935071007948,
      0.14010905900385628,
      0.13805432092798922,
      0.13602886297130584,
      0.13403226183275815,
      0.13206410034243346,
      0.13012396774159798,
      0.12821145936473646,
      0.12632617667748847,
      0.12446772719307128,
      0.1226357242547914,
      0.12082978691287576,
      0.11904953993346608,
      0.11729461367944877,
      0.11556464402784201,
      0.1138592722157982,
      0.11217814476080053,
      0.11052091348719736,
      0.10888723546155867,
      0.10727677263977305,
      0.10568919198835366,
      0.10412416545036432,
      0.10258136980038146,
      0.10106048654130528,
      0.09956120198219699,
      0.09808320675338861,
      0.09662619615693134,
      0.09518987003640458,
      0.09377393253506505,
      0.0923780921422227,
      0.09100206106173878,
      0.08964554442240205,
      0.08830824737517638,
      0.08698988498874455,
      0.08569018013380755,
      0.08440886240550705,
      0.08314566676814317,
      0.08190033329141111,
      0.08067260653575327,
      0.07946223522148403,
      0.07826897208743049,
      0.07709257364648832,
      0.07593280009157066,
      0.07478941514449397,
      0.07366218596567646,
      0.07255088321266967,
      0.07145528076791455,
      0.07037515586312983,
      0.06931028900259255,
      0.0682604636694868,
      0.067225466529669,
      0.06620508746557943,
      0.0651991192310014,
      0.06420735749459842,
      0.06322960101516809,
      0.062265651360670936,
      0.06131531287606299,
      0.06037839277931736,
      0.059454701032535515,
      0.0585440503027438,
      0.05764625600266229,
      0.05676113606827322,
      0.055888511032090235,
      0.05502820405499191,
      0.05418004081525353,
      0.053343849518668524,
      0.052519460637802724,
      0.051706707270568066,
      0.05090542484403609,
      0.05011545113868582,
      0.04933662622593886,
      0.048568792363441665,
      0.047811794118420056,
      0.04706547825123179,
      0.04632969380143697,
      0.045604291918470645,
      0.044889125830833085,
      0.04418405081673592,
      0.043488924198349974,
      0.04280360536288579,
      0.04212795580126503,
      0.04146183889712303,
      0.040805119872426646,
      0.04015766600096882,
      0.03951934628573398,
      0.03889003169969432,
      0.038269595004533294,
      0.03765791082762249,
      0.03705485563792078,
      0.036460307522194285,
      0.035874146349292826,
      0.035296253616551025,
      0.034726512630410926,
      0.03416480823229517,
      0.03361102702387686,
      0.03306505706786731,
      0.03252678805214144,
      0.031996111186821115,
      0.031472919400023495,
      0.030957106992685446,
      0.030448569814395973,
      0.029947205107842077,
      0.02945291162269132,
      0.028965589538036483,
      0.028485140415974386,
      0.028011467332024944,
      0.027544474712626117,
      0.02708406819696404,
      0.02663015485961394,
      0.026182643108096208,
      0.02574144252173228,
      0.02530646405790388,
      0.024877619932703203,
      0.02445482358302273,
      0.02403798966490741,
      0.023627034037581054,
      0.02322187370800676,
      0.022822426957593102,
      0.0224286132130862,
      0.022040352992157754,
      0.0216575679738448,
      0.021280180854132517,
      0.020908115487071482,
      0.02054129683457089,
      0.02017965083648306,
      0.019823104470357924,
      0.0194715857962836,
      0.01912502396122653,
      0.018783349067881823,
      0.01844649208537117,
      0.018114385113130488,
      0.017786961140234987,
      0.01746415409455421,
      0.017145898908415048,
      0.016832131371634165,
      0.016522788115317606,
      0.016217806802405105,
      0.015917125908717782,
      0.015620684780895212,
      0.015328423538524915,
      0.015040283278349987,
      0.014756205907046623,
      0.014476134129636742,
      0.014200011364902102,
      0.013927782006927167,
      0.013659391105299247,
      0.01339478453785204,
      0.013133908982701966,
      0.012876711798206727,
      0.012623143258952273,
      0.012373155305162812,
      0.012126699471266983,
      0.011883727363976937,
      0.011644190688742655,
      0.011408041518319706,
      0.011175232308178289,
      0.01094571619984977,
      0.010719446781608591,
      0.010496378196511778,
      0.010276465286893932,
      0.010059663494439302,
      0.009845928844311166,
      0.00963521800811702,
      0.009427488191034464,
      0.00922269714209693,
      0.009020803332059901,
      0.008821765701121729,
      0.008625543924279588,
      0.008432098144750138,
      0.008241389161257589,
      0.008053378274195168,
      0.007868027222815393,
      0.00768529839123851,
      0.007505154679992207,
      0.007327559506735552,
      0.0071524768090571325,
      0.006979871055560444,
      0.0068097073099866534,
      0.006641950941557198,
      0.0064765677751467176,
      0.006313524383519423,
      0.006152787631542657,
      0.005994324826243549,
      0.005838103760043414,
      0.005684092743639407,
      0.005532260519543237,
      0.005382576330391787,
      0.005235009772761464,
      0.005089530856013931,
      0.004946109916074775,
      0.0048047179447600254,
      0.004665326310223552,
      0.004527906670056238,
      0.004392431089047143,
      0.004258872139555413,
      0.004127202679266341,
      0.003997395948207132,
      0.0038694256545901626,
      0.003743265718860321,
      0.0036188905722606976,
      0.003496274935417561,
      0.003375393916228452,
      0.0032562230079018527,
      0.0031387379797701296,
      0.0030229150939235978,
      0.0029087307639291864,
      0.0027961618055372577,
      0.002685185288807462,
      0.0025757787788564745,
      0.0024679201014459464,
      0.002361587243077312,
      0.0022567587481994427,
      0.002153413310231869,
      0.0020515299237304193,
      0.0019510878841976944,
      0.0018520667643983672,
      0.0017544464803266996,
      0.001658207212344904,
      0.0015633293972700268,
      0.0014697938426630065,
      0.0013775814094957714,
      0.0012866734397130636,
      0.0011970516128697619,
      0.001108697759900591,
      0.0010215938170854023,
      0.0009357220796845076,
      0.0008510651259680095,
      0.0007676057615042595,
      0.000685327066296369,
      0.0006042124363882346,
      0.000524245423295788,
      0.0004454097648747499,
      0.00036768940404367453,
      0.0002910685341446136,
      0.00021553166385868635,
      0.00014106339118204165,
      6.764854644409906e-05,
      -4.7276638479421635e-06,
      -7.60799438330743e-05,
      -0.00014642283896649274,
      -0.00021577056394657298,
      -0.0002841372049733037,
      -0.00035153666057971425,
      -0.0004179825879703824,
      -0.0004834884948486453,
      -0.0005480677351918329,
      -0.000611733453456569,
      -0.0006744984453828707,
      -0.0007363755519986618,
      -0.0007973772451867544
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566922393250266,
      10.337264735863537,
      10.100028253376088,
      9.858169913048622,
      9.614099658501422,
      9.369907172040381,
      9.127402383292837,
      8.888077563554496,
      8.653121951985899,
      8.423439653102701,
      8.199651678584868,
      7.982112015384886,
      7.770934894010865,
      7.5660311652493775,
      7.367148515442648,
      7.17390965668147,
      6.98584669003626,
      6.802442943160137,
      6.623169007654479,
      6.447507312432198,
      6.274963676341448,
      6.105087316477621,
      5.937487567979634,
      5.771838462833883,
      5.6078855327133255,
      5.445451051242444,
      5.2844319594571125,
      5.124804366749863,
      4.966617049702153,
      4.809985808363125,
      4.6550848665576,
      4.502152614814427,
      4.351478440097852,
      4.203397068687395,
      4.058301819145445,
      3.9166047947323475,
      3.7787104494445622,
      3.645002552011624,
      3.515833142055483,
      3.391515340928333,
      3.2723148122882333,
      3.1584417931678965,
      3.050049010779807,
      2.9472307103244892,
      2.850015711768074,
      2.758368178910656,
      2.672190571401777,
      2.5913395688424568,
      2.5156245191603195,
      2.444811857045974,
      2.378656617763795,
      2.316885647601634,
      2.2591932458142217,
      2.2052548852265583,
      2.1547008989250203,
      2.1071434475234625,
      2.062228997947632,
      2.0196264866725984,
      1.9790305457974282,
      1.9401767220247825,
      1.9028529739016171,
      1.8668931998731184,
      1.8321631189946552,
      1.798546873163962,
      1.765947370379246,
      1.7342868664649864,
      1.7035017548346199,
      1.6735388658205477,
      1.644352821399873,
      1.6159041427064336,
      1.588156541952038,
      1.5610752322913635,
      1.5346292675626125,
      1.5087911140688715,
      1.4835358892556425,
      1.4588408173154095,
      1.4346848386752935,
      1.4110483258578268,
      1.387912873527154,
      1.3652614790713418,
      1.3430790805974655,
      1.3213517768188674,
      1.3000659653210282,
      1.2792083100916856,
      1.2587658317438724,
      1.2387259604132108,
      1.2190765626516944,
      1.1998059526589364,
      1.1809028917126603,
      1.1623565817789692,
      1.1441566529535157,
      1.1262933920151246,
      1.108758355714121,
      1.0915435826815418,
      1.0746421408524114,
      1.0580481344319468,
      1.0417552591102817,
      1.025756813527018,
      1.0100459173016183,
      0.9946156545988418,
      0.9794591683114414,
      0.964569990345113,
      0.9499433191112652,
      0.935574652702029,
      0.9214589797618982,
      0.9075910169455693,
      0.8939653633115685,
      0.8805766021486318,
      0.8674193663063415,
      0.854488379933279,
      0.8417784829146064,
      0.8292846467583047,
      0.8170019817026025,
      0.8049257398835125,
      0.793051315062703,
      0.7813742405741497,
      0.7698901862251493,
      0.7585949545720323,
      0.7474844764298448,
      0.7365548066101801,
      0.7258021192783648,
      0.7152227031799927,
      0.7048129575944089,
      0.6945693878097869,
      0.6844886011244469,
      0.6745673032075598,
      0.6648022940384339,
      0.655190464092758,
      0.6457287685237452,
      0.6364141947398824,
      0.6272438263356847,
      0.618214846775048,
      0.6093245292046978,
      0.6005702287212414,
      0.5919493762079404,
      0.5834594739281231,
      0.5750980564182917,
      0.5668622690953458,
      0.5587491623297014,
      0.5507560720853378,
      0.5428805434565448,
      0.5351202797586093,
      0.5274731066974783,
      0.51993694778697,
      0.5125098070335973,
      0.5051897568157891,
      0.49797492933103793,
      0.4908635099687985,
      0.48385373280571486,
      0.4769438765662799,
      0.4701322622194127,
      0.4634172506614419,
      0.45679724059131166,
      0.45027066711533464,
      0.44383600024690323,
      0.4374917435600923,
      0.43123643312919735,
      0.42506863652950455,
      0.41898695154806265,
      0.4129900055239963,
      0.4070764544326531,
      0.4012449818449595,
      0.3954942981211322,
      0.3898231398931667,
      0.3842302693827178,
      0.37871447320182045,
      0.37327456206168746,
      0.36790937007209423,
      0.36261778819419016,
      0.35739896182180414,
      0.3522519064305181,
      0.34717544248572113,
      0.34216845713868344,
      0.33722987381011466,
      0.3323586460089093,
      0.3275538748493299,
      0.3228151400093873,
      0.3181420700692823,
      0.3135342790353158,
      0.3089912170548624,
      0.30451219773456334,
      0.3000964484434861,
      0.2957431439925951,
      0.29145142938694246,
      0.28722043473937453,
      0.28304929599670603,
      0.2789372463061858,
      0.27488354809818527,
      0.27088742551293143,
      0.26694808184477764,
      0.26306471113273044,
      0.25923665496994436,
      0.2554635343565301,
      0.2517448819481999,
      0.24808011663250873,
      0.2444685850906391,
      0.2409095897080904,
      0.23740240737947613,
      0.23394630205289665,
      0.23054053303378494,
      0.2271843606962159,
      0.22387705008292633,
      0.22061787313355233,
      0.21740611051778694,
      0.21424100159646597,
      0.21112174038748677,
      0.2080475612523357,
      0.2050177378031398,
      0.20203157346485173,
      0.19908839513278143,
      0.19618754855310808,
      0.19332839562670665,
      0.1905103121893212,
      0.18773268655253283,
      0.18499491848370603,
      0.18229641841693717,
      0.17963660694475356,
      0.17701491419428944,
      0.17443077972242824,
      0.17188365214757867,
      0.16937298881669793,
      0.1668982556652379,
      0.16445892715610533,
      0.16205448577589532,
      0.15968442214291145,
      0.15734823476132218,
      0.15504542988505646,
      0.15277552140845574,
      0.1505380306187818,
      0.14833248613392885,
      0.14615842382871091,
      0.14401538674299294,
      0.1419029248641678,
      0.1398205948396744,
      0.13776796017998585,
      0.1357445909530047,
      0.1337500637203453,
      0.13178396151856098,
      0.12984587348408658,
      0.12793539509428492,
      0.12605212791911527,
      0.12419567937861199,
      0.12236566282993949,
      0.12056169738019638,
      0.1187834078763072,
      0.11703042463282785,
      0.1153023835971403,
      0.11359892600437857,
      0.11191969846280955,
      0.11026435290382543,
      0.10863254633945754,
      0.10702394077631203,
      0.10543820315186342,
      0.10387500554833044,
      0.10233402472982857,
      0.10081494224876796,
      0.09931744437740207,
      0.09784122188965828,
      0.0963859701446377,
      0.09495138905827702,
      0.0935371828424437,
      0.09214305994980247,
      0.09076873317284492,
      0.08941391958632958,
      0.08807834035811193,
      0.08676172063169427,
      0.08546378951453538,
      0.08418427362266757,
      0.08292289469001608,
      0.08167938230373734,
      0.080453474067502,
      0.07924491414583788,
      0.07805345217014127,
      0.07687884267671792,
      0.07572084443519995,
      0.07457922034000655,
      0.07345373700146834,
      0.0723441647323744,
      0.07125027730268281,
      0.07017185180586348,
      0.06910866867382488,
      0.06806051157353657,
      0.06702716723607097,
      0.06600842553219438,
      0.06500407927643442,
      0.06401392428341879,
      0.06303775938463882,
      0.06207538615403004,
      0.06112660905382899,
      0.060191235511894994,
      0.059269075707539344,
      0.05835994232345728,
      0.057463650805830685,
      0.056580019246859674,
      0.055708868318502906,
      0.05485002136880095,
      0.05400330413004056,
      0.05316854485929156,
      0.052345574291082345,
      0.051534225583557074,
      0.05073433415586377,
      0.049945737804571455,
      0.04916827672087238,
      0.04840179332572977,
      0.04764613238433993,
      0.04690114078219245,
      0.04616666757674543,
      0.045442564003085155,
      0.044728683471764286,
      0.044024881358966546,
      0.04333101510937261,
      0.0426469441875992,
      0.041972530145850964,
      0.04130763637474875,
      0.04065212826863631,
      0.040005873242326524,
      0.03936874054287646,
      0.0387406011156236,
      0.038121327852458003,
      0.037510795465576,
      0.03690888039691056,
      0.03631546091554666,
      0.03573041693264794,
      0.03515363022665446,
      0.034584984157178394,
      0.03402436354416927,
      0.033471655036005556,
      0.03292674686742936,
      0.03238952883068127,
      0.03185989233525044,
      0.031337730193462456,
      0.030822936968945207,
      0.030315408570957627,
      0.029815042306038212,
      0.029321737112855236,
      0.028835393148241073,
      0.028355912135098388,
      0.027883197226341302,
      0.027417152798047604,
      0.02695768475009117,
      0.02650470011255421,
      0.02605810740764935,
      0.025617816368163557,
      0.02518373795972409,
      0.02475578457969694,
      0.024333869657064102,
      0.02391790800731016,
      0.023507815588014895,
      0.02310350950718408,
      0.022704908061402813,
      0.02231193074056579,
      0.021924497995220248,
      0.021542531650537936,
      0.02116595467000438,
      0.020794690936761548,
      0.020428665419765003,
      0.02006780419807328,
      0.01971203433026623,
      0.019361283988788176,
      0.019015482407327974,
      0.01867455969297517,
      0.01833844696575957,
      0.018007076387749076,
      0.01768038099905519,
      0.017358294818008758,
      0.01704075277356757,
      0.01672769074916164,
      0.016419045617816284,
      0.01611475488002212,
      0.0158147572142933,
      0.015518991918315437,
      0.015227399262971574,
      0.014939920410536506,
      0.014656497375160189,
      0.014377072890789851,
      0.014101590542925157,
      0.013829994636483624,
      0.01356223032088312,
      0.013298243546841742,
      0.013037981064189325,
      0.01278139032134264,
      0.012528420880859661,
      0.012279024832731142,
      0.012033154017394975,
      0.011790760193428852,
      0.011551795236105921,
      0.011316211464178254,
      0.011083961376168112,
      0.010854998207849208,
      0.010629275659390234,
      0.01040674794526229,
      0.010187369950338851,
      0.009971097173535415,
      0.009757885744069642,
      0.009547692319557002,
      0.009340474221110472,
      0.009136189304039182,
      0.008934796015236102,
      0.008736253433623947,
      0.008540521275094207,
      0.00834755970892409,
      0.008157329500538163,
      0.007969791990973422,
      0.007784909047187103,
      0.007602643160336598,
      0.007422957260463852,
      0.007245814838293109,
      0.007071179935478605,
      0.0068990170542787615,
      0.006729291120280573,
      0.0065619676435341315,
      0.006397012640514186,
      0.0062343925324629765,
      0.0060740743063937164,
      0.005916025328190849,
      0.005760213513493603,
      0.005606607220882554,
      0.005455175210412245,
      0.00530588667996168,
      0.005158711309757031,
      0.005013619226034226,
      0.004870580909317371,
      0.004729567269385623,
      0.004590549626495574,
      0.004453499821436481,
      0.004318389996772677,
      0.004185192621166282,
      0.0040538806485469064,
      0.003924427271986473,
      0.003796806257346541,
      0.0036709917321394465,
      0.0035469581094285827,
      0.0034246801019557765,
      0.0033041329091302303,
      0.003185291985973347,
      0.0030681332203955558,
      0.0029526327749547394,
      0.0028387672858885254,
      0.0027265135741256744,
      0.002615848751565036,
      0.002506750411178686,
      0.002399196309827461,
      0.0022931646946690166,
      0.002188633982302736,
      0.002085582845865186,
      0.0019839903918959663,
      0.0018838359512640822,
      0.001785099118950515,
      0.001687759864711475,
      0.0015917984097918313,
      0.0014971952130537307,
      0.0014039311486620017,
      0.0013119871702905145,
      0.001221344662329504,
      0.0011319851315876447,
      0.0010438904463995894,
      0.0009570427654042974,
      0.0008714243975537522,
      0.0007870179488967573,
      0.0007038062797667443,
      0.0006217724693898892,
      0.0005408998510781768,
      0.00046117192138162575,
      0.00038257245987243947,
      0.0003050855671198041,
      0.00022869553238589492,
      0.00015338675925997633,
      7.914390792384217e-05,
      5.951930320404546e-06,
      -6.620398890417902e-05,
      -0.00013733860510027943,
      -0.000207466340563271,
      -0.0002766015004785925,
      -0.0003447580044133189,
      -0.0004119497274051521,
      -0.00047819034438966254,
      -0.0005434932821542955,
      -0.000607871912028078,
      -0.0006713393097094295,
      -0.0007339082429507613,
      -0.0007955915335974506,
      -0.0008564018340619327
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566919056458275,
      10.337248255899285,
      10.099990468373441,
      9.858105171624878,
      9.614003770533216,
      9.3697769646666,
      9.127236057053135,
      8.887874676725463,
      8.652882612177784,
      8.423164297881058,
      8.199340911054652,
      7.981766472597208,
      7.7705551551019605,
      7.565617685245836,
      7.366701601798496,
      7.173429371253464,
      6.98533280955978,
      6.801895228360798,
      6.622587243970881,
      6.446891405046422,
      6.274313817970699,
      6.104403946104752,
      5.9367712973087645,
      5.771090183869667,
      5.607106445005244,
      5.444642681140383,
      5.2835962023975105,
      5.123943544490451,
      4.965733905217635,
      4.809083294937739,
      4.654166258919253,
      4.5012215943316525,
      4.350539125149364,
      4.202454303924708,
      4.057361020987163,
      3.9156712699140774,
      3.7777892877000503,
      3.6440985351980513,
      3.514950694491591,
      3.3906585643942657,
      3.2714872908569377,
      3.1576465166863756,
      3.049288362914488,
      2.946506339726266,
      2.8493284637216707,
      2.757717929838911,
      2.6715765112747847,
      2.590760408507346,
      2.5150780861225153,
      2.4442956549275383,
      2.3781680395620723,
      2.3164218733870117,
      2.258751276298813,
      2.20483141196083,
      2.1542922665231714,
      2.1067462281285025,
      2.061840020174684,
      2.0192427860507087,
      1.9786496424856477,
      1.9397966850717434,
      1.9024723870960047,
      1.8665110173524913,
      1.831778491126566,
      1.7981590776557927,
      1.7655559188751557,
      1.7338914382798067,
      1.7031021491020994,
      1.6731349670478697,
      1.6439445751015553,
      1.615491536949015,
      1.5877396185958323,
      1.5606540568927656,
      1.5342039119183808,
      1.5083616541569422,
      1.4831024025015542,
      1.458403382896964,
      1.434243536998745,
      1.410603237254991,
      1.3874640774933156,
      1.364809075151129,
      1.3426231976160965,
      1.3208925382230172,
      1.2996034782578232,
      1.2787426701196885,
      1.2582971260831,
      1.238254270037425,
      1.2186019639834365,
      1.199328518713692,
      1.1804226929455386,
      1.1618736865305501,
      1.143671128053583,
      1.1258053174797245,
      1.1082678322563992,
      1.0910507111250143,
      1.0741471760065504,
      1.0575513361043152,
      1.041256820211177,
      1.0252568815158232,
      1.0095446078294281,
      0.9941130619435027,
      0.978955371957002,
      0.9640651897542227,
      0.9494378900099844,
      0.9350688568479651,
      0.9209530032630253,
      0.9070849945597693,
      0.8934593953061187,
      0.8800707656831074,
      0.8669137228368843,
      0.8539829798731178,
      0.8412733697993888,
      0.8287798592458874,
      0.8164975551925,
      0.8044217071999467,
      0.7925477073732355,
      0.780871087987112,
      0.7693875180914623,
      0.7580927998502635,
      0.7469828635549854,
      0.736053763248139,
      0.7253016727029244,
      0.7147228804346181,
      0.7043137853878118,
      0.6940708926292146,
      0.6839908092877351,
      0.6740702404206076,
      0.6643059855270802,
      0.6546949349265847,
      0.6452340417170765,
      0.6359202927717534,
      0.6267507720226914,
      0.6177226630429882,
      0.6088332388514046,
      0.6000798544258378,
      0.5914599405822806,
      0.5829709992797022,
      0.5746105871901893,
      0.5663758814978123,
      0.5582639138992527,
      0.5502720079528544,
      0.5423977004510869,
      0.534638688619442,
      0.5269927941079553,
      0.5194579373956861,
      0.5120321205357757,
      0.5047134146148889,
      0.49749995037544986,
      0.4903899124433546,
      0.48338153392356803,
      0.4764730930647643,
      0.4696629103904677,
      0.4629493462481407,
      0.4563307990079798,
      0.44980570325395947,
      0.443372528658712,
      0.43702977842761026,
      0.4307759881047299,
      0.42460972474527675,
      0.4185295859508777,
      0.41253419867047825,
      0.40662221850782304,
      0.4007923286243982,
      0.39504323925835566,
      0.3893736867193027,
      0.3837824325994362,
      0.37826826317832046,
      0.37282998894938163,
      0.3674664435328748,
      0.36217656435216644,
      0.3569595545595318,
      0.351814383864136,
      0.34673985501353416,
      0.3417348401345166,
      0.33679825197148183,
      0.33192903675820445,
      0.32712639144402517,
      0.322389924731974,
      0.31771924901274556,
      0.31311394802640696,
      0.3085734374560746,
      0.3040970074001506,
      0.29968386943169567,
      0.2953331876717834,
      0.291044100049929,
      0.2868157318144428,
      0.282647224540815,
      0.2785378215494269,
      0.2744867763245802,
      0.2704933069715369,
      0.2665566128189396,
      0.2626758850888079,
      0.2588504925322725,
      0.2550800573928356,
      0.25136410032598655,
      0.24770203215883999,
      0.24409319412214386,
      0.24053688489873495,
      0.2370323788655674,
      0.23357893816851924,
      0.23017582099205974,
      0.22682228695935494,
      0.22351760048565575,
      0.22026103321899088,
      0.21705186552693095,
      0.21388932767707036,
      0.21077261286566848,
      0.20770095881222356,
      0.2046736413626947,
      0.20168996523679317,
      0.19874925826139545,
      0.19585086699508644,
      0.1929941537794078,
      0.19017849474846443,
      0.18740327843359855,
      0.18466790467912406,
      0.18197178408178136,
      0.17931433727840385,
      0.1766949944737579,
      0.17411319518239904,
      0.17156838798667373,
      0.16906003024705551,
      0.1665875880379721,
      0.16415053561516552,
      0.16174835554677203,
      0.1593805384900485,
      0.1570465828812967,
      0.1547459950150441,
      0.1524782888067322,
      0.15024298553215654,
      0.14803961385981,
      0.14586770964299406,
      0.1437268158720726,
      0.1416164825130391,
      0.13953626627070598,
      0.13748573072730402,
      0.1354644459286979,
      0.13347198846646252,
      0.1315079414012697,
      0.1295718939637801,
      0.12766344154776396,
      0.12578218575346364,
      0.12392773414466234,
      0.1220996999924756,
      0.12029770241824728,
      0.11852136623025121,
      0.11677032193749184,
      0.11504420538691527,
      0.11334265792055048,
      0.11166532629539946,
      0.11001186234110245,
      0.10838192306026435,
      0.10677517053550452,
      0.10519127186604832,
      0.10362989912086994,
      0.10209072906017341,
      0.100573443311445,
      0.09907772813551059,
      0.09760327442458944,
      0.09614977753143406,
      0.0947169373680044,
      0.09330445827162778,
      0.09191204886086532,
      0.09053942193169928,
      0.08918629446310138,
      0.08785238769487232,
      0.08653742688262774,
      0.0852411411720679,
      0.08396326379548497,
      0.08270353184311907,
      0.08146168630013843,
      0.08023747167375307,
      0.07903063573217542,
      0.07784092007640342,
      0.07666806638669715,
      0.07551182487292314,
      0.07437195273544787,
      0.07324821284358937,
      0.07214037302669979,
      0.07104820535184608,
      0.06997148593241245,
      0.06890999451276085,
      0.06786351425100874,
      0.0668318316382505,
      0.06581473641074033,
      0.06481202134373129,
      0.06382348228564497,
      0.06284891803771442,
      0.06188813035947282,
      0.06094092382584035,
      0.06000710593337215,
      0.05908648681319503,
      0.05817887926548171,
      0.057284098950325144,
      0.05640196410550702,
      0.05553229548709023,
      0.05467491642135847,
      0.05382965294249129,
      0.05299633334228717,
      0.052174788419061806,
      0.0513648513950907,
      0.050566357868920005,
      0.04977914579868879,
      0.04900305548171882,
      0.048237929482573855,
      0.0474836125949164,
      0.0467399518025386,
      0.04600679626106028,
      0.04528399728500812,
      0.044571408365098736,
      0.043868885003014564,
      0.04317628478298248,
      0.04249346741604396,
      0.04182029446190208,
      0.04115662935964493,
      0.04050233776815115,
      0.039857287065399934,
      0.039221346497117296,
      0.03859438727836216,
      0.03797628238462492,
      0.03736690663581694,
      0.03676613667620251,
      0.03617385071934587,
      0.03558992884968704,
      0.035014252701161985,
      0.034446705727182586,
      0.03388717311182142,
      0.033335541522298985,
      0.032791699334709955,
      0.032255536494309116,
      0.03172694443238425,
      0.031205816081561307,
      0.030692046014182274,
      0.030185530272448084,
      0.029686166293060055,
      0.02919385302823219,
      0.02870849081791039,
      0.028229981414065453,
      0.027758228029056156,
      0.02729313523096822,
      0.0268346088440768,
      0.026382556165875853,
      0.02593688569991431,
      0.025497507236972316,
      0.025064331922096738,
      0.02463727219321695,
      0.024216241616802244,
      0.023801155039447443,
      0.02339192848359231,
      0.02298847919441566,
      0.022590725551129186,
      0.022198587161091826,
      0.021811984672202207,
      0.02143083982507101,
      0.02105507568079225,
      0.020684616249772515,
      0.02031938653127858,
      0.019959312677805208,
      0.01960432192843698,
      0.01925434244472047,
      0.01890930342368843,
      0.018569135093998105,
      0.018233768709862295,
      0.017903136504281315,
      0.017577171576240887,
      0.017255807965662066,
      0.016938980719418063,
      0.016626625897526327,
      0.016318680316217672,
      0.016015081720221397,
      0.015715768684997633,
      0.015420680700470594,
      0.015129758130896231,
      0.014842942159396046,
      0.014560174938829391,
      0.014281399161572086,
      0.014006558515516953,
      0.013735597399504716,
      0.013468461023590684,
      0.013205095416848915,
      0.012945447349040823,
      0.01268946430673668,
      0.012437095228130638,
      0.012188292199003069,
      0.011943007440153728,
      0.011701192961466185,
      0.011462800812364577,
      0.011227783377393776,
      0.010996093354726306,
      0.010767684039681846,
      0.010542509232980309,
      0.01032052317400263,
      0.01010168093307016,
      0.009885938063402308,
      0.00967325062373208,
      0.009463575426057837,
      0.009256869827843893,
      0.00905309183197323,
      0.008852199845653845,
      0.008654153013323784,
      0.008458911139011323,
      0.008266434369777923,
      0.008076683605355803,
      0.007889620255635905,
      0.007705206248330232,
      0.007523404045030946,
      0.007344176716469523,
      0.007167487797552056,
      0.006993301303354413,
      0.006821581740549582,
      0.006652294127198444,
      0.006485404065413756,
      0.006320877631689331,
      0.006158681332808457,
      0.0059987822036124735,
      0.005841147658464171,
      0.005685745636708766,
      0.0055325445279417506,
      0.005381513117813853,
      0.005232620758220438,
      0.005085837087800432,
      0.004941132205613842,
      0.00479847673812338,
      0.004657841660308269,
      0.004519198417209896,
      0.00438251877981583,
      0.0042477748806947005,
      0.004114939301996735,
      0.003983984999427449,
      0.0038548853232973435,
      0.0037276139838780193,
      0.003602145171005566,
      0.0034784532872155554,
      0.003356513210052429,
      0.0032363001168491767,
      0.00311778955288993,
      0.0030009574562697783,
      0.0028857799172325458,
      0.0027722335232948387,
      0.0026602952030170945,
      0.0025499422186926815,
      0.002441152153378465,
      0.002333902911966148,
      0.002228172577090716,
      0.002123939603131515,
      0.0020211828142255263,
      0.001919881244858741,
      0.001820014451951213,
      0.0017215619191365253,
      0.0016245037272215575,
      0.0015288201704335741,
      0.001434491723601626,
      0.0013414992008975609,
      0.0012498236232718041,
      0.0011594464555980486,
      0.0010703492540740918,
      0.0009825138736882244,
      0.0008959224733096903,
      0.000810557426600291,
      0.000726401405400977,
      0.0006434372481952921,
      0.0005616480961952387,
      0.00048101733358690737,
      0.00040152850315694597,
      0.0003231653881049279,
      0.00024591215185111874,
      0.00016975298956541736,
      9.46724033642994e-05,
      2.0655128674028136e-05,
      -5.231395749528072e-05,
      -0.00012424958421003316,
      -0.0001951664496676796,
      -0.0002650790819490321,
      -0.0003340016095609476,
      -0.0004019479951686256,
      -0.00046893208390889,
      -0.0005349675498769408,
      -0.0006000677459273671,
      -0.0006642459217047875,
      -0.000727515173782992,
      -0.0007898883508170819,
      -0.0008513781357646268,
      -0.0009119970574932495
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566915732076763,
      10.337231835515388,
      10.099952821044068,
      9.858040668233064,
      9.613908235876716,
      9.369647241914333,
      9.127070357653267,
      8.887672569273684,
      8.652644211639199,
      8.42289004680529,
      8.1990314166526,
      7.981422374605829,
      7.770177035667576,
      7.565206000832946,
      7.366256660476563,
      7.1729512356609515,
      6.9848212580915545,
      6.801350024412415,
      6.622008175785201,
      6.446278381093894,
      6.2736670343690815,
      6.103723845398896,
      5.936058494562523,
      5.770345574158573,
      5.606331229208147,
      5.443838386848416,
      5.282764724728282,
      5.123087197001424,
      4.964855428518772,
      4.808185638424993,
      4.653252691615662,
      4.5002957875144425,
      4.349605181759139,
      4.201517045855486,
      4.056425839039171,
      3.9147434464220194,
      3.776873886394125,
      3.6432003115830454,
      3.514074050978637,
      3.3898075803604097,
      3.270665524516513,
      3.156856935064503,
      3.0485333280182902,
      2.9457874813014095,
      2.8486466073442225,
      2.757072940819265,
      2.6709675764711562,
      2.590186237114659,
      2.514536507254903,
      2.4437841757534637,
      2.377684057836531,
      2.3159625744492143,
      2.2583136680108025,
      2.204412193875306,
      2.153887775638607,
      2.106353049387987,
      2.061454995008153,
      2.0188629626089,
      1.9782725514353017,
      1.9394204037566871,
      1.9020955058225657,
      1.866132495924008,
      1.8313974897251382,
      1.7977748867470995,
      1.7651680588049028,
      1.7334995938487125,
      1.7027061235275136,
      1.672734647605889,
      1.643539908647603,
      1.6150825131817417,
      1.5873262809335549,
      1.5602364722655189,
      1.5337821529992555,
      1.5079357973973262,
      1.4826725268656158,
      1.457969568583216,
      1.4338058644015275,
      1.4101617871303778,
      1.3870189294790563,
      1.3643603285956991,
      1.342170981058297,
      1.320436975388438,
      1.2991446763691021,
      1.2782807248055132,
      1.2578321248263769,
      1.2377862942621212,
      1.2181310906434788,
      1.198854820974785,
      1.1799462416881883,
      1.1613945504355794,
      1.1431893737946712,
      1.1253210302668593,
      1.1077811105790811,
      1.0905616548089674,
      1.0736560386582898,
      1.0570583765243744,
      1.0407622307478122,
      1.02476080894622,
      1.0090471677607031,
      0.9936143482259837,
      0.9784554637161904,
      0.9635643291097152,
      0.9489364367708817,
      0.9345670624275993,
      0.9204510466747425,
      0.9065830061889921,
      0.8929574728399999,
      0.8795689843139116,
      0.8664121425050707,
      0.8534816503787744,
      0.8407723340970302,
      0.8282791556425404,
      0.8159972186062313,
      0.8039217704995613,
      0.7920482018355122,
      0.7803720438396791,
      0.7688889650666393,
      0.7575947666317092,
      0.7464853785076867,
      0.7355568544236238,
      0.7248053675785646,
      0.7142272058689729,
      0.703818767920462,
      0.6935765585906547,
      0.6834971847204442,
      0.6735773511679279,
      0.6638138569042484,
      0.6542035919663314,
      0.6447435075731001,
      0.6354305900841501,
      0.6262619236109072,
      0.6172346919799923,
      0.6083461682001547,
      0.5995937069412948,
      0.5909747387351633,
      0.5824867651449204,
      0.574127355168802,
      0.5658937232219898,
      0.5577828926865751,
      0.5497921727789316,
      0.5419190903945047,
      0.5341613361742592,
      0.5265167271703518,
      0.5189831805418809,
      0.511558695901537,
      0.5042413425313068,
      0.49702925014552646,
      0.48992060234580126,
      0.48291363143661253,
      0.47600661515780873,
      0.4691978733504712,
      0.46248576585468143,
      0.45586869052274265,
      0.4493450816075488,
      0.44291340814752045,
      0.4365721729888319,
      0.43031991143274406,
      0.4241551901736989,
      0.4180766063796646,
      0.412082786614268,
      0.40617238611321616,
      0.40034408770727764,
      0.39459660118338846,
      0.38892866242620194,
      0.38333903285318194,
      0.37782649845887273,
      0.3723898692090209,
      0.3670279784318181,
      0.36173984727082753,
      0.35652468242000657,
      0.3513814158875326,
      0.34630883746761115,
      0.3413058052214082,
      0.33637122234091316,
      0.33150402848071114,
      0.326703532783006,
      0.3219693503906462,
      0.3173010800078002,
      0.3126982767083953,
      0.30816032248372804,
      0.3036864849655801,
      0.29927596050731264,
      0.29492790301058514,
      0.29064144338900716,
      0.28641570214678785,
      0.2822498266956177,
      0.2781430706585555,
      0.27409467849857627,
      0.27010386236208556,
      0.26616981748353974,
      0.2622917322652947,
      0.2584690025360259,
      0.25470125163658347,
      0.25098798853188575,
      0.2473286159917514,
      0.24372246978563702,
      0.24016884494550944,
      0.23666701334322215,
      0.23321623546126094,
      0.22981576840000448,
      0.22646487082644381,
      0.22316280666592744,
      0.2199088472336729,
      0.2167022726170251,
      0.21354230424102308,
      0.2104281343366199,
      0.20735900385067466,
      0.2043341908334049,
      0.2013530016635273,
      0.1984147650191986,
      0.19551882812812385,
      0.1926645536927953,
      0.18985131811637446,
      0.18707851008203352,
      0.18434552960799944,
      0.18165178729578335,
      0.17899670387111322,
      0.17637970966044234,
      0.1738002441032487,
      0.1712577558459077,
      0.16875170237500137,
      0.16628154960279903,
      0.16384677186149701,
      0.1614468516708308,
      0.1590812796412621,
      0.15674955422638767,
      0.15445118172523487,
      0.15218567610174624,
      0.14995255862147597,
      0.14775135788985988,
      0.14558160982161786,
      0.14344285749708977,
      0.1413346508098128,
      0.13925654654047367,
      0.1372081082854695,
      0.1351889060997223,
      0.13319851662288015,
      0.13123652284981346,
      0.12930251407884255,
      0.12739608575188824,
      0.12551683936398322,
      0.1236643824995256,
      0.1218383285946744,
      0.12003829678159726,
      0.11826391192208127,
      0.11651480446831876,
      0.11479061043070543,
      0.11309097107674125,
      0.11141553316238612,
      0.10976394859554828,
      0.10813587448569195,
      0.10653097294261978,
      0.10494891115311182,
      0.10338936111774409,
      0.10185199974710928,
      0.10033650856740749,
      0.09884257399495021,
      0.09736988695902506,
      0.09591814294095938,
      0.09448704181869708,
      0.09307628786617768,
      0.09168558981238739,
      0.09031466049571729,
      0.08896321704806731,
      0.08763098074368421,
      0.08631767686249155,
      0.08502303461196187,
      0.08374678722806303,
      0.08248867189321797,
      0.08124842954406657,
      0.08002580492156097,
      0.07882054635766912,
      0.07763240599195206,
      0.07646113947306042,
      0.07530650596926829,
      0.0741682681053591,
      0.07304619109501871,
      0.07194003432244028,
      0.07084955786934591,
      0.0697745297978054,
      0.06871472454532038,
      0.06766992173267002,
      0.06663990551268595,
      0.06562446413603634,
      0.06462338945631711,
      0.06363647658824824,
      0.06266352391491603,
      0.061704333015152796,
      0.060758708395883376,
      0.05982645751203729,
      0.05890739050793022,
      0.058001320353620565,
      0.05710806264486701,
      0.05622743568340528,
      0.05535926028408284,
      0.05450335997324387,
      0.05365956071676368,
      0.052827691039117636,
      0.052007581862408545,
      0.051199066529449486,
      0.05040198075949583,
      0.04961616262898263,
      0.048841452583260385,
      0.04807769328873824,
      0.04732472958895435,
      0.04658240867875461,
      0.045850579781411716,
      0.04512909432037739,
      0.04441780584485483,
      0.04371656999510247,
      0.0430252445011986,
      0.042343689059505696,
      0.041671765331030265,
      0.04100933692802953,
      0.04035626961187585,
      0.03971243086596059,
      0.03907769009241143,
      0.03845191862528966,
      0.03783498949000895,
      0.03722677760241057,
      0.03662715960558197,
      0.0360360138504481,
      0.03545322053531311,
      0.03487866158874637,
      0.0343122204921269,
      0.0337537824739581,
      0.03320323442161715,
      0.03266046459259579,
      0.032125362976885063,
      0.03159782122036883,
      0.031077732376860772,
      0.03056499107885739,
      0.030059493517325717,
      0.029561137236630772,
      0.0290698212557478,
      0.028585446049123314,
      0.028107913456756624,
      0.02763712677127307,
      0.02717299055702412,
      0.02671541086233743,
      0.026264295004729984,
      0.0258195516285227,
      0.025381090589049693,
      0.024948823179084288,
      0.024522661813588767,
      0.024102520240490026,
      0.02368831336237759,
      0.02327995725325972,
      0.022877369205389388,
      0.022480467660165843,
      0.0220891723212717,
      0.021703404018562543,
      0.02132308460806493,
      0.020948137066806104,
      0.020578485547449565,
      0.02021405513208001,
      0.01985477203509111,
      0.01950056360670361,
      0.01915135815033377,
      0.01880708503609396,
      0.018467674544806866,
      0.018133057881361686,
      0.01780316734404053,
      0.01747793613554897,
      0.01715729848934968,
      0.016841189488154718,
      0.01652954518500908,
      0.016222302397118173,
      0.015919398948075175,
      0.015620773608629367,
      0.01532636597110769,
      0.015036116365359155,
      0.014749966095556042,
      0.014467857292699596,
      0.01418973277696955,
      0.013915536316989005,
      0.013645212421931998,
      0.013378706333804665,
      0.013115964162819987,
      0.012856932695078583,
      0.012601559527335736,
      0.012349793472057443,
      0.012101586067765669,
      0.011856889836937171,
      0.011615657126819572,
      0.011377840183405447,
      0.011143391479192789,
      0.010912263889460693,
      0.010684410704660705,
      0.010459785796812116,
      0.010238343610509152,
      0.010020039155815055,
      0.009804828073542176,
      0.009592666594845665,
      0.009383511490358513,
      0.009177320154979754,
      0.00897405066969475,
      0.00877366163092893,
      0.008576112197883998,
      0.008381362110287076,
      0.008189371689702336,
      0.00800010179182887,
      0.007813513977408556,
      0.007629570208619276,
      0.007448233068729349,
      0.0072694656791102265,
      0.0070932315352069085,
      0.006919494668744713,
      0.006748219729296549,
      0.006579371832548153,
      0.006412916614425075,
      0.006248820102630144,
      0.006087048945912552,
      0.005927570225689671,
      0.0057703513653230174,
      0.005615360352051242,
      0.005462565578617897,
      0.005311935949495003,
      0.005163440860680485,
      0.005017049964608115,
      0.004872733496262685,
      0.004730462054721418,
      0.004590206570371158,
      0.004451938572387877,
      0.004315629930886169,
      0.004181252848200865,
      0.004048779927806758,
      0.003918184219513471,
      0.003789439107323919,
      0.003662518319441736,
      0.003537396060564633,
      0.0034140468151112905,
      0.003292445399873025,
      0.0031725671258794504,
      0.003054387504229578,
      0.002937882423636011,
      0.002823028189187139,
      0.0027098014803305075,
      0.0025981793611916833,
      0.0024881389486262053,
      0.0023796578759863424,
      0.0022727140080543006,
      0.002167285519502259,
      0.002063350955529903,
      0.001960889198576001,
      0.001859879353634905,
      0.001760300767885619,
      0.001662133216888726,
      0.0015653566979315797,
      0.001469951574194474,
      0.0013758983831463768,
      0.0012831779954693592,
      0.0011917715017292054,
      0.0011016602209759964,
      0.001012825824507256,
      0.0009252502576108014,
      0.0008389156051083637,
      0.0007538042816209614,
      0.0006698989692231353,
      0.0005871827018109586,
      0.0005056385823568777,
      0.00042524992665343085,
      0.00034600038837741276,
      0.00026787386313516833,
      0.00019085436806984572,
      0.0001149262846285976,
      4.0074099752755924e-05,
      -3.371744503650906e-05,
      -0.0001064632797456005,
      -0.00017817828117887993,
      -0.0002488770765350074,
      -0.0003185740946322451,
      -0.00038728350807022954,
      -0.0004550192380019223,
      -0.0005217951741097379,
      -0.0005876248665025643,
      -0.000652521699851582,
      -0.0007164990032130284,
      -0.0007795697460806639,
      -0.0008417467165339977,
      -0.0009030426604961677,
      -0.0009634700647152784
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566912421021263,
      10.337215487934849,
      10.099915343994333,
      9.85797644791281,
      9.613813108662365,
      9.369518061554032,
      9.126905345361514,
      8.887471300207501,
      8.652406805252813,
      8.42261695050566,
      8.19872324119419,
      7.9810797629894425,
      7.769800571813075,
      7.56479614258463,
      7.365813717857526,
      7.172475273139861,
      6.984312056909289,
      6.800807350963684,
      6.621431820403835,
      6.445668255024542,
      6.273023337978244,
      6.103047024079001,
      5.935349166873293,
      5.7696046379095876,
      5.60555988803132,
      5.443038169208818,
      5.28193752657131,
      5.1222353238025695,
      4.963981617465019,
      4.807292834569223,
      4.652344157817028,
      4.4993751876529755,
      4.348676604405866,
      4.2005852937595,
      4.055496279158973,
      3.9138213352025497,
      3.775964262095637,
      3.6423079040788533,
      3.513203237913774,
      3.3889624162552106,
      3.2698495435374895,
      3.1560730809830653,
      3.047783942171076,
      2.945074175865796,
      2.8479701384454366,
      2.7564331242045235,
      2.670363608521915,
      2.589616836975384,
      2.513999515646402,
      2.4432771117031407,
      2.377204331333024,
      2.315507384890195,
      2.2578800370173893,
      2.203996835002794,
      2.1534870324383575,
      2.1059635217879915,
      2.0610735376415086,
      2.0184866359574345,
      1.9778988964956918,
      1.939047505929053,
      1.9017219621158767,
      1.8657572720630484,
      1.831019758018939,
      1.797393952169306,
      1.7647834490475558,
      1.7331109997270162,
      1.7023133523670406,
      1.6723375900939406,
      1.6431385148530206,
      1.6146767739801982,
      1.5869162401493122,
      1.559822197271772,
      1.5333637167916578,
      1.5075132769293673,
      1.4822460018800383,
      1.4575391195150984,
      1.4333715720983127,
      1.4097237319961378,
      1.3865771919733765,
      1.3639150089399634,
      1.341722208355691,
      1.3199848730063075,
      1.2986893513642717,
      1.2778222728800457,
      1.2573706333139083,
      1.2373218446176968,
      1.2176637594685493,
      1.1983846813561576,
      1.1794733641883477,
      1.160919003529853,
      1.1427112245682536,
      1.1248403727403116,
      1.10729804036378,
      1.0900762693695363,
      1.07316858979984,
      1.0565691215963726,
      1.0402713615006338,
      1.024268471289125,
      1.0085534769715145,
      0.9931193985126572,
      0.9779593344835266,
      0.9630673383996331,
      0.9484389161732854,
      0.9340692451486481,
      0.9199530998647409,
      0.9060850520399929,
      0.8924596031209746,
      0.8790712705062446,
      0.865914642423012,
      0.8529844122539751,
      0.8402753998154111,
      0.8277825628849756,
      0.8155010024075019,
      0.8034259636692737,
      0.791552835564314,
      0.7798771482386682,
      0.7683945691832227,
      0.757100898934199,
      0.7459920671790174,
      0.7350641272359933,
      0.7243132519085745,
      0.713735729108106,
      0.7033279570605031,
      0.693086440103559,
      0.6830077846046371,
      0.673088695237569,
      0.6633259708396003,
      0.6537165008963651,
      0.6442572344768145,
      0.6349451575090644,
      0.6257773544144656,
      0.6167510089947413,
      0.6078633943228218,
      0.59911186490877,
      0.590493851044793,
      0.582006854169376,
      0.5736484428560042,
      0.5654158755883593,
      0.557306179927199,
      0.5493166485827466,
      0.5414447972170753,
      0.533688308737409,
      0.5260449946581246,
      0.5185127685173548,
      0.5110896272131635,
      0.5037736380772114,
      0.49656292944701197,
      0.48945568375385284,
      0.48245013240527856,
      0.4755445523309102,
      0.468737262869013,
      0.46202662330080374,
      0.45541103113677356,
      0.4488889201677016,
      0.4424587591229178,
      0.4361190504326108,
      0.42986832897036603,
      0.42370516095976285,
      0.4176281432014614,
      0.41163590201482325,
      0.4057270921024387,
      0.39990039605216565,
      0.3941545232350815,
      0.3884882092983211,
      0.38290021508617256,
      0.3773893263148262,
      0.3719543527076359,
      0.3665941416993974,
      0.36130779017661063,
      0.3560944899357726,
      0.35095314445368037,
      0.34588253068051333,
      0.3408814934281422,
      0.3359489267494058,
      0.33108378777811337,
      0.3262854852342076,
      0.32155362883388167,
      0.31688780194394345,
      0.3122875221798104,
      0.30775214198975775,
      0.3032809090666944,
      0.2988730063761921,
      0.2945275789083793,
      0.2902437512993502,
      0.28602063987524284,
      0.281857403802471,
      0.27775329964198453,
      0.27370756384949835,
      0.2697194031217196,
      0.2657880089634313,
      0.2619125673181901,
      0.2580925008658372,
      0.25432743399337493,
      0.2506168640223095,
      0.24696018590043148,
      0.24335673019479945,
      0.23980578834044727,
      0.2363066297700582,
      0.23285851332994792,
      0.22946069488485316,
      0.22611243231128403,
      0.22281298901907265,
      0.21956163583735286,
      0.2163576494435384,
      0.2132002441082705,
      0.21008861467597859,
      0.20702200467075418,
      0.20399969382896357,
      0.201020989621788,
      0.1980852216364004,
      0.1951917375480084,
      0.19233990051649663,
      0.18952908713287797,
      0.18675868634183385,
      0.18402809821659952,
      0.18133673342265533,
      0.1786840125544911,
      0.17606936605571494,
      0.17349223345077366,
      0.1709520633177568,
      0.16844831311123845,
      0.165980448797554,
      0.163547944663974,
      0.1611502832762623,
      0.15878695529218037,
      0.15645745919426987,
      0.15416130116417193,
      0.1518979950982246,
      0.1496670623451588,
      0.14746803168663794,
      0.1453004389949636,
      0.1431638272668241,
      0.1410577464545297,
      0.1389817533042848,
      0.1369354113347054,
      0.13491829067616684,
      0.13292996809514068,
      0.13097002654812548,
      0.1290380553267157,
      0.12713364992248782,
      0.12525641191103298,
      0.12340594888612583,
      0.12158187423476302,
      0.11978380713956248,
      0.11801137259322635,
      0.11626420101136015,
      0.11454192833958882,
      0.11284419603207692,
      0.11117065081864057,
      0.1095209446542224,
      0.1078947346155713,
      0.10629168282070837,
      0.10471145647960836,
      0.10315372774534058,
      0.10161817354989076,
      0.10010447557054616,
      0.09861232011641226,
      0.09714139820881523,
      0.09569140543609338,
      0.09426204170270104,
      0.09285301141950669,
      0.09146402327673137,
      0.09009479014634506,
      0.08874502926596124,
      0.08741446183962105,
      0.0861028133018022,
      0.08480981301035194,
      0.083535194233584,
      0.082278694144489,
      0.08104005370147126,
      0.07981901766961842,
      0.07861533458571447,
      0.07742875659993313,
      0.07625903935240372,
      0.07510594212347842,
      0.07396922763067318,
      0.07284866210585808,
      0.07174401506017748,
      0.070655059340941,
      0.0695815712071227,
      0.06852333009229294,
      0.06748011859291599,
      0.06645171570749869,
      0.06543789776388836,
      0.06443844799201169,
      0.06345315598825106,
      0.06248181635898948,
      0.0615242281720935,
      0.06058019426904449,
      0.05964952100799209,
      0.058732017851435135,
      0.057827497347002266,
      0.05693577494493102,
      0.05605666882950003,
      0.05518999980529678,
      0.054335591400072734,
      0.05349326956721547,
      0.05266286287777536,
      0.05184420236614531,
      0.05103712148347406,
      0.050241456104767414,
      0.04945704440500769,
      0.04868372686827321,
      0.04792134625446938,
      0.04716974752694049,
      0.0464287778839846,
      0.04569828676364335,
      0.04497812575540266,
      0.04426814855492096,
      0.043568210866348475,
      0.04287817050316964,
      0.04219788729025317,
      0.041527223024512123,
      0.04086604141445063,
      0.04021420827185949,
      0.03957159121530645,
      0.03893805975299826,
      0.03831348519426388,
      0.037697740857864245,
      0.03709070179773393,
      0.03649224471690172,
      0.035902248193340994,
      0.03532059235568311,
      0.034747159169843174,
      0.034181832369972256,
      0.033624497163878955,
      0.03307504044684652,
      0.03253335085309483,
      0.03199931847389805,
      0.03147283493125683,
      0.030953793386984115,
      0.0304420885678842,
      0.02993761665662537,
      0.029440275392132554,
      0.02894996380646121,
      0.028466582530432778,
      0.027990033595898526,
      0.027520220294562907,
      0.027057047340920726,
      0.02660042084293802,
      0.026150248234052747,
      0.025706438165555488,
      0.02526890061390723,
      0.024837546871891793,
      0.024412289621468294,
      0.023993042662302858,
      0.023579720917802822,
      0.023172240598606366,
      0.022770519141605713,
      0.022374475122359697,
      0.021984028330717147,
      0.021599099552088073,
      0.02121961077277069,
      0.02084548504626225,
      0.020476646541730602,
      0.020113020520583186,
      0.01975453329833847,
      0.01940111220400128,
      0.01905268567082874,
      0.01870918311487694,
      0.01837053498310465,
      0.018036672544357403,
      0.017707528160896293,
      0.017383035175962666,
      0.017063127703521357,
      0.01674774094889758,
      0.016436811043950263,
      0.016130275095701162,
      0.01582807084444487,
      0.015530137036820628,
      0.01523641337637746,
      0.014946840350963055,
      0.0146613593684062,
      0.01437991253938399,
      0.014102442883188048,
      0.013828894148684774,
      0.013559210994698503,
      0.013293338690103105,
      0.013031223338369575,
      0.012772811850617032,
      0.012518051864529334,
      0.012266891914467132,
      0.012019283130975942,
      0.011775178483776147,
      0.011534530446867296,
      0.011297291429583552,
      0.01106341415598682,
      0.01083285158103075,
      0.010605557157792617,
      0.010381484839160042,
      0.010160589050113864,
      0.009942824909548158,
      0.009728148187726555,
      0.00951651510746402,
      0.009307882566651847,
      0.009102208000967999,
      0.008899449630420492,
      0.00869956601546994,
      0.008502516314333543,
      0.008308260421617312,
      0.00811675882381935,
      0.007927972329623254,
      0.007741862552418261,
      0.007558391536766421,
      0.007377521857807595,
      0.0071992166842135006,
      0.007023439519141926,
      0.006850154464217007,
      0.006679326192995766,
      0.00651091997791999,
      0.0063449014456304015,
      0.006181236709560269,
      0.006019892370275816,
      0.005860835626235789,
      0.005704034024056253,
      0.0055494555667730625,
      0.005397068753468675,
      0.005246842544731137,
      0.005098746234334747,
      0.004952749602430829,
      0.0048088229751555665,
      0.004666937005998478,
      0.004527062675523238,
      0.004389171457147848,
      0.004253235243297886,
      0.004119226394218323,
      0.003987117489525668,
      0.0038568815831526125,
      0.0037284921483927754,
      0.0036019230374892317,
      0.00347714846804086,
      0.0033541429726532423,
      0.0032328814198922394,
      0.003113339119100938,
      0.0029954917044760034,
      0.0028793151602011617,
      0.0027647857389807877,
      0.002651880110562589,
      0.0025405752700286594,
      0.0024308485238857427,
      0.0023226774773439525,
      0.002216040035420545,
      0.002110914526174625,
      0.0020072795392707815,
      0.0019051138228458272,
      0.0018043965627120902,
      0.0017051072623875739,
      0.0016072256563471731,
      0.0015107318085860863,
      0.00141560602147935,
      0.0013218289240867786,
      0.0012293813959849214,
      0.0011382446193654487,
      0.0010483999352305733,
      0.0009598290946858779,
      0.0008725140599521362,
      0.0007864369780584326,
      0.0007015802507899779,
      0.0006179265928929274,
      0.0005354589003399861,
      0.0004541604950846027,
      0.0003740147095615591,
      0.0002950052158973809,
      0.00021711593617345867,
      0.00014033098571955663,
      6.463470616483421e-05,
      -9.988415093059371e-06,
      -8.35535959338693e-05,
      -0.00015607582557837683,
      -0.00022756975163976606,
      -0.00029805008764406817,
      -0.0003675311425617234,
      -0.0004360270617247947,
      -0.0005035518631893828,
      -0.0005701192828055704,
      -0.0006357428916704001,
      -0.0007004360859648437,
      -0.0007642120631784962,
      -0.0008270838610931533,
      -0.0008890642246051736,
      -0.0009501658593692831,
      -0.0010104012270919973
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56690912156244,
      10.337199214483876,
      10.099878048613819,
      9.857912532015835,
      9.613718421668288,
      9.369389471007688,
      9.126741082962562,
      8.887270945967472,
      8.65217048395197,
      8.422345113242429,
      8.198416501136892,
      7.980738765085788,
      7.769425901395809,
      7.564388257227783,
      7.365372927524319,
      7.17200164276782,
      6.983805368342623,
      6.800267371622277,
      6.620858342869755,
      6.445061194315182,
      6.272382935429764,
      6.102373723644404,
      5.934643586089666,
      5.768867674647467,
      5.604792746222357,
      5.442242376513245,
      5.281114975757954,
      5.121388316009047,
      4.963112884834558,
      4.806405316740669,
      4.651441109660008,
      4.498460261011398,
      4.3477538699855325,
      4.199659667754973,
      4.054573083104273,
      3.912905781850555,
      3.7750613457426487,
      3.641422312053468,
      3.5123393394651288,
      3.3881242506176066,
      3.269040599453166,
      3.155296260367349,
      3.0470415484683735,
      2.9443677870079905,
      2.8473004410644385,
      2.7557998788785425,
      2.6697660077491285,
      2.5890535905303085,
      2.5134684602734265,
      2.442775774430006,
      2.3767301308139968,
      2.3150575313036073,
      2.2574515630825536,
      2.2035864571554717,
      2.153091102092242,
      2.1055786567660872,
      2.0606966110554854,
      2.018114726152207,
      1.9775295585636268,
      1.9386788371082602,
      1.9013525693368973,
      1.8653861291279377,
      1.8306460490178973,
      1.797016997972693,
      1.7644027879860313,
      1.732726330507113,
      1.7019244877899404,
      1.6719444249040887,
      1.6427410019449644,
      1.614274907742145,
      1.5865100669642442,
      1.559411785851871,
      1.5329491419198031,
      1.507094616716639,
      1.4818233363336342,
      1.4571125300601482,
      1.4329411397634053,
      1.4092895376682681,
      1.386139316583787,
      1.3634735529082302,
      1.3412773011090873,
      1.3195366384058507,
      1.2982378971230593,
      1.277367695614312,
      1.256913021014745,
      1.236861278829601,
      1.217200317478417,
      1.1979184372723082,
      1.179004389112062,
      1.1604473663946189,
      1.1422369925265656,
      1.1243636398909471,
      1.1068189026560102,
      1.0895948966281939,
      1.072685269756198,
      1.0560840749267664,
      1.0397847539477518,
      1.0237804318966992,
      1.008064109342474,
      0.9926287888186115,
      0.9774675569475967,
      0.9625747067375643,
      0.9479457593047936,
      0.9335757946962914,
      0.9194595216592307,
      0.905591467413784,
      0.891966103588927,
      0.8785779273867995,
      0.8654215134022241,
      0.8524915460252126,
      0.8397828387528402,
      0.8272903450793987,
      0.8150091625601468,
      0.8029345346777483,
      0.7910618488707647,
      0.7793866340601787,
      0.7679045574909293,
      0.7566114190973298,
      0.7455031475957785,
      0.7345757959686099,
      0.7238255366447572,
      0.7132486570856622,
      0.7028415552345709,
      0.6926007352268889,
      0.6825228030420293,
      0.672604462973916,
      0.6628425134259652,
      0.6532338434870634,
      0.6437754002792769,
      0.6344641694497932,
      0.6252972357259101,
      0.6162717829303365,
      0.6073850838378662,
      0.5986344928665149,
      0.5900174401858334,
      0.5815314267672221,
      0.5731740209235798,
      0.5649425257249155,
      0.5568339727420414,
      0.5488456382133479,
      0.5409750263724293,
      0.5332198121714896,
      0.5255778016943841,
      0.5180469049394056,
      0.5106251160426792,
      0.503310500260714,
      0.49610118424972616,
      0.4889953494729246,
      0.48199122687044704,
      0.4750870925328682,
      0.46828126501213646,
      0.46157210317853536,
      0.45495800388991403,
      0.44843740059501724,
      0.44200876157872004,
      0.43567058884485854,
      0.4294214168273765,
      0.4232598114944636,
      0.417184369264774,
      0.41119371604543486,
      0.40528650614152784,
      0.3994614216507531,
      0.3937171717629504,
      0.38805249161217165,
      0.38246614182827204,
      0.37695690777465646,
      0.3715235986531761,
      0.3661651048941323,
      0.3608805837724689,
      0.35566918628771377,
      0.3505297914846024,
      0.345461164139748,
      0.3404621384410015,
      0.335531601080411,
      0.3306685640011311,
      0.3258725167844342,
      0.32114303305100333,
      0.3164796845005021,
      0.31188195071720737,
      0.30734915871818075,
      0.30288053909126605,
      0.2984752632476556,
      0.2941324681688198,
      0.28985127336004557,
      0.2856307916508882,
      0.28147019639697246,
      0.27736874407620316,
      0.2733256636106702,
      0.26934015663953853,
      0.26541141121216266,
      0.26153861094574704,
      0.257721205018746,
      0.253958819081843,
      0.2502509390539084,
      0.2465969521986538,
      0.2429961836871274,
      0.239447921417353,
      0.2359514324160081,
      0.23250597388760746,
      0.22911080050571087,
      0.22576516946377734,
      0.2224683436230761,
      0.2192195934970324,
      0.21601819102322972,
      0.21286334405613458,
      0.20975425099315967,
      0.20669015783425368,
      0.20367034592709093,
      0.20069412376183596,
      0.19776082164703412,
      0.1948697878235269,
      0.19202038577260477,
      0.18921199234105215,
      0.1864439964976202,
      0.1837157983997242,
      0.18102680881850924,
      0.17837644851276122,
      0.17576414770345924,
      0.17318934597829266,
      0.17065149194535706,
      0.16815004297904065,
      0.16568446515312987,
      0.1632542327378613,
      0.1608588282010748,
      0.15849774225609636,
      0.15617047334569298,
      0.1538765277319934,
      0.15161541930171873,
      0.1493866694367026,
      0.14718980684781208,
      0.14502436747968564,
      0.14288989428959806,
      0.14078593726268804,
      0.1387120531732026,
      0.1366678055818736,
      0.13465276466229184,
      0.13266650704008767,
      0.13070861577234782,
      0.12877868021244032,
      0.12687629582410975,
      0.1250010643064641,
      0.12315259324216811,
      0.1213304960179887,
      0.11953439182701661,
      0.11776390558106514,
      0.11601866779633457,
      0.11429831451608209,
      0.11260248720642431,
      0.11093083266318131,
      0.10928300286574809,
      0.10765865494376797,
      0.10605745110262703,
      0.10447905861068088,
      0.1029231496250409,
      0.1013894010334335,
      0.0998774945917593,
      0.09838711671540123,
      0.09691795833712995,
      0.09546971513041454,
      0.0940420871756968,
      0.09263477885226572,
      0.09124749891008511,
      0.08987996027648747,
      0.08853188022099161,
      0.08720298007720122,
      0.0858929852843205,
      0.08460162514672054,
      0.08332863309421118,
      0.08207374637455277,
      0.08083670602030654,
      0.079617256898791,
      0.07841514755335773,
      0.07723013016892236,
      0.07606196041996136,
      0.07491039760486823,
      0.07377520459886605,
      0.07265614767060478,
      0.07155299641587591,
      0.07046552374793537,
      0.0693935059761772,
      0.06833672253116088,
      0.06729495611802626,
      0.06626799263042348,
      0.0652556208630322,
      0.06425763269893756,
      0.06327382307319857,
      0.06230398982014243,
      0.06134793307423558,
      0.060405447764321205,
      0.05947632940308257,
      0.05856038030741626,
      0.05765740826919174,
      0.056767225584440376,
      0.0558896484176455,
      0.05502449622849665,
      0.054171591614940645,
      0.05333076008830792,
      0.05250182992966482,
      0.0516846319230801,
      0.05087899946059052,
      0.05008476839939699,
      0.049301776928622025,
      0.048529865536874245,
      0.047768877080805384,
      0.04701865674165595,
      0.046279051783999194,
      0.04554991172632259,
      0.04483108822421997,
      0.0441224350094529,
      0.04342380792607161,
      0.04273506498713009,
      0.04205606609932751,
      0.04138667319272366,
      0.04072675009376362,
      0.04007616267297055,
      0.03943477864408006,
      0.03880246771083879,
      0.03817910142521062,
      0.037564552963862755,
      0.03695869741968085,
      0.036361411766714716,
      0.0357725745683005,
      0.03519206621934751,
      0.03461976876608032,
      0.03405556596132848,
      0.03349934321834006,
      0.032950987538887096,
      0.03241038749531652,
      0.031877433275972575,
      0.03135201668900953,
      0.030834031086730867,
      0.03032337130848096,
      0.02981993365166648,
      0.02932361581657648,
      0.028834317079083138,
      0.028351938049673512,
      0.02787638086418838,
      0.02740754895387543,
      0.026945347106614784,
      0.026489681603832665,
      0.026040459828367068,
      0.025597590602335997,
      0.025160984065667677,
      0.024730551661776262,
      0.02430620593750328,
      0.02388786080526519,
      0.023475431422489257,
      0.023068834037682912,
      0.02266798612070875,
      0.022272806300604343,
      0.021883214339693004,
      0.021499131245650432,
      0.021120479222978227,
      0.02074718139394895,
      0.020379161866506165,
      0.02001634606689149,
      0.01965866042827529,
      0.019306032408278613,
      0.018958390325521712,
      0.018615663753024068,
      0.018277783236105984,
      0.017944680134787113,
      0.017616286920956088,
      0.01729253693913992,
      0.016973364507989516,
      0.016658704968337348,
      0.016348494378606398,
      0.01604266984332423,
      0.01574116943842076,
      0.015443931866461688,
      0.015150896922743264,
      0.014862005195423507,
      0.014577198055513059,
      0.01429641770676292,
      0.01401960725165244,
      0.013746710652959413,
      0.013477672418347823,
      0.0132124380255337,
      0.012950953638457793,
      0.012693166201368376,
      0.012439023491633594,
      0.012188474004147593,
      0.011941468281771667,
      0.011697959294401582,
      0.011457899817970123,
      0.01122124251675372,
      0.01098794029851619,
      0.010757946237616736,
      0.010531213874429271,
      0.010307697383222854,
      0.010087351258298597,
      0.00987013069572707,
      0.009655991455516065,
      0.00944488986610767,
      0.009236782926669627,
      0.009031628246566583,
      0.008829383789858026,
      0.008630008352957502,
      0.008433461326578396,
      0.008239702510999545,
      0.008048692378087873,
      0.007860391928991458,
      0.007674762693755366,
      0.007491766745727313,
      0.007311366769096184,
      0.007133525912352701,
      0.006958207955506295,
      0.006785377148704503,
      0.006614998027496441,
      0.006447035865349857,
      0.006281456435369936,
      0.0061182258378921365,
      0.005957310812822123,
      0.005798678456342296,
      0.005642296409818393,
      0.0054881328099788615,
      0.005336156124587219,
      0.005186335308450139,
      0.005038639770974931,
      0.004893039428005299,
      0.004749504577257829,
      0.004608005896318761,
      0.0044685144420240535,
      0.004331001791340289,
      0.0041954398788084084,
      0.004061801064652172,
      0.003930058026191601,
      0.0038001838732174206,
      0.0036721521760937677,
      0.0035459366710919264,
      0.003421511539071755,
      0.003298851475901039,
      0.0031779314021000466,
      0.003058726695368276,
      0.0029412130174941535,
      0.0028253663589113453,
      0.0027111630206164625,
      0.002598579781910869,
      0.0024875936376994915,
      0.0023781818160927026,
      0.0022703220836781833,
      0.0021639924735717122,
      0.0020591712309961695,
      0.0019558369632718896,
      0.0018539686259366672,
      0.0017535452745869298,
      0.0016545464534535996,
      0.0015569519814045475,
      0.0014607419618733312,
      0.0013658967110966342,
      0.0012723968844249034,
      0.0011802234257614786,
      0.0010893575247394654,
      0.0009997805679828457,
      0.0009114743335221934,
      0.0008244207346500695,
      0.0007386021433374853,
      0.0006540009710729131,
      0.0005705999371257847,
      0.0004883819561506246,
      0.0004073302744426289,
      0.0003274283534479559,
      0.0002486598939780859,
      0.0001710088611283616,
      9.445941499546196e-05,
      1.8995842237121466e-05,
      -5.539721948443322e-05,
      -0.00012873500726595405,
      -0.00020103253353237656,
      -0.0002723045433318416,
      -0.00034256547679966157,
      -0.0004118296912982408,
      -0.00048011134592611487,
      -0.0005474243362863927,
      -0.000613782469880709,
      -0.0006791992276761327,
      -0.0007436880207835861,
      -0.0008072619692823413,
      -0.0008699341257449402,
      -0.0009317172400220589,
      -0.0009926239048456335,
      -0.0010526665925573422
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566905834310651,
      10.337183000206846,
      10.09984088801054,
      9.85784884271226,
      9.61362406314403,
      9.369261322758305,
      9.126577387074057,
      8.887071292335392,
      8.651935003859831,
      8.42207426170316,
      8.198110894205326,
      7.980399049242813,
      7.769052663044593,
      7.563981955998503,
      7.364933874570212,
      7.171529905385469,
      6.983300732126487,
      6.799729606397125,
      6.620287244817528,
      6.444456681000526,
      6.271745266922625,
      6.10170334480227,
      5.933941114574635,
      5.768134008427867,
      5.604029088126094,
      5.441450253943694,
      5.280296279567863,
      5.120545344652127,
      4.962248366268781,
      4.80552218593527,
      4.650542615455686,
      4.497550046030641,
      4.346835989745993,
      4.1987390619056635,
      4.053655044062252,
      3.9119954931139485,
      3.774163772520044,
      3.640542112550548,
      3.511480860370173,
      3.3872915070519345,
      3.268237052605351,
      3.154524786421753,
      3.046304428329669,
      2.9436665791040273,
      2.8466358160064993,
      2.75517158721768,
      2.6691732342315655,
      2.5884949738230327,
      2.512941785163482,
      2.442278586902818,
      2.3762598688432695,
      2.31461140919576,
      2.2570266199997757,
      2.2031793832678375,
      2.1526982337446965,
      2.1051966570558536,
      2.0603223668313673,
      2.0177453392489286,
      1.9771626233166548,
      1.9383124812182178,
      1.9009854218341802,
      1.865017180665724,
      1.8302745036336159,
      1.796642197577418,
      1.7640242820024417,
      1.732343825275515,
      1.7015378024117438,
      1.6715534579644011,
      1.642345708885235,
      1.6138752847611204,
      1.5861061614163487,
      1.5590036673951104,
      1.5325368848839918,
      1.50667829934459,
      1.4814030387895065,
      1.4566883335951128,
      1.4325131265287514,
      1.4088577891902794,
      1.3857039130850441,
      1.363034594022718,
      1.3408349161635873,
      1.3190909512350393,
      1.2977890151315514,
      1.276915714266838,
      1.2564580281370825,
      1.2364033558195098,
      1.2167395412387954,
      1.197454881390328,
      1.1785381242322261,
      1.159978461208619,
      1.1417655138526914,
      1.1238896812977042,
      1.1063425600255679,
      1.0891163505556798,
      1.0722048122037988,
      1.055601920404029,
      1.0393010650504477,
      1.0232953355507315,
      1.0075777075483532,
      0.9921411662998563,
      0.9769787866800647,
      0.962085101080975,
      0.9474556456083121,
      0.9330854035553683,
      0.9189690181118187,
      0.9051009726371426,
      0.8914757089673763,
      0.8780877041302035,
      0.864931519107967,
      0.8520018290607765,
      0.8392934411296518,
      0.8268013043329454,
      0.8145205136581788,
      0.8024463103828323,
      0.7905740805442446,
      0.7788993522974115,
      0.7674177915725559,
      0.7561251975708408,
      0.7450174986652629,
      0.7340907476945113,
      0.7233411167256015,
      0.7127648928568902,
      0.7023584735796542,
      0.6921183628332553,
      0.6820411662651997,
      0.6721235875378052,
      0.6623624248754408,
      0.6527545671469264,
      0.6432969593212134,
      0.6339865863529169,
      0.6248205333695652,
      0.615795984407845,
      0.6069102121102847,
      0.5981605706366858,
      0.5895444900178315,
      0.5810594710452425,
      0.5727030815228858,
      0.5644726696458775,
      0.5563652711012109,
      0.548378145176978,
      0.5405087846056748,
      0.5327548565392438,
      0.5251141616327513,
      0.5175846057595556,
      0.5101641805208739,
      0.502850949399052,
      0.4956430378217956,
      0.48853862584714747,
      0.4815359432808702,
      0.47463326567111336,
      0.4678289111034759,
      0.4611212378984325,
      0.4545086424259367,
      0.44798955747330954,
      0.4415624510173646,
      0.4352258245926182,
      0.42897821245427004,
      0.42281818009174166,
      0.41674432346969775,
      0.4107552681363668,
      0.40484966807657724,
      0.3990262050759565,
      0.39328358781164885,
      0.3876205511314468,
      0.3820358552440176,
      0.3765282850787688,
      0.37109664958907074,
      0.36573990489831887,
      0.3604572374084386,
      0.3552477636042751,
      0.3501103385404368,
      0.34504371307851806,
      0.3400467118507421,
      0.3351182149799294,
      0.3302572913394797,
      0.32546350868274715,
      0.32073640512090285,
      0.3160755409212105,
      0.31148035818342285,
      0.30695015875603965,
      0.30248415633029724,
      0.2980815108035191,
      0.29374135156902803,
      0.2894627927844427,
      0.28524494371738196,
      0.28108699220162103,
      0.2769881944622769,
      0.27294777188231095,
      0.2689649210619075,
      0.2650388266378576,
      0.2611686724097731,
      0.25735393268180495,
      0.253594231661072,
      0.24988904443215074,
      0.24623775080722238,
      0.2426396709811922,
      0.2390940894654107,
      0.23560027085123036,
      0.23215747078458104,
      0.228764942944117,
      0.225421943806415,
      0.22212773568816294,
      0.21888158880285502,
      0.21568277041396344,
      0.2125304821904777,
      0.20942392597056866,
      0.2063623500922018,
      0.20334503750334224,
      0.20037129793037284,
      0.19744046225207673,
      0.1945518792250317,
      0.1917049125891196,
      0.18889893931931473,
      0.18613334863629633,
      0.18340754075492938,
      0.18072092646076027,
      0.17807292653420645,
      0.17546297132613006,
      0.1728905004453151,
      0.17035496245597673,
      0.16785581476264788,
      0.16539252326887172,
      0.16296456231814999,
      0.1605714144973326,
      0.15821257034074665,
      0.15588752832800168,
      0.15359579487151226,
      0.15133688375910026,
      0.14911031637327762,
      0.14691562137809566,
      0.14475233482062588,
      0.14261999965498742,
      0.14051816585225307,
      0.13844639028229752,
      0.13640423639259863,
      0.13439127442821572,
      0.13240708102907245,
      0.1304512392852346,
      0.12852333865868434,
      0.12662297463199873,
      0.12474974876293964,
      0.12290326866883913,
      0.12108314788324816,
      0.11928900570595899,
      0.11752046697504942,
      0.11577716225757886,
      0.1140587276320298,
      0.11236480453936591,
      0.11069503988021584,
      0.10904908567185995,
      0.10742659901458888,
      0.10582724218234647,
      0.1042506824063028,
      0.10269659190368757,
      0.10116464775783403,
      0.09965453170648879,
      0.09816593018716915,
      0.09669853426507427,
      0.09525203954449316,
      0.09382614614056176,
      0.09242055853255324,
      0.09103498553401923,
      0.08966914017611849,
      0.08832273971355493,
      0.0869955055561607,
      0.08568716317050257,
      0.0843974419635835,
      0.08312607534601124,
      0.08187280068837192,
      0.08063735907506324,
      0.07941949532292958,
      0.07821895812086982,
      0.07703549974459668,
      0.0758688759017482,
      0.07471884603471583,
      0.07358517308324389,
      0.07246762329157931,
      0.07136596632647757,
      0.07027997530275097,
      0.06920942652211266,
      0.06815409947186124,
      0.06711377689556124,
      0.06608824460207681,
      0.06507729150201841,
      0.06408070972252275,
      0.06309829417396375,
      0.06212984281717766,
      0.06117515655677028,
      0.06023403908860295,
      0.05930629699251708,
      0.05839173962923256,
      0.05749017905380541,
      0.05660143005682605,
      0.05572531010777427,
      0.05486163271012662,
      0.05401020986231161,
      0.0531708598416573,
      0.052343406156870526,
      0.051527676435588005,
      0.05072350188107242,
      0.04993071701914543,
      0.049149159228936166,
      0.048378668500478346,
      0.047619087326205206,
      0.04687026069129215,
      0.046132035796401634,
      0.04540426212320356,
      0.04468679144443368,
      0.04397947754403812,
      0.04328217630109469,
      0.04259474577530958,
      0.04191704598267884,
      0.04124893898745819,
      0.04059028869613708,
      0.039940961119910474,
      0.0393008241775715,
      0.03866974745502897,
      0.03804760265135711,
      0.03743426311419023,
      0.036829604112826556,
      0.036233502708270575,
      0.03564583756367488,
      0.03506648913271123,
      0.03449533962287118,
      0.033932272933520254,
      0.03337717456246425,
      0.032829931575948906,
      0.03229043269579446,
      0.03175856824043367,
      0.03123423012296513,
      0.030717311677116922,
      0.030207707857719507,
      0.029705315129535084,
      0.02921003129171006,
      0.028721755619348588,
      0.028240388940362942,
      0.02776583340073919,
      0.027297992527333698,
      0.026836771334245085,
      0.026382076135828783,
      0.02593381440932064,
      0.025491895113955956,
      0.025056228442781533,
      0.024626725859326203,
      0.024203300171306022,
      0.023785865335644335,
      0.023374336459009774,
      0.02296862998092976,
      0.022568663442013557,
      0.022174355619394764,
      0.021785626424886788,
      0.021402396947861314,
      0.021024589292428363,
      0.02065212682602984,
      0.02028493381568218,
      0.019922935710304984,
      0.019566058988619753,
      0.01921423115749065,
      0.018867380696968576,
      0.018525437219071503,
      0.01818833120464355,
      0.017855994227408307,
      0.017528358850992548,
      0.01720535849845266,
      0.0168869276047873,
      0.01657300146813231,
      0.016263516365240902,
      0.015958409479760564,
      0.015657618859614576,
      0.015361083441395907,
      0.015068742925244245,
      0.014780537984254405,
      0.014496410184047853,
      0.01421630177939316,
      0.013940155920411356,
      0.013667916486687002,
      0.01339952824274447,
      0.01313493667879982,
      0.01287408798758883,
      0.012616929286120487,
      0.012363408369999898,
      0.012113473814047135,
      0.011867075622743762,
      0.011624166739415083,
      0.011384700303977958,
      0.011148629215280523,
      0.010915906513145487,
      0.010686485467794316,
      0.010460319743879355,
      0.010237363525697147,
      0.010017571445515872,
      0.009800898749166663,
      0.009587301273143672,
      0.009376735373020792,
      0.009169158089513896,
      0.008964527056135544,
      0.008762800434716833,
      0.008563937063195137,
      0.00836789617300294,
      0.008174637808062655,
      0.007984122578817955,
      0.007796311546073899,
      0.0076111661889674154,
      0.007428648743621156,
      0.007248721863978109,
      0.007071348939859092,
      0.006896493609699825,
      0.006724120069390783,
      0.006554193059185714,
      0.006386677858742044,
      0.006221540265391544,
      0.006058746631818948,
      0.0058982636384168115,
      0.005740058442402301,
      0.005584098758977401,
      0.005430352696399386,
      0.005278788885216501,
      0.005129376278865607,
      0.0049820843435085535,
      0.0048368830208370935,
      0.00469374264827341,
      0.0045526339698399865,
      0.004413528014922337,
      0.004276396455284889,
      0.004141211309305375,
      0.004007944934051646,
      0.003876570114057997,
      0.00374705994154132,
      0.00361938793359602,
      0.0034935280299738967,
      0.00336945449078436,
      0.003247141992631104,
      0.003126565554633879,
      0.003007700542272996,
      0.0028905225641432776,
      0.0027750076689557375,
      0.0026611322961442832,
      0.002548873214934021,
      0.0024382074586368693,
      0.0023291124446491846,
      0.002221565847387392,
      0.0021155457652245434,
      0.002011030437160447,
      0.00190799859014018,
      0.001806429132871313,
      0.0017063012447830668,
      0.0016075945039989684,
      0.0015102887311545389,
      0.0014143639735519713,
      0.0013198007831155697,
      0.001226579764861239,
      0.0011346818440960483,
      0.0010440883570798567,
      0.0009547806722257559,
      0.0008667405051410732,
      0.000779949923066597,
      0.0006943911665248412,
      0.0006100467447851922,
      0.0005268994881555518,
      0.00044493234698578753,
      0.00036412864919900913,
      0.0002844718375218069,
      0.00020594554447736168,
      0.0001285338335494561,
      5.222088842852873e-05,
      -2.30090045316747e-05,
      -9.717117435810525e-05,
      -0.0001702807659033083,
      -0.00024235259540848194,
      -0.0003134014315584522,
      -0.00038344186876047766,
      -0.00045248818110876744,
      -0.0005205544800241674,
      -0.0005876547507477784,
      -0.0006538026399597963,
      -0.0007190116492846485,
      -0.0007832950674768148,
      -0.0008466659716739694,
      -0.0009091373932914741,
      -0.0009707221847261553,
      -0.0010314328660968423,
      -0.0010912818591093045
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566902562012473,
      10.33716685791506,
      10.09980389051737,
      9.857785429601458,
      9.613530112196901,
      9.369133729031894,
      9.126414403659092,
      8.886872514858707,
      8.65170056784347,
      8.421804625410417,
      8.197806677473665,
      7.980060900644283,
      7.768681170913048,
      7.563577580099721,
      7.36449692708036,
      7.171060454588013,
      6.9827985637181325,
      6.799194493937139,
      6.619718988088867,
      6.4438552009147,
      6.271110825153098,
      6.101036388126501,
      5.933242262654102,
      5.7674041619612995,
      5.603269451472084,
      5.440662353626793,
      5.279482005429703,
      5.119706991894491,
      4.961388658411452,
      4.804644052082096,
      4.649649296761494,
      4.496645175389815,
      4.34592360568693,
      4.1978240807192435,
      4.05274273169681,
      3.911091005046763,
      3.773272046579812,
      3.63966778005724,
      3.5106282407378524,
      3.3864645894504424,
      3.2674392725773798,
      3.153758997450044,
      3.045572890298146,
      2.94297083171932,
      2.8459765168585744,
      2.754548479498927,
      2.66858549792634,
      2.5879412453520585,
      2.512419851327677,
      2.4417859976868352,
      2.3757940665073978,
      2.3141695841698273,
      2.256605796694642,
      2.2027762699855447,
      2.152309187188246,
      2.1048183591044065,
      2.0599517184377976,
      2.0173794567786496,
      1.976799115963737,
      1.9379494881743677,
      1.900621581368373,
      1.864651491160766,
      1.8299061785150617,
      1.7962705913192822,
      1.7636489540120937,
      1.7319644889699366,
      1.7011542814499148,
      1.6711656547873417,
      1.6419535820774638,
      1.6134788318233266,
      1.5857054311903862,
      1.5585987308997202,
      1.5321278179817857,
      1.5062651804514597,
      1.4809859485050263,
      1.456267353201543,
      1.4320883375442794,
      1.4084292733643036,
      1.3852717517141335,
      1.3625988873387984,
      1.3403957931530495,
      1.318648535720559,
      1.2973434148798502,
      1.2764670254749826,
      1.256006337949144,
      1.2359487460247673,
      1.2162820888782098,
      1.1969946599823003,
      1.178075204955207,
      1.1595129130224773,
      1.1412974038291923,
      1.1234191028841567,
      1.1058696089607178,
      1.0886412068067197,
      1.0717277671758143,
      1.0551231883701881,
      1.0388208080261143,
      1.0228136795835046,
      1.007094754372641,
      0.9916570009811349,
      0.9764935568919245,
      0.9615991549835353,
      0.946969271755438,
      0.9325988062161216,
      0.9184823447966658,
      0.9046143326506717,
      0.8909891854617854,
      0.8776013629386568,
      0.8644454142212867,
      0.8515160064888062,
      0.8388079417656152,
      0.8263161652162662,
      0.8140357690124437,
      0.8019619925839445,
      0.7900902209698183,
      0.778415981348189,
      0.7669349388324076,
      0.7556428922070313,
      0.7445357693844574,
      0.7336096224574764,
      0.7228606232887674,
      0.712285058615655,
      0.701879325604317,
      0.6916399275881036,
      0.681563470257843,
      0.6716466568390879,
      0.6618862852651352,
      0.6522792437913089,
      0.6428224752185508,
      0.6335129642490955,
      0.6243477962641931,
      0.6153241551627439,
      0.6064393138123806,
      0.5976906262665482,
      0.5890755219064128,
      0.5805915014158706,
      0.5722361323626515,
      0.5640068082617878,
      0.5559005690596645,
      0.547914657135167,
      0.5400465537354542,
      0.5322939178206196,
      0.524654544504264,
      0.517126335929763,
      0.5097072808960244,
      0.5023954407921343,
      0.4951889394195644,
      0.4880859558951533,
      0.4810847192504068,
      0.4741835043421061,
      0.46738062856293683,
      0.46067444968395005,
      0.4540633637133636,
      0.44754580300353597,
      0.44112023494043723,
      0.4347851607884532,
      0.4285391142627327,
      0.4223806605194593,
      0.4163083952132638,
      0.41032094337134467,
      0.4044169586729493,
      0.3985951225793291,
      0.3928541433685343,
      0.38719275553639343,
      0.38160971903265384,
      0.3761038184636039,
      0.3706738622379838,
      0.3653188885214924,
      0.36003809022843736,
      0.3548305546445206,
      0.34969511012250143,
      0.34463049491846537,
      0.33963552473363506,
      0.3347090738024654,
      0.32985032077331267,
      0.3250588398378569,
      0.3203341454770926,
      0.3156757839127405,
      0.3110831632054918,
      0.3065555624590924,
      0.3020921800210362,
      0.2976921654710365,
      0.2933546411653589,
      0.2890787165987642,
      0.28486349992481463,
      0.28070819251395457,
      0.276612048291036,
      0.2725742817430678,
      0.2685940846381932,
      0.26467063827766113,
      0.26080313868334404,
      0.2569910789956527,
      0.25323407033713363,
      0.2495315788890044,
      0.24588297853144284,
      0.2422875854692451,
      0.23874468134697915,
      0.23525352907653685,
      0.23181338301450946,
      0.22842349580647117,
      0.22508312340109096,
      0.2217915276557048,
      0.2185479784787823,
      0.21535173872095265,
      0.21220200384670396,
      0.20909797937029903,
      0.20603891592390794,
      0.20302409791069548,
      0.20005283602091514,
      0.19712446192638663,
      0.19423832482941542,
      0.1913937888616456,
      0.1885902311831839,
      0.18582704106932227,
      0.18310361887444926,
      0.18041937537906938,
      0.1777737314291545,
      0.17516611730745135,
      0.17259597263610532,
      0.1700627461113682,
      0.16756589507656075,
      0.16510488548499763,
      0.16267919169390346,
      0.16028829624185773,
      0.15793168979347894,
      0.15560887080642605,
      0.1533193454606336,
      0.15106262774201504,
      0.14883823894935433,
      0.14664570776187,
      0.14448457013020885,
      0.14235436916211439,
      0.14025465481887198,
      0.13818498386647432,
      0.13614491988456873,
      0.1341340330154218,
      0.13215190005027097,
      0.13019810414734473,
      0.12827223458199882,
      0.12637388697925592,
      0.1245026629741704,
      0.12265817019611991,
      0.12084002212526267,
      0.11904783813248888,
      0.11728124320714207,
      0.11553986784864713,
      0.11382334814135586,
      0.11213132559861999,
      0.11046344705025078,
      0.10881936460428882,
      0.10719873545395389,
      0.10560122189879104,
      0.10402649121699531,
      0.102474215668821,
      0.10094407237651092,
      0.0994357431568923,
      0.09794891446524948,
      0.09648327743730907,
      0.09503852773731879,
      0.09361436544070635,
      0.09221049505234168,
      0.09082662546388903,
      0.08946246982456954,
      0.08811774544560153,
      0.08679217376353332,
      0.08548548033403994,
      0.08419739456957692,
      0.08292765000921176,
      0.08167598397293317,
      0.08044213766215022,
      0.07922585601291102,
      0.07802688777576275,
      0.07684498523348483,
      0.07567990420215977,
      0.07453140417519521,
      0.07339924810821573,
      0.07228320237253359,
      0.0711830367401181,
      0.07009852422137527,
      0.0690294412109504,
      0.06797556734670299,
      0.066936685354872,
      0.06591258114857289,
      0.06490304373096477,
      0.06390786522739497,
      0.0629268407830619,
      0.0619597683823427,
      0.061006448879373745,
      0.060066686153320524,
      0.059140286867886846,
      0.058227060355816644,
      0.05732681872617545,
      0.05643937688985975,
      0.05556455236329105,
      0.054702165228194016,
      0.05385203826962819,
      0.053013996761154765,
      0.05218786855586196,
      0.051373483807646815,
      0.050570675185461475,
      0.04977927696457533,
      0.04899911919395432,
      0.04823003267911751,
      0.04747185381474601,
      0.04672442352958434,
      0.04598758633522035,
      0.04526118997060726,
      0.044545085093753746,
      0.04383912478131917,
      0.04314316445694627,
      0.042457061806342886,
      0.04178067674564303,
      0.04111387129647075,
      0.04045650944346279,
      0.039808457145772136,
      0.03916958244512247,
      0.038539755155546224,
      0.03791884697021874,
      0.037306731359386065,
      0.03670328361797952,
      0.03610838087262027,
      0.03552190193670352,
      0.03494372743577609,
      0.03437373966013743,
      0.03381182259570791,
      0.03325786181149515,
      0.03271174457303199,
      0.03217335968227256,
      0.031642597488809224,
      0.031119350012200134,
      0.030603510819179197,
      0.030094974922822842,
      0.029593638798828592,
      0.02909940046769892,
      0.028612159268020323,
      0.02813181611201171,
      0.02765827336532632,
      0.02719143468178692,
      0.026731205001998996,
      0.02627749070340681,
      0.02583019953309365,
      0.025389240456867017,
      0.024954523786809752,
      0.02452596113574976,
      0.02410346533858791,
      0.023686950378420488,
      0.023276331616098763,
      0.022871525586360686,
      0.022472449868147046,
      0.022079023379375656,
      0.02169116614824411,
      0.02130879927066415,
      0.02093184490824716,
      0.020560226460630254,
      0.02019386834985221,
      0.019832696112256333,
      0.019476636304296403,
      0.019125616513715728,
      0.018779565330159894,
      0.018438412415647157,
      0.01810208852785409,
      0.01777052528683592,
      0.017443655142687992,
      0.01712141164517987,
      0.01680372939955599,
      0.016490543797490088,
      0.016181791145731615,
      0.015877408658133103,
      0.01557733444490671,
      0.015281507568973394,
      0.014989867921602803,
      0.01470235615214,
      0.01441891386809254,
      0.014139483424999159,
      0.013864008069649216,
      0.013592431812738276,
      0.01332469941944044,
      0.013060756421749047,
      0.012800549235596344,
      0.01254402503361707,
      0.012291131594975978,
      0.012041817488740284,
      0.011796032527337774,
      0.011553729331598556,
      0.011314861382908,
      0.0110793818614954,
      0.01084724386342161,
      0.010618400827446172,
      0.010392806466632924,
      0.010170415197522126,
      0.009951181744973217,
      0.009735061371881593,
      0.009522010072412688,
      0.009311984240275836,
      0.009104941032181624,
      0.008900838034080668,
      0.008699633533909845,
      0.008501286421467127,
      0.008305756103361872,
      0.00811300261111899,
      0.00792298652044757,
      0.007735668943053757,
      0.007551011507438503,
      0.007368976431058133,
      0.007189526410320271,
      0.007012624862051533,
      0.0068382355574651225,
      0.0066663227724235346,
      0.006496851350993798,
      0.00632978661191012,
      0.006165094339729578,
      0.006002740911246949,
      0.005842693208211041,
      0.005684918398107042,
      0.0055293842126301505,
      0.005376058795571256,
      0.005224910825773464,
      0.005075909292350206,
      0.0049290237548718545,
      0.004784224166425464,
      0.004641480883010647,
      0.00450076474444509,
      0.004362046959758798,
      0.004225299121458894,
      0.004090493221356597,
      0.0039576016868109794,
      0.0038265974062005543,
      0.0036974535778762203,
      0.003570143719416956,
      0.003444641888259801,
      0.0033209223570734663,
      0.0031989597737387414,
      0.003078729137993026,
      0.002960205875194841,
      0.0028433657011072335,
      0.0027281847754323124,
      0.002614639582783983,
      0.0025027068782402817,
      0.0023923637805601467,
      0.0022835876315790414,
      0.002176356193417376,
      0.002070647504042447,
      0.0019664401090327558,
      0.0018637125765564523,
      0.0017624439032516372,
      0.0016626133233095045,
      0.0015642004117341042,
      0.0014671850867250468,
      0.0013715474163081768,
      0.001277267947336833,
      0.0011843273998696938,
      0.0010927066617597008,
      0.0010023870187891503,
      0.0009133500111028063,
      0.0008255774756237063,
      0.0007390514553244395,
      0.0006537541287758037,
      0.0005696681093807965,
      0.00048677623682770823,
      0.0004050615608610243,
      0.00032450728729896,
      0.0002450968966680073,
      0.00016681414933738414,
      8.964312344937531e-05,
      1.3568038022269215e-05,
      -6.142673917699781e-05,
      -0.00013535653650556553,
      -0.00020823650885932023,
      -0.0002800814678899184,
      -0.0003509061058504452,
      -0.0004207249129979441,
      -0.0004895523173865481,
      -0.000557402372540734,
      -0.0006242888889166459,
      -0.0006902255772933792,
      -0.0007552258734678563,
      -0.000819303016462257,
      -0.0008824701069334194,
      -0.0009447401713179654,
      -0.0010061258501605096,
      -0.0010666397789662963,
      -0.0011262943828864937
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566899306295515,
      10.337150793097406,
      10.099767070862056,
      9.857722321551764,
      9.6134366134089,
      9.36900675362684,
      9.126252219562005,
      8.88667472826624,
      8.65146732375342,
      8.421536388590221,
      8.197504069944662,
      7.979724574342087,
      7.7683117173611045,
      7.563175460835366,
      7.364062454364085,
      7.170593698484519,
      6.982299314864514,
      6.798662527533391,
      6.61915410529192,
      6.4432573256678864,
      6.270480223381708,
      6.100373511339399,
      5.932547734835694,
      5.7666788864759715,
      5.602514634917434,
      5.439879522428613,
      5.278673046115782,
      5.118874194844675,
      4.960534740298685,
      4.803771933882863,
      4.6487622087956035,
      4.49574673612958,
      4.345017832646554,
      4.196915861138303,
      4.051837299957386,
      3.910193484663644,
      3.772387342230272,
      3.638800489881364,
      3.5097826518839836,
      3.3856446586982885,
      3.266648406412169,
      3.1530000225919745,
      3.0448480422007047,
      2.9422816414928405,
      2.84532363680219,
      2.753931642069696,
      2.668003843110323,
      2.587393411923196,
      2.5119036310630594,
      2.441298947351873,
      2.375333636937604,
      2.3137329630030106,
      2.256190010809991,
      2.2023780029085356,
      2.1519247887473827,
      2.104444539883872,
      2.059585406374305,
      2.0170177941327743,
      1.9764397325058192,
      1.937590539243873,
      1.9002617177479186,
      1.864289720439508,
      1.8295417251100223,
      1.7959028249830211,
      1.7632774445507295,
      1.7315889572236585,
      1.7007745566738264,
      1.670781643632193,
      1.6415652459371373,
      1.6130861710198983,
      1.5853084959136965,
      1.558197592898414,
      1.531722553781199,
      1.5058558697669613,
      1.4805726727456285,
      1.4558501945211328,
      1.4316673783879565,
      1.4080045954396163,
      1.3848434356563402,
      1.3621670337194025,
      1.339960531529577,
      1.318209989796814,
      1.2969016926248025,
      1.27602222334843,
      1.2555585441247465,
      1.2354980424048678,
      1.215828552661007,
      1.1965383649841215,
      1.1776162222792348,
      1.1590513115815946,
      1.1408332510780734,
      1.1229524926713244,
      1.1054006370328477,
      1.0881700533008534,
      1.0712547228577332,
      1.0546484669755904,
      1.0383445712813575,
      1.0223360539995283,
      1.0066158420312157,
      0.9911768869722134,
      0.9760124419919368,
      0.9611174113052046,
      0.946487159247899,
      0.9321165101405772,
      0.9179999999023916,
      0.9041320396603882,
      0.8905070224409821,
      0.8771193921795222,
      0.8639636873508829,
      0.8510345682186875,
      0.8383268315780787,
      0.8258354194846508,
      0.8135554218293537,
      0.8014820765214834,
      0.7896107672642475,
      0.7779370203238875,
      0.766456500006706,
      0.7551650045092301,
      0.7440584612597488,
      0.733132922035289,
      0.7223845583358167,
      0.7118096565797842,
      0.7014046134943772,
      0.6911659322242759,
      0.6810902179263947,
      0.6711741736230422,
      0.6614145968306767,
      0.6518083755709476,
      0.6423524506003304,
      0.6330438060070998,
      0.6238795275456543,
      0.6148567992976681,
      0.6059728940141761,
      0.5972251655021874,
      0.5886110429109085,
      0.5801280264691319,
      0.5717736833632092,
      0.5635454528397948,
      0.5554403790573349,
      0.5474556875137103,
      0.5395888476924913,
      0.5318375105149256,
      0.5241994655772686,
      0.516672611035955,
      0.5092549329597298,
      0.5019444908165062,
      0.49473940697840213,
      0.4876378593336431,
      0.4806380760801616,
      0.4737383312205978,
      0.4669369415701847,
      0.46023226431198966,
      0.4536226950521007,
      0.4471066656910812,
      0.4406826433111087,
      0.4343491286583106,
      0.4281046550396095,
      0.4219477871290351,
      0.4158771202735822,
      0.40989127920907314,
      0.4039889170802915,
      0.3981687149717582,
      0.3924293809375854,
      0.3867696490921402,
      0.3811882790194897,
      0.3756840547420475,
      0.3702558183967803,
      0.36490267223062905,
      0.3596237818297014,
      0.35441821350346614,
      0.34928477065083924,
      0.3442221812786648,
      0.33922925402115844,
      0.33430485818342015,
      0.3294482822213524,
      0.32465910701556827,
      0.31993683443719595,
      0.31528098321334,
      0.310690929211942,
      0.3061659298724122,
      0.30170516881275167,
      0.2973077856875197,
      0.29297289617863953,
      0.2886996050959068,
      0.28448702539215354,
      0.28033436904498865,
      0.276240882122697,
      0.2722057731601257,
      0.2682282299515805,
      0.26430743104816545,
      0.260442584970485,
      0.25663320345996443,
      0.2528788847101409,
      0.24917908622817292,
      0.245533176100356,
      0.2419404665124709,
      0.23840023655586653,
      0.23491174725408503,
      0.2314742516807144,
      0.2280870017080103,
      0.22474925262179135,
      0.2214602659265082,
      0.21821931123019309,
      0.2150256469492129,
      0.21187846251312978,
      0.2087769669005615,
      0.2057204129400122,
      0.20270808672232743,
      0.19973929994337442,
      0.19681338494467793,
      0.19392969123838716,
      0.19108758326208317,
      0.18828643850335428,
      0.18552564634510088,
      0.1828046072195879,
      0.1801227320436685,
      0.1774794415016077,
      0.17487416608903392,
      0.17230634532826017,
      0.16977542783294972,
      0.16728087091126925,
      0.16482214057248862,
      0.1623987111677724,
      0.16001006531313522,
      0.157655693578912,
      0.15533509456318195,
      0.1530477744834727,
      0.15079324717108708,
      0.14857103401548075,
      0.14638066375812728,
      0.14422167229400115,
      0.1420936026520379,
      0.13999600493874298,
      0.13792843588845966,
      0.13589045910726258,
      0.1338816447576458,
      0.13190156962565674,
      0.12994981678743622,
      0.12802597568928228,
      0.12612964195429077,
      0.12426041715689298,
      0.12241790898445958,
      0.12060173102369028,
      0.1188115025270007,
      0.11704684856580638,
      0.1153073996993277,
      0.1135927920683921,
      0.11190266718859683,
      0.11023667199009664,
      0.10859445858849365,
      0.1069756843273538,
      0.10538001150651134,
      0.1038071073752118,
      0.1022566442432606,
      0.1007282992272797,
      0.09922175419764874,
      0.0977366957284823,
      0.09627281495574731,
      0.09482980756478572,
      0.09340737376821295,
      0.09200521817844293,
      0.09062304970152549,
      0.08926058136319123,
      0.08791753057539052,
      0.0865936188324784,
      0.08528857173379698,
      0.08400211890585836,
      0.08273399383374876,
      0.08148393400516118,
      0.0802516806707615,
      0.07903697888238098,
      0.07783957716864903,
      0.07665922795530249,
      0.07549568724496115,
      0.07434871449786057,
      0.07321807275380132,
      0.0721035284840152,
      0.0710048514840296,
      0.06992181486746654,
      0.06885419504031622,
      0.06780177172199348,
      0.06676432782262709,
      0.06574164931313711,
      0.06473352529403649,
      0.06373974788470493,
      0.06276011219093719,
      0.061794416295699095,
      0.060842461197705554,
      0.05990405080513188,
      0.05897899179387165,
      0.05806709359031033,
      0.05716816845053387,
      0.05628203135266341,
      0.055408500029884115,
      0.05454739452044539,
      0.0536985375729569,
      0.052861754485231394,
      0.052036873150719094,
      0.05122372389163074,
      0.05042213949198811,
      0.04963195516399355,
      0.04885300842439447,
      0.04808513908810026,
      0.04732818933718547,
      0.046582003560147536,
      0.04584642847647183,
      0.04512131285616731,
      0.04440650766751737,
      0.04370186249345744,
      0.04300722410258936,
      0.04232244342698005,
      0.04164737579244267,
      0.04098188029845599,
      0.040325818990281245,
      0.03967905658594036,
      0.039041460175600846,
      0.03841289910487386,
      0.03779324476165511,
      0.03718237048860911,
      0.03658015149691575,
      0.03598646489511989,
      0.035401189610950554,
      0.034824206297553395,
      0.034255397351684994,
      0.03369464674444271,
      0.03314184023320931,
      0.03259686517044594,
      0.032059610477633456,
      0.03152996659951045,
      0.031007825613922162,
      0.03049308120176309,
      0.029985628476589067,
      0.029485364016957727,
      0.028992185971375765,
      0.028505993895684215,
      0.028026688729464573,
      0.02755417293699106,
      0.027088350157585102,
      0.02662912556693254,
      0.02617640567803118,
      0.02573009830018895,
      0.025290112559964686,
      0.024856358825642088,
      0.02442874874473068,
      0.024007195235556264,
      0.02359161247705761,
      0.023181915916511298,
      0.022778022104241284,
      0.022379848704039387,
      0.021987314838815542,
      0.021600340536996387,
      0.02121884692840022,
      0.020842756474528042,
      0.020471992623573677,
      0.020106479816083062,
      0.01974614362149509,
      0.019390910777592314,
      0.01904070897330688,
      0.018695466960021594,
      0.018355114469545464,
      0.01801958223145838,
      0.01768880196904131,
      0.01736270631597656,
      0.017041228870633866,
      0.016724304222037564,
      0.016411867871652483,
      0.01610385623514484,
      0.01580020666014005,
      0.015500857416169198,
      0.015205747522673065,
      0.014914816936107873,
      0.014628006441758936,
      0.014345257758901518,
      0.014066513293089368,
      0.013791716241119207,
      0.01352081076278792,
      0.01325374178727325,
      0.012990454969122019,
      0.012730896672140675,
      0.012475014121736053,
      0.012222755268008754,
      0.011974068664138186,
      0.011728903843549007,
      0.011487213093612383,
      0.01124895025739816,
      0.011014068720706411,
      0.010782521859172795,
      0.010554263211475252,
      0.010329246627789628,
      0.010107426508717881,
      0.009888757721756455,
      0.009673195614937383,
      0.00946069624251935,
      0.009251216218031174,
      0.00904471253127669,
      0.008841142977590973,
      0.008640465896756743,
      0.008442640206827244,
      0.008247625408264405,
      0.008055381596855836,
      0.007865869357772282,
      0.007679049922938749,
      0.007494885012484963,
      0.0073133369069902305,
      0.007134368471351024,
      0.006957943047180851,
      0.006784024429887891,
      0.006612576930155482,
      0.006443565583709459,
      0.006276955695832433,
      0.006112713176363154,
      0.00595080441191058,
      0.005791196197679721,
      0.0056338558807217075,
      0.005478751226184067,
      0.005325850435922887,
      0.005175122163562239,
      0.005026535576374643,
      0.004880060158016035,
      0.004735665964087512,
      0.004593323472602486,
      0.0044530035254966025,
      0.004314677373194034,
      0.0041783166698402836,
      0.004043893553036289,
      0.003911380394302366,
      0.0037807500916378777,
      0.0036519758675553,
      0.0035250313929337516,
      0.0033998906647967,
      0.0032765279930734074,
      0.0031549181034423537,
      0.003035036165249598,
      0.0029168577068704573,
      0.002800358373307222,
      0.002685514313947533,
      0.002572302127234984,
      0.0024606986097595847,
      0.002350680715943997,
      0.0022422260402125806,
      0.00213531236629947,
      0.0020299178028644308,
      0.001926020811938309,
      0.001823600111671391,
      0.0017226346309907627,
      0.001623103763977291,
      0.001524987028242964,
      0.0014282643787779982,
      0.0013329160339177332,
      0.0012389224613552825,
      0.0011462644858895848,
      0.001054923112275075,
      0.0009648796353477277,
      0.0008761155600281991,
      0.0007886127578341554,
      0.0007023533256181167,
      0.0006173195026243675,
      0.0005334939380533229,
      0.0004508594318111924,
      0.000369399000766007,
      0.0002890960156495778,
      0.000209934072103168,
      0.00013189692625491028,
      5.496857097390152e-05,
      -2.086675716569684e-05,
      -9.5624563329494e-05,
      -0.00016932011698031588,
      -0.00024196855657011152,
      -0.0003135848408240267,
      -0.0003841835973921325,
      -0.0004537792948794576,
      -0.0005223861151967667,
      -0.0005900180982601176,
      -0.0006566890698545691,
      -0.0007224126832273957,
      -0.000787202447311269,
      -0.0008510716396698142,
      -0.0009140333142103358,
      -0.00097610042240551,
      -0.0010372856349830898,
      -0.0010976014555916201,
      -0.0011570602695621498
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.5668960684822,
      10.3371348088031,
      10.099730430461877,
      9.857659519258238,
      9.613343568486199,
      9.36888040066339,
      9.126090841799991,
      8.886477942167387,
      8.651235281599927,
      8.421269561373062,
      8.197203086122594,
      7.979390088234847,
      7.767944322154553,
      7.562775619675937,
      7.363630482379159,
      7.170129667453054,
      6.981803015643337,
      6.798133739074283,
      6.6185926322791175,
      6.442663094480024,
      6.269853504021189,
      6.099714758327929,
      5.931857574510444,
      5.765958224506305,
      5.601764678893306,
      5.439101799383839,
      5.277869441570522,
      5.118046995976051,
      4.9596866569488345,
      4.802905879193322,
      4.647881403529136,
      4.494854784868304,
      4.344118731978668,
      4.196014469708126,
      4.050938819472245,
      3.909303005123303,
      3.7715097353079194,
      3.6379403209632466,
      3.5089441755439217,
      3.3848317996088686,
      3.265864541253766,
      3.1522479507704837,
      3.044129974693053,
      2.941599093902609,
      2.844677251145891,
      2.7533211414275756,
      2.6674283313626233,
      2.5868515304598247,
      2.511393177890155,
      2.4408174863235055,
      2.3748786266973583,
      2.313301601356675,
      2.255779335084248,
      2.2019846824686775,
      2.1515451732748074,
      2.104075362067614,
      2.059223614795338,
      2.016660548844436,
      1.9760846783749302,
      1.937235843438193,
      1.8999060406416808,
      1.8639320783746058,
      1.829181353120257,
      1.795539105209715,
      1.7629099560168753,
      1.7312174275994476,
      1.7003988202452802,
      1.6704016103652166,
      1.6411808797251286,
      1.6126974740585265,
      1.5849155205436447,
      1.557800412318731,
      1.5313212460196628,
      1.5054505155241475,
      1.48016335419455,
      1.4554369949090251,
      1.4312503805569923,
      1.407583881807211,
      1.38441908833045,
      1.3617391534656054,
      1.3395292473220681,
      1.317775426158109,
      1.2964639577034622,
      1.2755814133922332,
      1.2551147472054238,
      1.2350513398150635,
      1.2153790218987492,
      1.1960860804071722,
      1.177161255564675,
      1.1585937318361814,
      1.1403731255644634,
      1.1224899154172445,
      1.1049357037701708,
      1.0877029437488286,
      1.0707857273624675,
      1.054177799201181,
      1.0378723935314411,
      1.0218624924295554,
      1.006140998395969,
      0.9907008461588094,
      0.9755354047437157,
      0.9606397493076649,
      0.9460091319286271,
      0.9316383024451713,
      0.9175217465156058,
      0.9036538413350599,
      0.8900289569553222,
      0.8766415217247515,
      0.8634860637364097,
      0.85055723610902,
      0.8378498311419451,
      0.8253587871386209,
      0.8130791917241783,
      0.8010062810944913,
      0.789135437878152,
      0.7774621873821774,
      0.765982193385612,
      0.7546912535703655,
      0.7435852949778986,
      0.7326603688849396,
      0.7219126462424815,
      0.7113384131134867,
      0.7009340658996067,
      0.6906961073118357,
      0.6806211421325589,
      0.6707058732617033,
      0.6609470978014242,
      0.6513417033622196,
      0.6418866284763245,
      0.6325788567406108,
      0.6234154741993315,
      0.6143936650314207,
      0.6055107018586832,
      0.5967639382011236,
      0.588150803212425,
      0.5796687967476281,
      0.5713154856658957,
      0.5630883536749746,
      0.5549844516106134,
      0.5470009876048381,
      0.5391354190980957,
      0.5313853887695981,
      0.5237486804690774,
      0.5162231882374382,
      0.5088068954613472,
      0.5014978596327586,
      0.49429420158683773,
      0.48719409797582935,
      0.4801957760021957,
      0.47329750908282997,
      0.4664976134931638,
      0.4597944458901442,
      0.4531864012842529,
      0.44667191105686893,
      0.44024944189105053,
      0.4339174941972536,
      0.42767460090272186,
      0.4215193264554991,
      0.4154502656923334,
      0.409466042778019,
      0.40356531065148565,
      0.39774674999237136,
      0.3920090684488592,
      0.386350999723166,
      0.3807713028994421,
      0.37526876183941726,
      0.36984226076519194,
      0.3644909611691281,
      0.35921399714285074,
      0.3540104133645331,
      0.34887898554426855,
      0.34381843259415695,
      0.33882755708527135,
      0.33390526081984784,
      0.329050922723603,
      0.32426409390289446,
      0.3195442697055402,
      0.3148909458712894,
      0.3103034691729375,
      0.30578107740292143,
      0.3013229409281848,
      0.29692819039745616,
      0.2925959355132504,
      0.2883252771404005,
      0.2841153333353591,
      0.2799653267185047,
      0.275874495420929,
      0.271842042031462,
      0.2678671503750278,
      0.2639489963183652,
      0.2600868007160503,
      0.25628009384524275,
      0.2525284612844714,
      0.24883135206494764,
      0.24518812834565232,
      0.24159809845181618,
      0.2380605388374631,
      0.23457470860415078,
      0.23113985963525516,
      0.227755242956293,
      0.22442011323071137,
      0.221133731560812,
      0.21789536725520675,
      0.21470427419450003,
      0.211559636090535,
      0.20846066529626683,
      0.20540661698836377,
      0.20239677875377243,
      0.19943046335672107,
      0.1965070037820955,
      0.19362574997770135,
      0.1907860665714838,
      0.18798733131412104,
      0.1852289337454764,
      0.18251027439952922,
      0.17983076413718313,
      0.17718982374580847,
      0.1745868835881776,
      0.17202138336371006,
      0.16949277160643753,
      0.1670005057452298,
      0.16454405177928869,
      0.16212288403241315,
      0.15973648500522897,
      0.15738434525442582,
      0.15506596328081837,
      0.15278084541898337,
      0.15052850552600702,
      0.14830846492523359,
      0.14612025246672616,
      0.14396340401658245,
      0.1418374626467582,
      0.1397419783809833,
      0.13767650811975343,
      0.135640615381392,
      0.13363387031086466,
      0.13165584975858693,
      0.12970613694705552,
      0.12778432126465947,
      0.12588999826895222,
      0.12402276967029911,
      0.12218224311847176,
      0.12036803221097221,
      0.1185797562719395,
      0.1168170403842728,
      0.11507951521125209,
      0.11336681689916107,
      0.1116785870229257,
      0.1100144724541866,
      0.1083741253797824,
      0.10675720315933492,
      0.10516336804748495,
      0.1035922874218615,
      0.10204363369069341,
      0.10051708395658879,
      0.09901232015419126,
      0.09752902893024469,
      0.09606690139945788,
      0.09462563334222682,
      0.09320492499169711,
      0.09180448097601633,
      0.09042401033936447,
      0.08906322623476806,
      0.08772184610813828,
      0.08639959156005117,
      0.08509618819672302,
      0.08381136559651002,
      0.08254485734453806,
      0.08129640093523012,
      0.08006573773003346,
      0.07885261261058697,
      0.07765677448416039,
      0.07647797579196777,
      0.07531597257417998,
      0.07417052435690911,
      0.07304139422023655,
      0.07192834867227374,
      0.0708311576280497,
      0.06974959429881643,
      0.06868343513136185,
      0.06763245981651785,
      0.06659645135097339,
      0.06557519581497902,
      0.064568482371712,
      0.06357610316621294,
      0.06259785341377071,
      0.061633531327634515,
      0.060682937844671145,
      0.059745876994197984,
      0.05882215556572972,
      0.05791158308272366,
      0.05701397184389512,
      0.05612913677420896,
      0.05525689570574529,
      0.054397068880534895,
      0.053549479124145295,
      0.05271395181531295,
      0.05189031483086003,
      0.05107839864584565,
      0.050278036179576546,
      0.04948906256497356,
      0.048711315387683495,
      0.04794463459046598,
      0.0471888623965191,
      0.04644384333647896,
      0.04570942408391913,
      0.04498545351862285,
      0.044271782734210056,
      0.043568264978215865,
      0.042874755603394286,
      0.0421911119250709,
      0.041517193426795676,
      0.040852861563165484,
      0.04019797973007778,
      0.039552413315025625,
      0.038916029662839004,
      0.03828869656441547,
      0.03767027792734234,
      0.03706064023728122,
      0.036459654110159855,
      0.03586719359060969,
      0.03528313563249911,
      0.03470735955866038,
      0.03413974691787068,
      0.033580181315623486,
      0.03302854816341106,
      0.03248473452420289,
      0.031948629177620425,
      0.03142012265297941,
      0.03089910720934306,
      0.030385476404996004,
      0.02987912543571747,
      0.029379951126042084,
      0.02888785165343376,
      0.028402726634006965,
      0.0279244772008211,
      0.02745300573205855,
      0.026988216156388724,
      0.026530013672750367,
      0.026078304850501003,
      0.02563299761382372,
      0.025194001225296202,
      0.024761226140694568,
      0.024334584123201077,
      0.0239139882289609,
      0.023499352727688893,
      0.0230905931551785,
      0.02268762619279708,
      0.02229036971022691,
      0.021898742704779928,
      0.02151266535346386,
      0.021132059030970783,
      0.02075684614184859,
      0.02038695023669202,
      0.020022295986106522,
      0.019662809019367847,
      0.019308416142040083,
      0.018959045093633574,
      0.018614624665650708,
      0.018275084695818553,
      0.01794035613697736,
      0.017610370760921076,
      0.017285061215605167,
      0.016964361270061207,
      0.016648205599301212,
      0.01633652977666657,
      0.016029270262795915,
      0.015726364462012726,
      0.01542775073785146,
      0.015133368215833715,
      0.014843156869459447,
      0.01455705766640793,
      0.014275012298942001,
      0.013996963356178725,
      0.013722854156110352,
      0.013452628943378286,
      0.013186232594036505,
      0.012923610895927591,
      0.012664710316686662,
      0.012409478162961772,
      0.012157862392743104,
      0.011909811824793738,
      0.011665275880715966,
      0.011424206294390343,
      0.011186556885058329,
      0.01095228150591579,
      0.010721333740711327,
      0.010493667233201378,
      0.010269236001174235,
      0.010047994541737836,
      0.009829897830665546,
      0.009614901349544663,
      0.009402961133538586,
      0.009194033821690234,
      0.008988076690410417,
      0.008785047511070926,
      0.008584904791707966,
      0.00838760742947913,
      0.008193115083971995,
      0.008001387681602568,
      0.007812385983633704,
      0.007626071215850156,
      0.007442405221834103,
      0.00726135040219176,
      0.007082869630793695,
      0.006906926255177903,
      0.006733484321844438,
      0.006562508091525286,
      0.006393962598739344,
      0.006227813304584066,
      0.006064026056715996,
      0.00590256729238285,
      0.005743403951190941,
      0.005586503319956039,
      0.005431833254296992,
      0.005279362109537987,
      0.005129058622915692,
      0.004980891918171754,
      0.00483483163242179,
      0.00469084779689523,
      0.004548910954813699,
      0.004408991924870977,
      0.004271062061921772,
      0.004135093087355877,
      0.004001057092619016,
      0.0038689266523095575,
      0.003738674716498754,
      0.0036102745045881457,
      0.003483699622705448,
      0.0033589241701970076,
      0.0032359226188363763,
      0.003114669744277479,
      0.002995140679920664,
      0.002877310882756454,
      0.0027611562088050707,
      0.002646652920152031,
      0.0025337774263859926,
      0.0024225066372970095,
      0.0023128177385195138,
      0.0022046881846921793,
      0.0020980957956560544,
      0.001993018739170427,
      0.0018894355151228416,
      0.0017873249094487232,
      0.0016866659679451036,
      0.0015874379841170824,
      0.0014896206723106862,
      0.0013931940625280506,
      0.001298138333142388,
      0.0012044339937942613,
      0.0011120618407683216,
      0.0010210029004984848,
      0.0009312384761257814,
      0.0008427501312433908,
      0.0007555197702370698,
      0.0006695294654918074,
      0.0005847616159791436,
      0.0005011988399579781,
      0.00041882402134435845,
      0.00033762022961150907,
      0.00025757092073655345,
      0.00017865960481613284,
      0.00010087019504733072,
      2.418656905874216e-05,
      -5.1406839027208376e-05,
      -0.00012592560233179277,
      -0.0001993850314570407,
      -0.00027180005669254497,
      -0.0003431855981636166,
      -0.00041355638270456897,
      -0.0004829267345651636,
      -0.0005513108477629497,
      -0.0006187227466466591,
      -0.0006851762835726102,
      -0.0007506851231987351,
      -0.0008152626690711339,
      -0.0008789221035704039,
      -0.0009416765349128283,
      -0.0010035387878056098,
      -0.0010645216385240309,
      -0.0011246375530162343,
      -0.0011838987742798237
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56689284796218,
      10.33711888112705,
      10.099693903889095,
      9.857596923002996,
      9.61325084723184,
      9.368754512431284,
      9.125930090363875,
      8.886281960466459,
      8.651004234281665,
      8.421003928774445,
      8.19690350059348,
      7.979057210186751,
      7.767578750268849,
      7.562377819808046,
      7.363200771045687,
      7.169668119241815,
      6.98130942424784,
      6.797607884577442,
      6.618034321512564,
      6.442072258861946,
      6.269230416649483,
      6.099059877284426,
      5.9311715292898946,
      5.765241922042537,
      5.601019327751238,
      5.438328925538547,
      5.277070927301732,
      5.1172251226266825,
      4.9588441280788835,
      4.802045600701744,
      4.647006585748136,
      4.493969020128391,
      4.343225997250446,
      4.195119594898708,
      4.050046975475732,
      3.908419251055855,
      3.770638911285329,
      3.637086961585549,
      3.508112504965735,
      3.38402571260872,
      3.265087385115519,
      3.151502497896926,
      3.0434184118820373,
      2.940922915515629,
      2.844037082763992,
      2.7527166973479176,
      2.666858711953478,
      2.586315376150976,
      2.510888289160774,
      2.4403414313213028,
      2.3744288700539427,
      2.3128753484576605,
      2.2553736315812047,
      2.201596206714988,
      2.1511702857345782,
      2.1037108062965775,
      2.0588663508135454,
      2.0163077482467004,
      1.975733994992969,
      1.9368854522793435,
      1.8995546088187105,
      1.8635786275171162,
      1.8288251259511865,
      1.7951794946357866,
      1.7625465490193883,
      1.7308499583959651,
      1.7000271275740635,
      1.6700256083613791,
      1.6408005356938786,
      1.6123127921743883,
      1.5845265546467082,
      1.5574072370231855,
      1.5309239400628851,
      1.5050491602616456,
      1.4797580323895683,
      1.45502778971446,
      1.4308373750437209,
      1.40716715898619,
      1.383998730241843,
      1.3613152618155404,
      1.339101952618865,
      1.3173448530104213,
      1.296030214263828,
      1.2751445965345818,
      1.254674945428854,
      1.2346086359060136,
      1.2149334936718301,
      1.1956378018618077,
      1.176710297948009,
      1.1581401647637912,
      1.1399170171304627,
      1.1220313595266194,
      1.104474796343804,
      1.0872399329324274,
      1.0703208791297403,
      1.0537113117332089,
      1.0374044178670072,
      1.0213931474504978,
      1.0056703807750063,
      0.9902290376236638,
      0.9750626036196579,
      0.9601663248806933,
      0.9455353419995762,
      0.931164330893156,
      0.9170477276138606,
      0.9031798757171194,
      0.889555122414874,
      0.8761678806998859,
      0.8630126683577344,
      0.8500841310764609,
      0.8373770560639169,
      0.824886378745269,
      0.8126071844847151,
      0.8005347077160112,
      0.7886643297876214,
      0.7769915751940756,
      0.7655121071784577,
      0.7542217229212032,
      0.7431163487558297,
      0.7321920357956073,
      0.7214449544454602,
      0.710871390362578,
      0.7004677397479387,
      0.6902305047725589,
      0.6801562899389105,
      0.6702417975825626,
      0.6604838242768957,
      0.6508792574084773,
      0.6414250334183575,
      0.6321181352631903,
      0.6229556494558364,
      0.6139347602959712,
      0.6050527401710739,
      0.5963069426639762,
      0.587694796568806,
      0.5792138013575892,
      0.5708615236519955,
      0.5626354712450505,
      0.5545327296672773,
      0.5465504865913693,
      0.538686185968238,
      0.5309374613569543,
      0.5233020901920179,
      0.515777962115726,
      0.508363057119315,
      0.5010554303366473,
      0.49385320106458724,
      0.48675454479382485,
      0.4797576878306967,
      0.4728609027492504,
      0.46606250523094706,
      0.45936085130061205,
      0.4527543354437094,
      0.4462413886169622,
      0.43982047696957527,
      0.43349010059326154,
      0.42724879182200254,
      0.4210951146880889,
      0.41502766365701743,
      0.4090450627134159,
      0.4031459642432274,
      0.39732904857929063,
      0.39159302296976134,
      0.38593662083609753,
      0.380358601045578,
      0.37485774702308355,
      0.369433023182859,
      0.3640835979646419,
      0.35880857986759096,
      0.3536069947186909,
      0.3484775919122966,
      0.3434190826483355,
      0.3384302640814413,
      0.3335100925626665,
      0.32865802604594246,
      0.32387356498319125,
      0.3191562018588625,
      0.31450541214980193,
      0.30992051549743993,
      0.3054007313081197,
      0.30094521771901467,
      0.2965530970693142,
      0.2922234733919997,
      0.2879554435700853,
      0.2837481317914789,
      0.27960077103751485,
      0.2755125909143669,
      0.27148278837716966,
      0.2675105434521851,
      0.2635950295170722,
      0.25973547951003184,
      0.2559314421704893,
      0.2521824903231274,
      0.24848806466227918,
      0.24484752173571722,
      0.24126016589116975,
      0.23772527084038364,
      0.23424209392423964,
      0.23080988578010234,
      0.2274278966708215,
      0.22409538058098274,
      0.2208115982938511,
      0.21757581885034566,
      0.21438728813968078,
      0.2112451890880463,
      0.20814873683500945,
      0.2050971885770182,
      0.202089833045346,
      0.1991259838487894,
      0.19620497463339534,
      0.19332615580064905,
      0.19048889228897886,
      0.18769256195253523,
      0.18493655432908332,
      0.1822202699962726,
      0.17954311994166258,
      0.17690452497120274,
      0.17430391549718705,
      0.17174073113975058,
      0.1692144205797943,
      0.1667244411801677,
      0.16427025879995738,
      0.16185134791008088,
      0.15946719105071175,
      0.15711727878013731,
      0.1548011095557197,
      0.1525181895590172,
      0.15026803270122358,
      0.14805016044602057,
      0.14586410148788692,
      0.14370939184482256,
      0.14158557453921236,
      0.13949219954647346,
      0.13742882374484905,
      0.1353950107831627,
      0.13339033093031996,
      0.13141436095731202,
      0.12946668401923728,
      0.12754688949920193,
      0.1256545731638394,
      0.12378933662582606,
      0.12195078754948586,
      0.12013853956974092,
      0.11835221212809321,
      0.11659143032029809,
      0.11485582480661802,
      0.11314503171442257,
      0.1114586926915431,
      0.10979645467228578,
      0.10815796975588832,
      0.1065428953183146,
      0.10495089389305153,
      0.10338163285276648,
      0.101834784628561,
      0.10031002631621772,
      0.09880703990897477,
      0.09732551210123273,
      0.09586513409555814,
      0.09442560168570227,
      0.09300661513260151,
      0.09160787920218161,
      0.09022910281759715,
      0.08886999936212622,
      0.08753028626603487,
      0.08620968507787018,
      0.08490792143286807,
      0.08362472503530584,
      0.0823598295854469,
      0.0811129727076455,
      0.0798838956794055,
      0.07867234369812853,
      0.07747806560815473,
      0.07630081390841212,
      0.0751403445819574,
      0.07399641724332141,
      0.07286879509566042,
      0.07175724466827958,
      0.07066153591005117,
      0.06958144212008037,
      0.06851673979822287,
      0.06746720884153752,
      0.0664326322024107,
      0.065412796083262,
      0.06440748967810392,
      0.06341650520235109,
      0.06243963794939385,
      0.061476686062665375,
      0.060527450808241214,
      0.05959173618440838,
      0.058669348945750044,
      0.057760098808685566,
      0.05686379813081269,
      0.05598026195947939,
      0.05510930800135209,
      0.05425075664634611,
      0.05340443080740235,
      0.052570155983235695,
      0.051747760152246906,
      0.05093707384473715,
      0.05013792993811345,
      0.049350163693352773,
      0.04857361278423094,
      0.04780811719921637,
      0.0470535192825116,
      0.046309663589708394,
      0.04557639687292581,
      0.04485356820139466,
      0.04414102870293098,
      0.0434386316215883,
      0.04274623237387753,
      0.042063688406456204,
      0.04139085931296737,
      0.04072760655179512,
      0.040073793594078554,
      0.03942928590758516,
      0.03879395093226424,
      0.03816765788538463,
      0.037550277913696015,
      0.036941684008051874,
      0.036341750966557215,
      0.035750355498042674,
      0.03516737591323821,
      0.03459269234363427,
      0.03402618659526147,
      0.03346774209793059,
      0.032917243886213886,
      0.03237457414398696,
      0.03183961477490966,
      0.031312251530529626,
      0.03079237346232233,
      0.03027987206835966,
      0.029774641296150327,
      0.029276577004037962,
      0.02878557679620572,
      0.028301539978695566,
      0.02782436756059502,
      0.02735396190491085,
      0.026890226907008603,
      0.026433067714061367,
      0.025982390946068447,
      0.025538104610254242,
      0.025100118040287868,
      0.024668341872637226,
      0.024242687951301873,
      0.023823069421935596,
      0.023409400601708482,
      0.023001597184949527,
      0.022599575900309865,
      0.02220325477018875,
      0.021812552885278443,
      0.021427390603034557,
      0.02104768926752304,
      0.020673371467873968,
      0.02030436081135003,
      0.019940582024924665,
      0.019581960972246668,
      0.0192284244713112,
      0.018879900351515693,
      0.018536317507842556,
      0.01819760587065028,
      0.01786369642988771,
      0.01753452095215115,
      0.017210012336739283,
      0.016890104377968115,
      0.01657473191941353,
      0.016263830623857157,
      0.01595733716017269,
      0.015655188948671184,
      0.015357324393046216,
      0.015063682664176733,
      0.014774203868840895,
      0.01448882901213708,
      0.014207499918866771,
      0.013930159253622395,
      0.013656750378408467,
      0.013387217614434394,
      0.013121505978933853,
      0.012859561230453566,
      0.012601330044327489,
      0.012346759746072172,
      0.012095798461301962,
      0.011848395007420893,
      0.011604498909407466,
      0.011364061371737825,
      0.011127036340766132,
      0.010893377747453385,
      0.01066303937153775,
      0.010435975169132593,
      0.010212139314730374,
      0.009991486383957878,
      0.00977397151894825,
      0.009559550239394745,
      0.00934817872634363,
      0.009139813758301375,
      0.008934412547908388,
      0.008731932930484795,
      0.008532333414647746,
      0.008335573076945402,
      0.008141611477495621,
      0.007950408864063448,
      0.007761925984165502,
      0.007576124153549036,
      0.0073929651873934155,
      0.00721241153645272,
      0.007034426216149487,
      0.006858972642426778,
      0.006686014837906421,
      0.00651551715718899,
      0.006347444630406675,
      0.0061817627942637645,
      0.006018437664791777,
      0.005857435769449295,
      0.005698723983880464,
      0.00554226981507733,
      0.005388041095598266,
      0.005236006253117717,
      0.005086134026493446,
      0.004938393667646974,
      0.0047927547888559525,
      0.00464918749817944,
      0.004507662307444293,
      0.004368150099201798,
      0.0042306223624309,
      0.004095050787784999,
      0.003961407576475501,
      0.0038296653501674605,
      0.003699797139005748,
      0.00357177613567094,
      0.0034455760929324153,
      0.0033211711376464367,
      0.0031985357202313617,
      0.003077644717960152,
      0.002958473336335519,
      0.002840997037121598,
      0.002725191747422451,
      0.002611033656957336,
      0.0024984994491122747,
      0.002387565916776301,
      0.0022782103101752892,
      0.0021704101520619093,
      0.002064143308512634,
      0.001959388080324051,
      0.0018561229714269423,
      0.0017543267698243038,
      0.0016539784897944936,
      0.001555057575842318,
      0.0014575437264444054,
      0.0013614169099961627,
      0.0012666574004376418,
      0.001173245776237254,
      0.0010811627804258419,
      0.0009903896142618085,
      0.000900907615032438,
      0.0008126983737781268,
      0.0007257438474213645,
      0.0006400261734700995,
      0.0005555277970798758,
      0.0004722313129983724,
      0.00039011962014847687,
      0.0003091759368795432,
      0.00022938360802407466,
      0.0001507262430389465,
      7.318771518185866e-05,
      -3.2478381083523227e-06,
      -7.85961665468243e-05,
      -0.0001528726824690218,
      -0.0002260927124215857,
      -0.0002982712454658329,
      -0.0003694231256124556,
      -0.00043956293205135065,
      -0.000508705112640674,
      -0.0005768638308301789,
      -0.0006440530338800695,
      -0.0007102865458247673,
      -0.0007755779244700718,
      -0.0008399406038866395,
      -0.0009033877752621585,
      -0.00096593247037137,
      -0.0010275876447448774,
      -0.0010883657831005698,
      -0.0011482793620471964,
      -0.0012073407716186684
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566889644735456,
      10.337103031331244,
      10.0996575571354,
      9.85753463998658,
      9.613158595393294,
      9.368629266145453,
      9.125770165340928,
      8.886086998692292,
      8.650774406786079,
      8.420739720496494,
      8.196605549940207,
      7.978726178957362,
      7.767215236807735,
      7.561982290578423,
      7.362773544246024,
      7.169209269130567,
      6.980818743777279,
      6.7970851553498095,
      6.617479352556948,
      6.441484983336841,
      6.268611112458212,
      6.09840900666071,
      5.93048972531168,
      5.764530095906343,
      5.600278689530394,
      5.43756100075885,
      5.27627759594284,
      5.116408662897819,
      4.958007236024532,
      4.801191173784049,
      4.646137823939556,
      4.493089504039377,
      4.34233968157535,
      4.194231280873614,
      4.049161801713635,
      3.907542243719876,
      3.7697748771970336,
      3.636240401748746,
      3.507287610371596,
      3.3832263461917282,
      3.264316865958493,
      3.1507635718739393,
      3.0427132429868116,
      2.940252984015973,
      2.8434030053052215,
      2.7521181825239203,
      2.666294857554593,
      2.5857848227188636,
      2.510388840189394,
      2.439870659233171,
      2.3739842338857784,
      2.3124540623302208,
      2.254972750081978,
      2.2012124191841895,
      2.150799964943793,
      2.1033507068399873,
      2.058513444141595,
      2.015959217812688,
      1.9753875052269403,
      1.9365391865728745,
      1.8992072414436723,
      1.8632291864750552,
      1.8284728618506698,
      1.7948238121103857,
      1.7621870436922724,
      1.7304863701662607,
      1.699659300219162,
      1.6696534590724188,
      1.640424034206721,
      1.6119319452688263,
      1.5841414179129247,
      1.5570178866709352,
      1.5305304560057567,
      1.504651624856423,
      1.4793565293182773,
      1.454622403160749,
      1.4304281893655546,
      1.4067542577635457,
      1.3835821960701633,
      1.3608951960703595,
      1.338678485703317,
      1.3169181096966842,
      1.2956003030274972,
      1.274711614420409,
      1.2542389811000663,
      1.2341697722491505,
      1.2144918090394285,
      1.1951933711724012,
      1.1762631933370091,
      1.1576904561907626,
      1.139464772585592,
      1.121576672713173,
      1.1040177628774808,
      1.0867808072100855,
      1.0698599245209595,
      1.0532487241109723,
      1.0369403471132592,
      1.0209277121794773,
      1.0052036777675717,
      0.9897611482724463,
      0.9745938090268678,
      0.9596969634514073,
      0.945065652238217,
      0.9306944838194665,
      0.9165778486058079,
      0.9027100590795242,
      0.8890854417532689,
      0.8756983958818088,
      0.8625434295327573,
      0.8496151821031701,
      0.8369084365367392,
      0.8244181248298889,
      0.8121393302422502,
      0.8000672856464439,
      0.7881973715111458,
      0.7765251114574452,
      0.7650461680001064,
      0.7537563376729921,
      0.742651546461388,
      0.7317278450858611,
      0.7209814036306437,
      0.7104085072383978,
      0.7000055517978118,
      0.6897690391554602,
      0.6796955732629911,
      0.6697818562282203,
      0.6600246843535651,
      0.6504209445491211,
      0.6409675711140786,
      0.6316615466167694,
      0.6224999577295488,
      0.6134799888162201,
      0.6045989121740352,
      0.5958540810317824,
      0.5872429237858184,
      0.5787629398394624,
      0.570411695482404,
      0.5621867228779802,
      0.5540851425603653,
      0.5461041216953935,
      0.538241090722688,
      0.5304936737790201,
      0.5228596416313441,
      0.5153368795993892,
      0.50792336458256,
      0.5006171492523942,
      0.4934163512371786,
      0.4863191448359947,
      0.47932375530040994,
      0.47242845440467757,
      0.46563155715020627,
      0.45893141889242567,
      0.45232643360364766,
      0.4458150319022258,
      0.4393956794113274,
      0.43306687591004583,
      0.42682715344951405,
      0.42067507557424466,
      0.4146092362801083,
      0.40862825927281293,
      0.4027307966154541,
      0.3969155281424957,
      0.3911811606763036,
      0.3855264273565511,
      0.37995008652670437,
      0.37445092770616595,
      0.369027992418539,
      0.3636804488538445,
      0.35840738634502967,
      0.35320780613492286,
      0.34808043269822025,
      0.34302397029822485,
      0.33803721115090396,
      0.33311917514540035,
      0.3282693862387943,
      0.32348730944260806,
      0.3187724285861718,
      0.3141241856743302,
      0.3095418760156425,
      0.30502470261860143,
      0.3005718123972404,
      0.2961823203005472,
      0.29185532514588686,
      0.28758992046076876,
      0.28338524171821233,
      0.27924052555556433,
      0.27515499393950177,
      0.27112783857338874,
      0.26715823608752043,
      0.26324535745214456,
      0.25938844784453413,
      0.2555870742382125,
      0.25184079696925665,
      0.24814904846757305,
      0.2445111796511733,
      0.24092649118855766,
      0.23739425407972686,
      0.2339137238584887,
      0.23048414994593408,
      0.22710478170577378,
      0.2237748726882729,
      0.22049368325863267,
      0.21726048216722418,
      0.2140745074030379,
      0.2109349411211515,
      0.20784100132646394,
      0.20479194698290387,
      0.20178706824778225,
      0.1988256795894083,
      0.19590711531802082,
      0.19303072608871102,
      0.19019587702630852,
      0.18740194611656452,
      0.18464832308800455,
      0.18193440855142176,
      0.17925961347112646,
      0.17662335863554313,
      0.17402507459726435,
      0.171464200974897,
      0.16894018637531827,
      0.16645248818536298,
      0.16400057242361582,
      0.16158391327059252,
      0.15920199319870432,
      0.15685430286266175,
      0.15454034083381016,
      0.152259613437987,
      0.15001163448086766,
      0.14779592534963265,
      0.14561201478571317,
      0.143459438767334,
      0.14133774032951096,
      0.13924646954414116,
      0.13718518329136237,
      0.1351534452034038,
      0.13315082555146607,
      0.13117690102549034,
      0.12923125485725132,
      0.12731347648599153,
      0.125423161599164,
      0.12355991197597811,
      0.1217233353624672,
      0.11991304534586128,
      0.11812866133617941,
      0.11636980854093976,
      0.11463611758274536,
      0.11292722457932526,
      0.11124277126680825,
      0.10958240465748338,
      0.10794577692478596,
      0.10633254553404985,
      0.10474237297064702,
      0.10317492669483899,
      0.10162987907485867,
      0.10010690738079442,
      0.0986056935531721,
      0.09712592425457879,
      0.09566729082877973,
      0.09422948915528824,
      0.09281221950005733,
      0.09141518661005789,
      0.09003809953735258,
      0.0886806716622727,
      0.08734262060436249,
      0.0860236679574741,
      0.08472353940102632,
      0.08344196478101877,
      0.08217867789110182,
      0.08093341619099106,
      0.07970592115504956,
      0.07849593788107972,
      0.0773032152559477,
      0.07612750589953507,
      0.07496856594382299,
      0.07382615506627312,
      0.07270003646917933,
      0.07158997680805168,
      0.07049574600867087,
      0.06941711749980957,
      0.06835386786678775,
      0.06730577703557752,
      0.06627262809010055,
      0.06525420713617376,
      0.06425030347248593,
      0.06326070947088072,
      0.062285220484074984,
      0.06132363486288098,
      0.060375753793777416,
      0.059441381347032494,
      0.058520324421337463,
      0.05761239264462128,
      0.056717398473024136,
      0.05583515709321641,
      0.05496548623022257,
      0.05410820635585811,
      0.05326314050350629,
      0.05243011418492513,
      0.051608955500444045,
      0.05079949502060033,
      0.05000156576935894,
      0.04921500315278044,
      0.04843964477893216,
      0.04767533070946802,
      0.04692190338927579,
      0.04617920749326048,
      0.04544708981648128,
      0.04472539945192515,
      0.04401398757031592,
      0.04331270749693568,
      0.0426214148064133,
      0.04193996709823016,
      0.04126822388509162,
      0.04060604671123255,
      0.03995329908417152,
      0.03930984661809197,
      0.03867555676477501,
      0.03805029888289147,
      0.03743394420616838,
      0.03682636582191478,
      0.03622743860270541,
      0.035637039198947805,
      0.035055046089183674,
      0.034481339484569336,
      0.03391580124985067,
      0.03335831490680558,
      0.03280876570464557,
      0.03226704048057923,
      0.03173302779398509,
      0.03120661770743642,
      0.030687701914202527,
      0.030176173585598633,
      0.02967192753580572,
      0.029174859988968228,
      0.02868486867638711,
      0.028201852786721136,
      0.02772571294737125,
      0.027256350530972487,
      0.02679366408285025,
      0.026337553262645804,
      0.025887921046722145,
      0.025444672896921032,
      0.025007716473658802,
      0.02457696132565102,
      0.024152318688698812,
      0.023733701424611793,
      0.02332102359783703,
      0.02291420065413165,
      0.022513149318841186,
      0.022117787576175715,
      0.021728034602618032,
      0.021343810819628616,
      0.020965037721984207,
      0.020591637818336516,
      0.020223534957601264,
      0.01986065394171977,
      0.019502920663754517,
      0.01915026196381262,
      0.018802605864266863,
      0.018459881338446893,
      0.018122018490674272,
      0.017788948301231393,
      0.017460602788719373,
      0.017136914870820974,
      0.0168178184830714,
      0.01650324854902639,
      0.01619314080791758,
      0.015887431899841556,
      0.015586059473750885,
      0.015288961993977642,
      0.014996078727944038,
      0.014707349896130704,
      0.01442271657769767,
      0.014142120689433673,
      0.013865504878818997,
      0.013592812687118669,
      0.013323988499928708,
      0.013058977475405005,
      0.01279772550081037,
      0.012540179190426756,
      0.012286286051353176,
      0.012035994182299262,
      0.011789252521655236,
      0.011546010653654178,
      0.01130621950710413,
      0.01106983285542694,
      0.010836804902355628,
      0.010607089727255577,
      0.010380641461400773,
      0.010157414343098643,
      0.009937363142632912,
      0.009720443105687116,
      0.009506609835012093,
      0.009295819459603555,
      0.00908802885708886,
      0.00888319546542587,
      0.008681277249487734,
      0.00848223266337991,
      0.008286020709988016,
      0.008092601282845753,
      0.007901934639560775,
      0.007713981576785913,
      0.007528703511851236,
      0.0073460622993796005,
      0.007166020418766342,
      0.006988540966975454,
      0.006813587399133472,
      0.006641123715919279,
      0.006471114570600502,
      0.006303524983590431,
      0.006138320599828067,
      0.005975467407650443,
      0.005814931904268582,
      0.005656681110473653,
      0.0055006825749507925,
      0.005346904113193085,
      0.005195314171010467,
      0.005045881713542455,
      0.004898575982460475,
      0.004753366674276003,
      0.004610223935888814,
      0.004469118419144894,
      0.004330021070179669,
      0.004192903435369008,
      0.004057737186846102,
      0.003924494622232007,
      0.003793148282176853,
      0.003663671237062504,
      0.0035360369238843577,
      0.0034102191376376278,
      0.003286191947412252,
      0.00316392986823776,
      0.0030434077862647353,
      0.0029246009876702462,
      0.002807484991447097,
      0.0026920356952346873,
      0.002578229420527281,
      0.0024660428642797987,
      0.0023554529183080486,
      0.002246436845899214,
      0.0021389722687537895,
      0.0020330371109373445,
      0.001928609633258962,
      0.0018256683667859574,
      0.0017241921559201657,
      0.0016241601707564083,
      0.0015255518253514547,
      0.0014283469257508755,
      0.0013325253936649563,
      0.0012380674675893173,
      0.001144953771331682,
      0.0010531652571314483,
      0.0009626830800092084,
      0.0008734886955461242,
      0.000785563717122625,
      0.0006988900408653892,
      0.0006134498828272742,
      0.0005292256389689725,
      0.000446199988105592,
      0.00036435595724838485,
      0.0002836767150761859,
      0.00020414565865376313,
      0.00012574649442645625,
      4.846302158829318e-05,
      -2.7720556014070572e-05,
      -0.00010281994670041704,
      -0.00017685054606937395,
      -0.00024982750389917433,
      -0.00032176584094399804,
      -0.00039268036149272574,
      -0.0004625856988130446,
      -0.0005314961944543986,
      -0.000599425967394598,
      -0.0006663888993344952,
      -0.000732398771948838,
      -0.0007974692384035019,
      -0.0008616136605150103,
      -0.0009248452567182232,
      -0.0009871769630756576,
      -0.0010486216177605172,
      -0.0011091917378530992,
      -0.0011688998037881996,
      -0.0012277581112035392
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566886460429629,
      10.337087270500094,
      10.09962143165874,
      9.857472736137575,
      9.613066896051222,
      9.368504759138217,
      9.125611177209647,
      8.885893179676035,
      8.650545933505523,
      8.420477081128963,
      8.196309386159403,
      7.978397154976712,
      7.766853953998318,
      7.5615892175297565,
      7.362349000574905,
      7.168753330848496,
      6.980331203560974,
      6.796565794656409,
      6.616927980093812,
      6.440901534750723,
      6.267995870272352,
      6.097762436267235,
      5.929812462602594,
      5.763823052801091,
      5.599543076091868,
      5.436798341407816,
      5.275489767673033,
      5.115597937240877,
      4.957176301650574,
      4.800342917629976,
      4.645275432923457,
      4.492216559113421,
      4.341460106478305,
      4.193349835954563,
      4.048283584305909,
      3.9066722385589174,
      3.768917850633631,
      3.635400816086206,
      3.5064696193447586,
      3.3824337773493256,
      3.2635530059077733,
      3.150031139356727,
      3.0420143780001183,
      2.939589159905645,
      2.842774836538172,
      2.7515253771582913,
      2.6657365172594867,
      2.585259434109051,
      2.5098940900875255,
      2.439404174465671,
      2.3735434772850574,
      2.3120363067122645,
      2.2545751028329275,
      2.200831620393586,
      2.150432437406624,
      2.102993247231809,
      2.0581630613448008,
      2.015613127929441,
      1.9750433974268102,
      1.9361952636063657,
      1.8988621911485135,
      1.8628820465445255,
      1.8281228933622091,
      1.7944704316316262,
      1.7618298550388414,
      1.7301251188456177,
      1.6992938334329792,
      1.6692836964181101,
      1.6400499466542577,
      1.6115535404221757,
      1.5837587513695774,
      1.5566310338313132,
      1.5301394962257446,
      1.5042566404409468,
      1.4789576037927104,
      1.4542196204977644,
      1.4300216335554328,
      1.4063440120646122,
      1.3831683430047883,
      1.3604778483782818,
      1.3382577788982832,
      1.3164941621726545,
      1.2951732195297154,
      1.2742814892797358,
      1.2538059009231535,
      1.2337338180110877,
      1.2140530575262485,
      1.1947518960776473,
      1.1758190661125274,
      1.157243746040454,
      1.1390155470758665,
      1.1211250255035783,
      1.1035637897140023,
      1.0863247610118012,
      1.069402067296814,
      1.0527892512492687,
      1.0364794080702902,
      1.0204654247929321,
      1.0047401384497148,
      0.9892964385539644,
      0.9741282417457229,
      0.959230864383475,
      0.9445992511169243,
      0.9302279457073653,
      0.9161112949587845,
      0.9022435818467444,
      0.8886191129796014,
      0.8752322738992214,
      0.862077563788251,
      0.8491496159702814,
      0.8364432088806623,
      0.8239532717539447,
      0.8116748858486187,
      0.7996032825777825,
      0.7877338411714908,
      0.7760620842694483,
      0.764583673775923,
      0.7532944059218649,
      0.7421902060746889,
      0.7312671243923562,
      0.7205213306684206,
      0.7099491096596215,
      0.6995468568645213,
      0.6893110739281042,
      0.6792383644992677,
      0.669325430271502,
      0.6595690670619985,
      0.6499661613418236,
      0.6405136451243911,
      0.6312085004939769,
      0.6220478144888684,
      0.6130287716130282,
      0.6041486441220104,
      0.5954047850384845,
      0.5867946225322149,
      0.5783156555996178,
      0.569965450188491,
      0.5617415632020203,
      0.5536411500379477,
      0.5456613573922944,
      0.5377996018727699,
      0.5300534982272644,
      0.5224208108665697,
      0.5148994202332072,
      0.5074872999846166,
      0.500182500812335,
      0.49298313874958805,
      0.48588738682346294,
      0.47889346937753674,
      0.4719996572268925,
      0.4652042646592881,
      0.45850564657972975,
      0.4519021964106625,
      0.4453923442672012,
      0.4389745554623273,
      0.4326473291173589,
      0.4264091970351441,
      0.42025872222886806,
      0.4141944983065706,
      0.4082151485967689,
      0.40231932484181127,
      0.39650570655534123,
      0.39077300023435174,
      0.385119938429023,
      0.3795452791832118,
      0.3740478535567842,
      0.36862676139017886,
      0.36328113615806995,
      0.35801005356361926,
      0.3528124938732462,
      0.34768715993727345,
      0.3426327507161061,
      0.3376480548134249,
      0.33273219992744413,
      0.3278847170182149,
      0.3231050441753796,
      0.3183926584051964,
      0.3137469684566112,
      0.3091672473785349,
      0.3046526833915884,
      0.30020241332692826,
      0.29581554508758906,
      0.2914911730458416,
      0.28722838759327285,
      0.28302633756408213,
      0.2788842605847447,
      0.2748013712900091,
      0.2707768566767026,
      0.26680988995026383,
      0.26289963974477,
      0.2590453633685556,
      0.2552466462371098,
      0.2515030364179122,
      0.24781395785105456,
      0.24417875581500603,
      0.24059672710970406,
      0.2370671402525348,
      0.2335892490585852,
      0.23016230171885607,
      0.22678554684905025,
      0.22345823738565723,
      0.22017963324837783,
      0.21694900286901025,
      0.21376557647296943,
      0.21062853552974753,
      0.20753710091878014,
      0.20449053352124769,
      0.20148812468918864,
      0.1985291896844691,
      0.19561306316048932,
      0.1927390962506693,
      0.18990665440126483,
      0.18711511568626352,
      0.18436387004491525,
      0.1816523181028109,
      0.17897987084575337,
      0.17634594925520566,
      0.1737499836751111,
      0.1711914137166837,
      0.16866968803991977,
      0.16618426402353484,
      0.1637346074697613,
      0.16132019274350282,
      0.15894050243804514,
      0.15659502724610896,
      0.1542832656872015,
      0.1520047239319416,
      0.1497589158569517,
      0.1475453628662433,
      0.14536359366985444,
      0.14321314428009196,
      0.1410935577548449,
      0.13900438419637492,
      0.13694518047119839,
      0.1349155102806759,
      0.13291494388888084,
      0.1309430580479654,
      0.128999435968314,
      0.12708366720644734,
      0.12519534736868204,
      0.12333407817649218,
      0.12149946740460957,
      0.1196911287042087,
      0.11790868155279367,
      0.11615175108861371,
      0.1144199681094574,
      0.11271296887963066,
      0.11103039496043657,
      0.10937189343993432,
      0.10773711657601634,
      0.10612572184451047,
      0.10453737168625482,
      0.10297173366504372,
      0.10142848022263848,
      0.09990728862819763,
      0.09840784095039104,
      0.09692982399457652,
      0.09547292908427973,
      0.09403685211888506,
      0.09262129346885696,
      0.09122595788604548,
      0.08985055448031423,
      0.08849479664720236,
      0.0871584020297639,
      0.08584109227265592,
      0.08454259319379398,
      0.08326263461769073,
      0.08200095031857468,
      0.08075727792933796,
      0.07953135888990975,
      0.07832293845977667,
      0.07713176560423339,
      0.07595759291299682,
      0.07480017654437776,
      0.07365927631622352,
      0.07253465550080718,
      0.07142608081099301,
      0.07033332234126224,
      0.06925615342551543,
      0.06819435082186508,
      0.06714769452786294,
      0.0661159675854187,
      0.06509895631986133,
      0.0640964500726603,
      0.06310824126649756,
      0.06213412531295263,
      0.061173900575802714,
      0.06022736830077439,
      0.059294332632098004,
      0.05837460057326488,
      0.05746798188509612,
      0.05657428906089794,
      0.055693337305378135,
      0.05482494453334845,
      0.0539689312225327,
      0.05312512040018933,
      0.052293337731350975,
      0.051473411384994915,
      0.05066517195378459,
      0.04986845245329166,
      0.04908308832696005,
      0.04830891749529295,
      0.04754578009310807,
      0.04679351850777552,
      0.0460519774545303,
      0.045321003924071936,
      0.044600447065464274,
      0.04389015813437946,
      0.04318999064048729,
      0.042499800045091796,
      0.04181944394039929,
      0.04114878193111831,
      0.04048767584246861,
      0.03983598921078887,
      0.039193587633681165,
      0.03856033867274557,
      0.037936111780018676,
      0.03732077830467778,
      0.036714211300261874,
      0.03611628569489929,
      0.03552687824568573,
      0.03494586744306148,
      0.03437313354914218,
      0.0338085585790975,
      0.03325202614307222,
      0.03270342151367169,
      0.03216263168057012,
      0.03162954532322698,
      0.031104052531794414,
      0.030586045052438594,
      0.030075416166632157,
      0.029572060713413912,
      0.02907587493280731,
      0.028586756601121383,
      0.028104605115132908,
      0.027629321143336442,
      0.02716080666369151,
      0.026698965293237082,
      0.026243701891922957,
      0.025794922693112777,
      0.02535253528045766,
      0.024916448588978398,
      0.02448657285426662,
      0.02406281951557743,
      0.02364510147382716,
      0.023233332585154674,
      0.022827428055764834,
      0.022427304249600735,
      0.022032878895419248,
      0.021644069315043965,
      0.021260790686730258,
      0.02088296038263669,
      0.020510498299791218,
      0.020143326393832182,
      0.01978136831608394,
      0.019424549318347237,
      0.019072795870790558,
      0.018726035590473877,
      0.018384197383971863,
      0.018047211168694073,
      0.017715007903870962,
      0.017387519669862808,
      0.017064679478117063,
      0.01674642132069756,
      0.016432680108729378,
      0.016123391639750986,
      0.01581849277248118,
      0.015517921141007092,
      0.015221615362221707,
      0.014929514884062176,
      0.014641560053537943,
      0.014357691965562493,
      0.014077852569132715,
      0.013801984668837568,
      0.013530031884964946,
      0.013261938661370081,
      0.012997650264062278,
      0.012737112604664803,
      0.012480272441833458,
      0.012227077331490276,
      0.011977475561042119,
      0.011731416099259076,
      0.011488848688829075,
      0.011249723922463824,
      0.011013995243758573,
      0.010781617225149536,
      0.010552544194364681,
      0.01032673048106875,
      0.010104130530626382,
      0.009884699208708107,
      0.0096683916368271,
      0.009455163684352005,
      0.009244971674410544,
      0.009037772505108208,
      0.008833523633202736,
      0.008632183136076943,
      0.00843370959178423,
      0.00823806221561306,
      0.008045200782598929,
      0.007855085616092404,
      0.007667677584795487,
      0.007482938203418526,
      0.007300829475591058,
      0.0071213139418141854,
      0.006944354685113778,
      0.0067699153134634284,
      0.006597959931407656,
      0.006428453094516179,
      0.006261359924992233,
      0.006096646114508008,
      0.005934277738820847,
      0.0057742213980751834,
      0.005616444174843619,
      0.0054609136202025885,
      0.005307597746106367,
      0.005156464925033714,
      0.005007484275519691,
      0.0048606250508123686,
      0.004715856989083036,
      0.004573150436468799,
      0.0044324759059566525,
      0.004293804470859357,
      0.004157107638494024,
      0.004022357282642006,
      0.0038895257433151863,
      0.0037585856353625578,
      0.0036295100146006218,
      0.003502272392765131,
      0.003376846582814764,
      0.0032532067296204953,
      0.0031313273929213263,
      0.0030111835557840886,
      0.0028927505834433274,
      0.0027760040694409242,
      0.0026609199498416544,
      0.0025474744593952997,
      0.002435644337364585,
      0.0023254066409601052,
      0.0022167387504350745,
      0.002109618178664867,
      0.002004022870832524,
      0.0018999311306902038,
      0.0017973215542341537,
      0.0016961731685071542,
      0.0015964650693788495,
      0.0014981767846129115,
      0.0014012880728175652,
      0.0013057789711657499,
      0.0012116298504579513,
      0.0011188213765178957,
      0.0010273344404034017,
      0.000937150274273364,
      0.0008482503714797721,
      0.0007606163118701141,
      0.0006742300651251627,
      0.0005890739070086889,
      0.0005051302479981823,
      0.0004223818570537918,
      0.00034081176196233687,
      0.00026040316371877127,
      0.000181139548646619,
      0.00010300461077641198,
      2.5982270764553814e-05,
      -4.994338110623287e-05,
      -0.00012478784827228684,
      -0.0001985665242236614,
      -0.00027129466387503594,
      -0.0003429871952330839,
      -0.0004136588671824046,
      -0.00048332421202703914,
      -0.0005519976087014247,
      -0.0006196932439993606,
      -0.0006864248754695634,
      -0.0007522063373533494,
      -0.0008170511556977668,
      -0.0008809725633746207,
      -0.0009439837047665164,
      -0.0010060975664631768,
      -0.0010673269455500397,
      -0.0011276844489566658,
      -0.0011871825112362803,
      -0.0012458333987076207
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566883293010195,
      10.337071586125694,
      10.099585493883101,
      9.857411153229899,
      9.612975664401185,
      9.36838087498881,
      9.125452976582814,
      8.885700320452393,
      8.650318597847424,
      8.420215761461574,
      8.196014724742394,
      7.978069818176572,
      7.766494543700603,
      7.5611982018151656,
      7.361926698509617,
      7.168299797968565,
      6.979846234224116,
      6.796049172441264,
      6.616379517224624,
      6.44032117089716,
      6.267383892865261,
      6.097119316283235,
      5.929138838473252,
      5.763119839034142,
      5.598811484468957,
      5.436039896605442,
      5.274706344655933,
      5.1147918039263445,
      4.956350139927561,
      4.799499607416639,
      4.644418151779113,
      4.491348874264046,
      4.340585916142978,
      4.19247386624144,
      4.047410897479646,
      3.9058077848758197,
      3.76806636297303,
      3.6345667243973363,
      3.505657046907443,
      3.381646522752056,
      3.2627943295192074,
      3.1493037358724476,
      3.0413203670206386,
      2.938929999525613,
      2.842151135430612,
      2.7509368507478458,
      2.6651822773115192,
      2.5847379391045173,
      2.509403011748291,
      2.4389411612676066,
      2.3731060131471007,
      2.311621685267033,
      2.254180450969957,
      2.2004536972040367,
      2.1500676832479484,
      2.102638476384738,
      2.0578152984757856,
      2.015269603582488,
      1.9747018133333427,
      1.9358538316479736,
      1.89851960652911,
      1.8625373533424345,
      1.8277753591538832,
      1.7941194812804038,
      1.7614750981111067,
      1.7297663051601928,
      1.6989308131047862,
      1.6689163913666059,
      1.6396783295747244,
      1.6111776195343281,
      1.5833785830959402,
      1.5562466943492057,
      1.529751065464405,
      1.5038642003095422,
      1.4785612379750048,
      1.453819412964348,
      1.429617668029669,
      1.4059363717788405,
      1.382757110541133,
      1.3600631390098081,
      1.3378397289235309,
      1.3160728887663258,
      1.294748825736048,
      1.2738540680568,
      1.2533755383884229,
      1.2333005948692455,
      1.21361705040697,
      1.1943131785781569,
      1.1753777092382625,
      1.1567998189077513,
      1.1385691170612695,
      1.1206761863783086,
      1.103112636871861,
      1.0858715470102942,
      1.0689470532624126,
      1.052332631519077,
      1.0360213315371976,
      1.020006008858956,
      1.0042794788087315,
      0.9888346163416211,
      0.9736655688601787,
      0.9587676656705993,
      0.9441357557417454,
      0.9297643182168949,
      0.9156476562401327,
      0.9017800236297462,
      0.8881557072324859,
      0.8747690790169539,
      0.8616146289592077,
      0.8486869841372818,
      0.835980918912542,
      0.8234913596291643,
      0.8112133851084993,
      0.7991422256264216,
      0.7872732591880295,
      0.7756020075639365,
      0.7641241320046432,
      0.7528354282644998,
      0.7417318215018144,
      0.7308093612344312,
      0.7200642168852466,
      0.7094926731502199,
      0.699091125028446,
      0.6888560736744144,
      0.678784122269762,
      0.6688719720533445,
      0.6591164184662026,
      0.6495143478249212,
      0.6400626897586517,
      0.6307584260466818,
      0.6215986439394015,
      0.6125805278495482,
      0.6037013499348369,
      0.5949584632327052,
      0.5863492957021554,
      0.5778713459967748,
      0.5695221797597769,
      0.5612993783135966,
      0.553200132258196,
      0.5452215680551009,
      0.5373610884606712,
      0.529616298763169,
      0.5219849566401895,
      0.514464938143366,
      0.507054213868404,
      0.4997508320463495,
      0.49255290688800263,
      0.4854586102495649,
      0.47846616525933733,
      0.47157384212447995,
      0.4647799545144675,
      0.4580828568511668,
      0.4514809419223022,
      0.44497263930425307,
      0.43855641393713507,
      0.4322307643730455,
      0.4259942219480398,
      0.41984534963595715,
      0.41378274058861364,
      0.4078050175358404,
      0.4019108319050649,
      0.3960988628683732,
      0.3903678165497389,
      0.38471642514049637,
      0.37914344643665,
      0.37364776395863175,
      0.368228520375655,
      0.3628848206282844,
      0.35761572542089043,
      0.3524201900783946,
      0.3472968974575472,
      0.34224454180788044,
      0.33726190832567016,
      0.3323482321706521,
      0.3275030517663749,
      0.32272577830356347,
      0.3180158823659879,
      0.31337273967824275,
      0.30879560136057643,
      0.3042836406035411,
      0.2998359843055802,
      0.2954517336759435,
      0.2911299783196756,
      0.286869805512916,
      0.28267037762247804,
      0.2785309332443215,
      0.2744506798521093,
      0.27042879942297043,
      0.26646446165275117,
      0.26255683289310355,
      0.25870518446848895,
      0.25490911778758485,
      0.25116816856510904,
      0.24748175283717047,
      0.24384921048366787,
      0.2402698344859136,
      0.23674289075001392,
      0.23326763145943882,
      0.22984330353441013,
      0.22646915482710667,
      0.22314443760577016,
      0.2198684113403776,
      0.21664034435546484,
      0.21345945932410537,
      0.21032493688614784,
      0.20723600066460196,
      0.2041919132884077,
      0.20119196738862918,
      0.19823547907897626,
      0.1953217835668891,
      0.19245023237006859,
      0.18962019112429934,
      0.18683103805062817,
      0.1840821630776296,
      0.1813729670434019,
      0.178702861012981,
      0.17607126587481756,
      0.1734776120755302,
      0.17092133930777825,
      0.1684018960812758,
      0.16591873973500787,
      0.1634713362298255,
      0.16105915982981742,
      0.15868169317386235,
      0.15633842675156762,
      0.15402885910022412,
      0.15175249654565198,
      0.14950885300250988,
      0.14729744982718848,
      0.14511781571007246,
      0.14296948674756105,
      0.1408520059561968,
      0.13876492335959464,
      0.13670779596853896,
      0.1346801873807028,
      0.13268166788954122,
      0.13071181433911971,
      0.12877021002446234,
      0.1268564443692112,
      0.12497011312460966,
      0.12311081800240326,
      0.12127816686071156,
      0.11947177337454767,
      0.11769125702981029,
      0.11593624298930803,
      0.11420636199578763,
      0.11250125026744964,
      0.11082054963347589,
      0.10916390710917996,
      0.10753097502830117,
      0.1059214108557549,
      0.10433487720163488,
      0.10277104159145277,
      0.10122957642450738,
      0.0997101591135633,
      0.09821247181564724,
      0.09673620119105848,
      0.09528103873146768,
      0.09384668039154842,
      0.09243282660515867,
      0.0910391822086302,
      0.08966545627722583,
      0.0883113622818245,
      0.08697661782808727,
      0.08566094472190532,
      0.08436406881401215,
      0.08308572002104801,
      0.0818256322209284,
      0.0805835431050324,
      0.07935919417739669,
      0.07815233070702943,
      0.07696270177305697,
      0.07579006004044561,
      0.07463416183510581,
      0.07349476685623975,
      0.07237163841351593,
      0.07126454331727994,
      0.0701732517215469,
      0.06909753709015348,
      0.06803717620030571,
      0.06699194909487108,
      0.0659616388967367,
      0.06494603201976172,
      0.06394491782835059,
      0.06295808875987305,
      0.061985340407172206,
      0.06102647114554401,
      0.060081282237157675,
      0.059149577949668346,
      0.05823116538052684,
      0.05732585437113735,
      0.05643345757776193,
      0.05555379023479919,
      0.054686670245626325,
      0.0538319181786761,
      0.052989357161798235,
      0.05215881299668873,
      0.05134011390431675,
      0.05053309052776488,
      0.049737575991946115,
      0.04895340583585175,
      0.048180417899787706,
      0.04741845240260814,
      0.04666735188797127,
      0.045926961163661836,
      0.04519712715383654,
      0.04447769915073451,
      0.04376852841997795,
      0.04306946851965165,
      0.04238037510297488,
      0.041701105786563886,
      0.04103152036648795,
      0.04037148070844716,
      0.039720850455054746,
      0.03907949516317852,
      0.03844728242595236,
      0.037824081815272435,
      0.03720976470133117,
      0.036604204311093035,
      0.0360072756955569,
      0.03541885563059453,
      0.034838822655031,
      0.03426705715999416,
      0.03370344115441841,
      0.03314785839007656,
      0.03260019424836283,
      0.03206033569983598,
      0.031528171432536764,
      0.03100359168456216,
      0.030486488292606077,
      0.02997675465099477,
      0.02947428565809817,
      0.028978977560088437,
      0.02849072823252694,
      0.028009437023015088,
      0.027535004714162935,
      0.027067333536308868,
      0.026606327065212328,
      0.02615189022701364,
      0.025703929275983493,
      0.025262351930513148,
      0.02482706720302617,
      0.024397985336697084,
      0.023975017899583374,
      0.023558077705715233,
      0.0231470788302992,
      0.022741936585021768,
      0.022342567421899825,
      0.021948889064401244,
      0.021560820376188044,
      0.021178281380473167,
      0.020801193246088943,
      0.020429478264853192,
      0.02006305985907475,
      0.0197018625679218,
      0.019345811936269827,
      0.01899483460478026,
      0.018648858226080655,
      0.018307811544047686,
      0.017971624330828405,
      0.017640227226062538,
      0.01731355199969582,
      0.016991531354409988,
      0.016674098961057184,
      0.01636118911607181,
      0.016052734270342355,
      0.01574866724530145,
      0.015448923189360414,
      0.015153438979979391,
      0.014862152874638419,
      0.014575004516819952,
      0.014291934635937793,
      0.014012885024718659,
      0.013737798317437658,
      0.013466618057680475,
      0.013199288686888633,
      0.012935755383678641,
      0.012675964186080137,
      0.012419861996170473,
      0.012167396314547026,
      0.011918515460753303,
      0.011673168586770147,
      0.011431305445790813,
      0.011192876627784093,
      0.01095783510813086,
      0.010726135728113963,
      0.010497733126101813,
      0.010272581833279441,
      0.010050636445962591,
      0.009831851880048596,
      0.009616183461080764,
      0.009403587207206554,
      0.009194019510222268,
      0.008987437295113355,
      0.00878379809307581,
      0.008583060097389008,
      0.008385182069258871,
      0.008190123233346806,
      0.007997843435829743,
      0.007808303031329771,
      0.007621463051871041,
      0.007437285041133441,
      0.007255731100791748,
      0.007076763894544742,
      0.006900346482332032,
      0.006726442468123208,
      0.00655501606067979,
      0.006386031913843788,
      0.006219455376018509,
      0.006055252099564519,
      0.00589338821157609,
      0.005733830435166978,
      0.0055765459399501095,
      0.005421502359396492,
      0.00526866763832427,
      0.005118010397034973,
      0.004969499642625022,
      0.004823104755616478,
      0.004678795554114713,
      0.0045365423853504375,
      0.004396315875614508,
      0.004258087107770764,
      0.004121827717476982,
      0.003987509635650491,
      0.003855105162711006,
      0.0037245870379853507,
      0.003595928396264039,
      0.0034691026943278495,
      0.00334408389287342,
      0.0032208462142146615,
      0.003099364283120595,
      0.002979613128781296,
      0.0028615681564629456,
      0.002745204956143453,
      0.002630499448305284,
      0.002517428151914007,
      0.002405967825003149,
      0.0022960954752796426,
      0.0021877884924053665,
      0.002081024591175572,
      0.001975781819380641,
      0.0018720384461070913,
      0.0017697730547919495,
      0.0016689645416104806,
      0.001569592229825292,
      0.0014716356678950472,
      0.001375074746339445,
      0.001279889548728305,
      0.0011860604135671825,
      0.0010935680288516913,
      0.001002393336998557,
      0.0009125176256554208,
      0.0008239224095619973,
      0.000736589459807055,
      0.0006505007895032478,
      0.0005656385195278169,
      0.00048198531098399354,
      0.00039952388991845234,
      0.00031823732934538123,
      0.00023810884932482326,
      0.00015912198632012797,
      8.12604014174916e-05,
      4.508159690763981e-06,
      -7.115058683152467e-05,
      -0.00014573147059552822,
      -0.00021924983613283476,
      -0.0002917207751109973,
      -0.0003631592109088634,
      -0.00043357981722590394,
      -0.0005029971138576793,
      -0.0005714254537883198,
      -0.0006388789139926796,
      -0.0007053713827448827,
      -0.000770916531298149,
      -0.0008355279375877649,
      -0.0008992188404976996,
      -0.0009620022555046384,
      -0.0010238911657327314,
      -0.0010848983247627572,
      -0.0011450363322057246,
      -0.0012043175432145266,
      -0.001262754206034555
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56688013617019,
      10.337055946282756,
      10.099549664170018,
      9.857349746279867,
      9.612884673979242,
      9.368257296492622,
      9.125295142321232,
      8.885507886071261,
      8.650091742616553,
      8.419954975311096,
      8.19572064869454,
      7.977743116397627,
      7.766135818070926,
      7.560807919389059,
      7.361505177571551,
      7.167847007514568,
      6.979361979584293,
      6.795533247677663,
      6.61583174339928,
      6.439741486288339,
      6.266772584825007,
      6.096476862861514,
      5.928465886210756,
      5.762417309188723,
      5.598080593942491,
      5.435282174239386,
      5.273923669179372,
      5.1139864451185355,
      4.9555247814223105,
      4.798657129427985,
      4.6435617311539135,
      4.490482077608544,
      4.339712630967152,
      4.1915988037727185,
      4.0465391041415995,
      3.9049441966690157,
      3.7672156994402335,
      3.6337334036586943,
      3.504845180605149,
      3.380859899476729,
      3.262036201006108,
      3.1485767892693013,
      3.0406267160907787,
      2.9382710976722537,
      2.8415275928421586,
      2.750348393297118,
      2.6646280279968417,
      2.5842163933181617,
      2.5089118715432273,
      2.438478080197683,
      2.3726684806136724,
      2.3112070007524697,
      2.2537857463979782,
      2.200075735956594,
      2.1497029017078213,
      2.1022836935962856,
      2.0574675440494747,
      2.014926112484193,
      1.9743602894141057,
      1.9355124880559096,
      1.8981771393161668,
      1.8621928066899462,
      1.8274280029261456,
      1.793768744791351,
      1.761120593322473,
      1.7294077834064099,
      1.6985681250933171,
      1.6685494589998056,
      1.639307125235064,
      1.6108021510958992,
      1.5829989055939326,
      1.5558628829132093,
      1.5293631988652407,
      1.503472359702771,
      1.4781655055828904,
      1.4534198718653262,
      1.4292144009173677,
      1.4055294609774618,
      1.382346637443516,
      1.3596492182362556,
      1.337422497168532,
      1.3156524626696884,
      1.2943253074394472,
      1.2734275500642032,
      1.2529461060513374,
      1.2328683281220427,
      1.2131820253097614,
      1.1938754680557506,
      1.1749373838785648,
      1.1563569473092892,
      1.1381237660346135,
      1.1202284487763585,
      1.1026626118530798,
      1.085419488417008,
      1.0684932192486967,
      1.0518772142256556,
      1.0355644779255817,
      1.0195478351203742,
      1.0038200797885195,
      0.9883740721285929,
      0.9732041904615266,
      0.9583057769420426,
      0.9436735849100413,
      0.9293020292968535,
      0.9151853695849886,
      0.9013178301779732,
      0.8876936781554057,
      0.8743072723120052,
      0.861153093560587,
      0.8482257627739694,
      0.8355200499227293,
      0.8230308783456117,
      0.8107533248682348,
      0.7986826184596623,
      0.7868141360336535,
      0.7751433987764468,
      0.763666067365643,
      0.7523779367523851,
      0.7412749315575677,
      0.7303531009645284,
      0.7196086139994389,
      0.7090377550912602,
      0.6986369186332955,
      0.6884026056130995,
      0.6783314187109312,
      0.6684200588025246,
      0.658665321119689,
      0.6490640915068037,
      0.6396132974740852,
      0.6303099199969616,
      0.6211510469020816,
      0.6121338628989162,
      0.6032556398751393,
      0.594513730608303,
      0.58590556302848,
      0.5774286352459514,
      0.5690805123969592,
      0.5608588007308521,
      0.5527607263278961,
      0.5447833948541895,
      0.5369241950337099,
      0.5291807228429085,
      0.5215507295505656,
      0.5140320866066963,
      0.5066227613591568,
      0.49932079959370357,
      0.4921243137119563,
      0.48503147438590555,
      0.4780405039708132,
      0.4711496718464296,
      0.464357290945284,
      0.4576617151367815,
      0.4510613368082553,
      0.4445545851545657,
      0.4381399245434524,
      0.43181585326639726,
      0.42558090214508454,
      0.41943363355753094,
      0.41337264040418653,
      0.4073965450705641,
      0.40150399851597596,
      0.3956936795444823,
      0.3899642938536168,
      0.38431457345067344,
      0.3787432756254253,
      0.3732493634363997,
      0.3678319857662131,
      0.36249022376818657,
      0.35722312313299004,
      0.3520296162730836,
      0.34690836710173856,
      0.3418580655766717,
      0.33687753266981063,
      0.3319660913056996,
      0.3271232487227781,
      0.3223484004289698,
      0.31764100905221926,
      0.3130004210412013,
      0.30842586785672726,
      0.30391650938757087,
      0.29947146355212445,
      0.29508982556735147,
      0.29077068097869063,
      0.2865131147646902,
      0.28231630342638386,
      0.27817948540105514,
      0.27410186097730915,
      0.27008260736606343,
      0.26612089110615156,
      0.2622158764280397,
      0.2583668593847867,
      0.25457344252235337,
      0.2508351509696945,
      0.24715139337952052,
      0.24352150461937305,
      0.2399447743598269,
      0.23642046623468635,
      0.23294783075065106,
      0.22952611396763872,
      0.226154562836406,
      0.22283242925044763,
      0.21955897240840525,
      0.21633346023558303,
      0.21315510792911,
      0.21002309548947226,
      0.2069366491303192,
      0.20389503340589885,
      0.2008975420860857,
      0.19794349207238998,
      0.195032219214602,
      0.19216307532489155,
      0.18933542629081532,
      0.1865486506443988,
      0.1838021383790077,
      0.181095290239924,
      0.17842751729456002,
      0.17579824043909706,
      0.17320689017038957,
      0.17065290615881226,
      0.16813573693277284,
      0.1656548398710737,
      0.16320968095687863,
      0.16079973451555427,
      0.1584244830564572,
      0.15608341718081786,
      0.1537760353581209,
      0.15150184385059,
      0.14926035662721318,
      0.14705109511442682,
      0.1448735880627433,
      0.14272737142105052,
      0.14061198825032412,
      0.13852698870858085,
      0.1364719297192801,
      0.13444637493918757,
      0.13244989468882198,
      0.13048206581339342,
      0.12854247149337808,
      0.12663070129706477,
      0.1247463509466496,
      0.12288902225016513,
      0.12105832298781438,
      0.11925386690660393,
      0.11747527349770412,
      0.11572216800239246,
      0.11399418130864739,
      0.11229094959850344,
      0.11061211468725243,
      0.1089573236167214,
      0.1073262288449371,
      0.10571848782374477,
      0.10413376310167279,
      0.1025717223223671,
      0.10103203804965595,
      0.09951438769803955,
      0.0980184533582503,
      0.09654392186787958,
      0.09509048468150469,
      0.0936578378268217,
      0.09224568176172156,
      0.0908537213609218,
      0.0894816658735735,
      0.08812922870488088,
      0.08679612765759884,
      0.08548208453025764,
      0.08418682528941986,
      0.08291007987789323,
      0.08165158207191324,
      0.08041106961892044,
      0.07918828416378855,
      0.07798297105851942,
      0.07679487938194299,
      0.07562376189674937,
      0.0744693749275186,
      0.07333147846448815,
      0.07220983584466974,
      0.07110421377291132,
      0.07001438246944304,
      0.06894011555673771,
      0.0678811899301938,
      0.06683738564045094,
      0.06580848587984238,
      0.06479427707557929,
      0.06379454874662469,
      0.0628090933879534,
      0.06183770651532848,
      0.06088018670503641,
      0.059936335374912865,
      0.059005956776067646,
      0.05808885809060829,
      0.057184849222167246,
      0.056293742841435325,
      0.055415354254340174,
      0.0545495014170131,
      0.053696005027194425,
      0.05285468831754578,
      0.05202537706505335,
      0.05120789956246675,
      0.05040208657052934,
      0.04960777121559567,
      0.048824789119368966,
      0.048052978247971084,
      0.047292178973932265,
      0.04654223383528903,
      0.04580298775157213,
      0.04507428775875252,
      0.04435598316276089,
      0.04364792544379198,
      0.04294996812763324,
      0.04226196684288079,
      0.04158377935751801,
      0.04091526556956735,
      0.040256287273712256,
      0.03960670825640856,
      0.038966394236387016,
      0.03833521290804969,
      0.03771303381710761,
      0.03709972844115586,
      0.03649517007665335,
      0.03589923373964417,
      0.035311796346473905,
      0.03473273658366219,
      0.03416193483569322,
      0.03359927320482875,
      0.0330446354871481,
      0.03249790716104592,
      0.03195897534102681,
      0.0314277288014711,
      0.030904057765053828,
      0.030387854100583797,
      0.029879011298351986,
      0.029377424254422527,
      0.028882989400663535,
      0.02839560468815192,
      0.02791516951277362,
      0.027441584741884614,
      0.02697475262574393,
      0.02651457673981884,
      0.02606096219299932,
      0.025613815377339918,
      0.025173044002706774,
      0.02473855707927064,
      0.024310265108812637,
      0.02388807958811929,
      0.023471913457861225,
      0.023061680812769634,
      0.022657296959806925,
      0.022258678487615546,
      0.021865743226126194,
      0.02147841005216767,
      0.021096599099851687,
      0.020720231524070445,
      0.02034922967529666,
      0.019983517139146628,
      0.0196230183924363,
      0.019267659105344163,
      0.01891736605392223,
      0.018572066909361612,
      0.018231690502003937,
      0.017896166606053695,
      0.01756542593778771,
      0.017239400354970486,
      0.016918022583414526,
      0.016601226385985164,
      0.016288946417342062,
      0.015981118241646688,
      0.015677678391408954,
      0.015378564290671757,
      0.015083714327744142,
      0.014793067613621107,
      0.014506564233177536,
      0.014224145162885431,
      0.01394575217289417,
      0.013671327853403178,
      0.013400815510296583,
      0.013134159464478736,
      0.012871304737999472,
      0.012612197061270619,
      0.01235678307378791,
      0.012105010038235449,
      0.011856826123750261,
      0.01161218003699421,
      0.011371021387399968,
      0.01113330044478628,
      0.010898968772099758,
      0.010667978062126814,
      0.010440280531092834,
      0.010215829107872988,
      0.009994577395672558,
      0.009776479770003028,
      0.009561491231365606,
      0.00934956738145301,
      0.009140664535115138,
      0.008934739600069921,
      0.008731750130326819,
      0.008531654299602355,
      0.008334410902635963,
      0.008139979193429188,
      0.007948319119957187,
      0.007759391084082499,
      0.00757315621888974,
      0.007389576096130694,
      0.007208612931751604,
      0.007030229342129758,
      0.006854388579029737,
      0.006681054334574326,
      0.006510190980470866,
      0.00634176323716297,
      0.006175736379059119,
      0.006012076206291556,
      0.005850748935963658,
      0.005691721336774641,
      0.005534960725872243,
      0.005380434770395241,
      0.00522811155164518,
      0.00507795956696436,
      0.004929947873194062,
      0.004784046009749087,
      0.004640223980946605,
      0.0044984520554838215,
      0.004358701031451757,
      0.004220942115358678,
      0.0040851468790305875,
      0.00395128740262914,
      0.0038193359994769067,
      0.0036892654891440206,
      0.0035610491352874103,
      0.003434660464290016,
      0.0033100734160280477,
      0.003187262311319459,
      0.0030662018273786493,
      0.0029468670513541546,
      0.0028292332806455697,
      0.0027132763075289625,
      0.002598972324202234,
      0.0024862976957168103,
      0.0023752291725850634,
      0.002265743818516958,
      0.0021578191430813767,
      0.002051432879776978,
      0.001946563095960928,
      0.0018431881829371758,
      0.0017412868411160675,
      0.0016408381173638432,
      0.0015418212462424486,
      0.0014442158613013005,
      0.0013480017431413674,
      0.0012531590584306095,
      0.0011596683008175215,
      0.0010675102271217405,
      0.000976665826471278,
      0.0008871163409995401,
      0.0007988433067126644,
      0.0007118285636690552,
      0.0006260542865170207,
      0.0005415026472982496,
      0.00045815622263100996,
      0.00037599782331739233,
      0.00029501056080002297,
      0.00021517771054513363,
      0.00013648293282744582,
      5.89099031981422e-05,
      -1.7557484387499154e-05,
      -9.293488838726832e-05,
      -0.0001672377844265437,
      -0.000240481615316514,
      -0.000312681349000269,
      -0.0003838518300604167,
      -0.0004540078506089506,
      -0.0005231638649517978,
      -0.0005913341162029946,
      -0.0006585326159874954,
      -0.0007247731548685863,
      -0.000790069496461463,
      -0.000854435157793349,
      -0.0009178833735241868,
      -0.0009804271096033848,
      -0.0010420792668520956,
      -0.0011028525599179782,
      -0.001162759573545532,
      -0.0012218126147050088,
      -0.0012800238755558038
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566876986959576,
      10.337040338771144,
      10.099513923538964,
      9.857288482990667,
      9.612793875334866,
      9.368133951134222,
      9.12513757750136,
      8.88531575141997,
      8.64986521223047,
      8.419694534029846,
      8.195426932678432,
      7.977416787293926,
      7.765777473809653,
      7.560418023882505,
      7.361084046988344,
      7.1673946102238055,
      6.97887812208668,
      6.795017724692643,
      6.615284378276966,
      6.439162203460573,
      6.266161657333157,
      6.095834773938131,
      5.927793286291918,
      5.76171512256506,
      5.597350041122399,
      5.434524786669292,
      5.27314132702385,
      5.113181419255035,
      4.954699754008254,
      4.797814980627463,
      4.642705638250463,
      4.489615606931203,
      4.338839660406574,
      4.190724032545948,
      4.0456675687039425,
      3.9040808226366157,
      3.766365195567516,
      3.6329001774261167,
      3.5040333351612802,
      3.380073215411533,
      3.261277923748173,
      3.147849601532135,
      3.039932728329692,
      2.9376117615696766,
      2.840903521489571,
      2.749759324368412,
      2.6640730973754874,
      2.583694108335097,
      2.50841994641776,
      2.438014179812987,
      2.3722301046937257,
      2.3107914599394426,
      2.2533901584102893,
      2.1996968540369615,
      2.1493371788131546,
      2.101927962582971,
      2.057118846195446,
      2.014581692838757,
      1.974017860323532,
      1.9351702687526744,
      1.8978338300831914,
      1.861847454598024,
      1.8270798805391575,
      1.7934172855935666,
      1.7607654125344903,
      1.729048633906357,
      1.6982048586496914,
      1.6681819971399952,
      1.6389354393576796,
      1.6104262484618523,
      1.5826188404998773,
      1.5554787289756657,
      1.5289750339013102,
      1.5030802635179927,
      1.477769559019237,
      1.453020156447304,
      1.4288109982300132,
      1.4051224520791024,
      1.3819361029215158,
      1.3592352713555,
      1.337005272622619,
      1.3152320759321383,
      1.2939018605797161,
      1.273001134884538,
      1.2525168066783363,
      1.2324362233559027,
      1.2127471903234206,
      1.1934379747806065,
      1.1744973021106988,
      1.1559143449074771,
      1.137678709123981,
      1.1197810295808417,
      1.1022129947260555,
      1.0849679584007876,
      1.0680400002679646,
      1.0514224750184202,
      1.035108349229863,
      1.0190904220223989,
      1.0033614695013042,
      0.9879144366473814,
      0.9727438834758483,
      0.957845068942586,
      0.9432126681037255,
      0.9288410429989252,
      0.9147244179189014,
      0.900856993335777,
      0.8872330200369937,
      0.8738468456759751,
      0.8606929434095767,
      0.8477659291510423,
      0.8350605695650865,
      0.8225717858098123,
      0.8102946531301131,
      0.7982243991422197,
      0.7863563998749025,
      0.7746861757278399,
      0.7632093867021646,
      0.7519218271449445,
      0.740819421438364,
      0.7298982186019248,
      0.7191543871035706,
      0.708584210688148,
      0.6981840837416728,
      0.6879505066899894,
      0.6778800819260414,
      0.6679695100228078,
      0.6582155859348802,
      0.6486151952455775,
      0.6391652628954929,
      0.6298627693159813,
      0.620704802659973,
      0.6116885474526091,
      0.6028112758708126,
      0.5940703405318398,
      0.5854631687991254,
      0.5769872588947994,
      0.5686401757465477,
      0.5604195478790827,
      0.5523226379825967,
      0.5443465332477214,
      0.5364886082734678,
      0.5287464489983225,
      0.5211177998359803,
      0.5136005278489939,
      0.5061925970459024,
      0.4988920508788398,
      0.491697000255191,
      0.484605614417936,
      0.4776161146035209,
      0.4707267695007681,
      0.46393589141525965,
      0.45724183354465175,
      0.4506429877307806,
      0.44413778274242366,
      0.4377246825580063,
      0.43140218488156945,
      0.4251688202266008,
      0.4190231505798401,
      0.41296376848970906,
      0.4069892959212985,
      0.4010983835180058,
      0.39528970974007416,
      0.3895619797810649,
      0.3839139252840077,
      0.37834432050084227,
      0.37285219880834164,
      0.3674366980410585,
      0.36209688233789766,
      0.3568317796205634,
      0.35164030068841134,
      0.3465210920750948,
      0.3414728406325398,
      0.336494421734871,
      0.33158523653691474,
      0.32674474305887097,
      0.3219723346184275,
      0.3172674541799028,
      0.31262942174107683,
      0.3080574508104461,
      0.3035506893753738,
      0.2991082471800266,
      0.2947292139563092,
      0.29041267155291894,
      0.28615770997895756,
      0.2819635165553134,
      0.27782932217244727,
      0.27375432142194445,
      0.2697376875387371,
      0.26577858439592755,
      0.26187617452529055,
      0.25802977910140235,
      0.2542390019570153,
      0.2505033576433435,
      0.24682224758854046,
      0.24319500179319264,
      0.23962090658389354,
      0.2360992233649976,
      0.23262920122494005,
      0.229210085126274,
      0.22584112133939205,
      0.22252156118459399,
      0.2192506634162998,
      0.21602769578126396,
      0.21285186599213282,
      0.20972235340177173,
      0.206638386920607,
      0.20359923286769024,
      0.20060418632170188,
      0.19765256497729203,
      0.1947437052048689,
      0.19187695912946595,
      0.18905169280727532,
      0.18626728481973018,
      0.1835231253059947,
      0.18081861518903494,
      0.1781531656186411,
      0.17552619745202203,
      0.17293714116453318,
      0.17038543640887374,
      0.16787053183853287,
      0.16539188473096528,
      0.16294896103937304,
      0.16054123504700318,
      0.1581681893860455,
      0.15582931462092905,
      0.1535241093800846,
      0.151252079828776,
      0.14901273992574374,
      0.14680561098221578,
      0.14463022183925014,
      0.14248610843652426,
      0.14037281393553674,
      0.1382898883669117,
      0.1362368886543274,
      0.13421337849282694,
      0.13221892825316753,
      0.13025311479194832,
      0.12831552142095407,
      0.12640573767298888,
      0.12452335932879624,
      0.12266798822113058,
      0.12083923228036408,
      0.11903670519165264,
      0.11726002640748429,
      0.11550882116557178,
      0.11378272034707008,
      0.11208136028270711,
      0.1104043827738444,
      0.1087514349785193,
      0.1071221692829365,
      0.10551624327937961,
      0.10393331956374752,
      0.1023730657471229,
      0.10083515446464261,
      0.09931926314689911,
      0.09782507386474203,
      0.09635227355837273,
      0.09490055385054283,
      0.09346961073591006,
      0.09205914472406868,
      0.09066886076902653,
      0.08929846814406951,
      0.08794768039520283,
      0.08661621516300592,
      0.08530379446423637,
      0.08401014426335274,
      0.08273499449367125,
      0.08147807914352685,
      0.08023913598750698,
      0.07901790670995462,
      0.07781413672719649,
      0.07662757523628613,
      0.07545797498452614,
      0.07430509242088375,
      0.07316868749486066,
      0.07204852368718849,
      0.07094436783407883,
      0.0698559901416894,
      0.06878316418096744,
      0.06772566693919414,
      0.06668327858505897,
      0.06565578250319955,
      0.06464296508893362,
      0.06364461595179777,
      0.06266052766627854,
      0.06169049584246778,
      0.06073431905150088,
      0.05979179887052262,
      0.05886273956641856,
      0.05794694825710726,
      0.0570442349817839,
      0.056154412498701047,
      0.05527729629378323,
      0.054412704475111644,
      0.05356045768684647,
      0.052720379169480025,
      0.051892294759812135,
      0.05107603281791615,
      0.05027142420178669,
      0.049478302232238154,
      0.04869650256869877,
      0.047925863233613045,
      0.0471662245503391,
      0.04641742929337733,
      0.0456793223485149,
      0.0449517508294904,
      0.04423456408196683,
      0.043527613635930475,
      0.042830753134297565,
      0.04214383842562527,
      0.041466727401201595,
      0.0407992798587262,
      0.04014135765359737,
      0.03949282466373846,
      0.0388535466476824,
      0.03822339134213822,
      0.03760222850021882,
      0.03698992956532085,
      0.03638636793050312,
      0.03579141882335604,
      0.03520495916323359,
      0.03462686762826913,
      0.03405702475165061,
      0.0334953126272831,
      0.032941615229110544,
      0.03239581804095649,
      0.03185780817258677,
      0.03132747444701389,
      0.030804707335337297,
      0.030289398707152335,
      0.029781442041183614,
      0.029280732416279317,
      0.028787166362257186,
      0.028300641901066757,
      0.027821058447004745,
      0.02734831689723009,
      0.02688231955593819,
      0.026422970172239237,
      0.025970173818343892,
      0.025523836893494377,
      0.025083867165100908,
      0.024650173827864413,
      0.02422266738380305,
      0.023801259508435917,
      0.023385863105922663,
      0.022976392394492447,
      0.02257276279328523,
      0.02217489091577591,
      0.021782694561499946,
      0.021396092766190478,
      0.0210150057091381,
      0.02063935471241658,
      0.020269062233331803,
      0.019904051726038777,
      0.0195442477998068,
      0.019189576165583866,
      0.018839963599417624,
      0.01849533797357794,
      0.018155628101224813,
      0.017820763769243717,
      0.017490675914875537,
      0.0171652963932221,
      0.016844557951837123,
      0.0165283943362906,
      0.01621674039934357,
      0.01590953184560215,
      0.015606705145037968,
      0.015308197735531348,
      0.015013948025657399,
      0.014723895204286479,
      0.014437979421841265,
      0.014156141733939127,
      0.013878323946560118,
      0.013604468763190242,
      0.013334519655492101,
      0.013068420909011147,
      0.012806117525424043,
      0.012547555445797595,
      0.012292681135024849,
      0.01204144210357268,
      0.011793786434149458,
      0.011549662998281971,
      0.011309021452695482,
      0.011071812162712151,
      0.01083798679552573,
      0.010607499606430643,
      0.010380305563368662,
      0.010156359335474065,
      0.009935615617873863,
      0.00971802940574713,
      0.009503556122861821,
      0.009292151605671903,
      0.009083772178239686,
      0.008878374665419398,
      0.008675916458663955,
      0.008476355679634144,
      0.008279650952348505,
      0.008085761368097556,
      0.007894646611043705,
      0.007706266952679641,
      0.007520583305972661,
      0.00733755712277557,
      0.007157150401750388,
      0.0069793256663045885,
      0.006804045932069739,
      0.006631274803556987,
      0.006460976324922179,
      0.0062931150423121114,
      0.006127656163788991,
      0.005964565301975796,
      0.005803808568150781,
      0.005645352000265032,
      0.005489160717229582,
      0.0053352007223045235,
      0.005183439042853598,
      0.005033843410085361,
      0.004886382463331618,
      0.004741025416986423,
      0.004597741958780261,
      0.004456502334435033,
      0.0043172773008060775,
      0.004180038023846043,
      0.004044756156107081,
      0.0039114038275477065,
      0.0037799535295612733,
      0.0036503779815898712,
      0.0035226504503166945,
      0.0033967445937208864,
      0.0032726344532199147,
      0.003150294447097486,
      0.00302969923198696,
      0.002910823915299775,
      0.002793643950945579,
      0.0026781352335191492,
      0.0025642739847551747,
      0.002452036634937464,
      0.0023414000227470525,
      0.0022323412982129197,
      0.0021248379092822815,
      0.0020188677740094257,
      0.0019144090603499236,
      0.0018114402912884364,
      0.0017099399933110282,
      0.0016098872483575769,
      0.001511261401605449,
      0.00141404210778999,
      0.0013182093848019983,
      0.0012237434589165255,
      0.001130624827169811,
      0.0010388342061912784,
      0.0009483527236381579,
      0.0008591617360418941,
      0.0007712427683535274,
      0.0006845777021674835,
      0.0005991486537011805,
      0.0005149380053291185,
      0.0004319283364776924,
      0.00035010258434359925,
      0.00026944381126101796,
      0.00018993541834841756,
      0.0001115609657170763,
      3.430426052791535e-05,
      -4.185059196481568e-05,
      -0.00011691928898326635,
      -0.00019091729647497416,
      -0.0002638598779762736,
      -0.00033576216098220085,
      -0.0004066390181101467,
      -0.0004765050873933726,
      -0.0005453747343480597,
      -0.0006132621402146728,
      -0.0006801813002522057,
      -0.0007461460468523958,
      -0.0008111700150023114,
      -0.0008752666575560721,
      -0.0009384491961592681,
      -0.001000730635160426,
      -0.0010621238188166056,
      -0.0011226414246542505,
      -0.0011822958987409745,
      -0.001241099568074234,
      -0.001299064561705496
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.5668738423266,
      10.337024748643806,
      10.099478192762357,
      9.857227203054194,
      9.612703033253037,
      9.368010533191434,
      9.12497990901636,
      8.885123482020855,
      8.649638517429894,
      8.419433901065515,
      8.195133000374643,
      7.9770902170806774,
      7.765418865172153,
      7.56002784224951,
      7.360662610278218,
      7.166941888551863,
      6.978393922691846,
      6.794501842919557,
      6.614736637371752,
      6.438582529290034,
      6.2655503245566635,
      6.095192266722389,
      5.927120256821052,
      5.761012495344637,
      5.596619036385784,
      5.433766935668863,
      5.272358510465419,
      5.112375909926556,
      4.953874236379389,
      4.796972335057734,
      4.641849041064879,
      4.48874862440793,
      4.337966163167965,
      4.189848709405902,
      4.044795446267936,
      3.903216817976464,
      3.7655140115830763,
      3.6320662171827873,
      3.5032206973942954,
      3.3792856770090753,
      3.260518726749309,
      3.1471214258926286,
      3.0392376826992398,
      2.9369512972963987,
      2.840278256416467,
      2.749169008475063,
      2.6635168782738012,
      2.5831705052723293,
      2.5079266847024804,
      2.4375489328989652,
      2.3717903808445944,
      2.310374577418194,
      2.2529932245925295,
      2.1993166179955,
      2.148970096198248,
      2.1015708695910873,
      2.0567687960948886,
      2.0142359407574557,
      1.9736741262541686,
      1.9348267773524621,
      1.897489285399423,
      1.861500905964673,
      1.8267306037072888,
      1.7930647189054936,
      1.7604091733756249,
      1.7286884759103773,
      1.69784063314933,
      1.6678136254744331,
      1.638562892389135,
      1.610049531970495,
      1.5822380071848783,
      1.555093851362782,
      1.5285861875573845,
      1.5026875270372873,
      1.4773730123191173,
      1.452619879763139,
      1.4284070713496335,
      1.4047149549339981,
      1.3815251144805627,
      1.3588209038994228,
      1.3365876600444613,
      1.3148113324847168,
      1.2934780869514755,
      1.2725744216975183,
      1.252087237796664,
      1.2320038774266922,
      1.2123121415649214,
      1.1930002947458276,
      1.1740570593223185,
      1.155471606177506,
      1.1372335404216458,
      1.1193335226981072,
      1.1017633295373566,
      1.08451642729492,
      1.0675868177614936,
      1.0509678034131393,
      1.034652314774176,
      1.0186331264406436,
      1.0029029976162636,
      0.9874549862447204,
      0.9722838199079844,
      0.9573846470866075,
      0.9427520698052366,
      0.928380400612493,
      0.9142638305196049,
      0.900396537410575,
      0.8867727568107414,
      0.8733868261552645,
      0.8602332120189695,
      0.8473065253579274,
      0.8346015294310928,
      0.822113143114642,
      0.8098364399696298,
      0.7977666463581061,
      0.7858991375712939,
      0.7742294332148715,
      0.7627531927829027,
      0.7514662104918499,
      0.7403644102205733,
      0.7294438402791681,
      0.7187006690728333,
      0.7081311797750942,
      0.6977317664949478,
      0.6874989293595611,
      0.6774292705844998,
      0.6675194904472391,
      0.6577663832758803,
      0.6481668340923616,
      0.6387177658298608,
      0.6294161584794662,
      0.6202591003942748,
      0.6112437763225972,
      0.6023674583241901,
      0.5936274988561178,
      0.5850213252484031,
      0.5765464352751724,
      0.568200393450951,
      0.5599808279386697,
      0.5518850496270461,
      0.5439101500840272,
      0.5360534861143633,
      0.528312631424554,
      0.520685321906084,
      0.5131694184778597,
      0.5057628811276677,
      0.4984637506022375,
      0.49127013569174804,
      0.4841802041742752,
      0.4771921761573327,
      0.47030431934996997,
      0.4635149452185269,
      0.4568224063303671,
      0.4502250940480458,
      0.44372143662728203,
      0.43730989754446076,
      0.430988974235326,
      0.4247571967148443,
      0.41861312661704153,
      0.41255535594719855,
      0.4065825063378737,
      0.4006932281271293,
      0.3948861992884496,
      0.3891601248254065,
      0.3835137359236315,
      0.3779458478629089,
      0.37245555187489227,
      0.36704195282710694,
      0.36170410087056043,
      0.35644100681588076,
      0.351251557835098,
      0.34613439008564956,
      0.3410881875129884,
      0.33611188832281746,
      0.3312049615942844,
      0.3263668172429098,
      0.3215968470913512,
      0.3168944748880414,
      0.31225899450867206,
      0.30768960194951217,
      0.3031854332898396,
      0.2987455900910221,
      0.29436915660251456,
      0.29005521109182336,
      0.2858028488525853,
      0.2816112680630974,
      0.27747969200282074,
      0.27340730957781234,
      0.2693932901224611,
      0.26543679485542054,
      0.26153698436632833,
      0.25769320505118126,
      0.25390506211576697,
      0.2501720594414301,
      0.24649359143202576,
      0.24286898310338992,
      0.23929751739664623,
      0.23577845360993205,
      0.2323110391936272,
      0.22889451790698653,
      0.22552813533442326,
      0.2222111424453567,
      0.2189427977084326,
      0.21572236564606037,
      0.2125490479937332,
      0.20942202637160406,
      0.20634053192372823,
      0.2033038324781715,
      0.20031122394057266,
      0.1973620247247358,
      0.194455571636047,
      0.19159121709052873,
      0.1887683274824453,
      0.18598628143494253,
      0.18324446918787302,
      0.18054229164511526,
      0.17787915988042094,
      0.1752544948837141,
      0.17266772710246597,
      0.17011829615901633,
      0.1676056506921006,
      0.16512924803657042,
      0.1626885541726949,
      0.16028304337328644,
      0.15791219823495178,
      0.15557550932386158,
      0.15327247503347743,
      0.15100260173010743,
      0.148765403335223,
      0.1465604013164271,
      0.1443871244258956,
      0.1422451086754093,
      0.14013389713460137,
      0.13805303990873624,
      0.13600209399643212,
      0.1339806231171448,
      0.13198819767249698,
      0.1300243944541141,
      0.1280887967713854,
      0.12618099417238363,
      0.12430058248318954,
      0.12244716357336251,
      0.12062034531864328,
      0.1188197415313182,
      0.11704497171198353,
      0.11529566109915329,
      0.11357144062234614,
      0.1118719466638462,
      0.11019682111128812,
      0.1085457110656011,
      0.10691826889035888,
      0.10531415229718341,
      0.10373302400371064,
      0.10217455158630033,
      0.10063840769839678,
      0.09912426986730472,
      0.09763182035188155,
      0.09616074606030739,
      0.0947107385284663,
      0.09328149376783099,
      0.09187271240186992,
      0.09048409943673102,
      0.08911536424440306,
      0.08776622046543375,
      0.08643638590736188,
      0.08512558246404756,
      0.08383353618613577,
      0.08255997704468562,
      0.08130463910320382,
      0.08006726020124712,
      0.07884758208771218,
      0.07764535024633522,
      0.07646031389048027,
      0.07529222587575003,
      0.0741408426799212,
      0.07300592428447407,
      0.0718872342086419,
      0.07078453940043053,
      0.06969761026728435,
      0.06862622036630356,
      0.06757014672593117,
      0.06652916962715014,
      0.06550307237108959,
      0.06449164155049288,
      0.06349466675131261,
      0.06251194067254535,
      0.061543258977282446,
      0.060588420406561795,
      0.05964722642679166,
      0.05871948156544817,
      0.05780499296559016,
      0.05690357074567644,
      0.05601502766389946,
      0.05513917928911325,
      0.05427584373635354,
      0.05342484178136304,
      0.05258599678764209,
      0.05175913469069645,
      0.05094408390655596,
      0.0501406754401871,
      0.049348742504070925,
      0.048568120861237615,
      0.04779864870999775,
      0.04704016643472815,
      0.046292516794727304,
      0.04555554481312047,
      0.044829097664831015,
      0.04411302476070814,
      0.043407177652161524,
      0.04271141020170368,
      0.042025578116372676,
      0.04134953934123838,
      0.040683153868995146,
      0.0400262836471513,
      0.03937879257797685,
      0.03874054657419269,
      0.03811141343745331,
      0.03749126290318367,
      0.03687996656256759,
      0.036277397883760894,
      0.035683432103555665,
      0.03509794621163814,
      0.03452081902456683,
      0.03395193108496785,
      0.03339116470790912,
      0.03283840377919085,
      0.032293533944832385,
      0.03175644235228432,
      0.031227017868265157,
      0.03070515096932998,
      0.030190733663918626,
      0.029683659601877556,
      0.029183823833885028,
      0.02869112293558199,
      0.028205454991808824,
      0.027726719490746465,
      0.027254817459051152,
      0.026789651265733884,
      0.02633112469208087,
      0.025879142943595,
      0.025433612527126212,
      0.024994441241731443,
      0.02456153827580424,
      0.0241348142018212,
      0.023714180766238435,
      0.023299551021474664,
      0.022890839214445634,
      0.02248796085823951,
      0.022090832585802116,
      0.021699372307048537,
      0.02131349903698436,
      0.020933133012961156,
      0.020558195611089902,
      0.020188609275443154,
      0.01982429769791591,
      0.019465185608157094,
      0.01911119874618693,
      0.018762263806689515,
      0.018418308673542848,
      0.018079262359949357,
      0.017745054800248877,
      0.017415616880824696,
      0.017090880550952963,
      0.01677077860687077,
      0.016455244943781044,
      0.016144214373124053,
      0.01583762265968833,
      0.015535406346156942,
      0.01523750295604954,
      0.014943850926994967,
      0.01465438957276051,
      0.014369059074423866,
      0.01408780049414225,
      0.013810555677395463,
      0.013537267362238939,
      0.013267879158263565,
      0.013002335350921284,
      0.012740580918482354,
      0.012482561818967921,
      0.012228224745993761,
      0.011977517276335175,
      0.01173038753683358,
      0.01148678442091405,
      0.01124665764253018,
      0.011009957621779864,
      0.010776635492076839,
      0.01054664509262163,
      0.010319941776202459,
      0.01009648061122311,
      0.009876216459951558,
      0.009659104463094554,
      0.009445100111700553,
      0.009234159346131292,
      0.009026238523174615,
      0.008821294613794876,
      0.008619285186725192,
      0.008420168318560394,
      0.008223902600918787,
      0.008030447226153807,
      0.007839761992363956,
      0.007651807253957082,
      0.007466543848910793,
      0.007283933307459252,
      0.007103937624859538,
      0.006926519322279742,
      0.0067516415286216006,
      0.006579267867599453,
      0.006409362423195846,
      0.006241889954859453,
      0.00607681565120097,
      0.005914105101418501,
      0.005753724421078189,
      0.005595640322708967,
      0.005439819895997354,
      0.005286230720572982,
      0.00513484085938181,
      0.00498561875243309,
      0.0048385333667161695,
      0.004693554099606677,
      0.0045506508751155285,
      0.004409793949456158,
      0.004270953927903569,
      0.00413410203123309,
      0.003999209734283368,
      0.003866248998010304,
      0.003735192184476716,
      0.0036060119739852706,
      0.0034786814676949123,
      0.003353174342966983,
      0.003229464387208276,
      0.0031075258341903135,
      0.0029873332881492944,
      0.002868861853329816,
      0.002752086820023478,
      0.0026369838595931777,
      0.002523529152052358,
      0.002411698974282344,
      0.0023014701161910675,
      0.002192819649165197,
      0.0020857249827773796,
      0.001980163782282356,
      0.0018761141099771271,
      0.0017735543008947708,
      0.0016724630113087056,
      0.001572819268663865,
      0.0014746023636753585,
      0.0013777918581569363,
      0.001282367568323757,
      0.0011883096764724588,
      0.0010955985322418662,
      0.0010042149826959158,
      0.000914140017047578,
      0.0008253548512610159,
      0.0007378410132625825,
      0.0006515803086002393,
      0.00056655475527856,
      0.00048274672324392616,
      0.0004001381082121619,
      0.0003187106294403552,
      0.0002384466422033945,
      0.00015932910023755675,
      8.134125346908576e-05,
      4.466785782630215e-06,
      -7.131033799017402e-05,
      -0.00014600599238161457,
      -0.00021963564813757096,
      -0.00029221462390459753,
      -0.00036375791725206703,
      -0.00043428028913003854,
      -0.0005037963407618506,
      -0.0005723204248642364,
      -0.0006398666253747364,
      -0.0007064489528977176,
      -0.0007720810689153491,
      -0.000836776568364738,
      -0.0009005489947855616,
      -0.0009634113910304365,
      -0.0010253767640509526,
      -0.0010864579131691684,
      -0.0011466674295243487,
      -0.0012060177454715163,
      -0.0012645211452035907,
      -0.0013221897620992417
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56687070105056,
      10.337009171428512,
      10.099442482691458,
      9.857165943957023,
      9.612612208934,
      9.36788712745541,
      9.124822245680601,
      8.884931209748911,
      8.64941180950498,
      8.419173241365092,
      8.194839025923663,
      7.97676358972916,
      7.765060184601159,
      7.5596375747842215,
      7.360241072634173,
      7.1664890506800605,
      6.977909592448836,
      6.793985816475742,
      6.614188738980875,
      6.438002685027554,
      6.264938809266771,
      6.094549564549214,
      5.9264470204213,
      5.760309651223459,
      5.595887806179097,
      5.433008852497494,
      5.271575456940867,
      5.111570158344011,
      4.95304847155303,
      4.796129439300552,
      4.640992193491035,
      4.48788139300892,
      4.337092412496501,
      4.188973120332238,
      4.043923039159592,
      3.9023525046978125,
      3.7646624887753415,
      3.631231880887154,
      3.5024076976177647,
      3.378497779268005,
      3.2597591625192646,
      3.146392866254716,
      3.0385422286713366,
      2.9362903925785857,
      2.8396525143514735,
      2.7485781822057684,
      2.6629601207569267,
      2.5826463413431586,
      2.5074328451352206,
      2.4370830966800305,
      2.371350061899297,
      2.309957100216565,
      2.2525956928094355,
      2.198935779090301,
      2.148602379634954,
      2.1012130918942846,
      2.056418031654366,
      2.0138894627091313,
      1.9733296677968437,
      1.9344825726286503,
      1.8971440448428223,
      1.861153683717681,
      1.8263806797430902,
      1.7927115360181056,
      1.7600523520592117,
      1.728327771621979,
      1.6974758982259512,
      1.6674447818569702,
      1.6381899107928413,
      1.609672417849601,
      1.581856812947037,
      1.5547086483707664,
      1.5281970509296265,
      1.5022945337610074,
      1.47697624097827,
      1.452219409235425,
      1.4280029815230584,
      1.4043073246597537,
      1.3811140220496037,
      1.3584064613736697,
      1.3361700008000115,
      1.3143905701681788,
      1.2930543215100632,
      1.2721477435934037,
      1.2516577297941984,
      1.231571616899301,
      1.2118772019982478,
      1.1925627464866275,
      1.1736169708436213,
      1.1550290436208608,
      1.136788568161793,
      1.118886231382864,
      1.1013138984492568,
      1.0840651478182708,
      1.0671339042694885,
      1.050513417756771,
      1.0341965829033897,
      1.0181761492732107,
      1.002444859474374,
      0.9869958849236322,
      0.9718241200101951,
      0.9569246032009588,
      0.9422918632392492,
      0.927920163442197,
      0.9138036614457349,
      0.8999365127036484,
      0.8863129374851076,
      0.8729272629625002,
      0.8597739484732141,
      0.8468476002243428,
      0.8341429786825805,
      0.8216550001400748,
      0.8093787367818293,
      0.7973094136161235,
      0.7854424049954206,
      0.7737732300380934,
      0.7622975477325156,
      0.7510111518093056,
      0.7399099658223646,
      0.7289900378296353,
      0.718247535715615,
      0.7076787423872114,
      0.6972800514723505,
      0.6870479626967608,
      0.6769790779946178,
      0.6670700972942643,
      0.6573178147762392,
      0.6477191144901844,
      0.6382709170256479,
      0.6289702023834582,
      0.6198140593373073,
      0.6107996728755801,
      0.6019243149572476,
      0.5931853376663111,
      0.5845801680099294,
      0.5761063035825084,
      0.56776130842151,
      0.5595428103912409,
      0.5514481688443161,
      0.5434744801184153,
      0.5356190827784355,
      0.5278795380309576,
      0.5202535734089269,
      0.5127390440285067,
      0.5053339056388119,
      0.4980361961141491,
      0.4908440220359739,
      0.48375554967553835,
      0.4767689979684051,
      0.4698826337267082,
      0.4630947677610465,
      0.45640375203901973,
      0.44980797742305245,
      0.4433058716093547,
      0.43689589760122655,
      0.4305765523655228,
      0.42434636552250865,
      0.41820389830393334,
      0.4121477423755762,
      0.40617651911356384,
      0.40028887837232896,
      0.3944834978160931,
      0.3887590820287578,
      0.38311436168590973,
      0.3775482129213722,
      0.37205975795768675,
      0.3666480745181269,
      0.3613121982953151,
      0.35605112070403444,
      0.3508637071861829,
      0.34574858436874434,
      0.3407044337364381,
      0.33573030117322167,
      0.3308256632303716,
      0.32598988758057457,
      0.3212223680692954,
      0.3165225116898289,
      0.31188958773558745,
      0.30732277563312654,
      0.30282120019469233,
      0.2983839555610309,
      0.2940101210159953,
      0.28969877111233927,
      0.28544900648355365,
      0.2812600362950383,
      0.277131076368914,
      0.27306130987514776,
      0.2690499023100418,
      0.26509601232517543,
      0.2611987988334135,
      0.25735763334873907,
      0.2535721222958712,
      0.2498417589610271,
      0.24616593044209575,
      0.24254395690707278,
      0.23897511806075228,
      0.23545867083676958,
      0.2319938612335717,
      0.22857993200535923,
      0.2252161280204405,
      0.22190169962586057,
      0.2186359049611151,
      0.2154180046952291,
      0.2122471951876012,
      0.20912266105276106,
      0.2060436354564283,
      0.20300938747374453,
      0.20001921400781864,
      0.19707243407026828,
      0.19416838485643942,
      0.19130641906677748,
      0.18848590319782238,
      0.18570621604675722,
      0.18296674786977346,
      0.180266899670387,
      0.1776060825899141,
      0.17498371764047718,
      0.17239923516924338,
      0.16985207483541104,
      0.16734168520281395,
      0.16486752363487434,
      0.1624290560586956,
      0.1600257569168695,
      0.15765710872752522,
      0.15532260208560345,
      0.1530217354180374,
      0.150754015059011,
      0.14851895497140946,
      0.14631607650199085,
      0.14414490847500547,
      0.14200498689959734,
      0.13989585492680504,
      0.13781706266793461,
      0.1357681670838173,
      0.1337487319449082,
      0.1317583276335763,
      0.12979653104223024,
      0.12786292547816666,
      0.12595710054336962,
      0.12407865196352152,
      0.12222718169012284,
      0.12040229766566592,
      0.1186036136266893,
      0.1168307492748761,
      0.11508332986897998,
      0.11336098622869696,
      0.1116633548707851,
      0.10999007775035574,
      0.10834080200699732,
      0.10671518002652614,
      0.10511286944989881,
      0.10353353306626462,
      0.10197683863992706,
      0.10044245880500556,
      0.09893007108437785,
      0.09743935777902943,
      0.09597000579678121,
      0.09452170671941885,
      0.09309415676500533,
      0.0916870565878398,
      0.09030011118274327,
      0.08893302992504283,
      0.08758552651151501,
      0.086257318839609,
      0.08494812885079975,
      0.0836576826962978,
      0.0823857104564701,
      0.0811319462687855,
      0.07989612797648213,
      0.07867799739209484,
      0.07747730006574541,
      0.07629378529301997,
      0.0751272059449777,
      0.0739773185338876,
      0.07284388321563119,
      0.07172666347754665,
      0.07062542640171855,
      0.06953994226301166,
      0.06846998489640639,
      0.06741533134240664,
      0.0663757618918594,
      0.0653510599935726,
      0.06434101224000977,
      0.06334540840607206,
      0.062364041171687354,
      0.06139670630405041,
      0.06044320248170686,
      0.05950333139407318,
      0.05857689759382397,
      0.05766370835384482,
      0.05676357378580403,
      0.05587630678435791,
      0.055001722864436234,
      0.05413964033868934,
      0.053289880016135355,
      0.052452265386734705,
      0.051626622428252375,
      0.05081277963865977,
      0.05001056803987951,
      0.04921982100657245,
      0.0484403742596292,
      0.04767206598301192,
      0.046914736723994946,
      0.046168229404330734,
      0.045432389057129416,
      0.044707062928138426,
      0.04399210053128782,
      0.04328735355044291,
      0.04259267577205472,
      0.04190792308906344,
      0.041232953522728356,
      0.04056762711225489,
      0.03991180582495719,
      0.039265353735025064,
      0.03862813672918302,
      0.038000022840542165,
      0.0373808818263549,
      0.036770585239846755,
      0.03616900665136527,
      0.03557602134969039,
      0.03499150643177024,
      0.034415340787391585,
      0.033847405094652463,
      0.0332875815675081,
      0.032735754320094894,
      0.03219180900968789,
      0.03165563290261861,
      0.031127114923886645,
      0.030606145595666424,
      0.030092616988348336,
      0.02958642279810963,
      0.029087458176695752,
      0.028595619754285387,
      0.02811080569993472,
      0.027632915641637626,
      0.027161850700285647,
      0.02669751320483303,
      0.026239806997501797,
      0.02578863728014208,
      0.025343910701914708,
      0.024905535229274037,
      0.024473420142220585,
      0.02404747593390677,
      0.0236276144629244,
      0.023213748773922648,
      0.022805793227845903,
      0.02240366333224426,
      0.022007275925824486,
      0.02161654896734657,
      0.021231401640765247,
      0.020851754242305523,
      0.02047752818646396,
      0.020108645876344085,
      0.01974503098502868,
      0.019386608347440566,
      0.019033303748716673,
      0.018685044040521636,
      0.018341757280796997,
      0.01800337243274033,
      0.017669819455462414,
      0.01734102932857877,
      0.017016934010785502,
      0.016697466383016644,
      0.016382560456160804,
      0.01607215098530167,
      0.015766173665662638,
      0.015464565376703491,
      0.015167263654729736,
      0.01487420699516226,
      0.014585334891371444,
      0.014300587457364813,
      0.014019905835689985,
      0.013743231909291252,
      0.013470508391744485,
      0.013201678907879232,
      0.01293668793192586,
      0.012675480601407585,
      0.012418002756520375,
      0.012164201166692623,
      0.011914023321693923,
      0.011667417582131698,
      0.011424332925864308,
      0.011184719040504032,
      0.010948526380607953,
      0.010715706006599804,
      0.01048621117130013,
      0.01025999725146981,
      0.010037019512314187,
      0.0098172332503351,
      0.00960059378336524,
      0.009387056682275234,
      0.009176577991089296,
      0.008969114245366505,
      0.0087646223842959,
      0.008563060090715141,
      0.008364385402372686,
      0.008168557011704162,
      0.007975534173570198,
      0.007785276793663929,
      0.007597745131044312,
      0.007412900189386405,
      0.007230703506644889,
      0.007051117169616084,
      0.006874103862231745,
      0.0066996266173276475,
      0.006527649110724315,
      0.006358135505627943,
      0.006191050413927664,
      0.006026359158154164,
      0.005864027488846589,
      0.0057040215330155875,
      0.0055463079857413534,
      0.005390853998213976,
      0.00523762716984062,
      0.005086595573838689,
      0.004937727752727048,
      0.0047909927856165,
      0.004646360103243851,
      0.00450379957799779,
      0.004363281481939695,
      0.004224776573681384,
      0.004088255977198553,
      0.003953691304032227,
      0.0038210545416221876,
      0.0036903181662792913,
      0.003561454786664406,
      0.0034344376601019916,
      0.003309240320065394,
      0.0031858366633638947,
      0.003064200936638476,
      0.002944307826129833,
      0.0028261323964354555,
      0.002709650018118601,
      0.002594836423726017,
      0.002481667720606517,
      0.0023701202970920635,
      0.002260171028844282,
      0.002151797048129954,
      0.0020449757876145726,
      0.001939684993595103,
      0.0018359026767581802,
      0.001733607223037705,
      0.001632777315120632,
      0.0015333919761737645,
      0.0014354304999351537,
      0.001338872471382366,
      0.0012436978328339767,
      0.0011498868051982942,
      0.0010574197912938549,
      0.000966277489764706,
      0.0008764409147183562,
      0.0007878912828627892,
      0.0007006102835258185,
      0.0006145797584816402,
      0.000529781853381226,
      0.00044619887138244767,
      0.00036381333078226664,
      0.0002826080681767982,
      0.00020256622852950895,
      0.00012367114780911011,
      4.590642123039218e-05,
      -3.0744116486602024e-05,
      -0.00010629650570726373,
      -0.0001807665718708922,
      -0.00025416970792645877,
      -0.00032652117647093007,
      -0.00039783608693950496,
      -0.0004681293150243851,
      -0.0005374154910809963,
      -0.0006057089685415325,
      -0.0006730239946692697,
      -0.0007393746011328675,
      -0.0008047746592004839,
      -0.0008692377368933721,
      -0.0009327772985507121,
      -0.000995406573367857,
      -0.0010571384926338166,
      -0.001117986007826455,
      -0.0011779617532983958,
      -0.001237078197751566,
      -0.0012953476994984469,
      -0.0013527823514818166
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566867561707298,
      10.336993597871826,
      10.099406778555897,
      9.857104690364054,
      9.61252138544193,
      9.367763713169031,
      9.124664560644606,
      8.884738898328507,
      8.649185042775134,
      8.418912503501552,
      8.194544952971912,
      7.9764368431423085,
      7.764701363521707,
      7.559247143000342,
      7.3598193476285365,
      7.1660360018751526,
      6.9774250277771195,
      6.793469533079679,
      6.613640561305623,
      6.437422539514226,
      6.264326971404311,
      6.09390652050545,
      5.92577342449107,
      5.759606431863513,
      5.595156187877164,
      5.43225037021166,
      5.270791993997138,
      5.1107639903115745,
      4.952222285160113,
      4.795286117636716,
      4.640134915760474,
      4.4870137273425135,
      4.336218217847199,
      4.188097070512254,
      4.043050148784056,
      3.9014876790768165,
      3.763810419277436,
      3.6303969600381967,
      3.5015940883845893,
      3.3777092411718734,
      3.258998922016218,
      3.145663589701654,
      3.037846013197831,
      2.935628679729778,
      2.8390259203779515,
      2.747986468678535,
      2.6624024490685865,
      2.58212124479972,
      2.5069380635485965,
      2.4366163166578074,
      2.370908803678375,
      2.3095386943733085,
      2.2521972483994683,
      2.198554048500326,
      2.148233796313408,
      2.100854475291219,
      2.0560664574234195,
      2.0135422051942746,
      1.9729844614380097,
      1.9341376523657132,
      1.8967981216736887,
      1.8608058115390007,
      1.8260301396186092,
      1.7923577740921888,
      1.759694990018539,
      1.7279665656459653,
      1.6971107009141104,
      1.6670755142514597,
      1.6378165431875071,
      1.6092949549511255,
      1.5814753050821837,
      1.554323165735675,
      1.527807667229357,
      1.5019013252972424,
      1.476579285672797,
      1.4518187857414,
      1.427598768168093,
      1.4038995994904024,
      1.3807028623981563,
      1.3579919780419014,
      1.335752326420892,
      1.313969817658285,
      1.2926305899003916,
      1.2717211215862245,
      1.2512282992309338,
      1.2311394546635008,
      1.211442381674291,
      1.1921253382981363,
      1.1731770423617582,
      1.1545866610383968,
      1.1363437958938152,
      1.1184391603131545,
      1.1008647074302471,
      1.0836141279036957,
      1.0666812687382934,
      1.0500593274679142,
      1.0337411632227052,
      1.0177195012484344,
      1.001987067052824,
      0.9865371448688973,
      0.9713647966097416,
      0.9564649501747972,
      0.9418320612354362,
      0.9274603441373935,
      0.9133439229942653,
      0.8994769307842865,
      0.8858535726780932,
      0.8724681655385798,
      0.8593151621306875,
      0.8463891639681059,
      0.83368492786579,
      0.8211973680961514,
      0.8089215551674073,
      0.7968527130434755,
      0.784986215345484,
      0.7733175805058227,
      0.7618424665538924,
      0.7505566668145615,
      0.7394561044683455,
      0.7285368272207458,
      0.7177950026131665,
      0.7072269133860712,
      0.696828952811157,
      0.6865976204646229,
      0.6765295178439229,
      0.6666213443473886,
      0.6568698937500158,
      0.6472720487423262,
      0.6378247283502878,
      0.6285249131099253,
      0.6193696919791419,
      0.6103562499752181,
      0.60148185884717,
      0.5927438706035659,
      0.584139711844214,
      0.5756668798486613,
      0.5673229383477926,
      0.5591055147973046,
      0.5510120171328678,
      0.5430395459707418,
      0.5351854217540435,
      0.5274471933828746,
      0.5198225800721737,
      0.5123094309211623,
      0.5049056975305689,
      0.4976094148387288,
      0.4904186875867868,
      0.4833316803479309,
      0.4763466108727835,
      0.46946174498656107,
      0.4626753929062032,
      0.455985905933758,
      0.44939167426337945,
      0.4428911251421261,
      0.43648272118438974,
      0.43016495907324465,
      0.4239363679905736,
      0.4177955086456172,
      0.4117409722184411,
      0.4057713797070896,
      0.3998853807661384,
      0.3940816525249345,
      0.38835889927705847,
      0.38271585129100605,
      0.37715146365315033,
      0.37166486474791033,
      0.3662551101894588,
      0.3609212194131698,
      0.35566216568227177,
      0.3504767929255352,
      0.3453637191864437,
      0.340321623884475,
      0.3353496604782999,
      0.3304473133296016,
      0.3256139189619743,
      0.32084886784867994,
      0.3161515390850215,
      0.3115211793317025,
      0.30695695250235483,
      0.30245797320049683,
      0.29802332877759796,
      0.29365209365675843,
      0.2893433392976506,
      0.2850961750421012,
      0.2809098168998095,
      0.2767834737593355,
      0.27271632326877576,
      0.2687075272730762,
      0.26475624193981984,
      0.260861624383095,
      0.2570230713911315,
      0.253240190660763,
      0.2495124648207758,
      0.24583927384085064,
      0.24221993320600682,
      0.23865371930754414,
      0.2351398867393589,
      0.2316776798558445,
      0.22826634050592126,
      0.22490511289015525,
      0.22159324684485923,
      0.2183300001267452,
      0.21511462935778355,
      0.2119463256957829,
      0.20882427682214771,
      0.20574771779332499,
      0.20271591909274841,
      0.1997281784771803,
      0.19678381560279742,
      0.19388216808884945,
      0.19102258892865578,
      0.18820444466605188,
      0.18542711420420332,
      0.18268998791279856,
      0.17999246676278197,
      0.17733396199595491,
      0.17471389450090227,
      0.17213169474696632,
      0.16958680251874952,
      0.16707866630496784,
      0.16460674349132107,
      0.16217049994579436,
      0.15976941003938436,
      0.15740295628145817,
      0.1550706294158296,
      0.15277192789597283,
      0.150506357934153,
      0.14827343350808375,
      0.14607267603937757,
      0.1439036143465646,
      0.14176578449867913,
      0.13965872954273378,
      0.1375819996455112,
      0.13553515177900788,
      0.1335177497375411,
      0.13152936385029623,
      0.12956957106356332,
      0.12763795473061837,
      0.1257341044787527,
      0.12385761618420811,
      0.12200809178819712,
      0.12018513914444089,
      0.1183883721142501,
      0.11661741033028086,
      0.11487187921428389,
      0.11315140969506683,
      0.11145563821758445,
      0.10978420662337364,
      0.1081367622586619,
      0.10651295755304531,
      0.10491245018768158,
      0.10333490291138613,
      0.1017799836284288,
      0.10024736502622687,
      0.09873672453060922,
      0.09724774455714001,
      0.0957801120982473,
      0.09433351888615589,
      0.0929076610819199,
      0.09150223933571228,
      0.09011695874193928,
      0.08875152872663215,
      0.08740566302669629,
      0.08607907954995062,
      0.08477150046641409,
      0.08348265193596624,
      0.0822122640439658,
      0.08096007086196048,
      0.07972581045270759,
      0.07850922461860785,
      0.07731005895334497,
      0.07612806280496595,
      0.0749629891698036,
      0.07381459469487767,
      0.07268263952803831,
      0.07156688725717444,
      0.07046710496968407,
      0.06938306309908343,
      0.06831453548104818,
      0.06726129929427051,
      0.06622313488961908,
      0.06519982575209268,
      0.06419115855005292,
      0.06319692298328838,
      0.0622169119062569,
      0.06125092121806053,
      0.06029874964587497,
      0.05936019889835644,
      0.058435073648676165,
      0.05752318119476769,
      0.056624331698556955,
      0.0557383381431534,
      0.05486501610031501,
      0.054004183902081754,
      0.05315566252342652,
      0.05231927548464541,
      0.0514948487982093,
      0.050682211090329714,
      0.0498811933792038,
      0.04909162926657986,
      0.048313354553348294,
      0.047546207512605444,
      0.046790028758466405,
      0.04604466108564267,
      0.04530994962246103,
      0.044585741875162496,
      0.043871887326436196,
      0.043168237769687284,
      0.04247464709584067,
      0.04179097126244267,
      0.04111706829982972,
      0.040452798286791915,
      0.03979802335946016,
      0.03915260758817842,
      0.038516417020862004,
      0.0378893196321075,
      0.037271185298645426,
      0.03666188574392955,
      0.03606129455698267,
      0.03546928701734858,
      0.034885740448788706,
      0.03431053386479047,
      0.03374354785298717,
      0.033184664770721135,
      0.0326337687251438,
      0.03209074547064923,
      0.031555482379675114,
      0.031027868543698472,
      0.030507794419577558,
      0.029995152190693458,
      0.029489835552371835,
      0.028991739703914603,
      0.028500761428785232,
      0.028016798914116375,
      0.027539751924964353,
      0.02706952154632583,
      0.026606010292582777,
      0.02614912213980163,
      0.02569876234116764,
      0.02525483754608344,
      0.024817255765888016,
      0.02438592635770908,
      0.023960759885815138,
      0.023541668242634907,
      0.023128564602869422,
      0.02272136333824998,
      0.022319980089410985,
      0.021924331760209217,
      0.021534336281371965,
      0.021149912861729597,
      0.020770981875507643,
      0.02039746483050662,
      0.02002928439782703,
      0.01966636422338056,
      0.019308629106091064,
      0.018956004983206806,
      0.018608418760968963,
      0.018265798505458345,
      0.01792807320522406,
      0.017595172906603337,
      0.01726702863693455,
      0.016943572452101527,
      0.01662473731667971,
      0.01631045724212683,
      0.016000667085255778,
      0.015695302655524053,
      0.015394300756008839,
      0.015097599113938936,
      0.014805136244623443,
      0.014516851522031908,
      0.014232685272122196,
      0.013952578672411986,
      0.013676473680215455,
      0.01340431316144775,
      0.013136040704680949,
      0.01287160068612037,
      0.012610938420740146,
      0.012353999998360041,
      0.012100732136056664,
      0.011851082414464467,
      0.01160499909118811,
      0.011362431184020052,
      0.011123328519334908,
      0.010887641611432032,
      0.010655321646548716,
      0.010426321016373669,
      0.01020059496994161,
      0.009978099287713248,
      0.009758789446914764,
      0.009542620904958865,
      0.009329549318995394,
      0.009119530906213766,
      0.008912522392960517,
      0.008708480832250192,
      0.008507363784974208,
      0.008309129560721978,
      0.008113736869604838,
      0.007921144984677274,
      0.0077313136965178235,
      0.007544203518170972,
      0.007359775491967818,
      0.00717799115121642,
      0.00699881264908164,
      0.006822202629184106,
      0.006648124225329573,
      0.0064765411585243765,
      0.006307417709061352,
      0.006140718652746893,
      0.005976409268873211,
      0.005814455197688751,
      0.005654822610833119,
      0.005497478270382169,
      0.00534238939044577,
      0.005189523623432178,
      0.005038849047739394,
      0.004890334328728006,
      0.0047439485131297475,
      0.004599661130085423,
      0.004457442046202615,
      0.004317261620820858,
      0.004179090672249783,
      0.004042900318730058,
      0.003908662246839973,
      0.003776348447637092,
      0.003645931259346594,
      0.003517383500624343,
      0.0033906783954969805,
      0.0032657895509836084,
      0.0031426909235976667,
      0.003021356844315425,
      0.00290176197493159,
      0.0027838814122650365,
      0.0026676905649399294,
      0.0025531652731184303,
      0.002440281649980304,
      0.002329016172624022,
      0.0022193456022204733,
      0.00211124713464555,
      0.0020046982282779366,
      0.0018996765790277091,
      0.0017961603954931332,
      0.0016941281033174534,
      0.001593558438784391,
      0.001494430466990992,
      0.0013967234298449625,
      0.0013004170016149789,
      0.0012054909991632144,
      0.0011119256527253954,
      0.0010197014772310043,
      0.0009287992468737477,
      0.0008392000785452387,
      0.0007508852940791941,
      0.0006638363724696213,
      0.0005780352779442344,
      0.000493464128118723,
      0.00041010530211505126,
      0.00032794133959377275,
      0.00024695505650977297,
      0.0001671296750610618,
      8.844858585180177e-05,
      1.0895397334391432e-05,
      -6.554610951258837e-05,
      -0.00014089186671731492,
      -0.00021515755647141712,
      -0.00028835869805226856,
      -0.00036051056252775867,
      -0.0004316281372081708,
      -0.0005017263436447361,
      -0.0005708197017461503,
      -0.0006389226093817543,
      -0.0007060493099490771,
      -0.0007722137954491189,
      -0.0008374298933970945,
      -0.0009017111620490698,
      -0.0009650709754063522,
      -0.0010275225756369323,
      -0.0010890790234518296,
      -0.0011497531030210794,
      -0.001209557461216545,
      -0.0012685045744714233,
      -0.0013266066579376073,
      -0.0013838758660858778
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566864423686464,
      10.336978027974517,
      10.099371074155282,
      9.857043426075196,
      9.612430530884154,
      9.367640238432601,
      9.124506779395018,
      8.88454645164749,
      8.648958099236728,
      8.418651540814254,
      8.194250606605106,
      7.976109773638685,
      7.764342170824394,
      7.5588562935663335,
      7.359397158907572,
      7.16558244356726,
      6.976939908596436,
      6.792952651981564,
      6.613091745094486,
      6.436841716669609,
      6.263714418971095,
      6.093262725447243,
      5.92509904254331,
      5.758902392482985,
      5.5944237169500735,
      5.431491004251617,
      5.270007619004513,
      5.1099568833298745,
      4.9513951361311825,
      4.794441812169322,
      4.63927663602726,
      4.486145045240788,
      4.335342990805463,
      4.187219970713871,
      4.042176188793955,
      3.900621762637528,
      3.76295723616341,
      3.629560900658534,
      3.5007793148282396,
      3.376919511536996,
      3.2582374622794013,
      3.1449330659464154,
      3.037148522166458,
      2.9349656630689065,
      2.8383979965017523,
      2.7473934070333565,
      2.6618434194710074,
      2.581594788888206,
      2.506441928079535,
      2.4361481939796135,
      2.3704662198748654,
      2.3091189854057115,
      2.251797527630479,
      2.198171071844578,
      2.147863999659258,
      2.100494680125704,
      2.055713741187402,
      2.013193843459805,
      1.9726381891582698,
      1.9337917046951723,
      1.896451209182349,
      1.860456987726542,
      1.8256786856273144,
      1.7920031363523479,
      1.7593367908996298,
      1.7276045614518583,
      1.6967447439236703,
      1.6667055249562912,
      1.6374424910614889,
      1.6089168437245691,
      1.5810931844683898,
      1.5539371041645462,
      1.5274177376836635,
      1.5015076027817176,
      1.4761818466528787,
      1.4514177078724795,
      1.427194128940683,
      1.4034914761795694,
      1.3802913314840648,
      1.3575771494503406,
      1.3353343317378996,
      1.3135487691470873,
      1.2922065858283167,
      1.271294250599859,
      1.2507986435746825,
      1.230707090866682,
      1.2110073818578193,
      1.191687772048504,
      1.172736976933719,
      1.15414416197069,
      1.1358989271213409,
      1.1179920119069569,
      1.100415457557271,
      1.0831630666545147,
      1.0662286087633677,
      1.0496052294358786,
      1.0332857522401213,
      1.0172628776302992,
      1.0015293141513615,
      0.9860785484032557,
      0.9709056883220065,
      0.956005563586075,
      0.9413725632351341,
      0.9270008565137466,
      0.9128845375585786,
      0.8990177188275815,
      0.8853945918811575,
      0.8720094643480869,
      0.8588567823225606,
      0.8459311431325791,
      0.8332273007003066,
      0.8207401671198467,
      0.8084648116221926,
      0.7963964572199969,
      0.7845304765897407,
      0.7728623876195604,
      0.7613878481055741,
      0.7501026508539959,
      0.7390027184831509,
      0.72808409858995,
      0.7173429582611687,
      0.7067755799599149,
      0.6963783565925519,
      0.6861477870674799,
      0.6760804726387553,
      0.6661731124934794,
      0.6564224999131978,
      0.646825516319292,
      0.6373790788063073,
      0.6280801684324692,
      0.6189258742999867,
      0.6099133813635679,
      0.6010399615521281,
      0.5923029667297837,
      0.5836998231472882,
      0.5752280276231152,
      0.5668851436888117,
      0.5586687984219384,
      0.5505764487271585,
      0.5426051997587406,
      0.534752353666662,
      0.5270154467729029,
      0.5193921896517175,
      0.5118804253927001,
      0.5044781017850954,
      0.49718325076168846,
      0.48999397469561157,
      0.4829084367466106,
      0.4759248536876459,
      0.46904149038602844,
      0.4622566561887878,
      0.45556870176045405,
      0.4489760168068466,
      0.44247702812727224,
      0.4360701978720999,
      0.4297540220849764,
      0.42352702971172246,
      0.4173877811146899,
      0.4113348672399934,
      0.40536690857768554,
      0.3994825543258427,
      0.3936804814063295,
      0.3879593936408236,
      0.3823180461152743,
      0.3767554594314812,
      0.3712707430300555,
      0.36586293719020563,
      0.3605310446629932,
      0.3552740227049626,
      0.3500906959595858,
      0.34497967479444347,
      0.339939671377387,
      0.3349699294103652,
      0.33006990681088305,
      0.3252389199120075,
      0.3204763572086891,
      0.3157815680248579,
      0.31115377892375234,
      0.3065921405026657,
      0.30209575822131035,
      0.2976637131255904,
      0.2932950755598624,
      0.28898891416018685,
      0.2847443521168582,
      0.28056060664860505,
      0.27643687930301886,
      0.27237234283432105,
      0.2683661557545521,
      0.264417471948816,
      0.2605254468682058,
      0.2566895026710987,
      0.2529092485740826,
      0.24918415663036828,
      0.245513599624033,
      0.24189688801929754,
      0.23833329505113704,
      0.23482207315529746,
      0.23136246519840076,
      0.22795371196292946,
      0.22459505689667017,
      0.22128574939229295,
      0.2180250467764023,
      0.21481220190695605,
      0.211646400476841,
      0.208526833072946,
      0.2054527368105478,
      0.2024233835712731,
      0.1994380720825547,
      0.1964961224187809,
      0.19359687258714703,
      0.1907396759259083,
      0.18792389923026317,
      0.18514892152318677,
      0.18241413318713257,
      0.17971893517444035,
      0.1770627387902112,
      0.1744449649658229,
      0.1718650441857897,
      0.1693224161452071,
      0.16681652950008835,
      0.16434684148734893,
      0.16191281807506694,
      0.1595139336646347,
      0.15714967077046627,
      0.15481951994959428,
      0.15252297972717263,
      0.15025955630191773,
      0.1480287636347496,
      0.14583012332354878,
      0.14366316405402288,
      0.14152742189113435,
      0.13942243998672052,
      0.1373477684859757,
      0.13530296446044524,
      0.13328759162580284,
      0.1313012204166828,
      0.12934342778208713,
      0.127413796994366,
      0.1255119177251766,
      0.12363738595032482,
      0.12178980365120169,
      0.11996877869405838,
      0.11817392496907152,
      0.11640486213513937,
      0.11466121553532582,
      0.11294261615595538,
      0.11124870047661423,
      0.10957911050317297,
      0.10793349357713485,
      0.10631150224042045,
      0.10471279413005369,
      0.10313703209943428,
      0.10158388396240928,
      0.1000530225341479,
      0.0985441253257114,
      0.09705687469364449,
      0.09559095780863629,
      0.09414606643694987,
      0.09272189677583069,
      0.09131814963463193,
      0.08993453012315583,
      0.0885707476789535,
      0.0872265160525906,
      0.08590155319964628,
      0.0845955813465112,
      0.08330832666389484,
      0.08203951938379642,
      0.08078889361240789,
      0.07955618745927685,
      0.07834114289087127,
      0.07714350555035511,
      0.07596302476849959,
      0.07479945361975879,
      0.07365254876879979,
      0.07252207039070602,
      0.07140778226909762,
      0.0703094515130768,
      0.06922684863255178,
      0.06815974754676955,
      0.06710792539828543,
      0.0660711626140808,
      0.06504924278805889,
      0.06404195274033855,
      0.06304908225765984,
      0.06207042416919485,
      0.061105774347565936,
      0.06015493180404257,
      0.05921769817149407,
      0.0582938781041851,
      0.05738327914103925,
      0.05648571147522071,
      0.05560098817221833,
      0.05472892486758502,
      0.05386933989728248,
      0.05302205442227903,
      0.05218689205153881,
      0.05136367888781028,
      0.05055224347455332,
      0.049752417009776805,
      0.04896403303199478,
      0.04818692756093791,
      0.04742093888453765,
      0.04666590762488354,
      0.0459216768737185,
      0.04518809175174204,
      0.04446499972654636,
      0.04375225042699633,
      0.043049695685742566,
      0.042357189503788764,
      0.041674587925043895,
      0.041001749029789834,
      0.040338532948850606,
      0.039684801894812896,
      0.039040420071069656,
      0.03840525353108134,
      0.03777917034066955,
      0.03716204042979462,
      0.03655373556913746,
      0.03595412943346021,
      0.035363097443025245,
      0.0347805168759148,
      0.03420626677751835,
      0.033640227908380615,
      0.03308228270541032,
      0.03253231535104582,
      0.03199021166797985,
      0.03145585905825924,
      0.03092914664582376,
      0.030409965101097162,
      0.02989820661795455,
      0.029393765096979847,
      0.028896535781893436,
      0.02840641544177724,
      0.02792330230475997,
      0.027447096188370112,
      0.026977698311305726,
      0.02651501129540234,
      0.0260589390519728,
      0.0256093869469062,
      0.02516626174853001,
      0.02472947151738097,
      0.024298925545523355,
      0.023874534605993453,
      0.023456210692798938,
      0.02304386696907094,
      0.022637417974206594,
      0.022236779353205564,
      0.021841868048092673,
      0.021452602055320444,
      0.021068900600916048,
      0.020690684129537517,
      0.020317874228479856,
      0.019950393530485694,
      0.019588165881330496,
      0.01923111623249479,
      0.01887917053168435,
      0.018532255846140808,
      0.01819030014715036,
      0.017853232511086305,
      0.017520983013259696,
      0.017193482695724255,
      0.016870663710612396,
      0.01655245913052386,
      0.01623880293415175,
      0.015929630135862908,
      0.015624876715342,
      0.015324479392026176,
      0.015028375879794264,
      0.01473650484608272,
      0.014448805779753203,
      0.01416521892558,
      0.013885685520733522,
      0.013610147685253614,
      0.01333854827135694,
      0.013070830982989291,
      0.012806940288419217,
      0.012546821565327262,
      0.01229042087374838,
      0.01203768500536558,
      0.011788561548398864,
      0.011542998923781788,
      0.011300946068102969,
      0.011062352920719842,
      0.010827170080742306,
      0.010595348791614594,
      0.010366841074248312,
      0.01014160145943846,
      0.009919586084642891,
      0.00970075088727681,
      0.009485051546387771,
      0.009272443957542089,
      0.009062884416217517,
      0.008856329611434425,
      0.008652736697590317,
      0.008452063329987379,
      0.008254267797632395,
      0.008059308980289925,
      0.007867146238298452,
      0.007677739545481005,
      0.007491049421225446,
      0.007307036858354854,
      0.007125663354194876,
      0.006946891154320409,
      0.00677068300232878,
      0.006597002120916553,
      0.006425812169396142,
      0.0062570774699727055,
      0.00609076286777044,
      0.005926833586380384,
      0.00576525538415421,
      0.005605994540600399,
      0.0054490177996049435,
      0.00529429244995807,
      0.005141786273337454,
      0.004991467372944992,
      0.004843304360068242,
      0.004697266275362129,
      0.00455332268993336,
      0.004411443579598526,
      0.004271599359643625,
      0.004133760889638684,
      0.0039978994226683015,
      0.003863986549637299,
      0.0037319942723405956,
      0.0036018949254319845,
      0.0034736614683357576,
      0.0033472671439745273,
      0.0032226855773135254,
      0.0030998908179665683,
      0.002978857232004974,
      0.002859559573234893,
      0.0027419728584099365,
      0.002626072523806353,
      0.002511834456041894,
      0.002399234782629579,
      0.0022882500267191585,
      0.0021788570210902174,
      0.0020710329508265668,
      0.0019647552828841296,
      0.0018600018811562634,
      0.001756750874943723,
      0.001654980719664642,
      0.0015546700992888787,
      0.001455798116351654,
      0.0013583440953744608,
      0.0012622877115747136,
      0.0011676090001590431,
      0.0010742882397769846,
      0.000982305887896606,
      0.0008916427328897099,
      0.0008022799270183058,
      0.000714198784989691,
      0.0006273808889153893,
      0.0005418081175761802,
      0.0004574626771363223,
      0.0003743269423309192,
      0.00029238365440078785,
      0.00021161567508711643,
      0.00013200602764853908,
      5.353811632092925e-05,
      -2.3804402243737116e-05,
      -0.00010003763872062579,
      -0.00017517751538592582,
      -0.0002492396885384922,
      -0.0003222396545376049,
      -0.00039419265794976273,
      -0.00046511380868409833,
      -0.000535017874114986,
      -0.000603919375192054,
      -0.0006718325609173996,
      -0.0007387717504116282,
      -0.0008047509055773419,
      -0.0008697837497975052,
      -0.0009338838088564011,
      -0.0009970645912631365,
      -0.0010593392725218634,
      -0.0011207208039239417,
      -0.0011812220144411547,
      -0.0012408555337765177,
      -0.0012996338101417728,
      -0.0013575690319010561,
      -0.0014146733154189407
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.5668612835294,
      10.336962446079907,
      10.09933534243458,
      9.856982107461446,
      9.612339583442685,
      9.36751662390782,
      9.124348807911554,
      8.884353760107214,
      8.648730851640401,
      8.418390207714072,
      8.193955822534264,
      7.975782199253743,
      7.763982405146384,
      7.558464802009425,
      7.358974259620472,
      7.165128108100653,
      6.976453946794966,
      6.792434862012653,
      6.612541955486746,
      6.436259858606239,
      6.263100771295939,
      6.092617775804031,
      5.924423447374026,
      5.758197082310085,
      5.593689918452943,
      5.430730255039462,
      5.269221807694684,
      5.109148290418278,
      4.950566452989901,
      4.793595927936027,
      4.638416737090152,
      4.485274708878102,
      4.334466074410393,
      4.186341144477538,
      4.041300464670983,
      3.8997540448072163,
      3.7621022156467423,
      3.628722970296121,
      3.499962638777074,
      3.376127851114082,
      3.2574740452910675,
      3.1442005604636143,
      3.0364490276239846,
      2.9343006192226166,
      2.8377680266992775,
      2.746798289694864,
      2.661282332749557,
      2.5810662816236345,
      2.5059437542836114,
      2.4356780524981034,
      2.370021642795884,
      2.308697314727469,
      2.2513958810527566,
      2.197786207770695,
      2.1474923563126787,
      2.1001330804040896,
      2.0553592589374143,
      2.0128437515991116,
      1.9722902252160712,
      1.9334441048945745,
      1.8961026846073596,
      1.8601065920282567,
      1.8253257007936203,
      1.7916470108752132,
      1.7589771479470633,
      1.7272411569787296,
      1.6963774290832947,
      1.6663342196244482,
      1.6370671633995997,
      1.608537496484755,
      1.5807098660719,
      1.5535498826176517,
      1.527026684442137,
      1.501112792367372,
      1.475783354424474,
      1.4510156095106503,
      1.426788500678815,
      1.403082394304051,
      1.3798788719155144,
      1.3571614213815195,
      1.334915465703281,
      1.3131268761480765,
      1.2917817636837239,
      1.2708665874626215,
      1.250368219833585,
      1.2302739822283995,
      1.2105716602510859,
      1.1912495062823325,
      1.1722962339724787,
      1.1537010063333089,
      1.1354534220140544,
      1.117544246762717,
      1.0999656489761456,
      1.0827114906085618,
      1.0657754688236243,
      1.0491506799249382,
      1.032829913780745,
      1.0168058474022184,
      1.0010711733611126,
      0.9856196068024439,
      0.9704462678688803,
      0.9555458905767876,
      0.9409127995713535,
      0.9265411208686144,
      0.9124249191222442,
      0.8985582874727396,
      0.884935404308085,
      0.871550567951159,
      0.8583982183628535,
      0.8454729486630407,
      0.8327695102149587,
      0.8202828129123063,
      0.8080079246359935,
      0.7959400675784013,
      0.7840746135521565,
      0.7724070796514293,
      0.760933123469061,
      0.7496485374241163,
      0.7385492437300106,
      0.7276312893967052,
      0.716890841162498,
      0.7063241810894353,
      0.6959277018734383,
      0.6856979023165267,
      0.6756313830757835,
      0.6657248428754179,
      0.6559750749633986,
      0.6463789592397037,
      0.636933410971274,
      0.6276354117912248,
      0.6184820511516897,
      0.6094705138455002,
      0.6005980716538901,
      0.5918620760956422,
      0.5832599534549482,
      0.5747892002435525,
      0.5664473793623582,
      0.5582321176384474,
      0.5501409209705851,
      0.54217089905047,
      0.534319335835574,
      0.5265837551953177,
      0.5189618588838142,
      0.5114514842591354,
      0.504050574916119,
      0.49675715988159586,
      0.4895693394123089,
      0.4824852751506467,
      0.4755031825839061,
      0.4686213257455199,
      0.4618380132355639,
      0.45515159520368687,
      0.4485604607609958,
      0.4420630362034893,
      0.4356577831614153,
      0.42934319749129396,
      0.4231178076436274,
      0.4169801735528727,
      0.4109288857479249,
      0.4049625644339984,
      0.3990798583463392,
      0.3932794439641889,
      0.3875600248593734,
      0.38192039664402294,
      0.3763596371970923,
      0.37087682498225294,
      0.3654709857943368,
      0.36014110371176733,
      0.354886122147348,
      0.34970484761722403,
      0.34459588333844987,
      0.3395579973291004,
      0.33459051214397967,
      0.32969283729998555,
      0.3248642730011046,
      0.3201042083839402,
      0.31541196467182464,
      0.3107867496441195,
      0.30622770104651,
      0.30173391588088055,
      0.2973044695302839,
      0.2929384283915879,
      0.28863485846972164,
      0.28439289689309377,
      0.2802117620758224,
      0.276090648311592,
      0.27202872355950236,
      0.2680251429699609,
      0.26407905817968186,
      0.26018962307396853,
      0.25635628526592263,
      0.2525786552838129,
      0.24885619471513323,
      0.24518826908932917,
      0.24157418411163253,
      0.23801320962676806,
      0.23450459583081712,
      0.2310475842366912,
      0.22764141455443818,
      0.2242853294602765,
      0.22097857780814795,
      0.2177204167294035,
      0.21451009505711752,
      0.2113467932538638,
      0.20822970493226386,
      0.20515806918418428,
      0.20213115913122115,
      0.1991482743765021,
      0.19620873567330716,
      0.19331188134702937,
      0.19045706497343767,
      0.18764365351706336,
      0.18487102608857336,
      0.18213857315246176,
      0.1794456958256549,
      0.17679180536751798,
      0.17417632280857887,
      0.17159867855231148,
      0.16905831228599766,
      0.16655467255824602,
      0.16408721676056476,
      0.16165541080666984,
      0.1592587290182025,
      0.1568966539559377,
      0.1545686762852728,
      0.15227429449169208,
      0.1500130148589341,
      0.14778435132826143,
      0.1455878253534992,
      0.14342296577077326,
      0.14128930858072208,
      0.1391863969672081,
      0.13711378111442188,
      0.13507101806304345,
      0.13305767151671036,
      0.13107331197961222,
      0.12911751651393258,
      0.12718986840220642,
      0.1252899573695104,
      0.12341737916975574,
      0.12157173594776913,
      0.11975263568591649,
      0.11795969232446453,
      0.11619252545506552,
      0.11445076049668694,
      0.11273402850189605,
      0.11104196606401669,
      0.10937421517238877,
      0.10773042307839788,
      0.106110242337705,
      0.10451333080668064,
      0.10293935132522271,
      0.10138797168968305,
      0.09985886481413304,
      0.09835170824076886,
      0.09686618443558156,
      0.09540198057909312,
      0.09395878839222539,
      0.09253630426411649,
      0.09113422893721324,
      0.0897522676598917,
      0.08839012992768992,
      0.08704752959600193,
      0.08572418470870447,
      0.08441981732208192,
      0.08313415379822574,
      0.08186692441974774,
      0.0806178634128291,
      0.07938670883801377,
      0.07817320261210386,
      0.07697709065203373,
      0.07579812237779648,
      0.07463605080689868,
      0.07349063273467253,
      0.07236162847351685,
      0.0712488017955103,
      0.07015191986874479,
      0.06907075319289241,
      0.06800507575690139,
      0.06695466485334156,
      0.06591930098731058,
      0.06489876784176028,
      0.06389285210810873,
      0.06290134373187059,
      0.061924035718585554,
      0.06096072409093029,
      0.060011207720268814,
      0.05907528842963253,
      0.0581527709134279,
      0.05724346273805523,
      0.05634717425742281,
      0.055463718596414115,
      0.054592911511103126,
      0.0537345714208444,
      0.05288851942810891,
      0.05205457916710557,
      0.051232576814627485,
      0.050422341123062854,
      0.04962370325003733,
      0.04883649693123452,
      0.048060558217425955,
      0.047295725436547795,
      0.046541839346063235,
      0.04579874297270048,
      0.04506628165511021,
      0.04434430289502317,
      0.04363265634032473,
      0.042931193913464116,
      0.04223976962680467,
      0.04155823958446562,
      0.04088646211310761,
      0.040224297321526506,
      0.03957160759343417,
      0.038928257080375304,
      0.03829411193297428,
      0.037669040304404496,
      0.037052912218402234,
      0.03644559951447997,
      0.03584697598785256,
      0.03525691715176171,
      0.03467530026114253,
      0.03410200440313058,
      0.03353691041033466,
      0.03297990082211618,
      0.03243085991604686,
      0.03188967361570069,
      0.03135622945237768,
      0.03083041661275059,
      0.030312125789063636,
      0.029801249191271362,
      0.029297680682530795,
      0.028801315739967755,
      0.028312051173341454,
      0.027829785294321653,
      0.027354417926289173,
      0.026885850311506525,
      0.02642398522785861,
      0.0259687266274095,
      0.02551998000540624,
      0.025077652119500027,
      0.024641651146776203,
      0.024211886559818478,
      0.023788269052417717,
      0.023370710661017677,
      0.022959124662111554,
      0.022553425620824855,
      0.022153529291876493,
      0.021759352633526862,
      0.021370813829075727,
      0.02098783214282949,
      0.020610328125943555,
      0.020238223354443596,
      0.01987144059288233,
      0.01950990372717639,
      0.019153537638289062,
      0.01880226832143407,
      0.0184560229398649,
      0.018114729551936503,
      0.017778317401994106,
      0.017446716547592507,
      0.017119858158071575,
      0.01679767441011035,
      0.01648009846382612,
      0.016167064340545118,
      0.0158585071033805,
      0.015554362748917566,
      0.01525456810893272,
      0.014959060939944696,
      0.014667779952824362,
      0.014380664648857842,
      0.014097655457757579,
      0.013818693669635281,
      0.013543721440117435,
      0.013272681684436304,
      0.013005518044246354,
      0.012742175150396488,
      0.012482598271862818,
      0.012226733604024527,
      0.011974528095484355,
      0.011725929386504668,
      0.011480885858164603,
      0.011239346626820529,
      0.011001261605512494,
      0.010766581383878914,
      0.010535257320481084,
      0.010307241358351772,
      0.010082487286587671,
      0.009860951278362524,
      0.00964258939667482,
      0.009427357753327857,
      0.00921521252748155,
      0.009006110194316796,
      0.008800007513479006,
      0.008596861734649082,
      0.008396630658771281,
      0.008199272593296565,
      0.008004746443060907,
      0.007813011669976923,
      0.007624028210238656,
      0.00743775654601751,
      0.0072541578178144045,
      0.007073193703493139,
      0.00689482641425978,
      0.006719018724654295,
      0.006545733928198198,
      0.0063749357949513365,
      0.006206588563018707,
      0.006040657046376149,
      0.005877106604765294,
      0.005715903116042314,
      0.005557012918417236,
      0.005400402850218909,
      0.005246040126026133,
      0.005093892405345269,
      0.004943927881824931,
      0.004796115419190854,
      0.004650424041065225,
      0.004506823242029347,
      0.004365283096745608,
      0.004225774078986448,
      0.004088267028350315,
      0.003952733175811376,
      0.0038191442088699856,
      0.003687472230446074,
      0.0035576896429374803,
      0.003429769479028862,
      0.00330368493287006,
      0.0031794096687113907,
      0.0030569176663753327,
      0.0029361834628378503,
      0.002817181747108534,
      0.0026998875465983024,
      0.0025842765045598097,
      0.0024703244854415805,
      0.002358007664894359,
      0.002247302480466545,
      0.00213818591474326,
      0.002030635201240048,
      0.001924627868653771,
      0.0018201416907397427,
      0.0017171548918252563,
      0.0016156459149267621,
      0.0015155935151906913,
      0.0014169768292836263,
      0.0013197753124947157,
      0.0012239685817959217,
      0.0011295366665581444,
      0.001036459872981214,
      0.0009447186620492628,
      0.0008542938911114635,
      0.0007651666622483018,
      0.000677318413609701,
      0.0005907307637360941,
      0.0005053856302735009,
      0.0004212652034616686,
      0.00033835181908744417,
      0.0002566281816169589,
      0.00017607722637439055,
      9.668221804321594e-05,
      1.8426551142879493e-05,
      -5.8706155879998474e-05,
      -0.00013473199157697723,
      -0.0002096668272431741,
      -0.00028352639207614687,
      -0.0003563260930252256,
      -0.0004280810562557761,
      -0.0004988063585020591,
      -0.0005685168442891205,
      -0.0006372270124750293,
      -0.0007049511814199469,
      -0.0007717035706222493,
      -0.0008374981464920668,
      -0.0009023486264953564,
      -0.0009662685137792138,
      -0.001029271213921826,
      -0.0010913698265905588,
      -0.0011525773624502422,
      -0.0012129066098043864,
      -0.0012723701211437206,
      -0.0013309803196551611,
      -0.0013887495036561282,
      -0.0014456898182379793
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566858141337832,
      10.33694685025415,
      10.099299571091482,
      9.856920710516407,
      9.612248508526628,
      9.367392823308151,
      9.124190519043735,
      8.884160569245893,
      8.648502934816543,
      8.418128047430688,
      8.193660063097226,
      7.975453510082338,
      7.763621394078555,
      7.55807194141041,
      7.358549873401888,
      7.1646721737819945,
      6.975966279734102,
      6.791915266629053,
      6.6119902634438334,
      6.435676004087129,
      6.262485033180124,
      6.091970643049544,
      5.923745580299398,
      5.75748941468156,
      5.5929536822093056,
      5.429966992308235,
      5.268433411185828,
      5.108337046398156,
      4.949735060450993,
      4.7927472812247425,
      4.637554029302433,
      4.48440152527505,
      4.333586276472244,
      4.1854594073312565,
      4.040421807498948,
      3.8988833794593565,
      3.761244239999817,
      3.6278820825833455,
      3.4991430091930718,
      3.3753332458177026,
      3.2567076967668314,
      3.143465140733233,
      3.035746639009534,
      2.9336326344992667,
      2.8371350526603685,
      2.7462000979713994,
      2.6607181241374747,
      2.5805346265356035,
      2.505442425857282,
      2.4352047651592206,
      2.369573941806529,
      2.3082725530985213,
      2.2509911856237204,
      2.1973983459614335,
      2.1471177721395414,
      2.09976860136406,
      2.05500194165029,
      2.012490855607666,
      1.9719394984984606,
      1.9330937913868325,
      1.8957515006583805,
      1.8597535940181005,
      1.8249701723969554,
      1.7912884035374277,
      1.7586150850584084,
      1.7268753943462736,
      1.6960078176188043,
      1.6659606780763563,
      1.6366896589038697,
      1.6081560301275724,
      1.5803244841404809,
      1.5531606503824047,
      1.5266336713103767,
      1.5007160703464213,
      1.475382997586331,
      1.4506116926774444,
      1.4263810987522008,
      1.4026715816765056,
      1.379464722572048,
      1.3567440430570856,
      1.334494988319038,
      1.3127034099300174,
      1.291355404759856,
      1.2704374224561934,
      1.2499363286377563,
      1.229839439366815,
      1.2101345364507428,
      1.1908098695450493,
      1.1718541499409885,
      1.153256539221839,
      1.1350066344756597,
      1.117095227587631,
      1.0995146479766504,
      1.0822587716105232,
      1.065321227143527,
      1.0486950638823436,
      1.0323730391225465,
      1.0163478084208741,
      1.0006120492959334,
      0.9851597056972153,
      0.9699859103868553,
      0.9550853019308128,
      0.9404521410472613,
      0.9260805103322527,
      0.9119644453775971,
      0.8980980195133492,
      0.8844753977683306,
      0.8710908698378094,
      0.857938869669354,
      0.8450139863983899,
      0.8323109680878524,
      0.8198247229115615,
      0.8075503173729605,
      0.7954829724106324,
      0.7836180593027938,
      0.7719510945267168,
      0.7604777352178549,
      0.7491937733826038,
      0.7380951307784969,
      0.7271778542860133,
      0.716438110320887,
      0.7058721804690069,
      0.6954764569376647,
      0.6852474385770817,
      0.67518172567788,
      0.6652760165291886,
      0.6555271040683011,
      0.6459318667277802,
      0.6364872179496013,
      0.6271901398936933,
      0.6180377221866624,
      0.6090271497663127,
      0.6001556941407076,
      0.5914207067643955,
      0.5828196137025455,
      0.5743499110081666,
      0.5660091614611442,
      0.5577949914865261,
      0.5497049494627265,
      0.5417361584820279,
      0.5338858832012296,
      0.5261516346730398,
      0.5185311058010036,
      0.5110221278280928,
      0.5036226397725675,
      0.4963306676789664,
      0.4891443098147107,
      0.4820617262030474,
      0.475081131275205,
      0.4682007880026125,
      0.4614190042397649,
      0.4547341293940061,
      0.448144552007622,
      0.4416486979242158,
      0.4352450284313847,
      0.428932039019843,
      0.4227082575928326,
      0.41657224380770824,
      0.41052258767239647,
      0.4045579089774671,
      0.39867685622060567,
      0.3928781055614321,
      0.3871603601905918,
      0.38152248207785233,
      0.3759635715942402,
      0.37048268102300536,
      0.3650788228361672,
      0.35975096198686274,
      0.3544980289268367,
      0.3493188127779227,
      0.34421191030732173,
      0.3391761481667095,
      0.3342109248254756,
      0.32931560190664627,
      0.32448946487886066,
      0.3197319021030865,
      0.31504220684746836,
      0.3104195684022016,
      0.30586311208163175,
      0.3013719263790633,
      0.2969450807217248,
      0.292581637671748,
      0.2882806606255503,
      0.28404130106528347,
      0.2798627786858275,
      0.2757442804352932,
      0.271684969195722,
      0.2676839968295359,
      0.2637405125944571,
      0.259853681127852,
      0.2560229692607443,
      0.25224797659702725,
      0.24852815628275304,
      0.2448628681051856,
      0.24125141376139533,
      0.23769306055060171,
      0.23418705690064476,
      0.2307326429176466,
      0.22732905742461137,
      0.2239755425728632,
      0.22067134685917347,
      0.21741572710787288,
      0.21420792837046412,
      0.2110471257660378,
      0.20793251590799475,
      0.204863339953428,
      0.20183887233963768,
      0.1988584134937073,
      0.19592128482126406,
      0.19302682510419797,
      0.19017438807762765,
      0.1873633409370144,
      0.18459306298074907,
      0.18186294469027142,
      0.17917238718048845,
      0.17652080170133583,
      0.17390760932939128,
      0.1713322405369644,
      0.168794134994398,
      0.16629274121034604,
      0.1638275165568222,
      0.16139792701104527,
      0.15900344685023846,
      0.15664355869794455,
      0.15431775321110866,
      0.15202552882024742,
      0.14976639179573203,
      0.14753985605576536,
      0.14534544310313235,
      0.14318268170379303,
      0.1410511080626452,
      0.13895026533377275,
      0.13687970378669323,
      0.13483898041417738,
      0.13282765903083452,
      0.13084531002883706,
      0.12889151040807942,
      0.12696584361601948,
      0.1250678993437807,
      0.12319727351923662,
      0.12135356808377976,
      0.11953639107452373,
      0.11774535644486675,
      0.11598008401899478,
      0.11424019921006878,
      0.11252533313170258,
      0.11083512230776298,
      0.10916920876233631,
      0.1075272398030136,
      0.10590886807586429,
      0.10431375143463141,
      0.10274155278869629,
      0.10119194001241204,
      0.09966458601736844,
      0.09815916849791192,
      0.09667536987732447,
      0.09521287735911413,
      0.09377138271454517,
      0.09235058234020693,
      0.09095017710248944,
      0.08956987226739063,
      0.08820937742007284,
      0.08686840646302477,
      0.08554667739375062,
      0.08424391254871108,
      0.08295983821952348,
      0.08169418469691961,
      0.08044668631607241,
      0.07921708130306213,
      0.07800511170819588,
      0.07681052334999325,
      0.07563306576274144,
      0.0744724920114871,
      0.07332855890752085,
      0.07220102674089807,
      0.07108965938858286,
      0.06999422410124567,
      0.06891449157611616,
      0.0678502358322733,
      0.06680123419346007,
      0.06576726725753464,
      0.06474811869985261,
      0.06374357544737107,
      0.06275342747323909,
      0.06177746778421377,
      0.06081549236171952,
      0.05986730025415438,
      0.05893269342586139,
      0.05801147663291596,
      0.057103457452421985,
      0.056208446341346474,
      0.05532625648982898,
      0.0544567036273675,
      0.05359960627110254,
      0.05275478559664091,
      0.05192206542046792,
      0.051101271956851886,
      0.05029223400390099,
      0.04949478283040485,
      0.0487087521931316,
      0.04793397817571066,
      0.047170299272004265,
      0.046417556242661764,
      0.045675592238416385,
      0.0449442526235946,
      0.04422338499570313,
      0.043512839162906845,
      0.04281246708813401,
      0.04212212275902538,
      0.0414416624406662,
      0.04077094444735819,
      0.040109829023842886,
      0.03945817859674417,
      0.03881585742951988,
      0.038182731787721275,
      0.03755866981855439,
      0.03694354163849725,
      0.036337219278952775,
      0.03573957647356375,
      0.03515048875437325,
      0.03456983353598608,
      0.03399749001585704,
      0.0334333391643564,
      0.03287726359111313,
      0.03232914748124646,
      0.03178887678268659,
      0.031256339180830955,
      0.03073142386671254,
      0.030214021654656115,
      0.029704024889609625,
      0.029201327573787284,
      0.028705825130645936,
      0.028217414498751148,
      0.027735994021664736,
      0.027261463610468384,
      0.026793724536775133,
      0.026332679676704877,
      0.025878233150093546,
      0.02543029036545178,
      0.024988758266869495,
      0.02455354505293516,
      0.024124560243594634,
      0.023701714587186805,
      0.023284920175417848,
      0.022874090379320172,
      0.02246913986009603,
      0.022069984381299958,
      0.021676540975415493,
      0.0212887278288089,
      0.02090646447688665,
      0.020529671361568667,
      0.020158270187781845,
      0.0197921838332417,
      0.019431336167125286,
      0.019075652178189934,
      0.018725057948034193,
      0.018379480603338397,
      0.01803884827838633,
      0.017703090221548427,
      0.017372136658087328,
      0.01704591886650593,
      0.016724369125621936,
      0.01640742055104646,
      0.016095007208136905,
      0.015787064209967772,
      0.015483527653740836,
      0.015184334414989648,
      0.014889422370695368,
      0.014598730219458412,
      0.014312197482866372,
      0.014029764771013219,
      0.013751373409565166,
      0.013476965438815791,
      0.013206483857010932,
      0.012939872492476901,
      0.01267707596752544,
      0.012418039691578517,
      0.01216270981846704,
      0.011911033398119802,
      0.01166295810527091,
      0.011418432326650081,
      0.011177405314871042,
      0.010939826977450651,
      0.010705648043007436,
      0.010474819808188299,
      0.010247294368244467,
      0.010023024829547986,
      0.009801966976877474,
      0.009584077433153202,
      0.009369312509977658,
      0.009157628589797398,
      0.008948982310911355,
      0.008743330524439956,
      0.00854063072949166,
      0.008340840759936678,
      0.008143918917980952,
      0.007949824262242418,
      0.007758516148050152,
      0.0075699545578945685,
      0.007384100249556402,
      0.007200914296792592,
      0.007020358483823366,
      0.006842395021628053,
      0.006666986635043427,
      0.006494096677354707,
      0.006323688954526149,
      0.006155727888648918,
      0.005990178340084524,
      0.00582700562226877,
      0.00566617566449857,
      0.005507654884557178,
      0.005351410018749849,
      0.005197408455857287,
      0.005045617937207944,
      0.004896006729229364,
      0.00474854354951459,
      0.004603197590640962,
      0.004459938462760844,
      0.004318736175899838,
      0.004179561232411552,
      0.004042384498477454,
      0.003907177229575495,
      0.0037739111866618774,
      0.003642558474510088,
      0.003513091642115039,
      0.0033854835685279247,
      0.003259707610841615,
      0.0031357374042917793,
      0.0030135470703416007,
      0.002893111134067142,
      0.0027744043160121477,
      0.0026574018470203425,
      0.0025420792242415516,
      0.002428412299468106,
      0.002316377413417014,
      0.0022059510291069203,
      0.0020971100404160847,
      0.001989831694060129,
      0.00188409361470248,
      0.001779873698191379,
      0.0016771500691272303,
      0.0015759012495453744,
      0.0014761060936191181,
      0.0013777437428062912,
      0.0012807936713364223,
      0.001185235465519388,
      0.0010910492335259648,
      0.000998215355461407,
      0.0009067142791504844,
      0.0008165268504909547,
      0.0007276342700763078,
      0.0006400179558472694,
      0.0005536595272431187,
      0.0004685410130026047,
      0.0003846446025911744,
      0.00030195271610663983,
      0.00022044806251977385,
      0.00014011362268198077,
      6.093262701088735e-05,
      -1.7111459301678457e-05,
      -9.403507139794972e-05,
      -0.0001698543419906039,
      -0.00024458506293641196,
      -0.00031824282353479845,
      -0.0003908430527950621,
      -0.0004624009779756114,
      -0.0005329315892029876,
      -0.0006024495518295501,
      -0.000670969346747717,
      -0.0007385053973269518,
      -0.0008050718461075502,
      -0.0008706825910673706,
      -0.000935351340345288,
      -0.0009990915388071878,
      -0.0010619165863256879,
      -0.0011238395847051482,
      -0.0011848735295248635,
      -0.0012450312017987446,
      -0.0013043251992205479,
      -0.0013627678965328993,
      -0.001420371500440731,
      -0.0014771480912680066
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56685499812901,
      10.336931248735166,
      10.099263785172981,
      9.856859282841848,
      9.612157378986748,
      9.36726893712297,
      9.124032054614425,
      8.883967066173748,
      8.64827457822583,
      8.417865329079188,
      8.193363634468481,
      7.975124048325595,
      7.7632595132964415,
      7.557678119906118,
      7.358124440880602,
      7.164215114804384,
      6.975477417342399,
      6.791394410226814,
      6.611437249406737,
      6.435090769125069,
      6.261867858695589,
      6.091322020196757,
      5.923066169583364,
      5.75678015116012,
      5.592215798494977,
      5.429202032917885,
      5.267643272242972,
      5.107524016916995,
      4.948901842217005,
      4.791896775035743,
      4.636689433336285,
      4.483526430394037,
      4.33270454652406,
      4.184575719603075,
      4.039541184903532,
      3.8980107368383146,
      3.7603842784259025,
      3.6270392039278025,
      3.498321386555783,
      3.374536648410831,
      3.255939360059884,
      3.1427277394668804,
      3.0350422777886186,
      2.9329626842304957,
      2.836500092835127,
      2.745599881011465,
      2.6601518631681484,
      2.58000090356147,
      2.5049390248678325,
      2.434729409532454,
      2.3691241860404957,
      2.307845758963973,
      2.25058448718651,
      2.197008515483577,
      2.1467412301252646,
      2.0994021639978273,
      2.0546426794213324,
      2.0121360376754827,
      1.9715868799189056,
      1.9327416211170014,
      1.8953984985508168,
      1.859398818601389,
      1.8246129095246109,
      1.7909281141740159,
      1.758251391001896,
      1.726508049600411,
      1.6956366708453166,
      1.6655856460562626,
      1.6363107066975557,
      1.6077731572630305,
      1.5799377358273905,
      1.5527700909007147,
      1.5262393687697662,
      1.5003180951613133,
      1.474981422002519,
      1.4502065901291723,
      1.4259725428956849,
      1.4022596458612522,
      1.3790494878855786,
      1.356325620595424,
      1.3340735028017234,
      1.312278967743114,
      1.2909280996603283,
      1.2700073391022224,
      1.2495035449103877,
      1.229404028345511,
      1.2096965677868905,
      1.1903694102325042,
      1.171411264991436,
      1.1528112918364475,
      1.1345590927315354,
      1.1166454830968442,
      1.099062947320112,
      1.0818053759433237,
      1.064866329519762,
      1.0482388109199396,
      1.0319155460394798,
      1.0158891683752596,
      1.0001523402456642,
      0.9846992353266822,
      0.9695249987038388,
      0.9546241738088828,
      0.9399909573444253,
      0.925619388755974,
      0.9115034744373518,
      0.8976372679773618,
      0.8840149212180656,
      0.8706307148415858,
      0.8574790764991116,
      0.8445545911599964,
      0.8318520043713934,
      0.8193662225074441,
      0.8070923104625359,
      0.7950254881991002,
      0.7831611264846436,
      0.7714947413823374,
      0.7600219892649911,
      0.7487386616507455,
      0.7376406800710922,
      0.7267240908457384,
      0.7159850601954298,
      0.7054198695611015,
      0.6950249108406913,
      0.6847966823493913,
      0.6747317840378487,
      0.6648269142697805,
      0.6550788651900213,
      0.6454845136879058,
      0.6360407715074724,
      0.6267446214873077,
      0.6175931536305143,
      0.6085835529176256,
      0.5997130906588967,
      0.5909791183460931,
      0.582379061647223,
      0.573910416258766,
      0.5655707448652417,
      0.5573576732613281,
      0.5492687750241485,
      0.5413012099806002,
      0.5334522214846417,
      0.525719306297041,
      0.5181001477667566,
      0.5105925702211243,
      0.5031945081446096,
      0.4959039841106307,
      0.4887190941394449,
      0.4816379966071228,
      0.47465890432690705,
      0.4677800795609331,
      0.46099982931236266,
      0.4543165025216696,
      0.4477284872351314,
      0.44123420868797436,
      0.434832127771261,
      0.4285207392762137,
      0.4222985707580053,
      0.416164181566519,
      0.4101161614374485,
      0.40415312976671264,
      0.39827373452953874,
      0.39247665163640927,
      0.38676058389041773,
      0.38112447160079366,
      0.3755674212479356,
      0.3700884649388642,
      0.3646865967056761,
      0.35936076353450114,
      0.3541098838602258,
      0.3489327301453774,
      0.34382789307041794,
      0.3387943079426529,
      0.33383138173561544,
      0.32893843437256476,
      0.32411475394817013,
      0.319359712402601,
      0.314672578527273,
      0.3100525250338078,
      0.30549866616460136,
      0.3010100829337766,
      0.2965858398979064,
      0.29222499616548586,
      0.287926619031651,
      0.28368987091874026,
      0.2795139666737739,
      0.2753980870573053,
      0.2713413908447634,
      0.26734302711662344,
      0.26340214319032423,
      0.25951791617510933,
      0.25568983150411323,
      0.2519174765557778,
      0.24820029610388836,
      0.244537644424711,
      0.24092881948719683,
      0.23737308604422175,
      0.2338696906639429,
      0.23041787230920757,
      0.22701686896266163,
      0.22366592225888768,
      0.22036428037068223,
      0.21711119978489601,
      0.21390592135868997,
      0.21074761553514484,
      0.20763548188361988,
      0.20456876348063036,
      0.20154673617465518,
      0.19856870127466406,
      0.19563398066815846,
      0.19274191352462022,
      0.18989185383485874,
      0.18708316903242742,
      0.1843152383816756,
      0.18158745246386823,
      0.17889921247396914,
      0.17624992973469417,
      0.1736390252855388,
      0.17106592961002834,
      0.1685300822969182,
      0.16603093199141458,
      0.1635679360761108,
      0.1611405603806873,
      0.15874827927565774,
      0.1563905753435363,
      0.15406693921108966,
      0.15177686945424254,
      0.1495198723524877,
      0.14729546178522088,
      0.145103159199989,
      0.14294249360789166,
      0.14081300108575046,
      0.1387142247304853,
      0.13664571479917478,
      0.1346070283545473,
      0.13259772924241037,
      0.13061738787898844,
      0.12866558122341454,
      0.12674189273787317,
      0.12484591227234668,
      0.12297723568887804,
      0.12113546507055509,
      0.11932020854902273,
      0.1175310800364337,
      0.11576769930650979,
      0.11402969176936864,
      0.11231668855090654,
      0.1106283262214582,
      0.10896424700022161,
      0.10732409825251568,
      0.10570753263414416,
      0.10411420792186749,
      0.10254378714709203,
      0.10099593828935656,
      0.0994703341386998,
      0.09796665250485946,
      0.09648457590927748,
      0.09502379155381689,
      0.09358399136253316,
      0.0921648718106371,
      0.0907661337436611,
      0.08938748247249424,
      0.08802862764191186,
      0.08668928322873054,
      0.08536916736758403,
      0.08406800236605153,
      0.08278551457829376,
      0.08152143443962137,
      0.08027549623216942,
      0.0790474382809853,
      0.07783700256963909,
      0.07664393496022492,
      0.07546798503018065,
      0.0743089060968104,
      0.07316645497242673,
      0.07204039206295679,
      0.07093048130105896,
      0.06983649002872123,
      0.06875818896540777,
      0.06769535227397105,
      0.0666477572769612,
      0.06561518451820304,
      0.06459741787433892,
      0.06359424430335543,
      0.06260545382702273,
      0.06163083962664383,
      0.060670197749235565,
      0.059723327247695766,
      0.05879003015066399,
      0.0578701113034618,
      0.056963378388108374,
      0.05606964188723453,
      0.05518871495629869,
      0.054320413535180655,
      0.05346455625682276,
      0.05262096433425199,
      0.051789461571810545,
      0.050969874389051734,
      0.05016203164180067,
      0.04936576461422849,
      0.0485809070743096,
      0.047807295281330923,
      0.047044767847046635,
      0.04629316555468627,
      0.045552331501366235,
      0.044822111134459164,
      0.044102352160217545,
      0.043392904572306164,
      0.04269362034862082,
      0.04200435363308964,
      0.04132496065807018,
      0.04065529988178466,
      0.039995231599811755,
      0.039344618269660486,
      0.03870332421057174,
      0.03807121574642143,
      0.037448161241814035,
      0.03683403078920718,
      0.036228696390003125,
      0.035632031967880895,
      0.035043913083634234,
      0.034464217270820476,
      0.03389282385387693,
      0.033329613804979376,
      0.032774469766157284,
      0.03222727609077679,
      0.03168791879919897,
      0.031156285547474783,
      0.030632265732374864,
      0.030115750183538563,
      0.029606631303448608,
      0.029104803111243565,
      0.028610161095882894,
      0.028122602310266823,
      0.027642025204396965,
      0.027168329654439032,
      0.026701417182295475,
      0.02624119058937196,
      0.025787554041026874,
      0.025340413098829825,
      0.02489967473294927,
      0.024465247193508302,
      0.024037040077972294,
      0.023614964206388207,
      0.023198931794102685,
      0.022788856190790203,
      0.02238465212669304,
      0.021986235486864826,
      0.02159352335102576,
      0.021206434031460115,
      0.020824887013920455,
      0.02044880288420966,
      0.020078103354270852,
      0.01971271135638713,
      0.0193525508876258,
      0.018997547011162474,
      0.018647625874500594,
      0.018302714661781072,
      0.017962741543928018,
      0.017627635791498394,
      0.017297327777636283,
      0.016971748800576274,
      0.016650831119766035,
      0.016334507963999444,
      0.0160227134986197,
      0.01571538296184128,
      0.015412452398407628,
      0.015113858777657167,
      0.014819540007370735,
      0.014529434862034235,
      0.014243483010001591,
      0.013961624999630941,
      0.01368380208976014,
      0.013409956572839889,
      0.013140031586845059,
      0.012873970898631902,
      0.01261171916688342,
      0.012353221903288308,
      0.012098425385859084,
      0.011847276499288139,
      0.01159972302919476,
      0.011355713565436252,
      0.011115197344956943,
      0.010878124338207742,
      0.010644445230884663,
      0.010414111512911675,
      0.010187075267469741,
      0.009963289154637185,
      0.009742708286450161,
      0.009525289714025643,
      0.009310990096220446,
      0.009099766045070816,
      0.00889157434975617,
      0.008686372131674301,
      0.008484116828810584,
      0.008284766302185043,
      0.008088279147598793,
      0.007894614291438451,
      0.007703731243029434,
      0.007515590113792016,
      0.007330151658054723,
      0.007147377029862915,
      0.006967227948501137,
      0.006789666688535811,
      0.0066146561604259165,
      0.006442159707952686,
      0.006272141148705479,
      0.006104564975746489,
      0.005939396001815426,
      0.005776599609320819,
      0.005616141779855617,
      0.0054579890117275424,
      0.005302108060957525,
      0.0051484663708606165,
      0.004997031797798484,
      0.004847772618662089,
      0.00470065757173796,
      0.00455565584851283,
      0.004412737125556361,
      0.0042718714198046355,
      0.004133029308123345,
      0.003996181754622037,
      0.0038612999966180206,
      0.0037283558389695284,
      0.003597321460485633,
      0.003468169298523289,
      0.0033408723606431334,
      0.0032154040040350096,
      0.0030917379710399926,
      0.002969848457660188,
      0.0028497099491456785,
      0.0027312972338348887,
      0.0026145854821795008,
      0.0024995503275503862,
      0.0023861676498764684,
      0.002274413620761471,
      0.0021642648516884784,
      0.002055698423099757,
      0.0019486915209733203,
      0.001843221830694274,
      0.0017392672139208052,
      0.001636805933557666,
      0.0015358164855778463,
      0.0014362776991869637,
      0.001338168838207644,
      0.0012414692906236432,
      0.001146158786595792,
      0.0010522174716382884,
      0.0009596256696647755,
      0.0008683639328553694,
      0.0007784131689025464,
      0.0006897545088272697,
      0.0006023694174541635,
      0.000516239620515832,
      0.0004313470457069662,
      0.00034767388529008343,
      0.00026520272338846477,
      0.0001839163213176094,
      0.00010379760710416335,
      2.482980578907338e-05,
      -5.3003651983273475e-05,
      -0.00012971906138403298,
      -0.00020533248832104323,
      -0.0002798597943034478,
      -0.00035331650802033717,
      -0.0004257180706188406,
      -0.0004970795972794753,
      -0.0005674159813258739,
      -0.0006367419335045831,
      -0.000705071988730123,
      -0.0007724205314631312,
      -0.0008388017250057494,
      -0.0009042292998258987,
      -0.0009687169765291633,
      -0.0010322783286976982,
      -0.0010949265692266124,
      -0.001156674856530191,
      -0.0012175361617672094,
      -0.0012775231479409798,
      -0.0013366484296567108,
      -0.0013949243618102598,
      -0.0014523631896226454,
      -0.0015089768998213498
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566851857158143,
      10.336915654331408,
      10.099228011688053,
      9.856797869476909,
      9.612066260540473,
      9.367145054899181,
      9.123873582734529,
      8.88377354113462,
      8.64804618288284,
      8.417602551795785,
      8.19306712789034,
      7.974794489630187,
      7.7628975177589306,
      7.557284166955055,
      7.357698859260297,
      7.163757887715581,
      6.974988366880045,
      6.790873346718596,
      6.610884011006303,
      6.434505294838434,
      6.2612504308091355,
      6.0906731305877635,
      5.922386479576535,
      5.756070597263399,
      5.591477615214955,
      5.42843676650236,
      5.266852820060949,
      5.106710669569024,
      4.948068293227167,
      4.7910459151300175,
      4.635824463408131,
      4.482650943522623,
      4.331822405350901,
      4.183691599652616,
      4.0386601056681,
      3.897137609938371,
      3.7595238019561643,
      3.626195776780532,
      3.497499179237559,
      3.373739427208803,
      3.255170358112166,
      3.141989629186809,
      3.0343371617864956,
      2.9322919338134232,
      2.835864290455941,
      2.7449987845147312,
      2.6595846906567524,
      2.579466242626375,
      2.5044346660844923,
      2.434253082216663,
      2.3686734496564577,
      2.307417980991457,
      2.2501768061198257,
      2.196617707326854,
      2.1463637002791383,
      2.0990347214515284,
      2.0542824045176333,
      2.0117802102149516,
      1.9712332628127467,
      1.9323884684182489,
      1.89504453313167,
      1.85904310125744,
      1.8242547280603312,
      1.7905669314992454,
      1.7578868303521715,
      1.7261398659165101,
      1.6952647135388337,
      1.665209831869201,
      1.6359310003292358,
      1.6073895574655916,
      1.5795502867812519,
      1.552378855662439,
      1.5258444144463126,
      1.4999194919010557,
      1.4745792416642067,
      1.4498009054422305,
      1.4255634269070012,
      1.4018471713106175,
      1.3786337376464506,
      1.355906706341237,
      1.3336515470504768,
      1.311854075515874,
      1.2905003631207743,
      1.2695768415483535,
      1.2490703638620042,
      1.2289682363530257,
      1.2092582340118707,
      1.1899286012211983,
      1.1709680448438415,
      1.1523657232958457,
      1.1341112515022678,
      1.1161954641088705,
      1.098610992509279,
      1.081351743263258,
      1.0644112100102197,
      1.0477823500663153,
      1.0314578576391613,
      1.0154303445386168,
      0.9996925509785417,
      0.9842388323187885,
      0.9690642536998367,
      0.9541632790622909,
      0.9395300516875612,
      0.9251585748080361,
      0.9110428306442663,
      0.8971768564181923,
      0.8835547926187045,
      0.8701709124829303,
      0.8570196390784092,
      0.8440955537977919,
      0.8313933999541832,
      0.8189080818928646,
      0.8066346632777701,
      0.7945683634210269,
      0.7827045523447267,
      0.7710387454107561,
      0.7595665986008827,
      0.7482839033407991,
      0.7371865805422734,
      0.7262706765108065,
      0.7155323571574281,
      0.7049679034590072,
      0.694573707371161,
      0.6843462665316244,
      0.6742821808414956,
      0.6643781480368607,
      0.6546309601146658,
      0.6450374928371392,
      0.6355946557008502,
      0.6262994321061623,
      0.6171489121883945,
      0.608140281131659,
      0.5992708104380523,
      0.5905378509829545,
      0.58193882824743,
      0.5734712377298009,
      0.5651326415408373,
      0.5569206654333838,
      0.5488329083894946,
      0.5408665666435865,
      0.533018862453894,
      0.5252872780128952,
      0.5176694869144728,
      0.510163306877732,
      0.5027666677017497,
      0.4954775888711609,
      0.48829416393103053,
      0.4812145494328335,
      0.47423695708029356,
      0.4673596480709207,
      0.4605809288369421,
      0.45389914752224314,
      0.4473126915501057,
      0.4408199856742589,
      0.4344194902863084,
      0.42810969985764213,
      0.4218891416193697,
      0.41575637425668444,
      0.40970998738422726,
      0.4037485999250756,
      0.39787085945710304,
      0.39207544135950706,
      0.38636107825722643,
      0.3807267733208137,
      0.3751716091526091,
      0.3696946037398889,
      0.3642947348540512,
      0.3589709339736541,
      0.35372210896606276,
      0.34854701665169935,
      0.34344424227680287,
      0.33841283025983104,
      0.33345219630017464,
      0.3285616190046862,
      0.3237403894242436,
      0.3189878629110991,
      0.31430328399272467,
      0.30968580897569303,
      0.3051345411398582,
      0.3006485540026314,
      0.2962269070156477,
      0.29186865580238963,
      0.28757287329178016,
      0.28333873250220526,
      0.2791654413614814,
      0.27505217479786975,
      0.270998087705827,
      0.2670023263919679,
      0.26306403649454957,
      0.2591824077917272,
      0.2553569441472364,
      0.25158722061874383,
      0.24787267374064242,
      0.2442126522076568,
      0.24060645022766858,
      0.2370533299099302,
      0.23355253624683467,
      0.23010330698541648,
      0.2267048793227361,
      0.22335649439353197,
      0.2200573999618991,
      0.2168068521559514,
      0.21360408472792994,
      0.2104482674849803,
      0.2073386026175031,
      0.20427433479024443,
      0.20125474099716625,
      0.198279123278276,
      0.19534680404278115,
      0.19245712291342276,
      0.18960943413912523,
      0.18680310521623852,
      0.18403751558119452,
      0.18131205587987978,
      0.17862612727657312,
      0.17597914111958615,
      0.17337051845288323,
      0.17079968981903015,
      0.1682660948880186,
      0.16576918225497367,
      0.16330840933676252,
      0.1608832419282619,
      0.15849315431440647,
      0.15613762904180045,
      0.15381615680775484,
      0.15152823614188823,
      0.14927337338253277,
      0.14705108244534204,
      0.14486088487379792,
      0.14270230958013588,
      0.1405748926198973,
      0.13847817715230573,
      0.13641171336977562,
      0.13437505839109853,
      0.13236777609209613,
      0.1303894369753751,
      0.12843961804087856,
      0.1265179027840014,
      0.12462388102916605,
      0.12275714868712263,
      0.12091730790030132,
      0.11910396667269686,
      0.1173167390784134,
      0.11555524489086348,
      0.1138191095613489,
      0.11210796423424113,
      0.11042144567940512,
      0.10875919594325724,
      0.1071208625388969,
      0.10550609810677988,
      0.10391456060786446,
      0.10234591294235684,
      0.10079982315778668,
      0.09927596420304728,
      0.09777401387741388,
      0.09629365478934851,
      0.09483457419184968,
      0.09339646397947286,
      0.09197902063819086,
      0.090581945146874,
      0.08920494284351328,
      0.08784772342746222,
      0.08651000091971076,
      0.0851914935200354,
      0.08389192358420067,
      0.08261101752643561,
      0.08134850585706319,
      0.08010412291979038,
      0.07887760710703565,
      0.07766870056131578,
      0.07647714926896922,
      0.07530270276964342,
      0.07414511434302982,
      0.07300414089409489,
      0.07187954295641073,
      0.07077108451771869,
      0.06967853302029645,
      0.06860165922734389,
      0.06754023733392503,
      0.06649404470531452,
      0.06546286206584058,
      0.06444647329635958,
      0.0634446653703555,
      0.06245722838087331,
      0.06148395552490657,
      0.06052464308341214,
      0.05957909017094119,
      0.05864709882980305,
      0.05772847391542452,
      0.05682302321202934,
      0.05593055724704161,
      0.055050889322667725,
      0.05418383557070205,
      0.05332921453739143,
      0.0524868474678136,
      0.05165655843781306,
      0.050838173781216606,
      0.05003152243516792,
      0.04923643575753724,
      0.04845274766851174,
      0.0476802944009981,
      0.04691891456212925,
      0.04616844905405673,
      0.045428741149769566,
      0.0446996364728632,
      0.04398098272561691,
      0.04327262990211666,
      0.04257442997221393,
      0.041886237222072464,
      0.041207908101143845,
      0.04053930094975686,
      0.039880276265601665,
      0.03923069661558138,
      0.03859042636761235,
      0.03795933189751333,
      0.03733728147867719,
      0.03672414538598346,
      0.036119795784721125,
      0.0355241065691974,
      0.034936953485168565,
      0.03435821410018313,
      0.03378776770127633,
      0.03322549530428288,
      0.0326712797686364,
      0.03212500543866396,
      0.03158655850641912,
      0.0310558266182872,
      0.030532699152061207,
      0.030017067023179585,
      0.029508822831504977,
      0.029007860651383843,
      0.02851407606324948,
      0.0280273661080819,
      0.027547629375008795,
      0.027074765871895265,
      0.02660867702242911,
      0.026149265707058476,
      0.025696436220454318,
      0.025250094195886835,
      0.02481014662433301,
      0.024376501891608258,
      0.023949069553098876,
      0.023527760667326137,
      0.02311248746670451,
      0.022703163395873947,
      0.022299703281940846,
      0.021902022924441527,
      0.02151003949931109,
      0.021123671405913928,
      0.020742838216539206,
      0.02036746053011051,
      0.019997460176419655,
      0.01963276011991998,
      0.019273284482546026,
      0.018918958373513994,
      0.018569707939687544,
      0.018225460445088916,
      0.017886144157752706,
      0.0175516884438936,
      0.017222023650331496,
      0.016897081104904885,
      0.016576793171951938,
      0.01626109320980823,
      0.01594991544946586,
      0.015643195150612223,
      0.01534086839207342,
      0.01504287223487152,
      0.014749144609047804,
      0.014459624299338633,
      0.01417425110596941,
      0.01389296558954393,
      0.013615709207032445,
      0.013342424260148075,
      0.013073053732794448,
      0.012807541646502902,
      0.012545832732589714,
      0.012287872444541319,
      0.012033607055732799,
      0.011782983626826778,
      0.011535950033491286,
      0.011292454882932184,
      0.011052447394874508,
      0.010815877685985346,
      0.010582696523122909,
      0.010352855429411263,
      0.01012630645568871,
      0.009903002393446507,
      0.009682897384083296,
      0.009465948380972275,
      0.009252112524575725,
      0.00904134672032517,
      0.008833607946716197,
      0.00862885341701958,
      0.00842704078057147,
      0.00822812808376282,
      0.008032073808905433,
      0.007838837016598325,
      0.007648377401518363,
      0.007460655115014882,
      0.007275630831558305,
      0.007093265804170899,
      0.006913521839693559,
      0.006736361314359427,
      0.006561747064068188,
      0.006389642537835438,
      0.00622001160952408,
      0.006052818728879364,
      0.0058880288201984396,
      0.005725607360808481,
      0.005565520341047403,
      0.00540773418167628,
      0.005252215901052732,
      0.005098932928522138,
      0.004947853014691771,
      0.004798944448308155,
      0.004652176122756801,
      0.004507517229305901,
      0.004364937607112233,
      0.004224407204778112,
      0.004085896598798985,
      0.003949376763345363,
      0.0038148190709252944,
      0.003682195326283668,
      0.0035514777001926473,
      0.0034226387667003716,
      0.0032956515353102433,
      0.003170489415007245,
      0.0030471262243270307,
      0.00292553613300076,
      0.002805693547922257,
      0.0026875734647655,
      0.002571151083098081,
      0.0024564019701746,
      0.0023433020601282316,
      0.002231827648699553,
      0.0021219554210608273,
      0.0020136624046725687,
      0.0019069258410248017,
      0.0018017233826937591,
      0.0016980329162549128,
      0.0015958327811523342,
      0.001495101493660605,
      0.0013958180122658156,
      0.0012979614898602325,
      0.001201511439929326,
      0.001106447643532675,
      0.0010127501396934198,
      0.0009203992807047536,
      0.000829375718636031,
      0.0007396604438986278,
      0.0006512345133980367,
      0.0005640793959181215,
      0.00047817699489950357,
      0.00039350924021729755,
      0.00031005836714461933,
      0.00022780693560630575,
      0.0001467376280728441,
      6.68335124765982e-05,
      -1.1922195991608778e-05,
      -8.954601651322648e-05,
      -0.00016605426085842718,
      -0.0002414628877083216,
      -0.00031578766701681016,
      -0.00038904422916369487,
      -0.0004612479037476904,
      -0.0005324138179738214,
      -0.0006025568731752386,
      -0.0006716917334825274,
      -0.0007398329914459498,
      -0.0008069948437741322,
      -0.0008731913696271997,
      -0.000938436522312811,
      -0.0010027438914236742,
      -0.0010661270360451678,
      -0.0011285991690224444,
      -0.001190173488922343,
      -0.0012508629009511773,
      -0.0013106800675051435,
      -0.0013696374962598235,
      -0.0014277474745798598,
      -0.0014850221751184576,
      -0.00154147369089112
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566848721680442,
      10.336900084126006,
      10.099192293353497,
      9.856736547335004,
      9.611975271192254,
      9.367021340277928,
      9.12371532034787,
      8.883580226419042,
      8.647818004159213,
      8.417340004205982,
      8.192770868000505,
      7.974465199339283,
      7.762535814847977,
      7.55689053301816,
      7.357273627179112,
      7.16330104626888,
      6.974499742159935,
      6.79035275223614,
      6.610331287179302,
      6.433920382785622,
      6.260633613218879,
      6.09002489977881,
      5.921707498959856,
      5.7553618048040125,
      5.590740246800685,
      5.42767236782192,
      5.266063288778583,
      5.105898296545017,
      4.947235736061187,
      4.790196033093951,
      4.634960464283592,
      4.481776425964964,
      4.330941231309157,
      4.1828084397633765,
      4.0377799752846215,
      3.8962654165669233,
      3.758664238399548,
      3.6253532368340564,
      3.49667782898919,
      3.3729430289958144,
      3.254402139562559,
      3.1412522577952227,
      3.0336327357475907,
      2.931621820218265,
      2.8352290690545483,
      2.7443982142675596,
      2.6590179932172697,
      2.5789320095041384,
      2.5039306926514624,
      2.433777101522722,
      2.3682230255031103,
      2.3069904858825017,
      2.2497693828404612,
      2.196227137221482,
      2.145986393391308,
      2.0986674911102865,
      2.053922335839429,
      2.011424586089199,
      1.970879849378148,
      1.9320355226516122,
      1.8946907794489678,
      1.8586876016818688,
      1.8238967720682715,
      1.7902059848010148,
      1.757522517415062,
      1.7257719425653109,
      1.6948930293668507,
      1.6648343037611086,
      1.635551593192075,
      1.6070062698181178,
      1.5791631626404907,
      1.5519879582483918,
      1.5254498106974415,
      1.4995212517219845,
      1.4741774365969067,
      1.449395607624847,
      1.4251547086241232,
      1.4014351052857439,
      1.3782184062126572,
      1.3554882205664265,
      1.3332300293427504,
      1.3114296306725637,
      1.2900730839359915,
      1.269146811737983,
      1.248637660135312,
      1.2285329309007333,
      1.2088203954255274,
      1.1894882954195183,
      1.1705253360556669,
      1.15192067382766,
      1.1336639361576266,
      1.1157459776222902,
      1.0981595772246184,
      1.0808986576385988,
      1.0639566451285865,
      1.0473264508433584,
      1.0310007375027286,
      1.0149720957853483,
      0.9992333755359439,
      0.9837790964714791,
      0.9686042123486918,
      0.9537031130277074,
      0.9390698920268031,
      0.9246985189901727,
      0.9105829533571315,
      0.8967172170617567,
      0.8830954406168731,
      0.8697118903739239,
      0.8565609846112857,
      0.8436373012924391,
      0.8309355814882405,
      0.8184507281657021,
      0.8061778041027564,
      0.7941120276945975,
      0.7822487682048527,
      0.7705835405852864,
      0.7591120005655547,
      0.7478299392867184,
      0.7367332775614289,
      0.7258180609813326,
      0.7150804552871048,
      0.7045167410035713,
      0.6941233093162537,
      0.6838966577036094,
      0.6738333856940993,
      0.6639301910381568,
      0.6541838654889712,
      0.6445912829997316,
      0.6351493515604314,
      0.625855055109978,
      0.6167054841212511,
      0.6076978236537599,
      0.5988293449703174,
      0.590097399042334,
      0.5814994108838193,
      0.5730328759212404,
      0.5646953559705976,
      0.5564844763608537,
      0.5483978612493772,
      0.5404327433271086,
      0.5325863236258445,
      0.524856070299503,
      0.517239647029755,
      0.5097348648207183,
      0.5023396487554752,
      0.49505201514736574,
      0.48787005533896527,
      0.4807919241512699,
      0.473815831917285,
      0.4669400387619923,
      0.4601628502327563,
      0.45348261387002936,
      0.44689771661552663,
      0.44040658288193185,
      0.434007672498476,
      0.4276994795532021,
      0.4214805307364634,
      0.41534938453801146,
      0.4093046300301474,
      0.40334488592799717,
      0.3974687993709566,
      0.3916750455222119,
      0.3859623973674084,
      0.3803299151152826,
      0.37477665221417633,
      0.3693016112777963,
      0.3639037498592951,
      0.35858198572628314,
      0.353335217275047,
      0.3481621865800594,
      0.34306150126190116,
      0.33803230123119693,
      0.33307398397397514,
      0.3281857914233418,
      0.32336702062812617,
      0.31861701279730775,
      0.31393498951572935,
      0.3093200915882515,
      0.3047714119732391,
      0.30028801716130565,
      0.29586896174912586,
      0.2915132983129428,
      0.28722010530494907,
      0.28298856699065056,
      0.2788178838597814,
      0.27470722515044743,
      0.2706557417880545,
      0.26666257748384065,
      0.2627268760312485,
      0.25884783973628145,
      0.2550249911579825,
      0.2512578930811627,
      0.24754597398862524,
      0.24388857692695382,
      0.2402849923785701,
      0.23673447990881202,
      0.2332362826273084,
      0.22978963708886874,
      0.22639377977924513,
      0.22304795122916582,
      0.21975139874042773,
      0.2165033783715834,
      0.21330311665264873,
      0.21014978254855837,
      0.20704258086722233,
      0.20398075818803907,
      0.20096359257014446,
      0.19799038693355778,
      0.1950604642063761,
      0.1921731642206971,
      0.18932784149405033,
      0.1865238635577638,
      0.18376060991592588,
      0.1810374713268002,
      0.1783538489838605,
      0.1757091542951555,
      0.17310280841985268,
      0.17053424188593957,
      0.1680028942565077,
      0.16550821409181302,
      0.1630496587428392,
      0.1606266941356699,
      0.15823879460977025,
      0.15588544281650427,
      0.15356612935321473,
      0.15128035267934414,
      0.14902761919986815,
      0.14680744286838332,
      0.14461934520518563,
      0.1424628550121848,
      0.14033750839454265,
      0.13824284868231324,
      0.13617842608698147,
      0.13414379775951768,
      0.1321385274805279,
      0.13016218578392025,
      0.12821434974414797,
      0.1262946028280329,
      0.12440253486779217,
      0.12253774186247744,
      0.1206998259005565,
      0.11888839510747189,
      0.11710306358061572,
      0.11534345105018405,
      0.11360918310520826,
      0.11189989096747249,
      0.11021521129638984,
      0.10855478629126239,
      0.10691826341712739,
      0.1053052954277739,
      0.1037155403172082,
      0.10214866105284016,
      0.10060432570717562,
      0.09908220721179155,
      0.09758198337596923,
      0.0961033369218124,
      0.09464595520502538,
      0.09320953016795032,
      0.0917937583336382,
      0.09039834073290365,
      0.08902298280248952,
      0.0876673943046116,
      0.08633128929362677,
      0.08501438602747499,
      0.08371640691927844,
      0.08243707850041063,
      0.08117613124223186,
      0.07993329963650458,
      0.07870832209946627,
      0.07750094080678596,
      0.07631090166323937,
      0.07513795449523211,
      0.07398185257048505,
      0.07284235287141615,
      0.07171921596483946,
      0.0706122058468274,
      0.0695210900954703,
      0.06844563952782577,
      0.06738562840025045,
      0.06634083421977004,
      0.06531103770142067,
      0.06429602281674839,
      0.06329557666970646,
      0.062309489451014506,
      0.06133755440052098,
      0.06037956775871971,
      0.05943532865603589,
      0.05850463920073051,
      0.0575873045043865,
      0.05668313236572543,
      0.05579193343518138,
      0.05491352114824587,
      0.05404771153253753,
      0.05319432327901629,
      0.05235317764180649,
      0.051524098608421956,
      0.050706912756007,
      0.04990144909493767,
      0.0491075391155247,
      0.04832501675197534,
      0.04755371839692169,
      0.046793482766119346,
      0.04604415078776912,
      0.045305565818579294,
      0.044577573512432654,
      0.043860021647186616,
      0.04315276014378351,
      0.04245564126868323,
      0.0417685193583301,
      0.04109125081259991,
      0.04042369410855215,
      0.03976570986692307,
      0.039117160611494825,
      0.038477910854326856,
      0.037847827026043834,
      0.03722677750908693,
      0.03661463279597746,
      0.03601126494954525,
      0.035416547819973096,
      0.034830357363989664,
      0.03425257124063771,
      0.03368306880488838,
      0.033121731142656624,
      0.0325684410807264,
      0.03202308316844024,
      0.031485543592639276,
      0.03095571006759876,
      0.030433472080204395,
      0.029918720703304473,
      0.029411348507354787,
      0.028911249598754855,
      0.02841831968965142,
      0.02793245586205232,
      0.027453556725340982,
      0.026981522420794546,
      0.026516254492073663,
      0.026057655748102898,
      0.02560563069119242,
      0.025160084958808795,
      0.024720925654396538,
      0.024288061162052732,
      0.023861401239803612,
      0.023440856857213622,
      0.023026340375114304,
      0.022617765336062034,
      0.022215046514149427,
      0.0218180998929996,
      0.021426842712234714,
      0.02104119345523223,
      0.020661071580695325,
      0.020286397888038446,
      0.019917094347103766,
      0.01955308399618472,
      0.01919429080598932,
      0.018840639922592023,
      0.01849205769851856,
      0.018148471480649686,
      0.01780980964995668,
      0.017476001658995915,
      0.017146977787252403,
      0.016822669491523022,
      0.01650300914334932,
      0.016187930120279217,
      0.01587736685032794,
      0.015571254522950571,
      0.015269529369566593,
      0.014972128438780187,
      0.014678989686924842,
      0.01439005205908848,
      0.014105255415390146,
      0.013824540352229572,
      0.013547848402145428,
      0.0132751217915785,
      0.013006303748860727,
      0.012741338256029407,
      0.012480170102881686,
      0.012222744848370862,
      0.011969008734451513,
      0.01171890884415051,
      0.011472393250267257,
      0.011229410569951385,
      0.010989910138512304,
      0.010753842071414487,
      0.010521157068763687,
      0.010291806711603383,
      0.010065743182948981,
      0.00984291932198847,
      0.009623288846032214,
      0.009406807956206506,
      0.009193434281738631,
      0.008983125085287896,
      0.008775837553532683,
      0.0085715290678702,
      0.008370157336265133,
      0.00817168064712173,
      0.007976057597386432,
      0.007783247299137253,
      0.007593209409892499,
      0.007405904184323274,
      0.0072212923117715945,
      0.007039335111975076,
      0.006859994535882597,
      0.006683232933646273,
      0.006509013256877517,
      0.006337298919395054,
      0.006168053851022557,
      0.006001242597570214,
      0.005836830194514018,
      0.005674782188918144,
      0.005515064516837428,
      0.005357643611296822,
      0.005202486378752655,
      0.005049560285480707,
      0.004898833363422496,
      0.004750274002133863,
      0.004603850977285636,
      0.004459533588923319,
      0.00431729152182888,
      0.004177094911199436,
      0.004038914339810936,
      0.0039027208433179902,
      0.003768485860342488,
      0.003636181215671794,
      0.003505779073365377,
      0.0033772521009649,
      0.003250573317684031,
      0.003125716185596029,
      0.003002654607386561,
      0.0028813626714731594,
      0.002761814880872235,
      0.002643986230842763,
      0.0025278519901196675,
      0.002413387826592161,
      0.002300569654425115,
      0.002189373883059844,
      0.0020797771528829534,
      0.001971756440725829,
      0.0018652890647507115,
      0.0017603526211477246,
      0.0016569250867393998,
      0.0015549848471987356,
      0.0014545105229760756,
      0.0013554811018407545,
      0.0012578757927222746,
      0.0011616740330342508,
      0.0010668557262154747,
      0.0009734009462954752,
      0.0008812900570539494,
      0.0007905037175745628,
      0.0007010228381761275,
      0.0006128287152905492,
      0.0005259028372740518,
      0.00044022694529502585,
      0.00035578303152328564,
      0.0002725533830567403,
      0.0001905206523264882,
      0.00010966748985046133,
      2.9976940738391983e-05,
      -4.8567628460068096e-05,
      -0.00012598265854970827,
      -0.00020228441129349002,
      -0.00027748900793837274,
      -0.0003516120662514269,
      -0.0004246691944128378,
      -0.0004966756831962264,
      -0.0005676467762416528,
      -0.000637597354189533,
      -0.0007065419616113686,
      -0.0007744951248108676,
      -0.0008414711734993349,
      -0.0009074841061523845,
      -0.0009725477277942765,
      -0.0010366757104522883,
      -0.0010998815450684912,
      -0.0011621784735940852,
      -0.0012235795409987107,
      -0.0012840976210731943,
      -0.001343745505165756,
      -0.0014025356214267186,
      -0.0014604802683439368,
      -0.001517591688268098,
      -0.0015738819247200697
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566845599121848,
      10.336884572788971,
      10.099156707352712,
      9.856675449169156,
      9.611884609932394,
      9.366898068803616,
      9.123557623434777,
      8.883387600779653,
      8.647590644003715,
      8.417078408418496,
      8.19247569481275,
      7.974137129999585,
      7.762175466795499,
      7.5564983908903685,
      7.35685002589347,
      7.162845973502888,
      6.9740130241881335,
      6.789834203488682,
      6.60978075006662,
      6.433337782097544,
      6.260019222556201,
      6.089379218758631,
      5.9210311971408425,
      5.754655825257978,
      5.590005829556273,
      5.426911061486518,
      5.265276991411432,
      5.105089298312404,
      4.946406646452339,
      4.7893496719055335,
      4.634100042460224,
      4.4809055426532325,
      4.330063796118485,
      4.181929160220977,
      4.036903841951244,
      3.8953973122348424,
      3.757808831283792,
      3.6245148956959734,
      3.4958606942409207,
      3.3721508380377005,
      3.2536380980428268,
      3.140519012735912,
      3.0329323669396997,
      2.9309556787388185,
      2.83459767898239,
      2.7438012951074224,
      2.658454774638731,
      2.578401092721825,
      2.5034298838131983,
      2.4333041448501804,
      2.3677754964374085,
      2.306565769271197,
      2.2493646332844666,
      2.1958391477796324,
      2.145611587018076,
      2.098302693026242,
      2.05356464196747,
      2.011071289822014,
      1.9705287246657592,
      1.9316848325162779,
      1.8943392541822575,
      1.8583343078416563,
      1.823541003701496,
      1.7898472118498145,
      1.757160367893167,
      1.725406174382744,
      1.6945234942562577,
      1.664460920333944,
      1.6351743273056367,
      1.6066251212769376,
      1.5787781764154247,
      1.5515991981755721,
      1.525057344954919,
      1.4991251505975478,
      1.4737777714598743,
      1.4489924505923681,
      1.4247481325647493,
      1.4010251831413336,
      1.37780522097889,
      1.3550718966238768,
      1.3328106848511423,
      1.3110073675908855,
      1.2896479926065514,
      1.268718973907598,
      1.2482071518868156,
      1.228099824271862,
      1.2083847590194137,
      1.1890501952768133,
      1.1700848361257432,
      1.151477836597184,
      1.1332188372708867,
      1.1152987261807497,
      1.0977104226368022,
      1.080447850399988,
      1.063504370767225,
      1.0468728508618497,
      1.0305459234899699,
      1.014516158139705,
      0.9987765146274703,
      0.9833216775665021,
      0.9681464896102353,
      0.9532452668149236,
      0.9386120526491575,
      0.9242407835397047,
      0.9101253966644488,
      0.8962598988813639,
      0.8826384103268751,
      0.8692551904710517,
      0.8561046528038156,
      0.8431813720615519,
      0.830480087069376,
      0.8179956994614687,
      0.8057232706645963,
      0.7936580185027324,
      0.781795311621358,
      0.7701306644973349,
      0.758659732516275,
      0.7473783061359217,
      0.7362823058710757,
      0.725367777161157,
      0.714630885117979,
      0.7040679102435587,
      0.6936752436091772,
      0.6834493824270745,
      0.6733869257465753,
      0.6634845708182578,
      0.6537391090422117,
      0.6441474130878855,
      0.6347063887417017,
      0.625413020646924,
      0.6162643996251069,
      0.6072577108746249,
      0.5983902254526443,
      0.589659294051861,
      0.5810623416820502,
      0.5725968632441969,
      0.5642604202617137,
      0.5560506377162611,
      0.5479651655240986,
      0.5400012730347045,
      0.5321561398500251,
      0.5244272196274035,
      0.5168121662879575,
      0.5093087840938899,
      0.5019149937154459,
      0.49462880791113095,
      0.4874483155890854,
      0.48037166983585744,
      0.4733970797599102,
      0.46652280463532175,
      0.45974714921880394,
      0.4530684603632855,
      0.4464851245461844,
      0.4399955654491353,
      0.4335982425073487,
      0.42729164933849506,
      0.42107431236006077,
      0.414944789701142,
      0.40890166998033545,
      0.4029435713857514,
      0.397069140730223,
      0.3912770528169379,
      0.38556615027107993,
      0.3799355107147143,
      0.3743841631806986,
      0.36891109610405914,
      0.3635152481252309,
      0.358195524364666,
      0.3529508148021059,
      0.34777984720438726,
      0.34268128122168373,
      0.337654336716851,
      0.33269836387762913,
      0.327812580295842,
      0.32299628886489645,
      0.31824881164648977,
      0.31356935013317905,
      0.30895703168052524,
      0.3044109398438898,
      0.2999301350709151,
      0.2955136680416971,
      0.29116058844357223,
      0.2868699819214661,
      0.2826410422243735,
      0.27847296263518084,
      0.27436490689138,
      0.27031602220079154,
      0.2663254497002693,
      0.2623923314605468,
      0.25851588233540795,
      0.2546956432675598,
      0.25093116483750544,
      0.2472218673397635,
      0.24356708853089948,
      0.23996611507991056,
      0.2364182040466871,
      0.23292259693774658,
      0.2294785290013303,
      0.22608523585919515,
      0.22274195746291037,
      0.21944794089265582,
      0.21620244186975696,
      0.2130046799170572,
      0.20985382341079098,
      0.2067490796493264,
      0.20368969672083145,
      0.20067495381364225,
      0.1977041545875367,
      0.1947766226028081,
      0.19189169800084502,
      0.18904873557833599,
      0.1862471031410352,
      0.18348618017013696,
      0.18076535739513183,
      0.17808403616481255,
      0.17544162784422618,
      0.17283755355402877,
      0.17027124375543465,
      0.16774213818875366,
      0.16524968537712198,
      0.16279334275027038,
      0.16037257618654283,
      0.15798686003503543,
      0.1556356767393986,
      0.15331851704968405,
      0.1510348795119706,
      0.14878427046911863,
      0.14656620388534958,
      0.1443802012620723,
      0.1422257915241612,
      0.14010251071044014,
      0.13800990206009542,
      0.13594751588460466,
      0.13391490930105598,
      0.13191164622108772,
      0.12993729721336125,
      0.1279914392718605,
      0.12607365593390488,
      0.12418353708756401,
      0.12232067878589686,
      0.12048468317545233,
      0.11867515838673279,
      0.11689171841128979,
      0.11513398319461715,
      0.11340157824550773,
      0.1116941348548018,
      0.11001128970287304,
      0.10835268500624819,
      0.10671796828786234,
      0.10510679237446342,
      0.10351881531627126,
      0.10195370015210978,
      0.10041111488837043,
      0.09889073264683891,
      0.09739223132132617,
      0.09591529358743407,
      0.0944596068455648,
      0.09302486312945824,
      0.09161075895406613,
      0.09021699540147975,
      0.08884327798081912,
      0.0874893164653935,
      0.08615482499902108,
      0.08483952187402777,
      0.08354312955305462,
      0.08226537463829121,
      0.0810059877444228,
      0.0797647033503668,
      0.07854125997342816,
      0.07733539980744733,
      0.07614686890874162,
      0.07497541704223296,
      0.07382079764629605,
      0.07268276779482116,
      0.07156108801638043,
      0.07045552248220766,
      0.0693658387396984,
      0.06829180768756611,
      0.0672332036264135,
      0.06618980417877963,
      0.06516139016063664,
      0.06414774554131296,
      0.06314865743373634,
      0.06216391615048099,
      0.061193315014062284,
      0.06023665038166545,
      0.05929372157950075,
      0.058364330701804266,
      0.057448282808056236,
      0.05654538596284501,
      0.055655450761975235,
      0.0547782905296384,
      0.05391372144295777,
      0.05306156234620345,
      0.05222163464471768,
      0.05139376243448273,
      0.05057777230771038,
      0.049773493329977755,
      0.04898075709051892,
      0.048199397577352705,
      0.04742925111556317,
      0.04667015652123635,
      0.045921954991194024,
      0.04518448986188155,
      0.044457606843893806,
      0.04374115377239176,
      0.043034980715774426,
      0.04233893997491883,
      0.041652885915865696,
      0.04097667502692115,
      0.04031016591381814,
      0.03965321909925025,
      0.03900569721807142,
      0.038367464965758304,
      0.03773838885777079,
      0.037118337387100124,
      0.03650718091886031,
      0.03590479173553498,
      0.03531104387920098,
      0.034725813188713955,
      0.03414897741637846,
      0.03358041609155238,
      0.03302001038773913,
      0.0324676431489066,
      0.03192319895694177,
      0.03138656400550552,
      0.03085762614246452,
      0.030336274918378182,
      0.029822401559227524,
      0.029315898710116788,
      0.028816660512037375,
      0.028324582652590812,
      0.027839562339967597,
      0.027361498276558486,
      0.026890290631965227,
      0.026425840926180295,
      0.025968052318850715,
      0.0255168291987868,
      0.02507207735075117,
      0.02463370393036413,
      0.024201617342638492,
      0.023775727379938952,
      0.023355945155146017,
      0.022942183078308566,
      0.022534354711042755,
      0.022132374905271295,
      0.02173615974346951,
      0.021345626582299982,
      0.020960693873721434,
      0.020581281227510552,
      0.020207309419176218,
      0.019838700410492682,
      0.019475377279242156,
      0.019117264217048367,
      0.018764286486699533,
      0.018416370485769155,
      0.01807344350890318,
      0.017735434061288247,
      0.01740227156557333,
      0.0170738865243987,
      0.0167502103560493,
      0.01643117555818388,
      0.016116715602576406,
      0.015806764795134008,
      0.015501258406313712,
      0.015200132748469689,
      0.014903324932325242,
      0.014610773186617345,
      0.014322416380570357,
      0.014038194325086281,
      0.013758047816503397,
      0.013481918315418787,
      0.013209748289731869,
      0.012941480919036004,
      0.01267706023448298,
      0.0124164309499405,
      0.012159538766991553,
      0.011906330162114313,
      0.011656752259236824,
      0.011410753023207047,
      0.011168281125599349,
      0.010929285941497016,
      0.010693717605283133,
      0.01046152689531964,
      0.010232665500669234,
      0.010007085621285385,
      0.00978474024520363,
      0.009565582932203163,
      0.009349569024269333,
      0.0091366561897679,
      0.008926802132451764,
      0.008719964381329246,
      0.008516100416474416,
      0.008315168227619296,
      0.008117126072588044,
      0.007921932714633007,
      0.007729547330285836,
      0.007539929673665974,
      0.007353040109506349,
      0.007168839412988977,
      0.006987288940164478,
      0.006808350552919374,
      0.006631986704392664,
      0.006458160259833017,
      0.006286834777200155,
      0.006117974325940402,
      0.005951543441421107,
      0.0057875071765063945,
      0.005625830996257543,
      0.005466480960421933,
      0.00530942363474859,
      0.005154626067992886,
      0.005002055738873997,
      0.004851680619325333,
      0.004703468972234302,
      0.004557389786876734,
      0.004413412402718455,
      0.004271506522538239,
      0.0041316423353909325,
      0.003993790418635596,
      0.003857921832344036,
      0.0037240081073864084,
      0.003592021133827705,
      0.0034619332604329985,
      0.0033337171162566848,
      0.0032073456812154563,
      0.003082792396311261,
      0.002960031148500275,
      0.002839036116812894,
      0.0027197819324524856,
      0.0026022435156331505,
      0.0024863962440490827,
      0.002372215760687482,
      0.0022596781202150577,
      0.002148759688418911,
      0.0020394370939990965,
      0.0019316873467022906,
      0.0018254878617265952,
      0.0017208163199728319,
      0.0016176508477330237,
      0.0015159697334976455,
      0.001415751540071226,
      0.001316975223926382,
      0.0012196200842624616,
      0.0011236656375000979,
      0.001029091790975694,
      0.0009358786625538304,
      0.0008440066296627256,
      0.0007534564049187542,
      0.0006642089668654693,
      0.0005762455933753124,
      0.0004895477626721265,
      0.00040409730971296195,
      0.0003198763102400047,
      0.00023686709321076537,
      0.0001550521268115364,
      7.441426147163625e-05,
      -5.063414113372353e-06,
      -8.339758814066128e-05,
      -0.00016060468963687458,
      -0.0002367008956079332,
      -0.00031170224547628423,
      -0.00038562445583370384,
      -0.00045848314154991245,
      -0.0005302935331318792,
      -0.0006010707849071937,
      -0.0006708297544307617,
      -0.0007395850418783067,
      -0.0008073510791236114,
      -0.0008741421354827524,
      -0.0009399722019530974,
      -0.001004855084423882,
      -0.0010688044449440478,
      -0.001131833779359105,
      -0.0011939563046119686,
      -0.00125518499802175,
      -0.0013155327245628562,
      -0.0013750121282763402,
      -0.0014336357520037491,
      -0.001491415902057065,
      -0.0015483647474848993,
      -0.0016044942406183667
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566842491923769,
      10.336869134248769,
      10.099121285322342,
      9.856614629513807,
      9.611794358570304,
      9.366775352310642,
      9.123400636128824,
      8.883195849286999,
      8.647364328853019,
      8.416818033265026,
      8.192181921391446,
      7.97381064324085,
      7.7618168885214995,
      7.556108207061278,
      7.356428573400012,
      7.16239324102018,
      6.9735288394594335,
      6.789318381754785,
      6.609233134536511,
      6.432758301308299,
      6.259408153622536,
      6.088737065282338,
      5.920358631761485,
      5.753953792434853,
      5.589275569391501,
      5.426154123417512,
      5.264495272714011,
      5.10428508590044,
      4.945582542486527,
      4.788508487730971,
      4.633244979812905,
      4.4800401887721835,
      4.32919205453776,
      4.1810557241639055,
      4.036033671831048,
      3.89453525863354,
      3.7569595314837643,
      3.623682688483307,
      3.4950496902600356,
      3.371364746053433,
      3.252880096936322,
      3.139791724946837,
      3.0322378503400342,
      2.9302952656214147,
      2.833971872988711,
      2.743209803454777,
      2.657896824839296,
      2.5778752865940473,
      2.5029340313247497,
      2.432835994338358,
      2.3673326286430965,
      2.3061455767469536,
      2.2489642792475575,
      2.1954554347383826,
      2.145240948690269,
      2.0979419290604704,
      2.053210825758076,
      2.0107217402299513,
      1.9701812412261779,
      1.9313376984632198,
      1.8939912151548404,
      1.8579844420691405,
      1.8231886151384942,
      1.7894917796637595,
      1.756801526981932,
      1.7250436883436515,
      1.6941572186301015,
      1.6640907761521404,
      1.6348002826119379,
      1.606247177611663,
      1.5783963778856942,
      1.5512136107882697,
      1.5246680378096353,
      1.4987321954240462,
      1.473381241529067,
      1.448592419966761,
      1.424344675483295,
      1.4006183733334103,
      1.3773951417899588,
      1.3546586724913943,
      1.3323944347595198,
      1.3105881939660842,
      1.2892259860459971,
      1.2682942173651588,
      1.247779722072235,
      1.2276697934169258,
      1.2079521959914026,
      1.188615166495809,
      1.1696474057760857,
      1.1510380675053464,
      1.132776805062625,
      1.1148546043242165,
      1.097264491391749,
      1.0800003273264585,
      1.063055419549363,
      1.0464225980898454,
      1.0300944704533839,
      1.0140635889174772,
      0.9983230249448436,
      0.9828676289427443,
      0.9676921337039007,
      0.9527907826629275,
      0.9381575703623707,
      0.9237864000618028,
      0.9096711866211649,
      0.8958059217100952,
      0.8821847154291864,
      0.8688018203976671,
      0.8556516454456028,
      0.8427287623595997,
      0.8300279078408928,
      0.8175439814960636,
      0.80527204407556,
      0.7932073123350881,
      0.7813451543611095,
      0.76968108436425,
      0.758210756930568,
      0.7469299621896359,
      0.7358346204061205,
      0.7249207765305105,
      0.7141845955971936,
      0.7036223577954677,
      0.6932304537652223,
      0.6830053802849606,
      0.672943736236517,
      0.6630422187311387,
      0.6532976185648546,
      0.6437068070480064,
      0.6342666881952855,
      0.6249742470475863,
      0.615826574619527,
      0.6068208561923722,
      0.597954362788508,
      0.5892244449147609,
      0.5806285271092428,
      0.5721641042184091,
      0.5638287373835663,
      0.5556200511480096,
      0.547535721170644,
      0.5395730537730304,
      0.531729207261895,
      0.5240016207297638,
      0.51638793809085,
      0.5088859569234208,
      0.5014935929569059,
      0.4942088556793242,
      0.487029831567294,
      0.4799546721268883,
      0.47298158526844947,
      0.46610882921188623,
      0.4593347078203319,
      0.4526575673838531,
      0.44607579378459705,
      0.4395878102988054,
      0.43319207585997793,
      0.42688708358338895,
      0.42067135952986834,
      0.4145434614086196,
      0.4085019774513423,
      0.40254552530814736,
      0.39667275165712,
      0.39088233090393565,
      0.385173183191537,
      0.3795443922943717,
      0.3739949680275687,
      0.36852387956551547,
      0.3631300478304854,
      0.35781236589572674,
      0.3525697155626115,
      0.347400811236474,
      0.3423043645874291,
      0.337279674986969,
      0.3323260453995093,
      0.32744267802400223,
      0.3226288769088998,
      0.3178839364230844,
      0.313207039667401,
      0.30859730158769494,
      0.30405379740564437,
      0.29957558177673904,
      0.29516170135562547,
      0.2908112032477195,
      0.28652318624606715,
      0.2822968458498392,
      0.2781313690622801,
      0.27402591456899217,
      0.2699796261772872,
      0.2659916427001873,
      0.2620611045816096,
      0.25818723930430953,
      0.25436960627478755,
      0.2506077438973896,
      0.24690106442033388,
      0.24324890004411268,
      0.23965053382795917,
      0.23610522024938965,
      0.23261219908307296,
      0.22917070452225607,
      0.22577997141043582,
      0.22243923915500702,
      0.21914775433138087,
      0.21590477242117156,
      0.2127095060751278,
      0.20956112302499846,
      0.2064588329783016,
      0.20340188585696428,
      0.2003895619604672,
      0.1974211656841561,
      0.19449602096216617,
      0.19161346836821216,
      0.188772862846785,
      0.18597357237187828,
      0.1832149765746498,
      0.18049646627772117,
      0.177817442789228,
      0.17517731748973173,
      0.17257551143047284,
      0.17001145513995725,
      0.16748458837742217,
      0.16499435965506792,
      0.16254022635443974,
      0.16012165438851184,
      0.1577381181213482,
      0.15538910001683845,
      0.1530740907162351,
      0.1507925888576038,
      0.14854410079004837,
      0.1463281404548681,
      0.14414422940897964,
      0.14199189653898875,
      0.13987067799279623,
      0.13778011699868084,
      0.13571976386391957,
      0.13368917571402544,
      0.1316879165066984,
      0.12971555684951963,
      0.12777167378674864,
      0.12585585080946737,
      0.12396767778296401,
      0.12210675083683756,
      0.12027267219818565,
      0.11846504998636967,
      0.11668349827432456,
      0.11492763696512198,
      0.1131970916554729,
      0.11149149366330036,
      0.10981047973077766,
      0.10815369204982506,
      0.10652077823567947,
      0.10491139117171268,
      0.1033251889163461,
      0.10176183451874649,
      0.1002209961629165,
      0.09870234695372057,
      0.09720556478919924,
      0.09573033239572194,
      0.09427633728378675,
      0.09284327147841823,
      0.09143083162784323,
      0.09003871884797528,
      0.08866663869677621,
      0.08731430102403408,
      0.0859814200271514,
      0.08466771393686648,
      0.0833729053756901,
      0.08209672096835192,
      0.08083889140532119,
      0.07959915131409584,
      0.0783772391504668,
      0.07717289725327128,
      0.07598587162636296,
      0.07481591215388453,
      0.07366277232983455,
      0.07252620925190496,
      0.07140598366358492,
      0.07030185975463969,
      0.06921360504118683,
      0.06814099055019651,
      0.06708379075281483,
      0.066041783230731,
      0.06501474877002728,
      0.06400247160081321,
      0.06300473894303472,
      0.06202134103435886,
      0.06105207124849954,
      0.060096726056564985,
      0.0591551046913599,
      0.058227009464489075,
      0.05731224558583615,
      0.056410620949428926,
      0.055521946403155345,
      0.05464603546660485,
      0.05378270433233226,
      0.052931771854875215,
      0.052093059578350406,
      0.05126639158023126,
      0.05045159448045309,
      0.049648497380337275,
      0.048856932065728914,
      0.048076732577430094,
      0.04730773539464,
      0.0465497793827649,
      0.0458027056863637,
      0.04506635778998633,
      0.044340581413050494,
      0.043625224520918444,
      0.042920137281379805,
      0.04222517203239513,
      0.041540183156474904,
      0.04086502737945646,
      0.040199563302134284,
      0.03954365156881935,
      0.03889715479548972,
      0.03825993780478998,
      0.03763186713761339,
      0.03701281138243214,
      0.03640264092417556,
      0.03580122810689369,
      0.035208447140165876,
      0.03462417399653823,
      0.03404828641457458,
      0.03348066386401216,
      0.03292118759085234,
      0.03236974063418372,
      0.03182620771958213,
      0.03129047508891833,
      0.030762430682948438,
      0.030241964094963103,
      0.02972896646065657,
      0.029223330567290335,
      0.028724950657487203,
      0.028233722620342707,
      0.027749543673536155,
      0.027272312585229493,
      0.026801929519695226,
      0.026338296168959257,
      0.02588131563540913,
      0.025430892428157263,
      0.024986932356931602,
      0.024549342576890166,
      0.024118031708988796,
      0.023692909628760687,
      0.023273887476209683,
      0.022860877740786465,
      0.02245379400778662,
      0.022052551154558925,
      0.021657065399015157,
      0.021267254114673808,
      0.020883035826837558,
      0.02050433026887668,
      0.02013105841310241,
      0.01976314216758934,
      0.019400504630130384,
      0.019043070047809862,
      0.018690763800189202,
      0.018343512265985296,
      0.018001242795607664,
      0.017663883948012923,
      0.017331365287144768,
      0.017003617328627017,
      0.016680571610862168,
      0.016362160585874985,
      0.01604831773638306,
      0.015738977512061006,
      0.015434075339877682,
      0.015133547568143111,
      0.014837331395189985,
      0.014545364985740225,
      0.014257587387511914,
      0.013973938394001432,
      0.01369435880467881,
      0.013418790218238037,
      0.01314717510268986,
      0.012879456652312583,
      0.012615579042104466,
      0.012355487189779822,
      0.012099126609543197,
      0.011846443834874302,
      0.011597386074868002,
      0.011351901395550205,
      0.01110993844589769,
      0.010871446752041743,
      0.010636376557386756,
      0.0104046787760393,
      0.010176304976838309,
      0.00995120737790242,
      0.009729339028224203,
      0.009510653591338986,
      0.009295105704311158,
      0.009082652650975359,
      0.008873252527453905,
      0.00866686314950795,
      0.008463442427637828,
      0.008262948500910873,
      0.008065339623549396,
      0.00787057467554463,
      0.007678612924701886,
      0.007489414255005468,
      0.007302938983616926,
      0.007119147985315373,
      0.006938002627736802,
      0.006759464817066417,
      0.006583497154040869,
      0.006410062634188118,
      0.006239124884482635,
      0.006070647874302067,
      0.0059045960793472855,
      0.005740934609356393,
      0.0055796291537760934,
      0.005420645790081451,
      0.005263950984020446,
      0.005109511820686447,
      0.004957295926201139,
      0.00480727120070942,
      0.004659406150410325,
      0.004513669674840223,
      0.004370031129361619,
      0.004228460332004646,
      0.004088927508628128,
      0.0039514032778685156,
      0.003815858707615086,
      0.003682265398562009,
      0.0035505951945640443,
      0.0034208204220966465,
      0.0032929138515984144,
      0.00316684859696652,
      0.0030425980353417184,
      0.002920136090946933,
      0.0027994370308425842,
      0.0026804755351578662,
      0.002563226496242235,
      0.002447665276547555,
      0.0023337674716120554,
      0.0022215092534611813,
      0.0021108670735015384,
      0.002001817614416514,
      0.0018943380295371403,
      0.001788405649575724,
      0.001683998256334657,
      0.0015810938235848574,
      0.00147967067237415,
      0.0013797075448696466,
      0.0012811834511227826,
      0.001184077599254384,
      0.0010883696636894804,
      0.0009940394763726225,
      0.0009010671512289908,
      0.0008094331841361847,
      0.0007191182617748099,
      0.0006301034404559528,
      0.0005423700271070732,
      0.000455899626788291,
      0.00037067396862582616,
      0.0002866751139724227,
      0.00020388545596112894,
      0.00012228756781510906,
      4.186428070430716e-05,
      -3.7401250196946064e-05,
      -0.00011552568175223088,
      -0.0001925254973167977,
      -0.0002684169123982758,
      -0.0003432158240289548,
      -0.00041693798746827743,
      -0.0004895988809671828,
      -0.0005612137727523395,
      -0.000631797812939681,
      -0.0007013657047729621,
      -0.0007699321698269845,
      -0.0008375116236577311,
      -0.0009041182582987761,
      -0.0009697660914379019,
      -0.0010344688813243266,
      -0.0010982402381976518,
      -0.0011610935887559674,
      -0.0012230420696555792,
      -0.001284098757348781,
      -0.001344276598465957,
      -0.001403588231638465,
      -0.0014620460626483312,
      -0.0015196623893766906,
      -0.0015764493229011572,
      -0.0016324188032898028
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566839401815534,
      10.336853775929397,
      10.099086046158998,
      9.85655412396894,
      9.611704572023799,
      9.366653267237,
      9.123244460932249,
      8.88300509995185,
      8.647139214899468,
      8.416559063857292,
      8.191889762761328,
      7.973485982968128,
      7.761460349375379,
      7.555720276254268,
      7.356009589637353,
      7.161943194787801,
      6.9730475570793615,
      6.788805679996025,
      6.60868885932291,
      6.432182397852078,
      6.25880091416265,
      6.088098993440143,
      5.919690399429394,
      5.753256344070034,
      5.588550144559484,
      5.425402269316374,
      5.263718883161438,
      5.103486441328551,
      4.944764237172854,
      4.7876733240313545,
      4.632396148211813,
      4.479181261729394,
      4.328326979200761,
      4.180189214706901,
      4.0351706435937515,
      3.8936805183956484,
      3.756117672679661,
      3.6228580069718035,
      3.4942462538168733,
      3.3705862228932983,
      3.2521296277560023,
      3.1390718982281895,
      3.0315506938020045,
      2.9296420845118454,
      2.8333531495894855,
      2.742625232043038,
      2.6573456241192095,
      2.5773560524412225,
      2.502444572191595,
      2.432374059644453,
      2.3668958027405704,
      2.3057312582757628,
      2.2485696385142893,
      2.1950772835944385,
      2.144875733533456,
      2.0975864393822,
      2.0528621082319796,
      2.010377125501092,
      1.9698385562842102,
      1.9309952497829523,
      1.8936477656322503,
      1.8576390837786063,
      1.8228406633252436,
      1.7891407233775458,
      1.7564470085620436,
      1.724685477065478,
      1.6937951748862345,
      1.6637248253804866,
      1.6344303971501588,
      1.6058733623464896,
      1.5780186717257159,
      1.5508320847984693,
      1.5242827652482438,
      1.4983432502470608,
      1.4729886987109013,
      1.448196355296425,
      1.423945164173463,
      1.4002154902376431,
      1.3769889720249546,
      1.3542493419869523,
      1.3319820630930723,
      1.3101728842133018,
      1.2888078299081065,
      1.2678732981746115,
      1.2473561170990781,
      1.2272435755750652,
      1.2075234351979234,
      1.188183929970629,
      1.1692137590602711,
      1.1506020741625669,
      1.1323385412881477,
      1.1144142440829776,
      1.096822314598589,
      1.0795565514165828,
      1.0626102080913686,
      1.0459760781723118,
      1.029646743811186,
      1.0136147400162765,
      0.9978733249952949,
      0.9824174123941849,
      0.9672416348601192,
      0.9523401689505215,
      0.937706964064637,
      0.9233358929364677,
      0.9092208498686544,
      0.8953558130390532,
      0.8817348830803567,
      0.8683523063723749,
      0.8552024874356497,
      0.8422799950451347,
      0.829579563609179,
      0.8170960917532151,
      0.8048246389158815,
      0.7927604211620414,
      0.7808988057828123,
      0.7692353064827526,
      0.757765577694702,
      0.7464854092279096,
      0.7353907207464448,
      0.7244775570707479,
      0.7137420830056207,
      0.7031805784008608,
      0.6927894334614064,
      0.682565144755097,
      0.6725043107862985,
      0.6626036279078836,
      0.6528598868341846,
      0.6432699572989221,
      0.633830741579549,
      0.6245392252483518,
      0.6153924995179532,
      0.606387749705142,
      0.5975222467738783,
      0.5887933408926748,
      0.5801984567106646,
      0.5717350885084971,
      0.5634007970664626,
      0.5551932066110238,
      0.5471100021337271,
      0.5391485355600514,
      0.5313059600912944,
      0.523579697596508,
      0.5159673802071677,
      0.50846679725801,
      0.5010758589011765,
      0.49379257064605797,
      0.4866150162912704,
      0.47954134536516846,
      0.472569764183628,
      0.46569852979542575,
      0.45892594535774267,
      0.45225035640344086,
      0.4456701481261419,
      0.4391837434294987,
      0.43278960080294093,
      0.42648621281437543,
      0.4202721049442343,
      0.4141458345363766,
      0.4081059895137325,
      0.402151187320625,
      0.39628007422184397,
      0.390491356218471,
      0.3847840140797221,
      0.3791571071964016,
      0.3736096310383656,
      0.368140537324859,
      0.3627487319998092,
      0.3574330981706921,
      0.35219251084016756,
      0.34702567235755843,
      0.3419313922207316,
      0.3369089873770371,
      0.3319577197149668,
      0.32707677972673815,
      0.3222654747729071,
      0.31752307334821583,
      0.31284874116524414,
      0.3082415814354681,
      0.3037006616003581,
      0.2992250311345343,
      0.29481373312247355,
      0.2904658120455112,
      0.2861803799664351,
      0.2819566342929879,
      0.277793755702834,
      0.2736908978469232,
      0.26964720105951345,
      0.2656618018453817,
      0.2617338392014335,
      0.2578625529615678,
      0.254047520716458,
      0.25028826907426177,
      0.24658420223420802,
      0.2429346469775101,
      0.2393388826355965,
      0.23579616117570776,
      0.232305720712277,
      0.22886679432785972,
      0.22547861610807532,
      0.22214042491073385,
      0.21885146687720025,
      0.21561099720583074,
      0.21241822174606592,
      0.20927230759243878,
      0.20617246686902144,
      0.2031179510973861,
      0.20010804184838785,
      0.1971420441707903,
      0.19421928251934012,
      0.1913390977546062,
      0.18850084498855363,
      0.1857038923190753,
      0.1829476195082301,
      0.1802314173886093,
      0.1775546872839045,
      0.17491684067101496,
      0.17231729858712372,
      0.16975549158165296,
      0.16723085936730092,
      0.16474285058288288,
      0.16229092252140467,
      0.15987454103921428,
      0.15749318045557564,
      0.15514632342333323,
      0.15283346062457992,
      0.15055409063458505,
      0.14830771981282448,
      0.14609386205028507,
      0.14391203891924118,
      0.14176177937390746,
      0.13964261953581367,
      0.13755410257580009,
      0.135495778794513,
      0.13346720541842513,
      0.1314679464991373,
      0.1294975725592648,
      0.12755566076677785,
      0.12564179463313024,
      0.1237555641059467,
      0.12189656513457417,
      0.12006439997304309,
      0.11825867686620492,
      0.11647900999053988,
      0.11472501922889249,
      0.11299633032627239,
      0.11129257445957332,
      0.1096133884806316,
      0.10795841473191038,
      0.10632730077214181,
      0.10471969938613533,
      0.1031352687201187,
      0.10157367201475483,
      0.10003457740639594,
      0.09851765802416489,
      0.0970225919068419,
      0.09554906180923975,
      0.09409675521518332,
      0.09266536430950453,
      0.09125458572434125,
      0.08986412057426285,
      0.08849367446867883,
      0.08714295743801116,
      0.08581168367814862,
      0.08449957154474882,
      0.08320634367650037,
      0.08193172674228429,
      0.08067545145714751,
      0.07943725245333781,
      0.07821686832433916,
      0.07701404137435099,
      0.0758285178648818,
      0.07466004777567839,
      0.07350838462049825,
      0.07237328547610922,
      0.07125451117040096,
      0.07015182588256062,
      0.06906499727132194,
      0.0679937964912958,
      0.0669379978753993,
      0.0658973791762141,
      0.06487172142534457,
      0.06386080876320908,
      0.06286442846512078,
      0.06188237087996257,
      0.06091442949483756,
      0.05996040078876168,
      0.0590200842022879,
      0.05809328200044915,
      0.05717979936870102,
      0.05627944440222259,
      0.055392027931150556,
      0.05451736350851834,
      0.05365526744349525,
      0.05280555870486181,
      0.0519680589618731,
      0.051142592269233914,
      0.05032898541330826,
      0.04952706772776374,
      0.04873667088383301,
      0.04795762893128504,
      0.04718977837982728,
      0.04643295813113947,
      0.04568700957562792,
      0.04495177623103178,
      0.04422710386309199,
      0.043512840554459926,
      0.0428088365627229,
      0.04211494422167682,
      0.04143101812105756,
      0.04075691496393691,
      0.040092493460832095,
      0.03943761428240772,
      0.03879214019138399,
      0.03815593599488268,
      0.03752886832306953,
      0.036910805828608846,
      0.03630161902131385,
      0.03570118036163427,
      0.03510936401780178,
      0.034526046017625794,
      0.03395110419771675,
      0.03338441820076444,
      0.032825869428945706,
      0.032275340791148535,
      0.031732717018839424,
      0.031197884549934912,
      0.030670731397233114,
      0.030151147229556613,
      0.029639023312866428,
      0.029134252359036366,
      0.028636728812856813,
      0.028146348503136197,
      0.027663008719163978,
      0.027186608362532064,
      0.026717047679132723,
      0.02625422844825978,
      0.025798053846430836,
      0.02534842839948183,
      0.024905258048199045,
      0.02446845003487916,
      0.024037913030131006,
      0.023613556940944837,
      0.023195292959146213,
      0.02278303348082004,
      0.02237669229781604,
      0.02197618447030792,
      0.02158142621053018,
      0.021192334961885485,
      0.020808829304779265,
      0.020430829013021613,
      0.020058255108801812,
      0.01969102957867291,
      0.01932907555789654,
      0.018972317455534748,
      0.018620680562936667,
      0.018274091352760525,
      0.01793247736889278,
      0.017595767248203848,
      0.017263890504152227,
      0.016936777715066607,
      0.016614360570457037,
      0.016296571571143465,
      0.015983344261128133,
      0.015674613176908485,
      0.015370313743567761,
      0.01507038229534484,
      0.014774756118428083,
      0.014483373427987426,
      0.01419617332933814,
      0.013913095763810439,
      0.013634081533996,
      0.013359072313476099,
      0.013088010500563681,
      0.012820839476231,
      0.01255750336269569,
      0.012297947128842647,
      0.012042116584402109,
      0.011789958211801524,
      0.011541419287132227,
      0.011296447870662979,
      0.011054992634696293,
      0.010817003177734404,
      0.01058242971844544,
      0.010351223224895406,
      0.010123335381237355,
      0.009898718557189198,
      0.009677325843875227,
      0.009459110901586925,
      0.009244028045060861,
      0.009032033813298094,
      0.008823086595896713,
      0.008617144554929509,
      0.008414165861819993,
      0.008214108800366838,
      0.008016931895508944,
      0.007822594017915139,
      0.007631054616901809,
      0.007442273548597997,
      0.007256211242795064,
      0.007072828598505646,
      0.00689208719329551,
      0.006713948966891269,
      0.0065383764663546505,
      0.006365332648141998,
      0.006194781114503595,
      0.006026686027757858,
      0.005861012001496344,
      0.005697724127138298,
      0.005536788072233939,
      0.00537816997756798,
      0.005221836457920589,
      0.005067754572658327,
      0.0049158919636898635,
      0.004766216620346867,
      0.004618697065449384,
      0.0044733021935144885,
      0.004330001390516179,
      0.004188764610857694,
      0.004049562144842422,
      0.0039123646167118584,
      0.003777143142801209,
      0.0036438692118245875,
      0.0035125147128737175,
      0.0033830520922620297,
      0.003255454156308432,
      0.003129694040919909,
      0.003005745195319667,
      0.00288358150640937,
      0.002763177380874819,
      0.002644507365394592,
      0.0025275465488985597,
      0.0024122703693517478,
      0.0022986545044804164,
      0.0021866750118784213,
      0.0020763083239452754,
      0.0019675312698551202,
      0.0018603209591687843,
      0.0017546547492537253,
      0.001650510417240952,
      0.0015478660218646353,
      0.0014466999508857094,
      0.001346991027076671,
      0.001248718183452269,
      0.0011518607175656254,
      0.0010563982421235058,
      0.0009623106748459004,
      0.00086957826165491,
      0.0007781815433361441,
      0.0006881012029683225,
      0.0005993183272780859,
      0.0005118142177986078,
      0.0004255704001553691,
      0.00034056868516449846,
      0.00025679122463842985,
      0.00017422039677066515,
      9.283876884236206e-05,
      1.2629232184520827e-05,
      -6.642507121955636e-05,
      -0.00014434078951496834,
      -0.00022113422277583676,
      -0.000296821616002904,
      -0.0003714190129737393,
      -0.00044494204571049966,
      -0.0005174061421685962,
      -0.000588826523135154,
      -0.0006592181920918517,
      -0.0007285959495001586,
      -0.0007969744446176891,
      -0.0008643681121304411,
      -0.0009307911716294156,
      -0.0009962575369463027,
      -0.001060780985423893,
      -0.0011243751739276244,
      -0.001187053418701692,
      -0.0012488288815068836,
      -0.0013097146274066484,
      -0.0013697235044063097,
      -0.0014288681366313412,
      -0.0014871608657018305,
      -0.0015446139710856375,
      -0.0016012396100118188,
      -0.001657049757214306
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566836330017845,
      10.336838502709748,
      10.099050998997106,
      9.856493946783862,
      9.61161527424187,
      9.36653185080139,
      9.123089148495257,
      8.88281542170093,
      8.64691538876497,
      8.416301606922115,
      8.191599348182564,
      7.973163302188439,
      7.761106028669424,
      7.555334805308253,
      7.35559330853501,
      7.161496093885682,
      6.972569464711564,
      6.788296413535234,
      6.608148264605114,
      6.431610421199432,
      6.258197850699454,
      6.087465350707392,
      5.9190268540216415,
      5.752563843865107,
      5.587829930254804,
      5.42465588778499,
      5.262948225163513,
      5.102693783123777,
      4.943952166289327,
      4.786844633866976,
      4.631554016647184,
      4.478329244198976,
      4.327469003706469,
      4.1793299679562415,
      4.0343150073346505,
      3.8928332653129267,
      3.7552833617829138,
      3.622040899758675,
      3.4934503845517377,
      3.369815226640534,
      3.2513866154054973,
      3.138359430384574,
      3.03087077280373,
      2.9289959945942043,
      2.8327413584791645,
      2.7420474257196954,
      2.6568010158532744,
      2.5768432349150334,
      2.5019613547083264,
      2.4319181934855916,
      2.3664648768124006,
      2.3053226437489536,
      2.2481804854874827,
      2.194704426663632,
      2.144515642516274,
      2.097235925829624,
      2.052518238520368,
      2.0100372490820835,
      1.9695005156671355,
      1.9306573632400577,
      1.893308806079539,
      1.857298151581381,
      1.8224970815417765,
      1.7887939876156087,
      1.7560967664293243,
      1.7243315028547173,
      1.6934373329160957,
      1.6633630442563168,
      1.6340646510889085,
      1.6055036580275763,
      1.577645049796872,
      1.5504546178409422,
      1.5239015279504287,
      1.4979583187079226,
      1.472600149983783,
      1.4478042661549329,
      1.4235496113865633,
      1.399816550164779,
      1.3765867307696578,
      1.353843926749963,
      1.3315735938270268,
      1.3097614648878981,
      1.2883935529157546,
      1.2674562478359142,
      1.2469363718588578,
      1.2268212091416395,
      1.2070985176407985,
      1.1877565288254577,
      1.1687839400850846,
      1.150169901388151,
      1.1319040913652931,
      1.1139776909055001,
      1.0963839383925333,
      1.0791165696940066,
      1.0621687848679437,
      1.0455333405851717,
      1.0292027935950858,
      1.0131696617346901,
      0.9974274279611254,
      0.9819710170619228,
      0.9667949670236079,
      0.9518933901330421,
      0.9372601926255546,
      0.922889218624531,
      0.9087743428647462,
      0.8949095302006874,
      0.881288872213059,
      0.8679066088920285,
      0.8547571408526083,
      0.8418350341547256,
      0.8291350212569077,
      0.8166519996347238,
      0.8043810276496773,
      0.7923173201956233,
      0.7804562441492493,
      0.7687933127308066,
      0.7573241798578088,
      0.7460446351369554,
      0.7349505978992013,
      0.724038112541029,
      0.7133033433663923,
      0.7027425697631092,
      0.6923521818840211,
      0.682128675830831,
      0.6720686498021619,
      0.6621687998938105,
      0.6524259162713592,
      0.6428368672845006,
      0.6333985531292973,
      0.6241079601478878,
      0.6149621797070375,
      0.6059583974183252,
      0.597093884114366,
      0.5883659898564284,
      0.5797721387192679,
      0.5713098247727478,
      0.5629766084588693,
      0.5547701135049793,
      0.5466880245646816,
      0.5387277446185079,
      0.5308864313979014,
      0.5231614880323863,
      0.5155505334931271,
      0.5080513482636276,
      0.5006618362649691,
      0.4933799986062352,
      0.4862039160380956,
      0.47913173589416513,
      0.4721616630344526,
      0.4652919532714258,
      0.4585209087874493,
      0.4518468743429528,
      0.4452682346300534,
      0.43878341173022883,
      0.43239086366954227,
      0.4260890828545401,
      0.4198765943670897,
      0.4137519549856698,
      0.40771375212424255,
      0.40176060294649535,
      0.3958911532022922,
      0.39010414882787503,
      0.3843986266177532,
      0.3787736172664964,
      0.3732281011966987,
      0.36776101008071255,
      0.36237123639753616,
      0.35705765418154745,
      0.35181913221662864,
      0.346654361537036,
      0.3415622550430216,
      0.33654213915595155,
      0.33159323563915943,
      0.3267147236463572,
      0.32190591442784416,
      0.31716605078295496,
      0.3124942813635472,
      0.3078896980352297,
      0.3033513605537252,
      0.2988783130903597,
      0.2944695950992678,
      0.2901242488083306,
      0.2858413998566145,
      0.28162024694016013,
      0.2774599642218061,
      0.27335970038070934,
      0.2693185925174957,
      0.2653357748636743,
      0.2614103847619251,
      0.2575416819391251,
      0.25372925223867826,
      0.24997261110978722,
      0.24627115545689432,
      0.24262420708552207,
      0.23903104192474892,
      0.2354909096659607,
      0.23200304679299352,
      0.22856668530598379,
      0.22518105849624556,
      0.22184540473629077,
      0.21855896991138313,
      0.21532100896111775,
      0.21213072094552252,
      0.2089872723592976,
      0.2058898778822065,
      0.20283779058440154,
      0.19983029302812386,
      0.1968666910171563,
      0.19394630946254332,
      0.19106848949780283,
      0.18823258648967595,
      0.1854379685818334,
      0.18268401571568677,
      0.1799701188074797,
      0.1772956792573357,
      0.17466010852167294,
      0.17206282770385045,
      0.16950326728905743,
      0.16698086691530623,
      0.16449507516695797,
      0.16204534944184443,
      0.15963115571379802,
      0.15725196832366684,
      0.1549072697921035,
      0.15259655081983498,
      0.1503193099340775,
      0.1480750534874607,
      0.14586329546165666,
      0.1436835573753573,
      0.14153536818137902,
      0.1394182641087349,
      0.13733178837899002,
      0.13527549135668593,
      0.13324893020503814,
      0.1312516689182008,
      0.1292832780555308,
      0.12734333480106227,
      0.12543142267397012,
      0.12354713168484747,
      0.12169005783708457,
      0.11985980339804275,
      0.11805597661675743,
      0.11627819171522959,
      0.11452606870129906,
      0.11279923326998025,
      0.11109731664649498,
      0.10941995571436637,
      0.10776679278652476,
      0.1061374755597923,
      0.10453165699760092,
      0.10294899520489058,
      0.10138915333895461,
      0.0998517997153744,
      0.09833660740944114,
      0.0968432545226417,
      0.09537142392503796,
      0.09392080319262583,
      0.09249108445844936,
      0.09108196435557213,
      0.08969314411583251,
      0.08832432946793298,
      0.08697523037311085,
      0.08564556118269176,
      0.08433504032419373,
      0.08304339052337978,
      0.08177033852640384,
      0.0805156150105458,
      0.07927895464283581,
      0.0780600960510915,
      0.07685878170690603,
      0.0756747579753381,
      0.07450777476507134,
      0.07335758565242202,
      0.07222394796417048,
      0.07110662249284047,
      0.07000537347850347,
      0.06891996863827034,
      0.06785017913829748,
      0.0667957794322184,
      0.06575654726094242,
      0.06473226371860777,
      0.0637227130604981,
      0.06272768264653283,
      0.06174696293776014,
      0.06078034747537954,
      0.0598276327376453,
      0.05888861824935363,
      0.057963106438856875,
      0.05705090259134642,
      0.056151814790866686,
      0.0552656539744361,
      0.054392233700741095,
      0.053531370422049473,
      0.052682883216396956,
      0.05184659371115982,
      0.05102232617174395,
      0.05020990740014711,
      0.049409166693721536,
      0.04861993588662567,
      0.04784204908570935,
      0.04707534294655013,
      0.046319656459431334,
      0.04557483094792113,
      0.04484071004438509,
      0.0441171397283781,
      0.04340396800487535,
      0.0427010451756236,
      0.0420082237248669,
      0.04132535832121667,
      0.04065230564358258,
      0.03998892444075289,
      0.039335075611216415,
      0.038690621989335414,
      0.03805542835204147,
      0.03742936149958716,
      0.03681229017538698,
      0.03620408488246144,
      0.03560461813872374,
      0.035013764269237725,
      0.03443139938726688,
      0.03385740137203616,
      0.03329164986319631,
      0.03273402626512675,
      0.03218441372933133,
      0.03164269708334795,
      0.0311087627912821,
      0.030582498975010183,
      0.030063795263433345,
      0.029552542956244866,
      0.02904863493004418,
      0.028551965569675115,
      0.028062430889841145,
      0.027579928389619562,
      0.027104356937942522,
      0.02663561683634467,
      0.026173609848903354,
      0.0257182392890484,
      0.025269409851247183,
      0.024827027460734993,
      0.02439099937655068,
      0.023961234324654374,
      0.023537642312628945,
      0.023120134659287753,
      0.022708623889300356,
      0.02230302377879754,
      0.021903249456977303,
      0.021509217129402746,
      0.021120844328893006,
      0.020738049648208804,
      0.020360753035279726,
      0.019988875568673826,
      0.01962233927569026,
      0.019261067374304344,
      0.018904984239400673,
      0.018554015310034883,
      0.018208087090153025,
      0.01786712722949322,
      0.017531064310049464,
      0.017199827979767466,
      0.0168733489632339,
      0.01655155888552263,
      0.01623439038582928,
      0.015921777044462307,
      0.015613653376895914,
      0.015309954920572388,
      0.015010618122225159,
      0.014715580445022624,
      0.014424780021410755,
      0.014138155926094851,
      0.013855648191481357,
      0.013577197737891395,
      0.01330274631385221,
      0.013032236464753119,
      0.012765611562077644,
      0.012502815702053638,
      0.012243793912765134,
      0.01198849198300366,
      0.011736856459685101,
      0.011488834775288307,
      0.011244374958903776,
      0.011003425852373874,
      0.010765937100382641,
      0.010531858991158573,
      0.010301142528618431,
      0.01007373936086176,
      0.009849601997933327,
      0.009628683408989593,
      0.00941093741687091,
      0.009196318433952909,
      0.008984782065735933,
      0.008776286597042562,
      0.00857079070996541,
      0.00836825271141487,
      0.00816863109458378,
      0.007971884675132561,
      0.007777972454982716,
      0.007586853944808542,
      0.00739848915160427,
      0.007212838491626904,
      0.007029862946769943,
      0.00684952410867095,
      0.00667178391333643,
      0.00649660498814048,
      0.006323950479553298,
      0.006153783991347271,
      0.005986069664388242,
      0.005820772239310939,
      0.005657856873684413,
      0.005497289196136344,
      0.005339035432324475,
      0.005183062119503713,
      0.00502933640167939,
      0.004877825983189077,
      0.004728498868157721,
      0.004581323674268224,
      0.004436269375695828,
      0.0042933053404372225,
      0.0041524014391384045,
      0.004013527983985198,
      0.003876655733078486,
      0.0037417559092511265,
      0.003608800087070604,
      0.0034777602085857245,
      0.003348608632193238,
      0.003221318144853473,
      0.0030958619635917503,
      0.0029722136875039093,
      0.002850347251427082,
      0.002730237008144059,
      0.0026118576402728486,
      0.002495184143639982,
      0.0023801920346017656,
      0.0022668570502597366,
      0.0021551552185518842,
      0.0020450629614506043,
      0.00193655718680794,
      0.0018296150642244254,
      0.0017242140243564463,
      0.0016203318611996967,
      0.0015179466831313634,
      0.0014170369222899035,
      0.0013175813008576484,
      0.0012195588684570538,
      0.0011229489133923781,
      0.0010277311931623343,
      0.000933885543231055,
      0.0008413922304740867,
      0.0007502317866611925,
      0.0006603850018538871,
      0.0005718329828294274,
      0.0004845570404790072,
      0.00039853875024646216,
      0.0003137599432488592,
      0.00023020280664375975,
      0.00014784970587187378,
      6.668333782152711e-05,
      -1.331332441450539e-05,
      -9.21571682416323e-05,
      -0.00016986483608392338,
      -0.00024645261907212535,
      -0.00032193669905631196,
      -0.0003963330658488287,
      -0.0004696573637048546,
      -0.0005419250418241825,
      -0.000613151313186105,
      -0.0006833511889363514,
      -0.0007525394480603116,
      -0.0008207306383627988,
      -0.0008879392034452507,
      -0.0009541792784631382,
      -0.0010194648414370493,
      -0.001083809634164476,
      -0.0011472272353935328,
      -0.0012097309106143563,
      -0.0012713338740336145,
      -0.0013320491368705677,
      -0.001391889482079614,
      -0.0014508675019214191,
      -0.0015089955836255838,
      -0.0015662860854222652,
      -0.0016227510541472485,
      -0.00167840235533708
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566833272563418,
      10.336823297611135,
      10.099016103159865,
      9.856434022552623,
      9.611526273201926,
      9.366410795792659,
      9.122934279824635,
      8.88262628178345,
      8.646692207772766,
      8.416044910031818,
      8.191309813372502,
      7.9728416265865025,
      7.760752843239141,
      7.554950603693971,
      7.355178435176401,
      7.161050541726642,
      6.972093063816578,
      6.787788983922774,
      6.607609655507243,
      6.431040601205636,
      6.25759713492923,
      6.086834244685357,
      5.918366030908052,
      5.751874248727331,
      5.587112801263782,
      5.42391276981322,
      5.262181006696559,
      5.1019047364563646,
      4.943143874270588,
      4.7860198839768,
      4.630715979377926,
      4.477481465851696,
      4.326615471699799,
      4.178475414093361,
      4.033464273021896,
      3.891991082280399,
      3.7544542490727526,
      3.6212290818161748,
      3.492659859149358,
      3.369049594688505,
      3.2506489553431566,
      3.137652273161131,
      3.030196094453191,
      2.928355055277655,
      2.8321346078814593,
      2.7414745380265697,
      2.6562611956218887,
      2.576335070490161,
      2.5014826545298625,
      2.431466710701528,
      2.3660382036125154,
      2.3049181355417074,
      2.247795282362604,
      2.194335379440189,
      2.14415923918233,
      2.0968889940688578,
      2.0521778597536016,
      2.0097007868171466,
      1.9691658248443082,
      1.9303227721031564,
      1.8929730952373653,
      1.8569604275120815,
      1.8221566728216991,
      1.7884503959687688,
      1.7557496440680764,
      1.7239806263305755,
      1.693082568580021,
      1.6630043231657325,
      1.633701949555678,
      1.605136984405356,
      1.5772744462804786,
      1.5500801584208508,
      1.5235232884239067,
      1.4975763761766376,
      1.4722145818293513,
      1.4474151499153294,
      1.423157024870624,
      1.399420570276806,
      1.3761874429944403,
      1.3534414576678642,
      1.3311680646940431,
      1.3093529804529633,
      1.2879822062273532,
      1.267042123385543,
      1.2465195480762412,
      1.2264017599345207,
      1.2066765138424569,
      1.1873320388376933,
      1.168357029968526,
      1.1497406358741051,
      1.131472547588441,
      1.113544042768481,
      1.0959484655995058,
      1.0786794900223466,
      1.061730262415544,
      1.0450935023327568,
      1.0287617415399515,
      1.0127274805581536,
      0.9969844264869252,
      0.9815275152037638,
      0.9663511902838846,
      0.9514494999884376,
      0.9368163077316967,
      0.9224454285011479,
      0.9083307175447076,
      0.8944661263686371,
      0.8808457379815736,
      0.8674637863594659,
      0.8543146678218244,
      0.8413929455756146,
      0.8286933501419446,
      0.8162107773467309,
      0.803940284581479,
      0.7918770863849403,
      0.780016548965343,
      0.7683541849044452,
      0.756885647905888,
      0.7456067267330292,
      0.7345133407064103,
      0.7236015339158378,
      0.7128674702799525,
      0.7023074285339675,
      0.691917798509879,
      0.6816950760045635,
      0.6716358589433055,
      0.661736843119498,
      0.6519948183574696,
      0.64240665131991,
      0.6329692404784216,
      0.623679572715996,
      0.6145347399083458,
      0.605531927298632,
      0.5966684056353095,
      0.5879415246374907,
      0.5793487081786965,
      0.5708874499804628,
      0.5625553102613213,
      0.5543499124898668,
      0.5462689408657887,
      0.5383098498159092,
      0.5304698017903928,
      0.5227461806050914,
      0.5151365921322957,
      0.5076388077088472,
      0.5002507249312252,
      0.49297034104887294,
      0.4857957336943456,
      0.4787250478599944,
      0.4717564866752918,
      0.4648883048222513,
      0.458118803510804,
      0.4514463268316844,
      0.44486925879777833,
      0.43838602097273627,
      0.43199507086701155,
      0.42569490034214263,
      0.4194840341282667,
      0.41336102873860797,
      0.40732447117370707,
      0.40137297810685435,
      0.3955051949691094,
      0.3897199361329602,
      0.3840162550575757,
      0.3783931597360337,
      0.37284961474145906,
      0.36738453347380684,
      0.36199679614733143,
      0.3566852683534863,
      0.35144881322933763,
      0.3462861243353688,
      0.3411962113156106,
      0.3361783965532372,
      0.33123186441485863,
      0.32635579523853053,
      0.32154949025432333,
      0.31681216897798015,
      0.3121429643380344,
      0.30754095746897464,
      0.3030052009459889,
      0.29853473413616005,
      0.29412859343473363,
      0.28978582261496866,
      0.28550555944015177,
      0.28128700015813674,
      0.2771293124765857,
      0.27303164074067254,
      0.2689931190690887,
      0.2650128798209899,
      0.2610900588416428,
      0.25722394070503457,
      0.25341411261580593,
      0.24966007981868088,
      0.24596123233643075,
      0.24231688716680755,
      0.23872631706545977,
      0.23518876952165185,
      0.2317034795242011,
      0.22826967815088142,
      0.2248865979561143,
      0.22155347685858834,
      0.21826956036580358,
      0.2150341031259144,
      0.21184629769348898,
      0.2087053100439627,
      0.2056103572016135,
      0.20256069382819816,
      0.19955560349494034,
      0.19659439265060513,
      0.1936763867431938,
      0.1908009272468916,
      0.18796736974956368,
      0.1851750825085167,
      0.18242344564942584,
      0.1797118500120241,
      0.17703969703951622,
      0.174406398146898,
      0.17181137436783933,
      0.1692540562855363,
      0.166733883650579,
      0.16425030507882038,
      0.16180277785415215,
      0.1593907678235329,
      0.15701374942218108,
      0.15467120525061606,
      0.15236262599184552,
      0.15008751007634982,
      0.14784536386428238,
      0.14563570152513758,
      0.14345804459572598,
      0.1413119220043564,
      0.1391968698355737,
      0.13711243142124982,
      0.13505815708967417,
      0.13303360401818717,
      0.13103833625848393,
      0.12907192447716265,
      0.12713394576711562,
      0.12522398372618154,
      0.12334162832687182,
      0.12148647569110119,
      0.11965812812574274,
      0.11785619396129003,
      0.1160802873457874,
      0.11433002835615917,
      0.11260504275932462,
      0.11090496184913998,
      0.10922942253626147,
      0.10757806705532638,
      0.10595054315431791,
      0.10434650387539088,
      0.1027656072453742,
      0.10120751656771228,
      0.09967190015348808,
      0.09815843124701495,
      0.09666678800007586,
      0.095196653335381,
      0.09374771477541344,
      0.09231966449069662,
      0.090912199312535,
      0.08952502058431161,
      0.08815783394522506,
      0.0868103494218961,
      0.08548228140142534,
      0.08417334834599603,
      0.08288327298346558,
      0.08161178217837625,
      0.08035860670661363,
      0.07912348137784059,
      0.0779061448063295,
      0.07670633954861739,
      0.07552381190821054,
      0.0743583119291132,
      0.07320959335454585,
      0.07207741353261853,
      0.07096153323945402,
      0.06986171683584863,
      0.06877773216027569,
      0.06770935041245843,
      0.0666563461124679,
      0.0656184971135337,
      0.06459558451248015,
      0.06358739266122208,
      0.06259370897374252,
      0.06161432398297201,
      0.06064903120894488,
      0.05969762729849988,
      0.058759911881029386,
      0.05783568738759046,
      0.0569247591949637,
      0.056026935501285006,
      0.05514202726263315,
      0.05426984818476128,
      0.0534102148520687,
      0.05256294628226676,
      0.051727864132804856,
      0.05090479276424157,
      0.0500935589894255,
      0.04929399219774126,
      0.048505924326929226,
      0.04772918967892031,
      0.04696362488477998,
      0.04620906901506373,
      0.04546536345456289,
      0.044732351983087594,
      0.044009880534404196,
      0.04329779732283137,
      0.0425959527335933,
      0.041904199336149986,
      0.0412223916795882,
      0.04055038662070854,
      0.03988804310725137,
      0.03923522190579355,
      0.03859178600120433,
      0.03795760029827527,
      0.037332531610969444,
      0.03671644869677296,
      0.036109222238354326,
      0.03551072477219398,
      0.03492083064319108,
      0.03433941613161286,
      0.03376635921878616,
      0.03320153968050713,
      0.032644838935908735,
      0.03209614012854569,
      0.03155532817604895,
      0.031022289645281514,
      0.030496912649762786,
      0.029979086978856307,
      0.02946870398846729,
      0.02896565664743526,
      0.02846983944376463,
      0.02798114839223667,
      0.027499481009547952,
      0.02702473624448631,
      0.026556814509191062,
      0.02609561768416555,
      0.025641049033590834,
      0.025193013316767612,
      0.024751416619129434,
      0.02431616632847851,
      0.02388717109065883,
      0.02346434098019282,
      0.023047587345405907,
      0.022636822875138813,
      0.02223196142236857,
      0.021832918074106613,
      0.021439609181573293,
      0.02105195234442597,
      0.020669866476299523,
      0.020293271334412596,
      0.019922087968868588,
      0.019556238636129864,
      0.01919564660241044,
      0.01884023627594877,
      0.018489933127047227,
      0.018144663828761357,
      0.01780435603304428,
      0.01746893834193991,
      0.017138340473020094,
      0.01681249321939997,
      0.01649132826112379,
      0.01617477824734761,
      0.015862776939603224,
      0.015555258888353896,
      0.015252159621879136,
      0.014953415692475509,
      0.014658964440529368,
      0.01436874424509531,
      0.014082694250288021,
      0.013800754514914406,
      0.013522865980893809,
      0.013248970413569712,
      0.012979010529543807,
      0.012712929587542813,
      0.012450671986605063,
      0.012192182729710153,
      0.011937407698310394,
      0.01168629346518337,
      0.01143878744129157,
      0.011194837732998005,
      0.010954393256764339,
      0.010717403704057134,
      0.010483819407674603,
      0.010253591407662585,
      0.010026671354674346,
      0.009803011746615726,
      0.009582565812052172,
      0.009365287422330646,
      0.009151131005959984,
      0.008940051656089866,
      0.008732006989533922,
      0.008526956045713293,
      0.008324857631131236,
      0.008125670412352268,
      0.007929353307109508,
      0.007735865488532367,
      0.007545166542991444,
      0.007357216584941912,
      0.007171976195916362,
      0.006989406416186876,
      0.006809468833514446,
      0.006632125489637807,
      0.006457339087637429,
      0.006285072705455369,
      0.006115290045600454,
      0.005947955260724269,
      0.005783033054653797,
      0.005620488734874011,
      0.005460288012509015,
      0.005302397071598252,
      0.005146782550630394,
      0.0049934116407929895,
      0.00484225196336205,
      0.004693271799117763,
      0.004546439600986787,
      0.00440172441737677,
      0.004259095821698542,
      0.004118523684558933,
      0.00397997837387308,
      0.0038434306064645796,
      0.0037088515495944862,
      0.003576212828502682,
      0.0034454864914489156,
      0.003316644919013805,
      0.003189661033864209,
      0.0030645080671376996,
      0.002941159580800361,
      0.0028195894847146976,
      0.0026997721182616717,
      0.0025816821880480035,
      0.0024652948274967437,
      0.0023505855757560237,
      0.0022375302116181416,
      0.002126104951273924,
      0.002016286201969847,
      0.0019080508067536495,
      0.0018013759852194401,
      0.0016962391741986225,
      0.0015926181618753615,
      0.001490491089516626,
      0.0013898365183989787,
      0.0012906331992931454,
      0.0011928601736069088,
      0.0010964968691586558,
      0.0010015228922458084,
      0.0009079182146736928,
      0.0008156631461108093,
      0.0007247381676441201,
      0.0006351240396221939,
      0.000546801967935274,
      0.00045975335840662586,
      0.0003739598265062424,
      0.00028940324606941027,
      0.0002060658372448493,
      0.00012392998201600394,
      4.297835873767889e-05,
      -3.68061387734826e-05,
      -0.00011544025188450562,
      -0.00019294062031535413,
      -0.00026932358001826727,
      -0.00034460523392143647,
      -0.0004188014959730118,
      -0.0004919280008106269,
      -0.0005640002543980994,
      -0.000635033427706836,
      -0.000705042352528892,
      -0.0007740418788769382,
      -0.000842046608614892,
      -0.0009090708448050998,
      -0.0009751287370356001,
      -0.001040234177657203,
      -0.0011044009328746974,
      -0.0011676425758258438,
      -0.0012299724445150066,
      -0.0012914036878021661,
      -0.0013519491834056308,
      -0.0014116217539413521,
      -0.0014704340135384445,
      -0.00152839839209041,
      -0.001585527024881869,
      -0.0016418319657866113,
      -0.0016973251072053882
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566830229553977,
      10.336808160633673,
      10.09898135651169,
      9.856374344565818,
      9.611437515625445,
      9.366290004024888,
      9.122779714192149,
      8.882437499612198,
      8.646469450733319,
      8.415788714170045,
      8.191020865636004,
      7.97252063194492,
      7.760400439071459,
      7.554567288288573,
      7.354764555922965,
      7.160606095343901,
      6.971617884481166,
      6.787282895756282,
      6.607072510817653,
      6.430472373611319,
      6.25699814220466,
      6.08620499496722,
      5.917707199703043,
      5.751186782280333,
      5.586397938238655,
      5.423172054016015,
      5.261416325477682,
      5.101118359229794,
      4.942338381037398,
      4.785198059665639,
      4.629880995313728,
      4.476636866110359,
      4.325765265390352,
      4.177624343045822,
      4.032617151054821,
      3.891152615615228,
      3.7536289321234104,
      3.620421112849476,
      3.491873209106952,
      3.3682878387629027,
      3.2499151493601497,
      3.136948927395769,
      3.0295251670504277,
      2.9277177903731713,
      2.8315314432896455,
      2.740905142749564,
      2.655724770411309,
      2.5758302020108386,
      2.5010071523754545,
      2.4310183302381407,
      2.3656145406810563,
      2.3045165461271013,
      2.2474129099461706,
      2.1939690847958317,
      2.1438055206561852,
      2.0965446257180953,
      2.051839902017998,
      2.0093666383103703,
      1.9688333679041996,
      1.9299903571051,
      1.8926395192099705,
      1.856624809171092,
      1.8218183501385448,
      1.7881088771951705,
      1.7554045864825565,
      1.723631810991287,
      1.692729865113043,
      1.6626476644094237,
      1.6333413132720993,
      1.604772380062289,
      1.576905916947771,
      1.5497077782629478,
      1.5231471334192073,
      1.4971965238148788,
      1.4718311100327242,
      1.4470281368099125,
      1.422766547625929,
      1.3990267058599188,
      1.375790278262049,
      1.3530411195394338,
      1.3307646736274548,
      1.3089466407334938,
      1.2875730109743182,
      1.2666301573877445,
      1.2461048897756763,
      1.2259844837773362,
      1.206256691114293,
      1.1869097377951834,
      1.1679323166900486,
      1.1493135749130827,
      1.1310432156523806,
      1.1131126135890077,
      1.095515218912674,
      1.0782446430241448,
      1.061293978769214,
      1.044655909440707,
      1.028322941454161,
      1.0122875580528812,
      0.996543690006357,
      0.9810862842141266,
      0.9659096894637755,
      0.9510078905779591,
      0.9363747080213077,
      0.9220039278193851,
      0.9078893856501894,
      0.8940250201450962,
      0.8804049050926699,
      0.867023268770353,
      0.853874503362281,
      0.8409531694823404,
      0.8282539955648385,
      0.8157718759411126,
      0.8035018670334979,
      0.7914391825668042,
      0.7795791881286539,
      0.7679173958862818,
      0.7564494588647889,
      0.745171165712338,
      0.7340784349909643,
      0.7231673106484251,
      0.7124339561770984,
      0.7018746501249021,
      0.691485781932798,
      0.6812638471489354,
      0.6712054432512811,
      0.6613072657081274,
      0.651566103952653,
      0.6419788231890501,
      0.6325423198581105,
      0.6232535812530878,
      0.6141096993464924,
      0.605107859716777,
      0.5962453331454302,
      0.5875194690749317,
      0.5789276911406833,
      0.5704674926021449,
      0.5621364332126185,
      0.5539321361674253,
      0.5458522852213876,
      0.5378943867125389,
      0.5300556079185531,
      0.5223333130442994,
      0.5147250947684603,
      0.5072287154397773,
      0.4998420664375328,
      0.4925631404954732,
      0.4853900122586715,
      0.4783208245323353,
      0.47135377899566944,
      0.4644871291236298,
      0.4577191750517042,
      0.45104826012354565,
      0.4444727676702504,
      0.437991118784881,
      0.4316017705343485,
      0.42530321412842137,
      0.41909397393978637,
      0.4129726059037291,
      0.4069376968273011,
      0.40098786316285084,
      0.39512174983384746,
      0.38933824727349303,
      0.3836364146748727,
      0.37801524145727516,
      0.37247367319171854,
      0.36701060584128664,
      0.3616249079037851,
      0.35631543704649027,
      0.35108105094500597,
      0.3459204880728626,
      0.3408328324275722,
      0.3358173607140459,
      0.3308732268714982,
      0.3259996207756259,
      0.3211958321397589,
      0.31646105980738953,
      0.311794422745786,
      0.3071949928134605,
      0.3026618163295271,
      0.29819392836854347,
      0.2937903622146277,
      0.28945016744141233,
      0.28517249216349394,
      0.28095652641536173,
      0.2768014321396396,
      0.272706349942714,
      0.26867041127227076,
      0.2646927466690331,
      0.26077249095213795,
      0.25690895335105157,
      0.2531017224553719,
      0.24935029337844158,
      0.24565404915507147,
      0.2420123021982964,
      0.2384243221341656,
      0.23488935434445277,
      0.23140663229030234,
      0.22797538604296275,
      0.2245948475645862,
      0.22126425419730228,
      0.21798285111331095,
      0.21474988936677145,
      0.21156455676468697,
      0.20842602202964072,
      0.2053335039106715,
      0.20228625822354007,
      0.19928356940552513,
      0.1963247445495589,
      0.19340910937412828,
      0.19053600565742979,
      0.1877047891213229,
      0.1849148281012806,
      0.1821655026424391,
      0.17945620371322105,
      0.17678633268720376,
      0.17415530111733993,
      0.17156253013430156,
      0.16900745019253832,
      0.16648950100496543,
      0.16400813123972954,
      0.1615627981888973,
      0.15915296775829607,
      0.15677811430763222,
      0.15443772043661735,
      0.15213127685059957,
      0.14985828195493292,
      0.14761824218928288,
      0.14541067166514995,
      0.14323509191413533,
      0.1410910317711999,
      0.13897802743802112,
      0.13689562221735788,
      0.1348433665226443,
      0.13282081760312872,
      0.13082753946730655,
      0.12886310277549146,
      0.12692708472713193,
      0.12501906892309225,
      0.12313864536224527,
      0.12128541022248929,
      0.11945896573699576,
      0.11765892022305774,
      0.11588488795834086,
      0.1141364890888221,
      0.11241334934538671,
      0.11071510005203233,
      0.10904137813277823,
      0.10739182603530281,
      0.10576609146873123,
      0.10416382748970034,
      0.1025846921669433,
      0.10102834894356204,
      0.0994944662279478,
      0.09798271726269271,
      0.0964927800919558,
      0.09502433764068914,
      0.09357707761332602,
      0.09215069229433862,
      0.09074487845312272,
      0.08935933755761291,
      0.08799377526568398,
      0.08664790169464287,
      0.08532143119421605,
      0.08401408244579543,
      0.08272557820488441,
      0.08145564532194355,
      0.08020401462180633,
      0.07897042104837508,
      0.07775460327984886,
      0.07655630388261334,
      0.07537526922715573,
      0.07421124939574,
      0.07306399815088974,
      0.07193327287581473,
      0.07081883444856119,
      0.06972044742766446,
      0.06863787965326551,
      0.0675709023943061,
      0.06651929025411947,
      0.06548282117050767,
      0.06446127626604195,
      0.06345443991678384,
      0.06246209961037631,
      0.06148404603154672,
      0.06052007286087661,
      0.059569976772166626,
      0.05863355731332873,
      0.05771061706870497,
      0.05680096144767413,
      0.05590439870949541,
      0.05502073988447677,
      0.05414979881664834,
      0.05329139201981581,
      0.052445338658143284,
      0.05161146055570793,
      0.050789582082368556,
      0.04997953030396234,
      0.049181134585672456,
      0.04839422682454672,
      0.04761864140521902,
      0.04685421502817154,
      0.046100786938157,
      0.045358198605449346,
      0.04462629374341785,
      0.04390491839793473,
      0.0431939208199752,
      0.04249315155959686,
      0.04180246316479754,
      0.04112171042571291,
      0.040450750156208276,
      0.03978944134926863,
      0.03913764500034264,
      0.03849522407814706,
      0.037862043493646705,
      0.03723797020036194,
      0.03662287306741798,
      0.03601662283908662,
      0.03541909210171614,
      0.03483015537873413,
      0.03424968883830467,
      0.03367757050381117,
      0.033113680207527245,
      0.03255789963988828,
      0.03201011194844462,
      0.031470201981496936,
      0.030938056465055642,
      0.030413563652630288,
      0.02989661331200381,
      0.02938709697215347,
      0.02888490767113744,
      0.028389939970868572,
      0.027902089863070433,
      0.02742125488441192,
      0.02694733407861144,
      0.026480227938763586,
      0.02601983848914354,
      0.025566069131011143,
      0.02511882455754779,
      0.024678010883482555,
      0.024243535615079338,
      0.023815307561727398,
      0.023393236892705144,
      0.02297723502734296,
      0.02256721461265901,
      0.02216308956967494,
      0.021764775099979882,
      0.02137218759851142,
      0.02098524473830832,
      0.020603865338942817,
      0.02022796946687886,
      0.01985747809702463,
      0.019492313477537503,
      0.019132399016140996,
      0.01877765929808136,
      0.018428019790762154,
      0.018083407168973956,
      0.01774374926912535,
      0.01740897467291701,
      0.0170790132228815,
      0.016753795651779292,
      0.016433253718361913,
      0.01611732021987844,
      0.01580592893227375,
      0.015499014509581943,
      0.015196512456786519,
      0.014898359379550329,
      0.01460449279941801,
      0.014314851023286081,
      0.014029373340433669,
      0.013747999937222323,
      0.01347067169448657,
      0.013197330413452307,
      0.01292791877859546,
      0.012662380310935046,
      0.012400659324622072,
      0.012142700893220474,
      0.011888450933046718,
      0.011637856137403608,
      0.011390863977515008,
      0.011147422649167007,
      0.010907481066721797,
      0.010670988872481756,
      0.010437896538408951,
      0.01020815521617647,
      0.009981716647252347,
      0.009758533355515787,
      0.009538558498994706,
      0.009321746080531752,
      0.009108050595621843,
      0.008897427140090806,
      0.008689832276791123,
      0.008485225093464822,
      0.008283564745171891,
      0.008084810339378036,
      0.007888920940585591,
      0.007695855963199225,
      0.007505575171152933,
      0.007318038723775764,
      0.007133207133723648,
      0.006951041608336066,
      0.006771503731892016,
      0.006594555677605719,
      0.00642016014804877,
      0.0062482803751879035,
      0.006078880052474132,
      0.005911923402167443,
      0.005747375168538244,
      0.005585200537293539,
      0.0054253653167202895,
      0.005267835783477824,
      0.005112578703489354,
      0.0049595613288474045,
      0.004808751288380421,
      0.004660116759615254,
      0.004513626413741339,
      0.004369249267160222,
      0.0042269548526791675,
      0.004086713042539916,
      0.0039484943309267715,
      0.0038122694572718953,
      0.0036780097686561768,
      0.0035456868973429154,
      0.0034152728275112653,
      0.003286740039786304,
      0.0031600613395528516,
      0.003035210087445992,
      0.002912159910133085,
      0.0027908846986638156,
      0.0026713590086579514,
      0.0025535574448686624,
      0.002437455223286553,
      0.002323027863880965,
      0.0022102511708484906,
      0.0020991013474157792,
      0.0019895549026617064,
      0.0018815886926774096,
      0.0017751799633603327,
      0.0016703062929023205,
      0.0015669454974718779,
      0.0014650756903722265,
      0.001364675342394403,
      0.0012657233691436688,
      0.0011681988637423572,
      0.0010720812373237335,
      0.000977350093749032,
      0.0008839854740114784,
      0.0007919676315373793,
      0.0007012771517892731,
      0.0006118948951527326,
      0.000523801947428435,
      0.0004369797679518998,
      0.0003514100660276792,
      0.00026707485002252504,
      0.00018395625487939557,
      0.0001020366565985652,
      2.129874913699812e-05,
      -5.8274478795172825e-05,
      -0.0001366999378690258,
      -0.00021399411002093384,
      -0.0002901732278272616,
      -0.00036525343367690467,
      -0.0004392505757071803,
      -0.0005121802829221741,
      -0.0005840579502083321,
      -0.0006548987033786481,
      -0.0007247175157028423,
      -0.0007935291714007157,
      -0.0008613482282292266,
      -0.0009281889344658972,
      -0.000994065501545825,
      -0.001058991784260976,
      -0.0011229815070443706,
      -0.0011860481586632745,
      -0.0012482050262216484,
      -0.0013094652536026815,
      -0.0013698417087183248,
      -0.001429347161132263,
      -0.0014879942368352377,
      -0.0015457953150971487,
      -0.0016027626216138988,
      -0.0016589081557438277,
      -0.001714243788340303
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566827200379173,
      10.336793085877728,
      10.098946744167906,
      9.856314886333337,
      9.611349069845675,
      9.366169622299775,
      9.122625661196842,
      8.882249336940742,
      8.646247421224155,
      8.415533352634407,
      8.190732859622276,
      7.972200685927582,
      7.760049188820245,
      7.5541852312293125,
      7.354352039444912,
      7.160163116437798,
      6.9711442774347985,
      6.786778484924091,
      6.606537149889592,
      6.429906038861789,
      6.256401134991517,
      6.085577827682167,
      5.917050552489891,
      5.750501605296304,
      5.585685472702833,
      5.422433845443692,
      5.260654260899096,
      5.100334706799284,
      4.941535717868338,
      4.7843791662073425,
      4.629049047972307,
      4.475795410478579,
      4.324918369297857,
      4.1767767862304055,
      4.0317737136486915,
      3.8903179694753436,
      3.752807537759406,
      3.6196171514816196,
      3.49109063453055,
      3.3675301943104414,
      3.249185460115721,
      3.1362496765421626,
      3.0288582877326724,
      2.927084506395432,
      2.830932175764937,
      2.740339549512477,
      2.6551920442479826,
      2.5753289249300813,
      2.5005351329358967,
      2.430573323461207,
      2.3651941447026053,
      2.3041180677938478,
      2.247033464376324,
      2.193605557605768,
      2.1434544356075818,
      2.096202778384525,
      2.0515043725996307,
      2.0090348446180752,
      1.9685032080695488,
      1.9296601936817892,
      1.8923081582781158,
      1.8562913768373417,
      1.8214821903066136,
      1.78776950361102,
      1.7550616604207006,
      1.7232851164508705,
      1.692379273747175,
      1.6622931105160936,
      1.6329827759042097,
      1.6044098699546563,
      1.5765394781015474,
      1.54933748634745,
      1.5227730651632272,
      1.4968187567496838,
      1.4714497223745386,
      1.446643206616111,
      1.422378153105074,
      1.3986349246972436,
      1.3753951973516731,
      1.352642865509238,
      1.33036336712449,
      1.3085423864547785,
      1.2871659021613686,
      1.2662202790142538,
      1.2456923206296668,
      1.2255692980966872,
      1.20583895957066,
      1.1864895288422908,
      1.1675096966989773,
      1.148888608364441,
      1.1306159797789512,
      1.1126833325497099,
      1.095084154601448,
      1.0778120009996799,
      1.0608599148940776,
      1.0442205455607068,
      1.0278863760426953,
      1.0118499346983727,
      0.9961053450542723,
      0.980647503592282,
      0.9654706756059276,
      0.9505687899614238,
      0.9359356289274794,
      0.921564953177761,
      0.9074505812427635,
      0.8935864400179342,
      0.8799665954042636,
      0.866585270288621,
      0.8534368533273892,
      0.8405159022280024,
      0.8278171438337989,
      0.8153354713706841,
      0.8030659401184099,
      0.7910037630658466,
      0.7791443052546134,
      0.767483078279969,
      0.7560157348368469,
      0.7447380633205517,
      0.7336459820053164,
      0.7227355342760026,
      0.7120028833608223,
      0.7014443077808157,
      0.6910561963383738,
      0.6808350441598343,
      0.6707774483297221,
      0.6608801037372594,
      0.6511397994989776,
      0.641553399712676,
      0.6321177985787777,
      0.6228299842007714,
      0.6136870487160432,
      0.6046861776992378,
      0.5958246418534325,
      0.5870997903078787,
      0.5785090462942768,
      0.5700499030785169,
      0.5617199200093634,
      0.5535167197384849,
      0.5454379857110759,
      0.5374812762610298,
      0.5296437631953346,
      0.5219227913174,
      0.514315940270641,
      0.5068209632177804,
      0.49943574519904543,
      0.49215827458930556,
      0.48498662289713135,
      0.47791893081984055,
      0.4709533984613904,
      0.4640882779127614,
      0.4573218684889551,
      0.45065251273437107,
      0.4440785933472848,
      0.43759853084584516,
      0.43121078179866335,
      0.4249138371406876,
      0.41870622070422514,
      0.4125864881215068,
      0.40655322567088503,
      0.40060504919687706,
      0.3947406327867953,
      0.38895892772879664,
      0.3832589727426731,
      0.3776397418077339,
      0.37210016181992844,
      0.36663911419580897,
      0.3612554574916406,
      0.3559480426760155,
      0.35071572287269687,
      0.3455572822945998,
      0.3404718793128742,
      0.335458745250231,
      0.33051700402602824,
      0.3256458550015384,
      0.3208445764087423,
      0.31611234657954695,
      0.3114482707051783,
      0.30685141126028315,
      0.3023208081484022,
      0.29785549221967,
      0.2934544938798373,
      0.28911686842961665,
      0.2848417743251097,
      0.2806283952622022,
      0.2764758876490822,
      0.27238338818910507,
      0.2683500257234711,
      0.2643749291017169,
      0.2604572318372569,
      0.2565962679037327,
      0.2527916272742024,
      0.24904279494119969,
      0.24534914707647634,
      0.24170999139121846,
      0.23812459437903358,
      0.23459219927245142,
      0.2311120382295435,
      0.22768334029828258,
      0.22430533660282653,
      0.22097726412041807,
      0.21769836767035267,
      0.21446789487354803,
      0.21128502872157862,
      0.20814894059143868,
      0.20505885097863763,
      0.20201401691289972,
      0.19901372363075367,
      0.19605727871315476,
      0.19314400837440493,
      0.19027325455334182,
      0.18744437300049394,
      0.1846567321508015,
      0.1819097121550939,
      0.1792027040425093,
      0.17653510929074648,
      0.17390633930704447,
      0.17131581520038278,
      0.16876296754599462,
      0.16624723602033614,
      0.16376806919900577,
      0.16132492445961355,
      0.15891726778669482,
      0.156544573478008,
      0.15420632404425907,
      0.15190201015623087,
      0.1496311303849103,
      0.147393191179441,
      0.14518770655525487,
      0.14301419802550705,
      0.14087219456050187,
      0.13876123237710308,
      0.13668085481923484,
      0.1346306123035107,
      0.13261006204393608,
      0.13061876810184353,
      0.1286563011066312,
      0.12672223828233353,
      0.12481616329068727,
      0.12293766608771782,
      0.12108634294566226,
      0.11926179614480575,
      0.1174636340405653,
      0.11569147096483916,
      0.1139449270192821,
      0.11222362791884986,
      0.11052720508845645,
      0.10885529559390297,
      0.10720754186824004,
      0.10558359163406832,
      0.10398309797017483,
      0.1024057191034153,
      0.10085111837643979,
      0.09931896425826006,
      0.09780892999030681,
      0.09632069381470859,
      0.09485393869754871,
      0.09340835238035691,
      0.09198362711674925,
      0.09057945977478275,
      0.08919555175112048,
      0.08783160897773036,
      0.08648734153037853,
      0.08516246389138896,
      0.08385669470242861,
      0.08256975677069311,
      0.08130137702940055,
      0.08005128639819492,
      0.07881921976914248,
      0.07760491597803285,
      0.07640811767527435,
      0.07522857132822687,
      0.0740660270050278,
      0.07292023856234746,
      0.0717909634589188,
      0.07067796262669108,
      0.06958100061842377,
      0.06849984540572461,
      0.06743426825652094,
      0.06638404392982426,
      0.06534895048890747,
      0.06432876903104832,
      0.06332328400422757,
      0.062332282963351034,
      0.0613555566659253,
      0.06039289883579394,
      0.059444106138251095,
      0.05850897837912303,
      0.057587318203682625,
      0.05667893099018474,
      0.055783625100505385,
      0.05490121179535515,
      0.05403150490232807,
      0.05317432094860334,
      0.05232947915112697,
      0.05149680131495472,
      0.05067611204986788,
      0.04986723840924986,
      0.04907000992610499,
      0.04828425858208246,
      0.04750981869666942,
      0.04674652709563367,
      0.04599422308211544,
      0.04525274821048463,
      0.044521946281728474,
      0.04380166346838721,
      0.04309174810471188,
      0.04239205072387105,
      0.04170242396346084,
      0.04102272274611148,
      0.04035280398886066,
      0.0396925266186184,
      0.0390417516974821,
      0.038400342288973356,
      0.037768163468551635,
      0.037145082221104055,
      0.03653096753336388,
      0.035925690210967,
      0.035329122918745126,
      0.03474114016773507,
      0.03416161827737044,
      0.033590435284405314,
      0.03302747112219171,
      0.032472607413048506,
      0.0319257275659777,
      0.031386716646128895,
      0.030855461244091997,
      0.030331849631010703,
      0.029815771738756245,
      0.029307119118175223,
      0.028805784897044034,
      0.02831166365500996,
      0.02782465150171058,
      0.02734464611569467,
      0.026871546605489544,
      0.026405253547556917,
      0.025945668934876005,
      0.02549269619429004,
      0.025046240171423654,
      0.024606207127428455,
      0.02417250460133768,
      0.02374504132826479,
      0.02332372757567754,
      0.022908474912955595,
      0.0224991960053316,
      0.02209580479387795,
      0.021698216622705168,
      0.021306347939535123,
      0.02092011650945106,
      0.020539441175166734,
      0.02016424202314808,
      0.01979444014667955,
      0.01942995789044678,
      0.019070718781649496,
      0.018716647364024862,
      0.018367669265010746,
      0.018023711184102138,
      0.01768470082207272,
      0.017350566972899276,
      0.017021239543856446,
      0.016696649306197468,
      0.01637672815824239,
      0.016061408941207608,
      0.015750625341277105,
      0.015444312094145091,
      0.015142404989974614,
      0.01484484058997454,
      0.014551556435568838,
      0.014262490892693923,
      0.013977583221862735,
      0.013696773683509227,
      0.013420003335542737,
      0.01314721401841805,
      0.012878348534576358,
      0.012613350353776144,
      0.012352163887738752,
      0.012094734278479248,
      0.011841007443965865,
      0.011590930165023517,
      0.011344449965699404,
      0.011101515149109318,
      0.010862074601866797,
      0.010626078096043455,
      0.010393476115278346,
      0.010164219712920352,
      0.009938260892719833,
      0.009715552153126052,
      0.009496046714643274,
      0.009279698476082409,
      0.009066462075582964,
      0.008856292801616376,
      0.008649146595554156,
      0.008444981825098946,
      0.008243758179841739,
      0.00804543504361537,
      0.007849971857082387,
      0.007657328117289869,
      0.007467463715065616,
      0.007280338815653304,
      0.00709591416691118,
      0.0069141509832285055,
      0.0067350110607110256,
      0.006558456537990107,
      0.006384450148574836,
      0.0062129551826077415,
      0.006043935444584021,
      0.005877355245011169,
      0.0057131792665626995,
      0.005551372775507867,
      0.005391901574184505,
      0.005234731975113205,
      0.005079830872371085,
      0.004927165503304845,
      0.0047767036127522615,
      0.004628413320028107,
      0.004482263235474926,
      0.004338222598154222,
      0.004196260894208641,
      0.004056348137968208,
      0.003918454741311809,
      0.0037825515567921695,
      0.003648609896739529,
      0.0035166013633236982,
      0.0033864981061077796,
      0.0032582726681014145,
      0.0031318979481456885,
      0.0030073472916005914,
      0.0028845942455561933,
      0.0027636128939470196,
      0.002644377616497082,
      0.0025268631721865192,
      0.002411044784636757,
      0.002296897987607015,
      0.002184398681700873,
      0.0020735231032299457,
      0.001964247801014594,
      0.001856549671545869,
      0.0017504058554209292,
      0.0016457939976793094,
      0.0015426920581283318,
      0.0014410781739411208,
      0.001340930892037075,
      0.0012422289827732946,
      0.0011449516559171773,
      0.001049078357975593,
      0.0009545887551109512,
      0.0008614629205526297,
      0.0007696811800979968,
      0.0006792241047367631,
      0.0005900725489128905,
      0.0005022077152324362,
      0.00041561112535952596,
      0.000330264381836153,
      0.0002461494460561698,
      0.00016324859268468763,
      8.154419377063833e-05,
      1.0189676457578422e-06,
      -7.834403180682972e-05,
      -0.00015656153867708058,
      -0.00023365013458725834,
      -0.00030962616742497267,
      -0.0003845056754896756,
      -0.0004583044632304037,
      -0.0005310380552357805,
      -0.0006027218398063634,
      -0.0006733711102293622,
      -0.0007430007559023094,
      -0.0008116254609013106,
      -0.000879259665952393,
      -0.0009459176443318819,
      -0.0010116135770387293,
      -0.0010763613794476374,
      -0.0011401746730790414,
      -0.0012030669410835434,
      -0.0012650514983944035,
      -0.0013261414166650435,
      -0.0013863495439540904,
      -0.0014456887079179847,
      -0.00150417136500836,
      -0.0015618100250677643,
      -0.0016186168231852648,
      -0.0016746037582918815,
      -0.0017297826765587901
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566824182190697,
      10.336778062365443,
      10.098912242520317,
      9.856255608155053,
      9.611260877518575,
      9.366049569686941,
      9.122471917665024,
      8.882061379435056,
      8.646025518257419,
      8.415278063208827,
      8.19044489028762,
      7.971880758142339,
      7.7596979537385575,
      7.55380320070608,
      7.353939571039023,
      7.15972021527201,
      6.9706707850616185,
      6.786274233073219,
      6.60600199878225,
      6.429339968430494,
      6.255804448532532,
      6.084951040359125,
      5.916394346109731,
      5.74981693091132,
      5.584973572940232,
      5.421696267723415,
      5.259892893491521,
      5.099551818876346,
      4.940733886638089,
      4.783561172559901,
      4.62821807066717,
      4.474954995854288,
      4.324072578571746,
      4.175930389313467,
      4.03093148130727,
      3.8894845643151834,
      3.7519874111590372,
      3.618814498286169,
      3.4903094187545203,
      3.3667739436163804,
      3.2484571848067625,
      3.135551845876479,
      3.0281928228764095,
      2.9264526190455897,
      2.830334278761316,
      2.739775295603472,
      2.6546606224743114,
      2.5748289142943137,
      2.500064340837182,
      2.430129505015025,
      2.3647748985834105,
      2.303720703932871,
      2.2466551017229794,
      2.193243086088581,
      2.143104384517681,
      2.095861947986976,
      2.051169847003064,
      2.008704044696949,
      1.9681740230205764,
      1.929330993108401,
      1.891977753678847,
      1.855958897505863,
      1.8211469833546403,
      1.7874310859548508,
      1.7547196951386574,
      1.7229393885349553,
      1.6920296562507904,
      1.6619395384238862,
      1.6326252285969467,
      1.6040483577796854,
      1.5761740448721748,
      1.5489682072357038,
      1.5224000168535643,
      1.4964420170797286,
      1.4710693696575716,
      1.4462593192544972,
      1.4219908091368816,
      1.3982442010704326,
      1.3750011802655002,
      1.352245682311571,
      1.3299631386640518,
      1.3081392173151178,
      1.286759885052928,
      1.2658114979608126,
      1.2452808539642657,
      1.2251552199428748,
      1.205422340723674,
      1.1860704374553592,
      1.1670881990784332,
      1.1484647693643817,
      1.1301898763748597,
      1.1122552092297806,
      1.0946542652081903,
      1.0773805462491157,
      1.0604270475792472,
      1.0437863853098914,
      1.0274510199587958,
      1.0114135863697102,
      0.995668368484795,
      0.9802101530675537,
      0.9650331320970157,
      0.9501311851098533,
      0.9354980614509751,
      0.9211274994038317,
      0.9070133023310215,
      0.8931493867993605,
      0.879529812068077,
      0.8661487961095488,
      0.8530007246243116,
      0.8400801531850631,
      0.8273818068974583,
      0.8149005778346803,
      0.8026315204401678,
      0.7905698469657834,
      0.7787109219550469,
      0.7670502566302296,
      0.7555835032993562,
      0.744306449843922,
      0.7332150141906866,
      0.7223052394054141,
      0.7115732886691499,
      0.7010154398022149,
      0.6906280813860518,
      0.6804077081342357,
      0.6703509166949077,
      0.6604544016141591,
      0.6507149518000942,
      0.6411294294614219,
      0.6316947270454669,
      0.6224078332901928,
      0.6132658407027834,
      0.6042659347274854,
      0.5954053856828282,
      0.5866815428397683,
      0.5780918292516254,
      0.5696337375766173,
      0.5613048267533246,
      0.553102719340459,
      0.5450250983389955,
      0.5370695678084612,
      0.5292333128110339,
      0.5215136578336919,
      0.5139081687791552,
      0.5064145894045616,
      0.49903079831972763,
      0.49175477939956747,
      0.48458460100334044,
      0.47751840150450914,
      0.4705543790630327,
      0.46369078465229113,
      0.4569259167016926,
      0.45025811689067624,
      0.4436857672694115,
      0.43720728791732577,
      0.4308211348118622,
      0.424525798366754,
      0.4183198019821812,
      0.41220170094209485,
      0.4061700810255584,
      0.4002235578029829,
      0.39436084485372247,
      0.38858094861546866,
      0.3828828793781634,
      0.3772655963640042,
      0.37172800673683987,
      0.36626897848368645,
      0.3608873611744257,
      0.35558199946893954,
      0.35035174222282234,
      0.3451954475025966,
      0.34011231045325613,
      0.3351015206106287,
      0.3301621739219376,
      0.32529348070448466,
      0.32049470881116093,
      0.3157650166475833,
      0.31110349608111554,
      0.30650920059984005,
      0.30198116400975866,
      0.29751841294775516,
      0.2931199750141689,
      0.2887849113723799,
      0.28451239070014833,
      0.28030159069216304,
      0.276151661859472,
      0.2720617372747269,
      0.268030943342688,
      0.2640584068835794,
      0.2601432602238392,
      0.2562848619452612,
      0.25248280356021696,
      0.24873655990510132,
      0.2450455003036146,
      0.24140892789425453,
      0.23782610591288844,
      0.23429627547002407,
      0.23081866732023476,
      0.22739250954006743,
      0.22401703261955322,
      0.2206914729808335,
      0.21741507520554806,
      0.21418708332897754,
      0.21100667568020978,
      0.20787302629068563,
      0.2047853574281508,
      0.20174292727317442,
      0.19874502174754544,
      0.195790949123879,
      0.19288003590909128,
      0.19001162417732956,
      0.1871850699617496,
      0.18439974180913846,
      0.18165501984938676,
      0.17895029519833058,
      0.1762849692729072,
      0.1736584535001436,
      0.17107016915859735,
      0.1685195466716717,
      0.16600602570602285,
      0.16352905491103317,
      0.1610880916497666,
      0.15868260168831894,
      0.15631205944154525,
      0.15397594746517074,
      0.15167375642815362,
      0.14940498494758758,
      0.1471691393881155,
      0.14496573382883288,
      0.14279428986748177,
      0.1406543364713227,
      0.1385454098744104,
      0.13646705345741866,
      0.13441881750850745,
      0.13240025930964033,
      0.13041094290663227,
      0.12845043901379266,
      0.12651832483669914,
      0.12461418411220829,
      0.12273760690125292,
      0.1208881894262311,
      0.11906553404874351,
      0.11726924917110984,
      0.11549894902305308,
      0.11375425367704603,
      0.11203478904405137,
      0.1103401866397199,
      0.10867008346473428,
      0.10702412195953695,
      0.10540194992637994,
      0.10380322048148928,
      0.10222759188498214,
      0.10067472756596432,
      0.09914429594860455,
      0.09763597041580609,
      0.09614942927690907,
      0.09468435559950313,
      0.09324043705720687,
      0.09181736599060562,
      0.09041483940124749,
      0.08903255875195812,
      0.08767022994801335,
      0.08632756308547568,
      0.08500427271683436,
      0.08370007756908344,
      0.08241470043889146,
      0.0811478682353602,
      0.07989931213614333,
      0.07866876710345588,
      0.07745597198930637,
      0.07626066948892236,
      0.07508260609869773,
      0.07392153205255503,
      0.07277720119551698,
      0.07164937105454255,
      0.07053780265903468,
      0.06944226051694584,
      0.06836251277540772,
      0.06729833082808638,
      0.06624948943419198,
      0.06521576661098341,
      0.06419694365283787,
      0.0631928050954275,
      0.06220313854237644,
      0.06122773475776999,
      0.06026638758568119,
      0.05931889383029569,
      0.058385053197978695,
      0.0574646684534624,
      0.056557545193238495,
      0.05566349175972239,
      0.05478231929289074,
      0.053913841846673784,
      0.05305787609919165,
      0.052214241368968246,
      0.05138275961549354,
      0.05056325529697423,
      0.049755555498328594,
      0.048959489875014923,
      0.04817489045084799,
      0.0474015917045853,
      0.0466394305796741,
      0.0458882464750764,
      0.04514788093028994,
      0.04441817785291941,
      0.04369898348487952,
      0.04299014623107947,
      0.0422915166650109,
      0.04160294750099396,
      0.04092429370231402,
      0.04025541226342612,
      0.03959616229609786,
      0.03894640490389615,
      0.03830600314083712,
      0.03767482214916186,
      0.03705272909830197,
      0.03643959307133835,
      0.03583528481239641,
      0.035239677126211906,
      0.03465264453133872,
      0.03407406343281739,
      0.033503811986359586,
      0.03294177021488617,
      0.03238781988372302,
      0.03184184434126494,
      0.031303728664943346,
      0.030773359590869933,
      0.03025062561229619,
      0.029735416658611093,
      0.029227624269823095,
      0.028727141586185244,
      0.02823386338855281,
      0.027747685890938192,
      0.02726850680562041,
      0.026796225216651603,
      0.026330741764338965,
      0.025871958568361535,
      0.025419779175810647,
      0.02497410841931884,
      0.02453485259825874,
      0.024101919296608428,
      0.023675217454025586,
      0.023254657378374868,
      0.022840150623824107,
      0.02243160998826944,
      0.02202894961723269,
      0.02163208476948093,
      0.021240932057998888,
      0.020855409072436458,
      0.020475434864462398,
      0.02010092949705766,
      0.01973181425314023,
      0.01936801158172398,
      0.019009444965993678,
      0.018656038979810496,
      0.018307719316534504,
      0.01796441272702709,
      0.017626047063367747,
      0.017292551257098276,
      0.016963855167932706,
      0.016639889671479134,
      0.016320586629924753,
      0.01600587896239565,
      0.01569570050282804,
      0.015389986084116597,
      0.015088671403471626,
      0.014791693113856924,
      0.014498988849291444,
      0.014210497056633974,
      0.0139261571423376,
      0.013645909368479524,
      0.013369694669197768,
      0.013097455042819211,
      0.012829133330574198,
      0.01256467314516139,
      0.012304018872360064,
      0.012047115739110095,
      0.011793909834013372,
      0.011544347895819373,
      0.011298377391082935,
      0.011055946619567672,
      0.010817004700814896,
      0.01058150142773138,
      0.010349387254268955,
      0.010120613437346743,
      0.009895131826424246,
      0.009672895209301842,
      0.009453856852932102,
      0.009237970682888662,
      0.009025191318961024,
      0.008815474081429414,
      0.008608774834992103,
      0.00840505104925863,
      0.008204262548321344,
      0.008006369139126899,
      0.0078113305177134,
      0.007619106359148847,
      0.007429656636483173,
      0.007242941711532544,
      0.007058922465538609,
      0.006877560190412903,
      0.006698816589306809,
      0.006522653931639967,
      0.0063490351025395075,
      0.006177923285013374,
      0.006009282369218106,
      0.005843076734229796,
      0.005679271222691072,
      0.005517831085633635,
      0.0053587222405720985,
      0.005201911003883717,
      0.0050473643279102375,
      0.0048950493782913595,
      0.004744933933393731,
      0.004596986219412173,
      0.00445117493210124,
      0.004307469209264997,
      0.004165838681423981,
      0.004026253390702608,
      0.0038886837878617697,
      0.003753100736965324,
      0.0036194755667609247,
      0.0034877800341396752,
      0.00335798630877095,
      0.0032300668830540667,
      0.0031039946167979527,
      0.002979742840468799,
      0.0028572853396684143,
      0.0027365962203041985,
      0.0026176498961552864,
      0.0025004211791697932,
      0.002384885339728399,
      0.002271017882211303,
      0.0021587947033811557,
      0.002048192124963737,
      0.0019391866606634574,
      0.0018317553312251229,
      0.0017258752496673241,
      0.0016215240849546911,
      0.0015186798726250302,
      0.0014173208265847526,
      0.0013174254636283756,
      0.001218972633629209,
      0.0011219414682688109,
      0.0010263115471298625,
      0.0009320625440572941,
      0.0008391744909770029,
      0.0007476277820658015,
      0.0006574030204349919,
      0.0005684811520272089,
      0.00048084333972585097,
      0.00039447108047908474,
      0.0003093460370626779,
      0.00022545023331410423,
      0.00014276586912042634,
      6.127552403275676e-05,
      -1.9038082972592504e-05,
      -9.819193219532973e-05,
      -0.00017620276359540937,
      -0.0002530871044156123,
      -0.00032886117485862216,
      -0.000403541015442915,
      -0.0004771424546203507,
      -0.0005496810436766749,
      -0.0006211721558747274,
      -0.0006916308752030509,
      -0.0007610721444977989,
      -0.0008295106460234766,
      -0.0008969609037900732,
      -0.0009634371049679073,
      -0.0010289535057679772,
      -0.0010935237999901517,
      -0.0011571616375476161,
      -0.0012198805633430714,
      -0.0012816937840654968,
      -0.001342614411399303,
      -0.0014026552902724303,
      -0.0014618291576963308,
      -0.0015201485400787402,
      -0.001577625789667273,
      -0.0016342730567208063,
      -0.0016901023689690395,
      -0.0017451253990866862
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566821173666119,
      10.336763084402666,
      10.098877841164134,
      9.85619649423461,
      9.611172916139527,
      9.36592981624324,
      9.122318534059518,
      8.881873836729932,
      8.64580408602703,
      8.415023298176655,
      8.19015749912521,
      7.9715614619489665,
      7.759347405072105,
      7.553421920102962,
      7.35352788436944,
      7.159278101792895,
      6.97019809610466,
      6.78577080639137,
      6.605467700461862,
      6.428774785340047,
      6.255208689542332,
      6.084325224915651,
      5.915739160157217,
      5.749133330245391,
      5.584262803264817,
      5.420959878272465,
      5.259132774126035,
      5.098770239173714,
      4.939933423529363,
      4.782744604079611,
      4.627388571555463,
      4.474116107221109,
      4.3232283550749555,
      4.175085593291979,
      4.03009087540411,
      3.8886528017500406,
      3.7511689332208413,
      3.6180134887165116,
      3.489529830297063,
      3.3660192936779807,
      3.247730475030498,
      3.134855537409817,
      3.0275288290829,
      2.925822145599604,
      2.8297377344867636,
      2.7392123334172744,
      2.65413043176105,
      2.574330021755529,
      2.499594565092916,
      2.429686611398615,
      2.3643564962962627,
      2.3033241135112723,
      2.246277452859029,
      2.192881279036134,
      2.1427549585694563,
      2.0955217134265136,
      2.0508358972105785,
      2.0083738091314793,
      1.9678453911545488,
      1.9290023401022194,
      1.8916478950667872,
      1.8556269660762954,
      1.8208123290133362,
      1.7870932278076372,
      1.7543782979984994,
      1.722594238519362,
      1.691680626471264,
      1.6615865643824155,
      1.6322682898378058,
      1.6036874650201642,
      1.5758092418926772,
      1.548599569180585,
      1.5220276202333998,
      1.4960659394640217,
      1.4706896886930283,
      1.445876112482594,
      1.4216041536425754,
      1.3978541737736276,
      1.3746078673472037,
      1.3518492102468507,
      1.329563627489611,
      1.307736771116949,
      1.2863545963578973,
      1.2654034512282155,
      1.2448701281749817,
      1.224741889318409,
      1.205006475607376,
      1.1856521056593015,
      1.166667466576064,
      1.1480417004810843,
      1.129764547970849,
      1.111827866650431,
      1.0942251629574518,
      1.0769498852051373,
      1.05999498004571,
      1.0433530303325114,
      1.0270164741671883,
      1.0109780526310321,
      0.9952322101378998,
      0.9797736235838572,
      0.9645964121443454,
      0.9496944064343097,
      0.9350613224178946,
      0.9206908762420599,
      0.9065768560997608,
      0.8927131685321049,
      0.8790938656958331,
      0.8657131610517483,
      0.8525654368823089,
      0.8396452466701935,
      0.8269473138778952,
      0.8144665293154207,
      0.8021979468846979,
      0.7901367781912905,
      0.7782783873201061,
      0.7666182845741706,
      0.7551521220647177,
      0.7438756873477999,
      0.7327848980379216,
      0.7218757967634316,
      0.7111445461575433,
      0.7005874238030617,
      0.6902008179375247,
      0.6799812230935898,
      0.6699252353067106,
      0.6600295490350278,
      0.6502909528507107,
      0.6407063067669017,
      0.6312725022642661,
      0.621986528178791,
      0.6128454772568253,
      0.6038465350360508,
      0.5949869719029621,
      0.5862641369093747,
      0.5776754526702507,
      0.5692184115600185,
      0.560890572151517,
      0.5526895565219423,
      0.5446130472194814,
      0.5366586753637791,
      0.5288236648305975,
      0.521105317595769,
      0.5135011841552203,
      0.5060089979918982,
      0.49862663072797037,
      0.4913520610075313,
      0.4841833536670759,
      0.47711864461218484,
      0.4701561305000199,
      0.4632940609418683,
      0.4565307332126015,
      0.44986448818836405,
      0.44329370735779217,
      0.43681681004181866,
      0.4304322517384849,
      0.42413852237505234,
      0.4179341450308426,
      0.4118176744468716,
      0.40578769614082366,
      0.3998428251383731,
      0.3939818393873066,
      0.3882037666909746,
      0.3825075954212006,
      0.3768922673742256,
      0.3713566715207872,
      0.3658996637652226,
      0.36052008524070295,
      0.35521677514632466,
      0.34998857596422334,
      0.34483444335512536,
      0.339753581266435,
      0.33474514000419825,
      0.3298082042529397,
      0.324941988430067,
      0.32014573552201536,
      0.31541858719252464,
      0.31075962393827067,
      0.3061678916003297,
      0.3016424187707286,
      0.29718222871110567,
      0.2927863466555857,
      0.28845384519599226,
      0.28418389626610585,
      0.27997567186751277,
      0.2758283175883348,
      0.2717409628747279,
      0.2677127316707257,
      0.2637427493754723,
      0.2598301472652403,
      0.25597430841151225,
      0.2521748257468803,
      0.24843116413662786,
      0.2447426861261768,
      0.24110869023621417,
      0.2375284366919727,
      0.2340011644874096,
      0.23052610283999803,
      0.22710247882263865,
      0.22372952219544967,
      0.2204064688819245,
      0.21713256316719812,
      0.2139070456075284,
      0.21072908982274993,
      0.20759787246471004,
      0.20451261760246128,
      0.20147258471073332,
      0.1984770605527433,
      0.19552535379202796,
      0.19261679123231,
      0.1897507152776674,
      0.18692648203187145,
      0.18414346014505079,
      0.1814010298187792,
      0.17869858206836164,
      0.1760355184437693,
      0.17341125050919942,
      0.17082519937262342,
      0.16827679547382857,
      0.16576547847195972,
      0.16329069703520985,
      0.16085190860935464,
      0.1584485789539407,
      0.1560801824381043,
      0.15374620166574962,
      0.1514461274090281,
      0.14917945809952218,
      0.14694570016707412,
      0.14474436763747653,
      0.14257498220960732,
      0.14043707280675824,
      0.13833017565173875,
      0.13625383412688552,
      0.13420759859819278,
      0.13219102642503086,
      0.13020368164098745,
      0.12824513493447326,
      0.12631496356638428,
      0.12441275135265155,
      0.1225380882214424,
      0.12069057046350724,
      0.11886980048687307,
      0.11707538670568361,
      0.11530694341548402,
      0.11356409085955702,
      0.11184645488131846,
      0.11015366701470082,
      0.10848536423033173,
      0.10684118912553445,
      0.10522078960481869,
      0.10362381884497417,
      0.10204993506770127,
      0.10049880176178823,
      0.09897008745786928,
      0.09746346551445023,
      0.09597861414245075,
      0.09451521649736735,
      0.0930729603362091,
      0.09165153809768123,
      0.09025064679468697,
      0.08886998792274814,
      0.08750926745990398,
      0.08616819571092044,
      0.08484648719497204,
      0.08354386058911308,
      0.08226003897324136,
      0.08099474930746023,
      0.07974772269667722,
      0.07851869413495884,
      0.0773074024962004,
      0.07611359059916882,
      0.07493700507325969,
      0.07377739617764804,
      0.0726345178594856,
      0.07150812772008328,
      0.07039798681635023,
      0.06930385985656769,
      0.06822551479511682,
      0.06716272316486181,
      0.06611525980812295,
      0.06508290281719624,
      0.064065433601402,
      0.06306263677854092,
      0.062074300087642136,
      0.061100214236791205,
      0.06014017306773595,
      0.059193973461011525,
      0.05826141533880118,
      0.057342301468975,
      0.05643643746393949,
      0.05554363189230496,
      0.05466369599105221,
      0.053796443743803324,
      0.052941691823282705,
      0.05209925965168837,
      0.05126896924265434,
      0.050450645269154125,
      0.04964411493790063,
      0.048849207895345824,
      0.0480657562639437,
      0.047293594605072285,
      0.046532559871988934,
      0.045782491479997314,
      0.045043231137759696,
      0.04431462280203552,
      0.043596512764874536,
      0.04288874953031346,
      0.04219118371835513,
      0.04150366815852823,
      0.04082605784541935,
      0.040158209889753875,
      0.039499983480861235,
      0.03885123975193313,
      0.038211841907398486,
      0.037581655205287015,
      0.03696054670588223,
      0.03634838560301018,
      0.03574504277142147,
      0.03515039104276156,
      0.0345643050818157,
      0.03398666141291493,
      0.03341733824049382,
      0.03285621559741861,
      0.03230317526798461,
      0.031758100730378866,
      0.031220877089919087,
      0.030691391202968255,
      0.03016953151183288,
      0.029655188032180882,
      0.02914825252756329,
      0.028648618169362754,
      0.0281561796281522,
      0.027670833361879324,
      0.02719247708388196,
      0.026721010088312826,
      0.026256333034340183,
      0.025798348111399527,
      0.025346958891851047,
      0.02490207033561257,
      0.024463588742750005,
      0.02403142182584034,
      0.02360547862884708,
      0.02318566940026523,
      0.022771905655261326,
      0.022364100363892237,
      0.021962167699140882,
      0.021566023129148043,
      0.0211755832451573,
      0.020790765881773476,
      0.020411490059310297,
      0.02003767588932463,
      0.019669244573468928,
      0.019306118590967855,
      0.018948221624025628,
      0.0185954782780208,
      0.018247814358694946,
      0.01790515670844056,
      0.017567433219029302,
      0.017234572727025912,
      0.016906505301026283,
      0.016583161846728346,
      0.016264474351555543,
      0.01595037576436453,
      0.01564079998067005,
      0.015335681901827478,
      0.015034957217648628,
      0.014738562758880329,
      0.0144464360333117,
      0.014158515597763495,
      0.013874740969728423,
      0.013595052390289184,
      0.013319391035379786,
      0.013047698886526387,
      0.012779918808834341,
      0.012515994403284292,
      0.012255870135511448,
      0.01199949130863228,
      0.011746803982484575,
      0.011497755003766524,
      0.011252291988455891,
      0.011010363287955474,
      0.01077191796305,
      0.01053690591738285,
      0.0103052775990424,
      0.010076984371724607,
      0.009851978228363388,
      0.009630211749035614,
      0.009411638334963945,
      0.009196212044681264,
      0.008983887585516895,
      0.008774620224954979,
      0.008568365996964,
      0.008365081700820053,
      0.008164726595687625,
      0.00796726098119546,
      0.007772644775811816,
      0.007580837995980224,
      0.0073918009171696115,
      0.007205494070515064,
      0.007021878368026527,
      0.006840915063633766,
      0.006662565938143695,
      0.00648679342282544,
      0.006313560407543745,
      0.0061428301713571986,
      0.005974566601001156,
      0.005808734017463717,
      0.005645297353888013,
      0.005484221960712982,
      0.00532547375594506,
      0.005169019206033386,
      0.005014825155814802,
      0.004862858895791198,
      0.004713088224561205,
      0.004565481455967714,
      0.0044200073074278185,
      0.00427663499344338,
      0.004135334041237579,
      0.003996074603681922,
      0.0038588271766568437,
      0.0037235626677875754,
      0.0035902524667155386,
      0.0034588683455098216,
      0.0033293824560457195,
      0.003201767430569151,
      0.003075996172474693,
      0.002952041998052138,
      0.0028298787484755633,
      0.002709480489154054,
      0.002590821713456907,
      0.0024738773953539416,
      0.0023586226494140897,
      0.0022450331230419876,
      0.00213308476099331,
      0.002022753825228489,
      0.001914016909915034,
      0.0018068509641306785,
      0.0017012333349366846,
      0.0015971416467384892,
      0.0014945538087371723,
      0.0013934480362491864,
      0.001293803051641714,
      0.001195597752684354,
      0.001098811301320112,
      0.001003423220138493,
      0.000909413381877041,
      0.000816761784085142,
      0.0007254488269784662,
      0.0006354551598423443,
      0.0005467617070829137,
      0.00045934957426160285,
      0.0003732003619722754,
      0.00028829580079957996,
      0.00020461793418054172,
      0.000122149035200821,
      4.087163865416258e-05,
      -3.9231450971735965e-05,
      -0.00011817722085709717,
      -0.0001959823319133813,
      -0.00027266336883600295,
      -0.0003482365105509674,
      -0.0004227178166664845,
      -0.0004961229022623624,
      -0.00056846740020398,
      -0.0006397666596381587,
      -0.0007100358572669031,
      -0.0007792898597621419,
      -0.0008475433139724103,
      -0.0009148107107708577,
      -0.0009811062000924776,
      -0.001046443850132614,
      -0.0011108375181598225,
      -0.0011743007521487308,
      -0.0012368470603397637,
      -0.0012984896970257521,
      -0.0013592416892055773,
      -0.0014191159004509324,
      -0.001478125036796885,
      -0.0015362817413106622,
      -0.0015935981600667605,
      -0.0016500864862274472,
      -0.0017057587342909038,
      -0.0017606266217277623
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566818176738222,
      10.336748161241353,
      10.098843562694732,
      9.856137585400505,
      9.611085250294908,
      9.3658104550115,
      9.122165645171984,
      8.881686891871922,
      8.645583355581978,
      8.414769337655926,
      8.189871012916157,
      7.971243172640643,
      7.758997964682724,
      7.5530418480955275,
      7.3531174808562625,
      7.158837324958622,
      6.969726803278382,
      6.785268843301457,
      6.604934940160969,
      6.428211219195308,
      6.2546146306533235,
      6.083701196729161,
      5.915085852272499,
      5.7484517001232724,
      5.583554097769581,
      5.420225646969692,
      5.258374906653094,
      5.097991003932597,
      4.939135394668063,
      4.781930556887264,
      4.6265616767300335,
      4.473279900147344,
      4.322386880931257,
      4.174243600694838,
      4.0292531117657315,
      3.887823905646965,
      3.750353330998331,
      3.617215355365409,
      3.488753108486706,
      3.365267486190325,
      3.247006568676693,
      3.134161978977278,
      3.0268675194210664,
      2.925194279890803,
      2.8291437150018393,
      2.7386518091255434,
      2.6536025899361633,
      2.573833376638507,
      2.4991269392425415,
      2.4292457739361777,
      2.363940061153058,
      2.3029294083853196,
      2.2459016153470865,
      2.192521218183795,
      2.1424072232114293,
      2.095183121867301,
      2.0505035504783207,
      2.0080451314965555,
      1.9675182561043998,
      1.9286751397626196,
      1.8913194573510606,
      1.8552964328495938,
      1.8204790569479434,
      1.7867567411595664,
      1.7540382651772233,
      1.722250448692553,
      1.6913329547887703,
      1.6612349476210886,
      1.6319127079978701,
      1.6033279294185543,
      1.5754457967953674,
      1.5482322895916147,
      1.5216565825045878,
      1.4956912205269863,
      1.4703113663460312,
      1.4454942646457698,
      1.4212188578513845,
      1.3974655069592627,
      1.3742159160233214,
      1.3514541007770644,
      1.329165480319123,
      1.3073356899868478,
      1.285950673762322,
      1.264996771751094,
      1.2444607697035894,
      1.2243299252849793,
      1.2045919767316953,
      1.1852351403780403,
      1.1662481008185421,
      1.1476199983663224,
      1.1293405860898487,
      1.1114018904210003,
      1.0937974263803978,
      1.0765205884845883,
      1.059564275298401,
      1.0429210370557227,
      1.0265832887055035,
      1.0105438779466374,
      0.9947974098399017,
      0.9793384509785397,
      0.9641610477041136,
      0.9492589813722812,
      0.9346259351928713,
      0.9202556025801979,
      0.9061417571287059,
      0.8922782951089173,
      0.8786592618372951,
      0.8652788660147467,
      0.85213148640782,
      0.839211674258243,
      0.8265141518419498,
      0.8140338089069296,
      0.8017656983522303,
      0.7897050309279762,
      0.7778471700993821,
      0.7661876265110629,
      0.7547220517099175,
      0.7434462329659487,
      0.7323560871625522,
      0.7214476565026423,
      0.7107171032599536,
      0.7001607047388756,
      0.6897748488924529,
      0.679556029851639,
      0.6695008435041915,
      0.6596059835654604,
      0.6498682381496657,
      0.6402844647974151,
      0.6308515544548292,
      0.6215664966897451,
      0.6124263842569044,
      0.6034284025817297,
      0.5945698219881874,
      0.5858479912529996,
      0.5772603328268563,
      0.5688043385644198,
      0.5604775666896753,
      0.552277638864614,
      0.544202237530397,
      0.5362490208043451,
      0.5284152513648953,
      0.5206982084875296,
      0.5130954274788541,
      0.5056046312051442,
      0.49822368411000534,
      0.49095056015171396,
      0.4837833204768028,
      0.4767200986098804,
      0.4697590894103693,
      0.462898541085906,
      0.456136749764372,
      0.44947205562705744,
      0.44290283935235436,
      0.4364275199136557,
      0.43004455223141796,
      0.4237524258515227,
      0.4175496632551354,
      0.41143481882067034,
      0.40540647762722304,
      0.3994632544098931,
      0.3936040027352056,
      0.3878277562590534,
      0.3821334848480439,
      0.3765201112644231,
      0.3709865070623263,
      0.3655315163496463,
      0.36015397248555214,
      0.3548527091815927,
      0.34962656210922355,
      0.3444745852775962,
      0.3393959918578899,
      0.3343898929406391,
      0.329455362407107,
      0.32459161829452937,
      0.3197978784208103,
      0.31507326772222316,
      0.31041685536328506,
      0.30582767965152946,
      0.3013047641289136,
      0.2968471284001831,
      0.29245379536882904,
      0.28812385075668445,
      0.283856468316606,
      0.27965081378646256,
      0.27550602774202415,
      0.27142123649587263,
      0.2673955617565659,
      0.26342812725731585,
      0.25951806313109677,
      0.2556647771379018,
      0.25186786363813185,
      0.24812677738038155,
      0.2444408741255582,
      0.24080944783323768,
      0.23723175567231916,
      0.23370703443576585,
      0.23023451192195382,
      0.22681341417741116,
      0.22344297039996797,
      0.22012241611832123,
      0.21685099528553303,
      0.2136279450068516,
      0.2104524341706681,
      0.20732364210368934,
      0.20424079462932343,
      0.20120315239340453,
      0.19821000283936632,
      0.1952606551649138,
      0.19235443653736337,
      0.18949068960487656,
      0.18666877063399923,
      0.183888048266779,
      0.18114790283003832,
      0.1784477255210326,
      0.17578691774644734,
      0.17316489107135152,
      0.17058106655050898,
      0.16803487477638646,
      0.1655257553083522,
      0.16305315680482968,
      0.16061653666364406,
      0.15821536078667164,
      0.1558491035317067,
      0.15351724746427653,
      0.1512192832839808,
      0.14895470962652063,
      0.14672303286835262,
      0.14452376706712755,
      0.14235643378378895,
      0.1402205619385375,
      0.13811568783404155,
      0.1360413549202911,
      0.13399711356732708,
      0.13198252113208367,
      0.12999714155576128,
      0.1280405456173503,
      0.12611231068577217,
      0.12421202058170237,
      0.12233926537609437,
      0.12049364128442869,
      0.11867475071348488,
      0.11688220207963229,
      0.11511560972866822,
      0.1133745939572589,
      0.11165878074809117,
      0.10996780159314035,
      0.10830129352583803,
      0.1066588991965219,
      0.10504026643181612,
      0.10344504840949371,
      0.10187290355140566,
      0.10032349531356022,
      0.09879649231075827,
      0.0972915679371076,
      0.09580840049870602,
      0.0943466731403499,
      0.0929060737188862,
      0.09148629476885355,
      0.09008703330630109,
      0.08870799090863025,
      0.08734887358759724,
      0.08600939166510603,
      0.08468925968949484,
      0.08338819646507382,
      0.08210592506802172,
      0.0808421727311359,
      0.07959667045690301,
      0.07836915330563722,
      0.07715936024297783,
      0.0759670340873734,
      0.07479192149364941,
      0.07363377284199138,
      0.0724923421056019,
      0.07136738691867402,
      0.07025866841937144,
      0.06916595138528665,
      0.06808900396201414,
      0.06702759766524634,
      0.0659815073916107,
      0.06495051143889227,
      0.06393439117293707,
      0.0629329312496878,
      0.06194591936891908,
      0.06097314653246591,
      0.060014406646337094,
      0.059069496642871824,
      0.058138216378473835,
      0.057220368831935466,
      0.056315759684075026,
      0.05542419747101149,
      0.05454549345818379,
      0.05367946177941872,
      0.05282591922073214,
      0.05198468527475768,
      0.051155582027584565,
      0.05033843411538985,
      0.049533068843606816,
      0.04873931597568311,
      0.04795700775700071,
      0.047185978824086316,
      0.04642606618654841,
      0.04567710935457795,
      0.04493895001180505,
      0.04421143219865051,
      0.04349440238101236,
      0.04278770905368533,
      0.0420912029659691,
      0.04140473696720366,
      0.040728166197943776,
      0.040061347758509835,
      0.03940414094480428,
      0.03875640706968448,
      0.03811800933625947,
      0.03748881298266875,
      0.03686868525951661,
      0.03625749528798236,
      0.03565511409370592,
      0.03506141456823274,
      0.03447627139965204,
      0.03389956113715909,
      0.03333116223136782,
      0.03277095474116329,
      0.03221882050505568,
      0.03167464309662875,
      0.031138307786722493,
      0.030609701378430648,
      0.030088712471416246,
      0.029575231115546764,
      0.029069149087703552,
      0.02857035962162232,
      0.028078757594853048,
      0.02759423942343626,
      0.02711670295587665,
      0.026646047455597465,
      0.02618217371589934,
      0.02572498396466549,
      0.025274381774739858,
      0.024830272182732677,
      0.0243925616294442,
      0.02396115785453498,
      0.0235359699682277,
      0.02311690828003201,
      0.022703884475832756,
      0.022296811545702247,
      0.021895603780502336,
      0.02150017661443343,
      0.021110446758397274,
      0.02072633204564969,
      0.020347751491803092,
      0.019974625340149467,
      0.019606875035708078,
      0.019244423000067255,
      0.018887192881124636,
      0.018535109425710038,
      0.018188098515590508,
      0.017846086997867567,
      0.017509002824654226,
      0.0171767750124356,
      0.016849333523087942,
      0.016526609498191614,
      0.016208534912762387,
      0.015895042779620682,
      0.01558606698213305,
      0.015281542428458056,
      0.014981404993672518,
      0.014685591421073875,
      0.01439403950684374,
      0.014106687830487376,
      0.013823475838754852,
      0.013544343919733524,
      0.013269233321808257,
      0.012998085974157093,
      0.012730844901674475,
      0.01246745384234937,
      0.012207857198384674,
      0.011952000295420475,
      0.011699829301519674,
      0.011451291009723079,
      0.011206333081004449,
      0.010964903998095845,
      0.010726952926825047,
      0.010492429733218596,
      0.010261285041163118,
      0.010033470159610466,
      0.009808937196909801,
      0.009587638841120159,
      0.009369528416125806,
      0.009154560067507367,
      0.008942688480809449,
      0.008733869072744238,
      0.008528057854381682,
      0.008325211493909666,
      0.008125288444012484,
      0.007928249116409866,
      0.007734053957851321,
      0.007542663174450191,
      0.007354037135202074,
      0.0071681364326783865,
      0.006984922154722306,
      0.006804355706001055,
      0.006626399114744193,
      0.006451014781898354,
      0.006278165537231687,
      0.006107814817754768,
      0.005939926479687097,
      0.005774465051163974,
      0.0056113953761241404,
      0.005450682934462291,
      0.005292293726858229,
      0.005136194140440542,
      0.004982350950541155,
      0.00483073166736469,
      0.004681304122083124,
      0.004534036614280657,
      0.004388897965566203,
      0.004245857397112239,
      0.0041048845744508095,
      0.003965949577237662,
      0.003829022896537833,
      0.003694075516016508,
      0.0035610788234423213,
      0.003430004644824124,
      0.00330082518480971,
      0.0031735131017679155,
      0.003048041368798596,
      0.0029243833457873215,
      0.0028025128911803835,
      0.0026824041001236,
      0.00256403152101541,
      0.0024473701000625294,
      0.002332395063728841,
      0.0022190820443821918,
      0.0021074069653705097,
      0.0019973461883347607,
      0.0018888763438780457,
      0.0017819745137233971,
      0.001676617987699964,
      0.0015727844228605311,
      0.0014704517939257786,
      0.0013695983385339614,
      0.0012702027328823074,
      0.0011722439059776838,
      0.0010757011667914995,
      0.0009805540150848782,
      0.0008867823344395671,
      0.0007943661350252558,
      0.0007032857933628197,
      0.0006135220451245818,
      0.0005250558204505821,
      0.00043786840458080506,
      0.0003519413133022646,
      0.0002672563223568297,
      0.00018379554845716895,
      0.00010154123276683663,
      2.04759320712735e-05,
      -5.941753712776249e-05,
      -0.00013815608322319132,
      -0.0002157564632763836,
      -0.0002922350814799081,
      -0.00036760823185745566,
      -0.00044189181210773975,
      -0.0005151016344065993,
      -0.0005872531755378879,
      -0.0006583617205279331,
      -0.000728442327133722,
      -0.0007975099485345834,
      -0.0008655792949778399,
      -0.0009326646496709274,
      -0.0009987802303196573,
      -0.0010639401176235502,
      -0.0011281580688883876,
      -0.0011914477055894386,
      -0.0012538224841812378,
      -0.0013152956151829011,
      -0.0013758801662908282,
      -0.0014355889288591552,
      -0.001494434595592546,
      -0.0015524296447488417,
      -0.0016095863447544087,
      -0.0016659168469055515,
      -0.0017214330485744275,
      -0.0017761467353354437
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56681519344151,
      10.336733256282203,
      10.098809339027095,
      9.856078786639042,
      9.610997759852442,
      9.365691340881737,
      9.122013077385986,
      8.88150034602861,
      8.64536310475802,
      8.414515938622571,
      8.18958516990941,
      7.970925609340133,
      7.758649333917467,
      7.5526626683756195,
      7.352708045856121,
      7.158397588367566,
      6.969256625780369,
      6.784768073687793,
      6.604403453559544,
      6.427649011002572,
      6.254022015749128,
      6.083078699471212,
      5.914434163046416,
      5.7477717775119705,
      5.582847190582584,
      5.419493305927165,
      5.2576190197631565,
      5.0972138372945235,
      4.938339519985678,
      4.78111874541979,
      4.625737093812297,
      4.472446075004513,
      4.321547849515475,
      4.173404100569758,
      4.028417878458991,
      3.886997564247893,
      3.7495402951073293,
      3.6164198207850053,
      3.4879790299398197,
      3.364518344611147,
      3.246285331118264,
      3.1334710755388984,
      3.026208835352496,
      2.9245689962476487,
      2.828552222724547,
      2.73809375038359,
      2.653077146850266,
      2.5733390601730983,
      2.498661570703658,
      2.428807119825978,
      2.363525734629579,
      2.302536741733648,
      2.245527752415279,
      2.192163074503201,
      2.1420613556689254,
      2.0948463566153372,
      2.0501729967667632,
      2.0077182192965792,
      1.9671928640800154,
      1.9283496646646119,
      1.8909927304065894,
      1.8549675985961083,
      1.8201474744556583,
      1.7864219385760958,
      1.753699913336269,
      1.7219083367938834,
      1.690986957803625,
      1.6608850018299988,
      1.6315587940060072,
      1.6029700584127697,
      1.5750840129345107,
      1.5478666681977449,
      1.5212872002612332,
      1.495318155266333,
      1.469934696161937,
      1.4451140673486147,
      1.420835211017124,
      1.3970784872482147,
      1.3738256093630168,
      1.3510606333886985,
      1.3287689722843579,
      1.306936245119388,
      1.2855483847566933,
      1.264591722905291,
      1.2440530396551301,
      1.2239195882836456,
      1.2041791033627045,
      1.1848197983440691,
      1.1658303560851142,
      1.14719991524543,
      1.1289182411636356,
      1.110977528079967,
      1.0933713053934384,
      1.0760929077694648,
      1.0591351858869282,
      1.0424906575057256,
      1.0261517156319782,
      1.0101113457636088,
      0.9943642700465077,
      0.9789049493820619,
      0.9637273596794244,
      0.9488252347630703,
      0.9341922260951254,
      0.9198220055599529,
      0.9057083319779315,
      0.8918450918807325,
      0.8782263239153694,
      0.8648462323427564,
      0.8516991931883127,
      0.8387797552599465,
      0.82608263904593,
      0.813602733136295,
      0.801335089888439,
      0.789274919808741,
      0.7774175856421869,
      0.7657585972307688,
      0.754293605885456,
      0.7430183983560091,
      0.7319288915493356,
      0.7210211271068013,
      0.7102912669578832,
      0.6997355881419675,
      0.6893504783405762,
      0.6791324310653879,
      0.6690780418118225,
      0.6591840039928613,
      0.6494471053733137,
      0.6398642009508462,
      0.630432181091722,
      0.621148035871229,
      0.612008858233612,
      0.6030118336215557,
      0.5941542320692914,
      0.5854334021048485,
      0.5768467658612138,
      0.5683918150533206,
      0.5600661075538409,
      0.5518672646585192,
      0.5437929680374735,
      0.5358409031323674,
      0.5280083716986237,
      0.5202926302549535,
      0.5126911987601049,
      0.5052017898646091,
      0.49782226062417007,
      0.49055057987258127,
      0.48338480549159085,
      0.4763230684137558,
      0.4693635615652763,
      0.46250453191852586,
      0.45574427472440154,
      0.4490811292809813,
      0.4425134754972479,
      0.4360397316834049,
      0.42965835234876265,
      0.42336782654372745,
      0.4171666763925974,
      0.4110534558207223,
      0.4050267495057342,
      0.3990851958849444,
      0.39322771160647924,
      0.387453316091846,
      0.3817609625419175,
      0.37614955347112555,
      0.37061794574287293,
      0.3651649735354346,
      0.35978946347379204,
      0.35449024460944895,
      0.34926619252851565,
      0.3441164357262498,
      0.3390401508042046,
      0.33403641757227437,
      0.3291043042987048,
      0.32424303650386627,
      0.3194518093879608,
      0.314729732840076,
      0.31007586586437835,
      0.30548923978808085,
      0.3009688736250429,
      0.2965137838027709,
      0.2921229911170183,
      0.2877955943995566,
      0.28353076920075715,
      0.27932767530249347,
      0.27518544835931236,
      0.27110321125965453,
      0.26708008350308404,
      0.26311518714387655,
      0.25920765147598235,
      0.2553569086672444,
      0.2515625544400623,
      0.24782403358888905,
      0.2441406951629121,
      0.24051182859494877,
      0.2369366879681453,
      0.23341450802310426,
      0.22994451509690947,
      0.22652593428262757,
      0.22315799422548038,
      0.21983992991688284,
      0.21657098482267542,
      0.21335039268323144,
      0.21017731770313078,
      0.2070509419058235,
      0.20397049281489474,
      0.20093523221848658,
      0.1979444483892259,
      0.19499745109375044,
      0.19209356774545586,
      0.1892321411955443,
      0.18641252795927193,
      0.1836340968075837,
      0.1808962279998289,
      0.17819831270950828,
      0.17553975247706383,
      0.1729199588530447,
      0.1703383529702373,
      0.16779436538133333,
      0.16528743562695664,
      0.16281701234182844,
      0.16038255295127804,
      0.15798352339086144,
      0.15561939790499124,
      0.1532896591094911,
      0.15099379766282367,
      0.1487313121883044,
      0.14650170910993224,
      0.14430450248444843,
      0.14213921391814435,
      0.14000537239062155,
      0.13790251416356333,
      0.13583018265270094,
      0.1337879282891194,
      0.13177530842051993,
      0.12979188717534643,
      0.12783723527114957,
      0.1259109300526019,
      0.12401255540992524,
      0.12214170134194477,
      0.12029796416771292,
      0.11848094632538929,
      0.1166902563684489,
      0.11492550861832881,
      0.11318632334472058,
      0.11147232652560536,
      0.10978314961312428,
      0.10811842973699619,
      0.10647780957630167,
      0.10486093713549144,
      0.10326746563289042,
      0.10169705341935967,
      0.10014936413023078,
      0.09862406629533996,
      0.09712083334697112,
      0.09563934373333383,
      0.0941792806931047,
      0.09274033205881012,
      0.09132219043232584,
      0.0899245529057573,
      0.08854712107808246,
      0.08718960095339823,
      0.08585170292787626,
      0.08453314167750385,
      0.08323363611501151,
      0.0819529093389804,
      0.08069068849336905,
      0.07944670470425542,
      0.07822069312682756,
      0.07701239283763087,
      0.07582154671864737,
      0.07464790140919206,
      0.0734912073793989,
      0.0723512186675406,
      0.07122769298323567,
      0.07012039162368053,
      0.06902907938382379,
      0.06795352438361947,
      0.06689349830523239,
      0.06584877609926366,
      0.06481913602712329,
      0.06380435958859625,
      0.06280423147400759,
      0.06181853953757017,
      0.060847074747378105,
      0.059889631092955115,
      0.05894600562169735,
      0.05801599836248407,
      0.05709941220300086,
      0.056196052879854894,
      0.05530572899798589,
      0.05442825213432401,
      0.05356343635730671,
      0.05271109854502748,
      0.05187105814735813,
      0.05104313737145612,
      0.050227161056243315,
      0.04942295644540283,
      0.04863035340569057,
      0.04784918418042351,
      0.04707928352459265,
      0.04632048855056935,
      0.045572638792332594,
      0.04483557609451738,
      0.04410914458987728,
      0.043393190672539994,
      0.0426875630437144,
      0.04199211253361557,
      0.0413066920175992,
      0.04063115665184556,
      0.03996536366614657,
      0.03930917241230325,
      0.03866244428430819,
      0.03802504252207524,
      0.03739683246136025,
      0.03677768139692292,
      0.03616745853624864,
      0.03556603499238352,
      0.034973283841237934,
      0.0343890798046565,
      0.033813299464812874,
      0.033245821336235985,
      0.032686525528478304,
      0.032135293978076254,
      0.0315920102516056,
      0.03105655963195682,
      0.030528829169752223,
      0.030008707410810975,
      0.02949608464153045,
      0.028990852619202596,
      0.028492904715395524,
      0.028002135798155543,
      0.027518442304601206,
      0.027041722154222052,
      0.026571874718715926,
      0.026108800823010113,
      0.025652402726276065,
      0.025202584267944413,
      0.024759250516678415,
      0.024322307901783812,
      0.023891664292500923,
      0.023467228802621795,
      0.023048911823211435,
      0.02263662504077063,
      0.022230281562191045,
      0.021829795695495896,
      0.021435082967726886,
      0.021046060120070653,
      0.020662645029765912,
      0.020284756873867164,
      0.019912315990844223,
      0.019545243727415906,
      0.01918346277322456,
      0.018826896762380824,
      0.01847547050880731,
      0.018129109940694357,
      0.017787741899313654,
      0.01745129445683961,
      0.0171196966723986,
      0.01679287867063379,
      0.016470771526669398,
      0.01615330730775296,
      0.01584041902336051,
      0.015532040667971703,
      0.015228107305808777,
      0.014928554860822493,
      0.01463332019629873,
      0.01434234100722269,
      0.014055555951500594,
      0.0137729045429001,
      0.013494327168464248,
      0.01321976514090287,
      0.012949160519409423,
      0.012682456251410809,
      0.012419596145958719,
      0.012160524761660197,
      0.011905187386313283,
      0.011653530235923758,
      0.01140550032634403,
      0.011161045367283502,
      0.010920113818082442,
      0.010682654869915043,
      0.010448618532872678,
      0.010217955452408948,
      0.00999061704038667,
      0.009766555220613643,
      0.009545722844757564,
      0.009328073348268,
      0.009113560872862952,
      0.008902140245954641,
      0.008693766879584917,
      0.008488396875383006,
      0.008285986922241556,
      0.008086494660751025,
      0.007889880158034102,
      0.007696104287984338,
      0.007505127630221973,
      0.007316910824431476,
      0.007131414631944369,
      0.006948600195250313,
      0.00676842922918912,
      0.006590863545973661,
      0.006415865688182927,
      0.006243398654119832,
      0.006073425848061522,
      0.005905911178592214,
      0.005740819152120138,
      0.005578114745912885,
      0.005417763499909657,
      0.005259731305925393,
      0.005103984839488527,
      0.004950490907155188,
      0.004799216965347233,
      0.004650130858669265,
      0.004503201043999396,
      0.004358396224630005,
      0.004215685660117318,
      0.004075039090158502,
      0.003936426679298675,
      0.0037998190590500126,
      0.0036651872314793148,
      0.0035325025700737723,
      0.0034017368982096857,
      0.003272862435684247,
      0.0031458518105449327,
      0.0030206781743619088,
      0.002897314969628481,
      0.002775735882623388,
      0.002655915128260439,
      0.002537827361567516,
      0.002421447508205337,
      0.0023067508187921836,
      0.0021937129561489504,
      0.0020823098678747227,
      0.0019725179210308722,
      0.001864313936593733,
      0.0017576749457963912,
      0.0016525783543876365,
      0.0015490017459017873,
      0.001446923035175366,
      0.0013463206871016926,
      0.0012471733139821153,
      0.0011494598587646124,
      0.0010531595888261399,
      0.0009582520907285979,
      0.0008647172156392552,
      0.000772535076529373,
      0.0006816861481815129,
      0.0005921511397578625,
      0.0005039109888415784,
      0.00041694706671726326,
      0.0003312409079008226,
      0.00024677429673091675,
      0.00016352932950113106,
      8.148830583894316e-05,
      6.338437976693696e-07,
      -7.905119479057237e-05,
      -0.00015758372702183183,
      -0.0002349805217180221,
      -0.0003112578898070217,
      -0.0003864320984885112,
      -0.00046051916782810645,
      -0.0005335348253420723,
      -0.0006054945298378766,
      -0.0006764134556745974,
      -0.000746306654050805,
      -0.0008151889785216797,
      -0.0008830750606467616,
      -0.0009499792592809886,
      -0.0010159159206180627,
      -0.0010808989252899938,
      -0.001144942125039521,
      -0.0012080590913521644,
      -0.001270263257943488,
      -0.0013315677445062237,
      -0.001391985560802788,
      -0.0014515295687745587,
      -0.001510212348568371,
      -0.001568046432433519,
      -0.0016250440738350505,
      -0.0016812173720437728,
      -0.0017365782814927977,
      -0.001791138544148984
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566812221741477,
      10.336718360371457,
      10.098775149942115,
      9.856020067974766,
      9.610910407033858,
      9.365572432525923,
      9.121860794234056,
      8.8813141697138,
      8.645143312090678,
      8.414263089323862,
      8.189299972566072,
      7.970608787680385,
      7.758301540993371,
      7.552284425269626,
      7.352299594722152,
      7.1579588461963795,
      6.968787467254038,
      6.784268358457071,
      6.603873067205952,
      6.427087956914358,
      6.253430615698913,
      6.082457483939696,
      5.913783827996888,
      5.747093286716629,
      5.582141796253922,
      5.418762560857058,
      5.25686481450557,
      5.0964384394007665,
      4.937545500700318,
      4.780308874539833,
      4.624914533650616,
      4.471614349617834,
      4.320710987395097,
      4.172566830441699,
      4.027584925386195,
      3.8861735430737414,
      3.748729607444709,
      3.6156266494479414,
      3.4872073168571784,
      3.3637715589356674,
      3.2455664282380026,
      3.1327824736210466,
      3.0255524093959227,
      2.923945918833325,
      2.827962878766259,
      2.737537779414306,
      2.6525537293914305,
      2.572846707803999,
      2.4981981063676435,
      2.428370266890635,
      2.3631130736976327,
      2.3021455729786564,
      2.2451552471181944,
      2.1918061744306514,
      2.1417166425491008,
      2.0945106780569716,
      2.049843479441463,
      2.007392308972532,
      1.9668684517443908,
      1.9280251568979923,
      1.8906669657716584,
      1.854639726809062,
      1.8198168583853085,
      1.786088112798911,
      1.7533625515071185,
      1.721567228186155,
      1.6906419778691941,
      1.660536087228356,
      1.6312059250606512,
      1.6026132463353695,
      1.5747233011477728,
      1.5475021312393407,
      1.5209189142368162,
      1.4949461971791826,
      1.4695591433818926,
      1.4447349975243249,
      1.4204527015654225,
      1.3966926145707859,
      1.373436459232015,
      1.3506683313625367,
      1.3283736374261057,
      1.3065379809860307,
      1.2851472832748074,
      1.2641878679065066,
      1.2436465088984532,
      1.2235104552346343,
      1.2037674384230561,
      1.1844056694798792,
      1.1654138291569849,
      1.146781054548853,
      1.1284971309298513,
      1.1105544173975792,
      1.0929464498491335,
      1.0756665027938497,
      1.0587073803420692,
      1.0420615680745555,
      1.0257214370909722,
      1.0096801919374458,
      0.9939325634414868,
      0.9784729168902618,
      0.9632951639195237,
      0.9483929951744846,
      0.9337600327190407,
      0.9193899289376207,
      0.9052764294886573,
      0.8914134120069345,
      0.8777949090014034,
      0.8644151204639361,
      0.8512684195913558,
      0.8383493533784617,
      0.8256526409908576,
      0.8131731701723479,
      0.8009059921841427,
      0.7888463168345612,
      0.7769895066064301,
      0.7653310707667516,
      0.7538666599548873,
      0.7425920606751206,
      0.7315031894947993,
      0.7205960878654628,
      0.7098669173354211,
      0.6993119545395049,
      0.6889275866947048,
      0.6787103071087163,
      0.6686567111713911,
      0.6587634918976997,
      0.6490274364035437,
      0.6394453973262029,
      0.6300142643789346,
      0.620731028172338,
      0.6115927817651835,
      0.6025967106940479,
      0.5937400847534471,
      0.5850202522209468,
      0.5764346349097181,
      0.5679807240866778,
      0.5596560773452833,
      0.5514583155071776,
      0.543385119820029,
      0.5354342031177826,
      0.5276029061989242,
      0.5198884628420393,
      0.5122883775982428,
      0.5048003524346484,
      0.49742223741457436,
      0.4901519965154182,
      0.48298768396044767,
      0.47592742825517453,
      0.4689694205825655,
      0.46211190656463824,
      0.45535318033275257,
      0.4486915802874732,
      0.4421254857562124,
      0.4356533144462041,
      0.4292735203122706,
      0.4229845918923708,
      0.4167850509108121,
      0.41067345094910546,
      0.40464837631522477,
      0.39870850438841615,
      0.39285280656950045,
      0.3870802742415407,
      0.38138984598574005,
      0.3757804045703765,
      0.37025079356950935,
      0.3647998380372691,
      0.3594263584078699,
      0.3541291796351564,
      0.3489072261452893,
      0.3437596967014349,
      0.338685722905741,
      0.3336843549774729,
      0.32875465898148126,
      0.3238958652868838,
      0.3191071472705881,
      0.3143876001676637,
      0.30973627319820357,
      0.3051521909937183,
      0.3006343681061011,
      0.2961818179650683,
      0.29179355930986295,
      0.28746870417091935,
      0.2832064298570048,
      0.27900589000193043,
      0.27486621543834217,
      0.270786525767308,
      0.2667659382884677,
      0.26280357369149954,
      0.25889857292788804,
      0.25505038583086587,
      0.2512585968460173,
      0.24752264296819843,
      0.24384186806209732,
      0.24021555795211394,
      0.23664296420292652,
      0.23312331992438767,
      0.2296558504357088,
      0.2262397799996811,
      0.22287433655013691,
      0.2195587548636427,
      0.21629227829103878,
      0.21307413702049863,
      0.20990349080504758,
      0.20677952415222217,
      0.2037014664418261,
      0.20066858055688974,
      0.1976801556792736,
      0.19473550194505032,
      0.19183394718302813,
      0.18897483436243398,
      0.18615752006043723,
      0.1833813732567615,
      0.1806457742986398,
      0.1779501144408789,
      0.1752937952214887,
      0.17267622806588281,
      0.17009683404850506,
      0.16755504374199204,
      0.1650502968548182,
      0.162582041961679,
      0.1601497365175844,
      0.15775284640474013,
      0.1553908458958822,
      0.15306321755069469,
      0.15076945207718787,
      0.14850904810094387,
      0.14628151203827067,
      0.14408635799778563,
      0.14192310756331253,
      0.13979128979525057,
      0.13769044092889687,
      0.13562010446250347,
      0.13357983079557217,
      0.13156917730762624,
      0.12958770814593382,
      0.1276349941222392,
      0.12571061256662558,
      0.12381414716888096,
      0.12194518803030831,
      0.1201033315891729,
      0.11828818034341886,
      0.11649934286561689,
      0.11473643354471648,
      0.11299907260074052,
      0.11128688597786367,
      0.10959950535183281,
      0.10793656781197283,
      0.10629771613377828,
      0.10468259821745184,
      0.10309086741500706,
      0.10152218211815586,
      0.09997620593595417,
      0.09845260751408895,
      0.09695106047958199,
      0.09547124323678349,
      0.09401283898968674,
      0.0925755356275833,
      0.09115902576700237,
      0.08976300660627232,
      0.08838717982754377,
      0.08703125145742802,
      0.08569493192671915,
      0.08437793609510862,
      0.08307998289679258,
      0.08180079537869972,
      0.08054010073764632,
      0.07929763022568324,
      0.07807311913664025,
      0.0768663066004319,
      0.07567693553396632,
      0.07450475269167847,
      0.07334950844027842,
      0.0722109569378282,
      0.07108885600819602,
      0.06998296701638482,
      0.068893054718266,
      0.06781888741875634,
      0.06676023667483091,
      0.06571687758664141,
      0.06468858855107795,
      0.06367515117375236,
      0.06267635026926412,
      0.06169197364719934,
      0.06072181234824056,
      0.059765660482015065,
      0.058823315123826374,
      0.05789457628925591,
      0.056979247031054524,
      0.05607713321021736,
      0.055188043436196085,
      0.05431178927872245,
      0.05344818501967261,
      0.05259704758044498,
      0.05175819655482659,
      0.050931454159458836,
      0.05011664522931363,
      0.04931359707648965,
      0.048522139638635,
      0.04774210526155616,
      0.046973328761384166,
      0.04621564735616914,
      0.04546890071175362,
      0.044732930669094055,
      0.044007581386883925,
      0.04329269945812558,
      0.042588133549101244,
      0.041893734568350736,
      0.04120935556058213,
      0.040534851853980265,
      0.03987008061180137,
      0.03921490113505932,
      0.03856917496687256,
      0.03793276546790847,
      0.03730553801249105,
      0.036687359937915984,
      0.03607810065419705,
      0.035477631297086344,
      0.03488582492248773,
      0.034302556354710856,
      0.03372770235675608,
      0.03316114149632591,
      0.03260275392940561,
      0.032052421632677054,
      0.03151002827642615,
      0.03097545925723559,
      0.030448601530314562,
      0.029929343721557217,
      0.029417576163142452,
      0.028913190776805976,
      0.02841608100785241,
      0.027926141720497375,
      0.027443269429384097,
      0.02696736223217936,
      0.02649831955761836,
      0.026036042325667648,
      0.02558043288443684,
      0.02513139504816435,
      0.02468883394376109,
      0.02425265602751166,
      0.023822769221741553,
      0.02339908275803011,
      0.02298150722931301,
      0.022569954322560155,
      0.02216433717924266,
      0.021764570157144322,
      0.021370568889540136,
      0.020982250094609967,
      0.020599531854003122,
      0.020222333336362204,
      0.01985057487527161,
      0.01948417798809256,
      0.019123065252952744,
      0.018767160463577154,
      0.018416388515167796,
      0.018070675390120493,
      0.017729948141472173,
      0.017394134804451268,
      0.017063164515186458,
      0.016736967379364642,
      0.016415474516344217,
      0.016098618081798664,
      0.01578633122443006,
      0.015478547957657659,
      0.015175203327101004,
      0.0148762333467848,
      0.01458157487551089,
      0.014291165770297655,
      0.014004944712317034,
      0.013722851291253842,
      0.013444825857358473,
      0.013170809758428655,
      0.012900745236841735,
      0.012634575260375766,
      0.012372243794775617,
      0.012113695412309,
      0.01185887546241569,
      0.011607730283368251,
      0.011360206890313944,
      0.01111625289442931,
      0.010875816780330554,
      0.010638847888261159,
      0.010405296186058262,
      0.010175112433967792,
      0.009948248080406197,
      0.009724655306893336,
      0.009504286916843359,
      0.009287096366585118,
      0.009073037831041872,
      0.008862066182756081,
      0.008654136827659897,
      0.008449205892778462,
      0.008247230149259207,
      0.008048167110261798,
      0.00785197597037733,
      0.0076586177834081495,
      0.007468053464501556,
      0.007280243935979134,
      0.0070951502030081074,
      0.006912733626595231,
      0.006732955937504521,
      0.006555779226010612,
      0.006381166028435623,
      0.0062090792246011,
      0.006039482407537008,
      0.005872339587656179,
      0.0057076153380929105,
      0.005545274668074623,
      0.005385283197654887,
      0.005227606793407002,
      0.005072212013561053,
      0.004919065792267179,
      0.004768135557721082,
      0.004619389358900666,
      0.0044727955811813035,
      0.004328323032050809,
      0.004185941105045975,
      0.004045619474997001,
      0.003907328354456273,
      0.0037710383195190588,
      0.0036367204105231836,
      0.0035043461137416842,
      0.0033738873004862547,
      0.003245316256618173,
      0.003118605675444734,
      0.002993728665091811,
      0.0028706586752077993,
      0.0027493695193017385,
      0.002629835399128065,
      0.002512030969073136,
      0.0023959311667669046,
      0.0022815113243483884,
      0.002168747154606994,
      0.0020576147129279907,
      0.0019480903601452838,
      0.0018401508864972665,
      0.0017337732611446657,
      0.0016289349617803885,
      0.0015256137589604456,
      0.0014237875969743442,
      0.0013234349527351903,
      0.0012245343755019416,
      0.0011270649948518971,
      0.0010310060375575331,
      0.0009363370962042145,
      0.0008430380424683887,
      0.0007510889546436324,
      0.0006604703256469306,
      0.0005711629099437927,
      0.0004831478453607622,
      0.00039640644535223727,
      0.0003109201512121639,
      0.00022667085353492047,
      0.0001436406937773433,
      6.181198800768482e-05,
      -1.8832658158482153e-05,
      -9.831032242906565e-05,
      -0.0001766379728651842,
      -0.0002538321972545976,
      -0.000329909389222364,
      -0.0004048856406470623,
      -0.0004787769068617699,
      -0.0005515990246314812,
      -0.0006233674752274469,
      -0.0006940974645405679,
      -0.0007638040144633108,
      -0.0008325018818861646,
      -0.0009002057121037415,
      -0.000966929848183461,
      -0.0010326883999959,
      -0.0010974953760473649,
      -0.0011613646238490666,
      -0.0012243097317051765,
      -0.0012863440438328707,
      -0.0013474807381940615,
      -0.0014077327511011707,
      -0.0014671128278731143,
      -0.001525633744773082,
      -0.0015833078500771263,
      -0.0016401473417365841,
      -0.0016961642770616137,
      -0.0017513706453810751,
      -0.0018057781862618886
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566809262553653,
      10.3367035140724,
      10.098741068540786,
      9.855961533421677,
      9.610823326074218,
      9.36545389077046,
      9.121708976179999,
      8.881128559253005,
      8.644924187587636,
      8.414011011417625,
      8.18901564748208,
      7.970292939516778,
      7.757954822770795,
      7.551907356716903,
      7.351892417004968,
      7.1575214758256465,
      6.968319779420744,
      6.783770214442353,
      6.603344354853213,
      6.426528681445888,
      6.252841101180307,
      6.081838263491615,
      5.913135597909309,
      5.746417010598387,
      5.581438725735055,
      5.4180342481307,
      5.256113149137975,
      5.095665686219532,
      4.936754227077939,
      4.779501844381139,
      4.624094902598808,
      4.470785634499332,
      4.319877206535734,
      4.171732699394639,
      4.026755155068382,
      3.8853527323703116,
      3.747922141772777,
      3.614836696316209,
      3.486438802815122,
      3.363027938272855,
      3.244850642799709,
      3.132096929436697,
      3.0248989697751405,
      2.923325746369833,
      2.8273763660928823,
      2.736984560074169,
      2.6520329789523904,
      2.5723569342121557,
      2.4977371321778823,
      2.42793580536875,
      2.362702700624551,
      2.301756593644937,
      2.2447848426894743,
      2.191451297345278,
      2.141373886147329,
      2.094176901463212,
      2.0495158198523544,
      2.0070682217680655,
      1.9665458364862651,
      1.927702426017179,
      1.890342961847057,
      1.8543136024068378,
      1.8194879787804628,
      1.7857560178492662,
      1.7530269188899161,
      1.7212278457091201,
      1.6902987197715087,
      1.660188889713684,
      1.6308547677816845,
      1.602258140375397,
      1.574364290694136,
      1.5471392912104538,
      1.5205523208319118,
      1.4945759279152526,
      1.4691852755916994,
      1.4443576083659395,
      1.420071867710274,
      1.3963084125345708,
      1.373048974789728,
      1.3502776903668081,
      1.3279799595726178,
      1.3061413697312068,
      1.2847478305728688,
      1.263785657384501,
      1.2432416186379223,
      1.2231029590897387,
      1.2033574070948074,
      1.1839931709374751,
      1.164998929219805,
      1.146363817372253,
      1.1280777103372297,
      1.110133095364929,
      1.0925234465063292,
      1.0752419896832777,
      1.0582814899996484,
      1.0416344063043543,
      1.0252930911308653,
      1.0092509699220613,
      0.9935027837674273,
      0.9780428043171016,
      0.9628648796311955,
      0.9479626574607358,
      0.9333297314114264,
      0.9189597344393069,
      0.9048463991095095,
      0.8909835942246346,
      0.8773653462684045,
      0.8639858512260832,
      0.8508394793197305,
      0.8379207756331224,
      0.8252244578584502,
      0.812745412586656,
      0.8004786904874114,
      0.7884195008169939,
      0.7765632054321884,
      0.7649053131922674,
      0.753441474510801,
      0.7421674753028307,
      0.7310792316803296,
      0.7201727849145558,
      0.7094442963843656,
      0.6988900423012091,
      0.6885064095254148,
      0.6782898910647858,
      0.6682370815218085,
      0.658344673617855,
      0.6486094543794668,
      0.6390282738031052,
      0.6295980211510308,
      0.6203156872354991,
      0.6111783652001271,
      0.6021832406434995,
      0.593327583366887,
      0.5846087412358807,
      0.5760241356825737,
      0.5675712577934658,
      0.5592476647935285,
      0.5510509771182188,
      0.5429788758067827,
      0.535029100257115,
      0.5271990311588328,
      0.5194858797364232,
      0.5118871350157334,
      0.5044004885960013,
      0.49702378300025923,
      0.48975497708100085,
      0.4825921214897983,
      0.47553334218764226,
      0.46857682859730704,
      0.4617208250741884,
      0.454963624738271,
      0.44830356514932873,
      0.4417390249063597,
      0.4352684209406268,
      0.42889020668149064,
      0.4226028704367757,
      0.4164049335075152,
      0.4102949489293807,
      0.4042715005907734,
      0.39833332352077633,
      0.3924794187889439,
      0.3867087561761581,
      0.3810202552045433,
      0.3754127804491615,
      0.3698851631494795,
      0.36443622010619015,
      0.3590647659961848,
      0.35376962185174915,
      0.3485497666997796,
      0.343404461744929,
      0.33833279476652306,
      0.3333337867987017,
      0.328406513762383,
      0.32355019510197447,
      0.31876398395618755,
      0.3140469619031688,
      0.3093981691259847,
      0.3048166241871391,
      0.30030133722751373,
      0.29585131886667804,
      0.29146559361459684,
      0.2871432829338512,
      0.2828835584215421,
      0.2786855688541682,
      0.2745484412433533,
      0.2704712925154784,
      0.2664532380350154,
      0.262493397248576,
      0.25859092337966977,
      0.2547452838925578,
      0.2509560515521081,
      0.24722265596182025,
      0.24354443563683884,
      0.23992067286856783,
      0.23635061682826505,
      0.23283349915826204,
      0.22936854394124648,
      0.2259549748230271,
      0.22259201920147406,
      0.21927891130568267,
      0.21601489433106819,
      0.21279919412134707,
      0.20963096726968355,
      0.2065094008132323,
      0.20343372560251982,
      0.2004032057009825,
      0.19741713094203872,
      0.19447481210744066,
      0.19157557737415376,
      0.18871876990285777,
      0.18590374639368873,
      0.18312987585500834,
      0.18039653864393554,
      0.17770312603091185,
      0.17504903961268914,
      0.17243369087123545,
      0.16985650092211207,
      0.16731690034400387,
      0.16481432882824054,
      0.1623482348319986,
      0.15991807583280457,
      0.15752331774150577,
      0.15516343482039574,
      0.1528379096807555,
      0.15054623304843204,
      0.14828790351958906,
      0.1460624275035268,
      0.1438693190978692,
      0.1417080999475622,
      0.1395782989974533,
      0.1374794526289948,
      0.1354111043091439,
      0.13337280447643365,
      0.13136411047933053,
      0.12938458646513423,
      0.1274338032512548,
      0.12551133818444932,
      0.12361677507766611,
      0.12174970411564494,
      0.11990972174206346,
      0.11809643044559585,
      0.11630943872997782,
      0.11454836110316344,
      0.11281281789504607,
      0.11110243500440158,
      0.10941684413478799,
      0.10775568246374147,
      0.10611859269260693,
      0.10450522290461604,
      0.10291522641514783,
      0.10134826181761256,
      0.09980399264584323,
      0.09828208763230904,
      0.0967822203535761,
      0.09530406926801556,
      0.0938473176486433,
      0.09241165355831096,
      0.09099676960568343,
      0.08960236298403625,
      0.08822813545591211,
      0.08687379313740204,
      0.08553904650738106,
      0.08422361032078937,
      0.08292720369585288,
      0.08164954978711104,
      0.08039037581339901,
      0.07914941305204325,
      0.07792639682549052,
      0.07672106630191425,
      0.07553316452885121,
      0.07436243833156725,
      0.07320863824052874,
      0.07207151844521352,
      0.07095083673236714,
      0.06984635452940861,
      0.06875783676728696,
      0.06768505169852691,
      0.06662777109346517,
      0.06558577009922192,
      0.06455882711751232,
      0.06354672379292835,
      0.06254924489228829,
      0.061566178424589134,
      0.06059731550231283,
      0.05964245033853576,
      0.05870138004557357,
      0.05777390480673069,
      0.056859827642925145,
      0.05595895442539385,
      0.05507109397509508,
      0.054196057842472986,
      0.0533336603965173,
      0.05248371862192227,
      0.051646052231780294,
      0.05082048345928293,
      0.050006837145663986,
      0.049204940850208594,
      0.04841462449042419,
      0.04763572050020926,
      0.046868063809329084,
      0.04611149174407995,
      0.04536584390450211,
      0.04463096227320831,
      0.043906691107311255,
      0.04319287692811754,
      0.042489368528915133,
      0.041796016950087285,
      0.041112675329256596,
      0.040439198927902376,
      0.03977544510554102,
      0.03912127334693494,
      0.03847654516639453,
      0.0378411239661446,
      0.03721487528363962,
      0.036597666572822034,
      0.03598936705031195,
      0.03538984795842605,
      0.034798982527698794,
      0.03421664571766853,
      0.03364271422237642,
      0.03307706664760346,
      0.03251958335857116,
      0.03197014645504714,
      0.03142863960692301,
      0.030894948220295478,
      0.030368959419445656,
      0.029850561952552333,
      0.029339646138974797,
      0.02883610389875157,
      0.028339828743809147,
      0.027850715711523182,
      0.027368661399895033,
      0.02689356387513791,
      0.026425322629162383,
      0.02596383867024603,
      0.025509014447636064,
      0.025060753826089736,
      0.02461896202169913,
      0.02418354560006713,
      0.02375441257509347,
      0.023331472099898116,
      0.022914634817420967,
      0.022503812688922993,
      0.02209891882739962,
      0.021699867666497945,
      0.021306574867178896,
      0.020918957222834506,
      0.020536932689868986,
      0.02016042063899561,
      0.019789341615636752,
      0.019423617156008478,
      0.019063169874241954,
      0.018707923630123004,
      0.01835780342775334,
      0.018012735172867354,
      0.017672645961314886,
      0.017337463939605512,
      0.017007118303486893,
      0.016681539281272275,
      0.016360657962074338,
      0.01604440660469969,
      0.015732718327475432,
      0.015425527361503854,
      0.015122768761008923,
      0.014824378511439688,
      0.014530293628280561,
      0.014240451980057443,
      0.013954792248348002,
      0.013673254177302406,
      0.01339577828649024,
      0.013122305949189542,
      0.01285277934080201,
      0.01258714161913353,
      0.012325336561430719,
      0.012067308916697817,
      0.011813004137777758,
      0.011562368517554013,
      0.011315349060892398,
      0.01107189365849541,
      0.01083195079493759,
      0.010595469878676274,
      0.010362400852690775,
      0.010132694501450294,
      0.009906302397794256,
      0.009683176674905595,
      0.009463270124581901,
      0.009246536457675378,
      0.009032929721236373,
      0.008822404869139256,
      0.008614917477199632,
      0.008410423702435164,
      0.008208880250818599,
      0.00801024464031234,
      0.007814475294535706,
      0.007621533084521774,
      0.007431379483265362,
      0.007243975676658484,
      0.0070592828947958625,
      0.006877262641423252,
      0.006697876619116129,
      0.006521087062531625,
      0.006346856570975876,
      0.006175148292550231,
      0.006005925747627936,
      0.0058391529911161035,
      0.005674794611153817,
      0.00551281578115847,
      0.00535318200203645,
      0.005195859304218532,
      0.005040814279583767,
      0.004888013937513896,
      0.004737425791861594,
      0.004589017765174542,
      0.004442758374507642,
      0.004298616467859592,
      0.004156561388243337,
      0.004016562974036508,
      0.003878591383563542,
      0.003742617219548392,
      0.0036086116237331704,
      0.003476546112684548,
      0.0033463926948644907,
      0.0032181236082046965,
      0.0030917115928857566,
      0.002967129701457528,
      0.0028443513966989863,
      0.00272335066381323,
      0.00260410176824908,
      0.0024865793010029605,
      0.0023707582379008793,
      0.0022566139749880293,
      0.0021441222637357594,
      0.0020332592494098473,
      0.0019240012756881106,
      0.0018163250843892032,
      0.0017102077751202458,
      0.0016056267470719431,
      0.0015025596867144267,
      0.001400984810943643,
      0.0013008804889675738,
      0.0012022254881234376,
      0.0011049987061377805,
      0.0010091795971176698,
      0.000914747760078041,
      0.0008216831261436955,
      0.0007299658351795577,
      0.0006395764121953865,
      0.0005504956337678173,
      0.0004627044588365216,
      0.000376184291143297,
      0.00029091667710218677,
      0.00020688352613708685,
      0.00012406698239927953,
      4.244939907547266e-05,
      -3.798644452875843e-05,
      -0.00011725782429092182,
      -0.0001953814834250835,
      -0.0002723741440092676,
      -0.000348252165195196,
      -0.00042303167763807216,
      -0.0004967285703271824,
      -0.0005693584893730736,
      -0.0006409369375812336,
      -0.0007114790682502165,
      -0.00078099996079296,
      -0.0008495143556922219,
      -0.0009170368013181152,
      -0.0009835816155728259,
      -0.0010491630250245077,
      -0.0011137950104841677,
      -0.0011774913304838134,
      -0.0012402655114023475,
      -0.0013021308371171255,
      -0.0013631005218227522,
      -0.0014231875967507248,
      -0.0014824047066727263,
      -0.001540764522334614,
      -0.0015982794020073278,
      -0.001654961618332088,
      -0.0017108231708404084,
      -0.0017658759860098312,
      -0.0018201317474966549
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566806316284934,
      10.336688686271168,
      10.098707044429219,
      9.855903116459935,
      9.610736435292154,
      9.365335620320515,
      9.121557519285343,
      8.880943406673726,
      8.644705621890372,
      8.413759595356074,
      8.188732089827251,
      7.969977964874919,
      7.757609084612998,
      7.551531375168296,
      7.351486434487234,
      7.157085409475972,
      6.967853503274156,
      6.783273589406301,
      6.6028172677810275,
      6.4259711382261715,
      6.252253425502795,
      6.081220987729621,
      5.912489420212226,
      5.745742895691709,
      5.580737925954262,
      5.417308315002545,
      5.255363970074415,
      5.09489552365587,
      4.935965644770277,
      4.778697601796592,
      4.62327814938225,
      4.4699598789139,
      4.319046455336953,
      4.170901654502661,
      4.025928513027696,
      3.884535077437065,
      3.747117845133336,
      3.6140499102232577,
      3.4856734377889245,
      3.3622874337097177,
      3.2441379260630203,
      3.1314143927723324,
      3.024248464998963,
      2.922708426594879,
      2.8267926324321064,
      2.736434040790014,
      2.651514846427437,
      2.571869695376087,
      2.4972786093502606,
      2.4275037124731385,
      2.3622946151370208,
      2.301369825014664,
      2.2444165780666836,
      2.1910984958400217,
      2.1410331498899873,
      2.093845097254208,
      2.049190092529176,
      2.006746033575357,
      1.9662250924151732,
      1.9273815430990722,
      1.8900207863317517,
      1.853989290269044,
      1.819160897941839,
      1.7854257110557474,
      1.7526930657151443,
      1.7208902351105322,
      1.689957226891769,
      1.659843451253683,
      1.6305053644448029,
      1.601904783368034,
      1.574007024054658,
      1.5467781899394812,
      1.5201874612334225,
      1.4942073867638017,
      1.4688131304564023,
      1.4439819370047509,
      1.4196927473975638,
      1.395925920082664,
      1.3726632061323,
      1.3498887756648246,
      1.3275880134702678,
      1.3057464924582443,
      1.2843501120652503,
      1.2633851797933546,
      1.2428384590045887,
      1.2226971903031822,
      1.2029490987575553,
      1.1835823903418057,
      1.1645857418739136,
      1.1459482875840319,
      1.1276599914238956,
      1.1097134694564528,
      1.0921021335773107,
      1.0748191606052404,
      1.0578572771862043,
      1.0412089157791313,
      1.0248664107919967,
      1.0088234081383538,
      0.9930746593537335,
      0.977614341564425,
      0.9624362394847115,
      0.9475339585031209,
      0.9329010632291974,
      0.9185311671584376,
      0.9044179898284181,
      0.890555391120087,
      0.8769373918061696,
      0.863558183719566,
      0.8504121343657981,
      0.837493786614614,
      0.8247978568875038,
      0.8123192308234887,
      0.8000529582417821,
      0.7879942477897421,
      0.7761384609435751,
      0.7644811062723323,
      0.753017833571005,
      0.7417444286609808,
      0.7306568074390889,
      0.7197510106264285,
      0.7090231988580246,
      0.6984696479304815,
      0.6880867445569767,
      0.6778709810931782,
      0.667818951965784,
      0.6579273497808205,
      0.6481929611194001,
      0.6386126333355833,
      0.629183255364591,
      0.619901818242128,
      0.6107654154463836,
      0.6017712324552016,
      0.5929165387407405,
      0.5841986818771051,
      0.575615083085354,
      0.5671632332630886,
      0.558840689181395,
      0.5506450708538219,
      0.5425740589734496,
      0.5346253923293633,
      0.5267965051500394,
      0.5190846139363137,
      0.5114871876301397,
      0.5040019040038674,
      0.49662659617859944,
      0.48935921654288916,
      0.48219781133034556,
      0.47514050334675945,
      0.4681854795721122,
      0.4613309826691241,
      0.45457530465171647,
      0.44791678211952246,
      0.4413537928997688,
      0.43488475333329424,
      0.42850811630685565,
      0.42222236955076964,
      0.4160260337725945,
      0.40991766172376687,
      0.4038958368032955,
      0.397959369080987,
      0.3921072652570628,
      0.38633847671492955,
      0.38065190440633445,
      0.37504639575081233,
      0.36952077027701113,
      0.36407383674336113,
      0.35870440465785036,
      0.35341129131014243,
      0.348193576729928,
      0.3430505218172846,
      0.33798117640106656,
      0.33298453590868005,
      0.32805968835835736,
      0.32320584381761075,
      0.3184221364556039,
      0.313707635058988,
      0.30906137102331904,
      0.3044823570620706,
      0.2999695994777861,
      0.2955221061677598,
      0.29113890737244685,
      0.2868191340594454,
      0.2825619521607973,
      0.2783665057817933,
      0.2742319178409499,
      0.2701573025840405,
      0.2661417737006378,
      0.26218444937454144,
      0.258284494916428,
      0.2544413953626059,
      0.2506547122337703,
      0.24692386726297966,
      0.2432481938991197,
      0.2396269710309761,
      0.23605944541495402,
      0.23254484700077171,
      0.22908239879107814,
      0.22567132355115085,
      0.22231084828566666,
      0.21900020694588826,
      0.2157386423330715,
      0.21252537406591784,
      0.2093595580809033,
      0.20624038375097675,
      0.20316708351118015,
      0.20013892233942665,
      0.19715519067168044,
      0.1942151997089693,
      0.19131827783922029,
      0.18846376854329494,
      0.18565102876057177,
      0.1828794274664137,
      0.18014834513174277,
      0.17745717300678834,
      0.174805312660563,
      0.1721921756280353,
      0.16961718297321998,
      0.16707976518127696,
      0.16457936201043363,
      0.16211542207498733,
      0.1596874026797327,
      0.1572947698039208,
      0.15493699773911768,
      0.1526135690545491,
      0.1503239744764202,
      0.14806771263664567,
      0.1458442899959743,
      0.14365322061744853,
      0.1414940261451977,
      0.13936623553771021,
      0.1372693851212093,
      0.13520301838404059,
      0.13316668586275904,
      0.13115994484482524,
      0.1291823595367639,
      0.12723350076978635,
      0.12531294597965353,
      0.12342027899709113,
      0.1215550901377107,
      0.11971697566296906,
      0.11790553816951949,
      0.11612038620945152,
      0.11436113430496496,
      0.11262740274656233,
      0.11091881763866333,
      0.10923501059505132,
      0.10757561896122375,
      0.10594028541916575,
      0.10432865802310179,
      0.10274039018957078,
      0.10117514046326388,
      0.09963257254829133,
      0.09811235508313415,
      0.09661416173745543,
      0.09513767107793551,
      0.09368256644423156,
      0.09224853589872312,
      0.09083527213503378,
      0.0894424724343,
      0.08806983847175233,
      0.08671707646329033,
      0.08538389700636714,
      0.08407001492343033,
      0.08277514929524198,
      0.08149902339459207,
      0.08024136452679495,
      0.07900190403358726,
      0.07778037734060743,
      0.07657652365933641,
      0.07539008607191781,
      0.07422081146124274,
      0.07306845027960367,
      0.07193275688371768,
      0.0708134892411953,
      0.06971040879671005,
      0.06862328043646389,
      0.06755187261458744,
      0.06649595711739247,
      0.06545530918011627,
      0.0644297072311788,
      0.0634189328965509,
      0.06242277113350554,
      0.06144101016976971,
      0.06047344105400968,
      0.05951985797711667,
      0.05858005819773494,
      0.057653841912490233,
      0.05674101220388798,
      0.05584137509453715,
      0.054954739434047814,
      0.05408091683474559,
      0.0532197216875131,
      0.05237097109932736,
      0.051534484808820405,
      0.05071008524224203,
      0.04989759738255794,
      0.04909684868918146,
      0.04830766920852929,
      0.04752989150979062,
      0.046763350496724004,
      0.0460078835271283,
      0.045263330312804786,
      0.044529532860036664,
      0.0438063356160852,
      0.043093585214614843,
      0.04239113047137664,
      0.04169882238781099,
      0.04101651426502975,
      0.040344061457532755,
      0.039681321354220915,
      0.03902815346906154,
      0.03838441935528034,
      0.037749982629130444,
      0.03712470883308392,
      0.03650846540493511,
      0.03590112179088373,
      0.03530254935657878,
      0.034712621206704874,
      0.0341312124314484,
      0.03355819991166389,
      0.03299346216943795,
      0.032436879666993934,
      0.03188833450226333,
      0.031347710569036104,
      0.030814893335632417,
      0.030289770043598858,
      0.029772229486681765,
      0.02926216198980752,
      0.028759459578634596,
      0.028264015863149458,
      0.027775725920668855,
      0.027294486407523612,
      0.026820195479378042,
      0.026352752813122108,
      0.025892059354342783,
      0.02543801752155411,
      0.024990531327227658,
      0.02454950600860993,
      0.024114848223174785,
      0.023686466039696354,
      0.023264268763011693,
      0.02284816704981148,
      0.02243807276883458,
      0.02203389919041011,
      0.021635560867882694,
      0.021242973494009564,
      0.020856054008280493,
      0.02047472051648647,
      0.02009889231992878,
      0.019728490032052355,
      0.019363435127426946,
      0.019003650486755983,
      0.018649059929317955,
      0.01829958838520082,
      0.01795516200844786,
      0.01761570800859162,
      0.01728115453084126,
      0.016951430794256293,
      0.016626467037050743,
      0.016306194555118107,
      0.015990545578769774,
      0.01567945333170018,
      0.015372852119219675,
      0.015070677032342508,
      0.014772864157936265,
      0.014479350518878043,
      0.014190073979953267,
      0.01390497344931325,
      0.013623988569144662,
      0.013347059930688434,
      0.013074128962014892,
      0.01280513796572212,
      0.012540030019607481,
      0.012278749097253155,
      0.012021239949923363,
      0.011767448093462965,
      0.011517319861901866,
      0.011270802311302345,
      0.011027843342894169,
      0.010788391600683607,
      0.01055239647335313,
      0.010319808080309762,
      0.01009057713330586,
      0.009864655143770544,
      0.009641994436183894,
      0.009422547884672658,
      0.009206269058971683,
      0.008993112271196669,
      0.00878303241569367,
      0.0085759851038964,
      0.008371926540759968,
      0.008170813614076244,
      0.007972603706029202,
      0.0077772549331805545,
      0.007584727368395044,
      0.007394982871931983,
      0.007207983065055863,
      0.00702368937698169,
      0.006842063383093784,
      0.00666306709325045,
      0.006486662859790633,
      0.0063128133570612005,
      0.006141481689303187,
      0.0059726314876399475,
      0.005806226958263739,
      0.005642232671750411,
      0.005480613819402633,
      0.0053213360371704805,
      0.0051643653916282435,
      0.005009668444538447,
      0.004857212261412977,
      0.004706964409464975,
      0.004558892944841589,
      0.004412966325421764,
      0.0042691535352908615,
      0.004127423860801826,
      0.003987747088392813,
      0.0038500935513330423,
      0.0037144339878248116,
      0.003580739515074238,
      0.0034489815288643744,
      0.0033191319345655707,
      0.0031911632278169236,
      0.0030650481956566978,
      0.0029407600387824444,
      0.002818272177367648,
      0.0026975585727438125,
      0.0025785935106634713,
      0.002461351653185081,
      0.002345808079158211,
      0.0022319380908464898,
      0.0021197174350745035,
      0.002009122252651258,
      0.0019001290544984409,
      0.0017927146296045572,
      0.0016868560937924912,
      0.0015825309970563077,
      0.0014797171019095663,
      0.001378392448663284,
      0.0012785353775178253,
      0.0011801247169456873,
      0.0010831395160314048,
      0.0009875591277548948,
      0.0008933632423819575,
      0.0008005317631287424,
      0.000709045026392143,
      0.0006188835273078307,
      0.000530027957591635,
      0.00044245948608864744,
      0.0003561593857957206,
      0.00027110931023419246,
      0.00018729118955706196,
      0.00010468722958784537,
      2.3279848496026768e-05,
      -5.694834789039817e-05,
      -0.00013601446257982322,
      -0.00021393532365123272,
      -0.000290727556619418,
      -0.00036640754170776715,
      -0.0004409912680650909,
      -0.0005144946702996912,
      -0.0005869334173147642,
      -0.0006583228847506857,
      -0.0007286782281802471,
      -0.0007980144807653918,
      -0.0008663463513432706,
      -0.0009336883904509131,
      -0.0010000549521199736,
      -0.0010654601736596423,
      -0.0011299180248516769,
      -0.0011934422166302622,
      -0.0012560462739328502,
      -0.001317743563230891,
      -0.001378547135226032,
      -0.001438469998786826,
      -0.0014975247965258469,
      -0.0015557242425400504,
      -0.0016130807524820734,
      -0.0016696064732552105,
      -0.0017253135025732135,
      -0.0017802135863632914,
      -0.0018343184257763824
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566803383342226,
      10.336673880119578,
      10.098673085730132,
      9.855844829424012,
      9.610649751199647,
      9.365217643271038,
      9.121406450774451,
      8.880758741686439,
      8.64448764567449,
      8.413508869057322,
      8.188449319724707,
      7.969663875575632,
      7.757264329907961,
      7.551156475608617,
      7.351081631662633,
      7.156650621734495,
      6.967388609160142,
      6.782778453209403,
      6.602291779590907,
      6.42541530546876,
      6.2516675730887155,
      6.080605649617409,
      5.911845294551341,
      5.74507094790986,
      5.580039408441801,
      5.4165847787948636,
      5.25461730066209,
      5.0941279801945285,
      4.93517978614773,
      4.77789618131649,
      4.622464308232278,
      4.4691371165509075,
      4.3182187682080855,
      4.1700737321376025,
      4.025105039023335,
      3.883720620992421,
      3.7463167613306387,
      3.6132663351883654,
      3.484911266961606,
      3.361550091211081,
      3.2434283254043166,
      3.130734913753186,
      3.023600947642251,
      2.9220940142298066,
      2.8262117193533465,
      2.735886252113542,
      2.6509993522636504,
      2.5713850022867897,
      2.4968225418314627,
      2.42707398718696,
      2.361888813147734,
      2.300985261118126,
      2.2440504462857227,
      2.190747762689264,
      2.1406944248793063,
      2.0935152545800744,
      2.0488662842273415,
      2.0064257250977624,
      1.96590619419272,
      1.9270624792996882,
      1.8897004081424804,
      1.8536667570671679,
      1.818835580745438,
      1.785097156047732,
      1.7523609551657755,
      1.7205543597195272,
      1.6896174629879268,
      1.6594997366184163,
      1.6301576797327322,
      1.6015531398223477,
      1.5736514656271428,
      1.5464187917715573,
      1.5198243000429859,
      1.493840540109281,
      1.468442676293232,
      1.4436079528209815,
      1.4193153105033092,
      1.395545107271334,
      1.3722791164130965,
      1.3495015412986404,
      1.3271977469681762,
      1.305353292460007,
      1.2839540674044978,
      1.2629863726633406,
      1.2424369656452965,
      1.2222930832770305,
      1.202542447811146,
      1.18317326317563,
      1.1641742045637427,
      1.1455344045010942,
      1.127243916153586,
      1.1092954840398943,
      1.0916824579984268,
      1.0743979661971854,
      1.0574346962571044,
      1.0407850541859542,
      1.0244413571181166,
      1.00839747147648,
      0.9926481569881556,
      0.9771874969996821,
      0.9620092132633855,
      0.9471068685757315,
      0.9324739988252901,
      0.9181041983699254,
      0.9039911736840656,
      0.8901287760961152,
      0.8765110202210449,
      0.8631320939004553,
      0.8499863614209505,
      0.8370683642550122,
      0.8243728174025707,
      0.8118946054490457,
      0.7996287774126551,
      0.7875705412263394,
      0.7757152578789883,
      0.7640584355149823,
      0.7525957236064683,
      0.7413229073103648,
      0.7302359021419614,
      0.7193307485343243,
      0.7086036070193419,
      0.6980507531352799,
      0.6876685730448184,
      0.6774535588860431,
      0.6674023046829178,
      0.6575115024184601,
      0.6477779384053131,
      0.6381984577340154,
      0.6287699484498228,
      0.6194894022133206,
      0.6103539126780213,
      0.6013606651934018,
      0.5925069288675929,
      0.583790051124987,
      0.5752074531165099,
      0.5667566252586893,
      0.5584351240584889,
      0.5502405690171474,
      0.5421706403387452,
      0.5342230764406548,
      0.5263953655053076,
      0.5186847288858862,
      0.5110886152958922,
      0.5036046888405723,
      0.4962307732455815,
      0.4889648143651673,
      0.4818048538931038,
      0.474749011458553,
      0.4677954718560517,
      0.4609424760837893,
      0.45418831474714016,
      0.44753132348689356,
      0.4409698794860148,
      0.4345023985708322,
      0.4281273329318268,
      0.4218431698216128,
      0.4156484295557423,
      0.409541664395418,
      0.40352147288763435,
      0.3975867319849131,
      0.3917364434114984,
      0.38596954032551617,
      0.3802849015788869,
      0.37468135942860065,
      0.36915772323591173,
      0.363712794893326,
      0.35834537912050307,
      0.35305428996700355,
      0.3478387086204436,
      0.3426978959940332,
      0.3376308640270421,
      0.33263658257402895,
      0.32771415194838666,
      0.3228627730126866,
      0.3180815608066361,
      0.3133695712668904,
      0.30872582720920355,
      0.3041493355144571,
      0.29963909847232495,
      0.29519412138770323,
      0.29081344032290796,
      0.28649619649061586,
      0.28224154981976846,
      0.27804863865717594,
      0.2739165822395666,
      0.2698444923005588,
      0.26583148071780005,
      0.2618766645672482,
      0.2579792211973167,
      0.25413865321806517,
      0.25035451060158775,
      0.24662620761717974,
      0.24295307254498347,
      0.2393343806922205,
      0.23576937662746558,
      0.23225728864356845,
      0.22879733863534682,
      0.2253887486377929,
      0.22203074504415113,
      0.21872256147449556,
      0.21546344047298335,
      0.212252595531908,
      0.20908918195369042,
      0.2059723912157261,
      0.20290145729673334,
      0.19987564630174293,
      0.19689424939337968,
      0.19395657808756042,
      0.19106196103170328,
      0.1882097419235224,
      0.18539927772357237,
      0.18262993757536708,
      0.17990110194645142,
      0.17721216221683586,
      0.1745625199761641,
      0.1719515867019023,
      0.16937878353770144,
      0.16684354096242915,
      0.16434529868580153,
      0.16188350516021444,
      0.1594576178404763,
      0.1570671025629997,
      0.15471143374255278,
      0.15239009397459655,
      0.1501025739713398,
      0.14784837232898543,
      0.14562699553931857,
      0.14343795766064799,
      0.14128078034718977,
      0.13915499258179265,
      0.13706013072251358,
      0.13499573827144068,
      0.13296136570280864,
      0.13095657050233864,
      0.12898091676935147,
      0.12703397543076886,
      0.12511532390284177,
      0.1232245459891674,
      0.12136123188731894,
      0.11952497812636328,
      0.11771538730786667,
      0.11593206801855858,
      0.1141746347555819,
      0.11244270792178727,
      0.11073591357214976,
      0.1090538834207058,
      0.1073962548275599,
      0.1057626705625067,
      0.10415277872635556,
      0.10256623279823567,
      0.10100269128694751,
      0.09946181793362512,
      0.09794328147378191,
      0.09644675562621091,
      0.09497191902875536,
      0.093518454961831,
      0.09208605164115104,
      0.09067440179568567,
      0.08928320278970925,
      0.08791215638475168,
      0.08656096875906565,
      0.08522935060598992,
      0.08391701682805645,
      0.0826236864813843,
      0.08134908291934478,
      0.0800929335500385,
      0.07885496979980666,
      0.07763492700755055,
      0.0764325444669932,
      0.07524756543207826,
      0.07407973670397798,
      0.07292880895605304,
      0.07179453655118012,
      0.07067667739774657,
      0.06957499307293845,
      0.06848924867310559,
      0.06741921265815409,
      0.06636465693028452,
      0.06532535670304145,
      0.06430109045876202,
      0.06329163998152743,
      0.06229679030692596,
      0.0613163295120207,
      0.060350048802803036,
      0.059397742485927864,
      0.05845920793297217,
      0.057534245346203126,
      0.0566226579225165,
      0.0557242518381733,
      0.054838835913502054,
      0.053966221790220065,
      0.053106224055703,
      0.052258659805506744,
      0.051423348788143045,
      0.05060011355344036,
      0.04978877910844131,
      0.048989173028626064,
      0.048201125463361444,
      0.04742446905025201,
      0.04665903875548073,
      0.04590467200959835,
      0.0451612086679795,
      0.04442849083422632,
      0.043706362959540196,
      0.04299467166093239,
      0.04229326590455518,
      0.04160199685417351,
      0.04092071774067814,
      0.04024928393054184,
      0.03958755298313495,
      0.03893538453522924,
      0.0382926402665673,
      0.037659183793750474,
      0.03703488061594998,
      0.03641959836078952,
      0.03581320652264745,
      0.03521557651071474,
      0.034626581583364714,
      0.03404609689760246,
      0.03347399937528641,
      0.03291016763643953,
      0.03235448211395419,
      0.03180682504818176,
      0.03126708033260155,
      0.030735133540685213,
      0.03021087193392436,
      0.02969418442561206,
      0.02918496149011668,
      0.028683095148765277,
      0.02818847903767029,
      0.027701008322725443,
      0.027220579766991493,
      0.02674709154346663,
      0.026280443365029178,
      0.025820536333831124,
      0.025367273038142547,
      0.024920557457566186,
      0.024480294848270568,
      0.024046392021202453,
      0.02361875707286353,
      0.023197299362916927,
      0.022781929598368177,
      0.02237255980223978,
      0.021969103229872812,
      0.021571474525662927,
      0.02117958949707804,
      0.020793365007447495,
      0.020412719337786506,
      0.02003757188556672,
      0.019667843129184567,
      0.019303454831690468,
      0.01894432979782262,
      0.018590391991817206,
      0.018241566506455482,
      0.017897779371250627,
      0.01755895782286371,
      0.017225030127703357,
      0.016895925561834103,
      0.016571574477439018,
      0.01625190821411653,
      0.015936859097114457,
      0.015626360413879936,
      0.01532034640049425,
      0.015018752263951973,
      0.014721514061621373,
      0.014428568914987235,
      0.014139854845823452,
      0.013855310717651954,
      0.013574876314220425,
      0.013298492300582663,
      0.013026100002966194,
      0.012757641840495593,
      0.012493061029243456,
      0.01223230151873457,
      0.011975308147426865,
      0.011722026521536864,
      0.011472403050094414,
      0.011226384842858173,
      0.010983919814484662,
      0.010744956626395996,
      0.010509444682811099,
      0.010277334142208171,
      0.010048575944376109,
      0.009823121662331083,
      0.009600923509873235,
      0.009381934478325393,
      0.009166108145676543,
      0.008953398844557262,
      0.008743761540074281,
      0.0085371519458692,
      0.008333526337563619,
      0.008132841578593774,
      0.007935055166888479,
      0.007740125265608179,
      0.007548011092081719,
      0.007358674265579937,
      0.007172076741751234,
      0.006988180345693268,
      0.006806946997400541,
      0.0066283387339806515,
      0.0064523179615977155,
      0.006278847492145735,
      0.006107890632925216,
      0.005939411125163937,
      0.005773372988962325,
      0.005609740973692533,
      0.005448480317973288,
      0.005289556683084931,
      0.005132936330185435,
      0.004978585802880467,
      0.004826472114437472,
      0.0046765629362980395,
      0.004528826273786389,
      0.00438323065872658,
      0.004239745051331489,
      0.004098338902964932,
      0.003958982087005854,
      0.0038216448950768667,
      0.0036862980604316876,
      0.0035529127449672546,
      0.0034214604512072247,
      0.0032919133114112198,
      0.0031642436155310217,
      0.0030384241541359636,
      0.0029144280732937176,
      0.002792228864722146,
      0.002671800598821421,
      0.0025531176446806493,
      0.0024361548114303897,
      0.0023208870137875026,
      0.0022072896315933053,
      0.0020953385531748423,
      0.001985009883530775,
      0.0018762801303726596,
      0.0017691261373271338,
      0.0016635250694269276,
      0.001559454444328054,
      0.0014568920121003092,
      0.0013558159542432452,
      0.0012562047726721055,
      0.0011580372051345402,
      0.0010612923074011316,
      0.0009659494726699138,
      0.0008719883950517158,
      0.0007793889581526098,
      0.0006881315125392112,
      0.0005981966073460054,
      0.00050956511157323,
      0.0004222180686771457,
      0.0003361368830947363,
      0.00025130315173272727,
      0.00016769882721210972,
      8.530614059913153e-05,
      4.107569725604252e-06,
      -7.591416584144262e-05,
      -0.00015477627454477547,
      -0.00023249547685941414,
      -0.00030908830004456667,
      -0.0003845711174245603,
      -0.00045896007288907803,
      -0.0005322709151089364,
      -0.0006045193521271126,
      -0.0006757207376380087,
      -0.0007458901821583221,
      -0.0008150427523777788,
      -0.0008831931293422663,
      -0.0009503558126600858,
      -0.0010165451009435105,
      -0.0010817751988302746,
      -0.0011460600820117433,
      -0.0012094133484202051,
      -0.001271848430768488,
      -0.0013333787064888942,
      -0.0013940172130184555,
      -0.0014537769535497016,
      -0.0015126706491809959,
      -0.0015707108076639638,
      -0.0016279097600422961,
      -0.001684279798014268,
      -0.0017398329549881129,
      -0.0017945810661697539,
      -0.0018485357958876788
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56680046474278,
      10.336659208073378,
      10.098639397060412,
      9.855786956250704,
      9.610563626699921,
      9.365100371801034,
      9.1212562301375,
      8.88057506264313,
      8.644270786864713,
      8.413259385533756,
      8.188167912960681,
      7.969351267029092,
      7.756921169764481,
      7.550783282131117,
      7.35067864601192,
      7.156217761753759,
      6.966925750788116,
      6.782285460891203,
      6.601768543717293,
      6.4248618344348785,
      6.251084193567312,
      6.079992895978179,
      5.91120386579403,
      5.74440180890055,
      5.579343809807474,
      5.415864270120783,
      5.253873765218359,
      5.093363673065353,
      4.934397261976857,
      4.777098187238951,
      4.6216539777166,
      4.4683179383808165,
      4.317394726206687,
      4.169249507221395,
      4.0242853035978365,
      3.8829099259252127,
      3.7455194427311778,
      3.61248651023943,
      3.4841528127043846,
      3.3608164150628728,
      3.24272232417441,
      3.1300589526010216,
      3.022956853501823,
      2.921482919408256,
      2.825634010624915,
      2.735341549311585,
      2.6504868224607385,
      2.5709031511655565,
      2.4963691950926643,
      2.4266468629986373,
      2.3614854956037874,
      2.300603071803467,
      2.2436865790578278,
      2.1903991869993025,
      2.1403577652852035,
      2.0931873989704033,
      2.048544397881929,
      2.006107273661851,
      1.9655890924583577,
      1.9267451641952462,
      1.8893817411076232,
      1.8533459049605265,
      1.8185119207192026,
      1.7847702386951585,
      1.7520304660130566,
      1.7202200913009196,
      1.6892792934593734,
      1.6591576045041894,
      1.6298115668133193,
      1.6012030584867332,
      1.5732974605285626,
      1.5460609384551909,
      1.519462675123845,
      1.493475220836105,
      1.4680737405574942,
      1.4432354786942678,
      1.4189393752504715,
      1.3951657873121266,
      1.3718965109145482,
      1.34911578259594,
      1.3268089474064588,
      1.3049615505738643,
      1.283559471826026,
      1.262589005537749,
      1.2420369043825712,
      1.2218904006884566,
      1.2021372137309851,
      1.1827655449219012,
      1.163764067711931,
      1.1451219129016825,
      1.1268292236608974,
      1.1088788726315115,
      1.0912641476161642,
      1.0739781281501448,
      1.0570134628958006,
      1.040362530965,
      1.0240177525690266,
      1.0079731515800014,
      0.9922233774101633,
      0.9767624398831084,
      0.9615840111987995,
      0.9466816206395544,
      0.9320487820187305,
      0.9176790744254152,
      0.9035661943046437,
      0.8897039859240283,
      0.8760864591697172,
      0.8627077985994912,
      0.8495623668459584,
      0.8366447032562486,
      0.8239495217436438,
      0.8114717058648453,
      0.7992063041628319,
      0.7871485241278642,
      0.7752937262761548,
      0.7636374182121028,
      0.7521752490943066,
      0.7409030038289883,
      0.7298165975295366,
      0.7189120703958167,
      0.7081855825036816,
      0.6976334091089996,
      0.687251935746591,
      0.677037654130573,
      0.6669871579531327,
      0.6570971389988174,
      0.6473643829974666,
      0.6377857327908102,
      0.6283580760557009,
      0.6190784046580903,
      0.6099438122347046,
      0.6009514841176802,
      0.5920986895172534,
      0.5833827756905916,
      0.5748011632178144,
      0.5663513422700641,
      0.5580308688417047,
      0.549837362002528,
      0.5417685015726289,
      0.5338220257787211,
      0.5259954765814477,
      0.5182860801120562,
      0.5106912650348499,
      0.5032086814328527,
      0.49583614366146866,
      0.4885715910392781,
      0.48141306104811676,
      0.4743586701377065,
      0.4674066007617477,
      0.46055509225058605,
      0.4538024340004385,
      0.4471469606638891,
      0.44058704844528895,
      0.4341211126264218,
      0.4277476049755475,
      0.4214650120072207,
      0.4152718536633384,
      0.40916668178320603,
      0.4031481337553803,
      0.39721514095740995,
      0.3913666773843855,
      0.38560166145290004,
      0.3799189523266113,
      0.37431736898155815,
      0.3687957118687218,
      0.3633527769315797,
      0.3579873646814769,
      0.35269830606016933,
      0.3474848735598567,
      0.34234630826868234,
      0.33728158761184723,
      0.3322896631231101,
      0.3273696466148647,
      0.3225207257758995,
      0.3177419982165294,
      0.31303250813921685,
      0.3083912703792753,
      0.303817286388636,
      0.2993095550221361,
      0.2948670790598975,
      0.2904889018398485,
      0.2861741729808658,
      0.28192204646429003,
      0.27773165522392645,
      0.273602114904218,
      0.2695325346883542,
      0.2655220247427068,
      0.26156970093149634,
      0.25767475275290175,
      0.2538367005143929,
      0.25005508287786665,
      0.2463293063791973,
      0.24265869417829583,
      0.2390425181252642,
      0.2354800203187853,
      0.2319704275452351,
      0.22851296067799023,
      0.22510684090503794,
      0.2217512941458852,
      0.2184455536114212,
      0.21518886162524428,
      0.2119804254374311,
      0.20881939986772555,
      0.20570497867525706,
      0.20263639730625715,
      0.1996129227014905,
      0.1966338466493939,
      0.19369848117203955,
      0.190806155355031,
      0.1879562129488551,
      0.18514801092408517,
      0.18238091859402103,
      0.17965431651379193,
      0.17696759594113753,
      0.174320158628388,
      0.17171141601652215,
      0.16914078921672673,
      0.1666077087417206,
      0.16411161419732218,
      0.16165195416867315,
      0.1592281860722944,
      0.156839775769952,
      0.15448619773939412,
      0.15216693451737845,
      0.149881476685637,
      0.14762932294876294,
      0.14540997978951134,
      0.14322296134260548,
      0.14106778919477253,
      0.13894399242245162,
      0.13685110736427103,
      0.13478867751669957,
      0.13275625343808553,
      0.1307533925460625,
      0.12877965903080285,
      0.12683462375074545,
      0.12491786413550965,
      0.12302896414080797,
      0.12116751401354318,
      0.11933311023550831,
      0.11752535544839118,
      0.1157438583153875,
      0.1139882333256569,
      0.11225810076354668,
      0.11055308686181284,
      0.1088728234523318,
      0.10721694781345124,
      0.10558510270033644,
      0.10397693638048372,
      0.10239210224866359,
      0.10083025894862416,
      0.09929107027074581,
      0.09777420499661199,
      0.09627933685621463,
      0.09480614453343832,
      0.09335431151050529,
      0.09192352586501609,
      0.09051348048996738,
      0.08912387263050908,
      0.08775440426283387,
      0.08640478168148824,
      0.08507471552807651,
      0.0837639207777672,
      0.08247211656612091,
      0.08119902617358692,
      0.0799443771456228,
      0.07870790099861324,
      0.07748933311783725,
      0.07628841290464311,
      0.0751048835881256,
      0.07393849211416548,
      0.07278898916873809,
      0.0716561291762561,
      0.07053967027356957,
      0.0694393739887886,
      0.06835500542215313,
      0.0672863330265323,
      0.06623312878166845,
      0.06519516811119534,
      0.06417222947484866,
      0.06316409471952632,
      0.06217054900051243,
      0.061191380485969116,
      0.060226380454211685,
      0.05927534325945348,
      0.05833806633421124,
      0.05741435002186943,
      0.056503997607869935,
      0.05560681517097378,
      0.054722611692859635,
      0.05385119889569237,
      0.05299239136342904,
      0.05214600628255044,
      0.05131186351078399,
      0.050489785674652767,
      0.04967959790554986,
      0.048881127772956334,
      0.04809420551601041,
      0.047318663849729284,
      0.046554337843974,
      0.04580106493538342,
      0.045058684977112816,
      0.044327040243483835,
      0.0436059752400921,
      0.042895336688243614,
      0.0421949736478103,
      0.041504737245344786,
      0.04082448089963168,
      0.04015406006631985,
      0.039493332337163345,
      0.0388421574039017,
      0.0382003968968853,
      0.03756791448225921,
      0.0369445759639061,
      0.03633024902125377,
      0.035724803212080665,
      0.03512811001113045,
      0.03454004270328682,
      0.03396047642691772,
      0.03338928812580429,
      0.03282635666374989,
      0.03227156253959507,
      0.03172478794558967,
      0.031185916975405344,
      0.030654835298833796,
      0.030131430144731,
      0.02961559041084282,
      0.029107206719564863,
      0.028606171168648636,
      0.028112377545996558,
      0.027625721073174334,
      0.027146098543220126,
      0.026673408260719185,
      0.026207549955727924,
      0.025748424748074702,
      0.025295935294984313,
      0.024849985651946408,
      0.02441048122208312,
      0.023977328843798763,
      0.023550436617292964,
      0.02312971407307176,
      0.022715071893928344,
      0.022306422233600458,
      0.02190367833441775,
      0.021506754889366278,
      0.02111556772073842,
      0.020730033871773624,
      0.020350071698751866,
      0.019975600602080763,
      0.019606541111436216,
      0.019242815159788724,
      0.018884345542040538,
      0.018531056268068148,
      0.018182872468418175,
      0.017839720419175007,
      0.01750152736121737,
      0.01716822157126274,
      0.016839732360886137,
      0.016515990066577495,
      0.016196926018404313,
      0.01588247271635752,
      0.015572563495564023,
      0.015267132659583318,
      0.014966115547316222,
      0.014669448336557592,
      0.014377068124774142,
      0.014088912930633662,
      0.013804921724332168,
      0.013525034360241472,
      0.013249191487260753,
      0.012977334640620272,
      0.012709406177926054,
      0.012445349371271442,
      0.012185108184672444,
      0.011928627537866016,
      0.011675853102869742,
      0.01142673125001123,
      0.011181209232152371,
      0.010939234945609175,
      0.010700757133272416,
      0.010465725374272847,
      0.010234089835106494,
      0.01000580141152142,
      0.009780811847530262,
      0.009559073457037595,
      0.00934053907663937,
      0.009125162465974782,
      0.008912897871766806,
      0.008703700497146008,
      0.008497526007745991,
      0.00829433073961489,
      0.008094071585041761,
      0.007896706122420997,
      0.0077021925387844685,
      0.007510489637598729,
      0.007321558165191345,
      0.007135360536212141,
      0.006951858924040799,
      0.006771015468887778,
      0.006592792542475971,
      0.006417152727654525,
      0.006244058830623083,
      0.006073474218343232,
      0.005905362662014958,
      0.005739688423944733,
      0.005576416326726104,
      0.005415511558060095,
      0.005256939821518431,
      0.005100667321868782,
      0.004946660734343036,
      0.004794887226408657,
      0.004645314411848312,
      0.004497910337883522,
      0.004352643531625996,
      0.0042094830609767575,
      0.004068398438675753,
      0.003929359489915768,
      0.0037923365583063897,
      0.0036573004786420835,
      0.0035242223031529693,
      0.003393073684296151,
      0.003263826642478906,
      0.0031364536089217854,
      0.003010927463692034,
      0.0028872214547926768,
      0.0027653091695657747,
      0.002645164577177811,
      0.00252676199634847,
      0.0024100762872637715,
      0.002295082549299607,
      0.0021817561505298433,
      0.002070072936249225,
      0.001960009032546883,
      0.0018515409880107679,
      0.0017446456621817861,
      0.0016393002750536992,
      0.0015354823621017636,
      0.001433169679599344,
      0.001332340562630831,
      0.0012329734838923214,
      0.0011350471599594124,
      0.0010385406903590196,
      0.0009434335391401121,
      0.0008497054415331182,
      0.0007573364071449782,
      0.0006663067749789596,
      0.0005765970980982837,
      0.00048818815643184135,
      0.00040106103386755625,
      0.0003151972158698383,
      0.00023057838937061502,
      0.00014718654288250544,
      6.500387012870759e-05,
      -1.598719794705623e-05,
      -9.580396689501363e-05,
      -0.00017446338744747195,
      -0.00025198226855997514,
      -0.00032837715248813207,
      -0.00040366430334615394,
      -0.00047785981564485344,
      -0.00055097953730239,
      -0.0006230390621351119,
      -0.0006940537782260954,
      -0.0007640388520826938,
      -0.000833009078069092,
      -0.0009009792420944025,
      -0.0009679638613350038,
      -0.0010339772795730715,
      -0.0010990335453492552,
      -0.0011631465242689701,
      -0.0012263298964035854,
      -0.00128859705720286,
      -0.0013499613100705703,
      -0.0014104358612303458,
      -0.0014700336045183862,
      -0.0015287671974745997,
      -0.0015866491045796913,
      -0.001643691817949235,
      -0.00169990744204352,
      -0.0017553079385047834,
      -0.0018099051728562973,
      -0.0018637107195638935
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566797561605572,
      10.336644868808268,
      10.098606343122448,
      9.85573000246735,
      9.610478687645411,
      9.36498453035168,
      9.121107666230674,
      8.880393250680662,
      8.64405599187191,
      8.413012149756849,
      8.187888925398449,
      7.96904123917976,
      7.756580743044427,
      7.550412967845585,
      7.350278680016671,
      7.155788058069295,
      6.966466184271503,
      6.7817958946979795,
      6.601248868757331,
      6.424312058785863,
      6.250504643943797,
      6.0793841085575115,
      5.910566539615598,
      5.743736909267503,
      5.578652587835327,
      5.41514827308929,
      5.253134872877385,
      5.092604135681896,
      4.933619625334996,
      4.776305187810506,
      4.620848736829738,
      4.467503930597632,
      4.316575917626742,
      4.168430557646949,
      4.023470863594848,
      3.8821045233135494,
      3.7447273905040186,
      3.6117119029951823,
      3.48339950546956,
      3.360087793564632,
      3.2420212663543024,
      3.1293878057699964,
      3.022317429779983,
      2.920876339499314,
      2.825060653224442,
      2.734801030649974,
      2.6499783077591834,
      2.5704251470940553,
      2.495919531197583,
      2.4262232623795663,
      2.361085548863821,
      2.3002241091367672,
      2.2433257908282584,
      2.1900535430466976,
      2.140023909509894,
      2.092862237489812,
      2.0482251128002678,
      2.0057913465991444,
      1.965274453070156,
      1.9264302600026424,
      1.8890654412508334,
      1.85302738216615,
      1.8181905570877501,
      1.7844455895882787,
      1.7517022201517838,
      1.7198880447568479,
      1.6889433257615176,
      1.6588176555092728,
      1.6294676196334863,
      1.6008551264245394,
      1.5729455891299526,
      1.5457052037212968,
      1.5191031541890196,
      1.4931119916763942,
      1.4677068811781357,
      1.442865067219051,
      1.4185654896397928,
      1.3947885047583535,
      1.3715159312755514,
      1.3487320378944634,
      1.326422150089953,
      1.3045717995862873,
      1.2831668564595808,
      1.2621936073684143,
      1.2416388000329759,
      1.2214896631789816,
      1.2017339127734794,
      1.182359748138315,
      1.16335584094577,
      1.1447113202817518,
      1.126416418918805,
      1.108464138183715,
      1.0908477036889483,
      1.073560145722339,
      1.056594074334704,
      1.0399418422377242,
      1.0235959723984074,
      1.0075506458149452,
      0.9918004010539379,
      0.976339174593597,
      0.961160589457855,
      0.946258141991605,
      0.9316253234895543,
      0.9172556979872674,
      0.9031429515531827,
      0.8892809213491172,
      0.8756636125855302,
      0.8622852066881808,
      0.849140064072218,
      0.8362227225621901,
      0.8235278948726925,
      0.8110504640278163,
      0.7987854777757692,
      0.7867281429953862,
      0.7748738196098458,
      0.7632180148658545,
      0.7517563775852008,
      0.7404846923980043,
      0.7293988740137343,
      0.7184949622679163,
      0.70776911692639,
      0.6972176126743536,
      0.6868368349168024,
      0.6766232751355673,
      0.6665735265511896,
      0.6566842804821871,
      0.6469523222389895,
      0.6373744920931986,
      0.6279476770303072,
      0.6186688694821524,
      0.6095351634023208,
      0.6005437441585385,
      0.5916918806577182,
      0.5829769198884096,
      0.5743962818832212,
      0.5659474564877677,
      0.5576279995594086,
      0.5494355299072269,
      0.5413677268838744,
      0.5334223283394335,
      0.5255969298260618,
      0.5178887624970083,
      0.5102952348544413,
      0.5028139833284955,
      0.49544281286673464,
      0.4881796562651233,
      0.48102254634906016,
      0.4739695963754763,
      0.46701898644228,
      0.4601689541954827,
      0.4534177879570663,
      0.44676382144894344,
      0.44020543028409936,
      0.4337410289769743,
      0.42736906867615854,
      0.4210880354178753,
      0.4148964485211406,
      0.40879285950972016,
      0.4027759541884416,
      0.39684470549225354,
      0.3909980655447982,
      0.38523493215044063,
      0.37955414592882464,
      0.3739545134047573,
      0.3684348264343632,
      0.3629938750693079,
      0.3576304559457283,
      0.35234345379849896,
      0.34713221281645856,
      0.34199591862671846,
      0.3369335205239491,
      0.33194396610687954,
      0.3270263760035474,
      0.32217991637906945,
      0.31740367031204403,
      0.3126966723563178,
      0.3080579308643479,
      0.30348644292623816,
      0.29898120415765533,
      0.2945412152837873,
      0.2901655329202598,
      0.2858533077616409,
      0.2816036888151796,
      0.2774158041988917,
      0.27328876610140324,
      0.2692216814546578,
      0.2652136588206684,
      0.26126381295818546,
      0.2573713455950923,
      0.2535357943962297,
      0.2497566866898322,
      0.24603342162199682,
      0.2423653172958452,
      0.2387516420408838,
      0.23519163565090226,
      0.23168452334197198,
      0.2282295247879792,
      0.22482586066033416,
      0.2214727563159305,
      0.21816944456970527,
      0.214915167436649,
      0.21170912598953878,
      0.2085504743887044,
      0.20543840862521706,
      0.20237216562620455,
      0.1993510133848095,
      0.19637424439219367,
      0.19344117107615943,
      0.19055112270769897,
      0.1877034433328671,
      0.18489749014975257,
      0.1821326323513873,
      0.17940825065959876,
      0.1767237363398691,
      0.1740784909290278,
      0.17147192601950603,
      0.1689034627058596,
      0.16637253153815895,
      0.1638785721494118,
      0.16142103310909034,
      0.15899937186996363,
      0.15661305433056216,
      0.15426155478915204,
      0.15194435580503549,
      0.1496609481588669,
      0.14741083041533581,
      0.1451935090798479,
      0.14300849838922663,
      0.1408553199018182,
      0.13873350266787754,
      0.1366425829826088,
      0.13458210437663615,
      0.13255161743682928,
      0.13055067959064115,
      0.12857885505737124,
      0.1266357147308073,
      0.12472083611352064,
      0.1228338031446644,
      0.12097420606631513,
      0.11914164134785929,
      0.11733571173122567,
      0.11555602584468612,
      0.11380219829939352,
      0.11207384954434971,
      0.11037060570173848,
      0.10869209855431372,
      0.10703796546224853,
      0.10540784928516946,
      0.10380139830983817,
      0.10221826603033059,
      0.10065811114899251,
      0.09912059735957478,
      0.09760539357309393,
      0.09611217356950058,
      0.0946406160292579,
      0.09319040441528771,
      0.09176122701797383,
      0.09035277665417923,
      0.08896475076981869,
      0.08759685122126856,
      0.08624878439647352,
      0.08492026098615756,
      0.08361099602126644,
      0.08232070881128044,
      0.0810491227129782,
      0.07979596524118031,
      0.07856096797459011,
      0.07734386640635131,
      0.07614439996122496,
      0.07496231194707684,
      0.07379734940910973,
      0.07264926307395296,
      0.07151780738626304,
      0.0704027404094651,
      0.069303823854208,
      0.06822082284622194,
      0.06715350607272566,
      0.06610164557900307,
      0.06506501658369832,
      0.06404339784955076,
      0.06303657131983534,
      0.062044322033611536,
      0.06106643834175034,
      0.060102711575409355,
      0.05915293613586529,
      0.05821690955455737,
      0.05729443217959958,
      0.05638530736586703,
      0.05548934130736198,
      0.05460634309971125,
      0.053736124453855845,
      0.05287850003368358,
      0.05203328717152797,
      0.05120030579108671,
      0.05037937849894323,
      0.049570330517666426,
      0.04877298955560527,
      0.04798718590883705,
      0.04721275225451014,
      0.04644952375567221,
      0.045697338025879115,
      0.044956034940799146,
      0.044225456878353185,
      0.04350544835457021,
      0.04279585622399222,
      0.04209652954865383,
      0.04140731963157034,
      0.04072807988992094,
      0.04005866587634002,
      0.03939893525743855,
      0.03874874782913091,
      0.03810796533652354,
      0.03747645149837976,
      0.03685407202642478,
      0.03624069469355931,
      0.03563618925131738,
      0.0350404271095663,
      0.034453281627190906,
      0.033874628021996554,
      0.03330434345662488,
      0.032742306772365073,
      0.032188398572838756,
      0.0316425011683281,
      0.031104498660315408,
      0.03057427674014768,
      0.030051722843885666,
      0.029536725865165054,
      0.029029176503752783,
      0.028528966920951526,
      0.028035991005606428,
      0.027550144022687857,
      0.027071322712976995,
      0.026599425360142877,
      0.026134351908204675,
      0.025676003589311658,
      0.025224283129330533,
      0.024779094666174794,
      0.024340343667486948,
      0.023907936948766414,
      0.02348178274794471,
      0.023061790582320642,
      0.02264787133342177,
      0.02223993712744993,
      0.02183790142359539,
      0.021441678878963998,
      0.021051185338972517,
      0.020666337991148552,
      0.02028705515547397,
      0.019913256307980583,
      0.019544862096192665,
      0.019181794390914757,
      0.018823976164688467,
      0.0184713315272787,
      0.018123785644610722,
      0.01778126476354603,
      0.017443696215684593,
      0.017111008297933352,
      0.01678313046866032,
      0.016459993198458808,
      0.01614152784405119,
      0.015827666862631748,
      0.015518343686987091,
      0.01521349266203487,
      0.01491304913071196,
      0.014616949403316148,
      0.014325130641297094,
      0.014037530948251992,
      0.013754089279641493,
      0.013474745489878669,
      0.01319944030004882,
      0.012928115364355234,
      0.012660713117702524,
      0.012397176817199448,
      0.012137450599469428,
      0.011881479312368009,
      0.011629208705964289,
      0.011380585295969478,
      0.011135556344886383,
      0.010894069889642883,
      0.01065607468419187,
      0.010421520242523583,
      0.01019035679170995,
      0.00996253529299222,
      0.00973800742738118,
      0.009516725590672327,
      0.009298642853052416,
      0.009083712940303407,
      0.008871890249402077,
      0.0086631299050781,
      0.008457387609196135,
      0.008254619708497482,
      0.008054783258871724,
      0.007857835831297098,
      0.007663735657085249,
      0.0074724416167426064,
      0.007283913561670814,
      0.007098113696339888,
      0.006915004623281636,
      0.0067345489230690924,
      0.00655670907726422,
      0.006381447874877757,
      0.006208728227951569,
      0.006038513566788699,
      0.00587076783622212,
      0.005705455284268991,
      0.005542540754319665,
      0.005381989508994624,
      0.005223767316473749,
      0.005067840430672482,
      0.004914175515958491,
      0.004762739783522769,
      0.004613500951724159,
      0.004466427113003368,
      0.004321486882274193,
      0.004178649318228237,
      0.0040378838336102355,
      0.0038991604059844674,
      0.0037624493962984235,
      0.0036277216362013273,
      0.003494948370593994,
      0.003364101265742012,
      0.0032351523743536542,
      0.0031080742294425008,
      0.002982839634807004,
      0.0028594218698370826,
      0.002737794540193792,
      0.0026179316204579628,
      0.002499807549242569,
      0.0023833970842161894,
      0.002268675374818845,
      0.0021556178774796825,
      0.002044200437282231,
      0.001934399352251565,
      0.0018261912039545137,
      0.0017195528673374318,
      0.001614461572644258,
      0.0015108948541566836,
      0.0014088305446382423,
      0.0013082469047384845,
      0.0012091224039380993,
      0.0011114358524203698,
      0.0010151664004634164,
      0.0009202935331379425,
      0.0008267970402674745,
      0.0007346570329089487,
      0.0006438536932184929,
      0.000554367540399634,
      0.00046617953854368783,
      0.0003792709201223897,
      0.00029362306150241743,
      0.0002092176324006601,
      0.00012603670849973745,
      4.406249108260104e-05,
      -3.672257210761591e-05,
      -0.00011633570921048411,
      -0.00019479391125291792,
      -0.0002721139477941012,
      -0.00034831237557634545,
      -0.00042340539355120683,
      -0.0004974089764641603,
      -0.0005703389694663913,
      -0.0006422110356322383,
      -0.0007130403996569822,
      -0.0007828421427195473,
      -0.0008516312872750612,
      -0.0009194225443507798,
      -0.0009862304093229838,
      -0.0010520691618419588,
      -0.0011169527816552688,
      -0.0011808951118561241,
      -0.0012439097859480539,
      -0.0013060103577392428,
      -0.0013672099917492971,
      -0.0014275218077223761,
      -0.0014869587476133838,
      -0.0015455334991595238,
      -0.0016032584438644382,
      -0.001660145896537854,
      -0.0017162080773303649,
      -0.001771456943272912,
      -0.001825904311753158,
      -0.0018795617730924738
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566794675456483,
      10.336630763110971,
      10.098573748205292,
      9.855673735601998,
      9.610394659814384,
      9.364869820551736,
      9.120960446606167,
      8.880212986971737,
      8.64384294016922,
      8.412766842886509,
      8.187612044773205,
      7.96873348885761,
      7.75624276006626,
      7.55004526050555,
      7.349881481995382,
      7.155361282310278,
      6.966009704777704,
      6.781309574481209,
      6.600732599452477,
      6.423765850383481,
      6.249928827005654,
      6.078779222312362,
      5.909933285941144,
      5.743076253375175,
      5.577965778475919,
      5.414436855523165,
      5.25240072261012,
      5.091849495679837,
      4.932847035260212,
      4.775517375087562,
      4.620048810949489,
      4.466695352479986,
      4.315762636061327,
      4.1676172109297625,
      4.02266207882544,
      3.88130480432639,
      3.7439410265160107,
      3.6109429642213353,
      3.482651823018461,
      3.3593647307093137,
      3.24132568022971,
      3.1287220245856084,
      3.0216832489850187,
      2.9202748656659683,
      2.8244922533927097,
      2.734265314079399,
      2.6494744354019266,
      2.5699516243479703,
      2.495474188763909,
      2.4258038261742456,
      2.360689614494802,
      2.299849015651868,
      2.2429687389034707,
      2.1897115136741974,
      2.1396935601911546,
      2.0925404876947553,
      2.047909156821468,
      2.0054786769142496,
      1.9649630095379922,
      1.9261184984449649,
      1.88875223678051,
      1.8527119127212597,
      1.8178722092655273,
      1.7841239224802656,
      1.7513769254958724,
      1.7195589200948607,
      1.688610252766339,
      1.6584805758726908,
      1.6291265175210612,
      1.6005100158545569,
      1.5725965168272331,
      1.545352247367506,
      1.5187463921736113,
      1.4927515029468015,
      1.467342744925674,
      1.4424973621958388,
      1.418194293969092,
      1.3944138960329333,
      1.3711380093212406,
      1.3483509352275294,
      1.326037979710964,
      1.304184660840874,
      1.2827768385778269,
      1.261800792715119,
      1.2412432652870382,
      1.2210914815424425,
      1.2013331547165604,
      1.181956481747426,
      1.1629501322289317,
      1.1443032340411723,
      1.1260061429846553,
      1.108051943016547,
      1.0904338015579065,
      1.0731447026586658,
      1.056177219382101,
      1.0395236788902948,
      1.0231767074421843,
      1.0071306438425236,
      0.9913799164864598,
      0.975918389022672,
      0.9607396353019969,
      0.9458371183741152,
      0.9312043067536193,
      0.9168347497657394,
      0.9027221234913881,
      0.8888602583206723,
      0.8752431548139283,
      0.861864991491373,
      0.8487201260118881,
      0.8358030947456924,
      0.8231086093753756,
      0.8106315521497075,
      0.7983669699801405,
      0.7863100690379511,
      0.7744562090627902,
      0.7628008971223466,
      0.751339781471819,
      0.7400686461321083,
      0.7289834054541494,
      0.7180800989522922,
      0.7073548859200884,
      0.6968040408662806,
      0.6864239489246939,
      0.6762111012779098,
      0.6661620905807224,
      0.6562736078436752,
      0.6465424381397178,
      0.6369654190716179,
      0.627539437037322,
      0.618261484933875,
      0.609128656828304,
      0.600138137868354,
      0.5912871969591365,
      0.5825731808660515,
      0.5739935094750769,
      0.5655456721218852,
      0.5572272241136296,
      0.5490357838128418,
      0.5409690304255116,
      0.5330247010065675,
      0.5252004454999482,
      0.5174935000674724,
      0.5099012528072346,
      0.5024213263049787,
      0.49505151593323543,
      0.4877897480510387,
      0.48063405086090566,
      0.47358253440805964,
      0.46663337689824436,
      0.4597848141717561,
      0.4530351331515124,
      0.4463826666335221,
      0.439825789338032,
      0.4333629151919215,
      0.426992494928097,
      0.42071301407846856,
      0.414522991541757,
      0.4084209783213825,
      0.40240573487910203,
      0.39647624011045557,
      0.39063142769275044,
      0.38487017632976794,
      0.37919130959246344,
      0.3735936224024811,
      0.36807589898856186,
      0.3626369239898748,
      0.3572754903131386,
      0.35199053632450783,
      0.346781477884262,
      0.34164744551255083,
      0.3365873605349299,
      0.3316001669531108,
      0.3266849939388042,
      0.3218409860002612,
      0.31706721195720955,
      0.31236269661853,
      0.30772644176933545,
      0.3031574400397351,
      0.29865468411401114,
      0.29421717275381654,
      0.2898439757403626,
      0.2855342447570187,
      0.28128712380060344,
      0.27710173600902815,
      0.2729771903567561,
      0.26891259142219803,
      0.2649070463527149,
      0.2609596688766183,
      0.2570696727473386,
      0.25323661312580803,
      0.2494600059163811,
      0.24573924281052578,
      0.242073636878207,
      0.2384624530151256,
      0.23490492870802995,
      0.23140028739700283,
      0.22794774779529814,
      0.2245465298002652,
      0.221195858266011,
      0.2178949657471508,
      0.21464309400926268,
      0.2114394379815155,
      0.20828315132628086,
      0.20517343213633285,
      0.2021095187407289,
      0.19909068006771005,
      0.19611620928298487,
      0.19318541930571137,
      0.19029763976697103,
      0.18745221487831443,
      0.18464850185920276,
      0.1818858700334998,
      0.1791637000191734,
      0.17648138328931662,
      0.1738383214540166,
      0.17123392594907694,
      0.16866761802158894,
      0.1661388281041925,
      0.1636469957912337,
      0.16119156972966145,
      0.15877200729809202,
      0.15638777442945445,
      0.15403834539235445,
      0.151723202817345,
      0.14944183738939007,
      0.14719374777240915,
      0.14497844041580277,
      0.14279542942719511,
      0.14064423646042176,
      0.13852439063132807,
      0.13643542839153736,
      0.1343768931626637,
      0.1323483355253643,
      0.13034931299059221,
      0.1283793897915161,
      0.1264381368293585,
      0.12452513165217355,
      0.12263995815491849,
      0.12078220666190208,
      0.11895147374897132,
      0.11714736203461489,
      0.11536948019368386,
      0.11361744287561448,
      0.11189087051466547,
      0.11018938936871578,
      0.10851263123320416,
      0.10686023354215043,
      0.10523183924580688,
      0.10362709656671468,
      0.10204565900204833,
      0.10048718527340006,
      0.09895133924969919,
      0.09743778991907148,
      0.09594621102811803,
      0.09447628135452546,
      0.09302768434130886,
      0.09160010825616506,
      0.0901932460617786,
      0.08880679522630557,
      0.08744045778450756,
      0.08609394009053688,
      0.08476695299912865,
      0.08345921158227178,
      0.08217043510571627,
      0.08090034703278681,
      0.0796486749510145,
      0.07841515040169106,
      0.0771995089784457,
      0.0760014901281301,
      0.07482083720742556,
      0.07365729732436255,
      0.07251062132081702,
      0.07138056374262079,
      0.07026688280425342,
      0.06916934010272234,
      0.06808770091312434,
      0.06702173396962449,
      0.06597121122715763,
      0.06493590819488952,
      0.06391560363040605,
      0.06291007946859542,
      0.061919120946908636,
      0.060942516376457555,
      0.0599800572306762,
      0.059031537926828345,
      0.058096756029034274,
      0.05717551199856745,
      0.05626760928267321,
      0.055372854093100034,
      0.05449105563075537,
      0.053622025787089536,
      0.052765579212161004,
      0.05192153326202656,
      0.05108970802034445,
      0.050269926110600466,
      0.04946201282337971,
      0.0486657959003295,
      0.04788110571261199,
      0.04710777507998648,
      0.04634563923622745,
      0.045594535828801096,
      0.0448543048674508,
      0.04412478868817644,
      0.043405832021371465,
      0.04269728174785377,
      0.04199898692688756,
      0.04131079895679078,
      0.04063257130225337,
      0.03996415956335899,
      0.0393054214863534,
      0.0386562169249972,
      0.03801640771783972,
      0.0373858577036197,
      0.03676443274735067,
      0.03615200059603389,
      0.035548430980376404,
      0.0349535955363933,
      0.03436736773072699,
      0.03378962286687085,
      0.033220238113784835,
      0.03265909232572179,
      0.032106066148364275,
      0.031561041972598375,
      0.031023903924093793,
      0.030494537805016222,
      0.029972831071303673,
      0.0294586727873535,
      0.02895195372074115,
      0.028452566131575156,
      0.027960403809631176,
      0.027475362199853477,
      0.02699733822904246,
      0.026526230233790707,
      0.0260619380845517,
      0.025604363143950037,
      0.02515340813547925,
      0.02470897734195985,
      0.024270976218271883,
      0.023839311619489708,
      0.02341389188807982,
      0.02299462664790879,
      0.02258142690215933,
      0.02217420483786787,
      0.021772873895452172,
      0.021377348818025443,
      0.02098754559734857,
      0.02060338136130146,
      0.020224774514087992,
      0.01985164463866597,
      0.019483912398536102,
      0.019121499710320254,
      0.018764329717973285,
      0.01841232643427636,
      0.01806541513024516,
      0.017723522207782623,
      0.017386574955741953,
      0.01705450181862553,
      0.016727232243170572,
      0.01640469682822572,
      0.016086827027293964,
      0.015773555299746972,
      0.01546481513235808,
      0.015160540912070381,
      0.014860668025116625,
      0.014565132883621868,
      0.014273872682624712,
      0.013986825624654628,
      0.013703930664744624,
      0.013425127678057204,
      0.013150357548659114,
      0.012879561969559519,
      0.012612683379388924,
      0.012349665067413999,
      0.012090451243883815,
      0.0118349868592774,
      0.011583217604741482,
      0.011335090106174131,
      0.011090551753177882,
      0.010849550467023336,
      0.010612035164550546,
      0.010377955373023972,
      0.010147261535037781,
      0.00991990454023165,
      0.00969583607994133,
      0.009475008591115967,
      0.00925737522889439,
      0.009042889860769794,
      0.008831506841168063,
      0.008623181214055545,
      0.008417868899092865,
      0.008215526353258881,
      0.008016110629050947,
      0.00781957935864662,
      0.0076258907212065005,
      0.007435003577876793,
      0.007246877361064091,
      0.007061473619726148,
      0.006878755366402669,
      0.006698685449894381,
      0.006521226638425359,
      0.006346341868169488,
      0.006173994294813908,
      0.006004147549654264,
      0.005836765533309712,
      0.005671812630285792,
      0.0055092537282226415,
      0.005349054079955767,
      0.005191179536190393,
      0.005035596277975209,
      0.004882271103668254,
      0.004731171394141019,
      0.004582264793669891,
      0.004435519407756899,
      0.00429090390034306,
      0.004148387377110511,
      0.004007939455174825,
      0.00386952999754784,
      0.0037331294846196677,
      0.003598708790023176,
      0.0034662391873241734,
      0.003335692275380728,
      0.0032070401595533926,
      0.003080255361195476,
      0.002955310747859107,
      0.002832179599209984,
      0.0027108356603478016,
      0.00259125287341868,
      0.0024734056699663998,
      0.002357268959542154,
      0.002242817884908698,
      0.0021300280171633553,
      0.00201887520247418,
      0.0019093356709281523,
      0.0018013860449772674,
      0.0016950032857461787,
      0.0015901645773107903,
      0.0014868475295577795,
      0.001385030064944102,
      0.0012846903572355133,
      0.0011858069557057868,
      0.001088358809279775,
      0.0009923250500044787,
      0.0008976851848967993,
      0.0008044189454095599,
      0.0007125063797168136,
      0.0006219277804351171,
      0.0005326638748152016,
      0.0004446956153183926,
      0.000358004123808214,
      0.0002725709103569229,
      0.00018837764132314703,
      0.000105406334778653,
      2.3639321539192958e-05,
      -5.6940964049363214e-05,
      -0.00013635161414840015,
      -0.00021460965814257157,
      -0.00029173188122810214,
      -0.0003677348077750466,
      -0.0004426345879925381,
      -0.0005164471568013504,
      -0.0005891883727172131,
      -0.0006608737874390025,
      -0.0007315187960831471,
      -0.0008011384494454899,
      -0.0008697476785594466,
      -0.0009373611178020079,
      -0.0010039931179365903,
      -0.0010696579805248426,
      -0.0011343698359821968,
      -0.001198142489139445,
      -0.0012609895052839546,
      -0.0013229243459901036,
      -0.0013839602821643627,
      -0.001444110325180457,
      -0.001503387316188976,
      -0.0015618039193041379,
      -0.0016193726330817962,
      -0.0016761057632588912,
      -0.0017320154965508297,
      -0.0017871137066739792,
      -0.0018414122238791424,
      -0.0018949226202456218
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566791805786888,
      10.336616736210493,
      10.098541327868146,
      9.855617757349227,
      9.610311046593102,
      9.364755657788596,
      9.120813912535482,
      8.880033552388975,
      8.643630864796819,
      8.4125226621468,
      8.187336442089792,
      7.968427169338212,
      7.75590636011924,
      7.549679287510199,
      7.349486169421147,
      7.154936542680831,
      6.965555413306675,
      6.780825595694218,
      6.6002188255590335,
      6.423222292326592,
      6.2493558148053765,
      6.078177295840433,
      5.909303147520186,
      5.742418869103537,
      5.577282397718839,
      5.41372902187445,
      5.251670309162172,
      5.091098743063635,
      4.9320784764803065,
      4.774733730662272,
      4.619253180880584,
      4.465891185281179,
      4.3149538658636075,
      4.166808457536887,
      4.021857949094954,
      3.8805097813703417,
      3.7431593785952515,
      3.6101787409862944,
      3.48190883455752,
      3.358646320140505,
      3.2406346853038417,
      3.1280607572274985,
      3.021053488769329,
      2.919677705846628,
      2.823928052695308,
      2.7337336762035083,
      2.6489745175111574,
      2.5694819311283696,
      2.495032552556348,
      2.425387974981657,
      2.3602971476582133,
      2.299477278180856,
      2.2426149387037797,
      2.1893726411369623,
      2.139366282943776,
      2.092221734505816,
      2.0475961318547102,
      2.0051688826313,
      1.9646543928542008,
      1.9258095215314568,
      1.8884417803828968,
      1.8523991590529314,
      1.8175565485789176,
      1.783804917211153,
      1.7510542700656717,
      1.719232414560025,
      1.6882797805713508,
      1.6581460802333703,
      1.628787983969095,
      1.600167459605388,
      1.5722499852166911,
      1.5450018183976786,
      1.518392144458082,
      1.4923935159589652,
      1.4669810980658589,
      1.4421321345576381,
      1.4178255642437234,
      1.3940417423457365,
      1.3707625317846441,
      1.3479722663913771,
      1.3256562326549073,
      1.3037999351810516,
      1.2823892240504506,
      1.2614103716582659,
      1.2408501152890394,
      1.2206956764249002,
      1.2009347650201638,
      1.1815555758886882,
      1.1625467764446722,
      1.1438974930014458,
      1.1255982538358174,
      1.10764215930142,
      1.0900223244753733,
      1.0727316905483706,
      1.0557627961441878,
      1.0391079448513174,
      1.0227598672711662,
      1.0067130599892755,
      0.9909618421630151,
      0.9755000046230363,
      0.9603210725610098,
      0.9454184760869391,
      0.9307856617952359,
      0.9164161640895367,
      0.9023036488996543,
      0.8884419397279221,
      0.8748250325180258,
      0.8614471021509319,
      0.8483025045206803,
      0.8353857746162524,
      0.8226916226505447,
      0.8102149300121437,
      0.7979507430943202,
      0.7858942677282219,
      0.7740408628945729,
      0.7623860351332641,
      0.7509254325943464,
      0.7396548389702505,
      0.7285701681518835,
      0.7176674591778834,
      0.7069428711452614,
      0.6963926780510816,
      0.6860132647259897,
      0.6758011217901679,
      0.6657528417796794,
      0.6558651152569273,
      0.6461347264837041,
      0.6365585107579875,
      0.6271333541243066,
      0.6178562499748735,
      0.6087242923658797,
      0.5997346664296984,
      0.590884640917338,
      0.5821715622429008,
      0.5735928500923659,
      0.5651459932871449,
      0.5568285469339213,
      0.548638128865361,
      0.5405724178022118,
      0.5326291506052316,
      0.524806006148527,
      0.5171002594116418,
      0.509509275164358,
      0.5020306603177047,
      0.49466219956386503,
      0.4874018118048135,
      0.48024752019009503,
      0.4731974311276806,
      0.4662497200498014,
      0.4594026212035984,
      0.45265442024918284,
      0.44600344873612835,
      0.4394480806287715,
      0.4329867291747559,
      0.4266178443958094,
      0.4203399114813062,
      0.4141514488416447,
      0.4080510115710452,
      0.40203743234613326,
      0.39610969620486103,
      0.39026671658746426,
      0.38450734868628506,
      0.378830400143893,
      0.37323465543976614,
      0.3677188913375396,
      0.3622818876276803,
      0.3569224337424371,
      0.3516395511018767,
      0.34643268740039873,
      0.34130092238509363,
      0.33624315149800066,
      0.3312583165386744,
      0.3263455561466925,
      0.3215039941018753,
      0.31673268532821314,
      0.31203064527424584,
      0.30739686934886895,
      0.3028303459624548,
      0.29833006487784997,
      0.29389502283849656,
      0.2895243027738073,
      0.285217057515364,
      0.28097242615733137,
      0.27678952691435643,
      0.2726674653234625,
      0.2686053438438042,
      0.2646022680477636,
      0.26065735057448425,
      0.2567698189249878,
      0.2529392432329423,
      0.2491651285964209,
      0.2454468591932707,
      0.24178374315247506,
      0.23817504202691306,
      0.23461999097159494,
      0.23111781196862147,
      0.22766772269450802,
      0.22426894224743926,
      0.2209206949532509,
      0.21762221308055407,
      0.2143727381577965,
      0.21117145896991726,
      0.20801752855314778,
      0.20491014731649335,
      0.2018485551037771,
      0.19883202180291737,
      0.1958598411900489,
      0.19293132659951578,
      0.1900458078445185,
      0.1872026293397241,
      0.18440114841427022,
      0.181640734445542,
      0.1789207682010523,
      0.17624064106816445,
      0.17359975474206102,
      0.1709975206782459,
      0.16843336003964662,
      0.16590670335591032,
      0.16341699030812468,
      0.16096366935247478,
      0.15854619782388454,
      0.156164041751386,
      0.15381667542945623,
      0.15150358145644166,
      0.1492242505980317,
      0.14697818147612737,
      0.14476488050202055,
      0.1425838618437238,
      0.14043464728827998,
      0.13831676579485153,
      0.13622975381298189,
      0.1341731548525152,
      0.13214651950081335,
      0.1301494052953173,
      0.12818137648991118,
      0.12624200394940582,
      0.12433086519147922,
      0.12244754419435194,
      0.12059163125642038,
      0.11876272299629163,
      0.11696042210561601,
      0.11518433734358004,
      0.11343408342968378,
      0.11170928082852152,
      0.11000955576296062,
      0.10833454011224901,
      0.10668387129028507,
      0.10505719225037755,
      0.10345415124720658,
      0.10187440196001507,
      0.10031760311211999,
      0.09878341862255896,
      0.09727151740617139,
      0.09578157334972295,
      0.09431326527301322,
      0.09286627672202559,
      0.09144029600150035,
      0.09003501607051158,
      0.0886501345308396,
      0.08728535337699192,
      0.08594037895513676,
      0.08461492221108124,
      0.08330869824804152,
      0.082021426420955,
      0.08075283027669848,
      0.07950263738556189,
      0.07827057946980834,
      0.0770563922161185,
      0.07585981515356027,
      0.07468059159866926,
      0.07351846875797738,
      0.07237319757671391,
      0.07124453265853668,
      0.07013223211275982,
      0.0690360577066503,
      0.06795577481161498,
      0.06689115219399355,
      0.06584196191376697,
      0.06480797943217369,
      0.06378898363353738,
      0.06278475657009983,
      0.06179508350145795,
      0.06081975289201059,
      0.059858556130801883,
      0.0589112878439699,
      0.05797774566582509,
      0.05705773011683398,
      0.0561510446224721,
      0.055257495600176204,
      0.05437689215355166,
      0.05350904625696661,
      0.052653772667710694,
      0.05181088889623922,
      0.050980215053474935,
      0.050161573764741146,
      0.049354790398763226,
      0.04855969288379841,
      0.04777611166097395,
      0.04700387950031903,
      0.0462428317998828,
      0.04549280620773533,
      0.04475364280262615,
      0.04402518403269195,
      0.04330727459650142,
      0.042599761462459695,
      0.04190249382783192,
      0.041215323148966,
      0.040538103063062866,
      0.03987068920987459,
      0.03921293939815695,
      0.038564713506893555,
      0.03792587346133821,
      0.037296283181897795,
      0.03667580858502986,
      0.036064317541142206,
      0.035461679817578515,
      0.034867766993742784,
      0.03428245269838162,
      0.033705612326614114,
      0.0331371231452571,
      0.03257686415129439,
      0.032024716022791375,
      0.031480561139366765,
      0.030944283756353153,
      0.030415769733969422,
      0.029894906584503354,
      0.029381583401883845,
      0.028875690994834204,
      0.02837712169522462,
      0.027885769510190693,
      0.02740152976475271,
      0.02692429951375633,
      0.026453977170685237,
      0.025990462708761937,
      0.025533657562357356,
      0.02508346454042522,
      0.024639787929837113,
      0.024202533369048086,
      0.023771607796963013,
      0.02334691952138943,
      0.02292837822922281,
      0.02251589483012205,
      0.022109381642345265,
      0.021708752201932493,
      0.021313921328260464,
      0.02092480515488528,
      0.02054132098547296,
      0.02016338706701134,
      0.0197909231540429,
      0.01942385000322929,
      0.0190620895340932,
      0.018705564879181815,
      0.018354200229248788,
      0.018007920822547693,
      0.017666653040001347,
      0.01733032439029766,
      0.016998863333886227,
      0.01667219939085173,
      0.016350263125359817,
      0.01603298608362084,
      0.015720300786130518,
      0.015412140768775602,
      0.01510844058936674,
      0.014809135641197242,
      0.014514162357700673,
      0.014223458033135713,
      0.013936960894954484,
      0.013654609944155667,
      0.013376345231587832,
      0.013102107635406016,
      0.012831838871088611,
      0.012565481415434954,
      0.012302978618333595,
      0.012044274779390624,
      0.011789314929518726,
      0.011538044812580294,
      0.011290410996972736,
      0.011046360926982447,
      0.010805842735428957,
      0.010568805218672157,
      0.010335198010987423,
      0.010104971412361972,
      0.009878076549763403,
      0.009654465223530521,
      0.009434089896557321,
      0.00921690376846237,
      0.009002860700134589,
      0.008791915153696319,
      0.008584022300013604,
      0.00837913791906626,
      0.0081772185255311,
      0.007978221223553393,
      0.0077821037865239044,
      0.0075888244722599595,
      0.007398342107465975,
      0.00721061628864722,
      0.007025607496677988,
      0.0068432786406648965,
      0.006663593035563234,
      0.006486513705043697,
      0.006312003828128276,
      0.006140026721682978,
      0.005970546078238198,
      0.005803525937881641,
      0.005638930814358567,
      0.005476725650461888,
      0.005316875738726353,
      0.005159346992390561,
      0.005004105715877756,
      0.004851118771509333,
      0.0047003534175701816,
      0.004551777370641783,
      0.004405358818782272,
      0.004261066455841091,
      0.004118869396590355,
      0.003978737303704221,
      0.0038406402050521014,
      0.0037045484459134227,
      0.003570432973507794,
      0.0034382650573909065,
      0.003308016456657554,
      0.00317965915638108,
      0.003053165779344961,
      0.00292850937034796,
      0.002805663245947127,
      0.002684600940542369,
      0.0025652966559039057,
      0.0024477249564310508,
      0.002331860535580671,
      0.0022176785810071216,
      0.002105154740756843,
      0.0019942648812282747,
      0.001884985329809206,
      0.0017772926990489678,
      0.0016711639222154256,
      0.0015665762707975292,
      0.001463507386156728,
      0.0013619352680541614,
      0.0012618381311197227,
      0.001163194554740661,
      0.0010659834496737652,
      0.0009701838798236036,
      0.0008757754575019351,
      0.0007827379767059397,
      0.0006910515120902231,
      0.0006006964935003352,
      0.0005116535908720924,
      0.000423903752817017,
      0.0003374281445781807,
      0.00025220831579905284,
      0.00016822608371943568,
      8.546349340772449e-05,
      3.902696337434888e-06,
      -7.647378222966135e-05,
      -0.00015568308684238956,
      -0.00023374211151732678,
      -0.0003106676362136461,
      -0.0003864761573226415,
      -0.0004611838314957279,
      -0.000534806589995858,
      -0.0006073602077220103,
      -0.0006788602822857916,
      -0.0007493220854646603,
      -0.0008187606294217371,
      -0.0008871907574377612,
      -0.0009546272722790678,
      -0.001021084555247895,
      -0.0010865767817094028,
      -0.001151117970525464,
      -0.0012147219052829345,
      -0.0012774022267881802,
      -0.0013391722828608465,
      -0.0014000453144854543,
      -0.0014600343232361972,
      -0.0015191521795697006,
      -0.0015774116097668938,
      -0.0016348251187015817,
      -0.0016914049053509913,
      -0.0017471630314999011,
      -0.001802111424548582,
      -0.0018562619180858908,
      -0.0019096260437415536
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566788952901959,
      10.336602792683399,
      10.098509099441676,
      9.85556210920315,
      9.610227920471491,
      9.364642154577039,
      9.120668222654874,
      8.879855154200047,
      8.64342002109483,
      8.412279909867548,
      8.187062462439803,
      7.968122666441319,
      7.755571972056111,
      7.549315521938582,
      7.349093259480048,
      7.154514399684523,
      6.965103911872891,
      6.7803446005965045,
      6.599708232028979,
      6.422682113081089,
      6.248786382429974,
      6.077579152559952,
      5.9086769977287155,
      5.741765681330816,
      5.576603421574316,
      5.413025799883026,
      5.250944711367927,
      5.090353003437195,
      4.931315121027271,
      4.773955470289986,
      4.618463102894207,
      4.465092723045719,
      4.314150933702236,
      4.166005651348382,
      4.021059851784025,
      3.8797208503267298,
      3.742383854709173,
      3.6094206464295264,
      3.481171952317731,
      3.3579339674413724,
      3.239949675935992,
      3.1274053807793574,
      3.020429505577024,
      2.9190861924514593,
      2.8233693543685847,
      2.7332073894941438,
      2.6484797950371384,
      2.5690172747220994,
      2.494595795228851,
      2.4249768472310707,
      2.3599092529907377,
      2.2991099692563477,
      2.242265418748615,
      2.189037902104405,
      2.1390430093514734,
      2.0919068720772054,
      2.04728690015885,
      2.0048627973891757,
      1.9643494129003098,
      1.9255041188047823,
      1.888134843271591,
      1.8520898761106226,
      1.8172443148581983,
      1.7834892993696334,
      1.7507349659896685,
      1.718909226787733,
      1.687952595093555,
      1.6578148418917549,
      1.6284526799501848,
      1.5998281068942655,
      1.571906632713427,
      1.544654545449291,
      1.5180410314519535,
      1.492038643083915,
      1.4666225454356576,
      1.4417699822714898,
      1.4174598918730335,
      1.3936726288624235,
      1.370390078562244,
      1.3475966064259026,
      1.3252774791062885,
      1.3034181876253883,
      1.2820045725636984,
      1.261022899391244,
      1.240459900193057,
      1.220302792329129,
      1.2005392829237926,
      1.1811575641440344,
      1.162146302119207,
      1.1434946216708186,
      1.125193222808338,
      1.1072352217353651,
      1.0896136819045223,
      1.072321501649242,
      1.0553511848964228,
      1.0386950118050606,
      1.0223458925174689,
      1.0062983786876714,
      0.9905466897932756,
      0.9750845501484626,
      0.9599054398639983,
      0.9450027590576686,
      0.9303699343693747,
      0.9160004861165777,
      0.9018880707006734,
      0.8880265053505997,
      0.8744097819503251,
      0.8610320723443952,
      0.8478877302435796,
      0.8349712888835019,
      0.8222774578003036,
      0.8098011173449599,
      0.7975373133650782,
      0.7854812511163779,
      0.7736282892181068,
      0.7619739337454949,
      0.7505138322448455,
      0.7392437682647698,
      0.7281596554173776,
      0.7172575322154541,
      0.7065335573546367,
      0.6959840047732806,
      0.6856052585850679,
      0.6753938090678804,
      0.665346248525314,
      0.655459266931656,
      0.6457296484334634,
      0.6361542258547163,
      0.626729884869422,
      0.6174536189140922,
      0.6083225222428711,
      0.5993337798749064,
      0.5904846603586372,
      0.5817725097064587,
      0.5731947474792245,
      0.5647488622867208,
      0.5564324084210507,
      0.5482430035865853,
      0.5401783261645529,
      0.5322361125090791,
      0.5244140695503032,
      0.5167095126504514,
      0.5091197829838373,
      0.5016424715969487,
      0.4942753524892819,
      0.4870163370417351,
      0.47986344328671954,
      0.4728147741584084,
      0.4658685024280392,
      0.4590228603025138,
      0.452276131959758,
      0.4456266481172648,
      0.43907278193945143,
      0.4326129458481985,
      0.42624558933709994,
      0.41996919697729945,
      0.4137822868464994,
      0.407683452489148,
      0.4016715805913506,
      0.39574562919115197,
      0.38990449621708295,
      0.3841470174716668,
      0.3784719874887931,
      0.3728781817313871,
      0.36736437101094804,
      0.36192933100932373,
      0.3565718484175293,
      0.3512910498461969,
      0.34608638476508585,
      0.3409568855117669,
      0.33590142354268826,
      0.3309189452519666,
      0.32600859202636295,
      0.32116946798682533,
      0.31640061499089145,
      0.31170103963117524,
      0.3070697314784046,
      0.3025056748641583,
      0.2980078568577466,
      0.2935752749797132,
      0.2892070239544369,
      0.28490225569965166,
      0.28066010401942165,
      0.27647968264014117,
      0.27236009399131544,
      0.2683004385749513,
      0.2642998204730372,
      0.260357351420392,
      0.256472282599426,
      0.2526441855540194,
      0.2488725556641497,
      0.2451567706949337,
      0.24149613428056002,
      0.2378899050858318,
      0.23433731613196634,
      0.2308375881521011,
      0.2273899378286047,
      0.2239935835277428,
      0.2206477491270703,
      0.2173516664217191,
      0.2141045768071875,
      0.21090566309156863,
      0.2077540778524662,
      0.2046490237166348,
      0.20158974175382213,
      0.19857550285284498,
      0.1956056014792791,
      0.1926793513851799,
      0.1897960827593985,
      0.1869551400575719,
      0.1841558807725922,
      0.18139767444070784,
      0.17867990176690365,
      0.17600195408236735,
      0.17336323306976478,
      0.17076315036721446,
      0.16820112708925,
      0.1656765938414511,
      0.16318899019925315,
      0.16073776471852005,
      0.15832237464463075,
      0.15594228591765988,
      0.15359697293331953,
      0.15128591831423194,
      0.14900861275367816,
      0.1467645548501089,
      0.14455325113489256,
      0.14237421577244427,
      0.14022697047295474,
      0.13811104426109683,
      0.13602597355199733,
      0.1339713018734434,
      0.1319465798638071,
      0.1299513649785737,
      0.12798522155539144,
      0.1260477206190994,
      0.12413843972675682,
      0.12225696283256396,
      0.12040288027405774,
      0.11857578867668742,
      0.11677529068078801,
      0.1150009950500614,
      0.11325251649415467,
      0.11152947555496799,
      0.10983149849879247,
      0.10815821733527846,
      0.1065092694606046,
      0.10488429792902933,
      0.10328295101148165,
      0.1017048823821763,
      0.10014975089697234,
      0.09861722040811913,
      0.09710695994556255,
      0.09561864339430523,
      0.09415194959514596,
      0.09270656222078041,
      0.09128216952831542,
      0.08987846465571117,
      0.08849514505698558,
      0.08713191287493088,
      0.08578847461741425,
      0.0844645412500005,
      0.08315982803993577,
      0.08187405431374285,
      0.08060694359453306,
      0.07935822358272229,
      0.0781276259888335,
      0.0769148864704141,
      0.07571974465556931,
      0.07454194399969577,
      0.07338123172899562,
      0.0722373588770046,
      0.07111008009019501,
      0.06999915364361743,
      0.06890434141259429,
      0.0678254086984071,
      0.06676212418410356,
      0.06571426012201595,
      0.06468159214665832,
      0.06366389909322556,
      0.06266096316220031,
      0.06167256961263825,
      0.06069850695036983,
      0.05973856676554022,
      0.058792543651277514,
      0.05786023533113015,
      0.056941442359073176,
      0.05603596824007812,
      0.055143619447524356,
      0.05426420532434694,
      0.05339753788668106,
      0.052543431892081376,
      0.05170170484158535,
      0.050872176998531936,
      0.0500546710328473,
      0.049249012355161485,
      0.04845502898699654,
      0.0476725514125568,
      0.04690141260833657,
      0.046141447945267026,
      0.04539249519537547,
      0.04465439443941939,
      0.04392698817103554,
      0.04321012113627668,
      0.04250364041734035,
      0.04180739533096971,
      0.04112123749139617,
      0.04044502039840852,
      0.0397785998566874,
      0.0391218337960132,
      0.03847458212544648,
      0.03783670686839517,
      0.037208071847679776,
      0.036588543179415144,
      0.03597798879552915,
      0.03537627848574161,
      0.034783284003683156,
      0.03419887901209837,
      0.03362293905130937,
      0.03305534133983232,
      0.032495964902986285,
      0.03194469054269544,
      0.03140140081751697,
      0.03086598000400134,
      0.030338313927907038,
      0.029818290173528973,
      0.02930579808993012,
      0.028800728377612928,
      0.028302973437648444,
      0.027812427326376923,
      0.027328985589558603,
      0.026852545254699812,
      0.026383004899371128,
      0.02592026446443155,
      0.0254642254479751,
      0.025014790723735296,
      0.02457186459371063,
      0.024135352833616265,
      0.02370516242603047,
      0.023281201781714313,
      0.022863380629258415,
      0.02245161000529348,
      0.02204580226900727,
      0.021645870928930788,
      0.021251730953454444,
      0.02086329844255031,
      0.020480490697045016,
      0.02010322628261121,
      0.019731424901827145,
      0.01936500732136232,
      0.01900389556412309,
      0.018648012871099382,
      0.018297283457850602,
      0.01795163268839853,
      0.017610986909986748,
      0.01727527371161678,
      0.016944421627459984,
      0.0166183601877384,
      0.016297020024257695,
      0.015980332897407922,
      0.015668231276037184,
      0.01536064869627248,
      0.015057519818925877,
      0.01475878014170695,
      0.014464366121511226,
      0.014174215039866019,
      0.013888265132502364,
      0.013606455575974664,
      0.013328726433740423,
      0.013055018643834588,
      0.012785273920822236,
      0.012519434832584634,
      0.012257444886697812,
      0.011999248372696478,
      0.011744790277005356,
      0.011494016506140802,
      0.01124687362997526,
      0.011003309238471096,
      0.01076327137490327,
      0.010526709061521616,
      0.010293571901954034,
      0.010063810349081987,
      0.009837375395885835,
      0.009614218987683748,
      0.009394293598094391,
      0.0091775525135634,
      0.008963949497064173,
      0.00875343916685057,
      0.00854597672270799,
      0.008341518126511351,
      0.008140019764015105,
      0.007941438833635307,
      0.007745733095591431,
      0.007552860928873976,
      0.007362781295331178,
      0.007175453750196803,
      0.00699083849335422,
      0.006808897440425187,
      0.006629594271168166,
      0.006452892435433136,
      0.006278755398080028,
      0.006107146680021415,
      0.005938030166768968,
      0.005771369877485255,
      0.005607130434557139,
      0.00544527686106986,
      0.0052857745960656795,
      0.005128589588080223,
      0.004973688269609457,
      0.004821037419027052,
      0.004670604297202392,
      0.004522356735362053,
      0.004376263047063056,
      0.004232292018341085,
      0.004090412670630182,
      0.003950594597063129,
      0.0038128079450507712,
      0.003677023171762917,
      0.0035432112527972954,
      0.00341134347254158,
      0.003281391559807567,
      0.0031533276785271087,
      0.003027124407457936,
      0.002902754670551249,
      0.002780191968030615,
      0.0026594099036987254,
      0.0025403827045689968,
      0.0024230848077616825,
      0.002307491135684892,
      0.002193576959317772,
      0.0020813177629092645,
      0.0019706894786416396,
      0.0018616684685386817,
      0.0017542313996073242,
      0.0016483552224295034,
      0.0015440173159972943,
      0.0014411953543202868,
      0.0013398672189035051,
      0.0012400112361989739,
      0.0011416060226222113,
      0.0010446305278470308,
      0.0009490639139297714,
      0.0008548857789286016,
      0.0007620759113614195,
      0.00067061449714349,
      0.00058048196542619,
      0.0004916589435379848,
      0.000404126416407192,
      0.0003178655754426281,
      0.00023285797394532987,
      0.00014908541620243984,
      6.65299880165307e-05,
      -1.4826077282050778e-05,
      -9.500011859196567e-05,
      -0.00017400942071557724,
      -0.00025187081125937376,
      -0.00032860089856529223,
      -0.0004042161369263816,
      -0.00047873275748602117,
      -0.0005521667811336143,
      -0.0006245339414345435,
      -0.0006958496446750383,
      -0.0007661291957427763,
      -0.0008353876864241091,
      -0.0009036400165812279,
      -0.0009709007106491072,
      -0.0010371841912588853,
      -0.0011025047338315908,
      -0.001166876223828263,
      -0.0012303124147044796,
      -0.0012928269503005123,
      -0.0013544331636575714,
      -0.0014151443203796678,
      -0.0014749734544283648,
      -0.001533933400223737,
      -0.001592036792064764,
      -0.0016492959993482314,
      -0.0017057232957857513,
      -0.0017613307806539382,
      -0.0018161304133077958,
      -0.0018701338694294006,
      -0.0019233526505345639
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566786116903424,
      10.336588930088928,
      10.098477056827473,
      9.855506778151327,
      9.610145261488645,
      9.36452928109378,
      9.120523333338195,
      8.879677733715894,
      8.643210337439012,
      8.412038503265219,
      8.186790019326276,
      7.967819893173787,
      7.755239503855098,
      7.548953866279921,
      7.348702650159304,
      7.154094749675079,
      6.96465509596216,
      6.7798664853060515,
      6.599200712259444,
      6.42214520168929,
      6.248220414191675,
      6.076984672769762,
      5.908054712641603,
      5.741116559006079,
      5.575928710646376,
      5.412327040659528,
      5.2502237703394785,
      5.089612109342323,
      4.930556792896504,
      4.773182410345393,
      4.617678387686778,
      4.464299772845304,
      4.313353646819152,
      4.165208609783055,
      4.020267619797927,
      3.878937858128212,
      3.741614316323351,
      3.6086685565566294,
      3.480441066134973,
      3.3572275761570465,
      3.2392705694328847,
      3.1267558262194193,
      3.019811243209316,
      2.9185002822264177,
      2.822816120552943,
      2.732686420007932,
      2.6479902357994165,
      2.5685576245829136,
      2.494163887069843,
      2.424570412932794,
      2.3595258990813504,
      2.2987470540122255,
      2.2419201015538603,
      2.188707188088392,
      2.1387236071642293,
      2.0915957484228347,
      2.0469812949989596,
      2.004560245075985,
      1.9640478872105773,
      1.9252021030285007,
      1.8878312349267359,
      1.8517838709469066,
      1.8169353148064984,
      1.783176875811451,
      1.7504188203974274,
      1.7185891651936192,
      1.6876285058019829,
      1.657486672182106,
      1.6281204185372034,
      1.5994917721805053,
      1.5715662751969428,
      1.5443102458863684,
      1.5176928706752904,
      1.4916867022778657,
      1.4662669060452949,
      1.4414107250353456,
      1.4170970969610774,
      1.3933063755403738,
      1.3700204678780625,
      1.3472237717435092,
      1.3249015345365436,
      1.3030392336091812,
      1.2816227001516396,
      1.260638192506531,
      1.2400724369432476,
      1.2199126468902373,
      1.2001465268763756,
      1.1807622667012203,
      1.1617485303637993,
      1.1430944410547037,
      1.1247908707260414,
      1.1068309518908863,
      1.0892076953568246,
      1.0719139572518859,
      1.054942207198991,
      1.0382847013495415,
      1.0219345647811073,
      1.0058863564750746,
      0.9901342008320304,
      0.9746717579888353,
      0.9594924648420057,
      0.9445896926093225,
      0.9299568482954305,
      0.9155874393067511,
      0.9014751128709317,
      0.8876136802928859,
      0.8739971292323563,
      0.8606196288370271,
      0.8474755306642964,
      0.8345593668329876,
      0.821865845870066,
      0.8093898471612107,
      0.7971264159246213,
      0.7850707568058786,
      0.7732182280247495,
      0.7615643353808587,
      0.7501047259781465,
      0.7388351826945444,
      0.7277516190204675,
      0.7168500731235083,
      0.7061267031710566,
      0.6955777826093235,
      0.6851996953653464,
      0.6749889314705404,
      0.6649420825320937,
      0.6550558381812197,
      0.6453269822351506,
      0.635752344954817,
      0.626328811247196,
      0.6170533751594848,
      0.6079231309451785,
      0.5989352638949199,
      0.5900870421778218,
      0.5813758116594195,
      0.5727989913424022,
      0.5643540695459361,
      0.5560386005571577,
      0.5478502015152698,
      0.539786550024342,
      0.5318453822551706,
      0.5240244336174402,
      0.5163210600005071,
      0.508732578518088,
      0.5012565642424933,
      0.49389078026760547,
      0.48663313074809394,
      0.4794816285622227,
      0.4724343729038788,
      0.46548953399674314,
      0.45864534219585407,
      0.4519000803341009,
      0.44525207800142436,
      0.4386997075711593,
      0.43224138082517766,
      0.4258755467873547,
      0.4196006893416982,
      0.4134153260111968,
      0.40731808861849994,
      0.4013079176855848,
      0.3953837487834862,
      0.38954445869402565,
      0.38378886422345715,
      0.3781157471841213,
      0.37252387438079765,
      0.3670120107745417,
      0.3615789280388987,
      0.35622341006994507,
      0.35094468835923637,
      0.3457422145138949,
      0.34061497388660844,
      0.3355618137879576,
      0.33058169347157573,
      0.3256737455875007,
      0.32083705584500727,
      0.31607065354690694,
      0.3113735368980542,
      0.3067446898153946,
      0.30218309282185046,
      0.29768773043409674,
      0.2932576058951439,
      0.2888918235036546,
      0.28458952936566945,
      0.2803498525700273,
      0.2761719029984131,
      0.27205478061107613,
      0.2679975839778897,
      0.26399941603085253,
      0.260059387557931,
      0.2561767734677968,
      0.2523511467197544,
      0.24858199318367347,
      0.2448686841009262,
      0.241210518727988,
      0.23760675276727974,
      0.23405661733673758,
      0.23055933164198877,
      0.22711411148646338,
      0.22372017458114646,
      0.22037674444409544,
      0.2170830525369469,
      0.21383833886412823,
      0.21064178095292282,
      0.20749253182092062,
      0.20438979589011003,
      0.20133281570841718,
      0.19832086302482257,
      0.19535323288005227,
      0.19242923938079862,
      0.18954821300311536,
      0.1867094983588383,
      0.18391245304177792,
      0.18115644660827665,
      0.17844085984131566,
      0.17576508415651648,
      0.1731285212506064,
      0.17053058268576354,
      0.16797068959993605,
      0.16544827252379798,
      0.16296277108782561,
      0.16051363377737587,
      0.1581003178954785,
      0.15572228934507165,
      0.15337902247181906,
      0.15107000001885515,
      0.1487947126144185,
      0.1465526588217558,
      0.14434334519785963,
      0.14216628587238717,
      0.1400210026124879,
      0.13790702455298567,
      0.13582388813239757,
      0.13377113688471517,
      0.13174832139863676,
      0.12975499920204836,
      0.12779073463551083,
      0.12585509870188533,
      0.12394766887246818,
      0.12206802921207974,
      0.1202157701618201,
      0.11839048834193279,
      0.1165917864374453,
      0.1148192732746755,
      0.11307256349107066,
      0.1113512777454806,
      0.10965504234955814,
      0.10798348924209393,
      0.10633625602618745,
      0.10471298562403564,
      0.10311332638224756,
      0.10153693200368973,
      0.09998346144671555,
      0.09845257865104683,
      0.09694395254118658,
      0.09545725720564698,
      0.09399217148298014,
      0.09254837905398774,
      0.09112556827048598,
      0.08972343231195393,
      0.08834166878608396,
      0.0869799797521249,
      0.08563807185472756,
      0.08431565595253816,
      0.08301244739115066,
      0.08172816568100702,
      0.0804625343938469,
      0.07921528127061189,
      0.07798613811495278,
      0.07677484066967977,
      0.07558112849424935,
      0.07440474518709009,
      0.07324543797930344,
      0.0721029579783294,
      0.0709770598398977,
      0.06986750198724814,
      0.06877404632240103,
      0.0676964582681527,
      0.06663450663845422,
      0.06558796369930821,
      0.06455660510855978,
      0.06354020984276104,
      0.062538560040843,
      0.06155144103761217,
      0.060578641440789525,
      0.05961995290191156,
      0.05867517019143617,
      0.05774409097981144,
      0.05682651597936932,
      0.05592224870293293,
      0.05503109565932687,
      0.05415286613993539,
      0.05328737234045237,
      0.052434429130502114,
      0.051593854005410604,
      0.050765467314898324,
      0.04994909189787239,
      0.049144553248676594,
      0.04835167941321523,
      0.04757030094573359,
      0.04680025079848668,
      0.04604136445608006,
      0.045293479818565754,
      0.04455643706808319,
      0.04383007877978057,
      0.043114249850682296,
      0.04240879732320326,
      0.041713570585540635,
      0.041028421094521685,
      0.04035320265006622,
      0.039687771080721856,
      0.039031984395155095,
      0.03838570260771689,
      0.037748787721178054,
      0.0371211039145241,
      0.03650251713454784,
      0.0358928953686826,
      0.03529210853732387,
      0.03470002853704436,
      0.034116529091062345,
      0.03354148569855807,
      0.03297477563562337,
      0.03241627793765637,
      0.031865873560242265,
      0.03132344515610898,
      0.030788876995462025,
      0.0302620551279489,
      0.029742867144485766,
      0.0292312023614896,
      0.02872695166182968,
      0.028230007596702265,
      0.02774026422639024,
      0.027257617100664336,
      0.026781963410256737,
      0.026313201680287224,
      0.02585123200338246,
      0.025395955846043313,
      0.02494727619126667,
      0.02450509741349368,
      0.024069325241759587,
      0.023639866766163378,
      0.023216630532327556,
      0.022799526355111507,
      0.022388465379460702,
      0.02198335994855957,
      0.021584123731640814,
      0.021190671672204044,
      0.020802919896680847,
      0.02042078586967474,
      0.020044188038697088,
      0.019673046221156325,
      0.019307281372711177,
      0.01894681558959364,
      0.018591571987962897,
      0.018241474943287747,
      0.01789644986403302,
      0.01755642326224979,
      0.01722132264341419,
      0.01689107664880778,
      0.01656561487121606,
      0.01624486809424322,
      0.01592876795111849,
      0.015617247063829318,
      0.015310239173473445,
      0.015007678861354554,
      0.014709501597955305,
      0.014415643954404747,
      0.014126043340862196,
      0.013840638003012974,
      0.013559367193478668,
      0.013282171022607335,
      0.01300899037631914,
      0.012739767154975587,
      0.012474443962934437,
      0.012212964277888042,
      0.011955272534447663,
      0.01170131393164062,
      0.011451034288084938,
      0.011204380281075845,
      0.010961299332744746,
      0.010721739671226391,
      0.010485650330892647,
      0.010252980984347205,
      0.010023682101280879,
      0.009797704824141483,
      0.00957500096714831,
      0.009355523126410496,
      0.009139224672007132,
      0.008926059456869787,
      0.00871598210650337,
      0.008508947942638298,
      0.008304912871708453,
      0.008103833408923053,
      0.007905666774848368,
      0.007710370702091427,
      0.007517903619335776,
      0.007328224609044287,
      0.0071412932469836045,
      0.0069570697233545704,
      0.006775515188993903,
      0.0065965930343322805,
      0.00642026720618706,
      0.006246501424134615,
      0.0060752594768343875,
      0.005906505309207961,
      0.0057402031542030255,
      0.005576317780598222,
      0.005414814284577218,
      0.005255658181908866,
      0.005098815437867114,
      0.004944252435399274,
      0.004791936123298199,
      0.00464183387990459,
      0.0044939134677777085,
      0.0043481432888920184,
      0.004204492044235996,
      0.00406292887833759,
      0.003923423404314149,
      0.0037859458009293755,
      0.0036504665363350274,
      0.0035169565387024176,
      0.0033853871899213604,
      0.003255730366276406,
      0.0031279582133597983,
      0.003002043386552991,
      0.0028779588610509488,
      0.0027556779912334657,
      0.002635174571415725,
      0.0025164227710787923,
      0.0023993971290149647,
      0.0022840726440771647,
      0.002170424562657503,
      0.002058428529562177,
      0.0019480604604616284,
      0.0018392966575749695,
      0.0017321137735550082,
      0.0016264888664319335,
      0.001522399379267099,
      0.0014198229499100246,
      0.0013187375395939732,
      0.0012191215117255637,
      0.0011209535023610545,
      0.0010242124318867829,
      0.0009288775558166192,
      0.0008349285105113197,
      0.000742345131500255,
      0.0006511075715418881,
      0.0005611963179999164,
      0.0004725920209517675,
      0.0003852755953013078,
      0.00029922841304841043,
      0.00021443198203984274,
      0.00013086810870195875,
      4.851892838697481e-05,
      -3.263322821840789e-05,
      -0.00011260572010822804,
      -0.00019141568963158243,
      -0.00026908005967046696,
      -0.0003456155365387717,
      -0.00042103855474027936,
      -0.0004953652459227233,
      -0.0005686115595742187,
      -0.0006407932048441083,
      -0.0007119256484600824,
      -0.0007820240673824918,
      -0.0008511034719681514,
      -0.0009191787904456314,
      -0.0009862645775777907,
      -0.0010523751798592936,
      -0.0011175247283808543,
      -0.0011817273023866964,
      -0.0012449966728724754,
      -0.0013073463311381295,
      -0.0013687897136391279,
      -0.0014293399491552118,
      -0.0014890100315351077,
      -0.0015478127622684543,
      -0.0016057608263891506,
      -0.001662866549522719,
      -0.0017191421372316333,
      -0.0017745996655908387,
      -0.001829251090461731,
      -0.0018831080909407336,
      -0.0019361822869104033
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56678329697748,
      10.336575146495829,
      10.098445193068901,
      9.855451750601521,
      9.610063044308315,
      9.364417000369551,
      9.120379196332763,
      8.879501230664474,
      8.643001740239079,
      8.411798354465828,
      8.186519003857244,
      7.96751871628281,
      7.754908802771115,
      7.548594148547948,
      7.348314148383427,
      7.153677375304847,
      6.964208725373917,
      6.7793909850527285,
      6.598695978857689,
      6.421611250631093,
      6.247657582218785,
      6.076393506251944,
      5.907435918503115,
      5.7404711058047395,
      5.575257847345582,
      5.4116323078512965,
      5.249507031360732,
      5.088875588893661,
      4.929803003436084,
      4.772414046481195,
      4.616898515051379,
      4.4635117971319405,
      4.312561448659088,
      4.164416749839038,
      4.019480639336948,
      3.8781601643151347,
      3.7408500998676915,
      3.6079217882262644,
      3.4797154778974275,
      3.356526437088756,
      3.238596648617764,
      3.1261113717931193,
      3.019197978873053,
      2.9179192533425335,
      2.8222676125154127,
      2.7321700177637758,
      2.6475050844824057,
      2.5681022247663625,
      2.4937360756884988,
      2.424167926533584,
      2.3591463506791617,
      2.298387811327112,
      2.241578332088792,
      2.188379899463112,
      2.138407522738298,
      2.091287848982649,
      2.046678832978035,
      2.004260766431364,
      1.9637493769039385,
      1.9249030533207063,
      1.8875305490832848,
      1.8514807494717187,
      1.8166291639992584,
      1.782867271749588,
      1.7501054677996843,
      1.7182718720227637,
      1.6873071622837172,
      1.6571612271372054,
      1.6277908621844324,
      1.5991581238679726,
      1.5712285858490087,
      1.5439685970200778,
      1.5173473444115673,
      1.491337380996638,
      1.465913871573154,
      1.4410540588901044,
      1.4167368800744666,
      1.3929426877107383,
      1.3696534113648298,
      1.3468534803190284,
      1.3245281226222718,
      1.30266280190286,
      1.2812433392896823,
      1.2602559861848281,
      1.239687463730593,
      1.2195249814959093,
      1.1997562409723834,
      1.1803694296021594,
      1.161353209919801,
      1.1426967029759154,
      1.1243909527112625,
      1.1064291070740306,
      1.08880412517863,
      1.0715088207255334,
      1.054535628807146,
      1.0378767817431471,
      1.021525618751298,
      1.0054767060523204,
      0.9897240732836143,
      0.9742613171205233,
      0.959081831499684,
      0.9441789586341109,
      0.9295460856330174,
      0.9151767067790562,
      0.9010644608251486,
      0.8872031529331926,
      0.8735867664700969,
      0.8602094676118507,
      0.8470656060952806,
      0.834149712337311,
      0.8214564936232448,
      0.8089808288489148,
      0.7967177625672084,
      0.7846624990801334,
      0.7728103960913172,
      0.7611569586241109,
      0.7496978334210183,
      0.7384288033777259,
      0.7273457813036932,
      0.7164448052987095,
      0.7057220331507308,
      0.6951737377064283,
      0.6847963023941556,
      0.6745862168116932,
      0.6645400722390238,
      0.6546545580775551,
      0.6449264576730769,
      0.635352598757512,
      0.6259298656812275,
      0.6166552530069177,
      0.6075258553237075,
      0.5985388574607723,
      0.5896915273640801,
      0.5809812108554895,
      0.572405326761394,
      0.5639613628052492,
      0.5556468726580506,
      0.5474594731956823,
      0.5393968418249535,
      0.5314567140445762,
      0.5236368535847756,
      0.515934656955025,
      0.5083474178593531,
      0.5008726953605226,
      0.4935082415619329,
      0.48625195287408207,
      0.4791018370364798,
      0.4720559896437157,
      0.46511257843567516,
      0.45826983200447624,
      0.45152603167158356,
      0.4448795058851247,
      0.43832862608497614,
      0.43187180349832016,
      0.4255074864070419,
      0.41923415821748056,
      0.4130503360296944,
      0.40695472372536057,
      0.400946270907938,
      0.39502389418693856,
      0.3891864507563064,
      0.3834327404970968,
      0.3777615338446015,
      0.37217158979702514,
      0.36666166792856497,
      0.36123053631192914,
      0.3558770179564647,
      0.3506004271127962,
      0.345400176237806,
      0.34027521141609335,
      0.335224360664191,
      0.33024659919389326,
      0.32534105312743417,
      0.3205067911151892,
      0.3157428310424848,
      0.31104816346174324,
      0.3064217670102678,
      0.3018626188749829,
      0.297369701032619,
      0.29294202273996617,
      0.28857869744780373,
      0.28427886586626366,
      0.28004165251615804,
      0.27586616354431787,
      0.27175149615743277,
      0.26769674711528213,
      0.26370101810539986,
      0.25976341910289114,
      0.2558832485843426,
      0.2520600809689308,
      0.2482933925712856,
      0.24458254826707487,
      0.24092684286405391,
      0.2373255290947414,
      0.23377783607695787,
      0.23028298165877162,
      0.22684018066711722,
      0.22344865022526778,
      0.2201076133052876,
      0.2168163011278358,
      0.21357395060553525,
      0.2103797348069734,
      0.2072328091535612,
      0.20413237971885595,
      0.20107769013410204,
      0.1980680129844048,
      0.19510264371032382,
      0.19218089664988616,
      0.1893021024181131,
      0.18646560587675787,
      0.1836707647001844,
      0.18091694849527756,
      0.17820353809041817,
      0.17552992487718108,
      0.17289551047051793,
      0.17029970644450496,
      0.16774193406125984,
      0.16522162371209623,
      0.16273821504319116,
      0.16029115667842836,
      0.15787990589559958,
      0.155503928611467,
      0.15316269912221925,
      0.15085569998743878,
      0.14858242197462104,
      0.14634236378418655,
      0.14413503187323795,
      0.14195994040258705,
      0.1398166110973044,
      0.13770457311000914,
      0.1356233628928386,
      0.1335725239762127,
      0.13155160697199678,
      0.12956016940042966,
      0.12759777563310556,
      0.12566399674878037,
      0.12375841018674937,
      0.1218806000433892,
      0.12003015677798684,
      0.11820667703459924,
      0.11640976363561609,
      0.11463902534668971,
      0.1128940768961206,
      0.11117453891779497,
      0.10948003774772334,
      0.10781020540455177,
      0.10616467944858884,
      0.10454310293532323,
      0.10294512425355355,
      0.10137039707665091,
      0.09981858036932298,
      0.09828933818336241,
      0.0967823395148627,
      0.09529725841362652,
      0.09383377386793107,
      0.09239156955984058,
      0.09097033394846461,
      0.0895697601722109,
      0.08818954589079522,
      0.08682939336576975,
      0.08548900920719893,
      0.08416810437714661,
      0.08286639414809567,
      0.08158359805390383,
      0.08031943977023388,
      0.07907364712423005,
      0.07784595204235903,
      0.07663609020435429,
      0.07544380136279633,
      0.07426882912039777,
      0.0731109208644107,
      0.07196982766381384,
      0.07084530427496426,
      0.06973710917349718,
      0.06864500422768546,
      0.06756875492139286,
      0.0665081302182447,
      0.06546290256259414,
      0.06443284762596815,
      0.06341774432615833,
      0.06241737483276781,
      0.06143152472164327,
      0.060459982550208236,
      0.05950253998125899,
      0.05855899190559791,
      0.05762913614735604,
      0.056712773434535395,
      0.055809707361271985,
      0.054919744449955794,
      0.05404269417015871,
      0.05317836873958709,
      0.05232658310061773,
      0.05148715488491489,
      0.0506599043690689,
      0.04984465449727186,
      0.04904123088562336,
      0.04824946153423113,
      0.04746917711451908,
      0.04670021072891043,
      0.0459423979282476,
      0.04519557664878443,
      0.04445958716192774,
      0.04373427205503776,
      0.04301947628436647,
      0.04231504712280942,
      0.04162083389353506,
      0.04093668820159648,
      0.04026246388435025,
      0.03959801688183012,
      0.038943205172106414,
      0.03829788895632554,
      0.03766193036219976,
      0.037035193428536166,
      0.03641754428509945,
      0.035808850999463064,
      0.03520898357492705,
      0.03461781391445717,
      0.03403521572498129,
      0.033461064638560044,
      0.03289523796277287,
      0.032337614965163554,
      0.03178807662787267,
      0.031246505707810318,
      0.030712786507990503,
      0.030186805166785215,
      0.02966844928629541,
      0.02915760823770782,
      0.02865417299609258,
      0.028158036083564958,
      0.02766909165157464,
      0.027187235251757275,
      0.026712364133765227,
      0.026244377085235394,
      0.025783174201525875,
      0.025328657086425108,
      0.024880728753653044,
      0.02443929362916643,
      0.02400425757177586,
      0.023575527714523203,
      0.02315301257225395,
      0.022736621937848964,
      0.022326267095400653,
      0.021921860498493533,
      0.02152331589350854,
      0.021130548274274037,
      0.020743473894674944,
      0.02036201015369166,
      0.019986075755304714,
      0.019615590447573526,
      0.01925047519796566,
      0.0188906521383974,
      0.018536044616341313,
      0.01818657700902793,
      0.017842174770823685,
      0.01750276443999497,
      0.01716827366260806,
      0.016838631042675453,
      0.01651376635846238,
      0.016193610287303203,
      0.015878094572899137,
      0.01556715193577558,
      0.015260716083209275,
      0.014958721646658407,
      0.014661104262442591,
      0.014367800542190676,
      0.014078747970616137,
      0.01379388483849404,
      0.013513150433423752,
      0.013236484858888379,
      0.012963829181071886,
      0.012695125185060229,
      0.012430315687312943,
      0.012169344260486773,
      0.01191215519648861,
      0.011658693708041422,
      0.011408905726378546,
      0.011162738020078219,
      0.01092013811902536,
      0.010681054222983126,
      0.01044543541440573,
      0.010213231476229002,
      0.009984392910996407,
      0.00975887098219544,
      0.009536617554756797,
      0.009317585249765285,
      0.009101727385905468,
      0.008888997955203568,
      0.00867935163984857,
      0.008472743672417096,
      0.00826913009292101,
      0.008068467499801942,
      0.007870713159687865,
      0.007675824877845467,
      0.007483761080683709,
      0.007294480888004508,
      0.007107943978019103,
      0.00692411050539205,
      0.006742941294846019,
      0.006564398870237301,
      0.006388447505056277,
      0.006215051409153932,
      0.00604417456293959,
      0.00587578109136455,
      0.005709835409234729,
      0.00554630241877064,
      0.005385147244586326,
      0.00522633546580102,
      0.005069833108147656,
      0.0049156066440195975,
      0.004763622956626996,
      0.004613849521453412,
      0.0044662542913380355,
      0.004320805494524428,
      0.004177471936092162,
      0.004036222926270824,
      0.0038970281536626307,
      0.003759857789100942,
      0.003624682311013045,
      0.0034914726315287215,
      0.0033602001857372488,
      0.0032308368386001823,
      0.0031033549400800342,
      0.002977727082877269,
      0.0028539261542284994,
      0.0027319256869250143,
      0.0026116995455684813,
      0.002493221830563842,
      0.002376467139003359,
      0.002261410451998655,
      0.0021480270940858904,
      0.0020362926806155117,
      0.0019261832066668329,
      0.0018176750163188945,
      0.0017107448815733698,
      0.001605369828441714,
      0.001501527352324296,
      0.0013991949921069858,
      0.0012983508530840656,
      0.0011989733489488332,
      0.0011010411806772916,
      0.001004533285007723,
      0.0009094289105089775,
      0.0008157075679902957,
      0.0007233491599573769,
      0.0006323339844468604,
      0.0005426424413830388,
      0.00045425525470313736,
      0.0003671535428873792,
      0.0002813185666760904,
      0.00019673196091016807,
      0.00011337552249420174,
      3.12313679430866e-05,
      -4.971813683205442e-05,
      -0.00012949043317030343,
      -0.0002081025898433334,
      -0.00028557149098726786,
      -0.00036191376885113993,
      -0.00043714580544717505,
      -0.0005112837332917562,
      -0.0005843434796304639,
      -0.000656340720814458,
      -0.0007272909184230515,
      -0.000797209227266225,
      -0.0008661106821666359,
      -0.0009340101043078409,
      -0.0010009220321088876,
      -0.0010668608165193526,
      -0.0011318406392366721,
      -0.0011958754793383935,
      -0.0012589791235365687,
      -0.0013211650358070778,
      -0.001382446556785573,
      -0.0014428368286769227,
      -0.0015023487833844744,
      -0.0015609953523273302,
      -0.001618789039905086,
      -0.0016757421827308014,
      -0.0017318670551804305,
      -0.0017871757141457482,
      -0.001841680033689296,
      -0.0018953916114111372,
      -0.0019483220496390404
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.5667804922086,
      10.33656143773494,
      10.098413501717062,
      9.855397015638538,
      9.609981255049716,
      9.364305290897617,
      9.120235781227521,
      8.879325603835918,
      8.642794172310348,
      8.411559385408301,
      8.18624931791988,
      7.967219017679461,
      7.754579727055942,
      7.548236203513087,
      7.34792756825252,
      7.153262073474399,
      6.963764577674968,
      6.778917859792592,
      6.598193773628329,
      6.421079980543999,
      6.247097585488307,
      6.075805331332311,
      5.906820274548671,
      5.739828961844261,
      5.574590450027021,
      5.410941194304765,
      5.248794061994703,
      5.088142982815908,
      4.929053267518608,
      4.771649867069298,
      4.616122947514607,
      4.462728220234733,
      4.311773714278315,
      4.163629402485036,
      4.018698203694494,
      3.8773870299002176,
      3.740090439035049,
      3.6071795536182147,
      3.47899438222806,
      3.3558297311784635,
      3.2379270841825654,
      3.1254711817831944,
      3.018588873106214,
      2.917342265962015,
      2.8217230206515294,
      2.7316573567267883,
      2.647023462998413,
      2.567650155190492,
      2.4933114084565746,
      2.4237684114413662,
      2.358769614168028,
      2.2980312365397513,
      2.2412391031762082,
      2.1880548842443623,
      2.1380934975983408,
      2.0909818402704987,
      2.046378132300738,
      2.0039629528617677,
      1.963452460844013,
      1.9246055462062854,
      1.8872313690945834,
      1.8511791077009374,
      1.816324473895699,
      1.7825591149128057,
      1.749793553337088,
      1.7179560113444903,
      1.6869872476043828,
      1.656837208462746,
      1.6274627305166796,
      1.598825899135055,
      1.5708923198567883,
      1.5436283718037132,
      1.5170032418873354,
      1.490989482918958,
      1.4655622599905906,
      1.4406988153694458,
      1.4163780855220478,
      1.3925804222799734,
      1.3692877772340375,
      1.3464846112490785,
      1.3241561325813378,
      1.302287791300861,
      1.2808653987397687,
      1.2598751993157045,
      1.2393039091500926,
      1.2191387339543103,
      1.199367372232582,
      1.1799780091684213,
      1.1609593048599367,
      1.142300378768444,
      1.1239924470660287,
      1.106028673376708,
      1.0884019647504124,
      1.0711050924941574,
      1.0541304568450018,
      1.0374702667777358,
      1.0211180759316563,
      1.0050684576403206,
      0.9893153465996657,
      0.9738522755385675,
      0.9586725954549231,
      0.9437696194226947,
      0.9291367153325035,
      0.9147673643061958,
      0.9006551957179217,
      0.8867940088492854,
      0.8731777830333529,
      0.8598006820366855,
      0.8466570532166162,
      0.8337414257448236,
      0.8210485059163924,
      0.8085731718287822,
      0.7963104672633448,
      0.7842555957652101,
      0.7724039145384924,
      0.7607509286327065,
      0.7492922843408174,
      0.7380237639025942,
      0.7269412800422855,
      0.7160408701405159,
      0.7053186917405725,
      0.6947710172988066,
      0.68439422995235,
      0.6741848189449039,
      0.6641393751557222,
      0.6542545873771604,
      0.6445272385344173,
      0.6349541541852579,
      0.6255322182742532,
      0.6162584255469078,
      0.6071298705178061,
      0.5981437379314967,
      0.5892972957843168,
      0.5805878895172332,
      0.5720129373406014,
      0.5635699266773193,
      0.5552564109010569,
      0.5470700067134961,
      0.539008391107823,
      0.5310692990495535,
      0.5232505216596532,
      0.5155494966350722,
      0.5079634946828634,
      0.5004900587861786,
      0.49312692988473267,
      0.48587199705662815,
      0.478723262703597,
      0.4716788187492819,
      0.46473683042840325,
      0.4578955243950318,
      0.45115318061436593,
      0.44450812654711125,
      0.4379587326756556,
      0.4315034094450751,
      0.42514060462493747,
      0.41886880116968306,
      0.4126865157315857,
      0.40659252577894683,
      0.4005857918823495,
      0.3946652098024101,
      0.38882961259015003,
      0.3830777842325456,
      0.3774084842011199,
      0.37182046424758414,
      0.36631247914108855,
      0.36088329337418606,
      0.3555317829231924,
      0.35025733716258395,
      0.3450593160833563,
      0.33993662928713536,
      0.3348880869794243,
      0.3299126812546846,
      0.32500953229270174,
      0.32017769228904736,
      0.3154161681464456,
      0.31072394286674276,
      0.30609999005984057,
      0.3015432834458307,
      0.2970528026346835,
      0.2926275628017279,
      0.2882666868097597,
      0.2839693099268395,
      0.27973455211049175,
      0.2755615154837092,
      0.27144929469285417,
      0.2673969849307475,
      0.2634036866038236,
      0.25946850892675477,
      0.2555907737928697,
      0.25177005694250026,
      0.2480058251989808,
      0.24429743702075232,
      0.24064418300731805,
      0.23704531297095324,
      0.23350005401550453,
      0.2300076225923236,
      0.2265672326402394,
      0.22317810052913628,
      0.21983944879874018,
      0.21655050849177654,
      0.21331051316195246,
      0.21011863148226279,
      0.20697402137891024,
      0.20387589058892538,
      0.20082348380071394,
      0.19781607424382083,
      0.19485295787196838,
      0.1919334493548933,
      0.18905687949609062,
      0.18622259330407379,
      0.1834299485198796,
      0.18067831477428747,
      0.1779670728505093,
      0.17529561429204552,
      0.17266334074454312,
      0.17006966374198385,
      0.16751400438972877,
      0.1649957931671003,
      0.16251446984916385,
      0.16006948287923972,
      0.15766028955287614,
      0.15528635580503777,
      0.1529471560009422,
      0.150642172781332,
      0.1483708968225803,
      0.14613282670694908,
      0.1439274690251569,
      0.14175433791624806,
      0.1396129550739957,
      0.13750284972404203,
      0.13542355832396077,
      0.13337462439242376,
      0.13135559853100276,
      0.12936603834598573,
      0.12740550816246643,
      0.12547357900666375,
      0.12356982857682033,
      0.12169384094854294,
      0.11984520655434161,
      0.11802352189627806,
      0.11622838990153231,
      0.11445941937590526,
      0.11271622511816283,
      0.11099842783746082,
      0.10930565395665884,
      0.10763753550357552,
      0.10599371000160225,
      0.10437382049930921,
      0.10277751550354491,
      0.10120444881008378,
      0.09965427936448132,
      0.09812667124190595,
      0.09662129352338938,
      0.09513782034810364,
      0.09367593064562131,
      0.09223530807530703,
      0.09081564123003305,
      0.0894166232843999,
      0.08803795200852696,
      0.08667932966441017,
      0.08534046289873363,
      0.08402106279728146,
      0.08272084464938334,
      0.08143952804553772,
      0.08017683675140498,
      0.07893249867638856,
      0.07770624561792265,
      0.07649781345582325,
      0.07530694201433685,
      0.07413337488082464,
      0.07297685960435041,
      0.07183714735441518,
      0.07071399297822334,
      0.06960715485133308,
      0.06851639498619978,
      0.0674414789377747,
      0.06638217573143322,
      0.06533825774626366,
      0.0643095007411177,
      0.06329568381048357,
      0.06229658929199063,
      0.06131200267337566,
      0.0603417126538851,
      0.05938551107152367,
      0.05844319268925228,
      0.05751455527484855,
      0.05659939966665143,
      0.05569752961854953,
      0.0548087518023877,
      0.05393287561084089,
      0.053069713419452845,
      0.05221908025193442,
      0.051380793853386134,
      0.05055467454417178,
      0.04974054539270152,
      0.0489382320671088,
      0.04814756265262862,
      0.04736836779601842,
      0.04660048071667952,
      0.045843737004527985,
      0.04509797453212377,
      0.04436303373474416,
      0.04363875732773543,
      0.04292499032505249,
      0.0422215800028161,
      0.0415283758115346,
      0.040845229556908905,
      0.04017199502054602,
      0.03950852823687258,
      0.0388546872032774,
      0.038210332112731143,
      0.03757532522916557,
      0.036949530668871106,
      0.036332814733088,
      0.035725045545891836,
      0.03512609316041102,
      0.03453582945285471,
      0.033954128322655534,
      0.03338086541348537,
      0.03281591826452822,
      0.03225916605493798,
      0.031710489864034894,
      0.031169772365973913,
      0.030636898010993185,
      0.03011175299089587,
      0.029594225067959484,
      0.029084203639268644,
      0.028581579775099907,
      0.028086246136901034,
      0.02759809690123166,
      0.027117027785081398,
      0.026642935981840088,
      0.026175720236317413,
      0.02571528077318008,
      0.02526151929488239,
      0.024814338813450593,
      0.024373643913765203,
      0.02393934042447769,
      0.02351133561596656,
      0.023089538098130323,
      0.02267385777454546,
      0.022264205897050422,
      0.021860495042661736,
      0.021462638901647554,
      0.02107055251711753,
      0.020684152219540435,
      0.020303355520129563,
      0.019928081214068912,
      0.019558249062302708,
      0.019193780126463836,
      0.018834596694669692,
      0.018480622091884762,
      0.018131780761154518,
      0.017787998222036888,
      0.01744920100764941,
      0.017115316847769846,
      0.0167862745000596,
      0.016462003687042752,
      0.016142435151621913,
      0.01582750081815792,
      0.01551713343024283,
      0.015211266643237898,
      0.014909835266889354,
      0.01461277492060843,
      0.014320022188196436,
      0.014031514623703972,
      0.01374719071026107,
      0.013466989694986631,
      0.013190851808998129,
      0.012918718122005497,
      0.012650530572010796,
      0.012386231966719842,
      0.01212576591172846,
      0.011869076748639873,
      0.011616109705612098,
      0.011366810860676932,
      0.01112112686658129,
      0.010879005288641936,
      0.01064039462170923,
      0.01040524395450758,
      0.010173502986288913,
      0.009945122293914869,
      0.009720053131395429,
      0.009498247646004612,
      0.009279658353159966,
      0.009064238669323406,
      0.00885194272256857,
      0.008642725096282325,
      0.008436541210904544,
      0.00823334704080591,
      0.0080330991579044,
      0.007835754840959133,
      0.007641272073482156,
      0.007449609302550286,
      0.007260725644413547,
      0.007074580781783265,
      0.006891135053369354,
      0.006710349311100612,
      0.006532185249818673,
      0.006356606809119866,
      0.006183578619403765,
      0.006013064985751617,
      0.0058450303584058096,
      0.005679439358583037,
      0.0055162568822302105,
      0.005355448189892639,
      0.005196978910466796,
      0.005040815078260652,
      0.004886923286177293,
      0.004735270535337282,
      0.004585824347184469,
      0.004438552604355936,
      0.004293423710892632,
      0.004150406500011049,
      0.004009470156190514,
      0.003870584546048215,
      0.0037337196608667298,
      0.0035988461798229223,
      0.0034659351509645146,
      0.0033349580368119626,
      0.003205886704099078,
      0.00307869337056124,
      0.002953350763014654,
      0.0028298319085227545,
      0.002708110302151698,
      0.002588159809139826,
      0.0024699546705941196,
      0.0023534694975544876,
      0.0022386792416313,
      0.0021255592364907492,
      0.002014085215370352,
      0.0019042331205953264,
      0.001795979301686281,
      0.0016893006133061046,
      0.0015841742035515082,
      0.0014805774179658554,
      0.001378488041282917,
      0.0012778840639799571,
      0.0011787438502436978,
      0.0010810462249630265,
      0.0009847700977363505,
      0.0008898948446060377,
      0.0007964000425798052,
      0.0007042656694491147,
      0.0006134718850040312,
      0.0005239991568446459,
      0.00043582829823461406,
      0.00034894031642256827,
      0.0002633165861445475,
      0.00017893873827911727,
      9.578861963112442e-05,
      1.384841242103357e-05,
      -6.689951825847927e-05,
      -0.00014647254108070263,
      -0.00022488780758635906,
      -0.0003021621095898534,
      -0.0003783120595789495,
      -0.0004533539842668479,
      -0.0005273039567305975,
      -0.0006001779423609144,
      -0.0006719915815814352,
      -0.0007427603467163996,
      -0.0008124993926941504,
      -0.0008812237057763857,
      -0.0009489480858870256,
      -0.00101568702664889,
      -0.0010814549505289764,
      -0.0011462659346102098,
      -0.0012101339184459982,
      -0.0012730726442899054,
      -0.0013350955839809549,
      -0.001396216099805362,
      -0.0014564473379952228,
      -0.001515802153101843,
      -0.001574293311224355,
      -0.001631933387305688,
      -0.0016887347891177444,
      -0.0017447097996679645,
      -0.0017998702881951336,
      -0.0018542281385101993,
      -0.0019077951174913696,
      -0.001960582711420741
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566777700460554,
      10.336547791402186,
      10.098381947827727,
      9.855342507186274,
      9.609899788639297,
      9.364194005983057,
      9.120092895815787,
      8.879150612232742,
      8.642587346598283,
      8.41132126542889,
      8.18598058583628,
      7.966920376716245,
      7.754251811506199,
      7.547879519481124,
      7.347542348691837,
      7.1528482318522535,
      6.963321992671522,
      6.778446400353831,
      6.597693340129421,
      6.420550591187297,
      6.246539578841018,
      6.0752192552881485,
      5.906206836254507,
      5.739189130356957,
      5.573925472587219,
      5.410252607105866,
      5.248083722647107,
      5.087413107112478,
      4.928306357054509,
      4.7708886028337645,
      4.615350378663652,
      4.461947716254517,
      4.310989115198644,
      4.162845239775879,
      4.017918988543776,
      3.876617137256102,
      3.739334025983281,
      3.606440557461717,
      3.478276501552117,
      3.3551362025448332,
      3.237260646330232,
      3.1248340553350324,
      3.017982756972191,
      2.9167681842616737,
      2.821181243140107,
      2.7311474045181776,
      2.646544432693867,
      2.5672005609569393,
      2.4928891042951737,
      2.4233711512055414,
      2.3583950295299885,
      2.2976767185910423,
      2.2409018451023126,
      2.1877317515396912,
      2.137781278707381,
      2.090677572856959,
      2.0460791188260927,
      2.003666782617877,
      1.9631571533651826,
      1.9243096198568566,
      1.8869337469547478,
      1.8508790046545731,
      1.816021307126115,
      1.7822524687408998,
      1.7494831387705523,
      1.7176416410159423,
      1.6866688150279916,
      1.6565146644545363,
      1.6271360668505916,
      1.5984951363149966,
      1.5705575100627907,
      1.5432895974928837,
      1.5166605853393442,
      1.4906430267482318,
      1.465212086326684,
      1.4403450056875775,
      1.4160207206130786,
      1.3922195817980259,
      1.368923569897414,
      1.3461171688324356,
      1.3237855678465547,
      1.3019142035658473,
      1.2804888781952355,
      1.2594958293255951,
      1.2389217680589202,
      1.2187538960439306,
      1.1989799086906918,
      1.1795879890674068,
      1.1605667954841787,
      1.1419054918795324,
      1.1235954430174722,
      1.1056297828184938,
      1.0880013734047034,
      1.0707029479010377,
      1.0537268759322331,
      1.0370653790940598,
      1.0207122094931471,
      1.004661914242825,
      0.9889083398641362,
      0.9734449597918752,
      0.9582650850893952,
      0.9433620017139736,
      0.9287290596364196,
      0.9143597277003205,
      0.9002476270825528,
      0.8863865514960386,
      0.8727704765486118,
      0.8593935628844759,
      0.846250156291427,
      0.8333347844340362,
      0.8206421527088035,
      0.8081671383508914,
      0.7959047847611536,
      0.7838502950661546,
      0.7719990258752903,
      0.7603464817361079,
      0.748888308597611,
      0.7376202882994217,
      0.726538332819978,
      0.7156384794291093,
      0.7049168853963825,
      0.6943698226813343,
      0.6839936740474166,
      0.673784928325628,
      0.6637401760615718,
      0.6538561056563205,
      0.6441294995522621,
      0.634557180764643,
      0.6251360325123069,
      0.6158630500878325,
      0.6067353282936419,
      0.5977500517697012,
      0.5889044881097948,
      0.5801959825041199,
      0.5716219530570266,
      0.5631798867397277,
      0.5548673366297696,
      0.5466819187723103,
      0.5386213096696018,
      0.5306832439801857,
      0.5228655124912049,
      0.5151656084269313,
      0.5075808074354257,
      0.500108631664805,
      0.4927468079743875,
      0.4854932157237156,
      0.47834585059699086,
      0.4713027999600147,
      0.4643622256109685,
      0.45752235187289436,
      0.4507814570907963,
      0.44413786750047635,
      0.43758995269541306,
      0.4311361222549793,
      0.4247748232263035,
      0.41850453807989596,
      0.4123238119537538,
      0.40623148117882524,
      0.4002264891013623,
      0.39430771378277196,
      0.3884739681594235,
      0.3827240223681613,
      0.37705662668912077,
      0.3714705264733644,
      0.36596447209010147,
      0.3605372252318351,
      0.3551877150585203,
      0.34991540612959793,
      0.34471960604130664,
      0.33959918804482087,
      0.3345529511376027,
      0.3295799011450423,
      0.32467914594268665,
      0.31984972230021463,
      0.3150906267635969,
      0.3104008354919364,
      0.3057793173011712,
      0.3012250427007666,
      0.29673698922570013,
      0.29231418114969837,
      0.28795574661987705,
      0.2836608159003814,
      0.2794285045524399,
      0.2752579111326511,
      0.2711481278272275,
      0.26709824792993736,
      0.2631073707412601,
      0.25917460462269964,
      0.25529929495577586,
      0.25148101908900966,
      0.24771923428527645,
      0.24401329263154817,
      0.2403624803739431,
      0.23676604441162089,
      0.23322320979056632,
      0.22973319162265435,
      0.22629520287561938,
      0.22290845932409606,
      0.21957218311925142,
      0.2162856048518186,
      0.21304795502682558,
      0.2098583979905088,
      0.2067160940526311,
      0.20362025255615268,
      0.20057011930372268,
      0.1975649681375444,
      0.19460409553067826,
      0.1916868164909607,
      0.18881246206782124,
      0.18598037733440975,
      0.1831899201308972,
      0.18044046016994436,
      0.17773137823536828,
      0.17506206581460976,
      0.1724319245920082,
      0.16984036617075954,
      0.1672868115774681,
      0.16477069132448677,
      0.1622914449299571,
      0.15984852105263203,
      0.15744137703941977,
      0.1550694788202691,
      0.15273230067322147,
      0.15042932513220725,
      0.14816004298752297,
      0.14592395297833016,
      0.14372056157710128,
      0.1415493829228719,
      0.13940993876992225,
      0.13730175820368168,
      0.13522437777897345,
      0.13317734103088139,
      0.13116019863625175,
      0.12917250816345663,
      0.12721383403422046,
      0.1252837472131246,
      0.12338182536260743,
      0.12150765260481432,
      0.11966081935464362,
      0.11784092230589864,
      0.11604756434804554,
      0.11428035435626059,
      0.11253890720426812,
      0.110822843573794,
      0.10913178985240367,
      0.1074653781772231,
      0.10582324616685218,
      0.10420503683007003,
      0.10261039877227017,
      0.10103898577157502,
      0.09949045676035645,
      0.09796447590023402,
      0.096460712369431,
      0.09497884028161084,
      0.09351853869774261,
      0.09207949141947813,
      0.09066138695160171,
      0.089263918493268,
      0.08788678383722551,
      0.08652968521504523,
      0.08519232951430906,
      0.08387442786918152,
      0.08257569563505604,
      0.08129585240667626,
      0.08003462199077715,
      0.07879173234901636,
      0.07756691538704995,
      0.07635990698374659,
      0.07517044705028224,
      0.07399827921561436,
      0.07284315099310791,
      0.07170481371279791,
      0.07058302223859551,
      0.06947753505131589,
      0.0683881143194623,
      0.06731452559822634,
      0.06625653800884805,
      0.06521392401088523,
      0.06418645937457453,
      0.06317392324459213,
      0.062176097984154036,
      0.06119276921225166,
      0.06022372568455,
      0.059268759265111444,
      0.0583276648079498,
      0.057400240205621525,
      0.056486286410806164,
      0.05558560723710114,
      0.05469800944112301,
      0.05382330248124612,
      0.05296129867793153,
      0.05211181309201743,
      0.0512746635468634,
      0.050449670501984296,
      0.04963665703823127,
      0.048835448872197734,
      0.048045874262452576,
      0.04726776390663942,
      0.04650095096215266,
      0.0457452711779109,
      0.04500056258741699,
      0.04426666577060085,
      0.04354342347277011,
      0.0428306807953193,
      0.04212828496229333,
      0.04143608552819261,
      0.040753934269581536,
      0.04008168514926815,
      0.03941919422184351,
      0.038766319610905944,
      0.03812292150047606,
      0.037488862229950244,
      0.03686400609789397,
      0.036248219437647985,
      0.035641370382677846,
      0.03504332901080918,
      0.03445396742622738,
      0.033873159505443076,
      0.03330078093325722,
      0.032736709245836486,
      0.032180823779095404,
      0.03163300568716489,
      0.031093137768257707,
      0.03056110455712358,
      0.030036792240026436,
      0.029520088610824773,
      0.029010883179815917,
      0.028509067091992676,
      0.02801453305764688,
      0.027527175257680392,
      0.027046889604313812,
      0.026573573353127825,
      0.026107125299491225,
      0.025647445713398234,
      0.02519443631209184,
      0.024748000270165098,
      0.02430804212057661,
      0.02387446778829748,
      0.02344718463582389,
      0.023026101310406263,
      0.022611127857415925,
      0.022202175495381487,
      0.02179915686670212,
      0.021401985803521307,
      0.02101057746759482,
      0.020624848164383626,
      0.020244715441661346,
      0.0198700981737142,
      0.019500916281566742,
      0.019137090833053396,
      0.01877854412808974,
      0.018425199553151583,
      0.018076981554696708,
      0.017733815725087147,
      0.017395628688806182,
      0.017062348304964853,
      0.016733903378212345,
      0.01641022362790585,
      0.016091239857862656,
      0.015776884003110444,
      0.015467088990722534,
      0.015161788489234693,
      0.014860917310439021,
      0.014564411230047938,
      0.01427220691404871,
      0.013984241899397783,
      0.013700454711814705,
      0.013420784707318435,
      0.01314517212077862,
      0.012873558136902798,
      0.012605884704069661,
      0.012342094592927438,
      0.01208213149010464,
      0.011825939866437376,
      0.01157346488625866,
      0.011324652663181478,
      0.011079450061345126,
      0.010837804741696617,
      0.010599665089929936,
      0.010364980268819188,
      0.010133700177591581,
      0.009905775452589988,
      0.00968115734378516,
      0.009459797803281166,
      0.009241649653013492,
      0.009026666336044509,
      0.008814801772253177,
      0.008606010679851417,
      0.008400248588748329,
      0.008197471564131616,
      0.007997636231266588,
      0.007800699961662863,
      0.007606620705765019,
      0.007415357006059501,
      0.007226868037901106,
      0.007041113487528385,
      0.006858053622838159,
      0.006677649442839417,
      0.006499862378234817,
      0.006324655482044926,
      0.0061519935839378075,
      0.005981841510790691,
      0.005814163948918064,
      0.0056489257317483945,
      0.005486091835143207,
      0.005325627666421528,
      0.00516749892830629,
      0.0050116719106119804,
      0.004858113148033576,
      0.004706789568638922,
      0.004557668822134337,
      0.004410718815566913,
      0.004265907988375281,
      0.004123205169156593,
      0.003982579682580446,
      0.0038440013751743153,
      0.00370744049058272,
      0.0035728676226569164,
      0.0034402538038587342,
      0.003309570448491138,
      0.003180789501542634,
      0.003053883322006359,
      0.0029288245360374093,
      0.0028055863304830937,
      0.0026841421635427722,
      0.0025644658701304956,
      0.0024465317436525827,
      0.0023303144223083714,
      0.0022157889804748656,
      0.00210293072275598,
      0.0019917154114044654,
      0.0018821191073687292,
      0.0017741182929861005,
      0.0016676897093764777,
      0.0015628103796588415,
      0.0014594576906817756,
      0.001357609507687406,
      0.001257244011041725,
      0.0011583396997920062,
      0.001060875243514464,
      0.0009648297102423138,
      0.0008701824017304401,
      0.0007769128548845959,
      0.0006850010602481301,
      0.000594427275424232,
      0.000505172068432193,
      0.00041721620958574187,
      0.0003305406723648039,
      0.0002451268577060862,
      0.00016095652722004022,
      7.801150916002081e-05,
      -3.7260550482894246e-06,
      -8.42737362811482e-05,
      -0.00016364886127262667,
      -0.00024186849165485873,
      -0.00031894939534840566,
      -0.0003949081889562273,
      -0.00046976116745828857,
      -0.0005435245018783563,
      -0.0006162140927380379,
      -0.0006878455307778584,
      -0.0007584342218095887,
      -0.0008279952817571015,
      -0.0008965437359723336,
      -0.0009640943173634838,
      -0.0010306615115367448,
      -0.001096259620051125,
      -0.0011609027529919588,
      -0.001224604814281231,
      -0.0012873795628157425,
      -0.0013492404689678442,
      -0.0014102008123021497,
      -0.0014702738036292025,
      -0.0015294722678309443,
      -0.0015878089295893875,
      -0.0016452963298035105,
      -0.0017019468175331028,
      -0.001757772579396866,
      -0.0018127856812108199,
      -0.0018669979751181065,
      -0.0019204210700846044,
      -0.001973066440889936
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56677492000401,
      10.336534198956901,
      10.098350517034207,
      9.855288204007376,
      9.609818616642567,
      9.364083111857532,
      9.119950501103306,
      8.878976213331757,
      8.642381213990827,
      8.4110839385528,
      8.185712738937273,
      7.966622712550828,
      7.753924963220666,
      7.547523992094571,
      7.347158375039937,
      7.152435725666813,
      6.962880832651357,
      6.777976458037024,
      6.5971945149102815,
      6.420022900979361,
      6.245983364612924,
      6.074635067364175,
      5.905595384156222,
      5.738551384248534,
      5.573262680298001,
      5.409566304760371,
      5.2473757670308565,
      5.086685711261741,
      4.92756201924819,
      4.770129999995516,
      4.6145805545680645,
      4.461170032908563,
      4.310207404155264,
      4.162064021951608,
      4.017142762093727,
      3.875850263422463,
      3.738580647717124,
      3.6057045977026343,
      3.477561643518294,
      3.3544456679179544,
      3.236597160347444,
      3.1241998268691775,
      3.0173794740636524,
      2.9161968618700467,
      2.8206421444626213,
      2.730640046238898,
      2.6460679085468173,
      2.5667533839665193,
      2.4924691291748764,
      2.4229761330559256,
      2.358022603011117,
      2.2973242807375085,
      2.240566596439783,
      2.187410565486468,
      2.1374709526746507,
      2.090375152582826,
      2.0457819144768936,
      2.0033723905288867,
      1.9628635988589869,
      1.9240154257012718,
      1.886637840014276,
      1.8505806034180037,
      1.8157198311188971,
      1.7819475034779353,
      1.7491743978894834,
      1.7173289374426235,
      1.6863520426667904,
      1.6561937749582116,
      1.6268110524563375,
      1.5981660183226503,
      1.5702243408600152,
      1.5429524597614244,
      1.516319562358694,
      1.490298201275762,
      1.4648635405366335,
      1.4399928216078308,
      1.4156649791248572,
      1.3918603630442643,
      1.368560984853864,
      1.3457513480583578,
      1.323416623735445,
      1.3015422358088238,
      1.280113976823325,
      1.2591180774646848,
      1.2385412439879828,
      1.2183706741991709,
      1.1985940607330556,
      1.1791995842996903,
      1.1601759012779564,
      1.1415122501496209,
      1.1232001283045483,
      1.1052326091608966,
      1.0876025158160036,
      1.0703025471648886,
      1.053325044276213,
      1.036662328964167,
      1.0203083066681495,
      1.004257414705759,
      0.9885034266050586,
      0.9730397663385865,
      0.9578597120256489,
      0.9429565276353711,
      0.9283235478328954,
      0.913954231171156,
      0.8998421921469368,
      0.8859812197513225,
      0.8723652860444874,
      0.8589885496353808,
      0.8458453549087116,
      0.8329302284391117,
      0.8202378745792585,
      0.8077631698080254,
      0.7955011568930893,
      0.7834470384902743,
      0.771596170864136,
      0.7599440578492785,
      0.7484863451166749,
      0.7372188142200493,
      0.7261373769615822,
      0.7152380699751342,
      0.7045170500348271,
      0.6939705889387618,
      0.6835950690796809,
      0.6733869788010804,
      0.6633429082381683,
      0.6534595455006631,
      0.6437336720357278,
      0.6341621087158299,
      0.6247417389418901,
      0.6154695580883964,
      0.6063426608821906,
      0.5973582318501346,
      0.5885135385806816,
      0.5798059258767734,
      0.571232811395754,
      0.5627916820276254,
      0.5544800902369575,
      0.5462956517561307,
      0.5382360425842277,
      0.5302989970095001,
      0.5224823051169203,
      0.5147835158231769,
      0.5071999097537647,
      0.4997289884874535,
      0.4923684646620384,
      0.4851162076244698,
      0.47797020627594244,
      0.4709285433827891,
      0.4639893776460084,
      0.4571509310146502,
      0.45041148004319187,
      0.44376934967343645,
      0.4372229085907463,
      0.43077056561557503,
      0.4244107671280878,
      0.4181419950677235,
      0.41196283254766547,
      0.4058721693572192,
      0.39986892630458937,
      0.393951960284763,
      0.3881200654475332,
      0.3823719993940044,
      0.37670650375614034,
      0.37112231807250723,
      0.36561818874408164,
      0.3601928746094369,
      0.354845403620444,
      0.34957525356829433,
      0.34438168615321185,
      0.33926354196063024,
      0.3342196195090501,
      0.3292489352269425,
      0.3243505771955822,
      0.31952356912712143,
      0.31476689858339385,
      0.31007953569591346,
      0.3054604453574655,
      0.30090859531286096,
      0.2964229612745201,
      0.29200258045408983,
      0.2876465814921112,
      0.2833540901361184,
      0.27912421756238365,
      0.2749560589976864,
      0.2708487044784911,
      0.2668012457586137,
      0.26281278099734795,
      0.25888241774322934,
      0.2550095247919944,
      0.25119368088539723,
      0.24743433405700963,
      0.24373082989511216,
      0.2400824503427634,
      0.23648843935968059,
      0.23294801999613354,
      0.22946040603568402,
      0.22602480949864792,
      0.2226404455881124,
      0.21930653600119562,
      0.216022311052873,
      0.21278699798161063,
      0.20959975686864618,
      0.20645975045614257,
      0.20336618974212264,
      0.20031832146356976,
      0.19731542032778795,
      0.19435678328760955,
      0.19144172563697553,
      0.1885695784414803,
      0.18573968704116933,
      0.18295140933575155,
      0.18020411504221034,
      0.17749718510877824,
      0.17483001087623587,
      0.172201994028229,
      0.16961254617858748,
      0.16706108840054149,
      0.16454705122496124,
      0.16206987429348915,
      0.15962900611104705,
      0.15722390401222072,
      0.1548540338839537,
      0.15251887004392925,
      0.1502178949824721,
      0.1479505995535729,
      0.1457164823739558,
      0.14351504996305914,
      0.14134581654237702,
      0.13920830382467178,
      0.13710204103478582,
      0.13502656465347593,
      0.13298141821399545,
      0.1309661523674542,
      0.1289803247086574,
      0.12702349968656143,
      0.12509524840171798,
      0.12319514855782869,
      0.12132278425528216,
      0.11947774593827536,
      0.1176596303233638,
      0.1158680402462091,
      0.11410258466091214,
      0.11236287847477837,
      0.11064854236393463,
      0.10895920273441884,
      0.1072944916706439,
      0.10565404688280662,
      0.10403751156487234,
      0.10244453425787081,
      0.10087476882022506,
      0.09932787431380957,
      0.09780351480562394,
      0.09630135946639427,
      0.09482108255274327,
      0.09336236311409561,
      0.09192488500852136,
      0.09050833683962924,
      0.08911241189090255,
      0.08773680805055191,
      0.08638122761881317,
      0.08504537743282152,
      0.08372896863206825,
      0.0824317166836898,
      0.08115334129591877,
      0.07989356630824,
      0.07865211966937831,
      0.07742873338859933,
      0.07622314345366085,
      0.07503508977897867,
      0.0738643160692068,
      0.07271056986508317,
      0.07157360252022538,
      0.07045316895659397,
      0.0693490277731416,
      0.0682609411290319,
      0.06718867472592642,
      0.06613199771734896,
      0.06509068275142033,
      0.06406450553653437,
      0.0630532452707744,
      0.06205668441626131,
      0.06107460868252359,
      0.060106806847158425,
      0.05915307087396617,
      0.05821319583961402,
      0.057286979591375416,
      0.05637422305505246,
      0.05547473013101257,
      0.05458830761097481,
      0.05371476511206638,
      0.052853915043356584,
      0.052005572487919656,
      0.05116955532040822,
      0.05034568412535271,
      0.04953378201736361,
      0.04873367484951423,
      0.04794519094855633,
      0.04716816100895004,
      0.0464024184570842,
      0.045647798861895364,
      0.04490414040993526,
      0.04417128367753246,
      0.0434490714949929,
      0.04273734899426005,
      0.042035963592136474,
      0.04134476478164479,
      0.04066360450097351,
      0.039992336735398745,
      0.03933081763613184,
      0.038678905402420034,
      0.038036460340057705,
      0.037403344813461435,
      0.03677942316434471,
      0.03616456184792079,
      0.035558628988360444,
      0.034961494851163726,
      0.03437303162963842,
      0.03379311316586994,
      0.03322161526663808,
      0.03265841554636241,
      0.03210339339784066,
      0.0315564300051523,
      0.031017408267666448,
      0.030486212715101393,
      0.029962729629086065,
      0.02944684693597166,
      0.028938454208076773,
      0.028437442664787003,
      0.02794370500189591,
      0.02745713554478383,
      0.026977630134322753,
      0.02650508613944226,
      0.026039402488444656,
      0.025580479655605063,
      0.025128219278092574,
      0.024682524471079492,
      0.024243299951304198,
      0.023810451823235705,
      0.023383887415400772,
      0.022963515407434045,
      0.0225492458734547,
      0.022140990190957024,
      0.02173866103741477,
      0.021342172290101064,
      0.020951439178908193,
      0.02056637803687715,
      0.02018690658991787,
      0.019812943685321993,
      0.01944440936838879,
      0.01908122470279888,
      0.018723312008559104,
      0.01837059469126451,
      0.018022997361838024,
      0.017680445706610117,
      0.017342866476071583,
      0.01701018737590099,
      0.016682337330804094,
      0.01635924621854609,
      0.01604084484983941,
      0.015727065180525746,
      0.01541784010207786,
      0.015113103521996973,
      0.014812790238449208,
      0.01451683605351901,
      0.014225177731584937,
      0.013937752916615897,
      0.013654500078694658,
      0.013375358686221623,
      0.013100269051117715,
      0.01282917234929127,
      0.012562010555400103,
      0.012298726667062745,
      0.01203926430923181,
      0.011783567926990725,
      0.011531582929948747,
      0.011283255471936031,
      0.011038532335027206,
      0.010797361250538304,
      0.010559690729785621,
      0.010325469938448989,
      0.010094648739659536,
      0.009867177738909884,
      0.009643008395864757,
      0.009422092770126537,
      0.009204383594049395,
      0.008989834322564684,
      0.008778399109916686,
      0.008570032756568074,
      0.008364690742101265,
      0.008162329209415977,
      0.007962904811792402,
      0.007766374892624317,
      0.007572697445271732,
      0.007381831024674768,
      0.007193734896271965,
      0.007008368901638501,
      0.006825693351775765,
      0.006645669170374102,
      0.006468257886726602,
      0.006293421771015918,
      0.006121125174653168,
      0.005951333398079722,
      0.005784011524101469,
      0.00561912459280122,
      0.005456637826916624,
      0.005296516634977871,
      0.005138726946663472,
      0.004983235034202191,
      0.004830007596435423,
      0.004679011634381715,
      0.004530214735312885,
      0.004383584970916998,
      0.004239090740024164,
      0.004096700956490772,
      0.0039563850479819775,
      0.0038181128104499565,
      0.003681854404107477,
      0.0035475805735285595,
      0.0034152623800935795,
      0.003284871336317731,
      0.0031563794215162654,
      0.003029758978094677,
      0.0029049827300575183,
      0.00278202377787605,
      0.0026608557347111384,
      0.0025414524443820186,
      0.0024237882288733175,
      0.0023078377428566747,
      0.0021935759951789173,
      0.002080978447806835,
      0.0019700208304933983,
      0.0018606791982084757,
      0.001752930155223701,
      0.00164675044502103,
      0.0015421172345264458,
      0.0014390080180819082,
      0.0013374005163151723,
      0.0012372728367325506,
      0.001138603419786384,
      0.0010413710938370422,
      0.0009455548776839231,
      0.0008511341655379459,
      0.0007580887096837748,
      0.0006663985025164085,
      0.0005760437428726513,
      0.00048700491725364926,
      0.0003992628949043412,
      0.0003127987890889532,
      0.00022759404835142883,
      0.0001436302756281418,
      6.0889333993728635e-05,
      -2.064656548126593e-05,
      -0.00010099488893133124,
      -0.00018017296279406884,
      -0.0002581978065922433,
      -0.00033508626329799946,
      -0.00041085489357317454,
      -0.0004855200664312363,
      -0.000559097788043317,
      -0.0006316038281441208,
      -0.000703053839312075,
      -0.0007734632148545242,
      -0.0008428470982052674,
      -0.0009112203978966613,
      -0.0009785978843820785,
      -0.0010449940443550253,
      -0.001110423207613669,
      -0.0011748994061725236,
      -0.001238436524653138,
      -0.0013010483167792868,
      -0.0013627481985349678,
      -0.0014235493898250608,
      -0.0014834649981707742,
      -0.0015425079302735082,
      -0.0016006909171316721,
      -0.0016580265515536673,
      -0.0017145271210789667,
      -0.0017702047645326104,
      -0.0018250714495398892,
      -0.001879138956032795,
      -0.0019324189797081757,
      -0.001984923037946076
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56677214829584,
      10.336520650231055,
      10.098319184095152,
      9.855234061720552,
      9.609737672735987,
      9.363972513610994,
      9.119808472129554,
      8.878802250222721,
      8.642175587443669,
      8.410847187941865,
      8.185445537951962,
      7.966325762664626,
      7.75359889809995,
      7.547169317598344,
      7.346775325971838,
      7.152024217680262,
      6.962440745652279,
      6.777507663839763,
      6.596696916689434,
      6.419496519880289,
      6.245428541600468,
      6.0740523528101695,
      5.904985488873548,
      5.737915278297433,
      5.57260160983535,
      5.408881803593394,
      5.246669689689513,
      5.085960269191507,
      4.926819708676689,
      4.769373496053375,
      4.6138129130990455,
      4.460394609242508,
      4.309428020465827,
      4.161285186996207,
      4.016368962326561,
      3.875085847361519,
      3.737829746096946,
      3.604971120586603,
      3.476849262106914,
      3.353757592649348,
      3.235936104895714,
      3.123567988250649,
      3.01677853062597,
      2.9156278203173427,
      2.8201052604178733,
      2.7301348306883377,
      2.6455934515959205,
      2.566308197035872,
      2.4920510678321413,
      2.4225829543687327,
      2.3576519451359803,
      2.296973545693906,
      2.2402329913288277,
      2.1870909659492987,
      2.137162160046132,
      2.0900742218167307,
      2.0454861642481386,
      2.0030794240701275,
      1.962571447891785,
      1.9237226182056106,
      1.8863433068848048,
      1.8502835658986623,
      1.8154197109149912,
      1.7816438882329997,
      1.7488670098956092,
      1.7170175884191161,
      1.686036625414657,
      1.6558742402291295,
      1.6264873921923133,
      1.5978382530627315,
      1.5698925233895384,
      1.5426166729923017,
      1.5159798888158966,
      1.4899547237542676,
      1.464516341833735,
      1.4396419835326488,
      1.4153105828682808,
      1.3915024892284955,
      1.3681997441851927,
      1.3453868709398291,
      1.3230490226165847,
      1.3011716097306987,
      1.2797404158310484,
      1.25874166479993,
      1.238162058094299,
      1.217988789774711,
      1.1982095492360891,
      1.1788125150754623,
      1.1597863417284877,
      1.1411203425622936,
      1.1228061477809521,
      1.1048367700809756,
      1.087204992602392,
      1.0699034808043295,
      1.052924547076846,
      1.0362606128702772,
      1.0199057373894274,
      1.0038542479262462,
      0.9880998452420301,
      0.9726359042240721,
      0.9574556698129131,
      0.9425523839060174,
      0.9279193659304357,
      0.9135500643162523,
      0.8994380866906696,
      0.885577217335135,
      0.8719614250785898,
      0.8585848663013372,
      0.8454418837397168,
      0.8325270025809186,
      0.8198349263425819,
      0.8073605308524405,
      0.7950988584502359,
      0.7830451113218343,
      0.7711946453105707,
      0.7595429638678027,
      0.7480857123090251,
      0.7368186715444949,
      0.7257377530447472,
      0.7148389933378438,
      0.7041185487488999,
      0.6935726907321431,
      0.6831978011267668,
      0.6729903676304618,
      0.6629469801139334,
      0.6530643262857356,
      0.6433391862583411,
      0.6337683789026838,
      0.6243487879919853,
      0.6150774090702021,
      0.6059513368750298,
      0.5969677559823978,
      0.5881239336031792,
      0.579417214313569,
      0.5708450152298515,
      0.5624048228109395,
      0.5540941891928952,
      0.545910729594657,
      0.5378521196913438,
      0.5299160934770826,
      0.5221004408423652,
      0.514402766242972,
      0.5068203553075086,
      0.4993506882058093,
      0.4919914635810048,
      0.4847405412727872,
      0.4775959035735469,
      0.4705556285200911,
      0.4636178713315113,
      0.4567808517060428,
      0.4500428445558358,
      0.4434021734984614,
      0.4368572061789554,
      0.43040635075518363,
      0.4240480529340712,
      0.4177807938889229,
      0.41160321389247434,
      0.4055142314070909,
      0.3995127465551803,
      0.39359759544645545,
      0.3877675545498548,
      0.3820213695187206,
      0.3763577739939603,
      0.3707755021247484,
      0.3652732964331028,
      0.3598499132189225,
      0.35450448452850564,
      0.34923649392669603,
      0.3440451580496964,
      0.3389292855646185,
      0.3338876749111426,
      0.32891935335315603,
      0.3240233892938284,
      0.3191987931975781,
      0.3144445438954078,
      0.3097596056288904,
      0.3051429392251611,
      0.30059350962245124,
      0.2961102907568831,
      0.2916923329377784,
      0.28733876590376195,
      0.28304871048791097,
      0.27882127308391746,
      0.2746555456607591,
      0.270550615883748,
      0.2665055740493698,
      0.2625195172568083,
      0.25859155246231547,
      0.25472107180329734,
      0.2509076554694506,
      0.247150742001232,
      0.24344967075787274,
      0.2398037193563003,
      0.2362121287680912,
      0.23267412013872396,
      0.22918890591262678,
      0.2257556971647211,
      0.22237370852816263,
      0.21904216115892486,
      0.2157602850721514,
      0.21252730441900736,
      0.2093423750554611,
      0.20620466213242925,
      0.20311337811413763,
      0.20006777080101523,
      0.19706711561460494,
      0.19411070995100413,
      0.19119786942931752,
      0.18832792546255658,
      0.18550022336643718,
      0.18271412108860635,
      0.17996898849114082,
      0.17726420640772741,
      0.17459916628751154,
      0.17197326987115696,
      0.169385928720219,
      0.16683656396193658,
      0.16432460600695742,
      0.16184949439197785,
      0.15941067774779888,
      0.15700761337724914,
      0.15463976719324077,
      0.15230661353952824,
      0.15000763499600173,
      0.1477423221746396,
      0.14551017389352802,
      0.14331069668073523,
      0.14114340463032743,
      0.13900781950890842,
      0.13690347047723622,
      0.1348298940621191,
      0.13278663390175321,
      0.1307732406904818,
      0.12878927201074472,
      0.1268342923128058,
      0.12490787271838648,
      0.12300959087012774,
      0.12113903092810747,
      0.11929578343411464,
      0.11747944505580823,
      0.11568961871913458,
      0.11392591340422396,
      0.11218794401818152,
      0.11047533131834025,
      0.10878770190556902,
      0.10712468781657622,
      0.10548592671280463,
      0.10387106182086424,
      0.10227974162375214,
      0.1007116200470012,
      0.09916635619212912,
      0.09764361427200217,
      0.09614306364599319,
      0.09466437850382556,
      0.09320723795366452,
      0.09177132582181566,
      0.09035633072921453,
      0.08896194602555235,
      0.08758786961889742,
      0.0862338039419785,
      0.08489945584523662,
      0.08358453651807418,
      0.08228876145366389,
      0.081011850372014,
      0.07975352724346352,
      0.078513520127377,
      0.07729156106309817,
      0.0760873860770087,
      0.07490073523905795,
      0.07373135230713082,
      0.07257898490986356,
      0.07144338433301622,
      0.07032430559876726,
      0.069221507396562,
      0.06813475191900621,
      0.06706380496193495,
      0.06600843565897034,
      0.0649684167149683,
      0.06394352409916533,
      0.06293353692204845,
      0.06193823768317423,
      0.06095741216246228,
      0.05999084919650512,
      0.05903834082562537,
      0.058099682089902405,
      0.057174671078514976,
      0.05626310879932733,
      0.055364799196191784,
      0.054479549138885225,
      0.053607168284226556,
      0.05274746902389695,
      0.05190026663970923,
      0.051065379059239996,
      0.0502426269081289,
      0.049431833397116064,
      0.04863282430805082,
      0.047845428040583046,
      0.04706947556352801,
      0.046304800239554515,
      0.04555123787173061,
      0.04480862664173641,
      0.04407680713339595,
      0.043355622279582125,
      0.04264491721936329,
      0.0419445394752227,
      0.04125433864621483,
      0.04057416663431541,
      0.03990387760540523,
      0.039243327720850284,
      0.038592375302600054,
      0.037950880774579844,
      0.037318706542094286,
      0.03669571705046444,
      0.03608177865767729,
      0.03547675967629531,
      0.034880530337244045,
      0.03429296293903905,
      0.03371393153718782,
      0.03314331185372633,
      0.032580981590901816,
      0.03202682023655557,
      0.03148070902645388,
      0.030942530957840515,
      0.030412170647346953,
      0.02988951444974584,
      0.029374450370365287,
      0.028866867996262285,
      0.028366658612234797,
      0.02787371499199616,
      0.027387931589888365,
      0.026909204312770028,
      0.026437430545631295,
      0.025972509291119193,
      0.025514340901817062,
      0.02506282727568355,
      0.024617871695097004,
      0.024179378823671757,
      0.023747254708693693,
      0.02332140682702655,
      0.022901744047161787,
      0.02248817649569787,
      0.022080615517004454,
      0.02167897381444816,
      0.021283165299402614,
      0.020893105331639523,
      0.02050871039104579,
      0.020129898202133668,
      0.019756587628308772,
      0.019388698754702532,
      0.01902615279150569,
      0.018668872166212457,
      0.018316780321340813,
      0.017969801948939344,
      0.017627862631879532,
      0.01729088919493215,
      0.016958809506904704,
      0.016631552496944393,
      0.016309048054381263,
      0.015991227218096475,
      0.015678021944490906,
      0.015369365209605381,
      0.01506519088654455,
      0.014765433855115733,
      0.01447002998203152,
      0.01417891604107394,
      0.01389202978963525,
      0.01360930977570624,
      0.013330695395780766,
      0.01305612707085989,
      0.01278554604441125,
      0.012518894419307095,
      0.012256115178695624,
      0.011997152013626047,
      0.011741949438991825,
      0.01149045284320529,
      0.011242608420362746,
      0.01099836311821502,
      0.010757664697196669,
      0.010520461570099457,
      0.010286703019630002,
      0.010056339005600844,
      0.009829320267863846,
      0.009605598202791811,
      0.009385124933516087,
      0.009167853319396173,
      0.008953736821786799,
      0.008742729601490754,
      0.00853478656152046,
      0.008329863119174706,
      0.008127915476519759,
      0.007928900391059245,
      0.007732775330766749,
      0.007539498294419445,
      0.0073490278883343845,
      0.00716132345031848,
      0.006976344642008226,
      0.006794051939468897,
      0.006614406356984386,
      0.006437369478903902,
      0.00626290335318698,
      0.0060909714363017765,
      0.005921539188132363,
      0.005754572065980696,
      0.005590035433870363,
      0.005427894655539724,
      0.0052681154100927595,
      0.005110663665385867,
      0.00495550577359626,
      0.004802608415305322,
      0.004651938863253453,
      0.004503464701071988,
      0.004357154001612969,
      0.0042129752649405095,
      0.004070897441158909,
      0.003930889910392614,
      0.0037929225342368212,
      0.003656965594713968,
      0.003522989709483163,
      0.0033909660536766695,
      0.003260866240230323,
      0.003132662240344667,
      0.003006326407101357,
      0.002881831526474999,
      0.002759150830388481,
      0.002638257853904963,
      0.0025191263822263725,
      0.0024017308184318834,
      0.0022860458667833066,
      0.002172046719892238,
      0.0020597087320017703,
      0.0019490076850059391,
      0.0018399197442930063,
      0.0017324214413293156,
      0.0016264895689320528,
      0.0015221012620378629,
      0.001419234124075216,
      0.0013178659546362857,
      0.0012179748466766254,
      0.001119539329557794,
      0.0010225382275464425,
      0.0009269506595528096,
      0.000832756020519282,
      0.0007399339577901694,
      0.0006484644185244304,
      0.0005583276982891079,
      0.00046950440801458955,
      0.0003819753471155405,
      0.0002957217334293248,
      0.00021072502764585543,
      0.00012696686702327642,
      4.442921582942915e-05,
      -3.6905724605606325e-05,
      -0.0001170554965635007,
      -0.00019603734040302451,
      -0.00027386833847335555,
      -0.000350565285160033,
      -0.000426144498158088,
      -0.0005006223216824025,
      -0.0005740149296930724,
      -0.0006463381220200734,
      -0.0007176075013191526,
      -0.0007878383368776543,
      -0.0008570456755270189,
      -0.0009252444896626957,
      -0.0009924495708273377,
      -0.0010586753394665565,
      -0.0011239361180858214,
      -0.0011882458818469343,
      -0.0012516186062275735,
      -0.001314067882947211,
      -0.0013756071387675303,
      -0.0014362497007827009,
      -0.0014960086135547667,
      -0.0015548967602263203,
      -0.0016129268748289675,
      -0.00167011136981076,
      -0.0017264625691481759,
      -0.0017819926294357369,
      -0.0018367135114060592,
      -0.0018906370205318697,
      -0.001943774776861996,
      -0.0019961382037022835
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566769386353293,
      10.33650714715686,
      10.098287949768263,
      9.855180082320631,
      9.60965696300021,
      9.36386222635487,
      9.119666835447275,
      8.87862876110459,
      8.6419705166023,
      8.410611073256543,
      8.185179051722724,
      7.966029605913298,
      7.7532737030493735,
      7.546815589459345,
      7.346393298731206,
      7.151613808109374,
      6.962001835272905,
      6.777040126664432,
      6.596200656694179,
      6.41897155829556,
      6.244875219896311,
      6.073471223262126,
      5.90437726223213,
      5.7372809244664955,
      5.571942375347986,
      5.40819922418726,
      5.2459656199658244,
      5.085236918383308,
      4.926079570530406,
      4.768619242279777,
      4.6130475978925976,
      4.459621574161912,
      4.30865107480264,
      4.160508830923156,
      4.0155976720080595,
      3.874323961112284,
      3.737081383835941,
      3.6042402172007693,
      3.47613947177629,
      3.3530721100684784,
      3.235277629118007,
      3.1229387035468643,
      3.016180103684794,
      2.915061246562,
      2.8195707858645718,
      2.729631960260222,
      2.645121270639433,
      2.5658650466767843,
      2.4916348288691084,
      2.422191406259726,
      2.3572827478231932,
      2.296624125054255,
      2.239900577741571,
      2.1867724512976148,
      2.1368543614094073,
      2.089774215913169,
      2.0451912888612442,
      2.0027872984590798,
      1.96228011582089,
      1.923430616925603,
      1.8860495741711805,
      1.8499873279276349,
      1.8151203927715152,
      1.781341079406162,
      1.7485604335949434,
      1.7167070575718117,
      1.6857220340130104,
      1.6555555398420903,
      1.6261645752553964,
      1.597511340487831,
      1.569561567756395,
      1.542281757090149,
      1.5156410953843769,
      1.489612135428425,
      1.4641700408763336,
      1.439292051453927,
      1.4149571006429746,
      1.3911455370907222,
      1.3678394327895962,
      1.3450233309737536,
      1.3226823659289713,
      1.300801935555157,
      1.2793678141807958,
      1.258366219168768,
      1.2377838462405026,
      1.2176078859426225,
      1.197826025169236,
      1.1784264397695394,
      1.159397782821462,
      1.1407294424503323,
      1.1224131813944085,
      1.1044419517042747,
      1.0868084968416836,
      1.0695054479389239,
      1.0525250888825262,
      1.0358599410345712,
      1.0195042174877191,
      1.0034521355788701,
      0.9876973228645592,
      0.9722331052156101,
      0.9570526944612407,
      0.9421493101875156,
      0.9275162571554778,
      0.9131469735818711,
      0.8990350602341445,
      0.885174296540369,
      0.8715586482579823,
      0.858182269442846,
      0.8450395011876087,
      0.8321248677527002,
      0.8194330718740834,
      0.8069589886800573,
      0.7946976596780251,
      0.7826442865850621,
      0.7707942248230432,
      0.7591429776880079,
      0.7476861897562148,
      0.7364196418507678,
      0.7253392449799086,
      0.7144410351039862,
      0.7037211680935183,
      0.6931759150261446,
      0.6828016574328263,
      0.6725948826859343,
      0.6625521803300641,
      0.6526702374077742,
      0.6429458324561077,
      0.6333757827891888,
      0.623956972538425,
      0.6146863974787548,
      0.6055611523951352,
      0.5965784216176261,
      0.5877354720402101,
      0.5790296477668525,
      0.5704583658633257,
      0.5620191124153293,
      0.5537094391866748,
      0.5455269607888288,
      0.537469352453105,
      0.5295343477335862,
      0.5217197360264559,
      0.5140231780171162,
      0.5064419642136859,
      0.49897355406823635,
      0.4916156316753292,
      0.4843660469668497,
      0.47722277545380876,
      0.4701838905745938,
      0.46324754429831083,
      0.45641195392233275,
      0.4496753926161624,
      0.4430361828518094,
      0.43649269133561097,
      0.4300433252317585,
      0.42368652967414927,
      0.41742078537249766,
      0.41124480574138156,
      0.4051575199448096,
      0.399157807372875,
      0.39324448010947144,
      0.387416298797225,
      0.381671998296814,
      0.37601030502370814,
      0.37042994811647373,
      0.36492966669472177,
      0.3595082151466109,
      0.3541648292230254,
      0.3488989977553588,
      0.3437098905206716,
      0.33859628742655307,
      0.33355698664611666,
      0.3285910258641271,
      0.32369745365782665,
      0.31887526761645396,
      0.3141234377298364,
      0.30944092216295105,
      0.30482667785890394,
      0.3002796669785456,
      0.29579886146885914,
      0.2913833248292029,
      0.2870321877844713,
      0.28274456634416995,
      0.2785195621211272,
      0.2743562637511901,
      0.2702537566819593,
      0.2662111296768904,
      0.26222747895351295,
      0.25830191092696947,
      0.25443384089977117,
      0.25062285016686936,
      0.24686836796601128,
      0.24316972729903405,
      0.23952620162005944,
      0.23593702906242245,
      0.23240142869867414,
      0.22891861168184807,
      0.22548778818830426,
      0.2221081721757745,
      0.21877898448355584,
      0.2154994546953967,
      0.21226880388334377,
      0.20908618366034146,
      0.20595076155553627,
      0.2028617514811761,
      0.19981840243521945,
      0.19681999048400983,
      0.1938658135242657,
      0.19095518741779008,
      0.18808744371518432,
      0.1852619279037675,
      0.182477998098565,
      0.1797350241334984,
      0.17703238689780587,
      0.17436947787703033,
      0.17174569874591306,
      0.16916046104949334,
      0.1666131859087613,
      0.16410330387118627,
      0.16163025445426607,
      0.15919348618904183,
      0.15679245645784146,
      0.15442663114588218,
      0.15209548456286742,
      0.14979849930487593,
      0.14753516614525924,
      0.14530498368726735,
      0.14310745847695305,
      0.14094210466796567,
      0.13880844403267198,
      0.1367060057657207,
      0.13463432641746567,
      0.13259294967744778,
      0.13058142613401816,
      0.12859931343010944,
      0.12664617598829514,
      0.12472158494766068,
      0.12282511813371208,
      0.12095635966072536,
      0.11911490012651281,
      0.11730033623557772,
      0.1155122709057869,
      0.11375031305140741,
      0.11201407765227375,
      0.11030318550548757,
      0.10861726318682495,
      0.10695594289702558,
      0.10531886231407661,
      0.10370566474308454,
      0.10211599871249107,
      0.1005495181600036,
      0.09900588218503667,
      0.09748475502196971,
      0.09598580599884547,
      0.09450870948811631,
      0.0930531446134736,
      0.09161879528491686,
      0.09020535025639784,
      0.0888125027737722,
      0.08743995093219391,
      0.08608739713373559,
      0.08475454821579316,
      0.08344111547363024,
      0.08214681447941186,
      0.08087136501812593,
      0.0796144910732119,
      0.07837592071246266,
      0.07715538610005682,
      0.07595262341814216,
      0.07476737263409103,
      0.07359937769825602,
      0.07244838614195351,
      0.07131414941355375,
      0.07019642265633808,
      0.06909496454416063,
      0.06800953731136422,
      0.06693990685601882,
      0.06588584243334787,
      0.06484711670525814,
      0.06382350568133015,
      0.06281478866891732,
      0.06182074814933071,
      0.060841169971482666,
      0.059875843140992084,
      0.058924559585918135,
      0.057987114477576145,
      0.05706330608276301,
      0.05615293536689693,
      0.055255806335589984,
      0.05437172598350217,
      0.05350050396801868,
      0.05264195287203601,
      0.05179588802282548,
      0.05096212737513955,
      0.050140491629978905,
      0.04933080414767076,
      0.048532890800793614,
      0.04774657990966542,
      0.04697170251819476,
      0.04620809208792111,
      0.04545558440211635,
      0.044714017707371975,
      0.04398323272779716,
      0.043263072571237814,
      0.04255338242448775,
      0.04185400979143535,
      0.04116480442786246,
      0.0404856182628131,
      0.03981630558897233,
      0.03915672268303522,
      0.03850672791440118,
      0.037866181654599707,
      0.037234946433275025,
      0.0366128865965128,
      0.035999868694414384,
      0.03539576119922899,
      0.03480043446353858,
      0.03421376062156647,
      0.033635613850729704,
      0.03306587014494126,
      0.03250440717082889,
      0.03195110452834759,
      0.03140584341429178,
      0.030868506858387153,
      0.030338979600338642,
      0.029817148021465702,
      0.029302900298902743,
      0.028796126133891663,
      0.028296716804582674,
      0.02780456519254949,
      0.02731956568878702,
      0.026841614295971542,
      0.026370608616310142,
      0.025906447635697116,
      0.025449031780330925,
      0.024998262927974076,
      0.024554044469465953,
      0.024116281172596926,
      0.023684879184667232,
      0.023259746002616277,
      0.022840790416171274,
      0.022427922615508952,
      0.02202105415750659,
      0.02162009784871676,
      0.021224967709323663,
      0.020835579024580168,
      0.020451848394749367,
      0.020073693580171293,
      0.01970103353573057,
      0.01933378832214497,
      0.01897187927646279,
      0.018615228869338623,
      0.018263760534750033,
      0.017917399101853027,
      0.01757607028399843,
      0.01723970090936234,
      0.01690821897125693,
      0.016581553326896495,
      0.016259634073977534,
      0.0159423921429473,
      0.01562975956712878,
      0.015321669343459434,
      0.015018055449760759,
      0.014718852980345825,
      0.014423997783424767,
      0.014133426604055125,
      0.013847077166806958,
      0.01356488819245358,
      0.013286799272277064,
      0.013012750739224727,
      0.012742683841198754,
      0.012476540758680441,
      0.012214264473299982,
      0.011955798728822938,
      0.011701088274958643,
      0.0114500784277159,
      0.011202715485157645,
      0.010958946432793154,
      0.01071871909853476,
      0.010481981988536261,
      0.010248684350664911,
      0.010018776223649406,
      0.009792208355595397,
      0.00956893219507465,
      0.00934889993616848,
      0.00913206452170941,
      0.008918379471359091,
      0.008707798896506311,
      0.008500277765472212,
      0.008295771637610284,
      0.008094236718269658,
      0.007895629782167006,
      0.007699908264562411,
      0.007507030317075841,
      0.00731695449678548,
      0.007129640144767263,
      0.006945047194381774,
      0.006763136103251034,
      0.006583867927084642,
      0.0064072043004846126,
      0.006233107267194213,
      0.0060615396082595386,
      0.00589246622871435,
      0.0057258530850691075,
      0.005561665766751786,
      0.00539986993369526,
      0.005240431423233802,
      0.005083316402240129,
      0.004928491323250864,
      0.004775923028488378,
      0.0046255788229989285,
      0.004477426327204461,
      0.004331433591754565,
      0.004187569200950263,
      0.004045802149404087,
      0.0039061018985675506,
      0.00376843819963146,
      0.003632781483704165,
      0.0034991024528366155,
      0.003367372213423909,
      0.003237562417134204,
      0.0031096450415516075,
      0.002983592623673704,
      0.0028593778914709576,
      0.0027369741336554583,
      0.002616354891026583,
      0.0024974941582917853,
      0.0023803662500738983,
      0.0022649459991819117,
      0.0021512084541057412,
      0.0020391290419756267,
      0.001928683491116161,
      0.0018198481048930643,
      0.0017125994330282604,
      0.0016069143451257187,
      0.0015027700735069948,
      0.0014001441173378364,
      0.0012990143197938924,
      0.0011993589017593666,
      0.00110115637020495,
      0.0010043855036265146,
      0.0009090253896468898,
      0.0008150555337418069,
      0.0007224557024645307,
      0.0006312058694639939,
      0.0005412863658221142,
      0.00045267784746459797,
      0.0003653610473435479,
      0.0002793172278759963,
      0.0001945278591626217,
      0.00011097463538180183,
      2.8639555676417716e-05,
      -5.249516562974933e-05,
      -0.0001324469781024381,
      -0.00021123319725362312,
      -0.0002888709135995796,
      -0.0003653767860082906,
      -0.0004407672598574928,
      -0.0005150586317398659,
      -0.0005882668905820201,
      -0.0006604078186408646,
      -0.0007314970218337983,
      -0.0008015498507487613,
      -0.0008705813976346952,
      -0.0009386065872523861,
      -0.001005640063725689,
      -0.0010716962544914377,
      -0.0011367893696187438,
      -0.0012009334575830296,
      -0.0012641424923571284,
      -0.0013264300653944927,
      -0.0013878096046968894,
      -0.001448294230247168,
      -0.001507896983511417,
      -0.0015666307960326626,
      -0.0016245083430940844,
      -0.0016815420487416252,
      -0.0017377442683076273,
      -0.0017931271523470061,
      -0.0018477027264017984,
      -0.0019014825878587885,
      -0.001954478429073331,
      -0.0020067016822145757
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566766631531516,
      10.336493682109657,
      10.09825680319747,
      9.855126248144023,
      9.609576460423142,
      9.363752212876134,
      9.119525541739751,
      8.878455686597432,
      8.64176593219397,
      8.410375518012236,
      8.184913198187292,
      7.965734154254039,
      7.752949284950754,
      7.5464627096538255,
      7.346012190962571,
      7.1512043898476865,
      6.961563988118698,
      6.776573724707081,
      6.595705605261522,
      6.4184478805648775,
      6.24432325894492,
      6.072891530785273,
      5.903770549367323,
      5.736648163648122,
      5.571284815134229,
      5.407518398858719,
      5.2452633823390835,
      5.084515476337977,
      4.92534141571787,
      4.767867043529212,
      4.612284405347816,
      4.45885071475393,
      4.307876342891044,
      4.159734719946576,
      4.014828650337196,
      3.8735643587679442,
      3.736335310724308,
      3.6035116361671267,
      3.475432022378756,
      3.3523889729887135,
      3.234621489932209,
      3.1223117342169253,
      3.0155839589550393,
      2.914496911232734,
      2.8190384977319063,
      2.7291312184589223,
      2.644651155981384,
      2.5654238743515094,
      2.491220481745324,
      2.421801666985378,
      2.356915280217373,
      2.296276360173112,
      2.239569752900246,
      2.186455466052201,
      2.1365480404635093,
      2.0894756425923955,
      2.044897807757994,
      2.002496535857481,
      1.9619901216639093,
      1.9231399334259436,
      1.885757142599421,
      1.8496923773874452,
      1.8148223514824986,
      1.781039539068813,
      1.7482551191810745,
      1.7163977830598618,
      1.6854086942888191,
      1.655238086747483,
      1.6258430015345604,
      1.5971856676980412,
      1.5692318489976234,
      1.54194807584812,
      1.5153035348611743,
      1.4892707787895647,
      1.4638249703189015,
      1.4389433491967465,
      1.4146048480221527,
      1.3907898140468558,
      1.3674803593530895,
      1.344661034040351,
      1.3223169553924172,
      1.3004335090512542,
      1.2789964606313617,
      1.2579920211232734,
      1.2374068816743198,
      1.2172282291029308,
      1.1974437472811401,
      1.1780416100576285,
      1.1590104682701996,
      1.1403397851377093,
      1.122021456265718,
      1.104048373085143,
      1.0864132397091277,
      1.069108653170153,
      1.0521268685694454,
      1.0354605066431353,
      1.0191039344428805,
      1.0030512591662506,
      0.9872960353851856,
      0.971831540071201,
      0.9566509522613085,
      0.9417474691414466,
      0.92711438020808,
      0.91274511372861,
      0.8986332638728174,
      0.8847726053746946,
      0.8711571006716023,
      0.8577809016522479,
      0.8446383476672296,
      0.8317239618495298,
      0.8190324459004552,
      0.8065586744005914,
      0.7942976884290481,
      0.7822446889254515,
      0.7703950308350623,
      0.7587442171138314,
      0.7472878921502543,
      0.7360218361372446,
      0.7249419596097818,
      0.7140442983291813,
      0.7033250076722075,
      0.6927803582486839,
      0.6824067313160692,
      0.6722006139550519,
      0.6621585951369595,
      0.6522773617013925,
      0.6425536909205244,
      0.6329843980226363,
      0.6235663676802291,
      0.6142965957259745,
      0.6051721769447284,
      0.5961902951946725,
      0.5873482173846456,
      0.5786432874008272,
      0.5700729218012679,
      0.5616346061454643,
      0.5533258919499068,
      0.5451443935202399,
      0.537087785563796,
      0.5291538009357747,
      0.5213402286342669,
      0.513644779407934,
      0.5060647575500146,
      0.49859760044915985,
      0.49124097730442784,
      0.4839927280237964,
      0.4768508211724448,
      0.4698133251985261,
      0.46287838881127547,
      0.45604422692327795,
      0.44930911097786647,
      0.44267136196205537,
      0.4361293455070119,
      0.4296814681543762,
      0.42332617422598257,
      0.4170619557317226,
      0.41088759297953825,
      0.4048020154300721,
      0.39880408189906136,
      0.39289258234278335,
      0.3870662622172682,
      0.3813238464001872,
      0.37566405452949925,
      0.37008561117679434,
      0.3645872523226156,
      0.35916778477192207,
      0.3538265188473725,
      0.348562894962293,
      0.34337604511695274,
      0.33826472814822134,
      0.3332277513649342,
      0.3282641580487763,
      0.32337297977650653,
      0.3185532023766294,
      0.3138037882009658,
      0.30912369032844095,
      0.3045118621799468,
      0.29996726340797225,
      0.29548886816616804,
      0.29107575108354605,
      0.28672704033945995,
      0.28244184779026843,
      0.2782192707037387,
      0.27405839478954397,
      0.2699583036305181,
      0.2659180845802882,
      0.2619368327665418,
      0.2580136661753703,
      0.2541480171481208,
      0.25033945607379304,
      0.24658740497149256,
      0.24289119199345569,
      0.23925008729212013,
      0.23566332672404244,
      0.23213012790895685,
      0.22864970090538383,
      0.22522125509763208,
      0.2218440039360971,
      0.21851716781771768,
      0.21523997622604407,
      0.21201164709022877,
      0.20883132780530478,
      0.20569818830330305,
      0.20261144427439082,
      0.19957034576123348,
      0.19657416943724743,
      0.19362221356050074,
      0.1907137944270782,
      0.1878482437006047,
      0.18502490704159574,
      0.18224314259445915,
      0.1795023202687322,
      0.17680182094761246,
      0.17414103613008536,
      0.17151936757358638,
      0.1689362268538888,
      0.16639103500667318,
      0.16388322247222195,
      0.16141222886062903,
      0.15897750268318467,
      0.15657850130394163,
      0.15421469056498746,
      0.15188554477744656,
      0.14959054660831497,
      0.14732918668455727,
      0.14510096381716026,
      0.14290538447194462,
      0.14074196284709412,
      0.13861022073104426,
      0.1365096872675832,
      0.13443989897780698,
      0.13240039954915991,
      0.13039073967759865,
      0.12841047707044925,
      0.12645917621609032,
      0.12453640825052144,
      0.12264175088239801,
      0.12077478827471833,
      0.11893511106104948,
      0.11712231599397131,
      0.11533600603897388,
      0.11357579020190413,
      0.11184128336295443,
      0.11013210643460979,
      0.10844788594151857,
      0.10678825402560792,
      0.10515284859025557,
      0.10354131294206116,
      0.10195329564764015,
      0.10038845068135863,
      0.09884643724105029,
      0.09732691957534012,
      0.09582956709498872,
      0.0943540540690269,
      0.09290005972572907,
      0.09146726811592526,
      0.09005536803102247,
      0.08866405284214807,
      0.08729302040569767,
      0.08594197332498883,
      0.08461061863700824,
      0.08329866765116939,
      0.08200583591473168,
      0.08073184329758906,
      0.07947641380335749,
      0.07823927556040482,
      0.07702016083703982,
      0.07581880576604892,
      0.07463495043322539,
      0.07346833881436088,
      0.07231871857363038,
      0.07118584116177847,
      0.07006946184812186,
      0.06896933930865363,
      0.06788523595797874,
      0.06681691767154704,
      0.06576415368566335,
      0.06472671675816873,
      0.06370438297922087,
      0.06269693178540608,
      0.061704145810932504,
      0.06072581088758504,
      0.059761716059721914,
      0.058811653359647345,
      0.05787541802048137,
      0.0569528082873512,
      0.05604362534800777,
      0.05514767324255912,
      0.05426475885052222,
      0.05339469204785594,
      0.05253728546747258,
      0.05169235452215506,
      0.05085971721139358,
      0.050039194227882625,
      0.04923060905468972,
      0.04843378764699085,
      0.04764855842842884,
      0.04687475239847665,
      0.04611220313188024,
      0.045360746600351054,
      0.04462022109535648,
      0.04389046740487595,
      0.04317132849994329,
      0.042462649802237795,
      0.041764278958594726,
      0.04107606574457164,
      0.040397862202087576,
      0.039729522607513675,
      0.03907090326717249,
      0.03842186263856114,
      0.037782261268869174,
      0.03715196164304312,
      0.03653082831603758,
      0.035918727807799894,
      0.03531552857606219,
      0.03472110115240189,
      0.034135317837619486,
      0.03355805277307997,
      0.0329891819139151,
      0.032428583120877756,
      0.03187613598251425,
      0.031331721885885656,
      0.030795223973365166,
      0.0302665269884142,
      0.029745517404429864,
      0.029232083318281466,
      0.02872611465580488,
      0.028227502639709835,
      0.02773614015979148,
      0.027251921818660717,
      0.026774743665909446,
      0.02630450328167965,
      0.0258410997513847,
      0.025384433595620853,
      0.024934406858133622,
      0.02449092286250976,
      0.02405388642573557,
      0.023623203835525016,
      0.02319878266180242,
      0.02278053183396177,
      0.022368361551555697,
      0.021962183320917122,
      0.02156191000940215,
      0.02116745570163381,
      0.020778735840144526,
      0.020395667129481567,
      0.020018167292893428,
      0.01964615529735103,
      0.019279551411217483,
      0.0189182769620874,
      0.018562254461110806,
      0.018211407490103932,
      0.017865660758829987,
      0.017524940178567577,
      0.01718917268016627,
      0.016858286150214476,
      0.01653220963853802,
      0.016210873232493053,
      0.015894207910371883,
      0.015582145837069305,
      0.01527462006621679,
      0.01497156469770866,
      0.014672914676582303,
      0.01437860595799074,
      0.01408857542136194,
      0.013802760851810038,
      0.013521101084517727,
      0.013243535580261246,
      0.01297000475416582,
      0.012700449952104674,
      0.0124348134177251,
      0.012173038193245026,
      0.011915068195160245,
      0.01166084804499415,
      0.011410323221283915,
      0.011163439959907987,
      0.010920145355186591,
      0.01068038724134175,
      0.010444114185020857,
      0.010211275563535795,
      0.009981821442479994,
      0.009755702634378667,
      0.009532870690271025,
      0.00931327775397705,
      0.009096876749767632,
      0.008883621248546851,
      0.00867346556567894,
      0.008466364543405314,
      0.00826227381273739,
      0.008061149701977183,
      0.007862949039876518,
      0.007667629329869474,
      0.007475148735822457,
      0.0072854660516316165,
      0.007098540526672034,
      0.006914332113148662,
      0.006732801226089843,
      0.0065539089443557574,
      0.0063776169468270395,
      0.006203887413004375,
      0.006032683122618879,
      0.005863967849964206,
      0.005697707634391355,
      0.00553386848389044,
      0.0053724164200713125,
      0.0052133174719594085,
      0.00505653794992285,
      0.004902044415014013,
      0.0047498038277532925,
      0.004599783501086545,
      0.004451951105630341,
      0.004306274841716426,
      0.004162723270161855,
      0.004021265468724621,
      0.003881870948862352,
      0.0037445096059915625,
      0.00360915181771969,
      0.0034757684355963066,
      0.0033443305753291415,
      0.003214809821467167,
      0.0030871782494459065,
      0.002961408322341721,
      0.0028374728021994707,
      0.002715344986043876,
      0.0025949985374877646,
      0.0024764075171070836,
      0.0023595462679423846,
      0.0022443895373541645,
      0.0021309125432918082,
      0.0020190907243325664,
      0.0019088999169202048,
      0.001800316355795939,
      0.0016933166251859037,
      0.0015878776051662857,
      0.0014839764254304538,
      0.0013815906807168334,
      0.0012806983111861797,
      0.0011812775730370678,
      0.0010833070612864387,
      0.0009867655684076657,
      0.0008916321091987276,
      0.0007978862012413175,
      0.0007055076633269757,
      0.0006144766190816521,
      0.0005247733934662425,
      0.0004363785372507124,
      0.00034927299888303534,
      0.0002634379542341623,
      0.00017885493608885063,
      9.550558997321769e-05,
      1.3371983984156692e-05,
      -6.756362725540962e-05,
      -0.00014731868765234638,
      -0.00022591049090257506,
      -0.00030335593667181997,
      -0.00037967174322240413,
      -0.0004548743858623514,
      -0.0005289801360540098,
      -0.0006020050045984856,
      -0.0006739647981132719,
      -0.000744875015598379,
      -0.0008147509157560765,
      -0.0008836075957814555,
      -0.0009514599299881287,
      -0.0010183225709335176,
      -0.0010842099560087724,
      -0.0011491362940544705,
      -0.0012131155385695994,
      -0.0012761616079921612,
      -0.0013382881218525872,
      -0.00139950844832571,
      -0.0014598357947453841,
      -0.001519283195752115,
      -0.0015778634882864732,
      -0.0016355893363821346,
      -0.0016924731919620113,
      -0.001748527311891217,
      -0.0018037638378300821,
      -0.0018581947358793371,
      -0.0019118317415841356,
      -0.001964686329880492,
      -0.0020167699253852674
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566763883830507,
      10.336480248682244,
      10.098225722582788,
      9.855072519778313,
      9.609496105439801,
      9.36364238947139,
      9.119384480463223,
      8.878282886422095,
      8.641561663934283,
      8.410140318627942,
      8.184647739307021,
      7.965439135972917,
      7.752625339624907,
      7.5461103416194195,
      7.34563163413554,
      7.1507955613644265,
      6.961126770854868,
      6.776107994179805,
      6.595211268103562,
      6.417924973474242,
      6.243772123927382,
      6.072312721035796,
      5.903164777492706,
      5.736016400240315,
      5.5706283070518205,
      5.406838679619046,
      5.244562303479346,
      5.083795243596031,
      4.924604519017254,
      4.767116150239636,
      4.611522562911764,
      4.458081245731289,
      4.307103135266426,
      4.158962249366696,
      4.014061368121734,
      3.8728065773772267,
      3.735591123347726,
      3.6027849889540375,
      3.474726537947325,
      3.3517078152226634,
      3.2339673295826543,
      3.1216867297870525,
      3.0149897530913194,
      2.9139344781771817,
      2.818508065449499,
      2.7286322775625713,
      2.6441827807771716,
      2.5649843768232077,
      2.490807743210899,
      2.421413468502468,
      2.3565492852946215,
      2.2959300032601484,
      2.239240276457512,
      2.1861397546644037,
      2.136242929211018,
      2.0891782261297718,
      2.0446054364118553,
      2.0022068406432725,
      1.9617011616844298,
      1.9228502579159796,
      1.8854656978923428,
      1.8493983938660632,
      1.814525261028971,
      1.7807389363657335,
      1.7479507319493792,
      1.7160894274805174,
      1.6850962661340412,
      1.6549215391024588,
      1.6255223276712911,
      1.5968608894907337,
      1.5689030200556973,
      1.541615280356064,
      1.514966856295888,
      1.4889303000629857,
      1.4634807743185756,
      1.4385955182477568,
      1.414253463438028,
      1.390434956479381,
      1.3671221519036847,
      1.3442996032367402,
      1.3219524105757452,
      1.3000659474229375,
      1.2786259707444276,
      1.2576186849168158,
      1.2370307767779318,
      1.2168494297314998,
      1.1970623250406756,
      1.177657634304977,
      1.1586240067364095,
      1.1399509802951397,
      1.121630583101295,
      1.1036556460705869,
      1.0860188332576317,
      1.068712707442773,
      1.0517294954990994,
      1.0350620094346932,
      1.0187046458115847,
      1.0026514135260651,
      0.9868958012175807,
      0.9714310414395358,
      0.9562502832197816,
      0.9413467037055097,
      0.9267135789201218,
      0.9123443277455016,
      0.8982325382104585,
      0.8843719809589485,
      0.8707566153531068,
      0.8573805911020296,
      0.8442382461042037,
      0.8313241027036942,
      0.8186328618021542,
      0.8061593972093484,
      0.7938987491484593,
      0.7818461182166386,
      0.7699968591380828,
      0.758346474275348,
      0.7468906075497309,
      0.7356250388529417,
      0.7245456784733715,
      0.7136485618693187,
      0.702929843997391,
      0.6923857951496886,
      0.6820127959010912,
      0.6718073329106916,
      0.6617659946747916,
      0.6518854675967188,
      0.6421625275250091,
      0.632593987671051,
      0.6231767333409197,
      0.6139077607449721,
      0.6047841643769092,
      0.5958031281705212,
      0.5869619186558833,
      0.5782578794131519,
      0.569688426733566,
      0.5612510456876852,
      0.5529432873786533,
      0.5447627657921155,
      0.5367071551476776,
      0.5287741880955374,
      0.5209616530948888,
      0.5132672897687822,
      0.5056884439072815,
      0.4982225285293857,
      0.49086719656914257,
      0.4836202767556722,
      0.4764797299414132,
      0.4694436192794816,
      0.4625100897392526,
      0.455677353777132,
      0.44894368078585384,
      0.44230739052827783,
      0.43576684741525595,
      0.4293204570433585,
      0.42296666315871084,
      0.41670399527324753,
      0.41053128665656324,
      0.40444744457435516,
      0.39845130674019913,
      0.39254164441511646,
      0.38671719058730913,
      0.3809766615311398,
      0.3753187710938438,
      0.369742239750558,
      0.36424580078146535,
      0.3588283140461189,
      0.35348916448958434,
      0.3482277440668008,
      0.343043147404194,
      0.33793411237760407,
      0.3328994636224807,
      0.3279382388293135,
      0.3230494534559458,
      0.31823208263186614,
      0.3134850812629348,
      0.3088073975568193,
      0.3041979814842458,
      0.2996557906408561,
      0.29517980487603385,
      0.2907691082379105,
      0.2864228227209891,
      0.2821400566935732,
      0.2779199035095054,
      0.27376144618869047,
      0.26966376651838253,
      0.2656259506230471,
      0.2616470928725091,
      0.2577263229137626,
      0.25386308979673633,
      0.25005695327126826,
      0.24630732814945705,
      0.24261353769486046,
      0.2389748487059551,
      0.2353904948622434,
      0.23185969230276568,
      0.22838164992562632,
      0.22495557644712472,
      0.22158068480704476,
      0.2182561952495801,
      0.21498133688863091,
      0.21175532448305853,
      0.20857730136044314,
      0.20544643980311422,
      0.20236195709965082,
      0.1993231042210591,
      0.19632915861081948,
      0.1933794189620087,
      0.19047320192582934,
      0.18760983950513252,
      0.18478867732791854,
      0.18200907360381102,
      0.17927039821396876,
      0.1765720321220589,
      0.17391336685023862,
      0.17129380403252048,
      0.1687127552085618,
      0.16616964155955097,
      0.16366389352211214,
      0.16119495064172173,
      0.15876226152606587,
      0.15636528352264556,
      0.1540034824386995,
      0.1516763325825236,
      0.1493833166431506,
      0.1471239253068073,
      0.14489765728971465,
      0.14270401911986724,
      0.14054252491521807,
      0.13841269652067492,
      0.1363140631584333,
      0.13424616136706433,
      0.1322085347393592,
      0.1302007340625827,
      0.12822231712422924,
      0.12627284832899496,
      0.12435189878712977,
      0.12245904619443908,
      0.12059387486005613,
      0.11875597534103956,
      0.11694494448481908,
      0.11516038531308262,
      0.11340190684915465,
      0.11166912414898922,
      0.1099616580395526,
      0.10827913505457375,
      0.10662118740109609,
      0.10498745291929693,
      0.10337757495899616,
      0.10179120220463696,
      0.10022798867690079,
      0.09868759362489285,
      0.09716968141698115,
      0.09567392140421364,
      0.09419998795981194,
      0.0927475602491982,
      0.09131632239209904,
      0.08990596315171015,
      0.08851617604057825,
      0.0871466591058122,
      0.08579711488280059,
      0.0844672504344986,
      0.0831567772189231,
      0.08186541080031769,
      0.08059287109323234,
      0.07933888220211759,
      0.07810317228851564,
      0.07688547360547934,
      0.07568552236813393,
      0.07450305878210102,
      0.07333782683755954,
      0.07218957432731084,
      0.07105805271609203,
      0.06994301726828288,
      0.06884422684875188,
      0.06776144384193064,
      0.06669443421749897,
      0.06564296734156398,
      0.06460681595969099,
      0.06358575622699261,
      0.06257956769385986,
      0.06158803303031133,
      0.0606109380767631,
      0.059648071957761506,
      0.05869922684488446,
      0.05776419797593992,
      0.05684278366986075,
      0.05593478517783447,
      0.05504000663166066,
      0.05415825501819405,
      0.05328934022222827,
      0.05243307489214501,
      0.05158927455164726,
      0.050757757340437346,
      0.04993834405750176,
      0.049130858134646266,
      0.04833512561064032,
      0.04755097496236142,
      0.046778237320591505,
      0.04601674626942709,
      0.04526633790661148,
      0.04452685065228466,
      0.04379812528312631,
      0.043080004860512694,
      0.04237233483309599,
      0.0416749629003015,
      0.04098773892263374,
      0.04031051514854307,
      0.039643145807966934,
      0.038985487340388675,
      0.038337398201402265,
      0.03769873901766389,
      0.03706937239390188,
      0.03644916292780147,
      0.0358379771880456,
      0.035235683763390716,
      0.034642153167224195,
      0.034057257787174194,
      0.033480871861439936,
      0.03291287146193134,
      0.03235313437018818,
      0.03180154035725567,
      0.031257970956205416,
      0.030722309253970317,
      0.030194440064697754,
      0.02967424996322922,
      0.02916162717275946,
      0.028656461560778907,
      0.028158644456885994,
      0.027668068876858017,
      0.027184629409802277,
      0.02670822217530724,
      0.026238744925847695,
      0.0257760967234622,
      0.025320178149382266,
      0.024870891265051428,
      0.02442813957248792,
      0.023991827859413922,
      0.023561862475544294,
      0.023138151106173475,
      0.022720602779922362,
      0.022309127703394042,
      0.021903637463137605,
      0.021504045056589226,
      0.021110264704091445,
      0.02072221183892367,
      0.0203398030976238,
      0.019962956343240103,
      0.019591590566368677,
      0.01922562605772081,
      0.0188649842739666,
      0.01850958777823438,
      0.018159360178427952,
      0.017814226298755762,
      0.017474111999517216,
      0.017138944363843993,
      0.016808651360957196,
      0.01648316208577227,
      0.01616240669072152,
      0.015846316302813974,
      0.01553482302744764,
      0.01522785993646606,
      0.014925361206806749,
      0.014627261868633687,
      0.01433349798979429,
      0.014044006373936612,
      0.013758724974714589,
      0.013477592505882001,
      0.013200548735541147,
      0.012927534148041847,
      0.012658490041486786,
      0.012393358621897424,
      0.01213208294194173,
      0.01187460708480965,
      0.01162087565852804,
      0.011370834157723782,
      0.011124429004242844,
      0.010881607342430736,
      0.010642317041893402,
      0.010406506686084865,
      0.010174125750930903,
      0.009945124266430936,
      0.009719453110681772,
      0.009497063848745532,
      0.00927790882908596,
      0.009061940837448693,
      0.008849113490539944,
      0.008639381206723853,
      0.008432699020804815,
      0.008229022617469016,
      0.008028308284725876,
      0.007830512965102744,
      0.007635594073750288,
      0.007443509700500532,
      0.00725421867427824,
      0.007067680465114074,
      0.006883855063517623,
      0.006702702912261373,
      0.006524185177377463,
      0.006348263621417446,
      0.0061749003958538095,
      0.00600405824262554,
      0.005835700570542157,
      0.005669792519859501,
      0.0055063006413657535,
      0.005345191410256808,
      0.005186431043670557,
      0.005029986048776001,
      0.004875823059457912,
      0.004723909118915122,
      0.0045742117028824015,
      0.004426698515510605,
      0.004281337757180346,
      0.004138098120444483,
      0.003996948705421837,
      0.0038578590318861473,
      0.0037207991107557647,
      0.0035857392688639117,
      0.0034526503124360196,
      0.0033215036161596883,
      0.0031922707245201887,
      0.0030649236153670956,
      0.0029394348762637108,
      0.002815777514498921,
      0.0026939247039568996,
      0.002573850125571429,
      0.0024555278258795088,
      0.00233893220413467,
      0.0022240380136880683,
      0.002110820530001975,
      0.0019992552117944476,
      0.0018893179483388336,
      0.001780984901031501,
      0.0016742327089580469,
      0.0015690383970852983,
      0.0014653792352277088,
      0.0013632328077223651,
      0.0012625770337374059,
      0.0011633901758686868,
      0.0010656508123344432,
      0.0009693377016223899,
      0.0008744300428196921,
      0.0007809073238868098,
      0.0006887493684698506,
      0.0005979363137112666,
      0.0005084485135418812,
      0.0004202666329551017,
      0.0003333715850097255,
      0.00024774455772425083,
      0.00016336713730313683,
      8.022100672477275e-05,
      -1.7117504985034561e-06,
      -8.244883545040027e-05,
      -0.0001620077524025033,
      -0.00024040559103443625,
      -0.00031765938006130467,
      -0.0003937858041130725,
      -0.00046880136465903374,
      -0.00054272226667066,
      -0.0006155644822648889,
      -0.0006873436415287201,
      -0.0007580753422150063,
      -0.0008277749054730417,
      -0.0008964573087168392,
      -0.0009641374991316731,
      -0.0010308300640497709,
      -0.001096549326474927,
      -0.0011613095286476288,
      -0.001225124709688966,
      -0.0012880086208668779,
      -0.0013499748177456165,
      -0.0014110367005898225,
      -0.0014712075862020767,
      -0.0015305004292468889,
      -0.001588928045149712,
      -0.0016465029565844807,
      -0.0017032376017034794,
      -0.0017591442240627946,
      -0.0018142350095978876,
      -0.0018685218673450575,
      -0.0019220165208841944,
      -0.0019747305669003835,
      -0.0020266754317364052
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566761141317487,
      10.336466843216124,
      10.098194707633686,
      9.85501890114138,
      9.609415908488627,
      9.363532774468394,
      9.11924367966115,
      8.878110395461487,
      8.641357749739859,
      8.409905517651586,
      8.184382722380281,
      7.965144601484461,
      7.752301917912012,
      7.545758536618556,
      7.34525167895461,
      7.150387373896964,
      6.960690235003231,
      6.7756429862096414,
      6.594717694173746,
      6.417402897832011,
      6.243221884790075,
      6.071734866859848,
      5.902560016781152,
      5.735385701588069,
      5.569972915583836,
      5.40616012680089,
      5.2438624389,
      5.083076271259722,
      4.92386892525041,
      4.766366598233027,
      4.6107620959795135,
      4.457313182244255,
      4.3063313801277365,
      4.158191268158104,
      4.013295600704448,
      3.872050324802509,
      3.734848468017005,
      3.602059865630389,
      3.4740225587234193,
      3.3510281345755706,
      3.2333146091220053,
      3.1210631188955484,
      3.0143968865900423,
      2.913373323352898,
      2.817978845819956,
      2.728134481426741,
      2.6437154818035484,
      2.5645458862838466,
      2.490395942818261,
      2.421026141193616,
      2.3561840976698694,
      2.2955843933219153,
      2.238911491005599,
      2.1858245933506413,
      2.135938251969798,
      2.0888811516065107,
      2.0443133143425487,
      2.001917305060053,
      1.9614122988941038,
      1.9225606374279616,
      1.8851742810651595,
      1.8491044170132191,
      1.8142281659465604,
      1.7804383248806093,
      1.7476463360710042,
      1.7157810663439568,
      1.6847838379428561,
      1.6546049982399456,
      1.625201668388831,
      1.5965361340196202,
      1.5685742217420515,
      1.5412825229096492,
      1.514630223272401,
      1.488589874906869,
      1.4631366401935089,
      1.438247756788435,
      1.4139021556253335,
      1.3900801823810731,
      1.3667640340923934,
      1.3439382673098523,
      1.3215879654077263,
      1.2996984905184603,
      1.2782555905100508,
      1.2572454636120793,
      1.236654791702018,
      1.2164707549325742,
      1.196681031613856,
      1.1772737908534163,
      1.1582376801981746,
      1.1395623616650634,
      1.1212399304918974,
      1.103263162446072,
      1.0856246857488139,
      1.0683170316678074,
      1.0513323999533748,
      1.0346638129999477,
      1.0183056727206965,
      1.0022518927145099,
      0.9864958976107081,
      0.9710308766464849,
      0.9558499500391427,
      0.9409462751774429,
      0.9263131148895986,
      0.9119438790499768,
      0.8978321494652572,
      0.8839716925054305,
      0.8703564648819876,
      0.8569806140393481,
      0.8438384765921911,
      0.8309245738563272,
      0.8182336057445365,
      0.8057604454604743,
      0.7935001329416984,
      0.7814478684027931,
      0.7695990058740481,
      0.757949047236498,
      0.7464936362324838,
      0.7352285523593979,
      0.7241497054639012,
      0.7132531303268318,
      0.7025349817444629,
      0.6919915296444258,
      0.6816191541250017,
      0.6714143415526359,
      0.6613736801531611,
      0.6514938559972948,
      0.6417716431303016,
      0.6322038530280867,
      0.6227873713013321,
      0.6135191945137085,
      0.6043964171224054,
      0.5954162228318783,
      0.5865758778946206,
      0.5778727256595924,
      0.5693041818951484,
      0.5608677314345673,
      0.5525609249386485,
      0.5443813760184825,
      0.5363267585032238,
      0.5283948044263699,
      0.5205833019814567,
      0.512890019989116,
      0.5053123456786275,
      0.49784766771809813,
      0.4904936226174264,
      0.48324802779291537,
      0.4761088364530866,
      0.4690741065497482,
      0.46214197938084595,
      0.455310664658379,
      0.4485784300205403,
      0.441943593691674,
      0.4354045191318573,
      0.42895961103300756,
      0.4226073125553806,
      0.4163461925864058,
      0.41017513628361185,
      0.40409302803154484,
      0.39809868301724205,
      0.39219085415814675,
      0.3863682621452257,
      0.38062961512233173,
      0.3749736211342864,
      0.36939899672521215,
      0.3639044724872317,
      0.3584889661063915,
      0.35315193045838966,
      0.3478927099405636,
      0.3427103620137161,
      0.3376036038353842,
      0.3325712775699816,
      0.3276124155934325,
      0.3227260173170046,
      0.3179110470776824,
      0.3131664525465457,
      0.3084911769398348,
      0.30388416687406256,
      0.29934437767817457,
      0.2948707951193207,
      0.29046251259407807,
      0.28611864585349966,
      0.28183829984618125,
      0.27762056395252865,
      0.27346451871013183,
      0.2693692439868619,
      0.2653338248855031,
      0.26135735474229405,
      0.2574389748432815,
      0.25357815110267523,
      0.24977443253270637,
      0.246027226792297,
      0.24233585230982504,
      0.23869957254516364,
      0.23511761901652503,
      0.23158920621990775,
      0.22811354209934054,
      0.22468983461695413,
      0.22131729621787882,
      0.21799514666593736,
      0.214722614872825,
      0.21149891040489455,
      0.20832317540503065,
      0.20519458431040538,
      0.202112355751612,
      0.1990757416784501,
      0.19608402012655257,
      0.19313649021239596,
      0.19023246888047857,
      0.187371288245852,
      0.18455229405792994,
      0.1817748445803022,
      0.1790383098070039,
      0.17634207069505398,
      0.17368551883050742,
      0.17106805586633725,
      0.16848909316950944,
      0.16594805196892543,
      0.16344436274610016,
      0.16097746504985166,
      0.15854680744255642,
      0.1561518472278776,
      0.1537920502590899,
      0.15146689088423457,
      0.1491758516729271,
      0.1469184233626574,
      0.14469410458566362,
      0.14250240196167865,
      0.14034282968509337,
      0.13821490956633614,
      0.13611817086632844,
      0.1340521500440381,
      0.13201639080548366,
      0.13001044396417408,
      0.1280338671573473,
      0.1260862249073796,
      0.12416708834745743,
      0.12227603527971885,
      0.12041264992928691,
      0.11857652292827388,
      0.11676725112893921,
      0.11498443760846587,
      0.1132276913432261,
      0.11149662754497291,
      0.10979086701782918,
      0.10811003629066729,
      0.1064537677426117,
      0.10482169920687594,
      0.10321347404440692,
      0.10162874103221438,
      0.10006715412327874,
      0.09852837259935272,
      0.0970120609168375,
      0.09551788845615834,
      0.0940455296627283,
      0.09259466381091176,
      0.09116497500081985,
      0.08975615210177042,
      0.08836788861029478,
      0.08699988260691945,
      0.08565183676079252,
      0.08432345808291981,
      0.08301445800669009,
      0.08172455227345976,
      0.080453460897351,
      0.0792009080594617,
      0.07796662194947883,
      0.07675033488926694,
      0.07555178307642162,
      0.07437070674905076,
      0.07320685005346673,
      0.07205996081735068,
      0.07092979057208355,
      0.06981609464224744,
      0.06871863194362424,
      0.06763716499480486,
      0.06657145973141858,
      0.06552128558180766,
      0.06448641543704736,
      0.06346662543360025,
      0.06246169514223184,
      0.06147140744232243,
      0.060495548277335616,
      0.05953390674329785,
      0.05858627508072809,
      0.057652448614632465,
      0.05673222568985592,
      0.05582540760212301,
      0.054931798530301695,
      0.05405120567346056,
      0.05318343881716972,
      0.052328310803348516,
      0.051485637165430066,
      0.050655236120347724,
      0.0498369285356599,
      0.04903053789704914,
      0.04823589031444336,
      0.047452814442467156,
      0.046681141505902336,
      0.045920705153874246,
      0.04517134144049103,
      0.044432888875398875,
      0.04370518826394555,
      0.04298808282658884,
      0.04228141803160072,
      0.04158504165887539,
      0.040898803758278736,
      0.0402225564542112,
      0.03955615408594502,
      0.03889945314628671,
      0.03825231225717311,
      0.03761459193703667,
      0.03698615498324854,
      0.03636686607719981,
      0.03575659188368009,
      0.035155201030510966,
      0.03456256410500251,
      0.03397855354064444,
      0.033403043606209624,
      0.0328359104525376,
      0.032277031998233105,
      0.03172628802263458,
      0.031183560071808787,
      0.030648731387229754,
      0.03012168688559724,
      0.029602313154582123,
      0.029090498506107017,
      0.028586132768807594,
      0.028089107487490887,
      0.02759931573453235,
      0.027116652156378856,
      0.026641012955970725,
      0.026172295919755735,
      0.025710400170244865,
      0.02525522638260275,
      0.024806676624935926,
      0.02436465444600968,
      0.02392906477150359,
      0.02349981400903619,
      0.02307680984096306,
      0.022659961308501713,
      0.02224917883090137,
      0.02184437406475678,
      0.021445459981365825,
      0.021052350829577456,
      0.0206649620545874,
      0.020283210429575777,
      0.019907013965122605,
      0.019536291804603423,
      0.01917096424455407,
      0.01881095267675214,
      0.01845617970667034,
      0.018106569091999772,
      0.017762045647474627,
      0.01742253540195918,
      0.017087965372249447,
      0.01675826358233615,
      0.016433359233102234,
      0.016113182526469115,
      0.015797664659206057,
      0.015486737769429035,
      0.01518033502056863,
      0.014878390638167616,
      0.014580839798521306,
      0.014287618419000439,
      0.013998663523944181,
      0.013713913073923079,
      0.013433305856299614,
      0.013156781594970716,
      0.012884280828342948,
      0.012615744924498294,
      0.012351116328212645,
      0.012090338163620758,
      0.011833354322801705,
      0.011580109620905667,
      0.01133054962445253,
      0.011084620774865045,
      0.010842270191139472,
      0.010603445710499705,
      0.010368096097308497,
      0.010136170816573807,
      0.009907619950165172,
      0.009682394471833288,
      0.009460446042120292,
      0.009241726952307398,
      0.009026190159845283,
      0.008813789434646413,
      0.008604479088486036,
      0.008398214145792757,
      0.008194950275231707,
      0.007994643800225841,
      0.007797251763014963,
      0.007602731673271926,
      0.007411041786810372,
      0.007222140967132001,
      0.007035988536733136,
      0.006852544550112538,
      0.006671769598717952,
      0.006493624802640123,
      0.006318071925314312,
      0.006145073267857839,
      0.00597459170570353,
      0.005806590574657381,
      0.005641034054789642,
      0.005477888512147296,
      0.005317120865492322,
      0.005158697731414353,
      0.0050025857895043616,
      0.0048487518807007746,
      0.004697163080531945,
      0.004547786976944268,
      0.004400591377766755,
      0.004255544617009709,
      0.004112615347672953,
      0.0039717727496272745,
      0.0038329864149011473,
      0.00369622627931126,
      0.0035614628543192478,
      0.0034286670284711025,
      0.003297810035906219,
      0.0031688635914814732,
      0.003041799798872243,
      0.0029165912130371787,
      0.0027932107196801826,
      0.0026716316319119644,
      0.0025518276556188066,
      0.0024337728437788804,
      0.0023174415326070092,
      0.00220280859079118,
      0.002089849250652563,
      0.0019785390684046865,
      0.0018688540189105856,
      0.0017607704458962952,
      0.0016542649437400001,
      0.0015493144308648319,
      0.001445896230914927,
      0.0013439880028192355,
      0.0012435676849323685,
      0.0011446135355539793,
      0.0010471040985801725,
      0.0009510182401221907,
      0.0008563351481218641,
      0.0007630345052262545,
      0.0006710960908376102,
      0.0005804999754387303,
      0.0004912265121023195,
      0.0004032564759489225,
      0.0003165708101689454,
      0.0002311508441195701,
      0.0001469780608947509,
      6.403415827066538e-05,
      -1.7698800638268824e-05,
      -9.823844490239868e-05,
      -0.00017760226695684393,
      -0.00025580726485307956,
      -0.00033287044812710875,
      -0.0004088085099864521,
      -0.00048363792489387327,
      -0.000557374873004961,
      -0.0006300352212890379,
      -0.000701634630190376,
      -0.0007721886850203922,
      -0.000841712683728236,
      -0.00091022165244614,
      -0.0009777302899007215,
      -0.0010442533115108353,
      -0.0011098050997531421,
      -0.0011743998818069218,
      -0.001238051588069565,
      -0.0013007739768314442,
      -0.0013625805038206737,
      -0.0014234846359161175,
      -0.0014834995793890006,
      -0.001542638211134033,
      -0.0016009134088885383,
      -0.0016583378348564,
      -0.0017149237943870144,
      -0.0017706836152505366,
      -0.0018256293331803865,
      -0.001879772847589236,
      -0.001933125923446325,
      -0.001985700135982933,
      -0.002037506775984047
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566758405620059,
      10.336453468047843,
      10.098163754221279,
      9.854965378827597,
      9.609335840614529,
      9.363423318615999,
      9.119103067559855,
      8.877938100613946,
      8.641154020666491,
      8.409670893810407,
      8.184117876391262,
      7.964850232732469,
      7.751978657849875,
      7.545406890009146,
      7.34487183736922,
      7.149979265253632,
      6.960253751553125,
      6.775178010880368,
      6.594224140315719,
      6.41688083710774,
      6.242671661007708,
      6.071157032351777,
      5.9019552834558455,
      5.734755039641212,
      5.569317571382525,
      5.405481632339683,
      5.2431626443851265,
      5.082357380605395,
      4.923133425461629,
      4.765617152918019,
      4.610001747413808,
      4.456545248051607,
      4.305559763857399,
      4.157420433045066,
      4.012529984726685,
      3.871294227436903,
      3.7341059688423894,
      3.6013348968568923,
      3.473318729361265,
      3.3503485951156295,
      3.2326620167415343,
      3.1204396194815347,
      3.0138041119552508,
      2.912812238424583,
      2.817449672656739,
      2.7276367067389766,
      2.6432481771152445,
      2.5641073627318236,
      2.489984082575372,
      2.420638727869789,
      2.355818798899988,
      2.2952386497287707,
      2.2385825531601813,
      2.185509257246835,
      2.1356333776551955,
      2.0885838649228896,
      2.044020971111964,
      2.001627545056387,
      1.9611232128666511,
      1.9222707979933118,
      1.8848826523150384,
      1.8488102352271285,
      1.8139308741372633,
      1.7801375256912748,
      1.7473417622838932,
      1.715472536909877,
      1.684471250740826,
      1.6542883078523107,
      1.6248808692329728,
      1.5962112481573205,
      1.5682453030344756,
      1.5409496550991482,
      1.5142934893150561,
      1.4882493576792502,
      1.4627924218678219,
      1.4378999194175561,
      1.4135507799855966,
      1.3897253484782097,
      1.3664058636148644,
      1.3435768860325712,
      1.321223482276455,
      1.299331001783953,
      1.2778851839842047,
      1.2568722209583467,
      1.2362787898773127,
      1.2160920671851667,
      1.1962997286459105,
      1.1768899416898915,
      1.15785135199749,
      1.139173767372831,
      1.1208493209028312,
      1.102870735887228,
      1.0852306061145744,
      1.0679214317707377,
      1.0509353867240445,
      1.0342657041293473,
      1.0179067914721804,
      1.0018524673251967,
      0.9860960921711326,
      0.9706308123533605,
      0.9554497189373913,
      0.9405459496177965,
      0.925912754141585,
      0.9115435337932752,
      0.8974318640663705,
      0.8835715071176905,
      0.8699564168138268,
      0.8565807391060469,
      0.8434388092328685,
      0.8305251468304065,
      0.8178344510856493,
      0.8053615949608246,
      0.7931016177609983,
      0.7810497190729179,
      0.7692012525463837,
      0.7575517197155596,
      0.7460967637196345,
      0.7348321637450683,
      0.7237538294830964,
      0.7128577952982224,
      0.7021402154773982,
      0.691597359590778,
      0.6812256074453907,
      0.6710214449953429,
      0.6609814597459481,
      0.6511023373138183,
      0.6413808505563685,
      0.6318138090405213,
      0.6223980988386235,
      0.6131307166683659,
      0.604008757030935,
      0.5950294035575593,
      0.5861899220492696,
      0.5774876554746989,
      0.5689200194383084,
      0.5604844983611617,
      0.5521786425159013,
      0.544000064913162,
      0.535946438892252,
      0.5280154961256317,
      0.5202050243131577,
      0.5125128216003106,
      0.504936316833177,
      0.4974728740738136,
      0.4901201135595848,
      0.4828758415957591,
      0.47573800374578185,
      0.46870465265751277,
      0.46177392582910937,
      0.45494403027796826,
      0.4482132317844502,
      0.44157984718466403,
      0.43504223878228715,
      0.428598810539683,
      0.42224800474780605,
      0.41598846333963607,
      0.40981908228475306,
      0.40373872486551016,
      0.39774618258814837,
      0.3918401925358509,
      0.38601946460251774,
      0.38028269955335675,
      0.3746286005011445,
      0.36905588054204913,
      0.36356326793241533,
      0.3581497839955484,
      0.3528148875082394,
      0.34755788128753345,
      0.34237778938870445,
      0.3372733106112974,
      0.33224330620254144,
      0.32728680421888817,
      0.3224027886813666,
      0.317590213606663,
      0.3128480199118218,
      0.30817514608409236,
      0.3035705355959284,
      0.29903314154074273,
      0.2945619556852799,
      0.2901560806778798,
      0.285814626985532,
      0.28153669506278256,
      0.27732137046373456,
      0.27316773117380305,
      0.2690748552365938,
      0.2650418264460729,
      0.2610677374397915,
      0.2571517412615527,
      0.2532933205928154,
      0.2494920135597454,
      0.2457472206973343,
      0.24205825569136352,
      0.2384243786665871,
      0.23484481881773087,
      0.23131878910229425,
      0.22784549652511815,
      0.22442414835992877,
      0.22105395654661744,
      0.21773414049794415,
      0.21446392896423477,
      0.2112425256480097,
      0.20806907209438102,
      0.20494274489671863,
      0.2018627641060091,
      0.19882838253870694,
      0.1958388788129279,
      0.19289355245895784,
      0.18999172057749622,
      0.18713271544947765,
      0.18431588299935256,
      0.1815405815727128,
      0.17880618122846037,
      0.17611206290691586,
      0.17345761815887492,
      0.17084224864584932,
      0.168265365920191,
      0.16572639108301013,
      0.1632247545108511,
      0.16075989578378164,
      0.1583312634910737,
      0.15593831488222495,
      0.15358051585872073,
      0.15125734077257882,
      0.14896827222251852,
      0.14671280089798266,
      0.1444904254453668,
      0.14230065252840804,
      0.14014299636414282,
      0.13801697859850554,
      0.13592212852122512,
      0.13385798276233982,
      0.1318240850486657,
      0.12981998606391787,
      0.12784524362226915,
      0.12589942220803552,
      0.12398209298115244,
      0.12209283367580565,
      0.120231228697279,
      0.11839686868022428,
      0.11658935052426325,
      0.11480827723937113,
      0.11305325795071616,
      0.11132390770677496,
      0.10961984737623115,
      0.10794070367240191,
      0.1062861088845761,
      0.10465570093292859,
      0.10304912323882194,
      0.10146602456847902,
      0.09990605899002938,
      0.09836888581635116,
      0.0968541694765341,
      0.0953615793856141,
      0.09389079010485066,
      0.09244148094665676,
      0.09101333604157759,
      0.08960604430053382,
      0.08821929931115183,
      0.08685279928839171,
      0.08550624678364893,
      0.08417934893373116,
      0.08287181726792484,
      0.08158336756869747,
      0.0803137198428131,
      0.07906259831692188,
      0.07782973121905684,
      0.07661485095617168,
      0.07541769389623774,
      0.07423800018358606,
      0.07307551406414166,
      0.07192998354143695,
      0.07080116016052998,
      0.06968879925706964,
      0.06859265980891413,
      0.06751250432375015,
      0.06644809891138276,
      0.0653992130763,
      0.0643656197805948,
      0.0633470952871385,
      0.06234341915815244,
      0.06135437414184163,
      0.06037974638239009,
      0.05941932503513723,
      0.05847290246246765,
      0.057540274100730274,
      0.05662123834846755,
      0.055715596602553555,
      0.05482315301258381,
      0.053943714796012926,
      0.053077092062079625,
      0.052223097614953064,
      0.05138154694165104,
      0.050552258328157566,
      0.04973505265137722,
      0.0489297536237579,
      0.048136187373751554,
      0.04735418254774092,
      0.04658357049463991,
      0.04582418490067986,
      0.0450758619518596,
      0.04433844021604074,
      0.0436117606808883,
      0.04289566643151216,
      0.042190003163500814,
      0.04149461862405816,
      0.040809362866059525,
      0.04013408821491402,
      0.03946864907867982,
      0.03881290197933566,
      0.03816670559509426,
      0.037529920585619846,
      0.0369024097073731,
      0.036284037857714835,
      0.03567467178705651,
      0.035074180151803656,
      0.03448243351429267,
      0.03389930431833303,
      0.033324666976806354,
      0.0327583977920094,
      0.03220037476866792,
      0.0316504777868323,
      0.031108588294951098,
      0.03057458958184528,
      0.030048366699345797,
      0.029529806312287105,
      0.029018796764805586,
      0.028515228019261,
      0.028018991684423157,
      0.027529980916167665,
      0.027048090394309054,
      0.026573216368833252,
      0.026105256585040024,
      0.02564411030987694,
      0.025189678326088424,
      0.024741862824011977,
      0.0243005673688439,
      0.02386569701317035,
      0.023437158148165996,
      0.02301485851255385,
      0.022598707257782135,
      0.022188614776908724,
      0.02178449285641216,
      0.021386254572530104,
      0.020993814167336797,
      0.020607087240880048,
      0.020225990509818274,
      0.019850441958269568,
      0.01948036086655711,
      0.019115667698665535,
      0.0187562838351464,
      0.01840213193308769,
      0.01805313579485608,
      0.017709220457640923,
      0.017370311874374017,
      0.01703633706872055,
      0.01670722421178793,
      0.01638290256330572,
      0.01606330221977885,
      0.015748354603905373,
      0.015437991903052275,
      0.015132147369921438,
      0.014830755238546918,
      0.01453375067676922,
      0.014241069760978713,
      0.013952649530851517,
      0.013668427965075423,
      0.013388343903560636,
      0.013112337157625864,
      0.012840348331094275,
      0.012572318930965217,
      0.012308191239837384,
      0.012047908439323386,
      0.01179141459079051,
      0.011538654632415005,
      0.011289574156560742,
      0.011044119572008796,
      0.010802238006506856,
      0.010563877540726324,
      0.010328986896413275,
      0.010097515457080488,
      0.009869413457584639,
      0.009644631985936427,
      0.00942312271516748,
      0.009204837942845379,
      0.008989730670872345,
      0.008777754631239828,
      0.008568864212449456,
      0.00836301459873355,
      0.008160161511471812,
      0.007960261296283444,
      0.007763270891692881,
      0.0075691480735961365,
      0.007377851086031727,
      0.007189338789004097,
      0.007003570630759522,
      0.00682050662206759,
      0.00664010737018948,
      0.00646233400065159,
      0.006287148373734733,
      0.006114512813631942,
      0.0059443902662683215,
      0.005776744185439347,
      0.005611538484880227,
      0.0054487385668709,
      0.005288311492124456,
      0.005130224336307395,
      0.0049744440737455415,
      0.004820937791401033,
      0.004669672814127796,
      0.004520616697028439,
      0.004373737441875535,
      0.004229003384132376,
      0.004086383322997854,
      0.003945846354522871,
      0.00380736217650069,
      0.003670900778650623,
      0.003536432706517017,
      0.003403928786806506,
      0.0032733603946571476,
      0.003144699162939758,
      0.0030179172718271387,
      0.002892987371733557,
      0.0027698823800277987,
      0.0026485754953872657,
      0.002529040531861155,
      0.002411251669852802,
      0.00229518344996415,
      0.002180810692346266,
      0.002068108607583784,
      0.0019570528267589004,
      0.0018476192548070858,
      0.0017397841541742691,
      0.0016335242104328922,
      0.0015288164727282707,
      0.001425638174592905,
      0.001323967019948679,
      0.0012237809046651829,
      0.0011250581604293189,
      0.0010277775526110196,
      0.0009319180251123102,
      0.0008374588338669629,
      0.0007443794400544507,
      0.0006526596394483264,
      0.0005622796037705147,
      0.00047321973289651446,
      0.00038546084532217636,
      0.00029898380355296956,
      0.00021376989100879126,
      0.00012980067449599395,
      4.7057989445404644e-05,
      -3.447602347998971e-05,
      -0.0001148190011430712,
      -0.00019398845896793787,
      -0.0002720014843024866,
      -0.00034887493088306865,
      -0.0004246254722312218,
      -0.0004992694826381886,
      -0.0005728231269248503,
      -0.0006453023856451661,
      -0.000716723003418183,
      -0.0007871004234540283,
      -0.0008564498099835388,
      -0.0009247861142848466,
      -0.0009921242414578913,
      -0.0010584787334568294,
      -0.0011238640046373428,
      -0.0011882942073063443,
      -0.0012517832872257061,
      -0.0013143449875424747,
      -0.0013759928519861246,
      -0.001436740201523244,
      -0.0014966002057860788,
      -0.001555585794888579,
      -0.0016137097865308544,
      -0.001670984751706481,
      -0.00172742302605017,
      -0.0017830368154459356,
      -0.0018378382821460312,
      -0.0018918392552594952,
      -0.0019450514173360196,
      -0.0019974862801354605,
      -0.00204915524264303
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56675567806065,
      10.336440130600113,
      10.098132880936326,
      9.854911985539083,
      9.60925595317023,
      9.36331409750569,
      9.118962745694246,
      8.877766150190203,
      8.640950689734531,
      8.409436721506678,
      8.183853531226482,
      7.964556412184444,
      7.751655995219261,
      7.545055889768995,
      7.344492620526326,
      7.149571768980258,
      6.959817875667076,
      6.774713646896216,
      6.593731208359278,
      6.416359412779224,
      6.2421220905485,
      6.070579870498059,
      5.901351245578494,
      5.734125083014525,
      5.568662948191479,
      5.4048038797479325,
      5.242463616501897,
      5.081639284260724,
      4.922398749548457,
      4.764868561954222,
      4.609242284211774,
      4.455778229074501,
      4.304789134755084,
      4.156650649724199,
      4.011765477132708,
      3.870539285356315,
      3.7333646629528925,
      3.6006111494761064,
      3.472616139719647,
      3.3496703051700485,
      3.2320106755967415,
      3.1198173650430627,
      3.0132125683848163,
      2.912252363200201,
      2.8169216807047297,
      2.7271400799825996,
      2.6427819839921436,
      2.563669912480946,
      2.489573256228108,
      2.4202523084339256,
      2.3554544546082905,
      2.2948938230813,
      2.238254498526975,
      2.18519477256539,
      2.1353293249405643,
      2.088287375264443,
      2.0437294058054634,
      2.0013385482506805,
      1.9608348799145334,
      1.9219817053223025,
      1.8845917661826692,
      1.8485167935436477,
      1.8136343217422388,
      1.7798374662277516,
      1.7470379290592823,
      1.715164749634544,
      1.6841594079799747,
      1.6539723639345605,
      1.6245608182960873,
      1.5958871127700367,
      1.5679171367225273,
      1.5406175419517092,
      1.5139575129093028,
      1.4879096005654482,
      1.462448965757313,
      1.4375528455630848,
      1.4132001692434522,
      1.389371280439607,
      1.3660484604823921,
      1.3432162731915742,
      1.320859768446728,
      1.2989642837119824,
      1.2775155497832666,
      1.2564997522965284,
      1.2359035640796623,
      1.215714157925875,
      1.1959192065510793,
      1.176506875307155,
      1.1574658079105618,
      1.1387859581586042,
      1.1204594974972961,
      1.1024790965564362,
      1.0848373143873091,
      1.067526620754206,
      1.0505391631337857,
      1.0338683859480309,
      1.017508702405379,
      1.001453835592927,
      0.9856970817947139,
      0.9702315443560815,
      0.9550502852381535,
      0.9401464229965885,
      0.9255131941912527,
      0.9111439908513763,
      0.8970323823545534,
      0.8831721270955132,
      0.8695571760381524,
      0.856181672921249,
      0.8430399513438874,
      0.8301265302171885,
      0.8174361081939173,
      0.8049635572710977,
      0.7927039160572951,
      0.7806523839033226,
      0.7688043140629292,
      0.7571552077836001,
      0.7457007079404976,
      0.734436593163785,
      0.7233587725910154,
      0.7124632801013768,
      0.7017462699114728,
      0.6912040108578715,
      0.6808328822825402,
      0.6706293697805964,
      0.6605900606715761,
      0.6507116401187452,
      0.6409908794358794,
      0.6314245865092919,
      0.622009648202508,
      0.6127430609543767,
      0.6036219192071106,
      0.5946434064654348,
      0.5858047884312764,
      0.5771034077404416,
      0.5685366793974113,
      0.5601020875588657,
      0.5517971819255079,
      0.5436195751290065,
      0.5355669403672957,
      0.5276370089441548,
      0.5198275680587205,
      0.5121364447679743,
      0.5045611097053779,
      0.4970989025484434,
      0.4897474270512385,
      0.48250447832435944,
      0.4753679941764239,
      0.4683360218660841,
      0.4614066952599507,
      0.4545782187209578,
      0.4478488561348611,
      0.44121692309069516,
      0.43468078079988587,
      0.4282388322542782,
      0.4218895190667119,
      0.4156315559233343,
      0.4094638508140976,
      0.4033852444067884,
      0.39739450461668013,
      0.39149035280578903,
      0.38567148818286606,
      0.37993660404109725,
      0.37428439872127467,
      0.36871358200550775,
      0.3632228797699957,
      0.3578114169304841,
      0.35247865814457846,
      0.3472238645648933,
      0.34204602694660163,
      0.33694383113871934,
      0.3319161546467554,
      0.3269620161132942,
      0.32208038494132424,
      0.3172702054908657,
      0.3125304119481491,
      0.307859938611559,
      0.3032577260286897,
      0.2987227251357326,
      0.2942539371737497,
      0.28985046962524424,
      0.2855114278594116,
      0.28123590815786426,
      0.2770229924772439,
      0.2728717563628937,
      0.26878127648822836,
      0.26475063527075743,
      0.2607789245434346,
      0.2568653091027642,
      0.2530092883789435,
      0.24921038988599226,
      0.24546800691470827,
      0.24178144819844366,
      0.2381499707616798,
      0.23457280140486608,
      0.23104915179414942,
      0.22757822767032895,
      0.2241592356752172,
      0.22079138727385117,
      0.21747390148181278,
      0.21420600685414595,
      0.2109869013988721,
      0.20781572613077265,
      0.20469165961308794,
      0.2016139232320433,
      0.19858177076318095,
      0.1955944814099893,
      0.19265135511900355,
      0.18975170930245888,
      0.1868948763844003,
      0.1840802024418244,
      0.1813070459054647,
      0.178574776711542,
      0.1758827759137325,
      0.1732304351063693,
      0.1706171558608001,
      0.16804234978388513,
      0.1655054379401837,
      0.16300585064132608,
      0.16054302757693611,
      0.1581164172252605,
      0.1557254769867995,
      0.1533696726415837,
      0.15104847856671905,
      0.1487613773600728,
      0.14650785971565644,
      0.14428742441011647,
      0.14209957797508357,
      0.13994383455026452,
      0.13781971601892365,
      0.13572675163169468,
      0.1336644779698021,
      0.1316324387262959,
      0.12963018468009913,
      0.12765727355128983,
      0.12571326981377742,
      0.12379774482764254,
      0.12191027636259805,
      0.12005044873955632,
      0.11821785260434228,
      0.11641208481014788,
      0.11463274845348542,
      0.11287945273265146,
      0.1111518128131113,
      0.10944944956569706,
      0.10777198962861871,
      0.10611906546305938,
      0.10449031498842452,
      0.10288538165610907,
      0.10130391433751883,
      0.09974556710308848,
      0.09820999924149491,
      0.09669687518784226,
      0.09520586451430656,
      0.09373664165788742,
      0.09228888612957399,
      0.09086228218057005,
      0.08945651866343299,
      0.08807128922064021,
      0.08670629202516927,
      0.08536122985515623,
      0.08403580981238837,
      0.08272974350129758,
      0.08144274670211823,
      0.08017453955501867,
      0.07892484629517682,
      0.07769339532693882,
      0.07647991908703744,
      0.07528415403974545,
      0.07410584032073625,
      0.07294472212265467,
      0.07180054749061722,
      0.07067306815103158,
      0.06956203950646293,
      0.06846722061824838,
      0.0673883739826066,
      0.06632526581930039,
      0.06527766567060751,
      0.06424534648323295,
      0.06322808464551434,
      0.0622256597700132,
      0.06123785481259053,
      0.06026445591731102,
      0.0593052522987798,
      0.0583600363903193,
      0.05742860354585396,
      0.0565107523636865,
      0.05560628420133292,
      0.05471500349936792,
      0.05383671743594916,
      0.05297123606878128,
      0.0521183723221213,
      0.05127794192139561,
      0.05044976312823854,
      0.04963365701618896,
      0.04882944710504388,
      0.04803695967219392,
      0.04725602357199232,
      0.04648647006799608,
      0.04572813289688432,
      0.044980848408729825,
      0.04424445520181066,
      0.043518794242978165,
      0.04280370884773235,
      0.04209904468166745,
      0.04140464962491783,
      0.04072037388340487,
      0.04004606973977526,
      0.03938159168474852,
      0.03872679642973476,
      0.03808154253629746,
      0.03744569082920865,
      0.0368191040957214,
      0.03620164723828396,
      0.035593187037065314,
      0.03499359231463649,
      0.034402733717046934,
      0.0338204838073314,
      0.033246717150407556,
      0.03268130996995661,
      0.03212414031109258,
      0.03157508806363961,
      0.031034034887775952,
      0.030500864066728507,
      0.02997546077302575,
      0.02945771161354484,
      0.028947505166358575,
      0.02844473144972718,
      0.027949282096928273,
      0.027461050256945358,
      0.026979930692111218,
      0.026505819799319475,
      0.026038615363892625,
      0.02557821673884823,
      0.025124524731101324,
      0.024677441512415202,
      0.02423687082850451,
      0.023802717704988343,
      0.023374888673821106,
      0.022953291572927574,
      0.022537835586154905,
      0.022128431295199452,
      0.021724990456568418,
      0.021327426107926022,
      0.02093565261559243,
      0.02054958564464347,
      0.02016914194945001,
      0.0197942395949351,
      0.01942479793452813,
      0.019060737389639894,
      0.018701979538876205,
      0.018348447020692667,
      0.01800006382201577,
      0.0176567548783537,
      0.017318446244332424,
      0.01698506508383907,
      0.01665653959435726,
      0.016332799056542807,
      0.016013773773236744,
      0.015699395025343454,
      0.015389595082451047,
      0.0150843072044191,
      0.014783465640502775,
      0.014487005727964632,
      0.014194863638588481,
      0.013906976522645395,
      0.013623282377186909,
      0.013343720038182993,
      0.013068229386041469,
      0.012796751071734846,
      0.012529226589342036,
      0.01226559833277741,
      0.012005809611746802,
      0.011749804543840628,
      0.011497527994460075,
      0.011248925659483763,
      0.011003943998662565,
      0.010762530159056528,
      0.010524632276771195,
      0.010290199152557692,
      0.010059180267267324,
      0.009831525927250851,
      0.0096071871075192,
      0.009386115475611368,
      0.009168263558330765,
      0.008953584402732521,
      0.008742031741876866,
      0.00853356010586331,
      0.008328124675212708,
      0.008125681155955628,
      0.007926185974719528,
      0.007729596196857452,
      0.00753586954244446,
      0.007344964290323582,
      0.007156839349683918,
      0.006971454168994434,
      0.006788768824741201,
      0.006608743985835519,
      0.006431340988081652,
      0.006256521644361149,
      0.006084248215569942,
      0.005914483574293149,
      0.005747191364380773,
      0.005582335622887235,
      0.005419880931488639,
      0.005259793924992797,
      0.005102042129829087,
      0.004946592895483095,
      0.004793413501488488,
      0.004642471417264572,
      0.004493734314192837,
      0.004347170237841858,
      0.004202747685869524,
      0.00406043552265053,
      0.003920203009747322,
      0.0037820198061304963,
      0.003645855880819273,
      0.003511681840391599,
      0.00337946866074807,
      0.0032491877070070538,
      0.0031208107036309676,
      0.0029943098271226582,
      0.002869657686116793,
      0.0027468272070152937,
      0.002625791794758615,
      0.0025065252350748198,
      0.002389001655192344,
      0.00227319564489634,
      0.002159082112258728,
      0.002046636305984898,
      0.001935833724633076,
      0.0018266503639657906,
      0.0017190625717174854,
      0.001613047069360907,
      0.0015085809306229154,
      0.00140564162510841,
      0.001304206847093074,
      0.0012042544789637507,
      0.0011057627969503958,
      0.0010087103985363744,
      0.0009130763411395171,
      0.0008188399325743743,
      0.0007259806689975181,
      0.0006344783898098787,
      0.0005443133192820625,
      0.0004554659379185719,
      0.00036791704596801465,
      0.00028164753532653125,
      0.00019663879162507111,
      0.000112872449381459,
      3.0330243523922533e-05,
      -5.1005648810248464e-05,
      -0.0001311528499788809,
      -0.00021012866011467052,
      -0.00028795033507252255,
      -0.00036463479804023195,
      -0.0004401985848753395,
      -0.0005146580617908922,
      -0.0005880293561503502,
      -0.0006603284577597497,
      -0.0007315710209269749,
      -0.0008017723686942934,
      -0.0008709477564830639,
      -0.0009391121839009955,
      -0.00100628044101388,
      -0.0010724670836631323,
      -0.0011376864078183368,
      -0.001201952550280634,
      -0.0012652795571136408,
      -0.0013276810440560193,
      -0.0013891705873229098,
      -0.0014497615605906441,
      -0.001509467022134604,
      -0.0015682998614748585,
      -0.001626272869059223,
      -0.0016833986910375488,
      -0.0017396896563505555,
      -0.0017951580350161296,
      -0.0018498158063797558,
      -0.001903674763447024,
      -0.001956746578260679,
      -0.002009042796852224,
      -0.0020605747253599925
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566752958842715,
      10.336426835550814,
      10.09810210489844,
      9.854858753607266,
      9.60917629740925,
      9.36320518384921,
      9.11882280854516,
      8.877594662732486,
      8.640747901089116,
      8.409203169125893,
      8.183589882067823,
      7.964263362645795,
      7.751334176569188,
      7.54470580713397,
      7.344114395681606,
      7.149165340609926,
      6.959383145706092,
      6.774250508269676,
      6.5932395830207104,
      6.4158393779128655,
      6.241573995258562,
      6.070004272392535,
      5.900748859982136,
      5.733496862643089,
      5.568010146090067,
      5.4041280328456125,
      5.241766577976175,
      5.08092325944984,
      4.921666223903795,
      4.764122194952333,
      4.608485113568408,
      4.455013564525619,
      4.3040210392841916,
      4.155883553528354,
      4.011003784591155,
      3.869787262069805,
      3.73262635465209,
      3.5998904557934757,
      3.4719166379675115,
      3.348995115816834,
      3.2313624279991817,
      3.1191981789842727,
      3.01262405129694,
      2.9116954588449873,
      2.8163965930525343,
      2.7266462829702403,
      2.6423185405471616,
      2.5632351280683614,
      2.489165010034649,
      2.4198683823696614,
      2.3550925171326784,
      2.294551319849371,
      2.2379286878178513,
      2.1848824554402833,
      2.1350273683282213,
      2.087992917968196,
      2.0434398167889505,
      2.00105147949232,
      1.9605484334831227,
      1.9216944629973947,
      1.8843026987149676,
      1.8482251429118166,
      1.81333953569727,
      1.7795391507859082,
      1.7467358194252247,
      1.7148586672833361,
      1.6838492532503353,
      1.6536580930288753,
      1.624242426503127,
      1.5955646229768952,
      1.5675906031029856,
      1.5402870490570186,
      1.513623144738666,
      1.4875714405025509,
      1.4621070967523733,
      1.437207349745026,
      1.412851127722696,
      1.3890187731974337,
      1.3656926095303878,
      1.3428572039524416,
      1.3204975896467883,
      1.2985990924252953,
      1.2771474341570102,
      1.2561287942945163,
      1.2355298410719469,
      1.215337743885874,
      1.1955401729601791,
      1.1761252911040627,
      1.1570817401628595,
      1.1383996200170319,
      1.1200711396951968,
      1.1020889202436828,
      1.0844454847933829,
      1.0671332692143938,
      1.0501444347038913,
      1.0334726170726287,
      1.0171121958168527,
      1.001056805308014,
      0.9852996826432713,
      0.969833890974407,
      0.9546524655409228,
      0.9397485067067541,
      0.9251152387318167,
      0.9107460456767641,
      0.8966344915262795,
      0.8827743304621791,
      0.8691595107526837,
      0.8557841744325677,
      0.842642653713256,
      0.8297294665740108,
      0.8170393108736913,
      0.8045670577375149,
      0.7923077455762181,
      0.7802565732901081,
      0.7684088936488171,
      0.7567602072432925,
      0.7453061565673398,
      0.7340425197780486,
      0.7229652057182058,
      0.7120702482170002,
      0.7013538007868608,
      0.6908121321678948,
      0.6804416213644924,
      0.6702387532573546,
      0.660200114726178,
      0.6503223905305998,
      0.6406023506421041,
      0.6310368010344889,
      0.62162262890043,
      0.6123568309530708,
      0.6032365015933412,
      0.594258824216808,
      0.5854210642903228,
      0.5767205641067175,
      0.5681547383394012,
      0.5597210708185586,
      0.5514171108902822,
      0.5432404706697175,
      0.5351888226931992,
      0.5272598978832762,
      0.5194514831531796,
      0.5117614191716683,
      0.5041872263759682,
      0.4967262353037119,
      0.4893760307910449,
      0.4821343948714376,
      0.4749992564401532,
      0.46796865677581706,
      0.46104072550229064,
      0.4542136639497433,
      0.44748573381001355,
      0.44085524887217525,
      0.4343205693895378,
      0.4278800974664521,
      0.42153230412982823,
      0.41527596104495,
      0.40910996162872715,
      0.40303312423381393,
      0.3970441971092156,
      0.3911418882899388,
      0.3853248881648958,
      0.37959188407719,
      0.3739415700409433,
      0.36837265296336064,
      0.36288386565046604,
      0.3574744319135516,
      0.3521438135068816,
      0.3468912319524874,
      0.3417156459890736,
      0.33661573879335605,
      0.3315903995493018,
      0.3266386279295145,
      0.3217593809831934,
      0.31695159467209705,
      0.31221419742113016,
      0.30754611954050004,
      0.3029462989637574,
      0.2984136849292688,
      0.2939472917157569,
      0.2895462270179023,
      0.285209591775142,
      0.28093647831431084,
      0.2767259653249632,
      0.27257712602535905,
      0.26848903535991875,
      0.26446077478496854,
      0.2604914354381391,
      0.25658019379981845,
      0.25272656591598497,
      0.24893006869427584,
      0.24519008831344227,
      0.2415059286867181,
      0.2378768434502788,
      0.23430205738338328,
      0.23078078053412251,
      0.22731221780299168,
      0.22389557501319637,
      0.22053006315965476,
      0.2172149008909272,
      0.2139493164829088,
      0.2107325022413188,
      0.20756359868105398,
      0.20444178636574664,
      0.20136628806027332,
      0.19833635846671568,
      0.19535127737988325,
      0.19241034520707978,
      0.18951287941148195,
      0.18665821271913613,
      0.1838456913019947,
      0.18107467352941345,
      0.17834452948744217,
      0.17565464027256497,
      0.17300439746512072,
      0.1703932026791068,
      0.16782046734667547,
      0.16528561262235397,
      0.1627880689431005,
      0.16032727589157852,
      0.15790268203232613,
      0.15551374456760686,
      0.15315992933418301,
      0.15084071072776667,
      0.1485555713454144,
      0.14630400193011647,
      0.14408550115352928,
      0.14189957559281935,
      0.1397457395259452,
      0.13762351482561647,
      0.13553243066532988,
      0.1334720236409162,
      0.13144183749385385,
      0.1294414229773109,
      0.1274703379015309,
      0.1255281468448292,
      0.12361442108876365,
      0.1217287384779975,
      0.1198706832628513,
      0.11803984606317415,
      0.11623582389050689,
      0.11445821985986554,
      0.11270664306064834,
      0.11098070865026362,
      0.10928003764311436,
      0.10760425680753415,
      0.10595299863849243,
      0.10432590103782588,
      0.10272260750176415,
      0.10114276676738732,
      0.09958603301709525,
      0.09805206578341671,
      0.09654052952193774,
      0.09505109380522465,
      0.09358343320962784,
      0.09213722702819975,
      0.09071215966798764,
      0.08930792010413155,
      0.08792420193513362,
      0.08656070346051178,
      0.08521712744072193,
      0.08389318117178546,
      0.0825885761209603,
      0.08130302825129476,
      0.08003625766231803,
      0.07878798870677346,
      0.07755794977234287,
      0.07634587335125777,
      0.07515149595634381,
      0.07397455797483893,
      0.07281480360615006,
      0.07167198091198496,
      0.0705458416609651,
      0.06943614128536435,
      0.06834263884458223,
      0.0672650971098598,
      0.06620328223696528,
      0.06515696386401418,
      0.06412591504094226,
      0.06310991214636817,
      0.06210873485133431,
      0.0611221661462119,
      0.06014999229703881,
      0.059192002642553615,
      0.05824798963754645,
      0.05731774880006096,
      0.056401078666381485,
      0.055497780748015424,
      0.05460765941059973,
      0.053730521944839044,
      0.0528661785878913,
      0.05201444230456897,
      0.05117512876318856,
      0.05034805635987464,
      0.04953304620835532,
      0.048729922076599666,
      0.04793851025075059,
      0.04715863961213079,
      0.04639014142487355,
      0.04563284958769423,
      0.04488660041516239,
      0.0441512325650663,
      0.043426587108033605,
      0.042712507536559995,
      0.042008839433452815,
      0.041315430815726764,
      0.04063213197324046,
      0.03995879521336248,
      0.03929527515793988,
      0.03864142847947731,
      0.03799711392811907,
      0.03736219237335486,
      0.0367365266370212,
      0.0361199817955187,
      0.035512424669519135,
      0.03491372413835666,
      0.03432375091805778,
      0.03374237760735062,
      0.03316947864870264,
      0.0326049304968151,
      0.032048611270027054,
      0.031500400964791786,
      0.030960181359407424,
      0.030427835803491777,
      0.02990324938275363,
      0.02938630896005158,
      0.028876903051290558,
      0.028374921765316564,
      0.027880256781523012,
      0.027392801390786654,
      0.02691245035191957,
      0.026439100122963837,
      0.025972648602446288,
      0.02551299515623928,
      0.02506004065665553,
      0.024613687431894783,
      0.024173839214683378,
      0.02374040107097633,
      0.02331327962015491,
      0.022892382828736166,
      0.02247761984710058,
      0.022068901258461796,
      0.021666138953078583,
      0.021269246158489345,
      0.020878137285958963,
      0.02049272799304264,
      0.020112935113990007,
      0.019738676766610307,
      0.01936987233065436,
      0.0190064421955018,
      0.018648308052838937,
      0.018295392774282614,
      0.017947620280944487,
      0.017604915627126034,
      0.017267204884645178,
      0.016934415317658064,
      0.016606475065776942,
      0.016283313498587353,
      0.015964861027865134,
      0.015651048987475265,
      0.01534180970783608,
      0.015037076632304698,
      0.014736783935395341,
      0.014440866964518075,
      0.014149262030908043,
      0.013861906306374903,
      0.01357873780590941,
      0.013299695500892312,
      0.013024719270674159,
      0.012753749704830094,
      0.012486728468445143,
      0.01222359801574496,
      0.011964301714553156,
      0.011708783655859293,
      0.011456988739846439,
      0.011208862727080613,
      0.010964352158479329,
      0.01072340438098146,
      0.010485967438857267,
      0.010251990141884791,
      0.010021422182511995,
      0.009794213830450987,
      0.009570316061831619,
      0.009349680716905335,
      0.009132260196584004,
      0.008918007670094454,
      0.008706876942084588,
      0.008498822551338688,
      0.008293799713237687,
      0.008091764239376126,
      0.007892672567771883,
      0.007696481801939559,
      0.007503149606156152,
      0.0073126343636774945,
      0.007124895026241014,
      0.006939891156412136,
      0.0067575828963548305,
      0.006577930957593455,
      0.006400896657600128,
      0.006226441901692784,
      0.006054529039766775,
      0.005885121055851895,
      0.005718181448133103,
      0.005553674251058744,
      0.005391564085265152,
      0.005231816533454027,
      0.00507439920810128,
      0.004919279906437744,
      0.004766426255484881,
      0.004615805871023315,
      0.004467386701401781,
      0.004321136882518585,
      0.0041770249116619826,
      0.004035019663825816,
      0.003895090498794445,
      0.003757207095802273,
      0.003621339703963112,
      0.003487458815332564,
      0.0033555354563519152,
      0.003225540978512354,
      0.0030974470668846364,
      0.00297122604244398,
      0.0028468505691753286,
      0.0027242936481879686,
      0.0026035286388514387,
      0.0024845293452655376,
      0.002367270015206508,
      0.0022517251881055116,
      0.0021378697159719143,
      0.0020256789765894807,
      0.0019151286111065429,
      0.0018061946575166782,
      0.001698853514087005,
      0.0015930818464304694,
      0.0014888566932396582,
      0.0013861553951616521,
      0.0012849557413274748,
      0.0011852357866017009,
      0.0010869738417525123,
      0.0009901486047122006,
      0.0008947390259684043,
      0.0008007244932120662,
      0.0007080845912607566,
      0.0006167991873042872,
      0.0005268484983345498,
      0.00043821298146101933,
      0.000350873435411507,
      0.000264810950625538,
      0.00018000677130410465,
      9.644252080839951e-05,
      1.4100123164795912e-05,
      -6.703836961328497e-05,
      -0.00014699063818851609,
      -0.00022577387892251275,
      -0.00030340518966532503,
      -0.0003799013377167978,
      -0.00045527903565151164,
      -0.0005295546252412228,
      -0.0006027441924832007,
      -0.0006748636243936625,
      -0.0007459285886807204,
      -0.0008159545317152899,
      -0.0008849566436236691,
      -0.0009529497844375686,
      -0.0010199488605642816,
      -0.0010859683678500803,
      -0.001151022544120127,
      -0.001215125545793464,
      -0.0012782912680696268,
      -0.0013405334760416673,
      -0.001401865654932006,
      -0.0014623010630901937,
      -0.0015218528222719792,
      -0.0015805338355940844,
      -0.0016383569399578061,
      -0.0016953346446127477,
      -0.0017514792313175257,
      -0.0018068028025138604,
      -0.0018613174623840782,
      -0.001915035020953573,
      -0.00196796714219069,
      -0.0020201253707032444,
      -0.002071520973496054
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566750250407656,
      10.336413590524367,
      10.098071436662654,
      9.854805699965839,
      9.609096896504779,
      9.36309660351124,
      9.118683285918234,
      8.87742367319898,
      8.640545693656513,
      8.408970281745539,
      8.183326981884347,
      7.963971145345601,
      7.751013273400462,
      7.544356722002268,
      7.343737248305191,
      7.148760069369266,
      6.958949653511715,
      6.773788688597402,
      6.592749358629401,
      6.41532082741633,
      6.2410274678400395,
      6.06943032619706,
      5.900148212147817,
      5.732870465808062,
      5.567359252967508,
      5.403454179821333,
      5.241071616743198,
      5.080209393099337,
      4.920935935874304,
      4.763378142275531,
      4.6077303290652445,
      4.45425135246833,
      4.303255455800669,
      4.1551190194914,
      4.010244693500663,
      3.8690378683757576,
      3.7318906929865667,
      3.5991724130815284,
      3.471219779143383,
      3.348322549839138,
      3.2307167727070736,
      3.118581543585635,
      3.0120380340141812,
      2.9111409951790637,
      2.8158738801296916,
      2.7261547893763303,
      2.6418573249339734,
      2.5628024940322063,
      2.488758835905789,
      2.4194864505254454,
      2.354732498194052,
      2.294210663122395,
      2.237604656901575,
      2.1845718584494858,
      2.134727079193426,
      2.0877000828760908,
      2.04315181187605,
      2.000765964153722,
      1.9602635150382797,
      1.9214087273888687,
      1.8840151198250732,
      1.8479349653111312,
      1.8130462093023207,
      1.7792422839254203,
      1.746435149091354,
      1.7145540160016184,
      1.6835405214621926,
      1.65334523674675,
      1.6239254413920947,
      1.5952435326574368,
      1.567265462376105,
      1.5399579427865686,
      1.5132901571205952,
      1.4872346555565044,
      1.4617665976349412,
      1.4368632184594812,
      1.4125034455281156,
      1.3886676203417425,
      1.365338108457204,
      1.3424994807293191,
      1.32013675329548,
      1.2982352398101242,
      1.276780653724556,
      1.2557591682039773,
      1.2351574465276154,
      1.2149626546870207,
      1.1951624601482358,
      1.1757450235702844,
      1.1566989851130107,
      1.1380145906692876,
      1.1196840872351772,
      1.101700049250722,
      1.0840549620759459,
      1.0667412248711303,
      1.0497510925386053,
      1.033078349996354,
      1.0167172643381412,
      1.0006613955474275,
      0.9849039307731196,
      0.9694378996822675,
      0.9542563146773272,
      0.9393522605757706,
      0.9247189514088539,
      0.9103497641603082,
      0.8962382577452271,
      0.882378183313661,
      0.8687634869526739,
      0.8553883088937144,
      0.8422469803151611,
      0.8293340183612261,
      0.8166441201403986,
      0.8041721564056189,
      0.791913164900952,
      0.7798623438091424,
      0.7680150457301894,
      0.7563667710388199,
      0.744913161726758,
      0.7336499957897412,
      0.7225731815018996,
      0.7116787521650484,
      0.7009628609218991,
      0.6904217759098991,
      0.6800518758474754,
      0.6698496455354472,
      0.6598116713606194,
      0.6499346374990168,
      0.6402153122715645,
      0.6306504999386058,
      0.621237088245495,
      0.611972074122975,
      0.6028525518483339,
      0.59387570467597,
      0.5850387977029566,
      0.5763391729724442,
      0.5677742446396962,
      0.5593414960454203,
      0.5510384760927427,
      0.5428627966197136,
      0.5348121299946146,
      0.526884206667408,
      0.5190768129956059,
      0.5113877891807648,
      0.5038147129749703,
      0.49635492001023773,
      0.48900597344532126,
      0.4817656406636042,
      0.47463184079695364,
      0.46760260814861654,
      0.46067606749163076,
      0.45385041682268534,
      0.4471239155184703,
      0.44049487572809604,
      0.4339616562976896,
      0.427522658351473,
      0.4211763902738373,
      0.4149216777975848,
      0.4087573911483142,
      0.40268232602440013,
      0.3966952123603108,
      0.3907947458757116,
      0.3849796084590553,
      0.3792484818688202,
      0.37360005618010167,
      0.36803303558221434,
      0.3625462055901771,
      0.3571388643439471,
      0.3518104254050192,
      0.3465600790399436,
      0.34138675761659343,
      0.33628914518622965,
      0.3312661448230994,
      0.3263167387378748,
      0.32143987239728133,
      0.31663447401292594,
      0.31189946686461134,
      0.3072337777849482,
      0.30263634227102587,
      0.2981061079126188,
      0.2936421021500255,
      0.2892434327463026,
      0.28490919647295215,
      0.2806384818873701,
      0.27643036424138934,
      0.27228391435684884,
      0.26819820576125325,
      0.2641723189188454,
      0.2602053439997573,
      0.2562964691501623,
      0.25244522720412826,
      0.24865112424103453,
      0.24491353938487978,
      0.24123177179794647,
      0.23760507184852817,
      0.23403266204598305,
      0.23051375111845387,
      0.22704754285163886,
      0.22363324231915255,
      0.22027005998691904,
      0.21695721429369505,
      0.21369393316414045,
      0.2104794032314642,
      0.20731276456574724,
      0.20419319987522044,
      0.20111993309220938,
      0.19809221981228717,
      0.1951093404643757,
      0.19217059585762278,
      0.1892753037777603,
      0.18642279701636597,
      0.18361242179478443,
      0.18084353664213312,
      0.1781155116979978,
      0.1754277280436288,
      0.17277957716189707,
      0.17017046073389208,
      0.167599790327579,
      0.1650669869137292,
      0.16257148091418167,
      0.16011271193739568,
      0.15769012853754952,
      0.15530318796523732,
      0.15295135611279526,
      0.15063410734949287,
      0.1483509242012489,
      0.14610129738995284,
      0.1438847256918687,
      0.14170071565334766,
      0.13954878148752625,
      0.13742844505030424,
      0.13533923564742975,
      0.13328068981257757,
      0.13125235129754417,
      0.1292537710009749,
      0.12728450668358882,
      0.12534412288204716,
      0.1234321908433649,
      0.12154828840364322,
      0.11969200004008165,
      0.11786291637732953,
      0.11606063443212752,
      0.11428475729917521,
      0.11253489423182093,
      0.11081066038604172,
      0.10911167668545074,
      0.10743756999118567,
      0.1057879727502349,
      0.104162522987155,
      0.10256086419281295,
      0.10098264527570505,
      0.09942752043622657,
      0.09789514910316305,
      0.09638519577964356,
      0.09489733010329558,
      0.09343122673309208,
      0.0919865651771919,
      0.09056302974537671,
      0.08916030937800097,
      0.08777809775819446,
      0.08641609328148599,
      0.08507399875242252,
      0.08375152146233983,
      0.08244837306040179,
      0.08116426948104252,
      0.07989893091205703,
      0.07865208175874103,
      0.07742345051808204,
      0.07621276969616192,
      0.07501977583203331,
      0.07384420937385905,
      0.07268581458818431,
      0.07154433959765294,
      0.07041953627653003,
      0.06931116008358609,
      0.06821897022936041,
      0.06714272945615743,
      0.06608220395825748,
      0.06503716353721126,
      0.06400738127446115,
      0.06299263364526421,
      0.0619927003523076,
      0.061007364381410266,
      0.06003641202773798,
      0.05907963268319039,
      0.05813681887376955,
      0.057207766295872334,
      0.05629227353974594,
      0.05539014217407329,
      0.054501176640809355,
      0.05362518432632514,
      0.052761975481416944,
      0.05191136312648847,
      0.051073162967228414,
      0.050247193482566406,
      0.049433275898908204,
      0.04863123401903703,
      0.04784089419744734,
      0.047062085411030866,
      0.04629463903469048,
      0.04553838896611535,
      0.044793171597827953,
      0.044058825801994106,
      0.0433351926638878,
      0.0426221156691289,
      0.04191944059751292,
      0.04122701546102906,
      0.0405446904404999,
      0.03987231807570799,
      0.03920975299340997,
      0.03855685188222528,
      0.03791347372986501,
      0.03727947939435367,
      0.036654731873426785,
      0.03603909616170572,
      0.035432439172927786,
      0.034834629783923966,
      0.03424553884512638,
      0.03366503919519507,
      0.03309300538124327,
      0.03252931379593071,
      0.03197384260539433,
      0.031426471846170936,
      0.030887083249415664,
      0.030355560348487947,
      0.029831788278552197,
      0.029315653893961697,
      0.02880704585441414,
      0.02830585426600219,
      0.027811970881786732,
      0.02732528911748112,
      0.026845703933862985,
      0.026373111737713284,
      0.02590741055581986,
      0.025448499776029254,
      0.024996280383523164,
      0.02455065471346848,
      0.02411152659698201,
      0.023678801201202016,
      0.0232523851097504,
      0.0228321862944002,
      0.022418114091987306,
      0.022010079085031754,
      0.021607993233514616,
      0.021211769810007573,
      0.02082132328779563,
      0.02043656941604515,
      0.02005742516351601,
      0.019683808660519747,
      0.01931563919656336,
      0.01895283742567045,
      0.01859532509998295,
      0.018243025075143325,
      0.01789586127511828,
      0.017553758833207048,
      0.017216643925706,
      0.016884443756356733,
      0.016557086779894814,
      0.016234502345399526,
      0.015916620807349735,
      0.015603373564317624,
      0.015294693076578174,
      0.014990512677322675,
      0.014690766763312395,
      0.014395390683869377,
      0.0141043207417964,
      0.013817494140914151,
      0.01353484904527868,
      0.013256324438400347,
      0.012981860246589153,
      0.012711397313352782,
      0.012444877230828934,
      0.012182242556374203,
      0.01192343664438408,
      0.011668403582975922,
      0.011417088464709364,
      0.01116943712670466,
      0.010925396039897358,
      0.010684912538091606,
      0.010447934795809601,
      0.01021441171396293,
      0.009984292923032274,
      0.009757528789067353,
      0.009534070371568665,
      0.00931386942881754,
      0.009096878565678966,
      0.008883050971112647,
      0.008672340546582134,
      0.008464701858569732,
      0.008260090036669145,
      0.008058461010933108,
      0.007859771300941532,
      0.007663978035904603,
      0.007471038977428608,
      0.007280912468080778,
      0.007093557547995575,
      0.006908933819336033,
      0.0067270015424404144,
      0.00654772137166974,
      0.006371054639996013,
      0.006196963328013947,
      0.006025409870206966,
      0.005856357223770858,
      0.005689768888692255,
      0.005525608980854976,
      0.005363842116545686,
      0.005204433356243593,
      0.0050473497148489374,
      0.004892559345471233,
      0.004740030250283019,
      0.004589730377756928,
      0.004441627751202354,
      0.0042956907886074576,
      0.004151888025868647,
      0.004010188375150488,
      0.003870561308066865,
      0.0037329766277106385,
      0.003597404375493313,
      0.003463815273467095,
      0.0033321803484461067,
      0.0032024710411293015,
      0.003074659087407349,
      0.0029487167831279432,
      0.0028246167351660962,
      0.00270233215426313,
      0.0025818365084270007,
      0.0024631034251511143,
      0.002346107192361967,
      0.00223082244087071,
      0.002117224102272337,
      0.002005287488692288,
      0.0018949882404243363,
      0.001786302471715565,
      0.0016792066073456876,
      0.0015736773662450296,
      0.0014696918673875554,
      0.0013672274953878771,
      0.0012662619707700044,
      0.0011667734852196137,
      0.0010687404058579743,
      0.0009721413559609729,
      0.000876955334303709,
      0.0007831617665022384,
      0.0006907402715933265,
      0.0005996707218561014,
      0.000509933348348526,
      0.00042150858690010145,
      0.00033437724950468906,
      0.0002485205442689297,
      0.00016391980441560216,
      8.055666336054079e-05,
      -1.5869922408580893e-06,
      -8.252909990529894e-05,
      -0.0001622870844579761,
      -0.00024087830195789874,
      -0.00031831989781953173,
      -0.00039462865783541044,
      -0.0004698211886562889,
      -0.0005439137475341233,
      -0.0006169224143535321,
      -0.000688863052898643,
      -0.0007597513032378542,
      -0.0008296025922582147,
      -0.0008984321050560772,
      -0.0009662548827952259,
      -0.0010330855318835697,
      -0.0010989385422150524,
      -0.001163828261209157,
      -0.0012277687275335765,
      -0.0012907739236434875,
      -0.0013528574040387639,
      -0.0014140327050213449,
      -0.0014743130606705017,
      -0.0015337115438748587,
      -0.0015922410666409344,
      -0.0016499143544389024,
      -0.001706744104428169,
      -0.0017627426090754382,
      -0.001817921963426955,
      -0.0018722941317147182,
      -0.0019258709242899609,
      -0.0019786639549810923,
      -0.002030684731196766,
      -0.002081944540116999
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566747552043397,
      10.336400393080572,
      10.09804087415118,
      9.854752822424404,
      9.609017747487762,
      9.36298835490374,
      9.118544178501992,
      8.877253183740512,
      8.640344070713406,
      8.40873806304702,
      8.183064833739747,
      7.963679763440027,
      7.75069328883619,
      7.544008639096183,
      7.343361188874344,
      7.1483559716926806,
      6.958517419867188,
      6.773328212825134,
      6.5922605644604015,
      6.414803794472583,
      6.240482546353895,
      6.06885807561156,
      5.8995493508698456,
      5.732245948607039,
      5.566710333472682,
      5.402782394056443,
      5.240378815596119,
      5.079497777511833,
      4.920207985553455,
      4.762636509021196,
      4.606978039074443,
      4.453491702652456,
      4.302492492859647,
      4.1543571535626045,
      4.009488307880667,
      3.868291205573908,
      3.7311577754098484,
      3.5984571148191167,
      3.4705256522080035,
      3.3476526904278314,
      3.2300737876303205,
      3.117967531473814,
      3.0114545837981095,
      2.9105890345001746,
      2.815353599950313,
      2.7256656547529206,
      2.6413983918779,
      2.5623720654096873,
      2.4883547907442414,
      2.41910657259157,
      2.354374460303369,
      2.2938719189161163,
      2.237282475616139,
      2.1842630542190977,
      2.13442853209514,
      2.087408945111564,
      2.042865446573973,
      2.0004820276091553,
      1.9599801281488713,
      1.921124486870672,
      1.8837290076197886,
      1.8476462321978824,
      1.8127543099667853,
      1.7789468295017288,
      1.7461358786983594,
      1.7142507538574765,
      1.6832331698180467,
      1.6530337533817954,
      1.6236098234344425,
      1.5949238042200535,
      1.5669416787435064,
      1.5396301896486735,
      1.5129585188205896,
      1.4868992159345635,
      1.46142744020225,
      1.4365204259518034,
      1.4121570995996742,
      1.3883178016002007,
      1.3649849391078592,
      1.3421430862038397,
      1.319777242646797,
      1.2978727100893217,
      1.276415193412303,
      1.2553908593887417,
      1.2347863667441936,
      1.2145888775992097,
      1.1947860570580577,
      1.1753660636161845,
      1.1563175356309554,
      1.1376308647864897,
      1.11929833592485,
      1.1013124771629859,
      1.0836657359646047,
      1.0663504748051853,
      1.0493590423156811,
      1.0326853722880844,
      1.0163236195856669,
      1.000267270127326,
      0.9845094607233376,
      0.9690431872651566,
      0.9538614394827651,
      0.9389572871141437,
      0.9243239338172733,
      0.909954749504815,
      0.8958432887392792,
      0.8819832992363308,
      0.8683687246514806,
      0.8549937034153944,
      0.8418525656240218,
      0.8289398275360095,
      0.8162501855590815,
      0.8037785096133473,
      0.7915198371276995,
      0.7794693660697667,
      0.7676224485074674,
      0.7559745841849467,
      0.7445214146592857,
      0.7332587175245703,
      0.7221824007019857,
      0.711288497153245,
      0.700573159685445,
      0.6900326561204332,
      0.6796633646176565,
      0.6694617694965233,
      0.6594244569092901,
      0.649548110755098,
      0.6398294979855246,
      0.6302654208182397,
      0.6208527674506528,
      0.6115885348783443,
      0.6024698173300848,
      0.5934937979672669,
      0.5846577416411283,
      0.5759589900650143,
      0.567394957201854,
      0.5589631257202027,
      0.5506610442790316,
      0.54248632435933,
      0.5344366376737764,
      0.5265097141941552,
      0.5187033398176343,
      0.5110153543720869,
      0.5034433929411828,
      0.49598479606406487,
      0.4886371057462903,
      0.4813980745836322,
      0.47426561165509934,
      0.46723774437985494,
      0.46031259287203935,
      0.45348835173290575,
      0.4467632779364352,
      0.4401356818782385,
      0.43360392113748375,
      0.4271663958455909,
      0.4208216689634408,
      0.414568600353542,
      0.40840603745190485,
      0.4023327508400114,
      0.3963474536519314,
      0.39044883023430355,
      0.3846355548326655,
      0.378906303913085,
      0.3732597641030031,
      0.3676946371335457,
      0.3622097612323316,
      0.3568045089456631,
      0.351478245719016,
      0.3462301301046898,
      0.3410590687574615,
      0.3359637466877759,
      0.33094308066485406,
      0.32599603571228125,
      0.32112154568378043,
      0.3163185310739246,
      0.3115859099618573,
      0.30692260550686823,
      0.3023275507640826,
      0.297799691846264,
      0.2933380691072126,
      0.28894179072712073,
      0.2846099491498238,
      0.28034162902859017,
      0.2761359022581256,
      0.27199183747145267,
      0.2679085064016801,
      0.26388498838413704,
      0.2599203730938741,
      0.25601386038265045,
      0.2521649994547603,
      0.24837328582927487,
      0.2446380916141207,
      0.24095871111941597,
      0.23733439149623725,
      0.2337643531111796,
      0.23024780313056034,
      0.22678394436471427,
      0.2233719811875691,
      0.22001112363701728,
      0.21670058973783105,
      0.21343960721554414,
      0.21022735694122366,
      0.2070629784759678,
      0.20394565656993782,
      0.20087461658858496,
      0.19784911496849622,
      0.19486843277170396,
      0.1919318710553399,
      0.1890387480153661,
      0.18618839653249977,
      0.18338016288847198,
      0.18061340578320165,
      0.17788749524272324,
      0.17520181234361237,
      0.1725557487291669,
      0.1699487060943959,
      0.16738009584195038,
      0.16484933908020713,
      0.16235586633427151,
      0.15989911709013702,
      0.15747853991554875,
      0.1550935920763213,
      0.15274373934766286,
      0.15042845601986204,
      0.14814722478733552,
      0.1458995363424729,
      0.14368488941806143,
      0.14150279056580914,
      0.13935275413549789,
      0.137234301970842,
      0.13514696329895465,
      0.13309027466019305,
      0.13106377980261982,
      0.12906702959758828,
      0.1270995818371823,
      0.12516100112232323,
      0.12325085878429203,
      0.1213687327700638,
      0.11951420742047489,
      0.11768687345960915,
      0.11588632783845697,
      0.1141121737510866,
      0.11236402051815725,
      0.11064148327374682,
      0.10894418306540646,
      0.1072717466360537,
      0.10562380645344314,
      0.10400000062521833,
      0.10239997269874855,
      0.10082337168250079,
      0.0992698517805086,
      0.09773907252598242,
      0.09623069844268436,
      0.0947443991877849,
      0.09327984953417807,
      0.09183672893124147,
      0.09041472173053434,
      0.08901351693833202,
      0.08763280836619042,
      0.08627229438447553,
      0.08493167787655277,
      0.08361066622755525,
      0.08230897108744462,
      0.0810263085146886,
      0.07976239869987559,
      0.07851696605372817,
      0.07728973916708891,
      0.07608045062979106,
      0.0748888369722661,
      0.07371463872614883,
      0.07255760026998548,
      0.07141746965087131,
      0.07029399889010184,
      0.06918694353661886,
      0.06809606280588047,
      0.06702111951559879,
      0.06596188005396171,
      0.0649181141856803,
      0.06388959495027752,
      0.06287609885513325,
      0.06187740583341072,
      0.060893299046061916,
      0.05992356479407089,
      0.05896799257314188,
      0.058026374914148714,
      0.05709850748294859,
      0.05618418901385693,
      0.05528322099988799,
      0.054395407978799194,
      0.05352055749630859,
      0.052658479902620334,
      0.05180898821345322,
      0.050971898343803675,
      0.050147028827556894,
      0.049334200868385,
      0.048533238286154155,
      0.04774396753986501,
      0.046966217605057974,
      0.04619982002578581,
      0.04544460880777975,
      0.04470042045476714,
      0.043967093705464734,
      0.04324446977854782,
      0.04253239225813845,
      0.04183070703605857,
      0.04113926220530437,
      0.04045790800688961,
      0.03978649700713692,
      0.03912488399142348,
      0.038472925809088704,
      0.03783048134725285,
      0.03719741156325618,
      0.036573579496198196,
      0.03595885017540313,
      0.03535309066681288,
      0.03475616993307232,
      0.03416795888586939,
      0.03358833025737604,
      0.03301715872403946,
      0.03245432074534228,
      0.031899694533185044,
      0.03135316026669696,
      0.03081459983110399,
      0.03028389674142214,
      0.029760936336600693,
      0.029245605528485073,
      0.028737792926423762,
      0.028237388668877067,
      0.027744284713262707,
      0.02725837448350785,
      0.026779552962225985,
      0.0263077166238381,
      0.025842763506698355,
      0.025384593037142855,
      0.0249331063231507,
      0.024488205830945776,
      0.024049795391760748,
      0.02361778027070921,
      0.02319206708863232,
      0.022772563914902382,
      0.022359180180885747,
      0.021951826554783695,
      0.021550415036999483,
      0.021154858889185908,
      0.020765072650983166,
      0.020380972040677275,
      0.02000247419776417,
      0.019629497364698573,
      0.019261960954751755,
      0.018899785567164745,
      0.01854289303233915,
      0.018191206251942496,
      0.017844649170449863,
      0.017503147036888544,
      0.017166626016498147,
      0.01683501346135707,
      0.016508237771735632,
      0.016186228446446366,
      0.015868915851020383,
      0.015556231479163461,
      0.015248107798783632,
      0.01494447827348999,
      0.014645277298826868,
      0.01435044031419149,
      0.014059903708739769,
      0.01377360476281102,
      0.013491481631027149,
      0.013213473322423215,
      0.012939519823918081,
      0.012669561998531918,
      0.012403541550709394,
      0.012141401007567344,
      0.01188308383708582,
      0.011628534347200632,
      0.01137769747375973,
      0.011130519105286408,
      0.010886945869810262,
      0.010646925141975783,
      0.010410405029724169,
      0.01017733456994456,
      0.009947663433116889,
      0.009721342043915,
      0.009498321507611514,
      0.009278553768220198,
      0.009061991286119175,
      0.008848587277969661,
      0.008638295743116538,
      0.008431071301962616,
      0.00822686918340241,
      0.008025645329187911,
      0.00782735633536774,
      0.0076319593202224985,
      0.0074394120041159995,
      0.007249672829835585,
      0.007062700939313336,
      0.006878455956119795,
      0.006696898177188288,
      0.006517988283006053,
      0.006341687698769089,
      0.00616795843654479,
      0.005996762888989079,
      0.0058280641207165695,
      0.005661825805936273,
      0.005498012003305055,
      0.005336587358334746,
      0.005177516983690838,
      0.005020766837310213,
      0.004866304899417617,
      0.0047140996917861945,
      0.004564119473836422,
      0.004416332563217348,
      0.004270707376878318,
      0.004127212701512563,
      0.003985817640965996,
      0.0038464915839526515,
      0.0037092043765992572,
      0.003573926242196202,
      0.003440627867864268,
      0.003309280276849575,
      0.003179854981849948,
      0.003052323828679943,
      0.0029266591721842654,
      0.0028028336655904957,
      0.0026808202997593063,
      0.002560592570701117,
      0.0024421244070508166,
      0.002325390068089438,
      0.0022103641505155473,
      0.002097021660742655,
      0.001985337916614484,
      0.0018752887304795474,
      0.0017668501741776317,
      0.0016599986697553063,
      0.0015547110304472683,
      0.0014509642740884196,
      0.0013487358957057314,
      0.0012480036517497225,
      0.0011487456700336053,
      0.0010509403448491518,
      0.0009545664748149205,
      0.0008596030204255057,
      0.0007660293714300893,
      0.0006738252279326487,
      0.0005829705012511149,
      0.0004934455279959204,
      0.00040523075730875506,
      0.0003183070495099401,
      0.00023265553731559253,
      0.0001482575708548378,
      6.509481613216349e-05,
      -1.6850791328074848e-05,
      -9.759711118350683e-05,
      -0.00017716158203847054,
      -0.00025556165263082673,
      -0.00033281437951745627,
      -0.00040893646205449323,
      -0.00048394450565592955,
      -0.0005578547493509246,
      -0.0006306833205639859,
      -0.0007024460312587105,
      -0.0007731584208112508,
      -0.0008428359126582575,
      -0.0009114936902211811,
      -0.0009791466865459288,
      -0.0010458095667204629,
      -0.0011114968489339982,
      -0.0011762228342685006,
      -0.0012400015356276734,
      -0.0013028468345913688,
      -0.0013647723322439075,
      -0.0014257915363468665,
      -0.0014859176151288886,
      -0.001545163684549263,
      -0.00160354263705392,
      -0.0016610672240626393,
      -0.0017177499534071063,
      -0.0017736031509647053,
      -0.0018286389710897336,
      -0.00188286938697553,
      -0.0019363061550281317,
      -0.001988960746360707,
      -0.002040844671913038,
      -0.002091969228572051
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566744863546491,
      10.336387392044387,
      10.09801080640543,
      9.854700706443328,
      9.608939599553157,
      9.362881322705634,
      9.118406480805394,
      8.877084278752708,
      8.640144191441108,
      8.408507731876503,
      8.182804700522603,
      7.963390508109192,
      7.750375534858095,
      7.543662884993406,
      7.342987550230326,
      7.147954385016149,
      6.958087786233363,
      6.772870426826896,
      6.591774550518145,
      6.414289632986148,
      6.2399405902500895,
      6.068288885554575,
      5.898953646411803,
      5.731624684445224,
      5.566064762114212,
      5.402114049107415,
      5.239689544140806,
      5.078789776297175,
      4.919483729044497,
      4.76189864252052,
      4.606229580769429,
      4.452735939891375,
      4.301733461562013,
      4.153599250755621,
      4.008735900492087,
      3.867548519099428,
      3.730428816572985,
      3.597745742939182,
      3.469835404244843,
      3.3469866478941688,
      3.229434543163654,
      3.1173571711829924,
      3.0108746855292865,
      2.910040518224837,
      2.8148366491153096,
      2.725179729440227,
      2.6409425449555886,
      2.561944598643801,
      2.487953584432944,
      2.418729412862722,
      2.3540190245401362,
      2.2935356672829967,
      2.236962684308181,
      2.183956542597329,
      2.134132188100531,
      2.0871199329051375,
      2.042581129730281,
      2.0002000687863593,
      1.9596986622440968,
      1.9208421211036453,
      1.8834447320953496,
      1.847359303588498,
      1.81246418782927,
      1.7786531289771197,
      1.7458383421844612,
      1.7139492081095822,
      1.6829275188710404,
      1.6527239560353253,
      1.6232958771158168,
      1.5946057338329338,
      1.5666195406434977,
      1.5393040700562701,
      1.5126285033848708,
      1.486565388994032,
      1.4610898854108987,
      1.4361792260813486,
      1.4118123365839548,
      1.3879695564632448,
      1.3646333343490362,
      1.3417882478796088,
      1.3194192793881159,
      1.297511718846924,
      1.2760512628327292,
      1.2550240718868981,
      1.234416800083356,
      1.2142166062315733,
      1.1944111525116385,
      1.1749885949949348,
      1.1559376251073108,
      1.1372487534468763,
      1.1189142469182776,
      1.1009265960472119,
      1.0832782164572874,
      1.0659614381923648,
      1.0489687062709485,
      1.032294105954803,
      1.0159316807841625,
      0.9998748432077657,
      0.9841166808447042,
      0.9686501562922437,
      0.9534682366269676,
      0.9385639765736937,
      0.923930569479694,
      0.9095613786526819,
      0.8954499536467427,
      0.8815900388978325,
      0.8679755759334409,
      0.8546007016842199,
      0.8414597448521305,
      0.8285472209032686,
      0.8158578255843195,
      0.8033864284785979,
      0.7911280662280792,
      0.7790779363156775,
      0.7672313903359202,
      0.7555839277386974,
      0.7441311898289441,
      0.7328689539808448,
      0.7217931275119834,
      0.7108997428444193,
      0.7001849523245611,
      0.6896450234085393,
      0.6792763338743356,
      0.6690753678132729,
      0.6590387107087784,
      0.6491630460789288,
      0.6394451395015563,
      0.6298817916549356,
      0.6204698907498989,
      0.6112064340183796,
      0.6020885156836031,
      0.5931133183733109,
      0.5842781069117041,
      0.5755802226199361,
      0.5670170792814876,
      0.5585861592353835,
      0.5502850104499026,
      0.5421112439312485,
      0.5340625310244587,
      0.5261366013828239,
      0.5183312405260245,
      0.5106442877369269,
      0.503073435386049,
      0.49561602933222404,
      0.4882695899500356,
      0.4810318552823072,
      0.4739007241820497,
      0.4668742171891666,
      0.4599504496866574,
      0.4531276129088725,
      0.44640396140384353,
      0.4397778039429413,
      0.43324749663580003,
      0.4268114386211372,
      0.42046826504948864,
      0.414216847522548,
      0.40805601070923053,
      0.4019845018559557,
      0.39600101840450835,
      0.3901042341748271,
      0.3842928162294738,
      0.3785654359704387,
      0.3729207766255732,
      0.3673575375388795,
      0.36187461967290907,
      0.3564714561864219,
      0.35114736582455924,
      0.34590147676413213,
      0.34073267005882873,
      0.33563963565459426,
      0.33062129963952075,
      0.3256766101776244,
      0.3208044902129053,
      0.3160038526766472,
      0.31127361048430097,
      0.30661268346229903,
      0.30202000233453113,
      0.297494515026049,
      0.29303527327471374,
      0.2886413821940921,
      0.28431193041712177,
      0.2800459989250357,
      0.27584265663669627,
      0.27170097006955124,
      0.26762000964078003,
      0.26359885366575697,
      0.2596365910645359,
      0.2557324404266972,
      0.2518859578252007,
      0.24809662922295408,
      0.2443638201473869,
      0.24068682053810692,
      0.2370648746298341,
      0.2334972007670388,
      0.22998300464855295,
      0.22652148807514644,
      0.22311185487669366,
      0.21975331458928454,
      0.21644508499112003,
      0.21318639355929225,
      0.20997641564603975,
      0.20681429021646616,
      0.20369920392506888,
      0.2006303835599331,
      0.19760708643897956,
      0.19462859424649834,
      0.19169420842949553,
      0.18880324732923162,
      0.18595504408281968,
      0.1831489451104138,
      0.18038430910671727,
      0.1776605062787879,
      0.17497691767585902,
      0.1723329347746777,
      0.16972795927440618,
      0.1671614027647962,
      0.164632686266257,
      0.16214124014959574,
      0.15968650402272383,
      0.15726792639912276,
      0.1548849645045858,
      0.15253708418314446,
      0.15022375978139796,
      0.14794447384645404,
      0.14569871723389863,
      0.14348598871783416,
      0.14130579475630353,
      0.13915764959049629,
      0.13704107511128494,
      0.13495560059590517,
      0.13290076265658488,
      0.13087610516035966,
      0.12888117892832102,
      0.12691554172347774,
      0.12497875822726609,
      0.12307039975766626,
      0.12119004417924006,
      0.1193372758972866,
      0.1175116856623584,
      0.11571287061118538,
      0.11394043390145848,
      0.11219398474751542,
      0.1104731383166196,
      0.10877751575227718,
      0.10710674389909944,
      0.10546045528801343,
      0.10383828801934727,
      0.10223988568972545,
      0.10066489721620413,
      0.09911297691365735,
      0.09758378432945662,
      0.09607698412763437,
      0.09459224593309339,
      0.09312924447251462,
      0.0916876593701379,
      0.09026717498588674,
      0.08886748047331411,
      0.08748826970775246,
      0.08612924104000727,
      0.08479009733296748,
      0.08347054599173823,
      0.0821702988376123,
      0.08088907197572852,
      0.07962658566518742,
      0.07838256440384925,
      0.0771567368504227,
      0.07594883558635883,
      0.07475859717485456,
      0.07358576220545453,
      0.07243007514330949,
      0.07129128422107046,
      0.07016914137286318,
      0.06906340221355207,
      0.06797382604740562,
      0.06690017577228727,
      0.06584221773367278,
      0.06479972176569157,
      0.06377246116604861,
      0.06276021259743692,
      0.06176275581365409,
      0.0607798739317238,
      0.05981135342986426,
      0.05885698392251643,
      0.05791655806514213,
      0.056989871520840195,
      0.05607672300819762,
      0.05517691422044468,
      0.05429024984828226,
      0.05341653738469688,
      0.05255558720731693,
      0.05170721246190923,
      0.05087122902925409,
      0.0500474554196344,
      0.049235713065487755,
      0.04843582586122594,
      0.04764762033310581,
      0.04687092565327461,
      0.046105573279097235,
      0.04535139727869252,
      0.04460823426873584,
      0.043875923091541695,
      0.04315430496482947,
      0.042443223532724735,
      0.0417425247698472,
      0.04105205685937849,
      0.04037167014640807,
      0.039701217242748464,
      0.03904055293646793,
      0.03838953419283387,
      0.03774801998533375,
      0.03711587130924797,
      0.036492951244334576,
      0.03587912494617212,
      0.03527425959120337,
      0.034678224183294915,
      0.034090889599383875,
      0.03351212871264149,
      0.03294181625257142,
      0.03237982875827294,
      0.03182604468831345,
      0.031280344156149616,
      0.030742609158626272,
      0.030212723232802788,
      0.029690571624587308,
      0.0291760413875238,
      0.028669021208704255,
      0.028169401349121378,
      0.027677073780941912,
      0.02719193208972191,
      0.026713871268328415,
      0.02624278786621895,
      0.025778580068352507,
      0.02532114732880883,
      0.024870390645570856,
      0.024426212662963513,
      0.023988517246188702,
      0.02355720976706011,
      0.023132197019725277,
      0.022713387027776796,
      0.022300689231421554,
      0.021894014247225375,
      0.02149327421187626,
      0.02109838249543305,
      0.020709253699123246,
      0.020325803753701098,
      0.019947949723757727,
      0.019575609909029568,
      0.01920870378537405,
      0.018847152134638563,
      0.018490876753283016,
      0.018139800597813144,
      0.017793847718345055,
      0.01745294337439173,
      0.01711701391387052,
      0.01678598663054809,
      0.01645979000109937,
      0.01613835348734588,
      0.015821607705054114,
      0.015509484062856667,
      0.015201915104263943,
      0.014898834370427999,
      0.01460017629851943,
      0.014305876410077191,
      0.014015871109161929,
      0.013730097623718601,
      0.013448494300361356,
      0.013171000222389486,
      0.012897555467413715,
      0.012628100834019045,
      0.012362578093112456,
      0.012100929994890113,
      0.011843099840784074,
      0.011589031916444026,
      0.011338671304792504,
      0.011091963982419968,
      0.01084885661410826,
      0.010609296661571127,
      0.010373232349243778,
      0.01014061270913715,
      0.009911387521039039,
      0.009685507191565006,
      0.009462922852504363,
      0.009243586334243485,
      0.009027450333185461,
      0.008814468156086665,
      0.008604593804145133,
      0.008397781855961017,
      0.008193987664828048,
      0.0079931671324868,
      0.007795276886099274,
      0.007600274235154992,
      0.007408116985005927,
      0.0072187636274822385,
      0.007032173190528199,
      0.006848305357674568,
      0.006667120481314884,
      0.006488579331789268,
      0.006312643445967748,
      0.006139274772701906,
      0.0059684358034372605,
      0.005800089685843358,
      0.005634200015449429,
      0.005470730877394189,
      0.0053096469598083096,
      0.005150913491562943,
      0.004994496118616397,
      0.004840361952021203,
      0.004688479731718765,
      0.004538818094427407,
      0.00439134559064124,
      0.004246030961913463,
      0.004102843043609627,
      0.0039617511260782385,
      0.003822724738489927,
      0.003685733783873688,
      0.003550748446279617,
      0.003417739391900811,
      0.0032866777619244988,
      0.003157535104073837,
      0.0030302833560141213,
      0.0029048949322768476,
      0.002781342565210362,
      0.002659599255574075,
      0.002539638529098902,
      0.0024214342368346375,
      0.0023049607769851017,
      0.0021901927845413218,
      0.0020771052543588167,
      0.0019656735128009656,
      0.0018558734138392275,
      0.0017476811293824098,
      0.0016410729668589912,
      0.0015360258233526542,
      0.001432516802211057,
      0.0013305233521906678,
      0.001230023286962459,
      0.0011309947616489696,
      0.0010334162762966385,
      0.0009372666357704875,
      0.000842524841262471,
      0.0007491703195536851,
      0.0006571827404070445,
      0.0005665421020130543,
      0.0004772287927089908,
      0.00038922317659141,
      0.0003025060954486768,
      0.00021705873630476288,
      0.00013286246197361093,
      4.989895424247295e-05,
      -3.184969247248041e-05,
      -0.00011240132787877349,
      -0.00019177353589309857,
      -0.00026998356387640423,
      -0.00034704844101037744,
      -0.0004229848926771375,
      -0.0004978094187586917,
      -0.0005715383328939701,
      -0.0006441876803144764,
      -0.0007157732881782741,
      -0.000786310725809664,
      -0.0008558152831523187,
      -0.0009243021008551063,
      -0.0009917860705531939,
      -0.0010582819443004908,
      -0.001123804246157732,
      -0.0011883671446951388,
      -0.0012519846422303475,
      -0.001314670744502423,
      -0.0013764390000629107,
      -0.0014373028400363488,
      -0.0014972754842698577,
      -0.001556369967903731,
      -0.0016145991544618255,
      -0.0016719757545138197,
      -0.001728512146430268,
      -0.0017842207049466581,
      -0.0018391136272326077,
      -0.0018932027452782138,
      -0.0019464998968619005,
      -0.0019990166855946173,
      -0.002050764437659898,
      -0.002101754405143404
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566742186951439,
      10.336374522713324,
      10.097981063164806,
      9.854649104626054,
      9.608862145983139,
      9.3627751527754,
      9.118269803257213,
      8.876916540532036,
      8.6399456146509,
      8.408278829866669,
      8.182546115312249,
      7.963102914490545,
      7.750059550012399,
      7.543319002259866,
      7.342615881830977,
      7.147554862826895,
      6.957660310250107,
      6.772414889907603,
      6.591290877403014,
      6.4137779040862695,
      6.239401157729054,
      6.067722311606415,
      5.898360650996271,
      5.731006222386464,
      5.565422085469556,
      5.401448691933112,
      5.2390033526896245,
      5.078084943889187,
      4.91876272521666,
      4.761164105591121,
      4.605484519477116,
      4.451983631558252,
      4.300977929491525,
      4.152844877169451,
      4.007987038549302,
      3.866809381199035,
      3.729703393559724,
      3.5970378774650373,
      3.4691486177455517,
      3.346324008124451,
      3.2287986299658336,
      3.116750059332815,
      3.010297942657165,
      2.909495059649151,
      2.8143226518406554,
      2.7246966488575297,
      2.6404894310869866,
      2.5615197537330863,
      2.487554889850415,
      2.4183546546926906,
      2.3536658827991834,
      2.2932016075488337,
      2.2366449904842174,
      2.183652042690113,
      2.1338377795783567,
      2.0868327886891307,
      2.042298621861693,
      1.9999198687853266,
      1.9594189123017476,
      1.9205614346008182,
      1.883162104186947,
      1.8470739954215094,
      1.8121756621018987,
      1.7783610035378532,
      1.74554236586159,
      1.7136492106770944,
      1.6826234033485838,
      1.6524156807447854,
      1.6229834398932226,
      1.5942891601578415,
      1.5662988869465089,
      1.5389794231936325,
      1.5122999490770621,
      1.486233012250624,
      1.4607537697777322,
      1.435839454556383,
      1.4114689910459992,
      1.3876227176457334,
      1.3642831253391048,
      1.3414347946694127,
      1.3190626915662913,
      1.297152094272119,
      1.2756886907521907,
      1.2546586350562778,
      1.2340485761909417,
      1.2138456691839232,
      1.1940375736812858,
      1.1746124440728365,
      1.1555590464972767,
      1.1368679979646241,
      1.1185315267126665,
      1.100542089345807,
      1.082892072541903,
      1.0655737752212964,
      1.0485797396830965,
      1.0319042028332823,
      1.0155410978723232,
      0.9994837642489547,
      0.9837252401450076,
      0.9682584552743777,
      0.9530763545189437,
      0.9381719774358019,
      0.9235385072091602,
      0.9091693002290825,
      0.8950579013359479,
      0.8811980519783592,
      0.8675836914391398,
      0.8542089550309279,
      0.8410681705010863,
      0.8281558523001563,
      0.8154666952899406,
      0.8029955684907231,
      0.7907375080892247,
      0.7786877109555908,
      0.7668415284377217,
      0.7551944596877181,
      0.7437421453468815,
      0.7324803622581287,
      0.7214050176856026,
      0.7105121435516852,
      0.6997978918578884,
      0.6892585295296887,
      0.6788904341028199,
      0.6686900890442927,
      0.6586540794834704,
      0.6487790883115762,
      0.6390618796122016,
      0.6294992523255747,
      0.6200880952637707,
      0.6108254056929093,
      0.6017082778567132,
      0.5927338944337557,
      0.5838995197123751,
      0.5752024947991909,
      0.566640232966685,
      0.5582102161199314,
      0.5499099920415798,
      0.5417371712340883,
      0.5336894245950301,
      0.5257644812519304,
      0.5179601261641447,
      0.5102741983178252,
      0.5027044479488839,
      0.4952482256961043,
      0.4879030301706225,
      0.48066658488128267,
      0.4735367787026154,
      0.4665116251356835,
      0.4595892346468038,
      0.45276779532425365,
      0.44604555918009875,
      0.43942083314823616,
      0.432891972291075,
      0.4264573823739223,
      0.420115766558981,
      0.41386600427558295,
      0.4077068938641907,
      0.401637160447415,
      0.3956554865934709,
      0.3897605359750824,
      0.3839509688710191,
      0.3782254521157938,
      0.3725826657267838,
      0.36702130684863093,
      0.36154037948070766,
      0.3561393223097122,
      0.35081741314254944,
      0.3455737526962857,
      0.3404071987059464,
      0.3353164574079694,
      0.3303004513578173,
      0.32535811398471687,
      0.320488358172166,
      0.31569009003831283,
      0.31096221819312475,
      0.3063036593103637,
      0.3017133421379537,
      0.2971902204290389,
      0.292733355231388,
      0.2883418456321436,
      0.2840147767951865,
      0.2797512257947921,
      0.2755502590463516,
      0.2714109411536647,
      0.26733234136616757,
      0.2633135372659515,
      0.2593536172146725,
      0.25545182240154285,
      0.25160771034088436,
      0.2478207578743164,
      0.244090324467182,
      0.24041569588670259,
      0.2367961135203287,
      0.23323079374545708,
      0.2297189409867974,
      0.22625975620361596,
      0.22285244260816978,
      0.21949620928819072,
      0.216190273688728,
      0.21293386309193663,
      0.20972614724449412,
      0.20656626464495348,
      0.2034534038800538,
      0.20038679299774648,
      0.19736569027604214,
      0.19438937802372083,
      0.1914571581563282,
      0.18856834936642683,
      0.18572228489867654,
      0.18291831115058887,
      0.18015578689225045,
      0.17743408224903268,
      0.17475257842460204,
      0.17211066696153843,
      0.16950774949777428,
      0.16694323752897341,
      0.16441655212565262,
      0.16192712369341516,
      0.15947439182078157,
      0.1570578049853822,
      0.15467682039800346,
      0.1523309039777181,
      0.15001952998157744,
      0.14774218098766634,
      0.1454983477739458,
      0.143287529118104,
      0.1411092316389618,
      0.13896296957108406,
      0.13684826482210052,
      0.13476464660052972,
      0.13271165149742675,
      0.1306888233293215,
      0.12869571303426058,
      0.12673187837298588,
      0.12479688406447172,
      0.12289030140841681,
      0.12101170844922679,
      0.11916068958880707,
      0.1173368355498515,
      0.11553974340991643,
      0.11376901636941761,
      0.11202426367251513,
      0.11030510065588263,
      0.10861114842267075,
      0.10694203375771431,
      0.10529738934144327,
      0.10367685325136922,
      0.1020800690860152,
      0.1005066859096565,
      0.0989563580311326,
      0.09742874499727106,
      0.09592351155328396,
      0.09444032738519723,
      0.09297886731183422,
      0.09153881094071596,
      0.09011984274143126,
      0.08872165184285823,
      0.08734393214565352,
      0.08598638209508352,
      0.08464870470501795,
      0.083330607375264,
      0.0820318019406314,
      0.08075200454160296,
      0.07949093557370085,
      0.0782483195185367,
      0.07702388508517782,
      0.07581736486384522,
      0.07462849563631387,
      0.07345701800439741,
      0.07230267639189766,
      0.07116521920666433,
      0.07004439841875126,
      0.06893996965131206,
      0.06785169225588646,
      0.06677932919754923,
      0.0657226469281686,
      0.0646814153135765,
      0.06365540770994621,
      0.06264440079236977,
      0.061648174484597924,
      0.06066651201848115,
      0.05969919986876997,
      0.0587460276778499,
      0.057806788217505164,
      0.05688127716514816,
      0.05596929333302681,
      0.05507063854962909,
      0.054185117447449006,
      0.05331253756965752,
      0.05245270942413834,
      0.05160544622737596,
      0.050770563992688256,
      0.04994788131349808,
      0.04913721965970732,
      0.048338402987599983,
      0.04755125790021623,
      0.046775613518684284,
      0.046011301522065846,
      0.04525815599031187,
      0.04451601353580408,
      0.04378471316826239,
      0.043064096136786675,
      0.04235400617471428,
      0.04165428924823527,
      0.04096479359350717,
      0.040285369727585035,
      0.03961587033715676,
      0.03895615023014432,
      0.03830606635550415,
      0.03766547786007567,
      0.0370342458293262,
      0.03641223341081379,
      0.035799305821614516,
      0.03519533025536959,
      0.03460017578757932,
      0.034013713485234694,
      0.03343581629827216,
      0.032866358916974064,
      0.03230521797956619,
      0.03175227189918686,
      0.0312074009554276,
      0.03067048707506578,
      0.03014141398468526,
      0.029620067112994065,
      0.02910633358202686,
      0.028600102179703397,
      0.028101263116054483,
      0.02760970834482288,
      0.027125331471987913,
      0.026648027651448265,
      0.026177693474106124,
      0.025714227116956135,
      0.02525752823110537,
      0.024807497950082497,
      0.02436403886567385,
      0.023927055009466423,
      0.023496451700068734,
      0.023072135732235263,
      0.022654015298491544,
      0.022241999954259756,
      0.021836000384621895,
      0.021435928690820272,
      0.021041698389751118,
      0.020653224132495485,
      0.020270421815434314,
      0.019893208613560708,
      0.0195215029359393,
      0.01915522436059717,
      0.018794293561187427,
      0.018438632390804698,
      0.01808816394465642,
      0.017742812379689877,
      0.017402502960908395,
      0.01706716201029371,
      0.016736717012496388,
      0.016411096521534576,
      0.01609023005875673,
      0.01577404811032593,
      0.015462482268183014,
      0.01515546516538322,
      0.01485293040942817,
      0.014554812480786354,
      0.014261046864156902,
      0.013971570024634733,
      0.013686319381128876,
      0.0134052331818748,
      0.01312825060587296,
      0.012855311855196231,
      0.012586357799521176,
      0.012321330278692706,
      0.012060171919113112,
      0.011802826201338634,
      0.011549237448413225,
      0.011299350817360868,
      0.011053112243076264,
      0.010810468520579649,
      0.010571367144684577,
      0.010335756371315289,
      0.010103585276091703,
      0.009874803662688949,
      0.009649361948557277,
      0.00942721140314017,
      0.009208303905681147,
      0.008992592157251783,
      0.008780029520548077,
      0.008570569976932877,
      0.008364168302048109,
      0.008160779837490462,
      0.007960360563633488,
      0.007762867206932308,
      0.007568256968264289,
      0.007376487762119658,
      0.007187518204109099,
      0.0070013073403071245,
      0.006817814855700644,
      0.006637001036703544,
      0.006458826755386957,
      0.00628325354477109,
      0.006110243384295931,
      0.00593975895145586,
      0.005771763348055403,
      0.005606220222531636,
      0.005443093754484758,
      0.005282348679575415,
      0.005123950278415665,
      0.004967864265507435,
      0.004814056991966725,
      0.0046624966298582475,
      0.00451315232885243,
      0.004365992931004797,
      0.004220987363813876,
      0.004078104798046348,
      0.003937314514159407,
      0.0037985861186350485,
      0.0036618896601980596,
      0.0035271954549090955,
      0.0033944742114690456,
      0.0032636971005204005,
      0.0031348356861027,
      0.0030078619986314043,
      0.002882748437302146,
      0.0027594677004832576,
      0.002637992977636872,
      0.002518297761040808,
      0.0024003560280837,
      0.0022841420182462715,
      0.002169630443673862,
      0.0020567963707841396,
      0.0019456152877292663,
      0.0018360629383583503,
      0.0017281154304136257,
      0.001621749275378322,
      0.001516941296259289,
      0.0014136686511908257,
      0.0013119089216841945,
      0.0012116399357947338,
      0.0011128397763005182,
      0.0010154869682198614,
      0.0009195603182673206,
      0.000825038952530628,
      0.0007319022471305446,
      0.0006401298681966728,
      0.000549701901853495,
      0.00046059864262150614,
      0.00037280069410720954,
      0.00028628890556301053,
      0.00020104444928549574,
      0.00011704883590067348,
      3.428364445673e-05,
      -4.7269085343383765e-05,
      -0.0001276271274202678,
      -0.00020680799898660642,
      -0.0002848289531923318,
      -0.00036170699571536546,
      -0.00043745879900748436,
      -0.0005121009395439785,
      -0.0005856495365614968,
      -0.000658120627143921,
      -0.0007295300701194702,
      -0.0007998933856573345,
      -0.0008692259434672089,
      -0.0009375428131292654,
      -0.0010048588806244741,
      -0.0010711888367838094,
      -0.0011365471140362174,
      -0.001200947924004881,
      -0.0012644052752194578,
      -0.0013269329707912229,
      -0.001388544668997644,
      -0.001449253854068371,
      -0.0015090737493484987,
      -0.0015680173564778536,
      -0.0016260974427480196,
      -0.0016833266740212093,
      -0.0017397175562603503,
      -0.0017952823636598046,
      -0.0018500332187496057,
      -0.0019039820319260699,
      -0.001957140579917937,
      -0.0020095204247010325,
      -0.002061133060959384,
      -0.0021119895092504394
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56673952124099,
      10.336361699844,
      10.097951420262653,
      9.85459766456485,
      9.608784919355296,
      9.362669288300241,
      9.118133517040524,
      8.876749287983033,
      8.639747624568109,
      8.4080506198542,
      8.18228833033027,
      7.962816230860334,
      7.749744585492116,
      7.5429762513219085,
      7.3422454540884585,
      7.147156680597358,
      6.957234273059215,
      6.771960894369957,
      6.590808850411676,
      6.413267927088105,
      6.23886358625262,
      6.067157710192229,
      5.897769741414806,
      5.730389961338679,
      5.564781726567214,
      5.400785768475734,
      5.23831970809011,
      5.077382768547618,
      4.918044484781015,
      4.760432432907977,
      4.604742417176139,
      4.451234368510985,
      4.30022551900362,
      4.152093690065475,
      4.007241414393243,
      3.866073517504516,
      3.728981265666796,
      3.5963333127339143,
      3.4684651226942367,
      3.345664635438254,
      3.2281659453744123,
      3.1161461241331594,
      3.0097243122056097,
      2.9089526399515333,
      2.813811612060479,
      2.724216439431384,
      2.640039036491777,
      2.561097426806914,
      2.4871585280257116,
      2.41798201219994,
      2.3533146626778585,
      2.2928692997621014,
      2.2363289028157487,
      2.183349027041779,
      2.133544755039886,
      2.0865469480211667,
      2.0420173447387886,
      1.9996408441765092,
      1.9591402972860423,
      1.9202818532508128,
      1.882880558705115,
      1.8467897521921353,
      1.8118881886829952,
      1.778069921407691,
      1.7452474301035483,
      1.7133502553573388,
      1.6823203308612467,
      1.652108449154892,
      1.6226720464339734,
      1.5939736296628102,
      1.565979275663223,
      1.5386558180521437,
      1.5119724356682138,
      1.4859016751467233,
      1.4604186933030845,
      1.4355007219716007,
      1.411126684330757,
      1.3872769176230153,
      1.36393395491778,
      1.3410823801566556,
      1.3187071421873886,
      1.296793506994494,
      1.275327153757075,
      1.254294230364068,
      1.233681381845304,
      1.213475759874665,
      1.1936650210751734,
      1.1742373177154546,
      1.15518149025594,
      1.1364882634041085,
      1.1181498261849316,
      1.1001586012941384,
      1.0825069460682528,
      1.0651871282120584,
      1.048191873209744,
      1.0315154530983153,
      1.0151517018626917,
      0.9990938920386978,
      0.9833350173639126,
      0.9678679773543528,
      0.9526856967073815,
      0.9377812013039485,
      0.9231476652427568,
      0.9087784384074113,
      0.8946670615351435,
      0.8808072726771583,
      0.8671930091706235,
      0.8538184051073442,
      0.8406777867595906,
      0.8277656678529036,
      0.8150767426518416,
      0.8026058794415045,
      0.7903481140843384,
      0.7782986430684867,
      0.7664528172158548,
      0.7548061351761408,
      0.7433542374319779,
      0.732092900366532,
      0.7210180305748096,
      0.7101256598535148,
      0.6994119396713743,
      0.6888731367684414,
      0.6785056280951407,
      0.6683058967350515,
      0.6582705275249568,
      0.6483962029170157,
      0.6386796855106176,
      0.6291177721610749,
      0.6197073521882909,
      0.6104454231286708,
      0.6013290792016304,
      0.5923555027859354,
      0.5835219580452142,
      0.5748257854420343,
      0.566264398171748,
      0.5578352778847435,
      0.5495359717719671,
      0.5413640899848648,
      0.5333173030999554,
      0.5253933395146632,
      0.5175899839064819,
      0.5099050747345553,
      0.5023363939585463,
      0.49488133210814367,
      0.4875373628824089,
      0.48030219312711275,
      0.47317370038404744,
      0.46614989060839346,
      0.45922886892503134,
      0.452408819600981,
      0.4456879921516986,
      0.43906469158836436,
      0.4325372713592817,
      0.4261041738834056,
      0.4197641560459947,
      0.41351607422602193,
      0.40735870440601746,
      0.4012907531088402,
      0.39531089045786233,
      0.3894177718288396,
      0.38361005179215824,
      0.37788639327510776,
      0.37224547366238425,
      0.36668598821891857,
      0.36120704368758605,
      0.3558080847751806,
      0.3504883482421644,
      0.34524690769386945,
      0.3400825979444826,
      0.3349941416011908,
      0.3299804574501314,
      0.325040463885419,
      0.3201730639626768,
      0.3153771571685815,
      0.31065164756976127,
      0.30599544876716955,
      0.3014074874342297,
      0.296886723320123,
      0.29243222664566904,
      0.28804309029565617,
      0.28371839611911387,
      0.27945721736078694,
      0.2752586178187881,
      0.271121660514363,
      0.2670454133014254,
      0.2630289528004628,
      0.2590713668271952,
      0.25517191930933447,
      0.25133016940415936,
      0.24754558475458954,
      0.2438175185846104,
      0.24014525251249486,
      0.2365280251904242,
      0.23296505115347416,
      0.22945553346133352,
      0.22599867207678206,
      0.22259366965538405,
      0.21923973494799603,
      0.2159360850382785,
      0.21268194683263775,
      0.2094764846213108,
      0.2063188366235855,
      0.20320819334272333,
      0.200143784109471,
      0.1971248681219906,
      0.19415072821059873,
      0.19122066668206364,
      0.1883340024010381,
      0.18549006879377683,
      0.182688212385495,
      0.17992779194256087,
      0.17720817781102305,
      0.17452875107975882,
      0.17188890327244638,
      0.1692880360394704,
      0.16672556092587792,
      0.16420089899251794,
      0.1617134806649054,
      0.15926274539568508,
      0.15684814168146197,
      0.15446912683613417,
      0.15212516671145035,
      0.1498157356567191,
      0.14754031625996575,
      0.14529839920705662,
      0.14308948322073242,
      0.14091307498386493,
      0.13876868879313495,
      0.1366558465395975,
      0.13457407745058134,
      0.13252291815837097,
      0.13050191247899912,
      0.12851061135903286,
      0.12654857255717072,
      0.12461536074125507,
      0.12271054735829597,
      0.12083371035347559,
      0.1189844341383951,
      0.1171623095413324,
      0.11536693362512358,
      0.1135979096009968,
      0.11185484683862855,
      0.11013736074943979,
      0.10844507235886794,
      0.10677760857739185,
      0.10513460197534874,
      0.10351569074225554,
      0.10192051856247232,
      0.10034873445860998,
      0.09879999276686172,
      0.09727395314970087,
      0.09577028040355792,
      0.09428864436057079,
      0.09282871966719562,
      0.0913901860694103,
      0.08997272802801398,
      0.08857603484045043,
      0.08719980038463997,
      0.08584372317775282,
      0.08450750627333192,
      0.08319085718350909,
      0.08189348776288866,
      0.08061511413967208,
      0.07935545678590693,
      0.07811424022429495,
      0.07689119323665825,
      0.07568604862285058,
      0.07449854306298791,
      0.07332841718483486,
      0.07217541561010471,
      0.07103928666860543,
      0.06991978237373553,
      0.06881665857076939,
      0.06772967458314229,
      0.06665859345101298,
      0.06560318168349877,
      0.06456320923711643,
      0.0635384494458904,
      0.06252867912034756,
      0.061533678302743915,
      0.060553230189909824,
      0.05958712136721472,
      0.05863514155523361,
      0.057697083546487074,
      0.0567727431407179,
      0.055861919154950895,
      0.05496441347999368,
      0.05408003085869874,
      0.053208578894366955,
      0.05234986817192171,
      0.05150371198944406,
      0.05066992635720172,
      0.04984833007714464,
      0.04903874455297312,
      0.04824099375316619,
      0.04745490444117011,
      0.04668030580878316,
      0.04591702959593881,
      0.04516491001931302,
      0.04442378371723775,
      0.04369348973840759,
      0.04297386946360875,
      0.04226476667933752,
      0.04156602736797821,
      0.04087749990402835,
      0.04019903487447821,
      0.0395304849871373,
      0.03887170519706108,
      0.03822255247900097,
      0.03758288597014917,
      0.03695256690783894,
      0.036331458528032476,
      0.035719425977500885,
      0.03511633656406633,
      0.034522059455774926,
      0.033936465717424896,
      0.033359428348518724,
      0.03279082222347232,
      0.03223052413766534,
      0.03167841251425225,
      0.031134367654780056,
      0.03059827161203246,
      0.030070008143061083,
      0.029549462700379784,
      0.029036522436158493,
      0.02853107614931469,
      0.028033014226297146,
      0.027542228785387424,
      0.027058613464731606,
      0.026582063337442712,
      0.02611247511827975,
      0.025649747147935772,
      0.025193779084491632,
      0.024744472051658816,
      0.024301728709986994,
      0.02386545316220552,
      0.023435550959934843,
      0.023011928867415852,
      0.022594495056720242,
      0.022183159072467522,
      0.02177783189776774,
      0.02137842567245621,
      0.0209848539170817,
      0.020597031238592488,
      0.020214873652789917,
      0.019838298363714688,
      0.019467223865510433,
      0.019101569794884286,
      0.018741256991781488,
      0.0183862073800497,
      0.018036343966941305,
      0.017691590999410516,
      0.01735187382001964,
      0.01701711885432824,
      0.016687253570671585,
      0.016362206475704258,
      0.01604190722244413,
      0.015726286480756337,
      0.015415275849980347,
      0.015108808093570649,
      0.014806816716288224,
      0.014509236352648296,
      0.01421600249125095,
      0.013927051705559764,
      0.013642321373390604,
      0.01336174989558141,
      0.013085276511848506,
      0.012812841361606068,
      0.012544385471593053,
      0.012279850683901335,
      0.012019179643981437,
      0.011762316008444434,
      0.0115092041666696,
      0.011259789245414964,
      0.011014017281783733,
      0.010771835036704695,
      0.010533190110698795,
      0.010298030795485281,
      0.010066306087622837,
      0.009837965793521398,
      0.009612960568079846,
      0.009391241676415625,
      0.009172761248117658,
      0.00895747187944062,
      0.008745326988001923,
      0.008536280630035451,
      0.008330287517384556,
      0.008127302986033744,
      0.007927283049896953,
      0.007730184552639414,
      0.007535964705630623,
      0.007344581588148079,
      0.007155993734686221,
      0.006970160271281344,
      0.0067870409648075804,
      0.006606596211788818,
      0.006428787022648772,
      0.0062535748496857484,
      0.006080921728393429,
      0.00591079026839228,
      0.005743143659452207,
      0.005577945546023473,
      0.005415160164507688,
      0.0052547522664485175,
      0.005096687266571845,
      0.004940930903098089,
      0.004787449396341503,
      0.004636209951881645,
      0.0044871817008475205,
      0.004340334064354227,
      0.004195636264958651,
      0.004053057587588295,
      0.003912567564202923,
      0.003774135879571851,
      0.003637732545002977,
      0.003503328060434528,
      0.003370893215872633,
      0.0032403992250518198,
      0.0031118177202985745,
      0.0029851206858497745,
      0.002860280544687584,
      0.0027372700380979866,
      0.0026160623731535312,
      0.002496631161927009,
      0.002378950457731265,
      0.002262994532462879,
      0.0021487380046707723,
      0.0020361560069091155,
      0.0019252240628551724,
      0.0018159180293402884,
      0.0017082139888065933,
      0.0016020884607772386,
      0.0014975183542313383,
      0.0013944808259837695,
      0.0012929534201353361,
      0.0011929140561863002,
      0.001094340872374341,
      0.0009972124197489014,
      0.0009015075462007671,
      0.0008072053770634641,
      0.0007142853347152366,
      0.0006227271980427758,
      0.0005325108574252356,
      0.00044361673222871665,
      0.0003560254390714288,
      0.0002697179515910834,
      0.0001846753918296135,
      0.00010087923609140891,
      1.8311242268481028e-05,
      -6.304659640811856e-05,
      -0.00014321203930019722,
      -0.00022220255364036544,
      -0.00030003533854135216,
      -0.00037672740522333784,
      -0.00045229544655423436,
      -0.0005267559537076543,
      -0.0006001251343333168,
      -0.000672419039920189,
      -0.0007436533869695938,
      -0.0008138437398051019,
      -0.0008830052788793888,
      -0.0009511531720611081,
      -0.0010183022207783993,
      -0.0010844670835340772,
      -0.0011496622570709028,
      -0.001213901929666525,
      -0.001277200119731729,
      -0.0013395707178856305,
      -0.0014010271791068867,
      -0.0014615828743578482,
      -0.0015212511050552494,
      -0.0015800447926218875,
      -0.0016379767519617047,
      -0.0016950595952635638,
      -0.0017513058453086333,
      -0.0018067277174328763,
      -0.0018613372309731091,
      -0.0019151463138832722,
      -0.0019681667922765078,
      -0.0020204101759257235,
      -0.0020718878944482946,
      -0.00212261115113224
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566736867228945,
      10.336348933912612,
      10.097921908483038,
      9.854546369689643,
      9.608707795815508,
      9.362563515924137,
      9.117997340883843,
      8.876582181811203,
      8.639549830903068,
      8.407822672306496,
      8.182030885715728,
      7.962529972743968,
      7.749430142129577,
      7.542634124934267,
      7.341875759928401,
      7.146759343382261,
      6.95680919522202,
      6.7715079743650115,
      6.590328018097156,
      6.4127592676675285,
      6.238327458436739,
      6.066594681574532,
      5.897180536639823,
      5.729775537902221,
      5.564143338315331,
      5.400124948798325,
      5.2376383016088575,
      5.076682964558819,
      4.917328746097354,
      4.75970338921383,
      4.604003066141881,
      4.450487973261487,
      4.299476083404306,
      4.15134557313441,
      4.006498942314385,
      3.8653408729967906,
      3.7282624095188748,
      3.5956320572761094,
      3.4677849586691902,
      3.3450086006083777,
      3.227536590773334,
      3.1155454971806615,
      3.009153955976429,
      2.908413449292279,
      2.813303745537589,
      2.7237393384262303,
      2.639591673973388,
      2.5606780476571562,
      2.4867650288810004,
      2.4176121479481294,
      2.352966138127341,
      2.292539607971876,
      2.2360153557244424,
      2.183048482349338,
      2.133254138438066,
      2.086263459385198,
      2.041738348520046,
      1.9993640428381174,
      1.9588638576570199,
      1.9200044074094489,
      1.882601115868734,
      1.8465075843845231,
      1.8116027668387138,
      1.7777808700585587,
      1.744954507353413,
      1.713053297686142,
      1.6820192413400483,
      1.6518031866606024,
      1.6223626093917844,
      1.593660043401537,
      1.5656615967294616,
      1.5383341334712146,
      1.5116468315763831,
      1.4855722369522748,
      1.4600855053822566,
      1.4351638679653669,
      1.4107862471249937,
      1.386932978958606,
      1.363586637509091,
      1.3407318099140073,
      1.3183534284943121,
      1.296436747679111,
      1.2749674378475109,
      1.2539316405067338,
      1.2333159959255142,
      1.2131076524486217,
      1.1932942638998354,
      1.1738639802393949,
      1.1548057165161285,
      1.1361103051944812,
      1.1177698962956173,
      1.0997768781012334,
      1.0821235781483594,
      1.06480223327764,
      1.0478057755577237,
      1.031128480640402,
      1.0147640864197875,
      0.998705800610792,
      0.9829465732160796,
      0.9674792744083471,
      0.9522968090407665,
      0.9373921897545103,
      0.9227585817913582,
      0.9083893288037784,
      0.894277967392797,
      0.8804182327862348,
      0.8668040603373136,
      0.8534295823682091,
      0.8402891243450644,
      0.8273771989690911,
      0.8146884998606523,
      0.8022178949790149,
      0.7899604195067516,
      0.7779112694985477,
      0.7660657954003947,
      0.7544194953810395,
      0.7429680094540343,
      0.73170711371342,
      0.7206327145594277,
      0.709740843170434,
      0.6990276505997267,
      0.6884894029322609,
      0.6781224770543095,
      0.6679233553967153,
      0.6578886223349022,
      0.6480149599656222,
      0.6382991296382595,
      0.6287379264842048,
      0.6193282401579652,
      0.610067068165081,
      0.6009515045262365,
      0.5919787316274301,
      0.5831460132789451,
      0.5744506897570115,
      0.5658901737720906,
      0.5574619464637818,
      0.5491635547332181,
      0.5409926082234215,
      0.5329467770058128,
      0.5250237892483679,
      0.5172214289308711,
      0.5095375342040437,
      0.5019699168818171,
      0.49451601029324493,
      0.4871732630816527,
      0.47993936526303416,
      0.47281218288164467,
      0.4657897139286343,
      0.458870058074216,
      0.4520513957266414,
      0.4453319737136748,
      0.43871009526197935,
      0.4321841124446115,
      0.42575250442038576,
      0.41941408539346137,
      0.4131676865293192,
      0.4070120572583049,
      0.4009458866169925,
      0.3949678328825805,
      0.3890765433731375,
      0.383270667034445,
      0.37754886304423846,
      0.3719098060818143,
      0.36635220107989347,
      0.3608752516183851,
      0.35547839698517353,
      0.3501608350054734,
      0.344921613339983,
      0.33975954489806126,
      0.33467336919554275,
      0.32966200152712033,
      0.32472434611034867,
      0.3198592961014054,
      0.3150657444228208,
      0.3103425906506677,
      0.30568874550474395,
      0.3011031335335904,
      0.2965847203424389,
      0.29213258541276743,
      0.2877458156796191,
      0.28342348964987246,
      0.27916467664783723,
      0.27496843786515995,
      0.2708338345220965,
      0.2667599334681316,
      0.2627458105503371,
      0.2587905527317085,
      0.254893446498853,
      0.2510540523829237,
      0.247271829015302,
      0.24354612365379724,
      0.23987621378878832,
      0.2362613352312331,
      0.23270070061871165,
      0.2291935116536402,
      0.2257389675771381,
      0.22233627029298822,
      0.21898462802004345,
      0.21568325772998695,
      0.2124313832144393,
      0.2092281646901933,
      0.20607274257019742,
      0.20296430906771448,
      0.1999020944664706,
      0.1968853585445448,
      0.19391338462000773,
      0.19098547534528582,
      0.18810094961066348,
      0.1852591409925852,
      0.18245939616301257,
      0.1797010740318373,
      0.1769835448048432,
      0.17430618966717515,
      0.17166840024575486,
      0.16906957804010495,
      0.16650913448152285,
      0.16398649080761815,
      0.1615010773701471,
      0.159052333640384,
      0.15663970809152183,
      0.15426265797790975,
      0.15192064916910936,
      0.14961315601363068,
      0.14733966106056207,
      0.1450996551215169,
      0.14289263689143197,
      0.14071811296057612,
      0.13857559760699562,
      0.13646461267497012,
      0.1343846875642676,
      0.13233535893664974,
      0.13031617057691566,
      0.1283266734344546,
      0.1263664253621298,
      0.12443499099660967,
      0.12253194174243785,
      0.12065685561161274,
      0.11880931698808263,
      0.11698891673021328,
      0.11519525205854464,
      0.11342792618991544,
      0.11168654843650323,
      0.10997073415206106,
      0.108280104628077,
      0.10661428683143787,
      0.10497291331286168,
      0.1033556222227815,
      0.10176205734609184,
      0.10019186774176655,
      0.0986447077948315,
      0.0971202370952195,
      0.09561812045494053,
      0.09413802776519202,
      0.09267963383870956,
      0.09124261842806743,
      0.08982666611467065,
      0.08843146614423322,
      0.08705671250150238,
      0.08570210370823152,
      0.08436734289818842,
      0.08305213753944554,
      0.08175619962945666,
      0.08047924537215938,
      0.0792209953183876,
      0.0779811740476549,
      0.07675951034773537,
      0.0755557370405043,
      0.07436959101915362,
      0.0732008129185259,
      0.07204914728869945,
      0.07091434254717877,
      0.06979615089125918,
      0.06869432812536701,
      0.06760863364789159,
      0.06653883059734934,
      0.06548468550004666,
      0.06444596834389818,
      0.06342245262016619,
      0.062413915190519635,
      0.06142013610601836,
      0.06044089865433788,
      0.05947598942175217,
      0.05852519819277429,
      0.057588317743796524,
      0.05666514402960191,
      0.055755476089053575,
      0.054859115784194466,
      0.05397586796973097,
      0.053105540275951275,
      0.05224794339866041,
      0.05140289067163831,
      0.050570198253905366,
      0.04974968492972436,
      0.04894117216974551,
      0.04814448406252471,
      0.04735944735424073,
      0.04658589132066112,
      0.045823647715191027,
      0.04507255081237135,
      0.04433243734955893,
      0.043603146567033145,
      0.042884519863077,
      0.04217640101420514,
      0.04147863617185315,
      0.04079107375071669,
      0.04011356436372034,
      0.03944596085149637,
      0.03878811804973695,
      0.03813989310829751,
      0.03750114527494313,
      0.03687173595484111,
      0.036251528345155014,
      0.03564038765912057,
      0.03503818122063587,
      0.034444778385885506,
      0.03386005023413109,
      0.03328386985696624,
      0.032716112193756315,
      0.032156653976358425,
      0.03160537386496466,
      0.03106215214287798,
      0.030526870869343584,
      0.02999941402972886,
      0.02947966711409595,
      0.02896751729343897,
      0.028462853455804765,
      0.02796556597558036,
      0.02747554708048828,
      0.02699269046179054,
      0.026516891348771335,
      0.026048046506081078,
      0.025586054237181757,
      0.025130814355599086,
      0.024682228028502614,
      0.024240198019733938,
      0.023804628462113245,
      0.023375424825743167,
      0.022952494031726698,
      0.02253574438042363,
      0.0221250855488475,
      0.02172042838965262,
      0.021321685113411263,
      0.02092876938234578,
      0.020541595933729433,
      0.02016008077922423,
      0.019784141225660832,
      0.019413695754619084,
      0.019048664085024137,
      0.018688966985791283,
      0.018334526557077367,
      0.01798526596316167,
      0.017641109411584366,
      0.017301982244009403,
      0.016967810993509667,
      0.016638523236718716,
      0.016314047628105642,
      0.0159943137157224,
      0.015679252282149593,
      0.015368794977731403,
      0.015062874548966787,
      0.014761424587272564,
      0.014464379765206021,
      0.014171675770992211,
      0.013883249139137204,
      0.013599037313361515,
      0.013318978770111234,
      0.013043012777415992,
      0.012771079512990348,
      0.012503120007748048,
      0.012239076175307914,
      0.011978890749619947,
      0.011722507340234126,
      0.011469870465675585,
      0.011220925323075651,
      0.010975617930231553,
      0.010733895079221952,
      0.010495704475285606,
      0.010260994501260301,
      0.010029714263434108,
      0.009801813677965275,
      0.009577243338159472,
      0.009355954517757987,
      0.009137899342415687,
      0.008923030589019549,
      0.00871130161511506,
      0.008502666474664458,
      0.008297080005130348,
      0.008094497694795307,
      0.00789487560334575,
      0.007698170488585105,
      0.007504339681161622,
      0.007313341197299795,
      0.007125133707308126,
      0.0069396763226622716,
      0.006756928855463678,
      0.006576851762307832,
      0.0063994061356162915,
      0.006224553417190449,
      0.00605225573687447,
      0.005882475662036564,
      0.005715176438704541,
      0.005550321834609132,
      0.005387876194247256,
      0.005227804311469678,
      0.0050700714443264305,
      0.004914643381960213,
      0.004761486475738978,
      0.004610567513658063,
      0.004461854862009223,
      0.0043153182522577644,
      0.004170927326404476,
      0.004028651530809022,
      0.0038884605241650896,
      0.0037503242108980705,
      0.0036142128268441837,
      0.003480096803018631,
      0.0033479470505203782,
      0.0032177349353370256,
      0.0030894320704781854,
      0.002963010433730124,
      0.0028384424731808943,
      0.0027157010827043556,
      0.002594759489017134,
      0.0024755912419213927,
      0.0023581703202923427,
      0.0022424711317346403,
      0.0021284684056923197,
      0.002016137399720841,
      0.0019054535541595512,
      0.0017963926757803802,
      0.0016889308553522952,
      0.0015830447681787186,
      0.001478711359938572,
      0.0013759078325372633,
      0.0012746118091524607,
      0.0011748011571048873,
      0.001076454028381571,
      0.000979548996429148,
      0.0008840648256348737,
      0.000789980776259231,
      0.000697276363786145,
      0.000605931310319722,
      0.0005159257067579617,
      0.0004272397819393058,
      0.0003398541812603982,
      0.0002537499542437054,
      0.00016890833393921558,
      8.531082853414008e-05,
      2.9391552130577454e-06,
      -7.822471077490989e-05,
      -0.00015819849877475015,
      -0.00023699954693157604,
      -0.00031464511204094673,
      -0.00039115217634560367,
      -0.0004665374316691907,
      -0.0005408172875648016,
      -0.0006140079548492745,
      -0.0006861253630123639,
      -0.0007571852990872971,
      -0.0008272032723177959,
      -0.0008961945561305005,
      -0.0009641742352566757,
      -0.001031157067717725,
      -0.0010971576764494959,
      -0.0011621905812155078,
      -0.0012262699693591805,
      -0.001289409783352832,
      -0.0013516237755380374,
      -0.001412925536663534,
      -0.0014733283138036802,
      -0.0015328453041375156,
      -0.0015914895540948188,
      -0.0016492739343647047,
      -0.0017062110693455777,
      -0.00176231327869351,
      -0.0018175928610470592,
      -0.0018720618432916977,
      -0.0019257321614060733,
      -0.001978615465604523,
      -0.0020307233505613446,
      -0.0020820671146046937,
      -0.002132658033195486
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566734225322207,
      10.336336226240242,
      10.097892528328197,
      9.854495299251568,
      9.608631001829938,
      9.362458187085656,
      9.117861727559655,
      8.876415743877438,
      8.639352799670721,
      8.407595587877255,
      8.18177441156546,
      7.962244793272718,
      7.749116889510832,
      7.542293304480239,
      7.341507485974435,
      7.1463635407800385,
      6.956385770433757,
      6.771056830470275,
      6.589849088131935,
      6.4122526389364465,
      6.237793492015496,
      6.0660339477640886,
      5.896593762206355,
      5.7291636826448045,
      5.563507657569474,
      5.399466976628507,
      5.236959880643785,
      5.075986280677608,
      4.916616258115859,
      4.758977720770238,
      4.603267206196299,
      4.449745174988687,
      4.298730338532192,
      4.150601226200315,
      4.0057603050482875,
      3.8646121119740897,
      3.7275474696179827,
      3.594934733576424,
      3.4671087250520953,
      3.344356477273979,
      3.226911112259189,
      3.1149486968262416,
      3.0085873637641125,
      2.907877948635652,
      2.8127994865686454,
      2.723265757763234,
      2.6391477409137667,
      2.5602620045269213,
      2.4863747706624455,
      2.4172454291452405,
      2.352620664297713,
      2.2922128758848577,
      2.235704682865773,
      2.1827507335077345,
      2.13296624638775,
      2.0859826298535302,
      2.041461947548119,
      1.99908978103989,
      1.9585899096273227,
      1.9197294111417502,
      1.882324085222121,
      1.8462277951560837,
      1.8113196935565041,
      1.7774941399352495,
      1.7446638810315551,
      1.7127586138230393,
      1.6817204055205603,
      1.6515001590730816,
      1.6220553889658729,
      1.5933486568313953,
      1.5653461020658546,
      1.5380146187118902,
      1.5113233833404853,
      1.4852449416505187,
      1.4597544481930427,
      1.4348291329209433,
      1.4104479169827375,
      1.3865911352109792,
      1.3632414032071811,
      1.340383311374927,
      1.3180017754707638,
      1.2960820377654807,
      1.2746097604498363,
      1.2535710788483476,
      1.2329526288155626,
      1.2127415548448839,
      1.1929255077902525,
      1.1734926353823878,
      1.1544319271296624,
      1.1357343312077768,
      1.1173919545448527,
      1.0993971423925994,
      1.081742194851078,
      1.0644193193368907,
      1.0474216545138124,
      1.0307434791966357,
      1.0143784352408982,
      0.9983196661464593,
      0.9825600784266658,
      0.9670925131526091,
      0.9519098557235539,
      0.9370051056746702,
      0.9223714189116217,
      0.9080021329842467,
      0.8938907802282817,
      0.8800310931709948,
      0.8664170046908292,
      0.8530426459651386,
      0.8399023412590019,
      0.8269906026656846,
      0.8143021232193536,
      0.8018317701009684,
      0.7895745780710578,
      0.7775257427516588,
      0.7656806143389489,
      0.7540346906452142,
      0.7425836113642059,
      0.7313231518899573,
      0.7202492181936855,
      0.7093578409548758,
      0.6986451708272285,
      0.688107473662021,
      0.6777411257603265,
      0.6675426090654631,
      0.6575085076800296,
      0.6476355034314636,
      0.637920355920062,
      0.6283598581790305,
      0.6189509006089609,
      0.6096904811456173,
      0.6005756936898928,
      0.5916037201286122,
      0.5827718243274942,
      0.5740773461482936,
      0.5655176976137102,
      0.5570903595044154,
      0.5487928783531861,
      0.5406228633677638,
      0.5325779842886221,
      0.5246559687956321,
      0.5168546004711229,
      0.5091717169486043,
      0.5016051599921186,
      0.4941524059528102,
      0.4868108781069617,
      0.4795782495071514,
      0.4724523747439712,
      0.46543124398885993,
      0.4585129513981544,
      0.4516956736395761,
      0.4449776549206676,
      0.438357196318565,
      0.43183264857201303,
      0.42540255788369347,
      0.41906575565378257,
      0.4128210499644656,
      0.406667166475097,
      0.4006027783023082,
      0.39462653294759686,
      0.38873707037663097,
      0.38293303463480555,
      0.37721308154003125,
      0.37157588340250614,
      0.3660201975261612,
      0.3605453011229788,
      0.3551505857327875,
      0.3498352180997099,
      0.34459822528340706,
      0.3394384032134757,
      0.33435450996596777,
      0.32934545725266645,
      0.3244101358245152,
      0.31954743004514163,
      0.3147562267372292,
      0.31003542143391705,
      0.3053839221386501,
      0.30080065129766664,
      0.29628458323106044,
      0.2918348033372048,
      0.28745039290765745,
      0.2831304271552422,
      0.2788739717460215,
      0.2746800854493449,
      0.27054782781688597,
      0.26647626449510786,
      0.26246447038339216,
      0.25851153206493405,
      0.2546167584475783,
      0.25077971143833955,
      0.2469998407095549,
      0.24327648737618487,
      0.23960892494118724,
      0.23599638648906157,
      0.23243808269654487,
      0.22893321401098968,
      0.22548097871072575,
      0.22208057802407483,
      0.2187312198539248,
      0.2154321207166817,
      0.2121825015687091,
      0.20898151852771557,
      0.2058283143910533,
      0.2027220827268015,
      0.19966205489938496,
      0.1966474913946379,
      0.19367767586731297,
      0.1907519111640673,
      0.18786951654527395,
      0.1850298256117866,
      0.18223218513365713,
      0.1794759540262861,
      0.17676050253488054,
      0.1740852117900922,
      0.17144947332655358,
      0.1688526887479104,
      0.16629426960139196,
      0.1637736369591733,
      0.16129022122135606,
      0.15884346185966555,
      0.15643280733134257,
      0.15405771492743706,
      0.15171765044116836,
      0.14941208815162466,
      0.1471405106527166,
      0.14490240881284017,
      0.14269728135099655,
      0.14052463487385414,
      0.13838398365485374,
      0.13627484959524605,
      0.1341967620092352,
      0.132149257552368,
      0.13013188013954394,
      0.12814418067500838,
      0.12618571707044035,
      0.12425605399798494,
      0.12235476278508393,
      0.12048142146318175,
      0.11863561448111833,
      0.1168169327759637,
      0.11502497343151799,
      0.11325933986517547,
      0.11151964152650035,
      0.10980549364672079,
      0.10811651738876914,
      0.10645233991444643,
      0.10481259392460332,
      0.10319691754869267,
      0.10160495442302042,
      0.1000363537372016,
      0.09849076989795456,
      0.09696786259264902,
      0.09546729671113428,
      0.0939887421774966,
      0.0925318738560161,
      0.09109637156315693,
      0.08968191981650159,
      0.08828820792460948,
      0.08691492995338312,
      0.085561784454409,
      0.08422847457490704,
      0.08291470797700314,
      0.08162019666142252,
      0.08034465688307825,
      0.07908780918335051,
      0.07784937826887783,
      0.07662909293391126,
      0.07542668600053866,
      0.07424189440676499,
      0.07307445899775708,
      0.07192412435670723,
      0.0707906389827469,
      0.06967375504785983,
      0.06857322844015148,
      0.0674888187287691,
      0.06642028899251887,
      0.06536740585223035,
      0.06432993934747266,
      0.06330766299752927,
      0.06230035368762208,
      0.061307791628106206,
      0.06032976032237931,
      0.05936604632449749,
      0.05841643941848322,
      0.05748073244692245,
      0.056558721545438354,
      0.05565020570532264,
      0.05475498688795157,
      0.053872869920876726,
      0.05300366262752284,
      0.052147175621346666,
      0.05130322239031698,
      0.05047161913155397,
      0.0496521845958841,
      0.04884474040035583,
      0.04804911085489813,
      0.04726512271381836,
      0.046492605200347474,
      0.04573139022808153,
      0.0449813121679694,
      0.04424220789250216,
      0.043513916482103045,
      0.04279627964644895,
      0.042089141239494754,
      0.04139234732640876,
      0.04070574633564547,
      0.04002918897174055,
      0.0393625282385484,
      0.03870561909284516,
      0.03805831869394414,
      0.037420486416580336,
      0.036791983496924884,
      0.03617267330645449,
      0.03556242120076671,
      0.03496109458651021,
      0.03436856285909558,
      0.03378469717313455,
      0.033209370642924486,
      0.0326424582955589,
      0.032083836997001104,
      0.03153338532114767,
      0.030990983750238975,
      0.030456514427445843,
      0.029929861281920316,
      0.029410909817256754,
      0.028899547402039615,
      0.028395663001561777,
      0.027899147017256272,
      0.02740989174926367,
      0.02692779096885359,
      0.026452739929409746,
      0.025984635484844063,
      0.025523376080628955,
      0.025068861452110673,
      0.024620992963829302,
      0.02417967333168128,
      0.02374480682792489,
      0.02331629896336505,
      0.022894056766910968,
      0.022477988554939977,
      0.02206800405617438,
      0.02166401422984571,
      0.021265931413613586,
      0.020873669100932052,
      0.02048714216858458,
      0.020106266804135423,
      0.01973096034952194,
      0.019361141339940977,
      0.018996729426394254,
      0.01863764560820146,
      0.01828381192339354,
      0.01793515160752666,
      0.017591588996755024,
      0.0172530494730359,
      0.016919459629582134,
      0.016590747072326,
      0.01626684048629907,
      0.01594766950218863,
      0.015633164935823708,
      0.01532325854893174,
      0.015017883118802347,
      0.014716972359092327,
      0.014420460959060724,
      0.014128284626417416,
      0.013840379968962778,
      0.013556684462283284,
      0.013277136605353866,
      0.013001675723902017,
      0.012730242075947473,
      0.012462776751110552,
      0.01219922172593427,
      0.011939519808059608,
      0.011683614774552346,
      0.01143145105580248,
      0.011182973912170725,
      0.010938129403593514,
      0.01069686434989443,
      0.010459126522877851,
      0.010224864352270964,
      0.009994027054543017,
      0.009766564490519183,
      0.00954242728086708,
      0.009321566815420707,
      0.009103935253653592,
      0.008889485400435689,
      0.008678170692676795,
      0.00846994531568881,
      0.008264764061496729,
      0.008062582355026894,
      0.00786335646086811,
      0.0076670430826519,
      0.007473599702135779,
      0.0072829842786878984,
      0.007095155529633149,
      0.006910072768262137,
      0.006727695795117294,
      0.006547985051794275,
      0.006370901503977637,
      0.006196406755333034,
      0.006024463036939253,
      0.005855032982606275,
      0.005688079831989046,
      0.005523567425697665,
      0.005361460096121518,
      0.005201722616778772,
      0.005044320298897024,
      0.004889219122473992,
      0.004736385443518728,
      0.0045857859958216875,
      0.004437388256439652,
      0.004291161691987918,
      0.004147076372854282,
      0.00400510219446839,
      0.003865209070800487,
      0.0037273670324827896,
      0.0035915463445981965,
      0.003457717644340697,
      0.003325851927570014,
      0.0031959204476261537,
      0.0030678949079567335,
      0.0029417473062531723,
      0.0028174502382554024,
      0.0026949766182755483,
      0.0025742997255429312,
      0.0024553931312171315,
      0.0023382309572425406,
      0.0022227875774466456,
      0.002109037726843668,
      0.001996956638029679,
      0.0018865197338311503,
      0.0017777029125663158,
      0.0016704824979909762,
      0.0015648349681652237,
      0.0014607372639140201,
      0.0013581667492628365,
      0.0012571009442841586,
      0.0011575177359984825,
      0.0010593953995995766,
      0.0009627125386865205,
      0.0008674480584300532,
      0.0007735811209694335,
      0.0006810912608424001,
      0.0005899583745805384,
      0.0005001624445322645,
      0.00041168384213174176,
      0.00032450323795395485,
      0.00023860155133623758,
      0.00015396004711250235,
      7.056024313903235e-05,
      -1.1616092464215638e-05,
      -9.25868346097902e-05,
      -0.00017236966051615147,
      -0.00025098212558043246,
      -0.00032844136305823697,
      -0.000404764329889523,
      -0.0004799676375126659,
      -0.0005540676935967047,
      -0.0006270806710981789,
      -0.0006990225461000206,
      -0.0007699090398202376,
      -0.0008397556930285992,
      -0.0009085777235494196,
      -0.0009763900859120329,
      -0.0010432075492492227,
      -0.001109044767875122,
      -0.0011739161289447283,
      -0.0012378357008629344,
      -0.001300817549339859,
      -0.0013628754362396786,
      -0.0014240229373486176,
      -0.001484273412918209,
      -0.0015436400855996786,
      -0.001602135933382165,
      -0.0016597737021634973,
      -0.0017165659814936383,
      -0.0017725250376160863,
      -0.0018276631351632933,
      -0.0018819922861732397,
      -0.0019355243866015193,
      -0.0019882711864895363,
      -0.002040244119746204,
      -0.0020914546547066448,
      -0.002141913918941438
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566731594808697,
      10.33632357692965,
      10.097863284071941,
      9.854444460973921,
      9.60855454667883,
      9.36235331113718,
      9.117726686139719,
      8.87625000122546,
      8.639156588827907,
      8.40736945154208,
      8.181519014108883,
      7.9619608188348145,
      7.748804969405339,
      7.54195394475901,
      7.3411407969665845,
      7.14596944481721,
      6.955964172626896,
      6.77060763458599,
      6.589372229024078,
      6.411748205778105,
      6.23726184845613,
      6.0654756672905235,
      5.896009573649845,
      5.728554547139874,
      5.562874829639703,
      5.39881198873218,
      5.236284574605337,
      5.075292841126339,
      4.9159071388502085,
      4.758255539144975,
      4.602534943267141,
      4.449006074312149,
      4.297988379769516,
      4.149860738718519,
      4.005025583059992,
      3.863887305375309,
      3.7268365050109287,
      3.594241388172151,
      3.466436454166882,
      3.343708284736081,
      3.2262895177576607,
      3.1143557185690214,
      3.0080245190655934,
      2.907346110255145,
      2.812298796363531,
      2.722795646468346,
      2.6387071745494577,
      2.5598492243587483,
      2.4859876723012366,
      2.416881769310793,
      2.3522781511866784,
      2.2918890100182705,
      2.235396787107205,
      2.1824556788592946,
      2.1326809736754684,
      2.0857043532587327,
      2.0411880417396415,
      1.9988179647150497,
      1.9583183631972898,
      1.9194567781986103,
      1.8820493838561139,
      1.8459503047397305,
      1.8110388918460638,
      1.777209656852954,
      1.7443754794192148,
      1.712466133808894,
      1.6814237532664593,
      1.6511992960662336,
      1.6217503156368211,
      1.593039400803886,
      1.5650327221460112,
      1.5376972040799024,
      1.511002021707898,
      1.4849197191508705,
      1.4594254504355628,
      1.4344964444588681,
      1.410111621635406,
      1.3862513155587375,
      1.3628981826461053,
      1.3400368165304286,
      1.3176521164122454,
      1.295729313017229,
      1.2742540596339813,
      1.2532124855500144,
      1.232591221634339,
      1.2123774087665633,
      1.1925586953176321,
      1.173123226813897,
      1.1540600673463424,
      1.1353602848383082,
      1.1170159405528384,
      1.0990193331744904,
      1.081362734875182,
      1.0640383235055402,
      1.0470394454478118,
      1.03036038354389,
      1.013994683912075,
      0.997935425372904,
      0.9821754713476243,
      0.9667076336402979,
      0.9515247777226858,
      0.9366198898514658,
      0.9219861171314673,
      0.9076167910327679,
      0.8935054400019055,
      0.8796457937813004,
      0.8660317834007014,
      0.8526575383986872,
      0.839517381852815,
      0.82660582495455,
      0.8139175600598342,
      0.8014474536293342,
      0.789190540108043,
      0.777142014790306,
      0.7652972271665149,
      0.753651674615697,
      0.7422009963812309,
      0.7309409674555911,
      0.7198674933716381,
      0.7089766046808686,
      0.6982644515992711,
      0.6877272994261556,
      0.677361524142053,
      0.6671636074908721,
      0.6571301328280365,
      0.6472577814898092,
      0.637543311764358,
      0.6279835149725987,
      0.618575281909498,
      0.6093156104611896,
      0.6002015944356663,
      0.5912304155257799,
      0.5823993371166716,
      0.5737056989824572,
      0.5651469127064243,
      0.5567204588305704,
      0.5484238835379913,
      0.5402547955434268,
      0.5322108639941509,
      0.5242898161749664,
      0.5164894352862973,
      0.5088075584337617,
      0.5012420576253119,
      0.49379045212120504,
      0.48645013976866774,
      0.47921877659479734,
      0.47209420580053796,
      0.46507440954761115,
      0.45815747649062394,
      0.45134157956824905,
      0.444624960301936,
      0.43800591775618053,
      0.43148280119205884,
      0.42505422814054344,
      0.41871904515793257,
      0.4124760326668877,
      0.4063238933916707,
      0.40026128500126434,
      0.39428684456197177,
      0.3883992049988325,
      0.3825970056901178,
      0.376878899147789,
      0.37124355539082415,
      0.3656897839170097,
      0.36021693539173727,
      0.3548243538581852,
      0.34951117496264406,
      0.344276405056713,
      0.3391188368164357,
      0.3340372395853817,
      0.32903050860807276,
      0.32409752353555094,
      0.3192371612206603,
      0.3144483035921345,
      0.3097298427534831,
      0.30508068428179463,
      0.3004997492905917,
      0.2959860249810645,
      0.2915385969215463,
      0.2871565412692066,
      0.28283893052192155,
      0.2785848271105196,
      0.27439328739617963,
      0.2702633693514727,
      0.26619413739336556,
      0.26218466584043426,
      0.2582340406011641,
      0.2543415931417986,
      0.25050688684346667,
      0.24672936236490042,
      0.2430083547635446,
      0.2393431333475514,
      0.23573292833080461,
      0.2321769485381393,
      0.22867439318083208,
      0.22522445973272565,
      0.22182634894274295,
      0.21847926827659564,
      0.21518243389064384,
      0.21193506359455538,
      0.20873630955324873,
      0.20558531675084096,
      0.20248128039534088,
      0.19942343279742136,
      0.19641103510492794,
      0.19344337159366962,
      0.1905197452592482,
      0.18763947541999343,
      0.18480189597383279,
      0.18200635367987933,
      0.1792522074011408,
      0.1765388274658959,
      0.1738655950318308,
      0.17123190164872967,
      0.1686371489670488,
      0.16608074844023038,
      0.163562121165999,
      0.1610806974147471,
      0.1586359167352037,
      0.15622722759403623,
      0.15385408732546743,
      0.15151596170383877,
      0.14921232503494428,
      0.14694265995232964,
      0.14470645714152888,
      0.14250321543017708,
      0.1403324413222421,
      0.13819364917102397,
      0.13608636081526618,
      0.1340101056374079,
      0.13196442033270753,
      0.12994884868047138,
      0.1279629417060271,
      0.1260062572788062,
      0.12407836011308905,
      0.12217882161802956,
      0.12030721988271956,
      0.11846313944044852,
      0.11664617119954541,
      0.11485591231125476,
      0.11309196610248334,
      0.11135394200885725,
      0.10964145545736328,
      0.10795412767986895,
      0.10629158562782857,
      0.10465346200749624,
      0.1030393951306746,
      0.10144902874589729,
      0.09988201209113404,
      0.09833799964693604,
      0.09681665117427694,
      0.09531763138868474,
      0.09384061028719275,
      0.09238526279989752,
      0.09095126866834033,
      0.08953831269060446,
      0.08814608428378615,
      0.08677427737411905,
      0.08542259065303773,
      0.08409072741697775,
      0.08277839519431993,
      0.0814853060426589,
      0.08021117628307753,
      0.07895572649419724,
      0.07771868141986374,
      0.07649976997421437,
      0.07529872517895844,
      0.07411528385780145,
      0.07294918688519185,
      0.07180017899792646,
      0.07066800876398992,
      0.06955242838062001,
      0.06845319380073324,
      0.06737006467212772,
      0.06630280414422553,
      0.0652511789548414,
      0.0642149591799138,
      0.06319391831690008,
      0.06218783335537115,
      0.0611964845644725,
      0.060219655394493726,
      0.05925713257138263,
      0.05830870601266547,
      0.05737416870727698,
      0.05645331663889961,
      0.055545948901436444,
      0.054651867549669525,
      0.053770877492663176,
      0.05290278666502541,
      0.05204740569721242,
      0.05120454816897883,
      0.050374030326242235,
      0.049555671053330606,
      0.04874929203000021,
      0.047954717523396535,
      0.047171774361928064,
      0.046400291940849034,
      0.045640102275928886,
      0.04489103975825768,
      0.044152941236413966,
      0.04342564595815644,
      0.04270899556615394,
      0.0420028339752576,
      0.04130700746528085,
      0.04062136449018714,
      0.039945755800912655,
      0.03928003447533582,
      0.03862405559101284,
      0.03797767630032525,
      0.03734075602786626,
      0.0367131561707306,
      0.036094740127861236,
      0.035485373435662305,
      0.0348849234820765,
      0.03429325972436169,
      0.03371025332625228,
      0.03313577755865438,
      0.032569707409808246,
      0.03201191988044378,
      0.03146229367498182,
      0.030920709221201614,
      0.03038704874707756,
      0.029861196253460395,
      0.029343037417336786,
      0.02883245960943781,
      0.02832935179763991,
      0.02783360462855352,
      0.027345110349812678,
      0.026863762796016686,
      0.026389457266315808,
      0.02592209072560479,
      0.025461561509924086,
      0.025007769545832014,
      0.02456061629608469,
      0.02412000455229206,
      0.023685838576190454,
      0.02325802403046071,
      0.02283646787661357,
      0.022421078570912373,
      0.02201176573105409,
      0.021608440597095838,
      0.021211015594562413,
      0.020819404373426643,
      0.020433521737194607,
      0.020053283913647465,
      0.019678608213860742,
      0.019309413249140605,
      0.01894561887956757,
      0.01858714610974363,
      0.01823391698315234,
      0.01788585474727345,
      0.017542883807451427,
      0.017204929710372185,
      0.016871919132591152,
      0.016543779662921164,
      0.01622044004668239,
      0.01590183003367076,
      0.015587880440004365,
      0.015278523023261345,
      0.014973690609218562,
      0.014673317070453879,
      0.014377337111536027,
      0.014085686477459343,
      0.013798301835286218,
      0.013515120729341114,
      0.013236081679951814,
      0.012961124063062605,
      0.012690188216171058,
      0.012423215299724847,
      0.012160147238112958,
      0.011900927000865851,
      0.011645498353453815,
      0.011393805700486705,
      0.011145794484559221,
      0.010901410876771428,
      0.010660601762994026,
      0.010423314866157024,
      0.010189498617653957,
      0.009959102298428711,
      0.009732075865457832,
      0.00950836999722608,
      0.009287936141858012,
      0.009070726492250488,
      0.008856693887293389,
      0.008645791766912849,
      0.008437974358397249,
      0.00823319651570932,
      0.008031413803324427,
      0.007832582353621125,
      0.007636659095462114,
      0.007443601508947396,
      0.007253367655711196,
      0.007065916147993795,
      0.006881206316904919,
      0.0066991980783665745,
      0.006519851947405237,
      0.006343128946956485,
      0.006168990773018819,
      0.005997399485170168,
      0.005828317892108785,
      0.005661709329203847,
      0.005497537699289353,
      0.005335767356362526,
      0.005176363041817683,
      0.005019290140730318,
      0.004864514545797923,
      0.00471200269541934,
      0.004561721441799233,
      0.004413638207191158,
      0.004267721320116763,
      0.004123940883680376,
      0.003982267252243035,
      0.003842670711717987,
      0.003705121547472917,
      0.003569590220137024,
      0.0034360474596446667,
      0.003304464277545714,
      0.0031748120759185635,
      0.0030470626049337165,
      0.002921187941269127,
      0.002797160702963685,
      0.002674953744135713,
      0.002554540315851045,
      0.0024358941649819444,
      0.002318989354347759,
      0.002203800441296039,
      0.002090302161223392,
      0.0019784696847333764,
      0.0018682786091652913,
      0.0017597047991929845,
      0.0016527245212610258,
      0.001547314343852222,
      0.0014434512616993396,
      0.0013411127329820956,
      0.0012402761961960696,
      0.0011409196625275656,
      0.0010430213110924022,
      0.000946559797913121,
      0.0008515140319798377,
      0.0007578632962797256,
      0.0006655871217605406,
      0.0005746653406192173,
      0.00048507808982666434,
      0.0003968056884133943,
      0.00030982888500148226,
      0.00022412866112576804,
      0.0001396862774785258,
      5.6483193953663535e-05,
      -2.5498755058225205e-05,
      -0.00010627745096920759,
      -0.0001858705676224036,
      -0.0002642954817149888,
      -0.00034156937915805354,
      -0.000417709118782408,
      -0.000492731330640941,
      -0.0005666523602553343,
      -0.0006394884664855262,
      -0.0007112555607589118,
      -0.0007819693396787193,
      -0.0008516452066417517,
      -0.00092029847867601,
      -0.000987944090150893,
      -0.0010545969062106648,
      -0.0011202714499509024,
      -0.0011849821124065288,
      -0.001248743037114746,
      -0.0013115680676864404,
      -0.001373470954623686,
      -0.00143446528212505,
      -0.0014945643943882305,
      -0.0015537814604827853,
      -0.001612129399006607,
      -0.0016696209222688235,
      -0.0017262686181156676,
      -0.0017820848911440101,
      -0.0018370819416109543,
      -0.0018912717876778723,
      -0.0019446663126685242,
      -0.001997277120909193,
      -0.0020491157231285755,
      -0.0021001935563530728,
      -0.002150521710682571
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566728976603946,
      10.336310981199691,
      10.097834155688734,
      9.85439381593578,
      9.608478371157826,
      9.36224880735959,
      9.11759211655761,
      8.87608483285537,
      8.638961057120728,
      8.407144098901984,
      8.181264505174168,
      7.961677834492517,
      7.748494139233477,
      7.541615776620391,
      7.3407753982101305,
      7.145576737948303,
      6.95554406360197,
      6.770160028710147,
      6.588897061887917,
      6.4112455668071044,
      6.236732103615733,
      6.064919391899253,
      5.895427498616969,
      5.727947634438604,
      5.562244334931618,
      5.398159443922593,
      5.2356118187978105,
      5.074602054490376,
      4.915200771868014,
      4.757536204004179,
      4.601805614402557,
      4.448269986428028,
      4.297249502351434,
      4.1491233908104395,
      4.004294047308696,
      3.8631657175394563,
      3.7261287774876664,
      3.5935512831012404,
      3.4657674137314713,
      3.3430632997108285,
      3.2256710947350276,
      3.113765864522624,
      3.007464739443612,
      2.9068172686974414,
      2.8118010275717964,
      2.722328376023337,
      2.6382693644523636,
      2.559439114479021,
      2.4856031579291082,
      2.4165206071128225,
      2.3519380355485624,
      2.291567432767204,
      2.235091081903862,
      2.1821627298305555,
      2.132397733016838,
      2.085428046257854,
      2.0409160542129765,
      1.9985480244634783,
      1.9580486588574224,
      1.9191859592637308,
      1.8817764728569848,
      1.845674584363336,
      1.8107598424526572,
      1.776926910701305,
      1.7440888010523625,
      1.7121753652237783,
      1.6811288021429838,
      1.6509001243895203,
      1.6214469239690106,
      1.5927318174426208,
      1.5647210064458519,
      1.5373814455360815,
      1.510682308463825,
      1.4845961381883994,
      1.45909808791148,
      1.4341653855244014,
      1.4097769500924109,
      1.3859131187923681,
      1.362556586710552,
      1.3396919462715362,
      1.3173040804081473,
      1.2953782077710225,
      1.2738999738387178,
      1.25285550223698,
      1.2322314192202044,
      1.2120148621663691,
      1.1921934770719866,
      1.1727554070589776,
      1.1536898377644322,
      1.1349878935798217,
      1.1166415957012368,
      1.0986431998359583,
      1.0809849535497227,
      1.0636590272593098,
      1.0466589647827855,
      1.029979032439945,
      1.0136126846106528,
      0.9975529388063983,
      0.981792616678396,
      0.9663245021263166,
      0.9511414423540946,
      0.9362364107734014,
      0.9216025458634256,
      0.9072331731862276,
      0.8931218171627413,
      0.879262204763027,
      0.865648265126342,
      0.8522741263617708,
      0.8391341107689513,
      0.8262227283843291,
      0.8135346708845081,
      0.8010648044134185,
      0.7888081627908814,
      0.7767599406719881,
      0.764915487290238,
      0.7532702995048294,
      0.7418200160712357,
      0.7305604120253735,
      0.7194873921179575,
      0.7085969865544749,
      0.6978853451993368,
      0.6873487330620625,
      0.6769835253271739,
      0.6667862033671818,
      0.6567533502771526,
      0.6468816467523629,
      0.6371678494398687,
      0.6276087483546791,
      0.6182012344044947,
      0.6089423055756135,
      0.5998290557057258,
      0.5908586665682029,
      0.582028401266168,
      0.5733355989218305,
      0.5647776709283239,
      0.5563520972785742,
      0.5480564234688945,
      0.5398882579411172,
      0.5318452694427436,
      0.5239251847509893,
      0.5161257866468864,
      0.5084449119747068,
      0.5008804496467931,
      0.49342996884128365,
      0.48609085519830403,
      0.4788607456255035,
      0.47173747006026656,
      0.46471900168039115,
      0.45780342312959316,
      0.4509889029348303,
      0.4442736795570992,
      0.4376560500054194,
      0.43113438193436066,
      0.42470735439536733,
      0.41837380833453996,
      0.4121324991667194,
      0.40598210930583645,
      0.3999212825880428,
      0.3939486467635374,
      0.38806282854757307,
      0.38226246281529813,
      0.37654619908446935,
      0.3709127053910179,
      0.3653608526155931,
      0.3598900524092673,
      0.3544996026614901,
      0.34918860886940495,
      0.3439560575682438,
      0.3388007384712853,
      0.3337214324912943,
      0.32871701836347816,
      0.3237863645702033,
      0.3189283405106958,
      0.3141418233147764,
      0.30942570163576644,
      0.3047788786288777,
      0.30020027386242315,
      0.2956888874975256,
      0.2912438055540653,
      0.28686409955250347,
      0.2825488387061961,
      0.2782970819212199,
      0.2741078832927845,
      0.26998029920234956,
      0.2659133930284665,
      0.26190623839416716,
      0.25795792077493357,
      0.2540677938515677,
      0.2502354223258168,
      0.24646023804396586,
      0.24274157009179087,
      0.23907868379582886,
      0.23547080650886476,
      0.2319171451121348,
      0.22841689756581296,
      0.22496926042254572,
      0.22157343380949043,
      0.21822862481536753,
      0.2149340493088019,
      0.2116889222792811,
      0.20849239174418338,
      0.205343605036568,
      0.20224175876013986,
      0.19918608633450685,
      0.19617584946561165,
      0.19321033274304206,
      0.1902888394990171,
      0.18741068922080528,
      0.1845752158708005,
      0.18178176633301882,
      0.17902969947722447,
      0.1763183857483814,
      0.17364720628867447,
      0.1710155526073011,
      0.16842282641594725,
      0.16586843909473784,
      0.16335181166617443,
      0.16087237456445988,
      0.1584295672636111,
      0.15602283822198365,
      0.15365164472926437,
      0.15131545259911472,
      0.14901373605641863,
      0.14674597774275525,
      0.14451166845298313,
      0.14231030693874588,
      0.14014139986189122,
      0.13800446143330664,
      0.1358990134678078,
      0.1338245854354771,
      0.1317807140335017,
      0.12976694313531772,
      0.1277828236850142,
      0.12582791356852188,
      0.12390177753129855,
      0.12200398698992133,
      0.1201341200614247,
      0.11829176127645788,
      0.11647650157967496,
      0.11468793815940873,
      0.11292567444375647,
      0.11118931983654123,
      0.10947848976532015,
      0.10779280546228732,
      0.10613189400634923,
      0.10449538816126598,
      0.10288292625187007,
      0.10129415207768122,
      0.09972871481301043,
      0.09818626900771542,
      0.09666647442160714,
      0.09516899600999,
      0.09369350377438151,
      0.09223967263638531,
      0.0908071824624616,
      0.08939571790191979,
      0.0880049684384723,
      0.08663462819819494,
      0.08528439585261531,
      0.08395397472269998,
      0.08264307241202708,
      0.08135140107241337,
      0.08007867709991319,
      0.07882462106915568,
      0.07758895785043388,
      0.07637141638956157,
      0.07517172962273883,
      0.07398963457459148,
      0.0728248720763575,
      0.07167718696550783,
      0.07054632789224205,
      0.06943204718489941,
      0.06833410076992333,
      0.0672522483178542,
      0.0661862531675362,
      0.06513588197136813,
      0.06410090496336884,
      0.0630810957502589,
      0.062076231395261944,
      0.06108609212627156,
      0.06011046149486057,
      0.059149126286447286,
      0.058201876471515535,
      0.05726850504746894,
      0.05634880812092318,
      0.05544258492191274,
      0.05454963752456672,
      0.05366977097909889,
      0.05280279316219434,
      0.051948514883138674,
      0.05110674964452501,
      0.05027731377896722,
      0.049460026335482396,
      0.04865470898922159,
      0.04786118613866211,
      0.047079284698677636,
      0.04630883408733947,
      0.04554966637180027,
      0.04480161598845538,
      0.04406451985680336,
      0.043338217337550486,
      0.042622550123657406,
      0.041917362190898866,
      0.04122249991336805,
      0.04053781189185409,
      0.039863148860987435,
      0.03919836396082694,
      0.03854331232730894,
      0.037897851272373634,
      0.037261840208342695,
      0.036635140637869545,
      0.03601761609126809,
      0.035409132090789,
      0.034809556014318885,
      0.034218757284311604,
      0.03363660733557745,
      0.03306297945728461,
      0.032497748832877524,
      0.031940792351827146,
      0.031391988743135694,
      0.030851218629659918,
      0.03031836433244786,
      0.029793309831007343,
      0.029275940908028757,
      0.028766145021225917,
      0.028263811226218703,
      0.027768830137316593,
      0.027281094078969965,
      0.026800496900022636,
      0.026326934099626623,
      0.025860302603019403,
      0.02540050094375488,
      0.024947429152923865,
      0.02450098861002787,
      0.024061082204196817,
      0.023627614291420993,
      0.023200490491991677,
      0.02277961796995409,
      0.02236490525450542,
      0.021956262066151748,
      0.0215535995169769,
      0.021156830023235162,
      0.0207658674525375,
      0.020380626760907985,
      0.020001024105165785,
      0.01962697690891607,
      0.01925840381910085,
      0.018895224686220246,
      0.018537360498582355,
      0.018184733568943408,
      0.017837267274640814,
      0.017494885941817754,
      0.017157515235979703,
      0.016825081775301797,
      0.016497513224813277,
      0.01617473841990982,
      0.015856687202021644,
      0.01554329041713262,
      0.015234479873647126,
      0.014930188469643947,
      0.014630350101474525,
      0.014334899563786415,
      0.01404377256719192,
      0.0137569058871497,
      0.013474237179620535,
      0.013195704927488635,
      0.012921248644597632,
      0.012650808695770992,
      0.012384326279285901,
      0.012121743508012517,
      0.011863003252306605,
      0.011608049195913397,
      0.011356826041268192,
      0.011109279165279502,
      0.010865354750324288,
      0.010624999856887028,
      0.010388162184172258,
      0.010154790222030863,
      0.009924833309446582,
      0.009698241486982414,
      0.00947496537060771,
      0.009254956511445667,
      0.009038167078414393,
      0.008824549988723333,
      0.008614058786679464,
      0.0084066477413295,
      0.00820227178143573,
      0.008000886490458197,
      0.00780244809778518,
      0.007606913491380435,
      0.00741424017572585,
      0.007224386295992925,
      0.0070373105755862165,
      0.006852972319516177,
      0.006671331502869127,
      0.006492348581855625,
      0.0063159846567572495,
      0.006142201478040473,
      0.005970961309403234,
      0.005802226893961185,
      0.0056359615369264305,
      0.005472129158921235,
      0.005310694167078098,
      0.005151621436198818,
      0.004994876412547605,
      0.004840425112014203,
      0.004688233910128377,
      0.004538269702916241,
      0.0043904999296382995,
      0.004244892463923211,
      0.004101416626139936,
      0.003960043165056324,
      0.003820742686197918,
      0.003683485727433502,
      0.0035482429105289136,
      0.003414985067580873,
      0.0032836833681940307,
      0.0031543092888383062,
      0.0030268346601820383,
      0.0029012317281034397,
      0.0027774730447402652,
      0.0026555315451862755,
      0.0025353805941067155,
      0.002416993868188539,
      0.0023003454756449853,
      0.002185410013497788,
      0.0020721621816940728,
      0.0019605772944963906,
      0.0018506309416457777,
      0.0017422990135532313,
      0.0016355578547229807,
      0.0015303840817973127,
      0.0014267546316966086,
      0.0013246469002646812,
      0.0012240384878890675,
      0.001124907410665137,
      0.001027231982199465,
      0.0009309908367920506,
      0.0008361629281002265,
      0.0007427274275469021,
      0.0006506638841168871,
      0.0005599522014409512,
      0.00047057253338066,
      0.00038250528256381864,
      0.00029573127149501633,
      0.00021023147628892948,
      0.00012598721300725825,
      4.298000055413017e-05,
      -3.880833371464427e-05,
      -0.00011939575719850464,
      -0.00019879981616493386,
      -0.0002770378384147438,
      -0.00035412703933759214,
      -0.0004300843733507049,
      -0.0005049264222419125,
      -0.000578669492155948,
      -0.0006513297412047487,
      -0.000722922982041736,
      -0.0007934648901496982,
      -0.0008629709576265791,
      -0.0009314563500708165,
      -0.0009989360298089842,
      -0.0010654248656306548,
      -0.0011309374111913464,
      -0.0011954880258050592,
      -0.0012590908290289226,
      -0.0013217596351669037,
      -0.0013835081602510079,
      -0.0014443498850811626,
      -0.0015042982416679255,
      -0.0015633663606271584,
      -0.0016215671037042685,
      -0.0016789132224098659,
      -0.001735417338076664,
      -0.0017910917623162905,
      -0.001845948590015202,
      -0.0018999998995691478,
      -0.00195325760928921,
      -0.0020057332951407903,
      -0.0020574383699739447,
      -0.0021083842618761176,
      -0.0021585819817633153
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566726368368268,
      10.336298436002178,
      10.097805142023207,
      9.854343318492214,
      9.608402352043367,
      9.362144486848905,
      9.11745777058582,
      8.875919927544363,
      8.638765839418634,
      8.406919120212395,
      8.181010436273546,
      7.961395361560688,
      7.748183896468751,
      7.54127827384732,
      7.340410744204135,
      7.1451848574459875,
      6.955124864393235,
      6.7697134190738115,
      6.588422980093727,
      6.410744104419724,
      6.23620362712904,
      6.06436447854292,
      5.89484688110713,
      5.727342275647355,
      5.561615491105196,
      5.39750864912999,
      5.234940912014295,
      5.073913214922647,
      4.914496447464954,
      4.756819002020118,
      4.601078503113659,
      4.447536194312029,
      4.296512989833869,
      4.148388465278907,
      4.003564979388986,
      3.8624466308658296,
      3.725423572547586,
      3.5928637105033343,
      3.4651009024653563,
      3.342420827346892,
      3.2250551559057667,
      3.113178455105682,
      3.006907356088955,
      2.906290766236974,
      2.8113055339776234,
      2.7218633132595276,
      2.6378336926217423,
      2.5590310726589305,
      2.4852206420520297,
      2.4161613750853097,
      2.351599755987845,
      2.2912475809897517,
      2.234787004391157,
      2.1818713241725405,
      2.1321159653451516,
      2.0851531537869534,
      2.040645433585844,
      1.9982794135441841,
      1.9577802544620846,
      1.9189164174933702,
      1.8815048216863752,
      1.8454001109446534,
      1.810482030414107,
      1.7766453943610703,
      1.7438033463550362,
      1.7118858145474134,
      1.680835063743379,
      1.6506021617800302,
      1.621144738915879,
      1.5924254384071066,
      1.5644104930209686,
      1.5370668877811942,
      1.5103637947477306,
      1.4842737557326424,
      1.4587719229713723,
      1.4338355231040183,
      1.4094434740557857,
      1.385576124371812,
      1.3622162036942016,
      1.3393482947526916,
      1.3169572661996798,
      1.2950283264921685,
      1.273547113142445,
      1.252499744159018,
      1.2318728417313112,
      1.2116535404358186,
      1.1918294830154679,
      1.1723888108316698,
      1.1533208539958482,
      1.1346167623952423,
      1.1162685200145475,
      1.0982683409518612,
      1.0806084490700267,
      1.063281105498128,
      1.0462800005953967,
      1.0295992884748282,
      1.0132323489375474,
      0.997172148771645,
      0.981411476363615,
      0.9659430931297222,
      0.9507598305562206,
      0.9358546517933969,
      0.9212206883501457,
      0.9068512612213745,
      0.8927398912715709,
      0.8788803029081776,
      0.8652664237881574,
      0.8518923807410202,
      0.8387524952315819,
      0.8258412767928756,
      0.8131534163596449,
      0.8006837793387395,
      0.7884273990100744,
      0.7763794697776492,
      0.7645353403941121,
      0.7528905073798117,
      0.7414406092584758,
      0.7301814204488842,
      0.7191088455289849,
      0.7082189140254128,
      0.6975077753716062,
      0.6869716939005686,
      0.6766070447563108,
      0.6664103086012833,
      0.6563780679806857,
      0.6465070032933353,
      0.6367938687689273,
      0.6272354540676003,
      0.617828650447313,
      0.6085704559524291,
      0.5994579643072114,
      0.5904883569166911,
      0.5816588963551718,
      0.5729669216074229,
      0.5644098436524106,
      0.55598514193747,
      0.5476903616559017,
      0.5395231108773587,
      0.5314810580028635,
      0.5235619293295241,
      0.5157635071961207,
      0.5080836278068394,
      0.5005201794320192,
      0.4930707903100038,
      0.4857328513117518,
      0.47850397718811394,
      0.47138198273982157,
      0.46436483101329934,
      0.457450597528343,
      0.4506374460561482,
      0.4439236114534314,
      0.4373073882601388,
      0.43078717988821646,
      0.4243617220619228,
      0.4180298303541973,
      0.4117902336745548,
      0.4056415968219838,
      0.39958255160987155,
      0.3936117179383457,
      0.3877277168029008,
      0.3819291795169354,
      0.37621475293075485,
      0.3705831031928509,
      0.3650332029032366,
      0.35956446962186384,
      0.3541761608022237,
      0.3488673549687535,
      0.34363702044109434,
      0.3384839457697193,
      0.3334069244365768,
      0.32840481916393394,
      0.32347648793471684,
      0.3186207930427574,
      0.3138366066306139,
      0.3091228142708298,
      0.3044783171921207,
      0.29990203322647246,
      0.2953929754823776,
      0.2909502301764864,
      0.2865728645225951,
      0.28225994400344323,
      0.2780105243675409,
      0.27382365730173297,
      0.2696983977212848,
      0.26563380804003245,
      0.26162896105630884,
      0.2576829416444291,
      0.25379512574750357,
      0.24996507960023281,
      0.2461922260928657,
      0.2424758883482135,
      0.23881532755398113,
      0.23520976842555888,
      0.23165841606083054,
      0.22816046706218535,
      0.22471511712001535,
      0.22132156572269127,
      0.21797901942522147,
      0.21468669400798138,
      0.21144380130564303,
      0.2082494854764921,
      0.20510289607122098,
      0.20200323116128774,
      0.19894972505488528,
      0.19594164020230112,
      0.19297826161637283,
      0.1900588929744186,
      0.1871828540051504,
      0.18434947857977715,
      0.1815581136790181,
      0.17880811834179683,
      0.1760988629112854,
      0.17342972851203692,
      0.17080010668059717,
      0.16820939907922275,
      0.16565701723483628,
      0.16314238216897542,
      0.16066492414124017,
      0.15822408263236865,
      0.15581930608435193,
      0.1534500517721386,
      0.15111578559760805,
      0.14881598183659425,
      0.14655012308676316,
      0.14431770021964024,
      0.14211821186603674,
      0.13995116452754386,
      0.1378160725831594,
      0.13571245798802525,
      0.13363985017229396,
      0.13159778582870701,
      0.12958580884228513,
      0.12760347013977041,
      0.1256503276431382,
      0.12372594604700418,
      0.12182989684592628,
      0.11996175816669763,
      0.11812111457654244,
      0.11630755695598383,
      0.11452068265903721,
      0.11276009511494886,
      0.11102540369770791,
      0.10931622390070915,
      0.10763217694600151,
      0.10597288997245044,
      0.10433799574008049,
      0.10272713260805186,
      0.10113994446722802,
      0.09957608053838145,
      0.09803519544959802,
      0.09651694895622251,
      0.09502100600881212,
      0.09354703662252328,
      0.09209471592947122,
      0.0906637238349048,
      0.08925374508415698,
      0.08786446905373382,
      0.08649558987024289,
      0.0851468063485386,
      0.08381782173965273,
      0.08250834391086488,
      0.08121808494408786,
      0.07994676123890274,
      0.07869409353547124,
      0.07745980677166911,
      0.0762436298914054,
      0.07504529595694598,
      0.07386454198306083,
      0.07270110891598401,
      0.07155474167416634,
      0.07042518884728653,
      0.06931220275503383,
      0.06821553956106931,
      0.06713495893298443,
      0.06607022415445717,
      0.06502110202775571,
      0.06398736285907483,
      0.0629687804027908,
      0.0619651316877552,
      0.060976197030771305,
      0.06000176009726816,
      0.05904160772944601,
      0.05809552999275233,
      0.057163319919518826,
      0.056244773667735955,
      0.0553396904685175,
      0.054447872563128774,
      0.05356912496324507,
      0.0527032556800566,
      0.05185007560148065,
      0.051009398320063265,
      0.05018104022863678,
      0.04936482045787931,
      0.04856056069393997,
      0.04776808532670743,
      0.046987221404795936,
      0.04621779846716086,
      0.04545964857816951,
      0.044712606308283415,
      0.04397650860687019,
      0.04325119490048488,
      0.04253650698376889,
      0.041832288856176986,
      0.04113838697407599,
      0.04045464995558191,
      0.03978092867876192,
      0.039117076238381565,
      0.038462947946788166,
      0.037818401269643705,
      0.037183295655697626,
      0.0365574925203073,
      0.035940855459179966,
      0.035333250101503746,
      0.03473454399652177,
      0.03414460667236657,
      0.03356330955684276,
      0.03299052605783206,
      0.03242613125055767,
      0.03187000222979443,
      0.031322017909838476,
      0.030782058879543085,
      0.030250007476718955,
      0.029725747754756643,
      0.029209165557788026,
      0.0287001483607462,
      0.028198585268844865,
      0.027704367073820742,
      0.027217386107087623,
      0.02673753638509896,
      0.026264713347508257,
      0.02579881406541771,
      0.025339737112350977,
      0.024887382498431573,
      0.024441651762623088,
      0.02400244783568966,
      0.023569675105682475,
      0.023143239330100818,
      0.022723047712324917,
      0.02230900871656141,
      0.021901032199389558,
      0.021499029327247784,
      0.02110291268187468,
      0.02071259601973694,
      0.020327994400531964,
      0.019949024058010592,
      0.01957560251707216,
      0.019207648563586498,
      0.01884508208519694,
      0.018487824081873005,
      0.01813579686547253,
      0.017788923780650726,
      0.017447129451831793,
      0.017110339468502662,
      0.016778480488291794,
      0.01645148025476386,
      0.01612926766408158,
      0.015811772619995522,
      0.015498926038910977,
      0.015190659865396909,
      0.014886907059987358,
      0.014587601450706388,
      0.014292677906328422,
      0.014002072233599281,
      0.013715721256390688,
      0.013433562682466977,
      0.013155535075676489,
      0.012881577926554144,
      0.012611631637808136,
      0.012345637513155127,
      0.012083537730774098,
      0.011825275218297095,
      0.01157079368337411,
      0.011320037920932861,
      0.011072953329341174,
      0.010829486160851989,
      0.010589583444265003,
      0.01035319294243744,
      0.010120263189129652,
      0.009890743649806341,
      0.009664584224244628,
      0.009441735762665911,
      0.009222149815459624,
      0.00900577869125283,
      0.008792575339772,
      0.008582493281882222,
      0.008375486840430438,
      0.008171510961219578,
      0.007970521258913258,
      0.007772473957207285,
      0.007577326111620024,
      0.0073850352053922005,
      0.0071955594790310065,
      0.007008857670928527,
      0.006824889122697063,
      0.006643613905814766,
      0.006464992601233637,
      0.0062889862720952195,
      0.006115556616080247,
      0.005944665936032997,
      0.005776277074721834,
      0.005610353383546839,
      0.005446858750380612,
      0.0052857576487583295,
      0.005127015074663231,
      0.0049705964347309395,
      0.004816467702934111,
      0.004664595312577489,
      0.00451494634896595,
      0.00436748821022495,
      0.004222188861147223,
      0.004079016847229654,
      0.003937942506985655,
      0.003798936888636746,
      0.0036619708162164677,
      0.00352701508647976,
      0.003394040806152131,
      0.0032630192530059133,
      0.003133922061945514,
      0.00300672113915038,
      0.002881388653311211,
      0.0027578971620834955,
      0.0026362197336076195,
      0.002516329770445338,
      0.002398201077046611,
      0.0022818077759346493,
      0.0021671244033160454,
      0.0020541258282219996,
      0.0019427873511200287,
      0.0018330845558575215,
      0.0017249933985328861,
      0.0016184901765230746,
      0.001513551607355447,
      0.0014101546608278242,
      0.0013082766913772106,
      0.0012078953490074157,
      0.0011089886952450408,
      0.0010115351106231882,
      0.0009155131971423988,
      0.0008209018721835283,
      0.0007276804386137938,
      0.0006358285925422595,
      0.0005453261590427417,
      0.0004561531975403189,
      0.0003682902669942614,
      0.00028171811410690115,
      0.0001964178651450769,
      0.00011237073527823964,
      2.955835588995736e-05,
      -5.2037399477865883e-05,
      -0.00013243444817701288,
      -0.00021165046062768744,
      -0.00028970280876491623,
      -0.0003666084434272354,
      -0.0004423842217147581,
      -0.0005170468396857434,
      -0.0005906125987164206,
      -0.0006630975586800433,
      -0.0007345176391635355,
      -0.0008048885420540421,
      -0.0008742256413655718,
      -0.0009425440881257687,
      -0.001009858838110246,
      -0.0010761846978403105,
      -0.0011415361535750358,
      -0.0012059275683370383,
      -0.0012693730663530661,
      -0.001331886499637653,
      -0.0013934815021538407,
      -0.0014541716453403742,
      -0.0015139702495945498,
      -0.0015728903091670084,
      -0.0016309448552048178,
      -0.0016881465167464017,
      -0.001744507818805047,
      -0.0018000411356914393,
      -0.0018547585489806714,
      -0.0019086721113123664,
      -0.0019617936581720584,
      -0.0020141348162708355,
      -0.002065707023677548,
      -0.0021165215620988762,
      -0.002166589575721818
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566723770610292,
      10.33628593991248,
      10.097776236212205,
      9.854292946546732,
      9.608326445760458,
      9.362040285181827,
      9.117323565909299,
      8.875755052670046,
      8.63857057137984,
      8.406694036955207,
      8.180756231854575,
      7.9611127391243945,
      7.747873497135698,
      7.5409406096730285,
      7.340045934919027,
      7.144792842323588,
      6.954705561771717,
      6.76926674664145,
      6.58794888434418,
      6.410242683499588,
      6.235675249633958,
      6.063809722240416,
      5.894266482577676,
      5.7267372029242765,
      5.5609870038203,
      5.396858282249174,
      5.234270505936621,
      5.07322494987872,
      4.91379277082594,
      4.756102520187897,
      4.600352182931398,
      4.446803261790054,
      4.295777402167651,
      4.147654525546493,
      4.002836953254398,
      3.8617286371191426,
      3.724719505217372,
      3.5921773129760393,
      3.464435597141691,
      3.341779584110222,
      3.2244404624521694,
      3.11259229983093,
      3.0063512286613223,
      2.9057655158394518,
      2.810811283202638,
      2.721399479660179,
      2.637399231455057,
      2.5586242196561835,
      2.484839290216578,
      2.415803280340047,
      2.3512625756210985,
      2.290928782950763,
      2.2344839393525047,
      2.181580894802062,
      2.1318351429487334,
      2.0848791805175004,
      2.0403757115420817,
      1.998011685717524,
      1.9575127217975994,
      1.9186477391170116,
      1.8812340279641089,
      1.8451264904712221,
      1.8102050677367294,
      1.7763647249001953,
      1.7435187370558771,
      1.7115971089880637,
      1.680542171270145,
      1.6503050454603523,
      1.6208434004643109,
      1.592119906523635,
      1.56410082767311,
      1.536753178875559,
      1.5100461307343525,
      1.4839522239940932,
      1.4584466094934827,
      1.433506512647044,
      1.40911085046727,
      1.3852399827882547,
      1.3618766742866046,
      1.3390054976097723,
      1.3166113070464405,
      1.294679300825925,
      1.2731951086623645,
      1.2521448425031307,
      1.2315151205867967,
      1.2112930742408061,
      1.1914663437766952,
      1.172023068547826,
      1.1529527236538333,
      1.134246484329711,
      1.11589629725094,
      1.0978943352153152,
      1.0802327979788753,
      1.0629040372835084,
      1.0459018901323012,
      1.0292203982801935,
      1.0128528668479373,
      0.9967922127131081,
      0.9810311902841318,
      0.9655625378813659,
      0.9503790718283867,
      0.9354737451604874,
      0.9208396824086416,
      0.9064701996865108,
      0.8923588145456357,
      0.8784992491749799,
      0.8648854293804054,
      0.851511480748911,
      0.8383717239966902,
      0.8254606679334359,
      0.8127730027846354,
      0.8003035936583776,
      0.7880474733763639,
      0.77599983568964,
      0.7641560287981137,
      0.7525115488863561,
      0.741062033968159,
      0.7298032581244239,
      0.7187311254528431,
      0.707841665255351,
      0.6971310265544898,
      0.6865954735609592,
      0.6762313805335837,
      0.6660352277491,
      0.6560035975011259,
      0.6461331698087001,
      0.6364206964011048,
      0.6268629661696707,
      0.6174568706128277,
      0.6081994078739498,
      0.5990876717048013,
      0.590118843104007,
      0.5812901845355569,
      0.572599034527498,
      0.5640428037568421,
      0.5556189714152178,
      0.5473250820726606,
      0.5391587431310357,
      0.5311176226022508,
      0.5231994463861614,
      0.5154019964605584,
      0.5077231085965053,
      0.5001606706547461,
      0.4927123696579478,
      0.4853756016597139,
      0.47814795933295834,
      0.47102724262350787,
      0.4640114040673435,
      0.45709851206211427,
      0.45028672542064413,
      0.44357427575128894,
      0.4369594551752012,
      0.43044070843549914,
      0.42401682097346155,
      0.4176865825465081,
      0.4114486962030953,
      0.4053018093348638,
      0.3992445421147946,
      0.3932755064127602,
      0.3873933180601928,
      0.3815966045997552,
      0.3758840104369936,
      0.3702541998002248,
      0.3647062471024525,
      0.3592395756513589,
      0.3538534023280753,
      0.3485467788510975,
      0.34331865587251637,
      0.3381678203619864,
      0.3330930783342886,
      0.32809327647429404,
      0.3231672622786408,
      0.3183138910117903,
      0.31353202996856827,
      0.30882056147492776,
      0.3041783843743467,
      0.29960441687085904,
      0.295097684209736,
      0.29065727115668727,
      0.2862822409773525,
      0.2819716556656716,
      0.27772456773532267,
      0.27354002678094297,
      0.26941708617251314,
      0.26535480726718735,
      0.2613522621237475,
      0.2574085353416416,
      0.2535230249572514,
      0.24969529854373904,
      0.24592477010733615,
      0.2422107566505512,
      0.23855251534365027,
      0.2349492682585667,
      0.23140021865200952,
      0.22790456181200597,
      0.22446149259664827,
      0.22107020996153165,
      0.2177299201230486,
      0.21443983844707873,
      0.21119917379592465,
      0.20800706639686845,
      0.20486266795884966,
      0.20176517801218707,
      0.19871383202434362,
      0.19570789306662056,
      0.19274664652895065,
      0.18982939637441504,
      0.1869554625137622,
      0.18412417897257463,
      0.18133489281968335,
      0.17858696301355007,
      0.17587975982545354,
      0.17321266445518546,
      0.1705850685532579,
      0.16799637370524542,
      0.1654459912839877,
      0.16293334245393426,
      0.1604578574941993,
      0.15801897590211103,
      0.15561614607560037,
      0.15324882528586828,
      0.15091647936241884,
      0.14861858265576136,
      0.14635461774325534,
      0.14412407530404803,
      0.1419264541695709,
      0.13976126096450794,
      0.13762801002439645,
      0.1355262231572596,
      0.1334554297898096,
      0.13141516663338138,
      0.12940497764528164,
      0.1274244138018656,
      0.1254730330262539,
      0.12355040013732901,
      0.12165608659080465,
      0.11978967052731863,
      0.11795073647843243,
      0.11613887542383954,
      0.11435368463327363,
      0.11259476754774898,
      0.11086173369324462,
      0.10915419849948908,
      0.10747178332883128,
      0.10581411535872264,
      0.10418082737560656,
      0.10257155775255397,
      0.10098595040057484,
      0.09942365461811382,
      0.09788432499622998,
      0.09636762148182619,
      0.0948732090584129,
      0.0934007576788627,
      0.09194994249549292,
      0.0905204433823733,
      0.08911194510405106,
      0.08772413729736403,
      0.08635671411387329,
      0.08500937438096759,
      0.08368182145775573,
      0.082373763179826,
      0.08108491177244909,
      0.07981498369317086,
      0.07856369966138027,
      0.07733078461031054,
      0.07611596765468408,
      0.07491898186606531,
      0.07373956425341538,
      0.07257745588203379,
      0.07143240165363453,
      0.07030415031379852,
      0.0691924542600923,
      0.06809706963058268,
      0.06701775622166811,
      0.06595427739982965,
      0.0649064000332087,
      0.06387389443258867,
      0.06285653436556525,
      0.061854097019549255,
      0.060866362748783216,
      0.059893115246301774,
      0.058934141480206426,
      0.05798923154024869,
      0.05705817850252698,
      0.05614077864539514,
      0.055236831356225244,
      0.05434613871890723,
      0.053468505913012526,
      0.05260374102328815,
      0.051751654977858746,
      0.05091206142395213,
      0.050084776848976206,
      0.04926962043278618,
      0.04846641401150296,
      0.04767498205480823,
      0.046895151649733846,
      0.04612675242778063,
      0.04536961649533485,
      0.044623578446493825,
      0.04388847529311541,
      0.043164146537610214,
      0.04245043405165311,
      0.04174718190686177,
      0.04105423663663723,
      0.040371447007977124,
      0.039698663961038765,
      0.0390357406875992,
      0.03838253246942232,
      0.03773889670974115,
      0.03710469299460062,
      0.036479782972149856,
      0.035864030239594884,
      0.035257300415817525,
      0.03465946114222663,
      0.03407038195784826,
      0.033489934471096695,
      0.032917992020994005,
      0.03235442992418617,
      0.03179912533477932,
      0.03125195714035136,
      0.030712805997849448,
      0.03018155426192735,
      0.029658086142673554,
      0.029142287552128877,
      0.02863404593851921,
      0.02813325053987925,
      0.02763979219910076,
      0.027153563357366742,
      0.026674458002367098,
      0.02620237167391971,
      0.02573720147521802,
      0.025278846109387725,
      0.024827205724957013,
      0.02438218183070935,
      0.023943677438265164,
      0.023511596981715413,
      0.02308584629349167,
      0.02266633257919958,
      0.022252964328136487,
      0.021845651610344054,
      0.02144430571483911,
      0.021048839169804566,
      0.020659165813691916,
      0.020275200678689986,
      0.019896860167039346,
      0.01952406187619729,
      0.01915672457512998,
      0.018794768140626673,
      0.018438113739550434,
      0.01808668379985378,
      0.017740401795873835,
      0.017399192164719943,
      0.017062980627242045,
      0.01673169390328684,
      0.016405259857096274,
      0.016083607418180962,
      0.015766666544513,
      0.015454368157837834,
      0.015146644235643162,
      0.014843427779759966,
      0.014544652801792577,
      0.014250254210942974,
      0.013960167844794698,
      0.013674330459614269,
      0.013392679895878605,
      0.013115154834484322,
      0.012841694842672146,
      0.012572240283213213,
      0.012306732449505189,
      0.012045113570819025,
      0.011787326712826457,
      0.011533315687968908,
      0.011283025305858979,
      0.011036400927704318,
      0.010793388818224678,
      0.010553936119194897,
      0.01031799076316137,
      0.010085501358219132,
      0.00985641727251462,
      0.009630688639244616,
      0.009408266282017493,
      0.009189101738089239,
      0.00897314726538272,
      0.008760355788886053,
      0.008550681046668401,
      0.008344077370148454,
      0.008140499835866693,
      0.007939904038079105,
      0.007742246315520155,
      0.0075474836053574385,
      0.007355573535113138,
      0.0071664743008313676,
      0.006980144732213915,
      0.006796544347094959,
      0.006615633033642716,
      0.006437371567400293,
      0.006261721024487351,
      0.00608864320801522,
      0.005918100402540352,
      0.005750055480705258,
      0.005584471827760001,
      0.005421313401312607,
      0.005260544779751264,
      0.005102130903010669,
      0.004946037183142337,
      0.004792229648346071,
      0.004640674968741791,
      0.004491340109256213,
      0.004344192537064155,
      0.004199200106675186,
      0.004056331302646039,
      0.003915555433733353,
      0.003776843804179906,
      0.003640167724066951,
      0.0035054981617413795,
      0.003372806380518643,
      0.0032420638574337003,
      0.00311324226690949,
      0.002986313541085236,
      0.00286125013520683,
      0.0027380246139748353,
      0.0026166101482790003,
      0.0024969800788804905,
      0.0023791082318160416,
      0.002262968815668934,
      0.002148536307450619,
      0.0020357856705478924,
      0.0019246922754629944,
      0.001815231656810316,
      0.0017073798308676726,
      0.001601113226805161,
      0.0014964085878034128,
      0.001393242873310377,
      0.0012915934358387414,
      0.0011914380212594646,
      0.0010927546683957559,
      0.0009955217056873025,
      0.0008997178061406616,
      0.0008053219924798918,
      0.0007123136376321469,
      0.0006206722755178546,
      0.0005303778451813104,
      0.0004414104974611595,
      0.0003537507525094461,
      0.00026737946785669256,
      0.00018227764862455755,
      9.842671028910281e-05,
      1.5808125608766872e-05,
      -6.559617713790813e-05,
      -0.0001458039489126007,
      -0.0002248328294585078,
      -0.0003027002002047802,
      -0.0003794231254788842,
      -0.00045501841938951803,
      -0.0005295026609044112,
      -0.0006028920554487281,
      -0.0006752026574438644,
      -0.0007464504271663241,
      -0.0008166510260567202,
      -0.00088581990377573,
      -0.0009539722570246047,
      -0.0010211228919805634,
      -0.0010872865624233208,
      -0.0011524777095125469,
      -0.0012167106966109698,
      -0.0012799996048082263,
      -0.0013423583646824163,
      -0.0014038006073082878,
      -0.0014643396859219092,
      -0.001523989008527425,
      -0.0015827616194426016,
      -0.0016406704797620386,
      -0.0016977282510088336,
      -0.0017539473765657155,
      -0.001809340226065205,
      -0.0018639188194162126,
      -0.001917695185821026,
      -0.001970681181884909,
      -0.002022888379198805,
      -0.0020743282751897203,
      -0.0021250121346222447,
      -0.0021749511101976306
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566721182617941,
      10.336273491812802,
      10.097747435972408,
      9.854242751308659,
      9.60825079435731,
      9.361936421435324,
      9.117189783632583,
      8.87559064798537,
      8.638375828472793,
      8.406469537460435,
      8.180502673299715,
      7.960830826307059,
      7.747563867016998,
      7.540603772275503,
      7.339682013273177,
      7.144401777931139,
      6.954287269906152,
      6.7688211488119086,
      6.58747593065807,
      6.409742476338146,
      6.2351481545554375,
      6.06325631337469,
      5.893687500341659,
      5.726133616758518,
      5.5603600746791155,
      5.3962095471337586,
      5.233601806339523,
      5.072538466096328,
      4.913090948719309,
      4.7553879653283095,
      4.599627859299312,
      4.446072389238075,
      4.295043930468558,
      4.146922749334651,
      4.002111129025345,
      3.861012872901245,
      3.7240176834980137,
      3.59149316588402,
      3.4637725352689817,
      3.341140567117196,
      3.2238279675729764,
      3.112008306188492,
      3.005797216505456,
      2.905242327197951,
      2.810319035204196,
      2.720937586139728,
      2.636966645516222,
      2.558219175370289,
      2.484459680256626,
      2.4154468614037303,
      2.3509270059492895,
      2.290611533458845,
      2.234182365216261,
      2.1812919040245253,
      2.131555711891151,
      2.084606556651982,
      2.040107302713938,
      1.9977452401381657,
      1.9572464454200562,
      1.9183802952289215,
      1.8809644497694162,
      1.8448540694622446,
      1.809929291048603,
      1.7760852297620349,
      1.7432352917642886,
      1.7113095580582,
      1.6802504242084915,
      1.6500090665936686,
      1.620543192486686,
      1.5918154986263562,
      1.563792279923914,
      1.53644058169985,
      1.5097295728034994,
      1.4836317926108242,
      1.4581223905642433,
      1.4331785916124375,
      1.4087793114929554,
      1.3849049216246982,
      1.3615382203840765,
      1.338663771491136,
      1.3162664142423013,
      1.294331336415023,
      1.272844160715292,
      1.2517909934100362,
      1.2311584483012337,
      1.2109336534371657,
      1.1911042470219866,
      1.1716583658079023,
      1.1525856301016135,
      1.1338772401941266,
      1.1155251054641229,
      1.0975213568089761,
      1.0798581704449255,
      1.0625279893933666,
      1.0455247970015493,
      1.028842521958314,
      1.0124743946044465,
      0.996413281855697,
      0.9806519046987514,
      0.9651829790650642,
      0.9499993059573485,
      0.9350938276284387,
      0.9204596616234815,
      0.9060901194192728,
      0.891978715090502,
      0.8781191684416216,
      0.8645054036666742,
      0.8511315452963343,
      0.8379919129241284,
      0.8250810147692043,
      0.8123935406825262,
      0.7999243551457755,
      0.7876684904990738,
      0.7756211402734765,
      0.7637776522939069,
      0.7521335219259907,
      0.7406843867997499,
      0.7294260205043851,
      0.7183543268078312,
      0.7074653345042957,
      0.6967551921503772,
      0.68622016347242,
      0.6758566224715893,
      0.6656610490040563,
      0.6556300247967415,
      0.6457602293756902,
      0.6360484123377186,
      0.6264913619178443,
      0.6170859700177299,
      0.6078292347118375,
      0.5987182498149153,
      0.5897501962337756,
      0.5809223358235215,
      0.5722320066643778,
      0.5636766190382634,
      0.555253651710089,
      0.5469606490139779,
      0.5387952177655775,
      0.5307550254909009,
      0.5228377976972413,
      0.5150413158274462,
      0.5073634153756669,
      0.4998019836686453,
      0.4923547668714337,
      0.4850191660957658,
      0.47779275176140384,
      0.47067330857992196,
      0.463658778908034,
      0.4567472241480003,
      0.4499367982554779,
      0.44322572943741095,
      0.436612307446138,
      0.4300950471930964,
      0.4236727486315574,
      0.4173441738042119,
      0.41110800256983215,
      0.4049628669014529,
      0.39890737654405517,
      0.39294013638850217,
      0.38705975725774133,
      0.3812648634057661,
      0.37555409689092656,
      0.36992612685608783,
      0.36438012598472136,
      0.35891551697239293,
      0.3535314772848058,
      0.3482270324739155,
      0.343001115991217,
      0.33785252600677007,
      0.332780064872426,
      0.3277825651374739,
      0.322858864642971,
      0.3180078122181363,
      0.3132282708731706,
      0.3085191199797627,
      0.3038792563621865,
      0.2993076042127984,
      0.2948031978534942,
      0.2903651152429652,
      0.28599241685654436,
      0.28168416165023835,
      0.27743939939901086,
      0.27325717793215987,
      0.2691365493482694,
      0.26507657402942264,
      0.2610763234258441,
      0.25713489291542835,
      0.2532516969277441,
      0.24942629292676122,
      0.24565808817419157,
      0.24194639521827965,
      0.2382904680927458,
      0.23468952663013584,
      0.23114277263313845,
      0.22764940042153833,
      0.22420860409834453,
      0.22081958218764222,
      0.21748154046396595,
      0.21419369406695163,
      0.2109552490868451,
      0.20776534177836647,
      0.20462312615815018,
      0.2015278032638849,
      0.19847860936420791,
      0.19547480817469887,
      0.19251568558648297,
      0.18960054587108013,
      0.18672870913107587,
      0.1838995094546125,
      0.1811122939320568,
      0.17836642166712394,
      0.1756612630851011,
      0.17299619925575033,
      0.17037062171324854,
      0.1677839321362843,
      0.165235541933145,
      0.16272487206057162,
      0.16025135295647797,
      0.1578144239687132,
      0.1554135335453418,
      0.153048138952469,
      0.1507177060668688,
      0.148421709153725,
      0.14615963083874137,
      0.14393096185555812,
      0.1417352009561885,
      0.1395718547098586,
      0.13744043752189078,
      0.13534047136345795,
      0.13327148566344968,
      0.13123301708851773,
      0.12922460954201453,
      0.12724581399992266,
      0.1252961884638551,
      0.12337529772535231,
      0.12148271324668068,
      0.11961801318926528,
      0.11778078218961881,
      0.11597061115572886,
      0.11418709749657606,
      0.11242984463451312,
      0.11069846210950889,
      0.10899256537855986,
      0.1073117759589518,
      0.10565572093584388,
      0.10402403309917982,
      0.10241635088250695,
      0.10083231825122044,
      0.09927158453259766,
      0.09773380442292712,
      0.09621863784097309,
      0.0947257498562248,
      0.0932548105459528,
      0.09180549495167432,
      0.09037748305271551,
      0.08897045973799632,
      0.08758411458443431,
      0.08621814186193051,
      0.08487224043674864,
      0.08354611365299769,
      0.08223946936652327,
      0.08095201984500087,
      0.07968348167442452,
      0.07843357563290924,
      0.0772020267863966,
      0.0759885642049632,
      0.07479292104352674,
      0.07361483445893213,
      0.07245404554476437,
      0.0713102992516717,
      0.07018334429608081,
      0.06907293323233278,
      0.06797882231886627,
      0.06690077132187153,
      0.06583854367843489,
      0.06479190633276685,
      0.06376062952777117,
      0.06274448715602522,
      0.0617432564595498,
      0.06075671784342315,
      0.0597846551943402,
      0.058826855432677454,
      0.05788310873748514,
      0.05695320826167424,
      0.056036950316637475,
      0.05513413434582483,
      0.054244562601393605,
      0.05336804031822741,
      0.0525043756285652,
      0.051653379481291124,
      0.05081486563200856,
      0.04998865055487495,
      0.049174553552250595,
      0.048372396566298256,
      0.04758200407398368,
      0.04680320320125566,
      0.04603582359612331,
      0.04527969758204163,
      0.04453465972273222,
      0.0438005471116257,
      0.0430771994131914,
      0.04236445855467419,
      0.04166216875089289,
      0.0409701764929687,
      0.04028833050145206,
      0.03961648185015151,
      0.038954483742599716,
      0.03830219162116004,
      0.03765946308445123,
      0.037026157631463136,
      0.036402136880792156,
      0.03578726465153507,
      0.03518140659769312,
      0.03458443048597548,
      0.033996205959985884,
      0.033416604543710225,
      0.03284549976712112,
      0.03228276686322146,
      0.031728283085947676,
      0.03118192738998545,
      0.03064358059430364,
      0.030113125145720603,
      0.029590445327735207,
      0.029075426992914162,
      0.028567957702204452,
      0.02806792679462677,
      0.027575225100846215,
      0.02708974520361554,
      0.02661138116408422,
      0.02614002857207319,
      0.025675584563891345,
      0.02521794791007256,
      0.024767018701872395,
      0.024322698660367608,
      0.023884890777296094,
      0.02345349963534475,
      0.023028431123854613,
      0.022609592458407705,
      0.02219689237123458,
      0.021790240925674827,
      0.021389549361329353,
      0.020994730210886114,
      0.020605697390345065,
      0.020222366020874932,
      0.01984465254792961,
      0.019472474713278388,
      0.019105751321627753,
      0.018744402438090186,
      0.01838834914492746,
      0.018037513836673343,
      0.017691819992305863,
      0.017351192333652874,
      0.017015556606655734,
      0.01668483957036552,
      0.01635896915516431,
      0.01603787430114595,
      0.015721484972212364,
      0.015409732225244905,
      0.015102548028661393,
      0.014799865542966114,
      0.014501618769621215,
      0.014207742642198595,
      0.013918173108483867,
      0.013632847101897584,
      0.0133517024150793,
      0.013074677666029787,
      0.012801712426132674,
      0.012532747269599905,
      0.012267723578608124,
      0.012006583605898574,
      0.01174927033756861,
      0.011495727746432918,
      0.011245900565854009,
      0.0109997342893588,
      0.010757175344740303,
      0.01051817082688759,
      0.010282668690878518,
      0.010050617592318479,
      0.009821966927708953,
      0.009596666864933993,
      0.009374668294013252,
      0.009155922863506853,
      0.008940382822534069,
      0.008728001342543487,
      0.008518732078838517,
      0.008312529383318614,
      0.008109348348002544,
      0.007909144615987289,
      0.007711874595584428,
      0.0075174952510105855,
      0.007325964270604444,
      0.007137239939061546,
      0.006951281126477901,
      0.006768047285826798,
      0.006587498414647699,
      0.006409595229114149,
      0.006234298984181671,
      0.006061571467966336,
      0.005891374985278898,
      0.005723672476964689,
      0.005558427354900603,
      0.0053956036127862875,
      0.00523516582611884,
      0.005077079018623564,
      0.004921308792199422,
      0.004767821172810958,
      0.004616582604287397,
      0.004467560185737909,
      0.0043207214976751325,
      0.0041760344494454595,
      0.00403346752229163,
      0.0038929897091186604,
      0.0037545712831297856,
      0.0036181839422794984,
      0.0034837992477227482,
      0.0033513887031149862,
      0.0032209239291894802,
      0.0030923766728571263,
      0.0029657189955061393,
      0.002840923443249242,
      0.0027179626844409063,
      0.0025968098607571386,
      0.0024774384623671496,
      0.0023598222494804902,
      0.002243935492705224,
      0.002129752744966988,
      0.0020172490277881204,
      0.0019063996759972278,
      0.0017971802409572986,
      0.0016895668334661847,
      0.0015835358708213463,
      0.0014790640226043181,
      0.0013761284116015195,
      0.001274706396884663,
      0.001174775745625019,
      0.0010763145267168174,
      0.0009793011200422014,
      0.0008837143289977142,
      0.0007895330617973,
      0.0006967366622132096,
      0.0006053047393333863,
      0.0005152173356286669,
      0.00042645463230184293,
      0.0003389970878399978,
      0.0002528255457596114,
      0.00016792119750792404,
      8.42653304181265e-05,
      1.839610697321035e-06,
      -7.937403320147453e-05,
      -0.00015939346883262726,
      -0.00023823613712518758,
      -0.00031591943283284846,
      -0.00039246040994722934,
      -0.00046787593802632293,
      -0.0005421825199854492,
      -0.0006153965097121517,
      -0.0006875339218935421,
      -0.0007586104630093557,
      -0.0008286418220627916,
      -0.0008976434076271764,
      -0.0009656303766203508,
      -0.001032617655608586,
      -0.0010986199422806636,
      -0.0011636516420854368,
      -0.0012277270903696105,
      -0.0012908603540454444,
      -0.0013530652678814257,
      -0.0014143554758734279,
      -0.001474744478817752,
      -0.0015342455024562845,
      -0.0015928715751492143,
      -0.0016506355660684821,
      -0.0017075501722554024,
      -0.0017636278794008176,
      -0.0018188810107240033,
      -0.0018733217119331611,
      -0.0019269619161118962,
      -0.001979813288797506,
      -0.002031887509198616,
      -0.002083196067922094,
      -0.0021337501529256953,
      -0.002183560821015186
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56671860540847,
      10.336261092109053,
      10.097718743791898,
      9.85419273942534,
      9.608175410323554,
      9.36183291553863,
      9.117056457543404,
      8.875426802315632,
      8.638181746947723,
      8.40624580391307,
      8.180249985768906,
      7.9605498902314,
      7.747255318680179,
      7.54026812176423,
      7.33931938329198,
      7.1440121109344386,
      6.9538704825311815,
      6.768377162998343,
      6.5870046970336364,
      6.409244096355298,
      6.234622994441425,
      6.062704950557932,
      5.893110677365127,
      5.725532304512256,
      5.559735534130859,
      5.395563314608184,
      5.232935723053796,
      5.071854708829411,
      4.912391958530761,
      4.754676352584839,
      4.598906589844567,
      4.4453446724123005,
      4.294313703095406,
      4.146194291418106,
      4.0013886800595095,
      3.8603005244952406,
      3.723319309497084,
      3.5908124875810836,
      3.463112945308664,
      3.340505008228697,
      3.223218899962682,
      3.111427693278408,
      3.0052465259775807,
      2.904722390157091,
      2.8098299609684525,
      2.720478783182358,
      2.6365370630646234,
      2.557817046136366,
      2.484082896729558,
      2.4150931807944294,
      2.3505940882550562,
      2.290296853010297,
      2.2338832815870795,
      2.181005331536788,
      2.1312786340144267,
      2.084336227921821,
      2.039841137572642,
      1.9974809938534064,
      1.956982329806557,
      1.918114978284323,
      1.8806969685592474,
      1.8445837182656746,
      1.8096555596346664,
      1.7758077580528242,
      1.7429538503604682,
      1.7110239932241287,
      1.6799606472944284,
      1.6497150430401413,
      1.6202449255654026,
      1.5915130185783786,
      1.563485647669389,
      1.5361298885656751,
      1.509414908353514,
      1.4833132448208746,
      1.4578000466019545,
      1.4328525368290341,
      1.40844962998136,
      1.3845717090734897,
      1.3612016070515334,
      1.3383238776400956,
      1.3159233462067244,
      1.2939851895077719,
      1.2724950225148175,
      1.2514389463036315,
      1.2308035704187512,
      1.2105760196515893,
      1.1907439297100995,
      1.1712954354200642,
      1.152220302356064,
      1.1335097557201625,
      1.1151556673950558,
      1.0971501266842312,
      1.0794852860090722,
      1.0621536791070083,
      1.0451494360691773,
      1.0284663727630452,
      1.0120976450942651,
      0.9960360697999663,
      0.980274333972426,
      0.9648051307804558,
      0.9496212459866217,
      0.9347156114946268,
      0.9200813377859918,
      0.9057117316202203,
      0.8916003039193603,
      0.8777407722222335,
      0.8641270589231155,
      0.850753287561491,
      0.8376137765699652,
      0.8247030333337586,
      0.8120157470842839,
      0.799546781785003,
      0.7872911694511157,
      0.775244102912673,
      0.7634009294664326,
      0.7517571445705026,
      0.7403083852119395,
      0.7290504244814178,
      0.7179791657576513,
      0.707090637495163,
      0.6963809879260804,
      0.6858464801026127,
      0.6754834876537649,
      0.6652884900771059,
      0.6552580687205107,
      0.6453889027026007,
      0.6356777391658618,
      0.6261213658999969,
      0.6167166751409927,
      0.6074606647481584,
      0.5983504281717847,
      0.5893831462553366,
      0.5805560808810446,
      0.5718665694529186,
      0.5633120217548286,
      0.5548899163264546,
      0.5465977970337085,
      0.538433270508922,
      0.5303940036861026,
      0.522477721624406,
      0.5146822052268731,
      0.507005289399569,
      0.4994448612337404,
      0.49199872485843316,
      0.4846642882386848,
      0.47743909942844304,
      0.47032092781994234,
      0.46330770545568023,
      0.45639748645592,
      0.4495884198864044,
      0.44287873036653647,
      0.43626670532212625,
      0.4297509304081969,
      0.42333021967460377,
      0.41700330667728525,
      0.4107688485319011,
      0.40462546175410197,
      0.39857174569702114,
      0.3926062981547478,
      0.3867277254071443,
      0.3809346481726317,
      0.3752257062448937,
      0.36959962073473207,
      0.36405563719692874,
      0.35859313100998574,
      0.353211248962108,
      0.3479089963307308,
      0.3426852926629661,
      0.3375389514142792,
      0.3324687708921284,
      0.3274735706439155,
      0.322552179724884,
      0.3177034410747979,
      0.3129262138335539,
      0.3082193745891171,
      0.30358181842996956,
      0.2990124754248724,
      0.2945103891010487,
      0.2900746304967078,
      0.2857042572712841,
      0.28139832541797966,
      0.2771558819964792,
      0.27297597306806,
      0.2688576495200431,
      0.26479997095876295,
      0.26080200815871907,
      0.25686286778111567,
      0.2529819801376058,
      0.24915889256907414,
      0.24539300552737542,
      0.24168362686291592,
      0.23803000755871032,
      0.23443136542016582,
      0.23088690065200715,
      0.2273958066264401,
      0.22395727686463107,
      0.22057050935237818,
      0.21723470955712926,
      0.21394909236204435,
      0.21071286102971945,
      0.2075251478887472,
      0.20438510909359875,
      0.2012919471843153,
      0.19824489956890523,
      0.19524323057715914,
      0.19228622640689122,
      0.1893731915448884,
      0.18650344625606205,
      0.18367632482631266,
      0.18089117441377794,
      0.17814735417382757,
      0.17544423433752665,
      0.17278119609308595,
      0.1701576310552629,
      0.16757294084979069,
      0.16502653698362124,
      0.16251784047277573,
      0.1600462815963058,
      0.15761129981409094,
      0.15521234346652904,
      0.15284886973981807,
      0.15052034455283772,
      0.14822624223917513,
      0.14596604530904328,
      0.14373924459033185,
      0.1415453388204431,
      0.13938383458485787,
      0.13725424627193386,
      0.13515609584658322,
      0.13308891269722548,
      0.13105223346616196,
      0.12904560218156874,
      0.12706856994093244,
      0.12512069469856024,
      0.12320154117593102,
      0.12131068090066582,
      0.11944769205058334,
      0.11761215928020337,
      0.11580367356762156,
      0.11402183227885235,
      0.11226623891499368,
      0.11053650312110969,
      0.10883224037769923,
      0.10715307202922857,
      0.10549862529978282,
      0.1038685330992818,
      0.10226243384836489,
      0.10067997151873989,
      0.09912079559048886,
      0.097584560639551,
      0.09607092660412359,
      0.09457955863647083,
      0.09311012692180082,
      0.09166230655889059,
      0.09023577759715141,
      0.08883022495129886,
      0.08744533821792064,
      0.08608081175989102,
      0.0847363444668255,
      0.0834116397764426,
      0.08210640555596878,
      0.08082035412638923,
      0.07955320216252093,
      0.07830467046212047,
      0.07707448408915507,
      0.07586237223962364,
      0.07466806810954242,
      0.07349130885339669,
      0.07233183568426313,
      0.07118939350172936,
      0.07006373115051796,
      0.06895460121594311,
      0.06786176003678462,
      0.06678496742307138,
      0.06572398691807926,
      0.0646785855551256,
      0.06364853371651123,
      0.0626336053323155,
      0.06163357771036204,
      0.060648231302584066,
      0.059677349893141995,
      0.05872072053181601,
      0.0577781334380749,
      0.05684938189774155,
      0.05593426240677709,
      0.055032574241420995,
      0.054144119834183685,
      0.0532687044488773,
      0.052406136368961624,
      0.051556226664765344,
      0.05071878906304447,
      0.04989364011648423,
      0.049080599179637495,
      0.04827948819553617,
      0.04749013176551424,
      0.04671235706676409,
      0.045945993922852146,
      0.04519087459153256,
      0.04444683383549715,
      0.04371370878606114,
      0.04299133913117794,
      0.0422795667623922,
      0.04157823606041134,
      0.04088719365567099,
      0.04020628826407654,
      0.03953537100486854,
      0.03887429518364609,
      0.038222916296724474,
      0.037581091894933964,
      0.03694868166778624,
      0.03632554734201729,
      0.03571155274074502,
      0.03510656372005422,
      0.034510447986342056,
      0.033923075264243215,
      0.03334431718917497,
      0.032774047356685286,
      0.03221214106786769,
      0.03165847557420917,
      0.031112929938596396,
      0.03057538495441502,
      0.030045723207983217,
      0.029523828995255023,
      0.029009588277077638,
      0.028502888716974848,
      0.028003619674741874,
      0.027511672225744147,
      0.027026938881382676,
      0.02654931373513883,
      0.026078692436494775,
      0.025614972259976027,
      0.025158051894131252,
      0.02470783168797689,
      0.024264213229183425,
      0.02382709968445968,
      0.02339639561759297,
      0.022972007010545057,
      0.022553841245465722,
      0.02214180695829066,
      0.021735814285598013,
      0.021335774608070013,
      0.020941600521753815,
      0.020553206068350476,
      0.020170506430270713,
      0.019793418075786752,
      0.019421858679821463,
      0.019055747125917635,
      0.018695003602166416,
      0.018339549275680038,
      0.0179893065753761,
      0.017644199161584027,
      0.01730415172883995,
      0.016969089914128217,
      0.01663894067368611,
      0.016313631913884536,
      0.015993092622171676,
      0.015677252868722017,
      0.015366043882163817,
      0.01505939770368101,
      0.014757247448565028,
      0.014459527043997228,
      0.014166171574609051,
      0.013877117084845868,
      0.013592300506452258,
      0.013311659621152886,
      0.013035133242961868,
      0.012762661035334504,
      0.012494183554564735,
      0.012229642194798766,
      0.011968979250790684,
      0.011712137799660472,
      0.011459061814901129,
      0.011209696169133957,
      0.01096398644347524,
      0.010721879095768324,
      0.010483321224955426,
      0.010248260700735938,
      0.010016646347266107,
      0.009788427570531926,
      0.009563554547965316,
      0.009341978350903342,
      0.009123650651021956,
      0.008908523759637051,
      0.00869655072044303,
      0.008487685239939183,
      0.00828188188102489,
      0.00807909571291764,
      0.007879282453046966,
      0.007682398604815514,
      0.007488401166118633,
      0.007297247848707478,
      0.007108896982302109,
      0.006923307395310175,
      0.006740438647976188,
      0.0065602507143512545,
      0.006382704378927597,
      0.006207760961722046,
      0.006035382236395075,
      0.005865530611132561,
      0.005698169127450806,
      0.005533261257664004,
      0.005370770990830893,
      0.005210662863011575,
      0.005052901996170401,
      0.004897453974014654,
      0.004744284904297086,
      0.004593361164560234,
      0.004444649957594623,
      0.004298118896125931,
      0.004153736035006429,
      0.004011469847293441,
      0.003871289291568164,
      0.003733163918983236,
      0.0035970649558504024,
      0.0034629644211079122,
      0.003330834202524761,
      0.0032006460669539035,
      0.003072372103163558,
      0.0029459844914905475,
      0.0028214557508860444,
      0.002698758623973925,
      0.0025778663713868534,
      0.0024587525075845736,
      0.0023413908877311304,
      0.0022257557325320158,
      0.0021118216856642735,
      0.0019995637272600857,
      0.0018889572473815438,
      0.0017799779556982814,
      0.00167260191979412,
      0.0015668055475202061,
      0.001462565634257344,
      0.0013598592019571627,
      0.0012586637206771034,
      0.001158956886257958,
      0.0010607169148510842,
      0.0009639222281021386,
      0.0008685515275241316,
      0.0007745838954184408,
      0.0006819986746872342,
      0.0005907754892058596,
      0.00050089438037313,
      0.0004123355187162003,
      0.00032507945692085996,
      0.00023910705984810354,
      0.0001543993720374778,
      7.093782322565918e-05,
      -1.129583178930969e-05,
      -9.231970566587981e-05,
      -0.00017215159513457275,
      -0.0002508090191347775,
      -0.0003283092685331924,
      -0.0004046694230187805,
      -0.00047990622096591825,
      -0.0005540361633390062,
      -0.0006270755466480775,
      -0.000699040520705921,
      -0.0007699467510958857,
      -0.0008398098179128042,
      -0.0009086450987722864,
      -0.0009764675938383442,
      -0.0010432923155365812,
      -0.0011091339529967113,
      -0.001174006968014187,
      -0.0012379255309221324,
      -0.001300903849718742,
      -0.0013629557041523804,
      -0.0014240947354478679,
      -0.0014843342960561402,
      -0.001543687597650243,
      -0.0016021677563523905,
      -0.001659787583730687,
      -0.0017165597515790792,
      -0.001772496765164149,
      -0.0018276108534267157,
      -0.0018819141441842836,
      -0.0019354184317069392,
      -0.001988135598637097,
      -0.002040077287015053,
      -0.002091254886931958,
      -0.0021416795430425728,
      -0.002191362357284246
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56671603755772,
      10.336248739683947,
      10.097690158914691,
      9.854142904631525,
      9.608100277211165,
      9.3617297385023,
      9.116923539780176,
      8.8752634458996,
      8.637988238527676,
      8.406022727754817,
      8.179998040034434,
      7.960269781162006,
      7.746947682860503,
      7.5399334684625865,
      7.338957833082091,
      7.143623605317247,
      6.953454939443586,
      6.767934505719503,
      6.586534877818617,
      6.408747218785106,
      6.234099426085324,
      6.062155268356479,
      5.892535623523388,
      5.72493285056177,
      5.559112943125315,
      5.394919122781336,
      5.232271769532291,
      5.071173169524487,
      4.911695199691219,
      4.753966994286955,
      4.598187604142697,
      4.444619266699039,
      4.29358581044123,
      4.145468186964251,
      4.000668598374535,
      3.8595905504451373,
      3.7226233402264284,
      3.5901342638702722,
      3.462455843386627,
      3.339871954896069,
      3.222612341744693,
      3.110849581579491,
      3.0046983157982767,
      2.9042049008796633,
      2.809343291931468,
      2.720022335623526,
      2.6361097810061818,
      2.557417158978901,
      2.483708295124298,
      2.4147416212451307,
      2.3502632321207173,
      2.2899841772448197,
      2.233586148882661,
      2.180720660672366,
      2.131003413038552,
      2.084067715890087,
      2.039576754087977,
      1.9972184987089419,
      1.95671993808112,
      1.9178513610739236,
      1.8804311659691286,
      1.84431502725841,
      1.809383472418208,
      1.775531916298225,
      1.7426740257162496,
      1.7107400331566418,
      1.6796724636366025,
      1.6494226015474729,
      1.619948230514221,
      1.591212100879941,
      1.563180568674769,
      1.5358207394313652,
      1.5091017785270289,
      1.482996223176667,
      1.4574792203848415,
      1.4325279920650604,
      1.4081214516751752,
      1.3842399933460492,
      1.3608664839065505,
      1.3379854680221408,
      1.3155817560802685,
      1.2936405147449719,
      1.2721473516696866,
      1.2510883622372262,
      1.2304501513824817,
      1.2102198409969513,
      1.1903850639851965,
      1.1709339530893075,
      1.151856419245937,
      1.133143712710482,
      1.1147876678577717,
      1.0967803321798442,
      1.0791138340831405,
      1.0617808535697033,
      1.0447755916341326,
      1.0280917586552067,
      1.0117224405021261,
      0.995660406690094,
      0.9798983124952176,
      0.9644288299855759,
      0.9492447301680214,
      0.9343389353816852,
      0.9197045495702147,
      0.9053348748917687,
      0.8912234188217781,
      0.8773638967941678,
      0.8637502299170848,
      0.8503765403351892,
      0.8372371456773624,
      0.8243265525959695,
      0.8116394497005595,
      0.799170700382595,
      0.7869153360735163,
      0.7748685493030268,
      0.7630256870108281,
      0.7513822441553579,
      0.7399338575806412,
      0.7286762995642334,
      0.7176054733402331,
      0.7067174065806409,
      0.696008246952147,
      0.6854742573525886,
      0.675111810998488,
      0.6649173870386116,
      0.6548875663239171,
      0.6450190274974298,
      0.6353085153560364,
      0.6257528171490022,
      0.6163488253498801,
      0.6070935379122434,
      0.5979840481289638,
      0.5890175363515217,
      0.580191264060403,
      0.57150256859451,
      0.5629488594181541,
      0.554527614515825,
      0.546236377311268,
      0.5380727539728174,
      0.5300344110441921,
      0.5221190730826706,
      0.5143245206508377,
      0.5066485880374231,
      0.49908916186437646,
      0.49164407713736846,
      0.4843107857125832,
      0.47708680961533806,
      0.4699699009633001,
      0.4629579800520147,
      0.4560490930845019,
      0.4492413833794658,
      0.44253307175174356,
      0.4359224718994068,
      0.42940822958902697,
      0.4229891411787028,
      0.41666391218559673,
      0.4104311808963722,
      0.40428955115989085,
      0.3982376138679857,
      0.39227396102413614,
      0.386397194848189,
      0.38060593350775346,
      0.37489881474940145,
      0.3692746116377983,
      0.363732642403459,
      0.3582722356469155,
      0.35289250755773305,
      0.3475924429366408,
      0.3423709478200519,
      0.33722685097228683,
      0.3321589468961156,
      0.3271660419184349,
      0.3222469565350615,
      0.3174005276409154,
      0.3126256103250078,
      0.3079210784894092,
      0.30328582539308796,
      0.298718787141511,
      0.29421901638521814,
      0.28978557745179406,
      0.28541752511495944,
      0.28111391244969447,
      0.2768737839216322,
      0.272696183614814,
      0.2685801611229886,
      0.26452477529603247,
      0.26052909625105186,
      0.2565922418746561,
      0.25271365841653065,
      0.24889288303557222,
      0.2451293093141976,
      0.24142224058605546,
      0.237770924697643,
      0.2341745772899981,
      0.2306323972386954,
      0.22714357705940488,
      0.22370730948988304,
      0.2203227920306203,
      0.21698922989477096,
      0.21370583763462175,
      0.2104718155214597,
      0.20728629211132188,
      0.20414842584998105,
      0.20105742074272454,
      0.19801251507117065,
      0.1950129738689195,
      0.19205808375501543,
      0.18914714953366274,
      0.18627949164537932,
      0.18345444452399656,
      0.1806713553587218,
      0.1779295832055346,
      0.17522849848427646,
      0.1725674823128468,
      0.16994592631276148,
      0.16736323201485653,
      0.16481881087467898,
      0.16231208376570688,
      0.15984248122867625,
      0.15740944275300717,
      0.15501241660373344,
      0.15265085996371364,
      0.1503242386674033,
      0.1480320270155468,
      0.14577370768277836,
      0.14354877139424238,
      0.1413567169175177,
      0.1391970508480063,
      0.1370692876460646,
      0.13497294926417244,
      0.1329075650443313,
      0.13087267162411648,
      0.12886781306830533,
      0.12689254047575782,
      0.12494641188109265,
      0.12302899200578798,
      0.12113985240522969,
      0.11927857131867016,
      0.11744473336847498,
      0.11563792961662127,
      0.1138577574507655,
      0.11210382035045063,
      0.1103757278384038,
      0.10867309553369464,
      0.10699554484339262,
      0.10534270302296873,
      0.10371420306494217,
      0.10210968338383311,
      0.1005287880538315,
      0.09897116641600161,
      0.09743647320592948,
      0.09592436848331402,
      0.09443451736970893,
      0.09296659012151974,
      0.09152026180698443,
      0.09009521254051475,
      0.08869112728899058,
      0.08730769580927894,
      0.08594461243747004,
      0.08460157610031512,
      0.08327829030788546,
      0.08197446298753458,
      0.0806898064954782,
      0.07942403744051633,
      0.07817687681539437,
      0.07694804969863708,
      0.07573728530167446,
      0.07454431694146926,
      0.07336888179296998,
      0.07221072103347646,
      0.0710695798680521,
      0.06994520714337221,
      0.06883735542979372,
      0.06774578105917015,
      0.06667024402707629,
      0.06561050794374479,
      0.0645663396830553,
      0.06353750985123495,
      0.06252379251894775,
      0.06152496491197196,
      0.060540807625613965,
      0.059571104654159886,
      0.058615642987891646,
      0.05767421287328167,
      0.05674660772560139,
      0.05583262397070379,
      0.05493206109556506,
      0.054044721531556664,
      0.05317041059053264,
      0.05230893655797562,
      0.051460110631686644,
      0.05062374658533868,
      0.04979966105546644,
      0.048987673397201975,
      0.04818760573470039,
      0.04739928279295214,
      0.04662253188282699,
      0.04585718275871992,
      0.04510306776882633,
      0.04436002177347047,
      0.04362788192338086,
      0.0429064878921844,
      0.04219568172694396,
      0.0414953077873446,
      0.040805212764088654,
      0.040125245610175476,
      0.039455257468386705,
      0.038795101626238726,
      0.03814463360943018,
      0.03750371115983237,
      0.03687219412668043,
      0.0362499441716075,
      0.035636825158349886,
      0.035032702978299024,
      0.03443744546307093,
      0.03385092240673656,
      0.03327300556369209,
      0.032703568475759025,
      0.03214248660218658,
      0.03158963722467534,
      0.031044899435913455,
      0.03050815406502343,
      0.029979283880257397,
      0.02945817318170505,
      0.02894470811933968,
      0.028438776317991864,
      0.027940267258880717,
      0.027449071949262487,
      0.026965082980137865,
      0.026488194551458708,
      0.02601830242116191,
      0.02555530385364786,
      0.025099097676157624,
      0.024649584245461105,
      0.024206665229841818,
      0.023770243886096096,
      0.023340224922635155,
      0.022916514272844028,
      0.022499019401401685,
      0.022087649088287916,
      0.02168231341527308,
      0.021282923763688934,
      0.02088939294468261,
      0.02050163496593027,
      0.020119565095695745,
      0.019743099893507816,
      0.01937215709339347,
      0.019006655746024323,
      0.018646515958763772,
      0.018291659021790717,
      0.01794200731596226,
      0.017597484473121153,
      0.017258015324843338,
      0.016923525652499324,
      0.01659394230994146,
      0.016269193464703683,
      0.01594920817658048,
      0.01563391659685386,
      0.015323249815144817,
      0.015017139945580397,
      0.014715520172444586,
      0.014418324685450913,
      0.014125488466170266,
      0.01383694761851373,
      0.013552639035351874,
      0.013272500666356369,
      0.012996471376592659,
      0.01272449082118654,
      0.012456499577624049,
      0.012192439129085245,
      0.01193225185121221,
      0.011675880913231641,
      0.011423270303268868,
      0.011174364907634134,
      0.010929110384460776,
      0.010687453115854862,
      0.01044934036440432,
      0.010214720137624103,
      0.009983541213089893,
      0.009755753121962958,
      0.009531306154603134,
      0.009310151248176737,
      0.009092240099482542,
      0.008877525198217322,
      0.008665959564092543,
      0.00845749700162307,
      0.008252092020447273,
      0.008049699777830313,
      0.007850276074381608,
      0.007653777377867419,
      0.007460160754136792,
      0.0072693839785844,
      0.007081405370410483,
      0.006896183915415159,
      0.006713679073079081,
      0.006533851107484344,
      0.0063566606958404045,
      0.0061820690412858915,
      0.006010038102635164,
      0.005840530349304525,
      0.005673508798668682,
      0.005508936966405754,
      0.005346778773883182,
      0.005186999023909996,
      0.005029562798092184,
      0.004874435758788915,
      0.004721583995170351,
      0.004570974208138476,
      0.004422573465252311,
      0.004276349300440355,
      0.004132269809300368,
      0.0039903034917316855,
      0.0038504194085476296,
      0.003712586989869083,
      0.0035767765320777007,
      0.003442959952890631,
      0.0033111095231846584,
      0.0031811974784202958,
      0.0030531961006561217,
      0.0029270776668936342,
      0.00280281484913138,
      0.0026803804416227314,
      0.0025597477568773713,
      0.0024408903614500928,
      0.0023237821886368235,
      0.0022083976589815286,
      0.002094711356921058,
      0.0019826982302071487,
      0.0018723336440618305,
      0.0017635934117954703,
      0.0016564537062532156,
      0.001550890940627239,
      0.001446881924264097,
      0.0013444037013986515,
      0.001243433798322114,
      0.001143950007754572,
      0.001045930416390902,
      0.0009493535223640928,
      0.0008541981126134442,
      0.0007604431858390871,
      0.0006680682584307147,
      0.0005770529847883102,
      0.00048737732567322997,
      0.00039902152032972245,
      0.0003119661871075635,
      0.00022619210104452795,
      0.00014168039824826578,
      5.841254001028911e-05,
      -2.362971543128297e-05,
      -0.00010446444178252665,
      -0.00018410941194827547,
      -0.00026258216800393767,
      -0.0003398998991022222,
      -0.00041607971263552684,
      -0.0004911383259473124,
      -0.000565092170262451,
      -0.000637957550504807,
      -0.0007097504675898882,
      -0.0007804866939976422,
      -0.0008501818294020719,
      -0.0009188511201065011,
      -0.000986509697043432,
      -0.0010531724761361032,
      -0.001118854089611704,
      -0.0011835690071063834,
      -0.0012473314397787457,
      -0.0013101553452589414,
      -0.0013720545777869166,
      -0.0014330428472016667,
      -0.0014931334420035722,
      -0.0015523395679006397,
      -0.001610674291251547,
      -0.0016681504951580732,
      -0.0017247808090990002,
      -0.0017805775248757741,
      -0.0018355530013220876,
      -0.0018897193181188331,
      -0.001943088336184249,
      -0.0019956718077620136,
      -0.002047481327143379,
      -0.0020985283762074394,
      -0.0021488241785939527,
      -0.0021983797247548897
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566713475607036,
      10.336236413591525,
      10.097661624754778,
      9.854093147251547,
      9.608025247518153,
      9.361626686174104,
      9.116790762947646,
      8.875100242657016,
      8.637794889872682,
      8.405799814432601,
      8.179746257569622,
      7.959989831413776,
      7.746640199472442,
      7.539598959964954,
      7.338596423214729,
      7.1432352380010755,
      6.953039533360675,
      6.767491985270647,
      6.586065197031193,
      6.4082504813228,
      6.233575987480863,
      6.061605697119359,
      5.891960664426421,
      5.72433347740202,
      5.558490418854186,
      5.394274985091704,
      5.23160785864269,
      5.070491661911547,
      4.910998449004227,
      4.753257624305026,
      4.597468590515273,
      4.443893820164612,
      4.292857866403965,
      4.144742021728401,
      3.999948446954557,
      3.858880497795889,
      3.7219272814649025,
      3.58945593857094,
      3.4617986274966372,
      3.3392387742447833,
      3.2220056411171734,
      3.1102713099041464,
      3.0041499271399092,
      2.90368721429111,
      2.808856406851649,
      2.7195656540942115,
      2.635682247909356,
      2.557017006009569,
      2.4833334147795725,
      2.414389772006359,
      2.3499320772467334,
      2.289671197563865,
      2.233288712694099,
      2.1804356911241407,
      2.1307279021602272,
      2.0837989260681993,
      2.0393121084815418,
      1.9969557599375003,
      1.956457324195433,
      1.917587545435027,
      1.880165189657277,
      1.8440461877142853,
      1.8091112612262097,
      1.7752559739962719,
      1.7423941234359879,
      1.7104560196906613,
      1.679384250330795,
      1.6491301533378326,
      1.6196515500735638,
      1.5909112180600695,
      1.5628755446725908,
      1.5355116654471619,
      1.508788743847742,
      1.4826793155532298,
      1.4571585263019404,
      1.4322035970538887,
      1.4077934400564522,
      1.383908460828375,
      1.3605315604066253,
      1.3376472732508344,
      1.3152403954546332,
      1.2932960839218655,
      1.2717999388137275,
      1.2507380494949476,
      1.2300970168826995,
      1.2098639596971204,
      1.1900265081763126,
      1.170572832840674,
      1.151492969797731,
      1.1327781540507715,
      1.1144201884787766,
      1.0964110841963037,
      1.0787429486757754,
      1.0614086629050288,
      1.044402428365542,
      1.0277178583281095,
      1.0113479729034174,
      0.9952854976294389,
      0.9795230580294957,
      0.9640533058537784,
      0.9488689988933858,
      0.9339630502881354,
      0.9193285575512526,
      0.9049588183436442,
      0.8908473375073728,
      0.8769878285214263,
      0.8633742110008482,
      0.8500006059952125,
      0.8368613304246947,
      0.8239508901507036,
      0.8112639731019958,
      0.7987954423431648,
      0.7865403287123691,
      0.7744938241744663,
      0.7626512754538621,
      0.7510081770482336,
      0.7395601652642128,
      0.7283030120865654,
      0.7172326201575188,
      0.7063450170119068,
      0.6956363498621594,
      0.6851028810808224,
      0.674740983354756,
      0.6645471351883097,
      0.6545179169432024,
      0.6446500071234259,
      0.6349401480844244,
      0.6253851263869217,
      0.6159818347197931,
      0.6067272712854824,
      0.5976185292715368,
      0.5886527888940507,
      0.5798273112321087,
      0.5711394334591875,
      0.5625865643908211,
      0.5541661815586885,
      0.5458758278929711,
      0.5377131090720865,
      0.5296756913237127,
      0.5217612987520427,
      0.5139677112715189,
      0.5062927629055826,
      0.4987343398023312,
      0.4912903078141822,
      0.48395816275996634,
      0.476735400860454,
      0.46961975682738677,
      0.4626091390023365,
      0.4557015853616196,
      0.4488952338526789,
      0.44218830140359106,
      0.43557913621857747,
      0.4290664397742584,
      0.42264898194533657,
      0.4163254420599683,
      0.41009444080358226,
      0.40395456999355306,
      0.39790441258914827,
      0.3919425549982733,
      0.3860675956245596,
      0.3802781499194872,
      0.3745728539246199,
      0.3689505339665137,
      0.36341057913297825,
      0.35795227138569763,
      0.3525746964014374,
      0.34727681860068293,
      0.3420575306551541,
      0.3369156767450546,
      0.33185004740743984,
      0.32685943604468415,
      0.3219426543292497,
      0.3170985333297965,
      0.3123259241879011,
      0.3076236981602665,
      0.3029907466280965,
      0.2984260117995715,
      0.29392855523488515,
      0.2894974348460507,
      0.28513170237194296,
      0.2808304075530594,
      0.27659259216100307,
      0.2724172986463715,
      0.26830357537272115,
      0.26425048028011294,
      0.26025708300540895,
      0.2563225124427131,
      0.252446230764595,
      0.24862776495708883,
      0.24486650199592033,
      0.24116174064297,
      0.23751272561628906,
      0.2339186703752409,
      0.23037877244865848,
      0.22689222328689895,
      0.22345821497825807,
      0.22007594464556846,
      0.21674461713897808,
      0.2134634467614027,
      0.2102316289904538,
      0.20704829136978575,
      0.2039125942681934,
      0.20082374290526034,
      0.19778097635156805,
      0.19478356015897244,
      0.1918307814114269,
      0.18892194509618093,
      0.18605637183463994,
      0.18323339602285527,
      0.1804523649995696,
      0.17771263786483577,
      0.17501358507807083,
      0.17235458780439597,
      0.16973503765607628,
      0.16715433623726783,
      0.164611894904589,
      0.16210713466010818,
      0.15963948575127304,
      0.15720838765070733,
      0.1548132888250239,
      0.15245364646373413,
      0.15012892637792924,
      0.1478386028205695,
      0.14558215843169686,
      0.14335908397160568,
      0.1411688781468629,
      0.13901104759870378,
      0.13688510679980256,
      0.13479057763675328,
      0.13272698945284148,
      0.1306938791448246,
      0.12869079070945025,
      0.12671727516825051,
      0.12477289046192597,
      0.12285720148704789,
      0.12096977977259481,
      0.11911020352687686,
      0.11727805754623898,
      0.11547293280112782,
      0.11369442662042946,
      0.11194214273720533,
      0.1102156905979324,
      0.10851468589909205,
      0.10683875006219502,
      0.10518751038300958,
      0.10356059976768747,
      0.10195765677338862,
      0.10037832548975607,
      0.0988222553371388,
      0.097289101137015,
      0.09577852291437339,
      0.09429018584518745,
      0.09282376011954573,
      0.09137892103791204,
      0.08995534879461953,
      0.08855272829065025,
      0.08717074928086123,
      0.08580910615644091,
      0.08446749787706775,
      0.08314562804628244,
      0.08184320468826572,
      0.08055994018666648,
      0.07929555128943083,
      0.07804975896414844,
      0.07682228834118275,
      0.07561286869407698,
      0.0744212333871256,
      0.07324711973901983,
      0.07209026896417799,
      0.0709504261759901,
      0.06982734039465541,
      0.06872076433693307,
      0.06763045431477081,
      0.06655617037599935,
      0.06549767614060538,
      0.06445473861219403,
      0.06342712846885434,
      0.062414619744526834,
      0.061416989761323364,
      0.060434019223372645,
      0.059465492014350654,
      0.058511195366621714,
      0.05757091962286962,
      0.05664445823815124,
      0.055731607685498466,
      0.05483216749367264,
      0.05394594007661067,
      0.053072730946204294,
      0.052212348506974295,
      0.05136460386805284,
      0.05052931106935055,
      0.049706286777973396,
      0.048895350401674746,
      0.04809632402173033,
      0.04730903232314259,
      0.04653330275444026,
      0.04576896518855497,
      0.045015852051476096,
      0.04427379824071188,
      0.04354264107861559,
      0.042822220281502524,
      0.042112377943990274,
      0.04141295857073382,
      0.04072380885004355,
      0.04004477774769188,
      0.03937571639933409,
      0.03871647828163205,
      0.038066919017094435,
      0.03742689632689651,
      0.03679627006204237,
      0.036174902108676354,
      0.03556265644782018,
      0.034959398987736874,
      0.03436499758163368,
      0.03377932211671913,
      0.03320224431826931,
      0.03263363783121232,
      0.032073378274178874,
      0.031521342893757916,
      0.03097741088691205,
      0.03044146323778586,
      0.0299133826599603,
      0.02939305355208831,
      0.028880362003891435,
      0.028375195987611256,
      0.02787744490079375,
      0.02738699978949894,
      0.02690375341214319,
      0.026427599991872042,
      0.025958435324824593,
      0.025496156734933002,
      0.025040663124359222,
      0.024591854762201305,
      0.024149633568838574,
      0.023713902814941346,
      0.023284567251810117,
      0.022861532872141533,
      0.022444707254699523,
      0.022033999196130694,
      0.021629318845535362,
      0.021230577645168575,
      0.020837688341577853,
      0.0204505651496893,
      0.02006912345508092,
      0.019693279768801367,
      0.01932295192214414,
      0.018958058929183827,
      0.018598520987652557,
      0.018244259586043723,
      0.017895197132598743,
      0.01755125731276976,
      0.017212364853786882,
      0.016878445770645956,
      0.01654942706305092,
      0.016225236862229875,
      0.015905804136452473,
      0.015591059061423307,
      0.015280932905685645,
      0.014975357856480558,
      0.014674267059507641,
      0.014377594712927334,
      0.01408527594295407,
      0.013797246880342194,
      0.013513444638841892,
      0.013233807107004263,
      0.012958273213439701,
      0.012686782731864627,
      0.012419276210265048,
      0.012155695297699774,
      0.01189598228612094,
      0.011640080393308388,
      0.011387933654504708,
      0.01113948693829038,
      0.010894686010180633,
      0.010653477510823276,
      0.01041580859391057,
      0.010181627278842469,
      0.009950882437511379,
      0.009723523568356792,
      0.009499501043481722,
      0.009278765882125018,
      0.00906126980668182,
      0.008846965326758717,
      0.008635805540020941,
      0.008427744336506868,
      0.00822273630641348,
      0.008020736644807758,
      0.007821701255799611,
      0.007625586509392188,
      0.007432349540983468,
      0.007241948032434081,
      0.007054340446509063,
      0.00686948583873262,
      0.006687343785592818,
      0.006507874404052816,
      0.006331038506839981,
      0.006156797492986615,
      0.005985113253669599,
      0.005815948219865456,
      0.0056492655712021495,
      0.005485028894139412,
      0.005323202217252649,
      0.0051637501435649324,
      0.005006637826073497,
      0.004851830901050682,
      0.004699295582083458,
      0.004548998540229531,
      0.004400906919442075,
      0.004254988360344013,
      0.0041112110513001785,
      0.0039695435781102965,
      0.00382995488347267,
      0.003692414501323069,
      0.0035568923097551754,
      0.003423359487943627,
      0.003291788498457349,
      0.003162151999583593,
      0.0030344224708163097,
      0.0029085724611047086,
      0.0027845746716919236,
      0.00266240213576448,
      0.002542028195090038,
      0.0024234265605737964,
      0.0023065712537221955,
      0.002191436536284976,
      0.0020779971529656877,
      0.0019662279966891024,
      0.0018561046208541748,
      0.0017476027997182263,
      0.0016406985988272884,
      0.0015353685864258656,
      0.0014315896395535638,
      0.0013293388405482083,
      0.001228593730675436,
      0.0011293321011215814,
      0.0010315320710694983,
      0.0009351721291099102,
      0.0008402311633742456,
      0.0007466882638938946,
      0.0006545228570306541,
      0.0005637145992009962,
      0.00047424349423290114,
      0.0003860898083610565,
      0.00029923420283191164,
      0.0002136574925227568,
      0.00012934092056165146,
      4.626588741591818e-05,
      -3.5585905779003714e-05,
      -0.0001162324402460098,
      -0.000195691443450664,
      -0.00027398043344050566,
      -0.0003511165839854503,
      -0.0004271168366488776,
      -0.0005019979035107138,
      -0.0005757762757075523,
      -0.000648468256285179,
      -0.0007200898523700818,
      -0.0007906568890633308,
      -0.0008601847406885807,
      -0.0009286888110457683,
      -0.0009961841166235723,
      -0.001062685549442752,
      -0.001128207833496538,
      -0.0011927652454003512,
      -0.0012563720204113531,
      -0.001319042172943139,
      -0.0013807894879541913,
      -0.0014416275622733223,
      -0.0015015697499815195,
      -0.0015606293355813598,
      -0.0016188193317752439,
      -0.0016761524159991871,
      -0.00173264126653935,
      -0.0017882983322914329,
      -0.00184313593260553,
      -0.0018971660512447901,
      -0.0019504005233225397,
      -0.0020028511262072143,
      -0.002054529422349592,
      -0.0021054467282960163,
      -0.0021556142735544106,
      -0.0022050430857840416
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566710920065045,
      10.336224118203926,
      10.097633155131915,
      9.854043490609696,
      9.60795035254019,
      9.361523802139715,
      9.116658189896693,
      8.874937278440513,
      8.63760181321625,
      8.405577201264709,
      8.17949480019631,
      7.959710231563141,
      7.746333090341395,
      7.5392648491128815,
      7.338235434067716,
      7.1428473150284955,
      6.952624595935085,
      6.76704995868703,
      6.585596036393556,
      6.407754292621724,
      6.233053122971265,
      6.06105672766283,
      5.891386336646062,
      5.723734765432163,
      5.557868587163093,
      5.393631572219466,
      5.230944704752233,
      5.069810942681084,
      4.9103025162861025,
      4.752549100808181,
      4.596750449715102,
      4.443169268716594,
      4.292130835881641,
      4.144016784190612,
      3.9992292321145624,
      3.8581713850681862,
      3.7212321611336923,
      3.5887785439069573,
      3.461142327774527,
      3.338606488761429,
      3.221399809699378,
      3.1096938774922807,
      3.0036023429474246,
      2.903170293122984,
      2.808370245696763,
      2.7191096543483995,
      2.6352553543254813,
      2.5566174511487785,
      2.4829590938191317,
      2.4140384464143363,
      2.349601414348303,
      2.2893586833511748,
      2.232991720521236,
      2.18015114937216,
      2.130452807870589,
      2.0835305469583196,
      2.039047871465479,
      1.996693431064478,
      1.9561951244189597,
      1.9173241499499503,
      1.8798996410156432,
      1.843777784794095,
      1.8088394967334092,
      1.7749804892987382,
      1.7421146897718705,
      1.710172492813813,
      1.6790965388727912,
      1.6488382210876662,
      1.6193553995678636,
      1.5906108785523376,
      1.5625710766064274,
      1.5352031588111692,
      1.5084762873283952,
      1.4823629965064666,
      1.4568384314308966,
      1.431879811959725,
      1.4074660491858382,
      1.3835775593607744,
      1.3601972776855482,
      1.3373097291840221,
      1.3148996955624497,
      1.2929523233119946,
      1.2714532046527154,
      1.250388423651625,
      1.2297445775216274,
      1.20950878115874,
      1.1896686626001398,
      1.1702124661120583,
      1.1511303342700852,
      1.1324134513630786,
      1.1140535952555595,
      1.0960427439451477,
      1.0783729866588312,
      1.0610374076937197,
      1.0440302098098424,
      1.0273449096003178,
      1.0109744619962442,
      0.9949115489802913,
      0.9791487667920232,
      0.9636787475851273,
      0.9484942354337141,
      0.9335881345375372,
      0.9189535365418873,
      0.9045837350706325,
      0.890472231876894,
      0.8766127383344556,
      0.8629991726680734,
      0.8496256547818053,
      0.8364865005307401,
      0.8235762151359312,
      0.8108894861473137,
      0.7984211759423,
      0.7861663150660296,
      0.7741200949892256,
      0.7622778617308612,
      0.7506351095236007,
      0.7391874741784611,
      0.7279307274531902,
      0.716860771336048,
      0.7059736328817736,
      0.6952654590381822,
      0.6847325117638737,
      0.6743711634027801,
      0.6641778919492629,
      0.6541492773346248,
      0.644281997168767,
      0.6345727919560762,
      0.6250184476502026,
      0.6156158571096372,
      0.6063620187139864,
      0.5972540253970553,
      0.588289057140967,
      0.5794643747020629,
      0.570777314809416,
      0.5622252861630895,
      0.5538057657896804,
      0.5455162961247446,
      0.5373544824057368,
      0.5293179903394566,
      0.521404543497869,
      0.513611921397931,
      0.5059379575903186,
      0.498380537897612,
      0.49093755898837754,
      0.4836065609946566,
      0.4763850139717265,
      0.46927063519513873,
      0.46226132122487107,
      0.45535510193226486,
      0.4485501094306274,
      0.44184455688228624,
      0.4352368398445864,
      0.42872570245812747,
      0.4223098841579696,
      0.41598803920036653,
      0.40975877151961493,
      0.4036206617179458,
      0.3975722850729164,
      0.3916122229231857,
      0.3857390700738846,
      0.3799514396293219,
      0.3742479655814184,
      0.36862757522928274,
      0.36308966345657034,
      0.35763347195233336,
      0.35225805972151436,
      0.34696237351074766,
      0.3417453040887674,
      0.33660570726774264,
      0.3315423605498991,
      0.32655404617093947,
      0.3216395686571627,
      0.3167977542180895,
      0.3120274505623111,
      0.30732752659356877,
      0.302696872167551,
      0.2981344422318428,
      0.2936392987686012,
      0.2892104947824127,
      0.2848470791179574,
      0.28054809820394483,
      0.27631259153124,
      0.2721395999338173,
      0.268028170789023,
      0.26397736131889304,
      0.259986240591654,
      0.25605394863639636,
      0.2521799633957208,
      0.24836380178388082,
      0.24460484404146723,
      0.24090238438185166,
      0.23725566455727576,
      0.23366389599488882,
      0.23012627469639052,
      0.22664199119667644,
      0.22321023691938097,
      0.21983020844226117,
      0.21650111033909056,
      0.21322215675005904,
      0.20999253773336815,
      0.20681138031244636,
      0.20367784680009346,
      0.20059114371472028,
      0.19755051094993423,
      0.1945552147120775,
      0.19160454230515828,
      0.18869779893469515,
      0.18583430528545408,
      0.1830133960816457,
      0.18023441855501204,
      0.17749673188584839,
      0.17479970649509663,
      0.1721427235234331,
      0.16952517456534974,
      0.16694646132769064,
      0.164405995135305,
      0.1619031969186765,
      0.15943749699761506,
      0.15700833478698967,
      0.1546151586919119,
      0.15225742591844854,
      0.1499346022765905,
      0.14764616208245787,
      0.14539158792507267,
      0.1431703705835167,
      0.14098200890973683,
      0.13882600948609386,
      0.13670188660439686,
      0.13460916220956393,
      0.132547365885016,
      0.130516034358288,
      0.12851471157496983,
      0.1265429487049221,
      0.12460030369383202,
      0.12268634122315313,
      0.12080063307883382,
      0.11894275751175273,
      0.11711229928002172,
      0.11530884940628142,
      0.11353200526662957,
      0.111781370508995,
      0.11005655478167584,
      0.10835717362119897,
      0.1066828485822932,
      0.10503320701181729,
      0.10340788187377686,
      0.10180651170734382,
      0.10022874068626685,
      0.0986742183154062,
      0.09714259934845251,
      0.09563354389546908,
      0.09414671715397994,
      0.09268178937380964,
      0.0912384358835968,
      0.08981633685506603,
      0.08841517730003591,
      0.08703464699533243,
      0.08567444047812314,
      0.08433425679731654,
      0.08301379954142347,
      0.08171277673610593,
      0.0804309008368137,
      0.07916788864179841,
      0.07792346115992624,
      0.07669734355720866,
      0.0754892652549129,
      0.07429895963903906,
      0.07312616405112493,
      0.07197061977423766,
      0.07083207202680203,
      0.06971026977660291,
      0.06860496579443866,
      0.0675159166100124,
      0.06644288227811092,
      0.06538562643119969,
      0.06434391624334819,
      0.06331752233067303,
      0.06230621881088005,
      0.061309783162461245,
      0.060327996166601235,
      0.059360641765404856,
      0.05840750714536215,
      0.05746838268623368,
      0.05654306186792704,
      0.05563134132548613,
      0.05473302076987655,
      0.05384790269402214,
      0.052975792589124604,
      0.05211649886300647,
      0.05126983274140075,
      0.05043560828131349,
      0.04961364223608703,
      0.04880375399388326,
      0.0480057658195127,
      0.04721950255926233,
      0.04644479157206015,
      0.04568146280075987,
      0.04492934868113063,
      0.04418828428325487,
      0.04345810702352576,
      0.04273865665329225,
      0.04202977541528696,
      0.041331307849715386,
      0.040643100616059726,
      0.03996500277737097,
      0.03929686565484849,
      0.038638542719934645,
      0.037989889688476906,
      0.037350764365768764,
      0.03672102662056927,
      0.03610053840222224,
      0.035489163596662404,
      0.03488676825929703,
      0.03429322036618225,
      0.03370838979849436,
      0.03313214840734638,
      0.03256436999089829,
      0.032004930177227185,
      0.03145370630134224,
      0.030910577705707293,
      0.03037542541196589,
      0.029848132210050306,
      0.029328582562700527,
      0.028816662631324468,
      0.02831226021277351,
      0.02781526480983791,
      0.027325567701825145,
      0.02684306164051108,
      0.026367640844325482,
      0.025899201246334966,
      0.025437640265394725,
      0.0249828568883007,
      0.024534751516563237,
      0.024093225990034772,
      0.023658183712026885,
      0.023229529462085126,
      0.022807169322153046,
      0.022391010920022495,
      0.021980963035680052,
      0.021576935859751765,
      0.02117884100470419,
      0.020786591411486754,
      0.020400101132612723,
      0.020019285587319576,
      0.019644061465721337,
      0.019274346714132,
      0.018910060328171507,
      0.018551122550839575,
      0.018197454801632793,
      0.01784897966143485,
      0.017505620925388158,
      0.01716730346334541,
      0.016833953313437185,
      0.01650549740504525,
      0.016181863883194578,
      0.015862981845782352,
      0.015548781581106752,
      0.015239194332686785,
      0.014934152443371805,
      0.014633589140871373,
      0.01433743853696996,
      0.014045635890643936,
      0.013758117379749257,
      0.01347482003533257,
      0.013195681838104534,
      0.012920641863456967,
      0.012649639870589318,
      0.012382616588068029,
      0.01211951359582516,
      0.011860273242323518,
      0.01160483881929539,
      0.011353154485590928,
      0.011105165162653165,
      0.010860816598346115,
      0.010620055402256834,
      0.010382828893513043,
      0.010149085148604773,
      0.009918772994997615,
      0.009691842026436739,
      0.009468242577041612,
      0.009247925819193734,
      0.00903084348904885,
      0.008816948136381597,
      0.008606192906468222,
      0.008398531750549786,
      0.00819391928350837,
      0.007992310681986064,
      0.007793661922026315,
      0.007597929510891179,
      0.007405070621812108,
      0.007215043123104803,
      0.007027805291846453,
      0.006843316172069868,
      0.006661535528228828,
      0.006482423592003952,
      0.006305941205176283,
      0.006132049710537516,
      0.005960711022818182,
      0.005791887682804985,
      0.005625542786606431,
      0.005461639904381864,
      0.005300143185588574,
      0.005141017351639128,
      0.004984227602270216,
      0.004829739612338844,
      0.004677519543411175,
      0.004527534216488375,
      0.00437975077785436,
      0.004234136952144404,
      0.004090660820021052,
      0.003949291011066573,
      0.003809996599644269,
      0.003672747149031754,
      0.0035375125790241594,
      0.0034042633216597334,
      0.003272971330514629,
      0.0031436096849760467,
      0.0030161512247363002,
      0.002890568723738892,
      0.0027668350752602954,
      0.002644923414400432,
      0.0025248072865804976,
      0.002406460282468594,
      0.002289856500883279,
      0.0021749703832111516,
      0.002061776645020658,
      0.0019502504248987633,
      0.001840367167627329,
      0.0017321026424600519,
      0.0016254330450100182,
      0.0015203349230178288,
      0.0014167851098280256,
      0.0013147608177444601,
      0.0012142395993750197,
      0.0011151992342715877,
      0.0010176179343245827,
      0.0009214741881417091,
      0.0008267467846608795,
      0.0007334149654808014,
      0.0006414580887288048,
      0.000550855885219254,
      0.0004615884297704048,
      0.0003736361585445637,
      0.00028697958838527673,
      0.0002015996795123,
      0.0001174775698180255,
      3.459471072480551e-05,
      -4.706715463554e-05,
      -0.00012752597413354642,
      -0.00020679940623203583,
      -0.00028490494014039906,
      -0.00036185987542002187,
      -0.00043768109095811966,
      -0.0005123853083862756,
      -0.0005859890242995536,
      -0.0006585084284545667,
      -0.000729959524727569,
      -0.0008003580349792507,
      -0.0008697194670641757,
      -0.0009380590993547102,
      -0.001005391913543358,
      -0.0010717328251858128,
      -0.0011370964051190496,
      -0.0012014970766672415,
      -0.0012649489685818884,
      -0.001327466027858756,
      -0.0013890620872553472,
      -0.0014497506841052467,
      -0.0015095452027027068,
      -0.001568458799446055,
      -0.0016265044736869319,
      -0.0016836950423002965,
      -0.001740043101159588,
      -0.0017955610298351979,
      -0.0018502610657939796,
      -0.0019041552951563191,
      -0.0019572555474521845,
      -0.0020095736011739485,
      -0.002061120911798836,
      -0.0021119088159714653,
      -0.0021619484486660586,
      -0.0022112509651218506
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566708373881777,
      10.336211864197162,
      10.097604771114575,
      9.853993967143838,
      9.607875641571942,
      9.36142115523125,
      9.116525906949938,
      8.874774656003463,
      8.63740912857129,
      8.405355030938626,
      8.17924383598799,
      7.959431172169142,
      7.746026566377276,
      7.538931367234164,
      7.337875118026793,
      7.142460110943246,
      6.952210425489737,
      6.766608749372606,
      6.585127744676004,
      6.407259025527448,
      6.2325311980927385,
      6.0605087186317865,
      5.890812993302586,
      5.7231370666290005,
      5.55724780040684,
      5.392989236248417,
      5.23028266119998,
      5.069131368022991,
      4.909607763601856,
      4.7518417916005085,
      4.596033556250329,
      4.442445996643943,
      4.291405113347966,
      4.143292878268235,
      3.9985113674741646,
      3.8574636349220497,
      3.7205384418228324,
      3.5881026054096963,
      3.460487524727899,
      3.3379757270883887,
      3.2207955160543658,
      3.109117984215493,
      3.0030562817938673,
      2.902654864174458,
      2.8078855410823302,
      2.7186550711875834,
      2.634829832023169,
      2.556219219810582,
      2.4825860473558383,
      2.4136883457663703,
      2.349271926642308,
      2.289047296755976,
      2.232695812232452,
      2.1798676530126655,
      2.130178726379964,
      2.0832631177119287,
      2.038784536488689,
      1.996431969566487,
      1.955933767245361,
      1.9170615799569237,
      1.8796349069515994,
      1.8435101898704889,
      1.8085685368780196,
      1.7747058080579583,
      1.7418360603016352,
      1.709889772063236,
      1.6788096367059457,
      1.64854710159455,
      1.619060065161592,
      1.590311358547508,
      1.562267431233357,
      1.5348954789937395,
      1.5081646621065907,
      1.4820475133123177,
      1.456519176358438,
      1.4315568701794823,
      1.4071395046367727,
      1.3832475073483137,
      1.359863847548991,
      1.3369730407975686,
      1.314559854484272,
      1.2926094244528838,
      1.2711073356619316,
      1.2500396669496312,
      1.2293930111300018,
      1.2091544798002887,
      1.1893116982535998,
      1.1698529846188486,
      1.1507685884125123,
      1.1320496424098154,
      1.1136878991699275,
      1.095675304145384,
      1.078003928481934,
      1.0606670591864895,
      1.0436589005613743,
      1.0269728727344425,
      1.0106018657202938,
      0.9945385176487245,
      0.978775395279666,
      0.963305111023069,
      0.9481203959518552,
      0.933214145023961,
      0.9185794437143775,
      0.9042095815089767,
      0.8900980576307428,
      0.8762385812443869,
      0.8626250687748712,
      0.8492516390273754,
      0.8361126071418554,
      0.8232024776918971,
      0.8105159374337375,
      0.7980478483535091,
      0.785793240589985,
      0.7737473052598989,
      0.7619053880958622,
      0.750262982721316,
      0.7388157246407447,
      0.7275593850653274,
      0.7164898655936397,
      0.705603192631814,
      0.6948955127443284,
      0.6843630876866761,
      0.6740022888559346,
      0.6638095940722493,
      0.6537815829922696,
      0.6439149328172786,
      0.6342063817457382,
      0.6246527151266894,
      0.6152508260661215,
      0.6059977129185448,
      0.5968904683896092,
      0.5879262722519818,
      0.5791023850136177,
      0.5704161430077332,
      0.5618649544092075,
      0.5534462959893943,
      0.5451577098870741,
      0.5369968006894061,
      0.5289612336766173,
      0.5210487319573573,
      0.5132570746941301,
      0.5055840949564768,
      0.49802767800378034,
      0.49058575161636864,
      0.48325590010263947,
      0.4760355673677468,
      0.4689224532149362,
      0.4619144423351238,
      0.4550095564318977,
      0.44820592210227267,
      0.44150174850079604,
      0.43489550010844724,
      0.42838593469669206,
      0.42197176343968373,
      0.4156516174967301,
      0.4094240853010438,
      0.40328773689631736,
      0.3972411404025448,
      0.3912828722271668,
      0.385411523940999,
      0.3796257062301001,
      0.3739240517268141,
      0.36830558822257775,
      0.3627697162711538,
      0.35731563751785544,
      0.35194238444679976,
      0.34664888621746914,
      0.3414340373512931,
      0.33629670215764373,
      0.3312356396360576,
      0.3262496222704891,
      0.32133744769231554,
      0.31649793757424677,
      0.3117299365109554,
      0.3070323113313635,
      0.3024039504634003,
      0.2978438218689289,
      0.29335098771784424,
      0.28892449611355336,
      0.28456339334263003,
      0.28026672228552013,
      0.2760335202333879,
      0.2718628265475084,
      0.2677536874706785,
      0.2637051593455184,
      0.2597163106235433,
      0.2557862926994103,
      0.251914599312297,
      0.24810073744567696,
      0.2443440805808618,
      0.2406439183588038,
      0.23699948933876222,
      0.23341000292964528,
      0.2298746538604024,
      0.22639263166205661,
      0.22296312700515578,
      0.21958533597347313,
      0.21625846278813093,
      0.21298172141368787,
      0.20975429666615897,
      0.20657531504814589,
      0.20344394062513985,
      0.20035938114990573,
      0.1973208776171301,
      0.1943276966570359,
      0.19137912591896175,
      0.18847447084997512,
      0.18561305233636294,
      0.18279420505961633,
      0.18001727639641535,
      0.17728162554121193,
      0.17458662296305646,
      0.17193164982647546,
      0.1693160976489135,
      0.16673936806615988,
      0.16420087250246948,
      0.16170003181441617,
      0.1592362763152634,
      0.15680904545456065,
      0.15441778761744945,
      0.1520619600876677,
      0.14974102860170171,
      0.1474544674985226,
      0.14520175934596322,
      0.14298239487622746,
      0.1407958729253822,
      0.13864170009044885,
      0.1365193907205524,
      0.13442846684784568,
      0.13236845788001528,
      0.13033890058846467,
      0.12833933899721917,
      0.12636932425589092,
      0.12442841440685101,
      0.12251617424341671,
      0.12063217535426216,
      0.11877599606174637,
      0.11694722119694059,
      0.11514544183776998,
      0.11337025540427302,
      0.1116212654941587,
      0.10989808176989237,
      0.10820031994189935,
      0.1065276016252341,
      0.1048795541008427,
      0.10325581040105501,
      0.10165600912119796,
      0.10007979430091414,
      0.09852681551434159,
      0.09699672770526807,
      0.09548919088805805,
      0.09400387040627299,
      0.09254043654158366,
      0.0910985645719765,
      0.08967793475847453,
      0.088278232195946,
      0.08689914671262172,
      0.08554037284031105,
      0.08420160969908877,
      0.08288256091707055,
      0.08158293462029327,
      0.08030244333661886,
      0.07904080391522775,
      0.07779773737531932,
      0.0765729689609668,
      0.07536622813748095,
      0.07417724832005489,
      0.07300576700457048,
      0.07185152551547773,
      0.07071426909199616,
      0.06959374683894376,
      0.06848971153897586,
      0.06740191966893722,
      0.06633013141711361,
      0.06527411039574742,
      0.06423362386898271,
      0.06320844262806327,
      0.06219834082249555,
      0.061203095988021525,
      0.060222488880138134,
      0.05925630360941206,
      0.058304327458039734,
      0.05736635080685515,
      0.056442167325207425,
      0.05553157362294831,
      0.05463436928508605,
      0.053750357010351434,
      0.05287934231894715,
      0.05202113374178217,
      0.05117554255332884,
      0.05034238288042453,
      0.04952147160918435,
      0.04871262827321701,
      0.04791567507916977,
      0.04713043692026741,
      0.04635674120894613,
      0.04559441807534899,
      0.044843300111824684,
      0.0441032222602852,
      0.04337402189294783,
      0.04265553902008288,
      0.04194761583645254,
      0.0412500968965924,
      0.0405628291271999,
      0.03988566156539301,
      0.039218445620492794,
      0.03856103482001847,
      0.037913284859436854,
      0.03727505371123887,
      0.036646201281472425,
      0.036026589528622095,
      0.03541608262837236,
      0.03481454660329079,
      0.034221849496745047,
      0.03363786127174371,
      0.03306245385076042,
      0.03249550107397023,
      0.03193687859174482,
      0.031386463827628074,
      0.030844135999415125,
      0.03030977634064069,
      0.02978326763668059,
      0.029264494505125548,
      0.02875334312280099,
      0.028249701449101036,
      0.027753459112574992,
      0.02726450733576423,
      0.02678273889161167,
      0.026308048174138482,
      0.025840331186156414,
      0.02537948545066587,
      0.024925409934638394,
      0.024478005047956487,
      0.024037172801218008,
      0.02360281657466736,
      0.023174841128299106,
      0.02275315267451649,
      0.022337658956381033,
      0.02192826882905355,
      0.02152489250752094,
      0.02112744171125631,
      0.02073582938210223,
      0.020349969667689014,
      0.019969778056381133,
      0.01959517126857335,
      0.01922606716597642,
      0.018862384868983624,
      0.01850404482127927,
      0.018150968516611757,
      0.017803078572636164,
      0.01746029889215139,
      0.017122554237958183,
      0.01678977067563843,
      0.016461875347578942,
      0.0161387963082364,
      0.015820462897566882,
      0.015506805393781001,
      0.015197755071091551,
      0.0148932442165329,
      0.014593206176113089,
      0.014297575271739032,
      0.014006286670889743,
      0.013719276577669913,
      0.013436482205554027,
      0.013157841607210315,
      0.012883293794259312,
      0.012612778523704807,
      0.012346236634139585,
      0.012083609781969361,
      0.011824840371459172,
      0.011569871761614038,
      0.01131864801204636,
      0.011071114236279213,
      0.010827216295589831,
      0.010586900678164235,
      0.01035011477275654,
      0.010116806705963302,
      0.009886925412234918,
      0.009660420624381386,
      0.00943724271457904,
      0.009217342690508985,
      0.009000672454784949,
      0.008787184578078689,
      0.008576832329320149,
      0.008369569702284878,
      0.008165351381240865,
      0.007964132582445278,
      0.007765869240944978,
      0.007570517856623155,
      0.007378035699023049,
      0.007188380664935575,
      0.0070015111578033825,
      0.006817386255282407,
      0.006635965663084215,
      0.006457209664982611,
      0.006281079227844079,
      0.006107535702058663,
      0.0059365411406920995,
      0.005768058137634308,
      0.005602049693771536,
      0.005438479383419241,
      0.005277311503817358,
      0.0051185107952054845,
      0.004962042391456191,
      0.0048078720838989385,
      0.004655966180871472,
      0.004506291368970128,
      0.00435881488123937,
      0.0042135044195928464,
      0.004070328225170006,
      0.003929254934562525,
      0.0037902536476347778,
      0.0036532939016294622,
      0.0035183457231703036,
      0.003385379599879937,
      0.0032543665552463535,
      0.0031252793006717027,
      0.0029980911360555436,
      0.0028727752980829747,
      0.0027493049124129587,
      0.002627653320820411,
      0.0025077940272727126,
      0.0023897007657945465,
      0.002273347759813649,
      0.0021587094684323597,
      0.0020457606323124973,
      0.0019344763845258117,
      0.0018248322038881552,
      0.0017168040348621441,
      0.0016103680849691411,
      0.001505500966928316,
      0.0014021794857918292,
      0.0013003807642654101,
      0.001200082356457593,
      0.0011012622170253057,
      0.001003898538133536,
      0.0009079698930697382,
      0.0008134551328888744,
      0.0007203334561654236,
      0.0006285843018383109,
      0.0005381873320627505,
      0.0004491226640990469,
      0.0003613706968889329,
      0.0002749120721478059,
      0.00018972774473396292,
      0.0001057989715595803,
      2.310716164851526e-05,
      -5.8365840641590695e-05,
      -0.00013863798603266797,
      -0.0002177270842427333,
      -0.00029565050503007554,
      -0.00037242544367550477,
      -0.00044806884848410777,
      -0.0005225973536591225,
      -0.0005960273511396434,
      -0.0006683749911623898,
      -0.0007396562967505317,
      -0.0008098870610378491,
      -0.0008790826930257152,
      -0.000947258526328133,
      -0.001014429580125867,
      -0.0010806105992093777,
      -0.001145816156433401,
      -0.001210060652569692,
      -0.0012733582457563695,
      -0.0013357229960819237,
      -0.0013971685708447303,
      -0.001457708463641895,
      -0.0015173560537825237,
      -0.0015761245505745104,
      -0.0016340268416787048,
      -0.0016910757472615784,
      -0.0017472837585161655,
      -0.0018026633414228888,
      -0.0018572267819653772,
      -0.0019109860942536222,
      -0.001963953087068539,
      -0.0020161393400292818,
      -0.0020675564719306286,
      -0.0021182157281124363,
      -0.0021681282918795575,
      -0.002217305156717581
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566705836752057,
      10.33619974780128,
      10.09757675256674,
      9.853945027888933,
      9.607801725231296,
      9.36131950334773,
      9.116394806852988,
      8.87461339176969,
      8.637217965393438,
      8.405134534350188,
      8.178994687298129,
      7.95915406362376,
      7.745722123535562,
      7.538600091607166,
      7.337517130427331,
      7.142075355451388,
      6.951798822159895,
      6.766170224547379,
      6.584662254851352,
      6.406766678285983,
      6.232012299072041,
      6.059963845216006,
      5.890242897847525,
      5.722542726999187,
      5.556630483016997,
      5.392350479695548,
      5.229624303393142,
      5.068455580578141,
      4.90891689394192,
      4.75113845505612,
      4.59532071492483,
      4.441726843916188,
      4.29068356291714,
      4.142573180498885,
      3.9977977288914994,
      3.856760110369304,
      3.7198489364404286,
      3.587430856499307,
      3.459836866999538,
      3.3373490478108274,
      3.2201952243666416,
      3.108545997348903,
      3.0025139894090858,
      2.9021430346535846,
      2.8074042754839814,
      2.718203777834249,
      2.6344074522071974,
      2.5558239872128485,
      2.4822158606894167,
      2.413340972048418,
      2.348945040761005,
      2.288738395731317,
      2.232402283602977,
      2.179586441699399,
      2.1299068461765636,
      2.0829977495044725,
      2.038523151592253,
      1.996172371668259,
      1.9556742069135733,
      1.916800755534862,
      1.879371878314846,
      1.8432442685388104,
      1.8082992252083332,
      1.7744327545076335,
      1.741559041479452,
      1.7096086470528091,
      1.6785243170418855,
      1.6482575531748673,
      1.6187662924384911,
      1.5900133920812822,
      1.5619653324632117,
      1.5345893392470182,
      1.507854570779007,
      1.4817335590544998,
      1.456201446476808,
      1.4312354502837472,
      1.4068144790910002,
      1.382918972221475,
      1.3595319323123691,
      1.3366378654838365,
      1.3142215242227389,
      1.292268034355476,
      1.270762973239337,
      1.2496924141913404,
      1.2290429457376104,
      1.2088016767418526,
      1.1889562297048146,
      1.1694949969234218,
      1.1504083338863176,
      1.1316873225624149,
      1.1133236903506316,
      1.0953093493864419,
      1.0776363527733168,
      1.0602981902635615,
      1.0432890679898226,
      1.0266023092389351,
      1.0102307394421115,
      0.9941669532078519,
      0.9784034878912536,
      0.9629329357744139,
      0.9477480147461825,
      0.9328416108453718,
      0.9182068035958192,
      0.9038368781559464,
      0.8897253306205752,
      0.8758658681076216,
      0.8622524055030067,
      0.8488790607209823,
      0.8357401480875426,
      0.8228301714285411,
      0.8101438170618417,
      0.797675946377311,
      0.7854215890032599,
      0.7733759356720632,
      0.7615343314680318,
      0.7498922694219863,
      0.738445384542877,
      0.727189447938731,
      0.716120360904073,
      0.7052341495600852,
      0.6945269599681246,
      0.6839950530512247,
      0.6736348001798821,
      0.6634426787499713,
      0.6534152677912861,
      0.6435492442518936,
      0.633841343669469,
      0.6242883509914359,
      0.6148871595948694,
      0.6056347677804873,
      0.5965282681993762,
      0.5875648402313303,
      0.578741744154953,
      0.5700563159503655,
      0.5615059634109066,
      0.5530881628144211,
      0.5448004556866006,
      0.5366404466124182,
      0.5286058002543724,
      0.5206942392434779,
      0.5129035422196757,
      0.505231541958494,
      0.49767612324059674,
      0.49023522100915723,
      0.4829064761566333,
      0.47568733005594127,
      0.4685754611211914,
      0.4615687394043492,
      0.45466517670732726,
      0.4478628927959272,
      0.4411600920953753,
      0.4345553124309806,
      0.428047322197125,
      0.4216347990439706,
      0.4153163517153522,
      0.4090905534378004,
      0.40295596419000246,
      0.3969111450684494,
      0.39095466775799004,
      0.3850851205725731,
      0.3793011121886221,
      0.37360127362568996,
      0.36798473293867245,
      0.36245089650261464,
      0.3569989259410737,
      0.35162782723838915,
      0.3463365119741837,
      0.34112387836483377,
      0.33598879945034876,
      0.3309300157823505,
      0.3259462898040657,
      0.32103641248350717,
      0.3161992010347411,
      0.31143349695225286,
      0.3067381650677963,
      0.3021120923830448,
      0.29755425958285503,
      0.2930637292672697,
      0.28863954448613155,
      0.2842807488535445,
      0.2799863819676805,
      0.27575547881705287,
      0.27158707714893315,
      0.26748022222175866,
      0.26343396968682214,
      0.2594473874145622,
      0.25551963779417486,
      0.2516502303717043,
      0.2478386619543232,
      0.2440842994878459,
      0.24038642812354657,
      0.2367442835132602,
      0.23315707293945453,
      0.22962398966147698,
      0.22614422218684815,
      0.22271696070514982,
      0.21934140074790767,
      0.21601674617653494,
      0.21274221068365354,
      0.20951697375939973,
      0.20634016154278628,
      0.20321094009850932,
      0.20012851831761816,
      0.19709213783141186,
      0.19410106595383703,
      0.1911545907988844,
      0.18825201808591735,
      0.18539266869174528,
      0.18257587751516322,
      0.17980099184197218,
      0.17706737097544664,
      0.1743743854001234,
      0.17172141620205042,
      0.1691078549730614,
      0.16653310323864154,
      0.16399657243237126,
      0.16149768341821694,
      0.159035866692236,
      0.1566105615662712,
      0.15422121637968447,
      0.15186728830843027,
      0.14954824323688123,
      0.147263555398222,
      0.145012707381903,
      0.14279518996044285,
      0.14061050200303674,
      0.13845815017064178,
      0.13633764881140736,
      0.1342485198337816,
      0.13219029267842253,
      0.13016250422948414,
      0.12816469846808906,
      0.12619642649125104,
      0.12425724641198435,
      0.12234672310936763,
      0.12046442826017759,
      0.11860994007357642,
      0.11678284336454192,
      0.11498272924697067,
      0.11320919523528171,
      0.11146184497180764,
      0.10974028808843492,
      0.10804414037383517,
      0.10637302345208617,
      0.10472656462009812,
      0.10310439692031828,
      0.10150615897736094,
      0.09993149494931328,
      0.09838005440831342,
      0.09685149232817328,
      0.09534546892518256,
      0.09386164942099083,
      0.09239970421081108,
      0.09095930869937736,
      0.08954014312860217,
      0.08814189263842301,
      0.08676424707716028,
      0.08540690102258534,
      0.08406955360613325,
      0.08275190850262565,
      0.08145367408245881,
      0.0801745628391163,
      0.07891429160423608,
      0.07767258143772679,
      0.07644915766645727,
      0.07524374976641034,
      0.07405609126957433,
      0.07288591959893789,
      0.07173297628716262,
      0.07059700664656099,
      0.06947775972022464,
      0.06837498842461358,
      0.06728844932786604,
      0.06621790266105589,
      0.06516311216116305,
      0.06412384506067295,
      0.06309987223021817,
      0.06209096790782209,
      0.061096909606289364,
      0.06011747824586483,
      0.059152457927294844,
      0.05820163605682919,
      0.0572648031083044,
      0.0563417527306605,
      0.055432281549132996,
      0.054536189356107434,
      0.05365327891947447,
      0.05278335583997046,
      0.05192622861046505,
      0.05108170860922546,
      0.050249610015419284,
      0.04942974976995173,
      0.0486219474384994,
      0.04782602546305696,
      0.04704180861635502,
      0.04626912446732602,
      0.045507803124958654,
      0.044757677208733276,
      0.044018581939611647,
      0.043290354795421634,
      0.04257283570959769,
      0.04186586693872618,
      0.041169293094649055,
      0.04048296117306583,
      0.03980672044471377,
      0.039140422240931776,
      0.0384839201350109,
      0.03783706998263112,
      0.03719972973896997,
      0.03657175944267318,
      0.03595302113497986,
      0.03534337898010814,
      0.03474269907950373,
      0.034150849550422704,
      0.033567700387051015,
      0.03299312353234449,
      0.03242699295054719,
      0.03186918431668699,
      0.03131957518335498,
      0.030778044986250096,
      0.030244474846643738,
      0.029718747730654096,
      0.029200748214619054,
      0.028690362619558228,
      0.028187478834012337,
      0.027691986607549023,
      0.027203777189634744,
      0.02672274351543482,
      0.026248780016093855,
      0.025781782784800502,
      0.025321649310529968,
      0.024868278674903828,
      0.02442157138016923,
      0.02398142946235726,
      0.02354775641983542,
      0.023120457071097715,
      0.022699437691083707,
      0.022284605949768554,
      0.02187587088780699,
      0.021473142783147065,
      0.02107633336599133,
      0.020685355689411163,
      0.020300124030682473,
      0.01992055384184163,
      0.019546561889264336,
      0.01917806614397307,
      0.018814985797443503,
      0.018457241180445522,
      0.018104753953520084,
      0.017757446857304696,
      0.017415243734240624,
      0.01707806952909259,
      0.01674585029384052,
      0.016418513171484586,
      0.016095986415830196,
      0.01577819933921332,
      0.015465082245448654,
      0.015156566563800678,
      0.014852584548235022,
      0.014553069609977763,
      0.014257956177182621,
      0.01396717944427251,
      0.013680675607707762,
      0.013398381863842717,
      0.013120236423511154,
      0.012846178390612873,
      0.012576147637806649,
      0.012310084990586789,
      0.01204793206507336,
      0.011789631465445661,
      0.01153512657767756,
      0.01128436153851394,
      0.011037281359879544,
      0.010793831872078065,
      0.010553959797608172,
      0.01031761259953648,
      0.010084738383423237,
      0.009855286158240783,
      0.009629205648866785,
      0.009406447340723578,
      0.009186962323736949,
      0.008970702583700434,
      0.008757620686914382,
      0.008547669803852376,
      0.008340803983443579,
      0.008136977928325264,
      0.007936146994996824,
      0.00773826717791936,
      0.007543295146800145,
      0.0073511880253527865,
      0.0071619037195671375,
      0.006975400847749244,
      0.006791638508239153,
      0.006610576366919272,
      0.006432174848842382,
      0.006256394747599805,
      0.006083197612166595,
      0.005912545474922236,
      0.005744400995604833,
      0.005578727219084021,
      0.0054154878438246335,
      0.005254647174984274,
      0.005096169939595457,
      0.0049400213900549095,
      0.004786167307529342,
      0.004634574020402069,
      0.0044852081511877724,
      0.004338037045399193,
      0.004193028496940081,
      0.00405015072992972,
      0.003909372439391141,
      0.003770662770058184,
      0.0036339912907548543,
      0.003499328078508502,
      0.0033666436264583976,
      0.0032359088172160405,
      0.0031070953807462018,
      0.002980176807889463,
      0.002855126744331043,
      0.002731918595618555,
      0.0026105258105814234,
      0.0024909221586248724,
      0.002373081556797686,
      0.00225697812627693,
      0.002142586402727621,
      0.002029881236072757,
      0.001918837850903773,
      0.001809431761972805,
      0.0017016388371365189,
      0.0015954353168893612,
      0.0014907978104954963,
      0.00138770322294724,
      0.0012861288807526439,
      0.0011860523092432206,
      0.0010874514052234203,
      0.000990304483788071,
      0.0008945899513076372,
      0.0008002867806731249,
      0.0007073741678991234,
      0.0006158316093461849,
      0.0005256388212445619,
      0.00043677600372175944,
      0.0003492235975287505,
      0.00026296214360646645,
      0.00017797260138076938,
      9.423625455276108e-05,
      1.173461871729721e-05,
      -6.955048485073981e-05,
      -0.00014963696878882095,
      -0.00022854258825559263,
      -0.00030628461615896644,
      -0.000382880279867617,
      -0.000458346529840983,
      -0.0005326999727467477,
      -0.0006059569684304282,
      -0.000678133744848217,
      -0.0007492463729158001,
      -0.0008193104542768121,
      -0.0008883413860454269,
      -0.0009563543895335395,
      -0.0010233644617361605,
      -0.001089386434256618,
      -0.0011544348789136228,
      -0.001218524088581048,
      -0.0012816682351162393,
      -0.0013438812976737148,
      -0.0014051770668476763,
      -0.0014655690333963344,
      -0.001525070511095605,
      -0.001583694542698704,
      -0.0016414541039680383,
      -0.0016983619317769419,
      -0.0017544306631985696,
      -0.0018096726689917195,
      -0.0018641000829469415,
      -0.001917724957658721,
      -0.001970559133868368,
      -0.0020226142041951238,
      -0.002073901685840977,
      -0.00212443286214695,
      -0.0021742189606977188,
      -0.0022232709936765714
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566703312948347,
      10.336187818853489,
      10.097549227636101,
      9.853896872008221,
      9.607728864912463,
      9.361219161891492,
      9.116265257724583,
      8.87445390586803,
      8.63702879519374,
      8.404916230991674,
      8.17874792146236,
      7.958879516746884,
      7.745420412524573,
      7.538271713090536,
      7.337162199593794,
      7.1416938121513045,
      6.951390582611751,
      6.7657352134238815,
      6.584200429753675,
      6.406278147814605,
      6.231497370887578,
      6.059423098803164,
      5.889677086974602,
      5.721952831468746,
      5.556017768832949,
      5.391716482810368,
      5.228970858278738,
      5.067784851960899,
      4.908231222033411,
      4.75044044621818,
      4.594613320856806,
      4.441013244437252,
      4.289967651465922,
      4.141859185190066,
      3.9970898323697805,
      3.856062342644079,
      3.7191651773351495,
      3.586764818364644,
      3.459191861768641,
      3.3367279408178594,
      3.219600404857743,
      3.107979364344022,
      3.001976916643909,
      2.901636276499927,
      2.806927890633561,
      2.7177571723478406,
      2.633989566917386,
      2.5554330598324584,
      2.4818497968267716,
      2.4129975460246773,
      2.348621935726354,
      2.288433115193382,
      2.232112223693016,
      2.1793085624626407,
      2.129638176300759,
      2.0827354845635564,
      2.0382647774662486,
      1.9959157054601668,
      1.9554175105539204,
      1.916542735617448,
      1.8791116017941552,
      1.8429810534416105,
      1.8080325788545344,
      1.7741623289760473,
      1.7412846166027747,
      1.7093300851791933,
      1.6782415327896778,
      1.6479705142098497,
      1.6184750038031086,
      1.5897178855664769,
      1.5616656704004226,
      1.5342856145738073,
      1.5075468744454132,
      1.4814219797752344,
      1.4558860719532234,
      1.430916367096219,
      1.4064917724798944,
      1.382592739080042,
      1.3592023031819351,
      1.3363049604335826,
      1.313885449310662,
      1.2919288848795187,
      1.2704208372659322,
      1.2493473743239996,
      1.2286950805477075,
      1.2084510613510557,
      1.1886029370437259,
      1.1691391735674341,
      1.1500502328214524,
      1.1313271454358529,
      1.1129616137741167,
      1.094945516775042,
      1.0772709821351047,
      1.0599316538202816,
      1.0429216465652027,
      1.0262342032337015,
      1.0098620951311823,
      0.993797880298886,
      0.9780340717772862,
      0.9625632457188341,
      0.9473781088763481,
      0.9324715396423837,
      0.917836612190588,
      0.903466608097128,
      0.8893550211169622,
      0.8754955566463157,
      0.8618821283532415,
      0.8485088531205844,
      0.8353700446218418,
      0.8224602058898421,
      0.8097740225523975,
      0.7973063554524096,
      0.7850522338049648,
      0.7730068478496404,
      0.7611655423931827,
      0.7495238102686118,
      0.7380772860524137,
      0.7268217400998993,
      0.7157530733353582,
      0.7048673112721476,
      0.6941605997785744,
      0.6836291992278656,
      0.6732694806092254,
      0.6630779208172835,
      0.6530510984050453,
      0.6431856896304755,
      0.6334784280250189,
      0.6239260978969396,
      0.6145255928847811,
      0.605273911147875,
      0.5961681454731512,
      0.5872054750627084,
      0.5783831597477382,
      0.5696985352167123,
      0.5611490087891843,
      0.5527320560796912,
      0.5444452184662151,
      0.5362860998774539,
      0.5282523645416972,
      0.5203417346674123,
      0.5125519885279317,
      0.5048809583529675,
      0.49732652824224605,
      0.48988663297732465,
      0.482558974023133,
      0.4753409979380329,
      0.4682303603704713,
      0.4612249158743502,
      0.45432266577599406,
      0.44752172256717343,
      0.4408203212087371,
      0.4342170542787708,
      0.4277106648772276,
      0.42129980317403104,
      0.414983059513097,
      0.40875899475491206,
      0.4026261605905813,
      0.396583112551504,
      0.3906284184642582,
      0.3847606639140474,
      0.37897845563427585,
      0.37328047062602454,
      0.3676659121463592,
      0.36213414508090325,
      0.35668429977399774,
      0.3513153616177779,
      0.34602622832954083,
      0.3408158040616018,
      0.33568297236143413,
      0.3306264564233816,
      0.3256450095288087,
      0.3207374164489279,
      0.3159024901226374,
      0.31113906925278056,
      0.30644601666281207,
      0.3018222179538598,
      0.29726666665984386,
      0.2927784256815423,
      0.2883565333558269,
      0.2840000306206021,
      0.2797079537757918,
      0.2754793355292119,
      0.27131321209985326,
      0.26720862755514313,
      0.2631646368007415,
      0.2591803073255684,
      0.255254812573534,
      0.2513876776266666,
      0.24757838931560644,
      0.24382630802141,
      0.24013071444022457,
      0.23649084112226418,
      0.23290589328317662,
      0.22937506274659775,
      0.22589753708145552,
      0.22247250573787733,
      0.2190991639448823,
      0.21577671514853716,
      0.21250437285381882,
      0.20928131144988854,
      0.2061066564164977,
      0.20297957564920133,
      0.19989927942798955,
      0.19686501027211842,
      0.19387603591015906,
      0.19093164476697158,
      0.18803114266705687,
      0.18517385084453264,
      0.18235910417152354,
      0.1795862500825911,
      0.17685464782265686,
      0.1741636678899989,
      0.17151269146837347,
      0.1689011100446184,
      0.1663283251917183,
      0.16379374824990556,
      0.1612968002234894,
      0.15883691133970157,
      0.15641352106432901,
      0.15402607779138133,
      0.15167403869698803,
      0.14935686956535255,
      0.1470740447723061,
      0.14482504685362055,
      0.14260936653466635,
      0.1404265025543327,
      0.13827596167097522,
      0.13615725825203004,
      0.13406991433807108,
      0.1320134593983053,
      0.129987430254125,
      0.12799137084055812,
      0.12602483229423844,
      0.12408737275156856,
      0.12217855712394188,
      0.12029795708492487,
      0.1184451508997808,
      0.11661972337155851,
      0.11482126573761477,
      0.11304937544679859,
      0.11130365611530309,
      0.10958371752808808,
      0.10788917539925919,
      0.10621965135532639,
      0.10457477276624214,
      0.10295417269702604,
      0.10135748987825646,
      0.09978436858108514,
      0.09823445842151,
      0.09670741427819811,
      0.0952028963744833,
      0.09372057004098575,
      0.09226010573139289,
      0.0908211788967625,
      0.08940346983225934,
      0.08800666366785012,
      0.08663045044604975,
      0.08527452466300432,
      0.08393858550263908,
      0.08262233679799964,
      0.0813254868083223,
      0.0800477480788403,
      0.07878883753497314,
      0.07754847641061337,
      0.07632639008095378,
      0.07512230807517843,
      0.07393596391308711,
      0.07276709513444664,
      0.07161544329183915,
      0.07048075373214507,
      0.06936277562397819,
      0.06826126177308768,
      0.06717596887110226,
      0.06610665727778464,
      0.06505309072788673,
      0.06401503656889702,
      0.0629922657128774,
      0.06198455245829462,
      0.06099167439121241,
      0.06001341246095994,
      0.05904955089610934,
      0.058099877104399546,
      0.057164181647739606,
      0.05624225841695276,
      0.055333904020145236,
      0.054438918183611934,
      0.05355710368678591,
      0.05268826631543071,
      0.05183221462216688,
      0.050988760047635216,
      0.05015771682626023,
      0.04933890196337534,
      0.04853213515564507,
      0.04773723882054913,
      0.0469540379228234,
      0.0461823600841399,
      0.04542203538151066,
      0.04467289647969095,
      0.043934778699982885,
      0.043207519545691735,
      0.04249095901855185,
      0.04178493951513656,
      0.04108930577041288,
      0.04040390472144599,
      0.03972858570371614,
      0.039063200214486185,
      0.03840760187565167,
      0.037761646559861445,
      0.0371251923350375,
      0.03649809924209984,
      0.035880229439742686,
      0.03527144715061524,
      0.03467161856123174,
      0.034080611799563204,
      0.03349829699625335,
      0.032924546239254865,
      0.03235923351675291,
      0.03180223463569302,
      0.03125342707727952,
      0.030712690231177647,
      0.030179905318674094,
      0.029654955323388684,
      0.029137725062155534,
      0.028628100836743414,
      0.0281259707719683,
      0.027631224569237795,
      0.02714375358462442,
      0.026663450652038703,
      0.02619021042763588,
      0.0257239290223466,
      0.0252645040091347,
      0.024811834416797556,
      0.024365820951989203,
      0.02392636573167311,
      0.023493372230947218,
      0.023066745293259996,
      0.022646391343471062,
      0.02223221807869843,
      0.021824134571345025,
      0.02142205134590427,
      0.021025880041203714,
      0.020635533688075004,
      0.02025092657210547,
      0.019871974286086908,
      0.019498593755795324,
      0.019130702946291274,
      0.01876822115771812,
      0.01841106876638634,
      0.018059167409107343,
      0.01771243989230164,
      0.017370810112314755,
      0.01703420306256563,
      0.016702544921263475,
      0.016375762870137707,
      0.016053785286320715,
      0.0157365414743592,
      0.015423961815201913,
      0.015115977715908892,
      0.01481252165904933,
      0.014513526982492257,
      0.014218928152354718,
      0.01392866044869139,
      0.01364266015725455,
      0.013360864567661758,
      0.013083211861055915,
      0.012809641122321034,
      0.012540092285410314,
      0.012274506152455959,
      0.012012824555977622,
      0.01175499006062495,
      0.011500946094432807,
      0.011250636904736077,
      0.011004007702319966,
      0.010761004255543126,
      0.010521573313825125,
      0.010285662309633813,
      0.010053219495799947,
      0.009824193863400832,
      0.00959853527879773,
      0.009376194146950127,
      0.009157121751278398,
      0.008941269928819424,
      0.008728591384078478,
      0.008519039503149995,
      0.008312568298188721,
      0.008109132411372033,
      0.007908687274171428,
      0.007711188938770861,
      0.007516593975634362,
      0.007324859856526955,
      0.007135944463075072,
      0.006949806201491187,
      0.006766404284746139,
      0.006585698483093947,
      0.006407649316477402,
      0.006232217651263444,
      0.006059365030126064,
      0.005889053553108198,
      0.005721245747763887,
      0.00555590478557604,
      0.005392994526989825,
      0.005232479239625559,
      0.005074323693858679,
      0.004918493145395047,
      0.004764953491499896,
      0.004613671048177582,
      0.004464612545030318,
      0.004317745351013216,
      0.00417303720009597,
      0.004030456299833668,
      0.003889971391061171,
      0.0037515517907596436,
      0.003615167036013858,
      0.0034807872608310798,
      0.0033483830151365287,
      0.003217925206494548,
      0.0030893852404351462,
      0.0029627356775122206,
      0.002837950444043843,
      0.0027150032856404537,
      0.002593868052296446,
      0.0024745186403448576,
      0.0023569291570443417,
      0.0022410738570677303,
      0.002126927295975946,
      0.0020144643956836214,
      0.0019036603459629162,
      0.0017944908314907163,
      0.0016869317582739703,
      0.0015809593753678367,
      0.0014765502452062469,
      0.0013736813360918864,
      0.0012723300080979142,
      0.0011724738860432538,
      0.0010740908480784991,
      0.0009771591486346376,
      0.0008816573393458795,
      0.0007875643440802188,
      0.0006948594841852465,
      0.000603522327374546,
      0.0005135325375456367,
      0.0004248703611988065,
      0.0003375160789427803,
      0.00025145044356486123,
      0.00016665444518797678,
      8.310945960705715e-05,
      7.969840188381438e-07,
      -8.030121276423252e-05,
      -0.0001602030667461295,
      -0.0002389261487693589,
      -0.0003164879311192203,
      -0.00039290549960349793,
      -0.00046819569720067976,
      -0.0005423751391033923,
      -0.0006154602398789688,
      -0.0006874671697006445,
      -0.0007584118606672216,
      -0.0008283099738313286,
      -0.0008971769035708448,
      -0.0009650278315890209,
      -0.0010318779009576113,
      -0.0010977417858193809,
      -0.0011626339844376598,
      -0.001226568850584922,
      -0.0012895605862423937,
      -0.001351623055695115,
      -0.0014127699162615479,
      -0.001473014741992296,
      -0.001532370924172794,
      -0.0015908514058302168,
      -0.001648469165257774,
      -0.001705236967876014,
      -0.0017611673272169598,
      -0.0018162725542119232,
      -0.0018705648308927779,
      -0.0019240561182984174,
      -0.00197675832428866,
      -0.0020286830893967993,
      -0.002079841800924588,
      -0.002130245771088759,
      -0.002179906185963921,
      -0.0022288340159977364
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566700803182721,
      10.336175960163255,
      10.09752183785054,
      9.85384892462475,
      9.607656314912516,
      9.36111925774766,
      9.1161362911287,
      8.874295160283223,
      8.636840532057338,
      8.404699010556458,
      8.17850241902481,
      7.958606417508575,
      7.745120336091448,
      7.537945096842411,
      7.336809109426847,
      7.141314206468018,
      6.950984392416122,
      6.765302375750761,
      6.583740914265224,
      6.405792073895724,
      6.2309850552524235,
      6.058885128460294,
      5.889114221404494,
      5.7213660543240215,
      5.555408348521232,
      5.391085956420481,
      5.228321059394111,
      5.067117943923368,
      4.907549541917542,
      4.749746595542972,
      4.59391024324152,
      4.440304110175104,
      4.28925634062685,
      4.141149907090115,
      3.99638675015228,
      3.8553694668789125,
      3.718486366578707,
      3.586103761995939,
      3.4585518480421564,
      3.336111813034819,
      3.2190105321004068,
      3.107417627130609,
      3.001444648946174,
      2.9011341984027608,
      2.8064560482728758,
      2.717314977252182,
      2.6335759601067728,
      2.555046281770884,
      2.481487756548258,
      2.412658022982249,
      2.348302617814253,
      2.2881314936209796,
      2.2318256873672784,
      2.1790340870413525,
      2.1293728066700828,
      2.082476431417057,
      2.0380095403372653,
      1.9956621126571483,
      1.9551638336996415,
      1.9162876900222185,
      1.8788542609434877,
      1.8427207405149773,
      1.8077688055550658,
      1.7738947507191771,
      1.7410130157714847,
      1.7090543255633037,
      1.6779615298850878,
      1.6476862371519982,
      1.6181864594286457,
      1.589425106958942,
      1.5613687218915084,
      1.533984590323332,
      1.5072418659903783,
      1.4811130774002892,
      1.4555733642255564,
      1.4305999412074837,
      1.4061717143752752,
      1.3822691537679104,
      1.3588753252328232,
      1.335974706804617,
      1.3135520236317226,
      1.2915923812563894,
      1.2700813429366804,
      1.24900497131894,
      1.2283498470117586,
      1.2081030722215949,
      1.1882522647936473,
      1.1687859647984935,
      1.1496947406173774,
      1.130969571964671,
      1.1126021356710094,
      1.0945842779430444,
      1.07690822502929,
      1.059567760963255,
      1.0425568858460652,
      1.0258687668355386,
      1.009496123723413,
      0.9934314800223405,
      0.9776673255695973,
      0.9621962211338216,
      0.947010862764826,
      0.9321041218384473,
      0.917469067801863,
      0.9030989788106911,
      0.8889873459805243,
      0.8751278729873871,
      0.8615144726345976,
      0.8481412607676004,
      0.8350025499400623,
      0.8220928426328492,
      0.8094068241739951,
      0.7969393548918431,
      0.7846854635160725,
      0.7726403398206759,
      0.7607993281575368,
      0.7491579207779959,
      0.7377117518972176,
      0.7264565916946132,
      0.715388340230751,
      0.7045030228312649,
      0.6937967848013699,
      0.6832658861011752,
      0.6729066971932507,
      0.6627156946034646,
      0.6526894564623502,
      0.6428246586193708,
      0.6331180321174235,
      0.6235663608034023,
      0.614166538625727,
      0.6049155637517593,
      0.5958105286423937,
      0.5868486122651498,
      0.5780270739699283,
      0.5693432492702412,
      0.560794545126495,
      0.5523784370104308,
      0.5440924655789273,
      0.535934234293135,
      0.5279014069055681,
      0.5199917051850776,
      0.5122029068170263,
      0.504532843491092,
      0.49697939921559303,
      0.489540508106252,
      0.48221393243271493,
      0.4749971240689798,
      0.46788771567200027,
      0.4608835462237593,
      0.45398260655110906,
      0.44718300192350874,
      0.4404829992868961,
      0.43388124936277767,
      0.42737646224059955,
      0.4209672616393315,
      0.4146522201929372,
      0.40842988685206766,
      0.4022988051934802,
      0.39625752525241903,
      0.3903046110638977,
      0.38443864557486346,
      0.3786582336133641,
      0.3729621034878249,
      0.36734953025292355,
      0.36181983258296324,
      0.3563721106594586,
      0.3510053296157078,
      0.34571837384999243,
      0.3405101584054893,
      0.3353795714878369,
      0.3303253200274876,
      0.32534614822734464,
      0.32044083479286734,
      0.3156081886179592,
      0.31084704575265865,
      0.3061562672767781,
      0.3015347429955079,
      0.29698147628457594,
      0.2924955248266582,
      0.2880759230753002,
      0.28372171002506347,
      0.2794319190104328,
      0.27520558088918434,
      0.27104173056349995,
      0.26693941117050707,
      0.26289767686310966,
      0.2589155946009161,
      0.2549923489111885,
      0.2511274805923247,
      0.24732046660185888,
      0.24357066055400672,
      0.2398773386779096,
      0.2362397304472045,
      0.23265703918773153,
      0.22912845528620163,
      0.22565316539690225,
      0.22223035824193518,
      0.2188592285935922,
      0.21553897973507305,
      0.21226882486767115,
      0.2090479330741624,
      0.2058754294909885,
      0.2027504839568821,
      0.19967230792359203,
      0.1966401445939017,
      0.19365326222364096,
      0.19071094962255372,
      0.18781251290916967,
      0.18495727338079063,
      0.18214456599583986,
      0.1793737382719729,
      0.17664414950858545,
      0.17395517011407446,
      0.17130618130443753,
      0.16869657449106143,
      0.16612575134267868,
      0.16359312318624045,
      0.16109811099855567,
      0.15864014502154536,
      0.1562186646881981,
      0.15383311836244815,
      0.151482963173166,
      0.14916766500498752,
      0.1468866981445416,
      0.14463954515935123,
      0.14242569686378317,
      0.14024465205366626,
      0.1380959174164196,
      0.13597900736204455,
      0.1338934437494768,
      0.13183875609261628,
      0.12981448123576084,
      0.12782016324809434,
      0.12585535334021603,
      0.12391960959233889,
      0.12201249695787333,
      0.12013358709758094,
      0.11828245826618256,
      0.116458695251699,
      0.11466188929710555,
      0.11289163795345371,
      0.11114754487080143,
      0.10942921982446148,
      0.10773627856447192,
      0.10606834284323595,
      0.10442504004313527,
      0.10280600328723016,
      0.10121087130153321,
      0.099639288333984,
      0.09809090404170749,
      0.09656537342120758,
      0.09506235665509143,
      0.093581519160965,
      0.09212253140379476,
      0.09068506889078057,
      0.08926881194807793,
      0.08787344592177068,
      0.08649866080430231,
      0.08514415117289895,
      0.08380961630954757,
      0.08249475992697103,
      0.08119929032393576,
      0.07992292017153388,
      0.07866536643942462,
      0.07742635035919498,
      0.07620559747643278,
      0.07500283730447962,
      0.07381780340930137,
      0.07265023338134405,
      0.07149986889233549,
      0.0703664553305893,
      0.06924974187966115,
      0.06814948152131449,
      0.06706543096334336,
      0.06599735052084259,
      0.06494500412808868,
      0.06390815924279462,
      0.06288658676972628,
      0.061880061016195004,
      0.06088835966315756,
      0.05991126367881061,
      0.05894855737796832,
      0.05800002822660786,
      0.05706546681727663,
      0.0561446669896419,
      0.05523742560053986,
      0.05434354238779502,
      0.0534628202842625,
      0.05259506505946321,
      0.05174008541102771,
      0.05089769281252145,
      0.05006770158514175,
      0.049249928795366944,
      0.04844419415968119,
      0.047650320179151884,
      0.04686813190242332,
      0.04609745691488419,
      0.045338125461441385,
      0.04458997033133847,
      0.04385282680657755,
      0.043126532460771465,
      0.042410927450389616,
      0.041705854192092294,
      0.04101115742746462,
      0.040326684312374135,
      0.03965228414668556,
      0.03898780848738959,
      0.03833311110811813,
      0.03768804787509235,
      0.03705247679614861,
      0.03642625812292478,
      0.0358092540699496,
      0.035201328923508496,
      0.03460234891295389,
      0.034012182296779346,
      0.03343069921433869,
      0.03285777183764733,
      0.03229327416516023,
      0.03173708205801997,
      0.03118907311797988,
      0.03064912686158692,
      0.030117124599635902,
      0.029592949329708573,
      0.029076485788005025,
      0.028567620488850053,
      0.02806624152942703,
      0.027572238731267358,
      0.027085503521207012,
      0.026605928996869237,
      0.02613340965500182,
      0.02566784151319369,
      0.02520912235207968,
      0.024757151385551655,
      0.024311829362714938,
      0.023873058370370747,
      0.023440741965199668,
      0.023014785101692026,
      0.02259509412274443,
      0.022181576965687955,
      0.021774142681051056,
      0.02137270176669488,
      0.020977165990763057,
      0.020587448497802946,
      0.020203463724781604,
      0.019825127135927302,
      0.01945235575064547,
      0.01908506765911276,
      0.01872318220423396,
      0.018366619900922265,
      0.018015302398408043,
      0.017669152510199494,
      0.017328094178934182,
      0.016992052490136668,
      0.01666095357569657,
      0.016334724814426403,
      0.016013294464402635,
      0.015696592043681738,
      0.01538454796485219,
      0.01507709363754513,
      0.014774161651343874,
      0.014475685352398548,
      0.01418159915459958,
      0.013891838492417666,
      0.013606339790402803,
      0.013325040391998447,
      0.013047878402806416,
      0.012774793039750194,
      0.012505724328837517,
      0.012240613149957377,
      0.011979401291390131,
      0.011722031316711888,
      0.01146844676592,
      0.01121859208664173,
      0.010972412288039772,
      0.010729853329611034,
      0.010490861898861425,
      0.010255385524958763,
      0.010023372570052383,
      0.009794772077717536,
      0.00956953378923691,
      0.009347608308984798,
      0.009128946917082735,
      0.008913501556293436,
      0.008701224910880705,
      0.0084920704496796,
      0.008285992160966807,
      0.008082944842584771,
      0.007882883860966252,
      0.007685765319631983,
      0.00749154591860198,
      0.00730018312814748,
      0.007111634894439672,
      0.00692585981195759,
      0.0067428170625001066,
      0.00656246636335254,
      0.006384768197164827,
      0.00620968354868068,
      0.006037174031590526,
      0.005867201744230366,
      0.005699729362565365,
      0.005534720076348632,
      0.005372137629100488,
      0.005211946354040317,
      0.005054111116721952,
      0.004898597278981716,
      0.0047453706773586,
      0.004594397660955885,
      0.004445645080075792,
      0.00429908026424539,
      0.004154671014804063,
      0.004012385752239032,
      0.0038721931694565607,
      0.0037340624333643663,
      0.0035979632291176823,
      0.0034638657303330744,
      0.0033317404947080507,
      0.00320155844381131,
      0.0030732910861179315,
      0.002946910201751983,
      0.002822389156504848,
      0.0026997022496480687,
      0.002578823704041335,
      0.002459727698525063,
      0.002342388317375186,
      0.0022267801102344156,
      0.0021128776421676645,
      0.0020006559154385254,
      0.0018900901888949096,
      0.0017811561158825198,
      0.0016738296743324717,
      0.0015680871933609797,
      0.0014639053364904275,
      0.001361261054618125,
      0.0012601316991767224,
      0.0011604949013376501,
      0.0010623286624449736,
      0.0009656112038592168,
      0.0008703211740751782,
      0.000776437545974016,
      0.000683939604060468,
      0.0005928068760747912,
      0.0005030191924723344,
      0.0004145566517236422,
      0.00032739971390607133,
      0.00024152913049415794,
      0.00015692588136234664,
      7.357127837230717e-05,
      -8.553050793552494e-06,
      -8.946526672046812e-05,
      -0.0001691832175461803,
      -0.0002477246173652074,
      -0.00032510686112838065,
      -0.0004013471059323781,
      -0.0004764621027963542,
      -0.0005504684470730309,
      -0.0006233825606333167,
      -0.0006952204640196291,
      -0.0007659980873498786,
      -0.0008357311100481474,
      -0.0009044349143591442,
      -0.0009721247349635043,
      -0.0010388155849906993,
      -0.001104522168661072,
      -0.00116925902186974,
      -0.0012330404673229116,
      -0.0012958805626815133,
      -0.0013577931620969898,
      -0.0014187919197425419,
      -0.0014788903307728937,
      -0.0015381017523575726,
      -0.0015964392207264318,
      -0.0016539156933063608,
      -0.0017105439342980045,
      -0.0017663363737364707,
      -0.0018213054744613034,
      -0.0018754633229361433,
      -0.00192882184856545,
      -0.0019813928387130662,
      -0.0020331878577273116,
      -0.002084218394226288,
      -0.002134495759645915,
      -0.002184031050249149,
      -0.0022328352477404803
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566698308675885,
      10.336164174678913,
      10.097494609339822,
      9.853801250283727,
      9.607584176001936,
      9.361019921513023,
      9.11600806361122,
      8.87413733644714,
      8.636653380913167,
      8.404483096791196,
      8.17825842092633,
      7.958335020901443,
      7.744822161122606,
      7.537620522984758,
      7.336458161885306,
      7.140936859663373,
      6.950580591314318,
      6.7648720716158,
      6.583284101926217,
      6.405308891883213,
      6.230475826603224,
      6.058350444522589,
      5.888554844787092,
      5.720782971384474,
      5.554802829321071,
      5.390459537533528,
      5.227675571650187,
      5.066455545297088,
      4.906872566031297,
      4.749057636221882,
      4.593212232432551,
      4.439600205208032,
      4.28855040329164,
      4.140446126013622,
      3.995689266171602,
      3.854682266026183,
      3.717813282576612,
      3.5854484583684085,
      3.457917587636595,
      3.3355014151865627,
      3.21842634384919,
      3.1068615093362677,
      3.000917907224086,
      2.900637527945405,
      2.8059894570747237,
      2.7168778791810526,
      2.6331672947390765,
      2.554664291024841,
      2.4811303532753777,
      2.412322991122602,
      2.3479876509392112,
      2.287834074096422,
      2.231543202210976,
      2.1787635275393,
      2.12911123286567,
      2.0822210688042206,
      2.0377579023862946,
      1.9954120413025487,
      1.9549136116760122,
      1.9160360410547748,
      1.878600265564046,
      1.842463727949631,
      1.807508292013165,
      1.7736303947579333,
      1.740744602799009,
      1.7087817226125854,
      1.6776846553341018,
      1.647405062588334,
      1.617900993389847,
      1.5891353843280054,
      1.5610748078161483,
      1.5336865799528165,
      1.5069398522157615,
      1.4808071511451923,
      1.4552636152415463,
      1.4302864575917453,
      1.4058545825880018,
      1.3819484803055653,
      1.3585512459487745,
      1.33564733865749,
      1.3132214705907364,
      1.2912587382995788,
      1.2697446980387987,
      1.2486654070536132,
      1.2280074419177365,
      1.2077579020843248,
      1.187904402924856,
      1.1684355778059166,
      1.1493420747343688,
      1.1306148248468832,
      1.1122454807479873,
      1.0942258568522565,
      1.0765482785859672,
      1.0592066707703751,
      1.0421949193319995,
      1.0255061151579095,
      1.0091329275829204,
      0.9930678458789952,
      0.9773033371678992,
      0.9618319461485588,
      0.9466463584441036,
      0.9317394384316597,
      0.9171042503380107,
      0.902734069010137,
      0.8886223834389083,
      0.8747628955326195,
      0.8611495165692137,
      0.847776361455037,
      0.8346377421766306,
      0.8217281606024635,
      0.8090423014438674,
      0.7965750246012132,
      0.7843213580474271,
      0.7722764910960278,
      0.7604357675943323,
      0.7487946795923918,
      0.7373488608384201,
      0.7260940808721633,
      0.7150262396188696,
      0.7041413619515612,
      0.6934355924725027,
      0.6829051908407884,
      0.6725465271282093,
      0.6623560774229533,
      0.6523304193110314,
      0.6424662280591822,
      0.6327602324266878,
      0.6232092156460848,
      0.613810071795415,
      0.6045597994267775,
      0.595455490694196,
      0.5864943241958038,
      0.5776735591478707,
      0.5689905303957375,
      0.5604426447074627,
      0.5520273770688129,
      0.5437422676546059,
      0.535584919568731,
      0.5275529961971521,
      0.5196442187741266,
      0.5118563645551306,
      0.5041872645931739,
      0.49663480227490664,
      0.48919691148442224,
      0.4818714155003538,
      0.47465577138560716,
      0.467547589059949,
      0.4605446918570723,
      0.45364505987569126,
      0.4468467910604276,
      0.44014820200499144,
      0.43354797745198803,
      0.42704479653173594,
      0.4206372580841402,
      0.41432391793225476,
      0.40810331380468257,
      0.40197398154116637,
      0.3959344660795896,
      0.3899833277794432,
      0.38411914716493795,
      0.37834052716920463,
      0.37264624746819397,
      0.36703565436269014,
      0.3615080204224691,
      0.35606241574521963,
      0.3506977854597186,
      0.34541300074526043,
      0.34020699701501933,
      0.3350786544991124,
      0.33002666518366747,
      0.3250497648399939,
      0.3201467266093081,
      0.315316355634878,
      0.3105574854535129,
      0.305868975347832,
      0.3012497210900372,
      0.29669873518529055,
      0.29221506862445895,
      0.2877977527648,
      0.28344582415827874,
      0.279158313486837,
      0.2749342497258806,
      0.27077266645265347,
      0.26667260601705156,
      0.2626331220119128,
      0.25865328102195506,
      0.2547322887145688,
      0.25086968742768523,
      0.2470649454959271,
      0.2433174108248405,
      0.2396263557954848,
      0.23599100726747424,
      0.23241056666621537,
      0.22888422318292878,
      0.2254111627208379,
      0.22199057344949716,
      0.21862164964378727,
      0.2153035942175061,
      0.21203562026807088,
      0.20881689184753066,
      0.20564653356710424,
      0.2025237169890964,
      0.19944765470734543,
      0.1964175907936927,
      0.19343279416609457,
      0.19049255391262934,
      0.18759617641552542,
      0.18474298309406176,
      0.18193230893697762,
      0.1791635015658489,
      0.1764359202274756,
      0.17374893545144376,
      0.17110192835365337,
      0.168494290513186,
      0.1659254234549096,
      0.1633947385265608,
      0.16090165665396314,
      0.15844560810843117,
      0.15602603229860645,
      0.15364237750972942,
      0.15129410099736001,
      0.14898066860295325,
      0.14670155458376025,
      0.14445624149753203,
      0.1422442201807481,
      0.14006498936180758,
      0.13791805564050766,
      0.13580293341992536,
      0.1337191448169053,
      0.13166621934068728,
      0.12964369378420829,
      0.12765111218154318,
      0.12568802570499155,
      0.12375399253885525,
      0.12184857759704125,
      0.11997135254110111,
      0.11812189576216506,
      0.11629979211028789,
      0.11450463286072574,
      0.11273601551606746,
      0.11099354373632384,
      0.1092768273591404,
      0.10758548222972442,
      0.10591912996799811,
      0.10427739812988078,
      0.10265991989200723,
      0.1010663339904165,
      0.09949628466502235,
      0.09794942160346484,
      0.09642539993525527,
      0.09492387984339991,
      0.0934445267274619,
      0.09198701121287227,
      0.09055100871376635,
      0.08913619966743305,
      0.08774226935979378,
      0.08636890784445782,
      0.08501580976332604,
      0.08368267448591413,
      0.08236920582588847,
      0.0810751121649587,
      0.07980010618202067,
      0.07854390492245142,
      0.0773062297776795,
      0.07608680614944985,
      0.07488536361854371,
      0.07370163595634156,
      0.07253536076053253,
      0.07138627962589918,
      0.0702541380597646,
      0.06913868534737089,
      0.06803967456504964,
      0.06695686242874632,
      0.0658900093564396,
      0.0648388792480177,
      0.06380323963463319,
      0.06278286153241859,
      0.06177751927739632,
      0.06078699065563879,
      0.059811056776073686,
      0.05884950192337725,
      0.05790211367749083,
      0.05696868275872348,
      0.05604900297388397,
      0.05514287122485297,
      0.05425008741394986,
      0.053370454405219356,
      0.05250377801895146,
      0.0516498670246673,
      0.05080853305933368,
      0.049979590413084744,
      0.04916285625139025,
      0.04835815035792675,
      0.04756529530726612,
      0.04678411623165199,
      0.046014440861247875,
      0.04525609946614888,
      0.04450892478877559,
      0.04377275218305572,
      0.04304741946789869,
      0.04233276671633248,
      0.04162863648634096,
      0.04093487356140135,
      0.04025132515794473,
      0.03957784065183448,
      0.03891427157421624,
      0.038260471803096385,
      0.037616297296453695,
      0.03698160627230724,
      0.03635625900286033,
      0.03574011770246281,
      0.035133046668001745,
      0.03453491230640062,
      0.033945582871272674,
      0.033364928518194586,
      0.03279282154578768,
      0.0322291360179875,
      0.03167374778803169,
      0.03112653457976978,
      0.030587376089177602,
      0.030056153641775673,
      0.029532750199858196,
      0.029017050662347242,
      0.02850894155485628,
      0.028008311089046608,
      0.027515049164395792,
      0.027029047243376368,
      0.026550198346884497,
      0.02607839711953678,
      0.02561353981837424,
      0.025155524148734544,
      0.024704249347814705,
      0.02425961618482056,
      0.023821526852641484,
      0.023389884998573213,
      0.02296459561454656,
      0.02254556519328935,
      0.02213270163581359,
      0.02172591410079785,
      0.021325113186591523,
      0.02093021083090639,
      0.02054112015038911,
      0.020157755521889264,
      0.01978003258427861,
      0.019407868277027764,
      0.019041180737522295,
      0.0186798893684109,
      0.01832391476358465,
      0.017973178657931063,
      0.017627604027861184,
      0.01728711489127336,
      0.016951636359719083,
      0.01662109465026724,
      0.016295417050756725,
      0.01597453192746575,
      0.01565836874965624,
      0.0153468580485994,
      0.015039931399661576,
      0.014737521389348649,
      0.014439561472056483,
      0.014145986109887296,
      0.013856730795509167,
      0.013571731907486407,
      0.013290926836043713,
      0.013014253852222933,
      0.012741652069180208,
      0.012473061572598029,
      0.012208423344523012,
      0.01194767921654624,
      0.011690771959593727,
      0.011437645034146604,
      0.011188242801163909,
      0.010942510405267038,
      0.01070039396069838,
      0.010461840269727655,
      0.010226796894010674,
      0.009995212101409932,
      0.00976703505760276,
      0.00954221557572294,
      0.009320704129315557,
      0.009102452090721039,
      0.008887411546618904,
      0.008675535237128367,
      0.008466776605939535,
      0.008261089808423064,
      0.008058429544350508,
      0.007858751242892707,
      0.007662011135752157,
      0.007468165970903092,
      0.007277173122834251,
      0.0070889905969219414,
      0.00690357701740156,
      0.006720891700268294,
      0.006540894455473671,
      0.006363545798278727,
      0.006188806800574491,
      0.006016638963499327,
      0.005847004441786703,
      0.005679865990583659,
      0.005515186921010155,
      0.005352931000752607,
      0.005193062509111831,
      0.005035546274760647,
      0.004880347817642935,
      0.004727433080279342,
      0.0045767683574083695,
      0.004428320475564481,
      0.004282056898227232,
      0.004137945451643456,
      0.003995954567642448,
      0.0038560529752523715,
      0.003718209959671698,
      0.003582395107918143,
      0.0034485785776519097,
      0.003316731088153875,
      0.0031868236208682215,
      0.0030588275980825493,
      0.002932714929993302,
      0.0028084580185773907,
      0.002686031042527136,
      0.0025654085389864773,
      0.002446564941331407,
      0.0023294747331802654,
      0.00221411247546887,
      0.0021004529418739075,
      0.0019884711405466545,
      0.001878142604406592,
      0.0017694429702484744,
      0.001662348213978343,
      0.0015568346900184738,
      0.0014528790638544864,
      0.0013504584176099981,
      0.0012495500519930343,
      0.0011501316134074682,
      0.0010521811398315367,
      0.000955677050895991,
      0.0008605979421989325,
      0.0007669227177480313,
      0.0006746306916405849,
      0.0005837013921129281,
      0.0004941147485176482,
      0.0004058509043406904,
      0.00031889036184477333,
      0.00023321388658778942,
      0.0001488025145000242,
      6.563751560706396e-05,
      -1.6299507724683478e-05,
      -9.702666774294629e-05,
      -0.00017656180487888085,
      -0.00025492259615794884,
      -0.00033212631275854185,
      -0.00040818993873179406,
      -0.00048313046688598605,
      -0.0005569644308654335,
      -0.0006297081228799148,
      -0.0007013778168565791,
      -0.0007719892402751993,
      -0.0008415580625944459,
      -0.0009100996894546472,
      -0.0009776292785419701,
      -0.00104416172280252,
      -0.0011097117598280165,
      -0.0011742938833164966,
      -0.0012379224319235779,
      -0.001300611384701797,
      -0.0013623746448977623,
      -0.0014232259864762772,
      -0.001483178815541849,
      -0.0015422463247885996,
      -0.0016004416407400556,
      -0.0016577777034675473,
      -0.0017142672219748105,
      -0.0017699227050505762,
      -0.0018247563831814814,
      -0.001878780402788363,
      -0.0019320067085886053,
      -0.001984447052306761,
      -0.0020361130197446265,
      -0.002087016063468636,
      -0.0021371675478188013,
      -0.0021865786027762016,
      -0.0022352600530589407
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566695828207134,
      10.336152457621058,
      10.097467533118714,
      9.853753840225384,
      9.60751243524587,
      9.360921137106294,
      9.115880557227795,
      8.87398041296807,
      8.636467315138418,
      8.404268455883468,
      8.178015884507026,
      7.958065277457595,
      7.744525832689531,
      7.537297989907815,
      7.336109450213721,
      7.14056194365238,
      6.95017941811285,
      6.764444593496364,
      6.582830320881097,
      6.4048289498583815,
      6.22997004329561,
      6.057819412088234,
      5.887999327350641,
      5.720203954402333,
      5.554201580587743,
      5.3898375907091065,
      5.227034752479431,
      5.0657980052183165,
      4.90620063087471,
      4.748373891930786,
      4.592519600815116,
      4.438901828715026,
      4.287850123855934,
      4.139748109446767,
      3.9949976281614394,
      3.854000967090584,
      3.7171461309026648,
      3.5847990912298435,
      3.457289243838475,
      3.3348968912052785,
      3.217847964934526,
      3.106311116401653,
      3.000396788203208,
      2.9001463620106183,
      2.805528240749531,
      2.7164460175472285,
      2.6327637223399525,
      2.554287247370949,
      2.480777752059944,
      2.4119926188757645,
      2.3476772040892335,
      2.287541030621443,
      2.231264950761499,
      2.1784970703247026,
      2.128853642230861,
      2.081969582820808,
      2.0375100467156164,
      1.9951656689793422,
      1.9546670153025432,
      1.9157879525038488,
      1.8783497719259448,
      1.8422101638886745,
      1.8072511784799696,
      1.7733693951120328,
      1.740479505530104,
      1.7085123972605847,
      1.677411022188187,
      1.6471270949389416,
      1.6176187018102395,
      1.5888488049845115,
      1.560784007897267,
      1.5333916571875188,
      1.5066409015825277,
      1.480504265404247,
      1.454956885006167,
      1.4299759722076912,
      1.405540429580635,
      1.3816307667377474,
      1.358230108189294,
      1.3353228945266782,
      1.3128938252569051,
      1.2909279869465624,
      1.2694109290662854,
      1.2483287034166275,
      1.2276678830447354,
      1.2074155641850026,
      1.187559359771818,
      1.1680880463100256,
      1.148992283756526,
      1.130262960701264,
      1.111891709948489,
      1.0938703162419587,
      1.0761912056330483,
      1.0588484444030475,
      1.0418358052211572,
      1.0251463042229043,
      1.008772560170919,
      0.9927070283826539,
      0.9769421528830519,
      0.961470462829708,
      0.9462846333829906,
      0.9313775216256878,
      0.916742187382061,
      0.902371901936696,
      0.8882601519489532,
      0.8744006377551752,
      0.8607872692494425,
      0.8474141602830272,
      0.8342756221052267,
      0.8213661559512174,
      0.8086804459929982,
      0.7962133514725855,
      0.7839599001347848,
      0.7719152807744816,
      0.7600748368781948,
      0.74843405990194,
      0.7369885832158342,
      0.72573417570494,
      0.7146667371936031,
      0.7037822920322309,
      0.6930769841503917,
      0.6825470729856741,
      0.6721889280429513,
      0.6619990246165224,
      0.6519739398474907,
      0.6421103486943875,
      0.63240497767719,
      0.622854609278841,
      0.613456138002907,
      0.6042065622416718,
      0.5951029739826925,
      0.5861425516950218,
      0.5773225543693739,
      0.5686403164975478,
      0.5600932441299202,
      0.5516788119004262,
      0.5433945595334541,
      0.5352380894494216,
      0.5272070645940617,
      0.5192992060232156,
      0.5115122904598188,
      0.5038441487503627,
      0.4962926637591036,
      0.4888557687294145,
      0.48153133145255084,
      0.47431683672288727,
      0.4672098692851666,
      0.4602082356758971,
      0.45330990448041397,
      0.4465129659201833,
      0.4398158062264069,
      0.43321711951072883,
      0.42671555150585394,
      0.42030967818539766,
      0.4139980396698906,
      0.40777916328454084,
      0.4016515778412441,
      0.3956138232742968,
      0.389664456840897,
      0.3838020567295775,
      0.3780252242675689,
      0.37233282451306177,
      0.36672422779596875,
      0.36119866528036354,
      0.35575518003268264,
      0.35039269928063865,
      0.34511008218460737,
      0.3399062843327557,
      0.3347801791482407,
      0.3297304445949779,
      0.32475580827179407,
      0.3198550379501575,
      0.31502693508989693,
      0.3102703305527367,
      0.3055840818657997,
      0.30096709074613,
      0.29641837866588433,
      0.2919369900532704,
      0.2875219534378734,
      0.2831723024603604,
      0.2788870652275416,
      0.27466526898542076,
      0.2705059460118971,
      0.26640813771678457,
      0.2623708971831474,
      0.25839329054320126,
      0.254474544869888,
      0.2506142038481894,
      0.24681172731481255,
      0.2430664573627359,
      0.23937766239542643,
      0.23574456674422303,
      0.23216637014663166,
      0.22864226056963902,
      0.2251714229331975,
      0.2217530448759267,
      0.21838632031090316,
      0.21507045179076284,
      0.21180465216447647,
      0.20858808046117666,
      0.2054198609267905,
      0.20229916688010893,
      0.19922521215380298,
      0.19619724156994497,
      0.19321452462784888,
      0.1902763507532632,
      0.18738202646061292,
      0.18453087327364534,
      0.18172222647385,
      0.17895543357843585,
      0.17622985387903545,
      0.17354485780549941,
      0.17089982653408844,
      0.16829415158978273,
      0.1657272346084071,
      0.1631984868694973,
      0.16070732924166523,
      0.15825319205105834,
      0.15583551473881946,
      0.15345374570187942,
      0.1511073419921838,
      0.14879576939515263,
      0.14651850228451146,
      0.14427502322050545,
      0.1420648229784671,
      0.13988740035876998,
      0.13774226199399356,
      0.13562892228093837,
      0.13354690327126556,
      0.13149573454676056,
      0.1294749529004696,
      0.12748410244042643,
      0.1255227342126193,
      0.12359040639246008,
      0.12168668404633236,
      0.1198111388573642,
      0.11796334921501304,
      0.1161428999444021,
      0.11434938230392783,
      0.11258239392692139,
      0.11084153854225426,
      0.10912642596261585,
      0.1074366719776694,
      0.10577189836248159,
      0.10413173263209735,
      0.10251580797403616,
      0.10092376319949294,
      0.0993552427069771,
      0.0978098961593345,
      0.09628737861761526,
      0.09478735034307796,
      0.0933094768969072,
      0.09185342880619082,
      0.09041888163540562,
      0.08900551586472571,
      0.08761301680498648,
      0.08624107457993173,
      0.0848893838645706,
      0.08355764404026297,
      0.08224555902884309,
      0.08095283720995644,
      0.07967919129663059,
      0.07842433842663157,
      0.077187999926068,
      0.07596990129477381,
      0.07476977226047864,
      0.07358734655879094,
      0.07242236186118253,
      0.07127455992088824,
      0.07014368618635469,
      0.06902949008307895,
      0.06793172479505051,
      0.06685014707541227,
      0.06578451738538056,
      0.06473459978254369,
      0.06370016173958001,
      0.06268097428737866,
      0.06167681181795772,
      0.06068745216410948,
      0.05971267649115281,
      0.05875226917893707,
      0.057806017899995774,
      0.05687371342390142,
      0.05595514964928552,
      0.055050123599892,
      0.054158435273330925,
      0.05327988760252036,
      0.05241428640294877,
      0.05156144040356983,
      0.05072116134625598,
      0.0498932636794437,
      0.04907756458064189,
      0.04827388394738644,
      0.04748204435096871,
      0.04670187097805254,
      0.04593319163603304,
      0.04517583670799394,
      0.044429639139820745,
      0.04369443417296339,
      0.04297005966484404,
      0.04225635589414897,
      0.04155316546161352,
      0.04086033327250182,
      0.04017770640405426,
      0.039505134321346794,
      0.038842468717647266,
      0.03818956351566045,
      0.03754627478866305,
      0.03691246074655792,
      0.036287981673391215,
      0.035672699926727086,
      0.035066479948130246,
      0.03446918800797102,
      0.03388069257471553,
      0.03330086398599473,
      0.032729574486900774,
      0.03216669810652668,
      0.03161211089154896,
      0.031065690797758505,
      0.030527317385028042,
      0.029996872015141677,
      0.029474237801787408,
      0.02895929966917754,
      0.028451944226903204,
      0.02795205972113706,
      0.027459536068691708,
      0.02697426477030305,
      0.0264961389633798,
      0.02602505344321773,
      0.025560904499637306,
      0.025103589854945957,
      0.024653008817257335,
      0.02420906213471996,
      0.02377165213526,
      0.02334068250327558,
      0.022916058392618795,
      0.02249768632900982,
      0.022085474276745863,
      0.021679331422990545,
      0.02127916834413293,
      0.02088489693377805,
      0.020496430366428262,
      0.020113683196339417,
      0.01973657123918781,
      0.019365011496908342,
      0.018998922124953153,
      0.018638222678252336,
      0.018282833674969003,
      0.01793267701661931,
      0.017587675535892588,
      0.01724775337500973,
      0.01691283575824466,
      0.016582848883641782,
      0.016257720129747053,
      0.01593737800003784,
      0.015621752027198505,
      0.015310772827639223,
      0.015004371969737043,
      0.014702481946950664,
      0.01440503636509557,
      0.014111969681889238,
      0.01382321746521016,
      0.013538716223394186,
      0.013258403416992554,
      0.012982217257792828,
      0.012710096975868885,
      0.012441982784539297,
      0.012177815639592545,
      0.011917537459578926,
      0.011661091069575639,
      0.011408419945104527,
      0.01115946851846768,
      0.010914182069916487,
      0.010672506595371285,
      0.010434388834129515,
      0.010199776481401584,
      0.009968617919346974,
      0.009740862390108716,
      0.00951645971382577,
      0.009295360460784885,
      0.009077516126459559,
      0.008862878743919538,
      0.00865140109021703,
      0.008443036590005653,
      0.008237739488984432,
      0.008035464687300601,
      0.007836167683230928,
      0.007639804602273567,
      0.007446332196566759,
      0.007255707878953197,
      0.007067889695822149,
      0.006882836372060443,
      0.006700507244860482,
      0.006520862173970306,
      0.006343861708591363,
      0.0061694668880420515,
      0.005997639273352628,
      0.005828341190765131,
      0.0056615353930393,
      0.005497185148606233,
      0.005335254307472128,
      0.00517570719098176,
      0.005018508700020248,
      0.004863624304299562,
      0.004711020072332546,
      0.004560662302929295,
      0.004412517882687457,
      0.004266554276811206,
      0.004122739357018908,
      0.0039810415678806065,
      0.00384142976493689,
      0.0037038731305840487,
      0.0035683413838609574,
      0.0034348047951484805,
      0.003303234005878782,
      0.0031735999897427487,
      0.003045874294840739,
      0.002920028861911674,
      0.002796036047624423,
      0.0026738688283185715,
      0.002553501959648812,
      0.002434910293298257,
      0.0023180685321567388,
      0.0022029514300966487,
      0.002089533896304154,
      0.00197779124025173,
      0.0018676989921294067,
      0.0017592327940550438,
      0.0016523686606229864,
      0.001547083024756272,
      0.0014433526768801337,
      0.0013411546802875064,
      0.0012404663446437577,
      0.0011412654168320856,
      0.0010435299046462464,
      0.0009472381555456188,
      0.0008523688610066098,
      0.0007589010999425661,
      0.0006668141038393711,
      0.000576087563497785,
      0.00048670117381108713,
      0.0003986351456370827,
      0.0003118700582206548,
      0.0002263867574381663,
      0.00014216626157497153,
      5.9189979317167865e-05,
      -2.256052854018929e-05,
      -0.00010310346244289368,
      -0.00018245654390056562,
      -0.0002606373521420779,
      -0.0003376632341797001,
      -0.00041355122657370913,
      -0.0004883181922465392,
      -0.0005619807850228149,
      -0.0006345552159274706,
      -0.0007060574632348519,
      -0.0007765034495488049,
      -0.0008459088054346608,
      -0.0009142889117161156,
      -0.0009816589471662576,
      -0.0010480336935336355,
      -0.0011134278927088439,
      -0.001177856050012805,
      -0.001241332453001597,
      -0.0013038711194658823,
      -0.0013654859288025356,
      -0.0014261904728905665,
      -0.0014859982621702862,
      -0.001544922600612759,
      -0.001602976497832294,
      -0.0016601728411680043,
      -0.0017165242236839762,
      -0.0017720431907766072,
      -0.0018267419521774606,
      -0.0018806326462689044,
      -0.0019337272477213147,
      -0.0019860374554976374,
      -0.0020375749106363934,
      -0.00208835103830025,
      -0.002138377118079649,
      -0.0021876641437877423,
      -0.0022362231020060584
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566693358622988,
      10.336140795671456,
      10.097440582942724,
      9.85370664783418,
      9.60744102257547,
      9.360822805310837,
      9.11575363845831,
      8.87382422086261,
      8.63628212870991,
      8.404054846122351,
      8.177774533572883,
      7.957796875062474,
      7.7442310016633185,
      7.536977113508148,
      7.335762556292748,
      7.140189008725129,
      6.9497803874129085,
      6.764019417446336,
      6.582379002704291,
      6.404351635675976,
      6.2294670567815125,
      6.057291347790179,
      5.887446949059903,
      5.719628248033044,
      5.553603812868687,
      5.38921929342355,
      5.226397748926252,
      5.065144441834021,
      4.90553282813453,
      4.747694427380045,
      4.591831384733545,
      4.438207991833224,
      4.2871544917979945,
      4.139054827512162,
      3.994310791884272,
      3.8533245162637155,
      3.716483851677565,
      3.584154599816424,
      3.456665757818768,
      3.334297186700794,
      3.2172743478240045,
      3.1057654105203083,
      2.9998802663435282,
      2.899659690595105,
      2.8050714050723733,
      2.716018416270244,
      2.6323642858774097,
      2.5539142155540793,
      2.4804290398706703,
      2.4116660152728246,
      2.347370407898864,
      2.287251523177149,
      2.2309901250246305,
      2.1782339359982172,
      2.1285992791116835,
      2.08172123729663,
      2.0372652539932985,
      1.9949222911039461,
      1.9544233525359886,
      1.915542743757162,
      1.8781021098535302,
      1.8419593878219145,
      1.8069968137979555,
      1.773111108245483,
      1.7402170875508491,
      1.708245719884289,
      1.677140008218679,
      1.6468517195376196,
      1.617338977068078,
      1.5885647687781008,
      1.5604957287965129,
      1.5330992336569431,
      1.5063444290860601,
      1.4802038374353486,
      1.4546525935559678,
      1.4296679072616711,
      1.4052286800827027,
      1.3813154413803104,
      1.3579113440552495,
      1.335000809990851,
      1.312568525722529,
      1.2905995681163254,
      1.2690794793217737,
      1.2479943066260586,
      1.227330619152766,
      1.2070755100749457,
      1.1872165894309192,
      1.1677427764504402,
      1.1486447437406275,
      1.1299133373788666,
      1.1115401701450256,
      1.0935169971381282,
      1.0758363452592803,
      1.0584924222684784,
      1.0414788868297866,
      1.0247886802365567,
      1.0084143705842683,
      0.9923483792884346,
      0.9765831275286148,
      0.9611111293717479,
      0.9459250494538805,
      0.931017737906319,
      0.9163822494231075,
      0.9020118522159779,
      0.8879000303369394,
      0.8740404825261973,
      0.8604271175211285,
      0.8470540482922638,
      0.8339155849645193,
      0.8210062283102006,
      0.8083206617742673,
      0.795853744309965,
      0.7836005030392961,
      0.7715561262231763,
      0.759715956613626,
      0.7480754853835224,
      0.7366303454515525,
      0.7253763055069377,
      0.7143092643055255,
      0.7034252460024075,
      0.6927203944334753,
      0.6821909680444177,
      0.6718333359663443,
      0.6616439733480379,
      0.6516194568467897,
      0.6417564608707342,
      0.6320517094056864,
      0.622501984524465,
      0.6131041809858222,
      0.6038552970539064,
      0.5947524247326612,
      0.5857927422898801,
      0.5769735082146508,
      0.5682920564944732,
      0.5597457927417948,
      0.5513321911865204,
      0.5430487913031746,
      0.5348931952835517,
      0.5268630652999736,
      0.5189561218969654,
      0.5111701413882282,
      0.503502954027617,
      0.4959524422271554,
      0.48851653896303593,
      0.48119314367700744,
      0.47397978627762133,
      0.46687402479124873,
      0.45987364793670216,
      0.4529766122295948,
      0.4461810012437889,
      0.4394852703054213,
      0.4328881203485371,
      0.4263881632714341,
      0.41998395209638684,
      0.41367401189033465,
      0.40745685966184436,
      0.40133101728072335,
      0.39529501996573635,
      0.3893474216502041,
      0.3834867982957282,
      0.377711749629426,
      0.37202123925713254,
      0.3664146430844668,
      0.36089115312144965,
      0.35544978613763334,
      0.3500894519306054,
      0.34480899815638794,
      0.339607399981563,
      0.33448352513470925,
      0.32943603897166707,
      0.3244636608720003,
      0.3195651527980149,
      0.31473931232848634,
      0.30998496787148216,
      0.30530097525463107,
      0.30068624196719357,
      0.29613979853020744,
      0.2916606825601705,
      0.2872479198145314,
      0.282900541242895,
      0.27861757234300605,
      0.27439803836847015,
      0.27024097049197787,
      0.2661454093137108,
      0.26211040720681317,
      0.2581350297649466,
      0.2542185253418516,
      0.2503604389705177,
      0.24656022211708412,
      0.24281721120114463,
      0.23913067077489247,
      0.2354998223992151,
      0.23192386409726573,
      0.2284019826862181,
      0.22493336225341393,
      0.221517189866624,
      0.218152658896815,
      0.2148389716349757,
      0.21157534075521547,
      0.20836092035015102,
      0.20519483420906598,
      0.20207625737950954,
      0.19900440496885158,
      0.19597852263619955,
      0.19299788025708745,
      0.19006176763099478,
      0.1871694914786756,
      0.1843203735025474,
      0.18151374891872477,
      0.17874896544257718,
      0.1760253823695788,
      0.17334237016729015,
      0.17069930999371108,
      0.16809559330558616,
      0.16553062173987612,
      0.16300380669696593,
      0.1605145689870389,
      0.15806233888846102,
      0.15564655577891173,
      0.15326666793721236,
      0.1509221325404495,
      0.14861241542460069,
      0.14633699092580513,
      0.14409534164378768,
      0.14188695817712313,
      0.13971133932018948,
      0.13756799189566607,
      0.13545643029179283,
      0.13337617653112363,
      0.131326760183203,
      0.1293077181027456,
      0.12731859434863896,
      0.12535894012455875,
      0.12342831358876252,
      0.12152627971705066,
      0.11965241029521934,
      0.11780628371600087,
      0.11598748483539104,
      0.11419560494464405,
      0.11243024156556838,
      0.11069099848183489,
      0.10897748563197487,
      0.10728931886292903,
      0.10562611996380197,
      0.10398751642661151,
      0.10237314152488154,
      0.1007826341375359,
      0.099215638560189,
      0.09767180453136504,
      0.09615078715004421,
      0.09465224681128741,
      0.09317584908364605,
      0.09172126451522328,
      0.0902881687173304,
      0.08887624233234485,
      0.0874851706307129,
      0.08611464370305022,
      0.08476435629677165,
      0.083434007885304,
      0.08212330237872381,
      0.08083194821559,
      0.0795596583245804,
      0.0783061498572215,
      0.07707114425351239,
      0.07585436701455461,
      0.07465554784885821,
      0.0734744205635964,
      0.07231072300231618,
      0.07116419679680454,
      0.0700345875843597,
      0.06892164483889425,
      0.06782512168089352,
      0.06674477489771147,
      0.06568036500615354,
      0.06463165616952035,
      0.06359841602960471,
      0.06258041568168343,
      0.06157742963983714,
      0.06058923577402389,
      0.0596156152367902,
      0.05865635246278615,
      0.057711235116820914,
      0.05678005406330584,
      0.055862603300369296,
      0.05495867977459796,
      0.05406808368759689,
      0.05319061806064027,
      0.05232608878078162,
      0.05147430471473315,
      0.05063507758286453,
      0.049808221824771404,
      0.04899355467551112,
      0.04819089620149029,
      0.047400069019170564,
      0.046620898472329565,
      0.04585321233909721,
      0.04509684112715207,
      0.04435161776847462,
      0.04361737768303051,
      0.04289395867661661,
      0.042181200987866284,
      0.04147894733806703,
      0.04078704271720965,
      0.04010533447732333,
      0.039433672062902526,
      0.03877190722957918,
      0.038119893959740504,
      0.037477488418767614,
      0.03684454881450031,
      0.036220935538092205,
      0.03560651093467146,
      0.03500113952385424,
      0.03440468779885321,
      0.033817024144972264,
      0.03323801893338896,
      0.032667544540446646,
      0.032105475046665895,
      0.03155168654033524,
      0.03100605700926945,
      0.03046846612184475,
      0.029938795336081916,
      0.029416927894610617,
      0.028902748718342954,
      0.028396144389469906,
      0.027897003274316736,
      0.02740521536706475,
      0.026920672323902026,
      0.026443267351420618,
      0.025972895170583106,
      0.02550945212665775,
      0.025052836114575715,
      0.02460294652954332,
      0.024159684134209256,
      0.023722951274693743,
      0.023292651733950006,
      0.02286869067315192,
      0.02245097471884946,
      0.022039411730584674,
      0.02163391109583333,
      0.02123438354703589,
      0.020840740996378657,
      0.020452896699859117,
      0.02007076531830013,
      0.019694262659550498,
      0.019323305787788243,
      0.01895781299740875,
      0.018597703652118838,
      0.01824289845437019,
      0.017893319312768788,
      0.01754888921400259,
      0.017209532290432074,
      0.0168751737196831,
      0.0165457399150774,
      0.01622115835802334,
      0.01590135753013772,
      0.015586266938183945,
      0.015275817238637166,
      0.014969940099410516,
      0.014668568167254366,
      0.014371634988304943,
      0.014079075243796866,
      0.013790824519151808,
      0.01350681939524594,
      0.013226997282198802,
      0.012951296428460688,
      0.012679656168588146,
      0.012412016767934998,
      0.012148319239315449,
      0.011888505550625946,
      0.01163251840344306,
      0.011380301485657588,
      0.011131799205822185,
      0.010886956882355595,
      0.01064572056716934,
      0.010408037234847373,
      0.010173854612767522,
      0.009943121071504218,
      0.009715785740327816,
      0.009491798625775897,
      0.009271110409009931,
      0.00905367248792637,
      0.008839436875193127,
      0.008628356461850253,
      0.008420384876939472,
      0.008215476324709934,
      0.008013585633828486,
      0.007814668271046621,
      0.007618680529042956,
      0.0074255792021421935,
      0.007235321830419593,
      0.007047866532982507,
      0.006863172085413652,
      0.006681197770634944,
      0.006501903448131147,
      0.006325249778147714,
      0.006151197889248329,
      0.005979709333766223,
      0.005810746331336251,
      0.005644271786169722,
      0.005480249006757932,
      0.005318641964187181,
      0.005159414985080468,
      0.005002533005785454,
      0.004847961580862829,
      0.0046956665507953054,
      0.004545614404111292,
      0.00439777220305214,
      0.004252107339761747,
      0.004108587796505822,
      0.003967181987933793,
      0.0038278587835487094,
      0.003690587525509428,
      0.0035553378827065415,
      0.0034220801580848253,
      0.0032907850764808786,
      0.0031614236506968016,
      0.0030339674048910606,
      0.0029083882691748474,
      0.0027846585392419863,
      0.0026627510477340815,
      0.0025426395660908168,
      0.002424299140859522,
      0.002307704984186671,
      0.002192832268533966,
      0.002079656118226293,
      0.0019681517916966093,
      0.0018582948642377128,
      0.0017500611956937613,
      0.001643426918402061,
      0.0015383685025766904,
      0.0014348626448135097,
      0.001332886405546887,
      0.0012324172653902865,
      0.0011334328902643212,
      0.0010359113747710528,
      0.0009398310732948177,
      0.0008451707376955906,
      0.0007519094276032875,
      0.0006600264217534382,
      0.0005695013721065665,
      0.0004803141920353437,
      0.0003924452511688206,
      0.00030587489740070234,
      0.00022058397152571778,
      0.0001365535473023517,
      5.3765016341518685e-05,
      -2.779994685791141e-05,
      -0.00010815945676673642,
      -0.00018733132259712298,
      -0.0002653330354906631,
      -0.0003421819581560478,
      -0.0004178951512570057,
      -0.0004924893639788103,
      -0.0005659811125607451,
      -0.0006383867515772201,
      -0.0007097222453921422,
      -0.0007800034663410447,
      -0.0008492460405241861,
      -0.0009174652185722678,
      -0.0009846761200148074,
      -0.0010508937096454576,
      -0.0011161327420567857,
      -0.0011804076159119088,
      -0.0012437325068152185,
      -0.0013061215183477039,
      -0.0013675884385532377,
      -0.0014281469275187156,
      -0.0014878104311963074,
      -0.0015465921704961969,
      -0.0016045052122246595,
      -0.0016615622851437614,
      -0.0017177760653269295,
      -0.0017731590476765683,
      -0.0018277235823399185,
      -0.0018814817513988164,
      -0.0019344454291048182,
      -0.0019866263220544183,
      -0.002038036002491939,
      -0.0020886859219242057,
      -0.0021385872460903082,
      -0.0021877510261094496,
      -0.0022361881718199043
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566690897176862,
      10.336129171137141,
      10.09741371223053,
      9.853659591988938,
      9.607369817026404,
      9.360724763352989,
      9.115627101496008,
      8.873668507531775,
      8.636097521141338,
      8.403841916348348,
      8.177533965274847,
      7.957529357437828,
      7.743937157043634,
      7.5366573237733885,
      7.335416849053618,
      7.1398173606949085,
      6.949382743211605,
      6.76359572960516,
      6.581929284530625,
      6.403876038062158,
      6.228965900531745,
      6.056765226929086,
      5.886896627763134,
      5.71905471150566,
      5.553008327366127,
      5.38860338737606,
      5.225763241207745,
      5.064493473764053,
      4.9048677146740705,
      4.747017741045549,
      4.591146029943612,
      4.437517095728589,
      4.286461872682137,
      4.138364617563026,
      3.993627072020456,
      3.852651211598024,
      3.7158247327737945,
      3.583513266106324,
      3.456045411318842,
      3.333700588652701,
      3.216703791416052,
      3.105222707220926,
      2.9993666778584154,
      2.8991758738537006,
      2.804617338960678,
      2.71559349366073,
      2.6319674332210643,
      2.553543669835879,
      2.4800827158413097,
      2.4113417025689428,
      2.347065807217456,
      2.28696411739494,
      2.2307173113806242,
      2.1779727297835394,
      2.1283467671298033,
      2.0814746737231036,
      2.037022181388679,
      1.9946805788454178,
      1.9541813079005745,
      1.915299110640969,
      1.8778559847530922,
      1.8417101140164025,
      1.8067439192238186,
      1.7728542610937357,
      1.7399560815709076,
      1.7079804283890938,
      1.6768703550763542,
      1.6465776812947146,
      1.6170605670027287,
      1.588282025594184,
      1.5602087217770149,
      1.5328080623658233,
      1.5060491900077972,
      1.4799046253034767,
      1.4543495009500538,
      1.42936102521717,
      1.4049180976252935,
      1.3810012699729821,
      1.3575937199290065,
      1.3346798513648577,
      1.3122443375692412,
      1.2902722464447163,
      1.2687491134507711,
      1.247660980819379,
      1.226994413205104,
      1.2067365005765422,
      1.186874850946488,
      1.1673985270864173,
      1.1482982132376667,
      1.129564713117382,
      1.111189619173681,
      1.0931646598072124,
      1.0754825645377708,
      1.0581375378694962,
      1.0411231397144154,
      1.0244322444407696,
      1.0080573751245114,
      0.9919909234290613,
      0.9762252900423665,
      0.9607529751132253,
      0.9455666341709202,
      0.9306591108388436,
      0.9160234554242516,
      0.9016529330928407,
      0.8875410259223403,
      0.8736814310258018,
      0.8600680559503845,
      0.8466950127494155,
      0.8335566108936663,
      0.8206473501941314,
      0.8079619136312526,
      0.795495159621464,
      0.7832421149221751,
      0.7711979674914847,
      0.759358059602669,
      0.7477178819176272,
      0.7362730667259318,
      0.7250193821131256,
      0.7139527265783299,
      0.7030691238500065,
      0.692364716929381,
      0.6818357642059542,
      0.6714786342538952,
      0.6612898014614789,
      0.6512658422746991,
      0.6414034306443437,
      0.6316992882425756,
      0.6221501966212132,
      0.6127530505810848,
      0.6035048484262302,
      0.5944026821412705,
      0.5854437296037659,
      0.576625248738262,
      0.5679445733706628,
      0.5593991088657717,
      0.5509863287823266,
      0.5427037721798855,
      0.5345490405497663,
      0.5265197958858253,
      0.5186137581794534,
      0.5108287033442064,
      0.5031624613550099,
      0.49561291407918284,
      0.4881779937010692,
      0.4808556314232015,
      0.4736434024032195,
      0.4665388380579568,
      0.4595397091174815,
      0.45264395990715506,
      0.4458497025815191,
      0.4391554468735227,
      0.43255986069736635,
      0.4260615284332469,
      0.41965898486908887,
      0.41335074272064753,
      0.4071353105734539,
      0.4010112045219559,
      0.394976956048049,
      0.38903111640322896,
      0.3831722595778275,
      0.37739898407905176,
      0.37171035195504626,
      0.366105744783138,
      0.3605843156151425,
      0.35514505534743385,
      0.34978685639005846,
      0.344508555027131,
      0.33930914547519747,
      0.33418748977344903,
      0.32914224097900363,
      0.3241721100401627,
      0.319275853228816,
      0.31445226424674705,
      0.3097001689633919,
      0.30501842140879315,
      0.3004059378129269,
      0.2958617538641342,
      0.2913849008738001,
      0.2869744020381837,
      0.28262928563429845,
      0.2783485746063736,
      0.27413129247365375,
      0.2699764691796004,
      0.26588314463218643,
      0.26185037054827026,
      0.2578772121768229,
      0.25396293896510774,
      0.2501070972854072,
      0.24630913017354408,
      0.24256836829078818,
      0.23888407235422487,
      0.23525546151358323,
      0.23168173175094112,
      0.22816206862324473,
      0.22469565550297543,
      0.22128167880093486,
      0.21791933157778834,
      0.2146078160183035,
      0.21134634426972396,
      0.208134065453409,
      0.20497010318510994,
      0.20185363427032985,
      0.1987838749811887,
      0.19576007166590564,
      0.1927814947462061,
      0.1898474342857364,
      0.18695719720365012,
      0.18411010548765339,
      0.1813054943318357,
      0.17854271142670897,
      0.17582111616597942,
      0.17314007912418286,
      0.17049898135161495,
      0.16789721438858515,
      0.16533417975861225,
      0.16280928881156,
      0.16032196243246813,
      0.15787163079413843,
      0.15545773328019985,
      0.1530797182860788,
      0.15073704298089277,
      0.14842917309272216,
      0.14615558294635556,
      0.14391575513690158,
      0.14170918043018949,
      0.1395353576478926,
      0.1373937934615099,
      0.13528400227261203,
      0.13320550615354015,
      0.13115783457545105,
      0.12914052446395147,
      0.12715311998427833,
      0.12519517222734416,
      0.12326623943268322,
      0.12136588662214277,
      0.11949368547114826,
      0.11764921444883886,
      0.11583205847691237,
      0.11404180883164192,
      0.11227806312954618,
      0.11054042520004638,
      0.10882850500372437,
      0.1071419183729575,
      0.10548028709633828,
      0.10384323882548452,
      0.1022304067784739,
      0.1006414298690044,
      0.09907595247289634,
      0.0975336243528168,
      0.096014100715506,
      0.09451704195689159,
      0.09304211362838608,
      0.0915889863062202,
      0.09015733574519237,
      0.0887468425096432,
      0.08735719192636454,
      0.08598807414945338,
      0.08463918414973065,
      0.08331022130446135,
      0.08200088963534784,
      0.0807108976942178,
      0.07943995833710536,
      0.07818778864097153,
      0.07695411010293272,
      0.07573864838075504,
      0.07454113335716875,
      0.07336129892672158,
      0.07219888279691487,
      0.07105362672304057,
      0.06992527641729547,
      0.06881358125273263,
      0.06771829456583525,
      0.06663917336280967,
      0.06557597813788675,
      0.06452847297788451,
      0.06349642559114878,
      0.06247960726348263,
      0.06147779246817227,
      0.06049075910780929,
      0.059518288460490114,
      0.05856016503648106,
      0.0576161766378301,
      0.05668611418861148,
      0.055769771659254834,
      0.054866946174130925,
      0.05397743782228789,
      0.053101049663992345,
      0.05223758776398572,
      0.05138686105487868,
      0.050548681351285735,
      0.04972286324121683,
      0.048909223911495596,
      0.0481075834378919,
      0.04731776447848757,
      0.04653959236517087,
      0.04577289519223614,
      0.04501750338437072,
      0.04427324994463927,
      0.043539970422741825,
      0.04281750277216013,
      0.042105687229187304,
      0.041404366521801794,
      0.040713385766872,
      0.04003259221094621,
      0.0393618354914343,
      0.038700967461575524,
      0.038049842138406634,
      0.03740831571622198,
      0.036776246476911426,
      0.036153494963162884,
      0.035539923682765234,
      0.03493539704336753,
      0.03433978159040979,
      0.03375294583625483,
      0.03317476025316778,
      0.03260509716540687,
      0.03204383092528503,
      0.03149083755943043,
      0.030945995099206952,
      0.030409183276016858,
      0.029880283617778086,
      0.02935917938065118,
      0.028845755557315448,
      0.028339898885556384,
      0.02784149778736431,
      0.02735044228280823,
      0.026866624094278195,
      0.02638993647128154,
      0.025920274205823688,
      0.02545753378693647,
      0.025001613065838323,
      0.024552411486241665,
      0.024109830027989415,
      0.02367377106140114,
      0.02324413842335151,
      0.022820837333632008,
      0.022403774424474224,
      0.021992857699830674,
      0.021587996569464744,
      0.02118910174248305,
      0.02079608520217133,
      0.02040886037666096,
      0.02002734184424124,
      0.019651445482582307,
      0.019281088329797875,
      0.01891618883858745,
      0.018556666594856008,
      0.018202442282717748,
      0.01785343778075369,
      0.017509576123160706,
      0.017170781566993053,
      0.016836979524644476,
      0.016508096290468604,
      0.016184059330846604,
      0.01586479715890615,
      0.01555023941055386,
      0.015240316880275405,
      0.01493496121192497,
      0.01463410506320382,
      0.014337682153294057,
      0.014045627053996734,
      0.013757875454792644,
      0.01347436397427065,
      0.013195030032515744,
      0.012919812121017024,
      0.012648649586766564,
      0.012381482610957558,
      0.01211825232394413,
      0.011858900752731239,
      0.011603370720699826,
      0.011351605871382472,
      0.011103550714793376,
      0.010859150543222833,
      0.010618351521999254,
      0.010381100637421793,
      0.010147345558647365,
      0.009917034782322585,
      0.009690117576930116,
      0.009466543898191042,
      0.00924626451076793,
      0.009029230858692006,
      0.008815395180363918,
      0.008604710270055735,
      0.008397129750905612,
      0.008192607784714284,
      0.007991099362764466,
      0.007792560116635412,
      0.0075969462329079215,
      0.007404214574084377,
      0.00721432274473294,
      0.007027228950338699,
      0.006842891890764651,
      0.00666127083972676,
      0.006482325834908659,
      0.006306017457484068,
      0.00613230688752187,
      0.005961155732251708,
      0.005792526390901105,
      0.005626381633450198,
      0.005462684899989286,
      0.005301400067754011,
      0.005142491717086846,
      0.004985924775511986,
      0.0048316648194833105,
      0.004679677779920232,
      0.004529930145850587,
      0.00438238887731623,
      0.004237021549221758,
      0.00409379611596502,
      0.003952680887328639,
      0.003813644881282313,
      0.0036766575178875036,
      0.003541688670963049,
      0.0034087084671986104,
      0.0032776875441709236,
      0.003148597075097198,
      0.0030214085918422555,
      0.002896094090117083,
      0.002772625963294745,
      0.0026509771231985235,
      0.0025311207030817968,
      0.0024130312050786463,
      0.002296684196726046,
      0.0021820551019180573,
      0.0020691192762173844,
      0.0019578522600084145,
      0.001848229695102228,
      0.001740227445456001,
      0.00163382170591077,
      0.0015289890551545304,
      0.0014257062554480103,
      0.0013239505114310331,
      0.0012236992723935547,
      0.0011249302138316947,
      0.001027621512257625,
      0.0009317515750901356,
      0.0008372991913466243,
      0.0007442433338003937,
      0.0006525634072460618,
      0.0005622390275005165,
      0.00047325010710673416,
      0.00038557694798341545,
      0.0002992000687488467,
      0.00021410024915076935,
      0.00013025874079527778,
      4.765695810082694e-05,
      -3.372346093671045e-05,
      -0.00011390056778058849,
      -0.00019289214895781213,
      -0.00027071579574325903,
      -0.0003473888332241506,
      -0.0004229281912803688,
      -0.0004973506237543394,
      -0.0005706726339270955,
      -0.000642910488748729,
      -0.000714080212776452,
      -0.000784197631720234,
      -0.0008532782694232019,
      -0.0009213374595613062,
      -0.0009883903168574212,
      -0.0010544517836364891,
      -0.0011195364467910304,
      -0.0011836587604792945,
      -0.0012468329438263806,
      -0.0013090730430523007,
      -0.0013703928340317705,
      -0.001430805997210726,
      -0.0014903259358893868,
      -0.0015489658226094205,
      -0.0016067387462188954,
      -0.0016636574578847672,
      -0.0017197345610983155,
      -0.0017749825612639976,
      -0.0018294137620679521,
      -0.001883040040166583,
      -0.0019358733817956798,
      -0.00198792552251741,
      -0.0020392080189441625,
      -0.002089732281238388,
      -0.002139509560639036,
      -0.0021885508474793966,
      -0.0022368670413655564
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566688433594505,
      10.336117536029095,
      10.097386817652268,
      9.85361250005297,
      9.607298565892757,
      9.360626664213214,
      9.115500496506682,
      8.873512716043168,
      8.635912825492905,
      8.403628888691816,
      8.177293288270548,
      7.957261721625243,
      7.743643185666465,
      7.536337399770031,
      7.335071000584301,
      7.139445563512732,
      6.948984943129815,
      6.76317187826792,
      6.581479404908563,
      6.403400291927856,
      6.228464606481163,
      6.0562389744336524,
      5.88634617758812,
      5.718481044322511,
      5.552412704957034,
      5.387987337226162,
      5.225128581369263,
      5.063842344603679,
      4.904202431171445,
      4.746340875052455,
      4.590460485001677,
      4.436826051553776,
      4.285769195178861,
      4.137674426364131,
      3.9929434361389604,
      3.8519780442860316,
      3.715165793546405,
      3.582872143846664,
      3.4554252976120385,
      3.3331042350870397,
      3.216133481661014,
      3.1046802447611785,
      2.998853317112542,
      2.8986922649769205,
      2.804163454287718,
      2.715168721414867,
      2.6315706950582567,
      2.553173200674508,
      2.4797364600485787,
      2.4110174444047052,
      2.346761241451874,
      2.2866767211202434,
      2.2304444782473536,
      2.1777114740203847,
      2.1280941744576642,
      2.0812279983350668,
      2.036778968609452,
      1.9944387003161286,
      1.9539390730417903,
      1.915055266312868,
      1.8776096304111634,
      1.8414605950696128,
      1.8064907653091147,
      1.772597141768736,
      1.7396947909522038,
      1.70771484408784,
      1.6766004025736443,
      1.646303336061887,
      1.6167818416062938,
      1.5879989584909822,
      1.5599213824159341,
      1.5325165507871927,
      1.5057536030246166,
      1.4796050574225628,
      1.4540460447826324,
      1.429053771223536,
      1.404607134716668,
      1.3806867189117353,
      1.3572757149103019,
      1.3343585085308558,
      1.311919760993644,
      1.2899445312966487,
      1.2684183484716287,
      1.247327249448361,
      1.2266577953857813,
      1.2063970734113432,
      1.1865326886048828,
      1.1670538469314335,
      1.147951245698749,
      1.1292156452043076,
      1.1108386181839038,
      1.0928118686396988,
      1.0751283261813671,
      1.0577821920226544,
      1.0407669266799473,
      1.024075337868281,
      1.0076999044245438,
      0.9916329875666278,
      0.975866967407704,
      0.9603943307053693,
      0.9452077234429155,
      0.9302999832129754,
      0.915664155802709,
      0.9012935031480606,
      0.887181505016312,
      0.8733218571160302,
      0.8597084660263364,
      0.8463354426478212,
      0.8331970957644264,
      0.8202879247525118,
      0.8076026121466652,
      0.7951360158963927,
      0.7828831620590841,
      0.7708392381580337,
      0.7589995861865358,
      0.747359695934395,
      0.7359151993367313,
      0.7246618642008995,
      0.713595588485262,
      0.7027123954362255,
      0.6920084277253099,
      0.6814799430476892,
      0.6711233095197029,
      0.6609350011978049,
      0.6509115938575799,
      0.6410497611182355,
      0.6313462222852602,
      0.6217977580825025,
      0.6124012636304101,
      0.6031537373210095,
      0.5940522709640427,
      0.5850940422473617,
      0.5762763088587841,
      0.5675964041050794,
      0.559051732949324,
      0.5506397685315524,
      0.5423580492655138,
      0.5342041762969011,
      0.5261758111599637,
      0.5182706734189971,
      0.5104865384342204,
      0.5028212355190333,
      0.49527264642608404,
      0.4878387029013317,
      0.4805173675248885,
      0.4733062605745966,
      0.46620288677940125,
      0.459204999182787,
      0.4523105300697988,
      0.4455176198936733,
      0.43882483408991285,
      0.43223080595098157,
      0.4257340926198548,
      0.41933321065020235,
      0.4130266603810614,
      0.4068129420757617,
      0.400690566281492,
      0.39465806059059083,
      0.38871397354697207,
      0.3828568771950889,
      0.3770853944059983,
      0.3713986724683386,
      0.3657960730246829,
      0.3602767144319438,
      0.35483956454522486,
      0.34948350066264344,
      0.3442073625840352,
      0.3390101574375915,
      0.33389072838798806,
      0.3288477186239155,
      0.3238798327155434,
      0.31898582262122405,
      0.31416447908855727,
      0.3094146259589213,
      0.30473511589542707,
      0.300124877669856,
      0.29558294720733985,
      0.2911083502039381,
      0.2867001077377051,
      0.28235724548539304,
      0.2780787839588455,
      0.27386374508835454,
      0.2697111577582649,
      0.2656200610741267,
      0.26158950625304656,
      0.2576185582029292,
      0.2537065075193137,
      0.2498529019941893,
      0.24605717605962332,
      0.24231865471190522,
      0.2386365948885067,
      0.23501021305332173,
      0.23143870354634757,
      0.22792125070782032,
      0.22445703692206154,
      0.22104524812755377,
      0.21768507705658494,
      0.2143757253759757,
      0.21111640247517657,
      0.2079062538750182,
      0.204744405249821,
      0.20163003480468936,
      0.19856235965918445,
      0.19554062689166085,
      0.19256410729625306,
      0.18963209110476836,
      0.1867438854797625,
      0.18389881242222075,
      0.18109620726467693,
      0.1783354177574372,
      0.1756158031987172,
      0.17293673407599058,
      0.17029759165271874,
      0.16769776745460932,
      0.16513666290227755,
      0.16261368929292042,
      0.1601282675402181,
      0.15767982774184114,
      0.1552678092926229,
      0.15289166061490897,
      0.15055083878003747,
      0.14824480965524592,
      0.14597304754066673,
      0.14373503496971965,
      0.14153026269762933,
      0.13935822950999252,
      0.13721844214321596,
      0.1351104150180164,
      0.1330336702182669,
      0.13098773733324057,
      0.12897215321408886,
      0.1269864619238627,
      0.12503021474109643,
      0.12310296982919475,
      0.12120429218174437,
      0.11933375360122321,
      0.11749093256562186,
      0.11567541397634575,
      0.11388678919974124,
      0.11212465584292601,
      0.110388617753407,
      0.10867828488603326,
      0.10699327314543379,
      0.10533320426041431,
      0.10369770595753447,
      0.10208641160102348,
      0.10049896005513581,
      0.09893499566646557,
      0.09739416837904324,
      0.09587613330897313,
      0.09438055086422491,
      0.0929070866279335,
      0.09145541141863157,
      0.09002520092328023,
      0.0886161357473872,
      0.08722790134289707,
      0.08586018783440338,
      0.08451269022810695,
      0.08318510795053047,
      0.08187714511521382,
      0.08058851030995096,
      0.07931891641231581,
      0.07806808069411329,
      0.07683572461386948,
      0.07562157393582611,
      0.07442535856873385,
      0.07324681240669571,
      0.0720856731937187,
      0.07094168285433407,
      0.0698145870562414,
      0.0687041353403805,
      0.06761008097236877,
      0.06653218104936888,
      0.06547019615628914,
      0.0644238905440658,
      0.06339303188834257,
      0.062377391398107516,
      0.061376743718135486,
      0.06039086674518932,
      0.05941954187284481,
      0.05846255376283639,
      0.057519690163578704,
      0.05659074210583625,
      0.05567550361736713,
      0.05477377185005808,
      0.053885347116378234,
      0.05301003247044996,
      0.05214763405953182,
      0.05129796079668099,
      0.0504608245594302,
      0.04963603999526643,
      0.04882342442051157,
      0.04802279793297467,
      0.04723398330869622,
      0.04645680599535432,
      0.0456910939786676,
      0.044936677877866094,
      0.04419339074912459,
      0.043461068206853214,
      0.04273954824264831,
      0.042028671222221634,
      0.04132827982129063,
      0.04063821930417891,
      0.03995833701705868,
      0.039288482598641754,
      0.03862850800869313,
      0.037978267361809086,
      0.03733761695079908,
      0.036706415122809845,
      0.036084522318360804,
      0.03547180111310936,
      0.034868116060368645,
      0.034273333786374094,
      0.03368732289937469,
      0.03310995386524994,
      0.0325410991125911,
      0.03198063301518853,
      0.03142843175164037,
      0.030884373365686207,
      0.030348337652525276,
      0.029820206223781415,
      0.029299862420489133,
      0.028787191277065406,
      0.028282079638211378,
      0.02778441600301021,
      0.027294090375350136,
      0.026810994508422538,
      0.026335021665755305,
      0.02586606675740018,
      0.025404026323326254,
      0.02494879845323987,
      0.024500282527852364,
      0.024058379537765795,
      0.023622991899618466,
      0.023194023538651277,
      0.022771379811735073,
      0.022354967346766428,
      0.021944694300748194,
      0.021540470090724347,
      0.021142205522789753,
      0.02074981267355134,
      0.020363204904992698,
      0.019982296926063868,
      0.01960700468133015,
      0.019237245378037976,
      0.01887293731446435,
      0.018514000132323516,
      0.018160354673771955,
      0.017811922887531632,
      0.017468627828530946,
      0.01713039379522926,
      0.016797146172955777,
      0.016468811370462272,
      0.016145316983201364,
      0.01582659162424035,
      0.015512564930345848,
      0.01520316762363022,
      0.014898331475173039,
      0.014597989196797419,
      0.01430207452058685,
      0.014010522212610411,
      0.01372326796351185,
      0.013440248320989022,
      0.01316140081615878,
      0.01288666401756244,
      0.012615977347575242,
      0.012349281029272689,
      0.012086516252831941,
      0.011827625059290038,
      0.011572550285193666,
      0.011321235598962,
      0.011073625706323286,
      0.010829665889906135,
      0.010589302407818966,
      0.010352482289299258,
      0.010119153183176507,
      0.00988926358518124,
      0.009662762922129918,
      0.009439601175352585,
      0.009219729072596175,
      0.009003098168201567,
      0.008789660659283887,
      0.008579369465589312,
      0.008372178273540119,
      0.008168041259192262,
      0.007966913411067693,
      0.007768750353386019,
      0.007573508413727396,
      0.007381144674313277,
      0.007191616599885736,
      0.007004882360865128,
      0.006820900834489563,
      0.006639631417915336,
      0.006461034104354131,
      0.0062850695296093675,
      0.006111698862027759,
      0.005940883777360455,
      0.005772586639310708,
      0.0056067703642095415,
      0.005443398428464417,
      0.005282434699541735,
      0.005123843688722581,
      0.0049675904817032615,
      0.0048136405125631014,
      0.004661959955933734,
      0.004512515454492876,
      0.004365273936882921,
      0.00422020286986245,
      0.004077270251335532,
      0.003936444484728102,
      0.0037976946239435283,
      0.003660990105528097,
      0.0035263007496404686,
      0.003393596819698126,
      0.003262849039118307,
      0.0031340285911621336,
      0.003007107011877595,
      0.0028820564287705304,
      0.0027588492218467418,
      0.0026374581949814915,
      0.0025178565393877716,
      0.002400017938279661,
      0.0022839174683838923,
      0.002169531114395839,
      0.002056834694978642,
      0.0019458039015763397,
      0.0018364144891835825,
      0.0017286425373563385,
      0.0016224644516919092,
      0.0015178566804277993,
      0.001414796073616398,
      0.001313259849437082,
      0.001213225568441839,
      0.001114671000846959,
      0.0010175742111525358,
      0.0009219136181857957,
      0.0008276681013371409,
      0.0007348167648628297,
      0.0006433389512728507,
      0.0005532142875946179,
      0.0004644227707004373,
      0.00037694468867678426,
      0.0002907606390991051,
      0.00020585142714415794,
      0.00012219820029337082,
      3.978251437052044e-05,
      -4.141406353000384e-05,
      -0.00012140951197635255,
      -0.00020022162947667642,
      -0.00027786789431247916,
      -0.000354365526805017,
      -0.00042973155702896406,
      -0.0005039827006057634,
      -0.0005771355517616094,
      -0.0006492063813013099,
      -0.0007202110031596317,
      -0.000790165262969084,
      -0.0008590847754279488,
      -0.0009269848077868999,
      -0.0009938804350941427,
      -0.0010597865613027999,
      -0.001124717824999763,
      -0.0011886885870005459,
      -0.0012517129992934942,
      -0.0013138051627146119,
      -0.001374978870229009,
      -0.0014352475595258915,
      -0.0014946247855939603,
      -0.0015531237012788154,
      -0.001610757179072587,
      -0.0016675381352303825,
      -0.0017234792048842216,
      -0.0017785927728408897,
      -0.0018328909647778683,
      -0.0018863858858288519,
      -0.0019390895535404994,
      -0.0019910136142383176,
      -0.0020421695796683185,
      -0.0020925688339851044,
      -0.002142222481118833,
      -0.002191141528581209,
      -0.002239336949518111
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566685965943137,
      10.336105888923809,
      10.097359891485995,
      9.853565350987783,
      9.607227230277429,
      9.360528457723458,
      9.115373762044328,
      8.873356772884213,
      8.635727954472047,
      8.403415661785711,
      8.177052387932761,
      7.956993835860038,
      7.74334893494167,
      7.536017165800948,
      7.3347248147878705,
      7.139073404369356,
      6.9485867575829205,
      6.762747620082016,
      6.581029098547733,
      6.402924101457728,
      6.227962852839191,
      6.055712247690655,
      5.885795239389701,
      5.717906878466761,
      5.5518165770516035,
      5.387370775889556,
      5.224493405531198,
      5.063190696439952,
      4.903536626929013,
      4.745663487591258,
      4.589774419383454,
      4.43613449567223,
      4.28507602246984,
      4.136983756225805,
      3.9922593373205846,
      3.8513044297625676,
      3.714506422470627,
      3.582230604599034,
      3.4548047808937485,
      3.3325074914046136,
      3.2155627934018534,
      3.1041374135293145,
      2.998339594866409,
      2.898208299266552,
      2.8037092147227605,
      2.71474359273998,
      2.631173597774609,
      2.552802369052495,
      2.479389846962815,
      2.4106928320861245,
      2.3464562777742146,
      2.286388886747308,
      2.230171171004717,
      2.177449712715516,
      2.127841050952705,
      2.0809807725039366,
      2.0365351896103885,
      1.994196244572432,
      1.9536962541022587,
      1.9148108334348017,
      1.8773626850839742,
      1.8412104841669077,
      1.806237019819123,
      1.7723394322072796,
      1.7394329118998242,
      1.7074486780603577,
      1.6763298784966232,
      1.6460284268158145,
      1.6165025579004908,
      1.5877153376625903,
      1.5596334928735243,
      1.5322244922741013,
      1.5054574722941103,
      1.4793049484494027,
      1.4537420496335707,
      1.4287459805669738,
      1.404295637358714,
      1.3803716348423238,
      1.3569571774967435,
      1.334036634203307,
      1.3115946539600336,
      1.2896162867086298,
      1.2680870545979825,
      1.2469929894629204,
      1.2263206486155123,
      1.2060571160427132,
      1.1861899947112444,
      1.1667086348039373,
      1.1476037457379047,
      1.1288660453693657,
      1.1104870857699902,
      1.092458546458035,
      1.0747735579135456,
      1.057426317928259,
      1.0404101875451617,
      1.0237179073439768,
      1.0073419112387416,
      0.9912745303350775,
      0.975508124810913,
      0.9600351674526535,
      0.9448482949323979,
      0.9299403384364938,
      0.9153043394167449,
      0.9009335569167978,
      0.8868214688338462,
      0.8729617691509702,
      0.8593483631597248,
      0.845975360899869,
      0.8328370705069286,
      0.8199279906570636,
      0.8072428031740086,
      0.7947763655302239,
      0.7825237032248162,
      0.7704800030812845,
      0.7586406066741377,
      0.7470010037226479,
      0.7355568256944381,
      0.7243038395228123,
      0.7132379431989225,
      0.7023551592474614,
      0.6916516298469324,
      0.6811236124185415,
      0.6707674747625553,
      0.6605796901874578,
      0.6505568340171187,
      0.6406955791986005,
      0.6309926427881595,
      0.6214448047984276,
      0.6120489609897483,
      0.6028021097313103,
      0.5937013424204995,
      0.5847438364196693,
      0.575926849145445,
      0.5672477136811284,
      0.5587038345021373,
      0.5502926842953993,
      0.5420118010231737,
      0.5338587854253826,
      0.5258312985937583,
      0.5179270595812099,
      0.510143843186224,
      0.5024794784091281,
      0.49493184627022874,
      0.4874988781717885,
      0.48017855410170246,
      0.4729685467227672,
      0.46586634824021195,
      0.45886969148718243,
      0.45197649501496145,
      0.4451849497895025,
      0.43849364840012467,
      0.43190118781744385,
      0.4254060996071321,
      0.4190068831267943,
      0.41270202721589705,
      0.40649002428103553,
      0.40036937953000995,
      0.3943386168451646,
      0.38839628236789264,
      0.38254094634830205,
      0.37677128236656426,
      0.37108650891056344,
      0.3654859415744327,
      0.35996866873917255,
      0.3545336384036052,
      0.3491797146830884,
      0.3439057437356293,
      0.3387107457303893,
      0.3335935444343808,
      0.32855277399938404,
      0.3235871326441873,
      0.3186953681780978,
      0.31387626862025886,
      0.3091286558169127,
      0.3044513811850393,
      0.299843386209377,
      0.2953037070443477,
      0.2908313637630925,
      0.2864253752030312,
      0.28208476462258564,
      0.2778085502705919,
      0.2735957525689238,
      0.269445399233709,
      0.265356528408354,
      0.2613281907648326,
      0.2573594508245191,
      0.253449620488517,
      0.24959824875688852,
      0.24580476175460225,
      0.24206847883028196,
      0.23838865294343717,
      0.23476449792774956,
      0.23119520629487594,
      0.22767996121034784,
      0.22421794434067194,
      0.22080834101588237,
      0.21745034350347223,
      0.21414315326066324,
      0.21088597682111823,
      0.20767795601962075,
      0.20451821871991258,
      0.20140594454344576,
      0.19834035141072215,
      0.1953206869821443,
      0.19234622236505325,
      0.18941624824310324,
      0.18653007189936185,
      0.18368701542882024,
      0.18088641409101783,
      0.178127615586112,
      0.17540997929819477,
      0.1727328758220026,
      0.17009568625006508,
      0.16749780210317394,
      0.16493862490465058,
      0.1624175660030102,
      0.15993404626035887,
      0.15748749578459864,
      0.15507735390205032,
      0.15270306896316063,
      0.15036409812872406,
      0.14805990716013698,
      0.1457899704183424,
      0.14355377045361434,
      0.14135079804498502,
      0.13918055198273355,
      0.13704253895018073,
      0.1349362734223222,
      0.13286127740853582,
      0.13081708051717067,
      0.12880321963536262,
      0.12681923892332106,
      0.12486468955683626,
      0.12293912981618307,
      0.12104212474494928,
      0.11917324616057369,
      0.11733207251452321,
      0.11551818870312956,
      0.11373118612803422,
      0.1119706624082622,
      0.11023622140504898,
      0.10852747312677638,
      0.10684403350775885,
      0.10518552442247317,
      0.10355157348411517,
      0.10194181402105162,
      0.1003558849960004,
      0.09879343092495523,
      0.09725410170661412,
      0.09573755259732872,
      0.09424344410848504,
      0.0927714417757118,
      0.09132121635232922,
      0.08989244360723307,
      0.08848480417175139,
      0.08709798351193841,
      0.08573167192016042,
      0.08438556443184855,
      0.08305936063457593,
      0.08175276460463574,
      0.08046548487825815,
      0.07919723439726584,
      0.07794773058210258,
      0.07671669486051448,
      0.07550385302817052,
      0.07430893501736817,
      0.07313167481440737,
      0.07197181033085948,
      0.07082908337174222,
      0.06970323971950318,
      0.06859402905460157,
      0.0675012047819723,
      0.06642452385188229,
      0.06536374701366342,
      0.06431863854265726,
      0.06328896626006501,
      0.06227450132396898,
      0.06127501849068712,
      0.06029029586770766,
      0.05932011487021391,
      0.058364260100529086,
      0.05742251942053955,
      0.056494683867929586,
      0.05558054757140926,
      0.05467990786198147,
      0.05379256489044332,
      0.05291832187884847,
      0.052056984989042876,
      0.05120836325957655,
      0.05037226859768408,
      0.04954851566160013,
      0.04873692197242444,
      0.0479373077536909,
      0.04714949580681107,
      0.0463733115519205,
      0.04560858306601155,
      0.044855141054644415,
      0.044112818633497954,
      0.043381451440396616,
      0.04266087739038721,
      0.04195093710212267,
      0.041251473382818524,
      0.04056233144371576,
      0.03988335873043639,
      0.03921440499715093,
      0.03855532223373696,
      0.037905964547461465,
      0.03726618812584755,
      0.0366358516114853,
      0.03601481559874764,
      0.035402942631368055,
      0.03480009743604507,
      0.034206146693893956,
      0.033620958959379624,
      0.03304440485697028,
      0.032476356875115124,
      0.03191668940937092,
      0.031365278714201576,
      0.03082200273143727,
      0.03028674152996016,
      0.02975937681791925,
      0.029239791957860143,
      0.028727872039172445,
      0.02822350387418053,
      0.027726575969318035,
      0.027236978534639245,
      0.026754603398288133,
      0.026279343945951425,
      0.02581109511122718,
      0.025349753486428216,
      0.02489521709600435,
      0.024447385443219997,
      0.02400615953029083,
      0.023571441986464,
      0.023143136712323386,
      0.022721149095347223,
      0.022305385932332108,
      0.02189575536976144,
      0.02149216690367483,
      0.021094531271907014,
      0.02070276067067164,
      0.02031676870196153,
      0.01993647000315143,
      0.01956178048545007,
      0.019192617443318613,
      0.01882889937053229,
      0.01847054587626734,
      0.018117477879100015,
      0.017769617354230965,
      0.01742688742883372,
      0.017089212417726374,
      0.016756517717825777,
      0.016428729922822426,
      0.016105776675492407,
      0.015787586600274257,
      0.01547408944983998,
      0.015165216045954283,
      0.014860898097390135,
      0.014561068364788918,
      0.014265660695951378,
      0.013974609868399487,
      0.013687851588012572,
      0.013405322561412055,
      0.013126960406757333,
      0.012852703695485785,
      0.012582491857639714,
      0.012316265141483129,
      0.01205396479287643,
      0.011795532989989524,
      0.011540912565798216,
      0.011290047178218715,
      0.011042881477113466,
      0.010799361065272248,
      0.010559432087978793,
      0.010323041606901714,
      0.010090137405169173,
      0.009860668030550477,
      0.009634582829152298,
      0.009411832007308192,
      0.009192366309082609,
      0.008976137287425067,
      0.008763097133093076,
      0.008553198798867458,
      0.008346396037605602,
      0.008142643131623554,
      0.007941895088573962,
      0.007744107649607714,
      0.007549237121883105,
      0.00735724048070153,
      0.007168075353483181,
      0.00698169993598771,
      0.00679807317177176,
      0.006617154476645748,
      0.0064389039611325105,
      0.00626328224202022,
      0.006090250485016173,
      0.005919770589509302,
      0.005751804854570355,
      0.00558631626363928,
      0.00542326817995444,
      0.005262624635590631,
      0.005104350183888834,
      0.004948409893727198,
      0.004794769339794548,
      0.004643394645587153,
      0.004494252267689074,
      0.004347309322224819,
      0.004202533455804499,
      0.004059892699297463,
      0.003919355514111503,
      0.0037808909357108676,
      0.003644468343829115,
      0.0035100576158947905,
      0.003377629142256207,
      0.0032471536527313776,
      0.0031186022926796312,
      0.0029919467258680797,
      0.002867158991533241,
      0.0027442116107645625,
      0.0026230774469874203,
      0.0025037297329531345,
      0.0023861420737817975,
      0.0022702887187297967,
      0.0021561452549162976,
      0.002043687977485248,
      0.0019328930141563041,
      0.0018237363968875567,
      0.0017161942857931336,
      0.0016102431492268957,
      0.0015058595629735103,
      0.0014030204430853226,
      0.001301703037697574,
      0.001201884996642516,
      0.0011035440994585568,
      0.001006658479791601,
      0.0009112066539995694,
      0.0008171674814330814,
      0.000724520011325747,
      0.0006332436423354086,
      0.0005433180607911943,
      0.0004547233263597947,
      0.0003674397236335965,
      0.00028144787582988864,
      0.00019672862396145864,
      0.0001132631233796902,
      3.1032852676850185e-05,
      -4.99804211221355e-05,
      -0.00012979477116022324,
      -0.00020842799100342316,
      -0.0002858974480742322,
      -0.0003622204637590638,
      -0.0004374139740559623,
      -0.0005114947425482054,
      -0.0005844792098097568,
      -0.000656383513526938,
      -0.0007272236917957046,
      -0.0007970154724593201,
      -0.0008657743858333666,
      -0.0009335156665247128,
      -0.0010002544915996858,
      -0.0010660055818387626,
      -0.0011307835524143426,
      -0.0011946029447901564,
      -0.0012574778255875047,
      -0.0013194221219610472,
      -0.0013804497398073276,
      -0.0014405743001583231,
      -0.0014998090974448397,
      -0.0015581672279852184,
      -0.00161566176851531,
      -0.0016723054904557765,
      -0.0017281109164224242,
      -0.0017830905093281762,
      -0.001837256384170334,
      -0.0018906206100568496,
      -0.0019431950412589333,
      -0.0019949914273543297,
      -0.0020460213195007218,
      -0.0020962960585093893,
      -0.0021458267811810695,
      -0.0021946244830720295,
      -0.0022427000617507454
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56668349249343,
      10.336094215790537,
      10.097332905651857,
      9.853518105700076,
      9.6071557634384,
      9.36043008490828,
      9.115246829113978,
      8.873200601839372,
      8.635542827103567,
      8.403202149633682,
      8.176811175249611,
      7.956725613768455,
      7.743054326661456,
      7.535696555733194,
      7.334378234447632,
      7.138700833249942,
      6.948188143170323,
      6.762322916421031,
      6.580578331386169,
      6.40244743511782,
      6.227460608061432,
      6.055185015634588,
      5.88524378230977,
      5.717332180173915,
      5.551219902851616,
      5.386753655268519,
      5.223857658385381,
      5.06253846563615,
      4.902870230612481,
      4.74498550232851,
      4.589087752768541,
      4.435442392851036,
      4.284382400870446,
      4.136292727913611,
      3.9915749636040654,
      3.850630615020267,
      3.713846917638675,
      3.581588990164906,
      3.4541842395631535,
      3.3319107655984426,
      3.2149921578752374,
      3.10359466286236,
      2.9978259745601257,
      2.8977244496184036,
      2.8032550976143127,
      2.714318586756375,
      2.6307766175008203,
      2.552431643429666,
      2.4790433240251333,
      2.410368290825936,
      2.3461513529742475,
      2.2861010556761823,
      2.2298978303934764,
      2.177187881813004,
      2.127587822355537,
      2.0807334083016276,
      2.0362912426391335,
      1.9939535947619098,
      1.9534532186120594,
      1.9145661649044199,
      1.8771154864919415,
      1.8409601043396524,
      1.8059829910356893,
      1.7720814256068786,
      1.739170723057548,
      1.7071821913122007,
      1.6760590235789827,
      1.645753176409033,
      1.6162229224674671,
      1.5874313537378149,
      1.559345229438212,
      1.531932049543325,
      1.5051609471875342,
      1.4790044356158363,
      1.4534376417105699,
      1.4284377681308793,
      1.403983709986156,
      1.3800561130373872,
      1.356638194935917,
      1.33371430747206,
      1.3112690867084846,
      1.2892875740888587,
      1.267755284979477,
      1.2466582462211773,
      1.22598301148213,
      1.205716661965143,
      1.1858467979655523,
      1.1663629142935819,
      1.1472557324291812,
      1.1285159270298322,
      1.110135029763789,
      1.0921046959271088,
      1.0744182572862022,
      1.0570699075100627,
      1.0400529080284415,
      1.0233599329101728,
      1.0069833711622098,
      0.9909155232869797,
      0.9751487291391401,
      0.9596754477563458,
      0.9444883070276687,
      0.929580131499701,
      0.9149439582599452,
      0.9005730435338051,
      0.8864608628636588,
      0.8726011085821834,
      0.8589876846159741,
      0.8456147003713801,
      0.8324764631056581,
      0.8195674710230381,
      0.8068824055155783,
      0.7944161231462704,
      0.7821636492885783,
      0.7701201704745616,
      0.7582810276347564,
      0.7466417098893946,
      0.7351978482438629,
      0.7239452095013154,
      0.7128796908030488,
      0.7019973141124217,
      0.6912942212244408,
      0.6807666691427552,
      0.6704110248765727,
      0.6602237616290801,
      0.6502014543565224,
      0.6403407752661853,
      0.6306384389952921,
      0.6210912255926512,
      0.6116960305793522,
      0.6024498524397852,
      0.5933497823228793,
      0.5843929975055945,
      0.5755767550953943,
      0.5668983873808804,
      0.5583552984902699,
      0.5499449609246997,
      0.5416649123612233,
      0.5335127529454724,
      0.5254861431894374,
      0.5175828014974906,
      0.5098005024778441,
      0.5021370744264388,
      0.4945903980287714,
      0.4871584042575907,
      0.4798390725200529,
      0.47263013697063433,
      0.4655290950991901,
      0.4585336566856575,
      0.45164172446370454,
      0.4448515552253287,
      0.4381617469860108,
      0.43157085984151156,
      0.42507740063711785,
      0.4186798522571058,
      0.41237669237854185,
      0.4061664058596022,
      0.4000474928495388,
      0.3940184737496741,
      0.38807789204394205,
      0.3822243163900753,
      0.37645647120229314,
      0.3707736460129941,
      0.36517511056882274,
      0.35965992329782026,
      0.3542270122636728,
      0.3488752284984185,
      0.3436034244397642,
      0.3384106332064729,
      0.33329565898714103,
      0.32825712686734043,
      0.3232937290532564,
      0.318404209225293,
      0.3135873527328982,
      0.308841979410215,
      0.3041669392714951,
      0.2995611863698606,
      0.29502375750346377,
      0.2905536674229282,
      0.28614993256977955,
      0.28181157333734086,
      0.27753760551838513,
      0.27332704798518737,
      0.2691789274590811,
      0.26509228138331786,
      0.26106615984163983,
      0.25709962693854793,
      0.2531920157997928,
      0.2493428768575353,
      0.2455516277471686,
      0.2418175820759073,
      0.23813998901100544,
      0.23451805977639434,
      0.23095098503826994,
      0.22743794671963902,
      0.22397812565060454,
      0.22057070668775886,
      0.21721488171815584,
      0.21390985184502062,
      0.21065482086880838,
      0.20744892680689092,
      0.20429129961886638,
      0.20118112026097315,
      0.19811760765221403,
      0.19510001005421967,
      0.19212759904679605,
      0.1891996654670162,
      0.18631551668673457,
      0.18347447491343272,
      0.18067587558043965,
      0.17791906643197722,
      0.17520340695677322,
      0.17252826758989406,
      0.16989302943129353,
      0.16729708390165102,
      0.16473983267209155,
      0.16222068695221759,
      0.1597390675782227,
      0.1572944048014861,
      0.1548861379048022,
      0.1525137152240562,
      0.15017659391418603,
      0.14787423979655925,
      0.14560612712190174,
      0.14337173847133788,
      0.14117056464862476,
      0.1390021044180112,
      0.13686586439175655,
      0.13476135904895312,
      0.1326881104715768,
      0.13064564830708872,
      0.12863350943510388,
      0.12665123802495734,
      0.1246983852973927,
      0.1227745094855156,
      0.12087917565879505,
      0.11901195563800232,
      0.11717242788031543,
      0.11536017743634663,
      0.11357479569907436,
      0.11181588027479589,
      0.11008303504574779,
      0.10837587003679462,
      0.10669400116827646,
      0.10503705042933434,
      0.10340464554294172,
      0.1017964198216582,
      0.1002120122457425,
      0.09865106729900835,
      0.09711323498907341,
      0.09559817057409685,
      0.09410553454293515,
      0.09263499260671061,
      0.09118621547916432,
      0.08975887890333505,
      0.08835266372738225,
      0.08696725543806066,
      0.08560234441049105,
      0.08425762564978069,
      0.08293279872412612,
      0.08162756774546652,
      0.08034164142053618,
      0.07907473265337185,
      0.07782655891393232,
      0.07659684177949358,
      0.07538530706048166,
      0.0741916848015036,
      0.07301570901731788,
      0.07185711767247939,
      0.0707156527325075,
      0.0695910599748464,
      0.068483089103068,
      0.0673914935449355,
      0.06631603038771612,
      0.06525646040985675,
      0.06421254792238235,
      0.06318406075055293,
      0.062170770228476654,
      0.06117245118135647,
      0.060188881595762994,
      0.059219842916022176,
      0.058265119850366115,
      0.05732450045354143,
      0.0563977758241379,
      0.055484740156829165,
      0.05458519070430722,
      0.05369892790020719,
      0.05282575502002017,
      0.051965478199240106,
      0.05111790657367822,
      0.050282852077884,
      0.04946012948018199,
      0.04864955632626554,
      0.047850952836134955,
      0.04706414195752081,
      0.04628894918487515,
      0.04552520267713664,
      0.044772733051483014,
      0.04403137359091839,
      0.04330096005126018,
      0.04258133052851241,
      0.04187232564689346,
      0.04117378825709606,
      0.040485563534346736,
      0.03980749907875507,
      0.03913944457026542,
      0.03848125215673074,
      0.03783277611035392,
      0.037193872695662836,
      0.03656440053520705,
      0.035944220252534825,
      0.03533319450779027,
      0.034731187980706776,
      0.03413806749493814,
      0.033553701771936346,
      0.03297796143432863,
      0.032410719013131035,
      0.03185184891757113,
      0.03130122744751447,
      0.030758732895832162,
      0.030224245104818432,
      0.02969764577941127,
      0.029178818508413543,
      0.02866764846889162,
      0.0281640225181511,
      0.027667829260408523,
      0.02717895889766548,
      0.026697303360359994,
      0.026222756113769133,
      0.025755212205838044,
      0.025294568136527872,
      0.02484072203203969,
      0.024393573456208108,
      0.02395302356449579,
      0.023518974914592355,
      0.023091331670362432,
      0.022669999182140407,
      0.022254884227094422,
      0.021845895013259026,
      0.021442941071383368,
      0.021045933338202583,
      0.020654784081173105,
      0.020269406807832714,
      0.019889716283259275,
      0.019515628584457642,
      0.01914706092416457,
      0.01878393191825792,
      0.01842616116511505,
      0.01807366961771416,
      0.017726379362943835,
      0.017384213666251515,
      0.017047096855298274,
      0.016714954392583657,
      0.016387712793174282,
      0.016065299762881687,
      0.01574764408679761,
      0.015434675629861597,
      0.015126325100237167,
      0.014822524305669094,
      0.014523206166083586,
      0.014228304545898065,
      0.013937754262024711,
      0.013651491127357442,
      0.013369451768829126,
      0.013091573875286453,
      0.012817796054779148,
      0.012548057784804287,
      0.012282299556657404,
      0.012020462546388729,
      0.011762488880596928,
      0.011508321657333604,
      0.011257904684819825,
      0.011011182534529275,
      0.010768100598953147,
      0.010528605288582916,
      0.010292643700629642,
      0.010060163705011652,
      0.009831113803448761,
      0.009605443385459246,
      0.009383102580772741,
      0.009164042254320198,
      0.008948214023610849,
      0.008735570183227463,
      0.008526063778531589,
      0.008319648631382662,
      0.008116279095265215,
      0.007915910149795183,
      0.007718497446653743,
      0.007523997460062429,
      0.007332367239535636,
      0.007143564362247869,
      0.006957547040186735,
      0.006774274280489802,
      0.00659370562279328,
      0.006415801177747381,
      0.0062405216229754566,
      0.00606782818886837,
      0.005897682614361081,
      0.005730047416903601,
      0.005564885528836809,
      0.0054021604764794345,
      0.005241836319638466,
      0.005083877637684841,
      0.00492824954960301,
      0.004774917589928459,
      0.004623847916854708,
      0.0044750071157792035,
      0.004328362354446126,
      0.004183881247854791,
      0.0040415317944400165,
      0.0039012826133080765,
      0.0037631027573212534,
      0.0036269615980798644,
      0.0034928291192254193,
      0.0033606757157266837,
      0.0032304720459268026,
      0.0031021893744606725,
      0.0029757994339108893,
      0.0028512742754547614,
      0.0027285864076654447,
      0.0026077086950197356,
      0.002488614422873651,
      0.00237127729438708,
      0.0022556713529122787,
      0.002141771337778803,
      0.002029553475817702,
      0.00191899433843821,
      0.0018100702790352292,
      0.0017027577028876754,
      0.0015970331842766442,
      0.0014928734762603662,
      0.0013902555150048135,
      0.0012891567171946765,
      0.0011895545413830933,
      0.001091426825807514,
      0.0009947519048569922,
      0.0008995083141718676,
      0.0008056748082163762,
      0.0007132306331122489,
      0.0006221551778209829,
      0.0005324281477090439,
      0.0004440296059067219,
      0.00035693983767538,
      0.0002711394573624547,
      0.00018660943435178405,
      0.00010333096087923543,
      2.1285486280220095e-05,
      -5.954526648208022e-05,
      -0.00013917929643991988,
      -0.00021763424892790669,
      -0.00029492754857416,
      -0.0003710764357687002,
      -0.0004460977735230278,
      -0.000520008374683276,
      -0.0005928246669940042,
      -0.0006645628466485485,
      -0.0007352389037572392,
      -0.0008048686598431446,
      -0.0008734675051490087,
      -0.0009410507711552881,
      -0.0010076333515684564,
      -0.0010732300663598218,
      -0.001137855579774122,
      -0.0012015242671474223,
      -0.001264250265074062,
      -0.001326047565072585,
      -0.001386929915635494,
      -0.0014469108192271547,
      -0.0015060036805606295,
      -0.0015642216238275955,
      -0.0016215775952561327,
      -0.0016780844011482431,
      -0.0017337545863746447,
      -0.0017886004709076996,
      -0.0018426342108467386,
      -0.0018958679354413974,
      -0.0019483135083007393,
      -0.001999982554773724,
      -0.002050886564977466,
      -0.00210103694530514,
      -0.0021504448786228664,
      -0.0021991213236675087,
      -0.002247076994532714
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566681011922956,
      10.336082510325655,
      10.097305844103026,
      9.853470737710884,
      9.60708412760814,
      9.360331498823843,
      9.11511964049158,
      8.873044134853057,
      8.635357366967378,
      8.402988272161748,
      8.17656956436671,
      7.95645695990328,
      7.7427592549313715,
      7.535375452184672,
      7.3340311311327016,
      7.138327709838969,
      6.947788947966423,
      6.761897604171409,
      6.580126928553254,
      6.401970108273284,
      6.226957679343509,
      6.0546570765377865,
      5.884691596255116,
      5.716756732317683,
      5.550622460280505,
      5.386135748404512,
      5.223221109016148,
      5.0618854191698395,
      4.90220300780285,
      4.74430668155089,
      4.588400244429676,
      4.434749505370345,
      4.283688108302148,
      4.135601131081769,
      3.9908901135718455,
      3.8499564066671366,
      3.7131870925295853,
      3.5809471203893692,
      3.45356349874063,
      3.331313888002361,
      3.2144214102636877,
      3.103051831502234,
      2.9973122965832673,
      2.8972405575703375,
      2.8028009473693802,
      2.7138935502468238,
      2.630379603331069,
      2.5520608756267564,
      2.478696746978577,
      2.4100436801002765,
      2.345846338600715,
      2.285813110687658,
      2.22962434858039,
      2.1769258816786543,
      2.1273343971740855,
      2.0804858208128807,
      2.036047046875529,
      1.9937106700684617,
      1.9532098846424317,
      1.9143211765285346,
      1.876867949457681,
      1.840709369373624,
      1.8057285920005983,
      1.7718230351068405,
      1.7389081375261217,
      1.7069152957408427,
      1.6757877485102317,
      1.6454774950708262,
      1.6159428462203889,
      1.587146920311969,
      1.5590565081375518,
      1.531639141100432,
      1.5048639488781121,
      1.4787034421815513,
      1.4531327458222159,
      1.4281290611013844,
      1.4036712807979843,
      1.3797400819991983,
      1.3563186960292424,
      1.3333914571221743,
      1.310942989211983,
      1.2889583242206875,
      1.267422971285532,
      1.2463229527563193,
      1.225644818042747,
      1.2053756451529094,
      1.185503103271219,
      1.166016794916483,
      1.146907383036508,
      1.1281655115738454,
      1.1097826997700653,
      1.0917505997768322,
      1.0740627398519504,
      1.056713295742414,
      1.0396954339121505,
      1.023001764568307,
      1.0066246333296176,
      0.9905563122168637,
      0.9747891220121252,
      0.9593155085405639,
      0.9441280904759715,
      0.929219686307961,
      0.9145833292899724,
      0.9002122725956796,
      0.8860999895857001,
      0.8722401710641752,
      0.8586267199685338,
      0.8452537447362788,
      0.8321155518179209,
      0.8192066388646874,
      0.8065216867054014,
      0.7940555513705915,
      0.7818032576212612,
      0.7697599916429422,
      0.7579210942005716,
      0.7462820538110524,
      0.7348385008618367,
      0.7235862015899293,
      0.7125210527408524,
      0.701639075967824,
      0.6909364127304768,
      0.6804093192830603,
      0.6700541622502539,
      0.6598674143243325,
      0.6498456498154302,
      0.6399855393528059,
      0.6302837957890776,
      0.6207371997397072,
      0.6113426470947854,
      0.602097135843268,
      0.5929977567844545,
      0.5840416870095504,
      0.5752261834701313,
      0.5665485779924062,
      0.5580062741573004,
      0.5495967438511973,
      0.5413175241387626,
      0.5331662150059232,
      0.5251404765138659,
      0.5172380267002048,
      0.5094566397063413,
      0.501794143483898,
      0.4942484179561276,
      0.4868173935702216,
      0.4794990494376803,
      0.47229118113425506,
      0.4651912913901201,
      0.4581970666082896,
      0.4513063979329679,
      0.4445176092270345,
      0.4378292957519616,
      0.43123998187794194,
      0.42474815043991443,
      0.4183522679955565,
      0.41205080135541816,
      0.4058422281233564,
      0.39972504342821197,
      0.39369776417654007,
      0.3877589315618039,
      0.3819071124312478,
      0.37614109454128397,
      0.3704602217995935,
      0.3648637197264622,
      0.3593506176666451,
      0.353919824510082,
      0.34857017833948883,
      0.34330053838463026,
      0.3381099510085422,
      0.3329972008229658,
      0.3279609038102681,
      0.3229997461515049,
      0.31811246755100625,
      0.313297850497448,
      0.3085547131297376,
      0.30388190433802215,
      0.29927839078281115,
      0.29474320919580643,
      0.2902753695910815,
      0.2858738858385174,
      0.2815377750237891,
      0.27726605084134914,
      0.27305773055163085,
      0.26891183969168136,
      0.264827415068788,
      0.2608035063946345,
      0.2568391772680063,
      0.2529337821283602,
      0.249086872763758,
      0.2452978583203251,
      0.24156604660045022,
      0.237890683004427,
      0.2342709761844498,
      0.23070611503709987,
      0.2271952803443746,
      0.22373765207479654,
      0.22033241435822873,
      0.2169787586636062,
      0.2136758860200719,
      0.21042299735502856,
      0.2072192269324886,
      0.20406370677017752,
      0.2009556192107423,
      0.1978941840707007,
      0.19487865022627598,
      0.19190828966666534,
      0.18898239357367846,
      0.18610026951019476,
      0.1832612396702966,
      0.18046463952289793,
      0.17770981692159926,
      0.174996131257695,
      0.17232295301741377,
      0.16968966332168325,
      0.1670956536257102,
      0.1645403255210547,
      0.16202309021975206,
      0.1595433685083335,
      0.15710059058643036,
      0.15469419582213678,
      0.15232363252522357,
      0.14998835782709338,
      0.1476878375275328,
      0.14542154587607628,
      0.14318896545965062,
      0.14098958701180347,
      0.1388229093851785,
      0.13668843942641734,
      0.13458569141612714,
      0.13251418747836224,
      0.13047345714847627,
      0.12846303742715195,
      0.12648247248164543,
      0.12453131357248787,
      0.12260911880447929,
      0.12071545335061554,
      0.11884988903612717,
      0.11701200439530149,
      0.11520138440564087,
      0.11341762054809236,
      0.11166031051263682,
      0.10992905824819371,
      0.10822347380387391,
      0.10654317316445906,
      0.10488777826462573,
      0.10325691679986486,
      0.10165022217745324,
      0.10006733341634919,
      0.09850789505323163,
      0.09697155697806764,
      0.09545797453568572,
      0.09396680827056894,
      0.09249772400774642,
      0.09105039262692831,
      0.0896244898796953,
      0.08821969657339405,
      0.08683569825068957,
      0.08547218535021901,
      0.08412885295798479,
      0.08280540064519384,
      0.08150153261421458,
      0.08021695750160432,
      0.07895138842579642,
      0.07770454278987565,
      0.07647614232883054,
      0.07526591283481673,
      0.07407358433923952,
      0.07289889089658147,
      0.07174157073262055,
      0.07060136578416668,
      0.06947802187582469,
      0.06837128875484243,
      0.06728091991457816,
      0.06620667243153212,
      0.0651483071270732,
      0.06410558835191614,
      0.0630782840218416,
      0.06206616561587438,
      0.061069007952001285,
      0.06008658912176427,
      0.059118690684871536,
      0.058165097501449735,
      0.057225597550931324,
      0.05629998200143735,
      0.05538804517626441,
      0.05448958430953161,
      0.053604399866128784,
      0.052732295170993926,
      0.05187307647186922,
      0.05102655298142532,
      0.0501925367873629,
      0.04937084268105728,
      0.048561288238223504,
      0.04776369381127316,
      0.04697788229377567,
      0.046203679323976884,
      0.04544091307859501,
      0.04468941438509437,
      0.043949016573469876,
      0.04321955526431397,
      0.04250086867479267,
      0.04179279751114908,
      0.04109518469273644,
      0.04040787549480277,
      0.03973071756343511,
      0.03906356082191283,
      0.03840625734122015,
      0.037758661374761124,
      0.03712062932798208,
      0.03649201986687212,
      0.03587269364705112,
      0.035262513422719,
      0.034661343940813,
      0.034069052125904636,
      0.03348550674902526,
      0.03291057841488327,
      0.03234413987761788,
      0.031786065547130066,
      0.031236231851599957,
      0.03069451704099375,
      0.030160801112451827,
      0.02963496582505308,
      0.029116894702437085,
      0.028606473029099872,
      0.02810358779038492,
      0.027608127675972097,
      0.027119982943868786,
      0.026639045487567497,
      0.02616520885865073,
      0.025698368193990052,
      0.025238420060137278,
      0.024785262723038926,
      0.024338795832927043,
      0.023898920464001584,
      0.023465539350986355,
      0.02303855655297606,
      0.022617877542439532,
      0.022203409210349707,
      0.021795059832772842,
      0.02139273899785013,
      0.02099635766540152,
      0.020605828187246208,
      0.020221064161127483,
      0.019841980353282777,
      0.01946849294983628,
      0.0191005192666766,
      0.0187379778899296,
      0.018380788617734005,
      0.01802887240709469,
      0.01768215135033278,
      0.01734054868157611,
      0.017003988806651216,
      0.01667239729958497,
      0.016345700788939398,
      0.01602382707119028,
      0.015706704840195825,
      0.015394263935858243,
      0.015086435336374581,
      0.014783150893891582,
      0.014484343442666383,
      0.014189946904734414,
      0.0138998962216621,
      0.01361412725223096,
      0.013332576692475326,
      0.013055182298478473,
      0.012781882667463874,
      0.012512617328100543,
      0.01224732678299125,
      0.011985952351724083,
      0.011728436195291712,
      0.011474721356334046,
      0.01122475170737566,
      0.010978471997371501,
      0.01073582769834575,
      0.010496765067406103,
      0.010261231322542025,
      0.010029174371798786,
      0.009800542869829435,
      0.009575286175563004,
      0.009353354547698516,
      0.009134698835203419,
      0.008919270831646087,
      0.008707022780521212,
      0.008497907779573155,
      0.008291879501361047,
      0.00808889240588749,
      0.007888901676291502,
      0.007691862985794653,
      0.007497732769237804,
      0.0073064680773599535,
      0.0071180266118672725,
      0.006932366693098151,
      0.006749447229879558,
      0.0065692278447412175,
      0.006391668664419812,
      0.006216730468751667,
      0.006044374562360392,
      0.005874562807095376,
      0.005707257510441094,
      0.005542421831195613,
      0.005380019291281154,
      0.005220013912539911,
      0.005062370291769721,
      0.004907053652568478,
      0.0047540296643346185,
      0.004603264402985474,
      0.0044547245422030006,
      0.00430837724798972,
      0.0041641901325714095,
      0.004022131298967687,
      0.0038821693241275113,
      0.003744273338868526,
      0.0036084128305484157,
      0.0034745576376841564,
      0.003342678289663964,
      0.003212745687437823,
      0.0030847310275853084,
      0.002958605956508665,
      0.0028343425673025293,
      0.002711913346806389,
      0.0025912912843307533,
      0.0024724496511170893,
      0.00235536224539732,
      0.0022400031047750246,
      0.002126346767127891,
      0.0020143685203267356,
      0.0019040451006611626,
      0.0017953532143762925,
      0.0016882695929214154,
      0.001582771009656355,
      0.0014788343285735514,
      0.0013764367189512986,
      0.0012755555401463164,
      0.001176168456284326,
      0.0010782533548539903,
      0.0009817885463501437,
      0.0008867525389348514,
      0.0007931242531549849,
      0.0007008827802023228,
      0.0006100075924820855,
      0.0005204784501063813,
      0.00043227544246803116,
      0.0003453789163224218,
      0.0002597696660016153,
      0.00017542850147553887,
      9.233654218836809e-05,
      1.0475302013722974e-05,
      -7.017343450167538e-05,
      -0.0001496275051264432,
      -0.00022790461846057972,
      -0.0003050222960302505,
      -0.0003809976611980454,
      -0.0004558475891188211,
      -0.0005295887731069873,
      -0.0006022376882654648,
      -0.0006738105161216255,
      -0.0007443231765976342,
      -0.0008137913138231206,
      -0.0008822304597394918,
      -0.0009496559294716901,
      -0.001016082620639775,
      -0.0010815253263570046,
      -0.0011459986341719119,
      -0.0012095169580404695,
      -0.0012720943848363185,
      -0.0013337448889823716,
      -0.0013944821642808932,
      -0.0014543197860314733,
      -0.001513271016250305,
      -0.001571349008406751,
      -0.0016285666872183498,
      -0.0016849368057357005,
      -0.00174047193841859,
      -0.0017951845047843576,
      -0.0018490866337833244,
      -0.0019021903067906179,
      -0.00195450738570457,
      -0.0020060495766194143,
      -0.002056828329692964,
      -0.0021068549284158334,
      -0.002156140489568435,
      -0.002204696000377318,
      -0.0022525322662301744
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566678525045514,
      10.33607077324025,
      10.097278710188654,
      9.853423250915093,
      9.607012326896402,
      9.360232701391242,
      9.11499219403441,
      8.872887365270147,
      8.635171559101094,
      8.40277400143442,
      8.176327518194272,
      7.956187831828836,
      7.742463669289223,
      7.535053794175074,
      7.333683434589676,
      7.1379539557411,
      6.947389085458134,
      6.761471588686517,
      6.579674787729052,
      6.401492008484031,
      6.2264539436901885,
      6.054128297845464,
      5.8841385386048355,
      5.716180381800638,
      5.550024085160598,
      5.385516881907086,
      5.222583574962797,
      5.061231365880881,
      4.901534757882463,
      4.74362681534825,
      4.587711674942668,
      4.434055571345533,
      4.282992811737558,
      4.134908570656834,
      3.990204337262686,
      3.849281308448134,
      3.712526412684827,
      3.58030442803592,
      3.452941966729085,
      3.3307162480212855,
      3.2138499259654196,
      3.1025082872471796,
      2.9967979273723864,
      2.8967559933994487,
      2.8023461399411174,
      2.713467868368578,
      2.6299819524821504,
      2.5516894774895036,
      2.4783495436298555,
      2.409718445064341,
      2.3455406968696524,
      2.2855245296614473,
      2.2293502187225243,
      2.1766632190911293,
      2.127080294520527,
      2.0802375413994594,
      2.035802145810242,
      1.9934670138853952,
      1.9529658002153492,
      1.9140754243646128,
      1.8766196392447205,
      1.840457855090795,
      1.8054734100708802,
      1.771563859212122,
      1.738644765322539,
      1.706647613130105,
      1.6755156862271947,
      1.645201026735336,
      1.6156619830745744,
      1.5868616999679852,
      1.5587669996317408,
      1.5313454449539312,
      1.5045661621119466,
      1.4784016595469671,
      1.452827059859087,
      1.4278195625482444,
      1.4033580588929255,
      1.3794232571722123,
      1.3559984022513114,
      1.3330678110849015,
      1.3106160949948478,
      1.2886282770698163,
      1.2670898600439753,
      1.2459868610960578,
      1.225305825766869,
      1.2050338291595042,
      1.185158613759411,
      1.1656698880607088,
      1.1465582513964152,
      1.1278143168952364,
      1.1094295920869461,
      1.0913958270957032,
      1.0737066940696545,
      1.0563562515159401,
      1.039337588179581,
      1.0226432620511214,
      1.00626558391493,
      0.9901968017672197,
      0.9744292203831034,
      0.9589552749174266,
      0.9437675768529091,
      0.9288589398265565,
      0.914222393339442,
      0.899851187897371,
      0.885738795365435,
      0.8718789053479215,
      0.8582654198165903,
      0.8448924463651531,
      0.8317542909150641,
      0.8188454502326876,
      0.8061606043531384,
      0.7936946091034721,
      0.7814424888082174,
      0.7693994291022063,
      0.7575607701006278,
      0.7459219998169161,
      0.7344787482974211,
      0.7232267814902573,
      0.712161995590286,
      0.7012804117346367,
      0.6905781709440735,
      0.6800515292038237,
      0.6696968526248538,
      0.6595106132591659,
      0.6494893848456554,
      0.6396298367649622,
      0.6299286801610495,
      0.620382695607068,
      0.6109887790325826,
      0.601743928541653,
      0.5926452351946659,
      0.5836898753148945,
      0.5748751051423348,
      0.5661982562719208,
      0.5576567321717496,
      0.5492480043458005,
      0.5409696092514426,
      0.5328191461874222,
      0.524794274669592,
      0.516892712248599,
      0.5091122326307249,
      0.5014506633018017,
      0.49390588370764793,
      0.4864758240543682,
      0.47915846285836644,
      0.47195165689380075,
      0.46485291413613256,
      0.45785989822658674,
      0.4509705219137202,
      0.44418316054665347,
      0.43749637102709193,
      0.430908647673859,
      0.4244184531370273,
      0.41802424070682287,
      0.41172446807154917,
      0.40551760660064273,
      0.39940214710908034,
      0.39337660376074224,
      0.38743951567301066,
      0.3815894482220633,
      0.37582528850582436,
      0.3701463860441816,
      0.3645519267877226,
      0.35904091395864174,
      0.3536122390693316,
      0.34826472855276813,
      0.34299725588193897,
      0.33780887193202885,
      0.3326983431892236,
      0.32766427741433046,
      0.322705355156763,
      0.31782031234395886,
      0.3130079289275903,
      0.30826702129216005,
      0.30359644431472016,
      0.298995173795522,
      0.29446223965991897,
      0.289996648306136,
      0.28559741185131876,
      0.2812635446448266,
      0.2769940585576191,
      0.27278796963779794,
      0.2686443025217731,
      0.2645620932952968,
      0.2605403911610236,
      0.2565782594681101,
      0.25267507397130406,
      0.24883038779092045,
      0.2450436017505004,
      0.24131401797676677,
      0.23764087790241106,
      0.2340233875343265,
      0.230460734117007,
      0.22695209709115127,
      0.22349665555383014,
      0.22009359315211535,
      0.21674210101596533,
      0.21344137974776425,
      0.21019062758345528,
      0.20698897497287955,
      0.2038355560714073,
      0.20072955468760253,
      0.1976701916030748,
      0.19465671622412975,
      0.19168840089079725,
      0.18876453702024648,
      0.18588443232071314,
      0.1830474090540006,
      0.18025280283107234,
      0.1774999614925372,
      0.17478824447729255,
      0.1721170223216886,
      0.16948567612254326,
      0.16689359731216807,
      0.1643401873068372,
      0.1618248574033593,
      0.15934702847793694,
      0.1569061307738487,
      0.1545016035354394,
      0.15213289506660152,
      0.14979946246374962,
      0.14750077152545335,
      0.14523629657791212,
      0.14300552019693374,
      0.14080793304858036,
      0.13864303403254286,
      0.13651032978761818,
      0.1344093348434104,
      0.1323395713047856,
      0.13030056875006746,
      0.12829186412582544,
      0.1263130015685497,
      0.1243635323243494,
      0.12244301464606418,
      0.12055101367368327,
      0.11868710131071844,
      0.11685085602639,
      0.11504186292026176,
      0.11325971331174388,
      0.11150400501110186,
      0.10977434200037381,
      0.10807033439556574,
      0.10639159818664336,
      0.10473775532789285,
      0.10310843356773691,
      0.10150326636155603,
      0.09992189270161385,
      0.09836395722638351,
      0.09682910996069632,
      0.0953170063225239,
      0.09382730679148009,
      0.09235967716722877,
      0.09091378833703713,
      0.08948931616291356,
      0.0880859413984868,
      0.08670334972464899,
      0.08534123159863567,
      0.08399928207543171,
      0.08267720087760774,
      0.08137469226495628,
      0.08009146498085341,
      0.07882723220137917,
      0.07758171140539855,
      0.076354624256289,
      0.07514569671182598,
      0.07395465888232675,
      0.072781244856083,
      0.07162519279356193,
      0.07048624459073735,
      0.06936414618930417,
      0.06825864754196341,
      0.06716950210555885,
      0.0660964670790274,
      0.06503930336807737,
      0.06399777539219398,
      0.06297165114298502,
      0.06196070209660704,
      0.0609647031421596,
      0.059983432506730924,
      0.05901667185538416,
      0.058064205989889386,
      0.05712582284254552,
      0.05620131372333398,
      0.055290473000468576,
      0.05439309800896809,
      0.053508989291552414,
      0.05263795028212039,
      0.05177978735309313,
      0.0509343096605422,
      0.05010132927390154,
      0.049280661102835674,
      0.04847212285747191,
      0.04767553488532019,
      0.04689072027625622,
      0.04611750468170996,
      0.04535571633453612,
      0.044605186094421434,
      0.04386574730950494,
      0.04313723580796784,
      0.04241948985167551,
      0.04171235012756724,
      0.04101565963375172,
      0.040329263867097266,
      0.039653010412789035,
      0.03898674916533889,
      0.03833033222759688,
      0.03768361404098188,
      0.03704645115539852,
      0.036418702258923956,
      0.03580022808180355,
      0.035190891384647066,
      0.034590557062667636,
      0.03399909198781539,
      0.033416365014269984,
      0.03284224697243904,
      0.03227661053386542,
      0.03171933017541231,
      0.031170282401826028,
      0.030629345559230466,
      0.03009639966544714,
      0.02957132656476457,
      0.029054009860771363,
      0.028544334945002685,
      0.02804218882901525,
      0.02754746021180412,
      0.027060039419953184,
      0.026579818424263515,
      0.026106690836968562,
      0.025640551864960764,
      0.025181298198883977,
      0.024728828003281803,
      0.024283041116454577,
      0.023843838741055227,
      0.02341112355380562,
      0.02298479971262191,
      0.02256477279339108,
      0.02215094974464064,
      0.021743238860620913,
      0.021341549740160736,
      0.02094579340366199,
      0.020555882307297255,
      0.02017173002538728,
      0.019793251491155073,
      0.019420362943275725,
      0.019052981731425746,
      0.01869102646323005,
      0.018334416959079346,
      0.017983074274968102,
      0.017636920565128073,
      0.017295879222289576,
      0.01695987471093585,
      0.016628832621344077,
      0.016302679638674458,
      0.015981343529214133,
      0.015664753232636695,
      0.015352838608823142,
      0.015045530436457349,
      0.014742760809739809,
      0.014444462655645996,
      0.014150569929280016,
      0.013861017507408452,
      0.013575741263936496,
      0.01329467812395016,
      0.013017765848020666,
      0.012744943017194874,
      0.012476149288399603,
      0.012211325106774796,
      0.01195041182206983,
      0.011693351700468152,
      0.011440087837793796,
      0.01119056418461425,
      0.010944725491796667,
      0.010702517399015597,
      0.01046388626619154,
      0.010228779172926248,
      0.009997144124312737,
      0.009768929859853623,
      0.009544085811292903,
      0.009322562279579323,
      0.009104310265229345,
      0.008889281346119183,
      0.008677427888322455,
      0.008468703005466396,
      0.008263060527480387,
      0.008060454965630449,
      0.007860841435869856,
      0.007664175730929525,
      0.007470414210381426,
      0.007279513998210448,
      0.007091432935645384,
      0.006906129377324988,
      0.006723562327030929,
      0.006543691289407108,
      0.006366476531070681,
      0.006191878746313407,
      0.006019859329275088,
      0.005850380241333686,
      0.005683403912782938,
      0.005518893457943601,
      0.005356812422431901,
      0.005197124976987513,
      0.005039795675143813,
      0.004884789727675881,
      0.004732072859665995,
      0.004581611194909228,
      0.004433371415736648,
      0.004287320733930099,
      0.004143426800295354,
      0.004001657800150845,
      0.003861982385906728,
      0.003724369604864276,
      0.003588789031995686,
      0.003455210606154687,
      0.0033236048046395203,
      0.003193942431899182,
      0.0030661948611552877,
      0.0029403338200329407,
      0.0028163313877945227,
      0.0026941600897482927,
      0.002573792935541696,
      0.002455203255717683,
      0.0023383648388863683,
      0.0022232517905666845,
      0.00210983871156621,
      0.001998100490025438,
      0.0018880129341887395,
      0.0017795531738812268,
      0.001672698330237738,
      0.001567425400443582,
      0.001463711377431339,
      0.001361533560307726,
      0.0012608693889054013,
      0.0011616966350624278,
      0.001063993347093171,
      0.0009677378654757509,
      0.0008729087187892972,
      0.000779484793680115,
      0.0006874453284468379,
      0.0005967697678774728,
      0.0005074379243386557,
      0.0004194299238854556,
      0.00033272614751271026,
      0.0002473072047050505,
      0.00016315409919250918,
      8.024805267061765e-05,
      -1.4293972041760878e-06,
      -8.189645031047324e-05,
      -0.00016117107095713767,
      -0.0002392709691912009,
      -0.00031621352426811365,
      -0.00039201588445804446,
      -0.00046669492636459726,
      -0.0005402673084990372,
      -0.0006127493520501183,
      -0.0006841572449994465,
      -0.0007545069530333501,
      -0.0008238141104091591,
      -0.0008920942086337472,
      -0.000959362453571313,
      -0.0010256338571814107,
      -0.0010909232198407436,
      -0.0011552450550863284,
      -0.0012186137293573303,
      -0.001281043282750133,
      -0.0013425475606024069,
      -0.0014031404142570562,
      -0.0014628352909408465,
      -0.0015216455283166188,
      -0.001579584184246785,
      -0.0016366642280671506,
      -0.0016928984068955686,
      -0.0017482992129415923,
      -0.0018028790791590123,
      -0.0018566501987094235,
      -0.0019096244902784157,
      -0.0019618137084924684,
      -0.002013229528256228,
      -0.002063883380636586,
      -0.0021137865295410697,
      -0.002162950141336414,
      -0.0022113852333604618,
      -0.002259102558141877
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56667603888015,
      10.336059039204525,
      10.097251576010722,
      9.853375763290058,
      9.606940530438573,
      9.360133918252037,
      9.114864777090451,
      8.872730644383633,
      8.634985824496281,
      8.402559832713283,
      8.176085604549868,
      7.955918867850243,
      7.742168280976454,
      7.5347323671910225,
      7.333336002290841,
      7.1375804977135555,
      6.94698954883349,
      6.761045928198978,
      6.57922302981437,
      6.401014319931137,
      6.225950649274095,
      6.05359999217554,
      5.883585988019876,
      5.715604574483467,
      5.549426289882528,
      5.384898631617669,
      5.221946694224399,
      5.060578001985552,
      4.900867232569226,
      4.742947708363181,
      4.587023898025924,
      4.433362544548137,
      4.282298596891352,
      4.134217244309527,
      3.989519926987109,
      3.8486076862224987,
      3.711867297960664,
      3.579663371556188,
      3.4523221217890527,
      3.330120329093725,
      3.2132801808878506,
      3.101966484322305,
      2.996285287722699,
      2.896273135283922,
      2.801893005709373,
      2.7130438185431656,
      2.629585885663616,
      2.5513196092339383,
      2.4780038116932026,
      2.409394620114673,
      2.345236399303186,
      2.285237223562404,
      2.229077294180993,
      2.1764016950491376,
      2.126827266811144,
      2.079990276809537,
      2.035558204070008,
      1.9932242579926807,
      1.952722564406098,
      1.9138304750098414,
      1.876372090647693,
      1.8402070650836324,
      1.8052189182758795,
      1.7713053427046945,
      1.7383820238833676,
      1.706380534572895,
      1.6752442028233725,
      1.6449251127991382,
      1.6153816509640264,
      1.5865769878589788,
      1.558477977735325,
      1.5310522151130455,
      1.5042688226076035,
      1.4781003064762188,
      1.4525217871893228,
      1.4275104618112755,
      1.4030452196860272,
      1.3791068006610183,
      1.3556784627020246,
      1.3327445049398305,
      1.3102895266043182,
      1.2882985417563793,
      1.2667570461740816,
      1.2456510521734416,
      1.2249671016812436,
      1.204692266792041,
      1.1848143635423067,
      1.1653232068535024,
      1.1462093325384446,
      1.1274633260597295,
      1.1090766787551876,
      1.0910412390740694,
      1.0733508229985584,
      1.0559993719929905,
      1.0389798970763493,
      1.0222849041161557,
      1.0059066689513052,
      0.9898374160522861,
      0.974069434125678,
      0.9585951473909707,
      0.9434071599246152,
      0.9284982804985473,
      0.9138615350510005,
      0.8994901717105235,
      0.8853776604246276,
      0.8715176896840481,
      0.8579041603259616,
      0.8445311789807659,
      0.8313930512763652,
      0.8184842733794487,
      0.8057995248168067,
      0.7933336608873826,
      0.7810817053584013,
      0.7690388432430594,
      0.7572004141903889,
      0.7455619060462978,
      0.7341189482424653,
      0.722867306266475,
      0.7118028759217602,
      0.7009216777856259,
      0.6902198523450388,
      0.6796936549160535,
      0.6693394511524167,
      0.6591537125981898,
      0.6491330128572751,
      0.6392740197608949,
      0.6295734425965616,
      0.6200280621535461,
      0.6106347746591745,
      0.6013905780067546,
      0.5922925627852336,
      0.583337905162879,
      0.5745238611788386,
      0.5658477619971288,
      0.5573070103917352,
      0.5488990773348938,
      0.5406214990845231,
      0.5324718744561924,
      0.5244478625487895,
      0.5165471804528952,
      0.5087676013659547,
      0.5011069521075533,
      0.4935631119288344,
      0.4861340102900681,
      0.47881762526843563,
      0.471611864225181,
      0.4645142551105446,
      0.45752243689741673,
      0.45063434618872766,
      0.44384840837334993,
      0.4371631384698424,
      0.43057700098563784,
      0.4240884387011535,
      0.4176958912928674,
      0.4113978074369864,
      0.40519265232689,
      0.3990789128525178,
      0.3930551001369902,
      0.38711975125449616,
      0.381271430244247,
      0.3755091235272677,
      0.3698321862940098,
      0.3642397648569985,
      0.35873083612031853,
      0.3533042742515865,
      0.3479588943337759,
      0.34269359128141386,
      0.3375074105761681,
      0.3323991014972534,
      0.3273672640869955,
      0.3224105736732052,
      0.31752776273743305,
      0.3127176088078478,
      0.307978926588765,
      0.3033105770434753,
      0.29871154493064334,
      0.2941808534545024,
      0.2897175055072175,
      0.28532051144834014,
      0.2809888829748753,
      0.27672163012929224,
      0.27251776765316815,
      0.2683763192894504,
      0.2642963205365217,
      0.2602768201079402,
      0.25631688871488384,
      0.25241591953700465,
      0.24857345930559063,
      0.24478890162628683,
      0.24106154384082196,
      0.23739062420843987,
      0.23377534647384607,
      0.23021489627860506,
      0.22670845209965695,
      0.22325519242433434,
      0.21985430037321946,
      0.21650496662957044,
      0.2132063915783044,
      0.2099577705788281,
      0.20675823042502994,
      0.20360690744029353,
      0.20050298680238396,
      0.19744569022424102,
      0.19443426778663406,
      0.19146799218465313,
      0.18854615510067863,
      0.18566806445645984,
      0.18283304263738598,
      0.180040425236756,
      0.1772895601262154,
      0.17457980674730433,
      0.1719105356035595,
      0.16928112783697105,
      0.166690974850046,
      0.16413947804882076,
      0.1616260488147953,
      0.15915010793655907,
      0.1567110855045707,
      0.154308420817348,
      0.15194156221714725,
      0.1496099668541623,
      0.14731310046868598,
      0.14505043729856232,
      0.14282145994012962,
      0.14062565918226191,
      0.13846253390796112,
      0.1363315908156142,
      0.1342323442649344,
      0.13216431646326307,
      0.1301270369563603,
      0.12812004261196233,
      0.12614287762501422,
      0.12419509343750577,
      0.1222762482349193,
      0.12038590714425385,
      0.11852364202736602,
      0.11668903150543526,
      0.11488166068023359,
      0.11310112095875755,
      0.11134701011432675,
      0.10961893211350744,
      0.10791649698248341,
      0.10623932090286559,
      0.10458702576792454,
      0.10295923938749052,
      0.10135559527349518,
      0.09977573250171803,
      0.09821929570034128,
      0.09668593501261619,
      0.09517530581114436,
      0.09368706865242758,
      0.09222088935076535,
      0.09077643884122194,
      0.08935339309235321,
      0.08795143295316593,
      0.08657024406806912,
      0.08520951692325418,
      0.08386894666777767,
      0.0825482330054493,
      0.08124708020433835,
      0.079965197087613,
      0.07870229682068146,
      0.07745809698454947,
      0.07623231939414178,
      0.07502469003720504,
      0.07383493901495278,
      0.07266280046606202,
      0.07150801255916255,
      0.07037031747740025,
      0.06924946124614384,
      0.06814519362225394,
      0.0670572681812022,
      0.06598544231974422,
      0.06492947689730465,
      0.0638891363159894,
      0.06286418868708533,
      0.061854405575115366,
      0.060859562003080445,
      0.05987943614879976,
      0.058913809680152945,
      0.05796246754585984,
      0.05702519783642375,
      0.056101791837500206,
      0.0551920440319005,
      0.05429575181450799,
      0.053412715672736054,
      0.05254273915921475,
      0.05168562866934078,
      0.05084119352817564,
      0.05000924585345043,
      0.04918960065446806,
      0.04838207568132774,
      0.04758649138613415,
      0.04680267079914683,
      0.04603043961823839,
      0.04526962620647322,
      0.04452006147594234,
      0.04378157889562722,
      0.0430540143566843,
      0.04233720617996645,
      0.04163099504724797,
      0.040935224046365334,
      0.04024973861741529,
      0.03957438653657833,
      0.03890901782281549,
      0.03825348472000393,
      0.03760764163369826,
      0.036971345146077306,
      0.03634445403580784,
      0.035726829071200825,
      0.0351183331418899,
      0.0345188312234629,
      0.03392819021013549,
      0.03334627906999577,
      0.03277296853083056,
      0.03220813138700972,
      0.03165164237478728,
      0.03110337792505901,
      0.0305632164253956,
      0.030031037961117554,
      0.029506724476875947,
      0.028990159690666525,
      0.028481228932263326,
      0.027979819267508192,
      0.027485819553097007,
      0.02699912023120793,
      0.026519613333655417,
      0.02604719247983368,
      0.02558175289937773,
      0.02512319130247416,
      0.024671405978228634,
      0.024226296823149925,
      0.023787765127597185,
      0.023355713609232352,
      0.022930046477863696,
      0.022510669416606715,
      0.022097489410080856,
      0.021690414729956982,
      0.021289355136007267,
      0.0208942217577712,
      0.020504927096633967,
      0.02012138481050549,
      0.01974350980176754,
      0.019371218297589272,
      0.01900442775702371,
      0.018643056872147984,
      0.018287025637682773,
      0.017936255050178533,
      0.017590667351894556,
      0.017250185917078924,
      0.016914735276119298,
      0.0165842410805221,
      0.01625863009792423,
      0.01593783009664151,
      0.01562177003348409,
      0.015310379768882072,
      0.015003590332532362,
      0.01470133376128414,
      0.014403543068162418,
      0.01411015225310183,
      0.01382109626685692,
      0.01353631113143169,
      0.013255733758939497,
      0.012979301920704074,
      0.012706954295870739,
      0.012438630574298414,
      0.012174271220043328,
      0.011913817689736416,
      0.01165721224098652,
      0.011404398023931008,
      0.011155319017285005,
      0.010909920095026174,
      0.010668146892679423,
      0.010429945784970281,
      0.010195264038244061,
      0.009964049571493919,
      0.009736251101988412,
      0.009511818300432146,
      0.009290701396262327,
      0.009072851287672308,
      0.00885821978161977,
      0.008646759404657596,
      0.008438423222990973,
      0.008233165110210636,
      0.008030939496075992,
      0.007831701588620963,
      0.007635407223708854,
      0.007442013003579658,
      0.007251476050045014,
      0.007063754148126194,
      0.006878805675667254,
      0.006696589681809145,
      0.006517065789892679,
      0.00634019423607636,
      0.006165935815211333,
      0.005994251879602292,
      0.005825104403515013,
      0.005658455974067556,
      0.0054942695043742745,
      0.005332508711421937,
      0.005173137725356488,
      0.0050161213179972285,
      0.004861424681585729,
      0.004709013610472847,
      0.004558854309389539,
      0.004410913489940654,
      0.004265158348023395,
      0.004121556587803728,
      0.003980076409495573,
      0.0038406864988108544,
      0.0037033559233520183,
      0.0035680542591613623,
      0.0034347515477384507,
      0.0033034182355686312,
      0.0031740252808824918,
      0.003046543988666004,
      0.0029209460891971408,
      0.0027972037286017083,
      0.002675289486328523,
      0.002555176382499069,
      0.0024368378544330715,
      0.0023202476590037198,
      0.0022053800111593576,
      0.0020922094254537172,
      0.0019807107242922725,
      0.0018708593715416613,
      0.0017626318595065737,
      0.001656005514966492,
      0.0015509576850960575,
      0.0014474657312523284,
      0.0013455071500900067,
      0.0012450594724482034,
      0.0011461005440049994,
      0.0010486084128717079,
      0.0009525614407051429,
      0.0008579383130439969,
      0.0007647179939017243,
      0.0006728796876041293,
      0.0005824028780780898,
      0.0004932675028744564,
      0.00040545359422522833,
      0.00031894149986874963,
      0.00023371200938971336,
      0.00014974619603098466,
      6.702528523510226e-05,
      -1.446926635878335e-05,
      -9.475569116055428e-05,
      -0.0001738517722633205,
      -0.0002517751040402345,
      -0.0003285432376076172,
      -0.00040417326627606806,
      -0.00047868198163816816,
      -0.000552086041374625,
      -0.0006244018501102832,
      -0.0006956455220432164,
      -0.0007658329251168739,
      -0.0008349797625826829,
      -0.0009031014562495205,
      -0.0009702131753621218,
      -0.0010363298261351947,
      -0.0011014662630807123,
      -0.001165636965454901,
      -0.0012288562468994856,
      -0.001291138298921194,
      -0.001352496972992278,
      -0.0014129459050051555,
      -0.0014724986705846616,
      -0.0015311685392192323,
      -0.001588968583877873,
      -0.0016459116622227835,
      -0.0017020104416272741,
      -0.0017572775062088077,
      -0.0018117252853434248,
      -0.0018653658479773824,
      -0.0019182111028389185,
      -0.0019702728641613674,
      -0.002021562802567489,
      -0.0020720923064512804,
      -0.0021218726285767717,
      -0.002170914917609861,
      -0.002219230102560277,
      -0.002266829005904557
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56667355535964,
      10.336047318487923,
      10.097224469406207,
      9.853328329153765,
      9.60686882236331,
      9.360035266759912,
      9.114737541251676,
      8.872574159266605,
      8.63480038409514,
      8.402346019365933,
      8.175844111461064,
      7.9556503917276356,
      7.74187344895539,
      7.534411566729146,
      7.33298926571355,
      7.137207791978871,
      6.946590796841133,
      6.760621089672305,
      6.5787721366490075,
      6.400537545969992,
      6.225448323203281,
      6.053072713008185,
      5.8830345247832545,
      5.71502991781351,
      5.548829712741861,
      5.384281669649961,
      5.221311174111135,
      5.059926072706061,
      4.9002012143554,
      4.742270178276394,
      4.586337763583548,
      4.4326712191948765,
      4.281606135098344,
      4.133527715875211,
      3.9888373509933763,
      3.84793592638419,
      3.711210065368975,
      3.579024207293532,
      3.4517041692578356,
      3.32952629301703,
      3.212712300390903,
      3.101426520310932,
      2.9957744530586354,
      2.895792040267108,
      2.801441587950536,
      2.7126214351060436,
      2.629191432422071,
      2.5509512999942507,
      2.477659582544907,
      2.4090722406574043,
      2.3449334869916303,
      2.2849512403012873,
      2.2288056301833743,
      2.1761413714593925,
      2.1265753828335257,
      2.0797441036150497,
      2.0353153064903884,
      1.992982503883774,
      1.952480293326392,
      1.913586458111877,
      1.8761254457662995,
      1.839957152594813,
      1.804965279877031,
      1.7710476578540164,
      1.7381200939978556,
      1.7061142481939726,
      1.674973493305346,
      1.6446499560392962,
      1.615102059972593,
      1.5862930021546942,
      1.5581896682347323,
      1.530759684281718,
      1.5039721690074805,
      1.4777996257323989,
      1.4522171730572344,
      1.427202006324527,
      1.4027330128906532,
      1.3787909633009172,
      1.3553591291210665,
      1.3324217925606383,
      1.3099635399793526,
      1.287969376697537,
      1.2664247919237595,
      1.245315792834739,
      1.2246289176684455,
      1.2043512350273513,
      1.1844706351833394,
      1.1649770392021306,
      1.1458609189400326,
      1.1271128404056154,
      1.108724267836761,
      1.0906871491042178,
      1.0729954445565095,
      1.0556429788401784,
      1.0386226858266208,
      1.0219270191759444,
      1.0055482196955374,
      0.9894784884962456,
      0.9737100982276128,
      0.9582354624890748,
      0.9430471780105945,
      0.928138048604668,
      0.9135010966533059,
      0.8991295680150995,
      0.8850169309286596,
      0.8711568723686809,
      0.8575432919391796,
      0.8441702958179933,
      0.8310321888325993,
      0.8181234664488949,
      0.8054388078373891,
      0.7929730677668684,
      0.7807212695967679,
      0.7686785978675769,
      0.7568403916561236,
      0.7452021383819992,
      0.7337594668818304,
      0.7225081423285293,
      0.711444060101291,
      0.700563240234359,
      0.6898618225700128,
      0.6793360621267674,
      0.6689823241929023,
      0.6587970798714227,
      0.648776902088295,
      0.6389184573958723,
      0.6292184530367815,
      0.6196736703875787,
      0.6102810055054804,
      0.601037456291233,
      0.5919401130800503,
      0.5829861516458187,
      0.5741728276126157,
      0.5654974718541573,
      0.5569574868708248,
      0.5485503429641538,
      0.5402735757749775,
      0.5321247837515962,
      0.5241016254614179,
      0.5162018174967862,
      0.5084231326593642,
      0.5007633975201506,
      0.49322049063872037,
      0.4857923410453598,
      0.478476926363636,
      0.4712721855400243,
      0.46417569172129264,
      0.4571850571888664,
      0.4502982666112206,
      0.44351376197690784,
      0.4368300161121787,
      0.43024546538776093,
      0.42375853399493535,
      0.41736764896354867,
      0.4110712503862243,
      0.4048677976800947,
      0.39875577362243736,
      0.39273368658941227,
      0.38680007182765996,
      0.38095349266139394,
      0.37519303456918085,
      0.3695180575857683,
      0.36392766862617676,
      0.3584208185665128,
      0.3529963642650122,
      0.3476531093111922,
      0.34238997008275807,
      0.33720598691751563,
      0.33209989167956044,
      0.32707027668744765,
      0.3221158120668403,
      0.31723522675800164,
      0.31242729608724007,
      0.30769083317326523,
      0.3030247047784343,
      0.2984279047647353,
      0.29389944978524735,
      0.28943833926928053,
      0.28504358188803836,
      0.28071418648909335,
      0.27644916103851497,
      0.272247519155061,
      0.2681082836685614,
      0.26403048953361574,
      0.26001318501817516,
      0.2560554517485179,
      0.2521566984028848,
      0.24831646182607175,
      0.24453412903518038,
      0.24080899291868152,
      0.23714028873850643,
      0.23352721831597542,
      0.22996896589998986,
      0.226464709035328,
      0.2230136254907883,
      0.21961489786536373,
      0.21626771666686084,
      0.21297128200356927,
      0.2097247864643468,
      0.20652735310258089,
      0.20337812049083015,
      0.2002762751559868,
      0.19722103973534635,
      0.19421166479889246,
      0.19124742349132404,
      0.18832760780369337,
      0.18545152573689833,
      0.18261849972864078,
      0.17982786551173507,
      0.17707897105684484,
      0.17437117578737618,
      0.17170385017890855,
      0.1690763753981184,
      0.1664881428162378,
      0.16393855393573087,
      0.16142701994217398,
      0.15895296159872174,
      0.15651580915925328,
      0.15411500189291924,
      0.15174998810351376,
      0.14942022488683523,
      0.14712517799463468,
      0.14486432165250748,
      0.1426371385031262,
      0.14044311925525796,
      0.13828176273102818,
      0.13615257567560335,
      0.134055072621968,
      0.13198877561305622,
      0.12995321429584503,
      0.12794792560583398,
      0.12597245375963056,
      0.12402635002801524,
      0.12210917271502969,
      0.1202204868852066,
      0.11835986458275852,
      0.11652688434738907,
      0.11472113120217727,
      0.11294219672562512,
      0.11118967875706343,
      0.10946318126807444,
      0.10776231432392427,
      0.10608669404575226,
      0.10443594237632126,
      0.10280968718954027,
      0.1012075620312282,
      0.09962920602546421,
      0.09807426387598231,
      0.09654238559978023,
      0.09503322663511164,
      0.09354644771977765,
      0.0920817147366291,
      0.09063869858304965,
      0.08921707521688407,
      0.08781652555396341,
      0.08643673534526962,
      0.08507739504833993,
      0.08373819984875304,
      0.0824188495614979,
      0.08111904855808419,
      0.07983850569393326,
      0.07857693412752112,
      0.07733405152698247,
      0.07610957973626176,
      0.07490324480924816,
      0.07371477690931504,
      0.07254391031283922,
      0.07139038321452303,
      0.07025393781079041,
      0.06913432006043246,
      0.06803127991393375,
      0.06694457097189967,
      0.06587395059905035,
      0.06481917979450838,
      0.06378002313539126,
      0.06275624868623404,
      0.06174762798798843,
      0.0607539361359739,
      0.059774951533855106,
      0.058810455930654856,
      0.057860234208661494,
      0.056924074555708824,
      0.05600176836639747,
      0.05509311013285113,
      0.05419789741419113,
      0.05331593071234536,
      0.0524470136324926,
      0.05159095253637005,
      0.0507475568521177,
      0.049916638771724066,
      0.049098013388781475,
      0.048291498528596384,
      0.04749691463683628,
      0.04671408488130637,
      0.04594283499045103,
      0.04518299351855902,
      0.0444343913100304,
      0.043696861921063083,
      0.042970241264982716,
      0.04225436790041043,
      0.041549082536775965,
      0.04085422831201345,
      0.040169650700609565,
      0.03949519749431754,
      0.03883071874388917,
      0.038176066802071806,
      0.03753109610446397,
      0.036895663334183475,
      0.03626962736908984,
      0.035652849177139664,
      0.035045191573236684,
      0.03444651950490558,
      0.033856700012291956,
      0.0332756020561315,
      0.03270309655989199,
      0.032139056392721944,
      0.03158335625165544,
      0.03103587264327956,
      0.030496483967633284,
      0.029965070488657146,
      0.029441514190755885,
      0.02892569880151953,
      0.028417509782419068,
      0.02791683437760222,
      0.02742356135751016,
      0.026937581296681983,
      0.026458786152232988,
      0.025987069649424318,
      0.025522327113977897,
      0.02506445548263332,
      0.024613353065401064,
      0.024168919701188958,
      0.023731056728530948,
      0.023299667000321347,
      0.022874654662571253,
      0.022455925421918897,
      0.022043386322694838,
      0.021636945911179175,
      0.02123651402383918,
      0.020842001733292034,
      0.020453321502688807,
      0.02007038709086705,
      0.019693113380218442,
      0.019321416781168905,
      0.01895521482809685,
      0.018594426264028543,
      0.01823897098267537,
      0.01788877022371935,
      0.0175437463022804,
      0.017203822641719557,
      0.01686892384265054,
      0.016538975546175224,
      0.01621390454351729,
      0.015893638756267058,
      0.015578107042735484,
      0.015267239460052637,
      0.014960967136097089,
      0.01465922208861416,
      0.014361937327670464,
      0.014069046936671981,
      0.013780485928227733,
      0.013496190371103164,
      0.01321609722228528,
      0.01294014421322558,
      0.01266827020374959,
      0.012400414846885227,
      0.012136518670181342,
      0.011876523211418797,
      0.011620370884803041,
      0.011368004850456343,
      0.01111936912239511,
      0.010874408407536031,
      0.010633068395614086,
      0.010395295692239277,
      0.010161037559382701,
      0.009930242045706254,
      0.009702858018086584,
      0.00947883493553046,
      0.009258123089973546,
      0.009040673640056647,
      0.008826438368733813,
      0.008615369761255503,
      0.008407421054075515,
      0.008202545962322642,
      0.008000699115351275,
      0.007801835802031411,
      0.007605911865647261,
      0.007412883842269188,
      0.007222708891794907,
      0.007035344833412036,
      0.006850750247501201,
      0.006668884032980287,
      0.006489705869393385,
      0.006313176097019175,
      0.006139255548330549,
      0.005967905661557921,
      0.0057990884820074175,
      0.005632766614779833,
      0.005468903046317578,
      0.0053074615016655245,
      0.0051484061874823,
      0.004991701823495561,
      0.0048373135992817425,
      0.004685207419418602,
      0.0045353494770506795,
      0.004387706547269873,
      0.004242245863130387,
      0.004098935165208389,
      0.0039577426704066505,
      0.0038186370424796974,
      0.0036815874027183127,
      0.0035465634696372032,
      0.0034135352744776907,
      0.0032824733173259456,
      0.00315334859758684,
      0.003026132379206968,
      0.002900796446435562,
      0.0027773131336803667,
      0.002655655006879049,
      0.0025357950865152763,
      0.002417706722499367,
      0.0023013638014828942,
      0.002186740510469967,
      0.0020738114392456573,
      0.001962551435928113,
      0.0018529359536712368,
      0.0017449406553202995,
      0.001638542437149702,
      0.0015337191984436623,
      0.001430448571521135,
      0.001328708311293,
      0.0012284761822095587,
      0.001129730125632475,
      0.0010324482111291218,
      0.0009366089131804336,
      0.0008421909311961371,
      0.0007491732839553062,
      0.0006575352908362513,
      0.0005672566051718519,
      0.00047831686076147984,
      0.0003906962792178053,
      0.0003043752484541483,
      0.00021933454481197663,
      0.00013555521941478743,
      5.301852381827493e-05,
      -2.829403650880013e-05,
      -0.00010840053916248861,
      -0.00018731886238232154,
      -0.00026506663426133074,
      -0.00034166118739254847,
      -0.0004171195378162183,
      -0.0004914585983490402,
      -0.0005646949648494216,
      -0.0006368449878632589,
      -0.0007079248304663606,
      -0.0007779504744461031,
      -0.0008469375539563022,
      -0.0009149014297961906,
      -0.0009818572241366826,
      -0.00104781991803805,
      -0.0011128042259230919,
      -0.0011768246022540703,
      -0.0012398953876085086,
      -0.001302030648499835,
      -0.0013632442453121677,
      -0.0014235499758175995,
      -0.0014829612478416273,
      -0.0015414912525250613,
      -0.0015991530480106478,
      -0.0016559595598977662,
      -0.0017119235618703612,
      -0.0017670575223557436,
      -0.0018213736979114036,
      -0.0018748842897431757,
      -0.0019276011860796748,
      -0.001979536078883627,
      -0.002030700547828857,
      -0.002081106086767951,
      -0.00213076400243607,
      -0.002179685427117152,
      -0.002227881305164801,
      -0.0022753622832954235
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566671077332298,
      10.336035625122777,
      10.097197428518223,
      9.853281016515929,
      9.606797310037464,
      9.359936900420003,
      9.114610691897967,
      8.872418171093445,
      8.634615559548052,
      8.402132947320567,
      8.175603486881945,
      7.955382914066272,
      7.741579748629498,
      7.53409203177772,
      7.332643928430303,
      7.136836616235369,
      6.946193685335698,
      6.760198001700304,
      6.578323108399543,
      6.400062753185415,
      6.224948097645789,
      6.052547657685819,
      5.88248541358162,
      5.714457745172118,
      5.548235752114242,
      5.383667457068273,
      5.220678534242423,
      5.059277151928384,
      4.899538331541838,
      4.741595906430768,
      4.585655004751753,
      4.4319833785264375,
      4.2809172557199675,
      4.132841853551919,
      3.9881585094475485,
      3.847267953481023,
      3.710556654837189,
      3.578388882620757,
      3.4510900581538224,
      3.3289360848070455,
      3.212148218507826,
      3.100890311312778,
      2.995267317399843,
      2.895314577773561,
      2.800993726932518,
      2.712202525826842,
      2.6288003650433893,
      2.550586284028056,
      2.4773185187925058,
      2.4087528718581748,
      2.344633439698447,
      2.284667985731546,
      2.228536569187691,
      2.175883536942351,
      2.126325886166794,
      2.07950022779992,
      2.0350746271540916,
      1.9927428988621994,
      1.9522401105403875,
      1.9133444760261933,
      1.8758807883392776,
      1.8397091850812903,
      1.8047135478376155,
      1.7707918432418968,
      1.737860001041993,
      1.7058497683446734,
      1.6747045619408216,
      1.6443765503349428,
      1.614824194425108,
      1.5860107167456385,
      1.5579030346825902,
      1.530468806132362,
      1.503677146121347,
      1.4775005551918552,
      1.4519141493102699,
      1.426895121681006,
      1.4024223580630757,
      1.3784766604900842,
      1.355041313233564,
      1.3321005807327808,
      1.3096390370461481,
      1.2876416787061804,
      1.26609398814622,
      1.2449819678542084,
      1.224292152417782,
      1.2040116074392158,
      1.1841282967950777,
      1.164632247772908,
      1.145513868804694,
      1.1267637057026454,
      1.1083731956224963,
      1.0903343855148402,
      1.07264138020757,
      1.055287887639208,
      1.0382667644376118,
      1.0215704120579334,
      1.0051910362248073,
      0.98912081478767,
      0.9733520044346087,
      0.957877008136183,
      0.9426884154679933,
      0.9277790249648976,
      0.9131418556915628,
      0.8987701509645956,
      0.8846573773444915,
      0.8707972205729814,
      0.8571835794044157,
      0.8438105591331938,
      0.8306724637610213,
      0.8177637883319132,
      0.8050792113273733,
      0.7926135871106851,
      0.7803619384009719,
      0.7683194493374865,
      0.7564814585210256,
      0.7448434526580244,
      0.7334010603892075,
      0.7221500463861965,
      0.7110863051617639,
      0.7002058564760697,
      0.6895048399213235,
      0.6789795100026441,
      0.6686262315281739,
      0.6584414750439747,
      0.6484218127577965,
      0.6385639097994666,
      0.6288644718070778,
      0.6193202804716248,
      0.6099282319155346,
      0.6006853239000977,
      0.591588646537497,
      0.5826353752370617,
      0.573822765211715,
      0.5651481470994777,
      0.5566089224941494,
      0.5482025615619452,
      0.5399265996323253,
      0.5317786346092305,
      0.5237563245549008,
      0.5158573856154227,
      0.5080795899947751,
      0.50042076366049,
      0.49287878488668513,
      0.48545158217130924,
      0.4781371326831921,
      0.47093340710513576,
      0.46383802390604345,
      0.4568485685730171,
      0.44996308791507383,
      0.443180021325697,
      0.4364978011541066,
      0.42991483685037957,
      0.42342953423293767,
      0.41704030830222066,
      0.41074559105198255,
      0.404543836503707,
      0.39843352339585825,
      0.3924131574047064,
      0.38648127191908416,
      0.3806364812950874,
      0.3748779423609608,
      0.3692049690296904,
      0.3636166380965067,
      0.3581118803661172,
      0.35268953936685893,
      0.34734840992425137,
      0.3420874317368088,
      0.33690564100400394,
      0.3318017531843431,
      0.3267743535715543,
      0.32182210722589905,
      0.3169437397953949,
      0.31213802427057685,
      0.30740377232875976,
      0.30273985680172216,
      0.29814528069603524,
      0.29361905397656535,
      0.28916017252329546,
      0.284767643295541,
      0.28044047248303666,
      0.276177666306896,
      0.2719782370360574,
      0.26784120672911516,
      0.26376560941807675,
      0.2597504931565649,
      0.2557949503738081,
      0.2518984050456365,
      0.24806038410642653,
      0.2442802681122768,
      0.24055734562577055,
      0.23689084901318347,
      0.23327997805824272,
      0.22972391566844974,
      0.22622183844411559,
      0.22277292341073646,
      0.219376352798844,
      0.2160313167765155,
      0.2127370152148922,
      0.20949263790815134,
      0.20629730409452077,
      0.20315015446981072,
      0.20005037710113577,
      0.19699719549977648,
      0.1939898608401377,
      0.1910276466916864,
      0.18810984518986604,
      0.1852357646568776,
      0.18240472773650002,
      0.179616070061361,
      0.17686913957637096,
      0.17416329575264275,
      0.17149790907149784,
      0.1688723606692966,
      0.16628604193276048,
      0.16373835434224196,
      0.16122870907363215,
      0.15875652694319936,
      0.15632123807844964,
      0.15392228170893693,
      0.1515591061975469,
      0.1492311686892144,
      0.14693793494918952,
      0.14467887915512676,
      0.14245348389678292,
      0.14026123990079858,
      0.1381016460200304,
      0.13597420907499502,
      0.13387844351481423,
      0.13181387136776473,
      0.12978002229656124,
      0.1277764333334259,
      0.125802648662947,
      0.12385821954709739,
      0.1219427042849677,
      0.12005566817515753,
      0.11819668306092136,
      0.11636532751309987,
      0.11456118663326256,
      0.11278385188420183,
      0.11103292120145866,
      0.10930799873138121,
      0.10760869447499423,
      0.10593462458055686,
      0.10428541104532167,
      0.10266068179966577,
      0.10106007046086223,
      0.09948321610558367,
      0.09792976347468729,
      0.09639936254750552,
      0.0948916688597385,
      0.09340634323536827,
      0.09194305153068803,
      0.09050146465619976,
      0.08908125871776727,
      0.08768211452654322,
      0.0863037179717845,
      0.08494575955551081,
      0.08360793458900628,
      0.08228994297680198,
      0.08099148915033894,
      0.07971228197009055,
      0.07845203471632851,
      0.07721046502907665,
      0.07598729478057464,
      0.07478225003947415,
      0.07359506097044051,
      0.07242546193937828,
      0.07127319118839867,
      0.07013799090674049,
      0.06901960725542122,
      0.06791779021211163,
      0.06683229349701629,
      0.0657628745313745,
      0.0647092942535867,
      0.06367131735551289,
      0.06264871200434927,
      0.061641249905029366,
      0.0606487061182501,
      0.0596708590655067,
      0.05870749045126143,
      0.057758385346774445,
      0.056823331974775675,
      0.05590212177953738,
      0.05499454928914843,
      0.05410041205319016,
      0.05321951082384958,
      0.05235164922414392,
      0.05149663378638318,
      0.05065427395070675,
      0.04982438196628037,
      0.049006772908291626,
      0.04820126462567039,
      0.04740767775692811,
      0.046625835422329905,
      0.04585556357145287,
      0.0450966905998032,
      0.04434904756669352,
      0.04361246812448387,
      0.042886788298069724,
      0.04217184645511206,
      0.04146748342190382,
      0.04077354245241716,
      0.040089869226281216,
      0.03941631156609653,
      0.038752719630606315,
      0.03809894581487949,
      0.03745484458225692,
      0.036820272670510606,
      0.03619508894697876,
      0.03557915431334145,
      0.034972331805760266,
      0.034374486563401765,
      0.033785485553713294,
      0.03320519779454814,
      0.0326334943359905,
      0.032070248116635225,
      0.0315153338971281,
      0.03096862829259961,
      0.03043000980633777,
      0.029899358635043394,
      0.029376556907111735,
      0.028861488425629276,
      0.028354038653307746,
      0.027854094856484685,
      0.02736154593169433,
      0.0268762824102534,
      0.026398196475663216,
      0.025927181853574992,
      0.02546313394980892,
      0.025005949682867932,
      0.024555527386148843,
      0.024111766989184834,
      0.023674569975760146,
      0.023243839176696646,
      0.022819478968464913,
      0.022401395115219273,
      0.02198949468605747,
      0.021583686170217182,
      0.021183879455788073,
      0.0207899857584279,
      0.020401917556727638,
      0.020019588688406448,
      0.01964291424204408,
      0.01927181052336603,
      0.018906195026358055,
      0.018545986682753285,
      0.018191105487149986,
      0.01784147259048813,
      0.017497010372995277,
      0.017157642413626287,
      0.016823293234923806,
      0.016493888618130195,
      0.0161693554139866,
      0.01584962169498453,
      0.015534616384298768,
      0.015224269479961895,
      0.014918512130184514,
      0.01461727642700318,
      0.014320495509130468,
      0.014028103458784861,
      0.013740035374005128,
      0.013456227330542006,
      0.013176616271169434,
      0.012901140159042169,
      0.012629737874485339,
      0.01236234905793138,
      0.012098914280521521,
      0.011839375103422225,
      0.011583673975976323,
      0.011331754073440739,
      0.011083559506953108,
      0.010839035197917898,
      0.010598126988773993,
      0.010360781265096741,
      0.010126945438256738,
      0.009896567484235112,
      0.009669596261308974,
      0.009445981436736094,
      0.009225673365379128,
      0.009008623136920097,
      0.008794782561991428,
      0.008584104250196112,
      0.008376541309721723,
      0.008172047653252908,
      0.007970577937891023,
      0.007772087495414245,
      0.0075765321887164006,
      0.007383868645868168,
      0.007194054096317744,
      0.007007046451001638,
      0.0068228041498763275,
      0.006641286348832596,
      0.006462452746610337,
      0.006286263636676639,
      0.006112679833822759,
      0.005941662864201205,
      0.005773174756845377,
      0.005607178168283172,
      0.005443636185120297,
      0.005282512548036087,
      0.005123771547620584,
      0.004967377928806773,
      0.004813296898911101,
      0.004661494321768104,
      0.004511936519903154,
      0.004364590339902721,
      0.004219423003047582,
      0.004076402281930527,
      0.003935496412213872,
      0.003796674120668914,
      0.003659904604073036,
      0.0035251575419474775,
      0.0033924030411297953,
      0.0032616115438775096,
      0.00313275401722702,
      0.0030058019471396347,
      0.0028807271378782223,
      0.002757501893451126,
      0.0026360988133113513,
      0.0025164910096269174,
      0.0023986518362184408,
      0.002282555165666974,
      0.0021681751784551743,
      0.0020554864971384364,
      0.001944464194879521,
      0.0018350835829673816,
      0.0017273204447424246,
      0.0016211508451914349,
      0.0015165521689870915,
      0.0014135026757358207,
      0.0013119802950009665,
      0.0012119630296294872,
      0.0011134289964660263,
      0.001016356505939867,
      0.0009207240468129408,
      0.0008265104244918748,
      0.0007336946075839656,
      0.0006422559318160684,
      0.0005521740761212341,
      0.00046342894452599853,
      0.00037600074019662364,
      0.00028986988120591786,
      0.00020501713352387083,
      0.00012142345921518639,
      3.907026615743973e-05,
      -4.206088756587674e-05,
      -0.00012198817527420339,
      -0.00020072944595827348,
      -0.00027830217319025534,
      -0.0003547237847561102,
      -0.0004300113555475679,
      -0.0005041818085794313,
      -0.0005772516565883334,
      -0.0006492373025607073,
      -0.0007201547158079131,
      -0.0007900197683626453,
      -0.0008588480492438384,
      -0.0009266549445419545,
      -0.0009934556343367254,
      -0.0010592650124334267,
      -0.0011240978401277902,
      -0.0011879686323533853,
      -0.0012508917149270022,
      -0.0013128810833308092,
      -0.001373950565918761,
      -0.0014341138145351733,
      -0.001493384269090388,
      -0.0015517752167780053,
      -0.0016092995959698312,
      -0.0016659703906603898,
      -0.001721800236164344,
      -0.0017768016340673847,
      -0.0018309868675678784,
      -0.0018843680307685192,
      -0.0019369571081733982,
      -0.0019887658177893948,
      -0.002039805733751875,
      -0.0020900881979864687,
      -0.002139624472902235,
      -0.002188425766769947,
      -0.002236502851229829,
      -0.0022838665299662747
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566668609375755,
      10.336023980357197,
      10.097170493707202,
      9.853233889374714,
      9.60672608127809,
      9.359838927516709,
      9.11448435678624,
      8.87226282839729,
      8.63443150988656,
      8.401920785415241,
      8.175363913336653,
      7.955116632330273,
      7.741287391821115,
      7.533773988386921,
      7.332300229604131,
      7.136467228065625,
      6.945798502924341,
      6.7597769779859,
      6.577876282520277,
      6.399590302779326,
      6.224450357632329,
      6.052025235607419,
      5.8819390861273195,
      5.713888508268626,
      5.547644880933922,
      5.383056488323475,
      5.220049291874132,
      5.058631778744061,
      4.898879141374234,
      4.740925465858903,
      4.584976206725105,
      4.431299617647833,
      4.280232560045983,
      4.132160262173987,
      3.987484009302755,
      3.8466043738671885,
      3.70990767080186,
      3.5777579992648763,
      3.4504803837191167,
      3.3283502895655093,
      3.2115885080426505,
      3.1003584154914714,
      2.9947644228970693,
      2.8948412722487484,
      2.8005499292347014,
      2.711787557428436,
      2.628413114529194,
      2.550224961403363,
      2.4769810034053608,
      2.40843689252487,
      2.344336630566507,
      2.284387825767947,
      2.2282704688704347,
      2.175628542017459,
      2.126079121850695,
      2.0792589890742645,
      2.034836501501668,
      1.9925057764646201,
      1.9520023496426226,
      1.9131048622794924,
      1.8756384512138282,
      1.8394634951381519,
      1.8044640553038696,
      1.7705382337940518,
      1.737602081313285,
      1.7055874310565453,
      1.6744377441202358,
      1.6441052305590955,
      1.614548388281279,
      1.5857304655927955,
      1.5576184111289049,
      1.5301799147251656,
      1.5033840878749567,
      1.477203427875036,
      1.4516130484964838,
      1.4265901408292543,
      1.4021135888474412,
      1.3781642249622155,
      1.3547253469657081,
      1.33178120152102,
      1.309316350779848,
      1.2873157818074676,
      1.265764970441684,
      1.2446499140449772,
      1.2239571435194103,
      1.203673721477221,
      1.1837876854549276,
      1.1642891693176625,
      1.145168517610882,
      1.1264162560943813,
      1.1080237951336125,
      1.0899833081183012,
      1.072289006678562,
      1.054934485316296,
      1.0379125254981552,
      1.0212154785964473,
      1.0048355166037273,
      0.9887647940798306,
      0.9729955523281442,
      0.9575201838554533,
      0.9423312708879756,
      0.9274216071957194,
      0.9127842084756163,
      0.8984123158050807,
      0.8842993941124184,
      0.870439127746525,
      0.8568254145513708,
      0.843452358824072,
      0.8303142637766714,
      0.8174056239629331,
      0.8047211173082647,
      0.7922555975953124,
      0.7800040871832146,
      0.7679617698343322,
      0.7561239837211958,
      0.7444862149098548,
      0.7330440914073145,
      0.7217933774782281,
      0.7107299674467897,
      0.6998498804079853,
      0.6891492553379605,
      0.6786243462163468,
      0.6682715175100827,
      0.6580872392947991,
      0.6480680832979434,
      0.6382107133119149,
      0.6285118328956819,
      0.6189682240621771,
      0.6095767829285733,
      0.6003345074012529,
      0.5912384872964791,
      0.5822858976876122,
      0.5734739937096879,
      0.5648001052079253,
      0.5562616334565968,
      0.5478560478530187,
      0.5395808831365112,
      0.5314337370211201,
      0.5234122672402498,
      0.5155141895416345,
      0.5077372754518044,
      0.5000793503311651,
      0.49253829193553383,
      0.48511202840341666,
      0.4777985364428538,
      0.4705958187206032,
      0.46350153912350384,
      0.4565132644511291,
      0.4496291017223669,
      0.4428474756453266,
      0.43616677997691283,
      0.42958539843006704,
      0.4231017198285109,
      0.41671414737148177,
      0.41042110505204377,
      0.40422104141223525,
      0.3981124318534433,
      0.3920937795437022,
      0.3861636160272784,
      0.3803206064505929,
      0.3745639789014093,
      0.3688930010541741,
      0.3633067197710417,
      0.3578040460468505,
      0.3523838101635425,
      0.3470447986728601,
      0.34178597423478285,
      0.33660636838544944,
      0.33150468044065634,
      0.32647948837162527,
      0.32152945259954996,
      0.3166532954357903,
      0.3118497875797135,
      0.30711773914670887,
      0.30245603316816133,
      0.2978636761143603,
      0.29333967195319993,
      0.28888301352366397,
      0.2844927060069546,
      0.28016775303282204,
      0.2759071590338717,
      0.2717099350366203,
      0.2675751023584696,
      0.26350169454475664,
      0.2594887589680111,
      0.2555353990289715,
      0.2516410539652232,
      0.24780524112036056,
      0.2440273346043226,
      0.24030661849148455,
      0.23664232210291128,
      0.23303364319992942,
      0.2294797633632956,
      0.22597985826321862,
      0.22253310436103949,
      0.21913868345691687,
      0.21579578522833043,
      0.21250360937398638,
      0.2092613428944292,
      0.20606810148048033,
      0.20292302780011343,
      0.1998253112846325,
      0.1967741764606313,
      0.1937688752101516,
      0.19080868141515206,
      0.1878928874592775,
      0.18502080183631595,
      0.18219174732252752,
      0.1794050596311567,
      0.17666008663310082,
      0.17395618782453923,
      0.17129273375287302,
      0.1686691055212702,
      0.16608469450373087,
      0.1635389020160528,
      0.16103113931733773,
      0.1585608272295484,
      0.1561273958464496,
      0.153730284508028,
      0.15136894149430857,
      0.14904282392790258,
      0.14675139744612162,
      0.14449413637367198,
      0.14227052330270065,
      0.14008004898240917,
      0.13792221223175413,
      0.13579651971665282,
      0.13370248601085322,
      0.13163963317076263,
      0.12960749086723267,
      0.1276055960564594,
      0.12563349305496085,
      0.12369073309559887,
      0.12177687453507831,
      0.11989148263172775,
      0.11803412924284591,
      0.11620439299460011,
      0.11440185897708575,
      0.1126261187460276,
      0.11087677024383169,
      0.10915341751815288,
      0.10745567074697453,
      0.10578314608596347,
      0.10413546558034306,
      0.10251225714700644,
      0.10091315438523044,
      0.09933779649558935,
      0.09778582817257857,
      0.09625689955460277,
      0.09475066622380358,
      0.09326678885547748,
      0.09180493348934327,
      0.090364771176429,
      0.08894597803809554,
      0.08754823492865914,
      0.08617122770637427,
      0.08481464693639584,
      0.0834781879091073,
      0.08216155054483541,
      0.0808644393086359,
      0.07958656321390341,
      0.07832763556250374,
      0.07708737397994944,
      0.07586550040239899,
      0.07466174105040439,
      0.07347582620188213,
      0.0723074901639946,
      0.07115647135826308,
      0.07002251204845082,
      0.0689053583622678,
      0.0678047602728236,
      0.06672047160076544,
      0.06565224981394628,
      0.06459985607608593,
      0.06356305509556326,
      0.06254161498745006,
      0.061535307443843335,
      0.06054390760236413,
      0.059567194000607546,
      0.05860494847991744,
      0.05765695612642895,
      0.056723005192465654,
      0.05580288724610075,
      0.05489639682092884,
      0.05400333166219617,
      0.053123492434600954,
      0.052256682778444814,
      0.051402709347879806,
      0.05056138163497215,
      0.049732511963449716,
      0.048915915454805975,
      0.04811141005912621,
      0.047318816456659765,
      0.04653795791881672,
      0.04576866044281441,
      0.04501075252475341,
      0.0442640653110941,
      0.04352843237493106,
      0.04280368982351545,
      0.04208967615063712,
      0.0413862322320566,
      0.04069320143495581,
      0.040010429501606534,
      0.03933776426060839,
      0.03867505587428534,
      0.03802215684048522,
      0.037378921777227264,
      0.03674520741635454,
      0.03612087272899388,
      0.03550577866519986,
      0.03489978835626163,
      0.03430276699440588,
      0.0337145815360033,
      0.03313510121312181,
      0.03256419708686881,
      0.0320017419894289,
      0.031447610905529756,
      0.030901680478008797,
      0.030363829194184663,
      0.02983393743908942,
      0.029311887454652866,
      0.028797563000328995,
      0.028290849611503795,
      0.02779163458464682,
      0.027299806873927523,
      0.026815257140679158,
      0.02633787768840135,
      0.025867562264536396,
      0.02540420628717029,
      0.024947706766875473,
      0.02449796213294477,
      0.024054872408439742,
      0.02361833905446006,
      0.023188264966268628,
      0.022764554563852263,
      0.02234711364071262,
      0.021935849497601183,
      0.021530670512692675,
      0.021131486592603096,
      0.02073820909302293,
      0.020350750562196797,
      0.01996902489488267,
      0.019592947198483587,
      0.019222433874176284,
      0.018857402601059968,
      0.018497772210990256,
      0.01814346280316204,
      0.017794395583457304,
      0.017450492956891096,
      0.01711167847156221,
      0.016777876932345254,
      0.01644901416364595,
      0.016125016973015285,
      0.015805813322541475,
      0.015491332224307095,
      0.01518150388856821,
      0.014876259456420422,
      0.014575531092531959,
      0.014279252037185153,
      0.013987356370107167,
      0.013699779216222547,
      0.013416456663158247,
      0.01313732580964317,
      0.012862324582321978,
      0.012591391874196887,
      0.012324467508384325,
      0.012061492135704267,
      0.01180240743473981,
      0.011547155793784361,
      0.011295680421983078,
      0.01104792552762119,
      0.010803835984551383,
      0.010563357574073185,
      0.010326436982182705,
      0.010093021488475384,
      0.009863059204856833,
      0.009636499100882356,
      0.009413290816253734,
      0.009193384743155068,
      0.008976731990757285,
      0.008763284415869316,
      0.008552994612285127,
      0.00834581590922981,
      0.008141702232697898,
      0.007940608191895956,
      0.007742489085695257,
      0.007547300917965568,
      0.007355000383988284,
      0.007165544706804047,
      0.006978891876592958,
      0.006795000364933585,
      0.006613829305327178,
      0.006435338498159745,
      0.006259488291163447,
      0.006086239748218797,
      0.005915554191236156,
      0.0057473937225249044,
      0.005581721043985795,
      0.005418499291600501,
      0.0052576921592134805,
      0.00509926394590048,
      0.004943179555849077,
      0.004789404271624192,
      0.0046379039868426255,
      0.0044886449449236246,
      0.004341593969410382,
      0.00419671843538182,
      0.004053986147835104,
      0.003913365418807102,
      0.0037748250703070856,
      0.00363833426099966,
      0.0035038626513764315,
      0.0033713804373150733,
      0.003240858093164323,
      0.0031122666820919066,
      0.0029855777043257415,
      0.002860762921561905,
      0.0027377945897981266,
      0.0026166454457018646,
      0.002497288586866479,
      0.0023796974489734015,
      0.002263845917755355,
      0.002149708296505718,
      0.00203725927513053,
      0.00192647381167655,
      0.0018173271930655606,
      0.001709795237238622,
      0.0016038540515561051,
      0.0014994801810761284,
      0.0013966513939108224,
      0.0012953462889620483,
      0.0011955431939989609,
      0.0010972204242964327,
      0.0010003564261504723,
      0.0009049298835053101,
      0.0008109196595353912,
      0.0007183048852854712,
      0.0006270648906636238,
      0.0005371793012101779,
      0.0004486280601239065,
      0.00036139129211487745,
      0.00027544954329768764,
      0.00019078365422583521,
      0.00010737470357047065,
      2.5203984774490912e-05,
      -5.5746831932136466e-05,
      -0.00013549593716596274,
      -0.00021406113541515861,
      -0.00029145990237404613,
      -0.00036770961265674166,
      -0.000442827353404036,
      -0.0005168299914266964,
      -0.0005897340104440438,
      -0.0006615557029967947,
      -0.0007323111008740527,
      -0.000802016076138784,
      -0.0008706861999643148,
      -0.0009383368354504467,
      -0.0010049831408171467,
      -0.001070640052602071,
      -0.0011353221977835814,
      -0.0011990440468271112,
      -0.0012618198750972637,
      -0.0013236637869701378,
      -0.001384589567677735,
      -0.0014446108138542431,
      -0.0015037409741014184,
      -0.001561993312691649,
      -0.0016193809044322978,
      -0.0016759165462510784,
      -0.0017316128707106399,
      -0.0017864823449446872,
      -0.0018405372940640007,
      -0.00189378979044906,
      -0.001946251733270176,
      -0.001997934837619126,
      -0.0020488506678558566,
      -0.0020990105431362397,
      -0.002148425810947575,
      -0.0021971074333465485,
      -0.0022450662719004756,
      -0.002292313092250177
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56666615260899,
      10.336012390496576,
      10.097143683617826,
      9.853186981477622,
      9.606655186236065,
      9.359741419027204,
      9.11435862781399,
      8.872108241723092,
      8.634248342793544,
      8.401709643565166,
      8.175125505193044,
      7.954851667134759,
      7.740996505680052,
      7.533457573201966,
      7.33195831862826,
      7.136099778538536,
      6.945405404761507,
      6.759358186377324,
      6.577431840116841,
      6.399120391221067,
      6.223955317137374,
      6.051505678426305,
      5.881395793038476,
      5.713322477885633,
      5.547057389249526,
      5.382449071878259,
      5.219423772730753,
      5.057990297041963,
      4.8982240045040975,
      4.740259249365095,
      4.584301791418921,
      4.43062038194927,
      4.279552513270105,
      4.131483423806362,
      3.986814344564743,
      3.8459456899410416,
      3.7092636196824498,
      3.577132061805766,
      3.4498756452596164,
      3.3277693993486,
      3.211033652409872,
      3.0998313068458847,
      2.994266231261253,
      2.8943725711759813,
      2.8001106283501724,
      2.7113769455325394,
      2.628030072124739,
      2.5498677017773286,
      2.476647410315017,
      2.4081246995105774,
      2.344043474968649,
      2.28411119101253,
      2.2280077720652964,
      2.1753768378162954,
      2.125835543287631,
      2.079020840896676,
      2.0346013671126912,
      1.9922715595113598,
      1.951767419521884,
      1.91286801416277,
      1.8753988223885452,
      1.839220461758303,
      1.8042171724086844,
      1.7702871911658178,
      1.7373466890366953,
      1.7053275856464507,
      1.67417338483786,
      1.6438363381146959,
      1.6142749796683782,
      1.585452583598369,
      1.5573361223207967,
      1.529893322488673,
      1.5030932974867095,
      1.476908540674802,
      1.451314162621379,
      1.4262873513866836,
      1.401806988489502,
      1.377853937006011,
      1.3544115074598442,
      1.3314639294666009,
      1.3089957522125957,
      1.2869919538063257,
      1.2654380036376305,
      1.2443198940340632,
      1.2236241514825037,
      1.2033378358867606,
      1.1834490975409038,
      1.1639481241463974,
      1.1448252012026117,
      1.1260708375071729,
      1.1076764179332002,
      1.0896343228752183,
      1.0719387634432773,
      1.0545832321077924,
      1.037560441697479,
      1.020862697455276,
      1.0044821404558275,
      0.9884109045635782,
      0.9726412168555727,
      0.9571654602186619,
      0.9419762101623671,
      0.9270662563181029,
      0.9124286111788737,
      0.8980565133861191,
      0.8839434261872587,
      0.8700830326881981,
      0.8564692300196797,
      0.8430961215219575,
      0.8299580099089802,
      0.8170493893298117,
      0.8043649370848862,
      0.7918995062035418,
      0.7796481185099687,
      0.7676059572626567,
      0.7557683600761365,
      0.7441308128530881,
      0.7326889432135563,
      0.721438514752361,
      0.7103754211876603,
      0.6994956813180494,
      0.6887954337941824,
      0.6782709317754257,
      0.6679185389639076,
      0.6577347250476263,
      0.6477160615069503,
      0.6378592103159494,
      0.628160873462731,
      0.6186178335095179,
      0.6092269865659168,
      0.5999853302481777,
      0.5908899542763087,
      0.5819380333823735,
      0.5731268219301275,
      0.5644536495224513,
      0.5559159171030967,
      0.5475110937969021,
      0.5392367139444433,
      0.5310903744231832,
      0.5230697324217315,
      0.5151725031740579,
      0.5073964579205232,
      0.4997394216774537,
      0.4921992716658488,
      0.4847739355212012,
      0.47746138955034495,
      0.4702596570704818,
      0.4631664531520072,
      0.4561793688895599,
      0.4492965530331617,
      0.4425163827590136,
      0.43583721806387005,
      0.4292574199178557,
      0.42277536164748936,
      0.41638943628559144,
      0.41009806086359385,
      0.4038996792478058,
      0.3977927635391005,
      0.3917758145576158,
      0.3858473621858802,
      0.38000612266838174,
      0.3742513950735884,
      0.3685824011420366,
      0.36299815777525196,
      0.3574975562568789,
      0.35207941372011686,
      0.34674252313792076,
      0.34148586221094107,
      0.3363084434366156,
      0.331208952794042,
      0.32618596266497824,
      0.32123812972522575,
      0.31636417374608844,
      0.31156286359675434,
      0.30683300827468757,
      0.30217350357848094,
      0.2975833561372787,
      0.2930615643169266,
      0.28860711899329505,
      0.2842190228030053,
      0.2798962769383621,
      0.2756378843293697,
      0.2714428548928954,
      0.26731020907068026,
      0.26323897991377065,
      0.25922821437268084,
      0.25527702660821944,
      0.25138487117484287,
      0.24755125571528674,
      0.24377554774466503,
      0.24005702708080776,
      0.23639492019254765,
      0.23278842277100026,
      0.22923671502267032,
      0.22573897175466823,
      0.22229436879190922,
      0.21890208721557358,
      0.21556131659728697,
      0.2122712563780016,
      0.20903109022133098,
      0.20583993088390534,
      0.20269692318650195,
      0.19960125781375954,
      0.19655216024881705,
      0.19354888288291913,
      0.19059070000470965,
      0.18767690428957115,
      0.18480680423007986,
      0.18197972266403017,
      0.17919499542800071,
      0.1764519705014223,
      0.17375000737188792,
      0.17108847648596576,
      0.16846675907055134,
      0.1658842465106067,
      0.1633403401847393,
      0.1608344513136191,
      0.15836600053469205,
      0.15593441792082052,
      0.1535391427443305,
      0.15117962329090723,
      0.14885531677435213,
      0.1465656890276491,
      0.1443102141032324,
      0.14208837458314844,
      0.13989966124547826,
      0.13774357303395152,
      0.13561961662530964,
      0.13352730651503084,
      0.13146616481438184,
      0.12943572113381777,
      0.1274355124758665,
      0.12546508311895976,
      0.12352398444046876,
      0.12161177478697198,
      0.11972801939192118,
      0.11787229009775875,
      0.11604416564003808,
      0.11424323105630178,
      0.11246907791647608,
      0.11072130412902007,
      0.10899951378649624,
      0.10730331711402769,
      0.10563233042490576,
      0.10398617575937612,
      0.10236448098079642,
      0.10076687979602769,
      0.09919301137534538,
      0.09764252053142866,
      0.09611505754209086,
      0.09461027787048007,
      0.09312784227843325,
      0.09166741675422735,
      0.09022867245213595,
      0.08881128540126307,
      0.08741493662608307,
      0.08603931202970354,
      0.08468410222078535,
      0.08334900261823988,
      0.08203371313014121,
      0.0807379383100687,
      0.07946138711608698,
      0.0782037729496522,
      0.07696481346821712,
      0.07574423073457112,
      0.07454175096837952,
      0.07335710453841687,
      0.07219002581072076,
      0.07104025324340736,
      0.06990752918771842,
      0.0687915997253547,
      0.06769221499043773,
      0.06660912884733007,
      0.06554209879565326,
      0.0644908858819857,
      0.06345525491736098,
      0.062434974298000254,
      0.061429815728433854,
      0.06043955441105521,
      0.059463968972399646,
      0.05850284115059253,
      0.05755595609253136,
      0.05662310232289922,
      0.05570407132850938,
      0.05479865785694543,
      0.05390665962555688,
      0.053027877366680576,
      0.05216211473723311,
      0.051309178449504,
      0.0504688780572747,
      0.04964102593683839,
      0.04882543738701154,
      0.0480219303808066,
      0.04723032559723304,
      0.04645044640324173,
      0.04568211881701651,
      0.044925171433680286,
      0.04417943544672322,
      0.043444744510499726,
      0.042720934758607686,
      0.0420078447902537,
      0.04130531560241715,
      0.040613190632968955,
      0.03993131552039174,
      0.03925953826632777,
      0.038597709175175875,
      0.03794568065900457,
      0.037303307483510066,
      0.036670446500884135,
      0.036046956645679196,
      0.03543269911950005,
      0.034827536996186105,
      0.03423133550536177,
      0.033643961783445794,
      0.03306528505184782,
      0.03249517636754326,
      0.03193350865099044,
      0.03138015695010972,
      0.030834997997183655,
      0.030297910350767697,
      0.029768774424007,
      0.029247472424711818,
      0.028733888340317704,
      0.028227907840792373,
      0.027729418207220923,
      0.027238308489162887,
      0.02675446925535193,
      0.0262777928912305,
      0.02580817326059342,
      0.025345505920488055,
      0.024889687814307733,
      0.024440617473289097,
      0.02399819503275842,
      0.0235623219877049,
      0.023132901303756326,
      0.022709837412553103,
      0.02229303627676824,
      0.021882405098087473,
      0.021477852440897647,
      0.02107928826381679,
      0.020686624018826677,
      0.02029977222335418,
      0.01991864677308619,
      0.019543162928922254,
      0.019173237131558416,
      0.018808787164062292,
      0.01844973194403309,
      0.018095991517953814,
      0.017747487212197117,
      0.01740414144568688,
      0.017065877896601207,
      0.01673262127322013,
      0.016404297457918396,
      0.01608083344560409,
      0.015762157369189067,
      0.015448198243619038,
      0.01513888624092068,
      0.014834152511781032,
      0.014533929246568522,
      0.014238149651206263,
      0.013946747939693586,
      0.013659659311661927,
      0.013376819997111477,
      0.01309816707645888,
      0.01282363857727574,
      0.012553173504771331,
      0.012286711717113697,
      0.012024193848690431,
      0.011765561567071052,
      0.011510757305884559,
      0.011259724370008405,
      0.011012406923063834,
      0.010768750003798677,
      0.010528699367562087,
      0.010292201712747152,
      0.010059204490485772,
      0.009829655895932961,
      0.009603504804881034,
      0.0093807009039785,
      0.009161194690609982,
      0.00894493728489005,
      0.008731880708790255,
      0.008521977570525249,
      0.008315181139490228,
      0.008111445493750806,
      0.007910725276052463,
      0.007712975783210062,
      0.007518153096040162,
      0.007326213894075212,
      0.007137115508462159,
      0.006950815843421542,
      0.006767273548256785,
      0.006586447861394197,
      0.0064082984950909255,
      0.006232785737909612,
      0.006059870674433395,
      0.005889514905141255,
      0.005721680433854562,
      0.005556330008693713,
      0.005393426892881542,
      0.0052329347841916125,
      0.005074818035264832,
      0.004919041475324888,
      0.00476557045677721,
      0.004614370928982775,
      0.004465409209309657,
      0.004318652073483364,
      0.004174067064270611,
      0.004031621988548791,
      0.003891285198076618,
      0.003753025490907062,
      0.00361681210961246,
      0.0034826147478853576,
      0.003350403514220995,
      0.003220149018102386,
      0.0030918222928097735,
      0.0029653948596970034,
      0.0028408385145183824,
      0.002718125637317336,
      0.0025972290452235987,
      0.0024781218287159234,
      0.002360777379375454,
      0.0022451696418079414,
      0.002131272941310058,
      0.0020190619149501763,
      0.0019085116344676795,
      0.0017995975150069264,
      0.001692295390240082,
      0.0015865813603106254,
      0.0014824319651900852,
      0.0013798241433281692,
      0.0012787360697565598,
      0.0011791465998785714,
      0.0010810344613001654,
      0.0009843782784773277,
      0.0008891568006518185,
      0.0007953489708376689,
      0.0007029339831664315,
      0.0006118913284792153,
      0.0005222006691866355,
      0.0004338420203791957,
      0.00034679562035541846,
      0.0002610420566552766,
      0.00017656208161646934,
      9.333684234375367e-05,
      1.1347710970886248e-05,
      -6.942369272508079e-05,
      -0.0001489954528035925,
      -0.00022738542821018978,
      -0.0003046111764441733,
      -0.00038068990802591794,
      -0.00045563869401528265,
      -0.0005294743422507537,
      -0.0006022133232498043,
      -0.0006738719623174042,
      -0.0007444663125816644,
      -0.0008140122436307685,
      -0.0008825252046957235,
      -0.0009500206098889554,
      -0.0010165135168247862,
      -0.001082018819505061,
      -0.0011465512304213333,
      -0.0012101251919399794,
      -0.0012727548568107208,
      -0.001334454277176092,
      -0.001395237319878488,
      -0.0014551175490906847,
      -0.0015141085403526538,
      -0.0015722233613574299,
      -0.001629475056087611,
      -0.0016858764158061705,
      -0.001741440156570284,
      -0.0017961786129616598,
      -0.0018501040728366176,
      -0.001903228577385793,
      -0.0019555641020699587,
      -0.002007122336388449,
      -0.002057914787013676,
      -0.0021079528166691812,
      -0.002157247695183274,
      -0.002205810408168638,
      -0.0022536519102003137,
      -0.0023007828369258575
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566663707438906,
      10.336000855030239,
      10.097116996875203,
      9.853140292244584,
      9.606584625370038,
      9.359644377400253,
      9.114233513704088,
      8.871954427690376,
      8.634066113405547,
      8.401499607068663,
      8.174888372861034,
      7.954588148684044,
      7.740707240287692,
      7.533142952872541,
      7.331618374405675,
      7.135734460287855,
      6.945014597508688,
      6.758941844086901,
      6.576990008034002,
      6.398653253146941,
      6.223463214414439,
      6.050989227263756,
      5.880855776422019,
      5.712759896151845,
      5.546473518520872,
      5.381845446918351,
      5.218802213269902,
      5.05735293751781,
      4.897573147263746,
      4.739597463282642,
      4.583631946277427,
      4.429945841689988,
      4.278877268145627,
      4.1308114727004,
      3.9861496311715316,
      3.845291998692929,
      3.708624580022546,
      3.576511132908907,
      3.4492758913591164,
      3.3271934487723653,
      3.2104836728294406,
      3.099308992707032,
      2.993772737329688,
      2.893908458753298,
      2.799675798207884,
      2.710970679008142,
      2.627651183797476,
      2.5495144062704025,
      2.476317601107495,
      2.4078161198532246,
      2.3437537704319205,
      2.2838378542265914,
      2.227748230429176,
      2.175128159025285,
      2.1255948750290337,
      2.0787855010571823,
      2.034368926439529,
      1.9920399416674488,
      1.951535009978975,
      1.9126336207420633,
      1.8751615912722133,
      1.8389797764391562,
      1.8039725935748023,
      1.7700384135490355,
      1.7370935264660523,
      1.7050699359866208,
      1.6739111959010933,
      1.6435695896137614,
      1.6140036888709506,
      1.5851767936048593,
      1.5570559001417654,
      1.5296087722228384,
      1.502804525282416,
      1.4766156479253842,
      1.4510172471982592,
      1.4259865090232569,
      1.4015023125837591,
      1.3775455515796173,
      1.3540995492167585,
      1.3311485175998294,
      1.3086769935466802,
      1.2866699465450864,
      1.2651128387477244,
      1.243991656956736,
      1.223292924171445,
      1.2030036972370752,
      1.1831122701923276,
      1.1636088427410802,
      1.1444836447227347,
      1.1257271705271108,
      1.1073307812140198,
      1.0892870651405397,
      1.0715902331862053,
      1.0542336765307905,
      1.0372100394389687,
      1.0205115811434675,
      1.0041304116090306,
      0.9880586445704205,
      0.9722884933879392,
      0.956812331224133,
      0.9416227271708917,
      0.9267124662033612,
      0.9120745579029608,
      0.8977022387135796,
      0.883588970183434,
      0.8697284340027825,
      0.8561145262606424,
      0.8427413497722458,
      0.8296032063692881,
      0.8166945895111714,
      0.8040101760931899,
      0.7915448189650307,
      0.7792935392249345,
      0.7672515195115261,
      0.7554140972215138,
      0.743776757390455,
      0.7323351273082537,
      0.7210849700557787,
      0.7100221790017128,
      0.6991427723945216,
      0.6884428881513441,
      0.6779187791668869,
      0.6675668088059669,
      0.6573834462370719,
      0.6473652624339368,
      0.6375089179283757,
      0.6278111127001054,
      0.6182686295748547,
      0.6088783647235392,
      0.5996373155139353,
      0.5905425713557579,
      0.5815913067801382,
      0.5727807757982838,
      0.5641083075789485,
      0.5555713027209758,
      0.547167229883426,
      0.5388936229413653,
      0.5307480782995316,
      0.5227282527369216,
      0.514831860828871,
      0.5070566732068463,
      0.4994005146264921,
      0.4918612617035038,
      0.48443684157524375,
      0.47712523004946467,
      0.46992445011548284,
      0.46283227873370475,
      0.4558463557830194,
      0.44896486720664563,
      0.44218613684534985,
      0.43550848931594754,
      0.4289302622252523,
      0.42244981316854313,
      0.4160655243745919,
      0.4097758059130842,
      0.4035790966712195,
      0.3974738651462765,
      0.3914586099902778,
      0.3855318595019667,
      0.37969241643260937,
      0.3739396021385481,
      0.3682725972288168,
      0.36269039159875,
      0.35719185835637796,
      0.35177580277905884,
      0.3464410249719929,
      0.34118651816400486,
      0.3360112765514991,
      0.33091397290136804,
      0.32589317412824254,
      0.32094753323338904,
      0.31607576745376514,
      0.31127664408699734,
      0.3065489708901034,
      0.3018916562674235,
      0.2973037073788708,
      0.2927841168130839,
      0.28833187333286137,
      0.28394597724835186,
      0.2796254274177438,
      0.27536922505412925,
      0.2711763789788764,
      0.26704590886082646,
      0.2629768472066805,
      0.25896824051988093,
      0.2550192138359433,
      0.2511292368741102,
      0.24729780760178932,
      0.24352428723150218,
      0.2398079512356654,
      0.23614802297759646,
      0.23254369616739265,
      0.22899414962461626,
      0.22549855721691464,
      0.22205609420855366,
      0.218665941367902,
      0.21532728780507213,
      0.21203933266569547,
      0.20880125457124724,
      0.20561216578169864,
      0.2024712129101188,
      0.1993775879051011,
      0.19633051696341636,
      0.19332925299771037,
      0.19037307072843643,
      0.18746126307233082,
      0.1845931387635544,
      0.1817680205888739,
      0.17898524438399782,
      0.17624415816393862,
      0.1735441213987566,
      0.17088450465419555,
      0.1682646889738294,
      0.16568406568169222,
      0.16314203622323845,
      0.16063801178423506,
      0.15817141314475283,
      0.1557416703350926,
      0.153348222589896,
      0.1509905182124639,
      0.14866801418966483,
      0.14638017629518055,
      0.1441264788419145,
      0.14190640433714619,
      0.13971944359368021,
      0.13756509557192934,
      0.13544286699775981,
      0.13335227214887865,
      0.13129283322971094,
      0.12926407983464377,
      0.12726554902543777,
      0.12529678515083084,
      0.12335733956786786,
      0.12144677060104683,
      0.11956464346534418,
      0.11771053017928575,
      0.11588400939776632,
      0.1140846662401354,
      0.11231209231694006,
      0.110565885606052,
      0.10884565014545437,
      0.10715099617225854,
      0.10548153996998502,
      0.10383690364667111,
      0.102216715059659,
      0.10062060795631789,
      0.0990482216704073,
      0.0974992010025183,
      0.0959731960806792,
      0.09446986252526529,
      0.09298886118720359,
      0.09152985813973437,
      0.09009252455439186,
      0.08867653647977662,
      0.08728157498749647,
      0.08590732604885039,
      0.0845534803401401,
      0.08321973320065484,
      0.08190578475992805,
      0.08061133946495112,
      0.07933610635397612,
      0.07807979889499607,
      0.07684213495781368,
      0.07562283645182863,
      0.07442162967824477,
      0.07323824511545979,
      0.07207241725509592,
      0.07092388454126772,
      0.06979238925737734,
      0.06867767761445621,
      0.06757949994601666,
      0.06649761008792411,
      0.06543176552801014,
      0.06438172750537999,
      0.06334726090087586,
      0.062328134045551625,
      0.06132411874515415,
      0.06033499016195007,
      0.05936052699516029,
      0.05840051123522261,
      0.05745472802613992,
      0.056522965825615175,
      0.05560501623064058,
      0.054700673951927806,
      0.053809736837827485,
      0.052932005818050534,
      0.05206728455649467,
      0.051215379830100084,
      0.05037610127379451,
      0.04954926132359993,
      0.04873467536466309,
      0.0479321613749493,
      0.04714154010654995,
      0.04636263503616699,
      0.045595272157095,
      0.04483928009541145,
      0.04409449021109854,
      0.043360736251393917,
      0.042637854385290955,
      0.04192568325687938,
      0.04122406401609473,
      0.040532840111244924,
      0.03985185731287146,
      0.03918096359990205,
      0.03852000925821682,
      0.03786884695595314,
      0.03722733143027028,
      0.03659531952917164,
      0.03597267033410476,
      0.03535924494459784,
      0.03475490661428149,
      0.03415952065657301,
      0.0335729543104013,
      0.03299507668985545,
      0.032425759097484595,
      0.03186487462023003,
      0.03131229821314644,
      0.03076790659914549,
      0.030231578512828775,
      0.029703194462083346,
      0.029182636694047363,
      0.02866978921847781,
      0.028164537704383572,
      0.02766676954211604,
      0.02717637380399507,
      0.026693241160378346,
      0.02621726404402634,
      0.025748336496456647,
      0.025286354059112115,
      0.024831213746356873,
      0.024382814170697424,
      0.02394105551488849,
      0.023505839249761556,
      0.023077068480060477,
      0.022654647743377155,
      0.02223848287837893,
      0.021828481222236133,
      0.021424551454700853,
      0.021026603677914674,
      0.02063454923616032,
      0.020248300869608007,
      0.019867772538116554,
      0.0194928793958429,
      0.019123538031645695,
      0.018759666154795636,
      0.018401182749841597,
      0.018048008007379397,
      0.017700063348532042,
      0.017357271205918234,
      0.017019555317884984,
      0.016686840537776984,
      0.01635905274287975,
      0.01603611898303495,
      0.01571796728352314,
      0.015404526904000258,
      0.015095728029073005,
      0.014791501831884782,
      0.014491780668793017,
      0.014196497699556054,
      0.013905587210609291,
      0.013618984503523503,
      0.013336625762318297,
      0.013058448178648782,
      0.01278438976253136,
      0.012514389551172476,
      0.012248387427037289,
      0.011986324174564694,
      0.01172814150890403,
      0.011473781929805929,
      0.011223188757262307,
      0.010976306246106123,
      0.010733079399144425,
      0.010493454031403882,
      0.01025737686281575,
      0.010024795398346336,
      0.009795657900172654,
      0.009569913388224386,
      0.009347511643892172,
      0.009128403095456964,
      0.00891253898639926,
      0.00869987123490406,
      0.008490352569621214,
      0.008283936197807639,
      0.008080576220050751,
      0.007880227462403598,
      0.007682845318540081,
      0.007488385835410262,
      0.007296805725242376,
      0.007108062424668985,
      0.006922113902312662,
      0.006738918716469358,
      0.006558436056033219,
      0.006380625777501686,
      0.0062054484191954975,
      0.006032864963803259,
      0.005862836837738286,
      0.005695326262459522,
      0.005530296042479121,
      0.005367709464059437,
      0.00520753029708899,
      0.005049722990485612,
      0.004894252341464522,
      0.0047410838156017494,
      0.004590183252120989,
      0.004441517060647299,
      0.004295052197472006,
      0.004150756061376486,
      0.004008596460994018,
      0.003868541755675207,
      0.0037305609158492046,
      0.0035946232037946434,
      0.0034606983330969982,
      0.003328756476967702,
      0.003198768271929425,
      0.0030707047979894107,
      0.002944537611642834,
      0.0028202385071042072,
      0.0026977797673915253,
      0.002577134272275241,
      0.002458275131046961,
      0.002341175977822554,
      0.002225810727798411,
      0.0021121536404434932,
      0.002000179428434278,
      0.0018898632090707166,
      0.0017811804258839464,
      0.0016741068984099463,
      0.0015686187654927579,
      0.00146469267785193,
      0.0013623054074140082,
      0.0012614342523014617,
      0.0011620578063883831,
      0.0010641551755254611,
      0.0009677055013725365,
      0.000872687771298573,
      0.0007790810157902142,
      0.0006868645950303866,
      0.000596018155982663,
      0.0005065213235120716,
      0.0004183542311845636,
      0.00033149710602883175,
      0.00024593052174033675,
      0.00016163529680161522,
      7.859257847913575e-05,
      -3.2162697145081648e-06,
      -8.380953085159147e-05,
      -0.0001632052575883236,
      -0.0002414212538381517,
      -0.0003184750683198405,
      -0.0003943839807628065,
      -0.00046916502530976005,
      -0.0005428348855368385,
      -0.0006154100872860289,
      -0.0006869068916611806,
      -0.0007573413652455076,
      -0.0008267292652306659,
      -0.0008950861709622583,
      -0.0009624273672106072,
      -0.0010287679233010679,
      -0.0010941226630285681,
      -0.0011585063249049006,
      -0.0012219332761768545,
      -0.001284417703010491,
      -0.0013459736727122879,
      -0.001406614845008769,
      -0.0014663549904476777,
      -0.0015252074971745496,
      -0.0015831855762581018,
      -0.0016403022309455619,
      -0.0016965701675324834,
      -0.0017520019599999367,
      -0.001806610086540959,
      -0.0018604067939936443,
      -0.001913404158722986,
      -0.0019656140640985417,
      -0.0020170482090245247,
      -0.0020677181219018797,
      -0.002117635110569571,
      -0.0021668103766940804,
      -0.002215254932403928,
      -0.002262979548300253,
      -0.0023099950819286024
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56666126999994,
      10.335989359624229,
      10.097090397473647,
      9.85309374936251,
      9.606514278625035,
      9.359547622053991,
      9.114108759841086,
      8.871801051395073,
      8.633884401612725,
      8.401290171527066,
      8.174651925619251,
      7.954325400704361,
      7.7404188288374725,
      7.532829270476957,
      7.331279452679565,
      7.135370238980623,
      6.944624963221508,
      6.7585267491854095,
      6.576549498518419,
      6.398187515192645,
      6.222972591254519,
      6.05047433586139,
      5.88031740177509,
      5.712199039717253,
      5.545891455803558,
      5.3812437119492795,
      5.218182622630651,
      5.056717622660988,
      4.896924407201162,
      4.738937861793176,
      4.582964347551567,
      4.42927360243799,
      4.278204368349734,
      4.130141899437651,
      3.98548731544063,
      3.844640712963346,
      3.707987941736417,
      3.5758925882678225,
      3.448678491883081,
      3.3266198115799495,
      3.209935954079385,
      3.0987888779901205,
      2.9932813735711554,
      2.893446400230804,
      2.7992429412917827,
      2.7105663037032115,
      2.6272739428457994,
      2.5491623918017945,
      2.475988756915133,
      2.407508233890244,
      2.343464528959997,
      2.2835647878397682,
      2.227488803782442,
      2.1748794751030633,
      2.1253541128306717,
      2.0785500055094794,
      2.034136290453646,
      1.9918081083703516,
      1.9513023797687894,
      1.912399011558099,
      1.8749241570568225,
      1.8387389060789332,
      1.8037278505031529,
      1.769789493740904,
      1.7368402436741595,
      1.7048121896352881,
      1.6736489361385762,
      1.6433027955066901,
      1.6137323766590932,
      1.584901005392098,
      1.556775695621537,
      1.529324250202246,
      1.50251579449639,
      1.476322812097067,
      1.4507204058180774,
      1.4256857584827025,
      1.4011977463886751,
      1.3772372935164714,
      1.3537877359231871,
      1.33083326801846,
      1.308358413816625,
      1.286348133344909,
      1.2647878823586642,
      1.2436636427219698,
      1.222961933416548,
      1.2026698082603253,
      1.182775705374153,
      1.1632698363962692,
      1.144142375694041,
      1.1253838026252216,
      1.106985454626047,
      1.0889401282067763,
      1.0712420338010225,
      1.0538844609810143,
      1.0368599860969725,
      1.020160822715902,
      1.0037790501911938,
      0.9877067610508241,
      0.9719361543700654,
      0.956459594187075,
      0.9412696432665457,
      0.9263590821188981,
      0.9117209170458517,
      0.8973483822804836,
      0.883234937911706,
      0.8693742643513861,
      0.8557602565804222,
      0.8423870165676085,
      0.8292488458042349,
      0.8163402371944618,
      0.8036558668545329,
      0.7911905870794302,
      0.7789394186786874,
      0.7668975437767297,
      0.7550602991232384,
      0.7434231696262783,
      0.7319817818662396,
      0.7207318986152627,
      0.7096694126896751,
      0.6987903416103216,
      0.6880908228399221,
      0.6775671088547587,
      0.6672155626544467,
      0.6570326527574044,
      0.6470149495498116,
      0.6371591122673084,
      0.6274618390007393,
      0.6179199126776339,
      0.6085302298761424,
      0.5992897879340441,
      0.5901956759403069,
      0.5812450680622959,
      0.57243521797426,
      0.5637634543746793,
      0.5552271774305729,
      0.5468238552481507,
      0.5385510211483022,
      0.5304062711010677,
      0.5223872613342927,
      0.51449170608002,
      0.5067173754210467,
      0.499062093556121,
      0.491523736834436,
      0.48410023175027417,
      0.4767895538232525,
      0.4695897253914831,
      0.46249858546482664,
      0.4555138526962522,
      0.4486337090457453,
      0.44185642914553025,
      0.4351803047987789,
      0.4286036513999749,
      0.4221248118754928,
      0.4157421586277475,
      0.40945409484720147,
      0.40325905492619046,
      0.39715550439265307,
      0.39114193960075305,
      0.38521688731257675,
      0.37937924902449394,
      0.37362835151666857,
      0.3679633359708891,
      0.36238316625225314,
      0.3568866982357585,
      0.3514727256063829,
      0.3461400560012227,
      0.3408876982825422,
      0.33571462830853743,
      0.33061950601485435,
      0.32560089297452455,
      0.32065743847431266,
      0.3157878572529323,
      0.31099091495815295,
      0.3062654180528371,
      0.3016102877853824,
      0.29702453147413843,
      0.29250713628248504,
      0.28805708884310477,
      0.2836733871101381,
      0.27935502752707514,
      0.27510100977661045,
      0.27091034142780773,
      0.26678204133415945,
      0.2627151415551739,
      0.2587086882445965,
      0.2547618171177364,
      0.2508740131305214,
      0.2470447645068639,
      0.24327342596080137,
      0.23955926871538966,
      0.23590151325082126,
      0.23229935123891673,
      0.2287519601441668,
      0.22525851293920332,
      0.22181818416877644,
      0.21843015414236858,
      0.21509361171752336,
      0.2118077559151366,
      0.20857176006599615,
      0.20538473591351022,
      0.20224583200786428,
      0.19915424154117795,
      0.1961091914926765,
      0.1931099353018881,
      0.1901557479742553,
      0.18724592258421172,
      0.18437976795975797,
      0.1815566070059065,
      0.17877577567511932,
      0.1760366220468711,
      0.1733385055514291,
      0.17068079664168162,
      0.1680628764667649,
      0.16548413641964282,
      0.16294397786338077,
      0.16044181191439813,
      0.15797705927639413,
      0.15554915002273242,
      0.1531575234990653,
      0.15080162793313434,
      0.14848092026520315,
      0.14619486632045386,
      0.14394294045302009,
      0.14172462513076045,
      0.13953941112865909,
      0.13738679726832256,
      0.13526629035292909,
      0.13317740486448698,
      0.1311196629319713,
      0.12909259422033076,
      0.12709573573372238,
      0.1251286317176886,
      0.1231908335768106,
      0.12128189968717469,
      0.11940139530697057,
      0.11754889253377603,
      0.11572396996540191,
      0.11392621281389187,
      0.11215521269076438,
      0.11041056744448198,
      0.10869188127259351,
      0.10699876439629949,
      0.1053308331432354,
      0.10368770962355942,
      0.10206902183894703,
      0.10047440352485307,
      0.09890349401198628,
      0.097355938125587,
      0.09583138616026751,
      0.09432949378484223,
      0.09284992184403859,
      0.09139233636281117,
      0.08995640849187302,
      0.08854181438825466,
      0.08714823527847182,
      0.08577535709108967,
      0.08442287053188914,
      0.08309047107992072,
      0.08177785881330646,
      0.08048473827619884,
      0.07921081860337814,
      0.07795581328935836,
      0.07671944010904011,
      0.07550142119435137,
      0.07430148289084403,
      0.07311935569273809,
      0.07195477406292665,
      0.07080747652491548,
      0.069677205454077,
      0.06856370728102833,
      0.06746673215935786,
      0.06638603404428695,
      0.06532137055644649,
      0.06427250293211084,
      0.0632391960567668,
      0.06222121832432784,
      0.06121834164289346,
      0.06023034143142884,
      0.0592569962378232,
      0.058298088221410596,
      0.05735340254151716,
      0.05642272772776609,
      0.055505855521892355,
      0.0546025806201749,
      0.05371270084399399,
      0.05283601708299772,
      0.05197233327246044,
      0.05112145621948212,
      0.05028319560261256,
      0.049457363969289014,
      0.04864377669320648,
      0.047842251773651236,
      0.04705261014467487,
      0.046274675221692645,
      0.04550827319275903,
      0.04475323284619435,
      0.04400938538270002,
      0.04327656469482948,
      0.04255460700743527,
      0.041843351026679486,
      0.041142637961542744,
      0.040452311281541295,
      0.039772216870982716,
      0.03910220278521526,
      0.03844211949892611,
      0.037791819616372783,
      0.03715115788562888,
      0.03651999136737753,
      0.035898179110097406,
      0.03528558236072634,
      0.034682064427670606,
      0.03408749053565477,
      0.03350172807621167,
      0.03292464637014758,
      0.032356116701654954,
      0.03179601213370946,
      0.031244207661617725,
      0.030700580195729122,
      0.03016500848136913,
      0.02963737307691912,
      0.029117556351687873,
      0.028605442229852406,
      0.028100916544852222,
      0.027603866745646882,
      0.027114182004082197,
      0.02663175307409602,
      0.026156472386335852,
      0.02568823399008283,
      0.025226933501411503,
      0.02477246807030703,
      0.024324736379134307,
      0.023883638545023185,
      0.023449076155569886,
      0.023020952475183765,
      0.022599171913714345,
      0.0221836404349615,
      0.021774265538299635,
      0.02137095594440273,
      0.020973621732484255,
      0.020582174325126587,
      0.02019652644536421,
      0.019816592226615276,
      0.019442286939971142,
      0.019073527190184132,
      0.01871023080534226,
      0.018352316794928488,
      0.017999705344183187,
      0.017652317914941148,
      0.017310077109595562,
      0.01697290659677603,
      0.01664073125774924,
      0.01631347712077525,
      0.01599107128129772,
      0.015673441749576453,
      0.015360517824005462,
      0.01505222977552995,
      0.014748508879858721,
      0.014449287459708592,
      0.014154498791115367,
      0.013864077204681878,
      0.01357795799941448,
      0.013296077564857558,
      0.013018373054916018,
      0.012744782555178929,
      0.012475244986199676,
      0.012209700430386711,
      0.011948089718577398,
      0.011690354541792436,
      0.01143643761050579,
      0.011186282270790692,
      0.010939832759242329,
      0.010697034156020519,
      0.010457832379374159,
      0.01022217418982465,
      0.009990007038424278,
      0.009761279172341791,
      0.009535939609998422,
      0.009313938170067516,
      0.009095225465344567,
      0.0088797527408878,
      0.008667472019924127,
      0.008458336036406116,
      0.008252298055855796,
      0.008049312251813446,
      0.007849333411567827,
      0.007652316987727649,
      0.007458219152488972,
      0.0072669966127818135,
      0.0070786067839656314,
      0.0068930077373405155,
      0.006710158067161218,
      0.006530017046436762,
      0.0063525445051324,
      0.006177700997022673,
      0.006005447517635354,
      0.005835745720180099,
      0.005668557841270898,
      0.0055038466107489685,
      0.005341575301568856,
      0.005181707744574693,
      0.005024208403262441,
      0.004869042215196905,
      0.0047161745752636874,
      0.004565571556094985,
      0.00441719952671496,
      0.004271025396069173,
      0.0041270165402058,
      0.0039851409095243125,
      0.0038453669540725226,
      0.0037076635632507507,
      0.003572000064526039,
      0.0034383462046226393,
      0.0033066722219820877,
      0.0031769487933881063,
      0.003049146976034307,
      0.002923238310248147,
      0.0027991947776991395,
      0.0026769888188293003,
      0.002556593135359816,
      0.0024379808886193567,
      0.0023211256958984186,
      0.002206001577873517,
      0.0020925828628804537,
      0.0019808441815414137,
      0.0018707606981586,
      0.0017623079301985083,
      0.0016554618305297485,
      0.001550198432171568,
      0.0014464943267021425,
      0.0013443264196044329,
      0.001243672049710195,
      0.0011445088809404439,
      0.001046815876974058,
      0.0009505724744147226,
      0.0008557579805650609,
      0.0007623518102608279,
      0.0006703333413700322,
      0.0005796823111673284,
      0.0004903784692709855,
      0.00040240192441156096,
      0.00031573306011728177,
      0.00023035243213403658,
      0.000146240902078886,
      6.337963227823905e-05,
      -1.8249899290048998e-05,
      -9.866597149047233e-05,
      -0.00017788662194115917,
      -0.00025592965417609167,
      -0.00033281256764664826,
      -0.000408552581793137,
      -0.00048316667832593876,
      -0.0005566716104974481,
      -0.0006290838863621726,
      -0.0007004197126093121,
      -0.0007706950772199482,
      -0.0008399257297132515,
      -0.0009081272874114763,
      -0.0009753149786069638,
      -0.0010415038550954845,
      -0.0011067088259330202,
      -0.0011709444422611363,
      -0.0012342251772121877,
      -0.0012965652217163655,
      -0.0013579785405149723,
      -0.0014184789331942698,
      -0.0014780799354923216,
      -0.0015367950445246401,
      -0.0015946373389700505,
      -0.0016516197533233811,
      -0.0017077550649410814,
      -0.0017630559377218395,
      -0.0018175347238005115,
      -0.0018712036775226375,
      -0.0019240748190153805,
      -0.0019761600195276866,
      -0.00202747086990535,
      -0.0020780188789469634,
      -0.002127815416610829,
      -0.0021768717904700834,
      -0.00222519894672381,
      -0.0022728077166502157,
      -0.0023197087510437916
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566658842530051,
      10.33597791058184,
      10.097063899326493,
      9.853047377465401,
      9.606444189261456,
      9.359451222502324,
      9.113984467330214,
      8.871648247018001,
      8.63370337468611,
      8.401081533439502,
      8.174416388291762,
      7.954063675717869,
      7.740131554940939,
      7.532516839348057,
      7.33094189598177,
      7.135007476082818,
      6.944236870574733,
      6.758113274690445,
      6.576110694631797,
      6.3977235723074015,
      6.2224838577108335,
      6.049961433725329,
      5.879781119028049,
      5.71164037912853,
      5.545311694616307,
      5.380644383711305,
      5.217565544001096,
      5.05608492271581,
      4.8962783808272246,
      4.738281068897226,
      4.582299646978836,
      4.428604341384021,
      4.277534514544315,
      4.1294754278914585,
      3.9848281432853465,
      3.8439925972215923,
      3.707354483516829,
      3.5752772176037264,
      3.448084245477751,
      3.326049291846664,
      3.2093913038854383,
      3.098271770505309,
      2.9927929453269755,
      2.8929871968348855,
      2.7988128534509147,
      2.710164608119184,
      2.6268992736967665,
      2.5488128309756704,
      2.4756622548735305,
      2.407202584776057,
      2.343177423507557,
      2.283293763053729,
      2.2272313323266815,
      2.174632669376235,
      2.125115161277962,
      2.0783162627963154,
      2.033905360704077,
      1.9915779431493597,
      1.9510713861682984,
      1.9121660139627217,
      1.8746883138768333,
      1.8384996096135495,
      1.8034846671126272,
      1.7695421205062718,
      1.736588496318531,
      1.704555968119872,
      1.6733881907245831,
      1.6430375061633788,
      1.6134625608537414,
      1.5846267059606323,
      1.5564969728441072,
      1.529041203677866,
      1.502228533392536,
      1.4760314403069918,
      1.4504250232439282,
      1.4253864615036478,
      1.4008946285277086,
      1.376930478500652,
      1.3534773601992705,
      1.3305194506096925,
      1.3080412613118062,
      1.286027743136294,
      1.2644643447361035,
      1.2433370431422024,
      1.2226323536240997,
      1.2023373267155926,
      1.1824405442580521,
      1.1629322301717098,
      1.1438025028832688,
      1.125041827009651,
      1.1066415163468735,
      1.0885945753353967,
      1.0708952140426444,
      1.0535366206634649,
      1.0365113031490494,
      1.0198114293710796,
      1.00342904813991,
      0.987356231147103,
      0.9715851636016581,
      0.9561082001221419,
      0.9409178971030048,
      0.9260070301884082,
      0.9113686027082157,
      0.8969958466341753,
      0.8828822204919513,
      0.8690214036644578,
      0.8554072903229912,
      0.8420339816326874,
      0.8288957785829889,
      0.8159871731566942,
      0.8033028410861426,
      0.7908376339455846,
      0.7785865719362263,
      0.7665448367277624,
      0.754707764633224,
      0.7430708401330244,
      0.7316296894826201,
      0.7203800744857669,
      0.7093178875838222,
      0.6984391463298242,
      0.6877399874991382,
      0.6772166629926044,
      0.6668655351338278,
      0.6566830720123674,
      0.646665843595769,
      0.6368105075335726,
      0.6271137603212518,
      0.617572385280759,
      0.6081832789779746,
      0.5989434385035667,
      0.5898499527377681,
      0.5808999955185545,
      0.5720908200630154,
      0.5634197548344375,
      0.5548841993695065,
      0.5464816212756702,
      0.5382095535764004,
      0.5300655916813518,
      0.5220473913192696,
      0.5141526662774781,
      0.5063791862168415,
      0.4987247747270479,
      0.49118730771102365,
      0.48376471134802124,
      0.4764549605101301,
      0.4692560770837726,
      0.4621659624031033,
      0.4551824236903073,
      0.44830362500372195,
      0.4415277930083747,
      0.43485318761717606,
      0.42827810277631595,
      0.42180086704588765,
      0.41541984317491637,
      0.40913342767069866,
      0.40294005057487586,
      0.3968381743347378,
      0.39082629312291517,
      0.3849029322806459,
      0.37906709157963087,
      0.37331810321002884,
      0.3676550692922995,
      0.3620769275937585,
      0.3565825166880612,
      0.3511706188144908,
      0.3458400490336601,
      0.340589832138687,
      0.33541892566720694,
      0.33032597674133773,
      0.32530954129269546,
      0.3203682649360097,
      0.31550086011896117,
      0.31070609081734524,
      0.3059827636022461,
      0.30132981167227724,
      0.2967462415100712,
      0.2922310348243395,
      0.2877831762392734,
      0.2834016612435884,
      0.27908548414961465,
      0.27483364302316565,
      0.2706451444498403,
      0.2665190065454943,
      0.26245426072068045,
      0.25844995276780847,
      0.2545052291206454,
      0.2506195899464456,
      0.24679251378851308,
      0.2430233490401216,
      0.23931136253465835,
      0.23565577181767733,
      0.23205576664926214,
      0.22851052313807055,
      0.225019213183137,
      0.22158101077433104,
      0.2181950958120283,
      0.21486065670985297,
      0.2115768922612543,
      0.20834297077186484,
      0.20515800356867547,
      0.20202114104916621,
      0.19893157747024648,
      0.195888540630687,
      0.19289128458471808,
      0.1899390845198159,
      0.18703123375565403,
      0.18416704136505346,
      0.18134583037044627,
      0.17856693673931673,
      0.17582970842465045,
      0.17313350504560038,
      0.17047769706295593,
      0.16786166552207224,
      0.16528480180949365,
      0.16274650723821268,
      0.16024619290676215,
      0.15778327950655452,
      0.1553571971866928,
      0.15296738522730757,
      0.150613291775311,
      0.1482943739289083,
      0.1460100974900204,
      0.14375993666493103,
      0.14154337396631153,
      0.13935990015140953,
      0.13720901406971114,
      0.1350902225398831,
      0.13300304014247033,
      0.13094698888861728,
      0.1289215985474064,
      0.1269264061120126,
      0.1249609557967997,
      0.12302479897992008,
      0.12111749411715836,
      0.11923860641713856,
      0.11738770794453672,
      0.11556437741392303,
      0.1137682000369013,
      0.1119987674405733,
      0.11025567758108465,
      0.10853853464604887,
      0.1068469489006963,
      0.10518053666856539,
      0.1035389201793474,
      0.10192172746185067,
      0.100328592186007,
      0.09875915370834312,
      0.09721305688856607,
      0.09568995210254083,
      0.09418949508996223,
      0.09271134665443158,
      0.09125517288996889,
      0.08982064508228106,
      0.08840743945580881,
      0.08701523719286292,
      0.08564372430749713,
      0.08429259152349447,
      0.08296153428329463,
      0.08165025275788905,
      0.0803584516408082,
      0.07908584004751996,
      0.07783213148766803,
      0.07659704391327848,
      0.075380299442607,
      0.0741816243978843,
      0.07300074929453848,
      0.07183740872453498,
      0.07069134124189087,
      0.06956228932931309,
      0.0684499994140366,
      0.06735422181825818,
      0.06627471049848223,
      0.06521122310941446,
      0.06416352093203018,
      0.06313136900255988,
      0.06211453575295241,
      0.06111279313431361,
      0.06012591653734843,
      0.05915368467430936,
      0.05819587960067823,
      0.0572522867301741,
      0.05632269453464659,
      0.05540689483101079,
      0.05450468252076746,
      0.05361585552908824,
      0.05274021476740854,
      0.0518775641426164,
      0.0510277105041587,
      0.050190463583104535,
      0.04936563602159468,
      0.04855304322894472,
      0.04775250335281385,
      0.046963837276926546,
      0.04618686859073208,
      0.045421423493220876,
      0.04466733075748466,
      0.04392442170164804,
      0.04319253036050797,
      0.0424714929898684,
      0.041761148393775545,
      0.04106133780336589,
      0.04037190474564958,
      0.03969269512512572,
      0.039023557107281816,
      0.03836434125575167,
      0.037714900195347505,
      0.0370750888554468,
      0.03644476413671704,
      0.03582378532690813,
      0.035212013695340924,
      0.034609312492800436,
      0.034015547136847034,
      0.033430585116436436,
      0.03285429577703566,
      0.032286550440498045,
      0.03172722227185893,
      0.03117618631844584,
      0.03063331956270198,
      0.030098500836370192,
      0.029571610646007135,
      0.029052531418717012,
      0.028541147265440686,
      0.02803734406251598,
      0.027541009323668156,
      0.027052032332792665,
      0.026570303952889635,
      0.026095716606404615,
      0.02562816434449779,
      0.02516754282072637,
      0.02471374923899323,
      0.02426668230778661,
      0.02382624226376354,
      0.023392330850235895,
      0.022964851206133004,
      0.022543707970645345,
      0.022128807170661013,
      0.021720056271205646,
      0.021317364124816413,
      0.020920640861151567,
      0.020529797945604836,
      0.020144748163186454,
      0.0197654055761121,
      0.01939168558156146,
      0.019023504892075774,
      0.018660781400014686,
      0.018303434218588543,
      0.017951383619503762,
      0.017604551013027273,
      0.017262858977339635,
      0.016926231324088888,
      0.016594592996913852,
      0.01626787005108176,
      0.015945989528792306,
      0.015628879701453657,
      0.015316469839280434,
      0.015008690239367755,
      0.014705472187863953,
      0.014406748148697992,
      0.014112451492298611,
      0.01382251656514513,
      0.013536878725018372,
      0.013255474329369112,
      0.012978240593778799,
      0.012705115721083309,
      0.01243603878626078,
      0.012170949790167963,
      0.011909789583306565,
      0.011652499932711733,
      0.011399023465309197,
      0.011149303659205832,
      0.010903284851891652,
      0.010660912193516064,
      0.01042213165205078,
      0.010186890006432102,
      0.009955134714163523,
      0.009726814080537155,
      0.009501877246631417,
      0.00928027407241971,
      0.009061955143810673,
      0.008846871699352964,
      0.008634975878154124,
      0.008426220442727648,
      0.008220558842017773,
      0.008017945263929273,
      0.007818334442899082,
      0.007621681838580517,
      0.0074279437344698124,
      0.007237076843790954,
      0.007049038610440632,
      0.006863787175376342,
      0.006681281231541357,
      0.00650148011630649,
      0.006324343740824347,
      0.006149832553619084,
      0.005977907614394369,
      0.0058085306382650295,
      0.0056416638647118645,
      0.005477269979292276,
      0.0053153124382184745,
      0.005155755050883673,
      0.0049985622643503305,
      0.004843698972842353,
      0.004691130799779574,
      0.004540823695675518,
      0.004392744141760175,
      0.004246859139186923,
      0.004103136270241821,
      0.003961543431331274,
      0.003822048961330328,
      0.0036846217526986806,
      0.003549231154756141,
      0.003415847006181118,
      0.003284439637356569,
      0.003154979683939113,
      0.003027438315087945,
      0.002901787081773738,
      0.0027779979965526494,
      0.002656043493668467,
      0.0025358963969433473,
      0.0024175299339939302,
      0.0023009176437946313,
      0.002186033495657471,
      0.0020728518757160723,
      0.001961347607572759,
      0.0018514958151963725,
      0.0017432719397714686,
      0.001636651974060041,
      0.0015316120818253598,
      0.0014281289242445558,
      0.0013261794220060497,
      0.00122574074079332,
      0.001126790532635708,
      0.00102930694347476,
      0.0009332693352177083,
      0.0008386573841337535,
      0.0007454507086167897,
      0.0006536290626563164,
      0.0005631721545246667,
      0.0004740600253266109,
      0.00038627270316614554,
      0.00029979069746266903,
      0.00021459470594692676,
      0.00013066564072652817,
      4.7984757117504657e-05,
      -3.346650285567235e-05,
      -0.00011370648151955395,
      -0.00019275312940173113,
      -0.000270624203133451,
      -0.000347337093044664,
      -0.00042290912730683116,
      -0.0004973572386053398,
      -0.0005706981710856336,
      -0.0006429484378716178,
      -0.0007141241565896247,
      -0.0007842413482188064,
      -0.000853315758310945,
      -0.0009213628869501889,
      -0.0009883980177077306,
      -0.0010544362268376302,
      -0.0011194923025452603,
      -0.0011835808347844116,
      -0.0012467162153208169,
      -0.001308912700643888,
      -0.0013701841625352099,
      -0.0014305443906512552,
      -0.0014900069112454976,
      -0.0015485851802453222,
      -0.001606292279863431,
      -0.0016631411608423504,
      -0.001719144616947988,
      -0.0017743151760394366,
      -0.0018286652384954223,
      -0.0018822070112530463,
      -0.0019349525049027286,
      -0.0019869135936364116,
      -0.002038101845393815,
      -0.002088528777373914,
      -0.002138205799451575,
      -0.0021871440362828793,
      -0.002235354421864696,
      -0.0022828478506889583,
      -0.0023296349467521685
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56665642452061,
      10.335966506376634,
      10.097037496537677,
      9.85300116734737,
      9.60637433757781,
      9.359355146030898,
      9.113860592662542,
      8.871495960365536,
      8.63352296838364,
      8.400873620980413,
      8.174181682582532,
      7.9538028872245645,
      7.739845321106954,
      7.532205552336233,
      7.330605586764656,
      7.134646064794677,
      6.943850233645084,
      6.75770135928171,
      6.575673555658399,
      6.397261401306571,
      6.2219970029529925,
      6.049450518623988,
      5.879246931485991,
      5.711083922013331,
      5.5447342445864,
      5.380047473848798,
      5.216950987802328,
      5.055454845205301,
      4.895635074387317,
      4.737627089038334,
      4.5816378457559335,
      4.427938057879265,
      4.276867703907608,
      4.128812049897517,
      3.984172101399089,
      3.843347634458816,
      3.706724193737482,
      3.574665015002468,
      3.4474931501204957,
      3.325481891339679,
      3.2088497277941173,
      3.097757680978074,
      2.9923074681547104,
      2.8925308665082294,
      2.7983855531174173,
      2.7097656099450993,
      2.6265272092084664,
      2.548465781237862,
      2.4753381718010905,
      2.406899265368274,
      2.342892560876464,
      2.283024897149857,
      2.226975941225898,
      2.1743878721189014,
      2.124878153644992,
      2.0780844075913634,
      2.033676269172368,
      1.9913495742406608,
      1.950842154178681,
      1.9119347484251272,
      1.874454177337493,
      1.838261997754503,
      1.8032431489830796,
      1.7692963949645857,
      1.7363383802722878,
      1.7043013628234192,
      1.6731290480345657,
      1.6427738065646698,
      1.6131943218518405,
      1.5843539706570262,
      1.5562198021572085,
      1.5287596972444335,
      1.5019428008280198,
      1.4757415862549925,
      1.4501311479923749,
      1.4250886616507956,
      1.400592998101313,
      1.3766251418098585,
      1.353168454396565,
      1.3302070945768247,
      1.3077255614075536,
      1.2857087964803915,
      1.264142242061532,
      1.243011870348955,
      1.2223041923875715,
      1.2020062557243814,
      1.1821067867241255,
      1.1625960205075605,
      1.1434640201042685,
      1.1247012352191192,
      1.106298990013828,
      1.088250478590159,
      1.070549875868887,
      1.0531902746552984,
      1.036164119346715,
      1.019463534964267,
      1.0030805411841959,
      0.9870071902098629,
      0.9712356540631228,
      0.95575827851416,
      0.9405676137463592,
      0.9256564312007343,
      0.9110177314370476,
      0.896644744364644,
      0.882530926786126,
      0.8686699570974133,
      0.8550557282413533,
      0.8416823409206438,
      0.8285440952494865,
      0.8156354828282919,
      0.8029511789314506,
      0.790486034693758,
      0.7782350696314775,
      0.7661934648818234,
      0.754356556343675,
      0.7427198276845026,
      0.7312789048031538,
      0.7200295493407828,
      0.7089676531010021,
      0.6980892326678859,
      0.6873904247280048,
      0.6768674808217071,
      0.6665167628362842,
      0.6563347383665507,
      0.6463179765644892,
      0.6364631337058896,
      0.6267669045204913,
      0.617226072706148,
      0.6078375346945267,
      0.598598287485776,
      0.5895054198813605,
      0.5805561054427381,
      0.5717475968808968,
      0.5630772220179144,
      0.554542380191754,
      0.5461405386373975,
      0.5378692296982174,
      0.5297260484250513,
      0.5217086500446932,
      0.5138147477948297,
      0.5060421109868575,
      0.49838856267335035,
      0.49085197830653593,
      0.4834302834913432,
      0.4761214525484861,
      0.46892350700763014,
      0.46183441582550305,
      0.4548520812054111,
      0.4479746313676203,
      0.4412002471772153,
      0.43452715774139866,
      0.42795363660690644,
      0.421477998500477,
      0.41509859684161843,
      0.40881382213079126,
      0.4026220999191698,
      0.39652188973698377,
      0.39051168383915785,
      0.3845900289664989,
      0.3787560111567472,
      0.37300894511697674,
      0.3673478978082576,
      0.36177178375462593,
      0.3562794261215524,
      0.35086959704861015,
      0.3455411277015665,
      0.34029304824053136,
      0.33512429963923007,
      0.3300335168191299,
      0.32501925091878014,
      0.32008014426775694,
      0.31521490687380355,
      0.3104223011947826,
      0.30570113984762165,
      0.30105036498827276,
      0.2964689765307509,
      0.2919559518907025,
      0.28751027439219234,
      0.2831309377496526,
      0.27881693413283154,
      0.27456726023091227,
      0.2703809217827576,
      0.2662569362639958,
      0.2621943345327516,
      0.25819216206519846,
      0.2542495760840436,
      0.25036609192340786,
      0.24654117851636714,
      0.24277417775106,
      0.23906435215340185,
      0.2354109163910534,
      0.23181305824161003,
      0.22826995248873994,
      0.22478077009030498,
      0.221344684346504,
      0.21796087467774544,
      0.21462852938909774,
      0.21134684707760246,
      0.2081149908520541,
      0.2049320714647014,
      0.2017972409886425,
      0.1987096950818716,
      0.19566866235599117,
      0.19267339733329444,
      0.18972317566920477,
      0.18681729087192922,
      0.18395505203766255,
      0.18113578232633876,
      0.1783588177276638,
      0.1756235062533525,
      0.17292920742030238,
      0.1702752916663734,
      0.16766114012441954,
      0.16508614409215788,
      0.16254970490287074,
      0.16005123365023471,
      0.15759015115411212,
      0.15516588751331403,
      0.15277788187383912,
      0.15042558234166606,
      0.14810844606632026,
      0.1458259388343007,
      0.14357753486414393,
      0.14136271668908618,
      0.13918097512695857,
      0.13703180894909703,
      0.134914725011413,
      0.13282923783010456,
      0.13077486951089964,
      0.1287511496307715,
      0.12675761526943435,
      0.1247938107644327,
      0.12285928745054082,
      0.12095360376382566,
      0.11907632508187888,
      0.1172270234264176,
      0.11540527749879968,
      0.11361067256464737,
      0.11184280024497756,
      0.110101258658995,
      0.10838565191913326,
      0.10669559032695443,
      0.10503069015627381,
      0.10339057366632201,
      0.10177486890514385,
      0.10018320971716267,
      0.09861523542007745,
      0.0970705909518359,
      0.09554892667395576,
      0.09404989833951781,
      0.09257316687618353,
      0.09111839844112035,
      0.08968526425218461,
      0.08827344062759175,
      0.08688260863602414,
      0.08551245442807359,
      0.08416266888849597,
      0.08283294754420768,
      0.08152299057107104,
      0.0802325025592092,
      0.07896119276491782,
      0.0777087747841712,
      0.07647496664887618,
      0.07525949062110046,
      0.07406207291302352,
      0.07288244416229846,
      0.07172033894050106,
      0.07057549580702557,
      0.06944765739017285,
      0.06833657021571932,
      0.06724198461016179,
      0.06616365460830403,
      0.0651013378808166,
      0.0640547958626791,
      0.0630237935454576,
      0.062008099508788835,
      0.061007485786745426,
      0.06002172771521568,
      0.05905060410333848,
      0.05809389705802953,
      0.05715139197380512,
      0.05622287755697483,
      0.05530814557573948,
      0.054406991006997495,
      0.0535192117684652,
      0.052644608926460515,
      0.05178298643513367,
      0.050934151144224,
      0.050097912893900476,
      0.04927408442694045,
      0.048462481203761044,
      0.04766292152651131,
      0.046875226247874865,
      0.04609921900790219,
      0.04533472610927565,
      0.04458157637074221,
      0.04383960128291916,
      0.043108634817844126,
      0.04238851324807371,
      0.041679075502475245,
      0.04098016290865511,
      0.04029161905291948,
      0.03961328994126773,
      0.03894502382923151,
      0.038286671210112734,
      0.03763808477326591,
      0.03699911949833766,
      0.03636963247174914,
      0.03574948300406609,
      0.035138532425080596,
      0.03453664404231285,
      0.033943683406380036,
      0.033359518002888035,
      0.032784017260096346,
      0.032217052455938505,
      0.03165849697615985,
      0.03110822583549664,
      0.030566116144159366,
      0.030032046716760973,
      0.029505898267149715,
      0.028987553209515047,
      0.02847689572041122,
      0.027973811655284717,
      0.027478188598469754,
      0.026989915869065916,
      0.026508884380850403,
      0.026034986635633674,
      0.02556811693902485,
      0.02510817094886862,
      0.02465504582690779,
      0.0242086403581541,
      0.02376885490471902,
      0.023335591264111815,
      0.02290875257741159,
      0.02248824361185579,
      0.02207397054080276,
      0.0216658407800127,
      0.021263763172332997,
      0.02086764785324838,
      0.02047740637628763,
      0.02009295162732,
      0.01971419782075951,
      0.01934106043704717,
      0.018973456037741372,
      0.018611302664080672,
      0.01825451941398014,
      0.017903026653264088,
      0.017556745887957165,
      0.017215599749268208,
      0.016879512199639436,
      0.0165484081262856,
      0.016222213505161162,
      0.015900855657607123,
      0.015584262832054547,
      0.01527236439359175,
      0.014965090616873256,
      0.014662373004552502,
      0.014364143955007397,
      0.014070336891817577,
      0.013780886231642512,
      0.013495727394427004,
      0.013214796670759667,
      0.012938031424001633,
      0.012665369882588923,
      0.012396751171561231,
      0.012132115347101513,
      0.011871403333466625,
      0.011614556932749936,
      0.011361518895855795,
      0.011112232615062279,
      0.010866642460404771,
      0.010624693684404975,
      0.010386332366618825,
      0.010151505207585666,
      0.009920159815961428,
      0.009692244490134474,
      0.009467708498975812,
      0.009246501723748978,
      0.00902857471591269,
      0.008813878897560683,
      0.008602366288052677,
      0.008393989703801999,
      0.008188702617665402,
      0.007986459262871738,
      0.007787214529434994,
      0.007590923940045982,
      0.007397543755320195,
      0.007207030713031693,
      0.0070193423992480535,
      0.006834436827315377,
      0.006652272782090493,
      0.006472809619956202,
      0.006296007281013945,
      0.006121826341866976,
      0.005950227905412194,
      0.005781173728175534,
      0.005614625942741321,
      0.0054505474565020315,
      0.005288901672262333,
      0.005129652478375907,
      0.0049727644759128995,
      0.004818202597815573,
      0.004665932327706032,
      0.004515919615172032,
      0.004368131009293655,
      0.004222533680169684,
      0.004079095124512207,
      0.003937783349824658,
      0.0037985667042639425,
      0.0036614140705152876,
      0.0035262948771599637,
      0.003393179023266419,
      0.0032620368428802073,
      0.0031328390394330828,
      0.003005556768022264,
      0.002880161630345757,
      0.0027566256776933953,
      0.002634921269394672,
      0.00251502127607202,
      0.002396898960349261,
      0.0022805279673288096,
      0.0021658824120178548,
      0.0020529366949890143,
      0.0019416655036216452,
      0.001832044075398977,
      0.001724047979888153,
      0.0016176531117256159,
      0.0015128357550488962,
      0.0014095724142567285,
      0.0013078400523510948,
      0.001207615956046033,
      0.0011088778628302693,
      0.0010116037464676236,
      0.0009157719529657512,
      0.0008213620442506437,
      0.0007283542792436456,
      0.0006367286775710579,
      0.0005464650809769216,
      0.0004575436278845066,
      0.00036994464336347576,
      0.00028364869552835497,
      0.00019863651924531496,
      0.00011488906769971921,
      3.2387596856983786e-05,
      -4.888652942931101e-05,
      -0.00012895152417808758,
      -0.00020782536979752487,
      -0.00028552557053651377,
      -0.0003620696793509062,
      -0.00043747495955371413,
      -0.0005117582999665079,
      -0.0005849364657965284,
      -0.0006570258653386885,
      -0.0007280426525391309,
      -0.0007980028479127745,
      -0.0008669221085638515,
      -0.0009348159424730092,
      -0.0010016996293229186,
      -0.0010675881533100194,
      -0.001132496338355036,
      -0.0011964387091376988,
      -0.0012594295861238043,
      -0.0013214832881566641,
      -0.0013826137879466415,
      -0.0014428348115663157,
      -0.0015021598349754344,
      -0.0015606021877493305,
      -0.001618174959190038,
      -0.0016748911324634232,
      -0.0017307634255413465,
      -0.0017858044302371126,
      -0.001840026477084501,
      -0.001893441849389723,
      -0.001946062487695869,
      -0.001997900208533023,
      -0.0020489666553053015,
      -0.0020992733313520084,
      -0.0021488315051900455,
      -0.0021976523246907977,
      -0.0022457467526644593,
      -0.0022931255908835214,
      -0.0023397994015346394
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566654014140566,
      10.335955139283525,
      10.09701117820017,
      9.852955105716989,
      9.606304712748196,
      9.359259382578724,
      9.11373712340881,
      8.871344176382474,
      8.63334316632145,
      8.400666418694506,
      8.17394779465945,
      7.953543026697081,
      7.739560128214498,
      7.53189541991005,
      7.3302705454351615,
      7.134286033650017,
      6.943465087822247,
      6.757291045316806,
      6.575238127768559,
      6.396801051992065,
      6.22151208284931,
      6.048941651435665,
      5.878714906436267,
      5.710529741644393,
      5.544159184086574,
      5.379453064780242,
      5.216339041294644,
      5.0548274830424385,
      4.894994584006443,
      4.7369760195671065,
      4.580979041226115,
      4.4272748467459655,
      4.276204028715803,
      4.128151857349829,
      3.9835192790416163,
      3.8427059092184255,
      3.706097209590574,
      3.5740561606967587,
      3.4469054225343783,
      3.3249178558436663,
      3.208311494207609,
      3.09724689195304,
      2.9918252323483294,
      2.892077705610498,
      2.7979613405777077,
      2.709369611018874,
      2.6261580511415965,
      2.548121542891953,
      2.475016803769043,
      2.406598565327329,
      2.342610222487124,
      2.2827584625310395,
      2.226722892079358,
      2.1741453330401668,
      2.124643327237639,
      2.0778546637025164,
      2.0334492275641924,
      1.991123202571211,
      1.9506148729945034,
      1.9117053925432552,
      1.8742219137958966,
      1.8380262260882725,
      1.8030034414092262,
      1.7690524534669012,
      1.736090023808216,
      1.7040484939129572,
      1.6728716197666853,
      1.6425118006119892,
      1.6129277566491746,
      1.5840828906282924,
      1.5559442689609515,
      1.5284798118875222,
      1.5016586743078963,
      1.4754533230252775,
      1.4498388483521392,
      1.4247924230142568,
      1.4002929154496253,
      1.3763213403847823,
      1.352861070883672,
      1.3298962480204959,
      1.3074113586478142,
      1.2853913355341693,
      1.263821614004409,
      1.2426881607623284,
      1.2219774830305261,
      1.2016766254620608,
      1.1817744582195515,
      1.162261228573004,
      1.1431269442354235,
      1.124362039670333,
      1.1059579309617034,
      1.08790795764012,
      1.070206179597983,
      1.0528456086142002,
      1.0358186345058122,
      1.0191173456340306,
      1.0027337371784621,
      0.9866598449977366,
      0.9708878296825647,
      0.955410029137161,
      0.9402189884601243,
      0.9253074756533547,
      0.9106684884515962,
      0.8962952548964374,
      0.8821812303096568,
      0.868320092185006,
      0.854705732777057,
      0.8413322517449575,
      0.8281939486589274,
      0.8152853144051603,
      0.8026010234149744,
      0.7901359263498005,
      0.7778850427669255,
      0.7658435533592545,
      0.7540067934183086,
      0.7423702463666857,
      0.730929537373108,
      0.7196804274399269,
      0.7086188078142365,
      0.6977406949530663,
      0.6870422251776908,
      0.6765196491618658,
      0.6661693282560469,
      0.6559877294065013,
      0.6459714216336485,
      0.6361170595815697,
      0.6264213360829228,
      0.616881035104461,
      0.60749305306389,
      0.5982543870659286,
      0.5891621253158525,
      0.580213441087829,
      0.5714055870318416,
      0.562735890569618,
      0.5542017503187893,
      0.5458006330763943,
      0.537530070921771,
      0.5293876584541208,
      0.5213710502798575,
      0.5134779591967076,
      0.5057061538429399,
      0.4980534570202196,
      0.49051774345524213,
      0.48309693833527534,
      0.4757890157379569,
      0.4685919966615455,
      0.4615039257854557,
      0.4545228115436689,
      0.44764671700375663,
      0.4408737806031071,
      0.43420220305100693,
      0.4276302388191612,
      0.4211561896569837,
      0.41477840052930526,
      0.4084952559603827,
      0.4023051776232358,
      0.3962066222066215,
      0.3901980799694448,
      0.3842781481670847,
      0.3784459833896373,
      0.37270085444060713,
      0.367041798428409,
      0.361467710072098,
      0.35597739947418133,
      0.3505696299225624,
      0.3452432555247355,
      0.33999730455555455,
      0.3348307025743149,
      0.3297420736699639,
      0.32472996426680867,
      0.31979301361217094,
      0.3149299298042926,
      0.3101394737529449,
      0.3054204641408539,
      0.30077185218952635,
      0.29619263127531475,
      0.29168177443727833,
      0.2872382639587854,
      0.28286109158112255,
      0.2785492476158761,
      0.27430172740647296,
      0.270117535622051,
      0.2659956890024405,
      0.2619352179097522,
      0.2579351675220642,
      0.2539947084016964,
      0.25011336750109775,
      0.24629060448593745,
      0.242525755129259,
      0.238818077759094,
      0.23516678414674436,
      0.2315710601826458,
      0.22803007926766536,
      0.22454301156389816,
      0.22110902972558355,
      0.2177273128258933,
      0.21439704878804505,
      0.2111174359296267,
      0.20788763237149896,
      0.20470674844921335,
      0.20157393804526633,
      0.19848839790848255,
      0.1954493574074391,
      0.19245607162939232,
      0.18950781654019896,
      0.1866038859333166,
      0.1837435890379929,
      0.18092624907078805,
      0.17815120211575852,
      0.17541779607417043,
      0.17272539057919883,
      0.17007335604886664,
      0.1674610735354238,
      0.16488793441068642,
      0.16235333997550858,
      0.1598567013681421,
      0.15739743927527255,
      0.15497498373819318,
      0.15258877387535144,
      0.1502382581129427,
      0.1479228933909747,
      0.14564214539810083,
      0.14339548830853152,
      0.1411824047723575,
      0.13900238558585865,
      0.13685492967849716,
      0.1347395436522578,
      0.13265574206872618,
      0.13060304713614063,
      0.12858098847676752,
      0.12658910310075802,
      0.12462693539610362,
      0.12269403668974396,
      0.12078996548504974,
      0.11891428709171784,
      0.11706657359524353,
      0.11524640375857789,
      0.11345336281154511,
      0.11168704241967889,
      0.10994704057205956,
      0.10823296152144472,
      0.10654441566199861,
      0.1048810192620123,
      0.10324239455906753,
      0.10162816962706851,
      0.10003797839629013,
      0.0984714602796214,
      0.09692826017964662,
      0.0954080285334162,
      0.09391042107085346,
      0.09243509881982476,
      0.09098172800232059,
      0.08954997987233927,
      0.08813953075527209,
      0.08675006186329084,
      0.08538125933159593,
      0.0840328140168033,
      0.08270442146487034,
      0.08139578187030466,
      0.08010659994943936,
      0.0788365850497806,
      0.07758545088736714,
      0.0763529153920626,
      0.07513870074602005,
      0.07394253343412627,
      0.07276414407799751,
      0.07160326741169165,
      0.07045964208481793,
      0.0693330106516575,
      0.06822311963490242,
      0.06712971940317093,
      0.0660525641807283,
      0.06499141173049235,
      0.06394602352094254,
      0.06291616460477374,
      0.06190160350379815,
      0.06090211234227526,
      0.059917466573848895,
      0.05894744501326177,
      0.05799182992194642,
      0.057050406721400146,
      0.05612296411302864,
      0.05520929389174174,
      0.054309191137188434,
      0.0534224538287999,
      0.0525488831364091,
      0.051688283140629926,
      0.050840460777543554,
      0.0500052259274917,
      0.049182391346431854,
      0.048371772547725685,
      0.04757318775796809,
      0.046786458083492494,
      0.04601140720093807,
      0.04524786144892752,
      0.04449564979308458,
      0.043754603746830364,
      0.043024557184263526,
      0.04230534663283669,
      0.04159681099385621,
      0.040898791590283035,
      0.04021113210280716,
      0.03953367855629519,
      0.03886627933116537,
      0.03820878510730984,
      0.037561048641968506,
      0.036922924864171695,
      0.03629427099000707,
      0.03567494637000026,
      0.035064812440348106,
      0.03446373251632949,
      0.033871572137315224,
      0.033288198958868635,
      0.03271348241111973,
      0.03214729388284319,
      0.03158950668999266,
      0.031039996077529882,
      0.0304986392283912,
      0.029965315050948287,
      0.029439904151285216,
      0.028922289034921635,
      0.028412354022910986,
      0.027909985117844403,
      0.027415069889094264,
      0.02692749766959828,
      0.026447159434672737,
      0.02597394780202379,
      0.025507756942680197,
      0.025048482625077667,
      0.02459602222073299,
      0.02415027456377068,
      0.023711140044824625,
      0.023278520558334917,
      0.02285231934146175,
      0.022432441142292286,
      0.022018792044379135,
      0.02161127962059864,
      0.021209812832174813,
      0.020814301952055202,
      0.020424658582700646,
      0.020040795557916026,
      0.01966262713593023,
      0.01929006886700813,
      0.01892303751071103,
      0.018561450996209736,
      0.018205228520624582,
      0.017854290518709452,
      0.017508558535503742,
      0.01716795539611137,
      0.01683240497325615,
      0.016501832187909835,
      0.016176163192189848,
      0.01585532518789868,
      0.015539246504011537,
      0.015227856601895082,
      0.014921085894308175,
      0.01461886585414592,
      0.01432112898754434,
      0.014027808728411997,
      0.013738839539892224,
      0.013454156867414307,
      0.013173697159191422,
      0.012897397744084637,
      0.012625196903920395,
      0.012357033911485212,
      0.01209284876672795,
      0.011832582425992869,
      0.011576176786751921,
      0.011323574478669201,
      0.011074719102869541,
      0.010829555149371941,
      0.010588027826042422,
      0.010350083219085827,
      0.010115668106047642,
      0.009884730211619468,
      0.009657217830624289,
      0.00943308019773846,
      0.009212267301171162,
      0.008994729737177472,
      0.008780419006136306,
      0.008569287258594682,
      0.008361287234763372,
      0.00815637255621578,
      0.007954497442029215,
      0.007755616809237202,
      0.007559686146664325,
      0.007366661830127683,
      0.007176500683938853,
      0.00698916017437752,
      0.006804598496873557,
      0.006622774424876363,
      0.006443647383455078,
      0.0062671773791187595,
      0.006093324988973735,
      0.005922051333422563,
      0.00575331819712049,
      0.005587087878987429,
      0.005423323215809904,
      0.0052619877292286186,
      0.005103045361568446,
      0.004946460576171177,
      0.0047921983958952585,
      0.004640224399381809,
      0.004490504547980261,
      0.004343005446440024,
      0.004197694243563076,
      0.004054538477921907,
      0.003913506166757228,
      0.0037745658266212425,
      0.003637686381711083,
      0.0035028372389672765,
      0.0033699882761663302,
      0.003239109838319917,
      0.0031101726592738205,
      0.0029831479758913836,
      0.002858007491826487,
      0.0027347232531805205,
      0.0026132676597735217,
      0.0024936136048542314,
      0.0023757342859487157,
      0.002259603526198553,
      0.002145195346804703,
      0.0020324841197218624,
      0.0019214446514575333,
      0.0018120522495838306,
      0.0017042824413125203,
      0.0015981111572963634,
      0.0014935147135274507,
      0.001390469680094765,
      0.0012889530374275212,
      0.0011889421811969434,
      0.0010904147636667484,
      0.0009933487969501264,
      0.0008977226236671576,
      0.0008035150038623378,
      0.0007107057629553994,
      0.0006192754644954992,
      0.000529204392647427,
      0.00044047294547401616,
      0.0003530614432936154,
      0.00026695051602060327,
      0.00018212103332259673,
      9.855400410843597e-05,
      1.6230775542637365e-05,
      -6.48671612327287e-05,
      -0.00014475806540249964,
      -0.00022345985927594802,
      -0.00030099019862468083,
      -0.00037736654830101984,
      -0.0004526060155055639,
      -0.0005267254996484981,
      -0.0005997417333746189,
      -0.0006716711316271202,
      -0.0007425298499551302,
      -0.0008123338162656943,
      -0.0008810987295913956,
      -0.0009488400643343318,
      -0.0010155730612351913,
      -0.0010813127045389676,
      -0.001146073793371553,
      -0.0012098709110119421,
      -0.0012727184691847333,
      -0.0013346305930747372,
      -0.0013956211066697539,
      -0.0014557037525537568,
      -0.0015148920359213478,
      -0.0015731993283335593,
      -0.0016306387422399787,
      -0.0016872231825092786,
      -0.001742965416083149,
      -0.0017978779058971572,
      -0.001851973005973277,
      -0.00190526291455193,
      -0.0019577596203588224,
      -0.0020094748921922166,
      -0.002060420401716709,
      -0.002110607559147322,
      -0.0021600475898689367,
      -0.002208751712271764,
      -0.0022567308699269067,
      -0.002303995844581369,
      -0.002350557273104711
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566651611084739,
      10.335943808894463,
      10.096984942382583,
      9.852909186633642,
      9.606235303309376,
      9.359163918738197,
      9.113614045550404,
      8.871192881659884,
      8.633163957904651,
      8.400459915018816,
      8.173714713337942,
      7.95328408181967,
      7.739275958907505,
      7.531586418014904,
      7.329936741111926,
      7.133927346767555,
      6.943081395240728,
      6.75688229616737,
      6.57480437580184,
      6.396342487388944,
      6.221029053937944,
      6.048434784334633,
      5.878184992624512,
      5.709977786353847,
      5.543586462740539,
      5.378861108077228,
      5.215729658681668,
      5.0542027927055,
      4.894356869176352,
      4.736327824566745,
      4.58032320376719,
      4.426614685767068,
      4.275543472733771,
      4.127494838575701,
      3.982869670020239,
      3.8420674219032582,
      3.7054734722886273,
      3.573450546539162,
      3.4463209130104597,
      3.3243570016587247,
      3.207776390714484,
      3.096739169949534,
      2.991345990779627,
      2.891627457224784,
      2.7975399522411046,
      2.7089763434263245,
      2.625791529132585,
      2.5477798445615853,
      2.4746978806744724,
      2.4063002170186034,
      2.3423301445174705,
      2.282494199635498,
      2.226471930961291,
      2.1739048057922377,
      2.124410443000225,
      2.0776267994697704,
      2.033224010281437,
      1.9908986065004664,
      1.9503893254963112,
      1.91147773436989,
      1.873991316531479,
      1.837792092605344,
      1.8027653466200777,
      1.7688101009352444,
      1.7358432341376355,
      1.703797171171051,
      1.6726157178703076,
      1.642251302400025,
      1.6126626815939875,
      1.5838132834436285,
      1.555670191704107,
      1.5282013662179794,
      1.5013759716137272,
      1.4751664692043964,
      1.4495479447713928,
      1.4244975674680307,
      1.399994215372687,
      1.3760189264249916,
      1.3525550740666548,
      1.3295867842899458,
      1.3070985323636486,
      1.2850752423896301,
      1.2635023437155877,
      1.242365798662391,
      1.221652110872319,
      1.2013483296152774,
      1.1814434657914608,
      1.1619277705220965,
      1.1427911971563591,
      1.1240241660150472,
      1.1056181854848843,
      1.087566741358705,
      1.0698637787201688,
      1.0525022282834433,
      1.0354744258538995,
      1.0187724231392563,
      1.0023881905212546,
      0.9863137468527035,
      0.9705412419510383,
      0.9550630062039484,
      0.9398715793109805,
      0.9249597257718751,
      0.9103204407867628,
      0.8959469505124659,
      0.8818327088719663,
      0.8679713922324758,
      0.8543568921366398,
      0.8409833075814154,
      0.8278449372100429,
      0.8149362714705409,
      0.8022519845308644,
      0.7897869265490202,
      0.7775361163554498,
      0.7654947342183454,
      0.7536581148395602,
      0.7420217411078897,
      0.7305812377308157,
      0.719332365160696,
      0.7082710144049403,
      0.6973932010421379,
      0.68669506083369,
      0.67617284428019,
      0.6658229120987412,
      0.6556417308975854,
      0.645625869035708,
      0.6357719795797585,
      0.6260767534161288,
      0.6165369751875523,
      0.607149541501295,
      0.5979114490839588,
      0.5888197860784742,
      0.5798717252178266,
      0.5710645185826058,
      0.5623954931932454,
      0.5538620475288583,
      0.5454616478951954,
      0.537191825698609,
      0.5290501749562089,
      0.5210343497504251,
      0.5131420624836771,
      0.5053710814959308,
      0.4977192289742177,
      0.4901843792935975,
      0.4827644572414556,
      0.4754574362380957,
      0.4682613369203155,
      0.46117428271032834,
      0.45419438420185587,
      0.44731963994470986,
      0.44054814586846475,
      0.4338780742787727,
      0.4273076607171058,
      0.4208351942520564,
      0.4144590112054824,
      0.4081774903182445,
      0.4019890492972079,
      0.3958921421049489,
      0.3898852570424541,
      0.38396704179092284,
      0.378136723148856,
      0.37239352425604294,
      0.3667364524032145,
      0.3611643826916088,
      0.3556761121190003,
      0.3502703952702353,
      0.34494610935643905,
      0.3397022802557582,
      0.3345378183516022,
      0.32945133655337905,
      0.3244413769099495,
      0.31950657567072527,
      0.3146456387146354,
      0.30985732563986956,
      0.30514046117706045,
      0.30049400551865024,
      0.2959169455361401,
      0.2914082509795841,
      0.28696690227580973,
      0.2825918883777697,
      0.27828219778639307,
      0.2740368246206729,
      0.26985477280384446,
      0.26573505839595596,
      0.2616767114843336,
      0.2576787767894423,
      0.25374044571562093,
      0.24986124645584554,
      0.2460406304902526,
      0.2422779279390964,
      0.23857239330038238,
      0.23492323590261283,
      0.2313296399210172,
      0.22779077760814612,
      0.22430581823358345,
      0.2208739338863891,
      0.21749430323306657,
      0.21416611389490856,
      0.21088856391343602,
      0.20766080641210824,
      0.2044819512745494,
      0.20135115422047845,
      0.19826761320611797,
      0.19523055843575776,
      0.19223924552635177,
      0.18929295084647726,
      0.18639096830085725,
      0.18353260725573292,
      0.18071719081026746,
      0.17794405510794037,
      0.17521254824761978,
      0.1725220298228233,
      0.16987187031115367,
      0.16726145064303216,
      0.1646901621911357,
      0.16215740629673736,
      0.1596625940374658,
      0.1572051461029925,
      0.15478449248589507,
      0.15240007248372633,
      0.15005133427402678,
      0.14773773488276393,
      0.1454587399668675,
      0.14321382381792858,
      0.14100246901530678,
      0.13882416631214645,
      0.1366784146277602,
      0.1345647206949588,
      0.13248259890175287,
      0.13043157146730291,
      0.12841116807515746,
      0.12642092580276534,
      0.12446038894562034,
      0.12252910907411226,
      0.12062664457153736,
      0.11875256081070115,
      0.11690642988775557,
      0.11508783041544544,
      0.11329634778864779,
      0.11153157373407706,
      0.10979310622953309,
      0.10808054950755636,
      0.10639351400291511,
      0.1047316160467214,
      0.1030944779811218,
      0.10148172787980123,
      0.09989299954277021,
      0.09832793235052324,
      0.09678617142385437,
      0.09526736722373838,
      0.09377117548782968,
      0.09229725730537325,
      0.09084527889901998,
      0.08941491164059462,
      0.08800583193178546,
      0.0866177210006684,
      0.08525026500119569,
      0.08390315493277321,
      0.0825760863349773,
      0.08126875933222753,
      0.07998087882518568,
      0.07871215409773942,
      0.0774622988627244,
      0.07623103117709186,
      0.07501807333435181,
      0.07382315184873077,
      0.0726459974001785,
      0.07148634474688446,
      0.07034393262382892,
      0.06921850370348485,
      0.06810980455809074,
      0.06701758557232455,
      0.06594160094643464,
      0.06488160850032597,
      0.06383736975474234,
      0.06280864982538206,
      0.0617952173975391,
      0.06079684457385034,
      0.05981330689020697,
      0.058844383268345624,
      0.05788985595862096,
      0.056949510498304885,
      0.05602313558037323,
      0.0551105231312042,
      0.05421146824782452,
      0.0533257690864434,
      0.05245322665428158,
      0.05159364521328457,
      0.050746831821406754,
      0.049912596342378907,
      0.04909075159962688,
      0.04828111316283868,
      0.047483499396208606,
      0.04669773144102485,
      0.04592363304932717,
      0.045161030650516756,
      0.044409753125961925,
      0.04366963212045438,
      0.042940501680856044,
      0.04222219837753559,
      0.04151456112677269,
      0.04081743134041911,
      0.04013065280819015,
      0.03945407157006791,
      0.03878753604227321,
      0.03813089686575595,
      0.03748400699258214,
      0.03684672143411039,
      0.03621889742782081,
      0.035600394341833354,
      0.03499107370894948,
      0.034390799071357475,
      0.033799435995512404,
      0.03321685201541482,
      0.03264291660545201,
      0.03207750128802419,
      0.031520479571118316,
      0.030971726721626486,
      0.03043111977437031,
      0.02989853777075138,
      0.0293738614835258,
      0.02885697354260063,
      0.028347758230792698,
      0.02784610155980161,
      0.0273518911744015,
      0.026865016517615012,
      0.026385368652839816,
      0.025912840226160742,
      0.02544732558709664,
      0.02498872050253569,
      0.02453692239802914,
      0.024091830147235527,
      0.023653344019911402,
      0.02322136600404321,
      0.02279579949857392,
      0.022376549323405725,
      0.021963521715932313,
      0.02155662423099727,
      0.021155765856137296,
      0.020760856903421197,
      0.02037180905891149,
      0.019988535297621717,
      0.01961094991828787,
      0.01923896839812851,
      0.018872507571049114,
      0.018511485479623436,
      0.018155821435996266,
      0.017805435883795143,
      0.017460250442733027,
      0.017120187862082584,
      0.01678517209343735,
      0.01645512825340157,
      0.01612998263561453,
      0.015809662364603575,
      0.015494095854290053,
      0.015183212533769573,
      0.01487694286337633,
      0.01457521839913152,
      0.01427797164535485,
      0.013985136178151851,
      0.013696646537390977,
      0.013412438135715639,
      0.013132447482382879,
      0.012856611864004223,
      0.012584869690546218,
      0.012317160221808121,
      0.012053423551997091,
      0.011793600775403972,
      0.011537633825580927,
      0.011285465457181143,
      0.01103703924430219,
      0.010792299639118569,
      0.010551191957282505,
      0.01031366234168928,
      0.010079657652976566,
      0.009849125572950578,
      0.009622014468862256,
      0.009398273674781486,
      0.009177853139742403,
      0.008960703556151996,
      0.008746776439637548,
      0.008536023970769002,
      0.008328399061765777,
      0.00812385524813359,
      0.007922346786302967,
      0.007723828575775605,
      0.007528256319339418,
      0.007335586311047566,
      0.0071457754939481255,
      0.006958781360905669,
      0.006774562067584916,
      0.006593076510247002,
      0.006414284119593717,
      0.006238144924444203,
      0.006064619560154804,
      0.005893669292311021,
      0.005725255769216584,
      0.005559341411352218,
      0.005395889195011937,
      0.005234862519793852,
      0.0050762253381151385,
      0.00491994223628584,
      0.00476597837822969,
      0.004614299298807364,
      0.0044648710612040605,
      0.004317660129974672,
      0.004172633684783351,
      0.004029759326218106,
      0.0038890051265309936,
      0.0037503397208389,
      0.0036137319676111763,
      0.0034791513354449147,
      0.003346567770263559,
      0.0032159517111422517,
      0.0030872738723745153,
      0.0029605054848747237,
      0.002835618246668738,
      0.0027125843327537604,
      0.002591376228658385,
      0.002471966838727869,
      0.002354329449685075,
      0.002238437689329697,
      0.00212426558851491,
      0.002011787644536749,
      0.0019009787019289486,
      0.0017918141781113513,
      0.0016842696742754124,
      0.001578321089660419,
      0.0014739446921092168,
      0.0013711171587243273,
      0.0012698154650408393,
      0.0011700170300577768,
      0.001071699551261862,
      0.0009748410506376263,
      0.000879419858437049,
      0.0007854146107725445,
      0.0006928043056306718,
      0.0006015692699349417,
      0.0005116902298688648,
      0.00042314784112089653,
      0.00033592282275830354,
      0.00024999604700895857,
      0.00016534845125259508,
      8.196107152404451e-05,
      -1.8483495316545557e-07,
      -8.110763416002315e-05,
      -0.00016082545114737788,
      -0.00023935626658826321,
      -0.00031671777104979963,
      -0.0003929273200014835,
      -0.0004680019637003353,
      -0.0005419586224388291,
      -0.0006148139047369686,
      -0.0006865842743324179,
      -0.0007572859240632523,
      -0.0008269347757587565,
      -0.0008955464728147964,
      -0.000963136435225527,
      -0.0010297197992682613,
      -0.0010953116678038232,
      -0.0011599268704749262,
      -0.0012235797421283998,
      -0.0012862846562490175,
      -0.0013480557695293859,
      -0.0014089070457433928,
      -0.0014688522024810169,
      -0.0015279046694495946,
      -0.0015860777112168551,
      -0.0016433844793113687,
      -0.0016998378794670023,
      -0.001755450653910719,
      -0.0018102352788603871,
      -0.0018642040770884593,
      -0.0019173691899236802,
      -0.001969742548626004,
      -0.0020213359785428036,
      -0.002072161060912799,
      -0.002122229197522295,
      -0.0021715518017905587,
      -0.0022201399235987538,
      -0.0022680044709871513,
      -0.0023151562337222448,
      -0.0023616058303866324
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566649214641053,
      10.335932511041618,
      10.096958780350823,
      9.852863394815405,
      9.606166084038943,
      9.359068715425853,
      9.113491303411703,
      8.871041946713023,
      8.632985094120968,
      8.40025375624642,
      8.173481988958443,
      7.953025515201178,
      7.738992199503501,
      7.531277809822172,
      7.32960332920369,
      7.133569064019892,
      6.942698128516301,
      6.756474001795126,
      6.574371117395374,
      6.395884464582332,
      6.220546623742421,
      6.047928579183628,
      5.8776558074132685,
      5.709426628300508,
      5.543014610739537,
      5.378270094168682,
      5.215121293836063,
      5.053579196160394,
      4.893720323976064,
      4.735680874163226,
      4.579668683655289,
      4.4259559119993455,
      4.274884369142075,
      4.1268393312150184,
      3.9822216240780706,
      3.8414305402761673,
      3.7048513742126654,
      3.572846594939607,
      3.4457380794879735,
      3.3237978280070632,
      3.2072429639033566,
      3.0962331122640694,
      2.9908683923696042,
      2.891178823270879,
      2.7971201452658025,
      2.7085846211054956,
      2.6254265142642534,
      2.547439614925055,
      2.4743803872971295,
      2.4060032594502196,
      2.342051415150567,
      2.282231244151293,
      2.226222238067255,
      2.173665510021025,
      2.1241787501361973,
      2.0774000922589333,
      2.032999921691069,
      1.9906751171318107,
      1.9501648673186542,
      1.9112511509436785,
      1.8737617813493286,
      1.8375590108093172,
      1.8025282942172451,
      1.7685687822148135,
      1.7355974700528596,
      1.7035468664190612,
      1.6723608272715744,
      1.6419918092031747,
      1.6123986057421773,
      1.5835446703307023,
      1.5553971040693773,
      1.5279239057908922,
      1.501094249999901,
      1.4748805921550072,
      1.4492580143598814,
      1.4242036819779713,
      1.3996964817450053,
      1.3757174757606703,
      1.3522500372631814,
      1.3292782766805848,
      1.3067866581283585,
      1.2847600977240647,
      1.2631840188060834,
      1.2420443788209796,
      1.221327677642054,
      1.2010210371719863,
      1.181113573862381,
      1.1615954751418442,
      1.142456651663879,
      1.1236875173265326,
      1.1052796774648155,
      1.0872267671848623,
      1.0695226191881881,
      1.0521600850818646,
      1.035131447337029,
      1.0184287224410578,
      1.0020438566422925,
      0.9859688527030865,
      0.9701958492575155,
      0.9547171693743929,
      0.9395253474473788,
      0.9246131443618404,
      0.9099735528213859,
      0.8955997973373834,
      0.8814853305190551,
      0.8676238273855859,
      0.8540091785448527,
      0.840635482564179,
      0.8274970374420487,
      0.8145883328588692,
      0.8019040425413765,
      0.7894390160152799,
      0.7771882715076696,
      0.7651469889577017,
      0.7533105025468264,
      0.7416742945960373,
      0.7302339893162192,
      0.7189853468024036,
      0.7079242576067789,
      0.6970467369505604,
      0.6863489198189643,
      0.6758270563484063,
      0.665477506583599,
      0.6552967366271484,
      0.6452813142113237,
      0.6354278910878375,
      0.6257331562553488,
      0.6161938946076934,
      0.6068070028207219,
      0.5975694775017775,
      0.58847840665831,
      0.5795309626878342,
      0.570724397408417,
      0.5620560374159038,
      0.5535232802906835,
      0.5451235920005474,
      0.536854503583467,
      0.5287136085746333,
      0.520698560786428,
      0.5128070718693615,
      0.5050369096859123,
      0.49738589623978047,
      0.4898519052735447,
      0.4824328609951349,
      0.4751267362415539,
      0.4679315511068693,
      0.46084554050965326,
      0.4538668732498782,
      0.4469934873827901,
      0.44022343881574416,
      0.4335548733592451,
      0.4269860084280499,
      0.4205151211541866,
      0.41414053985390914,
      0.4078606377114292,
      0.40167382866609946,
      0.39557856407478875,
      0.3895733303489664,
      0.38365683080416635,
      0.3778283553788073,
      0.3720870823650978,
      0.3664319897411472,
      0.3608619330083345,
      0.3553756962274689,
      0.34997202539482447,
      0.3446498208865099,
      0.33940810666362947,
      0.33424577772608877,
      0.3291614361680331,
      0.32415361942995624,
      0.3192209606063236,
      0.31436216365685216,
      0.3095759868504278,
      0.30486126080810044,
      0.3002169546754867,
      0.2956420488517709,
      0.2911355097159537,
      0.28669631598435313,
      0.282323454057043,
      0.27801591049114477,
      0.2737726780874481,
      0.2695927598397798,
      0.26547517127510306,
      0.26141894197119875,
      0.25742311638738274,
      0.25348690668648866,
      0.24960984248513385,
      0.2457913668667684,
      0.24203080446879394,
      0.2383274061165187,
      0.23468037847174056,
      0.23108890397383194,
      0.22755215369355974,
      0.22406929611396317,
      0.22063950277587518,
      0.217261951917844,
      0.2139358308250736,
      0.21066033740704146,
      0.20743461969247706,
      0.2042577871429117,
      0.20112899735803141,
      0.19804744950653727,
      0.19501237448104852,
      0.19202302838230836,
      0.18907868788468526,
      0.18617864717324858,
      0.18332221570404095,
      0.18050871683145042,
      0.17773748658492267,
      0.17500787310091565,
      0.17231923597020604,
      0.1696709457030974,
      0.16706238326583808,
      0.16449293989140573,
      0.16196201694154239,
      0.15946902560422002,
      0.15701338642530782,
      0.15459452941863505,
      0.15221189381253095,
      0.14986492782166652,
      0.1475530883987019,
      0.14527584130851637,
      0.1430326607693162,
      0.14082302934019994,
      0.13864643785140535,
      0.13650238512292368,
      0.13439037789096675,
      0.13230993065542013,
      0.13026056564607788,
      0.12824181252558198,
      0.12625320843924823,
      0.12429429769913194,
      0.12236463171979049,
      0.12046376898802202,
      0.11859127490209984,
      0.11674672153121057,
      0.1149296875990136,
      0.11313975850758756,
      0.11137652593765053,
      0.10963958790764977,
      0.1079285487006941,
      0.10624301876113046,
      0.10458261446495382,
      0.10294695824697694,
      0.1013356781691151,
      0.0997484080481744,
      0.09818478740556304,
      0.09664446128988843,
      0.09512708022055441,
      0.09363229992647122,
      0.09215978156119965,
      0.09070919138272263,
      0.08928020080113404,
      0.08787248621469732,
      0.08648572895290035,
      0.08511961520085566,
      0.08377383588698964,
      0.0824480867530897,
      0.08114206808136004,
      0.07985548474303687,
      0.07858804614250371,
      0.07733946590390384,
      0.0761094621294197,
      0.07489775720899261,
      0.07370407772200802,
      0.0725281543953359,
      0.07136972198411128,
      0.07022851924012297,
      0.06910428901237643,
      0.06799677783777008,
      0.06690573616564818,
      0.06583091819229867,
      0.06477208186198236,
      0.06372898873238883,
      0.06270140403756924,
      0.06168909645279835,
      0.060691838250750335,
      0.05970940499063697,
      0.0587415756806306,
      0.05778813253322682,
      0.05684886125102893,
      0.055923550644771475,
      0.05501199270198477,
      0.05411398247982046,
      0.05322931806975658,
      0.05235780070084843,
      0.05149923461940151,
      0.050653426986496546,
      0.04982018778623689,
      0.048999329849773565,
      0.04819066883905177,
      0.04739402318724909,
      0.04660921399231635,
      0.04583606506071234,
      0.04507440285330798,
      0.04432405647602862,
      0.04358485759173241,
      0.0428566402877622,
      0.04213924116885423,
      0.04143249932923846,
      0.04073625613072018,
      0.04005035543176109,
      0.03937464341851358,
      0.03870896846718898,
      0.038053181396653375,
      0.03740713509725587,
      0.03677068467970475,
      0.03614368752439702,
      0.035526003075273614,
      0.034917492803970406,
      0.034318020414035165,
      0.0337274515126756,
      0.0331456537449892,
      0.03257249662738972,
      0.03200785171907574,
      0.03145159246092257,
      0.030903594295273323,
      0.030363734402120198,
      0.029831891913073397,
      0.02930794759161025,
      0.028791784124469456,
      0.028283285815714865,
      0.027782338796363302,
      0.02728883083370949,
      0.02680265129331999,
      0.026323691291878674,
      0.025851843627536356,
      0.025387002627648092,
      0.024929064219419816,
      0.024477925757793714,
      0.02403348631110149,
      0.023595646202422826,
      0.023164307421164928,
      0.022739373532081615,
      0.022320749335943055,
      0.021908341025078878,
      0.0215020563440811,
      0.02110180426664755,
      0.020707495230973604,
      0.02031904093524733,
      0.01993635434171788,
      0.019559349851345064,
      0.019187942987272267,
      0.01882205060479458,
      0.018461590947301286,
      0.018106483236934805,
      0.01775664796260895,
      0.017412006905338114,
      0.017072482870185604,
      0.016737999777935792,
      0.016408482850493906,
      0.0160838583815507,
      0.015764053689213603,
      0.01544899716849148,
      0.015138618309450019,
      0.014832847675388786,
      0.014531616783125442,
      0.014234858286336912,
      0.013942505755971049,
      0.013654493725116065,
      0.01337075768681889,
      0.013091234120974382,
      0.012815860569850067,
      0.012544575431106536,
      0.012277317951555851,
      0.012014028307207556,
      0.011754647667468093,
      0.011499117951729214,
      0.011247381849661732,
      0.0109993830607461,
      0.010755066175214375,
      0.010514376533047381,
      0.010277260302181722,
      0.01004366447094174,
      0.009813536671832481,
      0.0095868253960591,
      0.009363479905800505,
      0.00914345019419803,
      0.008926686999145915,
      0.008713141959832978,
      0.008502767306209481,
      0.008295515906859292,
      0.00809134133847348,
      0.007890197964647046,
      0.007692040743971043,
      0.007496825377792416,
      0.007304508199868297,
      0.007115046176859986,
      0.006928396943073026,
      0.006744518761330647,
      0.0065633703210672065,
      0.006384911167806478,
      0.0062091014044470694,
      0.006035901750960175,
      0.005865273358394824,
      0.005697178158991746,
      0.005531578532309447,
      0.005368437424792231,
      0.0052077183122239525,
      0.005049385196759761,
      0.00489340260521635,
      0.004739735666291769,
      0.0045883500816819205,
      0.004439211953536496,
      0.004292287867577503,
      0.0041475449400273905,
      0.004004950834851607,
      0.003864473687761269,
      0.0037260820765208343,
      0.003589745043854185,
      0.003455431988890902,
      0.003323112826595852,
      0.003192758118052962,
      0.003064338617552677,
      0.0029378255649004596,
      0.002813190712445947,
      0.0026904061318651414,
      0.00256944440335486,
      0.002450278418859956,
      0.0023328815873702256,
      0.0022172276351868333,
      0.0021032906297745683,
      0.001991045119969495,
      0.0018804659403929413,
      0.0017715284436641123,
      0.0016642081617523215,
      0.0015584811616703108,
      0.001454323697053129,
      0.0013517125410667649,
      0.0012506248126957606,
      0.00115103783591298,
      0.0010529293114886473,
      0.0009562772738413851,
      0.0008610600749855398,
      0.0007672564267498015,
      0.0006748453043045739,
      0.0005838061691945142,
      0.0004941194544785325,
      0.0004057662846229673,
      0.0003187276127183197,
      0.0002329844826872672,
      0.00014851803133586873,
      6.53094205087114e-05,
      -1.665989957675665e-05,
      -9.740827590660387e-05,
      -0.00017695382940945226,
      -0.0002553144432868686,
      -0.00033250771238235965,
      -0.0004085509169020891,
      -0.00048346128748545734,
      -0.0005572556272874958,
      -0.0006299505882008938,
      -0.0007015626407321883,
      -0.0007721078013878094,
      -0.0008416019946892046,
      -0.0009100608547513434,
      -0.0009774998058300571,
      -0.0010439340592378148,
      -0.0011093786095235977,
      -0.0011738480768688656,
      -0.0012373570828225502,
      -0.0012999200529881173,
      -0.0013615509302651039,
      -0.0014222636304381583,
      -0.0014820718358359644,
      -0.001540989004608417,
      -0.0015990284364191133,
      -0.0016562031843538462,
      -0.001712526163827478,
      -0.0017680100503350662,
      -0.0018226673928975665,
      -0.0018765104280413683,
      -0.001929551223249803,
      -0.0019818018323834586,
      -0.002033274044054666,
      -0.002083979459759291,
      -0.002133929431328925,
      -0.002183135251747471,
      -0.002231608046758595,
      -0.0022793586086837544,
      -0.002326397750587372,
      -0.002372736068721163
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566646823181907,
      10.335921235556405,
      10.096932665032906,
      9.852817683015505,
      9.606096985149694,
      9.358973676077857,
      9.113368772360046,
      8.870891225812608,
      8.632806414605975,
      8.400047765324816,
      8.173249427427006,
      7.952767116808117,
      7.738708620040614,
      7.530969324529402,
      7.329269994070747,
      7.133210821354309,
      6.94231488054767,
      6.756065706742485,
      6.573937849361361,
      6.395426433537349,
      6.220064195684081,
      6.0474223926169035,
      5.877126663085995,
      5.708875539150215,
      5.5424428600433755,
      5.377679219344509,
      5.214513109298382,
      5.052955824177286,
      4.893084050130185,
      4.735034242635526,
      4.579014530584383,
      4.425297552157156,
      4.274225723050691,
      4.12618432133234,
      3.981574111539521,
      3.8407942237394233,
      3.7042298686837873,
      3.572243259037678,
      3.445155880474843,
      3.323239302349717,
      3.20671019365398,
      3.095727714674157,
      2.9903914537411187,
      2.8907308439090444,
      2.7967009833353886,
      2.7081935317208727,
      2.625062117312695,
      2.5470999857697096,
      2.4740634765900626,
      2.4057068673706423,
      2.341773184789528,
      2.281968728662303,
      2.225972934707822,
      2.17342656239281,
      2.1239473243943734,
      2.077173590797618,
      2.0327759943251063,
      1.9904517581023493,
      1.9499405198274231,
      1.911024667335125,
      1.8735323417881202,
      1.8373260247817602,
      1.8022913407822139,
      1.7683275673413197,
      1.7353518161704038,
      1.703296678988297,
      1.6721060611645906,
      1.641732447925132,
      1.6121346693938365,
      1.5832762040608792,
      1.5551241701237626,
      1.5276466058193492,
      1.5008126955369419,
      1.4745948891957985,
      1.4489682638596248,
      1.4239099815208793,
      1.3993989389586574,
      1.3754162216327486,
      1.351945202847196,
      1.32896997702409,
      1.3064749969898053,
      1.284445170589536,
      1.262865915525814,
      1.2417231843372374,
      1.221003473705253,
      1.2006939786413924,
      1.1807839208122277,
      1.161263423619051,
      1.1421223544820274,
      1.1233511206444748,
      1.104941425377498,
      1.0868870531229726,
      1.0691817236644516,
      1.0518182097300643,
      1.0347887407357743,
      1.0180852973125423,
      1.0016998017024454,
      0.9856242404492734,
      0.9698507411804959,
      0.9543716192114874,
      0.9391794042119544,
      0.9242668534745304,
      0.909626957125746,
      0.8952529379000027,
      0.881138246858722,
      0.867276558149652,
      0.8536617616677314,
      0.8402879549587712,
      0.8271494355974005,
      0.8142406926151748,
      0.8015563991614342,
      0.7890914043486051,
      0.7768407257138894,
      0.7647995425006979,
      0.7529631886634718,
      0.7413271462733504,
      0.7298870389047963,
      0.7186386260032193,
      0.7075777976519189,
      0.6967005686492862,
      0.6860030734427544,
      0.6754815614825821,
      0.6651323924280903,
      0.6549520319592586,
      0.6449370473150544,
      0.6350840888364464,
      0.625389843691198,
      0.6158510970551286,
      0.6064647455510598,
      0.597227785850206,
      0.5881373055502452,
      0.5791904766666905,
      0.5703845505300187,
      0.5617168533646025,
      0.5531847825906749,
      0.5447858035342703,
      0.5365174468923076,
      0.5283773057202682,
      0.5203630333076786,
      0.5124723409360634,
      0.5047029958908661,
      0.4970528192820894,
      0.48951968447418137,
      0.4821015153234087,
      0.4747962843867679,
      0.4676020146984932,
      0.46051703699738544,
      0.4535395791920652,
      0.44666753711524765,
      0.43989892431785677,
      0.43323185812825926,
      0.42666453710424357,
      0.4201952256924897,
      0.41382224361260833,
      0.40754395823421946,
      0.4013587794989971,
      0.3952651560557464,
      0.3892615725026799,
      0.3833468299676882,
      0.37752022349245357,
      0.37178089192674524,
      0.36612778735627116,
      0.3605597482137839,
      0.35507554712074424,
      0.3496739229219419,
      0.34435379952282785,
      0.3391141987930969,
      0.3339540008325732,
      0.32887179693062357,
      0.3238661203089326,
      0.3189356011555935,
      0.3140789413656439,
      0.3092948976818509,
      0.30458231111340306,
      0.2999401541157515,
      0.29536740117958327,
      0.29086301552831534,
      0.28642597439337,
      0.2820552615276548,
      0.27774986181719535,
      0.2735087669139516,
      0.2693309791534791,
      0.26521551331771936,
      0.26116139849169023,
      0.2571676787885354,
      0.2532335871838008,
      0.2493586546192405,
      0.24554231601308787,
      0.24178389043354204,
      0.23808262481957612,
      0.23443772333342486,
      0.23084836662921912,
      0.22731372472415565,
      0.2238329653539796,
      0.2204052593852167,
      0.21702978466751272,
      0.21370572820187544,
      0.21043228771558178,
      0.2072086062832273,
      0.2040337928055189,
      0.20090700668680694,
      0.19782744835965596,
      0.1947943494562577,
      0.19180696652351287,
      0.18886457661792183,
      0.18596647409077877,
      0.18311196856456016,
      0.18030038350882804,
      0.1775310550167397,
      0.1748033312873733,
      0.17211657179434495,
      0.16947014702318153,
      0.16686343797545639,
      0.16429583594039315,
      0.1617667422741896,
      0.15927556796282327,
      0.15682173368083,
      0.1544046694935164,
      0.15202381456545538,
      0.1496786170777072,
      0.147368534023056,
      0.14509303104488666,
      0.14285158238251972,
      0.14064367072015213,
      0.13846878677378346,
      0.13632642946681683,
      0.1342161055001711,
      0.13213732942851378,
      0.13008962346067454,
      0.12807251723203672,
      0.1260855478540416,
      0.12412825968692405,
      0.12220020412245677,
      0.12030093963595029,
      0.11843003161907807,
      0.11658705230398213,
      0.11477158047384743,
      0.11298320138502571,
      0.11122150677988314,
      0.10948609475498308,
      0.10777656956716915,
      0.10609254166989449,
      0.10443362753423839,
      0.10279944956625918,
      0.10118963599305689,
      0.09960382065395089,
      0.09804164304541516,
      0.0965027481753133,
      0.09498678660114984,
      0.0934934142774008,
      0.0920222923129991,
      0.0905730870200674,
      0.08914546985953424,
      0.08773911725220687,
      0.08635371051478344,
      0.08498893587050113,
      0.08364448425408473,
      0.08232005151495887,
      0.08101533806529652,
      0.07973004867774902,
      0.07846389280762313,
      0.0772165842507178,
      0.07598784106512953,
      0.07477738573705305,
      0.07358494482821507,
      0.07241024917236058,
      0.07125303363526017,
      0.07011303701694076,
      0.06899000210772097,
      0.06788367558707273,
      0.06679380801326577,
      0.06572015371870824,
      0.06466247067457612,
      0.06362052053450871,
      0.06259406844341751,
      0.061582883139120644,
      0.06058673685098619,
      0.0596054052940614,
      0.058638667472846885,
      0.05768630573872991,
      0.05674810571978949,
      0.05582385639687389,
      0.05491334980996494,
      0.05401638111993013,
      0.053132748541693586,
      0.052262253346147806,
      0.051404699714605685,
      0.050559894877627846,
      0.04972764892816616,
      0.04890777484903967,
      0.048100088335162966,
      0.04730440783585734,
      0.046520554505700376,
      0.045748352343739224,
      0.04498762783473358,
      0.04423821017229071,
      0.04349993095146265,
      0.04277262435090867,
      0.042056126990638376,
      0.04135027800933871,
      0.04065491892844243,
      0.039969893646170075,
      0.03929504845031875,
      0.038630231852242264,
      0.037975294579130486,
      0.03733008967971812,
      0.03669447237775061,
      0.03606829997553876,
      0.035451431997333575,
      0.034843730032866116,
      0.03424505777989396,
      0.0336552809512354,
      0.033074267215439906,
      0.03250188627513691,
      0.03193800969559539,
      0.03138251096961602,
      0.03083526559936358,
      0.030296150870947496,
      0.029765045839552376,
      0.0292418313722864,
      0.028726390210682497,
      0.028218606786119454,
      0.027718367264363945,
      0.027225559412203778,
      0.026740072769661505,
      0.02626179848498632,
      0.02579062939814008,
      0.025326459895192225,
      0.024869185934183538,
      0.02441870504519635,
      0.023974916279401286,
      0.023537720144922256,
      0.023107018675451285,
      0.022682715320445336,
      0.022264715063402954,
      0.0218529241644191,
      0.021447250289526227,
      0.02104760253715646,
      0.020653891362091285,
      0.020266028562001676,
      0.019883927313708128,
      0.019507501960526585,
      0.01913666810264504,
      0.01877134269952105,
      0.01841144383334711,
      0.018056890903372813,
      0.017707604399387216,
      0.017363506169015958,
      0.017024519092233046,
      0.016690567275467336,
      0.016361575881413078,
      0.016037471198341785,
      0.015718180548277404,
      0.015403632485765517,
      0.01509375647948373,
      0.014788483189229469,
      0.014487744232345556,
      0.01419147221458726,
      0.013899600821979325,
      0.013612064758251585,
      0.013328799558604991,
      0.013049741731359425,
      0.0127748288272262,
      0.012503999155982808,
      0.012237192117265643,
      0.011974347994571167,
      0.011715407861082069,
      0.01146031373659651,
      0.011209008474500496,
      0.010961435785817385,
      0.010717540304791398,
      0.010477267403262379,
      0.01024056324371314,
      0.010007374803364125,
      0.009777649812445777,
      0.009551336873772645,
      0.009328385241783812,
      0.009108744979805223,
      0.008892366923012837,
      0.00867920260671267,
      0.008469204247686653,
      0.008262324887548201,
      0.008058518278371611,
      0.007857738790407028,
      0.007659941430326694,
      0.00746508182348874,
      0.007273116427934939,
      0.007084002160072798,
      0.00689769667700889,
      0.006714158280596539,
      0.006533345919065864,
      0.006355219070540361,
      0.006179737704661899,
      0.006006862666492434,
      0.005836555172752261,
      0.0056687771813292934,
      0.005503491095700266,
      0.005340659916283693,
      0.0051802471716445525,
      0.005022216832386308,
      0.0048665336470079855,
      0.004713162787341109,
      0.004562069832528055,
      0.004413220977443394,
      0.004266582919416229,
      0.004122122758831609,
      0.003979808105657206,
      0.003839607117601909,
      0.003701488400671256,
      0.003565421019335409,
      0.003431374534369635,
      0.003299318851332659,
      0.0031692244396669374,
      0.003041062204212051,
      0.0029148034979987287,
      0.0027904199907290194,
      0.0026678838631471495,
      0.0025471676466696396,
      0.002428244363824767,
      0.002311087479565686,
      0.0021956706442427245,
      0.0020819679021418357,
      0.001969953882105915,
      0.001859603557888918,
      0.0017508921945564974,
      0.0016437954549126852,
      0.0015382894058263601,
      0.0014343503223100825,
      0.0013319549634938353,
      0.001231080354042781,
      0.0011317039548792253,
      0.0010338034728895036,
      0.0009373569896850764,
      0.000842342913594372,
      0.0007487400477748927,
      0.0006565273860534322,
      0.000565684310286416,
      0.0004761904968223564,
      0.0003880265807348811,
      0.00030117395266090883,
      0.00021561402434530462,
      0.0001313281110794268,
      4.829765096683891e-05,
      -3.3495753419109195e-05,
      -0.00011407043274169278,
      -0.00019344444938393406,
      -0.000271635585615905,
      -0.0003486613243609356,
      -0.0004245390641846325,
      -0.0004992859520941797,
      -0.0005729188365736755,
      -0.0006454543335286817,
      -0.0007169087390650371,
      -0.0007872981568229755,
      -0.0008566385168637276,
      -0.0009249454028593465,
      -0.0009922341830113487,
      -0.0010585200452450068,
      -0.001123817923080482,
      -0.0011881426179226485,
      -0.0012515086662633523,
      -0.0013139302759964662,
      -0.0013754215602297829,
      -0.0014359963574181853,
      -0.0014956682855981893,
      -0.0015544507768211016,
      -0.0016123571425932929,
      -0.0016694004162091393,
      -0.0017255935311502662,
      -0.0017809490919778006,
      -0.001835479589251964,
      -0.0018891973466737015,
      -0.0019421145187481861,
      -0.001994242998337774,
      -0.002045594571785996,
      -0.0020961807358701834,
      -0.0021460129658449683,
      -0.002195102404023478,
      -0.0022434601708906407,
      -0.0022910972051396897,
      -0.0023380242175983844,
      -0.002384251803229314
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566644436300397,
      10.335909981423054,
      10.096906595211456,
      9.852772045190237,
      9.606027993008805,
      9.358878781252253,
      9.113246427120941,
      8.870740735807615,
      8.632628016131802,
      8.399842106158163,
      8.173017248012245,
      7.952509151145254,
      7.738425526324037,
      7.530661378318772,
      7.328937242193025,
      7.132853198540664,
      6.941932291985993,
      6.755658099134156,
      6.573505302449397,
      6.394969161570354,
      6.2195825679804315,
      6.046917051682558,
      5.876598414904475,
      5.708325399755644,
      5.54187211469775,
      5.3770894059236785,
      5.213906042190008,
      5.052333625050483,
      4.892449004374225,
      4.734388893591064,
      4.578361712164424,
      4.424640575513193,
      4.273568504518376,
      4.125530777341691,
      3.9809280971725705,
      3.8401594312956426,
      3.703609905245703,
      3.5716414749559284,
      3.444575234117927,
      3.322682321728269,
      3.2061789526499314,
      3.095223823719161,
      2.98991599258525,
      2.8902843075595963,
      2.7962832254030543,
      2.707803803382814,
      2.6246990367676286,
      2.546761626991384,
      2.473747789104404,
      2.4054116512344965,
      2.341496084171706,
      2.2817072978841497,
      2.2257246728554696,
      2.1731886155708646,
      2.123716850299878,
      2.076947998598044,
      2.0325529409168563,
      1.99022924358617,
      1.949716992054585,
      1.9107989827937888,
      1.873303683958688,
      1.8370938059295605,
      1.8020551419686672,
      1.7680870961847899,
      1.7351068962876721,
      1.7030472165590145,
      1.6718520145617553,
      1.641473801895943,
      1.611871443119581,
      1.583008441997413,
      1.554851934708604,
      1.527369998962191,
      1.5005318289447365,
      1.474309868386575,
      1.4486791900835037,
      1.4236169528162,
      1.3991020622923616,
      1.3751156279440813,
      1.3516410231405325,
      1.3286623267020476,
      1.3061639803139107,
      1.284130883542738,
      1.2625484478880415,
      1.2414026216833804,
      1.2206798976448723,
      1.2003675434230836,
      1.1804548863942055,
      1.160931986119429,
      1.141788667125043,
      1.1230153300836796,
      1.1046038028480656,
      1.0865479815692676,
      1.0688414773522414,
      1.05147698623546,
      1.0344466859987655,
      1.0177425220668261,
      1.0013563936257865,
      0.9852802713886691,
      0.9695062720560929,
      0.9540267037253388,
      0.9388340911638611,
      0.9239211879935624,
      0.9092809821927044,
      0.8949066944849026,
      0.8807917748612203,
      0.8669298963121472,
      0.853314947783739,
      0.8399410261229425,
      0.8268024282935484,
      0.8138936429991385,
      0.8012093424706812,
      0.7887443754220189,
      0.7764937591468574,
      0.7644526723344155,
      0.7526164481673184,
      0.7409805680997307,
      0.7295406554644538,
      0.7182924694759922,
      0.7072318992277177,
      0.6963549592601473,
      0.6856577833929601,
      0.67513662058002,
      0.6647878299544241,
      0.6546078766319594,
      0.6445933275216543,
      0.6347408314624798,
      0.625047073648632,
      0.6155088395469462,
      0.6061230260664269,
      0.5968866294672035,
      0.5877967373258687,
      0.5788505213088152,
      0.5700452323170941,
      0.5613781961348088,
      0.5528468098516193,
      0.5444485382360054,
      0.5361809112434464,
      0.528041521582846,
      0.5200280219239375,
      0.512138123258911,
      0.5043695921455092,
      0.4967202494367667,
      0.4891879682219746,
      0.48177067170249666,
      0.47446633182672715,
      0.467272987387387,
      0.4601890415939251,
      0.45321277787647773,
      0.44634206880522403,
      0.4395748838925863,
      0.4329093111523087,
      0.42634352966319355,
      0.4198757905698374,
      0.4135044046859965,
      0.40722773346276087,
      0.4010441826904183,
      0.3949521982838549,
      0.38895026277400385,
      0.38303727492298906,
      0.3772125351293773,
      0.3714751429524546,
      0.36582402448337265,
      0.3602580009589251,
      0.35477583348506075,
      0.3493762682881051,
      0.3440582450245122,
      0.33882076893471996,
      0.3336627079501298,
      0.32858264456789493,
      0.3235791087873119,
      0.3186507284206479,
      0.31379620383520845,
      0.30901429071657077,
      0.3043038428509898,
      0.2996638329515357,
      0.29509323006942756,
      0.29059099445774694,
      0.2861561020714565,
      0.28178753434994813,
      0.27748427448550816,
      0.27324531311069006,
      0.26906965154850043,
      0.2649563040911774,
      0.260904299484036,
      0.2569126815199543,
      0.2529807039118055,
      0.2491078989019017,
      0.24529369314242813,
      0.24153740008177157,
      0.23783826293771246,
      0.23419548342360266,
      0.23060824045925993,
      0.22707570283040338,
      0.223597037398092,
      0.22017141459554954,
      0.2167980118702809,
      0.21347601595113863,
      0.21020462429389614,
      0.20698297481482547,
      0.2038101761195584,
      0.2006853894283686,
      0.19760781628365637,
      0.1945766891698552,
      0.19159126519255718,
      0.18865082175086162,
      0.18575465350108536,
      0.182902070091507,
      0.1800923949667339,
      0.17732496439768267,
      0.17459912653103218,
      0.17191424084976578,
      0.16926967775053386,
      0.16666481828213453,
      0.16409905383421836,
      0.16157178565507255,
      0.15908242483995869,
      0.1566303919758771,
      0.15421511708493482,
      0.1518360392428415,
      0.14949260658407207,
      0.14718427625579808,
      0.14491051386215123,
      0.142670793720913,
      0.140464598406792,
      0.13829141857273783,
      0.13615075308045582,
      0.13404210872888497,
      0.13196500017127172,
      0.1299189495248035,
      0.1279034865050713,
      0.12591814816963595,
      0.12396247888156488,
      0.12203603016792246,
      0.12013836052395635,
      0.11826903537925325,
      0.11642762683092307,
      0.11461371353775472,
      0.11282688096600213,
      0.11106672091293726,
      0.10933283152136312,
      0.10762481714925416,
      0.1059422881962773,
      0.10428486117246838,
      0.10265215847554805,
      0.10104380828315224,
      0.09945944450891057,
      0.0978987066758026,
      0.09636123996106784,
      0.09484669496154727,
      0.09335472759816069,
      0.09188499903210787,
      0.0904371755735926,
      0.08901092865297552,
      0.08760593474576492,
      0.08622187526446032,
      0.08485843656289789,
      0.08351530964615637,
      0.08219219032315285,
      0.0808887789942355,
      0.07960478061418025,
      0.07833990464602321,
      0.07709386487157761,
      0.07586637949105204,
      0.0746571709393699,
      0.07346596594709029,
      0.0722924953236277,
      0.07113649401635207,
      0.06999770091743343,
      0.0688758588438317,
      0.06777071448084884,
      0.06668201853060038,
      0.06560952525160947,
      0.0645529926668717,
      0.06351218248004242,
      0.06248686000553984,
      0.0614767939970612,
      0.06048175682615063,
      0.059501524279852384,
      0.05853587535801062,
      0.057584592470826625,
      0.056647461356166266,
      0.05572427098385397,
      0.05481481343419922,
      0.05391888392150592,
      0.05303628071458292,
      0.05216680519615704,
      0.05131026166682052,
      0.05046645738878011,
      0.049635202469226807,
      0.048816309945114114,
      0.048009595548171045,
      0.04721487784901825,
      0.046431978113235024,
      0.04566072035825675,
      0.04490093108359099,
      0.044152439494218904,
      0.04341507729459625,
      0.04268867882064485,
      0.04197308075497702,
      0.041268122277519415,
      0.04057364502498461,
      0.03988949288842275,
      0.03921551220695438,
      0.038551551580020736,
      0.03789746175482605,
      0.037253095913257255,
      0.03661830929066941,
      0.03599295932443304,
      0.035376905524200475,
      0.0347700096143441,
      0.03417213534804439,
      0.033583148382561094,
      0.03300291661434735,
      0.03243130970137746,
      0.03186819930540612,
      0.03131345895642047,
      0.03076696420157371,
      0.030228592379841098,
      0.029698222696691184,
      0.029175736152731214,
      0.0286610154794947,
      0.02815394512037087,
      0.027654411281477703,
      0.02716230183664132,
      0.026677506436265916,
      0.026199916202932372,
      0.02572942405005272,
      0.025265924511199408,
      0.02480931357562286,
      0.024359488841297544,
      0.023916349222243945,
      0.02347979538657074,
      0.023049729431101593,
      0.022626054950153292,
      0.022208676880770155,
      0.021797501512153324,
      0.02139243670434272,
      0.020993391559064496,
      0.020600276566385477,
      0.020213003636033323,
      0.019831485904912714,
      0.01945563785508668,
      0.019085375093232857,
      0.01872061466886485,
      0.01836127479400847,
      0.018007274866383063,
      0.01765853544603381,
      0.017314978383064387,
      0.016976526683362376,
      0.0166431044101023,
      0.016314636831672263,
      0.015991050217822007,
      0.015672272046828185,
      0.015358230841976713,
      0.015048856286093794,
      0.014744079021983499,
      0.014443830705015807,
      0.014148044021499868,
      0.013856652577342334,
      0.013569591102201543,
      0.013286795238001081,
      0.013008201661998129,
      0.012733747851065314,
      0.012463372281974076,
      0.012197014368017248,
      0.011934614386895016,
      0.011676113450097201,
      0.011421453615389317,
      0.011170577824999108,
      0.010923429872495501,
      0.010679954335184804,
      0.010440096757412079,
      0.010203803239586785,
      0.009971020837681293,
      0.009741697406292013,
      0.009515781521273164,
      0.009293222513355957,
      0.009073970549373778,
      0.008857976398396666,
      0.008645191690374957,
      0.00843556877087799,
      0.008229060647570603,
      0.008025621041307471,
      0.007825204299910012,
      0.0076277654480673696,
      0.007433260284441836,
      0.0072416453034472375,
      0.0070528774737651945,
      0.006866914463989238,
      0.006683714660852101,
      0.0065032370122011605,
      0.006325441063238226,
      0.0061502869949466325,
      0.005977735544037163,
      0.00580774798253182,
      0.005640286245702858,
      0.005475312737988728,
      0.005312790503740022,
      0.005152683101115821,
      0.004994954688044126,
      0.004839569926067625,
      0.004686494051708918,
      0.00453569265712711,
      0.004387132089532937,
      0.004240778924711154,
      0.0040966003574275465,
      0.00395456404067915,
      0.0038146382007377966,
      0.0036767914550834726,
      0.003540992835443037,
      0.0034072120162513394,
      0.0032754189982573834,
      0.003145584232503894,
      0.003017678644472599,
      0.002891673608778818,
      0.0027675408750399153,
      0.0026452525461356066,
      0.0025247811721991046,
      0.0024060998590952013,
      0.0022891820674683394,
      0.0021740015594542855,
      0.002060532607438645,
      0.0019487495557970079,
      0.00183862733094074,
      0.0017301413046986428,
      0.0016232671975395404,
      0.001517981123353253,
      0.0014142595338814436,
      0.0013120790115825158,
      0.0012114166930042168,
      0.0011122500519422616,
      0.0010145569126691098,
      0.0009183153374188771,
      0.0008235038457998859,
      0.0007301011075222677,
      0.0006380861705730002,
      0.0005474384488638286,
      0.0004581376414062944,
      0.00037016371621500767,
      0.0002834975758598987,
      0.00019812096981160633,
      0.00011401550685454007,
      3.116289458656041e-05,
      -5.045506237667532e-05,
      -0.0001308564958595264,
      -0.00021005942410281031,
      -0.0002880816446462883,
      -0.00036494065149547276,
      -0.0004406537547617507,
      -0.0005152379831234954,
      -0.000588710169848871,
      -0.0006610868533459739,
      -0.0007323843868570353,
      -0.0008026188624830244,
      -0.0008718061299336058,
      -0.0009399617251788174,
      -0.001007101039651865,
      -0.0010732391706042947,
      -0.0011383911012319114,
      -0.0012025716069767134,
      -0.001265795128991405,
      -0.0013280758626576612,
      -0.0013894278769142321,
      -0.0014498651186416077,
      -0.0015094012191692464,
      -0.0015680496307337716,
      -0.0016258235200937447,
      -0.0016827359348702538,
      -0.0017387997017337233,
      -0.0017940275409090117,
      -0.0018484319249114937,
      -0.0019020250958369676,
      -0.001954819145242157,
      -0.0020068259597681142,
      -0.002058057261499353,
      -0.002108524552114095,
      -0.0021582393172376534,
      -0.0022072128423623817,
      -0.0022554561299736662,
      -0.002302980057395389,
      -0.0023497953683849623,
      -0.002395912683737359
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566642053386172,
      10.335898747318732,
      10.096880568246835,
      9.852726481437008,
      9.605959111918294,
      9.358784038174692,
      9.113124279655096,
      8.870590492155069,
      8.632449913430408,
      8.399636793831375,
      8.172785469174512,
      7.952251641502638,
      7.738142942753678,
      7.530353995898801,
      7.328605105079492,
      7.132496238207242,
      6.941550414223256,
      6.755251252625232,
      6.573073568077516,
      6.394512755664148,
      6.219101860900828,
      6.04641268740565,
      5.876071199601687,
      5.707776351267289,
      5.541302518952386,
      5.376500801108479,
      5.213300243372707,
      5.051712752103061,
      4.891815340345182,
      4.733744978943102,
      4.577710377570975,
      4.423985128111784,
      4.272912854047875,
      4.1248788331468855,
      3.9802837056435214,
      3.8395262753937396,
      3.702991583074103,
      3.571041328363875,
      3.4439962130845236,
      3.3221269468536687,
      3.205649290526562,
      3.094721477356579,
      2.9894420346262995,
      2.8898392275643987,
      2.7958668741067427,
      2.707415430254173,
      2.624337259002061,
      2.5464245192552406,
      2.4734333019467387,
      2.4051175860106437,
      2.3412200858989918,
      2.281446922460493,
      2.225477422633578,
      2.1729516404908753,
      2.123487312694382,
      2.0767233115408086,
      2.032330764823614,
      1.990007582989417,
      1.9494942986545958,
      1.910574116389698,
      1.873075830382826,
      1.8368623792866587,
      1.8018197246121608,
      1.7678473963941403,
      1.7348627382372672,
      1.7027985070300247,
      1.6715987183149275,
      1.6412159073513455,
      1.6116089669545253,
      1.5827414274111475,
      1.554580442448801,
      1.527094130033594,
      1.5002516947280264,
      1.4740255745476658,
      1.4483908380849557,
      1.4233246403603943,
      1.3988058967309591,
      1.374815740302052,
      1.3513375441560471,
      1.3283553714114233,
      1.305853652865793,
      1.283817280261795,
      1.262231658789279,
      1.2410827320102666,
      1.2203569889208747,
      1.2000417708674054,
      1.1801265109241459,
      1.1606012041907692,
      1.141455632236587,
      1.1226801888962168,
      1.104266905103759,
      1.0862096822369152,
      1.0685020323799435,
      1.0511365806820234,
      1.0341054575903532,
      1.017400576543505,
      1.0010138147955474,
      0.9849371286997848,
      0.9691626252402767,
      0.9536826057906234,
      0.9384895903000898,
      0.9235763291061684,
      0.9089358075583989,
      0.894561245056421,
      0.8804460903407437,
      0.8665840154186863,
      0.8529689085619294,
      0.8395948657341592,
      0.8264561832047257,
      0.8135473492643224,
      0.8008630358006842,
      0.7883980907374697,
      0.7761475308846271,
      0.764106534593425,
      0.7522704345664378,
      0.7406347115509856,
      0.7291949883443136,
      0.7179470234321832,
      0.706886705714696,
      0.6960100491004851,
      0.6853131872720767,
      0.6747923684645568,
      0.6644439514949884,
      0.6542644009477399,
      0.644250282849658,
      0.6343982444422935,
      0.6247049692565882,
      0.6151672433348921,
      0.6057819634443544,
      0.59654612587076,
      0.5874568176400174,
      0.5785112099965402,
      0.5697065536428055,
      0.5610401740514078,
      0.5525094677284517,
      0.544111898986565,
      0.5358449975231776,
      0.5277063554467384,
      0.5196936249604486,
      0.5118045164382035,
      0.5040367960677227,
      0.4963882842435035,
      0.48885685337481855,
      0.4814404262129128,
      0.4741369744036441,
      0.46694458230776553,
      0.4598617064854505,
      0.45288666057016586,
      0.4460172988238145,
      0.4392515500140141,
      0.4325874747891467,
      0.42602323384370966,
      0.41955706625645645,
      0.41318727470693223,
      0.4069122148592925,
      0.400730288760153,
      0.39463993961467525,
      0.3886396481884803,
      0.38272841079707004,
      0.376905533190345,
      0.37117007575716476,
      0.3655209385357813,
      0.35995692550750447,
      0.35447678653257314,
      0.3490792751066205,
      0.3437633465754331,
      0.33852798981791293,
      0.33337206068699515,
      0.32829413278751096,
      0.32329273275763143,
      0.3183664862635818,
      0.31351409210796616,
      0.30873430503545185,
      0.3040259913315286,
      0.2993881241853662,
      0.29481966707106255,
      0.2903195773630774,
      0.285886829589843,
      0.2815204028802594,
      0.27721927877333863,
      0.2729824466174632,
      0.26880890705535454,
      0.2646976738149375,
      0.26064777520158194,
      0.2566582547146688,
      0.2527283866780784,
      0.248857704673025,
      0.24504562709778024,
      0.24129146190724401,
      0.23759444869842444,
      0.23395378660777785,
      0.230368652794203,
      0.22683821477239735,
      0.22336163867988704,
      0.21993809438776032,
      0.21656675899019243,
      0.21324681894178743,
      0.20997747089051672,
      0.20675784799657407,
      0.20358705909946617,
      0.20046426705357062,
      0.197388674520796,
      0.19435951486079814,
      0.19137604559622268,
      0.18843754445475416,
      0.18554330620565454,
      0.1826926405851074,
      0.17988487117615973,
      0.17711933431127472,
      0.17439537813410416,
      0.17171236210978583,
      0.16906965676099636,
      0.16646664305580952,
      0.16390271222938513,
      0.1613772655865334,
      0.15888971410804878,
      0.1564394783424514,
      0.15402598845042517,
      0.15164868353692593,
      0.149307011732443,
      0.14700043010172192,
      0.14472840427175088,
      0.14249040855422626,
      0.14028592551405006,
      0.1381144458981499,
      0.13597546854340845,
      0.13386850020624214,
      0.1317930554283243,
      0.1297486563934592,
      0.1277348328455206,
      0.1257511218637662,
      0.12379706781963767,
      0.12187222219038837,
      0.1199761434964287,
      0.11810839721631625,
      0.11626855548803924,
      0.11445619718115661,
      0.11267090756435044,
      0.11091227852748613,
      0.10917990821457296,
      0.10747340099526086,
      0.10579236730339996,
      0.10413642366788349,
      0.1025051925341039,
      0.10089830208623107,
      0.0993153863175713,
      0.09775608487237901,
      0.0962200429128791,
      0.09470691097965445,
      0.0932163449976067,
      0.0917480062301866,
      0.09030156112473375,
      0.08887668111858803,
      0.08747304271671351,
      0.08609032739616858,
      0.08472822144515589,
      0.08338641597152834,
      0.08206460674398379,
      0.08076249427198036,
      0.07947978356557196,
      0.07821618415901374,
      0.07697140998539534,
      0.07574517926664087,
      0.0745372144255051,
      0.07334724215220106,
      0.07217499340410459,
      0.07102020319798076,
      0.06988261046793032,
      0.06876195800095133,
      0.06765799261562715,
      0.06657046499302885,
      0.06549912951507288,
      0.06444374433943983,
      0.0634040712081091,
      0.06237987548556515,
      0.061370926032159184,
      0.06037699511580618,
      0.05939785857799652,
      0.05843329556784917,
      0.05748308865092459,
      0.05654702353634214,
      0.055624889210076044,
      0.05471647780701708,
      0.05382158461526083,
      0.05294000806088201,
      0.05207154947521861,
      0.0512160132801632,
      0.05037320677807484,
      0.049542940162267395,
      0.048725026487696416,
      0.04791928158219653,
      0.04712552406402358,
      0.04634357529323609,
      0.04557325935904835,
      0.044814402842056546,
      0.04406683494874362,
      0.04333038750311707,
      0.0426048948017692,
      0.04189019364751919,
      0.041186123303030044,
      0.040492525501710286,
      0.03980924417524909,
      0.039136125721095885,
      0.03847301877005987,
      0.03781977419477918,
      0.03717624522549705,
      0.03654228711983063,
      0.035917757336664816,
      0.035302515638988674,
      0.03469642365181143,
      0.03409934514982686,
      0.033511145923536455,
      0.032931693818471164,
      0.03236085866825276,
      0.03179851228235518,
      0.03124452834674361,
      0.030698782312308798,
      0.030161151563683142,
      0.02963151526481554,
      0.029109754529467145,
      0.02859575223003496,
      0.028089392870807993,
      0.027590562690113465,
      0.02709914969901745,
      0.02661504356153512,
      0.026138135513183284,
      0.025668318444601608,
      0.02520548687063025,
      0.024749536899346166,
      0.02430036617567279,
      0.023857873767081796,
      0.023421960353997018,
      0.02299252810193874,
      0.022569480577619996,
      0.022152722797586073,
      0.021742161270009736,
      0.021337703794186487,
      0.020939259563789208,
      0.02054673919304035,
      0.020160054532128116,
      0.019779118830795472,
      0.01940384655134504,
      0.019034153389875505,
      0.018669956403948716,
      0.01831117384673063,
      0.017957725222194465,
      0.01760953129400982,
      0.017266513857750042,
      0.01692859592448114,
      0.016595701635097576,
      0.01626775629398332,
      0.01594468631156796,
      0.015626419163940586,
      0.015312883528567476,
      0.015004009087293145,
      0.014699726454263326,
      0.01439996733656237,
      0.014104664412665537,
      0.013813751507578607,
      0.013527163282256553,
      0.013244835461068314,
      0.01296670470053878,
      0.01269270862091962,
      0.012422785688645173,
      0.012156875388633064,
      0.011894918056855597,
      0.011636854958140496,
      0.011382628176510985,
      0.011132180585344306,
      0.010885456024087007,
      0.010642399135069387,
      0.010402955490017348,
      0.01016707130648444,
      0.009934693682214382,
      0.009705770495616843,
      0.009480250335107307,
      0.009258082596101237,
      0.009039217549992895,
      0.00882360598337651,
      0.00861119960305229,
      0.008401950693723834,
      0.00819581240801733,
      0.007992738506367265,
      0.0077926833408029925,
      0.0075956021213249274,
      0.007401450530109115,
      0.007210185056430045,
      0.00702176281957759,
      0.00683614148975377,
      0.00665327950366686,
      0.006473135786714434,
      0.00629566994813235,
      0.006120842135237397,
      0.005948613106053179,
      0.005778944240568601,
      0.005611797491060338,
      0.00544713537895773,
      0.005284921108747994,
      0.005125118200709964,
      0.0049676907422765955,
      0.004812603488739926,
      0.004659821661304195,
      0.004509310931386294,
      0.004361037610512526,
      0.004214968428847284,
      0.004071070589126475,
      0.003929311746054503,
      0.0037896600956420904,
      0.003652084396695767,
      0.003516553765339959,
      0.003383037808556292,
      0.0032515064918248373,
      0.0031219304540159956,
      0.0029942806183193226,
      0.002868528301173605,
      0.0027446451821036165,
      0.002622603644286381,
      0.0025023762270316974,
      0.0023839359825454072,
      0.002267256389182601,
      0.002152311291841646,
      0.002039074901118533,
      0.0019275217746852198,
      0.0018176268828061987,
      0.0017093655610517634,
      0.0016027135533855231,
      0.0014976469486652278,
      0.0013941421314787638,
      0.0012921758865348432,
      0.001191725415653656,
      0.0010927681082706622,
      0.0009952816881729702,
      0.0008992444122044442,
      0.0008046346922715671,
      0.0007114313732675268,
      0.0006196135419123728,
      0.0005291605207569561,
      0.00044005213711035206,
      0.00035226840205042554,
      0.00026578957187689133,
      0.00018059664928541015,
      9.667170974730812e-05,
      1.3996775211020586e-05,
      -6.744616752100825e-05,
      -0.0001476750783494992,
      -0.00022670774988463056,
      -0.0003045618456791616,
      -0.00038125484211331726,
      -0.00045680396367830256,
      -0.0005312261868432418,
      -0.0006045382622261209,
      -0.0006767567293956866,
      -0.0007478979820008545,
      -0.0008179780266484004,
      -0.0008870126728830625,
      -0.0009550175189976158,
      -0.0010220078670050545,
      -0.0010879989863508527,
      -0.0011530056393550423,
      -0.0012170425463650355,
      -0.0012801241444255769,
      -0.0013422647524700957,
      -0.0014034783663061808,
      -0.001463778828349713,
      -0.0015231798118847048,
      -0.0015816947093273122,
      -0.0016393367993252756,
      -0.0016961190763335628,
      -0.0017520542633767404,
      -0.0018071550402219048,
      -0.0018614337939602745,
      -0.0019149028077896193,
      -0.001967574283746142,
      -0.0020194600789157665,
      -0.0020705718155073732,
      -0.0021209209710387,
      -0.0021705190063071376,
      -0.0022193771874951017,
      -0.0022675066048290066,
      -0.0023149181083991052,
      -0.00236162235698467,
      -0.002407629846942316
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566639674540957,
      10.335887531108842,
      10.09685457941501,
      9.852680981936862,
      9.605890326491174,
      9.35868942633208,
      9.113002300402997,
      8.87044045585011,
      8.632272058308711,
      8.399431771500844,
      8.172554022889612,
      7.9519945074859,
      7.737860780231893,
      7.530047080751718,
      7.328273466949161,
      7.13213980129719,
      6.941169088536677,
      6.754844989327313,
      6.572642450405244,
      6.3940570012907205,
      6.218621842685642,
      6.045909051923259,
      5.875544755166262,
      5.707228116072354,
      5.540733780560248,
      5.375913098799403,
      5.2126953918438454,
      5.051092872177306,
      4.891182714323157,
      4.733102146399307,
      4.577060167222914,
      4.423330843160432,
      4.272258398847248,
      4.124228111685747,
      3.979640558970789,
      3.8388943806564244,
      3.702374532141099,
      3.570442456717277,
      3.4434184645134502,
      3.321572834136391,
      3.2051208727632012,
      3.0942203514418174,
      2.9889692675679433,
      2.889395303567043,
      2.7954516399347313,
      2.7070281330095884,
      2.6239765136866064,
      2.546088399914602,
      2.4731197591786414,
      2.404824422013534,
      2.3409449460969345,
      2.2811873639153726,
      2.2252309497525458,
      2.172715406327173,
      2.1232584831354817,
      2.0764993037780335,
      2.0321092442782813,
      1.9897865584055816,
      1.9492722260324098,
      1.9103498580322489,
      1.872848574089888,
      1.8366315409154907,
      1.80158488855482,
      1.7676082720781074,
      1.7346191506490016,
      1.7025503635244694,
      1.6713459851547086,
      1.6409585743149737,
      1.6113470503043519,
      1.5824749700888634,
      1.5543095055578477,
      1.5268188146813664,
      1.4999721120922367,
      1.4737418303944372,
      1.4481030336683567,
      1.4230328735761388,
      1.3985102751176441,
      1.3745163948605053,
      1.3510346058457277,
      1.3280489556326942,
      1.3055438638662507,
      1.2835042141482869,
      1.2619154054986266,
      1.2407633769991275,
      1.2200346141652976,
      1.199716531311904,
      1.179798666991408,
      1.1602709524857733,
      1.141123126643864,
      1.1223455760881558,
      1.1039305345612747,
      1.0858719082921358,
      1.0681631113919585,
      1.0507966981005323,
      1.033764750647379,
      1.0170591507683195,
      1.0006717542711987,
      0.9845945029230649,
      0.9688194938153077,
      0.9533390215220765,
      0.9381456011993567,
      0.9232319804328157,
      0.9085911422214568,
      0.8942163036984045,
      0.8801009125804764,
      0.8662386400158838,
      0.852623373267415,
      0.8392492079955749,
      0.8261104396937389,
      0.8132015559547828,
      0.8005172280374776,
      0.788052303652671,
      0.7758017988393512,
      0.763760891450023,
      0.7519249138757519,
      0.7402893461213447,
      0.7288498105392734,
      0.7176020653580982,
      0.7065419989687826,
      0.695665624510181,
      0.6849690750582818,
      0.6744485984727215,
      0.6641005529350847,
      0.6539214027367609,
      0.6439077137179224,
      0.634056131252676,
      0.624363336964025,
      0.6148261171741076,
      0.605441368847205,
      0.5962060880224518,
      0.5871173615884656,
      0.5781723607305637,
      0.5693683355792487,
      0.5607026108965101,
      0.552172582917162,
      0.5437757154795629,
      0.5355095376736773,
      0.5273716410893247,
      0.5193596775694723,
      0.5114713570767317,
      0.5037044453050159,
      0.49605676204109805,
      0.4885261792456165,
      0.48111061929807364,
      0.47380805323874664,
      0.466616612830522,
      0.45953480577704103,
      0.45256097609907653,
      0.4456929598810304,
      0.43892864504635953,
      0.4322660652611019,
      0.425703362938675,
      0.4192387650174109,
      0.41287056561197805,
      0.40659711500724394,
      0.40041681158253645,
      0.39432809570670263,
      0.38832948518840127,
      0.3824200533191465,
      0.37659907212823246,
      0.37086556993738035,
      0.36521842567380947,
      0.3596564291414496,
      0.35417832076551226,
      0.3487828629676027,
      0.34346902727292833,
      0.33823578672113824,
      0.33308198547651363,
      0.3280061888164111,
      0.323006920021704,
      0.31808280258958044,
      0.31323253388650457,
      0.3084548675636832,
      0.3037486826847648,
      0.2991129527607521,
      0.29454663580107626,
      0.29004868637477865,
      0.2856180778227323,
      0.2812537867060844,
      0.27695479294605296,
      0.27272008471841647,
      0.2685486617030085,
      0.2644395372889016,
      0.26039173943987265,
      0.25640431124427626,
      0.2524765477232637,
      0.2486079836670039,
      0.24479802931901798,
      0.24104598708718808,
      0.2373510928564984,
      0.23371254314534992,
      0.23012951355206315,
      0.2266011704700919,
      0.22312667913314516,
      0.2197052088101269,
      0.21633593617646701,
      0.21301804747419742,
      0.2097507364432061,
      0.20653313263462492,
      0.2033643470162616,
      0.20024354390113036,
      0.1971699267837508,
      0.19414272958871515,
      0.19116121027690716,
      0.18822464660821062,
      0.1853323336391661,
      0.18248358136822895,
      0.17967771325998907,
      0.17691406575691102,
      0.1741919869207261,
      0.17151083631735148,
      0.168869984427783,
      0.16626881211811773,
      0.1637067106061837,
      0.16118308123813405,
      0.15869733497318617,
      0.15624889246582893,
      0.15383718370896354,
      0.15146164786765776,
      0.14912173310558738,
      0.14681689632775938,
      0.1445466032336668,
      0.1423103281152053,
      0.14010755347546772,
      0.13793776999503649,
      0.1358004766427995,
      0.13369518016834414,
      0.13162139515191343,
      0.12957864380360848,
      0.1275664558938288,
      0.12558436852212287,
      0.12363192602270925,
      0.12170867994935342,
      0.11981418878370732,
      0.11794801793886182,
      0.11610973960636119,
      0.11429893256759704,
      0.11251518233772766,
      0.11075808075867452,
      0.10902722592428962,
      0.1073222222911967,
      0.10564268042873447,
      0.10398821682071717,
      0.10235845385852232,
      0.10075301983461783,
      0.09917154880956752,
      0.09761368037739827,
      0.09607905971070185,
      0.09456733746525164,
      0.09307816959527834,
      0.0916112173586133,
      0.09016614721927231,
      0.08874263070413235,
      0.08734034440442277,
      0.08595896986155385,
      0.0845981933551296,
      0.08325770598775939,
      0.08193720374864702,
      0.08063638707900245,
      0.07935496107698407,
      0.07809263524137802,
      0.07684912355601789,
      0.07562414427808656,
      0.07441741999006307,
      0.07322867745074318,
      0.07205764753121933,
      0.07090406534418187,
      0.06976766989190016,
      0.06864820415483845,
      0.0675454150611074,
      0.06645905312666474,
      0.06538887290401599,
      0.06433463252932924,
      0.06329609378554592,
      0.062273022038851024,
      0.061265186181906454,
      0.06027235865370132,
      0.05929431541545967,
      0.0583308356214541,
      0.057381701816778256,
      0.05644669986156853,
      0.05552561887408883,
      0.05461825102033329,
      0.0537243916459856,
      0.05284383921659825,
      0.05197639513584154,
      0.05112186382938346,
      0.05028005274472502,
      0.04945077199301541,
      0.04863383473958754,
      0.04782905689276634,
      0.047036257159717904,
      0.0462552569664957,
      0.0454858803884118,
      0.04472795417295413,
      0.043981307607643565,
      0.04324577248029808,
      0.04252118322990489,
      0.04180737673848994,
      0.04110419238414676,
      0.040411471784918274,
      0.03972905910489873,
      0.03905680068943965,
      0.038394545217691985,
      0.03774214366647649,
      0.037099449270580155,
      0.03646631745355957,
      0.0358426057158636,
      0.03522817382678132,
      0.03462288350995991,
      0.034026598661007684,
      0.03343918513148548,
      0.03286051085148913,
      0.032290445641415276,
      0.031728861286157095,
      0.031175631524528645,
      0.03063063197601135,
      0.03009374006200285,
      0.029564835048894386,
      0.02904379810442136,
      0.02853051210666153,
      0.028024861708246616,
      0.027526733216282705,
      0.027036014586834176,
      0.026552595514952856,
      0.026076367467678878,
      0.02560722341865322,
      0.02514505783677639,
      0.024689766871312645,
      0.02424124827017727,
      0.02379940113873997,
      0.02336412618133151,
      0.0229353256115873,
      0.022512903106840256,
      0.022096763825744836,
      0.02168681424030882,
      0.021282962304307457,
      0.0208851171308467,
      0.020493189470158928,
      0.02010709118803015,
      0.019726735633322726,
      0.019352037343036595,
      0.01898291215924379,
      0.018619277115749976,
      0.018261050532830257,
      0.017908151951768626,
      0.017560502080494873,
      0.01721802282622625,
      0.01688063721217781,
      0.01654826952128852,
      0.01622084502480352,
      0.01589829028747853,
      0.015580532803405968,
      0.015267501220617107,
      0.01495912521407806,
      0.01465533554085844,
      0.014356063927676766,
      0.014061243299459776,
      0.013770807439934953,
      0.013484691107344404,
      0.013202830001412619,
      0.012925160790854632,
      0.01265162107516074,
      0.012382149464301228,
      0.012116685471453234,
      0.011855169504745983,
      0.011597542919993011,
      0.011343747771453366,
      0.011093727074537988,
      0.010847424626554004,
      0.010604785155414579,
      0.01036575417908436,
      0.01013027803991965,
      0.009898303961438008,
      0.009669779803065071,
      0.009444654288108752,
      0.009222876802528354,
      0.009004397552770809,
      0.008789167542033523,
      0.008577138403592931,
      0.008368262535251456,
      0.008162493097343881,
      0.007959783765056244,
      0.00776008897934899,
      0.007563364028955096,
      0.007369564779410983,
      0.0071786476400567175,
      0.006990569755421783,
      0.006805288977053712,
      0.006622763608878483,
      0.006442952701877667,
      0.006265815823187308,
      0.006091313311063479,
      0.005919405896356285,
      0.005750054968525748,
      0.005583222551066145,
      0.005418871146270258,
      0.005256963880631951,
      0.005097464372758448,
      0.004940336864267693,
      0.00478554609206881,
      0.004633057328025458,
      0.004482836350934706,
      0.004334849388390478,
      0.004189063207025835,
      0.004045445090004066,
      0.003903962810552181,
      0.003764584549910994,
      0.003627279033296819,
      0.003492015470748248,
      0.0033587634679690596,
      0.00322749306631421,
      0.003098174860202287,
      0.0029707797546842628,
      0.002845279061091409,
      0.002721644677090798,
      0.0025998490335250707,
      0.00247986469366778,
      0.002361664652566795,
      0.002245222434697557,
      0.002130511913583239,
      0.0020175072982770866,
      0.0019061832549500282,
      0.0017965147627002106,
      0.001688477168096825,
      0.0015820462473633628,
      0.0014771981114175652,
      0.0013739093028492415,
      0.0012721566019217884,
      0.0011719170691307115,
      0.0010731681015334995,
      0.0009758877001273024,
      0.0008800540145465791,
      0.0007856454800774718,
      0.0006926409743754283,
      0.0006010195695255936,
      0.0005107606023227104,
      0.00042184398136592573,
      0.0003342496690045738,
      0.0002479579336323152,
      0.00016294948219395795,
      7.920553049221737e-05,
      -3.2916087713936803e-06,
      -8.45595370273191e-05,
      -0.00016461594689673844,
      -0.00024347852641564473,
      -0.0003211648056379952,
      -0.00039769220011298505,
      -0.00047307781848826027,
      -0.000547338618740989,
      -0.0006204912520448271,
      -0.0006925522682158496,
      -0.0007635378815796591,
      -0.0008334641364477109,
      -0.0009023468811311478,
      -0.0009702016391648261,
      -0.0010370437340065147,
      -0.001102888298281023,
      -0.0011677501359414046,
      -0.0012316440539916502,
      -0.001294584405276614,
      -0.0013565854438697424,
      -0.001417661190222659,
      -0.0014778254288687364,
      -0.0015370917880520028,
      -0.0015954736660819197,
      -0.001652984252005403,
      -0.0017096366027611319,
      -0.0017654434210599066,
      -0.0018204173534036032,
      -0.0018745709059478275,
      -0.0019279163156314288,
      -0.0019804656362657513,
      -0.002032230754214225,
      -0.0020832233332374384,
      -0.0021334549428746593,
      -0.0021829369067506584,
      -0.0022316803979121353,
      -0.0022796964508879206,
      -0.0023269958587001666,
      -0.0023735893551359386,
      -0.002419487466143773
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566637299764752,
      10.335876335640153,
      10.096828633284764,
      9.852635553729545,
      9.605821645997612,
      9.358594957428313,
      9.11288050500513,
      8.870290646409341,
      8.632094475873018,
      8.399227067914916,
      8.172322941083252,
      7.951737782330374,
      7.737579068969069,
      7.529740659034423,
      7.327942366037869,
      7.131783944913637,
      6.940788386570393,
      6.7544393936667575,
      6.572212045969064,
      6.393602006899812,
      6.2181426334078544,
      6.045406277045085,
      5.875019223918025,
      5.706680847867085,
      5.54016606326479,
      5.3753264717275915,
      5.212091669124595,
      5.050474172968405,
      4.890551319498722,
      4.732460592940709,
      4.57641128016961,
      4.422677921458895,
      4.271605341741881,
      4.123578816750036,
      3.9789988596304116,
      3.838263947400074,
      3.7017589491818144,
      3.5698450510891853,
      3.4428421721147764,
      3.3210201611637302,
      3.20459387166279,
      3.0937206125220804,
      2.988497853176621,
      2.8889526932495078,
      2.795037676447354,
      2.7066420605733055,
      2.6236169465635326,
      2.545753411290371,
      2.472807299646239,
      2.404532294240049,
      2.340670796362112,
      2.2809287510922283,
      2.224985380757416,
      2.172480038576972,
      2.123030487213352,
      2.0762761012573683,
      2.031888504636467,
      1.9895662941897232,
      1.949050896176436,
      1.9101263283121666,
      1.8726220351595422,
      1.8364014107292321,
      1.8013507522260463,
      1.767369839416418,
      1.7343762473653248,
      1.7023028979848147,
      1.671093923745081,
      1.6407019068598112,
      1.6110857937939835,
      1.5822091679052521,
      1.5540392193609618,
      1.526544145994386,
      1.4996931726707579,
      1.4734587260812186,
      1.4478158658503115,
      1.4227417406922378,
      1.398215284895457,
      1.374217678184825,
      1.3507322937620474,
      1.3277431635226689,
      1.3052346962086412,
      1.283191766868571,
      1.2615997685482365,
      1.2404446358403398,
      1.2197128502610963,
      1.1993918997937532,
      1.1794714294735702,
      1.1599413060909365,
      1.1407912247442291,
      1.1220115656949823,
      1.1035947653274834,
      1.0855347349110183,
      1.0678247895522055,
      1.0504574122605195,
      1.0334246384031585,
      1.0167183176893715,
      1.0003302844106559,
      0.9842524655238893,
      0.9684769485112823,
      0.9529960212262389,
      0.937802194313237,
      0.9228882117685596,
      0.9082470543676027,
      0.893871938120583,
      0.8797563090839915,
      0.8658938373679549,
      0.852278409453786,
      0.8389041202137064,
      0.8257652644384811,
      0.8128563291459298,
      0.8001719853425205,
      0.7877070799869902,
      0.775456628697575,
      0.7634158087196959,
      0.7515799518717825,
      0.7399445379931344,
      0.7285051887543365,
      0.7172576617626589,
      0.706197844864934,
      0.695321750800939,
      0.6846255122578416,
      0.6741053766834837,
      0.6637577015882128,
      0.653578950604049,
      0.6435656888900828,
      0.6337145595316853,
      0.6240222437281662,
      0.6144855280898618,
      0.6051013094824356,
      0.5958665838097748,
      0.5867784377318503,
      0.5778340419014949,
      0.5690306460131614,
      0.5603655746605999,
      0.5518362233831768,
      0.5434400556548616,
      0.5351746001186984,
      0.5270374477010714,
      0.5190262497910849,
      0.5111387158459803,
      0.5033726110474216,
      0.495725754707661,
      0.4881960183952001,
      0.48078132402167645,
      0.4734796465537846,
      0.4662891855677407,
      0.4592084642563421,
      0.452235835697026,
      0.4453691550189444,
      0.43860626738599723,
      0.4319451779921974,
      0.425384010427681,
      0.4189209789010347,
      0.41255436921418115,
      0.4062825257130509,
      0.4001038428822091,
      0.39401675850971435,
      0.38801983996139644,
      0.38211223010292483,
      0.37629315520298523,
      0.3705616137734096,
      0.3649164649815166,
      0.3593564855648235,
      0.35388040718513897,
      0.34848700137334,
      0.3431752565735601,
      0.33794413006220736,
      0.3327924543904052,
      0.327718786251804,
      0.32272164603711817,
      0.31779965504589436,
      0.31295150914107744,
      0.30817596191957625,
      0.30347190467640145,
      0.2988383104695777,
      0.2942741317673077,
      0.2897783210824807,
      0.2853498497528812,
      0.28098769192235057,
      0.27669082604323936,
      0.2724582393050857,
      0.26828893068756904,
      0.26418191274098546,
      0.26013621304488743,
      0.2561508744618634,
      0.2522252124877093,
      0.24835876341981983,
      0.24455092928853073,
      0.24080100692142314,
      0.237108228610478,
      0.23347178837508326,
      0.22989085990198338,
      0.22636460842939987,
      0.22289219846833477,
      0.21947279879012965,
      0.21610558557817972,
      0.212789744839097,
      0.20952446766176014,
      0.20630887990232727,
      0.20314209454598134,
      0.20002327724090657,
      0.1969516324065273,
      0.19392639453522464,
      0.19094682205433358,
      0.18801219301352176,
      0.18512180246763577,
      0.1822749605285963,
      0.17947099081261905,
      0.17670922959568608,
      0.17398902500023844,
      0.17130973672727082,
      0.16867073511047356,
      0.16607140112593435,
      0.16351112590652178,
      0.16098931075957018,
      0.15850536677794766,
      0.15605871450207795,
      0.15364878387412712,
      0.15127501403260138,
      0.14893685306179896,
      0.14663375801368306,
      0.1443651945984973,
      0.1421306369632856,
      0.13992956768464976,
      0.13776147749320067,
      0.135625865314369,
      0.13352223788728823,
      0.13145010978262817,
      0.12940900322027263,
      0.12739844800600553,
      0.1254179812872346,
      0.12346714747743345,
      0.12154549802478089,
      0.11965259138060763,
      0.11778799298332526,
      0.11595127511807242,
      0.11414201665814898,
      0.11235980303097358,
      0.11060422602661153,
      0.10887488389444079,
      0.10717138109163495,
      0.10549332816645848,
      0.10384034169331838,
      0.10221204413876328,
      0.1006080637660298,
      0.09902803460342302,
      0.09747159633692869,
      0.09593839424685661,
      0.09442807897308,
      0.09294030652715753,
      0.09147473819585375,
      0.09003104039897566,
      0.08860888480675119,
      0.08720794799817091,
      0.08582791154983795,
      0.08446846190075322,
      0.08312929016395394,
      0.0818100923234746,
      0.08051056897170238,
      0.07923042512620902,
      0.07796937036162958,
      0.07672711875389389,
      0.075503388605376,
      0.07429790252869,
      0.07311038734851968,
      0.07194057409525788,
      0.07078819777187724,
      0.0696529974216248,
      0.06853471601929087,
      0.06743310058061798,
      0.06634790177088362,
      0.06527887410592263,
      0.06422577588097293,
      0.06318836890340442,
      0.062166418613625915,
      0.06115969400310502,
      0.06016796768574855,
      0.0591910154796338,
      0.05822861663713708,
      0.05728055384596737,
      0.056346612969321315,
      0.055426583065160455,
      0.054520256449328015,
      0.05362742849068022,
      0.05274789771030004,
      0.05188146568280824,
      0.051027936866304524,
      0.05018711867223996,
      0.049358821450837476,
      0.04854285834767563,
      0.04773904541906831,
      0.046947201331926126,
      0.04616714757013318,
      0.04539870826310468,
      0.044641710183512,
      0.04389598274246683,
      0.043161357902503215,
      0.04243767005230765,
      0.04172475612308445,
      0.04102245547602504,
      0.04033060986893744,
      0.03964906345114752,
      0.03897766277384898,
      0.038316256606356465,
      0.03766469602762999,
      0.03702283425637161,
      0.036390526705844,
      0.03576763102787994,
      0.035154006974537695,
      0.03454951639197426,
      0.033954023222448504,
      0.033367393380614396,
      0.032789494822043935,
      0.032220197479522844,
      0.0316593732134035,
      0.031106895884098835,
      0.030562641132714712,
      0.03002648648730858,
      0.029498311259799178,
      0.028977996519698356,
      0.028465425176439445,
      0.027960482037204987,
      0.02746305343306673,
      0.026973027493461334,
      0.026490293963230133,
      0.02601474431221979,
      0.025546271552813835,
      0.025084770215781003,
      0.024630136580126107,
      0.02418226847099752,
      0.023741065171666083,
      0.02330642734106454,
      0.022878257223026954,
      0.022456458607264244,
      0.02204093655448114,
      0.021631597591009213,
      0.0212283497372468,
      0.020831102281025055,
      0.0204397659440395,
      0.02005425272961771,
      0.0196744759151976,
      0.01930035005603027,
      0.01893179110876246,
      0.018568716165552574,
      0.018211043612974025,
      0.017858693047517374,
      0.017511585323143026,
      0.0171696424830316,
      0.016832787587634217,
      0.01650094482657178,
      0.016174039673311293,
      0.015851998580150368,
      0.015534749122781162,
      0.015222220104257358,
      0.014914341199556374,
      0.01461104321435863,
      0.014312258023650333,
      0.014017918361866761,
      0.013727958131801393,
      0.013442312202427715,
      0.013160916382863595,
      0.012883707386682978,
      0.012610622831986681,
      0.01234160137199528,
      0.012076582613539836,
      0.011815506950133888,
      0.011558315646302986,
      0.011304950950744278,
      0.011055356003323684,
      0.0108094746884711,
      0.010567251726696389,
      0.010328632604073934,
      0.010093563727402848,
      0.009861992264794053,
      0.00963386621825851,
      0.009409134315237686,
      0.009187746036400947,
      0.00896965161459482,
      0.008754802081417351,
      0.008543149119560188,
      0.008334645121333658,
      0.008129243243652953,
      0.00792689736405958,
      0.007727562058739424,
      0.007531192462755985,
      0.007337744488026101,
      0.0071471746823184605,
      0.006959440173208381,
      0.0067744987796762,
      0.0065923088849388555,
      0.006412829578240352,
      0.006236020596144582,
      0.006061842221806748,
      0.0058902553008279126,
      0.005721221291213423,
      0.005554702169238109,
      0.0053906605538877345,
      0.005229059515535996,
      0.005069862679117187,
      0.004913034361179028,
      0.004758539334494564,
      0.004606342855164952,
      0.004456410723468684,
      0.004308709276848576,
      0.004163205283097116,
      0.004019866020122055,
      0.003878659306228082,
      0.0037395535394042882,
      0.003602517356806397,
      0.0034675199508500945,
      0.0033345309797827008,
      0.0032035206142330395,
      0.003074459343524759,
      0.002947318197193175,
      0.0028220686820863393,
      0.002698682619730031,
      0.002577132251791372,
      0.0024573902520623764,
      0.0023394297654558034,
      0.002223224283699745,
      0.0021087476618905894,
      0.0019959742386024388,
      0.001884878735215559,
      0.0017754360739038225,
      0.001667621711813822,
      0.0015614113728128895,
      0.001456781181340567,
      0.0013537076259519758,
      0.0012521676196137353,
      0.0011521383581628512,
      0.0010535973007678179,
      0.0009565223169219169,
      0.0008608916057613726,
      0.0007666836105273468,
      0.000673877169404281,
      0.0005824514641517267,
      0.0004923859191991054,
      0.00040366036279003697,
      0.00031625490944904534,
      0.00023014993934273394,
      0.00014532598298733348,
      6.176403290336151e-05,
      -2.0554531257775354e-05,
      -0.00010164724591983835,
      -0.00018153142123925145,
      -0.0002602243552093889,
      -0.00033774334456245116,
      -0.0004141055615655856,
      -0.0004893280706522694,
      -0.0005634278319584512,
      -0.0006364214559347205,
      -0.0007083254661046365,
      -0.0007791560774422843,
      -0.0008489291581968984,
      -0.0009176605787185345,
      -0.0009853658664088847,
      -0.00105206031768062,
      -0.001117758981576668,
      -0.0011824767063776593,
      -0.001246228153114236,
      -0.0013090277513695013,
      -0.0013708897115452944,
      -0.001431828112433066,
      -0.0014918567145675492,
      -0.0015509891225714716,
      -0.0016092386985563205,
      -0.0016666186018880636,
      -0.0017231418409392027,
      -0.0017788211649614194,
      -0.00183366914602754,
      -0.0018876981902814889,
      -0.0019409205992456846,
      -0.001993348331820981,
      -0.0020449933123368198,
      -0.00209586720988176,
      -0.00214598157970043,
      -0.002195347724045485,
      -0.0022439768573453978,
      -0.0022918799469114006,
      -0.002339067736570972,
      -0.0023855510880934545,
      -0.002431340463964708
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566634930379987,
      10.335865348900157,
      10.096803229689503,
      9.852590961303015,
      9.605754063986877,
      9.358501821095109,
      9.112760252415747,
      8.870142567190706,
      8.6319187904754,
      8.39902441141765,
      8.172094044109805,
      7.951483369318743,
      7.737299789247091,
      7.529436779857596,
      7.327613910409042,
      7.131430831495442,
      6.940410523006211,
      6.754036730021893,
      6.571784666087474,
      6.393150131746989,
      6.217666639825848,
      6.0449068162599975,
      5.874497108336624,
      5.70613709764775,
      5.539601965685812,
      5.374743565633001,
      5.211491766654318,
      5.049859389630365,
      4.889923931256352,
      4.731823130189976,
      4.57576655989686,
      4.42202923174277,
      4.270956566777412,
      4.122933838488097,
      3.9783614951328294,
      3.83763784793294,
      3.7011476807322223,
      3.5692519231967927,
      3.4422701026610723,
      3.320471640019362,
      3.20407093701065,
      3.093224842195201,
      2.9880302974004853,
      2.8885138226435108,
      2.794627329449046,
      2.70625947806034,
      2.623260740413253,
      2.545421654832574,
      2.4724979458779943,
      2.404243149277792,
      2.3403995100536212,
      2.280672886520561,
      2.224742450042095,
      2.1722472018521115,
      2.1228049245415046,
      2.076055243185184,
      2.031670029618858,
      1.9893482245952525,
      1.9488316991889827,
      1.9099048763554263,
      1.872397524380333,
      1.8361732636949957,
      1.8011185581137517,
      1.7671333115271726,
      1.734135214004277,
      1.7020572692994385,
      1.67084366854982,
      1.6404470169720637,
      1.6108262877994373,
      1.581945090524357,
      1.5537706329682797,
      1.5262711533634077,
      1.499415886723157,
      1.4731772539871153,
      1.4475303103244737,
      1.4224522006805966,
      1.3979218687707813,
      1.3739205175575129,
      1.3504315201211388,
      1.3274388931173537,
      1.304927033684468,
      1.2828808092387847,
      1.2612856065986873,
      1.2401273556099337,
      1.2193925345949939,
      1.1990687434052416,
      1.179145679919723,
      1.1596131514998422,
      1.1404608131629572,
      1.1216790401788743,
      1.1032604728322255,
      1.0851990279718025,
      1.0674879229951688,
      1.0501195711244993,
      1.033085960016412,
      1.0163789071627773,
      0.999990225397672,
      0.9839118275846223,
      0.9681357914454444,
      0.9526543981627168,
      0.9374601537130609,
      0.922545798954867,
      0.9079043121268873,
      0.8935289075968418,
      0.8794130304596068,
      0.8655503495684409,
      0.8519347506057598,
      0.838560327686861,
      0.825421375133031,
      0.8125123792123322,
      0.7998280101461096,
      0.7873631147761002,
      0.775112708246505,
      0.7630719672690978,
      0.7512362230853259,
      0.739600954956954,
      0.7281617840701212,
      0.7169144674793051,
      0.7058548925292665,
      0.6949790715514876,
      0.6842831364779809,
      0.673763334333171,
      0.6634160222733942,
      0.6532376633076498,
      0.6432248223824435,
      0.6333741398990257,
      0.6236822964408255,
      0.6141460788915001,
      0.6047623840279459,
      0.5955282076026879,
      0.5864406360549757,
      0.5774968396910967,
      0.5686940677771759,
      0.5600296441861814,
      0.5515009641500579,
      0.5431054905546009,
      0.5348407516001603,
      0.5267043378837264,
      0.5186939003689566,
      0.5108071478327368,
      0.5030418451001368,
      0.495395811037327,
      0.487866916569558,
      0.48045308314323765,
      0.47315229082343296,
      0.46596281759426644,
      0.4588831858174324,
      0.45191175256946925,
      0.4450464021255046,
      0.43828493663079504,
      0.4316253328818605,
      0.42506569549154805,
      0.4186042259119962,
      0.4122392015546465,
      0.40596896097792,
      0.39979189454135594,
      0.39370643739965727,
      0.3877112065241583,
      0.38180541442849003,
      0.3759882413379305,
      0.3702586560521618,
      0.364615497922586,
      0.3590575304616631,
      0.3535834768651135,
      0.34819212403920363,
      0.34288246876968254,
      0.3376534533658951,
      0.33250389938801506,
      0.3274323557426542,
      0.32243733969595323,
      0.317517470685962,
      0.312671443229878,
      0.30789801663514427,
      0.3031960911370078,
      0.2985646335131107,
      0.2940025919607349,
      0.28950891765235814,
      0.2850825801120819,
      0.28072255156975234,
      0.276427809064243,
      0.2721973389538963,
      0.2680301395317539,
      0.2639252229923777,
      0.25988161642885355,
      0.25589836241385916,
      0.25197479708269005,
      0.24811045793409814,
      0.24430473884767434,
      0.2405569312855379,
      0.23686626353782136,
      0.23323192732597975,
      0.22965309477756335,
      0.22612892993489475,
      0.22265859644457864,
      0.21924126245124875,
      0.2158761038858271,
      0.21256230637804738,
      0.20929905827513287,
      0.20608548185091785,
      0.2029206921697329,
      0.19980385599718403,
      0.1967341788410396,
      0.19371089578525755,
      0.19073326549317499,
      0.1878005663273084,
      0.184912093592675,
      0.18206715738521279,
      0.17926508143243228,
      0.17650520204462086,
      0.17378686737773347,
      0.1711094370499757,
      0.168472281436799,
      0.1658747814763034,
      0.16331632832932322,
      0.160796323192872,
      0.15831417707551743,
      0.15586931056048112,
      0.15346115370190372,
      0.1510891455647636,
      0.14875273430456443,
      0.14645137688350002,
      0.14418453897022848,
      0.14195169476200165,
      0.13975232679301094,
      0.13758592582979126,
      0.13545199084169565,
      0.13335002863252501,
      0.13127955362255647,
      0.129240088072529,
      0.1272311617019184,
      0.12525231175584164,
      0.12330308256674102,
      0.12138302566609785,
      0.11949169960008055,
      0.11762866993918274,
      0.11579350883232527,
      0.11398579521227918,
      0.11220511448758815,
      0.11045105855488242,
      0.10872322558367216,
      0.10702122004402238,
      0.10534465250089518,
      0.1036931395808472,
      0.10206630383140797,
      0.100463773587782,
      0.0988851829285802,
      0.09733017150453123,
      0.09579838463435035,
      0.09428947305027928,
      0.09280309275822451,
      0.091338905049015,
      0.08989657642602651,
      0.08847577857637018,
      0.08707618806749401,
      0.08569748648031886,
      0.08433936035656157,
      0.08300150092164617,
      0.0816836040656313,
      0.08038537052540833,
      0.07910650544749392,
      0.07784671848210015,
      0.07660572358124244,
      0.07538323926426096,
      0.07417898814217344,
      0.07299269700424853,
      0.07182409691295645,
      0.07067292301555358,
      0.06953891443393229,
      0.06842181427715707,
      0.06732136952213987,
      0.06623733089582158,
      0.0651694529553214,
      0.06411749398512448,
      0.06308121595849811,
      0.06206038437291682,
      0.061054768257425576,
      0.06006414011658363,
      0.05908827605267761,
      0.05812695532241792,
      0.05717996057345244,
      0.056247077819576,
      0.05532809621893052,
      0.05442280817549816,
      0.05353100908360592,
      0.05265249749744977,
      0.0517870750258889,
      0.05093454622621501,
      0.050094718572460825,
      0.04926740244743258,
      0.04845241110774553,
      0.04764956058930201,
      0.046858669687397436,
      0.04607955994038642,
      0.0453120555033608,
      0.04455598329218057,
      0.0438111726801015,
      0.04307745564911701,
      0.04235466678900851,
      0.04164264310886352,
      0.040941224004478485,
      0.04025025126005369,
      0.0395695691163235,
      0.03889902416053033,
      0.03823846518702127,
      0.03758774332092627,
      0.03694671187697565,
      0.03631522641785648,
      0.03569314458558978,
      0.0350803262400303,
      0.03447663332256191,
      0.03388192978842749,
      0.03329608157243214,
      0.03271895676867044,
      0.0321504253383,
      0.03159035917137243,
      0.031038632089262462,
      0.030495119886393744,
      0.029959700226726227,
      0.029432252477774274,
      0.02891265779261481,
      0.02840079922455545,
      0.02789656145446518,
      0.02739983096365902,
      0.02691049588888649,
      0.026428446075055595,
      0.02595357299422936,
      0.02548576977928705,
      0.025024931060438373,
      0.024570953176508724,
      0.024123733896510322,
      0.023683172503330123,
      0.023249169749310624,
      0.02282162797052598,
      0.022400451016172798,
      0.021985544088601223,
      0.02157681370280765,
      0.021174167956900875,
      0.020777516222906262,
      0.02038676927551333,
      0.020001839177994283,
      0.019622639281271014,
      0.019249084221791914,
      0.018881090064211205,
      0.018518573959876616,
      0.018161454286657115,
      0.017809650691836397,
      0.017463083999716748,
      0.017121676194249837,
      0.016785350501095916,
      0.016454031265222095,
      0.016127643933979408,
      0.015806115051290846,
      0.015489372268824807,
      0.015177344316652044,
      0.014869960965672578,
      0.014567153134139513,
      0.014268852699312017,
      0.013974992599459352,
      0.013685506672705967,
      0.013400329798330174,
      0.01311939782583167,
      0.012842647546153049,
      0.012570016698264774,
      0.012301443979342689,
      0.012036869020725057,
      0.01177623223381367,
      0.01151947500257186,
      0.011266539491794804,
      0.011017368840075994,
      0.010771907013198261,
      0.010530098864253632,
      0.010291889948829644,
      0.010057226776143837,
      0.00982605645904517,
      0.009598327091971896,
      0.009373987458092377,
      0.00915298700660757,
      0.008935276080549198,
      0.008720805639216166,
      0.008509527453881394,
      0.00830139403935117,
      0.008096358671240814,
      0.007894375164469267,
      0.007695398080205772,
      0.007499382725487115,
      0.007306284996982726,
      0.007116061386027688,
      0.006928669106969454,
      0.006744066081870685,
      0.00656221074353015,
      0.00638306226676193,
      0.0062065803573504085,
      0.006032725252909131,
      0.005861457865810414,
      0.005692739610767127,
      0.0055265326413072415,
      0.005362799542285019,
      0.0052015034501529086,
      0.005042608111877916,
      0.004886077857248704,
      0.0047318774077694204,
      0.004579972088199951,
      0.0044303277859304244,
      0.0042829108105625615,
      0.004137688016208401,
      0.0039946267287548675,
      0.003853694788990976,
      0.0037148605985949713,
      0.0035780928941340773,
      0.0034433608341273006,
      0.003310634113483544,
      0.0031798829082535403,
      0.0030510777646660867,
      0.0029241898018194552,
      0.002799190528154147,
      0.002676051793379354,
      0.0025547458177739043,
      0.0024352454012823792,
      0.0023175236895049663,
      0.0022015542527536835,
      0.0020873108805040514,
      0.0019747679556910143,
      0.0018639002012220847,
      0.0017546825873796653,
      0.0016470905896660921,
      0.0015410999907885363,
      0.0014366869700680668,
      0.0013338280543517007,
      0.0012325000641819517,
      0.0011326802135610738,
      0.0010343461222952998,
      0.0009374756645386718,
      0.0008420470026660996,
      0.0007480387498790526,
      0.0006554296378648885,
      0.000564198923360985,
      0.0004743261221651597,
      0.00038579099859251446,
      0.0002985736451249813,
      0.00021265446796880694,
      0.00012801412275390315,
      4.463352764955674e-05,
      -3.750604615405584e-05,
      -0.0001184230352666022,
      -0.0001981347532742273,
      -0.0002766580565028727,
      -0.000354009912851913,
      -0.0004302074237894412,
      -0.0005052674588096208,
      -0.000579206848913777,
      -0.0006520421412522645,
      -0.0007237897210922617,
      -0.0007944658253437496,
      -0.0008640862882312836,
      -0.0009326669089036402,
      -0.0010002232142610158,
      -0.0010667705392189287,
      -0.0011323239151008987,
      -0.0011968981349232363,
      -0.0012605078496854326,
      -0.0013231674351007457,
      -0.0013848911053471482,
      -0.001445692803242105,
      -0.0015055863887361335,
      -0.001564585368926319,
      -0.0016227031674205417,
      -0.0016799527697119983,
      -0.0017363471814244762,
      -0.0017918992631678434,
      -0.0018466215517491066,
      -0.0019005264623516605,
      -0.0019536262861875476,
      -0.0020059330034422353,
      -0.002057458483175444,
      -0.0021082143133515172,
      -0.0021582120437326365,
      -0.00220746297016359,
      -0.002255978198378178,
      -0.0023037686618056683,
      -0.0023508453810202473,
      -0.0023972189470434072,
      -0.0024428999002585406
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566632567505637,
      10.335854449829867,
      10.096778049599937,
      9.852546583917958,
      9.605686719455186,
      9.358408969750862,
      9.112640351716374,
      8.869994924560078,
      8.631743642544835,
      8.398822405345404,
      8.171865917723514,
      7.951229854632875,
      7.737021540556878,
      7.529134068722312,
      7.327286763302821,
      7.131079168336371,
      6.940034251936717,
      6.7536358037775654,
      6.571359188397178,
      6.392700321887891,
      6.217192874199149,
      6.0444097461557185,
      5.873977545767118,
      5.705596063662695,
      5.539040747890135,
      5.3741637007072915,
      5.210895064106146,
      5.0492479605844665,
      4.889300046617058,
      4.731189313080923,
      4.575125617350745,
      4.421384438395038,
      4.270311790283742,
      4.122292942768965,
      3.9777282791273216,
      3.8370159453660864,
      3.70054063822799,
      3.568663030431634,
      3.4417022591273856,
      3.319927317818522,
      3.203552157840002,
      3.092733168722447,
      2.9875667671266535,
      2.888078894534378,
      2.794220830758903,
      2.705880642576785,
      2.622908175754519,
      2.545093432355313,
      2.4721920168848137,
      2.403957320784961,
      2.3401314337268184,
      2.2804201277476825,
      2.2245025150792976,
      2.1720172335356858,
      2.1225821170141543,
      2.07583704007689,
      2.0314541223537175,
      1.9891326464669792,
      1.9486149277817184,
      1.9096857922287116,
      1.872175329741234,
      1.8359473866143095,
      1.8008885921270472,
      1.7668989731252012,
      1.7338963340772078,
      1.7018137603127343,
      1.670595500538508,
      1.6401941830315467,
      1.6105688077350826,
      1.5816830103065227,
      1.5535040161883662,
      1.526000103967048,
      1.49914051885036,
      1.4728976759606485,
      1.44724662639442,
      1.4221645106848722,
      1.3976302816276909,
      1.3736251656789409,
      1.3501325357918126,
      1.3271363926571222,
      1.3046211224001503,
      1.2825715842189471,
      1.2609731590276798,
      1.2398117717840493,
      1.2190738971140582,
      1.198747278434301,
      1.1788216250890102,
      1.1592866887505389,
      1.140132086400772,
      1.1213482078500594,
      1.1029278887140945,
      1.0848650338019188,
      1.0671527661735114,
      1.0497834309407437,
      1.0327489702211738,
      1.0160411717557016,
      0.9996518273971726,
      0.9835728357754927,
      0.9677962651645272,
      0.9523143903328682,
      0.9371197127399938,
      0.9222049698966863,
      0.9075631384105906,
      0.8931874307915604,
      0.8790712905475568,
      0.8652083858672691,
      0.851592601715722,
      0.8382180313276263,
      0.825078968327493,
      0.8121698984612804,
      0.7994854916970536,
      0.7870205938667812,
      0.774770219686695,
      0.7627295454796573,
      0.7508939021048574,
      0.7392587682115058,
      0.7278197644136212,
      0.7165726471754628,
      0.705513303351834,
      0.694637744825951,
      0.6839421029881162,
      0.6734226241176352,
      0.6630756648975695,
      0.6528976879239583,
      0.6428852575033956,
      0.6330350118904633,
      0.6233436310552762,
      0.6138079017752427,
      0.604424721019237,
      0.5951910842608908,
      0.5861040775651806,
      0.5771608710164333,
      0.5683587133471021,
      0.5596949281883302,
      0.5511669102050368,
      0.5427721219697788,
      0.5345080911590419,
      0.5263724077052158,
      0.5183627219630761,
      0.5104767423788558,
      0.502712233260847,
      0.4950670129446054,
      0.4875389519578733,
      0.48012597101797344,
      0.4728260619196116,
      0.4656375743991656,
      0.45855902819293876,
      0.45158878511807016,
      0.44472475923125365,
      0.4379647096048389,
      0.4313065850137966,
      0.4247484712646852,
      0.4182885572491031,
      0.41192511164982043,
      0.405656467406871,
      0.39948101092339533,
      0.39339717463484414,
      0.387403642315787,
      0.38149967214986585,
      0.3756844010747182,
      0.36995676941238426,
      0.36431559777006617,
      0.35875963729710614,
      0.3532876026911577,
      0.3478983039745803,
      0.34259073599265377,
      0.3373638274410084,
      0.3322163897486393,
      0.3271469644069897,
      0.3221540658876882,
      0.31723631176459083,
      0.3123923953190618,
      0.30762108200839766,
      0.30292128106555627,
      0.29829195271462483,
      0.2937320409644589,
      0.2892404957801951,
      0.284816284839508,
      0.28045837851470234,
      0.27616575242440006,
      0.2719373917836727,
      0.2677722943057419,
      0.2636694718208575,
      0.2596279511175698,
      0.25564677453358975,
      0.25172529856762116,
      0.24786306205051287,
      0.24405945075243837,
      0.2403137506710403,
      0.23662518647894557,
      0.23299294732304357,
      0.22941620359744905,
      0.22589411824027092,
      0.2224258540107519,
      0.21901057861987014,
      0.21564746758289655,
      0.21233570621838294,
      0.20907448017198554,
      0.20586290799749707,
      0.20270010682750356,
      0.19958524500428448,
      0.1965175288210039,
      0.19349619387977474,
      0.19052049928613277,
      0.18758972357894105,
      0.18470316218983432,
      0.18186012536719948,
      0.1790599368259543,
      0.17630193287620077,
      0.17358546172339023,
      0.1709098830076809,
      0.16827456705398952,
      0.1656788947591206,
      0.163122257365794,
      0.16060405605907194,
      0.1581237018812416,
      0.15568061534174438,
      0.15327422640786403,
      0.15090397411394918,
      0.14856930662114184,
      0.1462696809395151,
      0.14400456273189513,
      0.14177342619313038,
      0.13957575392752947,
      0.1374110367363454,
      0.13527877330131144,
      0.13317847045122574,
      0.13110964279051898,
      0.12907181253612654,
      0.12706450946562037,
      0.12508727076758694,
      0.12313964081954254,
      0.12122117119090266,
      0.1193314204839955,
      0.11746995418459007,
      0.1156363444255404,
      0.11383017014059404,
      0.11205101688993713,
      0.11029847659267447,
      0.1085721474706096,
      0.10687163399336289,
      0.10519654675490794,
      0.10354650240831194,
      0.10192112351257011,
      0.10032003837974336,
      0.09874288113890978,
      0.09718929148825455,
      0.0956589147081375,
      0.09415140162308516,
      0.09266640832159913,
      0.09120359614246075,
      0.08976263162144892,
      0.08834318645598903,
      0.08694493736715,
      0.0855675659979188,
      0.08421075887329414,
      0.08287420728817235,
      0.08155760724442168,
      0.08026065940388473,
      0.07898306889264473,
      0.07772454536962989,
      0.076484803053596,
      0.07526356034673203,
      0.07406053994420281,
      0.0728754687552812,
      0.07170807792877579,
      0.07055810263295566,
      0.06942528192644236,
      0.06830935893587174,
      0.06721008076823647,
      0.06612719831085806,
      0.06506046607021214,
      0.06400964248878664,
      0.06297448958926827,
      0.06195477283515262,
      0.06095026133534971,
      0.059960727673614427,
      0.058985947948595734,
      0.0580257015275628,
      0.05707977116870661,
      0.05614794286962132,
      0.055230005886997925,
      0.054325752622338554,
      0.053434978595429505,
      0.052557482372319705,
      0.05169306570217447,
      0.05084153315686582,
      0.05000269229661916,
      0.049176353611401165,
      0.04836233040362813,
      0.047560438706634255,
      0.04677049737897024,
      0.04599232796780533,
      0.04522575483041356,
      0.04447060489098311,
      0.04372670764266386,
      0.04299389515309148,
      0.042272001961708126,
      0.041560865113931846,
      0.04086032417959801,
      0.04017022102917493,
      0.03949039996626502,
      0.0388207075189777,
      0.038160992599172,
      0.03751110640723871,
      0.0368709023103191,
      0.036240235884733324,
      0.0356189648970391,
      0.03500694918539198,
      0.03440405082529493,
      0.033810133811167944,
      0.03322506427343495,
      0.032648710121279644,
      0.032080941548417445,
      0.031521630532543726,
      0.03097065098463366,
      0.030427878638101685,
      0.029893191129739774,
      0.02936646807522595,
      0.028847590681215163,
      0.0283364420576416,
      0.027832907002530195,
      0.02733687195891204,
      0.026848225168613224,
      0.02636685649637405,
      0.025892657393740415,
      0.025425521059472996,
      0.024965342314729924,
      0.02451201745232167,
      0.024065444301714922,
      0.023625522331993387,
      0.023192152334597486,
      0.022765236626942773,
      0.022344679153382573,
      0.02193038523653915,
      0.021522261473684825,
      0.02112021591208786,
      0.0207241579623525,
      0.02033399839357426,
      0.01994964943564979,
      0.01957102447981164,
      0.019198038261341994,
      0.01883060677991228,
      0.01846864725683375,
      0.018112078065171,
      0.01776081893804147,
      0.017414790870234544,
      0.017073915916854643,
      0.01673811728862398,
      0.01640731947729963,
      0.016081447895978332,
      0.015760429197577572,
      0.015444191088990082,
      0.015132662372213595,
      0.014825772913361384,
      0.014523453609462743,
      0.014225636263692115,
      0.013932253928879357,
      0.013643240587696644,
      0.01335853102111105,
      0.013078061137800998,
      0.012801767849997451,
      0.012529589023399793,
      0.012261463309919436,
      0.01199733039675484,
      0.011737130788959042,
      0.011480805900655663,
      0.011228298053992584,
      0.010979550310409697,
      0.010734506673381482,
      0.010493112059700944,
      0.010255312019709785,
      0.010021053032558156,
      0.009790282487259822,
      0.009562948399753517,
      0.009338999558965782,
      0.00911838545940338,
      0.008901056510317123,
      0.00868696377715466,
      0.008476059006163323,
      0.0082682948548431,
      0.008063624527966674,
      0.007862001829331694,
      0.007663381515101112,
      0.0074677188678071525,
      0.00727496983915791,
      0.007085090959868474,
      0.006898039467989004,
      0.006713773287465017,
      0.006532250971151733,
      0.006353431658890382,
      0.0061772751654804595,
      0.0060037417973933275,
      0.005832792381351986,
      0.005664388594323075,
      0.005498492431213611,
      0.00533506662195945,
      0.005174074345284058,
      0.005015479325804949,
      0.0048592458891186605,
      0.004705338897821873,
      0.004553723696432878,
      0.00440436614715611,
      0.004257232591206059,
      0.0041122899330058756,
      0.003969505554841995,
      0.003828847386072349,
      0.0036902837645201594,
      0.003553783439264858,
      0.003419315645316835,
      0.0032868501036110655,
      0.003156357048554411,
      0.003027807111230192,
      0.002901171280319692,
      0.002776421049040286,
      0.002653528436858501,
      0.0025324658352527227,
      0.0024132059309484835,
      0.00229572192961221,
      0.002179987355128155,
      0.0020659761430040008,
      0.001953662614270128,
      0.0018430215019477644,
      0.0017340278645947868,
      0.001626657172808833,
      0.0015208852766545066,
      0.0014166884125393323,
      0.001314043179943374,
      0.0012129263413629802,
      0.0011133151700852518,
      0.0010151872209989935,
      0.0009185203823341774,
      0.0008232929352752031,
      0.000729483532350102,
      0.0006370710561454931,
      0.0005460346894189849,
      0.00045635387756169275,
      0.00036800845170897157,
      0.0002809785176261352,
      0.00019524446666622396,
      0.00011078699419800515,
      2.7587163941910278e-05,
      -5.437381298286728e-05,
      -0.0001351143016653957,
      -0.00021465247471557703,
      -0.000293005626840593,
      -0.00037019036948922644,
      -0.0004462233261661883,
      -0.0005211212800950284,
      -0.0005949008077197036,
      -0.000667578369287348,
      -0.000739170150682609,
      -0.0008096923178560105,
      -0.0008791608895316063,
      -0.0009475914754461888,
      -0.0010149996242374325,
      -0.0010814005217304377,
      -0.0011468092540879696,
      -0.0012112406316547636,
      -0.0012747091963397643,
      -0.0013372294121988442,
      -0.0013988154676889887,
      -0.0014594813124195866,
      -0.0015192405720238211,
      -0.0015781068115617008,
      -0.0016360934104792011,
      -0.0016932134689381447,
      -0.0017494799865486097,
      -0.0018049056715532998,
      -0.001859503130733224,
      -0.001913284728035518,
      -0.0019662626140676104,
      -0.0020184488374305866,
      -0.0020698552266019735,
      -0.002120493468188638,
      -0.002170375038222164,
      -0.0022195111963952594,
      -0.0022679130240182404,
      -0.0023155915945921018,
      -0.002362557661087354,
      -0.002408821882671397,
      -0.002454394841103262
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566630215414166,
      10.335843603020999,
      10.096752994950604,
      9.852502397126722,
      9.60561965282338,
      9.358316503316043,
      9.11252095845557,
      8.869847923015488,
      8.631569276388934,
      8.398621326693167,
      8.17163886983015,
      7.950977571428838,
      7.736744679276458,
      7.528832901124455,
      7.326961316195757,
      7.130729364230068,
      6.939660001404843,
      6.753237059744725,
      6.570936074812728,
      6.392253057574937,
      6.216721835155446,
      6.043915585782976,
      5.873461077249279,
      5.705058307723275,
      5.538482990427932,
      5.373587476369806,
      5.21030217890374,
      5.048640520053142,
      4.888680315769415,
      4.730559808086769,
      4.5744891359185536,
      4.420744242947299,
      4.269671732541091,
      4.12165686819833,
      3.9770999649749794,
      3.8363990027615866,
      3.699938590895598,
      3.568079146526564,
      3.4411394161686863,
      3.3193879668217625,
      3.2030383007279655,
      3.0922463497943764,
      2.9871080075827754,
      2.8876486390067924,
      2.7938188970263202,
      2.705506257649683,
      2.622559942126042,
      2.544769418338562,
      2.471890173363805,
      2.4036754554808013,
      2.339867200872371,
      2.2801710964418747,
      2.2242661558906316,
      2.17179065447405,
      2.1223625396692873,
      2.0756219315502897,
      2.0312411958083145,
      1.9889199547517629,
      1.9484009633686272,
      1.9094694473860265,
      1.8719558160719552,
      1.8357241392569923,
      1.8006612100359498,
      1.7666671774484883,
      1.7336599589924215,
      1.7015727208433509,
      1.6703497695979426,
      1.6399437559307848,
      1.610313706122136,
      1.5814232817090936,
      1.5532397257112003,
      1.5257313572672662,
      1.49886743130516,
      1.4726203561873707,
      1.446965178086658,
      1.4218790342973466,
      1.3973408870455126,
      1.3733319858591895,
      1.349835703642887,
      1.326836025549278,
      1.3043173262450531,
      1.2822644565625907,
      1.2606627913064168,
      1.2394982510972707,
      1.2187573069006676,
      1.1984278457801771,
      1.1784995881129843,
      1.1589622297001319,
      1.1398053491985924,
      1.1210194475071527,
      1.1025975040751128,
      1.084533316293445,
      1.0668199297474446,
      1.0494496328529395,
      1.0324143297460167,
      1.0157057824338092,
      0.9993157657812062,
      0.9832361668886008,
      0.9674590461030295,
      0.951976672730712,
      0.936781544148989,
      0.9218663955601577,
      0.9072242010927419,
      0.892848171918181,
      0.8787317507269244,
      0.8648686046391789,
      0.8512526174443469,
      0.8378778818983246,
      0.824738691479814,
      0.8118295312501375,
      0.7991450703009529,
      0.7866801540993137,
      0.7744297967371983,
      0.7623891739003369,
      0.750553615865056,
      0.738918600870832,
      0.7274797489315219,
      0.7162328163228749,
      0.7051736893525595,
      0.6942983792190135,
      0.6836030167105441,
      0.673083847884757,
      0.6627372287871592,
      0.652559621309289,
      0.6425475891556749,
      0.6326977681398542,
      0.6230068376275055,
      0.613471584882329,
      0.6040889065125334,
      0.5948557978965234,
      0.5857693448568949,
      0.5768267169802542,
      0.5680251627731886,
      0.5593620051692946,
      0.5508346384966504,
      0.5424405248107976,
      0.5341771911861252,
      0.5260422272686492,
      0.5180332828765087,
      0.5101480659172241,
      0.5023843402031916,
      0.49473992355926943,
      0.4872126860581435,
      0.4798005480377485,
      0.47250154867074884,
      0.4653140894277262,
      0.45823665276834435,
      0.45126760485361267,
      0.44440489765208685,
      0.437646257062896,
      0.43098960404266207,
      0.4244330057916595,
      0.4179746386344601,
      0.4116127628977123,
      0.40534570594340796,
      0.39917185023189977,
      0.39308962551748805,
      0.387097812017177,
      0.3811956727950533,
      0.37538230568412323,
      0.3696566250725328,
      0.3640174342562781,
      0.3584634730355622,
      0.3529934485650898,
      0.34760619429777057,
      0.3423007034621522,
      0.3370758913469187,
      0.3319305593659964,
      0.3268632417486511,
      0.3218724503629627,
      0.31695680098254225,
      0.31211498534820376,
      0.30734577501612503,
      0.3026480881014717,
      0.29802087855241394,
      0.29346308621212475,
      0.28897365987376455,
      0.2845515654553152,
      0.28019577126570533,
      0.27590525155149564,
      0.27167899077593016,
      0.26751598599430443,
      0.26341524845562564,
      0.2593758044908939,
      0.25539670178391205,
      0.2514773144214869,
      0.24761717674494554,
      0.24381566746384387,
      0.24007206775821754,
      0.23638559908297474,
      0.23275544844466023,
      0.22918078475770604,
      0.22566076982889907,
      0.22219456576867577,
      0.21878133972371,
      0.21542026691676447,
      0.212110532477814,
      0.20885131930832657,
      0.20564174230079704,
      0.20248092079150581,
      0.1993680243903522,
      0.19630226026094516,
      0.19328286459531374,
      0.19030909689882258,
      0.18738023603503637,
      0.18449557746916148,
      0.181654431560569,
      0.17885612211005766,
      0.17609998548810135,
      0.1733853698960012,
      0.17071163477767184,
      0.16807815056448652,
      0.1654842981290676,
      0.16292946868610642,
      0.16041306339421318,
      0.15793449325101,
      0.1554931788296437,
      0.15308855003996713,
      0.15072004607434736,
      0.14838711494549367,
      0.14608921364043587,
      0.14382580780919535,
      0.141596371547761,
      0.13940038752312917,
      0.1372373465442689,
      0.1351067474741877,
      0.1330080970703428,
      0.13094090994398816,
      0.1289047082242206,
      0.1268990217730446,
      0.12492338776834463,
      0.1229773506340296,
      0.12106046186491971,
      0.11917228008345318,
      0.11731237078790134,
      0.11548030623697186,
      0.113675665272793,
      0.11189803345141063,
      0.11014700278117913,
      0.108422171412141,
      0.10672314393065696,
      0.1050495309371238,
      0.1034009491460114,
      0.10177702114981123,
      0.10017737532349368,
      0.09860164581836907,
      0.09704947242237699,
      0.0955205004079522,
      0.09401438046821549,
      0.09253076880526603,
      0.09106932684290876,
      0.08962972120560699,
      0.088211623594188,
      0.08681471076861572,
      0.08543866440811342,
      0.08408317103936289,
      0.08274792208356278,
      0.08143261355161535,
      0.08013694604834007,
      0.07886062484364767,
      0.07760335972506488,
      0.0763648647451991,
      0.0751448584111388,
      0.07394306355195532,
      0.07275920720904772,
      0.0715930204580191,
      0.07044423852564018,
      0.06931260070536992,
      0.06819785012856074,
      0.0670997338869299,
      0.06601800292104122,
      0.06495241179622624,
      0.06390271890471035,
      0.06286868632571463,
      0.06185007971844661,
      0.06084666823431778,
      0.059858224626948627,
      0.05888452485969099,
      0.05792534838082596,
      0.05698047801676905,
      0.056049699865643086,
      0.05513280316437056,
      0.05422958053700502,
      0.05333982745360112,
      0.05246334267349422,
      0.05159992782910605,
      0.05074938765069575,
      0.049911529718667774,
      0.049086164507033334,
      0.04827310541871909,
      0.04747216864062858,
      0.04668317312419652,
      0.045905940487057074,
      0.045140295096642157,
      0.044386063865388105,
      0.043643076367071536,
      0.04291116480132029,
      0.042190163744928434,
      0.041479910297911746,
      0.04078024392982706,
      0.04009100666955113,
      0.039412042939012897,
      0.03874319934830841,
      0.03808432489683806,
      0.03743527076674271,
      0.03679589045563783,
      0.03616603964145762,
      0.03554557615118415,
      0.03493435992503873,
      0.034332252969516926,
      0.03373911941409629,
      0.03315482539460788,
      0.032579238944501904,
      0.03201223020496324,
      0.03145367129330989,
      0.030903436147199388,
      0.030361400643216577,
      0.02982744249355918,
      0.029301441277584543,
      0.028783278187310066,
      0.028272836447627153,
      0.027770000961642748,
      0.027274658261673513,
      0.026786696657218053,
      0.026306006027178225,
      0.02583247794924521,
      0.025366005676643634,
      0.02490648406401303,
      0.024453809442465863,
      0.02400787979289287,
      0.023568594563059993,
      0.023135854643205077,
      0.02270956246145149,
      0.022289621862779684,
      0.0218759381909048,
      0.02146841816555563,
      0.021066969988193587,
      0.02067150312234725,
      0.020281928333641897,
      0.01989815783657736,
      0.019520105173258542,
      0.019147685097427945,
      0.018780813660468604,
      0.018419408187862855,
      0.01806338724154387,
      0.017712670599816193,
      0.01736717919757044,
      0.017026835083504884,
      0.01669156154732849,
      0.016361283035398154,
      0.016035925134543785,
      0.015715414502991253,
      0.015399678996480664,
      0.01508864727078022,
      0.014782249291134954,
      0.014480416051036891,
      0.014183079473573978,
      0.013890172666208065,
      0.013601629639223399,
      0.01331738531438055,
      0.013037375638752815,
      0.01276153744138295,
      0.012489808618324667,
      0.012222127838103952,
      0.011958434937505927,
      0.011698670418191072,
      0.011442775830633254,
      0.011190693512823946,
      0.010942366650597139,
      0.01069773914368188,
      0.010456755939092668,
      0.01021936280869534,
      0.009985506257655529,
      0.009755133549717115,
      0.009528192792903338,
      0.009304632825098628,
      0.00908440326785369,
      0.008867454519344243,
      0.008653737680716188,
      0.008443204676059846,
      0.008235808063650376,
      0.008031501129717799,
      0.007830237794100983,
      0.007631972741335845,
      0.007436661369903303,
      0.00724425960462122,
      0.007054724086147168,
      0.006868012070982512,
      0.0066840814734458335,
      0.006502890853293138,
      0.006324399386661206,
      0.006148566960314962,
      0.005975353899658619,
      0.00580472125842012,
      0.005636630493976445,
      0.0054710437805052855,
      0.0053079238540956735,
      0.0051472339937405735,
      0.004988937985330285,
      0.004833000170565829,
      0.004679385351270458,
      0.004528058937516596,
      0.004378986818345897,
      0.004232135386843095,
      0.0040874715863451535,
      0.0039449627743546765,
      0.0038045769124535355,
      0.0036662824277500718,
      0.0035300480254019002,
      0.003395843081177994,
      0.003263637387420973,
      0.0031334010918567215,
      0.0030051049429712785,
      0.0028787200605811087,
      0.002754217899056532,
      0.0026315704658541527,
      0.002510750141588842,
      0.0023917296672184645,
      0.0022744821770240937,
      0.002158981258325435,
      0.002045201038746227,
      0.0019331157919805378,
      0.0018227002758310848,
      0.0017139295884257325,
      0.0016067792487552055,
      0.0015012251258997827,
      0.0013972434587994705,
      0.001294810763051178,
      0.0011939039613423242,
      0.001094500381875958,
      0.0009965776120864772,
      0.0009001135379325812,
      0.0008050865051206892,
      0.0007114750941533296,
      0.0006192582017325573,
      0.0005284150595449876,
      0.00043892518462715065,
      0.00035076845800502133,
      0.0002639248993034805,
      0.0001783750018501989,
      9.409955430916902e-05,
      1.1079647921176611e-05,
      -7.070351221504389e-05,
      -0.00015126836277890157,
      -0.0002306330992996006,
      -0.0003088155756720412,
      -0.00038583308827173517,
      -0.0004617018966385529,
      -0.0005364382223091432,
      -0.0006100584970661322,
      -0.0006825789821222032,
      -0.0007540158446313779,
      -0.0008243850748708918,
      -0.000893702593677972,
      -0.0009619839903234159,
      -0.0010292447366261439,
      -0.0010955000567431032,
      -0.0011607648532202188,
      -0.0012250539565959548,
      -0.0012883819989779727,
      -0.0013507634270482276,
      -0.0014122124061177923,
      -0.0014727427865390942,
      -0.00153236831730518,
      -0.0015911024390707507,
      -0.0016489585088008845,
      -0.0017059496612912668,
      -0.0017620887843927764,
      -0.0018173886523912275,
      -0.0018718617852052806,
      -0.0019255205930481527,
      -0.0019783772087256907,
      -0.0020304436628110854,
      -0.0020817318160573097,
      -0.0021322532852595683,
      -0.002182019444206595,
      -0.0022310416147976603,
      -0.0022793309651670634,
      -0.0023268983434085516,
      -0.002373754549497083,
      -0.0024199102692286957,
      -0.0024653759636922854
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566627874105572,
      10.335832807760406,
      10.096728062792803,
      9.852458431765358,
      9.605552927353974,
      9.358224510029345,
      9.112402178628294,
      8.86970168334904,
      8.63139582811306,
      8.398421326382252,
      8.171413062254869,
      7.950726691022057,
      7.736469383150738,
      7.528533460943392,
      7.326637758243262,
      7.1303816098905575,
      6.939287959627401,
      6.752840683186799,
      6.5705154899193845,
      6.391808484455132,
      6.216253651244179,
      6.043424447199629,
      5.872947798262576,
      5.704523910135013,
      5.537928760157688,
      5.373014946823152,
      5.2097131530114575,
      5.048037098124309,
      4.888064756633469,
      4.729934618298533,
      4.573857101289145,
      4.420108611017913,
      4.269036336561885,
      4.121025534739163,
      3.976476452786415,
      3.8357869032587715,
      3.699341406858422,
      3.567500123180378,
      3.4405814105896035,
      3.318853410964358,
      3.2025291784322243,
      3.0917641893483143,
      2.986653815265448,
      2.8872228472813317,
      2.7934213147390006,
      2.705136105472161,
      2.622215819682074,
      2.544449393282241,
      2.4715921970852595,
      2.4033973374934865,
      2.3396065978483778,
      2.2799255808031633,
      2.2240332032993777,
      2.1715673802128537,
      2.1221461734853198,
      2.0754099487447366,
      2.031031317629233,
      1.9887102410328743,
      1.9481899137021723,
      1.9092559604895032,
      1.8717391084989679,
      1.8355036505065883,
      1.800436543338186,
      1.7664380569217872,
      1.733426222211019,
      1.7013342853108295,
      1.6701066096203578,
      1.639695868481031,
      1.6100611143059984,
      1.5811660342424585,
      1.552977889010568,
      1.525465037598343,
      1.4985967447012372,
      1.4723454129750835,
      1.4466860836940705,
      1.4215958907255082,
      1.3970538051724357,
      1.37304109927604,
      1.3495411452704535,
      1.3265379130553394,
      1.304015766166843,
      1.2819595474939136,
      1.260354625638235,
      1.2391869160208318,
      1.2184428862982954,
      1.1981105665085159,
      1.1781796885020943,
      1.15863989249027,
      1.1394807190309002,
      1.1206927791621137,
      1.102269200857839,
      1.084203671715925,
      1.0664891550792588,
      1.04911788424941,
      1.032081725786367,
      1.0153724164647022,
      0.9989817145044946,
      0.9829014954085153,
      0.9671238110672177,
      0.9516409252978388,
      0.9364453322799307,
      0.9215297644653121,
      0.9068871940242639,
      0.8925108306976387,
      0.8783941158052772,
      0.8645307157071854,
      0.8509145136274315,
      0.8375396015874561,
      0.8244002720521331,
      0.8114910096961063,
      0.7988064832840609,
      0.7863415376013159,
      0.7740911861020654,
      0.7620506038186383,
      0.750215120451856,
      0.7385802138879392,
      0.7271415036460198,
      0.7158947452561218,
      0.7048358246816321,
      0.6939607524842788,
      0.6832656589222323,
      0.67274678931587,
      0.6624004996235294,
      0.6522232513516086,
      0.6422116073873176,
      0.6323622011412741,
      0.6226717113107633,
      0.6131369250967512,
      0.6037547395434053,
      0.5945221498659173,
      0.5854362414741493,
      0.5764941835914521,
      0.5676932240985307,
      0.5590306855167473,
      0.5505039615876993,
      0.5421105139808644,
      0.5338478692732869,
      0.5257136166232613,
      0.5177054052882597,
      0.5098209427139391,
      0.5020579921649838,
      0.4944143711831132,
      0.48688794918065964,
      0.47947665117427035,
      0.4721785614411135,
      0.4649921279943876,
      0.4579157967185991,
      0.45094791012690905,
      0.4440864737133305,
      0.43732920880236237,
      0.43067400342267353,
      0.4241189030751077,
      0.41766206966692787,
      0.4113017536384573,
      0.4050362755589772,
      0.3988640135510282,
      0.3927833942967656,
      0.3867932939151353,
      0.38089297998934074,
      0.3750815110384141,
      0.3693577756118832,
      0.3637205598908153,
      0.3581685921663331,
      0.35270057201708954,
      0.34731535650898326,
      0.34201193715610756,
      0.33678921586979993,
      0.3316459840526386,
      0.3265807689299227,
      0.3215920795671271,
      0.31667852977639965,
      0.31183881016913506,
      0.3070716981125132,
      0.3023761208124021,
      0.29775102571785816,
      0.2931953482578614,
      0.28870803604544876,
      0.2842880532932157,
      0.27993436645301345,
      0.2756459484273623,
      0.27142178276532397,
      0.26726086579030206,
      0.26316220820999525,
      0.25912483615310505,
      0.25514780766075645,
      0.25123051140223385,
      0.247372472374235,
      0.24357306309624138,
      0.2398315606413492,
      0.23614718366049717,
      0.23251911706183648,
      0.2289465284848447,
      0.22542857889687481,
      0.22196442988539417,
      0.21855324805627413,
      0.2151942083122423,
      0.21188649557950964,
      0.20862929005067196,
      0.2054217031069071,
      0.20226285614559122,
      0.19915192004131618,
      0.19608810287600323,
      0.1930706414157798,
      0.19009879552452535,
      0.18717184434912423,
      0.1842890835629522,
      0.18144982358194633,
      0.17865338817487914,
      0.17589911374336206,
      0.1731863484171728,
      0.17051445175734858,
      0.16788279417609517,
      0.1652907565686411,
      0.16273773011727213,
      0.16022311598208766,
      0.15774632504243355,
      0.15530677793146672,
      0.1529039044981446,
      0.15053714388552106,
      0.14820594413813115,
      0.14590976225355531,
      0.14364806391515383,
      0.14142032329400192,
      0.1392260229193021,
      0.1370646535597374,
      0.1349357140652953,
      0.13283871122626822,
      0.13077315965570419,
      0.12873858162534035,
      0.1267345068987411,
      0.12476047262551329,
      0.12281602328993821,
      0.12090071049120786,
      0.11901409274577837,
      0.11715573566139918,
      0.1153252114332824,
      0.11352209900412934,
      0.11174598390188645,
      0.10999645808594312,
      0.10827311989720827,
      0.10657557378648813,
      0.10490343048350755,
      0.10325630671542636,
      0.10163382505962255,
      0.10003561393065823,
      0.09846130749769945,
      0.09691054559572107,
      0.09538297353497337,
      0.0938782421582347,
      0.09239600761749674,
      0.09093593143024581,
      0.08949768030569084,
      0.08808092589358398,
      0.08668534495731696,
      0.08531061921485233,
      0.08395643526072703,
      0.08262248456862399,
      0.08130846314204196,
      0.08001407178568382,
      0.07873901575108493,
      0.07748300474778534,
      0.07624575301504512,
      0.07502697912354982,
      0.07382640595169816,
      0.07264376050548514,
      0.07147877396961812,
      0.07033118166554894,
      0.06920072289729375,
      0.06808714081171435,
      0.06699018253378844,
      0.06590959901695868,
      0.06484514506697564,
      0.06379657908684074,
      0.0627636632744804,
      0.061746163203803384,
      0.060743848144250746,
      0.05975649076983312,
      0.05878386725038525,
      0.05782575709439319,
      0.05688194320819809,
      0.05595221171937911,
      0.05503635193364577,
      0.05413415634730793,
      0.05324542068498593,
      0.052369943688417846,
      0.05150752721561727,
      0.050657975887132306,
      0.049821097391889474,
      0.0489967023081318,
      0.048184604119758015,
      0.047384619040304866,
      0.046596566031585865,
      0.045820266845204204,
      0.04505554590338759,
      0.04430223015759617,
      0.04356014925615019,
      0.04282913538144277,
      0.042109023221201344,
      0.04139964993949873,
      0.040700855204880086,
      0.04001248108491127,
      0.03933437198532514,
      0.03866637454328072,
      0.038008337793689666,
      0.03736011299784691,
      0.036721553786152945,
      0.03609251587354526,
      0.03547285713371435,
      0.03486243750270123,
      0.03426111902455391,
      0.0336687659714268,
      0.033085244489087645,
      0.03251042282214418,
      0.03194417112412939,
      0.03138636153285027,
      0.03083686813544676,
      0.03029556689034538,
      0.02976233539077177,
      0.029237053309053986,
      0.028719602041063948,
      0.02820986480246517,
      0.02770772648408322,
      0.027213073755418083,
      0.026725794996826088,
      0.02624578021325063,
      0.025772921023767187,
      0.025307110683107776,
      0.02484824400751821,
      0.024396217396029908,
      0.023950928832199438,
      0.023512277923947635,
      0.02308016560617158,
      0.022654494427191422,
      0.022235168332814234,
      0.021822092691192212,
      0.021415174278493824,
      0.021014321327479497,
      0.020619443263586702,
      0.020230451081888822,
      0.0198472570238281,
      0.019469774570804784,
      0.01909791851874795,
      0.018731605064219763,
      0.01837075157152181,
      0.018015276598848665,
      0.017665099948203356,
      0.017320142631020802,
      0.01698032693394861,
      0.016645576197077964,
      0.01631581487602036,
      0.01599096846855412,
      0.01567096383338674,
      0.015355728718708175,
      0.015045192045476784,
      0.014739283806658477,
      0.014437934958328706,
      0.014141077428774457,
      0.013848644347788548,
      0.01356056979732582,
      0.01327678878187343,
      0.012997237310837776,
      0.012721852332201892,
      0.012450571650500111,
      0.012183334172733297,
      0.011920079662458628,
      0.01166074871985694,
      0.011405282828569079,
      0.011153624450755248,
      0.01090571668671177,
      0.010661503681615673,
      0.010420930501680983,
      0.010183942823477331,
      0.009950487064169488,
      0.00972051061023048,
      0.009493961725614742,
      0.00927078917053753,
      0.00905094265596881,
      0.008834372626886211,
      0.008621030322458954,
      0.008410867578336801,
      0.00820383701305387,
      0.007999891994800855,
      0.007798986540952742,
      0.0076010753605296535,
      0.0074061137271383415,
      0.007214057672584275,
      0.007024863922368251,
      0.0068384898213940315,
      0.006654893395492705,
      0.006474033193131527,
      0.006295868396176473,
      0.006120358857022315,
      0.0059474650554083375,
      0.005777147905203369,
      0.00560936903361651,
      0.0054440906624225035,
      0.005281275535908622,
      0.005120886850961602,
      0.00496288846270623,
      0.004807244799691018,
      0.004653920756149187,
      0.004502881668731012,
      0.004354093593950814,
      0.004207523022149227,
      0.0040631368924321015,
      0.003920902558186305,
      0.0037807880090134113,
      0.003642761560365457,
      0.0035067921745363553,
      0.0033728491417444034,
      0.0032409022393336774,
      0.0031109217785285207,
      0.002982878500759101,
      0.0028567434817473136,
      0.002732488253483909,
      0.002610084838599099,
      0.0024895057234041863,
      0.0023707236735446553,
      0.0022537119005209528,
      0.0021384440074074086,
      0.0020248939297767125,
      0.0019130361706072338,
      0.0018028454520119907,
      0.0016942968705283318,
      0.0015873660410360832,
      0.00148202886112781,
      0.001378261486384154,
      0.0012760404785867121,
      0.001175342949021399,
      0.0010761461313823408,
      0.0009784276170273463,
      0.0008821654131472908,
      0.0007873379010294895,
      0.0006939236303129748,
      0.0006019014510438734,
      0.0005112506787402289,
      0.00042195093690336493,
      0.00033398205776087,
      0.00024732416238019614,
      0.00016195777332217437,
      7.786369993013192e-05,
      -4.977062323372703e-06,
      -8.658322841721512e-05,
      -0.0001669732335338444,
      -0.00024616520370978104,
      -0.00032417696348638916,
      -0.0004010261376345141,
      -0.0004767298703925271,
      -0.0005513042950232985,
      -0.0006247653094898545,
      -0.0006971289632486458,
      -0.0007684113293106004,
      -0.0008386282812582452,
      -0.0009077954474203151,
      -0.0009759284439070748,
      -0.0010430426051131216,
      -0.001109153069523208,
      -0.0011742748453572348,
      -0.0012384227296279523,
      -0.0013016112833945928,
      -0.0013638548382622754,
      -0.0014251675525313546,
      -0.0014855632887618034,
      -0.0015450557443215127,
      -0.001603658454539299,
      -0.0016613846611022794,
      -0.0017182475360295916,
      -0.0017742599533969205,
      -0.0018294346606823244,
      -0.0018837842080238344,
      -0.0019373209402580274,
      -0.0019900569562968555,
      -0.0020420042202956823,
      -0.002093174576727249,
      -0.0021435796759701,
      -0.002193230899378583,
      -0.002242139569257547,
      -0.002290316789741009,
      -0.0023377735222185492,
      -0.002384520392920833,
      -0.0024305681228162755,
      -0.002475927194289011
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56662554439366,
      10.335822068929849,
      10.096703267098244,
      9.852414708457992,
      9.605486565510102,
      9.35813301794429,
      9.112284051617259,
      8.869556256738559,
      8.631223357548018,
      8.398222472479846,
      8.171188573150042,
      7.9504773040000325,
      7.736195755783994,
      7.528235864726957,
      7.326316218581781,
      7.130036047075344,
      6.938918283954461,
      6.752446848332718,
      6.570097621419055,
      6.391366802837791,
      6.215788535605303,
      6.042936556645827,
      5.872437950377729,
      5.703993126777033,
      5.537378325652202,
      5.372446393122422,
      5.209128279908002,
      5.047438001783174,
      4.887453689356153,
      4.729314078738611,
      4.573229865180585,
      4.41947791191411,
      4.2684059875700395,
      4.120399340410347,
      3.9758581475936574,
      3.8351800544540313,
      3.6987494925867863,
      3.5669263650775145,
      3.4400286428139912,
      3.31832404286622,
      3.2020251738402985,
      3.091287058733736,
      2.986204550159146,
      2.8868018680607572,
      2.793028420408215,
      2.7047705102485184,
      2.621876119023606,
      2.544133653491511,
      2.4712983702242983,
      2.4031232354066776,
      2.3393498809605964,
      2.279683825642832,
      2.223803874294289,
      2.171347591831823,
      2.1219331710301157,
      2.0752012210850346,
      2.0308245995028003,
      1.9885036053889245,
      1.9479818712452268,
      1.9090454184711643,
      1.8715252906562059,
      1.8352860020326125,
      1.8002146715603127,
      1.7662116896272253,
      1.7331951994534855,
      1.7010985274907786,
      1.6698660938301557,
      1.639450593944609,
      1.609811105269392,
      1.580911340911141,
      1.5527185787104814,
      1.5252012185897907,
      1.4983285345591146,
      1.4720729227471672,
      1.446409419918865,
      1.4213151557237207,
      1.3967691102565314,
      1.372752581781566,
      1.3492489379931407,
      1.3262421332719296,
      1.3037165206134134,
      1.2816569343748423,
      1.2600487372233478,
      1.2388778404542713,
      1.21813070770226,
      1.1977955125320374,
      1.177861998051009,
      1.1583197486586008,
      1.1391582667894107,
      1.1203682737949883,
      1.1019430457324217,
      1.0838761605704292,
      1.0661604994680487,
      1.048788240004466,
      1.0317512116691592,
      1.0150411259960046,
      0.9986497240393437,
      0.9825688696865932,
      0.9667906073149347,
      0.9513071952772071,
      0.9361111239148253,
      0.9211951230482911,
      0.9065521631065739,
      0.8921754524099084,
      0.8780584310675676,
      0.8641947642262003,
      0.8505783344948354,
      0.8372032333110735,
      0.8240637525279789,
      0.8111543761214612,
      0.7984697721640898,
      0.7860047849507437,
      0.7737544275371121,
      0.7617138746922582,
      0.7498784553710267,
      0.738243646629693,
      0.7268050679041748,
      0.7155584740583428,
      0.7044997502310115,
      0.6936249066024254,
      0.6829300729507245,
      0.6724114941377862,
      0.6620655250666594,
      0.6518886267274615,
      0.6418773618439483,
      0.6320283613899382,
      0.6223383033587314,
      0.6128039751577314,
      0.6034222736197382,
      0.5941901938082554,
      0.5851048208063394,
      0.576163323455627,
      0.5673629493723377,
      0.5587010207211482,
      0.5501749307628713,
      0.5417821404535988,
      0.5335201760286277,
      0.5253866259825443,
      0.5173791392418191,
      0.5094954227903425,
      0.5017332393453565,
      0.49409040573256857,
      0.48656479088023397,
      0.47915432514175854,
      0.47185715293978925,
      0.4646717475510026,
      0.4575965204584051,
      0.4506297916911725,
      0.4437696211187845,
      0.4370137258771822,
      0.43035996170339647,
      0.42380635257486127,
      0.4173510457237371,
      0.410992281952642,
      0.404728375310161,
      0.3985576994711863,
      0.3924786780365418,
      0.3864902829917201,
      0.38059178630026824,
      0.3747822074602753,
      0.36906040899124826,
      0.3634251599449601,
      0.35787517721502904,
      0.35240915286377883,
      0.3470259673493389,
      0.3417246106185824,
      0.33650397104586305,
      0.33136283047234055,
      0.3262997091751363,
      0.321313113295073,
      0.31640165456119607,
      0.3115640222949861,
      0.3067990030513757,
      0.3021055285986176,
      0.29748254053413,
      0.2929289702106715,
      0.2884437642454155,
      0.2840258850488812,
      0.279674297168951,
      0.275387972370221,
      0.2711658931622195,
      0.2670070551372773,
      0.26291046885601466,
      0.25887515996501115,
      0.25490019698958993,
      0.2509849832065293,
      0.2471290342164638,
      0.24333171632273906,
      0.2395923023506862,
      0.23591000822170477,
      0.23228401699773998,
      0.22871349491414636,
      0.22519760203328584,
      0.22173549940472764,
      0.21832635326911465,
      0.2149693380922953,
      0.21166363863265492,
      0.2084084324733791,
      0.20520282741882373,
      0.20204594682414145,
      0.19893696295411759,
      0.1958750847563364,
      0.1928595497606362,
      0.1898896180233135,
      0.18696456888507085,
      0.18408369820132167,
      0.1812463164692734,
      0.17845174743748915,
      0.1756993275632187,
      0.17298840511976538,
      0.17031833965141943,
      0.1676885015071739,
      0.16509827152225662,
      0.16254704082779928,
      0.16003421062977305,
      0.1575591918293066,
      0.15512140492276677,
      0.15272027978093367,
      0.15035525552968607,
      0.1480257802838016,
      0.14573131103307418,
      0.14347131338733082,
      0.14124526148554892,
      0.13905263793558922,
      0.13689293343482334,
      0.1347656469737718,
      0.13267028532623298,
      0.13060636306499726,
      0.12857340242241072,
      0.12657093312970605,
      0.12459849241867355,
      0.12265562470957139,
      0.12074188153054209,
      0.11885682159322715,
      0.11700001045790881,
      0.11517102039231127,
      0.11336943038490928,
      0.11159482591281968,
      0.10984679904203554,
      0.10812494807838108,
      0.10642887750597949,
      0.10475819804120388,
      0.10311252645271599,
      0.10149148538908964,
      0.09989470328923966,
      0.09832181441431095,
      0.09677245851093445,
      0.09524628104656938,
      0.09374293280878927,
      0.09226206995553911,
      0.09080335406469817,
      0.08936645181399017,
      0.087951035035127,
      0.086556780492887,
      0.08518336999307012,
      0.08383049018392322,
      0.08249783239332219,
      0.08118509278798787,
      0.07989197221869206,
      0.07861817603785598,
      0.07736341411126478,
      0.0761274006673834,
      0.07490985425815476,
      0.07371049777305004,
      0.07252905826529878,
      0.07136526704783903,
      0.07021885939070202,
      0.06908957469759025,
      0.0679771562390389,
      0.06688135119898837,
      0.06580191055103324,
      0.06473858916465106,
      0.06369114545523122,
      0.0626593415621066,
      0.06164294327988331,
      0.060641719894779594,
      0.05965544425033844,
      0.05868389251427704,
      0.057726844250889975,
      0.05678408239730106,
      0.05585539310642505,
      0.05494056581781886,
      0.05403939315030311,
      0.05315167081904617,
      0.05227719756423094,
      0.05141577518007423,
      0.05056720851726095,
      0.049731305299564016,
      0.04890787623146337,
      0.04809673474118714,
      0.04729769710988643,
      0.04651058252856907,
      0.045735212688858884,
      0.0449714119816633,
      0.04421900752105631,
      0.04347782905803117,
      0.0427477088881737,
      0.04202848173399016,
      0.04131998486579426,
      0.04062205790100504,
      0.039934542950138166,
      0.03925728445376619,
      0.0385901291813439,
      0.037932926257770214,
      0.03728552699565675,
      0.036647785038193874,
      0.036019556214771126,
      0.03540069851031193,
      0.034791071845562495,
      0.034190538421353736,
      0.03359896249607403,
      0.03301621022497208,
      0.03244214997764776,
      0.03187665200873321,
      0.031319588565357874,
      0.0307708335791579,
      0.030230263134749514,
      0.029697755036237797,
      0.02917318899815491,
      0.02865644646165614,
      0.02814741067830937,
      0.02764596657840846,
      0.027152000855410464,
      0.0266654018028627,
      0.026186059583768986,
      0.025713866030201298,
      0.02524871430925449,
      0.024790499376811617,
      0.02433911780176488,
      0.023894467679582376,
      0.023456448405416153,
      0.023024961062699495,
      0.02259990825244862,
      0.022181193953707393,
      0.021768723593093658,
      0.02136240408152188,
      0.02096214361525591,
      0.020567851863426634,
      0.0201794398180827,
      0.01979681958540455,
      0.019419904817606665,
      0.019048610450991346,
      0.01868285268453793,
      0.018322548918730346,
      0.017967617743766668,
      0.017617978983097585,
      0.017273553722887965,
      0.0169342642508314,
      0.016600033935970253,
      0.016270787367509892,
      0.015946450243648453,
      0.015626949385781085,
      0.015312212496023273,
      0.0150021685292711,
      0.01469674750350556,
      0.01439588054994459,
      0.014099499853116731,
      0.013807538416632162,
      0.013519930226727551,
      0.013236610394190444,
      0.012957515027172318,
      0.012682581126976773,
      0.012411746557164857,
      0.012144950289883383,
      0.011882132064627337,
      0.011623232527165434,
      0.01136819318765454,
      0.011116956509431593,
      0.010869465822982175,
      0.010625665275545055,
      0.010385499834723354,
      0.010148915327057976,
      0.00991585831453325,
      0.009686276133037481,
      0.009460117080078925,
      0.009237330103846262,
      0.009017864844800076,
      0.00880167183219408,
      0.008588702252095579,
      0.008378907997389391,
      0.0081722417972017,
      0.00796865703768641,
      0.007768107719142741,
      0.007570548542709296,
      0.007375934923418665,
      0.007184222967835898,
      0.0069953693591228,
      0.006809331479711052,
      0.006626067428514305,
      0.006445535780065688,
      0.006267695829212722,
      0.006092507450377967,
      0.00591993118806264,
      0.00574992800048596,
      0.005582459456068218,
      0.005417487786144595,
      0.005254975825781431,
      0.005094886861586033,
      0.004937184812053635,
      0.004781833990476089,
      0.004628799378409122,
      0.0044780464245281915,
      0.004329541195510329,
      0.004183250128010329,
      0.004039140195999496,
      0.0038971789339566484,
      0.0037573342647509904,
      0.003619574628336086,
      0.0034838689658134273,
      0.0033501866230554863,
      0.0032184974212219023,
      0.0030887716464278606,
      0.0029609800540477205,
      0.002835093804555214,
      0.002711084382440891,
      0.0025889237639811742,
      0.002468584536286329,
      0.002350039522443723,
      0.0022332619612874995,
      0.0021182254783979814,
      0.0020049041928131327,
      0.0018932724815152032,
      0.0017833051398425958,
      0.0016749773779795646,
      0.0015682648189468528,
      0.001463143320267969,
      0.001359589082851158,
      0.0012575788182621794,
      0.0011570894854920355,
      0.0010580983468595146,
      0.0009605830506161093,
      0.0008645216766334858,
      0.0007698925613774271,
      0.0006766743336532434,
      0.0005848459834080083,
      0.0004943867156258823,
      0.0004052761804910577,
      0.0003174942660689928,
      0.00023102115315799587,
      0.00014583725645750774,
      6.192342752911402e-05,
      -2.0739247562001856e-05,
      -0.00010216946521257406,
      -0.00018238565053398353,
      -0.00026140590234689293,
      -0.0003392479753480355,
      -0.00041592940688597044,
      -0.0004914675795488594,
      -0.0005658795412709472,
      -0.0006391813855082083,
      -0.0007113886704387803,
      -0.0007825170333503597,
      -0.0008525821504195782,
      -0.000921599530928793,
      -0.0009895846863558978,
      -0.001056552987722832,
      -0.0011225195288068158,
      -0.0011874990962321983,
      -0.0012515065840597592,
      -0.0013145563646870602,
      -0.0013766627719708417,
      -0.0014378400427922944,
      -0.0014981019976376857,
      -0.001557462304941038,
      -0.0016159344199399084,
      -0.0016735317587703387,
      -0.0017302673118710637,
      -0.001786153968713042,
      -0.001841204415621422,
      -0.00189543112834653,
      -0.001948846478411341,
      -0.0020014626543026323,
      -0.0020532915948820486,
      -0.002104345099952889,
      -0.002154634736504012,
      -0.002204171947779534,
      -0.0022529679455842977,
      -0.0023010338179115983,
      -0.0023483805215565447,
      -0.002395018797899788,
      -0.002440959335859211,
      -0.0024862126168732532
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56662322312494,
      10.335811372802805,
      10.096678572211117,
      9.852371163529558,
      9.60542047545406,
      9.35804190264719,
      9.112166414700452,
      8.869411360689904,
      8.631051395718032,
      8.398024128770505,
      8.170964615026495,
      7.950228486072615,
      7.735922751399188,
      7.5279389567256185,
      7.325995415302835,
      7.129691283248505,
      6.938549479946212,
      6.752053965392208,
      6.56968079383334,
      6.390926259205318,
      6.215324662831633,
      6.042450019412231,
      5.871929570058783,
      5.7034639291207805,
      5.536829599049398,
      5.371879669687963,
      5.208545357695704,
      5.046840973674581,
      4.886844805116898,
      4.728695833831127,
      4.57260502996323,
      4.418849712313782,
      4.267778226597374,
      4.119775811519514,
      3.975242573679679,
      3.83457598997391,
      3.698160402828422,
      3.5663554584338044,
      3.439478739428577,
      3.317797540090457,
      3.201524023833546,
      3.090812760763186,
      2.9857580850332917,
      2.8863836389381192,
      2.792638214306159,
      2.704407538493703,
      2.6215389757691647,
      2.543820404601319,
      2.471006968006337,
      2.402851493296293,
      2.3390954612876693,
      2.279444308362646,
      2.2235766388579368,
      2.1711296964819833,
      2.1217219015508397,
      2.074994100790288,
      2.030619393189464,
      1.9882984115850049,
      1.947775219972821,
      1.9088362316465584,
      1.87131280242058,
      1.8350696649662273,
      1.799994098713586,
      1.7659866130352826,
      1.7329654618553887,
      1.7008640508595938,
      1.6696268555593505,
      1.6392066018952915,
      1.6095623817856424,
      1.5806579349438175,
      1.552460557331796,
      1.5249386892783527,
      1.4980616150521846,
      1.4718017240770256,
      1.4461340481735296,
      1.4210357134035025,
      1.3964857085651112,
      1.3724653624875731,
      1.3489580323881218,
      1.3259476580562508,
      1.3034185813452097,
      1.2813556294090593,
      1.2597441590346279,
      1.238570076426791,
      1.2178198421632929,
      1.1974817732811536,
      1.177545624139282,
      1.158000922962726,
      1.1388371339010515,
      1.1200450888111686,
      1.1016182121254265,
      1.083549971456683,
      1.0658331653557285,
      1.0484599160654118,
      1.0314220164383032,
      1.014711152740945,
      0.9983190493414743,
      0.982237558684514,
      0.9664587174490444,
      0.9509747783879782,
      0.935778228071353,
      0.920861793651244,
      0.9062184434715692,
      0.891841384442147,
      0.8777240556729486,
      0.8638601213580374,
      0.8502434632931288,
      0.8368681723356338,
      0.8237285395765132,
      0.8108190482936461,
      0.7981343661207061,
      0.7856693366564135,
      0.7734189726051451,
      0.7613784481115703,
      0.7495430917590564,
      0.7379083802489825,
      0.7264699318314328,
      0.7152235009727429,
      0.7041649723549585,
      0.6932903555076162,
      0.682595779839897,
      0.672077489635136,
      0.6617318393315994,
      0.6515552892045786,
      0.6415444016158756,
      0.6316958051571143,
      0.6220061771199669,
      0.6124723053739309,
      0.6030910864911817,
      0.5938595152319218,
      0.584774676428874,
      0.5758337385677512,
      0.5670339487714042,
      0.558372628744639,
      0.5498471713153736,
      0.5414550369264249,
      0.5331937511866445,
      0.5250609022262931,
      0.5170541385077029,
      0.5091711662659171,
      0.5014097479668556,
      0.49376770001580766,
      0.486242890872705,
      0.47883326064741855,
      0.471537026437188,
      0.4643526613179626,
      0.4572785455948241,
      0.4503129786386168,
      0.4434540759236774,
      0.4366995510083825,
      0.43004722791859634,
      0.4234951090499878,
      0.4170413274062844,
      0.4106841142920627,
      0.4044217773990758,
      0.3982526858884057,
      0.3921753081759232,
      0.38618868613595236,
      0.38029204862326776,
      0.3744843848304467,
      0.3687645373065758,
      0.3631312617039816,
      0.35758326605213814,
      0.35211924837305647,
      0.34673810719581605,
      0.3414388195823711,
      0.3362202632319931,
      0.3310812120334312,
      0.3260201806446656,
      0.3210356729923524,
      0.31612629937701947,
      0.3112907479980584,
      0.30652781795825046,
      0.3018364413856429,
      0.2972155544773438,
      0.29266408518550313,
      0.28818097906770485,
      0.28376519682005713,
      0.27941570127465737,
      0.2751314629027282,
      0.27091146318284615,
      0.266754697404149,
      0.2626601754794126,
      0.25862692279699134,
      0.254654018233623,
      0.2507408795649386,
      0.24688701326757267,
      0.24309177947143948,
      0.23935444691132862,
      0.23567422860632015,
      0.23205030566267001,
      0.22848184300538193,
      0.2249679999743255,
      0.2215079368698876,
      0.2181008195597659,
      0.2147458222047537,
      0.2114421292475491,
      0.20818891573017784,
      0.2049852858719329,
      0.2018303650409426,
      0.19872332688408317,
      0.19566338123230612,
      0.19264976605319237,
      0.18968174186676412,
      0.18675858832592146,
      0.18387960125640812,
      0.18104409129167973,
      0.1782513823676845,
      0.17550081091294426,
      0.17279172517129993,
      0.17012348459872936,
      0.16749545947250333,
      0.16490703076232804,
      0.162357589679188,
      0.15984653729494086,
      0.15737328443509305,
      0.15493725162232314,
      0.15253786874718922,
      0.15017457489737226,
      0.14784681819276674,
      0.14555405553735948,
      0.14329575256683416,
      0.14107138347497747,
      0.13888043083211388,
      0.13672238539595644,
      0.13459674602882157,
      0.1325030195813295,
      0.13044072060894454,
      0.12840937130846938,
      0.12640850161764763,
      0.12443764858128654,
      0.12249635673768587,
      0.12058417768219193,
      0.11870066999615363,
      0.11684539928689584,
      0.11501793789983297,
      0.1132178648427752,
      0.11144476567459094,
      0.10969823232563101,
      0.10797786311682704,
      0.10628326273607391,
      0.10461404194289126,
      0.10296981736944502,
      0.10135021176082015,
      0.09975485366941314,
      0.09818337721980212,
      0.09663542224838126,
      0.09511063423986826,
      0.09360866409831699,
      0.09212916805775469,
      0.09067180763632753,
      0.08923624955764985,
      0.08782216565870479,
      0.08642923284675073,
      0.08505713288354186,
      0.08370555242143363,
      0.0823741829807631,
      0.08106272082317827,
      0.0797708667399852,
      0.07849832605393343,
      0.07724480864318686,
      0.07601002885447468,
      0.07479370538149223,
      0.07359556106922778,
      0.07241532307740288,
      0.07125272276029151,
      0.07010749551053105,
      0.06897938070713318,
      0.06786812166480571,
      0.06677346562313581,
      0.0656951636549015,
      0.064632970632848,
      0.06358664510206756,
      0.06255594921690573,
      0.061540648869403046,
      0.06054051337964888,
      0.05955531547239343,
      0.05858483148911572,
      0.05762884113608044,
      0.056687127397786786,
      0.05575947646899953,
      0.05484567785766188,
      0.05394552412501083,
      0.05305881104402051,
      0.05218533759192545,
      0.051324905623880986,
      0.050477320066585965,
      0.04964238865233118,
      0.048819922032916005,
      0.0480097337644016,
      0.04721164015013859,
      0.0464254603934687,
      0.045651016372985166,
      0.04488813258089885,
      0.044136636198379764,
      0.04339635694583495,
      0.042667127152572065,
      0.04194878159174868,
      0.04124115760750514,
      0.04054409499114749,
      0.03985743580944511,
      0.03918102469661602,
      0.038514708436760685,
      0.03785833618807971,
      0.0372117594264114,
      0.036574831824562906,
      0.03594740921004717,
      0.0353293495693058,
      0.03472051308554458,
      0.03412076191480553,
      0.03352996029711988,
      0.032947974507060704,
      0.03237467292683839,
      0.03180992593964748,
      0.031253605694083794,
      0.0307055862920507,
      0.030165743805788965,
      0.02963395626479127,
      0.0291101033701325,
      0.02859406661613865,
      0.028085729240642558,
      0.027584976360441854,
      0.027091694693867532,
      0.02660577277328429,
      0.026127100668009436,
      0.025655570260935467,
      0.025191074812676878,
      0.024733509301256576,
      0.024282770291071825,
      0.023838755846280774,
      0.023401365634592178,
      0.02297050078261705,
      0.022546063877134884,
      0.02212795903531844,
      0.02171609168842957,
      0.02131036873971581,
      0.020910698396990526,
      0.020516990405007936,
      0.020129155793644122,
      0.019747107000253263,
      0.019370757609427504,
      0.01900002245353977,
      0.01863481784509485,
      0.018275061268301463,
      0.017920671373509348,
      0.017571568097584363,
      0.017227672623786282,
      0.016888907250877726,
      0.016555195381442157,
      0.016226461615974803,
      0.01590263171191476,
      0.01558363241978966,
      0.015269391666902912,
      0.014959838497377283,
      0.014654902953138618,
      0.014354516155774022,
      0.014058610291041359,
      0.013767118355673692,
      0.013479974467274914,
      0.013197113847568843,
      0.012918472619289757,
      0.012643987810338054,
      0.012373597437443677,
      0.012107240396648136,
      0.011844856535483245,
      0.011586386696972522,
      0.011331772360140525,
      0.011080955894261498,
      0.010833880682523642,
      0.010590490969885269,
      0.010350731739724707,
      0.01011454895627874,
      0.009881889218834969,
      0.009652699934085233,
      0.009426929300584823,
      0.009204526340837894,
      0.008985440796697929,
      0.008769623104016116,
      0.008557024605298596,
      0.008347597314173468,
      0.00814129389258786,
      0.007938067725882127,
      0.007737872956080976,
      0.007540664263865627,
      0.007346397186821041,
      0.0071550278878172065,
      0.006966513122951974,
      0.006780810243434464,
      0.006597877422871437,
      0.006417673231933615,
      0.006240157004160321,
      0.006065288574356432,
      0.005893028445423335,
      0.005723337665207519,
      0.005556177889839345,
      0.005391511404997548,
      0.005229301098825384,
      0.005069510322580868,
      0.004912102969397538,
      0.00475704347265121,
      0.004604296882512297,
      0.004453828722470071,
      0.0043056050193348095,
      0.004159592259085989,
      0.004015757420617457,
      0.0038740679733103075,
      0.0037344919212318824,
      0.003596997766449421,
      0.0034615544999738552,
      0.003328131486336589,
      0.0031966985406489063,
      0.0030672260900387817,
      0.002939684802871839,
      0.002814045950912967,
      0.0026902811374067133,
      0.0025683623639012852,
      0.002448262085530264,
      0.002329953179332749,
      0.0022134088886558976,
      0.0020986029534401287,
      0.0019855094944642693,
      0.0018741028927105148,
      0.0017643580257715845,
      0.0016562500930393355,
      0.0015497547154552586,
      0.0014448478271295575,
      0.0013415057718411906,
      0.0012397051717040611,
      0.001139423020125359,
      0.001040636623117083,
      0.0009433237075058936,
      0.0008474622381075711,
      0.0007530305983041896,
      0.0006600075688050538,
      0.0005683720026186706,
      0.0004781033019061105,
      0.0003891810251684253,
      0.0003015852081123519,
      0.00021529595429198853,
      0.00013029368776759583,
      4.655925430516097e-05,
      -3.5926204473765984e-05,
      -0.00011718135080546871,
      -0.00019722453948262385,
      -0.00027607387718645867,
      -0.0003537470390959046,
      -0.0004302616691414034,
      -0.0005056349721511347,
      -0.0005798839722474628,
      -0.0006530254523949325,
      -0.0007250755687610893,
      -0.0007960497105828526,
      -0.0008659631329686398,
      -0.000934831118734248,
      -0.0010026689808382654,
      -0.0010694918746837483,
      -0.001135314895724864,
      -0.0012001528842096399,
      -0.0012640204326359406,
      -0.001326932146541658,
      -0.0013889022884205312,
      -0.0014499449037174738,
      -0.0015100738058811067,
      -0.001569302757939687,
      -0.0016276451383666847,
      -0.0016851141910498532,
      -0.001741723007191329,
      -0.0017974845574670422,
      -0.0018524114186331344,
      -0.0019065161157051525,
      -0.001959810884589575,
      -0.002012307879304688,
      -0.0020640189842453037,
      -0.0021149560072916155,
      -0.0021651306624202774,
      -0.0022145543803875596,
      -0.00226323834096006,
      -0.002311193484847405,
      -0.0023584307093773185,
      -0.0024049608540339623,
      -0.0024507945458825705,
      -0.0024959422540184557
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566620911723573,
      10.335800853450147,
      10.096654351040982,
      9.852328367752053,
      9.605355390195777,
      9.357952026468002,
      9.112050232540364,
      8.869268104959389,
      8.6308812328277,
      8.397827734832527,
      8.170742750447458,
      7.949981898928671,
      7.735652110744622,
      7.527644542197655,
      7.325677226910456,
      7.129349252478239,
      6.938183526688775,
      6.751664050550766,
      6.569267051998392,
      6.390488922236659,
      6.214864118996456,
      6.041966936177696,
      5.8714247708052545,
      5.702938441401155,
      5.5362847107208095,
      5.371316914208153,
      5.2079665331880145,
      5.046248170263634,
      4.8862402673945935,
      4.728082048805291,
      4.571984757444779,
      4.418226164520583,
      4.267155190628188,
      4.119157062349982,
      3.974631814629756,
      3.8339767560870937,
      3.697576138221039,
      3.5657893506777256,
      3.4389335894226614,
      3.3172757257005276,
      3.2010274797334386,
      3.0903429705029795,
      2.9853160168205073,
      2.885969675274804,
      2.792252127728376,
      2.7040485383697512,
      2.621205656670123,
      2.543510835730684,
      2.4707191062270586,
      2.4025831570486362,
      2.338844319353176,
      2.27920794731559,
      2.2233524165629954,
      2.1709146585884675,
      2.121513357413249,
      2.0747895947671124,
      2.0304167089639757,
      1.9880956624443904,
      1.9475709481973558,
      1.9086293691638732,
      1.8711025913484955,
      1.8348555649374965,
      1.799775727886935,
      1.765763706535946,
      1.7327378652557375,
      1.7006316882346235,
      1.6693897075910846,
      1.638964679125908,
      1.6093157086204453,
      1.5804065613572065,
      1.5522045506260893,
      1.524678157885321,
      1.4977966774100284,
      1.4715324919635422,
      1.445860628407957,
      1.4207582088395414,
      1.3962042313412928,
      1.3721800550172678,
      1.3486690261588554,
      1.3256550701194136,
      1.3031225181154271,
      1.2810561893259713,
      1.2594414344906804,
      1.2382641556194935,
      1.217510809089443,
      1.1971698556339265,
      1.1772310607263918,
      1.1576838971910504,
      1.138517791357354,
      1.1197236846756269,
      1.1012951493938656,
      1.083225543375253,
      1.0655075831646237,
      1.0481333357598506,
      1.0310945564482161,
      1.014382906416308,
      0.9979900930714883,
      0.9819079575446342,
      0.9661285287382239,
      0.950644054232339,
      0.9354470167407847,
      0.9205301407110162,
      0.9058863925664453,
      0.8915089777657123,
      0.8773913341725947,
      0.8635271252876464,
      0.8499102318932921,
      0.8365347439624937,
      0.8233949520767383,
      0.8104853391677036,
      0.7978005721195328,
      0.7853354940818076,
      0.7730851170175845,
      0.7610446144363421,
      0.7492093142828218,
      0.7375746928873356,
      0.7261363681101124,
      0.7148900939243295,
      0.7038317544338897,
      0.6929573586242331,
      0.6822630354883575,
      0.6717450284547077,
      0.661399691549591,
      0.6512234847414784,
      0.641212969623792,
      0.6313647722784177,
      0.62167556916669,
      0.6121421484132041,
      0.6027614066540028,
      0.5935303384149634,
      0.584446028346255,
      0.5755056445425271,
      0.5667064337240221,
      0.5580457171247252,
      0.5495208868227849,
      0.5411294029628221,
      0.5328687908435897,
      0.5247366380895926,
      0.5167305925060889,
      0.5088483597675315,
      0.5010877018438702,
      0.4934464346523234,
      0.4859224263190692,
      0.4785136271244518,
      0.47121832661832863,
      0.46403499745452687,
      0.4569619886144115,
      0.4499975786377781,
      0.44313991547025045,
      0.43638674141695555,
      0.42973584522466696,
      0.42318520622538597,
      0.4167329420308442,
      0.4103772733941034,
      0.4041165009581747,
      0.39794898911337506,
      0.39187325396355915,
      0.38588840519755285,
      0.37999362567803885,
      0.37418787481193594,
      0.3684699750828365,
      0.3628386691279615,
      0.3572926564937658,
      0.35183064423788324,
      0.3464515472903019,
      0.34115432704224613,
      0.3359378509433266,
      0.33080088549052,
      0.32574194007709495,
      0.3207595165139835,
      0.31585222377014405,
      0.3110187491212092,
      0.306257903907279,
      0.301568620736932,
      0.29694983025956123,
      0.2924004577939782,
      0.28791944767917543,
      0.283505758064372,
      0.27915835022371094,
      0.2748761934654871,
      0.2706582685834192,
      0.26650357013345854,
      0.2624111077385707,
      0.25837990646674874,
      0.2544090554966024,
      0.25049798712938454,
      0.24664619860428888,
      0.24285304399262042,
      0.23911778782429838,
      0.23543964029189804,
      0.23181778069790218,
      0.228251372694444,
      0.22473957459369137,
      0.22128154612384046,
      0.21787645266394903,
      0.21452346813202064,
      0.21122177679330734,
      0.2079705509945678,
      0.20476889150810104,
      0.20161592575167953,
      0.1985108286513515,
      0.19545281084395308,
      0.19244111087306492,
      0.18947498970845986,
      0.18655372703416262,
      0.18367661900043447,
      0.1808429762098987,
      0.1780521227968707,
      0.1753033951337624,
      0.1725961414519485,
      0.1699297212886413,
      0.1673035048982148,
      0.16471687312303282,
      0.1621692171062912,
      0.15965993801239448,
      0.15718844668410883,
      0.15475416367488884,
      0.1523565188489501,
      0.14999495115265185,
      0.1476689087538185,
      0.14537784857071379,
      0.14312123623837678,
      0.14089854594708193,
      0.13870926025400174,
      0.1365528698491092,
      0.13442887368800377,
      0.1323367785383009,
      0.13027609899459616,
      0.12824635729382575,
      0.12624708321741132,
      0.12427781401630836,
      0.12233809415519173,
      0.12042747528276537,
      0.11854551609063557,
      0.11669178211146618,
      0.11486584566600883,
      0.11306728578734757,
      0.11129568801989138,
      0.10955064443049253,
      0.1078317533351901,
      0.10613861934529625,
      0.10447085321158596,
      0.10282807180306014,
      0.10120989772458215,
      0.09961595957026619,
      0.09804589161836715,
      0.09649933378060985,
      0.09497593146223358,
      0.09347533566359416,
      0.09199720262998176,
      0.09054119388840182,
      0.08910697624525002,
      0.0876942215731672,
      0.0863026067938238,
      0.08493181372544145,
      0.08358152910646671,
      0.08225144452836668,
      0.08094125613745992,
      0.07965066482363882,
      0.07837937605670567,
      0.07712709980291851,
      0.07589355037459133,
      0.07467844650545048,
      0.07348151111733146,
      0.07230247139411919,
      0.07114105872548526,
      0.06999700848092003,
      0.06887006017985822,
      0.06775995722544684,
      0.06666644697034908,
      0.0655892805298282,
      0.06452821274234563,
      0.06348300214995743,
      0.06245341104328317,
      0.06143920533583233,
      0.060440154438898934,
      0.059456031276772035,
      0.0584866120858753,
      0.05753167663322909,
      0.05659100800268914,
      0.05566439248941427,
      0.05475161958847539,
      0.05385248193829051,
      0.05296677535873647,
      0.05209429889455046,
      0.05123485446376712,
      0.0503882469561802,
      0.0495542842789903,
      0.04873277713389997,
      0.04792353923144254,
      0.04712638690537898,
      0.046341139341750416,
      0.04556761841779558,
      0.044805648793036876,
      0.04405505769865766,
      0.04331567493443539,
      0.04258733281797125,
      0.04186986635025505,
      0.04116311284101313,
      0.04046691206792332,
      0.039781106257556105,
      0.03910554005336138,
      0.03844006030826884,
      0.03778451624864479,
      0.03713875937338168,
      0.03650264340337231,
      0.035876024236348544,
      0.03525875998633365,
      0.03465071085320792,
      0.034051739067660916,
      0.03346170894192824,
      0.03288048693541319,
      0.032307941378280365,
      0.03174394268934958,
      0.03118836317520522,
      0.030641077085559083,
      0.030101960433502804,
      0.029570891204770022,
      0.029047749224655542,
      0.02853241598729623,
      0.028024774898942215,
      0.027524711025660977,
      0.027032111210218295,
      0.026546863979577045,
      0.026068859529077622,
      0.025597989719081234,
      0.025134148027416224,
      0.0246772294444895,
      0.02422713053309164,
      0.023783749520012262,
      0.023346986050515044,
      0.022916741349006012,
      0.022492918086845212,
      0.022075420376832904,
      0.02166415376045407,
      0.02125902515604262,
      0.02085994291436214,
      0.020466816752320066,
      0.020079557812784924,
      0.019698078386734492,
      0.019322292205730583,
      0.0189521143712961,
      0.01858746118776952,
      0.018228250190552506,
      0.017874400026754802,
      0.017525830632518002,
      0.017182463103713543,
      0.016844219933981615,
      0.016511024717340644,
      0.016182802058614432,
      0.015859477576837918,
      0.015540978192754818,
      0.01522723187422233,
      0.014918167678086994,
      0.014613715726568891,
      0.014313807289624223,
      0.0140183745409245,
      0.01372735059731709,
      0.013440669599871821,
      0.01315826675487565,
      0.012880078225961634,
      0.012606041061906947,
      0.012336093318771287,
      0.012070174013951872,
      0.011808223033731096,
      0.011550181068863097,
      0.011295989865609311,
      0.011045591857152181,
      0.010798930516933923,
      0.010555950149468423,
      0.010316595703687143,
      0.01008081301499171,
      0.009848548872805686,
      0.009619750716139353,
      0.009394366809317585,
      0.009172346223339147,
      0.008953638725206613,
      0.008738194962505873,
      0.008525966256954622,
      0.008316904547020647,
      0.008110962549366375,
      0.00790809368127481,
      0.007708252081468336,
      0.007511392595573874,
      0.0073174707835125165,
      0.007126442757664926,
      0.006938265316027023,
      0.006752895950829442,
      0.006570292713550221,
      0.006390414342887536,
      0.006213220147289943,
      0.006038670087122263,
      0.005866724789180512,
      0.005697345303023823,
      0.005530493400027341,
      0.00536613139130908,
      0.005204222024405988,
      0.0050447287124919865,
      0.004887615320600988,
      0.004732846418250328,
      0.004580387032329976,
      0.004430202757823351,
      0.0042822595974089175,
      0.004136524139725057,
      0.0039929633772144615,
      0.0038515448566020798,
      0.0037122365767929028,
      0.0035750070669785467,
      0.00343982532663531,
      0.0033066607991976953,
      0.00317548337305229,
      0.003046263454306555,
      0.002918971754937335,
      0.002793579534172837,
      0.002670058466662197,
      0.0025483806139001046,
      0.0024285183654942817,
      0.002310444655154406,
      0.002194132841694971,
      0.002079556725351495,
      0.001966690285948994,
      0.0018555080005076428,
      0.0017459847813170667,
      0.0016380958900627325,
      0.001531816910753655,
      0.0014271237937655838,
      0.0013239929777591327,
      0.0012224011190874896,
      0.0011223252482822621,
      0.0010237427560028825,
      0.0009266313680996673,
      0.0008309691281045232,
      0.0007367343300848113,
      0.0006439057514687684,
      0.0005524624426034123,
      0.0004623836380365978,
      0.00037364887222397444,
      0.00028623821092029275,
      0.00020013188656657892,
      0.00011531041811098197,
      3.175462323635705e-05,
      -5.055434851521237e-05,
      -0.00013163508353992293,
      -0.00021150591342385434,
      -0.0002901848787854274,
      -0.0003676897811270132,
      -0.00044403809352636537,
      -0.0005192471502786433,
      -0.0005933340367659501,
      -0.0006663153511062083,
      -0.000738207568394881,
      -0.0008090268828743223,
      -0.0008787884187731238,
      -0.0009475070916241203,
      -0.0010151979527011487,
      -0.0010818759619364965,
      -0.0011475559958173162,
      -0.0012122528930910374,
      -0.0012759812393106462,
      -0.0013387554878940627,
      -0.001400589813255336,
      -0.001461498255571317,
      -0.0015214946740806266,
      -0.0015805926870047205,
      -0.0016388058458685786,
      -0.0016961472878994992,
      -0.0017526301057897494,
      -0.001808267074548717,
      -0.001863070860825316,
      -0.001917053970659643,
      -0.0019702286460018164,
      -0.0020226071037477648,
      -0.0020742011191880122,
      -0.002125022536669098,
      -0.0021750828134225707,
      -0.002224393459239566,
      -0.00227296575050235,
      -0.0023208106729992036,
      -0.002367939098488667,
      -0.0024143617764495993,
      -0.002460089312754255,
      -0.002505132064969848
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566618609579205,
      10.335790461333719,
      10.096630466789764,
      9.852286105958724,
      9.605291023989329,
      9.357863043545704,
      9.111935105960688,
      8.869126053617672,
      8.630712411148586,
      8.39763280784042,
      8.170522470332088,
      7.949737005819668,
      7.735383265767793,
      7.5273520208666485,
      7.325361027177113,
      7.129009304076359,
      6.937819748929749,
      6.75127639488244,
      6.568855645059242,
      6.390053998364574,
      6.2144060702302255,
      6.041486434445452,
      5.870922643467372,
      5.702415718058637,
      5.535742679153564,
      5.3707571044001,
      5.207390738577313,
      5.045658476669599,
      4.8856389161407385,
      4.727471523027344,
      4.571367811392608,
      4.417606000811215,
      4.266535582876913,
      4.118541772773594,
      3.9740245321759886,
      3.8333810004974476,
      3.696995339343968,
      3.56522668200704,
      3.4383918377593274,
      3.3167572567278016,
      3.2005342165276693,
      3.089876386688107,
      2.9848770708598162,
      2.885558740768998,
      2.791868970589507,
      2.703692365059477,
      2.620875060556051,
      2.5432038869072207,
      2.4704337636324785,
      2.4023172422402927,
      2.338595505290674,
      2.2789737970370565,
      2.223130300379706,
      2.1707016354771334,
      2.121306748850042,
      2.0745869555084306,
      2.030215832385876,
      1.9878946716761117,
      1.9473683943227504,
      1.9084241905052386,
      1.8708940347955565,
      1.8346430936823812,
      1.7995589628496473,
      1.7655423857563064,
      1.732511836724395,
      1.7004008780387245,
      1.6691540969404342,
      1.6387242787164689,
      1.6090705430361139,
      1.580156681276632,
      1.551950024828407,
      1.5244190958748753,
      1.4975331978800699,
      1.4712647073441016,
      1.4455886463078655,
      1.4204821330342225,
      1.3959241741027042,
      1.371896158658672,
      1.348381422592304,
      1.3253638765274316,
      1.3028278410003795,
      1.2807581273710213,
      1.2591400804327313,
      1.2379595975382347,
      1.2172032022669006,
      1.1968594623153688,
      1.176918084009243,
      1.1573684962653865,
      1.1382000948327442,
      1.119404037803935,
      1.1009739106429064,
      1.0829029773784533,
      1.0651838816366463,
      1.0478086417300407,
      1.0307689803371036,
      1.0140565365184089,
      0.9976630026950003,
      0.9815802098337127,
      0.9658001795922665,
      0.9503151548512127,
      0.935117614833881,
      0.9202002817959606,
      0.9055561203932975,
      0.8911783344260555,
      0.8770603608103783,
      0.8631958621905933,
      0.849578718729215,
      0.8362030196516949,
      0.8230630548088171,
      0.8101533065124591,
      0.7974684409260411,
      0.7850033008783623,
      0.7727528976406995,
      0.7607124042882757,
      0.7488771483008877,
      0.7372426051756836,
      0.7258043923260173,
      0.7145582631731483,
      0.703500101359874,
      0.6926259153165556,
      0.6819318332258514,
      0.671414098155147,
      0.6610690638047779,
      0.6508931894633757,
      0.6408830361162348,
      0.6310352273667453,
      0.6213464392070086,
      0.6118134598185232,
      0.6024331858043681,
      0.5932026115370033,
      0.5841188212849866,
      0.5751789827553161,
      0.5663803422177478,
      0.5577202203860615,
      0.5491960088947877,
      0.54080516743888,
      0.5325452207277114,
      0.5244137558535314,
      0.5164084202675837,
      0.5085269191577776,
      0.500767013843091,
      0.49312651982594224,
      0.4856033101345714,
      0.4781953739984552,
      0.4709010508727512,
      0.46371878289027024,
      0.4566468942039787,
      0.4496836468902365,
      0.44282721425316923,
      0.43607538224933373,
      0.42942590430658534,
      0.4228767365549128,
      0.4164259810238957,
      0.410071848233043,
      0.4038126318650683,
      0.3976466914758365,
      0.3915725905391569,
      0.3855895062644101,
      0.3796965759389143,
      0.3738927290398602,
      0.36817676842583424,
      0.36254742357424874,
      0.35700338527690256,
      0.3515433695834571,
      0.34616630793270026,
      0.3408711462284041,
      0.335656742031953,
      0.33052185427678943,
      0.32546498695871234,
      0.32048463979297065,
      0.31557942023373975,
      0.31074801456391593,
      0.30598924659647936,
      0.3013020493765705,
      0.29668534811496317,
      0.2921380651738412,
      0.28765914369317047,
      0.28324753953613335,
      0.27890221217084,
      0.27462212986339724,
      0.270406272754231,
      0.2662536348888907,
      0.2621632252512951,
      0.2581340686213248,
      0.2541652644731913,
      0.250256259665692,
      0.24640654202842027,
      0.2426154596050154,
      0.23888227280154897,
      0.2352061890267109,
      0.23158638565608253,
      0.22802202514901204,
      0.22451226490743473,
      0.22105626405293885,
      0.21765318761927768,
      0.21430220917105786,
      0.21100251269831763,
      0.2077532679581698,
      0.2045535721910245,
      0.20140255483007038,
      0.19829939209684508,
      0.19524329551378125,
      0.19223350424243854,
      0.18926927957871997,
      0.18634990139426294,
      0.18347466601520723,
      0.18064288428456232,
      0.17785388018366907,
      0.1751069900969472,
      0.1724015622284627,
      0.16973695617521706,
      0.16711254215349644,
      0.16452770106609296,
      0.16198182411919693,
      0.15947431238997242,
      0.15700457659066844,
      0.15457203729714752,
      0.15217612434489677,
      0.14981627673959647,
      0.14749194256740208,
      0.1452025788345881,
      0.14294765116658573,
      0.1407266336842773,
      0.13853900883376355,
      0.13638426744422577,
      0.13426190850455735,
      0.1321714387667904,
      0.13011237281773247,
      0.12808423293227172,
      0.12608654890519191,
      0.12411885798872659,
      0.12218070459825042,
      0.1202716404283738,
      0.11839122412706292,
      0.1165390212844916,
      0.11471460420799451,
      0.11291755198590746,
      0.11114745023587658,
      0.10940389100122903,
      0.10768647261116629,
      0.10599479974572809,
      0.10432848321628511,
      0.10268713979179996,
      0.10107039220369587,
      0.09947786904995719,
      0.09790920467413526,
      0.09636403897461791,
      0.09484201748124488,
      0.09334279110692717,
      0.09186601614057685,
      0.09041135423288735,
      0.08897847224827267,
      0.08756704208350623,
      0.08617674072671498,
      0.08480724998424485,
      0.08345825670778197,
      0.08212945240926724,
      0.08082053338222105,
      0.07953120054734114,
      0.07826115938440177,
      0.07701011985485054,
      0.07577779632163319,
      0.07456390759884007,
      0.07336817674400573,
      0.07219033094861158,
      0.07103010163392127,
      0.06988722426958137,
      0.06876143832804323,
      0.06765248734860095,
      0.06656011867932103,
      0.06548408344917063,
      0.0644241366048046,
      0.06338003683406115,
      0.06235154654788644,
      0.06133843155789523,
      0.06034046129435208,
      0.05935740874488938,
      0.058389050355673704,
      0.05743516584997383,
      0.05649553826877727,
      0.055569953998184235,
      0.054658202682152934,
      0.05376007719230783,
      0.052875373329307467,
      0.05200389002534134,
      0.05114542929108897,
      0.05029979616166529,
      0.04946679857753772,
      0.04864624737179094,
      0.04783795617935414,
      0.04704174149658464,
      0.04625742256078302,
      0.0454848213103819,
      0.044723762456872714,
      0.04397407322386661,
      0.04323558349637869,
      0.04250812574188513,
      0.041791534873977826,
      0.04108564841846412,
      0.04039030612924718,
      0.03970535039240429,
      0.03903062579362637,
      0.03836597932136599,
      0.03771126028911891,
      0.03706632018429794,
      0.03643101290065097,
      0.03580519433741814,
      0.03518872263594466,
      0.03458145801137718,
      0.033983262811992876,
      0.033394001487746024,
      0.032813540529047815,
      0.03224174831475384,
      0.03167849525692078,
      0.0311236537019174,
      0.03057709793457459,
      0.03003870420249504,
      0.02950835054443095,
      0.028985916778147856,
      0.028471284533540777,
      0.02796433719076436,
      0.027464959914210645,
      0.026973039591693934,
      0.026488464805756683,
      0.026011125856073906,
      0.025540914610366023,
      0.025077724488504097,
      0.024621450611936997,
      0.02417198964139682,
      0.023729239766973585,
      0.023293100844300637,
      0.02286347397046529,
      0.022440261968821058,
      0.022023369046717135,
      0.021612700789321135,
      0.021208164222754573,
      0.02080966783160588,
      0.020417121283271545,
      0.02003043572326371,
      0.019649523636968196,
      0.019274298844176724,
      0.01890467628864736,
      0.018540572290218993,
      0.01818190448417099,
      0.01782859162568821,
      0.017480553742459295,
      0.01713771212648794,
      0.01679998912103112,
      0.01646730825550117,
      0.016139594288984472,
      0.015816773036357704,
      0.015498771389140124,
      0.0151855175061225,
      0.014876940372649366,
      0.014572970158506377,
      0.014273538058366592,
      0.013978576334052785,
      0.013688018144136423,
      0.013401797835478669,
      0.0131198506283998,
      0.01284211278896177,
      0.012568521385326317,
      0.012299014588093161,
      0.012033531351495506,
      0.011772011542818893,
      0.011514396107534007,
      0.011260626602066276,
      0.011010645575408736,
      0.010764396483674778,
      0.010521823665527901,
      0.010282872257294231,
      0.010047488111410981,
      0.009815618080389164,
      0.00958720961074371,
      0.009362211090521547,
      0.009140571576799166,
      0.008922240901098298,
      0.008707169663362322,
      0.008495309133674765,
      0.008286611448893588,
      0.008081029304236407,
      0.007878516257322164,
      0.007679026475970412,
      0.007482514851071959,
      0.00728893684485827,
      0.007098248736118498,
      0.006910407416786974,
      0.00672537028000953,
      0.006543095447395919,
      0.0063635417381364455,
      0.006186668526578759,
      0.006012435754482899,
      0.005840803958301175,
      0.005671734413417301,
      0.005505188848297623,
      0.005341129676211325,
      0.005179519650305928,
      0.005020322169301306,
      0.004863501324507487,
      0.004709021650755515,
      0.004556848146295521,
      0.004406946357936103,
      0.00425928234144469,
      0.004113822718942956,
      0.003970534605252585,
      0.003829385466027176,
      0.003690343505358671,
      0.0035533772292140305,
      0.0034184557162653968,
      0.0032855485220149487,
      0.003154625361968984,
      0.003025656635329353,
      0.0028986131434010297,
      0.0027734661720461044,
      0.002650187518999141,
      0.002528749217809183,
      0.00240912382883393,
      0.0022912842996294057,
      0.0021752039161242707,
      0.0020608564011372157,
      0.0019482159577146416,
      0.0018372570149814385,
      0.0017279545542000785,
      0.0016202837877677286,
      0.0015142203672962756,
      0.0014097403006413278,
      0.0013068199596342604,
      0.0012054360763456783,
      0.0011055656962452173,
      0.001007186247063129,
      0.0009102753994434758,
      0.0008148112654257969,
      0.0007207722107045915,
      0.0006281371133065485,
      0.0005368849498410626,
      0.0004469950055375692,
      0.000358446901166651,
      0.00027122058920390737,
      0.00018529644066082477,
      0.00010065509806707692,
      1.727734842541492e-05,
      -6.485571032393173e-05,
      -0.00014576269265513214,
      -0.00022546196685728007,
      -0.000303971396141319,
      -0.00038130877805966825,
      -0.0004574916532217596,
      -0.0005325372788811003,
      -0.0006064625376093461,
      -0.0006792842326808192,
      -0.0007510188613255376,
      -0.0008216825651478711,
      -0.0008912913141411757,
      -0.0009598603589786586,
      -0.0010274043543483775,
      -0.001093937861749022,
      -0.0011594755212172448,
      -0.001224032070486362,
      -0.0012876219003574512,
      -0.0013502593466868575,
      -0.0014119586193352739,
      -0.0014727336735163837,
      -0.0015325983982120601,
      -0.0015915663398276447,
      -0.0016496508381921547,
      -0.001706865142503309,
      -0.0017632222660837055,
      -0.001818735062989034,
      -0.0018734162720750278,
      -0.001927278331701349,
      -0.0019803334920135826,
      -0.0020325938059810194,
      -0.002084071246619396,
      -0.0021347775631685452,
      -0.0021847242444436397,
      -0.0022339227294689034,
      -0.0022823841978956093,
      -0.0023301196519787135,
      -0.002377139972617114,
      -0.0024234558411535866,
      -0.002469077825811479,
      -0.002514016302302687
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566616313131451,
      10.335780095550097,
      10.096606642460548,
      9.852243948118542,
      9.605226810391846,
      9.357774266579758,
      9.111820240904763,
      8.868984321459761,
      8.630543959647364,
      8.3974382956365,
      8.170302649163352,
      7.9494926173200176,
      7.735114973062701,
      7.527060100264337,
      7.325045477479105,
      7.128670057671546,
      6.937456726337861,
      6.750889546151642,
      6.568445096101922,
      6.389619986889628,
      6.2139489908357,
      6.041006959089053,
      5.87042159950665,
      5.701894135203392,
      5.535201846551014,
      5.370198551930926,
      5.206816259587129,
      5.045070155218904,
      4.885039002285728,
      4.726862505717949,
      4.570752435226963,
      4.416987460463856,
      4.265917643208004,
      4.117928185988987,
      3.973418977596423,
      3.8327869879678214,
      3.6964162873238484,
      3.564665753178167,
      3.4378518095601627,
      3.316240485367959,
      3.2000426159744744,
      3.0894114226967284,
      2.9844396956134753,
      2.885149309412531,
      2.791487234895285,
      2.7033375328703446,
      2.620545728655326,
      2.542898129569566,
      2.470149543963736,
      2.40205238636087,
      2.338347691343683,
      2.2787405818455233,
      2.2229090368101256,
      2.170489377849667,
      2.121100835745383,
      2.0743849563974703,
      2.030015553427521,
      1.987694246615005,
      1.9471663829370824,
      1.9082195382451066,
      1.8706859935082918,
      1.8344311302749379,
      1.7993427012387957,
      1.7653215656939067,
      1.7322863069040186,
      1.7001705652046684,
      1.6689189828605033,
      1.638484375001212,
      1.608825874928477,
      1.5799072998573598,
      1.5516959984102745,
      1.5241605337453978,
      1.4972702193237555,
      1.4709974249688678,
      1.4453171675371008,
      1.42020656124637,
      1.395644624368562,
      1.3716127724706202,
      1.3480943309820748,
      1.3250731960925133,
      1.3025336780031331,
      1.2804605802428068,
      1.2588392417476764,
      1.2376555553522726,
      1.2168961171644335,
      1.1965495990898025,
      1.1766056428600689,
      1.1570536341896627,
      1.137882947799173,
      1.1190849572573724,
      1.1006532489454448,
      1.0825809949957512,
      1.0648607677921713,
      1.0474845375146724,
      1.03044399457878,
      1.013730756413679,
      0.9973365006909256,
      0.9812530484990953,
      0.9654724147378357,
      0.9499868375143229,
      0.9347887929949739,
      0.9198710006086257,
      0.9052264235224745,
      0.8908482642069018,
      0.8767299584498456,
      0.8628651679601631,
      0.8492477719459558,
      0.835871858955856,
      0.8227317183828797,
      0.8098218318856238,
      0.7971368650760785,
      0.784671660172929,
      0.772421227821956,
      0.7603807404233985,
      0.7485455251320705,
      0.736911056903108,
      0.725472952586425,
      0.714226965010495,
      0.7031689770615264,
      0.6922949968254604,
      0.6816011519613375,
      0.6710836851053172,
      0.6607389492301828,
      0.650563403076638,
      0.6405536071770422,
      0.6307061826080947,
      0.6210178047418559,
      0.6114852620458453,
      0.6021054511918521,
      0.5928753663220719,
      0.5837920911439302,
      0.5748527928984967,
      0.5660547176814487,
      0.5573951857588874,
      0.5488715882416515,
      0.5404813843452081,
      0.5322220982357123,
      0.5240913165701339,
      0.5160866859576649,
      0.5082059112709603,
      0.5004467533485328,
      0.4928070271431032,
      0.4852846113648194,
      0.47787753988129517,
      0.470584199195284,
      0.4634029945351187,
      0.4563322260305115,
      0.449370139913798,
      0.44251493530920566,
      0.4357644424096182,
      0.4291163796018122,
      0.42256867981075613,
      0.4161194295313096,
      0.40976682894331534,
      0.4035091647129789,
      0.3973447917330227,
      0.39127234295907043,
      0.3852910330535167,
      0.37939995634815077,
      0.37359801424527883,
      0.3678839912348799,
      0.36225660467929577,
      0.3567145369937526,
      0.35125651344154346,
      0.3458814821509908,
      0.3405883737045862,
      0.33537603554574863,
      0.3302432193465057,
      0.3251884238914963,
      0.32021014684626214,
      0.3153069942719819,
      0.31047765140256733,
      0.3057209544038861,
      0.30103583671343465,
      0.2964212181982642,
      0.291876018422148,
      0.2873991792301184,
      0.28298965405201926,
      0.2786464008476809,
      0.2743683867702892,
      0.27015459114731366,
      0.26600400727701223,
      0.26191564389013405,
      0.25788852536794854,
      0.253921761522584,
      0.2500148136083245,
      0.2461671604173435,
      0.24237814367670366,
      0.23864701969752622,
      0.23497299322215925,
      0.2313552396645529,
      0.22779292019278363,
      0.22428519146716497,
      0.22083121187864527,
      0.21743014591559015,
      0.21408116695697016,
      0.21078345874527865,
      0.20753618620993725,
      0.2043384462092902,
      0.20118936986987426,
      0.19808813460582236,
      0.19503395268562926,
      0.1920260635853058,
      0.18906372891610704,
      0.18614622901891806,
      0.1832728601950719,
      0.1804429332641978,
      0.17765577233696214,
      0.174910713812619,
      0.17220710595396316,
      0.16954430823745917,
      0.1669216908519105,
      0.16433863474562263,
      0.16179453103957597,
      0.15928878082914574,
      0.15682079485888287,
      0.1543899936611919,
      0.1519958071108731,
      0.14963767414462872,
      0.14731504288010314,
      0.14502737021988196,
      0.14277412178515902,
      0.14055477165125813,
      0.13836880239365332,
      0.13621570484000955,
      0.1340949779166277,
      0.13200612835929215,
      0.12994867073372848,
      0.12792212734538333,
      0.12592602802675848,
      0.1239599100109239,
      0.12202331777064408,
      0.12011580303881465,
      0.11823692452064262,
      0.11638624773605002,
      0.11456334512490414,
      0.11276779565315014,
      0.11099918498648727,
      0.10925710518311216,
      0.10754115470635203,
      0.10585093826110485,
      0.10418606654223914,
      0.10254615642283242,
      0.1009308306666126,
      0.09933971788915293,
      0.0977724524623551,
      0.09622867430458937,
      0.0947080290015158,
      0.09321016743694747,
      0.0917347460463859,
      0.09028142641517482,
      0.08884987548626887,
      0.08743976520094718,
      0.08605077253241765,
      0.08468257946674138,
      0.08333487282342643,
      0.08200734418200638,
      0.08069968986341063,
      0.07941161085193682,
      0.07814281260640792,
      0.07689300517364252,
      0.07566190308887523,
      0.07444922518470677,
      0.07325469454247407,
      0.07207803843966816,
      0.07091898819795321,
      0.0697772794215528,
      0.06865265164624042,
      0.06754484846748271,
      0.06645361728257855,
      0.06537870924995785,
      0.06431987938332469,
      0.06327688640553121,
      0.06224949269216088,
      0.06123746422259337,
      0.06024057057578379,
      0.05925858480610715,
      0.05829128338289752,
      0.05733844606610261,
      0.056399855991608794,
      0.05547529960359547,
      0.05456456652300889,
      0.053667449625015545,
      0.05278374486792763,
      0.051913251292604046,
      0.05105577087442245,
      0.05021110867895442,
      0.0493790727619599,
      0.04855947403623929,
      0.04775212623841205,
      0.046956845848851465,
      0.04617345225778585,
      0.045401767375420926,
      0.04464161591432972,
      0.043892825274362904,
      0.04315522547989311,
      0.04242864888774331,
      0.041712930508984565,
      0.04100790789515554,
      0.04031342097059038,
      0.03962931214120673,
      0.038955426069144365,
      0.03829160984698863,
      0.037637712800043924,
      0.036993586525954934,
      0.0363590847997831,
      0.035734063669067145,
      0.03511838140777453,
      0.03451189823406817,
      0.03391447661126224,
      0.03332598103247664,
      0.032746277937346135,
      0.03217523593174718,
      0.03161272547233425,
      0.031058618996813236,
      0.030512790832972963,
      0.02997511720418935,
      0.029445476178358774,
      0.028923747681615545,
      0.02840981341069258,
      0.027903556809569904,
      0.02740486312918553,
      0.02691361923338077,
      0.0264297138246249,
      0.02595303721847145,
      0.02548348136655734,
      0.025020939879256007,
      0.024565307933892118,
      0.024116482227341803,
      0.023674361029729484,
      0.023238844155501245,
      0.022809832813024553,
      0.0223872297714056,
      0.021970939317036906,
      0.02156086710158225,
      0.021156920198748232,
      0.020759007084009122,
      0.020367037657929424,
      0.019980923116105928,
      0.01960057595740454,
      0.019225909933976163,
      0.01885684018412637,
      0.018493283039842167,
      0.018135156233411855,
      0.017782378581516392,
      0.017434870118645033,
      0.017092552203764187,
      0.016755347282102838,
      0.016423178880063925,
      0.016095971763708184,
      0.015773651847380426,
      0.015456146049569262,
      0.015143382547330034,
      0.014835290450077357,
      0.014531799966954119,
      0.014232842330495812,
      0.013938349838683745,
      0.013648255901286814,
      0.013362494772250951,
      0.013081001654611808,
      0.012803712878986424,
      0.0125305655774107,
      0.012261497914042654,
      0.011996448938102726,
      0.01173535854826891,
      0.011478167625938632,
      0.01122481796242995,
      0.010975252132435396,
      0.010729413663147806,
      0.010487246838175503,
      0.010248696809858918,
      0.01001370956857266,
      0.009782231896089195,
      0.009554211366774193,
      0.009329596377482588,
      0.009108335976750764,
      0.008890380084737274,
      0.008675679398468153,
      0.00846418537658332,
      0.008255850093456111,
      0.00805062628634429,
      0.007848467481855581,
      0.0076493279534641115,
      0.007453162586527769,
      0.007259926924021222,
      0.007069577208156907,
      0.006882070406088911,
      0.006697363970876162,
      0.006515416120033931,
      0.006336185620543356,
      0.006159631938657977,
      0.0059857150937730535,
      0.005814395711187328,
      0.005645635001274689,
      0.005479394728117384,
      0.005315637193114874,
      0.0051543252585154195,
      0.0049954224881137745,
      0.004838892997869785,
      0.004684701238735302,
      0.004532812200520709,
      0.0043831915927197715,
      0.004235805557081251,
      0.004090620712908999,
      0.003947604210473901,
      0.003806723602135522,
      0.0036679469758320216,
      0.0035312428613501635,
      0.003396580329730885,
      0.003263928998985365,
      0.0031332588766387823,
      0.003004540191167351,
      0.002877743968524988,
      0.0027528414220532953,
      0.0026298042723260358,
      0.002508604565899495,
      0.0023892149538499953,
      0.0022716084060544865,
      0.0021557581624939877,
      0.002041638168935964,
      0.0019292225801429193,
      0.0018184858810387653,
      0.0017094030539536343,
      0.0016019493911103952,
      0.0014961004677178625,
      0.0013918323640650157,
      0.0012891214762760159,
      0.001187944589050365,
      0.0010882787716630495,
      0.0009901014153654408,
      0.0008933902209124195,
      0.0007981233334778004,
      0.0007042791488524742,
      0.0006118365786765713,
      0.0005207746238710875,
      0.00043107262307570616,
      0.0003427103178660979,
      0.00025566762684927377,
      0.0001699249104327741,
      8.546270914744731e-05,
      2.2618772536038903e-06,
      -7.969638434048548e-05,
      -0.00016043055724673577,
      -0.00023995894834305097,
      -0.00031829956422845516,
      -0.0003954701502317727,
      -0.000471488241031492,
      -0.000546371025776595,
      -0.0006201354665470984,
      -0.0006927982758992663,
      -0.0007643758870633222,
      -0.0008348845185495627,
      -0.0009043401613369387,
      -0.000972758495288786,
      -0.001040154823855578,
      -0.0011065435867704673,
      -0.001171939065699684,
      -0.001236355542074628,
      -0.0012998073465448903,
      -0.001362308699215632,
      -0.0014238735937292055,
      -0.0014845159794337549,
      -0.0015442496824263584,
      -0.0016030882182311594,
      -0.0016610449211976455,
      -0.0017181330730233664,
      -0.001774365726085751,
      -0.0018297555956269275,
      -0.0018843153004621162,
      -0.0019380573553187664,
      -0.0019909939844548205,
      -0.0020431372844268644,
      -0.002094499099670123,
      -0.002145091132584428,
      -0.002194924919560717,
      -0.0022440117298456225,
      -0.002292362813551894,
      -0.002339989229406941,
      -0.0023869018754816397,
      -0.002433111347471105,
      -0.002478628349298141,
      -0.0025234631689582602
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566614024211367,
      10.335769764436913,
      10.096582895621731,
      9.852201919655673,
      9.605162786038951,
      9.357685742780255,
      9.111705697199143,
      8.86884298179683,
      8.630375960044207,
      8.397244286700767,
      8.170083386123043,
      7.949248843703969,
      7.734847353550857,
      7.526768912425595,
      7.3247307222021325,
      7.128331667795184,
      6.937094624122512,
      6.750503682466431,
      6.5680355989230685,
      6.3891870950745195,
      6.2134931009759145,
      6.040528740619189,
      5.869921881827624,
      5.701373948849764,
      5.534662480428432,
      5.369641537341964,
      5.206243388871847,
      5.044483510196415,
      4.884440836019797,
      4.726255308082491,
      4.570138946260671,
      4.416370867321183,
      4.265301701307333,
      4.117316637972316,
      3.9728154924096737,
      3.832195064546472,
      3.695839333718898,
      3.5641069216075967,
      3.437313866207517,
      3.3157257766277337,
      3.1995530468196,
      3.0889484503834073,
      2.9840042648954084,
      2.8847417663671107,
      2.791107324429547,
      2.702984461197472,
      2.620218090472096,
      2.5425939993302387,
      2.4698668862360904,
      2.4017890290085444,
      2.3381013156585553,
      2.2785087483010913,
      2.222689038799804,
      2.170278240540742,
      2.1208959281877346,
      2.074183873105821,
      2.0298161228278033,
      1.9874946203500905,
      1.9469651342209837,
      1.9080156226962361,
      1.8704786707362466,
      1.834219873082829,
      1.7991271376607598,
      1.7651014379378607,
      1.7320614662061222,
      1.699940939712265,
      1.6686845552624705,
      1.6382451569374235,
      1.6085818918453747,
      1.5796586029570214,
      1.5514426558900827,
      1.5239026552001258,
      1.4970079242574899,
      1.4707308261199044,
      1.4450463723685825,
      1.4199316730334788,
      1.3953657668875523,
      1.3713300846387795,
      1.3478079418778781,
      1.3247832211833925,
      1.3022402222762406,
      1.2801637411142346,
      1.2585391113393063,
      1.2373522215237165,
      1.2165897394900265,
      1.196240442012407,
      1.17629390663178,
      1.1567394763137708,
      1.137566507237711,
      1.1187665864638883,
      1.100333298392254,
      1.0822597241716485,
      1.0645383649387794,
      1.0471611436493753,
      1.0301197186505509,
      1.0134056854255535,
      0.9970107069371009,
      0.9809265944848297,
      0.9651453561971025,
      0.949659225393193,
      0.9344606747599203,
      0.9195424214412161,
      0.9048974266384862,
      0.8905188917771318,
      0.8764002514942889,
      0.8625351666411547,
      0.8489175158531175,
      0.835541386976756,
      0.8224010687691885,
      0.8094910422096113,
      0.7968059724333758,
      0.784340700665403,
      0.772090237405593,
      0.7600497545028843,
      0.7482145781984246,
      0.7365801831799527,
      0.7251421858553344,
      0.7138963383530667,
      0.7028385231521842,
      0.6919647477849284,
      0.6812711393294798,
      0.6707539397557843,
      0.6604095011750999,
      0.6502342818987926,
      0.6402248419973984,
      0.6303778003664889,
      0.6206898316204901,
      0.6111577244263252,
      0.6017783752080255,
      0.5925487779665102,
      0.583466016216086,
      0.5745272567943027,
      0.5657297451762592,
      0.5570708014199305,
      0.5485478161730106,
      0.5401582480538428,
      0.5318996205670612,
      0.523769519942443,
      0.5157655924112381,
      0.5078855423602842,
      0.5001271302313575,
      0.49248817028197545,
      0.48496655141714584,
      0.47756035425201887,
      0.4702680014892283,
      0.46308786301292754,
      0.45601821591815983,
      0.4490572912709176,
      0.44220330362660604,
      0.435454133208835,
      0.4288074737193277,
      0.42226123349858546,
      0.41581348244382715,
      0.4094624094931262,
      0.40320629388232126,
      0.3970434855578487,
      0.3909727110868455,
      0.38499318866506194,
      0.379103973193428,
      0.37330394002036427,
      0.3675918564105233,
      0.36196642790580186,
      0.3564263294683928,
      0.3509702973726566,
      0.34559729477453666,
      0.34030623731873066,
      0.33509596244428486,
      0.32996521481357505,
      0.3249124882632806,
      0.3199362783159315,
      0.315035189520879,
      0.31020791148699806,
      0.3054532901033342,
      0.30077025370264515,
      0.2961577176985076,
      0.29161459963722863,
      0.2871398404379406,
      0.28273239150110335,
      0.2783912092224182,
      0.27411525976224316,
      0.2699035217026201,
      0.26575498808101283,
      0.26166866708527786,
      0.25764358304442325,
      0.2536788559078871,
      0.24977396117633194,
      0.2459283683274223,
      0.24214141320522134,
      0.23841234810338646,
      0.23474037485750654,
      0.23112466709888466,
      0.22756438465433762,
      0.22405868323978026,
      0.2206067206171776,
      0.21720766105978498,
      0.21386067758295868,
      0.21056495368195424,
      0.20731964938248143,
      0.20412386109760577,
      0.2009767217741063,
      0.19787740994216493,
      0.1948251385779239,
      0.19181914768731076,
      0.18885869924769444,
      0.1859430736497221,
      0.18307156739849467,
      0.18024349128941808,
      0.17745816952390314,
      0.17471493854064288,
      0.17201314656492978,
      0.16935215306560994,
      0.16673132825337206,
      0.164150053025345,
      0.16160771846663136,
      0.1591037256829163,
      0.15663748553195941,
      0.15420841839331595,
      0.15181595407150072,
      0.14945953158454817,
      0.1471385989712586,
      0.14485261321887266,
      0.14260103992299025,
      0.14038335319426454,
      0.13819903564676053,
      0.136047578029119,
      0.13392847922908582,
      0.13184124607936012,
      0.12978539308522627,
      0.12776044253120356,
      0.12576592435047326,
      0.12380137569953507,
      0.12186634107649164,
      0.1199603721759653,
      0.11808302773437791,
      0.1162338733212537,
      0.11441248127286836,
      0.11261843078070863,
      0.11085130744895788,
      0.10911070338769838,
      0.10739621705351676,
      0.10570745314923434,
      0.10404402245493954,
      0.10240554186995819,
      0.10079163418246012,
      0.09920192802432282,
      0.09763605769887157,
      0.09609366325700469,
      0.09457439035107354,
      0.09307788998688915,
      0.09160381852301482,
      0.09015183763742471,
      0.08872161422370267,
      0.08731282031140182,
      0.08592513296611931,
      0.08455823417541244,
      0.08321181086013811,
      0.08188555454660845,
      0.08057916166595774,
      0.07929233315181868,
      0.07802477465204939,
      0.07677619624826575,
      0.0755463124201518,
      0.07433484208941661,
      0.07314150837394412,
      0.07196603861821373,
      0.07080816429252886,
      0.06966762093885392,
      0.06854414811870298,
      0.06743748951603241,
      0.06634739257112898,
      0.06527360859925199,
      0.06421589259918628,
      0.06317400339301088,
      0.06214770348107662,
      0.061136758859820416,
      0.06014093911319845,
      0.0591600173201334,
      0.05819376988576761,
      0.05724197672879829,
      0.05630442103647886,
      0.05538088935624262,
      0.05447117143897498,
      0.05357506018972543,
      0.052692351560385736,
      0.051822844612609345,
      0.05096634152244065,
      0.05012264744413768,
      0.04929157034070828,
      0.0484729211427907,
      0.047666513772601796,
      0.046872164823092526,
      0.04608969374318653,
      0.045318922531392705,
      0.0445596758144392,
      0.04381178100554106,
      0.043075068181011686,
      0.04234936990960076,
      0.041634521304672024,
      0.040930359916961354,
      0.040236725799287075,
      0.039553461313426845,
      0.0388804111940071,
      0.038217422602531144,
      0.03756434490085437,
      0.03692102978005986,
      0.03628733114062946,
      0.03566310509557494,
      0.03504820987060124,
      0.03444250580152115,
      0.03384585540037249,
      0.03325812319423712,
      0.03267917574392699,
      0.03210888168923653,
      0.03154711156706824,
      0.030993737827538958,
      0.03044863492773542,
      0.02991167912124279,
      0.029382748540779585,
      0.028861723142189925,
      0.028348484712315946,
      0.02784291674437129,
      0.02734490454856793,
      0.02685433518546282,
      0.02637109732354661,
      0.025895081268196386,
      0.025426179098989116,
      0.024964284387293343,
      0.0245092923908234,
      0.024061099898421513,
      0.023619605226940846,
      0.023184708223906687,
      0.02275631026397137,
      0.022334314136255622,
      0.021918624153598812,
      0.02150914610899381,
      0.02110578701466336,
      0.020708455476215047,
      0.020317061340798595,
      0.019931515853163054,
      0.019551731568814578,
      0.01917762235508631,
      0.018809103518073328,
      0.018446091451702243,
      0.01808850380660597,
      0.017736259504502458,
      0.017389278732217715,
      0.017047482819759905,
      0.016710794231242252,
      0.01637913661066172,
      0.016052434692547378,
      0.01573061435064043,
      0.015413602714450074,
      0.015101327934371309,
      0.014793719224601067,
      0.014490706878226291,
      0.014192222127475132,
      0.01389819735122239,
      0.013608565873627151,
      0.01332326207140844,
      0.013042221269333916,
      0.012765379760133942,
      0.012492674739071851,
      0.01222404442682316,
      0.011959427922307577,
      0.01169876528848426,
      0.01144199738716041,
      0.01118906598423134,
      0.010939913769331894,
      0.010694484239070828,
      0.010452721812741081,
      0.01021457168414537,
      0.00997997990551344,
      0.009748893373262742,
      0.009521259606837935,
      0.009297026943509017,
      0.009076144602996817,
      0.008858562532717051,
      0.008644231427585282,
      0.008433102721228554,
      0.008225128605182708,
      0.008020261968535905,
      0.007818456251438566,
      0.007619665688465328,
      0.007423845332522486,
      0.00723095074497924,
      0.007040938228438511,
      0.006853764680554096,
      0.00666938769860279,
      0.006487765540202504,
      0.006308857023044525,
      0.006132621624308539,
      0.005959019391376715,
      0.005788010988740262,
      0.0056195576325639455,
      0.00545362119939476,
      0.00529016405739523,
      0.005129149166723978,
      0.004970539965956889,
      0.004814300578591322,
      0.0046603955702275626,
      0.0045087900386710554,
      0.004359449648597199,
      0.004212340509624754,
      0.0040674294184240125,
      0.003924683454936353,
      0.0037840702730922446,
      0.003645557967367066,
      0.0035091151065743302,
      0.0033747108014457066,
      0.003242314640500093,
      0.003111896640708499,
      0.002983427180682781,
      0.002856877196111692,
      0.0027322179446321814,
      0.002609421217787313,
      0.0024884591536577815,
      0.002369304426532573,
      0.002251930018794374,
      0.002136309375876286,
      0.0020224162760968498,
      0.0019102248490899328,
      0.0017997096520053187,
      0.0016908455760478722,
      0.0015836080662561583,
      0.0014779727704114624,
      0.0013739156850647513,
      0.0012714133415073984,
      0.001170442503432666,
      0.0010709802412970427,
      0.0009730039884913392,
      0.000876491650027325,
      0.0007814213312082904,
      0.0006877714617846552,
      0.000595520787425166,
      0.0005046484454186678,
      0.0004151338572695073,
      0.0003269565970040523,
      0.00024009678826618168,
      0.00015453475877207014,
      7.025110323043112e-05,
      -1.2773316517614223e-05,
      -9.455715400888167e-05,
      -0.00017511904582998128,
      -0.00025447738570770267,
      -0.0003326500851409781,
      -0.0004096547645700589,
      -0.00048550891154137683,
      -0.0005602297331585982,
      -0.000633834096411442,
      -0.0007063387659895112,
      -0.0007777601394866206,
      -0.0008481142862735728,
      -0.0009174173860936264,
      -0.0009856851624417155,
      -0.001052932982706887,
      -0.001119176141141847,
      -0.0011844290092406465,
      -0.001248705454773711,
      -0.0013120195133038807,
      -0.0013743851123731322,
      -0.0014358160942020144,
      -0.001496326295854891,
      -0.0015559293934193333,
      -0.0016146390131068194,
      -0.0016724685364638422,
      -0.001729431140372075,
      -0.0017855397213903067,
      -0.0018408070292932404,
      -0.0018952457487429438,
      -0.0019488682884361017,
      -0.0020016867469271906,
      -0.002053713284769709,
      -0.00210495977784837,
      -0.0021554378510387946,
      -0.0022051590830985336,
      -0.002254134861263911,
      -0.002302376285924491,
      -0.0023498943860275887,
      -0.0023966999970418275,
      -0.0024428037524129964,
      -0.002488216271816691,
      -0.0025329479164358988
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566611740886172,
      10.335759459656286,
      10.09655921048305,
      9.85216000073053,
      9.605098923299689,
      9.357597435874423,
      9.111591430173378,
      8.868701981881662,
      8.630208365525817,
      8.397050748556673,
      8.169864658968661,
      7.949005670398987,
      7.73458039827794,
      7.526478453707834,
      7.324416759707182,
      7.127994134405872,
      6.936733442239152,
      6.750118800117722,
      6.5676271440537946,
      6.388755309718561,
      6.213038382446835,
      6.0400517437940255,
      5.869423440206626,
      5.700855096764824,
      5.53412450979692,
      5.369085979306737,
      5.2056720357366615,
      5.043898442532367,
      4.883844304777923,
      4.7256497999070834,
      4.56952719752844,
      4.415756060787993,
      4.2646875863756355,
      4.116706951353631,
      3.972213894068756,
      3.8316050439974942,
      3.695264290072808,
      3.563549996932977,
      3.4367778174285553,
      3.3152129404226955,
      3.1990653199991876,
      3.0884872826469136,
      2.9835705945017246,
      2.884335933938396,
      2.7907290707648555,
      2.702632989469703,
      2.6198919955413427,
      2.542291356549423,
      2.4695856607687845,
      2.401527050303187,
      2.3378562665240055,
      2.2782781918579014,
      2.2224702717038856,
      2.170068292619696,
      2.1206921728452346,
      2.073983909440158,
      2.0296177833503086,
      1.9872960608458303,
      1.946764932271466,
      1.9078127370183307,
      1.8702723632630789,
      1.8340096182556958,
      1.7989125636431216,
      1.7648822883225581,
      1.731837592980344,
      1.6997122719984765,
      1.6684510766374465,
      1.638006879836237,
      1.6083388421067797,
      1.5794108325816751,
      1.551190234479508,
      1.5236456929816844,
      1.4967465409490215,
      1.4704651342514772,
      1.4447764795329128,
      1.4196576828177723,
      1.3950878026440103,
      1.3710482850880958,
      1.3475224363301357,
      1.324494124949187,
      1.3019476407616721,
      1.2798677722698037,
      1.258239847375395,
      1.2370497501949427,
      1.2162842209347737,
      1.1959321410400803,
      1.17598302412119,
      1.1564261692291715,
      1.1372509145133292,
      1.1184490604242758,
      1.100014189481598,
      1.0819392916961572,
      1.064216797106519,
      1.0468385806760148,
      1.0297962690824805,
      1.0130814365648169,
      0.9966857313649496,
      0.9806009547268283,
      0.9648191080443406,
      0.94933241988435,
      0.9341333595901563,
      0.919214641850291,
      0.9045692262382945,
      0.8901903124536988,
      0.8760713345215803,
      0.8622059522105151,
      0.848588043459011,
      0.8352116952856045,
      0.8220711959891764,
      0.8091610259441756,
      0.7964758495268679,
      0.7840105078040585,
      0.7717600103117512,
      0.7597195284694925,
      0.7478843881834947,
      0.7362500634867146,
      0.7248121702365743,
      0.7135664599807146,
      0.702508814554099,
      0.691635240671583,
      0.6809418649209772,
      0.670424928999853,
      0.6600807846532147,
      0.6499058893436082,
      0.6398968027683613,
      0.6300501410188446,
      0.6203625782427137,
      0.6108309032906858,
      0.601452012577179,
      0.5922228999450532,
      0.5831406486477709,
      0.5742024252038324,
      0.5654054745015145,
      0.5567471159917018,
      0.5482247398909695,
      0.5398358044553024,
      0.5315778328128553,
      0.5234484104408371,
      0.5154451832748282,
      0.5075658551445067,
      0.4998081856671502,
      0.49216998937458495,
      0.4846491650657414,
      0.47724386642620553,
      0.46995251618221556,
      0.46277345238048945,
      0.4557049311591241,
      0.4487451696160112,
      0.44189237321512703,
      0.4351444864699279,
      0.4284992045758037,
      0.4219544065269185,
      0.4155081429509262,
      0.4091585897312764,
      0.4029040173064918,
      0.3967427695980718,
      0.3906736661684098,
      0.3846959285147024,
      0.37880857190251155,
      0.37301044529548943,
      0.3673002985290366,
      0.3616768259851975,
      0.35613869476599314,
      0.3506846642987388,
      0.3453136959596762,
      0.34002469206531727,
      0.3348164812880914,
      0.32968780176125445,
      0.3246371428493192,
      0.3196629981753848,
      0.3147639709418149,
      0.30993875694913886,
      0.3051862108971825,
      0.30050525474690903,
      0.2958947997274804,
      0.291353761265714,
      0.28688107965754783,
      0.282475704257867,
      0.2781365901983327,
      0.27386270269190194,
      0.26965301967175814,
      0.2655065335915285,
      0.2614222523195342,
      0.2573991997576988,
      0.25343650601134393,
      0.24953366100971575,
      0.24569012528834835,
      0.24190522854550048,
      0.23817821894676852,
      0.23450829564097603,
      0.2308946303658276,
      0.22733638177561014,
      0.22383270468377975,
      0.2203827561516332,
      0.21698569992372335,
      0.21364070879562908,
      0.2103469660952164,
      0.20710362702455581,
      0.20390978751699823,
      0.20076458219091037,
      0.197667190721547,
      0.19461682679601935,
      0.19161273092781056,
      0.18865416538647334,
      0.18574041083085646,
      0.18287076390837906,
      0.18004453553252445,
      0.17726104978173154,
      0.17451964323861163,
      0.1718196641313784,
      0.1691604718542397,
      0.16654143671883856,
      0.16396193949169838,
      0.16142137118692845,
      0.15891913287911058,
      0.15645463542113855,
      0.1540272992324932,
      0.1516365541702871,
      0.14928183925375796,
      0.1469626025028711,
      0.14467830070643717,
      0.14242839957049555,
      0.14021237328779554,
      0.13802970437353967,
      0.13587988357543596,
      0.1337624097252044,
      0.1316767896647857,
      0.12962253804973506,
      0.12759917717641625,
      0.12560623686369607,
      0.12364325435772712,
      0.12170977422119203,
      0.11980534804813109,
      0.11792953455671079,
      0.11608189940567279,
      0.11426201503221285,
      0.11246946058212166,
      0.11070382171463626,
      0.10896469047281773,
      0.10725166536572725,
      0.10556435108339203,
      0.10390235852487863,
      0.10226530456693392,
      0.1006528120050619,
      0.09906450959715632,
      0.09750003171994476,
      0.09595901842622,
      0.09444111531731582,
      0.092945973454073,
      0.09147324920969256,
      0.09002260435105212,
      0.08859370587749929,
      0.08718622575072593,
      0.08579984106823696,
      0.08443423389175841,
      0.08308909112517576,
      0.08176410442835746,
      0.08045897020501398,
      0.07917338950569879,
      0.07790706804261963,
      0.0766597160172609,
      0.07543104789462496,
      0.07422078263118234,
      0.07302864328925147,
      0.07185435725787707,
      0.0706976560949028,
      0.0695582755430407,
      0.06843595525600987,
      0.0673304388250583,
      0.06624147375614912,
      0.06516881148064962,
      0.06411220700496777,
      0.06307141922244239,
      0.06204621051379174,
      0.06103634704801054,
      0.06004159847349744,
      0.05906173789575951,
      0.05809654188689457,
      0.05714579042533683,
      0.05620926682292826,
      0.05528675754329713,
      0.054378052337517184,
      0.053482944169282655,
      0.0526012291904028,
      0.051732706588208804,
      0.05087717853982809,
      0.05003445015228645,
      0.04920432955342131,
      0.04838662776534626,
      0.04758115860789105,
      0.046787738726993724,
      0.046006187557608984,
      0.045236327341701923,
      0.04447798283860542,
      0.043730981541400295,
      0.04299515356957546,
      0.04227033158119839,
      0.04155635062794007,
      0.04085304835006695,
      0.04016026486012106,
      0.03947784255323667,
      0.038805626253670344,
      0.03814346309113368,
      0.03749120266224774,
      0.036848696676695214,
      0.036215799082548,
      0.035592365989751434,
      0.03497825575821794,
      0.034373328779428794,
      0.033777447565007425,
      0.03319047672212466,
      0.03261228298530092,
      0.03204273494438165,
      0.03148170317714746,
      0.030929060342147464,
      0.030384680821300407,
      0.029848440979964724,
      0.029320218964013448,
      0.028799894828114094,
      0.02828735037213066,
      0.027782469245503975,
      0.027285136747034283,
      0.02679523998086292,
      0.02631266774575926,
      0.025837310475648367,
      0.02536906017374634,
      0.024907810556331185,
      0.024453456802332425,
      0.024005895836735174,
      0.02356502606075,
      0.023130747380634007,
      0.02270296114037609,
      0.02228157025069706,
      0.02186647910169768,
      0.021457593443085673,
      0.021054820466820008,
      0.020658068812784012,
      0.02026724835710726,
      0.019882270438353448,
      0.0195030476055952,
      0.019129493880260823,
      0.018761524489289395,
      0.01839905587028845,
      0.01804200580849201,
      0.017690293298957896,
      0.017343838534790084,
      0.01700256289970636,
      0.016666388837933664,
      0.016335240167502475,
      0.01600904175610072,
      0.01568771954473445,
      0.015371200651894082,
      0.015059413144938676,
      0.014752286292666903,
      0.014449750523315597,
      0.014151737196221596,
      0.013858178695555836,
      0.013569008381311877,
      0.013284160582593654,
      0.013003570708963042,
      0.012727175149780163,
      0.012454911145652147,
      0.012186716943169768,
      0.011922531705336822,
      0.011662295412845405,
      0.011405949150560861,
      0.011153434748853048,
      0.010904694854572562,
      0.010659673132446153,
      0.010418313922910425,
      0.01018056252029821,
      0.009946364964316844,
      0.009715668095707362,
      0.009488419608452895,
      0.009264568022647399,
      0.009044062469785789,
      0.008826852925933552,
      0.008612890155164168,
      0.008402125618327363,
      0.008194511447941333,
      0.00799000057844064,
      0.007788546618741424,
      0.007590103860948661,
      0.007394627304755084,
      0.0072020726843464965,
      0.00701239630094107,
      0.006825555093091319,
      0.006641506696805281,
      0.006460209342756843,
      0.006281621889690344,
      0.006105703847427727,
      0.005932415294184691,
      0.0057617169617676664,
      0.005593570113042373,
      0.005427936542892228,
      0.005264778790687704,
      0.005104059827674121,
      0.004945743261966116,
      0.004789793048986839,
      0.004636173814510101,
      0.004484850766827246,
      0.004335789629999639,
      0.004188956623854864,
      0.004044318325111697,
      0.003901842006857745,
      0.003761495382862979,
      0.0036232465062532057,
      0.003487063994121061,
      0.0033529169996574255,
      0.003220775091060204,
      0.0030906083164645138,
      0.002962387239299097,
      0.002836082688954614,
      0.002711666053396984,
      0.0025891091605449016,
      0.0024683841804032025,
      0.0023494637384440984,
      0.0022323208717526903,
      0.002116929031319233,
      0.0020032618761282543,
      0.001891293633966168,
      0.0017809990067242213,
      0.001672352994616923,
      0.0015653309827679883,
      0.001459908548902676,
      0.0013560618511088698,
      0.001253767343278117,
      0.0011530018736139863,
      0.0010537426317585711,
      0.0009559670721582876,
      0.0008596529589407989,
      0.000764778405992448,
      0.0006713219182128159,
      0.0005792623390152116,
      0.0004885788052868236,
      0.0003992507418326092,
      0.00031125793983997094,
      0.00022458040096541923,
      0.000139198462476373,
      5.509269462222322e-05,
      -2.7755857501766338e-05,
      -0.00010936612393317549,
      -0.0001897565114171238,
      -0.0002689452748005329,
      -0.0003469504485949541,
      -0.00042378970794676853,
      -0.0004994803490496872,
      -0.0005740395349531197,
      -0.0006474843122157746,
      -0.0007198312898086601,
      -0.000791096926901671,
      -0.0008612973429755017,
      -0.0009304484767136073,
      -0.000998566008428885,
      -0.0010656654344990595,
      -0.0011317619563223893,
      -0.0011968705209802481,
      -0.0012610057337759592,
      -0.001324181304651502,
      -0.0013864108400933263,
      -0.001447707972768658,
      -0.001508086287737435,
      -0.0015675593377282966,
      -0.001626140607229589,
      -0.0016838433619860364,
      -0.0017406806692170749,
      -0.001796665468001727,
      -0.0018518105182287145,
      -0.0019061285271743987,
      -0.0019596318556917357,
      -0.002012332611507797,
      -0.0020642428492258047,
      -0.002115374477908248,
      -0.0021657391676394317,
      -0.0022153483955775865,
      -0.002264213420860121,
      -0.0023123454879676003,
      -0.002359755667190852,
      -0.002406454637341721,
      -0.0024524531540134685,
      -0.002497761767132467,
      -0.00254239077356862
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566609460307559,
      10.335749168297163,
      10.09653555642528,
      9.852118134568853,
      9.605035137095495,
      9.357509230931054,
      9.111477288673715,
      8.868561129989684,
      8.630040942267069,
      8.396857404668161,
      8.169646151093431,
      7.948762741565606,
      7.73431371296153,
      7.526188289622522,
      7.324103117090667,
      7.127656946111847,
      6.936372631234645,
      6.749734315811372,
      6.567219113896029,
      6.3883239753018675,
      6.212584142868626,
      6.039575255504806,
      5.868925538447745,
      5.700336816669575,
      5.53358714278129,
      5.368531057996118,
      5.205101352520103,
      5.043314078412448,
      4.883248510423395,
      4.725045060159974,
      4.568916245759641,
      4.415142171374243,
      4.264074493108633,
      4.11609838574984,
      3.9716135000799992,
      3.8310162969951915,
      3.694690573676718,
      3.5629944391978885,
      3.436243161739463,
      3.3147015115476735,
      3.1985790031929127,
      3.088027516860361,
      2.983138308194611,
      2.88393145921056,
      2.7903521416312396,
      2.7022828052554617,
      2.6195671470941666,
      2.541989915437074,
      2.4693055907293897,
      2.4012661800956114,
      2.3376122800387007,
      2.2780486537285314,
      2.2222524802167336,
      2.1698592808511505,
      2.1204893179208115,
      2.0737848141042208,
      2.029420283609531,
      1.9870983158705966,
      1.9465655223784493,
      1.9076106234255599,
      1.870066810538175,
      1.8338001035700469,
      1.7986987121016713,
      1.7646638465156068,
      1.731614414971877,
      1.699484288517438,
      1.6682182727466839,
      1.637769269636238,
      1.6080964528695958,
      1.5791637164371883,
      1.5509384610717947,
      1.5233893728978785,
      1.4964857944285592,
      1.4702000747596284,
      1.444507215246201,
      1.4193843177063263,
      1.3948104602912745,
      1.370767103987248,
      1.347237546120431,
      1.324205641164481,
      1.3016556689237992,
      1.2795724102343773,
      1.2579411876054356,
      1.2367478807386159,
      1.2159793021620193,
      1.195624438234819,
      1.1756727380647531,
      1.1561134574368348,
      1.1369359162026642,
      1.1181321281388246,
      1.0996956736676533,
      1.0816194513427124,
      1.063895820750958,
      1.0465166094078437,
      1.029473411341032,
      1.012757779377714,
      0.996361346972064,
      0.9802759052437556,
      0.9644934489854753,
      0.9490062021433228,
      0.9338066308474492,
      0.9188874475116746,
      0.9042416100071913,
      0.8898623168435228,
      0.8757430006983201,
      0.8618773203349955,
      0.8482591528682927,
      0.8348825849208802,
      0.8217419039002152,
      0.8088315898542396,
      0.7961463064746359,
      0.783680893980848,
      0.7714303615012781,
      0.7593898799199541,
      0.7475547746755757,
      0.7359205190637125,
      0.7244827282823703,
      0.713237153518436,
      0.7021796761051011,
      0.6913063023106383,
      0.6806131583244526,
      0.6700964849518277,
      0.6597526333829434,
      0.6495780608556567,
      0.6395693262248665,
      0.6297230432484984,
      0.6200358854682361,
      0.6105046419825031,
      0.6011262091331383,
      0.5918975804661859,
      0.582815838809294,
      0.5738781504504803,
      0.565081759855296,
      0.5564239859553561,
      0.547902218624569,
      0.5395139153613797,
      0.531256598929183,
      0.5231278541651995,
      0.5151253263888774,
      0.50724671900902,
      0.49948979141123795,
      0.4918523630646717,
      0.4843323399680138,
      0.4769279440022092,
      0.46963759868032334,
      0.4624596107907027,
      0.4553922158348662,
      0.44843361736177384,
      0.4415820118049983,
      0.4348354081039117,
      0.42819150310777465,
      0.4216481465991256,
      0.4152033697146674,
      0.4088553353916768,
      0.4026023051501793,
      0.39644261699400074,
      0.3903751836892322,
      0.38439922973464963,
      0.37851373076461703,
      0.37271750966748357,
      0.3670092988028026,
      0.3613877809137045,
      0.35585161557577777,
      0.3503995854608632,
      0.34503065023199875,
      0.33974369879109917,
      0.3345375509706336,
      0.3294109384787847,
      0.3243623460960856,
      0.3193902656757901,
      0.31449329924099106,
      0.3096701484181586,
      0.30491967661873753,
      0.30024079956079536,
      0.29563242435377884,
      0.29109346447141266,
      0.28662285947327953,
      0.28221955678430083,
      0.2778825100068198,
      0.2736106833315193,
      0.26940305396684466,
      0.2652586139088724,
      0.26117637079411,
      0.2571553482862762,
      0.25319468672160517,
      0.2492938902793008,
      0.2454524103356913,
      0.24166957062005928,
      0.23794461521939028,
      0.23427674050499314,
      0.23066511624300448,
      0.22710889982405055,
      0.22360724513042754,
      0.2201593088744972,
      0.21676425424282883,
      0.2134212536167832,
      0.21012949017802518,
      0.2068881144017212,
      0.20369622186397066,
      0.20055294881221875,
      0.19745747604999297,
      0.19440901793312648,
      0.19140681552954758,
      0.1884501313846758,
      0.1855382462437343,
      0.182670456854266,
      0.17984607426823818,
      0.17706442270272793,
      0.17432483873889196,
      0.17162667062180229,
      0.16896927767811237,
      0.16635203014958552,
      0.16377430881834806,
      0.1612355047737233,
      0.1587350190656777,
      0.15627226246648324,
      0.15384665535999947,
      0.15145762758633854,
      0.14910461821061846,
      0.14678707518924272,
      0.1445044554107529,
      0.14225622443087402,
      0.14004185639070327,
      0.13786083399809612,
      0.13571264789082582,
      0.13359679696476834,
      0.13151278812772185,
      0.12946013591848846,
      0.1274383627212828,
      0.1254469983292147,
      0.12348557995685708,
      0.12155365216724101,
      0.11965076669437417,
      0.11777648226291497,
      0.11593036444228348,
      0.1141119856751321,
      0.11232092515584823,
      0.11055676860381479,
      0.1088191081720109,
      0.10710754232561355,
      0.10542167579213808,
      0.10376111944288888,
      0.10212549017601484,
      0.10051441095274843,
      0.09892751038338879,
      0.0973644229430764,
      0.09582478867267381,
      0.09430825317841547,
      0.09281446762527987,
      0.091343088482103,
      0.08989377755847458,
      0.08846620181187476,
      0.08706003329977621,
      0.0856749491752129,
      0.08431063147077293,
      0.08296676712907271,
      0.0816430479291559,
      0.08033917039217643,
      0.07905483555094822,
      0.07778974911740157,
      0.07654362122741155,
      0.07531616654531711,
      0.07410710402191271,
      0.07291615690952057,
      0.07174305267183348,
      0.07058752288971136,
      0.06944930321365851,
      0.06832813339501448,
      0.06722375712166435,
      0.06613592194478952,
      0.0650643792770115,
      0.06400888423268589,
      0.0629691957873439,
      0.061945076467652446,
      0.06093629240464704,
      0.05994261325356765,
      0.05896381227982254,
      0.05799966600013592,
      0.057049954446363633,
      0.05611446100981499,
      0.055192972266576976,
      0.054285278024245265,
      0.053391171432002865,
      0.052510448549526814,
      0.0516429085375842,
      0.05078835364392138,
      0.049946589181727716,
      0.0491174233033134,
      0.04830066710275854,
      0.04749613451295116,
      0.046703642245668295,
      0.045923009773629654,
      0.04515405927222076,
      0.04439661563495093,
      0.04365050634046916,
      0.042915561682306334,
      0.042191614277692344,
      0.041478499304160844,
      0.040776054472322604,
      0.040084119839866664,
      0.039402537996932344,
      0.03873115387953353,
      0.03806981472234444,
      0.03741837007125258,
      0.036776671693323715,
      0.03614457353355343,
      0.035521931839134,
      0.03490860499962559,
      0.034304453529007725,
      0.03370934012935584,
      0.03312312932995573,
      0.03254568788769256,
      0.031976884444953106,
      0.03141658971034512,
      0.03086467632296218,
      0.030321018749364156,
      0.029785493384823128,
      0.029257978560648365,
      0.02873835431019285,
      0.028226502523723072,
      0.027722306900270017,
      0.02722565275385555,
      0.02673642727132755,
      0.02625451930022341,
      0.02577981931503116,
      0.025312219357798944,
      0.02485161312459578,
      0.024397896135155583,
      0.02395096531754176,
      0.0235107190694521,
      0.023077057318528247,
      0.022649881544349205,
      0.022229094659942335,
      0.021814601083308124,
      0.021406306655863083,
      0.021004118592128546,
      0.020607945548772707,
      0.020217697527738332,
      0.019833285880240116,
      0.01945462329011024,
      0.019081623877357283,
      0.0187142027914642,
      0.018352276630052424,
      0.01799576311811432,
      0.017644581352008314,
      0.017298651539695932,
      0.016957895133438768,
      0.016622234769914607,
      0.01629159419624344,
      0.01596589825077783,
      0.015645073039662102,
      0.015329045608552786,
      0.015017744235803338,
      0.014711098252977313,
      0.01440903804147744,
      0.014111495026605868,
      0.013818401618890268,
      0.013529691298690383,
      0.01324529852716941,
      0.0129651587820993,
      0.012689208260056263,
      0.012417384338990372,
      0.012149625300574509,
      0.011885870342616029,
      0.011626059588824728,
      0.011370134070191272,
      0.011118035665412532,
      0.010869707235628093,
      0.010625092260145463,
      0.010384135200216584,
      0.010146781389097912,
      0.009912977002259269,
      0.009682668928704913,
      0.009455804817212353,
      0.009232333265338672,
      0.009012203445989051,
      0.008795365416979627,
      0.00858176988042842,
      0.008371368402752932,
      0.00816411326928952,
      0.007959957456132484,
      0.007758854528293424,
      0.007560758909155995,
      0.007365625555068318,
      0.007173410179811114,
      0.0069840691377773476,
      0.006797559494361805,
      0.006613838851267255,
      0.006432865389976107,
      0.00625459812751655,
      0.006078996602878181,
      0.00590602088363914,
      0.005735631797350924,
      0.005567790688722941,
      0.005402459465040549,
      0.005239600491242214,
      0.005079176842963978,
      0.004921152091561106,
      0.00476549035213118,
      0.004612156276176175,
      0.004461115186348319,
      0.004312332673082322,
      0.004165774968676516,
      0.004021408801871445,
      0.0038792013308545955,
      0.003739120351654012,
      0.0036011341206365604,
      0.003465211242710295,
      0.003331320815304427,
      0.003199432446914509,
      0.00306951625244586,
      0.0029415428248937697,
      0.002815483068885618,
      0.002691308302964795,
      0.002568990350464381,
      0.002448501568745585,
      0.0023298145119397167,
      0.00221290221102331,
      0.0020977381825584285,
      0.0019842962418817065,
      0.0018725506676867086,
      0.0017624761072895117,
      0.0016540474771368358,
      0.0015472401951308358,
      0.0014420300522965399,
      0.001338393136896822,
      0.0012363059566813273,
      0.001135745397700551,
      0.0010366885254215854,
      0.000939112844440251,
      0.0008429963057072558,
      0.0007483170355100954,
      0.0006550534720999143,
      0.0005631844402242717,
      0.0004726891506039529,
      0.0003835470800863321,
      0.00029573798031374345,
      0.0002092419761760826,
      0.00012403943705229631,
      4.0111001424598174e-05,
      -4.2562403696895604e-05,
      -0.00012399959956856465,
      -0.00020421893678035954,
      -0.0002832387810263707,
      -0.0003610770315695038,
      -0.00043775137622399966,
      -0.0005132792205929889,
      -0.0005876776739287366,
      -0.000660963584284605,
      -0.0007331535857236486,
      -0.0008042640363941386,
      -0.0008743111463485743,
      -0.0009433108693109167,
      -0.001011278838171454,
      -0.001078230464609048,
      -0.0011441809486275587,
      -0.0012091453001559886,
      -0.0012731381751783038,
      -0.0013361741305481937,
      -0.0013982669434354977,
      -0.0014594298814447964,
      -0.0015196763527773585,
      -0.0015790196533472672,
      -0.0016374729809454536,
      -0.0016950495633636753,
      -0.0017517623923241211,
      -0.0018076242999009351,
      -0.0018626479450495551,
      -0.0019168460164755681,
      -0.001970230862219646,
      -0.002022814659140497,
      -0.0020746093398349777,
      -0.0021256268113382655,
      -0.0021758787090177616,
      -0.0022253766015199157,
      -0.002274131679778418,
      -0.002322155201834843,
      -0.0023694581108786397,
      -0.0024160511099565346,
      -0.0024619449266382893,
      -0.0025071500686741394,
      -0.002551676859245306
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566607176880638,
      10.335738861076075,
      10.096511866208994,
      9.852076206726961,
      9.604971258751862,
      9.35742089976449,
      9.111362984217186,
      8.86842007472191,
      8.629873275817882,
      8.396663781229547,
      8.169427327895182,
      7.948519464429717,
      7.734046647758133,
      7.5258977120567065,
      7.323789024249064,
      7.127319268911235,
      6.9360112900186515,
      6.749349250984775,
      6.566810448437854,
      6.387891953626295,
      6.212129167019241,
      6.039097985884016,
      5.868426813091897,
      5.699817673954157,
      5.533048877939642,
      5.367975206282165,
      5.204529709740704,
      5.042728729092028,
      4.882651708297666,
      4.724439293926606,
      4.568304252309266,
      4.414527249185401,
      4.263460377858158,
      4.1154888107941,
      3.9710121114682004,
      3.8304265707190126,
      3.694115894840038,
      3.562437937402074,
      3.4357075812907243,
      3.314189177550717,
      3.198091801117165,
      3.087566886226568,
      2.9827051775502187,
      2.8835261594881554,
      2.789974405946675,
      2.701931830526263,
      2.619241522396534,
      2.5416877112634815,
      2.4690247688679974,
      2.401004568065316,
      2.3373675605198647,
      2.2778183900415363,
      2.2220339687740904,
      2.169649553261655,
      2.120285750272684,
      2.0735850091931183,
      2.029222078087992,
      1.9868998701752356,
      1.9463654178986398,
      1.9074078225392441,
      1.869860578120417,
      1.8335899172927492,
      1.7984841945120023,
      1.7644447460429329,
      1.731390587214758,
      1.6992556651320367,
      1.6679848390681498,
      1.63753104457466,
      1.6078534654685848,
      1.5789160170560699,
      1.550686117557286,
      1.5231324947808724,
      1.4962245012818187,
      1.4699344795720481,
      1.4442374258612292,
      1.4191104378063621,
      1.3945326135260923,
      1.3704854292234043,
      1.3469521726131775,
      1.3239166841233574,
      1.3013632336599483,
      1.2792765948146023,
      1.2576420840097184,
      1.2364455769088094,
      1.215673958334036,
      1.1953163200933241,
      1.1753620465668617,
      1.1558003503063186,
      1.1366206111279629,
      1.1178150147565413,
      1.0993770606570212,
      1.0812995702047183,
      1.0635748411787795,
      1.0461946597192415,
      1.0291505916792925,
      1.0124341712572944,
      0.9960370193848,
      0.9799509186555009,
      0.9641678578387634,
      0.9486800565313757,
      0.933479977767694,
      0.918560331853902,
      0.9039140749213819,
      0.8895344043528248,
      0.875414751795158,
      0.8615487752214169,
      0.8479303511375154,
      0.8345535654261411,
      0.8214127048701219,
      0.8085022486439829,
      0.7958168601735722,
      0.7833513795046672,
      0.7711008149395139,
      0.7590603365111498,
      0.7472252691808785,
      0.7355910856238211,
      0.724153400648516,
      0.7129079648184619,
      0.7018506587789637,
      0.6909774883944377,
      0.6802845791164027,
      0.669768171484859,
      0.6594246162030938,
      0.6492503697426739,
      0.6392419902098668,
      0.6293960891482211,
      0.6197093393319877,
      0.6101785299208425,
      0.6008005574284907,
      0.5915724152209898,
      0.5824911859696182,
      0.5735540354423969,
      0.5647582074692824,
      0.5561010207829197,
      0.547579864598992,
      0.5391921959532576,
      0.5309355370554131,
      0.5228074723970679,
      0.5148056468745525,
      0.5069277632628976,
      0.49917158027524827,
      0.4915349232752075,
      0.4840157294345051,
      0.47661227578997334,
      0.46932296172800286,
      0.46214606753293663,
      0.4550798110649045,
      0.448122383951425,
      0.4412719748025955,
      0.4345266582828084,
      0.42788413350212795,
      0.4213422213049797,
      0.4148989333285279,
      0.40855241975695084,
      0.4023009335617514,
      0.3961428560011301,
      0.3900771663648967,
      0.38410304358238884,
      0.3782194324865846,
      0.37242513557937645,
      0.3667188717637488,
      0.3610993147619158,
      0.3555651183328075,
      0.3501150893144998,
      0.34474818636663346,
      0.33946328550226174,
      0.33425919819741856,
      0.3291346498859434,
      0.32408812097657175,
      0.31911810166233917,
      0.31422319273084554,
      0.3094021016281059,
      0.30465370066115655,
      0.2999768992981888,
      0.29537060039443,
      0.2908337159336647,
      0.28636518418521056,
      0.28196395052217055,
      0.2776289673392676,
      0.273359197961071,
      0.26915361886226163,
      0.26501122158590545,
      0.2609310134014572,
      0.2569120176120476,
      0.2529533890778871,
      0.2490546405328148,
      0.2452152146548419,
      0.24143442946835578,
      0.23771152521755026,
      0.23404569569171596,
      0.23043610901903017,
      0.2268819212273662,
      0.22338228556291748,
      0.21993635798494654,
      0.21654330140382644,
      0.21320228787756396,
      0.20991250036769613,
      0.20667308448535268,
      0.20348313532436896,
      0.20034179095332585,
      0.19724823319069834,
      0.1942016773037271,
      0.19120136468674673,
      0.18824655833981874,
      0.18533653917187626,
      0.1824706040572867,
      0.1796480642268451,
      0.17686824382289706,
      0.17413047932626521,
      0.17143411896938043,
      0.16877852222972758,
      0.16616305923672645,
      0.16358711069510767,
      0.16105006773978592,
      0.1585513314233392,
      0.15609031252830843,
      0.15366643145558717,
      0.15127911803700148,
      0.1489278112715387,
      0.14661195921361614,
      0.14433101872758256,
      0.14208445526651828,
      0.13987174304431335,
      0.13769236456503536,
      0.1355458105894248,
      0.13343158003011493,
      0.13134917973093435,
      0.12929812432087576,
      0.1272779360717957,
      0.12528814487487602,
      0.12332828804330707,
      0.12139791008017814,
      0.11949656273595927,
      0.11762380471979655,
      0.11577920168040401,
      0.11396232608185619,
      0.11217275708845545,
      0.11041008037564168,
      0.1086738881527311,
      0.10696377892067876,
      0.10527935746630428,
      0.10362023476335097,
      0.10198602772171317,
      0.10037635923657523,
      0.09879085807290032,
      0.09722915863594223,
      0.09569090102832395,
      0.09417573095423468,
      0.09268329959839906,
      0.0912132634411268,
      0.08976528431412754,
      0.08833902922041362,
      0.08693417025464058,
      0.08555038463043858,
      0.08418735438172656,
      0.08284476658398467,
      0.0815223130521492,
      0.08021969019516054,
      0.07893659924964955,
      0.07767274586887452,
      0.07642784037011571,
      0.07520159734331387,
      0.07399373579059339,
      0.07280397900134558,
      0.07163205440485032,
      0.07047769370492205,
      0.06934063278826384,
      0.06822061138742373,
      0.06711737317748649,
      0.06603066570238937,
      0.06496024055120173,
      0.06390585288084974,
      0.06286726183036084,
      0.06184422983584114,
      0.06083652305877701,
      0.05984391122324084,
      0.05886616761918482,
      0.057903068966387757,
      0.056954395316398766,
      0.056019930062446044,
      0.05509945992984611,
      0.05419277470552204,
      0.05329966757030903,
      0.052419934712549666,
      0.051553375334779133,
      0.050699791817798164,
      0.04985898948961339,
      0.04903077654562332,
      0.048214964081305905,
      0.047411366065566805,
      0.046619799369993636,
      0.04584008360514494,
      0.04507204095480773,
      0.04431549637592681,
      0.04357027755463189,
      0.0428362146281555,
      0.04211314023362445,
      0.04140088963977809,
      0.04069930066269927,
      0.04000821347402566,
      0.03932747065289353,
      0.038656917225433955,
      0.03799640048098941,
      0.037345769981631735,
      0.03670487757735147,
      0.03607357732479693,
      0.035451725462285553,
      0.034839180479205666,
      0.03423580299343204,
      0.033641455592554693,
      0.033056003019969665,
      0.03247931195549762,
      0.03191125127122631,
      0.03135169162132093,
      0.030800505725917582,
      0.030257568268383123,
      0.02972275567963017,
      0.029195946316985546,
      0.028677020179499094,
      0.02816585936814238,
      0.027662347580310234,
      0.027166370176913028,
      0.026677814459483577,
      0.026196569248431088,
      0.02572252509113285,
      0.02525557416428845,
      0.024795610240531465,
      0.02434252870524698,
      0.02389622654184036,
      0.023456602342302874,
      0.023023556075316504,
      0.022596989248566096,
      0.022176804822271096,
      0.021762907318924846,
      0.021355202608765392,
      0.020953598043687502,
      0.020558002348922626,
      0.020168325583660107,
      0.01978447914526278,
      0.019406375759222175,
      0.01903392939186566,
      0.018667055294917117,
      0.0183056701697671,
      0.01794969195559987,
      0.017599039705168087,
      0.017253633630147865,
      0.016913395227481115,
      0.016578247149717604,
      0.016248113309236038,
      0.01592291862430559,
      0.015602589183061715,
      0.015287052208202121,
      0.014976235873361282,
      0.014670069625955181,
      0.014368483853320931,
      0.014071410029683642,
      0.013778780695536529,
      0.01349052925044131,
      0.01320659019438337,
      0.012926899017193943,
      0.012651392181037027,
      0.012380007011149675,
      0.01211268189538549,
      0.011849356182467415,
      0.01158996998241364,
      0.011334464293914192,
      0.011082781046869336,
      0.010834863007917785,
      0.010590653912268216,
      0.010350098185651992,
      0.010113141248140313,
      0.009879729242487848,
      0.009649809198483468,
      0.009423328792972798,
      0.009200236463043989,
      0.0089804815215785,
      0.0087640141555357,
      0.008550785160628804,
      0.008340746136311772,
      0.008133849365869507,
      0.007930047775384908,
      0.00772929503527869,
      0.007531545525018126,
      0.007336754408372945,
      0.007144877387439715,
      0.006955870828086289,
      0.006769691741082815,
      0.0065862978234756875,
      0.006405647477045266,
      0.0062276996704182085,
      0.00605241386714188,
      0.005879750235567291,
      0.005709669626128714,
      0.005542133341279381,
      0.005377103435393323,
      0.005214542349396969,
      0.0050544130879384514,
      0.004896679481233516,
      0.004741305533988211,
      0.004588255952610767,
      0.004437495910611467,
      0.0042889912113112895,
      0.004142707981665768,
      0.0039986130929984525,
      0.003856673757003111,
      0.0037168577345802886,
      0.003579133272673623,
      0.0034434691832925975,
      0.0033098346001616064,
      0.003178199220222675,
      0.0030485330382970764,
      0.0029208066429531067,
      0.00279499101171715,
      0.0026710576391103884,
      0.002548978265600564,
      0.0024287251102942217,
      0.002310270927071523,
      0.0021935887515395747,
      0.002078651979583532,
      0.001965434657253638,
      0.0018539109907770113,
      0.0017440557354077217,
      0.0016358439052385782,
      0.001529250904169479,
      0.0014242524930474566,
      0.001320824789859186,
      0.0012189443222206733,
      0.0011185880371527672,
      0.0010197331214180498,
      0.0009223569946990365,
      0.0008264374881668799,
      0.0007319528018456709,
      0.0006388816163116105,
      0.0005472027609826572,
      0.00045689530892909527,
      0.00036793883204560494,
      0.00028031315537798335,
      0.00019399834796179698,
      0.00010897480985062907,
      2.522319531043163e-05,
      -5.727554236651759e-05,
      -0.00013854013028674655,
      -0.00021858904299037031,
      -0.00029744047953913474,
      -0.0003751122823757104,
      -0.0004516222110067609,
      -0.0005269876552622877,
      -0.00060122564013214,
      -0.0006743530452866337,
      -0.0007463864359165056,
      -0.0008173422296030476,
      -0.0008872365252196245,
      -0.000956085274579078,
      -0.0010239040904461401,
      -0.0010907083840884018,
      -0.0011565133496419062,
      -0.0012213338455123927,
      -0.0012851845862482212,
      -0.001348080162334937,
      -0.0014100348746350743,
      -0.0014710626126328498,
      -0.0015311765335845344,
      -0.001590389572109052,
      -0.0016487147835801607,
      -0.0017061651536772835,
      -0.001762753477592813,
      -0.0018184925692048919,
      -0.0018733951652246674,
      -0.0019274736953058583,
      -0.0019807404325767964,
      -0.002033207522767679,
      -0.0020848870510263916,
      -0.002135790796596812,
      -0.00218593036825705,
      -0.002235317275289628,
      -0.002283962788215507,
      -0.0023318779384964767,
      -0.0023790737591065265,
      -0.0024255611051243946,
      -0.0024713504864497136,
      -0.0025164523762467436,
      -0.002560877245634553
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566604891622662,
      10.335728543585304,
      10.096488154107742,
      9.852034243801338,
      9.604907328326922,
      9.357332492858896,
      9.1112485759778,
      8.868278887257997,
      8.629705450042223,
      8.396469973670834,
      8.169208298821564,
      7.948275960799796,
      7.73377933101988,
      7.525606853346518,
      7.323474622908659,
      7.126981257989163,
      6.93564959125081,
      6.748963800659037,
      6.56640136586823,
      6.387459485676106,
      6.211673719160556,
      6.038620224112022,
      5.867927581219045,
      5.699298014176564,
      5.532510089879867,
      5.3674188289981455,
      5.203957543476062,
      5.042142861989873,
      4.88205439582426,
      4.723833025916623,
      4.567691767065431,
      4.413911846810887,
      4.262845795283167,
      4.1148787826849444,
      3.9704102852600434,
      3.8298364223677925,
      3.6935408101677742,
      3.5618810468230873,
      3.435171629473012,
      3.313676488675238,
      3.1976042594557055,
      3.0871059297330854,
      2.9822717335641933,
      2.883120558566003,
      2.789596381877916,
      2.7015805807931357,
      2.618915634609637,
      2.5413852536024373,
      2.4687437026205545,
      2.4007427209005416,
      2.337122615134844,
      2.2775879092357765,
      2.2218152474351047,
      2.1694396214097527,
      2.1200819841651213,
      2.0733850108767142,
      2.0290236836808844,
      1.9867012390071115,
      1.946165131537079,
      1.9072048444693657,
      1.869654174667685,
      1.8333795665741988,
      1.7982695161513493,
      1.7642254901646692,
      1.7311666104689003,
      1.6990269002439282,
      1.6677512722071048,
      1.6372926996258648,
      1.6076103747943205,
      1.5786682290192104,
      1.5504336994108001,
      1.5228755550880793,
      1.495963158633434,
      1.4696688461668808,
      1.4439676089980993,
      1.418836541430491,
      1.3942547612411142,
      1.3702037595939023,
      1.3466668150512366,
      1.3236277539988193,
      1.3010708361447725,
      1.2789808279459545,
      1.2573430400530932,
      1.2361433433916649,
      1.2153687108131468,
      1.1950083191565808,
      1.1750514898909286,
      1.1554873930278877,
      1.136305504491947,
      1.1174981632788945,
      1.0990587547490875,
      1.0809800288429303,
      1.0632542256816755,
      1.045873092844765,
      1.0288281705124775,
      1.0121109747166184,
      0.995713114680504,
      0.9796263647746758,
      0.9638427079948619,
      0.9483543602426131,
      0.9331537817537691,
      0.9182336808200742,
      0.9035870122315879,
      0.8892069720327979,
      0.8750869908319786,
      0.8612207260584385,
      0.8476020532971702,
      0.8342250575823046,
      0.8210840252171514,
      0.8081734348515488,
      0.79548794923238,
      0.7830224074108583,
      0.7707718176935329,
      0.7587313495581505,
      0.7468963271235601,
      0.7352622226898616,
      0.7238246505654145,
      0.712579360553108,
      0.7015222330077883,
      0.690649273151961,
      0.6799566058429795,
      0.6694404709138836,
      0.6590972185458636,
      0.6489233047382824,
      0.6389152871936351,
      0.6290697750013222,
      0.6193834402345106,
      0.6098530721545957,
      0.6004755671577565,
      0.5912479184450038,
      0.5821672083681544,
      0.5732306021385292,
      0.5644353435481193,
      0.55577875050784,
      0.5472582119185647,
      0.5388711843650957,
      0.5306151894647121,
      0.5224878111971417,
      0.5144866938686733,
      0.5066095399101882,
      0.4988541074221435,
      0.4912182320244667,
      0.4836998897099136,
      0.476297406077976,
      0.46900914337238486,
      0.46183335777287077,
      0.4547682514469542,
      0.4478120055295952,
      0.44096280151713213,
      0.4342187480521939,
      0.427577590089115,
      0.42103711562184765,
      0.41459531476728323,
      0.4082503231050109,
      0.4020003839290376,
      0.3958439223841943,
      0.38977998309378253,
      0.383807697622052,
      0.377925980237212,
      0.37213361318860755,
      0.3664293019537709,
      0.3608117116208312,
      0.35527948978143115,
      0.34983146734390014,
      0.3444666019812919,
      0.33918375693602576,
      0.33398173527986386,
      0.32885925637822283,
      0.3238147962582302,
      0.31884684321377765,
      0.3139539968882243,
      0.30913497080344066,
      0.3043886458842881,
      0.2997139252617319,
      0.29510970749978604,
      0.2905749036141196,
      0.28610845006304614,
      0.28170929033336134,
      0.27737637553585104,
      0.2731086680517584,
      0.2689051437480281,
      0.26476479362347577,
      0.2606866245778098,
      0.256669659651723,
      0.25271307353294753,
      0.24881638018148544,
      0.24497901447714965,
      0.24120028911159436,
      0.23747944079138664,
      0.23381566086157984,
      0.23020811573268302,
      0.22665596044585692,
      0.22315834737625456,
      0.21971443199000326,
      0.21632337674832652,
      0.21298435345381972,
      0.2096965448385445,
      0.2064590917795755,
      0.20327108894188897,
      0.20013167607780888,
      0.19704003623904015,
      0.19399538535173466,
      0.190996965443692,
      0.18804403970440206,
      0.18513588933523922,
      0.18227181121160949,
      0.17945111647687195,
      0.1766731294650977,
      0.17393718675921557,
      0.17124263650835814,
      0.16858883802811347,
      0.16597516161352718,
      0.16340098812498266,
      0.16086570853797427,
      0.15836872383654027,
      0.1559094448243302,
      0.15348729188562202,
      0.1511016947525944,
      0.148752092329668,
      0.14643793272726924,
      0.14415867290152354,
      0.14191377833749008,
      0.13970272321466984,
      0.13752499012005254,
      0.13538006975385555,
      0.13326746100856574,
      0.1311866706778323,
      0.1291372134116326,
      0.12711861156082904,
      0.12513039495652384,
      0.12317210088392697,
      0.12124327398331715,
      0.11934346598976531,
      0.11747223559662624,
      0.11562914847431965,
      0.11381377713318441,
      0.11202570076389622,
      0.11026450511790244,
      0.108529782441415,
      0.10682113113732457,
      0.1051381560328254,
      0.10348046813376359,
      0.10184768435486102,
      0.10023942762565805,
      0.09865532678157903,
      0.09709501628348577,
      0.09555813623674417,
      0.09404433234604746,
      0.09255325584512766,
      0.09108456323549968,
      0.0896379164123139,
      0.08821298229327264,
      0.08680943319675018,
      0.08542694631610603,
      0.08406520385377231,
      0.08272389282928887,
      0.0814027051458701,
      0.08010133727980633,
      0.07881949043161138,
      0.07755687042006333,
      0.0763131875102662,
      0.07508815632092611,
      0.0738814959384548,
      0.07269292976689386,
      0.07152218538094977,
      0.07036899438111148,
      0.06923309265153836,
      0.06811421998458109,
      0.06701212019030765,
      0.06592654089635043,
      0.06485723358420374,
      0.06380395365238982,
      0.06276646004252266,
      0.06174451549526174,
      0.06073788626057488,
      0.059746342094492706,
      0.0587696562433615,
      0.0578076055682682,
      0.05685997010396258,
      0.0559265333615891,
      0.05500708200741691,
      0.054101406018494204,
      0.053209298614748865,
      0.0523305560828029,
      0.05146497770021604,
      0.05061236579161498,
      0.04977252566931228,
      0.04894526568045212,
      0.048130397087531744,
      0.047327733940765136,
      0.04653709306302854,
      0.045758294057816215,
      0.044991159238451345,
      0.04423551363806204,
      0.04349118492125531,
      0.04275800329988658,
      0.04203580158207755,
      0.04132441515197192,
      0.04062368184148203,
      0.03993344178916314,
      0.03925353762909593,
      0.038583814492247265,
      0.037924119676603515,
      0.037274302936920405,
      0.03663421622050366,
      0.036003713640502234,
      0.035382651511586774,
      0.03477088826359618,
      0.03416828449703571,
      0.033574703024655865,
      0.0329900087050055,
      0.032414068262036216,
      0.031846750524882325,
      0.03128792631043817,
      0.030737468332221688,
      0.030195251180683662,
      0.029661151482205064,
      0.029135047550596135,
      0.028616819656081458,
      0.028106349811785322,
      0.027603521739003628,
      0.02710822097867583,
      0.026620334819343082,
      0.026139752206372435,
      0.025666363689228033,
      0.025200061528039892,
      0.024740739615409253,
      0.024288293335048144,
      0.02384261971230543,
      0.023403617341866745,
      0.02297118640463444,
      0.022545228531447813,
      0.022125646653319075,
      0.021712345334123754,
      0.02130523044773602,
      0.02090420941403731,
      0.020509190950591154,
      0.02012008514808048,
      0.019736803467949923,
      0.019359258732816405,
      0.01898736505207795,
      0.018621037848245547,
      0.01826019365274342,
      0.01790475040233918,
      0.01755462724483233,
      0.017209744540257803,
      0.01687002382884724,
      0.016535387803334092,
      0.016205760406867928,
      0.01588106669381587,
      0.015561232822398583,
      0.015246185962363688,
      0.014935854397676683,
      0.014630167544165183,
      0.014329055914737274,
      0.014032451043961535,
      0.013740285487001111,
      0.013452492745915532,
      0.013169007409637052,
      0.012889764935732108,
      0.0126147018170038,
      0.012343755498073363,
      0.012076864276142298,
      0.011813967529886114,
      0.011555005430633154,
      0.011299919140513624,
      0.011048650600619913,
      0.010801142615021119,
      0.010557338963502557,
      0.010317184155552188,
      0.01008062361995224,
      0.009847603636856127,
      0.009618071101689274,
      0.009391973774915848,
      0.00916926033128286,
      0.00894988011412314,
      0.008733783254669837,
      0.008520920514443973,
      0.008311243473898357,
      0.008104704412224596,
      0.007901256540055976,
      0.007700853561427314,
      0.007503449918399171,
      0.007309000580236024,
      0.0071174614076026654,
      0.006928788839260028,
      0.006742939918554657,
      0.006559872410930999,
      0.006379544733558081,
      0.006201915855861082,
      0.006026945412004475,
      0.005854593657010419,
      0.005684821336031114,
      0.0055175898295485104,
      0.005352861154335516,
      0.005190597782531049,
      0.005030762774287298,
      0.00487331984267405,
      0.004718233179460946,
      0.00456546751821998,
      0.004414988135793282,
      0.004266760868546748,
      0.004120752029321632,
      0.003976928338847571,
      0.0038352570748606952,
      0.0036957060773949056,
      0.0035582435396820846,
      0.003422838226904733,
      0.0032894594300552065,
      0.003158076787972996,
      0.003028660378070284,
      0.0029011807579589904,
      0.002775609040804643,
      0.002651916654438158,
      0.0025300753821930278,
      0.0024100575255798593,
      0.0022918358080713666,
      0.0021753834336258925,
      0.0020606738542241275,
      0.0019476809646505834,
      0.0018363790508053573,
      0.0017267428797160555,
      0.0016187475304525276,
      0.0015123684744458416,
      0.0014075815554467944,
      0.0013043629202345083,
      0.0012026889312907773,
      0.0011025365892650698,
      0.0010038831564229574,
      0.000906706143814808,
      0.0008109834326686077,
      0.0007166933214220109,
      0.0006238143067181181,
      0.0005323253426754164,
      0.00044220552913284706,
      0.00035343446854818735,
      0.00026599188696985117,
      0.00017985789797129613,
      9.501295637488126e-05,
      1.143779415434498e-05,
      -7.088655971528929e-05,
      -0.00015197872650513105,
      -0.0002318572671461691,
      -0.00031054038616584804,
      -0.0003880460158204413,
      -0.0004643917528642129,
      -0.0005395949404835255,
      -0.0006136726537310293,
      -0.0006866416773791734,
      -0.0007585186546056658,
      -0.0008293198722132873,
      -0.0008990615221679814,
      -0.0009677594084562766,
      -0.0010354291813179258,
      -0.0011020861758367926,
      -0.0011677455166834078,
      -0.0012324222029478616,
      -0.0012961309825030023,
      -0.001358886365522149,
      -0.001420702547894015,
      -0.0014815935939543558,
      -0.0015415733645005242,
      -0.0016006551835442097,
      -0.0016588516994259389,
      -0.0017161755643022975,
      -0.0017726393948100524,
      -0.001828255808778901,
      -0.0018830373285051967,
      -0.0019369963471874308,
      -0.0019901450950339204,
      -0.0020424957124913806,
      -0.0020940602535344534,
      -0.0021448504340261182,
      -0.002194877855812649,
      -0.0022441539758665404,
      -0.002292690087755403,
      -0.0023404973087523045,
      -0.0023875865342590737,
      -0.0024339684998474615,
      -0.0024796538170148144,
      -0.002524652951034666,
      -0.002568976275026547
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56660260799229,
      10.335718235043025,
      10.09646446323672,
      9.851992318772622,
      9.604843454645941,
      9.357244162766259,
      9.111134264115796,
      8.868137812463141,
      8.629537754592185,
      8.396276318313218,
      8.168989447310476,
      7.948032664738265,
      7.733512176555586,
      7.525316051767536,
      7.32316018708728,
      7.126643135672155,
      6.93528771778898,
      6.748578123667715,
      6.565992016097347,
      6.387026720173616,
      6.211217952290157,
      6.038142130860729,
      5.8674280117878395,
      5.698778018190271,
      5.531970971992496,
      5.366862134560755,
      5.203385077210436,
      5.0415567156662,
      4.881456827655459,
      4.72322652765473,
      4.567079079252478,
      4.413296359192147,
      4.262231235211496,
      4.114268875633501,
      3.9698086676945943,
      3.8292465620868485,
      3.6929660845434498,
      3.56132457608846,
      3.434636149256241,
      3.3131643153082004,
      3.197117268991949,
      3.0866455531442907,
      2.981838891504936,
      2.8827155755385703,
      2.789218985912607,
      2.70122996473368,
      2.6185903822400842,
      2.541083429058524,
      2.4684632557133583,
      2.400481480026563,
      2.336878262148191,
      2.2773580059933565,
      2.2215970876397835,
      2.1692302358404296,
      2.1198787496287967,
      2.0731855307534715,
      2.028825783222115,
      1.9865030828267103,
      1.9459653051644985,
      1.9070023147772088,
      1.8694482112402164,
      1.8331696502931953,
      1.7980552685225866,
      1.7640066629932456,
      1.730943061981862,
      1.6987985638231955,
      1.667518135281979,
      1.6370547869770118,
      1.607367719517362,
      1.578420879894875,
      1.5501817235905702,
      1.5226190617857434,
      1.4957022671299864,
      1.4694036690861723,
      1.4436982540025116,
      1.4185631116994342,
      1.393977380364899,
      1.3699225664696109,
      1.3463819386502498,
      1.3233393099522088,
      1.3007789301810575,
      1.2786855578356997,
      1.2570444981929012,
      1.2358416179393348,
      1.2150640326424864,
      1.194700929548068,
      1.1747415739324676,
      1.1551750975751172,
      1.13599107446697,
      1.11718199897757,
      1.0987411438493326,
      1.0806611886640476,
      1.0629343167034337,
      1.0455522373458568,
      1.0285064646934043,
      1.0117884973745943,
      0.9953899328017333,
      0.9793025374762804,
      0.9635182886688174,
      0.9480293983288077,
      0.9328283241446483,
      0.9179077721361544,
      0.9032606953916538,
      0.8888802890186386,
      0.8747599827839112,
      0.8608934331085422,
      0.8472745148013014,
      0.833897312496489,
      0.8207561118057632,
      0.8078453906926607,
      0.7951598112657224,
      0.7826942121818979,
      0.7704436009281301,
      0.7584031465434266,
      0.74656817282668,
      0.7349341514624307,
      0.7234966959673673,
      0.712251555830211,
      0.7011946107978855,
      0.690321865260198,
      0.6796294437467727,
      0.6691135855735791,
      0.6587706401315306,
      0.6485970627810531,
      0.6385894105511398,
      0.6287442903654846,
      0.6190583736542166,
      0.6095284501178726,
      0.6001514160926297,
      0.5909242645454218,
      0.5818440773379198,
      0.572908019284194,
      0.5641133337133887,
      0.555457338255561,
      0.5469374210197183,
      0.5385510381207531,
      0.5302957106645544,
      0.5221690222504085,
      0.5141686168019369,
      0.5062921958759175,
      0.49853751831145243,
      0.490902429533562,
      0.4833849457391265,
      0.47598343794845094,
      0.4686962318081265,
      0.4615215596304192,
      0.4544576077697297,
      0.447502546923749,
      0.4406545516561579,
      0.4339117628836835,
      0.42727197453014015,
      0.4207329411768931,
      0.4142926310646682,
      0.40794916514362517,
      0.40170077685342903,
      0.39554593537961424,
      0.3894837500187087,
      0.38351330532573147,
      0.377633485003317,
      0.37184305104657944,
      0.36614069560740525,
      0.3605250746536431,
      0.3549948349206308,
      0.3495488289337644,
      0.344186008223718,
      0.3389052242651253,
      0.3337052722255821,
      0.3285848658334821,
      0.32354247736601727,
      0.31857659330131316,
      0.31368581191572914,
      0.3088688590862029,
      0.3041246159812542,
      0.2994519804570298,
      0.2948498475230996,
      0.29031712726125375,
      0.2858527544779318,
      0.2814556708799814,
      0.27712482636057434,
      0.27285918235925893,
      0.2686577142749807,
      0.264519412689014,
      0.26044328418106094,
      0.2564283517066462,
      0.2524738094240498,
      0.24857917253078568,
      0.24474386814448607,
      0.2409672036339665,
      0.2372484121141812,
      0.233586682507258,
      0.22998117962834352,
      0.22643105731085073,
      0.22293546716718218,
      0.21949356418900814,
      0.21610451057194185,
      0.21276747786861866,
      0.20948164860016308,
      0.2062461589154696,
      0.20306010300583516,
      0.1999226222500265,
      0.1968329008499326,
      0.1937901556126263,
      0.19079362897642704,
      0.1878425843513455,
      0.1849363031090825,
      0.18207408232155667,
      0.17925523317630102,
      0.17647908007708385,
      0.17374495954846908,
      0.17105221985129024,
      0.16840022035380323,
      0.16578833129943737,
      0.1632159333475699,
      0.1606824174713998,
      0.1581871846981637,
      0.15572964583094434,
      0.15330922125966515,
      0.15092534079169853,
      0.14857744329140402,
      0.14626497685334683,
      0.1439873983393294,
      0.14174417330914266,
      0.13953477588038057,
      0.13735868857455633,
      0.1352154020475088,
      0.13310441526334535,
      0.13102523512052028,
      0.1289773762477205,
      0.12696036100750632,
      0.12497371921153906,
      0.12301698817014346,
      0.12108971249787391,
      0.11919144394822495,
      0.11732174132135888,
      0.11548017023503496,
      0.11366630313312057,
      0.11187971931000873,
      0.11012000456235833,
      0.10838675111012117,
      0.10667955751258242,
      0.10499802854835384,
      0.10334177526841429,
      0.1017104145351563,
      0.10010356932548557,
      0.0985208684561877,
      0.09696194648794966,
      0.09542644358532554,
      0.09391400556726426,
      0.09242428356979618,
      0.09095693424250997,
      0.08951161950538153,
      0.08808800643878854,
      0.08668576728050706,
      0.08530457915388767,
      0.08394412442426204,
      0.08260409015733104,
      0.08128416822427105,
      0.07998405525170246,
      0.07870345237879146,
      0.07744206548180889,
      0.07619960492586735,
      0.07497578540266461,
      0.0737703260382986,
      0.07258295028149692,
      0.07141338571841069,
      0.07026136407415602,
      0.06912662121661856,
      0.06800889704170818,
      0.06690793540508365,
      0.0658234840047448,
      0.06475529433473683,
      0.06370312184399363,
      0.06266672556222123,
      0.06164586822914621,
      0.060640316093619154,
      0.05964983905035001,
      0.0586742105101232,
      0.057713207238546,
      0.056766609480924296,
      0.05583420066725654,
      0.054915767619150374,
      0.05401110039398593,
      0.053119992211177754,
      0.0522422393202512,
      0.05137764114765967,
      0.050526000156372826,
      0.04968712174859046,
      0.048860814300437996,
      0.04804688897297451,
      0.04724515985116541,
      0.046455443928677516,
      0.04567756095111916,
      0.04491133333348997,
      0.04415658615100576,
      0.04341314705745195,
      0.04268084629612591,
      0.04195951684792096,
      0.04124899402967849,
      0.040549115712507515,
      0.039859722282660645,
      0.03918065643993396,
      0.03851176332652427,
      0.037852890257895566,
      0.037203886993189654,
      0.036564605490138305,
      0.03593489997392366,
      0.03531462681729282,
      0.03470364468684237,
      0.03410181426833385,
      0.03350899828640813,
      0.032925061554333154,
      0.032349871015660794,
      0.03178329551114461,
      0.03122520596681768,
      0.030675475054995138,
      0.0301339775243533,
      0.029600590073162507,
      0.029075191071154437,
      0.02855766078415577,
      0.028047881345188104,
      0.02754573650986059,
      0.027051111901948182,
      0.026563894871586956,
      0.026083974379302943,
      0.025611241032294823,
      0.025145587140303283,
      0.024686906593267742,
      0.02423509500602187,
      0.02379004945626375,
      0.02335166850802237,
      0.022919852330111533,
      0.02249450259785464,
      0.022075522394566553,
      0.02166281622033989,
      0.02125629013959571,
      0.020855851667873744,
      0.020461409555960566,
      0.020072873865284422,
      0.01969015623898733,
      0.019313169594037605,
      0.018941827983757934,
      0.0185760467954576,
      0.018215742787902663,
      0.017860833917906205,
      0.017511239406900504,
      0.017166879659899378,
      0.01682767622699459,
      0.01649355188401487,
      0.01616443063529426,
      0.015840237549200768,
      0.015520898680994856,
      0.015206341361734444,
      0.014896494053285629,
      0.01459128620164242,
      0.014290648348275188,
      0.013994511959569831,
      0.013702809667058545,
      0.013415475079659721,
      0.013132442720432277,
      0.012853648196205915,
      0.012579028014868888,
      0.01230851971824203,
      0.012042061776829717,
      0.011779593431367403,
      0.011521054982560836,
      0.011266387556760236,
      0.011015533186905038,
      0.010768434756879951,
      0.010525036063683166,
      0.0102852817050248,
      0.010049117122956825,
      0.009816488561503198,
      0.009587343161145508,
      0.009361628694267057,
      0.009139293773613345,
      0.008920287790663377,
      0.008704560895287122,
      0.008492063857241577,
      0.008282748471153846,
      0.008076566985419094,
      0.00787347245588863,
      0.007673418771386576,
      0.007476360428238319,
      0.007282252555271193,
      0.0070910509160281715,
      0.006902712040167436,
      0.0067171929832148,
      0.006534451495166992,
      0.006354446089891973,
      0.006177135818722841,
      0.00600248031967766,
      0.005830439773740328,
      0.005660975053817158,
      0.005494047551928379,
      0.005329619339561643,
      0.00516765300605575,
      0.005008111575424974,
      0.004850958914545956,
      0.004696159228782282,
      0.004543677265120616,
      0.004393478326302385,
      0.00424552820482669,
      0.004099793150144856,
      0.0039562400162630375,
      0.003814836207995132,
      0.0036755495276343648,
      0.0035383482709516775,
      0.0034032012430020198,
      0.0032700775782761185,
      0.003138947039391013,
      0.0030097798410685457,
      0.002882546539651056,
      0.002757218210323092,
      0.0026337663013477064,
      0.0025121627704114647,
      0.0023923799490051696,
      0.0022743904720053717,
      0.0021581675201145824,
      0.0020436846635567864,
      0.0019309158283393128,
      0.0018198353786507877,
      0.0017104180158254967,
      0.0016026388891981346,
      0.0014964734157404532,
      0.0013918974953471487,
      0.0012888873270742503,
      0.0011874194238957496,
      0.0010874707750154681,
      0.0009890184945146538,
      0.0008920402470450557,
      0.0007965139308972438,
      0.0007024178649449324,
      0.0006097306779079436,
      0.0005184312309738795,
      0.0004284986682971974,
      0.000339912583253316,
      0.0002526528111401828,
      0.00016669951527882354,
      8.203316009133418e-05,
      -1.3656418666441162e-06,
      -8.351581170900153e-05,
      -0.00016443604384944682,
      -0.0002441447648061788,
      -0.00032266006581308524,
      -0.0003999997609927079,
      -0.0004761814891400118,
      -0.0005512226810811193,
      -0.0006251403481801102,
      -0.0006979513021265888,
      -0.000769672074349845,
      -0.0008403189428135866,
      -0.0009099080531457615,
      -0.000978455361127883,
      -0.0010459764092419566,
      -0.0011124865975181229,
      -0.0011780010404541098,
      -0.0012425345944151564,
      -0.0013061020180321506,
      -0.0013687177307932022,
      -0.0014303959208500042,
      -0.0014911506069245216,
      -0.0015509956170465908,
      -0.001609944674782197,
      -0.0016680111093720182,
      -0.0017252075775413412,
      -0.0017815463865701194,
      -0.0018370399052733191,
      -0.0018917004279463926,
      -0.00194554017801121,
      -0.001998571305491856,
      -0.0020508058071117717,
      -0.002102255650046677,
      -0.00215293250697067,
      -0.002202848050038484,
      -0.0022520137041548375,
      -0.0023004406854006277,
      -0.0023481400896288745,
      -0.0023951227516029565,
      -0.0024413994465512802,
      -0.0024869808687457647,
      -0.0025318774509543126,
      -0.002576099449870601
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56660032263259,
      10.335707916434083,
      10.096440750071833,
      9.851950353038408,
      9.604779514343683,
      9.357155735881332,
      9.111019823488977,
      8.867996576017624,
      8.629369864561692,
      8.396082434927777,
      8.168770333482538,
      7.9477890694586115,
      7.733244622598361,
      7.5250246771644465,
      7.322845008761289,
      7.126304123229603,
      6.934924825769788,
      6.748191315533306,
      6.56558143610621,
      6.386592636845311,
      6.21076079060502,
      6.03766257380066,
      5.866926918206085,
      5.698256444659052,
      5.53143022994912,
      5.366303774801225,
      5.202810911172199,
      5.040968842325941,
      4.880857510829388,
      4.722618265022216,
      4.566464616895108,
      4.412679161732645,
      4.2616150274947975,
      4.113657381165368,
      3.969205522658126,
      3.8286552322482974,
      3.6923899446534945,
      3.5607667455722964,
      3.4340993618807225,
      3.3126508860238273,
      3.196629072674653,
      3.086184017299495,
      2.981404933754957,
      2.882309517926755,
      2.788840554023099,
      2.7008783490817656,
      2.6182641633917196,
      2.54078066761616,
      2.468181856183197,
      2.400219277771123,
      2.336632944088587,
      2.277127076929974,
      2.221377858600307,
      2.1690197531469493,
      2.11967440357642,
      2.072984935511045,
      2.028626742829919,
      1.9863037778702652,
      1.9457643333026426,
      1.9067986509688952,
      1.869241130555846,
      1.8329586377712475,
      1.7978399483973422,
      1.7637867883509475,
      1.7307184913489986,
      1.6985692311292555,
      1.6672840277436838,
      1.6368159294795415,
      1.6071241448748514,
      1.5781726368906006,
      1.5499288788064702,
      1.5223617237599945,
      1.4954405541663693,
      1.469137692944104,
      1.44342812165051,
      1.4182889265123035,
      1.3936992654474942,
      1.3696406599147921,
      1.3460963693803827,
      1.3230501930894067,
      1.3004863703884781,
      1.2783896528434469,
      1.2567453395553005,
      1.2355392931412077,
      1.214758772158798,
      1.194392975047631,
      1.1744311108697691,
      1.1548622725451223,
      1.1356761320669728,
      1.1168653392708734,
      1.0984230540721656,
      1.0803418860474796,
      1.062613961283851,
      1.0452309508090694,
      1.028184342957621,
      1.0114656192671951,
      0.9950663650441306,
      0.9789783386277985,
      0.9631935120347155,
      0.9477040931759378,
      0.9325025368534049,
      0.9175815475449478,
      0.9029340767082786,
      0.8885533180279561,
      0.8744327000972194,
      0.8605658786587037,
      0.8469467281773511,
      0.8335693324063687,
      0.8204279760903905,
      0.8075171366367149,
      0.7948314758500326,
      0.7823658318194715,
      0.7701152110910227,
      0.7580747823472307,
      0.7462398688442367,
      0.7346059418102633,
      0.7231686140790461,
      0.7119236345007152,
      0.7008668823735461,
      0.689994361668348,
      0.6793021961870127,
      0.6687866245827299,
      0.6584439959462525,
      0.6482707653116148,
      0.6382634892470628,
      0.6284187717839709,
      0.618733283746436,
      0.6092038150566293,
      0.5998272618489575,
      0.5906006167139396,
      0.5815209613875625,
      0.5725854604475324,
      0.5637913567172722,
      0.5551359673758927,
      0.5466166799771748,
      0.5382309502241691,
      0.5299762988211355,
      0.5218503087409254,
      0.513850623201957,
      0.5059749435553289,
      0.4982210337604942,
      0.49058674604531155,
      0.48307016585901874,
      0.4756696651560166,
      0.46838353812318,
      0.46120999608841523,
      0.4541472115916464,
      0.44719334614107537,
      0.4403465680465477,
      0.4336050514767466,
      0.4269666393327156,
      0.420429053144135,
      0.41399023953245706,
      0.4076483049475871,
      0.40140147310329366,
      0.3952482775388469,
      0.3891878641442714,
      0.3832192733936708,
      0.37734135992838813,
      0.37155286649837077,
      0.3658524727008841,
      0.3602388262512993,
      0.3547105828953039,
      0.34926661158409805,
      0.34390584865937546,
      0.3386271353963209,
      0.33342926007927115,
      0.32831093168411796,
      0.32327061918386796,
      0.3183068077971122,
      0.3134180948978363,
      0.3086032185713449,
      0.3038610602726721,
      0.2991905124343032,
      0.294590466475064,
      0.2900598318486157,
      0.285597541912594,
      0.2812025365936255,
      0.2768737644653865,
      0.2726101861527429,
      0.2684107764976446,
      0.26427452567630977,
      0.26020043979577795,
      0.25618754149637524,
      0.2522350446592676,
      0.24834246562759557,
      0.24450922377850937,
      0.24073462129362116,
      0.2370178877421015,
      0.2333582096946964,
      0.22975475034097612,
      0.22620666236553066,
      0.22271309661369212,
      0.2192732074840903,
      0.21588615681341186,
      0.21255111586135855,
      0.20926726694539216,
      0.20603374151806608,
      0.2028496334557334,
      0.19971408583333075,
      0.19662628392017176,
      0.1935854452326133,
      0.19059081266333056,
      0.18764164996260418,
      0.18473723869060912,
      0.18187687604471395,
      0.179059873287326,
      0.17628555473142501,
      0.1735532570130512,
      0.17086232833098605,
      0.1682121281351076,
      0.16560202669018645,
      0.1630314046479555,
      0.16049965291243481,
      0.1580061724874015,
      0.15555037417837686,
      0.15313167829512753,
      0.15074951464020633,
      0.14840332216092866,
      0.14609254881665956,
      0.14381665146502393,
      0.1415750956649031,
      0.1393673556374662,
      0.13719291382601467,
      0.13505126102015116,
      0.13294189619263888,
      0.13086432611230256,
      0.12881806551461183,
      0.1268026367297155,
      0.12481756963277887,
      0.12286240144538779,
      0.12093667679481154,
      0.119039947376686,
      0.11717177212312763,
      0.11533171666195952,
      0.11351935355438168,
      0.1117342620140038,
      0.10997602779330606,
      0.10824424314233694,
      0.10653850667414178,
      0.10485842329539172,
      0.10320360397956993,
      0.10157366583408198,
      0.09996823173556926,
      0.09838693053859442,
      0.09682939680121067,
      0.09529527076565401,
      0.09378419819275012,
      0.09229583041253606,
      0.09082982405630446,
      0.08938584106835519,
      0.08796354847476041,
      0.08656261856427785,
      0.08518272864881173,
      0.08382356101941982,
      0.08248480276697528,
      0.08116614582367353,
      0.0798672868811076,
      0.07858792728118168,
      0.07732777291073785,
      0.07608653406747509,
      0.07486392551398902,
      0.07365966638814887,
      0.07247348022518554,
      0.07130509465158415,
      0.07015424151418283,
      0.06902065673794298,
      0.06790408016680487,
      0.06680425570512426,
      0.06572093116846718,
      0.06465385815514665,
      0.06360279217988087,
      0.0625674923189498,
      0.0615477213968265,
      0.06054324572199791,
      0.05955383524287155,
      0.0585792633928377,
      0.05761930699884876,
      0.05667374631747546,
      0.055742364848124976,
      0.05482494950194681,
      0.053921290395437686,
      0.05303118067510062,
      0.05215441674156507,
      0.05129079814207242,
      0.05044012731002529,
      0.049602209728435986,
      0.04877685388199018,
      0.04796387108742289,
      0.04716307546788214,
      0.0463742840460443,
      0.045597316511021765,
      0.044831995345335725,
      0.04407814576514278,
      0.04333559549307796,
      0.04260417486461084,
      0.04188371681410638,
      0.04117405687100792,
      0.04047503290788612,
      0.039786485358866426,
      0.039108257002564345,
      0.03844019293843865,
      0.03778214064504177,
      0.03713394996807458,
      0.03649547287560099,
      0.035866563682573176,
      0.03524707888078875,
      0.034636876986112675,
      0.03403581885209129,
      0.03344376734029336,
      0.03286058731636537,
      0.03228614580026848,
      0.03172031169192491,
      0.03116295597866014,
      0.030613951409193783,
      0.03007317277307202,
      0.02954049669772734,
      0.029015801751835088,
      0.028498968199797983,
      0.027989878252789813,
      0.027488415869179206,
      0.026994466574282228,
      0.02650791770672476,
      0.026028658346434207,
      0.025556579243526868,
      0.025091572823816362,
      0.024633532926882366,
      0.024182355077953504,
      0.023737936447995576,
      0.02330017586491169,
      0.022868973532012733,
      0.022444231184767457,
      0.0220258519412031,
      0.0216137404002192,
      0.02120780266846028,
      0.020807946151970486,
      0.020414079676887714,
      0.02002611359062555,
      0.019643959512472175,
      0.0192675302991563,
      0.01889674016787447,
      0.01853150457661314,
      0.018171740185494927,
      0.017817365090072708,
      0.01746829855775076,
      0.017124461086599225,
      0.01678577429119119,
      0.016452160913378363,
      0.016123544996792687,
      0.015799851601594795,
      0.015481006988122641,
      0.01516693857574654,
      0.014857574766499697,
      0.014552845116256163,
      0.014252680090051952,
      0.013957011343179242,
      0.013665771453147676,
      0.013378894183220308,
      0.013096314114581521,
      0.012817966956030807,
      0.012543789209166512,
      0.012273718472832592,
      0.012007693115501416,
      0.011745652485418942,
      0.011487537041641916,
      0.011233287955095445,
      0.010982847291246278,
      0.010736157935611567,
      0.010493163681426146,
      0.010253809193548189,
      0.010018039937729822,
      0.009785802272132403,
      0.009557043262225633,
      0.009331710791154347,
      0.009109753609749511,
      0.008891121008320513,
      0.00867576318382338,
      0.008463631146083003,
      0.008254676691187955,
      0.008048852046759454,
      0.007846110327136797,
      0.007646405463863733,
      0.007449691903948699,
      0.007255924774818161,
      0.007065059962508148,
      0.006877054014943148,
      0.006691864168719869,
      0.0065094481556169275,
      0.006329764450423014,
      0.00615277219056319,
      0.005978431009413078,
      0.005806701151261456,
      0.005637543538198074,
      0.0054709196482918415,
      0.005306791549054469,
      0.005145121837543907,
      0.0049858737226199466,
      0.0048290109058321375,
      0.004674497630002658,
      0.004522298704117462,
      0.004372379479762319,
      0.004224705861538223,
      0.004079244166621013,
      0.003935961247194105,
      0.0037948244938209356,
      0.0036558017520735,
      0.003518861317270502,
      0.0033839720259390715,
      0.0032511031210773547,
      0.0031202243413189197,
      0.002991305903787689,
      0.0028643184636753857,
      0.002739233151598258,
      0.0026160213713005715,
      0.0024946550818051158,
      0.0023751065790474234,
      0.0022573487371590185,
      0.002141354742873028,
      0.00202709813017799,
      0.0019145529374091214,
      0.0018036934396660682,
      0.0016944944234047945,
      0.0015869310236509393,
      0.0014809787982490873,
      0.0013766135746147593,
      0.0012738115775650662,
      0.0011725493421556312,
      0.0010728038572053184,
      0.0009745523665758466,
      0.000877772489836581,
      0.0007824422171138518,
      0.0006885399116711719,
      0.0005960440914963891,
      0.0005049336248419445,
      0.0004151877743978897,
      0.00032678619229590774,
      0.00023970877025355673,
      0.00015393556689025035,
      6.944716219052054e-05,
      -1.3775654367664434e-05,
      -9.575193346120393e-05,
      -0.00017650039928864767,
      -0.00025603939565554035,
      -0.0003343870916725174,
      -0.00041156127946954203,
      -0.00048757957779126235,
      -0.0005624592211247168,
      -0.0006362172038149233,
      -0.0007088703466340365,
      -0.0007804352611500265,
      -0.0008509283067583992,
      -0.0009203655022172944,
      -0.000988762703126085,
      -0.0010561354796564436,
      -0.0011224991204279917,
      -0.0011878686925678756,
      -0.001252259062558553,
      -0.0013156849802257392,
      -0.0013781609584310915,
      -0.0014397011073613356,
      -0.0015003195590722754,
      -0.0015600300265220515,
      -0.001618846124866222,
      -0.0016767812529672186,
      -0.0017338485569459662,
      -0.0017900610074526872,
      -0.0018454307570073922,
      -0.0018999697475656533,
      -0.001953690069139871,
      -0.002006603504592708,
      -0.002058721995777642,
      -0.002110057429651772,
      -0.0021606214495465755,
      -0.0022104255008841734,
      -0.002259481003508231,
      -0.0023077991862881712,
      -0.002355391055101927,
      -0.00240226753777522,
      -0.002448439520597987,
      -0.0024939175157368118,
      -0.0025387120142963786,
      -0.002582833221993867
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566598034424583,
      10.335697581759758,
      10.096416997037675,
      9.851908316943598,
      9.604715467902402,
      9.357067160321055,
      9.11090518643137,
      8.867855092104518,
      8.629201674257931,
      8.395888196986942,
      8.168550811297722,
      7.947545015075282,
      7.732976558339402,
      7.524732727286762,
      7.322529179629243,
      7.125964385996929,
      6.934561136971133,
      6.747803640591574,
      6.565169920231748,
      6.386157549637343,
      6.210302558300453,
      6.0371818820296745,
      5.866424627586188,
      5.697733606506857,
      5.530888152008788,
      5.365744012213617,
      5.20223527931873,
      5.040379443713437,
      4.8802566127048115,
      4.722008368879617,
      4.565848473156296,
      4.412060239684377,
      4.2609970575422995,
      4.113044092384277,
      3.9686005567102822,
      3.828062072577565,
      3.6918119829882015,
      3.5602071039308667,
      3.4335607767370964,
      3.3121356734002436,
      3.1961391084089286,
      3.085720731088913,
      2.980969244636925,
      2.8819017483762184,
      2.788460430862097,
      2.7005250631603723,
      2.617936296213775,
      2.5404762804968986,
      2.467898854337296,
      2.3999554963481033,
      2.3363860704552937,
      2.2768946071743317,
      2.2211571052867507,
      2.1688077639903036,
      2.119468570525002,
      2.072782873774815,
      2.0284262540206566,
      1.9861030443343863,
      1.9455619544627083,
      1.9065936034547553,
      1.8690326907944486,
      1.8327462915723,
      1.797623319860075,
      1.7635656303699827,
      1.7304926625690398,
      1.6983386653073824,
      1.6670487119487354,
      1.6365758878218768,
      1.6068794093867813,
      1.577923255423163,
      1.5496749177323257,
      1.522103291172953,
      1.495177768054863,
      1.468870664939807,
      1.4431569586367143,
      1.418013731421566,
      1.3934201609991383,
      1.3693577839304003,
      1.3458098501230737,
      1.3227601449451034,
      1.3001928981790951,
      1.2780928533238112,
      1.2564453045154405,
      1.2352361097369757,
      1.2144526705872953,
      1.194084196348567,
      1.1741198399792883,
      1.1545486559599367,
      1.1353604141507543,
      1.116547919976678,
      1.0981042206535174,
      1.080021855528294,
      1.0622928933748612,
      1.0449089666530982,
      1.0278615381218716,
      1.0111420716085155,
      0.9947421411702915,
      0.9786534969279406,
      0.9628681051323051,
      0.9473781700606233,
      0.932176143933067,
      0.9172547289749379,
      0.9026068752701836,
      0.8882257751344532,
      0.8741048565005702,
      0.8602377741846222,
      0.8466184017048779,
      0.833240822246523,
      0.8200993204585948,
      0.807188372948339,
      0.7945026405671415,
      0.7820369610521547,
      0.7697863404535924,
      0.7577459467300384,
      0.7459111026354748,
      0.734277278600656,
      0.7228400870706442,
      0.711595276450656,
      0.7005387252501247,
      0.6896664370872991,
      0.6789745352044698,
      0.6684592578624163,
      0.6581169535121968,
      0.6479440764714994,
      0.637937182634486,
      0.628092873764686,
      0.618407820297324,
      0.6088788121870956,
      0.5995027456611157,
      0.590276613177541,
      0.5811974960075041,
      0.5722625583570579,
      0.5634690425614326,
      0.5548142651628998,
      0.546295613609719,
      0.5379105428039725,
      0.5296565729898108,
      0.521531286683428,
      0.5135323266697355,
      0.5056573937305866,
      0.497904258108807,
      0.49027077763458027,
      0.4827551071577669,
      0.47535561928252096,
      0.46807057662853513,
      0.4608981699399711,
      0.4538365579604663,
      0.44688389292557623,
      0.4400383371133964,
      0.4332980729134104,
      0.4266610055832165,
      0.4201248479365994,
      0.413687520381484,
      0.40734711200632123,
      0.4011018351019103,
      0.3949503120177861,
      0.3888916892892246,
      0.3829249660829418,
      0.37704896986115993,
      0.3712624254396285,
      0.365564000173335,
      0.3599523338566287,
      0.3544260917766522,
      0.3489841594442116,
      0.34362545791486554,
      0.3383488185587407,
      0.33315302312107753,
      0.3280367758385217,
      0.32299854240562376,
      0.3180368064887557,
      0.31315016453342054,
      0.30833736693270736,
      0.30359729576884265,
      0.2989288379459384,
      0.29433088140418306,
      0.2898023345851911,
      0.28534212929283004,
      0.2809492038215331,
      0.2766225056108701,
      0.2723609944142461,
      0.26816364449776986,
      0.2640294456005636,
      0.2599574035788211,
      0.2559465406999116,
      0.2519960904210634,
      0.24810557041440595,
      0.2442743922584953,
      0.2405018528514284,
      0.2367871782472162,
      0.2331295525299121,
      0.22952813730578045,
      0.22598208425363372,
      0.2224905434421669,
      0.21905266879453125,
      0.21566762158812933,
      0.2123345729198615,
      0.20905270493170613,
      0.20582114425583597,
      0.20263898435447616,
      0.19950537000043045,
      0.19641948764644315,
      0.19338055545546978,
      0.1903878168514346,
      0.1874405359378514,
      0.184537994616148,
      0.1816794900696882,
      0.17886433357266718,
      0.17609184960163782,
      0.17336137471385546,
      0.17067225713589984,
      0.1680238561647837,
      0.16541554208053127,
      0.16284669560943352,
      0.16031670771913467,
      0.15782497932559558,
      0.1553709211915131,
      0.15295395367254783,
      0.150573506553014,
      0.1482290187477319,
      0.14591993826451552,
      0.14364572198810396,
      0.14140583538734347,
      0.13919975266001178,
      0.13702695630475067,
      0.13488693711784347,
      0.13277919399793045,
      0.13070323381268664,
      0.12865857115568935,
      0.12664472837465715,
      0.12466123544492075,
      0.12270762966281548,
      0.12078345556508865,
      0.11888826499791404,
      0.1170216167698952,
      0.11518307661982087,
      0.1133722170406172,
      0.11158861720782037,
      0.10983186302493458,
      0.1081015468151466,
      0.10639726707211235,
      0.1047186287527811,
      0.10306524292324927,
      0.10143672657137394,
      0.09983270278245933,
      0.09825280052195677,
      0.09669665433620905,
      0.09516390446636942,
      0.09365419677171959,
      0.0921671824494515,
      0.0907025181546098,
      0.08925986592846144,
      0.08783889299339759,
      0.08643927160992286,
      0.08506067909125678,
      0.08370279771152696,
      0.08236531475212784,
      0.08104792214282938,
      0.0797503165870493,
      0.07847219938217892,
      0.07721327649216284,
      0.07597325838830692,
      0.07475185997980623,
      0.07354880029231144,
      0.07236380288711354,
      0.07119659554244011,
      0.07004691004578625,
      0.06891448242354985,
      0.06779905259136927,
      0.0667003645498446,
      0.06561816611152337,
      0.064552208972857,
      0.06350224866356713,
      0.06246804425879385,
      0.061449358629039906,
      0.060445958297100325,
      0.059457613200306014,
      0.05848409681215532,
      0.05752518614028902,
      0.056580661346208976,
      0.055650306025982275,
      0.05473390711207569,
      0.05383125479727908,
      0.052942142506246265,
      0.052066366573401975,
      0.051203726507547606,
      0.05035402493430566,
      0.049517067394601204,
      0.048692662291088776,
      0.04788062099114004,
      0.047080757722086856,
      0.04629288965825045,
      0.045516836599391874,
      0.04475242095825346,
      0.043999467932727,
      0.043257805351320115,
      0.04252726375488148,
      0.04180767607483264,
      0.04109887786460487,
      0.040400707101835735,
      0.03971300428006072,
      0.03903561224269789,
      0.03836837625817346,
      0.03771114382757911,
      0.03706376473962293,
      0.03642609113404815,
      0.035797977370695656,
      0.03517927989451459,
      0.034569857423040765,
      0.033969570901293246,
      0.033378283096063444,
      0.03279585897655591,
      0.032222165572186344,
      0.03165707199127089,
      0.031100449138895744,
      0.030552169944651167,
      0.030012109190649772,
      0.029480143569456666,
      0.028956151673285944,
      0.02844001393294273,
      0.02793161256425154,
      0.027430831425547884,
      0.02693755635278304,
      0.026451674738418914,
      0.02597307563838082,
      0.02550164982150867,
      0.02503728971135574,
      0.024579889442501158,
      0.024129344605441066,
      0.023685552404287782,
      0.023248411547122483,
      0.02281782231405697,
      0.022393686427661433,
      0.021975907126282484,
      0.021564389135344954,
      0.021159038605870987,
      0.020759763045939225,
      0.020366471404164463,
      0.019979073941852277,
      0.019597482339649905,
      0.019221609510700764,
      0.018851369723851964,
      0.01848667856688544,
      0.018127452901951974,
      0.017773610648153432,
      0.017425071108733446,
      0.0170817549156258,
      0.016743583718577905,
      0.016410480323307722,
      0.01608236884693229,
      0.015759174420633813,
      0.015440823360588118,
      0.015127243025492194,
      0.014818361862428325,
      0.014514109514613453,
      0.01421441665350892,
      0.013919214859842783,
      0.0136284367815236,
      0.013342016193962778,
      0.013059887765877774,
      0.012781987165525747,
      0.012508250993177658,
      0.012238616863116855,
      0.011973023337132582,
      0.011711409740742144,
      0.011453716497814919,
      0.01119988480146398,
      0.01094985677782537,
      0.01070357556440829,
      0.01046098494697229,
      0.010222029590726765,
      0.009986654995068461,
      0.009754807451314153,
      0.009526434182274182,
      0.009301483153883313,
      0.00907990300489538,
      0.008861643233379034,
      0.008646653998450287,
      0.008434886395532339,
      0.008226292079897526,
      0.008020823503426403,
      0.007818433855066592,
      0.007619077010680898,
      0.007422707453990911,
      0.007229280460493498,
      0.007038751972826311,
      0.006851078618750845,
      0.006666217502805582,
      0.006484126553217618,
      0.006304764108638374,
      0.006128089289015507,
      0.005954061905096422,
      0.00578264224995197,
      0.005613791286562901,
      0.005447470488217195,
      0.005283641935466289,
      0.005122268313478997,
      0.004963312842038191,
      0.004806739239329009,
      0.004652511853088639,
      0.004500595558704606,
      0.0043509556659689875,
      0.004203558037244111,
      0.00405836904916581,
      0.003915355632114629,
      0.003774485267920035,
      0.003635725817388027,
      0.0034990455915862944,
      0.003364413405457748,
      0.003231798595384305,
      0.003101171013254537,
      0.0029725008511616922,
      0.002845758823359037,
      0.0027209159552922884,
      0.00259794373741149,
      0.002476814178592603,
      0.0023574997408838953,
      0.0022399731550422288,
      0.0021242075932594883,
      0.0020101767103997666,
      0.0018978544894366271,
      0.0017872154447734123,
      0.0016782343441585075,
      0.001570886217634465,
      0.0014651465904122031,
      0.001360991482128371,
      0.0012583971536051447,
      0.001157340166509922,
      0.0010577974756890375,
      0.0009597463514165022,
      0.0008631644621110928,
      0.0007680298436755479,
      0.0006743207941942492,
      0.0005820158588647149,
      0.00049109399384297,
      0.0004015344770869869,
      0.0003133169734233048,
      0.00022642139750456326,
      0.00014082792397748995,
      5.651706871328211e-05,
      -2.6530451419226684e-05,
      -0.00010833351420513569,
      -0.0001889107680568905,
      -0.0002682806034372776,
      -0.0003464611614233667,
      -0.0004234702840858449,
      -0.0004993254382884672,
      -0.0005740438222795572,
      -0.0006476425923960899,
      -0.0007201385422727208,
      -0.0007915482642341355,
      -0.0008618879791633293,
      -0.0009311736572951006,
      -0.0009994211318530674,
      -0.0010666459514072674,
      -0.0011328634088591594,
      -0.0011980885825860136,
      -0.0012623364592432218,
      -0.0013256216426295307,
      -0.001387958532001067,
      -0.0014493613021943834,
      -0.0015098440356833443,
      -0.0015694204025057327,
      -0.0016281040001928215,
      -0.0016859082225709752,
      -0.0017428462552928031,
      -0.001798931127501085,
      -0.0018541756485415326,
      -0.0019085922164939714,
      -0.0019621924853003197,
      -0.002014988046388519,
      -0.0020669905824300533,
      -0.0021182117287357445,
      -0.002168663036259545,
      -0.002218355914939909,
      -0.002267301647078976,
      -0.0023155114568711266,
      -0.002362996401811193,
      -0.0024097672572664874,
      -0.0024558348260084587,
      -0.0025012096873606566,
      -0.0025459022455231735,
      -0.0025899228722707605
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566595744487246,
      10.335687239053616,
      10.096393223587944,
      9.851866242877755,
      9.604651361038375,
      9.356978497585054,
      9.110790431382496,
      8.867713454693742,
      8.629033282012367,
      8.395693699905289,
      8.168330974279087,
      7.947300589188609,
      7.732708067431085,
      7.524440296524981,
      7.322212818009448,
      7.125624066786518,
      6.934196817494167,
      6.74741528780716,
      6.564757681903085,
      6.385721696711772,
      6.209843517774174,
      6.03670034056016,
      5.865921447621427,
      5.697209837550568,
      5.530345099563882,
      5.365183234209057,
      5.201658592954416,
      5.039788946025008,
      4.879654568606368,
      4.7213972857034445,
      4.565231107013444,
      4.411440066510642,
      4.260377813984608,
      4.112429513075952,
      3.9679942883993906,
      3.827467629158313,
      3.6912327832000558,
      3.5596462672877736,
      3.43302103686263,
      3.3116193440622976,
      3.195648062918972,
      3.0852563966142124,
      2.980532537966695,
      2.881492989449702,
      2.788079343880797,
      2.70017083718937,
      2.617607511255026,
      2.540170995890574,
      2.4676149730890304,
      2.3996908536413146,
      2.3361383541077023,
      2.2766613130786335,
      2.220935545052393,
      2.168594985196359,
      2.119261965224265,
      2.072580062542116,
      2.0282250375447144,
      1.9859016045305367,
      1.9453588900235184,
      1.906387890980548,
      1.8688236062211538,
      1.832533320679816,
      1.7974060863725583,
      1.7633438865193685,
      1.7302662662857349,
      1.698107550098093,
      1.6668128641358122,
      1.6363353309404953,
      1.6066341753764566,
      1.5776733924791986,
      1.549420492251103,
      1.521844410498955,
      1.494914550032557,
      1.4686032205990815,
      1.4428853938567407,
      1.4177381484953862,
      1.3931406821714905,
      1.3690745468695982,
      1.3455229831113433,
      1.3224697622075043,
      1.2998991038441001,
      1.2777957446016401,
      1.2561449726673555,
      1.2349326419857942,
      1.2141462974395474,
      1.1937751591957622,
      1.1738083234435341,
      1.1542348066287424,
      1.1350445146413757,
      1.1162303565587646,
      1.0977852711262004,
      1.0797017301471599,
      1.061971747658119,
      1.0445869195121062,
      1.0275386833252111,
      1.0108184862565803,
      0.9944178904265646,
      0.9783286385747438,
      0.9625426919216192,
      0.947052250830369,
      0.9318497645580617,
      0.9169279335101379,
      0.9022797064739849,
      0.887898274525548,
      0.8737770645583822,
      0.8599097304905416,
      0.8462901453805034,
      0.8329123917227089,
      0.8197707531351301,
      0.806859705607335,
      0.7941739097786963,
      0.781708202707564,
      0.7694575901047859,
      0.7574172393620013,
      0.7455824725831693,
      0.7339487597376775,
      0.7225117127868281,
      0.7112670794945358,
      0.7002107379198877,
      0.6893386908286259,
      0.6786470608870971,
      0.6681320857433635,
      0.657790113394736,
      0.6476175978315138,
      0.6376110934424472,
      0.6277672002124421,
      0.618082588473621,
      0.6085540483723689,
      0.5991784758794129,
      0.5899528632262598,
      0.580874291429525,
      0.5719399243308068,
      0.5631470036063193,
      0.5544928454483994,
      0.5459748365968125,
      0.5375904315662993,
      0.529337150045466,
      0.5212125740998692,
      0.5132143460860141,
      0.5053401662216441,
      0.49758781477957764,
      0.4899551688613373,
      0.48244044318688534,
      0.4750419926716559,
      0.4677580521512324,
      0.4605867938159479,
      0.4535263641437096,
      0.4465749073621625,
      0.43973058018683936,
      0.4329915612561181,
      0.4263558253115614,
      0.41982108900417475,
      0.41338524470499527,
      0.40704636256207644,
      0.40080264228100687,
      0.3946527944758052,
      0.38859596581055833,
      0.38263111398664545,
      0.3767570388507506,
      0.37097244712776967,
      0.36527599433248,
      0.35966631220716383,
      0.35414207522068264,
      0.3487021856932639,
      0.34334554926230815,
      0.338070987426025,
      0.33287727553748464,
      0.3277631129738875,
      0.3227269620184034,
      0.31776730499474876,
      0.31288273746357226,
      0.3080720221573633,
      0.3033340414988135,
      0.2986676772254269,
      0.29407181347372896,
      0.28954535799641706,
      0.28508724106193944,
      0.2806963990969547,
      0.27637177826003617,
      0.27211233764163645,
      0.26791705082237616,
      0.2637849071089066,
      0.25971491204659364,
      0.2557060876857256,
      0.25175768715172636,
      0.2478692292456821,
      0.2440401177376869,
      0.24026964433356032,
      0.23655703143422757,
      0.23290146090578603,
      0.2293020926963846,
      0.22575807720103186,
      0.22226856381415747,
      0.21883270603426802,
      0.2154496646935478,
      0.21211861061110418,
      0.20883872577791351,
      0.20560913218254093,
      0.20242892274486085,
      0.19929724398541726,
      0.19621328350087144,
      0.19317626017590406,
      0.1901854179136064,
      0.1872400210932963,
      0.18433935168886956,
      0.18148270709590242,
      0.17866939878763977,
      0.17589875110873462,
      0.1731701006673036,
      0.17048279576389397,
      0.16783619570329855,
      0.16522967070659014,
      0.1626626014811687,
      0.16013437898382502,
      0.15764440419689282,
      0.1551920878162707,
      0.15277685014957118,
      0.15039812088099141,
      0.14805533900135867,
      0.1457479524778287,
      0.14347541820253293,
      0.1412372018392248,
      0.13903277741486086,
      0.13686162742509828,
      0.13472324271586353,
      0.13261712217975283,
      0.13054277256518998,
      0.12849970862675805,
      0.12648745274021256,
      0.12450553477573302,
      0.12255349210863105,
      0.12063086929057998,
      0.11873721813123254,
      0.11687209749711987,
      0.11503507318369396,
      0.11322571770124817,
      0.11144361032411355,
      0.10968833682418398,
      0.10795948956287874,
      0.10625666724176193,
      0.10457947477608236,
      0.1029275231566138,
      0.1013004294779825,
      0.09969781672644977,
      0.09811931387393936,
      0.09656455561013233,
      0.09503318219619902,
      0.09352483950256318,
      0.09203917898279793,
      0.09057585725373656,
      0.08913453628454843,
      0.08771488328019239,
      0.08631657058900696,
      0.0849392755902682,
      0.0835826806535014,
      0.08224647303235628,
      0.08093034476638322,
      0.07963399261234101,
      0.07835711799535132,
      0.07709942684637928,
      0.07586062955739656,
      0.07464044107333473,
      0.07343858072711548,
      0.07225477207740864,
      0.07108874280958526,
      0.0699402249124243,
      0.06880895433259511,
      0.06769467112412213,
      0.06659711937089788,
      0.06551604696507513,
      0.06445120569488139,
      0.06340235099396516,
      0.062369242162093795,
      0.06135164202107424,
      0.06034931707050634,
      0.059362037405693555,
      0.05838957652163523,
      0.057431711419338,
      0.05648822251168824,
      0.055558893383234234,
      0.05464351103582021,
      0.0537418657076907,
      0.05285375074634039,
      0.05197896269651498,
      0.05111730105982846,
      0.05026856845363207,
      0.0494325705364299,
      0.0486091159007257,
      0.04779801603353426,
      0.04699908514221397,
      0.04621214031130229,
      0.045437001428738334,
      0.04467349108128697,
      0.04392143453023224,
      0.04318065963048463,
      0.042450996899326326,
      0.041732279461857695,
      0.04102434296504544,
      0.04032702536126318,
      0.03964016715578658,
      0.03896361132950867,
      0.03829720310634897,
      0.03764079015200036,
      0.03699422240981946,
      0.03635735189779273,
      0.03573003307016901,
      0.03511212250764329,
      0.034503478959334435,
      0.03390396336113028,
      0.033313438729100336,
      0.03273177010528833,
      0.032158824571771376,
      0.03159447111980715,
      0.03103858074916368,
      0.03049102645412721,
      0.029951683141130756,
      0.029420427540823385,
      0.028897138330885103,
      0.028381695967249022,
      0.027873982776842963,
      0.027373882771076052,
      0.02688128165061885,
      0.026396066911895732,
      0.02591812772517117,
      0.02544735499752594,
      0.024983641124107003,
      0.0245268802352313,
      0.024076967979498178,
      0.023633801662501615,
      0.023197280137583428,
      0.022767303702721054,
      0.022343774117374756,
      0.021926594726913703,
      0.02151567019861268,
      0.02111090666394604,
      0.02071221183431534,
      0.020319494665294,
      0.019932665489694443,
      0.019551635978309032,
      0.019176319213695028,
      0.01880662944517677,
      0.018442482363538685,
      0.01808379484719931,
      0.01773048495473728,
      0.017382471946957502,
      0.01703967646057208,
      0.016702020260961452,
      0.016369426310698574,
      0.016041818722058895,
      0.015719122765050633,
      0.015401264688953429,
      0.015088171903957198,
      0.014779772970140805,
      0.014475997597394576,
      0.014176776350622759,
      0.013882041007471901,
      0.013591724271514116,
      0.013305759915766683,
      0.013024082573701157,
      0.012746628061862948,
      0.012473333058188448,
      0.012204135190891587,
      0.01193897301012427,
      0.011677785943965402,
      0.0114205144491981,
      0.011167099790318734,
      0.010917484190914812,
      0.010671610715064804,
      0.01042942324767294,
      0.010190866458734762,
      0.00995588594899576,
      0.009724428080959571,
      0.00949644008013347,
      0.00927186990447187,
      0.009050666389967708,
      0.008832778897210779,
      0.008618157818970877,
      0.008406754245525115,
      0.008198519823398025,
      0.007993407074978568,
      0.007791369186496752,
      0.007592360066093301,
      0.00739633432848627,
      0.007203247173826092,
      0.007013054549347665,
      0.006825713065418838,
      0.006641179965245962,
      0.006459413186066932,
      0.006280371295810377,
      0.006104013457909823,
      0.005930299353435469,
      0.005759189404781782,
      0.005590644455270216,
      0.005424626156166444,
      0.005261096700526993,
      0.005100018732722115,
      0.004941355456380533,
      0.004785070706298929,
      0.004631128800073857,
      0.004479494588742244,
      0.004330133516216798,
      0.004183011489935229,
      0.0040380949315460745,
      0.003895350759668749,
      0.0037547464125582616,
      0.0036162499175437517,
      0.0034798296701616985,
      0.0033454544500122205,
      0.0032130935209375468,
      0.003082716802888427,
      0.0029542945248189935,
      0.0028277974258662853,
      0.0027031966470120175,
      0.0025804637322249737,
      0.0024595706820655914,
      0.0023404898820105838,
      0.0022231942166874353,
      0.002107656893484523,
      0.0019938515218050888,
      0.0018817521366654578,
      0.0017713332368120014,
      0.0016625695890914445,
      0.0015554363330570358,
      0.0014499091058982844,
      0.0013459637878745604,
      0.0012435766874154906,
      0.0011427244799294212,
      0.001043384154644909,
      0.000945533025735431,
      0.0008491487070466147,
      0.0007542092913728767,
      0.0006606930925365489,
      0.0005685787704384986,
      0.0004778452470156677,
      0.0003884718526932904,
      0.0003004383150825024,
      0.00021372446322823316,
      0.0001283106064489125,
      4.41771768665311e-05,
      -3.869506714798842e-05,
      -0.00012032500222269484,
      -0.000200731290443143,
      -0.00027993229353371794,
      -0.000357946068576548,
      -0.00043479036272610203,
      -0.0005104826190194756,
      -0.0005850401531578373,
      -0.0006584799989315368,
      -0.0007308189685426997,
      -0.0008020735214126897,
      -0.0008722598926399365,
      -0.0009413941247209999,
      -0.0010094920033522827,
      -0.0010765690303333381,
      -0.0011426405164062419,
      -0.0012077214693142486,
      -0.001271826843893204,
      -0.0013349712696669308,
      -0.0013971691976166643,
      -0.0014584346959117297,
      -0.0015187817024962516,
      -0.001578224035140706,
      -0.0016367752484881346,
      -0.0016944487701864412,
      -0.0017512577561640487,
      -0.0018072151233034623,
      -0.001862333657472481,
      -0.0019166259490636243,
      -0.001970104347060339,
      -0.0020227808423380284,
      -0.002074666681892205,
      -0.002125773176576927,
      -0.0021761116179805132,
      -0.002225693335720182,
      -0.002274529487343328,
      -0.0023226311721250737,
      -0.0023700093156449526,
      -0.002416674840017108,
      -0.002462638388518006,
      -0.0025079105518853637,
      -0.0025525017127641983,
      -0.0025964220737589535
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56659345516026,
      10.335676899193883,
      10.096369455112548,
      9.851824172491686,
      9.604587250437095,
      9.356889818155492,
      9.110675640657359,
      8.867571760019665,
      8.628864804067614,
      8.395499080250218,
      8.168110980978478,
      7.947055977740391,
      7.732439363775771,
      7.524147626743703,
      7.32189619134072,
      7.125283456395322,
      6.933832181998392,
      6.747026594852049,
      6.564345078916485,
      6.385285455757563,
      6.209384067570234,
      6.0362183704002454,
      5.865417821653557,
      5.696685600375225,
      5.529801553877907,
      5.364621940987408,
      5.201081373934947,
      5.03919787191646,
      4.879051878028114,
      4.7207854949079895,
      4.564612981082751,
      4.410819090418088,
      4.25975773275247,
      4.111814070023528,
      3.967387137374474,
      3.826872289288802,
      3.6906526783465665,
      3.559084522608429,
      3.43248039075115,
      3.3111021139160224,
      3.1951561255033223,
      3.0847911815215485,
      2.9800949638614362,
      2.881083377627559,
      2.7876974198783,
      2.699815742042414,
      2.617277787354156,
      2.5398647170425863,
      2.4673300560101805,
      2.399425144550118,
      2.3358895518801344,
      2.2764269236809644,
      2.220712889557544,
      2.1683811188617477,
      2.11905428608194,
      2.072376196126065,
      2.0280227879441677,
      1.9856991559440909,
      1.9451548436111357,
      1.9061812242966272,
      1.8686135960744452,
      1.832319452989878,
      1.7971879842544305,
      1.7631213018240013,
      1.7300390565718764,
      1.697875647960154,
      1.6665762552666052,
      1.6360940385882239,
      1.6063882310870683,
      1.577422843549086,
      1.5491654044940901,
      1.5215848907973992,
      1.4946507150825254,
      1.4683351811792051,
      1.442613256193372,
      1.4174620146127948,
      1.39286067419881,
      1.3687908020097743,
      1.3452356292949124,
      1.3221789134266315,
      1.2996048637621216,
      1.2774982090747027,
      1.2558442324972747,
      1.234628783410026,
      1.2138395509824313,
      1.1934657660532904,
      1.1734964685449243,
      1.1539206357982992,
      1.1347283760848117,
      1.115912611927405,
      1.097466183104697,
      1.0793814993335373,
      1.0616505229167301,
      1.0442648145189197,
      1.0272157888395774,
      1.0104948770150701,
      0.9940936306862492,
      0.978003784989744,
      0.962217295944334,
      0.9467263604876824,
      0.9315234253510775,
      0.9166011889471536,
      0.9019525985935667,
      0.8875708444105471,
      0.8734493524854272,
      0.8595817764279695,
      0.8459619879524193,
      0.8325840691484302,
      0.8194423030406848,
      0.80653116513546,
      0.7938453153852255,
      0.7813795904076771,
      0.7691289953806204,
      0.7570886969608305,
      0.7452540166120779,
      0.7336204238524787,
      0.7221835298383931,
      0.7109390819300623,
      0.6998829576676763,
      0.6890111594550141,
      0.6783198094920113,
      0.6678051449501244,
      0.6574635130778723,
      0.6472913672177902,
      0.6372852602635353,
      0.627441790405642,
      0.6177576284416624,
      0.6082295642615637,
      0.598854493666139,
      0.5896294085170781,
      0.580551389433252,
      0.5716175999510472,
      0.5628252814005074,
      0.5541717493773526,
      0.5456543901488746,
      0.5372706577987634,
      0.5290180713396713,
      0.5208942125460221,
      0.5128967232004117,
      0.5050233044635337,
      0.4972717459883711,
      0.48963996267511434,
      0.48212621841487824,
      0.4747288309572655,
      0.4674460108617759,
      0.46027591456069417,
      0.4532166778757909,
      0.44626643791384096,
      0.43942334668169813,
      0.4326855795597816,
      0.4260511809338309,
      0.4195178716536355,
      0.4130835158790047,
      0.4067461652527583,
      0.4005040067959885,
      0.39435583918596023,
      0.3883008091402414,
      0.38233783286915457,
      0.37646568298358546,
      0.37068304814098557,
      0.36498857183617023,
      0.359380877731176,
      0.3538586497526557,
      0.3484208066707214,
      0.3430662389292834,
      0.3377937579972546,
      0.3326021327278524,
      0.3274900578480176,
      0.3224559925399136,
      0.31749841766319736,
      0.3126159292728537,
      0.3078073016640824,
      0.30307141601089227,
      0.2984071490087567,
      0.2938133813918604,
      0.2892890201659077,
      0.2848329942967883,
      0.2804442385243567,
      0.27612169775431283,
      0.2718643302516145,
      0.26767110909150393,
      0.26354102309878014,
      0.2594730774845249,
      0.25546629396878817,
      0.25151994519309545,
      0.2476335513285429,
      0.24380650827204503,
      0.2400381024463926,
      0.23632755287676507,
      0.23267403900496236,
      0.22907671920687092,
      0.2255347428062543,
      0.22204725843104509,
      0.21861341905009524,
      0.21523238514871104,
      0.21190332712476168,
      0.20862542614048246,
      0.20539779992786947,
      0.2022195416574439,
      0.19908979941236465,
      0.19600776172335707,
      0.19297264819031246,
      0.18998370323987865,
      0.1870401915080363,
      0.18414139513661748,
      0.18128661167646634,
      0.17847515262874897,
      0.17570634235248583,
      0.1729795174813807,
      0.17029402630112056,
      0.16764922818770245,
      0.16504449330907175,
      0.16247920242364552,
      0.15995274638797935,
      0.1574645260147691,
      0.15501395214804325,
      0.15260044503925674,
      0.15022343436605065,
      0.14788235911082087,
      0.1455766673887233,
      0.14330581601495823,
      0.14106927054780893,
      0.1388665050575012,
      0.1366970020977666,
      0.13456025238362748,
      0.13245575487508526,
      0.13038301639497826,
      0.1283415517161315,
      0.12633088311831872,
      0.12435054056011567,
      0.12240006142221921,
      0.12047899033129802,
      0.11858687906966064,
      0.11672328640552825,
      0.11488777819346825,
      0.11307992709042972,
      0.11129931229328419,
      0.1095455196728446,
      0.10781814157311036,
      0.1061167766126618,
      0.10444102979924574,
      0.10279051228354787,
      0.10116484119725055,
      0.099563639536189,
      0.09798653629870904,
      0.09643316611594803,
      0.09490316935315428,
      0.09339619188667135,
      0.09191188510368042,
      0.09044990577412712,
      0.08900991601136547,
      0.08759158295852558,
      0.08619457900152863,
      0.08481858162459675,
      0.08346327325218444,
      0.08212834108888226,
      0.08081347725632042,
      0.07951837856237289,
      0.07824274646832206,
      0.07698628698039381,
      0.0757487105988861,
      0.07452973232453526,
      0.07332907145535363,
      0.07214645157704659,
      0.07098160041942309,
      0.06983425004250164,
      0.06870413657730903,
      0.06759100007046692,
      0.06649458451812904,
      0.06541463800954656,
      0.06435091231638618,
      0.0633031630172163,
      0.06227114925734271,
      0.06125463412004981,
      0.06025338418498096,
      0.05926716958008789,
      0.05829576388439161,
      0.05733894411028518,
      0.05639649065083907,
      0.05546818728140412,
      0.054553821030275736,
      0.05365318214760446,
      0.05276606410862502,
      0.051892263469813446,
      0.051031579717599876,
      0.05018381561174493,
      0.04934877694260296,
      0.04852627231928946,
      0.047716113283485594,
      0.04691811411576357,
      0.04613209196116488,
      0.045357866755573704,
      0.04459526113706758,
      0.04384410050153743,
      0.04310421285206552,
      0.042375428674589634,
      0.04165758110233592,
      0.04095050575356536,
      0.04025404076322204,
      0.03956802668104346,
      0.03889230649339106,
      0.03822672549842027,
      0.037571131432099156,
      0.0369253743552609,
      0.03628930642875267,
      0.035662782075166044,
      0.03504565799664469,
      0.03443779299443558,
      0.03383904806407048,
      0.03324928625049728,
      0.03266837256870231,
      0.032096174221139556,
      0.03153256021931894,
      0.030977401756833833,
      0.030430571820602798,
      0.029891945471185257,
      0.029361399500888636,
      0.028838812588731343,
      0.028324065226944892,
      0.02781703970582597,
      0.027317620124323278,
      0.026825692375894203,
      0.026341144014010963,
      0.0258638642961783,
      0.025393743954175235,
      0.02493067560028351,
      0.02447455341502809,
      0.024025273204164293,
      0.023582732226344074,
      0.023146829382734147,
      0.022717464942108204,
      0.022294540907687153,
      0.021877960620681612,
      0.021467628789056115,
      0.02106345172524748,
      0.020665337093833617,
      0.020273193810642576,
      0.019886932373217814,
      0.01950646456119999,
      0.019131703396036086,
      0.018762563213903995,
      0.01839895966075285,
      0.018040809756415872,
      0.01768803164568084,
      0.017340544741979054,
      0.016998269583483737,
      0.01666112804334095,
      0.016329043093211454,
      0.016001938966156627,
      0.015679740910275918,
      0.015362375290171999,
      0.015049769584644115,
      0.014741852356872833,
      0.014438553285873523,
      0.014139803151812924,
      0.013845533729986826,
      0.01355567771406069,
      0.013270168865843984,
      0.01298894202877753,
      0.012711933038116843,
      0.01243907855196513,
      0.01217031624807409,
      0.011905584814750101,
      0.011644823755075003,
      0.011387973524778121,
      0.011134975496012216,
      0.010885771887996287,
      0.010640305760577458,
      0.010398521026287732,
      0.010160362402810617,
      0.009925775539767086,
      0.009694706945311193,
      0.009467103852610981,
      0.009242914165623528,
      0.009022086718953964,
      0.008804571185367573,
      0.008590317859077056,
      0.008379277734434374,
      0.008171402663521054,
      0.007966645160680337,
      0.007764958502596482,
      0.007566296513047247,
      0.007370613839825844,
      0.007177865891259674,
      0.006988008629319675,
      0.006800998702254366,
      0.006616793433460838,
      0.006435350698506979,
      0.006256629090712871,
      0.006080587790270329,
      0.00590718656325821,
      0.005736385877128787,
      0.005568146739241279,
      0.005402430734712644,
      0.005239199964677049,
      0.005078417139266332,
      0.004920045603038071,
      0.0047640491337456745,
      0.004610392220186604,
      0.00445903974444428,
      0.0043099571814796695,
      0.004163110361619375,
      0.0040184657946808495,
      0.003875990436473208,
      0.0037356517309454964,
      0.0035974177051493294,
      0.0034612568499420965,
      0.003327138047253463,
      0.003195030587942941,
      0.003064904324717414,
      0.0029367295599671424,
      0.0028104769864144476,
      0.0026861178398940237,
      0.002563623722427798,
      0.0024429666624441837,
      0.0023241190749512483,
      0.0022070538059654346,
      0.0020917442167783405,
      0.0019781638947839355,
      0.0018662869826049906,
      0.001756087942696484,
      0.0016475415781390633,
      0.001540623029106532,
      0.0014353079106051419,
      0.0013315722676409444,
      0.001229392322301541,
      0.001128744679135838,
      0.0010296064752051588,
      0.000931955124894712,
      0.0008357681865558108,
      0.0007410237327778955,
      0.000647700194057329,
      0.0005557761532766446,
      0.0004652307006448719,
      0.000376043249751569,
      0.0002881933359123746,
      0.00020166087934638297,
      0.00011642613171267102,
      3.24696940750949e-05,
      -5.0227661076863395e-05,
      -0.00013168487429793586,
      -0.00021192049571047917,
      -0.00029095279584532034,
      -0.0003687998756535591,
      -0.0004454795082771663,
      -0.0005210092728418697,
      -0.0005954063495937584,
      -0.0006686877148871842,
      -0.0007408699021291434,
      -0.0008119696013519226,
      -0.0008820029548497781,
      -0.000950986065967993,
      -0.0010189346742289268,
      -0.0010858642552087126,
      -0.00115179011322993,
      -0.0012167272758070262,
      -0.0012806906166442508,
      -0.0013436947038299356,
      -0.0014057539526059956,
      -0.0014668824528910546,
      -0.0015270942408553989,
      -0.0015864031186503516,
      -0.0016448225242066403,
      -0.0017023657302060332,
      -0.0017590459789756888,
      -0.0018148761844694083,
      -0.001869869072180617,
      -0.0019240372417614693,
      -0.0019773930828661085,
      -0.002029948709365927,
      -0.0020817162104900034,
      -0.0021327070493936755,
      -0.00218293221638808,
      -0.002232402564573834,
      -0.002281129075126986,
      -0.0023291227031237206,
      -0.0023763944716152273,
      -0.0024229549290340387,
      -0.002468814751321906,
      -0.0025139844464446646,
      -0.0025584743511045042,
      -0.0026022946647011637
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566591165833275,
      10.335666558826016,
      10.096345685011963,
      9.851782098429544,
      9.604523131963742,
      9.35680112534307,
      9.110560833247368,
      8.867430045402026,
      8.62869630195236,
      8.395304435361195,
      8.16789096165968,
      7.946811339899975,
      7.7321706327237605,
      7.523854928039012,
      7.321579534122757,
      7.124942814676682,
      6.933467514206373,
      6.74663786895451,
      6.56393244481258,
      6.384849186711946,
      6.208924594815075,
      6.035736385543394,
      5.864914189825178,
      5.696161362744498,
      5.529258011095872,
      5.364060656611237,
      5.200504171009373,
      5.038606782048072,
      4.878449110611021,
      4.720173574979075,
      4.563994681394783,
      4.410197902511744,
      4.259137408121202,
      4.111198356403637,
      3.9667796932858144,
      3.8262766397685164,
      3.690072252023593,
      3.5585224465063696,
      3.4319394049539365,
      3.3105845372229017,
      3.1946638358927077,
      3.084325609712058,
      2.9796570289521265,
      2.880673401733197,
      2.7873151299497256,
      2.699460265666141,
      2.6169476574916355,
      2.5395580134444824,
      2.4670447004470786,
      2.399158987258351,
      2.3356402953099273,
      2.276192078200921,
      2.2204897797221466,
      2.168166803222511,
      2.118846166288794,
      2.0721719050724516,
      2.0278201292335325,
      1.9854963138058712,
      1.9449504188923585,
      1.9059741952478007,
      1.8684032402718618,
      1.832105256814584,
      1.7969695705491295,
      1.7628984216168953,
      1.7298115671474836,
      1.6976434822939845,
      1.6663393995836202,
      1.6358525161633297,
      1.6061420757385372,
      1.5771721013485431,
      1.5489101399970056,
      1.5213252104125647,
      1.494386735618114,
      1.468067012996836,
      1.4423410044244271,
      1.4171857806819546,
      1.3925805792693307,
      1.3685069826673215,
      1.3449482127458512,
      1.321888013648486,
      1.2993105847086939,
      1.2772006473022715,
      1.2555434785472288,
      1.2343249237254592,
      1.2135328157444927,
      1.1931563961784126,
      1.1731846486469844,
      1.153606512064443,
      1.1344122963907475,
      1.1155949379720838,
      1.0971471773388963,
      1.079061361689211,
      1.0613294014657213,
      1.0439428232901844,
      1.0268930181597593,
      1.0101714016746715,
      0.9937695146193685,
      0.9776790846088166,
      0.9618920626435467,
      0.9464006422164459,
      0.9311972677688767,
      0.9162746357032547,
      0.9016256918004539,
      0.8872436253113202,
      0.8731218614519953,
      0.85925405259451,
      0.8456340700609135,
      0.832255995267098,
      0.8191141103768339,
      0.8062028904493398,
      0.7935169951419798,
      0.7810512601591287,
      0.7688006901298353,
      0.756760451417167,
      0.7449258649557555,
      0.7332923996433247,
      0.7218556660697302,
      0.7106114109213119,
      0.6995555113817055,
      0.6886839693247867,
      0.67799290626475,
      0.6674785586760074,
      0.6571372734722652,
      0.6469655033551118,
      0.6369597998565321,
      0.6271167593786832,
      0.6174330528089711,
      0.6079054700402828,
      0.5985309068859502,
      0.5893063551733216,
      0.5802288947984192,
      0.5712956886931585,
      0.5625039779230602,
      0.5538510777209322,
      0.5453343740135124,
      0.5369513203062974,
      0.5286994349929665,
      0.5205762991556498,
      0.5125795539827892,
      0.5047069057780941,
      0.496956151532936,
      0.4893252399761393,
      0.4818124851277453,
      0.47441616773668827,
      0.4671344746302284,
      0.45996554633747255,
      0.45290750823349346,
      0.4459584904352936,
      0.4391166401679988,
      0.43238012970905504,
      0.42574705809703034,
      0.41921517104816397,
      0.4127823026667253,
      0.40644648456863514,
      0.4002059352766598,
      0.3940595168474945,
      0.3880063313074478,
      0.38204526118339593,
      0.37617505693188175,
      0.3703943925594846,
      0.36470190191477,
      0.3590962021488115,
      0.3535759947471754,
      0.34814020590565337,
      0.34278771228830496,
      0.3375173162915847,
      0.33232778066134866,
      0.32721779591356165,
      0.32218581831167953,
      0.31723032743210594,
      0.31234992506497816,
      0.3075433941389382,
      0.30280960978693217,
      0.29814744451979447,
      0.29355577691385504,
      0.2890335135294862,
      0.284579581197534,
      0.2801929132411632,
      0.2758724537328898,
      0.2716171601732793,
      0.2674260050647815,
      0.26329797696132295,
      0.25923208086014937,
      0.25522733838571166,
      0.2512830416379522,
      0.24739871196051771,
      0.24357373748453007,
      0.23980739941858958,
      0.23609891327760596,
      0.2324474560968158,
      0.22885218463329418,
      0.22531224714335288,
      0.2218267915046315,
      0.21839496999398444,
      0.21501594289168793,
      0.2116888804046732,
      0.20841296115142213,
      0.20518729936526142,
      0.20201099021465102,
      0.19888318302284122,
      0.1958030671886451,
      0.19276986287394615,
      0.1897828147244247,
      0.1868411876718371,
      0.18394426398905098,
      0.18109134124358833,
      0.17828173102916592,
      0.17551475780913484,
      0.17278975818024192,
      0.17010608035715963,
      0.16746308373724356,
      0.16486013842309585,
      0.16229662511583254,
      0.15977193473007473,
      0.15728546825794604,
      0.15483663635413128,
      0.15242485934105834,
      0.15004956691525212,
      0.14771019795556253,
      0.14540620044584832,
      0.1431370312065209,
      0.14090215587349858,
      0.13870104856524273,
      0.13653319183473556,
      0.1343980765253043,
      0.13229520154892033,
      0.13022407370712583,
      0.1281842076184161,
      0.12617512566896624,
      0.12419635779627683,
      0.12224744132769427,
      0.12032792108359883,
      0.11843734881015659,
      0.11657528332750831,
      0.11474129056015835,
      0.11293494308115617,
      0.11115582014793156,
      0.10940350770926822,
      0.1076775980327732,
      0.10597768986194517,
      0.10430338820646101,
      0.10265430414710298,
      0.10103005486361101,
      0.09943026351176015,
      0.09785455905672891,
      0.0963025761639415,
      0.09477395512218131,
      0.09326834198285577,
      0.09178538812094268,
      0.09032475033608624,
      0.08888609077480536,
      0.0874690767124899,
      0.08607338064263663,
      0.08469867997672889,
      0.08334465715926188,
      0.08201099951102866,
      0.08069739912750976,
      0.0794035529056338,
      0.07812916231401698,
      0.07687393338938447,
      0.07563757687018566,
      0.0744198076341495,
      0.07322034513119333,
      0.07203891289054708,
      0.07087523881581664,
      0.06972905501881889,
      0.06860009763666701,
      0.06748810681319332,
      0.06639282661847598,
      0.06531400511645745,
      0.06425139418643287,
      0.06320474931982967,
      0.06217382989854608,
      0.06115839901650834,
      0.060158223279940505,
      0.05917307283695067,
      0.0582027212485883,
      0.057246945690513244,
      0.05630552667842958,
      0.05537824793606211,
      0.054464896663579634,
      0.0535652631761481,
      0.05267914099948305,
      0.05180632672324904,
      0.05094662007894191,
      0.05009982379716141,
      0.04926574358772216,
      0.048444188118293124,
      0.04763496897855236,
      0.046837900601384125,
      0.046052800191991476,
      0.045279487743406135,
      0.04451778595122667,
      0.043767520243870844,
      0.04302851869595891,
      0.04230061187199038,
      0.04158363299143535,
      0.04087741771896937,
      0.040181804320396614,
      0.039496633338271456,
      0.038821747855809295,
      0.03815699332148477,
      0.03750221748773836,
      0.0368572704286285,
      0.03622200434365354,
      0.035596273741821075,
      0.0349799353929968,
      0.034372848138211225,
      0.033774872959391515,
      0.033185872981108755,
      0.03260571332108099,
      0.03203426122228896,
      0.03147138594202791,
      0.030916958559448444,
      0.030370852165466086,
      0.029832941857049565,
      0.029303104554676572,
      0.028781218953921342,
      0.028267165586054827,
      0.027760826821729673,
      0.02726208686933891,
      0.026770831551117417,
      0.02628694856320922,
      0.02581032718261323,
      0.025340858381513544,
      0.02487843473766856,
      0.024422950485106388,
      0.023974301437536885,
      0.023532384898696843,
      0.023097099839421358,
      0.02266834671855416,
      0.022246027462299436,
      0.021830045512920865,
      0.021420305686138136,
      0.021016714205419947,
      0.02061917891404658,
      0.020227608767542652,
      0.019841914209000604,
      0.01946200711085671,
      0.0190878005759254,
      0.01871920907425527,
      0.0183561483942488,
      0.01799853552266897,
      0.01764628859940786,
      0.01729932702916031,
      0.016957571566660095,
      0.016620944024865525,
      0.016289367490315104,
      0.01596276607902817,
      0.015641065243304553,
      0.015324191333250848,
      0.01501207192511541,
      0.014704635715573953,
      0.014401812356537378,
      0.014103532682165375,
      0.013809728431066162,
      0.013520332430309822,
      0.013235278624890306,
      0.012954501939410905,
      0.012677938086514002,
      0.01240552379193701,
      0.01213719677533191,
      0.011872895709584925,
      0.011612560202857244,
      0.011356130746339352,
      0.011103548677979884,
      0.01085475630380676,
      0.010609696751993908,
      0.010368314010527057,
      0.010130552911968856,
      0.009896359114077801,
      0.009665679166677375,
      0.009438460308120157,
      0.009214650506537109,
      0.008994198605550435,
      0.008777054244454876,
      0.008563167838640211,
      0.00835249053144538,
      0.008144974155065555,
      0.00794057124511362,
      0.00773923510891809,
      0.007540919680339775,
      0.007345579682665625,
      0.007153170457167592,
      0.006963648004209304,
      0.006776968963294741,
      0.006593090805340327,
      0.006411971424129845,
      0.00623356938467488,
      0.0060578439830574335,
      0.005884755093107989,
      0.005714263129789102,
      0.00554632913565257,
      0.005380914697789999,
      0.0052179819943866685,
      0.005057493868888988,
      0.004899413620354056,
      0.00474370512053137,
      0.0045903326910788494,
      0.004439261332252519,
      0.004290456560251202,
      0.004143884329155356,
      0.003999511151563051,
      0.003857304088270376,
      0.003717230631496835,
      0.0035792586917649796,
      0.0034433567075084145,
      0.0033094936990744847,
      0.003177639115544788,
      0.003047762797320397,
      0.002919834991213759,
      0.0027938264434752445,
      0.0026697085209921273,
      0.0025474527740757293,
      0.0024270312318962852,
      0.0023084163562197705,
      0.002191581124358443,
      0.00207649881468562,
      0.0019631430800224796,
      0.0018514880730526582,
      0.0017415081924221,
      0.0016331784019645648,
      0.0015264739541679432,
      0.001421370375876872,
      0.0013178436584284352,
      0.0012158702015804526,
      0.001115426727217857,
      0.0010164901689168394,
      0.0009190378994083254,
      0.000823047692586173,
      0.0007284975982466196,
      0.0006353661292732704,
      0.0005436319610056192,
      0.00045327401944074495,
      0.00036427175470166173,
      0.0002766048311560267,
      0.0001902532321877808,
      0.0001051972198365525,
      2.1417327190881514e-05,
      -6.110555898090427e-05,
      -0.0001423902985888135,
      -0.0002224556234511172,
      -0.0003013197460870868,
      -0.0003790006542215386,
      -0.00045551610482564685,
      -0.0005308836366377743,
      -0.0006051204355520141,
      -0.0006782434847303534,
      -0.0007502694339791961,
      -0.0008212147605605448,
      -0.0008910956368907913,
      -0.0009599280256939888,
      -0.001027727736255741,
      -0.0010945102257474471,
      -0.001160290748911353,
      -0.0012250843607937282,
      -0.0012889058676445089,
      -0.0013517698023320325,
      -0.00141369068508861,
      -0.001474682526896972,
      -0.0015347592472539245,
      -0.0015939346269289343,
      -0.0016522221712479393,
      -0.0017096351695447176,
      -0.001766186779120734,
      -0.0018218899241662814,
      -0.0018767574674486446,
      -0.0019308018345760725,
      -0.0019840353617627867,
      -0.0020364702170395815,
      -0.002088118352543596,
      -0.002138991602411231,
      -0.0021891016083280257,
      -0.002238459439189099,
      -0.0022870757107131077,
      -0.00233496106621432,
      -0.002382126129109219,
      -0.0024285815252227884,
      -0.0024743377977758077,
      -0.002519405398144891,
      -0.0025637946119940686,
      -0.0026075155425058683
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56658888444086,
      10.335656254856682,
      10.096321995803253,
      9.851740159316885,
      9.604459208359641,
      9.356712690410772,
      9.110446346192997,
      8.867288713658425,
      8.62852824631312,
      8.395110298951453,
      8.167671513662594,
      7.9465673356160025,
      7.731902597364145,
      7.523562987195018,
      7.321263696821602,
      7.124603054651953,
      6.93310378968871,
      6.746250147411601,
      6.563520875890092,
      6.384414044753136,
      6.208466310737425,
      6.03525565184424,
      5.864411875387242,
      5.695638510596685,
      5.528715922063393,
      5.363500893642064,
      5.199928557157432,
      5.038017344435545,
      4.877848054668316,
      4.719563422242431,
      4.563378200023958,
      4.409578578566028,
      4.25851898452422,
      4.110584572673906,
      3.9661741982773813,
      3.825682976372904,
      3.6894938593018693,
      3.557962436218941,
      3.4314005019481724,
      3.3100690467085094,
      3.1941736228847994,
      3.083862092585163,
      2.9792211162787865,
      2.8802654071274785,
      2.786934774367745,
      2.69910667273967,
      2.616619356346648,
      2.5392530816307577,
      2.466761057841589,
      2.3988944843955475,
      2.335392637322408,
      2.2759587773582473,
      2.2202681636099335,
      2.1679539340707765,
      2.118639450131916,
      2.071968980091178,
      2.0276188042822985,
      1.9852947778305556,
      1.944747276579245,
      1.9057684275089417,
      1.8681941269146276,
      1.8318922863120528,
      1.7967523681679642,
      1.7626767407992023,
      1.7295852664788451,
      1.6974124953879868,
      1.6661037130406806,
      1.635612153924595,
      1.6058970786259787,
      1.5769225140700567,
      1.5486560264772378,
      1.5210666764466014,
      1.494123897311934,
      1.4677999804260444,
      1.4420698829993142,
      1.4169106720569773,
      1.3923016051918895,
      1.3682242802516025,
      1.3446619096684196,
      1.321598223329571,
      1.2990174109890216,
      1.276904186506543,
      1.2552438218303932,
      1.2340221923526216,
      1.2132272573991159,
      1.1928482347353717,
      1.1728740571496061,
      1.153293628652879,
      1.1340974634387968,
      1.115278513347984,
      1.0968294207165687,
      1.078742471321578,
      1.0610095246864062,
      1.043622072800896,
      1.026571483994072,
      1.0098491581912814,
      0.9934466256870679,
      0.9773556068882362,
      0.9615680476816191,
      0.9460761380688953,
      0.93087231989876,
      0.9159492878687459,
      0.9012999865264172,
      0.8869176036910351,
      0.8727955636008411,
      0.8589275180951818,
      0.8453073378416709,
      0.8319291033191336,
      0.8187870965314992,
      0.8058757919274642,
      0.7931898481968273,
      0.7807241006771061,
      0.7684735535368891,
      0.7564333723484633,
      0.744598877323891,
      0.7329655369270155,
      0.7215289616964853,
      0.7102848976265236,
      0.6992292211187049,
      0.6883579333957066,
      0.677667155646674,
      0.6671531239585049,
      0.6568121843044533,
      0.6466407888507099,
      0.6366354877196442,
      0.6267928752726598,
      0.6171096228945125,
      0.6075825206847518,
      0.5982084642406384,
      0.5889844447190413,
      0.5799075418759883,
      0.570974918086669,
      0.5621838140470778,
      0.553531544597442,
      0.5450154951669542,
      0.5366331185753196,
      0.5283819328438062,
      0.5202595185574767,
      0.5122635164039084,
      0.5043916392469866,
      0.49664168909742284,
      0.48901168131562306,
      0.4814999354826637,
      0.47410470030423885,
      0.4668241411754773,
      0.4596563846233224,
      0.452599546854323,
      0.4456517516563087,
      0.43881114207740973,
      0.4320758873337544,
      0.42544412229481243,
      0.41891364396041303,
      0.41248225366930225,
      0.406147961517125,
      0.3999090221480041,
      0.393764357226208,
      0.38771301813922143,
      0.38175385474357776,
      0.37588559584058256,
      0.37010690105249777,
      0.36441639464270476,
      0.35881268764046254,
      0.35329450510369304,
      0.34786077191215603,
      0.34251035187224227,
      0.3372420392716228,
      0.33205459103369506,
      0.3269466936184187,
      0.32191680077765655,
      0.31696339086721764,
      0.31208507148709386,
      0.307280634312258,
      0.3025489481020765,
      0.2978888811160572,
      0.2932993102518421,
      0.2887791412767961,
      0.2843272991494162,
      0.27994271578430124,
      0.2756243343012677,
      0.27137111153367627,
      0.26718201938097585,
      0.26305604612141403,
      0.2589921964701318,
      0.25498949181086233,
      0.2510472436579292,
      0.24716497458407902,
      0.24334206515038756,
      0.23957779131823395,
      0.2358713651223027,
      0.23222196113241123,
      0.22862873447867096,
      0.22509083239267003,
      0.22160740196763765,
      0.21817759502142356,
      0.21480057140469097,
      0.21147550113796285,
      0.2082015602620631,
      0.20497785961750026,
      0.20180349628571284,
      0.19867762083373536,
      0.1955994234557819,
      0.19256812484093433,
      0.18958296999645244,
      0.18664322415259718,
      0.18374816975386535,
      0.1808971045271971,
      0.17808934003515198,
      0.17532420069635107,
      0.17260102316929632,
      0.16991915556913076,
      0.16727795728595013,
      0.1646767984938154,
      0.16211505984002325,
      0.15959213233284292,
      0.15710741678542126,
      0.1546603238639281,
      0.1522502739204257,
      0.14987669660973754,
      0.14753903088804785,
      0.14523672471889099,
      0.1429692349121499,
      0.14073602707098382,
      0.1385365752835161,
      0.13637036215087964,
      0.13423687843255755,
      0.13213562303405693,
      0.13006610274458003,
      0.1280278323041261,
      0.1260203341697142,
      0.1240431382800969,
      0.12209578192552832,
      0.12017780986958668,
      0.11828877391511215,
      0.1164282328741239,
      0.11459575265533219,
      0.11279090590290337,
      0.11101327196931525,
      0.10926243681385864,
      0.10753799278921122,
      0.10583953855039578,
      0.10416667913726611,
      0.10251902568982865,
      0.10089619538757505,
      0.09929781145348937,
      0.09772350278363552,
      0.09617290426407905,
      0.09464565628734567,
      0.09314140475842597,
      0.09165980121479408,
      0.09020050248266026,
      0.08876317064373021,
      0.08734747314112036,
      0.08595308238228454,
      0.08457967593198777,
      0.08322693622980254,
      0.08189455061780605,
      0.08058221128668715,
      0.07928961508312964,
      0.07801646364262335,
      0.07676246312546556,
      0.07552732410239117,
      0.07431076165366592,
      0.07311249517868194,
      0.07193224831001176,
      0.07076974901175585,
      0.0696247294007236,
      0.0684969256778535,
      0.06738607797953064,
      0.06629193048476782,
      0.06521423137489638,
      0.06415273250893605,
      0.06310718949740482,
      0.06207736187267063,
      0.06106301269777876,
      0.06006390864989804,
      0.059079819913247185,
      0.05811052015526599,
      0.05715578664584664,
      0.05621539991302378,
      0.055289143767114655,
      0.05437680536877954,
      0.053478175166472734,
      0.05259304667445023,
      0.05172121667918041,
      0.050862484910478595,
      0.05001665415356046,
      0.04918353016247047,
      0.04836292172784533,
      0.04755464045387699,
      0.0467585007845923,
      0.0459743200790304,
      0.045201918379401795,
      0.04444111847565308,
      0.043691745795977406,
      0.04295362843134818,
      0.042226597087501344,
      0.04151048504061681,
      0.04080512798193296,
      0.04011036420536068,
      0.039426034426520845,
      0.03875198176411532,
      0.038088051672725214,
      0.03743409204705216,
      0.036789952867961724,
      0.036155486549777134,
      0.03553054770225985,
      0.03491499309479209,
      0.03430868158454428,
      0.03371147429769567,
      0.03312323430367782,
      0.03254382685717821,
      0.0319731193111725,
      0.03141098083760688,
      0.030857282699146345,
      0.03031189807079992,
      0.029774702040890354,
      0.02924557161934206,
      0.028724385562453148,
      0.028211024535204417,
      0.027705370918546208,
      0.027207309011314337,
      0.026716724672961854,
      0.026233505615790884,
      0.025757541124451454,
      0.02528872228473549,
      0.02482694169123287,
      0.02437209358047178,
      0.023924073957884442,
      0.023482780241826137,
      0.02304811137112322,
      0.02261996786112716,
      0.022198251726187057,
      0.02178286638868001,
      0.02137371684157523,
      0.020970709505429813,
      0.0205737519702004,
      0.0201827533650248,
      0.019797624243993783,
      0.01941827640769951,
      0.019044623047377505,
      0.018676578735736558,
      0.018314059327798275,
      0.017956981783945506,
      0.017605264346987573,
      0.017258826641645863,
      0.016917589366005792,
      0.016581474349775548,
      0.016250404661413632,
      0.01592430466269899,
      0.015603099597854428,
      0.015286716019536266,
      0.014975081507017542,
      0.014668124834148885,
      0.01436577572185685,
      0.014067964975965595,
      0.013774624559517288,
      0.013485687364320376,
      0.013201087208477595,
      0.0129207590412917,
      0.012644638586245753,
      0.01237266277636399,
      0.012104769417307171,
      0.011840897147301134,
      0.011580985711849557,
      0.01132497555539699,
      0.011072808147558424,
      0.010824425838004187,
      0.010579771691407117,
      0.010338789766767413,
      0.010101424981373869,
      0.009867623015450161,
      0.0096373305382275,
      0.009410494718661904,
      0.009187063603533262,
      0.008966986199860623,
      0.008750212134745423,
      0.008536691813995528,
      0.00832637635494233,
      0.00811921769339611,
      0.007915168452435452,
      0.007714181928186154,
      0.007516212129280201,
      0.007321213774495586,
      0.007129142293074891,
      0.006939953637192982,
      0.006753604656109552,
      0.006570052793338933,
      0.006389255906839354,
      0.006211172688943528,
      0.006035762465983939,
      0.005862985032332084,
      0.005692800912501935,
      0.0055251711551875865,
      0.005360057447742276,
      0.0051974220993057894,
      0.005037227886605995,
      0.004879438104862845,
      0.004724016627519791,
      0.004570927955056862,
      0.004420137056693827,
      0.004271609461978062,
      0.004125311157113232,
      0.003981208686976424,
      0.0038392691254521155,
      0.0036994600035130673,
      0.003561749283403177,
      0.0034261055831242256,
      0.0032924977983158905,
      0.0031608953877136,
      0.0030312682402417732,
      0.0029035867605182015,
      0.002777821638074007,
      0.0026539441841575756,
      0.0025319260852379355,
      0.002411739438392407,
      0.0022933567370158965,
      0.0021767508711896524,
      0.002061895230973729,
      0.0019487634875763732,
      0.0018373297444156545,
      0.0017275685500399607,
      0.0016194547725423797,
      0.0015129636983122435,
      0.0014080709603090124,
      0.001304752665248366,
      0.001202985172390622,
      0.0011027450835194102,
      0.001004009430958264,
      0.0009067557272942519,
      0.0008109617818112234,
      0.0007166056450129736,
      0.000623665732540587,
      0.0005321207340028777,
      0.00044194979005421077,
      0.00035313232157649084,
      0.0002656478851010319,
      0.0001794765190017536,
      9.459856940748203e-05,
      1.0994613407286008e-05,
      -7.13545094059393e-05,
      -0.00015246765742348554,
      -0.00023236326405035225,
      -0.0003110596707680375,
      -0.0003885747919922089,
      -0.00046492642713338715,
      -0.000540132139757338,
      -0.0006142090910823426,
      -0.0006871742473730693,
      -0.000759044344672239,
      -0.0008298357000264538,
      -0.0008995645301761981,
      -0.0009682467351725834,
      -0.0010358980372889017,
      -0.001102533927956575,
      -0.0011681697098531471,
      -0.0012328203913120586,
      -0.0012965007135659077,
      -0.0013592252659779139,
      -0.0014210082759121688,
      -0.0014818640019504821,
      -0.001541806318901464,
      -0.0016008489887871498,
      -0.0016590053712697173,
      -0.001716288736908659,
      -0.001772712344722344,
      -0.0018282891189345509,
      -0.0018830317377968196,
      -0.001936952664455624,
      -0.001990064227513379,
      -0.00204237867592122,
      -0.002093907978954866,
      -0.0021446639113072777,
      -0.0021946579976576575,
      -0.002243901691392626,
      -0.0022924062477656863,
      -0.002340182399423557,
      -0.002387240493750858,
      -0.002433590762401955,
      -0.002479243571621308,
      -0.0025242092209602426,
      -0.002568497863003064,
      -0.002612119562409207
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566586612407168,
      10.335645993182803,
      10.096298398502237,
      9.851698373210171,
      9.604395504454919,
      9.356624545909636,
      9.110332222957725,
      8.86714782042869,
      8.62836070862072,
      8.394916764741714,
      8.167452752876299,
      7.946324104132933,
      7.731635419997105,
      7.523271987259402,
      7.3209488798584035,
      7.12426439380518,
      6.93274124453099,
      6.745863700757037,
      6.5631106868203934,
      6.383980383974779,
      6.208009608557021,
      6.034776601604417,
      5.863911344541946,
      5.6951175413217,
      5.5281758154471206,
      5.362943213014219,
      5.199355123237726,
      5.037430182917201,
      4.877249366766035,
      4.718955725076387,
      4.562764256145958,
      4.408961864660338,
      4.257903233039335,
      4.109973510214876,
      3.9655714605338033,
      3.825092103620141,
      3.688918284941229,
      3.557405255133317,
      3.430864423651524,
      3.309556360641428,
      3.193686179542735,
      3.083401298539581,
      2.9787878696056125,
      2.879860012382803,
      2.7865569458501174,
      2.6987555500574802,
      2.6162934627682994,
      2.5389504899344737,
      2.466479686134155,
      2.398632182567827,
      2.335147110799692,
      2.275727540710334,
      2.2200485480554266,
      2.167743007604752,
      2.118434589757864,
      2.0717678014304775,
      2.027419138244585,
      1.985094831857974,
      1.9445456700153587,
      1.9055641528481506,
      1.8679864727647808,
      1.8316807475178205,
      1.7965365745786932,
      1.7624564493210884,
      1.7293603389954733,
      1.6971828683792665,
      1.6658693751761078,
      1.63537313025644,
      1.6056534106312053,
      1.5766742474122295,
      1.5484032262298215,
      1.5208094496396456,
      1.4938623611135144,
      1.467534245440724,
      1.441800055087016,
      1.4166368533912863,
      1.3920239179019098,
      1.3679428612855977,
      1.3443768869524613,
      1.3213097110472585,
      1.2987255133911024,
      1.2766090003280008,
      1.2549454378710212,
      1.2337207734277749,
      1.2129230709713437,
      1.19254148328124,
      1.1725648990300876,
      1.152982192445891,
      1.1337840848746092,
      1.1149635452870457,
      1.0965131198071214,
      1.0784250344103432,
      1.0606910980431525,
      1.043302768604929,
      1.026251391531273,
      1.0095283515044928,
      0.9931251684523591,
      0.9770335558460927,
      0.9612454545764298,
      0.9457530509133858,
      0.9305487843784367,
      0.9156253478719153,
      0.9009756841556075,
      0.8865929802824623,
      0.8724706595659892,
      0.8586023730085752,
      0.8449819907240337,
      0.8316035926583207,
      0.8184614599906095,
      0.8055500664005598,
      0.7928640702128691,
      0.7803983060833323,
      0.7681477776580985,
      0.7561076502146036,
      0.7442732435086379,
      0.732640025124538,
      0.7212036049508621,
      0.7099597285783742,
      0.6989042718886086,
      0.6880332354341273,
      0.6773427398303312,
      0.6668290206026914,
      0.6564884233458892,
      0.6463173995145419,
      0.6363124975935363,
      0.6264703102848873,
      0.616787509241198,
      0.6072608846398881,
      0.5978873319102171,
      0.5886638418145566,
      0.5795874938122517,
      0.5706554499714569,
      0.5618649503341099,
      0.5532133089612621,
      0.5446979108534722,
      0.536316208593466,
      0.5280657195667848,
      0.5199440238256893,
      0.5119487616981322,
      0.504077656134023,
      0.4963285093260694,
      0.4886994073594454,
      0.4811886709501161,
      0.47379451726780786,
      0.46651509082824066,
      0.45934850434990293,
      0.452292864681437,
      0.4453462894200971,
      0.4385069175988614,
      0.4317729156602501,
      0.4251424541846548,
      0.4186133817165458,
      0.4121834668100617,
      0.4058506980473588,
      0.3996133658191293,
      0.3934704511481525,
      0.3874209551936055,
      0.3814636949663984,
      0.3755973776905838,
      0.3698206486299563,
      0.36413212269102535,
      0.3585304045515632,
      0.3530142430440151,
      0.34758256195945314,
      0.34223421228369394,
      0.33696797962285013,
      0.33178261533123465,
      0.3266768018617575,
      0.3216489905164695,
      0.3166976583143908,
      0.31182141865060065,
      0.30701907188044236,
      0.3022894805136709,
      0.2976315087333585,
      0.2930440314888272,
      0.2885259537896057,
      0.28407619859105293,
      0.27969369653467113,
      0.27537738979610266,
      0.2711262344601854,
      0.2669392020979778,
      0.26281528057997294,
      0.2587534742705747,
      0.2547528043585998,
      0.2508126016785122,
      0.2469323899248994,
      0.24311154198063986,
      0.23934932870485787,
      0.2356449585928221,
      0.2319976040195068,
      0.22840641841555,
      0.2248705479531035,
      0.22138913898249102,
      0.2179613427764586,
      0.21458631889897622,
      0.21126323717426732,
      0.20799127106840357,
      0.20476952791758832,
      0.20159710679542073,
      0.1984731595409772,
      0.1953968771976797,
      0.19236748097228953,
      0.1893842162373171,
      0.18644634839794796,
      0.1835531599723649,
      0.18070394879928509,
      0.17789802648888464,
      0.17513471748076803,
      0.1724133584080175,
      0.1697332975359004,
      0.1670938942236246,
      0.16449451850907862,
      0.1619345510958179,
      0.1594133829350483,
      0.15693041482138315,
      0.1544850574085893,
      0.15207673096538912,
      0.14970486523323573,
      0.14736889913847376,
      0.14506828061214927,
      0.14280246657508494,
      0.14057092250882317,
      0.1383731225222771,
      0.136208549220016,
      0.13407669341750234,
      0.1319770539882168,
      0.12990913792574107,
      0.12787245988927282,
      0.12586654225578772,
      0.12389091489636231,
      0.12194511521749052,
      0.12002868793297866,
      0.11814118490942144,
      0.11628216507249688,
      0.1144511943096151,
      0.11264784524919401,
      0.1108716972199073,
      0.10912233614248547,
      0.10739935446858558,
      0.10570235096915936,
      0.10403093061353876,
      0.10238470461517336,
      0.10076329024992667,
      0.09916631061233354,
      0.09759339485529839,
      0.09604417773791302,
      0.09451829972028208,
      0.09301540671490999,
      0.0915351502451476,
      0.09007718727900607,
      0.08864117994832553,
      0.0872267957948154,
      0.08583370727135341,
      0.08446159185860828,
      0.08311013206849235,
      0.08177901530643815,
      0.0804679338590872,
      0.07917658470201068,
      0.07790466941329993,
      0.07665189415093325,
      0.07541796955451635,
      0.07420261074556402,
      0.07300553724551068,
      0.07182647279158327,
      0.07066514535261981,
      0.06952128714108805,
      0.06839463434778723,
      0.06728492726322208,
      0.06619191003527783,
      0.06511533079447088,
      0.06405494151635154,
      0.06301049801025548,
      0.06198175971147535,
      0.060968489703363556,
      0.059970454800654105,
      0.058987425344443734,
      0.05801917505469804,
      0.057065481178385113,
      0.056126124278635885,
      0.055200888188887076,
      0.05428956019231364,
      0.053391930772229326,
      0.052507793501287425,
      0.05163694514634478,
      0.050779185571883795,
      0.0499343177156517,
      0.049102147442024915,
      0.04828248354358862,
      0.04747513766130071,
      0.0466799243775418,
      0.045896660983283384,
      0.04512516752577267,
      0.04436526697182384,
      0.04361678483172064,
      0.04287954912362612,
      0.042153390754836456,
      0.04143814309942849,
      0.040733641948402975,
      0.040039725532212606,
      0.03935623476586509,
      0.03868301269630363,
      0.03801990489021506,
      0.037366759115468745,
      0.036723425578213106,
      0.03608975680023885,
      0.03546560750553413,
      0.034850834406754766,
      0.03424529647359761,
      0.03364885490425223,
      0.03306137288299359,
      0.03248271564085845,
      0.031912750594798235,
      0.03135134694426196,
      0.0307983760959803,
      0.03025371127607466,
      0.02971722755033411,
      0.029188801940354735,
      0.028668313401276683,
      0.0281556426159395,
      0.02765067210735809,
      0.027153286129462648,
      0.02666337067270782,
      0.026180813520818115,
      0.025705504079039886,
      0.025237333342568172,
      0.02477619398542236,
      0.024321980430373626,
      0.023874588620253732,
      0.023433915999196746,
      0.02299986157543434,
      0.022572326022304516,
      0.022151211384916797,
      0.021736421194371462,
      0.0213278604020672,
      0.020925435409790596,
      0.020529054043514613,
      0.020138625491507578,
      0.019754060298619983,
      0.019375270384752123,
      0.019002168947994096,
      0.018634670557299993,
      0.01827269102121646,
      0.017916147465268557,
      0.017564958217243055,
      0.01721904285594029,
      0.01687832221421361,
      0.016542718221463245,
      0.016212154011025666,
      0.01588655390533634,
      0.015565843316454723,
      0.015249948822601358,
      0.014938798128542149,
      0.014632319883847332,
      0.014330443835655397,
      0.01403310096067249,
      0.013740223206990906,
      0.013451743431065605,
      0.013167595573010695,
      0.012887714646047073,
      0.012612036392433223,
      0.012340497858489553,
      0.012073036924943024,
      0.011809592279733544,
      0.011550103654540692,
      0.011294511550253001,
      0.011042757487128019,
      0.010794783792800187,
      0.010550533728491815,
      0.010309951380595735,
      0.010072981695341071,
      0.009839570370894588,
      0.009609663968583605,
      0.009383209830543337,
      0.009160156096029956,
      0.00894045172661372,
      0.008724046471453433,
      0.00851089082924375,
      0.008300936019197932,
      0.00809413386617178,
      0.007890437012379167,
      0.0076897988267891435,
      0.007492173413201835,
      0.007297515474576349,
      0.007105780548815481,
      0.006916924726011126,
      0.0067309047435743005,
      0.006547677962439539,
      0.006367202486244531,
      0.0061894369841082614,
      0.006014340712761773,
      0.005841873693996288,
      0.0056719964304654475,
      0.005504669954220598,
      0.005339856030123204,
      0.005177516910059487,
      0.00501761547128702,
      0.004860115070648632,
      0.004704979655326957,
      0.004552173633865126,
      0.004401662111925021,
      0.004253410621610729,
      0.004107385221615402,
      0.003963552516793839,
      0.003821879526975317,
      0.0036823337926974423,
      0.003544883457898314,
      0.0034094970304872816,
      0.0032761434811187334,
      0.003144792426871449,
      0.0030154136811884136,
      0.00288797761923505,
      0.0027624550164118116,
      0.0026388171881466227,
      0.0025170358329973464,
      0.0023970831059798962,
      0.0022789315092934183,
      0.0021625540514736423,
      0.0020479240397144696,
      0.001935015261273895,
      0.0018238018934746696,
      0.0017142585166798588,
      0.001606359976330544,
      0.0015000815768052593,
      0.0013953989845161266,
      0.0012922882151792847,
      0.0011907257176817392,
      0.0010906881861824974,
      0.0009921527485000539,
      0.0008950968890813133,
      0.000799498328725883,
      0.0007053353380711738,
      0.0006125863594791664,
      0.0005212301005173951,
      0.00043124563516056,
      0.00034261233387644527,
      0.0002553099229243927,
      0.00016931829647692684,
      8.461781307146216e-05,
      1.1891485162090744e-06,
      -8.098678645941327e-05,
      -0.0001619287810155227,
      -0.000241655283501192,
      -0.0003201846712222745,
      -0.0003975348899750206,
      -0.0004737236006206913,
      -0.0005487682805299321,
      -0.0006226861710910047,
      -0.0006954942056717751,
      -0.0007672089105068582,
      -0.0008378467814956421,
      -0.0009074240689084745,
      -0.0009759565293856928,
      -0.0010434599970033298,
      -0.0011099499171726276,
      -0.0011754414456535526,
      -0.001239949616078227,
      -0.0013034891763172827,
      -0.0013660745956127211,
      -0.001427720223026039,
      -0.001488440216641096,
      -0.0015482484972552568,
      -0.0016071587840987786,
      -0.0016651844259942842,
      -0.0017223387781433355,
      -0.0017786349619562845,
      -0.0018340858848289777,
      -0.0018887042144600731,
      -0.001942502352202621,
      -0.001995492634443366,
      -0.0020476872474437585,
      -0.002099098154351153,
      -0.002149737002206615,
      -0.0021996154793028355,
      -0.002248745036850416,
      -0.0022971368828237273,
      -0.002344802057813462,
      -0.002391751548661473,
      -0.0024379956572608305,
      -0.0024835444920676734,
      -0.0025284080208204957,
      -0.0025725961923955053,
      -0.002616118893236502
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566584350952903,
      10.335635784684959,
      10.096274915756203,
      9.85165677051831,
      9.604332062493016,
      9.356536749607827,
      9.110218539925736,
      8.86700746335157,
      8.628193802874565,
      8.394723958510271,
      8.167234817520693,
      7.946081797881981,
      7.731369268714805,
      7.5229821132400225,
      7.320635290127499,
      7.123927060723737,
      6.932380125417883,
      6.745478784397577,
      6.562702139508054,
      6.383548477583193,
      6.207554773540813,
      6.034299532146309,
      5.863412908303285,
      5.69459878002063,
      5.5276380276201005,
      5.362387959558875,
      5.198784223294953,
      5.0368456583335695,
      4.876653413755658,
      4.718350854730754,
      4.56215322316204,
      4.4083481284821175,
      4.257290514784796,
      4.109365525276072,
      3.9649718326638586,
      3.8245043606731364,
      3.6883458469966763,
      3.556851203089416,
      3.430331453353357,
      3.309046750182417,
      3.1932017687289314,
      3.082943483549739,
      2.978357539762535,
      2.879457464961863,
      2.7861818911183738,
      2.6984071282652473,
      2.615970195494253,
      2.53865045009187,
      2.466200792762559,
      2.3983722873848343,
      2.3349039222137633,
      2.275498578366181,
      2.219831149147863,
      2.167534246187023,
      2.11823183564587,
      2.0715686671633784,
      2.027221465703648,
      1.9848968374574796,
      1.944345981289682,
      1.9053617684485973,
      1.8677806860824608,
      1.8314710574986124,
      1.796322614524543,
      1.7622379785209268,
      1.7291372212444518,
      1.6969550414857044,
      1.6656368290544457,
      1.6351358915194225,
      1.6054115214545137,
      1.5764277542051834,
      1.548152194496435,
      1.5205539860616064,
      1.493602582997475,
      1.467270263858686,
      1.4415319764356689,
      1.4163647800892996,
      1.3917479723831458,
      1.3676631811123252,
      1.3440936002577488,
      1.3210229326754135,
      1.2984353474826509,
      1.2763155441063245,
      1.2546487826089314,
      1.2334210824459493,
      1.2126206122158434,
      1.1922364589249768,
      1.1722574677134672,
      1.15267248284342,
      1.133472432372918,
      1.1146503030280241,
      1.0961985443766178,
      1.0781093217374897,
      1.0603743941468593,
      1.042985185771442,
      1.0259330194576264,
      1.0092092645401871,
      0.9928054302189454,
      0.9767132228690832,
      0.9609245784760058,
      0.9454316800728503,
      0.9302269644313672,
      0.9153031227379637,
      0.9006530966606977,
      0.8862700720073073,
      0.8721474712967551,
      0.8582789442636852,
      0.8446583603405049,
      0.8312797989117383,
      0.8181375407081464,
      0.8052260589643914,
      0.7925400110470074,
      0.7800742313026732,
      0.7678237227684269,
      0.7557836498555548,
      0.7439493317220909,
      0.7323162357677985,
      0.720879971263583,
      0.7096362831996741,
      0.6985810467384592,
      0.6877102621466422,
      0.6770200491878897,
      0.6665066426483549,
      0.6561663878948232,
      0.6459957359973186,
      0.6359912339007702,
      0.6261494724397721,
      0.616467123631102,
      0.6069409774444465,
      0.5975679290063336,
      0.5883449689046536,
      0.5792691762409664,
      0.5703377127140767,
      0.5615478177754556,
      0.5528968051507791,
      0.5443820593217837,
      0.5360010323153205,
      0.5277512410951062,
      0.5196302650385144,
      0.5116357457510974,
      0.503765415470237,
      0.4960170872424827,
      0.48838891150249025,
      0.48087919776040045,
      0.47348613386079835,
      0.46620784517546493,
      0.4590424317276073,
      0.45198799185836336,
      0.4450426375914167,
      0.4382045039477884,
      0.43147175485110045,
      0.4248425863423861,
      0.418314904190875,
      0.41188645456274325,
      0.40555520283273194,
      0.39931948819482327,
      0.39317833024087573,
      0.3871306811711094,
      0.3811753263034598,
      0.37531095179501045,
      0.3695361890318517,
      0.36384964360935446,
      0.35824991397334643,
      0.3527357728230315,
      0.3473061425567743,
      0.3419598615168459,
      0.3366957067008097,
      0.33151242409194187,
      0.32640869265143146,
      0.32138296125165555,
      0.3164337053411913,
      0.31155954409291814,
      0.30675928647430317,
      0.3020317887410085,
      0.29737591088047804,
      0.2927905257606546,
      0.28827453789381535,
      0.2838268682379524,
      0.2794464460274951,
      0.27513221244799974,
      0.27088312303099216,
      0.26669814897250466,
      0.26257627757382773,
      0.2585165130173458,
      0.2545178766307583,
      0.25057971839528426,
      0.24670156282631847,
      0.24288277514524662,
      0.23912262097227424,
      0.2354203054692294,
      0.23177499865295625,
      0.22818585243365447,
      0.22465201188641012,
      0.22117262266993334,
      0.21774683551214638,
      0.21437380962662658,
      0.21105271446270873,
      0.20778272112661578,
      0.20456293365199207,
      0.20139245292509098,
      0.19827043209388465,
      0.19519606294784614,
      0.19216856728571216,
      0.18918719081780055,
      0.1862511991347744,
      0.18335987485153096,
      0.1805125159033322,
      0.17770843399596076,
      0.17494695362566143,
      0.17222741138496556,
      0.16954915554711264,
      0.16691154536779443,
      0.16431395099354082,
      0.16175575302826958,
      0.15923634245814997,
      0.1567551201004474,
      0.15431149656146975,
      0.1519048921442419,
      0.14953473648981205,
      0.1472004686064716,
      0.14490153634572348,
      0.1426373965648545,
      0.14040751477987184,
      0.13821136516174987,
      0.13604843027106878,
      0.1339182008742862,
      0.13182017593044096,
      0.1297538623667481,
      0.12771877480811208,
      0.12571443567317153,
      0.12374037502055894,
      0.12179613021530562,
      0.11988124598630012,
      0.11799527411281746,
      0.11613777360345058,
      0.11430831030652057,
      0.11250645696834768,
      0.11073179294487377,
      0.10898390422692049,
      0.10726238329021465,
      0.10556682876238786,
      0.10389684575947782,
      0.10225204549307104,
      0.10063204526031405,
      0.09903646828241963,
      0.09746494354409069,
      0.09591710592578202,
      0.09439259596778765,
      0.09289105981313761,
      0.09141214888913556,
      0.08995552014807785,
      0.08852083583705393,
      0.08710776331802941,
      0.08571597515997234,
      0.08434514900750438,
      0.08299496741011106,
      0.08166511787210919,
      0.08035529263703331,
      0.07906518873370719,
      0.07779450779109968,
      0.07654295600951373,
      0.0753102442280081,
      0.0740960875561543,
      0.07290020546048398,
      0.07172232169469,
      0.07056216430582307,
      0.06941946554786496,
      0.06829396174387194,
      0.06718539319773392,
      0.06609350422252885,
      0.06501804288081893,
      0.0639587612673209,
      0.06291541530033211,
      0.06188776444766371,
      0.06087557190156252,
      0.059878604449100856,
      0.058896632454832024,
      0.05792942973223591,
      0.05697677362563581,
      0.056038444688136076,
      0.055114226960155055,
      0.054203907662998936,
      0.053307277333942506,
      0.052424129699671376,
      0.05155426151756055,
      0.05069747279405263,
      0.04985356638523804,
      0.04902234821933326,
      0.04820362718671546,
      0.04739721507010848,
      0.0466029264504524,
      0.045820578722265096,
      0.04504999212896502,
      0.04429098952271391,
      0.04354339648114696,
      0.04280704119555506,
      0.042081754537841125,
      0.04136736987051748,
      0.04066372310445108,
      0.03997065261383735,
      0.039287999170304934,
      0.03861560614366444,
      0.03795331907634431,
      0.03730098580699223,
      0.03665845666969327,
      0.036025584079138064,
      0.035402222855780374,
      0.034788229805841446,
      0.03418346404712437,
      0.033587786809686465,
      0.03300106124394989,
      0.03242315277758132,
      0.03185392884766087,
      0.031293258809593646,
      0.03074101405042211,
      0.03019706771550025,
      0.029661295014653474,
      0.02913357307187969,
      0.028613780890538468,
      0.02810179929389771,
      0.027597510714041963,
      0.02710079950204887,
      0.02661155173652928,
      0.02612965514079528,
      0.025654999197406533,
      0.025187475040277064,
      0.024726975480512333,
      0.02427339497528426,
      0.02382662950089215,
      0.023386576616816885,
      0.022953135395388506,
      0.022526206478529976,
      0.022105691975143022,
      0.02169149554389371,
      0.02128352209883258,
      0.020881678144606584,
      0.020485871540887875,
      0.02009601156147825,
      0.019712008856942843,
      0.01933377535287315,
      0.018961224343830428,
      0.018594270414436176,
      0.01823282948017367,
      0.01787681864230856,
      0.017526156340427174,
      0.01718076217901894,
      0.016840556974970975,
      0.016505462759094123,
      0.016175402769435594,
      0.015850301334987663,
      0.015530083903581883,
      0.015214677073859739,
      0.014904008593979723,
      0.01459800728196521,
      0.01429660298191003,
      0.01399972663885324,
      0.013707310244396214,
      0.013419286703448205,
      0.013135590092914288,
      0.01285615542853043,
      0.012580918709141683,
      0.012309816748246492,
      0.012042787416276755,
      0.011779769492145422,
      0.01152070265203862,
      0.011265527589279708,
      0.011014185947062853,
      0.010766620057572215,
      0.010522773205889987,
      0.010282589572692716,
      0.010046014040675068,
      0.00981299241749677,
      0.009583471305649703,
      0.009357398204813558,
      0.009134721261281304,
      0.00891538938267564,
      0.00869935232360579,
      0.008486560660432161,
      0.008276965578113967,
      0.00807051902225599,
      0.007867173784049268,
      0.007666883213342799,
      0.007469601385408649,
      0.007275283136966275,
      0.007083883939964521,
      0.006895359904798984,
      0.006709667900850549,
      0.006526765336145892,
      0.006346610244803551,
      0.0061691614086271,
      0.0059943782397804965,
      0.005822220723338031,
      0.0056526493234544525,
      0.005485625190664831,
      0.005321110176213668,
      0.00515906648412946,
      0.004999456955586182,
      0.004842245101083809,
      0.004687394874574678,
      0.004534870799123201,
      0.004384637897706771,
      0.004236661823034254,
      0.004090908652852881,
      0.003947344941072769,
      0.0038059378348235715,
      0.0036666548942714244,
      0.0035294642583330905,
      0.003394334436568796,
      0.0032612344783518746,
      0.0031301339213136857,
      0.0030010027607814817,
      0.0028738113956823007,
      0.0027485305950660194,
      0.0026251317076048655,
      0.0025035865366621244,
      0.0023838671848189744,
      0.0022659462562497896,
      0.0021497966918267624,
      0.0020353918156303156,
      0.0019227054973851702,
      0.0018117119098119401,
      0.001702385637372187,
      0.0015947016209073087,
      0.001488635211946054,
      0.0013841621649432908,
      0.0012812586057787448,
      0.0011799008172175991,
      0.001080065552831778,
      0.0009817299711804626,
      0.0008848715971006982,
      0.0007894681825062798,
      0.0006954979117642898,
      0.0006029392014391313,
      0.0005117708446303947,
      0.00042197202950071297,
      0.00033352209198419196,
      0.00024640081034700643,
      0.00016058824284449373,
      7.606478306350757e-05,
      -7.1890506560478125e-06,
      -8.919223991575075e-05,
      -0.0001699635636234651,
      -0.0002495215825816802,
      -0.00032788449600326024,
      -0.0004050702385528632,
      -0.00048109652516706606,
      -0.0005559807297585713,
      -0.0006297400681300393,
      -0.0007023914172221199,
      -0.0007739514260762221,
      -0.0008444364219989022,
      -0.0009138626085765633,
      -0.0009822458426394763,
      -0.0010496017985140863,
      -0.0011159459723635136,
      -0.001181293532831208,
      -0.0012456594636601319,
      -0.0013090584695663794,
      -0.001371505148526929,
      -0.0014330137820477578,
      -0.0014935984674293774,
      -0.001553273052353859,
      -0.0016120511509254555,
      -0.0016699462608650024,
      -0.0017269717274307548,
      -0.0017831406431896633,
      -0.0018384658166205512,
      -0.0018929598478683337,
      -0.0019466353563244985,
      -0.00199950461678457,
      -0.002051579582138953,
      -0.002102872273793251,
      -0.0021533944979888805,
      -0.0022031578605485914,
      -0.0022521737486778694,
      -0.0023004533184075486,
      -0.002348007723038348,
      -0.002394847794219115,
      -0.002440984224382605,
      -0.0024864275769524904,
      -0.0025311879971907612,
      -0.002575275067371763,
      -0.002618698467860163
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566582102010846,
      10.335625634750272,
      10.09625153767666,
      9.851615313947,
      9.6042688217731,
      9.356449219688187,
      9.110105197775274,
      8.86686752993818,
      8.628027410932951,
      8.394531760956495,
      8.167017587887933,
      7.945840295419232,
      7.731104019849459,
      7.522693241350973,
      7.32032280212195,
      7.123590928315847,
      6.932020307059472,
      6.745095271153014,
      6.562295099333227,
      6.383118181436804,
      6.207101652026156,
      6.033824281364593,
      5.8629163984572115,
      5.694082054258241,
      5.527102386343856,
      5.361834963785721,
      5.198215690479344,
      5.03626360803748,
      4.876060039820669,
      4.717748662405775,
      4.561544960282384,
      4.407737216972059,
      4.256680668047769,
      4.108760449581166,
      3.964375141098647,
      3.8239195699308683,
      3.6877763660901968,
      3.556300101656589,
      3.4298014165392456,
      3.308540044772813,
      3.192720224597112,
      3.082488487740086,
      2.97792997337065,
      2.879057618527468,
      2.785809470009167,
      2.69806126891058,
      2.6156494179710412,
      2.5383528270509412,
      2.465924244286269,
      2.3981146665928086,
      2.334662940706244,
      2.2752717611594355,
      2.2196158394535437,
      2.1673275246130226,
      2.118031078790948,
      2.0713714925927986,
      2.027025721476074,
      1.9847007452110756,
      1.9441481715433484,
      1.9051612425864248,
      1.8675767403149865,
      1.8312631931275976,
      1.7961104664252123,
      1.7620213075238564,
      1.7289158919065448,
      1.6967289920968578,
      1.6654060504848458,
      1.6349004105319735,
      1.6051713814439679,
      1.576183003200323,
      1.5479028986919228,
      1.5203002534206775,
      1.493344531320298,
      1.467008004833037,
      1.44126561693697,
      1.4160944230767716,
      1.391473740074442,
      1.3673852109062539,
      1.343812020324719,
      1.3207378570759516,
      1.2981468806297944,
      1.276023782869199,
      1.2543538184956207,
      1.2331230787841359,
      1.2123198370322403,
      1.1919331151025783,
      1.1719517145173357,
      1.1523645591445608,
      1.1331627253080425,
      1.114339107078464,
      1.0958860771520573,
      1.0777957541179808,
      1.0600598554424483,
      1.0426697776311837,
      1.0256168241930912,
      1.0088923514337513,
      0.9924878600792103,
      0.9763950504317465,
      0.96060585438331,
      0.94511245192549,
      0.9299072775752396,
      0.9149830211939299,
      0.9003326229265939,
      0.885949267360156,
      0.8718263761880319,
      0.8579575989614272,
      0.8443368041395747,
      0.8309580701512083,
      0.8178156773384766,
      0.8049040982428761,
      0.7922179899378126,
      0.7797521860808493,
      0.7675016889976798,
      0.7554616626882065,
      0.7436274258362399,
      0.7319944449912698,
      0.7205583287487555,
      0.7093148217176664,
      0.6982597986608784,
      0.6873892592419653,
      0.6766993227157543,
      0.6661862232172006,
      0.6558463052604652,
      0.6456760194640958,
      0.6356719114437311,
      0.6258305701980543,
      0.6161486678584436,
      0.6066229945709468,
      0.5972504452126237,
      0.5880280102492088,
      0.578952768221992,
      0.5700218805120636,
      0.5612325860309801,
      0.5525821979140336,
      0.5440680999695812,
      0.5356877438178673,
      0.5274386459710466,
      0.5193183854055382,
      0.5113246086095582,
      0.5034550547490579,
      0.4957075711563755,
      0.4880803586007243,
      0.48057168941920525,
      0.47317972750353565,
      0.4659025823845679,
      0.4587383435766267,
      0.45168510237229825,
      0.4447409662119118,
      0.4379040668334135,
      0.43117256598462417,
      0.4245446580154981,
      0.4180183210572896,
      0.4115913061487287,
      0.40526155038413775,
      0.3990274699366298,
      0.3928880774330263,
      0.3868422793575467,
      0.3808888307694647,
      0.3750263978505782,
      0.3692535987094579,
      0.36356903012252906,
      0.3579712848681061,
      0.3524591593236678,
      0.34703157519423056,
      0.34168735812674256,
      0.3364252767254668,
      0.33124407132199,
      0.32614241726977156,
      0.321118761225243,
      0.31617157725439143,
      0.31129949226556514,
      0.30650132095445454,
      0.30177591365620643,
      0.2971221263159488,
      0.2925388300377264,
      0.2880249286961056,
      0.2835793410980421,
      0.27920099523412306,
      0.27488883141193116,
      0.2706418043655923,
      0.26645888477279245,
      0.26233905966623977,
      0.2582813329522962,
      0.2542847358701939,
      0.2503486322394951,
      0.24647253772597652,
      0.24265581163348093,
      0.23889771588310532,
      0.2351974528808521,
      0.23155419073018293,
      0.22796708017271128,
      0.22443526542134176,
      0.22095789143427955,
      0.21753410862576095,
      0.2141630759365217,
      0.2108439627089476,
      0.20757593746129668,
      0.20435810095101312,
      0.2011895559918686,
      0.19806945693931619,
      0.19499699643083573,
      0.1919713967813138,
      0.18899190403892097,
      0.1860577840308848,
      0.18316831950708437,
      0.180322808512371,
      0.17752056264543684,
      0.17476090647193496,
      0.1720431766007993,
      0.1693667213189278,
      0.1667308998668457,
      0.16413508235903496,
      0.16157864944531414,
      0.15906099198696877,
      0.15658151087343697,
      0.15413961677646582,
      0.1517347299749493,
      0.14936628004636793,
      0.147033705907831,
      0.1447364554886909,
      0.14247398562538635,
      0.14024576189236398,
      0.1380512584579062,
      0.1358899578819986,
      0.13376135091317998,
      0.13166493651290448,
      0.12960022144632338,
      0.1275667204751197,
      0.12556395605925938,
      0.12359145826051703,
      0.12164876451654733,
      0.11973541953310686,
      0.11785097517360317,
      0.11599499032633456,
      0.11416703090869117,
      0.11236666957546719,
      0.11059348585615472,
      0.10884706567160106,
      0.10712700141250737,
      0.10543289208323485,
      0.10376434267874346,
      0.10212096449729198,
      0.1005023748250451,
      0.09890819688912254,
      0.09733805983038579,
      0.0957915984478697,
      0.09426845328080867,
      0.09276827040459448,
      0.09129070144296278,
      0.08983540335133457,
      0.0884020383772181,
      0.08699027409018162,
      0.08559978306105001,
      0.08423024291495038,
      0.08288133624942709,
      0.0815527506462648,
      0.08024417841793441,
      0.07895531656783214,
      0.0776858667099573,
      0.07643553515782665,
      0.07520403285181725,
      0.07399107490577446,
      0.07279638081412027,
      0.07161967452198086,
      0.07046068416171412,
      0.06931914189678322,
      0.06819478411742493,
      0.06708735122218672,
      0.06599658757334062,
      0.0649222414062224,
      0.06386406472076184,
      0.06282181343861482,
      0.0617952471862076,
      0.060784129241087385,
      0.05978822639973506,
      0.0588073090012646,
      0.05784115098968657,
      0.056889529687490545,
      0.055952225922364734,
      0.055029023699025584,
      0.05411971027444001,
      0.05322407628618968,
      0.05234191548046683,
      0.051473024731195464,
      0.05061720404268893,
      0.04977425637932216,
      0.04894398770998281,
      0.04812620691427758,
      0.04732072586209681,
      0.04652735923080961,
      0.04574592450185192,
      0.04497624185002409,
      0.04421813434213813,
      0.043471427602579056,
      0.0427359500359524,
      0.04201153243664601,
      0.04129800823736761,
      0.04059521342742591,
      0.03990298637569679,
      0.039221167974474475,
      0.03854960162441157,
      0.03788813290451525,
      0.037236609800973944,
      0.036594882588598866,
      0.035962803867740624,
      0.0353402283998094,
      0.0347270131869746,
      0.03412301730236234,
      0.03352810200515374,
      0.03294213070822542,
      0.03236496881723874,
      0.031796483806506126,
      0.03123654499426882,
      0.030685023815066298,
      0.030141793705473433,
      0.029606729870744607,
      0.029079709420581,
      0.028560611410756064,
      0.028049316707673022,
      0.02754570791067164,
      0.02704966936400351,
      0.026561087188117338,
      0.02607984923511571,
      0.025605845025528838,
      0.025138965825123382,
      0.02467910445499262,
      0.024226155349550794,
      0.02378001452498242,
      0.02334057965587784,
      0.02290774994201403,
      0.022481426019105247,
      0.022061510002682663,
      0.021647905557931592,
      0.02124051777717469,
      0.020839253191409057,
      0.020444019700320847,
      0.020054726618587603,
      0.01967128470880422,
      0.01929360591472861,
      0.018921603563477662,
      0.01855519229299993,
      0.018194288054996583,
      0.01783880816728155,
      0.017488671008843513,
      0.017143796272713323,
      0.016804104860982334,
      0.01646951881678031,
      0.01613996127293561,
      0.015815356812627628,
      0.015495630995336003,
      0.015180710402408166,
      0.014870522794596094,
      0.014564996994028103,
      0.01426406297437563,
      0.01396765173872384,
      0.013675695265514706,
      0.013388126559903225,
      0.01310487972818343,
      0.012825889776549311,
      0.012551092668093492,
      0.012280425453316708,
      0.012013826118521094,
      0.01175123348269479,
      0.01149258729473447,
      0.011237828232349702,
      0.010986897866775005,
      0.010739738611546866,
      0.010496293751070255,
      0.010256507485413109,
      0.010020324832087297,
      0.009787691652335492,
      0.009558554661267144,
      0.009332861148742622,
      0.009110559548889289,
      0.008891598804997099,
      0.008675928735444148,
      0.008463499804998283,
      0.008254263229439904,
      0.008048171184922332,
      0.007845176327585407,
      0.007645232097767809,
      0.007448292645254571,
      0.007254312815053284,
      0.007063248192561558,
      0.006875054948404173,
      0.006689689901887359,
      0.0065071105041936105,
      0.006327274964099868,
      0.006150141950125523,
      0.005975670892922466,
      0.0058038218451329955,
      0.005634555368919918,
      0.005467832610569517,
      0.00530361544032616,
      0.005141866137306567,
      0.0049825476297695095,
      0.004825623355701962,
      0.0046710572912025405,
      0.004518814063526749,
      0.004368858723084683,
      0.004221156949979222,
      0.0040756747982788385,
      0.003932378899878203,
      0.0037912365055001638,
      0.003652215254145994,
      0.003515283179680226,
      0.003380408967064738,
      0.003247561664105624,
      0.0031167108016801823,
      0.002987826394862313,
      0.0028608787995321287,
      0.002735839009968622,
      0.002612678360552626,
      0.002491368584731081,
      0.00237188186969743,
      0.002254190734258892,
      0.0021382682516851276,
      0.002024087886975722,
      0.0019116234370986271,
      0.0018008491380215924,
      0.0016917393918800122,
      0.001584269328037921,
      0.0014784143555736078,
      0.0013741501302756342,
      0.0012714527582433817,
      0.0011702987591372719,
      0.0010706649424021175,
      0.0009725283987564081,
      0.000875866620143527,
      0.0007806574816265646,
      0.0006868790714332618,
      0.0005945099741895446,
      0.0005035290212573446,
      0.0004139153414494275,
      0.0003256483424572494,
      0.00023870784646865716,
      0.00015307385167855742,
      6.872672127812183e-05,
      -1.4352792028463716e-05,
      -9.618388253048905e-05,
      -0.00017678527045620376,
      -0.000256175320140893,
      -0.00033437230931509924,
      -0.0004113942271619883,
      -0.00048725864162154237,
      -0.0005619830036877635,
      -0.0006355843531056228,
      -0.0007080796526902726,
      -0.0007794854795025434,
      -0.0008498181663324281,
      -0.0009190938720441626,
      -0.0009873285243338975,
      -0.001054537742184202,
      -0.0011207369863214976,
      -0.0011859414734798636,
      -0.0012501661408839265,
      -0.0013134256284460855,
      -0.0013757344126259017,
      -0.001437106729623304,
      -0.0014975567332740241,
      -0.001557098238551612,
      -0.0016157449351091755,
      -0.0016735103455146237,
      -0.0017304076874606262,
      -0.0017864500084183227,
      -0.0018416501924413094,
      -0.001896020819638458,
      -0.0019495744129697636,
      -0.002002323194805362,
      -0.0020542792874380014,
      -0.0021054545636156885,
      -0.0021558607185648104,
      -0.0022055093094917972,
      -0.002254411807354455,
      -0.002302579374689804,
      -0.002350022979466609,
      -0.0023967536542573663,
      -0.002442782125950711,
      -0.002488118864924698,
      -0.0025327742656729157,
      -0.002576758636776844,
      -0.0026200818979540807
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56657986527582,
      10.33561554002341,
      10.096228280500277,
      9.851574057963044,
      9.604205869887522,
      9.356362071486076,
      9.109992333110123,
      8.866728170637028,
      8.627861690463561,
      8.394340333944278,
      8.166801231289686,
      7.94559976864386,
      7.730839850108371,
      7.522405550321921,
      7.320011595221379,
      7.12325617870058,
      6.931661973316588,
      6.744713357146136,
      6.561889783858653,
      6.3826897322816185,
      6.206650499388232,
      6.033351121869294,
      5.862422101453023,
      5.69356766173096,
      5.526569196436577,
      5.361284535389829,
      5.1976498376410705,
      5.035684345946824,
      4.875469557269787,
      4.717149458880648,
      4.560939775624958,
      4.407129460405033,
      4.256074038749486,
      4.108158638894078,
      3.9637817476855863,
      3.823338095394675,
      3.687210203290356,
      3.555752304903331,
      3.4292746556447318,
      3.308036572601078,
      3.1922418577844756,
      3.082036602064941,
      2.9775054407655492,
      2.8786607227686267,
      2.7854399125052254,
      2.6977181844290756,
      2.6153313264747755,
      2.538057801895368,
      2.465650207135299,
      2.39785947395432,
      2.334424308687334,
      2.2750472205916896,
      2.2194027403224736,
      2.167122955800088,
      2.117832423722626,
      2.0711763755381445,
      2.0268319957913294,
      1.9845066372249607,
      1.9439523172524553,
      1.904962648240371,
      1.8673747051084237,
      1.8310572208459195,
      1.7959001944202702,
      1.7618064982684871,
      1.728696411491752,
      1.6965047803293993,
      1.6651770992166108,
      1.6346667484388766,
      1.6049330524173326,
      1.575940054596239,
      1.5476553969416806,
      1.5200483071181634,
      1.493088258775369,
      1.4667475176584064,
      1.4410010219526788,
      1.4158258240142136,
      1.391201260797093,
      1.3671089894457409,
      1.3435321849756858,
      1.3204545221715047,
      1.2978601510502907,
      1.2757337559891302,
      1.2540605862615706,
      1.2328268044337949,
      1.2120207882241951,
      1.1916314947311069,
      1.1716476816753811,
      1.1520583547340693,
      1.1328547370878046,
      1.114029628030527,
      1.0955753246679025,
      1.0774838983057369,
      1.0597470247907665,
      1.0423560729137438,
      1.0253023276007107,
      1.0085771324214141,
      0.9921719794608531,
      0.9760785631853037,
      0.960288811322467,
      0.9447949007997251,
      0.9295892644137346,
      0.9146645898601822,
      0.9000138162918575,
      0.8856301274000004,
      0.8715069436140563,
      0.8576379136579765,
      0.8440169052366457,
      0.8306379965469934,
      0.8174954669433931,
      0.8045837885380569,
      0.7918976179666727,
      0.7794317881530564,
      0.7671813006906577,
      0.7551413190948997,
      0.743307161474365,
      0.7316742938830186,
      0.7202383242896079,
      0.7089949966899995,
      0.697940185112348,
      0.6870698887375724,
      0.6763802262768569,
      0.6658674314060653,
      0.6555278481812804,
      0.6453579266547806,
      0.6353542108963204,
      0.625513288079182,
      0.6158318306623305,
      0.6063066285705255,
      0.5969345765659602,
      0.58771266471859,
      0.5786379713194559,
      0.569707657104145,
      0.5609189607510527,
      0.5522691946780149,
      0.5437557424518049,
      0.5353760551065434,
      0.5271276485737503,
      0.5190081014009517,
      0.5110150666351974,
      0.503146288285149,
      0.49539964789186675,
      0.4877733967083396,
      0.4802657702998127,
      0.47287490854813863,
      0.4655989051616932,
      0.458435839163606,
      0.4513837948403711,
      0.44444087481093403,
      0.43760520762193555,
      0.43087495275759186,
      0.42424830306775285,
      0.41772330913426764,
      0.4112977269313726,
      0.40496946531049577,
      0.3987370169780464,
      0.3925993876577351,
      0.38655543810213877,
      0.3806038931711452,
      0.37474339900252923,
      0.3689725606114003,
      0.36328996603713437,
      0.3576942116782341,
      0.3521841127615147,
      0.34675858029233114,
      0.34141642907605085,
      0.33615642071830426,
      0.3309772908018303,
      0.32587771166435825,
      0.320856128207849,
      0.31591101307986114,
      0.31104100507380905,
      0.3062449191294026,
      0.30152160007768,
      0.29686990039655986,
      0.2922886895281287,
      0.28777687077012354,
      0.2833333612191381,
      0.2789570874894072,
      0.2746469890169061,
      0.2704020200234102,
      0.266221150737254,
      0.2621033679153598,
      0.2580476751937094,
      0.2540531135256951,
      0.2501190603843404,
      0.2462450226666699,
      0.24243035391568205,
      0.23867431216607202,
      0.23497609722347168,
      0.23133487543312475,
      0.22774979625630368,
      0.22422000304619305,
      0.22074464010122513,
      0.2173228574736802,
      0.21395381380851178,
      0.21063667815233098,
      0.20737061666576317,
      0.20415472692012443,
      0.20098811356932422,
      0.1978699321651462,
      0.1947993762326077,
      0.19177566860420692,
      0.1887980556805118,
      0.18586580337429034,
      0.18297819461012135,
      0.18013452751807155,
      0.1773341138196633,
      0.1745762780368327,
      0.17186035678380665,
      0.16918569829275035,
      0.16655166191134976,
      0.1639576177111552,
      0.16140294630084825,
      0.15888703841231114,
      0.15640929497098544,
      0.15396912668408488,
      0.15156595378215448,
      0.1491992058689745,
      0.14686832187947915,
      0.14457274975850035,
      0.14231194624673907,
      0.14008537701003043,
      0.13789251613875186,
      0.13573284612947567,
      0.13360585786572746,
      0.13151105021612736,
      0.12944793015892014,
      0.12741601244719059,
      0.1254148194312477,
      0.12344388112027545,
      0.12150273488592148,
      0.11959092555764432,
      0.11770800501958631,
      0.11585353223055533,
      0.11402707311338814,
      0.11222820049882516,
      0.11045649375386393,
      0.10871153883235637,
      0.10699292824486908,
      0.10530026074486207,
      0.1036331416332403,
      0.10199118216218238,
      0.10037399969682667,
      0.09878121747728062,
      0.09721246471848063,
      0.09566737627867657,
      0.09414559265851796,
      0.09264676000037857,
      0.09117052991626258,
      0.08971655946169935,
      0.08828451090553698,
      0.08687405175973963,
      0.08548485474804969,
      0.0841165975251224,
      0.08276896270295081,
      0.08144163793583648,
      0.08013431555225713,
      0.07884669269990513,
      0.07757847109692487,
      0.07632935700039714,
      0.07509906124799234,
      0.07388729915047175,
      0.07269379031477197,
      0.0715182586159843,
      0.0703604322069939,
      0.06922004347997811,
      0.06809682877309255,
      0.06699052862572752,
      0.06590088737169662,
      0.06482765333146806,
      0.0637705787010223,
      0.06272941933720402,
      0.06170393484282262,
      0.0606938885606041,
      0.05969904746011077,
      0.05871918200946901,
      0.05775406611413934,
      0.05680347711295951,
      0.05586719589506362,
      0.054945006559415685,
      0.054036696464722554,
      0.05314205630759272,
      0.05226087988542222,
      0.051392964189061995,
      0.05053810915444891,
      0.04969611776864275,
      0.04886679613989843,
      0.048049953191289574,
      0.047245400823139806,
      0.04645295382242789,
      0.04567242973564836,
      0.0449036489144877,
      0.044146434412740555,
      0.043400611820517195,
      0.04266600949612377,
      0.04194245847444733,
      0.0412297923603043,
      0.04052784708497465,
      0.0398364611298308,
      0.039155475479765035,
      0.03848473347150704,
      0.0378240808198894,
      0.037173365566978284,
      0.03653243811357543,
      0.0359011510621326,
      0.03527935926267361,
      0.0346669197015296,
      0.03406369155765169,
      0.033469536184317604,
      0.03288431699126556,
      0.03230789947471907,
      0.031740151080481345,
      0.031180941367067963,
      0.030630141769972044,
      0.030087625729277107,
      0.029553268589837714,
      0.029026947591433795,
      0.028508541739061245,
      0.02799793185797873,
      0.027495000643152686,
      0.026999632589008237,
      0.026511713957432723,
      0.026031132632219022,
      0.025557778125859274,
      0.025091541764577233,
      0.024632316485758577,
      0.02417999679459945,
      0.023734478764674893,
      0.023295660038558073,
      0.022863439847105572,
      0.022437718901246982,
      0.022018399295976765,
      0.02160538492725855,
      0.02119858095012348,
      0.020797893825695284,
      0.02040323162607501,
      0.020014503686916946,
      0.01963162078700628,
      0.01925449502756768,
      0.01888303968526215,
      0.018517169546814788,
      0.01815680061962347,
      0.017801850229028648,
      0.017452236821405856,
      0.017107880071135468,
      0.016768700947266704,
      0.01643462158190484,
      0.01610556525142535,
      0.015781456520995,
      0.015462220879021969,
      0.01514778506836976,
      0.014838076932817518,
      0.014533025350561493,
      0.014232560260559827,
      0.013936612795191886,
      0.013645114914615964,
      0.013357999750780508,
      0.013075201357834859,
      0.012796654911822048,
      0.012522296386146946,
      0.012252062835126714,
      0.011985892172457399,
      0.011723723347496353,
      0.011465496226793692,
      0.011211151472656564,
      0.01096063069218494,
      0.010713876424441382,
      0.010470831997695988,
      0.010231441657070907,
      0.009995650498427773,
      0.009763404405737398,
      0.00953465003601842,
      0.009309334921560067,
      0.009087407385047966,
      0.00886881643872206,
      0.008653511864007911,
      0.008441444269018295,
      0.008232565117604089,
      0.008026826322242228,
      0.00782418063450786,
      0.007624581586771246,
      0.0074279834180619375,
      0.007234340970854496,
      0.007043609774538949,
      0.006855746151018405,
      0.006670706934932653,
      0.00648844969252484,
      0.006308932567662866,
      0.006132114378437645,
      0.005957954538231145,
      0.0057864130428105535,
      0.005617450472260822,
      0.005451028065345594,
      0.005287107713734552,
      0.0051256517549992655,
      0.004966623187537171,
      0.00480998548077824,
      0.00465570269894666,
      0.004503739493688378,
      0.004354060876135197,
      0.004206632550405658,
      0.004061420696224962,
      0.003918391957222603,
      0.003777513475108757,
      0.0036387530090280476,
      0.003502078687832508,
      0.0033674592732646906,
      0.003234863751177845,
      0.0031042615849404555,
      0.0029756228945589935,
      0.0028489181803327945,
      0.0027241184170374686,
      0.0026011949399657322,
      0.0024801195614743738,
      0.0023608643709893845,
      0.002243402045739023,
      0.00212770566043288,
      0.002013748670715045,
      0.0019015049044447177,
      0.0017909486306914428,
      0.0016820545732993152,
      0.0015747976014477815,
      0.0014691531465836206,
      0.001365096914954192,
      0.0012626050469138022,
      0.0011616539211150242,
      0.0010622205327527714,
      0.000964282085172784,
      0.0008678160593151075,
      0.0007728002971306963,
      0.0006792130673620087,
      0.0005870327890289733,
      0.0004962383734016396,
      0.00040680900086378967,
      0.00031872409662031423,
      0.00023196344083998037,
      0.00014650714627956836,
      6.233559305182555e-05,
      -2.057054021502182e-05,
      -0.00010223020598252577,
      -0.00018266216393540192,
      -0.0002618849083260904,
      -0.0003399165752791636,
      -0.0004167750457057775,
      -0.0004924780536699932,
      -0.0005670429317015381,
      -0.0006404867868795088,
      -0.0007128265106485131,
      -0.0007840786482326457,
      -0.0008542595968773416,
      -0.0009233855050482095,
      -0.0009914721129131562,
      -0.0010585350944158638,
      -0.0011245897813503677,
      -0.0011896514019067743,
      -0.0012537348476197115,
      -0.001316854897345629,
      -0.0013790260017103723,
      -0.00144026249255081,
      -0.0015005783083166721,
      -0.0015599873606992796,
      -0.0016185032836844788,
      -0.0016761393979814266,
      -0.0017329090436058701,
      -0.0017888251800661397,
      -0.00184390073036716,
      -0.0018981482242744069,
      -0.0019515801275328188,
      -0.0020042088208790643,
      -0.002056046298611788,
      -0.002107104432107598,
      -0.0021573949847388456,
      -0.0022069294287236393,
      -0.002255719213037578,
      -0.002303775496719102,
      -0.0023511092433789508,
      -0.0023977313089090587,
      -0.0024436524713610077,
      -0.0024888831677718445,
      -0.002533433847086641,
      -0.0025773147566131856,
      -0.0026205359249174783
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56657763271153,
      10.335605466038555,
      10.096205067909374,
      9.851532872763293,
      9.604143012435326,
      9.356275040814726,
      9.109879607519298,
      8.866588968193362,
      8.627696140694129,
      8.394149087524445,
      8.166585060520655,
      7.945359431671819,
      7.7305758710795205,
      7.5221180385758455,
      7.319700559478863,
      7.122921591954518,
      6.931303795066857,
      6.744331599806388,
      6.561484633852803,
      6.382261457157807,
      6.206199527970404,
      6.032878149213199,
      5.861927996155494,
      5.6930534652766545,
      5.526036206047007,
      5.360734308390063,
      5.197084186854142,
      5.035105277765746,
      4.874879252007007,
      4.7165504150413105,
      4.560334732731176,
      4.406521827996333,
      4.255467516017239,
      4.107556915951375,
      3.9631884218291002,
      3.822756667329991,
      3.686644064843322,
      3.5552045083121397,
      3.428747869365989,
      3.3075330484821426,
      3.191763411711002,
      3.0815846084437295,
      2.9770807702787874,
      2.878263658341051,
      2.785070155566203,
      2.6973748705463465,
      2.6150129765312347,
      2.5377624911940324,
      2.465375859364086,
      2.3976039471494226,
      2.334185321424597,
      2.274822307466306,
      2.219189255458239,
      2.166917992085741,
      2.1176333691579936,
      2.0709808581072098,
      2.026637872409449,
      1.984312138157168,
      1.9437560798925182,
      1.9047636796522491,
      1.8671723052288978,
      1.8308508937253374,
      1.795689576946767,
      1.7615913526415445,
      1.7284766036716794,
      1.6962802497822753,
      1.664947837145035,
      1.634432782564217,
      1.6046944266456904,
      1.5756968164058083,
      1.5474076129448358,
      1.5197960848798269,
      1.4928317165559675,
      1.4664867674435742,
      1.440736170953309,
      1.4155569870033076,
      1.3909285658940944,
      1.3668325678356128,
      1.343252160787847,
      1.3201710071363155,
      1.2975732476347812,
      1.2754435600052505,
      1.2537671881805006,
      1.2325303669698264,
      1.2117215793126288,
      1.1913297172764528,
      1.171343494312155,
      1.1517519984047546,
      1.1325465992779837,
      1.1137200019502227,
      1.095264426913006,
      1.077171898793384,
      1.059434052016759,
      1.0420422278067907,
      1.0249876921469485,
      1.0082617763259798,
      0.9918559633786996,
      0.9757619414756219,
      0.9599716344827584,
      0.9444772162603803,
      0.9292711172708942,
      0.9143460239045031,
      0.8996948738075153,
      0.8853108498206064,
      0.8711873717631976,
      0.8573180875248576,
      0.8436968641510267,
      0.8303177789901474,
      0.8171751109108968,
      0.8042633312842126,
      0.7915770960460491,
      0.7791112376582287,
      0.7668607573545777,
      0.7548208180047663,
      0.7429867369555967,
      0.7313539798585418,
      0.7199181542498242,
      0.7086750034775856,
      0.6976204009534237,
      0.6867503453165668,
      0.6760609547775009,
      0.6655484624184885,
      0.6552092116776704,
      0.6450396519061989,
      0.6350363257209881,
      0.6251958185373967,
      0.6155148029546988,
      0.6059900689966103,
      0.5966185113512145,
      0.5873971196573441,
      0.578322971818646,
      0.5693932281187422,
      0.5606051266872005,
      0.551955979697166,
      0.5434431698783705,
      0.5350641478713086,
      0.5268164292696899,
      0.5186975917987202,
      0.5107052986662002,
      0.5028372941398792,
      0.49509152117362215,
      0.4874662454675423,
      0.47995966951097996,
      0.4725699115694265,
      0.46529505096727686,
      0.4581331570045277,
      0.45108230769792795,
      0.44414060124683813,
      0.4373061632277648,
      0.4305771510555708,
      0.42395175612027924,
      0.4174280949523638,
      0.4110039372337858,
      0.4046771626776047,
      0.39844634034691223,
      0.3923104685068477,
      0.3862683619810955,
      0.3803187152081362,
      0.37446015449182407,
      0.3686912715832074,
      0.36301064591924326,
      0.3574168823581638,
      0.3519088121550683,
      0.34648533100722634,
      0.34114524375600946,
      0.33588730543488754,
      0.3307102472112437,
      0.32561273853387807,
      0.32059322281473174,
      0.3156501714439523,
      0.3107822351964441,
      0.3059882293007958,
      0.30126699316668754,
      0.29661737554390777,
      0.2920382445484955,
      0.28752850291964893,
      0.2830870658328242,
      0.2787128586454021,
      0.2744048200410862,
      0.27016190373446713,
      0.26598307939560706,
      0.26186733337159573,
      0.25781366905862285,
      0.2538211372306746,
      0.24988912922223724,
      0.24601714306546585,
      0.24220452643375015,
      0.2384505332777959,
      0.23475436085896284,
      0.2311151737432137,
      0.22753212017896388,
      0.2240043427905923,
      0.22053098533483712,
      0.21711119737920237,
      0.21374413714991303,
      0.21042897352940487,
      0.20716487026132321,
      0.2039509216969152,
      0.20078623441049273,
      0.19766996520510205,
      0.1946013083705925,
      0.19157948717253728,
      0.1886037483041262,
      0.1856733580087069,
      0.18278759940156025,
      0.1799457706383127,
      0.17714718350339326,
      0.17439116259326506,
      0.17167704442961845,
      0.16900417723209268,
      0.1663719203261995,
      0.1637796437250327,
      0.16122672810111668,
      0.1587125642000918,
      0.15623655299976028,
      0.15379810506243852,
      0.15139664065097483,
      0.14903158940606195,
      0.14670239020246117,
      0.144408490934696,
      0.14214934839188856,
      0.1399244282146463,
      0.13773320452779142,
      0.13557515980705526,
      0.13344978495480073,
      0.13135657884695204,
      0.12929504843812972,
      0.12726470838177487,
      0.12526508119551943,
      0.12329569699854226,
      0.121356093170839,
      0.11944581441634758,
      0.11756441272823734,
      0.11571144703339985,
      0.11388648324719193,
      0.11208909421021912,
      0.11031885936130272,
      0.10857536480079746,
      0.10685820298713962,
      0.1051669728235159,
      0.10350127939007316,
      0.10186073391310667,
      0.10024495385612327,
      0.09865356248507295,
      0.09708618899991926,
      0.09554246838076096,
      0.09402204132398383,
      0.09252455393680246,
      0.09104965791443945,
      0.08959701030438465,
      0.08816627341607393,
      0.08675711483160821,
      0.08536920730436993,
      0.08400222851344956,
      0.08265586115984985,
      0.08132979285760529,
      0.08002371603266892,
      0.07873732775636536,
      0.07747032981136784,
      0.0762224286188305,
      0.07499333505130848,
      0.07378276448483209,
      0.0725904365200563,
      0.07141607517056742,
      0.07025940865662274,
      0.06912016939547687,
      0.0679980937970776,
      0.0668929224465493,
      0.06580439967493215,
      0.06473227389154662,
      0.06367629738396424,
      0.06263622601459469,
      0.061611819420366074,
      0.060602841067097755,
      0.05960905786642284,
      0.05863024035258461,
      0.057666162621527184,
      0.05671660213994062,
      0.055781339732173675,
      0.05486015950034252,
      0.05395284891881991,
      0.053059198639002214,
      0.05217900262758322,
      0.051312057862039545,
      0.05045816447342383,
      0.049617125544871854,
      0.04878874727712091,
      0.0479728386253529,
      0.04716921155714469,
      0.046377680787090945,
      0.0455980640217058,
      0.04483018163319105,
      0.04407385662349819,
      0.043328914785802565,
      0.0425951846382408,
      0.04187249720566468,
      0.0411606860399711,
      0.040459587186629946,
      0.03976903919857943,
      0.039088883093124464,
      0.03841896234690505,
      0.03775912264233254,
      0.03710921214162103,
      0.036469081238199905,
      0.0358385826482579,
      0.035217571259449104,
      0.034605904214040646,
      0.03400344075898232,
      0.033410042227820756,
      0.03282557209469413,
      0.03224989594075777,
      0.031682881323931676,
      0.03112439785365783,
      0.030574317095168047,
      0.030032512487620622,
      0.02949885932070682,
      0.028973234928112636,
      0.028455518487982744,
      0.02794559087537033,
      0.02744333493458015,
      0.026948635103645587,
      0.026461377579888323,
      0.02598145033278224,
      0.025508743041285604,
      0.025043146967632667,
      0.02458455514283499,
      0.024132862113337736,
      0.02368796411392107,
      0.023249758852463845,
      0.02281814556117106,
      0.022393025066679995,
      0.021974299650075173,
      0.02156187303624583,
      0.021155650409939806,
      0.020755538470849273,
      0.020361445225421576,
      0.019973280180303945,
      0.01959095412150632,
      0.019214379089266473,
      0.018843468561718625,
      0.018478137351133673,
      0.01811830149285214,
      0.01776387834906193,
      0.01741478647568555,
      0.01707094554499014,
      0.01673227655899257,
      0.016398701692290452,
      0.01607014438800822,
      0.015746529152971457,
      0.015427781650097073,
      0.015113828584890333,
      0.014804597889048022,
      0.014500018431339972,
      0.01420002025429743,
      0.01390453440781213,
      0.013613493047976344,
      0.01332682929174704,
      0.013044477387449536,
      0.012766372355018058,
      0.012492450348281432,
      0.012222648404490872,
      0.011956904579176801,
      0.011695157836740815,
      0.01143734804013434,
      0.011183415886638418,
      0.010933303095294871,
      0.010686952165206178,
      0.010444306576602641,
      0.010205310645165246,
      0.009969909373768326,
      0.009738048701002363,
      0.00950967542268539,
      0.009284737002132252,
      0.00906318179037607,
      0.008844958988877572,
      0.008630018373860083,
      0.008418310646349987,
      0.008209787105155962,
      0.008004399888268501,
      0.007802101823378806,
      0.007602846420682636,
      0.007406588008748083,
      0.007213281415167782,
      0.007022882202870412,
      0.006835346692904379,
      0.006650631748535476,
      0.006468695000210867,
      0.0062894947303931015,
      0.006112989722413894,
      0.005939139442429952,
      0.005767903937327371,
      0.005599243932492336,
      0.00543312059496932,
      0.005269495819981153,
      0.0051083320240965565,
      0.004949592220371236,
      0.004793239879572254,
      0.004639239117577023,
      0.004487554605370612,
      0.0043381515067990525,
      0.004190995456208763,
      0.004046052646367603,
      0.0039032898037566054,
      0.0037626742234396146,
      0.00362417351978225,
      0.003487755861892188,
      0.0033533899188418746,
      0.0032210448890445005,
      0.0030906904240831376,
      0.002962296592509175,
      0.0028358338958073396,
      0.0027112732601723647,
      0.0025885860055749233,
      0.002467743993808574,
      0.0023487194927226365,
      0.002231485080072306,
      0.0021160138411422513,
      0.0020022793521766442,
      0.001890255411299871,
      0.0017799163873328883,
      0.0016712369154747633,
      0.0015641920077167166,
      0.001458757107391169,
      0.0013549080247477867,
      0.0012526208355207395,
      0.0011518720285177697,
      0.0010526384708983393,
      0.000954897450791444,
      0.0008586264799971038,
      0.0007638034729456829,
      0.0006704066152833851,
      0.0005784144629572345,
      0.00048780588330611815,
      0.0003985600548044197,
      0.00031065651260216485,
      0.00022407504906851158,
      0.00013879579350096468,
      5.4799108644825045e-05,
      -2.7934314614311593e-05,
      -0.00010942339941935649,
      -0.00018968676381106377,
      -0.00026874284443665253,
      -0.0003466099182187252,
      -0.0004233058241260302,
      -0.0004988482814185738,
      -0.0005732545520341698,
      -0.0006465416992215459,
      -0.000718726590876532,
      -0.0007898258894564043,
      -0.000859855843843392,
      -0.0009288325248720621,
      -0.0009967718820907696,
      -0.001063689443894463,
      -0.0011296005881798628,
      -0.0011945203102954288,
      -0.0012584635808259863,
      -0.001321445118075045,
      -0.0013834794522231604,
      -0.0014445808171341685,
      -0.0015047631741966787,
      -0.0015640403054544118,
      -0.0016224258994771178,
      -0.0016799333633719612,
      -0.0017365758881052748,
      -0.0017923665004140807,
      -0.0018473179420913344,
      -0.0019014429935418048,
      -0.0019547540023637996,
      -0.0020072632626885454,
      -0.0020589827580170693,
      -0.0021099243545517543,
      -0.002160099746030823,
      -0.0022095204233526433,
      -0.0022581977705458294,
      -0.0023061430394649366,
      -0.002353367228575023,
      -0.0023998811519247046,
      -0.0024456954813973277,
      -0.002490820858053441,
      -0.0025352675654171184,
      -0.002579045779781559,
      -0.002622165609887966
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566575404623151,
      10.335595412387137,
      10.096181895831826,
      9.851491747038734,
      9.604080229320076,
      9.356188094978517,
      9.109766971234183,
      8.866449857041943,
      8.627530683427828,
      8.393957932506021,
      8.166368977455733,
      7.945119176340775,
      7.730311966076146,
      7.5218305714082705,
      7.31938954004212,
      7.122586996151141,
      6.930945584996944,
      6.743949790305038,
      6.561079414215607,
      6.38183309846518,
      6.205748460990909,
      6.032405069760749,
      5.861433773506507,
      5.69253914114562,
      5.525503077869723,
      5.3601839342214825,
      5.196518379658531,
      5.034526040539026,
      4.874288763149256,
      4.715951173678553,
      4.559729477652068,
      4.405913968452723,
      4.254860750304691,
      4.106954934269471,
      3.9625948210820177,
      3.8221749457976175,
      3.6860776128261965,
      3.554656378328739,
      3.4282207295099236,
      3.3070291488834958,
      3.1912845668222993,
      3.081132192348075,
      2.976655653434453,
      2.877866123657196,
      2.784699905787047,
      2.697031041847602,
      2.61469409045365,
      2.5374666249124322,
      2.4651009385978844,
      2.3973478153533554,
      2.333945684928746,
      2.2745967097856337,
      2.2189750598479923,
      2.1667123008250595,
      2.1174335252351515,
      2.070784470666032,
      2.026442825143408,
      1.9841166822194383,
      1.943558869660902,
      1.904563734247262,
      1.8669689333250747,
      1.8306436060034397,
      1.7954780142556515,
      1.7613752797705744,
      1.728255888008149,
      1.6960548316219541,
      1.664717708082661,
      1.6341979699777913,
      1.60445497998211,
      1.5754527855214575,
      1.5471590604712688,
      1.5195431162394082,
      1.492574447830098,
      1.4662253086630912,
      1.440470627756648,
      1.4152874736397256,
      1.3906552096904752,
      1.3665554993270528,
      1.3429715034482712,
      1.319886871937149,
      1.2972857362352048,
      1.2751527677704764,
      1.2534732050927555,
      1.2322333559271044,
      1.2114218083475992,
      1.1910273885453362,
      1.1710387662314115,
      1.15144511157041,
      1.132237940601964,
      1.1134098640477534,
      1.094953026274848,
      1.076859404909451,
      1.0591205933985786,
      1.041727904724674,
      1.0246725863750594,
      1.0079459563806974,
      0.9915394892749549,
      0.9754448676852494,
      0.9596540108946436,
      0.9441590902470814,
      0.9289525340669702,
      0.9140270268732433,
      0.899375505105742,
      0.8849911506987157,
      0.8708673823486321,
      0.8569978473094207,
      0.8433764122671773,
      0.8299971537679016,
      0.8168543500371604,
      0.80394247195455,
      0.7912561749055773,
      0.7787902906830801,
      0.766539820107765,
      0.7544999251975039,
      0.7426659228650864,
      0.7310332781023526,
      0.7195975980101823,
      0.7083546253618774,
      0.6973002331273367,
      0.686430419222224,
      0.675741301302093,
      0.6652291118004651,
      0.6548901938122286,
      0.6447209960081702,
      0.6347180595730346,
      0.6248779680068726,
      0.6151973940696641,
      0.6056731278282108,
      0.5963020638141707,
      0.5870811915850848,
      0.5780075885489149,
      0.5690784145308454,
      0.5602909072583121,
      0.5516423782972419,
      0.5431302100426281,
      0.5347518524299401,
      0.5265048203527661,
      0.5183866933010308,
      0.5103951433712328,
      0.5025279131602207,
      0.49478301739270564,
      0.4871587231635484,
      0.47965320110426823,
      0.47226454853567723,
      0.46499083103846645,
      0.4578301087746528,
      0.450780453565119,
      0.4438399595162966,
      0.4370067493313355,
      0.4302789783246218,
      0.4236548363948223,
      0.41713247735355863,
      0.4107097235541587,
      0.4043844566398238,
      0.39815530105240377,
      0.39202121192611084,
      0.3859809635127434,
      0.3800332234968669,
      0.3741766003646068,
      0.36840967419587994,
      0.3627310166952764,
      0.35713924201857367,
      0.3516331976076125,
      0.3462117642615074,
      0.3408737369344292,
      0.33561786422624124,
      0.3304428731019854,
      0.3253474302705297,
      0.32032997739565683,
      0.315388984808647,
      0.31052311514610975,
      0.3057311838048715,
      0.3010120249947914,
      0.2963644839843226,
      0.2917874280399027,
      0.2872797584839894,
      0.2828403887050713,
      0.27846824289928246,
      0.2741622588006244,
      0.26992138952052225,
      0.26574460425119206,
      0.2616308891365612,
      0.2575792472856153,
      0.253588739257701,
      0.2496587701497171,
      0.2457888292578281,
      0.2419782586164663,
      0.23822630825978075,
      0.23453217262816248,
      0.230895014435738,
      0.2273139807978911,
      0.22378821343569655,
      0.220316855516678,
      0.2168990563549941,
      0.21353397387555303,
      0.21022077669825637,
      0.2069586260774513,
      0.20374661318653647,
      0.20058384639698412,
      0.1974694836653622,
      0.19440272010050258,
      0.19138277960735725,
      0.18840890926396991,
      0.18548037552093372,
      0.18259646159952642,
      0.17975646560852465,
      0.17695969946279289,
      0.17420548774789407,
      0.1714931670935674,
      0.16882208566609883,
      0.16619160283600262,
      0.16360108861320768,
      0.16104992361175305,
      0.15853749859632832,
      0.1560632144308078,
      0.15362648169669577,
      0.1512267205414183,
      0.14886336073046416,
      0.14653584107674367,
      0.1442436095504501,
      0.14198612296885996,
      0.13976284685782733,
      0.13757325537599044,
      0.13541683105401237,
      0.1332930646791826,
      0.13120145529987762,
      0.12914150982165531,
      0.1271127429134298,
      0.12511467709592355,
      0.12314684241533244,
      0.1212087762545479,
      0.11930002339603879,
      0.11742013577706066,
      0.11556867243928175,
      0.11374519934170686,
      0.11194928927200418,
      0.11018052164629046,
      0.10843848255299099,
      0.10672276458266997,
      0.10503296673690196,
      0.10336869407798223,
      0.10172955802217712,
      0.10011517594156447,
      0.09852517121225404,
      0.09695917291975027,
      0.09541681611197891,
      0.09389774142337774,
      0.09240159509998845,
      0.09092802879553159,
      0.0894766996341176,
      0.08804727006287466,
      0.08663940767228515,
      0.08525278521230602,
      0.08388708043885197,
      0.08254197621988418,
      0.08121716016609042,
      0.079912324692044,
      0.07862716690975069,
      0.07736138867559775,
      0.076114696425373,
      0.07488680115932808,
      0.07367741823969987,
      0.07248626735377445,
      0.0713130725940423,
      0.07015756216958512,
      0.0690194684504203,
      0.06789852801090962,
      0.06679448145654256,
      0.06570707331625149,
      0.06463605194897089,
      0.06358116960095349,
      0.06254218232503521,
      0.06151884984984473,
      0.06051093566973101,
      0.05951820667442319,
      0.058540433526172046,
      0.05757739041777391,
      0.05662885475159807,
      0.055694607450746295,
      0.05477443286666476,
      0.053868118480211086,
      0.052975454995918915,
      0.05209623634344923,
      0.05123025950031468,
      0.050377324640938484,
      0.04953723500845144,
      0.04870979671188635,
      0.04789481897009429,
      0.04709211378850917,
      0.04630149593598834,
      0.04552278310997207,
      0.044755795731206416,
      0.04400035709891778,
      0.043256292955315426,
      0.04252343172771397,
      0.041801604570697974,
      0.04109064515476501,
      0.04039038961084103,
      0.03970067652895924,
      0.039021346962754756,
      0.038352244414985276,
      0.03769321471152193,
      0.03704410600189889,
      0.03640476879435717,
      0.035775055897855575,
      0.035154822284042514,
      0.034543925053112025,
      0.03394222349335174,
      0.033349579054012826,
      0.0327658553452673,
      0.032190917940135184,
      0.031624634466677716,
      0.031066874581148433,
      0.03051750987894127,
      0.029976413844703037,
      0.02944346196249157,
      0.028918531598296715,
      0.02840150201067544,
      0.027892254069800417,
      0.027390670612630917,
      0.026896636194509348,
      0.026410037178827398,
      0.025930761470585907,
      0.02545869882888437,
      0.024993740670921683,
      0.024535780022713807,
      0.02408471152031384,
      0.023640431481281598,
      0.023202837613235383,
      0.02277182912901511,
      0.022347306918322034,
      0.021929173325062265,
      0.021517332143574104,
      0.021111688774882197,
      0.02071214982434619,
      0.020318623364343723,
      0.01993101893027801,
      0.019549247465392383,
      0.019173221035575606,
      0.018802853101977057,
      0.0184380586400439,
      0.018078753723686603,
      0.017724855609854887,
      0.017376283018874974,
      0.017032955720283526,
      0.016694794816749733,
      0.01636172254910794,
      0.016033662405114616,
      0.015710538724231164,
      0.015392277291696097,
      0.01507880498369436,
      0.01477004974834012,
      0.014465940539177892,
      0.014166407437477813,
      0.013871381581857913,
      0.013580795056959203,
      0.013294581091863824,
      0.013012673804517679,
      0.012735008445875766,
      0.012461521254142264,
      0.012192149306453244,
      0.011926830666664657,
      0.011665504218732317,
      0.011408109872160694,
      0.011154588536308742,
      0.010904881990480175,
      0.010658932801687407,
      0.010416684423944824,
      0.010178081211832887,
      0.0099430683165374,
      0.009711591687143847,
      0.009483598017618498,
      0.009259034868214652,
      0.009037850669857773,
      0.00881999463642362,
      0.008605416584378385,
      0.008394067181238741,
      0.008185897942834489,
      0.007980860979434441,
      0.007778909132239507,
      0.007579996049242227,
      0.007384075907856104,
      0.0071911036677318315,
      0.007001034989362241,
      0.006813826269976795,
      0.006629434402367098,
      0.0064478170386167875,
      0.0062689323855256605,
      0.006092739307743381,
      0.005919197369947279,
      0.005748266678104067,
      0.005579907838205671,
      0.005414082226837096,
      0.0052507516675662155,
      0.00508987865696107,
      0.004931426223697437,
      0.004775357955274741,
      0.004621637982241496,
      0.004470230945678462,
      0.004321102074533869,
      0.004174217081093108,
      0.00402954217902194,
      0.00388704411600625,
      0.003746690138851825,
      0.003608447998326808,
      0.0034722859309280867,
      0.003338172629446117,
      0.0032060771900941144,
      0.0030759693346892976,
      0.0029478190883072885,
      0.0028215969604733237,
      0.0026972740776137704,
      0.0025748217961307964,
      0.0024542120289234985,
      0.0023354170267783584,
      0.0022184094988634546,
      0.0021031624987475797,
      0.0019896495734586686,
      0.0018778445576120106,
      0.0017677218080120833,
      0.0016592560138526237,
      0.0015524222563321384,
      0.0014471959617826352,
      0.0013435529578361798,
      0.0012414694231288363,
      0.0011409218701107383,
      0.0010418871290619048,
      0.0009443424289286089,
      0.0008482654479994878,
      0.0007536340098615561,
      0.000660426505336381,
      0.0005686213939710135,
      0.00047819767317855866,
      0.0003891344966002244,
      0.00030141146764899566,
      0.0002150084257905519,
      0.0001299053674710403,
      4.608280016967649e-05,
      -3.647853772301969e-05,
      -0.00011779761902672042,
      -0.00019789315126579458,
      -0.0002767835101255277,
      -0.0003544868943399707,
      -0.0004310211555050251,
      -0.0005064038935663496,
      -0.0005806524876205037,
      -0.0006537838779254455,
      -0.0007258149189130718,
      -0.0007967621333553516,
      -0.0008666418664065273,
      -0.0009354701525379905,
      -0.0010032628612561799,
      -0.0010700355112413908,
      -0.0011358034650141178,
      -0.0012005818427093557,
      -0.0012643854860971758,
      -0.001327229131543598,
      -0.0013891271368588005,
      -0.0014500937413660826,
      -0.0015101429561961942,
      -0.0015692886704284517,
      -0.0016275444955534848,
      -0.0016849238380902138,
      -0.0017414398377403105,
      -0.0017971054761047286,
      -0.001851933570461492,
      -0.001905936805022571,
      -0.00195912749444633,
      -0.002011517765697026,
      -0.0020631198157878864,
      -0.0021139454823384343,
      -0.002164006353856416,
      -0.002213314012395855,
      -0.0022618797798632222,
      -0.002309714858145284,
      -0.002356830105718432,
      -0.0024032364048849446,
      -0.0024489444816304983,
      -0.0024939647825443583,
      -0.002538307719288563,
      -0.0025819835186863837,
      -0.002625002103780973
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566573179383079,
      10.33558537266559,
      10.096158755696804,
      9.851450670942606,
      9.604017510764425,
      9.356101225284979,
      9.109654423952573,
      8.866310846902191,
      8.627365334459952,
      8.393766891733836,
      8.166153012452254,
      7.944879040536522,
      7.730048182890954,
      7.521543228902027,
      7.319078647735096,
      7.122252529288514,
      6.930587505437002,
      6.7435681128092835,
      6.56067432722165,
      6.3814048719274865,
      6.205297525056079,
      6.0319321208179675,
      5.860939681342265,
      5.692024949503397,
      5.524970085702699,
      5.359633699821839,
      5.195952715893153,
      5.033946941144003,
      4.873698396952386,
      4.715352039603739,
      4.559124315387321,
      4.405306190442876,
      4.2542540551111525,
      4.106353011737201,
      3.962001267015282,
      3.8215932590578476,
      3.685511183629188,
      3.554108257125197,
      3.427693582091191,
      3.3065252247020567,
      3.190805679269915,
      3.0806797135860315,
      2.9762304523911456,
      2.87746848243547,
      2.78432952656089,
      2.6966870618937597,
      2.614375033225182,
      2.537170569387448,
      2.4648258124621085,
      2.397091429925614,
      2.333705726307782,
      2.274370734958711,
      2.21876044478591,
      2.166506160034176,
      2.11723321128627,
      2.0705876014662348,
      2.0262472927362203,
      1.983920743928577,
      1.9433611849623218,
      1.9043633261536999,
      1.8667651130936622,
      1.8304358859447138,
      1.7952660359237915,
      1.7611588075876414,
      1.728034788918993,
      1.6958290454100837,
      1.6644872260711665,
      1.633962819162548,
      1.6042152122213957,
      1.575208452676338,
      1.5469102234702603,
      1.5192898790155311,
      1.4923169253462327,
      1.4659636104099631,
      1.4402048584484584,
      1.415017745966155,
      1.390381650719206,
      1.3662782393655222,
      1.3426906650143635,
      1.319602565642545,
      1.2969980640285776,
      1.2748618243308443,
      1.25317908031897,
      1.231936254603114,
      1.2111219826443376,
      1.1907250306505894,
      1.1707340276243265,
      1.1511382278155378,
      1.131929295837235,
      1.113099748996299,
      1.0946416559584884,
      1.076546947567904,
      1.0588071761549236,
      1.0414136271349228,
      1.0243575294092118,
      1.0076301887285022,
      0.991223071187593,
      0.975127853323855,
      0.9593364502574684,
      0.9438410302701574,
      0.9286340195609659,
      0.9137081010440312,
      0.8990562102189548,
      0.8846715278204402,
      0.8705474718922988,
      0.8566776889133249,
      0.8430560447152083,
      0.829676615207451,
      0.8165336778837204,
      0.8036217032462774,
      0.7909353460397652,
      0.7784694373488399,
      0.7662189773624918,
      0.7541791280447058,
      0.7423452054261553,
      0.7307126740265374,
      0.7192771401902884,
      0.7080343462522374,
      0.6969801643926394,
      0.6861105920648211,
      0.6754217464769399,
      0.6649098597752835,
      0.6545712742853608,
      0.6444024380794964,
      0.6343998908641573,
      0.6245602144066875,
      0.6148800819119108,
      0.6053562834183707,
      0.5959857130786144,
      0.5867653601200586,
      0.577692301409302,
      0.5687636963426191,
      0.5599767822227422,
      0.5513288703670967,
      0.5428173424814523,
      0.5344396481795276,
      0.5261933018085766,
      0.5180758878804034,
      0.5100850855646317,
      0.5022186378146587,
      0.49447462889722427,
      0.4868513219473501,
      0.47934685711197755,
      0.4719593115475672,
      0.4646867374834792,
      0.457527186484367,
      0.45047872440791314,
      0.44353944134552337,
      0.436707457355665,
      0.4299809256767525,
      0.4233580348670986,
      0.41683697586441915,
      0.4104156238688749,
      0.40409187768349814,
      0.3978644089687826,
      0.39173211464380997,
      0.38569373098109,
      0.37974790084812404,
      0.37389321622672694,
      0.3681282462462286,
      0.36245155516141325,
      0.35686176675426245,
      0.3513577451953203,
      0.3459383563662721,
      0.34060238572040175,
      0.3353485753143755,
      0.3301756477244246,
      0.32508226717744304,
      0.32006687364270386,
      0.31512793626859703,
      0.31026412969625145,
      0.3054742696973139,
      0.30075718514592087,
      0.2961117175536072,
      0.29153673342996056,
      0.287031132569859,
      0.28259382667953153,
      0.2782237389107263,
      0.2739198060631771,
      0.269680980495264,
      0.2655062310770135,
      0.2613945436375198,
      0.25734492101394235,
      0.2533564335918184,
      0.24942850030944547,
      0.24556060166653823,
      0.24175207373102478,
      0.2380021626227711,
      0.23431006019123984,
      0.2306749275158202,
      0.22709591040213176,
      0.22357214973300635,
      0.22010278812646172,
      0.2166869743908333,
      0.21332386618926008,
      0.21001263191806196,
      0.20675243052080686,
      0.20354234968847645,
      0.20038149978090516,
      0.197269039971704,
      0.19420416623990489,
      0.19118610304137557,
      0.18821409778872258,
      0.1852874170640831,
      0.18240534422013877,
      0.17956717759866916,
      0.17677222906720627,
      0.17401982316301523,
      0.17130929655426025,
      0.16863999749379993,
      0.1660112852386272,
      0.16342252983999814,
      0.16087311181499797,
      0.15836242195940387,
      0.15588986117464293,
      0.15345483999069484,
      0.15105677854709096,
      0.14869510656801183,
      0.14636926296938596,
      0.1440786956438887,
      0.14182286141747338,
      0.13960122580848097,
      0.13741326296412,
      0.1352584554948483,
      0.1331362942823095,
      0.13104627810211364,
      0.12898791392482015,
      0.12696071649726606,
      0.12496420834218906,
      0.12299791946324154,
      0.12106138731467078,
      0.11915415679442495,
      0.11727577978942108,
      0.11542581534106525,
      0.1136038294514675,
      0.11180939489935765,
      0.1100420912240794,
      0.10830150443219963,
      0.10658722714523505,
      0.10489885835572588,
      0.10323600326721616,
      0.10159827318102077,
      0.09998528558726763,
      0.09839666385044606,
      0.0968320372966236,
      0.09529104090721571,
      0.09377331528622126,
      0.09227850678682875,
      0.09080626704669802,
      0.08935625329891321,
      0.08792812796394225,
      0.08652155873681347,
      0.0851362183173457,
      0.08377178454577358,
      0.08242794027665215,
      0.08110437316547997,
      0.07980077570427557,
      0.07851684519172067,
      0.0772522835009124,
      0.0760067971432806,
      0.07478009713605528,
      0.07357189883827456,
      0.07238192203744641,
      0.07120989079151101,
      0.07005553339451906,
      0.06891858234492042,
      0.06779877427179551,
      0.06669584977433599,
      0.06560955335223721,
      0.0645396335284402,
      0.06348584257307355,
      0.0624479366262869,
      0.06142567549761493,
      0.060418822724702885,
      0.05942714530455347,
      0.05845041389303983,
      0.057488402648644514,
      0.0565408891562861,
      0.05560765441793733,
      0.05468848270954681,
      0.053783161615739504,
      0.05289148185414276,
      0.052013237496230415,
      0.05114822568249679,
      0.05029624662582724,
      0.04945710356591483,
      0.04863060271615691,
      0.04781655330743102,
      0.047014767338005,
      0.04622505977627976,
      0.04544724838939143,
      0.04468115371963884,
      0.04392659895998857,
      0.04318341001457691,
      0.04245141538502305,
      0.04173044614926466,
      0.04102033595362461,
      0.040320921125677624,
      0.039632040323518004,
      0.03895353472855615,
      0.03828524796464566,
      0.037627025829273936,
      0.03697871660583358,
      0.03634017088901368,
      0.035711241486088646,
      0.03509178338694576,
      0.034481653685221846,
      0.033880711860706354,
      0.033288819406020055,
      0.032705839932125405,
      0.03213163909705347,
      0.03156608466045049,
      0.031009046291778485,
      0.03046039564024151,
      0.02992000629150007,
      0.02938775372573366,
      0.028863515308115966,
      0.02834717031229869,
      0.02783859984291927,
      0.027337686873552536,
      0.02684431590991932,
      0.0263583732829502,
      0.025879747098343266,
      0.025408327263650575,
      0.02494400509570163,
      0.02448667367166126,
      0.024036227728706266,
      0.02359256346853264,
      0.02315557883185716,
      0.02272517314346326,
      0.022301247411701825,
      0.021883703959917396,
      0.021472446632662387,
      0.021067380780118317,
      0.0206684132119137,
      0.020275452047179107,
      0.019888406844256877,
      0.019507188513795907,
      0.019131709211552692,
      0.018761882496771055,
      0.018397623299114988,
      0.018038847667815338,
      0.01768547303449757,
      0.017337418233174955,
      0.016994603137685874,
      0.01665694878016369,
      0.016324377468034734,
      0.015996812651041387,
      0.015674179034705412,
      0.01535640235521915,
      0.015043409330170164,
      0.014735127918217253,
      0.014431487335640435,
      0.014132417658105221,
      0.01383785010629527,
      0.013547716801420395,
      0.013261951052777854,
      0.012980487064318279,
      0.012703260051968422,
      0.012430206231367303,
      0.012161262733030908,
      0.01189636765476461,
      0.01163546015618094,
      0.011378480188086213,
      0.011125368702357525,
      0.010876067313762101,
      0.010630518641033758,
      0.010388666183603172,
      0.010150454291408918,
      0.00991582827138314,
      0.009684734134427515,
      0.009457118695446536,
      0.009232929517285467,
      0.00901211502941172,
      0.008794624478373104,
      0.00858040783669359,
      0.008369415727408906,
      0.008161599656691172,
      0.007956911728055462,
      0.007755304918835316,
      0.0075567328892663654,
      0.007361149876988997,
      0.007168510949985929,
      0.006978771798573998,
      0.006791888796890249,
      0.006607818863280788,
      0.00642651967953839,
      0.006247949454722427,
      0.006072067180967922,
      0.0058988324089057145,
      0.005728205311717305,
      0.005560146649621942,
      0.0053946177684958295,
      0.005231580543645979,
      0.005070997446337682,
      0.004912831549334178,
      0.004757046458107974,
      0.004603606359035208,
      0.004452475923199107,
      0.004303620345895459,
      0.00415700543904813,
      0.004012597477892263,
      0.0038703632530829746,
      0.0037302701121140385,
      0.003592285703844904,
      0.0034563783605682224,
      0.003322516744557689,
      0.003190670100562984,
      0.0030608080520335536,
      0.002932900787353261,
      0.0028069188535908146,
      0.0026828332514567325,
      0.0025606154164632806,
      0.002440237265905412,
      0.0023216710312912985,
      0.0022048894928043553,
      0.002089865834346432,
      0.001976573570092821,
      0.001864986644035452,
      0.00175507946763836,
      0.0016468266604139153,
      0.001540203255590436,
      0.0014351848119316503,
      0.0013317471970718216,
      0.0012298665563004064,
      0.0011295194924835434,
      0.0010306828660702056,
      0.0009333339905377711,
      0.0008374504414737276,
      0.0007430101594019141,
      0.0006499914141144582,
      0.0005583728719878065,
      0.0004681333531717949,
      0.00037925220649912613,
      0.0002917088785864999,
      0.00020548327192939037,
      0.00012055559614298045,
      3.690637932503765e-05,
      -4.548367201280486e-05,
      -0.00012663353242982453,
      -0.00020656191299022012,
      -0.000285287226522316,
      -0.0003628274691449851,
      -0.00043920044991193675,
      -0.0005144238415611266,
      -0.0005885149637587932,
      -0.000661490863813151,
      -0.0007333683072178783,
      -0.0008041638497975094,
      -0.0008738937183595911,
      -0.0009425740205626661,
      -0.0010102205411077205,
      -0.0010768488099779517,
      -0.0011424742144081857,
      -0.0012071117856246969,
      -0.0012707763979186906,
      -0.0013334826741818486,
      -0.0013952450690880346,
      -0.00145607773472056,
      -0.001515994773538144,
      -0.0015750099373036562,
      -0.0016331367703334154,
      -0.0016903885861376997,
      -0.0017467785644033973,
      -0.0018023196626687336,
      -0.0018570247945479369,
      -0.0019109064094862706,
      -0.0019639769554005565,
      -0.002016248691966399,
      -0.002067733694261436,
      -0.00211844377930464,
      -0.002168390609832876,
      -0.002217585561830678,
      -0.0022660399600380283,
      -0.0023137649824875976,
      -0.002360771602727542,
      -0.002407070677083736,
      -0.00245267285374102,
      -0.0024975886214035933,
      -0.0025418282931479437,
      -0.0025854019893309706,
      -0.002628319861933992
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56657095902582,
      10.335575355921899,
      10.096135661409441,
      9.851409664949427,
      9.60395488516103,
      9.356014467238642,
      9.109542002163469,
      8.866171972972417,
      8.62719998148167,
      8.39357572421751,
      8.16593681507247,
      7.944638582835252,
      7.729784000906723,
      7.521255423421881,
      7.318767239406209,
      7.121917504436201,
      6.930228835603677,
      6.743185819208842,
      6.560268605596205,
      6.380975999080443,
      6.204845936942617,
      6.031458516993576,
      5.860444934520922,
      5.6915101038247204,
      5.524436440963347,
      5.359082815666876,
      5.195386406840601,
      5.033367202594638,
      4.873107399307696,
      4.714752284669896,
      4.558518546996107,
      4.4046978316649925,
      4.25364680555477,
      4.105750561361653,
      3.9614072112200005,
      3.821011096407625,
      3.6849443038765326,
      3.5535597099328693,
      3.4271660325058853,
      3.306020920233723,
      3.1903264314881814,
      3.080226893668251,
      2.975804927808265,
      2.877070532612997,
      2.783958851273307,
      2.6963427962176945,
      2.6140556987317165,
      2.5368742441159755,
      2.4645504231971693,
      2.396834787054103,
      2.333465515352403,
      2.274144514508071,
      2.218545592457672,
      2.1662997920806486,
      2.1170326820322036,
      2.0703905302351457,
      2.0260515723521735,
      1.9837246329727312,
      1.9431633430193351,
      1.9041627761660629,
      1.8665611664282022,
      1.830228054468727,
      1.7950539599452118,
      1.7609422509845023,
      1.7278136182132764,
      1.695603200036635,
      1.6642566965733967,
      1.6337276320412502,
      1.603975418974903,
      1.5749641038756814,
      1.546661379403249,
      1.5190366433209144,
      1.492059413092119,
      1.4657019302714183,
      1.4399391149816902,
      1.4147480519554896,
      1.3901081328183287,
      1.3660010276730343,
      1.342409882300085,
      1.319318322418764,
      1.2967104613371563,
      1.2745709565103331,
      1.2528850368846445,
      1.2316392675395427,
      1.210822294734813,
      1.1904228280426186,
      1.1704294579261663,
      1.1508315766340504,
      1.1316209255148788,
      1.112789935929282,
      1.0943306055364859,
      1.0762348222149574,
      1.0584940990529217,
      1.0410996957164753,
      1.0240428229616012,
      1.007314774289228,
      0.990907007738752,
      0.9748111941380568,
      0.9590192448734972,
      0.9435233254392746,
      0.9283158600815088,
      0.9133895302818743,
      0.8987372701103076,
      0.8843522593748894,
      0.8702279153315974,
      0.8563578835993659,
      0.8427360292728477,
      0.8293564280976526,
      0.8162133566981223,
      0.8033012848583229,
      0.7906148667475421,
      0.7781489330103945,
      0.7658984833201593,
      0.7538586788380232,
      0.7420248352089422,
      0.7303924164169104,
      0.7189570283670652,
      0.7077144126372432,
      0.696660440960949,
      0.6857911100878348,
      0.6751025366898479,
      0.6645909524858904,
      0.6542526992470743,
      0.6440842246875681,
      0.6340820666410659,
      0.6242428050014159,
      0.6145631133526276,
      0.6050397816890455,
      0.5956697040717779,
      0.5864498691770742,
      0.577377353820203,
      0.5684493169502121,
      0.5596629954273517,
      0.551015699946964,
      0.5425048118893472,
      0.5341277801465042,
      0.5258821186537732,
      0.5177654185548671,
      0.509775363965044,
      0.5019097325618073,
      0.4941666598979522,
      0.4865443715700981,
      0.47904098366781933,
      0.4716545573824243,
      0.4643831342903733,
      0.4572247585398615,
      0.4501774912701617,
      0.4432394192852968,
      0.43640866041579657,
      0.42968336661798084,
      0.4230617251897207,
      0.4165419594924853,
      0.410122000176324,
      0.4037997678094589,
      0.3975739804145088,
      0.39144347622533193,
      0.3854069532461885,
      0.37946302906228124,
      0.3736102791187235,
      0.3678472615108997,
      0.3621725332403992,
      0.35658472770885746,
      0.35108272559343406,
      0.34566537791561763,
      0.34033146045628215,
      0.3350797088743685,
      0.3299088415539557,
      0.32481751981310714,
      0.3198041821611547,
      0.3148672990228167,
      0.3100055556979162,
      0.3052177657817098,
      0.30050275316867736,
      0.2958593561818385,
      0.2912864406823166,
      0.28678290505700593,
      0.2823476594737511,
      0.2779796257631157,
      0.27367773998342915,
      0.26944095404600293,
      0.26526823653746373,
      0.26115857282102867,
      0.2571109654503546,
      0.2531244947273778,
      0.24919859330555108,
      0.24533273281264917,
      0.24152624356656924,
      0.23777836777304429,
      0.2340882946784792,
      0.23045518349911365,
      0.22687817888358316,
      0.2233564209018093,
      0.21988905152035396,
      0.21647521910469528,
      0.213114081157221,
      0.20980480585013553,
      0.20654654959976804,
      0.2033383968555535,
      0.20017945990134312,
      0.197068899191003,
      0.1940059114079931,
      0.1909897215077341,
      0.1880195773638739,
      0.1850947458288237,
      0.18221451039901462,
      0.17937816936926707,
      0.17658503458506675,
      0.17383443071242002,
      0.17112569441297812,
      0.1684581738287398,
      0.1658312282864199,
      0.16324422785850573,
      0.16069655311036998,
      0.15818759472832888,
      0.15571675360015644,
      0.15328344038804018,
      0.15088707515329858,
      0.1485270875472455,
      0.14620291646167177,
      0.14391400982629987,
      0.14165982445022196,
      0.1394398258760001,
      0.13725348820769237,
      0.13510029401456244,
      0.13297973406867014,
      0.1308913073355742,
      0.12883452084306285,
      0.1268088893453286,
      0.12481393536027191,
      0.12284918891860798,
      0.12091418749545722,
      0.11900847592013444,
      0.11713160618833979,
      0.11528313734145447,
      0.11346263535512027,
      0.11166967301845274,
      0.10990382991788746,
      0.10816469211822656,
      0.10645185225949251,
      0.10476490929347415,
      0.10310346848943422,
      0.1014671412502754,
      0.09985554505772562,
      0.0982683033230151,
      0.09670504537243012,
      0.09516540622972572,
      0.09364902663446706,
      0.09215555276810868,
      0.09068463648845067,
      0.0892359349920441,
      0.08780911080052628,
      0.08640383160297202,
      0.0850197702088188,
      0.0836566044069638,
      0.08231401710969452,
      0.08099169600260894,
      0.07968933371388068,
      0.07840662757168924,
      0.07714327951194977,
      0.07589899610420782,
      0.07467348837457213,
      0.0734664717212205,
      0.07227766595034714,
      0.07110679533759764,
      0.0699535881078212,
      0.06881777676872682,
      0.06769909807205995,
      0.0665972927708475,
      0.06551210544222226,
      0.06444328450211599,
      0.06339058234878729,
      0.062353755180447216,
      0.061332562750628504,
      0.0603267686647691,
      0.05933614003886964,
      0.058360447556183526,
      0.057399465435052026,
      0.05645297137492684,
      0.05552074647143655,
      0.05460257504483516,
      0.05369824468111888,
      0.052807546301406105,
      0.05193027390951002,
      0.05106622472990901,
      0.05021519909047156,
      0.04937700025323916,
      0.04855143452359253,
      0.047738311119456193,
      0.04693744214377508,
      0.046148642574397054,
      0.04537173023297851,
      0.044606525713499524,
      0.04385285234401172,
      0.0431105360822714,
      0.04237940552297816,
      0.04165929186124762,
      0.04095002883389833,
      0.04025145273127582,
      0.03956340231962698,
      0.038885718764004935,
      0.03821824567452267,
      0.03756082902199599,
      0.03691331714863315,
      0.036275560673253306,
      0.035647412462643004,
      0.03502872762071106,
      0.03441936345157069,
      0.03381917930378022,
      0.03322803678185962,
      0.03264579954658207,
      0.03207233327591219,
      0.03150750573232101,
      0.030951186698113572,
      0.030403247963245325,
      0.02986356320619908,
      0.029332008028635233,
      0.02880845980647836,
      0.02829279776411788,
      0.02778490313259773,
      0.027284658805764445,
      0.02679194946155055,
      0.02630666148648837,
      0.025828683103934467,
      0.025357904134267747,
      0.02489421609170188,
      0.024437512090782307,
      0.023987686892735022,
      0.02354463679900924,
      0.023108259786211234,
      0.02267845522120297,
      0.022255124065343256,
      0.021838168798513174,
      0.021427493444457896,
      0.021023003315788106,
      0.020624605190520052,
      0.020232207284107864,
      0.019845719163396395,
      0.019465051825336026,
      0.01909011762162268,
      0.018720830099895513,
      0.018357104307747913,
      0.01799885638336504,
      0.017646003755092326,
      0.01729846517408472,
      0.016956160612197086,
      0.01661901125369389,
      0.016286939472655453,
      0.015959868757913134,
      0.015637723654607152,
      0.015320429971148556,
      0.015007914653895593,
      0.014700105729545066,
      0.014396932366545838,
      0.0140983246992286,
      0.013804213973757199,
      0.013514532482224095,
      0.013229213436927104,
      0.01294819112187771,
      0.012671400908952381,
      0.012398778959652504,
      0.012130262572861742,
      0.011865789868803971,
      0.011605299953625577,
      0.01134873282683139,
      0.011096029413211797,
      0.010847131488324209,
      0.01060198196801386,
      0.0103605242834473,
      0.01012270271207468,
      0.009888462451722483,
      0.009657749570778017,
      0.009430511025754073,
      0.00920669450391102,
      0.0089862485044474,
      0.008769122212722857,
      0.008555265587098633,
      0.008344629499813837,
      0.008137165340555266,
      0.007932825328374582,
      0.007731562432289026,
      0.007533330339442081,
      0.007338083330548091,
      0.007145776641347773,
      0.006956365892283469,
      0.006769807417115941,
      0.006586058301377229,
      0.006405076220357528,
      0.006226819591042896,
      0.006051247313441862,
      0.005878318921204967,
      0.0057079946134424905,
      0.005540235104976216,
      0.005375001860171686,
      0.005212256782539137,
      0.005051962504319736,
      0.004894082118806329,
      0.004738579239230621,
      0.004585418040297006,
      0.0044345632765473144,
      0.004285980214141833,
      0.004139634615328187,
      0.003995492737481825,
      0.003853521404434314,
      0.00371368797159286,
      0.0035759602296206905,
      0.0034403064751925734,
      0.0033066954883300835,
      0.0031750965051440525,
      0.0030454792373679415,
      0.0029178138231156646,
      0.0027920708178561654,
      0.0026682213652212683,
      0.0025462369500467413,
      0.0024260893372454154,
      0.002307751008225871,
      0.0021911946647085656,
      0.0020763935223343443,
      0.0019633211546400227,
      0.0018519515037438675,
      0.001742258930842387,
      0.0016342181155182098,
      0.0015278042553189296,
      0.001422992860298843,
      0.0013197598222442737,
      0.0012180812817028763,
      0.00111793382714513,
      0.0010192944220621253,
      0.0009221404289732147,
      0.000826449393439545,
      0.0007321994138447684,
      0.0006393687373428608,
      0.0005479359734985213,
      0.00045788009300029917,
      0.00036918029418102875,
      0.0002818161631703406,
      0.000195767580883588,
      0.00011101479033180313,
      2.7538319230784947e-05,
      -5.468114114119141e-05,
      -0.0001356625381240376,
      -0.00021542449389213496,
      -0.0002939853721440126,
      -0.00037136323584423454,
      -0.0004475759816835969,
      -0.0005226411050204154,
      -0.0005965757621541224,
      -0.0006693969967628034,
      -0.0007411216668063709,
      -0.0008117662817308302,
      -0.0008813470610158544,
      -0.0009498800614350004,
      -0.0010173810491500089,
      -0.001083865606145464,
      -0.0011493490069921408,
      -0.001213846259759347,
      -0.001277372285784585,
      -0.0013399417174001574,
      -0.0014015689617685395,
      -0.0014622681429332742,
      -0.0015220532654073643,
      -0.0015809381228898958,
      -0.0016389362314763846,
      -0.0016960609209601839,
      -0.001752325374475505,
      -0.0018077425974727277,
      -0.001862325271665606,
      -0.001916085944643543,
      -0.0019690370983083795,
      -0.0020211908861176935,
      -0.0020725593398926473,
      -0.002123154359863474,
      -0.0021729874686366073,
      -0.002222070136451869,
      -0.002270413654353957,
      -0.0023180291531507613,
      -0.002364927672561592,
      -0.0024111199881066644,
      -0.0024566166791000757,
      -0.002501428240071408,
      -0.0025455649629021297,
      -0.0025890370154298004,
      -0.0026318544623011773
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566568743551374,
      10.335565361037423,
      10.096112612768616,
      9.851368730128684,
      9.603892353716464,
      9.355927827793238,
      9.109429724569269,
      8.866033268842042,
      8.627034784110107,
      8.393384703283326,
      8.165720759103625,
      7.9443982636732144,
      7.729519957875416,
      7.5209677612759,
      7.318455983020192,
      7.121582641843119,
      6.929870338802396,
      6.742803712272464,
      6.559863086882181,
      6.380547346261511,
      6.204394560366007,
      6.030985094840778,
      5.859950347283572,
      5.690995402713149,
      5.523902932015003,
      5.358532063090156,
      5.194820229668546,
      5.032787599309402,
      4.87251654722006,
      4.714152687025127,
      4.557912955035286,
      4.404089676378945,
      4.2530397846360986,
      4.105148362613164,
      3.960813427085408,
      3.8204292215654254,
      3.6843777243748863,
      3.553011472739751,
      3.4266387993855116,
      3.3055169356796767,
      3.189847503659688,
      3.0797743901970076,
      2.975379713353874,
      2.8766728845748144,
      2.7835884678179923,
      2.6959988113651576,
      2.6137366325546356,
      2.5365781732889605,
      2.464275274378149,
      2.396578371589733,
      2.333225520171252,
      2.2739184988990777,
      2.218330935647164,
      2.166093613088101,
      2.116832337176847,
      2.0701936411203214,
      2.0258560337410505,
      1.9835287053118535,
      1.9429656877297976,
      1.9039624175859937,
      1.8663574150465545,
      1.8300204221554628,
      1.7948420887801462,
      1.7607259050036497,
      1.727592663805417,
      1.6953775763654486,
      1.6640263947403406,
      1.6334926791210564,
      1.6037358664461172,
      1.5747200025614312,
      1.546412789455057,
      1.5187836682098919,
      1.4918021672814066,
      1.465440522615348,
      1.4396736497800318,
      1.41447864191153,
      1.389834904019561,
      1.3657241095739034,
      1.3421293974063842,
      1.3190343810029486,
      1.2964231646325877,
      1.2742803992754805,
      1.252591308215443,
      1.2313426002478585,
      1.2105229315936985,
      1.190120954912223,
      1.1701252218502707,
      1.150525312750604,
      1.1313129779769902,
      1.1124805694964452,
      1.094020018863836,
      1.0759231722216316,
      1.0581815052483476,
      1.0407862521093467,
      1.0237286070311418,
      1.0069998524704593,
      0.9905914383941291,
      0.9744950301561314,
      0.9587025353884139,
      0.9432061168272027,
      0.9279981966411492,
      0.9130714549052853,
      0.8984188248946927,
      0.8840334853622615,
      0.869908852545479,
      0.8560385713273948,
      0.8424165064436944,
      0.8290367324802994,
      0.8158935259749568,
      0.8029813561142796,
      0.7902948766133878,
      0.7778289174420319,
      0.7655784774970229,
      0.753538717485885,
      0.741704952635332,
      0.7300726463102141,
      0.7186374034606466,
      0.7073949653057348,
      0.696341203198962,
      0.6854721133288387,
      0.6747838116939108,
      0.6642725292193943,
      0.6539346071359027,
      0.6437664925574815,
      0.6337647222947049,
      0.6239258743528524,
      0.6142466225537301,
      0.6047237568840389,
      0.5953541710194525,
      0.5861348535280562,
      0.5770628806251838,
      0.5681354110515949,
      0.5593496812094595,
      0.5507030013337662,
      0.5421927520564325,
      0.5338163817853947,
      0.5255714039498129,
      0.5174554199971774,
      0.5094661141457504,
      0.5016012993722889,
      0.4938591630106752,
      0.48623789338406437,
      0.4787355821790367,
      0.4713502745802612,
      0.4640800016462703,
      0.45692280059891116,
      0.4498767277393835,
      0.44293986664303353,
      0.43611033271723354,
      0.42938627611017266,
      0.4227658830178906,
      0.4162473762206475,
      0.4098287596003334,
      0.40350801228383054,
      0.39728388797361924,
      0.391155162369866,
      0.38512049301103485,
      0.379178470679874,
      0.37332765305490784,
      0.3675665866353414,
      0.3618938207383784,
      0.35630800780759914,
      0.3508080316397384,
      0.3453927295228264,
      0.3400608681592804,
      0.33481117725890386,
      0.32964237124169743,
      0.3245531090095344,
      0.31954182774625617,
      0.31460700329218044,
      0.3097473293641101,
      0.3049616133508813,
      0.30024867497468116,
      0.29560734989172976,
      0.291036503679935,
      0.28653503357920324,
      0.2821018481984216,
      0.2777358683689302,
      0.2734360295248718,
      0.26920128295552415,
      0.2650305967634096,
      0.2609229560886431,
      0.2568773632659157,
      0.2528929085138447,
      0.2489690382270387,
      0.24510521527623405,
      0.24130076405152387,
      0.23755492287047208,
      0.23386687821117597,
      0.23023578765502603,
      0.22666079460382174,
      0.22314103818618358,
      0.219675659919116,
      0.21626380769794626,
      0.21290463870961016,
      0.20959732096314965,
      0.20634100839514324,
      0.20313478222268114,
      0.19997775668802806,
      0.1968690934321542,
      0.19380799004227175,
      0.19079367205832112,
      0.18782538746760635,
      0.18490240338877473,
      0.18202400345692885,
      0.17918948613035604,
      0.17639816331549918,
      0.1736493596875711,
      0.17094241183247288,
      0.16827666797902874,
      0.16565148741020674,
      0.16306624016968302,
      0.16052030674472628,
      0.15801307791582722,
      0.15554395455061995,
      0.15311234719551747,
      0.15071767605587028,
      0.14835937076636607,
      0.14603687016234987,
      0.14374962223529902,
      0.14149708368799538,
      0.13927872005494984,
      0.1370940054343063,
      0.13494242245491617,
      0.13282346192462843,
      0.1307366228461341,
      0.12868141214574225,
      0.12665734458466327,
      0.1246639427452079,
      0.12270073668444076,
      0.12076726389078862,
      0.11886306920658259,
      0.11698770468440092,
      0.11514072934532538,
      0.11332170911183737,
      0.11153021690297427,
      0.10976583223637823,
      0.10802814122090551,
      0.10631673656422783,
      0.10463121729033471,
      0.10297118875150425,
      0.10133626235574446,
      0.09972605557533046,
      0.09814019181006237,
      0.09657830041064654,
      0.09504001640377734,
      0.09352498058046127,
      0.09203283934276071,
      0.0905632444872865,
      0.08911585324929848,
      0.08769032811036491,
      0.08628633685394999,
      0.08490355235312956,
      0.08354165250912692,
      0.08220032021441086,
      0.08087924327266252,
      0.07957811431728823,
      0.07829663075621299,
      0.07703449447950275,
      0.07579141205698325,
      0.07456709459244251,
      0.07336125754107369,
      0.0721736208153799,
      0.07100390863075635,
      0.06985184949066997,
      0.06871717594862638,
      0.06759962467140118,
      0.0664989363642979,
      0.06541485573066057,
      0.06434713141695855,
      0.06329551580716165,
      0.06225976514578544,
      0.061239639363200704,
      0.06023490199452625,
      0.059245320257493544,
      0.05827066501744525,
      0.057310710374194246,
      0.056365234068942616,
      0.05543401718893683,
      0.05451684416811029,
      0.05361350271389058,
      0.052723783816619484,
      0.05184748156407811,
      0.05098439321946098,
      0.05013431916134928,
      0.049297062717970144,
      0.048472430168203275,
      0.04766023083674067,
      0.0468602769269007,
      0.0460723835267471,
      0.0452963685496704,
      0.04453205258084455,
      0.043779259007309924,
      0.04303781380229176,
      0.04230754568230709,
      0.04158828587044413,
      0.04087986820663884,
      0.040182128974957224,
      0.039494906972702346,
      0.03881804356346565,
      0.038151382450692495,
      0.037494769546087194,
      0.03684805334584871,
      0.03621108446088647,
      0.03558371577596663,
      0.03496580248985006,
      0.034357201954648114,
      0.033757773685703374,
      0.03316737929999019,
      0.0325858825075233,
      0.03201314908188038,
      0.03144904687074914,
      0.03089344570593864,
      0.030346217366116097,
      0.029807235552979913,
      0.029276376027732764,
      0.028753516272020527,
      0.028238535498924903,
      0.02773131501442145,
      0.027231737785223722,
      0.026739688502764213,
      0.02625505373048731,
      0.02577772167014381,
      0.025307582099727242,
      0.02484452669340427,
      0.024388448610042704,
      0.023939242711788575,
      0.02349680538774028,
      0.02306103460662301,
      0.022631829829226385,
      0.022209092015645915,
      0.021792723708366813,
      0.021382628898755324,
      0.02097871307743691,
      0.020580883099664146,
      0.020189047195819834,
      0.01980311511465131,
      0.01942299777604072,
      0.019048607641102368,
      0.018679858305517973,
      0.01831666471462562,
      0.01795894319257777,
      0.017606611311989803,
      0.0172595877679906,
      0.016917792638565073,
      0.01658114698851728,
      0.01624957326016327,
      0.015922995032703738,
      0.015601337028180489,
      0.015284525178931573,
      0.014972486489996715,
      0.01466514891825222,
      0.014362441656319919,
      0.014064294931100535,
      0.01377064005477315,
      0.01348140926992222,
      0.0131965358718939,
      0.012915954246200194,
      0.012639599840335606,
      0.012367408878633373,
      0.012099318627580888,
      0.011835267283305573,
      0.011575194040888736,
      0.01131903891946845,
      0.011066742870623937,
      0.010818247767632802,
      0.01057349631354904,
      0.010332432083538,
      0.010094999550817232,
      0.009861144034341516,
      0.009630811509704115,
      0.009403948976008556,
      0.009180504171558709,
      0.008960425591591655,
      0.008743662540574177,
      0.008530165098623976,
      0.00831988404031021,
      0.008112770946785768,
      0.007908778028455202,
      0.00770785830010181,
      0.007509965371097831,
      0.007315053651221109,
      0.007123078241956376,
      0.006933994957482751,
      0.006747760125724523,
      0.00656433092593363,
      0.006383665004245285,
      0.0062057207592587284,
      0.006030457261489286,
      0.005857834111676632,
      0.005687811574913305,
      0.005520350513792279,
      0.005355412202894389,
      0.005192958647776315,
      0.005032952384551349,
      0.004875356574963203,
      0.004720134937993764,
      0.0045672516519605025,
      0.004416671468399893,
      0.004268359828007316,
      0.004122282528018066,
      0.0039784058168606876,
      0.003836696573401832,
      0.0036971221896943633,
      0.0035596504428562965,
      0.0034242496422187104,
      0.00329088867031382,
      0.003159536752575377,
      0.0030301635463979197,
      0.002902739340285474,
      0.0027772347015548333,
      0.0026536207426799503,
      0.002531869046036261,
      0.002411951514242584,
      0.0022938405014203637,
      0.002177508793877702,
      0.002062929573140976,
      0.0019500764824702092,
      0.001838923459771867,
      0.0017294449089028303,
      0.0016216156436087755,
      0.0015154107442298696,
      0.0014108057905287503,
      0.0013077766449830707,
      0.0012062996698358698,
      0.0011063514305820856,
      0.0010079089540159653,
      0.0009109494470908376,
      0.0008154506592087411,
      0.0007213905210664306,
      0.0006287474018187233,
      0.0005374999604330158,
      0.0004476270172236457,
      0.0003591079418373855,
      0.0002719223300325286,
      0.00018605018474754836,
      0.00010147174201584081,
      1.816744431438543e-05,
      -6.388196452242803e-05,
      -0.0001446953175566035,
      -0.0002242912069626639,
      -0.00030268800608021105,
      -0.00037990376983597243,
      -0.00045595622286756586,
      -0.0005308629690662151,
      -0.0006046413127016852,
      -0.0006773082562511081,
      -0.0007488804335918984,
      -0.000819374461651655,
      -0.0008888065220287196,
      -0.0009571926155558235,
      -0.0010245484723258485,
      -0.0010908895371092556,
      -0.0011562312017689886,
      -0.0012205885412951765,
      -0.0012839763157414881,
      -0.0013464091362994281,
      -0.0014079015098877234,
      -0.0014684675589522198,
      -0.001528121185260247,
      -0.0015868761624120483,
      -0.0016447460246171984,
      -0.001701744113454168,
      -0.0017578835093538011,
      -0.0018131771529549291,
      -0.0018676378068739966,
      -0.0019212781058541154,
      -0.0019741102945563015,
      -0.0020261465491911864,
      -0.002077398859994189,
      -0.002127879122874761,
      -0.002177598925192937,
      -0.002226569654861275,
      -0.0022748026787267686,
      -0.002322309113605067,
      -0.002369099876327377,
      -0.00241518576472494,
      -0.002460577334631388,
      -0.0025052850495443932,
      -0.0025493193343410665,
      -0.002592690285431772,
      -0.0026354078503764444
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566566538351179,
      10.33555541587175,
      10.09608965870608,
      9.851327931598792,
      9.60383000979573,
      9.355841431864752,
      9.109317749056139,
      8.865894928874575,
      8.62687001616697,
      8.393194179361048,
      8.165505270686536,
      7.944158584453625,
      7.7292566287704085,
      7.520680886616447,
      7.318145587678864,
      7.121248712761333,
      6.929512848550623,
      6.742422685735839,
      6.559458709624374,
      6.3801198996266955,
      6.203944452263569,
      6.0305130000156,
      5.859457149648448,
      5.690482158272482,
      5.523370949418154,
      5.3579829082839066,
      5.194255721917717,
      5.032209735840203,
      4.871927515850231,
      4.7135549846237454,
      4.5573093307942285,
      4.4034835556117775,
      4.252434854731806,
      4.1045483016048125,
      3.9602218181045807,
      3.8198495487832025,
      3.6838133629742735,
      3.5524654581188795,
      3.4261137821391423,
      3.30501514912725,
      3.1893707469166994,
      3.079324021935184,
      2.974956589630593,
      2.876277276575164,
      2.7832200702523906,
      2.6956567550959605,
      2.6134194366306382,
      2.5362839147635166,
      2.464001881163713,
      2.3963236567007695,
      2.332987172881494,
      2.273694083047079,
      2.218117806933682,
      2.165888902556663,
      2.116633413048367,
      2.069998133925315,
      2.025661846242513,
      1.9833341046963056,
      1.9427693416590066,
      1.9037633548464405,
      1.8661549477739277,
      1.8298140635979208,
      1.7946314834385617,
      1.7605108197081059,
      1.7273729673404357,
      1.6951532095801873,
      1.6637973489432498,
      1.6332589811285487,
      1.6034975682809385,
      1.574477155067325,
      1.5461654529891027,
      1.5185319465794254,
      1.4915461752606498,
      1.465180369290741,
      1.4394094394490247,
      1.4142104869360006,
      1.3895629316347722,
      1.3654484501397937,
      1.3418501733271848,
      1.3187517023050574,
      1.2961371324102207,
      1.2739911077439667,
      1.2522988466909448,
      1.2310472007938384,
      1.21022483694227,
      1.1898203510278886,
      1.1698222558213354,
      1.150220320512094,
      1.1310063032977216,
      1.1121724769926515,
      1.093710711153795,
      1.0756128039699284,
      1.0578701946615883,
      1.0404740931457745,
      1.0234156769457012,
      1.0066862171447428,
      0.9902771558139889,
      0.9741801528039944,
      0.9583871122655293,
      0.9428901945493934,
      0.927681819711065,
      0.9127546666364773,
      0.8981016670051165,
      0.8837159987292196,
      0.8695910775450426,
      0.8557205474553797,
      0.8420982720807069,
      0.8287183257674244,
      0.8155749846144517,
      0.8026627170607642,
      0.789976175909846,
      0.7775101906831182,
      0.7652597601071763,
      0.7532200440999067,
      0.7413863573359354,
      0.7297541626796198,
      0.7183190647009176,
      0.7070768037160262,
      0.6960232505599252,
      0.6851544009997004,
      0.6744663704477996,
      0.6639553890714234,
      0.653617797722469,
      0.6434500428219162,
      0.6334486598093693,
      0.6236102250116587,
      0.6139314125195172,
      0.604409012087948,
      0.5950399173156675,
      0.5858211165634972,
      0.5767496856523511,
      0.567822782683985,
      0.559037643627981,
      0.5503915782833626,
      0.5418819669126285,
      0.5335062574113362,
      0.5252619647597808,
      0.5171466992386915,
      0.5091581431402383,
      0.5012941665539922,
      0.49355297985145546,
      0.48593273710893403,
      0.478431507542632,
      0.47104732159065976,
      0.4637782002320846,
      0.4566221740424535,
      0.4495772949126432,
      0.4426416434355602,
      0.43581333309331477,
      0.42909051241744783,
      0.4224713666175353,
      0.4159541175248817,
      0.4095368421641391,
      0.4032176208164553,
      0.39699518427628144,
      0.39086825191016694,
      0.38483544426886246,
      0.3788953275910696,
      0.3730464434973087,
      0.3672873277497743,
      0.36161652250292053,
      0.35603270306814844,
      0.350534751669667,
      0.345121492546709,
      0.3397916840011959,
      0.33454405011234706,
      0.3293773015256448,
      0.3242900947754089,
      0.31928086583122745,
      0.3143480961358955,
      0.3094904876668863,
      0.30470684160250494,
      0.29999597356456775,
      0.2953567164869639,
      0.290787935646652,
      0.28628852711857783,
      0.28185739795973264,
      0.27749346802108565,
      0.2731956718009149,
      0.2689629603148374,
      0.2647943013253997,
      0.26068867972907017,
      0.25664509754486536,
      0.2526626547607468,
      0.2487408114405087,
      0.24487902166311595,
      0.24107660417377094,
      0.2373327933917001,
      0.2336467730804541,
      0.2300176988971022,
      0.22644471312606645,
      0.2229269541347654,
      0.21946356282733978,
      0.21605368674552652,
      0.21269648273765096,
      0.20939111865178586,
      0.20613674388553074,
      0.20293243926949753,
      0.19977732059441067,
      0.19667055070067407,
      0.1936113277749701,
      0.1905988777141596,
      0.18763244896409392,
      0.1847113088098698,
      0.18183474091337545,
      0.17900204370861644,
      0.17621252924185668,
      0.17346552227531323,
      0.1707603594676695,
      0.1680963889462718,
      0.16547296997200994,
      0.16288947257499642,
      0.16034527733216525,
      0.15783977496226623,
      0.15537236618268432,
      0.15294246153521643,
      0.15054948135910434,
      0.14819285519908723,
      0.14587202183024547,
      0.14358642915558936,
      0.1413355339638316,
      0.13911880192879417,
      0.13693570719534712,
      0.1347857322634118,
      0.13266836801066487,
      0.13058311342212509,
      0.12852947542641016,
      0.12650696880055942,
      0.12451511597128298,
      0.122553447055756,
      0.1206214997164772,
      0.11871881868963027,
      0.11684495596532521,
      0.11499947072961567,
      0.11318192899901199,
      0.11139190366460247,
      0.10962897437379768,
      0.10789272721146533,
      0.10618275481530251,
      0.10449865624566015,
      0.1028400368700143,
      0.10120650812220564,
      0.09959768754907634,
      0.09801319857822385,
      0.09645267055418925,
      0.09491573874962385,
      0.09340204386256647,
      0.09191123228281903,
      0.0904429558815703,
      0.08899687190266511,
      0.08757264299950324,
      0.08616993689655658,
      0.08478842644384232,
      0.08342778967951675,
      0.08208770943371899,
      0.08076787361103249,
      0.07946797491179568,
      0.07818771072641278,
      0.0769267831639541,
      0.0756848988050499,
      0.07446176877912172,
      0.0732571086704793,
      0.07207063844354653,
      0.07090208231713627,
      0.06975116879410641,
      0.06861763046771724,
      0.06750120412633166,
      0.06640163049473687,
      0.06531865430783744,
      0.06425202421151198,
      0.06320149268093934,
      0.0621668160229673,
      0.06114775428459993,
      0.060144071089183834,
      0.059155533641770425,
      0.05818191273825241,
      0.057222982775077647,
      0.05627852152107755,
      0.05534831009271587,
      0.05443213298002886,
      0.05352977794191069,
      0.05264103608231316,
      0.051765701532036065,
      0.05090357150087009,
      0.05005444641808087,
      0.04921812973153161,
      0.04839442793174217,
      0.04758315035174098,
      0.04678410929266319,
      0.04599711983609479,
      0.04522199979746351,
      0.04445856996639811,
      0.04370665377312779,
      0.04296607732763952,
      0.04223666930358942,
      0.04151826101941763,
      0.04081068639634603,
      0.04011378177321044,
      0.039427386125335064,
      0.03875134076843242,
      0.03808548941491791,
      0.03742967820140349,
      0.036783755540952215,
      0.036147572117528295,
      0.03552098098152684,
      0.03490383732658963,
      0.034295998570958275,
      0.03369732426543215,
      0.033107676098903555,
      0.032526917829500054,
      0.03195491535086301,
      0.03139153662652308,
      0.030836651454442893,
      0.030290131721897814,
      0.02975185123587604,
      0.02922168557375504,
      0.02869951232861909,
      0.028185210955573792,
      0.02767866271392967,
      0.02717975064840889,
      0.026688359653596734,
      0.026204376208368067,
      0.02572768851729979,
      0.025258186563272302,
      0.024795761995072642,
      0.024340308085302468,
      0.023891719681952483,
      0.023449893216616807,
      0.023014726731872145,
      0.022586119730342493,
      0.022163973321973784,
      0.021748190212453916,
      0.021338674373001774,
      0.0209353313070525,
      0.02053806787099797,
      0.0201467924312717,
      0.019761414594253308,
      0.01938184552036821,
      0.01900799762691891,
      0.018639784684062497,
      0.01827712169958054,
      0.017919924948539105,
      0.017568112122267547,
      0.01722160192952706,
      0.016880314477908522,
      0.016544171049399772,
      0.01621309413588993,
      0.015887007249555274,
      0.015565835208523407,
      0.01524950391192071,
      0.014937940418517403,
      0.014631072756170455,
      0.014328830180371874,
      0.014031142992414506,
      0.013737942475779027,
      0.013449160995927656,
      0.01316473200850464,
      0.01288458992567756,
      0.012608670024335362,
      0.012336908707508431,
      0.012069243312197966,
      0.011805612035346816,
      0.011545954117858229,
      0.011290209631387237,
      0.011038319624436051,
      0.010790225903711304,
      0.010545871298220136,
      0.010305199445883007,
      0.010068154820664747,
      0.009834682782022205,
      0.009604729404924697,
      0.00937824172002919,
      0.009155167461245214,
      0.008935455236093648,
      0.008719054374845055,
      0.008505914929063605,
      0.0082959877109521,
      0.00808922442476511,
      0.007885577305472308,
      0.007684999395787749,
      0.007487444393680473,
      0.007292866712480999,
      0.007101221550013452,
      0.0069124646936490125,
      0.00672655263946481,
      0.0065434424789240974,
      0.00636309190838887,
      0.006185459381220601,
      0.006010503951196684,
      0.005838185251601232,
      0.005668463565898586,
      0.005501299735496398,
      0.0053366552540646105,
      0.005174492167325411,
      0.005014773032269689,
      0.0048574609673874385,
      0.004702519781383343,
      0.004549913748454928,
      0.0043996076016868365,
      0.004251566719085177,
      0.004105756898547713,
      0.003962144592545682,
      0.003820696611061882,
      0.003681380296761429,
      0.00354416352388508,
      0.003409014750431563,
      0.0032759028242294493,
      0.003144797026056306,
      0.003015667050842368,
      0.002888483162284781,
      0.0027632160760965975,
      0.002639836819616492,
      0.002518316987017302,
      0.002398628640502572,
      0.002280744156137718,
      0.002164636338053375,
      0.0020502782925892714,
      0.0019376436471834466,
      0.0018267064913287116,
      0.0017174412493063422,
      0.001609822713601065,
      0.0015038260984847518,
      0.0013994269362575071,
      0.001296601178555305,
      0.0011953250383387223,
      0.00109557515084834,
      0.0009973285836875907,
      0.000900562721310575,
      0.0008052552018467348,
      0.0007113840136210847,
      0.0006189275297325047,
      0.0005278645056726266,
      0.00043817386883682245,
      0.0003498348839379728,
      0.0002628271731561041,
      0.0001771307254579351,
      9.272576053715863e-05,
      9.592880363591216e-06,
      -7.228702620115189e-05,
      -0.0001529328773437397,
      -0.00023236339640165512,
      -0.00031059680999629254,
      -0.00038765111685998743,
      -0.00046354419013420133,
      -0.0005382935295943173,
      -0.0006119162986153897,
      -0.000684429518636182,
      -0.0007558499451706699,
      -0.0008261940000920805,
      -0.0008954778614968614,
      -0.0009637175017866888,
      -0.0010309287631026013,
      -0.0010971270886423073,
      -0.0011623277615309502,
      -0.0012265459076011942,
      -0.0012897963128899494,
      -0.0013520935581566597,
      -0.001413451891519261,
      -0.00147388550090598,
      -0.0015334083786874867,
      -0.0015920342050499002,
      -0.001649776401404327,
      -0.0017066483806908019,
      -0.0017626632433863755,
      -0.0018178338738264212,
      -0.0018721730033765345,
      -0.0019256931840298298,
      -0.0019784068186038265,
      -0.00203032605680624,
      -0.0020814628429493024,
      -0.0021318289310186603,
      -0.002181435962696217,
      -0.0022302953793287396,
      -0.002278418422398513,
      -0.0023258162349324716,
      -0.0023724997780585925,
      -0.0024184797530562964,
      -0.0024637667961790455,
      -0.002508371297629356,
      -0.0025523035569698185,
      -0.0025955736200122025,
      -0.002638191508958347
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566564345764915,
      10.335545530997953,
      10.096066823140555,
      9.851287309995138,
      9.603767905009517,
      9.355755338573562,
      9.10920614179345,
      8.865757023196942,
      8.626705748426488,
      8.393004219407421,
      8.165290407231964,
      7.943919588750371,
      7.728993955776798,
      7.52039465434546,
      7.317835831692696,
      7.120915431815521,
      6.9291560240932,
      6.742042349647876,
      6.559055045337068,
      6.379693195452202,
      6.203495123567075,
      6.030041729126061,
      5.858964825040904,
      5.68996983849117,
      5.522839946129343,
      5.357434789347031,
      5.193692307838841,
      5.031633024080095,
      4.871339693113933,
      4.712958547423457,
      4.556707031345246,
      4.402878820640807,
      4.251831366457494,
      4.103949731236704,
      3.959631740896429,
      3.819271441940629,
      3.6832505945757497,
      3.551921055709562,
      3.425590388448914,
      3.3045149902508975,
      3.18889561380598,
      3.078875265934694,
      2.9745350614609065,
      2.875883242155879,
      2.7828532192500117,
      2.695316216983067,
      2.6131037297702364,
      2.5359911157459,
      2.463729916993035,
      2.3960703403917774,
      2.332750195579723,
      2.2734710119137813,
      2.217905997218748,
      2.165685491904357,
      2.116435775221499,
      2.069803904876464,
      2.0254689272314037,
      1.9831407623475916,
      1.9425742485122892,
      1.9035655446773743,
      1.865953736559866,
      1.8296089669916564,
      1.794422148351906,
      1.7602970136795006,
      1.7271545594545619,
      1.6949301406271715,
      1.6635696107780609,
      1.6330266014638843,
      1.6032605993159343,
      1.5742356483217417,
      1.5459194692316522,
      1.5182815895094226,
      1.491291559227242,
      1.464921602993286,
      1.4391466273433724,
      1.413943741832641,
      1.3892923794723557,
      1.3651742203201476,
      1.3415723883450126,
      1.3184704723579141,
      1.295852558945045,
      1.2737032853056485,
      1.2520078645448098,
      1.2307532912832853,
      1.2099282425442803,
      1.1895212576791379,
      1.1695208102995132,
      1.1499168573428789,
      1.1307011659776272,
      1.1118659296272684,
      1.0934029560685745,
      1.0753039957011041,
      1.0575604515013948,
      1.040163508536549,
      1.0231043277853074,
      1.006374169012474,
      0.9899644669036474,
      0.9738668761621553,
      0.9580732968979284,
      0.9425758867182839,
      0.9273670641718821,
      0.9124395061872274,
      0.8977861433998865,
      0.883400152871715,
      0.8692749492164591,
      0.8554041761022626,
      0.8417816967820952,
      0.8284015846862061,
      0.8152581150509098,
      0.8023457558032365,
      0.7896591593232802,
      0.7771931545613731,
      0.7649427393649033,
      0.7529030733720877,
      0.7410694707304881,
      0.7294373934206342,
      0.7180024455268185,
      0.70676036704122,
      0.6957070282985699,
      0.6848384244839686,
      0.6741506703386743,
      0.6636399955154905,
      0.6533027402474849,
      0.6431353507333801,
      0.6331343607240969,
      0.6232963446260259,
      0.6136179768599335,
      0.6040960471617943,
      0.5947274488331483,
      0.5855091699836503,
      0.5764382860707606,
      0.5675119546125513,
      0.5587274110726291,
      0.550081964866429,
      0.5415729958112663,
      0.5331979512384284,
      0.5249543512115081,
      0.5168398131487317,
      0.5088520138417829,
      0.5009888969654671,
      0.49324867477895123,
      0.4856294693862836,
      0.4781293290245785,
      0.470746270331176,
      0.46347830494090037,
      0.4563234573862564,
      0.44927977544271974,
      0.4423453366828347,
      0.43551825257338866,
      0.42879667029303703,
      0.4221787737927887,
      0.41566278421509417,
      0.4092468483969332,
      0.40292915247431826,
      0.3967084036911453,
      0.39058326502568547,
      0.3845523195547352,
      0.3786141090972593,
      0.372767159034198,
      0.3670099944629115,
      0.36134115026890107,
      0.3557593245749902,
      0.35026339806425544,
      0.3448521823139397,
      0.339524426912709,
      0.33427885027629417,
      0.32911415938164357,
      0.32402900844973115,
      0.3190218322905377,
      0.3140911179020405,
      0.3092355757294688,
      0.3044540005539102,
      0.2997452038374648,
      0.2951080154775826,
      0.2905413005800985,
      0.28604395415814704,
      0.2816148818198096,
      0.27725300227156047,
      0.27295724947051175,
      0.26872657372704184,
      0.26455994232412067,
      0.2604563399390327,
      0.2564147684891999,
      0.2524343376272788,
      0.24851452107027666,
      0.24465476425366445,
      0.24085438004393495,
      0.23711259893065575,
      0.23342860219720285,
      0.22980154372132247,
      0.22623056453550547,
      0.2227148022126837,
      0.21925339704839086,
      0.21584549627299204,
      0.21249025637428948,
      0.20918684506839705,
      0.20593440719137415,
      0.20273202324103357,
      0.19957881059731103,
      0.1964739331246302,
      0.1934165897256236,
      0.19040600675783917,
      0.18744143291149298,
      0.18452213562692196,
      0.18164739875927793,
      0.17881652073174947,
      0.17602881373138793,
      0.17328360243071428,
      0.1705802235361521,
      0.16791802522618393,
      0.1652963666311702,
      0.1627146178815137,
      0.16017215936316004,
      0.15766838179497839,
      0.15520268604663284,
      0.15277448275443556,
      0.15038319196995237,
      0.14802824336789203,
      0.1457090757618807,
      0.14342513708456964,
      0.1411758840688455,
      0.13896078227188985,
      0.1367793058446596,
      0.13463093739642218,
      0.13251516773766805,
      0.13043149583162278,
      0.12837942872565872,
      0.12635848122050533,
      0.12436817583064697,
      0.12240804258324453,
      0.12047761912043177,
      0.11857645027818925,
      0.11670408810763334,
      0.11486009164524867,
      0.11304402707457148,
      0.11125546722987976,
      0.10949399170029983,
      0.10775918668208888,
      0.10605064487795302,
      0.10436796534782111,
      0.10271075344410566,
      0.10107862071054753,
      0.09947118472524251,
      0.09788806902153305,
      0.09632890302226062,
      0.09479332180946264,
      0.09328096619974327,
      0.09179148266711913,
      0.09032452310124617,
      0.08887974475579757,
      0.08745681017711737,
      0.0860553873169066,
      0.08467514915163302,
      0.08331577364363722,
      0.08197694378067245,
      0.08065834750836735,
      0.0793596775697875,
      0.07808063135835949,
      0.07682091099397592,
      0.07558022313942483,
      0.07435827887754849,
      0.07315479387795171,
      0.07196948809009203,
      0.07080208590381534,
      0.06965231583591114,
      0.06851991063580784,
      0.06740460710087867,
      0.06630614612974792,
      0.06522427243076326,
      0.0641587347409438,
      0.06310928549607761,
      0.06207568111630468,
      0.061057681644303134,
      0.06005505081073955,
      0.05906755589665565,
      0.058094967886166415,
      0.05713706114275158,
      0.05619361338455596,
      0.05526440580562359,
      0.054349222974869375,
      0.05344785274753632,
      0.05256008626554627,
      0.05168571766458938,
      0.05082454436195357,
      0.04997636678382926,
      0.04914098835887795,
      0.048318215685040675,
      0.047507858177150815,
      0.04670972820554245,
      0.045923640905574006,
      0.04514941427753898,
      0.044386869026597144,
      0.04363582861726184,
      0.04289611925522391,
      0.042167569736587446,
      0.04145001135146035,
      0.040743278134483946,
      0.04004720653998074,
      0.03936163555953769,
      0.03868640654989709,
      0.03802136341997874,
      0.03736635224560278,
      0.036721221563612655,
      0.036085822029498844,
      0.03546000679926017,
      0.03484363113168078,
      0.03423655247594672,
      0.03363863055828679,
      0.03304972695850848,
      0.032469705629384116,
      0.031898432533779955,
      0.03133577561802825,
      0.03078160475421914,
      0.03023579191903636,
      0.02969821098013468,
      0.029168737616793453,
      0.02864724945764339,
      0.028133625996825222,
      0.02762774855581551,
      0.02712950028997387,
      0.026638766031021437,
      0.02615543242824101,
      0.025679387740495926,
      0.02521052197195361,
      0.02474872680433268,
      0.024293895580263174,
      0.023845923223190815,
      0.023404706309742774,
      0.022970142881277526,
      0.02254213255379129,
      0.02212057644930611,
      0.02170537729880457,
      0.02129643911864375,
      0.02089366741996187,
      0.0204969691567613,
      0.020106252768696577,
      0.01972142805796015,
      0.01934240608391042,
      0.018969099368409726,
      0.018601421718262536,
      0.01823928823771719,
      0.01788261521187816,
      0.01753132026873853,
      0.017185322329769163,
      0.016844541483258185,
      0.01650889895723586,
      0.016178317332513216,
      0.01585272029000684,
      0.015532032737982034,
      0.015216180593924086,
      0.01490509092035724,
      0.01459869190603651,
      0.014296912731019264,
      0.01399968372756258,
      0.013706936393501958,
      0.013418603091617791,
      0.013134617166318717,
      0.012854913070232255,
      0.012579426291662666,
      0.012308093260503614,
      0.012040851359921795,
      0.011777638807838482,
      0.011518394930126304,
      0.011263059801490415,
      0.011011574480480419,
      0.010763880911863493,
      0.010519921898537031,
      0.010279641212678424,
      0.010042983413296227,
      0.009809893851541386,
      0.009580318697903321,
      0.00935420492823392,
      0.009131500421103647,
      0.008912153575188713,
      0.008696113819246185,
      0.008483331343694502,
      0.008273757064325572,
      0.008067342563164407,
      0.007864040286548642,
      0.007663803282450787,
      0.007466585238454752,
      0.007272340669220918,
      0.007081024776221808,
      0.0068925933799034965,
      0.006707003013629901,
      0.006524210778461956,
      0.006344174575620386,
      0.006166852852193708,
      0.005992204565249553,
      0.005820189453461092,
      0.005650767834280919,
      0.005483900588457836,
      0.005319549216238075,
      0.0051576757753361195,
      0.00499824296121724,
      0.004841213915855502,
      0.004686552318594148,
      0.004534222498076128,
      0.004384189343095977,
      0.004236418196385689,
      0.004090874947963876,
      0.00394752598352543,
      0.003806338332835092,
      0.0036672793809256945,
      0.003530316988262335,
      0.0033954195428100697,
      0.003262555912135648,
      0.0031316954485256765,
      0.003002808040402714,
      0.002875863924153674,
      0.0027508337453844315,
      0.002627688628145632,
      0.0025064001825903658,
      0.0023869403424512468,
      0.002269281496779399,
      0.0021533965530822637,
      0.002039258907469391,
      0.0019268421175147824,
      0.0018161202502353264,
      0.0017070677164059737,
      0.0015996593356485268,
      0.00149387033309889,
      0.0013896762483190494,
      0.001287053093897235,
      0.0011859772038111342,
      0.0010864252298626329,
      0.0009883741259658148,
      0.0008918013634569698,
      0.0007966847088214796,
      0.0007030020027620905,
      0.0006107317095229302,
      0.0005198525967728208,
      0.00043034363968617303,
      0.00034218420554691915,
      0.00025535391538005896,
      0.00016983277399056546,
      8.56010215184244e-05,
      2.639259330890407e-06,
      -7.907177883908181e-05,
      -0.00015955088895970766,
      -0.0002388165341560152,
      -0.00031688714619996307,
      -0.0003937807206845177,
      -0.00046951490047138255,
      -0.0005441072803549613,
      -0.000617575126234978,
      -0.0006899353156866814,
      -0.0007612044741680653,
      -0.0008313990912222813,
      -0.0009005353689932144,
      -0.0009686293174393073,
      -0.0010356966328265982,
      -0.0011017527530555382,
      -0.00116681298193468,
      -0.0012308922372797236,
      -0.0012940053450486398,
      -0.0013561668939933765,
      -0.0014173912930328634,
      -0.0014776926049220032,
      -0.0015370847733088395,
      -0.0015955815122220183,
      -0.0016531963343108297,
      -0.0017099425340625048,
      -0.0017658331889580093,
      -0.001820881223605914,
      -0.001875099326933951,
      -0.0019285000210994775,
      -0.0019810954942728037,
      -0.002032897928465223,
      -0.00208391929925239,
      -0.002134171422711497,
      -0.002183665976454986,
      -0.0022324143227867906,
      -0.0022804277251910667,
      -0.002327717201647785,
      -0.0023742937713655795,
      -0.0024201680845708762,
      -0.0024653508016528754,
      -0.0025098523230155764,
      -0.0025536829383728255,
      -0.002596852707824838,
      -0.0026393716224685244
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566562165996034,
      10.335535705704668,
      10.0960441083136,
      9.851246873677235,
      9.603706051051287,
      9.355669562773539,
      9.109094916965446,
      8.86561956267642,
      8.626541987311139,
      8.392814828181178,
      8.165076173860859,
      7.94368128544945,
      7.728731972323162,
      7.520109116198786,
      7.3175267814874205,
      7.120582873873844,
      6.928799945760373,
      6.741662788427087,
      6.558652184228919,
      6.3792673283712436,
      6.203046670041207,
      6.029571375116891,
      5.858473464244652,
      5.6894585337390176,
      5.522310011378717,
      5.356887794108441,
      5.1931300730958485,
      5.031057546609335,
      4.870753157482995,
      4.712363446675147,
      4.556106114301713,
      4.402275509702259,
      4.251229339839321,
      4.103352655926496,
      3.9590431876097694,
      3.818694881642623,
      3.682689388191094,
      3.551378223942166,
      3.4250685671226306,
      3.3040163988333004,
      3.188422036740315,
      3.0784280493320897,
      2.97411504580753,
      2.875490688986118,
      2.78248777955908,
      2.6949769899048106,
      2.612789187316825,
      2.5356993532861636,
      2.463458879554725,
      2.3958178563816768,
      2.3325139707590297,
      2.2732486279491946,
      2.217694824839908,
      2.165482683506286,
      2.1162387165013024,
      2.0696102418357167,
      2.0252765637117833,
      1.982947967246298,
      1.9423797049943263,
      1.9033682931738667,
      1.8657530975273138,
      1.8294044593216463,
      1.79421342049459,
      1.7600838346649126,
      1.7269367994577653,
      1.6947077417909935,
      1.6633425656089253,
      1.6327949372717394,
      1.6030243677113405,
      1.5739949023931328,
      1.54567426874665,
      1.5180320369901625,
      1.4910377689948688,
      1.4646636836501858,
      1.4388846826734139,
      1.4136778836556503,
      1.3890227336907879,
      1.3649009159842995,
      1.341295547335142,
      1.318190204147848,
      1.2955689642001973,
      1.2734164581388678,
      1.2517178942921832,
      1.2304604101502887,
      1.2096326927130454,
      1.1892232244824443,
      1.1692204408228164,
      1.1496144857556805,
      1.1303971349597102,
      1.1115605029734277,
      1.0930963351795744,
      1.0749963344894058,
      1.0572518677316505,
      1.0398540955236484,
      1.0227941623938586,
      1.0060633168823718,
      0.9896529858232379,
      0.9735548187634803,
      0.9577607120663792,
      0.9422628206858377,
      0.9270535609895096,
      0.912125608646453,
      0.8974718931314662,
      0.8830855905376581,
      0.8689601147968916,
      0.8550891086143236,
      0.8414664346014341,
      0.8280861659628215,
      0.8149425769981958,
      0.8020301349971518,
      0.7893434917892626,
      0.7768774759811238,
      0.764627084742205,
      0.7525874769442116,
      0.7407539662281255,
      0.7291220143200664,
      0.7176872245829546,
      0.7064453364481911,
      0.695392219690669,
      0.6845238688266428,
      0.6738363981169285,
      0.6633260369412773,
      0.6529891249759536,
      0.6428221075470446,
      0.6328215170049981,
      0.622983926122775,
      0.613306009378108,
      0.6037845566203335,
      0.5944164610614137,
      0.5851987102078192,
      0.5761283792322809,
      0.5672026254519167,
      0.5584186836732771,
      0.5497738626242553,
      0.5412655417527263,
      0.532891168103928,
      0.5246482684525706,
      0.5165344646600112,
      0.5085474286284459,
      0.5006851774637952,
      0.49294592543660115,
      0.4853277629278312,
      0.4778287170873335,
      0.47044679056621613,
      0.4631799861292134,
      0.45602632205241406,
      0.44898384193414453,
      0.4420506204932196,
      0.43522476709187385,
      0.42850442761878055,
      0.42188778493026097,
      0.4153730592872569,
      0.4089584356088474,
      0.4026422490559124,
      0.3964231790747691,
      0.39029982954452463,
      0.38427074477220646,
      0.3783344407950356,
      0.37248942608519636,
      0.3667342144601448,
      0.36106733368596167,
      0.3554875043904294,
      0.3499936054348214,
      0.34458443541531947,
      0.33925873542145507,
      0.3340152182019768,
      0.3288525869468056,
      0.3237694939020718,
      0.3187643730184543,
      0.3138357163235777,
      0.3089822425351594,
      0.30420274017100496,
      0.2994960166281808,
      0.29486089909100593,
      0.2902962523349157,
      0.28580096999924876,
      0.281373956235269,
      0.2770141287738659,
      0.27272042086885706,
      0.2684917822928588,
      0.2643271800293106,
      0.26022559846170135,
      0.2561860393059306,
      0.2522076218681635,
      0.24828983346830732,
      0.2444321107970632,
      0.24063376094326955,
      0.23689401059290682,
      0.2332120384714509,
      0.22958699663722462,
      0.22601802490640824,
      0.22250426007987872,
      0.2190448418288385,
      0.21563891689043024,
      0.2122856416671917,
      0.20898418353464102,
      0.2057336830289371,
      0.2025332201569454,
      0.199381913920151,
      0.1962789291370062,
      0.19322346548306757,
      0.19021474974386493,
      0.18725203097371546,
      0.1843345767861429,
      0.18146167114558484,
      0.17863261260928479,
      0.1758467132939876,
      0.17310329788928164,
      0.17040170310957223,
      0.16774127709341718,
      0.16512137899096913,
      0.1625413788714124,
      0.1600006572256968,
      0.15749860470020424,
      0.15503462213647995,
      0.15260812005283167,
      0.1502185186543852,
      0.14786524757687244,
      0.14554774556709094,
      0.1432654605577059,
      0.14101784940512258,
      0.13880437764013126,
      0.1366245193387108,
      0.134477757087634,
      0.13236358175859936,
      0.1302814923451616,
      0.1282309958493448,
      0.12621160711599247,
      0.12422284859518308,
      0.12226425052278524,
      0.12033535041244116,
      0.11843569313613177,
      0.11656483076074843,
      0.11472232236920145,
      0.112907734132874,
      0.11112063895489083,
      0.1093606164343312,
      0.1076272528520364,
      0.10592014090453006,
      0.10423887967535796,
      0.10258307451304507,
      0.10095233696769383,
      0.09934628467245118,
      0.09776454120685187,
      0.09620673595464695,
      0.09467250414698812,
      0.09316148667724987,
      0.09167333000490503,
      0.09020768613630355,
      0.0887642123252091,
      0.08734257123673761,
      0.0859424307930632,
      0.08456346392931562,
      0.08320534870097603,
      0.08186776822478761,
      0.08055041037643061,
      0.0792529679445242,
      0.0779751385025946,
      0.07671662403415021,
      0.0754771314229704,
      0.07425637186972564,
      0.0730540609921008,
      0.07186991887421477,
      0.07070366978506343,
      0.06955504234820659,
      0.068423769428326,
      0.06730958782921052,
      0.06621223847431376,
      0.06513146621685664,
      0.06406701973161137,
      0.06301865162398292,
      0.06198611834065405,
      0.060969179931793974,
      0.05996760030747838,
      0.05898114683037033,
      0.058009590376209536,
      0.05705270538844174,
      0.056110269726296,
      0.05518206469440096,
      0.05426787490083179,
      0.0533674881591827,
      0.05248069568263413,
      0.051607291756280545,
      0.05074707383456066,
      0.049899842472602714,
      0.04906540120234626,
      0.0482435565469128,
      0.047434118018090776,
      0.04663689793698784,
      0.04585171153918256,
      0.0450783769476733,
      0.04431671491498784,
      0.04356654900791487,
      0.042827705519841185,
      0.04210001321863151,
      0.04138330359034898,
      0.04067741067356402,
      0.03998217099904609,
      0.03929742354803901,
      0.038623009889138984,
      0.03795877384418071,
      0.03730456155114195,
      0.03666022156442272,
      0.036025604709864927,
      0.035400564123545766,
      0.03478495517533356,
      0.0341786354647757,
      0.033581464631431336,
      0.0329933045960158,
      0.03241401917100985,
      0.031843474295905144,
      0.03128153801617999,
      0.03072808043892611,
      0.03018297345457234,
      0.02964609093012231,
      0.029117308718819894,
      0.02859650448674333,
      0.028083557839243045,
      0.02757835009820275,
      0.027080764468353526,
      0.026590685879412025,
      0.026108000949626037,
      0.025632598121413504,
      0.025164367466655763,
      0.024703200638537374,
      0.024248991109242682,
      0.02380163388663523,
      0.023361025485309158,
      0.022927064024139972,
      0.02249964915187373,
      0.022078682169683336,
      0.021664065727501163,
      0.021255704002748965,
      0.020853502566851746,
      0.020457368390865125,
      0.020067209951806827,
      0.019682937090603363,
      0.01930446095792858,
      0.018931694117875823,
      0.01856455042169367,
      0.01820294502015102,
      0.0178467943684038,
      0.017496016076669427,
      0.017150529128100837,
      0.016810253644016046,
      0.016475110990647475,
      0.016145023802016822,
      0.015819915810055638,
      0.015499711787361637,
      0.015184337856813349,
      0.014873721125589663,
      0.014567789825640883,
      0.01426647321035718,
      0.013969701582584993,
      0.013677406403131248,
      0.013389520200023961,
      0.013105976494801932,
      0.01282670974542224,
      0.012551655413661777,
      0.01228074998557951,
      0.012013930792228898,
      0.011751136279539002,
      0.011492305639330415,
      0.011237379086152978,
      0.010986297749152385,
      0.010739003625817112,
      0.010495439630237021,
      0.010255549386678652,
      0.010019277504630563,
      0.00978656947600804,
      0.009557371403993757,
      0.009331630383350269,
      0.009109294222739076,
      0.008890311653512143,
      0.008674632052124242,
      0.008462205674325249,
      0.008252983434237068,
      0.008046916985463263,
      0.00784395866498187,
      0.007644061604898069,
      0.0074471796696116465,
      0.007253267408319972,
      0.007062280035587702,
      0.006874173370253937,
      0.006688903922797691,
      0.00650642888992813,
      0.006326706215854574,
      0.0061496943380756515,
      0.005975352335906466,
      0.005803639871702937,
      0.005634517369736044,
      0.005467945752679103,
      0.005303886606439199,
      0.005142301946390741,
      0.0049831545583974984,
      0.004826407623577346,
      0.004672024809259875,
      0.004519970539798554,
      0.004370209761549373,
      0.004222707811644624,
      0.004077430568197023,
      0.003934344494450886,
      0.0037934165642882897,
      0.0036546142854860385,
      0.0035179055911488005,
      0.003383258904671443,
      0.0032506431239394287,
      0.003120027607342597,
      0.002991382142738057,
      0.0028646770388592747,
      0.0027398830211375603,
      0.0026169711993497026,
      0.0024959132980420535,
      0.002376681373682765,
      0.002259247914795823,
      0.002143585746967904,
      0.002029668008616448,
      0.0019174684082638109,
      0.001806961089466018,
      0.0016981205737964405,
      0.001590921654537452,
      0.0014853396411975517,
      0.0013813502372335344,
      0.0012789292154458927,
      0.0011780529274511128,
      0.0010786981661489482,
      0.0009808419346311666,
      0.0008844616804397727,
      0.0007895351306830092,
      0.0006960402808987587,
      0.000603955569481267,
      0.0005132597548073981,
      0.0004239319274014502,
      0.0003359514022780567,
      0.0002492979367875514,
      0.00016395146025148917,
      7.989221145688919e-05,
      -2.8991925671602975e-06,
      -8.444178183668803e-05,
      -0.0001647544606528605,
      -0.00024385584650881602,
      -0.00032176417791321605,
      -0.00039849737312064835,
      -0.00047407319603970307,
      -0.0005485091094858892,
      -0.000621822312125009,
      -0.0006940297487133165,
      -0.0007651481638855523,
      -0.0008351938878437609,
      -0.0009041830724930217,
      -0.0009721316337827328,
      -0.0010390552951488443,
      -0.0011049695284127542,
      -0.0011698896209344993,
      -0.0012338305574236623,
      -0.0012968070788685808,
      -0.0013588337466837537,
      -0.001419924834588819,
      -0.0014800945244779129,
      -0.0015393567075788898,
      -0.0015977250392840865,
      -0.0016552129352212647,
      -0.0017118337259012285,
      -0.0017676005370539588,
      -0.0018225262906067033,
      -0.0018766235706569974,
      -0.0019299049275274757,
      -0.00198238262152737,
      -0.0020340687730737127,
      -0.002084975365540242,
      -0.002135114146099194,
      -0.0021844966909143875,
      -0.002233134399704076,
      -0.0022810385022499964,
      -0.0023282200262775116,
      -0.002374689980737838,
      -0.002420459004821944,
      -0.0024655376382996573,
      -0.002509936331025504,
      -0.002553665363295365,
      -0.0025967348353664694,
      -0.0026391547706886807
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56655999639968,
      10.335525931045524,
      10.096021500220779,
      9.851206602532912,
      9.603644418386637,
      9.35558406196257,
      9.10898402141222,
      8.865482484609744,
      8.626378660603487,
      8.392625910318845,
      8.164862452404451,
      7.943443530512762,
      7.728470573070549,
      7.5198241992830095,
      7.317218390373157,
      7.120251013553378,
      6.928444604096641,
      6.741284004753266,
      6.558250145657153,
      6.378842333093741,
      6.202599139442041,
      6.02910199617914,
      5.857983130304421,
      5.688948306693237,
      5.521781205589622,
      5.356341979431123,
      5.192569071271909,
      5.030483353618712,
      4.870167956115304,
      4.711769727032986,
      4.555506620889405,
      4.401673660457039,
      4.250628806477478,
      4.102757098404154,
      3.9584561693992155,
      3.8181198668202856,
      3.6821297312366603,
      3.5508369388586365,
      3.424548283214296,
      3.3035193291703897,
      3.1879499604487247,
      3.0779823066921854,
      2.9736964162026065,
      2.8750994389416755,
      2.7821235540138476,
      2.694638885239652,
      2.61247556531692,
      2.5354083383714565,
      2.463188442395168,
      2.3955658475963015,
      2.332278117373049,
      2.2730265336759086,
      2.2174838805459585,
      2.165280060993039,
      2.116041819484305,
      2.0694167308834817,
      2.025084353426366,
      1.9827553354621625,
      1.9421853397502369,
      1.903171238679361,
      1.8655526770723994,
      1.8292001934322828,
      1.794004958949383,
      1.7598709469609488,
      1.7267193553806321,
      1.6944856825990224,
      1.6631158827906825,
      1.6325636577541816,
      1.6027885427511428,
      1.5737545908108515,
      1.5454295274838303,
      1.5177829671075933,
      1.4907844828392194,
      1.464406288153507,
      1.4386232808664323,
      1.4134125869652772,
      1.388753667633343,
      1.364628209436272,
      1.3410193216072472,
      1.3179105685133998,
      1.2952860188334547,
      1.273130296677745,
      1.2514286052586898,
      1.2301682252078285,
      1.2093378541814797,
      1.1889259179541518,
      1.168920812698308,
      1.1493128697449668,
      1.130093873000683,
      1.1112558579378706,
      1.0927905083815341,
      1.0746894801844062,
      1.0569441031859572,
      1.0395455135772853,
      1.0224848394084978,
      1.0057533181692093,
      0.989342369066947,
      0.9732436361566585,
      0.9574490124311742,
      0.9419506500071728,
      0.92674096319235,
      0.9118126264141787,
      0.8971585680551933,
      0.8827719631560325,
      0.8686462247799505,
      0.8547749949903091,
      0.8411521356709417,
      0.8277717193065943,
      0.8146280197320711,
      0.8017155036624618,
      0.789028822592652,
      0.7765628044163951,
      0.764312445865207,
      0.752272905182784,
      0.7404394953367959,
      0.7288076774535707,
      0.7173730545403556,
      0.70613136560454,
      0.6950784793869835,
      0.6842103899725382,
      0.6735232111747982,
      0.6630131717511475,
      0.6526766104449863,
      0.6425099725012415,
      0.6325097885418363,
      0.6226726296819121,
      0.6129951707359338,
      0.6034742015385085,
      0.5941066150831119,
      0.5848893986259797,
      0.5758196267976828,
      0.5668944565827274,
      0.5581111222263833,
      0.5494669321431987,
      0.5409592653792469,
      0.5325855682799643,
      0.52434337785982,
      0.5162303158946823,
      0.5082440898316503,
      0.5003827692126416,
      0.49264453085374516,
      0.48502744058110503,
      0.47752950949152567,
      0.47014872949706327,
      0.4628830961417668,
      0.4557306229016546,
      0.4486893500337734,
      0.4417573500790912,
      0.4349327308898594,
      0.4282136370714703,
      0.4215982505422629,
      0.41508479086129935,
      0.40867150333356816,
      0.4023568600462933,
      0.39613949065530396,
      0.3900179440819223,
      0.3839907285509399,
      0.378056336299294,
      0.3722132601474198,
      0.36646000360248254,
      0.3607950872329082,
      0.3552172543430989,
      0.34972538244589635,
      0.34431825724544723,
      0.3389946114700797,
      0.3337531524398803,
      0.3285925794649112,
      0.3235115427988721,
      0.3185084756798822,
      0.31358187776826035,
      0.30873047286269506,
      0.3039530433337952,
      0.2992483924866916,
      0.2946153458063085,
      0.2900527674430856,
      0.28555954910146264,
      0.2811345936509587,
      0.2767768177539474,
      0.2724851539300622,
      0.2682585515347824,
      0.2640959771932733,
      0.25999641494833936,
      0.25595886643136984,
      0.2519824631365063,
      0.2480667027515857,
      0.24421101357364983,
      0.24041469709672103,
      0.23667697629568832,
      0.23299702721306545,
      0.2293740003557298,
      0.22580703434897864,
      0.22229526506877106,
      0.2188378318277512,
      0.2154338810591409,
      0.21208256874865852,
      0.2087830620191719,
      0.20553449695287077,
      0.2023359532796801,
      0.1991865516075376,
      0.19608545783408585,
      0.19303187217688955,
      0.19002502200021767,
      0.18706415652942635,
      0.18414854362481817,
      0.1812774673445961,
      0.17845022633895244,
      0.17566613271426312,
      0.17292451108392326,
      0.17022469820385266,
      0.16756604226962277,
      0.16494790248405347,
      0.16236964886901753,
      0.1598306618819486,
      0.15733033212937256,
      0.154868060425237,
      0.15244325737364062,
      0.15005534311772006,
      0.14770374729918193,
      0.14538790867443227,
      0.14310727523370334,
      0.14086130367131838,
      0.138649459567948,
      0.13647121708943455,
      0.13432605887601953,
      0.13221347572071057,
      0.13013296657762585,
      0.128084038384054,
      0.12606620613614736,
      0.12407899239094775,
      0.12212192725586575,
      0.12019454830618798,
      0.1182964004620801,
      0.11642703574246616,
      0.11458601326993798,
      0.11277289917142512,
      0.11098726642457901,
      0.10922869468213857,
      0.10749677014300615,
      0.10579108560401759,
      0.10411124029759802,
      0.10245683957297137,
      0.1008274950045487,
      0.09922282426018811,
      0.09764245093927403,
      0.09608600441136288,
      0.09455311998624737,
      0.09304343856980138,
      0.0915566067272548,
      0.09009227643466805,
      0.08865010502117648,
      0.0872297551231647,
      0.08583089474924849,
      0.08445319688679409,
      0.08309633968887072,
      0.08176000629141116,
      0.08044388466998331,
      0.07914766768582855,
      0.0778710527735013,
      0.07661374216348785,
      0.07537544268920553,
      0.07415586558506694,
      0.07295472657741305,
      0.07177174578752799,
      0.07060664763809522,
      0.06945916081664731,
      0.06832901808577124,
      0.06721595637852182,
      0.06611971663545166,
      0.06504004379009694,
      0.06397668656847642,
      0.06292939770034352,
      0.06189793360092908,
      0.0608820543909283,
      0.05988152403837681,
      0.05889610994845523,
      0.057925583090882325,
      0.056969717962525514,
      0.056028292502595056,
      0.055101088093915195,
      0.054187889395675294,
      0.05328848431874182,
      0.05240266410246274,
      0.051530223082608746,
      0.0506709587442976,
      0.049824671624801725,
      0.04899116539318503,
      0.04817024670608427,
      0.04736172509433206,
      0.04656541300650418,
      0.04578112568844674,
      0.04500868122012077,
      0.04424790058807584,
      0.04349860745125993,
      0.04276062801245645,
      0.04203379128093156,
      0.04131792877967945,
      0.04061287446566374,
      0.03991846494270907,
      0.03923453924517905,
      0.03856093891442633,
      0.037897507995537934,
      0.03724409270639843,
      0.03660054171362399,
      0.035966705873166194,
      0.035342438361725285,
      0.034727594587558384,
      0.03412203215778165,
      0.03352561078108225,
      0.03293819242321567,
      0.03235964109289297,
      0.03178982281350092,
      0.03122860555798648,
      0.030675859401567775,
      0.030131456459361602,
      0.029595270724209016,
      0.029067178102428905,
      0.028547056291604866,
      0.02803478491955624,
      0.02753024538565434,
      0.027033320938086094,
      0.026543896516132325,
      0.026061858752129574,
      0.025587096227976783,
      0.025119499013751156,
      0.02465895893115119,
      0.024205369435745347,
      0.02375862559433884,
      0.02331862404352234,
      0.022885263004921705,
      0.022458442192246884,
      0.022038062800511002,
      0.021624027608971485,
      0.021216240880472803,
      0.02081460815191017,
      0.02041903663438298,
      0.020029434779420607,
      0.01964571242956838,
      0.019267780840701618,
      0.01889555262679332,
      0.018528941665968347,
      0.01816786324641649,
      0.01781223376621215,
      0.017461971035777017,
      0.017116994044744323,
      0.016777222981632527,
      0.01644257920738506,
      0.016112985386103385,
      0.015788365277365043,
      0.015468643768233044,
      0.015153746928671732,
      0.014843601931538006,
      0.014538137053435863,
      0.014237281686142725,
      0.013940966263354535,
      0.013649122286998074,
      0.013361682172921335,
      0.01307857953325392,
      0.01279974890314247,
      0.012525125789430304,
      0.012254646627646205,
      0.011988248952655288,
      0.011725871128056089,
      0.011467452549987796,
      0.01121293342185752,
      0.01096225491435186,
      0.010715359068215706,
      0.010472188808733202,
      0.010232687861741573,
      0.00999680086990585,
      0.009764473283834577,
      0.00953565138970015,
      0.009310282283051578,
      0.009088313890315875,
      0.008869694891582647,
      0.008654374652924617,
      0.008442303517625326,
      0.008233432483907073,
      0.008027713152741298,
      0.007825097900443181,
      0.0076255400037242415,
      0.007428993316161074,
      0.007235412348049185,
      0.007044752380450364,
      0.006856969353379122,
      0.006672019877241338,
      0.006489861228201138,
      0.0063104511993883495,
      0.006133748342445818,
      0.005959711798419342,
      0.005788301309274598,
      0.005619477218533798,
      0.00545320048725013,
      0.005289432758380296,
      0.0051281361100448996,
      0.00496927332655468,
      0.004812807599442078,
      0.004658702790439128,
      0.004506923397502241,
      0.0043574342439042565,
      0.004210200766258032,
      0.004065188821482306,
      0.003922364966556455,
      0.003781696187064482,
      0.003643149952278667,
      0.0035066941636285897,
      0.003372297410450618,
      0.003239928636760861,
      0.0031095571655969287,
      0.0029811528649741396,
      0.002854686023215957,
      0.0027301274040418587,
      0.002607448297101964,
      0.002486620271879994,
      0.002367615422200666,
      0.0022504061867282712,
      0.0021349655143239566,
      0.002021266783218565,
      0.0019092836711302342,
      0.0017989903129024193,
      0.0016903611413203728,
      0.0015833710860148258,
      0.0014779953796430203,
      0.0013742096641057898,
      0.001271989882173169,
      0.00117131242490317,
      0.001072154115176928,
      0.000974492027629286,
      0.0008783035769016729,
      0.0007835665115455009,
      0.0006902589539695209,
      0.0005983593589799836,
      0.0005078465312075785,
      0.00041869943986182364,
      0.00033089745433445886,
      0.00024442026320935277,
      0.00015924800445835737,
      7.536093298804497e-05,
      -7.26042789548026e-06,
      -8.863512119059412e-05,
      -0.0001687819200731273,
      -0.00024771935066967725,
      -0.0003254656947629329,
      -0.00040203888985657077,
      -0.00047745667588990515,
      -0.000551736506014477,
      -0.000624895538659818,
      -0.0006969507112459815,
      -0.0007679186284936299,
      -0.0008378157168169408,
      -0.000906658193379652,
      -0.0009744619578861296,
      -0.0010412425979563866,
      -0.0011070155774055626,
      -0.0011717961250594137,
      -0.0012355992376064087,
      -0.0012984395856595176,
      -0.0013603316858310838,
      -0.0014212898940634143,
      -0.001481328334931468,
      -0.0015404608488633904,
      -0.0015987011418542641,
      -0.0016560626230208689,
      -0.001712558641831818,
      -0.001768202184143157,
      -0.0018230060504469665,
      -0.0018769829124832106,
      -0.0019301452994600736,
      -0.0019825055135,
      -0.0020340756526312136,
      -0.002084867760036773,
      -0.002134893470530825,
      -0.002184164368078771,
      -0.0022326918911168246,
      -0.0022804871612583937,
      -0.002327561205204215,
      -0.0023739249660825247,
      -0.0024195891492471804,
      -0.002464564321567898,
      -0.0025088609019814838,
      -0.0025524890180708003,
      -0.0025954587618664104,
      -0.0026377801151261804
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56655783575515,
      10.33551619746154,
      10.095998975546864,
      9.851166460581155,
      9.603582958946975,
      9.355498774998788,
      9.108873376241261,
      8.865345691677867,
      8.626215650565502,
      8.39243731445932,
      8.164649060568353,
      7.94320611692925,
      7.728209528880066,
      7.5195396531595655,
      7.316910387993801,
      7.119919561998774,
      6.928089693077136,
      6.7409056748319145,
      6.557848584454455,
      6.378417839032811,
      6.202152136863516,
      6.028633175463895,
      5.857493387070496,
      5.688438704926508,
      5.521253061182051,
      5.355796862931976,
      5.1920088030253435,
      5.029909928663078,
      4.869583554315182,
      4.711176836843308,
      4.5549079851356495,
      4.401072694986571,
      4.2500291817683875,
      4.102162472052744,
      3.9578701009765664,
      3.8175458156866253,
      3.6815710473997942,
      3.550296631651361,
      3.424028977155466,
      3.303023231509037,
      3.1874788439645836,
      3.0775375070362836,
      2.97327870698921,
      2.8747090829759103,
      2.7817601934594864,
      2.694301614595078,
      2.6121627456143734,
      2.5351180939682214,
      2.4629187444664384,
      2.3953145480859206,
      2.3320429456191554,
      2.272805096473281,
      2.2172735729228603,
      2.165078059811835,
      2.1158455324689993,
      2.0692238221386954,
      2.0248927413424327,
      1.9825633005025112,
      1.9419915736121562,
      1.9029747880649632,
      1.8653528669485664,
      1.8289965456148956,
      1.7937971236601773,
      1.7596586941061942,
      1.7265025553242086,
      1.694264276837945,
      1.6628898637807974,
      1.6323330526942574,
      1.6025534031360245,
      1.5735149757680131,
      1.5451854942803338,
      1.517534616437018,
      1.490531926802875,
      1.4641496330518955,
      1.4383626291706921,
      1.4131480500726752,
      1.3884853707976823,
      1.3643562809881997,
      1.3407438830960179,
      1.3176317289131159,
      1.2950038780407926,
      1.2728449478706507,
      1.2511401891118514,
      1.22987699866997,
      1.2090440322834082,
      1.188629667339488,
      1.1686223758993657,
      1.1490126227795885,
      1.1297920999120705,
      1.1109527781359982,
      1.0924862944485063,
      1.0743842669366765,
      1.0566379955750946,
      1.0392385961770931,
      1.0221771830234299,
      1.005444984079306,
      0.9890334125420226,
      0.9729341081767577,
      0.9571389605300001,
      0.9416401196644504,
      0.9264299982507981,
      0.9115012694370379,
      0.8968468605232349,
      0.8824599455038054,
      0.8683339367803407,
      0.854462475928329,
      0.8408394240520091,
      0.8274588531173732,
      0.8143150363372453,
      0.8014024400505916,
      0.7887157149019953,
      0.7762496881902832,
      0.7639993561474304,
      0.7519598765798935,
      0.7401265617929955,
      0.7284948722726075,
      0.7170604103989221,
      0.7058189144311723,
      0.6947662528939313,
      0.6838984191888202,
      0.6732115264044124,
      0.6627018029295876,
      0.6523655872101054,
      0.642199323645853,
      0.6321995415861592,
      0.6223628103592352,
      0.6126858050377038,
      0.6031653152608977,
      0.5937982337238007,
      0.5845815475036176,
      0.5755123310894225,
      0.5665877407461517,
      0.5578050103549084,
      0.549161447781258,
      0.5406544313562093,
      0.5322814091573345,
      0.5240399269864123,
      0.5159276047766546,
      0.5079421861494433,
      0.5000817934812993,
      0.4923445658446675,
      0.4847285447794714,
      0.4772317253679689,
      0.4698520888718867,
      0.46258762360065225,
      0.4554363382413974,
      0.4483962698224187,
      0.44146548866630614,
      0.4346421008714687,
      0.42792424992192307,
      0.42131011695938625,
      0.41479792085022543,
      0.40838598880878274,
      0.40207291808892126,
      0.3958572669527896,
      0.38973753341337997,
      0.3837121920578833,
      0.37777971311268793,
      0.3719385747095782,
      0.3661872706429198,
      0.3605243255812004,
      0.3549485002832355,
      0.3494586606782217,
      0.3440535817739267,
      0.338731989203173,
      0.33349258543962107,
      0.3283340666404998,
      0.3232550817893066,
      0.3182540635850029,
      0.3133295229160887,
      0.3084801837418105,
      0.30370482302366103,
      0.29900224045396306,
      0.2943712596847866,
      0.2898107443732068,
      0.28531958432927673,
      0.28089668117932903,
      0.27654095093614456,
      0.27225132547347597,
      0.268026753729256,
      0.26386620195769345,
      0.2597686539249835,
      0.2557331111282488,
      0.25175872372939706,
      0.24784499040438476,
      0.2439913320292232,
      0.24019704517396143,
      0.2364613493996718,
      0.2327834185004017,
      0.22916240144458636,
      0.22559743581819425,
      0.22208765679942177,
      0.21863220308573023,
      0.21523022080366364,
      0.21188086565824515,
      0.20858330469348738,
      0.20533666968605366,
      0.202140039843902,
      0.19899253734002303,
      0.19589332921121652,
      0.19284161636599884,
      0.18983662652782862,
      0.18687760929324249,
      0.18396383258842028,
      0.1810945805493928,
      0.17826915192839804,
      0.17548685889400667,
      0.17274702617707852,
      0.1700489904640528,
      0.1673920998840621,
      0.16477571372828365,
      0.16219920188602494,
      0.15966194480369678,
      0.15716333321049097,
      0.15470276784565948,
      0.15227965924407869,
      0.14989342765615363,
      0.14754350259987276,
      0.14522932285799423,
      0.14295033635478166,
      0.14070599993747948,
      0.1384957791769624,
      0.13631914815506643,
      0.13417558956941847,
      0.13206459427190165,
      0.1299856612573754,
      0.12793829741589927,
      0.12592201767767006,
      0.1239363445399614,
      0.12198080817714815,
      0.12005494617963343,
      0.11815830348823331,
      0.11629043217925487,
      0.11445089150795286,
      0.11263924758013592,
      0.11085507337654273,
      0.1090979485832744,
      0.10736745943098598,
      0.10566319870805509,
      0.1039847655985201,
      0.10233176555968997,
      0.10070381022747378,
      0.09910051721460603,
      0.09752151017719327,
      0.09596641867905899,
      0.09443487799320768,
      0.09292652908210022,
      0.09144101844440607,
      0.08997799815899458,
      0.08853712555992672,
      0.08711806340702123,
      0.085720479696618,
      0.08434404755742249,
      0.08298844510074198,
      0.08165335552675104,
      0.08033846696885749,
      0.07904347214558023,
      0.07776806861698307,
      0.07651195865784623,
      0.07527484910592971,
      0.07405645127161821,
      0.07285648094282245,
      0.07167465818019146,
      0.0705107075540061,
      0.06936435789828038,
      0.06823534199405556,
      0.0671233968143971,
      0.0660282634219953,
      0.06494968670697926,
      0.06388741557422745,
      0.06284120271610527,
      0.061810804628179235,
      0.06079598158817553,
      0.05979649745791054,
      0.058812119727534064,
      0.05784261953826624,
      0.05688777139747175,
      0.055947353300709435,
      0.055021146631169776,
      0.05410893604668985,
      0.05321050968720512,
      0.052325658819746386,
      0.0514541777844533,
      0.050595864248224584,
      0.049750518792954807,
      0.04891794507487492,
      0.04809794973459301,
      0.04729034242969774,
      0.04649493564648593,
      0.045711544780343186,
      0.044939988042347626,
      0.04418008631624124,
      0.04343166323550612,
      0.042694545242221986,
      0.04196856131938567,
      0.04125354306394319,
      0.04054932460726553,
      0.039855742615478966,
      0.03917263626456305,
      0.038499847037003786,
      0.03783721885207298,
      0.03718459813221257,
      0.0365418335384421,
      0.035908776102763086,
      0.03528527912128952,
      0.03467119802427164,
      0.034066390458250245,
      0.033470716242641835,
      0.03288403732853378,
      0.03230621782927927,
      0.03173712391976731,
      0.03117662357454418,
      0.030624586968543886,
      0.030080886173420134,
      0.029545395205118428,
      0.02901798995801468,
      0.02849854832422495,
      0.02798694995811106,
      0.027483076314914406,
      0.026986810658132538,
      0.02649803814376549,
      0.02601664556846237,
      0.025542521410443646,
      0.025075555781276366,
      0.024615640613087953,
      0.024162669375759963,
      0.023716537213650576,
      0.023277140751452794,
      0.022844378294076928,
      0.022418149613037307,
      0.021998356031356428,
      0.021584900323287012,
      0.021177686823929866,
      0.020776621194279088,
      0.020381610637248547,
      0.01999256365498963,
      0.019609390205946667,
      0.019232001542927004,
      0.018860310355451305,
      0.01849423044032462,
      0.018133677191115645,
      0.01777856716450009,
      0.01742881816073389,
      0.017084349270562363,
      0.016745080678909688,
      0.016410933854566115,
      0.01608183141430476,
      0.015757697214064628,
      0.015438456355682103,
      0.015124034861309737,
      0.014814359930942026,
      0.01450935984762844,
      0.014208964173341797,
      0.013913103339314477,
      0.013621708888532726,
      0.01333471334094693,
      0.013052050221374841,
      0.012773654199783987,
      0.012499460834838596,
      0.012229406626759576,
      0.011963429143504801,
      0.011701466769463965,
      0.011443458852015658,
      0.011189345800642079,
      0.010939068796036698,
      0.010692569909172908,
      0.010449792103132861,
      0.010210679206574478,
      0.009975175884083132,
      0.009743227597452294,
      0.009514780601387138,
      0.009289782108096363,
      0.00906818008668726,
      0.00884992330049154,
      0.008634961277941961,
      0.008423244165353594,
      0.008214723033985233,
      0.008009349662511833,
      0.007807076462288095,
      0.00760785656419572,
      0.007411643882822173,
      0.007218393081823386,
      0.00702805948531568,
      0.00684059899776831,
      0.00665596826806886,
      0.006474124704089234,
      0.006295026184495935,
      0.006118631128902908,
      0.005944898760770685,
      0.005773789004817848,
      0.005605262132315804,
      0.0054392791906439355,
      0.005275801818361379,
      0.005114792241129786,
      0.004956213167929815,
      0.004800027911912708,
      0.004646200208018896,
      0.004494694465322904,
      0.004345475722657183,
      0.004198509422129435,
      0.004053761674593292,
      0.003911198865633523,
      0.003770788007001626,
      0.0036324966707722197,
      0.0034962928876565527,
      0.0033621450722445736,
      0.003230022185302045,
      0.0030998937010425147,
      0.00297172952527957,
      0.0028454999915980736,
      0.00272117602567969,
      0.0025987287061713027,
      0.002478129711074958,
      0.0023593511872904167,
      0.0022423656669121163,
      0.0021271460738013625,
      0.002013665719090127,
      0.0019018983809101027,
      0.0017918181759460482,
      0.00168339962330818,
      0.001576617608177095,
      0.001471447473775346,
      0.001367864892907798,
      0.001265845899842832,
      0.0011653668787429572,
      0.0010664046237248328,
      0.0009689362349333113,
      0.000872939098647022,
      0.0007783910593225916,
      0.0006852702245518159,
      0.0005935550444048178,
      0.000503224284079788,
      0.00041425709325464133,
      0.0003266328733243065,
      0.00024033134286832145,
      0.00015533257889640628,
      7.161674135984989e-05,
      -1.0835483036401636e-05,
      -9.204308396663935e-05,
      -0.00017202479560999076,
      -0.0002507991256659716,
      -0.00032838432623371,
      -0.0004047984083447557,
      -0.00048005902161937016,
      -0.0005541836063297939,
      -0.0006271893094354886,
      -0.0006990928924979272,
      -0.000769911071240802,
      -0.0008396602757688292,
      -0.0009083566260399158,
      -0.0009760160715336743,
      -0.001042654148452541,
      -0.0011082863588920931,
      -0.0011729278561128664,
      -0.0012365936570269706,
      -0.0012992984019968635,
      -0.0013610565714939358,
      -0.0014218824854702618,
      -0.001481790188088061,
      -0.00154079355349748,
      -0.0015989062958625237,
      -0.0016561418643410146,
      -0.0017125134829548093,
      -0.0017680341325972838,
      -0.0018227167164738952,
      -0.0018765739072464742,
      -0.0019296181268183264,
      -0.001981861677862221,
      -0.002033316588407845,
      -0.0020839947164382937,
      -0.002133907828158859,
      -0.0021830674660785793,
      -0.002231485045426346,
      -0.0022791717395455225,
      -0.0023261386387346066,
      -0.002372396608912232,
      -0.0024179563277864973,
      -0.0024628282635950896,
      -0.0025070228879368033,
      -0.0025505504178177036,
      -0.0025934209195050194,
      -0.0026356443413290058
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566555682027936,
      10.335506496922113,
      10.095976516572447,
      9.851126414339797,
      9.603521621938475,
      9.355413634810988,
      9.108762899850467,
      8.865209086955801,
      8.62605284684386,
      8.392248939921082,
      8.164435903376871,
      7.942968947915167,
      7.727948734708994,
      7.51925536040585,
      7.3166026435055675,
      7.119588373665072,
      6.927735052659941,
      6.7405276259134155,
      6.557447317048796,
      6.377993653542546,
      6.201705458003692,
      6.028164693162898,
      5.857003997632866,
      5.6879294742940685,
      5.52072530559531,
      5.355252152506849,
      5.191448958107684,
      5.029336942736252,
      4.868999606356609,
      4.710584413953904,
      4.554309828155239,
      4.400472218206519,
      4.24943005327096,
      4.101568347181217,
      3.9572845374794774,
      3.8169722712265717,
      3.6810128690072332,
      3.549756825353465,
      3.423510163991494,
      3.3025276162546224,
      3.1870081971827187,
      3.0770931609541687,
      2.972861432890658,
      2.874319142838247,
      2.781397229903822,
      2.693964722312118,
      2.611850286343268,
      2.5348281932959305,
      2.4626493745348905,
      2.395063561539962,
      2.3318080729136192,
      2.2725839468943585,
      2.2170635456323273,
      2.164876336330717,
      2.1156495246064693,
      2.069031196804813,
      2.024701419039372,
      1.9823715638369541,
      1.9417981154609634,
      1.9027786566656935,
      1.865153388573033,
      1.8287932430266016,
      1.7935896470867612,
      1.7594468132829315,
      1.726286140523829,
      1.6940432698025008,
      1.662664256074405,
      1.6321028711173342,
      1.6023186988225924,
      1.5732758070663657,
      1.5449419175667827,
      1.517286732116215,
      1.490279846883254,
      1.4638934645486792,
      1.4381024745018205,
      1.41288402006975,
      1.388217590298447,
      1.364084878413314,
      1.340468979371307,
      1.3173534329475383,
      1.294722289817967,
      1.272560161062488,
      1.2508523678781316,
      1.229586411269971,
      1.2087508815061916,
      1.1883341122044115,
      1.1683246554663813,
      1.148713109775895,
      1.1294910788326802,
      1.110650463324774,
      1.0921828552756123,
      1.0740798359390213,
      1.056332675996687,
      1.0389324718093624,
      1.0218703242007041,
      1.005137452176766,
      0.9887252626756505,
      0.9726253909225159,
      0.956829723427285,
      0.9413304078954405,
      0.9261198556665339,
      0.9111907386090786,
      0.8965359829395734,
      0.8821487616558913,
      0.8680224865977951,
      0.8541507985449664,
      0.8405275578702222,
      0.8271468356602989,
      0.814002904856247,
      0.8010902310571486,
      0.7884034646081753,
      0.7759374321279275,
      0.7636871290332282,
      0.7516477126304716,
      0.7398144950324561,
      0.7281829360193409,
      0.716748637330015,
      0.705507336663723,
      0.6944549021100566,
      0.6835873263970857,
      0.6729007221771975,
      0.662391317022096,
      0.6520554487312279,
      0.6418895613489654,
      0.6318901828046183,
      0.6220538807708004,
      0.6123773304541881,
      0.6028573215804733,
      0.5934907467006225,
      0.5842745924864513,
      0.5752059326516163,
      0.5662819233258425,
      0.5574997980502985,
      0.5488568641399099,
      0.5403504994635446,
      0.5319781570332212,
      0.5237373895152504,
      0.5156258115297137,
      0.5076412195253238,
      0.49978176774509897,
      0.4920455598745451,
      0.4844306142842016,
      0.47693491089451767,
      0.4695564208830726,
      0.4622931259110593,
      0.45514303010400586,
      0.44810416733366726,
      0.44117460572355527,
      0.43435244991545996,
      0.4276358422885514,
      0.4210229631980575,
      0.4145120308576433,
      0.4081014214206816,
      0.40178987497199686,
      0.3955759110107398,
      0.3894579706644391,
      0.3834344911079182,
      0.3775039179025766,
      0.371664712973529,
      0.3659153592776743,
      0.36025438848408897,
      0.35468057630931715,
      0.3491927729948031,
      0.3437897432194492,
      0.3384702059339856,
      0.333232859201372,
      0.3280763962955493,
      0.32299946485544206,
      0.3180004973728498,
      0.313078015902347,
      0.30823074428595404,
      0.30345745388675077,
      0.29875694080981197,
      0.29412802728012316,
      0.2895695763330769,
      0.28508047603582365,
      0.2806596267198974,
      0.2763059433532326,
      0.2720183573016671,
      0.2677958170443571,
      0.26363728851156865,
      0.25954175529012635,
      0.2555082186104384,
      0.2515358473089222,
      0.24762414134815894,
      0.243772514074444,
      0.2399802570507756,
      0.2362465865444022,
      0.23257067410617996,
      0.22895166705691342,
      0.22538870196117036,
      0.2218809132401305,
      0.21842743913309265,
      0.2150274252858114,
      0.21168002727881458,
      0.20838441192817564,
      0.20513970668246723,
      0.2019449904334838,
      0.19879938684526915,
      0.19570206390507322,
      0.19265222326462822,
      0.1896490931344116,
      0.18669192338087828,
      0.1837799821866613,
      0.18091255375285223,
      0.17808893698482842,
      0.1753084440503185,
      0.17257039963265267,
      0.16987414039969745,
      0.16721901443928136,
      0.16460438098407182,
      0.1620296100756066,
      0.15949408215435149,
      0.15699718789964143,
      0.15453832806395762,
      0.15211691315615666,
      0.1497323633674005,
      0.14738410817947814,
      0.14507158642511586,
      0.1427942459926977,
      0.14055154368328024,
      0.1383429452335636,
      0.13616792467070193,
      0.1340259646137013,
      0.13191655603395527,
      0.12983919783680373,
      0.12779339696945566,
      0.12577866834936144,
      0.12379453452448606,
      0.12184052566846784,
      0.119916179402247,
      0.11802104058174323,
      0.11615466151497383,
      0.1143166014908326,
      0.11250642650792247,
      0.11072370955899885,
      0.1089680303020295,
      0.1072389751091908,
      0.10553613679417347,
      0.10385911456415184,
      0.10220751393586257,
      0.10058094649421634,
      0.0989790299576189,
      0.09740138807297583,
      0.09584765038466823,
      0.09431745208053907,
      0.09281043418126379,
      0.09132624337465228,
      0.08986453163390248,
      0.08842495648386134,
      0.08700718070121514,
      0.08561087227790104,
      0.08423570437422634,
      0.08288135518487347,
      0.08154750789591864,
      0.08023385060839204,
      0.07894007623501131,
      0.07766588240744143,
      0.0764109714831924,
      0.07517505025398341,
      0.07395783022112029,
      0.0727590272064994,
      0.07157836138336231,
      0.07041555725261028,
      0.06927034361292175,
      0.06814245333909365,
      0.0670316234208828,
      0.06593759503537916,
      0.06486011317692335,
      0.06379892684812481,
      0.06275378875006116,
      0.0617244554541978,
      0.06071068715213962,
      0.0597122477850303,
      0.05872890499556222,
      0.05776042999258498,
      0.05680659733933176,
      0.05586718507556673,
      0.05494197471608608,
      0.054030751026409106,
      0.05313330202107309,
      0.052249418983213364,
      0.05137889645533227,
      0.050521532099031916,
      0.04967712658551028,
      0.04884548368203286,
      0.04802641019112624,
      0.047219715789564506,
      0.046425212996230515,
      0.045642717268215456,
      0.044872046879155164,
      0.04411302280513808,
      0.04336546867477627,
      0.04262921087888582,
      0.041904078560379955,
      0.04118990335688977,
      0.040486519490091896,
      0.03979376363594682,
      0.039111475030188074,
      0.03843949521449602,
      0.03777766836072335,
      0.0371258408802869,
      0.03648386159858737,
      0.03585158152220976,
      0.03522885384644592,
      0.03461553422254382,
      0.0340114803188784,
      0.03341655202589824,
      0.03283061136426168,
      0.032253522458468104,
      0.03168515151549989,
      0.031125366684181695,
      0.030574038087387154,
      0.03003103791919649,
      0.029496240282864725,
      0.028969521169642413,
      0.02845075852784545,
      0.027939832084587255,
      0.027436623314880632,
      0.026941015563618505,
      0.026452893920111648,
      0.025972145296908274,
      0.02549865828004872,
      0.02503232310051578,
      0.0245730317009936,
      0.02412067754865334,
      0.02367515584795771,
      0.023236363257823092,
      0.0228041981043217,
      0.022378560364521696,
      0.021959351402069623,
      0.021546474045512857,
      0.021139832608511194,
      0.020739332877929152,
      0.02034488208843454,
      0.019956388832639248,
      0.01957376309777989,
      0.019196916116357175,
      0.018825760623004208,
      0.0184602107097622,
      0.0181001817186635,
      0.017745590138815926,
      0.01739635387744242,
      0.0170523919443265,
      0.016713624707067713,
      0.016379973788973164,
      0.016051361838109443,
      0.01572771272032725,
      0.015408951500895747,
      0.015095004360577074,
      0.014785798624256299,
      0.014481262558742821,
      0.014181325626084887,
      0.013885918384914271,
      0.01359497242820912,
      0.013308420331298743,
      0.013026195705586541,
      0.012748233224550973,
      0.012474468539059941,
      0.012204838305130854,
      0.011939279954545513,
      0.011677732091990408,
      0.011420134152366843,
      0.011166426360515472,
      0.01091655005029697,
      0.010670447243394082,
      0.010428061007180021,
      0.01018933526966888,
      0.009954214586770718,
      0.00972264456092914,
      0.00949457161496239,
      0.0092699430173028,
      0.00904870663670554,
      0.008830811221472147,
      0.008616206350952626,
      0.008404842320369142,
      0.008196670231993646,
      0.007991641803457801,
      0.007789709559786359,
      0.007590826825264335,
      0.007394947521300089,
      0.007202026310029004,
      0.0070120183970521785,
      0.006824879775848987,
      0.00664056718218538,
      0.006459037924177632,
      0.006280249988451522,
      0.0061041619770146925,
      0.0059307331038011175,
      0.005759923193504015,
      0.005591692791478817,
      0.005426002881140591,
      0.0052628151509746725,
      0.005102091755067913,
      0.004943795495389764,
      0.004787889752061497,
      0.004634338377878838,
      0.004483105753477404,
      0.00433415690849365,
      0.004187457371456179,
      0.004042973180858063,
      0.003900670809071773,
      0.003760517348906876,
      0.0036224803970658424,
      0.003486527965161608,
      0.003352628538536195,
      0.0032207511752674898,
      0.0030908653656527476,
      0.002962941026958057,
      0.002836948474328037,
      0.002712858514262942,
      0.00259064241891064,
      0.0024702718961583728,
      0.0023517190930296005,
      0.0022349565562635094,
      0.0021199573600574014,
      0.0020066947964834853,
      0.0018951425127754983,
      0.0017852748402460436,
      0.0016770662862934166,
      0.0015704917017133,
      0.001465526499966354,
      0.0013621463951344805,
      0.0012603274466401523,
      0.0011600460542791917,
      0.0010612789802014325,
      0.0009640033846918595,
      0.0008681967685129138,
      0.0007738369671812857,
      0.0006809021211956437,
      0.0005893706220007744,
      0.0004992214089932841,
      0.0004104335748072999,
      0.00032298651893161804,
      0.00023685994311703853,
      0.00015203396865433539,
      6.848896319023926e-05,
      -1.3794421960158624e-05,
      -9.483520060350859e-05,
      -0.00017465208169381265,
      -0.00025326363191942487,
      -0.00033068803045420214,
      -0.00040694320397163624,
      -0.0004820468652879466,
      -0.0005560163792155306,
      -0.0006288689454327847,
      -0.0007006213922376842,
      -0.0007712902427503318,
      -0.0008408918878530958,
      -0.0009094425106440234,
      -0.0009769579655741249,
      -0.0010434539169282366,
      -0.0011089457475860834,
      -0.0011734486132085396,
      -0.0012369773490294176,
      -0.0012995467698287007,
      -0.0013611712762461076,
      -0.0014218651852642387,
      -0.0014816425378417987,
      -0.0015405171735241902,
      -0.0015985026955375767,
      -0.001655612632380834,
      -0.0017118601473981496,
      -0.0017672583194661136,
      -0.0018218199081133542,
      -0.0018755575499479122,
      -0.0019284836174063558,
      -0.001980610445382219,
      -0.0020319501570328392,
      -0.002082514647881908,
      -0.0021323155814861267,
      -0.0021813644671738273,
      -0.002229672584213899,
      -0.0022772512043072414,
      -0.002324111375040085,
      -0.0023702639250109047,
      -0.0024157195191058843,
      -0.0024604886622815697,
      -0.0025045817534055637,
      -0.0025480090053370077,
      -0.002590780395808218,
      -0.0026329058467809987
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566553537761171,
      10.335496843355699,
      10.095954156155644,
      9.851086521444286,
      9.6034604919839,
      9.355328754400384,
      9.10865273568386,
      8.865072846219077,
      8.625890456357675,
      8.392061024688365,
      8.16422324717052,
      7.942732318972093,
      7.727688500447923,
      7.518971634214291,
      7.316295475815981,
      7.119257775061307,
      6.927381018269751,
      6.740150202549367,
      6.557046699070027,
      6.3775701452349915,
      6.20125946819484,
      6.027696899392905,
      5.856515301933958,
      5.687420946181637,
      5.520198266193797,
      5.354708175017158,
      5.190889865829478,
      5.028764731292793,
      4.868416455056823,
      4.709992808444601,
      4.553712507995524,
      4.399872596109602,
      4.248831794885705,
      4.100975104939083,
      3.9566998654289947,
      3.816399622869468,
      3.6804555880158407,
      3.549217913638062,
      3.4229922384065525,
      3.302032877209658,
      3.186538410890163,
      3.076649655908232,
      2.972444976428754,
      2.8739299933080655,
      2.7810350269844086,
      2.6936285593495795,
      2.6115385246454355,
      2.534538958489466,
      2.4623806398095525,
      2.394813181413794,
      2.3315737805543795,
      2.2723633556828915,
      2.216854059335044,
      2.1646751411482184,
      2.115454036534585,
      2.0688390876826768,
      2.0245106133715307,
      1.9821803478656037,
      1.9416051853598717,
      1.9025830622766255,
      1.8649544566611969,
      1.8285904972371787,
      1.79338273856102,
      1.759235511760686,
      1.7260703161875959,
      1.6938228640071062,
      1.6624392599552926,
      1.6318733115650736,
      1.6020846267165487,
      1.5730372808172686,
      1.5446989937786577,
      1.5170395113839585,
      1.4900284408601865,
      1.463637979401065,
      1.4378430123732113,
      1.4126206916853712,
      1.3879505203543816,
      1.3638141947975948,
      1.3401948031032611,
      1.3170758726895326,
      1.2944414454754818,
      1.2722761255838106,
      1.250565305477302,
      1.2292965898177413,
      1.2084585027563917,
      1.1880393337982813,
      1.168027716470592,
      1.1484143829351634,
      1.1291908486698967,
      1.110348944578685,
      1.0918802167045536,
      1.0737762097318644,
      1.0560281653628094,
      1.0386271601566883,
      1.0215642820457953,
      1.0048307407774835,
      0.9884179366281555,
      0.9723175008453021,
      0.9565213168533926,
      0.9410215299510133,
      0.9258105496889054,
      0.9108810465523849,
      0.8962259460270543,
      0.8818384204136887,
      0.8677118805765943,
      0.8538399665937503,
      0.8402165384525984,
      0.8268356666555248,
      0.813691623250936,
      0.8007788733919489,
      0.7880920668061618,
      0.7756260297227496,
      0.7633757569831097,
      0.7513364052261045,
      0.7395032858988209,
      0.7278718583896123,
      0.7164377238791791,
      0.7051966195897965,
      0.6941444129529866,
      0.6832770962318953,
      0.6725907815706286,
      0.6620816957785559,
      0.6517461762669441,
      0.6415806661430176,
      0.6315816915876654,
      0.6217458193050033,
      0.6120697245843273,
      0.6025501971354024,
      0.5931841291600648,
      0.5839685070232161,
      0.5749004042439294,
      0.565976976406257,
      0.5571954564277254,
      0.5485531511946568,
      0.540047438081507,
      0.5316757769870852,
      0.5234357251493826,
      0.5153248920748601,
      0.507341149024673,
      0.4994826520127726,
      0.4917474726910591,
      0.4841336080375483,
      0.4766390238890747,
      0.46926168210390523,
      0.46199955807308496,
      0.45485065181052614,
      0.4478129944024845,
      0.44088465191421433,
      0.4340637275944955,
      0.427348362729529,
      0.4207367366704399,
      0.4142270670138431,
      0.40781777870822683,
      0.4015077545493848,
      0.3952954756598227,
      0.38917932643863296,
      0.3831577064489734,
      0.3772290366160634,
      0.37139176255889567,
      0.36564435670334594,
      0.3599853578224673,
      0.354413556133841,
      0.3489277863821203,
      0.34352680327289503,
      0.33820931883365557,
      0.3329740265641647,
      0.32781961680332217,
      0.32274473594523057,
      0.3177478164376167,
      0.31282739147361294,
      0.3079821847249527,
      0.30321096215741195,
      0.2985125161721012,
      0.2938856672978972,
      0.28932927813643444,
      0.28484223488151544,
      0.2804234366298275,
      0.2760717975419199,
      0.2717862483445982,
      0.2675657369400648,
      0.263409228981277,
      0.25931570783252833,
      0.2552841745415212,
      0.25131381665214003,
      0.24740413514109802,
      0.24355453600978821,
      0.23976430585817501,
      0.23603265744927346,
      0.2323587601976816,
      0.22874175988288684,
      0.2251807918740674,
      0.2216749900553757,
      0.21822349214761116,
      0.21482544352281951,
      0.211479999411925,
      0.20818632645752735,
      0.2049435477967099,
      0.20175074194510115,
      0.19860703426496856,
      0.19551159369798457,
      0.19246362260599115,
      0.18946234952614754,
      0.18650702458725935,
      0.183596916119088,
      0.18073130857054398,
      0.17790950073742423,
      0.17513080485403087,
      0.17239454568043927,
      0.16970005986273684,
      0.1670466954948682,
      0.16443381183659378,
      0.16186077889436642,
      0.15932697699162035,
      0.15683179688717747,
      0.1543746393996781,
      0.15195491500784242,
      0.14957204380105577,
      0.14722545531584258,
      0.14491458841792254,
      0.14263889102533528,
      0.14039781992731104,
      0.13819084064738038,
      0.13601742747813533,
      0.13387706289844703,
      0.13176923782956645,
      0.1296934512097553,
      0.12764921010819544,
      0.12563602947543218,
      0.1236534318416205,
      0.1217009473877769,
      0.11977811379878861,
      0.11788447602548775,
      0.11601958626693384,
      0.11418300369519704,
      0.11237429446355149,
      0.11059303157783842,
      0.10883879480267714,
      0.1071111705515674,
      0.10540975173508983,
      0.103734137452236,
      0.10208393315380011,
      0.10045875048968551,
      0.09885820735523042,
      0.09728192734773476,
      0.09572954014538142,
      0.09420068112446059,
      0.09269499128885098,
      0.09121211723100213,
      0.08975171113143786,
      0.08831343049122642,
      0.08689693813112041,
      0.08550190203418521,
      0.08412799537795239,
      0.08277489653729274,
      0.08144228870170628,
      0.08012986005658906,
      0.07883730348598303,
      0.07756431672130937,
      0.076310602090775,
      0.07507586645397663,
      0.0738598213814211,
      0.07266218273724771,
      0.07148267084370814,
      0.07032101021635498,
      0.06917692963554802,
      0.06805016210018701,
      0.06694044470407835,
      0.06584751851824887,
      0.06477112865296261,
      0.06371102414987524,
      0.06266695778387636,
      0.06163868623183938,
      0.0606259698578158,
      0.05962857270637199,
      0.058646262340614146,
      0.05767880989682105,
      0.05672599003481878,
      0.055787580901560496,
      0.05486336402138643,
      0.053953124336298314,
      0.053056650029574645,
      0.05217373237433579,
      0.0513041659500784,
      0.050447748480142204,
      0.049604280716205575,
      0.048773566413745396,
      0.04795541240773386,
      0.04714962836916752,
      0.04635602700492712,
      0.04557442380479035,
      0.04480463708849842,
      0.04404648794589595,
      0.04329980009188359,
      0.04256440002104778,
      0.041840116838921707,
      0.041126782236421765,
      0.04042423053833134,
      0.039732298576996485,
      0.03905082562960992,
      0.03837965334282997,
      0.03771862586025351,
      0.03706758964795226,
      0.03642639353861073,
      0.03579488856232854,
      0.03517292813236823,
      0.034560367909321696,
      0.033957065626219446,
      0.0333628813161033,
      0.03277767693751687,
      0.03220131670122908,
      0.03163366675620557,
      0.031074595366916046,
      0.030523972825303766,
      0.02998167132560677,
      0.029447565018784674,
      0.028921530010771607,
      0.028403444157999676,
      0.027893187353727776,
      0.027390641268360418,
      0.026895689224105367,
      0.02640821640686018,
      0.025928109779596715,
      0.025455257888607905,
      0.024989551070053875,
      0.024530881307221118,
      0.024079142202409334,
      0.023634228986886885,
      0.02319603845434166,
      0.022764468919537928,
      0.02233942025942744,
      0.021920794010931912,
      0.021508493131903846,
      0.021102421901055008,
      0.020702486223908932,
      0.02030859338502929,
      0.019920652041443214,
      0.01953857212544531,
      0.019162265077244556,
      0.01879164365706802,
      0.01842662195962105,
      0.01806711532565128,
      0.017713040391920613,
      0.017364315114543845,
      0.01702085865087826,
      0.016682591392779663,
      0.016349434877252416,
      0.01602131185405516,
      0.015698146352061352,
      0.015379863464166145,
      0.015066389301745349,
      0.01475765113756429,
      0.014453577476850828,
      0.014154097936057491,
      0.013859143011354508,
      0.013568644283459564,
      0.01328253432097152,
      0.013000746854893287,
      0.012723216728553087,
      0.012449879546832094,
      0.012180671951654228,
      0.011915531507031066,
      0.011654396721242102,
      0.011397207162128062,
      0.011143903194462514,
      0.010894426044916281,
      0.01064871786438565,
      0.010406721768084387,
      0.010168381637753401,
      0.009933642315269341,
      0.00970244936705243,
      0.009474749220253247,
      0.009250489060895479,
      0.009029616950949969,
      0.008812081656450404,
      0.008597832777270935,
      0.00838682067655942,
      0.008178996451498846,
      0.007974311938335829,
      0.007772719714477003,
      0.00757417302053374,
      0.007378625812090259,
      0.007186032757202682,
      0.006996349293872985,
      0.006809531499749725,
      0.006625535989564953,
      0.006444320215852802,
      0.006265842149047402,
      0.006090060392676771,
      0.005916934116087071,
      0.005746423263416003,
      0.005578488427934289,
      0.005413090703804725,
      0.005250191654432578,
      0.005089753594045251,
      0.0049317392996646395,
      0.004776112151565173,
      0.004622836091171065,
      0.004471875593978059,
      0.0043231956701400885,
      0.004176761879820519,
      0.004032540274333709,
      0.003890497447337376,
      0.003750600492853334,
      0.0036128169967133087,
      0.003477114941427507,
      0.003343462936614734,
      0.0032118300066033547,
      0.0030821856789906748,
      0.002954499890519678,
      0.002828743028163741,
      0.0027048859839922967,
      0.0025829001495297115,
      0.002462757207859486,
      0.0023444292643798516,
      0.002227888991686131,
      0.0021131093314000174,
      0.0020000636043544977,
      0.001888725641152582,
      0.0017790696920048613,
      0.0016710704214290507,
      0.00156470258576424,
      0.0014599416086969077,
      0.0013567632999236712,
      0.0012551436969473109,
      0.0011550592253186617,
      0.0010564867205081392,
      0.0009594034451695968,
      0.0008637868217494945,
      0.0007696147701804374,
      0.0006768654301000322,
      0.000585517196137476,
      0.0004955488556740516,
      0.00040693963258203394,
      0.0003196690996116844,
      0.00023371695174055764,
      0.00014906332092521132,
      6.568852621367452e-05,
      -1.642671077874002e-05,
      -9.730141169061727e-05,
      -0.00017695423768390825,
      -0.00025540370932176785,
      -0.0003326680564436208,
      -0.0004087652325960776,
      -0.0004837128391638818,
      -0.0005575281626429099,
      -0.0006302283252843344,
      -0.0007018301868479166,
      -0.0007723503662256582,
      -0.000841805185953058,
      -0.0009102107361645506,
      -0.0009775828932068232,
      -0.001043937261291897,
      -0.001109289182747713,
      -0.0011736538492114678,
      -0.0012370461576168233,
      -0.001299480838789639,
      -0.001360972260614129,
      -0.001421534694457524,
      -0.0014811822504839677,
      -0.0015399287229996238,
      -0.0015977877018301463,
      -0.0016547726003539717,
      -0.0017108967016316282,
      -0.0017661730326699635,
      -0.0018206142372154792,
      -0.0018742329753627834,
      -0.001927041629797612,
      -0.001979052481627901,
      -0.0020302775740099095,
      -0.0020807288422354164,
      -0.002130417982487381,
      -0.0021793564404121025,
      -0.0022275555579698257,
      -0.0022750265287857074,
      -0.002321780327651612,
      -0.0023678278171881187,
      -0.0024131796954252665,
      -0.0024578463657768286,
      -0.0025018381682671204,
      -0.002545165426967917,
      -0.002587838223255732,
      -0.0026298663781370883
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566551402954856,
      10.335487234119192,
      10.095931889115722,
      9.851046777218821,
      9.603399569113392,
      9.355244139290004,
      9.108542894213402,
      8.864936984692077,
      8.62572849949151,
      8.391873595422947,
      8.164011128854153,
      7.942496279749245,
      7.727428893308706,
      7.51868855980032,
      7.31598898993519,
      7.118927894743363,
      6.927027740799445,
      6.739773577020988,
      6.556646923063728,
      6.377147526526237,
      6.200814403144781,
      6.027230056511342,
      5.856027587175309,
      5.686913433099242,
      5.519672277784056,
      5.354165286678655,
      5.190331900117952,
      5.028193682874433,
      4.867834501902839,
      4.7094024348829695,
      4.5531164505637856,
      4.3992742630271575,
      4.248234847006575,
      4.100383188767787,
      3.956116528378635,
      3.815828311862503,
      3.6798996401831827,
      3.5486803247953627,
      3.422475618560888,
      3.3015394206249384,
      3.18606987866868,
      3.076207371268804,
      2.9720297031075513,
      2.8735419865966505,
      2.7806739244246237,
      2.6932934541881837,
      2.611227778836373,
      2.534250698961498,
      2.4621128407961654,
      2.394563698365257,
      2.331340346022933,
      2.2721435840585418,
      2.216645360361876,
      2.1644747076929365,
      2.115259292326683,
      2.06864770969688,
      2.024320528008537,
      1.9819898436347623,
      1.9414129623995033,
      1.902388174321724,
      1.8647562335519352,
      1.82838846428352,
      1.7931765481717574,
      1.7590249350772127,
      1.7258552240105698,
      1.6936031981352169,
      1.6622150123522696,
      1.6316445088081415,
      1.6018513196540582,
      1.5727995273484057,
      1.5444568502272333,
      1.5167930772784362,
      1.4897778277301423,
      1.4633832935189977,
      1.4375843555572945,
      1.4123581742590492,
      1.3876842668401417,
      1.3635443331373094,
      1.3399214537320523,
      1.3167991439111826,
      1.29416143675625,
      1.2719929295033012,
      1.2502790858483663,
      1.2290076148900155,
      1.208166975289944,
      1.1877454125600575,
      1.1677316400435456,
      1.148116523445411,
      1.1288914902929696,
      1.1100483010088178,
      1.0915784563305198,
      1.073473464435656,
      1.055724538057328,
      1.0383227342674135,
      1.0212591271478795,
      1.0045249178025841,
      0.9881115001542137,
      0.9720105010674218,
      0.9562138012370633,
      0.9407135440108904,
      0.92550213719984,
      0.9105722495479881,
      0.8959168056541345,
      0.8815289770163169,
      0.867402173874496,
      0.8535300355985312,
      0.8399064214279992,
      0.8265254013236463,
      0.8133812469407602,
      0.8004684226211896,
      0.7877815773632684,
      0.7753155366393402,
      0.7630652949561824,
      0.7510260083465823,
      0.7391929875753231,
      0.7275616917733434,
      0.716127721442624,
      0.704886813155414,
      0.6938348338919099,
      0.6829677754014332,
      0.6722817492694447,
      0.6617729819491148,
      0.6514378101819734,
      0.6412726767971842,
      0.6312741054620454,
      0.6214386619852466,
      0.6117630218616444,
      0.6022439749577344,
      0.5928784133244205,
      0.5836633227599808,
      0.5745957763039711,
      0.5656729289878875,
      0.5568920135299666,
      0.5482503360491288,
      0.5397452736455883,
      0.5313742960734039,
      0.5231349605864095,
      0.5150248722600695,
      0.5070419777193379,
      0.49918443496847215,
      0.4914502833353695,
      0.4838374989278549,
      0.476344033411357,
      0.46896783933819713,
      0.46170688589367964,
      0.45455916884095005,
      0.44752271629065604,
      0.4405955922875773,
      0.43377589862255267,
      0.4270617755501627,
      0.42045140163046363,
      0.413942993674114,
      0.40753506055997707,
      0.40122656899974785,
      0.39501598122046433,
      0.38890162596603867,
      0.38288186653292033,
      0.37695509978487546,
      0.37111975555406745,
      0.36537429558991064,
      0.35971726600168213,
      0.35414747196690965,
      0.3486637325425393,
      0.3432647923185712,
      0.33794935683992355,
      0.3327161151653142,
      0.3275637545149799,
      0.32249092027387827,
      0.3174960447500556,
      0.3125776722431222,
      0.30773452642510296,
      0.30296536784459555,
      0.2982689851281479,
      0.2936441971396159,
      0.28908986600139774,
      0.2846048761283605,
      0.2801881252220584,
      0.27583852660274577,
      0.27155501027340617,
      0.2673365238554035,
      0.26318203282987507,
      0.2590905201014659,
      0.2550609864503321,
      0.2510926380423102,
      0.24718497716362559,
      0.24333740237183715,
      0.23954919515419684,
      0.2358195651027983,
      0.23214767926958532,
      0.228532681920614,
      0.22497370747371567,
      0.22146988901188724,
      0.21802036363883676,
      0.21462427654430288,
      0.2112807827006657,
      0.20798904860480374,
      0.20474819299552885,
      0.2015572939894866,
      0.19841547839472515,
      0.19532191636302637,
      0.19227581085210918,
      0.18927639087902445,
      0.18632290684791405,
      0.18341462731214597,
      0.18055083677813202,
      0.17773083412326238,
      0.17495393157273958,
      0.17221945384288634,
      0.16952673768536755,
      0.16687513130875942,
      0.1642639938227094,
      0.16169269518010496,
      0.1591606158293752,
      0.15666714642554,
      0.15421168765112372,
      0.1517936500185818,
      0.1494124537442588,
      0.14706752838146475,
      0.1447583127718057,
      0.14248425476160512,
      0.1402448111663726,
      0.13803944764628354,
      0.13586763819999248,
      0.13372886552235952,
      0.13162262056712562,
      0.1295484022743114,
      0.12750571772181823,
      0.125494081767442,
      0.123513017026397,
      0.12156205367507755,
      0.11964072935509551,
      0.11774858906193246,
      0.11588518495511108,
      0.11405007632465158,
      0.11224282940840402,
      0.11046301726362587,
      0.10871021963494895,
      0.10698402288234743,
      0.10528401989874449,
      0.10360980994755088,
      0.10196099860374004,
      0.10033719750610844,
      0.0987380244923785,
      0.09716310329064945,
      0.09561206349167091,
      0.09408454045811752,
      0.0925801753553508,
      0.09109861485246344,
      0.0896395111089774,
      0.08820252164716837,
      0.08678730938294439,
      0.08539354239536406,
      0.08402089397526062,
      0.08266904240880324,
      0.08133767096650893,
      0.08002646779512582,
      0.07873512583336732,
      0.07746334283033297,
      0.0762108213175318,
      0.07497726825461586,
      0.07376239513941997,
      0.07256591786696313,
      0.07138755683987515,
      0.07022703666876147,
      0.06908408623465247,
      0.06795843853141902,
      0.06684983065383458,
      0.06575800378123459,
      0.0646827031475646,
      0.06362367783249068,
      0.0625806806332824,
      0.06155346821111512,
      0.06054180098123452,
      0.05954544311912433,
      0.058564162265413694,
      0.05759772965074676,
      0.05664592007517796,
      0.055708511697147446,
      0.05478528608620851,
      0.0538760280532466,
      0.05298052587757917,
      0.052098570958686606,
      0.05122995791229905,
      0.05037448454801011,
      0.0495319517000543,
      0.048702163212291205,
      0.04788492600176649,
      0.04708004986631735,
      0.04628734746871469,
      0.04550663436330692,
      0.04473772897022925,
      0.04398045239160673,
      0.04323462848946695,
      0.04250008382771477,
      0.04177664756405761,
      0.041064151364251435,
      0.04036242960946607,
      0.03967131925420336,
      0.038990659646489005,
      0.03832029252894621,
      0.037660061982295344,
      0.03700981454316699,
      0.03636939913717201,
      0.03573866688459456,
      0.0351174712324365,
      0.034505667923667487,
      0.03390311488326453,
      0.03330967206130859,
      0.03272520149408507,
      0.03214956752604129,
      0.03158263634058838,
      0.031024276296470234,
      0.03047435766811713,
      0.029932752794319586,
      0.02939933577047746,
      0.028873982745341868,
      0.02835657181897813,
      0.027846982782545306,
      0.02734509739276718,
      0.02685079913231133,
      0.026363973116860267,
      0.0258845064157632,
      0.025412287718290787,
      0.0249472074200909,
      0.024489157467913743,
      0.02403803156027903,
      0.023593724884252317,
      0.023156134367003582,
      0.022725158463071563,
      0.02230069717694293,
      0.021882651957651277,
      0.021470925822225546,
      0.021065423217464258,
      0.020666050040468304,
      0.02027271353071703,
      0.019885322428599726,
      0.01950378679596407,
      0.019128018083783508,
      0.01875792914154651,
      0.018393434162138074,
      0.018034448517440047,
      0.017680888827479292,
      0.017332673091768374,
      0.0169897205269828,
      0.016651951574820453,
      0.016319287851000102,
      0.015991652296258034,
      0.015668968810453907,
      0.01535116248246641,
      0.015038159512691284,
      0.014729887413671972,
      0.014426274624084079,
      0.01412725059073512,
      0.013832746115497122,
      0.013542692880321009,
      0.013257023611872233,
      0.0129756719705432,
      0.012698572640153484,
      0.012425661268907992,
      0.01215687464965279,
      0.011892150491074439,
      0.01163142746605497,
      0.011374645053722283,
      0.011121743613878425,
      0.010872664439389943,
      0.010627349722916641,
      0.010385742648312124,
      0.010147787110523016,
      0.009913427927926856,
      0.009682610702317913,
      0.009455281961777128,
      0.009231388988847695,
      0.009010879830183017,
      0.008793703429877127,
      0.008579809244465567,
      0.008369147725488194,
      0.00816167006125946,
      0.007957328087284084,
      0.007756074478803951,
      0.007557862495290338,
      0.0073626461913832205,
      0.007170380191917649,
      0.006981019889316244,
      0.0067945215166130245,
      0.0066108418038129165,
      0.006429938132767952,
      0.00625176847789096,
      0.006076291578341723,
      0.005903466718905495,
      0.005733253754719877,
      0.005565613272473938,
      0.005400506402807654,
      0.005237894871411429,
      0.005077740893361015,
      0.0049200073814037225,
      0.0047646578321384565,
      0.004611656157277474,
      0.004460966815453191,
      0.004312554876414355,
      0.004166385877211958,
      0.0040224259799631415,
      0.0038806417880014638,
      0.003741000380144161,
      0.003603469423201341,
      0.003468016917790172,
      0.003334611530954345,
      0.0032032222947227422,
      0.0030738187519589732,
      0.0029463708621491223,
      0.002820849080664064,
      0.002697224351017916,
      0.002575467978070135,
      0.002455551706147547,
      0.00233744771632195,
      0.002221128708023736,
      0.0021065676518702363,
      0.0019937379890363517,
      0.0018826135077395488,
      0.0017731684504634073,
      0.0016653774317439906,
      0.001559215529393647,
      0.0014546580531290996,
      0.0013516807274991391,
      0.0012502597047828591,
      0.001150371496796105,
      0.0010519928442892306,
      0.0009551009822374028,
      0.0008596735121154298,
      0.0007656883140553174,
      0.0006731235107332097,
      0.0005819575787001328,
      0.0004921694231000532,
      0.00040373827558478123,
      0.000316643530160942,
      0.0002308651012612029,
      0.00014638311576595258,
      6.317791775235382e-05,
      -1.876985593504773e-05,
      -9.947906550035248e-05,
      -0.00017896844133281632,
      -0.0002572565301684755,
      -0.00033436152625469936,
      -0.0004103012918286131,
      -0.0004850933445220163,
      -0.0005587550344877186,
      -0.0006313034469223622,
      -0.0007027554564305688,
      -0.0007731275771308262,
      -0.0008424361608751552,
      -0.0009106972325272171,
      -0.000977926642033648,
      -0.0010441400056343053,
      -0.0011093527354706957,
      -0.001173579858329173,
      -0.0012368363036940758,
      -0.0012991367269459158,
      -0.0013604956558786734,
      -0.0014209273315715998,
      -0.0014804456497467342,
      -0.0015390644379747725,
      -0.0015967973700799444,
      -0.0016536577462233349,
      -0.0017096587041929038,
      -0.0017648133471921718,
      -0.0018191344582531499,
      -0.0018726345822713787,
      -0.001925326157798318,
      -0.0019772214324643394,
      -0.002028332326527664,
      -0.002078670727724352,
      -0.00212824841706806,
      -0.0021770768605898013,
      -0.0022251672800079683,
      -0.002272530951227414,
      -0.0023191788539079915,
      -0.0023651217403004715,
      -0.002410370285493961,
      -0.0024549350211277845,
      -0.0024988262179336017,
      -0.002542054116734082,
      -0.002584628694963612,
      -0.0026265598525123993
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566549277710715,
      10.335477669923327,
      10.095909720636726,
      9.851007192090645,
      9.603338866223286,
      9.355159804326622,
      9.10843339227025,
      8.864801520497052,
      8.625566997530399,
      8.39168667468305,
      8.163799569162608,
      7.942260846287062,
      7.727169940578033,
      7.518406190112711,
      7.315683256155493,
      7.118598809985184,
      6.926675303257848,
      6.739397837138763,
      6.556248078595272,
      6.376725884776225,
      6.200370362540711,
      6.026764286370286,
      5.855540994373317,
      5.686407090433118,
      5.519147507213119,
      5.3536236621957105,
      5.189775243379058,
      5.027623986587957,
      4.867253940177188,
      4.70881348717383,
      4.552521863395945,
      4.398677438664908,
      4.247639438487924,
      4.099792834326647,
      3.955534767236857,
      3.815258582691456,
      3.6793452716985087,
      3.548144304157706,
      3.4219605479426156,
      3.301047485903411,
      3.1856028329769384,
      3.0757665317418943,
      2.971615828087387,
      2.873155326520338,
      2.7803141143335317,
      2.692959585407659,
      2.61091821303128,
      2.5339635639614313,
      2.4618461128230615,
      2.3943152356781825,
      2.331107866370669,
      2.271924691883772,
      2.216437477751756,
      2.164275040220495,
      2.1150652751909402,
      2.0684570309677484,
      2.0241311107792135,
      1.98179997970915,
      1.9412213633424884,
      1.9021939016197047,
      1.864558622678944,
      1.8281870447407753,
      1.7929709752112117,
      1.7588149815339993,
      1.7256407616339369,
      1.693384168926277,
      1.6619914084934797,
      1.6314163571114026,
      1.6016186709639806,
      1.572562442068504,
      1.5442153850144333,
      1.516547329925207,
      1.4895279092673561,
      1.463129309584415,
      1.4373264083172201,
      1.4120963738420953,
      1.3874187383024192,
      1.3632752046661973,
      1.3396488449058976,
      1.3165231622951437,
      1.2938821808895684,
      1.2717104919177071,
      1.249993630068252,
      1.228719408584478,
      1.2078762205487745,
      1.1874522672363454,
      1.167436342476545,
      1.1478194449659984,
      1.1285929144911035,
      1.1097484417106462,
      1.0912774821624331,
      1.073171507368639,
      1.055421700689278,
      1.0380190996089114,
      1.0209547652240163,
      1.0042198893331857,
      0.9878058598095875,
      0.9717042990814388,
      0.9559070844999733,
      0.9404063574060513,
      0.9251945241171413,
      0.9102642524913002,
      0.8956084656712653,
      0.8812203342396777,
      0.8670932675450508,
      0.8532209043366499,
      0.8395971032929708,
      0.8262159338155027,
      0.8130716669942827,
      0.8001587667448922,
      0.7874718816192687,
      0.7750058365137059,
      0.7627556253747642,
      0.750716403708038,
      0.7388834817267917,
      0.7272523175701895,
      0.7158185115472513,
      0.7045777994036174,
      0.6935260476191463,
      0.6826592475568551,
      0.671973509938261,
      0.6614650606049656,
      0.6511302358547855,
      0.6409654779286514,
      0.6309673085840298,
      0.6211322930831514,
      0.6114571069925875,
      0.6019385398206492,
      0.5925734832303398,
      0.5833589228507048,
      0.5742919314596273,
      0.5653696637289469,
      0.5565893517095133,
      0.5479483011740385,
      0.539443890412161,
      0.5310735980366716,
      0.5228349796350047,
      0.5147256713980047,
      0.5067436763836407,
      0.49888712017950343,
      0.49115401637854117,
      0.48354232394239877,
      0.4760499832964649,
      0.4686749394804244,
      0.4614151567958944,
      0.4542686275346042,
      0.447233377579276,
      0.4403074692405809,
      0.4334890030082103,
      0.42677611823455475,
      0.42016699284225595,
      0.4136598429579598,
      0.40725327129181105,
      0.4009462885176215,
      0.39473737513736407,
      0.38862480163845403,
      0.3826068931858314,
      0.37668202174400134,
      0.37084860065343134,
      0.3651050809729813,
      0.3594500157307406,
      0.3538822245722368,
      0.3484005108836799,
      0.34300360925915563,
      0.33769021842317193,
      0.33245902294758145,
      0.3273087073076069,
      0.322237915540812,
      0.3172450815631973,
      0.31232875986359576,
      0.3074876724620067,
      0.3027205747163319,
      0.2980262517661616,
      0.2934035208926251,
      0.2888512437566587,
      0.2843683029216042,
      0.27995359491252675,
      0.27560603226195873,
      0.2713245444920455,
      0.26710807880506676,
      0.2629556000032931,
      0.258866091002465,
      0.25483855231478436,
      0.2508722089314764,
      0.2469665642704754,
      0.24312100933134603,
      0.23933482069217768,
      0.2356072044813521,
      0.23193732550222623,
      0.22832432655750504,
      0.22476734107470395,
      0.22126550128347083,
      0.2178179440249329,
      0.2144238138600066,
      0.21108226564111082,
      0.2077924656156223,
      0.20455352822320835,
      0.20136453134376317,
      0.19822460329217922,
      0.19513291522467474,
      0.19208867071830585,
      0.18909109928027723,
      0.18613945153656036,
      0.1832329962485928,
      0.1803710180916078,
      0.17755281594533207,
      0.17477770207327933,
      0.17204500130405823,
      0.16935405030776013,
      0.16670419722028665,
      0.16409480127096743,
      0.16152523240018207,
      0.1589948709937725,
      0.15650310766317024,
      0.15404934314813176,
      0.15163298792816177,
      0.1492534622039447,
      0.14691019556819118,
      0.14460262679727184,
      0.14233020382159686,
      0.14009238339085453,
      0.13788863117158118,
      0.1357184213105183,
      0.13358123629627502,
      0.13147656709990316,
      0.1294039127489769,
      0.12736278028858006,
      0.1253526846646147,
      0.12337314839572763,
      0.12142370172036301,
      0.11950388240478514,
      0.11761323539049552,
      0.11575131290295755,
      0.113917674233371,
      0.11211188560030906,
      0.11033352012928507,
      0.1085821575551807,
      0.10685738435355195,
      0.10515879332766277,
      0.10348598383364097,
      0.10183856142886835,
      0.10021613793588059,
      0.09861833116431214,
      0.09704476483760474,
      0.09549506857129786,
      0.09396887776966428,
      0.0924658335865151,
      0.09098558286122005,
      0.08952777776254853,
      0.08809207585819814,
      0.08667814007538023,
      0.08528563848650805,
      0.08391424434160943,
      0.08256363603931939,
      0.08123349698877702,
      0.07992351545453424,
      0.07863338453299204,
      0.07736280187856942,
      0.07611146998725137,
      0.07487909584181324,
      0.0736653911110032,
      0.07247007179283717,
      0.0712928582967096,
      0.07013347520736417,
      0.06899165144257097,
      0.06786712014656533,
      0.06675961841432386,
      0.06566888755230253,
      0.06459467266065658,
      0.0635367229644727,
      0.06249479145712953,
      0.06146863483421574,
      0.06045801352071485,
      0.05946269165469434,
      0.05848243700525538,
      0.05751702089729205,
      0.05656621810552935,
      0.05562980686261591,
      0.05470756889324404,
      0.05379928910801939,
      0.052904755757751734,
      0.05202376036508233,
      0.0511560976395099,
      0.05030156541094287,
      0.049459964539913207,
      0.04863109898553619,
      0.04781477569428923,
      0.04701080449390616,
      0.046218998134561505,
      0.04543917226511304,
      0.044671145321690565,
      0.04391473845218875,
      0.04316977561650415,
      0.04243608339834267,
      0.04171349102779646,
      0.04100183040412234,
      0.040300935880534454,
      0.03961064436418506,
      0.03893079523447559,
      0.03826123029343907,
      0.03760179386207244,
      0.036952332561944204,
      0.03631269523915522,
      0.035682733240314735,
      0.0350623000651404,
      0.03445125139652317,
      0.03384944519915629,
      0.03325674144211836,
      0.032673002300088134,
      0.03209809216549245,
      0.03153187735472137,
      0.03097422619050154,
      0.030425009053972663,
      0.029884098240796377,
      0.02935136809869043,
      0.028826694752792946,
      0.02830995636590991,
      0.027801032878615548,
      0.02729980597894501,
      0.026806159199673236,
      0.026319977780910327,
      0.02584114880686582,
      0.025369560986764395,
      0.02490510484299682,
      0.02444767246721014,
      0.02399715758180883,
      0.023553455423082594,
      0.023116462935501313,
      0.022686078756477865,
      0.022262202838717562,
      0.021844736631083782,
      0.021433583201880983,
      0.02102864708181053,
      0.020629834163734578,
      0.02023705183679687,
      0.019850208897168625,
      0.019469215489983323,
      0.019093983100781874,
      0.018724424666898755,
      0.018360454299826235,
      0.018001987521482663,
      0.017648941073100787,
      0.017301232951599098,
      0.016958782323521417,
      0.016621509800050234,
      0.016289337042975055,
      0.015962186966751044,
      0.01563998354438332,
      0.015322651942071717,
      0.015010118480288171,
      0.014702310707535084,
      0.014399157084525877,
      0.014100587142692219,
      0.01380653162767009,
      0.013516922316739156,
      0.013231691929615614,
      0.012950774150777687,
      0.012674103795667184,
      0.012401616643975898,
      0.01213324953154596,
      0.011868940140668797,
      0.011608627022887438,
      0.01135224983508145,
      0.011099749039024286,
      0.010851065948016905,
      0.010606142871791922,
      0.010364923100216819,
      0.01012735050906767,
      0.009893369906059121,
      0.009662926985976074,
      0.009435968295767967,
      0.009212441075763063,
      0.008992293485268272,
      0.00877547448173252,
      0.008561933696978006,
      0.008351621576749119,
      0.008144489262419013,
      0.007940488641140438,
      0.007739572398755928,
      0.007541693821391468,
      0.007346806993879966,
      0.007154866746731335,
      0.0069658285425133176,
      0.006779648511061645,
      0.006596283455318384,
      0.006415690764755104,
      0.006237828476771368,
      0.006062655449466815,
      0.0058901309201398735,
      0.005720214873362853,
      0.005552867846544256,
      0.005388050970931139,
      0.005225725978276676,
      0.005065855190911375,
      0.004908401520165189,
      0.004753328422609127,
      0.004600599909162147,
      0.004450180391290967,
      0.004302035024680198,
      0.004156129578907651,
      0.0040124300738969935,
      0.003870903212899353,
      0.0037315160799421816,
      0.0035942364112941604,
      0.0034590322972383515,
      0.003325872368491041,
      0.0031947256410599346,
      0.0030655616811457306,
      0.002938350657424096,
      0.0028130629947009816,
      0.0026896695505571376,
      0.0025681418127323345,
      0.0024484513798904016,
      0.002330570511859659,
      0.0022144720207603,
      0.0021001288396256044,
      0.001987514431666203,
      0.0018766026160100863,
      0.0017673676875613227,
      0.001659784328831952,
      0.0015538274597539233,
      0.0014494724825265784,
      0.0013466952742493946,
      0.0012454719904172996,
      0.001145779174879523,
      0.0010475936168033084,
      0.0009508925331405954,
      0.0008556535619136353,
      0.0007618544644311291,
      0.0006694735279583325,
      0.0005784893211561141,
      0.0004888807628298808,
      0.0004006269882566909,
      0.00031370748997307127,
      0.00022810217700103757,
      0.0001437911752083603,
      6.0754825741584926e-05,
      -2.1026074221704288e-05,
      -0.00010157050584269148,
      -0.0001808971886700437,
      -0.00025902455866062097,
      -0.0003359708214642933,
      -0.0004117537759605411,
      -0.0004863908776504627,
      -0.0005598995489703166,
      -0.0006322967831866118,
      -0.0007035994784871145,
      -0.0007738240461303608,
      -0.0008429869139158322,
      -0.0009111041325746054,
      -0.0009781914388703587,
      -0.0010442644318919777,
      -0.001109338532517059,
      -0.0011734287893718704,
      -0.0012365501416657983,
      -0.0012987171595824807,
      -0.001359944286106734,
      -0.0014202456774969866,
      -0.0014796353668399742,
      -0.001538127166480084,
      -0.0015957346206904237,
      -0.0016524710904087336,
      -0.00170834968476572,
      -0.001763383529292894,
      -0.0018175852507466635,
      -0.001870967497835915,
      -0.0019235426789118429,
      -0.0019753229408321447,
      -0.0020263203375584207,
      -0.002076546648313172,
      -0.00212601360848516,
      -0.002174732586578545,
      -0.002222714947020472,
      -0.0022699719231085236,
      -0.0023165144190833006,
      -0.002362353358524866,
      -0.0024074992756340534,
      -0.0024519626109727136,
      -0.002495753695046848,
      -0.002538882687329619,
      -0.0025813596286814733,
      -0.002623194385485739
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.5665471618253,
      10.33546815117635,
      10.095887647516811,
      9.850967755955255,
      9.603278365747022,
      9.355075725882813,
      9.1083241999256,
      8.864666416978318,
      8.625405904111954,
      8.391500207747441,
      8.163588504618362,
      7.942025943629559,
      7.7269115512951005,
      7.518124414020003,
      7.315378147582814,
      7.118270384949013,
      6.926323558755325,
      6.739022823153309,
      6.555849995115399,
      6.376305040793428,
      6.199927155407943,
      6.026299384497867,
      5.855055303104493,
      5.685901681430075,
      5.518623700782397,
      5.353083028932144,
      5.189219602785832,
      5.027055328985095,
      4.866674436746243,
      4.708225613816019,
      4.55192836573684,
      4.398081717720062,
      4.2470451471809705,
      4.099203605286224,
      3.9549541334853724,
      3.814689975645312,
      3.678792012957702,
      3.547609374106648,
      3.421446542124032,
      3.300556584951103,
      3.1851367848563905,
      3.0753266484007473,
      2.971202863469791,
      2.872769527230882,
      2.779955112310224,
      2.6926264701557976,
      2.610609346668445,
      2.533677075269293,
      2.461579978986171,
      2.394067316577054,
      2.3308758616963265,
      2.271706197631508,
      2.216229928592563,
      2.164075655283448,
      2.1148715019301285,
      2.0682665692762225,
      2.0239418937445133,
      1.9816103075131069,
      1.9410299538834601,
      1.9019998214980844,
      1.8643612072623952,
      1.827985824813829,
      1.79276560862265,
      1.7586052427625516,
      1.725426524085278,
      1.6931653760166263,
      1.6617680522580611,
      1.6311884641295025,
      1.601386291560893,
      1.572325643422327,
      1.5439742281378241,
      1.5163018967484823,
      1.4892783125342002,
      1.4628756555541886,
      1.437068798484527,
      1.4118349183042591,
      1.387153568879854,
      1.3630064523801406,
      1.3393766258515338,
      1.3162475818155979,
      1.2936033361054773,
      1.2714284740329094,
      1.2497086017254848,
      1.2284316366105423,
      1.2075859065355807,
      1.187159568883458,
      1.1671415332191764,
      1.147522882782628,
      1.128294874230068,
      1.1094491312707624,
      1.0909770658276974,
      1.072870114142283,
      1.0551194316225676,
      1.0377160365659666,
      1.0206509768198535,
      1.0039154353738935,
      0.9875007944434337,
      0.971398672258044,
      0.9556009433163841,
      0.9400997465268073,
      0.9248874864900618,
      0.9099568300550738,
      0.8953006993938535,
      0.8809122641491218,
      0.8667849331596715,
      0.8529123444774966,
      0.8392883561943192,
      0.8259070369737523,
      0.8127626571612044,
      0.7998496801678987,
      0.7871627539177215,
      0.774696702903667,
      0.7624465206068721,
      0.7504073619982174,
      0.7385745366278792,
      0.7269435020655831,
      0.7155098580854652,
      0.7042693400782932,
      0.6932178136038643,
      0.6823512694989831,
      0.6716658181921388,
      0.6611576848225584,
      0.650823205408175,
      0.6406588214102267,
      0.6306610522048126,
      0.620826462441823,
      0.6111517277171241,
      0.6016336374670719,
      0.5922690833798543,
      0.583055050641873,
      0.5739886114444447,
      0.5650669200276671,
      0.5562872079045388,
      0.547646780502721,
      0.5391430213198015,
      0.5307734159068718,
      0.5225355144378344,
      0.514426990537225,
      0.5064459015870504,
      0.4985903349157253,
      0.4908582796495305,
      0.483247678431197,
      0.47575646114148196,
      0.46838256566886327,
      0.4611239513077189,
      0.45397860705794285,
      0.4469445565234675,
      0.44001986040639346,
      0.43320261812136146,
      0.4264909680641978,
      0.41988308738887936,
      0.41337719168550263,
      0.4069719774133411,
      0.4006664991762359,
      0.3944592555147561,
      0.388348458752334,
      0.3823323963954112,
      0.3764094154226261,
      0.37057791267224366,
      0.36483632837493885,
      0.35918323056067825,
      0.35361744221095237,
      0.3481377523987296,
      0.3427428859884328,
      0.3374315356665653,
      0.3322023818521808,
      0.327054106162618,
      0.3219853516310135,
      0.31699455880220323,
      0.31208028986688624,
      0.30724126011712766,
      0.30247622052357476,
      0.29778395339499025,
      0.2931632749538519,
      0.28861304670448146,
      0.28413214953444504,
      0.2797194788909966,
      0.27537394661632125,
      0.2710944816201102,
      0.26688003062925036,
      0.262729558460366,
      0.2586420476406531,
      0.2546164984731891,
      0.2506521545914379,
      0.24674852037457115,
      0.24290497942317837,
      0.23912080343760558,
      0.23539519533012923,
      0.23172731750910486,
      0.2281163110909082,
      0.22456130849280131,
      0.22106144141364462,
      0.2176158460931888,
      0.2142236668368543,
      0.210884058177681,
      0.20759618620679748,
      0.20435916117087388,
      0.2011720605524677,
      0.19803401421607095,
      0.19494419421240472,
      0.19190180499678702,
      0.18890607646973023,
      0.18595625948444594,
      0.18305162297786398,
      0.18019145164726638,
      0.17737504444360694,
      0.1746017137629943,
      0.17187078435445208,
      0.16918159295796323,
      0.1665334877117277,
      0.1639258278238962,
      0.16135798320858274,
      0.1588293343021887,
      0.15633927172866532,
      0.15388719613172688,
      0.15147251805278755,
      0.14909465766373525,
      0.14675304443065065,
      0.1444471172421268,
      0.14217632400383917,
      0.13994012157712618,
      0.1377379754181919,
      0.135569359764086,
      0.13343375718217562,
      0.1313306586282025,
      0.12925956320448895,
      0.12721997782796254,
      0.12521141752632747,
      0.12323340493182636,
      0.12128547026929244,
      0.11936715120203566,
      0.11747799276493964,
      0.11561754719955472,
      0.1137853737676611,
      0.11198103877159918,
      0.11020411528543528,
      0.10845418311182672,
      0.10673082864599351,
      0.10503364486307389,
      0.10336223114911158,
      0.10171619308326114,
      0.10009514251406348,
      0.09849869719239873,
      0.09692648090758707,
      0.0953781234277444,
      0.0938532603331432,
      0.092351532678481,
      0.09087258726562107,
      0.0894160763380535,
      0.08798165754225268,
      0.08656899378062086,
      0.08517775322569664,
      0.08380760922873134,
      0.08245824025297677,
      0.08112932958623313,
      0.0798205656335014,
      0.0785316415598747,
      0.07726225503304994,
      0.07601210854786665,
      0.07478090922100909,
      0.07356836879022774,
      0.0723742032835076,
      0.0711981331359004,
      0.0700398830362892,
      0.06889918186919892,
      0.06777576289413811,
      0.06666936338781591,
      0.06557972456483505,
      0.06450659166866153,
      0.06344971392487549,
      0.062408844298673063,
      0.06138373966758483,
      0.0603741605245763,
      0.059379871028798555,
      0.05840063906355976,
      0.0574362358816717,
      0.056486436345728384,
      0.055551018911114976,
      0.05462976522192152,
      0.053722460316662016,
      0.05282889243004331,
      0.05194885319461149,
      0.05108213738448651,
      0.05022854279842137,
      0.04938787044004685,
      0.04855992437018103,
      0.047744511529071,
      0.046941441849711975,
      0.04615052821679064,
      0.04537158628439481,
      0.04460443452672192,
      0.043848894172275124,
      0.043104789224845584,
      0.0423719463425045,
      0.041650194904633966,
      0.04093936673634265,
      0.04023929627824302,
      0.039549820482494155,
      0.038870778823917373,
      0.0382020132507369,
      0.037543368109739315,
      0.036894689937368545,
      0.03625582776188329,
      0.035626632941105206,
      0.035006959082415925,
      0.034396661904163586,
      0.03379559940171013,
      0.03320363165575195,
      0.032620620944824714,
      0.03204643163412311,
      0.031480930173995475,
      0.03092398500467547,
      0.030375466621653812,
      0.029835247400449186,
      0.029303201619760057,
      0.028779205549315342,
      0.028263137303442574,
      0.02775487687999569,
      0.02725430599663355,
      0.02676130822648748,
      0.02627576886721133,
      0.02579757516699494,
      0.02532661587069804,
      0.02486278150376001,
      0.024405964204489886,
      0.02395605779199027,
      0.02351295770702703,
      0.023076560971929356,
      0.02264676602260778,
      0.02222347294116641,
      0.02180658323624374,
      0.021396000144771617,
      0.020991628151098132,
      0.020593373274734036,
      0.020201142905713898,
      0.019814845887439928,
      0.019434392445799822,
      0.01905969414922988,
      0.018690663905842966,
      0.018327216004036306,
      0.017969265992882216,
      0.017616730599311344,
      0.017269527910817418,
      0.016927577289726766,
      0.016590799222703526,
      0.016259115422632517,
      0.015932448871628632,
      0.015610723614506427,
      0.015293864887371606,
      0.014981799136180888,
      0.01467445386214033,
      0.01437175755979105,
      0.014073639977884302,
      0.013780031735334845,
      0.013490864640951863,
      0.013206071553395565,
      0.01292558616225367,
      0.012649343319856373,
      0.012377278868225526,
      0.012109329603735331,
      0.011845433360191603,
      0.011585528809491345,
      0.011329555539160537,
      0.011077454082532287,
      0.010829165774607208,
      0.010584632941694266,
      0.010343798840629657,
      0.010106607518874591,
      0.009873003849353891,
      0.009642933587944713,
      0.00941634335134236,
      0.009193180445831966,
      0.008973393016786017,
      0.008756929959748791,
      0.008543740878917605,
      0.008333776379218328,
      0.008126987770689842,
      0.007923326909379984,
      0.007722746459906081,
      0.0075251999071432535,
      0.007330641379691693,
      0.007139025654706683,
      0.0069503081328377795,
      0.0067644450769392545,
      0.006581393306615831,
      0.0064011101625444985,
      0.006223553860498888,
      0.006048683092071626,
      0.005876457308006405,
      0.005706836412519146,
      0.005539781045721022,
      0.005375252332538464,
      0.0052132121627464735,
      0.005053622965406234,
      0.004896447574129343,
      0.004741649494676574,
      0.004589192869910894,
      0.004439042218124047,
      0.004291162630974854,
      0.004145519782760303,
      0.004002079814794603,
      0.0038608093678475616,
      0.003721675661032016,
      0.0035846463252022097,
      0.0034496895238133427,
      0.0033167738661076082,
      0.003185868582898724,
      0.003056943278618672,
      0.002929968040955636,
      0.002804913399858001,
      0.0026817502626735215,
      0.002560449907980984,
      0.0024409842293679367,
      0.002323325491190961,
      0.002207446308890858,
      0.0020933198213906267,
      0.0019809195347719123,
      0.0018702192754772617,
      0.0017611933611410945,
      0.0016538164997576877,
      0.0015480637284883253,
      0.0014439104047722171,
      0.001341332415028744,
      0.0012403058953127932,
      0.001140807468578579,
      0.0010428140319946866,
      0.0009463028507190165,
      0.0008512513605348792,
      0.0007576375118901193,
      0.0006654395367092175,
      0.0005746360668747853,
      0.00048520602468311364,
      0.0003971285719595445,
      0.0003103832318894597,
      0.00022494992938056383,
      0.0001408087849383961,
      5.794032316103204e-05,
      -2.367476296050046e-05,
      -0.00010405541428471197,
      -0.00018322029259601984,
      -0.00026118782199155286,
      -0.0003379760577631729,
      -0.0004136028144406614,
      -0.0004880857357671924,
      -0.0005614421921997338,
      -0.0006336890565257533,
      -0.00070484319003792,
      -0.0007749210950581282,
      -0.0008439390433267412,
      -0.0009119131082918545,
      -0.0009788590880796678,
      -0.0010447925103501694,
      -0.0011097286550752255,
      -0.0011736826209657637,
      -0.0012366692828797718,
      -0.0012987031783720001,
      -0.0013597988639293037,
      -0.0014199705203660942,
      -0.0014792320594152432,
      -0.0015375973120744563,
      -0.001595079879065793,
      -0.0016516929999847532,
      -0.0017074498214067072,
      -0.0017623633405513903,
      -0.0018164461953075648,
      -0.0018697109429261906,
      -0.001922170128484702,
      -0.0019738359268132383,
      -0.00202472020324582,
      -0.0020748348082317977,
      -0.0021241914774892882,
      -0.0021728016172737354,
      -0.002220676482806945,
      -0.0022678272986950718,
      -0.0023142649723234612,
      -0.002360000225803987,
      -0.0024050436950626593,
      -0.002449405901734057,
      -0.0024930971738921703,
      -0.0025361276162080702,
      -0.0025785072261347575,
      -0.0026202458250007303
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566545048686464,
      10.335458646765312,
      10.095865603896975,
      9.850928362944009,
      9.603217916643763,
      9.354991699912517,
      9.108215055024846,
      8.864531350063144,
      8.625244827322403,
      8.391313728088909,
      8.163377391088135,
      7.94179095138894,
      7.726653028462529,
      7.517842460843226,
      7.3150728171277954,
      7.117941690053517,
      6.925971495645654,
      6.7386474499649065,
      6.5554515089046195,
      6.3758837477722965,
      6.199483452541052,
      6.025833937514188,
      5.8545690130596455,
      5.685395616765894,
      5.518099179538524,
      5.352541619924431,
      5.188663121370757,
      5.026485760475185,
      4.866093948362148,
      4.707636679020538,
      4.551333729093346,
      4.397484781410923,
      4.246449564692537,
      4.098613010013245,
      3.9543720599016186,
      3.814119857566001,
      3.67823717455764,
      3.5470727983482284,
      3.4209308279703583,
      3.300063915791126,
      3.1846689119874365,
      3.074884887089467,
      2.970787972006417,
      2.872381756551188,
      2.7795940988011516,
      2.69229130756985,
      2.6102984009625696,
      2.5333884789642442,
      2.4613117132471842,
      2.393817243924235,
      2.3306416851297187,
      2.271485516739044,
      2.216020182492581,
      2.1638740682997044,
      2.1146755300627595,
      2.0680739256306437,
      2.0237505224875942,
      1.981418515757323,
      1.9408364649306507,
      1.9018037051993892,
      1.8641618002993807,
      1.827782658153067,
      1.7925583397659814,
      1.758393644517194,
      1.725210467997857,
      1.6929448032200671,
      1.6615429534697033,
      1.6309588647269193,
      1.601152240645573,
      1.5720872059227842,
      1.5437314627197427,
      1.5160548828587697,
      1.4890271621894031,
      1.4626204743745899,
      1.4368096872710168,
      1.4115719862115266,
      1.3868869469524039,
      1.3627362704788304,
      1.339102998686912,
      1.3159706133321591,
      1.293323122373354,
      1.2711451049491616,
      1.249422239392482,
      1.2281425479852586,
      1.2072942922872825,
      1.186865585809681,
      1.1668455194637697,
      1.147225171660003,
      1.12799572473768,
      1.109148740276302,
      1.0906755903759051,
      1.072567677899882,
      1.0548161318458147,
      1.0374119524554932,
      1.0203461756096728,
      1.0036099760086008,
      0.9871947297638552,
      0.9710920512743914,
      0.9552938120961372,
      0.939792149378345,
      0.9245794662218546,
      0.9096484279212241,
      0.8949919558451795,
      0.8806032190170829,
      0.8664756255789169,
      0.8526028126992655,
      0.8389786378492896,
      0.8255971692256421,
      0.8124526767518434,
      0.7995396231492798,
      0.7868526556817487,
      0.7743865983312839,
      0.762136443929496,
      0.750097346778582,
      0.7382646159622704,
      0.7266337088039191,
      0.7152002240517871,
      0.7039598969880001,
      0.6929085927525197,
      0.682042301240784,
      0.671357132453221,
      0.6608493112249924,
      0.6505151725990097,
      0.6403511577304377,
      0.6303537838070181,
      0.6205196149583116,
      0.6108453270543839,
      0.6013277093247152,
      0.5919636529922346,
      0.5827501429709661,
      0.5736842511632673,
      0.5647631312683967,
      0.5559840145095506,
      0.5473442056587584,
      0.5388410947654482,
      0.5304721721803296,
      0.522234983017506,
      0.5141272505478243,
      0.5061470701718829,
      0.498292492739689,
      0.49056148373678216,
      0.4829519704596286,
      0.47546187239956106,
      0.468089120421306,
      0.460831669165972,
      0.4536875045419336,
      0.446654647870595,
      0.43973115839427446,
      0.4329151342959137,
      0.4262047130869653,
      0.4195980712752819,
      0.41309342767409024,
      0.4066895705446801,
      0.40038557292767973,
      0.3941799639191479,
      0.3880709189886125,
      0.3820566840957096,
      0.3761355790972624,
      0.370305983048377,
      0.364566324283945,
      0.35891519022205776,
      0.353351400185169,
      0.3478737290638176,
      0.34248089259061254,
      0.3371715771844868,
      0.3319444591994132,
      0.3267982175199589,
      0.32173149412152025,
      0.3167427358440982,
      0.31183051261370487,
      0.30699353334448726,
      0.302230544753132,
      0.29754032626017235,
      0.29292169362113846,
      0.28837350731382466,
      0.2838946467866262,
      0.27948400639024434,
      0.2751404971816291,
      0.2708630477440687,
      0.2666506042592743,
      0.26250213104322606,
      0.25841661055777154,
      0.25439304296464554,
      0.2504306906201264,
      0.2465290590211695,
      0.24268752446326747,
      0.23890535355820314,
      0.23518174566415867,
      0.23151586116804335,
      0.2279068397339999,
      0.22435381264741783,
      0.22085591087970116,
      0.21741227019043158,
      0.2140220344711444,
      0.2106843580060121,
      0.20739840674948626,
      0.20416328666052933,
      0.20097807479304758,
      0.197841902605946,
      0.19475394324178627,
      0.19171340171013743,
      0.18871950837477186,
      0.1857715143728601,
      0.18286868878450696,
      0.18001031652502164,
      0.1771956967369916,
      0.17442414172710896,
      0.17169497633068984,
      0.1690075372376539,
      0.16636117254549496,
      0.16375524149368448,
      0.16118911393374497,
      0.15866217022095555,
      0.1561738010378409,
      0.15372340716892377,
      0.15131039905393356,
      0.1489341967935444,
      0.14659422995217952,
      0.14428993727249964,
      0.1420207666891444,
      0.13978617504406274,
      0.13758562797982532,
      0.13541859969318068,
      0.13328457277684036,
      0.13118303813704923,
      0.12911349479591672,
      0.12707544981958338,
      0.12506841810563427,
      0.12309192237229324,
      0.12114549291738529,
      0.11922866729908134,
      0.11734099056706794,
      0.11548201504638461,
      0.11365130008765187,
      0.11184841193486919,
      0.11007292374220756,
      0.10832441536547961,
      0.10660247326444963,
      0.10490669044564986,
      0.10323666628055281,
      0.10159200635742338,
      0.09997232252572402,
      0.09837723263698893,
      0.0968063604711738,
      0.09525933591848175,
      0.09373579446320858,
      0.09223537729731071,
      0.09075773113523002,
      0.08930250836620064,
      0.08786936672940533,
      0.08645796924051899,
      0.08506798396117282,
      0.08369908426670736,
      0.0823509486804744,
      0.08102326069807464,
      0.07971570862887185,
      0.0784279855756521,
      0.07715978950114215,
      0.0759108230383459,
      0.0746807932381798,
      0.07346941165725472,
      0.07227639442045983,
      0.07110146217942918,
      0.06994433972129399,
      0.0688047560475609,
      0.06768244429948898,
      0.06657714178135614,
      0.06548858981759102,
      0.06441653375826176,
      0.06336072288494853,
      0.06232091021951903,
      0.06129685257257303,
      0.06028831060275515,
      0.05929504855301761,
      0.05831683435029527,
      0.05735343934327325,
      0.056404638495212316,
      0.05547021013830364,
      0.054549936017584955,
      0.053643601226635224,
      0.05275099413346045,
      0.05187190642689241,
      0.05100613294965976,
      0.050153471594154335,
      0.04931372348637774,
      0.048486692574472155,
      0.04767218589931832,
      0.04687001350430095,
      0.046079988296380915,
      0.04530192595902527,
      0.044535645063579266,
      0.043780966968728255,
      0.04303771569903034,
      0.04230571797636713,
      0.04158480316653164,
      0.04087480322939139,
      0.04017555267897443,
      0.03948688855016645,
      0.038808650374994404,
      0.03814068011432325,
      0.037482822185022156,
      0.036834923283064196,
      0.036196832536753515,
      0.035568401233550304,
      0.03494948305147797,
      0.034339933746038706,
      0.03373961136692713,
      0.03314837612096678,
      0.03256609041489311,
      0.03199261864938829,
      0.031427827249423314,
      0.030871584778938928,
      0.030323761675554953,
      0.029784230380770736,
      0.029252865280743372,
      0.028729542736989425,
      0.02821414095952966,
      0.027706539969844225,
      0.027206621596393553,
      0.026714269597751812,
      0.0262293692655315,
      0.025751807745323967,
      0.025281474002732982,
      0.02481825857345017,
      0.02436205359303577,
      0.023912752845535942,
      0.02347025190160338,
      0.023034447728755254,
      0.022605238949783852,
      0.022182525674886273,
      0.021766209670545586,
      0.021356194044884782,
      0.02095238340911093,
      0.020554683796495648,
      0.020163002631681474,
      0.019777248787951635,
      0.019397332611991194,
      0.019023165719052645,
      0.018654661142974878,
      0.01829173312260196,
      0.017934297312963938,
      0.01758227051834623,
      0.017235570862656487,
      0.01689411767196609,
      0.016557831527381356,
      0.0162266341382484,
      0.015900448576080892,
      0.015579198973008624,
      0.015262810625084859,
      0.01495120990951434,
      0.014644324403085277,
      0.014342082795434577,
      0.014044414813037719,
      0.013751251179117433,
      0.013462523704430462,
      0.013178165312702324,
      0.012898109828417298,
      0.012622292118131245,
      0.012350647962084158,
      0.012083114311522179,
      0.011819628939493683,
      0.011560130553042012,
      0.01130455878799733,
      0.011052854284299632,
      0.010804958471874373,
      0.010560813729086634,
      0.010320363303069121,
      0.010083551252418077,
      0.009850322463053354,
      0.009620622871015007,
      0.009394399014859254,
      0.009171598335092937,
      0.008952168986787001,
      0.008736059909835489,
      0.008523220844826452,
      0.00831360240940078,
      0.008107155764426766,
      0.00790383294433896,
      0.00770358669391417,
      0.00750637032765922,
      0.0073121380045555575,
      0.007120844700825618,
      0.00693244595696049,
      0.0067468979576858065,
      0.006564157493638985,
      0.006384182128804777,
      0.00620693003410097,
      0.006032359982201278,
      0.005860431395621116,
      0.005691104276633345,
      0.005524339323814897,
      0.005360097701210528,
      0.005198341248913858,
      0.005039032409319176,
      0.0048821341688877005,
      0.004727610008263294,
      0.004575424007009306,
      0.0044255406835261146,
      0.004277925262971541,
      0.004132543400809928,
      0.003989361283233403,
      0.003848345647258054,
      0.003709463796373379,
      0.0035726834150588177,
      0.003437972645411271,
      0.0033053002102011123,
      0.003174635239250998,
      0.0030459473262286606,
      0.0029192066959215688,
      0.002794383788230488,
      0.002671449510655635,
      0.0025503753342370683,
      0.002431133130777038,
      0.002313695253231966,
      0.0021980343063006213,
      0.0020841234332978575,
      0.0019719361025611784,
      0.001861446276951617,
      0.001752628273233123,
      0.0016454568269317193,
      0.001539907011915002,
      0.001435954320979148,
      0.0013335745630287865,
      0.001232743857307717,
      0.0011334388449218546,
      0.0010356364635784863,
      0.0009393138952092171,
      0.00084444873083567,
      0.0007510189207537987,
      0.0006590027643395339,
      0.0005683789075426512,
      0.00047912625901619566,
      0.00039122414272855496,
      0.0003046520832662519,
      0.00021938987152286116,
      0.00013541776543199576,
      5.2716291619834686e-05,
      -2.8733799322678153e-05,
      -0.00010895149380626536,
      -0.00018795540537044518,
      -0.0002657638796340015,
      -0.00034239495167884363,
      -0.00041786649964278914,
      -0.0004921961177189373,
      -0.0005654010643159653,
      -0.0006374983552844195,
      -0.0007085047926064483,
      -0.0007784368266951844,
      -0.0008473106846051168,
      -0.0009151424465800162,
      -0.0009819478100523324,
      -0.0010477423486351467,
      -0.001112541324970622,
      -0.001176359801818741,
      -0.001239212592774961,
      -0.0013011143841185967,
      -0.0013620795508567634,
      -0.001422122187646161,
      -0.001481256265825019,
      -0.0015394956184432694,
      -0.0015968537526496287,
      -0.0016533440555444824,
      -0.001708979611503033,
      -0.0017637733996405862,
      -0.0018177381156778774,
      -0.0018708862730231334,
      -0.0019232302261475624,
      -0.001974782155448124,
      -0.0020255540835093966,
      -0.0020755578077426536,
      -0.002124804882916422,
      -0.0021733068130421465,
      -0.0022210748610333904,
      -0.0022681201502013563,
      -0.0023144536316692097,
      -0.0023600860955300053,
      -0.0024050280669993024,
      -0.002449289917774562,
      -0.0024928819826112113,
      -0.0025358143901921004,
      -0.0025780972493030757,
      -0.0026197403067564746
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566542940125267,
      10.335449163095053,
      10.09584359946872,
      9.850889023310787,
      9.603157528852975,
      9.35490773611688,
      9.108105967462546,
      8.864396332217975,
      8.625083788791766,
      8.391127270665129,
      8.163166276992492,
      7.941555930373999,
      7.726394446682282,
      7.517560416980893,
      7.314767363021013,
      7.117612838560612,
      6.925619242291734,
      6.738271886354703,
      6.555052827362114,
      6.375462250300508,
      6.199039531428732,
      6.025368252515392,
      5.85408245981641,
      5.6848892582862245,
      5.5175743294600945,
      5.351999841034441,
      5.1881062238456686,
      5.025915726606276,
      4.865512941544456,
      4.707047168629412,
      4.550738455675641,
      4.396887149633442,
      4.245853230014374,
      4.098021605245552,
      3.953789118804673,
      3.8135488140047986,
      3.6776813541024818,
      3.546535185447868,
      3.420414022415055,
      3.299570102117013,
      3.18419984231025,
      3.0744418782478298,
      2.9703717830517995,
      2.871992639147036,
      2.779231691063404,
      2.691954705334436,
      2.609985972587211,
      2.533098360568631,
      2.46104188994496,
      2.3935655820420605,
      2.330405890773386,
      2.2712631943203605,
      2.2158087763677203,
      2.16367080802576,
      2.1144778794480366,
      2.0678796014830625,
      2.02355747232582,
      1.981225059515362,
      1.9406413338011788,
      1.9016059743542921,
      1.8639608104213303,
      1.8275779426435932,
      1.7923495555823614,
      1.758180564033031,
      1.7249929614338553,
      1.6927228109791927,
      1.6613164651306704,
      1.6307279039795277,
      1.6009168553832276,
      1.5718474602547305,
      1.5434874146878705,
      1.515806610982655,
      1.4887747771621505,
      1.4623640805632,
      1.4365493846062964,
      1.4113078875401708,
      1.386619181001961,
      1.3624649655565275,
      1.3388282680577406,
      1.3156925595578846,
      1.2930418404129462,
      1.2708606838646503,
      1.2491348869798458,
      1.2278525131818805,
      1.2070017648460811,
      1.1865707146847033,
      1.166548637414214,
      1.146926608004298,
      1.1276957356613753,
      1.1088475204085966,
      1.090373295096668,
      1.0722644302937672,
      1.0545120280434148,
      1.0371070705995928,
      1.0200405816396085,
      1.0033037278459402,
      0.9868878800063683,
      0.9707846486564182,
      0.9549859029378341,
      0.9394837777535766,
      0.9242706745240229,
      0.9093392572673424,
      0.8946824462175914,
      0.8802934097529133,
      0.8661655552924541,
      0.85229251950235,
      0.8386681590554372,
      0.8252865416057855,
      0.8121419367316891,
      0.799228806490962,
      0.7865417977171598,
      0.774075733653802,
      0.7618256066626797,
      0.7497865707613197,
      0.7379539344686826,
      0.7263231542555666,
      0.7148898286380357,
      0.7036496919810474,
      0.692598609112093,
      0.6817325697283221,
      0.67104768262004,
      0.6605401722994158,
      0.6502063732980385,
      0.6400427262932088,
      0.6300457465456328,
      0.6202119973920195,
      0.610538154755749,
      0.6010210077936124,
      0.5916574475498662,
      0.5824444584446609,
      0.5733791119971555,
      0.5644585615003305,
      0.5556800376655253,
      0.547040844691891,
      0.5385383826988717,
      0.5301701420179928,
      0.5219336634551874,
      0.5138267463575631,
      0.5058474884023332,
      0.4979939077989067,
      0.4902639488020047,
      0.4826555243342753,
      0.4751665443587981,
      0.4677949335452774,
      0.4605386423503228,
      0.45339565370127904,
      0.44636398689816065,
      0.4394416997799897,
      0.43262688940453403,
      0.4259176924283666,
      0.4193122847426568,
      0.41280893380722805,
      0.40640649442752197,
      0.40010399533874247,
      0.3939000143844497,
      0.3877927141436831,
      0.38178029940729463,
      0.3758610628047673,
      0.3700333654503686,
      0.36429562410759875,
      0.35864644552479336,
      0.3530846453831846,
      0.34760898461219963,
      0.3422181695250566,
      0.33691088032819694,
      0.33168578946669014,
      0.326541573044804,
      0.32147687184372825,
      0.3164901389248723,
      0.3115799520020103,
      0.30674501371414764,
      0.30198406647338927,
      0.2972958869011196,
      0.2926792904890058,
      0.28813313654825196,
      0.28365630288447424,
      0.279247683018428,
      0.27490618729749283,
      0.2706307435966923,
      0.2664202979461277,
      0.2622738143896629,
      0.2581902750700545,
      0.2541686800093097,
      0.2502083100083291,
      0.2463086718232386,
      0.2424691342928511,
      0.2386889591446282,
      0.2349673424126597,
      0.23130344214593843,
      0.22769639648159462,
      0.22414533571460354,
      0.22064939012830576,
      0.21720769490176664,
      0.21381939367921612,
      0.21048364053614432,
      0.20719960086057942,
      0.2039663763630208,
      0.20078304420378948,
      0.19764873731060104,
      0.19456262985691405,
      0.19152392748584016,
      0.18853186100275393,
      0.18558568184608287,
      0.1826846592061701,
      0.179828078019007,
      0.17701523748469092,
      0.17424545002915326,
      0.17151804049048963,
      0.16883234553955567,
      0.1661877132384165,
      0.16358350283124282,
      0.161019084277402,
      0.15849383799048208,
      0.15600715450860816,
      0.15355843449697695,
      0.15114708849746364,
      0.14877253667964757,
      0.1464342084970928,
      0.14413154270642384,
      0.14186398724688698,
      0.13963099903790083,
      0.13743204374526227,
      0.13526659550230144,
      0.1331341368149588,
      0.13103415861824527,
      0.1289661600084665,
      0.1269296480759892,
      0.12492413777501579,
      0.1229491517601183,
      0.12100422031625702,
      0.11908888124280977,
      0.11720267952539651,
      0.11534516736779647,
      0.11351590413812707,
      0.1117144562555296,
      0.10994039678154237,
      0.10819330571982073,
      0.106472769479542,
      0.1047783810789096,
      0.10310973997581055,
      0.10146645170347597,
      0.09984812815618696,
      0.09825438734925052,
      0.09668485316141673,
      0.09513915528782416,
      0.09361692925095556,
      0.09211781634223269,
      0.09064146343745468,
      0.08918752281832992,
      0.08775565218461079,
      0.08634551468509682,
      0.08495677858917369,
      0.08358911737029316,
      0.08224220958545805,
      0.08091573857846199,
      0.07960939279480181,
      0.07832286538616996,
      0.07705585428031787,
      0.07580806216296501,
      0.07457919617788022,
      0.07336896803391145,
      0.07217709394094822,
      0.07100329440939968,
      0.06984729425303464,
      0.06870882256911051,
      0.06758761265127383,
      0.06648340189895732,
      0.06539593167156847,
      0.06432494734831583,
      0.06327019813828441,
      0.06223143714367461,
      0.06120842135114005,
      0.06020091147540174,
      0.05920867181671852,
      0.05823147032557882,
      0.05726907852830783,
      0.056321271281373674,
      0.05538782706626345,
      0.054468527658383205,
      0.053563158298395364,
      0.05267150751036844,
      0.05179336686899204,
      0.050928531280579364,
      0.05007679866249331,
      0.04923797013708431,
      0.048411849944555926,
      0.047598245154570416,
      0.046796965700438356,
      0.046007824548231206,
      0.04523063753344154,
      0.04446522332340344,
      0.04371140333008485,
      0.042969001547213684,
      0.04223784475030361,
      0.04151776249735993,
      0.04080858685086091,
      0.04011015228747308,
      0.03942229590285393,
      0.03874485736923403,
      0.038077678555864594,
      0.03742060399802295,
      0.036773480520053324,
      0.03613615727147312,
      0.03550848562556028,
      0.03489031932854697,
      0.03428151417707293,
      0.03368192833053283,
      0.03309142210430893,
      0.032509857860648944,
      0.0319371000344513,
      0.03137301517646744,
      0.030817471864786027,
      0.03027034060527762,
      0.029731493930113827,
      0.029200806376895146,
      0.028678154297494735,
      0.028163415877413625,
      0.027656471200431118,
      0.02715720215525465,
      0.026665492539845813,
      0.02618122784881297,
      0.025704295232863415,
      0.025234583636338945,
      0.02477198361085229,
      0.024316387459594184,
      0.023867689166100978,
      0.02342578417000752,
      0.022990569696033112,
      0.02256194428143278,
      0.02213980812361271,
      0.021724062918148886,
      0.021314611830095725,
      0.020911359649576158,
      0.020514212469444536,
      0.020123077814049296,
      0.019737864595168925,
      0.019358483053944303,
      0.018984844981998285,
      0.01861686345863495,
      0.01825445279017126,
      0.017897528600462214,
      0.017546007767418055,
      0.01719980846623448,
      0.016858850090647873,
      0.01652305326772894,
      0.016192339877593265,
      0.015866632899836648,
      0.015545856582567956,
      0.015229936310798652,
      0.014918798447297635,
      0.014612370629578564,
      0.014310581594136075,
      0.014013361094141412,
      0.013720639897748783,
      0.013432349872850732,
      0.013148424006024147,
      0.012868796228976558,
      0.012593401420306283,
      0.012322175480694536,
      0.012055055329749174,
      0.01179197876679984,
      0.011532884544933295,
      0.01127771241061318,
      0.011026403070945328,
      0.010778897954836079,
      0.010535139485705548,
      0.01029507087464357,
      0.010058636254134903,
      0.009825780604886654,
      0.009596449832662179,
      0.009370590581592389,
      0.009148150253884086,
      0.008929077134211214,
      0.008713320199403175,
      0.00850082932550491,
      0.00829155507843756,
      0.008085448736299043,
      0.00788246223153821,
      0.00768254833153689,
      0.007485660586781118,
      0.0072917531550176174,
      0.007100780894772107,
      0.006912699487238443,
      0.0067274650778774555,
      0.006545034619692207,
      0.006365365691366083,
      0.006188416458097851,
      0.006014145723842655,
      0.005842512985730258,
      0.005673478173311882,
      0.005507002044904635,
      0.005343045976156307,
      0.005181571700301534,
      0.0050225415907542426,
      0.004865918716783481,
      0.004711666736775147,
      0.004559749691966418,
      0.004410132227923572,
      0.004262779513060233,
      0.004117657248161601,
      0.003974731716214241,
      0.0038339696946597156,
      0.003695338401262246,
      0.0035588055754400124,
      0.0034243394469688987,
      0.003291908725791297,
      0.003161482650970349,
      0.003033030850833166,
      0.002906523388797205,
      0.002781930754468806,
      0.0026592241677499406,
      0.0025383749757124418,
      0.0024193551447559496,
      0.002302137003871446,
      0.00218669318709833,
      0.00207299674877479,
      0.001961021286726379,
      0.0018507408130641622,
      0.0017421296523452202,
      0.0016351624933035813,
      0.0015298145631311203,
      0.0014260613201128739,
      0.0013238785420366086,
      0.0012232424280743369,
      0.0011241296773042417,
      0.0010265171680127344,
      0.0009303822296078029,
      0.0008357024835854972,
      0.0007424558449315574,
      0.0006506207279316672,
      0.000560175687639034,
      0.00047109979416577334,
      0.00038337221929347215,
      0.0002969725239922054,
      0.00021188062249354723,
      0.000128076862561265,
      4.554168110423809e-05,
      -3.57441863054805e-05,
      -0.00011579960299425592,
      -0.00019464320058153918,
      -0.00027229341407966466,
      -0.00034876829976897457,
      -0.00042408551059890115,
      -0.0004982626582616915,
      -0.0005713169623184804,
      -0.0006432654515913176,
      -0.00071412487177013,
      -0.0007839117003515665,
      -0.0008526422241637308,
      -0.0009203323423025208,
      -0.000986997908650054,
      -0.0010526543485828268,
      -0.001117316948857703,
      -0.0011810007264093085,
      -0.0012437205640366778,
      -0.001305491052341926,
      -0.0013663265341453232,
      -0.001426241180205697,
      -0.0014852488982921258,
      -0.0015433634579802642,
      -0.0016005983026821892,
      -0.0016569667235472906,
      -0.0017124818734245136,
      -0.0017671567484447623,
      -0.0018210039846653934,
      -0.001874036123946906,
      -0.001926265535979107,
      -0.00197770440962797,
      -0.002028364648011816,
      -0.002078258055352802,
      -0.002127396109478329,
      -0.0021757903062255613,
      -0.002223451962615003,
      -0.002270392242393431,
      -0.0023166219641786437,
      -0.0023621518987029678,
      -0.00240699267715614,
      -0.0024511546739369536,
      -0.0024946481688691816,
      -0.002537483342542466,
      -0.0025796701764771468,
      -0.00262121847312743
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566540836752058,
      10.335439703623258,
      10.095821648511423,
      9.85084976605436,
      9.603097247274224,
      9.354823898656292,
      9.107997022114727,
      8.864261467044695,
      8.62492290715141,
      8.390940965712712,
      8.16295530742423,
      7.94132104295866,
      7.726135986776892,
      7.517278482839316,
      7.314462012535541,
      7.117284080438837,
      6.925267070744017,
      6.7378963922388655,
      6.554654202139238,
      6.3750407969110565,
      6.198595641049825,
      6.024902581933706,
      5.853595901028974,
      5.684382871922908,
      5.51704942561696,
      5.351457980909834,
      5.187549216011666,
      5.025345549355274,
      4.864931755344647,
      4.706457440396569,
      4.550142924578772,
      4.3962892211624425,
      4.245256561423774,
      4.097429828841372,
      3.9532057673587673,
      3.812977320507351,
      3.6771250429452023,
      3.5459970398959086,
      3.419896640964095,
      3.299075667593967,
      3.1837301065389774,
      3.0739981576631914,
      2.9699548373030584,
      2.871602721079405,
      2.7788684384572315,
      2.691617214448486,
      2.6096726138085895,
      2.5328072728150004,
      2.460771062709104,
      2.3933128853421684,
      2.3301690328595934,
      2.271039782051411,
      2.215596257437418,
      2.163466416959431,
      2.114279087759813,
      2.0676841335159595,
      2.0233632818564717,
      1.9810304743808698,
      1.940445092191753,
      1.9014071558777683,
      1.8637587580694286,
      1.8273721917608112,
      1.7921397637953629,
      1.7579665030443448,
      1.7247745012429785,
      1.6924998912105218,
      1.6610890744438132,
      1.6304960653700218,
      1.6006806153684907,
      1.5716068818611733,
      1.5432425546161177,
      1.5155575467193598,
      1.4885216184282624,
      1.4621069311258856,
      1.4362883438695706,
      1.4110430742105842,
      1.3863507205475643,
      1.3621929845421803,
      1.3385528784590204,
      1.3154138625957739,
      1.2927599299627965,
      1.2705756483185922,
      1.248846956368842,
      1.2275619277349954,
      1.2067087077846415,
      1.1862753308062701,
      1.1662512564743095,
      1.146627556503403,
      1.1273952679153048,
      1.1085458302780327,
      1.0900705371249608,
      1.0719607264585405,
      1.0542074739124447,
      1.0368017440939907,
      1.0197345487175502,
      1.002997046232128,
      0.986580601836537,
      0.9704768219889608,
      0.9546775730502425,
      0.9391749879198664,
      0.9239614666811695,
      0.9090296722670526,
      0.8943725241204868,
      0.879983189708704,
      0.8658550757680273,
      0.8519818182477393,
      0.838357273622215,
      0.8249755086882112,
      0.8118307923645247,
      0.7989175863410378,
      0.78623053691017,
      0.7737644667712814,
      0.761514367782206,
      0.7494753933111764,
      0.7376428514050015,
      0.7260121981052224,
      0.714579031279288,
      0.7033390847475258,
      0.6922882227362063,
      0.6814224342259438,
      0.6707378280581553,
      0.6602306277000469,
      0.6498971672385302,
      0.6397338868377458,
      0.6297372996685997,
      0.6199039684928881,
      0.6102305691741602,
      0.6007138908104497,
      0.5913508241534859,
      0.5821383533197354,
      0.5730735496858606,
      0.5641535659985544,
      0.5553756323933355,
      0.5467370545428585,
      0.5382352415367445,
      0.5298676819032879,
      0.5216319120314168,
      0.5135258085046175,
      0.5055474713687733,
      0.49769488638803455,
      0.4899659758159235,
      0.48235863837095366,
      0.4748707746318101,
      0.4675003029626188,
      0.46024516967712664,
      0.45310335478791575,
      0.44607287564012055,
      0.43915178848119135,
      0.43233818933499873,
      0.4256302140941635,
      0.4190260379714056,
      0.41252397711308486,
      0.40612295273069493,
      0.39982194911556473,
      0.3936195926935311,
      0.3875140331392445,
      0.3815034342627382,
      0.3755860617291766,
      0.3697602588477756,
      0.3640244304889991,
      0.3583772028923333,
      0.3528173881440139,
      0.3473437329021839,
      0.3419549343091065,
      0.33664966654343476,
      0.33142659783023315,
      0.32628440165247796,
      0.32122171753945716,
      0.31623700466504745,
      0.31132884862466315,
      0.306495945735471,
      0.30173703426171733,
      0.2970508880291136,
      0.29243632224367916,
      0.28789219497740226,
      0.28341738271447436,
      0.2790107778316737,
      0.2746712898433444,
      0.2703978461355922,
      0.26618939234788397,
      0.2620448923685069,
      0.2579633281373967,
      0.2539436994491004,
      0.24998530588136414,
      0.24608765526077148,
      0.24225010909920142,
      0.23847192400105052,
      0.23475229274276155,
      0.23109037103856428,
      0.227485295577918,
      0.22393619565605508,
      0.22044220069382053,
      0.21700244547141376,
      0.21361607323682505,
      0.21028223780951916,
      0.20700010217042142,
      0.20376876479449152,
      0.20058730469582184,
      0.1974548561011056,
      0.19437059384335675,
      0.19133372413484168,
      0.1883434781840774,
      0.18539910762924883,
      0.1824998818224768,
      0.17964508578527993,
      0.17683401871352208,
      0.17406599311676085,
      0.17134033374940147,
      0.16865637731678937,
      0.1660134719312901,
      0.16341097685823194,
      0.16084826192746468,
      0.1583247075002139,
      0.1558397042087716,
      0.15339265271707747,
      0.1509829635588607,
      0.1486100567670494,
      0.14627336195539634,
      0.14397231791146453,
      0.14170637246942472,
      0.13947498249782156,
      0.1372776136266401,
      0.13511373996814646,
      0.13298284420584713,
      0.1308844172569576,
      0.12881795816948238,
      0.12678297406271977,
      0.1247789799075466,
      0.12280549845835555,
      0.12086205997305584,
      0.11894820224301658,
      0.11706347031566827,
      0.11520741636693438,
      0.1133795998318651,
      0.11157958711310041,
      0.10980695139459752,
      0.10806127255342989,
      0.10634213720161056,
      0.10464913836823629,
      0.10298187541279738,
      0.10133995400385674,
      0.09972298603599096,
      0.09813058947235966,
      0.09656238828396742,
      0.0950180122563712,
      0.09349709698808194,
      0.09199928388984775,
      0.09052421970734831,
      0.08907155674323061,
      0.0876409528053479,
      0.08623207110453851,
      0.08484457989106774,
      0.08347815267190606,
      0.08213246800394976,
      0.08080720940093922,
      0.07950206530208895,
      0.07821672903600621,
      0.07695089850632163,
      0.07570427632591713,
      0.07447656982196535,
      0.07326749081609639,
      0.07207675549380953,
      0.07090408442339047,
      0.06974920257787075,
      0.06861183908648048,
      0.06749172712258422,
      0.06638860415263556,
      0.06530221169844949,
      0.0642322951206036,
      0.06317860378162679,
      0.062140890842643445,
      0.061118913353473726,
      0.06011243195955272,
      0.05912121106138177,
      0.058145018650321116,
      0.057183626298148535,
      0.056236809045038375,
      0.05530434546606173,
      0.05438601738180585,
      0.05348160995662252,
      0.05259091169782329,
      0.05171371442933934,
      0.05084981307449522,
      0.049999005679119086,
      0.04916109336702122,
      0.04833588032305443,
      0.04752317373015929,
      0.046722783683330875,
      0.04593452319049442,
      0.04515820814615618,
      0.044393657236994,
      0.04364069188618558,
      0.042899136329174165,
      0.0421688174235364,
      0.04144956457669997,
      0.04074120996044239,
      0.040043588163187406,
      0.039356536385978254,
      0.03867989433655044,
      0.038013504031392496,
      0.037357210007511805,
      0.036710859133224895,
      0.03607430055856653,
      0.035447385766624075,
      0.03482996845569929,
      0.03422190465564772,
      0.03362305245588383,
      0.03303327229465362,
      0.03245242666875423,
      0.03188037999143291,
      0.0313169988581893,
      0.03076215189488963,
      0.030215709677149826,
      0.029677544931311178,
      0.02914753213855974,
      0.02862554768110119,
      0.02811146982957695,
      0.027605178782658734,
      0.027106556561367214,
      0.026615486846747572,
      0.026131855275889865,
      0.025655549020005802,
      0.02518645711298501,
      0.024724470189017807,
      0.02426948057647793,
      0.02382138225188568,
      0.023380070794066767,
      0.02294544334451311,
      0.022517398541866955,
      0.02209583686326335,
      0.021680659935529898,
      0.021271771060142303,
      0.020869074916872534,
      0.020472477686973474,
      0.020081887003840695,
      0.01969721182018625,
      0.0193183625732384,
      0.01894525103090998,
      0.018577790251745545,
      0.018215894619543968,
      0.017859479876839206,
      0.01750846283927117,
      0.017162761674122316,
      0.01682229596753813,
      0.0164869864858912,
      0.016156755049566845,
      0.015831524735551477,
      0.015511219715793143,
      0.015195765386260548,
      0.014885088398958185,
      0.014579116348776068,
      0.014277777960568753,
      0.013981003013080008,
      0.013688722362739601,
      0.013400868009748178,
      0.01311737282490614,
      0.012838170839804566,
      0.01256319707740182,
      0.01229238746885809,
      0.012025678958430666,
      0.011763009351673894,
      0.01150431749767232,
      0.011249543208158285,
      0.01099862710979666,
      0.010751510831195408,
      0.010508136680742181,
      0.010268448061452084,
      0.010032389165860679,
      0.009799905030873256,
      0.009570941487624348,
      0.00934544520318782,
      0.009123363713142074,
      0.00890464529849142,
      0.00868923901174044,
      0.008477094648634265,
      0.008268162812131385,
      0.008062394896679018,
      0.007859743024514696,
      0.007660159947244121,
      0.00746359919089083,
      0.0072700150135764875,
      0.007079362225956721,
      0.006891596516659477,
      0.006706674214426203,
      0.006524552212445876,
      0.006345188110869142,
      0.0061685401901494605,
      0.005994567285667094,
      0.00582322888691253,
      0.005654485048491077,
      0.005488296481318249,
      0.005324624551387054,
      0.005163431146901044,
      0.005004678757932749,
      0.004848330271724145,
      0.004694349367907639,
      0.0045427001850067445,
      0.004393347421442827,
      0.004246256324240413,
      0.004101392597144934,
      0.003958722494879276,
      0.0038182128689795676,
      0.003679830961190843,
      0.0035435445231184913,
      0.0034093218421896196,
      0.0032771316681595624,
      0.0031469432619415033,
      0.00301872633251834,
      0.002892451038811791,
      0.002768087980629969,
      0.002645608223243952,
      0.002524983158264282,
      0.0024061847286347307,
      0.002289185267502,
      0.0021739576059112897,
      0.0020604747561398374,
      0.0019487102894766275,
      0.001838638213065868,
      0.0017302329508412614,
      0.0016234691856139574,
      0.0015183221733896194,
      0.001414767359758289,
      0.0013127806845034033,
      0.0012123383916049398,
      0.0011134170058730113,
      0.0010159935780302135,
      0.000920045410176921,
      0.0008255501383521749,
      0.000732485759240515,
      0.0006408306774404132,
      0.0005505635251730341,
      0.0004616632884219136,
      0.00037410928797073473,
      0.0002878811109985389,
      0.00020295862630761167,
      0.00011932221073113875,
      3.6952315659171634e-05,
      -4.417029137683182e-05,
      -0.00012406454524255405,
      -0.00020274897917766413,
      -0.00028024200122354524,
      -0.00035656156574791914,
      -0.0004317253648345434,
      -0.0005057508976012309,
      -0.00057865543727683,
      -0.0006504560225607435,
      -0.000721169359210491,
      -0.0007908118728958624,
      -0.0008593997163407542,
      -0.0009269489155654758,
      -0.0009934752545759644,
      -0.0010589942037453272,
      -0.001123521006113874,
      -0.0011870706099281374,
      -0.0012496578990966309,
      -0.0013112974399090984,
      -0.0013720036019536737,
      -0.0014317905253163165,
      -0.0014906721443433896,
      -0.001548662095976808,
      -0.0016057739324367038,
      -0.0016620209899055145,
      -0.0017174162946713952,
      -0.0017719726522325097,
      -0.0018257028758810654,
      -0.0018786194742265977,
      -0.0019307348150137565,
      -0.0019820610590953742,
      -0.0020326100554320116,
      -0.002082393584890955,
      -0.0021314232665239465,
      -0.0021797105014711745,
      -0.0022272664921810697,
      -0.0022741023054569333,
      -0.0023202288906618747,
      -0.002365656893515104,
      -0.002410396965014652,
      -0.0024544596253182308,
      -0.002497855018513755,
      -0.0025405933091026457,
      -0.0025826844289415125,
      -0.0026241382245959506
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566538739177187,
      10.335430273027445,
      10.09579970604725,
      9.850810426408328,
      9.60303678690404,
      9.354739804529508,
      9.10788775758608,
      8.864126232501743,
      8.624761616639162,
      8.390754220744434,
      8.162743870556529,
      7.941085662057604,
      7.72587700885322,
      7.516996009975832,
      7.314156108602494,
      7.1169547583643915,
      6.924914326046597,
      6.737520317048424,
      6.554254989397963,
      6.374618747864815,
      6.198151147596109,
      6.024436300863248,
      5.853108723468044,
      5.683875857042951,
      5.516523881795996,
      5.350915465848771,
      5.1869915362544905,
      5.024774682158263,
      4.864349859828419,
      4.705866983042072,
      4.549546643596356,
      4.395690522973409,
      4.244659103415769,
      4.09683724260325,
      3.952621585257794,
      3.8124049750810727,
      3.6765678596571627,
      3.5454580025188287,
      3.4193783488078386,
      3.298580305681017,
      3.183259426774276,
      3.0735534761486143,
      2.969536913123705,
      2.8712118079480335,
      2.7785041764822602,
      2.691278699999093,
      2.6093582172336447,
      2.532515132733247,
      2.460499170791865,
      2.3930591129946945,
      2.3299310892694263,
      2.2708152758700906,
      2.21538263920874,
      2.1632609236578886,
      2.1140791959557674,
      2.067487575842731,
      2.0231680185480396,
      1.9808348378295346,
      1.9402478234698357,
      1.9012073374085214,
      1.8635557350143048,
      1.8271655007924734,
      1.7919290620953996,
      1.757751561557516,
      1.7245551888584272,
      1.692276146303893,
      1.6608608845519113,
      1.6302634522975996,
      1.600443624993396,
      1.5713655763667829,
      1.5429969899186873,
      1.5153077999940865,
      1.4882677993611728,
      1.4618491426643676,
      1.4360266844807175,
      1.410777661603364,
      1.3860816796966684,
      1.3619204407061394,
      1.3382769428209673,
      1.3151346359495981,
      1.292477505567259,
      1.27029011345771,
      1.2485585407997006,
      1.2272708713861513,
      1.2064151935537852,
      1.1859795028928841,
      1.165953444069473,
      1.1463280861901886,
      1.1270943931656359,
      1.1082437436926134,
      1.0897673925895417,
      1.0716566455915872,
      1.053902551713504,
      1.0364960580135143,
      1.0194281644939662,
      1.0026900216740438,
      0.9862729883495799,
      0.9701686674104979,
      0.9543689223867104,
      0.9388658843286208,
      0.9236519517820873,
      0.9087197869540852,
      0.8940623081452309,
      0.8796726821203985,
      0.8655443146846089,
      0.8516708412290511,
      0.838046117577833,
      0.8246642099303038,
      0.8115193865002465,
      0.7986061087165782,
      0.7859190223350264,
      0.7734529496933686,
      0.7612028818449895,
      0.7491639715125055,
      0.7373315262486558,
      0.7257010015917044,
      0.7142679949652873,
      0.703028239874365,
      0.6919775998682787,
      0.6811120634152287,
      0.6704277386449147,
      0.6599208486912237,
      0.6495877271699739,
      0.6394248135273536,
      0.6294286188938244,
      0.6195957054797862,
      0.6099227493920202,
      0.6004065395658686,
      0.5910439666878068,
      0.5818320143666458,
      0.5727677533528471,
      0.5638483359720682,
      0.5550709920359658,
      0.5464330322486038,
      0.5379318726958767,
      0.5295649967845653,
      0.5213299691494474,
      0.5132247266401633,
      0.505247340441666,
      0.49739576937008806,
      0.48966791809261323,
      0.4820616738349013,
      0.4745749293410031,
      0.46720559785257393,
      0.45995162200429573,
      0.4528109794546182,
      0.44578168574358024,
      0.4388617959797585,
      0.43204940522263113,
      0.4253426486185616,
      0.41873970081999384,
      0.41223892667593565,
      0.405839313819378,
      0.39953980211265594,
      0.393339035677865,
      0.3872351936225376,
      0.38122639438398975,
      0.37531087418904774,
      0.3694869569744628,
      0.3637530348220698,
      0.3581077524979355,
      0.35254991807936537,
      0.347078264075887,
      0.34169147810075534,
      0.3363882280881703,
      0.3311671781198176,
      0.32602699886774944,
      0.3209663285474931,
      0.3159836325105611,
      0.31107750394302147,
      0.30624663281589937,
      0.30148975328350036,
      0.2968056364388917,
      0.2921930971630383,
      0.28765099247775217,
      0.2831781973148475,
      0.27877360305691684,
      0.2744361185604061,
      0.2701646707961807,
      0.26595820501099543,
      0.2618156847583085,
      0.2577360917102627,
      0.25371842555986174,
      0.24976200444388005,
      0.24586633735915908,
      0.24203077833581488,
      0.23825457908148137,
      0.23453692894653433,
      0.2308769814467845,
      0.22727387178249847,
      0.22372672815617306,
      0.22023467927439855,
      0.2167968595013579,
      0.21341241177353276,
      0.21008048968829135,
      0.20680025375203478,
      0.20357079912405335,
      0.200391206668373,
      0.1972606118810864,
      0.19417819042858456,
      0.19114314901165036,
      0.1881547190852447,
      0.18521215269917202,
      0.18231471928676912,
      0.17946170391238514,
      0.17665240583946412,
      0.17388613749128745,
      0.17116222377529772,
      0.1684800013566121,
      0.16583881832965588,
      0.16323803391858066,
      0.16067701799007447,
      0.1581551508861104,
      0.15567182325199053,
      0.15322643574543576,
      0.15081839886790982,
      0.14844713268248722,
      0.14611206680596442,
      0.14381263996313137,
      0.14154830000548263,
      0.1393185037265126,
      0.13712271677903262,
      0.1349604133448117,
      0.13283107614062895,
      0.1307341960678928,
      0.12866927221115093,
      0.1266358117143964,
      0.12463332963794463,
      0.12266134866714103,
      0.12071939908050702,
      0.11880701867741324,
      0.11692375250015831,
      0.115069152865593,
      0.11324277913320553,
      0.1114441977374349,
      0.10967298186772106,
      0.10792871141834197,
      0.10621097294721862,
      0.10451935957404436,
      0.10285347076644787,
      0.10121291219807786,
      0.0995972958688626,
      0.09800623981432578,
      0.09643936784752716,
      0.0948963098360506,
      0.09337670145219214,
      0.09188018402610611,
      0.09040640453250808,
      0.08895501536168125,
      0.08752567429346748,
      0.0861180445091769,
      0.08473179439027019,
      0.08336659750985675,
      0.0820221323563687,
      0.08069808257381252,
      0.07939413667330388,
      0.0781099879366842,
      0.07684533428316379,
      0.07559987854039775,
      0.07437332807789089,
      0.0731653946892712,
      0.07197579457907735,
      0.07080424842622161,
      0.0696504812502983,
      0.0685142221856674,
      0.06739520454085507,
      0.06629316588593459,
      0.06520784771001473,
      0.0641389955194054,
      0.06308635868661566,
      0.06204969041839157,
      0.0610287478428347,
      0.06002329167548579,
      0.05903308629279657,
      0.05805789982249047,
      0.05709750382483179,
      0.05615167347340808,
      0.05522018722430196,
      0.0543028270988545,
      0.05339937838493451,
      0.05250962963349961,
      0.05163337267365591,
      0.05077040247827966,
      0.04992051710442026,
      0.04908351782695832,
      0.048259208880418014,
      0.04744739752385266,
      0.04664789399249202,
      0.045860511308731346,
      0.04508506545956497,
      0.044321375184465876,
      0.043569261805438145,
      0.042828549706496834,
      0.04209906578450441,
      0.04138063963482792,
      0.040673103394274095,
      0.03997629174948975,
      0.039290041885129856,
      0.03861419355612807,
      0.03794858900434948,
      0.03729307268135514,
      0.03664749148204458,
      0.036011694704462985,
      0.035385533933204684,
      0.03476886296647673,
      0.0341615378280635,
      0.033563416755917445,
      0.03297436014203703,
      0.032394230493369994,
      0.03182289236919405,
      0.03126021245684354,
      0.030706059413523886,
      0.030160303875253328,
      0.029622818485749183,
      0.02909347790165269,
      0.0285721586208281,
      0.028058739002066985,
      0.027553099286140074,
      0.02705512150922779,
      0.02656468944890311,
      0.026081688697631167,
      0.02560600650810008,
      0.025137532109237054,
      0.02467615613284008,
      0.024221770930193565,
      0.02377427053883297,
      0.02333355068782278,
      0.0228995084914875,
      0.022472042651066337,
      0.022051053547999862,
      0.021636442986005873,
      0.021228114296450756,
      0.020825972314464813,
      0.020429923257749737,
      0.02003987480445306,
      0.01965573595421188,
      0.01927741714271617,
      0.01890483015150397,
      0.018537888169531933,
      0.018176505624826842,
      0.017820598243757528,
      0.017470083077047376,
      0.017124878384473314,
      0.01678490365824768,
      0.016450079708330935,
      0.016120328402781853,
      0.015795572876896754,
      0.015475737359091333,
      0.015160747510176674,
      0.014850529820029901,
      0.014545011911236774,
      0.014244122554249825,
      0.01394779165516423,
      0.013655950063719538,
      0.013368529874727317,
      0.01308546404074767,
      0.012806686516386194,
      0.012532132419269645,
      0.012261737667221181,
      0.011995439299732055,
      0.011733175275382167,
      0.011474884463904551,
      0.011220506641789092,
      0.010969982516811074,
      0.010723253686442804,
      0.010480262605832255,
      0.010240952692933453,
      0.010005268157329248,
      0.009773154048686785,
      0.009544556295607257,
      0.009319421709707986,
      0.009097697808650591,
      0.008879332845882871,
      0.008664275963556881,
      0.008452477012178182,
      0.008243886614815848,
      0.00803845611305955,
      0.007836137719761833,
      0.007636884248589925,
      0.007440649234444775,
      0.007247387024660871,
      0.00705705254883542,
      0.006869601479182166,
      0.006684990139191371,
      0.006503175491491889,
      0.0063241151594684375,
      0.006147767464762846,
      0.005974091295424792,
      0.005803046109952926,
      0.0056345920580191085,
      0.0054686899195838835,
      0.005305301071771023,
      0.005144387413630531,
      0.004985911375653636,
      0.004829836096768423,
      0.004676125177746354,
      0.004524742818315683,
      0.004375653784835421,
      0.004228823214603137,
      0.004084216930821347,
      0.003941801289340342,
      0.003801543071880704,
      0.003663409635794243,
      0.003527368804783775,
      0.0033933888826522952,
      0.003261438668885267,
      0.0031314873297621556,
      0.003003504525329911,
      0.002877460532138573,
      0.002753325954781228,
      0.0026310718521895876,
      0.002510669751320871,
      0.0023920915735069982,
      0.00227530970239161,
      0.0021602968753705386,
      0.002047026356694954,
      0.0019354717942032314,
      0.0018256071222000339,
      0.001717406745515567,
      0.0016108454771125073,
      0.0015058985092271638,
      0.0014025413667609822,
      0.0013007499004196279,
      0.0012005004654013422,
      0.001101769688460955,
      0.0010045345608233323,
      0.0009087723858184516,
      0.0008144610463127188,
      0.0007215784150617313,
      0.0006301028214418866,
      0.0005400129407851711,
      0.00045128780627623423,
      0.00036390673276359253,
      0.00027784935019827304,
      0.00019309562541856536,
      0.00010962583442759775,
      2.7420542181708023e-05,
      -5.35394355626573e-05,
      -0.00013327299308444333,
      -0.00021179864341430796,
      -0.0002891346865104814,
      -0.00036529916020964614,
      -0.0004403098092060298,
      -0.0005141841674248557,
      -0.0005869394551978546,
      -0.0006585926596515097,
      -0.0007291603913523017,
      -0.0007986590895852638,
      -0.0008671049404106304,
      -0.0009345139466516123,
      -0.0010009018380736623,
      -0.0010662839995031726,
      -0.0011306757795278627,
      -0.0011940920606066758,
      -0.0012565476485666871,
      -0.0013180571078943188,
      -0.001378634729970259,
      -0.001438294652699602,
      -0.001497050852534876,
      -0.0015549169511618278,
      -0.0016119064217102882,
      -0.001668032616156766,
      -0.0017233085442172383,
      -0.0017777471470441803,
      -0.0018313610617537095,
      -0.0018841627666720926,
      -0.0019361645409349726,
      -0.0019873785639092875,
      -0.00203781679109411,
      -0.002087490918329317,
      -0.0021364125358946037,
      -0.0021845930786541035,
      -0.002232043667279186,
      -0.0022787753555591757,
      -0.0023247991864856856,
      -0.0023701258221559525,
      -0.002414765801949291,
      -0.002458729507435019,
      -0.0025020272604958102,
      -0.0025446691094438813,
      -0.0025866649192079583,
      -0.0026280245501094255
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566536645874779,
      10.335420861850784,
      10.095777759138908,
      9.850771018498822,
      9.602976199835917,
      9.35465553254769,
      9.107778271509206,
      8.863990740437707,
      8.624599961981012,
      8.390566937580294,
      8.162531730304224,
      7.940849432963612,
      7.725617061734712,
      7.5167124678003345,
      7.313849051432858,
      7.116624212106542,
      6.924560295729421,
      6.737142903730955,
      6.553854392748002,
      6.374195276208182,
      6.197705197652647,
      6.023968529813296,
      5.852620022667076,
      5.683367286025816,
      5.515996750840928,
      5.35037133366743,
      5.186432208530773,
      5.024202137849072,
      4.86376626020601,
      4.705274796825522,
      4.548948640520192,
      4.3950901380604055,
      4.244059991848128,
      4.096243034744339,
      3.9520358131780378,
      3.8118310718965884,
      3.67600914928904,
      3.5449174674893658,
      3.418858586540678,
      3.2980834988924563,
      3.182787326400751,
      3.073107397688277,
      2.9691176143616107,
      2.8708195397052267,
      2.778138574472922,
      2.69093885631951,
      2.609042499967174,
      2.5322216796805246,
      2.460225973334593,
      2.392804043105027,
      2.329691856234366,
      2.270589488826304,
      2.2151677490143986,
      2.163054168290937,
      2.113878055633063,
      2.0672897903434326,
      2.0229715527732623,
      1.9806380286419791,
      1.9400494148082552,
      1.9010064128132151,
      1.8633516403727663,
      1.8269577728443664,
      1.7917173567051907,
      1.7575356477191368,
      1.7243349336016958,
      1.6920514866044232,
      1.6606318068132042,
      1.6300299776712532,
      1.6002057984815128,
      1.5711234592158234,
      1.5427506400561117,
      1.5150572926960273,
      1.4880132426320236,
      1.4615906386556057,
      1.4357643305351449,
      1.4105115746446892,
      1.3858119841066545,
      1.3616472613988637,
      1.3380003898718722,
      1.314854809557825,
      1.2921944978964766,
      1.270004011472285,
      1.2482695740042835,
      1.2269792790704488,
      1.20612115861105,
      1.1856831690886627,
      1.1656551395310906,
      1.1460281358093813,
      1.126793050334988,
      1.1079412013783638,
      1.0894638040671571,
      1.071352131760242,
      1.0535972074072448,
      1.0361899601568163,
      1.0191213781953483,
      1.0023826032452468,
      0.9859649894260493,
      0.9698601357020986,
      0.954059902824031,
      0.9385564197406565,
      0.9233420835647405,
      0.9084095549668153,
      0.8937517518705643,
      0.8793618401376158,
      0.8652332248478136,
      0.8513595408884116,
      0.8377346435388061,
      0.8243525984560042,
      0.8112076733061838,
      0.7982943290597568,
      0.7856072108915395,
      0.7731411403775348,
      0.7608911082816635,
      0.7488522669168178,
      0.7370199230951391,
      0.7253895320379556,
      0.7139566907346415,
      0.7027171318262019,
      0.6916667183730608,
      0.6808014383663842,
      0.6701173994886844,
      0.659610824525454,
      0.6492780462512477,
      0.6391155036345726,
      0.62911970592918,
      0.6192872145774455,
      0.609614705763109,
      0.6000989681687781,
      0.5907368921464544,
      0.5815254612643254,
      0.572461745782523,
      0.5635428976147142,
      0.5547661459270048,
      0.5461288088555634,
      0.5376283069014977,
      0.5292621182117941,
      0.5210278457243858,
      0.5129234813622027,
      0.5049470578929985,
      0.4970965091343195,
      0.48936972341834384,
      0.48176457698400554,
      0.4742789553183039,
      0.46691076680889404,
      0.45965795085547406,
      0.4525184827472878,
      0.44549037643221756,
      0.4385716857105706,
      0.43176050486315787,
      0.4250549683736612,
      0.418453250214436,
      0.41195377972493613,
      0.40555558907952516,
      0.39925757617442803,
      0.3930583982473814,
      0.38695627241411595,
      0.3809492716077048,
      0.3750356026147961,
      0.3692135697943831,
      0.3634815595835757,
      0.357838231765101,
      0.3522823832311956,
      0.3468127333702681,
      0.34142796119573493,
      0.33612672895101725,
      0.3309076970093503,
      0.3257695333965643,
      0.32071087497349726,
      0.315730199182499,
      0.31082609907636005,
      0.30599725917790593,
      0.3012424101421903,
      0.2965603205549705,
      0.29194980528421,
      0.2874097203827318,
      0.2829389393612092,
      0.2785363527515359,
      0.2742008687043247,
      0.26993141371422674,
      0.2657269325869712,
      0.26158638863162176,
      0.2575087633171799,
      0.2534930582576385,
      0.24953860923028232,
      0.24564492409928274,
      0.24181134980239996,
      0.23803713353671574,
      0.2343214614712698,
      0.23066348493845987,
      0.22706233762513964,
      0.22351714671792994,
      0.22002704036191964,
      0.2165911524035802,
      0.21320862554385578,
      0.20987861301759997,
      0.2066002729067422,
      0.20337269712981026,
      0.20019496848822407,
      0.1970662237335334,
      0.19398563930068363,
      0.19095242247954022,
      0.18796580508524838,
      0.1850250392353685,
      0.1821293945201658,
      0.17927815609676057,
      0.17647062337144756,
      0.17370610880739143,
      0.17098393728056624,
      0.1683034454156405,
      0.1656639813205378,
      0.16306490405728755,
      0.16050558366884302,
      0.15798540054107255,
      0.15550374516056356,
      0.15306001819790907,
      0.15065363016650019,
      0.14828400107651896,
      0.14595056050909666,
      0.14365274723968963,
      0.14139000923127973,
      0.1391618032143023,
      0.1369675948958093,
      0.13480685844443058,
      0.13267907659796727,
      0.1305837403124248,
      0.1285203486013706,
      0.12648840861555607,
      0.12448743530814287,
      0.12251695150571819,
      0.12057648746902598,
      0.11866558097330596,
      0.11678377711269879,
      0.11493062828706206,
      0.11310569386204947,
      0.1113085402841261,
      0.1095387408109876,
      0.10779587537882154,
      0.10607953053560405,
      0.10438929943458021,
      0.102724781543633,
      0.10108558268798597,
      0.09947131480181375,
      0.09788159585322415,
      0.09631604983410985,
      0.09477430664294256,
      0.09325600208971078,
      0.09176077748204069,
      0.0902882797581775,
      0.08883816124466497,
      0.0874100798719259,
      0.08600369895450528,
      0.08461868694200626,
      0.08325471737619405,
      0.08191146894190443,
      0.08058862514163237,
      0.07928587448690814,
      0.07800291036036727,
      0.07673943094940074,
      0.0754951388852334,
      0.07426974162941763,
      0.07306295104144322,
      0.07187448345159649,
      0.07070405957508097,
      0.06955140436281435,
      0.0684162470073051,
      0.06729832107534597,
      0.06619736396943293,
      0.06511311732600752,
      0.0640453266846105,
      0.06299374155318145,
      0.06195811518590309,
      0.06093820469572927,
      0.05993377096203462,
      0.058944578447156545,
      0.05797039527747823,
      0.05701099309334561,
      0.05606614696897692,
      0.05513563558085361,
      0.054219240899474344,
      0.053316748297839625,
      0.0524279464143762,
      0.05155262714313255,
      0.05069058554070062,
      0.04984161980203835,
      0.04900553121650384,
      0.048182124068853555,
      0.04737120561799513,
      0.046572586201888935,
      0.045786078895729714,
      0.04501149970890096,
      0.044248667410884006,
      0.043497403673420074,
      0.042757532724088596,
      0.0420288815377783,
      0.04131127971075993,
      0.04060455949768696,
      0.039908555655170215,
      0.03922310539314038,
      0.03854804858419017,
      0.03788322741659581,
      0.03722848653980848,
      0.036583672942603604,
      0.03594863592626147,
      0.03532322710839455,
      0.03470730035043239,
      0.03410071184606614,
      0.03350331981781483,
      0.03291498465413449,
      0.032335568965750655,
      0.03176493736747622,
      0.031202956598611803,
      0.03064949545420168,
      0.030104424660675422,
      0.02956761689262708,
      0.029038946739782107,
      0.02851829085308227,
      0.028005527685403545,
      0.027500537410723547,
      0.02700320223198488,
      0.026513405907725236,
      0.026031034137448426,
      0.025555974267086074,
      0.02508811545288679,
      0.02462734856496335,
      0.024173565976642414,
      0.023726661779395992,
      0.023286531686577103,
      0.022853072975319657,
      0.02242618436421131,
      0.02200576631042236,
      0.021591720607098443,
      0.02118395071786882,
      0.02078236141783699,
      0.0203868589871169,
      0.019997351161570878,
      0.01961374701973608,
      0.01923595707839345,
      0.018863893202802344,
      0.0184974685222206,
      0.018136597566787458,
      0.01778119612355535,
      0.017431181364286022,
      0.017086471603883165,
      0.01674698636169183,
      0.01641264647903062,
      0.016083373897624292,
      0.015759091799270448,
      0.015439724431739278,
      0.015125197371798113,
      0.01481543725884367,
      0.014510371780755439,
      0.014209929854977845,
      0.01391404146413967,
      0.013622637451557736,
      0.013335649905387194,
      0.013053011714070613,
      0.012774657053968467,
      0.012500521022846706,
      0.012230539728985905,
      0.011964650148892805,
      0.01170279019156778,
      0.011444898798674899,
      0.011190915844917911,
      0.010940782151150788,
      0.010694439353969597,
      0.010451829979690455,
      0.010212897411489159,
      0.009977585877065417,
      0.009745840471624783,
      0.009517607184219751,
      0.009292832812965144,
      0.009071464940951908,
      0.00885345195329428,
      0.008638742980626803,
      0.008427288005126002,
      0.008219037759585662,
      0.008013943584981661,
      0.007811957589477524,
      0.007613032657577485,
      0.007417122430711526,
      0.007224181125214652,
      0.0070341638745968086,
      0.006847026311349924,
      0.00666272478751991,
      0.0064812164068105554,
      0.006302458767215786,
      0.006126410157181416,
      0.00595302963387437,
      0.005782276594914422,
      0.005614111293689355,
      0.005448494549629162,
      0.005285387657958682,
      0.005124752657786021,
      0.0049665520429475985,
      0.004810748958562908,
      0.004657307062568913,
      0.004506190535842769,
      0.0043573641513687394,
      0.004210793238008325,
      0.004066443601382007,
      0.003924281542599558,
      0.0037842738530009367,
      0.0036463879892717228,
      0.003510591741945454,
      0.0033768534590637896,
      0.003245141991835942,
      0.0031154265467672926,
      0.0029876768830658525,
      0.002861863251177735,
      0.0027379562822541677,
      0.0026159271526647945,
      0.002495747401131811,
      0.0023773888932285777,
      0.00226082404165847,
      0.00214602567888351,
      0.0020329670333373556,
      0.0019216218085945612,
      0.0018119639720211508,
      0.0017039679008416433,
      0.0015976085358286088,
      0.0014928610539361419,
      0.0013897009490770977,
      0.0012881041203455599,
      0.0011880468918370733,
      0.001089505977041009,
      0.0009924584446506673,
      0.0008968816284428376,
      0.0008027533374605476,
      0.000710051514382755,
      0.0006187545049862627,
      0.000528841113224964,
      0.00044029031442897903,
      0.0003530815418861425,
      0.00026719433226891025,
      0.0001826087099484625,
      9.930498107936805e-05,
      1.7263637383069285e-05,
      -6.353442150742912e-05,
      -0.00014310805210217107,
      -0.00022147568024648306,
      -0.0002986556533857795,
      -0.00037466601999984624,
      -0.00044952449861969526,
      -0.000523248490210012,
      -0.0005958551845977939,
      -0.0006673614943589519,
      -0.0007377841721685936,
      -0.0008071396347556798,
      -0.0008754440275111328,
      -0.0009427132750073759,
      -0.0010089630290507526,
      -0.0010742088065416834,
      -0.0011384657129620843,
      -0.0012017489029812038,
      -0.0012640731495838467,
      -0.0013254528768976,
      -0.001385902407706415,
      -0.0014454357841613792,
      -0.0015040669502086278,
      -0.0015618096091411474,
      -0.0016186771883577426,
      -0.001674682879285239,
      -0.0017298398356424896,
      -0.0017841609068337653,
      -0.0018376587838039274,
      -0.0018903459536199134,
      -0.0019422346147368354,
      -0.0019933369350176046,
      -0.0020436647557318206,
      -0.0020932298672989335,
      -0.002142043820075785,
      -0.002190118058696749,
      -0.0022374637509020266,
      -0.002284091933083226,
      -0.0023300135089937392,
      -0.002375239184620303,
      -0.002419779420977369,
      -0.0024636445833549664,
      -0.002506844982070232,
      -0.0025493907220415744,
      -0.0025912917489135517,
      -0.002632557760836161
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566534562744895,
      10.335411499782978,
      10.095755860831728,
      9.850731619623216,
      9.602915607237206,
      9.354571259301432,
      9.107668802037578,
      8.863855294694336,
      8.624438374112398,
      8.390379730317079,
      8.162319681199845,
      7.940613264874473,
      7.725357105145084,
      7.516428868419319,
      7.313541908608633,
      7.116293566210972,
      6.924206165611534,
      6.736765403352476,
      6.553453733720266,
      6.3737717751305585,
      6.197259258139432,
      6.0235008152588545,
      5.852131428625716,
      5.68285887575295,
      5.515469837281465,
      5.349827476287373,
      5.18587321473423,
      5.02362998740884,
      4.863183113945658,
      4.704683122702904,
      4.548351236171233,
      4.394490461562199,
      4.243461686742105,
      4.09564971982107,
      3.9514510084202517,
      3.811258197387501,
      3.6754515175393054,
      3.544378049668382,
      3.41833997019174,
      3.2975878561966856,
      3.1823163981456446,
      3.0726624896351415,
      2.968699474989769,
      2.8704284148355272,
      2.777774095495023,
      2.6906001109780777,
      2.6087278526789226,
      2.5319292648904668,
      2.4599537810521763,
      2.3925499445977434,
      2.3294535606204865,
      2.2703646059810776,
      2.214953731585053,
      2.162848257210577,
      2.1136777360324683,
      2.0670928102260318,
      2.022775883778029,
      1.980442012969769,
      1.9398518007902015,
      1.9008062871200246,
      1.8631483510827498,
      1.8267508579693297,
      1.7915064726129941,
      1.7573205637474303,
      1.7241155176242018,
      1.6918276757703972,
      1.6604035874360275,
      1.6297973707520974,
      1.5999688487099109,
      1.570882227465144,
      1.5425051894149655,
      1.5148076960643044,
      1.4877596064423317,
      1.461333063630545,
      1.4355029136464255,
      1.410246432179652,
      1.3855432395952247,
      1.3613750395007809,
      1.3377248006993285,
      1.314575953026641,
      1.2919124666850985,
      1.2697188925856635,
      1.2479815965126186,
      1.2266886818106209,
      1.205828123546592,
      1.1853879103434242,
      1.1653580180919203,
      1.1457294395715305,
      1.126493007489722,
      1.1076399876364502,
      1.0891615615370325,
      1.0710489741073739,
      1.0532932246253692,
      1.0358852260528117,
      1.0188159555584742,
      1.0020765477759694,
      0.9856583516654382,
      0.9695529626934146,
      0.9537522390009331,
      0.938248307907105,
      0.9230335651031776,
      0.9081006705467624,
      0.8934425409798197,
      0.8790523414699488,
      0.8649234763778632,
      0.8510495800400715,
      0.837424506939117,
      0.824042322393528,
      0.8108972936735547,
      0.7979838808303719,
      0.7852967285552848,
      0.7728306581393044,
      0.7605806598709695,
      0.7485418853905649,
      0.7367096411405726,
      0.7250793818361854,
      0.7136467039438861,
      0.7024073397605913,
      0.6913571514624939,
      0.6804921264725883,
      0.6698083720352622,
      0.6593021100107227,
      0.648969673151457,
      0.638807499698738,
      0.6288120968552211,
      0.6189800256019965,
      0.6093079621249565,
      0.5997926952615341,
      0.5904311146995521,
      0.5812202036868137,
      0.5721570321703181,
      0.5632387517258554,
      0.5544625911004927,
      0.5458258782273505,
      0.5373260338541292,
      0.5289605315817464,
      0.5207270222178113,
      0.5126235407954529,
      0.5046480825730079,
      0.4967985573681776,
      0.48907283753618674,
      0.481468788683477,
      0.473984289188105,
      0.4666172427807584,
      0.45936558559280494,
      0.45222729073830986,
      0.4452003706136654,
      0.438282877776314,
      0.43147290561564067,
      0.42476858791521255,
      0.41816809813245154,
      0.41166995917781546,
      0.4052732069256788,
      0.398976701613949,
      0.39277910871097316,
      0.3866786896761012,
      0.38067348013570906,
      0.3747616563820869,
      0.36894150308750995,
      0.3632114076525153,
      0.35757004057812797,
      0.3520161804084819,
      0.3465485347050642,
      0.3411657748734617,
      0.3358665578929327,
      0.33064954067246577,
      0.32551338906196436,
      0.32045673892131826,
      0.3154780797683742,
      0.3105760044431745,
      0.3057491921950537,
      0.30099636999813933,
      0.29631630402859227,
      0.29170780917506156,
      0.28716974042781157,
      0.2827009699986556,
      0.27830038738531343,
      0.2739669001162925,
      0.26969943408959773,
      0.2654969338920551,
      0.26135836254331374,
      0.2572827013661376,
      0.25326896145474814,
      0.24931649196445627,
      0.2454247922589973,
      0.24159320371711668,
      0.23782096946782783,
      0.2341072731881526,
      0.23045126454555154,
      0.22685207610162753,
      0.22330883427390621,
      0.21982066649737525,
      0.2163867062559344,
      0.21300609596617856,
      0.20967798867959336,
      0.20640154007961756,
      0.2031758389464365,
      0.1999999699180314,
      0.1968730709511006,
      0.19379431938951647,
      0.19076292294758965,
      0.1877781136480111,
      0.18483914394285705,
      0.1819452836673267,
      0.1790958180073322,
      0.17629004632096112,
      0.17352728114887214,
      0.1708068473214593,
      0.16812808151678418,
      0.16549033183534834,
      0.16289295745493498,
      0.160335328294675,
      0.15781682478304843,
      0.15533683744979168,
      0.15289476681158623,
      0.15049002336068998,
      0.14812202719915926,
      0.14579020799182907,
      0.14349400451992864,
      0.14123286466081583,
      0.13900624521521485,
      0.13681361177305168,
      0.13465443854709297,
      0.13252820818768307,
      0.1304344117431471,
      0.1283725482632513,
      0.1263421248534764,
      0.12434265657519145,
      0.1223736660711544,
      0.12043468373624908,
      0.11852524741609077,
      0.1166449022752528,
      0.11479320059937108,
      0.11296970191278234,
      0.11117397264838777,
      0.10940558605607202,
      0.10766412210771065,
      0.1059491673732972,
      0.10426031503306907,
      0.10259716458715691,
      0.10095932184709848,
      0.09934639877622611,
      0.09775801347832232,
      0.09619379007959838,
      0.09465335840195661,
      0.09313635413919553,
      0.09164241879245923,
      0.09017119935840776,
      0.08872234832886171,
      0.08729552358864441,
      0.08589038838002128,
      0.08450661119338009,
      0.08314386570186932,
      0.08180183052641274,
      0.08048018933971929,
      0.07917863073329123,
      0.07789684800982576,
      0.07663453940627259,
      0.07539140774534005,
      0.074167160552461,
      0.07296150963924959,
      0.07177417141169679,
      0.07060486659690979,
      0.06945332022713344,
      0.068319261674659,
      0.06720242448939673,
      0.06610254611147874,
      0.06501936822181807,
      0.06395263640808833,
      0.062902100169951,
      0.061867512877583734,
      0.060848631700844306,
      0.05984521754841076,
      0.058857034922649085,
      0.05788385211223828,
      0.05692544081985933,
      0.05598157625094841,
      0.05505203709492414,
      0.05413660531886717,
      0.05323506632007453,
      0.052347208872138576,
      0.051472824940686564,
      0.05061170950745416,
      0.049763660886564885,
      0.04892848048672004,
      0.04810597261086761,
      0.047295944622756846,
      0.046498206816710026,
      0.045712572428923015,
      0.04493885751665298,
      0.04417688093395543,
      0.043426464349927564,
      0.04268743214101547,
      0.04195961130942103,
      0.04124283148450128,
      0.04053692507440559,
      0.03984172683971747,
      0.03915707409959167,
      0.03848280668342547,
      0.03781876693073477,
      0.03716479953812901,
      0.036520751568095235,
      0.03588647230136832,
      0.03526181337781203,
      0.03464662882862067,
      0.034040774828227184,
      0.03344410971545379,
      0.032856494067390406,
      0.032277790470129034,
      0.031707863554967165,
      0.031146580061518235,
      0.030593808889871007,
      0.030049420817691207,
      0.029513288618917024,
      0.028985286973717307,
      0.028465292576960274,
      0.02795318387891609,
      0.02744884118917972,
      0.02695214662208617,
      0.026462984189439064,
      0.02598123963951451,
      0.02550680041744457,
      0.025039555702055634,
      0.024579396277795963,
      0.024126214667219512,
      0.023679904894845814,
      0.02324036279797737,
      0.02280748565694368,
      0.022381172416516004,
      0.021961323417735115,
      0.02154784066922662,
      0.02114062753999779,
      0.020739588953578726,
      0.020344631276432577,
      0.01995566225670592,
      0.019572591089222796,
      0.019195328301465014,
      0.01882378580391516,
      0.01845787678663767,
      0.01809751586270292,
      0.017742618873601793,
      0.01739310292208062,
      0.017048886428999425,
      0.016709889023566085,
      0.016376031540053324,
      0.01604723598110859,
      0.01572342568910951,
      0.015404524994828464,
      0.015090459385240743,
      0.014781155510305326,
      0.0144765412453429,
      0.014176545541799663,
      0.013881098276007416,
      0.013590130413080475,
      0.013303574073496917,
      0.013021362285853096,
      0.012743429226970873,
      0.012469709976319491,
      0.012200140770386175,
      0.011934658580760317,
      0.011673201439771125,
      0.011415708343332106,
      0.011162119151824357,
      0.010912374653173988,
      0.010666416655157012,
      0.010424187642251868,
      0.010185631154772985,
      0.009950691471706902,
      0.009719313729220481,
      0.009491443896498978,
      0.009267028747980388,
      0.009046016068317264,
      0.008828354154512658,
      0.008613992192305683,
      0.008402880202824451,
      0.00819496884030265,
      0.00799020965645896,
      0.007788554770266766,
      0.007589957157342978,
      0.00739437048454138,
      0.007201749004337704,
      0.007012047807886033,
      0.006825222648820297,
      0.006641229973264808,
      0.006460026863282912,
      0.006281570862146441,
      0.00610582036115016,
      0.0059327343789693275,
      0.005762272521783077,
      0.005594395041007634,
      0.005429062709113659,
      0.005266236920184942,
      0.005105879735304724,
      0.00494795376575345,
      0.004792422051631531,
      0.004639248285762327,
      0.004488396728382295,
      0.004339832200396054,
      0.004193519977186169,
      0.004049425932285014,
      0.003907516460479758,
      0.003767758517820916,
      0.00363011940262468,
      0.0034945669391467787,
      0.0033610696055371495,
      0.003229596162076998,
      0.0031001159228790385,
      0.0029725986543666975,
      0.0028470146473645514,
      0.0027233345820989715,
      0.002601529552600781,
      0.002481571118599753,
      0.002363431333852277,
      0.0022470826683076467,
      0.0021324979380299043,
      0.002019650281321407,
      0.0019085134413610726,
      0.0017990614721338242,
      0.0016912688465657933,
      0.0015851103818263002,
      0.0014805613057300806,
      0.0013775972423277715,
      0.0012761941860651904,
      0.0011763284329578663,
      0.0010779767548395548,
      0.0009811161873029886,
      0.0008857240856816768,
      0.0007917782463554209,
      0.0006992567430124563,
      0.0006081378851834807,
      0.00051840037472926,
      0.0004300233559947987,
      0.00034298620012015654,
      0.00025726851966188633,
      0.00017285038757680068,
      8.971203598856738e-05,
      7.83418607105141e-06,
      -7.28022885801756e-05,
      -0.00015221625893634857,
      -0.00023042631910685096,
      -0.0003074507195750288,
      -0.00038330737513594455,
      -0.0004580139351988578,
      -0.0005315879612414422,
      -0.0006040465631458441,
      -0.0006754066955838506,
      -0.0007456849062207943,
      -0.0008148976680035745,
      -0.0008830610812748368,
      -0.000950191089654405,
      -0.0010163034026268794,
      -0.0010814133789657666,
      -0.0011455363355188102,
      -0.0012086871552861834,
      -0.001270880530633384,
      -0.0013321310016644837,
      -0.0013924528352665245,
      -0.0014518601765429317,
      -0.0015103670090173688,
      -0.001567986808684595,
      -0.001624733010374501,
      -0.001680618856995495,
      -0.001735657419669568,
      -0.0017898616363994152,
      -0.0018432441083807323,
      -0.0018958172131022936,
      -0.001947593292838849,
      -0.001998584429564023,
      -0.002048802454235187,
      -0.002098259165107002,
      -0.0021469660495028135,
      -0.0021949345516588865,
      -0.0022421757422205714,
      -0.0022887007307288436,
      -0.0023345205056782767,
      -0.002379645640436024,
      -0.0024240866589218773,
      -0.0024678539247412804,
      -0.002510957631023932,
      -0.002553407878487304,
      -0.00259521453045445,
      -0.002636387327991578
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566532489889264,
      10.335402186924473,
      10.095734044540132,
      9.850692322654329,
      9.602855148532667,
      9.35448716336512,
      9.107559564561987,
      8.86372014269413,
      8.624277145329895,
      8.390192948677049,
      8.162108125482893,
      7.940377637458005,
      7.725097698195878,
      7.516145838140859,
      7.313235363745214,
      7.115963555401281,
      6.923852714353207,
      6.736388631772065,
      6.553053858142876,
      6.3733491167275345,
      6.196814223139887,
      6.023034070400036,
      5.851643871876398,
      5.682351570886252,
      5.514944097414036,
      5.349284862042017,
      5.185315532910942,
      5.023059214895956,
      4.8626014094461025,
      4.704092949819049,
      4.547755425796944,
      4.393892494299049,
      4.24286519030957,
      4.095058297724573,
      3.9508681655722278,
      3.810687364782966,
      3.6748959894015645,
      3.543840779403014,
      3.41782352706661,
      3.297094396051242,
      3.181847646454376,
      3.072219738285354,
      2.9682834611302598,
      2.8700393682340186,
      2.7774116337878247,
      2.690263316367435,
      2.6084150861617426,
      2.5316386481539235,
      2.459683293642164,
      2.3922974618113737,
      2.3292167968282915,
      2.270141177706023,
      2.2147410989163836,
      2.162643669366112,
      2.1134786875842977,
      2.0668970612631448,
      2.0225814157606257,
      1.9802471762031915,
      1.93965534988909,
      1.9006073133990196,
      1.862946206067506,
      1.8265450831052268,
      1.7912967264826807,
      1.7571066168298441,
      1.7238972377034936,
      1.6916050010108359,
      1.660176504995092,
      1.629565902097026,
      1.5997330390221023,
      1.5706421381327775,
      1.5422608837056948,
      1.5145592474309133,
      1.4875071220384453,
      1.4610766447608616,
      1.4352426575205421,
      1.4099824551802713,
      1.3852756654578087,
      1.3611039926905364,
      1.3374503914951077,
      1.3142982812601203,
      1.2916316251049145,
      1.2694349682163788,
      1.2476948183411594,
      1.2263992887406683,
      1.2055362973498067,
      1.185093903805474,
      1.1650622097557677,
      1.145432096259262,
      1.126194342935629,
      1.1073401679095833,
      1.0888607229372214,
      1.070747226329783,
      1.0529906548115342,
      1.0355819064712015,
      1.0185119483621594,
      1.0017719080627538,
      0.9853531295566431,
      0.9692472049422102,
      0.9534459899283496,
      0.9379416100742317,
      0.9227264598726843,
      0.9077931980263012,
      0.893134740262279,
      0.8787442511199492,
      0.8646151346564831,
      0.8507410244111835,
      0.837115774381433,
      0.8237334495018763,
      0.8105883162438895,
      0.7976748341494336,
      0.7849876475295786,
      0.772521577213448,
      0.7602716124807988,
      0.7482329043993542,
      0.7364007591912086,
      0.724770630933318,
      0.7133381154352438,
      0.7020989443863781,
      0.6910489799059958,
      0.6801842088616349,
      0.6695007379200242,
      0.6589947885111005,
      0.6486626926653694,
      0.6385008880353202,
      0.6285058798337286,
      0.6186742282850297,
      0.6090026098398066,
      0.5994878130652441,
      0.5901267275246602,
      0.5809163361508866,
      0.5718537085571653,
      0.5629359957831974,
      0.5541604280171535,
      0.5455243421853929,
      0.5370251570302476,
      0.5286603420718381,
      0.5204276264324939,
      0.5123250477348483,
      0.5043505679520134,
      0.4965020750587892,
      0.48877742678607283,
      0.4811744789915602,
      0.47369110389628705,
      0.46632520101222025,
      0.4590747034845065,
      0.45193758230293607,
      0.44491184833547204,
      0.4379955532230758,
      0.4311867894832145,
      0.4244836902184395,
      0.41788442833823386,
      0.4113876197560352,
      0.4049923044930491,
      0.3986973053194097,
      0.39250126329250107,
      0.38640250162406825,
      0.3803990512374873,
      0.37448905223262563,
      0.36867076538848326,
      0.3629425764152117,
      0.35730316448006155,
      0.35175128918687965,
      0.34628564562160186,
      0.3409048967853912,
      0.33560769437511184,
      0.3303926915648973,
      0.3252585519877675,
      0.32020391017053046,
      0.31522726755214464,
      0.3103272169353639,
      0.3055024322167446,
      0.3007516366861143,
      0.29607359423344787,
      0.2914671195733111,
      0.2869310667562735,
      0.28246430665198996,
      0.27806572775729527,
      0.27373423692189924,
      0.26946875956837174,
      0.26526823996950843,
      0.26113164082368767,
      0.25705794328765996,
      0.2530461680807663,
      0.24909567757631013,
      0.24520596252780497,
      0.24137635870751406,
      0.23760610552208725,
      0.2338943841206466,
      0.23024034247000083,
      0.22664311186887223,
      0.22310181794164885,
      0.21961558764294403,
      0.21618355412082052,
      0.21280485931754983,
      0.20947865628012896,
      0.2062040982562252,
      0.2029802708123369,
      0.19980626058909007,
      0.1966812065841235,
      0.19360428687318135,
      0.19057470977312446,
      0.18759170776857947,
      0.18465453346842403,
      0.18176245682652573,
      0.17891476314708457,
      0.17611075177859606,
      0.17334973523147407,
      0.17063103840532187,
      0.16795399799366262,
      0.16531796210918914,
      0.16272228981067896,
      0.16016635103302995,
      0.1576495262084397,
      0.15517120595338862,
      0.1527307908267866,
      0.1503276911590461,
      0.14796132706704318,
      0.1456311281457177,
      0.14333653320554876,
      0.14107699017537678,
      0.13885195592974167,
      0.13666089607785714,
      0.13450328484825896,
      0.13237860476921465,
      0.13028634687646015,
      0.12822601034840186,
      0.12619710218473404,
      0.12419913753234677,
      0.12223163911992561,
      0.12029413723804763,
      0.118386169831176,
      0.11650728207979269,
      0.11465702634257179,
      0.1128349620637362,
      0.11104065574149526,
      0.10927368069001073,
      0.10753361696385354,
      0.10582005104945201,
      0.10413257617570558,
      0.10247079193470955,
      0.10083430412680264,
      0.09922272478549649,
      0.09763567201975215,
      0.09607276997228162,
      0.09453364862614326,
      0.09301794368253254,
      0.09152529659137472,
      0.09005535443646193,
      0.08860776966819958,
      0.08718220027449602,
      0.0857783095356734,
      0.08439576597555451,
      0.08303424325796593,
      0.08169342014243736,
      0.08037298026716667,
      0.0790726123660358,
      0.07779200991194885,
      0.07653087100925327,
      0.0752888985507219,
      0.07406579998473374,
      0.07286128734675053,
      0.0716750771040044,
      0.0705068900031432,
      0.06935645120719337,
      0.06822349010807965,
      0.067107740205416,
      0.06600893907028048,
      0.06492682843208399,
      0.06386115399117492,
      0.06281166528432111,
      0.061778115780426926,
      0.0607602626790257,
      0.05975786688182666,
      0.05877069293637904,
      0.05779850919378055,
      0.05684108743658402,
      0.05589820294891463,
      0.05496963447208902,
      0.05405516411972542,
      0.05315457728909848,
      0.0522676627786831,
      0.05139421264847689,
      0.050534022038383794,
      0.049686889166558584,
      0.04885261548909985,
      0.048031005477565954,
      0.04722186654753751,
      0.046425009144875434,
      0.04564024646808154,
      0.04486739453822284,
      0.04410627230493447,
      0.04335670159822438,
      0.04261850682722531,
      0.04189151509291996,
      0.0411755561133736,
      0.0404704622263295,
      0.039776068296486805,
      0.03909221175669675,
      0.0384187324709447,
      0.03775547288075269,
      0.03710227759465447,
      0.03645899380713817,
      0.035825470941537596,
      0.03520156074691315,
      0.034587117171620864,
      0.03398199653813346,
      0.033386057195425325,
      0.032799159682138146,
      0.032221166694315524,
      0.03165194305844856,
      0.03109135553446835,
      0.03053927297628198,
      0.029995566366488688,
      0.02946010854795466,
      0.02893277429326693,
      0.028413440279679344,
      0.027901984957052033,
      0.027398288734420195,
      0.026902233843189557,
      0.02641370422667697,
      0.0259325856906172,
      0.025458765761889844,
      0.02499213370033396,
      0.02453258032634287,
      0.024079998191740122,
      0.02363428152191514,
      0.023195326151837108,
      0.022763029417329845,
      0.022337290287764322,
      0.02191800927577043,
      0.02150508841365765,
      0.02109843112902364,
      0.02069794241377606,
      0.02030352861588331,
      0.019915097530598686,
      0.01953255837014115,
      0.019155821821576314,
      0.018784799805261772,
      0.018419405568556313,
      0.018059553695961676,
      0.017705160092389087,
      0.017356141952757552,
      0.017012417723743792,
      0.016673907121329802,
      0.01634053106427952,
      0.01601221162497489,
      0.015688872086662104,
      0.015370436922601169,
      0.015056831709903741,
      0.014747983079520164,
      0.014443818963080139,
      0.01414426836112185,
      0.013849261236450036,
      0.013558728627553742,
      0.01327260262649344,
      0.012990816398662643,
      0.012713304079831247,
      0.012440000861348985,
      0.012170842977816653,
      0.011905767469424258,
      0.011644712469722167,
      0.011387616899051406,
      0.011134420727803965,
      0.010885064817153138,
      0.010639490896950323,
      0.01039764161069514,
      0.010159460532369716,
      0.009924891989590266,
      0.009693881156907296,
      0.00946637400599405,
      0.009242317373619182,
      0.00902165898858573,
      0.008804347234636268,
      0.008590331367951747,
      0.008379561515082307,
      0.008171988464617216,
      0.007967563639581069,
      0.007766239294782357,
      0.007567968329336098,
      0.007372704534577286,
      0.007180402215451627,
      0.006991016526477126,
      0.006804503174941021,
      0.006620818590489934,
      0.0064399199133386015,
      0.00626176482586903,
      0.006086311774712102,
      0.005913519763100141,
      0.0057433484507619145,
      0.005575758060054249,
      0.005410709447646165,
      0.005248164141737973,
      0.005088084166019967,
      0.004930432030471345,
      0.004775170902352991,
      0.00462226458899111,
      0.004471677344527769,
      0.004323373914341001,
      0.004177319676504784,
      0.004033480613969529,
      0.0038918232193350206,
      0.003752314248618264,
      0.003614921163597783,
      0.003479611774673363,
      0.0033463544710075066,
      0.0032151181918916947,
      0.0030858723683027923,
      0.0029585867392505683,
      0.002833231621231863,
      0.002709777613413123,
      0.0025881959721674444,
      0.0024684583772770123,
      0.002350536795307871,
      0.002234403643166546,
      0.0021200317879473056,
      0.0020073945930629993,
      0.001896465737385431,
      0.0017872192199150897,
      0.001679629620466988,
      0.0015736718090138787,
      0.0014693209741820576,
      0.0013665527867466653,
      0.0012653432277608704,
      0.0011656686468717971,
      0.001067505771288692,
      0.0009708317480697442,
      0.0008756239716178078,
      0.0007818601413238952,
      0.0006895183901791094,
      0.0005985771927910208,
      0.000509015191554392,
      0.0004208114373796379,
      0.000333945402805649,
      0.0002483968951586445,
      0.00016414589447725245,
      8.117264669881273e-05,
      -5.422229895256305e-07,
      -8.101779914454495e-05,
      -0.00016027283628653393,
      -0.00023832586442185967,
      -0.000315195159957719,
      -0.0003908985885379677,
      -0.00046545380856312797,
      -0.0005388783345072919,
      -0.0006111892299928131,
      -0.0006824034167718533,
      -0.0007525375247780284,
      -0.0008216078619313972,
      -0.0008896307137233586,
      -0.0009566218853125091,
      -0.0010225970564358778,
      -0.0010875716390725814,
      -0.0011515608446284963,
      -0.0012145796099308742,
      -0.001276642560467034,
      -0.0013377642013951386,
      -0.001397958821799408,
      -0.0014572404872712104,
      -0.0015156230758805863,
      -0.0015731202055117332,
      -0.0016297452874377805,
      -0.0016855115660881015,
      -0.001740432107520696,
      -0.0017945196790511162,
      -0.001847786971023069,
      -0.0019002463729981024,
      -0.0019519101624978278,
      -0.0020027903369537426,
      -0.0020528988578436733,
      -0.0021022474115336086,
      -0.0021508474996781014,
      -0.002198710522525121,
      -0.0022458476390993343,
      -0.002292269855673986,
      -0.0023379880244712298,
      -0.002383012822495082,
      -0.002427354774516302,
      -0.00247102423068031,
      -0.002514031337302706,
      -0.0025563861082925615,
      -0.0025980985028983676,
      -0.0026391782419923253
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56653042435785,
      10.335392907720006,
      10.095712299132153,
      9.850653134803265,
      9.602794838214624,
      9.354403254759408,
      9.107450551523437,
      8.863585250958094,
      8.624116210878581,
      8.390006495226189,
      8.161896931348629,
      7.940142402747599,
      7.7248387134085155,
      7.515863259332841,
      7.31292929919061,
      7.115634053173829,
      6.923499799910531,
      6.736012425974499,
      6.552654577821154,
      6.372927083608342,
      6.1963698470005095,
      6.022568018784119,
      5.8511570433569124,
      5.681845030943122,
      5.514419159556726,
      5.348743086746363,
      5.184758726241347,
      5.022489352973213,
      4.862020648694113,
      4.703503761292519,
      4.547160669993557,
      4.393295663187572,
      4.242269899534,
      4.094468138293504,
      3.9502866304761737,
      3.8101179262529534,
      3.6743419221075477,
      3.543305018910365,
      3.417308627474047,
      3.296602498717813,
      3.181380463531409,
      3.0717785502663357,
      2.967868993610918,
      2.869651820839625,
      2.777050601197751,
      2.689927880246353,
      2.608103607552608,
      2.5313492113395144,
      2.459413860777479,
      2.392045927179843,
      2.3289808859902497,
      2.2699185189472164,
      2.214529159828547,
      2.1624397078419446,
      2.1132802138176974,
      2.0667018502859555,
      2.0223874614226562,
      1.98005283768766,
      1.9394593893882512,
      1.9004088286397438,
      1.8627445533760432,
      1.8263398070317685,
      1.7910874870905338,
      1.756893186029548,
      1.7236794850166537,
      1.691382864356259,
      1.6599499713883543,
      1.629334993120801,
      1.5994978001298399,
      1.570402630888116,
      1.5420171715071318,
      1.5143114038185523,
      1.4872552539056414,
      1.4608208533140017,
      1.4349830395252203,
      1.409719127247535,
      1.3850087516144696,
      1.3608336170448259,
      1.3371766640333707,
      1.3140213016882623,
      1.2913514855006967,
      1.2691517556089216,
      1.247408761838182,
      1.226110627331048,
      1.2052452135680631,
      1.1848006499965724,
      1.1647671633277004,
      1.1451355232208384,
      1.1258964573940706,
      1.1070411364758501,
      1.0885606817586437,
      1.070446284864697,
      1.052688900235735,
      1.0352794107483703,
      1.0182087732548517,
      1.001468108395453,
      0.9850487553950311,
      0.9689423032009408,
      0.953140604950901,
      0.9376357844065726,
      0.9224202347737689,
      0.9074866138175341,
      0.8928278363645192,
      0.8784370664387748,
      0.8643077070953058,
      0.8504333912917987,
      0.8368079724498936,
      0.8234255149270245,
      0.8102802846591404,
      0.7973667407887399,
      0.7846795268976352,
      0.7722134633589661,
      0.7599635392113393,
      0.7479249051072349,
      0.7360928665962965,
      0.7244628771482136,
      0.7130305320226815,
      0.7017915622057735,
      0.6907418294095866,
      0.6798773198999429,
      0.6691941397941585,
      0.6586885102216858,
      0.6483567625179668,
      0.6381953339252118,
      0.628200727514179,
      0.6183695030580179,
      0.6086983367890172,
      0.5991840171811784,
      0.5898234338244392,
      0.5806135692587168,
      0.5715514925581019,
      0.5626343543245682,
      0.5538593898714477,
      0.5452239428628646,
      0.53672542699531,
      0.5283613079938381,
      0.5201293939580209,
      0.5120277253267592,
      0.5040542309111592,
      0.49620677686292636,
      0.48848320658649896,
      0.48088136661532144,
      0.47339912264983663,
      0.4660343697717447,
      0.4587850382837052,
      0.4516490971689084,
      0.4446245558584719,
      0.43770946491410745,
      0.43090191594569893,
      0.42420004131232786,
      0.4176020134909901,
      0.41110654133460706,
      0.40471266856545707,
      0.39841918059807674,
      0.3922246942648416,
      0.3861275949187892,
      0.38012590840564736,
      0.37421773853723667,
      0.36840132238183926,
      0.3626750440396886,
      0.3570375914999867,
      0.35148770516240024,
      0.34602406770315686,
      0.34064533398796776,
      0.3353501501151863,
      0.33013716571589635,
      0.3250050419273906,
      0.3199524122227725,
      0.31497779021590505,
      0.3100797684818299,
      0.30525701536113153,
      0.30050825065015774,
      0.29583223606661563,
      0.2912277862281996,
      0.28669375366135497,
      0.28222900786830774,
      0.2778324364702215,
      0.2735029457371907,
      0.26923946071473814,
      0.265040925294195,
      0.2609063019376109,
      0.25683457144067473,
      0.252824764130215,
      0.24887625562933213,
      0.24498852817598002,
      0.24116091185217864,
      0.23739264247386896,
      0.23368289864091543,
      0.23003082647061568,
      0.2264355561287858,
      0.22289621242353877,
      0.2194119218692209,
      0.21598181721555337,
      0.2126050402115696,
      0.20928074358285342,
      0.20600807821844017,
      0.20278612656029033,
      0.1996139769971453,
      0.1964907698847684,
      0.19341568402979403,
      0.19038792830002563,
      0.18740673548868567,
      0.18447135839827056,
      0.1815810671122773,
      0.17873514703823368,
      0.1759328975503227,
      0.17317363124651336,
      0.17045667299083597,
      0.1677813594000292,
      0.16514703869674363,
      0.16255306996277927,
      0.15999882304951893,
      0.15748367828722148,
      0.15500702631738064,
      0.15256826774216165,
      0.15016681299137016,
      0.1478020822163629,
      0.14547350493068206,
      0.1431805199370707,
      0.14092257509030715,
      0.13869912730170833,
      0.136509642111634,
      0.1343535937642104,
      0.132230464951225,
      0.13013974663815273,
      0.12808093800427428,
      0.12605354618455014,
      0.12405708616929662,
      0.12209108086812728,
      0.12015506059363175,
      0.11824856317276265,
      0.11637113378244662,
      0.11452232484057477,
      0.11270169584972234,
      0.11090881327654756,
      0.10914325047252149,
      0.1074045874898458,
      0.10569241100821085,
      0.10400631420086506,
      0.10234589667263295,
      0.10071076425412638,
      0.0991005290965536,
      0.09751480934889133,
      0.09595322903963187,
      0.0944154182647767,
      0.0929010127730434,
      0.09140965406653932,
      0.08994098927322176,
      0.0884946709622598,
      0.08707035704834475,
      0.08566771090527836,
      0.08428640110753821,
      0.08292610135556651,
      0.08158649039305275,
      0.08026725209860446,
      0.07896807511169009,
      0.07768865294325857,
      0.07642868380762452,
      0.07518787069410358,
      0.07396592106425061,
      0.07276254700445944,
      0.07157746500037689,
      0.07041039588036382,
      0.06926106486024808,
      0.0681292013592027,
      0.06701453890711667,
      0.06591681518810508,
      0.0648357719878137,
      0.06377115499003605,
      0.0627227139254028,
      0.06169020224129208,
      0.06067337714228368,
      0.05967199966002631,
      0.058685834505135565,
      0.05771464999016322,
      0.056758217959581685,
      0.055816313694382794,
      0.0548887160399059,
      0.053975207158612974,
      0.053075572502090954,
      0.05218960093544372,
      0.051317084562611366,
      0.05045781870383236,
      0.04961160168506713,
      0.04877823486750597,
      0.047957522739384056,
      0.047149272816149335,
      0.04635329557121198,
      0.04556940430783227,
      0.0447974151913033,
      0.04403714731405765,
      0.043288422291975076,
      0.04255106466828034,
      0.04182490165113814,
      0.04110976306522531,
      0.0404054813671839,
      0.03971189143890426,
      0.03902883083536357,
      0.038356139416131196,
      0.037693659631520174,
      0.03704123623938989,
      0.03639871635238344,
      0.03576594964050527,
      0.03514278780218587,
      0.03452908487350775,
      0.033924697113642176,
      0.03332948314719372,
      0.03274330351743223,
      0.03216602098503267,
      0.031597500393085086,
      0.03103760859748066,
      0.030486214602159636,
      0.029943189314817535,
      0.02940840558968285,
      0.028881738220562433,
      0.028363064081470962,
      0.027852261734446514,
      0.02734921164831136,
      0.026853796017730816,
      0.026365898881361184,
      0.025885406088435835,
      0.025412205183039265,
      0.024946185511377134,
      0.02448723803058437,
      0.024035255302126957,
      0.023590131535732316,
      0.023151762671553763,
      0.02272004613832378,
      0.02229488096102256,
      0.02187616767069495,
      0.02146380841453052,
      0.02105770666333781,
      0.020657767444552656,
      0.02026389711796172,
      0.019876003562554964,
      0.019493996044546075,
      0.019117785256721045,
      0.018747283286502794,
      0.018382403411415747,
      0.018023060166528104,
      0.017669169588637276,
      0.017320648906151714,
      0.016977416666535194,
      0.01663939259513723,
      0.01630649768153735,
      0.01597865405401744,
      0.015655785081796072,
      0.015337815233556519,
      0.01502467020131409,
      0.014716276698039557,
      0.014412562545799285,
      0.014113456717014123,
      0.013818889386981632,
      0.013528791672693802,
      0.013243095744472522,
      0.012961734827175487,
      0.012684643046373751,
      0.012411755615538454,
      0.012143008708973994,
      0.01187833961874832,
      0.01161768634949551,
      0.011360988037267128,
      0.01110818459588028,
      0.010859216855129118,
      0.010614026674600615,
      0.010372556785523127,
      0.010134750775249907,
      0.00990055301876378,
      0.009669908612933804,
      0.009442763708250366,
      0.009219065214878076,
      0.008998760823397569,
      0.008781799073064199,
      0.008568129283525154,
      0.008357701495880306,
      0.00815046644841811,
      0.007946375625118114,
      0.007745381370434568,
      0.007547436753403279,
      0.007352495504230357,
      0.00716051208721443,
      0.006971441623845546,
      0.006785239780232525,
      0.0066018631020695485,
      0.006421268678707536,
      0.006243414413728159,
      0.00606825866884828,
      0.005895760456629878,
      0.005725879426084728,
      0.0055585758569574335,
      0.005393810713795237,
      0.005231545524388582,
      0.005071742298843596,
      0.004914363673054606,
      0.004759372851136403,
      0.004606733683788407,
      0.0044564104371618545,
      0.004308367919695801,
      0.004162571535114352,
      0.004018987260944744,
      0.003877581546711312,
      0.0037383213350475836,
      0.0036011740018970554,
      0.0034661074893063545,
      0.003333090306633428,
      0.0032020912989330036,
      0.0030730797981324024,
      0.0029460257256216102,
      0.0028208992704860376,
      0.002697671255305732,
      0.0025763129775784955,
      0.0024567961097771147,
      0.002339092556351944,
      0.0022231748014206344,
      0.0021090157752835514,
      0.0019965888563748713,
      0.001885867798417983,
      0.001776826633761485,
      0.0016694398324769947,
      0.001563682335508134,
      0.0014595294628124403,
      0.001356956879876007,
      0.0012559405404812386,
      0.0011564568531630469,
      0.0010584825312398112,
      0.0009619947305669483,
      0.0008669708705907287,
      0.0007733887429776329,
      0.0006812264944062711,
      0.0005904624580960374,
      0.0005010754758762486,
      0.000413044738746358,
      0.00032634966064167936,
      0.00024096996303816663,
      0.00015688571617390469,
      7.407718452386117e-05,
      -7.474977037129197e-06,
      -8.77898377155338e-05,
      -0.00016688613168526226,
      -0.0002447824145448687,
      -0.0003214968116777935,
      -0.00039704728026804866,
      -0.0004714513681107417,
      -0.0005447266324189479,
      -0.0006168901868566944,
      -0.000687958800921342,
      -0.0007579492073815813,
      -0.0008268776397273161,
      -0.0008947602461697651,
      -0.0009616128983081841,
      -0.0010274512090894914,
      -0.0010922906512489997,
      -0.0011561462999663248,
      -0.0012190330702645856,
      -0.0012809657055281218,
      -0.0013419587526102392,
      -0.0014020264220469011,
      -0.0014611826816595134,
      -0.0015194413116238741,
      -0.0015768160666463941,
      -0.0016333203673219434,
      -0.0016889673209434849,
      -0.0017437700277622183,
      -0.0017977412630422697,
      -0.001850893610208741,
      -0.0019032394847539138,
      -0.001954791163763136,
      -0.0020055607579079027,
      -0.002055560131673503,
      -0.0021048009373087428,
      -0.0021532946096832887,
      -0.0022010525256161238,
      -0.002248085832206774,
      -0.002294405452625247,
      -0.0023400222116032408,
      -0.002384946865096598,
      -0.002429189907638867,
      -0.002472761740268597,
      -0.002515672456681767,
      -0.0025579321059478635,
      -0.002599550611023777,
      -0.002640537655025246
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56652836503168,
      10.335383658712288,
      10.095690613582702,
      9.850614036974036,
      9.60273464677266,
      9.354319494747694,
      9.107341719012142,
      8.863450572905768,
      8.623955524761891,
      8.389820324091671,
      8.161686054056497,
      7.939907471972403,
      7.7245799787144005,
      7.515580890038151,
      7.312623414530294,
      7.115304710322179,
      6.923147031500729,
      6.735636360437054,
      6.552255440328478,
      6.3725052023937865,
      6.195925635679542,
      6.022102149581772,
      5.850670419114479,
      5.68133872100439,
      5.513894480726444,
      5.348201601232858,
      5.184202241451185,
      5.021919845610391,
      4.861440275592263,
      4.702915000628577,
      4.546566385841161,
      4.392699344096038,
      4.241675157666594,
      4.093878560747555,
      3.949705705861062,
      3.8095491225454947,
      3.67378851067695,
      3.5427699306692104,
      3.4167944105720496,
      3.296111289479121,
      3.1809139688465815,
      3.0713380459365696,
      2.967455201897496,
      2.8692649376270722,
      2.7766902171790884,
      2.689593073614074,
      2.607792736987932,
      2.531060356590017,
      2.459144993558779,
      2.3917949503336735,
      2.328745522009255,
      2.2696963939615786,
      2.2143177394945677,
      2.162236250085453,
      2.113082230710328,
      2.0665071223693827,
      2.022193986484221,
      1.9798589785845693,
      1.939263910124085,
      1.9002108284855466,
      1.8625433899565047,
      1.8261350262771932,
      1.7908787493287912,
      1.7566802623194757,
      1.7234622446925674,
      1.6911612466783366,
      1.6597239640544048,
      1.6291046175329909,
      1.599263101461688,
      1.570163670781936,
      1.5417740135446036,
      1.5140641218785635,
      1.4870039552745353,
      1.4605656391880613,
      1.4347240066132647,
      1.409456392057504,
      1.384742437667814,
      1.3605638490174816,
      1.3369035522813135,
      1.3137449459877752,
      1.2910719782607922,
      1.2688692247851727,
      1.247123456721316,
      1.2258227652637979,
      1.2049549618656754,
      1.184508251128953,
      1.164472987616888,
      1.1448398326257383,
      1.1255994625092596,
      1.1067430014914217,
      1.0882615417935724,
      1.0701462484670596,
      1.052388053888769,
      1.0349778263451326,
      1.0179065127016476,
      1.0011652264157664,
      0.9847453018096791,
      0.968638324584934,
      0.9528361458730359,
      0.9373308874900429,
      0.9221149414094504,
      0.9071809642078306,
      0.8925218700167222,
      0.8781308217355264,
      0.8640012221793202,
      0.8501267038753543,
      0.8365011195160248,
      0.8231185327275744,
      0.8099732090612235,
      0.7970596071047958,
      0.7843723700139557,
      0.7719063172456792,
      0.7596564374411817,
      0.7476178808332985,
      0.7357859522167922,
      0.7241561045994218,
      0.7127239329622899,
      0.7014851678330222,
      0.6904356701770704,
      0.6795714257000921,
      0.6688885399856703,
      0.6583832335211658,
      0.6480518371389613,
      0.6378907877601306,
      0.6278965863764155,
      0.6180657921685664,
      0.6083950816448894,
      0.5988812428416572,
      0.589521165158034,
      0.5803118307259403,
      0.5712503081916229,
      0.5623337476005916,
      0.5535593913589418,
      0.5449245877181236,
      0.5364267451117495,
      0.5280633561495233,
      0.5198322915448279,
      0.5117315647948887,
      0.5037590772497599,
      0.49591267666530164,
      0.488190194683921,
      0.4805894696392032,
      0.4731083618246083,
      0.4657447628196255,
      0.4584966003715776,
      0.45136184163880816,
      0.4443384948713366,
      0.4374246097287645,
      0.4306182771146275,
      0.4239176287184369,
      0.4173208645047459,
      0.41082677027013376,
      0.40443436600046984,
      0.3981424053592728,
      0.3919494843607564,
      0.3858540304906885,
      0.3798540968248674,
      0.3739477489461485,
      0.36813319872516104,
      0.3624088276053926,
      0.3567733318903917,
      0.35122543249944044,
      0.3457637993738222,
      0.340387079046087,
      0.3350939120851552,
      0.3298829445593563,
      0.3247528351159234,
      0.319702216243427,
      0.3147296136347576,
      0.30983361959216493,
      0.30501289702055356,
      0.3002661619356008,
      0.2955921746510632,
      0.29098974923669324,
      0.28645773641006916,
      0.2819950043886075,
      0.2776004397844194,
      0.27327294831875254,
      0.2690114547028856,
      0.2648149024637206,
      0.2606822538433783,
      0.25661248959763117,
      0.2526046494100479,
      0.24865812195385142,
      0.24477238101800847,
      0.24094675113641406,
      0.23718046424388511,
      0.23347269649378466,
      0.22982259242104408,
      0.22622928103338813,
      0.22269188632319964,
      0.21920953422507533,
      0.2157813570398306,
      0.21240649634813727,
      0.20908410468051805,
      0.20581333068073554,
      0.20259325358934568,
      0.19942296361938547,
      0.19630160226841364,
      0.1932283491372811,
      0.19020241364430604,
      0.18722302885252243,
      0.18428944782081874,
      0.18140094082498115,
      0.17855679331150856,
      0.1757563046670541,
      0.1729987874300536,
      0.170283566592883,
      0.16760997882121628,
      0.1649773722877482,
      0.162385106083551,
      0.1598325499943201,
      0.15731908441242934,
      0.15484409988257336,
      0.1524069969730208,
      0.1500071862438078,
      0.1476440877715697,
      0.14531713100560723,
      0.14302575477083057,
      0.14076940692809942,
      0.138547544391165,
      0.1363596327369436,
      0.13420514623534163,
      0.13208356758032558,
      0.1299943878174651,
      0.12793710601648597,
      0.12591122938785293,
      0.12391627302992023,
      0.12195175966169829,
      0.12001721967855782,
      0.11811219094523163,
      0.11623621868872962,
      0.11438885533190202,
      0.11256966047053711,
      0.11077820060000568,
      0.10901404903613233,
      0.10727678581342927,
      0.10556599769421826,
      0.1038812778882782,
      0.10222222607373703,
      0.10058844818506296,
      0.098979556266204,
      0.09739516851613604,
      0.09583490903068272,
      0.0942984080160697,
      0.09278530123437484,
      0.09129523013608003,
      0.08982784187834364,
      0.08838278908314133,
      0.08695972978615564,
      0.08555832738854255,
      0.08417825048107327,
      0.08281917285517527,
      0.08148077334446614,
      0.0801627358273301,
      0.07886474898632201,
      0.0775865064156796,
      0.07632770635180684,
      0.07508805176372843,
      0.07386725024131942,
      0.07266501390310037,
      0.0714810592696295,
      0.07031510723523365,
      0.06916688305593752,
      0.06803611622906239,
      0.06692254041351721,
      0.06582589337518688,
      0.06474591687056268,
      0.06368235660275574,
      0.06263496236647914,
      0.06160348765491345,
      0.06058768979867965,
      0.05958732992816256,
      0.0586021726506969,
      0.05763198641848273,
      0.05667654308978452,
      0.055735618123459944,
      0.054808990290366524,
      0.05389644190006618,
      0.05299775858230243,
      0.05211272920520326,
      0.0512411458439428,
      0.050382803758100544,
      0.04953750141594643,
      0.04870504034004557,
      0.04788522511710065,
      0.04707786333657861,
      0.04628276543268163,
      0.04549974480095026,
      0.04472861774801302,
      0.04396920331872203,
      0.04322132337571154,
      0.042484802415926524,
      0.04175946762913392,
      0.041045148916205754,
      0.04034167874261345,
      0.03964889207488586,
      0.038966626536634436,
      0.03829472211339115,
      0.037633021222672265,
      0.03698136882558907,
      0.03633961217546405,
      0.03570760083016043,
      0.03508518659673375,
      0.03447222364060269,
      0.03386856828881219,
      0.0332740790772369,
      0.032688616665988074,
      0.032112043846092765,
      0.03154422549982615,
      0.030985028639599742,
      0.03043432217473044,
      0.029891977220204105,
      0.029357866777625637,
      0.028831865748146078,
      0.028313850748743624,
      0.027803700533639297,
      0.02730129559644957,
      0.026806518320102037,
      0.026319252841600995,
      0.025839384999623564,
      0.02536680234601227,
      0.024901394310337277,
      0.02444305192647539,
      0.02399166782608037,
      0.023547136422713378,
      0.023109353556161647,
      0.022678216606334987,
      0.02225362471490812,
      0.02183547843507171,
      0.021423679889497758,
      0.021018132666804704,
      0.020618741895815283,
      0.02022541412216306,
      0.019838057241342976,
      0.019456580653173797,
      0.019080895040464094,
      0.01871091240720768,
      0.01834654614752204,
      0.017987710960605606,
      0.017634322891897657,
      0.0172862991505722,
      0.01694355833830054,
      0.016606020213057567,
      0.01627360583276218,
      0.015946237462106053,
      0.01562383846512597,
      0.015306333329118932,
      0.014993647712251182,
      0.01468570840655208,
      0.014382443438907657,
      0.014083781833447849,
      0.013789653676792258,
      0.013499990174744505,
      0.013214723522271455,
      0.01293378700058369,
      0.012657114848878739,
      0.012384642343567006,
      0.012116305697125357,
      0.011852042158007494,
      0.011591789904196032,
      0.011335488017125592,
      0.011083076446266424,
      0.010834496231666636,
      0.010589689189934961,
      0.010348598048606978,
      0.010111166399531482,
      0.009877338617728338,
      0.009647060043664151,
      0.009420276737084994,
      0.009196935704501636,
      0.008976984665625149,
      0.008760372179201186,
      0.008547047555429912,
      0.008336960962579708,
      0.008130063256947855,
      0.007926305949042863,
      0.007725641318675566,
      0.007528022418423945,
      0.0073334031566196865,
      0.007141737944672318,
      0.00695298196372172,
      0.0067670910329987784,
      0.006584021684705118,
      0.006403730993340976,
      0.0062261767443995255,
      0.006051317535876868,
      0.005879112514026765,
      0.005709521263868722,
      0.005542504146847939,
      0.005378022017865492,
      0.005216036434461097,
      0.005056509473783769,
      0.0048994039595011375,
      0.004744683010269402,
      0.004592310486534666,
      0.004442250734283444,
      0.0042944686168867536,
      0.004148929574391894,
      0.004005599653064352,
      0.003864445213287102,
      0.003725433204565006,
      0.003588531156656601,
      0.0034537070012604964,
      0.0033209292832408334,
      0.003190166954464645,
      0.003061389340865836,
      0.002934566448403855,
      0.0028096684187439848,
      0.0026866659917074913,
      0.002565530536219792,
      0.0024462337343861967,
      0.002328747724948628,
      0.0022130449554309357,
      0.0020990983415095214,
      0.0019868811285271367,
      0.0018763671110852247,
      0.0017675305238244675,
      0.0016603459020597107,
      0.0015547881471636123,
      0.00145083258077072,
      0.001348454968816462,
      0.001247631203568505,
      0.001148337775368689,
      0.0010505515402126125,
      0.0009542495207344128,
      0.0008594092233970764,
      0.0007660084225004181,
      0.0006740252451398359,
      0.0005834381806043175,
      0.0004942259893874596,
      0.00040636786803976044,
      0.00031984326574590417,
      0.00023463199441597866,
      0.00015071409857979768,
      6.806997419932875e-05,
      -1.331973373642203e-05,
      -9.347407987243502e-05,
      -0.0001724118934323049,
      -0.00025015157217594345,
      -0.00032671129460706925,
      -0.000402108970397514,
      -0.00047636224081478703,
      -0.0005494885352457586,
      -0.0006215049742198658,
      -0.0006924283539967101,
      -0.0007622751550980026,
      -0.000831061842499084,
      -0.0008988044785421217,
      -0.0009655188623932283,
      -0.0010312206875835671,
      -0.0010959253043556984,
      -0.0011596477929595645,
      -0.0012224030226321682,
      -0.001284205678411303,
      -0.001345070280371267,
      -0.0014050111452902888,
      -0.0014640422266609893,
      -0.001522177264820925,
      -0.0015794299108878198,
      -0.0016358135768437536,
      -0.001691341443449634,
      -0.0017460265504403887,
      -0.0017998816377142967,
      -0.001852919252517707,
      -0.0019051518115122778,
      -0.0019565916303907168,
      -0.0020072506858698227,
      -0.0020571408283724724,
      -0.002106273713828663,
      -0.0021546608814154407,
      -0.002202313646028881,
      -0.0022492431236542966,
      -0.002295460281432628,
      -0.0023409758725061814,
      -0.002385800611929801,
      -0.00242994496387877,
      -0.0024734193485303115,
      -0.0025162338714428607,
      -0.0025583986048387554,
      -0.0025999233025130702,
      -0.0026408177436020143
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566526307129662,
      10.33537441417725,
      10.095668908335329,
      9.850574872827167,
      9.602674338273104,
      9.354235562169727,
      9.107232653629085,
      8.863315598454175,
      8.623794477162129,
      8.389633724571512,
      8.161474679356829,
      7.939671951326283,
      7.7243205430657,
      7.515297716317986,
      7.312316628049456,
      7.1149743737449365,
      6.922793181592981,
      6.735259129264991,
      6.551855056476126,
      6.372081997339264,
      6.195480024938899,
      6.021634805587591,
      5.850182245662861,
      5.680830788125416,
      5.513368107125011,
      5.347658350552251,
      5.183643922504422,
      5.021348437962205,
      4.860857939708428,
      4.702324222996044,
      4.545970113861668,
      4.392101137097533,
      4.241078615582991,
      4.0932872602523735,
      3.949123127154923,
      3.8089787254050136,
      3.67323355791687,
      3.5422333467072202,
      3.416278738102507,
      3.2956186591064256,
      3.1804460836527246,
      3.0708961771353382,
      2.9670400663556427,
      2.868876726844652,
      2.776328517806884,
      2.689256944641823,
      2.6074805377007797,
      2.530770167519728,
      2.458874807484454,
      2.3915426889924243,
      2.3285089044468794,
      2.2694730444335467,
      2.214105122188707,
      2.162031620399827,
      2.112883099675743,
      2.066311272561203,
      2.021999417080464,
      1.9796640537513368,
      1.9390673951893214,
      1.9000118232050147,
      1.8623412522460068,
      1.825929301921234,
      1.7906690976004613,
      1.7564664538765693,
      1.7232441476070088,
      1.690938798249867,
      1.6594971507568133,
      1.6288734603919037,
      1.5990276452653795,
      1.5699239764308608,
      1.5415301444453435,
      1.5138161514444333,
      1.4867519898395098,
      1.4603097792788755,
      1.4344643488127211,
      1.409193052076315,
      1.3844755391416939,
      1.3602935156190754,
      1.336629893776751,
      1.3134680623885133,
      1.2907919614133163,
      1.268586236588303,
      1.2468377619112112,
      1.2255345629978136,
      1.2046644077144972,
      1.1842155790461641,
      1.164178562072166,
      1.1445439110123345,
      1.1253022527507988,
      1.1064446661868592,
      1.0879622137190699,
      1.0698460354662873,
      1.0520870420057342,
      1.034676086944409,
      1.0176041071737771,
      1.0008622094397879,
      0.9844417234314188,
      0.9683342313161275,
      0.9525315817794376,
      0.937025895270073,
      0.9218095621929461,
      0.9068752381090972,
      0.8922158365272047,
      0.8778245196512693,
      0.8636946894701617,
      0.84981997785136,
      0.8361942369353226,
      0.8228115298968331,
      0.8096661217247223,
      0.7967524704789438,
      0.784065218712148,
      0.7715991853479758,
      0.7593493587091971,
      0.7473108884599495,
      0.7354790789497473,
      0.723849382475444,
      0.712417393109931,
      0.7011788412591012,
      0.6901295871213807,
      0.67926561610229,
      0.6685830330793182,
      0.6580780581073314,
      0.6477470216235157,
      0.6375863598281764,
      0.627592571844925,
      0.61776221619316,
      0.608091969308249,
      0.5985786192027842,
      0.5892190548880712,
      0.5800102583485355,
      0.5709492976054534,
      0.5620333223581921,
      0.5532595851156811,
      0.5446254340250403,
      0.5361282730590982,
      0.5277656342592486,
      0.519535444672328,
      0.5114356785844214,
      0.5034642119661914,
      0.4956188759889734,
      0.4878974910371246,
      0.4802978884529059,
      0.4728179236907683,
      0.465455484783263,
      0.4582084972825893,
      0.45107492662686366,
      0.444052779836048,
      0.43714010571978695,
      0.43033499455211355,
      0.42363557737764723,
      0.4170401020693334,
      0.41054741997298705,
      0.40415650721901947,
      0.3978660895240076,
      0.39167474474252756,
      0.3855809293793453,
      0.3795827454098883,
      0.37367821832159387,
      0.36786553423027535,
      0.36214307516313266,
      0.35650954013694547,
      0.3509636309306307,
      0.34550400513757834,
      0.34012930097453137,
      0.334838153586512,
      0.3296292054947413,
      0.32450111288423306,
      0.31945251210605086,
      0.3144819383335805,
      0.30958797871410804,
      0.3047692916501467,
      0.3000245902021047,
      0.2953526332107212,
      0.29075223457023713,
      0.28622224332992424,
      0.28176152659960196,
      0.27736897045032016,
      0.2730434798998539,
      0.2687839792214533,
      0.2645894116382497,
      0.260458739245798,
      0.2563909425022638,
      0.2523850703932356,
      0.24844052486552243,
      0.24455677148235028,
      0.2407331291223096,
      0.23696882593571866,
      0.23326303548473942,
      0.22961490053895053,
      0.22602354905699792,
      0.22248810419661785,
      0.2190076913699253,
      0.2155814425747883,
      0.21220849900061092,
      0.20888801309050278,
      0.2056191311468347,
      0.2024009292648513,
      0.1992324994995138,
      0.1961129844819999,
      0.19304156471382558,
      0.1900174500284882,
      0.18703987390324234,
      0.18410808959436364,
      0.18122136732006394,
      0.1783789926841164,
      0.17558026526670015,
      0.17282449760716156,
      0.17011101463293293,
      0.16743915304942295,
      0.16480826089336065,
      0.1622176973437649,
      0.15966683229443704,
      0.1571550459667538,
      0.15468172893771734,
      0.15224628182616545,
      0.1498481151142839,
      0.14748664888160717,
      0.14516131263516718,
      0.14287154518491546,
      0.14061679445645556,
      0.1383965173039102,
      0.13621017927879897,
      0.13405725463397408,
      0.13193722613664266,
      0.12984958490061535,
      0.12779383002694214,
      0.12576946859308707,
      0.12377601577439684,
      0.12181299432257421,
      0.11987993469748233,
      0.11797637468817701,
      0.1161018595854542,
      0.11425594190696521,
      0.11243818111375468,
      0.11064814376876965,
      0.10888540327319694,
      0.10714953973919983,
      0.1054401399483947,
      0.10375679713499242,
      0.10209911098116359,
      0.1004666874046395,
      0.09885913847544796,
      0.09727608241026588,
      0.09571714344160434,
      0.09418195170076553,
      0.09267014307003756,
      0.09118135907374175,
      0.0897152469094576,
      0.08827145927611427,
      0.0868496542340256,
      0.08544949525525006,
      0.08407065094918001,
      0.08271279519769999,
      0.08137560679002721,
      0.08005876963510877,
      0.07876197251456424,
      0.07748490897427715,
      0.07622727742978634,
      0.0749887809299248,
      0.07376912708326644,
      0.0725680279913988,
      0.07138520030353131,
      0.07022036491510739,
      0.06907324713371968,
      0.06794357654286434,
      0.06683108675724914,
      0.0657355156063227,
      0.06465660500241502,
      0.063594100830255,
      0.06254775280655685,
      0.06151731444898099,
      0.06050254317393588,
      0.059503200179389974,
      0.05851905025625224,
      0.0575498616285028,
      0.05659540640764177,
      0.05565546004044148,
      0.05472980152621715,
      0.05381821315743746,
      0.052920480501747295,
      0.05203639258071917,
      0.05116574155563653,
      0.050308322746891065,
      0.049463934651916654,
      0.04863237884821357,
      0.04781345996200304,
      0.047006985667392635,
      0.04621276649365924,
      0.045430615923054134,
      0.044660350328338316,
      0.04390178875549751,
      0.04315475310184983,
      0.04241906794851607,
      0.04169456059077475,
      0.04098106091679358,
      0.04027840146454739,
      0.03958641747935795,
      0.03890494645080099,
      0.03823382840229261,
      0.037572905875479214,
      0.03692202391167005,
      0.03628102981052161,
      0.035649773148782184,
      0.03502810581402178,
      0.03441588202196797,
      0.03381295825357957,
      0.033219193029081155,
      0.0326344471225288,
      0.03205858335236625,
      0.03149146673306236,
      0.03093296427886399,
      0.030382944974199487,
      0.029841280000104206,
      0.029307842345224096,
      0.028782506914270613,
      0.02826515057979183,
      0.027755652095303278,
      0.027253891983993733,
      0.026759752669706774,
      0.026273118252600394,
      0.025793874781150437,
      0.025321909882696766,
      0.02485711295379939,
      0.024399375001124643,
      0.02394858887659773,
      0.023504648877134843,
      0.023067451031046824,
      0.022636892881653353,
      0.022212873569882937,
      0.021795293730504685,
      0.021384055535646224,
      0.020979062660123532,
      0.02058022013006562,
      0.020187434618992986,
      0.019800614069499723,
      0.019419667873574006,
      0.019044506835617137,
      0.018675043052165035,
      0.01831119001921306,
      0.017952862369438462,
      0.017599976123166813,
      0.01725244870293598,
      0.016910198698622564,
      0.016573145981187778,
      0.01624121159849762,
      0.015914317866794942,
      0.015592388199776885,
      0.015275347100803482,
      0.014963120312494613,
      0.014655634856276552,
      0.014352818701694229,
      0.014054600903981014,
      0.013760911548582215,
      0.01347168190311916,
      0.013186844205184418,
      0.012906331759155492,
      0.012630078846486538,
      0.012358020811423284,
      0.012090093972943234,
      0.011826235578517934,
      0.011566383831430254,
      0.011310477896580602,
      0.011058457859080828,
      0.010810264673674961,
      0.01056584017487468,
      0.010325127198708196,
      0.01008806938376692,
      0.00985461120481997,
      0.00962469795190321,
      0.00939827582105122,
      0.009175291862430743,
      0.008955693868005833,
      0.008739430261884947,
      0.008526450508904482,
      0.008316704750718345,
      0.008110143909389779,
      0.007906719653720964,
      0.007706384298542887,
      0.007509090961323155,
      0.0073147934162628376,
      0.007123446097392041,
      0.006935004225163903,
      0.006749423585922186,
      0.006566660899523408,
      0.006386673394605162,
      0.006209418863745949,
      0.006034855828404077,
      0.005862943395266,
      0.005693641394753729,
      0.005526910121473175,
      0.005362710572899863,
      0.0052010043090472535,
      0.005041753447828046,
      0.00488492075804097,
      0.004730469367066003,
      0.004578363131397346,
      0.0044285665008919495,
      0.00428104442412257,
      0.004135762325123204,
      0.003992686190238162,
      0.0038517825619402164,
      0.003713018426574406,
      0.003576361313779851,
      0.003441779226243975,
      0.003309240622301744,
      0.0031787144829134974,
      0.0030501702789739985,
      0.0029235779915964106,
      0.002798907905336329,
      0.002676130751577354,
      0.0025552178803591613,
      0.002436141090748213,
      0.0023188723863892804,
      0.0022033842856662112,
      0.0020896497326630954,
      0.0019776421056082578,
      0.001867335137724983,
      0.0017587030941958145,
      0.0016517205689832904,
      0.0015463624999992513,
      0.0014426041721694335,
      0.0013404212670758324,
      0.0012397898498368,
      0.0011406864662324564,
      0.0010430878913618618,
      0.0009469712740801308,
      0.0008523140725363448,
      0.0007590942011390455,
      0.0006672898611899827,
      0.0005768794679487956,
      0.00048784182036765085,
      0.0004001560496078698,
      0.00031380179807283725,
      0.00022875877041926904,
      0.00014500708010904478,
      6.25270504384498e-05,
      -1.8700608149724068e-05,
      -9.869488664427044e-05,
      -0.0001774745138323006,
      -0.00025505792160106374,
      -0.00033146327922278904,
      -0.00040670851373305673,
      -0.00048081119588358164,
      -0.0005537887491954576,
      -0.0006256582636002826,
      -0.00069643659460445,
      -0.0007661402448033993,
      -0.0008347854733814118,
      -0.0009023883408093433,
      -0.0009689647273166073,
      -0.001034530274366047,
      -0.0010991002551806299,
      -0.001162689781249373,
      -0.0012253137087377302,
      -0.0012869866650711814,
      -0.001347723201814953,
      -0.0014075375401407537,
      -0.0014664436329256483,
      -0.001524455334178206,
      -0.0015815862305542776,
      -0.001637849669506905,
      -0.0016932587288337976,
      -0.0017478263507403064,
      -0.001801565392724561,
      -0.0018544883598602003,
      -0.0019066078167218627,
      -0.001957935978398402,
      -0.0020084847649735177,
      -0.002058265962897996,
      -0.002107291220269847,
      -0.0021555720607177196,
      -0.002203119846088974,
      -0.0022499456491417973,
      -0.0022960604879728903,
      -0.002341475102078036,
      -0.0023862001726624067,
      -0.002430246167681154,
      -0.0024736233634469803,
      -0.0025163418783002403,
      -0.0025584118336840207,
      -0.002599843094744069,
      -0.002640645194649318
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566524249227642,
      10.335365168726868,
      10.095647098520326,
      9.85053542099302,
      9.602613571832851,
      9.354151015523383,
      9.107122832281707,
      8.863179738812605,
      8.623632423160007,
      8.389446006595232,
      8.161262081993133,
      7.939435107566427,
      7.724059689585658,
      7.515013035977706,
      7.312008250840738,
      7.114642366736676,
      6.922437586493719,
      6.734880081752164,
      6.551452786022137,
      6.371656836656695,
      6.19503239091315,
      6.02116537142992,
      5.849691914561233,
      5.680320629605644,
      5.512839440464805,
      5.347112741595432,
      5.183083182899789,
      5.020774551749478,
      4.860273072954591,
      4.701730866825165,
      4.5453712410569835,
      4.391500329074426,
      4.240479475085113,
      4.092693368291302,
      3.9485379673778147,
      3.808405761572374,
      3.672676057461435,
      3.5416942389905612,
      3.4157605702791285,
      3.2951235654743867,
      3.1799757699622635,
      3.0704519169248767,
      2.9666225788736194,
      2.8684862051814912,
      2.7759645485359847,
      2.688918543395902,
      2.6071660691369614,
      2.5304777174987043,
      2.4586023730369133,
      2.3912881954656378,
      2.328270074401841,
      2.2692475071296316,
      2.2138903436045934,
      2.161824858135831,
      2.1126818699921692,
      2.066113363813215,
      2.021802832574668,
      1.97946716000185,
      1.9388689594166297,
      1.8998109461857595,
      1.8621372921401114,
      1.8257218040501755,
      1.7904577196288813,
      1.7562509638043204,
      1.7230244118521287,
      1.690714753327238,
      1.6592687827317796,
      1.6286407891543067,
      1.5987907145689984,
      1.5696828458502203,
      1.5412848833107422,
      1.513566835064778,
      1.4864987202938642,
      1.4600526537709386,
      1.4342034608330725,
      1.4089285152981244,
      1.3842074751586402,
      1.360022047286767,
      1.3363551294971596,
      1.3131901005746276,
      1.2905108930521991,
      1.2683022229051402,
      1.2465510673138254,
      1.225245386260537,
      1.2043729034167636,
      1.183921980616085,
      1.1638832339760168,
      1.1442471106592338,
      1.1250041873932568,
      1.106145496867151,
      1.0876620732155085,
      1.0695450311019823,
      1.0517852593959536,
      1.03437359676411,
      1.017300969865475,
      1.0005584791905102,
      0.984137449642672,
      0.9680294601121531,
      0.9522263570466911,
      0.9367202591279676,
      0.9215035554553873,
      0.9065689008395608,
      0.8919092079250287,
      0.8775176381335023,
      0.8633875924912188,
      0.849512702375702,
      0.8358868194953061,
      0.8225040064399407,
      0.8093585277076697,
      0.7964448406481797,
      0.7837575875383084,
      0.7712915870966006,
      0.7590418265888712,
      0.7470034552115626,
      0.7351717769190367,
      0.7235422435002492,
      0.7121104485271281,
      0.7008721217004347,
      0.6898231229115068,
      0.6789594368101208,
      0.6682771679269556,
      0.6577725357099383,
      0.6474418700014755,
      0.6372816064376432,
      0.6272882420478627,
      0.6174583348716911,
      0.6077885615032851,
      0.5982757099851966,
      0.5889166688431147,
      0.5797084195367007,
      0.5706480302286888,
      0.5617326520823697,
      0.5529595459925445,
      0.5443260584898464,
      0.535829589351272,
      0.5274677179233617,
      0.5192384174626065,
      0.511139624163326,
      0.5031691893710867,
      0.4953249280164992,
      0.4876046498215092,
      0.480006178815914,
      0.4725273656738047,
      0.4651660951668309,
      0.45792029053037064,
      0.45078791576640026,
      0.44376697666911974,
      0.4368555211258104,
      0.4300516387078109,
      0.4233534598945332,
      0.4167592805459047,
      0.41026801732993273,
      0.4038786026758028,
      0.3975897342268921,
      0.3913999717035586,
      0.3853077980598896,
      0.3793113657878407,
      0.3734086626801636,
      0.3675978486796231,
      0.36187731532372186,
      0.35624575174356793,
      0.35070184162816853,
      0.3452442306147938,
      0.3398715491053537,
      0.3345824270640907,
      0.32937550374386426,
      0.3242494330428265,
      0.31920285655648506,
      0.31423431820164616,
      0.3093423987515232,
      0.3045257522703114,
      0.29978308891011374,
      0.29511316651582675,
      0.29051479867205404,
      0.2859868328794343,
      0.2815281351951696,
      0.27713759089880674,
      0.27281410471415185,
      0.26855660032595535,
      0.2643640206179467,
      0.260235327425937,
      0.2561695011404047,
      0.25216560013832373,
      0.24822303939939677,
      0.24434127595581012,
      0.24051962325849516,
      0.2367573058230714,
      0.2330534946301335,
      0.22940733080774056,
      0.22581794121119705,
      0.22228444822378732,
      0.21880597665521134,
      0.21538165819685537,
      0.2120106337451423,
      0.20869205552502182,
      0.20542506737917096,
      0.2022087422911523,
      0.19904217426691678,
      0.1959245071805319,
      0.19285492222517858,
      0.18983262973284232,
      0.18685686358874137,
      0.18392687722730022,
      0.18104194109500016,
      0.17820134083206043,
      0.17540437595200703,
      0.1726503591604009,
      0.16993861539555866,
      0.16726848130699512,
      0.16463930492240933,
      0.1620504453944059,
      0.1595012725656229,
      0.1569911668037613,
      0.15451951862205385,
      0.15208572863229444,
      0.14968920727029697,
      0.14732937463083745,
      0.14500566022109612,
      0.14271750288652452,
      0.14046435048327643,
      0.1382456598940188,
      0.13606089672649993,
      0.13390953525999863,
      0.13179105818814077,
      0.12970495650770167,
      0.1276507293301844,
      0.12562788390887433,
      0.12363593534091842,
      0.12167440647130258,
      0.11974282774459874,
      0.11784073708689616,
      0.11596767976657037,
      0.1141232082844537,
      0.11230688210932169,
      0.11051826789976477,
      0.10875693901773358,
      0.10702247570664639,
      0.10531446465528824,
      0.10363249916256012,
      0.10197617890345138,
      0.10034510991389309,
      0.09873890435487614,
      0.09715718045633,
      0.09559956246240628,
      0.09406568041254058,
      0.0925551702857197,
      0.09106767380276264,
      0.08960283817167108,
      0.08816031607499944,
      0.08673976555492924,
      0.0853408501047064,
      0.08396323844212118,
      0.08260660449843675,
      0.08127062715529246,
      0.07995499036179418,
      0.0786593829575014,
      0.07738349863092082,
      0.07612703564373337,
      0.07488969709313696,
      0.07367119065376393,
      0.07247122862890046,
      0.07128952768763382,
      0.07012580891356703,
      0.06897979757677797,
      0.0678512232678038,
      0.0667398197260903,
      0.06564532472803522,
      0.06456748024749552,
      0.0635060321515033,
      0.06246073026006497,
      0.06143132826782932,
      0.06041758367704762,
      0.059419257604428115,
      0.05843611489729942,
      0.0574679240410259,
      0.056514457048041415,
      0.0555754893982255,
      0.05465080006850562,
      0.053740171521536324,
      0.052843389427510434,
      0.05196024279881781,
      0.051090523866557894,
      0.05023402808733169,
      0.049390554012296764,
      0.04855990335258948,
      0.04774188077978392,
      0.046936293887252525,
      0.04614295335639759,
      0.045361672689165244,
      0.04459226821877274,
      0.04383455918510707,
      0.043088367509421514,
      0.042353517868656175,
      0.04162983770077058,
      0.040917157010605706,
      0.04021530829393185,
      0.03952412670935228,
      0.03884344997084458,
      0.03817311812612127,
      0.03751297386894784,
      0.036862862104195766,
      0.036222630269150784,
      0.03559212808875208,
      0.03497120749858021,
      0.03435972273231897,
      0.03375753016972051,
      0.03316448857810078,
      0.03258045881864237,
      0.03200530375498177,
      0.03143888849422594,
      0.030881080076398594,
      0.030331747565974305,
      0.02979076207489142,
      0.029257996723425477,
      0.028733326551509654,
      0.028216628393231115,
      0.02770778105046517,
      0.02720666514376745,
      0.02671316317363361,
      0.026227159423631772,
      0.025748539902318193,
      0.025277192291815027,
      0.02481300602385494,
      0.0243558722670562,
      0.02390568374912575,
      0.02346233497347712,
      0.023025722016129138,
      0.02259574245617743,
      0.02217229549659973,
      0.021755281798700107,
      0.02134460360208046,
      0.020940164640858013,
      0.020541870154797304,
      0.02014962670906535,
      0.019763342184644463,
      0.019382926104499903,
      0.019008289228157903,
      0.01863934371123129,
      0.018276003155596455,
      0.017918182353587855,
      0.017565797424999457,
      0.017218765812754916,
      0.016877006175625712,
      0.016540438445034666,
      0.016208983682735316,
      0.015882564197744455,
      0.015561103489923582,
      0.015244526128246847,
      0.01493275791307801,
      0.014625725846070053,
      0.014323357964944832,
      0.014025583506722412,
      0.013732332483690768,
      0.013443536204477902,
      0.01315912702982614,
      0.01287903836211248,
      0.012603204415758207,
      0.012331560576438293,
      0.012064043198438347,
      0.011800589673263416,
      0.011541138215722191,
      0.011285627971540159,
      0.011033999104003106,
      0.010786192616340763,
      0.01054215033420924,
      0.01030181515624089,
      0.010065130861809905,
      0.00983204190312057,
      0.009602493651913933,
      0.009376432407647309,
      0.009153805167726705,
      0.008934559762867476,
      0.008718644843575976,
      0.008506009735838949,
      0.008296604623850626,
      0.008090380418296083,
      0.00788728879897953,
      0.00768728220975512,
      0.0074903137801056695,
      0.007296337331946915,
      0.007105307459330676,
      0.006917179382051105,
      0.006731908992483448,
      0.006549452898921277,
      0.006369768280452624,
      0.0061928131644903885,
      0.006018546039281239,
      0.005846926021771352,
      0.005677912951669632,
      0.005511467265548575,
      0.005347549949751655,
      0.005186122558973894,
      0.0050271472691011685,
      0.004870586855717142,
      0.004716404630933389,
      0.00456456443289469,
      0.004415030636397664,
      0.004267768248544372,
      0.0041227427585607485,
      0.003979920225252949,
      0.003839267079838215,
      0.0037007504524266257,
      0.0035643379028431873,
      0.003429997528842134,
      0.0032976977261599386,
      0.0031674077137160733,
      0.0030390968015400386,
      0.0029127349064581574,
      0.002788292510758548,
      0.00266574042554404,
      0.0025450498413199666,
      0.002426192526513427,
      0.0023091406340166034,
      0.002193866719078022,
      0.0020803438416569634,
      0.0019685452821673445,
      0.0018584450030858094,
      0.0017500171330533045,
      0.0016432362599774035,
      0.0015380773881188635,
      0.0014345159421322619,
      0.0013325275876677916,
      0.0012320884348873168,
      0.001133174919211493,
      0.0010357638551729594,
      0.0009398324471275378,
      0.0008453582315196978,
      0.0007523191096084284,
      0.0006606932989333624,
      0.0005704594003839227,
      0.00048159611067012626,
      0.000394082533187809,
      0.00030789823565905664,
      0.00022302310024231346,
      0.00013943728878489163,
      5.712111426547113e-05,
      -2.394470564669822e-05,
      -0.00010377916269981251,
      -0.0001824008670293037,
      -0.0002598283303387092,
      -0.00033607968217172946,
      -0.00041117276018935766,
      -0.00048512518660028437,
      -0.0005579543165289004,
      -0.0006296771852268429,
      -0.0007003106067999896,
      -0.0007698711002024104,
      -0.0008383749668343548,
      -0.0009058383291976646,
      -0.0009722769778542715,
      -0.0010377063696759407,
      -0.0011021418095606204,
      -0.0011655983705547476,
      -0.0012280909402263452,
      -0.0012896343045444131,
      -0.0013502429007754414,
      -0.0014099308421482368,
      -0.001468712068750772,
      -0.001526600415018665,
      -0.0015836094604764694,
      -0.0016397525957985329,
      -0.0016950428779895083,
      -0.001749493361895204,
      -0.001803116769471434,
      -0.001855925629026625,
      -0.0019079322860629134,
      -0.0019591489199052817,
      -0.0020095876107697535,
      -0.0020592601071754793,
      -0.0021081781139167797,
      -0.002156353096254522,
      -0.0022037963120118405,
      -0.0022505189387284044,
      -0.0022965319011865474,
      -0.0023418458633590994,
      -0.002386471416561329,
      -0.0024304191016914813,
      -0.0024736992156289975,
      -0.00251632187731106,
      -0.002558297073649177,
      -0.0025996346539994917,
      -0.002640344375276155
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566522190613547,
      10.33535591564899,
      10.095625260860027,
      9.85049591142366,
      9.60255270825304,
      9.354066323106156,
      9.107012808556043,
      8.863043612832762,
      8.623470037633462,
      8.389257880598347,
      8.161048990068648,
      7.939197685296469,
      7.723798175669011,
      7.514727613733329,
      7.311699051378109,
      7.114309455648119,
      6.922081003084402,
      6.734499960788299,
      6.5510493577817,
      6.371230433613384,
      6.194583430541156,
      6.020694526621945,
      5.849200088995088,
      5.679808895071486,
      5.512309117490634,
      5.346565396568092,
      5.182520629422344,
      5.0201987876174305,
      4.859686275651537,
      4.701135528202694,
      4.5447703966055935,
      4.390897608249765,
      4.239878471718508,
      4.092097655449813,
      3.9479510230903845,
      3.80783104482397,
      3.6721168316038697,
      3.541153429356082,
      3.4152407205402575,
      3.2946268078134624,
      3.179503808179869,
      3.0700060236244777,
      2.966203471295919,
      2.8680940616003046,
      2.7755989462204145,
      2.688578501077713,
      2.6068499535546796,
      2.5301836172293517,
      2.4583282873715837,
      2.3910320516671932,
      2.328029598473682,
      2.2690203315622806,
      2.213673935533451,
      2.1616164773799076,
      2.112479038648441,
      2.065913876341763,
      2.0216046956373326,
      1.9792687434955079,
      1.93866903277066,
      1.8996086117051716,
      1.861931908843569,
      1.8255129179184977,
      1.790244987960265,
      1.756034154008251,
      1.7228033898000727,
      1.6904894543320579,
      1.6590391908105233,
      1.628406923043829,
      1.5985526165051072,
      1.5694405751117262,
      1.541038509808309,
      1.5133164346070327,
      1.4862443928959772,
      1.4597944951712511,
      1.4339415637651134,
      1.4086629929869472,
      1.3839384485575312,
      1.359749638629046,
      1.3360794466890693,
      1.312911241208513,
      1.2902289477379716,
      1.2680173526858267,
      1.2462635357509602,
      1.2249553919456255,
      1.2040806010594642,
      1.1836276864175117,
      1.1635872802719045,
      1.1439497340898994,
      1.1247055820576695,
      1.1058458161694125,
      1.0873614442946324,
      1.0692435571778183,
      1.0514830232072603,
      1.0340706672324333,
      1.0169974068030025,
      1.0002543352934974,
      0.9838327736907431,
      0.9677242977651757,
      0.9519207515799565,
      0.9364142522594415,
      0.9211971879607257,
      0.9062622123455791,
      0.8916022371525272,
      0.877210423081209,
      0.863080170662545,
      0.8492051106931958,
      0.835579094410859,
      0.8221961838844909,
      0.8090506429823008,
      0.7961369286643583,
      0.7834496824895005,
      0.7709837224278961,
      0.7587340356704898,
      0.7466957707583365,
      0.7348642309625554,
      0.7232348674028569,
      0.7118032733953202,
      0.700565178205611,
      0.6895164412056947,
      0.6786530464340498,
      0.6679710977606929,
      0.6574668142725876,
      0.6471365250817576,
      0.6369766654795994,
      0.6269837306991135,
      0.6171542780886908,
      0.607484984089692,
      0.5979726364878675,
      0.5886141239764979,
      0.5794064275083826,
      0.5703466144906457,
      0.5614318414074682,
      0.5526593763718747,
      0.5440265604652046,
      0.5355307899583477,
      0.5271697236220859,
      0.5189413373977754,
      0.5108435342176906,
      0.5028741436116968,
      0.49503096589220175,
      0.48731180109402,
      0.4797144669020799,
      0.47223680979165605,
      0.4648767115719503,
      0.4576320933312362,
      0.45050091762564254,
      0.44348118921628005,
      0.4365709550055872,
      0.42976830392645204,
      0.4230713661853669,
      0.4164784854641668,
      0.409988643511715,
      0.40360072891487453,
      0.39731341163612477,
      0.39112523344996697,
      0.38503466539490766,
      0.3790399310702094,
      0.3731390186938154,
      0.3673300545904214,
      0.3616114353095388,
      0.35598183700336256,
      0.35043992341869207,
      0.34498432698272796,
      0.3396136695587134,
      0.33432657547914824,
      0.32912168000199055,
      0.323997634446525,
      0.31895308580664194,
      0.3139865865157998,
      0.30909671074664474,
      0.30428210825260993,
      0.2995414863937515,
      0.2948736018298696,
      0.29027726811696947,
      0.28575133118262913,
      0.2812946560842593,
      0.27690612721018026,
      0.272584648496254,
      0.2683291434339308,
      0.2641385547074668,
      0.26001184395713745,
      0.2559479913029192,
      0.2519460644377235,
      0.24800549128517826,
      0.2441257206128168,
      0.24030606037937244,
      0.2365457312870621,
      0.2328439019241564,
      0.2291997117373635,
      0.22561228632387464,
      0.22208074735344366,
      0.21860421919555065,
      0.21518183301532814,
      0.21181272960290085,
      0.20849606084601316,
      0.20523096836465338,
      0.20201652202602943,
      0.1988518175793255,
      0.19573600006043515,
      0.19266825162857074,
      0.1896477830834322,
      0.18667382863677734,
      0.18374564193412424,
      0.1808624935431673,
      0.17802366922383978,
      0.17522846858236837,
      0.1724762041797665,
      0.16976620096561174,
      0.16709779562217497,
      0.16447033614818013,
      0.16188318174464608,
      0.1593357022589441,
      0.15682727797455415,
      0.1543572994470873,
      0.15192516731042816,
      0.1495302919573112,
      0.14717209347532395,
      0.14485000145097335,
      0.14256345466604275,
      0.14031190105568125,
      0.13809479739987707,
      0.1359116095234833,
      0.1337618116006677,
      0.1316448862406299,
      0.1295603245408811,
      0.1275076256573085,
      0.12548629676734438,
      0.12349585301942362,
      0.121535817303417,
      0.11960572001320448,
      0.11770509915694059,
      0.115833500020786,
      0.11399047508447996,
      0.11217558390882065,
      0.11038839307800091,
      0.10862847608145794,
      0.10689541305326164,
      0.10518879090825448,
      0.10350820292166846,
      0.10185324878147804,
      0.1002235345474278,
      0.09861867234521982,
      0.09703828058999535,
      0.09548198357572747,
      0.0939494114410638,
      0.09244020007185623,
      0.09095399109388422,
      0.08949043180858747,
      0.08804917509146631,
      0.08662987904236795,
      0.08523220713758166,
      0.08385582817496218,
      0.08250041604332677,
      0.08116564976454152,
      0.07985121326433504,
      0.07855679544012094,
      0.07728208995727415,
      0.07602679527222958,
      0.0747906146057833,
      0.07357325564760163,
      0.07237443067734997,
      0.07119385638100315,
      0.07003125383910537,
      0.06888634840369937,
      0.06775886980712456,
      0.06664855177453288,
      0.06555513223321692,
      0.06447835323186507,
      0.06341796075418422,
      0.06237370454359609,
      0.06134533837149276,
      0.060332619811155196,
      0.05933531008004446,
      0.05835317409256072,
      0.05738598033257196,
      0.05643350094938634,
      0.05549551146950576,
      0.054571790982246106,
      0.05366212186790311,
      0.05276628996782726,
      0.05188408437268968,
      0.05101529733482998,
      0.050159724331816695,
      0.04931716405982107,
      0.04848741822290887,
      0.04767029154008526,
      0.046865591643032514,
      0.046073129363725096,
      0.04529271820957691,
      0.04452417462561256,
      0.04376731778703873,
      0.043021969787122076,
      0.04228795537518976,
      0.0415651019176254,
      0.04085323947384224,
      0.04015220065994427,
      0.03946182081794465,
      0.038781937708646685,
      0.038112391516123265,
      0.037453024855026405,
      0.03680368266929791,
      0.03616421255386108,
      0.035534464166580126,
      0.03491428960927341,
      0.034303543187998456,
      0.03370208143644175,
      0.03310976307456944,
      0.032526449023648145,
      0.03195200219735086,
      0.03138628775538317,
      0.030829172901397264,
      0.030280526771798585,
      0.02974022049686409,
      0.029208127231978027,
      0.028684121967064657,
      0.028168081668008223,
      0.02765988520933553,
      0.02715941332703352,
      0.026666548495673407,
      0.026181175041448283,
      0.02570317905242228,
      0.02523244825762935,
      0.024768872166642905,
      0.024312341980791827,
      0.02386275061306934,
      0.023419992605928634,
      0.022983964043329794,
      0.022554562525475767,
      0.022131687270740594,
      0.02171523904554091,
      0.021305120157479724,
      0.020901234371901303,
      0.02050348697388981,
      0.020111784524707455,
      0.019726035221110542,
      0.019346148484743413,
      0.018972035230848422,
      0.01860360765924371,
      0.018240779368440208,
      0.017883465144249808,
      0.017531581249331612,
      0.017185045095072973,
      0.016843775427007338,
      0.016507692120739867,
      0.01617671633868081,
      0.015850770424647047,
      0.015529778006598438,
      0.015213663760901048,
      0.014902353594182316,
      0.01459577448002737,
      0.014293854395334604,
      0.013996522591530997,
      0.013703709304258667,
      0.013415345816965619,
      0.013131364598823131,
      0.012851698950606949,
      0.01257628332851176,
      0.01230505315697531,
      0.012037944785414912,
      0.011774895518637692,
      0.011515843745995498,
      0.011260728667968853,
      0.011009490502395955,
      0.010762070275261767,
      0.010518409941674028,
      0.01027845241730862,
      0.010042141348167367,
      0.009809421398414408,
      0.009580237995079661,
      0.009354537285775304,
      0.009132266347219123,
      0.008913373155818404,
      0.008697806262390502,
      0.008485515176012908,
      0.008276450127200494,
      0.008070562146528078,
      0.007867802878676366,
      0.007668124780922384,
      0.007471481050863916,
      0.007277825531938115,
      0.007087112824922917,
      0.006899298166894484,
      0.006714337516527884,
      0.006532187559368267,
      0.006352805537707555,
      0.006176149343675694,
      0.0060021776403040945,
      0.005830849699318002,
      0.005662125247446271,
      0.0054959647666519805,
      0.00533232926242252,
      0.005171180365328552,
      0.005012480212160425,
      0.004856191691838557,
      0.004702278070557628,
      0.004550703363140703,
      0.004401431937100572,
      0.004254428760900415,
      0.004109659336394814,
      0.00396708978612121,
      0.0038266867329805245,
      0.0036884172901671974,
      0.0035522490211144188,
      0.0034181499647169813,
      0.003286088713627016,
      0.003156034316270103,
      0.003027956250855771,
      0.002901824464951859,
      0.002777609320497274,
      0.002655281731994009,
      0.002534813014276912,
      0.00241617497353366,
      0.0022993397392715217,
      0.002184279858629058,
      0.002070968404860853,
      0.0019593787314760337,
      0.0018494847559268352,
      0.001741260723431701,
      0.001634681214291472,
      0.001529721234576932,
      0.0014263561500302035,
      0.0013245618184098082,
      0.0012243144054839734,
      0.0011255903870006371,
      0.0010283666025781967,
      0.0009326202221456226,
      0.0008383287961350554,
      0.0007454702438075168,
      0.0006540227409513985,
      0.0005639647552254112,
      0.0004752752413823744,
      0.0003879334506749025,
      0.0003019189191922539,
      0.00021721154672805284,
      0.0001337914032457484,
      5.1638955986195394e-05,
      -2.926515981014187e-05,
      -0.0001089398607477737,
      -0.00018740384231685387,
      -0.0002646755503554482,
      -0.00034077310081522433,
      -0.00041571437013287885,
      -0.0004895167534034575,
      -0.0005621976146141594,
      -0.0006337741193685178,
      -0.0007042629268830988,
      -0.0007736805990717502,
      -0.0008420434237389919,
      -0.0009093674275761803,
      -0.0009756683883115579,
      -0.0010409618457271539,
      -0.0011052630863146642,
      -0.0011685872414820284,
      -0.001230949098724586,
      -0.0012923632934465248,
      -0.0013528443410689372,
      -0.0014124062738452366,
      -0.001471063090553551,
      -0.001528828557061938,
      -0.001585716196735171,
      -0.0016417393560546323,
      -0.0016969112126667687,
      -0.0017512447127057133,
      -0.0018047525195318513,
      -0.0018574472291755162,
      -0.0019093412287853047,
      -0.0019604467198721665,
      -0.0020107756070836093,
      -0.002060339748527164,
      -0.002109150709823745,
      -0.002157219924013812,
      -0.002204558647222136,
      -0.002251178104704185,
      -0.0022970891278933604,
      -0.002342302451201886,
      -0.0023868287288606326,
      -0.0024306783799599766,
      -0.0024738617304977516,
      -0.002516388882086495,
      -0.0025582698473173558,
      -0.002599514417286903,
      -0.0026401321810234674
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566520131083925,
      10.335346659216013,
      10.095603405464272,
      9.8504563533446,
      9.602491753978711,
      9.353981488717466,
      9.106902583778407,
      8.86290722279417,
      8.623307318750829,
      8.389069339343425,
      8.160835389990668,
      7.938959647340258,
      7.7235359289894605,
      7.514441348169509,
      7.311388903420118,
      7.113975496552594,
      6.921723277585852,
      6.7341186076484245,
      6.550644610574859,
      6.370802627525747,
      6.1941329855528195,
      6.020222118151139,
      5.848706621600035,
      5.679295441169723,
      5.511776998659449,
      5.346016180471035,
      5.181956131769475,
      5.019621012314559,
      4.859097405451537,
      4.7005380596863064,
      4.54416737173745,
      4.390292662768914,
      4.239275204479666,
      4.091499646243137,
      3.947361756409185,
      3.807253986824117,
      3.671555253444898,
      3.5406102629058336,
      3.4147185160857414,
      3.2941277029446674,
      3.1790295110552877,
      3.0695578106377677,
      2.9657820627013263,
      2.867699622564752,
      2.77523104299827,
      2.6882361587053,
      2.606531545156005,
      2.529887236019385,
      2.458051937228855,
      2.3907736634292336,
      2.327786900694453,
      2.268790960150973,
      2.213455361050719,
      2.1614059622343285,
      2.1122741067110526,
      2.065712325795566,
      2.021404537132255,
      1.9790683489489798,
      1.938467172620701,
      1.8994043890079122,
      1.8617246825950187,
      1.8253022335754572,
      1.7900305010256223,
      1.7558156302675048,
      1.7225806931302372,
      1.690262518562532,
      1.6588079987470574,
      1.6281714921935655,
      1.5983129886324126,
      1.5691968078625151,
      1.540790671735534,
      1.5130646001433463,
      1.4859886614362339,
      1.459534962091103,
      1.4336783207365877,
      1.4083961522472337,
      1.38366813015463,
      1.3594759634221771,
      1.3358025221226368,
      1.3126311648750253,
      1.2899458093947802,
      1.267731312491189,
      1.24597485742404,
      1.2246642733520652,
      1.2037871961193662,
      1.1833323271221874,
      1.1632902928396762,
      1.1436513513563358,
      1.1244059949497238,
      1.1055451750445133,
      1.0870598742352091,
      1.0689411600842658,
      1.0511798808825767,
      1.0337668477425033,
      1.0166929687284616,
      0.999949331454849,
      0.9835272525194246,
      0.9674183044585548,
      0.9516143293477808,
      0.9361074425939708,
      0.9208900310504766,
      0.9059547476333386,
      0.8912945029187572,
      0.8769024571888162,
      0.8627720104296991,
      0.8488967927583718,
      0.8352706546406662,
      0.8218876576801577,
      0.8087420654259267,
      0.7958283343011926,
      0.78314110530663,
      0.7706751961805921,
      0.7584255934380968,
      0.7463874449249402,
      0.7345560534178875,
      0.7229268697101616,
      0.7114954867229147,
      0.7002576329968377,
      0.6892091671455942,
      0.6783460728404725,
      0.66766445356088,
      0.6571605277182498,
      0.646830624092787,
      0.6366711774202706,
      0.626678680977479,
      0.6168496913644002,
      0.6071808852948016,
      0.597669050368377,
      0.58831107472891,
      0.5791039391730216,
      0.5700447107536514,
      0.5611305526462299,
      0.5523587374861237,
      0.5437266013117352,
      0.53523153698623,
      0.5268712833107454,
      0.5186438191367941,
      0.5105470140304713,
      0.5025786751447041,
      0.4947365883747873,
      0.48701854429466784,
      0.4794223540891152,
      0.4719458598027792,
      0.4645869403552689,
      0.4573435149884195,
      0.45021354478329945,
      0.4431950333872483,
      0.4362860268918589,
      0.4294846135113745,
      0.4227889227685025,
      0.4161973796334724,
      0.40970898502558173,
      0.40332258878094895,
      0.39703683591812616,
      0.39085025178967653,
      0.384761296750025,
      0.37876826632230187,
      0.37286914947749816,
      0.36706203955102173,
      0.36134533812134123,
      0.35571770850411566,
      0.35017779455569475,
      0.34472421572226075,
      0.3393555851369094,
      0.33407052142297083,
      0.32886765604472407,
      0.32374563803209844,
      0.3187031194818242,
      0.3137386613155406,
      0.3088508313049619,
      0.3040382748636683,
      0.29929969640302007,
      0.2946338515462841,
      0.2900395536252124,
      0.2855156470657273,
      0.2810609957538854,
      0.2766744833322137,
      0.2723550133989971,
      0.2681015089275271,
      0.26391291233198955,
      0.2597881849607999,
      0.25572630676973224,
      0.2517263548606935,
      0.24778777020682208,
      0.24390999308663153,
      0.2400923260468996,
      0.23633398603086972,
      0.2326341392253166,
      0.22899192336105717,
      0.22540646285696458,
      0.22187687867294242,
      0.21840229460172514,
      0.2149818414510244,
      0.21161465969189705,
      0.20829990113261124,
      0.205036704982744,
      0.20182413792017967,
      0.19866129756731926,
      0.19554733018795617,
      0.19248141868108648,
      0.1894627744054168,
      0.18649063179913614,
      0.18356424484732103,
      0.18068288423934814,
      0.17784583584318392,
      0.17505239928185146,
      0.17230188714979056,
      0.1695936243885478,
      0.16692694770034594,
      0.16430120518218727,
      0.1617157559506228,
      0.15916996980111045,
      0.15666322712414174,
      0.15419491847393715,
      0.15176444439319187,
      0.14937121534091408,
      0.14701465131633248,
      0.14469418188476119,
      0.1424092458736786,
      0.14015929115215728,
      0.13794377455065795,
      0.13576216178752515,
      0.13361392712228295,
      0.1314985532377294,
      0.1294155311915476,
      0.12736436025925046,
      0.12534454762391564,
      0.1233556084972438,
      0.1213970656543647,
      0.11946844959016936,
      0.11756929826718163,
      0.1156991569757731,
      0.11385757833870858,
      0.11204412197003435,
      0.11025835448049401,
      0.10849984923266649,
      0.10676818642904093,
      0.10506295296853393,
      0.10338374226112512,
      0.1017301539814858,
      0.10010179418702891,
      0.09849827511974765,
      0.09691921511197063,
      0.0953642385634568,
      0.09383297565273381,
      0.09232506239266623,
      0.09084014047697972,
      0.08937785726066544,
      0.08793786549939385,
      0.08651982341919738,
      0.08512339455715336,
      0.08374824764590963,
      0.08239405673293998,
      0.08106050096869791,
      0.07974726424381673,
      0.07845403546397092,
      0.07718050843151904,
      0.0759263816497128,
      0.07469135835038528,
      0.07347514637622957,
      0.07227745790807938,
      0.07109800967211671,
      0.06993652287399743,
      0.0687927230126642,
      0.06766633985601066,
      0.06655710725711246,
      0.0654647630393869,
      0.06438904926865723,
      0.06332971192019703,
      0.06228650105037113,
      0.061259170365985514,
      0.060247477471974606,
      0.05925118363409049,
      0.05827005383841391,
      0.05730385667355473,
      0.05635236430292324,
      0.055415352399054936,
      0.05449260012944637,
      0.05358388994869571,
      0.05268900762232863,
      0.051807742352228334,
      0.050939886507584776,
      0.05008523559687218,
      0.0492435883187993,
      0.04841474638930698,
      0.04759851468891399,
      0.046794701014710435,
      0.04600311609791948,
      0.04522357350840095,
      0.044455889802432584,
      0.04369988432830516,
      0.04295537918918725,
      0.04222219913041055,
      0.04150017170415203,
      0.040789126980329875,
      0.04008889765205568,
      0.0393993190299562,
      0.03872022889111675,
      0.038051467566084456,
      0.037392877762121,
      0.03674430456447372,
      0.03610559553551103,
      0.0354766004481019,
      0.03485717139336707,
      0.034247162770052984,
      0.033646431088529605,
      0.03305483524138691,
      0.03247223611808985,
      0.03189849682543904,
      0.031333482433011275,
      0.03077706024169588,
      0.03022909948788604,
      0.029689471329145095,
      0.029158049002355423,
      0.028634707659159195,
      0.028119324323614577,
      0.027611777882073304,
      0.02711194907435008,
      0.026619720472573043,
      0.0261349765311723,
      0.02565760329385877,
      0.025187488673305666,
      0.024724522127169458,
      0.024268595001690395,
      0.023819600201976068,
      0.02337743232016776,
      0.022941987502791514,
      0.022513163470478374,
      0.02209085942299097,
      0.02167497616148303,
      0.021265416094581744,
      0.020862083010507314,
      0.020464882231535208,
      0.02007372048498149,
      0.01968850591953211,
      0.019309148197232943,
      0.01893555809512677,
      0.018567647836360883,
      0.018205331102502702,
      0.017848522854490966,
      0.017497139317424328,
      0.01715109798305531,
      0.016810317591881077,
      0.016474718164573438,
      0.01614422091760253,
      0.015818748297883062,
      0.015498223850486255,
      0.015182572319867027,
      0.01487171961550825,
      0.014565592820412544,
      0.014264120115494067,
      0.013967230599469591,
      0.013674854634421538,
      0.013386923591719297,
      0.013103369818311176,
      0.012824126861360547,
      0.012549129105721054,
      0.012278311930259918,
      0.01201161183593609,
      0.011748966273226712,
      0.011490313632049064,
      0.011235593127484756,
      0.010984744942940317,
      0.010737710300817863,
      0.010494431085718885,
      0.010254850233530214,
      0.01001891157744778,
      0.009786559742255575,
      0.009557740111339582,
      0.009332399038975692,
      0.009110483696874056,
      0.008891941924109893,
      0.008676722480648767,
      0.008464774858921983,
      0.0082560493019148,
      0.00805049681158908,
      0.007848069134735616,
      0.007648718796155718,
      0.0074523989823639045,
      0.007259063631576693,
      0.007068667380040791,
      0.006881165530299128,
      0.006696514054050505,
      0.006514669622711509,
      0.006335589596632332,
      0.006159231889486285,
      0.005985555165599115,
      0.005814518715990902,
      0.005646082368148083,
      0.00548020654461036,
      0.005316852376094275,
      0.005155981484413616,
      0.004997556048210065,
      0.004841538928016664,
      0.004687893565078377,
      0.004536583882189953,
      0.004387574409422233,
      0.004240830144945437,
      0.004096316703817333,
      0.003954000170279532,
      0.003813847021950579,
      0.0036758244434534197,
      0.0035399000768137692,
      0.003406041996162066,
      0.0032742188240958703,
      0.0031443996086795464,
      0.003016553810000414,
      0.0028906514728261343,
      0.002766663000908879,
      0.0026445593781220553,
      0.0025243120034380896,
      0.0024058926359591046,
      0.0022892734940604324,
      0.0021744272862542066,
      0.0020613269385341875,
      0.0019499459654151892,
      0.001840258193992803,
      0.0017322378967879267,
      0.0016258595887021418,
      0.0015210983533601192,
      0.0014179296242719105,
      0.0013163292476930238,
      0.0012162733811888874,
      0.0011177386035912062,
      0.0010207017978503946,
      0.0009251400791514124,
      0.000831031035863263,
      0.0007383525653738035,
      0.0006470829271161597,
      0.000557200689059721,
      0.0004686848154318022,
      0.00038151451387689905,
      0.00029566938322950567,
      0.00021112929490098553,
      0.00012787439036991824,
      4.588511770862946e-05,
      -3.485775614535256e-05,
      -0.00011437316998423122,
      -0.00019267982998356114,
      -0.0002697961749486087,
      -0.00034574028980274894,
      -0.00042052996381291473,
      -0.0004941826775979229,
      -0.0005667157354571213,
      -0.0006381461488582642,
      -0.0007084907733845701,
      -0.0007777659546290115,
      -0.0008459880125890912,
      -0.0009131729301697537,
      -0.000979336511578962,
      -0.0010444942088405464,
      -0.0011086614433575659,
      -0.0011718533165047292,
      -0.0012340845290373524,
      -0.0012953697061053589,
      -0.0013557232381639628,
      -0.0014151593502216904,
      -0.0014736919669094293,
      -0.0015313348690510309,
      -0.0015881015376573466,
      -0.0016440052387509132,
      -0.001699059030826022,
      -0.0017532758608407308,
      -0.001806668487591792,
      -0.0018592494429036945,
      -0.0019110310808552395,
      -0.001962025543394561,
      -0.0020122448590893472,
      -0.0020617007357590926,
      -0.0021104047529387254,
      -0.002158368337206399,
      -0.002205602756207094,
      -0.0022521191182666308,
      -0.0022979283780085254,
      -0.0023430413220070037,
      -0.0023874684521862145,
      -0.0024312202241654718,
      -0.0024743069737767046,
      -0.0025167387287209244,
      -0.002558525496070573,
      -0.0025996770278518223,
      -0.002640202942155194
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566518066773215,
      10.335337380618418,
      10.095581494202966,
      9.8504166911545,
      9.602430633728503,
      9.353896418485572,
      9.106792047265136,
      8.862770438916884,
      8.623144088584548,
      8.388880136716619,
      8.160620987868404,
      7.93872067113731,
      7.723272613374647,
      7.514153889606777,
      7.3110774447954405,
      7.113640113238255,
      6.921364028158843,
      6.7337356420772325,
      6.550238162735025,
      6.370373033261742,
      6.193680665542638,
      6.019747746324438,
      5.848211102751996,
      5.678779849488632,
      5.511242658330316,
      5.345464661640337,
      5.181389252944676,
      5.019040779748697,
      4.858506005738059,
      4.6999379939914725,
      4.543561687419624,
      4.389685004724536,
      4.238669181581687,
      4.090898846303957,
      3.94676967274605,
      3.806674095947086,
      3.67099083594718,
      3.5400642591500064,
      3.4141934840010295,
      3.293625787926382,
      3.1785524284302396,
      3.0691068422506915,
      2.9653579338282223,
      2.867302498630699,
      2.774860490011102,
      2.6878912042958074,
      2.6062105641833604,
      2.52958832310697,
      2.457773096152473,
      2.390512825954668,
      2.32754179611943,
      2.268559225501269,
      2.2132344672586135,
      2.1611931713608303,
      2.1120669436059467,
      2.06550857729634,
      2.0212022076669984,
      1.978865814714618,
      1.938263207929829,
      1.8991980989725872,
      1.8615154277076413,
      1.8250895600157093,
      1.7898140637023,
      1.755595193555014,
      1.722356119965857,
      1.6900337412040063,
      1.6585749990835639,
      1.627934286416968,
      1.5980716171120342,
      1.5689513272911375,
      1.5405411500146176,
      1.5128111109096631,
      1.4857313030538966,
      1.4592738284772102,
      1.433413503416218,
      1.4081277625464406,
      1.3833962873705032,
      1.3592007882393242,
      1.335524120564258,
      1.3123496329414706,
      1.2896612360019877,
      1.2674438574592568,
      1.245684784135597,
      1.2243717791918092,
      1.2034924348461975,
      1.1830356299252796,
      1.1629919855175392,
      1.1433516659496412,
      1.1241051220339866,
      1.1052432649724313,
      1.0867570521822691,
      1.0686375277905333,
      1.050875519741577,
      1.0334618251146352,
      1.0163873431119423,
      0.9996431550950209,
      0.983220573291199,
      0.9671111672278553,
      0.9513067768643217,
      0.9357995160690852,
      0.9205817704208081,
      0.9056461916630967,
      0.8909856896494113,
      0.8765934239231451,
      0.86246279401264,
      0.8485874296976069,
      0.8349611809145921,
      0.8215781086909536,
      0.808432476046154,
      0.7955187388613683,
      0.782831537727468,
      0.7703656895380464,
      0.7581161803335754,
      0.7460781579750266,
      0.7342469244395745,
      0.7226179300430413,
      0.7111867669325239,
      0.6999491632055873,
      0.6889009771018292,
      0.6780381918016826,
      0.6673569103482837,
      0.6568533504582154,
      0.6465238402297456,
      0.6363648137735392,
      0.6263727625426384,
      0.6165442428513185,
      0.6068759313615333,
      0.5973646154166579,
      0.5880071830242171,
      0.5788006144751623,
      0.5697419765259502,
      0.5608284425114012,
      0.552057285203696,
      0.5434258362252055,
      0.5349315141390502,
      0.5265721222535418,
      0.518345613664538,
      0.5102498296636445,
      0.5022825590923511,
      0.49444157566735875,
      0.4867246617084953,
      0.47912962304694184,
      0.47165429810645987,
      0.46429656321482476,
      0.45705433575777366,
      0.4499255754815761,
      0.4429082852113562,
      0.43600051026401637,
      0.4292003381960971,
      0.4225058980340835,
      0.41591570704202263,
      0.40942877011095746,
      0.4030438999924252,
      0.3967597174227334,
      0.39057473203852877,
      0.38448739408479493,
      0.37849604961461675,
      0.372598717991981,
      0.3667934567437663,
      0.3610786705982673,
      0.3554530089550433,
      0.34991509514000274,
      0.34446353504605437,
      0.3390969330157867,
      0.33381390189209215,
      0.3286130691489983,
      0.3234930811787922,
      0.31845259515142027,
      0.3134901803702768,
      0.3086043979975077,
      0.30379388931634443,
      0.2990573558457627,
      0.29439355229179787,
      0.2898012920220173,
      0.2852794175976517,
      0.2808267917902228,
      0.27644229754067445,
      0.27212483786098735,
      0.26787333544021896,
      0.26368673218569055,
      0.2595639893741534,
      0.2555040868648725,
      0.25150611112181714,
      0.24756951605758998,
      0.24369373355409346,
      0.23987806060989117,
      0.23612171055216005,
      0.2324238469402737,
      0.22878360602005285,
      0.22520011103417514,
      0.2216724821071162,
      0.21819984253293617,
      0.2147813227377009,
      0.21141606296327503,
      0.2081032148120532,
      0.20484191421848755,
      0.20163122602944444,
      0.19847024959848758,
      0.19535813234015853,
      0.19229405785485384,
      0.1892772379838271,
      0.18630690750659087,
      0.18338232048135708,
      0.18050274777082986,
      0.17766747532534083,
      0.17487580288641305,
      0.1721270430753423,
      0.16942052087658577,
      0.16675557298082835,
      0.16413154750743417,
      0.16154780352660988,
      0.15900371083916787,
      0.15649864971385127,
      0.15403201069682623,
      0.15160319442289227,
      0.14921161126339375,
      0.14685668121655568,
      0.14453783393261802,
      0.14225450827635916,
      0.14000615205532604,
      0.1377922220979496,
      0.13561218413514728,
      0.13346551242767346,
      0.13135168977535772,
      0.12927020715668214,
      0.1272205638257655,
      0.12520226710345794,
      0.12321483208498075,
      0.1212577816704431,
      0.11933064639023801,
      0.11743296424825991,
      0.11556428046774918,
      0.11372414759039234,
      0.1119121253509559,
      0.11012778040975968,
      0.10837068622811871,
      0.10664042309332332,
      0.10493657775879385,
      0.10325874367793691,
      0.10160652066849556,
      0.09997951480837299,
      0.09837733835830811,
      0.0967996097247782,
      0.09524595325904088,
      0.0937159991271523,
      0.09220938353075323,
      0.09072574821675784,
      0.08926474045838735,
      0.08782601307350119,
      0.08640922443097925,
      0.08501403803734471,
      0.08364012275507418,
      0.08228715261044152,
      0.08095480669598562,
      0.07964276910334876,
      0.07835072887724556,
      0.07707837965918125,
      0.0758254201176386,
      0.0745915535023105,
      0.07337648759304934,
      0.07217993479900568,
      0.07100161193084994,
      0.06984124016719455,
      0.06869854499523546,
      0.06757325623071131,
      0.06646510785671532,
      0.06537383783619893,
      0.06429918827290598,
      0.06324090523468229,
      0.06219873868987563,
      0.06117244256612097,
      0.06016177444536834,
      0.05916649568277827,
      0.05818637126287021,
      0.05722116986615151,
      0.05627066373678781,
      0.055334628588529465,
      0.05441284367336156,
      0.053505091535723436,
      0.0526111580209535,
      0.05173083228617244,
      0.050863906687170106,
      0.05001017691551124,
      0.04916944176078338,
      0.048341502979194075,
      0.04752616543800256,
      0.04672323699453161,
      0.04593252856806121,
      0.04515385392111619,
      0.044387029594556156,
      0.04363187485019157,
      0.042888211849308924,
      0.04215586542907934,
      0.04143466320387971,
      0.04072443531755198,
      0.04002501465106312,
      0.039336236540925294,
      0.03865793883808536,
      0.03798996181055044,
      0.03733214822756864,
      0.03668434319221377,
      0.036046394294732796,
      0.0354181515146868,
      0.03479946704927677,
      0.034190195293937437,
      0.033590192929505235,
      0.032999318773212695,
      0.03241743380667374,
      0.031844401212249365,
      0.03128008621434662,
      0.03072435612560745,
      0.03017708011491376,
      0.029638129555341383,
      0.02910737761054529,
      0.028584699540934316,
      0.028069972394188285,
      0.027563075167251507,
      0.027063888727794302,
      0.026572295704658067,
      0.026088180467933743,
      0.025611429217425822,
      0.025141929976431825,
      0.024679572382789818,
      0.024224247664434078,
      0.023775848818076012,
      0.02333427036214238,
      0.022899408496560143,
      0.022471161008354425,
      0.02204942725938699,
      0.021634108187002316,
      0.021225106164175143,
      0.020822325030739667,
      0.02042567010497171,
      0.020035048289869045,
      0.01965036774048166,
      0.019271538038364944,
      0.01889847013640909,
      0.018531076404512507,
      0.018169270546994704,
      0.017812967563630624,
      0.01746208372817063,
      0.01711653653379599,
      0.01677624476440097,
      0.016441128538698144,
      0.01611110910528648,
      0.015786108947700623,
      0.015466051741155248,
      0.015150862212361135,
      0.014840466347377452,
      0.014534791145514826,
      0.014233764899603787,
      0.013937316863756063,
      0.013645377332432235,
      0.013357877875912994,
      0.013074750893782653,
      0.012795929897113704,
      0.012521349368403958,
      0.012250944727370094,
      0.011984652459243182,
      0.011722410120382144,
      0.01146415602304127,
      0.0112098294708081,
      0.010959370793906395,
      0.010712721153240791,
      0.01046982263416822,
      0.010230618140189794,
      0.009995051448802765,
      0.009763067277102633,
      0.009534611173137102,
      0.009309629531416171,
      0.00908806943317067,
      0.00886987880162917,
      0.008655006394738011,
      0.008443401737651785,
      0.008235015217444963,
      0.008029797888370273,
      0.007827701400639238,
      0.007628678370642416,
      0.0074326820356361645,
      0.0072396664586811404,
      0.007049586214556057,
      0.006862396707693466,
      0.006678054009952287,
      0.006496514796388176,
      0.006317736359569238,
      0.006141676747576588,
      0.00596829452904391,
      0.00579754902524261,
      0.005629400239336818,
      0.00546380864852312,
      0.005300735246187286,
      0.005140141808627145,
      0.004981990617610891,
      0.004826244516275222,
      0.004672867004633081,
      0.004521822039361826,
      0.004373074108391985,
      0.004226588250639632,
      0.004082330103289378,
      0.003940265798707062,
      0.003800362015888642,
      0.0036625859006677026,
      0.003526905032108941,
      0.0033932875942904303,
      0.003261702168683877,
      0.003132117763403897,
      0.0030045039716242185,
      0.002878830851566926,
      0.0027550689878990888,
      0.002633189242617537,
      0.0025131630604070926,
      0.0023949622163583154,
      0.002278558877122511,
      0.002163925745954925,
      0.0020510359175801305,
      0.0019398628805239277,
      0.0018303805340928237,
      0.0017225630793011178,
      0.0016163852231330738,
      0.0015118220600981972,
      0.0014088491144109195,
      0.001307442142150781,
      0.0012075772650559017,
      0.0011092311439292923,
      0.0010123806771385202,
      0.0009170030627016325,
      0.0008230759629620748,
      0.0007305773215634255,
      0.0006394853342697228,
      0.0005497786304731534,
      0.0004614361191619694,
      0.0003744370717121108,
      0.0002887611485725841,
      0.00020438820481657934,
      0.00012129833205169857,
      3.94720474903829e-05,
      -4.1109999103171617e-05,
      -0.00012046663026882485,
      -0.00019861645685398683,
      -0.00027557778538443673,
      -0.00035136870285090737,
      -0.0004260069695226604,
      -0.0004995101013446561,
      -0.0005718955151453996,
      -0.0006431801643200404,
      -0.0007133807264434853,
      -0.0007825137004790153,
      -0.0008505953251150605,
      -0.0009176416172161871,
      -0.0009836682692315989,
      -0.0010486908445080855,
      -0.0011127246728748438,
      -0.0011757847962742918,
      -0.0012378858625812857,
      -0.0012990425203393372,
      -0.0013592690752301194,
      -0.001418579686351342,
      -0.0014769883135913628,
      -0.001534508632663781,
      -0.001591154203087985,
      -0.0016469383624934267,
      -0.0017018742216992273,
      -0.0017559746971419605,
      -0.0018092524089616203,
      -0.0018617198766550935,
      -0.0019133894348813563,
      -0.0019642732055141577,
      -0.002014383164216393,
      -0.002063731130229919,
      -0.0021123285645461877,
      -0.002160186939784114,
      -0.002207317466718519,
      -0.0022537313420651997,
      -0.002299439353446051,
      -0.0023444521761636027,
      -0.0023887805297267044,
      -0.002432434805901475,
      -0.0024754252120860075,
      -0.002517761874822695,
      -0.002559454726782416,
      -0.002600513431156594,
      -0.002640947776028099
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566515999309022,
      10.335328083210694,
      10.095559540029498,
      9.850376930649237,
      9.602369356600146,
      9.353811126187374,
      9.106681219858839,
      8.862633295639773,
      8.622980376419177,
      8.388690287319758,
      8.16040578765952,
      7.938480757011947,
      7.723008232353825,
      7.513865249763734,
      7.310764696848879,
      7.113303340302911,
      6.921003309456616,
      6.733351143092355,
      6.549830119243907,
      6.369941783130755,
      6.193226631021349,
      6.019271603278903,
      5.847713757097327,
      5.678262375238284,
      5.510706380663418,
      5.344911152413747,
      5.180820333635251,
      5.018458460232811,
      4.857912476798831,
      4.699335761520959,
      4.542953804977143,
      4.38907512271841,
      4.2380609144461205,
      4.090295789178251,
      3.946175325958112,
      3.8060919421244623,
      3.6704241617434517,
      3.5395160117649476,
      3.4136662263596667,
      3.2931216691307337,
      3.178073167816478,
      3.068653725346955,
      2.9649316886597936,
      2.866903291904962,
      2.7744878879553974,
      2.6875442354927532,
      2.6058876033204794,
      2.5292874636526106,
      2.457492341396234,
      2.390250106652231,
      2.3272948409342753,
      2.26832567072952,
      2.2130117824429485,
      2.16097861756531,
      2.1118580448762456,
      2.0653031215136526,
      2.020998200172685,
      1.9786616327488298,
      1.9380576267989527,
      1.8989902245670547,
      1.8613046204849575,
      1.8248753657787895,
      1.7895961366547266,
      1.7553732971272085,
      1.7221301156711888,
      1.6898035607314954,
      1.6583406236541829,
      1.6276957318729304,
      1.5978289228868494,
      1.5687045493289602,
      1.5402903550041889,
      1.5125563718375807,
      1.4854727176460802,
      1.4590114900330713,
      1.4331475022103428,
      1.4078582088427762,
      1.3831232997013057,
      1.3589244865734427,
      1.3352446107226625,
      1.3120670104278978,
      1.2893755895072316,
      1.2671553467532963,
      1.2453936727828283,
      1.224078264386387,
      1.2031966693823652,
      1.1827379448862307,
      1.1626927062889338,
      1.1430510247220744,
      1.1238033088800792,
      1.1049404296017487,
      1.0864533186845833,
      1.0683329969904334,
      1.0505702722383543,
      1.03315592866653,
      1.016080855826179,
      0.9993361285994785,
      0.9829130551274414,
      0.9668032022146438,
      0.9509984073313811,
      0.9354907826908295,
      0.9202727127357981,
      0.9053368483811358,
      0.8906760990014503,
      0.8762836234950586,
      0.8621528204692069,
      0.8482773191084271,
      0.8346509686134701,
      0.821267829941214,
      0.8081221653250634,
      0.7952084301029423,
      0.7825212644044004,
      0.7700554848117704,
      0.7578060768663784,
      0.7457681874033905,
      0.7339371182373081,
      0.7223083191053011,
      0.7108773818896379,
      0.6996400340429678,
      0.6885921331530909,
      0.677729662039003,
      0.6670487232075495,
      0.6565455339361335,
      0.6462164220505051,
      0.636057821140981,
      0.6260662204860938,
      0.6162381758662773,
      0.6065703641012505,
      0.597059572488037,
      0.5877026886259559,
      0.5784966924613881,
      0.5694386523455479,
      0.5605257504920873,
      0.551755257616098,
      0.5431245012184661,
      0.5346309404767934,
      0.5262724359424522,
      0.5180469009691944,
      0.5099521511749607,
      0.5019859588347296,
      0.4941460864323684,
      0.4864303088708816,
      0.4788364270024525,
      0.47136227584870577,
      0.46400572959078257,
      0.4567647038716619,
      0.449637157241332,
      0.44262109140818995,
      0.4357145511784698,
      0.42891562363831864,
      0.4222224371748289,
      0.415633601533731,
      0.40914812546039936,
      0.402764784428595,
      0.39648217497846167,
      0.3902987909633847,
      0.3842130724513522,
      0.37822340007334226,
      0.3723278458092304,
      0.36652442933234514,
      0.36081155731092385,
      0.35518786390034146,
      0.34965195141312644,
      0.34420241187497,
      0.3388378405643259,
      0.33355684419505427,
      0.3283580464239454,
      0.3232400908106762,
      0.3182016418212055,
      0.31324127419140513,
      0.3083575427301225,
      0.30354908467860336,
      0.2988145989413519,
      0.29415283920304985,
      0.28956261841817854,
      0.28504277769739067,
      0.2805921789071193,
      0.2762097042540242,
      0.2718942561310364,
      0.2676447569606944,
      0.2634601485296343,
      0.25933939170504433,
      0.255281466166003,
      0.25128546774361604,
      0.247350863306828,
      0.24347707651046704,
      0.2396633987962751,
      0.23590903981623995,
      0.23221316067200745,
      0.22857489581136828,
      0.22499336743212614,
      0.22146769490416668,
      0.21799700095082444,
      0.21458041562082525,
      0.21121707886761973,
      0.20790614206642055,
      0.2046467367982119,
      0.2014379274913344,
      0.19827881519185606,
      0.19516854840233716,
      0.1921063112858483,
      0.18909131612967423,
      0.18612279806847382,
      0.18320001136185599,
      0.18032222703463735,
      0.17748873104527463,
      0.17469882312859902,
      0.17195181592790063,
      0.16924703445283462,
      0.1665838154213346,
      0.1639615068034962,
      0.1613794677562291,
      0.15883706814172055,
      0.1563336882072948,
      0.15386871855314102,
      0.15144155975887003,
      0.14905162227235016,
      0.14669832608988073,
      0.14438110069823087,
      0.14209938504938172,
      0.13985262705332754,
      0.13764028351633648,
      0.13546182012362826,
      0.13331671123180525,
      0.13120443948339686,
      0.12912449602468173,
      0.1270763800173663,
      0.12505959872181552,
      0.12307366729937812,
      0.1211181087221262,
      0.11919245361095983,
      0.11729623987529228,
      0.11542901285250304,
      0.11359032507650671,
      0.11177973627324711,
      0.10999681320059372,
      0.10824112934594235,
      0.10651226500216905,
      0.10480980706004901,
      0.10313334893707636,
      0.10148249049605183,
      0.09985683772446534,
      0.09825600300041373,
      0.09667960482640794,
      0.09512726760335008,
      0.09359862152595358,
      0.09209330271448742,
      0.090610953054997,
      0.08915121981765733,
      0.08771375592340017,
      0.0862982197309456,
      0.08490427495726949,
      0.08353159040994938,
      0.0821798400906285,
      0.08084870326879708,
      0.07953786402717412,
      0.07824701146384698,
      0.07697583938684571,
      0.07572404634104236,
      0.07449133562584527,
      0.07327741516503045,
      0.07208199733284913,
      0.07090479903771771,
      0.06974554152648914,
      0.06860395042720324,
      0.06747975560754245,
      0.06637269096583981,
      0.06528249459293924,
      0.06420890860301372,
      0.06315167920804059,
      0.062110556419178176,
      0.06108529409312653,
      0.060075649983145234,
      0.059081385498953386,
      0.05810226569344967,
      0.057138059278868385,
      0.05618853865008486,
      0.05525347953047938,
      0.05433266112961689,
      0.053425866069125395,
      0.05253288032744046,
      0.05165349321643927,
      0.05078749711929504,
      0.049934687723350336,
      0.04909486383594357,
      0.04826782746339369,
      0.04745338352673532,
      0.0466513398936521,
      0.04586150734232421,
      0.045083699736289264,
      0.0443177337311507,
      0.043563428777822655,
      0.04282060706343994,
      0.04208909350090582,
      0.04136871571259453,
      0.0406593039293786,
      0.03996069098504538,
      0.039272712321006674,
      0.038595205915036276,
      0.037928012165461496,
      0.0372709738611099,
      0.03662393629095004,
      0.035986747076692034,
      0.03535925606864466,
      0.03474131559698229,
      0.03413278011828899,
      0.03353350641447384,
      0.03294335337115239,
      0.03236218198352222,
      0.03178985548192311,
      0.031226239147530175,
      0.030671200257355757,
      0.03012460818278211,
      0.029586334350104174,
      0.029056252088257135,
      0.028534236629862052,
      0.028020165113766118,
      0.027513916518054387,
      0.0270153717087314,
      0.026524413400208766,
      0.026040926122890242,
      0.025564796102391187,
      0.025095911329746055,
      0.024634161581458355,
      0.02417943819176107,
      0.023731634174554917,
      0.02329064413556407,
      0.02285636433695337,
      0.022428692615897708,
      0.02200752840430356,
      0.021592772732933946,
      0.021184327963037167,
      0.020782098046654058,
      0.02038598838417371,
      0.019995905835762422,
      0.01961175862989481,
      0.019233456449551843,
      0.01886091026255064,
      0.018494032469102233,
      0.0181327368449234,
      0.017776938445109285,
      0.01742655359574547,
      0.01708149987783984,
      0.016741696134944122,
      0.016407062517792476,
      0.016077520317681233,
      0.01575299203964265,
      0.015433401353134103,
      0.015118673104593949,
      0.014808733219912024,
      0.014503508961188866,
      0.014202928552415997,
      0.013906921375353638,
      0.01361541785801735,
      0.01332834937981741,
      0.013045648460617258,
      0.012767248718737835,
      0.012493084604301383,
      0.012223091676521585,
      0.011957206554382534,
      0.011695366687436586,
      0.011437510472766622,
      0.011183577331687183,
      0.010933507554576208,
      0.010687242391253375,
      0.010444723966795324,
      0.010205895188048318,
      0.009970699965003951,
      0.009739082965326567,
      0.009510989766143807,
      0.009286366786910038,
      0.009065161149155959,
      0.008847320946035183,
      0.008632794949762225,
      0.008421532766867487,
      0.008213484646538764,
      0.008008601705480874,
      0.0078068358507116225,
      0.007608139597003423,
      0.007412466211285167,
      0.007219769720300242,
      0.007030004850883778,
      0.006843127036890538,
      0.006659092377895907,
      0.006477857581403274,
      0.006299380028255407,
      0.006123617828013265,
      0.005950529578242782,
      0.005780074666507789,
      0.005612212970913689,
      0.005446905052390795,
      0.00528411210829658,
      0.005123795820014478,
      0.004965918520617983,
      0.004810443091499934,
      0.004657333058437921,
      0.004506552353041079,
      0.004358065565698244,
      0.0042118377427264935,
      0.004067834599286156,
      0.0039260223082541795,
      0.003786367513930378,
      0.003648837328190344,
      0.0035133993922897167,
      0.0033800219407615077,
      0.00324867369567795,
      0.0031193237312145813,
      0.002991941530390358,
      0.0028664972341814537,
      0.0027429613716460255,
      0.0026213049096167284,
      0.0025014992659676168,
      0.00238351628017709,
      0.002267328249071074,
      0.0021529077989011166,
      0.0020402280768953077,
      0.0019292626203690148,
      0.0018199853165651791,
      0.0017123705799961364,
      0.0016063929974578241,
      0.0015020276546625993,
      0.0013992500826527394,
      0.0012980361175615155,
      0.0011983619519172009,
      0.0011002040664947344,
      0.00100353948170149,
      0.0009083454827237751,
      0.0008145997467277676,
      0.0007222803060848447,
      0.0006313653666881848,
      0.0005418336041678638,
      0.0004536638700806361,
      0.0003668355034598094,
      0.0002813281732851101,
      0.00019712175405746493,
      0.00011419634241654629,
      3.2532477718480096e-05,
      -4.7889010525661534e-05,
      -0.0001270870206746498,
      -0.00020508018314213677,
      -0.0002818868001910391,
      -0.0003575248348242008,
      -0.0004320121786412309,
      -0.0005053662257567479,
      -0.0005776042720471889,
      -0.0006487433475889685,
      -0.0007188001436789907,
      -0.0007877911991360407,
      -0.0008557327106837641,
      -0.0009226406285385856,
      -0.0009885306680078722,
      -0.0010534182568146542,
      -0.0011173186974284403,
      -0.0011802469343967792,
      -0.001242217791163151,
      -0.0013032458248231633,
      -0.0013633454467207218,
      -0.0014225307628774409,
      -0.0014808156357040154,
      -0.0015382138084000362,
      -0.0015947387235397648,
      -0.00165040369674921,
      -0.001705221803408206,
      -0.0017592059494022836,
      -0.0018123688515194081,
      -0.001864722909308544,
      -0.0019162804702776328,
      -0.0019670536872186343,
      -0.002017054483348795,
      -0.0020662945419050237,
      -0.0021147856065543906,
      -0.002162538967474398,
      -0.0022095657921826807,
      -0.0022558770992662162,
      -0.002301483839771445,
      -0.0023463967812178362,
      -0.002390626454471499,
      -0.0024341832969509655,
      -0.00247707746446799,
      -0.002519319068345272,
      -0.0025609180115042816,
      -0.002601884135568192,
      -0.002642227043160812
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566513931234478,
      10.335318785701894,
      10.095537585197228,
      9.850337130554076,
      9.602308004218044,
      9.353725727139606,
      9.10657025834314,
      8.86249599221393,
      8.622816482568554,
      8.38850023450491,
      8.160190361969685,
      7.938240584242669,
      7.722743548624966,
      7.513576267600122,
      7.310451573307686,
      7.112966162776145,
      6.920642162636348,
      6.732966197785945,
      6.54942161378003,
      6.369510054834336,
      6.192772102759891,
      6.018794949322498,
      5.847215881611695,
      5.677744353464787,
      5.510169538244714,
      5.34435706224348,
      5.180250816714543,
      5.01787552707489,
      4.857318318527481,
      4.698732885139404,
      4.542345264990565,
      4.388464571803199,
      4.237451974538403,
      4.089692055977723,
      3.9455803004593215,
      3.805509107761611,
      3.669856805850695,
      3.5389670810264704,
      3.4131382843895977,
      3.292616865264648,
      3.177593219416968,
      3.068199916704259,
      2.9645047461755616,
      2.866503381141909,
      2.774114575289952,
      2.6871965479471793,
      2.6055639142475724,
      2.528985866886504,
      2.457210841244038,
      2.389986635227916,
      2.327047128541444,
      2.2680913549816846,
      2.212788334928098,
      2.1607633012251184,
      2.111648387073145,
      2.0650969141787767,
      2.0207934521510844,
      1.9784567243556364,
      1.9378513344482582,
      1.8987816554794688,
      1.8610931360903231,
      1.824660512296039,
      1.789377567644367,
      1.755150775469005,
      1.721903503087921,
      1.6895727886161025,
      1.6581056724829035,
      1.6274566164026156,
      1.597585682097087,
      1.5684572389398745,
      1.5400390418679795,
      1.5123011325995004,
      1.485213647577984,
      1.4587486808917156,
      1.432881042931064,
      1.4075882096255565,
      1.3828498787166936,
      1.3586477627278686,
      1.3349646893991272,
      1.3117839876250001,
      1.2890895534650546,
      1.2668664793022444,
      1.2451022286158338,
      1.223784435234191,
      1.2029006047588486,
      1.1824399726904176,
      1.162393149733898,
      1.1427501137687188,
      1.1235012321268454,
      1.1046373357849026,
      1.0861493314216577,
      1.0680282170848565,
      1.0502647805679437,
      1.032849792297133,
      1.0157741326268408,
      0.9990288702618378,
      0.9826053087965211,
      0.9664950121578793,
      0.9506898159351324,
      0.9351818307356233,
      0.9199634398146562,
      0.9050272930551753,
      0.8903662988957617,
      0.8759736155384882,
      0.8618426414822954,
      0.847967005010375,
      0.8343405549949436,
      0.820957351763538,
      0.8078116570186743,
      0.7948979257085708,
      0.7822107974009902,
      0.7697450882165116,
      0.7574957831991561,
      0.7454580289233913,
      0.7336271266887775,
      0.7219985257355552,
      0.7105678170517735,
      0.6993307275019068,
      0.6882831145112946,
      0.6774209601118253,
      0.6667403661535072,
      0.6562375497860664,
      0.6459088381869411,
      0.6357506643555194,
      0.6257595158584217,
      0.6159319476164002,
      0.6062646364583909,
      0.5967543697400107,
      0.5873980347560285,
      0.5781926112623126,
      0.5691351728172913,
      0.5602229084671648,
      0.5514530838868308,
      0.542823022927296,
      0.5343302321101677,
      0.525972620478167,
      0.5177480628865264,
      0.5096543500567136,
      0.5016892375559172,
      0.49385047720200376,
      0.4861358368171221,
      0.4785431123298903,
      0.4710701353129095,
      0.46371477757466634,
      0.45647495334767146,
      0.449348620113677,
      0.44233377856734235,
      0.4354284727765766,
      0.42863078923061304,
      0.42193885593184366,
      0.4153513750563489,
      0.4088673591274575,
      0.4024855463403363,
      0.39620450916489847,
      0.39002272574677743,
      0.3839386258485477,
      0.3779506198969482,
      0.3720568351897486,
      0.366255271704615,
      0.3605443297676479,
      0.35492261443519646,
      0.34938870893972146,
      0.3439411928745144,
      0.3385786532934605,
      0.33329969149943317,
      0.3281029274732263,
      0.32298700262626295,
      0.31795059253475366,
      0.31299227181365685,
      0.3081105900782718,
      0.30330418070331966,
      0.29857174004955245,
      0.2939120219045393,
      0.28932383820437096,
      0.2848060286908456,
      0.2803574542028876,
      0.27597699648409085,
      0.2716635573631017,
      0.26741605872043067,
      0.2632334421494367,
      0.2591146683522601,
      0.2550587167667843,
      0.2510646926192502,
      0.24713207580075344,
      0.24326028158876598,
      0.23944859586999656,
      0.23569622466082765,
      0.23200232665698467,
      0.22836603453455648,
      0.2247864693460065,
      0.22126274964317522,
      0.21779399770589503,
      0.2143793431669576,
      0.2110179257543736,
      0.20770889675539717,
      0.2044513832955973,
      0.20124444942257078,
      0.19808719767158317,
      0.19497877755627502,
      0.19191837409375448,
      0.18890520000335997,
      0.18593849073599286,
      0.18301750082822268,
      0.18014150130123094,
      0.17730977820993193,
      0.17452163131986392,
      0.17177637341709795,
      0.16907332942181696,
      0.16641183604155566,
      0.1637912413331116,
      0.16121090438274605,
      0.15867019489977902,
      0.15616849330893093,
      0.15370519011368478,
      0.15127968585286694,
      0.14889139103324597,
      0.14653972572681323,
      0.14422411942982444,
      0.14194401093539957,
      0.13969884821979758,
      0.1374880881384504,
      0.13531119638329417,
      0.13316764724283617,
      0.13105692346411488,
      0.12897851612699973,
      0.1269319244545526,
      0.12491665581963306,
      0.12293222536927294,
      0.12097815595279664,
      0.11905397816306094,
      0.11715923009015927,
      0.11529345716231934,
      0.11345621192106357,
      0.11164705406051165,
      0.10986555035648386,
      0.10811127430020126,
      0.10638380615482688,
      0.10468273285563476,
      0.10300764784350797,
      0.10135815105351288,
      0.09973384867676063,
      0.09813435301983821,
      0.09655928260107498,
      0.09500826187946389,
      0.09348092117590182,
      0.0919768965634886,
      0.09049582986633029,
      0.08903736851917156,
      0.08760116559295741,
      0.0861868793437593,
      0.08479417346021051,
      0.08342271687523062,
      0.08207218372339829,
      0.0807422532593737,
      0.07943260961009116,
      0.0781429418651559,
      0.0768729439434951,
      0.07562231451838354,
      0.07439075695018244,
      0.07317797918458406,
      0.07198369378548487,
      0.07080761748178711,
      0.06964947164858783,
      0.06850898200976678,
      0.06738587842693247,
      0.06627989487782456,
      0.06519076956136609,
      0.06411824467460041,
      0.06306206637312102,
      0.062021984764545846,
      0.06099775380595347,
      0.05998913126279369,
      0.05899587864054776,
      0.05801776112746056,
      0.057054547496422095,
      0.056106010144468005,
      0.05517192484370177,
      0.05425207084801512,
      0.05334623089857732,
      0.05245419096878014,
      0.05157574029180934,
      0.05071067145421589,
      0.04985878032739831,
      0.04901986574104388,
      0.04819372954931151,
      0.04738017678505717,
      0.04657901552351028,
      0.04579005676410383,
      0.045013114224749295,
      0.044248004607472864,
      0.04349454739857834,
      0.042752564885763455,
      0.04202188203666289,
      0.04130232660054739,
      0.040593728880501834,
      0.03989592174110808,
      0.03920874073070286,
      0.03853202378457811,
      0.03786561145273253,
      0.0372093465936598,
      0.03656307449687019,
      0.03592664285220076,
      0.035299901658864576,
      0.03468270321930862,
      0.03407490210405673,
      0.03347635505192863,
      0.03288692101530257,
      0.03230646116019852,
      0.031734838750317046,
      0.031171919141359947,
      0.03061756972597685,
      0.030071659899565586,
      0.029534061103264144,
      0.02900464673542368,
      0.02848329207041121,
      0.027969874419986388,
      0.027464272787315905,
      0.02696636804930371,
      0.026476042974335978,
      0.0259931821582254,
      0.025517671871995124,
      0.025049400151245852,
      0.024588256752866598,
      0.02413413312417987,
      0.023686922398446043,
      0.023246519281684506,
      0.02281282013688148,
      0.022385722864819557,
      0.021965126904995216,
      0.021550933153833485,
      0.021143044238186644,
      0.020741364083038442,
      0.020345798178051835,
      0.019956253334544274,
      0.019572637854918556,
      0.019194861453398715,
      0.01882283529029759,
      0.01845647189136172,
      0.018095685059508548,
      0.017740389791406155,
      0.017390502466116276,
      0.017045940727443587,
      0.016706623536426483,
      0.016372470980959574,
      0.016043404497022254,
      0.015719346694287754,
      0.015400221294621742,
      0.015085953119179594,
      0.014776468200879253,
      0.014471693767967314,
      0.014171558066798682,
      0.013875990519709395,
      0.013584921587821852,
      0.013298282835780226,
      0.0130160067714753,
      0.012738027077630373,
      0.012464278345387964,
      0.012194696122954126,
      0.011929217012916443,
      0.011667778506167651,
      0.011410319169337406,
      0.011156778461083289,
      0.010907096634511048,
      0.010661214903678775,
      0.010419075416549371,
      0.010180621231613519,
      0.00994579620888865,
      0.009714545152307767,
      0.00948681366968576,
      0.009262548207111723,
      0.00904169608092332,
      0.008824205264273311,
      0.008610024692347246,
      0.008399103807157148,
      0.008191393039930025,
      0.007986843667569356,
      0.007785407526004897,
      0.007587037132998491,
      0.007391685851599324,
      0.00719930762432208,
      0.007009857346055813,
      0.00682329052145231,
      0.006639563179643287,
      0.006458632038646998,
      0.0062804545835735736,
      0.006104988899888659,
      0.005932193718688873,
      0.005762028445613518,
      0.005594452988983716,
      0.0054294278949148225,
      0.005266914325977535,
      0.005106874131608125,
      0.00494926968549827,
      0.004794063896941019,
      0.004641220198943205,
      0.004490702741841799,
      0.004342476093430245,
      0.004196505309835506,
      0.0040527561866306365,
      0.003911194869827637,
      0.00377178793931442,
      0.0036345026977243513,
      0.0034993068319674222,
      0.0033661685980847776,
      0.0032350566713292366,
      0.003105940169455769,
      0.002978788697140413,
      0.002853572347312874,
      0.0027302617361127514,
      0.0026088278305311276,
      0.0024892421206653068,
      0.0023714764379085818,
      0.002255503060712197,
      0.0021412947010757723,
      0.002028824537409898,
      0.0019180660455578476,
      0.0018089932255750825,
      0.001701580423261143,
      0.0015958023566650407,
      0.0014916341123390295,
      0.0013890512891434896,
      0.0012880297052993098,
      0.0011885456216074479,
      0.0010905755844985237,
      0.0009940965248971016,
      0.0008990858076135073,
      0.0008055211867984647,
      0.0007133805853391899,
      0.0006226423005736869,
      0.0005332849383082604,
      0.0004452875196570916,
      0.00035862941126784493,
      0.00027329018078624945,
      0.00018924968207441654,
      0.0001064882496686091,
      2.498636699332338e-05,
      -5.5275123832088574e-05,
      -0.00013431508468167457,
      -0.000212152110687991,
      -0.0002888045399235603,
      -0.00036429025162032004,
      -0.00043862711818705197,
      -0.0005118326873058731,
      -0.0005839241043935147,
      -0.0006549183136565259,
      -0.0007248321120039209,
      -0.000793681833014224,
      -0.0008614836656322852,
      -0.0009282536032488776,
      -0.0009940073920523423,
      -0.0010587603764331721,
      -0.0011225279855448546,
      -0.0011853251385471099,
      -0.0012471665895736751,
      -0.0013080668520319078,
      -0.0013680402492411217,
      -0.0014271008114208315,
      -0.0014852625727060644,
      -0.0015425391937032074,
      -0.0015989441041839591,
      -0.0016544905684459591,
      -0.0017091916546752768,
      -0.0017630602163442501,
      -0.0018161089299765817,
      -0.0018683502366133515,
      -0.0019197964417788245,
      -0.001970459700036613,
      -0.002020351935497736,
      -0.002069484812313842,
      -0.002117869914147525,
      -0.0021655185986677347,
      -0.0022124421376556783,
      -0.002258651500304496,
      -0.002304157555542978,
      -0.002348971070034462,
      -0.0023931025914521596,
      -0.0024365624520329204,
      -0.0024793608277551725,
      -0.0025215078610200947,
      -0.002563013420603893,
      -0.0026038872232350034,
      -0.0026441389417234487
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56651186387201,
      10.335309492870461,
      10.095515643623212,
      9.850297354802162,
      9.602246687548377,
      9.353640376520442,
      9.106459357070623,
      8.862358760708341,
      8.62265267125029,
      8.388310275272925,
      8.159975026724695,
      7.938000495090918,
      7.72247894153425,
      7.513287357736378,
      7.310138516521776,
      7.112629046419276,
      6.920281093614236,
      6.732581366459097,
      6.549013251276965,
      6.369078495136973,
      6.192317765211142,
      6.018318496802535,
      5.846718208434562,
      5.677226534932053,
      5.50963290120197,
      5.343803179065967,
      5.179681508936277,
      5.017292805998957,
      4.8567243753714555,
      4.698130226360053,
      4.541736945078699,
      4.3878542416650115,
      4.236843258843403,
      4.089088546941422,
      3.9449854942312528,
      3.804926483297546,
      3.6692896459807156,
      3.5384183289514923,
      3.4126104999787525,
      3.2921121944022813,
      3.1771133777814144,
      3.0677461862701647,
      2.964077851455928,
      2.866103486017925,
      2.773741245604547,
      2.6868488120632965,
      2.6052401463948445,
      2.528684161920158,
      2.456929204502703,
      2.3897230004162324,
      2.3267992278716743,
      2.2678568279365794,
      2.2125646555470166,
      2.16054773658057,
      2.111438468722307,
      2.06489043964316,
      2.0205884346179874,
      1.9782515472488045,
      1.9376447781349275,
      1.8985728300151374,
      1.8608814051524702,
      1.8244454236872176,
      1.7891587758970962,
      1.754928043927368,
      1.7216766928753373,
      1.6893418307888073,
      1.6578705476504922,
      1.6272173398777785,
      1.5973422921627474,
      1.5682097899300391,
      1.5397875997833264,
      1.5120457777895178,
      1.4849544741173764,
      1.458485779324743,
      1.4326145015781164,
      1.4073181371965577,
      1.3825763926973247,
      1.3583709821974328,
      1.334684719145689,
      1.3115009222861276,
      1.2888034808323463,
      1.2665776284273433,
      1.2448108375657931,
      1.2234906848089415,
      1.2026046366796355,
      1.1821421100939025,
      1.1620937119092947,
      1.1424493284024393,
      1.1231992864780675,
      1.1043343776759142,
      1.0858454841333876,
      1.067723580541693,
      1.049959434378519,
      1.032543803188648,
      1.0154675582961543,
      0.9987217624456007,
      0.982297714851632,
      0.9661869759675955,
      0.9503813793118554,
      0.9348730343053473,
      0.9196543229771392,
      0.904717894494886,
      0.8900566564747499,
      0.8756637663839953,
      0.8615326219647536,
      0.8476568510686996,
      0.8340303021997045,
      0.8206470347113075,
      0.8075013101417466,
      0.7945875831611834,
      0.7819004927355573,
      0.769434854483142,
      0.7571856526813497,
      0.7451480333484981,
      0.7333172971246095,
      0.7216888929367521,
      0.7102584116211423,
      0.6990215796115918,
      0.6879742536424462,
      0.6771124153710185,
      0.6664321661999258,
      0.6559297222936915,
      0.6456014102390434,
      0.6354436627802457,
      0.6254529656498049,
      0.6156258732696022,
      0.6059590624832841,
      0.5964493203041878,
      0.5870935339317378,
      0.5778886827335594,
      0.5688318471351809,
      0.5599202207346643,
      0.5511510642512877,
      0.5425216980952035,
      0.53402970970784,
      0.5256730110997105,
      0.5174494432916524,
      0.5093567747018853,
      0.5013927461041304,
      0.4935550996636508,
      0.485841596592775,
      0.4782500285654594,
      0.47077822439547207,
      0.4634240536988708,
      0.4561854290445733,
      0.44906030687103876,
      0.4420466872638376,
      0.435142613524597,
      0.4283461716704495,
      0.4216555326509012,
      0.4150694668195813,
      0.40858694757888575,
      0.40220668440381,
      0.39592723106902605,
      0.3897470534693431,
      0.38366457322458614,
      0.37767819575271877,
      0.37178612443514325,
      0.3659863761152903,
      0.3602773384112778,
      0.35465758306969936,
      0.3491256715482023,
      0.3436801693871378,
      0.33831965417629895,
      0.33304272109751043,
      0.3278479861453647,
      0.3227340878062641,
      0.3176997127034282,
      0.3127434355235311,
      0.30786380003051184,
      0.30305943602805246,
      0.298329037527617,
      0.29367135799182675,
      0.2890852083683931,
      0.2845694269964192,
      0.2801228737931452,
      0.27574442962314016,
      0.2714329959315534,
      0.2671874944656184,
      0.26300686653891875,
      0.2588900726277148,
      0.25483609198267443,
      0.2508440462286252,
      0.2469134183175638,
      0.24304361621471263,
      0.23923392091355003,
      0.23548353512131553,
      0.23179161531163642,
      0.22815729274850727,
      0.22457968740442824,
      0.22105791714228262,
      0.21759110358337416,
      0.2141783762631264,
      0.21081887463370444,
      0.2075117498057067,
      0.20425612451321526,
      0.2010510624232699,
      0.19789566763640523,
      0.1947890907412075,
      0.19173051741855823,
      0.18871916097288388,
      0.18575425703192291,
      0.18283506033341893,
      0.179960842060148,
      0.17713088832515944,
      0.1743444988865737,
      0.17160098654556094,
      0.1688996763549132,
      0.1662399049474379,
      0.1636210203642995,
      0.16104238166423832,
      0.15850335865033607,
      0.15600333173935277,
      0.1535416913500128,
      0.15111783813226276,
      0.1487311824671764,
      0.14638114445119157,
      0.14406715355769686,
      0.14178864864895532,
      0.1395450777539565,
      0.1373358976308525,
      0.1351605739904888,
      0.13301858109088416,
      0.1309094017004285,
      0.1288325269274132,
      0.12678745608093114,
      0.12477369658194375,
      0.1227907635114569,
      0.12083817979891369,
      0.11891547610414506,
      0.11702219035489875,
      0.11515786807027771,
      0.11332206184961058,
      0.11151433145012032,
      0.10973424360772319,
      0.10798137191856667,
      0.10625529669821353,
      0.10455560488853717,
      0.10288188998634737,
      0.10123375189179046,
      0.09961079679109962,
      0.09801263716196601,
      0.09643889152036608,
      0.09488918427026644,
      0.09336314586618749,
      0.09186041240473791,
      0.0903806257761942,
      0.0889234334924445,
      0.08748848850916392,
      0.08607544933699755,
      0.08468397959642053,
      0.08331374834468754,
      0.08196442973102992,
      0.08063570296290525,
      0.0793272522868605,
      0.07803876681538492,
      0.07676994055560805,
      0.07552047222972459,
      0.07429006525220505,
      0.07307842757756301,
      0.07188527175522963,
      0.07071031472424558,
      0.06955327797098014,
      0.06841388717149473,
      0.06729187219007006,
      0.06618696712140083,
      0.06509891026871399,
      0.06402744382873754,
      0.06297231406507,
      0.061933271146520294,
      0.0609100690221308,
      0.05990246559320792,
      0.05891022243570375,
      0.057933104685553925,
      0.056970881185536226,
      0.05602332433729209,
      0.055090210077795625,
      0.054171317796205536,
      0.05326643012972206,
      0.052375333223482874,
      0.05149781649128132,
      0.050633672522402605,
      0.04978269712126537,
      0.048944689136226266,
      0.04811945067562482,
      0.04730678689030877,
      0.046506505844557275,
      0.045718418445355846,
      0.04494233866567254,
      0.0441780831813864,
      0.04342547153706911,
      0.042684326077362625,
      0.04195447189258235,
      0.041235736765090625,
      0.04052795107184695,
      0.03983094775736916,
      0.039144562316342404,
      0.038468632792639686,
      0.0378029997400086,
      0.03714750611946967,
      0.03650199732677185,
      0.035866321051087974,
      0.035240327460395376,
      0.03462386888125937,
      0.03401679994829499,
      0.03341897756487261,
      0.03283026071067064,
      0.0322505105497641,
      0.03167959048659127,
      0.03111736586181636,
      0.030563703992698494,
      0.030018474437220815,
      0.029481548783580173,
      0.028952800409531756,
      0.02843210468715206,
      0.027919338883871582,
      0.02741438213462251,
      0.026917115490762016,
      0.026427421747778145,
      0.02594518548957421,
      0.025470293088676602,
      0.025002632656221015,
      0.024542093992352014,
      0.024088568606818662,
      0.023641949656931904,
      0.023202131917668907,
      0.022769011687871092,
      0.02234248700145078,
      0.021922457374525597,
      0.021508823898772168,
      0.021101489087998065,
      0.020700357005168975,
      0.020305333228834353,
      0.01991632466145387,
      0.019533239571798828,
      0.01915598769382118,
      0.018784480248322973,
      0.018418629709612538,
      0.0180583499779011,
      0.0177035562838097,
      0.01735416504695226,
      0.017010093930217008,
      0.016671261879574323,
      0.016337589105477668,
      0.016008997056278517,
      0.015685408301387146,
      0.015366746660239673,
      0.015052937189907021,
      0.014743905910381373,
      0.014439579934548455,
      0.01413988765932685,
      0.013844758567735838,
      0.013554123187818425,
      0.013267913017318273,
      0.012986060713145441,
      0.012708499948236132,
      0.012435165348344287,
      0.012165992535055325,
      0.011900918076586635,
      0.011639879665320003,
      0.011382815835217216,
      0.011129666006946813,
      0.01088037047939656,
      0.010634870659732832,
      0.010393108757242949,
      0.010155027900273974,
      0.009920572052902884,
      0.009689685998758222,
      0.009462315385137404,
      0.009238406675429658,
      0.009017907015069899,
      0.008800764488597252,
      0.008586928011518028,
      0.008376347276113801,
      0.008168972757439885,
      0.007964755691158561,
      0.0077636479772594975,
      0.007565602290369497,
      0.007370571938618224,
      0.007178510979415219,
      0.006989374236392251,
      0.006803117217322052,
      0.006619696086055149,
      0.006439067573133445,
      0.0062611891812716525,
      0.006086019043885958,
      0.005913516015500979,
      0.0057436393891586,
      0.005576349245812453,
      0.005411606240131183,
      0.005249371497108509,
      0.00508960678402593,
      0.004932274449193043,
      0.004777337585989444,
      0.004624759671790133,
      0.004474504774284409,
      0.004326537544336645,
      0.0041808231150638805,
      0.004037327206922684,
      0.0038960160440861752,
      0.0037568563806840995,
      0.0036198155040542686,
      0.0034848610998617726,
      0.0033519614180059416,
      0.003221085160646703,
      0.003092201613795936,
      0.002965280304205276,
      0.002840291395191715,
      0.0027172054925200433,
      0.0025959935102546393,
      0.0024766269191585396,
      0.002359077628514425,
      0.00224331807286499,
      0.002129321027627199,
      0.0020170595275092323,
      0.0019065072951965766,
      0.0017976382435528353,
      0.0016904266913692625,
      0.0015848474407721591,
      0.0014808756272957308,
      0.001378486870442984,
      0.0012776570505950624,
      0.001178362360761298,
      0.001080579467537048,
      0.0009842853496021074,
      0.0008894573217460044,
      0.0007960730602911538,
      0.000704110579126288,
      0.0006135482579146898,
      0.0005243647953253677,
      0.00043653918271018607,
      0.00035005069152882994,
      0.0002648790783468818,
      0.0001810041490272934,
      9.840615017161587e-05,
      1.7065748865578774e-05,
      -6.3036138587596e-05,
      -0.00014191838984929861,
      -0.00021959971891071848,
      -0.00029609834862902735,
      -0.00037143231784691913,
      -0.0004456193802147782,
      -0.0005186769151544066,
      -0.0005906221612307144,
      -0.0006614720359323034,
      -0.0007312432273413683,
      -0.0007999521198617377,
      -0.0008676148521426063,
      -0.0009342473612907516,
      -0.0009998653754748298,
      -0.0010644843930211324,
      -0.0011281196097174939,
      -0.0011907859275565075,
      -0.0012524981786061306,
      -0.0013132709223693275,
      -0.0013731184394807066,
      -0.0014320548003423793,
      -0.001490093831459081,
      -0.0015472491313957234,
      -0.0016035341880043217,
      -0.0016589622656689753,
      -0.0017135464385319783,
      -0.0017672995081454159,
      -0.0018202342383268496,
      -0.001872363087020248,
      -0.0019236981662730571,
      -0.0019742516142139534,
      -0.002024035420072719,
      -0.0020730611784717623,
      -0.002121340504123187,
      -0.0021688848101292305,
      -0.0022157052955722963,
      -0.0022618129386018176,
      -0.0023072185904437106,
      -0.0023519328907800445,
      -0.002395966404834824,
      -0.0024393295699404382,
      -0.002482032595935049,
      -0.002524085556120837,
      -0.0025654982489969934,
      -0.002606280338364099,
      -0.0026464414995174775
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566509799256126,
      10.33530021010406,
      10.095493721442251,
      9.850257609464721,
      9.602185411498144,
      9.353555075126886,
      9.106348514350115,
      8.862221596975582,
      8.622488934730269,
      8.388120396974681,
      8.159759747705008,
      7.937760433138665,
      7.7222143370332486,
      7.51299843061452,
      7.309825429191183,
      7.112291890469999,
      6.919919978673395,
      6.732196486636621,
      6.548604832273008,
      6.368646864814831,
      6.191863348580392,
      6.017841960937499,
      5.84622045163974,
      5.676708636186338,
      5.509096189726367,
      5.343249229749431,
      5.179112144486683,
      5.016710037479994,
      4.856130394703443,
      4.6975275512119286,
      4.541128628207836,
      4.387243931941725,
      4.236234578121117,
      4.08848508459236,
      3.944390744709221,
      3.804343923146578,
      3.66872255539667,
      3.5378696473672018,
      3.4120827834997782,
      3.2916075856959894,
      3.176633589386386,
      3.067292497851536,
      2.963650984661043,
      2.8657036038348975,
      2.773367913403914,
      2.6865010574621246,
      2.6049163442436147,
      2.5283824074374315,
      2.456647503209404,
      2.389459286346853,
      2.3265512348553177,
      2.267622197333959,
      2.21234085562358,
      2.1603320294798594,
      2.1112283926025084,
      2.0646837986095785,
      2.020383247232738,
      1.9780462008910276,
      1.937438056970694,
      1.8983638472270443,
      1.8606695261076798,
      1.8242301976100137,
      1.7889398577883744,
      1.7547051971572092,
      1.721449778967319,
      1.6891107810170136,
      1.6576353419000582,
      1.6269779925101588,
      1.5970988417101648,
      1.5679622915178497,
      1.539536118917306,
      1.5117903940071635,
      1.4846952813331877,
      1.4582228685770162,
      1.4323479611173175,
      1.4070480754571362,
      1.3823029268387008,
      1.3580942305677028,
      1.3344047865175224,
      1.3112179035413005,
      1.2885174636583758,
      1.266288841221121,
      1.2445195176992827,
      1.2231970129578982,
      1.2023088563318076,
      1.1818445907781772,
      1.161794719031926,
      1.142149053600202,
      1.122897892899941,
      1.1040319994148473,
      1.0855422347448054,
      1.0674195517203946,
      1.0496547012740332,
      1.032238428982755,
      1.0151615981486672,
      0.9984152657952826,
      0.9819907277539178,
      0.9658795422509664,
      0.9500735410130684,
      0.9345648318403021,
      0.91934579571035,
      0.9044090805368346,
      0.8897475934875684,
      0.8753544915660151,
      0.8612231720780007,
      0.8473472622556435,
      0.8337206099440826,
      0.8203372740453756,
      0.8071915154383239,
      0.7942777880705262,
      0.7815907304687785,
      0.7691251578085655,
      0.7568760541167099,
      0.7448385648618862,
      0.7330079903624772,
      0.7213797789601114,
      0.7099495209394046,
      0.6987129422343992,
      0.687665898970002,
      0.6768043723063856,
      0.6661244631006024,
      0.6556223871952203,
      0.6452944705121173,
      0.6351371452123522,
      0.6251468950691409,
      0.6153202741845809,
      0.6056539593915469,
      0.5961447374881514,
      0.5867894952730367,
      0.5775852118516115,
      0.5685289777210369,
      0.5596179867885667,
      0.550849494974969,
      0.542220819835024,
      0.5337296305932477,
      0.525373842024628,
      0.5171512611133375,
      0.5090596339498269,
      0.5010966866420808,
      0.49326015150028946,
      0.4855477833316858,
      0.47795736945472655,
      0.4704867355698279,
      0.4631337493553616,
      0.45589632191987456,
      0.44877240858248885,
      0.4417600086168065,
      0.4348571647363169,
      0.42806196223153775,
      0.4213726200341098,
      0.4147879736909486,
      0.4083069528523402,
      0.4019282391767836,
      0.3956503681319835,
      0.3894717939488642,
      0.3833909307640608,
      0.3774061788056863,
      0.37151581763624214,
      0.3657178812903269,
      0.36001074434181474,
      0.35439294539900695,
      0.34886302439193617,
      0.34341953258458907,
      0.3380610382353139,
      0.33278613020656056,
      0.3275934204219422,
      0.322481544827681,
      0.31744920093240075,
      0.3124949634341774,
      0.30761737060468547,
      0.3028150483623964,
      0.29808668814374856,
      0.293431043254314,
      0.2888469236555082,
      0.2843331664757569,
      0.27988863055936786,
      0.27551219622414747,
      0.2712027643686426,
      0.26695925636746043,
      0.2627806133326537,
      0.2586657954144811,
      0.25461378183002026,
      0.25062371208000755,
      0.24669507026179838,
      0.2428272571099458,
      0.23901954885518306,
      0.23527114493632245,
      0.23158119963198126,
      0.22794884275660365,
      0.2243731934069423,
      0.22085336875699818,
      0.21738849002426117,
      0.21397768626619248,
      0.2106200967235876,
      0.2073148722926888,
      0.20406113121408406,
      0.20085793684982417,
      0.19770439513192953,
      0.1945996577231803,
      0.19154291091743286,
      0.18853336840083507,
      0.18557026613064107,
      0.18265285899475647,
      0.17978041833745848,
      0.1769522302918509,
      0.17416759478655336,
      0.17142582456830302,
      0.16872624464492716,
      0.166068191650962,
      0.16345101370730866,
      0.16087406987734681,
      0.15833672995044698,
      0.15583837418969135,
      0.1533783931453284,
      0.15095618734953795,
      0.14857116729243955,
      0.146222753101149,
      0.14391037426422199,
      0.14163346958634138,
      0.1393914869907865,
      0.1371838833862026,
      0.13501012445778388,
      0.13286968451602696,
      0.13076204626850957,
      0.1286867009543307,
      0.1266431478551973,
      0.12463089421914708,
      0.12264945529064904,
      0.12069835400337724,
      0.11877712100190735,
      0.11688529426784362,
      0.11502241933507629,
      0.11318804887391234,
      0.11138174263509378,
      0.10960306738476665,
      0.1078515968179651,
      0.10612691125868616,
      0.10442859767479923,
      0.10275624963835128,
      0.10110946701511817,
      0.09948785606319598,
      0.09789102922219158,
      0.09631860506972187,
      0.09477020813934947,
      0.09324546884163436,
      0.09174402344360741,
      0.0902655138326664,
      0.08880958751614494,
      0.08737589755784385,
      0.08596410233956546,
      0.08457386561820246,
      0.08320485655673908,
      0.08185674941194501,
      0.08052922341175853,
      0.07922196279344713,
      0.0779346567256671,
      0.07666699919405759,
      0.07541868904745652,
      0.07418942988643529,
      0.07297892959027351,
      0.07178690079475587,
      0.07061306050583523,
      0.06945713012663372,
      0.06831883544353616,
      0.06719790639256609,
      0.06609407719405261,
      0.06500708615625847,
      0.06393667559261208,
      0.0628825917756954,
      0.06184458495729028,
      0.06082240912553316,
      0.05981582222826803,
      0.058824585854027875,
      0.057848465301983426,
      0.05688722939212716,
      0.055940650730618914,
      0.05500850520364797,
      0.054090572317168545,
      0.05318663485291109,
      0.05229647895098001,
      0.0514198939657713,
      0.050556672652585725,
      0.04970661081964307,
      0.04886950741151961,
      0.04804516457583486,
      0.04723338746842443,
      0.04643398425437335,
      0.045646766044318894,
      0.04487154673350018,
      0.044108143061342406,
      0.04335637480289775,
      0.04261606434481449,
      0.04188703672992486,
      0.04116911967317424,
      0.04046214374702567,
      0.039765941887635166,
      0.039080349739993754,
      0.03840520537110979,
      0.037740349459989206,
      0.037085625144589074,
      0.036440877785880475,
      0.03580595512853094,
      0.0351807072798706,
      0.03456498670425219,
      0.03395864803885212,
      0.033361548293348475,
      0.032773546549357234,
      0.03219450399912727,
      0.031624284167103736,
      0.031062752383264607,
      0.03050977607167102,
      0.029965224945210256,
      0.029428970553803134,
      0.02890088632980137,
      0.028380847735899477,
      0.0278687320771845,
      0.027364418562742587,
      0.026867788214776762,
      0.026378723982465567,
      0.025897110513177987,
      0.02542283430589174,
      0.02495578349605554,
      0.024495847863435435,
      0.02404291898605754,
      0.02359689008314734,
      0.023157656010963028,
      0.02272511318192908,
      0.022299159649004256,
      0.021879694897529948,
      0.02146662008794766,
      0.02105983789131007,
      0.020659252362795862,
      0.020264769055772756,
      0.019876294944528545,
      0.0194937385307327,
      0.019117009669352904,
      0.018746019584737594,
      0.0183806806944742,
      0.018020906921617195,
      0.0176666135798919,
      0.017317717061128796,
      0.016974135048145933,
      0.01663578663761046,
      0.016302592124721627,
      0.015974472983530004,
      0.015651351787929885,
      0.015333152531848583,
      0.015019800159327381,
      0.014711220811203457,
      0.014407341802585877,
      0.014108091573347414,
      0.013813399592034563,
      0.013523196365403303,
      0.013237413535136027,
      0.012955983698735938,
      0.01267884053312909,
      0.012405918770151604,
      0.01213715407400924,
      0.01187248324069436,
      0.011611843822882738,
      0.011355174323878106,
      0.011102414280884888,
      0.010853504237697594,
      0.01060838551784456,
      0.010367000280707415,
      0.010129291727328647,
      0.00989520386460783,
      0.009664681476668355,
      0.00943767033431275,
      0.009214116899510474,
      0.008993968491032876,
      0.008777173229960808,
      0.008563680046443457,
      0.00835343866983295,
      0.008146399641534918,
      0.007942514127369609,
      0.007741733980246225,
      0.007544011958384891,
      0.007349301495527423,
      0.0071575566834699905,
      0.006968732371793879,
      0.006782784181650275,
      0.006599668236117805,
      0.006419341388634461,
      0.0062417611429565435,
      0.006066885689843403,
      0.005894673819322463,
      0.005725084841486541,
      0.00555807887874692,
      0.005393616600940579,
      0.005231659401808335,
      0.005072168980330681,
      0.004915107769337168,
      0.004760438807043017,
      0.004608125636593133,
      0.004458132379020474,
      0.004310423688173256,
      0.004164964656153587,
      0.004021721090170707,
      0.0038806592571642064,
      0.00374174591683395,
      0.0036049483439513836,
      0.003470234365150808,
      0.003337572302769843,
      0.0032069307612393474,
      0.0030782790320145912,
      0.002951586788710146,
      0.002826824165175793,
      0.0027039618603827975,
      0.0025829709346864706,
      0.002463822778961435,
      0.0023464894157880284,
      0.0022309432623421103,
      0.0021171570412774738,
      0.0020051038071350166,
      0.0018947572223545208,
      0.0017860913710136862,
      0.0016790806000358408,
      0.0015736996664962421,
      0.001469923740184893,
      0.00136772845263899,
      0.0012670897441270398,
      0.0011679838646028314,
      0.0010703874332384715,
      0.0009742774673820274,
      0.0008796312986431023,
      0.0007864267448367584,
      0.0006946418192917237,
      0.000604254841776864,
      0.0005152445378374383,
      0.0004275899742685408,
      0.0003412704707148211,
      0.00025626570292658807,
      0.00017255557826743623,
      9.01204688743307e-05,
      8.940949834626308e-06,
      -7.100213702109732e-05,
      -0.0001497275676166209,
      -0.00022725391088990497,
      -0.0003035994045723413,
      -0.00037878212252142164,
      -0.0004528197461785491,
      -0.0005257296979418454,
      -0.000597529158563258,
      -0.000668235071195754,
      -0.0007378641120510893,
      -0.0008064326481492225,
      -0.0008739568078581558,
      -0.0009404524676394795,
      -0.001005935314579661,
      -0.0010704207426102395,
      -0.0011339238810169983,
      -0.0011964598192318312,
      -0.0012580433545500197,
      -0.0013186889737241763,
      -0.0013784109735672,
      -0.0014372232752137572,
      -0.0014951398224098472,
      -0.001552174279932908,
      -0.0016083399790472054,
      -0.0016636502691084322,
      -0.001718118105278636,
      -0.0017717563222630045,
      -0.001824577620947233,
      -0.0018765943891833662,
      -0.001927818833344332,
      -0.0019782630325455115,
      -0.002027938928755287,
      -0.002076858259134409,
      -0.0021250325322655288,
      -0.0021724730987155755,
      -0.002219190966504629,
      -0.0022651972643548536,
      -0.002310502929106922,
      -0.002355118513117756,
      -0.0023990545378218438,
      -0.0024423213885746147,
      -0.0024849292913079885,
      -0.002526888219360293,
      -0.0025682081364205808,
      -0.002608898628199523,
      -0.002648969334851326
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566507738607525,
      10.335290948587831,
      10.095471848927748,
      9.850217946836874,
      9.602124253988027,
      9.353469929563843,
      9.106237864814629,
      8.862084664476368,
      8.62232547055583,
      8.387930831603523,
      8.15954481489307,
      7.937520740179021,
      7.721950126586489,
      7.512709924780903,
      7.3095127906804285,
      7.1119552121685805,
      6.919559372775019,
      6.731812148858213,
      6.5481969910206255,
      6.368215850499831,
      6.19140958677496,
      6.017366116512436,
      5.845723420915536,
      5.676191498991117,
      5.508560275226206,
      5.342696112289865,
      5.178543647272195,
      5.0161281711796715,
      4.855537350100606,
      4.696925854271069,
      4.540521327551773,
      4.386634670470593,
      4.235626971752749,
      4.0878827165633345,
      3.943797102530705,
      3.8037624767684135,
      3.668156579342836,
      3.537322075389736,
      3.4115561654059174,
      3.291104057555434,
      3.176154857567307,
      3.0668398360846068,
      2.963225109912942,
      2.8653046744803414,
      2.7729954917106245,
      2.6861541683853845,
      2.6045933613090635,
      2.528081425841231,
      2.456366529015694,
      2.389196226329782,
      2.3263038301340626,
      2.2673880969419824,
      2.2121175338757975,
      2.1601167561582595,
      2.1110187156206393,
      2.0644775320131825,
      2.020178417753561,
      1.977841202751565,
      1.9372316782715582,
      1.8981552038438194,
      1.8604579857920664,
      1.82401531119938,
      1.7887212816045797,
      1.7544826951646906,
      1.7212232131664402,
      1.6888800825317078,
      1.6574004915165363,
      1.626739005168486,
      1.59685575650377,
      1.567715163454883,
      1.5392850140306307,
      1.511535392243108,
      1.4844364761343998,
      1.457960349985655,
      1.4320818247644385,
      1.4067784343494025,
      1.3820298935958173,
      1.3578179202619558,
      1.3341253014505694,
      1.3109353368766685,
      1.2882319018621269,
      1.2660005130329262,
      1.244228660719473,
      1.2229038077225485,
      1.202013551975096,
      1.1815475598778198,
      1.1614962233815256,
      1.1418492822898734,
      1.1225970072895781,
      1.1037301357671456,
      1.0852395075091237,
      1.0671160504305677,
      1.0493504987090219,
      1.0319335869598878,
      1.014856171517192,
      0.9981093041765021,
      0.9816842772172921,
      0.9655726461139877,
      0.949766240732193,
      0.9342571674859275,
      0.9190378062796821,
      0.9041008043603945,
      0.8894390682210613,
      0.8750457543265522,
      0.8609142589620067,
      0.8470382091199063,
      0.8334114523652989,
      0.8200280469669528,
      0.806882253267278,
      0.7939685247656603,
      0.7812814996724261,
      0.768815992665455,
      0.7565669868811882,
      0.7445296273102828,
      0.7326992140194256,
      0.7210711948346662,
      0.7096411593291215,
      0.6984048328264048,
      0.6873580712139336,
      0.6764968549915713,
      0.6658172845104439,
      0.6553155751011204,
      0.6449880524655083,
      0.6348311481681553,
      0.624841344137012,
      0.6150151936075374,
      0.6053493735153834,
      0.5958406707339817,
      0.586485971748077,
      0.5772822576496848,
      0.5682266277809641,
      0.5593162738367451,
      0.550548447746593,
      0.5419204931670758,
      0.533430145430514,
      0.5250752936381005,
      0.5168537161833432,
      0.5087631403841347,
      0.5008012799945482,
      0.4929658590033114,
      0.485254626598653,
      0.47766536634483064,
      0.4701959015770677,
      0.46284409817117683,
      0.455607865883256,
      0.44848515904461844,
      0.44147397609435024,
      0.43457235915946385,
      0.42777839308383814,
      0.42109034470506945,
      0.4145071146095889,
      0.40802758884654106,
      0.4016504212301459,
      0.3953741293253228,
      0.3891971555438242,
      0.3831179062063228,
      0.37713477634805337,
      0.3712460955162525,
      0.36544995093256916,
      0.3597447008968911,
      0.35412884846975656,
      0.3486009106636287,
      0.3431594234283488,
      0.3378029451798402,
      0.33253005845022143,
      0.3273393708045547,
      0.3222295152620148,
      0.31719920013606345,
      0.3122469999803648,
      0.30737144720192877,
      0.3025711641347799,
      0.29784483968698144,
      0.29319122710415,
      0.2886091353191057,
      0.2840973999789269,
      0.2796548790289012,
      0.2752804521210139,
      0.2709730197676199,
      0.26673150285159597,
      0.2625548421383122,
      0.2584419977133667,
      0.2543919485510188,
      0.25040385217404715,
      0.24647719364040532,
      0.2426113665995394,
      0.2388056423971431,
      0.23505921743709365,
      0.23137124382023713,
      0.22774084992944924,
      0.22416715374890347,
      0.22064927179397148,
      0.2171863248442657,
      0.21377744162285697,
      0.21042176121340325,
      0.20711843432722846,
      0.20386657481744036,
      0.2006652455931235,
      0.1975135541428057,
      0.19441065319469017,
      0.19135572990022764,
      0.1883479983686737,
      0.18538669482627915,
      0.1824710742887948,
      0.17960040822693818,
      0.1767739828220886,
      0.1739910981504763,
      0.1712510669066598,
      0.16855321406818335,
      0.16589687643223822,
      0.16328140209982958,
      0.1607061500205675,
      0.15817048990839983,
      0.1556738021156929,
      0.15321547725582596,
      0.15079491582122265,
      0.14841152830502458,
      0.14606473477768322,
      0.14375396478284339,
      0.1414786571322947,
      0.13923825975921766,
      0.13703222959731223,
      0.1348600323015617,
      0.1327211421852932,
      0.13061504208121436,
      0.1285412230940162,
      0.12649918451117564,
      0.124488433637433,
      0.12250848574861367,
      0.12055886384128296,
      0.11863909861623802,
      0.11674872821915452,
      0.11488729796621946,
      0.1130543605697662,
      0.1112494759231487,
      0.10947221069895195,
      0.10772213851600286,
      0.10599883972839656,
      0.10430190152914823,
      0.10263091740211377,
      0.10098548733938349,
      0.09936521771085986,
      0.09776972092658073,
      0.09619861559004128,
      0.09465152623982655,
      0.09312808341047002,
      0.09162792335772182,
      0.09015068795584319,
      0.08869602472876814,
      0.08726358683756419,
      0.08585303281339389,
      0.08446402651646566,
      0.08309623697354966,
      0.08174933853567438,
      0.08042301055532358,
      0.07911693727529498,
      0.07783080793853803,
      0.07656431671536724,
      0.07531716235574824,
      0.07408904832865902,
      0.07287968274601726,
      0.07168877826245644,
      0.07051605195927015,
      0.06936122530822626,
      0.06822402416718154,
      0.06710417858486273,
      0.06600142267822207,
      0.06491549489066517,
      0.06384613761361393,
      0.06279309721744662,
      0.061756123928294056,
      0.06073497197988992,
      0.05972939927771073,
      0.05873916744568206,
      0.057764041864299016,
      0.056803791522585745,
      0.05585818885767505,
      0.05492700991616339,
      0.054010034102280315,
      0.05310704434617169,
      0.052217826903562185,
      0.05134217120599726,
      0.050479870025207,
      0.0496307192843073,
      0.048794518087577246,
      0.047971068568194185,
      0.04716017595745675,
      0.04636164848116674,
      0.04557529724498794,
      0.04480093616902123,
      0.0440383821461351,
      0.043287454973031804,
      0.04254797700908599,
      0.04181977345291098,
      0.0411026722347993,
      0.04039650396134385,
      0.03970110166019421,
      0.03901630089015287,
      0.038341939858093005,
      0.03767785924994742,
      0.03702390215387162,
      0.03637991408518471,
      0.03574574289606657,
      0.03512123882513283,
      0.03450625431736463,
      0.03390064416414079,
      0.03330426532489142,
      0.032716976938427456,
      0.03213864025002242,
      0.0315691188207746,
      0.03100827811561896,
      0.03045598568412801,
      0.0299121112093614,
      0.02937652629141482,
      0.028849104442025673,
      0.02832972114387351,
      0.027818253840939076,
      0.027314581834691046,
      0.026818586302230007,
      0.02633015008614872,
      0.025849157878942167,
      0.025375496230008072,
      0.02490905324175539,
      0.02444971891455807,
      0.023997384811669686,
      0.02355194432843947,
      0.02311329227506486,
      0.02268132519007173,
      0.022255941177224955,
      0.021837039875517744,
      0.02142452234311482,
      0.021018291259974044,
      0.020618250724789157,
      0.02022430636772338,
      0.019836365318036286,
      0.01945433608836166,
      0.019078128540916298,
      0.018707653973377227,
      0.01834282486015007,
      0.01798355527968006,
      0.017629760437267477,
      0.0172813569567577,
      0.016938262629820913,
      0.016600396552047637,
      0.016267678939241408,
      0.015940031393740468,
      0.015617376597098087,
      0.01529963845232366,
      0.014986742059070721,
      0.014678613630093712,
      0.014375180481630593,
      0.014076370945681685,
      0.013782114680903014,
      0.013492342231012595,
      0.013206985280827505,
      0.012925976521647786,
      0.012649249718123248,
      0.012376739633175203,
      0.012108381880189104,
      0.011844113249410112,
      0.011583871351679566,
      0.011327594914760316,
      0.011075223440976155,
      0.010826697548931305,
      0.010581958555962178,
      0.010340948750722225,
      0.010103611344693958,
      0.009869890344874534,
      0.009639730671351307,
      0.009413078106533631,
      0.009189879088703402,
      0.008970081030004812,
      0.008753632110098091,
      0.008540481301850741,
      0.008330578310861887,
      0.008123873645622535,
      0.007920318563200872,
      0.007719865074914343,
      0.0075224659044750425,
      0.007328074576157631,
      0.007136645257723017,
      0.006948132745951945,
      0.0067624926201837535,
      0.006579681118618702,
      0.006399655113092138,
      0.006222372098787606,
      0.006047790288249487,
      0.0058758686255561896,
      0.005706566478715137,
      0.005539844033872281,
      0.0053756619796402425,
      0.005213981543996135,
      0.005054764564720884,
      0.004897973593902308,
      0.004743571661944169,
      0.004591522323357091,
      0.004441789640903553,
      0.0042943384517652216,
      0.004149133974868445,
      0.004006142024205631,
      0.0038653289003868245,
      0.00372666121999951,
      0.003590106312523929,
      0.003455632187583817,
      0.003323207097687925,
      0.0031927996934970697,
      0.003064379225136635,
      0.0029379155616721703,
      0.002813378805589533,
      0.0026907395947505406,
      0.0025699690512280223,
      0.0024510386485606717,
      0.002333920380090633,
      0.0022185866105753987,
      0.002105010126659593,
      0.0019931642847416434,
      0.0018830225754113466,
      0.0017745590920862958,
      0.001667748244579331,
      0.001562564894218955,
      0.0014589841595830776,
      0.0013569816624979456,
      0.0012565333622329927,
      0.0011576155565418565,
      0.0010602049286257268,
      0.0009642784174153338,
      0.0008698135785983733,
      0.0007767881912716735,
      0.0006851802025139904,
      0.0005949679270452344,
      0.0005061301401185434,
      0.00041864601343625385,
      0.00033249485509027416,
      0.00024765639103334455,
      0.00016411064735572932,
      8.183789082505003e-05,
      8.186660169099487e-07,
      -7.896612851911545e-05,
      -0.0001575352196190322,
      -0.00023490716046660075,
      -0.00031110020600503077,
      -0.00038613227033550335,
      -0.0004600210987546992,
      -0.0005327840765297727,
      -0.000604438379959666,
      -0.0006750008782967339,
      -0.000744488212894435,
      -0.0008129167541022592,
      -0.0008803027166646607,
      -0.0009466619752419534,
      -0.0010120101203624939,
      -0.001076362545015412,
      -0.0011397344861815918,
      -0.0012021409062471533,
      -0.0012635964629561839,
      -0.0013241155667779077,
      -0.0013837125839804797,
      -0.00144240152385874,
      -0.0015001962529304755,
      -0.0015571103902230665,
      -0.001613157265537332,
      -0.0016683501750758185,
      -0.0017227021729882778,
      -0.0017762260462110132,
      -0.0018289343393404055,
      -0.0018808394864865171,
      -0.001931953764615524,
      -0.0019822892847031577,
      -0.0020318578100968153,
      -0.0020806710445000183,
      -0.002128740493373785,
      -0.0021760774901692314,
      -0.0022226931579842385,
      -0.002268598593245052,
      -0.002313804565692921,
      -0.0023583217070408027,
      -0.0024021606229262015,
      -0.0024453316419091554,
      -0.0024878448807896174,
      -0.0025297103102479733,
      -0.002570937851274322,
      -0.0026115372422234424,
      -0.0026515180263031748
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566505682434837,
      10.335281708830173,
      10.09545002847001,
      9.850178375810826,
      9.602063231679553,
      9.353384965490447,
      9.106127443289441,
      8.861948006029714,
      8.62216232527957,
      8.387741631581461,
      8.159330293547606,
      7.937281431634633,
      7.72168628400979,
      7.512421778123642,
      7.30920051143645,
      7.111618901104991,
      6.919199148836407,
      6.731428214743706,
      6.547789579695003,
      6.367785296858074,
      6.1909563207727185,
      6.016890797501025,
      5.845226941897194,
      5.675674943890761,
      5.508024977662805,
      5.342143650238936,
      5.177975844736223,
      5.01554703929369,
      4.854945078919307,
      4.696324969106595,
      4.5399148757441345,
      4.386026291292293,
      4.235020277624031,
      4.087281286801852,
      3.9432044194787244,
      3.803182005195226,
      3.6675915872023475,
      3.5367754898689125,
      3.4110305300483916,
      3.2906015025709165,
      3.175677083670521,
      3.0663881123725067,
      2.962800148916477,
      2.8649066305698856,
      2.772623924815206,
      2.6858081032400496,
      2.604271171534586,
      2.527781206904427,
      2.4560862877374205,
      2.3889338505942628,
      2.326057065496408,
      2.2671545975300518,
      2.2118947797376087,
      2.15990202278766,
      2.1108095563431073,
      2.064271766514579,
      2.019974076962813,
      1.9776366846647435,
      1.937025775838685,
      1.8979470366158404,
      1.8602469243693076,
      1.8238009087150011,
      1.7885031952046722,
      1.754260690249777,
      1.7209971527158727,
      1.6886498986994005,
      1.657166164745708,
      1.626500549802989,
      1.5966132105342101,
      1.56746858124699,
      1.539034461130444,
      1.5112809482149887,
      1.4841782350594268,
      1.4576984022425574,
      1.4318162699864745,
      1.4065093867032596,
      1.3817574636134184,
      1.3575422222576143,
      1.3338464366191851,
      1.3106533975869987,
      1.287946973995267,
      1.2657128242403077,
      1.2439384485352247,
      1.2226112522650012,
      1.2017189015070726,
      1.1812511852943652,
      1.161198386066026,
      1.141550171379391,
      1.122296784291288,
      1.1034289364285148,
      1.0849374455070282,
      1.066813215538658,
      1.049046964245393,
      1.0316294150213745,
      1.014551416514792,
      0.9978040157948984,
      0.981378501326906,
      0.9652664260276301,
      0.9494596179934899,
      0.9339501823433223,
      0.9187304978976552,
      0.9037932110220195,
      0.8891312276239223,
      0.8747377033626285,
      0.8606060340993646,
      0.8467298461661585,
      0.8331029862736513,
      0.8197195127531859,
      0.8065736855968495,
      0.7936599576354977,
      0.7809729661092978,
      0.7685075252549414,
      0.7562586181357038,
      0.7442213893185909,
      0.7323911380626623,
      0.7207633116805228,
      0.709333499060251,
      0.6980974254238755,
      0.6870509461159316,
      0.6761900412046619,
      0.665510810356977,
      0.6550094683144565,
      0.6446823402777269,
      0.634525857034327,
      0.6245364988397462,
      0.6147108187942528,
      0.6050454935239485,
      0.5955373096912725,
      0.5861831537903116,
      0.5769800119433478,
      0.5679249906103362,
      0.5590152760999417,
      0.5502481167315344,
      0.5416208977455566,
      0.533131412996201,
      0.5247775115508372,
      0.5165569458433884,
      0.5084674262950313,
      0.5005066553303181,
      0.49267234950546324,
      0.4849622530697281,
      0.4773741461790853,
      0.46990584976624117,
      0.4625552279917717,
      0.4553201895741926,
      0.4481986878910847,
      0.44118872063129105,
      0.4342883292920577,
      0.42749559832912193,
      0.42080884300184596,
      0.414227027850765,
      0.40774899540675497,
      0.4013733718735174,
      0.39509865668770316,
      0.3889232805200691,
      0.382845642027667,
      0.376864131484328,
      0.3709771166870964,
      0.3651827541409031,
      0.3594793838056718,
      0.35386547259152273,
      0.34833951353888465,
      0.3429000272756049,
      0.33754556197549124,
      0.3322746935055535,
      0.3270860249540102,
      0.3219781863834817,
      0.3169498968442201,
      0.3119997309690649,
      0.3071262155374551,
      0.30232796888828684,
      0.2976036774349778,
      0.29295209440976877,
      0.28837202772500475,
      0.28386231159275077,
      0.27942180300387837,
      0.2750493808126557,
      0.2707439449492149,
      0.26650441607831526,
      0.2623297347518776,
      0.2582188609333036,
      0.2541707733982347,
      0.2501846473927231,
      0.24625996910627318,
      0.24239612501906965,
      0.23859238196566646,
      0.2348479329639975,
      0.2311619279547988,
      0.22753349384288332,
      0.2239617475929578,
      0.22044580514161458,
      0.21698478677058383,
      0.21357782083395527,
      0.21022404617256027,
      0.20692261337882892,
      0.20367263198415275,
      0.20047316458690204,
      0.19732332019631965,
      0.19422225259637246,
      0.19116914957019038,
      0.1881632257416503,
      0.18520371769741428,
      0.18228988059630022,
      0.17942098605072804,
      0.17659632043303736,
      0.1738151837417342,
      0.17107688864814613,
      0.1683807601476702,
      0.1657261350323747,
      0.16311236128522863,
      0.1605387979544175,
      0.15800481489733106,
      0.15550979240665255,
      0.15305312099094154,
      0.15063420122729118,
      0.14825244353902473,
      0.14590726793078915,
      0.14359810398535064,
      0.1413243905821219,
      0.13908557557824913,
      0.1368811159860941,
      0.13471047749667936,
      0.13257313442926597,
      0.13046856963637815,
      0.12839627419891075,
      0.12635574747043596,
      0.12434649684113903,
      0.12236803749466751,
      0.1204198924497615,
      0.11850159232720114,
      0.11661267525531394,
      0.11475268670329422,
      0.1129211794782909,
      0.11111771338936967,
      0.10934185523337311,
      0.10759317863121547,
      0.10587126406486662,
      0.10417569859320712,
      0.10250607586321765,
      0.10086199586308028,
      0.09924306489996794,
      0.09764889553531285,
      0.09607910638868038,
      0.09453332210212728,
      0.09301117310848743,
      0.091512295674158,
      0.09003633182803274,
      0.08858292922168427,
      0.08715174096405266,
      0.08574242564085231,
      0.08435464718098173,
      0.08298807477377566,
      0.0816423825754899,
      0.08031724997422766,
      0.07901236136426494,
      0.07772740610364093,
      0.07646207833680868,
      0.07521607689802154,
      0.07398910533310006,
      0.07278087181110564,
      0.0715910890971614,
      0.07041947431283292,
      0.06926574894130494,
      0.0681296389375317,
      0.06701087444098079,
      0.0659091896948331,
      0.06482432297984768,
      0.06375601675410504,
      0.06270401742628122,
      0.06166807530249326,
      0.06064794460481223,
      0.05964338347246141,
      0.05865415360232451,
      0.05768002038591442,
      0.05672075289480828,
      0.05577612358063703,
      0.05484590859860928,
      0.053929887533913916,
      0.05302784328745101,
      0.05213956212038052,
      0.05126483357727981,
      0.050403450543136566,
      0.04955520900057687,
      0.04871990796454268,
      0.047897349638201754,
      0.04708733943465364,
      0.04628968553351549,
      0.04550419912897177,
      0.04473069430082584,
      0.04396898801132388,
      0.043218900033218634,
      0.04248025287258267,
      0.04175287178497809,
      0.04103658463959067,
      0.0403312220416733,
      0.03963661718535462,
      0.03895260578331215,
      0.03827902605353106,
      0.03761571869667789,
      0.03696252690549258,
      0.03631929623699269,
      0.03568587461187173,
      0.03506211227813658,
      0.034447861809236806,
      0.03384297806642747,
      0.03324731812579368,
      0.03266074114984003,
      0.03208310855033658,
      0.031514283720874336,
      0.030954132311565418,
      0.030402521984063204,
      0.029859322403810402,
      0.029324405195182857,
      0.028797643955252444,
      0.028278914307011824,
      0.027768093680261233,
      0.027265061475263416,
      0.026769698813810174,
      0.026281888634204328,
      0.02580151574254437,
      0.025328466699194696,
      0.02486262983320443,
      0.02440389501540105,
      0.023952153984503934,
      0.023507300165195002,
      0.02306922838469911,
      0.02263783528190729,
      0.02221301898531657,
      0.021794679166095923,
      0.021382717084102276,
      0.020977035411277607,
      0.020577538378609674,
      0.020184131655472788,
      0.019796722311032338,
      0.01941521888920501,
      0.01903953127938428,
      0.01866957085339588,
      0.018305250372683803,
      0.017946483773688994,
      0.017593186314290653,
      0.017245274597855548,
      0.016902666545422426,
      0.016565281213939135,
      0.01623303900088171,
      0.01590586144658483,
      0.015583671359312566,
      0.01526639278626867,
      0.014953950843170359,
      0.014646271687641451,
      0.014343282726002412,
      0.014044912443286465,
      0.013751090510750984,
      0.013461747573596179,
      0.013176815265612114,
      0.01289622631619951,
      0.01261991454107396,
      0.012347814665401512,
      0.012079862481238024,
      0.011815994831227077,
      0.011556149443323567,
      0.011300264979349823,
      0.01104828115713725,
      0.010800138386524945,
      0.010555778076542822,
      0.010315142583606794,
      0.010078175106283572,
      0.00984481978046726,
      0.009615021555745966,
      0.009388726252942035,
      0.009165880370395105,
      0.00894643138342532,
      0.008730327429699938,
      0.008517517462125743,
      0.008307951315729615,
      0.008101579599880577,
      0.007898353638122994,
      0.00769822543601615,
      0.00750114785568464,
      0.007307074335182232,
      0.007115959093984716,
      0.00692775701679876,
      0.006742423680164111,
      0.006559915381748402,
      0.006380188994031397,
      0.006203202164356997,
      0.006028913186511095,
      0.005857280888227486,
      0.005688264685719649,
      0.0055218247235142605,
      0.005357921806982848,
      0.005196517229350505,
      0.005037572931748091,
      0.004881051353547635,
      0.004726915514121692,
      0.004575129122044146,
      0.004425656375435633,
      0.00427846194864103,
      0.004133511235314098,
      0.003990769964355845,
      0.0038502044726912224,
      0.0037117815921351178,
      0.0035754686271925584,
      0.0034412334877769093,
      0.003309044493132291,
      0.0031788704192314905,
      0.003050680503541687,
      0.002924444489485311,
      0.002800132628767847,
      0.0026777155515260364,
      0.002557164463147875,
      0.0024384509227698,
      0.0023215468908289907,
      0.0022064247652435467,
      0.002093057438484363,
      0.001981418095633734,
      0.001871480497429487,
      0.0017632187052137095,
      0.0016566070682602987,
      0.0015516205048418307,
      0.0014482341936106265,
      0.0013464236928142667,
      0.0012461650920655748,
      0.0011474347214267835,
      0.0010502093193442514,
      0.0009544658267284155,
      0.0008601816655036876,
      0.000767334719772378,
      0.0006759030201286749,
      0.0005858649181562293,
      0.0004971992750838757,
      0.000409885054171419,
      0.00032390173438561436,
      0.00023922909629233683,
      0.00015584707911848311,
      7.373599450389537e-05,
      -7.123588979582641e-06,
      -8.675071844944307e-05,
      -0.0001651640869397561,
      -0.00024238227240686212,
      -0.00031842346062964865,
      -0.00039330551010351367,
      -0.00046704609237420083,
      -0.0005396627295735689,
      -0.000611172443219206,
      -0.0006815921328962543,
      -0.0007509383689932766,
      -0.0008192275659029315,
      -0.0008864759193394447,
      -0.0009526992980185716,
      -0.0010179132615122776,
      -0.0010821331531589025,
      -0.0011453740902412583,
      -0.0012076510870997852,
      -0.0012689788530765387,
      -0.0013293717867563064,
      -0.00138884420428988,
      -0.0014474101601849158,
      -0.0015050834070004055,
      -0.0015618775448736375,
      -0.001617805941300804,
      -0.0016728818217802653,
      -0.0017271181944472083,
      -0.001780527894874445,
      -0.001833123585605607,
      -0.0018849175384210032,
      -0.0019359220264548696,
      -0.001986149028544948,
      -0.0020356104290698614,
      -0.0020843179055637685,
      -0.002132282929879024,
      -0.0021795168388935773,
      -0.002226030783517397,
      -0.0022718357789001855,
      -0.0023169425248978194,
      -0.002361361715401042,
      -0.0024051038638174603,
      -0.0024481793064448196,
      -0.00249059815379343,
      -0.0025323703431531655,
      -0.0025735058492680585,
      -0.0026140143736413006,
      -0.0026539054589607616
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566503633484642,
      10.335272500997268,
      10.095428274677369,
      9.850138912492358,
      9.602002364957423,
      9.35330021133968,
      9.1060172926783,
      8.861811683684229,
      8.621999583554441,
      8.387552900812398,
      8.15911630687382,
      7.937042621240593,
      7.721422920931477,
      7.512134106784455,
      7.308888713948319,
      7.111283086770847,
      6.91883944491748,
      6.731044831307325,
      6.547382753972001,
      6.367355366017291,
      6.190503719990792,
      6.0164161917499195,
      5.844731228276675,
      5.675159208634186,
      5.507490555430817,
      5.341592118522338,
      5.177409027947953,
      5.014966948015343,
      4.854353903031594,
      4.695725231304872,
      4.53930961900529,
      4.385419151020944,
      4.234414860050028,
      4.08668116422021,
      3.9426130679063394,
      3.802602881675616,
      3.667027951655135,
      3.536230262463191,
      3.4105062479373713,
      3.2901002896190743,
      3.1752006345242054,
      3.0659376891436194,
      2.962376458792057,
      2.8645098246226217,
      2.7722535605772283,
      2.6854632026335166,
      2.6039501065178343,
      2.52748207321763,
      2.4558070928913307,
      2.3886724840839726,
      2.3258112753196976,
      2.2669220401559937,
      2.211672937796028,
      2.159688175412327,
      2.1106012613057707,
      2.064066848519845,
      2.0197705705451345,
      1.97743299095508,
      1.9368206906287087,
      1.8977396825013282,
      1.860036674044968,
      1.8235873164509189,
      1.7882859191095282,
      1.7540394949065932,
      1.7207719003856765,
      1.6884205212707015,
      1.6569326429483597,
      1.6262628990709358,
      1.596371469782451,
      1.5672228055467714,
      1.5387847163598694,
      1.5110273197953636,
      1.4839208190438657,
      1.4574372865376577,
      1.4315515525978877,
      1.4062411802502528,
      1.381485877769419,
      1.3572673705550449,
      1.3335684205633853,
      1.3103723093713673,
      1.2876628995505388,
      1.2654259913388015,
      1.2436490943936331,
      1.2223195566007352,
      1.2014251129105629,
      1.1809556753096984,
      1.1609014160295643,
      1.1412519300916313,
      1.1219974328861941,
      1.103128610445425,
      1.0846362586797964,
      1.06651125719927,
      1.0487443077870586,
      1.0313261225723607,
      1.0142475423702584,
      0.9974996090701495,
      0.9810736076812933,
      0.9649610886138972,
      0.9491538780922314,
      0.9336440801402461,
      0.9184240727952562,
      0.9034865010782507,
      0.8888242703555791,
      0.8744305356248844,
      0.8602986923647907,
      0.8464223662868208,
      0.8327954039484039,
      0.8194118629185523,
      0.8062660025219898,
      0.7933522750086262,
      0.7806653173962321,
      0.7681999432866818,
      0.7559511352988202,
      0.7439140374319846,
      0.7320839484754661,
      0.7204563151077936,
      0.7090267260209702,
      0.6977909056543464,
      0.6867447089165627,
      0.6758841153203985,
      0.6652052240791961,
      0.6547042495504531,
      0.644377516154665,
      0.6342214533682277,
      0.6242325402807264,
      0.6144073299803616,
      0.6047424993896275,
      0.5952348347026685,
      0.5858812220134064,
      0.5766786545580926,
      0.5676242429645245,
      0.5587151687399912,
      0.5499486768963453,
      0.5413222013305086,
      0.532833584587979,
      0.5244806365286026,
      0.5162610843938794,
      0.5081726219612875,
      0.500212940880995,
      0.4923797503972999,
      0.48467078991438806,
      0.4770838362470028,
      0.4696167078390052,
      0.4622672673033013,
      0.4550334221307746,
      0.4479131248086101,
      0.44090437249070324,
      0.43400520600498854,
      0.4272137092262856,
      0.42052828926956926,
      0.4139479146927762,
      0.40747139101404806,
      0.40109732017639094,
      0.3948241860759871,
      0.38865040929896727,
      0.3825743817735001,
      0.3765944893805062,
      0.3707091255859489,
      0.36491653323069584,
      0.35921503384266174,
      0.3536030569930581,
      0.3480790714429687,
      0.34264158167464587,
      0.3372891254602295,
      0.33202027170401865,
      0.32683361893703355,
      0.32172780030193227,
      0.31670154222390484,
      0.3117534136195738,
      0.30688193637198996,
      0.3020857257644435,
      0.2973634660781864,
      0.29271391071274494,
      0.28813586672549385,
      0.2836281670567384,
      0.27918966766283654,
      0.2748192470021731,
      0.270515804582375,
      0.26627826079361344,
      0.2621055558671313,
      0.2579966495496081,
      0.25395052043727967,
      0.24996636168352848,
      0.24604366039900788,
      0.24218179602739912,
      0.23838003060461604,
      0.23463755395758226,
      0.23095351387052784,
      0.22732703583662248,
      0.2237572358675993,
      0.2202432292094699,
      0.2167841356996246,
      0.2133790834017622,
      0.2100272109926155,
      0.20672766887227323,
      0.20347956211364285,
      0.20028195301957388,
      0.1971339521988427,
      0.19403471440440928,
      0.19098342819334146,
      0.18797930870642765,
      0.18502159271507587,
      0.1821095355742678,
      0.17924240900185978,
      0.17641949948645733,
      0.17364010703874883,
      0.1709035443838433,
      0.16820913652937927,
      0.16555622015459523,
      0.16294414331533302,
      0.1603722650826408,
      0.15783995526081737,
      0.15534659419712224,
      0.1528915724284076,
      0.15047429055876843,
      0.14809415897342476,
      0.14575059771932958,
      0.1434430363108366,
      0.1411709136065417,
      0.13893367752152957,
      0.13673078504573774,
      0.13456170184319619,
      0.13242590219489184,
      0.13032286904305052,
      0.1282520934828189,
      0.12621307483787114,
      0.12420532062763597,
      0.12222834605074392,
      0.12028167407084296,
      0.11836483538680152,
      0.11647736818529685,
      0.11461881794885974,
      0.11278873740166186,
      0.11098668644675969,
      0.10921223189714767,
      0.10746494750944283,
      0.10574441374764319,
      0.10405021768947607,
      0.10238195294187427,
      0.1007392196546997,
      0.0991216240980208,
      0.09752877897268246,
      0.09596030281359774,
      0.0944158202016554,
      0.09289496166519949,
      0.09139736367228858,
      0.08992266826745762,
      0.08847052312916567,
      0.08704058140437948,
      0.08563250174381076,
      0.08424594805404977,
      0.08288058961505106,
      0.08153610066915126,
      0.08021216065104984,
      0.07890845401324409,
      0.07762467007242727,
      0.07636050292726873,
      0.0751156515968497,
      0.07388981973466005,
      0.07268271552143302,
      0.07149405173643496,
      0.07032354565794953,
      0.06917091882393121,
      0.06803589707874928,
      0.06691821062583404,
      0.06581759387059405,
      0.06473378516405305,
      0.06366652706684092,
      0.06261556604957219,
      0.06158065251320987,
      0.060561540718747496,
      0.059557988734450305,
      0.05856975835273129,
      0.05759661499203186,
      0.05663832778731289,
      0.055694669382573864,
      0.054765415917742276,
      0.053850346952349935,
      0.052949245548297046,
      0.05206189804766062,
      0.051188094091851155,
      0.05032762645269253,
      0.04948029129535354,
      0.04864588779534149,
      0.04782421825696263,
      0.04701508794127685,
      0.04621830522980416,
      0.045433681300483926,
      0.04466103032012506,
      0.04390016927288195,
      0.043150918018756375,
      0.042413099159622394,
      0.04168653791236806,
      0.04097106233245936,
      0.040266502988641366,
      0.03957269311455752,
      0.03888946857011161,
      0.0382166677049815,
      0.0375541312316313,
      0.03690170233950899,
      0.036259226729493735,
      0.035626552438834266,
      0.03500352972248751,
      0.03439001130912099,
      0.03378585197592721,
      0.033190908786898274,
      0.03260504109804111,
      0.03202811035846213,
      0.03145998008466544,
      0.03090051593840701,
      0.030349585532972335,
      0.029807058628465034,
      0.029272807004814286,
      0.028746704406055125,
      0.02822862647321196,
      0.02771845061461705,
      0.02721605616913601,
      0.026721324443245938,
      0.026234138565315836,
      0.025754383314592417,
      0.025281945262330782,
      0.024816712792534407,
      0.024358575881353903,
      0.02390742630316676,
      0.023463157492997922,
      0.023025664435023283,
      0.022594843785978667,
      0.02217059370597924,
      0.02175281389390455,
      0.02134140565931574,
      0.020936271760155167,
      0.02053731638784325,
      0.020144445377382827,
      0.019757565952925285,
      0.019376586612629768,
      0.019001417342738275,
      0.018631969570274826,
      0.018268156095982386,
      0.017909890962625054,
      0.017557089417217005,
      0.017209668125983735,
      0.01686754498773865,
      0.016530639168394055,
      0.016198871191229612,
      0.015872162606320503,
      0.015550436281168077,
      0.0152336161808083,
      0.014921627470716065,
      0.014614396445955151,
      0.0143118505284917,
      0.014013918319949994,
      0.013720529372385954,
      0.013431614459209571,
      0.01314710532906558,
      0.012866934864640522,
      0.012591036774666662,
      0.012319345913083542,
      0.0120517980933133,
      0.011788330218339983,
      0.011528879975858974,
      0.011273386204683737,
      0.0110217884511582,
      0.010774027311001152,
      0.010530044278996542,
      0.01028978178670242,
      0.010053183046322625,
      0.009820192267171606,
      0.009590754468458876,
      0.009364815352660212,
      0.009142321448753831,
      0.008923220315938372,
      0.008707460267789251,
      0.008494990252242152,
      0.00828576013472984,
      0.008079720495115923,
      0.007876822745534865,
      0.0076770190413562095,
      0.007480262150682879,
      0.007286505644638154,
      0.007095703689409992,
      0.006907811178292503,
      0.0067227837644440475,
      0.006540577705893287,
      0.006361150031200061,
      0.006184458383421762,
      0.0060104609938861926,
      0.005839116772659043,
      0.005670385370039142,
      0.0055042269162078545,
      0.005340602151227499,
      0.00517947244258845,
      0.005020799767129845,
      0.004864546581006606,
      0.004710676047625823,
      0.00455915182930905,
      0.00440993812929697,
      0.004262999799243296,
      0.004118302086733072,
      0.003975810817055953,
      0.0038354923290111935,
      0.0036973134253197337,
      0.0035612415160502457,
      0.00342724447143724,
      0.003295290731208175,
      0.003165349104405218,
      0.0030373888568305087,
      0.0029113797616907113,
      0.0027872921279819625,
      0.0026650966393252204,
      0.0025447644421776033,
      0.002426267096271381,
      0.0023095767365989613,
      0.0021946657093936924,
      0.002081506915336256,
      0.0019700736267229835,
      0.001860339528996867,
      0.0017522786618144432,
      0.0016458655271595862,
      0.0015410750402674756,
      0.001437882462584946,
      0.0013362634513143909,
      0.001236193944657899,
      0.0011376502770894523,
      0.0010406092139733974,
      0.0009450478728649775,
      0.0008509437164764991,
      0.0007582745532352339,
      0.0006670184946929961,
      0.0005771539968061751,
      0.0004886598070980422,
      0.00040151502767029804,
      0.00031569914761302593,
      0.00023119180334314738,
      0.0001479731441177701,
      6.602343583873014e-05,
      -1.4676736339857123e-05,
      -9.414634701525674e-05,
      -0.00017240415790837824,
      -0.0002494687023224891,
      -0.00032535814797138036,
      -0.0004000904384084338,
      -0.0004736831279132302,
      -0.0005461536923759809,
      -0.0006175192095819806,
      -0.0006877964709878179,
      -0.000757002111193217,
      -0.0008251525015972349,
      -0.0008922637253779868,
      -0.0009583516600085581,
      -0.0010234318358029815,
      -0.001087519694206484,
      -0.001150630323929101,
      -0.0012127786029702775,
      -0.001273979148842299,
      -0.0013342465031482736,
      -0.0013935948833738202,
      -0.0014520383341059032,
      -0.0015095906613816527,
      -0.001566265340509632,
      -0.0016220757661027682,
      -0.0016770351776138378,
      -0.0017311564821125454,
      -0.001784452591380574,
      -0.0018369361036133203,
      -0.0018886192955951053,
      -0.0019395143490228699,
      -0.0019896334046724607,
      -0.002038988177570847,
      -0.002087590346380974,
      -0.002135451402182504,
      -0.0021825827063227813,
      -0.002228995414000646,
      -0.0022747003463304072,
      -0.0023197083383517175,
      -0.002364030039675893,
      -0.0024076758925620457,
      -0.002450656236384477,
      -0.002492981177340469,
      -0.002534660754735661,
      -0.0025757047451228183,
      -0.002616122783298634,
      -0.002655924482931098
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566501591655214,
      10.335263328648782,
      10.095406605543301,
      9.850099595227586,
      9.60194171261354,
      9.353215744067896,
      9.105907503582733,
      8.861675798885035,
      8.621837356243173,
      8.387364764133194,
      8.15890299709855,
      7.936804570462625,
      7.721160396600464,
      7.511847353091575,
      7.308577913404497,
      7.110948349342236,
      6.918480898463477,
      6.730662686473551,
      6.546977248706966,
      6.366926839590927,
      6.1900526083693705,
      6.01594316084937,
      5.844237175422941,
      5.674645220705944,
      5.506957967443124,
      5.341042508528611,
      5.176844218824019,
      5.014388949843801,
      4.85376490358222,
      4.6951277509376865,
      4.538706696350353,
      4.384814413274024,
      4.233811905672783,
      4.086083556030582,
      3.942024270476325,
      3.8020263402691983,
      3.666466913827001,
      3.535687635220877,
      3.4099845556162074,
      3.2896016440479485,
      3.174726719125324,
      3.065489757255845,
      2.961955208418513,
      2.8641153988279333,
      2.7718855114121674,
      2.6851205488533796,
      2.603631218372034,
      2.527185044653175,
      2.4555299315866708,
      2.3884130807936264,
      2.325567380246555,
      2.26669131297994,
      2.211452860356646,
      2.1594760293077444,
      2.110394612988664,
      2.0638635315911706,
      2.0195686281535172,
      1.977230830829749,
      1.936617113431058,
      1.8975338140987896,
      1.8598278900844711,
      1.8233751744304216,
      1.7880700794577413,
      1.7538197252855545,
      1.7205480652564875,
      1.6881925539361988,
      1.6567005249123745,
      1.6260266457423793,
      1.5961311202131334,
      1.5669784149994757,
      1.538536351004635,
      1.510775069001232,
      1.483664781326738,
      1.4571775481334925,
      1.4312882106382163,
      1.4059743470183577,
      1.3812156628827643,
      1.3569938875631948,
      1.3332917703970837,
      1.3100925843763085,
      1.2873801857701401,
      1.2651405162591587,
      1.2433610948481129,
      1.2220292124841885,
      1.201132672785977,
      1.1806615103330982,
      1.1606057871420343,
      1.1409550265014718,
      1.1216994162244265,
      1.1028296160210993,
      1.0843363999278415,
      1.066210623436985,
      1.0484429717079093,
      1.0310241460346192,
      1.013944980233232,
      0.9971965108788389,
      0.9807700190835076,
      0.964657052968762,
      0.9488494368989133,
      0.9333392735597017,
      0.9181189397554216,
      0.9031810801855,
      0.8885185992214988,
      0.8741246514058864,
      0.8599926312254894,
      0.8461161642287759,
      0.832489096257359,
      0.8191054844180545,
      0.8059595873099734,
      0.7930458571528294,
      0.7803589305791814,
      0.7678936206470313,
      0.755644909391816,
      0.7436079401308884,
      0.7317780111702333,
      0.7201505686158153,
      0.7087212005659678,
      0.6974856311430688,
      0.6864397144699464,
      0.6755794298395968,
      0.6649008759653564,
      0.6544002665442503,
      0.6440739255493433,
      0.6339182813508972,
      0.6239298112888247,
      0.6141050687445605,
      0.6044407304019791,
      0.5949335823399282,
      0.585580510349402,
      0.5763785177788524,
      0.5673247153808723,
      0.558416280167273,
      0.5496504540167746,
      0.5410247535825182,
      0.5325370243897539,
      0.524185041847615,
      0.5159665105636221,
      0.5078791092724506,
      0.4999205196504235,
      0.49208844452342654,
      0.4843806188033849,
      0.4767948163635293,
      0.46932885383472933,
      0.4619805921676495,
      0.4547479377899923,
      0.4476288422838303,
      0.44062130212536954,
      0.43372335765983666,
      0.4269330923159622,
      0.4202490048429524,
      0.413670067364667,
      0.4071950484920876,
      0.40082252631661797,
      0.3945509692966798,
      0.38837878770512124,
      0.3823043669441897,
      0.376326088424126,
      0.37044234274393695,
      0.36465147812096954,
      0.3589518213933861,
      0.35334175989487043,
      0.3478197348435646,
      0.34238423259299905,
      0.33703377905415,
      0.3317669352011738,
      0.3265822944786088,
      0.3214784931299874,
      0.31645426457355885,
      0.31150817121017643,
      0.30663873029508243,
      0.30184455394303367,
      0.29712432413907597,
      0.2924767945531485,
      0.2879007714264196,
      0.283395086453279,
      0.27895859481082547,
      0.27459017416873704,
      0.27028872365137535,
      0.26605316324781675,
      0.26188243298346764,
      0.2577754923494806,
      0.2537313198765588,
      0.24974912642062186,
      0.2458284001518889,
      0.2419685133737241,
      0.238168723358594,
      0.23442821689184484,
      0.23074613963598786,
      0.22712161563137573,
      0.22355375992072463,
      0.2200416870183511,
      0.21658451630110456,
      0.21318137555136515,
      0.20983140318866195,
      0.20653374949257897,
      0.2032875152125708,
      0.20009176223704284,
      0.19694560273120623,
      0.1938481925773428,
      0.19079872099945488,
      0.18779640348475776,
      0.18484047718711827,
      0.18193019775320002,
      0.17906483696244563,
      0.17624368131237036,
      0.17346603085176288,
      0.17073119834077513,
      0.1680385088182959,
      0.16538729910508967,
      0.16277691726065224,
      0.16020672224653798,
      0.15767608385352389,
      0.15518438238313137,
      0.15273100832557232,
      0.15031536230656475,
      0.1479368546735158,
      0.14559490552832158,
      0.14328894449450894,
      0.14101841034579457,
      0.1387827510359524,
      0.136581423481361,
      0.13441389345215973,
      0.1322796351906798,
      0.13017813166523323,
      0.1281088739786917,
      0.12607136154571993,
      0.12406510174816356,
      0.12208960990132603,
      0.1201444089707155,
      0.11822902968202917,
      0.11634301029261991,
      0.11448589626603238,
      0.1126572404336459,
      0.11085660265217383,
      0.10908354978892824,
      0.10733765558984426,
      0.1056185005002711,
      0.10392567166012608,
      0.1022587627241087,
      0.10061737391337854,
      0.09900111163132916,
      0.09740958835433591,
      0.0958424228358257,
      0.09429923982242322,
      0.0927796698416069,
      0.0912833493144951,
      0.08980992035791514,
      0.08835903068908628,
      0.08693033346031755,
      0.08552348724650684,
      0.08413815604159722,
      0.08277400919496165,
      0.08143072114709644,
      0.08010797135472413,
      0.07880544428812207,
      0.07752282926459685,
      0.07625982061755246,
      0.0750161173873027,
      0.0737914231684777,
      0.07258544623481984,
      0.0713978994135871,
      0.07022849993843876,
      0.06907696951529976,
      0.06794303408941944,
      0.06682642380963598,
      0.06572687309979043,
      0.06464412038019253,
      0.06357790834148526,
      0.0625279835084104,
      0.061494096391062854,
      0.060476001332072635,
      0.05947345639044722,
      0.058486223468392995,
      0.05751406802586442,
      0.056556759292087984,
      0.05561406990884932,
      0.054685776108140564,
      0.05377165753449217,
      0.05287149721979486,
      0.05198508162179898,
      0.05111220042107489,
      0.05025264650476519,
      0.04940621604558916,
      0.04857270831276538,
      0.04775192560005027,
      0.04694367325711431,
      0.04614775972624081,
      0.04536399630784068,
      0.04459219718778147,
      0.043832179453509784,
      0.04308376294937312,
      0.04234677035897856,
      0.04162102711053251,
      0.04090636122884452,
      0.04020260348062659,
      0.03950958708789825,
      0.038827147934489555,
      0.038155124349912216,
      0.03749335723355486,
      0.03684168984831367,
      0.036199967839546154,
      0.03556803930454014,
      0.03494575464558961,
      0.03433296654326457,
      0.033729529884297366,
      0.03313530192379493,
      0.03255014195101538,
      0.03197391148439024,
      0.03140647408713747,
      0.030847695470725557,
      0.030297443485937138,
      0.02975558785449843,
      0.029222000436477942,
      0.028696554977510943,
      0.02817912716284309,
      0.02766959455744021,
      0.027167836547398252,
      0.026673734358075584,
      0.026187171200536936,
      0.025708031967412802,
      0.025236203310804742,
      0.024771573669679307,
      0.02431403311966609,
      0.02386347347720602,
      0.023419788188248917,
      0.02298287235629427,
      0.022552622732744682,
      0.02212893744002751,
      0.021711716240749784,
      0.021300860520458393,
      0.02089627300348854,
      0.020497858027095146,
      0.020105521376936906,
      0.019719170344226135,
      0.01933871364887567,
      0.018964061330220675,
      0.01859512469328022,
      0.018231816667671093,
      0.017874051300994984,
      0.017521744007271158,
      0.01717481150909705,
      0.01683317172761649,
      0.01649674386143746,
      0.01616544842001195,
      0.015839207128382195,
      0.015517942874723774,
      0.015201579688058497,
      0.01489004286023565,
      0.01458325863393088,
      0.014281154549832005,
      0.013983659175012602,
      0.01369070212828296,
      0.013402214186008966,
      0.013118127175968594,
      0.012838373945338022,
      0.012562888383769186,
      0.012291605456679327,
      0.012024460975509799,
      0.011761391772342828,
      0.011502335757506558,
      0.011247231625008139,
      0.010996019063919437,
      0.010748638731450199,
      0.01050503210951959,
      0.010265141612162573,
      0.010028910614172614,
      0.0097962832161284,
      0.009567204572261068,
      0.009341620490784765,
      0.00911947766660039,
      0.00890072351655251,
      0.008685306431443548,
      0.008473175496857988,
      0.008264280490703492,
      0.00805857201700261,
      0.00785600158558638,
      0.007656521339112267,
      0.0074600840623365175,
      0.007266643289670677,
      0.0070761533454027775,
      0.006888569215253108,
      0.00670384657337834,
      0.006521941792914831,
      0.006342811927345751,
      0.006166414650186192,
      0.005992708197002902,
      0.005821651532279307,
      0.005653204289759353,
      0.005487326537549995,
      0.0053239790998929944,
      0.005163123434278904,
      0.005004721441995108,
      0.0048487358021586996,
      0.004695129615347506,
      0.004543866595706664,
      0.0043949110558214035,
      0.004248227747657062,
      0.004103782023094448,
      0.003961539697964965,
      0.0038214671914311785,
      0.0036835313623002444,
      0.003547699633430144,
      0.0034139398893105514,
      0.00328222054077462,
      0.003152510579142965,
      0.0030247792891704836,
      0.0028989964527965143,
      0.0027751323832504193,
      0.0026531577575582468,
      0.002533043705082773,
      0.002414761853352094,
      0.002298284330876167,
      0.0021835835879763575,
      0.0020706325175371496,
      0.0019594044440547362,
      0.0018498730443890254,
      0.00174201247976042,
      0.0016357972624998398,
      0.0015312022831595838,
      0.0014282028966530766,
      0.0013267746979947423,
      0.0012268937510470847,
      0.0011285363864653474,
      0.0010316793058897339,
      0.0009362996939719509,
      0.0008423750652914011,
      0.0007498831635077929,
      0.0006588021536105464,
      0.0005691104917077136,
      0.0004807870314402794,
      0.00039381088994518013,
      0.0003081614359298012,
      0.00022381848857942353,
      0.00014076213007235914,
      5.8972729187330665e-05,
      -2.1568989268428576e-05,
      -0.0001008821476297173,
      -0.00017898535136522836,
      -0.00025589718204236213,
      -0.00033163576757885724,
      -0.00040621896801426046,
      -0.00047966442033467135,
      -0.000551989499291967,
      -0.0006232113731603858,
      -0.000693346861096972,
      -0.000762412409995144,
      -0.000830424483720325,
      -0.0008973991058850685,
      -0.0009633520056513662,
      -0.0010282988511224188,
      -0.001092254941923533,
      -0.0011552354665682752,
      -0.0012172552947864305,
      -0.001278329042289164,
      -0.0013384711536375,
      -0.0013976958507978204,
      -0.0014560171443665838,
      -0.001513448850562437,
      -0.0015700044863883743,
      -0.0016256975198573928,
      -0.0016805410411598579,
      -0.0017345479095948622,
      -0.0017877308229517312,
      -0.0018401025011997964,
      -0.0018916752462974826,
      -0.0019424613343802988,
      -0.0019924727329022904,
      -0.002041721255780464,
      -0.002090218565302723,
      -0.0021379760844519205,
      -0.002185005130567028,
      -0.002231316762687073,
      -0.00227692199689107,
      -0.002321831581965704,
      -0.0023660560292982718,
      -0.0024096057748027957,
      -0.002452491219936224,
      -0.002494722499049403,
      -0.0025363095445283023,
      -0.0025772622339064522,
      -0.0026175902062133133,
      -0.002657303020482432
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566499556743105,
      10.335254187513565,
      10.095385005112867,
      9.850060393631884,
      9.601881228307303,
      9.353131501567828,
      9.105797999297089,
      8.861540260915152,
      8.621675539548635,
      8.38717710080274,
      8.158690212434557,
      7.936567090389863,
      7.720898490737396,
      7.511561266425675,
      7.30826783052554,
      7.110614381712243,
      6.918123174187368,
      6.730281418671447,
      6.546572676932378,
      6.366499303476099,
      6.189602545651365,
      6.015471239625635,
      5.843744295304828,
      5.674132469826281,
      5.506426680394119,
      5.340494261513912,
      5.176280834179033,
      5.013812434543555,
      4.853177441649781,
      4.694531857898286,
      4.538105404995271,
      4.384211342646315,
      4.233210644125369,
      4.085487656857509,
      3.9414371896598484,
      3.8014515135681464,
      3.6659075803248347,
      3.5351466940217646,
      3.409464524079391,
      3.289104626793458,
      3.1742543932082556,
      3.0650433695164434,
      2.9615354520902373,
      2.8637224143444637,
      2.771518849901497,
      2.6847792284845244,
      2.603313610651348,
      2.526889246332469,
      2.455253952278746,
      2.3881548140086926,
      2.325324579872772,
      2.266461642347609,
      2.2112337287474313,
      2.159264737018163,
      2.1101887474260046,
      2.063660945356216,
      2.019367378862858,
      1.9770293379577857,
      1.9364141875177534,
      1.8973285887693772,
      1.859619746198019,
      1.823163673157279,
      1.7878548839370318,
      1.75360060408397,
      1.7203248841188488,
      1.6879652467583934,
      1.65646907416776,
      1.6257910676767273,
      1.595891454531169,
      1.5667347173312793,
      1.538288687652997,
      1.5105235285215626,
      1.483409462153579,
      1.4569185368995263,
      1.4310256038240137,
      1.4057082568870296,
      1.3809461988994218,
      1.3567211628399785,
      1.3330158860574002,
      1.309813632927393,
      1.2870982562849713,
      1.2648558378531498,
      1.243073902651679,
      1.221739685323488,
      1.20084105802591,
      1.1803681772409602,
      1.16031099601022,
      1.1406589758261767,
      1.1214022711091587,
      1.1025315065373327,
      1.0840374362882415,
      1.0659108927800995,
      1.0481425451804822,
      1.0307230846275965,
      1.0136433374458629,
      0.9968943355188348,
      0.9804673568338673,
      0.9643539470801926,
      0.9485459290751072,
      0.9330354037657358,
      0.9178147469838659,
      0.9028766028067575,
      0.8882138747164581,
      0.8738197168023815,
      0.8596875231711449,
      0.8458109182423584,
      0.8321837475990456,
      0.8188000678836708,
      0.8056541374252252,
      0.7927404078508622,
      0.7800535150481464,
      0.7675882716018476,
      0.7553396589052997,
      0.7433028198895217,
      0.7314730522129794,
      0.7198458019809818,
      0.7084166567358893,
      0.6971813401423643,
      0.6861357056765465,
      0.6752757318893492,
      0.6645975170043669,
      0.6540972743215434,
      0.6437713272473622,
      0.6336161030018295,
      0.6236280775884062,
      0.6138038043319277,
      0.6041399598353214,
      0.5946333298638137,
      0.5852808025542999,
      0.5760793901076432,
      0.5670262007196148,
      0.5581184072729317,
      0.5493532487483257,
      0.5407283249647769,
      0.5322414846570779,
      0.5238904690384092,
      0.5156729599548826,
      0.507586621122942,
      0.49962912442179774,
      0.4917981660028865,
      0.48409147653830975,
      0.4765068268810328,
      0.46904203149010243,
      0.46169494995574695,
      0.45446348751076954,
      0.447345595107145,
      0.4403392683852109,
      0.43344254725302583,
      0.426653514458462,
      0.4199707600219163,
      0.4133932598783804,
      0.4069197458990783,
      0.4005487725156676,
      0.39427879250807624,
      0.38810820612880587,
      0.3820353920376971,
      0.376058727135467,
      0.370176599241275,
      0.36438746185744403,
      0.3586896471675054,
      0.35308150040348757,
      0.34756143508350734,
      0.3421279195038476,
      0.33677946763214744,
      0.3315146327095174,
      0.32633200321448674,
      0.3212302181543452,
      0.3162080179201275,
      0.31126395884653063,
      0.30639655340051075,
      0.3016044103806284,
      0.2968862102436779,
      0.29224070649158324,
      0.28766670399731553,
      0.2831630331016295,
      0.27872854828331833,
      0.27436212664308224,
      0.27006266689933184,
      0.26582908871851485,
      0.2616603318456386,
      0.2575553555815317,
      0.2535131383028548,
      0.24953290860667607,
      0.24561415572226214,
      0.24175624502803858,
      0.23795842903263598,
      0.2342198912123019,
      0.230539775119639,
      0.22691720334048374,
      0.22335128995899362,
      0.21984114897094084,
      0.2163858992770492,
      0.21298466838840452,
      0.20963659442683302,
      0.20634082743448395,
      0.20309646377082785,
      0.19990256505900067,
      0.1967582451063125,
      0.1936626608444119,
      0.1906150021734953,
      0.1876144850764141,
      0.1846603469847608,
      0.18175184355434518,
      0.1788882467496865,
      0.17606884314920856,
      0.17329293289265563,
      0.17055982880908044,
      0.16786885599001533,
      0.165219351177736,
      0.16261066236725696,
      0.16004214856442625,
      0.15751317956622665,
      0.1550231356036186,
      0.1525714072604609,
      0.15015739503835554,
      0.14778050942547702,
      0.14544017054737904,
      0.14313580795973024,
      0.14086686036478996,
      0.1386327758061856,
      0.13643301121579254,
      0.13426703239385246,
      0.1321343136460784,
      0.13003433780839171,
      0.12796659604257343,
      0.12593058778446004,
      0.12392582046258174,
      0.12195180936255358,
      0.12000807754073803,
      0.11809415572424448,
      0.11620958203119526,
      0.11435390213433358,
      0.11252666887617399,
      0.11072744209795264,
      0.10895578870729697,
      0.1072112825463774,
      0.10549350416810373,
      0.10380204065331607,
      0.1021364856788755,
      0.10049643942279309,
      0.09888150830682,
      0.09729130500183528,
      0.09572544812955401,
      0.09418356256984599,
      0.09266527889889936,
      0.09117023356568177,
      0.08969806873826205,
      0.08824843213881038,
      0.08682097706891018,
      0.08541536227660054,
      0.08403125170228974,
      0.0826683146850224,
      0.0813262256820759,
      0.08000466423866501,
      0.07870331487090067,
      0.07742186702674404,
      0.07616001504852084,
      0.07491745795588833,
      0.07369389938239806,
      0.07248904767797885,
      0.0713026156881125,
      0.07013432079428088,
      0.06898388469075512,
      0.06785103345093892,
      0.0667354973677055,
      0.06563701081238789,
      0.06455531237902155,
      0.06349014474169798,
      0.06244125449239869,
      0.061408392155282376,
      0.06039131205302045,
      0.059389772410110696,
      0.05840353509827858,
      0.05743236568846601,
      0.056476033395086535,
      0.05553431099940387,
      0.05460697484962747,
      0.05369380464218548,
      0.0527945835494244,
      0.05190909796907116,
      0.051037137645336635,
      0.05017849555454624,
      0.04933296789514795,
      0.048500353921036625,
      0.047680456038143436,
      0.04687307978201697,
      0.04607803354677078,
      0.045295128738494984,
      0.04452417970732496,
      0.04376500358317576,
      0.04301742037286793,
      0.04228125264849333,
      0.041556325881848155,
      0.04084246815978842,
      0.040139510240761775,
      0.039447285538443885,
      0.03876563003950069,
      0.03809438208466489,
      0.03743338257580299,
      0.03678247490932801,
      0.036141504779363856,
      0.03551032038754644,
      0.034888772149904476,
      0.03427671278808419,
      0.03367399729223187,
      0.03308048294375057,
      0.032496029181512884,
      0.03192049751101407,
      0.031353751562040386,
      0.03079565712208336,
      0.03024608205134131,
      0.029704896154653375,
      0.02917197135984751,
      0.028647181446356217,
      0.02813040213091952,
      0.027621511154355956,
      0.02712038801990872,
      0.026626913986581752,
      0.026140972151940858,
      0.025662447586620413,
      0.02519122706924411,
      0.02472719898711096,
      0.024270253529287935,
      0.023820282536851086,
      0.02337717948057769,
      0.022940839438432656,
      0.022511159174655692,
      0.02208803693919937,
      0.02167137265650251,
      0.021261067686092594,
      0.020857025067864594,
      0.02045914913291037,
      0.02006734567591437,
      0.019681521948860647,
      0.019301586749327873,
      0.01892745013326653,
      0.018559023565176355,
      0.0181962198575957,
      0.01783895326204059,
      0.017487139209313066,
      0.01714069441082882,
      0.01679953690112449,
      0.016463586028322725,
      0.016132762322485037,
      0.015806987438627393,
      0.015486184365012848,
      0.01517027712106959,
      0.014859190974943442,
      0.014552852430456594,
      0.014251189046868088,
      0.013954129365247512,
      0.013661603092170528,
      0.013373541066048046,
      0.013089875145087372,
      0.012810538149808894,
      0.012535464114984669,
      0.012264587922649348,
      0.0119978455049161,
      0.011735173866132443,
      0.011476510803850303,
      0.0112217951551667,
      0.01097096657456103,
      0.010723965799989646,
      0.010480734397333685,
      0.010241214847613497,
      0.010005350505888865,
      0.009773085639772824,
      0.009544365337975072,
      0.009319135498605738,
      0.009097342756676874,
      0.008878934669319988,
      0.008663859547920169,
      0.008452066497345277,
      0.008243505476921903,
      0.008038127161312717,
      0.007835883020447331,
      0.0076367253136823115,
      0.007440606877046613,
      0.007247481275210405,
      0.007057302759241385,
      0.006870026417908386,
      0.006685607899493566,
      0.006504003651440177,
      0.006325170730251794,
      0.0061490668555799445,
      0.005975650460653158,
      0.005804880503592133,
      0.005636716516375364,
      0.0054711187257282115,
      0.005308047941658783,
      0.0051474656136757,
      0.004989333819346399,
      0.004833615166192342,
      0.004680272785048112,
      0.00452927044610059,
      0.004380572346753692,
      0.004234143435346373,
      0.004089949114680325,
      0.003947955208013469,
      0.003808128072871712,
      0.0036704347552821105,
      0.003534842593239081,
      0.00340131957849377,
      0.0032698340715816647,
      0.0031403550659436013,
      0.003012851951535255,
      0.00288729447142408,
      0.002763653028542937,
      0.002641898391581479,
      0.0025220017648822386,
      0.002403934757938748,
      0.002287669573138068,
      0.0021731785655976807,
      0.0020604347455727683,
      0.001949411322436881,
      0.0018400820578385714,
      0.0017324211240367469,
      0.0016264030283264736,
      0.001522002843705153,
      0.001419195811874035,
      0.0013179576405371839,
      0.0012182644590294075,
      0.0011200925908223852,
      0.0010234188296807348,
      0.0009282202912064858,
      0.0008344745203653349,
      0.0007421593458084724,
      0.0006512529203232768,
      0.0005617337621253265,
      0.00047358053690121877,
      0.0003867725340488603,
      0.00030128926709288003,
      0.00021711041885176887,
      0.00013421609880468242,
      5.2586745719979325e-05,
      -2.779688518747954e-05,
      -0.00010695378535840827,
      -0.00018490271660239404,
      -0.00026166225906043534,
      -0.000337250521548083,
      -0.00041168528295714796,
      -0.0004849841445101458,
      -0.000557164433437052,
      -0.0006282432456924035,
      -0.000698237373094996,
      -0.0007671634009850756,
      -0.0008350376206504632,
      -0.00090187611256365,
      -0.0009676946121135704,
      -0.0010325087495254056,
      -0.0010963338441240564,
      -0.0011591849389790663,
      -0.0012210769173103815,
      -0.0012820244782135591,
      -0.0013420419460966496,
      -0.001401143543416901,
      -0.0014593432300296274,
      -0.001516654796414525,
      -0.0015730917522124726,
      -0.0016286675065445189,
      -0.0016833951662835428,
      -0.001737287663738326,
      -0.0017903577630137856,
      -0.0018426180019518068,
      -0.001894080696733103,
      -0.0019447581429803918,
      -0.001994662307826012,
      -0.002043804914981683,
      -0.002092197637203972,
      -0.0021398518302138195,
      -0.002186778831911042,
      -0.002232989758780259,
      -0.0022784955494913007,
      -0.0023233068742206393,
      -0.002367434392861517,
      -0.002410888536222471,
      -0.002453679610868422,
      -0.0024958176604372682,
      -0.0025373126138468565,
      -0.002578174388026193,
      -0.002618412614768154,
      -0.002658036780672564
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566497528748313,
      10.335245078404467,
      10.095363469619915,
      9.85002129454002,
      9.601820888053693,
      9.353047446955719,
      9.105688728239993,
      8.861405002620765,
      8.62151404870587,
      8.386989765239885,
      8.158477758353555,
      7.936329942092542,
      7.720636927255567,
      7.511275539552439,
      7.307958128661004,
      7.110280819239952,
      6.917765885029078,
      6.729900620382809,
      6.5461686024980175,
      6.366072288605857,
      6.189153033417047,
      6.014999902024923,
      5.843252036929397,
      5.6736203825361695,
      5.505896102924034,
      5.339946773380018,
      5.175718256798814,
      5.013236773495897,
      4.852590880847362,
      4.69393691204747,
      4.537505104948912,
      4.383609304194718,
      4.232610452609158,
      4.0848928612283215,
      3.9408512405204443,
      3.8008778414012028,
      3.6653494177724175,
      3.5346069329662657,
      3.408945673374294,
      3.288608784846578,
      3.1737832315454337,
      3.0645981303468823,
      2.9611168238976826,
      2.863330532175337,
      2.7711532614280663,
      2.6844389503054154,
      2.6029970123868447,
      2.5265944239799905,
      2.4549789162696314,
      2.387897458513102,
      2.3250826607979582,
      2.266232826194744,
      2.2110154115960774,
      2.159054226584082,
      2.109983638398931,
      2.0634590975626836,
      2.0191668557676086,
      1.976828563885864,
      1.9362119766563812,
      1.8971240776584894,
      1.8594123182779607,
      1.8229528909497004,
      1.7876404114870388,
      1.7533822108995087,
      1.720102435698501,
      1.687738677495926,
      1.6562383665568061,
      1.6255562378098565,
      1.5956525419892367,
      1.5664917781067302,
      1.5380417883878168,
      1.5102727584425797,
      1.4831549197829834,
      1.4566603082206804,
      1.4307637859144167,
      1.4054429616143918,
      1.380677535815522,
      1.3564492448623606,
      1.3327408136802885,
      1.309535498305222,
      1.2868172207907271,
      1.26457216536887,
      1.242787790892237,
      1.2214512872153334,
      1.2005506974477564,
      1.1800761779162894,
      1.1600175883750152,
      1.1403643386127211,
      1.1211065573320809,
      1.1022348379187568,
      1.083739916889777,
      1.065612605673075,
      1.0478435597226936,
      1.030423459851007,
      1.0133431264436892,
      0.99659358661428,
      0.980166115143346,
      0.9640522556079956,
      0.9482438291887519,
      0.9327329357133238,
      0.9175119499454276,
      0.9025735151411727,
      0.8879105343019542,
      0.8735161607592759,
      0.8593837882379074,
      0.8455070405338011,
      0.8318797625605282,
      0.8184960102873512,
      0.8053500416127647,
      0.7924363074594668,
      0.7797494435426925,
      0.7672842619856782,
      0.7550357437033571,
      0.7429990313525922,
      0.7311694220821591,
      0.7195423611174306,
      0.7081134354288459,
      0.6968783681543673,
      0.6858330124845985,
      0.6749733463596,
      0.6642954675426082,
      0.6537955887103221,
      0.6434700330102012,
      0.6333152262091658,
      0.6233276427716359,
      0.6135038362449582,
      0.6038404831758776,
      0.5943343691411922,
      0.5849823871649913,
      0.5757815564510543,
      0.5667289801544151,
      0.557821827591116,
      0.5490573660730189,
      0.5404332621089857,
      0.5319473372119341,
      0.5235973041116152,
      0.5153808256608676,
      0.5072955533093974,
      0.4993391506027547,
      0.49150930826791966,
      0.48380375321710406,
      0.47622025373254195,
      0.46875662242077,
      0.4614107175229072,
      0.45418044339152364,
      0.4470637501783156,
      0.4400586331016866,
      0.43316313125685435,
      0.4263753307847629,
      0.4196939111142092,
      0.4131178479443327,
      0.4066458371607675,
      0.40027640967381456,
      0.39400800294727145,
      0.3878390073430765,
      0.3817677950581364,
      0.37579273891368603,
      0.3699122239970389,
      0.36412477170024976,
      0.35842877080754126,
      0.3528225190927239,
      0.3473043996178381,
      0.34187286058583594,
      0.3365264028634409,
      0.3312635710900838,
      0.3260829477881766,
      0.3209831748605989,
      0.3159629996663215,
      0.31102097184831073,
      0.30615559905809525,
      0.30136548685317455,
      0.2966493141867908,
      0.2920058342410839,
      0.287433850051127,
      0.2829321910104558,
      0.27849971075921715,
      0.27413528573919044,
      0.26983781433783555,
      0.2656062159734646,
      0.2614394300830792,
      0.25733641594008033,
      0.25329615185430815,
      0.24931788375559508,
      0.24540110189228134,
      0.24154516460019132,
      0.2377493197978251,
      0.23401274783802617,
      0.23033459018369035,
      0.2267139679991757,
      0.2231499944432254,
      0.21964178278494678,
      0.21618845145666393,
      0.21278912760351756,
      0.20944294914493658,
      0.2061490659806054,
      0.20290657027686948,
      0.19971452327062836,
      0.196572040277964,
      0.19347827931201816,
      0.19043243093027112,
      0.1874337115407985,
      0.18448135896035056,
      0.18157462912677177,
      0.17871279392907385,
      0.1758951399824666,
      0.1731209674543125,
      0.17038958935021317,
      0.16770033064855822,
      0.16505252803756718,
      0.16244552951633476,
      0.15987869412683858,
      0.157351391752894,
      0.15486300261652983,
      0.15241291732987625,
      0.15000053639586453,
      0.1476252702767956,
      0.1452865389743994,
      0.1429837720631776,
      0.14071640845786695,
      0.1384838960928219,
      0.13628569189459908,
      0.134121261596277,
      0.13199007959639802,
      0.12989162874828147,
      0.12782540025732914,
      0.12579089356527512,
      0.12378761616428416,
      0.12181508329537544,
      0.1198728180845429,
      0.11796035122646537,
      0.11607722090140517,
      0.11422297277353538,
      0.11239715962492144,
      0.11059934147006469,
      0.10882908526790064,
      0.10708596480898698,
      0.10536956061838537,
      0.1036794599127685,
      0.10201525643939327,
      0.10037655041991399,
      0.09876294821002049,
      0.0971740625142149,
      0.09560951218954124,
      0.0940689219810058,
      0.09255192252516062,
      0.09105815031667545,
      0.08958724761859081,
      0.08813886216990108,
      0.08671264725560639,
      0.08530826161164437,
      0.08392536940611374,
      0.082563640019854,
      0.081222747960297,
      0.07990237266907521,
      0.07860219874151222,
      0.07732191573508981,
      0.0760612179924112,
      0.07481980461179157,
      0.07359737944431624,
      0.0723936507708953,
      0.07120833155190441,
      0.07004113916584333,
      0.06889179538976233,
      0.06776002623959104,
      0.06664556209359505,
      0.06554813757697922,
      0.06446749128398416,
      0.06340336588347538,
      0.06235550797871302,
      0.061323668178875565,
      0.06030760089592033,
      0.05930706438752517,
      0.05832182062377004,
      0.05735163529126519,
      0.05639627763329353,
      0.055455520465255516,
      0.05452914014321636,
      0.05361691641490381,
      0.0527186324458862,
      0.0518340748457979,
      0.050963033519800284,
      0.050105301440377566,
      0.04926067475152302,
      0.04842895289483417,
      0.04760993834384033,
      0.04680343655992621,
      0.046009256153361926,
      0.045227208442448055,
      0.044457107882009794,
      0.043698771631757324,
      0.04295201973337059,
      0.04221667499296283,
      0.04149256283915037,
      0.04077951151866878,
      0.04007735178120057,
      0.03938591712079385,
      0.038705043534727944,
      0.03803456940971734,
      0.037374335821223174,
      0.036724186232233606,
      0.03608396639528546,
      0.03545352449239352,
      0.03483271098525274,
      0.03422137867447715,
      0.03361938275218148,
      0.03302658049442081,
      0.03244283119740305,
      0.031867996601666906,
      0.03130194047302546,
      0.030744528675049728,
      0.030195629027142134,
      0.029655111493984074,
      0.02912284795774616,
      0.0285987121626259,
      0.028082580048608387,
      0.02757432934278685,
      0.02707383957772843,
      0.02658099209110078,
      0.026095670096127538,
      0.02561775871477512,
      0.025147144731814883,
      0.02468371662933232,
      0.024227364608372427,
      0.023777980547238512,
      0.023335458087570062,
      0.022899692440658252,
      0.02247058032710211,
      0.022048020164467705,
      0.021631911853627377,
      0.02122215682635156,
      0.020818658027898954,
      0.02042131996350129,
      0.020030048514982322,
      0.019644750960375927,
      0.01926533608779264,
      0.018891714048047157,
      0.018523796320782,
      0.018161495774766123,
      0.017804726657345196,
      0.017453404487478723,
      0.01710744606188941,
      0.01676676951059968,
      0.01643129419237667,
      0.0161009406777109,
      0.015775630774637877,
      0.015455287463951296,
      0.0151398348837474,
      0.014829198286133678,
      0.014523304215230015,
      0.014222080244479409,
      0.013925455074404148,
      0.013633358450244099,
      0.013345721166424945,
      0.013062475208691544,
      0.012783553538248749,
      0.012508890045095963,
      0.012238419791383646,
      0.011972078699461966,
      0.011709803663160816,
      0.011451532611928252,
      0.011197204432741774,
      0.010946758952510226,
      0.010700136828991777,
      0.010457279702141132,
      0.01021813014799959,
      0.009982631650753688,
      0.009750728381088156,
      0.00952236535216208,
      0.009297488579571958,
      0.009076044786589903,
      0.008857981583281877,
      0.008643247451790353,
      0.008431791435934765,
      0.008223563513990506,
      0.008018514472282856,
      0.007816595775666195,
      0.007617759676112804,
      0.007421959050726897,
      0.007229147452248817,
      0.007039279327597268,
      0.006852309769040312,
      0.006668194477868042,
      0.006486889876900028,
      0.0063083530984543576,
      0.006132541854357551,
      0.005959414549621405,
      0.0057889302404408255,
      0.005621048486079029,
      0.005455729622680122,
      0.005292934550159448,
      0.005132624699783258,
      0.0049747621055461376,
      0.004819309452291282,
      0.004666229967348093,
      0.004515487288880267,
      0.0043670458576272496,
      0.004220870579936487,
      0.004076926811132877,
      0.003935180518439094,
      0.0037955981218491404,
      0.0036581464958336703,
      0.003522793272200878,
      0.0033895063246061003,
      0.003258254094490899,
      0.0031290055623435825,
      0.0030017300813646184,
      0.002876397588169496,
      0.0027529783829323075,
      0.002631443209933562,
      0.0025117633717578773,
      0.0023939104956647414,
      0.00227785682316345,
      0.0021635748146600657,
      0.0020510374103268328,
      0.0019402179429798732,
      0.0018310901988170107,
      0.0017236284035697504,
      0.0016178070383485533,
      0.0015136011342484572,
      0.0014109860277801102,
      0.0013099375632252927,
      0.0012104316858868316,
      0.0011124448504331733,
      0.0010159538581739282,
      0.0009209358680228125,
      0.0008273683448965616,
      0.000735229200282394,
      0.0006444966228664987,
      0.0005551491262644605,
      0.0004671657003844054,
      0.0003805255060471496,
      0.00029520796501985837,
      0.00021119286368731803,
      0.0001284602927965838,
      4.6990620158308356e-05,
      -3.323537010932977e-05,
      -0.00011223659770234889,
      -0.0001900318174668058,
      -0.0002666394958204501,
      -0.0003420777624486595,
      -0.0004163644117098432,
      -0.0004895170167496178,
      -0.0005615527758262017,
      -0.0006324888854257299,
      -0.000702342130473773,
      -0.00077112898213005,
      -0.000838865783290165,
      -0.0009055686028668053,
      -0.0009712530951579034,
      -0.0010359347905311452,
      -0.0010996291117529584,
      -0.0011623511292013981,
      -0.0012241156264271417,
      -0.001284937259937196,
      -0.0013448304577467112,
      -0.0014038093741983412,
      -0.0014618879074769027,
      -0.0015190797540097882,
      -0.0015753984558757007,
      -0.0016308574414805983,
      -0.0016854698490243673,
      -0.0017392484955265216,
      -0.0017922061815497598,
      -0.0018443554488132088,
      -0.0018957086549932368,
      -0.0019462778821029865,
      -0.001996075028601708,
      -0.0020451120024067913,
      -0.002093400443135102,
      -0.00214095176157375,
      -0.002187777152567381,
      -0.002233887670719424,
      -0.0022792941658390745,
      -0.0023240074143776024,
      -0.0023680381238236087,
      -0.0024113966055487874,
      -0.002454093248031705,
      -0.0024961382585828268,
      -0.0025375414679701565,
      -0.0025783126110403734,
      -0.0026184612819382717,
      -0.002657996997216988
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.56649550767084,
      10.33523599989841,
      10.095341999424528,
      9.849982300908744,
      9.60176069599904,
      9.352963586521906,
      9.105579699987796,
      8.861270037818157,
      8.621352901774788,
      8.386802703004694,
      8.158265522713227,
      7.936092974056033,
      7.720375520449538,
      7.510989958783038,
      7.307648574503973,
      7.109947415979523,
      6.917408773635012,
      6.729520025444538,
      6.545764762589331,
      6.365645544993432,
      6.1887038338375016,
      6.0145289229760515,
      5.842760184433797,
      5.673108750142761,
      5.505366029378616,
      5.339399839612564,
      5.175156287718823,
      5.0126617778668185,
      4.852005043772273,
      4.693342747615166,
      4.536905641264479,
      4.383008153384287,
      4.2320111960568525,
      4.084299042864716,
      3.9402663052416873,
      3.800305214221642,
      3.6647923258362325,
      3.5340682625926965,
      3.4084279279754086,
      3.28811405618796,
      3.1733131845404614,
      3.0641540011406994,
      2.9606992961723124,
      2.8629397379346124,
      2.7707887455537885,
      2.6840997268136593,
      2.6026814502417093,
      2.5263006183369656,
      2.4547048767762654,
      2.3876410797643937,
      2.324841699136293,
      2.266004948547365,
      2.210798015478928,
      2.158844622323835,
      2.109779423224109,
      2.063258133705101,
      2.0189672090300226,
      1.9766286605461432,
      1.9360106325347244,
      1.8969204309306267,
      1.8592057533031452,
      1.8227429716926735,
      1.7874268029124305,
      1.753164683034317,
      1.719880855224864,
      1.6875129788725798,
      1.6560085324931357,
      1.625322285068324,
      1.5954145102046902,
      1.5662497226064709,
      1.5377957753944236,
      1.5100228768549384,
      1.48290126829197,
      1.456402973473568,
      1.4305028643658972,
      1.4051785658661942,
      1.380409775067611,
      1.3561782324241372,
      1.3324666504174285,
      1.3092582763154204,
      1.286537101011384,
      1.264289411222199,
      1.2425026000147652,
      1.2211638138015295,
      1.2002612695184374,
      1.179785117159172,
      1.1597251239801503,
      1.1400706491595465,
      1.1208117944838238,
      1.1019391221678754,
      1.0834433526620917,
      1.0653152760130875,
      1.047545533467034,
      1.0301247963369329,
      1.0130438783688973,
      0.9962938024246143,
      0.9798658402391981,
      0.9637515328276082,
      0.9479426997398925,
      0.9324314397908617,
      0.9172101268830979,
      0.902271403403158,
      0.8876081715174434,
      0.8732135837996241,
      0.859081033438272,
      0.8452041442635119,
      0.8315767603620573,
      0.818192937126705,
      0.8050469319690174,
      0.7921331953049149,
      0.7794463624421455,
      0.7669812451121646,
      0.754732823439078,
      0.7426962394409621,
      0.7308667900263384,
      0.7192399200628142,
      0.7078112159874479,
      0.6965764000686984,
      0.6855313250211277,
      0.6746719683125437,
      0.6639944273577213,
      0.6534949142201062,
      0.6431697512886899,
      0.6330153632914414,
      0.6230282232110024,
      0.6132048847213513,
      0.6035420242413625,
      0.5940364271634059,
      0.5846849941500755,
      0.5754847481859527,
      0.5664327874451847,
      0.5575262779121046,
      0.54876252916994,
      0.540139267374058,
      0.5316542733535455,
      0.5233052330821374,
      0.5150897924856895,
      0.5070055917591614,
      0.49905028694198916,
      0.49122156357354974,
      0.4835171451155916,
      0.47593479743372336,
      0.46847233156047957,
      0.4611276046142322,
      0.4538985199118891,
      0.4467830268770199,
      0.43977912007166864,
      0.43288483825469315,
      0.4260983148730373,
      0.4194182935400408,
      0.41284370679248544,
      0.4063732230573418,
      0.40000535531984516,
      0.3937385296349747,
      0.38757112878145256,
      0.3815015198455707,
      0.3755280723271569,
      0.3696491690787561,
      0.36386339880524043,
      0.35816920893002085,
      0.3525648496949416,
      0.3470486733148314,
      0.3416191079654092,
      0.3362746412738396,
      0.3310138093161151,
      0.3258351890902688,
      0.320737424949113,
      0.3157192712299508,
      0.3107792715427653,
      0.30591592821304747,
      0.30112784346608573,
      0.2964136949774061,
      0.2917722356315044,
      0.28720226676228683,
      0.2827026164825622,
      0.2782721376795483,
      0.2739097063484912,
      0.2696142205552517,
      0.2653845992763124,
      0.26121978182838324,
      0.2571187271621293,
      0.2530804133394185,
      0.2491041038854089,
      0.24518929015172408,
      0.24133532347774708,
      0.23754144703438942,
      0.23380683812241684,
      0.2301306360590168,
      0.22651196050530828,
      0.222949923777698,
      0.2194436383992873,
      0.21599222250517452,
      0.2125948028172897,
      0.20925051698274133,
      0.20595851470119036,
      0.20271788388774717,
      0.1995276855256332,
      0.19638703658455192,
      0.19329509606274092,
      0.190251055103991,
      0.18725413059808155,
      0.18430356054862482,
      0.1813986010908265,
      0.1785385244235701,
      0.17572261724094568,
      0.1729501797105179,
      0.17022052467627066,
      0.16753297728146893,
      0.16488687417748216,
      0.1622815634169592,
      0.15971640411541504,
      0.15719076605246066,
      0.1547040293901495,
      0.15225558465395286,
      0.14984483251884545,
      0.14747118335618767,
      0.14513405720800515,
      0.14283288360317686,
      0.1405671015215225,
      0.13833615891425935,
      0.13613951266329402,
      0.13397662856023101,
      0.13184698099365688,
      0.12975005281428745,
      0.12768533522555175,
      0.12565232764841897,
      0.12365053759220246,
      0.12167948038481435,
      0.11973867920063748,
      0.11782766476933021,
      0.11594597526767231,
      0.11409315638086921,
      0.11226876103163111,
      0.11047234915190418,
      0.1087034876611796,
      0.10696175049338079,
      0.10524671820099285,
      0.1035579779885653,
      0.10189512364680962,
      0.10025775543259095,
      0.09864547983690473,
      0.0970579095645277,
      0.09549466338838798,
      0.09395536618997434,
      0.09243964859426303,
      0.09094714724143849,
      0.08947750430307129,
      0.08803036766648632,
      0.08660539066800732,
      0.08520223211885158,
      0.0838205561496683,
      0.08246003211822958,
      0.08112033457710896,
      0.07980114319575843,
      0.07850214257688003,
      0.07722302234781932,
      0.07596347693302342,
      0.07472320538789458,
      0.07350191157385658,
      0.0722993039879932,
      0.07111509550127622,
      0.0699490036375712,
      0.06880075019501602,
      0.06767006138565373,
      0.06655666752670902,
      0.06546030322085886,
      0.06438070711938595,
      0.06331762195815147,
      0.062270794446019295,
      0.06123997519999384,
      0.060224918783819234,
      0.05922538347798677,
      0.0582411313148086,
      0.057271928086168,
      0.05631754310134243,
      0.05537774914202179,
      0.054452322685109814,
      0.05354104356683912,
      0.05264369503753749,
      0.05176006375339956,
      0.05088993949118883,
      0.05003311534562638,
      0.049189387751558816,
      0.04835855612107284,
      0.04754042293730613,
      0.04673479378984236,
      0.04594147724348334,
      0.04516028478231616,
      0.044391030853534366,
      0.043633532795642374,
      0.04288761061826854,
      0.04215308717728383,
      0.04142978801077496,
      0.04071754132827378,
      0.0400161780579574,
      0.03932553174855789,
      0.03864543852550314,
      0.03797573678997685,
      0.03731626760427416,
      0.03666687440311837,
      0.03602740309584633,
      0.03539770200352156,
      0.03477762167787434,
      0.03416701495131529,
      0.033565736976687285,
      0.032973645012052286,
      0.03239059866219745,
      0.031816459654811925,
      0.031251091809776685,
      0.03069436094635466,
      0.03014613508441333,
      0.0296062841450734,
      0.029074680072454773,
      0.02855119679138421,
      0.028035710242387612,
      0.02752809814528559,
      0.027028240157232777,
      0.02653601777738134,
      0.026051314309919388,
      0.02557401482763229,
      0.025104006091133266,
      0.024641176710465423,
      0.02418541696358893,
      0.0237366188060776,
      0.023294675868339373,
      0.02285948340819152,
      0.022430938244382196,
      0.022008938810805765,
      0.021593385083268624,
      0.021184178576098275,
      0.02078122232528,
      0.020384420769673967,
      0.019993679841241105,
      0.019608906927327984,
      0.019230010806920904,
      0.018856901738571668,
      0.01848949144606822,
      0.01812769275357047,
      0.017771419950198153,
      0.017420588638447643,
      0.01707511566445794,
      0.016734919173769607,
      0.016399918570539598,
      0.016070034462488413,
      0.01574518868675329,
      0.015425304238918025,
      0.015110305225555815,
      0.014800117063108612,
      0.014494666395219723,
      0.014193880792438291,
      0.013897688970967072,
      0.013606020805549086,
      0.013318807194655615,
      0.013035980043864434,
      0.01275747238054746,
      0.012483218192968604,
      0.012213152400388571,
      0.011947211100398071,
      0.011685331439265893,
      0.011427451288900695,
      0.011173509550285923,
      0.010923446093659524,
      0.01067720169830392,
      0.010434718068227832,
      0.010195937769833055,
      0.009960804114589845,
      0.009729261420292986,
      0.009501254945140307,
      0.009276730564742392,
      0.009055635126218141,
      0.008837916239340365,
      0.00862352236383957,
      0.008412402638908585,
      0.008204507096970721,
      0.00799978649970069,
      0.007798192284509109,
      0.007599676851162844,
      0.0074041930823978514,
      0.0072116947887947095,
      0.0070221364258184924,
      0.00683547295959091,
      0.0066516600716709975,
      0.006470654430561388,
      0.006292413063609728,
      0.0061168936591382925,
      0.005944054737464875,
      0.005773855462704756,
      0.005606255431586322,
      0.00544121490299507,
      0.005278694743755742,
      0.005118656535704299,
      0.004961062431423483,
      0.004805875069268297,
      0.004653057643004389,
      0.004502573967237432,
      0.004354388545269041,
      0.004208466219893918,
      0.004064772372610949,
      0.003923272921236348,
      0.0037839344342360387,
      0.0036467238277130185,
      0.0035116086364074166,
      0.0033785568861558197,
      0.0032475370510619346,
      0.0031185181270411214,
      0.002991469592744276,
      0.002866361321219344,
      0.002743163659383938,
      0.002621847362520082,
      0.002502383720990391,
      0.002384744472973839,
      0.0022689017953896754,
      0.0021548281691635743,
      0.0020424965701934766,
      0.0019318804204811859,
      0.0018229535727973152,
      0.0017156902399739818,
      0.0016100650081809478,
      0.0015060528387824017,
      0.001403629129300413,
      0.0013027695911739887,
      0.00120345037709425,
      0.0011056479175319328,
      0.0010093390570459168,
      0.0009145010207612105,
      0.0008211112422602779,
      0.0007291476374295628,
      0.0006385884733144602,
      0.0005494123593861975,
      0.0004615980995188978,
      0.0003751248635092236,
      0.00028997220704673105,
      0.000206119985003314,
      0.00012354837411934706,
      4.223783335589972e-05,
      -3.783098535410897e-05,
      -0.00011667701434476807,
      -0.00019431895895627156,
      -0.00027077524363174234,
      -0.0003460640016745095,
      -0.00042020301922462267,
      -0.0004932097350143271,
      -0.0005651015507844556,
      -0.0006358955176481767,
      -0.0007056083523346735,
      -0.0007742564773021,
      -0.0008418561996821373,
      -0.0009084235844110313,
      -0.0009739744411671684,
      -0.0010385242845738422,
      -0.0011020883123466154,
      -0.001164681662246887,
      -0.0012263191278605908,
      -0.0012870152995248442,
      -0.0013467845706842951,
      -0.001405641003563048,
      -0.0014635986006371565,
      -0.0015206710734107308,
      -0.001576871953376921,
      -0.0016322145370768852,
      -0.001686711906474397,
      -0.0017403770439137819,
      -0.0017932226542039045,
      -0.00184526129076984,
      -0.0018965052203666602,
      -0.001946966547694748,
      -0.001996657173794611,
      -0.0020455889318091707,
      -0.0020937734427225515,
      -0.0021412220909630643,
      -0.002187946113416579,
      -0.0022339566375888372,
      -0.002279264540480891,
      -0.0023238805040920805,
      -0.002367815089389016,
      -0.002411078745448353,
      -0.0024536817425038324,
      -0.002495634149145456,
      -0.0025369459097846513,
      -0.002577626743636135,
      -0.0026176863291967937,
      -0.002657134081418223
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566494059510031,
      10.335228560081932,
      10.09532304525836,
      9.849946530064777,
      9.601704295792489,
      9.35288398069386,
      9.105475293690958,
      8.8611399790656,
      8.621196876656326,
      8.386620922603369,
      8.15805868452411,
      7.935861482399154,
      7.720119639717756,
      7.510709933785647,
      7.307344592957386,
      7.109619596435592,
      6.917057254242026,
      6.729145031208667,
      6.545366531467084,
      6.36522442021597,
      6.188260266995962,
      6.014063594334631,
      5.842274006057529,
      5.672602820357705,
      5.504841689992674,
      5.338858669391514,
      5.174600106167486,
      5.012092586343629,
      4.851425017728683,
      4.692754390570946,
      4.536311968938519,
      4.382412761996257,
      4.231417648722612,
      4.083710865273582,
      3.9396869242231833,
      3.799738034474963,
      3.664240554966397,
      3.53353476978203,
      3.4079152017934065,
      3.2876241758152873,
      3.1728478040715293,
      3.0637143476261426,
      2.9602860469335406,
      2.8625530214745596,
      2.770428107388909,
      2.6837641836835364,
      2.602369375503043,
      2.5260101134080677,
      2.454433958738491,
      2.387387651454329,
      2.3246035269668663,
      2.2657797120108807,
      2.210583126849834,
      2.1586374063454556,
      2.1095774918777,
      2.063059364364821,
      2.0187696802215265,
      1.976430809095062,
      1.9358112835250105,
      1.8967187298662256,
      1.8590010907163566,
      1.8225349166391658,
      1.7872150237570146,
      1.7529489529689108,
      1.7196610431827877,
      1.6872890218554633,
      1.6557804152682531,
      1.6250900256024994,
      1.5951781498965378,
      1.5660093184348438,
      1.537551394857297,
      1.5097746098942038,
      1.4826492213695983,
      1.4561472311482015,
      1.4302435229381147,
      1.4049157374223078,
      1.380143568890765,
      1.3559087614313197,
      1.332194016278685,
      1.308982571343846,
      1.286258486935742,
      1.264008152217184,
      1.2422188942735817,
      1.220877815011156,
      1.1999733056999813,
      1.179495509639329,
      1.1594341024941848,
      1.139778392157141,
      1.1205184539398112,
      1.101644819068899,
      1.0831481911413166,
      1.0650193389981142,
      1.0472488899002683,
      1.029827506288018,
      1.0127459949255038,
      0.9959953743320662,
      0.9795669129005369,
      0.9634521496492172,
      0.9476429025525827,
      0.9321312690589094,
      0.91690962185428,
      0.9019706024537413,
      0.8873071125906606,
      0.872912304430735,
      0.8587795703650077,
      0.8449025335372237,
      0.8312750378068624,
      0.8178911378763882,
      0.8047450907584444,
      0.7918313464487426,
      0.7791445395267106,
      0.7666794810092233,
      0.7544311506675407,
      0.7423946901397285,
      0.7305653956911099,
      0.7189387115540579,
      0.7075102235815051,
      0.696275653806378,
      0.685230854413274,
      0.674371802369161,
      0.6636945943038929,
      0.6531954418653184,
      0.6428706671346872,
      0.6327166935652543,
      0.622729992879274,
      0.6129071187179063,
      0.6032447471612639,
      0.5937396634090583,
      0.5843887780439865,
      0.5751891144186141,
      0.5661377663053201,
      0.5572318964744638,
      0.5484688660850827,
      0.5398464484586336,
      0.5313623852496235,
      0.5230143369455608,
      0.5147999327178497,
      0.5067168014732457,
      0.4987625920134891,
      0.49093498508455996,
      0.48323170060759235,
      0.4756505023222332,
      0.4681891995708639,
      0.4608456482072892,
      0.4536177507004757,
      0.44650345555192755,
      0.4395007567276563,
      0.43260769260790183,
      0.4258224438007022,
      0.4191438180344757,
      0.4125707047143305,
      0.40610174483810985,
      0.39973543367292563,
      0.3934701856636753,
      0.38730437590568945,
      0.3812363667562981,
      0.3752645243428138,
      0.3693872349792181,
      0.36360312243251897,
      0.3579107032355733,
      0.35230820953432634,
      0.3467939582452626,
      0.34136635448430425,
      0.3360238707346509,
      0.3307650331147523,
      0.3255884119931315,
      0.32049265624136736,
      0.31547652355511036,
      0.3105385512897273,
      0.30567723688275017,
      0.3008911792712878,
      0.2961790545415959,
      0.29153961536262485,
      0.28697166141074365,
      0.28247401966345187,
      0.2780455420955513,
      0.273685104172757,
      0.26939160340271373,
      0.2651639585786278,
      0.26100110881126576,
      0.2569020128589814,
      0.25286564861443966,
      0.24889129706118918,
      0.24497845046553846,
      0.24112645328628662,
      0.2373345440494983,
      0.23360189690244323,
      0.22992764896542775,
      0.22631091868779316,
      0.22275081733906638,
      0.21924645687347988,
      0.21579695486075295,
      0.21240143773737022,
      0.20905904302832426,
      0.20576891915053797,
      0.20253015016848172,
      0.19934179796094023,
      0.19620298090350127,
      0.19311285891067578,
      0.19007062368303254,
      0.18707549247394695,
      0.18412670362343564,
      0.1812235134747382,
      0.17836519416591198,
      0.17555103239182618,
      0.1727803283369008,
      0.17005239495982274,
      0.1673665573556228,
      0.16472215219265743,
      0.1621185276114312,
      0.15955504260609518,
      0.15703106708919118,
      0.15454598121509633,
      0.15209917547522675,
      0.14969005044533687,
      0.14731801656053273,
      0.1449824938280591,
      0.14268291189166293,
      0.14041870962623312,
      0.13818933502009748,
      0.13599424503236437,
      0.13383290544459628,
      0.13170479069396201,
      0.12960938349645276,
      0.12754617512472285,
      0.12551466505002873,
      0.123514360857516,
      0.12154477788099885,
      0.11960543918625048,
      0.11769587555873345,
      0.11581562531264937,
      0.11396423412997835,
      0.11214125493568526,
      0.11034624764985758,
      0.10857877929348814,
      0.10683842373499125,
      0.10512476158059608,
      0.10343738011839966,
      0.10177587311297423,
      0.10013984084388947,
      0.09852889003270805,
      0.09694263331437106,
      0.09538068960668834,
      0.09384268371171454,
      0.092328246344984,
      0.09083701417202479,
      0.08936862940705567,
      0.08792273997200445,
      0.08649899926157667,
      0.08509706617233821,
      0.08371660481394391,
      0.08235728458208552,
      0.08101878014833329,
      0.07970077119176878,
      0.07840294245067587,
      0.07712498352825217,
      0.07586658882044979,
      0.07462745748654998,
      0.07340729347196524,
      0.07220580523285389,
      0.07102270585615204,
      0.06985771282371284,
      0.06871054807593231,
      0.06758093779216191,
      0.06646861232363939,
      0.06537330637059711,
      0.06429475862494452,
      0.06323271206069829,
      0.06218691335566092,
      0.06115711318290278,
      0.060143066128376305,
      0.059144530534204626,
      0.05816126854034241,
      0.05719304589550603,
      0.05623963193737543,
      0.05530079963350552,
      0.05437632553144218,
      0.05346598946414044,
      0.05256957477365519,
      0.051686868181986256,
      0.0508176596302851,
      0.04996174221914419,
      0.04911891236748325,
      0.048288969503749224,
      0.047471716274218076,
      0.04666695831805596,
      0.0458745042604835,
      0.04509416571738167,
      0.04432575717428889,
      0.043569095908236086,
      0.04282400208877053,
      0.04209029861624936,
      0.041367811120375776,
      0.04065636785113009,
      0.039955799827833725,
      0.039265940575958544,
      0.038586626124907916,
      0.037917695180047506,
      0.03725898890175367,
      0.036610350846476514,
      0.03597162691670255,
      0.03534266532642958,
      0.03472331684589748,
      0.03411343437530774,
      0.033512873042371084,
      0.032921490317656704,
      0.0323391457412644,
      0.031765701138199834,
      0.031201020384187463,
      0.03064496941494213,
      0.030097416147809107,
      0.029558230703858487,
      0.029027285084880127,
      0.028504453315839763,
      0.02798961130878351,
      0.027482636899429865,
      0.02698340973868747,
      0.026491811305473883,
      0.026007725041424356,
      0.025531036085696297,
      0.025061631373028196,
      0.024599399528382627,
      0.024144230832148686,
      0.023696017337875602,
      0.02325465272982106,
      0.022820032231346286,
      0.02239205273546073,
      0.021970612808430125,
      0.021555612435666553,
      0.021146953163138547,
      0.020744538131568572,
      0.02034827188013403,
      0.01995806044337632,
      0.019573811199435395,
      0.019195433098944753,
      0.01882283627634322,
      0.018455932499723875,
      0.018094634742202374,
      0.01773885729271527,
      0.01738851573180822,
      0.017043527039828144,
      0.01670380939884125,
      0.016369282285461494,
      0.01603986639057565,
      0.015715483543882865,
      0.015396056891029344,
      0.0150815106239978,
      0.014771770123008163,
      0.014466762020175359,
      0.014166413879989343,
      0.013870654507034409,
      0.013579413787582609,
      0.013292622669116688,
      0.013010213341432758,
      0.01273211875410114,
      0.012458272850037854,
      0.012188610866095195,
      0.011923068894445676,
      0.011661583956630956,
      0.011404093985283414,
      0.01115053802635583,
      0.010900855846856726,
      0.010654988354201316,
      0.010412877249640842,
      0.010174465117866722,
      0.009939695379622276,
      0.009708512432627672,
      0.009480861433252509,
      0.009256688386697954,
      0.009035940215056888,
      0.008818564593657544,
      0.008604509968425652,
      0.008393725614332577,
      0.008186161544509641,
      0.007981768485842533,
      0.007780498137447149,
      0.007582302751861413,
      0.007387135323306949,
      0.007194949555567522,
      0.007005699865140314,
      0.006819341469316028,
      0.006635830229448986,
      0.00645512266236912,
      0.006277175903250554,
      0.006101947741045771,
      0.005929396624416806,
      0.005759481638713111,
      0.0055921625617538955,
      0.0054273996294079575,
      0.005265153773978403,
      0.005105386636471727,
      0.0049480603713304185,
      0.0047931376696671414,
      0.004640581778268207,
      0.0044903565588896854,
      0.004342426467165928,
      0.004196756457728024,
      0.0040533119294010635,
      0.003912058735559412,
      0.0037729635463172617,
      0.003635993437827439,
      0.003501115903041099,
      0.0033682990102154317,
      0.0032375112267508696,
      0.003108721511849201,
      0.0029818993282296966,
      0.0028570146050258503,
      0.0027340378163517197,
      0.0026129397703865864,
      0.0024936917937906393,
      0.002376265619062326,
      0.00226063336265777,
      0.002146767625506621,
      0.002034641449032407,
      0.0019242282729115873,
      0.0018155018754111494,
      0.001708436493042568,
      0.0016030068019960673,
      0.0014991878825989888,
      0.0013969550767776167,
      0.0012962840312115255,
      0.00119715104708402,
      0.0010995326179501917,
      0.001003405522210577,
      0.0009087469034104675,
      0.0008155344033319259,
      0.0007237460295610014,
      0.0006333598975378417,
      0.0005443546407473062,
      0.0004567091804962107,
      0.00037040264323343026,
      0.00028541456479155847,
      0.0002017248735844549,
      0.00011931376115221029,
      3.8161667778166344e-05,
      -4.1750628793386146e-05,
      -0.00012044218426254298,
      -0.0001979315427045235,
      -0.00027423707028135727,
      -0.00034937688733961995,
      -0.00042336871046119376,
      -0.0004962301067414412,
      -0.0005679783271193021,
      -0.000638630425095128,
      -0.0007082030819534903,
      -0.0007767127868651268,
      -0.0008441758696884719,
      -0.0009106083360805042,
      -0.0009760259303832778,
      -0.0010404441336568124,
      -0.001103878205728513,
      -0.001166343193973516,
      -0.0012278539224018807,
      -0.0012884248718089883,
      -0.0013480704211454953,
      -0.001406804827558611,
      -0.0014646419643100958,
      -0.0015215954515184664,
      -0.0015776788306389694,
      -0.0016329053630591128,
      -0.0016872882095763306,
      -0.001740840150999539,
      -0.001793573943899061,
      -0.001845502147941652,
      -0.001896637067035194,
      -0.0019469908168318795,
      -0.001996575346686023,
      -0.002045402346786592,
      -0.002093483421313735,
      -0.002140829930111843,
      -0.0021874531544994517,
      -0.002233364055166768,
      -0.002278573537936023,
      -0.0023230923437534967,
      -0.002366931090859571,
      -0.0024101000496718787,
      -0.002452609462948629,
      -0.0024944694262984506,
      -0.0025356899028710373,
      -0.0025762805460311533,
      -0.002616251100094657,
      -0.002655611050286612
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33522433015749,
      10.095308916425509,
      9.849916855133118,
      9.601655017889554,
      9.352812312240996,
      9.105379454301854,
      8.861018959986012,
      8.621050229136475,
      8.386448748434468,
      8.15786151750781,
      7.93563960131605,
      7.719873277301439,
      7.5104393151184645,
      7.307049894425093,
      7.109300933288011,
      6.916714809374359,
      6.728779034052952,
      6.544977226351718,
      6.3648121566099585,
      6.187825504552491,
      6.013607022317866,
      5.841796542947672,
      5.6721055676027206,
      5.504325990387328,
      5.338326102429923,
      5.17405248766026,
      5.011531909870686,
      4.850853450663584,
      4.692174424518325,
      4.535726601502029,
      4.381825567252932,
      4.2308321671724896,
      4.083130598234242,
      3.9391152730674905,
      3.79917838117489,
      3.6636960850932616,
      3.533008331495013,
      3.4074092649636087,
      3.2871408033925826,
      3.1723886372678414,
      3.0632806047430186,
      2.959878399529026,
      2.8621715971284694,
      2.770072455763515,
      2.6834333272118647,
      2.6020616976034816,
      2.525723728671478,
      2.4541668987469105,
      2.3871378330409505,
      2.3243687325645332,
      2.2655576391821635,
      2.2103712085271288,
      2.1584329899138295,
      2.109378210948356,
      2.062863105633046,
      2.0185745318671646,
      1.9762352284738152,
      1.9356141130403726,
      1.8965191288865766,
      1.858798460994743,
      1.8223288356133995,
      1.78700516700506,
      1.7527350990114032,
      1.719443065288902,
      1.6870668602479095,
      1.6555540574640413,
      1.6248594917801933,
      1.5949434831143698,
      1.5657705773255706,
      1.5373086483007257,
      1.509527949897196,
      1.4823987571321118,
      1.4558930490031503,
      1.4299857201409862,
      1.4046544264414025,
      1.3798788594718034,
      1.3556407673831743,
      1.3319228388565183,
      1.3087083034716969,
      1.2859812909045716,
      1.2637282926076947,
      1.2419365693709574,
      1.220593179190106,
      1.1996866871412295,
      1.1792072309243717,
      1.1591443936192707,
      1.1394874320565438,
      1.1202263956990135,
      1.1013517840355682,
      1.0828542836669464,
      1.0647246428963473,
      1.0469534746980922,
      1.0295314317758053,
      1.0124493147231484,
      0.9956981373053948,
      0.9792691648701607,
      0.9631539342253465,
      0.9473442612989239,
      0.9318322424108867,
      0.9166102495711336,
      0.9016709236057571,
      0.8870071653867259,
      0.8726121263935993,
      0.8584791984484719,
      0.8446020040830244,
      0.8309743866464147,
      0.8175904006283472,
      0.8044443024074337,
      0.791530541526488,
      0.7788437517769412,
      0.7663787435529584,
      0.7541304964656572,
      0.742094151507495,
      0.7302650043897916,
      0.7186384987223298,
      0.7072102199132968,
      0.6959758894665474,
      0.6849313591498033,
      0.6740726053123497,
      0.6633957239106478,
      0.6528969264409468,
      0.642572534076048,
      0.6324189690792235,
      0.6224327016147422,
      0.6126102856268012,
      0.6029483970904927,
      0.5934438237130237,
      0.5840934847905114,
      0.5748944008562372,
      0.5658436618531715,
      0.5569384278816538,
      0.5481761441858154,
      0.539554587281656,
      0.5310714638050085,
      0.52272441152934,
      0.5145110445581922,
      0.5064289819822683,
      0.49847586578811465,
      0.4906493720153732,
      0.48294721778880134,
      0.47536716459878386,
      0.4679070202518817,
      0.4605646395656362,
      0.45333792413373397,
      0.4462248220162908,
      0.43922332665663844,
      0.4323314756728121,
      0.4255474968317139,
      0.4188702617953435,
      0.4122986170109954,
      0.40583117616957853,
      0.39946641673829353,
      0.3932027415721291,
      0.38703851812806067,
      0.38097210374833257,
      0.3750018612564012,
      0.36912618873547604,
      0.36334372710747365,
      0.35765306153649407,
      0.3520524208516053,
      0.3465400850568998,
      0.341114434986279,
      0.3357739275133386,
      0.33051707841381045,
      0.325342451158735,
      0.3202487023851663,
      0.31523458805815346,
      0.31029863993859197,
      0.3054393508380019,
      0.30065531638581383,
      0.2959452115415267,
      0.2913077885086669,
      0.28674184522109164,
      0.2822462075235871,
      0.27781972664560195,
      0.27346127746062804,
      0.2691697571224342,
      0.26494408419037724,
      0.2607831975955968,
      0.2566860558024592,
      0.2526516366238777,
      0.24867923845092718,
      0.24476835451559278,
      0.24091832230698446,
      0.23712837570573062,
      0.23339768579387143,
      0.2297253877614258,
      0.22611059848997778,
      0.2225524283295499,
      0.21904998848732327,
      0.21560239614525734,
      0.21220877754338863,
      0.2088682698178927,
      0.20558001907286247,
      0.20234310645842155,
      0.19915659557006923,
      0.1960196058934755,
      0.1929312980412918,
      0.1898908643708388,
      0.18689752252351977,
      0.1839505108957935,
      0.18104908591114227,
      0.17819251997679925,
      0.17538009985134212,
      0.17261112572342507,
      0.16988491048299117,
      0.16720077923511958,
      0.1645580687871473,
      0.1619561271468547,
      0.15939431328440287,
      0.15687199700540908,
      0.154388558515421,
      0.15194338845100464,
      0.14953588728352168,
      0.14716546547510898,
      0.14483154307661436,
      0.14253354963212092,
      0.14027092398316912,
      0.13804311427768864,
      0.1358495774011365,
      0.13368977906946652,
      0.13156319363591057,
      0.12946930412719712,
      0.12740760186051045,
      0.12537758618724787,
      0.12337876458554192,
      0.12141065261883788,
      0.11947277337222628,
      0.11756465757417811,
      0.1156858437229984,
      0.11383587732805259,
      0.11201431117234822,
      0.11022070545191041,
      0.10845462721406905,
      0.10671565033985274,
      0.10500335554199773,
      0.10331733008662272,
      0.10165716781018647,
      0.10002246900540317,
      0.09841284025906466,
      0.0968278943617209,
      0.09526725021291747,
      0.09373053273457041,
      0.09221737273474345,
      0.09072740688062123,
      0.08926027749472036,
      0.08781563247221627,
      0.08639312517608921,
      0.0849924145362157,
      0.08361316485568533,
      0.08225504569370069,
      0.08091773162061322,
      0.07960090234019335,
      0.07830424265877763,
      0.07702744226860965,
      0.0757701957238146,
      0.07453220217622254,
      0.07331316552178994,
      0.07211279431923817,
      0.07093080172905496,
      0.06976690526508689,
      0.06862082676907233,
      0.0674922926041997,
      0.06638103322286602,
      0.06528678333781038,
      0.0642092817872444,
      0.06314827140921904,
      0.062103499092704864,
      0.061074715665567665,
      0.06006167565385129,
      0.05906413751608866,
      0.05808186344667567,
      0.05711461914253433,
      0.056162174100932945,
      0.055224301400474685,
      0.05430077751459734,
      0.05339138242390379,
      0.05249589950633206,
      0.051614115503655876,
      0.05074582037324903,
      0.04989080746406716,
      0.04904887314817448,
      0.048219816957334044,
      0.04740344152102045,
      0.04659955252597694,
      0.0458079588019148,
      0.04502847197678249,
      0.044260906553285365,
      0.04350507992908736,
      0.04276081227880466,
      0.04202792659617357,
      0.041306248546251645,
      0.040595606573033405,
      0.03989583166743745,
      0.03920675747623423,
      0.0385282201885767,
      0.03786005849300935,
      0.03720211355331445,
      0.036554228822080155,
      0.03591625038491104,
      0.035288026605349014,
      0.034669408182544846,
      0.03406024804589184,
      0.03346040155117023,
      0.0328697261515789,
      0.03228808151880201,
      0.03171532948525492,
      0.03115133394358357,
      0.030595960957598655,
      0.03004907862100466,
      0.029510557038315108,
      0.028980268269053724,
      0.02845808629852776,
      0.027943887156183123,
      0.027437548723538374,
      0.02693895075308934,
      0.026447974773483846,
      0.02596450430695804,
      0.025488424553664617,
      0.025019622451736636,
      0.02455798662927873,
      0.024103407477781648,
      0.02365577715561436,
      0.02321498933148546,
      0.022780939328142704,
      0.022353524259762458,
      0.021932642584719816,
      0.021518194293139507,
      0.021110081069018058,
      0.020708206064153564,
      0.02031247387518912,
      0.019922790570832443,
      0.019539063686432257,
      0.019161202052741928,
      0.018789116017703705,
      0.018422717285998796,
      0.01806191897397033,
      0.017706635402779388,
      0.017356782188903516,
      0.017012276326925656,
      0.016673036137858286,
      0.0163389810760797,
      0.0160100319037403,
      0.01568611060278681,
      0.015367140291605604,
      0.01505304532465613,
      0.014743751084752782,
      0.014439184225091422,
      0.014139272407080574,
      0.013843944474642218,
      0.01355313037241845,
      0.013266761119234803,
      0.012984768779450607,
      0.01270708645084422,
      0.012433648199458055,
      0.012164389138161924,
      0.011899245414106,
      0.011638154059784247,
      0.011381053095964874,
      0.011127881530493974,
      0.01087857936707666,
      0.010633087548005392,
      0.010391347836977524,
      0.010153302775135941,
      0.009918895881976031,
      0.009688071649982106,
      0.009460775282307958,
      0.009236952833969157,
      0.009016551165738317,
      0.00879951802810478,
      0.008585801888190117,
      0.008375352077506941,
      0.008168118764708403,
      0.007964052664711799,
      0.007763105405170482,
      0.00756522929832956,
      0.007370377408562592,
      0.007178503450734421,
      0.0069895619331138015,
      0.006803507991389984,
      0.006620297581658465,
      0.006439887263004138,
      0.006262234262543715,
      0.006087296409178997,
      0.005915032197156702,
      0.005745400731325577,
      0.005578361776491607,
      0.00541387575225255,
      0.005251903615809326,
      0.0050924069249644105,
      0.0049353478589891425,
      0.00478068914026727,
      0.0046283940850021,
      0.004478426592888264,
      0.004330751056399314,
      0.004185332526308184,
      0.004042136434415352,
      0.0039011288270815216,
      0.0037622763016788383,
      0.003625545856562191,
      0.0034909050349857047,
      0.0033583219312178073,
      0.003227765084505895,
      0.0030992036291265864,
      0.002972607039269286,
      0.0028479452065888586,
      0.002725188557927259,
      0.0026043080532235003,
      0.0024852750462570333,
      0.002368061165651808,
      0.0022526387189138065,
      0.002138980271911749,
      0.0020270587893241017,
      0.0019168478974679714,
      0.0018083213671417817,
      0.001701453468936823,
      0.001596218859368962,
      0.0014925925639423317,
      0.0013905500319982076,
      0.0012900669894124746,
      0.0011911195593881845,
      0.0010936843724369601,
      0.0009977383855395688,
      0.0009032588363683152,
      0.0008102232426662818,
      0.0007186095242626504,
      0.000628395960709318,
      0.0005395610868466405,
      0.000452083767725085,
      0.0003659433064162377,
      0.00028111933097525385,
      0.00019759182259046352,
      0.00011534085885651334,
      3.434690456708314e-05,
      -4.540925873520378e-05,
      -0.00012394646810175158,
      -0.00020128345682314297,
      -0.00027743858438215277,
      -0.0003524297431898846,
      -0.00042627482335593446,
      -0.000498991260926139,
      -0.0005705963166720916,
      -0.0006411070482263071,
      -0.0007105401670875598,
      -0.0007789121743241447,
      -0.0008462392407906172,
      -0.0009125374107013479,
      -0.0009778223845453122,
      -0.0010421095427464958,
      -0.0011054142285474005,
      -0.0011677514328883862,
      -0.001229135917056332,
      -0.0012895822705100328,
      -0.0013491048091646674,
      -0.001407717650784103,
      -0.0014654346939366658,
      -0.0015222695834145959,
      -0.0015782358975951587,
      -0.0016333468644856785,
      -0.0016876155281985745,
      -0.001741054806621353,
      -0.001793677319249721,
      -0.0018454955705577254,
      -0.001896521897173197,
      -0.0019467683891774246,
      -0.0019962469247324565,
      -0.0020449693312409637,
      -0.0020929470883332413,
      -0.0021401917166275907,
      -0.00218671428184212,
      -0.002232525769329326,
      -0.0022776371143668605,
      -0.0023220590161232043,
      -0.002365802094196043,
      -0.0024088766754986465,
      -0.0024512929304236126,
      -0.0024930609323579535,
      -0.002534190595109754,
      -0.00257469169261439,
      -0.0026145737829676398,
      -0.002653846271296631
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335220847181398,
      10.095295877036165,
      9.849888518151834,
      9.601607286092928,
      9.3527423641867,
      9.105285482167416,
      8.860899923354607,
      8.620905654107107,
      8.386278678616328,
      8.157666441467018,
      7.935419794474264,
      7.719628973568361,
      7.510170743083279,
      7.306757236203318,
      7.108984308599298,
      6.916374414574101,
      6.728415100825208,
      6.544590001740733,
      6.364401994849586,
      6.187392868813988,
      6.013152605699935,
      5.841321266839015,
      5.671610535163006,
      5.5038125463372305,
      5.337795825798342,
      5.1735071938951736,
      5.0109735924635785,
      4.850284279963377,
      4.691596892547593,
      4.535143698638919,
      4.381240858647456,
      4.230249183298791,
      4.082552829437031,
      3.9385461102279136,
      3.7986211940678096,
      3.6631540479212905,
      3.5324842814848734,
      3.406905662026449,
      3.2866597020246537,
      3.171931671537595,
      3.062848986290503,
      2.959472795522229,
      2.861792132644829,
      2.7697186798890385,
      2.6831042632277935,
      2.6017557299594936,
      2.5254389733854317,
      2.45390138906589,
      2.386889488520966,
      2.32413533921482,
      2.2653368996082706,
      2.2101605619518634,
      2.1582297905049534,
      2.109180099207414,
      2.062667968016992,
      2.0183804577555913,
      1.976040684806114,
      1.9354179495802246,
      1.8963205110023431,
      1.858596794600522,
      1.8221237013182565,
      1.7867962432680669,
      1.7525221667051465,
      1.7192259993950618,
      1.6868456018010192,
      1.6553285945986622,
      1.624629845754452,
      1.59470969770944,
      1.5655327118924223,
      1.5370667726831555,
      1.509282156087674,
      1.4821491546570549,
      1.4556397239951042,
      1.4297287695829115,
      1.404393963165881,
      1.3796149938671096,
      1.3553736134136303,
      1.3316524985116132,
      1.3084348698677022,
      1.2857049269470837,
      1.2634492629467045,
      1.2416550725259827,
      1.2203093697814786,
      1.199400893655844,
      1.17891977544477,
      1.1588555058025212,
      1.1391972908584451,
      1.1199351533650885,
      1.101059562142746,
      1.0825611864898226,
      1.0644307541178857,
      1.046658864117153,
      1.0292361593474117,
      1.0121534335127123,
      0.9954016962758239,
      0.9789722097757225,
      0.9628565088515247,
      0.9470464079817562,
      0.9315340021411275,
      0.916311662344723,
      0.9013720285630968,
      0.886708000944554,
      0.8723127299109007,
      0.8581796069019109,
      0.8443022540225645,
      0.830674514194991,
      0.8172904411176537,
      0.804144290870861,
      0.7912305121164166,
      0.7785437383433128,
      0.7660787798082639,
      0.7538306151251645,
      0.7417943847184,
      0.7299653839230483,
      0.7183390560053279,
      0.7069109856984462,
      0.6956768938744562,
      0.6846326314491709,
      0.6737741745568976,
      0.6630976187808103,
      0.6525991746457392,
      0.6422751631204999,
      0.6321220052446103,
      0.6221361697431637,
      0.6123142106515728,
      0.6026528039068715,
      0.5931487425371836,
      0.583798952745743,
      0.5746004498321597,
      0.5655503201110902,
      0.5566457211583432,
      0.5478841834118918,
      0.5392634869020865,
      0.5307813030328716,
      0.5224352466503305,
      0.5142229168313536,
      0.5061419224589127,
      0.4981898988709746,
      0.49036451794760083,
      0.48266349352147386,
      0.4750845849991153,
      0.46762559873954096,
      0.46028438851085735,
      0.4530588550694691,
      0.44594694561365034,
      0.43894665304970354,
      0.4320560146755633,
      0.4252733090918497,
      0.4185974665462316,
      0.4120272909286185,
      0.40556136891612166,
      0.39919816064416264,
      0.3929360573601682,
      0.3867734190675022,
      0.3807085981751764,
      0.3747399544115885,
      0.36886589732873426,
      0.36308508480377916,
      0.3573961532235196,
      0.351797352715972,
      0.3462869238474115,
      0.34086322183604173,
      0.3355246866480854,
      0.3302698229203356,
      0.32509718710767727,
      0.32000544324161345,
      0.31499334555572095,
      0.31005942033114525,
      0.30520215537348594,
      0.3004201430444255,
      0.2957120569497467,
      0.2910766489564905,
      0.28651271537156997,
      0.2820190809474439,
      0.27759459596688324,
      0.27323813475157005,
      0.2689485942305706,
      0.2647248925539022,
      0.26056596839873686,
      0.25647078016648356,
      0.25243830577031734,
      0.2484678606690973,
      0.24455893875771004,
      0.24071087076070255,
      0.23692288597784963,
      0.23319415237584418,
      0.22952380309987633,
      0.22591095361574373,
      0.2223547132634844,
      0.21885419275574866,
      0.21540850883426654,
      0.2120167872863774,
      0.20867816514938695,
      0.20539178611002398,
      0.20215672833805387,
      0.19897205733337567,
      0.19583689359968462,
      0.192750398559328,
      0.18971176510918902,
      0.18672021116151763,
      0.1837749753821542,
      0.18087531424633968,
      0.17802050018568305,
      0.1752098201588042,
      0.1724425742971653,
      0.16971807555758134,
      0.16703564906969162,
      0.1643946315210672,
      0.1617943708959519,
      0.15923422624286235,
      0.15671356747105775,
      0.1542317746793656,
      0.15178823841543346,
      0.14938235926964766,
      0.14701354767435756,
      0.14468122371791378,
      0.1423848169406982,
      0.1401237662533199,
      0.13789751961439367,
      0.1357055340335169,
      0.13354727532047386,
      0.13142221785384078,
      0.12932984457251978,
      0.1272696467573441,
      0.12524112386345843,
      0.12324378335834772,
      0.12127714074379653,
      0.11934071915072422,
      0.11743404939720951,
      0.1155566698030099,
      0.11370812613634414,
      0.11188797137449612,
      0.1100957655511289,
      0.10833107570904255,
      0.10659347579941116,
      0.10488254643821092,
      0.10319787507900952,
      0.10153905564232046,
      0.09990568838272704,
      0.09829737992339661,
      0.09671374316593188,
      0.0951543969921225,
      0.09361896639976132,
      0.09210708222668998,
      0.09061838113014031,
      0.08915250551613452,
      0.08770910325348989,
      0.08628782782672931,
      0.0848883382313617,
      0.08351029881570707,
      0.08215337913212646,
      0.08081725383470383,
      0.07950160271924284,
      0.07820611052086057,
      0.07693046699597911,
      0.07567436675224908,
      0.07443750902559956,
      0.07321959778879286,
      0.07202034170857832,
      0.0708394539321074,
      0.0696766520582838,
      0.0685316581375988,
      0.0674041984404403,
      0.06629400357771326,
      0.06520080826551185,
      0.06412435135238581,
      0.06306437576359723,
      0.06202062840629913,
      0.06099286007970425,
      0.05998082546327606,
      0.05898428299841557,
      0.0580029949367427,
      0.05703672718305491,
      0.056085249307914524,
      0.055148334427513844,
      0.05422575910602359,
      0.0533173034559257,
      0.05242275077696858,
      0.05154188786616787,
      0.05067450467250515,
      0.049820394688922354,
      0.048979354361879834,
      0.04815118327254548,
      0.04733568406894846,
      0.04653266261633671,
      0.04574192775880983,
      0.04496329121992121,
      0.04419656751383623,
      0.0434415741089193,
      0.04269813137356938,
      0.04196606222774119,
      0.04124519249440782,
      0.0405353505463278,
      0.03983636742074924,
      0.03914807684221223,
      0.03847031508434145,
      0.03780292086647459,
      0.03714573545682318,
      0.036498602489799276,
      0.035861367992818485,
      0.03523388046338096,
      0.034615990657003916,
      0.03400755162847705,
      0.03340841872796592,
      0.03281844940553117,
      0.03223750339599966,
      0.03166544258491163,
      0.031102131143706812,
      0.030547435050152116,
      0.030001222309260864,
      0.02946336315646796,
      0.02893372971616471,
      0.02841219610623032,
      0.027898638385133415,
      0.027392934500027194,
      0.026894964286707727,
      0.0264046094706086,
      0.025921753452406153,
      0.02544628140530172,
      0.024978080411368883,
      0.024517039223227153,
      0.02406304834424308,
      0.02361599993083237,
      0.023175787593110023,
      0.02274230682456513,
      0.022315454713830986,
      0.02189512973910597,
      0.021481232181920558,
      0.021073663687181124,
      0.020672327387126963,
      0.020277127968944236,
      0.019887971555830438,
      0.019504765810117855,
      0.019127419711494755,
      0.018755843575910033,
      0.018389949124015665,
      0.01802964938338468,
      0.01767485874847788,
      0.0173254929824238,
      0.016981469224080396,
      0.016642705669607207,
      0.01630912192011911,
      0.015980638729686955,
      0.015657178146783968,
      0.015338663399348813,
      0.015025018753045878,
      0.014716169678655883,
      0.01441204296709565,
      0.014112566340332146,
      0.013817668683786687,
      0.01352727998965568,
      0.013241331254258944,
      0.012959754665763844,
      0.0126824832869987,
      0.012409451295615926,
      0.012140593929764857,
      0.011875847208255637,
      0.011615148335078746,
      0.011358435472117425,
      0.011105647674792885,
      0.010856724861152639,
      0.010611607973272878,
      0.010370238719879105,
      0.010132559785825774,
      0.009898514861932104,
      0.009668048322107718,
      0.009441105456716793,
      0.009217632448980913,
      0.008997576271786274,
      0.00878088467694835,
      0.00856750609199526,
      0.008357389875834858,
      0.008150486069014527,
      0.007946745617606249,
      0.007746120174459805,
      0.007548562195632951,
      0.007354024747446706,
      0.007162461602422468,
      0.0069738272803165,
      0.0067880769967615575,
      0.006605166646801352,
      0.006425052797119149,
      0.0062476927189792425,
      0.006073044341659395,
      0.005901066246208167,
      0.005731717541158386,
      0.005564958000964335,
      0.00540074801614447,
      0.0052390486352610925,
      0.0050798214500124474,
      0.0049230286799671445,
      0.004768633106898277,
      0.004616598062261666,
      0.004466887480601326,
      0.004319465815152515,
      0.004174298108256054,
      0.0040313499177303865,
      0.0038905872198985235,
      0.003751976549499842,
      0.0036154852436837506,
      0.003481080855799873,
      0.0033487313079284824,
      0.003218405133843329,
      0.003090071489197166,
      0.002963699871598725,
      0.002839260407820465,
      0.002716723621633892,
      0.0025960602293076318,
      0.002477241610030556,
      0.0023602395217076546,
      0.0022450262446157185,
      0.0021315744533556918,
      0.002019857217787618,
      0.0019098480182714126,
      0.0018015206732319904,
      0.0016948495101328767,
      0.0015898091816684153,
      0.0014863747127795935,
      0.0013845217207687798,
      0.0012842261030242188,
      0.001185463910798991,
      0.001088211681215486,
      0.0009924463581610587,
      0.0008981450743025454,
      0.0008052854748516663,
      0.0007138456042710191,
      0.000623803705755962,
      0.0005351384666043867,
      0.0004478288517855084,
      0.0003618541230233717,
      0.00027719382752820255,
      0.00019382798479093406,
      0.00011173667730437527,
      3.090051321957073e-05,
      -4.8699691667532564e-05,
      -0.00012708295725329954,
      -0.00020426785134728282,
      -0.0002802726452747484,
      -0.0003551154554730236,
      -0.0004288140602391238,
      -0.0005013858930488346,
      -0.0005728482258125315,
      -0.000643217969288832,
      -0.0007125117522142289,
      -0.0007807460311918533,
      -0.0008479370343161531,
      -0.000914100869451862,
      -0.000979253282246087,
      -0.0010434097306517539,
      -0.0011065853310154622,
      -0.001168795006453929,
      -0.0012300535265240436,
      -0.0012903754122455477,
      -0.0013497750253301727,
      -0.0014082665033218012,
      -0.0014658637134919545,
      -0.0015225803327769626,
      -0.001578429742414114,
      -0.0016334252966934465,
      -0.0016875801464037643,
      -0.0017409070168776198,
      -0.0017934186143964276,
      -0.0018451272941764664,
      -0.0018960454270973953,
      -0.0019461850473502995,
      -0.0019955581478763736,
      -0.0020441762821578014,
      -0.0020920510802665184,
      -0.0021391939192207683,
      -0.0021856160632065785,
      -0.0022313284340529263,
      -0.0022763418513791177,
      -0.002320667056176859,
      -0.00236431453636909,
      -0.0024072948356800594,
      -0.0024496180222298566,
      -0.002491294173049501,
      -0.0025323331466349467,
      -0.002572744659868872,
      -0.002612538396210926,
      -0.0026517237447033146
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33521737051119,
      10.095282856140399,
      9.849860213116404,
      9.601559603534337,
      9.352672484625096,
      9.105191596012125,
      8.860780992198839,
      8.620761204284173,
      8.386108704000257,
      8.157471394601234,
      7.9351999639200885,
      7.719384603499588,
      7.50990206949832,
      7.306464448521509,
      7.108667534204481,
      6.9160338589041075,
      6.728051003488382,
      6.544202616586532,
      6.363991681027867,
      6.186960094754341,
      6.012698068409093,
      5.840845891282552,
      5.671115428902898,
      5.503299056442809,
      5.337265532454301,
      5.172961914266998,
      5.010415296889348,
      4.849715154631765,
      4.691019442354335,
      4.534560913832275,
      4.380656303260739,
      4.229666386431349,
      4.0819752804384954,
      3.9379771974751283,
      3.7980642855229436,
      3.662612315325258,
      3.5319605590614205,
      3.4064024057589397,
      3.286178962207708,
      3.171475078021292,
      3.062417746233313,
      2.9590675718124237,
      2.861413047253396,
      2.7693652794554753,
      2.682775568976075,
      2.6014501241906314,
      2.5251545703556455,
      2.4536362212189196,
      2.3866414744045534,
      2.3239022644652767,
      2.265116467319657,
      2.209950212468265,
      2.158026879434693,
      2.1089822698271172,
      2.0624731093696536,
      2.0181866597670894,
      1.9758464145003967,
      1.9352220582467352,
      1.8961221650387812,
      1.858395400755556,
      1.82191884111753,
      1.7865875955063286,
      1.752309512771137,
      1.7190092143052305,
      1.6866246280243657,
      1.6551034210180042,
      1.6244004935370313,
      1.594476210622376,
      1.5652951496040772,
      1.5368252048727546,
      1.5090366744067172,
      1.481899868572686,
      1.4553867197609134,
      1.429472144178315,
      1.4041338296010422,
      1.3793514622280116,
      1.355106797645813,
      1.3313825002079842,
      1.308161782031735,
      1.2854289120447935,
      1.263170585980361,
      1.2413739327026183,
      1.2200259219312357,
      1.1991154660495134,
      1.1786326895230044,
      1.1585669911208636,
      1.1389075263034816,
      1.1196442910943651,
      1.100767723218928,
      1.082268475314804,
      1.0641372540247238,
      1.0463646445856563,
      1.0289412804500613,
      1.0118579488183903,
      0.9951056544671225,
      0.9786756569163411,
      0.9625594885578924,
      0.9467489623485565,
      0.9312361719465722,
      0.9160134873496162,
      0.9010735474965009,
      0.8864092519902074,
      0.8720137508305094,
      0.8578804347952078,
      0.8440029254356487,
      0.8303750649160621,
      0.8169909066262723,
      0.8038447058128091,
      0.7909309107881822,
      0.7782441544569622,
      0.7657792464007612,
      0.7535311649433891,
      0.7414950500625598,
      0.7296661965592822,
      0.7180400470702114,
      0.7066121860031508,
      0.695378333285509,
      0.6843343396345583,
      0.6734761804787411,
      0.6627999511726174,
      0.6523018615669991,
      0.6419782320377974,
      0.6318254825459647,
      0.6218400801407589,
      0.6120185790164624,
      0.6023576549871743,
      0.5928541089885792,
      0.583504870616648,
      0.5743069503396395,
      0.565257431217321,
      0.5563535024463009,
      0.5475927610505212,
      0.5389729570993986,
      0.5304917334998366,
      0.5221466861970011,
      0.5139354015121503,
      0.5058554801194906,
      0.49790455198418454,
      0.49008028502731643,
      0.48238039061999854,
      0.47480262650465915,
      0.46734479765447706,
      0.4600047568228695,
      0.45278040408877473,
      0.4456696861768381,
      0.43867059533559005,
      0.43178116829486407,
      0.42499977402409284,
      0.4183253465181815,
      0.4117566533957218,
      0.40529225765955734,
      0.398930603828819,
      0.39267007319348113,
      0.3865090193329749,
      0.3804457903404069,
      0.3744787429283595,
      0.3686062983211617,
      0.36282713195964084,
      0.3571399097890028,
      0.35154293296337147,
      0.34603439942155007,
      0.34061263706451467,
      0.33527606787118047,
      0.33002318487823873,
      0.3248525368394319,
      0.319762794893684,
      0.31475271143658456,
      0.3098208070247689,
      0.30496556418879234,
      0.30018557189366163,
      0.29547950251630634,
      0.29084610755933926,
      0.2862841816372476,
      0.28179254813983856,
      0.27737005688282856,
      0.2730155816197405,
      0.2687280187592223,
      0.26450628620355415,
      0.2603493223214188,
      0.25625608531988237,
      0.2522255619175987,
      0.24825708019424955,
      0.24435012612668744,
      0.24050402518890465,
      0.23671800306822366,
      0.2329912254494408,
      0.22932282376572122,
      0.22571191239655583,
      0.22215759983423053,
      0.21865899629220187,
      0.21521521806566887,
      0.21182539082535576,
      0.2084886514128398,
      0.20520414133108297,
      0.201970935685112,
      0.19878810166763966,
      0.19565476104619764,
      0.19257007604397577,
      0.1895332401782392,
      0.18654347154769219,
      0.18360000888880404,
      0.18070210888541766,
      0.17784904406138585,
      0.17504010142701967,
      0.17227458123257028,
      0.16955179632151493,
      0.16687107181411617,
      0.16423174442806507,
      0.16163316226137972,
      0.15907468427344257,
      0.1565556803923861,
      0.15407553078604283,
      0.151633625949421,
      0.1492293663739363,
      0.1468621625877584,
      0.14453143463220303,
      0.14223661205471985,
      0.13997713371841045,
      0.13775244771459877,
      0.13556201095845066,
      0.13340528921768305,
      0.13128175703972714,
      0.12919089726606037,
      0.12713220125885047,
      0.1251051684911742,
      0.1231093064677766,
      0.1211441306765903,
      0.11920916434257069,
      0.11730393832644134,
      0.11542799095862988,
      0.11358086785191633,
      0.11176212207477175,
      0.1099713137886482,
      0.10820801002948119,
      0.10647178474656296,
      0.10476221869861636,
      0.10307889931547572,
      0.101421420447763,
      0.09978938248806256,
      0.09818239209414187,
      0.09660006211764977,
      0.09504201155385725,
      0.09350786543590928,
      0.0919972546287233,
      0.09050981591030878,
      0.08904519160225605,
      0.08760302976695139,
      0.0861829839187277,
      0.08478471311669518,
      0.08340788171105197,
      0.08205215926409053,
      0.08071722042566205,
      0.07940274513543363,
      0.07810841824564133,
      0.07683392945736935,
      0.07557897340452652,
      0.07434324944365919,
      0.07312646168979707,
      0.07192831877366913,
      0.07074853392675735,
      0.06958682483836201,
      0.0684429134524095,
      0.06731652621542146,
      0.06620739369201438,
      0.06511525070137107,
      0.06403983624016582,
      0.06298089328394958,
      0.06193816877203487,
      0.060911413581344706,
      0.05990038242896621,
      0.05890483386850253,
      0.05792453018922912,
      0.056959237421472145,
      0.056008725136371056,
      0.055072766373434695,
      0.0541511377971644,
      0.053243619593750034,
      0.05234999517766399,
      0.05147005134888422,
      0.050603578281868976,
      0.04975036936794613,
      0.048910221178103064,
      0.048082933485429136,
      0.047268309022970814,
      0.04646615362180377,
      0.04567627613172727,
      0.0448984882769873,
      0.04413260458342519,
      0.04337844269813863,
      0.04263582293485606,
      0.04190456842173541,
      0.04118450493168438,
      0.04047546104141215,
      0.039777267868002314,
      0.03908975917191076,
      0.038412771202567586,
      0.03774614289729346,
      0.037089715454112535,
      0.03644333263872733,
      0.035806840636531154,
      0.03518008793992114,
      0.03456292523444699,
      0.033955205722878495,
      0.033356784734039725,
      0.032767519835660786,
      0.032187270889166765,
      0.03161589992899858,
      0.03105327097387166,
      0.030499250138148817,
      0.02995370554168314,
      0.029416507360748766,
      0.028887527855209143,
      0.028366641238314994,
      0.027853723636758643,
      0.02734865307725065,
      0.026851309423331218,
      0.02636157435709566,
      0.025879331285691667,
      0.02540446556586615,
      0.024936864335420146,
      0.024476416440879077,
      0.024023012447772985,
      0.02357654451146902,
      0.02313690641952397,
      0.022703993729465338,
      0.0222777034681942,
      0.02185793427580426,
      0.021444586298448063,
      0.021037561291851994,
      0.0206367625610985,
      0.020242094796649575,
      0.01985346421006208,
      0.01947077843379588,
      0.019093946477418872,
      0.01872287870845569,
      0.018357486889244427,
      0.01799768416202946,
      0.01764338511572271,
      0.01729450549581968,
      0.016950962478646844,
      0.01661267441023014,
      0.01627956074086816,
      0.015951542370981446,
      0.015628541411087115,
      0.015310481029002442,
      0.014997285613182153,
      0.014688880845258968,
      0.014385193370471108,
      0.014086150999904836,
      0.013791682688270007,
      0.013501718478005048,
      0.01321618946672578,
      0.012935027791356527,
      0.012658166616486792,
      0.012385540082368245,
      0.012117083434544065,
      0.011852733011551925,
      0.011592425944337858,
      0.011336100316914103,
      0.011083695267038415,
      0.010835150755296029,
      0.010590407778914042,
      0.010349408222914445,
      0.01011209476666764,
      0.009878410989773113,
      0.00964830140514592,
      0.009421711413083473,
      0.00919858715701561,
      0.008978875554043649,
      0.00876252436634597,
      0.008549482282667572,
      0.008339698659659714,
      0.008133123609344813,
      0.007929708198051834,
      0.0077294040759160465,
      0.007532163662711307,
      0.00733794005643763,
      0.00714668707200158,
      0.0069583592953134585,
      0.00677291189880473,
      0.006590300923231938,
      0.006410482933661737,
      0.006233415211580295,
      0.006059055688915425,
      0.005887362961231186,
      0.005718296226685196,
      0.005551815374304177,
      0.005387880864662907,
      0.005226453669947427,
      0.005067495400877147,
      0.004910968353098333,
      0.004756835270192708,
      0.004605059591799315,
      0.004455605240147202,
      0.004308436783864882,
      0.004163519324264405,
      0.0040208183456467185,
      0.0038802998724715397,
      0.003741930584105559,
      0.003605677569417097,
      0.0034715084711807935,
      0.003339391422784186,
      0.0032092950884134892,
      0.0030811885591103556,
      0.0029550414094413964,
      0.0028308236734426147,
      0.0027085058102869794,
      0.00258805867703957,
      0.002469453687581991,
      0.002352662783360788,
      0.0022376581385657873,
      0.0021244123500443117,
      0.0020128986285032234,
      0.0019030904835331828,
      0.00179496177233278,
      0.001688486915103929,
      0.0015836405338322604,
      0.0014803977724940464,
      0.0013787341166768413,
      0.0012786252911113536,
      0.0011800476097176427,
      0.001082977697985303,
      0.0009873923757821672,
      0.0008932689481654791,
      0.0008005850270125428,
      0.0007093186913736569,
      0.0006194482360313692,
      0.0005309523343503178,
      0.0004438099418148791,
      0.0003580004359468212,
      0.00027350337652198387,
      0.00019029859050389577,
      0.00010836643662942683,
      2.7687409952299315e-05,
      -5.175766744269764e-05,
      -0.00012998769628919896,
      -0.00020702126619914568,
      -0.0002828766649919855,
      -0.000357571925102774,
      -0.0004311247481392698,
      -0.0005035525932944274,
      -0.0005748725805178193,
      -0.0006451018378111816,
      -0.0007142569385583846,
      -0.0007823543101688828,
      -0.0008494101330247044,
      -0.0009154403659682538,
      -0.0009804606880814883,
      -0.0010444865666671894,
      -0.0011075332924163608,
      -0.0011696157786699262,
      -0.0012307486645311025,
      -0.001290946467668134,
      -0.0013502236351503219,
      -0.0014085941990914577,
      -0.0014660720418544569,
      -0.0015226709061759843,
      -0.001578404054382439,
      -0.0016332847723243983,
      -0.0016873260844376078,
      -0.001740540804651574,
      -0.0017929416314236744,
      -0.0018445410323141846,
      -0.0018953512797519189,
      -0.0019453844552141603,
      -0.001994652356320383,
      -0.0020431667214311157,
      -0.0020909390404433817,
      -0.002137980682500232,
      -0.002184302787928327,
      -0.002229916369391575,
      -0.002274832195705605,
      -0.002319061203563726,
      -0.0023626138468499534,
      -0.0024055003473273944,
      -0.0024477308558078776,
      -0.002489315409746283,
      -0.0025302639660995823,
      -0.002570586293896082,
      -0.00261029192356833,
      -0.0026493903563156694
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335213897197296,
      10.095269849423854,
      9.849831936039969,
      9.601511961669134,
      9.352602659024937,
      9.105097776886975,
      8.860662142407863,
      8.620616851464382,
      8.385938841577895,
      8.157276476072816,
      7.934980278115844,
      7.719140395276471,
      7.509633575753178,
      7.306171858647517,
      7.108350976416498,
      6.915693539615872,
      6.727687163628168,
      6.543815512065546,
      6.363581671805808,
      6.186527649481516,
      6.012243885190079,
      5.840370896840614,
      5.6706207308488175,
      5.502786000906073,
      5.3367357014528,
      5.1724171242194545,
      5.009857456223841,
      4.849146459370706,
      4.690442406205089,
      4.533978530856828,
      4.380072140760096,
      4.22908397630236,
      4.081398113726033,
      3.9374086640499213,
      3.797507753316045,
      3.662070955042374,
      3.531437204437971,
      3.405899512466312,
      3.2856985794297873,
      3.171018834052088,
      3.0619868475999117,
      2.958662680013406,
      2.861034281339848,
      2.7690121840472455,
      2.682447164260244,
      2.6011447925852496,
      2.524870427141884,
      2.453371299452799,
      2.3863936934927117,
      2.323669401486421,
      2.2648962285959833,
      2.2097400413088883,
      2.1578241348201104,
      2.1087845978604878,
      2.06227840168966,
      2.017993008342177,
      1.9756522884138397,
      1.9350263103866678,
      1.8959239634957237,
      1.8581941536289952,
      1.8217141310668241,
      1.7863791022410784,
      1.752097018197406,
      1.7187925942202378,
      1.6864038242633625,
      1.6548784222982609,
      1.6241713209734416,
      1.5942429079418432,
      1.565057775735576,
      1.5365838290748863,
      1.5087913889417475,
      1.481650787144555,
      1.4551339299777395,
      1.4292157414940123,
      1.403873925113064,
      1.3790881651470428,
      1.354840221062324,
      1.331112745338098,
      1.3078889413698411,
      1.2851531475683304,
      1.2628921627836895,
      1.2410930496481243,
      1.2197428256887335,
      1.198830527801807,
      1.1783461826856456,
      1.1582791132136239,
      1.1386184344317447,
      1.119354123419293,
      1.1004765917740476,
      1.0819764783914216,
      1.0638444707355788,
      1.0460711416143806,
      1.0286471157790038,
      1.0115631749318872,
      0.9948103199149093,
      0.9783798073063807,
      0.9622631672857539,
      0.9464522110633216,
      0.9309390312113089,
      0.9157159969892917,
      0.9007757466334425,
      0.8861111789708308,
      0.8717154431949038,
      0.8575819296457818,
      0.8437042590865774,
      0.8300762733486909,
      0.816692025326763,
      0.8035457696024415,
      0.7906319541038223,
      0.7779452113950431,
      0.7654803504741053,
      0.7532323492378815,
      0.7411963469789832,
      0.7293676377505405,
      0.7177416635483823,
      0.7063140082642695,
      0.6950803917318247,
      0.684036664125792,
      0.673178800130293,
      0.6625028943488663,
      0.6520051565536127,
      0.6416819064616708,
      0.6315295625075067,
      0.6215445904039026,
      0.6117235444108531,
      0.6020631004814297,
      0.5925600695536174,
      0.5832113813730386,
      0.5740140421736842,
      0.5649651317705356,
      0.5560618829676147,
      0.5473019536761424,
      0.5386830522935471,
      0.5302027948297494,
      0.5218587597363212,
      0.5136485216717931,
      0.5055696738837326,
      0.49761984097967,
      0.48979668756984557,
      0.482097922600488,
      0.47452130195660874,
      0.46706462946330873,
      0.45972575707056396,
      0.4525025840352638,
      0.4453930563867868,
      0.4383951657985483,
      0.43150694866655614,
      0.4247268642831096,
      0.41805385029331954,
      0.4114866379216685,
      0.4050237664998548,
      0.3986636652127598,
      0.39240470536958566,
      0.38624523392428994,
      0.3801835947060699,
      0.3742181416920294,
      0.36834730798322307,
      0.3625697857974183,
      0.3568842595253229,
      0.3512890875974655,
      0.3457824365704753,
      0.34036260509247906,
      0.335027995870101,
      0.3297770890899176,
      0.32460842514540794,
      0.3195206820208181,
      0.31451260998785663,
      0.30958272372123574,
      0.30472950076459,
      0.2999515267720048,
      0.2952474724195405,
      0.29061608893310814,
      0.28605616920779875,
      0.2815665354864075,
      0.2771460366341658,
      0.272793545912288,
      0.26850795932221094,
      0.2642881944156397,
      0.2601331893654273,
      0.25604190228433876,
      0.2520133286952576,
      0.2480468090558667,
      0.24414182137280727,
      0.24029768571460813,
      0.2365136244070427,
      0.23278880072186242,
      0.22912234454095606,
      0.2255133690761117,
      0.22196098224611535,
      0.2184642936963955,
      0.21502241933443472,
      0.21163448459516038,
      0.20829962615809197,
      0.20501698332544682,
      0.20178562806948577,
      0.19860462939870635,
      0.19547311025114097,
      0.19239023358319146,
      0.18935519322242395,
      0.1863672077279331,
      0.1834255161673664,
      0.18052937528736138,
      0.1776780577361986,
      0.17487085051905535,
      0.17210705395448653,
      0.16938598098893118,
      0.16670695671473057,
      0.16406931782992618,
      0.16147241240131568,
      0.1589155994719469,
      0.15639824875484856,
      0.15391974037989378,
      0.15147946491655853,
      0.14907682299222905,
      0.14671122504000397,
      0.14438209109229397,
      0.14208885075419445,
      0.1398309428855163,
      0.1376078154875618,
      0.13541892559705287,
      0.13326373896476615,
      0.13114173009687705,
      0.12905238195340527,
      0.1269951858630814,
      0.12496964135493674,
      0.12297525591349828,
      0.12101154507618886,
      0.11907803206641175,
      0.11717424771101562,
      0.11529973038799164,
      0.11345402580762376,
      0.11163668703939925,
      0.10984727425751406,
      0.10808535454084245,
      0.10635050188663964,
      0.10464229705569517,
      0.10296032748451546,
      0.1013041871429922,
      0.09967347647157329,
      0.09806780213603554,
      0.09648677712796161,
      0.09493002035232068,
      0.0933971568581114,
      0.09188781766423218,
      0.09040163947200094,
      0.0889382647599654,
      0.08749734157411612,
      0.08607852356350755,
      0.0846814696597294,
      0.08330584427459443,
      0.08195131713189636,
      0.0806175630354808,
      0.0793042618587446,
      0.0780110983578755,
      0.07673776253408271,
      0.07548394896445382,
      0.07424935711024774,
      0.07303369105381138,
      0.07183665957389113,
      0.07065797581436384,
      0.06949735752906762,
      0.06835452694215867,
      0.06722921042782712,
      0.06612113860910933,
      0.06503004632265176,
      0.0639556726146522,
      0.06289776058085163,
      0.061856057170274294,
      0.06083031336583424,
      0.05982028399196267,
      0.05882572764446578,
      0.05784640663104171,
      0.056882086973675965,
      0.05593253827188531,
      0.05499753369700081,
      0.05407685004439362,
      0.053170267446329064,
      0.05227756945338204,
      0.05139854303960596,
      0.05053297841713339,
      0.0496806689901645,
      0.048841411409846,
      0.048015005428553505,
      0.04720125395657716,
      0.046399962784061735,
      0.04561094075609511,
      0.044833999796992687,
      0.04406895462503297,
      0.04331562286918654,
      0.04257382483416988,
      0.04184338362565408,
      0.041124125133240624,
      0.04041587804995488,
      0.039718473520228455,
      0.03903174537650617,
      0.038355530026692834,
      0.03768966631311223,
      0.03703399558435948,
      0.036388361601989425,
      0.03575261069179781,
      0.03512659132262565,
      0.03451015437144195,
      0.03390315297709888,
      0.03330544264196472,
      0.03271688096363971,
      0.03213732780471258,
      0.03156664522903108,
      0.031004697344945945,
      0.030451350302498927,
      0.029906472400679885,
      0.029369933922572873,
      0.0288416071695606,
      0.02832136628656394,
      0.027809087470001832,
      0.027304648801931338,
      0.026807930218820393,
      0.026318813493622882,
      0.025837182257157823,
      0.025362921803461485,
      0.024895919290330467,
      0.024436063641187823,
      0.02398324546694503,
      0.02353735694324216,
      0.023098291992846593,
      0.022665946163101518,
      0.02224021654152921,
      0.021821001861796578,
      0.021408202310973425,
      0.02100171971135303,
      0.020601457339340046,
      0.020207320030279714,
      0.01981921406664959,
      0.019437047046290984,
      0.019060728124866016,
      0.018690167761599912,
      0.01832527775041147,
      0.017965971306860305,
      0.01761216303337407,
      0.017263768705481797,
      0.01692070541906375,
      0.016582891640632785,
      0.016250247040436438,
      0.015922692546680158,
      0.015600150099113733,
      0.015282543100144787,
      0.014969796012659431,
      0.0146618344202291,
      0.014358585110678444,
      0.01405997595448258,
      0.013765935946308745,
      0.013476395060156682,
      0.013191284534819757,
      0.012910536546604649,
      0.012634084344406146,
      0.012361862191486552,
      0.012093805406543796,
      0.01182985024365899,
      0.011569933903146168,
      0.011313994539602143,
      0.011061971299206707,
      0.010813804227437072,
      0.010569434390047266,
      0.010328803661024972,
      0.010091854812560254,
      0.009858531455982145,
      0.009628778144934111,
      0.00940254023428036,
      0.009179763799136615,
      0.008960396034129368,
      0.008744384798098822,
      0.008531678676600667,
      0.008322227053696684,
      0.008115980218833104,
      0.007912889133544723,
      0.00771290551267663,
      0.007515981793737924,
      0.007322071223846182,
      0.007131127612678135,
      0.006943105539310641,
      0.006757960186528601,
      0.006575647629636432,
      0.006396124549249516,
      0.006219348315834082,
      0.006045276816190812,
      0.00587386873961313,
      0.005705083301281014,
      0.0055388803431898415,
      0.005375220271889837,
      0.0052140642337721275,
      0.005055373917994554,
      0.004899111698816484,
      0.00474524035440687,
      0.004593723321532258,
      0.00444452461544266,
      0.004297608803302824,
      0.004152940896809511,
      0.004010486488548723,
      0.003870211674092888,
      0.0037320831161051955,
      0.00359606796431763,
      0.0034621338413160117,
      0.003330248944202486,
      0.0032003819642658143,
      0.0030725020151790485,
      0.0029465786454214416,
      0.002822581903273974,
      0.0027004824158488806,
      0.00258025114678356,
      0.002461859460577677,
      0.002345279194608846,
      0.0022304826439920314,
      0.002117442516391657,
      0.002006131971251805,
      0.001896524508003032,
      0.001788594033847097,
      0.0016823148822059967,
      0.0015776618707846047,
      0.0014746101392800412,
      0.0013731350964438383,
      0.0012732126668343502,
      0.0011748191327174235,
      0.0010779309519436818,
      0.000982525155407585,
      0.0008885790659393869,
      0.0007960704574073141,
      0.0007049772637825703,
      0.0006152778362359983,
      0.0005269507943530089,
      0.0004399751776858692,
      0.0003543303316091728,
      0.00026999586432417455,
      0.00018695173231930224,
      0.00010517816167981084,
      2.465575482207003e-05,
      -5.463463019153926e-05,
      -0.0001327117956238635,
      -0.00020959439883871782,
      -0.0002853006247750602,
      -0.00035984858184403423,
      -0.00043325597210501883,
      -0.0005055400908680725,
      -0.0005767182254965911,
      -0.0006468072332077888,
      -0.0007158238492298323,
      -0.000783784523366244,
      -0.000850705350992728,
      -0.0009166022126021956,
      -0.0009814908235176209,
      -0.0010453866172765703,
      -0.0011083048636944047,
      -0.001170260423347844,
      -0.0012312680794847122,
      -0.0012913423097314508,
      -0.0013504974194591527,
      -0.001408747419661062,
      -0.0014661061646659447,
      -0.0015225872793719689,
      -0.001578204257376739,
      -0.0016329702846061861,
      -0.0016868983804531382,
      -0.0017400014232865598,
      -0.0017922919911343474,
      -0.0018437825002277572,
      -0.0018944851391565077,
      -0.0019444120630238357,
      -0.00199357511678074,
      -0.0020419859832904947,
      -0.0020896560514677446,
      -0.002136596658015902,
      -0.002182819131804447,
      -0.0022283344122848102,
      -0.002273153257840905,
      -0.002317286345112639,
      -0.002360744234844159,
      -0.0024035372289684187,
      -0.0024456753854023615,
      -0.0024871688434886883,
      -0.002528027507755893,
      -0.0025682610360360557,
      -0.0026078790237650832,
      -0.0026468907933389968
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335210428561663,
      10.095256858865458,
      9.849803691151934,
      9.601464372731964,
      9.35253291067185,
      9.10500406417404,
      8.860543430205162,
      8.620472668376152,
      8.385769182600058,
      8.15708179537466,
      7.934760864824422,
      7.718896494894218,
      7.50936542740117,
      7.305879652956593,
      7.108034841137012,
      6.915353681235752,
      6.727323824012331,
      6.543428946614031,
      6.363172241810881,
      6.186095824990348,
      6.011790366087383,
      5.839896611603739,
      5.670126788653788,
      5.5022737496841,
      5.336206723332068,
      5.171873235711002,
      5.009300564899595,
      4.848578760143845,
      4.6898664097810405,
      4.533397228639262,
      4.379489096428568,
      4.228502717005161,
      4.080822124804493,
      3.9368413303480083,
      3.796952437531975,
      3.6615308224044703,
      3.5309150821326063,
      3.405397849770175,
      3.285219419303707,
      3.1705637985538258,
      3.0615571367193093,
      2.9582589493322824,
      2.860656646742147,
      2.76866018863457,
      2.682119826110514,
      2.6008404917561694,
      2.5245872763284196,
      2.453107330767809,
      2.3861468267883605,
      2.3234373853204824,
      2.2646767766720908,
      2.2095306048256473,
      2.1576220805387187,
      2.108587578947651,
      2.062084316780582,
      2.017799955468977,
      1.9754587415375653,
      1.9348311265006217,
      1.8957263135505595,
      1.8579934482687792,
      1.8215099548915181,
      1.7861711362643775,
      1.7518850449369476,
      1.7185764899474991,
      1.6861835317572762,
      1.6546539307196133,
      1.6239426526490168,
      1.594010107457312,
      1.5648209026251658,
      1.5363429526420296,
      1.5085466010332886,
      1.4814022060295353,
      1.4548816460965075,
      1.4289598471781786,
      1.40361452975726,
      1.3788253766594951,
      1.354574151782404,
      1.3308434960769457,
      1.307616605222971,
      1.2848779308045148,
      1.2626143149932763,
      1.240812759355611,
      1.2194603459752091,
      1.198546231302992,
      1.1780603322453187,
      1.157991899409757,
      1.1383300099286109,
      1.1190646236170823,
      1.100186126602965,
      1.0816851448953035,
      1.0635523476325013,
      1.0457782948226098,
      1.0283536034142176,
      1.0112690491860519,
      0.9945156289232407,
      0.9780845964434186,
      0.9619674799941172,
      0.9461560894201255,
      0.9306425160287861,
      0.9154191278566116,
      0.9004785625101606,
      0.8858137182641014,
      0.8714177438807781,
      0.8572840290275217,
      0.8434061939525392,
      0.8297780797156302,
      0.8163937386327407,
      0.8032474248923449,
      0.7903335859021965,
      0.7776468535967378,
      0.765182036634741,
      0.7529341121946339,
      0.7408982191508103,
      0.729069650846047,
      0.7174438488760042,
      0.7060163967803683,
      0.6947830136499162,
      0.6837395488734465,
      0.672881976908656,
      0.6622063919219481,
      0.6517090028021403,
      0.641386129022102,
      0.6312341880057161,
      0.6212496438322342,
      0.6114290508100882,
      0.6017690878626437,
      0.592266574499189,
      0.582918437457967,
      0.573721678756246,
      0.5646733757141399,
      0.5557708176306827,
      0.547011706172183,
      0.53839371008494,
      0.5299144198268885,
      0.5215713968305147,
      0.5133622047147958,
      0.505284429132598,
      0.4973356900029434,
      0.4895136483773353,
      0.4818160109859741,
      0.47424053198840144,
      0.46678501386263915,
      0.45944730760627517,
      0.45222531198701654,
      0.4451169723152513,
      0.4381202798691649,
      0.43123327058545735,
      0.424454494030265,
      0.41778289124626505,
      0.41121715703868467,
      0.4047558072963833,
      0.3983972559196335,
      0.3921398642100575,
      0.38598197267257695,
      0.37992192069272285,
      0.3739580594596507,
      0.36808883387253355,
      0.3623129532277776,
      0.35662908867137916,
      0.3510356731418653,
      0.34553087318737186,
      0.34011295194905633,
      0.3347802890383055,
      0.3295313495839091,
      0.32436466403896375,
      0.31927891590645474,
      0.3142728527013088,
      0.30934498302038455,
      0.30449377883345674,
      0.2997178222039624,
      0.29501578298559344,
      0.29038641096094053,
      0.2858284973097535,
      0.28134086322002455,
      0.2769223565712412,
      0.2725718500332855,
      0.26828823929150364,
      0.2640704416630967,
      0.2599173949868575,
      0.2558280572316258,
      0.25180143297982127,
      0.24783687491541997,
      0.24393385296124254,
      0.24009168200940176,
      0.23630958087202159,
      0.23258671042061832,
      0.22892219890902568,
      0.22531515854604617,
      0.2217646965489869,
      0.2182699218794757,
      0.214829950322345,
      0.2114439069348993,
      0.20811092824509347,
      0.2048301511985937,
      0.20160064489861737,
      0.19842148011470126,
      0.19529178083699128,
      0.192210710865173,
      0.18917746462508875,
      0.18619126096688884,
      0.18325133919709716,
      0.18035695631225054,
      0.17750738486570466,
      0.17470191185445533,
      0.1719398376619692,
      0.16922047523235398,
      0.16654314963848893,
      0.16390719766213477,
      0.16131196727643576,
      0.15875681754563925,
      0.1562411182160021,
      0.15376424948799391,
      0.15132560187314045,
      0.1489245760217077,
      0.14656058222837057,
      0.14423304066382603,
      0.14194138084524538,
      0.13968504175702023,
      0.13746347141280973,
      0.13527612677458484,
      0.13312247367254104,
      0.1310019865916788,
      0.12891414853538263,
      0.126858450876289,
      0.12483439304789666,
      0.12284148262986927,
      0.12087923512109952,
      0.11894717382036193,
      0.11704482956555014,
      0.11517174077042752,
      0.11332745323735371,
      0.11151151998705984,
      0.10972350115647386,
      0.1079629639320756,
      0.1062294824171203,
      0.10452263735626562,
      0.10284201618096765,
      0.10118721290540436,
      0.09955782789165446,
      0.09795346798572961,
      0.09637374612866788,
      0.09481828143998526,
      0.09328669899735036,
      0.09177862971333124,
      0.09029371035896401,
      0.08883158348064323,
      0.08739189721593874,
      0.08597430520195391,
      0.08457846652230228,
      0.08320404559941903,
      0.08185071213788551,
      0.08051814107667148,
      0.07920601235956763,
      0.07791401090148228,
      0.07664182647048674,
      0.0753891537942027,
      0.0741556924069704,
      0.07294114646053862,
      0.0717452247323808,
      0.07056764057771948,
      0.06940811171370222,
      0.06826636029599589,
      0.06714211284939925,
      0.06603510010954299,
      0.0649450570482483,
      0.0638717226602483,
      0.06281484008277628,
      0.06177415632293515,
      0.060749422429272115,
      0.059740393276985375,
      0.05874682752340947,
      0.057768487622058995,
      0.05680513961872031,
      0.0558565531896666,
      0.05492250163306704,
      0.05400276173404554,
      0.053097113661754784,
      0.05220534100018568,
      0.05132723078828743,
      0.05046257335073164,
      0.04961116211237556,
      0.048772793700915855,
      0.04794726803642877,
      0.04713438794330503,
      0.04633395942547502,
      0.04554579139987587,
      0.044769695902571835,
      0.04400548762230878,
      0.04325298416380513,
      0.0425120061113634,
      0.041782376655802346,
      0.04106392169247683,
      0.04035646991360431,
      0.039659852564717074,
      0.0389739035319253,
      0.03829845927727957,
      0.037633358732908774,
      0.036978443351139756,
      0.036333556915944476,
      0.03569854559888513,
      0.035073258183162134,
      0.034457545572503974,
      0.0338512610527229,
      0.03325426004034755,
      0.03266640023426343,
      0.03208754146736076,
      0.0315175459356053,
      0.030956277838083704,
      0.03040360343196157,
      0.02985939100622494,
      0.029323510888934094,
      0.02879583551307471,
      0.028276239134326017,
      0.027764597899572818,
      0.027260789922420037,
      0.026764695252033843,
      0.026276195703134594,
      0.025795174991969747,
      0.025321518624810534,
      0.024855113653826567,
      0.02439584897950518,
      0.02394361529132666,
      0.02349830493895356,
      0.023059811740099495,
      0.022628031379066587,
      0.022202861125801093,
      0.021784199734234917,
      0.021371947408499917,
      0.02096600608834239,
      0.020566279106146074,
      0.02017267126667239,
      0.019785088849459127,
      0.01940343954707896,
      0.01902763256807398,
      0.018657578408373114,
      0.01829318898418893,
      0.017934377611323413,
      0.01758105883729022,
      0.017233148628266005,
      0.016890564020403613,
      0.01655322352020203,
      0.016221046899474435,
      0.01589395506532887,
      0.015571870151044338,
      0.015254715496963278,
      0.014942415630108397,
      0.014634896165152803,
      0.01433208398401434,
      0.014033906980583877,
      0.013740294210812687,
      0.013451175811534927,
      0.013166482923835342,
      0.012886147792013672,
      0.012610103777799501,
      0.012338285168990347,
      0.012070627265180009,
      0.011807066372135244,
      0.01154753971726562,
      0.011291985674352483,
      0.011040343426222104,
      0.010792552955321446,
      0.010548555304414986,
      0.010308292427997504,
      0.010071707161856118,
      0.009838743234025414,
      0.009609345171421218,
      0.009383458406675614,
      0.009161029229157241,
      0.008942004619070356,
      0.008726332471890242,
      0.008513961482878543,
      0.008304841155823452,
      0.008098921617584154,
      0.00789615402047367,
      0.00769649008953057,
      0.007499882270470365,
      0.007306283771952958,
      0.00711564852830464,
      0.006927931203183205,
      0.006743087158020976,
      0.0065610724422740085,
      0.006381843703502004,
      0.006205358290965975,
      0.0060315741580954365,
      0.005860450066366378,
      0.005691945245320805,
      0.005526019557227779,
      0.0053626335364879915,
      0.005201748330362742,
      0.005043325667073402,
      0.0048873279221638855,
      0.004733717862353752,
      0.004582458983319618,
      0.004433515276995344,
      0.004286851370142265,
      0.004142432302925827,
      0.004000223728852411,
      0.003860191843436198,
      0.0037223033024906525,
      0.003586525345785888,
      0.003452825553637431,
      0.0033211722544084334,
      0.0031915339927317313,
      0.0030638800169347892,
      0.0029381798843483567,
      0.002814403755569681,
      0.0026925220931880403,
      0.0025725060228382886,
      0.002454326907743119,
      0.002337956694653409,
      0.002223367682762481,
      0.0021105325294426516,
      0.0019994243909428264,
      0.0018900168425840663,
      0.0017822839721339646,
      0.001676200080744445,
      0.0015717398368937808,
      0.0014688784883160936,
      0.0013675915232021234,
      0.0012678548729398481,
      0.0011696449513383144,
      0.0010729383009292649,
      0.0009777117874184118,
      0.0008839427950114145,
      0.0007916090358725265,
      0.0007006885707493196,
      0.0006111596846353648,
      0.0005230011259129435,
      0.0004361920295039683,
      0.00035071158661129515,
      0.00026653947215037727,
      0.00018365565660862816,
      0.00010204041657571833,
      2.1674269944013007e-05,
      -5.746178875175141e-05,
      -0.00013538658564332025,
      -0.00021211865703528904,
      -0.0002876761757485009,
      -0.0003620772261124943,
      -0.00043533945503187364,
      -0.0005074803194439637,
      -0.0005785169132019162,
      -0.0006484662503214463,
      -0.0007173450074052149,
      -0.0007851695510886896,
      -0.0008519560020854299,
      -0.0009177202349572411,
      -0.0009824778704522522,
      -0.0010462443242233123,
      -0.0011090347653739446,
      -0.0011708641443075706,
      -0.001231747136844083,
      -0.0012916982655544734,
      -0.001350731727780118,
      -0.001408861527665664,
      -0.0014661015820749558,
      -0.001522465533282192,
      -0.001577966860031468,
      -0.0016326187014380808,
      -0.0016864339784392617,
      -0.0017394255336740368,
      -0.0017916059719113426,
      -0.0018429877222287208,
      -0.0018935830105582785,
      -0.0019434038759025551,
      -0.0019924621347439803,
      -0.0020407694975411676,
      -0.002088337455677565,
      -0.002135177371146327,
      -0.002181300406506996,
      -0.0022267174352417966,
      -0.00227143933257998,
      -0.002315476648960222,
      -0.00235883987447193,
      -0.0024015393334817225,
      -0.002443585339442461,
      -0.0024849878541165884,
      -0.002525756634968237,
      -0.002565901368626814,
      -0.002605431759835136,
      -0.002644357143348714
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335206963485831,
      10.095243877603753,
      9.849775460328729,
      9.601416799385737,
      9.352463175777695,
      9.104910360477033,
      8.860424721106506,
      8.620328482591434,
      8.385599516165348,
      8.156887045103703,
      7.934541270811092,
      7.718652319839218,
      7.509096923975778,
      7.30558702432573,
      7.107718225851793,
      6.915013296734029,
      6.726959920735702,
      6.543041788737714,
      6.36276219701241,
      6.185663367429294,
      6.011336199208185,
      5.839421665729706,
      5.669632176193307,
      5.50176082251832,
      5.335677065893817,
      5.1713286685288145,
      5.0087429995262065,
      4.848010393306016,
      4.689289754706762,
      4.532815279308806,
      4.378905420510829,
      4.227920845238738,
      4.080245546545063,
      3.9362734318319763,
      3.7963965833963846,
      3.660990179166393,
      3.5303924779600244,
      3.4048957338551995,
      3.284739833834239,
      3.1701083652319646,
      3.0611270549829097,
      2.9578548739193278,
      2.8602786609546063,
      2.7683078367868488,
      2.6817921280660677,
      2.600535829821694,
      2.5243037658024936,
      2.452843005138504,
      2.3858996062817743,
      2.3232050191115134,
      2.264456978981989,
      2.209320828223119,
      2.1574196932703416,
      2.1083902363007514,
      2.061889918691997,
      2.0176065999626593,
      1.9752649026505178,
      1.934635661516641,
      1.895528394308769,
      1.8577924851224816,
      1.8213055324230398,
      1.7859629353653816,
      1.7516728483089412,
      1.7183601742025012,
      1.6859630390558893,
      1.6544292499713342,
      1.6237138048760322,
      1.5937771365692508,
      1.5645838676540702,
      1.536101923328649,
      1.508301669535824,
      1.4811534901947674,
      1.4546292360762019,
      1.4287038358634032,
      1.4033550269355175,
      1.3785624902646463,
      1.354307993865399,
      1.3305741669504385,
      1.3073441969704254,
      1.2846026750833333,
      1.2623364519071798,
      1.2405324714254375,
      1.2191778828905542,
      1.1982619628847375,
      1.177774519403402,
      1.1577047312614779,
      1.1380416379982063,
      1.1187751820266671,
      1.0998957246285275,
      1.0813938794491034,
      1.0632602974675562,
      1.0454855260598699,
      1.0280601738281399,
      1.010975010592677,
      0.994221029555298,
      0.9777894815855982,
      0.9616718929141893,
      0.9458600717824251,
      0.9303461082488753,
      0.9151223697021844,
      0.9001814930336653,
      0.8855163756772643,
      0.8711201655738315,
      0.8569862519878039,
      0.8431082547177872,
      0.8294800142182017,
      0.8160955822913173,
      0.8029492125935557,
      0.790035352025822,
      0.7773486320334266,
      0.7648838606433593,
      0.7526360145318264,
      0.7406002320657027,
      0.7287718061177598,
      0.7171461779968389,
      0.7057189301655056,
      0.6944857815167688,
      0.683442580918676,
      0.6725853021811012,
      0.661910038841285,
      0.6514129993214656,
      0.6410905026565457,
      0.6309389650150425,
      0.6209548493088973,
      0.6111347096999491,
      0.6014752303533971,
      0.5919732379156107,
      0.5826256541508057,
      0.5734294777888551,
      0.564381783413047,
      0.5554799468358697,
      0.5467216733195202,
      0.5381045958838553,
      0.529626281725745,
      0.5212842768478367,
      0.5130761347984409,
      0.50499943439465,
      0.4970517909096902,
      0.4892308623591472,
      0.48153435324304134,
      0.4739600163356232,
      0.4665056530305148,
      0.45916911338103816,
      0.4519482952921187,
      0.44484114381992834,
      0.4378456496505115,
      0.43095985058225617,
      0.42418238514805884,
      0.4175121955916145,
      0.4109479408209091,
      0.40448811329218803,
      0.3981311117559344,
      0.3918752877148824,
      0.38571897520287746,
      0.3796605095456635,
      0.37369823899338156,
      0.3678306328438935,
      0.3620564002593834,
      0.3563742010311829,
      0.3507825390215982,
      0.3452795876243497,
      0.33986357449294,
      0.3345328560508624,
      0.32928588218847105,
      0.3241211782613256,
      0.3190374306379079,
      0.3140333792800434,
      0.309107527383123,
      0.30425834202575724,
      0.2994844020407372,
      0.29478437675297364,
      0.2901570145008386,
      0.28560110491120977,
      0.28111546806218757,
      0.27669895124889615,
      0.2723504267219359,
      0.2680687895273879,
      0.26385295676746906,
      0.25970186623328256,
      0.25561447550241906,
      0.2515897980070065,
      0.24762719889202262,
      0.24372614029406234,
      0.2398859316933986,
      0.23610578831818277,
      0.23238486865810198,
      0.2287222994081206,
      0.225117191703212,
      0.2215686519501693,
      0.21807578869888003,
      0.2146377173875621,
      0.21125356291691258,
      0.20792246154102004,
      0.20464354799435996,
      0.20141588823646414,
      0.19823855485386807,
      0.1951106731734683,
      0.19203140775454655,
      0.1889999533598695,
      0.18601552921247055,
      0.18307737483700023,
      0.1801847473702432,
      0.1773369195673446,
      0.17453317840867205,
      0.171772824156548,
      0.16905516980795204,
      0.16637954051615084,
      0.1637452729918751,
      0.16115171534173994,
      0.15859822652200298,
      0.15608417631700836,
      0.1536089449643346,
      0.15117192292242296,
      0.14877251076111575,
      0.1464101188825509,
      0.1440841674094454,
      0.14179408597934523,
      0.13953931338180056,
      0.13731929774268614,
      0.13513349610638423,
      0.13298137430423124,
      0.13086240680471153,
      0.12877607653838435,
      0.12672187493884365,
      0.12469930144353047,
      0.12270786364225497,
      0.12074707709462258,
      0.11881646508317759,
      0.11691555854968898,
      0.11504389589034208,
      0.11320102292701968,
      0.11138649279434051,
      0.10959986558934663,
      0.10784070852090691,
      0.10610859564303528,
      0.10440310780850738,
      0.10272383258059949,
      0.10107036395126769,
      0.09944230241766583,
      0.09783925472418786,
      0.09626083386757144,
      0.09470665901466804,
      0.09317635533963008,
      0.0916695537989632,
      0.09018589120612061,
      0.08872501011023758,
      0.08728655863078698,
      0.08587019054089044,
      0.0844755650012898,
      0.08310234647849954,
      0.0817502046690954,
      0.08041881447087185,
      0.07910785590556339,
      0.07781701405365367,
      0.07654597881618093,
      0.07529444485588492,
      0.07406211179428253,
      0.07284868381862741,
      0.07165386975748074,
      0.07047738300081763,
      0.06931894136052319,
      0.06817826710936335,
      0.0670550868004661,
      0.06594913128715575,
      0.06486013546256915,
      0.06378783840861564,
      0.06273198328998218,
      0.06169231732645435,
      0.060668591491192796,
      0.05966056074437869,
      0.058667983845642875,
      0.057690623250885004,
      0.05672824501624652,
      0.05578061898289766,
      0.054847518409510236,
      0.05392872012336136,
      0.05302400447487876,
      0.052133155209928554,
      0.051255959297706884,
      0.050392207034405494,
      0.04954169204221294,
      0.04870421105467165,
      0.047879563968208916,
      0.047067553785042605,
      0.04626798648797608,
      0.04548067106664961,
      0.0447054194565572,
      0.04394204657500496,
      0.0431903701587167,
      0.04245021069450381,
      0.04172139142430501,
      0.04100373846890087,
      0.040297080545742936,
      0.03960124894479948,
      0.03891607754933953,
      0.03824140282849839,
      0.037577063845916914,
      0.036922902125843336,
      0.03627876147758324,
      0.035644488293321834,
      0.035019931225874615,
      0.03440494129829922,
      0.03379937183809724,
      0.03320307846152428,
      0.0326159188411299,
      0.03203775300901438,
      0.0314684431475349,
      0.030907853458540923,
      0.030355850237133948,
      0.029812301896762095,
      0.02927707878576896,
      0.028750053310831178,
      0.028231099877196957,
      0.02772009477318762,
      0.0272169161127595,
      0.026721443995273448,
      0.02623356036102972,
      0.02575314895586996,
      0.025280095213596337,
      0.024814286374117908,
      0.02435561138563523,
      0.023903960915689096,
      0.023459227400370947,
      0.023021304852278098,
      0.0225900889803659,
      0.02216547693416064,
      0.021747367537411053,
      0.021335661082586624,
      0.020930259557882684,
      0.020531066454085596,
      0.020137986628444626,
      0.01975092639639488,
      0.01936979352722557,
      0.018994497302703424,
      0.01862494830158771,
      0.018261058418374842,
      0.017902740982373686,
      0.017549910666323717,
      0.017202483412746123,
      0.016860376473623512,
      0.01652350835958873,
      0.016191798781444867,
      0.015865168666190272,
      0.015543540196891725,
      0.015226836832279083,
      0.014914983159065072,
      0.014607904857341791,
      0.014305528835588265,
      0.014007783032734202,
      0.01371459662571159,
      0.01342589977092887,
      0.013141623648202816,
      0.012861700521928275,
      0.012586063742403338,
      0.012314647611801826,
      0.012047387527237571,
      0.011784219911844522,
      0.011525082086396857,
      0.011269912315999388,
      0.011018649815254357,
      0.010771234770644985,
      0.01052760829916774,
      0.010287712291856339,
      0.010051489586925205,
      0.009818884095325896,
      0.009589840319569592,
      0.009364303785220365,
      0.009142220738010073,
      0.008923538231843579,
      0.008708204277393118,
      0.008496167548942068,
      0.008287377507497706,
      0.008081784444298525,
      0.007879339323668555,
      0.007679994048917258,
      0.0074837011524379795,
      0.007290413997835116,
      0.007100086501184252,
      0.006912673293895457,
      0.006728129690839972,
      0.0065464118903681,
      0.006367476617873691,
      0.006191281255070143,
      0.00601778383173778,
      0.005846942969045116,
      0.005678718022488911,
      0.005513068884264063,
      0.005349956175908115,
      0.005189341067915753,
      0.0050311851976116845,
      0.004875450989190469,
      0.004722101417149947,
      0.004571099930980293,
      0.004422410591689925,
      0.004275997975082502,
      0.0041318272045400934,
      0.003989863903310406,
      0.003850074339341512,
      0.003712425222840286,
      0.0035768837665338215,
      0.0034434176396189167,
      0.0033119950763873846,
      0.0031825848466591955,
      0.0030551561206870375,
      0.0029296785836169154,
      0.002806122291101374,
      0.0026844577990955327,
      0.00256465625246932,
      0.002446689061595862,
      0.0023305282482749233,
      0.0022161460050066292,
      0.0021035152221440005,
      0.0019926089931167155,
      0.0018834008908034578,
      0.0017758648572068082,
      0.001669975362090042,
      0.0015657072899196124,
      0.0014630358286533826,
      0.0013619364104636854,
      0.0012623850733969916,
      0.0011643580490573804,
      0.00106783199389726,
      0.0009727837955892029,
      0.0008791909341391604,
      0.0007870311451935223,
      0.0006962825173120764,
      0.0006069234884885416,
      0.0005189327107112823,
      0.000432289328753487,
      0.00034697268182324535,
      0.0002629623246253302,
      0.00018023820749441118,
      9.878075692155935e-05,
      1.8570499591121002e-05,
      -6.041160031797536e-05,
      -0.00013818424802309364,
      -0.00021476603137108013,
      -0.0002901752455878459,
      -0.0003644297997707307,
      -0.00043754737010540763,
      -0.0005095454053853215,
      -0.0005804410620750212,
      -0.000650251150760809,
      -0.0007189922339148852,
      -0.000786680735580145,
      -0.000853332789412323,
      -0.0009189643466444383,
      -0.0009835910669339918,
      -0.001047228341655088,
      -0.0011098911890038044,
      -0.001171594522773561,
      -0.001232353121992112,
      -0.0012921813707153262,
      -0.0013510935245590382,
      -0.001409103594772307,
      -0.0014662254098575848,
      -0.001522472612262862,
      -0.001577858661421122,
      -0.0016323966254352894,
      -0.0016860995189155177,
      -0.0017389800993798188,
      -0.0017910509175954469,
      -0.0018423244367118347,
      -0.0018928128520694764,
      -0.0019425282728427863,
      -0.001991482400562334,
      -0.002039686943996586,
      -0.00208715342348368,
      -0.002133893076003568,
      -0.002179917160375711,
      -0.0022252365560123024,
      -0.00226986197100611,
      -0.0023138040542051894,
      -0.0023570732461595913,
      -0.002399679915575322,
      -0.002441634247712088,
      -0.0024829461819984647,
      -0.0025236255464564632,
      -0.002563682071113593,
      -0.0026031252798165323,
      -0.0026419645084898693
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335203503901305,
      10.095230913412857,
      9.849747260036544,
      9.60136927164796,
      9.352393503577268,
      9.104816735887367,
      8.860306108139902,
      8.620184408829239,
      8.385429976010395,
      8.156692383055677,
      7.934321716442044,
      7.718408144492555,
      7.508828386978602,
      7.305294335371817,
      7.1074015299238065,
      6.914672816593043,
      6.72659591296878,
      6.542654521711945,
      6.362352043364579,
      6.185230807051998,
      6.010881938981661,
      5.8389466397108745,
      5.669137498261239,
      5.501247846474575,
      5.335147378338245,
      5.170784089438763,
      5.0081854535829615,
      4.847442077706581,
      4.688713182734593,
      4.532233444504724,
      4.378321889831027,
      4.227339148966243,
      4.079669171833829,
      3.9357057628504246,
      3.7958409821026495,
      3.6604498107069126,
      3.5298701685093707,
      3.40439392960461,
      3.2842605744235183,
      3.169653268687219,
      3.060697317719185,
      2.957451147848902,
      2.8599010201403923,
      2.7679558235807424,
      2.681464759495511,
      2.60023148517142,
      2.5240205584561273,
      2.452578967864638,
      2.385652659580991,
      2.3229729125599725,
      2.2642374284538778,
      2.209111287981445,
      2.157217532924245,
      2.108193112282186,
      2.061695732909675,
      2.0174134512644732,
      1.9750712660146705,
      1.9344403952793392,
      1.8953306717988108,
      1.8575917185896231,
      1.821101307198319,
      1.7857549331596487,
      1.7514608520506965,
      1.7181440597818411,
      1.6857427490986068,
      1.6542047737164924,
      1.6234851642513657,
      1.593544375694158,
      1.564347045837559,
      1.5358611095877934,
      1.5080569552201692,
      1.4809049931221905,
      1.454377046386316,
      1.4284480461467604,
      1.4030957466449456,
      1.3782998269648306,
      1.3540420599156038,
      1.3303050631912745,
      1.3070720149108133,
      1.2843276462800544,
      1.2620588165320956,
      1.2402524124909122,
      1.218895650442305,
      1.1979779267618016,
      1.1774889402980813,
      1.1574177986517455,
      1.1377535038391835,
      1.118485980739335,
      1.0996055654018884,
      1.0811028585189602,
      1.0629684926762064,
      1.045193003500691,
      1.0277669912150997,
      1.010681220156969,
      0.9939266790471898,
      0.9774946161808026,
      0.9613765557374341,
      0.9455643046258421,
      0.9300499519772213,
      0.9148258640407536,
      0.8998846767549508,
      0.8852192867287596,
      0.8708228418601043,
      0.8566887306192537,
      0.8428105721171444,
      0.8291822064226145,
      0.8157976845345923,
      0.8026512597457075,
      0.7897373784649176,
      0.7770506715872088,
      0.7645859465478477,
      0.7523381793825634,
      0.740302507938637,
      0.7284742245556192,
      0.7168487699626029,
      0.7054217263691542,
      0.6941888120997617,
      0.6831458755884693,
      0.6722888901351102,
      0.6616139487594742,
      0.6511172594032518,
      0.6407951401666271,
      0.6306440060241859,
      0.6206603185778371,
      0.6108406321570131,
      0.6011816395110027,
      0.5916801701663769,
      0.5823331409555014,
      0.5731375472831458,
      0.564090461590574,
      0.5551893469755881,
      0.5464319122042103,
      0.5378157544790719,
      0.5293384175444081,
      0.5209974319340124,
      0.512790340883111,
      0.5047147165624091,
      0.49676816950818803,
      0.48894835468499015,
      0.4812529744486596,
      0.47367978009544653,
      0.4662265720959332,
      0.45889119946588264,
      0.45167155945937726,
      0.44456559647988547,
      0.4375713008069441,
      0.4306867571463784,
      0.4239106677154746,
      0.41724193178086205,
      0.41067918092522643,
      0.40422088996606,
      0.39786544627735526,
      0.39161119393958604,
      0.3854564619624375,
      0.3793995822095466,
      0.3734389009386026,
      0.36757291205156917,
      0.36180032472773616,
      0.3561197875779365,
      0.3505298408661503,
      0.3450287130258725,
      0.33961459110015146,
      0.3342858053038087,
      0.32904078868590814,
      0.323878061579373,
      0.3187963119083042,
      0.3137942699905472,
      0.30887043361573663,
      0.3040232650562068,
      0.2992513398726495,
      0.2945533265911998,
      0.2899279722552516,
      0.2853740648849272,
      0.2808904234449443,
      0.2764758946047682,
      0.27212934998866173,
      0.267849684418608,
      0.2636358145870671,
      0.2594866780553024,
      0.25540123242435353,
      0.25137849983169197,
      0.24741785766253307,
      0.24351876010999557,
      0.239680511592487,
      0.23590232372265307,
      0.23218335257685635,
      0.22852272325966444,
      0.22491954583831442,
      0.22137292596564856,
      0.21788197172202187,
      0.21444579819193893,
      0.21106353004843947,
      0.20773430351830954,
      0.20445725104068066,
      0.20123143546224484,
      0.19805593129361398,
      0.19492986495002346,
      0.19185240165411885,
      0.18882273679056216,
      0.185840089820412,
      0.18290370050463498,
      0.18001282611258435,
      0.17716673942800457,
      0.17436472744451986,
      0.1716060905486276,
      0.16889014187052123,
      0.16621620645732516,
      0.16358362100438434,
      0.16099173357164678,
      0.15843990323428003,
      0.15592749963437594,
      0.1534539030061664,
      0.15101850385377097,
      0.14862070280961664,
      0.1462599102470585,
      0.14393554637790235,
      0.14164704072215353,
      0.13939383216409548,
      0.13717536876782102,
      0.13499110753642496,
      0.1328405144394438,
      0.13072306401485143,
      0.12863823913669042,
      0.12658553108718973,
      0.12456443948945367,
      0.12257447191544968,
      0.12061514396395608,
      0.11868597894989591,
      0.11678650786600007,
      0.11491626910159175,
      0.11307480839446647,
      0.11126167894625953,
      0.10947644100226422,
      0.10771866180403494,
      0.10598791546255662,
      0.10428378287987754,
      0.10260585143843917,
      0.10095371530977439,
      0.0993269750163454,
      0.09772523737065099,
      0.09614811539784565,
      0.09459522824688973,
      0.09306620109135644,
      0.09156066505684815,
      0.09007825695254153,
      0.08861861938525263,
      0.08718140057515229,
      0.0857662542291082,
      0.08437283958949487,
      0.08300082120930487,
      0.08164986887977865,
      0.08031965751598555,
      0.07900986717815191,
      0.0777201829968419,
      0.07645029494451563,
      0.07519989772921928,
      0.07396869097560638,
      0.07275637891477148,
      0.07156267054554401,
      0.07038727933590072,
      0.06922992308689992,
      0.06809032406998014,
      0.06696820880497688,
      0.0658633082263272,
      0.06477535736875514,
      0.06370409542746765,
      0.06264926568772194,
      0.06161061527173547,
      0.06058789534868055,
      0.05958086079937508,
      0.058589270493179135,
      0.05761288698763408,
      0.05665147649022619,
      0.05570480880188757,
      0.054772657251600174,
      0.05385479872348902,
      0.052951013624304696,
      0.05206108571783287,
      0.05118480207356122,
      0.050321953148592946,
      0.049472332589872,
      0.0486357371151771,
      0.04781196671084722,
      0.04700082441265275,
      0.046202116279465424,
      0.04541565139104789,
      0.04464124173010459,
      0.043878702228065926,
      0.04312785085078539,
      0.04238850820560356,
      0.04166049757238272,
      0.040943644957303314,
      0.040237779023245476,
      0.03954273125965377,
      0.03885833569218974,
      0.03818442875817586,
      0.03752084949000923,
      0.03686743957839576,
      0.03622404314027304,
      0.035590506441887146,
      0.034966678158315674,
      0.034352409406610704,
      0.03374755359470748,
      0.033151966259600575,
      0.03256550532122042,
      0.03198803080135666,
      0.031419404887930394,
      0.03085949190587024,
      0.03030815825794693,
      0.029765272386606725,
      0.02923070469879712,
      0.02870432766413392,
      0.02818601581255296,
      0.02767564539039216,
      0.027173094659062567,
      0.02667824367993807,
      0.026190974437025012,
      0.025711170718829595,
      0.025238718134786984,
      0.024773503985777576,
      0.024315417294019724,
      0.023864348712407578,
      0.023420190739159633,
      0.02298283748785714,
      0.022552184680296062,
      0.02212812957534296,
      0.0217105709294664,
      0.021299409274604716,
      0.020894546573232375,
      0.020495886298873004,
      0.020103333433443022,
      0.0197167943369134,
      0.019336176844895196,
      0.01896139020009295,
      0.018592345123175265,
      0.01822895360922678,
      0.017871128901029043,
      0.017518785728153387,
      0.017171840144447843,
      0.0168302094344663,
      0.016493812240955884,
      0.01616256829687881,
      0.01583639863897054,
      0.015515225507927994,
      0.015198972317261718,
      0.014887563709388013,
      0.014580925412595414,
      0.01427898439542342,
      0.013981668707440026,
      0.013688907445297778,
      0.013400630818100995,
      0.013116770223775082,
      0.01283725795451602,
      0.01256202735107953,
      0.012291012789467726,
      0.012024149671758553,
      0.011761374465233225,
      0.011502624548799585,
      0.0112478382151781,
      0.010996954772633504,
      0.010749914408509873,
      0.01050665818382376,
      0.010267128196311651,
      0.010031267289523858,
      0.009799019331469688,
      0.009570328936924753,
      0.009345141568158086,
      0.009123403645655842,
      0.008905062350384862,
      0.008690065588379363,
      0.008478362040853789,
      0.00826990128085115,
      0.008064633696222435,
      0.007862510390362986,
      0.007663483276723892,
      0.0074675047754740684,
      0.007274528250272109,
      0.007084507672507526,
      0.006897397777943914,
      0.0067131540226223274,
      0.006531732535182345,
      0.0063530900019955665,
      0.0061771839044105345,
      0.006003972294512553,
      0.005833413904162414,
      0.005665468015071444,
      0.005500094610720667,
      0.005337254339036615,
      0.005176908403242216,
      0.005019018543232061,
      0.004863547165169679,
      0.0047104572321501476,
      0.00455971222707423,
      0.004411276168086357,
      0.00426511385575685,
      0.004121190397419785,
      0.0039794715411331835,
      0.0038399234903693886,
      0.00370251301932403,
      0.003567207323455593,
      0.0034339741261131458,
      0.003302781787163858,
      0.0031735989624666586,
      0.003046395015454003,
      0.0029211394447472678,
      0.0027978024518653037,
      0.002676354633268231,
      0.0025567670047721832,
      0.002439011250492784,
      0.002323059274486256,
      0.002208883338572739,
      0.0020964563351043406,
      0.0019857513561162845,
      0.0018767421030019837,
      0.0017694025986939852,
      0.0016637073275303882,
      0.0015596310332241018,
      0.0014571488615489855,
      0.0013562364726562276,
      0.0012568698117788948,
      0.0011590252567971198,
      0.0010626794425133462,
      0.0009678093790303046,
      0.0008743925396086199,
      0.0007824065494494727,
      0.0006918295561056756,
      0.0006026400162797724,
      0.000514816636660622,
      0.00042833844314072735,
      0.00034318486377307375,
      0.0002593356416428943,
      0.00017677087631124772,
      9.547078653455077e-05,
      1.5415906270939493e-05,
      -6.34127184405192e-05,
      -0.0001410338262287371,
      -0.000217465988840402,
      -0.00029272747388816623,
      -0.00036683621487728507,
      -0.00043980979888204465,
      -0.0005116655419428345,
      -0.000582420697136329,
      -0.0006520920259419005,
      -0.0007206961567233291,
      -0.0007882494402051338,
      -0.0008547678990479745,
      -0.000920267468887548,
      -0.0009847637937281761,
      -0.0010482721855806561,
      -0.0011108077672863155,
      -0.001172385563712958,
      -0.0012330202107431378,
      -0.0012927261083993202,
      -0.0013515174391647462,
      -0.001409408274173006,
      -0.0014664123617390478,
      -0.0015225431685014933,
      -0.0015778141612230077,
      -0.0016322385288278622,
      -0.0016858293042645038,
      -0.0017385991675254147,
      -0.0017905607180853376,
      -0.0018417263271528893,
      -0.0018921081990697208,
      -0.0019417183937392322,
      -0.00199056875930604,
      -0.0020386707880452734,
      -0.0020860360176593487,
      -0.002132675707546698,
      -0.0021786009720372525,
      -0.0022238227987152145,
      -0.0022683519324761797,
      -0.002312199019502306,
      -0.002355374528147099,
      -0.002397888662907981,
      -0.002439751665163488,
      -0.0024809734017601764,
      -0.002521563709266333,
      -0.0025615322796441096,
      -0.0026008886477639007,
      -0.0026396421139748133
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335200048486586,
      10.09521824961317,
      9.849719608301227,
      9.60132249815498,
      9.352324755243211,
      9.104724175016749,
      8.86018867051923,
      8.620041600089495,
      8.385261771060245,
      8.156498986782113,
      7.934103363904857,
      7.718165114190826,
      7.508560946946666,
      7.305002701976659,
      7.107085854106531,
      6.91433332966392,
      6.726232879038961,
      6.54226821519289,
      6.361942840987263,
      6.1847991916583345,
      6.01042862049636,
      5.838472555147215,
      5.668643764851439,
      5.500735819152915,
      5.334618644318812,
      5.170240469987592,
      5.007628873998108,
      4.846874731752814,
      4.68813758098141,
      4.531652577938177,
      4.37773932419871,
      4.226758416299304,
      4.079093761339445,
      3.9351390551737375,
      3.795286335632764,
      3.659910385104804,
      3.5293487841589184,
      3.403893028529323,
      3.2837821917837946,
      3.169199019137209,
      3.0602683938727226,
      2.9570481976716243,
      2.85952411519989,
      2.767604504828641,
      2.68113804434853,
      2.59992775368568,
      2.5237379252243866,
      2.4523154670435976,
      2.385406212974372,
      2.3227412724738827,
      2.2640183130820346,
      2.208902154665281,
      2.1570157552537643,
      2.1079963505717636,
      2.0615018933260134,
      2.017220636283192,
      1.974877953552301,
      1.9342454463673515,
      1.8951332610905172,
      1.857391259553977,
      1.82089738686018,
      1.7855472338431553,
      1.751249157587363,
      1.7179282475574273,
      1.6855227615363748,
      1.6539805998831019,
      1.6232568257279933,
      1.5933119165365626,
      1.5641105250137848,
      1.5356205964621614,
      1.5078125418718067,
      1.4806567974121796,
      1.4541251615239734,
      1.428192563850934,
      1.4028367759296936,
      1.3780374752869429,
      1.353776439195858,
      1.330036273704419,
      1.3068001488960153,
      1.28405293579481,
      1.261781501765893,
      1.2399726758893665,
      1.218613741153434,
      1.1976942150231702,
      1.1772036869201798,
      1.1571311923915268,
      1.1374656962605212,
      1.1181971058950926,
      1.0993157323391605,
      1.0808121631499756,
      1.0626770135072972,
      1.044900806649599,
      1.027474134136346,
      1.0103877544866504,
      0.9936326531296759,
      0.9772000752967287,
      0.9610815431866278,
      0.9452688619877734,
      0.9297541197191675,
      0.9145296817619579,
      0.8995881832709612,
      0.8849225204027216,
      0.8705258403670831,
      0.8563915309071853,
      0.8425132105631047,
      0.8288847187780665,
      0.8155001062189704,
      0.8023536254206526,
      0.7894397223640373,
      0.7767530274305157,
      0.7642883475765537,
      0.7520406585129571,
      0.740005097375373,
      0.7281769561343289,
      0.7165516746452052,
      0.7051248347745565,
      0.693892154314574,
      0.6828494810723263,
      0.671992787821751,
      0.6613181671246702,
      0.650821826220169,
      0.6405000829153029,
      0.6303493509716488,
      0.6203660904839436,
      0.610546855853731,
      0.600888350049301,
      0.5913874028657246,
      0.5820409268975502,
      0.5728459145854828,
      0.5637994766440201,
      0.5548991416547463,
      0.5461425817680373,
      0.5375273658531132,
      0.5290510189417642,
      0.5207110594096651,
      0.5125050225535205,
      0.5044304748606365,
      0.49648502338981715,
      0.488666320621259,
      0.48097206710194357,
      0.47340001267806125,
      0.46594795684683243,
      0.4586137480173872,
      0.4513952828668457,
      0.44429050519437385,
      0.4372974047431029,
      0.4304141130466798,
      0.42363939582455756,
      0.4169721097167175,
      0.41041085930560295,
      0.40395410168856644,
      0.397600212400881,
      0.39134752791741045,
      0.3851943724709213,
      0.37913907481120035,
      0.373179978814725,
      0.3673156031570717,
      0.3615446571531904,
      0.3558657781231045,
      0.3502775420752787,
      0.34477823304397265,
      0.3393659977163408,
      0.3340391401632883,
      0.3287960761995216,
      0.323635321517869,
      0.3185555652301794,
      0.3135555283287616,
      0.30863370322356437,
      0.30378854710199016,
      0.2990186322787818,
      0.29432262672311976,
      0.28969927604402135,
      0.2851473666297517,
      0.28066571661226725,
      0.2762531717437144,
      0.2719086031757338,
      0.26763090522783456,
      0.2634189943487577,
      0.25927180789575305,
      0.2551883033796523,
      0.25116751154203476,
      0.247208822046468,
      0.24331168123053346,
      0.23947538825887818,
      0.23569915138093797,
      0.23198212434667506,
      0.22832343063018562,
      0.22472217929288832,
      0.22117747524536344,
      0.21768842612307504,
      0.21425414652946745,
      0.210873760858855,
      0.20754640514499637,
      0.2042712096580243,
      0.201047234384783,
      0.19787355540327767,
      0.19474930027955648,
      0.1916736351651451,
      0.1886457557982636,
      0.18566488205493364,
      0.18273025389282568,
      0.17984112866191937,
      0.17699677921166213,
      0.17419649270041146,
      0.1714395695301321,
      0.16872532265233103,
      0.1660530772550545,
      0.16342217006137238,
      0.16083194914086013,
      0.15828177349589373,
      0.15577101296897758,
      0.15329904773343858,
      0.15086526818698573,
      0.14846907493003964,
      0.14610987835226916,
      0.14378709851970695,
      0.14150016508252958,
      0.13924851707028427,
      0.13703160244033832,
      0.1348488782882066,
      0.13269981043561702,
      0.1305838734135161,
      0.1285005503054946,
      0.1264493324516854,
      0.12442971936189585,
      0.12244121870472444,
      0.12048334602301945,
      0.11855562461354521,
      0.11665758543088296,
      0.1147887671303188,
      0.11294871546049397,
      0.11113698360804307,
      0.10935313184042038,
      0.10759672731183846,
      0.105867344292715,
      0.1041645636076112,
      0.10248797283337095,
      0.10083716599749547,
      0.09921174373726478,
      0.09761131291472322,
      0.09603548660914804,
      0.09448388409838412,
      0.09295613046724564,
      0.09145185687171459,
      0.08997070023230685,
      0.08851230317000663,
      0.0870763139176386,
      0.08566238624082496,
      0.08427017948035641,
      0.08289935832760537,
      0.0815495925332234,
      0.08022055702779066,
      0.0789119318634297,
      0.07762340228538743,
      0.07635465830020759,
      0.07510539480171374,
      0.07387531145374827,
      0.07266411252305591,
      0.07147150701857267,
      0.07029720842766514,
      0.06914093458314133,
      0.06800240784527482,
      0.06688135496604905,
      0.06577750686466002,
      0.06469059861875265,
      0.0636203694387939,
      0.062566562524206,
      0.06152892518250554,
      0.060507208667313066,
      0.05950116795812378,
      0.058510561894270646,
      0.057535153081360584,
      0.05657470783709595,
      0.05562899593159671,
      0.05469779089403931,
      0.05378086969370479,
      0.05287801280656662,
      0.0519890039829022,
      0.05111363035819747,
      0.05025168242089318,
      0.04940295388125299,
      0.04856724163533753,
      0.04774434564865649,
      0.046934068994313724,
      0.04613621793842377,
      0.04535060157276898,
      0.044577031900388746,
      0.043815323957799475,
      0.04306529554161654,
      0.042326767327197666,
      0.041599562747015775,
      0.04088350794006287,
      0.04017843181655269,
      0.03948416573869188,
      0.038800543761125156,
      0.03812740259233159,
      0.0374645812542232,
      0.036811921364930035,
      0.03616926698881051,
      0.03553646460133469,
      0.03491336308520624,
      0.034299813506977486,
      0.033695669369359874,
      0.03310078636411773,
      0.03251502236554583,
      0.031938237435570616,
      0.03137029375448817,
      0.03081105576368154,
      0.030260389916034146,
      0.029718164803259933,
      0.02918425080782317,
      0.028658520519058397,
      0.0281408484005037,
      0.027631110814672066,
      0.027129186124971522,
      0.026634954500086187,
      0.026148297954208474,
      0.025669100350199408,
      0.025197247231576597,
      0.024732625915474763,
      0.024275125522573295,
      0.023824637045912225,
      0.02338105284153286,
      0.022944267117013705,
      0.022514175619175486,
      0.022090675639447284,
      0.02167366615407348,
      0.021263047613245042,
      0.020858722004410787,
      0.020460592834396447,
      0.020068565190344993,
      0.01968254552074277,
      0.019302441701516185,
      0.018928163095156224,
      0.018559620360858814,
      0.018196725556424133,
      0.01783939202882931,
      0.017487534621898785,
      0.017141069393642096,
      0.0167999136878423,
      0.01646398612826307,
      0.016133206535074808,
      0.015807496005144746,
      0.015486776888892329,
      0.015170972581189008,
      0.014860007768434616,
      0.014553808336775458,
      0.014252301240472349,
      0.013955414470053763,
      0.013663077253324048,
      0.013375219867059711,
      0.013091773617942627,
      0.012812670929521076,
      0.012537845337838542,
      0.01226723120562187,
      0.01200076390358629,
      0.011738379957829398,
      0.011480016749713379,
      0.01122561262682087,
      0.010975107004561818,
      0.010728440045786394,
      0.010485552909461165,
      0.010246387704418656,
      0.010010887491168331,
      0.009778995988624231,
      0.009550657913072424,
      0.009325818824886836,
      0.009104425067670318,
      0.008886423875641182,
      0.008671763192241777,
      0.00846039189845633,
      0.008252259592876484,
      0.008047316642361446,
      0.007845514190649596,
      0.007646804068509311,
      0.007451138833633803,
      0.007258471832617873,
      0.007068757215120203,
      0.006881949652070479,
      0.0066980046413605155,
      0.006516878244006951,
      0.006338527331612803,
      0.006162909385299466,
      0.00598998251343312,
      0.005819705382440503,
      0.005652037417156949,
      0.005486938737229755,
      0.0053243700194029655,
      0.005164292324402984,
      0.005006667630985173,
      0.004851458279436043,
      0.004698627294673568,
      0.004548138171080289,
      0.004399954989948676,
      0.0042540423740764725,
      0.0041103656097351456,
      0.003968890446544451,
      0.003829583211226115,
      0.0036924105993717134,
      0.003557339836986791,
      0.003424338780890772,
      0.0032933756718695733,
      0.0031644193406524133,
      0.003037439117297829,
      0.002912404634228604,
      0.0027892861019421173,
      0.002668054198475311,
      0.0025486799285748094,
      0.0024311348725303506,
      0.002315390966508499,
      0.002201420576732198,
      0.002089196562802478,
      0.0019786921776878182,
      0.001869881121420444,
      0.0017627373745034032,
      0.0016572354010492383,
      0.0015533499785670283,
      0.0014510563787908351,
      0.0013503303405454764,
      0.0012511478091620678,
      0.0011534850711781902,
      0.0010573188963643176,
      0.0009626263131090436,
      0.0008693846262668412,
      0.0007775716971962167,
      0.0006871656466707557,
      0.0005981449981889256,
      0.0005104884345708582,
      0.00042417503862483054,
      0.00033918431935656053,
      0.0002554958322764474,
      0.0001730897100860327,
      9.194636818223557e-05,
      1.2046364133746985e-05,
      -6.662935393104712e-05,
      -0.00014409945238012437,
      -0.00022038249529434978,
      -0.00029549662275855893,
      -0.0003694597240815829,
      -0.0004422894889023101,
      -0.0005140032729605624,
      -0.0005846182299065687,
      -0.0006541512641856909,
      -0.0007226188174606592,
      -0.0007900372196277753,
      -0.0008564225361815438,
      -0.0009217905807668086,
      -0.000986156913579337,
      -0.0010495368961148522,
      -0.0011119457386472187,
      -0.0011733982992597918,
      -0.0012339092565271698,
      -0.0012934929828512143,
      -0.0013521637025063664,
      -0.0014099354394406052,
      -0.0014668218561302885,
      -0.0015228365550813566,
      -0.001577992928882795,
      -0.001632304155350109,
      -0.0016857831731786417,
      -0.0017384426624483264,
      -0.001790295260076797,
      -0.001841353342140476,
      -0.0018916290915903986,
      -0.0019411344250235927,
      -0.001989881135276094,
      -0.0020378808992273442,
      -0.002085145215652335,
      -0.0021316852911626547,
      -0.00217751224355558,
      -0.0022226369734356863,
      -0.0022670701879567573,
      -0.0023108224556891714,
      -0.0023539043116623023,
      -0.0023963260315621707,
      -0.0024380977225527726,
      -0.0024792293699269804,
      -0.002519730787294366,
      -0.0025596116230316946,
      -0.002598881385502668,
      -0.0026375495185407276
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335196597953304,
      10.095205742483815,
      9.849692243842325,
      9.601276126369596,
      9.352256505000028,
      9.1046321907157,
      8.860071874056167,
      8.61989948323444,
      8.38509429146215,
      8.156306333056078,
      7.933885768072924,
      7.717922852295617,
      7.50829428463218,
      7.304711855461612,
      7.106771000196021,
      6.913994718571667,
      6.725870769470648,
      6.541882878506759,
      6.361534650517767,
      6.184368628551271,
      6.009976393354471,
      5.837999599667099,
      5.668151197037739,
      5.500224992825277,
      5.334091145355092,
      5.1696981180671795,
      5.007073591745161,
      4.846308711801523,
      4.687563330957879,
      4.531073085108831,
      4.377158148840558,
      4.2261790861431825,
      4.078519759819948,
      3.934573760103971,
      3.794733101702651,
      3.6593723652650962,
      3.528828792339459,
      3.4033934989560177,
      3.2833051529559594,
      3.16874607971049,
      3.0598407413535056,
      2.9566464765283356,
      2.859148393878937,
      2.767254322060749,
      2.6808124215177322,
      2.5996250751587673,
      2.523456303700116,
      2.4520529355506544,
      2.3851606929284532,
      2.322510515864286,
      2.2638000395213593,
      2.2086938238791887,
      2.156814744429263,
      2.1078003249356105,
      2.06130874263375,
      2.0170284570178896,
      1.9746852348804125,
      1.9340510588214246,
      1.8949363866397668,
      1.857191316878027,
      1.82069396648094,
      1.7853400212045472,
      1.7510379386440764,
      1.7177129007640997,
      1.6853032315633667,
      1.6537568772340316,
      1.6230289327595697,
      1.5930798975682314,
      1.563874439627568,
      1.53538051467919,
      1.5075685562653232,
      1.4804090265799394,
      1.453873703569975,
      1.4279375083055694,
      1.402578230571133,
      1.3777755526792501,
      1.3535112483161857,
      1.3297679132929243,
      1.3065287098431901,
      1.283778649908883,
      1.2615046091697812,
      1.2396933589400645,
      1.2183322489388033,
      1.197410917035351,
      1.176918844267908,
      1.1568449940536503,
      1.1371782937932935,
      1.117908633775067,
      1.099026299705151,
      1.0805218664872713,
      1.0623859311049004,
      1.0446090042777716,
      1.0271816695848148,
      1.0100946799002526,
      0.993339016212525,
      0.9769059209119606,
      0.9607869143866917,
      0.9449738004261522,
      0.9294586658510311,
      0.9142338752401928,
      0.8992920631313981,
      0.8846261249376292,
      0.8702292067870434,
      0.8560946962158236,
      0.8422162111019611,
      0.8285875906804153,
      0.8152028849913808,
      0.8020563459242065,
      0.7891424187362921,
      0.7764557335085308,
      0.7639910966005163,
      0.7517434831531138,
      0.7397080299283012,
      0.7278800285599911,
      0.716254918419136,
      0.7048282805288344,
      0.6935958318517781,
      0.6825534198802234,
      0.6716970168429371,
      0.6610227147990757,
      0.650526720621759,
      0.6402053514495125,
      0.6300550198619146,
      0.6200721844771584,
      0.6102534036392242,
      0.6005953886454961,
      0.5910949656397994,
      0.5817490437335036,
      0.5725546126703466,
      0.5635088280342742,
      0.5546092808422941,
      0.5458536011209799,
      0.5372393305522426,
      0.5287639761896058,
      0.5204250443193331,
      0.5122200622634918,
      0.5041465916511227,
      0.49620223599774466,
      0.48838464518182656,
      0.48069151797488785,
      0.4731206031362318,
      0.4656696990437445,
      0.4583366534810519,
      0.451119362452403,
      0.44401576928475367,
      0.4370238632655021,
      0.4301418226587792,
      0.4233684766136654,
      0.41670263904504107,
      0.41014288738459503,
      0.40368766098447306,
      0.3973353241252917,
      0.3910842059045561,
      0.3849326253713466,
      0.3788789079325528,
      0.37292139541307645,
      0.36705863115931414,
      0.3612893244933609,
      0.35561210159523776,
      0.35002553133836123,
      0.3445279765990026,
      0.3391175861120406,
      0.33379262994611864,
      0.3285515017525319,
      0.3233927088740801,
      0.3183149393991863,
      0.31331690339601004,
      0.30839708713200004,
      0.30355394224557425,
      0.29878603718033514,
      0.29409203913280313,
      0.289470692330491,
      0.2849207814187445,
      0.2804411230903218,
      0.2760305623998813,
      0.2716879699786764,
      0.26741223982440815,
      0.26320228805604445,
      0.2590570518171198,
      0.2549754882253071,
      0.2509566371746681,
      0.24699990058342058,
      0.24310471672029932,
      0.23927037962602496,
      0.23549609402447985,
      0.2317810112276838,
      0.22812425320865154,
      0.22452492792329207,
      0.2209821395666182,
      0.21749499526668564,
      0.21406260932420862,
      0.21068410584249667,
      0.20735862064987393,
      0.20408528172036292,
      0.20086314597722157,
      0.19769129140749042,
      0.19456884687885895,
      0.1914949791524593,
      0.18846888450901272,
      0.1854897831865603,
      0.182556915261251,
      0.17966953828839294,
      0.17682692526965463,
      0.17402836334775518,
      0.1712731529505208,
      0.1685606071214237,
      0.16589005099011767,
      0.16326082126088695,
      0.1606722659470483,
      0.15812374408367796,
      0.15561462543083399,
      0.15314429025615908,
      0.15071212904370662,
      0.14831754235126327,
      0.14595994061240797,
      0.14363874389622105,
      0.1413533818338033,
      0.1391032932664208,
      0.1368879263528169,
      0.1347067381435865,
      0.13255919449965706,
      0.13044476992865656,
      0.12836294752987104,
      0.12631321865291728,
      0.1242950829254634,
      0.1223080479942527,
      0.12035162940551644,
      0.11842535046530261,
      0.11652874223238209,
      0.11466134324293593,
      0.11282269933525527,
      0.11101236372067651,
      0.10922989665199034,
      0.10747486538808729,
      0.10574684420699042,
      0.10404541406032645,
      0.1023701625106382,
      0.1007206837287675,
      0.09909657827134578,
      0.09749745307087546,
      0.09592292116087502,
      0.09437260173985891,
      0.09284612016074614,
      0.0913431076042142,
      0.0898632010522219,
      0.08840604314761713,
      0.08697128230885845,
      0.08555857233684816,
      0.08416757244133188,
      0.082797947193856,
      0.08144936654757944,
      0.08012150558624676,
      0.07881404455263903,
      0.07752666848460883,
      0.0762590675237285,
      0.07501093658652694,
      0.07378197537168953,
      0.07257188818642149,
      0.07138038403172957,
      0.07020717650698244,
      0.06905198362031166,
      0.06791452782170537,
      0.06679453578779472,
      0.06569173853761875,
      0.06460587121718653,
      0.06353667307429932,
      0.062483887403692366,
      0.061447261574078024,
      0.0604265468031042,
      0.059421498248334884,
      0.058431874849408226,
      0.057457439323834986,
      0.05649795786504357,
      0.05555320046430005,
      0.05462294061051516,
      0.05370695531181264,
      0.052805025114065075,
      0.05191693397723788,
      0.0510424689638083,
      0.050181420638940495,
      0.04933358275493955,
      0.04849875220912728,
      0.04767672911826043,
      0.046867316650673244,
      0.04607032112768656,
      0.04528555160242738,
      0.04451282030804811,
      0.0437519422622122,
      0.04300273537207436,
      0.042265020372133394,
      0.04153862071866091,
      0.04082336262828685,
      0.04011907503480375,
      0.03942558936534429,
      0.03874273982582512,
      0.038070363076435285,
      0.037408298317409265,
      0.03675638718751506,
      0.036114473770033045,
      0.035482404643529135,
      0.03486002867496752,
      0.034247197060010726,
      0.033643763225915245,
      0.0330495830328968,
      0.03246451447538586,
      0.03188841767504991,
      0.03132115494526285,
      0.030762590724371805,
      0.030212591459609195,
      0.02967102575997208,
      0.02913776421363089,
      0.02861267935930894,
      0.028095645792664416,
      0.02758653996230329,
      0.027085240182980638,
      0.026591626770733484,
      0.026105581797483946,
      0.025626989113224682,
      0.025155734311688854,
      0.024691704906255014,
      0.02423479008076329,
      0.023784880643739754,
      0.023341869231236836,
      0.022905649924654187,
      0.022476118529608635,
      0.022053172454392346,
      0.02163671082358196,
      0.021226634127565754,
      0.02082284445026717,
      0.020425245327098995,
      0.02003374190178339,
      0.019648240580098668,
      0.019268649395169785,
      0.01889487768507537,
      0.018526836208699222,
      0.018164437075780252,
      0.017807593758871747,
      0.017456221085094432,
      0.01711023519515528,
      0.016769553322537867,
      0.016434094194767976,
      0.016103777765403584,
      0.015778525224916577,
      0.015458258939805932,
      0.015142902421947893,
      0.01483238026386809,
      0.014526618473098512,
      0.01422554408656139,
      0.013929085177262754,
      0.013637170896566858,
      0.013349731616237407,
      0.013066698763609884,
      0.012788004705297656,
      0.012513582914625482,
      0.012243367882560837,
      0.011977295165802818,
      0.011715301356975346,
      0.011457323816695819,
      0.011203300924254079,
      0.010953172082968372,
      0.010706877635311004,
      0.010464358701178737,
      0.010225557422628144,
      0.009990416838289367,
      0.00975888088273967,
      0.009530894198475425,
      0.009306402395800354,
      0.009085351909247901,
      0.008867689997476079,
      0.00865336467621462,
      0.008442324826085916,
      0.008234520036413328,
      0.0080299007638733,
      0.00782841822053964,
      0.0076300242397162165,
      0.007434671494307682,
      0.007242313317221978,
      0.007052903740920261,
      0.006866397654348675,
      0.006682750555590414,
      0.00650191854927614,
      0.006323858498603315,
      0.006148527989723562,
      0.0059758850951249385,
      0.005805888667516019,
      0.005638498164977499,
      0.005473673657756581,
      0.0053113758112706185,
      0.005151565808094897,
      0.0049942056346319215,
      0.004839257626387399,
      0.004686684778412809,
      0.004536450746062395,
      0.004388519664291802,
      0.004242856140571419,
      0.004099425421180728,
      0.0039581933629240255,
      0.0038191262611398887,
      0.003682190863484996,
      0.0035473545638543213,
      0.0034145852554180976,
      0.0032838511154793695,
      0.003155120970359426,
      0.0030283641476478588,
      0.0029035503620897167,
      0.002780649844736329,
      0.0026596333153383264,
      0.0025404718480882054,
      0.002423136980943538,
      0.0023076006482866548,
      0.0021938353379172882,
      0.0020818138876374835,
      0.0019715096267528924,
      0.001862896207756886,
      0.001755947744641385,
      0.0016506386030945383,
      0.0015469437896359125,
      0.0014448384973258118,
      0.0013442983838329835,
      0.001245299456445256,
      0.0011478180991066381,
      0.001051831043150181,
      0.0009573153586006795,
      0.000864248402322485,
      0.000772608066451856,
      0.0006823724623823296,
      0.0005935201149024286,
      0.0005060298077674765,
      0.0004198806531196306,
      0.0003350520414082373,
      0.00025152385932916075,
      0.00016927611815920496,
      8.828908542825141e-05,
      8.543455462986922e-06,
      -6.997971373582434e-05,
      -0.00014729918305389077,
      -0.000223433434069265,
      -0.0002984006588903178,
      -0.00037221880615280126,
      -0.00044490547978981405,
      -0.0005164780017066274,
      -0.0005869534671196195,
      -0.0006563486463906855,
      -0.000724680057021282,
      -0.0007919640031456134,
      -0.0008582165631053651,
      -0.0009234535192444205,
      -0.000987690445104696,
      -0.0010509426901853627,
      -0.0011132252813727966,
      -0.0011745531281842142,
      -0.001234940801214196,
      -0.0012944028440512575,
      -0.0013529534167217247,
      -0.0014106065041114765,
      -0.001467375824337092,
      -0.0015232749909427593,
      -0.0015783172927781339,
      -0.001632515777933454,
      -0.001685883495879119,
      -0.0017384331286414778,
      -0.0017901772443961463,
      -0.001841128187704184,
      -0.0018912980961812206,
      -0.001940698903586561,
      -0.001989342450311735,
      -0.0020372403961768223,
      -0.0020844041009952016,
      -0.0021308447836551935,
      -0.002176573572367813,
      -0.002221601446760539,
      -0.002265939121757635,
      -0.0023095971724889537,
      -0.0023525860885309,
      -0.0023949160668639714,
      -0.0024365971666625323,
      -0.0024776392340439333,
      -0.002518052220715906,
      -0.002557845809604476,
      -0.002597029306462089,
      -0.0026356120963014623
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335193153420747,
      10.095193253035898,
      9.849664911182625,
      9.601229799141066,
      9.352188313588663,
      9.104540283293181,
      8.859955175020387,
      8.619757485354983,
      8.38492687774983,
      8.15611362937619,
      7.933668025067292,
      7.717680364089147,
      7.508027333628156,
      7.304420669970326,
      7.10645577837557,
      6.913655728658279,
      6.725508276569684,
      6.541497159906145,
      6.361126084549479,
      6.183937699730577,
      6.009523813614365,
      5.837526307053824,
      5.667658309999635,
      5.4997138668463945,
      5.33356336706694,
      5.169155506786734,
      5.006518070782363,
      4.845742475079455,
      4.686988886416022,
      4.530493418879055,
      4.376576822917685,
      4.225599630816605,
      4.077945659200357,
      3.934008428774119,
      3.7941799258185713,
      3.658834487134805,
      3.5283090155962293,
      3.4028942488010547,
      3.282828448135614,
      3.1682935193741653,
      3.0594135038178534,
      2.9562451969574757,
      2.858773131479352,
      2.766904607885951,
      2.6804872782219493,
      2.5993228878262022,
      2.5231751783637093,
      2.4517909001934632,
      2.3849156653863166,
      2.322280246381309,
      2.2635822459600825,
      2.208485964986516,
      2.1566141963226806,
      2.1076047522650594,
      2.061116034115476,
      2.0168367094083233,
      1.9744929381368153,
      1.9338570841409064,
      1.8947399171842463,
      1.8569917728637675,
      1.820490939998989,
      1.7851331986850656,
      1.7508271066703198,
      1.717497938465254,
      1.6850840832600238,
      1.653533533579534,
      1.6228014165039124,
      1.5928482534116086,
      1.5636387276203612,
      1.5351408047867987,
      1.507324940988632,
      1.4801616243756701,
      1.4536226130434025,
      1.427682825522058,
      1.4023200610771698,
      1.3775140090276083,
      1.3532464384371385,
      1.329499934606423,
      1.306257652814648,
      1.2835047455438664,
      1.2612280973761025,
      1.239414422599462,
      1.218051206632413,
      1.1971281136403118,
      1.1766345240135487,
      1.1565593348143661,
      1.1368914399506818,
      1.117620714872116,
      1.0987374223327098,
      1.0802321254377811,
      1.0620954026559404,
      1.0443177531877177,
      1.026889752813442,
      1.0098021490946758,
      0.9930459192654606,
      0.9766123027461734,
      0.9604928179845104,
      0.9446792676470714,
      0.9291637374278551,
      0.9139385910731272,
      0.898996462117118,
      0.8843302449422115,
      0.8699330854769727,
      0.8557983705587441,
      0.8419197177761976,
      0.8282909655101953,
      0.8149061632397936,
      0.8017595625269,
      0.7888456082742575,
      0.7761589297922216,
      0.7636943328556302,
      0.7514467920716104,
      0.7394114436615865,
      0.7275835783984788,
      0.7159586355831921,
      0.7045321957059693,
      0.6932999754142639,
      0.6822578215356159,
      0.6714017054803081,
      0.6607277189887104,
      0.6502320680901559,
      0.6399110696658328,
      0.6297611351169039,
      0.6197787214613092,
      0.6099603926413695,
      0.6003028673248154,
      0.5908029668178152,
      0.5814575965009728,
      0.5722637437051379,
      0.5632186289415347,
      0.5543198792063155,
      0.54556508504684,
      0.5369517621576673,
      0.5284774007271577,
      0.5201394958301035,
      0.5119355673823669,
      0.5038631718308697,
      0.49591990940553426,
      0.48810342776607507,
      0.4804114241635221,
      0.472841645965103,
      0.4653918907339246,
      0.4580600055761837,
      0.45084388584756996,
      0.44374147432508754,
      0.4367507598896203,
      0.4298699675081595,
      0.4230979900116186,
      0.4164335983337411,
      0.4098753427026307,
      0.40342164502829597,
      0.3970708579023405,
      0.3908213029147985,
      0.38467129441021125,
      0.3786191545506343,
      0.37266322287698933,
      0.36680206730151554,
      0.3610343972257257,
      0.35535882773631694,
      0.34977392041475824,
      0.3442781172285775,
      0.33886956905746213,
      0.3335465119509574,
      0.3283073170880019,
      0.32315048368658866,
      0.3180746988078749,
      0.31307866152868236,
      0.30816085170332114,
      0.30331971540396696,
      0.29855381760453054,
      0.29386182445655973,
      0.289242478672929,
      0.28469456328923015,
      0.28021689392056753,
      0.2758083148028535,
      0.27146769590072584,
      0.26719393088357046,
      0.2629859355972903,
      0.2588426468885514,
      0.2547630218820964,
      0.25074610909672884,
      0.2467913227115308,
      0.24289809316067826,
      0.23906570904820462,
      0.23529337165299735,
      0.23158023013235354,
      0.22792540488571345,
      0.22432800270377523,
      0.22078712706982184,
      0.2173018845697837,
      0.21387138914133996,
      0.21049476476475112,
      0.20717114700217268,
      0.20389966169983792,
      0.20067936265685002,
      0.19750932973485472,
      0.19438869287776017,
      0.19131661971392983,
      0.18829230709543338,
      0.18531497548612613,
      0.18238386524986588,
      0.17949823387152772,
      0.17665735449613434,
      0.1738605143558661,
      0.17110701385659166,
      0.16839616614929037,
      0.16572729637777112,
      0.16309974117913092,
      0.1605128486210074,
      0.15796597774837906,
      0.1554584982990947,
      0.15298979051752598,
      0.15055924485649008,
      0.14816626194199412,
      0.14581025223539468,
      0.14349063574783405,
      0.14120684206807677,
      0.13895831015634666,
      0.13674448808906414,
      0.134564832893328,
      0.1324188104839836,
      0.13030589547452742,
      0.12822557086085246,
      0.12617732804874612,
      0.12416066673480929,
      0.12217509453300308,
      0.12022012710908275,
      0.11829528781845954,
      0.11640010760983296,
      0.11453412506750192,
      0.11269688610232284,
      0.11088794389530279,
      0.10910685880115865,
      0.10735319819224633,
      0.10562653626820943,
      0.10392645393899164,
      0.10225253875538719,
      0.10060438503330275,
      0.09898159335831805,
      0.0973837706837201,
      0.09581053020185828,
      0.09426149123038662,
      0.09273627905573946,
      0.09123452486710527,
      0.08975586565316604,
      0.08829994415707898,
      0.08686640874344288,
      0.08545491334189328,
      0.0840651172800033,
      0.0826966851410171,
      0.08134928692025077,
      0.08002259780934742,
      0.07871629795127562,
      0.0774300725691753,
      0.07616361183317268,
      0.07491661072603675,
      0.07368876896425278,
      0.07247979090737172,
      0.07128938570684136,
      0.07011726703000623,
      0.06896315290550642,
      0.06782676562897866,
      0.06670783201203194,
      0.06560608317354416,
      0.06452125435049001,
      0.06345308485977268,
      0.06240131815846675,
      0.061365701671040745,
      0.0603459866500812,
      0.059341928185131135,
      0.0583532852667737,
      0.05737982066495021,
      0.05642130076728878,
      0.055477495577198416,
      0.05454817861719473,
      0.05363312700787061,
      0.052732121232435265,
      0.05184494528945662,
      0.050971386492697696,
      0.05011123540766678,
      0.04926428589276974,
      0.04843033490773174,
      0.047609182651819335,
      0.046800632367743844,
      0.04600449032562068,
      0.04522056579609861,
      0.04444867087894235,
      0.04368862066047255,
      0.042940233191694516,
      0.0422033293533243,
      0.041477732630199486,
      0.040763269213355026,
      0.040059768064875295,
      0.03936706075788933,
      0.03868498164154147,
      0.03801336727849009,
      0.037352057004416545,
      0.03670089255313859,
      0.036059718088633716,
      0.035428380205375164,
      0.03480672784192873,
      0.03419461226129229,
      0.033591887075220775,
      0.03299840801326863,
      0.032414033049912416,
      0.03183862246094704,
      0.03127203867258024,
      0.030714146131260205,
      0.030164811454954307,
      0.0296239033193936,
      0.029091292326572007,
      0.028566851160843468,
      0.02805045440939663,
      0.02754197854284058,
      0.02704130197960105,
      0.026548304972796567,
      0.026062869733957262,
      0.025584880169399443,
      0.02511422199241296,
      0.02465078282321865,
      0.024194451800225895,
      0.023745119782595997,
      0.023302679374587028,
      0.022867024925180272,
      0.022438052197186222,
      0.022015658780180344,
      0.02159974375923439,
      0.021190207631625133,
      0.020786952553479465,
      0.020389882109089843,
      0.01999890149331422,
      0.01961391723562645,
      0.019234837292167305,
      0.018861571143024603,
      0.018494029545805844,
      0.01813212471419496,
      0.01777577019634246,
      0.017424880860764706,
      0.017079372836334723,
      0.016739163590619943,
      0.016404171746409707,
      0.016074317386151726,
      0.015749521649706125,
      0.015429706876939361,
      0.01511479671667986,
      0.01480471598648759,
      0.014499390575231497,
      0.014198747642080012,
      0.013902715337456049,
      0.013611222877708577,
      0.013324200528097678,
      0.013041579742918707,
      0.012763293144813238,
      0.012489274260586878,
      0.012219457533953903,
      0.011953778532946685,
      0.01169217379879602,
      0.011434580851593395,
      0.011180938168033392,
      0.01093118517519684,
      0.010685262305598221,
      0.010443110725522458,
      0.010204672543087615,
      0.009969890784513845,
      0.009738709393607667,
      0.009511073132365079,
      0.009286927650653615,
      0.00906621948947487,
      0.008848895781761758,
      0.00863490471952161,
      0.008424195286814217,
      0.008216717123261658,
      0.008012420651012453,
      0.007811256987931428,
      0.0076131781378562845,
      0.007418136814750835,
      0.007226086409949758,
      0.007036981070086379,
      0.006850775631530209,
      0.0066674256785321994,
      0.006486887349919747,
      0.006309117523147358,
      0.006134073734076767,
      0.005961714226723367,
      0.005791997840186319,
      0.0056248839871123855,
      0.005460332729632008,
      0.005298304832612295,
      0.005138761616171513,
      0.004981664930738861,
      0.004826977198559984,
      0.004674661552083994,
      0.004524681708700109,
      0.004377001726243707,
      0.004231586345563925,
      0.004088400845687141,
      0.0039474110918864555,
      0.0038085834720110994,
      0.0036718847387743098,
      0.003537282229266005,
      0.0034047438321263613,
      0.0032742378042744935,
      0.003145733040636916,
      0.003019198843935935,
      0.00289460492542784,
      0.0027719216545709652,
      0.0026511197006226753,
      0.0025321702360171184,
      0.0024150447340369483,
      0.0022997152576215213,
      0.0021861542734123427,
      0.0020743347153211328,
      0.0019642299037635974,
      0.0018558134855040228,
      0.0017490596545994422,
      0.0016439428474589023,
      0.0015404379097218382,
      0.0014385201438018164,
      0.0013381652183402095,
      0.0012393492061972895,
      0.0011420484905214612,
      0.001046239888457958,
      0.0009519004709355632,
      0.0008590077717468289,
      0.0007675394891881661,
      0.0006774737995393752,
      0.0005887891948246429,
      0.0005014645640321814,
      0.00041547900185393905,
      0.0003308119748430572,
      0.00024744334883173734,
      0.00016535311275302125,
      8.452168182821704e-05,
      4.929763267041523e-06,
      -7.344167489461681e-05,
      -0.00015061133213951978,
      -0.00022659760437364587,
      -0.00030141855435217855,
      -0.0003750920590148121,
      -0.00044763588601841043,
      -0.0005190672862319565,
      -0.0005894033861194803,
      -0.0006586609367347354,
      -0.0007268564687176626,
      -0.0007940061916070862,
      -0.0008601262166935999,
      -0.0009252323274444999,
      -0.0009893400416202253,
      -0.0010524647041056667,
      -0.0011146213561521443,
      -0.0011758249343654665,
      -0.0012360899795931144,
      -0.0012954308210806427,
      -0.0013538616964168294,
      -0.001411396610404497,
      -0.0014680492370835521,
      -0.0015238331389523995,
      -0.0015787616357610251,
      -0.0016328478058678132,
      -0.0016861046203733455,
      -0.0017385447839382967,
      -0.0017901807594713952,
      -0.0018410248421194353,
      -0.001891089309835038,
      -0.0019403860004305743,
      -0.0019889267716972467,
      -0.0020367232045071194,
      -0.002083786679848692,
      -0.00213012848115387,
      -0.0021757596154430236,
      -0.0022206910416152988,
      -0.0022649335222066623,
      -0.002308497557538645,
      -0.00235139357980412,
      -0.002393631885692538,
      -0.002435222480106458,
      -0.002476175343923237,
      -0.0025165002121819327,
      -0.002556206650858556,
      -0.0025953041896852077,
      -0.0026338022387877285
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335189714786928,
      10.095180783353523,
      9.849637618678223,
      9.601183539740063,
      9.352120222627958,
      9.10444850917601,
      8.859838641540195,
      8.619615687021415,
      8.384759700844713,
      8.155921201647324,
      7.933450601024844,
      7.7174382393851975,
      7.507760789899269,
      7.304129936649504,
      7.106141072399158,
      6.913317334304772,
      6.725146454997625,
      6.541112184382517,
      6.360718332181919,
      6.183507653531811,
      6.009072183787778,
      5.837054031016514,
      5.667166503400405,
      5.499203883318175,
      5.333036792599913,
      5.168614160404523,
      5.005963874886146,
      4.845177619733614,
      4.686415876123404,
      4.529915236639739,
      4.375997024858036,
      4.225021744870301,
      4.077373167151125,
      3.9334447380309943,
      3.793628414338284,
      3.6582982874843144,
      3.5277909217808965,
      3.402396677164089,
      3.2823534100027874,
      3.1678426064384344,
      3.058987888575982,
      2.955845509400329,
      2.8583994257858194,
      2.7665564114858507,
      2.6801636242308637,
      2.5990221693515343,
      2.522895496981656,
      2.4515302802374097,
      2.3846720215857187,
      2.3220513268545218,
      2.2633657669883633,
      2.208279294312816,
      2.1564147324744067,
      2.1074101799282223,
      2.0609242588308345,
      2.016645840279239,
      1.974301475809931,
      1.9336639098357222,
      1.8945442216324544,
      1.856792981350398,
      1.8202886486665077,
      1.784927096857739,
      1.7506169832683176,
      1.7172836742881297,
      1.6848656244391775,
      1.653310871951233,
      1.6225745751651444,
      1.5926172778921808,
      1.5634036783129797,
      1.5349017520173232,
      1.507081977430065,
      1.4799148687709613,
      1.4533721639378177,
      1.427428784116772,
      1.4020625321105258,
      1.3772531046569805,
      1.3529822662013773,
      1.32923259204477,
      1.3059872299019297,
      1.2832314734040602,
      1.2609522159312727,
      1.2391361139789423,
      1.2177708171509913,
      1.196845977066733,
      1.1763508782716376,
      1.1562743543824825,
      1.136605266734502,
      1.117333476600117,
      1.0984492234721142,
      1.0799430592083592,
      1.0618055456824418,
      1.0440271707143216,
      1.0265985015086456,
      1.0095102800438387,
      0.9927534799329195,
      0.9763193384194591,
      0.9601993720907923,
      0.9443853821123183,
      0.9288694526720532,
      0.9136439464041497,
      0.8987014963198776,
      0.8840349966582187,
      0.8696375923052111,
      0.8555026693695453,
      0.8416238449666212,
      0.8279949569979502,
      0.8146100546020477,
      0.8014633887763302,
      0.7885494036781584,
      0.7758627281160295,
      0.7633981673446916,
      0.7511506955526727,
      0.7391154485092939,
      0.7272877165459634,
      0.7156629380923754,
      0.7042366931696017,
      0.6930046978663921,
      0.6819627983805355,
      0.6711069658207113,
      0.6604332909547189,
      0.6499379798138848,
      0.6396173485194715,
      0.6294678075038157,
      0.6194858125971657,
      0.6096679368842522,
      0.6000109008229417,
      0.5905115212785249,
      0.5811667004957534,
      0.5719734236038291,
      0.5629290001501815,
      0.5540310610719299,
      0.5452771602246486,
      0.5366647893143501,
      0.5281914227610294,
      0.5198545453382694,
      0.511651669951995,
      0.5035803484888626,
      0.49563817790249554,
      0.48782280371759,
      0.4801319215942075,
      0.4725632778679738,
      0.46511466911275623,
      0.45778394175986953,
      0.45056899084868207,
      0.4434677584549659,
      0.43647823313070516,
      0.42959872900332186,
      0.4228281433754831,
      0.4161652107691461,
      0.40960845775085397,
      0.40315629106052986,
      0.3968070533991238,
      0.3905590597479901,
      0.3844106201561711,
      0.378360053869008,
      0.3724057057924803,
      0.36654616471164275,
      0.360780132886072,
      0.35510621574749385,
      0.3495229687466835,
      0.3440288764512395,
      0.3386221430245921,
      0.3333009653521004,
      0.32806368968303884,
      0.32290880510539927,
      0.31783499611816085,
      0.31284095024605246,
      0.30792514079401884,
      0.3030860079579014,
      0.2983221126428413,
      0.29363212000599587,
      0.289014771144983,
      0.2844688473092549,
      0.2799931629240525,
      0.27558656134511317,
      0.271247911960953,
      0.2669761081271138,
      0.2627700653544043,
      0.2586287203719352,
      0.2545510300334011,
      0.2505360517129608,
      0.2465832116741749,
      0.24269193241576667,
      0.23886149743654955,
      0.2350911044061968,
      0.23137990016303184,
      0.22772700350763092,
      0.224131520191968,
      0.22059255305043413,
      0.21710920822770885,
      0.21368059931041047,
      0.2103058500283448,
      0.20698409593161557,
      0.20371446042059807,
      0.2004959943741785,
      0.19732777938905344,
      0.19420894652398024,
      0.19113866417317713,
      0.18811612968387198,
      0.18514056388516978,
      0.18221120727510495,
      0.17932731759778897,
      0.1764881680007361,
      0.1736930458430965,
      0.17094125167357124,
      0.1682320985665353,
      0.16556491154665642,
      0.1629390272985703,
      0.16035379396336374,
      0.15780857052621694,
      0.15530272663906558,
      0.15283564266280625,
      0.1504067090188335,
      0.1480153263189316,
      0.14566090495639747,
      0.14334286508116728,
      0.14106063630920954,
      0.1388136575671502,
      0.13660137688086263,
      0.13442325139396585,
      0.1322787470059328,
      0.13016733832870417,
      0.12808850846590963,
      0.12604174881731275,
      0.12402655890876925,
      0.12204244643124157,
      0.12008892699344526,
      0.1181655239884172,
      0.11627176856047852,
      0.114407199266226,
      0.11257136208981282,
      0.11076381027198902,
      0.10898410409908169,
      0.10723181090546456,
      0.10550650496561788,
      0.10380776740904096,
      0.10213518579502262,
      0.10048835436420399,
      0.0988668737333467,
      0.09727035099338112,
      0.09569839940298244,
      0.09415063818590061,
      0.09262669263474392,
      0.0911261939555446,
      0.08964877925373904,
      0.08819409137476662,
      0.08676177870780055,
      0.085351495173908,
      0.0839629001889598,
      0.08259565848361106,
      0.08124944007252337,
      0.07992392009248052,
      0.07861877879901889,
      0.07733370144729278,
      0.0760683782545349,
      0.07482250426569662,
      0.07359577924291745,
      0.0723879077180355,
      0.0711985988111198,
      0.07002756615168731,
      0.06887452790519748,
      0.06773920657414653,
      0.06662132913954937,
      0.06552062651587046,
      0.06443683400321752,
      0.06336969103343909,
      0.06231894096639444,
      0.061284331314569465,
      0.06026561341957965,
      0.05926254251839231,
      0.05827487770955919,
      0.05730238176171164,
      0.056344821104674564,
      0.055401965840391955,
      0.05447358954803618,
      0.053559469410718985,
      0.052659386043987975,
      0.05177312344531101,
      0.05090046893722769,
      0.05004121317362241,
      0.04919515002556754,
      0.04836207656464595,
      0.04754179302018144,
      0.046734102618330865,
      0.04593881179175403,
      0.04515572982875211,
      0.04438466902979461,
      0.043625444582543714,
      0.04287787454651884,
      0.042141779775645496,
      0.04141698377182249,
      0.04070331294314888,
      0.04000059634193918,
      0.03930866555584752,
      0.038627354840928906,
      0.03795650101079288,
      0.037295943373299834,
      0.03664552374382698,
      0.036005086394934945,
      0.035374477910484786,
      0.03475354729033284,
      0.03414214592136654,
      0.0335401273506548,
      0.0329473475126003,
      0.032363664589678154,
      0.03178893877055509,
      0.031223032480465207,
      0.030665810320934402,
      0.030117138884742503,
      0.029576886813654342,
      0.029044924832198487,
      0.028521125656154285,
      0.028005363965906038,
      0.027497516336280472,
      0.026997461244109185,
      0.026505079121070984,
      0.026020252121423348,
      0.02554286417651326,
      0.025072801202311326,
      0.02460995072950857,
      0.02415420197885655,
      0.023705445942954005,
      0.02326357530313299,
      0.02282848432766991,
      0.022400068979511568,
      0.021978226750661738,
      0.021562856709537004,
      0.021153859648078588,
      0.0207511376933122,
      0.020354594440937013,
      0.019964135163016716,
      0.019579666494161607,
      0.01920109646024413,
      0.018828334500098496,
      0.01846129149205273,
      0.01809987976119278,
      0.017744012812192185,
      0.017393605607516613,
      0.017048574259326304,
      0.016708836229129047,
      0.016374310379423128,
      0.01604491670019799,
      0.01572057647251949,
      0.015401212131608904,
      0.015086747319156404,
      0.014777106895683852,
      0.014472216849476279,
      0.01417200433724609,
      0.013876397449327808,
      0.013585325506762932,
      0.013298718968479485,
      0.013016509311422895,
      0.012738629060706812,
      0.012465011747558288,
      0.01219559202430496,
      0.01193030540139273,
      0.011669088535305327,
      0.011411878980042237,
      0.01115861529853871,
      0.010909236923315713,
      0.010663684243438878,
      0.010421898548733405,
      0.010183822034880264,
      0.009949397843785278,
      0.009718569885060641,
      0.009491282972254836,
      0.009267482822704372,
      0.009047115856994388,
      0.008830129478760248,
      0.00861647184927343,
      0.008406091887476987,
      0.008198939273171738,
      0.007994964567692414,
      0.0077941189243571135,
      0.00759635431043538,
      0.007401623573000309,
      0.007209880152267824,
      0.007021078108558023,
      0.006835172419292971,
      0.006652118655978006,
      0.006471873070565947,
      0.006294392563739378,
      0.006119634725867489,
      0.005947557651295925,
      0.005778120270119855,
      0.005611282173817574,
      0.005447003443984566,
      0.005285244865847138,
      0.005125967690764738,
      0.004969133846839615,
      0.00481470583383117,
      0.004662646811596097,
      0.004512920423568509,
      0.004365490908386107,
      0.00422032303596263,
      0.004077382071102175,
      0.003936633732311637,
      0.0037980445918376197,
      0.003661581460824818,
      0.0035272117234053275,
      0.0033949032214964955,
      0.0032646243258130777,
      0.003136343996102844,
      0.003010031620994465,
      0.002885656853667043,
      0.0027631900075819685,
      0.002642601870143185,
      0.002523863556274523,
      0.0024069466811688363,
      0.00229182338269919,
      0.002178466103551151,
      0.0020668477695662013,
      0.0019569417150936447,
      0.0018487216228689604,
      0.0017421616753772226,
      0.0016372363958556196,
      0.0015339207076458868,
      0.0014321899183128803,
      0.0013320195908529161,
      0.0012333858867745592,
      0.001136265287988865,
      0.0010406344981342564,
      0.0009464706946452657,
      0.0008537513500882673,
      0.0007624543854476045,
      0.0006725580389172882,
      0.0005840407294966804,
      0.0004968811886550129,
      0.0004110587394936117,
      0.00032655283359887176,
      0.00024334334604402403,
      0.0001614103244412356,
      8.073415871598418e-05,
      1.2956186459616684e-06,
      -7.692430445765692e-05,
      -0.00015394435767006147,
      -0.00022978288391612155,
      -0.0003044580020217732,
      -0.0003779875825060971,
      -0.00045038918411677303,
      -0.0005216801609924024,
      -0.0005918776162801272,
      -0.0006609982719541454,
      -0.000729058547333316,
      -0.0007960747634654583,
      -0.0008620629782076191,
      -0.000927038864703428,
      -0.000991017919381663,
      -0.001054015478127031,
      -0.0011160465982857216,
      -0.0011771261307576477,
      -0.001237268759148007,
      -0.001296488802719069,
      -0.0013548004320921288,
      -0.0014122175718442554,
      -0.0014687539552224384,
      -0.0015244230509875302,
      -0.001579238097170012,
      -0.0016332122165115437,
      -0.0016863583472475695,
      -0.0017386892238869431,
      -0.0017902174082041933,
      -0.0018409551666539697,
      -0.0018909146268304207,
      -0.0019401076340871924,
      -0.0019885460527361955,
      -0.0020362414561038884,
      -0.002083205140287644,
      -0.002129448391313672,
      -0.002174982236518365,
      -0.002219817564377674,
      -0.002263965154544528,
      -0.002307435459275136,
      -0.0023502389307906235,
      -0.002392385775943033,
      -0.002433886110943901,
      -0.002474749848261073,
      -0.002514986780241136,
      -0.0025546063755798347,
      -0.0025936181794018348,
      -0.002632031551452742
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335186276458256,
      10.095168308686672,
      9.849610304959672,
      9.601137234156257,
      9.352052051279944,
      9.104356614263454,
      8.859721943579586,
      8.619473676608816,
      8.384592261009098,
      8.155728458519725,
      7.933232806792673,
      7.7171956882753205,
      7.5074937629597756,
      7.3038386623280624,
      7.105825768706095,
      6.912978287404703,
      6.7247839268737515,
      6.540726448532099,
      6.360309763780231,
      6.183076734188572,
      6.0086196235341,
      5.836580766627638,
      5.666673651843124,
      5.498692800120253,
      5.332509063767396,
      5.168071604901261,
      5.005408415336286,
      4.844611450200884,
      4.685841504827646,
      4.529335649943276,
      4.375415784228695,
      4.224442383793942,
      4.076799171377579,
      3.9328795176682574,
      3.7930753518294225,
      3.6577605205437025,
      3.527271249496254,
      3.4018975197679313,
      3.281876781618792,
      3.1673901019024693,
      3.0585606820663127,
      2.955444231473261,
      2.8580241316998216,
      2.7662066296676184,
      2.6798382650295327,
      2.5987195324889925,
      2.5226137240005673,
      2.451267430929177,
      2.38442604125063,
      2.3218199911876125,
      2.263146820668809,
      2.208070072111207,
      2.1562126694752104,
      2.1072129903053813,
      2.0607298716548446,
      2.0164523824699816,
      1.9741074609348144,
      1.9334682273389603,
      1.8943460681452056,
      1.8565917858462075,
      1.8200840090881747,
      1.7847187026145106,
      1.7504046221808989,
      1.717067225860292,
      1.6846450331793243,
      1.6530861276135893,
      1.6223456998002137,
      1.5923843153589485,
      1.5631666873878256,
      1.5346608011248946,
      1.506837157632455,
      1.479666297759571,
      1.453119943950465,
      1.4271730167196213,
      1.4018033179745406,
      1.3769905519776324,
      1.3527164800441067,
      1.3289636677016339,
      1.305715266169135,
      1.2829567057011122,
      1.2606748784699584,
      1.2388563851824972,
      1.2174890402140426,
      1.1965624839414017,
      1.1760659051034046,
      1.1559880732028103,
      1.1363178174566404,
      1.1170449858249916,
      1.0981597954090292,
      1.0796527867783858,
      1.0615145044133545,
      1.0437354242633274,
      1.0263061061988734,
      1.0092172869956275,
      0.9924599366243873,
      0.9760252892184164,
      0.959904859438541,
      0.9440904468844725,
      0.9285741350401151,
      0.9133482855193711,
      0.8984055307533001,
      0.8837387640698393,
      0.869341130123051,
      0.855206014444402,
      0.8413270334738885,
      0.8276980245350081,
      0.8143130361761024,
      0.801166318886509,
      0.7882523165426263,
      0.7755656574595208,
      0.763101146025717,
      0.7508537560472384,
      0.7388186227767876,
      0.7269910358875044,
      0.7153664331280464,
      0.7039403943675039,
      0.692708635174806,
      0.6816670012086897,
      0.6708114628591968,
      0.6601381105987328,
      0.6496431498422127,
      0.6393228961214136,
      0.6291737586633076,
      0.619192191772043,
      0.609374779116373,
      0.5997182417927835,
      0.590219392193836,
      0.58087512962501,
      0.5716824396760893,
      0.5626387199666618,
      0.5537416023791701,
      0.5449886045117954,
      0.536377194335511,
      0.5279048307529342,
      0.5195689883076435,
      0.5113671732456901,
      0.5032969326826687,
      0.49535586066997295,
      0.4875416004367654,
      0.479851846247677,
      0.4722843431952673,
      0.46483688721212385,
      0.4575073239452548,
      0.45029354755048684,
      0.44319349992776497,
      0.4362051689346018,
      0.42932695863756437,
      0.4225577700386795,
      0.4158963015690916,
      0.4093410564548802,
      0.40289042569735894,
      0.39654274207156054,
      0.3902963142188148,
      0.384149447958048,
      0.3781004596574171,
      0.3721477059601144,
      0.36628979251885807,
      0.360525408494609,
      0.35485315094454556,
      0.3492715697612884,
      0.343779189802328,
      0.3383742732537702,
      0.3330549775120347,
      0.32781962362549405,
      0.32266669609748255,
      0.3175948692580405,
      0.31260281962605846,
      0.30768901426731926,
      0.3028518878076024,
      0.2980899975390999,
      0.2934020076720705,
      0.2887866577479749,
      0.2842427273649215,
      0.2797690297524525,
      0.27536440741807666,
      0.27102772925719043,
      0.26675788808849965,
      0.2625537993095942,
      0.2584143993085748,
      0.2543386448002277,
      0.2503256019036291,
      0.24637470912283,
      0.24248538096125766,
      0.2386568958283367,
      0.23488844796504735,
      0.23117918177928967,
      0.22752821451396113,
      0.22393465102541743,
      0.2203975934008818,
      0.21691614718226346,
      0.21348942557057796,
      0.21011655211181193,
      0.20679666200318558,
      0.2035288760989315,
      0.20031224282769847,
      0.19714584562204523,
      0.1940288167058601,
      0.19096032520085235,
      0.18793956880938523,
      0.18496576868753684,
      0.18203816569605819,
      0.17915601768546,
      0.17631859797111576,
      0.17352519377222833,
      0.17077510563410347,
      0.16806764666129453,
      0.16540214202482256,
      0.16277792839798869,
      0.16019435379687408,
      0.15765077727207197,
      0.15514656854054396,
      0.15268110786155142,
      0.15025378569309186,
      0.14786400263678687,
      0.14551116909860726,
      0.14319470516770216,
      0.14091404051646733,
      0.1386686141493247,
      0.13645787419115668,
      0.13428127760051448,
      0.13213829037275243,
      0.13002838707689598,
      0.12795105076130087,
      0.12590577281512594,
      0.12389205295666463,
      0.12190939901209703,
      0.11995732656669032,
      0.11803535906625244,
      0.11614302749128584,
      0.11427987051340524,
      0.11244543408458536,
      0.11063927146939768,
      0.10886094312917885,
      0.10711001637511378,
      0.10538606546988388,
      0.10368867149151723,
      0.10201742220039038,
      0.10037191183954049,
      0.09875174112219966,
      0.097156517068903,
      0.09558585291705415,
      0.0940393680643226,
      0.09251668782928492,
      0.09101744349336047,
      0.0895412721785246,
      0.08808781686631617,
      0.0866567258900107,
      0.0852476532437662,
      0.08386025835463128,
      0.08249420599830087,
      0.08114916628706026,
      0.0798248144322305,
      0.07852083061013986,
      0.07723690022131265,
      0.07597271356720416,
      0.07472796572233797,
      0.07350235648418804,
      0.07229559044179011,
      0.07110737681020876,
      0.06993742922488914,
      0.06878546589207497,
      0.06765120937083889,
      0.06653438665450914,
      0.06543472886397692,
      0.06435197135712825,
      0.06328585344958221,
      0.06223611877058358,
      0.06120251480751838,
      0.06018479299278605,
      0.05918270862080982,
      0.0581960207730881,
      0.05722449225711124,
      0.056267889581385705,
      0.055325982941392515,
      0.054398546082238756,
      0.05348535615561559,
      0.05258619384722662,
      0.051700843218020334,
      0.05082909171146727,
      0.04997073004269204,
      0.04912555214143558,
      0.048293355097517116,
      0.047473939166016915,
      0.046667107746226115,
      0.04587266727378207,
      0.045090427092817464,
      0.0443201995136322,
      0.04356179980564041,
      0.042815046013829815,
      0.04207975911013244,
      0.041355762907941226,
      0.04064288364383174,
      0.03994095041801104,
      0.039249794932857233,
      0.03856925160121292,
      0.03789915718462692,
      0.037239351006511656,
      0.03658967502592287,
      0.03594997355878765,
      0.03532009329128783,
      0.034699883349904315,
      0.0340891950565632,
      0.03348788214069177,
      0.032895800476914934,
      0.03231280826699429,
      0.03173876584260149,
      0.0311735357306121,
      0.030616982517171897,
      0.030068972910485752,
      0.029529375754499577,
      0.028998061726396435,
      0.028474903620096657,
      0.027959776109935545,
      0.027452555801689874,
      0.026953121233472006,
      0.026461352903440604,
      0.025977132974328264,
      0.025500345576079664,
      0.025030876536828537,
      0.024568613534526364,
      0.02411344597542884,
      0.02366526478422592,
      0.023223962676723622,
      0.02278943400094375,
      0.02236157476885574,
      0.021940282548252546,
      0.021525456529463853,
      0.021116997427916673,
      0.020714807534372624,
      0.02031879052790989,
      0.019928851607691787,
      0.019544897516081745,
      0.019166836383097494,
      0.01879457768487349,
      0.01842803229599421,
      0.01806711256662051,
      0.017711732074340528,
      0.017361805794591283,
      0.01701725000286691,
      0.01667798226467133,
      0.016343921436793942,
      0.01601498758462433,
      0.01569110207612214,
      0.015372187260808164,
      0.015058166820659245,
      0.014748965642490846,
      0.014444509867161694,
      0.014144726612679398,
      0.013849544140204957,
      0.013558891814261335,
      0.013272700003990659,
      0.012990900274593646,
      0.01271342536062364,
      0.012440208832082304,
      0.012171185304908655,
      0.011906290426094972,
      0.011645460754807496,
      0.011388633990942405,
      0.011135748634964904,
      0.010886744130234152,
      0.010641560979159895,
      0.010400140567040134,
      0.010162425085799202,
      0.009928357669546414,
      0.00969788240070056,
      0.00947094407775851,
      0.009247488475916282,
      0.009027462000640389,
      0.008810812075388511,
      0.008597486948047071,
      0.008387435595947082,
      0.0081806077866449,
      0.007976954039732441,
      0.007776425674370099,
      0.007578974720130342,
      0.0073845538623494075,
      0.007193116612644714,
      0.007004617126395435,
      0.0068190103601432385,
      0.006636251990176005,
      0.006456298321269134,
      0.006279106229672939,
      0.006104633375634523,
      0.00593283799260923,
      0.005763678971559781,
      0.005597115877568253,
      0.005433108791198904,
      0.005271618609948931,
      0.005112606691042073,
      0.004956034960630523,
      0.0048018660760277415,
      0.00465006312026105,
      0.004500589749759287,
      0.004353410153215133,
      0.004208489140288456,
      0.004065792105141382,
      0.003925284935224387,
      0.0037869338963784907,
      0.003650705933033698,
      0.0035165685510741857,
      0.003384489658650864,
      0.003254437707327018,
      0.0031263815744539646,
      0.0030002905493144542,
      0.0028761344537823062,
      0.0027538836517804733,
      0.0026335089265844516,
      0.0025149814740088815,
      0.0023982728783399397,
      0.002283355255484137,
      0.0021702011367479147,
      0.002058783469459731,
      0.001949075637969124,
      0.001841051384445978,
      0.001734684890430968,
      0.0016299506753979702,
      0.0015268236876518823,
      0.0014252792312685887,
      0.001325293060115137,
      0.0012268413144895314,
      0.0011299004273110551,
      0.00103444717162836,
      0.000940458652158618,
      0.0008479124826653149,
      0.0007567865324544403,
      0.0006670590049299148,
      0.0005787083903408351,
      0.0004917136103081434,
      0.00040605382679220764,
      0.000321708551229365,
      0.0002386576722299544,
      0.00015688142756949917,
      7.636013569075518e-05,
      -2.9254935473370088e-06,
      -8.099443455769097e-05,
      -0.00015786536959250448,
      -0.0002335566477086028,
      -0.00030808645222699555,
      -0.0003814725220698522,
      -0.000453732456872508,
      -0.0005248834680807145,
      -0.0005949425990765133,
      -0.0006639265313189782,
      -0.000731851872583951,
      -0.0007987348594327395,
      -0.0008645914145910278,
      -0.0009294372922447655,
      -0.0009932880000403353,
      -0.001056158834320898,
      -0.0011180649402600547,
      -0.0011790209768029463,
      -0.0012390416197621014,
      -0.0012981412758120692,
      -0.0013563340180391835,
      -0.001413633768707091,
      -0.0014700541690708755,
      -0.001525608786028785,
      -0.0015803109806205224,
      -0.001634173706039558,
      -0.0016872098512482937,
      -0.0017394320942265371,
      -0.001790852856485564,
      -0.0018414845108322626,
      -0.001891339118105099,
      -0.0019404286336641029,
      -0.0019887648271169323,
      -0.0020363593348656597,
      -0.0020832235340969463,
      -0.0021293685554813362,
      -0.0021748054415468452,
      -0.0022195450690133825,
      -0.002263598121669782,
      -0.0023069751704808935,
      -0.0023496865431855613,
      -0.002391742447691927,
      -0.002433152967125766,
      -0.0024739279538012306,
      -0.0025140771760439966,
      -0.002553610292601929,
      -0.0025925367379771714,
      -0.0026308657659089812
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335182835688608,
      10.095155819636593,
      9.849582955554464,
      9.601090861263444,
      9.351983775684422,
      9.104264575383729,
      8.859605058458733,
      8.619331434695928,
      8.384424541269837,
      8.155535383926367,
      7.93301462890678,
      7.716952700461861,
      7.507226246536619,
      7.303546848054821,
      7.105509875490261,
      6.912638603597655,
      6.724420716272921,
      6.540339986579279,
      6.359900427994665,
      6.182645008987966,
      6.008166218124023,
      5.836106616243414,
      5.666179873095876,
      5.498180747554673,
      5.331980323415892,
      5.167527997473383,
      5.004851867465983,
      4.844044166157842,
      4.685265994928297,
      4.528754903895469,
      4.374833366029183,
      4.223861830110765,
      4.076223972126557,
      3.9323131125317126,
      3.7925211440978064,
      3.6572216433764018,
      3.526750497576764,
      3.401397309815934,
      3.28139912518133,
      3.1669365913201304,
      3.058132490193104,
      2.9550419866567106,
      2.8576478858931655,
      2.7658559078612774,
      2.679511925032242,
      2.598415836837963,
      2.5223308285894204,
      2.451003409045848,
      2.38417884922029,
      2.321587415902359,
      2.2629266182985766,
      2.207859589589527,
      2.1560093515217007,
      2.1070145588932574,
      2.0605342607366186,
      2.016257720432882,
      1.9739122629457484,
      1.9332713839936935,
      1.8941467766091789,
      1.85638947562912,
      1.8198782781454177,
      1.7845092395742228,
      1.7501912142649558,
      1.7168497521656383,
      1.684423437448907,
      1.65286039894395,
      1.622115859039191,
      1.5921504055414086,
      1.5629287664451208,
      1.534418937385726,
      1.5065914421575486,
      1.4794168476280438,
      1.4528668645573455,
      1.4269164114286224,
      1.4015432853582859,
      1.376727199482072,
      1.3524499113048871,
      1.3286939774315298,
      1.3054426179340075,
      1.282681365221546,
      1.2603970445483461,
      1.2385762124194608,
      1.2172068560424538,
      1.1962786090403292,
      1.1757805686220688,
      1.1557014426166339,
      1.1360300297969579,
      1.1167561655170033,
      1.0978700449875753,
      1.07936219834663,
      1.06122315287649,
      1.043443373310066,
      1.0260134116183026,
      1.0089239993177783,
      0.9921661024259646,
      0.9757309530283111,
      0.9596100634978955,
      0.9437952324749526,
      0.9282785421765228,
      0.9130523535001026,
      0.8981092977867856,
      0.8834422677073039,
      0.8690444072253868,
      0.8549091015488439,
      0.8410299665428942,
      0.8274008391554942,
      0.8140157672427217,
      0.8008690008874646,
      0.7879549832781834,
      0.7752683421850802,
      0.7628038820198612,
      0.7505565758247891,
      0.7385215582349953,
      0.726694118495278,
      0.7150696938278666,
      0.7036438634443594,
      0.692412342371427,
      0.6813709759095008,
      0.6705157339114283,
      0.6598427061002073,
      0.6493480971498597,
      0.6390282223105321,
      0.6288794895804188,
      0.6188983566221329,
      0.6090814151381162,
      0.5994253822072043,
      0.5899270666821367,
      0.5805833652976504,
      0.5713913094578864,
      0.5623483605007429,
      0.5534521071116071,
      0.544700039272185,
      0.5360896070611001,
      0.5276182571810414,
      0.5192834561988334,
      0.5110827050744522,
      0.5030135476698978,
      0.4950735751199888,
      0.48726042892534754,
      0.47957180203527766,
      0.472005438758889,
      0.46455913423501805,
      0.4572307334271362,
      0.4500181299869458,
      0.4429192653565589,
      0.43593212717944924,
      0.42905520948473136,
      0.4222874167943852,
      0.4156274111938595,
      0.40907367200753536,
      0.40262457535914464,
      0.3962784441450114,
      0.3900335804602343,
      0.3838882856615472,
      0.3778408733378308,
      0.37188971196667236,
      0.3660334244452139,
      0.36027068645046195,
      0.35460008673763976,
      0.34902016986626716,
      0.34352946248991745,
      0.33812630566012136,
      0.3328088549290719,
      0.3275753988227327,
      0.32242441291101354,
      0.317354558398886,
      0.31236449885607126,
      0.30745269371359246,
      0.3026175711233573,
      0.297857685010261,
      0.2931716982288126,
      0.2885583474942901,
      0.284016410564485,
      0.27954469948702204,
      0.2751420562136916,
      0.27080734915939797,
      0.2665394705556158,
      0.2623373354073637,
      0.2581998800793604,
      0.2541260611084473,
      0.25011495328213706,
      0.24616600740811126,
      0.2422786301463007,
      0.23845209453664723,
      0.23468559132758024,
      0.23097826277482683,
      0.22732922447350196,
      0.22373758019271253,
      0.22020243118168495,
      0.2167228826437742,
      0.21329804753133663,
      0.20992704900037495,
      0.20660902221025046,
      0.2033430837486721,
      0.20012828173757688,
      0.19696370095595525,
      0.1938484747499447,
      0.19078177288799786,
      0.1877627936906626,
      0.18479075856151186,
      0.18186490842914166,
      0.17898450126057838,
      0.17614881047240566,
      0.17335712345229662,
      0.1706087406119568,
      0.1679029751665001,
      0.16523915218305876,
      0.16261660830196256,
      0.1600346916336732,
      0.15749276119601255,
      0.154990186697739,
      0.15252634840790236,
      0.1501006368496108,
      0.14771245263660426,
      0.14536120604437294,
      0.14304631723832537,
      0.14076721584879837,
      0.1385233409102362,
      0.13631414053496008,
      0.13413907186108018,
      0.13199760083622586,
      0.12988920197008008,
      0.1278133583921739,
      0.1257695615924234,
      0.12375731114243044,
      0.12177611490586804,
      0.11982548854948373,
      0.11790495544750537,
      0.1160140466732695,
      0.1141523009330382,
      0.11231926435883018,
      0.11051449017189223,
      0.10873753873213578,
      0.10698797744487504,
      0.10526538062738466,
      0.1035693293915372,
      0.10189941157474461,
      0.10025522135564495,
      0.09863635950205503,
      0.09704243308088861,
      0.09547305546327554,
      0.09392784593733365,
      0.09240642988822206,
      0.0909084387382618,
      0.08943350966624157,
      0.08798128556897708,
      0.08655141504932358,
      0.08514355206783535,
      0.0837573560328328,
      0.08239249178860945,
      0.08104862945128648,
      0.07972544425676609,
      0.07842261666241981,
      0.07713983201523829,
      0.07587678054342885,
      0.07463315738395775,
      0.07340866253884264,
      0.0722030005947873,
      0.07101588078336862,
      0.06984701695650081,
      0.06869612733053175,
      0.06756293457063615,
      0.0664471654843251,
      0.06534855132151178,
      0.06426682747401344,
      0.0632017334509101,
      0.06215301288199368,
      0.06112041333917514,
      0.06010368628019976,
      0.059102587058187786,
      0.05811687478621049,
      0.0571463124895956,
      0.0561906666999246,
      0.055249707609728436,
      0.054323209017771906,
      0.053410948122353544,
      0.052512705671306406,
      0.05162826573682265,
      0.050757415903762176,
      0.0498999468985566,
      0.049055652700985095,
      0.04822433055311727,
      0.0474057808092353,
      0.04659980688655304,
      0.045806215297577654,
      0.0450248154139775,
      0.044255419725056824,
      0.043497843459161245,
      0.042751904803828934,
      0.0420174247491742,
      0.04129422702160592,
      0.04058213803411938,
      0.03988098698061198,
      0.039190605629068564,
      0.038510828353635666,
      0.037841492170029134,
      0.03718243638721694,
      0.03653350293841466,
      0.03589453628992196,
      0.035265383203741056,
      0.03464589276669922,
      0.034035916466599946,
      0.033435307997697686,
      0.0328439234182546,
      0.03226162098326948,
      0.031688261023628185,
      0.03112370603719127,
      0.030567820794135864,
      0.030020472063275423,
      0.02948152870890881,
      0.02895086145189664,
      0.028428343165970996,
      0.02791384862913534,
      0.027407254473110904,
      0.026908439362703748,
      0.02641728380758751,
      0.02593367015952473,
      0.02545748240656478,
      0.02498860650192124,
      0.024526930210343616,
      0.024072342885331888,
      0.023624735519731127,
      0.023184000872621964,
      0.022750033494737434,
      0.022322729475014017,
      0.021901986402649086,
      0.02148770351951332,
      0.021079781529463888,
      0.020678122724718744,
      0.020282630908485998,
      0.01989321133653086,
      0.019509770759424703,
      0.01913221738805756,
      0.01876046079494869,
      0.01839441198626765,
      0.018033983339435466,
      0.01767908843787699,
      0.017329642304978507,
      0.0169855612744989,
      0.01664676294270766,
      0.01631316620176558,
      0.01598469114443333,
      0.015661259094322765,
      0.015342792717418553,
      0.015029215737893644,
      0.014720453027212902,
      0.01441643076120883,
      0.014117076092611959,
      0.013822317234261606,
      0.01353208372470237,
      0.013246305973866014,
      0.01296491558173878,
      0.01268784519095855,
      0.01241502848992318,
      0.012146400175252953,
      0.011881895931038998,
      0.011621452463029003,
      0.011365007364733056,
      0.01111249926068181,
      0.01086386782024305,
      0.010619053457283518,
      0.01037799749076833,
      0.010140642258171387,
      0.009906930882767253,
      0.009676807470486794,
      0.009450216992411583,
      0.00922710514507715,
      0.009007418525590583,
      0.00879110456839731,
      0.008578111472499757,
      0.008368388284657571,
      0.008161884801078665,
      0.007958551535809398,
      0.007758339825773511,
      0.007561201779509445,
      0.007367090127422548,
      0.007175958411702247,
      0.0069877608994892565,
      0.006802452555921503,
      0.00661998903291619,
      0.00644032669216447,
      0.006263422542241963,
      0.006089234171474666,
      0.005917719893305657,
      0.005748838633494739,
      0.005582550036161305,
      0.005418814260867076,
      0.00525759204873352,
      0.005098844931156652,
      0.00494253488784343,
      0.004788624394930208,
      0.00463707662750217,
      0.004487855403995987,
      0.00434092497428008,
      0.004196250152992405,
      0.004053796359422037,
      0.003913529513476336,
      0.0037754160102716145,
      0.003639422798044336,
      0.003505517350207133,
      0.0033736675375587756,
      0.0032438419095277057,
      0.003116009360470042,
      0.002990139205097289,
      0.002866201350479136,
      0.0027441660760540378,
      0.002624004177962638,
      0.0025056869241347098,
      0.002389186062597341,
      0.0022744736595976516,
      0.0021615221616601028,
      0.002050304643722754,
      0.001940794493385252,
      0.0018329655419369315,
      0.0017267919743853741,
      0.001622248316983826,
      0.0015193094964579164,
      0.0014179509258627147,
      0.0013181484209116461,
      0.0012198780986184738,
      0.0011231163726990092,
      0.001027840070831704,
      0.0009340263881747887,
      0.0008416529887156732,
      0.0007506976375899579,
      0.0006611385783245185,
      0.0005729543391481346,
      0.00048612390967270666,
      0.00040062643559530734,
      0.0003164414802838137,
      0.00023354894477456602,
      0.00015192898239012342,
      7.156204169500096e-05,
      -7.571184911275039e-06,
      -8.54895823380042e-05,
      -0.00016221180168910204,
      -0.00023775616786494654,
      -0.000312140808984148,
      -0.00038538347929555604,
      -0.0004575017816154279,
      -0.000528513051989109,
      -0.0005984341286442819,
      -0.0006672818063221332,
      -0.0007350726538832876,
      -0.000801822761578036,
      -0.000867548103041101,
      -0.000932264413438202,
      -0.0009959872641875807,
      -0.0010587318567285423,
      -0.0011205132158968807,
      -0.0011813461280547062,
      -0.0012412452499768651,
      -0.0013002248864990333,
      -0.0013582990530031853,
      -0.0014154816959225552,
      -0.0014717864867415287,
      -0.0015272269200776309,
      -0.001581816296665692,
      -0.0016355675721437715,
      -0.0016884936813173078,
      -0.0017406072964136347,
      -0.0017919208004617934,
      -0.0018424465521781235,
      -0.0018921966928949568,
      -0.0019411830413566854,
      -0.0019894173946663945,
      -0.0020369113201842417,
      -0.0020836761373796407,
      -0.0021297229747588927,
      -0.002175062934669197,
      -0.0022197068695026367,
      -0.002263665558140427,
      -0.002306949506270694,
      -0.0023495690006439664,
      -0.002391534212861653,
      -0.002432855112167059,
      -0.0024735415618129058,
      -0.002513603402340756,
      -0.002553050210201738,
      -0.0025918914436695644,
      -0.002630136371705324
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335179382511443,
      10.095143288970702,
      9.849555518804225,
      9.601044341750017,
      9.351915280743395,
      9.104172233893935,
      8.859487779111879,
      8.61918870037407,
      8.384256230270339,
      8.155341620179604,
      7.932795663197423,
      7.716708825715703,
      7.50695774536576,
      7.30325395111055,
      7.105192802300111,
      6.91229764375916,
      6.72405613469426,
      6.539952059246261,
      6.3594895340310424,
      6.182211633497013,
      6.007711072405891,
      5.83563063708578,
      5.665684178010934,
      5.497666693463258,
      5.3314494987144,
      5.1669822245270405,
      5.004293076233597,
      4.843474579083175,
      4.684688126674444,
      4.528171771663259,
      4.374248537944269,
      4.2232788472235345,
      4.07564632835865,
      3.9317442709813535,
      3.7919645276736946,
      3.656680387573609,
      3.5262273997464986,
      3.400894788476163,
      3.28091919325751,
      3.1664808428876814,
      3.057702098962979,
      2.9546375815762724,
      2.8572695194420334,
      2.765503105331912,
      2.679183543561366,
      2.598110138518978,
      2.522045929548374,
      2.4507373887796167,
      2.383929669438809,
      2.3213528688710166,
      2.262704465003685,
      2.2076471804907727,
      2.155804134890348,
      2.1068142593532184,
      2.06033681323897,
      2.016061250939216,
      1.9737152844837627,
      1.9330727867868216,
      1.8939457577049192,
      1.8561854642284514,
      1.81967087225159,
      1.7842981271890381,
      1.7499761813222645,
      1.7166306765368589,
      1.684200261827636,
      1.652633112276521,
      1.62188448257647,
      1.5919149820128986,
      1.5626893534903052,
      1.534175602606738,
      1.5063442756664727,
      1.4791659661558445,
      1.4526123731495595,
      1.426658412546775,
      1.401281876636038,
      1.3764624877529537,
      1.3521820004848948,
      1.328422961429812,
      1.3051686599103354,
      1.2824047304868926,
      1.26011793195638,
      1.23829477658002,
      1.2169234248703664,
      1.195993503413337,
      1.1754940171025217,
      1.155413612583943,
      1.135741058682718,
      1.1164661776819873,
      1.0975791422897394,
      1.0790704717050552,
      1.0609306767796451,
      1.0431502109862367,
      1.0257196186099966,
      1.0086296256675338,
      0.9918711950022211,
      0.9754355561119579,
      0.9593142195628719,
      0.9434989821463857,
      0.9279819251465748,
      0.9127554085706628,
      0.8978120631086786,
      0.8831447809099258,
      0.8687467055392463,
      0.8546112214121812,
      0.8407319436577546,
      0.8271027087395534,
      0.8137175642733188,
      0.8005707596266454,
      0.7876567372978521,
      0.7749701246386023,
      0.7625057254733368,
      0.7502585124622527,
      0.7382236195985296,
      0.7263963356234946,
      0.7147720975650792,
      0.7033464839542406,
      0.692115209228088,
      0.681074117976746,
      0.6702191797992957,
      0.6595464839532493,
      0.6490522347589415,
      0.6387327468360526,
      0.6285844268867559,
      0.6186037365780124,
      0.608787275226507,
      0.5991317547127062,
      0.5896339806931522,
      0.5802908475212128,
      0.5710994330114093,
      0.562057262410601,
      0.5531618809928492,
      0.5444107510628686,
      0.5358013042892905,
      0.5273309754201237,
      0.5189972231380026,
      0.5107975430062336,
      0.5027294752425815,
      0.49479060866579516,
      0.48697858316490106,
      0.47929109028883315,
      0.47172587340226313,
      0.46428072681687654,
      0.45695349495685755,
      0.4497420710892076,
      0.442644396114653,
      0.43565845722725327,
      0.42878283838627307,
      0.422016447524789,
      0.4153579105270011,
      0.40880568334140954,
      0.40235812667295817,
      0.3960135535322717,
      0.3897702594347117,
      0.3836265415207659,
      0.37758071064268767,
      0.3716311469518165,
      0.3657764902764708,
      0.36001540328363457,
      0.35434646644250123,
      0.34876821866538615,
      0.34327918323037615,
      0.3378777829224818,
      0.3325621769064801,
      0.3273306203309066,
      0.3221815789726261,
      0.3171137003487515,
      0.31212563492665163,
      0.307215834249356,
      0.3023827200480755,
      0.2976248427311892,
      0.2929408633557987,
      0.2883295161318834,
      0.2837895770813595,
      0.2793198571621105,
      0.2749191973417828,
      0.27058646548158943,
      0.26632055360984547,
      0.26212037631577284,
      0.2579848696890809,
      0.25391299000175005,
      0.24990382115608814,
      0.2459568259596276,
      0.24207140321767856,
      0.23824682083010815,
      0.23448226614290102,
      0.23077687885447654,
      0.2271297730785439,
      0.22354005153537082,
      0.22000681486578372,
      0.2165291676560648,
      0.21310622243284935,
      0.20973710221668823,
      0.2064209419384986,
      0.20315685390617838,
      0.1999438859078397,
      0.19678112448650245,
      0.19366770393080943,
      0.1906027945145336,
      0.1875855950980847,
      0.18461532744412446,
      0.1816912326603558,
      0.1788125688652747,
      0.1759786093574112,
      0.1731886415365572,
      0.17044196596212027,
      0.1677378959036535,
      0.16507575642052685,
      0.16245488431180394,
      0.15987462753567017,
      0.15733434510367647,
      0.15483340671129495,
      0.1523711926633656,
      0.14994709344700038,
      0.14756050966920556,
      0.14521085171044248,
      0.14289753971703567,
      0.14062000335371588,
      0.13837768153914576,
      0.1361700224623204,
      0.1339964832503354,
      0.131856529821887,
      0.12974963678532675,
      0.12767528728676844,
      0.12563297279486488,
      0.12362219298705013,
      0.12164245569291192,
      0.11969327662739636,
      0.11777417918675408,
      0.11588469447852402,
      0.11402436119135102,
      0.1121927254064513,
      0.11038934043270344,
      0.10861376669055568,
      0.10686557165073761,
      0.10514432963712957,
      0.10344962182391987,
      0.10178103603895176,
      0.10013816662133772,
      0.09852061441504331,
      0.09692798636479874,
      0.09535989588281273,
      0.09381596236621048,
      0.09229581136484898,
      0.09079907417818289,
      0.089325388114603,
      0.0878743960592478,
      0.08644574655066846,
      0.08503909367066491,
      0.08365409701712369,
      0.08229042146363894,
      0.08094773709104697,
      0.07962571921963874,
      0.07832404832292103,
      0.07704240981080099,
      0.07578049410377012,
      0.07453799636527744,
      0.07331461647416174,
      0.07211005917598148,
      0.07092403369535712,
      0.06975625393094843,
      0.0686064381994656,
      0.06747430917104254,
      0.0663595939220353,
      0.06526202367939593,
      0.0641813338158768,
      0.06311726398135882,
      0.0620695577692629,
      0.06103796287493946,
      0.06002223077289167,
      0.059022116955190204,
      0.05803738060891266,
      0.05706778464131927,
      0.056113095772984074,
      0.05517308428263533,
      0.05424752401313451,
      0.053336192273312176,
      0.05243886983555884,
      0.05155534093337141,
      0.050685393116166814,
      0.049828817085079316,
      0.04898540693444701,
      0.04815496002486307,
      0.04733727669352392,
      0.04653216049110091,
      0.045739417940808505,
      0.044958858515713095,
      0.04419029476710375,
      0.04343354205092167,
      0.04268841845596909,
      0.041954745123863046,
      0.04123234587480259,
      0.040521047212266514,
      0.03982067836053403,
      0.039131071169137506,
      0.03845206005931098,
      0.037783482028146985,
      0.037125176592369864,
      0.03647698570362178,
      0.03583875394051335,
      0.035210328039337956,
      0.03459155712991349,
      0.033982292802362285,
      0.03338238882386489,
      0.032791701296541464,
      0.032210088522118506,
      0.03163741093216387,
      0.03107353109667589,
      0.0305183137346049,
      0.02997162574513569,
      0.029433336037741436,
      0.028903315465397334,
      0.02838143689866171,
      0.02786757520605336,
      0.027361607191145956,
      0.0268634114290088,
      0.026372868427684944,
      0.025889860587052435,
      0.025414272139613128,
      0.024945989041345727,
      0.024484899110777388,
      0.024030891717212788,
      0.02358385802865248,
      0.023143690840331032,
      0.022710284619587486,
      0.022283535499852295,
      0.021863341204837773,
      0.021449601071247968,
      0.021042215910618133,
      0.020641088021829603,
      0.020246121236122842,
      0.01985722095426273,
      0.019474293941168983,
      0.019097248418825267,
      0.018725994018484265,
      0.018360441840100612,
      0.01800050414213387,
      0.017646094704188042,
      0.017297128590443706,
      0.016953522179894275,
      0.01661519313108333,
      0.016282060390106788,
      0.015954044191097888,
      0.01563106588343927,
      0.015313048145321024,
      0.014999914616721467,
      0.014691590204650355,
      0.014388001138441454,
      0.014089074737798267,
      0.013794739337768865,
      0.01350492444681445,
      0.013219560565681177,
      0.012938579328363715,
      0.012661913482053552,
      0.012389496648911187,
      0.01212126354929603,
      0.011857150006359108,
      0.01159709286616831,
      0.011341029801026834,
      0.011088899274698048,
      0.010840640884835788,
      0.010596195153779416,
      0.010355503543511937,
      0.01011850839671918,
      0.009885152971587695,
      0.009655381339961439,
      0.009429138549683221,
      0.009206370383462822,
      0.008987023451697024,
      0.008771045116382978,
      0.00855838358998782,
      0.008348988082181562,
      0.00814280845408275,
      0.007939795206105446,
      0.007739899767294067,
      0.007543074304512108,
      0.007349271611196672,
      0.007158445176542927,
      0.006970549403800822,
      0.006785539291205483,
      0.006603370478254955,
      0.006423999294122338,
      0.006247382815224858,
      0.00607347875422954,
      0.005902245446479371,
      0.0057336418521584725,
      0.0055676275730982576,
      0.005404162738830348,
      0.005243208320938408,
      0.005084725725260705,
      0.00492867702223303,
      0.0047750248487938175,
      0.004623732350801321,
      0.004474763273909157,
      0.004328081910175183,
      0.004183653155012902,
      0.0040414423822362645,
      0.0039014155371738337,
      0.0037635391366029965,
      0.003627780213486932,
      0.0034941062450351843,
      0.0033624851266536027,
      0.003232885351319845,
      0.0031052759304804225,
      0.0029796261962048926,
      0.002855906068901098,
      0.0027340860213247585,
      0.0026141368230040533,
      0.0024960297309484162,
      0.002379736421380577,
      0.0022652290692684097,
      0.0021524801755089685,
      0.002041462745346171,
      0.001932150201366248,
      0.0018245164318179082,
      0.001718535688173803,
      0.0016141825731454474,
      0.001511431972710235,
      0.0014102592756038107,
      0.0013106402893868967,
      0.0012125511710253585,
      0.0011159684412164232,
      0.001020868949649841,
      0.0009272299813656304,
      0.0008350290402631844,
      0.000744244040563764,
      0.0006548532585517779,
      0.0005668352343003266,
      0.0004801689292234666,
      0.00039483361808478017,
      0.0003108088776904073,
      0.00022807450657961385,
      0.0001466106746504853,
      6.639794085329278e-05,
      -1.2582975783670617e-05,
      -9.035092204220944e-05,
      -0.0001669245244696156,
      -0.00024232219883809904,
      -0.0003165619871469817,
      -0.0003896616155758181,
      -0.0004616386851304139,
      -0.0005325104163752053,
      -0.0006022937485382167,
      -0.0006710053871442094,
      -0.0007386617677605838,
      -0.0008052790697086152,
      -0.0008708733368519348,
      -0.0009354602731840676,
      -0.0009990553365801637,
      -0.0010616738056769318,
      -0.0011233306554100293,
      -0.001184040641300962,
      -0.00124381827459362,
      -0.0013026778794707045,
      -0.0013606335407394313,
      -0.0014176991784913807,
      -0.001473888500973852,
      -0.0015292149056236623,
      -0.0015836916654198643,
      -0.00163733171362872,
      -0.0016901480509750827,
      -0.0017421532876317725,
      -0.0017933598137271902,
      -0.0018437798924683816,
      -0.0018934256128210042,
      -0.0019423089561042771,
      -0.001990441601280433,
      -0.0020378350790227527,
      -0.002084500683210908,
      -0.0021304497063098556,
      -0.002175693133745252,
      -0.0022202417316564793,
      -0.002264106114577978,
      -0.0023072969141925497,
      -0.002349824382180522,
      -0.0023916987423938585,
      -0.002432930002114656,
      -0.0024735281309415367,
      -0.00251350282610429,
      -0.002552863620983855,
      -0.0025916199097828006,
      -0.0026297809841551315
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335175922316479,
      10.095130732593738,
      9.849528028197144,
      9.60099773381732,
      9.35184665762412,
      9.104079717973212,
      8.85937027602696,
      8.619045689312118,
      8.384087586525608,
      8.155147464830137,
      7.932576244993384,
      7.7164644385948495,
      7.506688670588561,
      7.3029604178103025,
      7.10487503118253,
      6.911955925219874,
      6.723690734048145,
      6.539563255082118,
      6.359077706073004,
      6.181777266715325,
      6.007254877265597,
      5.835153550817293,
      5.6651873194922,
      5.49715142028043,
      5.3309174000356006,
      5.166435124238784,
      5.003732905204333,
      4.842903562024593,
      4.684108781632156,
      4.527587216891223,
      4.373662334947458,
      4.222694531351338,
      4.075067390139361,
      3.9311741691344544,
      3.791406681141745,
      3.656137928284961,
      3.52570312117797,
      3.4003911063115333,
      3.2804381186669116,
      3.166023967694699,
      3.057270595722138,
      2.9542320774171036,
      2.8568900639430868,
      2.765149222184444,
      2.6788540889353087,
      2.597803373356608,
      2.5217599594388758,
      2.450470295003737,
      2.3836794165453483,
      2.3211172519139565,
      2.2624812492371467,
      2.207433719723879,
      2.1555978793417063,
      2.1066129356837022,
      2.060138357534523,
      2.0158637886358637,
      1.9735173282939642,
      1.9328732261111872,
      1.8937437886751314,
      1.855980515273423,
      1.819462540905524,
      1.784086100861933,
      1.749760245570132,
      1.7164107088190843,
      1.6839762050072118,
      1.6524049547335316,
      1.62165224441808,
      1.5916787053715917,
      1.5624490958584079,
      1.5339314313341732,
      1.506096281021164,
      1.4789142649793154,
      1.4523570705569522,
      1.4263996116430064,
      1.4010196749033121,
      1.3761969914893164,
      1.3519133128431848,
      1.3281511766033827,
      1.304893941275315,
      1.2821273437612384,
      1.2598380760868535,
      1.2380126056544165,
      1.2166392662289849,
      1.1957076779710167,
      1.1752067536160906,
      1.1551250782798972,
      1.1354513902404892,
      1.1161754993336572,
      1.0972875566453089,
      1.0787780702518,
      1.0606375339866376,
      1.042856389833741,
      1.0254251745217566,
      1.0083346087496923,
      0.991575651455774,
      0.9751395293796237,
      0.9590177517710617,
      0.9432021140644578,
      0.9276846963412466,
      0.9124578578067334,
      0.8975142282839119,
      0.8828466993385038,
      0.8684484137693806,
      0.8543127556465415,
      0.8404333397596012,
      0.826804001875296,
      0.8134187891069774,
      0.800271950505903,
      0.787357928281097,
      0.7746713488525934,
      0.762207015480211,
      0.7499599004655051,
      0.7379251373872387,
      0.7260980145092856,
      0.714473967929517,
      0.7030485758307556,
      0.6918175521894653,
      0.6807767411425993,
      0.6699221117092147,
      0.6592497524823069,
      0.6487558672804125,
      0.63843677042746,
      0.6282888672317738,
      0.6183086282554644,
      0.6084926540098503,
      0.5988376520072467,
      0.5893404248731505,
      0.5799978649215501,
      0.5708071257842169,
      0.5617657566339617,
      0.5528712632809278,
      0.5441210825393851,
      0.5355126297633487,
      0.5270433286876185,
      0.5187106305632612,
      0.5105120260820183,
      0.5024450520599362,
      0.49450729508781766,
      0.48669639342861376,
      0.4790100375962994,
      0.47144596996916066,
      0.46400198432026096,
      0.4566759243909889,
      0.44946568289490696,
      0.44236920017492337,
      0.4353845045134202,
      0.42851024674444604,
      0.42174529752643797,
      0.41508825444390146,
      0.4085375550713536,
      0.4020915482128083,
      0.39574853911590757,
      0.3895068181390456,
      0.38336467900933185,
      0.3773204303851492,
      0.37137246447796846,
      0.36551943863414843,
      0.3597600023341707,
      0.35409272749473375,
      0.348516147684582,
      0.3430287826636415,
      0.33762910327030127,
      0.33231531910590983,
      0.32708564703813586,
      0.32193854024877294,
      0.3168726309921288,
      0.3118865551724886,
      0.30697875567864313,
      0.3021476474407263,
      0.2973917772278492,
      0.29270980401434044,
      0.2881004592975507,
      0.2835625171572067,
      0.27909478740753574,
      0.2746961103343634,
      0.27036535304004783,
      0.26610140714414593,
      0.2619031870343169,
      0.2577696283704113,
      0.2536996874630052,
      0.24969246299157527,
      0.24574742177825676,
      0.2418639555647416,
      0.2380413273991447,
      0.23427872140737532,
      0.2305752752405755,
      0.22693010153097326,
      0.22334230199987204,
      0.2198109766010196,
      0.2163352294781515,
      0.21291417294409676,
      0.20954692986709378,
      0.20623263495809488,
      0.20297039625386823,
      0.19975926124331037,
      0.19659831798815502,
      0.19348670179172084,
      0.19042358381010766,
      0.18740816327449303,
      0.18443966208730664,
      0.18151732160799802,
      0.17864040007743273,
      0.1758081708502871,
      0.17301992144913683,
      0.17027495248948307,
      0.1675725770257361,
      0.16491212020230506,
      0.16229291873823623,
      0.1597143206835756,
      0.15717568509028618,
      0.15467638179496124,
      0.1522157909819597,
      0.14979330314344974,
      0.14740831874899898,
      0.14506024829254183,
      0.14274851199868982,
      0.14047253949888974,
      0.13823176975071863,
      0.13602565093302255,
      0.13385364013254092,
      0.13171520329218694,
      0.12960981502619334,
      0.12753695854422778,
      0.12549612532140542,
      0.12348681507347882,
      0.12150853559818882,
      0.11956080267971349,
      0.11764313977032716,
      0.11575507797546032,
      0.11389615603164543,
      0.11206592008610698,
      0.11026392339165451,
      0.10848972652112418,
      0.10674289688653721,
      0.10502300892339106,
      0.10332964378237271,
      0.10166238927902153,
      0.1000208398082317,
      0.09840459617879456,
      0.09681326552705373,
      0.09524646124527876,
      0.09370380279155956,
      0.09218491576215682,
      0.09068943158383003,
      0.08921698750653695,
      0.08776722646968761,
      0.0863397970962278,
      0.08493435360494209,
      0.08355055547179577,
      0.08218806762847024,
      0.08084656030106217,
      0.07952570885536174,
      0.0782251937205025,
      0.07694470045162614,
      0.0756839194257125,
      0.07444254588265405,
      0.07322027987522378,
      0.072016826125454,
      0.07083189409496973,
      0.06966519758891931,
      0.06851645490364489,
      0.06738538875854327,
      0.06627172639047374,
      0.06517519903482447,
      0.06409554222584446,
      0.06303249561360243,
      0.0619858028976799,
      0.06095521183634638,
      0.05994047395582182,
      0.05894134476017721,
      0.05795758348185881,
      0.056988953193033653,
      0.05603522055252618,
      0.05509615585567166,
      0.054171533069201964,
      0.05326112954870036,
      0.05236472614142557,
      0.05148210725738998,
      0.0506130603685291,
      0.04975737627012691,
      0.048914849211703394,
      0.0480852764841757,
      0.04726845864205581,
      0.0464641992225343,
      0.045672304838790985,
      0.04489258505872685,
      0.04412485236187221,
      0.04336892215525689,
      0.0426246127936475,
      0.04189174543334612,
      0.04117014389311362,
      0.04045963476084573,
      0.03976004729115745,
      0.03907121340869519,
      0.03839296761670012,
      0.03772514695060133,
      0.03706759102363241,
      0.0364201418885433,
      0.03578264394679294,
      0.0351549441370632,
      0.03453689173598855,
      0.0339283383874721,
      0.03332913800406436,
      0.03273914660734788,
      0.03215822256113636,
      0.03158622643214702,
      0.031023020884572435,
      0.030468470627156415,
      0.0299224426227263,
      0.029384805797505218,
      0.028855431114470895,
      0.028334191520615618,
      0.027820961819369862,
      0.02731561893192165,
      0.02681804160687131,
      0.026328110359678244,
      0.025845707667016885,
      0.02537071782508978,
      0.02490302691077655,
      0.02444252262834781,
      0.023989094570137048,
      0.02354263391788964,
      0.023103033506969916,
      0.022670187807558115,
      0.022243993084121765,
      0.021824347121520777,
      0.021411149238100984,
      0.021004300322599093,
      0.020603702697265566,
      0.020209260308076002,
      0.019820878539172134,
      0.01943846422403884,
      0.01906192571314141,
      0.018691172667548595,
      0.01832611623328219,
      0.017966668750088344,
      0.017612744057031348,
      0.017264257224764535,
      0.0169211246489869,
      0.016583264142718216,
      0.01625059469039434,
      0.01592303648025633,
      0.015600510928693266,
      0.015282940766700745,
      0.014970249813101405,
      0.014662363095915568,
      0.014359206755518255,
      0.014060708130639366,
      0.01376679550494716,
      0.013477398544768244,
      0.013192447896234399,
      0.012911875263058196,
      0.01263561330401236,
      0.012363595763425782,
      0.012095757376588443,
      0.011832033976571912,
      0.011572362318642145,
      0.011316680226801107,
      0.011064926305186754,
      0.01081704019371085,
      0.010572962432779729,
      0.010332634503654285,
      0.010095998834410579,
      0.009862998701106275,
      0.009633578278916942,
      0.009407682607556691,
      0.00918525747743458,
      0.008966249566867463,
      0.008750606385393121,
      0.008538276176175608,
      0.008329208075442698,
      0.008123351836418302,
      0.007920658185882095,
      0.007721078535110239,
      0.007524565031053348,
      0.007331070648664438,
      0.007140548929593474,
      0.006952954239236055,
      0.006768241549148423,
      0.006586366635866184,
      0.006407285926339002,
      0.006230956505026728,
      0.006057336136438253,
      0.005886383150081335,
      0.005718056480674577,
      0.005552315717531097,
      0.005389121231118659,
      0.005228434004660922,
      0.005070215449750068,
      0.004914427572915261,
      0.00476103307452744,
      0.00460999520244107,
      0.0044612777540044895,
      0.0043148450040726045,
      0.0041706618698737355,
      0.0040286938243950165,
      0.003888906888156241,
      0.0037512675145822275,
      0.003615742636678076,
      0.0034822997790428965,
      0.003350907025595701,
      0.0032215328308182758,
      0.003094146201228169,
      0.0029687166754024698,
      0.0028452142172271074,
      0.0027236091489469924,
      0.0026038722444634227,
      0.002485974799159259,
      0.002369888542510456,
      0.0022555857562442864,
      0.0021430389811539566,
      0.0020322212589994394,
      0.0019231060075970406,
      0.0018156670692164518,
      0.0017098787859849331,
      0.0016057157018708103,
      0.0015031528700743706,
      0.0014021657422406723,
      0.0013027300974911855,
      0.0012048220428802585,
      0.0011084180403449898,
      0.001013495030695946,
      0.0009200303492461575,
      0.0008280015924398064,
      0.0007373867017777617,
      0.0006481638642979309,
      0.0005603117260186423,
      0.00047380931451721333,
      0.00038863582919425934,
      0.00030477084593691546,
      0.00022219423706999048,
      0.00014088620034764088,
      6.0827378456342266e-05,
      -1.8001522407686696e-05,
      -9.561935015055679e-05,
      -0.00017204472724610188,
      -0.0002472959963285637,
      -0.00032139122887902644,
      -0.0003943481561813065,
      -0.0004661841687456619,
      -0.0005369166202904363,
      -0.0006065624820865567,
      -0.0006751384288656643,
      -0.000742660783394517,
      -0.0008091456886495729,
      -0.0008746091329976857,
      -0.0009390668920829479,
      -0.001002534476404874,
      -0.0010650270012208024,
      -0.0011265594814247422,
      -0.0011871466039811082,
      -0.0012468029385456502,
      -0.0013055428672989903,
      -0.0013633803933061257,
      -0.0014203293609252972,
      -0.0014764033574507613,
      -0.0015316159128578764,
      -0.0015859802156996624,
      -0.0016395093684032779,
      -0.0016922161970409576,
      -0.0017441132826963906,
      -0.001795213093376103,
      -0.001845527823135564,
      -0.0018950695925865455,
      -0.0019438502739543885,
      -0.0019918814484584314,
      -0.002039174738240168,
      -0.0020857415081679304,
      -0.002131592910842905,
      -0.0021767399238044917,
      -0.002221193354427831,
      -0.0022649638570188427,
      -0.0023080618791601454,
      -0.0023504977154763717,
      -0.0023922815672066926,
      -0.0024334235757320116,
      -0.0024739335317220095,
      -0.002513821174374967,
      -0.002553096045166004,
      -0.0025917675252402966,
      -0.0026298449550864085
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335172453374954,
      10.095118140286141,
      9.849500456919136,
      9.600950987602875,
      9.35177782856193,
      9.103986923895434,
      8.859252418833517,
      8.6189022460153,
      8.38391842886831,
      8.15495271189915,
      7.932356147808369,
      7.716219290798047,
      7.506418754240812,
      7.30266596456586,
      7.104556270076724,
      6.911613146664738,
      6.723324204436667,
      6.539173250841257,
      6.358664606226554,
      6.181341558191275,
      6.0067972691467,
      5.834674978595258,
      5.664688902432639,
      5.496634516498137,
      5.330383598898687,
      5.165886250953192,
      5.003170895065367,
      4.842330645270744,
      4.683527481498115,
      4.527000656728934,
      4.373074082993346,
      4.222108130759807,
      4.0744863372769595,
      3.9306019311474087,
      3.7908466840747765,
      3.655593311105974,
      3.525176684376456,
      3.399885272188304,
      3.2799549034426767,
      3.165564968067993,
      3.0568369877103154,
      2.953824490818544,
      2.856508551254549,
      2.764793302226307,
      2.678522621207955,
      2.5974946229313054,
      2.521472035173228,
      2.450201280773336,
      2.383427278533522,
      2.3208797864609925,
      2.2622562221367426,
      2.2072184859955537,
      2.1553898907182494,
      2.106409920724098,
      2.05993825017868,
      2.0156647087878836,
      1.9733177852847965,
      1.9326721076986826,
      1.8935402907467669,
      1.8557740660267317,
      1.8192527372871752,
      1.7838726289955147,
      1.7495428898527665,
      1.7161893459957431,
      1.683750777021162,
      1.6521754490032283,
      1.6214186806167379,
      1.5914411253791478,
      1.5622075565458762,
      1.533685999324743,
      1.5058470455048631,
      1.4786613420888557,
      1.4521005645669023,
      1.4261396321708881,
      1.400756316724489,
      1.3759303594616736,
      1.3516435088840202,
      1.3278782932707214,
      1.3046181413396112,
      1.2818488925054425,
      1.2595571716394918,
      1.2377294544654436,
      1.2163542203875162,
      1.1954210301817907,
      1.174918713961813,
      1.154835801017876,
      1.1351610036048352,
      1.1158841218978917,
      1.0969952865148838,
      1.0784849964759293,
      1.0603437290341453,
      1.0425619158334005,
      1.0251300862801247,
      1.00803895619482,
      0.9912794805424705,
      0.9748428837977061,
      0.9587206730674146,
      0.9429046425693381,
      0.9273868715272547,
      0.9121597181313348,
      0.8972158117360797,
      0.8825480432658499,
      0.8681495550028232,
      0.8540137302611888,
      0.8401341833366264,
      0.8265047495520805,
      0.8131194754166667,
      0.7999726094628951,
      0.7870585932553036,
      0.7743720530460961,
      0.7619077917353204,
      0.749660780531403,
      0.7376261526525391,
      0.7257991961930308,
      0.7141753468584676,
      0.702750182005688,
      0.691519414902528,
      0.6804788892135579,
      0.6696245736121327,
      0.6589525562369921,
      0.6484590402851949,
      0.6381403392331664,
      0.6279928578932181,
      0.6180130757315798,
      0.6081975935230471,
      0.5985431150067869,
      0.5890464395329384,
      0.5797044572587258,
      0.5705144124805239,
      0.5614738582465412,
      0.5525802637721495,
      0.5438310413801366,
      0.5352235900097118,
      0.5267553228627537,
      0.5184236843619097,
      0.5102261606743993,
      0.5021602853319331,
      0.4942236426871783,
      0.48641386951867027,
      0.4787286551163455,
      0.4711657411659657,
      0.4637229204071666,
      0.4563980361405643,
      0.44918898064010787,
      0.4420936938046388,
      0.4351102507133754,
      0.42823736575121235,
      0.42147386677266874,
      0.41481832416216546,
      0.4082691580084587,
      0.4018247055140305,
      0.3954832643332401,
      0.389243119910349,
      0.3831025627247872,
      0.37705989920204935,
      0.3711135342352856,
      0.36526214198855517,
      0.35950435904643185,
      0.353838748897954,
      0.3482638397025948,
      0.342778147712578,
      0.33738018542807935,
      0.3320682216305619,
      0.32684043404789487,
      0.3216952627967403,
      0.316631324274967,
      0.3116472397281654,
      0.3067414434360134,
      0.301912343281704,
      0.29715848207298434,
      0.2924785169639283,
      0.28787117654360156,
      0.2833352332876177,
      0.2788694956460734,
      0.2744728030274585,
      0.27014402202389726,
      0.2658820438027425,
      0.2616857824554613,
      0.2575541736387124,
      0.2534861733150883,
      0.24948089718876815,
      0.24553781289214066,
      0.2416563053319734,
      0.23783563314595654,
      0.23407497743797143,
      0.23037347376776043,
      0.22673023339372808,
      0.22314435710720767,
      0.2196149441802007,
      0.21614109834448675,
      0.21272193164074768,
      0.2093565666879471,
      0.20604413814694608,
      0.20278374983868905,
      0.19957444888088754,
      0.196415324782403,
      0.19330551391640338,
      0.19024418802011087,
      0.18723054680029985,
      0.18426381254290214,
      0.18134322682325194,
      0.17846804794288823,
      0.17563754932735579,
      0.17285101853477466,
      0.1701077562376802,
      0.16740707563843027,
      0.1647483018531858,
      0.16213077165674292,
      0.15955383307269874,
      0.15701684500564617,
      0.15451917719463487,
      0.15206020992171912,
      0.14963933373614005,
      0.14725594920675494,
      0.14490946675248167,
      0.1425993065130869,
      0.14032489827272332,
      0.1380856809469165,
      0.13588110263610695,
      0.1337106204705912,
      0.13157370049482311,
      0.12946981727295573,
      0.12739845400300948,
      0.12535910235215603,
      0.123351261897676,
      0.12137444042559652,
      0.1194281537521188,
      0.11751192543034579,
      0.11562528664689352,
      0.11376777614858401,
      0.11193893999619157,
      0.11013833159014917,
      0.10836551150963859,
      0.10662004715239717,
      0.10490151301408814,
      0.10320949034210332,
      0.10154356695176411,
      0.09990333731848372,
      0.09828840226002065,
      0.09669836889452696,
      0.09513285065124683,
      0.09359146717595368,
      0.09207384399652244,
      0.09057961248221187,
      0.089108410052289,
      0.08765987974998114,
      0.08623367021163285,
      0.08482943566780929,
      0.08344683573818987,
      0.08208553536656248,
      0.08074520477410438,
      0.07942551939971774,
      0.07812615980173891,
      0.07684681140588398,
      0.07558716476071632,
      0.07434691519717387,
      0.07312576282363702,
      0.07192341239191942,
      0.0707395732751866,
      0.06957395947878796,
      0.06842628942921947,
      0.06729628587770707,
      0.0661836760074905,
      0.06508819124526723,
      0.06400956716158905,
      0.06294754337361061,
      0.061901863739646984,
      0.06087227593934614,
      0.05985853165658741,
      0.05886038649078881,
      0.057877599736675264,
      0.056909934498838896,
      0.05595715745137667,
      0.05501903904066383,
      0.05409535325652901,
      0.053185877566279065,
      0.05229039292243399,
      0.05140868351600746,
      0.05054053707007749,
      0.04968574456460407,
      0.048844100228014144,
      0.04801540142318053,
      0.047199448717337514,
      0.04639604569660681,
      0.04560499899557589,
      0.04482611827507714,
      0.04405921612531515,
      0.04330410804674713,
      0.042560612391633404,
      0.04182855036693667,
      0.04110774599109364,
      0.04039802583227498,
      0.039699219227373274,
      0.039011158126570036,
      0.03833367708450088,
      0.037666613264852676,
      0.03700980620039342,
      0.03636309813470413,
      0.03572633368050472,
      0.03509935974207799,
      0.0344820256213483,
      0.03387418289416938,
      0.033275685559972124,
      0.03268638976740469,
      0.03210615397222122,
      0.03153483878538202,
      0.030972306874023303,
      0.030418423080445033,
      0.029873054415968225,
      0.02933606994204773,
      0.028807340653230415,
      0.028286739532700757,
      0.02777414155864147,
      0.027269423686049444,
      0.026772464690273192,
      0.026283145087490002,
      0.02580134736705697,
      0.025326955913651212,
      0.02485985674602367,
      0.02439993775168041,
      0.023947088515498552,
      0.023501200230984082,
      0.023062165993509444,
      0.022629880394718895,
      0.022204239548610064,
      0.021785141289412033,
      0.021372485025994783,
      0.020966171697907095,
      0.02056610384562384,
      0.020172185285887184,
      0.019784321511255698,
      0.019402419485376687,
      0.019026387437538556,
      0.018656135075812208,
      0.01829157371657783,
      0.017932615937271707,
      0.017579175513606875,
      0.017231167533532436,
      0.016888508515972393,
      0.016551116160153097,
      0.016218909538176878,
      0.01589180895613508,
      0.015569735883233949,
      0.0152526130258092,
      0.014940364348688024,
      0.014632914834451713,
      0.014330190672648018,
      0.014032119256694136,
      0.013738629115595117,
      0.0134496498754406,
      0.013165112046944209,
      0.012884947395435355,
      0.012609088686176197,
      0.012337469751207192,
      0.012070025452669095,
      0.01180669165003167,
      0.011547405151963046,
      0.01129210365295328,
      0.011040725959858761,
      0.010793211751467174,
      0.010549501730381296,
      0.010309537250032037,
      0.010073260880161902,
      0.00984061586317823,
      0.009611546419657079,
      0.009385997593042672,
      0.009163915224806519,
      0.008945245971055012,
      0.00872993734133852,
      0.008517937778738272,
      0.008309196508666709,
      0.00810366340972264,
      0.007901289045871264,
      0.007702024968526768,
      0.0075058233675992375,
      0.007312637220980447,
      0.007122420135471781,
      0.00693512640000753,
      0.0067507112325397925,
      0.006569130356178481,
      0.006390340156305378,
      0.006214297719227107,
      0.006040960765648898,
      0.005870287719906174,
      0.0057022377249714784,
      0.005536770482272433,
      0.005373846201551068,
      0.0052134259027852405,
      0.005055471033949649,
      0.004899943752573351,
      0.004746806681635632,
      0.004596023144504529,
      0.004447556925539741,
      0.004301372516139142,
      0.004157434797120995,
      0.004015709142636771,
      0.003876161589592557,
      0.0037387586726161243,
      0.0036034674261028266,
      0.0034702554647861356,
      0.0033390907994686474,
      0.00320994189587893,
      0.0030827778880441526,
      0.002957568285035588,
      0.002834283016868548,
      0.0027128924442620436,
      0.002593367457980713,
      0.0024756793838422476,
      0.002359799984574362,
      0.002245701469922571,
      0.0021333566037211996,
      0.002022738266067944,
      0.00191381996435009,
      0.0018065756524577835,
      0.0017009795333127818,
      0.0015970061992972384,
      0.0014946307233624574,
      0.0013938285420696432,
      0.001294575537166798,
      0.0011968479794250315,
      0.0011006223523354396,
      0.0010058756099109941,
      0.0009125849335838719,
      0.0008207279987149685,
      0.000730282899708662,
      0.0006412278476824269,
      0.0005535413777737967,
      0.00046720250637350926,
      0.0003821905024429315,
      0.00029848511786912914,
      0.00021606617726467413,
      0.00013491388671003386,
      5.500876244405925e-05,
      -2.3668445633727298e-05,
      -0.00010113654968712756,
      -0.00017741399776783482,
      -0.0002525191625246621,
      -0.00032647006982022326,
      -0.00039928438673880474,
      -0.0004709796374378957,
      -0.0005415729600470572,
      -0.0006110813903027358,
      -0.0006795215913360094,
      -0.0007469099636527355,
      -0.0008132626711960373,
      -0.0008785956222876434,
      -0.0009429244810679985,
      -0.0010062648434643036,
      -0.001068631757824867,
      -0.0011300402356723461,
      -0.0011905050306337422,
      -0.0012500404483473926,
      -0.0013086608542885127,
      -0.0013663803229319977,
      -0.0014232126741251373,
      -0.0014791715779514682,
      -0.0015342705069370116,
      -0.0015885226678980402,
      -0.0016419410728760239,
      -0.0016945385838911548,
      -0.001746327810829289,
      -0.0017973211035235206,
      -0.0018475306450083519,
      -0.0018969685056330005,
      -0.0019456465821563317,
      -0.001993576530033576,
      -0.0020407698792638345,
      -0.002087237946013805,
      -0.002132991826054055,
      -0.002178042571990014,
      -0.00222240100135525,
      -0.002266077694491973,
      -0.0023090830995481735,
      -0.002351427586500929,
      -0.00239312123956958,
      -0.002434174119198448,
      -0.0024745960984705277,
      -0.0025143967874839833,
      -0.0025535857997932617,
      -0.0025921725611220497,
      -0.0026301662955996365
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335168973042096,
      10.09510551047904,
      9.849472810634403,
      9.600904117372822,
      9.351708818017325,
      9.103893882241653,
      8.85913423928643,
      8.618758400894212,
      8.383748789358076,
      8.154757396506179,
      7.932135404084003,
      7.7159734129412785,
      7.5061480249993675,
      7.302370613598311,
      7.104236572294383,
      6.911269386300035,
      6.722956642875156,
      6.538782162589885,
      6.358250368572462,
      6.180904655656406,
      6.006338409650087,
      5.834195096551862,
      5.664189114305565,
      5.496116180667957,
      5.329848306455307,
      5.165335828655372,
      5.0026072790612535,
      4.841756066104162,
      4.682944464266548,
      4.526412329156219,
      4.372484019074951,
      4.221519880041354,
      4.073903403982938,
      3.9300277880792245,
      3.790284764464101,
      3.6550467598504697,
      3.524648308119145,
      3.3993774987515173,
      3.2794697544139795,
      3.165104044931344,
      3.0564014709894547,
      2.9534150135353197,
      2.856125168591853,
      2.764435501863933,
      2.67818927078645,
      2.5971839936796033,
      2.52118224155121,
      2.4499304118746603,
      2.3831733045150587,
      2.3206405083136428,
      2.2620294103906486,
      2.2070014989006563,
      2.155180182619212,
      2.1062052214602214,
      2.059736483966316,
      2.0154639862008494,
      1.973116619558421,
      1.9324693895511647,
      1.893335217630384,
      1.8555660671818,
      1.8190414102173413,
      1.7836576600077119,
      1.7493240630889166,
      1.7159665376711923,
      1.6835239282353747,
      1.6519445469432996,
      1.6211837443810995,
      1.591202196193945,
      1.561964690508295,
      1.5334392628855464,
      1.5055965277326164,
      1.478407158901982,
      1.4518428196361672,
      1.425878434586306,
      1.4004917606144915,
      1.3756625489249634,
      1.3513725448205716,
      1.3276042681393443,
      1.3043412169045876,
      1.281569334024522,
      1.2592751776437825,
      1.2374452847318858,
      1.216068250886645,
      1.1951335252541402,
      1.17462986445477,
      1.1545457489295594,
      1.1348698684669707,
      1.1155920169286633,
      1.0967023065359949,
      1.0781912274405894,
      1.0600492422307852,
      1.0422667718381742,
      1.0248343384833236,
      1.0077426529391167,
      0.9909826676050159,
      0.9745456043700683,
      0.9584229687944521,
      0.9426065538165446,
      0.9270884375380845,
      0.911860977430603,
      0.8969168020172069,
      0.882248801625701,
      0.8678501179151759,
      0.8537141336943945,
      0.8398344630164156,
      0.8262049404032572,
      0.8128196117082236,
      0.7996727252505365,
      0.7867587220023858,
      0.7740722277710325,
      0.7616080445151739,
      0.7493611432429609,
      0.7373266567392891,
      0.7254998721959599,
      0.7138762250061342,
      0.7024512921865937,
      0.691220786782995,
      0.680180551890558,
      0.669326555233226,
      0.6586548846032775,
      0.6481617429384486,
      0.6378434431042311,
      0.6276963942321662,
      0.6177170817695178,
      0.6079021016758486,
      0.598248154426364,
      0.588752037158141,
      0.5794106526125078,
      0.5702213288462376,
      0.5611816087472983,
      0.5522889269804875,
      0.543540673099694,
      0.5349342314929726,
      0.5264670055418453,
      0.518136433041747,
      0.509939995680743,
      0.5018752240801453,
      0.4939397006504838,
      0.48613106059984845,
      0.47844699213680675,
      0.47088523604046895,
      0.4634435844891975,
      0.45611988028115397,
      0.44891201511311113,
      0.44181792848026524,
      0.4348357423758553,
      0.4279642346750347,
      0.42120219024114947,
      0.4145481521467226,
      0.4080005229335422,
      0.40155762836937015,
      0.3952177585793503,
      0.38897919428517136,
      0.382840222706671,
      0.37679914820331506,
      0.3708543999975549,
      0.36500465227761797,
      0.3592485305584133,
      0.3535845913049345,
      0.34801135787609594,
      0.3425273432909536,
      0.3371310648664772,
      0.3318208710225887,
      0.3265949387144361,
      0.32145168717871386,
      0.3163897109200624,
      0.31140761405189277,
      0.30650382031108847,
      0.3016767293615057,
      0.29692487963468767,
      0.2922469259523773,
      0.28764159398293826,
      0.28310765406699273,
      0.2786439132185284,
      0.2742492098597691,
      0.2699224099639103,
      0.26566240427748766,
      0.261468106589109,
      0.25733845215151124,
      0.2532723967622301,
      0.2492690733198179,
      0.2453279503475637,
      0.2414484058328975,
      0.237629693956543,
      0.23387099265209052,
      0.23017143554413363,
      0.22653013248224302,
      0.22294618329259153,
      0.21941868672069867,
      0.2159467460126978,
      0.21252947291397634,
      0.20916598979664203,
      0.2058554310952677,
      0.20259689644143655,
      0.19938943259479097,
      0.19623213079055998,
      0.19312412838239099,
      0.19006459782847196,
      0.18705273919676235,
      0.1840877751572167,
      0.18116894739945175,
      0.1782955143242072,
      0.1754667495928436,
      0.17268194068486606,
      0.16994038818379104,
      0.16724140528727588,
      0.16458431719632813,
      0.16196846060553305,
      0.1593931836741407,
      0.15685784544190937,
      0.15436181561678955,
      0.15190447438489815,
      0.14948521228653316,
      0.14710342982767494,
      0.14475853749466422,
      0.14244995546539088,
      0.1401771133991562,
      0.1379394503425536,
      0.13573641439495457,
      0.1335674627568236,
      0.13143206140377137,
      0.12932968506681836,
      0.12725981685716203,
      0.12522194826589508,
      0.12321557913858015,
      0.12124021734480149,
      0.11929537859316652,
      0.11738058648091419,
      0.11549537222490847,
      0.11363927454374546,
      0.11181183962117121,
      0.11001262096636652,
      0.10824117910696195,
      0.10649708150218981,
      0.10477990266303927,
      0.10308922383777336,
      0.10142463282773163,
      0.09978572420047825,
      0.09817209887016522,
      0.0965833640240275,
      0.09501913315236843,
      0.09347902581395721,
      0.09196266761302266,
      0.09046969012674275,
      0.08899973066910602,
      0.08755243225893977,
      0.08612744370327498,
      0.08472441919808237,
      0.08334301844769108,
      0.0819829064500722,
      0.0806437535426849,
      0.07932523520634309,
      0.07802703195109754,
      0.07674882942015746,
      0.07549031815293486,
      0.07425119354369931,
      0.07303115570300726,
      0.07182990945415822,
      0.07064716430169476,
      0.06948263428676696,
      0.06833603782717004,
      0.06720709771618195,
      0.06609554120126916,
      0.06500109970987375,
      0.06392350891511632,
      0.06286250862950943,
      0.061817842630990584,
      0.06078925871052158,
      0.05977650861330782,
      0.05877934794759849,
      0.05779753621535416,
      0.05683083654582619,
      0.05587901580557434,
      0.054941844305381064,
      0.05401909599071892,
      0.053110548506198216,
      0.05221598282188056,
      0.051335183298748484,
      0.05046793775665195,
      0.04961403719022715,
      0.04877327593869144,
      0.04794545134935702,
      0.04713036401283674,
      0.04632781760640276,
      0.04553761893666204,
      0.04475957773003242,
      0.043993506577628114,
      0.04323922104032532,
      0.042496539501222896,
      0.04176528324842305,
      0.04104527628213533,
      0.040336345419193086,
      0.03963831996229531,
      0.03895103199629006,
      0.038274316179479094,
      0.037608009621294985,
      0.036951951944388294,
      0.03630598534013222,
      0.03566995448156644,
      0.03504370641719983,
      0.03442709053765218,
      0.03381995852881586,
      0.03322216444531435,
      0.03263356454487038,
      0.032054017293602896,
      0.03148338323952561,
      0.0309215252953502,
      0.030368308304782533,
      0.0298235992588955,
      0.029287267310893816,
      0.02875918344302815,
      0.028239220789430655,
      0.02772725432469604,
      0.027223161068704756,
      0.026726819923791577,
      0.026238111621176223,
      0.025756918629841693,
      0.025283125352093056,
      0.024816617887690746,
      0.02435728411624955,
      0.023905013652986817,
      0.023459697855760412,
      0.023021229736943902,
      0.02258950404118887,
      0.022164416992126575,
      0.0217458664269291,
      0.021333751784560512,
      0.02092797406814277,
      0.020528435737165084,
      0.020135040872802754,
      0.01974769509455447,
      0.019366305368964155,
      0.01899077998238335,
      0.01862102874782355,
      0.018256962759592783,
      0.017898494713016404,
      0.017545538460624864,
      0.017198009196258517,
      0.016855823491629944,
      0.016518899153781123,
      0.016187155246501685,
      0.01586051212322023,
      0.015538891349818628,
      0.01522221569000198,
      0.014910409050610536,
      0.014603396495001305,
      0.014301104407244058,
      0.014003460158910732,
      0.013710392231578612,
      0.01342183025435211,
      0.01313770504617679,
      0.012857948191518583,
      0.012582492713905163,
      0.012311272418670924,
      0.01204422220590349,
      0.011781277891517172,
      0.01152237622897805,
      0.0112674551064949,
      0.011016453495115272,
      0.010769310967530947,
      0.01052596816488738,
      0.010286366737096592,
      0.01005044913310668,
      0.00981815876317107,
      0.009589439853140532,
      0.009364237416543087,
      0.009142497388712053,
      0.008924166567292738,
      0.008709192549797956,
      0.008497523680674952,
      0.008289109160519984,
      0.008083898960868117,
      0.007881843793670913,
      0.007682895025805303,
      0.007487005009930785,
      0.007294126668429847,
      0.007104213747750922,
      0.0069172206431206236,
      0.0067331024549214255,
      0.006551814908029491,
      0.006373314572475989,
      0.006197558603713372,
      0.006024504841894731,
      0.005854111735402009,
      0.0056863383621551,
      0.005521144453617724,
      0.005358490287416667,
      0.00519833684340966,
      0.005040645701270129,
      0.0048853789914697,
      0.004732499361208908,
      0.0045819701395143275,
      0.004433755161489663,
      0.004287818785230115,
      0.004144126051025911,
      0.004002642480641792,
      0.003863334100838149,
      0.003726167564545943,
      0.0035911098545089786,
      0.0034581285799987504,
      0.0033271917859953692,
      0.003198268050429439,
      0.0030713264053268715,
      0.00294633634880293,
      0.00282326794162172,
      0.0027020916642637575,
      0.0025827784410059553,
      0.002465299544798374,
      0.0023496268026511283,
      0.0022357324721991767,
      0.0021235892346909563,
      0.0020131700940219256,
      0.001904448608042441,
      0.0017973986318833531,
      0.0016919943934918915,
      0.0015882106788733376,
      0.0014860225738362617,
      0.0013854055508004605,
      0.0012863353534363702,
      0.0011887882831011919,
      0.0010927409275899055,
      0.0009981702602614784,
      0.0009050535240292426,
      0.0008133683073727669,
      0.0007230925964844981,
      0.0006342047777006133,
      0.0005466835973968447,
      0.00046050797661586373,
      0.0003756572654508126,
      0.00029211118118169726,
      0.00020984954400304852,
      0.000128852554234215,
      4.910075253934024e-05,
      -2.9424795435414457e-05,
      -0.00010674302529582726,
      -0.00018287249640335724,
      -0.00025783149020971666,
      -0.00033163815200945243,
      -0.0004043100852249381,
      -0.0004758647193464069,
      -0.0005463192828894787,
      -0.000615690648519991,
      -0.0006839955009999378,
      -0.0007512502183769052,
      -0.0008174708914738438,
      -0.0008826735081934448,
      -0.0009468736533916817,
      -0.0010100867931151386,
      -0.0010723280678934953,
      -0.0011336124093635663,
      -0.001193954510028442,
      -0.0012533688999052802,
      -0.0013118697936035197,
      -0.0013694712481398018,
      -0.0014261871797606328,
      -0.0014820311578031178,
      -0.0015370165851629652,
      -0.0015911566683589748,
      -0.0016444644055944979,
      -0.001696952606121166,
      -0.001748633794114265,
      -0.0017995203405751126,
      -0.0018496246137845813,
      -0.001898958652366056,
      -0.001947534155397412,
      -0.0019953628400854015,
      -0.002042456144224301,
      -0.0020888254045927108,
      -0.002134481799855566,
      -0.002179436273437158,
      -0.0022236995955821725,
      -0.002267282456680105,
      -0.002310195381849173,
      -0.002352448524262262,
      -0.0023940519848706363,
      -0.0024350157757073243,
      -0.0024753497192800252,
      -0.002515063595298,
      -0.0025541670008167256,
      -0.0025926692608818458,
      -0.0026305796115293897
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335165487725737,
      10.09509285764915,
      9.84944510960651,
      9.60085715011825,
      9.351639659774284,
      9.103800633986188,
      8.859015791146474,
      8.618614222961032,
      8.383578749990143,
      8.154561613163755,
      7.931914125216425,
      7.7157269310585015,
      7.505876622815279,
      7.302074529541019,
      7.1039160879440635,
      6.91092478718367,
      6.722588189560112,
      6.5383901281576176,
      6.357835128584039,
      6.180466693522429,
      6.005878432498996,
      5.833714038888337,
      5.663688094489906,
      5.495596557592441,
      5.329311671914854,
      5.164784011205052,
      5.002042218415618,
      4.841179997066655,
      4.6823599169461545,
      4.525822437569715,
      4.371892363754908,
      4.220930020308343,
      4.073318853311752,
      3.929452023404727,
      3.7897212232935327,
      3.6544985917725707,
      3.524118324038858,
      3.398868129998771,
      3.2789830257268053,
      3.1646415606975897,
      3.055964414209519,
      2.953004019116368,
      2.855740292301765,
      2.7640762173614517,
      2.677854436183536,
      2.5968718859281354,
      2.520890979925516,
      2.4496580894780755,
      2.3829178781136826,
      2.3203997678218773,
      2.2618011353971212,
      2.206783056135819,
      2.1549690331251767,
      2.105999100670984,
      2.0595333092523873,
      2.0152618600953374,
      1.9729140610562756,
      1.9322652937284674,
      1.8931287849468887,
      1.8553567289715507,
      1.8188287652972095,
      1.7834413950730583,
      1.7491039626189282,
      1.715742477464501,
      1.683295849552986,
      1.6517124370599183,
      1.6209476221126442,
      1.590962102173932,
      1.5617206799398629,
      1.5331914008289294,
      1.5053449028522339,
      1.4781518864852412,
      1.4515840029608504,
      1.425616182696089,
      1.4002261668257654,
      1.3753937167311194,
      1.3511005753900651,
      1.3273292535534433,
      1.304063319333789,
      1.2812888186002573,
      1.2589922424981472,
      1.2371601887208519,
      1.215781369864812,
      1.1948451235440145,
      1.1743401326326788,
      1.1542548288295895,
      1.1345778803321755,
      1.1152990729736934,
      1.0964085007492335,
      1.0778966460303545,
      1.0597539561540703,
      1.0419708415697526,
      1.0245378173930004,
      1.0074455899926615,
      0.9906851081204496,
      0.9742475912210142,
      0.9581245432473975,
      0.9423077557490481,
      0.9267893059027617,
      0.9115615505585487,
      0.8966171174558923,
      0.8819488963253276,
      0.8675500282540614,
      0.8534138954968564,
      0.8395341113080924,
      0.8259045100230444,
      0.8125191372513537,
      0.799372240495959,
      0.7864582602468538,
      0.7737718216215156,
      0.7613077264353998,
      0.7490609453810477,
      0.7370266103664747,
      0.7252000081789919,
      0.7135765736621128,
      0.7021518832818885,
      0.6909216493463617,
      0.6798817145781382,
      0.6690280465835591,
      0.658356732319911,
      0.6478639741049327,
      0.6375460843146529,
      0.6273994774376032,
      0.617420643652224,
      0.607606174430311,
      0.5979527670556821,
      0.5884572163981476,
      0.5791164720608655,
      0.5699279271817571,
      0.5608890807916731,
      0.5519973391883299,
      0.5432500736981226,
      0.5346446565638869,
      0.5261784831259941,
      0.517848985862997,
      0.509653642728019,
      0.5015899817386799,
      0.4936555836166563,
      0.48584808225053155,
      0.47816516499101996,
      0.4706045717045112,
      0.4631640942553403,
      0.45584157472852965,
      0.44863490433759723,
      0.44154202226758305,
      0.4345610972133218,
      0.4276909706578134,
      0.4209303846412381,
      0.41427785521970373,
      0.407731767099382,
      0.4012904345535869,
      0.39495214034727016,
      0.3887151600639273,
      0.38257777780714136,
      0.3765382955547146,
      0.3705951674574063,
      0.36474706779257565,
      0.35899261084193884,
      0.3533303457433789,
      0.34775879106937096,
      0.3422764568983898,
      0.33688185830699063,
      0.3315734272934061,
      0.3263493513858142,
      0.32120802519582076,
      0.31614801597741105,
      0.31116791089685436,
      0.30626612327976144,
      0.3014410449165497,
      0.29669120980041586,
      0.29201527042159753,
      0.2874119493747491,
      0.2828800150417676,
      0.27841827332866237,
      0.27402556155442126,
      0.2697007449948062,
      0.2654427140871613,
      0.2612503821873945,
      0.25712268425554313,
      0.2530585759461696,
      0.2490572070564426,
      0.2451180472887484,
      0.24124046777054298,
      0.23742371803092197,
      0.2336669730703315,
      0.22996936438297308,
      0.22633000037999423,
      0.2227479799812015,
      0.2192224013748283,
      0.21575236751948326,
      0.21233698974597237,
      0.20897539017439037,
      0.20566670308414134,
      0.20241002382342574,
      0.1992043987887567,
      0.19604892079646624,
      0.19294272835282922,
      0.18988499456723582,
      0.1868749199645399,
      0.18391172736308475,
      0.18099465868699258,
      0.17812297253007092,
      0.17529594261661968,
      0.17251285646627162,
      0.16977301480042895,
      0.1670757308355843,
      0.1644203296785791,
      0.1618061481148444,
      0.159232534120883,
      0.15669884675619503,
      0.15420445579146874,
      0.15174874148618292,
      0.14933109429912708,
      0.14695091479816058,
      0.14460761350262016,
      0.14230061060083096,
      0.14002933575224813,
      0.13779322799898525,
      0.13559173553293818,
      0.1334243155213174,
      0.13129043388196043,
      0.12918956528205833,
      0.127121192965887,
      0.12508480843668282,
      0.1230799115518654,
      0.12110601024931776,
      0.1191626202544146,
      0.1172492651867699,
      0.11536547624610582,
      0.11351079225980318,
      0.11168475942370701,
      0.10988693112400796,
      0.10811686798590009,
      0.10637413764031128,
      0.10465831452677221,
      0.10296897992810117,
      0.10130572178610153,
      0.09966813460349684,
      0.09805581941834347,
      0.09646838353329018,
      0.09490544036798021,
      0.09336660958032912,
      0.09185151679536102,
      0.09035979355824031,
      0.08889107741595766,
      0.08744501140269309,
      0.08602124421508117,
      0.0846194301022231,
      0.08323922879725651,
      0.08188030543629232,
      0.08054233036920033,
      0.07922497921810973,
      0.07792793262365463,
      0.07665087619344721,
      0.07539350054808899,
      0.07415550109520389,
      0.07293657793583078,
      0.07173643601628049,
      0.07055478483629522,
      0.06939133850491747,
      0.06824581554855072,
      0.0671179389485327,
      0.06600743597556226,
      0.0649140380490643,
      0.0638374808411545,
      0.06277750418581304,
      0.06173385203889807,
      0.060706272211251106,
      0.059694516539266954,
      0.05869834068536551,
      0.05771750412143686,
      0.056751770056381226,
      0.055800905352088315,
      0.054864680586643184,
      0.05394286980054927,
      0.053035250567690324,
      0.05214160393655113,
      0.05126171449874445,
      0.05039536997473577,
      0.0495423614221686,
      0.04870248316712754,
      0.04787553275416054,
      0.04706131077502633,
      0.04625962107450592,
      0.04547027041512733,
      0.04469306858259644,
      0.04392782828618285,
      0.04317436514021135,
      0.04243249763132012,
      0.04170204709323121,
      0.04098283760340588,
      0.040274695839479784,
      0.03957745133964835,
      0.03889093622082264,
      0.03821498518982328,
      0.037549435510105936,
      0.03689412689248871,
      0.036248901653180794,
      0.03561360441385789,
      0.03498808217970387,
      0.03437218446810118,
      0.03376576310654172,
      0.03316867205196148,
      0.03258076766380764,
      0.03200190854425905,
      0.03143195538701975,
      0.03087077102483621,
      0.03031822049847604,
      0.029774170898304992,
      0.0292384913159431,
      0.028711052765282775,
      0.02819172848642033,
      0.027680393634762948,
      0.027176925149041607,
      0.026681201957415142,
      0.02619310479663032,
      0.025712516337330432,
      0.025239321030387462,
      0.024773405093910073,
      0.024314656456228594,
      0.023862964775367212,
      0.02341822136992549,
      0.02298031932171819,
      0.022549153419909932,
      0.02212462001643973,
      0.02170661697481496,
      0.021295043823821334,
      0.02088980162321956,
      0.020490792961309682,
      0.020097921872434577,
      0.01971109398262968,
      0.01933021629269224,
      0.018955197291302572,
      0.01858594672341753,
      0.01822237574571458,
      0.017864397144704208,
      0.01751192482301423,
      0.017164874104880306,
      0.016823161550418866,
      0.01648670499768369,
      0.01615542360314579,
      0.015829237747590034,
      0.015508069061055266,
      0.01519184029379251,
      0.014880475465178582,
      0.014573899833017977,
      0.014272039714869738,
      0.013974822415502991,
      0.013682176559081768,
      0.01339403188538112,
      0.013110319216248504,
      0.012830970266802884,
      0.012555917867607473,
      0.012285096006626627,
      0.012018439512894954,
      0.011755884329022366,
      0.011497367431800031,
      0.01124282676295738,
      0.010992201170322955,
      0.010745430307805346,
      0.010502454837705111,
      0.010263216388769581,
      0.010027657619692236,
      0.009795721886154391,
      0.00956735337482361,
      0.009342497266044952,
      0.009121099607814837,
      0.008903107053093792,
      0.008688467267832208,
      0.008477128769770621,
      0.008269040739466197,
      0.008064153177181104,
      0.007862416789040542,
      0.007663783143662796,
      0.007468204545780048,
      0.007275634039837727,
      0.007086025289309046,
      0.00689933275118812,
      0.006715511528992749,
      0.006534517521141588,
      0.006356307247617915,
      0.006180837883052629,
      0.006008067273210338,
      0.005837953839280706,
      0.005670456777536535,
      0.005505535848173211,
      0.00534315143990775,
      0.005183264554864677,
      0.005025836693207893,
      0.004870830147532955,
      0.004718207594093151,
      0.004567932334246324,
      0.00441996825220504,
      0.004274279819640039,
      0.004130832038768025,
      0.003989590464261427,
      0.0038505212523858917,
      0.00371359095808475,
      0.0035787665565420214,
      0.0034460157842139054,
      0.0033153067257955604,
      0.0031866079500300383,
      0.0030598885833298794,
      0.002935118086793663,
      0.0028122666007750637,
      0.00269130455412019,
      0.0025722029042776475,
      0.0024549330614889995,
      0.002339466827436168,
      0.00222577637992923,
      0.002113834539124173,
      0.0020036144889034485,
      0.001895089652673153,
      0.0017882338497212987,
      0.0016830214597138473,
      0.001579427226658802,
      0.0014774262360340495,
      0.0013769939633429507,
      0.0012781063624138127,
      0.0011807396053843452,
      0.0010848703582491718,
      0.00099047560018434,
      0.0008975326858585306,
      0.0008060192055737909,
      0.000715913145406716,
      0.0006271929408363261,
      0.0005398372264524432,
      0.00045382496868884363,
      0.00036913551656402445,
      0.00028574850797440164,
      0.00020364403149249232,
      0.0001228023508776229,
      4.3204012326353034e-05,
      -3.517006662515883e-05,
      -0.00011233876125403734,
      -0.0001883205718051043,
      -0.00026313378517782025,
      -0.00033679647065325,
      -0.0004093262069582701,
      -0.00048074050782632245,
      -0.0005510564706640875,
      -0.0006202909074407297,
      -0.000688460588903708,
      -0.0007555817756972412,
      -0.0008216706260008943,
      -0.0008867430362846711,
      -0.0009508146656345871,
      -0.0010139008380107765,
      -0.0010760167552375938,
      -0.0011371772894213355,
      -0.001197397251314441,
      -0.0012566909585037072,
      -0.0013150727435720477,
      -0.0013725566219873267,
      -0.001429156487303386,
      -0.0014848858348436521,
      -0.0015397579800671922,
      -0.0015937861109438694,
      -0.0016469833650690064,
      -0.001699362423154702,
      -0.0017509359470781552,
      -0.0018017163177146615,
      -0.0018517156708768897,
      -0.001900946040427211,
      -0.001949419227364038,
      -0.001997146948006886,
      -0.002044140625294827,
      -0.0020904116057004437,
      -0.002135970917324786,
      -0.00218082952954788,
      -0.0022249981989130962,
      -0.0022684875240927237,
      -0.0023113080128433256,
      -0.002353469894316194,
      -0.00239498340109035,
      -0.0024358584272719374,
      -0.0024761047904632615,
      -0.00251573215551365,
      -0.0025547501298314886,
      -0.002593167944673263,
      -0.002630994917852969
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335161995391731,
      10.095080181293136,
      9.84941736040686,
      9.60081010301796,
      9.351570382067095,
      9.103707224788554,
      8.858897137049603,
      8.618469790098832,
      8.3834084050044,
      8.15436547365721,
      7.931692440102926,
      7.71547999358747,
      7.505604716790386,
      7.301777893942685,
      7.10359500567166,
      6.910579545154376,
      6.722219050786178,
      6.53799736858597,
      6.357419127061017,
      6.180027936237319,
      6.0054176283449685,
      5.833232123200736,
      5.663186186816436,
      5.495076018996565,
      5.328774096280461,
      5.16423122888083,
      5.001476169761552,
      4.840602919831274,
      4.681774343853954,
      4.525231505318312,
      4.371299655583558,
      4.220339101767657,
      4.072733243475282,
      3.9288752035689183,
      3.789156634089436,
      3.653949385694394,
      3.523587314079973,
      3.398357750002165,
      3.2784953016756444,
      3.1641780981246415,
      3.055526397426962,
      2.9525920834633705,
      2.8553544935398225,
      2.7637159835274985,
      2.6775185903330723,
      2.5965587185314476,
      2.5205986213920335,
      2.449384642547143,
      2.3826613002672317,
      2.3201578504039215,
      2.261571669199595,
      2.2065634188074634,
      2.1547566946136953,
      2.105791803254879,
      2.0593289749414443,
      2.0150585930728897,
      1.9727103808006212,
      1.93206009566942,
      1.8929212702593237,
      1.8551463292348027,
      1.8186150801032663,
      1.7832241107265372,
      1.7488828626360855,
      1.715517437796392,
      1.6830668110068328,
      1.651479385706062,
      1.620710575735715,
      1.590721100556654,
      1.561475778588495,
      1.532942665199267,
      1.5050924213911911,
      1.4778957738595606,
      1.45132436219353,
      1.4253531273728528,
      1.399959791980973,
      1.3751241230302507,
      1.3508278616678184,
      1.3270535102587744,
      1.303784707354214,
      1.28100760208636,
      1.2587086189070433,
      1.2368744171535462,
      1.2154938261250348,
      1.194556071713568,
      1.1740497631661142,
      1.1539632832064814,
      1.1342852772437841,
      1.1150055251937372,
      1.096114102803006,
      1.077601483424021,
      1.0594580991770641,
      1.041674350421639,
      1.0242407454602855,
      1.007147985941943,
      0.9903870169616955,
      0.973949055970128,
      0.9578256051045236,
      0.9420084546747136,
      0.9264896807277095,
      0.9112616391870692,
      0.896316957365984,
      0.8816485241454882,
      0.8672494801459204,
      0.8531132072248819,
      0.8392333179451209,
      0.8256036463092288,
      0.8122182373348443,
      0.7990713379706852,
      0.7861573885385109,
      0.7734710136790914,
      0.7610070145678609,
      0.748760361187103,
      0.7367261851138559,
      0.724899772692946,
      0.7132765580280458,
      0.7018521172263259,
      0.6906221619489703,
      0.6795825344843255,
      0.6687292017774761,
      0.6580582504992922,
      0.6475658824898521,
      0.637248409576103,
      0.6271022555149505,
      0.6171239097741543,
      0.6073099597211228,
      0.5976570996246257,
      0.5881621224646769,
      0.5788220251079648,
      0.5696342661753027,
      0.5605963006584851,
      0.5517055068412166,
      0.5429592375420045,
      0.5343548525786495,
      0.5258897390979332,
      0.5175613241337158,
      0.5093670822331823,
      0.501304538936671,
      0.4933712729962536,
      0.48556491725982176,
      0.4778831579903462,
      0.4703237344713118,
      0.4628844378200606,
      0.45556310966188396,
      0.4483576408280663,
      0.44126596991304534,
      0.43428634530029375,
      0.42741762645317016,
      0.4206585175810151,
      0.41400751018404425,
      0.40746297324353875,
      0.4010232106711101,
      0.39468649838639813,
      0.3884511076489441,
      0.38231531951949765,
      0.37627743422501386,
      0.37033593068600296,
      0.3644894831861049,
      0.358736694842529,
      0.35307610772443293,
      0.3475062357488075,
      0.3420255857780368,
      0.3366326708555212,
      0.33132597088789395,
      0.32610373281376914,
      0.3209643214144536,
      0.3159062739722144,
      0.3109281588313812,
      0.3060283779603997,
      0.30120531432633196,
      0.2964574969977791,
      0.29178357571492614,
      0.28718226982413797,
      0.2826523455500373,
      0.27819260722573547,
      0.27380189125010734,
      0.2694790622571933,
      0.26522301016378375,
      0.2610326481135062,
      0.25690691086697637,
      0.2528447537879882,
      0.2488453437167567,
      0.2449081512727847,
      0.24103254072783975,
      0.23721775706501616,
      0.23346297227913784,
      0.22976731578828025,
      0.2261298946189551,
      0.2225498067621786,
      0.2190261497374976,
      0.21555802610379163,
      0.2121445468422217,
      0.20878483391054983,
      0.20547802152265648,
      0.20222320066733412,
      0.19901941750509017,
      0.19586576634452876,
      0.19276138665375683,
      0.18970545230697353,
      0.18669716441136938,
      0.18373574599602274,
      0.18082043918017796,
      0.17795050272435772,
      0.17512521032552358,
      0.17234384961208815,
      0.16960572126353626,
      0.16691013852568656,
      0.1642564264910166,
      0.1616439219494342,
      0.1590719730277825,
      0.15653993875056293,
      0.1540471888523503,
      0.15159310357347666,
      0.14917707335101668,
      0.146798498816947,
      0.14445679047491952,
      0.14215136851903443,
      0.13988166262277263,
      0.13764711185670575,
      0.1354471643660208,
      0.13328127737999876,
      0.1311489168601119,
      0.1290495574603009,
      0.12698268253227568,
      0.12494778368044779,
      0.12294436057712049,
      0.12097192113958681,
      0.11902998126857432,
      0.11711806454799904,
      0.11523570222335518,
      0.11338243321721694,
      0.11155780359020868,
      0.10976136690297095,
      0.10799268385794827,
      0.1062513220027819,
      0.10453685589507383,
      0.10284886684471467,
      0.10118694285056232,
      0.09955067845126962,
      0.09793967466145613,
      0.09635353877091228,
      0.09479188433656408,
      0.09325433106237954,
      0.09174050464277045,
      0.09025003670948022,
      0.08878256460149751,
      0.08733773159396964,
      0.08591518649535175,
      0.08451458369032705,
      0.08313558282686109,
      0.08177784907511315,
      0.08044105291299437,
      0.07912486982826643,
      0.07782898057352636,
      0.0765530708444944,
      0.07529683134518253,
      0.07405995752130348,
      0.07284214964446006,
      0.07164311261790464,
      0.07046255606634387,
      0.06930019412142904,
      0.06815574530031024,
      0.06702893263197118,
      0.06591948344067664,
      0.06482712933941989,
      0.06375160604155464,
      0.06269265347414604,
      0.061650015588294256,
      0.060623440276961905,
      0.05961267939609617,
      0.05861748862583897,
      0.05763762757465926,
      0.05667285954827555,
      0.05572295149158702,
      0.054787673902559425,
      0.0538668009725918,
      0.052960110438566736,
      0.05206738344187607,
      0.0511884044127399,
      0.050322961173952505,
      0.049470844859899554,
      0.04863184992146698,
      0.04780577398401356,
      0.04699241774644609,
      0.0461915849967827,
      0.0454030825278312,
      0.04462672027430886,
      0.043862311035948745,
      0.04310967048132346,
      0.04236861721100148,
      0.04163897252562877,
      0.04092056057733392,
      0.04021320820381863,
      0.039516744973257814,
      0.038831002988304913,
      0.03815581707535773,
      0.03749102449090136,
      0.03683646506055239,
      0.0361919810635126,
      0.03555741726674714,
      0.03493262079694047,
      0.0343174412312447,
      0.0337117304048901,
      0.03311534253944704,
      0.032528133855027064,
      0.03194996301444808,
      0.03138069077474171,
      0.03082018014990017,
      0.030268296161953184,
      0.029724905956399286,
      0.029189878677487825,
      0.028663085580595587,
      0.028144399757844444,
      0.027633696392880065,
      0.027130852578341073,
      0.02663574730603362,
      0.02614826141996262,
      0.025668277563866665,
      0.02519568021849726,
      0.02473035564405806,
      0.02427219182960484,
      0.023821078512947808,
      0.0233769072198632,
      0.022939571087663292,
      0.02250896480336069,
      0.022084984789215084,
      0.02166752905172293,
      0.021256497132262787,
      0.020851790108190875,
      0.020453310663342193,
      0.020060962974404708,
      0.019674652627805454,
      0.019294286695621644,
      0.018919773695849487,
      0.018551023520248268,
      0.01818794755217506,
      0.017830458382897346,
      0.01747847001626254,
      0.017131897627010912,
      0.01679065794105267,
      0.016454669017010745,
      0.016123849969799656,
      0.015798121213290342,
      0.015477404447472221,
      0.015161622440364335,
      0.01485069929791402,
      0.014544560230005254,
      0.014243131721796122,
      0.013946341207065855,
      0.013654117311903198,
      0.01336638969553314,
      0.013083089219848694,
      0.01280414779928486,
      0.012529498311683427,
      0.012259074615152707,
      0.011992811746594424,
      0.011730645705092104,
      0.01147251343627647,
      0.011218352903066194,
      0.010968102892360495,
      0.010721703271287403,
      0.010479094817030927,
      0.010240219186654555,
      0.0100050189936596,
      0.009773437595424816,
      0.00954541927180283,
      0.009320909280066287,
      0.009099853601847513,
      0.008882199106626302,
      0.008667893394188244,
      0.008456884970759958,
      0.008249123173937485,
      0.008044558056639714,
      0.007843140369428658,
      0.00764482162176292,
      0.007449554183993012,
      0.0072572911452269614,
      0.0070679862436657135,
      0.006881593901437875,
      0.006698069344539785,
      0.006517368554519193,
      0.006339447942943783,
      0.0061642647465792455,
      0.005991776859542112,
      0.005821942826985765,
      0.005654721727082956,
      0.005490073385552768,
      0.005327958300742043,
      0.005168337565042756,
      0.005011172718423719,
      0.004856425960121145,
      0.004704060114778398,
      0.0045540385310379,
      0.00440632510296148,
      0.004260884319395419,
      0.0041176812579069725,
      0.003976681403376987,
      0.003837850989502397,
      0.0037011566817849945,
      0.003566565535825184,
      0.003434045141526519,
      0.0033035636358276278,
      0.003175089653662888,
      0.0030485923833507306,
      0.0029240413755257278,
      0.0028014067734953327,
      0.002680658928838252,
      0.0025617687938779797,
      0.0024447078968363486,
      0.00232944810911613,
      0.002215961662109835,
      0.0021042212290864042,
      0.001994199862298631,
      0.0018858712434751278,
      0.0017792093897597023,
      0.001674188628022514,
      0.0015707836021775785,
      0.0014689695744309703,
      0.001368722016346249,
      0.0012700168944979632,
      0.0011728303149679343,
      0.0010771389450902461,
      0.0009829198835582412,
      0.0008901504877613762,
      0.0007988084058393068,
      0.0007088716734883788,
      0.0006203186593537974,
      0.0005331280438025867,
      0.0004472789452642968,
      0.00036275064085740383,
      0.0002795228414120918,
      0.00019757547806845447,
      0.00011688890997786042,
      3.744374519922141e-05,
      -4.0779076415704924e-05,
      -0.0001177983641324812,
      -0.00019363269324501034,
      -0.0002683002933521318,
      -0.0003418190181080841,
      -0.0004142066571759738,
      -0.00048548056070629085,
      -0.000555657911052864,
      -0.0006247556439706827,
      -0.0006927901714455301,
      -0.0007597778661454764,
      -0.0008257348710664153,
      -0.0008906771121720328,
      -0.0009546202335946508,
      -0.001017579487252215,
      -0.0010795701301946218,
      -0.0011406069561116546,
      -0.0012007047162894099,
      -0.0012598779037561105,
      -0.0013181406958885124,
      -0.0013755070863497609,
      -0.001431990870053162,
      -0.0014876055954964878,
      -0.0015423646497224731,
      -0.0015962811900597966,
      -0.001649368278604226,
      -0.0017016385834861363,
      -0.001753104702193458,
      -0.0018037788738538652,
      -0.0018536733071172807,
      -0.0019028001581672552,
      -0.0019511712415102814,
      -0.0019987980951607183,
      -0.0020456921723546176,
      -0.0020918647401813382,
      -0.002137326955699441,
      -0.002182089731475266,
      -0.0022261637848675843,
      -0.002269559750288574,
      -0.0023122880933330644,
      -0.002354359063217835,
      -0.002395782630736676,
      -0.0024365688969017283,
      -0.002476727604248567,
      -0.002516268474246266,
      -0.00255520113730126,
      -0.0025935348078640692,
      -0.002631278638802487
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33515850082017,
      10.095067495739062,
      9.849389589765968,
      9.600763017927182,
      9.351501048202847,
      9.103613736261266,
      8.858778378038103,
      8.61832522847387,
      8.383237908915065,
      8.1541691608522,
      7.931470559855056,
      7.715232839951501,
      7.5053325724512865,
      7.301480997008734,
      7.103273640475441,
      6.910234000309231,
      6.721849590462716,
      6.537604268816128,
      6.357002767361952,
      6.179588803385303,
      6.004956433870449,
      5.832749805422649,
      5.662683867263551,
      5.494555060284308,
      5.328236092498332,
      5.163678012012017,
      5.000909683655081,
      4.84002540457826,
      4.6811883345752605,
      4.524640140715467,
      4.3707065224855235,
      4.219747767169729,
      4.072147227305851,
      3.9282979879313613,
      3.788591661937208,
      3.6533998102512224,
      3.523055948349133,
      3.3978470263810663,
      3.2780072459812635,
      3.1637143141537525,
      3.055088067009174,
      2.9521798398457815,
      2.854968391206755,
      2.763355450476573,
      2.6771824483880784,
      2.5962452571227073,
      2.5203059712581806,
      2.4491109076201965,
      2.382404438050722,
      2.3199156531399505,
      2.2613419283997125,
      2.2063435127107547,
      2.1545440946519685,
      2.1055842530968993,
      2.0591244102193174,
      2.0148551218424107,
      1.9725065149323824,
      1.931854725668433,
      1.8927135938246367,
      1.8549357758249123,
      1.8184012472785704,
      1.783006684251403,
      1.7486616256582415,
      1.7152922659698264,
      1.6828376447117737,
      1.651246211067924,
      1.6204734106708854,
      1.5904799851595237,
      1.5612307675868926,
      1.5326938235553316,
      1.5048398286468248,
      1.4776395427759508,
      1.4510645995123752,
      1.4250899524128615,
      1.3996933037635069,
      1.3748544218707122,
      1.350555045886471,
      1.3267776695253224,
      1.3035060431794259,
      1.280726364688208,
      1.2584249964696919,
      1.2365886625278104,
      1.2152063104085042,
      1.194267055822802,
      1.1737594357260914,
      1.1536717844886875,
      1.1339927263704015,
      1.114712033957532,
      1.0958197645060206,
      1.0773063838349464,
      1.0591623084520212,
      1.0413779287914449,
      1.023943746049732,
      1.006850456862771,
      0.9900890031892104,
      0.9736506002935663,
      0.9575267485594786,
      0.9417092372209027,
      0.9261901414609812,
      0.910961816187026,
      0.8960168880442216,
      0.8813482452804596,
      0.8669490280117862,
      0.8528126174576411,
      0.8389326260116716,
      0.8253028867479595,
      0.8119174442594033,
      0.7987705452602947,
      0.7858566290541128,
      0.7731703200480484,
      0.7607064189430836,
      0.7484598954311517,
      0.7364258805426781,
      0.7245996600412011,
      0.7129766675582278,
      0.7015524784489471,
      0.6903228041737789,
      0.6792834861431293,
      0.6684304908067518,
      0.6577599044611875,
      0.6472679283291597,
      0.6369508755825196,
      0.6268051786536624,
      0.6168273245136838,
      0.6070138966987291,
      0.597361586784294,
      0.5878671855966148,
      0.5785277791739228,
      0.5693408348059863,
      0.5603037694621049,
      0.5514139362821767,
      0.5426686716375696,
      0.5340653245860925,
      0.525601275507561,
      0.5172739464471424,
      0.5090808084137862,
      0.5010193849202352,
      0.49308725322183766,
      0.48528204475867337,
      0.477601445075703,
      0.4700431927335218,
      0.46260507814049306,
      0.4552849424736024,
      0.44808067609086466,
      0.4409902173623783,
      0.43401190503535314,
      0.42714460176182983,
      0.42038697538330577,
      0.41373749370918733,
      0.40719451029546583,
      0.40075631936852146,
      0.39442119037094175,
      0.3881873902494269,
      0.382053197387799,
      0.3760169099413196,
      0.37007703150787813,
      0.36423223656285764,
      0.35848111732008686,
      0.35282220848157375,
      0.3472540191625755,
      0.34177505325614393,
      0.33638382186580584,
      0.33107884798697085,
      0.3258584448283617,
      0.32072094682402613,
      0.31566486057127885,
      0.31068873528973173,
      0.3057909611237236,
      0.3009699123481932,
      0.2962241132136041,
      0.2915522104480326,
      0.2869529202440869,
      0.28242500652196195,
      0.2779672720729224,
      0.2735785524319672,
      0.2692577115712987,
      0.2650036389435026,
      0.26081524730743666,
      0.2566914711785789,
      0.2526312657616187,
      0.24863381472823826,
      0.24469858970758557,
      0.24082494823351322,
      0.2370121307459806,
      0.233259306097213,
      0.2295656017588612,
      0.22593012348951552,
      0.22235196826475662,
      0.2188302329509641,
      0.21536401962098314,
      0.21195243906138095,
      0.20859461289226813,
      0.20528967525152467,
      0.2020367128343074,
      0.19883477151626333,
      0.1956829472398536,
      0.19258038048780754,
      0.1895262458506113,
      0.18651974476620797,
      0.18356010061630945,
      0.18064655569162497,
      0.17777836880651826,
      0.17495481378428449,
      0.1721751782992181,
      0.1694387632312459,
      0.16674488174223676,
      0.1640928589813954,
      0.16148203175136375,
      0.1589117481724623,
      0.1563813671730762,
      0.15389025847246388,
      0.15143780229980972,
      0.14902338912894972,
      0.1466464195682514,
      0.14430630419570542,
      0.14200246325048518,
      0.13973432633860147,
      0.13750133249629676,
      0.1353029299943841,
      0.1331385760106379,
      0.13100773662710186,
      0.12890988660610597,
      0.12684450909016703,
      0.12481109569671227,
      0.1228091462245631,
      0.12083816862774895,
      0.11889767877291631,
      0.11698720030396542,
      0.11510626457600592,
      0.11325441039092694,
      0.11143118406216827,
      0.10963613905849276,
      0.10786883598234209,
      0.10612884250174305,
      0.10441573318416934,
      0.10272908944903748,
      0.10106849930079015,
      0.09943355736410667,
      0.09782386467399641,
      0.09623902858287298,
      0.09467866262558634,
      0.09314238660877044,
      0.0916298262828698,
      0.09014061330825071,
      0.08867438504399063,
      0.08723078482123879,
      0.08580946151203532,
      0.08441006951175473,
      0.08303226857560198,
      0.08167572396343611,
      0.08034010614570157,
      0.07902509071266106,
      0.07773035844472596,
      0.07645559514051561,
      0.07520049145006134,
      0.07396474286230012,
      0.07274804970039836,
      0.07155011705795691,
      0.07037065458082742,
      0.06920937645974441,
      0.06806600133404622,
      0.06694025229781729,
      0.06583185667396042,
      0.06474054604888772,
      0.06366605626205528,
      0.06260812733195209,
      0.061566503152433394,
      0.060540931788803216,
      0.05953116521958958,
      0.058536959156775155,
      0.057558073210400795,
      0.056594270689420405,
      0.05564531865790464,
      0.054710987750882414,
      0.053791052159333094,
      0.05288528964440865,
      0.05199348136464449,
      0.05111541193858623,
      0.05025086927549843,
      0.049399644542463914,
      0.04856153222982999,
      0.047736330015851314,
      0.04692383864978588,
      0.04612386202804304,
      0.0453362070500675,
      0.044560683723896495,
      0.043797104892582456,
      0.04304528621301365,
      0.04230504629819318,
      0.0415762066573912,
      0.040858591428236044,
      0.040152027576706335,
      0.03945634464981531,
      0.03877137489763852,
      0.0380969532022641,
      0.03743291692438376,
      0.03677910595341712,
      0.0361353626593094,
      0.0355015317773088,
      0.03487746063310965,
      0.03426299872505112,
      0.033657997980344155,
      0.03306231260976979,
      0.032475799085938215,
      0.031898316053645626,
      0.03132972437613575,
      0.030769886986313676,
      0.030218669031991587,
      0.029675937635494958,
      0.02914156214436575,
      0.028615413779578557,
      0.028097365737031157,
      0.027587293264284787,
      0.027085073510082106,
      0.02659058552110454,
      0.02610371017612774,
      0.025624330203661633,
      0.02515233016240172,
      0.02468759644105515,
      0.02423001707478273,
      0.0237794819052047,
      0.023335882327333655,
      0.02289911155800059,
      0.022469064446911567,
      0.022045637402157186,
      0.021628728589165647,
      0.021218237601854765,
      0.02081406557203546,
      0.020416115195777896,
      0.020024290702329653,
      0.01963849772699284,
      0.019258643361438565,
      0.018884636177771065,
      0.01851638614393584,
      0.018153804620768734,
      0.01779680430752949,
      0.017445299338686587,
      0.01709920506827956,
      0.01675843812618209,
      0.016422916555992262,
      0.01609255948715073,
      0.015767287428884946,
      0.01544702223841385,
      0.01513168677017599,
      0.01482120508867647,
      0.014515502406033692,
      0.014214505145126424,
      0.013918141000983843,
      0.01362633852361155,
      0.013339027505819822,
      0.013056138898894188,
      0.012777604624262263,
      0.012503357618360708,
      0.012233331747709244,
      0.011967462122178576,
      0.011705684776626656,
      0.011447936706540589,
      0.011194155875160735,
      0.010944281199259918,
      0.010698252595876713,
      0.010456010911726618,
      0.010217497755113717,
      0.00998265575009123,
      0.0097514284004561,
      0.009523760059071483,
      0.00929959590025777,
      0.009078881971866662,
      0.008861565174528341,
      0.008647593275932267,
      0.008436914763049254,
      0.008229478958157578,
      0.008025235991655662,
      0.00782413669566184,
      0.0076261325698081285,
      0.007431175991843362,
      0.007239220075240275,
      0.007050218580746061,
      0.006864126065544289,
      0.006680897762225,
      0.0065004896320465825,
      0.006322858281350176,
      0.006147960931071827,
      0.005975755496992142,
      0.005806200545316314,
      0.0056392552383359934,
      0.005474879485932479,
      0.005313033679652275,
      0.0051536789449298515,
      0.004996776860843308,
      0.004842289844048133,
      0.004690180619274975,
      0.004540412569259556,
      0.0043929496421198306,
      0.004247756317723811,
      0.004104797722844999,
      0.003964039500583794,
      0.003825447643729408,
      0.0036889889019573957,
      0.0035546303841779035,
      0.003422339849277216,
      0.0032920854330154236,
      0.003163835892497069,
      0.0030375602729714687,
      0.0029132281810132442,
      0.002790809703413046,
      0.0026702753914348634,
      0.002551596221470588,
      0.002434743748475636,
      0.0023196897842531917,
      0.002206406668475247,
      0.0020948671219917,
      0.001985044286086944,
      0.0018769117568597207,
      0.0017704435133897784,
      0.0016656139748154515,
      0.001562397867812396,
      0.0014607703947417724,
      0.001360707085359677,
      0.001262183878965502,
      0.0011651770806117836,
      0.0010696633319788747,
      0.0009756195701996022,
      0.0008830233066893782,
      0.0007918522331584157,
      0.0007020844841486902,
      0.0006136983919752195,
      0.0005266725990080994,
      0.0004409861772939735,
      0.00035661861020998465,
      0.00027354955257585047,
      0.00019175899902604222,
      0.0001112272499530452,
      3.193498694163197e-05,
      -4.613680319016865e-05,
      -0.00012300692203430323,
      -0.0001986939508321145,
      -0.00027321603062478717,
      -0.0003465911690350394,
      -0.0004188369736550692,
      -0.0004899708867195885,
      -0.0005600099161707057,
      -0.0006289709445479604,
      -0.0006968706423187108,
      -0.0007637252916039617,
      -0.0008295509265479459,
      -0.0008943634408523334,
      -0.0009581783574241422,
      -0.0010210110164013653,
      -0.0010828766039147671,
      -0.0011437900079640793,
      -0.0012037659150709416,
      -0.0012628187152356192,
      -0.0013209626094569935,
      -0.0013782115760830576,
      -0.0014345794325556613,
      -0.0014900796220117317,
      -0.001544725533558724,
      -0.001598530389254701,
      -0.0016515071624319437,
      -0.0017036686162029387,
      -0.001755027251434759,
      -0.0018055954068332443,
      -0.0018553853328614608,
      -0.0019044089599551811,
      -0.001952678066314518,
      -0.002000204202990865,
      -0.0020469988095450985,
      -0.0020930731059890556,
      -0.002138438277040961,
      -0.0021831052295772004,
      -0.002227084750158704,
      -0.0022703873818121795,
      -0.0023130235163169683,
      -0.0023550034542255105,
      -0.0023963372608007405,
      -0.002437034900805528,
      -0.0024771061505295872,
      -0.0025165605535128225,
      -0.002555407680568136,
      -0.002593656893771988,
      -0.002631317466038033
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335155009605371,
      10.095054821008546,
      9.849361836974195,
      9.600715959351746,
      9.351431750982462,
      9.103520296724525,
      8.858659680703369,
      8.618180738640561,
      8.383067494300056,
      8.153972936758725,
      7.931248774037615,
      7.714985785888603,
      7.505060533434167,
      7.301184234742803,
      7.102952457130975,
      6.9098886786913045,
      6.721480391643689,
      6.537211466579962,
      6.356586738872197,
      6.179150035443652,
      6.004495637014648,
      5.832267916288789,
      5.662182006643805,
      5.494034590947477,
      5.327698609466357,
      5.163125346061413,
      5.000343776886137,
      4.839448495774488,
      4.680602957704017,
      4.5240494332989725,
      4.370114068144517,
      4.219157129742906,
      4.071561922972743,
      3.9277214947481713,
      3.788027417002253,
      3.6528509615068026,
      3.522525303541882,
      3.397337013565106,
      3.277519886201836,
      3.163251207517218,
      3.054650392610684,
      2.9517682268841,
      2.8545828918179432,
      2.7629954912947756,
      2.6768468516527775,
      2.595932313255799,
      2.520013811198637,
      2.448837635219818,
      2.3821480020052137,
      2.319673840859371,
      2.261112537964833,
      2.206123928812575,
      2.1543317941628874,
      2.1053769855833466,
      2.058920115065085,
      2.014651896064008,
      1.9723028760943833,
      1.9316495688117394,
      1.8925061200377098,
      1.8547254169257883,
      1.8181876030910367,
      1.7827894416086512,
      1.748440568696999,
      1.7150672704370316,
      1.6826086519118277,
      1.6510132079643485,
      1.6202364157780706,
      1.5902390392338819,
      1.5609859260815961,
      1.5324451520681548,
      1.5045874038067335,
      1.4773834749504908,
      1.4508049970266397,
      1.4248269361781545,
      1.399426973080621,
      1.3745848768859188,
      1.3502823853699484,
      1.326501984419399,
      1.3032275649707359,
      1.280445332656444,
      1.2581415920687877,
      1.2363031338919088,
      1.2149190268434844,
      1.1939782762746074,
      1.1734693469737896,
      1.153380525691218,
      1.1337004153023806,
      1.1144187820989369,
      1.0955256696962326,
      1.077011530349,
      1.0588667655857795,
      1.041081755833455,
      1.0236469956590557,
      1.0065531774658212,
      0.9897912400933703,
      0.9733523962313007,
      0.9572281446801136,
      0.941410273208874,
      0.9258908559502129,
      0.9106622474218589,
      0.89571707341322,
      0.8810482216564923,
      0.8666488317279333,
      0.8525122841736753,
      0.8386321906742283,
      0.8250023842031138,
      0.811616908840861,
      0.79847001062398,
      0.7855561285645888,
      0.7728698862913634,
      0.7604060842493013,
      0.7481596913970741,
      0.7361258382840455,
      0.7242998099784039,
      0.7126770398556659,
      0.7012531028616666,
      0.6900237098609888,
      0.6789847018303623,
      0.6681320448132486,
      0.6574618244141337,
      0.6469702414044867,
      0.6366536141042157,
      0.6265083802909881,
      0.6165310213908821,
      0.6067181181470572,
      0.5970663598406866,
      0.5875725360236245,
      0.5782338259150348,
      0.5690477004099707,
      0.5600115385816647,
      0.5511226689810574,
      0.5423784118310464,
      0.53377610534623,
      0.5253131225725031,
      0.5169868809882429,
      0.5087948486382434,
      0.5007345466657103,
      0.4928035507167368,
      0.4849994912184714,
      0.4773200527062065,
      0.4697629730055814,
      0.46232604205758354,
      0.4550071006802868,
      0.44780403874671726,
      0.44071479408619213,
      0.43373779508529214,
      0.4268719081807553,
      0.42011576480487195,
      0.4134678094154105,
      0.40692638035536,
      0.400489761742478,
      0.3941562167038016,
      0.3879240077798137,
      0.3817914103803979,
      0.3757567210027457,
      0.36981846802988605,
      0.3639753261104941,
      0.3582258763332833,
      0.3525686462178995,
      0.34700214035175897,
      0.34152485933547977,
      0.3361353121499457,
      0.3308320236750918,
      0.3256133962262059,
      0.32047777402177485,
      0.3154236255628963,
      0.31044947606514334,
      0.3055537008866446,
      0.30073466314244757,
      0.29599088132540236,
      0.29132099762423547,
      0.28672372439572547,
      0.28219782323808573,
      0.27774209528365423,
      0.27335537485983064,
      0.2690365252396325,
      0.2647844350822701,
      0.26059801682640277,
      0.25647620481969213,
      0.2524179540198163,
      0.24842246509586446,
      0.24448921050966282,
      0.24061754098175286,
      0.236806692320423,
      0.2330558304762464,
      0.22936408091018684,
      0.22573054787040525,
      0.22215432751900052,
      0.2186345161300975,
      0.2151702153517695,
      0.211760535519155,
      0.208404598166042,
      0.2051015372238125,
      0.20185043520481277,
      0.1986503376070001,
      0.19550034195193933,
      0.19239958983405922,
      0.18934725652995574,
      0.18634254386675986,
      0.18338467561182636,
      0.18047289419673432,
      0.17760645854800095,
      0.17478464255927517,
      0.1720067340156518,
      0.1692720337253784,
      0.1665798548813414,
      0.1639295226896431,
      0.16132037394624582,
      0.15875175664974914,
      0.15622302980860034,
      0.15373356320110468,
      0.1512827370115129,
      0.14886994183110916,
      0.14649457829367712,
      0.1441560569164955,
      0.1418537978675571,
      0.13958723082949995,
      0.13735579490407474,
      0.1351589382951424,
      0.13299611824773186,
      0.13086680075898632,
      0.12877046056957003,
      0.12670658091435832,
      0.12467465352770289,
      0.12267417828032495,
      0.12070466302596178,
      0.11876562362506302,
      0.11685658384107624,
      0.11497707499455047,
      0.11312663591468747,
      0.11130481293408227,
      0.1095111596401028,
      0.10774523668831036,
      0.10600661176626945,
      0.10429485948453737,
      0.10260956125886374,
      0.10095030515769965,
      0.09931668578482288,
      0.09770830422813613,
      0.09612476791602263,
      0.09456569050774027,
      0.09303069170321784,
      0.09151939740466424,
      0.0900314393199749,
      0.08856645493011915,
      0.08712408752102678,
      0.08570398604454686,
      0.08430580501855432,
      0.08292920421417285,
      0.08157384880377809,
      0.08023940938147646,
      0.07892556165623625,
      0.07763198642726202,
      0.07635836948826465,
      0.07510440160699726,
      0.0738697783763426,
      0.0726542002288519,
      0.07145737210944705,
      0.07027900377827272,
      0.0691188095396356,
      0.0679765080474634,
      0.06685182240363484,
      0.06574448001474982,
      0.064654212607845,
      0.06358075614762007,
      0.0625238506385805,
      0.061483240110770006,
      0.06045867254399348,
      0.059449899937068465,
      0.05845667818839442,
      0.05747876702586135,
      0.05651592990357652,
      0.055567933791446325,
      0.0546345493881697,
      0.05371555099184408,
      0.05281071637783751,
      0.05191982684557454,
      0.05104266695073984,
      0.05017902481932688,
      0.049328691619310756,
      0.048491461855043876,
      0.0476671332509667,
      0.046855506714383856,
      0.046056386243722616,
      0.0452695787210689,
      0.04449489403361594,
      0.0437321452513094,
      0.04298114818005237,
      0.042241721536637654,
      0.04151368674913567,
      0.04079686813739063,
      0.04009109267121213,
      0.03939618999373256,
      0.03871199246097071,
      0.03803833495657451,
      0.03737505488804589,
      0.03672199216700044,
      0.036078989313789556,
      0.03544589117738901,
      0.03482254505576926,
      0.03420880056791482,
      0.0336045097161951,
      0.03300952664265934,
      0.03242370790611242,
      0.03184691232288485,
      0.031279000740178295,
      0.030719836173345415,
      0.030169283862588908,
      0.029627211045565382,
      0.029093486966657735,
      0.028567982976829987,
      0.028050572387015076,
      0.02754113046914169,
      0.027039534528494728,
      0.026545663646541637,
      0.026059398678966044,
      0.025580622317654702,
      0.025109219274486342,
      0.024645075976460328,
      0.024188080585847822,
      0.023738122976174125,
      0.02329509471480005,
      0.022858889020098506,
      0.022429400769831635,
      0.02200652642045127,
      0.021590164161628428,
      0.021180213600039074,
      0.02077657597099614,
      0.020379153980468526,
      0.019987851920428616,
      0.019602575471931716,
      0.019223231857406688,
      0.01884972976352524,
      0.01848197923152756,
      0.01811989150830922,
      0.017763379481321576,
      0.017412357260700412,
      0.017066740275355007,
      0.016726445304153428,
      0.016391390423225648,
      0.016061494837708044,
      0.015736679080315435,
      0.015416864973240563,
      0.015101975340848095,
      0.014791934336879892,
      0.01448666739529029,
      0.014186100931495643,
      0.013890162670901554,
      0.013598781168280628,
      0.01331188640562795,
      0.013029409192972954,
      0.01275128148887182,
      0.012477436279661622,
      0.012207807698485177,
      0.011942330766919263,
      0.011680941604526623,
      0.011423577280061001,
      0.0111701757808848,
      0.010920676063864739,
      0.010675018030000318,
      0.010433142574821992,
      0.010194991446438756,
      0.009960507201391335,
      0.009729633367508803,
      0.009502314349400992,
      0.009278495426703679,
      0.009058122736575169,
      0.00884114323418453,
      0.008627504611780116,
      0.008417155449576325,
      0.008210045122328466,
      0.00800612370861458,
      0.007805342106807178,
      0.007607651975951124,
      0.007413005755999208,
      0.0072213565256484405,
      0.007032658180832296,
      0.0068468652219376355,
      0.006663932944426251,
      0.0064838173012358264,
      0.006306474908250028,
      0.006131863026567639,
      0.005959939713080598,
      0.005790663541041408,
      0.005623993793905342,
      0.0054598903372899,
      0.00529831355681571,
      0.0051392245335188024,
      0.004982585005505566,
      0.004828357313215008,
      0.004676504283414863,
      0.004526989325135369,
      0.004379776451247202,
      0.004234830181767075,
      0.0040921156528751015,
      0.003951598505305017,
      0.0038132448704301606,
      0.0036770214789830034,
      0.0035428955559637467,
      0.003410834787428004,
      0.00328080731446846,
      0.003152781849863206,
      0.003026727561696105,
      0.002902614123946153,
      0.0027804116420275236,
      0.002660090732776551,
      0.002541622440754637,
      0.0024249782263941863,
      0.002310129911279547,
      0.00219704994908984,
      0.002085711094957627,
      0.0019760863556529625,
      0.0018681494880016438,
      0.0017618745776755158,
      0.0016572359630909624,
      0.0015542084589959663,
      0.0014527671876037559,
      0.001352887824505796,
      0.0012545463441654384,
      0.0011577189826965887,
      0.001062382507229375,
      0.000968513908537461,
      0.0008760905267815637,
      0.0007850901537022371,
      0.0006954909769652589,
      0.0006072713036950904,
      0.0005204100225028351,
      0.0004348861897773432,
      0.0003506792019856698,
      0.00026776877191783503,
      0.00018613487447137104,
      0.00010575786534422363,
      2.6618365668408498e-05,
      -5.130261675472572e-05,
      -0.00012802381942446015,
      -0.0002035638051463903,
      -0.0002779406974704667,
      -0.0003511724173848594,
      -0.000423276620159632,
      -0.0004942706499341093,
      -0.0005641716080980133,
      -0.0006329963249218058,
      -0.0007007613172763666,
      -0.0007674829237928026,
      -0.000833177184235725,
      -0.0008978599725908158,
      -0.0009615468304340813,
      -0.0010242531232686595,
      -0.001085993954504348,
      -0.0011467841931051958,
      -0.0012066384237254702,
      -0.0012655710293377406,
      -0.0013235961969646172,
      -0.0013807279732627523,
      -0.001436980148015242,
      -0.0014923662446031832,
      -0.0015468996113272699,
      -0.0016005933019302336,
      -0.0016534601714933224,
      -0.0017055130858440023,
      -0.0017567645776647555,
      -0.0018072268959352842,
      -0.0018569122382468713,
      -0.0019058326523142563,
      -0.0019539997718537663,
      -0.002001425326516237,
      -0.002048120736172111,
      -0.002094097194034869,
      -0.0021393657359895747,
      -0.002183937264911451,
      -0.002227822587094881,
      -0.002271032244667716,
      -0.0023135766079452947,
      -0.0023554659352064623,
      -0.0023967102795378484,
      -0.0024373194516124626,
      -0.0024773033894037403,
      -0.0025166717643074904,
      -0.0025554339429091927,
      -0.0025935992846235693,
      -0.0026311770256518064
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335151517983483,
      10.095042146685156,
      9.849334087741768,
      9.600668907742163,
      9.351362464464653,
      9.103426873733167,
      8.858541010160401,
      8.618036289287138,
      8.382897132160855,
      8.153776779377006,
      7.931027068592666,
      7.714738826712528,
      7.504788605288355,
      7.300887627134804,
      7.1026314951080325,
      6.909543641418803,
      6.721111535053164,
      6.536819061249358,
      6.356171159987487,
      6.178711764492958,
      6.004035381055431,
      5.83178661167911,
      5.6616807726109935,
      5.493514788503829,
      5.327161832611316,
      5.162573425239376,
      4.9997786539967075,
      4.838872408414207,
      4.680018437770863,
      4.5234596813865595,
      4.36952265477428,
      4.218567606769909,
      4.070977794822328,
      3.927146227113625,
      3.7874644352528803,
      3.6523034026558436,
      3.521995965100193,
      3.396828313857265,
      3.277033837183166,
      3.162789400875341,
      3.054213998910555,
      2.9513578689389135,
      2.854198615487456,
      2.7626367183993175,
      2.6765124005332024,
      2.595620471493426,
      2.5197227084827367,
      2.448565375267077,
      2.381892516788515,
      2.3194329077851776,
      2.260883962232534,
      2.2059051033862644,
      2.1541202037842817,
      2.1051703869643807,
      2.0587164530096045,
      2.0144492568747223,
      1.9720997839270242,
      1.9314449245075014,
      1.892299129515668,
      1.8545155160751763,
      1.817974394549,
      1.782572614616478,
      1.7482199092574224,
      1.7148426560195034,
      1.6823800244772171,
      1.6507805549254448,
      1.6199997564457052,
      1.5899984148421524,
      1.560741393153778,
      1.5321967767924778,
      1.5043352589522152,
      1.4771276679097438,
      1.4505456397787686,
      1.424564151775902,
      1.399160865622865,
      1.3743155469534298,
      1.3500099317704906,
      1.3262264974796303,
      1.3029492760251138,
      1.2801644815998545,
      1.257858361177469,
      1.236017795478104,
      1.2146319405393355,
      1.1936896960583436,
      1.1731794568613514,
      1.1530894626007513,
      1.1334082959984226,
      1.1141257171097343,
      1.0952317569837233,
      1.0767168529923616,
      1.0585713926535933,
      1.0407857467948853,
      1.023350403353749,
      1.0062560500934337,
      0.9894936227330442,
      0.9730543318421666,
      0.9569296743295947,
      0.9411114365971743,
      0.9255916920784294,
      0.9103627943875503,
      0.8954173690633026,
      0.8807483030623879,
      0.8663487350089492,
      0.8522120451767451,
      0.8383318449333196,
      0.8247019664848233,
      0.8113164533934727,
      0.7981695514695581,
      0.7852556991729707,
      0.7725695195768938,
      0.760105812203268,
      0.7478595458558319,
      0.7358258506215059,
      0.7240000111980486,
      0.7123774601148313,
      0.7009537719290087,
      0.6897246570572002,
      0.6786859560884385,
      0.6678336342991068,
      0.6571637769529728,
      0.6466725839076837,
      0.6363563814253625,
      0.6262116095508468,
      0.6162347445223112,
      0.6064223639083581,
      0.5967711550495198,
      0.5872779342962321,
      0.5779399589846682,
      0.568754676322646,
      0.5597194326593669,
      0.5508315351911447,
      0.5420882898330689,
      0.5334870257067214,
      0.5250251096297701,
      0.5166999550301222,
      0.5085090268652694,
      0.5004498443674996,
      0.49251998182622775,
      0.48471706865320985,
      0.4770387886246209,
      0.46948287895416085,
      0.4620471290604402,
      0.45472937901674676,
      0.4475275184088611,
      0.440439484645875,
      0.4334637962052121,
      0.4265993228699383,
      0.4198446598101775,
      0.41319822799973077,
      0.4066583504866205,
      0.4002233015029537,
      0.3938913374473064,
      0.3876607169304627,
      0.38152971268715075,
      0.3754966255024423,
      0.3695600049280235,
      0.3637185194290778,
      0.3579707401804461,
      0.3523151883281342,
      0.34675036425117917,
      0.34127476591641276,
      0.3358869005333241,
      0.3305852915923101,
      0.3253684320722132,
      0.3202346799190231,
      0.315182464590082,
      0.3102102866973124,
      0.3053165065836849,
      0.30049947639571706,
      0.29575770894700426,
      0.2910898415984267,
      0.28649458300325087,
      0.28197069201120223,
      0.2775169681271334,
      0.2731322444765166,
      0.26881538347326195,
      0.26456527329309854,
      0.2603808260343148,
      0.2562609756912416,
      0.25220467710695965,
      0.24821114773697128,
      0.24427986096964313,
      0.24041016070359927,
      0.23660127834840128,
      0.23285237676685644,
      0.2291625793374068,
      0.22553098908168998,
      0.2219567012383186,
      0.21843881132885767,
      0.21497642054293997,
      0.21156863894643704,
      0.20821458790191713,
      0.20491340120229307,
      0.2016641570540183,
      0.19846590073422926,
      0.19531773124586088,
      0.19221879129953237,
      0.18916825677277826,
      0.1861653300639187,
      0.18320923520261403,
      0.1802992147779229,
      0.17743452788315903,
      0.17461444853706715,
      0.17183826446158942,
      0.16910527645419687,
      0.166414797831668,
      0.16376615368922062,
      0.16115868087703364,
      0.1585917274914707,
      0.15606465245336623,
      0.15357682557876295,
      0.15112762718910983,
      0.14871644774981171,
      0.1463426878608673,
      0.1440057580209672,
      0.1417050785022007,
      0.13944007901072725,
      0.1372101985649923,
      0.13501488542001736,
      0.13285359682177694,
      0.13072579889565789,
      0.12863096635836255,
      0.12656858257967843,
      0.12453813919356496,
      0.12253913603984229,
      0.12057108106742875,
      0.11863349020555868,
      0.11672588719645836,
      0.11484780336343121,
      0.11299877764505267,
      0.11117835629718074,
      0.1093860928858694,
      0.10762154818940033,
      0.10588428998403565,
      0.10417389288441158,
      0.10248993834635751,
      0.10083201448275139,
      0.0991997159649792,
      0.0975926439463661,
      0.09601040581694209,
      0.0944526152588975,
      0.0929188920754566,
      0.0914088621488245,
      0.08992215722189482,
      0.08845841493546493,
      0.08701727862512779,
      0.0855983971600905,
      0.08420142504641112,
      0.08282602230498029,
      0.08147185425757407,
      0.08013859141434633,
      0.07882590948788802,
      0.0775334894000491,
      0.07626101700860094,
      0.07500818308711217,
      0.07377468330604449,
      0.07256021810774095,
      0.07136449263991713,
      0.07018721664253334,
      0.06902810440227021,
      0.06788687473285457,
      0.06676325081009946,
      0.06565696012419868,
      0.06456773441933372,
      0.06349530963000803,
      0.062439425835690635,
      0.06139982719590422,
      0.06037626176043121,
      0.05936848164360661,
      0.05837624276854079,
      0.05739930489278436,
      0.056437431463465526,
      0.055490389600925484,
      0.054557950073541014,
      0.05363988720074438,
      0.05273597882928051,
      0.05184600637063715,
      0.050969754505187044,
      0.05010701122626932,
      0.04925756791879979,
      0.04842121908820244,
      0.04759776255918823,
      0.046786999356242434,
      0.04598873345633211,
      0.04520277187069791,
      0.044428924595132896,
      0.04366700462255537,
      0.042916827817335815,
      0.04217821298197007,
      0.0414509817090559,
      0.04073495835203162,
      0.04002996994604546,
      0.03933584619337556,
      0.03865241942351583,
      0.037979524611445714,
      0.03731699926282705,
      0.03666468347420286,
      0.03602241977436176,
      0.03539005301268757,
      0.034767430543352795,
      0.03415440210054468,
      0.033550819718124916,
      0.032956537654675946,
      0.03237141249303883,
      0.03179530305085254,
      0.03122807032587509,
      0.030669577360319483,
      0.03011968945014848,
      0.029578273854280072,
      0.029045199880446154,
      0.02852033903598942,
      0.028003564684721875,
      0.02749475217564241,
      0.026993778762552607,
      0.026500523486703866,
      0.026014867454759658,
      0.025536693519806173,
      0.025065886459448926,
      0.0246023327223593,
      0.02414592036558047,
      0.023696539303662768,
      0.02325408120866964,
      0.022818439340511802,
      0.022389508752834873,
      0.021967185939235957,
      0.02155136904858044,
      0.0211419578883678,
      0.0207388536468822,
      0.020341959220564632,
      0.01995117887815116,
      0.0195664184453706,
      0.01918758508257719,
      0.018814587398270154,
      0.018447335497857268,
      0.018085740956221768,
      0.017729716572958,
      0.01737917650140418,
      0.017034036217541963,
      0.016694212545122596,
      0.016359623539534265,
      0.016030188497334265,
      0.01570582807264646,
      0.01538646401067211,
      0.015072019407039935,
      0.014762418463497165,
      0.01445758645166599,
      0.01415744999257407,
      0.013861936788024649,
      0.013570975553347046,
      0.013284496183340246,
      0.013002429566232914,
      0.012724707713563299,
      0.012451263684298863,
      0.01218203165310949,
      0.011916946741283543,
      0.011655944972092866,
      0.011398963554493866,
      0.01114594045193133,
      0.010896814807445103,
      0.010651526513620333,
      0.010410016479620919,
      0.010172226520225664,
      0.00993809924207271,
      0.00970757825100048,
      0.009480608007111863,
      0.009257133785106198,
      0.009037101733057926,
      0.008820458813827727,
      0.008607152844915715,
      0.008397132376488023,
      0.00819034687132369,
      0.007986746538082965,
      0.0077862823078254555,
      0.007588905781402718,
      0.007394569421215678,
      0.007203226351845353,
      0.007014830577029846,
      0.006829336506264884,
      0.006646699628776894,
      0.0064668758422312825,
      0.006289821845883607,
      0.006115495021562566,
      0.005943853381111007,
      0.0057748554139827185,
      0.005608460509874288,
      0.0054446285191620284,
      0.005283319945426642,
      0.005124495955760421,
      0.004968118190057561,
      0.004814149081349952,
      0.004662551472786112,
      0.004513288853761332,
      0.004366325235435136,
      0.00422162522588069,
      0.004079154126436573,
      0.003938877483967462,
      0.0038007614961565804,
      0.0036647729488550646,
      0.0035308789649415437,
      0.0033990473649523336,
      0.00326924633726042,
      0.003141444599518136,
      0.003015611313856818,
      0.0028917161822487663,
      0.002769729333964267,
      0.0026496214118269033,
      0.0025313634568313315,
      0.0024149269473208515,
      0.0023002838460388013,
      0.0021874064963221416,
      0.0020762678189472565,
      0.0019668409768616667,
      0.001859099543238117,
      0.0017530175123338513,
      0.001648569356400959,
      0.0015457300145466414,
      0.0014444746670637747,
      0.001344778968827052,
      0.001246618921932609,
      0.0011499708260337405,
      0.0010548113314466031,
      0.000961117564067252,
      0.0008688669716388521,
      0.0007780372100031548,
      0.0006886064241872702,
      0.0006005531625667515,
      0.0005138560574137867,
      0.00042849428179335717,
      0.0003444473149523972,
      0.0002616949063153778,
      0.00018021707868716913,
      9.999423432048819e-05,
      2.1007014369612634e-05,
      -5.676351620284792e-05,
      -0.00013333614674932787,
      -0.00020872933372053997,
      -0.0002829612669109349,
      -0.0003560497624865342,
      -0.00042801257505118844,
      -0.0004988670152116362,
      -0.000568630259688844,
      -0.0006373189988471226,
      -0.0007049496992317671,
      -0.0007715386746929039,
      -0.0008371020359471398,
      -0.0009016555947185946,
      -0.0009652148749455115,
      -0.001027795173805085,
      -0.0010894116026478806,
      -0.0011500789427760774,
      -0.0012098118433966172,
      -0.0012686246754751306,
      -0.0013265315820482479,
      -0.001383546597223611,
      -0.0014396834021605798,
      -0.0014949555889305272,
      -0.0015493764338463936,
      -0.001602959038714792,
      -0.0016557163123199431,
      -0.0017076609955299768,
      -0.0017588056033066611,
      -0.001809162422851398,
      -0.0018587437019267489,
      -0.001907561321485836,
      -0.0019556270332766043,
      -0.0020029523977693276,
      -0.0020495487659672068,
      -0.002095427349379329,
      -0.0021405992258324335,
      -0.002185075402134375,
      -0.0022288665773476236,
      -0.0022719833375179433,
      -0.002314435891746441,
      -0.00235623453235443,
      -0.002397389331503621,
      -0.0024379103401027265,
      -0.0024778072134961104,
      -0.002517089592942783,
      -0.0025557669208894802,
      -0.0025938485862723494,
      -0.002631343719318461
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335148027988737,
      10.095029479272421,
      9.849306353275557,
      9.600621880737027,
      9.35129321371496,
      9.103333497576767,
      8.858422396468644,
      8.617891905083837,
      8.382726846108403,
      8.153580709482911,
      7.930805464843701,
      7.714491983881387,
      7.504516807990534,
      7.300591179533264,
      7.102310734890731,
      6.909198843243315,
      6.720742953686381,
      6.536426964994961,
      6.355755920499587,
      6.178273863775152,
      6.003575526974936,
      5.8313057400976325,
      5.661180004373782,
      5.492995484387437,
      5.326625586449487,
      5.162022066693841,
      4.999214124248892,
      4.838296943556668,
      4.679434567936457,
      4.522870685009991,
      4.368932089012774,
      4.217979010317854,
      4.070394660387787,
      3.926572008141958,
      3.786902543935636,
      3.6517569632732068,
      3.5214677635725344,
      3.3963207573591117,
      3.276548927492145,
      3.162328720909542,
      3.0537787116880875,
      2.950948590651993,
      2.853815387005068,
      2.7622789590669443,
      2.6761789266953575,
      2.5953095701097726,
      2.51943250934991,
      2.4482939819515592,
      2.381637861410715,
      2.319192769066177,
      2.2606561474815123,
      2.205687008002128,
      2.153909315787508,
      2.104964466093069,
      2.058513446611731,
      2.01424725051385,
      1.9718973021236397,
      1.9312408680353514,
      1.8920927046733713,
      1.8543061598233874,
      1.8177617111000313,
      1.782356294365304,
      1.7479997395409725,
      1.714618515661684,
      1.6821518565016704,
      1.6505483474084786,
      1.6197635295165889,
      1.5897582102458803,
      1.560497267154906,
      1.5319487953607314,
      1.5040834948778639,
      1.476872228995296,
      1.450286638442384,
      1.424301711433746,
      1.3988950954403145,
      1.3740465460899005,
      1.3497377981929024,
      1.3259513215563723,
      1.3026712894535446,
      1.2798839246521045,
      1.257575415655261,
      1.2357328075633884,
      1.2143452435550526,
      1.1934015269180134,
      1.1728899882230115,
      1.1527988243433982,
      1.1331165997653907,
      1.113833070624776,
      1.094938256392362,
      1.0764225803381449,
      1.0582764162886023,
      1.0404901254319614,
      1.0230541892369507,
      1.005959291035445,
      0.9891963639378297,
      0.9727566162934166,
      0.9566315432720469,
      0.9408129304159215,
      0.9252928500514445,
      0.9100636549391073,
      0.8951179694998599,
      0.880448680521421,
      0.8660489262810271,
      0.851912086469771,
      0.8380317717306364,
      0.8244018138017772,
      0.811016255873753,
      0.7978693429648726,
      0.7849555130264466,
      0.7722693886191462,
      0.7598057689685759,
      0.747559622078952,
      0.7355260777182314,
      0.7237004199999572,
      0.7120780811564358,
      0.7006546350907239,
      0.6894257916843621,
      0.6783873909749784,
      0.6675353977140472,
      0.656865896405132,
      0.6463750869199136,
      0.6360593054860582,
      0.6259149907461635,
      0.6159386138955927,
      0.6061267501564939,
      0.5964760851206997,
      0.5869834833130841,
      0.5776462688039911,
      0.5684618439139321,
      0.559427526114957,
      0.5505406038761343,
      0.5417983706538234,
      0.5331981474011018,
      0.5247372952694326,
      0.5164132240662084,
      0.5082233964446252,
      0.5001653296182542,
      0.49223659648776136,
      0.4844348255945389,
      0.47675769999863793,
      0.4692029562934867,
      0.46176838326461006,
      0.45445182056201955,
      0.44725115734837434,
      0.4401643594175235,
      0.43319001910985927,
      0.4263269813535426,
      0.41957381063535537,
      0.41292890787708864,
      0.4063905832231135,
      0.3999571024802439,
      0.3936267166928358,
      0.38739768058833285,
      0.3812682645476547,
      0.3752367813875061,
      0.3693017978480524,
      0.3634619692877365,
      0.3577158586278244,
      0.3520619817195231,
      0.3464988349927044,
      0.3410249141500692,
      0.33563872498337777,
      0.33033878995867705,
      0.32512365435403107,
      0.3199917424419339,
      0.31494143952900205,
      0.30997121862392774,
      0.30507942275139766,
      0.3002643916272635,
      0.29552463150466185,
      0.29085877449852787,
      0.2862655249914082,
      0.2817436391553743,
      0.2772919145074231,
      0.27290918305700573,
      0.26859430626735215,
      0.2643461718671195,
      0.2601636914094125,
      0.2560457986612889,
      0.2519914481975462,
      0.24799987441178128,
      0.2440705515416588,
      0.24020281677804323,
      0.23639589690257504,
      0.23264895167714508,
      0.22896110238414524,
      0.22533145084305398,
      0.22175909132919774,
      0.21824311877514055,
      0.2147826338718551,
      0.2113767465669319,
      0.20802457802490176,
      0.20472526189915677,
      0.2014778720392393,
      0.1982814533741623,
      0.1951351065661765,
      0.19203797535292355,
      0.18898923635349568,
      0.18598809227095678,
      0.18303376747444502,
      0.1801255047873817,
      0.17726256334353982,
      0.1744442172492047,
      0.1716697543543504,
      0.16893847540829798,
      0.1662496937123162,
      0.16360273449945706,
      0.16099693455431618,
      0.1584316419580278,
      0.1559062156659214,
      0.15342002547589864,
      0.1509724517014693,
      0.14856288493106182,
      0.14619072570669092,
      0.14385538447189938,
      0.14155628154751498,
      0.13929284657555485,
      0.13706451860071533,
      0.13487074602602483,
      0.13271098616350202,
      0.13058470506587236,
      0.1284913774345649,
      0.12643048656034986,
      0.12440152414371143,
      0.12240399016008971,
      0.1204373925278693,
      0.11850124725930229,
      0.11659507800040833,
      0.11471841615476196,
      0.11287080068864178,
      0.11105177798563404,
      0.10926090162356213,
      0.10749773237798138,
      0.10576183804577734,
      0.10405279330467765,
      0.10237017964620558,
      0.10071358524222469,
      0.09908260481463232,
      0.0974768394252554,
      0.09589589667539777,
      0.09433939030383894,
      0.09280694011756485,
      0.09129817202599032,
      0.08981271785440068,
      0.08835021520320473,
      0.08691030741629234,
      0.08549264347060283,
      0.0840968780733942,
      0.08272267122271834,
      0.08136968821600295,
      0.08003759970267273,
      0.07872608149813776,
      0.07743481435897397,
      0.07616348428787562,
      0.07491178216337982,
      0.07367940369341726,
      0.07246604935678785,
      0.07127142440042276,
      0.07009523871064186,
      0.06893720653589219,
      0.0677970466737286,
      0.06667448240093928,
      0.06556924126402548,
      0.06448105509552636,
      0.0634096599089184,
      0.062354795879187894,
      0.061316207243150345,
      0.06029364214166647,
      0.05928685263222553,
      0.05829559467453494,
      0.057319628124372454,
      0.056358716487388584,
      0.055412626947307045,
      0.05448113030941007,
      0.05356400107523935,
      0.05266101720945885,
      0.051771960022165345,
      0.050896614200050316,
      0.05003476795208166,
      0.049186212799865396,
      0.048350743262331845,
      0.047528157181744586,
      0.04671825554700743,
      0.04592084241161949,
      0.04513572492801635,
      0.044362713222036596,
      0.04360162032951726,
      0.04285226223005227,
      0.04211445771672127,
      0.041388028473937556,
      0.04067279881938607,
      0.039968595882561915,
      0.0392752494534277,
      0.03859259200685191,
      0.03792045848579222,
      0.03725868645048428,
      0.03660711597973124,
      0.035965589690129376,
      0.035333952641059346,
      0.03471205219174537,
      0.03409973818512262,
      0.03349686267384889,
      0.032903280020528634,
      0.03231884689558387,
      0.0317434220866538,
      0.03117686655168099,
      0.03061904361378927,
      0.030069818554894615,
      0.029529058725567815,
      0.02899663365650616,
      0.028472414758659532,
      0.027956275425180612,
      0.027448091000843885,
      0.02694773882266257,
      0.026455098103010628,
      0.02597004991533384,
      0.025492477250598777,
      0.025022264820516713,
      0.024559299128170235,
      0.02410346846290504,
      0.023654662806780122,
      0.02321277374749693,
      0.02277769465855392,
      0.02234932053627586,
      0.02192754800233822,
      0.02151227528695212,
      0.021103402218666526,
      0.020700830105579535,
      0.02030446192773557,
      0.019914201925416705,
      0.01952995592381348,
      0.019151631224938844,
      0.018779136651772457,
      0.01841238227984459,
      0.018051279676913223,
      0.01769574162612796,
      0.01734568243336822,
      0.01700101761671971,
      0.01666166400804892,
      0.016327539745145045,
      0.015998564205406227,
      0.015674658014017604,
      0.0153557430956122,
      0.015041742508128198,
      0.014732580465470475,
      0.014428182422373571,
      0.014128475004510982,
      0.01383338584173819,
      0.013542843876007765,
      0.01325677886633789,
      0.012975121895975576,
      0.01269780505749311,
      0.012424761370935336,
      0.012155925023795745,
      0.011891231201879692,
      0.011630616076793648,
      0.011374016765551831,
      0.01112137142743543,
      0.010872619051676455,
      0.010627699621321684,
      0.010386554062195755,
      0.010149124226524624,
      0.009915352894049823,
      0.009685183744631664,
      0.009458561264582253,
      0.009235430706966455,
      0.009015738302968132,
      0.00879943100639892,
      0.00858645672452267,
      0.008376764107307538,
      0.008170302568626983,
      0.00796702237397734,
      0.007766874445220199,
      0.007569810581576741,
      0.007375783251441207,
      0.007184745603032318,
      0.00699665156048285,
      0.006811455795514337,
      0.006629113575072678,
      0.006449580973958579,
      0.006272814683214345,
      0.006098772088264917,
      0.005927411184306901,
      0.005758690697846155,
      0.005592569829175448,
      0.005429008582226227,
      0.005267967575639182,
      0.005109407926343622,
      0.004953291421535628,
      0.0047995803684052225,
      0.004648237783653601,
      0.0044992271526454455,
      0.004352512528052322,
      0.004208058509429109,
      0.004065830320743703,
      0.00392579362276345,
      0.0037879145882977186,
      0.0036521600429790953,
      0.003518497322180937,
      0.0033868941301465963,
      0.00325731871234225,
      0.003129739806971865,
      0.0030041266304370066,
      0.0028804489473804426,
      0.002758676964615961,
      0.0026387812842608538,
      0.0025207329982414174,
      0.0024045036574304487,
      0.002290065274563784,
      0.002177390207885264,
      0.0020664512818298476,
      0.001957221705617456,
      0.001849675120789606,
      0.0017437856313294218,
      0.001639527708462634,
      0.0015368762238853909,
      0.0014358065420855787,
      0.0013362941117908223,
      0.001238314929378658,
      0.0011418454765342106,
      0.001046862462580545,
      0.000953342911053932,
      0.0008612643430209116,
      0.0007706045361821735,
      0.0006813416985709034,
      0.0005934542682185681,
      0.000506921076837205,
      0.0004217211776427694,
      0.00033783405565894904,
      0.00025523945175279884,
      0.00017391744848279755,
      9.384846832607513e-05,
      1.5013222241896842e-05,
      -6.260735348765426e-05,
      -0.00013903200021268762,
      -0.00021427910221271285,
      -0.00028836674636121596,
      -0.00036131285677136157,
      -0.0004331349469255671,
      -0.0005038504176176774,
      -0.0005734763007164932,
      -0.0006420292751447175,
      -0.0007095259742008587,
      -0.000775982770873447,
      -0.0008414155367253886,
      -0.0009058400924809997,
      -0.0009692719836266327,
      -0.0010317265097186585,
      -0.0010932187080984646,
      -0.0011537634193860974,
      -0.0012133752630049724,
      -0.0012720686691294815,
      -0.0013298576998298877,
      -0.001386756276224624,
      -0.0014427780549638456,
      -0.0014979365963598474,
      -0.0015522452013304602,
      -0.0016057170080327173,
      -0.0016583648782656322,
      -0.001710201511453763,
      -0.001761239468967096,
      -0.0018114910647072005,
      -0.001860968419601122,
      -0.001909683356448331,
      -0.0019576477200004116,
      -0.002004873022560592,
      -0.002051370718550051,
      -0.002097151931058505,
      -0.0021422278263792363,
      -0.002186609199845726,
      -0.002230306753743895,
      -0.0022733309481730505,
      -0.0023156921379010945,
      -0.0023574005871961337,
      -0.0023984664468008022,
      -0.0024388995391437557,
      -0.0024787095815058616,
      -0.0025179062369021,
      -0.0025564989611024016,
      -0.002594497052512113,
      -0.002631909663281441
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335144542468614,
      10.095016827916561,
      9.849278652704424,
      9.600574910645728,
      9.35122404725913,
      9.103240235288228,
      8.858303926093225,
      8.61774769449281,
      8.38255676442941,
      8.153384876158592,
      7.93058412965137,
      7.7142454411728965,
      7.504245341167945,
      7.300295092782056,
      7.101990367547137,
      6.90885447309063,
      6.720374834925748,
      6.536035367043364,
      6.3553412171350105,
      6.177836537317622,
      6.003116285726277,
      5.830825520519935,
      5.660679926746649,
      5.492476890524747,
      5.326090071519897,
      5.161471461808189,
      4.998650375686671,
      4.837722293131576,
      4.678851545631688,
      4.5222825683429315,
      4.36834243327727,
      4.217391358561806,
      4.069812505468229,
      3.925998797897158,
      3.786341684910238,
      3.651211573599177,
      3.5209406222886925,
      3.3958142654436467,
      3.2760650799938613,
      3.161869094104182,
      3.0533444633687137,
      2.9505403311638303,
      2.853433152614236,
      2.761922166134886,
      2.6758463889802346,
      2.594999572163215,
      2.519143179269929,
      2.4480234233928337,
      2.381384007655048,
      2.3189534006255657,
      2.2604290740319324,
      2.205469628063439,
      2.1536991195884263,
      2.104759215558107,
      2.0583110719140114,
      2.014045829850318,
      1.9716953678082427,
      1.9310373289575005,
      1.8918867732554467,
      1.854097276807578,
      1.8175494835230597,
      1.7821404148606967,
      1.7477799968356602,
      1.7143947897753606,
      1.6819240914030829,
      1.650316532575421,
      1.6195276855585654,
      1.5895183791243306,
      1.5602535056941298,
      1.5317011705830264,
      1.5038320799463565,
      1.4766171321152992,
      1.4500279722083944,
      1.4240395990571484,
      1.3986296461088943,
      1.3737778593634722,
      1.3494659726624045,
      1.3256764473175788,
      1.302393598609636,
      1.2796036575921712,
      1.2572927546694754,
      1.2354480992856804,
      1.2140588216229002,
      1.193113628115903,
      1.1726007850935174,
      1.152508447019002,
      1.1328251601043626,
      1.113540675966772,
      1.094645002559675,
      1.0761285493650445,
      1.0579816763220642,
      1.0401947354949435,
      1.0227582024494684,
      1.00566275599154,
      0.9888993255114377,
      0.9724591173486039,
      0.9563336252449434,
      0.940514633532424,
      0.9249942136386455,
      0.9097647175758828,
      0.8948187693129472,
      0.8801492546088062,
      0.865749311399,
      0.8516123185927851,
      0.8377318863152168,
      0.8241018459411613,
      0.8107162399358814,
      0.7975693125783079,
      0.7846555016170753,
      0.771969429125375,
      0.7595058940074743,
      0.7472598639261618,
      0.7352264678225718,
      0.7234009892273748,
      0.7117788597710377,
      0.700355652880834,
      0.6891270780295472,
      0.6780889747023516,
      0.667237307226429,
      0.6565681597256158,
      0.6460777349333348,
      0.6357623773506639,
      0.6256185205959502,
      0.6156426319253848,
      0.605831284068722,
      0.5961811608217086,
      0.5866891867434886,
      0.5773527381399605,
      0.5681691738446479,
      0.5591357834098422,
      0.5502498367670071,
      0.5415086156600204,
      0.5329094324215696,
      0.524449643150946,
      0.5161266541394037,
      0.5079379252546729,
      0.4998809721748366,
      0.4919533667165682,
      0.4841527362449714,
      0.4764767631029722,
      0.46892318328778404,
      0.46148978515353223,
      0.4541744078744371,
      0.4469749400355123,
      0.4398893944033647,
      0.43291642669287245,
      0.4260548390844192,
      0.41930316874560364,
      0.4126597989970707,
      0.4061230285742246,
      0.3996911157080946,
      0.3933623066015628,
      0.38713485273378734,
      0.38100702220516175,
      0.3749771400623856,
      0.36904379053291125,
      0.3632056159381439,
      0.3574611708374593,
      0.3518089655634473,
      0.346247493352183,
      0.3407752474700287,
      0.33539073189108864,
      0.3300924680508752,
      0.3248790515779092,
      0.31974897155127746,
      0.3147005747219489,
      0.3097323057119643,
      0.30484248980479717,
      0.3000294540946186,
      0.29529169816160666,
      0.2906278487131345,
      0.28603660571348527,
      0.28151672252260235,
      0.2770669948666266,
      0.272686253365712,
      0.2683733587044563,
      0.2641271979679476,
      0.2599466822857049,
      0.25583074503938263,
      0.2517783405931236,
      0.2477887200309421,
      0.24386135854745986,
      0.23999558668146032,
      0.2361906267058711,
      0.2324456353881655,
      0.22875973202156227,
      0.22513201692388254,
      0.2215615834764467,
      0.21804752611737016,
      0.21458894510859203,
      0.2111849500695148,
      0.20783466194769717,
      0.2045372140848576,
      0.2012916762332198,
      0.19809709299137448,
      0.1949525665845029,
      0.19185724179518898,
      0.18881029586151796,
      0.18581093198659865,
      0.18285837483243766,
      0.17995186746125558,
      0.1770906691279146,
      0.17427405386549794,
      0.17150130967513608,
      0.16877173743366825,
      0.16608465031074746,
      0.16343937361155733,
      0.16083524409728925,
      0.15827160983155272,
      0.1557478299033254,
      0.15326327411550567,
      0.1508173226448679,
      0.1484093661117288,
      0.14603880519476728,
      0.14370505036278455,
      0.14140752176094412,
      0.13914564921340128,
      0.13691887181525783,
      0.13472663774159852,
      0.132568404280544,
      0.13044363760690242,
      0.12835181257600303,
      0.12629241243543776,
      0.12426492893149704,
      0.12226886191302523,
      0.1203037195143294,
      0.11836901761270135,
      0.11646427994691305,
      0.11458903803087366,
      0.11274283081269869,
      0.1109252046689097,
      0.10913571320011076,
      0.10737391729827665,
      0.10563938476666991,
      0.10393169029378749,
      0.10225041544985203,
      0.10059514838127671,
      0.09896548389700291,
      0.09736102311187814,
      0.09578137361444411,
      0.09422614920454381,
      0.09269496983721152,
      0.09118746144078411,
      0.0897032558002021,
      0.08824199061958465,
      0.08680330935090684,
      0.08538686099170294,
      0.0839923001949708,
      0.08261928702318108,
      0.08126748684899396,
      0.07993657036351505,
      0.07862621344444508,
      0.0773360970934848,
      0.07606590728413944,
      0.07481533494773082,
      0.0735840758249194,
      0.0723718304615464,
      0.07117830406918096,
      0.07000320653618668,
      0.06884625228392387,
      0.06770716022214812,
      0.06658565372721101,
      0.0654814603757035,
      0.06439431192244907,
      0.06332394446564367,
      0.06227009830985285,
      0.06123251769831674,
      0.060210950788611134,
      0.05920514978293299,
      0.058214870806129644,
      0.05723987367734867,
      0.05627992195011917,
      0.05533478296614232,
      0.05440422750337374,
      0.053488030143250646,
      0.052585968907536924,
      0.05169782515020423,
      0.050823383779748474,
      0.04996243294120516,
      0.049114764111499114,
      0.04828017201622889,
      0.04745845450798484,
      0.04664941269820438,
      0.04585285073224,
      0.045068575805222666,
      0.04429639810018545,
      0.043536130718602094,
      0.04278758963457304,
      0.04205059370472207,
      0.041324964596581255,
      0.04061052682649983,
      0.03990710760152874,
      0.03921453678622369,
      0.03853264681582835,
      0.03786127284541453,
      0.03720025257518646,
      0.03654942599640232,
      0.035908635849443205,
      0.035277727166473344,
      0.03465654743056318,
      0.03404494644193363,
      0.03344277641291099,
      0.03284989177912396,
      0.03226614922962511,
      0.03169140759886457,
      0.03112552809825044,
      0.030568373882093006,
      0.030019810423115252,
      0.02947970504399704,
      0.028947927347010505,
      0.02842434878066235,
      0.027908842837299996,
      0.027401284978327806,
      0.026901552637245377,
      0.02640952503928163,
      0.025925083365422118,
      0.025448110554733307,
      0.024978491342827966,
      0.0245161123134766,
      0.02406086191933691,
      0.0236126301471047,
      0.02317130869788376,
      0.022736790900322965,
      0.022308971954856434,
      0.021887748497853396,
      0.02147301869326803,
      0.0210646825018654,
      0.020662641365675787,
      0.020266798229431057,
      0.0198770574338519,
      0.019493324919860354,
      0.01911550800026013,
      0.01874351549903358,
      0.01837725756599194,
      0.018016645693748903,
      0.017661592797045225,
      0.01731201325328875,
      0.016967822783176944,
      0.016628938222405007,
      0.016295277704621774,
      0.015966760639348303,
      0.01564330772705571,
      0.015324840966383658,
      0.015011283367250265,
      0.014702559260014052,
      0.014398594074965273,
      0.01409931441898363,
      0.013804648188574908,
      0.013514524204260686,
      0.01322887254241842,
      0.0129476242737341,
      0.01267071141541845,
      0.0123980671290447,
      0.012129625515779223,
      0.01186532177132866,
      0.011605092230718464,
      0.011348874080309993,
      0.011096605455247004,
      0.010848225393727299,
      0.010603673954105325,
      0.010362892107090025,
      0.01012582177135703,
      0.009892405801868174,
      0.00966258781030816,
      0.009436312293733519,
      0.009213524677599982,
      0.008994171273416753,
      0.008778198966220434,
      0.00856555571242598,
      0.00835619026549927,
      0.008150052032214663,
      0.007947091281284322,
      0.007747259030830888,
      0.00755050704070258,
      0.007356787756867324,
      0.0071660545062444585,
      0.006978261218325208,
      0.006793362568758208,
      0.006611313903071419,
      0.006432071392454668,
      0.006255591791728461,
      0.00608183251128775,
      0.005910751513531714,
      0.005742307574196562,
      0.005576460101503098,
      0.005413169097573181,
      0.005252395065085114,
      0.005094099183148808,
      0.004938243250246514,
      0.004784789661443612,
      0.004633701388211279,
      0.004484941998454776,
      0.004338475570535678,
      0.004194266826063176,
      0.004052280895840738,
      0.003912483488441016,
      0.0037748409527453473,
      0.0036393200440753446,
      0.0035058880673526573,
      0.003374512786684014,
      0.003245162534418442,
      0.0031178061121156075,
      0.002992412763580172,
      0.0028689522386799475,
      0.002747394693477643,
      0.00262771082769293,
      0.0025098718523615684,
      0.002393849262266547,
      0.0022796150039608673,
      0.002167141499299368,
      0.002056401562388469,
      0.0019473684967097542,
      0.0018400161238470076,
      0.0017343184769590262,
      0.001630250029707772,
      0.001527785704365982,
      0.0014269007541001365,
      0.0013275708567595265,
      0.0012297720828528032,
      0.0011334807700203533,
      0.0010386736653214786,
      0.000945327840319283,
      0.0008534208621764291,
      0.0007629305842545823,
      0.0006738352122555928,
      0.0005861131674168873,
      0.0004997432565334156,
      0.00041470457588561486,
      0.00033097666451040414,
      0.00024853932859868243,
      0.00016737265753052156,
      8.74569774870254e-05,
      8.773060539795784e-06,
      -6.869799541624765e-05,
      -0.00014497481540491617,
      -0.00022007587768551007,
      -0.0002940193128199788,
      -0.00036682288581700996,
      -0.0004385043203221201,
      -0.0005090809482912852,
      -0.0005785696891068953,
      -0.0006469873703052857,
      -0.0007143504756437014,
      -0.0007806752989374086,
      -0.0008459778169720535,
      -0.0009102737461728281,
      -0.0009735786741191595,
      -0.0010359078344863003,
      -0.0010972761986473415,
      -0.0011576986553424229,
      -0.0012171899101774098,
      -0.0012757641615512426,
      -0.0013334354618202366,
      -0.0013902177597666739,
      -0.0014461248215711106,
      -0.0015011701897453703,
      -0.0015553670070886985,
      -0.001608728360997136,
      -0.0016612672075123549,
      -0.0017129962824098198,
      -0.0017639280557294591,
      -0.0018140746978853707,
      -0.0018634484648192761,
      -0.0019120612369936405,
      -0.001959924737945585,
      -0.002007050427609281,
      -0.002053449776306302,
      -0.002099133985325392,
      -0.002144114011877974,
      -0.002188400707542586,
      -0.0022320048036422787,
      -0.002274936800449875,
      -0.0023172069451241188,
      -0.0023588255835226384,
      -0.00239980271725788,
      -0.002440148234039026,
      -0.0024798717744381237,
      -0.0025189831008116605,
      -0.002557491607440609,
      -0.0025954065610335262,
      -0.0026327371690421414
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335141064372694,
      10.095004202678766,
      9.84925100604242,
      9.600528027832485,
      9.351155004637782,
      9.103147135982853,
      8.858185661049568,
      8.617603736140811,
      8.382386983094412,
      8.153189390548668,
      7.930363189768222,
      7.71399934175169,
      7.503974367377814,
      7.299999549357009,
      7.101670594807566,
      6.908510749153754,
      6.720007416768244,
      6.5356445249462025,
      6.354927325990577,
      6.177400081706299,
      6.002657977012946,
      5.830346297022653,
      5.660180910610232,
      5.491959424098293,
      5.325555750564558,
      5.160922117477666,
      4.998087968857017,
      4.837149075809805,
      4.678270041126236,
      4.521696045728112,
      4.367754437000993,
      4.216805420581576,
      4.0692321084992455,
      3.9254273777595845,
      3.7857826359568727,
      3.6506680026278353,
      3.5204152972994582,
      3.3953095766337715,
      3.2755830141012243,
      3.1614112203070213,
      3.052911932000627,
      2.950133745904734,
      2.8530525453500957,
      2.761566950406526,
      2.675515377803948,
      2.594691050954608,
      2.518855277186719,
      2.4477542452714838,
      2.381131488760115,
      2.3187153236141325,
      2.2602032510322685,
      2.2052534606675525,
      2.1534901024470092,
      2.1045551147500836,
      2.0581098159743414,
      2.013845495891876,
      1.971494491079806,
      1.9308348206754755,
      1.8916818483327693,
      1.8538893787268982,
      1.8173382221197543,
      1.7819254840105938,
      1.7475611860352636,
      1.714171979333247,
      1.681697226359853,
      1.6500856027306319,
      1.6192927124092034,
      1.5892794056718365,
      1.5600105896443366,
      1.5314543794725324,
      1.503581487690824,
      1.4763628471433532,
      1.4497701073129436,
      1.4237782781277657,
      1.398364982285202,
      1.3735099535294855,
      1.3491949216460564,
      1.32540234068403,
      1.3021166679396274,
      1.2793241432152629,
      1.2570108385135659,
      1.2351641272153866,
      1.2137731271129355,
      1.1928264484940883,
      1.1723122935397243,
      1.152218773378205,
      1.1325344231605998,
      1.1132489814343294,
      1.0943524449351765,
      1.0758352099568214,
      1.0576876230975267,
      1.0399000273329098,
      1.0224628912400175,
      1.0053668897893948,
      0.9886029495930886,
      0.9721622747517156,
      0.956036357450864,
      0.9402169807840378,
      0.9246962154030761,
      0.9094664124396621,
      0.8945201950728336,
      0.8798504485580305,
      0.8654503100464199,
      0.851313158086187,
      0.8374326022467042,
      0.8238024732970523,
      0.8104168132420536,
      0.79726986613959,
      0.7843560690373932,
      0.7716700436588936,
      0.7592065882660428,
      0.746960669833119,
      0.7349274168125852,
      0.7231021121584752,
      0.711480187184824,
      0.7000572147719132,
      0.6888289037601135,
      0.6777910931372625,
      0.6669397468100637,
      0.6562709484499117,
      0.6457809056892536,
      0.6354659701919504,
      0.6253225689854873,
      0.6153471655727242,
      0.605536330400885,
      0.5958867455753604,
      0.5863954310709506,
      0.5770597674141925,
      0.5678770747713474,
      0.5588446175222695,
      0.549959648773776,
      0.5412194391889585,
      0.5326212946041244,
      0.5241625659735055,
      0.5158406561544739,
      0.50765302289327,
      0.4995971801817692,
      0.49167069862553353,
      0.48387120487050844,
      0.4761963804390307,
      0.46864396085732146,
      0.46121173376627594,
      0.4538975379373122,
      0.4466992617808484,
      0.43961496472775896,
      0.4326433658639012,
      0.4257832242613678,
      0.4190330501702396,
      0.4123912092782717,
      0.40585598888021573,
      0.3994256398537074,
      0.3930984034258131,
      0.38687252782102505,
      0.3807462789794264,
      0.3747179941709326,
      0.3687862749256835,
      0.36294975041952915,
      0.35720696684233794,
      0.35155642917811913,
      0.3459966271678515,
      0.3405260517208214,
      0.3351432052496763,
      0.32984660802106414,
      0.32463486667290586,
      0.3195065567577296,
      0.3144600252327292,
      0.30949368090997964,
      0.3046058267314603,
      0.2997947741670098,
      0.295059013791944,
      0.2903971656943908,
      0.2858079248025481,
      0.2812900410021008,
      0.2768423077102666,
      0.2724635539983051,
      0.2681526393853679,
      0.2639084504351378,
      0.25972989781072453,
      0.2556159145172369,
      0.2515654546158632,
      0.24757778606866618,
      0.24365238484669988,
      0.239788574631208,
      0.23598557315860408,
      0.2322425342365732,
      0.2285585752673228,
      0.2249327952030976,
      0.2213642864133957,
      0.21785214257102112,
      0.21439546366972312,
      0.21099335897013372,
      0.20764494915879447,
      0.20434936553047423,
      0.20110567465361195,
      0.19791292289026532,
      0.19477021368393937,
      0.191676692558573,
      0.18863153734945548,
      0.1856339514974801,
      0.18268315996314863,
      0.17977840590070757,
      0.1769189487049784,
      0.17410406252016414,
      0.17133303535304575,
      0.16860516806259282,
      0.1659197739035295,
      0.16327617804436897,
      0.16067371737650987,
      0.1581117400742766,
      0.15558960506958056,
      0.15310668201922367,
      0.15066235122471405,
      0.14825600329456,
      0.14588703894314023,
      0.1435548686965454,
      0.14125891274690616,
      0.1389986008594032,
      0.13677337209056964,
      0.13458267473047436,
      0.13242596603045784,
      0.13030271217345232,
      0.12821238795310155,
      0.12615447668199367,
      0.12412847011985967,
      0.12213386829994143,
      0.12017017924134746,
      0.11823691888337472,
      0.11633361103158878,
      0.11445978721471184,
      0.11261498643856506,
      0.11079875508508404,
      0.10901064682857278,
      0.10725022252468044,
      0.10551705004663604,
      0.10381070421447786,
      0.10213076651818032,
      0.10047682523201482,
      0.09884847504229496,
      0.09724531723802991,
      0.09566695942707287,
      0.09411301546475585,
      0.09258310535286675,
      0.09107685501362156,
      0.08959389635717861,
      0.08813386712834682,
      0.0866964108242972,
      0.08528117648269143,
      0.08388781885843265,
      0.08251599797453449,
      0.0811653792513087,
      0.07983563348303911,
      0.07852643656975282,
      0.07723746947677604,
      0.07596841831755669,
      0.07471897403179009,
      0.07348883249443831,
      0.07227769434981765,
      0.07108526483747035,
      0.06991125389215393,
      0.06875537609584562,
      0.06761735036626375,
      0.06649689996055905,
      0.06539375258068432,
      0.06430764020211172,
      0.06323829894720888,
      0.06218546905664078,
      0.06114889484053263,
      0.06012832464495708,
      0.059123510690229704,
      0.05813420913345649,
      0.057160179907161116,
      0.056201186629228635,
      0.0552569966376768,
      0.054327380988822165,
      0.05341211419876743,
      0.05251097423002174,
      0.051623742519759715,
      0.05075020395103147,
      0.04989014690390493,
      0.049043362823412456,
      0.04820964652123054,
      0.047388796015968286,
      0.04658061243366633,
      0.045784899967384954,
      0.04500146587064652,
      0.04423012045008712,
      0.04347067688500576,
      0.042722951239239644,
      0.041986762487218256,
      0.04126193227103191,
      0.040548285122656555,
      0.039845648375912,
      0.039153851958765445,
      0.0384727283131338,
      0.03780211264573779,
      0.03714184270275504,
      0.03649175870688886,
      0.0358517032212645,
      0.03522152140726166,
      0.03460106091048744,
      0.033990171581449916,
      0.03338870569758358,
      0.032796517730579254,
      0.03221346442087786,
      0.03163940479082822,
      0.031074199982609654,
      0.030517713320118343,
      0.029969810105936648,
      0.029430357928686812,
      0.0288992263490671,
      0.02837628694382478,
      0.02786141327439691,
      0.02735448086998441,
      0.026855367128838365,
      0.026363951360513508,
      0.025880114829422478,
      0.025403740519238167,
      0.024934713362322725,
      0.024472919974107214,
      0.02401824873101846,
      0.02357058963285861,
      0.023129834501978336,
      0.022695876827108392,
      0.02226861177911665,
      0.021847936214062072,
      0.021433748339423898,
      0.021025947977021953,
      0.02062443672437616,
      0.020229117569242845,
      0.019839894904034282,
      0.01945667472416573,
      0.0190793644567174,
      0.01870787290957481,
      0.018342110270583044,
      0.017981988162690685,
      0.017627419641095897,
      0.01727831903088662,
      0.01693460192190637,
      0.016596185315155703,
      0.016262987450160533,
      0.015934927777197853,
      0.015611927054889715,
      0.0152939072496938,
      0.01498079161167621,
      0.014672504456096854,
      0.014368971433224504,
      0.01407011904565788,
      0.013775875155561128,
      0.013486168618925255,
      0.013200929490172975,
      0.012920088881468087,
      0.012643578915167942,
      0.012371332769280844,
      0.012103284778047986,
      0.011839370199912073,
      0.01157952528791412,
      0.011323687287789331,
      0.011071794414580548,
      0.010823785821653102,
      0.010579601563150434,
      0.010339182562427263,
      0.010102470883833932,
      0.009869409352634403,
      0.00963994168674477,
      0.009414012384275807,
      0.009191566938414424,
      0.008972551610626923,
      0.00875691345531688,
      0.008544600474721943,
      0.008335561370207583,
      0.008129745665577033,
      0.007927103597997543,
      0.007727586126143408,
      0.007531145196000776,
      0.007337733399479765,
      0.00714730402378207,
      0.006959811033517376,
      0.006775209131759931,
      0.006593453664947722,
      0.0064145007848450545,
      0.006238307314544924,
      0.006064830782633258,
      0.005894029237388977,
      0.005725861425704019,
      0.005560286726506326,
      0.005397265150490907,
      0.005236757361137117,
      0.005078724469466372,
      0.004923128377718324,
      0.004769931578685182,
      0.004619097015073378,
      0.004470588341136795,
      0.004324369671702993,
      0.004180405632343502,
      0.004038661494046735,
      0.0038991029285619966,
      0.0037616962746816972,
      0.0036264082914593226,
      0.0034932063838940828,
      0.003362058341507358,
      0.003232932580899463,
      0.0031057979135237896,
      0.002980623614094037,
      0.0028573794399958338,
      0.0027360356397931494,
      0.0026165629190196163,
      0.002498932458908159,
      0.0023831157968172614,
      0.0022690849306968774,
      0.0021568124130242365,
      0.002046271077362915,
      0.0019374342434836226,
      0.001830275708139159,
      0.0017247694385146021,
      0.0016208899600730045,
      0.0015186122943497394,
      0.0014179117404011863,
      0.001318763892105535,
      0.001221144860430679,
      0.0011250310780271822,
      0.0010303993401486495,
      0.0009372268407514765,
      0.0008454910067047037,
      0.0007551697718637332,
      0.0006662412612150823,
      0.0005786838832567587,
      0.0004924765823263905,
      0.0004075985587753322,
      0.0003240292827094356,
      0.00024174861692550316,
      0.0001607366997166295,
      8.097390508593755e-05,
      2.441039168632109e-06,
      -7.488090047733167e-05,
      -0.00015101057033818234,
      -0.00022596641176327986,
      -0.0002997664368305989,
      -0.00037242852815217765,
      -0.00044397015920346087,
      -0.0005144085329693946,
      -0.0005837607956354305,
      -0.0006520437732872883,
      -0.0007192738279577018,
      -0.0007854671636484196,
      -0.0008506397816852667,
      -0.0009148074291655436,
      -0.000977985660763151,
      -0.001040189766166251,
      -0.0011014347346448067,
      -0.001161735352204986,
      -0.001221106176793352,
      -0.0012795615383493337,
      -0.001337115531336567,
      -0.0013937820192112295,
      -0.0014495747080549278,
      -0.0015045071174652695,
      -0.0015585925383774677,
      -0.0016118439961278087,
      -0.0016642743334167778,
      -0.0017158962352849855,
      -0.0017667221134441424,
      -0.001816764256996594,
      -0.0018660347978409562,
      -0.0019145456437403186,
      -0.001962308461600029,
      -0.0020093347995473786,
      -0.002055635941374847,
      -0.002101223090919034,
      -0.0021461073587271196,
      -0.0021902995256565484,
      -0.0022338102508005697,
      -0.0022766500432592216,
      -0.0023188292588985386,
      -0.00236035814103389,
      -0.00240124675240334,
      -0.0024415048493344554,
      -0.002481142142783421,
      -0.002520168196406591,
      -0.002558592546767299,
      -0.0025964244165102832,
      -0.0026336728649420616
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335137598175825,
      10.094991617887306,
      9.84922343750317,
      9.600481266482827,
      9.351086133644923,
      9.103054266560239,
      8.858067687757977,
      8.617460132434068,
      8.382217621261145,
      8.152994390362926,
      7.930142802012902,
      7.713753862366877,
      7.503704081059782,
      7.2997048155116975,
      7.101351746539597,
      6.908168058835573,
      6.71964113546561,
      6.535254919531339,
      6.354514767962162,
      6.17696505159643,
      6.002201182555952,
      5.829868675947736,
      5.65968358275103,
      5.491443728425829,
      5.325023281025786,
      5.160374700383188,
      4.997527564018339,
      4.8365779330246745,
      4.677690677841061,
      4.5211117232952684,
      4.367168692326029,
      4.21622177638218,
      4.068654037072343,
      3.924858304717737,
      3.7852259455680843,
      3.650126790665662,
      3.519892321412594,
      3.3948072167357655,
      3.2751032457061546,
      3.160955601965218,
      3.0524816063453586,
      2.9497293100784248,
      2.8526740262022656,
      2.761213759673124,
      2.6751863272502368,
      2.5943844246801775,
      2.5185692044178505,
      2.4474868322755086,
      2.38088067259353,
      2.3184788899813094,
      2.259979016245997,
      2.205038830922132,
      2.153282559747153,
      2.1043524182161364,
      2.057909917896094,
      2.0136464902173596,
      1.971294914724018,
      1.9306335861514445,
      1.8914781723544452,
      1.8536827065332697,
      1.8171281641758945,
      1.7817117355148318,
      1.7473435374710724,
      1.7139503122602913,
      1.681471487019661,
      1.6498557822679745,
      1.6190588327344608,
      1.5890415105831963,
      1.559768737410518,
      1.5312086379527625,
      1.5033319310296565,
      1.4761095842039658,
      1.4495132506074482,
      1.4235179519175278,
      1.3981013052051083,
      1.373243029859178,
      1.348924846048525,
      1.3251292008945026,
      1.3018406947000989,
      1.2790455762914943,
      1.2567298600493293,
      1.2348810841187285,
      1.2134883528964862,
      1.1925401800241444,
      1.1720247038966582,
      1.1519299924625959,
      1.1322445728652901,
      1.112958165750534,
      1.0940607580075319,
      1.0755427329389096,
      1.0573944236910204,
      1.0396061638844205,
      1.0221684163633826,
      1.005071851890451,
      0.988307393925539,
      0.9718662442589209,
      0.9557398937517033,
      0.9399201241327967,
      0.9243990051498993,
      0.9091688872289971,
      0.8942223928309158,
      0.879552406777876,
      0.8651520656580932,
      0.8510147473707563,
      0.8371340611999534,
      0.8235038371719918,
      0.8101181167957396,
      0.7969711435154653,
      0.7840573540467412,
      0.7713713694442863,
      0.7589079873638628,
      0.7466621743039712,
      0.7346290584148178,
      0.7228039222599734,
      0.7111821963115298,
      0.6997594530125206,
      0.6885314006541784,
      0.6774938776067366,
      0.6666428472609439,
      0.6559743925609635,
      0.645484730851757,
      0.6351702150204435,
      0.6250272657453562,
      0.6150523430888577,
      0.6052420156512093,
      0.595592964434958,
      0.5861023050857659,
      0.576767422200811,
      0.5675855972305127,
      0.5585540692581294,
      0.5496700748733697,
      0.5409308737387201,
      0.5323337644092853,
      0.5238760931037656,
      0.5155552594262066,
      0.5073687185714952,
      0.49931398312721015,
      0.49138862259166854,
      0.4835902625882302,
      0.4759165840494991,
      0.46836532165052597,
      0.460934262777592,
      0.4536212458508483,
      0.4464241586243724,
      0.43934110724460607,
      0.43237087411677483,
      0.42551217555998555,
      0.4187634945744639,
      0.41212317936602544,
      0.4055895058116785,
      0.39916071717808915,
      0.39283504984022405,
      0.38661074891535724,
      0.38048607825447395,
      0.3744593870914139,
      0.36852929430389,
      0.36269441611890657,
      0.35695329045176655,
      0.3513044167021722,
      0.3457462810197806,
      0.34027737206327835,
      0.33489619073903937,
      0.32960125646714955,
      0.3243911868613254,
      0.31926463257522597,
      0.31421995609949505,
      0.3092555289746696,
      0.3043696306591105,
      0.2995605562181161,
      0.29482678718267724,
      0.2901669366286828,
      0.28557969420928214,
      0.2810638063266356,
      0.2766180640291652,
      0.2722412948941136,
      0.2679323574702287,
      0.26369013744935965,
      0.25951354486837275,
      0.2554015123857434,
      0.2513529937893403,
      0.24736727375755488,
      0.24344382932037348,
      0.23958197738040835,
      0.23578093120360472,
      0.23203984159064345,
      0.22835782376363614,
      0.22473397532485612,
      0.2211673877231693,
      0.2176571541480216,
      0.21420237409852563,
      0.21080215651719023,
      0.2074556219848688,
      0.20416189943429403,
      0.20092005231653132,
      0.1977291288101212,
      0.19458823347740123,
      0.19149651275096952,
      0.18845314492504467,
      0.18545733399798348,
      0.18250830504022303,
      0.17960530130087202,
      0.1767475822537357,
      0.17393442214394622,
      0.17116510891640022,
      0.1684389435033287,
      0.16575523925940516,
      0.1631133213011599,
      0.1605125265384932,
      0.15795220293438056,
      0.15543170960842978,
      0.15295041630811482,
      0.15050770327727298,
      0.14810296104504903,
      0.14573559024301921,
      0.14340500144382995,
      0.1411106149516376,
      0.13885186051819615,
      0.13662817733431887,
      0.1344390135268337,
      0.13228382648964482,
      0.1301620824598355,
      0.12807325622198593,
      0.1260168310353097,
      0.12399229870730143,
      0.12199915927389283,
      0.12003692076883057,
      0.11810509924008682,
      0.11620321851199507,
      0.11433081006718002,
      0.11248741289559484,
      0.11067257348848306,
      0.10888584559581145,
      0.10712679001359711,
      0.1053949747124508,
      0.10368997448038834,
      0.10201137097036461,
      0.10035875240758278,
      0.09873171366262704,
      0.09712985609866688,
      0.0955527872624059,
      0.09400012100974482,
      0.09247147730904647,
      0.09096648221836907,
      0.0894847677560451,
      0.0880259717287567,
      0.0865897376014913,
      0.08517571442556779,
      0.08378355699282694,
      0.08241292540246482,
      0.08106348524784547,
      0.07973490734236051,
      0.07842686759094303,
      0.07713904716920442,
      0.0758711321775584,
      0.07462281357680883,
      0.07339378723987094,
      0.07218375384949603,
      0.07099241881943451,
      0.06981949218851109,
      0.06866468842957922,
      0.067527726484586,
      0.06640832983157458,
      0.06530622621236555,
      0.06422114755388864,
      0.06315283004460547,
      0.062101014150619804,
      0.06106544419249981,
      0.06004586850896273,
      0.059042039482666946,
      0.0580537131675165,
      0.057080649597662146,
      0.05612261248780492,
      0.05517936920496974,
      0.054250690814103684,
      0.05333635199461084,
      0.05243613087180606,
      0.05154980880387031,
      0.05067717078873052,
      0.049818005216330695,
      0.04897210381526198,
      0.04813926142432425,
      0.04731927605881338,
      0.04651194879168387,
      0.04571708398328475,
      0.04493448895748742,
      0.04416397399136679,
      0.04340535228095805,
      0.04265844004220906,
      0.041923056397516666,
      0.041199022996703964,
      0.04048616447799508,
      0.039784308077907594,
      0.039093283773090244,
      0.03841292426080616,
      0.03774306478135029,
      0.03708354312500583,
      0.036434199486558676,
      0.035794876666290276,
      0.03516541990560859,
      0.03454567675103016,
      0.03393549721989723,
      0.033334733615854505,
      0.032743240375638326,
      0.0321608744871577,
      0.03158749495637048,
      0.031022962963209156,
      0.03046714183471798,
      0.029919897070935286,
      0.02938109630931111,
      0.02885060915761116,
      0.028328307123196346,
      0.02781406383603496,
      0.02730775500005693,
      0.026809258149037618,
      0.026318452574934814,
      0.025835219555432002,
      0.02535944227781604,
      0.024891005534658665,
      0.024429796125662605,
      0.023975702452727808,
      0.02352861470702609,
      0.02308842469971649,
      0.02265502596685422,
      0.022228313689686384,
      0.02180818461343422,
      0.02139453717766607,
      0.0209872713265919,
      0.020586288617198453,
      0.020191491992285576,
      0.01980278598582496,
      0.019420076698983615,
      0.019043271572083,
      0.018672279473795406,
      0.018307010649487886,
      0.017947376725705604,
      0.01759329090477732,
      0.017244667586304493,
      0.016901422470897133,
      0.016563472496926593,
      0.01623073594115921,
      0.015903132282828483,
      0.015580582447980247,
      0.015263008365767126,
      0.014950333292357041,
      0.014642481713553345,
      0.014339379226869566,
      0.014040952427944876,
      0.013747129163440916,
      0.013457838464364422,
      0.013173010375867085,
      0.012892576147573444,
      0.012616467950973927,
      0.012344619007848312,
      0.01207696365931429,
      0.011813437146379497,
      0.011553975794967477,
      0.011298516912277892,
      0.011046998693629215,
      0.010799360279209844,
      0.010555541865023462,
      0.010315484481005641,
      0.010079130255894143,
      0.009846421967568708,
      0.009617303340208053,
      0.009391719116178926,
      0.009169614635472957,
      0.008950936289429763,
      0.008735631240322351,
      0.008523647392096014,
      0.008314933433999914,
      0.008109438970298108,
      0.007907114392248319,
      0.007707910759940234,
      0.00751177994724782,
      0.007318674580285103,
      0.007128548016917331,
      0.0069413542463506814,
      0.006757047956690685,
      0.006575584662614097,
      0.006396920409580938,
      0.006221012180531491,
      0.006047817453324535,
      0.005877294320265388,
      0.005709401590727596,
      0.005544098603897407,
      0.0053813454894063965,
      0.005221102889566752,
      0.005063332072332401,
      0.004907994938266092,
      0.004755053915446575,
      0.004604472066429298,
      0.004456213026113237,
      0.004310240909821813,
      0.00416652048410292,
      0.004025016964821747,
      0.0038856961797633753,
      0.003748524440543126,
      0.003613468646014152,
      0.003480496082270159,
      0.0033495747013867466,
      0.0032206728682644807,
      0.0030937592874433805,
      0.0029688033193116694,
      0.002845774770462186,
      0.0027246440744526385,
      0.002605381825657829,
      0.002487959268212743,
      0.0023723480114152574,
      0.0022585200200460342,
      0.0021464478796419514,
      0.0020361045425744857,
      0.0019274632917585177,
      0.0018204978138969272,
      0.001715182242676324,
      0.0016114911905434866,
      0.0015093996300992363,
      0.001408882916632066,
      0.0013099166978351624,
      0.0012124770281920503,
      0.0011165403192804817,
      0.0010220834190627433,
      0.0009290835335932532,
      0.0008375182331909003,
      0.0007473653259523859,
      0.0006586030953394215,
      0.0005712101382250437,
      0.00048516521108950516,
      0.00040044748388475427,
      0.00031703655985538236,
      0.00023491220470845948,
      0.00015405462339987581,
      7.444434411811922e-05,
      -3.9378706450185095e-06,
      -8.111105518343333e-05,
      -0.00015709384178256636,
      -0.00023190462306811274,
      -0.0003055614269311204,
      -0.00037808208890822336,
      -0.00044948410603621333,
      -0.0005197847439199835,
      -0.000589000983341103,
      -0.000657149542527098,
      -0.0007242468727946199,
      -0.0007903091785992054,
      -0.0008553524685841515,
      -0.0009193924718596926,
      -0.0009824446108714926,
      -0.001044524138304459,
      -0.001105646152273945,
      -0.0011658254395007337,
      -0.0012250763997137676,
      -0.001283413394845254,
      -0.0013408505125539548,
      -0.0013974016345177647,
      -0.001453080382775626,
      -0.001507900268583987,
      -0.0015618745672231276,
      -0.0016150163320719736,
      -0.0016673383569470472,
      -0.0017188532896214863,
      -0.0017695736690281519,
      -0.001819511649896745,
      -0.0018686793560378388,
      -0.0019170885713428616,
      -0.0019647510153706542,
      -0.002011678255563413,
      -0.002057881708376504,
      -0.0021033724739317294,
      -0.0021481615641717492,
      -0.0021922597361979674,
      -0.0022356776872373917,
      -0.002278425873890165,
      -0.002320514642176374,
      -0.0023619542173824956,
      -0.0024027545597387697,
      -0.0024429255943280454,
      -0.0024824769765584,
      -0.0025214182763166637,
      -0.0025597589200742955,
      -0.0025975081071530405,
      -0.0026346749984543037
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33513414611572,
      10.094979079639025,
      9.849195963021145,
      9.600434658609204,
      9.35101748368901,
      9.102961689654192,
      8.85795008459276,
      8.617316978500106,
      8.382048788574966,
      8.152799999959823,
      7.929923105012011,
      7.713509153637158,
      7.503434645444677,
      7.299411017369887,
      7.101033921742214,
      6.907826480785245,
      6.719276057046515,
      6.534866608638924,
      6.354103596355645,
      6.176531499885126,
      6.001745960899876,
      5.829392722722421,
      5.659188019214914,
      5.490929895342293,
      5.324492770668961,
      5.159829343660503,
      4.996969322636215,
      4.836009051682569,
      4.677113668197334,
      4.520529837713282,
      4.366585456822159,
      4.215640702651853,
      4.068078585038261,
      3.9242918870449364,
      3.784671932419243,
      3.649588264255021,
      3.5193720256745777,
      3.3943075188685072,
      3.274626110360259,
      3.1605025784022738,
      3.0520538275595004,
      2.94932736473208,
      2.8522979341360877,
      2.7608629281737254,
      2.6748595654649714,
      2.594080016687816,
      2.5182852814330516,
      2.4472214877808165,
      2.3806318344942152,
      2.318244351753831,
      2.259756602791624,
      2.204825958923436,
      2.153076709770891,
      2.104151348486314,
      2.0577115921786375,
      2.013449011511318,
      1.9710968262884563,
      1.9304338061907247,
      1.891275921806502,
      1.8534774338816569,
      1.8169194832016622,
      1.7814993436438376,
      1.7471272269997808,
      1.7137299664410182,
      1.6812470526897565,
      1.6496272513851284,
      1.6188262282817878,
      1.5888048768700656,
      1.5595281336146294,
      1.5309641328775037,
      1.503083599233273,
      1.4758575352409233,
      1.4492575989198648,
      1.4232588222352607,
      1.39783881623382,
      1.372977285750549,
      1.3486559413886212,
      1.3248572241004748,
      1.3015658768830634,
      1.2787681572700884,
      1.256450021853375,
      1.2345991727099586,
      1.213204702141705,
      1.1922550273222712,
      1.1717382218667978,
      1.151642311479511,
      1.1319558148039874,
      1.1126684350566776,
      1.0937701487830773,
      1.0752513265070398,
      1.0571022879295977,
      1.0393133578286688,
      1.0218749930137558,
      1.0047778592771464,
      0.9880128774331364,
      0.9715712473647325,
      0.9554444582466777,
      0.9396242907924705,
      0.9241028135834553,
      0.908872376025725,
      0.8939256001049104,
      0.8792553699936021,
      0.8648548215503696,
      0.8507173323141132,
      0.8368365111132897,
      0.8232061874153436,
      0.8098204022627554,
      0.796673398566031,
      0.7837596123041336,
      0.7710736643219347,
      0.7586103516941722,
      0.7463646402397278,
      0.7343316574743748,
      0.7225066853902412,
      0.7108851541205581,
      0.6994626355630232,
      0.6882348374775965,
      0.6771975976845588,
      0.6663468789981366,
      0.6556787643111087,
      0.6451894812572012,
      0.6348753822101781,
      0.6247328814908241,
      0.6147584359384993,
      0.6049486126502275,
      0.5953001381016141,
      0.5858101984256764,
      0.5764761363526029,
      0.5672952031671256,
      0.5582646181017968,
      0.5493816048601032,
      0.5406434146685345,
      0.5320473401807403,
      0.523590723613871,
      0.5152709618911857,
      0.507085508884876,
      0.4990318756049699,
      0.4911076305467802,
      0.48331039856581626,
      0.4756378599783525,
      0.4680877489875629,
      0.4606578523913445,
      0.45334600820429855,
      0.44615010384960696,
      0.4390683108412382,
      0.4320994486692879,
      0.4252421937380935,
      0.4184950036724087,
      0.41185621014389395,
      0.4053240782220652,
      0.39889684429576877,
      0.39257273993118286,
      0.38635000728182073,
      0.3802269080477304,
      0.3742018037702502,
      0.368273330483458,
      0.36244009160411084,
      0.3567006169105826,
      0.3510534004706534,
      0.34549692484126066,
      0.34002967626452996,
      0.3346501541273534,
      0.32935687658284685,
      0.32414847229571364,
      0.3190236372617325,
      0.31398079096112436,
      0.30901826314097003,
      0.30413430751621673,
      0.29932720116632805,
      0.2945954155169624,
      0.28993755594726855,
      0.2853523062194434,
      0.2808384090203805,
      0.27639465290150667,
      0.27201986367929437,
      0.26771289880592025,
      0.2634726431780805,
      0.259298006334415,
      0.25518792058841355,
      0.25114134191067455,
      0.24715757036129546,
      0.24323608110752756,
      0.23937618478036057,
      0.23557709047495265,
      0.23183794614127498,
      0.22815786522983428,
      0.22453594410785607,
      0.22097127346889395,
      0.21746294580285716,
      0.21401006026634728,
      0.21061172561057714,
      0.20726706209418677,
      0.2039751963510489,
      0.20073518879052735,
      0.19754608947068045,
      0.19440700422533452,
      0.1913170801038948,
      0.18827549587309075,
      0.18528145578403968,
      0.18233418522009787,
      0.17943292768938296,
      0.17657694278182515,
      0.17376550472855,
      0.1709979014755641,
      0.16827343399606579,
      0.1655914155341232,
      0.1629511714141183,
      0.1603520384100922,
      0.15779336458398974,
      0.15527450898779482,
      0.15279484139493824,
      0.15035374200300264,
      0.1479506014062997,
      0.14558482026019284,
      0.1432558090939025,
      0.1409629881765028,
      0.138705787436273,
      0.13648364586673237,
      0.13429601185636553,
      0.1321423427182174,
      0.13002210457095295,
      0.12793477232219355,
      0.1258798293857799,
      0.12385676752044808,
      0.12186508676391386,
      0.11990429519528152,
      0.1179739088564381,
      0.11607345152616076,
      0.11420245481182503,
      0.11236045773771168,
      0.11054700679607461,
      0.10876165581249696,
      0.10700396569522,
      0.10527350430919699,
      0.10356984650024761,
      0.10189257395789689,
      0.1002412749673843,
      0.09861554440635222,
      0.09701498361722682,
      0.09543920028907582,
      0.09388780834164548,
      0.0923604278624597,
      0.09085668493154597,
      0.0893762114667788,
      0.08791864532464227,
      0.08648363003355991,
      0.08507081488436863,
      0.08367985463671535,
      0.08231040953429075,
      0.08096214507514078,
      0.07963473211579576,
      0.07832784669510387,
      0.07704116992425772,
      0.0757743880095341,
      0.0745271920515388,
      0.07329927795722875,
      0.072090346350557,
      0.07090010271927039,
      0.0697282571307805,
      0.06857452423852561,
      0.06743862307577139,
      0.06632027716462419,
      0.06521921427848722,
      0.06413516639527085,
      0.06306786982184683,
      0.06201706496221146,
      0.06098249628555939,
      0.05996391220703508,
      0.05896106508544253,
      0.05797371115574108,
      0.057001610440959714,
      0.05604452676101543,
      0.05510222759978275,
      0.054174484040023715,
      0.053261070743403006,
      0.05236176587397643,
      0.05147635108588495,
      0.050604611419073194,
      0.04974633515029015,
      0.048901314083024866,
      0.04806934318223115,
      0.04725022046001998,
      0.04644374714270172,
      0.045649727624812224,
      0.04486796928828982,
      0.04409828243818885,
      0.0433404803768414,
      0.04259437939363586,
      0.041859798575797344,
      0.04113655975980955,
      0.04042448756992328,
      0.039723409374897656,
      0.039033155287187385,
      0.03835355792138612,
      0.03768445250217574,
      0.0370256770942431,
      0.036377071948815766,
      0.03573847983533875,
      0.03510974603888851,
      0.03449071827878599,
      0.033881246553367245,
      0.033281183076531086,
      0.03269038262352346,
      0.03210870212299556,
      0.03153600069031044,
      0.030972139490873896,
      0.03041698203141568,
      0.029870393887507656,
      0.02933224256667818,
      0.028802397836724374,
      0.028280731414056792,
      0.027767116939397693,
      0.027261430005563286,
      0.02676354819265236,
      0.02627335104752004,
      0.02579071991160257,
      0.025315537870417782,
      0.024847689875052353,
      0.02438706267390942,
      0.02393354471937371,
      0.023487026367498706,
      0.02304739944253464,
      0.022614557532537428,
      0.02218839588443625,
      0.021768811381932745,
      0.021355702485480237,
      0.020948969260908824,
      0.02054851319146945,
      0.020154237384040295,
      0.0197660464310583,
      0.01938384647594665,
      0.019007544953401304,
      0.018637050774141583,
      0.01827227429858723,
      0.017913127316704094,
      0.017559522873926498,
      0.017211375318572086,
      0.01686860053237836,
      0.01653111561971737,
      0.016198838894747488,
      0.01587168989816384,
      0.01554958957810437,
      0.0152324599802887,
      0.01492022433026454,
      0.014612807152625355,
      0.014310133974762796,
      0.014012131588614187,
      0.013718727922494336,
      0.013429852000212152,
      0.0131454339618417,
      0.012865405063243279,
      0.012589697393673124,
      0.01231824424577768,
      0.012050980076448918,
      0.011787840332586058,
      0.011528761223205928,
      0.011273680220031591,
      0.011022535474147494,
      0.01077526622876953,
      0.010531812723032195,
      0.010292115943393144,
      0.010056118053754103,
      0.009823762002910748,
      0.009594991517278903,
      0.009369751198185668,
      0.00914798664148125,
      0.008929644166986404,
      0.008714670970378632,
      0.008503015151419123,
      0.0082946254657321,
      0.008089451473759855,
      0.007887443501632735,
      0.0076885527644901626,
      0.007492731187706413,
      0.007299931345367217,
      0.007110106547915166,
      0.006923210976988006,
      0.006739199378041758,
      0.006558027264724439,
      0.006379650858889023,
      0.006204026962945229,
      0.006031113210459524,
      0.00586086768985289,
      0.00569324926987006,
      0.005528217323409836,
      0.0053657319562884975,
      0.005205753907791625,
      0.005048244511105183,
      0.004893165643471991,
      0.004740479780092255,
      0.004590150031062416,
      0.004442140060406914,
      0.0042964140261393165,
      0.004152936655845712,
      0.004011673305343202,
      0.003872589778248949,
      0.0037356524081946342,
      0.0036008280663370326,
      0.00346808415224271,
      0.003337388644126223,
      0.0032087099030515005,
      0.0030820168160781945,
      0.002957278705876055,
      0.002834465401110281,
      0.0027135472707503342,
      0.0025944949039443774,
      0.00247727959917888,
      0.002361872984211029,
      0.0022482471848275366,
      0.002136374696146518,
      0.0020262284400804874,
      0.0019177818690056013,
      0.0018110087342605849,
      0.0017058831993555543,
      0.0016023799294914616,
      0.001500473845681951,
      0.0014001402109290863,
      0.0013013547491908157,
      0.0012040937029826426,
      0.0011083334662848978,
      0.0010140508738676647,
      0.000921223084614406,
      0.0008298276765021002,
      0.0007398425521832456,
      0.0006512459158156568,
      0.0005640163656619211,
      0.0004781329435247126,
      0.00039357483634223613,
      0.0003103214725468155,
      0.00022835274032362746,
      0.00014764886395397483,
      6.81904280945849e-05,
      -1.0041863842512341e-05,
      -8.706692836979996e-05,
      -0.00016290340783319817,
      -0.00023756975021497307,
      -0.00031108389332094394,
      -0.00038346368514305314,
      -0.00045472668683769834,
      -0.0005248899806201781,
      -0.0005939706632233287,
      -0.0006619853850567152,
      -0.000728950574525757,
      -0.000794882451748044,
      -0.0008597969075926711,
      -0.0009237096488969329,
      -0.0009866361582487242,
      -0.001048591678528187,
      -0.0011095911327471972,
      -0.0011696492908174004,
      -0.0012287807448180558,
      -0.0012869997689588634,
      -0.0013443204522369555,
      -0.0014007566136202865,
      -0.0014563218881904405,
      -0.0015110297424174761,
      -0.0015648934379955176,
      -0.0016179260139522372,
      -0.0016701402361285684,
      -0.0017215487744199924,
      -0.001772164042613932,
      -0.001821998298100903,
      -0.0018710635562349013,
      -0.001919371631268482,
      -0.001966934271892847,
      -0.0020137630418248214,
      -0.00205986919357208,
      -0.0021052638968195366,
      -0.002149958091701253,
      -0.002193962595476164,
      -0.0022372880873380444,
      -0.002279945048969397,
      -0.0023219438053608435,
      -0.0023632944701431906,
      -0.0024040070870264096,
      -0.0024440915293375983,
      -0.002483557481375533,
      -0.0025224143620711085,
      -0.002560671520984416,
      -0.002598338313184974,
      -0.00263542392587792
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33513071317597,
      10.094966606075394,
      9.849168617704889,
      9.600388258632897,
      9.350949130976547,
      9.10286950813836,
      8.857832980382556,
      8.617174432463163,
      8.381880677497174,
      8.15260644596762,
      7.929704360373065,
      7.713265514112653,
      7.5031664010526615,
      7.2991185355704955,
      7.100717538351503,
      6.907486469581648,
      6.718912671382935,
      6.534480116734336,
      6.353694371763695,
      6.176100024362997,
      6.001292946816519,
      5.82891911117985,
      5.658694932361824,
      5.490418672698802,
      5.323965003966729,
      5.159286870967047,
      4.99641411065935,
      4.835443339837647,
      4.6765399606360205,
      4.519951375114392,
      4.366005750503401,
      4.215063248250564,
      4.067506826295537,
      3.9237292191014497,
      3.7841217067531163,
      3.6490535446049424,
      3.5188555385162545,
      3.3938116151785556,
      3.2741527388127016,
      3.1600532728462105,
      3.0516297078632535,
      2.948929008568171,
      2.851925353771876,
      2.7605155264412233,
      2.6745361487130213,
      2.5937788677201525,
      2.518004529769215,
      2.4469592006447662,
      2.380385921670935,
      2.3180126188721832,
      2.259536886701388,
      2.2046156889168502,
      2.1528733799788453,
      2.103952729678249,
      2.0575156577523583,
      2.013253870008456,
      1.9709010264369244,
      1.9302362711991756,
      1.8910758768425855,
      1.8532743312130746,
      1.8167129399246027,
      1.7812890596034348,
      1.7469129969132065,
      1.7135116751017718,
      1.681024648701467,
      1.649400728327284,
      1.6185956109584143,
      1.5885702110395126,
      1.5592894791141039,
      1.5307215591842789,
      1.5028371821439626,
      1.475607384628913,
      1.4490038402149683,
      1.4230015862067062,
      1.3975782163675992,
      1.3727134273623505,
      1.3483889158738485,
      1.3245871913140541,
      1.3012931012066127,
      1.2784928393216148,
      1.2561723180778406,
      1.2343194122430396,
      1.2129232061329243,
      1.191972025154172,
      1.1714538820644798,
      1.1513567615392426,
      1.131669174877011,
      1.1123808083494446,
      1.0934816287367397,
      1.074961993490908,
      1.0568122095331254,
      1.0390225930006618,
      1.0215835944563205,
      1.0044858758787671,
      0.9877203551139809,
      0.9712782297602486,
      0.9551509875859482,
      0.9393304080053786,
      0.9238085586037166,
      0.9085777882896532,
      0.8936307179750027,
      0.878960231089879,
      0.8645594631245221,
      0.8504217911589159,
      0.8365408231084274,
      0.8229103882860058,
      0.8095245270596136,
      0.7963774816963737,
      0.7834636877845155,
      0.7707777652852181,
      0.7583145110587395,
      0.7460688905823227,
      0.7340360307435085,
      0.7222112130189784,
      0.7105898667748629,
      0.699167563568693,
      0.6879400105027166,
      0.6769030449988529,
      0.6660526293182322,
      0.6553848513603034,
      0.6448959458810589,
      0.6345822598995263,
      0.6244402026329187,
      0.6144662279793212,
      0.6046569017327275,
      0.5950090004126636,
      0.5855197788115812,
      0.5761865337556625,
      0.5670064874322589,
      0.5579768399301072,
      0.5490948020332105,
      0.5403576165213759,
      0.531762570489918,
      0.5233070024445592,
      0.5149883068160747,
      0.5068039355279838,
      0.4987513985044697,
      0.4908282630421233,
      0.4830321532359059,
      0.4753607488426521,
      0.4678117835991763,
      0.4603830437967906,
      0.4530723668709281,
      0.44587763994354895,
      0.4387971239021269,
      0.43182964168084453,
      0.42497383367287184,
      0.41822813404266507,
      0.41159085921864164,
      0.4050602643626494,
      0.39863457949721526,
      0.39231203201407044,
      0.3860908613281901,
      0.37996932711064135,
      0.373945813894555,
      0.36801896013739405,
      0.36218735789009565,
      0.356449529614004,
      0.3508039645520174,
      0.3452491422970023,
      0.33978354709648395,
      0.334405676831163,
      0.3291140487932935,
      0.3239073023917486,
      0.3187841588327096,
      0.3137431061900928,
      0.3087824519825965,
      0.30390042038254445,
      0.2990952685672645,
      0.29436545593412955,
      0.2897095789278463,
      0.28512631500297425,
      0.2806144024656409,
      0.27617262711461427,
      0.271799812891942,
      0.26749481578633694,
      0.26325651992754096,
      0.25908383428262294,
      0.2549756907592636,
      0.2509310539226621,
      0.24694923549057587,
      0.2430297027757698,
      0.23917176126874976,
      0.2353746167365861,
      0.23163741481094577,
      0.2279592673055095,
      0.22433926951025154,
      0.22077651150634756,
      0.21727008523827998,
      0.21381908955903617,
      0.21042263299003455,
      0.20707983565770627,
      0.20378982194679604,
      0.20055164914746726,
      0.19736436917065592,
      0.1942270891070365,
      0.19113895681150078,
      0.1880991516105508,
      0.18510687801962547,
      0.18216136163303395,
      0.17926184597610006,
      0.17640759071637402,
      0.17359787022214151,
      0.1708319725025714,
      0.16810919846234518,
      0.16542886150675792,
      0.162790286899561,
      0.16019281137975921,
      0.15763578293519878,
      0.1551185607713566,
      0.15264051462249195,
      0.15020102475297828,
      0.14779948177051955,
      0.14543528632823566,
      0.14310784895590364,
      0.14081658985566292,
      0.13856093887784512,
      0.1363403352572807,
      0.13415422728797324,
      0.13200207216389598,
      0.12988333621548934,
      0.1277974943335292,
      0.12574402985138156,
      0.12372243461849348,
      0.12173220866720802,
      0.11977286018501941,
      0.11784390524485858,
      0.11594486767484592,
      0.11407527905419755,
      0.11223467846666732,
      0.11042261244363073,
      0.1086386347782629,
      0.10688230640172201,
      0.10515319519356446,
      0.10345087606927143,
      0.10177493076049678,
      0.10012494763067173,
      0.09850052162725305,
      0.09690125409065435,
      0.09532675275037504,
      0.09377663156437623,
      0.09225051070727547,
      0.09074801629961199,
      0.08926878037427252,
      0.08781244079298768,
      0.08637864118951186,
      0.08496703084714449,
      0.08357726451010579,
      0.08220900245892564,
      0.0808619103635793,
      0.07953565915585821,
      0.0782299247993312,
      0.07694438849073905,
      0.07567873642847933,
      0.07443265982805417,
      0.07320585471998682,
      0.07199802184490171,
      0.07080886661282143,
      0.06963809927714538,
      0.06848543446733825,
      0.0673505912850043,
      0.06623329320291499,
      0.06513326819959489,
      0.06405024842043464,
      0.0629839700197267,
      0.06193417360258786,
      0.06090060362742062,
      0.05988300846165629,
      0.058881140563501334,
      0.057894756335577495,
      0.05692361588129278,
      0.05596748308093799,
      0.05502612540155049,
      0.05409931402575209,
      0.053186823730387335,
      0.052288432750030256,
      0.05140392273309892,
      0.05053307878061041,
      0.04967568924342487,
      0.048831545884921626,
      0.048000443732137375,
      0.04718218103131673,
      0.04637655912053577,
      0.04558338229769183,
      0.04480245806594121,
      0.04403359682796142,
      0.04327661197624226,
      0.04253131972441338,
      0.04179753924185194,
      0.04107509251653002,
      0.04036380435275242,
      0.039663502105961604,
      0.03897401585026562,
      0.038295178413549624,
      0.03762682509834391,
      0.0369687937240122,
      0.036320924764589285,
      0.035683061124478374,
      0.035055048133436933,
      0.034436733547932086,
      0.03382796743105102,
      0.03322860219741236,
      0.032638492539778324,
      0.0320574954218386,
      0.03148547007321736,
      0.030922277776910194,
      0.030367782014775933,
      0.029821848303015937,
      0.029284344405129857,
      0.028755140164863274,
      0.028234107334718254,
      0.02772111957110375,
      0.027216052665563616,
      0.026718784154523785,
      0.026229193533976826,
      0.025747162303549013,
      0.02527257365549063,
      0.024805312552258,
      0.02434526580459204,
      0.02389232195300116,
      0.023446371264132456,
      0.023007305822996642,
      0.02257501924420277,
      0.022149406751939063,
      0.021730365284712144,
      0.021317793467427817,
      0.020911591335292364,
      0.02051166041312085,
      0.02011790384504062,
      0.01973022636479607,
      0.01934853404376913,
      0.018972734463501263,
      0.01860273668463862,
      0.018238451113331913,
      0.01787978939815556,
      0.01752666476468067,
      0.017178991688170348,
      0.016836685984619116,
      0.016499664760777338,
      0.01616784640730786,
      0.01584115059693567,
      0.015519498325918708,
      0.01520281161702684,
      0.014891013748232016,
      0.01458402923824505,
      0.014281783830370346,
      0.01398420436040203,
      0.013691218756148977,
      0.013402756117352812,
      0.0131187466093867,
      0.012839121469352843,
      0.012563812927202808,
      0.012292754391745465,
      0.012025880348291468,
      0.011763126197390728,
      0.011504428153974462,
      0.01124972362695716,
      0.010998951030915437,
      0.010752049754546703,
      0.010508959922880602,
      0.0102696225821763,
      0.010033979888702485,
      0.009801974856043434,
      0.00957355125892541,
      0.009348653781740332,
      0.009127228011201615,
      0.00890922044563259,
      0.008694578202225904,
      0.008483249445806734,
      0.008275182962662504,
      0.008070328405157904,
      0.007868636144794505,
      0.007670057312839317,
      0.0074745438949569585,
      0.007282048523752623,
      0.007092524598059376,
      0.00690592624635977,
      0.006722208299635015,
      0.0065413263683764804,
      0.006363236674801839,
      0.006187896116437833,
      0.0060152622878016735,
      0.005845293352068967,
      0.005677948150528574,
      0.005513186149061801,
      0.005350967546351038,
      0.005191253072975037,
      0.0050340040791514076,
      0.0048791824147906004,
      0.004726750636020329,
      0.0045766718708512575,
      0.004428909801726096,
      0.004283428733006991,
      0.004140193348755058,
      0.003999168962580969,
      0.0038603215211837263,
      0.0037236174388821873,
      0.0035890235929555126,
      0.0034565073655454083,
      0.0033260367445802283,
      0.003197580108917956,
      0.003071106352530373,
      0.0029465849021359596,
      0.0028239856609120102,
      0.0027032789603151173,
      0.0025844354944375464,
      0.002467426599539356,
      0.0023522238867926966,
      0.0022387995382026956,
      0.0021271260191447756,
      0.0020171762630941236,
      0.0019089237049610555,
      0.0018023422089433717,
      0.0016974058958885803,
      0.0015940893660437968,
      0.0014923677137037795,
      0.0013922163406634438,
      0.0012936110567212025,
      0.0011965278957392622,
      0.001100943301270553,
      0.0010068342442190788,
      0.0009141779859762464,
      0.0008229520081399212,
      0.0007331342615650441,
      0.0006447029714507391,
      0.0005576366663670894,
      0.00047191425933090276,
      0.00038751515598579547,
      0.00030441888741898426,
      0.00022260529691128377,
      0.00014205454996373324,
      6.274727905948929e-05,
      -1.5335759703912952e-05,
      -9.221336752179747e-05,
      -0.00016790428223066825,
      -0.00024242680012951092,
      -0.0003157989049316966,
      -0.00038803847865952044,
      -0.00045916288805127113,
      -0.0005291893710078888,
      -0.0005981349770344017,
      -0.0006660162904765479,
      -0.0007328498203957637,
      -0.0007986516452302649,
      -0.0008634377432353234,
      -0.000927223724374286,
      -0.0009900250634214812,
      -0.0010518569825649258,
      -0.0011127344283995723,
      -0.001172672124403177,
      -0.0012316845777528473,
      -0.001289786078978571,
      -0.0013469906436520114,
      -0.0014033122137584648,
      -0.0014587644642971409,
      -0.0015133606660001225,
      -0.0015671141384557491,
      -0.001620037882325849,
      -0.0016721445859786493,
      -0.0017234469551884923,
      -0.0017739574385337528,
      -0.0018236882319250497,
      -0.0018726513580340119,
      -0.0019208587073465196,
      -0.0019683219001391814,
      -0.002015052446878641,
      -0.0020610616150538025,
      -0.0021063606517146925,
      -0.002150960452271595,
      -0.00219487180041388,
      -0.0022381052895552823,
      -0.00228067138362313,
      -0.0023225804198419566,
      -0.0023638425222931997,
      -0.002404467635027232,
      -0.0024444655994456843,
      -0.0024838461993252296,
      -0.0025226189382931254,
      -0.002560793166393303,
      -0.002598378059326546,
      -0.002635382743627427
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335127288372655,
      10.094954155780314,
      9.849141313158876,
      9.600341920762423,
      9.350880864676821,
      9.1027774380272,
      8.857716011868735,
      8.617032047313403,
      8.38171275251632,
      8.152413104805266,
      7.92948585415239,
      7.713022139459846,
      7.502898498563854,
      7.298826512950279,
      7.100401717261583,
      6.907147114167407,
      6.7185500260633395,
      6.534094441661866,
      6.3532860353075415,
      6.175669503564818,
      6.000840951022345,
      5.8284465796418035,
      5.658202986019098,
      5.489908649142713,
      5.323438494370029,
      5.158745711617113,
      4.9958602651094886,
      4.834879044456409,
      4.675967716507107,
      4.519374418396402,
      4.365427588392787,
      4.214487370375621,
      4.066936668899407,
      3.9231681704050727,
      3.7835731098283567,
      3.6485204548275223,
      3.5183406742762604,
      3.39331731938737,
      3.27368095367677,
      3.1596055262741225,
      3.0512071137330907,
      2.9485321390447554,
      2.8515542172685024,
      2.7601695241263378,
      2.6742140850727316,
      2.593479024754529,
      2.5177250385421432,
      2.4466981218450785,
      2.3801411619227113,
      2.3177819889586075,
      2.2593182296948933,
      2.2044064408628583,
      2.1526710403181815,
      2.1037550742757793,
      2.057320666100551,
      2.0130596568075103,
      1.9707061439839342,
      1.9300396450527448,
      1.890876734637678,
      1.8530721269285033,
      1.8165072923415375,
      1.7810796697871771,
      1.7466996605094633,
      1.7132942780965286,
      1.6808031405405004,
      1.6491751023671681,
      1.6183658914249492,
      1.5883364439760863,
      1.5590517249445053,
      1.530479887661396,
      1.5025916694340071,
      1.4753581410161916,
      1.448750991122201,
      1.422745261976263,
      1.3973185301967364,
      1.372450487975263,
      1.348122813378968,
      1.3243180869068751,
      1.3010212601340496,
      1.2782184609137053,
      1.2558956561968506,
      1.2340408406520285,
      1.2126429936709235,
      1.191690366410112,
      1.1711709216362634,
      1.1510726109330651,
      1.1313839439303999,
      1.112094594088428,
      1.0931945203052589,
      1.074674069343218,
      1.056523535938802,
      1.038733227720495,
      1.0212935899460263,
      1.0041952805981587,
      0.9874292147760819,
      0.9709865881640917,
      0.9548588867798772,
      0.9390378890021082,
      0.9235156615788593,
      0.9082845525696801,
      0.8933371819670817,
      0.8786664328649572,
      0.8642654400781702,
      0.8501275800716209,
      0.8362464605541509,
      0.8226159099658426,
      0.8092299680936711,
      0.7960828768062441,
      0.7831690713413801,
      0.7704831712486427,
      0.7580199723996176,
      0.7457744396889614,
      0.7337416996418464,
      0.7219170332546014,
      0.710295869415174,
      0.6988737791463716,
      0.687646468722648,
      0.676609774996474,
      0.6657596597829649,
      0.6550922172900923,
      0.6446036875704183,
      0.6342904125474274,
      0.624148796387442,
      0.6141752904545411,
      0.6043664591376985,
      0.594719158242861,
      0.5852306716588805,
      0.5758982544729017,
      0.5667191015193388,
      0.5576903948623497,
      0.548809334008894,
      0.5400731537583177,
      0.5314791359566435,
      0.5230246159836203,
      0.5147069857254138,
      0.5065236952557791,
      0.498472253281721,
      0.490550226276849,
      0.4827552373907775,
      0.47508496576272324,
      0.46753714473084707,
      0.4601095601714109,
      0.4528000490323657,
      0.44560649791972523,
      0.43852725698092165,
      0.4315611526320649,
      0.42470678924030475,
      0.4179625775704397,
      0.41132681894296425,
      0.4047977587216072,
      0.3983736202900596,
      0.3920526268975151,
      0.3858330152253104,
      0.37971304299585745,
      0.37369111936659044,
      0.367765882986715,
      0.3619359148528024,
      0.3561997303419544,
      0.35055581414224835,
      0.34500264259305885,
      0.33953869787284585,
      0.3341624766114889,
      0.32887249760598586,
      0.32366740998900456,
      0.31854593238100337,
      0.3135066354995014,
      0.3085478301344411,
      0.30366770644407204,
      0.29886449917153607,
      0.2941366535711805,
      0.28948275525674216,
      0.28490147456748816,
      0.2803915451085956,
      0.27595174931730054,
      0.27158090907309124,
      0.2672778791082834,
      0.2630415424845307,
      0.258870807538245,
      0.25476460576335735,
      0.2507219099675136,
      0.2467420437458255,
      0.24282446668616206,
      0.2389684791662154,
      0.23517328346192073,
      0.23143802295205712,
      0.2277618078656956,
      0.2241437324930473,
      0.2205828861771424,
      0.21707836043245912,
      0.21362925377141156,
      0.21023467444876662,
      0.20689374242152597,
      0.20360557972405355,
      0.20036924074371368,
      0.19718377921904218,
      0.19404830323079736,
      0.19096196147686123,
      0.18792393394381418,
      0.18493342549863226,
      0.18198966177895856,
      0.1790918866684127,
      0.17623935990987416,
      0.1734313558803107,
      0.17066716252341288,
      0.1679460808260448,
      0.16526742414336892,
      0.16263051771463824,
      0.1600346983364382,
      0.15747931406616753,
      0.1549637240630214,
      0.15248729807687744,
      0.15004941639153663,
      0.14764946954231484,
      0.14528685830352384,
      0.14296099320803043,
      0.14067129440619064,
      0.13841719170452116,
      0.13619812441604429,
      0.13401354081842673,
      0.1318628982235923,
      0.129745662953307,
      0.127661309857974,
      0.12560932238311073,
      0.12358919238189961,
      0.12160041989004561,
      0.11964251305945849,
      0.11771498797091133,
      0.11581736855424798,
      0.11394918640649337,
      0.11210998063404469,
      0.1102992978655592,
      0.1085166918754339,
      0.10676172364426349,
      0.10503396117557472,
      0.10333297940535544,
      0.10165836003957528,
      0.10000969148400571,
      0.0983865686817379,
      0.09678859306222545,
      0.09521537240356232,
      0.09366652069778146,
      0.09214165816408598,
      0.09064041094031554,
      0.08916241109343089,
      0.08770729659352512,
      0.08627471119051373,
      0.08486430415189965,
      0.08347573026801594,
      0.08210864993702877,
      0.08076272880221572,
      0.07943763776387183,
      0.07813305291772521,
      0.07684865566154957,
      0.0755841322571874,
      0.07433917388455577,
      0.07311347653476787,
      0.07190674109562845,
      0.07071867311771507,
      0.06954898270862704,
      0.06839738466960679,
      0.06726359813397087,
      0.06614734658719396,
      0.06504835799173936,
      0.06396636465834905,
      0.06290110290704895,
      0.06185231329028319,
      0.06081974039585604,
      0.0598031326487239,
      0.05880224268076573,
      0.05781682687602628,
      0.05684664530222719,
      0.055891461942543075,
      0.054951044359538244,
      0.05402516379868727,
      0.053113595096155514,
      0.052216116456409147,
      0.05133250964674053,
      0.050462559813730004,
      0.04960605551290382,
      0.0487627885604509,
      0.04793255405333097,
      0.047115150114935535,
      0.04631037811071271,
      0.04551804256400959,
      0.04473795105231818,
      0.04396991406745328,
      0.04321374500424704,
      0.04246926027181734,
      0.04173627895171014,
      0.04101462312501328,
      0.0403041175774368,
      0.03960458988104363,
      0.03891587013318969,
      0.03823779115051308,
      0.03757018833932125,
      0.036912899652389905,
      0.03626576566059568,
      0.03562862928102011,
      0.03500133582943866,
      0.03438373312633261,
      0.03377567129461426,
      0.0331770028490893,
      0.03258758260446064,
      0.032007267560298244,
      0.03143591698540789,
      0.030873392167170607,
      0.030319556684281202,
      0.029774276293657653,
      0.029237418749489617,
      0.028708853846514684,
      0.02818845341351285,
      0.02767609116867402,
      0.02717164293230323,
      0.026674986420865104,
      0.026186001214470532,
      0.025704568724710997,
      0.02523057230979946,
      0.02476389695185694,
      0.024304429519489225,
      0.023852058630550593,
      0.02340667457860446,
      0.022968169451033537,
      0.022536437069121045,
      0.022111372725080302,
      0.021692873427515146,
      0.021280837650717043,
      0.02087516554167135,
      0.020475758732424118,
      0.020082520457424556,
      0.019695355441851126,
      0.019314169865557205,
      0.01893887130725834,
      0.018569368846792486,
      0.01820557298889147,
      0.017847395522484804,
      0.017494749620256666,
      0.017147549905655275,
      0.01680571229640827,
      0.016469153878554472,
      0.016137793071384094,
      0.01581154957459042,
      0.015490344403779818,
      0.015174099669625072,
      0.014862738826115513,
      0.014556186414933676,
      0.014254368081212616,
      0.013957210721103475,
      0.013664642354221011,
      0.0133765921847388,
      0.013092990400197685,
      0.012813768317588105,
      0.012538858228511559,
      0.01226819359163939,
      0.01200170873356515,
      0.011739339182876394,
      0.011481021366359978,
      0.011226692671347694,
      0.010976291487177287,
      0.010729757256199639,
      0.010487030189238068,
      0.010248051401612005,
      0.010012763038276027,
      0.009781108180608762,
      0.009553030654829264,
      0.009328475205991187,
      0.009107387484828167,
      0.00888971387892842,
      0.008675401696955484,
      0.008464399012630528,
      0.008256654791898702,
      0.0080521186988909,
      0.0078507411529374,
      0.007652473350287058,
      0.007457267250823655,
      0.007265075535792058,
      0.0070758516383724965,
      0.006889549745208788,
      0.006706124846068448,
      0.006525532435955551,
      0.006347728798607669,
      0.006172670853999604,
      0.006000316154826933,
      0.005830622980466887,
      0.005663550243230429,
      0.00549905753720104,
      0.0053371049668710846,
      0.0051776533530822405,
      0.005020664047473263,
      0.004866099003482246,
      0.004713920703235248,
      0.004564092360244098,
      0.004416577654110862,
      0.0042713409696444864,
      0.004128347091648007,
      0.003987561372236039,
      0.0038489495817453268,
      0.0037124782836362416,
      0.003578114435806472,
      0.0034458254073555326,
      0.0033155791621612817,
      0.0031873442348400362,
      0.003061089486415652,
      0.002936784319250726,
      0.0028143986650053456,
      0.002693902936743986,
      0.0025752679571502996,
      0.002458464945800236,
      0.002343465533369378,
      0.002230241955742633,
      0.0021187668240915895,
      0.0020090131254414155,
      0.0019009542567655887,
      0.0017945640347481946,
      0.0016898167840735832,
      0.0015866870647765756,
      0.0014851499095125155,
      0.0013851807256233984,
      0.0012867552302886572,
      0.0011898496734640196,
      0.0010944404134434523,
      0.0010005044543778033,
      0.0009080190438363635,
      0.0008169617426809951,
      0.0007273105532213551,
      0.0006390437947209669,
      0.0005521399802447864,
      0.00046657806284234834,
      0.00038233739755720526,
      0.00029939761591088097,
      0.00021773863476987532,
      0.00013734069230261016,
      5.8184270321608506e-05,
      -1.974981718739275e-05,
      -9.648041635812273e-05,
      -0.0001720261076325873,
      -0.0002464052405936768,
      -0.00031963587229351885,
      -0.0003917356599995857,
      -0.00046272203873613506,
      -0.0005326122260297954,
      -0.000601423143374532,
      -0.000669171514372835,
      -0.0007358737204238091,
      -0.0008015458778459072,
      -0.0008662039265687148,
      -0.000929863578122912,
      -0.0009925401293152413,
      -0.001054248776724919,
      -0.0011150045110401587,
      -0.0011748220676970121,
      -0.001233715889333828,
      -0.0012917003287499962,
      -0.001348789457204057,
      -0.0014049969797253114,
      -0.0014603365560032033,
      -0.0015148215806438238,
      -0.0015684652865977863,
      -0.0016212806825168507,
      -0.001673280508470181,
      -0.0017244773560221155,
      -0.0017748835583834394,
      -0.0018245113472700972,
      -0.001873372792658484,
      -0.0019214797293193259,
      -0.0019688437777686703,
      -0.0020154763517683185,
      -0.0020613887859257363,
      -0.002106592227358754,
      -0.0021510977050305403,
      -0.0021949159312695315,
      -0.00223805745835536,
      -0.0022805327580597153,
      -0.0023223521737874594,
      -0.002363525821226558,
      -0.0024040637105720167,
      -0.002443975709826634,
      -0.002483271297028221,
      -0.0025219599919908704,
      -0.002560051234583902,
      -0.002597554288159739,
      -0.0026344782760860433
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335123858380582,
      10.094941686534066,
      9.849113970109967,
      9.60029551588881,
      9.35081249801071,
      9.102685231677956,
      8.857598872294567,
      8.616889454523648,
      8.381544582542645,
      8.152219481271796,
      7.929267029328171,
      7.712778410127982,
      7.502630211173235,
      7.298534081876497,
      7.100085466269546,
      6.906807307696147,
      6.718186907724965,
      6.533708272690878,
      6.352877183250407,
      6.175238446357147,
      6.00038839854639,
      5.827973471367818,
      5.657710442771018,
      5.489398010226565,
      5.322911352133581,
      5.158203904411746,
      4.995305758770163,
      4.83431407680054,
      4.675394790451195,
      4.518796773614463,
      4.364848733979235,
      4.213910799738996,
      4.0663658221429975,
      3.922606437068951,
      3.783023835044138,
      3.6479866955840454,
      3.517825150983917,
      3.392822376114032,
      3.2732085317668003,
      3.159157153276901,
      3.0507839044715217,
      2.9481346660911183,
      2.8511824890032416,
      2.7598229424146625,
      2.6738914560306672,
      2.593178631466975,
      2.5174450121043734,
      2.4464365227675717,
      2.379895897387381,
      2.3175508699269813,
      2.2590990988644677,
      2.2041967342860365,
      2.15246825909333,
      2.103556995829546,
      2.057125270611895,
      2.0128650595478548,
      1.9705108983717974,
      1.9298426781831302,
      1.8906772741182207,
      1.8528696267038636,
      1.816301370320113,
      1.7808700269829654,
      1.7464860920989012,
      1.7130766694897566,
      1.6805814404567614,
      1.6489493042579997,
      1.6181360198279502,
      1.5881025445530532,
      1.5588138577107806,
      1.5302381222448904,
      1.5023460811978575,
      1.4751088393275933,
      1.4484981008345403,
      1.4224889130617853,
      1.397058835685424,
      1.3721875557657852,
      1.3478567329125355,
      1.3240490198903012,
      1.3007494716256625,
      1.2779441493072343,
      1.2556190812511008,
      1.2337623784424487,
      1.2123629093304151,
      1.191408852024742,
      1.1708881205547916,
      1.1507886342090656,
      1.1310989007799759,
      1.1118085803924207,
      1.0929076247596134,
      1.0743863690743782,
      1.0562350965349803,
      1.0384441068561792,
      1.0210038395681316,
      1.003904948897551,
      0.9871383473856892,
      0.9706952285852675,
      0.9545670770037331,
      0.9387456698177067,
      0.9232230728738522,
      0.9079916333689075,
      0.8930439710743815,
      0.8783729682775817,
      0.8639717592073247,
      0.8498337195995389,
      0.835952456588639,
      0.822321798085329,
      0.8089357835372919,
      0.7957886543005948,
      0.7828748448178828,
      0.7701889741888777,
      0.7577258378925241,
      0.7454804003033932,
      0.7334477870622763,
      0.7216232787219276,
      0.7100023039058309,
      0.6985804328324889,
      0.6873533714668433,
      0.6763169559741747,
      0.6654671475552213,
      0.6548000507061862,
      0.644311905528959,
      0.6339990490469469,
      0.6238578806949904,
      0.6138848495680073,
      0.6040765191163163,
      0.5944298428415488,
      0.5849421086232748,
      0.5756105322774488,
      0.5664322829962009,
      0.5574045259871594,
      0.5485244494472886,
      0.5397892810225394,
      0.5311962977017426,
      0.5227428311121111,
      0.514426271135562,
      0.5062440662039915,
      0.49819372388703326,
      0.4902728097366962,
      0.48247894618839804,
      0.4748098118675079,
      0.4672631395375059,
      0.4598367145092038,
      0.452528373447249,
      0.44533600256985484,
      0.4382580410310674,
      0.43129331852573366,
      0.4244404032925928,
      0.4176976828722912,
      0.41106344360133024,
      0.40453592106641634,
      0.39811333226215057,
      0.39179389618875227,
      0.3855758465858745,
      0.37945743957846,
      0.37343710858685336,
      0.36751349236987774,
      0.3616851611682404,
      0.3559506229625334,
      0.35030835795409426,
      0.3447568395376144,
      0.33929454775016993,
      0.33391997785969707,
      0.3286316537059045,
      0.3234282320765716,
      0.31830842544003796,
      0.3132708611932362,
      0.30831389091687905,
      0.30343566715157655,
      0.2986344000964707,
      0.2939085195040283,
      0.28925659939183385,
      0.2846773023895095,
      0.28016935706519697,
      0.27573154241448317,
      0.27136267807452064,
      0.2670616172277184,
      0.2628272419820411,
      0.2586584600049841,
      0.25455420217328717,
      0.25051344974078027,
      0.24653553802712305,
      0.24261991881926565,
      0.23876588733085294,
      0.23497264230752712,
      0.23123932479682113,
      0.22756504358009713,
      0.22394889194410336,
      0.22038995851483645,
      0.21688733441029184,
      0.2134401177969609,
      0.2100474166700459,
      0.20670835083622402,
      0.20342204018973395,
      0.20018753609467163,
      0.19700389403491975,
      0.1938702233296712,
      0.1907856734251458,
      0.18774942482288642,
      0.18476068272320798,
      0.1818186730687357,
      0.17892263958716695,
      0.17607184223057218,
      0.17326555543440772,
      0.17050306724110326,
      0.1677836787249032,
      0.16510670319593831,
      0.16247146589319794,
      0.15987730360014452,
      0.15732356441733011,
      0.1548096074120471,
      0.15233480239915798,
      0.14989852957856525,
      0.14750017960822975,
      0.14513915315890563,
      0.1428148607957862,
      0.1405267228623626,
      0.13827416909942322,
      0.13605663877487323,
      0.13387358016025613,
      0.1317244506572179,
      0.12960871642936586,
      0.12752585245488907,
      0.1254753422174964,
      0.12345667763343803,
      0.1214693587626664,
      0.1195128937549649,
      0.11758679871949766,
      0.11569059774053893,
      0.11382382235214925,
      0.11198601162814639,
      0.11017671217540156,
      0.10839547794154387,
      0.1066418698750259,
      0.10491545604042987,
      0.1032158115029148,
      0.10154251791755574,
      0.09989516374507125,
      0.09827334400695482,
      0.09667666024077654,
      0.09510472015922508,
      0.09355713778221521,
      0.0920335333608727,
      0.0905335331835816,
      0.08905676932608446,
      0.08760287984802109,
      0.08617150836743297,
      0.08476230432323799,
      0.08337492261471766,
      0.08200902355985777,
      0.08066427289158086,
      0.07934034165215592,
      0.07803690608442605,
      0.07675364743663851,
      0.07549025198191656,
      0.07424641111356162,
      0.07302182089840976,
      0.07181618218502384,
      0.07062920057937398,
      0.06946058632637106,
      0.06831005424356071,
      0.06717732358532845,
      0.06606211800610554,
      0.06496416538378726,
      0.06388319806892086,
      0.06281895241545189,
      0.061771169058075975,
      0.06073959262623855,
      0.05972397179118603,
      0.05872405911153668,
      0.05773961086769168,
      0.056770387559596514,
      0.055816152994341686,
      0.054876674830829426,
      0.05395172427320091,
      0.05304107625841852,
      0.0521445091673286,
      0.05126180480988747,
      0.05039274848359144,
      0.049537128758853494,
      0.048694737445196284,
      0.04786536973514745,
      0.04704882386459757,
      0.04624490122053625,
      0.045453406330206676,
      0.044674146970611325,
      0.0439069335772848,
      0.04315157958637827,
      0.042407901532954435,
      0.04167571869711199,
      0.040954853129432395,
      0.040245129693475,
      0.039546375867383896,
      0.03885842192179739,
      0.03818110078659884,
      0.03751424794115666,
      0.036857701358478386,
      0.03621130161480858,
      0.03557489174532983,
      0.03494831724931918,
      0.03433142591366114,
      0.033724067906326725,
      0.03312609584690047,
      0.032537364543291744,
      0.03195773104204055,
      0.031387054610903374,
      0.030825196825629328,
      0.030272021283634383,
      0.02972739369490553,
      0.029191181853453974,
      0.028663255635911572,
      0.028143486995618867,
      0.02763174981866027,
      0.027127919863087206,
      0.026631874884151713,
      0.02614349455057853,
      0.025662660349305526,
      0.025189255561031177,
      0.024723165318764225,
      0.024264276597466765,
      0.023812478089758227,
      0.02336766014606371,
      0.022929714822136616,
      0.022498535953026373,
      0.022074018966517762,
      0.02165606095878054,
      0.02124456049503255,
      0.02083941771655103,
      0.02044053435345945,
      0.02004781369010411,
      0.01966116047210531,
      0.019280480934342675,
      0.018905682802511013,
      0.018536675084208414,
      0.018173368240636572,
      0.017815674312813546,
      0.01746350659599513,
      0.017116779630725307,
      0.016775409415033492,
      0.01643931312598516,
      0.01610840920237113,
      0.015782617381300854,
      0.01546185868229355,
      0.015146055371533188,
      0.014835130962262185,
      0.014529010016740321,
      0.01422761814326345,
      0.013930882404072559,
      0.013638730895854266,
      0.013351092715811362,
      0.013067898173604008,
      0.012789078517939733,
      0.012514566195007256,
      0.012244294697953718,
      0.011978198446104768,
      0.011716212909332965,
      0.011458274634958809,
      0.011204321024243515,
      0.01095429056402068,
      0.010708122655283574,
      0.010465757731772543,
      0.010227136962529521,
      0.009992202504809502,
      0.009760897359758927,
      0.009533165435029231,
      0.009308951547330737,
      0.00908820130146306,
      0.008870861143797369,
      0.008656878426032478,
      0.008446201312923812,
      0.00823877884621153,
      0.008034560617240125,
      0.007833497199086792,
      0.0076355397934472135,
      0.0074406404018248235,
      0.007248751770806112,
      0.007059827378288392,
      0.00687382148628499,
      0.006690688967811854,
      0.006510385492506325,
      0.0063328673587875785,
      0.006158091564253813,
      0.005986015789571386,
      0.005816598213180834,
      0.0056497976907534135,
      0.005485573797276629,
      0.005323886833828021,
      0.005164697518897366,
      0.0050079673242488035,
      0.004853658349001892,
      0.004701733107240593,
      0.004552154820058034,
      0.0044048871881962074,
      0.004259894465944079,
      0.004117141505398548,
      0.003976593669377044,
      0.003838217006979072,
      0.003701977980519519,
      0.0035678435247269847,
      0.0034357811840513984,
      0.0033057589917114293,
      0.003177745375982296,
      0.0030517091952374973,
      0.0029276200102333317,
      0.0028054476654514092,
      0.0026851626353378076,
      0.002566735761859462,
      0.0024501383310288854,
      0.0023353420428216384,
      0.002222319027307976,
      0.002111041932362203,
      0.002001483848247975,
      0.0018936181892828712,
      0.0017874186847076053,
      0.0016828596509282272,
      0.001579915890798815,
      0.0014785625754192933,
      0.0013787750005129099,
      0.0012805289220273442,
      0.0011838004545250377,
      0.0010885661620068648,
      0.0009948029402106963,
      0.0009024881042301931,
      0.0008115992738627906,
      0.0007221145340600077,
      0.0006340121133489917,
      0.0005472706737075999,
      0.0004618692140987176,
      0.00037778700070651393,
      0.0002950036764796835,
      0.00021349916833871284,
      0.00013325359567254472,
      5.424763141433645e-05,
      -2.3537854003989e-05,
      -0.00010012167676660235,
      -0.00017552250275457897,
      -0.00024975853251338255,
      -0.0003228478210255232,
      -0.00039480810041453554,
      -0.0004656567668706841,
      -0.0005354109108606916,
      -0.0006040874604701911,
      -0.0006717031333199479,
      -0.0007382742478151686,
      -0.000803816939943093,
      -0.0008683471628701166,
      -0.0009318805652889597,
      -0.0009944325272398474,
      -0.0010560183033035144,
      -0.001116652840644778,
      -0.001176350742379246,
      -0.001235126471116207,
      -0.0012929942148977515,
      -0.0013499679558873238,
      -0.0014060615758416696,
      -0.0014612887071646901,
      -0.0015156626656240276,
      -0.0015691966933166867,
      -0.0016219037309744024,
      -0.0016737965449248543,
      -0.0017248877262449475,
      -0.0017751897404591776,
      -0.0018247146837919903,
      -0.00187347452141529,
      -0.0019214811852715837,
      -0.0019687461948591613,
      -0.0020152810777175844,
      -0.002061097096523241,
      -0.0021062054015526196,
      -0.0021506169727106947,
      -0.002194342408051186,
      -0.0022373923789813827,
      -0.002279777366816837,
      -0.002321507640272832,
      -0.002362593295830596,
      -0.0024030442909323004,
      -0.0024428703813544235,
      -0.0024820812740388495,
      -0.002520686455243867,
      -0.002558695265929844,
      -0.0025961169384296043,
      -0.002632960518334777
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335120413130253,
      10.09492916825826,
      9.84908654072839,
      9.600248981854978,
      9.350743954824267,
      9.102592800023382,
      8.857481456171072,
      8.61674653489365,
      8.381376035366095,
      8.15202542801492,
      7.929047723774878,
      7.712534150000733,
      7.502361364420692,
      7.298241059892704,
      7.099768591390301,
      6.906466842936574,
      6.717823097978889,
      6.533321378885959,
      6.352467572534897,
      6.174806596406218,
      5.999935021122602,
      5.827499509071024,
      5.657217019153461,
      5.4888864666842005,
      5.32238328246736,
      5.157661148686263,
      4.994750284904387,
      4.833748124747694,
      4.674820864715674,
      4.518218116115017,
      4.364268858094387,
      4.213333201270736,
      4.065793943246075,
      3.9220436710417887,
      3.7824735310667545,
      3.6474519136676955,
      3.517308612433012,
      3.3923264254189243,
      3.272735112097492,
      3.1587077938358115,
      3.0503597204037236,
      2.947736231067604,
      2.850809814022429,
      2.759475432946641,
      2.6735679194095217,
      2.5928773512793066,
      2.517164120602778,
      2.446174081917602,
      2.3796498149296443,
      2.317318957469366,
      2.2588791999720472,
      2.203986283557481,
      2.1522647580941405,
      2.103358221645772,
      2.0569292048669436,
      2.0126698196269492,
      1.9703150379773156,
      1.9296451238385968,
      1.8904772538190782,
      1.8526665948613816,
      1.8160949452181718,
      1.7806599085811698,
      1.7462720748789615,
      1.7128586380783901,
      1.6803593430653772,
      1.6487231336055426,
      1.6179057998074784,
      1.58786832002298,
      1.5585756881889496,
      1.5299960766654592,
      1.5021002344469925,
      1.474859299399056,
      1.4482449913343127,
      1.4222323633031382,
      1.396798957920101,
      1.3719244652387692,
      1.3475905223900668,
      1.3237798456600327,
      1.3004775955702625,
      1.2776697680762905,
      1.255342453529902,
      1.2334838792450045,
      1.2120828027426898,
      1.1911273292544167,
      1.1706053245479853,
      1.150504674924039,
      1.1308138869175581,
      1.1115226078484541,
      1.0926207824208012,
      1.0740987347416022,
      1.055946735430529,
      1.0381550761653746,
      1.020714190931639,
      1.0036147302816392,
      0.9868476037722795,
      0.9704040030595315,
      0.9542754112230317,
      0.9384536044216835,
      0.9229306476838037,
      0.9076988874272559,
      0.8927509427275093,
      0.8780796952514394,
      0.8636782785226915,
      0.8495400680391696,
      0.8356586703438543,
      0.8220279126490315,
      0.8086418336399313,
      0.7954946742449895,
      0.7825808684247291,
      0.7698950346328818,
      0.7574319678614791,
      0.7451866318442232,
      0.7331541519275365,
      0.7213298081750994,
      0.7097090285703397,
      0.6982873825829604,
      0.6870605758210278,
      0.6760244440965083,
      0.6651749508472851,
      0.654508209267737,
      0.6440204567011089,
      0.6337080259951137,
      0.6235673121154045,
      0.6135947618951997,
      0.6037869547888102,
      0.594140933510001,
      0.5846539734781947,
      0.5753232541450043,
      0.566145920855516,
      0.5571191233113527,
      0.5482400393599324,
      0.5395058899662001,
      0.5309139474760372,
      0.5224615406113716,
      0.5141460569014779,
      0.5059649432954678,
      0.4979157059515071,
      0.4899959095546586,
      0.48220317618490993,
      0.47453518377754017,
      0.46698966454792057,
      0.45956440341945237,
      0.4522572365445177,
      0.44506605911115266,
      0.4379893941253636,
      0.43102606537046545,
      0.42417460689103653,
      0.4174333842140963,
      0.41080066920803576,
      0.40427468824365975,
      0.3978536522545201,
      0.3915357763177895,
      0.3853192914283087,
      0.37920245187665474,
      0.37318371571882725,
      0.3672617217630109,
      0.36143502922944054,
      0.35570213927591404,
      0.35006152727520834,
      0.3445116634495817,
      0.33905102592339054,
      0.3336781085634694,
      0.32839144065779025,
      0.3231896861641962,
      0.31807155174055884,
      0.3130357066720192,
      0.30808056384176946,
      0.30320423589326595,
      0.29840490736533143,
      0.29368099174485146,
      0.28903105066942447,
      0.2844537387621479,
      0.2799477792078684,
      0.2755119477244299,
      0.27114506154088613,
      0.2668459721120954,
      0.26261356052896856,
      0.2584467336758158,
      0.2543444220537045,
      0.25030561504439375,
      0.24632965961503675,
      0.24241599985122916,
      0.2385639259013274,
      0.2347726331171715,
      0.2310412602371768,
      0.22736891456671895,
      0.22375468833515502,
      0.22019766946098673,
      0.21669694849714138,
      0.2132516232730109,
      0.20986080167212126,
      0.2065236034226489,
      0.2032391461084158,
      0.20000647803971852,
      0.1968246565546308,
      0.1936927922174602,
      0.19061003517866065,
      0.187575566435466,
      0.1845885915910377,
      0.18164833665683117,
      0.17875404566747205,
      0.17590497854759393,
      0.17310040982860814,
      0.17033962761840693,
      0.16762193288655947,
      0.16494663901045564,
      0.16231307131528713,
      0.15972056660039458,
      0.15716847296200318,
      0.15465614944899478,
      0.15218296577281604,
      0.14974830223049634,
      0.14735154954849167,
      0.144992108303497,
      0.14266938914684119,
      0.1403828123637464,
      0.138131807765336,
      0.13591581450644272,
      0.13373428096859252,
      0.1315866645555268,
      0.12947243150307106,
      0.1273910568168045,
      0.12534202407767442,
      0.12332482499974468,
      0.12133895977033732,
      0.1193839366208047,
      0.11745927170906752,
      0.11556448903954458,
      0.11369912021734682,
      0.11186270436641794,
      0.11005478822464011,
      0.10827492559541978,
      0.10652267761789473,
      0.10479761236734451,
      0.10309930478384961,
      0.10142733676388284,
      0.09978129679769511,
      0.09816077990252144,
      0.09656538764104582,
      0.09499472782523462,
      0.09344841455943158,
      0.0919260680627727,
      0.09042731451304552,
      0.08895178618454186,
      0.08749912119316186,
      0.08606896327505532,
      0.0846609618166848,
      0.08327477179670176,
      0.0819100536199709,
      0.08056647307600369,
      0.079243701268672,
      0.07794141453286536,
      0.07665929410265507,
      0.07539702633775029,
      0.07415430263727497,
      0.07293081920019992,
      0.07172627687602257,
      0.07054038139185949,
      0.06937284311343156,
      0.06822337679469906,
      0.06709170169939323,
      0.0659775414718691,
      0.06488062429127098,
      0.06380068247284701,
      0.06273745250128077,
      0.06169067500936811,
      0.060660094657530035,
      0.059645460161466386,
      0.058646524103148134,
      0.05766304301356086,
      0.05669477719005819,
      0.055741490699844645,
      0.05480295126683593,
      0.05387893026455244,
      0.052969202566824476,
      0.052073546573758484,
      0.05119174422545402,
      0.05032358087028181,
      0.04946884504069621,
      0.048627328689618714,
      0.04779882714085716,
      0.046983138702188114,
      0.04618006482439069,
      0.04538941006198879,
      0.04461098211251191,
      0.043844591702620374,
      0.04309005228822099,
      0.04234718032499461,
      0.04161579527979746,
      0.040895719240168486,
      0.04018677708728993,
      0.03948879649828017,
      0.038801607736354764,
      0.03812504382983006,
      0.03745894019817251,
      0.03680313494932001,
      0.036157468770161565,
      0.035521784789174254,
      0.03489592842263537,
      0.03427974760847992,
      0.03367309254383318,
      0.0330758159433047,
      0.03248777278250229,
      0.0319088201581518,
      0.0313388173600073,
      0.0307776259128489,
      0.030225109519481624,
      0.029681133922487873,
      0.02914556699699726,
      0.028618278832215103,
      0.02809914137656396,
      0.027588028452314988,
      0.02708481599409854,
      0.02658938168460093,
      0.026101605316089654,
      0.025621368402832655,
      0.025148554392098524,
      0.024683048519946727,
      0.02422473771848853,
      0.02377351075238956,
      0.023329257974361063,
      0.022891871691303557,
      0.022461245666349737,
      0.022037275377578578,
      0.021619857939368412,
      0.02120889194774665,
      0.020804277713111618,
      0.020405917016297143,
      0.020013713226426817,
      0.019627571106812153,
      0.019247396893716937,
      0.018873098418834496,
      0.01850458478644758,
      0.01814176653243376,
      0.017784555636554226,
      0.01743286539376624,
      0.017086610513323705,
      0.01674570700728911,
      0.016410071969419734,
      0.016079624013732353,
      0.01575428305081774,
      0.015433969986575063,
      0.0151186072012131,
      0.014808118314674932,
      0.01450242781725079,
      0.014201461638941223,
      0.01390514670609995,
      0.0136134111447934,
      0.013326184100763016,
      0.013043395957955072,
      0.012764978033353708,
      0.012490862810416658,
      0.012220983871523934,
      0.011955275630975676,
      0.011693673618566214,
      0.01143611439202043,
      0.011182535447323599,
      0.010932875277303886,
      0.010687073399726498,
      0.010445070101124321,
      0.010206806596077497,
      0.009972225171930471,
      0.0097412689496565,
      0.00951388188987847,
      0.009290008858912884,
      0.009069595533654383,
      0.00885258842996523,
      0.008638934890197437,
      0.008428582939980288,
      0.008221481625221384,
      0.008017580716501924,
      0.007816830830305951,
      0.007619183317760896,
      0.007424590131000068,
      0.007233004149971369,
      0.0070443788892875624,
      0.0068586685448278235,
      0.006675828176718878,
      0.006495813386352325,
      0.006318580460524068,
      0.006144086384167571,
      0.005972288792532915,
      0.005803146052867791,
      0.0056366171392393544,
      0.005472661636939475,
      0.0053112397938035565,
      0.00515231257409604,
      0.004995841307971822,
      0.004841787991529367,
      0.0046901152202324,
      0.004540786290341463,
      0.004393764965436653,
      0.004249015582627955,
      0.0041065031350800705,
      0.003966193109088971,
      0.003828051418805185,
      0.0036920444121923608,
      0.0035581391524169737,
      0.0034263032313878506,
      0.0032965046743337546,
      0.0031687118459557346,
      0.003042893816354521,
      0.0029190200102802042,
      0.0027970604563698027,
      0.0026769855547479028,
      0.0025587662471707076,
      0.0024423738075883545,
      0.0023277800473586593,
      0.0022149571792050545,
      0.0021038777589537966,
      0.001994514870605689,
      0.0018868419949731926,
      0.0017808330965627941,
      0.0016764623622088654,
      0.0015737044816440872,
      0.0014725345670707247,
      0.0013729280172380923,
      0.0012748606626154543,
      0.0011783087852146883,
      0.0010832488978782437,
      0.0009896579640553537,
      0.000897513383721938,
      0.0008067927645126813,
      0.0007174740756181703,
      0.0006295356441176245,
      0.0005429561460421604,
      0.0004577145863851428,
      0.00037379029934598977,
      0.00029116293084026265,
      0.00020981246022199731,
      0.00012971910915248657,
      5.086343559937763e-05,
      -2.6773672455270296e-05,
      -0.00010321098292151444,
      -0.00017846706352548484,
      -0.000252560182659584,
      -0.00032550827951002923,
      -0.00039732912982051526,
      -0.00046804011672927905,
      -0.0005376584008019619,
      -0.000606200911005123,
      -0.0006736842459069368,
      -0.0007401247450635227,
      -0.0008055385278907331,
      -0.0008699414040681481,
      -0.0009333490121042406,
      -0.0009957767915558845,
      -0.0010572398274103548,
      -0.0011177530494467292,
      -0.0011773311823920782,
      -0.0012359886829608848,
      -0.0012937397903520441,
      -0.0013505985122596368,
      -0.0014065785905499051,
      -0.0014616935617137983,
      -0.0015159568036604335,
      -0.0015693814864269759,
      -0.0016219806367236951,
      -0.0016737669089093292,
      -0.0017247530357118463,
      -0.0017749513500652744,
      -0.0018243738527539952,
      -0.0018730325329059856,
      -0.0019209393134346148,
      -0.001968105792447637,
      -0.0020145433204440035,
      -0.002060263255050773,
      -0.0021052766555316217,
      -0.0021495944154197285,
      -0.002193227337123538,
      -0.002236186002281311,
      -0.0022784808581413547,
      -0.0023201220931028544,
      -0.002361119873830387,
      -0.002401484060866245,
      -0.0024412245082152005,
      -0.0024803507900084316,
      -0.002518872454800442,
      -0.002556798820918004,
      -0.0025941391342607246,
      -0.0026309024263481734
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335116961777361,
      10.09491662081054,
      9.849059046257445,
      9.600202340210162,
      9.35067525453282,
      9.102500154966586,
      8.857363765987824,
      8.61660327513322,
      8.381207081516997,
      8.151830904729456,
      7.928827883243,
      7.7122892888624515,
      7.502091890548867,
      7.297947382625008,
      7.099451029692782,
      6.906125656882786,
      6.717458529371754,
      6.532933686555063,
      6.352057121982146,
      6.174373864783264,
      5.999480719334258,
      5.8270245793708835,
      5.656722584626673,
      5.488373869439895,
      5.321854117305983,
      5.157117256608705,
      4.994193634587494,
      4.8331809576548626,
      4.674245688568626,
      4.517638178785155,
      4.3636876779635045,
      4.2127542804800635,
      4.065220729815444,
      3.921479562848835,
      3.781921880782561,
      3.646915785427302,
      3.5167907321897944,
      3.3918291429376413,
      3.272260374217261,
      3.1582571318445583,
      3.0499342455131337,
      2.947336514393884,
      2.8504358688328786,
      2.759126667801967,
      2.6732431453243257,
      2.59257485486799,
      2.5168820363745934,
      2.445910472910326,
      2.3794025897121744,
      2.3170859280848695,
      2.258658210365525,
      2.2037747612395213,
      2.1520602067034993,
      2.1031584091790725,
      2.056732118798272,
      2.0124735819900392,
      1.9701182065305125,
      1.929446627465907,
      1.8902763216198892,
      1.85246268090023,
      1.8158876673150435,
      1.7804489664816827,
      1.7460572628059763,
      1.7126398401616065,
      1.680136507096314,
      1.6484962517665713,
      1.6176748948391055,
      1.5876334358378839,
      1.5583368829641329,
      1.5297534186751318,
      1.5018537983004716,
      1.4746091928981613,
      1.4479913374253202,
      1.4219752899747498,
      1.3965385764575116,
      1.3716608906906131,
      1.347323847440694,
      1.3235102265327459,
      1.3002052931906685,
      1.2773949784694036,
      1.2550654348384067,
      1.2332050063318698,
      1.2118023398368958,
      1.1908454671406106,
      1.170322205237261,
      1.1502204081001137,
      1.1305285807542569,
      1.1112363572608883,
      1.0923336754225164,
      1.0738108483687343,
      1.0556581351152665,
      1.037865818957198,
      1.0204243284497496,
      1.0033243104342051,
      0.9865566718555964,
      0.970112601983126,
      0.9539835826926105,
      0.938161388587763,
      0.9226380839522013,
      0.9074060146006998,
      0.8924577988351583,
      0.8777863177266438,
      0.8633847041188577,
      0.8492463330430927,
      0.8353648104254672,
      0.8217339631612557,
      0.8083478297077806,
      0.7952006502373338,
      0.7822868579263512,
      0.7696010706625993,
      0.7571380831585278,
      0.7448928586894766,
      0.7328605218302744,
      0.7210363521616021,
      0.7094157769816789,
      0.6979943654496237,
      0.6867678224675122,
      0.6757319832717151,
      0.6648828165182591,
      0.6542164425376537,
      0.6437290933633939,
      0.6334170980872874,
      0.6232768476496272,
      0.6133047868845576,
      0.6034975464297013,
      0.5938522390853325,
      0.5843660937689387,
      0.5750362598895821,
      0.5658598632958854,
      0.5568340407535942,
      0.5479559617300411,
      0.5392228411700586,
      0.5306319477857507,
      0.5221806077110474,
      0.5138662065117953,
      0.5056861898376698,
      0.49763806307426445,
      0.4897193900679404,
      0.48192779216419435,
      0.4742609469407948,
      0.46671658604093014,
      0.45929249397652266,
      0.45198650638854676,
      0.4447965647433385,
      0.4377212546490019,
      0.4307593575098968,
      0.42390938057056404,
      0.41716967196999993,
      0.4105384921523952,
      0.40401405992358497,
      0.3975945815901947,
      0.3912782689682958,
      0.3850633510404962,
      0.3789480805849401,
      0.3729309403325817,
      0.36701056935625204,
      0.36118551604421484,
      0.3554542745119668,
      0.3498153156683549,
      0.3442671068124464,
      0.3388081240874396,
      0.333436860006227,
      0.3281518487033304,
      0.32295176167090994,
      0.3178352996999233,
      0.3128011335348653,
      0.30784775944981047,
      0.30297328990459244,
      0.2981758764053051,
      0.29345391144686883,
      0.28880594137624765,
      0.28423061059601035,
      0.2797266354979901,
      0.27529278728726647,
      0.27092788025470316,
      0.26663076402092983,
      0.26240031818659754,
      0.2582354488516152,
      0.25413508596293266,
      0.2500982271959735,
      0.2461242308358319,
      0.24221253310226565,
      0.23836241920595447,
      0.23457308111736194,
      0.23084365531630707,
      0.22717324754242785,
      0.2235609489920991,
      0.22000584688787125,
      0.21650703141945685,
      0.2130635999888752,
      0.20967466022700892,
      0.2063393316420704,
      0.20305672955592974,
      0.1998258994763616,
      0.19664590052884934,
      0.19351584432885807,
      0.19043488187984073,
      0.18740219455619472,
      0.18441698828271022,
      0.1814784894775429,
      0.17858594228573044,
      0.17573860673871913,
      0.17293575739393163,
      0.17017668232354746,
      0.16746068258289457,
      0.1647870716802293,
      0.16215517475992647,
      0.15956432866847717,
      0.1570138814652475,
      0.15450319223630285,
      0.15203163079761003,
      0.14959857736996457,
      0.14720342257465205,
      0.14484556718411307,
      0.14252442178675503,
      0.1402394067145961,
      0.13798995184605914,
      0.1357754963661045,
      0.13359548871910834,
      0.13144938615604262,
      0.1293366550142122,
      0.12725677025407078,
      0.12520921548076755,
      0.1231934825271782,
      0.1212090715074424,
      0.11925549066124126,
      0.11733225622309344,
      0.11543889219609299,
      0.11357493034741133,
      0.11173990984073932,
      0.10993337724838069,
      0.10815488658762744,
      0.10640399895487684,
      0.10468028243127481,
      0.10298331215134957,
      0.10131266993672262,
      0.09966794427042257,
      0.09804873033148831,
      0.09645462963885018,
      0.09488525004093382,
      0.09334020572026717,
      0.09181911699113572,
      0.09032161020064844,
      0.08884731749794088,
      0.08739587697351538,
      0.08596693254540473,
      0.08456013365602259,
      0.08317513534437955,
      0.08181159807096502,
      0.08046918766342308,
      0.0791475752429938,
      0.07784643715723258,
      0.07656545481016717,
      0.07530431463183694,
      0.07406270791265852,
      0.0728403309545701,
      0.07163688478213312,
      0.07045207513155602,
      0.06928561241865211,
      0.0681372114118744,
      0.06700659150037133,
      0.0658934764508105,
      0.06479759432646519,
      0.06371867760647046,
      0.06265646281904735,
      0.06161069071110473,
      0.060581106026203035,
      0.05956745745003612,
      0.05856949764694908,
      0.0575869832666011,
      0.05661967466637125,
      0.05566733600404822,
      0.05472973501380053,
      0.053806643075266974,
      0.05289783518829825,
      0.05200308989758101,
      0.05112218917347239,
      0.05025491837560431,
      0.04940106613366361,
      0.04856042452693002,
      0.047732788818981256,
      0.04691795735020122,
      0.046115731754339244,
      0.04532591668432272,
      0.04454831984266734,
      0.04378275195971582,
      0.04302902664635951,
      0.04228696045830668,
      0.04155637276182854,
      0.04083708575926129,
      0.0401289244589857,
      0.03943171651269657,
      0.03874529230778018,
      0.03806948486647519,
      0.0374041298223851,
      0.036749065364993574,
      0.036104132194438476,
      0.03546917347629645,
      0.03484403485324644,
      0.03422856424415751,
      0.033622611924899015,
      0.033026030500980484,
      0.032438674974684736,
      0.03186040254820368,
      0.031291072613168706,
      0.03073054684429949,
      0.0301786889388881,
      0.029635364733259707,
      0.029100442213089075,
      0.02857379142376752,
      0.028055284420531623,
      0.027544795169131216,
      0.02704219954307533,
      0.026547375372623375,
      0.02606020245688361,
      0.025580562367295313,
      0.025108338652453512,
      0.02464341658598723,
      0.02418568311848337,
      0.023735027167047448,
      0.023291339243796425,
      0.0228545115110123,
      0.022424437804532616,
      0.022001013637758086,
      0.02158413619994336,
      0.02117370430344078,
      0.02076961819740508,
      0.02037177973077054,
      0.01998009233028843,
      0.019594460736878136,
      0.019214791300439252,
      0.018840991956607933,
      0.01847297184695148,
      0.01811064152907745,
      0.017753913046156616,
      0.017402699836638908,
      0.017056916535125744,
      0.016716479114891394,
      0.016381305003826816,
      0.016051312779904757,
      0.015726422310056838,
      0.015406554703247177,
      0.015091632300237438,
      0.01478157860444563,
      0.014476318395645933,
      0.014175777460344915,
      0.013879882879918945,
      0.013588562738095687,
      0.01330174638623776,
      0.013019364229651042,
      0.01274134760129954,
      0.01246762903944521,
      0.012198142086584004,
      0.011932821302436142,
      0.011671602344535152,
      0.011414421715609427,
      0.011161216960074043,
      0.010911926635208173,
      0.010666490260911354,
      0.010424848178010005,
      0.01018694177860494,
      0.009952713136003292,
      0.009722105560190326,
      0.009495062974350852,
      0.009271530280355423,
      0.009051453244156855,
      0.008834778474136128,
      0.00862145347210557,
      0.008411426287520755,
      0.008204645898896488,
      0.008001062140858238,
      0.00780062562171611,
      0.00760328765041355,
      0.007409000427353553,
      0.007217716710474335,
      0.007029390049544813,
      0.006843974782221985,
      0.006661425899145609,
      0.006481699077486275,
      0.006304750595828159,
      0.006130537525290536,
      0.005959017618258373,
      0.005790149250717276,
      0.005623891436989905,
      0.0054602038597738965,
      0.005299046756304213,
      0.00514038099152625,
      0.004984168018798379,
      0.004830369868638949,
      0.004678949228642063,
      0.004529869411462852,
      0.004383094300001858,
      0.004238588231099774,
      0.004096316059070878,
      0.003956243272072397,
      0.003818335818641563,
      0.0036825602602874683,
      0.0035488836209476124,
      0.003417273423221922,
      0.0032876977452221882,
      0.0031601250951885616,
      0.0030345245869251264,
      0.002910865774134627,
      0.002789118670595933,
      0.0026692537026200614,
      0.0025512416502071113,
      0.0024350539075485116,
      0.0023206623581720374,
      0.002208039283569289,
      0.0020971572479074004,
      0.001987989334050225,
      0.0018805090566103313,
      0.0017746902648012887,
      0.0016705073385032073,
      0.0015679348840278186,
      0.0014669480864456948,
      0.001367522452726358,
      0.0012696337794021754,
      0.0011732582992895592,
      0.0010783727153086675,
      0.0009849538865154036,
      0.0008929791378505494,
      0.0008024262730073105,
      0.0007132733854861108,
      0.0006254987152664634,
      0.000539081015353627,
      0.0004539991625382041,
      0.00037023257740038284,
      0.00028776091425997423,
      0.00020656412127432848,
      0.00012662250190762048,
      4.791673910269508e-05,
      -2.9572256781481584e-05,
      -0.00010586329554579595,
      -0.00018097500034147424,
      -0.0002549256897913221,
      -0.0003277332973394032,
      -0.0003994153715930765,
      -0.000469989323398844,
      -0.0005394722778407576,
      -0.0006078810141851921,
      -0.0006752322038394001,
      -0.0007415422591585867,
      -0.0008068273026050263,
      -0.0008711031219122057,
      -0.0009343852701984021,
      -0.0009966891143093166,
      -0.0010580297807418263,
      -0.0011184222275270746,
      -0.001177881099641965,
      -0.0012364207991479854,
      -0.0012940554717475405,
      -0.0013507991767902525,
      -0.0014066657007333837,
      -0.001461668573229287,
      -0.001515821279239113,
      -0.0015691368473715888,
      -0.001621628257626264,
      -0.0016733082248323549,
      -0.001724189197928712,
      -0.0017742835869007298,
      -0.0018236035760247644,
      -0.0018721611718470583,
      -0.001919968122996323,
      -0.001967035998245885,
      -0.0020133762698906444,
      -0.00205900024445495,
      -0.0021039189225807897,
      -0.002148143169421433,
      -0.002191683782730135,
      -0.0022345513189849695,
      -0.0022767561984753733,
      -0.002318308625310598,
      -0.0023592186846405246,
      -0.0023994963252076964,
      -0.0024391512583481693,
      -0.0024781932187229547,
      -0.00251663167818268,
      -0.0025544759147472125,
      -0.002591735131711885,
      -0.0026284183665191137
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335113507474919,
      10.094903903025799,
      9.849031233540352,
      9.600155245479185,
      9.350605981509338,
      9.102406829557326,
      8.85724529839273,
      8.61645915351726,
      8.381037190491483,
      8.151635374700628,
      7.928606975033938,
      7.712043316319345,
      7.501821275676743,
      7.2976525366932,
      7.09913227166201,
      6.905783247579302,
      6.7170927121161,
      6.5325447213254515,
      6.351645362229366,
      6.173939789421977,
      5.999025040431868,
      5.826548239067357,
      5.656226708259711,
      5.487859801012392,
      5.321323453714762,
      5.156571842911012,
      4.993635442728587,
      4.8326122323528775,
      4.673668941115563,
      4.517056660618316,
      4.363104912804464,
      4.212173775462043,
      4.064645937286889,
      3.92091388574825,
      3.7813686766196466,
      3.646378122506934,
      3.516271339423424,
      3.3913303720234294,
      3.2717841738182445,
      3.157805035691085,
      3.049507339324048,
      2.9469353502704605,
      2.8500604698114613,
      2.758776452525383,
      2.6729169324981146,
      2.59227093778482,
      2.5165985542108946,
      2.4456454936044048,
      2.379154025758853,
      2.3168515942198042,
      2.258435952695256,
      2.2035620081052345,
      2.1518544622438065,
      2.1029574143590204,
      2.0565338689402415,
      2.012276205651188,
      1.969920265480226,
      1.929247054378641,
      1.890074347899849,
      1.8522577626098755,
      1.8156794228573572,
      1.7802370948843236,
      1.7458415568460508,
      1.7124201829273171,
      1.679912845296899,
      1.6482685770832346,
      1.6174432295439662,
      1.5873978233676809,
      1.5580973811242012,
      1.5295100945155875,
      1.5016067246684186,
      1.4743584761681603,
      1.4477370994590424,
      1.4217176580770106,
      1.3962776613321253,
      1.3713968068119085,
      1.3470566892722955,
      1.3232401483845748,
      1.2999325546606086,
      1.277119774793612,
      1.2547880238130387,
      1.2329257616995248,
      1.211521524190533,
      1.1905632707946963,
      1.1700387702914126,
      1.1499358444318277,
      1.130242996128334,
      1.1109498466008796,
      1.0920463261026883,
      1.0735227369037048,
      1.0553693263319306,
      1.0375763697261462,
      1.0201342898261043,
      1.003033729327449,
      0.9862655924337471,
      0.9698210670174728,
      0.953691633469402,
      0.9378690656774201,
      0.9223454269030736,
      0.9071130620320567,
      0.8921645884200432,
      0.8774928864211785,
      0.8630910886888622,
      0.848952569515617,
      0.8350709341931954,
      0.8214400092830422,
      0.8080538324889763,
      0.7949066433618234,
      0.7819928750382497,
      0.7693071450254243,
      0.7568442471800189,
      0.7445991442769445,
      0.7325669604838873,
      0.7207429746024057,
      0.709122613457392,
      0.6977014459825792,
      0.686475176484807,
      0.675439639736621,
      0.6645908126778888,
      0.6539248177575091,
      0.6434378823783463,
      0.6331263320944528,
      0.6229865539591058,
      0.6130149908939747,
      0.6032083283927655,
      0.5935637456187878,
      0.5840784248523035,
      0.5747494857544991,
      0.5655740348686122,
      0.5565491961134765,
      0.5476721303334817,
      0.538940047150622,
      0.5303502112982563,
      0.5218999461298901,
      0.5135866355635544,
      0.5054077239339744,
      0.49736071548241645,
      0.4894431734291649,
      0.48165271847005325,
      0.4739870276041728,
      0.4664438321132645,
      0.4590209159771725,
      0.45171611448441273,
      0.4445274151560453,
      0.4374534662582457,
      0.4304930068713368,
      0.4236445174687938,
      0.4169063285500103,
      0.4102766894420636,
      0.40375381159042945,
      0.3973358963967234,
      0.3910211524676264,
      0.3848078065447769,
      0.37869411261444996,
      0.37267857676892474,
      0.3667598359148456,
      0.360936427920482,
      0.3552068402181096,
      0.3495695393923387,
      0.3440229897789717,
      0.3385656656254234,
      0.3331960581860998,
      0.3279127068544912,
      0.3227142906617983,
      0.31759950433351664,
      0.3125670147624191,
      0.3076153984489856,
      0.3027427817584608,
      0.2979472812377876,
      0.2932272669239281,
      0.288581268999662,
      0.28400792124856217,
      0.2795059330898669,
      0.2750740710639616,
      0.2707111463859175,
      0.26641600662867226,
      0.2621875301095977,
      0.25802462190701575,
      0.2539262111509907,
      0.24989130375056823,
      0.2459192696165742,
      0.24200953723276994,
      0.23816138656959832,
      0.23437400616802606,
      0.2306465302635923,
      0.22697806311997462,
      0.22336769486324717,
      0.21981451203247449,
      0.2163176043136625,
      0.21287606885810476,
      0.20948901310578114,
      0.20615555634294833,
      0.20287481184379558,
      0.19964582193034633,
      0.19646764753895346,
      0.1933394015750846,
      0.19026023575269094,
      0.18722933201132316,
      0.18424589655691742,
      0.1813091560338788,
      0.1784183546698011,
      0.17557275254878305,
      0.17277162432068757,
      0.17001425821472219,
      0.16729995526623595,
      0.16462802881720867,
      0.16199780420130264,
      0.15940861823695002,
      0.15685981906189428,
      0.15435076573057932,
      0.15188082795494892,
      0.14944938611552527,
      0.14705583077966536,
      0.14469956264308742,
      0.14237999240344115,
      0.140096540325192,
      0.13784863631546954,
      0.13563571972218932,
      0.1334572388669125,
      0.1313126511450728,
      0.1292014228602264,
      0.12712302900888256,
      0.1250769530723725,
      0.12306268703184971,
      0.1210797310469957,
      0.11912759340803147,
      0.11720579025221756,
      0.11531384563614099,
      0.1134512913656402,
      0.11161766670446828,
      0.10981251832288998,
      0.10803540022620649,
      0.10628587350925892,
      0.1045635063574362,
      0.10286787380369551,
      0.10119855781344553,
      0.09955514699187289,
      0.09793723638365556,
      0.09634442766316492,
      0.0947763287872346,
      0.09323255389841607,
      0.09171272334474694,
      0.0902164635556813,
      0.08874340673485673,
      0.08729319096773597,
      0.0858654602350174,
      0.08445986400121148,
      0.08307605733795961,
      0.081713700879204,
      0.08037246061147549,
      0.07905200763241943,
      0.07775201821060693,
      0.07647217383141884,
      0.07521216105228053,
      0.07397167123579589,
      0.0727504007264987,
      0.0715480505778189,
      0.07036432655401771,
      0.06919893906616126,
      0.06805160314115855,
      0.06692203820395105,
      0.06580996805376242,
      0.06471512082799333,
      0.06363722901664598,
      0.06257602931502691,
      0.06153126238659795,
      0.06050267311804344,
      0.0594900103391899,
      0.05849302677742626,
      0.05751147902314539,
      0.05654512746502934,
      0.055593736281020656,
      0.054657073382717344,
      0.053734910269090184,
      0.05282702201433913,
      0.05193318727549201,
      0.05105318798275553,
      0.05018680943634619,
      0.0493338404512422,
      0.04849407314616008,
      0.0476673027957811,
      0.04685332791774208,
      0.04605195014277171,
      0.04526297426526123,
      0.04448620810219585,
      0.04372146233498104,
      0.04296855064536484,
      0.04222728956011899,
      0.04149749876537476,
      0.04077900043666971,
      0.04007161960644405,
      0.03937518404899826,
      0.03868952423039106,
      0.03801447317597655,
      0.03734986654216923,
      0.03669554251046736,
      0.03605134189143636,
      0.03541710797816784,
      0.034792686393176626,
      0.03417792514489836,
      0.03357267461651957,
      0.032976787618707946,
      0.032390119152190144,
      0.03181252645247189,
      0.031243869043253457,
      0.030684008493170222,
      0.03013280863227409,
      0.029590135382628658,
      0.029055856857908662,
      0.02852984301348345,
      0.028011965997132814,
      0.027502099814495456,
      0.027000120485586455,
      0.026505905986052406,
      0.026019336082076298,
      0.02554029245150907,
      0.025068658640846588,
      0.02460431993438319,
      0.02414716348411577,
      0.02369707815458793,
      0.023253954501382144,
      0.02281768476271905,
      0.02238816283840954,
      0.021965284434299192,
      0.02154894667938056,
      0.02113904839756122,
      0.02073548996573756,
      0.020338173235549206,
      0.019947001619496158,
      0.019561880075503874,
      0.019182715116275208,
      0.01880941448116796,
      0.01844188733465677,
      0.01808004447019813,
      0.017723797973271876,
      0.017373061195311047,
      0.017027748929235774,
      0.016687777279073685,
      0.016353063623991106,
      0.016023526535818247,
      0.015699086013756244,
      0.015379663183140897,
      0.015065180489005596,
      0.01475556145561116,
      0.014450730838291589,
      0.014150614582907627,
      0.013855139783599492,
      0.013564234663998948,
      0.013277828524919587,
      0.012995851829632678,
      0.012718236083835183,
      0.012444913745299692,
      0.01217581838504355,
      0.011910884617665565,
      0.011650048029432635,
      0.01139324536447828,
      0.01114041421939636,
      0.010891493124724054,
      0.010646421625623454,
      0.010405140152829732,
      0.010167590095378825,
      0.009933713729496262,
      0.009703454259346015,
      0.00947675573422523,
      0.00925356310885711,
      0.009033822173705094,
      0.008817479482491316,
      0.008604482466596286,
      0.008394779407082775,
      0.008188319320699775,
      0.007985052090738024,
      0.0077849283721994535,
      0.00758789955068454,
      0.007393917717067813,
      0.00720293564492024,
      0.007014907050469473,
      0.006829786251889799,
      0.006647528409927021,
      0.006468089148278769,
      0.006291424831162552,
      0.006117492633876394,
      0.005946250266393389,
      0.005777656036530408,
      0.005611669023399711,
      0.00544824889137045,
      0.005287355973549004,
      0.005128951281416978,
      0.004972996211847729,
      0.004819452853610197,
      0.004668284035844528,
      0.0045194529911836735,
      0.004372923574151577,
      0.004228660208201866,
      0.004086627848100957,
      0.003946791950282637,
      0.003809118553652599,
      0.0036735741652418625,
      0.0035401258897388866,
      0.003408741401906644,
      0.0032793887181475656,
      0.003152036344380769,
      0.0030266534767831362,
      0.002903209581978262,
      0.002781674658848114,
      0.0026620191715448394,
      0.0025442141626696897,
      0.0024282309551839918,
      0.0023140413832276577,
      0.0022016176114702875,
      0.00209093243313065,
      0.00198195893414311,
      0.0018746706928898656,
      0.0017690415936156296,
      0.0016650460102935762,
      0.0015626585787110736,
      0.001461854510497203,
      0.0013626093749301207,
      0.0012648990410729774,
      0.0011686997421051805,
      0.0010739880520874245,
      0.0009807410547118583,
      0.0008889360561929763,
      0.0007985507697502115,
      0.0007095632343031407,
      0.0006219518047555483,
      0.0005356952196114928,
      0.0004507725621074648,
      0.0003671631843569836,
      0.00028484684904934396,
      0.00020380353533720638,
      0.00012401358943932696,
      4.545761550738972e-05,
      -3.188356221334644e-05,
      -0.00010802876489808339,
      -0.00018299639296185172,
      -0.0002568047083300749,
      -0.00032947156888495267,
      -0.0004010147149501766,
      -0.00047145160346315093,
      -0.0005407992157162344,
      -0.0006090744041789305,
      -0.0006762938310354009,
      -0.0007424738302244408,
      -0.0008076303952810611,
      -0.0008717792484645595,
      -0.0009349361187154033,
      -0.0009971162308476192,
      -0.0010583347599636133,
      -0.0011186065854014552,
      -0.0011779463874433739,
      -0.0012363685077494465,
      -0.0012938871520302851,
      -0.0013505163248931026,
      -0.0014062697258223622,
      -0.001461160904567072,
      -0.0015152032128933654,
      -0.0015684097804505046,
      -0.001620793528134602,
      -0.0016723671170796796,
      -0.0017231432019981477,
      -0.0017731340481226595,
      -0.0018223518467479056,
      -0.0018708085594306254,
      -0.0019185159395694292,
      -0.001965485578405227,
      -0.002011728880682101,
      -0.002057256988530433,
      -0.002102080996931091,
      -0.002146211838244042,
      -0.002189660204328829,
      -0.0022324366902033506,
      -0.0022745516894275273,
      -0.002316015428591334,
      -0.002356837867337647,
      -0.0023970290811749623,
      -0.0024365987347225644,
      -0.0024755564568140413,
      -0.002513911757498811,
      -0.0025516739255020213,
      -0.0025888521154132,
      -0.0026254554282733834
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33511005174817,
      10.094891138532029,
      9.849003327845047,
      9.600108010143629,
      9.350536520260546,
      9.102313272331367,
      8.85712655852281,
      8.616314721555911,
      8.380866952790958,
      8.151439465245746,
      7.928385656358696,
      7.711796946267384,
      7.501550310547742,
      7.2973573771527755,
      7.098813230118401,
      6.9054405774278464,
      6.716726647519487,
      6.532155516382519,
      6.35123336017474,
      6.173505468183952,
      5.998569111049847,
      5.8260716439364595,
      5.655730572622948,
      5.487345470448887,
      5.320792526974283,
      5.156026164807289,
      4.993076985712991,
      4.832043242536262,
      4.673091930312217,
      4.5164748826231405,
      4.362521893444309,
      4.2115930220353714,
      4.064070902951725,
      3.920347973519896,
      3.780815244323023,
      3.6458402376427648,
      3.5157517312981783,
      3.3908313917805786,
      3.2713077697337654,
      3.1573527406755044,
      3.0490802368396754,
      2.9465339915952464,
      2.849684876829939,
      2.758426043841045,
      2.6725905273410016,
      2.591966829169479,
      2.5163148826308337,
      2.44538032706052,
      2.378905276827763,
      2.3166170777401884,
      2.2582135147963647,
      2.2033490788000134,
      2.1516485286267084,
      2.102756194121967,
      2.056335372104711,
      2.0120785743503267,
      1.9697220704432254,
      1.9290472331533606,
      1.8898721356964894,
      1.8520526179722225,
      1.8154709661841637,
      1.7800250275288854,
      1.7456256732006523,
      1.7122003672936763,
      1.6796890445900456,
      1.6480407819843574,
      1.6172114620067286,
      1.587162126688359,
      1.5578578131504404,
      1.5292667222220424,
      1.5013596216798675,
      1.4741077484599743,
      1.447482867677093,
      1.4214600487689837,
      1.3960167844998972,
      1.3711327764896837,
      1.3467896044794554,
      1.3229701612888605,
      1.29965992385641,
      1.27684469407761,
      1.2545107492090422,
      1.2326466666264178,
      1.2112408709948512,
      1.1902812493188093,
      1.1697555218368771,
      1.1496514779560831,
      1.1299576189647733,
      1.1106635527136195,
      1.091759202955376,
      1.0732348609799196,
      1.0550807619010958,
      1.0372871732877345,
      1.019844512656563,
      1.0027434185918995,
      0.985974792642886,
      0.9695298207621585,
      0.9533999819440784,
      0.9375770489914332,
      0.9220530839263382,
      0.9068204307921923,
      0.8918717067459457,
      0.8771997915621225,
      0.8627978172827049,
      0.8486591575488212,
      0.8347774170550517,
      0.8211464217604947,
      0.8077602090085144,
      0.7946130177654024,
      0.781699280555328,
      0.7690136142618105,
      0.7565508122512385,
      0.7443058369595095,
      0.732273812206236,
      0.7204500160726156,
      0.7088298749186978,
      0.6974089570537302,
      0.6861829661709998,
      0.6751477365339527,
      0.6642992556095976,
      0.6536336458875657,
      0.6431471296403641,
      0.632836029093563,
      0.6226967277738698,
      0.6127256670493335,
      0.6029196323477,
      0.5932758074424895,
      0.5837913345238137,
      0.5744633070304016,
      0.5652888140003341,
      0.5562649681379768,
      0.5473889229820496,
      0.5386578828207412,
      0.53006910890008,
      0.5216199226617155,
      0.513307706454093,
      0.5051299033490548,
      0.4970840165963388,
      0.48916760876390863,
      0.48137830007476545,
      0.4737137666683193,
      0.4661717393605156,
      0.4587500018498676,
      0.4514463889914879,
      0.44425893448371384,
      0.43718634888885116,
      0.43022732900719846,
      0.4233803285833894,
      0.4166436609002024,
      0.4100155639798229,
      0.40349424187179794,
      0.3970778912398146,
      0.39076471757240583,
      0.3845529453852299,
      0.378440840492395,
      0.37242692607101585,
      0.36650982622251493,
      0.3606880707603401,
      0.3549601418418546,
      0.3493245023645625,
      0.3437796144083674,
      0.3383239506466705,
      0.3329560012295437,
      0.3276743108472639,
      0.32247756620820267,
      0.3173644561345708,
      0.312333643778316,
      0.3073837498572432,
      0.3025129639654343,
      0.2977193627555888,
      0.2930012910521333,
      0.2883572608772929,
      0.2837858940873711,
      0.27928589233767614,
      0.2748560169727005,
      0.2704950756803236,
      0.2662019137911372,
      0.2619754081075388,
      0.2578144626454493,
      0.25371800579226567,
      0.24968505138338007,
      0.24571498092761385,
      0.24180721511856426,
      0.237961028784082,
      0.23417560728517745,
      0.23045008251967786,
      0.22678355718200635,
      0.22317512037376372,
      0.2196238578947259,
      0.2161288588837013,
      0.21268922026077633,
      0.20930404923040752,
      0.20597246506612232,
      0.20269357879668295,
      0.19946642972908146,
      0.19629008060297126,
      0.19316364546661202,
      0.19008627685095292,
      0.18705715721439906,
      0.18407549307381216,
      0.18114051124042835,
      0.1782514561934129,
      0.17540758808636736,
      0.17260818157042368,
      0.1698525248262741,
      0.16713991892991154,
      0.16446967727653578,
      0.16184112518845137,
      0.1592535994457254,
      0.15670644829226732,
      0.15419903075890748,
      0.15173071663910548,
      0.14930088628991206,
      0.14690893030903582,
      0.1445542494371143,
      0.14223625429787692,
      0.1399543652168087,
      0.13770801209296313,
      0.13549663412668586,
      0.13331967972708222,
      0.1311766064084239,
      0.1290668804972977,
      0.1269899769743049,
      0.12494537932941498,
      0.12293257960208255,
      0.12095107802789849,
      0.11900038290153778,
      0.11708001048405778,
      0.11518948485867919,
      0.11332833773558877,
      0.11149610846499282,
      0.10969234382703172,
      0.10791659776287804,
      0.10616843138369286,
      0.10444741288852007,
      0.10275311749935473,
      0.1010851270883452,
      0.09944303040660878,
      0.09782642258491002,
      0.09623490522887626,
      0.09466808636376513,
      0.09312558019179083,
      0.09160700709264692,
      0.09011199351200343,
      0.08864017185186561,
      0.0871911803176223,
      0.08576466282685928,
      0.08436026890638254,
      0.08297765360863629,
      0.08161647751758029,
      0.08027640661835676,
      0.07895711221791953,
      0.07765827068072728,
      0.07637956354231802,
      0.07512067737376237,
      0.07388130372799663,
      0.07266113889723096,
      0.07145988407252844,
      0.07027724515501212,
      0.06911293252718133,
      0.06796666116470582,
      0.06683815064427247,
      0.06572712487527015,
      0.06463331206740276,
      0.0635564446626918,
      0.0624962593786107,
      0.06145249707290088,
      0.060424902655715707,
      0.05941322495911051,
      0.0584172167389995,
      0.057436634768031784,
      0.05647123954253646,
      0.055520795305617585,
      0.05458506992514661,
      0.053663834928450845,
      0.05275686552184981,
      0.05186394033183617,
      0.05098484138130543,
      0.05011935420289354,
      0.04926726765043851,
      0.048428373815140535,
      0.04760246813898791,
      0.046789349101047976,
      0.045988818542697804,
      0.04520068113979356,
      0.04442474477332093,
      0.043660820237957025,
      0.04290872131778221,
      0.04216826464428629,
      0.04143926982629548,
      0.04072155928899385,
      0.04001495807267047,
      0.039319294036130006,
      0.038634397657054294,
      0.03796010198256971,
      0.0372962427549768,
      0.03664265833155493,
      0.035999189588779026,
      0.03536567980162732,
      0.0347419745825766,
      0.0341279221000552,
      0.033523372861566064,
      0.03292817960737925,
      0.032342197467697315,
      0.031765283727674315,
      0.031197297912754673,
      0.03063810188279504,
      0.03008755951522786,
      0.029545536624832374,
      0.029011901323861847,
      0.028486523716474067,
      0.027969275849329876,
      0.02746003199380172,
      0.026958668256147667,
      0.026465062589493597,
      0.025979094882660505,
      0.02550064688482771,
      0.025029602150184266,
      0.02456584600860508,
      0.024109265714926338,
      0.02365975019235228,
      0.023217189947722927,
      0.02278147739989008,
      0.022352506592105522,
      0.021930173102037945,
      0.021514374240227858,
      0.021105008824633495,
      0.020701977280629724,
      0.020305181548549756,
      0.01991452499839803,
      0.01952991271964941,
      0.01915125125103896,
      0.018778448456282213,
      0.01841141360836474,
      0.01805005753669076,
      0.017694292271339285,
      0.017344031321753984,
      0.016999189471470704,
      0.016659682863898146,
      0.01632542888999304,
      0.015996346201677312,
      0.01567235492735523,
      0.015353376307801609,
      0.015039332680257315,
      0.014730147682769328,
      0.014425746183741008,
      0.01412605419115234,
      0.013830998740260999,
      0.013540508116647242,
      0.013254511651272954,
      0.012972939742285874,
      0.012695724078381923,
      0.012422797230785603,
      0.012154092802565743,
      0.01188954541601572,
      0.011629090774528903,
      0.01137266551197487,
      0.011120207357860708,
      0.010871654975564643,
      0.010626947906359275,
      0.0103860266630647,
      0.010148832566474326,
      0.009915307941484416,
      0.009685396100741985,
      0.009459041134964616,
      0.009236188005336193,
      0.009016782537365776,
      0.00880077135476978,
      0.008588101918053653,
      0.00837872261096975,
      0.008172582461703581,
      0.007969631350034326,
      0.007769819956897011,
      0.007573099710742901,
      0.007379422826029717,
      0.007188742179388805,
      0.007001011404448928,
      0.006816184868930198,
      0.00663421771837655,
      0.0064550656552886075,
      0.006278685115514684,
      0.006105033166921392,
      0.005934067659245768,
      0.005765746899317015,
      0.005600030168479978,
      0.005436877097940241,
      0.005276248064250918,
      0.005118103957103275,
      0.004962406305797875,
      0.004809117357280006,
      0.004658199877114343,
      0.004509617200463129,
      0.004363333069188042,
      0.0042193119538412975,
      0.00407751881867059,
      0.003937919225964167,
      0.0038004792708013976,
      0.0036651655880414985,
      0.003531945144786998,
      0.003400785568873256,
      0.0032716550726059595,
      0.0031445223153964415,
      0.003019356337874737,
      0.0028961266502521487,
      0.002774803271763255,
      0.0026553567593392024,
      0.0025377580218127437,
      0.002421978504850643,
      0.0023079901743233507,
      0.002195765342528841,
      0.0020852766359182448,
      0.0019764972629882326,
      0.0018694006990628315,
      0.0017639608684653929,
      0.001660152220333824,
      0.0015579495964976877,
      0.0014573280371224626,
      0.0013582630963986863,
      0.0012607306893341326,
      0.0011647070416228066,
      0.0010701688253075547,
      0.0009770930926293656,
      0.0008854573006341957,
      0.0007952391779567197,
      0.0007064167519399965,
      0.0006189683577331951,
      0.0005328727252136064,
      0.00044810894613902126,
      0.0003646564493319113,
      0.0002824950281634646,
      0.00020160471017732377,
      0.0001219657488200215,
      4.355881945435408e-05,
      -3.363511385921638e-05,
      -0.00010963490491894317,
      -0.0001844590702259126,
      -0.000258125721938423,
      -0.0003306528042214804,
      -0.00040205776941277036,
      -0.00047235805996877857,
      -0.0005415708397822069,
      -0.0006097129215884321,
      -0.0006768008648920577,
      -0.0007428509073068812,
      -0.0008078791047174154,
      -0.000871901279638718,
      -0.0009349330453807035,
      -0.0009969897526230023,
      -0.0010580864163161844,
      -0.0011182378890853023,
      -0.0011774588048253036,
      -0.001235763598285218,
      -0.0012931663835200231,
      -0.0013496811046056995,
      -0.0014053215713895335,
      -0.0014601013228921242,
      -0.0015140336295955592,
      -0.0015671315645387524,
      -0.001619408150102285,
      -0.001670876014661001,
      -0.001721547773243839,
      -0.0017714356187823774,
      -0.0018205516307406493,
      -0.001868907790920347,
      -0.0019165158395793183,
      -0.001963387429611197,
      -0.002009533917981841,
      -0.00205496650565766,
      -0.002099696096994062,
      -0.002143733781734093,
      -0.002187090261282644,
      -0.0022297760816495653,
      -0.0022718015285327193,
      -0.0023131767568167006,
      -0.002353911963877515,
      -0.0023940170162518935,
      -0.00243350162833041,
      -0.002472375457645398,
      -0.002510648022099667,
      -0.0025483285081564677,
      -0.002585425997873372,
      -0.002621949466307405
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335106603852978,
      10.094878396597055,
      9.848975465872869,
      9.600060845774358,
      9.350467159108335,
      9.102219845791415,
      8.857007982002418,
      8.616170485499277,
      8.38069694324452,
      8.151243814735924,
      7.9281646266781,
      7.711550904067068,
      7.50127972036984,
      7.297062639880261,
      7.098494657450972,
      6.905098423353044,
      6.716361149206766,
      6.531766927817717,
      6.3508220191036715,
      6.173071852479246,
      5.998113933103731,
      5.825595847618939,
      5.655235284492084,
      5.486832035111491,
      5.320262542859529,
      5.155481477297732,
      4.992519566308941,
      4.831475335978464,
      4.672516047731408,
      4.515894274765237,
      4.361940082163455,
      4.21101351130284,
      4.063497143724919,
      3.919783362048036,
      3.7802631308026613,
      3.6453036829912526,
      3.515233456537611,
      3.390333741444403,
      3.270832685257558,
      3.1569017481290995,
      3.0486544026946962,
      2.9461338514510342,
      2.849310452086031,
      2.7580767538951503,
      2.6722651919548293,
      2.5916637439355146,
      2.516032190074452,
      2.445116098341812,
      2.3786574272697623,
      2.31638342534871,
      2.257991909636036,
      2.203136954813134,
      2.151443364985021,
      2.102555706982609,
      2.0561375812201517,
      2.011881630162317,
      1.9695245502479624,
      1.9288480800665997,
      1.8896705881855755,
      1.851848137043646,
      1.8152631743560506,
      1.7798136270358886,
      1.7454104585839434,
      1.7119812227273343,
      1.6794659179056526,
      1.6478136646014512,
      1.616980375725545,
      1.5869271145728132,
      1.5576189325324885,
      1.529024039988318,
      1.5011132110307213,
      1.4738577150665033,
      1.4472293326610188,
      1.4212031389667457,
      1.395756610166595,
      1.3708694512152448,
      1.3465232275136272,
      1.3227008998975542,
      1.2993880312560986,
      1.276570360898169,
      1.2542342832747604,
      1.2323684197715454,
      1.2109610920892486,
      1.190000118746519,
      1.1694731747367202,
      1.1493680193414098,
      1.1296731538775016,
      1.1103781743223053,
      1.0914729973862694,
      1.0729479037501501,
      1.0547931174443066,
      1.0369988979722455,
      1.019555656822908,
      1.0024540291868929,
      0.9856849142165601,
      0.9692394957945794,
      0.9531092513664158,
      0.9372859526481822,
      0.9217616612841806,
      0.9065287204720859,
      0.8915797464543651,
      0.8769076185231792,
      0.8625054678994158,
      0.8483666677177243,
      0.8344848223715873,
      0.8208537571066958,
      0.8074675085900784,
      0.7943203157513525,
      0.7814066103624115,
      0.7687210088486416,
      0.7562583040991842,
      0.7440134575624826,
      0.731981592798136,
      0.7201579875842596,
      0.7085380676984752,
      0.6971174005552716,
      0.6858916896495847,
      0.6748567739572048,
      0.6640086481656978,
      0.6533434297229287,
      0.6428573372167381,
      0.6325466901199104,
      0.6224078685723221,
      0.612437312500578,
      0.6026319079346789,
      0.5929888432140731,
      0.5835052203182952,
      0.5741781064943884,
      0.5650045737125424,
      0.5559817231879272,
      0.5471067009803963,
      0.538376706531221,
      0.5297889978074171,
      0.5213408936579271,
      0.5130297743581452,
      0.5048530819742096,
      0.49680831917239143,
      0.4888930476146317,
      0.4811048869235042,
      0.47344151288554315,
      0.4659006557729169,
      0.4584800988484179,
      0.45117767678598,
      0.443991469077272,
      0.4369202484760978,
      0.42996266965100016,
      0.42311715971420444,
      0.4163820145989594,
      0.40975546096479726,
      0.40323569566129425,
      0.3968209103258551,
      0.39050930734412315,
      0.3842991092486997,
      0.37818859377166153,
      0.3721763009079603,
      0.36626084204227916,
      0.3604407389440747,
      0.3547144683535655,
      0.34908048971879263,
      0.3435372628846474,
      0.33808325897107755,
      0.33271696718420607,
      0.32743693898252796,
      0.3222418661051325,
      0.31713043204097796,
      0.31210129650092716,
      0.30715310439970944,
      0.30228411955104817,
      0.2974923985668372,
      0.29277625736952256,
      0.28813418751851905,
      0.28356479736976997,
      0.2790667795458068,
      0.2746388894926872,
      0.2702799311942341,
      0.2659887471451536,
      0.26176421251134163,
      0.25760523025266113,
      0.25351072795751617,
      0.24947972743373828,
      0.2455116214909749,
      0.24160582312993517,
      0.23776160206964755,
      0.23397814011755122,
      0.2302545670062416,
      0.22658998385449208,
      0.2229834788087296,
      0.21943413704923573,
      0.2159410473130102,
      0.21250330616768845,
      0.20912002049951414,
      0.20579030930821937,
      0.20251328139465577,
      0.19928797342373808,
      0.1961134498662859,
      0.19298882590496602,
      0.18991325480308774,
      0.1868859194657679,
      0.18390602673714068,
      0.18097280367475582,
      0.17808549487261485,
      0.17524336056883194,
      0.17244567547470696,
      0.16969172801642615,
      0.16698081910277646,
      0.16431226218403785,
      0.1616853825159297,
      0.15909951712858145,
      0.15655401404340896,
      0.15404823244167165,
      0.15158154205461258,
      0.14915332315445815,
      0.14676296637060435,
      0.14440987244551495,
      0.14209345199297513,
      0.13981312545670158,
      0.13756832277838263,
      0.1353584831570684,
      0.13318305503254105,
      0.13104149589220537,
      0.1289332720926289,
      0.1268578586946116,
      0.12481473919716485,
      0.12280340562870543,
      0.12082335825044692,
      0.11887410536824021,
      0.11695516321425037,
      0.11506605597413441,
      0.11320631552183748,
      0.11137548121062646,
      0.1095730996878813,
      0.10779872498205573,
      0.10605191829522692,
      0.10433224790847477,
      0.10263928907878148,
      0.10097262380637631,
      0.09933184063726692,
      0.0977165348759474,
      0.09612630814615371,
      0.0945607685650253,
      0.09301953045573798,
      0.09150221414504421,
      0.09000844617584952,
      0.08853785894938015,
      0.08709009068065215,
      0.08566478535144856,
      0.0842615926075754,
      0.08288016761829098,
      0.08152017099366514,
      0.0801812687398867,
      0.07886313215762014,
      0.07756543777497395,
      0.07628786716236191,
      0.07503010698803159,
      0.07379184877698677,
      0.07257278901810878,
      0.07137262887905522,
      0.07019107417309117,
      0.06902783546408159,
      0.06788262778441571,
      0.06675517074161263,
      0.06564518832020998,
      0.06455240886857468,
      0.06347656495180645,
      0.06241739322986976,
      0.06137463456729887,
      0.06034803396400904,
      0.059337340355522065,
      0.0583423065958266,
      0.057362689503059984,
      0.05639824960806059,
      0.055448751155066416,
      0.05451396217378136,
      0.05359365427911412,
      0.05268760265639342,
      0.05179558600892653,
      0.050917386524978056,
      0.05005278974361135,
      0.049201584626920244,
      0.0483635633560314,
      0.047538521314014336,
      0.0467262570807562,
      0.04592657252297327,
      0.0451392725305595,
      0.0443641649491507,
      0.04360106072410737,
      0.042849773677927645,
      0.04211012056253196,
      0.041381920976320555,
      0.04066499734639196,
      0.039959174816205305,
      0.03926428133509385,
      0.03858014741097318,
      0.037906606299788134,
      0.03724349375662321,
      0.03659064814312156,
      0.035947910357476714,
      0.035315123770665716,
      0.034692134146860336,
      0.03407878962085606,
      0.033474940834086635,
      0.03288044051696765,
      0.032295143824122435,
      0.031718908201408325,
      0.03115159323017387,
      0.030593060645104662,
      0.030043174411250168,
      0.02950180061893468,
      0.02896880746950182,
      0.028444065109991593,
      0.02792744575569342,
      0.027418823559510502,
      0.02691807452063131,
      0.026425076756975748,
      0.025939710282852028,
      0.025461856889588526,
      0.024991400230439016,
      0.024528225740573045,
      0.02407222064060985,
      0.023623273876886525,
      0.023181276138684124,
      0.0227461198629178,
      0.022317699112117156,
      0.021895909573326173,
      0.021480648607589862,
      0.02107181514718826,
      0.02066930959874061,
      0.020273033968706302,
      0.019882891835609286,
      0.01949878827786286,
      0.019120629737393372,
      0.018748324212772956,
      0.018381781019713182,
      0.018020910938553313,
      0.017665626150546048,
      0.017315840237539216,
      0.016971468046883674,
      0.016632425669378892,
      0.016298630555720964,
      0.0159700016254487,
      0.015646458949197816,
      0.015327923766254357,
      0.01501431845562513,
      0.01470556674710779,
      0.014401593472907766,
      0.014102324756700589,
      0.013807687768377028,
      0.013517610718381588,
      0.013232022976865923,
      0.012950855121297204,
      0.012674038835903494,
      0.01240150664378224,
      0.012133192278443729,
      0.01186903051920366,
      0.011608957030912815,
      0.01135290846131721,
      0.01110082261276998,
      0.010852638151747477,
      0.01060829463167538,
      0.010367732650148379,
      0.010130893615058837,
      0.009897719864648668,
      0.009668154689451588,
      0.009442142351405051,
      0.009219627795401926,
      0.009000556929226673,
      0.0087848764177877,
      0.008572533772901736,
      0.008363477280769662,
      0.008157656110916758,
      0.007955020224819151,
      0.007755520364003975,
      0.007559108003106788,
      0.007365735229374449,
      0.007175355101764596,
      0.006987921320487282,
      0.0068033882806247635,
      0.006621711090281716,
      0.006442845489802998,
      0.0062667480281443045,
      0.006093375834883952,
      0.005922686757570124,
      0.005754639113227667,
      0.00558919208491443,
      0.005426305504018117,
      0.005265939654403996,
      0.0051080555939752425,
      0.004952614995167058,
      0.0047995799308716055,
      0.004648913094676816,
      0.004500577940614926,
      0.0043545383743883795,
      0.00421075887257845,
      0.004069204425622189,
      0.003929840724995022,
      0.003792633914024699,
      0.0036575504486458903,
      0.0035245574491826045,
      0.0033936225650282197,
      0.0032647138918955746,
      0.0031378002094391744,
      0.00301285057228645,
      0.002889834672072784,
      0.002768722584975127,
      0.002649484755912832,
      0.0025320922323975085,
      0.0024165163981919226,
      0.00230272920467906,
      0.002190702825018222,
      0.002080410181435247,
      0.0019718243678317334,
      0.0018649190152409928,
      0.001759668067156717,
      0.0016560458363438098,
      0.0015540273049866838,
      0.0014535876826044466,
      0.0013547025124925943,
      0.001257347626586715,
      0.0011614992732865608,
      0.001067134208517745,
      0.0009742295154943785,
      0.0008827626039641865,
      0.0007927111658099296,
      0.0007040533802935425,
      0.0006167675991868195,
      0.0005308326055386628,
      0.0004462275492135701,
      0.00036293172524046603,
      0.00028092489327323364,
      0.000200187191705334,
      0.00012069903423502903,
      4.244097573851502e-05,
      -3.460597590982402e-05,
      -0.00011046061897203213,
      -0.00018514132004142633,
      -0.00025866621960997355,
      -0.0003310533160035058,
      -0.0004023201735287246,
      -0.0004724841377363941,
      -0.0005415622761356157,
      -0.0006095714390878198,
      -0.0006765280903945649,
      -0.000742448518324595,
      -0.0008073488487884946,
      -0.0008712447711915747,
      -0.0009341518929946907,
      -0.000996085508144968,
      -0.0010570606253943783,
      -0.0011170920653766803,
      -0.0011761945124578103,
      -0.0012343824070183403,
      -0.0012916698112306452,
      -0.0013480707123764606,
      -0.00140359874701898,
      -0.0014582673754517897,
      -0.001512089985180575,
      -0.0015650795938153938,
      -0.0016172492311479865,
      -0.0016686115891510346,
      -0.0017191790975580805,
      -0.0017689640488812285,
      -0.0018179784938670504,
      -0.001866234333678733,
      -0.001913743423586628,
      -0.0019605173078828917,
      -0.002006567265200695,
      -0.002051904588254713,
      -0.0020965403163623842,
      -0.002140485189831632,
      -0.0021837500037096814,
      -0.0022263453257412827,
      -0.002268281442624596,
      -0.0023095685656453232,
      -0.0023502167434092313,
      -0.0023902358570351222,
      -0.002429635690643105,
      -0.0024684258424644114,
      -0.0025066156990079637,
      -0.002544214548261736,
      -0.002581231514390386,
      -0.0026176756379284656
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33510316572093,
      10.094865680164073,
      9.848947646868167,
      9.60001374466697,
      9.350397886500367,
      9.102126536480654,
      8.856889552883864,
      8.616026430038865,
      8.380527150122962,
      8.151048417282562,
      7.927943886917751,
      7.711305202800879,
      7.501009523601283,
      7.296768349473651,
      7.098176584450289,
      6.904756821351639,
      6.715996254603678,
      6.531378995790622,
      6.3504113884739954,
      6.17263900247903,
      5.997659576998329,
      5.8251209302033855,
      5.654740932343142,
      5.486319593055819,
      5.319733607895316,
      5.15493789209901,
      4.991963317990145,
      4.830908666315744,
      4.671941462859731,
      4.5153150194974145,
      4.361359671180495,
      4.210435440811649,
      4.062924862609728,
      3.919220258388282,
      3.7797125460732057,
      3.6447686685213108,
      3.514716725050464,
      3.389837627959823,
      3.270359122972635,
      3.1564522559936665,
      3.048230020462513,
      2.945735091625,
      2.848937338112604,
      2.757728709753798,
      2.671941042461191,
      2.591361789346619,
      2.5157505782003367,
      2.4448529052397765,
      2.3784105517945444,
      2.316150672940741,
      2.2577711421710163,
      2.2029256177856205,
      2.151238948188019,
      2.1023559365074522,
      2.0559404851612535,
      2.0116853668473453,
      1.9693277029164722,
      1.9286495964659334,
      1.889469710624771,
      1.851644329444648,
      1.8150560613984745,
      1.7796029115189653,
      1.7451959363036036,
      1.7117627783770473,
      1.6792434983375588,
      1.6475872618086325,
      1.6167500122102965,
      1.5866928337206592,
      1.5573807916165276,
      1.5287821061680027,
      1.5008675570427845,
      1.4736084463483055,
      1.4469765700252781,
      1.420947008610841,
      1.39549722203748,
      1.3706069189759094,
      1.3462576575306855,
      1.3224325176121523,
      1.299117066240147,
      1.2762969885072821,
      1.2539588434877962,
      1.232091240971579,
      1.2106824082291032,
      1.1897201011619536,
      1.1691919525779906,
      1.1490856932604998,
      1.1293898259715875,
      1.1100939352586,
      1.0911879323983225,
      1.0726620877443995,
      1.0545066137597825,
      1.036711762412479,
      1.019267940299957,
      1.0021657789310823,
      0.9853961744154783,
      0.9689503089853886,
      0.9528196588031148,
      0.9369959945594933,
      0.921471376614514,
      0.9062381475807598,
      0.8912889230450523,
      0.8766165816161304,
      0.8622142542033049,
      0.8480753132313632,
      0.8341933623842513,
      0.8205622268010724,
      0.8071759425701043,
      0.7940287479185121,
      0.7811150741901833,
      0.7684295372433957,
      0.7559669295066437,
      0.743722212219495,
      0.7316905078327112,
      0.7198670936581125,
      0.7082473949041125,
      0.6968269786616275,
      0.6856015478312795,
      0.6745669474344724,
      0.6637191778143422,
      0.6530543511848936,
      0.6425686822289703,
      0.6322584881809923,
      0.6221201461544668,
      0.6121501372349736,
      0.6023454250856479,
      0.5927031605886145,
      0.5832204132785086,
      0.5738942292085258,
      0.5647216664668554,
      0.5556998170036339,
      0.5468258205922424,
      0.53809687267877,
      0.5295102287697915,
      0.5210632056554656,
      0.5127531823236451,
      0.5045775996273378,
      0.496533959314008,
      0.4886198225653376,
      0.4808328083192663,
      0.47317059192467403,
      0.46563090340541363,
      0.4582115256291885,
      0.4509102926711274,
      0.4437253686212045,
      0.4366555347105844,
      0.4296994094620465,
      0.42285539637006997,
      0.4161217760945534,
      0.4094967655613066,
      0.40297855530145077,
      0.3965653326747028,
      0.3902552972255298,
      0.38404666963534706,
      0.37793773960719773,
      0.3719270643872189,
      0.3660132425670922,
      0.36019478782122905,
      0.35447017147155846,
      0.348837849565906,
      0.343296279724338,
      0.33784393153620484,
      0.3324792930441257,
      0.3272009263777505,
      0.3220075234785553,
      0.31689776288913646,
      0.31187030096986573,
      0.3069237814500711,
      0.30205655671659287,
      0.297266688674989,
      0.2925524595207957,
      0.2879123372499695,
      0.2833449147577453,
      0.2788488745014433,
      0.2744229651983647,
      0.27006598622811695,
      0.2657767773193417,
      0.2615542116037474,
      0.25739719048787,
      0.25330464081044773,
      0.24927559227452684,
      0.2453094489005704,
      0.24140561585497208,
      0.23756335784724064,
      0.23378185342122662,
      0.23006022988723268,
      0.22639758695104756,
      0.22279301175052,
      0.2192455887169252,
      0.21575440615707112,
      0.21231856026979817,
      0.2089371578351838,
      0.20560931766429666,
      0.20233414630136776,
      0.19911067751168016,
      0.19593797754471623,
      0.19281516267549953,
      0.18974138693335427,
      0.18671583381805953,
      0.18373771054722718,
      0.1808062442297076,
      0.1779206796458705,
      0.17508027721533928,
      0.17228431172426867,
      0.16953207146466148,
      0.16682285742726374,
      0.164155983067369,
      0.16153077377189173,
      0.15894656655441547,
      0.15640270955798852,
      0.15389856182268358,
      0.15143349302442177,
      0.14900688350991767,
      0.14661812393442278,
      0.14426661506807437,
      0.14195176750327923,
      0.1396730016568691,
      0.13742974742507671,
      0.13522144416498408,
      0.1330475404109113,
      0.13090749360513423,
      0.12880077005216278,
      0.126726844797887,
      0.12468520144620819,
      0.12267533205265235,
      0.1206967368976547,
      0.11874892439373692,
      0.11683141081454468,
      0.11494372027748448,
      0.1130853846305019,
      0.11125594328087676,
      0.10945494297845534,
      0.1076819378071249,
      0.10593648905388947,
      0.10421816494874163,
      0.10252654072661294,
      0.10086119847094349,
      0.09922172689070125,
      0.09760772128549978,
      0.09601878336074371,
      0.0944545211918452,
      0.09291454914025002,
      0.09139848767624213,
      0.0899059633375427,
      0.0884366085623169,
      0.0869900616634506,
      0.08556596661029858,
      0.08416397313225363,
      0.08278373652129999,
      0.08142491754970771,
      0.08008718222870848,
      0.07877020180840896,
      0.07747365288555831,
      0.07619721703710494,
      0.0749405810029933,
      0.07370343637522013,
      0.07248547965446037,
      0.07128641209822778,
      0.070105939637217,
      0.06894377287899554,
      0.06779962692455578,
      0.06667322144962329,
      0.06556428051955722,
      0.06447253239163973,
      0.06339770975608468,
      0.06233954942339386,
      0.061297792374295355,
      0.06027218357001219,
      0.05926247204495909,
      0.058268410832834835,
      0.05728975668195755,
      0.056326270201128625,
      0.05537771582573047,
      0.054443861546717945,
      0.053524479085843735,
      0.05261934358838324,
      0.05172823392354106,
      0.05085093233727583,
      0.04998722438505029,
      0.04913689900107153,
      0.04829974851341147,
      0.04747556844929611,
      0.04666415743228109,
      0.045865317332393726,
      0.0450788530886998,
      0.04430457270862726,
      0.04354228719319651,
      0.04279181039085958,
      0.04205295914546701,
      0.04132555307666425,
      0.0406094147785019,
      0.03990436934221533,
      0.03921024479512248,
      0.0385268717073692,
      0.037854083422972584,
      0.037191715750796786,
      0.03653960712953416,
      0.035897598503657854,
      0.03526553322508899,
      0.03464325733288723,
      0.03403061899093352,
      0.03342746882126274,
      0.0328336597536793,
      0.032249046979793354,
      0.03167348792859286,
      0.031106842142219843,
      0.03054897152275014,
      0.029999740206308703,
      0.029459014248651327,
      0.02892666192888897,
      0.028402553495576462,
      0.027886561130208976,
      0.027378559058449103,
      0.026878423465608852,
      0.0263860324831033,
      0.025901266106452246,
      0.02542400624762625,
      0.024954136546529206,
      0.024491542590203773,
      0.024036111573293863,
      0.02358773251828898,
      0.023146296312007045,
      0.022711695322936168,
      0.02228382359710578,
      0.02186257691415623,
      0.02144785274821036,
      0.021039550038155472,
      0.02063756932005683,
      0.020241812629990048,
      0.01985218353419136,
      0.01946858717108235,
      0.019090930108711764,
      0.018719120373093253,
      0.018353067406031556,
      0.017992681983842487,
      0.017637876427576644,
      0.017288564265778836,
      0.01694466041095505,
      0.01660608106143369,
      0.01627274379917036,
      0.01594456752757458,
      0.015621472280759564,
      0.015303379342756704,
      0.014990211237916294,
      0.01468189172612018,
      0.014378345675532292,
      0.014079499226273318,
      0.013785279513327394,
      0.013495615004484991,
      0.013210435187902185,
      0.012929670588242442,
      0.012653252844084424,
      0.01238111452877441,
      0.012113189369571677,
      0.011849412280426314,
      0.011589719030271109,
      0.011334046277312944,
      0.011082331822993546,
      0.010834514495686419,
      0.010590533783060638,
      0.01035033026286542,
      0.010113845496881537,
      0.00988102192910447,
      0.00965180281887096,
      0.009426132361660474,
      0.009203955718430691,
      0.008985218762081363,
      0.00876986825333514,
      0.008557851746331011,
      0.008349117541680507,
      0.00814361476362075,
      0.007941293453078861,
      0.007742104403366581,
      0.007545999036951157,
      0.007352929679366807,
      0.007162849321199331,
      0.006975711802580295,
      0.006791471422018438,
      0.006610083342412108,
      0.006431503453227792,
      0.006255688203675591,
      0.006082594845338908,
      0.0059121812007179066,
      0.005744405777583096,
      0.005579227752634317,
      0.005416606874664874,
      0.0052565035802302875,
      0.005098878889230023,
      0.004943694461784608,
      0.004790912447771425,
      0.004640495650097137,
      0.004492407486618856,
      0.004346611935803191,
      0.0042030735224292065,
      0.0040617571910783554,
      0.00392262867130375,
      0.0037856540309287355,
      0.003650799912263849,
      0.0035180335472188248,
      0.00338732264788734,
      0.0032586353179473544,
      0.0031319402137168573,
      0.0030072064782856655,
      0.0028844036840001033,
      0.002763502126678118,
      0.002644472238005676,
      0.0025272850995098355,
      0.0024119121761658068,
      0.002298325325263357,
      0.0021864969849874623,
      0.0020763998944433237,
      0.001968007215679695,
      0.0018612925617586943,
      0.001756229950650974,
      0.001652793830308375,
      0.0015509590801483992,
      0.001450700893341591,
      0.001351994781257698,
      0.0012548168145246515,
      0.0011591433062818747,
      0.0010649508783790612,
      0.0009722166366882423,
      0.0008809180112631605,
      0.0007910327058747717,
      0.0007025390048754606,
      0.0006154153127284893,
      0.0005296403617699508,
      0.00044519325596616724,
      0.00036205345883030045,
      0.00028020085901889056,
      0.00019961545614400562,
      0.00012027765119529498,
      4.216808687975452e-05,
      -3.4732224829343245e-05,
      -0.00011044206623767635,
      -0.0001849798842720779,
      -0.00025836374831435195,
      -0.00033061156731558814,
      -0.0004017409058667843,
      -0.00047176907204660916,
      -0.0005407131537387564,
      -0.0006085898566222128,
      -0.0006754157415040458,
      -0.0007412070859030293,
      -0.0008059799031261551,
      -0.0008697500372509641,
      -0.0009325329517020737,
      -0.0009943438917554732,
      -0.001055197912522425,
      -0.0011151097981351153,
      -0.0011740940944010762,
      -0.0012321652103543528,
      -0.0012893373667338666,
      -0.0013456244418665509,
      -0.001401040204248187,
      -0.0014555980486535632,
      -0.0015093112394476073,
      -0.001562192848206701,
      -0.0016142558049432331,
      -0.001665512777298181,
      -0.001715976194705113,
      -0.0017656584370869574,
      -0.001814571629094149,
      -0.0018627276751608413,
      -0.0019101381532939435,
      -0.00195681469774527,
      -0.002002768688476778,
      -0.002048011187685103,
      -0.002092553218663401,
      -0.002136405669007544,
      -0.0021795792254117622,
      -0.0022220844599598216,
      -0.0022639317191190346,
      -0.002305131075146323,
      -0.0023456926202480325,
      -0.00238562619436807,
      -0.002424941519284369,
      -0.002463648192335815,
      -0.002501755647567903,
      -0.002539273192953734,
      -0.002576209964218695,
      -0.0026125749097926946
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335099723724015,
      10.09485295026582,
      9.848919800695962,
      9.599966596686995,
      9.350328541218136,
      9.102033122454218,
      8.85677098323859,
      8.61588219587199,
      8.3803571397964,
      8.150852766889999,
      7.927722859439262,
      7.711059228263963,
      7.500739060807258,
      7.296473793199977,
      7.0978582409109965,
      6.904414940177179,
      6.715631069284609,
      6.530990758804399,
      6.350000436579059,
      6.172205813507917,
      5.997204862676385,
      5.824645633193731,
      5.654246177977914,
      5.485806725554904,
      5.319204224034854,
      5.154393835215633,
      4.991406580645407,
      4.830341487057603,
      4.6713663500586176,
      4.514735219037648,
      4.3607786989420605,
      4.2098567936747155,
      4.062351990778155,
      3.9186565500245814,
      3.7791613422630985,
      3.6442330203016557,
      3.514199344912948,
      3.3893408516395462,
      3.269884883881102,
      3.156002074096806,
      3.0478049353828656,
      2.945335616204823,
      2.8485634962936044,
      2.757379926565548,
      2.6716161443646937,
      2.5910590795888275,
      2.515468207284902,
      2.4445889515304393,
      2.3781628961690284,
      2.3159171101329115,
      2.2575495435305886,
      2.2027134375019126,
      2.1510336842578837,
      2.102155322844357,
      2.055742557046348,
      2.0114882870469484,
      1.969130056942857,
      1.9284503333206535,
      1.8892680730346685,
      1.8514397813019092,
      1.8148482268873674,
      1.7793914935533404,
      1.7449807299614308,
      1.7115436682327845,
      1.679020432035303,
      1.647360230507624,
      1.6165190377402379,
      1.586457958758831,
      1.5571420732576706,
      1.5285396108608038,
      1.5006213575070622,
      1.4733586479407719,
      1.4467232932667453,
      1.4206903793024304,
      1.3952373496809425,
      1.3703439175582977,
      1.3459916339570996,
      1.3221636972173496,
      1.2988456772890393,
      1.2760232054278169,
      1.253683005815527,
      1.2318136768288723,
      1.2104033510870196,
      1.1894397215038148,
      1.1689103787906243,
      1.1488030262898121,
      1.1291061676917513,
      1.1098093764139023,
      1.09090255748174,
      1.0723759713773549,
      1.0542198195045176,
      1.0364243458394846,
      1.018979951684883,
      1.0018772651763317,
      0.9851071799450201,
      0.9686608762746227,
      0.9525298288488121,
      0.9367058072397995,
      0.9211808708379439,
      0.9059473615800996,
      0.8909978943067536,
      0.8763253470572491,
      0.8619228502894642,
      0.8477837759348122,
      0.8339017270326887,
      0.8202705281728913,
      0.8068842150325657,
      0.7937370252530292,
      0.7808233894608934,
      0.7681379228856658,
      0.755675417458516,
      0.7434308339184371,
      0.7313992944585402,
      0.7195760759619831,
      0.7079566032338829,
      0.6965364423938221,
      0.6853112960415162,
      0.6742770195585084,
      0.663429613269132,
      0.6527651844063389,
      0.6422799446071176,
      0.6319702085807286,
      0.6218323503803675,
      0.611862903201714,
      0.6020589030503368,
      0.5924174531649252,
      0.5829355924148063,
      0.5736103466139972,
      0.5644387607634138,
      0.5554179184647025,
      0.546544953712025,
      0.5378170578013544,
      0.5292314833684238,
      0.5207855455458585,
      0.5124766221285887,
      0.5043021530535552,
      0.49625963931934014,
      0.4883466413399096,
      0.48056077758982274,
      0.4728997229215714,
      0.4653612067472816,
      0.45794301145452293,
      0.45064297089169403,
      0.44345933745300864,
      0.4363908956062815,
      0.4294362280069429,
      0.42259371521141387,
      0.4158616229531751,
      0.4092381583888118,
      0.40272150551606756,
      0.3963098478616095,
      0.39000138224215464,
      0.38379432749984677,
      0.3776869853462924,
      0.3716779299602396,
      0.365765747126366,
      0.3599489425109102,
      0.35422598228171154,
      0.34859531900729696,
      0.3430554080298582,
      0.3376047174177464,
      0.33224173417441283,
      0.3269650311617451,
      0.32177330011468935,
      0.31666521446134727,
      0.31163942735946076,
      0.30669458164025365,
      0.3018290865161322,
      0.29704105317847035,
      0.2923287248158307,
      0.28769054364590424,
      0.2831250854021721,
      0.2786310212848821,
      0.2742070924268642,
      0.269852093286221,
      0.2655648603968784,
      0.26134426464526705,
      0.25718920606845946,
      0.2530986105847429,
      0.24907151571081323,
      0.24510733663521855,
      0.24120547073632928,
      0.23736517769722337,
      0.2335856325650758,
      0.2298659604271399,
      0.2262052594701599,
      0.22260261572992227,
      0.21905711299789288,
      0.21556783904345597,
      0.21213388970362307,
      0.20875437158224464,
      0.2054284034088329,
      0.20215508878849142,
      0.19893345955628558,
      0.19576258370447788,
      0.19264157865430362,
      0.1895695991034616,
      0.1865458290358864,
      0.18356947591946596,
      0.18063976722346614,
      0.17775594772802547,
      0.17491727792402106,
      0.17212303268256496,
      0.1693725002348663,
      0.16666498178401445,
      0.16399979081931015,
      0.1613762526782996,
      0.15879370431104356,
      0.15625149370558497,
      0.1537489798834167,
      0.15128553274593387,
      0.14886053271514008,
      0.1464733704985776,
      0.1441234467871717,
      0.14181017225451933,
      0.13953296728530895,
      0.13729126176349893,
      0.1350844949767733,
      0.13291211542770445,
      0.13077358067227432,
      0.12866835714045324,
      0.12659591988199165,
      0.12455575247818484,
      0.12254734700489729,
      0.12057020383762482,
      0.1186238313295725,
      0.1167077458583975,
      0.11482147150980825,
      0.1129645402249825,
      0.11113649143207686,
      0.10933687200758807,
      0.1075652359753764,
      0.10582114461052562,
      0.10410416637007502,
      0.10241387653561973,
      0.10074985708866858,
      0.09911169679890733,
      0.09749899090292732,
      0.09591134131348505,
      0.09434835618983377,
      0.09280964982224081,
      0.09129484267070798,
      0.08980356146946261,
      0.08833543874255582,
      0.08689011278501735,
      0.0854672276634787,
      0.08406643320577031,
      0.08268738466999928,
      0.08132974276057593,
      0.07999317355827712,
      0.07867734857461199,
      0.07738194428140038,
      0.07610664250077646,
      0.0748511299654623,
      0.0736150982940216,
      0.07239824405050892,
      0.07120026858342872,
      0.07002087786932942,
      0.06885978257035485,
      0.06771669778415781,
      0.06659134330985296,
      0.06548344323405184,
      0.06439272597527702,
      0.06331892414649201,
      0.06226177481203472,
      0.06122101894958456,
      0.060196401601106696,
      0.05918767183502883,
      0.058194582612222115,
      0.05721689090814277,
      0.05625435735996257,
      0.055306746426871924,
      0.05437382614788313,
      0.05345536828837843,
      0.05255114821746141,
      0.05166094477991634,
      0.050784540219236216,
      0.04992172022488103,
      0.049072273810987034,
      0.04823599344327841,
      0.0474126746476075,
      0.04660211623143783,
      0.045804119999045025,
      0.04501849096814898,
      0.04424503721686725,
      0.04348356978055186,
      0.04273390256942894,
      0.041995852405270595,
      0.04126923909776361,
      0.04055388516341655,
      0.039849615904483875,
      0.03915625953392579,
      0.03847364667171002,
      0.03780161056614031,
      0.03713998722689878,
      0.03648861516440363,
      0.03584733530430309,
      0.03521599111779793,
      0.03459442853624345,
      0.03398249585289312,
      0.03338004375105863,
      0.032786925268718216,
      0.03220299551097739,
      0.031628112128082926,
      0.03106213486760553,
      0.030504925611935033,
      0.029956348475107218,
      0.02941626960912571,
      0.028884557329705345,
      0.02836108195179475,
      0.027845715753456183,
      0.027338333017330043,
      0.026838809965244428,
      0.02634702487232962,
      0.025862857737243165,
      0.025386190487201154,
      0.024916906942453645,
      0.024454892533436932,
      0.024000034647702163,
      0.023552222329203197,
      0.023111346493029747,
      0.02267729963195404,
      0.022249975942798823,
      0.021829271211387224,
      0.021415082874899585,
      0.021007310046833174,
      0.020605853293642593,
      0.020210614716112383,
      0.01982149800482502,
      0.019438408279242692,
      0.019061252123180078,
      0.018689937562423337,
      0.018324374136995496,
      0.017964472762919906,
      0.017610145784110492,
      0.017261306806736213,
      0.01691787077450406,
      0.016579753953111127,
      0.016246873945770027,
      0.01591914961184383,
      0.015596501035097445,
      0.01527884968773657,
      0.014966118134970677,
      0.014658230100601282,
      0.014355110555928249,
      0.014056685705656675,
      0.013762882780979195,
      0.013473630282415142,
      0.013188857724856756,
      0.012908495590229987,
      0.01263247553185245,
      0.012360730297362971,
      0.012093193782923924,
      0.011829800742149666,
      0.011570486956535788,
      0.011315189276046108,
      0.011063845429490848,
      0.010816394276544898,
      0.01057277555270007,
      0.010332929819036635,
      0.010096798642320994,
      0.0098643245631832,
      0.009635450864191639,
      0.009410121856416695,
      0.009188282527094362,
      0.008969878883798615,
      0.008754857666200329,
      0.008543166537927438,
      0.008334753836360502,
      0.008129568758316448,
      0.00792756144051318,
      0.007728682630201049,
      0.007532883905545319,
      0.007340117504488748,
      0.007150336474666842,
      0.0069634946035647734,
      0.006779546332527736,
      0.0065984468326537316,
      0.006420152000316745,
      0.006244618494085596,
      0.006071803462937372,
      0.005901664785224511,
      0.005734160985969454,
      0.005569251271239592,
      0.0054068955908109905,
      0.005247054296362939,
      0.005089688526720093,
      0.004934759889851309,
      0.004782230617534456,
      0.004632063506136855,
      0.004484221961453802,
      0.004338669982273516,
      0.004195372159000161,
      0.0040542936048920545,
      0.0039153998059083496,
      0.003778657007324739,
      0.003644031953783214,
      0.0035114918285515133,
      0.003381004436871937,
      0.0032525378947246813,
      0.0031260609109697943,
      0.003001542670847526,
      0.0028789528103633014,
      0.0027582614562294988,
      0.0026394391784148614,
      0.002522457116451917,
      0.0024072867580325345,
      0.002293900005162995,
      0.0021822692038017347,
      0.0020723671625004344,
      0.0019641671474558563,
      0.0018576427775926633,
      0.0017527681627088074,
      0.0016495176745017967,
      0.0015478662087223302,
      0.0014477889656984567,
      0.0013492616138116517,
      0.0012522601811587623,
      0.0011567609361325343,
      0.0010627406122592506,
      0.0009701763676415089,
      0.0008790456444628076,
      0.0007893263222602589,
      0.0007009965166089812,
      0.0006140345946931252,
      0.0005284194023859771,
      0.00044413005378633573,
      0.00036114604018152853,
      0.00027944723856582985,
      0.00019901369249963955,
      0.00011982590306180504,
      4.1864459341300366e-05,
      -3.488956667762354e-05,
      -0.00011045487288612656,
      -0.00018484996857310725,
      -0.0002580929860387293,
      -0.0003302017392785777,
      -0.00040119385123164506,
      -0.00047108658737333677,
      -0.000539896917409371,
      -0.0006076415816527035,
      -0.000674337036067561,
      -0.0007399995676341073,
      -0.0008046452565014616,
      -0.0008682897912322428,
      -0.0009309487018811453,
      -0.0009926372557090076,
      -0.0010533703900063663,
      -0.0011131629421711933,
      -0.0011720295493305305,
      -0.0012299844510745232,
      -0.001287041780800381,
      -0.0013432154876691907,
      -0.0013985192322462322,
      -0.0014529664974823806,
      -0.001506570577897956,
      -0.0015593445238801015,
      -0.0016113011671681462,
      -0.0016624531651220273,
      -0.0017128129676358356,
      -0.0017623928341454747,
      -0.00181120490729011,
      -0.001859261088776979,
      -0.0019065730733628448,
      -0.0019531523566562285,
      -0.0019990102931211427,
      -0.002044158057579047,
      -0.002088606670312096,
      -0.0021323669639544,
      -0.00217544954961554,
      -0.0022178648648966204,
      -0.0022596232530059917,
      -0.0023007348699304662,
      -0.0023412098133270415,
      -0.002381057958434282,
      -0.0024202890096471905,
      -0.002458912475127389,
      -0.0024969377549363403,
      -0.0025343742224195978,
      -0.0025712309239708376,
      -0.0026075167989667693
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335096297801346,
      10.094840254084623,
      9.848891982414152,
      9.599919452895245,
      9.350259162310069,
      9.101939628045463,
      8.856652279314126,
      8.615737765800997,
      8.380186864824706,
      8.150656774064446,
      7.927501408721425,
      7.710812748812856,
      7.5004680110255695,
      7.296178569870968,
      7.097539152133051,
      6.904072237151015,
      6.715264986302763,
      6.530601548876391,
      6.349588436390897,
      6.17177150082536,
      5.996748946310654,
      5.824169053000268,
      5.6537500578259525,
      5.485292409371298,
      5.318673307871921,
      5.1538481618329,
      4.990848146550711,
      4.829772514375422,
      4.670789354818486,
      4.5141534555460705,
      4.360195691787853,
      4.2092760493254415,
      4.061776968311732,
      3.9180906460682454,
      3.7786079060295648,
      3.6436951112778218,
      3.513679682573945,
      3.3888417786018508,
      3.2694083402810614,
      3.1555495853096307,
      3.0473775467277977,
      2.9449338440581108,
      2.8481873678148237,
      2.7570288697682037,
      2.6712889888124707,
      2.590754132318739,
      2.515183622684262,
      2.444322811255938,
      2.3779130846769165,
      2.315681425557699,
      2.2573258595942267,
      2.2024992113344806,
      2.1508264153657657,
      2.1019527453742097,
      2.055542705381233,
      2.0112893238009923,
      1.9689305686849092,
      1.9282492680529757,
      1.8890646731181047,
      1.8512335108368596,
      1.8146387103733126,
      1.779178431977578,
      1.7447639163615745,
      1.7113229848929101,
      1.6787958248882842,
      1.6471316896455657,
      1.6162865840232636,
      1.5862216341570767,
      1.5569019343820696,
      1.5282957233512735,
      1.5003737932147196,
      1.4731075107952314,
      1.4464687026266032,
      1.4204324606907632,
      1.3949762116884392,
      1.3700796726360527,
      1.3457243882297996,
      1.3218936805295836,
      1.2985731165253571,
      1.2757482737562904,
      1.2534060410785497,
      1.2315350063500605,
      1.2101232079306108,
      1.1891582755334822,
      1.1686277575662816,
      1.148519328811478,
      1.128821495264139,
      1.1095238195741113,
      1.0906162011371217,
      1.0720888899182266,
      1.0539320759257045,
      1.0361359954213938,
      1.0186910445410646,
      1.0015878472116,
      0.9848172950744389,
      0.9683705667011243,
      0.9522391352813816,
      0.9364147688998649,
      0.9208895263217272,
      0.9056557487976554,
      0.8907060507194605,
      0.8760333093474102,
      0.861630654633033,
      0.847491458062563,
      0.8336093223350325,
      0.8199780709829212,
      0.8065917391721097,
      0.7934445642143139,
      0.780530976555679,
      0.7678455909798767,
      0.7553831987764217,
      0.7431387599391307,
      0.7311073961864746,
      0.7192843836039867,
      0.7076651465038168,
      0.6962452508857417,
      0.6850204013251955,
      0.6739864620098253,
      0.6631394305750147,
      0.6524754098037356,
      0.6419906083829523,
      0.6316813389722854,
      0.6215439727841608,
      0.6115751234415743,
      0.6017718608373935,
      0.5921312445160009,
      0.582650284999298,
      0.5733259895318904,
      0.5641553906969202,
      0.5551355640551736,
      0.5462636384044274,
      0.5375368015466905,
      0.5289523035208277,
      0.5205074575668179,
      0.5121996402542125,
      0.5040262904945708,
      0.4959849086299345,
      0.48807305447457106,
      0.4802883460291382,
      0.472628457638293,
      0.4650911184719616,
      0.45767411055374574,
      0.4503752671893842,
      0.4431929289400154,
      0.4361258833717083,
      0.42917267776978846,
      0.4223316694867823,
      0.4156011095219638,
      0.40897919512407904,
      0.4024641040009242,
      0.3960540155302934,
      0.38974712373949333,
      0.3835416454671959,
      0.3774358944716705,
      0.37142846205391866,
      0.36551792140625883,
      0.35970277002004275,
      0.35398146876752096,
      0.3483524668246816,
      0.3428142173798964,
      0.3373651867869425,
      0.33200386106999474,
      0.32672882375503703,
      0.32153876640355655,
      0.31643235773040834,
      0.3114082475586728,
      0.3064650775874931,
      0.30160129991636353,
      0.29681509139426177,
      0.29210465808276426,
      0.2874684147463175,
      0.2829049191558202,
      0.2784128304979364,
      0.27399088226791757,
      0.2696378636598547,
      0.2653526077358592,
      0.2611339831027814,
      0.2569808883308857,
      0.25289224809196575,
      0.24886710783503702,
      0.24490489408556637,
      0.24100499641281864,
      0.23716666931222705,
      0.23338908440189388,
      0.2296713645370298,
      0.22601260635047804,
      0.22241189480450232,
      0.21886831295190629,
      0.2153809482562193,
      0.2119488962204364,
      0.20857126317345887,
      0.20524716766454826,
      0.2019757092551576,
      0.19875591951550525,
      0.1955868678873874,
      0.19246767290082384,
      0.1893974899734915,
      0.18637550340997608,
      0.18340092094332858,
      0.18047297022676573,
      0.17759089619447915,
      0.17475395933378185,
      0.17196143460824195,
      0.16921261044376854,
      0.16650678790150947,
      0.16384328042991897,
      0.16122141340022186,
      0.15864052372417128,
      0.15609995953971872,
      0.15359907998349998,
      0.15113725487200808,
      0.1487138646150194,
      0.14632829980807002,
      0.14397996113318254,
      0.14166825940828554,
      0.1393926149978587,
      0.1371524578485675,
      0.1349472273109443,
      0.1327763718804225,
      0.13063934920091616,
      0.12853562560537596,
      0.1264646761725135,
      0.1244259845747139,
      0.12241904293957173,
      0.12044335159093719,
      0.11849841901940182,
      0.11658376154729745,
      0.11469890329827805,
      0.11284337623636592,
      0.11101671977197614,
      0.10921848081827337,
      0.10744821351550374,
      0.10570547921435262,
      0.10398984636859586,
      0.10230089027289842,
      0.10063819305870424,
      0.09900134349038935,
      0.09738993689193778,
      0.09580357509557863,
      0.09424186636159321,
      0.09270442500814619,
      0.09119087180033043,
      0.0897008332475292,
      0.08823394196436736,
      0.0867898362699302,
      0.08536816040197613,
      0.0839685641408421,
      0.08259070280608662,
      0.08123423725345653,
      0.07989883360845887,
      0.0785841633235564,
      0.07728990310836334,
      0.07601573471003568,
      0.07476134487688155,
      0.07352642532074877,
      0.07231067274216724,
      0.07111378840887873,
      0.06993547848567055,
      0.06877545370446872,
      0.06763342937543379,
      0.06650912518926085,
      0.06540226520343824,
      0.06431257795955354,
      0.06323979619378452,
      0.06218365692539269,
      0.061143901252661254,
      0.060120274345211965,
      0.0591125253206052,
      0.058120407291891885,
      0.05714367712447618,
      0.056182095588468456,
      0.05523542716960704,
      0.05430344004982297,
      0.05338590614617673,
      0.05248260072464363,
      0.05159330273939024,
      0.05071779453652425,
      0.049855861831801546,
      0.04900729378986429,
      0.048171882785732416,
      0.047349424503203785,
      0.04653971766668318,
      0.04574256435106346,
      0.0449577695598614,
      0.044185141361695664,
      0.043424490968325596,
      0.042675632404899765,
      0.04193838251195281,
      0.04121256110146097,
      0.040497990866569765,
      0.039794497171688786,
      0.03910190813627404,
      0.03842005453488195,
      0.03774876975498665,
      0.03708788979059034,
      0.03643725314051405,
      0.03579670095182197,
      0.035166076750392586,
      0.0345452265656171,
      0.03393399861906797,
      0.03333224369640615,
      0.03273981487011296,
      0.03215656755615415,
      0.03158235931831624,
      0.03101704989112813,
      0.030460501293678218,
      0.029912577646890818,
      0.02937314517708957,
      0.028842072253157353,
      0.028319229234779336,
      0.027804488461940186,
      0.02729772432203027,
      0.026798813204131834,
      0.02630763323836943,
      0.02582406455710133,
      0.02534798921440408,
      0.02487929099178613,
      0.0244178554841088,
      0.023963570135722742,
      0.023516324117896795,
      0.023076008302269264,
      0.022642515272835922,
      0.022215739229679243,
      0.021795576085449162,
      0.021381923236014944,
      0.020974679739167997,
      0.02057374633590787,
      0.020179025360882258,
      0.019790420397957788,
      0.0194078365769469,
      0.019031180634686336,
      0.0186603606575606,
      0.018295286256006175,
      0.01793586833105835,
      0.017582019202465493,
      0.017233652538672827,
      0.0168906834318773,
      0.016553028300739094,
      0.0162206047408646,
      0.015893331640841023,
      0.015571129144113594,
      0.015253918787696524,
      0.014941623124544777,
      0.01463416599247007,
      0.014331472400067307,
      0.014033468487039687,
      0.013740081667332897,
      0.013451240363350481,
      0.013166874177215664,
      0.012886913792642023,
      0.012611290906793467,
      0.0123399382804268,
      0.012072789747683195,
      0.011809780166542274,
      0.011550845455929066,
      0.01129592240155833,
      0.011044948866107464,
      0.010797863653672846,
      0.010554606543029052,
      0.010315118210551553,
      0.010079340162900447,
      0.009847214901989454,
      0.009618686004651503,
      0.00939369769138556,
      0.009172195071863747,
      0.008954124095000803,
      0.008739431585006122,
      0.008528065325323422,
      0.008319973701044026,
      0.008115105948047773,
      0.007913412100166372,
      0.007714842971170909,
      0.007519350248046093,
      0.007326886218639754,
      0.007137404004323249,
      0.006950857299815102,
      0.006767200712907401,
      0.0065863894909377295,
      0.006408379447074742,
      0.006233127251092062,
      0.0060605902594254865,
      0.005890726322301556,
      0.0057234939809551535,
      0.0055588524449803845,
      0.005396761571877756,
      0.005237181875138869,
      0.0050800744709819795,
      0.0049254009511403305,
      0.0047731236647859015,
      0.004623205506970471,
      0.004475609983012112,
      0.004330301116090168,
      0.004187243439764129,
      0.004046402055706263,
      0.003907742655939842,
      0.0037712314262906173,
      0.00363683501534512,
      0.0035045207091507144,
      0.0033742562706319122,
      0.003246009895931993,
      0.003119750344044448,
      0.0029954468968268104,
      0.0028730692575437574,
      0.002752587584502719,
      0.0026339724503180386,
      0.002517194942735041,
      0.002402226614531666,
      0.002289039403929871,
      0.0021776057023477,
      0.0020678983224953875,
      0.001959890512350641,
      0.0018535559902355938,
      0.001748868847860894,
      0.001645803582359589,
      0.001544335097898037,
      0.0014444385753198058,
      0.001346089635520187,
      0.001249264300940997,
      0.0011539389715503772,
      0.0010600904911138226,
      0.0009676959926891518,
      0.0008767329297419469,
      0.0007871790830992933,
      0.0006990126327145149,
      0.000612212122796645,
      0.0005267563267607217,
      0.0004426244120721235,
      0.0003597957502100229,
      0.0002782502809869015,
      0.0001979681792319423,
      0.00011892982177656016,
      4.111597095756354e-05,
      -3.549231353060753e-05,
      -0.00011091368540167021,
      -0.00018516652758090676,
      -0.00025826914549953103,
      -0.00033023929179747124,
      -0.0004010944395857934,
      -0.0004708518191953603,
      -0.0005395284795849727,
      -0.0006071411069721932,
      -0.0006737063131666885,
      -0.000739240331821764,
      -0.000803759031188887,
      -0.0008672782437223898,
      -0.0009298134653781281,
      -0.0009913798721924282,
      -0.0010519923735232114,
      -0.0011116659376206367,
      -0.0011704149569933976,
      -0.0012282536994340102,
      -0.0012851963448482849,
      -0.0013412569392255208,
      -0.0013964490361959513,
      -0.0014507860938653232,
      -0.0015042813430046753,
      -0.00155694780750792,
      -0.0016087983679076469,
      -0.0016598456339969297,
      -0.001710102076926304,
      -0.0017595800084556658,
      -0.0018082913618618147,
      -0.001856248063206246,
      -0.001903461760242526,
      -0.0019499439634715508,
      -0.0019957060722918052,
      -0.0020407592162368328,
      -0.002085114330349308,
      -0.0021287822745585817,
      -0.0021717737617498296,
      -0.0022140992407637386,
      -0.0022557690202899706,
      -0.002296793309155141,
      -0.002337182008413405,
      -0.0023769449854924574,
      -0.0024160919220895106,
      -0.0024546323651549714,
      -0.0024925756877674393,
      -0.002529931189554255,
      -0.002566707974333035,
      -0.002602914966725722
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335092864252111,
      10.09482753396998,
      9.848864111612288,
      9.599872221163444,
      9.350189653854695,
      9.101845955599549,
      8.856533342948534,
      8.615593045519434,
      8.380016239766725,
      8.150460373483416,
      7.927279508507814,
      7.710565794156195,
      7.500196459112886,
      7.295882813582608,
      7.097219496264817,
      6.903728930224708,
      6.714898261540453,
      6.530211659101579,
      6.3491757180064035,
      6.171336431446276,
      5.99629223483911,
      5.823691638981149,
      5.653253064889494,
      5.484777181238142,
      5.318141440373414,
      5.153301497637303,
      4.990288683704061,
      4.829202478125941,
      4.6702112638024245,
      4.5135705668767985,
      4.359611533038122,
      4.208694129465183,
      4.061200748984315,
      3.9175235265520434,
      3.7780532383907093,
      3.6431559575624766,
      3.5131587655526197,
      3.3883414433142383,
      3.268930528951195,
      3.1550958254062262,
      3.046948885004101,
      2.9445307972165704,
      2.847809963470375,
      2.7566765366990587,
      2.670960558600029,
      2.590447913977375,
      2.5148977715557614,
      2.444055410724035,
      2.377662021232144,
      2.3154444988308454,
      2.257100945381723,
      2.2022837669973248,
      2.150617940630276,
      2.1017489763079094,
      2.055341678710636,
      2.011089201568859,
      1.9687299363339537,
      1.9280470737069335,
      1.8888601583776679,
      1.8510261386519224,
      1.8144281046008355,
      1.7789642923332438,
      1.744546034549149,
      1.7111012430786876,
      1.678570168227397,
      1.6469021077137593,
      1.616053097126095,
      1.5859842838806506,
      1.5566607764167908,
      1.5280508230037944,
      1.500125222035224,
      1.4728553732120866,
      1.4462131181315363,
      1.4201735547314132,
      1.3947140933388853,
      1.3698144544785515,
      1.3454561759688408,
      1.3216227061451193,
      1.2982996053928617,
      1.275472398624367,
      1.2531281400561873,
      1.2312554058361445,
      1.2098421399443777,
      1.1888759094881536,
      1.168344221371416,
      1.148234722366707,
      1.1285359199036726,
      1.1092373656590377,
      1.090328952992317,
      1.0718009217611346,
      1.0536434502265706,
      1.0358467672981024,
      1.0184012641053013,
      1.001297561139927,
      0.9845265468470658,
      0.968079397694371,
      0.9519475859020771,
      0.9361228787454359,
      0.9205973338243052,
      0.9053632917244747,
      0.8904133662582475,
      0.8757404342357216,
      0.8613376247198578,
      0.8471983088283026,
      0.8333160887424322,
      0.8196847878289295,
      0.8062984405170064,
      0.7931512834638379,
      0.7802377464837175,
      0.7675524440991393,
      0.7550901669383732,
      0.7428458744602419,
      0.7308146880423969,
      0.7189918833365979,
      0.70737288412065,
      0.6959532555737462,
      0.6847287075643296,
      0.6736951114289755,
      0.6628484590360978,
      0.6521848496805941,
      0.6417004896524866,
      0.6313916895802231,
      0.6212548178796201,
      0.6112865902529592,
      0.6014840815261498,
      0.5918443102411813,
      0.5823642602770317,
      0.5730409213418851,
      0.5638713146794303,
      0.5548525080201074,
      0.5459816249700415,
      0.5372558499925998,
      0.5286724308097008,
      0.5202286791757742,
      0.5119219704609556,
      0.5037497427810799,
      0.49570949546788645,
      0.4877987878142695,
      0.48001523732371404,
      0.47235651778526483,
      0.46482035782387154,
      0.45740453917735363,
      0.450106894838804,
      0.4429258536896265,
      0.4358602066504842,
      0.4289084650798756,
      0.42206896325656107,
      0.41533993729544605,
      0.4087195747685291,
      0.40220604704470797,
      0.3957975292533178,
      0.389492212710429,
      0.3832883124054296,
      0.3771841589816132,
      0.3711783540857296,
      0.3652694589182105,
      0.3594559633897179,
      0.35373632341463596,
      0.34810898483303915,
      0.3425723984429321,
      0.337125029370106,
      0.33176536254820743,
      0.326491992208643,
      0.3213036099964072,
      0.31619887947117004,
      0.3111764472763165,
      0.30623495423556646,
      0.30137285247358436,
      0.29658840701620315,
      0.2918798292530667,
      0.28724549899300034,
      0.2826839508612436,
      0.2781938289571224,
      0.2737738566227252,
      0.2694228165343084,
      0.2651395373439844,
      0.2609228845747337,
      0.25677175496206267,
      0.25268507196012274,
      0.2486618886506817,
      0.24470164268728062,
      0.2408037156848352,
      0.2369673569971768,
      0.23319173478288552,
      0.2294759696221348,
      0.22581915661462382,
      0.22222037970776562,
      0.2186787213510257,
      0.21519326840518654,
      0.2117631160605468,
      0.2083873704170194,
      0.20506514996592787,
      0.20179555006764352,
      0.19857760199728341,
      0.1954103766282548,
      0.19229299355505974,
      0.1892246088323906,
      0.18620440723066994,
      0.18323159681632917,
      0.18030540532937553,
      0.17742507796369703,
      0.17458987534675982,
      0.17179907242441822,
      0.16905195750344956,
      0.16634783185592497,
      0.16368600891771704,
      0.16106581411001536,
      0.15848658427163426,
      0.15594766757958206,
      0.15344842316198232,
      0.15098822086780186,
      0.14856644102690678,
      0.146182474353991,
      0.1438357216959903,
      0.14152559371944803,
      0.13925151082897252,
      0.13701290297362584,
      0.1348092095509094,
      0.13263987901379987,
      0.13050436894381592,
      0.12840214576298106,
      0.12633268466311207,
      0.12429546941570138,
      0.12228999208080926,
      0.1203157529957341,
      0.11837226063064706,
      0.11645903138044411,
      0.11457558951530011,
      0.11272146701016292,
      0.11089620329678937,
      0.10909934528168627,
      0.10733044717860515,
      0.10558907026274433,
      0.10387478308095761,
      0.102187160979674,
      0.10052578608844007,
      0.09889024725553877,
      0.09728013997484748,
      0.09569506613771155,
      0.0941346339656317,
      0.092598457843531,
      0.0910861584923338,
      0.08959736252691154,
      0.0881317026517766,
      0.0866888173147934,
      0.08526835064486842,
      0.08386995255273692,
      0.08249327847952063,
      0.08113798924467107,
      0.07980375104330811,
      0.07849023547182724,
      0.07719711921372997,
      0.07592408410268024,
      0.07467081692404166,
      0.07343700961009098,
      0.07222235869583542,
      0.07102656569576685,
      0.06984933676627607,
      0.06869038266854538,
      0.06754941869045612,
      0.06642616470296225,
      0.06532034478797377,
      0.06423168758772235,
      0.06315992589777586,
      0.06210479668601724,
      0.061066041215750336,
      0.06004340470765592,
      0.05903663636325856,
      0.05804548927886505,
      0.05706972038042206,
      0.056109090608049715,
      0.055163364587455695,
      0.05423231054753297,
      0.05331570031799386,
      0.05241330933414606,
      0.0515249166043423,
      0.050650304503293705,
      0.04978925881328768,
      0.04894156872433815,
      0.04810702671316223,
      0.0472854285658048,
      0.046476573122420164,
      0.04568026243181794,
      0.044896301641183564,
      0.04412449885001194,
      0.04336466529321903,
      0.042616615132146526,
      0.04188016531735424,
      0.04115513576089104,
      0.04044134910317838,
      0.03973863074501977,
      0.039046808800433826,
      0.038365714210320284,
      0.03769518047806234,
      0.03703504362201977,
      0.036385142341517525,
      0.035745317651753185,
      0.035115413173954294,
      0.03449527502468899,
      0.033884751530642965,
      0.033283693546769466,
      0.032691954109203475,
      0.03210938866358897,
      0.03153585495858005,
      0.030971212853300654,
      0.030415324425045635,
      0.02986805388236159,
      0.029329267390838302,
      0.028798833466192938,
      0.02827662242868533,
      0.02776250672320719,
      0.02725636077698372,
      0.02675806099841172,
      0.02626748570100118,
      0.02578451508548722,
      0.025309031235739375,
      0.024840918013660108,
      0.024380061152010093,
      0.023926348118990422,
      0.023479668021365727,
      0.023039911755848935,
      0.022606972052896777,
      0.02218074317750247,
      0.021761120986125843,
      0.02134800300237126,
      0.02094128843569784,
      0.02054087799026346,
      0.020146673940399644,
      0.019758580072406037,
      0.019376501657500784,
      0.019000345437034192,
      0.018630019549715753,
      0.018265433668088322,
      0.01790649872715229,
      0.017553127090674192,
      0.017205232576884822,
      0.016862730165055552,
      0.016525536311380862,
      0.016193568780447424,
      0.015866746577409226,
      0.015544989744966861,
      0.015228219832487833,
      0.01491635962018334,
      0.014609332937252768,
      0.014307064948584188,
      0.014009481835807257,
      0.013716510953100225,
      0.013428080796881027,
      0.013144120979990853,
      0.012864562146275536,
      0.012589336099548825,
      0.01231837563138496,
      0.012051614645762055,
      0.011788988084124812,
      0.011530431899300078,
      0.011275882931540424,
      0.011025279181708121,
      0.0107785594787551,
      0.010535663522193065,
      0.010296532095690163,
      0.010061106847437374,
      0.009829330296470882,
      0.00960114583628919,
      0.009376497919944484,
      0.00915533174014493,
      0.008937593173354292,
      0.008723229146423886,
      0.008512187377293522,
      0.008304416379838829,
      0.00809986550357967,
      0.007898484798525016,
      0.0077002251373806925,
      0.00750503809232889,
      0.007312876120749424,
      0.007123692257634706,
      0.006937440351163408,
      0.0067540749768275465,
      0.0065735514120343775,
      0.006395825702275593,
      0.0062208543676806356,
      0.0060485946777547196,
      0.005879004706208383,
      0.005712043109358387,
      0.0055476690526578215,
      0.005385842534176657,
      0.005226524080957558,
      0.005069674766189937,
      0.004915256278817764,
      0.004763230817817453,
      0.004613561401809288,
      0.004466211571207962,
      0.004321145397767871,
      0.004178327477163472,
      0.004037722968229064,
      0.003899297532368048,
      0.003763017472446156,
      0.0036288494286621513,
      0.0034967606547467544,
      0.0033667190039396427,
      0.0032386927774192675,
      0.003112650739691361,
      0.002988562167819074,
      0.0028663967307696065,
      0.0027461245865579185,
      0.002627716354383364,
      0.0025111431900326077,
      0.0023963766025671515,
      0.0022833885970183873,
      0.0021721516535565507,
      0.002062638663879848,
      0.001954822882239658,
      0.0018486779920503624,
      0.0017441781680644529,
      0.0016412979048887118,
      0.0015400121014491723,
      0.0014402960005857552,
      0.0013421252827485464,
      0.001245475995833297,
      0.0011503245883795563,
      0.0010566478237107393,
      0.0009644228156734467,
      0.000873627078809071,
      0.0007842385038559394,
      0.0006962352707064537,
      0.0006095958773517794,
      0.0005242991573196407,
      0.0004403243936339656,
      0.0003576510467299983,
      0.00027625901101079416,
      0.00019612841495830844,
      0.00011723962583836095,
      3.957338256163097e-05,
      -3.688919724275637e-05,
      -0.00011216675494716968,
      -0.00018627766236907565,
      -0.000259239979334955,
      -0.00033107157572051315,
      -0.0004017899913006773,
      -0.0004714124157809831,
      -0.0005399558643768818,
      -0.000607437066472846,
      -0.0006738724677962083,
      -0.0007392782312715699,
      -0.0008036702369296541,
      -0.0008670643031943618,
      -0.000929475924656156,
      -0.0009909202183267095,
      -0.0010514123011097721,
      -0.0011109669291687,
      -0.001169598613374732,
      -0.0012273216187917964,
      -0.001284150027215876,
      -0.0013400976968828413,
      -0.0013951782725067884,
      -0.001449405162206452,
      -0.0015027916669290626,
      -0.0015553508542688608,
      -0.0016070954889791152,
      -0.00165803815297841,
      -0.0017081912248459344,
      -0.0017575670620960798,
      -0.0018061777760157932,
      -0.0018540351456491474,
      -0.0019011508295389444,
      -0.0019475364051260344,
      -0.0019932030895664647,
      -0.0020381620384540703,
      -0.002082424256016081,
      -0.002126000434674654,
      -0.0021689012387527654,
      -0.0022111371681680625,
      -0.0022527185617385367,
      -0.0022936555293372437,
      -0.002333958068014274,
      -0.0023736359741711763,
      -0.0024126989773407405,
      -0.0024511565301299117,
      -0.00248901802378454,
      -0.0025262927610939373,
      -0.002562989872351976,
      -0.0025991181537980425
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335089416057489,
      10.094814754751262,
      9.848836121053125,
      9.599824805487232,
      9.350119894254505,
      9.10175196316436,
      8.856414018409549,
      8.615447868901699,
      8.379845091549436,
      8.150263382670149,
      7.92705696564909,
      7.710318158465118,
      7.499924183619805,
      7.295586291260735,
      7.09689903152972,
      6.903384769818686,
      6.714530636792624,
      6.529820821119186,
      6.348762003162977,
      6.17090031728817,
      5.995834429188704,
      5.823213080002095,
      5.652754874935864,
      5.4842607034126996,
      5.317608270947116,
      5.1527534799894665,
      4.98972781793997,
      4.828630992529189,
      4.669631682500463,
      4.512986152915555,
      4.359025818817794,
      4.208110628131542,
      4.060622927147851,
      3.916954788128087,
      3.7774969385160193,
      3.6426151609900868,
      3.5126361983982144,
      3.387839454995255,
      3.2684510658741734,
      3.154640418626181,
      3.046518583469085,
      2.9441261185703063,
      2.8474309359858383,
      2.7563225887275813,
      2.6706305207986816,
      2.5901400969227675,
      2.514610332586227,
      2.4437864344438136,
      2.3774093949767936,
      2.3152060239185546,
      2.2568744988423877,
      2.2020668080361294,
      2.15040797031925,
      2.1015437308366636,
      2.0551391947248043,
      2.010887640328577,
      1.9685278817317373,
      1.927843472577214,
      1.8886542519900449,
      1.8508173898548537,
      1.8142161373111791,
      1.7787488058094227,
      1.7443268196812616,
      1.7108781806172606,
      1.6783432027416834,
      1.6466712277594777,
      1.6158183223754625,
      1.5857456551711302,
      1.5564183486828953,
      1.5278046615071528,
      1.4998753980821362,
      1.4726019904376566,
      1.4459562959618761,
      1.419913418111567,
      1.3944507510695252,
      1.369548018695581,
      1.3451867523722454,
      1.321350530717606,
      1.2980249049669264,
      1.2751953430863805,
      1.2528490659312461,
      1.2309746395767547,
      1.2095599134347026,
      1.1885923915163688,
      1.1680595391428972,
      1.1479489755597085,
      1.1282492098627022,
      1.1089497824313048,
      1.090040580521811,
      1.0715118339213991,
      1.0533537098452401,
      1.0355564296395767,
      1.0181103789143435,
      1.0010061744189795,
      0.984234702520117,
      0.967787137634533,
      0.9516549502555732,
      0.9358299066533832,
      0.920304063932479,
      0.9050697619233725,
      0.8901196135169229,
      0.8754464949354546,
      0.8610435350313191,
      0.8469041041147138,
      0.8330218038190487,
      0.8193904569094652,
      0.8060040975584618,
      0.792856961741079,
      0.7799434788678338,
      0.7672582627937571,
      0.7547961036910016,
      0.742551960918101,
      0.730520954880613,
      0.7186983606490249,
      0.7070796013445216,
      0.695660242067529,
      0.6844360017265853,
      0.6734027530733745,
      0.6625564834209153,
      0.6518932888441327,
      0.6414093729190374,
      0.6311010445356207,
      0.6209646881442585,
      0.6109971119380159,
      0.6011953771059984,
      0.5915564645931856,
      0.5820773338521023,
      0.5727549585720431,
      0.5635863491750384,
      0.5545685664800718,
      0.5456987295376823,
      0.5369740197263442,
      0.5283916825014441,
      0.5199490279780444,
      0.5116434302232145,
      0.5034723263254458,
      0.4954332151360491,
      0.487523655473074,
      0.4797412643640227,
      0.47208371519077563,
      0.46454873618275966,
      0.45713410848394465,
      0.4498376917301055,
      0.44265798821699187,
      0.4355937654406021,
      0.4286435043870225,
      0.42180551959585744,
      0.415078034161585,
      0.4084592275245023,
      0.4019472655638795,
      0.39554031977505805,
      0.38923657917022525,
      0.38303425709149425,
      0.37693170859850067,
      0.3709275356259347,
      0.36502028854211377,
      0.3592084501665723,
      0.3534904717625749,
      0.3478647962394232,
      0.3423298725344713,
      0.33688416450345443,
      0.3315261561119653,
      0.32625445212681553,
      0.3210677441571796,
      0.31596469089441753,
      0.3109439358346995,
      0.3060041185645801,
      0.30114369124000273,
      0.2963609904720727,
      0.291654256111111,
      0.2870218305145341,
      0.2824622240217331,
      0.2779740646412463,
      0.2735560651119371,
      0.26920700109537454,
      0.26492569656809634,
      0.26071101413769004,
      0.25656184840465657,
      0.2524771215735097,
      0.24845589684779645,
      0.2444976194369301,
      0.24060166342354028,
      0.236767273172224,
      0.23299361341900665,
      0.22927980247944516,
      0.2256249340186024,
      0.22202809105435944,
      0.21848835527612379,
      0.21500481310265906,
      0.21157655941937034,
      0.20820270016839648,
      0.2048823536762523,
      0.20161461114795176,
      0.1983985035451245,
      0.19523310339601557,
      0.1921175311639468,
      0.1890509437011764,
      0.1860325261628069,
      0.18306148691865184,
      0.18013705404582817,
      0.17725847271469816,
      0.17442500357504864,
      0.17163592155139948,
      0.16889051509426103,
      0.16618808554905706,
      0.16352794639250684,
      0.16090942299655006,
      0.15833185222517612,
      0.15579458223981527,
      0.15329697221359354,
      0.15083839192879014,
      0.14841822180359168,
      0.1460358524900812,
      0.14369068479309027,
      0.14138212947113188,
      0.13910960706598016,
      0.13687254753070485,
      0.13467039015264845,
      0.13250258349039662,
      0.1303685851159624,
      0.12826786152353514,
      0.12619988797624637,
      0.12416414815666238,
      0.12216013415495615,
      0.12018734638773972,
      0.11824529331321221,
      0.11633349137580826,
      0.11445146492473467,
      0.11259874587150058,
      0.11077487384904408,
      0.10897939577187427,
      0.10721186582741113,
      0.10547184543356766,
      0.10375890296559688,
      0.1020726139323782,
      0.10041256053379628,
      0.09877833166028531,
      0.09716952282594818,
      0.09558573597129366,
      0.09402657940867144,
      0.09249166764910136,
      0.09098062141011243,
      0.08949306737060915,
      0.08802863821407043,
      0.08658697242511355,
      0.0851677142718244,
      0.08377051365536814,
      0.08239502606868895,
      0.08104091236493872,
      0.07970783888833581,
      0.07839547715351387,
      0.077103503976258,
      0.07583160129845476,
      0.07457945595516187,
      0.0733467597518703,
      0.07213320940682187,
      0.07093850649855307,
      0.06976235722092519,
      0.0686044725177835,
      0.0674645677829661,
      0.0663423628374913,
      0.06523758203111951,
      0.06414995390874997,
      0.06307921135653219,
      0.062025091318831986,
      0.06098733505815868,
      0.059965687934612495,
      0.05895989921342055,
      0.05796972207798448,
      0.05699491368258139,
      0.056035234806494714,
      0.0550904501642972,
      0.05416032804355392,
      0.05324464043331047,
      0.05234316280335915,
      0.051455674208854794,
      0.05058195712814244,
      0.04972179743437157,
      0.0488749843927411,
      0.048041310517740486,
      0.04722057163364135,
      0.04641256664193621,
      0.0456170977587729,
      0.04483397019226859,
      0.04406299211097439,
      0.04330397475417978,
      0.04255673224197585,
      0.041821081609650146,
      0.041096842824407696,
      0.04038383873373945,
      0.03968189473222412,
      0.038990839141052225,
      0.038310502860773185,
      0.0376407194409904,
      0.03698132493442605,
      0.036332158075535505,
      0.035693059998538536,
      0.03506387452119518,
      0.034444447656783415,
      0.033834627910582504,
      0.03323426610829853,
      0.03264321550767153,
      0.03206133153727604,
      0.03148847188741961,
      0.03092449655247782,
      0.030369267621344957,
      0.02982264933026482,
      0.029284508130483215,
      0.028754712408314766,
      0.0282331326258163,
      0.02771964138723578,
      0.027214113150808322,
      0.02671642427237756,
      0.026226453113480083,
      0.02574407996012102,
      0.025269186974517053,
      0.024801658083746916,
      0.0243413789903453,
      0.023888237189263355,
      0.02344212205570533,
      0.023002924609509333,
      0.02257053740650898,
      0.022144854824213318,
      0.021725772877285134,
      0.02131318912208677,
      0.020907002783643647,
      0.020507114660064545,
      0.020113427064636143,
      0.01972584390782621,
      0.01934427047350863,
      0.018968613455029894,
      0.01859878106692729,
      0.018234683015894995,
      0.01787623039538568,
      0.017523335578868756,
      0.01717591239164221,
      0.016833876008574496,
      0.01649714287617596,
      0.01616563077950236,
      0.015839258786996872,
      0.015517947124138556,
      0.015201617344435153,
      0.014890192097823645,
      0.014583595355726783,
      0.01428175226552422,
      0.01398458911788701,
      0.013692033350431424,
      0.013404013473021094,
      0.013120459175695175,
      0.012841301205348259,
      0.012566471374266858,
      0.012295902616970954,
      0.012029528790901812,
      0.011767284919647878,
      0.011509106905915695,
      0.01125493168759029,
      0.0110046972384786,
      0.01075834240104712,
      0.010515807072943958,
      0.010277031958529572,
      0.010041958825994846,
      0.009810530266169112,
      0.0095826897408379,
      0.009358381640953399,
      0.0091375512145371,
      0.008920144479223298,
      0.008706108474982812,
      0.008495390833393983,
      0.008287940049389262,
      0.008083705520803404,
      0.007882637413573958,
      0.007684686676099968,
      0.007489804897494226,
      0.007297944512192354,
      0.007109058600364591,
      0.006923101072963894,
      0.006740026586107376,
      0.006559790433217797,
      0.006382348662059668,
      0.006207657978770234,
      0.006035675622295329,
      0.0058663596292503,
      0.005699668522865927,
      0.005535561722696194,
      0.005373999149945793,
      0.005214941420198193,
      0.0050583496377991565,
      0.004904185580368822,
      0.0047524116951463856,
      0.00460299081152402,
      0.0044558863769905725,
      0.004311062561631289,
      0.004168484060174072,
      0.004028116029799127,
      0.003889924214324176,
      0.0037538749432762934,
      0.0036199349613794895,
      0.0034880715334919712,
      0.003358252487974155,
      0.0032304460011116478,
      0.003104620936788872,
      0.0029807465460957873,
      0.0028587926327725737,
      0.0027387294410884553,
      0.002620527628165055,
      0.0025041583395300757,
      0.0023895931467463713,
      0.0022768041012094665,
      0.002165763675451301,
      0.0020564447631275327,
      0.0019488207315780065,
      0.0018428652535887363,
      0.001738552490636085,
      0.0016358568956511314,
      0.0015347534501188905,
      0.0014352174194223184,
      0.0013372245357261734,
      0.0012407508007756442,
      0.0011457726908846294,
      0.0010522671471520414,
      0.0009602113004818619,
      0.0008695826044361058,
      0.0007803589565736205,
      0.0006925186246072641,
      0.000606040129024311,
      0.0005209023752364503,
      0.00043708455159933106,
      0.000354566225864023,
      0.00027332719485216855,
      0.00019334772343587963,
      0.00011460818694083274,
      3.7089382286953175e-05,
      -3.922771288825416e-05,
      -0.00011436165862662482,
      -0.0001883307463268645,
      -0.0002611530833822879,
      -0.00033284642886867487,
      -0.00040342830788827764,
      -0.0004729159274410204,
      -0.0005413262760169956,
      -0.0006086760248872105,
      -0.0006749815871157785,
      -0.0007402592011105634,
      -0.0008045247780677532,
      -0.0008677939963287797,
      -0.000930082381947397,
      -0.0009914051405061717,
      -0.0010517771790111332,
      -0.0011112132213328524,
      -0.001169727777039802,
      -0.0012273351539224702,
      -0.001284049437778283,
      -0.0013398844267808966,
      -0.0013948538066548494,
      -0.0014489710008163954,
      -0.0015022492356655572,
      -0.0015547014972277409,
      -0.001606340556644375,
      -0.0016571789885058525,
      -0.0017072292583950495,
      -0.00175650361272503,
      -0.0018050140124896339,
      -0.0018527722945675638,
      -0.001899790135617147,
      -0.0019460790214941345,
      -0.0019916502796298785,
      -0.0020365150153578695,
      -0.002080684162048535,
      -0.002124168511031737,
      -0.0021669786778035975,
      -0.0022091251499557845,
      -0.0022506182394036573,
      -0.0022914680529547305,
      -0.0023316845953783682,
      -0.0023712776370808557,
      -0.002410256847891332,
      -0.0024486317586625457,
      -0.0024864117477824115,
      -0.0025236060653651246,
      -0.002560223678513957,
      -0.0025962736057768628
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335085957184061,
      10.0948019203808,
      9.848808004078599,
      9.599777191531908,
      9.350049866508831,
      9.101657634685784,
      8.856294289098265,
      8.615302219315176,
      8.379673403500604,
      8.150065788349341,
      7.926833787879127,
      7.710069877734416,
      7.499651249638335,
      7.29528909118113,
      7.096577865449859,
      6.903039883066697,
      6.714162258673126,
      6.529429199788832,
      6.3483474716731925,
      6.170463350666156,
      5.995375731924462,
      5.822733587708194,
      5.652255708467061,
      5.483743205447793,
      5.317074037352865,
      5.1522043554932715,
      4.98916580573504,
      4.828058325438151,
      4.669050887626976,
      4.512400496148935,
      4.358438835853638,
      4.20752583682679,
      4.060043797520125,
      3.9163847280380484,
      3.776939308092688,
      3.642073029290966,
      3.5121122945426566,
      3.387336130619952,
      3.267970269755764,
      3.1541836841679185,
      3.0460869612747996,
      2.9437201273023526,
      2.8470506034479595,
      2.7559673426160507,
      2.6702991919819974,
      2.589830995261504,
      2.514321615243405,
      2.4435161866141017,
      2.3771555049394886,
      2.314966293842242,
      2.256646807835204,
      2.20184861623137,
      2.1501967802573914,
      2.1013372805383477,
      2.054935520962198,
      2.0106849015486152,
      1.9683246595823638,
      1.9276387134084882,
      1.8884471962692555,
      1.850607500231837,
      1.8140030376815584,
      1.77853219388971,
      1.7441064847549734,
      1.7106540024815509,
      1.678115125162503,
      1.6464392397119354,
      1.6155824433469976,
      1.5855059261809352,
      1.5561748249636815,
      1.5275574075187923,
      1.499624484759239,
      1.4723475217829978,
      1.4456983918005184,
      1.4196522038739672,
      1.394186334809956,
      1.3692805128643828,
      1.3449162624718751,
      1.321077297518149,
      1.2977491580630671,
      1.2749172607887265,
      1.252568988542768,
      1.2306928861785125,
      1.209276711173543,
      1.188307906414869,
      1.1677738964940092,
      1.147662273373078,
      1.1279615481601701,
      1.1086612506402302,
      1.0897512625180978,
      1.071221803759976,
      1.053063030227399,
      1.0352651553977903,
      1.0178185595664624,
      1.000713855895843,
      0.9839419281702053,
      0.9674939491682282,
      0.9513613880195332,
      0.935536009896295,
      0.9200098710632091,
      0.9047753105569191,
      0.8898249408687304,
      0.8751516377506058,
      0.8607485293024196,
      0.8466089850967996,
      0.8327266062903198,
      0.8190952152202418,
      0.8057088456219395,
      0.7925617330668036,
      0.7796483062312715,
      0.766963178431611,
      0.7545011394881974,
      0.7422571480020234,
      0.7302263241481611,
      0.7184039423703733,
      0.7067854253946657,
      0.6953663383790699,
      0.6841424102770755,
      0.6731095131613986,
      0.6622636295523302,
      0.6516008524226171,
      0.6411173828780017,
      0.6308095280839826,
      0.6206737243722997,
      0.6107068531053048,
      0.6009059270137745,
      0.5912678960825823,
      0.5817896994443027,
      0.5724682975797505,
      0.5633006921460353,
      0.5542839379534545,
      0.5454151499098038,
      0.5366915067158344,
      0.528110252167224,
      0.5196686948356587,
      0.5113642080629814,
      0.5031942283099123,
      0.49515625373797434,
      0.48724784250664593,
      0.47946661113689704,
      0.4718102326490098,
      0.4642764347699036,
      0.45686299842631223,
      0.4495678291435552,
      0.4423894914076712,
      0.43532671063655337,
      0.42837794093680787,
      0.4215414796366788,
      0.41481553861054876,
      0.40819829001658503,
      0.40168789501210383,
      0.3952825217650327,
      0.3889803570844603,
      0.3827796130439423,
      0.37667866934488664,
      0.37067612795233174,
      0.3647705285006748,
      0.3589603467905431,
      0.35324402960793755,
      0.34762001695331257,
      0.3420867556591767,
      0.33664270818040587,
      0.33128635809607265,
      0.32601632069370073,
      0.3208312870239161,
      0.3157299110481115,
      0.31071083307523994,
      0.305772691567476,
      0.30091393885043016,
      0.29613295752516317,
      0.2914280503136187,
      0.28679751894678907,
      0.2822398472877367,
      0.27775364601887415,
      0.27333761641814897,
      0.2689905266495485,
      0.2647111958151549,
      0.2604984831695344,
      0.256351281009773,
      0.25226851005948153,
      0.24824924894881967,
      0.24429294342228225,
      0.24039896052699428,
      0.2365665399886398,
      0.23279484346799745,
      0.2290829873486952,
      0.22543006386249015,
      0.22183515509849586,
      0.21829734207537907,
      0.21481571082073095,
      0.21138935599088485,
      0.20801738324302418,
      0.2046989108658481,
      0.20143302581966252,
      0.1982187587779595,
      0.1950551837706809,
      0.19194142226891497,
      0.18887663179407538,
      0.185859998062462,
      0.18289072959309338,
      0.1799680547342024,
      0.1770912188842019,
      0.1742594827635281,
      0.17147212135555895,
      0.1687284231828714,
      0.1660276893959038,
      0.1633692335170038,
      0.1607523810252699,
      0.1581764687819214,
      0.1556408449493258,
      0.15314486865391325,
      0.15068790982468294,
      0.14826934885087606,
      0.1458885764530621,
      0.1435449934170355,
      0.14123801051556548,
      0.13896704820983874,
      0.1367315364806708,
      0.13453091468733763,
      0.1323646314282378,
      0.13023214430821942,
      0.12813291985348138,
      0.12606643321799388,
      0.12403216822805463,
      0.12202961703315444,
      0.12005828012032312,
      0.11811766592113154,
      0.11620729091482188,
      0.11432667948962914,
      0.11247536355564954,
      0.11065288272257078,
      0.1088587839679643,
      0.10709262160296006,
      0.10535395719828328,
      0.10364235915885979,
      0.10195740294476074,
      0.10029867078686303,
      0.09866575162927549,
      0.09705824100512594,
      0.09547574087114558,
      0.09391785959088292,
      0.0923842116856854,
      0.09087441794387338,
      0.0893881051631198,
      0.08792490607940964,
      0.08648445926539294,
      0.08506640903657588,
      0.08367040531416642,
      0.08229610356098672,
      0.08094316487740888,
      0.07961125553484366,
      0.0783000471483147,
      0.07700921666074866,
      0.0757384459170576,
      0.07448742190788728,
      0.07325583660565992,
      0.07204338681530847,
      0.07084977404245128,
      0.06967470455037855,
      0.06851788920202741,
      0.0673790435097356,
      0.06625788740275139,
      0.06515414523054427,
      0.06406754564540161,
      0.06299782165998646,
      0.06194471037730887,
      0.060907953057195874,
      0.05988729498802944,
      0.05888248554212332,
      0.057893278128405154,
      0.05691942976906402,
      0.05596070142745126,
      0.05501685794676881,
      0.0540876676341293,
      0.053172902392268434,
      0.05227233783919565,
      0.05138575313599953,
      0.05051293085086551,
      0.049653656899162846,
      0.04880772056304756,
      0.04797491449500394,
      0.047155034486230075,
      0.04634787961253809,
      0.0455532520780086,
      0.044770957136952345,
      0.04400080298955256,
      0.04324260104816988,
      0.04249616556974721,
      0.04176131367180388,
      0.04103786539712555,
      0.04032564343339007,
      0.039624473498234516,
      0.03893418379104988,
      0.038254605303875755,
      0.03758557160496355,
      0.036926919001652875,
      0.036278486131311634,
      0.0356401142897501,
      0.03501164721322805,
      0.03439293111160414,
      0.03378381452645024,
      0.03318414841755837,
      0.032593786033139824,
      0.03201258286490506,
      0.031440396764767314,
      0.03087708767591811,
      0.03032251783020498,
      0.02977655154725433,
      0.02923905520682488,
      0.028709897318409026,
      0.028188948471802113,
      0.027676081155629615,
      0.027171169971611297,
      0.02667409139202856,
      0.026184723906904756,
      0.025702947815778372,
      0.025228645249264464,
      0.024761700198023175,
      0.024301998523093803,
      0.02384942786576075,
      0.023403877506686235,
      0.022965238479805403,
      0.022533403495737365,
      0.02210826694789707,
      0.021689724944440988,
      0.021277675086099946,
      0.02087201675214801,
      0.020472650731810822,
      0.02007947926194899,
      0.019692406331400125,
      0.019311337355637035,
      0.018936179130564654,
      0.01856683998300908,
      0.018203229570262387,
      0.01784525897171332,
      0.017492840798186533,
      0.01714588876691442,
      0.016804318209569964,
      0.016468045587596583,
      0.016136988686557652,
      0.01581106661824856,
      0.01549019970714763,
      0.015174309470780018,
      0.014863318770208139,
      0.014557151653704688,
      0.014255733192770636,
      0.013958989722479833,
      0.013666848724481708,
      0.013379238784365921,
      0.013096089674361334,
      0.012817332198610365,
      0.012542898259132648,
      0.01227272074127711,
      0.012006733613110524,
      0.011744871857459592,
      0.011487071528417984,
      0.011233269557740951,
      0.010983403877444406,
      0.010737413462338532,
      0.010495238304740775,
      0.010256819269578794,
      0.010022098034173635,
      0.009791017209446433,
      0.009563520362624865,
      0.009339551884992718,
      0.009119057047421835,
      0.008901981976412277,
      0.008688273652357678,
      0.008477879746386531,
      0.008270748911016442,
      0.008066830566111237,
      0.007866074833843634,
      0.00766843271194797,
      0.007473855906936074,
      0.0072822968291233175,
      0.007093708596520689,
      0.0069080451754575155,
      0.006725261295190346,
      0.006545312295897011,
      0.0063681541886359905,
      0.006193743622488949,
      0.006022038051916646,
      0.005852995486890648,
      0.005686574614437071,
      0.00552273476368932,
      0.005361435936930678,
      0.005202638735599062,
      0.005046304313562677,
      0.004892394517277662,
      0.004740871768011864,
      0.004591698990563386,
      0.004444839703040654,
      0.004300258007404281,
      0.0041579186903444275,
      0.004017786868477289,
      0.0038798283286579013,
      0.0037440094637589127,
      0.0036102971025356264,
      0.003478658512965983,
      0.003349061547345542,
      0.0032214744459567843,
      0.0030958660942942565,
      0.0029722058244313516,
      0.0028504633648267514,
      0.002730608931087707,
      0.0026126133320466365,
      0.002496447765783124,
      0.0023820837831089762,
      0.0022694935002111503,
      0.002158649419356861,
      0.0020495243844304294,
      0.0019420917287946945,
      0.0018363252214041934,
      0.001732199014904168,
      0.0016296877603971726,
      0.0015287664251480513,
      0.0014294102134690717,
      0.001331594895508651,
      0.001235296629569952,
      0.0011404918365138343,
      0.0010471574000275893,
      0.0009552704739298894,
      0.0008648086597327869,
      0.0007757497850077264,
      0.0006880720900346043,
      0.0006017541232672038,
      0.0005167748795618066,
      0.000433113641591529,
      0.0003507499175974977,
      0.00026966351981203387,
      0.00018983472071412564,
      0.00011124406740454254,
      3.387226064120486e-05,
      -4.229964733369219e-05,
      -0.00011729021264927992,
      -0.00019111780634388487,
      -0.0002638004255710386,
      -0.0003353558152440536,
      -0.00040580137222688117,
      -0.0004751543790447529,
      -0.000543431747320843,
      -0.0006106502433536407,
      -0.0006768263055259669,
      -0.0007419760391743704,
      -0.000806115343228723,
      -0.0008692599155633438,
      -0.0009314251426355591,
      -0.0009926262046109728,
      -0.0010528781095161509,
      -0.0011121955294170918,
      -0.0011705929916440805,
      -0.0012280848086275897,
      -0.0012846849813430044,
      -0.0013404073180692247,
      -0.0013952654629319514,
      -0.0014492728924649669,
      -0.0015024427583225392,
      -0.0015547880345663082,
      -0.0016063214348490164,
      -0.0016570555770140938,
      -0.0017070028225685313,
      -0.0017561754015202279,
      -0.0018045852823340765,
      -0.00185224440351974,
      -0.0018991644085795984,
      -0.0019453567618531369,
      -0.001990832678877398,
      -0.0020356033360976887,
      -0.0020796796409545586,
      -0.0021230723128168785,
      -0.0021657920843538426,
      -0.0022078493427485227,
      -0.0022492543168590217,
      -0.002290017123748507,
      -0.0023301478082522666,
      -0.0023696561345639463,
      -0.0024085517007281123,
      -0.0024468440208598777,
      -0.002484542530826444,
      -0.002521656281536805,
      -0.0025581944583300555,
      -0.0025941660539917197
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335082502175556,
      10.094789098612893,
      9.848779914506881,
      9.599729626826374,
      9.349979913738359,
      9.101563408546696,
      8.856174693220128,
      8.615156738897234,
      8.379501921471224,
      8.14986843665445,
      7.926610895026674,
      7.709821930072984,
      7.499378696552354,
      7.294992321268755,
      7.096257179718949,
      6.902695526576857,
      6.713794460856572,
      6.529038211335877,
      6.347933627487764,
      6.170027128264929,
      5.994917836946804,
      5.82225495600954,
      5.65175746136925,
      5.483226684936069,
      5.316540837011054,
      5.151656316395506,
      4.988604929470306,
      4.82748684244533,
      4.668471323354221,
      4.511816102024774,
      4.357853134274836,
      4.206942343341425,
      4.059465978720682,
      3.915815987371225,
      3.7763830000369634,
      3.641532218339418,
      3.5115897058291443,
      3.3868341106579374,
      3.2674907614903197,
      3.1537282159086315,
      3.045656577964211,
      2.9433153417858793,
      2.846671439481472,
      2.755613224924248,
      2.6699689491305914,
      2.589522937443247,
      2.514033900514767,
      2.4432469005818285,
      2.3769025377914663,
      2.314727450602677,
      2.2564199704288583,
      2.2016312482333844,
      2.1499863863773006,
      2.1011316016369213,
      2.0547325956190434,
      2.010482888657604,
      1.968122141847994,
      1.9274346371563327,
      1.88824080260527,
      1.8503982525127138,
      1.8137905606957647,
      1.7783161862198917,
      1.7438867366938284,
      1.7104303952758846,
      1.6778876036473331,
      1.6462077929852068,
      1.615347091796643,
      1.5852667110749616,
      1.5559318024496118,
      1.5273106431242942,
      1.4993740498219716,
      1.4720935208541963,
      1.4454409446329168,
      1.4193914359138202,
      1.393922354975458,
      1.369013434298101,
      1.3446461915000074,
      1.320804474948573,
      1.297473815589464,
      1.2746396709582735,
      1.252289534612594,
      1.2304118373968636,
      1.2089942614393911,
      1.1880242004253805,
      1.1674890457901888,
      1.1473763666138714,
      1.1276746794375134,
      1.108373505945783,
      1.0894627235576724,
      1.0709325431181067,
      1.0527731097791775,
      1.0349746297384967,
      1.0175274783083126,
      1.0004222651387273,
      0.9836498714539829,
      0.9672014683131562,
      0.951068523602242,
      0.9352428015142592,
      0.919716357438368,
      0.9044815296828526,
      0.8895309300987705,
      0.8748574336747604,
      0.8604541678702173,
      0.8463145020373803,
      0.8324320368130205,
      0.8188005940129243,
      0.8054142067901866,
      0.7922671101666958,
      0.7793537323194096,
      0.7666686860820499,
      0.7542067609028585,
      0.7419629147831112,
      0.7299322671892106,
      0.7181100922987375,
      0.7064918122433584,
      0.6950729971511319,
      0.6838493833441143,
      0.6728168373319977,
      0.6619713380045684,
      0.651308975448478,
      0.6408259487404988,
      0.6305185639383719,
      0.6203833164631408,
      0.6104171515581349,
      0.6006170345362359,
      0.5909798847442137,
      0.5815026211614897,
      0.5721821910720154,
      0.5630155876572679,
      0.5539998599304174,
      0.5451321190201742,
      0.5364095409061674,
      0.5278293673001196,
      0.5193889058988175,
      0.5110855289451671,
      0.5029166720516051,
      0.49487983264582686,
      0.48697256841382675,
      0.47919249527443375,
      0.47153728599370326,
      0.4640046679287345,
      0.4565924215402305,
      0.44929849837510843,
      0.4421215252418479,
      0.43506018525661405,
      0.4281129058806403,
      0.4212779668799294,
      0.41455356901504015,
      0.4079378770644967,
      0.4014290474162254,
      0.39502524521839205,
      0.3887246550539046,
      0.3825254875266542,
      0.37642614688009074,
      0.37042523546661477,
      0.36452128226417124,
      0.35871275603066566,
      0.3529980988864144,
      0.34737574768330265,
      0.34184414736628993,
      0.3364017590156942,
      0.33104707117752746,
      0.32577870669320297,
      0.320595350805235,
      0.3154956536028084,
      0.3104782529056933,
      0.30554178648988756,
      0.3006847069547303,
      0.29590540882569166,
      0.2912022768739108,
      0.28657360607753374,
      0.2820178475698872,
      0.27753359066097527,
      0.273119522575678,
      0.26877440199306885,
      0.26449704182735617,
      0.26028629729803215,
      0.2561410581282429,
      0.252060243179735,
      0.24804294632199006,
      0.24408861330539183,
      0.24019660427390754,
      0.23636615429448105,
      0.23259642198394265,
      0.22888652150756825,
      0.22523554380939056,
      0.2216425700933837,
      0.21810668068743141,
      0.2146269611570308,
      0.211202505782185,
      0.207832420130356,
      0.20451582221470752,
      0.20125179499608184,
      0.19803936886283174,
      0.19487761952796429,
      0.19176566947401721,
      0.18870267676887817,
      0.18568782755463847,
      0.18272033079653646,
      0.1797994149155987,
      0.17692432522555682,
      0.17409432268687433,
      0.17130868245974062,
      0.16856669294517745,
      0.16586765542587012,
      0.1632108835236486,
      0.1605957026507566,
      0.15802144967589188,
      0.15548747272191324,
      0.1529931309553396,
      0.15053779427782835,
      0.1481208431488797,
      0.14574166828475357,
      0.1433996705004759,
      0.1410942605034654,
      0.13882485881073653,
      0.13659089546539355,
      0.13439180992723368,
      0.13222705065973928,
      0.13009607542455592,
      0.12799835062401255,
      0.1259333515159001,
      0.12390056184423492,
      0.1218994738523607,
      0.11992958808074834,
      0.1179904130059562,
      0.11608146518202629,
      0.11420226898037594,
      0.1123523564573591,
      0.11053126720760233,
      0.10873854834376896,
      0.10697375419526778,
      0.1052364461641582,
      0.10352619273190349,
      0.10184256941250203,
      0.1001851585576106,
      0.09855354920387653,
      0.09694733685344929,
      0.09536612349893561,
      0.09380951753676946,
      0.0922771336517498,
      0.09076859262758047,
      0.08928352132466268,
      0.08782155251346033,
      0.0863823248751048,
      0.08496548269759625,
      0.08357067591316283,
      0.08219756020620965,
      0.08084579654689175,
      0.07951505133490515,
      0.07820499630164515,
      0.07691530838060048,
      0.07564566957073739,
      0.0743957669041132,
      0.07316529230738739,
      0.07195394266837726,
      0.07076141967291202,
      0.06958742954109798,
      0.06843168331125139,
      0.06729389644801366,
      0.06617378894047184,
      0.06507108526424714,
      0.06398551418190562,
      0.0629168086448662,
      0.06186470591462523,
      0.06082894720955599,
      0.05980927800930092,
      0.05880544773839344,
      0.057817209744810596,
      0.056844321181696224,
      0.05588654320510881,
      0.054943640566728486,
      0.05401538167179535,
      0.05310153859955484,
      0.052201886965750614,
      0.051316205932164786,
      0.05044427808916924,
      0.04958588951387984,
      0.0487408296662886,
      0.047908891116616774,
      0.04708986981287993,
      0.04628356479157729,
      0.04548977830086219,
      0.044708315706974755,
      0.043938985412593834,
      0.043181598789625054,
      0.042435970177710676,
      0.04170191678241042,
      0.04097925863843702,
      0.04026781863492865,
      0.03956742235067128,
      0.038877898163956835,
      0.03819907716309855,
      0.037530793048519376,
      0.03687288203172845,
      0.036225182954023674,
      0.03558753713540323,
      0.03495978828705021,
      0.03434178270975532,
      0.03373336908875082,
      0.03313439831993318,
      0.03254472390150938,
      0.031964201279345156,
      0.0313926883386541,
      0.030830045135274178,
      0.03027613390277792,
      0.02973081908673627,
      0.029193967228715728,
      0.028665446858243217,
      0.028145128468945468,
      0.02763288476937648,
      0.02712859038878065,
      0.026632121877000734,
      0.026143357666975203,
      0.02566217814645561,
      0.025188465546322498,
      0.024722103963543757,
      0.024262979320940844,
      0.023810979220021143,
      0.023365993061008988,
      0.02292791198510872,
      0.02249662888123097,
      0.022072038081111932,
      0.021654035650316577,
      0.021242519394497072,
      0.020837388674198754,
      0.02043854429376199,
      0.020045888628139403,
      0.01965932567333827,
      0.019278760892723273,
      0.01890410115841962,
      0.01853525481287843,
      0.018172131634062037,
      0.01781464277462058,
      0.017462700763692992,
      0.017116219590310674,
      0.016775114519058665,
      0.016439302037742663,
      0.016108700007255762,
      0.015783227619603973,
      0.015462805259184507,
      0.015147354451626918,
      0.014836798077712854,
      0.014531060204354938,
      0.014230066048181802,
      0.013933741987460621,
      0.013642015604072067,
      0.013354815444269788,
      0.013072071355526326,
      0.012793714122249345,
      0.012519675741529016,
      0.012249889188221404,
      0.011984288438274714,
      0.011722808502461908,
      0.011465385464130864,
      0.011211956476507903,
      0.010962459516152568,
      0.010716833629622323,
      0.010475018738783268,
      0.010236955570517962,
      0.010002585977851766,
      0.009771852673255274,
      0.009544699156868093,
      0.009321069876531822,
      0.0091009102131183,
      0.008884166406510685,
      0.008670785382641516,
      0.008460714958794502,
      0.008253903727843593,
      0.008050301079198614,
      0.007849857324842181,
      0.00765252346586856,
      0.007458251184874401,
      0.0072669930506509845,
      0.0070787022812459355,
      0.006893332808434818,
      0.0067108392750641335,
      0.006531177073303402,
      0.006354302284096836,
      0.006180171733807895,
      0.006008742748473212,
      0.00583997336154728,
      0.005673822371888829,
      0.005510249175733891,
      0.005349213760021017,
      0.00519067679327289,
      0.005034599458644207,
      0.004880943613176087,
      0.004729671670073682,
      0.004580746692687979,
      0.004434132243368967,
      0.004289792475588064,
      0.004147692063337389,
      0.004007796329698594,
      0.0038700709960887447,
      0.003734482429455184,
      0.0036009974212196263,
      0.0034695833813477295,
      0.0033402082166001726,
      0.003212840236636105,
      0.003087448296717946,
      0.0029640018024702465,
      0.0028424706091349137,
      0.002722824858491994,
      0.002605035338890903,
      0.0024890732623763395,
      0.002374910342519151,
      0.002262518619883046,
      0.002151870708353302,
      0.0020429394585433076,
      0.0019356982394589262,
      0.001830120840117631,
      0.0017261813668116757,
      0.0016238544658839162,
      0.0015231151285465569,
      0.0014239386948219168,
      0.001326300940983482,
      0.0012301780226680935,
      0.0011355463685623394,
      0.0010423827787688202,
      0.0009506645307630772,
      0.0008603692075814895,
      0.0007714748134373872,
      0.0006839596618149286,
      0.0005978022458821738,
      0.000512981516649452,
      0.00042947679395205263,
      0.00034726755155138785,
      0.0002663338392676801,
      0.00018665576571399837,
      0.00010821387178546778,
      3.098899061321785e-05,
      -4.5037757585022055e-05,
      -0.00011988504613164171,
      -0.00019357105878940555,
      -0.0002661138412073378,
      -0.0003375312189908943,
      -0.000407840651536297,
      -0.0004770591922672568,
      -0.0005452038547096649,
      -0.0006122913166214396,
      -0.0006783379917729252,
      -0.0007433599927390542,
      -0.0008073731559087562,
      -0.00087039314831999,
      -0.0009324354144267718,
      -0.0009935151159364101,
      -0.0010536472869131792,
      -0.001112846612772003,
      -0.0011711275389476037,
      -0.0012285042319484423,
      -0.0012849907625097834,
      -0.0013406008743797342,
      -0.0013953481719564736,
      -0.0014492460845133815,
      -0.0015023077853859783,
      -0.0015545462629001502,
      -0.0016059743012359943,
      -0.0016566044989680278,
      -0.001706449152936044,
      -0.001755520465738382,
      -0.0018038304853292668,
      -0.0018513909553885986,
      -0.0018982134755650057,
      -0.0019443096109294324,
      -0.0019896905173848057,
      -0.0020343673036119607,
      -0.002078350890120722,
      -0.0021216521031371164,
      -0.002164281621549171,
      -0.002206249777165016,
      -0.002247566875277127,
      -0.0022882429422646905,
      -0.0023282879306200576,
      -0.0023677116370044047,
      -0.0024065237279912825,
      -0.002444733669965334,
      -0.002482350740670678,
      -0.0025193841930060763,
      -0.0025558431513983708,
      -0.002591736386758527
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335079045743125,
      10.094776269373709,
      9.848751809966064,
      9.599682037267964,
      9.349909925172204,
      9.101469138106731,
      8.85605504684729,
      8.615011200706938,
      8.37933037532316,
      8.149671015179786,
      7.926387926614889,
      7.70957390313717,
      7.499106062203348,
      7.294695468891774,
      7.095936410419614,
      6.902351085636458,
      6.713426578466028,
      6.528647137563111,
      6.347519698855766,
      6.169590822327111,
      5.9944598603759855,
      5.821776244182363,
      5.651259136235138,
      5.4827100905902295,
      5.3160075703844605,
      5.151108221619838,
      4.988044010427163,
      4.8269153321356395,
      4.667891748990423,
      4.511231711872144,
      4.3572674469499395,
      4.206358874613597,
      4.0588881975204005,
      3.91524732503593,
      3.775826807034313,
      3.6409915542290427,
      3.5110672899929654,
      3.3863322848914112,
      3.2670114649877755,
      3.1532729732216307,
      3.0452264308241297,
      2.9429107986934344,
      2.8462925191188773,
      2.7552593470250866,
      2.6696389387140016,
      2.5892151017134064,
      2.5137463952186923,
      2.442977809784114,
      2.3766497513427374,
      2.314488774417807,
      2.2561932879976623,
      2.2014140245598823,
      2.149776128521681,
      2.100926052710987,
      2.054529794728534,
      2.010280990715364,
      1.9679197276188887,
      1.927230652532898,
      1.8880344888212517,
      1.8501890735579951,
      1.8135781422631856,
      1.7781002268681254,
      1.7436670269548094,
      1.7102068167939624,
      1.677660101556049,
      1.6459763572911914,
      1.6151117428782555,
      1.5850274906945248,
      1.555688767089778,
      1.527063858792205,
      1.4991235885285679,
      1.4718394878641716,
      1.4451834602484461,
      1.419130626067815,
      1.3936583287044244,
      1.3687463046467596,
      1.3443760905726063,
      1.3205316564235101,
      1.2971985036594882,
      1.2743621280989368,
      1.2520101373859591,
      1.2301308503536432,
      1.2087118760800906,
      1.187740558700533,
      1.1672042569055778,
      1.1470905189802327,
      1.1273878672041528,
      1.108085814449743,
      1.0891742343072723,
      1.0706433284477377,
      1.0524832314128154,
      1.0346841421174076,
      1.017236431141154,
      1.0001307050761288,
      0.9833578426847831,
      0.966909012897476,
      0.9507756822531548,
      0.9349496139128763,
      0.9194228623380775,
      0.9041877652086387,
      0.8892369338863658,
      0.8745632425952906,
      0.8601598182048075,
      0.8460200294908365,
      0.8321374767234213,
      0.8185059811464639,
      0.8051195752802688,
      0.791972493954123,
      0.7790591645675937,
      0.766374199422847,
      0.7539123875217967,
      0.7416686862169208,
      0.7296382144968832,
      0.7178162459446777,
      0.7061982023543748,
      0.6947796612688109,
      0.683556362850837,
      0.6725241685631916,
      0.6616790535435672,
      0.6510171053776662,
      0.6405345214467749,
      0.6302276065264587,
      0.6200929587275222,
      0.6101275277313158,
      0.6003282374664891,
      0.5906919800112499,
      0.5812156567778815,
      0.5718962031808467,
      0.5627306045070118,
      0.5537159050302692,
      0.5448492124678876,
      0.5361277001904536,
      0.5275486083424467,
      0.5191092432709483,
      0.5108069762796728,
      0.5026392423165893,
      0.4946035383867199,
      0.48669742147963463,
      0.4789185070964041,
      0.4712644674759926,
      0.4637330295100036,
      0.45632197335160274,
      0.4490292966771246,
      0.4418536883942671,
      0.43479378934860735,
      0.4278480001827735,
      0.4210145837154212,
      0.4142917293187408,
      0.4076775944479917,
      0.40117033067639263,
      0.39476809996025103,
      0.38846908484020004,
      0.382271494456324,
      0.37617375732035463,
      0.37017447610143805,
      0.36427216899798454,
      0.35846529800834864,
      0.35275230076799574,
      0.34713161105949336,
      0.34160167189260904,
      0.3361609429516763,
      0.3308079178049057,
      0.3255412265977289,
      0.32035954870540867,
      0.3152615305394686,
      0.3102458074213282,
      0.30531101647044767,
      0.3004556107166249,
      0.2956779849163585,
      0.2909766070019493,
      0.28634978346788387,
      0.2817959302645279,
      0.27731361326684867,
      0.2729015043219,
      0.2685583520829128,
      0.26428296271562773,
      0.26007418699963014,
      0.25593091183430167,
      0.2518520542380443,
      0.24783672305943716,
      0.2438843642273923,
      0.23999433073632384,
      0.23616585293888678,
      0.23239808639022547,
      0.22869014315943875,
      0.2250411127195481,
      0.2214500754347216,
      0.21791611105056297,
      0.2144383046899107,
      0.2110157504414381,
      0.20764755365065876,
      0.20433283215248235,
      0.20107066462433604,
      0.19786008106338382,
      0.19470015870796337,
      0.19159002127447325,
      0.18852882758631487,
      0.1855157641411026,
      0.1825500402160544,
      0.1796308844248808,
      0.17675754229442528,
      0.17392927474515385,
      0.17114535702518469,
      0.16840507769997945,
      0.16570773795579835,
      0.1630526513045127,
      0.16043914316714222,
      0.15786655056489482,
      0.15533422158626833,
      0.15284151538536908,
      0.15038780189214454,
      0.14797246158387956,
      0.14559488522167888,
      0.14325447362847896,
      0.14095063760958135,
      0.13868279762812027,
      0.13645038370540324,
      0.13425283524724985,
      0.13208960090416877,
      0.12996013835060302,
      0.12786391406588132,
      0.12580040331989426,
      0.12376909001984532,
      0.121769466348404,
      0.11980103278993728,
      0.11786329789611509,
      0.11595577822369417,
      0.11407799815725274,
      0.11222948987143036,
      0.11040979301308612,
      0.10861845462341518,
      0.10685502908466152,
      0.10511907798856839,
      0.10341016983164399,
      0.1017278801148206,
      0.10007179124372556,
      0.09844149229320263,
      0.09683657885148513,
      0.09525665294346292,
      0.09370132300777151,
      0.09217020378753206,
      0.09066291610910099,
      0.0891790868919872,
      0.0877183489503512,
      0.08628034092340581,
      0.08486470721662201,
      0.08347109785796165,
      0.08209916856463509,
      0.0807485805121848,
      0.07941900014183297,
      0.07811009913899718,
      0.07682155442741659,
      0.07555304814070186,
      0.07430426725606482,
      0.0730749038470289,
      0.07186465485462377,
      0.07067322206108097,
      0.0695003118201398,
      0.06834563503909542,
      0.06720890731762684,
      0.06608984877284202,
      0.06498818387127941,
      0.0639036414360474,
      0.0628359546126302,
      0.06178486067884592,
      0.060750101048139306,
      0.05973142118964057,
      0.05872857053130392,
      0.05774130251788601,
      0.056769374327470735,
      0.05581254708217248,
      0.05487058566332397,
      0.0539432586044232,
      0.05303033792417688,
      0.052131599421660194,
      0.05124682233957681,
      0.050375789339622085,
      0.04951828647467828,
      0.04867410328518919,
      0.04784303254944977,
      0.04702487012207645,
      0.04621941527766709,
      0.045426470274936556,
      0.04464584051442663,
      0.043877334428116956,
      0.04312076347315621,
      0.042375942018997664,
      0.041642687341317146,
      0.04092081959512263,
      0.04021016167155241,
      0.03951053930999656,
      0.038821780858780616,
      0.03814371753548097,
      0.037476183125588924,
      0.03681901391075059,
      0.0361720487429809,
      0.03553512904018358,
      0.03490809860956956,
      0.034290803789553924,
      0.0336830933082215,
      0.033084818221018976,
      0.032495831959436616,
      0.03191599011501883,
      0.03134515063278326,
      0.030783173625194397,
      0.030229921405079328,
      0.029685258361228515,
      0.029149051045417932,
      0.02862116816658161,
      0.02810148035104571,
      0.02758986037498642,
      0.027086182793992563,
      0.026590324260830498,
      0.026102163424687002,
      0.02562158066646629,
      0.025148458248122074,
      0.024682680303676232,
      0.024224132767472657,
      0.02377270341795244,
      0.023328281680114273,
      0.022890758682595398,
      0.022460027397695762,
      0.022035982298747685,
      0.021618519449692838,
      0.02120753675959887,
      0.02080293353204127,
      0.020404610706988898,
      0.02001247079079876,
      0.019626417786355314,
      0.019246357160147626,
      0.01887219591133081,
      0.018503842366142487,
      0.018141206397729762,
      0.01778419930208688,
      0.017432733647647313,
      0.017086723282382983,
      0.016746083511673546,
      0.016410731020776725,
      0.01608058375822887,
      0.01575556087495167,
      0.015435582808161449,
      0.015120571268452298,
      0.014810449123861945,
      0.014505140370810573,
      0.014204570370614927,
      0.01390866555668905,
      0.013617353604290115,
      0.013330563108625015,
      0.013048223890179005,
      0.012770266833885357,
      0.012496623993519262,
      0.012227228420620387,
      0.011962014118112006,
      0.011700916239602066,
      0.011443870904867308,
      0.011190815044910667,
      0.010941686757212497,
      0.010696425026905565,
      0.010454969863101685,
      0.010217262215193285,
      0.009983244033863145,
      0.009752857947990029,
      0.00952604758031701,
      0.009302757466169716,
      0.009082932975603294,
      0.008866520334539298,
      0.008653466598569033,
      0.00844371955298481,
      0.008237227832390458,
      0.008033940916412118,
      0.00783380915402869,
      0.007636783473484338,
      0.0074428156858015624,
      0.0072518584164801055,
      0.007063864843216607,
      0.0068787889767766095,
      0.006696585537594705,
      0.0065172099243115695,
      0.006340618293385019,
      0.006166767437765942,
      0.00599561482092957,
      0.0058271184671742915,
      0.005661237299416237,
      0.005497930774400205,
      0.005337158800043205,
      0.005178882086793046,
      0.00502306184722209,
      0.004869659904490692,
      0.004718638816134796,
      0.004569961637921831,
      0.0044235920017699675,
      0.004279494042667134,
      0.004137632512457925,
      0.00399797271151493,
      0.003860480447815981,
      0.0037251220936958774,
      0.0035918645429014813,
      0.0034606751568225427,
      0.0033315217891835736,
      0.003204372857009437,
      0.0030791973440082174,
      0.0029559646403892405,
      0.002834644588244086,
      0.0027152074777273953,
      0.0025976240257244198,
      0.0024818654963165813,
      0.002367903556225872,
      0.0022557103353123653,
      0.0021452583233438995,
      0.0020365205421803393,
      0.0019294703505801439,
      0.001824081587921797,
      0.0017203284522415614,
      0.0016181855834659978,
      0.0015176280020651888,
      0.0014186311000951688,
      0.0013211706016574643,
      0.0012252226712598877,
      0.0011307639157391912,
      0.0010377711460163833,
      0.0009462215277945153,
      0.0008560927272885713,
      0.0007673627727009446,
      0.000680009967949013,
      0.0005940129155972296,
      0.0005093505538120499,
      0.0004260021434051566,
      0.0003439472312088306,
      0.0002631658178327862,
      0.00018363816442934695,
      0.00010534482999118766,
      2.8266632935240098e-05,
      -4.7615226794106306e-05,
      -0.0001223194452582663,
      -0.00019586413427570836,
      -0.00026826739538194597,
      -0.0003395469771922008,
      -0.00040972030053473043,
      -0.0004788044952252866,
      -0.0005468164926098442,
      -0.0006137730475358126,
      -0.0006796904860714017,
      -0.0007445848650858226,
      -0.0008084720288186385,
      -0.0008713676393040115,
      -0.0009332870789357626,
      -0.0009942454789104373,
      -0.001054257810397893,
      -0.0011133388419125876,
      -0.0011715029042497682,
      -0.0012287641949926486,
      -0.0012851367260817601,
      -0.0013406344425333436,
      -0.0013952708127502834,
      -0.0014490592377378016,
      -0.0015020128680255287,
      -0.001554144655724081,
      -0.0016054674369157089,
      -0.0016559936704271653,
      -0.0017057356583666165,
      -0.0017547056456291832,
      -0.001802915574933933,
      -0.0018503772676393764,
      -0.001897102355515639,
      -0.0019431023264609275,
      -0.001988388429564794,
      -0.002032971687456462,
      -0.002076863041655093,
      -0.0021200731852005984,
      -0.0021626126492735273,
      -0.0022044918830421297,
      -0.002245721198849293,
      -0.002286310564688714,
      -0.0023262699680080766,
      -0.0023656091746317395,
      -0.002404337818402542,
      -0.002442465362491574,
      -0.0024800012510307503,
      -0.0025169546090090702,
      -0.002553334399052151,
      -0.0025891496029311345
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335075585140528,
      10.094763418484304,
      9.848723648846999,
      9.599634347699778,
      9.349839786725457,
      9.101374660335045,
      8.855935129276862,
      8.614865326069793,
      8.379158426360027,
      8.149473125354524,
      7.926164426577477,
      7.709325283130456,
      7.498832774615291,
      7.29439790481465,
      7.095614873330037,
      6.9020058230586585,
      6.71305782166976,
      6.5282551370239394,
      6.347104790230284,
      6.169153483928405,
      5.994000792654446,
      5.821296365216497,
      5.650759572839863,
      5.482192190550507,
      5.315472934239017,
      5.150558697333104,
      4.9874816060699105,
      4.826342286422841,
      4.6673105960316885,
      4.510645707630327,
      4.356680118111888,
      4.205773744718393,
      4.058308741142418,
      3.9146770327282363,
      3.775269028113946,
      3.640449347366853,
      3.510543374322274,
      3.38582900187024,
      3.266530752369107,
      3.1528163534476326,
      3.0447949433053028,
      2.9425049494649933,
      2.8459123244353797,
      2.7549042234059224,
      2.669307707790092,
      2.58890606794457,
      2.513457712411485,
      2.442707560999415,
      2.376395825455112,
      2.314248976731852,
      2.2559655040285085,
      2.2011957220434386,
      2.1495648161210603,
      2.100719474849527,
      2.0543259894482673,
      2.0100781105510244,
      1.96771635038071,
      1.927025721866429,
      1.887827244534251,
      1.8499789785352718,
      1.813364821625033,
      1.7778833786824018,
      1.7434464406644425,
      1.709982372718937,
      1.6774317441918112,
      1.6457440758336614,
      1.6148755573890914,
      1.5847874432199909,
      1.5554449134251709,
      1.5268162644096808,
      1.498872325111809,
      1.4715846603082616,
      1.4449251886510754,
      1.4188690363266185,
      1.3933935301973273,
      1.3684784103268053,
      1.344105282427972,
      1.3202582115964998,
      1.2969226210357987,
      1.2740840526801487,
      1.251730232880544,
      1.2298493732759341,
      1.2084290124178192,
      1.1874564472080424,
      1.1669190047891693,
      1.146804212626179,
      1.1271005999832133,
      1.1077976716583167,
      1.0888852970331055,
      1.0703536686332107,
      1.052192910876967,
      1.0343932155792401,
      1.0169449483145272,
      0.9998387119381403,
      0.9830653826319172,
      0.9666161281466239,
      0.9504824137082344,
      0.9346560015330063,
      0.919128945039105,
      0.9038935811642471,
      0.8889425205666699,
      0.8742686370515865,
      0.8598650571437777,
      0.8457251488324193,
      0.8318425118114828,
      0.8182109669514058,
      0.8048245459839211,
      0.7916774828816465,
      0.7787642050517809,
      0.7660793243388165,
      0.753617628890353,
      0.7413740757149077,
      0.7293437833490035,
      0.7175220246806783,
      0.705904220760986,
      0.6944859597055052,
      0.6832629817871392,
      0.6722311436093156,
      0.661386417073193,
      0.650724887397837,
      0.6402427504038604,
      0.6299363093629176,
      0.6198022654909685,
      0.6098375729675448,
      0.6000391140165858,
      0.5904037536882901,
      0.5809283754075426,
      0.5716099031893388,
      0.5624453144903926,
      0.5534316483009166,
      0.5445660088652781,
      0.5358455672387019,
      0.5272675619371909,
      0.518829297947094,
      0.5105281456732265,
      0.5023615394142171,
      0.4943269754879864,
      0.48642201035524996,
      0.4786442591649534,
      0.4709913936436164,
      0.4634611405128766,
      0.4560512792783273,
      0.44875986351062974,
      0.44158563059798217,
      0.43452718086084985,
      0.4275828888914056,
      0.4207510005862139,
      0.41402969456068867,
      0.4074171210921614,
      0.4009114270575176,
      0.3945107715415355,
      0.38821333503132666,
      0.38201732531887744,
      0.37592119563059445,
      0.36992354871309036,
      0.3640228919763264,
      0.35821768031954787,
      0.3525063468202301,
      0.3468873224614725,
      0.34135904820622254,
      0.33591998245971344,
      0.3305686236622005,
      0.3253036093923601,
      0.3201236130966426,
      0.3150272774090157,
      0.31001323534474934,
      0.3050801232026606,
      0.30022639454605876,
      0.2954504443502034,
      0.2907507861512166,
      0.28612578954770657,
      0.2815738298505642,
      0.2770934466705764,
      0.27268329454709284,
      0.2683421107768003,
      0.26406869401477384,
      0.2598618901505926,
      0.2557205826361446,
      0.25164368616503036,
      0.24763032461807943,
      0.24367994395307757,
      0.2397918901453735,
      0.2359653888372575,
      0.23219959245033234,
      0.22849361094955029,
      0.2248465322530886,
      0.22125743576311824,
      0.2177254005841773,
      0.21424951148953553,
      0.21082886220200003,
      0.20746255792414817,
      0.20414971637829377,
      0.20088941213789918,
      0.19768067488707125,
      0.19452258341706685,
      0.19141426247768742,
      0.18835487147251417,
      0.18534359742206533,
      0.18237964993012307,
      0.17946225769021,
      0.1765906663926241,
      0.17376413709676397,
      0.17098194501156613,
      0.1682433787331615,
      0.16554773951564944,
      0.16289434098191757,
      0.16028250857340534,
      0.15771157917065975,
      0.1551809010361831,
      0.15268983331694272,
      0.1502377459066716,
      0.1478240192738867,
      0.1454480442169142,
      0.14310922154604966,
      0.14080696211203544,
      0.13854068635371333,
      0.13630982429346272,
      0.13411381540750048,
      0.13195210835874202,
      0.12982416078220457,
      0.1277294392753242,
      0.12566741916101667,
      0.12363758432797918,
      0.12163942695746952,
      0.11967244759385987,
      0.11773615492293206,
      0.11583006555066418,
      0.11395370388320548,
      0.11210660203182882,
      0.11028829971699354,
      0.10849834400630563,
      0.10673628919091054,
      0.10500169693974408,
      0.103294135994802,
      0.10161318183902067,
      0.09995841676813644,
      0.09832942992151142,
      0.09672581703127596,
      0.09514718026932485,
      0.09359312807869273,
      0.09206327512773928,
      0.09055724240023645,
      0.08907465683653898,
      0.08761515138346498,
      0.086178364705276,
      0.08476394121415805,
      0.08337153108203482,
      0.08200078999307732,
      0.08065137910649268,
      0.0793229649111765,
      0.07801521923954734,
      0.0767278191348514,
      0.07546044669584397,
      0.07421278906663736,
      0.07298453830488927,
      0.07177539135336436,
      0.07058505001683876,
      0.06941322079069646,
      0.06825961484388325,
      0.06712394774168935,
      0.06600593957916066,
      0.06490531498175187,
      0.06382180273747738,
      0.06275513599155347,
      0.0617050521485158,
      0.060671292682055705,
      0.059653603115605164,
      0.05865173301470263,
      0.0576654358197121,
      0.05669446893098693,
      0.055738593526295115,
      0.05479757439522366,
      0.053871180092349105,
      0.05295918286913634,
      0.05206135848634612,
      0.05117748623971701,
      0.05030734893881064,
      0.049450732822394955,
      0.048607427340739376,
      0.047777225248829915,
      0.046959922543629004,
      0.04615531852481897,
      0.04536321557546147,
      0.04458341918668648,
      0.04381573781571114,
      0.04305998306411834,
      0.04231596929525467,
      0.04158351393013402,
      0.040862437144412435,
      0.04015256199579495,
      0.039453714189936005,
      0.038765722244978144,
      0.038088417370670605,
      0.037421633294397044,
      0.03676520642442219,
      0.03611897570851934,
      0.03548278263901362,
      0.034856471159636034,
      0.034239887632599914,
      0.033632880856347115,
      0.03303530190180636,
      0.03244700422439853,
      0.03186784360138475,
      0.03129767795649434,
      0.030736367505002034,
      0.030183774557685197,
      0.029639763682831517,
      0.0291042015268857,
      0.028576956719725686,
      0.02805790002270499,
      0.027546904141680924,
      0.02704384388463159,
      0.026548596002936423,
      0.026061038989205396,
      0.02558105338481432,
      0.0251085215924459,
      0.02464332778494045,
      0.024185357897584307,
      0.023734499735159776,
      0.023290642812712772,
      0.02285367835595707,
      0.022423499263422398,
      0.0220000001388497,
      0.021583077285791324,
      0.021172628492434797,
      0.020768553159390902,
      0.02037075228107284,
      0.019979128509548548,
      0.019593585811428952,
      0.01921402970260188,
      0.018840367189605776,
      0.01847250678720739,
      0.01811035837594342,
      0.017753833224657734,
      0.017402843909843167,
      0.017057304501223544,
      0.016717130358328527,
      0.016382238180684332,
      0.016052545903792254,
      0.015727972708363604,
      0.015408439180637761,
      0.015093866981894776,
      0.01478417914583839,
      0.014479299795659832,
      0.014179154311282447,
      0.013883669119183664,
      0.013592771862164016,
      0.013306391242655306,
      0.01302445709949952,
      0.012746900399924788,
      0.01247365329326731,
      0.012204648857588834,
      0.011939821142508248,
      0.0116791052732529,
      0.011422437259680777,
      0.011169754355985065,
      0.010920994795673416,
      0.010676097523523215,
      0.01043500261790144,
      0.010197651055569157,
      0.009963984652030345,
      0.009733946163845208,
      0.00950747919776069,
      0.009284528383857337,
      0.009065039170987742,
      0.008848957689126757,
      0.008636231174178432,
      0.008426807506380547,
      0.0082206353556584,
      0.008017664311100306,
      0.007817844575051986,
      0.0076211272128455295,
      0.007427464087991954,
      0.00723680781987493,
      0.007049111629133822,
      0.006864329542530633,
      0.006682416428749605,
      0.00650332773844047,
      0.006327019520259622,
      0.006153448681153887,
      0.005982572670642459,
      0.005814349644773903,
      0.005648738441756383,
      0.005485698522211354,
      0.005325189892823242,
      0.005167173286513624,
      0.005011609989094429,
      0.004858462030990649,
      0.004707691910882195,
      0.004559262652152671,
      0.0044131378675225765,
      0.004269281769027289,
      0.004127659135717994,
      0.003988235188006979,
      0.003850975826630873,
      0.0037158474921453123,
      0.003582817160715094,
      0.003451852201579707,
      0.0033229206435875036,
      0.003195990890358843,
      0.0030710317109008105,
      0.0029480126450987638,
      0.0028269036104328162,
      0.002707674847583741,
      0.0025902972299292775,
      0.00247474197086571,
      0.002360980739984371,
      0.0022489857108708307,
      0.0021387295216640013,
      0.0020301851423973087,
      0.0019233259851353611,
      0.0018181259267334507,
      0.0017145592318246364,
      0.0016126004898796998,
      0.001512224712751546,
      0.0014134072937260701,
      0.0013161241145223201,
      0.0012203513106454895,
      0.001126065349498106,
      0.0010332432814610423,
      0.0009418623699249263,
      0.0008519002373932558,
      0.0007633348222015109,
      0.0006761444190089909,
      0.0005903077463116398,
      0.0005058037993626839,
      0.000422611850346924,
      0.00034071150063551893,
      0.0002600826197005069,
      0.00018070546964968494,
      0.00010256065322509184,
      2.562916490322006e-05,
      -5.010789377747956e-05,
      -0.00012466906373126158,
      -0.0001980725251116061,
      -0.00027033637203709306,
      -0.00034147823183842805,
      -0.00041151554455089845,
      -0.00048046545933655833,
      -0.0005483449274336803,
      -0.0006151705395628401,
      -0.0006809586738551126,
      -0.0007457254011340991,
      -0.0008094865671234154,
      -0.0008722578161694344,
      -0.0009340544939615926,
      -0.0009948917142091926,
      -0.0010547843986539107,
      -0.0011137472084976163,
      -0.0011717945446936945,
      -0.0012289406492353068,
      -0.0012851995208228587,
      -0.0013405848934295275,
      -0.0013951104369756193,
      -0.0014487894671398824,
      -0.0015016350039999667,
      -0.0015536601287170994,
      -0.0016048776211274442,
      -0.0016552998892704013,
      -0.0017049392788729112,
      -0.0017538080007180072,
      -0.0018019180645177126,
      -0.0018492811285689922,
      -0.001895908799958266,
      -0.0019418126103196817,
      -0.0019870037429551633,
      -0.0020314932103403945,
      -0.002075291992732049,
      -0.002118410782342586,
      -0.002160860095263359,
      -0.002202650306487604,
      -0.002243791703272166,
      -0.002284294341020551,
      -0.0023241681847305283,
      -0.0023634229507446397,
      -0.0024020682530043304,
      -0.002440113558266911,
      -0.0024775681276652554,
      -0.0025144412059563584,
      -0.0025507417840405894,
      -0.002586478812518557
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335072113451535,
      10.094750520126928,
      9.84869538386766,
      9.599586480978939,
      9.349769382463364,
      9.101279819138862,
      8.855814744779515,
      8.614718874515624,
      8.378985786604082,
      8.14927442665678,
      7.925940053995843,
      7.70907571921864,
      7.498558465945426,
      7.294099236560794,
      7.095292143398293,
      6.901659275233197,
      6.71268768485751,
      6.527861661653359,
      6.346688310890914,
      6.168714479166685,
      5.993539923081912,
      5.820814554101378,
      5.650257952998202,
      5.481672114850187,
      5.314936007008943,
      5.1500067725077745,
      4.9869166988884,
      4.82576664258727,
      4.6667267564992745,
      4.51005693841021,
      4.3560899585419985,
      4.205185731202569,
      4.057726361320462,
      3.9141037916764114,
      3.7747082884783847,
      3.6399041804293186,
      3.510016509849984,
      3.385322791163075,
      3.266047142925593,
      3.1523568767476213,
      3.0443606453888377,
      2.9420963420754926,
      2.845529427893372,
      2.7545464572341567,
      2.6689738955557525,
      2.588594514841721,
      2.5131665715612903,
      2.4424349135887304,
      2.3761395592671475,
      2.3140068966781877,
      2.2557354949972304,
      2.200975250501169,
      2.1493513893444,
      2.1005108344096644,
      2.054120170989005,
      2.0098732629391036,
      1.967511049274076,
      1.926818908161413,
      1.8876181554256743,
      1.8497670750119086,
      1.8131497264765228,
      1.777664788271231,
      1.743224143013503,
      1.7097562471805432,
      1.6772017342004633,
      1.6455101693931697,
      1.6146377744200358,
      1.5845458244523958,
      1.5551995142087385,
      1.526567149380906,
      1.4986195655019028,
      1.4713283601391167,
      1.4446654677533177,
      1.4186060200304407,
      1.3931273317517288,
      1.3682091446996663,
      1.3438331284184621,
      1.319983444014001,
      1.2966454440604236,
      1.2738047134159678,
      1.25144909100636,
      1.2295666819134279,
      1.208144955158761,
      1.1871711617677088,
      1.1666325978313512,
      1.1465167698859446,
      1.1268122136692325,
      1.107508426160229,
      1.0885952728414507,
      1.070062937609679,
      1.0519015342121856,
      1.034101247481218,
      1.0166524383094075,
      0.9995457063966185,
      0.9827719254207612,
      0.9663222609655947,
      0.950188177231438,
      0.9343614354230697,
      0.9188340879539818,
      0.9035984709071608,
      0.8886471943808848,
      0.8739731318059204,
      0.8595694090523454,
      0.8454293935227445,
      0.831546684282309,
      0.8179151016240553,
      0.8045286770507871,
      0.7913816443416849,
      0.7784684299249995,
      0.7657836448382237,
      0.7533220769410546,
      0.7410786828041589,
      0.7290485802917887,
      0.7172270419880721,
      0.7056094930945482,
      0.6941915296055489,
      0.6829688869528351,
      0.6719374179258218,
      0.6610930918239355,
      0.6504319917251031,
      0.639950311833072,
      0.6296444063997487,
      0.6195110517854796,
      0.6095471554667999,
      0.5997495676548608,
      0.5901151324716601,
      0.580640719740058,
      0.5713232444026647,
      0.5621596779396807,
      0.5531470551885775,
      0.5442824776896434,
      0.5355631147189008,
      0.5269862033663865,
      0.5185490475863642,
      0.5102490170091043,
      0.5020835450775313,
      0.49405012759661565,
      0.4861463206974212,
      0.478369738969186,
      0.4707180536218536,
      0.46318899102399336,
      0.45578033053652767,
      0.4484902140722125,
      0.4413173823760176,
      0.4342603997472321,
      0.4273176177936241,
      0.4204872673936212,
      0.41376751728132294,
      0.4071565116025351,
      0.40065239309637546,
      0.39425331794727725,
      0.3879574648637154,
      0.3817630479635505,
      0.3756685408100527,
      0.3696725389572127,
      0.36377354051753635,
      0.35796999431423127,
      0.3522603297053958,
      0.34664297508608277,
      0.34111636961945774,
      0.33567897049855827,
      0.33032928131715966,
      0.32506594705046976,
      0.31988763543270027,
      0.31479298538448275,
      0.3097806273742078,
      0.3048491961172548,
      0.2999971470039303,
      0.2952228756211675,
      0.2905249172166502,
      0.28590171705545186,
      0.28135163241340116,
      0.27687317251179305,
      0.2724649719359845,
      0.2681257548137877,
      0.2638543109995054,
      0.2596494805664676,
      0.2555101431954905,
      0.25143521117682943,
      0.2474238230304855,
      0.2434754244404824,
      0.2395893542900677,
      0.23576483336170934,
      0.2320010108193721,
      0.22829699460253206,
      0.22465187135616796,
      0.22106471939565747,
      0.2175346173905129,
      0.2140606495134746,
      0.2106419093157386,
      0.20727750164451367,
      0.20396654410059362,
      0.20070810697921848,
      0.19750121976875168,
      0.19434496276489968,
      0.19123846167620473,
      0.18818087679288031,
      0.18517139559589627,
      0.18220922794062808,
      0.17929360274159167,
      0.17642376576491584,
      0.17359897819722184,
      0.17081851522270755,
      0.16808166547570044,
      0.16538773019694736,
      0.16273602309605847,
      0.16012586951469174,
      0.15755660650425204,
      0.15502758231068456,
      0.15253815601642984,
      0.15008769756728468,
      0.1476755874982075,
      0.14530121658004463,
      0.1429639856794429,
      0.1406633055448508,
      0.1383985967100285,
      0.13616928924745417,
      0.13397482267666908,
      0.1318146457223265,
      0.12968821601043948,
      0.12759500007740623,
      0.1255344732339812,
      0.12350611948836776,
      0.12150943111374755,
      0.11954390861716227,
      0.11760906067016128,
      0.11570440385531408,
      0.11382946266041397,
      0.11198376931986406,
      0.11016686358534862,
      0.10837829248906883,
      0.10661761049971832,
      0.10488437934650148,
      0.10317816770789677,
      0.10149855115909119,
      0.09984511207216712,
      0.09821743972362267,
      0.09661512971890676,
      0.09503778418292591,
      0.09348501177500432,
      0.09195642724962826,
      0.09045165152122019,
      0.08897031155291382,
      0.0875120403300152,
      0.08607647666034209,
      0.08466326506164205,
      0.08327205572939961,
      0.08190250439098493,
      0.08055427232261551,
      0.07922702604853799,
      0.07792043744376428,
      0.07663418359534378,
      0.07536794662146298,
      0.07412141364549214,
      0.07289427694081593,
      0.07168623356894199,
      0.07049698543948497,
      0.06932623898357344,
      0.06817370537468627,
      0.06703910032462995,
      0.06592214396322155,
      0.06482256088950104,
      0.06374008019518697,
      0.06267443492561926,
      0.061625362522359,
      0.06059260453741738,
      0.059575906623770346,
      0.05857501833724777,
      0.05758969317922018,
      0.05661968853555345,
      0.055664765710317726,
      0.054724689671362174,
      0.0537992290866293,
      0.05288815612292587,
      0.05199124674133767,
      0.051108280306956945,
      0.050239039653806467,
      0.04938331095905745,
      0.04854088389402695,
      0.04771155129180202,
      0.046895109364982715,
      0.04609135731211028,
      0.045300097521190845,
      0.044521135574990024,
      0.04375428006202346,
      0.04299934253569073,
      0.042256137468642874,
      0.04152448235177478,
      0.04080419755069332,
      0.040095105949950555,
      0.03939703349507599,
      0.03870980867344011,
      0.03803326279445764,
      0.03736722977130649,
      0.03671154601131846,
      0.03606605052592126,
      0.035430584796015255,
      0.034804992844133215,
      0.034189121122277975,
      0.03358281843127132,
      0.03298593606250395,
      0.03239832750382405,
      0.031819848497477723,
      0.03125035711925924,
      0.030689713746153077,
      0.030137780714544083,
      0.029594422507576917,
      0.029059505861911146,
      0.028532899577789993,
      0.028014474464340088,
      0.02750410334992162,
      0.02700166096658225,
      0.026507024083821044,
      0.026020071395493265,
      0.025540683490853876,
      0.025068742749983945,
      0.024604133430914964,
      0.024146741572857507,
      0.02369645500841077,
      0.023253163268128825,
      0.022816757701700142,
      0.022387131275115678,
      0.02196417859722433,
      0.02154779606677217,
      0.02113788155593264,
      0.020734334449316938,
      0.020337055956176367,
      0.019945948608689926,
      0.019560916478503904,
      0.01918186522711879,
      0.018808701774565378,
      0.01844133468526075,
      0.01807967391790611,
      0.0177236308291213,
      0.017373118188556143,
      0.017028050072428826,
      0.016688341813098615,
      0.016353910195248518,
      0.016024673193256272,
      0.015700550107884022,
      0.015381461459685103,
      0.015067328970173148,
      0.014758075668293019,
      0.014453625856022658,
      0.014153904887799546,
      0.013858839335956085,
      0.01356835689987684,
      0.013282386281628502,
      0.013000857377230926,
      0.012723701217596221,
      0.01245084988922002,
      0.0121822365732671,
      0.011917795423309266,
      0.011657461593273417,
      0.011401171269454958,
      0.011148861617386688,
      0.010900470778640876,
      0.010655937912030506,
      0.010415203120564813,
      0.010178207484144264,
      0.0099448929748779,
      0.009715202223012498,
      0.009489078972655862,
      0.009266467822659627,
      0.009047314149471934,
      0.008831564229736303,
      0.008619165258620824,
      0.008410065225407843,
      0.0082042128554481,
      0.008001557765436556,
      0.007802050246638718,
      0.007605641394094562,
      0.0074122830484307164,
      0.0072219278294770655,
      0.007034529153840698,
      0.006850041102984014,
      0.0066684184339760085,
      0.0064896166817282365,
      0.006313592016362308,
      0.006140301204711356,
      0.005969701885995299,
      0.005801752252815445,
      0.0056364110653870985,
      0.005473637813813179,
      0.005313392724679888,
      0.005155636471373328,
      0.005000330388603014,
      0.004847436479739543,
      0.004696917305786717,
      0.004548735844655589,
      0.004402855804152564,
      0.0042592415301847975,
      0.004117857790663667,
      0.003978669961512466,
      0.0038416439033194523,
      0.003706745986681549,
      0.0035739431891202993,
      0.0034432029843937443,
      0.0033144933676208677,
      0.0031877828504476794,
      0.00306304023561798,
      0.0029402350609231656,
      0.0028193372184346904,
      0.00270031707824355,
      0.002583145473984379,
      0.002467793677337623,
      0.002354233501452698,
      0.00224243700585695,
      0.0021323768448605653,
      0.002024026026540879,
      0.0019173580676766877,
      0.0018123468515486626,
      0.0017089665507436591,
      0.0016071918314416185,
      0.0015069977663888612,
      0.0014083598961295444,
      0.0013112539420490872,
      0.0012156562203076383,
      0.0011215432558917431,
      0.0010288920151227336,
      0.0009376797450000168,
      0.000847884062187798,
      0.000759483075085473,
      0.0006724551131663439,
      0.0005867787948289051,
      0.0005024331470406534,
      0.0004193974718624223,
      0.00033765139243981763,
      0.0002571749704257971,
      0.0001779485194742376,
      9.995247066429728e-05,
      2.316780456699215e-05,
      -5.2424316073501775e-05,
      -0.00012684234032280754,
      -0.000200104560574301,
      -0.00027222889156573715,
      -0.00034323301102136646,
      -0.0004131342252511274,
      -0.0004819497661361988,
      -0.0005496964517463023,
      -0.0006163909749368105,
      -0.0006820497207399584,
      -0.0007466887100166222,
      -0.0008103238084286076,
      -0.0008729706743908469,
      -0.0009346445661217656,
      -0.000995360624149119,
      -0.0010551336062146269,
      -0.0011139782251462687,
      -0.0011719089968058145,
      -0.0012289400489147596,
      -0.0012850852783574931,
      -0.0013403584502393747,
      -0.0013947731563702887,
      -0.0014483427416408102,
      -0.0015010803881481292,
      -0.0015529990395833004,
      -0.0016041113568359942,
      -0.0016544298566060925,
      -0.0017039667570017906,
      -0.0017527342737812194,
      -0.0018007444326908664,
      -0.0018480089004730277,
      -0.001894539272508431,
      -0.0019403468701412285,
      -0.0019854429823861937,
      -0.0020298386812265716,
      -0.0020735448713622294,
      -0.0021165722821929723,
      -0.0021589314719542064,
      -0.002200632830704322,
      -0.0022416864686730267,
      -0.002282102402116918,
      -0.0023218905226898407,
      -0.002361060668145224,
      -0.002399622520969874,
      -0.00243758547469414,
      -0.002474958925287701,
      -0.0025117519579347628,
      -0.002547973554678013,
      -0.0025836325659832275
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335068625794538,
      10.094737559722683,
      9.848666980856095,
      9.599538377806454,
      9.349698627998873,
      9.101184499915655,
      8.85569374148639,
      8.614571656845584,
      8.378812229091508,
      8.149074656117838,
      7.925714463912485,
      7.708824791456744,
      7.4982826465304075,
      7.293798911801737,
      7.094967612028672,
      6.9013107804352005,
      6.712315455154721,
      6.527465945444562,
      6.3462694448429255,
      6.168272941261181,
      5.993076369251559,
      5.820329907304232,
      5.649753346755936,
      5.4811489068839085,
      5.314395807832465,
      5.149451440984729,
      4.986348256182136,
      4.8251873424479,
      4.666139149336493,
      4.5094643039534255,
      4.35549585078736,
      4.204593701881354,
      4.057139913515004,
      3.91352644773302,
      3.7741434283355852,
      3.639354892468132,
      3.5094855407109504,
      3.384812506726568,
      3.26555950337104,
      3.1518934246618535,
      3.043922437111989,
      2.941683896601845,
      2.845142770194771,
      2.754185009787806,
      2.6686364843775277,
      2.5882794318113462,
      2.5128719579505097,
      2.4421588552801805,
      2.375879946901519,
      2.313761536801037,
      2.2555022752623337,
      2.200751638954072,
      2.149134893931626,
      2.100299196293415,
      2.0539114236883838,
      2.0096655501141476,
      1.9673029420587365,
      1.9266093450437776,
      1.8874063717616438,
      1.8495525295807684,
      1.8129320402515996,
      1.7774436544873744,
      1.7429993473889358,
      1.709527667048399,
      1.6769693114851585,
      1.6452738910658438,
      1.6143976581345991,
      1.5843019093374302,
      1.554951854083708,
      1.5263158077946108,
      1.498364612037674,
      1.4710698973874317,
      1.4444036240585914,
      1.4183409150873199,
      1.3928590788230504,
      1.3679378577146522,
      1.3435589831812218,
      1.3197067136472824,
      1.2963663314091614,
      1.2735234650674405,
      1.2511660654244123,
      1.229282131230931,
      1.2078590625689973,
      1.1868840639647502,
      1.1663444008085764,
      1.1462275589640136,
      1.1265220801924152,
      1.1072174541255064,
      1.0883035426720924,
      1.0697705208211612,
      1.0516084916808355,
      1.033807633188784,
      1.0163583011911614,
      0.9992510917703286,
      0.9824768764044799,
      0.9660268193267348,
      0.9498923830573082,
      0.9340653276979454,
      0.9185377053817932,
      0.9033018514049198,
      0.888350374919799,
      0.8736761487014022,
      0.8592722979915345,
      0.8451321899904137,
      0.831249423318259,
      0.8176178176233166,
      0.8042314041147965,
      0.7910844156046493,
      0.7781712781167518,
      0.7654866024835228,
      0.753025175838636,
      0.7407819541840794,
      0.7287520550665807,
      0.7169307503087657,
      0.7053134715800272,
      0.6938958206509229,
      0.682673527665719,
      0.6716424417134008,
      0.6607985292998872,
      0.6501378715007631,
      0.6396566612710435,
      0.6293513066017156,
      0.6192186579524613,
      0.6092555735315962,
      0.5994588717681821,
      0.5898253759847694,
      0.5803519424283313,
      0.5710354769179012,
      0.561872945159242,
      0.5528613782427695,
      0.5439978748764289,
      0.5352796022257016,
      0.5267037961059281,
      0.5182677597174786,
      0.509968861838621,
      0.5018045351318178,
      0.4937722748884325,
      0.48586963683360856,
      0.47809423517508187,
      0.4704437407849193,
      0.46291587937523077,
      0.45550843003745495,
      0.44821962335908605,
      0.4410482032408582,
      0.4339926982439422,
      0.42705143671605694,
      0.4202226345218001,
      0.4135044506710517,
      0.40689502295411345,
      0.40039248992648374,
      0.3939950049025327,
      0.3877007446634652,
      0.3815079355565406,
      0.37541506817511794,
      0.36942072539326,
      0.36352339731911654,
      0.3577215274014905,
      0.35201354149304653,
      0.3463978657512589,
      0.3408729377351278,
      0.3354372136451435,
      0.3300892023842347,
      0.3248275561606872,
      0.3196509369984728,
      0.31455798014400094,
      0.3095473137860304,
      0.3046175709554783,
      0.29976720879379126,
      0.29499462366541906,
      0.29029834867540427,
      0.28567691768278225,
      0.2811286932542428,
      0.27665214986437464,
      0.2722458991918502,
      0.2679086503052332,
      0.26363918327008784,
      0.2594363316313554,
      0.2552989708088747,
      0.2512260101144649,
      0.24721660256646613,
      0.24327019356299062,
      0.23938611460450046,
      0.23556358169220898,
      0.23180174076046367,
      0.22809969762463583,
      0.22445653735452922,
      0.2208713373593883,
      0.21734317557026228,
      0.21387113589080237,
      0.2104543114593686,
      0.20709180700900326,
      0.20378273994181775,
      0.20052617640078052,
      0.19732114551176197,
      0.19416672932757767,
      0.19106205455227326,
      0.1880062820687981,
      0.18499859984233394,
      0.18203821797752218,
      0.17912436555596875,
      0.17625628847945557,
      0.17343324802589286,
      0.17065451952775074,
      0.16791939156356997,
      0.1652271655650134,
      0.16257715517052113,
      0.1599686857948279,
      0.15740109445798167,
      0.1548737293524894,
      0.15238594968759658,
      0.14993712530290332,
      0.14752663666036098,
      0.14515387462391466,
      0.14281824015357367,
      0.14051914400265225,
      0.13825600673510316,
      0.1360282584786488,
      0.13383533867388395,
      0.13167669603529844,
      0.12955178829155747,
      0.1274600820863372,
      0.12540105277898117,
      0.12337418429721182,
      0.12137896892059469,
      0.11941490716610587,
      0.11748150771238602,
      0.11557828727320718,
      0.11370477036276937,
      0.11186048925147682,
      0.11004498366669306,
      0.10825780084181183,
      0.10649849526548437,
      0.10476662855011298,
      0.10306176953363697,
      0.10138349381367352,
      0.09973138388307011,
      0.09810502888123764,
      0.09650402465448979,
      0.0949279734635121,
      0.09337648376361325,
      0.0918491704386252,
      0.09034565443974092,
      0.08886556289713833,
      0.08740852880118549,
      0.08597419093954728,
      0.0845621939654922,
      0.08317218814364313,
      0.08180382924562069,
      0.08045677846510896,
      0.07913070246350837,
      0.07782527326000592,
      0.076540167924434,
      0.07527506862236198,
      0.0740296627227809,
      0.07280364245359094,
      0.07159670492817272,
      0.07040855203957083,
      0.0692388903914663,
      0.06808743115066129,
      0.0669538900690774,
      0.06583798742981174,
      0.06473944783217966,
      0.0636580003326387,
      0.06259337825530029,
      0.061545319098032125,
      0.0605135644949956,
      0.059497860083494794,
      0.058497955416981134,
      0.05751360415382256,
      0.0565445637459022,
      0.05559059550724245,
      0.05465146448056252,
      0.053726939429201134,
      0.052816792712739244,
      0.051920800242619275,
      0.05103874140989497,
      0.05017039910874514,
      0.04931555969999029,
      0.04847401279694051,
      0.047645551333644946,
      0.04682997154113106,
      0.04602707280845035,
      0.04523665753690952,
      0.044458531374730145,
      0.04369250293874143,
      0.04293838395837872,
      0.04219598896965186,
      0.04146513542116299,
      0.04074564373028984,
      0.04003733700122796,
      0.03934004116340509,
      0.03865358477718675,
      0.03797779911041212,
      0.03731251820018651,
      0.03665757859383714,
      0.0360128193895826,
      0.035378082108792376,
      0.034753210907911884,
      0.03413805223169055,
      0.03353245499013503,
      0.03293627042685068,
      0.032349352092175404,
      0.03177155595219751,
      0.03120274013795198,
      0.03064276486232931,
      0.030091492624808307,
      0.02954878805590673,
      0.029014517884466937,
      0.02848855100233304,
      0.027970758238007543,
      0.027461012507216206,
      0.026959188621191,
      0.026465163465337744,
      0.025978815740354502,
      0.025500026149534123,
      0.025028677065473244,
      0.024564652884624588,
      0.02410783972087597,
      0.02365812543738907,
      0.023215399538267137,
      0.02277955353145183,
      0.022350480484951495,
      0.0219280750535365,
      0.021512233559485217,
      0.02110285386792385,
      0.0206998355595157,
      0.020303079799633826,
      0.019912489301105726,
      0.019527968229544022,
      0.019149422165004044,
      0.01877675823476204,
      0.018409885092970004,
      0.0180487127408182,
      0.017693152530189996,
      0.01734311719160694,
      0.016998520893114172,
      0.016659279126391344,
      0.01632530860470086,
      0.015996527394396734,
      0.015672854771897737,
      0.01535421135246105,
      0.015040519020833427,
      0.014731700987687463,
      0.014427681507511643,
      0.014128385937863685,
      0.013833740701286866,
      0.013543673594722555,
      0.013258113519025255,
      0.012976990391060097,
      0.012700235339588752,
      0.012427780378003293,
      0.01215955866547721,
      0.011895504582203393,
      0.011635553242857559,
      0.011379640929330448,
      0.011127704834098097,
      0.010879683214810906,
      0.010635515241188092,
      0.010395141010839291,
      0.010158501549534425,
      0.009925538853412397,
      0.009696195858787024,
      0.009470416275296527,
      0.009248144676915563,
      0.00902932660241659,
      0.008813908367213184,
      0.008601837196375335,
      0.008393060934583044,
      0.008187528445910442,
      0.007985189419636341,
      0.007785994255478182,
      0.007589894021447443,
      0.007396840573749284,
      0.007206786609597732,
      0.007019685513227866,
      0.006835491516541574,
      0.006654159411266891,
      0.00647564467084432,
      0.006299903523377658,
      0.0061268928309980075,
      0.005956570181246717,
      0.005788893898671454,
      0.005623822875089171,
      0.005461316592555871,
      0.005301335187123859,
      0.005143839381430715,
      0.004988790578473619,
      0.004836150805615878,
      0.004685882603719592,
      0.004537949115517487,
      0.004392314029851043,
      0.004248941623894102,
      0.004107796826326795,
      0.003968844907743266,
      0.0038320519489305925,
      0.003697384319602192,
      0.003564809004381577,
      0.0034342935559405732,
      0.0033058059611923017,
      0.0031793147256364215,
      0.0030547887050220842,
      0.002932197466770712,
      0.0028115109160944066,
      0.002692699419318886,
      0.0025757338912197635,
      0.002460585668219905,
      0.002347226472192395,
      0.0022356284456098697,
      0.0021257643350232943,
      0.0020176070911943557,
      0.0019111302402974979,
      0.0018063076524750085,
      0.0017031137448000643,
      0.0016015232408408198,
      0.0015015112559739032,
      0.0014030531104616709,
      0.0013061246207050157,
      0.0012107021189524192,
      0.0011167622328848588,
      0.0010242818384998305,
      0.0009332382493319261,
      0.0008436091845460738,
      0.0007553726687075462,
      0.000668507053644816,
      0.0005829910417235395,
      0.0004988037230308346,
      0.0004159244423513228,
      0.00033433287079283976,
      0.00025400898324422287,
      0.00017493309433107708,
      9.708574905672127e-05,
      2.0447939316251343e-05,
      -5.49990917287739e-05,
      -0.00012927389783261463,
      -0.0002023947306647384,
      -0.000274379503316145,
      -0.000345245873612642,
      -0.0004150112304346868,
      -0.000483692723992023,
      -0.0005513071421618212,
      -0.0006178710656420861,
      -0.0006834007865821933,
      -0.0007479123599717847,
      -0.0008114215456745806,
      -0.0008739440039601836,
      -0.000935495096228776,
      -0.0009960899260604214,
      -0.0010557433223210256,
      -0.001114469878246195,
      -0.0011722839641585302,
      -0.001229199733203854,
      -0.0012852311385366032,
      -0.0013403919181849524,
      -0.001394695680755246,
      -0.001448155787211179,
      -0.00150078527599233,
      -0.0015525970797719301,
      -0.0016036039042271592,
      -0.001653818208143055,
      -0.001703252360383335,
      -0.0017519184976716568,
      -0.00179982856583043,
      -0.0018469942839409899,
      -0.0018934272540747194,
      -0.0019391388605068589,
      -0.0019841402570205846,
      -0.0020284423981211546,
      -0.002072056203090272,
      -0.0021149922548696627,
      -0.0021572612554104824,
      -0.0021988735906490523,
      -0.0022398394347638855,
      -0.0022801688092067957,
      -0.00231987153303484,
      -0.002358957375871151,
      -0.002397435918270038,
      -0.0024353166210504657,
      -0.002472608837072084,
      -0.002509321599801584,
      -0.0025454639132535795,
      -0.0025810447045866596
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335065121457959,
      10.094724532645154,
      9.848638429657628,
      9.599490017146639,
      9.349627483395953,
      9.101088641697292,
      8.855572043238384,
      8.614423579823425,
      8.378637640806646,
      8.148873681312956,
      7.925487494518437,
      7.708572309096607,
      7.498005098907633,
      7.293496686159716,
      7.094641010261132,
      6.900960047746651,
      6.711940822185015,
      6.5270676643242425,
      6.34584785124771,
      6.167828515294233,
      5.992609768832242,
      5.819842057081989,
      5.649245382018015,
      5.480622186396719,
      5.313851944373895,
      5.1488923009543335,
      4.985775868566802,
      4.824603967618844,
      4.665547346997873,
      4.508867367558099,
      4.3548973509890025,
      4.20399720820375,
      4.056548947903555,
      3.91294455100068,
      3.773574000418265,
      3.6388010391561565,
      3.508950025229395,
      3.384297710143986,
      3.2650673997129034,
      3.1514255682945844,
      3.0434798941197503,
      2.941267194984994,
      2.844751941840911,
      2.753819482014847,
      2.668295084855878,
      2.5879604132992107,
      2.5125734333964695,
      2.4418789203819133,
      2.375616500767287,
      2.313512393455321,
      2.2552653295044887,
      2.200524364718244,
      2.14891480239612,
      2.1000840310333606,
      2.053699219619826,
      2.0094544510968437,
      1.9670915182347561,
      1.9263965328536543,
      1.8871914042036086,
      1.8493348632821451,
      1.8127112936850907,
      1.7772195192630085,
      1.7427716067230514,
      1.7092961958368063,
      1.6767340494570768,
      1.6450348227537603,
      1.6141547993462713,
      1.5840552976124826,
      1.554701541624154,
      1.526061856725327,
      1.4981070906783591,
      1.4708089066824683,
      1.4441392909499782,
      1.4180733585839327,
      1.3925884100458752,
      1.3676641891442518,
      1.3432824898787414,
      1.319427668558198,
      1.2960849370162462,
      1.273239973833389,
      1.2508808329869194,
      1.228995408533073,
      1.2075710305639125,
      1.1865948575905523,
      1.1660541239803688,
      1.1459362956256993,
      1.1262299216817013,
      1.1069244836236058,
      1.0880098393909832,
      1.0694761554891112,
      1.05131352486803,
      1.0335121181933054,
      1.0160622862485647,
      0.9989546220475888,
      0.9821799948634633,
      0.9657295669679749,
      0.94959479971412,
      0.9337674519568513,
      0.9182395747480088,
      0.9030035029677244,
      0.8880518455526538,
      0.8733774743893357,
      0.8589735141670608,
      0.8448333317084086,
      0.8309505251688006,
      0.8173189136361326,
      0.8039325275531498,
      0.790785599615346,
      0.7778725553299262,
      0.7651880049597404,
      0.7527267353131456,
      0.7404837016162044,
      0.728454020968794,
      0.7166329646350872,
      0.7050159745199595,
      0.6935986525597709,
      0.6823767242079616,
      0.6713460353443063,
      0.6605025500449637,
      0.6498423476958263,
      0.6393616198332408,
      0.6290568677977784,
      0.6189249623231898,
      0.6089627176424067,
      0.5991669238751869,
      0.5895343857284334,
      0.5800619469526315,
      0.5707465053923397,
      0.5615850214886976,
      0.5525745224307306,
      0.5437121044211838,
      0.5349949332471826,
      0.5264202433685152,
      0.5179853367951512,
      0.5096875815243164,
      0.5015244098894901,
      0.4934933167141565,
      0.4855918572105442,
      0.47781764512394653,
      0.4701683509077379,
      0.462641699892578,
      0.45523547066709524,
      0.4479479827179535,
      0.4407779831742602,
      0.43372396455060325,
      0.42678423200745447,
      0.4199569864686092,
      0.41324037726713514,
      0.4066325356311463,
      0.4001315960306764,
      0.39373570913498385,
      0.38744304979480154,
      0.3812518564570239,
      0.3751606368952844,
      0.3691679611488436,
      0.36327231124380904,
      0.3574721253285401,
      0.3517658257861413,
      0.3461518365091297,
      0.3406285935139024,
      0.3351945519809625,
      0.32984822599319724,
      0.3245882751938903,
      0.31941335584380215,
      0.31432209946240497,
      0.30931313157548734,
      0.30438508371722733,
      0.29953641508144807,
      0.2947655226154173,
      0.2900709375445729,
      0.2854512434999886,
      0.28090486122913244,
      0.27643022526238087,
      0.2720259211931888,
      0.267690641044441,
      0.26342315356606844,
      0.25922228501971467,
      0.2550869059802361,
      0.2510159224808975,
      0.24700850160072513,
      0.24306408840960186,
      0.23918200700876938,
      0.2353614684371458,
      0.2316016153709988,
      0.22790155143477236,
      0.22426036033588806,
      0.22067711849764668,
      0.2171509031606965,
      0.21368079765125378,
      0.21026589497079198,
      0.2069052995818221,
      0.2035981288108934,
      0.20034344451707606,
      0.1971402755992164,
      0.19398770564602266,
      0.19088486233862137,
      0.18783090729892515,
      0.1848250289056339,
      0.18186643764509666,
      0.17895436283455085,
      0.17608805045304762,
      0.17326676192563034,
      0.17048977263628443,
      0.16775637122714682,
      0.16506585907780078,
      0.1624175498234212,
      0.15981076889202922,
      0.15724485339006591,
      0.15471915149095702,
      0.15223302244444756,
      0.14978583619610972,
      0.1473769731566171,
      0.14500582414596633,
      0.14267179009335837,
      0.14037428184171377,
      0.13811271994905297,
      0.1358865345046017,
      0.1336951650045588,
      0.13153806024301995,
      0.12941467801380763,
      0.12732448490964351,
      0.1252669563702839,
      0.12324157631883295,
      0.12124783709764776,
      0.11928523927750884,
      0.1173532915499327,
      0.11545151073398315,
      0.11357942133176728,
      0.111736555585806,
      0.10992245340184545,
      0.1081366619086811,
      0.1063787356776447,
      0.10464823641915641,
      0.10294473296403454,
      0.10126780104528524,
      0.09961702311615986,
      0.09799198839361815,
      0.09639229270247258,
      0.09481753823985803,
      0.0932673336796302,
      0.09174129401865452,
      0.09023904027995654,
      0.08876019955416493,
      0.08730440493495852,
      0.08587129525286935,
      0.08446051518186838,
      0.08307171507405794,
      0.08170455077920205,
      0.08035868362042503,
      0.07903378024945215,
      0.07772951266687822,
      0.07644555811853418,
      0.07518159888648289,
      0.07393732227962946,
      0.07271242059097889,
      0.07150659095558919,
      0.07031953529918636,
      0.06915096029129443,
      0.06800057721372658,
      0.06686810198929576,
      0.0657532548932913,
      0.06465576066908812,
      0.0635753483991645,
      0.06251175135404598,
      0.061464707152287655,
      0.0604339574182964,
      0.05941924794470552,
      0.05842032848852867,
      0.05743695263917554,
      0.056468877996771166,
      0.05551586585935621,
      0.05457768141089109,
      0.05365409332529243,
      0.052744874112835814,
      0.05184979979930636,
      0.0509686498542273,
      0.05010120725597581,
      0.049247258315664205,
      0.048406592850825714,
      0.04757900374868165,
      0.046764287247572554,
      0.04596224290296908,
      0.04517267316233562,
      0.04439538377478178,
      0.043630183545326065,
      0.04287688410053608,
      0.04213530016476667,
      0.04140524924339498,
      0.040686551666653914,
      0.039979030749562605,
      0.03928251238369009,
      0.03859682533920004,
      0.037921801014566846,
      0.037257273314026326,
      0.036603078907097485,
      0.035959056932138425,
      0.035325049088142414,
      0.034700899449863556,
      0.03408645466784159,
      0.03348156365624712,
      0.0328860777477347,
      0.032299850583943995,
      0.03172273809772856,
      0.031154598395667005,
      0.030595291942270255,
      0.030044681294702856,
      0.029502631132222457,
      0.02896900829346495,
      0.028443681612316644,
      0.027926522054417466,
      0.02741740257513232,
      0.026916198100163102,
      0.026422785437180185,
      0.025937043493969057,
      0.02545885298281551,
      0.02498809637381369,
      0.024524657982204445,
      0.024068424081918192,
      0.023619282625901364,
      0.023177123291191065,
      0.022741837517955395,
      0.022313318332456724,
      0.02189146052013074,
      0.021476160487063915,
      0.02106731618525789,
      0.020664827329972366,
      0.02026859508350928,
      0.019878522075181017,
      0.01949451262428001,
      0.01911647239708121,
      0.018744308584402024,
      0.018377929843385554,
      0.018017246098440298,
      0.017662168888570643,
      0.017312611013770563,
      0.016968486753528435,
      0.016629711568846146,
      0.01629620233085867,
      0.015967877122253286,
      0.015644655386773218,
      0.015326457753413947,
      0.015013206126186448,
      0.014704823619547617,
      0.014401234454217184,
      0.014102364073594028,
      0.013808139233131074,
      0.013518487681105897,
      0.013233338289077285,
      0.01295262108449426,
      0.012676267199094786,
      0.012404208744923801,
      0.012136378942644792,
      0.011872712113958656,
      0.011613143576803084,
      0.011357609544260258,
      0.011106047306986892,
      0.010858395112680436,
      0.01061459226995443,
      0.010374578910035213,
      0.01013829610129785,
      0.009905685795849373,
      0.009676690901036128,
      0.009451255252536182,
      0.009229323565731001,
      0.009010841358733302,
      0.00879575499963161,
      0.008584011724817353,
      0.008375559559281544,
      0.008170347309913855,
      0.007968324593608045,
      0.007769441849492591,
      0.007573650297042256,
      0.007380901929163524,
      0.0071911494447348245,
      0.007004346253766038,
      0.006820446479009991,
      0.006639405043173105,
      0.006461177492016893,
      0.006285720074291414,
      0.006112989716356012,
      0.005942944018513268,
      0.005775541266715189,
      0.005610740402344768,
      0.00544850095673033,
      0.005288783191075845,
      0.005131547934190108,
      0.004976756517817196,
      0.004824370981110929,
      0.004674353883399023,
      0.0045266684626632725,
      0.004381278452888664,
      0.00423814822830781,
      0.0040972425487377905,
      0.003958526847603456,
      0.0038219671533893116,
      0.0036875299818883256,
      0.003555182287357774,
      0.0034248916064478865,
      0.003296625930629237,
      0.0031703538922976116,
      0.0030460445081623862,
      0.0029236671529619877,
      0.002803191820785526,
      0.00268458902660929,
      0.002567829614047835,
      0.0024528849462860736,
      0.0023397268000863117,
      0.002228327401198824,
      0.002118659359873108,
      0.0020106959451088725,
      0.0019044105851527182,
      0.001799777036888184,
      0.0016967696135856193,
      0.0015953631793733214,
      0.0014955328851829117,
      0.0013972542302980297,
      0.0013005030488281895,
      0.0012052556439220868,
      0.001111488656387103,
      0.0010191791004179598,
      0.0009283042032195392,
      0.0008388416910147124,
      0.0007507697334028063,
      0.0006640667303482634,
      0.0005787112656700224,
      0.000494682423646393,
      0.00041195963053688875,
      0.00033052246573824905,
      0.00025035103962710016,
      0.00017142566733719625,
      9.372699509144104e-05,
      1.7235981355504177e-05,
      -5.8066253993615605e-05,
      -0.00013219805874641166,
      -0.0002051776957410039,
      -0.00027702307722144196,
      -0.0003477517717186805,
      -0.0004173811428823456,
      -0.00048592830950175067,
      -0.000553410072820504,
      -0.0006198430334414947,
      -0.0006852434718594889,
      -0.0007496273998895539,
      -0.0008130105915389185,
      -0.0008754086703614693,
      -0.0009368370119175099,
      -0.0009973106958835918,
      -0.0010568444572069445,
      -0.0011154527756541725,
      -0.001173150110871187,
      -0.0012299507109842522,
      -0.001285868541329683,
      -0.001340917224758025,
      -0.0013951102606628231,
      -0.0014484610651040724,
      -0.0015009825972377778,
      -0.0015526877921284243,
      -0.001603589375887905,
      -0.001653699915727114,
      -0.0017030315765783437,
      -0.0017515964872307907,
      -0.0017994065904703305,
      -0.001846473537304195,
      -0.0018928090063476696,
      -0.0019384243553206121,
      -0.001983330837314288,
      -0.002027539307636365,
      -0.002071060553085405,
      -0.0021139054231166516,
      -0.0021560843888248477,
      -0.0021976078134797383,
      -0.00223848586570315,
      -0.002278728616598297,
      -0.0023183458695464924,
      -0.002357347325784808,
      -0.002395742635355997,
      -0.002433541180385741,
      -0.002470752194710029,
      -0.0025073848765062323,
      -0.0025434482525045123,
      -0.0025789510609326976
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335061605933655,
      10.09471146262704,
      9.84860978363899,
      9.599441494252208,
      9.349556097086802,
      9.100992452715081,
      8.85544991539299,
      8.614274969461693,
      8.378462415352274,
      8.148671963993804,
      7.92525967814612,
      7.70831887757902,
      7.497726500549576,
      7.293193308487798,
      7.094313152868359,
      6.900607956139569,
      6.7115647274451,
      6.526667818971353,
      6.345424594228309,
      6.167382329125532,
      5.992141311905109,
      5.819352254047092,
      5.648735370140899,
      5.480093327903526,
      5.313305856428479,
      5.148330886893861,
      4.985201177315193,
      4.8240182583535,
      4.664953181967555,
      4.508268044871943,
      4.354296446085923,
      4.203398295322019,
      4.0559555541082,
      3.912360224294963,
      3.773002146657902,
      3.638244770719163,
      3.5084121104677712,
      3.3837805353364083,
      3.2645729427911667,
      3.1509553874025236,
      3.0430350591729987,
      2.9408482375625775,
      2.84435889600665,
      2.753451777123454,
      2.6679515493172667,
      2.5876393000510185,
      2.5122728545378084,
      2.4415969707757283,
      2.3753510790135004,
      2.313261313292985,
      2.255026485874232,
      2.2002952316222846,
      2.1486928915098935,
      2.099867085277742,
      2.0534852721829115,
      2.0092416443315946,
      1.9668784206736556,
      1.926182079190751,
      1.886974826155939,
      1.8491156163209648,
      1.8124889955971335,
      1.7769938600318982,
      1.7425423686139803,
      1.709063252973615,
      1.6764973402756806,
      1.6447943312042852,
      1.6139105412231467,
      1.583807309749535,
      1.5544498751911555,
      1.5258065728031445,
      1.4978482569467861,
      1.47054662334996,
      1.4438736836260984,
      1.4178045449663204,
      1.3923165014982375,
      1.3673892980183684,
      1.343004790589704,
      1.3191474336575375,
      1.2958023678338932,
      1.272955378415451,
      1.2505945465212442,
      1.2287076679977424,
      1.2072820081474525,
      1.1863046819669276,
      1.165762895859024,
      1.145644096209427,
      1.125936839828451,
      1.1066306009582447,
      1.0877152348497023,
      1.0691808991800482,
      1.0510176766029407,
      1.0332157306801713,
      1.015765407659342,
      0.9986572973019432,
      0.9818822662915264,
      0.9654314752166299,
      0.9492963842373675,
      0.9334687514970235,
      0.9179406273008455,
      0.9027043456876029,
      0.8877525146492221,
      0.8730780055748166,
      0.858673942840574,
      0.8445336928786247,
      0.8306508530624579,
      0.8170192422137255,
      0.8036328903046581,
      0.790486029397897,
      0.7775730844005984,
      0.7648886648722819,
      0.7524275573656576,
      0.7401847168326414,
      0.7281552596918056,
      0.7163344605095302,
      0.7047177699331915,
      0.6933007858825743,
      0.6820792296136996,
      0.6710489440838413,
      0.6602058913501289,
      0.6495461493658065,
      0.6390659083010107,
      0.6287617757244687,
      0.6186306264458838,
      0.6086692320537727,
      0.5988743549672053,
      0.5892427819063754,
      0.5797713448780154,
      0.5704569339446616,
      0.5612965040163529,
      0.5522870788007322,
      0.5434257521856463,
      0.5347096882119104,
      0.5261361199964819,
      0.5177023487778557,
      0.5094057417088672,
      0.50124373065546,
      0.4932138097067119,
      0.4853135336769028,
      0.47754051588672264,
      0.46989242640827894,
      0.462366990278987,
      0.454961985774441,
      0.447675821115175,
      0.4405072465693001,
      0.43345471877011105,
      0.42651651965313614,
      0.41969083498536686,
      0.41297580438489856,
      0.4063695528350088,
      0.39987021047791543,
      0.3934759252985711,
      0.38718487043203087,
      0.3809952963339299,
      0.3749057279691597,
      0.3689147227312033,
      0.36302075429509456,
      0.3572222556976962,
      0.35151764576189876,
      0.345905345947898,
      0.3403837910065584,
      0.3349514349941315,
      0.3296068011544979,
      0.32434855095167336,
      0.3191753354629403,
      0.314085782902281,
      0.3090785166277989,
      0.30415216675160645,
      0.2993051940978181,
      0.2945359964850634,
      0.2898431034067227,
      0.2852251293357456,
      0.2806805669744468,
      0.27620782456043186,
      0.27180545905606357,
      0.2674721433597019,
      0.26320663378245723,
      0.259007748201973,
      0.254874351596945,
      0.2508053465332097,
      0.24679991421836986,
      0.24285749899366987,
      0.2389774175053707,
      0.23515887583869055,
      0.23140101326863385,
      0.22770293116217014,
      0.22406371168311703,
      0.22048243026541786,
      0.21695816365828968,
      0.21348999479713077,
      0.21007701625047068,
      0.2067183322320737,
      0.20341305991243655,
      0.20016025698945383,
      0.1969589520281159,
      0.19380823024972288,
      0.19070722052330788,
      0.18765508503948997,
      0.1846510125732725,
      0.1816942138350356,
      0.17878391853769907,
      0.17591937287191103,
      0.1730998381948693,
      0.17032458994311403,
      0.16759291673388665,
      0.16490411998998583,
      0.1622575134574999,
      0.15965242269800559,
      0.1570881846372539,
      0.15456414753769548,
      0.15207967058750324,
      0.14963412381843266,
      0.14722688767759376,
      0.14485735292044985,
      0.14252492047549475,
      0.14022900123552706,
      0.1379690158014234,
      0.1357443943615844,
      0.1335545764723212,
      0.13139901084042302,
      0.12927715529159542,
      0.12718847639751374,
      0.12513244961264272,
      0.12310855896739985,
      0.1211162968833684,
      0.1191551640143255,
      0.1172246690431238,
      0.11532432872631133,
      0.1134536676463565,
      0.11161221814172936,
      0.10979952005824697,
      0.10801512062008424,
      0.1062585745284311,
      0.10452944351214674,
      0.10282729633423356,
      0.10115170872601009,
      0.09950226330014679,
      0.09787854924489717,
      0.09628016246686466,
      0.09470670530465229,
      0.09315778652557502,
      0.09163302110224328,
      0.09013203014429783,
      0.08865444080016024,
      0.08719988612907614,
      0.08576800511440583,
      0.0843584424431464,
      0.08297084841359399,
      0.0816048790471924,
      0.08026019575649788,
      0.07893646526076983,
      0.077633359628837,
      0.0763505561055278,
      0.07508773707777977,
      0.07384458984884948,
      0.07262080672307075,
      0.07141608504501223,
      0.07023012677958287,
      0.06906263864987329,
      0.06791333202500424,
      0.06678192279941582,
      0.06566813137793862,
      0.06457168253074233,
      0.06349230548082484,
      0.0624297336643873,
      0.061383704519234646,
      0.06035395985451384,
      0.059340245504491004,
      0.05834231123958326,
      0.05735991085686855,
      0.05639280192976095,
      0.05544074587066653,
      0.05450350782960889,
      0.05358085668316058,
      0.052672564961609145,
      0.05177840875089171,
      0.0508981675446939,
      0.05003162436364561,
      0.049178565741655716,
      0.0483387814517817,
      0.04751206456244769,
      0.04669821135364019,
      0.04589702134036879,
      0.04510829721959122,
      0.04433184475902079,
      0.04356747271688287,
      0.04281499294474288,
      0.04207422007246168,
      0.04134497170365938,
      0.040627068275239,
      0.03992033310611744,
      0.03922459225025758,
      0.03853967446510261,
      0.03786541120297169,
      0.037201636565308185,
      0.03654818721252354,
      0.03590490230650466,
      0.03527162362788107,
      0.03464819539772073,
      0.03403446419822512,
      0.03343027910563547,
      0.03283549154033887,
      0.032249955265761715,
      0.03167352616755209,
      0.031106062498737853,
      0.03054742466326855,
      0.029997475332524306,
      0.029456079316004725,
      0.028923103421065563,
      0.028398416657829093,
      0.027881889974997534,
      0.027373396493726825,
      0.026872811119511758,
      0.02638001081010616,
      0.025894874406157602,
      0.025417282608973153,
      0.0249471180417714,
      0.024484265197830594,
      0.02402861031921228,
      0.023580041371542543,
      0.023138448108114995,
      0.02270372196918037,
      0.022275756236038384,
      0.021854445689417534,
      0.021439686757462453,
      0.021031377485531123,
      0.02062941767130231,
      0.020233708542301082,
      0.019844152846273583,
      0.019460654839265932,
      0.019083120298423798,
      0.018711456426664077,
      0.018345571762445143,
      0.01798537650869439,
      0.017630782212537995,
      0.017281701832297366,
      0.016938049517252772,
      0.01659974085649401,
      0.016266692764430542,
      0.015938823409293694,
      0.015616052147059334,
      0.01529829982256312,
      0.014985488369757336,
      0.01467754086853018,
      0.014374381796477424,
      0.014075936592778155,
      0.013782131887577822,
      0.013492895621462915,
      0.013208156705552927,
      0.012927845188098037,
      0.01265189227265498,
      0.012380230080194357,
      0.01211279191093336,
      0.011849512084350793,
      0.011590325872442592,
      0.011335169684881042,
      0.011083980927643781,
      0.010836697878411516,
      0.010593259775265639,
      0.01035360683902602,
      0.010117680178687484,
      0.009885421923064856,
      0.009656774949200407,
      0.00943168305264153,
      0.009210090994040212,
      0.00899194428885179,
      0.00877718943896423,
      0.008565773690812236,
      0.008357645197393482,
      0.008152752821124596,
      0.00795104620053991,
      0.0077524758387485385,
      0.0075569928648120815,
      0.007364549344357863,
      0.007175098085191342,
      0.006988592477560577,
      0.006804986648317195,
      0.006624235567318062,
      0.0064462948578565184,
      0.006271120889686248,
      0.0060986705631384044,
      0.005928901553711917,
      0.005761772075798983,
      0.0055972411068792504,
      0.005435268328100613,
      0.005275813927994791,
      0.005118838764232688,
      0.004964304324605229,
      0.004812172613771598,
      0.004662406277922645,
      0.004514968483530784,
      0.004369823052557214,
      0.004226934352470418,
      0.0040862673024415295,
      0.003947787439485506,
      0.0038114606493018658,
      0.0036772535032168012,
      0.003545133082549992,
      0.0034150669001539588,
      0.0032870230592308104,
      0.00316097000721041,
      0.003036876806218585,
      0.002914713049951843,
      0.0027944487441703583,
      0.002676054290838421,
      0.002559500651846664,
      0.0024447591648637367,
      0.0023318017108816327,
      0.0022206005656788923,
      0.002111128335540704,
      0.002003358097645004,
      0.0018972635616484222,
      0.0017928186673937723,
      0.001689997718129476,
      0.001588775464071491,
      0.0014891270668581044,
      0.0013910279765534741,
      0.001294454026152851,
      0.0011993814702409593,
      0.0011057871845916365,
      0.0010136482188665581,
      0.0009229418975766114,
      0.0008336458453763885,
      0.0007457381983814235,
      0.0006591973655523555,
      0.000574002128441363,
      0.0004901315133317402,
      0.00040756493168699943,
      0.0003262821308567149,
      0.0002462630893067188,
      0.00016748823072863832,
      8.993811790809681e-05,
      1.3593726508189156e-05,
      -6.15637505946216e-05,
      -0.0001355526273141308,
      -0.00020839113956073373,
      -0.00028009712260023274,
      -0.00035068817657615587,
      -0.00042018167806365025,
      -0.0004885947914012467,
      -0.0005559441858953587,
      -0.0006222464640780201,
      -0.0006875178450648778,
      -0.0007517743364665587,
      -0.0008150317526885321,
      -0.0008773056815123828,
      -0.0009386113227348536,
      -0.0009989637196568244,
      -0.0010583777798395361,
      -0.001116868015610848,
      -0.0011744487856546156,
      -0.0012311343257247272,
      -0.0012869385183285516,
      -0.0013418750427515017,
      -0.0013959573714088715,
      -0.0014491988547447737,
      -0.0015016124680155489,
      -0.0015532111869117687,
      -0.0016040077329662547,
      -0.0016540145536724136,
      -0.0017032438902742988,
      -0.0017517078578163762,
      -0.0017994182444542894,
      -0.0018463868250511264,
      -0.0018926251082985698,
      -0.0019381444519779403,
      -0.001982956075832828,
      -0.0020270709908092855,
      -0.0020704999025132394,
      -0.0021132536095940704,
      -0.0021553426706317166,
      -0.0021967773503274728,
      -0.002237567818687728,
      -0.002277724019281001,
      -0.0023172558865071653,
      -0.002356173174279219,
      -0.0023944854120853103,
      -0.0024322019931410756,
      -0.002469332153998833,
      -0.0025058849088500394,
      -0.0025418693459583696,
      -0.002577294313459953
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33505808827381,
      10.094698378937196,
      9.8485810987267,
      9.599392894348698,
      9.349484586943031,
      9.100896085225,
      8.855327548427717,
      8.614126056227388,
      8.378286819007279,
      8.148469806546201,
      7.92503135152409,
      7.708064865976215,
      7.497447253769677,
      7.292889215881899,
      7.093984518207952,
      6.900255028071711,
      6.711187738424593,
      6.526267021079656,
      6.345000326508784,
      6.166935072647935,
      5.991671726232253,
      5.818861266461402,
      5.648224119527949,
      5.479563179297796,
      5.31275842865524,
      5.147768089687904,
      4.984625060980441,
      4.823431083646479,
      4.664357572873764,
      4.507667345693593,
      4.353694214584802,
      4.202798101350839,
      4.055360920975601,
      3.9117746966319307,
      3.772429127098712,
      3.6376873682526414,
      3.5078730910142113,
      3.3832622832155983,
      3.264077434489201,
      3.150484179576751,
      3.042589219569551,
      2.9404282946892173,
      2.8439648819832235,
      2.7530831191140943,
      2.6676070747199017,
      2.5873172601916803,
      2.5119713598181357,
      2.4413141154236215,
      2.375084760484442,
      2.3130093444650175,
      2.25478676266728,
      2.200065230122509,
      2.148470125374526,
      2.0996492992419835,
      2.053270501308452,
      2.0090280306337793,
      1.966664532621706,
      1.9259668517988844,
      1.8867574908839246,
      1.8488956279646869,
      1.8122659714930007,
      1.7767674901484107,
      1.7423124349303687,
      1.708829629317365,
      1.6762599648330012,
      1.6445531872702974,
      1.6136656431308811,
      1.583558693596598,
      1.5541975922939155,
      1.5255506839542112,
      1.497588829158286,
      1.4702837563471716,
      1.4436075029782545,
      1.4175351682692166,
      1.392044039294925,
      1.3671138613277452,
      1.3427265541719065,
      1.3188666702085494,
      1.295519278783935,
      1.272670319437944,
      1.2503078410769113,
      1.2284195389654091,
      1.2069926187082993,
      1.1860141555509964,
      1.1654713288938352,
      1.145351567388953,
      1.125643436154862,
      1.1063364028014917,
      1.0874203199323156,
      1.0688853371495504,
      1.050721527004353,
      1.0329190458445057,
      1.0154682351702442,
      0.9983596813297555,
      0.9815842490696317,
      0.9651330972873777,
      0.9489976848916969,
      0.9331697691041168,
      0.9176413993232081,
      0.9024049091967112,
      0.8874529062226675,
      0.8727782612871475,
      0.8583740980422147,
      0.8442337822712855,
      0.8303509108166,
      0.8167193019248963,
      0.8033329851956371,
      0.7901861923089141,
      0.7772733478478286,
      0.764589060894973,
      0.752128117288389,
      0.7398854714768268,
      0.7278562393239421,
      0.716035701037805,
      0.7044193139804851,
      0.693002670867386,
      0.6817814891694196,
      0.6707516090272436,
      0.6599089905587482,
      0.6492497101340674,
      0.6387699909162259,
      0.6284665284801704,
      0.6183361680628415,
      0.6083756451486735,
      0.5985816983662469,
      0.5889510990132112,
      0.5794806689854843,
      0.570167291396512,
      0.5610079168071578,
      0.5519995658829316,
      0.5431393303792339,
      0.5344243728460796,
      0.5258519255408313,
      0.5174192885997629,
      0.5091238287371197,
      0.5009629771210126,
      0.4929342274354465,
      0.4850351339429893,
      0.47726330964060604,
      0.4696164242947328,
      0.46209220247150345,
      0.4546884623914599,
      0.44740367839775724,
      0.44023656413700113,
      0.4331855481976597,
      0.426248894456542,
      0.41942477682652896,
      0.41271132737382954,
      0.4061066660962492,
      0.3996089199069614,
      0.3932162344372836,
      0.3869267813828103,
      0.38073882350732496,
      0.3746509031119966,
      0.3686615648599135,
      0.36276927434542655,
      0.35697245928070725,
      0.3512695351082399,
      0.34565892102266554,
      0.34013905016782975,
      0.3347083756165979,
      0.3293654313267891,
      0.3241088785014154,
      0.31893736333059347,
      0.3138495108901874,
      0.30884394258818365,
      0.30391928707745985,
      0.29907400700505327,
      0.2943065008211755,
      0.289615296276481,
      0.28499900655486476,
      0.28045621369700136,
      0.2759853317559108,
      0.27158488274505976,
      0.26725351670577824,
      0.26298997497510207,
      0.25879306561055077,
      0.2546616469524066,
      0.25059461707812997,
      0.24659117072757708,
      0.24265075124994095,
      0.23877266757462046,
      0.23495612071138122,
      0.2312002466921728,
      0.22750414460687785,
      0.22386689514600594,
      0.22028757277397182,
      0.21676525336239338,
      0.2132990194634291,
      0.20988796332137108,
      0.20653118906042248,
      0.20322781385469021,
      0.19997689094360382,
      0.19677744860474658,
      0.19362857358554564,
      0.1905293957724561,
      0.18747907821169138,
      0.18447681009382516,
      0.18152180247504365,
      0.17861328502629492,
      0.17575050419452565,
      0.17293272140851446,
      0.1701592122073584,
      0.16742926543062325,
      0.16474218245501898,
      0.16209727699141505,
      0.15949387455099656,
      0.15693131212004904,
      0.15440893788404544,
      0.15192611114049828,
      0.14948220187289324,
      0.14707659058924774,
      0.14470866805557875,
      0.1423778353127769,
      0.14008350324527566,
      0.13782509248970545,
      0.13560203323144393,
      0.13341376501652516,
      0.13125973660980636,
      0.12913940582972758,
      0.12705223933412632,
      0.12499771257244661,
      0.12297530957413684,
      0.12098452278228343,
      0.11902485289482528,
      0.11709580873104335,
      0.11519690702828082,
      0.1133276723403484,
      0.1114876370942525,
      0.10967634122717512,
      0.10789333202594138,
      0.10613816410466166,
      0.10441039924120982,
      0.10270960626264286,
      0.10103536104317377,
      0.09938724619471821,
      0.09776485117470485,
      0.0961677717233362,
      0.09459561020013678,
      0.0930479754657572,
      0.09152448249993564,
      0.09002475246020233,
      0.08854841258372047,
      0.08709509600224917,
      0.08566444179068886,
      0.08425609466725384,
      0.0828697050600393,
      0.08150492892048455,
      0.08016142769288301,
      0.07883886819510895,
      0.07753692255695221,
      0.07625526811008274,
      0.07499358734168304,
      0.07375156773906173,
      0.07252890159506517,
      0.07132528620610047,
      0.07014042370342527,
      0.06897402081915799,
      0.06782578901611883,
      0.06669544422082771,
      0.06558270684686428,
      0.06448730178663668,
      0.06340895827982253,
      0.06234740984221354,
      0.0613023940703815,
      0.06027365276691055,
      0.05926093184563536,
      0.05826398115677591,
      0.05728255450791418,
      0.056316409642732455,
      0.05536530800177031,
      0.05442901485680261,
      0.053507299173127354,
      0.05259993348561667,
      0.05170669389337079,
      0.050827360029288164,
      0.049961714992042036,
      0.04910954525969354,
      0.04827064072065073,
      0.04744479453623069,
      0.04663180309845107,
      0.045831466098597264,
      0.04504358615983172,
      0.04426796904061651,
      0.043504423602018116,
      0.04275276175830858,
      0.04201279833406111,
      0.041284350910080966,
      0.040567240061752025,
      0.039861289156786266,
      0.039166324380295055,
      0.03848217455089644,
      0.03780867109964645,
      0.037145648164198415,
      0.03649294248934799,
      0.03585039331869079,
      0.03521784250272279,
      0.034595134317945475,
      0.03398211545093963,
      0.03337863506512065,
      0.032784544625561844,
      0.03219969786006653,
      0.031623950849826166,
      0.031057161798229215,
      0.030499191234118112,
      0.029949901975936444,
      0.02940915883764011,
      0.02887682870491818,
      0.028352780619233,
      0.027836885647690858,
      0.027329016875236225,
      0.026829049347578446,
      0.026336859989485397,
      0.02585232776620701,
      0.025375333515347494,
      0.02490575995152308,
      0.024443491468297766,
      0.02398841440487791,
      0.02354041690655767,
      0.02309938886862735,
      0.022665221753673477,
      0.022237808701046923,
      0.021817044553855018,
      0.021402825867025733,
      0.020995050826864464,
      0.020593619144875872,
      0.020198432014872772,
      0.01980939232411324,
      0.01942640444460197,
      0.019049374157508764,
      0.018678208748425257,
      0.018312817006713472,
      0.017953109135472017,
      0.017598996749471234,
      0.017250392757843878,
      0.016907211404428028,
      0.016569368268879284,
      0.01623678027929815,
      0.015909365711008722,
      0.01558704416538768,
      0.015269736324454055,
      0.014957364155435545,
      0.014649850897199888,
      0.014347121026631816,
      0.014049100026221045,
      0.013755714581591414,
      0.013466892637534518,
      0.013182563268243172,
      0.012902656538960154,
      0.012627103658068746,
      0.012355836802635673,
      0.012088789310551616,
      0.011825895667060321,
      0.01156709121598356,
      0.011312312275148168,
      0.011061496211770364,
      0.010814581438477017,
      0.010571507239362718,
      0.010332213889627552,
      0.010096642542137858,
      0.009864735371829532,
      0.009636435399735842,
      0.009411686390395054,
      0.009190433140114335,
      0.008972621279304992,
      0.008758197288364968,
      0.00854710843385405,
      0.00833930293069878,
      0.008134729643442952,
      0.00793333830532572,
      0.007735079499430397,
      0.007539904394646846,
      0.007347764922978192,
      0.007158613959896175,
      0.006972405082187728,
      0.006789092500101273,
      0.0066086312469706004,
      0.006430977015176328,
      0.0062560859759333886,
      0.00608391503986927,
      0.005914422006039291,
      0.005747565237143869,
      0.00558330375707112,
      0.005421597198096457,
      0.005262405737851788,
      0.005105690274021837,
      0.004951412340575555,
      0.004799534007820797,
      0.004650017994326696,
      0.004502827596786762,
      0.004357926660710282,
      0.004215279406382791,
      0.004074850810531379,
      0.003936606328387093,
      0.003800512038245519,
      0.003666534584579838,
      0.003534641008944447,
      0.0034047989195900275,
      0.0032769764216833315,
      0.003151142030074245,
      0.0030272647684108185,
      0.002905314263619674,
      0.002785260512395566,
      0.00266707401186906,
      0.002550725719589102,
      0.002436187124286446,
      0.0023234300638985267,
      0.0022124267612386407,
      0.002103149975913377,
      0.001995572846259518,
      0.001889668904962996,
      0.0017854121850515365,
      0.0016827770987337663,
      0.001581738343480055,
      0.0014822711525472468,
      0.0013843510766897878,
      0.0012879541046952932,
      0.00119305641632963,
      0.001099634702327261,
      0.0010076660474157664,
      0.0009171278022271913,
      0.0008279977869866493,
      0.0007402539627096852,
      0.0006538746945254131,
      0.0005688389084586335,
      0.00048512579242731755,
      0.0004027147273661004,
      0.0003215855050657317,
      0.00024171819175297193,
      0.0001630930688773332,
      8.569083547357989e-05,
      9.492589818048931e-06,
      -6.552049943903655e-05,
      -0.0001393667390057153,
      -0.00021206432656325656,
      -0.0002836312247264422,
      -0.0003540850218171987,
      -0.00042344309005149937,
      -0.0004917223354591453,
      -0.0005589395379528333,
      -0.0006251113026689696,
      -0.000690253921534119,
      -0.0007543833737051292,
      -0.0008175153565104237,
      -0.0008796653787177951,
      -0.0009408487517674504,
      -0.0010010804777253108,
      -0.0010603754229688053,
      -0.0011187481220576423,
      -0.0011762128601257066,
      -0.001232783792709197,
      -0.0012884748677362882,
      -0.0013432997529245904,
      -0.0013972718767776152,
      -0.0014504045323577802,
      -0.0015027107766425322,
      -0.0015542034372158803,
      -0.0016048952645474521,
      -0.0016547985938523972,
      -0.0017039257690948564,
      -0.00175228888584561,
      -0.0017998997498013456,
      -0.0018467701013299004,
      -0.0018929114769530167,
      -0.0019383351657002224,
      -0.001983052323393239,
      -0.002027073959055365,
      -0.002070410952877043,
      -0.002113073888903483,
      -0.002155073185650335,
      -0.0021964192196866385,
      -0.00223712219471931,
      -0.002277192130681415,
      -0.002316638845795273,
      -0.0023554719315712217,
      -0.002393701121382611,
      -0.0024313357237228167,
      -0.0024683850346213228,
      -0.0025048580942865916,
      -0.0025407638435816257,
      -0.0025761110696919548
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335054576105497,
      10.094685506618347,
      9.848552794121273,
      9.599344814282405,
      9.349413707411008,
      9.100800434764421,
      8.85520596424741,
      8.613977973142367,
      8.37811208687431,
      8.1482685610457,
      7.924803998297489,
      7.707811875831227,
      7.497169065909803,
      7.2925862116906375,
      7.09365699342324,
      6.899903223701855,
      6.7108118830054515,
      6.525867365463542,
      6.344577207722051,
      6.166488971884617,
      5.991203302655206,
      5.818371447534409,
      5.647714044682724,
      5.479034213303344,
      5.312212190221427,
      5.147206487924893,
      4.984050147457659,
      4.822845118278535,
      4.663763209178245,
      4.507067943155669,
      4.353093316865037,
      4.202199267722681,
      4.054767663307304,
      3.9111905487134693,
      3.7718574821107813,
      3.6371313271203376,
      3.5073354113798634,
      3.382745340535961,
      3.2635831977773093,
      3.150014198326725,
      3.0421445559176004,
      2.940009473193462,
      2.8435719312864745,
      2.7527154651152124,
      2.6672635435648724,
      2.586996102753163,
      2.5116706881198665,
      2.441032025246603,
      2.3748191520486506,
      2.312758034651535,
      2.254547652862815,
      2.199835802573151,
      2.1482478990818494,
      2.099432024399573,
      2.053056218275742,
      2.008814886988292,
      1.9664511003120975,
      1.9257520689762277,
      1.8865405916896094,
      1.8486760700722618,
      1.8120433733727837,
      1.7765415426546536,
      1.7420829208290216,
      1.7085964229679167,
      1.6760230048998788,
      1.6443124573694792,
      1.6134211582147844,
      1.5833104903740347,
      1.553945721614923,
      1.5252952065922976,
      1.497329812247454,
      1.4700212993658075,
      1.443341731336806,
      1.41726619913548,
      1.3917719829715027,
      1.3668388294917322,
      1.3424487213590857,
      1.3185863095336061,
      1.2952365918227542,
      1.2723856625501304,
      1.2500215369154788,
      1.228131810650473,
      1.2067036293374986,
      1.185724027941397,
      1.1651801594994378,
      1.145059434398918,
      1.1253504267033676,
      1.106042600214039,
      1.0871258028327737,
      1.0685901732695058,
      1.0504257745599046,
      1.032622756625617,
      1.0151714563944092,
      0.9980624575861445,
      0.9812866223704163,
      0.9648351081774187,
      0.9486993727859253,
      0.9328711723619495,
      0.9173425556196133,
      0.9021058552743271,
      0.8871536782962292,
      0.8724788951343062,
      0.8580746291377466,
      0.8439342454548275,
      0.8300513403082442,
      0.8164197314846967,
      0.8030334481725674,
      0.7898867212748629,
      0.7769739751894195,
      0.7642898186847762,
      0.7518290369452528,
      0.7395865838243555,
      0.7275575746401856,
      0.7157373001122361,
      0.7041212177483409,
      0.692704915230989,
      0.6814841068188857,
      0.6704546303543105,
      0.6596124441001634,
      0.6489536232573143,
      0.6384744465453959,
      0.6281716855719137,
      0.6180421335235983,
      0.6080824939013243,
      0.5982894844183011,
      0.5886598624865561,
      0.5791904408829615,
      0.5698780968839706,
      0.5607197769690525,
      0.5517124991533817,
      0.542853353144086,
      0.5341395001597001,
      0.5255681713486945,
      0.517136666256786,
      0.5088423509077555,
      0.5006826560276687,
      0.49265507484536164,
      0.4847571612245849,
      0.47698652768623945,
      0.46934084341123,
      0.4618178326961425,
      0.45441536008744104,
      0.44713196233175456,
      0.43996631060661867,
      0.4329168066676846,
      0.4259816969521395,
      0.41915914420916955,
      0.4124472730548097,
      0.4058441987275829,
      0.3993480450848496,
      0.3929569556781215,
      0.3866691005282016,
      0.3804827549792784,
      0.37439647866118775,
      0.36840880332041304,
      0.3625181866146121,
      0.3567230511251259,
      0.3510218087272926,
      0.3454128762775492,
      0.33989468546796586,
      0.33446568837822266,
      0.3291244294918765,
      0.3238695700968005,
      0.31869975139678314,
      0.31361359517966697,
      0.30860972072747045,
      0.3036867552611177,
      0.29884316330163274,
      0.2940773440579935,
      0.2893878235758457,
      0.2847732140038829,
      0.2802321541780029,
      0.2757631079365991,
      0.2713645582104643,
      0.2670351296794263,
      0.2627735468318741,
      0.25857860655102405,
      0.2544491600436241,
      0.25038410059967664,
      0.24638263605538702,
      0.24244420867818503,
      0.2385681195797586,
      0.23475356454442567,
      0.23099967605915397,
      0.22730555092743066,
      0.2236702684456142,
      0.22009290197165873,
      0.2165725266546501,
      0.213108224602376,
      0.20969908785175975,
      0.20634422031293484,
      0.20304273685194849,
      0.19979368770545047,
      0.19659610282517218,
      0.1934490701353449,
      0.19035172042265233,
      0.18730321718066043,
      0.18430275002853314,
      0.18134953012716487,
      0.1784427875133702,
      0.1755817686764726,
      0.17276573508145013,
      0.1699939622903304,
      0.16726573910111617,
      0.1645803669680333,
      0.16193715947997664,
      0.1593354422645212,
      0.1567745524082335,
      0.15425383812310564,
      0.15177265862089248,
      0.1493303840105743,
      0.1469263948886781,
      0.1445600820601085,
      0.1422308464209485,
      0.13993809878698635,
      0.13768125989699254,
      0.13545975998021526,
      0.13327303856810324,
      0.13112054441557694,
      0.1290017354564065,
      0.12691607836625102,
      0.12486304868004602,
      0.12284213050416454,
      0.1208528161910414,
      0.11889460645301898,
      0.11696701018412593,
      0.11506954411703041,
      0.11320173306464715,
      0.11136310934127243,
      0.10955321288888581,
      0.10777159103353538,
      0.10601779852026959,
      0.10429139716536884,
      0.10259195586900427,
      0.10091905040955625,
      0.09927226357281342,
      0.09765118472554221,
      0.09605540979977968,
      0.0944845412987138,
      0.09293818798184052,
      0.09141596495946111,
      0.08991749336373699,
      0.08844240044757706,
      0.08699031950114397,
      0.08556088962725944,
      0.08415375560707147,
      0.0827685679159715,
      0.08140498258793419,
      0.08006266108018249,
      0.07874127035437564,
      0.07744048256379019,
      0.07615997508066265,
      0.07489943026153378,
      0.07365853572753357,
      0.0724369840617992,
      0.07123447260140138,
      0.07005070338355222,
      0.06888538321307346,
      0.06773822365236426,
      0.06660894074548673,
      0.06549725505750258,
      0.06440289157489319,
      0.06332557950714106,
      0.06226505223157044,
      0.06122104756820239,
      0.06019330739961317,
      0.05918157775181803,
      0.05818560852098973,
      0.05720515362198785,
      0.05623997081136445,
      0.05528982158517003,
      0.05435447123056067,
      0.053433688767609074,
      0.052527246876780065,
      0.051634921750542954,
      0.05075649304119911,
      0.04989174396477236,
      0.0490404610749423,
      0.04820243424333924,
      0.04737745679564004,
      0.04656532516471326,
      0.0457658389655771,
      0.04497880096148075,
      0.04420401705186147,
      0.04344129616688434,
      0.04269045025959283,
      0.04195129422367047,
      0.041223645765074333,
      0.04050732555489013,
      0.03980215698607678,
      0.039107966255976005,
      0.03842458220137071,
      0.037751836449480325,
      0.03708956325183676,
      0.03643759929297579,
      0.03579578394151213,
      0.03516395910408935,
      0.03454196911147935,
      0.03392966072831579,
      0.03332688318516404,
      0.032733487984559384,
      0.03214932893849965,
      0.03157426213854028,
      0.031008145985561657,
      0.03045084106915027,
      0.02990221008133825,
      0.029362117935411148,
      0.02883043168956168,
      0.028307020453871908,
      0.02779175538123507,
      0.027284509570633855,
      0.026785158169170462,
      0.02629357815733811,
      0.025809648510546016,
      0.025333250177367015,
      0.024864265874697446,
      0.024402580118664932,
      0.023948079294576256,
      0.023500651568504827,
      0.023060186856758386,
      0.022626576725814546,
      0.02219971441315917,
      0.02177949493267751,
      0.02136581481619078,
      0.02095857225706486,
      0.020557667039138496,
      0.02016300054501591,
      0.019774475656064452,
      0.019391996677476174,
      0.019015469548660072,
      0.018644801608239062,
      0.018279901650946877,
      0.01792067996469382,
      0.017567048099850366,
      0.017218919057138897,
      0.016876207232787103,
      0.016538828280519585,
      0.01620669914974257,
      0.015879738173428165,
      0.01555786495809954,
      0.015241000272165376,
      0.01492906609160095,
      0.01462198574573203,
      0.014319683667495165,
      0.014022085548749763,
      0.013729118208103352,
      0.01344070944376145,
      0.013156788437495568,
      0.012877285305187357,
      0.012602131280843296,
      0.012331258618437212,
      0.012064600733594928,
      0.01180209205680472,
      0.011543668005228243,
      0.011289265111242227,
      0.011038820690566725,
      0.010792273175371889,
      0.010549561949025668,
      0.01031062724843641,
      0.010075410323874153,
      0.00984385331017533,
      0.009615899298804943,
      0.009391492159112749,
      0.009170576744518353,
      0.008953098656610965,
      0.00873900443914949,
      0.008528241400074047,
      0.008320757799212498,
      0.008116502626010973,
      0.007915425647631695,
      0.00771747733260009,
      0.00752260901901337,
      0.00733077279996756,
      0.007141921450038255,
      0.006956008545426551,
      0.006772988370617067,
      0.006592815789883577,
      0.006415446655710554,
      0.006240837266125926,
      0.006068944708709424,
      0.005899726698558526,
      0.005733141596683734,
      0.005569148493929429,
      0.005407707007088768,
      0.005248777495728689,
      0.005092320855312765,
      0.004938298554515882,
      0.004786672655731641,
      0.004637405920720015,
      0.004490461683442199,
      0.004345803814332227,
      0.004203396775542714,
      0.004063205557974701,
      0.003925195613676268,
      0.003789333076655093,
      0.0036555844770890765,
      0.0035239169280255364,
      0.003394298079089717,
      0.003266695957680551,
      0.0031410792504837836,
      0.003017417046937957,
      0.002895678915286818,
      0.0027758349102617826,
      0.00265785564623469,
      0.002541712150237984,
      0.002427375811729939,
      0.0023148184039091034,
      0.002204012240119333,
      0.0020949301986996926,
      0.0019875453873329,
      0.0018818314131273937,
      0.0017777622343142314,
      0.0016753122678929045,
      0.0015744563147523285,
      0.0014751696768707282,
      0.001377427926890816,
      0.0012812069713439992,
      0.0011864831403184766,
      0.001093233081871635,
      0.001001433950364585,
      0.0009110631322480994,
      0.0008220984434881871,
      0.0007345180298281842,
      0.0006483002237051321,
      0.0005634238026829906,
      0.00047986803966426373,
      0.000397612290735134,
      0.00031663641056385204,
      0.00023692045025820128,
      0.0001584448146979547,
      8.119030644649095e-05,
      5.137846728704107e-06,
      -6.973140869888115e-05,
      -0.00014343579974344928,
      -0.00021599343156174347,
      -0.0002874221626209667,
      -0.00035773949041382195,
      -0.00042696269662938376,
      -0.0004951088575320255,
      -0.0005621947076057259,
      -0.0006282367880298453,
      -0.0006932513459042054,
      -0.0007572542901750116,
      -0.0008202614385685729,
      -0.00088228821688424,
      -0.0009433498279003274,
      -0.0010034613555328282,
      -0.0010626376013429762,
      -0.0011208931044863122,
      -0.0011782421544714085,
      -0.001234698872433885,
      -0.0012902771586636474,
      -0.0013449906451884642,
      -0.0013988528384678604,
      -0.0014518770133663365,
      -0.001504076131707147,
      -0.0015554630775823752,
      -0.0016060504917709427,
      -0.0016558508339753002,
      -0.0017048763871830859,
      -0.0017531391406841238,
      -0.0018006509068808918,
      -0.0018474234696639,
      -0.0018934683633469852,
      -0.0019387968861664326,
      -0.001983420119246621,
      -0.002027349103679825,
      -0.002070594553029995,
      -0.002113167105536378,
      -0.0021550772065122123,
      -0.0021963351622758163,
      -0.0022369511168905025,
      -0.002276935168489327,
      -0.0023162971225345144,
      -0.002355046632155046,
      -0.0023931932614819503,
      -0.002430746294223453,
      -0.0024677150118495896,
      -0.0025041085389905047,
      -0.0025399358731224854,
      -0.0025752057353466457
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335051077260125,
      10.094672924093494,
      9.848525015246803,
      9.599297457072815,
      9.349343716082851,
      9.100705809483712,
      8.855085516280855,
      8.613831114198291,
      8.377938645941688,
      8.148068664319048,
      7.924578045825717,
      7.707560327665298,
      7.496892352063891,
      7.292284706277145,
      7.093330989377878,
      6.899552962422717,
      6.710437593328159,
      6.525469297993969,
      6.344155699777336,
      6.166044504296511,
      5.990736534416459,
      5.81788330594943,
      5.6472056690137,
      5.478506966493585,
      5.311667689265318,
      5.146646639917729,
      4.983477000041999,
      4.822260926837146,
      4.663170656283577,
      4.506470407020674,
      4.352494328313878,
      4.201602372307996,
      4.054176359833389,
      3.910608358329231,
      3.7712877850807143,
      3.6365772111311006,
      3.506799622729522,
      3.382230245831665,
      3.2630907573229937,
      3.1495459542402946,
      3.0417015639442684,
      2.9395922527202756,
      2.8431805075182917,
      2.7523492631365802,
      2.66692139076407,
      2.586676252711322,
      2.5113712550509164,
      2.4407511076353265,
      2.3745546536679374,
      2.312507776528376,
      2.254309541967614,
      2.199607329078616,
      2.1480265903445104,
      2.0992156383347784,
      2.0528428017532296,
      2.0086025923583684,
      1.9662385037721857,
      1.9255381115717152,
      1.8863245102078607,
      1.8484573235074981,
      1.811821568611457,
      1.7763163623502656,
      1.7418541567014503,
      1.7083639556902404,
      1.6757867775115198,
      1.644072456729441,
      1.6131774015855065,
      1.5830630153294647,
      1.5536945801014654,
      1.5250404598954472,
      1.4970715276306887,
      1.469759577019532,
      1.4430766965914126,
      1.4169979691503956,
      1.3915006681114022,
      1.3665645410562857,
      1.342171663589775,
      1.318306744390452,
      1.2949547141400577,
      1.2721018238081794,
      1.2497360635633705,
      1.2278449210883355,
      1.206415483343226,
      1.1854347467636734,
      1.1648898379911354,
      1.1447681501294875,
      1.1250582657926456,
      1.1057496481360827,
      1.0868321398120468,
      1.0682958656501822,
      1.0501308791808688,
      1.0323273242102575,
      1.0148755338083602,
      0.9977660888122504,
      0.9809898494228105,
      0.9645379713441544,
      0.9484019111174051,
      0.9325734237938392,
      0.9170445577484772,
      0.9018076447519584,
      0.886855291334336,
      0.8721803674922928,
      0.8577759961024961,
      0.8436355416088541,
      0.8297525998484978,
      0.8161209880244056,
      0.802734734941439,
      0.7895880712098263,
      0.7766754202790764,
      0.7639913906276274,
      0.7515307669092327,
      0.7392885024528787,
      0.7272597152028623,
      0.715439704763748,
      0.7038239257398918,
      0.6924079617455957,
      0.6811875237457654,
      0.6701584473272825,
      0.6593166891918117,
      0.648658323560517,
      0.6381797084399182,
      0.6278776595848751,
      0.617748921451821,
      0.6077901670229343,
      0.5979980942440192,
      0.5883694477296079,
      0.5789010318394576,
      0.5695897181261284,
      0.560432449480345,
      0.5514262410206593,
      0.5425681807942697,
      0.5338554285410783,
      0.5252852144837268,
      0.5168548372509276,
      0.508561662408342,
      0.5004031201152067,
      0.4923767030956288,
      0.48447996484032224,
      0.4767105175202043,
      0.46906603000894315,
      0.46154422615420737,
      0.4541430165723368,
      0.4468610002071795,
      0.43969680594078114,
      0.4326488088173855,
      0.42571523800628297,
      0.41889424498417493,
      0.4121839470111818,
      0.40558245448295077,
      0.39908788809106616,
      0.39269838924755474,
      0.38641212677150705,
      0.3802273974105599,
      0.37414276536742036,
      0.3681567511638815,
      0.36226780505699574,
      0.35647434485042,
      0.35077477946766433,
      0.34516752390076133,
      0.3396510082655328,
      0.3342236836631584,
      0.3288841052318391,
      0.32363093405269844,
      0.3184628064956843,
      0.31337834125074354,
      0.30837615540985436,
      0.3034548747607712,
      0.2986129658247285,
      0.2938488286577192,
      0.28916098738378687,
      0.2845480528492101,
      0.28000870045571163,
      0.275541464005076,
      0.2711447952105387,
      0.2668172905654454,
      0.2625576561739218,
      0.2583646767937094,
      0.2542371956187191,
      0.2501741007474362,
      0.24617461276331026,
      0.24223817265742337,
      0.23836407354337733,
      0.23455150588952872,
      0.23079959864919847,
      0.22710744640245753,
      0.2234741267971394,
      0.2198987120972702,
      0.2163802767926145,
      0.2129179026098824,
      0.20951068126414601,
      0.20615771632403865,
      0.20285812043584173,
      0.19961094064132012,
      0.19641520879327642,
      0.193270014143153,
      0.1901744882104688,
      0.18712779493439258,
      0.18412912443673018,
      0.1811776881589675,
      0.17827271622262836,
      0.17541345509391956,
      0.17259916635445013,
      0.16982912553595186,
      0.16710262155720676,
      0.1644189559024905,
      0.16177744231595298,
      0.1591774063553096,
      0.15661818504678626,
      0.1540991266399932,
      0.15161959051973212,
      0.1491789466840669,
      0.14677657554971438,
      0.1444118680278391,
      0.14208422521615963,
      0.13979305789061655,
      0.1375377866988932,
      0.1353178418924349,
      0.13313266316958033,
      0.13098169939380713,
      0.128864408320022,
      0.1267802567353164,
      0.12472872021397947,
      0.12270928280382809,
      0.12072143704405891,
      0.11876468369124404,
      0.11683853155397883,
      0.11494249748613947,
      0.11307610620872184,
      0.11123889016326488,
      0.1094303893329092,
      0.10765015103681949,
      0.10589772999674603,
      0.10417268816710668,
      0.10247459446782324,
      0.1008030248776631,
      0.09915756218875282,
      0.09753779580271052,
      0.09594332175267842,
      0.09437374246800063,
      0.09282866678339172,
      0.0913077098171385,
      0.089810492820236,
      0.08833664307191123,
      0.08688579393617021,
      0.08545758450688941,
      0.08405165971193299,
      0.08266767004636226,
      0.0813052715415934,
      0.07996412588773294,
      0.0786439000701705,
      0.07734426633375413,
      0.076064902085984,
      0.07480548987261128,
      0.07356571709837324,
      0.07234527643317869,
      0.07114386528915113,
      0.0699611858846908,
      0.06879694508697211,
      0.06765085449114985,
      0.06652263023330035,
      0.0654119928331182,
      0.06431866729428995,
      0.06324238298246714,
      0.062182873459287503,
      0.06113987657344053,
      0.06011313430344011,
      0.05910239260622351,
      0.05810740153524331,
      0.0571279149884045,
      0.05616369085866045,
      0.055214490795672755,
      0.0542800800479286,
      0.05336022771309633,
      0.052454706522252634,
      0.051563292714274005,
      0.05068576608853278,
      0.0498219098933122,
      0.04897151079031702,
      0.048134358768824576,
      0.047310247120033434,
      0.04649897230288745,
      0.04570033400976715,
      0.04491413512007947,
      0.044140181729969,
      0.04337828274550349,
      0.042628250145083056,
      0.04188989883678125,
      0.04116304662851155,
      0.04044751425412029,
      0.03974312524183118,
      0.03904970580290346,
      0.038367084918497774,
      0.037695094223543675,
      0.03703356797114532,
      0.036382343089724295,
      0.03574125902436339,
      0.0351101576293446,
      0.03448888325427873,
      0.03387728279546717,
      0.03327520553428099,
      0.032682503032532735,
      0.032099029227297876,
      0.03152464031909308,
      0.030959194667976076,
      0.030402552895953904,
      0.02985457791499766,
      0.029315134671510715,
      0.02878409026101903,
      0.028261313834999916,
      0.027746676515855318,
      0.027240051516405267,
      0.026741314095877333,
      0.02625034128205544,
      0.025767012160266757,
      0.025291207654711698,
      0.024822810527203115,
      0.02436170538292299,
      0.02390777870859418,
      0.02346091873375982,
      0.02302101545773797,
      0.022587960397217187,
      0.022161646912224265,
      0.02174197015602918,
      0.021328826696538294,
      0.020922114720327085,
      0.02052173406975518,
      0.02012758614965398,
      0.019739573884786286,
      0.019357601784873953,
      0.018981575761437667,
      0.01861140321713649,
      0.01824699304558417,
      0.017888255554454866,
      0.017535102368320413,
      0.017187446508622736,
      0.01684520242185308,
      0.016508285866865986,
      0.01617661380719842,
      0.015850104588335134,
      0.01552867792298128,
      0.015212254627055173,
      0.01490075684393709,
      0.014594107853448285,
      0.01429223204473468,
      0.013995055173274004,
      0.01370250413323226,
      0.013414506931785933,
      0.01313099257850027,
      0.012851891366781002,
      0.012577134613041404,
      0.01230665462934405,
      0.01204038484579558,
      0.011778259797587187,
      0.01152021486192371,
      0.011266186589766455,
      0.011016112431374472,
      0.010769930758342414,
      0.010527580971568942,
      0.010289003498888956,
      0.010054139478737891,
      0.009822931165344412,
      0.00959532168311927,
      0.009371255026171695,
      0.0091506760229596,
      0.008933530450682648,
      0.008719764822551981,
      0.008509326457788442,
      0.00830216359940125,
      0.008098225236406728,
      0.007897461240906484,
      0.007699822171361735,
      0.007505259403098983,
      0.007313725032756492,
      0.0071251719448275404,
      0.006939553671314747,
      0.006756824540196581,
      0.0065769396678124845,
      0.006399854687326514,
      0.006225526045455801,
      0.006053910850523158,
      0.005884966831473591,
      0.005718652407163289,
      0.005554926669460625,
      0.005393749324732917,
      0.005235080694380528,
      0.005078881712048667,
      0.004925113897430122,
      0.004773739434211889,
      0.00462472111066638,
      0.004478022186311477,
      0.004333606699449566,
      0.004191439128830383,
      0.004051484413185664,
      0.0039137080551796865,
      0.0037780761261773594,
      0.003644555400176955,
      0.003513112930711067,
      0.0033837163476963298,
      0.0032563337368483433,
      0.0031309338705547097,
      0.0030074858181732985,
      0.0028859592130944366,
      0.002766324081811758,
      0.0026485510764361684,
      0.002532611206685667,
      0.0024184759935510663,
      0.002306117306441767,
      0.002195507469184824,
      0.0020866191448897487,
      0.001979425591183462,
      0.0018739004917267762,
      0.0017700179164927177,
      0.0016677523153619887,
      0.0015670785387091586,
      0.0014679717450675313,
      0.0013704074943550956,
      0.0012743617791638236,
      0.0011798110514557013,
      0.0010867319900513856,
      0.0009951016574023547,
      0.000904897421973545,
      0.0008160971876641797,
      0.000728679166942217,
      0.0006426218653663017,
      0.0005579040481115428,
      0.00047450479660281203,
      0.0003924037061530099,
      0.0003115804560186645,
      0.00023201518777818376,
      0.00015368837000780372,
      7.658058158328364e-05,
      6.730080690519355e-07,
      -7.405306480337728e-05,
      -0.00014761610192262804,
      -0.0002200341176917074,
      -0.0002913249949721964,
      -0.00036150617992295836,
      -0.0004305949349528059,
      -0.0004986083491963855,
      -0.0005655631957887811,
      -0.000631475844987136,
      -0.0006963626019683671,
      -0.0007602394273833352,
      -0.0008231219999648429,
      -0.0008850258670739088,
      -0.0009459661496472367,
      -0.001005957925993484,
      -0.0010650159600937147,
      -0.0011231547087705537,
      -0.0011803885883515334,
      -0.001236731700377533,
      -0.0012921977915963145,
      -0.001346800575294278,
      -0.0014005533840950413,
      -0.0014534695022858772,
      -0.0015055620272981514,
      -0.0015568437109753617,
      -0.0016073272070201525,
      -0.0016570249806271834,
      -0.0017059492492673013,
      -0.0017541121007222903,
      -0.001801525196904672,
      -0.0018482002778492177,
      -0.0018941488387029172,
      -0.0019393821365815821,
      -0.001983911432228721,
      -0.0020277477095583317,
      -0.0020709017507590743,
      -0.0021133841086441603,
      -0.002155205205238685,
      -0.0021963753473141483,
      -0.0022369046713764692,
      -0.002276803132588216,
      -0.0023160806457290474,
      -0.002354746850401109,
      -0.002392811155366913,
      -0.0024302830239788264,
      -0.0024671716483430813,
      -0.002503486118602652,
      -0.002539235376279475,
      -0.0025744281731661556
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335047584109754,
      10.094660373584652,
      9.848497286728152,
      9.59925016119101,
      9.349273787471471,
      9.100611240078997,
      8.854965111739393,
      8.613684283127563,
      8.37776521495366,
      8.147868757601415,
      7.924352064099302,
      7.707308731855215,
      7.496615573334235,
      7.291983120505595,
      7.093004888038234,
      6.899202585381711,
      6.710063167526115,
      6.525071073808372,
      6.3437340155629816,
      6.165599841683309,
      5.990269553663413,
      5.817394936307035,
      5.646697050640041,
      5.477979464053495,
      5.3111229208115605,
      5.146086513067359,
      4.982903563194932,
      4.821676436720303,
      4.662577795347567,
      4.505872554707591,
      4.351895014323233,
      4.201005142125061,
      4.053584712290295,
      3.9100258149575167,
      3.7707177263334017,
      3.6360227253689756,
      3.5062634556579697,
      3.381714762287283,
      3.262597916389744,
      3.1490772975758548,
      3.041258146580954,
      2.939174593899915,
      2.842788633332724,
      2.751982600080518,
      2.66657876744612,
      2.586355923839384,
      2.5110713368334387,
      2.4404697001665734,
      2.374289662956193,
      2.312257026605709,
      2.2540709435579678,
      2.199378375754626,
      2.147804812443163,
      2.0989987965884738,
      2.052628945312681,
      2.0083898750294193,
      1.9660255025238673,
      1.9253237685582927,
      1.8861080624976279,
      1.8482382303919351,
      1.8115994364067474,
      1.7760908731682261,
      1.7416251021112088,
      1.7081312161532616,
      1.6755502958512376,
      1.64383221897985,
      1.6129334242416011,
      1.5828153358199704,
      1.553443250091643,
      1.524785540766897,
      1.4968130867178069,
      1.4694977135453746,
      1.442811535105533,
      1.4167296266791258,
      1.3912292547237015,
      1.366290167953177,
      1.341894574744335,
      1.3180271867386255,
      1.29467287307098,
      1.271818043725314,
      1.2494506663582707,
      1.2275581224089827,
      1.2061274409016016,
      1.185145579665109,
      1.1645996395283331,
      1.1444769968432498,
      1.124766243610631,
      1.1054568421090447,
      1.0865386289506294,
      1.068001715870194,
      1.0498361474742186,
      1.0320320616291196,
      1.0145797871646993,
      0.9974699017037736,
      0.9806932632990684,
      0.964241026258096,
      0.9481046459584694,
      0.9322758768689886,
      0.9167467662867084,
      0.9015096456213049,
      0.8865571205804013,
      0.871882060682286,
      0.8574775878465993,
      0.8433370664459777,
      0.8294540921074577,
      0.8158224813716206,
      0.802436262276339,
      0.7892896651104621,
      0.7763771129310356,
      0.7636932135161058,
      0.7512327511379772,
      0.7389906787748957,
      0.7269621196131377,
      0.7151423804933785,
      0.7035269103770184,
      0.6921112889403154,
      0.6808912243358841,
      0.6698625506023672,
      0.6590212232048129,
      0.648363315353189,
      0.6378852937550229,
      0.6275839781071575,
      0.6174560680897175,
      0.6074982088432872,
      0.597707080192907,
      0.5880794145768696,
      0.5786120085523896,
      0.5693017284062566,
      0.5601455132080606,
      0.5511403758598841,
      0.5422834026892871,
      0.5335717521763087,
      0.5250026536314389,
      0.5165734052632699,
      0.5082813718362783,
      0.5001239828539341,
      0.4920987307004293,
      0.48420316837785315,
      0.4764349075657358,
      0.46879161686561527,
      0.4612710198632759,
      0.4538710729988091,
      0.4465904377770513,
      0.4394277007918103,
      0.43238121000153246,
      0.425449177262742,
      0.4186297430388074,
      0.411921017212731,
      0.4053211055441264,
      0.3988281254607862,
      0.39244021618747277,
      0.38615554506486505,
      0.3799724333767003,
      0.3738894457605702,
      0.3679050919537934,
      0.3620178152741094,
      0.35622602890155797,
      0.3505281386682477,
      0.3449225576365687,
      0.339407714711651,
      0.3339820600121457,
      0.3286441592626084,
      0.3233926735226655,
      0.3182262343991727,
      0.3131434571859083,
      0.30814295698147,
      0.3032233582737375,
      0.2983831293230665,
      0.29362067103774175,
      0.28893450571362783,
      0.28432324306404577,
      0.27978555754976664,
      0.2753200729459879,
      0.2709252468029883,
      0.26659964088803945,
      0.26234193827471614,
      0.25815090878713903,
      0.25402538569717203,
      0.24996425042357914,
      0.24596673547902648,
      0.24203227988003254,
      0.23816016850456437,
      0.2343495863836609,
      0.23059965875393734,
      0.2269094777259499,
      0.22327811934502556,
      0.219704654903953,
      0.21618815815263315,
      0.21272771039455107,
      0.20932240295507631,
      0.20597133909522927,
      0.20267362918620696,
      0.1994283172611059,
      0.19623443701829624,
      0.19309107889239108,
      0.1899973751818826,
      0.1869524904576042,
      0.18395561500864022,
      0.18100596062848917,
      0.17810275755570193,
      0.1752452524056157,
      0.1724327068260415,
      0.1696643964972761,
      0.16693961019955916,
      0.1642576494931542,
      0.16161782822125093,
      0.15901947183458953,
      0.15646191734430231,
      0.1539445131460794,
      0.15146661847418097,
      0.1490276033741129,
      0.14662684841889026,
      0.14426374445430987,
      0.14193769246188628,
      0.139648103412195,
      0.13739439803885747,
      0.13517600652602876,
      0.13299236854813498,
      0.1308429329619017,
      0.1287271576405487,
      0.12664450957018505,
      0.12459446420427903,
      0.12257650560756324,
      0.12059012628885066,
      0.11863482701569025,
      0.11671011677605275,
      0.11481551238390142,
      0.1129505386442069,
      0.11111472804114336,
      0.10930762060331312,
      0.10752876375545403,
      0.10577771227711735,
      0.10405402808172741,
      0.10235728014010678,
      0.10068704444655618,
      0.09904290372842753,
      0.09742444750922652,
      0.09583127186356996,
      0.0942629793602997,
      0.09271917892543924,
      0.09119948569529188,
      0.08970352103700392,
      0.0882309123365382,
      0.08678129294733347,
      0.08535430197499834,
      0.08394958439106982,
      0.08256679078200911,
      0.08120557731867291,
      0.0798656055641663,
      0.07854654252353212,
      0.07724806048980601,
      0.0759698370461113,
      0.07471155483826569,
      0.0734729014868175,
      0.07225356959935932,
      0.07105325658783594,
      0.06987166468757053,
      0.06870850102280268,
      0.06756347720614365,
      0.06643630938421563,
      0.0653267181244569,
      0.06423442839162885,
      0.06315916966106994,
      0.062100675689447805,
      0.06105868438371671,
      0.060032937746001484,
      0.05902318185914435,
      0.058029166699466964,
      0.05705064639363514,
      0.05608737890560442,
      0.05513912582079849,
      0.05420565248053255,
      0.05328672814051592,
      0.0523821256313778,
      0.05149162132586835,
      0.050614994896341456,
      0.049752029653989574,
      0.048902512348368496,
      0.048066233002335916,
      0.047242985004103885,
      0.04643256503705322,
      0.04563477292687841,
      0.04484941147793996,
      0.04407628670946772,
      0.04331520773143036,
      0.0425659865240874,
      0.04182843810417806,
      0.04110238033945649,
      0.04038763402583152,
      0.03968402273067177,
      0.038991372789856725,
      0.03830951317221996,
      0.03763827566254713,
      0.036977494591021814,
      0.03632700705302336,
      0.035686652410541204,
      0.035056272671272065,
      0.03443571231761625,
      0.03382481818682114,
      0.03322343959201813,
      0.03263142816063379,
      0.032048637897684334,
      0.03147492515664662,
      0.030910148275682132,
      0.030354167997784117,
      0.029806847270414695,
      0.029268051091555804,
      0.02873764663760774,
      0.028215503208812682,
      0.02770149187078054,
      0.02719548593683196,
      0.026697360752440513,
      0.026206993436709233,
      0.025724263069987804,
      0.02524905079337548,
      0.02478123943914746,
      0.024320713524068546,
      0.023867359554656672,
      0.023421065869132247,
      0.022981722391421974,
      0.022549220810950083,
      0.022123454578544956,
      0.021704318794732017,
      0.021291710237832714,
      0.020885527182510164,
      0.02048566951046605,
      0.020092038718941205,
      0.019704537770376212,
      0.019323071189428703,
      0.018947544892532055,
      0.018577866385602215,
      0.018213944573130247,
      0.017855689751463732,
      0.017503013689717715,
      0.017155829513104535,
      0.016814051699474947,
      0.016477595954355315,
      0.016146379452918618,
      0.015820320674480724,
      0.0154993391654853,
      0.015183355955872047,
      0.014872293115653412,
      0.014566073945907759,
      0.014264623040454573,
      0.01396786616834754,
      0.01367573024361252,
      0.01338814333769314,
      0.01310503455012912,
      0.012826334156706089,
      0.012551973424989519,
      0.012281884802712821,
      0.012016001754877685,
      0.011754258757017933,
      0.011496591419997433,
      0.01124293629463224,
      0.010993230831972721,
      0.01074741351331741,
      0.010505423821154174,
      0.010267202152771679,
      0.010032689783770008,
      0.009801829038341205,
      0.009574563018371762,
      0.009350835698472332,
      0.009130591979734953,
      0.008913777657768665,
      0.008700339413734721,
      0.008490224598921988,
      0.008283381371377133,
      0.0080797589253038,
      0.00787930710707534,
      0.007681976409296582,
      0.007487718221836699,
      0.0072964847747372255,
      0.007108229039663024,
      0.006922904583675678,
      0.006740465704930199,
      0.006560867456971091,
      0.006384065599531382,
      0.006210016672973482,
      0.006038677891292992,
      0.0058700069425706505,
      0.005703962318973451,
      0.005540503102975424,
      0.005379589023000772,
      0.005221180429035129,
      0.0050652383340797505,
      0.004911724337596323,
      0.0047606005764269784,
      0.00461182993254838,
      0.0044653756009444745,
      0.004321201632362596,
      0.004179272505809444,
      0.004039553339185427,
      0.003902009631203066,
      0.0037666074314742057,
      0.003633313595309851,
      0.0035020952780845673,
      0.0033729200738375703,
      0.0032457561613341078,
      0.003120572268295706,
      0.0029973375485706304,
      0.002876021613875724,
      0.0027565946306943342,
      0.0026390272030307692,
      0.0025232903780981896,
      0.002409355564402778,
      0.002297194775690028,
      0.0021867803428756616,
      0.0020780852192497207,
      0.001971082549491507,
      0.001865745933330986,
      0.001762049442807219,
      0.001659967533278434,
      0.0015594750574472519,
      0.001460547332211175,
      0.0013631599843593083,
      0.0012672889567781312,
      0.0011729106111796979,
      0.001080001826150894,
      0.0009885397664349139,
      0.0008985018185747072,
      0.0008098657122675196,
      0.0007226097447496825,
      0.0006367123326178273,
      0.0005521523026293113,
      0.0004689089931254678,
      0.0003869618737520425,
      0.0003062906749077596,
      0.0002268755626001515,
      0.00014869690144235688,
      7.173545127965841e-05,
      -4.027555793645503e-06,
      -7.861092167316022e-05,
      -0.00015203307253005985,
      -0.0002243119849740811,
      -0.0002954654919381505,
      -0.00036551117454278084,
      -0.00043446616393770016,
      -0.0005023474439307014,
      -0.0005691717967812608,
      -0.0006349556402679658,
      -0.0006997152446244065,
      -0.0007634665292377554,
      -0.000826225233350444,
      -0.0008880067933970077,
      -0.0009488264036314819,
      -0.0010086988974917057,
      -0.0010676390987151509,
      -0.0011256615548711137,
      -0.001182780607275334,
      -0.001239010326611743,
      -0.0012943645360980027,
      -0.001348856910483229,
      -0.0014025007623470916,
      -0.0014553093553822138,
      -0.0015072956638334492,
      -0.0015584725441661284,
      -0.001608852594873552,
      -0.001658448231253018,
      -0.0017072716069226434,
      -0.0017553347697940832,
      -0.0018026494674900436,
      -0.0018492274480845698,
      -0.0018950802515696969,
      -0.0019402191917790444,
      -0.001984655279712409,
      -0.002028399502504454,
      -0.002071462624432956,
      -0.0021138553183916993,
      -0.0021555879915292953,
      -0.002196670864270382,
      -0.002237114067627393,
      -0.002276927511323256,
      -0.002316121094388935,
      -0.0023547044004936634,
      -0.002392686939182967,
      -0.002430078119653219,
      -0.002466887033181253,
      -0.0025031227368303164,
      -0.002538794250994268,
      -0.002573910391097073
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335044106824991,
      10.094647871954981,
      9.848469648897918,
      9.599203002250105,
      9.349204046307126,
      9.100516912042417,
      8.854845004661833,
      8.61353780530012,
      8.377592192363961,
      8.14766934950345,
      7.924126693972317,
      7.707057848572945,
      7.4963395992832815,
      7.2916824229326895,
      7.092679754585249,
      6.898853252001912,
      6.70968985809275,
      6.524674035815071,
      6.343313584248667,
      6.165156496257697,
      5.989803953850682,
      5.816908009502663,
      5.6461899346314235,
      5.47745352033863,
      5.310579764059486,
      5.145528047622793,
      4.982331834584951,
      4.821093697062176,
      4.661986722956088,
      4.505276523125807,
      4.351297547557171,
      4.200409778825241,
      4.052994944246525,
      3.90944515407285,
      3.7701495435977246,
      3.6354700994773874,
      3.5057291239341906,
      3.381201082237471,
      3.262106840586762,
      3.148610361335887,
      3.040816399524979,
      2.9387585506135716,
      2.842398315703676,
      2.7516174216847933,
      2.6662375577621242,
      2.586036940010775,
      2.5107726979500233,
      2.4401895108070266,
      2.3740258338189726,
      2.3120073865644946,
      2.2538334082605695,
      2.1991504407727787,
      2.147584017031451,
      2.0987829095118573,
      2.0524160235023126,
      2.008178078810913,
      1.9658134127684956,
      1.9251103304313384,
      1.8858925156331643,
      1.8480200361676373,
      1.811378202789095,
      1.7758662826647562,
      1.7413969467507244,
      1.707899376358061,
      1.675314714616159,
      1.6435928830233526,
      1.612690350338195,
      1.5825685616775853,
      1.5531928272454512,
      1.5245315299045366,
      1.4965555547275466,
      1.4692367596024443,
      1.442547284463818,
      1.416462196446546,
      1.390958755138497,
      1.3660167101662968,
      1.3416184032208534,
      1.3177485481249338,
      1.2943919521921112,
      1.2715351844494178,
      1.2491661966804684,
      1.2272722598926233,
      1.20584033976648,
      1.1848573569279166,
      1.164310387640001,
      1.1441867915765962,
      1.1244751697896618,
      1.1051649840031748,
      1.0862460654138433,
      1.0677085126739232,
      1.0495423611706667,
      1.0317377428383476,
      1.014284982322124,
      0.9971746539314106,
      0.9803976138247236,
      0.963945015164327,
      0.9478083122109856,
      0.9319792582855551,
      0.9164499002093784,
      0.901212568562886,
      0.886259868625914,
      0.8715846693226409,
      0.8571800923123816,
      0.8430395010673206,
      0.8291564908342484,
      0.8155248778787456,
      0.8021386897049868,
      0.7889921559028878,
      0.7760796992411382,
      0.7633959271288123,
      0.7509356231263651,
      0.7386937394285245,
      0.7266654102117125,
      0.7148459423106838,
      0.7032307796607069,
      0.691815498635851,
      0.6805958054893848,
      0.6695675321742959,
      0.6587266326088063,
      0.6480691962770495,
      0.6375917900385435,
      0.627291220556707,
      0.6171641460071138,
      0.6072071857985174,
      0.597417002409875,
      0.5877903171995746,
      0.5783239191222692,
      0.5690146696482213,
      0.5598595046491615,
      0.5508554348977628,
      0.5419995450366087,
      0.5332889925737916,
      0.5247210059149842,
      0.516292882295408,
      0.5080019861408988,
      0.4998457465572769,
      0.4918216552366376,
      0.4839272648226501,
      0.4761601866329616,
      0.46851808879596996,
      0.46099869450987024,
      0.45360002675762867,
      0.44632078068356,
      0.43915950369571094,
      0.4321145189038301,
      0.42518402198347327,
      0.41836614277133327,
      0.4116589845360443,
      0.40506064834635575,
      0.3985692486643378,
      0.39218292300136903,
      0.38589983726016713,
      0.37971833737686717,
      0.3736369882098648,
      0.36765428870028244,
      0.3617686752904518,
      0.3559785565489969,
      0.35028233534324377,
      0.3446784227159324,
      0.3391652463222056,
      0.33374125534722,
      0.32840502597232535,
      0.3231552193346784,
      0.3179904620964498,
      0.312909366507169,
      0.3079105454515429,
      0.3029926221127031,
      0.29815406743889256,
      0.2933932820299833,
      0.288708786592072,
      0.28409918972653136,
      0.27956316501214645,
      0.2750993969581649,
      0.2707063888804608,
      0.26638266368970226,
      0.2621268792794025,
      0.25793778881414176,
      0.25381421458929737,
      0.2497550324703981,
      0.2457594856712835,
      0.2418270094632919,
      0.23795688061303438,
      0.23414827863434898,
      0.23040032524648474,
      0.22671211003476796,
      0.22308270750128478,
      0.21951118793716623,
      0.21599662433488148,
      0.21253809740399127,
      0.20913469821444813,
      0.20578552999329996,
      0.20248970064003202,
      0.19924625107155,
      0.19605421681319654,
      0.19291268955233523,
      0.1898208024232215,
      0.18677772055761666,
      0.18378263464662306,
      0.18083475658747225,
      0.17793331681786734,
      0.17507756206971387,
      0.17226675409468886,
      0.16950016858085698,
      0.16677709439775504,
      0.164096833148951,
      0.16145869837519955,
      0.15886201572357647,
      0.15630612237876582,
      0.1537903666455675,
      0.15131410784720506,
      0.14887671605004388,
      0.14647757181083565,
      0.144116066049001,
      0.1417915996927327,
      0.13950358376089664,
      0.13725143899672101,
      0.13503459562515766,
      0.13285249336637991,
      0.1307045810772782,
      0.1285903166357679,
      0.1265091668971146,
      0.12446060742930741,
      0.12244412242127439,
      0.12045920447168457,
      0.11850535442915096,
      0.11658208118186408,
      0.11468890163815916,
      0.11282534067518887,
      0.11099093071257804,
      0.10918521179344506,
      0.107407731410596,
      0.10565804438886711,
      0.10393571278484803,
      0.10224030572182038,
      0.1005713990317942,
      0.09892857570232493,
      0.09731142519577364,
      0.09571954360527495,
      0.09415253350148677,
      0.09261000389132303,
      0.09109157000750208,
      0.08959685325937315,
      0.08812548114818936,
      0.0866770869804773,
      0.08525130997070204,
      0.08384779515486494,
      0.08246619307605857,
      0.08110615999859781,
      0.07976735766513929,
      0.07844945313693351,
      0.07715211872924296,
      0.07587503209927576,
      0.07461787585678445,
      0.07338033773330441,
      0.07216211045835527,
      0.07096289152584365,
      0.06978238325206067,
      0.06862029271056629,
      0.06747633159560881,
      0.06635021608336086,
      0.06524166697653411,
      0.06415040938269327,
      0.06307617266278363,
      0.06201869061789497,
      0.06097770118329098,
      0.05995294646898143,
      0.05894417258642454,
      0.057951129693618125,
      0.05697357192827705,
      0.05601125726012944,
      0.05506394739571743,
      0.054131407894501465,
      0.053213408044841724,
      0.052309720531269185,
      0.05142012185241312,
      0.050544391881905126,
      0.049682313982526004,
      0.04883367493622232,
      0.04799826486833646,
      0.04717587720944631,
      0.04636630865102717,
      0.04556935903683587,
      0.044784831291742634,
      0.04401253155963932,
      0.043252268984339114,
      0.04250385569631522,
      0.041767106759510904,
      0.04104184011372098,
      0.040327876654997076,
      0.0396250398881968,
      0.03893315619124215,
      0.03825205482600888,
      0.03758156752124349,
      0.03692152866956144,
      0.03627177522893695,
      0.03563214690470492,
      0.03500248561354502,
      0.03438263596762461,
      0.03377244497373574,
      0.03317176192623267,
      0.03258043856323591,
      0.03199832890136537,
      0.03142528936560382,
      0.030861178457725222,
      0.03030585692906406,
      0.029759187649816173,
      0.0292210358113892,
      0.028691268539513794,
      0.028169755214875202,
      0.027656367140489878,
      0.02715097766863841,
      0.02665346203624919,
      0.026163697500580424,
      0.02568156328541096,
      0.02520694046484589,
      0.024739711956337833,
      0.02427976243133162,
      0.023826978481207003,
      0.02338124852322728,
      0.022942462510363984,
      0.022510512232093383,
      0.022085291113427722,
      0.021666694230177724,
      0.021254618483529473,
      0.020848962170829818,
      0.020449625287223674,
      0.020056509292794667,
      0.019669517248525788,
      0.01928855383086087,
      0.018913525034642848,
      0.01854433836472992,
      0.018180902708946147,
      0.017823128534412053,
      0.01747092758775944,
      0.017124213147294925,
      0.01678289966396561,
      0.01644690299232247,
      0.016116140257853927,
      0.01579052993927977,
      0.01546999168267491,
      0.015154446495340658,
      0.014843816582313814,
      0.014538025404244526,
      0.014236997536079097,
      0.013940658804075424,
      0.013648936109454803,
      0.013361757523349728,
      0.013079052303827977,
      0.012800750739192185,
      0.012526784262936928,
      0.012257085273556395,
      0.011991587365870767,
      0.011730225019433275,
      0.011472933729810881,
      0.01121965016260392,
      0.010970311962197258,
      0.010724857577178433,
      0.010483226572414734,
      0.010245359372793628,
      0.010011197283880257,
      0.009780682573519453,
      0.009553758429681309,
      0.009330368979471575,
      0.009110459120673717,
      0.008893974655438472,
      0.008680862230312994,
      0.008471069254158739,
      0.008264544022511863,
      0.008061235711945001,
      0.007861094212399004,
      0.0076640701979544985,
      0.007470115002813732,
      0.007279180964978011,
      0.007091220971983624,
      0.006906188715023159,
      0.006724038500590569,
      0.006544725434023765,
      0.006368205395894077,
      0.0061944349260302685,
      0.00602337112942911,
      0.005854971819502024,
      0.005689195498835237,
      0.0055260013234892545,
      0.0053653490255845095,
      0.005207199085774201,
      0.005051512533871572,
      0.004898250954739771,
      0.004747376610934225,
      0.00459885241589345,
      0.004452641679787825,
      0.0043087082264911545,
      0.004167016665056704,
      0.0040275321489503775,
      0.0038902202393339153,
      0.0037550470689746407,
      0.003621979336255575,
      0.0034909842956122564,
      0.0033620296033779447,
      0.0032350835470242385,
      0.003110114780809143,
      0.002987092514433902,
      0.0028659863540133387,
      0.0027467665898258794,
      0.00262940386974339,
      0.0025138691668194677,
      0.0024001339133110297,
      0.002288170289459591,
      0.0021779505669783793,
      0.0020694476047048577,
      0.001962634754731718,
      0.0018574855732104935,
      0.0017539741174496788,
      0.0016520749394603746,
      0.0015517629414775675,
      0.001453013417378151,
      0.0013558020383944835,
      0.0012601047957603055,
      0.0011658981227916409,
      0.0010731587960203914,
      0.0009818639139147183,
      0.0008919910678658496,
      0.0008035180250803796,
      0.0007164230421989359,
      0.0006306847543721606,
      0.000546281983403593,
      0.0004631938071752034,
      0.0003813997891857316,
      0.0003008798156099502,
      0.00022161404820251167,
      0.00014358294810296951,
      6.676729470331459e-05,
      -8.851909036180504e-06,
      -8.329330121023776e-05,
      -0.00015657522133413992,
      -0.00022871568066077952,
      -0.0002997325410718291,
      -0.00036964331794632087,
      -0.00043846515339318105,
      -0.0005062149856270525,
      -0.0005729095325781291,
      -0.000638565211163303,
      -0.0007031982782617073,
      -0.0007668245825919049,
      -0.0008294599516996679,
      -0.0008911198085045169,
      -0.0009518192256140845,
      -0.0010115732263162674,
      -0.0010703964742173307,
      -0.0011283035540630164,
      -0.0011853087168361308,
      -0.0012414260058314695,
      -0.0012966691527216336,
      -0.0013510517650677683,
      -0.0014045872525806835,
      -0.0014572889052057553,
      -0.001509169557108674,
      -0.0015602421780865408,
      -0.0016105192943624057,
      -0.0016600134196652178,
      -0.0017087366079982897,
      -0.00175670085742396,
      -0.0018039180616297504,
      -0.00185039986575093,
      -0.0018961576549981094,
      -0.001941202720004935,
      -0.001985546180363102,
      -0.002029198920243302,
      -0.0020721715927765265,
      -0.002114474992935524,
      -0.0021561194508087113,
      -0.002197115260376074,
      -0.0022374725032903294,
      -0.002277201209837999,
      -0.0023163110608514616,
      -0.0023548117884736853,
      -0.0023927127878467344,
      -0.0024300234662107314,
      -0.0024667529358230506,
      -0.002502910291757082,
      -0.0025385045267212352,
      -0.002573544394449351
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335040645100216,
      10.09463541432385,
      9.848442095291452,
      9.599155977442438,
      9.349134494572906,
      9.100422830954106,
      8.854725202246636,
      8.6133916912614,
      8.37741959292782,
      8.147470424833386,
      7.923901869656481,
      7.706807576197351,
      7.496064301933863,
      7.291382470953775,
      7.092355436652624,
      6.898504805570707,
      6.7093175092451,
      6.5242780329061985,
      6.34289426259288,
      6.164714335699401,
      5.989339612502928,
      5.816422413822115,
      5.645684222948034,
      5.476929054891798,
      5.310038158706341,
      5.144971186762317,
      4.981761746212591,
      4.8205126349124106,
      4.661397364319008,
      4.504682236461793,
      4.350701852142789,
      4.19981620727996,
      4.052406980534348,
      3.9088663033841535,
      3.7695831687728614,
      3.634919270261431,
      3.5051965689708875,
      3.380689150184358,
      3.261617475578115,
      3.148145091945729,
      3.040376270070212,
      2.9383440706185366,
      2.842009504173207,
      2.7512536433859394,
      2.665897651022411,
      2.5857191715089196,
      2.510475195786065,
      2.439910387192623,
      2.373763025494048,
      2.3117587273814753,
      2.253596819719938,
      2.198923412279185,
      2.1473640957068856,
      2.0985678726423007,
      2.052203935117414,
      2.0079671049761134,
      1.9656021393637353,
      1.9248977056762662,
      1.8856777811165282,
      1.8478026547763762,
      1.8111577843365976,
      1.7756425113042773,
      1.7411696152400145,
      1.7076683654888145,
      1.6750799674932852,
      1.6433543861131525,
      1.6124481198505198,
      1.5823226348490915,
      1.552943255537382,
      1.5242783741231793,
      1.4962988821219239,
      1.4689766697460713,
      1.4422839023841678,
      1.416195639314743,
      1.3906891329342668,
      1.3657441336626477,
      1.341343116841897,
      1.3174707991173122,
      1.294111926469389,
      1.2712532262368774,
      1.2488826336483563,
      1.2269873099712327,
      1.2055541555372828,
      1.1845700543558362,
      1.1640220579955687,
      1.1438975173063808,
      1.1241850394231327,
      1.1048740772082033,
      1.0859544584550624,
      1.0674162694683813,
      1.0492495372997241,
      1.0314443880683881,
      1.0139911426033819,
      0.9968803725717541,
      0.9801029320942136,
      0.9636499726864114,
      0.947512947701112,
      0.9316836096195518,
      0.9161540041278364,
      0.9009164615364998,
      0.8859635865427125,
      0.8712882476759409,
      0.8568835659740401,
      0.8427429044589426,
      0.8288598575308087,
      0.8152282411695835,
      0.8018420825873883,
      0.7886956107619718,
      0.775783247954395,
      0.7630996010344591,
      0.7506394529324675,
      0.7383977589029834,
      0.7263696617088189,
      0.7145504653190826,
      0.7029356092869917,
      0.6915206672226335,
      0.6803013428961191,
      0.6692734667566386,
      0.6584329916783005,
      0.6477760639240376,
      0.637299328479474,
      0.626999539442507,
      0.6168733202861985,
      0.6069172695109711,
      0.597128036102204,
      0.5875023322130835,
      0.5780369408033702,
      0.5687287192865047,
      0.5595746008879047,
      0.5505715944419901,
      0.5417167833232327,
      0.533007324024912,
      0.5244404438250566,
      0.516013439599786,
      0.5077236752103274,
      0.4995685792396528,
      0.4915456430438053,
      0.48365241880587617,
      0.475886517429707,
      0.4682456066953925,
      0.4607274095633669,
      0.45333003701456337,
      0.4460521874613628,
      0.4388923725847621,
      0.43184889247526703,
      0.4249199278592734,
      0.4181035987890939,
      0.41139800217019196,
      0.40480123513650235,
      0.39831140940417215,
      0.3919266604049682,
      0.3856451531000211,
      0.37946525796314307,
      0.37338554000879515,
      0.3674044874691944,
      0.361520529818944,
      0.3557320713801677,
      0.3500375120005202,
      0.34443526076299047,
      0.338923743776456,
      0.33350141157723295,
      0.3281668497266912,
      0.32291871711848064,
      0.3177556361846355,
      0.31267621623200653,
      0.30767906822251384,
      0.30276281389191917,
      0.2979259271018455,
      0.2931668081901931,
      0.2884839761417261,
      0.283876038402475,
      0.2793416679940866,
      0.2748795882701569,
      0.270488371689986,
      0.2661665078935618,
      0.2619126270720179,
      0.2577254641664595,
      0.253603829490454,
      0.24954659958164527,
      0.2455530241351718,
      0.24162252746928348,
      0.2377543790835841,
      0.23394775374711202,
      0.23020177008463552,
      0.22651551571564954,
      0.22288806364713296,
      0.2193184832280641,
      0.2158058470440141,
      0.21234923512836962,
      0.2089477383275099,
      0.2056004597513991,
      0.20230650496050456,
      0.19906491188831035,
      0.1958747179307761,
      0.19273501593247855,
      0.18964493980635433,
      0.18660365523899902,
      0.18361035324076547,
      0.18066424599670322,
      0.17776456404829247,
      0.17491055423786042,
      0.17210147836355383,
      0.16933661213375992,
      0.16661524436059877,
      0.16393667662605407,
      0.1613002228534064,
      0.15870520859290282,
      0.1561509709865602,
      0.15363685831166707,
      0.1511622299165512,
      0.14872645589392472,
      0.14632891684068838,
      0.14396900369779625,
      0.14164611754869927,
      0.13935966924363366,
      0.13710907947723378,
      0.13489377863431726,
      0.13271320639670717,
      0.13056681172105977,
      0.12845405260263612,
      0.12637439586593957,
      0.12432731714167683,
      0.12231230058394196,
      0.12032883875409593,
      0.11837643253672894,
      0.11645459096093043,
      0.11456283100302678,
      0.11270067744622769,
      0.11086766284154079,
      0.10906332727764945,
      0.10728721838504882,
      0.10553889104034657,
      0.10381790727905851,
      0.10212383621913973,
      0.10045625388081461,
      0.09881474305510943,
      0.09719889337302812,
      0.09560830101618567,
      0.09404256863435126,
      0.09250130522114546,
      0.09098412611980161,
      0.08949065267554153,
      0.08802051237270064,
      0.08657333877706969,
      0.0851487711052553,
      0.0837464543986744,
      0.08236603939675961,
      0.08100718237330944,
      0.07966954508755389,
      0.07835279472292354,
      0.07705660371468875,
      0.07578064967603142,
      0.0745246152438766,
      0.07328818828942729,
      0.07207106155298099,
      0.070872932617182,
      0.06969350386011525,
      0.06853248234924152,
      0.06738957996548271,
      0.06626451297555384,
      0.06515700204344287,
      0.06406677244883914,
      0.06299355369243533,
      0.06193707963257861,
      0.06089708827493859,
      0.0598733216953156,
      0.05886552616861148,
      0.057873451928238534,
      0.056896853048385175,
      0.05593548754756381,
      0.054989117322121195,
      0.0540575078939665,
      0.05314042861721459,
      0.052237652520736484,
      0.05134895587479031,
      0.05047411873076947,
      0.049612924514251915,
      0.04876516018126087,
      0.047930615821625146,
      0.04710908497733488,
      0.04630036429898875,
      0.04550425375871891,
      0.044720556442650064,
      0.04394907848250139,
      0.04318962909117574,
      0.04244202047938617,
      0.04170606782526551,
      0.04098158918520676,
      0.04026840541900926,
      0.03956634019862645,
      0.03887521998024084,
      0.038194873872145985,
      0.03752513377392823,
      0.036865834176444255,
      0.03621681206364291,
      0.03557790719342262,
      0.03494896161887138,
      0.034329820033055514,
      0.03372032944301695,
      0.0331203392344433,
      0.032529701143747286,
      0.031948269296344256,
      0.03137590013980947,
      0.030812452328529603,
      0.030257786636106843,
      0.02971176616230513,
      0.029174256007980792,
      0.02864512344155315,
      0.028124237787179204,
      0.027611470550316777,
      0.02710669502355496,
      0.02660978652900034,
      0.026120622503543744,
      0.02563908207644193,
      0.025165046379298395,
      0.02469839837362597,
      0.024239022940018607,
      0.023786806643906196,
      0.023341637851557857,
      0.02290340681484825,
      0.022472005228917413,
      0.02204732666715683,
      0.02162926634256141,
      0.02121772097734043,
      0.020812588971093858,
      0.02041377048634579,
      0.02002116708313364,
      0.019634681823148183,
      0.019254219424594928,
      0.018879685895053115,
      0.018510988850536415,
      0.01814803733781237,
      0.017790741745264113,
      0.017439013897201223,
      0.01709276705803105,
      0.016751915872315986,
      0.016416376176679962,
      0.016086065057723132,
      0.015760901048822273,
      0.015440803963465474,
      0.015125694822651997,
      0.014815496035156464,
      0.014510130914979937,
      0.014209524125288937,
      0.013913601548267996,
      0.013622290121582375,
      0.013335518080219448,
      0.01305321466841087,
      0.012775310224856685,
      0.012501736221160614,
      0.012232425101491789,
      0.011967310418162187,
      0.0117063267871982,
      0.011449409880219152,
      0.011196496241907416,
      0.010947523513544851,
      0.010702430268635661,
      0.010461156102849405,
      0.010223641537709419,
      0.009989827933470787,
      0.009759657615499242,
      0.009533073838747429,
      0.009310020679548576,
      0.009090443096204432,
      0.008874286878420224,
      0.008661498809947599,
      0.008452026357838335,
      0.00824581780993765,
      0.008042822415597027,
      0.007842990039984859,
      0.007646271374563951,
      0.007452617915440385,
      0.007261981938333308,
      0.007074316381320071,
      0.006889574990833151,
      0.006707712267543561,
      0.0065286832558267855,
      0.006352443818996913,
      0.006178950517116859,
      0.006008160557263942,
      0.0058400317336536394,
      0.005674522580276796,
      0.005511592284297056,
      0.0053512006722409786,
      0.00519330823045096,
      0.005037875994434293,
      0.004884865695048812,
      0.00473423950641282,
      0.004585960298285011,
      0.004439991471202503,
      0.004296297079927601,
      0.0041548416541891675,
      0.004015590301324437,
      0.0038785087663465068,
      0.003743563227569955,
      0.0036107203165263854,
      0.0034799472606516736,
      0.003351211894397124,
      0.003224482361159566,
      0.0030997274975799287,
      0.002976916494271598,
      0.0028560190551584607,
      0.002737005303912368,
      0.0026198460166400876,
      0.002504512246215119,
      0.002390975615826665,
      0.0022792081312987982,
      0.0021691821474135813,
      0.0020608704884238853,
      0.0019542464114710037,
      0.0018492836667915523,
      0.0017459564202720384,
      0.0016442391137316964,
      0.001544106663675,
      0.0014455345027925874,
      0.0013484982543699937,
      0.0012529740437468907,
      0.001158938258457267,
      0.0010663676462407611,
      0.0009752394209188049,
      0.0008855311410101187,
      0.0007972205837612949,
      0.000710285925044921,
      0.0006247058060254219,
      0.0005404592814015868,
      0.00045752547622112327,
      0.00037588391759780355,
      0.00029551444784890936,
      0.00021639722165270857,
      0.0001385126727528957,
      6.184166602917779e-05,
      -1.3634698414424071e-05,
      -8.793505123970863e-05,
      -0.00016107765534597955,
      -0.00023308057944305374,
      -0.00030396164155596373,
      -0.0003737382245307719,
      -0.00044242762446597303,
      -0.0005100468002211594,
      -0.0005766123574638121,
      -0.0006421406711873183,
      -0.0007066479052905671,
      -0.0007701500888719199,
      -0.0008326628228469395,
      -0.0008942015067286602,
      -0.0009547813226434469,
      -0.00101441725674247,
      -0.001073124011767185,
      -0.001130916058530573,
      -0.0011878076417543774,
      -0.0012438126514027743,
      -0.001298944963585454,
      -0.0013532182851190063,
      -0.0014066459146100329,
      -0.0014592410620530023,
      -0.0015110167670148735,
      -0.001561985669742017,
      -0.0016121604108963806,
      -0.001661553420350897,
      -0.0017101768768149406,
      -0.001758042641200624,
      -0.0018051625768229025,
      -0.0018515483350272756,
      -0.0018972113372530785,
      -0.001942162839087297,
      -0.0019864139554746484,
      -0.002029975583332074,
      -0.00207285845707774,
      -0.002115073088948047,
      -0.0021566299567806484,
      -0.0021975393540776406,
      -0.0022378112842702438,
      -0.002277455678027464,
      -0.0023164823558328366,
      -0.002354900945877763,
      -0.0023927209598836405,
      -0.002429951760587488,
      -0.0024666024201146866,
      -0.0025026820168807624,
      -0.0025381994417460487,
      -0.002573163433160692
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335037199851593,
      10.094623014314392,
      9.848414655730837,
      9.599109132141077,
      9.349065196942368,
      9.100329086794916,
      8.8546058247654,
      8.613246091054503,
      8.377247598143663,
      8.147272197416134,
      7.923677836761595,
      7.70655819068822,
      7.495789989234927,
      7.291083601755006,
      7.092032298447958,
      6.898157635583535,
      6.708946533528126,
      6.523883500267979,
      6.342476510743892,
      6.164273846560191,
      5.988877046247211,
      5.815938699833265,
      5.64518049998316,
      5.476406683845479,
      5.309498751740353,
      5.144416575665886,
      4.981193913718335,
      4.819933841481375,
      4.660810291848182,
      4.50409025613792,
      4.350108482116605,
      4.1992249772255645,
      4.051821371117183,
      3.908289813784302,
      3.7690191554733454,
      3.634370797277377,
      3.5046663574832895,
      3.3801795424982126,
      3.2611304096658102,
      3.147682089789963,
      3.0399383694505535,
      2.937931775548583,
      2.841622828846324,
      2.7508919498341977,
      2.6655597763256274,
      2.5854033813092947,
      2.510179618401659,
      2.4396331363403454,
      2.3735020612846203,
      2.311511881901338,
      2.2533620146747633,
      2.198698140865276,
      2.14714590693944,
      2.0983545448848857,
      2.0519935339642883,
      2.0077577970471534,
      1.9653925107411416,
      1.9246867058265917,
      1.885464653244053,
      1.847586863331193,
      1.8109389396892772,
      1.775420297885998,
      1.7409438266109976,
      1.7074388838090118,
      1.6748467364696862,
      1.6431173931077498,
      1.6122073826615029,
      1.5820781917149385,
      1.5526951585822142,
      1.5240266849795603,
      1.4960436681580207,
      1.4687180305011271,
      1.4420219628451276,
      1.4159305165498248,
      1.3904209372103276,
      1.3654729764758713,
      1.3410692427540445,
      1.3171944551771764,
      1.293833401354867,
      1.2709729110676045,
      1.2486008008325271,
      1.2267041465837245,
      1.2052697894679474,
      1.1842845850492965,
      1.1637355664171551,
      1.1436100824560056,
      1.1238967465186926,
      1.1045850024280073,
      1.0856646748941274,
      1.0671258386929023,
      1.048958513553547,
      1.0311528205828102,
      1.0136990769798078,
      0.9965878518994202,
      0.9798099977530782,
      0.9633566647854938,
      0.9472193051010672,
      0.9313896703540834,
      0.9158598055621459,
      0.9006220403652283,
      0.8856689789324155,
      0.8709934890941967,
      0.8565886914678732,
      0.8424479488743041,
      0.8285648553686358,
      0.8149332259762324,
      0.8015470873528937,
      0.7884006681067335,
      0.7754883899258967,
      0.7628048592520301,
      0.7503448586726781,
      0.7381033490269969,
      0.7260754797965105,
      0.7142565492762672,
      0.7026419935625954,
      0.6912273835070862,
      0.6800084209583845,
      0.6689809348869934,
      0.6581408774259638,
      0.6474844606743503,
      0.6370083952202239,
      0.6267093838584419,
      0.6165840166630181,
      0.6066288716106163,
      0.5968405838119217,
      0.5872158566957048,
      0.5777514671458428,
      0.5684442687414757,
      0.5592911919007555,
      0.5502892435610299,
      0.5414355058429506,
      0.532727134288293,
      0.5241613555931728,
      0.5157354659045643,
      0.5074468283013115,
      0.4992928710314199,
      0.49127108507318684,
      0.4833790221063677,
      0.47561429272980316,
      0.46797456438228524,
      0.46045755936041277,
      0.45306147687632803,
      0.445785018410226,
      0.43862665991755273,
      0.4315846785458722,
      0.42465724007100153,
      0.41784245513933566,
      0.4111384143663572,
      0.40454321064293475,
      0.3980549530370714,
      0.39167177530335656,
      0.38539184084742717,
      0.37921354457458856,
      0.37313545187777125,
      0.36715604047634276,
      0.36127373287011777,
      0.35548692872032306,
      0.34979402498580364,
      0.34419342870333713,
      0.3386835648821919,
      0.3332628890224474,
      0.3279299938558062,
      0.32268353249181503,
      0.3175221235653927,
      0.31244437390580426,
      0.30744889308902607,
      0.3025343017474869,
      0.2976990766047732,
      0.29294161818090175,
      0.28826044363618164,
      0.28365415922223375,
      0.2791214371990283,
      0.27466100035719915,
      0.2702715117955181,
      0.26595146712088136,
      0.26169946149495155,
      0.25751420690429233,
      0.2533944985866575,
      0.24933921130335912,
      0.24534759986456384,
      0.24141907684980266,
      0.2375529041565215,
      0.23374825154136672,
      0.23000423420674462,
      0.22631993742896558,
      0.22269443273762624,
      0.2191267885448691,
      0.21561607666609756,
      0.21216137698547194,
      0.20876177996592707,
      0.20541638828892148,
      0.20212430543661997,
      0.19888456616129666,
      0.19569620976100416,
      0.19255833028114314,
      0.18947006249508852,
      0.18643057240797678,
      0.18343905140531702,
      0.18049471200245842,
      0.17759678491238148,
      0.17474451712998523,
      0.1719371704658878,
      0.16917402067829604,
      0.16645435674246695,
      0.16377748021107846,
      0.16114270484250393,
      0.15854935633051753,
      0.1559967718108265,
      0.1534842996712313,
      0.15101129922646436,
      0.14857714050534107,
      0.14618120412445668,
      0.1438228809619343,
      0.14150157212730038,
      0.13921668863596337,
      0.1369676512390927,
      0.13475389037726548,
      0.13257484570463873,
      0.13042996616137237,
      0.12831870971172163,
      0.1262405433442181,
      0.12419494269880686,
      0.12218139199387626,
      0.12019938381435818,
      0.11824841902135673,
      0.11632800668761699,
      0.11443766389358916,
      0.11257691541562145,
      0.11074529387731513,
      0.10894233934128057,
      0.10716759951028532,
      0.10542062929789821,
      0.10370099071577518,
      0.10200825296872021,
      0.10034199218552133,
      0.09870179125594536,
      0.09708723986194416,
      0.09549793414386858,
      0.09393347678919182,
      0.09239347689566073,
      0.09087754975467505,
      0.08938531698026071,
      0.08791640611283208,
      0.08647045073353458,
      0.0850470900649639,
      0.08364596921854399,
      0.08226673899463305,
      0.08090905571255477,
      0.07957258118406148,
      0.07825698258547016,
      0.07696193240279,
      0.07568710835463537,
      0.07443219326696084,
      0.07319687499503377,
      0.0719808463696957,
      0.07078380495771382,
      0.06960545331069484,
      0.0684454985858663,
      0.06730365251155478,
      0.06617963144227969,
      0.06507315627195706,
      0.06398395228398171,
      0.06291174907491631,
      0.0618562805925462,
      0.06081728483040025,
      0.059794504059440194,
      0.0587876845183117,
      0.0577965765226192,
      0.05682093425200514,
      0.05586051588274746,
      0.05491508315592391,
      0.05398440185005183,
      0.05306824131081769,
      0.05216637446215033,
      0.05127857791027893,
      0.050404631651029784,
      0.049544319244966065,
      0.048697427592286346,
      0.047863746949624475,
      0.04704307093691765,
      0.046235196236014096,
      0.04543992291782391,
      0.044657054152662544,
      0.04388639619604728,
      0.04312775828792638,
      0.04238095263330015,
      0.04164579444798082,
      0.040922101831232516,
      0.040209695767510656,
      0.039508400008599204,
      0.0388180410615482,
      0.03813844819390644,
      0.03746945332516966,
      0.03681089093176455,
      0.036162598181278656,
      0.03552441477779134,
      0.03489618290959877,
      0.03427774729182571,
      0.033668955070034916,
      0.03306965568788193,
      0.03247970101212455,
      0.03189894528254428,
      0.031327244879834265,
      0.0307644584647276,
      0.030210446973136323,
      0.029665073435227788,
      0.02912820321674712,
      0.028599703594495773,
      0.02807944392480117,
      0.027567295699055774,
      0.02706313238477417,
      0.026566829433524515,
      0.02607826416281111,
      0.025597315842407944,
      0.025123865667470283,
      0.024657796739213166,
      0.024198993912545475,
      0.02374734389945469,
      0.023302735022599157,
      0.022865057560735487,
      0.022434203370113145,
      0.022010066084738173,
      0.02159254091282764,
      0.021181524632334865,
      0.020776915752730052,
      0.020378614376843077,
      0.019986522191325816,
      0.019600542348721803,
      0.019220579546287028,
      0.018846539843458587,
      0.01847833101886123,
      0.018115862151924428,
      0.017759043718157074,
      0.0174077876329285,
      0.01706200710345875,
      0.016721616727525916,
      0.01638653245776828,
      0.016056671590431983,
      0.0157319526827983,
      0.015412295545770071,
      0.015097621298324374,
      0.014787852262044663,
      0.0144829119426758,
      0.01418272508653487,
      0.01388721758895832,
      0.013596316477340036,
      0.013309949911183045,
      0.013028047135903848,
      0.012750538574018123,
      0.012477355768887812,
      0.012208431243260447,
      0.011943698667309025,
      0.011683092681038334,
      0.011426548937042166,
      0.011174004121691365,
      0.010925395910196678,
      0.01068066291292182,
      0.01043974468910107,
      0.010202581789835522,
      0.009969115607179373,
      0.009739288589704475,
      0.009513044010477015,
      0.00929032595418713,
      0.00907107954959037,
      0.008855250525020125,
      0.00864278574635451,
      0.008433632721983796,
      0.008227739867829997,
      0.00802505629202225,
      0.007825531989694158,
      0.007629117729405432,
      0.007435765019127221,
      0.007245426061991161,
      0.007058053988833237,
      0.006873602604052101,
      0.00669202628722336,
      0.006513280221052345,
      0.0063373203173787505,
      0.006164103145802529,
      0.005993585903263969,
      0.005825726513262353,
      0.0056604835687134895,
      0.005497816328666895,
      0.005337684545486814,
      0.005180048745992572,
      0.00502486998721473,
      0.0048721100281941526,
      0.00472173120538137,
      0.004573696259071688,
      0.004427968798123466,
      0.004284512832463764,
      0.00414329296289033,
      0.004004274254415407,
      0.0038674224430711546,
      0.0037327037312855985,
      0.0036000848777787892,
      0.0034695331690399347,
      0.003341016328762059,
      0.0032145027794813073,
      0.003089961276852792,
      0.002967360933208335,
      0.0028466715925326096,
      0.0027278634130284024,
      0.0026109071064155326,
      0.0024957737909747884,
      0.0023824350181541982,
      0.002270862794421163,
      0.002161029649589826,
      0.0020529085225274844,
      0.0019464726676830895,
      0.0018416958682707142,
      0.0017385521422507363,
      0.0016370161622239207,
      0.0015370628505446797,
      0.0014386675416501458,
      0.0013418058661119239,
      0.0012464539922646706,
      0.001152588322616371,
      0.0010601856938579606,
      0.0009692233241221443,
      0.0008796787933992409,
      0.0007915299810929935,
      0.0007047551573121178,
      0.0006193328528758213,
      0.0005352420360091293,
      0.00045246194687039365,
      0.0003709721181700243,
      0.0002907524852749347,
      0.00021178323137007637,
      0.00013404478588295815,
      5.7518021166794026e-05,
      -1.7815917931780382e-05,
      -9.197565636212612e-05,
      -0.00016497942019767575,
      -0.00023684527372171344,
      -0.0003075909611873664,
      -0.00037723394472840617,
      -0.00044579132658658136,
      -0.000513280132634625,
      -0.0005797169655567936,
      -0.0006451183119590776,
      -0.000709500308019601,
      -0.0007728787582641007,
      -0.0008352692995566449,
      -0.0008966874240962253,
      -0.0009571482859644958,
      -0.0010166667796726212,
      -0.0010752574841499016,
      -0.00113293488520071,
      -0.001189713292588616,
      -0.0012456066863022048,
      -0.0013006288477452016,
      -0.0013547933693774338,
      -0.0014081135870914968,
      -0.0014606026644572773,
      -0.0015122735807208787,
      -0.0015631391054954382,
      -0.001613211759901027,
      -0.0016625039800464364,
      -0.0017110279242596447,
      -0.0017587955334911836,
      -0.0018058186354729226,
      -0.0018521088194446032,
      -0.001897677507039018,
      -0.0019425358635636097,
      -0.001986695038912095,
      -0.0020301658679419414,
      -0.0020729591485458268,
      -0.002115085403813733,
      -0.002156555044489751,
      -0.0021973781806478424,
      -0.002237564966794095,
      -0.0022771253937231015,
      -0.0023160692258226024,
      -0.0023544060585168835,
      -0.0023921453689074845,
      -0.0024292964063485347,
      -0.0024658683498309155,
      -0.002501870286650771,
      -0.002537311139926238,
      -0.0025721995637887625
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335033764671929,
      10.094610653384503,
      9.8483873012723,
      9.599062430433742,
      9.348996110149413,
      9.100235624814298,
      8.85448680585154,
      8.613100931363496,
      8.377076127333899,
      8.14707457855603,
      7.923454500099001,
      7.706309591281332,
      7.4955165516369675,
      7.290785696191979,
      7.091710215233809,
      6.897811613996023,
      6.708576801220308,
      6.523490308280557,
      6.342060195789255,
      6.163834889370073,
      5.988416106934265,
      5.815456708723995,
      5.644678595957457,
      5.4758862282029055,
      5.308961357099878,
      5.1438640566956995,
      4.980628240071804,
      4.819357274629731,
      4.6602255114411,
      4.503500629149543,
      4.34951752093633,
      4.19863620468414,
      4.051238259357054,
      3.9077158530730265,
      3.7684576933144367,
      3.6338248874797823,
      3.504138711821851,
      3.379672493053229,
      3.260645884710256,
      3.147221602347407,
      3.039502948979088,
      2.9375219181472976,
      2.8412385429299607,
      2.750532592585088,
      2.665224180887529,
      2.5850898123450943,
      2.5098862035904967,
      2.43935798865528,
      2.3732431417406916,
      2.3112670243846103,
      2.253129143383903,
      2.198474750628165,
      2.1469295496950425,
      2.098143003063295,
      2.051784876965943,
      2.007550194069558,
      1.9651845516434094,
      1.9244773434497582,
      1.8852531337421543,
      1.8473726532276775,
      1.8107216366495893,
      1.7751995831902017,
      1.7407195019454185,
      1.7072108366231475,
      1.67461491550092,
      1.642881789102191,
      1.6119680153472506,
      1.5818351007632157,
      1.5524483974510805,
      1.5237763162237787,
      1.4957897606154567,
      1.4684606848570916,
      1.4417613054625158,
      1.4156666652328376,
      1.390154002672867,
      1.3652030705708735,
      1.3407966106611662,
      1.3169193441589775,
      1.2935561012173042,
      1.2706938136475305,
      1.2483201795034684,
      1.2264221893261813,
      1.2049866235908728,
      1.18400031011377,
      1.1634502634868287,
      1.1433238307094598,
      1.1236096309720651,
      1.1042970982670282,
      1.0853760556644398,
      1.0668365663766814,
      1.0486686426212022,
      1.0308624003006488,
      1.0134081528407992,
      0.9962964670942152,
      0.9795181936147329,
      0.9630644813773608,
      0.9469267815426465,
      0.9310968449858471,
      0.9155667160520049,
      0.9003287235522661,
      0.8853754711712074,
      0.8706998261841851,
      0.8562949087272425,
      0.8421540806971152,
      0.8282709357902424,
      0.8146392890273482,
      0.8012531664401551,
      0.7881067960459409,
      0.775194599170718,
      0.762511181631014,
      0.7500513255251645,
      0.737810002193508,
      0.7257823612623698,
      0.7139636959771967,
      0.7023494390115018,
      0.6909351589719123,
      0.6797165560165417,
      0.6686894578671168,
      0.6578498155086143,
      0.6471939518962242,
      0.636718582219993,
      0.6264203639731811,
      0.6162958577006451,
      0.606341622643598,
      0.5965542821674809,
      0.5869305314177692,
      0.577467142450273,
      0.5681609651345222,
      0.559008927457567,
      0.5500080346300322,
      0.5411553674841039,
      0.5324480807264386,
      0.5238834003319017,
      0.5154586217560126,
      0.5071711075089682,
      0.4990182855386044,
      0.49099764632719806,
      0.48310674141538384,
      0.47534318085109245,
      0.4677046315867546,
      0.46018881579605425,
      0.4527940202176017,
      0.4455189495074283,
      0.4383620441548386,
      0.43132155819111784,
      0.4243956426998794,
      0.41758239864587965,
      0.4108799102307539,
      0.4042862663329384,
      0.3977995732465845,
      0.3914179630243379,
      0.38513959774472767,
      0.37896289676879724,
      0.3728864258675136,
      0.3669086520174983,
      0.36102799081864756,
      0.3552428373963198,
      0.3495515858946558,
      0.34395264141668325,
      0.3384444275396641,
      0.33302540476352593,
      0.3276941729876414,
      0.32244937944531143,
      0.31728963902114515,
      0.31221355626605124,
      0.3072197391494097,
      0.3023068073608,
      0.29747324090049654,
      0.2927174398051033,
      0.2880379196477965,
      0.28343328559583875,
      0.2789022089775636,
      0.27444341213051776,
      0.2700556197445355,
      0.2657373730941185,
      0.2614872283347935,
      0.2573038721607332,
      0.2531860830989461,
      0.24913273345133852,
      0.245143082238663,
      0.24121652993630546,
      0.23735233042606088,
      0.23354964824377406,
      0.229807595114072,
      0.22612525400467287,
      0.22250169502813108,
      0.21893598549188975,
      0.21542719651560574,
      0.21197440737428733,
      0.2085767082848378,
      0.20523320190382732,
      0.20194298932651267,
      0.19870510233753697,
      0.19551858204512,
      0.19238252356588964,
      0.18929606240347638,
      0.1862583652468463,
      0.1832686238660864,
      0.18032605095153495,
      0.17742987733419854,
      0.1745793501076827,
      0.17177373114266972,
      0.1690122962755616,
      0.16629433446921288,
      0.16361914735726005,
      0.1609860486874165,
      0.15839436410151508,
      0.15584343081286814,
      0.15333259715542422,
      0.15086122260156806,
      0.14842867719905886,
      0.14603434150808653,
      0.14367760654152448,
      0.1413578734041064,
      0.13907455304896252,
      0.13682706632335687,
      0.13461484361680753,
      0.1324373246517936,
      0.13029395836527446,
      0.12818420284991675,
      0.12610752501096736,
      0.12406340056159929,
      0.12205131380372491,
      0.12007075726969145,
      0.11812123191132086,
      0.116202246831862,
      0.11431331915195334,
      0.11245397369115138,
      0.11062374315134466,
      0.10882216775280719,
      0.10704879510491608,
      0.10530317999915266,
      0.1035848845816411,
      0.10189347825786084,
      0.1002285371885715,
      0.09858964420311914,
      0.09697638905931473,
      0.0953883680269086,
      0.09382518386873408,
      0.09228644569757657,
      0.09077176893737716,
      0.08928077510907713,
      0.08781309176498714,
      0.08636835249451572,
      0.08494619676044741,
      0.08354626979698093,
      0.08216822239137188,
      0.08081171087268754,
      0.07947639725065095,
      0.07816194869703123,
      0.07686803781537224,
      0.07559434230017095,
      0.07434054495775924,
      0.0731063337042875,
      0.07189140137530048,
      0.07069544578545245,
      0.06951816941492868,
      0.06835927952943392,
      0.067218487974023,
      0.06609551116526845,
      0.06499007003950494,
      0.06390188996332054,
      0.06283070063859277,
      0.061776236013577866,
      0.060738234190727824,
      0.059716437512004554,
      0.058710592306789995,
      0.05772044891582757,
      0.05674576162121793,
      0.05578628859495327,
      0.054841791753339815,
      0.05391203685806329,
      0.052996793277992206,
      0.052095834064068,
      0.05120893585951622,
      0.05033587885246406,
      0.04947644653810988,
      0.048630425907106783,
      0.047797607309550155,
      0.04697778440528686,
      0.046170754053387456,
      0.04537631635372588,
      0.044594274420938676,
      0.04382443454823784,
      0.043066606132187026,
      0.04232060151062696,
      0.04158623584354601,
      0.04086332746289109,
      0.04015169741367149,
      0.03945116954309428,
      0.0387615703554303,
      0.03808272914445364,
      0.03741447788483953,
      0.03675665121049957,
      0.036109086294925014,
      0.03547162303071405,
      0.034844103564188274,
      0.034226372659662566,
      0.03361827751983189,
      0.033019667704988806,
      0.032430395143875475,
      0.03185031403922584,
      0.031279280845430295,
      0.030717154408069214,
      0.030163795705092294,
      0.02961906786353369,
      0.029082836197336932,
      0.028554968011954347,
      0.028035332842694445,
      0.027523802199149315,
      0.027020249635648405,
      0.026524550682844462,
      0.026036582710886245,
      0.025556225118016074,
      0.02508335917027361,
      0.024617867969880497,
      0.024159636392077452,
      0.023708551169054234,
      0.02326450078395384,
      0.022827375536791147,
      0.022397067337913926,
      0.021973469850966598,
      0.021556478426406827,
      0.02114598995285018,
      0.020741902911084294,
      0.02034411742821959,
      0.01995253529373049,
      0.01956705973375876,
      0.01918759537565195,
      0.018814048542307567,
      0.018446326840630387,
      0.01808433950562004,
      0.017727997076528355,
      0.01737721151079924,
      0.017031896163419467,
      0.016691965733615605,
      0.016357336191477733,
      0.016027924798213022,
      0.01570365017016685,
      0.015384432176007191,
      0.01507019189602639,
      0.014760851739058075,
      0.01445633533556911,
      0.01415656735877163,
      0.013861473885000645,
      0.01357098185535761,
      0.01328501962272571,
      0.013003516607128876,
      0.012726403095307983,
      0.012453610718053584,
      0.012185072124755812,
      0.01192072092275265,
      0.011660491703244766,
      0.011404320268224506,
      0.011152143346682575,
      0.010903898726782216,
      0.01065952498225541,
      0.010418961759426594,
      0.010182149615944693,
      0.009949030124924966,
      0.009719545651838604,
      0.009493639484866638,
      0.00927125575203545,
      0.009052339641361722,
      0.008836837102722752,
      0.008624694845898432,
      0.008415860443077232,
      0.00821028238408203,
      0.008007909835978703,
      0.0078086928953040105,
      0.007612582303111022,
      0.007419529627080929,
      0.007229487135012213,
      0.007042407938294335,
      0.0068582458779213925,
      0.0066769554514709215,
      0.006498491812645921,
      0.0063228108561193975,
      0.0061498692032859684,
      0.005979624191241148,
      0.00581203369894272,
      0.005647056350836672,
      0.00548465144992193,
      0.005324778894290072,
      0.005167399178731023,
      0.0050124734560466145,
      0.0048599633336329695,
      0.004709831225425326,
      0.004562040089700119,
      0.004416553442829121,
      0.004273335292422688,
      0.004132350225008179,
      0.003993563476894945,
      0.003856940721517317,
      0.003722448220767565,
      0.003590052832706382,
      0.003459721868691574,
      0.003331423073089697,
      0.003205124776680264,
      0.00308079577231658,
      0.002958405345010008,
      0.002837923304028155,
      0.002719319858187459,
      0.0026025656960325678,
      0.0024876320614547484,
      0.002374490545576349,
      0.0022631132105775313,
      0.0021534725561550465,
      0.0020455414627114977,
      0.0019392931929321977,
      0.0018347016111736716,
      0.001731740934679884,
      0.0016303856895941698,
      0.0015306107316448707,
      0.001432391446752777,
      0.0013357036667473864,
      0.001240523498418534,
      0.0011468274268087988,
      0.0010545923310429374,
      0.0009637953681209525,
      0.0008744140932053759,
      0.0007864264986550055,
      0.0006998109022677493,
      0.0006145458620363948,
      0.0005306103974698554,
      0.0004479837289629085,
      0.0003666454380598239,
      0.00028657543813405406,
      0.00020775386361670877,
      0.00013016127215022423,
      5.3778548936074845e-05,
      -2.1413117254758115e-05,
      -9.543245446747016e-05,
      -0.00016829760821911494,
      -0.0002400266138719714,
      -0.0003106372191232668,
      -0.00038014687732691114,
      -0.0004485727207341446,
      -0.0005159317040437513,
      -0.0005822403401296562,
      -0.0006475150703581686,
      -0.0007117720490531906,
      -0.0007750270479270629,
      -0.0008372957343854393,
      -0.0008985935675994758,
      -0.0009589356491042725,
      -0.0010183368205416148,
      -0.0010768117027356492,
      -0.0011343747721029656,
      -0.0011910402330328918,
      -0.0012468221755768962,
      -0.0013017343570198912,
      -0.0013557903959721396,
      -0.0014090035650137559,
      -0.0014613869636649636,
      -0.0015129536016298786,
      -0.0015637161571724957,
      -0.0016136871478415944,
      -0.0016628790050453419,
      -0.0017113038556842972,
      -0.001758973665162211,
      -0.0018059001380322528,
      -0.0018520949167555832,
      -0.0018975694300154594,
      -0.0019423349440547903,
      -0.0019864024478811098,
      -0.002029782849054227,
      -0.002072486902062853,
      -0.002114525104111738,
      -0.002155907825587712,
      -0.0021966451978730293,
      -0.0022367473696381815,
      -0.0022762243110707884,
      -0.002315085732450118,
      -0.0023533412365187726,
      -0.002391000248122527,
      -0.002428071962196302,
      -0.0024645656533914266,
      -0.002500490394384185,
      -0.002535855002471112,
      -0.0025706682076711974
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33503033305241,
      10.094598308056222,
      9.848359978629798,
      9.599015781868921,
      9.348927101066453,
      9.100142267868465,
      8.854367921595486,
      8.612955937187632,
      8.376904855368489,
      8.146877195809509,
      7.923231439106998,
      7.706061307753223,
      7.495243473558258,
      7.2904881966332145,
      7.0913885866970086,
      6.897466097308942,
      6.7082076241124176,
      6.523097721417783,
      6.34164453717938,
      6.163396640338371,
      5.987955929471374,
      5.814975537015844,
      5.644177573021054,
      5.475366717573744,
      5.308424973445317,
      5.143312615089922,
      4.980063710060245,
      4.818781916712476,
      4.6596420045148434,
      4.502912335762954,
      4.348927948633031,
      4.198048870753259,
      4.05065662875455,
      3.9071434079575047,
      3.7678977723126965,
      3.6332805356593356,
      3.5036126324698116,
      3.3791670104611673,
      3.260162919797968,
      3.146762662180879,
      3.0390690574677146,
      2.9371135659655234,
      2.8408557341591933,
      2.750174681451051,
      2.66488989630463,
      2.584777432944637,
      2.509593870478419,
      2.439083827807405,
      2.3729851259731887,
      2.3110229982104187,
      2.252897040474723,
      2.1982520767111664,
      2.146713865805933,
      2.0979320994902717,
      2.0515768300112165,
      2.007343179210209,
      1.9649771617029166,
      1.924268533712077,
      1.8850421521949903,
      1.8471589690836858,
      1.8105048470916378,
      1.774979370313854,
      1.7404956693932319,
      1.7069832740192121,
      1.6743835723427465,
      1.6426466567492608,
      1.6117291146015227,
      1.5815924727254782,
      1.5522020967010537,
      1.523526405721142,
      1.495536309189787,
      1.4682037936862657,
      1.4415011004774172,
      1.415403264303803,
      1.389887516873458,
      1.3649336115921629,
      1.340524424168281,
      1.316644678038117,
      1.2932792453242474,
      1.2704151594978947,
      1.248039999777663,
      1.2261406790263472,
      1.2047039130211017,
      1.1837164959763296,
      1.1631654244362784,
      1.1430380438599559,
      1.1233229806847835,
      1.1040096602261384,
      1.0850879030324267,
      1.0665477610400351,
      1.0483792391396154,
      1.030572448061293,
      1.013117697997478,
      0.9960055531743184,
      0.9792268622181356,
      0.9627727725106323,
      0.9466347340965049,
      0.9308044970519689,
      0.9152741048753228,
      0.9000358861874845,
      0.8850824438604065,
      0.8704066447432008,
      0.8560016085174454,
      0.8418606966400785,
      0.8279775022217545,
      0.8143458396449261,
      0.8009597344960784,
      0.7878134141764686,
      0.7749012995980417,
      0.7622179961285293,
      0.7497582889094375,
      0.7375171575515636,
      0.7254897482752953,
      0.7136713505776543,
      0.7020573941673784,
      0.6906434453283161,
      0.6794252027787748,
      0.6683984930880374,
      0.6575592689092365,
      0.6469039630127873,
      0.6364292927795384,
      0.6261318707852275,
      0.6160082279448426,
      0.6060549055513175,
      0.5962685147909441,
      0.5866457430071278,
      0.5771833568916545,
      0.5678782029063806,
      0.5587272066544796,
      0.5497273714885679,
      0.540875777202318,
      0.5321695774592049,
      0.5236059975084365,
      0.5151823322098816,
      0.5068959436780259,
      0.4987442591737645,
      0.4907247691097336,
      0.4828350243221821,
      0.475072634606527,
      0.4674352666505005,
      0.45992064315920544,
      0.45252713798769256,
      0.44525345756503176,
      0.4380980071625896,
      0.43105901819518117,
      0.42413462699335985,
      0.4173229248796024,
      0.4106219898585345,
      0.40402990665644173,
      0.39754477890720286,
      0.39116473669292356,
      0.38488795209229715,
      0.3787128627186207,
      0.37263802374670085,
      0.3666618937961507,
      0.36078288286976573,
      0.35499938252002233,
      0.3493097844993253,
      0.34371249230671685,
      0.33820592847795833,
      0.3327885585199072,
      0.32745898951811464,
      0.322215863177273,
      0.3170577908266267,
      0.3119833746411198,
      0.30699122102639154,
      0.30207994847970554,
      0.2972480401424702,
      0.29249389601649683,
      0.28781602991341715,
      0.2832130458817131,
      0.278683614474463,
      0.27422645751647,
      0.26984033752664144,
      0.26552386644287956,
      0.26127556842635863,
      0.2570941018655154,
      0.25297822681737064,
      0.2489268116965976,
      0.24493911891247186,
      0.24101453636201317,
      0.23715230983482327,
      0.2333515983558946,
      0.22961150997313073,
      0.22593112526161926,
      0.22230951259195153,
      0.21874573823581395,
      0.21523887262178357,
      0.21178799452193012,
      0.20839219383559973,
      0.2050505730968707,
      0.20176223118357997,
      0.19852619673844826,
      0.19534151267053548,
      0.1922072754121222,
      0.18912262122555734,
      0.18608671735986845,
      0.1830987558203873,
      0.1801579496025783,
      0.17726352965815667,
      0.1744147432204281,
      0.17161085223545536,
      0.16885113255051934,
      0.16613487316981612,
      0.1634613757215618,
      0.16082995409171072,
      0.15823993393650915,
      0.1556906523850408,
      0.15318145780350134,
      0.15071170957723362,
      0.14828077778251475,
      0.14588804308454437,
      0.14353289657623008,
      0.141214739308789,
      0.13893298224496878,
      0.1366870462853403,
      0.1344763618333902,
      0.13230036859219282,
      0.13015851564299988,
      0.12805026109362247,
      0.12597507183068432,
      0.12393242355913624,
      0.12192180064609118,
      0.11994269574984572,
      0.11799460982472043,
      0.11607705199257223,
      0.11418953948503854,
      0.11233159712774507,
      0.11050275760000323,
      0.10870256112151494,
      0.1069305554054213,
      0.10518629539404314,
      0.10346934337512335,
      0.10177926859995656,
      0.1001156472561028,
      0.09847806231673238,
      0.09686610348282337,
      0.09527936709725436,
      0.09371745607484354,
      0.09217997951800627,
      0.09066655283703312,
      0.08917679765013507,
      0.08771034173053514,
      0.08626681860290107,
      0.08484586771306697,
      0.08344713432264769,
      0.08207026936708965,
      0.0807149293305992,
      0.07938077610834418,
      0.07806747699648847,
      0.07677470465998636,
      0.07550213691920427,
      0.07424945665029525,
      0.07301635180887127,
      0.071802515252355,
      0.0706076448950856,
      0.06943144328371184,
      0.06827361780018615,
      0.06713388035402144,
      0.06601194747345704,
      0.06490754004369907,
      0.06382038347854964,
      0.06275020757754671,
      0.061696746386455795,
      0.06065973804186395,
      0.05963892496157697,
      0.058634053526037844,
      0.05764487414987041,
      0.05667114114552138,
      0.055712612764068484,
      0.054769051043592434,
      0.05384022190733446,
      0.05292589479906142,
      0.05202584274855473,
      0.05113984248541566,
      0.05026767415317688,
      0.04940912138956167,
      0.048563971248018804,
      0.047732014214825695,
      0.04691304398162037,
      0.04610685745905135,
      0.04531325477085874,
      0.04453203925048708,
      0.04376301717630735,
      0.043005998008210894,
      0.042260794247737446,
      0.04152722112589556,
      0.04080509690522663,
      0.04009424261480848,
      0.03939448219638492,
      0.03870564235668235,
      0.038027552461687354,
      0.037360044536743096,
      0.03670295328638773,
      0.036056115930327426,
      0.035419372230549605,
      0.034792564664808776,
      0.03417553805714782,
      0.03356813957685811,
      0.03297021881022858,
      0.03238162775225611,
      0.031802220782586446,
      0.03123185441480342,
      0.030670387461463857,
      0.030117681036174106,
      0.029573598259021814,
      0.029038004650691826,
      0.028510767613229838,
      0.02799175663080902,
      0.02748084330017777,
      0.02697790121039892,
      0.02648280587482454,
      0.025995434842257168,
      0.025515667618853034,
      0.025043385368518405,
      0.024578471281442936,
      0.024120810422395316,
      0.02367028957361301,
      0.02322679720522073,
      0.02279022364315913,
      0.022360460906962476,
      0.021937402687921704,
      0.02152094437817231,
      0.021110982960058196,
      0.020707417054553125,
      0.020310146873922526,
      0.019919074206289446,
      0.01953410226645578,
      0.019155135876573543,
      0.01878208118855704,
      0.01841484608636898,
      0.01805333981851652,
      0.01769747288443337,
      0.01734715737071372,
      0.017002306530301537,
      0.016662835180408748,
      0.01632865948304081,
      0.01599969670561337,
      0.015675865507484107,
      0.015357085881712983,
      0.01504327896228526,
      0.014734367128415683,
      0.014430274056694675,
      0.014130924536034319,
      0.013836244573781811,
      0.013546161347282124,
      0.013260603083521014,
      0.012979499255053028,
      0.012702780341269333,
      0.012430377944209765,
      0.012162224621753046,
      0.01189825413850635,
      0.011638401205940774,
      0.011382601665363543,
      0.011130792280669634,
      0.010882910738446923,
      0.010638895791543129,
      0.010398687088755822,
      0.010162225307159193,
      0.009929451976532526,
      0.009700309529887808,
      0.009474741344724749,
      0.009252691699093783,
      0.009034105635604393,
      0.008818929102057073,
      0.008607109044781342,
      0.00839859307308412,
      0.008193329539954509,
      0.007991267695761034,
      0.007792357667267428,
      0.0075965502871310694,
      0.00740379710467513,
      0.007214050488380613,
      0.007027263661638336,
      0.006843390359941504,
      0.006662385203011763,
      0.006484203446667427,
      0.0063088010488161605,
      0.006136134573145895,
      0.005966161292089425,
      0.005798839279847785,
      0.005634127222451336,
      0.005471984357527892,
      0.005312370613213473,
      0.005155246507973686,
      0.005000573256662528,
      0.004848312586450653,
      0.004698426840860525,
      0.0045508790484981194,
      0.004405632714215594,
      0.004262651917502399,
      0.004121901362417223,
      0.003983346264539323,
      0.0038469523162158754,
      0.0037126857870646663,
      0.0035805135317169825,
      0.003450402916885444,
      0.0033223217441722248,
      0.0031962384099640737,
      0.0030721216667203223,
      0.002949940869545252,
      0.0028296658619671963,
      0.002711266857690086,
      0.0025947146799747828,
      0.0024799805387664443,
      0.002367036000406776,
      0.002255853226188952,
      0.0021464046973000417,
      0.0020386632531096175,
      0.001932602404732638,
      0.0018281959572516004,
      0.0017254180086701402,
      0.0016242431600152953,
      0.0015246464156866736,
      0.0014266030977028105,
      0.0013300890163909249,
      0.0012350803815917902,
      0.0011415536774518858,
      0.001049485792927383,
      0.0009588539371863825,
      0.0008696357537994044,
      0.0007818091375316778,
      0.0006953524593091816,
      0.000610244296735083,
      0.0005264636554526913,
      0.0004439897212679056,
      0.00036280221738005597,
      0.0002828811084036847,
      0.0002042066235435041,
      0.00012675940807855098,
      5.0520243662375146e-05,
      -2.452974713296679e-05,
      -9.840912400385638e-05,
      -0.00017113623376261252,
      -0.00024272899586948998,
      -0.00031320499844086046,
      -0.0003825817071917437,
      -0.00045087631764328506,
      -0.0005181056763433342,
      -0.0005842863216345228,
      -0.0006494345739878612,
      -0.0007135666190943076,
      -0.0007766984252153442,
      -0.0008388455259016674,
      -0.0009000233101331107,
      -0.0009602468471269074,
      -0.0010195309392408447,
      -0.0010778903901031078,
      -0.0011353395028841989,
      -0.0011918924671436783,
      -0.0012475633764704476,
      -0.0013023659657857888,
      -0.0013563136969627478,
      -0.0014094200344975496,
      -0.0014616980909613838,
      -0.001513160723194334,
      -0.0015638205765557364,
      -0.001613690153478521,
      -0.0016627818496669782,
      -0.0017111078122787836,
      -0.001758680038310756,
      -0.001805510351752503,
      -0.0018516101892409212,
      -0.0018969909312128114,
      -0.0019416638001738499,
      -0.001985639873050671,
      -0.0020289300483106788,
      -0.002071544955217175,
      -0.0021134951035836273,
      -0.0021547908551729678,
      -0.0021954425534676815,
      -0.002235460277854779,
      -0.0022748538514764196,
      -0.0023136328925752164,
      -0.002351806960379763,
      -0.0023893855989666393,
      -0.002426378082201492,
      -0.0024627935262590676,
      -0.0024986410401641457,
      -0.0025339294433668136,
      -0.0025686673512637557
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33502689075405,
      10.094585931226465,
      9.848332597915409,
      9.598969043913312,
      9.348857967374352,
      9.10004875052379,
      8.854248837940622,
      8.612810702562442,
      8.376733299993926,
      8.146679484242782,
      7.923008004305052,
      7.7058126076405085,
      7.494969935916179,
      7.290190194081684,
      7.0910664205175316,
      6.897120007979877,
      6.707837840849102,
      6.522704495481221,
      6.341228207210204,
      6.162957688307991,
      5.987495017681345,
      5.8144935997409695,
      5.643675753610865,
      5.474846379482103,
      5.307887730783738,
      5.142760284881185,
      4.979498263414896,
      4.818205616830214,
      4.659057532108391,
      4.502323058474281,
      4.348337378575378,
      4.197460529505389,
      4.050073986424644,
      3.9065699525240665,
      3.7673368481792755,
      3.6327351920008826,
      3.503085575937627,
      3.3786605682946527,
      3.2596790144695467,
      3.1463028005595697,
      3.0386342635216534,
      2.9367043312714025,
      2.840472061834237,
      2.74981592426042,
      2.6645547163577232,
      2.5844641191010433,
      2.5093005726504605,
      2.438808680112572,
      2.3727261080840876,
      2.3107779602459266,
      2.2526639206314347,
      2.198028388054425,
      2.146497172009617,
      2.0977201935746956,
      2.0513677906909704,
      2.0071351826714725,
      1.964768801888802,
      1.924058766296953,
      1.884830225391049,
      1.8469443517104898,
      1.810287136141271,
      1.7747582474926602,
      1.740270938372415,
      1.7067548242646808,
      1.6741513531143848,
      1.6424106594001722,
      1.6114893597062505,
      1.5813490008400763,
      1.55195496159926,
      1.5232756708771669,
      1.4952820434929481,
      1.4679460975171967,
      1.44124009994846,
      1.415139077127463,
      1.3896202538340972,
      1.3646633840154037,
      1.3402514774337733,
      1.316369260237684,
      1.29300164645485,
      1.2701357717669117,
      1.2477590962483174,
      1.2258584546768594,
      1.204420498441686,
      1.183431986993845,
      1.162879899196649,
      1.142751579592267,
      1.1230356613728807,
      1.1037215609409208,
      1.084799096699397,
      1.066258309941668,
      1.048089197595721,
      1.0302818653994068,
      1.0128266196293745,
      0.9957140222719741,
      0.978934920108506,
      0.9624804590109318,
      0.9463420880952916,
      0.9305115565728528,
      0.914980907539878,
      0.8997424689074389,
      0.8847888429795334,
      0.8701128959170633,
      0.8557077468892543,
      0.8415667571615812,
      0.8276835190506833,
      0.8140518463475098,
      0.8006657642922002,
      0.7875194998713927,
      0.7746074733025354,
      0.7619242892502527,
      0.7494647396643714,
      0.7372238101734119,
      0.725196641266929,
      0.71337851837576,
      0.701764868813254,
      0.6903512571077922,
      0.6791333804439486,
      0.6681070642709157,
      0.6572683191961753,
      0.6466136574513807,
      0.6361397436196661,
      0.6258431557353916,
      0.6157204016115461,
      0.605768008666262,
      0.5959825790890955,
      0.5863607944934558,
      0.5768994172768971,
      0.5675952910992789,
      0.5584453396276802,
      0.5494465650813258,
      0.5405960462769033,
      0.5318909357938969,
      0.5233284583675794,
      0.5149059083726042,
      0.5066206474335648,
      0.4984701024881915,
      0.4904517632013175,
      0.48256318014437,
      0.4748019628669577,
      0.4671657775191533,
      0.459652392483964,
      0.4522602434977551,
      0.44498799493652424,
      0.43783402552571493,
      0.4307965493998403,
      0.42387369170683126,
      0.4170635366061378,
      0.41036415750424365,
      0.40377363592934523,
      0.39729007359991114,
      0.3909115992167627,
      0.3846363968706542,
      0.3784629212917487,
      0.3723897150355553,
      0.3664152288284485,
      0.36053786748585276,
      0.3547560192680596,
      0.3490680735353665,
      0.3434724322832078,
      0.3379675169781312,
      0.3325517981821405,
      0.3272238905197796,
      0.3219824299735354,
      0.31682602423837486,
      0.31175327305964873,
      0.3067627811487521,
      0.30185316595867706,
      0.29702291394530567,
      0.2922704251220716,
      0.28759421145869035,
      0.28299287585529015,
      0.2784650880349593,
      0.2740095692164339,
      0.2696250816089344,
      0.2653103285103685,
      0.261063840057044,
      0.25688423943799654,
      0.25277026357273613,
      0.24872077395693482,
      0.2447350343580889,
      0.2408124188296125,
      0.23695216387640766,
      0.23315342251207094,
      0.22941529887727105,
      0.2257368709901566,
      0.22211720548166022,
      0.2185553673883215,
      0.21505042636355903,
      0.21160146069473368,
      0.2082075600330764,
      0.2048678265046668,
      0.20158135658572815,
      0.198347175960876,
      0.19516432944732576,
      0.19203191467151484,
      0.1889490687108252,
      0.18591495932873986,
      0.18292877897480506,
      0.17998974075167418,
      0.1770970757374804,
      0.17425003113217255,
      0.17144786903188736,
      0.16868986546433784,
      0.16597530944708136,
      0.1633035026771192,
      0.16067375896668995,
      0.15808540386944495,
      0.1555377746428174,
      0.15303021971343114,
      0.15056209846506552,
      0.14813278104335953,
      0.14574164813297788,
      0.1433880907765891,
      0.14107151005128568,
      0.13879131703424452,
      0.13654693256784134,
      0.13433778712357428,
      0.13216332047123405,
      0.1300229817125227,
      0.1279162288913445,
      0.1258425289809068,
      0.12380135780827116,
      0.12179219965692799,
      0.11981454723876854,
      0.11786790142492859,
      0.11595177146057638,
      0.11406567457619324,
      0.11220913575199501,
      0.11038168768473758,
      0.10858287060812712,
      0.10681223232837932,
      0.10506932782024772,
      0.10335371936823508,
      0.10166497624853787,
      0.10000267470142594,
      0.09836639783166702,
      0.09675573543635456,
      0.09517028386821708,
      0.09360964601681172,
      0.09207343117191952,
      0.09056125481324619,
      0.08907273854272445,
      0.0876075101267661,
      0.08616520322912867,
      0.08474545742540238,
      0.0833479180217302,
      0.08197223594781039,
      0.08061806767269686,
      0.07928507517863599,
      0.07797292587165879,
      0.07668129247016929,
      0.07540985279152393,
      0.07415828989117343,
      0.07292629165082938,
      0.07171355115106243,
      0.07051976622255102,
      0.06934463955887753,
      0.06818787856025169,
      0.06704919521391417,
      0.06592830615316209,
      0.06482493244097072,
      0.06373879946209586,
      0.06266963698680453,
      0.061617179193540456,
      0.0605811642846777,
      0.059561334709235164,
      0.058557436949103155,
      0.05756922155291721,
      0.056596442872972066,
      0.055638859217280554,
      0.05469623268882566,
      0.05376832915649129,
      0.052854918287811255,
      0.05195577319238876,
      0.05107067062804254,
      0.0501993908422829,
      0.04934171760534494,
      0.04849743799845606,
      0.047666342446990306,
      0.04684822478866586,
      0.0460428820299257,
      0.04525011432126551,
      0.04446972499215933,
      0.043701520537581855,
      0.042945310438707716,
      0.042200907108929195,
      0.041468125918447625,
      0.040746785201183126,
      0.04003670618711292,
      0.03933771288524989,
      0.03864963194564577,
      0.03797229284945207,
      0.03730552775337671,
      0.0366491713319816,
      0.03600306101431197,
      0.03536703666193663,
      0.03474094061860614,
      0.034124617785779666,
      0.033517915551864466,
      0.03292068357194669,
      0.032332773842742135,
      0.0317540406783079,
      0.031184340815548623,
      0.030623533115561017,
      0.030071478674021865,
      0.02952804082562594,
      0.028993084953611335,
      0.028466478619122344,
      0.027948091418753422,
      0.027437794990217104,
      0.02693546298759326,
      0.026440971007191845,
      0.025954196533616695,
      0.025475019153988816,
      0.0250033202269979,
      0.024538983010284447,
      0.024081892547274338,
      0.023631935579880047,
      0.023189000830604996,
      0.022752978700614355,
      0.02232376126042421,
      0.021901242202886837,
      0.021485316891278985,
      0.02107588239508804,
      0.02067283739839999,
      0.020276082178687652,
      0.01988551862333884,
      0.019501049997864596,
      0.019122581127142397,
      0.01875001833395832,
      0.018383269581102403,
      0.01802224406606585,
      0.017666852463570335,
      0.01731700669606438,
      0.016972620224850098,
      0.016633607920821435,
      0.016299885845414554,
      0.015971371487687354,
      0.015647983529998615,
      0.015329641929990949,
      0.015016267931275046,
      0.014707784066309966,
      0.014404113929103212,
      0.014105182384579874,
      0.013810915515630892,
      0.013521240562203139,
      0.013236085820719874,
      0.012955380782587237,
      0.01267905594674873,
      0.012407042922482778,
      0.012139274485499748,
      0.011875684346157623,
      0.011616207252145688,
      0.011360779031313736,
      0.01110933658197222,
      0.010861817741241812,
      0.010618161286963213,
      0.010378306831169205,
      0.010142195003830021,
      0.009909767493385013,
      0.009680966786136155,
      0.00945573629070651,
      0.009234020223974468,
      0.00901576374212178,
      0.008800912839890509,
      0.008589414418746348,
      0.008381216180148617,
      0.008176266579328531,
      0.007974514985838675,
      0.007775911503770089,
      0.0075804070242781,
      0.007387953096160158,
      0.007198502124028972,
      0.007012007302268518,
      0.006828422539509323,
      0.006647702404995343,
      0.006469802083854074,
      0.006294677665693105,
      0.006122285832138122,
      0.005952583960445314,
      0.005785530032662907,
      0.0056210827631759126,
      0.005459201436668607,
      0.005299846060210032,
      0.005142977155162506,
      0.004988555977723724,
      0.004836544392208389,
      0.004686904644976994,
      0.0045395997888992646,
      0.004394593449357272,
      0.004251849661968468,
      0.004111333132613343,
      0.003973009200462997,
      0.0038368436256403177,
      0.0037028028238482165,
      0.003570853581639165,
      0.0034409632125655346,
      0.0033130996259611066,
      0.0031872310799876775,
      0.0030633264580302486,
      0.0029413552036690336,
      0.002821287111613202,
      0.002703092533578597,
      0.0025867421921217477,
      0.0024722073135372375,
      0.0023594595150029695,
      0.002248470979454772,
      0.0021392143209081633,
      0.0020316624896601796,
      0.0019257888888517538,
      0.0018215672825556215,
      0.00171897185839458,
      0.001617977234336948,
      0.0015185583651518726,
      0.001420690743301499,
      0.0013243502010005636,
      0.001229512936056331,
      0.0011361554884198354,
      0.0010442546544515699,
      0.0009537877903035682,
      0.0008647325511879101,
      0.0007770668672499814,
      0.0006907691369757061,
      0.0006058179386366233,
      0.0005221922452018674,
      0.0004398714628235623,
      0.0003588351017068158,
      0.0002790631728188703,
      0.00020053590581829337,
      0.00012323395149300186,
      4.713817202021274e-05,
      -2.7770300555182318e-05,
      -0.00010150992195268158,
      -0.00017409894198734826,
      -0.00024555530416191153,
      -0.00031589663353427156,
      -0.0003851403441278115,
      -0.00045330367547106033,
      -0.0005204033912464966,
      -0.0005864562141891095,
      -0.0006514783764247198,
      -0.0007154860075944465,
      -0.000778494950108095,
      -0.0008405207322036152,
      -0.0009015786163605371,
      -0.0009616837863385811,
      -0.0010208511968384892,
      -0.0010790953523528185,
      -0.0011364306377403522,
      -0.0011928712664971924,
      -0.0012484312282867488,
      -0.00130312429314227,
      -0.001356963989143069,
      -0.0014099636618364684,
      -0.0014621363740475114,
      -0.0015134950779447463,
      -0.0015640524497733356,
      -0.0016138208439316142,
      -0.0016628126407558076,
      -0.0017110399704782881,
      -0.0017585148054200528,
      -0.001805248892600934,
      -0.00185125376151188,
      -0.0018965407759874773,
      -0.001941121165840964,
      -0.001985005969394168,
      -0.0020282059875471486,
      -0.002070731890000895,
      -0.002112594257074683,
      -0.0021538034939349157,
      -0.0021943697315020376,
      -0.002234302980889404,
      -0.0022736131343782996,
      -0.00231230985801818,
      -0.002350402686820696,
      -0.0023879011002804567,
      -0.0024248144580490323,
      -0.0024611518519314715,
      -0.002496922332594352,
      -0.002532134665152527,
      -0.0025667974971248166
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33502349077564,
      10.09457366224883,
      9.84830536472296,
      9.598922471497279,
      9.348789000219147,
      9.09995538478544,
      8.854129881032813,
      8.612665561494678,
      8.376561798134995,
      8.14648178192182,
      7.922784533348997,
      7.705563822857141,
      7.494696263418543,
      7.289892007423322,
      7.090744023145916,
      6.896773639069386,
      6.707467728372765,
      6.522310892281976,
      6.340811452335396,
      6.1625182652347155,
      5.987033590840145,
      5.814011105692114,
      5.64317333717566,
      5.474325408173265,
      5.307349822604318,
      5.14220725912948,
      4.978932093800168,
      4.817628567626264,
      4.6584722873539635,
      4.501732988836161,
      4.34774600007786,
      4.196871366742259,
      4.049490512065194,
      3.905995657600198,
      3.7667750788346726,
      3.632189000206588,
      3.5025576706054635,
      3.3781532773142398,
      3.2591942621564858,
      3.1458420956627973,
      3.03819863077617,
      2.9362942622965296,
      2.8400875602745335,
      2.7494563430193733,
      2.664218717694534,
      2.5841499915249284,
      2.509006464917684,
      2.4385327253987144,
      2.3724662858949452,
      2.310532121589615,
      2.2524299898686753,
      2.197803866862072,
      2.1462796310328525,
      2.097507431775812,
      2.051157891180518,
      2.006926324174883,
      1.9645595766993942,
      1.923848129252788,
      1.8846174286465436,
      1.8467288671584083,
      1.8100685628494297,
      1.774536268195895,
      1.740045357183474,
      1.70652553081295,
      1.6739182971086064,
      1.6421738329316464,
      1.611248783363917,
      1.5811047151361841,
      1.5517070207694466,
      1.5230241380451621,
      1.4950269871015782,
      1.4676876181717429,
      1.4409783234912001,
      1.4148741214767355,
      1.389352229493456,
      1.3643924356247235,
      1.3399778667580038,
      1.3160932182624487,
      1.2927234517940123,
      1.2698558084219589,
      1.2474776320987218,
      1.2255756814705194,
      1.2041365495624765,
      1.1831469546788158,
      1.1625938595552043,
      1.1424646088603638,
      1.122747842975203,
      1.103432969214894,
      1.0845098038159628,
      1.0659683770522885,
      1.0477986787845277,
      1.0299908095355825,
      1.0125350723090578,
      0.9954220265291318,
      0.9786425173713315,
      0.9621876895399997,
      0.9460489911596759,
      0.9302181705672862,
      0.9146872698391861,
      0.8994486160683322,
      0.8844948112390574,
      0.8698187211236025,
      0.8554134641209001,
      0.8412724007932653,
      0.8273891231686253,
      0.813757444698096,
      0.8003713901216126,
      0.7872251858581097,
      0.7743132518889384,
      0.7616301920502271,
      0.7491708087934509,
      0.7369300877482334,
      0.7249031648294313,
      0.7130853223763326,
      0.7014719850867304,
      0.6900587154375978,
      0.6788412091382431,
      0.6678152908050546,
      0.656977029668162,
      0.646323017557607,
      0.6358498657877083,
      0.6255541179919674,
      0.615432258921985,
      0.6054808017563674,
      0.595696339730696,
      0.5860755484407283,
      0.5766151863634768,
      0.5673120942475758,
      0.5581631938936621,
      0.549165486101145,
      0.5403160483727835,
      0.5316120329591661,
      0.5230506639222179,
      0.5146292349666554,
      0.5063451073988374,
      0.4981957076237704,
      0.49017852485693236,
      0.4822911093735925,
      0.47453107016703955,
      0.46689607314924986,
      0.4593839324268229,
      0.45199314502746557,
      0.44472233362459396,
      0.4375698501623191,
      0.43053389184404817,
      0.42361257285737114,
      0.41680396998889324,
      0.4101061517614964,
      0.40351719675320064,
      0.3970352043534138,
      0.3906583020008436,
      0.38438468622156297,
      0.3782128287269112,
      0.372141259520757,
      0.36616842135157807,
      0.3602927139154196,
      0.3545125219683861,
      0.3488262325843866,
      0.34323224641143585,
      0.33772898393997747,
      0.3323149207152962,
      0.3269886786514096,
      0.32174888800031537,
      0.3165941527373573,
      0.3115230703465746,
      0.30653424388583594,
      0.3016262899704244,
      0.2967976983228506,
      0.29204686875555447,
      0.28737231146351,
      0.2827726279856111,
      0.27824648736990154,
      0.27379261021859974,
      0.26940975840747083,
      0.2650966945102845,
      0.2608519987367362,
      0.25667425462671134,
      0.2525621733833243,
      0.24851460772269168,
      0.2445308216969425,
      0.2406101748440382,
      0.2367518942262449,
      0.23295512645020255,
      0.2292189714454956,
      0.2255425043326883,
      0.22192478991750644,
      0.21836489209333376,
      0.21486187981825908,
      0.21141483068270325,
      0.20802283381379497,
      0.20468499125011103,
      0.2014003972849042,
      0.19816807454613675,
      0.19498706962299345,
      0.19185648127586838,
      0.18877544736228002,
      0.18574313616292598,
      0.18275874042099916,
      0.1798214734747414,
      0.17693056660532377,
      0.17408526717069003,
      0.171284837316052,
      0.1685285530850082,
      0.16581570354061825,
      0.1631455904292493,
      0.16051752756517745,
      0.1579308406468185,
      0.15538486687535172,
      0.1528789546678055,
      0.15041246331693617,
      0.14798476304960506,
      0.14559523468283023,
      0.14324326916292193,
      0.1409282676037189,
      0.13864964104189328,
      0.13640681045621178,
      0.13419920630034618,
      0.13202626841359075,
      0.12988744580634856,
      0.1277821966766182,
      0.1257099880918201,
      0.12367029578027339,
      0.12166260415262935,
      0.11968640591138155,
      0.11774120213147221,
      0.11582650205553979,
      0.11394182279401774,
      0.11208668945134015,
      0.11026063480064036,
      0.10846319902760823,
      0.10669392993740202,
      0.10495238267771301,
      0.1032381195433669,
      0.10155070994426928,
      0.09988973006642535,
      0.09825476307091983,
      0.09664539877556984,
      0.09506123371540144,
      0.09350187075506076,
      0.09196691920660877,
      0.09045599467660989,
      0.08896871880767965,
      0.08750471935254593,
      0.08606363010742929,
      0.0846450906307838,
      0.08324874626868128,
      0.08187424804461167,
      0.08052125263609808,
      0.07918942202780044,
      0.07787842362565775,
      0.0765879301549778,
      0.07531761960929372,
      0.07406717507165889,
      0.07283628461483799,
      0.07162464129270345,
      0.07043194303823819,
      0.06925789255043721,
      0.06810219728146079,
      0.06696456928831625,
      0.06584472525097335,
      0.06474238629416336,
      0.06365727786358986,
      0.06258912979945308,
      0.06153767638177023,
      0.060502655870057036,
      0.059483810827822683,
      0.05848088778846166,
      0.05749363736249834,
      0.05652181400009253,
      0.055565176016055186,
      0.05462348560749079,
      0.053696508700715774,
      0.05278401499080977,
      0.05188577771214561,
      0.05100157366053154,
      0.05013118321937624,
      0.049274390087872565,
      0.04843098153010422,
      0.047600748068464614,
      0.0467834835236685,
      0.045978984996827565,
      0.04518705275938383,
      0.04440749018653683,
      0.04364010380768125,
      0.04288470321280307,
      0.042141100945305716,
      0.041409112507610084,
      0.04068855619680736,
      0.03997925326614689,
      0.03928102770285294,
      0.03859370630969843,
      0.03791711868858847,
      0.037251096958509464,
      0.03659547603975082,
      0.03595009333486489,
      0.03531478877211488,
      0.0346894047763679,
      0.034073786309408445,
      0.033467780745658385,
      0.0328712378680336,
      0.032284009784346965,
      0.03170595088435443,
      0.031136917932806683,
      0.030576769898148892,
      0.030025367923326995,
      0.02948257535604078,
      0.028948257742548715,
      0.02842228256327679,
      0.027904519433757373,
      0.027394840180091414,
      0.026893118541534373,
      0.02639923017292779,
      0.02591305272470396,
      0.025434465733377144,
      0.024963350557298286,
      0.024499590485107945,
      0.024043070660798305,
      0.023593678022369842,
      0.023151301215650594,
      0.022715830692795355,
      0.022287158626978,
      0.02186517878439244,
      0.021449786611041292,
      0.02104087932120116,
      0.02063835564438972,
      0.02024211581669643,
      0.01985206170548142,
      0.0194680967175172,
      0.01909012577063766,
      0.01871805528378308,
      0.018351793090309265,
      0.017991248553873435,
      0.017636332359751507,
      0.01728695666099265,
      0.016943034937735437,
      0.016604482065386957,
      0.016271214088827174,
      0.015943148523402995,
      0.015620204107824304,
      0.01530230089275294,
      0.014989360188275997,
      0.014681304388938676,
      0.014378057267474027,
      0.014079543962123003,
      0.013785690505139543,
      0.013496424092474622,
      0.013211673020844908,
      0.012931366921903867,
      0.01265543632732769,
      0.012383812917980516,
      0.012116429427541016,
      0.011853219639743754,
      0.011594118491035579,
      0.011339061898271796,
      0.01108798665350223,
      0.01084083057690999,
      0.010597532470049636,
      0.010358032238301111,
      0.010122270559697673,
      0.009890189008663442,
      0.009661730125573814,
      0.00943683730593204,
      0.009215454953425722,
      0.008997528312787544,
      0.00878300335046099,
      0.00857182689246325,
      0.008363946720906757,
      0.00815931137556589,
      0.007957870295472137,
      0.007759573576035225,
      0.007564372065677359,
      0.007372217529293631,
      0.007183062338228566,
      0.006996859696627864,
      0.006813563559616618,
      0.006633128560789483,
      0.006455509935964641,
      0.006280663767461709,
      0.006108546856019015,
      0.005939116551314037,
      0.005772330877213828,
      0.005608148608910024,
      0.005446529021860618,
      0.005287432094674554,
      0.005130818466525919,
      0.0049766493842661715,
      0.004824886741355175,
      0.004675493023673648,
      0.004528431219430848,
      0.00438366492846122,
      0.0042411583337106365,
      0.004100876111693623,
      0.003962783643691634,
      0.0038268466251815607,
      0.0036930314722168466,
      0.0035613050557715678,
      0.0034316346863673356,
      0.0033039883355242567,
      0.0031783343891409323,
      0.0030546417397268886,
      0.0029328798678296855,
      0.0028130185950831256,
      0.0026950282074119677,
      0.0025788794910608617,
      0.0024645437387348116,
      0.002351992706928631,
      0.002241198447749033,
      0.002132133600129972,
      0.002024771142223914,
      0.0019190843872478123,
      0.0018150472857964362,
      0.001712634101023901,
      0.0016118195747584518,
      0.0015125786628115544,
      0.001414886773908822,
      0.001318719781312392,
      0.0012240538516814085,
      0.0011308656059924459,
      0.0010391320025086696,
      0.0009488302778022065,
      0.000859938067441103,
      0.0007724333437548395,
      0.0006862944438019956,
      0.0006014999778686253,
      0.0005180289744741304,
      0.0004358609509054211,
      0.00035497545090883295,
      0.00027535251802456587,
      0.00019697243885661962,
      0.00011981591401597596,
      4.386370240220359e-05,
      -3.090308545905307e-05,
      -0.00010450284520961808,
      -0.00017695376732049684,
      -0.00024827390196058004,
      -0.000318480867382389,
      -0.00038759194447981945,
      -0.00045562424008664437,
      -0.000522594639590126,
      -0.0005885196697782892,
      -0.0006534156143848677,
      -0.0007172985400803886,
      -0.0007801843849149793,
      -0.0008420886964178214,
      -0.0009030268135425713,
      -0.0009630138124315706,
      -0.0010220644828586815,
      -0.0010801934372185423,
      -0.0011374149896465618,
      -0.0011937433905890168,
      -0.0012491925007460478,
      -0.0013037761002371682,
      -0.00135750776449189,
      -0.0014104007457073303,
      -0.0014624680695214905,
      -0.0015137227578663722,
      -0.0015641774537506145,
      -0.001613844611133712,
      -0.0016627364545272886,
      -0.0017108651098147753,
      -0.0017582425436474486,
      -0.0018048804958993095,
      -0.0018507904875839987,
      -0.0018959837454002,
      -0.0019404714937281005,
      -0.001984264858822466,
      -0.002027374746898223,
      -0.0020698117473223394,
      -0.0021115864284850933,
      -0.002152709042086397,
      -0.0021931897161958386,
      -0.0022330384885673477,
      -0.002272265295169604,
      -0.002310879875567403,
      -0.0023488917985387946,
      -0.002386310327776596,
      -0.0024231447318854736,
      -0.00245940416166233,
      -0.002495097673331689,
      -0.0025302341368815266,
      -0.00256482211827217
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335020094970604,
      10.094561395311505,
      9.848278114652778,
      9.598875850649598,
      9.348719941115995,
      9.09986187556011,
      8.854010721072036,
      8.612520150429328,
      8.37638995488067,
      8.146283728681764,
      7.922560690502133,
      7.705314637916011,
      7.494422158105231,
      7.28959334963646,
      7.090421112227308,
      6.896426712100852,
      6.707097011396328,
      6.521916634413081,
      6.340393992276897,
      6.162078085707542,
      5.986571356634514,
      5.813527753339087,
      5.642670012630504,
      5.4738034786770235,
      5.306810907550702,
      5.141653179553404,
      4.978364824414075,
      4.81705037604187,
      4.657885859764465,
      4.501141699536111,
      4.347153369664961,
      4.1962809257907825,
      4.048905739338692,
      3.9054200496345706,
      3.766211987702948,
      3.631641483311664,
      3.502028441685085,
      3.377644669699831,
      3.258708203484817,
      3.145380097741024,
      3.0377617215825308,
      2.9358829356064917,
      2.8397018207655167,
      2.7490955442447422,
      2.663881521708561,
      2.5838346867363224,
      2.5087112007453207,
      2.4382556353487344,
      2.3722053490925488,
      2.3102851879702926,
      2.252194955068558,
      2.197578209743762,
      2.1460609334364262,
      2.0972935021430708,
      2.050946772141857,
      2.006716215615988,
      1.9643490840680982,
      1.923636217247826,
      1.8844033580060948,
      1.8465121157511928,
      1.8098487338459979,
      1.7743130472488096,
      1.7398185507781738,
      1.706295029954265,
      1.673684052144977,
      1.6419358356628089,
      1.6110070546391309,
      1.5808592956775442,
      1.5514579646747304,
      1.522771507604287,
      1.4947708506084063,
      1.4674280755030729,
      1.4407155000020417,
      1.4146081339302488,
      1.3890831883055508,
      1.364120528789797,
      1.3397033759967274,
      1.3158163511035212,
      1.292444471605118,
      1.269575089368013,
      1.2471954353416588,
      1.225292194548284,
      1.2038519047174017,
      1.1828612415500568,
      1.1623071526413375,
      1.1421769826049015,
      1.1224593796434557,
      1.1031437426700343,
      1.0842198865442245,
      1.0656778303463912,
      1.0475075563935627,
      1.0296991605876764,
      1.012242942188287,
      0.9951294578940247,
      0.978349551213461,
      0.9618943657769853,
      0.9457553484560207,
      0.9299242470120134,
      0.9143931029538177,
      0.8991542426545536,
      0.8842002675742984,
      0.8695240427411214,
      0.8551186861918167,
      0.840977557992062,
      0.8270942498866689,
      0.8134625743332211,
      0.8000765556298973,
      0.7869304200434456,
      0.7740185866164196,
      0.7613356638851079,
      0.7488764620303567,
      0.736635962161867,
      0.7246092961296114,
      0.7127917433566178,
      0.7011787264785662,
      0.6897658067256526,
      0.678548678730228,
      0.6675231659626114,
      0.6566854472200712,
      0.646032123832521,
      0.6355597615600684,
      0.6252648734587757,
      0.6151439238997296,
      0.605193414105669,
      0.5954099290309247,
      0.5857901389710295,
      0.5763307988645863,
      0.5670287471828275,
      0.5578809039067336,
      0.548884268564279,
      0.5400359177200031,
      0.531333002782259,
      0.5227727472861848,
      0.514352444819612,
      0.5060694559074344,
      0.4979212061871402,
      0.48990518467231,
      0.48201894151276337,
      0.4742600853163233,
      0.4666262816995895,
      0.4591153901560746,
      0.45172596932943154,
      0.44445659980265884,
      0.43730560719041667,
      0.43027117140288035,
      0.42335139548285655,
      0.4165443491674633,
      0.40984809631732033,
      0.4032607124004335,
      0.39678029485216815,
      0.3904049694876259,
      0.3841329449322478,
      0.3779627101013407,
      0.3718927824661935,
      0.36592159668933505,
      0.36004754739098166,
      0.35426901587892334,
      0.34858438699644284,
      0.3429920598708997,
      0.3374904540205938,
      0.3320780501177568,
      0.32675347708923363,
      0.32151535978962725,
      0.31636229864225907,
      0.31129288872026134,
      0.30630573162206315,
      0.30139944263257573,
      0.2965725148715396,
      0.2918233479018181,
      0.28715045029800584,
      0.2825524225063162,
      0.2780279326990223,
      0.2735757007755101,
      0.269194488255088,
      0.26488309112793834,
      0.26064016352600045,
      0.2564642615571784,
      0.2523540671193637,
      0.2483084220347783,
      0.2443265891788576,
      0.24040791244194906,
      0.2365516085472662,
      0.23275681732316783,
      0.22902263423358243,
      0.22534813159177514,
      0.22173237226620374,
      0.21817441878197752,
      0.21467333913873163,
      0.21122821047509843,
      0.2078381215500219,
      0.20450217408976426,
      0.20121945992904758,
      0.19798899878239273,
      0.194809839140429,
      0.19168108098920947,
      0.1886018628926998,
      0.1855713535751963,
      0.18258874620314283,
      0.1796532543149196,
      0.1767641093976193,
      0.1739205589381583,
      0.17112186512714073,
      0.16836730386763296,
      0.16565616436597821,
      0.16298774829261833,
      0.16036136958559583,
      0.1577763540569334,
      0.15523203889043963,
      0.15272777237270296,
      0.15026291396572908,
      0.14783683392634708,
      0.1454489129175805,
      0.14309854206822914,
      0.14078512252775244,
      0.13850806546308395,
      0.13626679173437145,
      0.13406073188514847,
      0.13188932571556905,
      0.12975202230280636,
      0.12764827980768048,
      0.12557756526407793,
      0.12353935450976233,
      0.1215331319598949,
      0.11955839045159819,
      0.11761463110212413,
      0.11570136310404026,
      0.11381810371757065,
      0.11196437806611394,
      0.11013971891905919,
      0.10834366664516919,
      0.10657576901920728,
      0.10483558127582568,
      0.10312266572918903,
      0.10143659176676323,
      0.0997769356433723,
      0.0981432806231223,
      0.09653521655929732,
      0.09495233997407086,
      0.09339425378524643,
      0.09186056735395266,
      0.09035089640186383,
      0.08886486267011466,
      0.08740209397506883,
      0.08596222421750618,
      0.08454489297472688,
      0.08314974567854656,
      0.08177643334618406,
      0.08042461262378228,
      0.07909394566481263,
      0.07778409998092313,
      0.07649474834026276,
      0.07522556870051503,
      0.07397624431953308,
      0.07274646324241764,
      0.07153591860141262,
      0.07034430847902765,
      0.0691713356397224,
      0.06801670748540929,
      0.06688013610723649,
      0.0657613383100707,
      0.06466003532323727,
      0.06357595275373353,
      0.06250882045980352,
      0.06145837271066944,
      0.060424347926765466,
      0.059406488619623755,
      0.05840454148094254,
      0.05741825710502051,
      0.05644739017465886,
      0.05549169899695631,
      0.05455094580706404,
      0.05362489662502188,
      0.052713321222365946,
      0.051815992870553065,
      0.050932688442930564,
      0.050063188297871326,
      0.04920727632803397,
      0.048364739828617755,
      0.047535369381804665,
      0.046718958928600535,
      0.04591530560525567,
      0.04512420974110822,
      0.04434547490064535,
      0.04357890770877028,
      0.042824317646235094,
      0.04208151730129216,
      0.04135032230243263,
      0.04063055112271721,
      0.039922024996974836,
      0.039224567941241774,
      0.03853800695846672,
      0.03786217164438502,
      0.03719689424592907,
      0.03654200961169545,
      0.03589735525744914,
      0.03526277119718588,
      0.03463809998403922,
      0.03402318661769909,
      0.03341787858231214,
      0.03282202565214829,
      0.032235479998593,
      0.03165809605834481,
      0.031089730690453562,
      0.030530242877921575,
      0.02997949387695679,
      0.02943734708824087,
      0.028903668095872203,
      0.02837832460646309,
      0.027861186313664188,
      0.027352124980622217,
      0.026851014352069585,
      0.026357730150352,
      0.025872150092229197,
      0.025394153792000558,
      0.0249236226534636,
      0.024460440220063794,
      0.024004491573042915,
      0.023555663632263024,
      0.023113845203613276,
      0.022678926785640943,
      0.02225080057970093,
      0.02182936046238355,
      0.021414502028131735,
      0.02100612234571981,
      0.020604120172471808,
      0.020208395971110137,
      0.019818851653477434,
      0.019435390686308177,
      0.019057918094684354,
      0.018686340198126882,
      0.01832056493064339,
      0.01796050170897171,
      0.017606061306796095,
      0.017257155886667794,
      0.016913698942049422,
      0.016575605365462723,
      0.016242791413841988,
      0.01591517455846569,
      0.01559267373413091,
      0.015275209021059643,
      0.01496270173271835,
      0.014655074399676843,
      0.014352250739545996,
      0.014054155854146143,
      0.013760715910249372,
      0.01347185816819048,
      0.013187511065541781,
      0.012907604203834494,
      0.012632068174117132,
      0.01236083462818139,
      0.01209383653225739,
      0.011831007668634,
      0.011572282961496072,
      0.011317598221237344,
      0.011066890407431793,
      0.010820097406854363,
      0.010577158002114756,
      0.010338012100765707,
      0.010102600436021392,
      0.009870864722031894,
      0.009642747584454036,
      0.009418192437023782,
      0.009197143723982275,
      0.00897954671490231,
      0.008765347378870634,
      0.008554492662311907,
      0.008346930401713396,
      0.00814260922072822,
      0.007941478532193867,
      0.007743488473158813,
      0.007548589989028471,
      0.0073567347811565225,
      0.007167875339952635,
      0.006981964847383163,
      0.006798957235017514,
      0.0066188072131839,
      0.006441470156900072,
      0.006266902140420959,
      0.0060950599814656205,
      0.0059259010905674345,
      0.005759383552108294,
      0.005595466106067682,
      0.00543410815155712,
      0.005275269797427274,
      0.005118911635522893,
      0.004964994967927557,
      0.004813481629410564,
      0.004664334098593255,
      0.004517515395108051,
      0.004372989144403274,
      0.004230719574915062,
      0.004090671562152774,
      0.003952810382633826,
      0.0038171018511976816,
      0.0036835123076165857,
      0.003552008675259738,
      0.003422558439605158,
      0.003295129443997328,
      0.0031696902152298285,
      0.0030462097063026217,
      0.002924657270196996,
      0.0028050028065271806,
      0.0026872166878917376,
      0.0025712697327310483,
      0.0024571332753303104,
      0.00234477900851559,
      0.0022341791398932686,
      0.002125306180916353,
      0.0020181331316484513,
      0.0019126335527794229,
      0.001808781277394999,
      0.0017065506200105596,
      0.001605916173812883,
      0.0015068530800030143,
      0.0014093367457403963,
      0.001313343097344269,
      0.0012188484349682789,
      0.0011258292442145794,
      0.0010342624600080676,
      0.0009441254268314123,
      0.0008553957907228232,
      0.0007680516216052985,
      0.000682071282521034,
      0.0005974333764579276,
      0.0005141170314276747,
      0.0004321015958022589,
      0.00035136684983633296,
      0.0002718927354545497,
      0.00019365969742008446,
      0.00011664825665522818,
      4.08393153834341e-05,
      -3.378594952849301e-05,
      -0.00010724601422878775,
      -0.000179559093229132,
      -0.0002507429945594359,
      -0.000320815348626265,
      -0.00038979360119680814,
      -0.00045769485926807697,
      -0.0005245358882048545,
      -0.000590333177526817,
      -0.0006551030820067298,
      -0.0007188617014503183,
      -0.0007816247338632006,
      -0.0008434077471731756,
      -0.0009042260366902538,
      -0.0009640946724851592,
      -0.0010230284884927762,
      -0.0010810420835896289,
      -0.001138149796215424,
      -0.0011943656905341073,
      -0.001249703834565065,
      -0.0013041779861860674,
      -0.0013578016027839912,
      -0.0014105878685768203,
      -0.0014625499309629914,
      -0.0015137006466804338,
      -0.0015640527658603025,
      -0.0016136186704727735,
      -0.0016624107155460463,
      -0.0017104408894635917,
      -0.001757721033066368,
      -0.0018042629368777356,
      -0.0018500781583095616,
      -0.0018951779590849589,
      -0.001939573489235115,
      -0.0019832758245565043,
      -0.0020262957303278342,
      -0.0020686438433707593,
      -0.002110330643864414,
      -0.0021513665347593566,
      -0.0021917617552872997,
      -0.0022315262493588957,
      -0.002270669901955606,
      -0.002309202336152917,
      -0.0023471331162744314,
      -0.002384471549960177,
      -0.0024212269794769456,
      -0.002457408519018383,
      -0.0024930250972258474,
      -0.0025280854792459335,
      -0.0025625984412124977
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33501669601293,
      10.094549114296564,
      9.84825082876861,
      9.5988291636978,
      9.348650779540812,
      9.099768220937959,
      8.853891370110935,
      8.612374503378682,
      8.376217830435538,
      8.146085354317533,
      7.922336485738718,
      7.705065051000843,
      7.49414761040943,
      7.289294208653951,
      7.090097678482899,
      6.8960792225666125,
      6.706725692815135,
      6.521521737425601,
      6.339975856117418,
      6.161637194435668,
      5.986108375217272,
      5.81304362120238,
      5.642165878105919,
      5.473280711891758,
      5.306271131092528,
      5.1410982296937595,
      4.977796677779452,
      4.816471302694691,
      4.65729859343033,
      4.500549656507272,
      4.346560063435447,
      4.195689879901497,
      4.048320425546383,
      3.9048439595076623,
      3.7656484678438034,
      3.6310935855820072,
      3.501498874673401,
      3.377135761347852,
      3.258221877525189,
      3.1449178625548146,
      3.037324600286339,
      2.935471417438868,
      2.839315906225675,
      2.748734582893909,
      2.6635441721825317,
      2.583519233757484,
      2.5084157905114113,
      2.437978398727266,
      2.371944263571117,
      2.3100381023952683,
      2.2519597642327325,
      2.1973523932052927,
      2.1458420737107353,
      2.097079408966695,
      2.0507354715878567,
      2.0065059122007045,
      1.9641383867611628,
      1.9234240943022372,
      1.8841890727723614,
      1.8462951482716774,
      1.8096286891753646,
      1.774089612327092,
      1.73959153293357,
      1.7060643214036484,
      1.6734496040557305,
      1.6416976405160966,
      1.6107651336262907,
      1.5806136892710336,
      1.5512087262347234,
      1.5225187001807456,
      1.4945145427203201,
      1.4671683676349756,
      1.4404525178403533,
      1.4143419950076919,
      1.3888140025187634,
      1.3638484841072054,
      1.3394287546088097,
      1.3155393609476258,
      1.2921654088578647,
      1.2692943159565677,
      1.2469132047956024,
      1.2250086891843086,
      1.2035672593554039,
      1.182575547465195,
      1.162020479434986,
      1.1418894015778713,
      1.1221709709069858,
      1.1028545789705189,
      1.0839300388632473,
      1.0653873593548575,
      1.0472165160506322,
      1.0294075995383218,
      1.0119509055557003,
      0.9948369888068196,
      0.9780566908997146,
      0.9616011541069434,
      0.9454618243236264,
      0.9296304483006838,
      0.9140990669519711,
      0.8988600062594905,
      0.883905866724842,
      0.8692295129609594,
      0.8548240625140324,
      0.8406828749261139,
      0.8267995413772427,
      0.8131678742191506,
      0.7997818971800841,
      0.7866358358661054,
      0.7737241087880223,
      0.7610413324395209,
      0.7485823207971001,
      0.7363420495704994,
      0.7243156471112058,
      0.712498390337627,
      0.7008857001824541,
      0.6894731363529488,
      0.6782563925092211,
      0.6672312914104973,
      0.6563941251146338,
      0.6457414999118342,
      0.6352699358193638,
      0.6249759156595124,
      0.614855883510219,
      0.604906328445418,
      0.5951238276307279,
      0.5855050460953775,
      0.5760467351719559,
      0.5667457309354507,
      0.5575989517841764,
      0.5486033959571719,
      0.5397561390637884,
      0.5310543318814323,
      0.5224951974020657,
      0.5140760283174883,
      0.5057941847855464,
      0.4976470925228668,
      0.4896322398668928,
      0.48174717636847425,
      0.47398951023373087,
      0.4663569066899785,
      0.4588472708533617,
      0.4514592228367353,
      0.44419130134177665,
      0.437041805505565,
      0.4300088982289268,
      0.4230906714392802,
      0.4162851875742487,
      0.40959050581023104,
      0.4030046983302228,
      0.3965258606932097,
      0.39015211731976707,
      0.383881689062156,
      0.37771308193804,
      0.3716448008096347,
      0.3656752724307635,
      0.3598028861927946,
      0.3540260201962997,
      0.3483430570661976,
      0.3427523942567899,
      0.3372524502383171,
      0.3318417151876455,
      0.32651881919226744,
      0.3212823819245415,
      0.31613100080799283,
      0.3110632688121365,
      0.30607778584710416,
      0.3011731670736421,
      0.29634790867722843,
      0.2916004095771718,
      0.2869291766504797,
      0.28233280924902104,
      0.27780997483145836,
      0.2733593929214241,
      0.268979824449933,
      0.26467006506011204,
      0.26042886104267965,
      0.2562547745151704,
      0.25214645199452,
      0.2481027202093592,
      0.2441228380103912,
      0.24020613206951524,
      0.23635180772079387,
      0.2325589973923672,
      0.2288267915805031,
      0.2251542592039274,
      0.2215404609263025,
      0.21798445790465307,
      0.21448531712988678,
      0.2110421150989708,
      0.2076539402545248,
      0.2043198939731502,
      0.2010390657585657,
      0.19781047237395558,
      0.19463316408499126,
      0.19150624200155,
      0.18842884550798955,
      0.1854001437840245,
      0.18241933030345847,
      0.17948561891711443,
      0.17659824116286982,
      0.17375644458957742,
      0.1709594915685677,
      0.16820665818158412,
      0.16549723350614695,
      0.1628305193796666,
      0.16020582972566455,
      0.15762249027428407,
      0.1550798383005366,
      0.1525772221643574,
      0.15011400136401817,
      0.1476895460660575,
      0.14530323697641082,
      0.1429544652472104,
      0.14064263210122863,
      0.1383671487012245,
      0.13612743597168153,
      0.133922924353245,
      0.13175305383972633,
      0.12961727342629883,
      0.12751504129698069,
      0.12544582469663715,
      0.12340909937239115,
      0.12140434978552109,
      0.1194310687585246,
      0.11748875754939546,
      0.11557692540491102,
      0.11369508963619651,
      0.11184277529929355,
      0.11001951519375293,
      0.10822484974618668,
      0.10645832688031771,
      0.10471950177213332,
      0.1030079368319298,
      0.1013232014688412,
      0.09966487210801789,
      0.09803253196977804,
      0.09642577093595789,
      0.09484418561657205,
      0.09328737908308674,
      0.09175496075752315,
      0.09024654627886132,
      0.08876175747984456,
      0.08730022233433347,
      0.0858615746333892,
      0.08444545415224945,
      0.08305150633626004,
      0.08167938227322599,
      0.08032873865423779,
      0.0789992377097583,
      0.07769054691737698,
      0.07640233918608832,
      0.07513429259579227,
      0.07388609039694105,
      0.07265742076812592,
      0.0714479768393404,
      0.07025745667605503,
      0.06908556319844222,
      0.06793200395276588,
      0.06679649114783501,
      0.06567874156221208,
      0.06457847645542952,
      0.0634954215207973,
      0.062429306778648656,
      0.06137986648517609,
      0.060346839133496574,
      0.0593299673430249,
      0.05832899778306004,
      0.05734368120096274,
      0.05637377223586906,
      0.05541902933024983,
      0.054479214852439034,
      0.05355409487142112,
      0.05264343916795394,
      0.051747021107175245,
      0.05086461763903213,
      0.0499960092295125,
      0.04914097977977931,
      0.0482993167107111,
      0.047470810774770666,
      0.04665525581669624,
      0.04585244915017796,
      0.045062191165234404,
      0.04428428544361443,
      0.043518538593575094,
      0.04276476028386993,
      0.042022763152578434,
      0.04129236279732436,
      0.04057337777650059,
      0.039865629542789084,
      0.03916894218681685,
      0.038483142655671106,
      0.03780806062908541,
      0.03714352836804984,
      0.036489380853056065,
      0.035845455786582374,
      0.03521159316072139,
      0.03458763551749646,
      0.033973428044065945,
      0.03336881814678488,
      0.03277365573360323,
      0.03218779306715572,
      0.03161108467152584,
      0.031043387496019637,
      0.03048456060434925,
      0.02993446529867,
      0.029392965099343606,
      0.028859925529641894,
      0.0283352143156024,
      0.027818701250612362,
      0.027310258214629977,
      0.026809759035546082,
      0.026317079619627485,
      0.025832097631356462,
      0.02535469274677589,
      0.024884746468784472,
      0.024422142242666967,
      0.02396676533722531,
      0.023518502764667822,
      0.023077243417413986,
      0.022642877785846546,
      0.022215298076742426,
      0.0217943982175706,
      0.021380073797477382,
      0.02097222202085375,
      0.02057074180759926,
      0.02017553346707223,
      0.01978649914753227,
      0.01940354239553864,
      0.019026568159670378,
      0.018655482946338477,
      0.01829019480339524,
      0.0179306131505813,
      0.017576648736390053,
      0.017228213784514803,
      0.016885221878806,
      0.01654758805732747,
      0.01621522854276464,
      0.01588806088497498,
      0.015566003943038436,
      0.015248977980778629,
      0.014936904392237152,
      0.014629705705290647,
      0.014327305742256853,
      0.014029629651944224,
      0.013736603578129782,
      0.013448154847009341,
      0.013164211923949802,
      0.0128847044064995,
      0.012609562996240716,
      0.012338719488039709,
      0.01207210675060168,
      0.011809658698473453,
      0.011551310293691934,
      0.011296997519679657,
      0.011046657250910795,
      0.010800227457183863,
      0.010557647087382365,
      0.01031885596993143,
      0.010083794850121853,
      0.009852405469644613,
      0.00962463042684424,
      0.00940041330792069,
      0.009179698529118204,
      0.008962431443066464,
      0.0087485581625275,
      0.008538025641575967,
      0.008330781664855243,
      0.008126774890494572,
      0.007925954737775678,
      0.007728271481352501,
      0.00753367610067422,
      0.007342120271929738,
      0.007153556636651402,
      0.006967938481949718,
      0.006785219805747947,
      0.006605355224883408,
      0.006428300185392284,
      0.006254010774597451,
      0.006082443746104951,
      0.005913556591912993,
      0.005747307394440697,
      0.005583655056578119,
      0.005422559013183491,
      0.005263979326208415,
      0.005107876642505279,
      0.004954212325651942,
      0.004802948285085039,
      0.00465404698579233,
      0.004507471504411578,
      0.004363185575210381,
      0.004221153447792067,
      0.004081339873877308,
      0.003943710197932021,
      0.0038082303549025827,
      0.0036748667173279325,
      0.0035435861730830826,
      0.0034143562119012334,
      0.0032871448359590803,
      0.0031619204594384945,
      0.003038651988347552,
      0.0029173089019484174,
      0.0027978611965559655,
      0.0026802792804836995,
      0.002564533991485811,
      0.0024505966794143826,
      0.0023384390938161227,
      0.002228033387542291,
      0.002119352191820879,
      0.002012368528043718,
      0.0019070559052722692,
      0.0018033882798699304,
      0.0017013399660478134,
      0.0016008856558685372,
      0.0015020004535606598,
      0.001404659828561467,
      0.0013088396464450039,
      0.0012145161759669514,
      0.001121666091331828,
      0.0010302663043129144,
      0.0009402941408143162,
      0.0008517273153060741,
      0.0007645439007696226,
      0.00067872233788927,
      0.000594241350481545,
      0.000511080002018114,
      0.0004292175814292365,
      0.0003486338146444631,
      0.0002693087273752972,
      0.00019122265610333156,
      0.00011435632342725292,
      3.8690647863253466e-05,
      -3.57931846816454e-05,
      -0.00010911361042518637,
      -0.00018128863272979558,
      -0.0002523362745864614,
      -0.00032227424213104964,
      -0.00039111977799116833,
      -0.00045888993870901805,
      -0.0005256014457049131,
      -0.0005912709161184665,
      -0.0006559146735656152,
      -0.0007195487424223826,
      -0.0007821888407279818,
      -0.0008438505244485601,
      -0.0009045490896903883,
      -0.0009642995880698686,
      -0.0010231167968541195,
      -0.0010810153342007442,
      -0.0011380095130750373,
      -0.0011941133653561363,
      -0.0012493408561840879,
      -0.0013037057416759462,
      -0.001357221463675066,
      -0.0014099012471938284,
      -0.0014617581205426413,
      -0.0015128049473131005,
      -0.0015630544705447316,
      -0.001612519089229633,
      -0.0016612110723607002,
      -0.0017091425054614274,
      -0.0017563252488054554,
      -0.0018027709775619704,
      -0.0018484912087879761,
      -0.0018934972320288678,
      -0.0019378002935139158,
      -0.001981411379461702,
      -0.002024341227750269,
      -0.002066600516080234,
      -0.002108199725760724,
      -0.0021491491575495215,
      -0.002189459010181675,
      -0.002229139255099136,
      -0.0022681996373304847,
      -0.002306649930077884,
      -0.0023444996295159362,
      -0.002381758094102443,
      -0.002418434568260542,
      -0.0024545381679718556,
      -0.0024900778721048357,
      -0.002525062417598067,
      -0.002559500473683962
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335013293495841,
      10.094536818697417,
      9.848223509517606,
      9.598782419011915,
      9.348581531856711,
      9.09967445062573,
      8.853771870860575,
      8.612228672002274,
      8.37604548427834,
      8.145886724739931,
      7.922111996922248,
      7.7048151511704255,
      7.493872721502052,
      7.288994700950236,
      7.0897738523582925,
      6.895731316408563,
      6.706353933794623,
      6.521126378410881,
      6.339557236833214,
      6.161195799407877,
      5.985644871365537,
      5.8125589490936465,
      5.641661186486398,
      5.472757372233072,
      5.305730765467555,
      5.140542686650596,
      4.977227934991977,
      4.815891631240453,
      4.656710758208387,
      4.499957102127346,
      4.3459662983332725,
      4.195098422931596,
      4.047734744343584,
      3.904267540461887,
      3.765084654197927,
      3.630545425773914,
      3.500969073971937,
      3.3766266442608632,
      3.257735363429056,
      3.144455454978116,
      3.0368873189578705,
      2.9350597483826926,
      2.838929847384995,
      2.7483734805882647,
      2.6632066818042435,
      2.583203638382452,
      2.5081202353838137,
      2.4377010140805964,
      2.37168302686036,
      2.3097908626558734,
      2.251724411211049,
      2.197126403499348,
      2.1456230328494392,
      2.0968651295113454,
      2.050523981487703,
      2.00629544244467,
      1.9639275405932262,
      1.9232118362244333,
      1.883974664093027,
      1.8460780674344672,
      1.8094085398815098,
      1.7738660807172015,
      1.739364425508527,
      1.7058335291212368,
      1.6732150780224955,
      1.6414593732844172,
      1.6105231463890088,
      1.5803680228919608,
      1.5509594351113183,
      1.5222658467592898,
      1.4942581956167569,
      1.466908627319564,
      1.4401895096215114,
      1.414075836186707,
      1.3885448036212569,
      1.3635764337284175,
      1.3391541347013387,
      1.31526237977277,
      1.2918864254463387,
      1.2690136688773646,
      1.2466311331371442,
      1.224725365551728,
      1.2032828125117148,
      1.1822900651085888,
      1.1617340276752621,
      1.1416020498834636,
      1.121882798349202,
      1.1025656571318803,
      1.083640438759287,
      1.065097141464094,
      1.0469257335571065,
      1.0291163010510251,
      1.0116591366465526,
      0.9945447920638314,
      0.9777641074448608,
      0.9613082237314858,
      0.9451685859205134,
      0.9293369400342785,
      0.9138053263179391,
      0.8985660700857351,
      0.8836117713673955,
      0.8689352941357709,
      0.854529755629418,
      0.8403885146946996,
      0.8265051617753816,
      0.812873508844619,
      0.7994875792452639,
      0.7863415978778301,
      0.7734299836174181,
      0.7607473629344785,
      0.7482885493172166,
      0.7360485136483611,
      0.7240223811471674,
      0.7122054262863633,
      0.7005930682523878,
      0.6891808656933247,
      0.6779645112007738,
      0.6669398771055413,
      0.656103341224472,
      0.6454514655114837,
      0.634980733933186,
      0.6246876049022819,
      0.6145685061631221,
      0.6046199174835512,
      0.5948384097209802,
      0.5852206434994256,
      0.5757633673491601,
      0.566463415341137,
      0.5573177044772362,
      0.548323231788919,
      0.5394770724425753,
      0.5307763763843398,
      0.5222183658610474,
      0.5138003333301746,
      0.5055196387104963,
      0.49737370683207643,
      0.4893600258646341,
      0.4814761449110652,
      0.4737196718248185,
      0.46608827151892396,
      0.45857991667160836,
      0.45119325786063647,
      0.44392679549491393,
      0.43677880416851517,
      0.4297474307796339,
      0.42283075683344185,
      0.41602683817997554,
      0.40933372976568133,
      0.40274950096610834,
      0.396272245126672,
      0.38990008546948796,
      0.3836312551665473,
      0.37746427732864113,
      0.37139764425013316,
      0.3654297746137513,
      0.3595590525962517,
      0.35378385300270637,
      0.34810255630294673,
      0.3425135584670586,
      0.33701527702994016,
      0.33160621252421857,
      0.32628499479961137,
      0.32105023893114754,
      0.3159005390113784,
      0.3108344857778783,
      0.3058506780352103,
      0.30094773088155885,
      0.2961241434914348,
      0.29137831386053287,
      0.2867087471933051,
      0.2821140416322144,
      0.27759286400988625,
      0.2731439331417191,
      0.2687660096343738,
      0.2644578889965958,
      0.2602183709319158,
      0.2560460767242559,
      0.2519396120195164,
      0.24789778528774772,
      0.24391984926728064,
      0.2400051120888132,
      0.23615276695612997,
      0.2323619382002189,
      0.22863171087304698,
      0.22496115039255626,
      0.22134931515132572,
      0.21779526469497903,
      0.21429806503000448,
      0.210856791998351,
      0.20747053350944455,
      0.20413839065292913,
      0.20085944981140558,
      0.19763272589996558,
      0.1944572708031306,
      0.19133218668828428,
      0.18825661368104984,
      0.18522972164260632,
      0.18225070432657003,
      0.17931877571670576,
      0.1764331675272987,
      0.17359312739355326,
      0.1707979176633571,
      0.1680468144244369,
      0.16533910701179483,
      0.16267409709763614,
      0.1600510986910497,
      0.15746943753944562,
      0.15492845097495359,
      0.15242748738413683,
      0.14996590625442807,
      0.14754307780537013,
      0.1451583828021214,
      0.14281121229015484,
      0.14050096750527796,
      0.1382270596916297,
      0.13598890983413114,
      0.13378594842546113,
      0.13161761537592373,
      0.12948335986781764,
      0.12738264011077538,
      0.12531492323890583,
      0.12327968508867708,
      0.121276410213421,
      0.11930459160073764,
      0.11736373025697762,
      0.11545333551040915,
      0.11357292472353563,
      0.11172202303772386,
      0.10990016336534027,
      0.10810688619068448,
      0.1063417394211968,
      0.10460427824391513,
      0.10289406513917777,
      0.1012106696708948,
      0.09955366828739959,
      0.09792264426634682,
      0.09631718768269512,
      0.09473689502413143,
      0.09318136938840406,
      0.09165022033410063,
      0.09014306354998862,
      0.08865952085754225,
      0.08719922027885096,
      0.08576179573826928,
      0.0843468869786845,
      0.08295413952359287,
      0.08158320455746831,
      0.0802337389698082,
      0.07890540482084477,
      0.07759786984070234,
      0.07631080698151035,
      0.07504389432878292,
      0.07379681515494459,
      0.07256925772476314,
      0.07136091535390297,
      0.0701714861294419,
      0.0690006729533078,
      0.06784818346938132,
      0.06671372998883021,
      0.06559702942315732,
      0.06449780302091881,
      0.06341577645719532,
      0.062350679834846164,
      0.06130224754281492,
      0.06027021821926763,
      0.05925433446978301,
      0.05825434307744411,
      0.05726999492909531,
      0.05630104458826207,
      0.05534725062601548,
      0.05440837545767926,
      0.05348418525768699,
      0.05257444983448913,
      0.05167894270665131,
      0.050797440906681236,
      0.049929724906187946,
      0.049075578716233734,
      0.048234789756235075,
      0.04740714871000064,
      0.04659244962965415,
      0.04579048984261655,
      0.04500106988970273,
      0.044223993418320534,
      0.04345906723073367,
      0.04270610094968552,
      0.041964907273911146,
      0.041235301942946646,
      0.040517103478144544,
      0.03981013338641204,
      0.039114215907117764,
      0.038429178120037974,
      0.037754849704198415,
      0.03709106299641161,
      0.03643765304408064,
      0.03579445755378493,
      0.035161316662429595,
      0.03453807303582706,
      0.03392457182131206,
      0.033320660488798275,
      0.03272618908170546,
      0.032141009955934885,
      0.03156497778894606,
      0.03099794933036175,
      0.0304397838158863,
      0.029890342620958615,
      0.029349489247269978,
      0.028817089476482524,
      0.028293010998224347,
      0.027777123643929532,
      0.027269299310357112,
      0.026769411897644153,
      0.02627733740169325,
      0.025792953607209807,
      0.025316140156852615,
      0.024846778710230222,
      0.024384752907023684,
      0.02392994786722235,
      0.023482250772286613,
      0.02304155047422957,
      0.022607737569832684,
      0.022180704423861837,
      0.021760344970465882,
      0.021346554832115693,
      0.020939231311806777,
      0.02053827342349142,
      0.020143581617379558,
      0.01975505780987288,
      0.019372605667534865,
      0.018996130299565882,
      0.01862553820411409,
      0.01826073747462921,
      0.017901637458645286,
      0.017548149153377747,
      0.017200184850445055,
      0.01685765819938184,
      0.016520484200100428,
      0.01618857924499882,
      0.015861860931145624,
      0.015540248195338864,
      0.01522366121247562,
      0.014912021483674773,
      0.014605251655529868,
      0.014303275617736411,
      0.014006018458943864,
      0.013713406408711099,
      0.013425366751526602,
      0.013141828044272665,
      0.012862720007893071,
      0.012587973455307069,
      0.0123175202044435,
      0.012051293154562449,
      0.01178922626461811,
      0.011531254504201135,
      0.011277313814797147,
      0.011027341190125186,
      0.010781274670577152,
      0.010539053161479586,
      0.010300616519425203,
      0.010065905685379585,
      0.009834862465582708,
      0.00960742954501519,
      0.009383550504217792,
      0.009163169763384455,
      0.008946232682343831,
      0.0087326854606839,
      0.008522475111129064,
      0.00831554946164805,
      0.00811185716679722,
      0.00791134774178571,
      0.007713971440638808,
      0.007519679220013844,
      0.00732842297945719,
      0.007140155257858191,
      0.006954829365501823,
      0.006772399251635529,
      0.006592819718145615,
      0.006416046216751764,
      0.006242034998576902,
      0.006070742910742165,
      0.005902127296752906,
      0.005736146319209848,
      0.005572758871707978,
      0.005411924506588132,
      0.005253603365300648,
      0.005097756053679486,
      0.004944343983753025,
      0.004793329120142969,
      0.0046446739836570015,
      0.004498341612316226,
      0.004354295727998572,
      0.004212500632072244,
      0.004072921135305541,
      0.003935522680617421,
      0.003800271143761135,
      0.003667132953808984,
      0.003536075171369094,
      0.0034070652574218763,
      0.0032800711810453847,
      0.0031550615225989383,
      0.0030320051468168633,
      0.0029108715832667775,
      0.002791630779340262,
      0.0026742531287457776,
      0.002558709558660778,
      0.0024449714475965325,
      0.0023330105256565994,
      0.002222799005303892,
      0.002114309555049655,
      0.0020075153510303065,
      0.0019023898700279878,
      0.0017989070080883587,
      0.0016970410923279253,
      0.0015967667803458204,
      0.0014980592659394158,
      0.0014008941372060984,
      0.0013052473508393231,
      0.0012110951057027104,
      0.0011184140740478521,
      0.001027181195161299,
      0.0009373738013217729,
      0.000848969706946618,
      0.0007619470449429068,
      0.000676284174731373,
      0.0005919598071068367,
      0.0005089529778813519,
      0.00042724313099002926,
      0.00034681008236035266,
      0.000267633896179795,
      0.00018969483825701671,
      0.00011297364855239094,
      3.7451249348260875e-05,
      -3.689106892405782e-05,
      -0.00011007175309922431,
      -0.00018210891941571413,
      -0.0002530205203634341,
      -0.00032282424324415327,
      -0.000391537204265711,
      -0.0004591764994044434,
      -0.0005257589087920348,
      -0.0005913009244345847,
      -0.000655818776740218,
      -0.000719328434701153,
      -0.000781845643042743,
      -0.0008433860224261674,
      -0.0009039648442950943,
      -0.0009635970972736694,
      -0.00102229755873728,
      -0.0010800808083190896,
      -0.0011369612279060835,
      -0.0011929528735651785,
      -0.0012480695944535433,
      -0.0013023250933613757,
      -0.0013557327707138568,
      -0.001408305910790058,
      -0.001460057549390583,
      -0.0015110005695304558,
      -0.0015611475674735908,
      -0.0016105109659091152,
      -0.0016591031327582856,
      -0.0017069360795695617,
      -0.0017540216043012992,
      -0.0018003713949587695,
      -0.0018459969545017436,
      -0.001890909569746852,
      -0.001935120355601077,
      -0.0019786403050511036,
      -0.002021480211463457,
      -0.0020636507302332755,
      -0.0021051623567196667,
      -0.0021460253976611806,
      -0.0021862499035353936,
      -0.0022258459114917538,
      -0.0022648231474778286,
      -0.0023031912872902606,
      -0.0023409598863888526,
      -0.0023781383536310417,
      -0.002414735969312097,
      -0.0024507617560983763,
      -0.0024862246481082866,
      -0.0025211334813747184,
      -0.002555496863232042
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335009885893212,
      10.094524496515826,
      9.848196124067528,
      9.598735553648684,
      9.348512097954588,
      9.099580419527276,
      8.853652029272665,
      8.612082412179161,
      8.375872619966612,
      8.145687484433084,
      7.921886802021505,
      7.704564451302851,
      7.493596940709272,
      7.288694210337008,
      7.089448954998236,
      6.89538225147958,
      6.7059809299509565,
      6.520729687338286,
      6.339137199556982,
      6.1607529024554495,
      5.98517978156502,
      5.81207260590656,
      5.641154740782779,
      5.472232197860879,
      5.305188489237745,
      5.139985160498888,
      4.976657140073408,
      4.815309842746525,
      4.6561208202350315,
      4.499362521209267,
      4.345370574016688,
      4.194505066915444,
      4.047147217837846,
      3.9036893246898186,
      3.7645190875057493,
      3.6299955522214034,
      3.500437594527929,
      3.3761158813340586,
      3.257247235075193,
      3.1439914641005915,
      3.036448484172501,
      2.9346465540141224,
      2.8385422891112877,
      2.748010902488888,
      2.6628677380146297,
      2.5828866111380315,
      2.5078232689422633,
      2.437422238967437,
      2.371420421366633,
      2.3095422778455243,
      2.25148769754658,
      2.196899018506754,
      2.145402576683381,
      2.0966494294037474,
      2.050311077972572,
      2.0060835892157303,
      1.963715343434122,
      1.9229982603371396,
      1.8837589706248261,
      1.8458597350410406,
      1.8091871719969128,
      1.773641362240436,
      1.7391361624670405,
      1.7056016121693294,
      1.6729794574838281,
      1.641220041070991,
      1.6102801230542925,
      1.5801213487228578,
      1.550709163797538,
      1.5220120412406333,
      1.4940009240262844,
      1.46664798882984,
      1.4399256288101423,
      1.4138088291818685,
      1.388274780103403,
      1.3633035815280938,
      1.3388787359585284,
      1.3149846420639402,
      1.2916067077775544,
      1.2687323099512635,
      1.246348371526816,
      1.2244413733141066,
      1.2029977181897222,
      1.1820039611435822,
      1.1614469781929333,
      1.1413141228182466,
      1.1215940715887638,
      1.1022762015806682,
      1.083350324500169,
      1.064806428502866,
      1.0466344749663785,
      1.0288245447772484,
      1.011366927406094,
      0.9942521725165854,
      0.9774711185957532,
      0.9610149054248184,
      0.9448749769187357,
      0.9290430780884801,
      0.9135112485343997,
      0.8982718127753017,
      0.8833173706494963,
      0.8686407856194357,
      0.8542351741362776,
      0.84009389478731,
      0.8262105375651616,
      0.812578913741036,
      0.7991930460517725,
      0.786047159057096,
      0.7731356771944337,
      0.7604532343689476,
      0.7479946382477441,
      0.7357548558561948,
      0.7237290096875979,
      0.7119123723005446,
      0.7003003614357857,
      0.6888885344739009,
      0.6776725832370826,
      0.6666484392848544,
      0.6558125616400787,
      0.6451614582671937,
      0.6346915787094425,
      0.6243993583844529,
      0.6142812092723179,
      0.6043336017904958,
      0.5945531010249145,
      0.5849363636530214,
      0.5754801353513459,
      0.5661812481852377,
      0.5570366179098777,
      0.5480432406512619,
      0.5391981907225173,
      0.5304986173867661,
      0.5219417423956332,
      0.5135248576620169,
      0.505245322605623,
      0.49710056187511137,
      0.489088063261624,
      0.481205375489659,
      0.4734501058494171,
      0.4658199190335727,
      0.458312874898789,
      0.4509276272855069,
      0.44366264099620684,
      0.43651616793010845,
      0.42948634020919163,
      0.42257122993209617,
      0.4157688865090159,
      0.40907736072511025,
      0.4024947192650572,
      0.39601905362983014,
      0.3896484859311357,
      0.383381271675549,
      0.37721593683303506,
      0.37115096302240475,
      0.3651847618181662,
      0.35931571281002295,
      0.35354218753306366,
      0.34786256468081844,
      0.3422752390656937,
      0.33677862715438917,
      0.3313712397650245,
      0.32605170683238427,
      0.3208186385205553,
      0.3156706257470206,
      0.31060625724865903,
      0.3056241305485036,
      0.30072286079798133,
      0.29590095027647334,
      0.2911567958414344,
      0.2864889009111355,
      0.28189586263466837,
      0.2773763469638623,
      0.2729290725641442,
      0.26855279967910406,
      0.2642463233142388,
      0.2600084683517773,
      0.25583793521595954,
      0.25173331044321856,
      0.24769337979249728,
      0.24371738674293997,
      0.23980461871269468,
      0.23595425548272597,
      0.23216541238447075,
      0.22843716859898264,
      0.22476858568440783,
      0.22115871944346877,
      0.21760662773441367,
      0.21411137542762432,
      0.21067203766035522,
      0.20728770186117199,
      0.2039574688342466,
      0.20068042063361588,
      0.19745557173643077,
      0.1942819755676575,
      0.19115873537653186,
      0.1880849919534772,
      0.18505991553605622,
      0.18208270014477823,
      0.17915255994592308,
      0.17626872682850797,
      0.173430448575464,
      0.17063698760416537,
      0.16788762007595603,
      0.16518163524406237,
      0.1625183348543332,
      0.15989703287070808,
      0.15731705507985716,
      0.15477773872695866,
      0.15227843234080946,
      0.14981849541746034,
      0.14739729821666733,
      0.1450142215431529,
      0.14266865655727473,
      0.14036000454504588,
      0.1380876766277195,
      0.1358510937923288,
      0.13364968663314336,
      0.1314828950572827,
      0.12935016832364823,
      0.1272509647346473,
      0.12518475135492044,
      0.12315100417678014,
      0.12114920771534322,
      0.11917885489069246,
      0.11723944694250371,
      0.11533049312964617,
      0.11345151086810909,
      0.11160202543746482,
      0.10978156971863909,
      0.10798968426836818,
      0.10622591702396339,
      0.1044898232421679,
      0.1027809654813989,
      0.10109891329653123,
      0.09944324317956649,
      0.09781353851720073,
      0.09620938931084133,
      0.09463039222436143,
      0.0930761504000888,
      0.09154627329689656,
      0.09004037673448873,
      0.08855808284530005,
      0.08709901960902335,
      0.085662820888032,
      0.08424912643870046,
      0.08285758190825188,
      0.08148783861404249,
      0.08013955339657679,
      0.07881238856904829,
      0.07750601185094108,
      0.07622009625393236,
      0.07495431990099867,
      0.07370836613137752,
      0.0724819232834876,
      0.07127468470613613,
      0.07008634853622205,
      0.06891661784105851,
      0.06776520031361376,
      0.06663180830328884,
      0.06551615858339306,
      0.0644179726597093,
      0.0633369764126883,
      0.06227289988295051,
      0.06122547755876363,
      0.0601944480372173,
      0.059179554172079006,
      0.05818054276565844,
      0.057197164613262186,
      0.05622917439678308,
      0.05527633091732492,
      0.054338396573468624,
      0.05341513763550875,
      0.052506323977359784,
      0.05161172914982002,
      0.05073113020980339,
      0.04986430780173141,
      0.049011045987788666,
      0.04817113227933937,
      0.04734435746166385,
      0.046530515663113746,
      0.045729404249514334,
      0.04494082380076276,
      0.044164577985038506,
      0.04340047357845683,
      0.04264832042314597,
      0.041907931387806296,
      0.04117912212320678,
      0.04046171136289097,
      0.03975552064382703,
      0.039060374251087264,
      0.038376099268408716,
      0.03770252547703216,
      0.037039485300122583,
      0.03638681379230104,
      0.0357443487217922,
      0.035111930370468336,
      0.03448940144220936,
      0.03387660719992171,
      0.03327339518632216,
      0.032679615513414466,
      0.032095120518839476,
      0.031519764933985464,
      0.030953405844731163,
      0.03039590236856014,
      0.02984711584239883,
      0.02930690996155539,
      0.028775150444112267,
      0.028251705174406422,
      0.02773644406182913,
      0.027229239130289757,
      0.026729964208728113,
      0.026238495226535062,
      0.025754710243779552,
      0.02527848898036281,
      0.02480971316002982,
      0.024348266321064647,
      0.02389403368504513,
      0.023446902541104268,
      0.02300676176020557,
      0.022573502053665744,
      0.022147015850689403,
      0.021727197066412816,
      0.02131394150741347,
      0.020907146544629954,
      0.020506711109105336,
      0.02011253578597093,
      0.019724522679717155,
      0.019342575437744886,
      0.018966599190967003,
      0.01859650053843353,
      0.018232187531379816,
      0.01787356964358024,
      0.017520557932092215,
      0.017173064758518677,
      0.01683100382100427,
      0.016494290222994066,
      0.01616284025518705,
      0.01583657165260698,
      0.015515403412051099,
      0.015199255690843166,
      0.014888049971121007,
      0.014581709006069785,
      0.014280156816378016,
      0.013983318519443474,
      0.01369112037292595,
      0.01340348980992669,
      0.013120355479092152,
      0.012841647034576386,
      0.012567295400962181,
      0.012297232406881667,
      0.012031390975738703,
      0.01176970505974791,
      0.011512109749843003,
      0.01125854111019366,
      0.011008936245505958,
      0.01076323308592714,
      0.010521370691028932,
      0.01028328899117705,
      0.010048928787464632,
      0.00981823202208473,
      0.009591141321386224,
      0.009367600318029445,
      0.009147553696848052,
      0.008930946774354223,
      0.008717725665908775,
      0.00850783748753224,
      0.008301230205856948,
      0.008097852503865176,
      0.007897653821352473,
      0.0077005844553913565,
      0.007506595479898254,
      0.007315638750669759,
      0.0071276669456029175,
      0.006942633429794167,
      0.0067604922569644565,
      0.00658119811019612,
      0.006404706454744926,
      0.006230973528710743,
      0.0060599561966019466,
      0.005891612110982374,
      0.005725899469737408,
      0.00556277710679815,
      0.00540220449557176,
      0.005244141901870555,
      0.005088549992331152,
      0.0049353902529303915,
      0.004784624481201082,
      0.004636215298046529,
      0.0044901258991420934,
      0.004346320050542336,
      0.00420476213725655,
      0.004065416953398165,
      0.003928249907629727,
      0.0037932268809074093,
      0.003660314448782019,
      0.003529479642178672,
      0.0034006898878383143,
      0.003273913198599708,
      0.00314911808582657,
      0.0030262736651014057,
      0.0029053494265367566,
      0.002786315344217298,
      0.0026691418600616247,
      0.002553799920444554,
      0.002440260957563611,
      0.00232849671998244,
      0.0022184795435526198,
      0.0021101821090920396,
      0.0020035775070190447,
      0.001898639214211668,
      0.0017953411491659756,
      0.0016936577857062163,
      0.0015935639001265246,
      0.0014950344912994296,
      0.0013980450960236522,
      0.0013025717119938647,
      0.0012085906718227876,
      0.0011160786902176484,
      0.001025012708492158,
      0.0009353701417172703,
      0.0008471288342892087,
      0.000760266922174825,
      0.0006747626834088547,
      0.0005905948918848102,
      0.0005077427019324468,
      0.00042618559209153307,
      0.00034590335458569636,
      0.0002668760157917352,
      0.0001890839997578269,
      0.00011250787958261501,
      3.7128663607394067e-05,
      -3.70723299881607e-05,
      -0.00011011348931593999,
      -0.00018201290452097836,
      -0.00025278850243377443,
      -0.00032245787535394434,
      -0.0003910382164147097,
      -0.00045854649527343874,
      -0.0005249995628870694,
      -0.0005904140013193227,
      -0.0006548059919196374,
      -0.0007181914039082797,
      -0.0007805860222512509,
      -0.0008420052214953041,
      -0.0009024644080484744,
      -0.0009619786160833113,
      -0.0010205625794613414,
      -0.0010782307894279853,
      -0.0011349975960097602,
      -0.0011908770480698757,
      -0.001245883114011187,
      -0.0013000294312015366,
      -0.0013533293722428346,
      -0.0014057960974643974,
      -0.001457442714666174,
      -0.0015082820698788433,
      -0.001558326778496476,
      -0.0016075892687456902,
      -0.00165608174127743,
      -0.0017038162998284534,
      -0.0017508045850698041,
      -0.0017970583104310813,
      -0.0018425890659864667,
      -0.0018874081543386993,
      -0.0019315266667474392,
      -0.001974955564675417,
      -0.0020177056912427716,
      -0.0020597875973073147,
      -0.0021012117675939805,
      -0.002141988509025513,
      -0.0021821278385946215,
      -0.002221639719770282,
      -0.002260533968078487,
      -0.002298820245166029,
      -0.0023365080649259237,
      -0.0023736067354542235,
      -0.002410125522675122,
      -0.0024460735596351273,
      -0.0024814598187249907,
      -0.0025162929687926154,
      -0.002550581542654251
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335006459170202,
      10.094512105582364,
      9.848168594086282,
      9.598688449808567,
      9.348442316383306,
      9.099485919100278,
      8.853531587889014,
      8.611935415579406,
      8.375698877542266,
      8.145487221639266,
      7.921660439357817,
      7.704312439963392,
      7.493319705567869,
      7.288392123021341,
      7.089122318688466,
      6.895031307787235,
      6.70560590845481,
      6.520330841732637,
      6.338714871223931,
      6.160307575798316,
      5.984712124296434,
      5.81158355770024,
      5.640645453829081,
      5.471704047327645,
      5.304643103101159,
      5.139424396359967,
      4.97608298594132,
      4.814724581798376,
      4.655527311661459,
      4.498764287437822,
      4.344771125695593,
      4.193907927572302,
      4.046555861799702,
      3.90310724686301,
      3.763949640425691,
      3.6294417942468784,
      3.4999022410291367,
      3.375601266065791,
      3.2567552862326883,
      3.143523693770644,
      3.0360059184637977,
      2.9342296831225756,
      2.8381511126146077,
      2.7476447667971198,
      2.6625253000330664,
      2.5825661550392587,
      2.5075229405676467,
      2.437140144518879,
      2.371154544203134,
      2.3092904733763064,
      2.251247820771117,
      2.196668529576031,
      2.1451790780946207,
      2.096430750895878,
      2.050095259532375,
      2.0058688832730227,
      1.9635003539246283,
      1.9227819511037985,
      1.8835406017439211,
      1.8456387834710979,
      1.8089632393836954,
      1.7734141308914921,
      1.7389054359294966,
      1.7053672797176025,
      1.6727414676575536,
      1.6409783840717762,
      1.6100348179198682,
      1.5798724341827763,
      1.550456692061472,
      1.5217560736076263,
      1.4937415270975687,
      1.4663852689653882,
      1.4396597128805069,
      1.4135398287968435,
      1.388002801459404,
      1.3630288098650851,
      1.3386014513234126,
      1.3147050514657428,
      1.2913251696146237,
      1.2684491613734108,
      1.246063850093538,
      1.2241556513801362,
      1.202710923576945,
      1.1817161893432113,
      1.1611582940609484,
      1.1410245914890684,
      1.121303769201613,
      1.1019851976870594,
      1.0830586883320568,
      1.0645142190104488,
      1.0463417444248275,
      1.028531341157362,
      1.0110732950047732,
      0.9939581533897527,
      0.9771767531165709,
      0.9607202325783837,
      0.9445800347907419,
      0.9287479041928994,
      0.9132158796750693,
      0.897976285356983,
      0.883021720065141,
      0.868345046950143,
      0.8539393822332372,
      0.839798083734844,
      0.8259147408983473,
      0.8122831646538209,
      0.7988973772408893,
      0.7857516027358279,
      0.7728402753749016,
      0.7601580303136167,
      0.7476996703116711,
      0.7354601588888802,
      0.7234346158587678,
      0.7116183120129744,
      0.7000066639212142,
      0.6885952279458633,
      0.6773796951615217,
      0.6663560981945591,
      0.6555209198790801,
      0.644870620008114,
      0.6344016170628151,
      0.6241103252821486,
      0.6139931427361164,
      0.6040465318294135,
      0.5942670519637424,
      0.5846513560803879,
      0.5751961878205435,
      0.5658983775527222,
      0.5567548397386435,
      0.5477625696034206,
      0.5389186404588393,
      0.5302202010929994,
      0.5216644728174409,
      0.5132487469803344,
      0.5049703824820776,
      0.49682680376994914,
      0.48881549818603365,
      0.4809340139039012,
      0.47317995806273927,
      0.4655509949112472,
      0.45804527182093796,
      0.4506614455451963,
      0.4433979453883012,
      0.4362530003321885,
      0.42922472777919246,
      0.4223111903251996,
      0.41551043122515596,
      0.4088204970308029,
      0.40223945184215815,
      0.3957653853713335,
      0.38939641831921057,
      0.38313083072012,
      0.3769671488438138,
      0.3709038434396449,
      0.3649393193116629,
      0.3590719515179576,
      0.3533001089510147,
      0.3476221683542577,
      0.34203652296731857,
      0.33654158847206334,
      0.3311358860770817,
      0.3258180455000895,
      0.3205866722384235,
      0.315440354074472,
      0.31037767769556984,
      0.3053972391033773,
      0.3004976537707856,
      0.2956774269554572,
      0.29093495445284273,
      0.28626873818753,
      0.2816773741504828,
      0.27715952756636153,
      0.2727139163415074,
      0.26833930038193343,
      0.26403447450652734,
      0.2597982634194744,
      0.25562945644556506,
      0.2515266516279179,
      0.24748860641664605,
      0.24351455191323226,
      0.23960375277146914,
      0.23575537378372458,
      0.23196852046418354,
      0.2282422655155813,
      0.22457566619859154,
      0.22096777553294142,
      0.21741764939668337,
      0.21392435133418866,
      0.2104869557408236,
      0.2071045494127827,
      0.2037762327422918,
      0.20050108356909224,
      0.19727811600815726,
      0.1941063849984709,
      0.19098499481896794,
      0.18791308702480097,
      0.18488983212624446,
      0.18191442444597278,
      0.17898607849569179,
      0.1761040261455092,
      0.17326751528453932,
      0.1704758084911546,
      0.16772818189420596,
      0.1650239246792112,
      0.1623623388061026,
      0.15974273831507257,
      0.15716444900103674,
      0.15462680809303014,
      0.15212916406625743,
      0.14967087641395366,
      0.14725131547501807,
      0.14486986201157565,
      0.1425259072226128,
      0.14021885241808194,
      0.13794810879197403,
      0.13571309733168688,
      0.13351324871171671,
      0.1313480028785687,
      0.12921680907644426,
      0.12711912567223943,
      0.12505441981060772,
      0.12302216748388589,
      0.12102185319682802,
      0.11905296995034965,
      0.11711501898439222,
      0.11520750980142701,
      0.11332995973927186,
      0.11148189397566538,
      0.10966284556457244,
      0.10787235504639973,
      0.10610997049636285,
      0.10437524721535263,
      0.10266774778221809,
      0.10098704186897628,
      0.09933270602311407,
      0.09770432359317252,
      0.0961014846965267,
      0.09452378605114913,
      0.09297083082990144,
      0.09144222865110131,
      0.08993759540715038,
      0.08845655304457171,
      0.08699872958144594,
      0.08556375912364873,
      0.08415128161594605,
      0.08276094270934019,
      0.08139239370236766,
      0.08004529152449874,
      0.07871929849145297,
      0.07741408241081536,
      0.07612931626131252,
      0.07486467833000404,
      0.07361985202159634,
      0.07239452578486112,
      0.07118839301604925,
      0.0700011520117526,
      0.06883250583482804,
      0.06768216217195681,
      0.06654983341814708,
      0.06543523669260908,
      0.06433809340742189,
      0.06325812942785691,
      0.06219507499770413,
      0.061148664604315985,
      0.060118636824470315,
      0.059104734563867486,
      0.0581067048067567,
      0.057124298495691665,
      0.05615727035553223,
      0.05520537911974225,
      0.05426838737130435,
      0.05334606130183546,
      0.05243817097162381,
      0.051544490023869426,
      0.05066479562904851,
      0.04979886837226395,
      0.04894649244939597,
      0.04810745541889966,
      0.047281548112573124,
      0.04646856476871314,
      0.045668302821663065,
      0.04488056293286804,
      0.04410514893855586,
      0.04334186769179372,
      0.04259052902738495,
      0.041850945865316354,
      0.04112293400161587,
      0.04040631214862545,
      0.03970090195473821,
      0.039006527710533936,
      0.03832301656508232,
      0.03765019841866922,
      0.03698790579115017,
      0.03633597391694409,
      0.035694240500193486,
      0.035062545845375326,
      0.03444073279427313,
      0.033828646583820794,
      0.03322613492931257,
      0.03263304795163051,
      0.03204923815208741,
      0.03147456020562793,
      0.030908871296894364,
      0.030352030619222835,
      0.029803899620347386,
      0.02926434205878614,
      0.028733223745243095,
      0.028210412609587905,
      0.027695778642875105,
      0.027189193815326206,
      0.026690532135540096,
      0.026199669692057097,
      0.02571648445516617,
      0.025240856213137777,
      0.024772666648929974,
      0.024311799418152157,
      0.02385813996741586,
      0.02341157554390673,
      0.022971995174129282,
      0.022539289477562775,
      0.022113350925579294,
      0.021694073617633022,
      0.02128135335024297,
      0.02087508750773969,
      0.020475175201441223,
      0.020081516925074216,
      0.019694015005151742,
      0.01931257308459017,
      0.018937096381272975,
      0.01856749153952457,
      0.018203666665220768,
      0.01784553137285803,
      0.017492996647471785,
      0.017145974915770565,
      0.016804379862044274,
      0.01646812665597832,
      0.016137131709210897,
      0.015811312831327924,
      0.015490589015522022,
      0.015174880585736092,
      0.014864109144943844,
      0.014558197528671017,
      0.014257069597821097,
      0.013960650557329314,
      0.013668866828194235,
      0.01338164594346218,
      0.013098916505745656,
      0.01282060821264056,
      0.012546651822626344,
      0.01227697937344661,
      0.012011523883755008,
      0.01175021938935219,
      0.011493001008962125,
      0.011239804816856392,
      0.010990567896751511,
      0.010745228285625116,
      0.010503725045122782,
      0.010265998255911119,
      0.010031988935388475,
      0.009801638793740849,
      0.009574890666700185,
      0.009351688138442312,
      0.009131975803933923,
      0.008915699096060355,
      0.00870280433862373,
      0.008493238548376606,
      0.008286949717203203,
      0.008083886556861932,
      0.007883998609528601,
      0.007687236253502167,
      0.007493550641905544,
      0.0073028936636689796,
      0.00711521792667002,
      0.006930476749693028,
      0.0067486243290337585,
      0.006569615552645304,
      0.006393405943687757,
      0.006219951746995076,
      0.006049209852705696,
      0.005881137760507365,
      0.005715693756597681,
      0.005552836705258584,
      0.005392526250103627,
      0.005234722426573088,
      0.00507938610942882,
      0.004926478782912205,
      0.0047759623703235955,
      0.0046277995492270945,
      0.004481953502889396,
      0.004338387973116654,
      0.004197067334197221,
      0.004057956395736951,
      0.0039210207163374025,
      0.003786226213834027,
      0.003653539451361765,
      0.0035229274996488548,
      0.003394357852524355,
      0.0032677985727068187,
      0.0031432183191467166,
      0.003020586039312703,
      0.002899871305710992,
      0.002781044189716231,
      0.0026640751251599984,
      0.0025489351358474487,
      0.0024355954671644075,
      0.002324028007749997,
      0.002214205064358523,
      0.0021060993680489257,
      0.001999684119459849,
      0.0018949328391633592,
      0.0017918195500972454,
      0.001690318554520511,
      0.001590404695948351,
      0.0014920531075342182,
      0.0013952393053729875,
      0.0012999393404064352,
      0.0012061295454852353,
      0.0011137865759743666,
      0.0010228875661334263,
      0.0009334099632562415,
      0.0008453314514307203,
      0.0007586301760628972,
      0.0006732846005587733,
      0.0005892735045778006,
      0.0005065760024677894,
      0.00042517159490851824,
      0.00034504008195807825,
      0.00026616159202703357,
      0.00018851654837365926,
      0.00011208562397419705,
      3.68497419506736e-05,
      -3.720967478755994e-05,
      -0.00011011108188372135,
      -0.00018187262506953576,
      -0.0002525121544117865,
      -0.00032204709051317844,
      -0.0003904947601849456,
      -0.0004578721846785116,
      -0.000524196032038208,
      -0.0005894828160519909,
      -0.0006537486874440698,
      -0.000717009720050282,
      -0.0007792815794414605,
      -0.0008405797562904772,
      -0.0009009194553451466,
      -0.0009603156234069658,
      -0.0010187829952168865,
      -0.001076336170377004,
      -0.0011329894479821109,
      -0.001188756825739325,
      -0.0012436521755910496,
      -0.0012976891581421128,
      -0.001350881251074833,
      -0.0014032415728860348,
      -0.0014547831762883447,
      -0.0015055188384357947,
      -0.001555461079405334,
      -0.00160462242776166,
      -0.0016530151259696892,
      -0.0017006511213023962,
      -0.0017475421764072182,
      -0.0017936999536998122,
      -0.0018391360865592642,
      -0.0018838617286640262,
      -0.0019278880623879776,
      -0.001971225935433725,
      -0.002013886145204219,
      -0.0020558793222151357,
      -0.0020972158380673095,
      -0.0021379060563350037,
      -0.002177960035921368,
      -0.002217387748722236,
      -0.0022561989406311034,
      -0.002294403322624033,
      -0.002332010328734419,
      -0.0023690292423709197,
      -0.002405469410791368,
      -0.0024413397664685057,
      -0.0024766492376516436,
      -0.0025114066306646384,
      -0.0025456204671854394
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.335003032348602,
      10.094499699867367,
      9.848141008704703,
      9.5986412268253,
      9.348372332579608,
      9.099391116210084,
      8.853410732148774,
      8.611787885175614,
      8.375524477402013,
      8.14528617644635,
      7.921433170475658,
      7.704059398100205,
      7.49304131432784,
      7.288088753437572,
      7.088794274500204,
      6.894678829406177,
      6.705229225983751,
      6.519930210208312,
      6.338290634294231,
      6.159860222072386,
      5.984242321798919,
      5.811092245407283,
      5.640133782166996,
      5.471173392546203,
      5.3040950950658985,
      5.138860894636428,
      4.975505983781357,
      4.8141363694828145,
      4.654930757500866,
      4.498162923861421,
      4.3441684742471205,
      4.193307523305669,
      4.045961190564831,
      3.9025218160245614,
      3.763376814266986,
      3.6288846422172436,
      3.4993634888763454,
      3.3750832580708794,
      3.25625996111912,
      3.143052572606951,
      3.0355600353068124,
      2.9338095286618997,
      2.8377566883029974,
      2.7472754250672464,
      2.662179702281732,
      2.582242589511267,
      2.5072195568731472,
      2.436855028542213,
      2.3708856535877887,
      2.309035674650075,
      2.2510049779403003,
      2.1964351113759637,
      2.1449526928547322,
      2.096209233240504,
      2.0498766532224293,
      2.0056514421621205,
      1.9632826825439968,
      1.9225630134172433,
      1.8833196575234283,
      1.8454153099357582,
      1.8087368369421608,
      1.7731844803349912,
      1.738672339108835,
      1.7051306233916517,
      1.6725011989339056,
      1.6407344917550948,
      1.6097873198569603,
      1.5796213682377078,
      1.550202109361128,
      1.5214980336075097,
      1.4934800956408865,
      1.4661205543816838,
      1.439391842938099,
      1.4132689123009148,
      1.3877289424862127,
      1.3627521923828494,
      1.3383223551709522,
      1.3144236823318531,
      1.2910418847476393,
      1.2681642979705863,
      1.2457776451897633,
      1.2238682755813373,
      1.202422503774484,
      1.1814268232630944,
      1.1608680476997582,
      1.1407335281539666,
      1.1210119632950426,
      1.101692717423803,
      1.0827656018599654,
      1.064220584453071,
      1.0460476133399859,
      1.0282367603535087,
      1.010778308090585,
      0.9936628018544409,
      0.9768810771975279,
      0.9604242711531638,
      0.944283825870673,
      0.9284514847967679,
      0.912919286151983,
      0.8976795534966575,
      0.8827248852504638,
      0.8680481438948405,
      0.8536424450148854,
      0.8395011462264639,
      0.8256178366826574,
      0.8119863265734906,
      0.7986006375502225,
      0.7854549968031157,
      0.7725438470684357,
      0.7598618201531446,
      0.7474037144188106,
      0.7351644908685557,
      0.7231392674452134,
      0.7113233132713341,
      0.6997120433608361,
      0.6883010133599589,
      0.6770859134143585,
      0.66606289138984,
      0.6552284353161155,
      0.6445789588045913,
      0.6341108501584944,
      0.6238205033173667,
      0.6137043029106112,
      0.6037587034417284,
      0.5939802590447962,
      0.584365619367064,
      0.574911525261724,
      0.5656148052837598,
      0.5564723727118336,
      0.5474812219791929,
      0.5386384260387349,
      0.5299411330077497,
      0.5213865634864595,
      0.5129720084952945,
      0.5046948265764682,
      0.49655244155280764,
      0.48854234052975115,
      0.4806620714439327,
      0.4729092409625074,
      0.465281512849628,
      0.4577771216961098,
      0.4503947273550861,
      0.4431327237427438,
      0.4359893170077967,
      0.42896260976498746,
      0.42205065491177607,
      0.4152514896562699,
      0.40856315657782144,
      0.40198371689318646,
      0.39551125865866565,
      0.3891439012207284,
      0.3828799490706086,
      0.37671792862999914,
      0.3706563002411678,
      0.3646934617895971,
      0.3588277839851952,
      0.3530576323966856,
      0.3473813817707199,
      0.34179742436163135,
      0.3363041748271941,
      0.33090016481942736,
      0.3255840240439348,
      0.3203543531039053,
      0.3152097368391248,
      0.31014875977439554,
      0.30517001658221743,
      0.3002721226894113,
      0.2954535864980697,
      0.2907128027551333,
      0.28604827170103075,
      0.281458588244078,
      0.2769424168931396,
      0.2724984750734518,
      0.2681255222751129,
      0.26382235302707746,
      0.25958779182826036,
      0.2554206762503489,
      0.2513196714113773,
      0.24728350104581412,
      0.2433113804665108,
      0.23940254953581963,
      0.2355561566815863,
      0.2317712967429565,
      0.22804703530950543,
      0.2243824248537017,
      0.22077651519989733,
      0.21722836019071876,
      0.21373702219326554,
      0.21030157465451985,
      0.20692110377384476,
      0.20359470958010542,
      0.2003214654552787,
      0.1971003850992691,
      0.19393052502587008,
      0.19081099047723257,
      0.18774092356608355,
      0.18471949545211722,
      0.1817459007938129,
      0.17881935420129744,
      0.17593908778775655,
      0.17310434944152658,
      0.1703144017248962,
      0.1675685208997328,
      0.1648659963062534,
      0.16220612980097385,
      0.1595882353793906,
      0.1570116388688786,
      0.1544756775630564,
      0.15197970005263026,
      0.14952306585698208,
      0.14710514526433288,
      0.14472531913749842,
      0.14238297862202426,
      0.14007752504896215,
      0.13780836967535554,
      0.13557493360642744,
      0.133376647415676,
      0.13121295111041886,
      0.12908329398616225,
      0.12698713439358725,
      0.12492393958432818,
      0.12289318549471806,
      0.12089435678531496,
      0.11892694642396089,
      0.1169904558165293,
      0.11508439441725347,
      0.11320827965712674,
      0.11136163682153301,
      0.10954399895309078,
      0.1077549066778757,
      0.10599390810748702,
      0.10426055847269237,
      0.10255442045509067,
      0.10087506375448915,
      0.09922206493446667,
      0.0975950075198173,
      0.09599348173578914,
      0.0944170842829074,
      0.0928654183499162,
      0.09133809354711966,
      0.08983472588741444,
      0.08835493753486312,
      0.08689835655574002,
      0.08546461696324525,
      0.08405335878335651,
      0.08266422769302774,
      0.08129687507283341,
      0.07995095793019227,
      0.07862613866469739,
      0.07732208515743515,
      0.07603847059730193,
      0.07477497323383912,
      0.07353127654893668,
      0.07230706905308654,
      0.07110204415396487,
      0.06991590019826331,
      0.06874834030258203,
      0.06759907235773704,
      0.06646780886911298,
      0.0653542668199111,
      0.06425816767203928,
      0.06317923742464664,
      0.06211720643816956,
      0.0610718092393125,
      0.0600427846248222,
      0.0590298754912024,
      0.05803282878500844,
      0.057051395550572835,
      0.05608533069726173,
      0.05513439301355719,
      0.05419834506500355,
      0.0532769532271201,
      0.05236998753882579,
      0.05147722167103231,
      0.0505984328486849,
      0.04973340185619917,
      0.048881912932060706,
      0.0480437537116547,
      0.047218715186027355,
      0.04640659158106075,
      0.0456071804079996,
      0.044820282281362686,
      0.044045701159346924,
      0.04328324392515774,
      0.04253272061005734,
      0.041793944172910116,
      0.04106673049459526,
      0.04035089833301631,
      0.03964626941582548,
      0.0389526681727481,
      0.03826992176750748,
      0.037597860130605024,
      0.03693631588531834,
      0.03628512436961636,
      0.03564412331861541,
      0.03501315306855761,
      0.03439205648123212,
      0.033780679024345873,
      0.033178868531127344,
      0.03258647499466086,
      0.03200335097488768,
      0.03142935128984741,
      0.03086433305957889,
      0.03030815575910864,
      0.02976068087918863,
      0.029221772174152956,
      0.028691295542840067,
      0.02816911897539591,
      0.02765511251451192,
      0.027149148154374598,
      0.026651100033595526,
      0.026160844324859045,
      0.02567825892217522,
      0.02520322375887967,
      0.02473562068743982,
      0.024275333373574147,
      0.02382224733733564,
      0.0233762498677093,
      0.022937229956697076,
      0.022505078412067208,
      0.022079687798884178,
      0.02166095219045531,
      0.021248767498243525,
      0.020843031165700042,
      0.02044364237768567,
      0.02005050169721556,
      0.019663511394990594,
      0.019282575174611905,
      0.01890759838063743,
      0.018538487742362716,
      0.018175151447402674,
      0.01781749909342224,
      0.017465441741147204,
      0.017118891909482202,
      0.016777763283350004,
      0.01644197106895153,
      0.01611143182037314,
      0.015786063246091952,
      0.015465784548080471,
      0.015150516073220438,
      0.014840179440009099,
      0.014534697530078442,
      0.014233994345088402,
      0.013937995083949464,
      0.01364662620578863,
      0.013359815224290075,
      0.013077490786068038,
      0.012799582587916502,
      0.012526021686562281,
      0.012256740107206043,
      0.011991670837867249,
      0.011730747992726942,
      0.01147390669989617,
      0.011221083082593931,
      0.010972214275508877,
      0.010727238464517983,
      0.010486094777811898,
      0.010248723212643522,
      0.01001506481319613,
      0.009785061420271255,
      0.00955865581214077,
      0.009335791772582636,
      0.009116413895839294,
      0.008900467604603812,
      0.008687899171117553,
      0.00847865574185975,
      0.008272685416270947,
      0.008069936986056658,
      0.007870360033007926,
      0.007673904890378001,
      0.007480522867697496,
      0.007290165811632563,
      0.007102786400718984,
      0.006918337946478859,
      0.006736774662200118,
      0.006558051432065663,
      0.006382123825316759,
      0.006208948067920768,
      0.006038481195217254,
      0.005870680851543399,
      0.00570550527039068,
      0.005542913371133042,
      0.005382864769561888,
      0.00522531961949689,
      0.005070238901558154,
      0.00491758402205326,
      0.0047673169157912195,
      0.0046194003357115185,
      0.004473797477655548,
      0.004330472153966172,
      0.004189388835945067,
      0.004050512444361314,
      0.003913808313492187,
      0.0037792425451183462,
      0.0036467817097191,
      0.0035163928745354294,
      0.0033880435378604895,
      0.00326170187674981,
      0.0031373364501534697,
      0.003014916355804906,
      0.0028944112166986616,
      0.0027757908966439195,
      0.002659025992548453,
      0.0025440876299495435,
      0.0024309470442973064,
      0.0023195762251620117,
      0.002209947488081108,
      0.0021020335249405803,
      0.0019958075893885536,
      0.0018912432837188695,
      0.0017883146016167547,
      0.0016869958449382662,
      0.0015872619301442088,
      0.0014890881306959826,
      0.0013924499927238034,
      0.0012973233726779295,
      0.0012036847560396218,
      0.0011115107958930915,
      0.001020778596734427,
      0.0009314656372188397,
      0.0008435497645496792,
      0.0007570091264254349,
      0.0006718222062677911,
      0.0005879677706035451,
      0.0005054249126817151,
      0.0004241731868649323,
      0.0003441923629470753,
      0.00026546248653573537,
      0.00018796418274881152,
      0.00011167812809552762,
      3.658526105110795e-05,
      -3.733305095990645e-05,
      -0.00011009511037683581,
      -0.00018171902475744756,
      -0.0002522224981405953,
      -0.0003216230849735469,
      -0.0003899380426489777,
      -0.0004571844694257415,
      -0.0005233790532796085,
      -0.0005885381948463745,
      -0.0006526781098848532,
      -0.0007158147974770735,
      -0.0007779639058566262,
      -0.0008391408635537496,
      -0.0008993609274714641,
      -0.0009586389499176041,
      -0.0010169897679707977,
      -0.0010744278988556852,
      -0.0011309675591046025,
      -0.0011866228283237217,
      -0.001241407500825855,
      -0.0012953351843941708,
      -0.0013484192965031257,
      -0.00140067312974727,
      -0.0014521096176603777,
      -0.0015027416272764007,
      -0.0015525816216216176,
      -0.0016016420140548171,
      -0.0016499350132743945,
      -0.0016974725504945777,
      -0.0017442664980006736,
      -0.0017903284550075664,
      -0.001835670009447879,
      -0.0018803023444704868,
      -0.0019242365178022012,
      -0.001967483428796311,
      -0.002010053924898193,
      -0.0020519585578563527,
      -0.0020932077269976684,
      -0.002133811675609698,
      -0.002173780511960904,
      -0.0022131241980683186,
      -0.0022518524871511917,
      -0.0022899750063952702,
      -0.0023275012247211424,
      -0.0023644404136359373,
      -0.002400801728275255,
      -0.002436594281476473,
      -0.002471826924924359,
      -0.002506508373087409,
      -0.002540647383900273
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334999608988129,
      10.09448728968593,
      9.848113386258522,
      9.598593914572358,
      9.34830218885958,
      9.099296070654189,
      8.853289541679507,
      8.611639919860067,
      8.375349536217275,
      8.145084478858124,
      7.921205135055143,
      7.703805473886933,
      7.49276192686964,
      7.2877842758850555,
      7.088465012100982,
      6.894325023358462,
      6.704851107192853,
      6.519528033569964,
      6.337864742923234,
      6.159411104635752,
      5.983770648116866,
      5.810598954481809,
      5.63962002584877,
      5.47064054936879,
      5.303544796017246,
      5.138295003100928,
      4.974926497304172,
      4.813545585123427,
      4.654331551231195,
      4.497558838755135,
      4.3435630415076325,
      4.192704287818739,
      4.04536364847206,
      3.9019334855823273,
      3.762801070233881,
      3.628324564186134,
      3.4988218117694427,
      3.374562335166629,
      3.2557617388359366,
      3.142578579436407,
      3.035111310666361,
      2.9333865520096007,
      2.8373594540140057,
      2.746903292091579,
      2.661831338304691,
      2.5819162899988113,
      2.5069134752715465,
      2.436567254010277,
      2.370614141720301,
      2.3087782968769357,
      2.250759602650838,
      2.196199209647886,
      2.14472387466122,
      2.0959853341119143,
      2.049655717320156,
      2.00543172319094,
      1.9630627843347708,
      1.9223418991879315,
      1.8830965856925703,
      1.8451897558855643,
      1.8085083990374136,
      1.7729528360695466,
      1.7384372883970454,
      1.7048920518757966,
      1.6722590522211027,
      1.6404887572904074,
      1.6095380137753186,
      1.579368526913034,
      1.5499457830216885,
      1.5212382814146594,
      1.4932169821329495,
      1.46585418670329,
      1.4391223482616124,
      1.4129963990791559,
      1.3874535142392288,
      1.362474032176284,
      1.3380417417563577,
      1.3141408207963796,
      1.290757132079235,
      1.267877990693085,
      1.2454900201246892,
      1.2235795030806984,
      1.2021327106458954,
      1.181136107377407,
      1.1605764798606677,
      1.1404411686865366,
      1.1207188849408953,
      1.1013989874508339,
      1.082471287475587,
      1.0639257431560394,
      1.0457522958743202,
      1.027941013087969,
      1.0104821748265194,
      0.9933663239447846,
      0.9765842937570579,
      0.9601272201226335,
      0.943986544511808,
      0.9281540100261753,
      0.912621654205798,
      0.8973817997389264,
      0.8824270446333046,
      0.8677502510534089,
      0.8533445339477778,
      0.8392032504751092,
      0.8253199889931737,
      0.8116885593629796,
      0.7983029829066542,
      0.7851574940056715,
      0.7722465407110753,
      0.7595647492674461,
      0.747106914271228,
      0.7348679941546071,
      0.7228431045023535,
      0.7110275132959336,
      0.6994166349275499,
      0.6880060239402505,
      0.6767914107706728,
      0.6657690358907326,
      0.6549353520307417,
      0.6442867343434355,
      0.6338195463960943,
      0.6235301652093626,
      0.6134149634029233,
      0.6034703890997716,
      0.5936929920171438,
      0.5840794187946411,
      0.5746264083901846,
      0.5653307882321381,
      0.5561894703916185,
      0.5471994484861179,
      0.538357794475592,
      0.5296616560101108,
      0.5211082533079284,
      0.5126948768059281,
      0.5044188847873259,
      0.49627770072757177,
      0.48826881139057515,
      0.4803897643966808,
      0.47263816616667487,
      0.4650116801801528,
      0.4575086281180526,
      0.4501276726769876,
      0.44286717240841666,
      0.43572531070201964,
      0.4287001754587206,
      0.42178980997692855,
      0.4149922452383247,
      0.4083055197715863,
      0.4017276920606078,
      0.3952568483001671,
      0.38889110668294996,
      0.3826287960523176,
      0.3764684430551404,
      0.37040849752129296,
      0.3644473504395077,
      0.3585833680399138,
      0.35281491303290996,
      0.3471403582023217,
      0.34155809429191825,
      0.33606653517290963,
      0.33066422291056025,
      0.32534978718083146,
      0.32012182371296477,
      0.3149789141055975,
      0.30991964107015924,
      0.30494259790457645,
      0.3000464000842659,
      0.29522955904677467,
      0.2904904685335906,
      0.28582762696560715,
      0.28123962821107695,
      0.2767251361301116,
      0.27228286758076925,
      0.26791158183102765,
      0.263610073084389,
      0.25937716548445733,
      0.25521171007479665,
      0.2511124579087194,
      0.24707813364047052,
      0.24310793040188178,
      0.2392010590035608,
      0.23535664886855928,
      0.23157378207509716,
      0.2278515159034238,
      0.22418889735784991,
      0.2205849726342838,
      0.21703879337713608,
      0.213549420297897,
      0.2101159257998546,
      0.20673739542867675,
      0.2034129287931817,
      0.20014159478664878,
      0.19692240681534187,
      0.19375442283547534,
      0.1906367491107863,
      0.18756852839549493,
      0.18454893223952723,
      0.18157715553008977,
      0.17865241310979937,
      0.17577393727727986,
      0.17294097603386707,
      0.1701527919691339,
      0.16740866134964927,
      0.16470787349055308,
      0.16204973038381493,
      0.1594335460853583,
      0.15685864633092544,
      0.15432436851345344,
      0.15183006129700846,
      0.14937508419131065,
      0.1469588075118192,
      0.14458061219164725,
      0.14223988940043558,
      0.13993604048470978,
      0.13766847669545612,
      0.13543661907806095,
      0.13323989841593584,
      0.1310777547642693,
      0.12894963734834455,
      0.126855004591041,
      0.12479332379306676,
      0.12276407103105408,
      0.12076673096165928,
      0.11880079664646458,
      0.11686576939626041,
      0.1149611586288082,
      0.11308648185414855,
      0.11124126449498291,
      0.10942503960542663,
      0.1076373478560987,
      0.10587773734670326,
      0.10414576351329922,
      0.10244098909146664,
      0.10076298375379214,
      0.09911132417122606,
      0.09748559394551004,
      0.09588538325943798,
      0.0943102888611056,
      0.09275991419160548,
      0.09123386891831303,
      0.0897317690304705,
      0.08825323664495013,
      0.08679789997926146,
      0.08536539308853597,
      0.08395535605534064,
      0.08256743472647893,
      0.081201280457856,
      0.07985655025366264,
      0.0785329066841278,
      0.07723001762586844,
      0.07594755621495176,
      0.07468520093038394,
      0.07344263535311189,
      0.07221954801673107,
      0.07101563246668612,
      0.06983058708328,
      0.06866411503677214,
      0.06751592414530523,
      0.06638572700741441,
      0.06527324079277434,
      0.0641781871703239,
      0.06310029218002562,
      0.0620392860855662,
      0.0609949035384205,
      0.05996688335418408,
      0.05895496857154838,
      0.0579589062057469,
      0.0569784472935796,
      0.05601334680037249,
      0.05506336369472179,
      0.05412826057339767,
      0.05320780387902249,
      0.05230176375660706,
      0.051409913949798214,
      0.050532031811956854,
      0.04966789820081607,
      0.04881729737332559,
      0.04798001696024883,
      0.04715584807437809,
      0.0463445850472352,
      0.04554602539367189,
      0.04475996998017429,
      0.043986222737807605,
      0.04322459063504862,
      0.04247488370674119,
      0.0417369149323402,
      0.04101050024964546,
      0.040295458541515616,
      0.0395916115799418,
      0.038898783863045745,
      0.038216802698557074,
      0.03754549813521725,
      0.036884702838191834,
      0.03623425206030916,
      0.03559398378240786,
      0.03496373842189243,
      0.034343358925964594,
      0.03373269076018444,
      0.03313158166799711,
      0.03253988194827179,
      0.031957444214447676,
      0.031384123372523644,
      0.030819776518718242,
      0.030264263170484095,
      0.029717444952983448,
      0.029179185599216544,
      0.028649351060155145,
      0.02812780936237662,
      0.027614430773030784,
      0.027109087432633728,
      0.026611653440277636,
      0.026122005029557634,
      0.02564002020507161,
      0.025165578952589876,
      0.02469856311908392,
      0.02423885642798284,
      0.023786344354729125,
      0.023340914302101667,
      0.022902455452198326,
      0.022470858663425436,
      0.02204601650142487,
      0.021627823117251862,
      0.0212161744629272,
      0.020810968017480322,
      0.020412103123461228,
      0.02001948031271895,
      0.01963300187132954,
      0.01925257162823564,
      0.01887809494765674,
      0.018509478619167956,
      0.01814663094426838,
      0.01778946159950478,
      0.017437881728000672,
      0.0170918037947796,
      0.016751141720936905,
      0.016415810666887628,
      0.016085727170779003,
      0.015760809075683915,
      0.015440975519428532,
      0.015126147024640229,
      0.014816245250748934,
      0.01451119291584383,
      0.014210914333578538,
      0.013915334702605269,
      0.013624380468759903,
      0.013337979310083674,
      0.013056059904104467,
      0.012778552074327543,
      0.012505386750404697,
      0.012236495958048715,
      0.011971812864249911,
      0.011711271642148809,
      0.011454807410282392,
      0.01120235635961653,
      0.010953855720410534,
      0.010709243725852653,
      0.0104684595074064,
      0.010231443035659043,
      0.00999813534283869,
      0.009768478482333495,
      0.009542415384077407,
      0.009319889745107425,
      0.009100846228584652,
      0.008885230380092018,
      0.008672988515849134,
      0.008464067785725091,
      0.008258416162894406,
      0.008055982545086484,
      0.007856716617681975,
      0.00766056873900412,
      0.00746749023530535,
      0.0072774329679735975,
      0.007090349685386117,
      0.006906193888381552,
      0.006724919660565845,
      0.006546481958627641,
      0.00637083641674449,
      0.006197939337726453,
      0.00602774771231602,
      0.005860219190301647,
      0.00569531211179312,
      0.005532985426070193,
      0.005373198797857933,
      0.0052159124616079355,
      0.005061087275315991,
      0.004908684796012287,
      0.004758667078034467,
      0.004610996771943818,
      0.004465637099032846,
      0.004322551935781996,
      0.004181705710348901,
      0.0040430633455890135,
      0.003906590515735005,
      0.0037722532445435913,
      0.003640018058091686,
      0.003509852025428339,
      0.003381722718024762,
      0.0032555983560881223,
      0.0031314475565924634,
      0.0030092394583771443,
      0.002888943588001735,
      0.0027705300201061878,
      0.002653969361845998,
      0.0025392324909872125,
      0.00242629099526422,
      0.002315116799700126,
      0.0022056821966381954,
      0.0020979599404201466,
      0.0019919232676311486,
      0.001887545830210958,
      0.0017848016620754792,
      0.0016836651661670111,
      0.0015841112175389702,
      0.0014861150519773748,
      0.001389652315114586,
      0.0012946989413235273,
      0.0012012313265315612,
      0.0011092262098821467,
      0.001018660875356595,
      0.000929512731532916,
      0.000841759502931755,
      0.0007553794224460194,
      0.0006703509041159977,
      0.0005866528910153043,
      0.0005042645944016117,
      0.00042316548843501463,
      0.0003433354014243111,
      0.00026475436650600894,
      0.000187402937862179,
      0.00011126187888638746,
      3.631222669660584e-05,
      -3.746469344399478e-05,
      -0.00011008708684128021,
      -0.00018157312348783365,
      -0.00025194063402654186,
      -0.0003212071351828967,
      -0.0003893898223049309,
      -0.000456505706913453,
      -0.0005225713589169395,
      -0.0005876031306875382,
      -0.0006516173423295103,
      -0.0007146298748151952,
      -0.0007766563976545115,
      -0.0008377123861860124,
      -0.0008978129530528336,
      -0.0009569731558805195,
      -0.001015207712558069,
      -0.001072531078314098,
      -0.0011289573943328046,
      -0.0011845007213685187,
      -0.001239174885054762,
      -0.0012929935300636567,
      -0.0013459700974958629,
      -0.0013981177248594476,
      -0.0014494493548567792,
      -0.0014999778500994448,
      -0.0015497156551482888,
      -0.0015986751192416844,
      -0.001646868474710995,
      -0.0016943078022445348,
      -0.0017410048620710417,
      -0.0017869712737883505,
      -0.0018322183646835198,
      -0.0018767574242102342,
      -0.0019205995700531627,
      -0.0019637556455653496,
      -0.002006236434223946,
      -0.002048052542686384,
      -0.0020892143154887864,
      -0.0021297320534792406,
      -0.0021696157808569214,
      -0.0022088754054272308,
      -0.002247520693866788,
      -0.002285561316476759,
      -0.002323006655945927,
      -0.002359865990712453,
      -0.0023961485313492544,
      -0.002431863443967327,
      -0.002467019510811311,
      -0.0025016253811526077,
      -0.002535689694264559
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334996186238147,
      10.094474878790466,
      9.848085754124764,
      9.59854657746796,
      9.348232002771264,
      9.09920096384957,
      8.853168267481635,
      8.611491845831296,
      8.37517445950007,
      8.144882620650135,
      7.920976914256431,
      7.703551338997608,
      7.492482303621354,
      7.287479538314772,
      7.088135465060233,
      6.8939709088507035,
      6.704472656354371,
      6.5191255019912235,
      6.337438475682178,
      6.158961592201684,
      5.983298559740354,
      5.810105229603369,
      5.639105817532788,
      5.470107235508018,
      5.30299401019483,
      5.137728609999976,
      4.9743464973466445,
      4.812954276728557,
      4.653731812643351,
      4.49695421477603,
      4.342957065288225,
      4.192100505842081,
      4.044765558569856,
      3.901344607216076,
      3.7622247787192755,
      3.627763939785548,
      3.498279590652292,
      3.3740408708762146,
      3.255262977662053,
      3.1421040497426636,
      3.034662052449313,
      2.9329630450974546,
      2.836961692434111,
      2.7465306339883346,
      2.6614824511742103,
      2.5815894937270074,
      2.5066069196038723,
      2.4362790251905717,
      2.370342192803658,
      2.3085204975884013,
      2.250513820418665,
      2.1959629154548734,
      2.1444946787824977,
      2.0957610718485564,
      2.0494344326276366,
      2.0052116690141,
      1.962842563309954,
      1.9221204741557847,
      1.8828732153623502,
      1.8449639151270971,
      1.8082796857942713,
      1.7727209273825615,
      1.7382019831654683,
      1.7046532350844104,
      1.6720166693335599,
      1.6402427954642167,
      1.609288489937568,
      1.5791154776340062,
      1.5496892577263592,
      1.5209783390920968,
      1.4929536879356846,
      1.4655876483148997,
      1.4388526924565386,
      1.4127237333851708,
      1.3871779413368304,
      1.3621957632231048,
      1.3377610459611209,
      1.3138578968179984,
      1.2904723328267478,
      1.2675916499945112,
      1.2452023727769579,
      1.2232907181339285,
      1.2018429138205025,
      1.1808453955193428,
      1.160284926626664,
      1.1401488353394025,
      1.1204258420272712,
      1.1011053008258933,
      1.0821770235112464,
      1.0636309588383537,
      1.0454570416559592,
      1.0276453349116574,
      1.0101861158308882,
      0.993069925295396,
      0.9762875948564902,
      0.9598302594216466,
      0.9436893593951786,
      0.9278566371988771,
      0.9123241293572046,
      0.8970841582151933,
      0.8821293214909525,
      0.8674524805447775,
      0.8530467499126257,
      0.8389054862656626,
      0.8250222777974902,
      0.8113909339602952,
      0.7980054764312771,
      0.7848601499907978,
      0.7719494014012709,
      0.7592678522940488,
      0.7468102941908955,
      0.7345716828781085,
      0.7225471327524451,
      0.7107319103752865,
      0.6991214287044635,
      0.6877112416118987,
      0.6764971394564644,
      0.6654754449000951,
      0.6546425562804585,
      0.6439948140117449,
      0.6335285588199461,
      0.6232401521536938,
      0.6131259559345236,
      0.6031824124477398,
      0.5934060677866149,
      0.5837935656870213,
      0.5743416432124928,
      0.5650471265374611,
      0.5559069267515149,
      0.5469180368052345,
      0.5380775280934775,
      0.5293825476933058,
      0.520830315386554,
      0.5124181212773183,
      0.5041433231842228,
      0.4960033443090406,
      0.4879956707928518,
      0.48011784978492417,
      0.47236748738005224,
      0.46474229170631043,
      0.4572406463146615,
      0.4498611727269661,
      0.44260220299110375,
      0.43546190321166767,
      0.42843835033458383,
      0.4215295804976493,
      0.4147336197855301,
      0.40804850371616663,
      0.4014722887431807,
      0.39500305972026245,
      0.3886389337979237,
      0.382378264281614,
      0.3762195783812791,
      0.3701613150905244,
      0.364201858583306,
      0.3583395707675039,
      0.35257281133432766,
      0.3468999510573324,
      0.34131937951593716,
      0.33582951099225034,
      0.33042889732399006,
      0.3251161666530946,
      0.31988991036272674,
      0.31474870700636337,
      0.3096911373337036,
      0.30471579342410593,
      0.2998212909568334,
      0.2950061443565458,
      0.29026874608181735,
      0.2856075932572524,
      0.28102127866188814,
      0.27650846531902423,
      0.2720678696876502,
      0.2676982505240558,
      0.26339840170876083,
      0.25916714724829265,
      0.2550033380546258,
      0.25090580212298175,
      0.24687330439325927,
      0.24290500584008382,
      0.23900008592756722,
      0.2351576533293529,
      0.23137677654491173,
      0.2276565038874099,
      0.2239958764949658,
      0.22039393668052862,
      0.2168497333968428,
      0.21336232579269765,
      0.20993078500308937,
      0.20655419587412271,
      0.20323165749823052,
      0.1999622343995044,
      0.19674493953044342,
      0.193578832307478,
      0.19046301994413334,
      0.1873966459038976,
      0.18437888216902354,
      0.18140892397349997,
      0.17848598626938747,
      0.17560930145561826,
      0.17277811773883486,
      0.16999169772654707,
      0.16724931769954401,
      0.16455026716101462,
      0.16189384803854254,
      0.15927937445216378,
      0.15670617224067154,
      0.1541735788116334,
      0.15168094266558507,
      0.1492276233322778,
      0.1468129912602575,
      0.1444364273104518,
      0.14209732269894357,
      0.13979507889889803,
      0.13752910717713857,
      0.13529882869387314,
      0.1331036741218087,
      0.13094308358619736,
      0.12881650642947698,
      0.12672340105443466,
      0.12466323476925967,
      0.12263548371085282,
      0.12063963257894704,
      0.11867517441618403,
      0.11674161054122835,
      0.11483845056521619,
      0.11296521211048109,
      0.11112142049104365,
      0.1093066088187243,
      0.10752031783555327,
      0.10576209573285293,
      0.10403149809037089,
      0.10232808752806505,
      0.10065143376921303,
      0.09900111363821221,
      0.09737671068134592,
      0.09577781524333896,
      0.09420402410193195,
      0.09265494069736639,
      0.09113017479903815,
      0.08962934247426338,
      0.08815206593838947,
      0.086697973359947,
      0.08526669896270665,
      0.08385788287261964,
      0.08247117089616095,
      0.0811062146304883,
      0.07976267113581606,
      0.07844020298410853,
      0.07713847804011811,
      0.07585716962796249,
      0.07459595622041605,
      0.07335452148753431,
      0.07213255400747975,
      0.07092974733224038,
      0.06974579999824232,
      0.06858041529749101,
      0.06743330116447886,
      0.06630417025843056,
      0.06519273974422278,
      0.06409873142121143,
      0.06302187129002954,
      0.061961889735684464,
      0.06091852143132674,
      0.059891505295875495,
      0.058880584404052395,
      0.05788550587327785,
      0.05690602085497624,
      0.05594188445483331,
      0.05499285558507613,
      0.05405869704431257,
      0.0531391753191635,
      0.05223406065412087,
      0.05134312675378824,
      0.05046615092462879,
      0.04960291413759233,
      0.048753200837698685,
      0.047916798779385136,
      0.04709349905255761,
      0.046283096149658094,
      0.04548538765447401,
      0.04470017443283714,
      0.04392726046639298,
      0.04316645277147834,
      0.0424175615332643,
      0.0416803998255577,
      0.04095478363753761,
      0.04024053196575344,
      0.039537466678834066,
      0.03884541235199365,
      0.0381641963378512,
      0.037493648631226895,
      0.036833602037137855,
      0.036183891948268106,
      0.03554435633010589,
      0.03491483564906291,
      0.03429517284792852,
      0.03368521352219125,
      0.03308480556563415,
      0.03249379930187433,
      0.03191204749840031,
      0.03133940500767049,
      0.03077572910386027,
      0.030220879294348975,
      0.029674717197195152,
      0.02913710673200632,
      0.02860791395081649,
      0.02808700687719508,
      0.027574255874750413,
      0.027069533044713566,
      0.026572712635614625,
      0.026083670869738014,
      0.025602285878867516,
      0.02512843774917912,
      0.024662008332064746,
      0.02420288141797365,
      0.02375094272064554,
      0.02330607967177509,
      0.02286818140658205,
      0.022437138762349595,
      0.022012844379224853,
      0.021595192626498567,
      0.021184079400628556,
      0.020779402366484383,
      0.02038106066623774,
      0.01998895506517629,
      0.01960298784291127,
      0.01922306299588382,
      0.01884908588018091,
      0.01848096335636026,
      0.018118603755054613,
      0.017761916829617978,
      0.017410813828622113,
      0.017065207262687565,
      0.016725011038680175,
      0.016390140427660394,
      0.01606051206356654,
      0.015736043845321752,
      0.015416654990556855,
      0.01510226602413194,
      0.014792798568302186,
      0.01448817560816961,
      0.014188321265983841,
      0.01389316088519275,
      0.01360262101130632,
      0.013316629294687727,
      0.013035114518653418,
      0.012758006453672139,
      0.012485236205414361,
      0.012216735887144614,
      0.011952438639994883,
      0.01169227873947349,
      0.011436191401327388,
      0.011184112794718088,
      0.010935980154324825,
      0.01069173181407925,
      0.010451306806187631,
      0.010214645232682205,
      0.00998168817030807,
      0.009752377770161651,
      0.009526656884567,
      0.009304469294498628,
      0.009085759673221535,
      0.00887047364304739,
      0.008658557733471857,
      0.008449959082550893,
      0.008244625668352826,
      0.008042506410082823,
      0.007843551024949026,
      0.007647709983443725,
      0.00745493454405937,
      0.007265176708490758,
      0.0070783891791590114,
      0.006894525460273168,
      0.0067135398468823075,
      0.006535387277384545,
      0.006360023372944912,
      0.006187404511555373,
      0.006017487675731111,
      0.005850230582593366,
      0.0056855916454623704,
      0.0055235298167449305,
      0.005364004783146174,
      0.0052069768645893605,
      0.005052406922280225,
      0.004900256389353292,
      0.004750487545863743,
      0.004603063160725906,
      0.004457946453738737,
      0.00431510125019308,
      0.004174491921577336,
      0.004036083563850132,
      0.0038998417458150363,
      0.00376573253300899,
      0.0036337226471967517,
      0.0035037791831506572,
      0.003375869701830415,
      0.0032499624214306347,
      0.0031260259143061067,
      0.003004029467194972,
      0.002883942782325462,
      0.0027657358141645297,
      0.0026493791222766466,
      0.002534843749124786,
      0.00242210118286321,
      0.0023111233790263984,
      0.002201882682083202,
      0.002094351907920332,
      0.0019885043197117474,
      0.0018843135993579984,
      0.0017817538013536886,
      0.001680799340057837,
      0.0015814250290225017,
      0.00148360627494795,
      0.001387318739338115,
      0.0012925384083479845,
      0.0011992416765434677,
      0.0011074053561033346,
      0.001017006573060928,
      0.0009280228365615478,
      0.0008404320140146575,
      0.0007542123461713613,
      0.0006693422279447972,
      0.0005858005501147102,
      0.0005035664697126535,
      0.0004226196656601995,
      0.000342939978859855,
      0.00026450744781229265,
      0.00018730255453835296,
      0.00011130616698494404,
      3.6499323952286916e-05,
      -3.7136489250318676e-05,
      -0.00010961966820324018,
      -0.00018096826245067807,
      -0.00025119998928237647,
      -0.0003203323604814579,
      -0.00038838257903244194,
      -0.0004553676516175865,
      -0.0005213042515241303,
      -0.0005862088161337714,
      -0.0006500974459463539,
      -0.0007129860059793205,
      -0.0007748901689724148,
      -0.0008358252351183438,
      -0.0008958064721098501,
      -0.000954848799705746,
      -0.0010129669693579538,
      -0.0010701753609861932,
      -0.0011264883450919,
      -0.001181919887279986,
      -0.0012364837049986441,
      -0.0012901934932138582,
      -0.001343062602796234,
      -0.001395104118295988,
      -0.0014463310175384272,
      -0.0014967560317580134,
      -0.0015463916764384441,
      -0.0015952503258833432,
      -0.0016433441537350999,
      -0.0016906851934487036,
      -0.001737285258318097,
      -0.0017831558606342108,
      -0.001828308460520167,
      -0.0018727543198854986,
      -0.001916504489474629,
      -0.001959569852427461,
      -0.0020019610777252702,
      -0.002043688738513467,
      -0.002084763232820252,
      -0.0021251947668417485,
      -0.002164993458936459,
      -0.002204169156631725,
      -0.002242731557849012,
      -0.002280690395403094,
      -0.0023180551126042643,
      -0.0023548349831674395,
      -0.0023910390964854552,
      -0.0024266764697952093,
      -0.0024617559816232665,
      -0.00249628648329691,
      -0.002530276413568334
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334992764098072,
      10.094462469824661,
      9.848058123480417,
      9.598499240389605,
      9.348161812295874,
      9.099105844876977,
      8.853046973215434,
      8.61134374511167,
      8.374999350341948,
      8.144680724259333,
      7.920748649930669,
      7.703297157180495,
      7.49220262925807,
      7.287174744729737,
      7.087805858283565,
      6.8936167312309795,
      6.704094140809585,
      6.518722905868009,
      6.337012143258722,
      6.158512014266251,
      5.982826408543429,
      5.809611447968572,
      5.6385915612552235,
      5.469573886769165,
      5.302443218195748,
      5.137162253620435,
      4.973766575562989,
      4.812363085746297,
      4.653132228651464,
      4.496349780075869,
      4.342351309892161,
      4.1914969737993735,
      4.044167747545695,
      3.9007560356665842,
      3.761648817955547,
      3.627203665501241,
      3.497737733600817,
      3.373519779498901,
      3.25476459412475,
      3.141629898102885,
      3.034213167970746,
      2.9325398870480646,
      2.83656423822599,
      2.7461582453631985,
      2.661133798258717,
      2.581262899440101,
      2.506300536915717,
      2.4359909430887763,
      2.37007036824443,
      2.3082628053760375,
      2.2502681326923777,
      2.195726705922854,
      2.1442655599693414,
      2.095536882344328,
      2.0492132184385796,
      2.0049916849484957,
      1.9626224136992907,
      1.921899121862721,
      1.8826499193768536,
      1.844738152255422,
      1.8080510550269244,
      1.7724891056373717,
      1.737966770033067,
      1.7044145159873922,
      1.671774389615354,
      1.6399969425717233,
      1.6090390803281356,
      1.5788625476675928,
      1.5494328574885246,
      1.5207185271717485,
      1.4926905287884438,
      1.4653212441552397,
      1.4385831718719675,
      1.4124512058778247,
      1.3869025110123765,
      1.3619176849512025,
      1.3374805735457178,
      1.3135752875661284,
      1.2901879642808567,
      1.267305814638729,
      1.2449152778701176,
      1.2230025151567483,
      1.2015537168576809,
      1.1805552938711867,
      1.159993993638164,
      1.1398571307015202,
      1.120133432790405,
      1.1008122501658626,
      1.0818833960848255,
      1.0633368104190106,
      1.0451624219321902,
      1.0273502897114526,
      1.0098906879611398,
      0.9927741555744006,
      0.9759915228309859,
      0.9595339235659766,
      0.9433927972005313,
      0.927559885099992,
      0.9120272236163784,
      0.8967871345264339,
      0.8818322148296348,
      0.8671553255680269,
      0.8527495807913059,
      0.8386083366603153,
      0.8247251809273277,
      0.8110939222048916,
      0.7977085878916668,
      0.7845634299504718,
      0.7716528895230167,
      0.7589715844511816,
      0.7465143037459675,
      0.7342760011591999,
      0.7222517895416742,
      0.710436934487637,
      0.6988268480986444,
      0.6874170835422082,
      0.6762035247366294,
      0.6651825306365728,
      0.6543504498590075,
      0.6437035905568573,
      0.6332382723137147,
      0.6229508424398187,
      0.6128376529240702,
      0.6028951406956099,
      0.5931198480668589,
      0.5835084164985238,
      0.5740575813544737,
      0.5647641675200549,
      0.5556250853230474,
      0.5466373268333156,
      0.5377979626923061,
      0.5291041396214803,
      0.5205530770049135,
      0.5121420643724426,
      0.5038684590894126,
      0.4957296839930522,
      0.4877232249413902,
      0.4798466287997357,
      0.4720975012446607,
      0.4644735957996307,
      0.456973357134209,
      0.44959536484524026,
      0.44233792476719275,
      0.43519918603338564,
      0.4281772145156857,
      0.4212700390460265,
      0.41447568107287736,
      0.4077921730836238,
      0.40121756945605436,
      0.3947499536569417,
      0.3883874420530516,
      0.382128412237968,
      0.3759713915811307,
      0.36991480875080224,
      0.3639570412608107,
      0.358096446444676,
      0.35233138115467527,
      0.34666021423296295,
      0.3410813338556406,
      0.3355931593091892,
      0.33019424943878417,
      0.32488322677029724,
      0.31965867895600386,
      0.314519182253357,
      0.3094633157762354,
      0.30448967041613384,
      0.2995968620339205,
      0.29478340850020046,
      0.2900477014363515,
      0.28538823627761706,
      0.2808036046389112,
      0.2762924687707268,
      0.2718535445805015,
      0.2674855906299823,
      0.26318740046351186,
      0.2589577978354234,
      0.2547956335127752,
      0.2506997824984327,
      0.24666909354765593,
      0.24270268811206472,
      0.23879971213338638,
      0.23495925222596628,
      0.23118036239216402,
      0.22746208144835414,
      0.223803444115732,
      0.2202034884926501,
      0.21666126085322554,
      0.21317581835251245,
      0.20974623103700163,
      0.20637158290231158,
      0.20305097256410257,
      0.19978346024255547,
      0.19656805834935578,
      0.19340382780137982,
      0.19028987684022258,
      0.1872253495773285,
      0.18420941832801127,
      0.18124127872646698,
      0.1783201459635349,
      0.17544525249039272,
      0.17261584655047008,
      0.16983119082926101,
      0.16709056175800216,
      0.16439324877652914,
      0.1617385538461043,
      0.15912579104499322,
      0.15655428631055524,
      0.1540233770279767,
      0.15153241175757204,
      0.1490807501769637,
      0.14666776258251335,
      0.1442928299167139,
      0.1419553435193394,
      0.13965470477505498,
      0.13739032501228768,
      0.1351616252585315,
      0.13296803632978535,
      0.1308089983761604,
      0.12868396089434106,
      0.12659238227200512,
      0.12453372986152696,
      0.12250747982676707,
      0.12051311691512823,
      0.1185501341929229,
      0.11661803311198476,
      0.11471632332914301,
      0.1128445223737939,
      0.11100215577963628,
      0.10918875668227303,
      0.10740386589970465,
      0.1056470316434469,
      0.10391780944454615,
      0.10221576207853787,
      0.10054045938099702,
      0.09889147809272968,
      0.0972684018302596,
      0.09567082099038961,
      0.09409833248663875,
      0.09255053980734344,
      0.09102705276506778,
      0.08952748743991677,
      0.08805146615699924,
      0.08659861724366454,
      0.08516857489403834,
      0.08376097922206249,
      0.08237547620195454,
      0.08101171740055206,
      0.07966935995811038,
      0.07834806656037165,
      0.07704750528080738,
      0.07576734944865054,
      0.07450727751659976,
      0.07326697311523561,
      0.07204612499915024,
      0.07084442684928063,
      0.06966157723944338,
      0.06849727943608423,
      0.06735124151406503,
      0.06622317619110502,
      0.06511280070469666,
      0.06401983695052543,
      0.06294401096346408,
      0.06188505319636647,
      0.060842698471704246,
      0.05981668578399054,
      0.05880675832131296,
      0.05781266319347824,
      0.05683415158548111,
      0.055870978697056185,
      0.05492290355710377,
      0.053989688925649565,
      0.05307110143581903,
      0.05216691125376425,
      0.05127689235325678,
      0.05040082221605283,
      0.04953848176828263,
      0.048689655428245826,
      0.04785413109737273,
      0.0470317000309936,
      0.04622215666454584,
      0.04542529873446861,
      0.04464092712591831,
      0.043868845798898645,
      0.04310886206342169,
      0.042360786049664055,
      0.0416244308635947,
      0.040899612661475966,
      0.040186150599258445,
      0.03948386635760138,
      0.03879258467225074,
      0.03811213301428101,
      0.03744234144881209,
      0.03678304285423408,
      0.03613407263329105,
      0.035495268774371445,
      0.034866471945124954,
      0.034247525207967394,
      0.03363827412053348,
      0.033038566648287575,
      0.03244825321994486,
      0.03186718657636085,
      0.03129522179354328,
      0.03073221616196366,
      0.030178029189120183,
      0.02963252266136003,
      0.029095560549114906,
      0.02856700890807606,
      0.028046735902827465,
      0.02753461177482957,
      0.027030508907780724,
      0.026534301595765003,
      0.026045866028908397,
      0.02556508041342827,
      0.02509182489600277,
      0.024625981483010817,
      0.024167434055863798,
      0.02371606829846116,
      0.02327177152341361,
      0.02283443301970544,
      0.022403943810231728,
      0.02198019661325513,
      0.0215630857850078,
      0.021152507344960225,
      0.020748358982235596,
      0.020350540062075567,
      0.01995895132708468,
      0.01957349509359011,
      0.01919407537190298,
      0.018820597547174536,
      0.018452968543378433,
      0.01809109675104523,
      0.01773489204374838,
      0.017384265577687408,
      0.017039129977772585,
      0.01669939928148484,
      0.016364988780106206,
      0.016035815093842748,
      0.01571179625851867,
      0.015392851518612376,
      0.015078901456275913,
      0.014769867749709965,
      0.014465673553290951,
      0.014166242954420635,
      0.013871501337528135,
      0.01358137525682279,
      0.013295792441044963,
      0.013014681643591167,
      0.012737972878274117,
      0.012465597253135887,
      0.012197486891049294,
      0.011933575006977799,
      0.011673795868780305,
      0.011418084672845297,
      0.011166377716150066,
      0.010918612335675542,
      0.010674726747674284,
      0.010434660225055998,
      0.010198352953912396,
      0.0099657460086572,
      0.00973678156628472,
      0.009511402463140693,
      0.009289552498546549,
      0.00907117657076285,
      0.008856220206162791,
      0.008644629854454598,
      0.008436352780254118,
      0.00823133716800967,
      0.008029531924958179,
      0.007830886716069078,
      0.007635352039977007,
      0.007442879238380653,
      0.007253420304979196,
      0.007066928136171291,
      0.0068833562186599905,
      0.006702658816387706,
      0.006524790949565355,
      0.00634970830114836,
      0.006177367195395179,
      0.006007724738311618,
      0.00584073872564205,
      0.005676367451629672,
      0.005514570060755309,
      0.005355306215499657,
      0.00519853628156562,
      0.005044221172464751,
      0.004892322412178608,
      0.004742802175003204,
      0.004595623188094733,
      0.00445074888403041,
      0.004308143117319335,
      0.004167770353519256,
      0.0040295957395101445,
      0.0038935848074703387,
      0.0037597035943816286,
      0.003627918826574496,
      0.003498197598251838,
      0.0033705076433408017,
      0.0032448171257794395,
      0.0031210947628483154,
      0.0029993097277910604,
      0.002879431636962808,
      0.002761430678549643,
      0.0026452774383559454,
      0.0025309429879140787,
      0.0024183989044409228,
      0.002307617127487606,
      0.0021985699697670796,
      0.00209123030727549,
      0.001985571421993395,
      0.0018815670114252778,
      0.0017791911299269091,
      0.0016784183668659934,
      0.0015792237085580996,
      0.0014815822619215508,
      0.0013854697421622944,
      0.001290862167291526,
      0.0011977359548907465,
      0.0011060680014232387,
      0.0010158354005336218,
      0.0009270156713422501,
      0.0008395867080720565,
      0.0007535267954247209,
      0.0006688144338640736,
      0.0005854285418503033,
      0.0005033484110062165,
      0.0004225535613120349,
      0.00034302390231793475,
      0.0002647395844517662,
      0.00018768109908597947,
      0.00011182927195521496,
      3.716521965393759e-05,
      -3.632967988389969e-05,
      -0.00010867386055279877,
      -0.0001798852842609317,
      -0.0002499816131658865,
      -0.00031898045077592826,
      -0.0003868988193868557,
      -0.0004537536724414287,
      -0.0005195616173449343,
      -0.0005843390379651594,
      -0.0006481020572530809,
      -0.0007108667022734176,
      -0.0007726485217464614,
      -0.0008334629526372352,
      -0.0008933251516491164,
      -0.000952249914747988,
      -0.0010102519642885435,
      -0.0010673458095588574,
      -0.0011235456066739748,
      -0.0011788653985424196,
      -0.0012333189536517391,
      -0.0012869198712529937,
      -0.0013396814690699056,
      -0.0013916169248277379,
      -0.0014427391562621206,
      -0.0014930609416611276,
      -0.0015425947347841693,
      -0.0015913529681617481,
      -0.0016393476564390537,
      -0.0016865908192147882,
      -0.0017330942289875415,
      -0.0017788694448255793,
      -0.001823927895772249,
      -0.0018682808621613646,
      -0.0019119393608961928,
      -0.001954914175970185,
      -0.001997216097890159,
      -0.0020388556291485423,
      -0.002079843101489139,
      -0.0021201887740718395,
      -0.0021599027397939037,
      -0.0021989948442857742,
      -0.002237474743667179,
      -0.0022753520185466816,
      -0.002312636122852001,
      -0.002349336471798082,
      -0.002385462224205028,
      -0.0024210223059002384,
      -0.002456025540153684,
      -0.002490480682307818,
      -0.0025243963078463694
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334989345009358,
      10.094450069191414,
      9.848030505662784,
      9.59845192136368,
      9.348091647406093,
      9.099010757652243,
      8.852925714211311,
      8.61119568047868,
      8.374824304180581,
      8.144478940779038,
      7.920520542662498,
      7.703043170708909,
      7.491923183438549,
      7.286870207910053,
      7.087476533270957,
      6.893262857528528,
      6.703715948240978,
      6.518320649983714,
      6.336586170351784,
      6.158062814764028,
      5.982354652910082,
      5.809118076594112,
      5.638077727985642,
      5.469040972069487,
      5.3018928727352375,
      5.136596356049637,
      4.973187125621914,
      4.811772381285596,
      4.652533146188047,
      4.495745861772064,
      4.341746084177716,
      4.1908939825638925,
      4.043570486805055,
      3.900168020893544,
      3.7610734160496126,
      3.626643948079387,
      3.497196428130402,
      3.3729992311723045,
      3.254266741555601,
      3.141156262376371,
      3.033764781618898,
      2.932117203296699,
      2.8361672294248987,
      2.745786274554252,
      2.6607855358302084,
      2.580936668105415,
      2.5059944900473843,
      2.435703170556385,
      2.369798828843344,
      2.3080053766557684,
      2.250022689107463,
      2.1954907247457394,
      2.1440366567093716,
      2.0953128981566977,
      2.04899220211138,
      2.004771893559071,
      1.962402453122985,
      1.9216779571731049,
      1.8824268112661044,
      1.844512577804117,
      1.8078226131637491,
      1.772257473466127,
      1.737731747093955,
      1.7041759877209761,
      1.671532301501584,
      1.6397512823630511,
      1.608789864752708,
      1.5786098130159805,
      1.5491766538435845,
      1.5204589135932276,
      1.4924275702186804,
      1.4650550343589994,
      1.438313842292432,
      1.4121788672068107,
      1.3866272686089027,
      1.3616397945445953,
      1.3372002894067798,
      1.3132929034426475,
      1.2899038743224378,
      1.267020292354859,
      1.2446285185768322,
      1.222714662006503,
      1.201264878857756,
      1.1802655571673943,
      1.15970342866122,
      1.1395658023000599,
      1.1198414044615463,
      1.1005195828402328,
      1.0815901530711685,
      1.0630430467310852,
      1.0448681872887298,
      1.0270556297427342,
      1.0095956456078015,
      0.9924787716099495,
      0.9756958368332184,
      0.9592379739126459,
      0.9430966214113029,
      0.9272635199156033,
      0.911730705323233,
      0.896490498712897,
      0.8815354963879675,
      0.8668585588903365,
      0.8524527999055171,
      0.8383115752565828,
      0.8244284720699874,
      0.8107972986460955,
      0.7974120933153815,
      0.7842671080039538,
      0.7713567787721118,
      0.7586757200803642,
      0.746218718376587,
      0.7339807258067523,
      0.7219568540014981,
      0.7101423677096891,
      0.6985326781713916,
      0.6871233375396087,
      0.6759103463184725,
      0.6648900689203293,
      0.654058807162688,
      0.6434128386923532,
      0.6329484631863816,
      0.6226620141556761,
      0.6125498344483128,
      0.6026083558143912,
      0.5928341173421746,
      0.5832237581113228,
      0.5737740120353515,
      0.5644817025518609,
      0.5553437389906748,
      0.5463571127360656,
      0.5375188941239835,
      0.5288262292810335,
      0.5202763371326021,
      0.5118665071070995,
      0.5035940959030407,
      0.4954565259832212,
      0.4874512828112163,
      0.4795759128568995,
      0.4718280214700728,
      0.46420540733004667,
      0.45670657621322563,
      0.4493300660841806,
      0.44207415639843106,
      0.43493697922824026,
      0.42791658953529277,
      0.4210110091358277,
      0.41421825482789365,
      0.40753635580040537,
      0.4009633644430755,
      0.39449736266894436,
      0.38813647637146603,
      0.3818791018112335,
      0.375723756430502,
      0.3696688603457638,
      0.363712785483995,
      0.35785388564241655,
      0.3520905153700278,
      0.3464210419944303,
      0.3408438527538623,
      0.33535737185619396,
      0.32996016518499427,
      0.3246508497045818,
      0.3194280094919408,
      0.31429021834541854,
      0.3092360538460658,
      0.30426410600378806,
      0.29937299116768196,
      0.29456123023746394,
      0.28982721378414056,
      0.28516943564514763,
      0.28058648646418743,
      0.2760770276451719,
      0.27163977454663313,
      0.26727348534782003,
      0.26297695343720845,
      0.2587490023069907,
      0.25458848240349946,
      0.25049426866589963,
      0.24646531907476663,
      0.242500762209702,
      0.2385997020300968,
      0.23476119754259805,
      0.230984284437025,
      0.22726798942686785,
      0.223611339334126,
      0.22001336705451308,
      0.21647311527924282,
      0.2129896390709169,
      0.20956200691063454,
      0.2061893018122254,
      0.20287062174633194,
      0.19960502243615447,
      0.1963915158520859,
      0.19322916429465373,
      0.1901170769932652,
      0.1870543986924463,
      0.18404030217776318,
      0.18107398317566503,
      0.17815465716326423,
      0.17528155685600313,
      0.17245393047899685,
      0.16967104084204293,
      0.1669321643824315,
      0.16423659061804044,
      0.1615836214113043,
      0.158972570946053,
      0.15640276508720283,
      0.1538735412358802,
      0.15138424810101078,
      0.14893424543130268,
      0.14652290358024705,
      0.14414960342479882,
      0.1418137362370557,
      0.13951470353439704,
      0.1372519167431075,
      0.13502479701733586,
      0.13283277511868619,
      0.13067529120297103,
      0.1285517946986072,
      0.12646174416212103,
      0.12440460690693822,
      0.12237985911679135,
      0.12038698563676797,
      0.11842547965136202,
      0.11649484255397681,
      0.11459458409686003,
      0.1127242219442486,
      0.11088328148620391,
      0.10907129603974473,
      0.1072878063637186,
      0.10553236070002721,
      0.10380451467441287,
      0.10210383124690135,
      0.1004298802478074,
      0.09878223852199965,
      0.09716048972120149,
      0.0955642242403445,
      0.09399303913225236,
      0.09244653777126438,
      0.09092433011770039,
      0.08942603233687314,
      0.08795126678962362,
      0.08649966186600017,
      0.08507085185269228,
      0.08366447691036293,
      0.08228018313505701,
      0.08091762220783225,
      0.07957645119797555,
      0.07825633289421613,
      0.07695693539907375,
      0.07567793214952742,
      0.07441900178497056,
      0.07317982790035456,
      0.07196009929415184,
      0.070759509808881,
      0.0695777580500667,
      0.06841454733871088,
      0.0672695858593091,
      0.06614258634176841,
      0.06503326604633071,
      0.0639413468606718,
      0.06286655507666877,
      0.06180862120904548,
      0.06076728016042117,
      0.05974227091230028,
      0.05873333670253958,
      0.05774022481725802,
      0.05676268655094602,
      0.05580047711775572,
      0.0548533555390373,
      0.05392108481893505,
      0.053003431574803854,
      0.052100166126995785,
      0.05121106244270865,
      0.05033589801146037,
      0.049474453867454776,
      0.04862651447842123,
      0.047791867826207,
      0.04697030527756272,
      0.0461616213023899,
      0.04536561370665046,
      0.044582083444877185,
      0.0438108346485356,
      0.04305167457738297,
      0.04230441349008423,
      0.04156886464765501,
      0.0408448442456072,
      0.04013217134101833,
      0.03943066784163841,
      0.03874015851864014,
      0.03806047091896188,
      0.03739143526608706,
      0.036732884415507684,
      0.03608465387118188,
      0.03544658166607397,
      0.03481850849060272,
      0.03420027754530298,
      0.033591734444270736,
      0.03299272730626822,
      0.03240310656925566,
      0.03182272497243347,
      0.03125143766218993,
      0.030689102039887263,
      0.030135577707502352,
      0.029590726510767926,
      0.029054412412924068,
      0.028526501580216638,
      0.02800686228497624,
      0.027495364880588957,
      0.026991881689107884,
      0.026496287087263714,
      0.026008457371446116,
      0.02552827077017404,
      0.025055607514664062,
      0.02459034975852915,
      0.024132381358411586,
      0.02368158794100213,
      0.023237857142714435,
      0.02280107832896953,
      0.022371142351635412,
      0.021947942076378374,
      0.02153137199478674,
      0.021121328180274398,
      0.020717708371115345,
      0.020320411792447052,
      0.01992933941690365,
      0.01954439371026718,
      0.019165478675754195,
      0.018792499706770674,
      0.018425363846280657,
      0.01806397945424435,
      0.017708256414851513,
      0.017358106056761385,
      0.01701344101568117,
      0.016674175318273296,
      0.016340224445792237,
      0.016011505136408262,
      0.015687935402572028,
      0.015369434495589135,
      0.015055923028244213,
      0.014747322822457816,
      0.014443556933700414,
      0.014144549705508233,
      0.013850226504489792,
      0.013560513968782866,
      0.013275339783488004,
      0.012994632880929736,
      0.01271832332082966,
      0.012446342181437926,
      0.012178621531026721,
      0.011915094600246104,
      0.011655695711206396,
      0.011400360318733762,
      0.011149024782793603,
      0.010901626398662092,
      0.010658103500799794,
      0.010418395367224637,
      0.010182442140514548,
      0.009950184936365148,
      0.009721565943329472,
      0.00949652819606586,
      0.00927501558711142,
      0.009056972933154092,
      0.008842345866549866,
      0.008631080825630853,
      0.008423125194466785,
      0.008218427032615916,
      0.008016935386639001,
      0.007818600032906901,
      0.007623371465156064,
      0.00743120101171782,
      0.007242040778180516,
      0.007055843612175517,
      0.006872563140926359,
      0.0066921536400301575,
      0.006514570121283189,
      0.006339768366203021,
      0.006167704777646381,
      0.005998336463437073,
      0.0058316211058967995,
      0.00566751723499275,
      0.005505983963457952,
      0.005346981036543393,
      0.005190468832892353,
      0.005036408215489641,
      0.004884760835871724,
      0.004735488856640549,
      0.004588555069846511,
      0.004443922916553591,
      0.004301556305100264,
      0.00416141974926107,
      0.004023478324447467,
      0.0038876976133647083,
      0.0037540437679746005,
      0.00362248358667101,
      0.003492984186699417,
      0.0033655133330678295,
      0.003240039280315145,
      0.0031165306858428688,
      0.002994956722508312,
      0.0028752871928072296,
      0.0027574921940672235,
      0.0026415422746706896,
      0.0025274085792565725,
      0.0024150627417136488,
      0.0023044766784182384,
      0.0021956228152034568,
      0.002088474055400603,
      0.0019830036734770295,
      0.001879185413626328,
      0.0017769933359114791,
      0.0016764020897486838,
      0.0015773865406751729,
      0.0014799219581818153,
      0.001383984064765431,
      0.0012895489915558645,
      0.001196593152761818,
      0.0011050934204072207,
      0.0010150268805902633,
      0.0009263711255032786,
      0.0008391041207673553,
      0.000753204169807972,
      0.0006686496887092373,
      0.0005854197005124834,
      0.0005034934410208327,
      0.00042285042358537007,
      0.000343470568662574,
      0.00026533418220080554,
      0.00018842175115025965,
      0.00011271408304543428,
      3.8192237064468116e-05,
      -3.5162251303596286e-05,
      -0.00010736762731653588,
      -0.00017844193760141892,
      -0.00024840293580636984,
      -0.00031726802490198347,
      -0.00038505438916997155,
      -0.0004517789789161331,
      -0.0005174583926667057,
      -0.0005821090377096375,
      -0.0006457469527103631,
      -0.0007083880234467759,
      -0.0007700478351483986,
      -0.0008307417464899824,
      -0.0008904850134731414,
      -0.0009492925248736895,
      -0.0010071789307886743,
      -0.0010641584773038038,
      -0.001120245508039451,
      -0.0011754539857486963,
      -0.0012297976935985433,
      -0.001283290181135533,
      -0.0013359447730208536,
      -0.0013877745831905749,
      -0.0014387925088532362,
      -0.0014890112368162972,
      -0.0015384432614985223,
      -0.0015871009720524931,
      -0.0016349964784426396,
      -0.0016821418433471055,
      -0.0017285487606887805,
      -0.0017742286714487743,
      -0.00181919305039147,
      -0.001863453139312842,
      -0.0019070199338831438,
      -0.0019499043353052162,
      -0.0019921169190423855,
      -0.0020336683202127883,
      -0.0020745688999926617,
      -0.002114828824340606,
      -0.002154458161266074,
      -0.002193466761297698,
      -0.00223186426434393,
      -0.002269660232993709,
      -0.0023068641518015722,
      -0.0023434852928499884,
      -0.0023795327393089506,
      -0.0024150156058374444,
      -0.0024499426415215343,
      -0.00248432255699781,
      -0.002518163969596152
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33498593009004,
      10.094437682631652,
      9.848002913480844,
      9.598404637996286,
      9.34802152761704,
      9.098915728021085,
      8.852804526138453,
      8.611047701020533,
      8.374649366530726,
      8.144277298849044,
      7.920292607032333,
      7.702789384091517,
      7.491643965891603,
      7.286565928756646,
      7.0871474937766035,
      6.892909298915698,
      6.703338101423066,
      6.517918770021859,
      6.336160601264351,
      6.157614046588997,
      5.981883357021036,
      5.808625197089482,
      5.637564421572136,
      5.468508621277032,
      5.301343127095516,
      5.136031094415503,
      4.972608348777576,
      4.811182386890177,
      4.651934810862134,
      4.495142726356336,
      4.3411416744752,
      4.190291836671751,
      4.042974095133345,
      3.899580894541142,
      3.760498917677005,
      3.6260851444292275,
      3.496656041025917,
      3.3724796006986875,
      3.253769801241153,
      3.140683529052574,
      3.033317283673177,
      2.9316953898518956,
      2.8357710399000484,
      2.745415048749381,
      2.6604379513989196,
      2.580611055556275,
      2.5056890094245197,
      2.4354159183925397,
      2.3695277700758157,
      2.307748393942512,
      2.2497776622332144,
      2.195255136159802,
      2.1438081268877727,
      2.095089272238714,
      2.048771529294153,
      2.004552431631029,
      1.9621828119734452,
      1.921457105442691,
      1.8822040119435979,
      1.8442873097776638,
      1.8075944771335173,
      1.772026147377641,
      1.737497030854871,
      1.7039377672738238,
      1.671290522961853,
      1.639505933285069,
      1.608540961849688,
      1.5783573935093225,
      1.5489207683699593,
      1.5201996217959994,
      1.4921649371959735,
      1.4647891537562663,
      1.4380448455655168,
      1.4119068651417748,
      1.386352366333852,
      1.3613622483518095,
      1.336920354060104,
      1.3130108727582515,
      1.2896201420430635,
      1.2667351329908831,
      1.2443421276164284,
      1.2224271827601625,
      1.2009764196123083,
      1.1799762034357382,
      1.1594132511927357,
      1.1392748699098412,
      1.1195497826221115,
      1.100227330486171,
      1.0812973318639645,
      1.0627497107406974,
      1.044574385177635,
      1.026761406581241,
      1.0093010436095076,
      0.992183831467422,
      0.9754005979760874,
      0.9589424745027346,
      0.9428008986335059,
      0.9269676106151006,
      0.9114346455669999,
      0.896194324206941,
      0.881239242224263,
      0.8665622598955188,
      0.8521564902695314,
      0.8380152882023879,
      0.8241322404292716,
      0.8105011604108798,
      0.797116094198886,
      0.7839712888229281,
      0.7710611765500253,
      0.7583803687254558,
      0.7459236500824198,
      0.7336859714221732,
      0.7216624429069126,
      0.7098483282415328,
      0.6982390379088633,
      0.6868301558802911,
      0.6756177814712585,
      0.6645982527455956,
      0.6537678305387262,
      0.6431227661203096,
      0.6326593420194747,
      0.6223738798783531,
      0.6122627141558633,
      0.6023222722199927,
      0.5925490900915021,
      0.5829398050040212,
      0.5734911490886881,
      0.5641999448152971,
      0.5550631007139912,
      0.5460776076306945,
      0.5372405352592621,
      0.5285490292016403,
      0.5200003082222076,
      0.5115916611308677,
      0.5033204443319628,
      0.49518407975133033,
      0.48718005260033276,
      0.4793059088913502,
      0.47155925363545464,
      0.4639379308081166,
      0.45644050730539815,
      0.44906547929414925,
      0.4418110999139864,
      0.43467548421315794,
      0.4276566760760636,
      0.4207526902886567,
      0.4139615389059379,
      0.4072812481059945,
      0.4007098682220356,
      0.39424547990011144,
      0.3878862210092273,
      0.3816305048663258,
      0.37547683631106477,
      0.3694236275591628,
      0.36346924539393755,
      0.35761204031400035,
      0.3518503646869266,
      0.34618258433243737,
      0.34060708540393103,
      0.3351222970861845,
      0.32972679255862636,
      0.32441918315074647,
      0.31919804948159863,
      0.31406196291836525,
      0.30900949953778223,
      0.3040392481529189,
      0.29914982651959193,
      0.2943397576037532,
      0.2896074312351671,
      0.2849513395424588,
      0.2803700720739849,
      0.27586228949114455,
      0.27142670669457714,
      0.2670620814573854,
      0.26276720677224763,
      0.2585409060477917,
      0.25438202958808853,
      0.2502894521291288,
      0.2462622085751232,
      0.24229947898431878,
      0.23840032071685402,
      0.2345637624766486,
      0.2307888201212647,
      0.2270745072369979,
      0.22341984201034132,
      0.2198238516450968,
      0.21628557518368727,
      0.2128040650499962,
      0.2093783880345077,
      0.20600762610835638,
      0.2026908765114166,
      0.19942719047324914,
      0.19621557948824955,
      0.19305510735876003,
      0.18994488411515942,
      0.18688405513877593,
      0.1838717936127226,
      0.1809072956641699,
      0.17798977684402714,
      0.1751184699320377,
      0.17229262337300827,
      0.16951150004675467,
      0.1667743763930415,
      0.16408054189570614,
      0.16142929853040341,
      0.15881996048650449,
      0.15625185380008874,
      0.15372431592916064,
      0.15123669541034804,
      0.1487883519141245,
      0.14637865586615914,
      0.1440069883339682,
      0.14167274068902813,
      0.1393753143104526,
      0.1371141206420352,
      0.13488858092825048,
      0.13269812597269456,
      0.1305421959502285,
      0.12842024031693566,
      0.1263317176461371,
      0.1242760953905242,
      0.1222528497668737,
      0.12026146556586365,
      0.11830143606499716,
      0.11637226275186192,
      0.1144734553151326,
      0.11260453148344055,
      0.11076501683283904,
      0.10895444467678247,
      0.10717235592411802,
      0.10541829889820381,
      0.10369182912298759,
      0.10199250948953588,
      0.10031990992481393,
      0.09867360733904623,
      0.09705318553262125,
      0.09545823496099826,
      0.09388835275764612,
      0.09234314232158078,
      0.09082221358165647,
      0.0893251828443691,
      0.0878516725365773,
      0.08640131109675461,
      0.08497373294099274,
      0.08356857838658398,
      0.08218549343391685,
      0.08082412977213715,
      0.0794841446998425,
      0.0781652010275616,
      0.07686696690760358,
      0.07558911581989837,
      0.07433132639855859,
      0.07309328249018915,
      0.07187467295739795,
      0.07067519165655589,
      0.06949453723921935,
      0.06833241314943428,
      0.06718852756823375,
      0.06606259333744652,
      0.06495432779237915,
      0.06386345284949206,
      0.06278969486592301,
      0.061732784461552975,
      0.06069245655376068,
      0.05966845033200109,
      0.058660509034605915,
      0.05766838001482616,
      0.056691814602253685,
      0.05573056815084535,
      0.05478439976815955,
      0.05385307239894018,
      0.052936352779793416,
      0.05203401128720093,
      0.05114582202535347,
      0.050271562510997105,
      0.04941101390548885,
      0.04856396084411828,
      0.04773019123081323,
      0.04690949638540679,
      0.04610167108626942,
      0.045306513177303526,
      0.04452382372782959,
      0.04375340690839128,
      0.04299506999311008,
      0.042248623252839915,
      0.04151388009539124,
      0.04079065679106918,
      0.04007877241612387,
      0.039378048998053965,
      0.038688311363115964,
      0.038009387141273436,
      0.03734110656855597,
      0.03668330266210239,
      0.036035810985969696,
      0.03539846972896925,
      0.034771119557018844,
      0.03415360369801852,
      0.03354576791547465,
      0.032947460211646636,
      0.03235853128453641,
      0.03177883394469966,
      0.03120822333594535,
      0.0306465569484298,
      0.03009369455837777,
      0.029549497972822268,
      0.029013831284908167,
      0.028486560654534945,
      0.02796755438958617,
      0.027456682946421396,
      0.026953818741509178,
      0.026458836110571708,
      0.02597161154261823,
      0.02549202332377412,
      0.025019951710164547,
      0.0245552788539505,
      0.024097888800187064,
      0.023647667332237624,
      0.02320450198896198,
      0.02276828216545922,
      0.02233889892174351,
      0.02191624507167064,
      0.021500215138499233,
      0.02109070524101365,
      0.020687613201893572,
      0.0202908383640009,
      0.01990028173043561,
      0.019515845863051117,
      0.019137434698068598,
      0.018764953812178065,
      0.01839831021159699,
      0.018037412508572277,
      0.017682170601260445,
      0.0173324958489404,
      0.016988300953558345,
      0.01664949996094773,
      0.016316008388520806,
      0.015987742913133113,
      0.01566462172512241,
      0.015346564233222485,
      0.01503349104110735,
      0.014725323947727497,
      0.014421986086355787,
      0.014123401699184085,
      0.013829496273137265,
      0.013540196489252839,
      0.013255430272369102,
      0.012975126552980535,
      0.012699215363932691,
      0.012427627896810763,
      0.012160296365533656,
      0.011897153950502594,
      0.011638135020101317,
      0.011383175025739984,
      0.011132210363267529,
      0.01088517836034351,
      0.010642017486456042,
      0.010402666945799804,
      0.010167067107821162,
      0.009935159177669555,
      0.009706885309151127,
      0.009482188543151311,
      0.009261012768536178,
      0.00904330280745801,
      0.00882900433248906,
      0.008618063952279549,
      0.008410429072172052,
      0.008206047789469956,
      0.008004869192502049,
      0.0078068430652885185,
      0.007611920008536481,
      0.0074200513986799645,
      0.007231189317567628,
      0.007045286676423317,
      0.006862297164516292,
      0.006682175207361817,
      0.006504875711641634,
      0.006330354428772657,
      0.006158567972204886,
      0.005989473328916118,
      0.005823028396965809,
      0.005659191622880484,
      0.0054979221566039925,
      0.005339179748551581,
      0.005182924782397583,
      0.005029118170370026,
      0.004877721664348619,
      0.004728697521200396,
      0.004582008564588664,
      0.00443761828069808,
      0.004295490700508774,
      0.004155590220242005,
      0.004017881932552435,
      0.0038823314448275994,
      0.003748905011404081,
      0.0036175693183914085,
      0.0034882916010793583,
      0.0033610396423866973,
      0.0032357817037802204,
      0.0031124865660251072,
      0.0029911233811399283,
      0.002871661920467426,
      0.002754072392098341,
      0.002638325464083247,
      0.0025243921619303475,
      0.002412244142966856,
      0.0023018535022219762,
      0.00219319263761178,
      0.002086234421427572,
      0.001980952259134493,
      0.0018773198260755757,
      0.001775311174007288,
      0.001674900902742178,
      0.001576064060439271,
      0.0014787760646275095,
      0.0013830126822942084,
      0.001288749839155074,
      0.001195964078594477,
      0.001104632221375576,
      0.0010147315420679119,
      0.0009262395588083418,
      0.0008391342059992716,
      0.0007533937028240171,
      0.0006689966779397082,
      0.0005859221237392113,
      0.0005041492882563823,
      0.00042365774649735533,
      0.0003444274220550463,
      0.0002664385718657442,
      0.00018967178497707982,
      0.0001141079254864236,
      3.972811458717202e-05,
      -3.3486107953311476e-05,
      -0.0001055531110181979,
      -0.00017649084968077774,
      -0.00024631701209646307,
      -0.0003150489807516594,
      -0.000382703919750712,
      -0.0004492987469815255,
      -0.0005148499713407823,
      -0.0005793740439266721,
      -0.0006428870343677109,
      -0.0007054047960433957,
      -0.0007669428880346963,
      -0.0008275166809893065,
      -0.0008871412837308671,
      -0.0009458316344457091,
      -0.0010036023366828304,
      -0.0010604677548611762,
      -0.0011164421660608006,
      -0.0011715395552477684,
      -0.001225773574830749,
      -0.001279157769974298,
      -0.0013317054536046721,
      -0.0013834297396163283,
      -0.0014343435945348736,
      -0.001484459659239435,
      -0.001533790362155875,
      -0.0015823479872694337,
      -0.001630144754173694,
      -0.0016771926050635903,
      -0.0017235032708270974,
      -0.0017690882598698872,
      -0.0018139588905778613,
      -0.001858126335595481,
      -0.0019016017677023647,
      -0.0019443959263855605,
      -0.0019865195355004313,
      -0.002027983071714209,
      -0.002068796850203697,
      -0.002108971065105908,
      -0.0021485157150591054,
      -0.0021874407443276357,
      -0.0022257558463886105,
      -0.0022634705656205106,
      -0.002300594315688109,
      -0.002337136359217444,
      -0.002373105831480523,
      -0.002408511712769393,
      -0.0024433627807702355,
      -0.002477667784967745,
      -0.0025114352393775636
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334982525341422,
      10.094425331439247,
      9.84797539390614,
      9.598357474269768,
      9.347951579790312,
      9.098820925409083,
      8.852683624605312,
      8.610900069401643,
      8.37447484048813,
      8.14407613297425,
      7.920065214178214,
      7.702536208085986,
      7.4913654262505105,
      7.286262395517164,
      7.086819269805439,
      6.892556625190033,
      6.702961208546388,
      6.517517913797701,
      6.335736127377986,
      6.1571664475433225,
      5.981413306337822,
      5.808133639049575,
      5.637052512777575,
      5.467977743241491,
      5.300794929783785,
      5.135467455682601,
      4.972031266538242,
      4.810594156274452,
      4.651338303905173,
      4.4945414780394914,
      4.340539204185288,
      4.1896916747695405,
      4.042379727243651,
      3.8989958245784675,
      3.75992649727614,
      3.625528429774508,
      3.4961177441174534,
      3.3719620518013476,
      3.253274924866691,
      3.1402128330893557,
      3.032871788729262,
      2.9312755390437872,
      2.835376757196291,
      2.7450456612073233,
      2.6600921385598664,
      2.580287150144918,
      2.5053851743912494,
      2.4351302539874067,
      2.369258244422993,
      2.3074928933755166,
      2.249534071144921,
      2.195020941913353,
      2.1435809550250675,
      2.094866973559059,
      2.048552147254018,
      2.0043342213476274,
      1.9619643915511173,
      1.9212374495807596,
      1.8819823886794909,
      1.8440632019185355,
      1.8073674878492951,
      1.7717959566659243,
      1.737263441087728,
      1.7037006660924914,
      1.6710498578658004,
      1.6392616938075293,
      1.6082931657975912,
      1.5781060782574958,
      1.5486659844256716,
      1.5199414286411028,
      1.4919034000873859,
      1.4645243671203982,
      1.4377769406814689,
      1.4116359526243223,
      1.386078551193109,
      1.3610857867106732,
      1.3366415008146582,
      1.3127299223596673,
      1.2893374890649971,
      1.2664510513411826,
      1.244056812728665,
      1.2221407779265938,
      1.2006890336958784,
      1.1796879219984073,
      1.1591241445549934,
      1.1389850094859972,
      1.1192592378877964,
      1.099936158104208,
      1.0810055921185286,
      1.0624574566032663,
      1.0442816649963356,
      1.0264682648757621,
      1.0090075227707527,
      0.9918899722267306,
      0.9751064394581884,
      0.958648055184662,
      0.9425062560237323,
      0.9266727814327921,
      0.9111396659624891,
      0.895899229617585,
      0.8809440678319065,
      0.866267040160155,
      0.8518612591656511,
      0.8377200795990963,
      0.823837087597715,
      0.8102061063088551,
      0.7968211831012548,
      0.783676559884441,
      0.7707666654617802,
      0.7580861088967988,
      0.7456296731481119,
      0.7333923073812977,
      0.7213691209365594,
      0.7095553768141113,
      0.6979464849513076,
      0.6865380899085992,
      0.6753263741199602,
      0.6643076202853874,
      0.6534780541231416,
      0.6428339040971339,
      0.6323714373849794,
      0.6220869650841453,
      0.6119768144514944,
      0.602037409195398,
      0.5922652826815307,
      0.582657070198214,
      0.5732095028310238,
      0.5639194021559271,
      0.5547836760021811,
      0.5457993146481502,
      0.5369633872685402,
      0.5282730389871375,
      0.5197254877413213,
      0.5113180218943232,
      0.5030479978279851,
      0.49491283720243817,
      0.48691002468821654,
      0.47903710603450017,
      0.47129168580295516,
      0.4636716699785309,
      0.45617566246901603,
      0.4488021206746707,
      0.44154927292748475,
      0.4344152184959622,
      0.42739799071298296,
      0.4204955975757185,
      0.41370604688924745,
      0.4070273618799478,
      0.4004575908311546,
      0.3939948130515316,
      0.38763717866969727,
      0.38138311778264056,
      0.37523112290951377,
      0.3691795984178337,
      0.3632269059490091,
      0.3573713926283085,
      0.351611408770093,
      0.34594531872559303,
      0.34037150748844835,
      0.3348884091580296,
      0.329494604197914,
      0.324188698214645,
      0.3189692680639849,
      0.31383488299871465,
      0.3087841175760639,
      0.3038155595876615,
      0.2989278280152626,
      0.29411944826925834,
      0.2893888093719037,
      0.2847344017793583,
      0.28015481384173946,
      0.2756487054391123,
      0.27121479094997997,
      0.26685182768974725,
      0.26255860830540917,
      0.2583339560577215,
      0.2541767211201895,
      0.2500857781389569,
      0.2460602048634648,
      0.24209926183400446,
      0.23820197890202388,
      0.23436734974270038,
      0.23059436709003292,
      0.22688202925433198,
      0.22322934436480327,
      0.21963533294095391,
      0.21609902966965588,
      0.21261948421774735,
      0.20919576156925615,
      0.20582694243720015,
      0.20251212321844944,
      0.1992503504868625,
      0.19604063508620728,
      0.1928820422220907,
      0.1897736829449867,
      0.18671470321203412,
      0.18370427674659137,
      0.180741599850761,
      0.17782588820288936,
      0.1749563747134926,
      0.17213230782097758,
      0.16935295052166047,
      0.16661757933532428,
      0.16392548380187694,
      0.1612759660048648,
      0.15866834008969558,
      0.15610193208658488,
      0.15357607951704227,
      0.1510901310119464,
      0.14864344623938958,
      0.146235395582894,
      0.14386536013551263,
      0.14153273126582214,
      0.1392369104870724,
      0.13697730930396318,
      0.13475334894853672,
      0.1325644602145377,
      0.13041008336468105,
      0.12828966790663543,
      0.12620267251834763,
      0.12414856461284186,
      0.12212682044499024,
      0.12013692483222024,
      0.11817837109265515,
      0.11625066077469655,
      0.1143533036542608,
      0.11248581747181939,
      0.11064772777153047,
      0.10883856803274755,
      0.10705787914654638,
      0.10530520943179213,
      0.10358011465648655,
      0.10188215772764098,
      0.10021090855735033,
      0.09856594413064611,
      0.0969468483490073,
      0.09535321174456922,
      0.0937846313568052,
      0.09224071079039672,
      0.09072106007291367,
      0.08922529547105514,
      0.0877530395194457,
      0.08630392078473785,
      0.08487757362865211,
      0.0834736384045622,
      0.0820917612491678,
      0.08073159398030394,
      0.07939279393216993,
      0.07807502397537287,
      0.07677795242350852,
      0.07550125272668694,
      0.07424460356834066,
      0.07300768886005585,
      0.07179019747537216,
      0.07059182335119535,
      0.06941226516257333,
      0.0682512264342676,
      0.06710841548243567,
      0.06598354529131217,
      0.06487633333666287,
      0.06378650149576932,
      0.06271377613920058,
      0.061657888064071964,
      0.06061857225892212,
      0.0595955679231339,
      0.05858861842518351,
      0.057597471184501176,
      0.05662187755848176,
      0.055661592909756585,
      0.054716376488194884,
      0.0537859912477253,
      0.052870204026806096,
      0.05196878535225991,
      0.05108150940365827,
      0.050208153876503285,
      0.04934849999881845,
      0.048502332350949716,
      0.047669438889186004,
      0.04684961100721954,
      0.0460426434835991,
      0.04524833429251431,
      0.04446648457613476,
      0.0436968986449778,
      0.04293938382789395,
      0.04219375051849165,
      0.04145981212446362,
      0.04073738500653686,
      0.0400262883873654,
      0.03932634436664716,
      0.03863737774692132,
      0.03795921623227079,
      0.037291690065555085,
      0.036634632378566505,
      0.03598787877659943,
      0.035351267604479035,
      0.03472463969771339,
      0.034107838213364064,
      0.033500708991425356,
      0.032903100207726604,
      0.032314862360296896,
      0.03173584843641724,
      0.031165913796744375,
      0.030604915871067218,
      0.030052714466920216,
      0.029509171546094535,
      0.028974151232613855,
      0.0284475198032773,
      0.02792914559765303,
      0.027418899152228223,
      0.02691665299323192,
      0.026422281564582418,
      0.025935661290250808,
      0.025456670574324262,
      0.024985189738996452,
      0.024521101001632253,
      0.024064288414599597,
      0.0236146378189606,
      0.023172036887287247,
      0.022736375078565053,
      0.0223075435043832,
      0.02188543510710799,
      0.02146994438382186,
      0.021060967576073602,
      0.020658402587877798,
      0.020262148756152114,
      0.019872107156207765,
      0.01948818039234118,
      0.019110272515338967,
      0.018738289053806718,
      0.0183721372100929,
      0.018011725566778873,
      0.01765696407200483,
      0.01730776406186801,
      0.016964038339199856,
      0.016625701143421545,
      0.016292667980040004,
      0.015964855645517917,
      0.015642182302029344,
      0.015324567328297728,
      0.015011931366270631,
      0.014704196315188264,
      0.014401285458199563,
      0.01410312314853187,
      0.013809634958373751,
      0.013520747571621064,
      0.013236388814272656,
      0.012956487651240202,
      0.012680974219602688,
      0.012409779777203386,
      0.012142836522212336,
      0.011880077797843462,
      0.011621438104472208,
      0.011366852823574762,
      0.011116258384325773,
      0.010869592211152817,
      0.010626792701025298,
      0.010387799191749238,
      0.010152552137480762,
      0.009920992805154849,
      0.009693063323792639,
      0.00946870678201725,
      0.009247867202144471,
      0.009030489364697853,
      0.008816519011913432,
      0.008605902825614594,
      0.008398588198806118,
      0.008194523455558992,
      0.0079936575463989,
      0.007795940286944117,
      0.007601322402759602,
      0.007409755138646705,
      0.007221190716366406,
      0.0070355821596358795,
      0.006852883135504411,
      0.006673048007636261,
      0.006496031822649916,
      0.006321790439179143,
      0.006150280348076651,
      0.005981458807187067,
      0.005815283641669352,
      0.0056517133711792315,
      0.005490707123281892,
      0.005332224638380549,
      0.005176226449108556,
      0.005022673521616655,
      0.004871527554220978,
      0.004722750801351085,
      0.004576306097335392,
      0.004432156945897545,
      0.004290267440417375,
      0.004150602173936669,
      0.004013126100130867,
      0.0038778049747832627,
      0.0037446050430611625,
      0.0036134930977944203,
      0.003484436374835752,
      0.0033574026406190003,
      0.0032323602245201335,
      0.0031092778692516044,
      0.0029881248817104624,
      0.002868870986745712,
      0.0027514864823234525,
      0.0026359419890452486,
      0.0025222086783309753,
      0.002410258159265344,
      0.0023000624626601644,
      0.002191594045680319,
      0.002084825906396223,
      0.0019797313314531043,
      0.0018762841792877446,
      0.001774458516489359,
      0.0016742289869927382,
      0.0015755706552857721,
      0.0014784588827467418,
      0.0013828693839415143,
      0.0012887782265494638,
      0.0011961619473634829,
      0.0011049974091647528,
      0.0010152619327811869,
      0.0009269330932942347,
      0.0008399888421312884,
      0.0007544074330596903,
      0.0006701674960112067,
      0.0005872480293773972,
      0.0005056282602969887,
      0.00042528784317396055,
      0.0003462067923610713,
      0.00026836543557306,
      0.00019174426029052198,
      0.0001163240407411175,
      4.208614412924439e-05,
      -3.098800707599082e-05,
      -0.00010291672154272974,
      -0.00017371795217283699,
      -0.00024340932822191814,
      -0.0003120083136177179,
      -0.0003795320085330472,
      -0.0004459971908185952,
      -0.0005114205028935331,
      -0.0005758183070753779,
      -0.0006392066416668033,
      -0.0007016013603764672,
      -0.0007630180418256155,
      -0.0008234719744270663,
      -0.0008829782289599863,
      -0.00094155176245811,
      -0.0009992072033191957,
      -0.0010559589277427822,
      -0.001111821128978201,
      -0.0011668077585856248,
      -0.001220932479441341,
      -0.0012742086874752607,
      -0.001326649793301839,
      -0.0013782689059713177,
      -0.001429078877981401,
      -0.0014790924067040255,
      -0.0015283219314491134,
      -0.001576779752551064,
      -0.0016244779584904626,
      -0.0016714285116251092,
      -0.0017176430790004967,
      -0.0017631331415396605,
      -0.001807910134792798,
      -0.0018519852008971672,
      -0.0018953694107257803,
      -0.0019380736227921354,
      -0.0019801084495169497,
      -0.0020214843688192282,
      -0.002062211714580239,
      -0.002102300653262821,
      -0.00214176116033545,
      -0.0021806031169510896,
      -0.0022188362594349476,
      -0.002256470109249018,
      -0.0022935141061856566,
      -0.0023299774287334073,
      -0.0023658691703438194,
      -0.002401198273172028,
      -0.0024359735633377173,
      -0.0024702037919157693,
      -0.002503897401981505
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334979138797133,
      10.094413034865036,
      9.847947974828827,
      9.598310464011215,
      9.347881845070175,
      9.098726401235234,
      8.85256307162583,
      8.610752858663014,
      8.374300806088254,
      8.143875531912435,
      7.919838459651844,
      7.702283744328689,
      7.491087675147063,
      7.285959727237262,
      7.086491988129946,
      6.892204971298156,
      6.702585415381151,
      6.517118238227024,
      6.335312916236036,
      6.1567201920283265,
      5.980944679438608,
      5.807643587673535,
      5.636542195284396,
      5.467448541848421,
      5.30024849390255,
      5.134905662675345,
      4.9714561138323266,
      4.810007936084048,
      4.6507438842697395,
      4.493942386072002,
      4.339938950478103,
      4.189093779911442,
      4.0417876681501985,
      3.8984130952391416,
      3.759356438294478,
      3.6249740861684354,
      3.4955818170787385,
      3.3714468611481134,
      3.2527823850352044,
      3.1397444433863533,
      3.0324285617432074,
      2.93085791141379,
      2.8349846486996344,
      2.744678396489228,
      2.65974839527811,
      2.579965260071531,
      2.505083300431144,
      2.434846496776815,
      2.3689905741455433,
      2.3072391983767453,
      2.249292238737951,
      2.194788463888078,
      2.1433554612165993,
      2.0946463197432106,
      2.048334381359313,
      2.004117601739277,
      1.9617475396194102,
      1.921019343176235,
      1.8817622988386433,
      1.8438406139241819,
      1.8071420068617634,
      1.7715672636429374,
      1.7370313390085423,
      1.7034650429465323,
      1.6708106615902238,
      1.6390189139472153,
      1.6080468207556933,
      1.5778562061762376,
      1.548412636846474,
      1.5196846659341177,
      1.491643288145011,
      1.4642610003397991,
      1.4375104501006828,
      1.4113664495196536,
      1.3858061413715452,
      1.360810726460437,
      1.3363640447145766,
      1.3124503645656598,
      1.2890562239245795,
      1.2661683527033678,
      1.243772876080696,
      1.2218557464185524,
      1.200403016305989,
      1.1794010054215827,
      1.158836400191638,
      1.1386965087588512,
      1.1189700549042305,
      1.0996463487636898,
      1.080715215428454,
      1.062166564604124,
      1.043990305090827,
      1.0261764815861092,
      1.0087153580615515,
      0.9915974662761011,
      0.9748136313686256,
      0.9583549831762384,
      0.9422129578227716,
      0.9263792938887939,
      0.9108460252670674,
      0.8956054714635943,
      0.8806502276149384,
      0.8659731526119521,
      0.8515673583348806,
      0.8374261992301515,
      0.8235432658239478,
      0.8099123892354436,
      0.7965276123711102,
      0.7833831729738058,
      0.7704734972032568,
      0.7577931920219856,
      0.7453370385875078,
      0.7330999852397322,
      0.721077140160894,
      0.7092637655629814,
      0.6976552710318774,
      0.6862473877917946,
      0.6750363458795888,
      0.6640183765942415,
      0.6531896725660409,
      0.6425464402244055,
      0.6320849328443189,
      0.6218014511757368,
      0.6116923156183558,
      0.6017539465623338,
      0.5919828750314688,
      0.5823757347823832,
      0.5729292555561976,
      0.5636402580402553,
      0.5545056492656256,
      0.5455224189204603,
      0.5366876356367897,
      0.5279984440600323,
      0.5194520616807562,
      0.511045776541373,
      0.5027769445420104,
      0.49464298676922513,
      0.4866413878063146,
      0.4787696929559131,
      0.4710255064252438,
      0.4634068208143359,
      0.45591224306137407,
      0.44854019528716227,
      0.44128888310006287,
      0.43415639104066545,
      0.4271407431865512,
      0.4202399413492613,
      0.4134519891488867,
      0.4067749072775684,
      0.400206742409571,
      0.3937455723964653,
      0.38738955950595544,
      0.3811371507477392,
      0.37498682624854296,
      0.3689369825561832,
      0.36298597635037266,
      0.3571321513082108,
      0.35137385534871524,
      0.34570945140441794,
      0.3401373237009462,
      0.3346559113001778,
      0.32926380165436214,
      0.3239595949227327,
      0.31874186463868204,
      0.3136091775942657,
      0.30856010665957545,
      0.30359323865312,
      0.2987071936904442,
      0.2939004996740655,
      0.2891715447516778,
      0.28451881763886966,
      0.2799409056352433,
      0.2754364678469878,
      0.271004218137868,
      0.26664291341104157,
      0.26235134606407323,
      0.25812833909019084,
      0.25397274240012985,
      0.2498834304682504,
      0.24585949566671092,
      0.24190028685027837,
      0.2380048448833572,
      0.2341721220517385,
      0.23040108383979027,
      0.22669071081198858,
      0.2230399994035848,
      0.21944796238562583,
      0.21591362917346346,
      0.2124360461351712,
      0.2090142760751574,
      0.20564739825496242,
      0.2023345081123162,
      0.19907464762789986,
      0.19586682707108016,
      0.19271011292449214,
      0.18960361705650666,
      0.1865464860905552,
      0.1835378938846015,
      0.18057703705579284,
      0.17766313167652448,
      0.17479541080012456,
      0.17197312299825618,
      0.1691955311808545,
      0.16646191187847542,
      0.16377155471301025,
      0.16112376166633938,
      0.158517847157206,
      0.15595313714598671,
      0.1534289690772831,
      0.15094469168180963,
      0.14849966464937428,
      0.1460932585550198,
      0.14372485435687252,
      0.14139384348325024,
      0.1390996274720291,
      0.1368416177856047,
      0.13461923571151216,
      0.13243191215861716,
      0.13027908749389466,
      0.12816021129364727,
      0.12607474206484778,
      0.12402214732415522,
      0.12200190339317019,
      0.1200134952591054,
      0.11805641622053137,
      0.11613016785197253,
      0.11423426000088421,
      0.11236821042949828,
      0.11053154469823442,
      0.10872379622056717,
      0.10694450598092176,
      0.10519322243622313,
      0.10346950143597648,
      0.10177290605201292,
      0.10010300622885823,
      0.09845937883884127,
      0.09684160788734675,
      0.09524928396678395,
      0.09368200419659321,
      0.0921393722940014,
      0.09062099835588194,
      0.08912649876418818,
      0.08765549597941479,
      0.08620761861934752,
      0.08478250119984584,
      0.08337978417629371,
      0.08199911370646175,
      0.08064014158990596,
      0.07930252532884267,
      0.07798592788480534,
      0.07669001745805976,
      0.0754144675942729,
      0.07415895710967772,
      0.0729231699973378,
      0.07170679531702821,
      0.0705095269061509,
      0.06933106360108994,
      0.06817110898977553,
      0.06702937145560552,
      0.06590556401575264,
      0.06479940423087235,
      0.0637106141376165,
      0.06263892020725001,
      0.06158405317413888,
      0.06054574816974225,
      0.05952374443361884,
      0.058517785345118034,
      0.05752761846420513,
      0.05655299517084439,
      0.055593670958385556,
      0.05464940511834115,
      0.053719960767632184,
      0.05280510479087418,
      0.05190460781345725,
      0.051018243943067844,
      0.05014579095394497,
      0.04928703012883417,
      0.04844174621595108,
      0.04760972736055666,
      0.046790765037117814,
      0.04598465404132136,
      0.0451911923901015,
      0.0444101811891169,
      0.04364142481425171,
      0.042884730765144964,
      0.04213990943186198,
      0.04140677435022301,
      0.04068514195958533,
      0.039974831597897914,
      0.03927566530091408,
      0.03858746807640098,
      0.037910067619922404,
      0.037243294435647896,
      0.0365869815829331,
      0.03594096476377507,
      0.035305082337360474,
      0.03467917511271618,
      0.034063086430688366,
      0.033456662170000026,
      0.032859750673617426,
      0.03227220264693417,
      0.031693871083670916,
      0.03112461123912338,
      0.030564280643765224,
      0.03001273919563127,
      0.02946984884198398,
      0.028935473790757067,
      0.028409480475852737,
      0.027891737289664188,
      0.02738211478752764,
      0.026880485525102017,
      0.026386724030935768,
      0.025900706881692562,
      0.02542231256316392,
      0.02495142138929275,
      0.02448791566376392,
      0.024031679499293572,
      0.023582598885961346,
      0.023140561543833555,
      0.022705456998930378,
      0.022277176328877633,
      0.021855612436287173,
      0.02144065997287287,
      0.021032215283279473,
      0.020630176177363853,
      0.020234442210578955,
      0.019844914506794768,
      0.01946149569556115,
      0.019084089918824244,
      0.018712602798709305,
      0.018346941608710213,
      0.017987014910122605,
      0.01763273269017518,
      0.017284006435495373,
      0.016940748988711733,
      0.016602874595021484,
      0.01627029877583949,
      0.015942938487671445,
      0.01562071186646009,
      0.015303538402989893,
      0.014991338875342415,
      0.014684035139972197,
      0.014381550525200758,
      0.01408380942878523,
      0.013790737384129321,
      0.013502261219881623,
      0.013218308798402653,
      0.012938809165618109,
      0.012663692495237173,
      0.012392890088525418,
      0.012126334308414975,
      0.011863958555900228,
      0.011605697327064929,
      0.011351486032339856,
      0.01110126108657816,
      0.010854959976333383,
      0.01061252118858748,
      0.010373884128516453,
      0.01013898919278904,
      0.009907777681931108,
      0.009680191843664076,
      0.009456174760655514,
      0.009235670547303286,
      0.00901862410481677,
      0.008804981229496639,
      0.008594688552857513,
      0.00838769352295294,
      0.00818394437628957,
      0.007983390099991897,
      0.007785980734404878,
      0.007591666928788223,
      0.0074004001166147575,
      0.007212132655938432,
      0.0070268174067936034,
      0.006844408106247731,
      0.006664859148484653,
      0.006488125685912302,
      0.006314163510171729,
      0.006142929235045865,
      0.005974380056132721,
      0.005808473945489302,
      0.005645169378499732,
      0.005484425488938268,
      0.0053262021695472915,
      0.005170459876214406,
      0.00501715975909973,
      0.00486626358024496,
      0.004717733614215247,
      0.004571532659202037,
      0.004427624272563795,
      0.004285972494123563,
      0.004146541991541016,
      0.004009297883232246,
      0.003874205875077722,
      0.0037412322211990024,
      0.0036103436804409157,
      0.00348150751337771,
      0.003354691563462818,
      0.0032298642072628473,
      0.0031069941794373123,
      0.00298605083166931,
      0.0028670040186327584,
      0.002749823935120425,
      0.0026344813745408234,
      0.0025209473659249535,
      0.0024091936839197208,
      0.0022991924832867147,
      0.0021909161768729063,
      0.0020843377345845186,
      0.001979430500811004,
      0.0018761682489096786,
      0.0017745251289450967,
      0.0016744758717813213,
      0.0015759954543994388,
      0.0014790591924589867,
      0.0013836429615797113,
      0.001289722905366745,
      0.0011972756152848884,
      0.0011062780515529245,
      0.0010167074080398946,
      0.0009285412454542975,
      0.0008417576005374155,
      0.0007563347341838018,
      0.0006722513898351006,
      0.0005894864935902121,
      0.0005080194215758831,
      0.0004278298106270777,
      0.00034889763737923737,
      0.000271203216110919,
      0.0001947271086046248,
      0.00011945013702449943,
      4.535356942314988e-05,
      -2.7581183028513222e-05,
      -9.937221886299539e-05,
      -0.00017003745928072573,
      -0.00023959457217065383,
      -0.00030806098421305944,
      -0.0003754538412207452,
      -0.00044178990985589554,
      -0.000507085726315325,
      -0.0005713576612825112,
      -0.0006346217869648249,
      -0.000696893895636566,
      -0.0007581895298176467,
      -0.0008185240306473291,
      -0.0008779124898214421,
      -0.0009363697644034126,
      -0.0009939103826146118,
      -0.0010505486642941983,
      -0.0011062988026602546,
      -0.0011611748245776673,
      -0.0012151903402587243,
      -0.0012683588766811025,
      -0.001320693663481421,
      -0.0013722077929893485,
      -0.0014229141827380221,
      -0.0014728254795833946,
      -0.001521954077782395,
      -0.001570312301185461,
      -0.0016179122162176297,
      -0.0016647657492955506,
      -0.0017108845808650524,
      -0.0017562801341069246,
      -0.001800963759706771,
      -0.0018449467040327833,
      -0.0018882399879214548,
      -0.0019308544818932988,
      -0.0019728008531893024,
      -0.002014089537854742,
      -0.00205473074971504,
      -0.002094734692535173,
      -0.0021341112498824517,
      -0.002172870335982477,
      -0.0022110216669826385,
      -0.0022485748504966555,
      -0.002285539174736054,
      -0.002321923880841381,
      -0.0023577380017351713,
      -0.0023929904420505158,
      -0.002427690153106527,
      -0.0024618457927210674,
      -0.0024954657973466367
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33497577005087,
      10.094400912183684,
      9.847920977113837,
      9.598264096091029,
      9.347812949869807,
      9.098632892113049,
      8.852443687271078,
      8.610606953275003,
      8.374128241269501,
      8.143676577717667,
      7.9196135073229,
      7.702033221050844,
      7.490811987800197,
      7.28565923492924,
      7.08616698549918,
      6.8918556938997915,
      6.702212090262876,
      6.516721119972978,
      6.334892348047639,
      6.156276663545971,
      5.980478863401705,
      5.80715642953974,
      5.6360348519049595,
      5.466922394149668,
      5.299705190208179,
      5.134347078649353,
      4.970884243199261,
      4.809425065619857,
      4.650152873937261,
      4.493346753053042,
      4.339342193416107,
      4.188499407072411,
      4.04119914272903,
      3.8978338966793875,
      3.758789892668287,
      3.624423224250788,
      3.4950493253946893,
      3.370935046471771,
      3.2522931502824677,
      3.13927927733874,
      3.031988468322976,
      2.930443320053065,
      2.834595474514226,
      2.744313962179227,
      2.659407378790615,
      2.579645995285512,
      2.504783953345539,
      2.434565171869544,
      2.3687252457577137,
      2.306987760663287,
      2.2490525864022444,
      2.194558096934334,
      2.143132017988198,
      2.0944276631787795,
      2.0481185674051585,
      2.0039028962890693,
      1.9615325693377135,
      1.9208030903800626,
      1.8815440380224622,
      1.8436198332581444,
      1.8069183138826004,
      1.7713403416426805,
      1.736800992025111,
      1.7032311606737,
      1.6705731930843526,
      1.6387778497356982,
      1.607802180282256,
      1.5776080284194676,
      1.5481609737181432,
      1.519429578057655,
      1.4913848424069205,
      1.4639992918993627,
      1.4372456112832521,
      1.4110985916283676,
      1.3855353696864712,
      1.3605372973025687,
      1.3360882135553878,
      1.3121724259359584,
      1.2887765723301468,
      1.2658872624394593,
      1.243490542602135,
      1.2215723132248313,
      1.2001185925940787,
      1.179115677258004,
      1.1585502385650064,
      1.1384095848408329,
      1.1186824478957111,
      1.0993581181410506,
      1.0804264174791605,
      1.061877249670561,
      1.0437005197401836,
      1.025886269650634,
      1.008424761262578,
      0.9913065249406,
      0.9745223847299194,
      0.9580634694123901,
      0.9419212145944116,
      0.9260873580554275,
      0.9105539331539642,
      0.8953132589676036,
      0.8803579298952664,
      0.8656808044842133,
      0.8512749944021674,
      0.8371338533447817,
      0.8232509810717679,
      0.8096202105875652,
      0.7962355796919608,
      0.7830913227846618,
      0.7701818635907665,
      0.7575018072525472,
      0.7450459337610961,
      0.732809190169245,
      0.720786684157182,
      0.7089736768627369,
      0.6973655770291254,
      0.6859582338373985,
      0.6747478827340492,
      0.6637307075904924,
      0.6529028705180026,
      0.6422605580060677,
      0.6318000100119947,
      0.6215175175149035,
      0.611409395518804,
      0.6014720606980636,
      0.5917020416914482,
      0.5820959707279773,
      0.5726505766383282,
      0.5633626790435508,
      0.5542291844290315,
      0.5452470817629107,
      0.5364134392827069,
      0.5277254011758862,
      0.5191801845818893,
      0.5107750770887773,
      0.502507434107481,
      0.49437467662633405,
      0.48637428859933113,
      0.4785038150521229,
      0.47076085977764975,
      0.46314350132008436,
      0.45565034963572026,
      0.4482797919319783,
      0.44103001133114367,
      0.4338990777807186,
      0.42688500593212586,
      0.4199857913667995,
      0.413199433754279,
      0.40652395102859573,
      0.39995738810635645,
      0.3934978217154907,
      0.3871434262905188,
      0.3808926656031218,
      0.3747440074908448,
      0.36869584065753813,
      0.36274651644028977,
      0.3568943754488544,
      0.35113776358697874,
      0.3454750421521998,
      0.3399045941949331,
      0.33442486396758336,
      0.32903444601135595,
      0.3237319348333454,
      0.3185159003500875,
      0.3133849071307773,
      0.3083375265316894,
      0.3033723442912935,
      0.29848798188238806,
      0.29368296980870956,
      0.2889556953257468,
      0.28430464539211864,
      0.2797284060878676,
      0.2752256358689337,
      0.2707950479157285,
      0.2664353986141694,
      0.2621454801210465,
      0.25792411523395065,
      0.2537701537106153,
      0.24968246984884881,
      0.2456601703595151,
      0.24170265441484678,
      0.23780902611899785,
      0.23397819120740007,
      0.23020908506458723,
      0.22650066831809287,
      0.22285192418112304,
      0.2192618569071002,
      0.2157294903348235,
      0.2122538669529106,
      0.20883404710054781,
      0.20546910848135078,
      0.20215814560844447,
      0.19890019571394307,
      0.19569426833793843,
      0.19253943131388002,
      0.18943479732571875,
      0.18637951352102494,
      0.1833727542588187,
      0.18041371635514356,
      0.17750161591916122,
      0.17463568615798059,
      0.17181517563393853,
      0.16903934742095855,
      0.16630747825963973,
      0.16361885772257667,
      0.16097278793400707,
      0.1583685831631215,
      0.15580556938548173,
      0.15328308411720112,
      0.15080047612721048,
      0.14835710507198704,
      0.14595234159249684,
      0.14358556681200663,
      0.14125617212446082,
      0.13896355903652272,
      0.13670713912214635,
      0.13448633371951318,
      0.13230057375244475,
      0.13014929953533894,
      0.12803196058717078,
      0.1259480155875204,
      0.12389693220169322,
      0.12187818671079349,
      0.1198912640498908,
      0.1179356577079173,
      0.11601086931720421,
      0.11411640866324682,
      0.11225179364412846,
      0.11041654991874807,
      0.10861021095551879,
      0.10683231769272789,
      0.10508241873928494,
      0.10336006993837632,
      0.1016648342353276,
      0.09999628178533752,
      0.09835398958295072,
      0.09673754167400729,
      0.09514652866025497,
      0.09358054784957355,
      0.09203920285631383,
      0.09052210390424636,
      0.08902886743968685,
      0.08755911597607587,
      0.08611247815043213,
      0.08468858861682949,
      0.0832870877954165,
      0.08190762199159339,
      0.08054984316713365,
      0.07921340875340166,
      0.07789798172899798,
      0.07660323048501144,
      0.0753288286427593,
      0.07407445514482325,
      0.0728397940278767,
      0.071624534306324,
      0.07042837002341285,
      0.0692509999960945,
      0.06809212784744849,
      0.06695146213325245,
      0.065828715910643,
      0.06472360679729544,
      0.06363585684049608,
      0.06256519251088109,
      0.06151134468024748,
      0.060474048485570836,
      0.05945304329134862,
      0.058448072728198165,
      0.057458884327250374,
      0.05648522960485061,
      0.0555268641018681,
      0.054583547129227625,
      0.053655041982757445,
      0.05274111553626841,
      0.05184153843382434,
      0.05095608493644467,
      0.05008453284620534,
      0.049226663551741996,
      0.0483822618613284,
      0.04755111594464755,
      0.046733017404551304,
      0.04592776105041368,
      0.04513514498877382,
      0.04435497049437384,
      0.043587042036547244,
      0.04283116714882454,
      0.04208715633285175,
      0.04135482315147489,
      0.040633983999469415,
      0.03992445829253355,
      0.03922606825413258,
      0.03853863891332816,
      0.037861998116888104,
      0.03719597628145567,
      0.03654040670600009,
      0.03589512517669828,
      0.035259970007112076,
      0.03463478216493402,
      0.034019405048974875,
      0.0334136846100423,
      0.032817469207729266,
      0.03223060946384782,
      0.03165295846806706,
      0.03108437155417872,
      0.030524706549626322,
      0.029973823296205345,
      0.029431583955265895,
      0.028897852710702054,
      0.02837249607164371,
      0.027855382541401064,
      0.027346382676166223,
      0.026845369075078708,
      0.02635221635908713,
      0.025866801132366557,
      0.025389001881413405,
      0.024918699065816338,
      0.024455775051351977,
      0.024000114006085017,
      0.023551601994087873,
      0.023110126777544794,
      0.022675577842112552,
      0.0222478465175689,
      0.021826825743300172,
      0.021412410138929066,
      0.021004496088060404,
      0.02060298163126889,
      0.02020776626408386,
      0.019818751173219507,
      0.01943583916760651,
      0.019058934335723345,
      0.018687942363481178,
      0.01832277057794472,
      0.017963327609840974,
      0.01760952358902901,
      0.01726126997022863,
      0.0169184796824295,
      0.01658106696565217,
      0.01624894744839733,
      0.015922037969550145,
      0.015600256945885372,
      0.01528352380394096,
      0.014971759351454828,
      0.014664885702181862,
      0.014362826053191927,
      0.014065504835298386,
      0.013772847760433934,
      0.013484781619304595,
      0.01320123446520368,
      0.012922135363445948,
      0.012647414431365418,
      0.012377003105092054,
      0.0121108337304577,
      0.011848839711255419,
      0.011590955661575345,
      0.01133711709831601,
      0.011087260468160857,
      0.010841323369274732,
      0.010599244191617606,
      0.01036096244167933,
      0.010126418549502305,
      0.00989555385777799,
      0.009668310652522251,
      0.009444632197388666,
      0.009224462549255956,
      0.009007746599628323,
      0.008794430138182364,
      0.008584459850069087,
      0.008377783221177923,
      0.008174348688353355,
      0.007974105392470574,
      0.007777003188858809,
      0.007582992819454654,
      0.007392025776643047,
      0.007204054342143557,
      0.0070190314885502526,
      0.006836910968494738,
      0.006657647279462693,
      0.006481195529472219,
      0.006307511681128325,
      0.006136552308589242,
      0.005968274681578664,
      0.005802636801395444,
      0.005639597248692942,
      0.005479115116343699,
      0.005321150357680953,
      0.005165663489554111,
      0.005012615659888188,
      0.004861968546066913,
      0.0047136845099213735,
      0.0045677265199762064,
      0.004424058069742543,
      0.004282643244131215,
      0.004143446712241077,
      0.004006433696868078,
      0.003871569876079397,
      0.003738821407396876,
      0.0036081552914040585,
      0.0034795388857448216,
      0.0033529400061561502,
      0.0032283270290147255,
      0.003105668684487136,
      0.002984934404702055,
      0.0028660940509605626,
      0.002749117846207689,
      0.002633976531870717,
      0.0025206413356662527,
      0.0024090838775352283,
      0.0022992763510629143,
      0.0021911914142112273,
      0.0020848019167465427,
      0.0019800812643044454,
      0.0018770032247640736,
      0.001775542067160654,
      0.001675672505199222,
      0.0015773695661051219,
      0.0014806086581467292,
      0.0013853654928762452,
      0.0012916163718262649,
      0.0011993378260288868,
      0.0011085067593382925,
      0.0010191004086312408,
      0.0009310964897954715,
      0.0008444730657994457,
      0.0007592084414120357,
      0.0006752812816155115,
      0.0005926706359294904,
      0.0005113557990528957,
      0.0004313164265315908,
      0.00035253256331724855,
      0.0002749845716030027,
      0.00019865304102619877,
      0.0001235188651650778,
      4.9563230164590444e-05,
      -2.323237644095253e-05,
      -9.488611130914773e-05,
      -0.0001654158464768383,
      -0.00023483912490628918,
      -0.0003031733694689966,
      -0.00037043575397943006,
      -0.00043664299732770593,
      -0.0005018116770874005,
      -0.0005659581673174088,
      -0.0006290985311353278,
      -0.0006912485073982211,
      -0.0007524235853490344,
      -0.000812639052596108,
      -0.0008719099407029139,
      -0.0009302510205543795,
      -0.0009876770065685473,
      -0.001044202239326115,
      -0.0010998407862765588,
      -0.001154606541521753,
      -0.001208513184940992,
      -0.0012615742995290133,
      -0.0013138030938543595,
      -0.0013652125558567456,
      -0.0014158156118822918,
      -0.001465624910265451,
      -0.0015146529283060909,
      -0.0015629118175755053,
      -0.0016104137188559266,
      -0.001657170574490431,
      -0.0017031940034158788,
      -0.0017484954486977216,
      -0.0017930862349988118,
      -0.0018369775623171894,
      -0.001880180416252089,
      -0.0019227055985515421,
      -0.001964563705701317,
      -0.0020057652216025194,
      -0.002046320463238098,
      -0.0020862395703180156,
      -0.002125532481433833,
      -0.0021642090366989796,
      -0.002202278927399994,
      -0.002239751612991635,
      -0.0022766364728958924,
      -0.0023129427479599675,
      -0.0023486795575166516,
      -0.002383855801666215,
      -0.0024184802216476275,
      -0.0024525614722705094,
      -0.0024861080924262332
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334972418289041,
      10.094388941476657,
      9.847894341369692,
      9.598218277290126,
      9.347744769235875,
      9.098540240573609,
      8.852325284220933,
      8.61046213675522,
      8.373956859514678,
      8.143478890257715,
      7.919389896878649,
      7.701784107789616,
      7.490537772715828,
      7.285360272951775,
      7.085843568372468,
      6.8915080547602185,
      6.70184045578229,
      6.516325744049304,
      6.334473575494229,
      6.155834987175428,
      5.980014958002371,
      5.806671243638211,
      5.635529543838557,
      5.466398345039006,
      5.2991640526005295,
      5.133790728672285,
      4.970314669701921,
      4.8088445511735225,
      4.64956427369294,
      4.49275357621218,
      4.338747929233326,
      4.187907553715895,
      4.040613152938184,
      3.8972572392891984,
      3.7582258817162546,
      3.6238748794833726,
      3.4945193238357777,
      3.370425684808636,
      3.251806322308028,
      3.1388164633813296,
      3.031550664714615,
      2.9300309502750967,
      2.834208451027032,
      2.7439516068898526,
      2.6590683694534554,
      2.5793286665769544,
      2.5044864733715624,
      2.4342856475283217,
      2.368461654665811,
      2.3067380008143434,
      2.248814543849606,
      2.1943292678070514,
      2.142910052045285,
      2.0942104346108015,
      2.047904142212857,
      2.0036895500829712,
      1.9613189353810683,
      1.920588155920084,
      1.8813270810240548,
      1.8434003448285217,
      1.8066959034925358,
      1.7711146947258067,
      1.7365719150362562,
      1.7029985441603726,
      1.6703369873711937,
      1.6385380460103567,
      1.6075587985447906,
      1.5773611077914247,
      1.5479105669558963,
      1.519175746513381,
      1.4911276525084203,
      1.4637388387331345,
      1.4369820267213353,
      1.4108319873575255,
      1.3852658516956196,
      1.3602651222321038,
      1.335813636855083,
      1.3118957420766653,
      1.2884981752082818,
      1.265607425697279,
      1.2432094613505906,
      1.2212901313324407,
      1.1998354192692005,
      1.1788315988800004,
      1.1582653262765172,
      1.138123909958332,
      1.118396089703021,
      1.099071141679694,
      1.0801388771155438,
      1.061589194629789,
      1.0434119953553984,
      1.0255973191108456,
      1.008135426335164,
      0.9910168458208556,
      0.974232400238029,
      0.957773217689883,
      0.9416307329281252,
      0.9257966835572259,
      0.9102631022124269,
      0.8950223073522913,
      0.8800668926995381,
      0.865389716466384,
      0.8509838897587239,
      0.836842770510073,
      0.8229599668138221,
      0.809329307070155,
      0.7959448250041677,
      0.7828007521137601,
      0.7698915098708016,
      0.7572117022578941,
      0.7447561078668288,
      0.7325196730668825,
      0.7204975047474407,
      0.7086848634440068,
      0.6970771814080392,
      0.68567041241341,
      0.6744607732172845,
      0.6634444052786,
      0.6526174427116954,
      0.6419760537829464,
      0.6315164668864669,
      0.621234963985801,
      0.6111278543966745,
      0.601191552050854,
      0.5914225838664774,
      0.5818175805223258,
      0.5723732695076393,
      0.5630864697580364,
      0.5539540869317705,
      0.5449731095274799,
      0.5361406053070077,
      0.5274537180700456,
      0.5189096645723852,
      0.5105057321424693,
      0.5022392757442807,
      0.4941077157243102,
      0.48610853582861774,
      0.478239280717473,
      0.4704975539346126,
      0.46288151975142205,
      0.4553897909753118,
      0.448020719935188,
      0.4407724673259548,
      0.43364308863587203,
      0.4266305890704083,
      0.41973295811318106,
      0.4129481913854719,
      0.40627430421963634,
      0.39970933960022564,
      0.3932513731851558,
      0.3868985914760245,
      0.3806494750080774,
      0.3745024792282609,
      0.3684559851228741,
      0.3625083390411569,
      0.35665787819349576,
      0.35090294636514135,
      0.3452419033811678,
      0.3396731313684127,
      0.3341950821980106,
      0.3288063537139445,
      0.3235055354108058,
      0.3182911938428705,
      0.31316189126680555,
      0.3081161977139971,
      0.3031526978017277,
      0.29827001412731435,
      0.29346668019725586,
      0.28874108250911407,
      0.2840917062589682,
      0.27951713614953627,
      0.27501602982847406,
      0.2705870999263738,
      0.2662291024959231,
      0.2619408294722179,
      0.2577211033619915,
      0.2535687734966347,
      0.2494827140924364,
      0.24546204636921118,
      0.24150617288825607,
      0.23761428645933885,
      0.23378529240092424,
      0.23001808751766145,
      0.2263116068285579,
      0.22266481684309078,
      0.2190767107581702,
      0.21554630516636158,
      0.21207263787060338,
      0.20865476607343506,
      0.2052917653181856,
      0.20198272863212594,
      0.19872668858710735,
      0.1955226539562535,
      0.19236969356919079,
      0.1892669211047828,
      0.1862134842109638,
      0.18320855757160864,
      0.1802513382287264,
      0.1773410424821368,
      0.17447690354170853,
      0.17165817022911592,
      0.16888410562532813,
      0.16615398639716294,
      0.16346710229208752,
      0.16082275534275767,
      0.15822025984107788,
      0.15565894188625445,
      0.15313813902802081,
      0.15065720011861675,
      0.14821548472441043,
      0.14581236353391702,
      0.14344721771530297,
      0.1411194386596575,
      0.13882842791833,
      0.13657359708699476,
      0.13435436750891536,
      0.13217017022920813,
      0.1300204455902696,
      0.12790464325523485,
      0.12582222194158968,
      0.12377264932260566,
      0.12175540158687752,
      0.11976996374951708,
      0.117815829380238,
      0.11589250012928129,
      0.11399948580078187,
      0.11213630435629265,
      0.11030248150581624,
      0.10849755085824683,
      0.10672105348693607,
      0.10497253789469449,
      0.10325155999079001,
      0.10155768285702359,
      0.09989047663950885,
      0.09824951847029571,
      0.09663439245107149,
      0.09504468916395202,
      0.09348000601212983,
      0.0919399468143954,
      0.09042412167605222,
      0.08893214709756497,
      0.08746364571731977,
      0.08601824612685703,
      0.08459558311070721,
      0.08319529726858897,
      0.08181703491573303,
      0.08046044808591972,
      0.07912519426232285,
      0.0778109364712193,
      0.07651734316628059,
      0.07524408806562964,
      0.07399085013804489,
      0.072757313477742,
      0.0715431672900533,
      0.07034810555155843,
      0.06917182721941455,
      0.06801403606048774,
      0.0668744405940298,
      0.06575275390482778,
      0.06464869380445737,
      0.06356198249735602,
      0.062492346381125295,
      0.06143951650752796,
      0.06040322810357715,
      0.05938322055324457,
      0.05837923747108931,
      0.057391026479647084,
      0.05641833911962199,
      0.05546093106086852,
      0.05451856170216,
      0.053590994338409054,
      0.05267799607534952,
      0.05177933759287056,
      0.050894793202142206,
      0.0500241407823001,
      0.04916716175632437,
      0.04832364103891035,
      0.047493366854260546,
      0.04667613085921397,
      0.045871727929294365,
      0.04507995632276967,
      0.04430061741878882,
      0.04353351568045352,
      0.04277845874078713,
      0.04203525712867717,
      0.04130372446397302,
      0.040583677260260166,
      0.039874934990241376,
      0.03917731998382986,
      0.038490657340902,
      0.03781477488629159,
      0.037149503198432826,
      0.03649467560460195,
      0.035850127896873425,
      0.03521569851899238,
      0.034591228508803924,
      0.03397656146355783,
      0.03337154329859365,
      0.03277602244767732,
      0.03218984960197001,
      0.031612877967288996,
      0.031044962951276664,
      0.030485962330692992,
      0.029935736211190136,
      0.029394146639417296,
      0.02886105800593769,
      0.0283363367248989,
      0.027819851411882313,
      0.027311472713785628,
      0.026811073280113857,
      0.02631852788847593,
      0.0258337131966002,
      0.02535650780716964,
      0.024886792180721987,
      0.024424448677098993,
      0.023969361546681375,
      0.023521416903845953,
      0.02308050254190503,
      0.02264650808552689,
      0.022219324908666075,
      0.021798846078338974,
      0.021384966323850438,
      0.020977582025465572,
      0.020576591183959568,
      0.020181893460071296,
      0.01979338999142073,
      0.019410983514270938,
      0.019034578434166657,
      0.018664080515003238,
      0.018299396961455872,
      0.0179404365835606,
      0.017587109547402526,
      0.017239327360237842,
      0.01689700288645715,
      0.01656005057841118,
      0.01622838611567052,
      0.015901926507347043,
      0.015580590046403081,
      0.01526429636488449,
      0.014952966271422256,
      0.01464652186692166,
      0.014344886410971633,
      0.014047984491802744,
      0.013755741774947764,
      0.013468085100052226,
      0.013184942473543147,
      0.012906243098236094,
      0.0126319172865276,
      0.01236189639048475,
      0.012096112812760726,
      0.01183449998936689,
      0.011576992516721634,
      0.011323525920439368,
      0.011074036835930822,
      0.010828462734357926,
      0.010586742253911955,
      0.010348814979529889,
      0.010114621288801988,
      0.00988410258880862,
      0.009657201219687175,
      0.009433860457472139,
      0.009214024437952925,
      0.008997638096416825,
      0.008784647256908838,
      0.00857499861069031,
      0.008368639754920132,
      0.00816551912713736,
      0.007965585853758644,
      0.007768789925722919,
      0.007575082142271915,
      0.007384414019676586,
      0.00719673788082142,
      0.007012006699820303,
      0.0068301743311968205,
      0.0066511952394197995,
      0.00647502469574737,
      0.006301618577204121,
      0.006130933574985336,
      0.005962926960991084,
      0.005797556636358173,
      0.005634781201596901,
      0.0054745600421919486,
      0.005316853048219947,
      0.0051616207943452385,
      0.005008824486642853,
      0.004858425765806961,
      0.004710387084716946,
      0.004564671389181281,
      0.004421242156900433,
      0.004280063642323757,
      0.004141100570887922,
      0.004004318076816505,
      0.0038696819417126617,
      0.0037371584409590327,
      0.0036067144087219543,
      0.003478317234916083,
      0.003351934756249556,
      0.0032275354608568506,
      0.0031050881863390997,
      0.0029845623791550195,
      0.002865927930180562,
      0.0027491551584585667,
      0.002634214694364127,
      0.002521077860762839,
      0.0024097163058472678,
      0.002300102178091673,
      0.002192208036030417,
      0.002086006969516154,
      0.001981472347863645,
      0.0018785780332571881,
      0.001777298348122131,
      0.001677607834344487,
      0.0015794816433690657,
      0.0014828952411083105,
      0.001387824432796249,
      0.0012942454078415573,
      0.001202134805224289,
      0.001111469602989277,
      0.0010222270976283567,
      0.0009343850185343811,
      0.000847921288003408,
      0.0007628143352601953,
      0.0006790428717186573,
      0.0005965858775409354,
      0.000515422716290961,
      0.0004355331874958061,
      0.0003568972500075061,
      0.0002794952233512428,
      0.000203307793173701,
      0.00012831594167644921,
      5.450088583523676e-05,
      -1.815597108476649e-05,
      -8.96727052764451e-05,
      -0.00016006728068903003,
      -0.0002293572247973869,
      -0.00029755993959766603,
      -0.00036469244511334745,
      -0.00043077145926374047,
      -0.0004958135650610348,
      -0.0005598350595446304,
      -0.0006228519157782164,
      -0.0006848799221455904,
      -0.0007459345979274679,
      -0.0008060311650841743,
      -0.0008651847672946746,
      -0.0009234102110150065,
      -0.0009807220557279184,
      -0.0010371346645933553,
      -0.0010926620445097985,
      -0.0011473181429984454,
      -0.001201116578287835,
      -0.0012540708902488372,
      -0.0013061941799570014,
      -0.001357499536371405,
      -0.0014079997823744756,
      -0.001457707601617959,
      -0.0015066354610097541,
      -0.00155479557051585,
      -0.0016021999312232941,
      -0.0016488604333022882,
      -0.0016947887373459718,
      -0.001739996313634233,
      -0.0017844945699865538,
      -0.0018282946420782238,
      -0.0018714073735106457,
      -0.001913843581147315,
      -0.0019556139256664195,
      -0.001996728800896462,
      -0.002037198507981931,
      -0.002077033149758975,
      -0.002116242740412799,
      -0.0021548371682636115,
      -0.0021928259420007337,
      -0.0022302185971023905,
      -0.0022670245614187998,
      -0.0023032530522407407,
      -0.0023389130743541584,
      -0.0023740134554075644,
      -0.0024085630077282285,
      -0.002442570442152012,
      -0.0024760442685706867
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334969084528227,
      10.094377023710996,
      9.84786780513743,
      9.598172608310858,
      9.347676792987603,
      9.098447853250937,
      8.852207211224059,
      8.610317718603643,
      8.373785944109825,
      8.143281738573942,
      7.9191668921222345,
      7.701535669837753,
      7.490264303418232,
      7.285062127958154,
      7.08552104078436,
      6.891161379260424,
      6.701469860780015,
      6.515931483816049,
      6.334055995393545,
      6.155394578136881,
      5.979552393221057,
      5.806187471354182,
      5.635025723251091,
      5.465875858036066,
      5.298624571849162,
      5.133236147147132,
      4.969746972648679,
      4.80826601489243,
      4.64897774449537,
      4.492162553348186,
      4.338155892399654,
      4.187317990020252,
      4.040029502655314,
      3.896682957954286,
      3.757664272500533,
      3.623328948974247,
      3.493991736038519,
      3.3699187250712885,
      3.2513218741689043,
      3.13835599759818,
      3.031115169840906,
      2.9296208431579456,
      2.8338236373512538,
      2.743591404908501,
      2.658731454683695,
      2.579013372617063,
      2.50419096815376,
      2.4340080392215526,
      2.368199922195044,
      2.306490044315174,
      2.2485782520844797,
      2.194102141329532,
      2.142689747327073,
      2.0939948317048307,
      2.047691312416307,
      2.0034777740446654,
      1.961106850509248,
      1.9203747530343607,
      1.8811116405134471,
      1.8431823598753645,
      1.8064749857900924,
      1.770890530846349,
      1.7363443127263178,
      1.7027673954550282,
      1.6701022431521035,
      1.6382996981024693,
      1.607316867100205,
      1.5771156329152969,
      1.5476616016885847,
      1.5189233524475674,
      1.4908718964166674,
      1.4634798158411544,
      1.4367198691356786,
      1.4105668066325856,
      1.3849977750860696,
      1.3599944169100695,
      1.3355405464764651,
      1.3116206396165335,
      1.2882214181123857,
      1.265329264440141,
      1.2429300758905006,
      1.2210096553316439,
      1.199553955238249,
      1.1785492289287867,
      1.1579821190356696,
      1.1378399353218696,
      1.118111425393552,
      1.098785858051769,
      1.0798530310142127,
      1.0613028316173796,
      1.0431251592427624,
      1.0253100515623408,
      1.0078477673810273,
      0.9907288349714043,
      0.9739440766247959,
      0.9574846195381795,
      0.9413418976826594,
      0.9255076481522221,
      0.9099739028246929,
      0.8947329798072853,
      0.8797774726657168,
      0.8651002387767084,
      0.850694388893889,
      0.8365532910962207,
      0.8226705545001289,
      0.809040002304857,
      0.7956556648796002,
      0.7825117713811024,
      0.7696027412804174,
      0.7569231771923112,
      0.7444678568865087,
      0.7322317257344162,
      0.7202098899246504,
      0.7083976094279613,
      0.6967903777539923,
      0.6853842323654492,
      0.6741753345167074,
      0.6631597899818084,
      0.6523337096065376,
      0.6416932467620303,
      0.631234619808725,
      0.6209541029063422,
      0.6108480013940573,
      0.6009127265403388,
      0.5911448034918549,
      0.5815408616781441,
      0.5720976274949592,
      0.5628119191838364,
      0.5536806419468053,
      0.5447007838530428,
      0.5358694121518798,
      0.5271836699378588,
      0.5186407737985058,
      0.5102380103561907,
      0.5019727343148224,
      0.4938423659716313,
      0.48584438843985045,
      0.47797634602139233,
      0.4702358418642202,
      0.462621126022589,
      0.45513081418394413,
      0.44776322380158345,
      0.44051649314474983,
      0.43338866326877257,
      0.4263777298316014,
      0.41948167619217835,
      0.41269849407424763,
      0.40602619617981367,
      0.3994628237356332,
      0.3930064510457842,
      0.38665528456489023,
      0.38040781061702994,
      0.37426247367084886,
      0.3682176476089713,
      0.3622716742489403,
      0.3564228878297193,
      0.3506696299095041,
      0.34501025899786436,
      0.3394431563894869,
      0.3339667840324832,
      0.32857973959581543,
      0.3232806078086432,
      0.318067952284058,
      0.3129403334224915,
      0.3078963197625786,
      0.30293449516611115,
      0.2980534835680431,
      0.29325182128451865,
      0.2885278942691909,
      0.2838801856364001,
      0.2793072789776617,
      0.27480783095384015,
      0.27038055355663476,
      0.26602420247968644,
      0.26173756925790137,
      0.25751947606774955,
      0.2533687723590401,
      0.24928433213814913,
      0.24526529076428452,
      0.24131105140186873,
      0.23742086317228578,
      0.23359368044411336,
      0.2298283560822368,
      0.2261237967143851,
      0.22247894999649487,
      0.21889279672223694,
      0.21536434548608607,
      0.21189262865931363,
      0.20847669993476342,
      0.20511563254098028,
      0.20180851651845155,
      0.19855438024436492,
      0.1953522331810835,
      0.19220114516381376,
      0.1891002302429928,
      0.1860486364280354,
      0.18304553881793625,
      0.1800901346063911,
      0.1771816401212846,
      0.1743192887685831,
      0.17150232938442797,
      0.16873002505986023,
      0.16600165254306712,
      0.16331650156221633,
      0.1606738742963013,
      0.15807308510110715,
      0.15551345994863036,
      0.152994336393872,
      0.150515063228936,
      0.14807500023738981,
      0.14567351817017202,
      0.14330999811534517,
      0.14098383146347068,
      0.13869441988260064,
      0.13644117499868857,
      0.1342235182513355,
      0.13204088064455258,
      0.12989270255754862,
      0.12777843355207494,
      0.12569753246780255,
      0.12364946695468705,
      0.12163371350313566,
      0.1196497572470167,
      0.11769709151370651,
      0.11577521811257102,
      0.11388364700730275,
      0.11202189620559892,
      0.1101894914901775,
      0.10838596635911601,
      0.1066108619280471,
      0.10486372678685414,
      0.10314411687508991,
      0.10145159534336468,
      0.0997857324960592,
      0.09814610548446179,
      0.09653229841750285,
      0.09494390203763509,
      0.09338051371250045,
      0.09184173729598649,
      0.09032718305641554,
      0.08883646755027752,
      0.0873692133971658,
      0.08592504940629646,
      0.08450361036204236,
      0.08310453682760047,
      0.0817274752070683,
      0.08037207763764033,
      0.0790380016760463,
      0.07772491041778055,
      0.07643247243266392,
      0.07516036149077174,
      0.07390825654895643,
      0.07267584177804662,
      0.07146280646905098,
      0.07026884481150117,
      0.06909365575348171,
      0.06793694307887457,
      0.06679841538496291,
      0.06567778588955027,
      0.06457477241745563,
      0.0634890971623582,
      0.06242048680162695,
      0.0613686723127054,
      0.06033338904738443,
      0.05931437651667614,
      0.05831137832489438,
      0.05732414219214497,
      0.05635241988044178,
      0.05539596701760121,
      0.05445454300206442,
      0.053527911205239066,
      0.05261583869855703,
      0.05171809635403994,
      0.05083445854882261,
      0.04996470327707183,
      0.0491086120119579,
      0.04826596979351231,
      0.04743656495766479,
      0.04662018927285412,
      0.04581663757347492,
      0.04502570817537314,
      0.04424720255358056,
      0.04348092519413178,
      0.042726683820407056,
      0.04198428909073832,
      0.04125355472388645,
      0.04053429737225092,
      0.039826336566811275,
      0.03912949454572516,
      0.03844359657043505,
      0.037768470505723704,
      0.03710394699218615,
      0.0364498593617217,
      0.03580604365913609,
      0.03517233830168135,
      0.03454858446704478,
      0.03393462575342409,
      0.03333030809763007,
      0.03273548001975298,
      0.03214999232454071,
      0.03157369834606485,
      0.031006453578526123,
      0.030448115798829292,
      0.029898545064764127,
      0.029357603569022454,
      0.028825155768581887,
      0.028301068185762196,
      0.02778520947822534,
      0.027277450389989043,
      0.026777663614913006,
      0.026285724036934698,
      0.025801508329722656,
      0.025324895123351603,
      0.024855765038235896,
      0.024394000453529015,
      0.023939485689515302,
      0.023492106891954342,
      0.02305175196825553,
      0.02261831053681623,
      0.022191674048261195,
      0.021771735629433072,
      0.02135839004013383,
      0.020951533809898455,
      0.020551065026604507,
      0.020156883471943204,
      0.019768890216024213,
      0.019386988177844552,
      0.01901108164939583,
      0.018641076474315912,
      0.01827688007341805,
      0.017918401234521143,
      0.017565550060484138,
      0.017218238195799672,
      0.016876378639316597,
      0.016539885791426425,
      0.016208675360106284,
      0.01588266439969872,
      0.015561771335528173,
      0.015245915707752012,
      0.014935018485788314,
      0.01462900177744205,
      0.014327788962578938,
      0.014031304710683243,
      0.013739474659912248,
      0.013452225895560908,
      0.013169486358621413,
      0.012891185332800271,
      0.012617253097405806,
      0.012347620984605012,
      0.01208222155539894,
      0.011820988386057808,
      0.011563855960134534,
      0.011310760003268099,
      0.011061637091046711,
      0.01081642487727953,
      0.010575061919361806,
      0.010337487768180182,
      0.010103642934395342,
      0.009873468922235723,
      0.009646908165406974,
      0.009423903890309884,
      0.009204400306883506,
      0.008988342497651099,
      0.008775676246973852,
      0.008566348228959795,
      0.008360306090889787,
      0.008157498235040292,
      0.007957874004260625,
      0.007761383438542179,
      0.007567977295518122,
      0.007377607149667305,
      0.007190225348606138,
      0.0070057850234146405,
      0.006824239891763247,
      0.006645544521761107,
      0.006469654210678656,
      0.006296524949611017,
      0.006126113371731547,
      0.005958376798250904,
      0.005793273166268632,
      0.005630761143663864,
      0.005470800144920396,
      0.005313350133842412,
      0.005158371727033798,
      0.005005826001190235,
      0.004855674893851509,
      0.004707880773979027,
      0.004562406618776047,
      0.004419216046457193,
      0.004278273135135373,
      0.00413954274007994,
      0.004002990005728714,
      0.0038685807124018427,
      0.0037362812882496513,
      0.0036060586137921795,
      0.0034778800319832763,
      0.003351713442609174,
      0.003227527246233704,
      0.003105290398282699,
      0.002984972331824159,
      0.0028665428946051084,
      0.0027499723452746906,
      0.002635231720212521,
      0.002522292287072405,
      0.0024111256866151663,
      0.0023017040884688515,
      0.0021940000563856125,
      0.002087986746076303,
      0.0019836374941782607,
      0.0018809262100487505,
      0.0017798271713315268,
      0.0016803151203003829,
      0.001582365088400076,
      0.001485952590802723,
      0.0013910534030149109,
      0.0012976438664744508,
      0.0012057006622958658,
      0.0011152007259091648,
      0.001026121391965112,
      0.0009384404071430428,
      0.0008521357790683113,
      0.0007671858682069267,
      0.0006835694046740455,
      0.0006012654237582746,
      0.0005202534826522101,
      0.0004405131602559379,
      0.0003620245432444965,
      0.0002847679125591161,
      0.00020872402221157592,
      0.00013387385174407648,
      6.019865267103807e-05,
      -1.2320099780777869e-05,
      -8.37004611156383e-05,
      -0.0001539603878656581,
      -0.00022311748959570968,
      -0.00029118907290968227,
      -0.0003581921138113864,
      -0.00042414340071008727,
      -0.0004890593267637345,
      -0.0005529563170548012,
      -0.00061585035207306,
      -0.0006777571196149133,
      -0.0007386920892168536,
      -0.0007986705154009623,
      -0.0008577074469689125,
      -0.0009158177031502429,
      -0.000973015760068789,
      -0.001029315928540938,
      -0.0010847323083848026,
      -0.0011392788502151596,
      -0.0011929691682545077,
      -0.0012458167405644171,
      -0.0012978347643982904,
      -0.0013490362335251255,
      -0.0013994340019972487,
      -0.0014490406945217838,
      -0.0014978687690773184,
      -0.0015459303683251272,
      -0.0015932375073009436,
      -0.0016398020634631337,
      -0.0016856356323953518,
      -0.001730749706853688,
      -0.0017751556456039358,
      -0.001818864520828236,
      -0.0018618872506982686,
      -0.0019042346549854898,
      -0.0019459173637326392,
      -0.0019869458083461963,
      -0.002027330179762129,
      -0.0020670806339037977,
      -0.00210620708327356,
      -0.0021447194014177153,
      -0.0021826272455003483,
      -0.0022199400494917498,
      -0.002256667112295254,
      -0.002292817729432728,
      -0.0023284008989607084,
      -0.0023634254902322486,
      -0.0023979002534385767,
      -0.0024318338793003513,
      -0.0024652347977816543
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334965754835892,
      10.09436511981847,
      9.847841293049246,
      9.59812697494363,
      9.347608859478873,
      9.098355513477314,
      8.85208918577201,
      8.610173344855907,
      8.373615071415436,
      8.143084627418013,
      7.918943926485043,
      7.701287269442754,
      7.489990869262866,
      7.28476401551884,
      7.085198542913362,
      6.890814731675464,
      6.701099291228964,
      6.515537246699462,
      6.333638436075049,
      6.154954189119695,
      5.97908985026858,
      5.80570372329601,
      5.634521929182809,
      5.465353398239913,
      5.298085117505883,
      5.132681588880504,
      4.969179293585536,
      4.807687491045583,
      4.648391222773032,
      4.491571532714396,
      4.337563851238577,
      4.1867284145868915,
      4.039445859552002,
      3.8961087254847317,
      3.7571027440030607,
      3.6227831234573915,
      3.4934642696519282,
      3.3694118961793076,
      3.250837559329109,
      3.137895662066998,
      3.0306797962707064,
      2.929210843470802,
      2.833438914394364,
      2.743231273776411,
      2.6583945899830357,
      2.578698107973245,
      2.503895471575114,
      2.43373041907785,
      2.367938159664685,
      2.306242041375142,
      2.248341899728197,
      2.1938749440191856,
      2.1424693651997533,
      2.0937791477924277,
      2.0474783993384205,
      2.003265914716672,
      1.9608946850112619,
      1.9201612738470812,
      1.8808961306050558,
      1.8429643135841407,
      1.8062540154574613,
      1.7706663224490728,
      1.7361166726319224,
      1.7025362152683094,
      1.6698674731563923,
      1.6380613301719211,
      1.6070749213733493,
      1.5768701489139076,
      1.5474126320643233,
      1.5186709583970621,
      1.4906161453785212,
      1.4632208028377474,
      1.4364577257616087,
      1.4103016447420718,
      1.3847297774695912,
      1.3597238756493601,
      1.3352676763938534,
      1.3113458032806262,
      1.28794495489186,
      1.2650514136522908,
      1.2426510105511186,
      1.2207295041820085,
      1.1992728178839558,
      1.1782671851628441,
      1.157699235756341,
      1.1375562815258595,
      1.117827078994203,
      1.098500889002427,
      1.079567502441257,
      1.061016787097538,
      1.042838640270215,
      1.0250230986741367,
      1.0075604207681705,
      0.9904411336593629,
      0.9736560589687884,
      0.9571963234566443,
      0.9410533606287392,
      0.9252189066706618,
      0.9096849935754899,
      0.8944439387504097,
      0.8794883352046207,
      0.8648110398931674,
      0.8504051694796202,
      0.8362640985993532,
      0.8223814307050233,
      0.8087509854932938,
      0.7953667904477033,
      0.7822230728496289,
      0.7693142509875516,
      0.7566349264415567,
      0.7441798757283538,
      0.7319440436025116,
      0.7199225358306997,
      0.7081106113590834,
      0.6965038442945997,
      0.6850983305435009,
      0.6738901778316362,
      0.6628754579247192,
      0.6520502594837949,
      0.6414107213001635,
      0.6309530520888893,
      0.6206735185151302,
      0.6105684217394405,
      0.6006341706974392,
      0.5908672887875189,
      0.5812644042120743,
      0.571822242522702,
      0.5625376214649976,
      0.5534074453980636,
      0.5444287019550713,
      0.5355984579161567,
      0.5269138560436213,
      0.5183721123415536,
      0.5099705133270559,
      0.5017064132319367,
      0.4935772316851087,
      0.4855804517418116,
      0.47771361738627277,
      0.46997436490460953,
      0.4623610110217325,
      0.45487214121441744,
      0.4475060448201924,
      0.4402608418576637,
      0.4331345615202673,
      0.42612519198833426,
      0.41923071163951614,
      0.4124491088767855,
      0.4057783941918489,
      0.3992166073682964,
      0.39276182166911094,
      0.38641226755563446,
      0.38016643163719505,
      0.37402274808127567,
      0.3679795840333957,
      0.3620352769148691,
      0.3561881579484952,
      0.3504365669022122,
      0.3447788610627269,
      0.33921342079472705,
      0.33373871815174644,
      0.32835335088519324,
      0.3230558989878253,
      0.31784492294454697,
      0.31271898120229136,
      0.3076766409636544,
      0.30271648516123434,
      0.2978371388931684,
      0.29303714170799045,
      0.28831487868836136,
      0.2836688310351853,
      0.27909758106605254,
      0.27459978466086754,
      0.2701741532131254,
      0.26581944200949686,
      0.26153444228927936,
      0.2573179760803918,
      0.2531688923962761,
      0.24908606511337178,
      0.245068643886444,
      0.24111603233399587,
      0.2372274962460041,
      0.23340207057929463,
      0.22963858995936642,
      0.22593592649228844,
      0.22229300519571324,
      0.21870879200152504,
      0.21518228549883375,
      0.21171251161220775,
      0.20829851984806677,
      0.20493938061363975,
      0.20163418014236395,
      0.1983819428012795,
      0.1951816789653736,
      0.1920324591159069,
      0.18893339782466106,
      0.18588364343488104,
      0.1828823711674038,
      0.17992877841746385,
      0.1770220816671248,
      0.17416151441625805,
      0.17134632543869255,
      0.16857577789861297,
      0.16584914854876587,
      0.16316572709720764,
      0.160524815798355,
      0.15792572899399224,
      0.1553677928003697,
      0.15285034477572482,
      0.15037273380297284,
      0.14793431969766943,
      0.1455344730559823,
      0.1431725751008806,
      0.14084801736098063,
      0.13856020149945353,
      0.13630853918483357,
      0.13409245178725862,
      0.1319113703387276,
      0.12976473532456004,
      0.1276519964397973,
      0.1255726124747452,
      0.12352605122226804,
      0.12151178908818057,
      0.11952931111017204,
      0.11757811083775269,
      0.1156576901821834,
      0.11376755913386258,
      0.11190723570899214,
      0.1100762456356967,
      0.10827412256757594,
      0.10650040771891364,
      0.10475464968367906,
      0.10303640446332248,
      0.10134523530240756,
      0.09968071259376896,
      0.09804241356542485,
      0.09642992227000187,
      0.09484282957908144,
      0.09328073288191392,
      0.09174323619499253,
      0.09022994974052828,
      0.08874049007445876,
      0.08727448006467453,
      0.08583154853821189,
      0.08441133028628679,
      0.08301346596937027,
      0.08163760204615703,
      0.0802833906816295,
      0.07895048955765245,
      0.07763856189713986,
      0.07634727626324929,
      0.07507630640275247,
      0.07382533152514975,
      0.07259403583448167,
      0.07138210859157337,
      0.07018924404486254,
      0.06901514125204519,
      0.06785950415174358,
      0.06672204140778781,
      0.06560246616573444,
      0.06450049631273079,
      0.06341585428692688,
      0.062348266754395226,
      0.06129746484221414,
      0.0602631838599865,
      0.059245163466439855,
      0.058243147295242444,
      0.05725688318444404,
      0.05628612294086042,
      0.05533062224343179,
      0.05439014074566026,
      0.05346444183651083,
      0.05255329259990066,
      0.05165646398831453,
      0.05077373042582987,
      0.04990486994579246,
      0.04904966416091098,
      0.04820789805572864,
      0.04737936014194525,
      0.04656384219430276,
      0.04576113928243381,
      0.04497104969684449,
      0.04419337497339406,
      0.043427919678596126,
      0.04267449165530077,
      0.04193290150432016,
      0.041202963050266585,
      0.04048449304324009,
      0.03977731109769095,
      0.039081239658112596,
      0.03839610395987152,
      0.037721731978055804,
      0.03705795444429335,
      0.03640460469289284,
      0.0357615188031843,
      0.03512853539921992,
      0.03450549557396745,
      0.03389224293099442,
      0.03328862359761225,
      0.03269448618453145,
      0.03210968156339577,
      0.031534063099423075,
      0.030967486421941314,
      0.03040980938238813,
      0.029860892027214796,
      0.029320596674313467,
      0.02878878784580553,
      0.028265332120287145,
      0.027750098196757195,
      0.027242956826389848,
      0.026743780886311696,
      0.026252445149521665,
      0.025768826488778256,
      0.025292803642901256,
      0.02482425712423167,
      0.0243630694698754,
      0.023909125093865082,
      0.023462310216611337,
      0.023022512801215592,
      0.022589622585596925,
      0.02216353106457342,
      0.021744131414867852,
      0.02133131854127729,
      0.020924988836892387,
      0.02052504045169935,
      0.020131373154492937,
      0.0197438882647416,
      0.019362488698758572,
      0.018987078767273742,
      0.018617564494221465,
      0.018253853286445312,
      0.017895853952803974,
      0.0175434767857709,
      0.017196633400657243,
      0.01685523691735022,
      0.0165192016896421,
      0.016188443523131327,
      0.015862879574047292,
      0.015542428323635216,
      0.015227009436713585,
      0.014916543853772203,
      0.014610953760858067,
      0.014310162564715071,
      0.014014094884837656,
      0.013722676506092742,
      0.013435834386426846,
      0.013153496720777204,
      0.012875592709973536,
      0.012602052754008034,
      0.012332808414436593,
      0.012067792120445805,
      0.011806937489170435,
      0.011550179103338007,
      0.011297452661948322,
      0.01104869488621455,
      0.01080384350039536,
      0.01056283706610705,
      0.010325615210580329,
      0.010092118447030724,
      0.00986228832931232,
      0.00963606722889683,
      0.009413398452492512,
      0.009194226178412472,
      0.00897849555567457,
      0.008766152648041679,
      0.008557144222092567,
      0.008351417856587504,
      0.00814892198481101,
      0.007949605844814349,
      0.007753419528499149,
      0.007560313912853183,
      0.007370240728018403,
      0.007183152259649481,
      0.006999001632672109,
      0.0068177425952119074,
      0.006639329776195889,
      0.006463718519895994,
      0.006290864882428584,
      0.006120725548490437,
      0.005953257934767419,
      0.005788420041987242,
      0.005626170512647912,
      0.005466468704017439,
      0.005309274687709229,
      0.005154549048477226,
      0.005002253015775573,
      0.004852348495963192,
      0.004704797833739182,
      0.004559564103354193,
      0.004416610887258349,
      0.004275902393958934,
      0.0041374033239933924,
      0.004001079074840558,
      0.003866895566848713,
      0.0037348191412922512,
      0.0036048167145378315,
      0.003476855597274877,
      0.0033509038051740513,
      0.0032269297868548685,
      0.003104902503895811,
      0.0029847913468979983,
      0.0028665662699138748,
      0.0027501977169496154,
      0.002635656550504244,
      0.0025229139879816374,
      0.0024119417051580144,
      0.002302711909402878,
      0.0021951973195914747,
      0.002089371027179903,
      0.0019852064543049584,
      0.0018826775355347354,
      0.0017817585584924633,
      0.0016824242917641175,
      0.001584649892175631,
      0.0014884108265214577,
      0.00139368297873233,
      0.0013004425424056984,
      0.0012086662327589245,
      0.0011183310425392499,
      0.0010294143361355224,
      0.0009418939071114654,
      0.0008557477827857427,
      0.0007709543798736596,
      0.0006874924577009949,
      0.0006053410729664159,
      0.0005244797267822039,
      0.0004448881313445527,
      0.00036654635284377024,
      0.00028943478439140825,
      0.00021353401155456317,
      0.0001388249779585239,
      6.528906298758267e-05,
      -7.092099275117145e-06,
      -7.833668588346132e-05,
      -0.0001484625909652614,
      -0.00021748735597173976,
      -0.0002854282068463099,
      -0.000352302248782036,
      -0.00041812619002405487,
      -0.00048291647089433086,
      -0.0005466893220032584,
      -0.0006094608598435632,
      -0.0006712467111325028,
      -0.0007320623732639692,
      -0.0007919230649255684,
      -0.0008508438115440083,
      -0.0009088394024781149,
      -0.000965924309028176,
      -0.001022112753913757,
      -0.0010774189136187875,
      -0.0011318565285325715,
      -0.0011854393770733397,
      -0.0012381809223762016,
      -0.001290094320741151,
      -0.0013411925113348767,
      -0.0013914882735298398,
      -0.0014409942642015915,
      -0.001489722889360314,
      -0.001537686282932815,
      -0.0015848965770279928,
      -0.0016313655677772155,
      -0.0016771048699039139,
      -0.0017221259496365683,
      -0.0017664400741458435,
      -0.0018100584068110777,
      -0.001852991822089472,
      -0.0018952510562140893,
      -0.0019368467747514517,
      -0.001977789341109668,
      -0.0020180889525875895,
      -0.002057755699425879,
      -0.002096799515398484,
      -0.002135230274140617,
      -0.0021730575860879186,
      -0.00221029089991182,
      -0.0022469395013035133,
      -0.002283012644919571,
      -0.002318519304538431,
      -0.0023534684054279426,
      -0.0023878688021342796,
      -0.002421729058811401,
      -0.002455057616414926
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334962425854858,
      10.094353212821446,
      9.84781476924551,
      9.598081317377664,
      9.347540888769213,
      9.098263119996526,
      8.851971089175208,
      8.610028881100234,
      8.373444086570638,
      8.14288738279641,
      7.918720805914445,
      7.7010386941165665,
      7.489717241206503,
      7.28446569088422,
      7.08487581518467,
      6.890467836848382,
      6.700728458150788,
      6.51514273051801,
      6.33322058186868,
      6.154513489021057,
      5.978626978727882,
      5.805219627658921,
      5.634017768013948,
      5.464830552348157,
      5.297545258685904,
      5.132126608952533,
      4.968611177325329,
      4.807108514134224,
      4.647804231933657,
      4.490980029187442,
      4.336971316378273,
      4.186138337243744,
      4.038861721513322,
      3.8955340176681843,
      3.756540756190764,
      3.622236851653861,
      3.4929363684360335,
      3.368904641722624,
      3.250352826482511,
      3.1374349136482325,
      3.0302440126856256,
      2.928800433327169,
      2.8330537766358503,
      2.742870720754194,
      2.658057294834538,
      2.5783824041876877,
      2.5035995273666543,
      2.433452343387483,
      2.3676759338148075,
      2.305993568047706,
      2.2481050719033338,
      2.1936472679045504,
      2.1422485024486932,
      2.093562984514742,
      2.0472649965880727,
      2.0030535524629296,
      1.9606820108665974,
      1.9199472862780185,
      1.880680115535481,
      1.842745768249826,
      1.8060325537923665,
      1.7704416320154943,
      1.7358885611492954,
      1.7023045745978331,
      1.6696322543228077,
      1.6378225254661318,
      1.60683255082662,
      1.576624251777161,
      1.5471632599996024,
      1.5184181723208392,
      1.4903600112804962,
      1.4629614157200557,
      1.436195217155494,
      1.4100361256355096,
      1.3844614302074514,
      1.3594529923930068,
      1.3349944713018038,
      1.3110706384829611,
      1.2876681704116342,
      1.2647732486754162,
      1.2423716374841243,
      1.2204490509349781,
      1.1989913835190418,
      1.177984850235963,
      1.1574160671012437,
      1.1372723475037625,
      1.1175424569222647,
      1.098215648532668,
      1.079281711933301,
      1.0607304937366997,
      1.042551881996065,
      1.0247359138479095,
      1.007272847610911,
      0.9901532101423546,
      0.9733678227481588,
      0.9569078116480966,
      0.9407646101345786,
      0.9249299539396036,
      0.9093958744051095,
      0.8941546888959144,
      0.879198989656626,
      0.8645216356061461,
      0.8501157532385483,
      0.8359747150596513,
      0.8220921199384315,
      0.8084617842785066,
      0.7950777332406587,
      0.7819341922825959,
      0.7690255787883619,
      0.7563464931734274,
      0.7438917114348328,
      0.7316561776038295,
      0.7196349964605963,
      0.707823426912679,
      0.6962171620371189,
      0.6848123025410332,
      0.6736049088063918,
      0.6625910214058911,
      0.651766708850481,
      0.6411280967644226,
      0.6306713849863675,
      0.6203928335268151,
      0.6102887395943192,
      0.6003555100412924,
      0.5905896667154764,
      0.5809878367631967,
      0.5715467451903301,
      0.5622632087566141,
      0.5531341313015385,
      0.544156499887849,
      0.5353273808189312,
      0.5266439164919339,
      0.5181033224969722,
      0.509702885059945,
      0.5014399579571657,
      0.49331196062373295,
      0.48531637564221175,
      0.47745074641661145,
      0.46971275385683114,
      0.46210077477733535,
      0.45461335347623555,
      0.4472487535399306,
      0.44000507817127354,
      0.4328803459241685,
      0.4258725378282413,
      0.4189796276289541,
      0.4121996006024484,
      0.40553046539996657,
      0.3989702604772386,
      0.39251705812051824,
      0.3861691125823541,
      0.37992491079555535,
      0.3737828765625901,
      0.36774137038008614,
      0.3617987253352096,
      0.3559532696966746,
      0.35020334127543407,
      0.3445472962226162,
      0.3389835138940853,
      0.3335104767516761,
      0.3281267822323954,
      0.3228310058188646,
      0.3176217049414443,
      0.31249743592531704,
      0.3074567646087016,
      0.3024982730423206,
      0.29762058775103073,
      0.2928222511818332,
      0.28810164770803665,
      0.2834572567154241,
      0.2788876591939063,
      0.2743915100231687,
      0.2699675201603419,
      0.26561444439259,
      0.26133107360918156,
      0.2571162295707442,
      0.2529687612431829,
      0.24888754233024904,
      0.2448717366124697,
      0.24092074827203186,
      0.237033837269106,
      0.23321011325150573,
      0.2294484393733907,
      0.22574764674975414,
      0.22210663363184863,
      0.21852434817428099,
      0.21499977760365246,
      0.21153194026969105,
      0.20811988056426334,
      0.2047626656221197,
      0.2014593772819139,
      0.19820903569626805,
      0.19501065217850194,
      0.19186329780615208,
      0.18876608757264418,
      0.1857181701069536,
      0.18271872080517862,
      0.17976693720395442,
      0.17686203594299899,
      0.17400325030157435,
      0.17118982926119425,
      0.1684210360111657,
      0.16569614748333705,
      0.1630144533691398,
      0.16037525577958334,
      0.15777786913540914,
      0.1552216195100019,
      0.15270584468433251,
      0.15022989357820468,
      0.14779312601074338,
      0.145394912547709,
      0.14303463435344016,
      0.14071168298343298,
      0.13842546020032753,
      0.13617537780645736,
      0.13396085725107085,
      0.131781329533297,
      0.12963623519041947,
      0.1275250239964915,
      0.12544715471455958,
      0.12340209514351314,
      0.12138932176610236,
      0.11940831975522323,
      0.11745858268867845,
      0.115539612367203,
      0.11365091888738342,
      0.11179202030839809,
      0.10996244247188734,
      0.10816171909465828,
      0.10638939142945224,
      0.10464500817286969,
      0.102928125391432,
      0.1012383064022717,
      0.09957512155694832,
      0.09793814816348825,
      0.0963269703365753,
      0.09474117899115822,
      0.09318037168163167,
      0.091644152304485,
      0.09013213120429578,
      0.08864392511120002,
      0.08717915689071264,
      0.08573745541017068,
      0.08431845552153554,
      0.08292179797606249,
      0.08154712934732061,
      0.08019410187900419,
      0.07886237332115312,
      0.07755160682424066,
      0.07626147101131034,
      0.07499163997442816,
      0.07374179280732919,
      0.07251161376024662,
      0.07130079225442637,
      0.07010902254006769,
      0.06893600384876784,
      0.06778144008076814,
      0.06664504001805562,
      0.06552651702714192,
      0.06442558894444986,
      0.06334197814949268,
      0.062275411432212865,
      0.06122562014394527,
      0.06019233965899188,
      0.0591753095571099,
      0.05817427366905371,
      0.05718897984537243,
      0.05621917986700663,
      0.05526462963197666,
      0.05432508876518811,
      0.053400320719871296,
      0.052490092695567085,
      0.05159417573629643,
      0.050712344365295925,
      0.04984437668509522,
      0.04899005434450103,
      0.04814916248080619,
      0.0473214896371863,
      0.04650682764812136,
      0.045704971665043385,
      0.04491572001567477,
      0.04413887433069175,
      0.04337423932293254,
      0.04262162276627059,
      0.04188083544159048,
      0.04115169127230018,
      0.040434006985092114,
      0.039727602236595494,
      0.03903229961074135,
      0.038347924430577836,
      0.03767430473316505,
      0.03701127127694322,
      0.03635865750877783,
      0.035716299509583424,
      0.03508403599762404,
      0.03446170818931083,
      0.03384915987638715,
      0.03324623720463162,
      0.03265278879221852,
      0.03206866564773666,
      0.031493721116558085,
      0.030927810817071962,
      0.030370792681214526,
      0.029822526959343836,
      0.029282876074888428,
      0.028751704500376927,
      0.028228878863976976,
      0.027714267905293848,
      0.027207742560134387,
      0.026709175659538197,
      0.026218442189524384,
      0.025735418999175908,
      0.02525998483457609,
      0.02479202037311896,
      0.024331408259409718,
      0.023878032881339148,
      0.023431780490249292,
      0.02299253911190229,
      0.02256019862358609,
      0.022134650622004065,
      0.02171578832969853,
      0.021303506552238824,
      0.020897701826197098,
      0.020498272421035434,
      0.020105118157062646,
      0.019718140331196465,
      0.01933724200445526,
      0.018962327609655185,
      0.018593303098632295,
      0.01823007592351328,
      0.01787255497977944,
      0.01752065054782607,
      0.01717427445059896,
      0.016833339771505966,
      0.016497761016438395,
      0.016167454064797124,
      0.015842336011576082,
      0.015522325332270862,
      0.015207341709674591,
      0.014897306265931533,
      0.014592141310487533,
      0.014291770226544856,
      0.013996117692255297,
      0.0137051095950724,
      0.013418672970404203,
      0.013136736014313352,
      0.012859227967451673,
      0.012586079244628305,
      0.01231722143545857,
      0.012052587093254089,
      0.01179210980125968,
      0.011535724293971279,
      0.011283366245500187,
      0.011034972481789721,
      0.01079048061172445,
      0.010549829342307134,
      0.010312958416351601,
      0.010079808407845704,
      0.009850320864204214,
      0.00962443830582481,
      0.009402104070569628,
      0.009183262403269495,
      0.008967858357758755,
      0.008755837950222816,
      0.008547148036488629,
      0.008341736364346973,
      0.008139551412885263,
      0.007940542419440446,
      0.007744659485760452,
      0.007551853509305275,
      0.007362076283325614,
      0.007175280110400915,
      0.0069914182450846706,
      0.0068104445322636036,
      0.006632313576008451,
      0.0064569806693974725,
      0.00628440193082006,
      0.00611453414453402,
      0.005947334711968378,
      0.005782761668865698,
      0.005620773749684414,
      0.005461330397299923,
      0.00530439158477603,
      0.00514991801456382,
      0.004997871015121072,
      0.0048482124145576184,
      0.00470090468340577,
      0.004555910869937565,
      0.004413194639831025,
      0.004272720228740733,
      0.00413445242292844,
      0.003998356471713662,
      0.0038643983012176266,
      0.0037325444248813215,
      0.003602761729545027,
      0.0034750177143168543,
      0.0033492803184740766,
      0.00322551793547865,
      0.003103699632561692,
      0.002983794876545981,
      0.0028657735348806175,
      0.0027496060880138323,
      0.0026352634310266615,
      0.002522716994605903,
      0.0024119384293161002,
      0.002302899952524225,
      0.002195574213604518,
      0.002089934352047735,
      0.0019859538794367187,
      0.0018836066898140185,
      0.001782867218154496,
      0.0016837101679607273,
      0.0015861106794861958,
      0.00149004426369409,
      0.0013954869416372096,
      0.001302414895731578,
      0.001210804739015179,
      0.0011206335695121176,
      0.0010318787850089003,
      0.0009445181340532338,
      0.0008585298514282519,
      0.000773892318231995,
      0.0006905842251717562,
      0.0006085847494707233,
      0.0005278733588218907,
      0.0004484297752841578,
      0.00037023408005499306,
      0.0002932667244620787,
      0.00021750842131348556,
      0.0001429401328099149,
      6.954310398215779e-05,
      -2.7010138309467097e-06,
      -7.38103621090927e-05,
      -0.00014380277472713913,
      -0.00021269570160613462,
      -0.00028050629638752837,
      -0.0003472517000142412,
      -0.00041294866265685534,
      -0.00047761364773790194,
      -0.000541262928335396,
      -0.0006039125174692783,
      -0.0006655779956398964,
      -0.0007262747756396829,
      -0.0007860181565445322,
      -0.0008448230912025483,
      -0.0009027042959361338,
      -0.0009596762382360391,
      -0.001015753269964764,
      -0.0010709494736085687,
      -0.0011252786349283386,
      -0.0011787544754972704,
      -0.0012313902863523712,
      -0.0012831993048973566,
      -0.0013341944422645038,
      -0.0013843885566517413,
      -0.0014337942048373896,
      -0.0014824237678235253,
      -0.0015302894740806359,
      -0.0015774033011099473,
      -0.0016237771371533237,
      -0.0016694225858633529,
      -0.0017143509930440653,
      -0.0017585736755552734,
      -0.001802101736838171,
      -0.0018449459640742533,
      -0.001887117112308849,
      -0.0019286258193802865,
      -0.001969482469665823,
      -0.002009697362031275,
      -0.0020492805276625596,
      -0.002088241934809251,
      -0.002126591343448625,
      -0.002164338400898235,
      -0.002201492526903251,
      -0.0022380630588801314,
      -0.0022740591167328423,
      -0.0023094897533397856,
      -0.0023443638435907085,
      -0.0023786900492603793,
      -0.002412477094887066,
      -0.002445733471056201
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334959095449829,
      10.094341301354875,
      9.84778823354264,
      9.59803563437508,
      9.347472874214523,
      9.098170662459749,
      8.851852905253834,
      8.609884302759049,
      8.373272958852281,
      8.142689966373071,
      7.918497483840974,
      7.700789885276659,
      7.4894433482105685,
      7.28416706913611,
      7.084552759077873,
      6.890120582690566,
      6.7003572347907445,
      6.514747793600683,
      6.33280227595194,
      6.154072305452969,
      5.9781635931335755,
      5.804734988772297,
      5.633513034106742,
      5.4643071049309295,
      5.297004769440754,
      5.131570970104996,
      4.968042372992492,
      4.806528821557876,
      4.647216500814457,
      4.49038776423401,
      4.336378001955042,
      4.185547464397922,
      4.0382767742691374,
      3.894958491084295,
      3.7559779446977037,
      3.621689753691145,
      3.4924076400615824,
      3.368396560595828,
      3.249867267586023,
      3.136973340678927,
      3.0298074068377363,
      2.928389202720564,
      2.832667820677851,
      2.7425093525404485,
      2.6577191875054726,
      2.5780658904892806,
      2.503302775523958,
      2.4331734626216477,
      2.3674129058948106,
      2.305744295873417,
      2.247867449607751,
      2.1934188039339193,
      2.1420268606339534,
      2.093346052438792,
      2.0470508377955645,
      2.0028404487221145,
      1.9604686102632798,
      1.9197325873588584,
      1.8804634049850297,
      1.8425265432751483,
      1.8058104276680915,
      1.7702162910460457,
      1.7356598124505551,
      1.7020723094774484,
      1.66939642284989,
      1.6375831185284477,
      1.6065895876781338,
      1.5763777713694012,
      1.5469133143808225,
      1.5181648217540966,
      1.4901033217958137,
      1.4627014814297667,
      1.4359321690461846,
      1.4097700741936776,
      1.384192557526186,
      1.3591815905332314,
      1.3347207544762496,
      1.3107949692884429,
      1.2873908888384564,
      1.2644945936860486,
      1.2420917815826351,
      1.2201681224016572,
      1.1987094809943264,
      1.1777020522500752,
      1.1571324402151768,
      1.1369879605429234,
      1.1172573865768822,
      1.0979299641613762,
      1.0789954820390009,
      1.0604437720394317,
      1.0422647052307101,
      1.0244483175393673,
      1.0069848678983158,
      0.9898648836667584,
      0.973079186127625,
      0.9566189016076804,
      0.9404754630701722,
      0.9246406062372405,
      0.9091063621428519,
      0.8938650474868535,
      0.87890925419584,
      0.8642318498577185,
      0.849825963833394,
      0.8356849635062663,
      0.821802443874852,
      0.8081722190629601,
      0.7947883126642441,
      0.781644948863572,
      0.7687365437506923,
      0.7560576969229827,
      0.743603183720956,
      0.7313679473921352,
      0.7193470921011197,
      0.7075358934655794,
      0.6959301542929902,
      0.6845259639765431,
      0.6733193382906058,
      0.6623062888256134,
      0.6514828652269581,
      0.6408451805170664,
      0.6303894267271773,
      0.6201118572623477,
      0.6100087652993826,
      0.6000765559837221,
      0.5903117496308042,
      0.5807109723487442,
      0.5712709485631083,
      0.5619884942158372,
      0.5528605126417129,
      0.5438839904489049,
      0.5350559935798002,
      0.5263736640800989,
      0.5178342174203273,
      0.5094349390670444,
      0.5011731825090303,
      0.4930463666973201,
      0.48505197383260706,
      0.47718754713404476,
      0.46945081204850847,
      0.4618402054446,
      0.4543542305337135,
      0.44699112478618813,
      0.43974897475814484,
      0.43262578804956586,
      0.4256195386310977,
      0.418728195757843,
      0.41194974174585336,
      0.40528218306453523,
      0.39872355680487187,
      0.39227193421249373,
      0.38592559377534763,
      0.3796830227363794,
      0.37354263451987246,
      0.3675027829859462,
      0.3615617967734129,
      0.3557180013368612,
      0.3499697327597472,
      0.3443153457410414,
      0.3387532189224651,
      0.3332818447190498,
      0.32789982054884276,
      0.3226057171709885,
      0.3173980887351298,
      0.31227548973928687,
      0.3072364848120194,
      0.30227965558228737,
      0.2974036295364435,
      0.29260695152962274,
      0.28788800511561863,
      0.28324526802059063,
      0.27867731995912176,
      0.2741828151298827,
      0.2697604638640963,
      0.2654090205901067,
      0.2611272759498879,
      0.2569140514128551,
      0.25276819564514624,
      0.24868858219225987,
      0.24467438893623872,
      0.2407250207764009,
      0.2368397317035575,
      0.233017665874835,
      0.2292577600353709,
      0.22555881240592773,
      0.22191969000891856,
      0.21833932066147319,
      0.2148166779180787,
      0.2113507711481457,
      0.20794063893129372,
      0.20458534458996955,
      0.20128396538792606,
      0.1980355170348448,
      0.19483901170855242,
      0.19169352097235387,
      0.18859816008085642,
      0.18555207781422964,
      0.18255444977492913,
      0.1796044735445486,
      0.1767013657349866,
      0.17384435986742344,
      0.17103270484970015,
      0.16826566394561387,
      0.16554251410545462,
      0.16286254503968917,
      0.16022505903117124,
      0.1576293704751735,
      0.15507480559725642,
      0.1525607020309284,
      0.15008640872505333,
      0.14765128554466297,
      0.14525470311173022,
      0.14289604263758882,
      0.14057469585533525,
      0.13829006446073122,
      0.13604156017298488,
      0.13382860448122208,
      0.13165062846449777,
      0.1295070726654201,
      0.12739738688394994,
      0.12532103001217657,
      0.12327746985196983,
      0.12126618304295939,
      0.11928665468069635,
      0.11733837838102891,
      0.1154208560851925,
      0.11353359785934995,
      0.11167612188554317,
      0.10984795407155662,
      0.1080486281885386,
      0.10627768555047137,
      0.10453467494153243,
      0.10281915244668617,
      0.1011306813641021,
      0.09946883214133041,
      0.09783318209394855,
      0.09622331546542028,
      0.09463882322414856,
      0.09307930288980677,
      0.09154435858546127,
      0.09003360076267182,
      0.08854664609484432,
      0.08708311750005857,
      0.08564264398856616,
      0.08422486050294295,
      0.08282940787747706,
      0.08145593267852098,
      0.08010408715415857,
      0.07877352902266604,
      0.07746392170014416,
      0.0761749339442756,
      0.07490623975903932,
      0.07365751831486164,
      0.07242845401797159,
      0.07121873625469648,
      0.07002805948221928,
      0.0688561229266577,
      0.06770263060418094,
      0.0665672912355681,
      0.06544981833045481,
      0.06434992985673427,
      0.063267348282492,
      0.06220180046597852,
      0.061153017657071415,
      0.06012073547381878,
      0.05910469354509734,
      0.05810463576629487,
      0.057120309997916494,
      0.05615146815183572,
      0.05519786618385758,
      0.054259263827941155,
      0.05333542466942094,
      0.052426115945912996,
      0.05153110866734522,
      0.050650177515245844,
      0.04978310069798577,
      0.04892965994366876,
      0.0480896404141542,
      0.04726283063514448,
      0.046449022671052366,
      0.04564801169622845,
      0.04485959623689688,
      0.04408357785560683,
      0.043319761296406356,
      0.04256795450194372,
      0.041827968340402956,
      0.04109961678934502,
      0.04038271658688483,
      0.03967708748241439,
      0.03898255205640109,
      0.038298935687820085,
      0.03762606660887522,
      0.03696377564269059,
      0.036311896266124605,
      0.0356702647716483,
      0.0350387198801994,
      0.03441710283751102,
      0.03380525741515568,
      0.033203029937037526,
      0.032610269048505454,
      0.03202682580640118,
      0.031452553593740405,
      0.030887308176993002,
      0.03033094758804914,
      0.029783331970381563,
      0.02924432380889544,
      0.028713787736042377,
      0.028191590613353884,
      0.02767760115754913,
      0.027171690311482772,
      0.02667373110214432,
      0.026183598525855487,
      0.02570116940929252,
      0.025226322551062174,
      0.024758938718354325,
      0.024298900625683788,
      0.023846092832302664,
      0.02340040157676049,
      0.022961714897769814,
      0.022529922711206154,
      0.022104916754573656,
      0.021686590207589656,
      0.021274837993076556,
      0.020869556785034882,
      0.02047064491579007,
      0.020078002175198034,
      0.01969153006687483,
      0.01931113161963208,
      0.018936711274799612,
      0.0185681750972184,
      0.0182054306295375,
      0.01784838682286094,
      0.017496953947087286,
      0.01715104382445952,
      0.016810569732264375,
      0.01647544608818883,
      0.01614558891012962,
      0.015820915429863542,
      0.015501344105572495,
      0.015186794734848625,
      0.01487718847113452,
      0.014572447641799583,
      0.014272495697917442,
      0.013977257372314138,
      0.013686658568941327,
      0.0134006264411339,
      0.013119089118657005,
      0.012841975992250941,
      0.01256921752557107,
      0.012300745243307678,
      0.012036491774368344,
      0.011776390874063672,
      0.01152037725932348,
      0.01126838668371747,
      0.011020355870556805,
      0.010776222697426325,
      0.010535925835392162,
      0.010299404980728493,
      0.010066600809389894,
      0.009837455036820637,
      0.00961191004291221,
      0.009389909205724632,
      0.009171396851167468,
      0.008956318199854993,
      0.008744619215824007,
      0.00853624685897649,
      0.008331148902362117,
      0.008129273765262388,
      0.007930570838973836,
      0.0077349903071964815,
      0.00754248315404373,
      0.007353001067338982,
      0.007166496484092632,
      0.006982922626798591,
      0.006802233402300959,
      0.006624383488219146,
      0.006449328244052961,
      0.006277023758743258,
      0.006107426786437138,
      0.005940494754795008,
      0.005776185833297919,
      0.0056144588581963075,
      0.005455273209079494,
      0.005298588929359888,
      0.005144366798299963,
      0.004992568081884124,
      0.0048431546988387955,
      0.004696089077271226,
      0.004551334382708873,
      0.004408854360768831,
      0.004268613182052732,
      0.00413057560066593,
      0.003994707044706409,
      0.00386097344248134,
      0.0037293412476556726,
      0.003599777434928057,
      0.0034722496057276436,
      0.003346725759240426,
      0.0032231743577241846,
      0.003101564380635047,
      0.0029818653112111083,
      0.002864047105588772,
      0.002748080233891457,
      0.0026339356154015457,
      0.0025215847012857204,
      0.002410999222677468,
      0.0023021514297995363,
      0.002195014141822367,
      0.0020895603284324113,
      0.001985763468363239,
      0.00188359757228507,
      0.0017830370297731697,
      0.0016840566489887976,
      0.0015866316212239271,
      0.0014907374809161144,
      0.0013963502320845343,
      0.0013034461205829362,
      0.0012120018461975913,
      0.0011219944266566994,
      0.0010334013046514284,
      0.0009462003100740462,
      0.0008603695729608963,
      0.0007758875076721021,
      0.000692733039998662,
      0.0006108852441937215,
      0.000530323528258373,
      0.0004510277311676019,
      0.00037297796092958723,
      0.0002961546756186807,
      0.0002205385430461245,
      0.00014611057467374226,
      7.285213385287983e-05,
      7.447990168899156e-07,
      -7.022946681952338e-05,
      -0.00014008849530618663,
      -0.0002088498487907664,
      -0.0002765307303840057,
      -0.00034314810258536776,
      -0.0004087186836830558,
      -0.00047325889887807684,
      -0.0005367849575932218,
      -0.0005993128026871183,
      -0.0006608581091726933,
      -0.0007214363587169735,
      -0.0007810627475044478,
      -0.0008397522653151662,
      -0.0008975195252674319,
      -0.0009543789545656295,
      -0.0010103448385254243,
      -0.0010654312750637137,
      -0.0011196521279745418,
      -0.0011730209861161895,
      -0.0012255513376414552,
      -0.0012772563174754095,
      -0.0013281488163439036,
      -0.0013782416647420627,
      -0.001427547409975556,
      -0.0014760783844256229,
      -0.0015238467093151868,
      -0.001570864418808875,
      -0.00161714322721504,
      -0.0016626948232914074,
      -0.001707530680527365,
      -0.0017516620704791923,
      -0.0017950999797496034,
      -0.0018378553314675457,
      -0.0018799388688446762,
      -0.0019213611466224988,
      -0.0019621325724031584,
      -0.0020022633394713536,
      -0.002041763460481614,
      -0.0020806429466041255,
      -0.0021189114778472225,
      -0.002156578689361296,
      -0.002193654056390936,
      -0.0022301468424899165,
      -0.002266066193162275,
      -0.0023014210763625826,
      -0.0023362204067179934,
      -0.002370472978751964,
      -0.0024041872596583676,
      -0.002437371677096484
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334955765858295,
      10.094329385869049,
      9.847761685035218,
      9.59798992514039,
      9.347404815132071,
      9.098078135812864,
      8.851734623917677,
      8.609739599518822,
      8.373101677087936,
      8.142492365933386,
      7.918273948241467,
      7.700540835544877,
      7.489169186086644,
      7.283868151483063,
      7.084229380056027,
      6.889772978629695,
      6.699985635255526,
      6.514352454376707,
      6.332383534077654,
      6.15363064544425,
      5.9776996931909645,
      5.8042497986103765,
      5.633007713613273,
      5.463783036480872,
      5.296463625421065,
      5.1310146432517385,
      4.96747285069077,
      4.805948383094182,
      4.646627997538479,
      4.489794704336165,
      4.335783874471491,
      4.184955763845681,
      4.037690995520685,
      3.8943821362488764,
      3.7554143083070577,
      3.621141836320464,
      3.4918780986170828,
      3.3678876728524365,
      3.2493809098008035,
      3.136510976508353,
      3.029370016913434,
      2.9279771947275943,
      2.8322810912190315,
      2.7421472125429145,
      2.657380309445032,
      2.577748563277181,
      2.503005174617737,
      2.4328937038797367,
      2.3671489771885343,
      2.305494105616729,
      2.247628898438617,
      2.193189406978502,
      2.14180428747984,
      2.093128196778569,
      2.0468357675302133,
      2.0026264489681576,
      1.960254331179472,
      1.9195170285341743,
      1.8802458528160124,
      1.8423064948587038,
      1.8055874962521397,
      1.7699901619566194,
      1.7354302912879973,
      1.7018392862166976,
      1.6691598467222388,
      1.637342979423835,
      1.6063459046650352,
      1.5761305825566392,
      1.5466626709322775,
      1.517910783622062,
      1.4898459542604747,
      1.4624408782327147,
      1.4356684607794963,
      1.4095033712347882,
      1.3839230420467064,
      1.3589095547625198,
      1.3344464122793462,
      1.3105186824528,
      1.2871129969513566,
      1.2642153353606378,
      1.241811328623061,
      1.2198866029562292,
      1.1984269935821408,
      1.177418676361514,
      1.1568482422695865,
      1.1367030082771221,
      1.1169717562738224,
      1.0976437247437807,
      1.0787087012919303,
      1.060156507362933,
      1.0419769988040877,
      1.0241602012185522,
      1.006696375619364,
      0.9895760506692111,
      0.9727900483776043,
      0.9563294950633336,
      0.9401858233975693,
      0.9243507690788921,
      0.9088163629205621,
      0.8935749212480284,
      0.8786190427255872,
      0.8639416007650896,
      0.8495357197226301,
      0.83539476298495,
      0.8215123231038433,
      0.8078822121739745,
      0.7944984526231234,
      0.7813552674578521,
      0.7684470718718236,
      0.7557684647373523,
      0.7433142206020282,
      0.7310792822251277,
      0.719058753273618,
      0.7072479713340215,
      0.6956428243592928,
      0.6842393451628836,
      0.673033513529279,
      0.662021317738727,
      0.6511987920254344,
      0.6405620395065316,
      0.6301072454368852,
      0.6198306577140298,
      0.6097285667781112,
      0.5997973761392571,
      0.5900336049816203,
      0.5804338785207306,
      0.5709949201114128,
      0.56171354540315,
      0.552586657318489,
      0.5436112418750079,
      0.5347843648230471,
      0.5261031676190426,
      0.5175648651975202,
      0.509166742737727,
      0.5009061536071857,
      0.492780516236133,
      0.48478731233024863,
      0.47692408465770386,
      0.46918860339295554,
      0.46157936585235665,
      0.45409483407183776,
      0.4467332193940218,
      0.4394925916912833,
      0.43237094744593596,
      0.4253662536349045,
      0.4184764750620644,
      0.41169959097067393,
      0.4050336057131786,
      0.39847655482589006,
      0.3920265089346992,
      0.3856817706240592,
      0.37944082733408346,
      0.3733020821760012,
      0.3672638821589259,
      0.3613245516140378,
      0.3554824132209927,
      0.3497358010056854,
      0.3440830684309043,
      0.3385225932962321,
      0.33305287819692486,
      0.3276725205175805,
      0.32238008635562354,
      0.3171741268453833,
      0.31205319430093037,
      0.3070158520255376,
      0.3020606818481458,
      0.2971863119114238,
      0.29239128898318445,
      0.28767399611515954,
      0.2830329091566783,
      0.2784666068381308,
      0.273973742535432,
      0.26955302598990044,
      0.2652032112562781,
      0.2609230886630608,
      0.25671147947449385,
      0.2525672322189561,
      0.24848922028049553,
      0.24447663579264012,
      0.24052888402653874,
      0.23664521323092552,
      0.23282476365618135,
      0.2290665613737022,
      0.22536941612783812,
      0.2217321562716095,
      0.21815368411341673,
      0.2146329563844026,
      0.21116897154141803,
      0.20776076096973817,
      0.20440738318958385,
      0.2011079102758229,
      0.1978613529492403,
      0.19466672391217976,
      0.19152309496388475,
      0.1884295817267997,
      0.1853853331634518,
      0.18238952492348637,
      0.17944135460175428,
      0.1765400389541731,
      0.17368481162987998,
      0.17087492161050832,
      0.16810963214693642,
      0.16538822018469349,
      0.1627099753795666,
      0.1600742000682345,
      0.1574802086230685,
      0.1549273273028449,
      0.1524148938812642,
      0.14994225724225035,
      0.14750877726005793,
      0.14511382467138334,
      0.14275678071676112,
      0.1404370370346669,
      0.13815399550847374,
      0.1359070678696719,
      0.13369567560310433,
      0.13151924986167102,
      0.12937723125735537,
      0.1272690696485714,
      0.12519422390472898,
      0.1231521619081263,
      0.1211423602654247,
      0.11916430425641632,
      0.11721748749776248,
      0.11530141195156832,
      0.11341558778190354,
      0.11155953313575907,
      0.1097327741027627,
      0.10793484437584004,
      0.10616528529318936,
      0.10442364568862143,
      0.10270948183062892,
      0.10102235708062111,
      0.09936184185482853,
      0.09772751359706239,
      0.0961189565652124,
      0.09453576190823257,
      0.09297752726373552,
      0.09144385667079441,
      0.08993436053618799,
      0.0884486557118826,
      0.08698636520026423,
      0.0855471180782657,
      0.0841305493279807,
      0.08273629978678575,
      0.08136401614967873,
      0.08001335081120808,
      0.07868396162876197,
      0.07737551197271196,
      0.07608767068810596,
      0.07482011173526901,
      0.07357251453936949,
      0.07234456354198372,
      0.0711359481462793,
      0.06994636281988559,
      0.06877550693004106,
      0.06762308452033906,
      0.06648880448274883,
      0.06537238028307155,
      0.0642735299611669,
      0.06319197610280533,
      0.06212744573015369,
      0.06107967011312976,
      0.06004838479022883,
      0.059033329541812604,
      0.058034248407571286,
      0.05705088938932113,
      0.05608300436221752,
      0.05513034935052988,
      0.054192684188896105,
      0.05326977241127666,
      0.052361381506667234,
      0.05146728256936299,
      0.050587250303176345,
      0.04972106297247589,
      0.04886850243651547,
      0.04802935393982095,
      0.04720340615080643,
      0.04639045097136275,
      0.045590283711831485,
      0.0448027028973805,
      0.0440275103154905,
      0.04326451071008728,
      0.04251351210387193,
      0.04177432553847736,
      0.04104676495333732,
      0.040330647250547455,
      0.039625792240519986,
      0.038932022592643,
      0.03824916375855883,
      0.037577043925004924,
      0.03691549409854949,
      0.03626434783144523,
      0.03562344134904412,
      0.03499261342964302,
      0.0343717054372843,
      0.033760561313663506,
      0.03315902739526454,
      0.03256695240554785,
      0.031984187500441616,
      0.0314105861772198,
      0.03084600422375672,
      0.030290299715372136,
      0.029743332943812494,
      0.02920496644402759,
      0.02867506486407767,
      0.028153495097805008,
      0.027640126069920987,
      0.02713482866245061,
      0.02663747596694586,
      0.02614794299813288,
      0.025666106720426254,
      0.025191846024644124,
      0.024725041788607485,
      0.024265576748189913,
      0.023813335426697307,
      0.02336820421089791,
      0.022930071256136098,
      0.0224988263922135,
      0.022074361398123563,
      0.02165656959421673,
      0.021245345967135284,
      0.02084058727994629,
      0.020442192006655223,
      0.020050060055580583,
      0.0196640928479572,
      0.019284193415336687,
      0.018910266350489625,
      0.018542217764433468,
      0.01817995512211523,
      0.01782338749049432,
      0.017472425316017406,
      0.017126980359703947,
      0.016786965936729955,
      0.016452296665584096,
      0.016122888540756625,
      0.015798658794154662,
      0.015479526079721756,
      0.015165410122568062,
      0.014856232072351408,
      0.014551914321239232,
      0.014252380492291598,
      0.013957555350032047,
      0.013667364848852092,
      0.013381736039747844,
      0.013100597401606625,
      0.01282387821049533,
      0.01255150903236044,
      0.012283421456798095,
      0.012019548121562317,
      0.011759822734572246,
      0.011504180157316777,
      0.011252556174827039,
      0.011004887625589535,
      0.010761112236193008,
      0.010521168956290761,
      0.010284997464352678,
      0.01005253846549818,
      0.00982373356699637,
      0.009598525392746301,
      0.00937685743434859,
      0.00915867396309295,
      0.008943920161272803,
      0.008732542161326731,
      0.008524486904539967,
      0.008319702123844083,
      0.008118136392857134,
      0.007919739108895497,
      0.0077244604596550985,
      0.007532251380299106,
      0.0073430636728342435,
      0.007156849835840307,
      0.006973563113557321,
      0.006793157515939643,
      0.006615587733611972,
      0.006440809176215041,
      0.006268778083867919,
      0.0060994511706918735,
      0.005932785868692745,
      0.005768740402126719,
      0.005607273591948338,
      0.005448344929449806,
      0.00529191449998257,
      0.005137942947211454,
      0.004986391751247232,
      0.00483722275280066,
      0.0046903985379365895,
      0.004545882303931064,
      0.004403637740293535,
      0.004263629076918908,
      0.004125821172817953,
      0.003990179486281539,
      0.003856669983900633,
      0.0037252591149254245,
      0.0035959139278349526,
      0.0034686019409921665,
      0.003343291135895092,
      0.0032199500795138127,
      0.003098547820263006,
      0.0029790538552688806,
      0.00286143818217683,
      0.0027456712582956014,
      0.0026317239926335534,
      0.0025195678605713016,
      0.002409174651968442,
      0.0023005168057361456,
      0.002193566951558365,
      0.002088298248065468,
      0.0019846843090879584,
      0.0018826990872604576,
      0.0017823170010162984,
      0.0016835128084144845,
      0.0015862617691712177,
      0.001490539381970028,
      0.0013963216063017073,
      0.0013035848762625929,
      0.0012123058108857825,
      0.0011224615931068602,
      0.0010340296384040812,
      0.0009469877478352524,
      0.0008613140781876908,
      0.0007769870561562299,
      0.0006939855418892722,
      0.000612288631344682,
      0.0005318759113949687,
      0.00045272722711089524,
      0.0003748227234200702,
      0.0002981427862212066,
      0.00022266818811092037,
      0.00014837994916190085,
      7.525943422194795e-05,
      3.288165264303354e-06,
      -6.755172945301416e-05,
      -0.0001372780500686767,
      -0.00020590839146996791,
      -0.00027345993228347675,
      -0.0003399496423665669,
      -0.00040539422855455007,
      -0.0004698101049629439,
      -0.000533213298202728,
      -0.0005956198221196046,
      -0.0006570453779730703,
      -0.0007175055051544377,
      -0.0007770152797824705,
      -0.0008355896344812841,
      -0.0008932433663192496,
      -0.0009499907620682625,
      -0.001005846150772012,
      -0.0010608234826902313,
      -0.0011149366131368414,
      -0.0011681991151456378,
      -0.0012206243583439405,
      -0.0012722255676317557,
      -0.0013230156524195711,
      -0.0013730074037229753,
      -0.0014222133981784068,
      -0.0014706459071843255,
      -0.0015183171044005595,
      -0.001565239017937195,
      -0.0016114234377358051,
      -0.001656881828201006,
      -0.001701625570394228,
      -0.001745666019546126,
      -0.0017890142315423367,
      -0.001831681025323993,
      -0.001873677120901677,
      -0.001915013041396088,
      -0.0019556993006660897,
      -0.001995746037526009,
      -0.0020351633418123393,
      -0.0020739610330771257,
      -0.002112148832898941,
      -0.0021497363393045334,
      -0.002186732943651648,
      -0.002223148001051118,
      -0.002258990638040331,
      -0.002294269934935266,
      -0.0023289946940350126,
      -0.002363173588889106,
      -0.002396815185492952,
      -0.002429927918741549
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334952435351267,
      10.094317490933685,
      9.847735195312351,
      9.597944302671596,
      9.347336861850149,
      9.09798572831293,
      8.851616468598449,
      8.609595022009403,
      8.372930518235721,
      8.142294882908972,
      7.9180505232134895,
      7.700291888477424,
      7.488895118158873,
      7.283569319337525,
      7.083906078984818,
      6.889425445721197,
      6.699614100135914,
      6.513957174524282,
      6.3319648469240795,
      6.153189036908142,
      5.977235841570708,
      5.803764652326228,
      5.632502432163622,
      5.463259002053149,
      5.295922510822495,
      5.130458341577067,
      4.966903349251891,
      4.805367961918208,
      4.646039509192549,
      4.489201657138135,
      4.335189757974769,
      4.184364073632524,
      4.037105263028632,
      3.8938058902729864,
      3.754850833580716,
      3.620594121921987,
      3.4913487925433073,
      3.3673790447626626,
      3.248894828071361,
      3.1360488987381254,
      3.0289329177286217,
      2.9275654747007396,
      2.8318946408290815,
      2.7417853377849095,
      2.657041678790084,
      2.577431456892957,
      2.502707767906767,
      2.4326141129998815,
      2.3668851897429,
      2.305244030727911,
      2.2473903922871195,
      2.1929599553368577,
      2.141581581203907,
      2.0929101475395386,
      2.046620459057098,
      2.0024121800819197,
      1.9600397619790697,
      1.9193011659169392,
      1.880027989135038,
      1.842086130737108,
      1.8053642475788378,
      1.7697637162425892,
      1.7352004558611127,
      1.7016059524739244,
      1.6689229646055403,
      1.6371025397904717,
      1.6061019261817344,
      1.5758831029878675,
      1.546411741615038,
      1.5176564643876345,
      1.489588310484664,
      1.462180003869783,
      1.4354044861939466,
      1.4092364066470098,
      1.383653268933566,
      1.3586372649363565,
      1.3341718196711174,
      1.3102421496552263,
      1.286834863522384,
      1.2639358400690928,
      1.241530643260301,
      1.2196048545239486,
      1.1981442805580282,
      1.1771350775203862,
      1.1565638237093607,
      1.1364178377064693,
      1.1166859103438491,
      1.0973572771625268,
      1.0784217184216809,
      1.059869045537647,
      1.0416891071727379,
      1.0238719146020332,
      1.0064077234617046,
      0.9892870650548486,
      0.972500762686105,
      0.9560399438407914,
      0.939896041765034,
      0.9240607921350472,
      0.9085262254424562,
      0.893284663080894,
      0.878328711483937,
      0.8636512399928723,
      0.8492453688934261,
      0.8351044591128713,
      0.8212221010183981,
      0.8075921051381942,
      0.7942084928891333,
      0.7810654862781371,
      0.7681574996025784,
      0.7554791311091773,
      0.7430251549567168,
      0.730790513260408,
      0.7187703091859718,
      0.7069599556711524,
      0.695355408109685,
      0.6839526446951552,
      0.6727476101533612,
      0.6617362698216387,
      0.6509146430393576,
      0.6402788230233786,
      0.6298249888909041,
      0.6195493829581832,
      0.6094482925752299,
      0.5995181197192831,
      0.5897553825438616,
      0.5801567055226756,
      0.5707188114715799,
      0.5614385153390684,
      0.5523127196341072,
      0.5433384099346794,
      0.5345126512885273,
      0.5258325850946384,
      0.5172954257742506,
      0.5088984581668584,
      0.5006390350080376,
      0.4925145746364602,
      0.4845225584375273,
      0.476660528751664,
      0.4689263021589497,
      0.461318433501205,
      0.4538353438187066,
      0.4464752187823088,
      0.4392361114502055,
      0.43211600781806536,
      0.42511286786403446,
      0.41822465163132494,
      0.4114493355140177,
      0.40478492176761305,
      0.39822944477583216,
      0.3917809739301231,
      0.3854378357289582,
      0.3791985181853992,
      0.37306141401547366,
      0.3670248633964878,
      0.36108718639684045,
      0.35524670276195125,
      0.3495017446438935,
      0.34385066446593077,
      0.3382918389500384,
      0.33282378067460805,
      0.3274450870341966,
      0.32215431941826095,
      0.3169500262169419,
      0.31183075758966583,
      0.30679507551879465,
      0.30184156194875245,
      0.29696884570839027,
      0.29217547557161144,
      0.2874598340169361,
      0.28282039500926576,
      0.2782557361345789,
      0.2737645099635702,
      0.2693454258301863,
      0.2649972373566496,
      0.2607187344611119,
      0.2565087382703898,
      0.25236609723049297,
      0.24828968451782135,
      0.2442787064202205,
      0.24033256875029207,
      0.23645051392996252,
      0.23263167828206646,
      0.2288751357930989,
      0.22517976442329946,
      0.22154434804694825,
      0.21796776021127737,
      0.2144489388162762,
      0.2109868698339558,
      0.20758057640176758,
      0.20422911178816375,
      0.20093154244630473,
      0.19768687393255727,
      0.19449411926179114,
      0.19135235058921243,
      0.18826068355599496,
      0.18521826726316123,
      0.18222427742754396,
      0.17927791177920688,
      0.1763783871623349,
      0.17352493713360098,
      0.17071681068638625,
      0.16795327114873396,
      0.1652335953473895,
      0.16255707315683343,
      0.1599230068527796,
      0.15733071096891302,
      0.15477951174701687,
      0.15226874689163494,
      0.1497977653683768,
      0.14736592712453847,
      0.14497260294210762,
      0.1426171740791047,
      0.14029903223275775,
      0.1380175791383478,
      0.13577222655948315,
      0.13356239618668073,
      0.1313875191644246,
      0.12924703609167057,
      0.12714039685971762,
      0.1250670604355818,
      0.12302649486390678,
      0.12101817669891039,
      0.11904159128334639,
      0.11709623232336891,
      0.11518160182676375,
      0.1132972099596567,
      0.11144257494818617,
      0.10961722297447025,
      0.10782068771643558,
      0.10605251070778665,
      0.10431224078803347,
      0.1025994340730979,
      0.10091365407093861,
      0.0992544713255291,
      0.09762146343476061,
      0.09601421467809154,
      0.09443231604246081,
      0.09287536534108468,
      0.09134296668111513,
      0.08983473058922925,
      0.08835027402574859,
      0.08688922006480551,
      0.08545119769769365,
      0.08403584210836593,
      0.08264279420087793,
      0.0812717007454416,
      0.07992221407073907,
      0.07859399212923751,
      0.07728669845837768,
      0.0760000018788118,
      0.07473357648163871,
      0.07348710177778818,
      0.0722602622216002,
      0.07105274728589517,
      0.06986425165123672,
      0.06869447459011611,
      0.0675431203252593,
      0.06640989780145269,
      0.06529452054822647,
      0.06419670682939184,
      0.06311617914821233,
      0.06205266453217851,
      0.06100589438531726,
      0.05997560434109548,
      0.058961534213829984,
      0.05796342805437171,
      0.056981033989378024,
      0.056014104139673226,
      0.05506239447690264,
      0.054125664968276324,
      0.05320367929716237,
      0.05229620483310292,
      0.051403012790538744,
      0.05052387792176032,
      0.049658578627049546,
      0.04880689681160173,
      0.04796861772996569,
      0.04714353012965244,
      0.046331426121346185,
      0.04553210108767407,
      0.04474535356611941,
      0.04397098530928441,
      0.04320880126175906,
      0.04245860953672379,
      0.04172022120723517,
      0.0409934503093086,
      0.0402781137384177,
      0.039574031446659844,
      0.03888102617418772,
      0.03819892348734246,
      0.03752755162394732,
      0.03686674163199056,
      0.03621632716584713,
      0.03557614447411769,
      0.03494603244167277,
      0.03432583252736782,
      0.033715388686437364,
      0.03311454732785078,
      0.03252315729373722,
      0.03194106968266576,
      0.03136813818458434,
      0.030804218674675483,
      0.03024916923590528,
      0.029702850196106044,
      0.029165124161339043,
      0.028635855905193342,
      0.028114912368198516,
      0.027602162538529453,
      0.027097477436124798,
      0.026600730174435438,
      0.026111795776004924,
      0.025630551249895474,
      0.025156875587543565,
      0.024690649849351945,
      0.024231756680139417,
      0.023780080696200124,
      0.02333550830702025,
      0.02289792777990846,
      0.022467229158723515,
      0.022043304132447712,
      0.021626046123355912,
      0.02121535024332142,
      0.020811113226632122,
      0.020413233437555935,
      0.02002161087939372,
      0.019636147178157308,
      0.01925674549619784,
      0.018883310356403372,
      0.01851574796800723,
      0.01815396594803344,
      0.0177978733410608,
      0.01744738066366928,
      0.017102399757161088,
      0.016762843989351964,
      0.01642862799751337,
      0.016099667811962357,
      0.015775880673172985,
      0.015457185343661098,
      0.01514350178295336,
      0.014834751075596021,
      0.014530855611615776,
      0.014231739068522254,
      0.013937326232690471,
      0.013647543111885591,
      0.01336231691847235,
      0.013081576038579738,
      0.012805249814634465,
      0.012533268936484624,
      0.012265565003818897,
      0.01200207073542726,
      0.011742719997508621,
      0.011487447639971393,
      0.01123618952075585,
      0.010988882368575294,
      0.010745464031078504,
      0.01050587339636193,
      0.010270050318603561,
      0.01003793553465532,
      0.009809470743490064,
      0.009584598612745772,
      0.009363262598247692,
      0.009145407065800465,
      0.008930977219010806,
      0.008719919202597931,
      0.008512179954541458,
      0.008307707315953448,
      0.008106449908995849,
      0.00790835719633884,
      0.007713379422604454,
      0.007521467635486498,
      0.007332573659024064,
      0.007146650012653419,
      0.0069636498202882225,
      0.006783527237155583,
      0.006606236938912675,
      0.006431734491021063,
      0.006259976047043467,
      0.006090918430917289,
      0.00592451924765544,
      0.005760736602211232,
      0.005599529380804688,
      0.005440857102317121,
      0.005284679879035258,
      0.005130958451735971,
      0.004979654220098991,
      0.004830729091174923,
      0.004684145660649474,
      0.00453986723138027,
      0.004397857529506896,
      0.004258080835568889,
      0.004120502073197566,
      0.003985086652562464,
      0.003851800518768839,
      0.0037206102220634406,
      0.003591482818085054,
      0.0034643858786528215,
      0.0033392874089478676,
      0.003216156103528145,
      0.0030949610200530385,
      0.0029756716548402493,
      0.0028582580330503925,
      0.0027426906930070483,
      0.002628940551194693,
      0.0025169790235837633,
      0.002406777996155044,
      0.0022983098607694823,
      0.0021915472413916396,
      0.0020864633956193296,
      0.0019830318804884618,
      0.00188122676704982,
      0.0017810225128370425,
      0.0016823939443691687,
      0.0015853162920300805,
      0.001489765086390096,
      0.0013957164183033821,
      0.0013031466287751169,
      0.001212032476996741,
      0.001122351049138982,
      0.0010340797253907273,
      0.0009471964223639678,
      0.0008616792705841236,
      0.0007775067959973458,
      0.0006946578929507381,
      0.0006131116459098398,
      0.0005328476799132401,
      0.0004538458768853787,
      0.0003760863605001937,
      0.00029954953881860136,
      0.00022421613554690693,
      0.00015006723531218834,
      7.708433023555782e-05,
      5.249037216910872e-06,
      -6.545678951859398e-05,
      -0.0001350508372050903,
      -0.00020355058209567048,
      -0.00027097312266673233,
      -0.0003373354758292979,
      -0.0004026543255144978,
      -0.00046694608823894456,
      -0.0005302268822071025,
      -0.0005925125842004686,
      -0.0006538188983179782,
      -0.0007141611948075343,
      -0.0007735546787640997,
      -0.0008320142206258998,
      -0.0008895544529122677,
      -0.0009461898784686695,
      -0.0010019348191676475,
      -0.0010568032242082308,
      -0.0011108089093867105,
      -0.0011639653884830627,
      -0.0012162860091911119,
      -0.0012677838782035491,
      -0.001318471963624029,
      -0.0013683630696245037,
      -0.0014174697783539115,
      -0.0014658043085379112,
      -0.001513378811766514,
      -0.001560205229197651,
      -0.0016062953511475787,
      -0.0016516606597940249,
      -0.0016963126988375561,
      -0.001740262635250848,
      -0.0017835214620957342,
      -0.001826100035409985,
      -0.0018680090023526317,
      -0.0019092589829111024,
      -0.00194986034437404,
      -0.001989823273983803,
      -0.0020291578314633103,
      -0.0020678738804454653,
      -0.002105981184642342,
      -0.002143489267723052,
      -0.0021804076737161684,
      -0.0022167455523308295,
      -0.002252512032573581,
      -0.002287716029332454,
      -0.0023223664118809384,
      -0.002356471943362697,
      -0.0023900411816046028,
      -0.0024230825891276013
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33494910769219,
      10.094305786623622,
      9.847709236111836,
      9.597899494826763,
      9.347269958415987,
      9.097894560971536,
      8.851499704380814,
      8.609451953284237,
      8.372760956589506,
      8.142099063968029,
      7.917828809611461,
      7.700044684579736,
      7.488622815828144,
      7.283272266572698,
      7.0835845644700255,
      6.889079703232928,
      6.699244357159578,
      6.513563686263962,
      6.331547948290302,
      6.152749212486346,
      5.976773769817556,
      5.803281283474671,
      5.6319989265649015,
      5.462736742132634,
      5.295383167078754,
      5.129903805166254,
      4.966335607023009,
      4.804789291772831,
      4.645452760457281,
      4.488610334452182,
      4.334597347381351,
      4.183774067095784,
      4.0365211867963655,
      3.89323126911773,
      3.754288948275993,
      3.6200479584947645,
      3.4908209942455213,
      3.3668718767960284,
      3.248410154280829,
      3.135588172761848,
      3.0284971106213923,
      2.9271549834461488,
      2.831509353092939,
      2.741424556925406,
      2.656704072940754,
      2.577115307489414,
      2.50241125093452,
      2.4323353463366306,
      2.36662216499841,
      2.3049946611904524,
      2.247152490142701,
      2.192730974758979,
      2.141359239477107,
      2.0926923797742605,
      2.04640536928399,
      2.0021980837285716,
      1.9598253306734417,
      1.9190854156677488,
      1.8798102182028182,
      1.8418658447709657,
      1.8051410656091242,
      1.7695373275125559,
      1.7349706690335536,
      1.7013726598798302,
      1.6686861171237022,
      1.6368621287576917,
      1.6058579708955283,
      1.5756356419932502,
      1.546160826415166,
      1.517402154771513,
      1.4893306717800645,
      1.4619191300271996,
      1.435140508431675,
      1.4089694357266898,
      1.3833834888497372,
      1.3583649676733862,
      1.3338972277194414,
      1.3099656291364354,
      1.2865567497496997,
      1.263656368489751,
      1.241249983468464,
      1.2193231329562813,
      1.197861594571074,
      1.1768515057879565,
      1.1562794316719252,
      1.1361326928748594,
      1.1164000894272659,
      1.0970708539801288,
      1.0781347589913346,
      1.0595816062569021,
      1.0414012375612773,
      1.0235836584518103,
      1.0061191120859398,
      0.9889981258703451,
      0.9722115263551626,
      0.9557504428138807,
      0.9396063096344157,
      0.9237708630340894,
      0.9082361398992669,
      0.8929944684376127,
      0.8780384511830457,
      0.8633609537366814,
      0.8489550941099779,
      0.8348142308827327,
      0.8209319531586766,
      0.8073020705630709,
      0.7939186032997833,
      0.7807757725796226,
      0.7678679921834081,
      0.7551898597815078,
      0.7427361489897759,
      0.7305018013281572,
      0.7184819193567775,
      0.7066720367893129,
      0.6950681142617797,
      0.683666081727407,
      0.6724618526714893,
      0.6614513719638699,
      0.6506306455192843,
      0.6399957580406026,
      0.6295428825660289,
      0.6192682562410717,
      0.6091681639617191,
      0.5992390062986086,
      0.5894773003737108,
      0.5798796697641149,
      0.5704428365906429,
      0.5611636156047767,
      0.5520389088710771,
      0.5430657016496218,
      0.5342410584334069,
      0.5255621201267514,
      0.5170261008107297,
      0.5086302848775445,
      0.5003720248578272,
      0.49224873848495315,
      0.4842579069460134,
      0.47639707230011075,
      0.46866413690332376,
      0.4610576583737327,
      0.4535760229799695,
      0.4462173937199398,
      0.43897980948500875,
      0.431861246688959,
      0.4248596590293416,
      0.41797300265299236,
      0.4111992511515709,
      0.40453640528702056,
      0.3979824978999003,
      0.3915356031889065,
      0.38519406875338635,
      0.3789563775234153,
      0.3728209129196388,
      0.3667860092022154,
      0.36084998252731326,
      0.35501115014318513,
      0.34926784257317806,
      0.3436184110257644,
      0.3380612350639767,
      0.3325948354859181,
      0.32721780575000786,
      0.3219287033035039,
      0.31672607381548457,
      0.31160846607281373,
      0.3065744407917985,
      0.301622580111234,
      0.2967515138148287,
      0.2919597923657569,
      0.28724579777060777,
      0.28260800251551854,
      0.27804498301558345,
      0.27355539112491845,
      0.2691379354651639,
      0.2647913691874388,
      0.26051448216767115,
      0.25630609515387,
      0.252165056382434,
      0.24809023897399837,
      0.24408086340831822,
      0.2401363358736877,
      0.2362558930025317,
      0.23243866729073565,
      0.22868373066621553,
      0.22499005627725288,
      0.22135643280898767,
      0.21778169600202096,
      0.21426475901098654,
      0.21080459146198138,
      0.2074002057730999,
      0.2040506482338983,
      0.2007549784572124,
      0.19751219610756085,
      0.1943213141847413,
      0.1911814046342866,
      0.18809158299746365,
      0.1850509984094256,
      0.1820588265887224,
      0.1791142651958593,
      0.17621653103483392,
      0.173364857860548,
      0.17055849449205934,
      0.16779670432658958,
      0.16507876428656382,
      0.16240396424114048,
      0.15977160652447722,
      0.1571810056648076,
      0.1546314878720511,
      0.15212239090652768,
      0.14965306377473062,
      0.14722286644384278,
      0.1448311697127316,
      0.14247735491037336,
      0.14016081380803994,
      0.13788094817332094,
      0.13563716984926,
      0.13342890049997527,
      0.13125557133454527,
      0.12911662310744543,
      0.12701150568934777,
      0.12493967811101511,
      0.12290060824690402,
      0.12089377285062666,
      0.11891865712792332,
      0.11697475494090331,
      0.11506156841562598,
      0.11317860774787983,
      0.1113253912704876,
      0.10950144514556162,
      0.10770630326063284,
      0.10593950709884575,
      0.10420060558969774,
      0.10248915495892341,
      0.10080471867874535,
      0.09914686735979975,
      0.09751517852713407,
      0.0959092366102379,
      0.0943286328484785,
      0.09277296501611765,
      0.0912418373479415,
      0.08973486047418519,
      0.08825165130135645,
      0.08679183290836817,
      0.08535503442909811,
      0.08394089106774148,
      0.08254904376613947,
      0.081179139349752,
      0.0798308302900977,
      0.07850377466555293,
      0.07719763592250739,
      0.07591208308847781,
      0.07464679035298324,
      0.07340143717893133,
      0.07217570821386304,
      0.07096929304159862,
      0.06978188622203761,
      0.06861318721268099,
      0.06746290020237013,
      0.06633073425532304,
      0.0652164030150565,
      0.06411962473661081,
      0.06304012212258618,
      0.06197762226168909,
      0.06093185656735158,
      0.05990256071636749,
      0.05888947477531564,
      0.05789234276739875,
      0.056910912845627555,
      0.055944937252516265,
      0.05499417200215355,
      0.05405837707280892,
      0.05313731627710273,
      0.05223075718788839,
      0.05133847105924653,
      0.050460232621217745,
      0.049595820336403064,
      0.048745016126407865,
      0.04790760544215915,
      0.047083377036246384,
      0.046272123097159765,
      0.04547363921226157,
      0.044687723923970996,
      0.04391417914613642,
      0.04315280992851488,
      0.042403424277829796,
      0.04166583332403276,
      0.040939851123182325,
      0.040225294827480294,
      0.03952198441906651,
      0.03882974257842722,
      0.03814839493201723,
      0.03747776993604924,
      0.03681769870741844,
      0.03616801496029035,
      0.035528555038430464,
      0.03489915794199482,
      0.034279665138514805,
      0.03366992052308096,
      0.03306977072548869,
      0.03247906454337646,
      0.03189765329355011,
      0.03132539061321059,
      0.03076213246098617,
      0.030207737024898547,
      0.0296620647857058,
      0.029124978372300624,
      0.02859634255949336,
      0.028076024350233257,
      0.027563892754575367,
      0.02705981885643361,
      0.026563675945974943,
      0.026075339100130955,
      0.02559468534300321,
      0.02512159383930925,
      0.024655945548598818,
      0.02419762327499818,
      0.023746511571088945,
      0.023302497106920637,
      0.02286546813083506,
      0.022435314738444356,
      0.022011928677429408,
      0.02159520347729959,
      0.02118503432523572,
      0.020781317999167423,
      0.020383952940584656,
      0.019992839244914313,
      0.0196078785180483,
      0.01922897391112107,
      0.01885603007176666,
      0.018488953222237783,
      0.01812765106538689,
      0.017772032722258104,
      0.017422008770225907,
      0.017077491210542826,
      0.016738393416249657,
      0.016404630072627945,
      0.016076117230669748,
      0.015752772245200046,
      0.015434513801037443,
      0.01512126189290292,
      0.014812937747225719,
      0.014509463774238071,
      0.01421076374720015,
      0.013916762458753333,
      0.013627386037097466,
      0.013342561700608805,
      0.01306221780953535,
      0.012786283909624482,
      0.012514690602058858,
      0.01224736960838978,
      0.011984253738303207,
      0.01172527680386513,
      0.011470373703697075,
      0.011219480339282918,
      0.010972533636349249,
      0.010729471564426557,
      0.010490233010655934,
      0.010254757690827208,
      0.010022986447494105,
      0.009794860998727017,
      0.009570324001945801,
      0.009349319153603224,
      0.009131790815323839,
      0.008917684292076735,
      0.00870694567459039,
      0.008499521971498577,
      0.008295361085714712,
      0.008094411718388785,
      0.007896623326369739,
      0.007701946146689534,
      0.007510331300181859,
      0.00732173055524229,
      0.007136096456582139,
      0.006953382387030592,
      0.006773542276361566,
      0.006596530999703407,
      0.00642230410461058,
      0.006250817891246598,
      0.006082029209096989,
      0.00591589553571902,
      0.005752375140638641,
      0.0055914269340707045,
      0.005433010439551233,
      0.005277085870287706,
      0.005123613960310688,
      0.004972556090096429,
      0.0048238743069410174,
      0.00467753128405948,
      0.0045334902185157734,
      0.004391714966850257,
      0.0042521698011960115,
      0.004114819682751475,
      0.003979630022335469,
      0.003846566856334806,
      0.0037155967579168576,
      0.0035866867884760205,
      0.0034598045910962634,
      0.003334918263268403,
      0.003211996435605813,
      0.003091008103928757,
      0.002971922857422122,
      0.002854710759748696,
      0.002739342332663947,
      0.002625788573911302,
      0.0025140209643722124,
      0.0024040114070789883,
      0.00229573235217149,
      0.0021891565426016306,
      0.0020842570851173914,
      0.0019810077200620073,
      0.0018793824956015335,
      0.0017793558822435693,
      0.001680902646982963,
      0.0015839980278718655,
      0.001488617706787978,
      0.0013947376694330121,
      0.0013023343527898607,
      0.0012113845335570631,
      0.0011218653449938947,
      0.0010337542000261003,
      0.0009470290778764089,
      0.000861668170298535,
      0.0007776499679178537,
      0.0006949533028218401,
      0.0006135574373261435,
      0.0005334420079578602,
      0.00045458676107424533,
      0.0003769718613851498,
      0.0003005777057740217,
      0.00022538519653849044,
      0.00015137539887347096,
      7.852975933544052e-05,
      6.830039470128528e-06,
      -6.374189598193665e-05,
      -0.00013320371739273065,
      -0.00020157301169560036,
      -0.0002688668550035771,
      -0.00033510221692849415,
      -0.0004002957281478342,
      -0.0004644637774939591,
      -0.0005276224427655277,
      -0.0005897875920128304,
      -0.0006509749139471776,
      -0.0007111997823908626,
      -0.0007704773294471153,
      -0.0008288224474273972,
      -0.0008862498222444535,
      -0.0009427738252369173,
      -0.0009984087863208879,
      -0.0010531685663303246,
      -0.0011070669552736977,
      -0.0011601175164075968,
      -0.0012123336141822959,
      -0.001263728396629634,
      -0.001314314745201775,
      -0.001364105357163344,
      -0.0014131128526647264,
      -0.0014613494489911522,
      -0.0015088272503412813,
      -0.0015555583271932615,
      -0.0016015542927085812,
      -0.001646826660191976,
      -0.0016913869709985708,
      -0.0017352463817491644,
      -0.0017784159754704594,
      -0.0018209065823005855,
      -0.001862728739369833,
      -0.0019038929293795793,
      -0.0019444096027368513,
      -0.001984288970418358,
      -0.0020235410630711553,
      -0.002062175719642017,
      -0.0021002026513485157,
      -0.0021376314607333014,
      -0.0021744714949531252,
      -0.0022107321306097686,
      -0.0022464224160045434,
      -0.002281551240336708,
      -0.002316127565792905,
      -0.0023501600556300015,
      -0.0023836571908579162,
      -0.002416627398993298
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334945785118256,
      10.09429409531737,
      9.847683300436891,
      9.597854723311404,
      9.34720310348007,
      9.097803454499866,
      8.851383015814399,
      8.609308975630432,
      8.372591502683571,
      8.141903370046542,
      7.917607241332633,
      7.699797647634679,
      7.488350701233917,
      7.2829754225260634,
      7.083263279682288,
      6.888734211258929,
      6.69887488638266,
      6.513170493082539,
      6.331131368808821,
      6.152309731235076,
      5.976312066431408,
      5.802798307524967,
      5.631495838053245,
      5.4622149230431365,
      5.294844288086502,
      5.129349757190338,
      4.965768375937127,
      4.804211155368295,
      4.644866568130866,
      4.488019591427424,
      4.334005539206185,
      4.183184683289977,
      4.035937751009923,
      3.8926573018313424,
      3.753727725816592,
      3.6195024621209737,
      3.4902938629877984,
      3.366365371029956,
      3.2479261342266494,
      3.1351280882893424,
      3.0280619290484445,
      2.9267450984240204,
      2.8311246487584913,
      2.741064334739013,
      2.6563670006506976,
      2.5767996663538053,
      2.502115217892723,
      2.4320570401044885,
      2.3663595772182706,
      2.304745705655448,
      2.2469149798415744,
      2.192502365684614,
      2.1411372516539253,
      2.0924749520139154,
      2.04619060950721,
      2.001984310562679,
      1.9596112168835502,
      1.9188699768776403,
      1.8795927534827304,
      1.841645859761522,
      1.8049181805192969,
      1.7693112319388282,
      1.7347411720791328,
      1.7011396539941126,
      1.668449553081724,
      1.6366219985349588,
      1.6056142944061802,
      1.5753884583245268,
      1.545910187282623,
      1.5171481201509813,
      1.4890733070579971,
      1.461658529643418,
      1.4348768040662192,
      1.4087027377103902,
      1.3831139864662048,
      1.3580929513035045,
      1.3336230142029781,
      1.309689627590715,
      1.2862792434342303,
      1.2633775590987149,
      1.2409700186583787,
      1.2190421243928113,
      1.1975796302615416,
      1.1765686580252974,
      1.1559957624742112,
      1.135848267807601,
      1.1161149828953658,
      1.0967851384567657,
      1.0778484997456443,
      1.0592948591251126,
      1.0411140522959073,
      1.0232960800733994,
      1.0058311821200694,
      0.9887098781291739,
      0.9719229889540673,
      0.955461644797919,
      0.9393172851568385,
      0.9234816536554407,
      0.9079467894703469,
      0.8927050175227946,
      0.8777489379815334,
      0.8630714145334198,
      0.8486655633583743,
      0.8345247420896602,
      0.820642539046894,
      0.8070127632245897,
      0.7936294342383461,
      0.7804867726674141,
      0.7675791917359424,
      0.7549012885731177,
      0.7424478361068957,
      0.7302137754973647,
      0.7181942203777506,
      0.7063848191240104,
      0.694781526655157,
      0.6833802267330298,
      0.6721768024963947,
      0.6611671791575743,
      0.6503473496297125,
      0.6397133902655074,
      0.6292614685661928,
      0.6189878169188998,
      0.6088887176935984,
      0.5989605701850681,
      0.5891998905623161,
      0.5796033017113595,
      0.570167525136733,
      0.5608893749633665,
      0.551765752788155,
      0.5427936432747759,
      0.5339701106151503,
      0.5252922952937243,
      0.5167574111000613,
      0.5083627421037012,
      0.500105640347796,
      0.49198352349141183,
      0.48399387226539653,
      0.4761342284959064,
      0.4684025799559602,
      0.46079748711269936,
      0.45331730143307014,
      0.4459601635931332,
      0.43872409767621906,
      0.43160707076230365,
      0.42460703061693794,
      0.4177219293557362,
      0.4109497380655136,
      0.40428845549847464,
      0.3977361136060289,
      0.3912907984317451,
      0.38495087432279235,
      0.3787148118570427,
      0.37258098670281226,
      0.3665477281514338,
      0.3606133489820713,
      0.354776164222371,
      0.34903450293844523,
      0.34338671528043646,
      0.33783118600659984,
      0.33236644283309785,
      0.3269910736773927,
      0.32170363241963873,
      0.31650266243091807,
      0.31138671094964204,
      0.3063543377194779,
      0.30140412520084436,
      0.29653470401727516,
      0.2917446268931706,
      0.28703227526213865,
      0.28239611971386736,
      0.2778347354563176,
      0.2733467735135462,
      0.26893094201139534,
      0.2645859939227224,
      0.2603107187260318,
      0.25610393693128863,
      0.2519644966297806,
      0.24789127533857952,
      0.24388350506663747,
      0.23994058795162615,
      0.2360617557181468,
      0.23224613756722598,
      0.22849280322225382,
      0.22480078035605008,
      0.22116891958483825,
      0.2175960133213951,
      0.21408094647728398,
      0.21062267027041937,
      0.20722018498932465,
      0.2038725287606832,
      0.20057875401894693,
      0.19733785419057928,
      0.19414884178996444,
      0.19101078837687194,
      0.18792280947202789,
      0.18488405409590222,
      0.1818936978207629,
      0.17895093844574808,
      0.17605499261293758,
      0.17320509392508782,
      0.17040049146451022,
      0.16764044863943042,
      0.16492424230860733,
      0.16225116236726297,
      0.15962051122670887,
      0.1570316033647859,
      0.15448376508006545,
      0.15197633413110453,
      0.14950865959747422,
      0.1470801014789669,
      0.14469003052200385,
      0.14233782814633905,
      0.14002288603265128,
      0.13774460612762013,
      0.1355024002712484,
      0.13329569022875326,
      0.13112390727424925,
      0.1289864920830096,
      0.12688289455602564,
      0.12481257382526598,
      0.12277499781696401,
      0.12076964320383073,
      0.11879599543566834,
      0.11685354845416147,
      0.1149418044279798,
      0.11306027354583849,
      0.11120847419120698,
      0.10938593250121802,
      0.1075921823514747,
      0.10582676534049794,
      0.10408923051341847,
      0.10237913420560223,
      0.1006960399997714,
      0.09903951849068969,
      0.0974091472647036,
      0.09580451085153174,
      0.09422520041996943,
      0.09267081376974487,
      0.09114095527595331,
      0.08963523565908586,
      0.08815327189168758,
      0.08669468717070047,
      0.08525911068286816,
      0.08384617767100076,
      0.08245552917759875,
      0.0810868121082273,
      0.0797396789404306,
      0.07841378781477076,
      0.07710880237237772,
      0.0758243916633626,
      0.07456022992794803,
      0.07331599665108995,
      0.07209137650213282,
      0.07088605919762617,
      0.06969973937641862,
      0.06853211663242886,
      0.06738289529831826,
      0.06625178441177478,
      0.0651384976227554,
      0.06404275332106635,
      0.06296427427260246,
      0.061902787551571484,
      0.06085802471762954,
      0.05982972164703318,
      0.05881761832875991,
      0.05782145887332493,
      0.056840991523808435,
      0.05587596854914439,
      0.054926146222259525,
      0.053991284469548664,
      0.05307114713840526,
      0.05216550179594367,
      0.05127411986636271,
      0.05039677628632214,
      0.04953324950446041,
      0.0486833216151686,
      0.047846778022350635,
      0.04702340759950231,
      0.04621300250637983,
      0.04541535842544234,
      0.04463027400360589,
      0.04385755120256339,
      0.04309699510778436,
      0.04234841390557348,
      0.04161161877648635,
      0.04088642387635869,
      0.04017264638932377,
      0.03947010641083331,
      0.038778626749939385,
      0.03809803305666495,
      0.03742815382639214,
      0.03676882016116918,
      0.0361198659543587,
      0.035481127589497514,
      0.03485244417723607,
      0.03423365723942554,
      0.033624610841619704,
      0.033025151442531195,
      0.03243512794354139,
      0.03185439181163625,
      0.03128279684267887,
      0.03072019897878519,
      0.03016645653449339,
      0.02962142996754133,
      0.029084982001818017,
      0.02855697750424839,
      0.028037283484770196,
      0.027525769168069574,
      0.02702230563483865,
      0.026526766068626337,
      0.026039025781369834,
      0.02555896180840925,
      0.025086453375562017,
      0.024621381515465324,
      0.024163629034852196,
      0.02371308075568894,
      0.023269623191533494,
      0.022833144822399665,
      0.02240353579162791,
      0.021980687851392042,
      0.02156449461943329,
      0.02115485129608335,
      0.02075165482659772,
      0.020354803554566717,
      0.01996419763191007,
      0.019579738761209255,
      0.019201330211554783,
      0.018828876732242976,
      0.018462284510176282,
      0.018101461368784707,
      0.017746316457654496,
      0.01739676032256545,
      0.01705270509589793,
      0.016714064190251295,
      0.01638075239803052,
      0.016052685831163753,
      0.015729781878354325,
      0.015411959243973743,
      0.015099138030149156,
      0.014791239506161895,
      0.014488186245060828,
      0.014189901896326266,
      0.01389631140212551,
      0.01360734097620355,
      0.013322917884603776,
      0.013042970478562899,
      0.0127674283078634,
      0.012496222111769947,
      0.012229283585481898,
      0.011966545608625827,
      0.011707942070825109,
      0.011453407905066661,
      0.011202879017092333,
      0.010956292415442034,
      0.010713586002610116,
      0.010474698814856194,
      0.010239570649630086,
      0.01000814235727043,
      0.009780355882559238,
      0.009556153795036966,
      0.009335479674471835,
      0.00911827797861592,
      0.008904494041471448,
      0.008694074024249534,
      0.008486965092118066,
      0.008283115143240993,
      0.008082472922503746,
      0.007884987998488514,
      0.0076906105399794,
      0.00749929172499206,
      0.007310983383464009,
      0.00712563808202787,
      0.006943209332177111,
      0.006763651229688394,
      0.00658691852262214,
      0.006412966688018843,
      0.006241752094577209,
      0.006073231627573046,
      0.00590736288247729,
      0.005744104125559191,
      0.0055834143656001076,
      0.005425253103787316,
      0.005269580537511589,
      0.0051163574869091686,
      0.004965545444293155,
      0.004817106499661507,
      0.0046710032617646585,
      0.004527199023091848,
      0.0043856576284572795,
      0.004246343434932717,
      0.004109221324424945,
      0.00397425678229768,
      0.0038414158890161055,
      0.0037106653270869558,
      0.0035819721736992925,
      0.0034553040389223395,
      0.0033306290974341674,
      0.003207915950897768,
      0.0030871337274327028,
      0.002968252049375614,
      0.002851241009460285,
      0.002736071193449848,
      0.0026227135835760053,
      0.002511139718466597,
      0.002401321447515016,
      0.0022932311067240525,
      0.002186841632938898,
      0.002082126215628021,
      0.001979058528916439,
      0.0018776126472048048,
      0.0017777629944520897,
      0.0016794844980702044,
      0.0015827524586940992,
      0.0014875425360134189,
      0.001393830755053178,
      0.0013015935390696847,
      0.0012108076488977746,
      0.0011214502953652377,
      0.0010334990369159122,
      0.0009469317234471646,
      0.0008617266256700948,
      0.0007778622033651626,
      0.0006953173644234154,
      0.0006140714074283417,
      0.0005341039149729856,
      0.00045539473077048104,
      0.00037792410942565264,
      0.00030167243545782465,
      0.00022662060440329978,
      0.00015274975671352505,
      8.004128653377392e-05,
      8.476953283659657e-06,
      -6.196136198895092e-05,
      -0.0001312913713467923,
      -0.00019953048766288686,
      -0.00026669583575347495,
      -0.0003328043386764196,
      -0.00039787263166992824,
      -0.00046191700634100726,
      -0.0005249536846614072,
      -0.0005869985137701274,
      -0.0006480670089936347,
      -0.000708174548419761,
      -0.0007673362424092542,
      -0.0008255669737574644,
      -0.000882881418130455,
      -0.0009392940124636917,
      -0.0009948189354138676,
      -0.0010494701374953298,
      -0.001103261434017782,
      -0.0011562063558335101,
      -0.0012083182216813143,
      -0.0012596101265677183,
      -0.001310094942366274,
      -0.0013597854003383945,
      -0.0014086939755707567,
      -0.0014568329868623994,
      -0.001504214505078443,
      -0.0015508505343083232,
      -0.0015967526771578661,
      -0.0016419325939179196,
      -0.0016864015965208717,
      -0.0017301708648982386,
      -0.0017732514588617672,
      -0.0018156541772185973,
      -0.0018573896191792978,
      -0.0018984682768651228,
      -0.0019389004429430565,
      -0.0019786963909519187,
      -0.002017866282025273,
      -0.0020564198613670054,
      -0.0020943667063958436,
      -0.002131716486932217,
      -0.0021684785578639765,
      -0.0022046621486840625,
      -0.0022402764632827163,
      -0.0022753303089146594,
      -0.002309832557077647,
      -0.0023437918727460807,
      -0.0023772167741251426,
      -0.00241011570411783
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334942465697187,
      10.094282411783169,
      9.847657376545374,
      9.597809968426217,
      9.347136272323127,
      9.097712378316318,
      8.851266361532259,
      8.609166037308587,
      8.372422092587668,
      8.141707724484656,
      7.9173857237828225,
      7.699550664423033,
      7.4880786435812325,
      7.282678639278811,
      7.082942059848838,
      6.8883887894026765,
      6.698505491688058,
      6.512777382412419,
      6.3307148785474325,
      6.151870347401681,
      5.975850469393767,
      5.802315446692153,
      5.630992873080736,
      5.461693236088046,
      5.294305550803548,
      5.128795861091244,
      4.965201307623962,
      4.8036331925857425,
      4.6442805596045655,
      4.487429039705101,
      4.333413929371392,
      4.182595503814279,
      4.03535452549822,
      3.892083550677606,
      3.753166725406453,
      3.618957192591905,
      3.4897669614919877,
      3.3658590975722307,
      3.2474423471462694,
      3.134668234919441,
      3.027626974475778,
      2.926335433554691,
      2.8307401559848926,
      2.7407043123185306,
      2.656030113226085,
      2.576484194232202,
      2.5018193375240383,
      2.431778870205554,
      2.366097110708577,
      2.3044968573368676,
      2.2466775621694746,
      2.1922738343807557,
      2.1409153289792076,
      2.092257580032084,
      2.0459758976361777,
      2.001770579000788,
      1.9593971405036652,
      1.9186545725561466,
      1.879375320886006,
      1.8414259036032479,
      1.8046953213292323,
      1.7690851592018677,
      1.7345116947858723,
      1.700906664885957,
      1.6682130035276348,
      1.6363818805406622,
      1.6053706275551325,
      1.57514128136803,
      1.5456595520523615,
      1.516894087495696,
      1.4888159428746373,
      1.461397936404271,
      1.4346131106460263,
      1.4084360535142597,
      1.3828445037161088,
      1.357820957978163,
      1.3333488257583843,
      1.3094136521175952,
      1.2860017641843573,
      1.2630987774551061,
      1.2406900820705051,
      1.2187611447290578,
      1.1972976957861698,
      1.1762858408341068,
      1.1557121240362462,
      1.1355638757891007,
      1.1158299113153956,
      1.0964994597655626,
      1.077562279298486,
      1.059008152648679,
      1.0408269092886318,
      1.0230085458689664,
      1.0055432988203743,
      0.9884216857801027,
      0.9716345260493495,
      0.955172948723054,
      0.9390283923181634,
      0.9231925998549635,
      0.9076576098136457,
      0.8924157466233484,
      0.8774596099017341,
      0.862782063022442,
      0.8483762217250217,
      0.8342354430159148,
      0.8203533150032835,
      0.8067236458591733,
      0.7933404545701573,
      0.7801979617542818,
      0.7672905801392842,
      0.7546129061955024,
      0.7421597122239033,
      0.7299259389839107,
      0.7179067632498027,
      0.7060979191390452,
      0.6944953043490901,
      0.6830947661715313,
      0.671892164140817,
      0.6608834080767071,
      0.650064481090793,
      0.6394314525918159,
      0.6289804854063132,
      0.6187078081722162,
      0.6086097008227912,
      0.5986825617684273,
      0.5889229065889001,
      0.5793273573079348,
      0.5698926350227361,
      0.5606155533122722,
      0.5514930132588259,
      0.5425219991364142,
      0.5336995748391241,
      0.5250228805115166,
      0.5164891294519504,
      0.5080956056396144,
      0.4998396608880632,
      0.49171871220191943,
      0.4837302397847203,
      0.4758717849787602,
      0.46814142123061614,
      0.4605377119594312,
      0.453058973780726,
      0.4457033249216985,
      0.4384687751662004,
      0.43135328218405433,
      0.4243547877836102,
      0.4174712399485131,
      0.41070060705803435,
      0.40404088618606393,
      0.39749010801384144,
      0.391046370608168,
      0.38470805491123855,
      0.37847361942772356,
      0.3723414320474856,
      0.36630981688912995,
      0.360377083430135,
      0.35454154466733495,
      0.34880152823437216,
      0.34315538323526307,
      0.3376014991403294,
      0.33213841067224,
      0.3267647003837483,
      0.32147891876401813,
      0.3162796068975442,
      0.3111653103589319,
      0.30613458790546816,
      0.30118602222934143,
      0.29631824469115514,
      0.29152981015999585,
      0.28681909965886193,
      0.28218458203039665,
      0.27762483130979665,
      0.27313849787881495,
      0.2687242892887791,
      0.26438095800187306,
      0.2601072932495257,
      0.2559021152885186,
      0.251764271960865,
      0.2476926481524435,
      0.24368648585789862,
      0.23974518030275635,
      0.23586795884486841,
      0.23205394783842034,
      0.22830221509543763,
      0.22461179723515753,
      0.2209816359261281,
      0.21741051920175042,
      0.2138972962994926,
      0.2104408947788492,
      0.20704029941647537,
      0.2036945382802201,
      0.20040265507727703,
      0.19716363586447136,
      0.19397649206685486,
      0.1908402947672491,
      0.18775415905964735,
      0.18471723356007977,
      0.18172869373647685,
      0.17878773723855543,
      0.17589358075431447,
      0.17304545784727562,
      0.1702426174809445,
      0.16748432300999322,
      0.16476985140620667,
      0.16209849267198376,
      0.1594695490780534,
      0.15688233519646833,
      0.1543361774063144,
      0.15183041337352085,
      0.14936439214664637,
      0.14693747386965414,
      0.14454902930341412,
      0.1421984398407061,
      0.13988509736032223,
      0.1376084038383411,
      0.13536777107678777,
      0.13316262083041672,
      0.13099238439636354,
      0.12885650258225306,
      0.12675442534648662,
      0.12468561184191869,
      0.1226495301373303,
      0.12064565703672879,
      0.11867347784918793,
      0.11673248648450878,
      0.11482218524504127,
      0.11294208443454648,
      0.11109170239959505,
      0.10927056538719988,
      0.10747820738947635,
      0.10571417000775557,
      0.10397800232217287,
      0.10226926074188228,
      0.10058750878386302,
      0.09893231719987906,
      0.09730326372088867,
      0.0956999329139708,
      0.09412191603064832,
      0.09256881092895923,
      0.09104022198612294,
      0.0895357600465309,
      0.0880550420869299,
      0.0865976912906463,
      0.08516333703525446,
      0.08375161452040496,
      0.08236216496632351,
      0.08099463534682719,
      0.07964867825112867,
      0.07832395184457847,
      0.07702011972551465,
      0.07573685102728012,
      0.0744738201487657,
      0.07323070675557078,
      0.07200719555151205,
      0.07080297630074173,
      0.06961774366465101,
      0.06845119716459153,
      0.06730304136929774,
      0.06617298539754088,
      0.06506074298160358,
      0.06396603247412991,
      0.06288857673230745,
      0.061828103050455815,
      0.06078434300059231,
      0.05975703249589294,
      0.05874591164111165,
      0.05775072458879117,
      0.05677121971302482,
      0.05580714935036513,
      0.0548582697621221,
      0.05392434097793672,
      0.05300512692375876,
      0.052100395351271485,
      0.05120991761955018,
      0.050333468760565464,
      0.049470827313643606,
      0.048621775338586234,
      0.04778609841020539,
      0.04696358554666515,
      0.0461540289441662,
      0.045357224226215534,
      0.0445729703366888,
      0.04380106924563465,
      0.043041326057306775,
      0.042293549076373595,
      0.041557549615772744,
      0.040833141838387654,
      0.040120142927662354,
      0.03941837311393329,
      0.03872765532124312,
      0.038047815173987566,
      0.0373786812562115,
      0.03672008480920158,
      0.03607185972913655,
      0.035433842520523715,
      0.034805872282208966,
      0.034187790563042754,
      0.03357944162176352,
      0.032980672073726264,
      0.03239133095392635,
      0.03181126968731364,
      0.031240342049514487,
      0.03067840406020788,
      0.03012531407598782,
      0.02958093261231289,
      0.029045122530170293,
      0.02851774879910314,
      0.027998678529302327,
      0.02748778091023214,
      0.02698492714448712,
      0.026489990535692086,
      0.02600284626019339,
      0.02552337167433741,
      0.02505144594893083,
      0.02458695021373303,
      0.024129767410437635,
      0.023679782330767354,
      0.023236881566488253,
      0.02280095351072338,
      0.022371888372783165,
      0.021949578079084736,
      0.02153391626365527,
      0.021124798176047517,
      0.0207221207674602,
      0.020325782649519106,
      0.019935684021765192,
      0.019551726617939264,
      0.019173813740923928,
      0.018801850214694008,
      0.01843574227853477,
      0.018075397709603896,
      0.01772072576689907,
      0.01737163713468202,
      0.017028043947775726,
      0.01668985969529997,
      0.01635699915520261,
      0.016029378537243993,
      0.015706915313671875,
      0.015389528283674184,
      0.015077137522295312,
      0.014769664327870658,
      0.014467031358829143,
      0.01416916240668027,
      0.013875982351732428,
      0.013587417307538006,
      0.013303394687244655,
      0.013023843059059523,
      0.01274869199304483,
      0.01247787224331055,
      0.01221131555252323,
      0.011948954816812124,
      0.011690723994384956,
      0.01143655808813376,
      0.011186393036988589,
      0.010940165905200033,
      0.010697814722159455,
      0.010459278481012196,
      0.010224497040052453,
      0.009993411217527807,
      0.009765962992075225,
      0.009542095071519091,
      0.009321751113356595,
      0.009104875592745552,
      0.008891413991885283,
      0.008681312566852891,
      0.00847451827043074,
      0.008270979129174068,
      0.008070643835700908,
      0.00787346203122012,
      0.007679384088526964,
      0.007488361031951775,
      0.007300344777511144,
      0.007115288014285087,
      0.006933144203327612,
      0.006753867560253006,
      0.00657741288209023,
      0.006403735687915969,
      0.006232792406723103,
      0.0060645400283879216,
      0.005898936093913124,
      0.005735938885091982,
      0.005575507279738131,
      0.0054176009847029674,
      0.005262180301440643,
      0.005109206046494592,
      0.004958639677574627,
      0.004810443403168591,
      0.004664579805123866,
      0.004521012124355932,
      0.004379704326555379,
      0.0042406208333531795,
      0.004103726592839955,
      0.003968987119815854,
      0.003836368519612177,
      0.0037058374631901278,
      0.003577361075378069,
      0.0034509069011497413,
      0.003326443153735751,
      0.0032039386087714733,
      0.003083362386314679,
      0.002964684166692905,
      0.002847873982190525,
      0.002732902450141858,
      0.002619740542569629,
      0.002508359885693009,
      0.002398732470439662,
      0.0022908306825006833,
      0.0021846273845846733,
      0.002080095867457664,
      0.001977209674676137,
      0.001875942938067592,
      0.0017762702060257396,
      0.0016781664327335855,
      0.0015816068032051722,
      0.0014865670497675447,
      0.0013930233756730046,
      0.0013009521390204648,
      0.0012103300970455497,
      0.0011211344995782947,
      0.0010333428912709993,
      0.0009469331508820618,
      0.0008618835570234732,
      0.0007781726838328438,
      0.0006957795076862941,
      0.0006146832928724068,
      0.000534863573807208,
      0.00045630025907253326,
      0.00037897353355348514,
      0.00030286393323855756,
      0.0002279523643102305,
      0.00015421998356051665,
      8.164813716655135e-05,
      1.0218656524354158e-05,
      -6.00864676396913e-05,
      -0.00012928493969897973,
      -0.00019739427321635626,
      -0.00026443155427154487,
      -0.0003304135911463413,
      -0.0003953569932182346,
      -0.0004592781788232504,
      -0.0005221931598242414,
      -0.00058411776990212,
      -0.000645067694946795,
      -0.0007050582673249217,
      -0.0007641045579335849,
      -0.0008222213909649553,
      -0.0008794234656046566,
      -0.0009357251465430915,
      -0.0009911406731421468,
      -0.001045683986346738,
      -0.0010993687196788353,
      -0.0011522083864023843,
      -0.0012042162545204409,
      -0.0012554055514436121,
      -0.0013057891342919566,
      -0.0013553795912402014,
      -0.0014041895264003113,
      -0.001452231144794193,
      -0.001499516561245059,
      -0.0015460577078679233,
      -0.0015918662536503628,
      -0.0016369536694281193,
      -0.0016813312793628923,
      -0.001725010362565618,
      -0.0017680019174013673,
      -0.0018103168129752806,
      -0.001851965596305716,
      -0.001892958845532662,
      -0.0019333067661301316,
      -0.0019730195680368132,
      -0.002012107384971789,
      -0.002050579926093907,
      -0.002088446832295913,
      -0.0021257177203973087,
      -0.0021624019663971897,
      -0.002198508710522202,
      -0.0022340470393888852,
      -0.0022690260089827914,
      -0.002303454476576695,
      -0.0023373411102207853,
      -0.0023706943335124633,
      -0.002403522556122444
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334939142004332,
      10.094270711987148,
      9.847631416088543,
      9.597765149926957,
      9.347069345702359,
      9.097621174603205,
      8.851149548875087,
      8.609022905908278,
      8.372252468329958,
      8.141511842974365,
      7.91716394962908,
      7.699303404278849,
      7.487806289763197,
      7.282381541396328,
      7.082620508243049,
      6.888043019655472,
      6.698135733608559,
      6.512383893891993,
      6.330297993733523,
      6.151430550387512,
      5.975388441639856,
      5.801832137779784,
      5.630489443366001,
      5.461171069073649,
      5.293766317342781,
      5.128241452325514,
      4.96463371197036,
      4.803054690223084,
      4.643694086430021,
      4.486838092198462,
      4.332821986046854,
      4.182006048281729,
      4.034771075448612,
      3.8915096201574984,
      3.752605583852738,
      3.618411814996528,
      3.4892399799181244,
      3.36535276577693,
      3.2469585183239533,
      3.134208352088559,
      3.027191998868563,
      2.9259257513470165,
      2.8303556430901415,
      2.740344262876429,
      2.6556931903044587,
      2.5761686757153517,
      2.501523397823846,
      2.431500626901811,
      2.3658345556226257,
      2.304247905621135,
      2.246439952982419,
      2.192044986022987,
      2.1406929926549045,
      2.092039722696407,
      2.04576064973279,
      2.0015562776229476,
      1.9591824716183468,
      1.918438561890321,
      1.8791572741871005,
      1.8412053284791585,
      1.8044718421065808,
      1.7688584676212749,
      1.7342816015942193,
      1.7006730637773073,
      1.6679758462761254,
      1.6361411589108354,
      1.6051263619751033,
      1.5748935112001166,
      1.545408329356085,
      1.5166394724590881,
      1.488558001425265,
      1.4611367728585396,
      1.4343488534199436,
      1.4081688116963,
      1.382574537422023,
      1.3575485309971476,
      1.3330742382540364,
      1.3091373015051362,
      1.2857239262300477,
      1.262819649143301,
      1.2404098077063745,
      1.2184798338323926,
      1.197015434915443,
      1.176002701429132,
      1.1554281674513276,
      1.135279176733316,
      1.1155445406195559,
      1.0962134878057408,
      1.0772757697037794,
      1.0587211605795577,
      1.0405394839217268,
      1.022720732258031,
      1.0052551391855653,
      0.9881332200233717,
      0.9713457923612945,
      0.9548839843319521,
      0.9387392338233433,
      0.9229032826868233,
      0.9073681690573366,
      0.8921262170708006,
      0.8771700256889926,
      0.8624924576643277,
      0.8480866282430883,
      0.8339458941078163,
      0.8200638426950152,
      0.806434282013276,
      0.7930512306729627,
      0.7799089084406937,
      0.7670017275219594,
      0.7543242841846647,
      0.7418713504070027,
      0.7296378662936376,
      0.717619079981427,
      0.7058108004614105,
      0.6942088692486266,
      0.6828090977391548,
      0.6716073222065088,
      0.6605994372422954,
      0.6497814158867508,
      0.6391493209436023,
      0.6286993112340028,
      0.6184276109168388,
      0.608330497954408,
      0.5984043696254616,
      0.5886457409024122,
      0.579051233232924,
      0.5696175672624435,
      0.560341556285204,
      0.5512201008510026,
      0.5422501847254743,
      0.5334288716160746,
      0.5247533011588124,
      0.5162206861709117,
      0.5078283100177344,
      0.49957352421642237,
      0.491453745327858,
      0.48346645333978827,
      0.4756091893969186,
      0.46788011265232704,
      0.46027778928251367,
      0.4528005010351458,
      0.44544634374958947,
      0.43821331248760736,
      0.43109935564555385,
      0.4241024089313821,
      0.4172204164593808,
      0.4104513439096464,
      0.4037931866351868,
      0.3972439739788794,
      0.3908018161403313,
      0.3844651106899792,
      0.37823230386385454,
      0.3721017557045809,
      0.36607178546999103,
      0.360140699342827,
      0.35430680804162895,
      0.34856843769811985,
      0.3429239364524228,
      0.3373716988994634,
      0.3319102666982287,
      0.3265382169038579,
      0.3212540963291332,
      0.31605644371485153,
      0.3109438033586792,
      0.30591473285936727,
      0.30096781541347173,
      0.2961016831377638,
      0.2913148928241982,
      0.2866058250545021,
      0.2819729469946188,
      0.27741483147640267,
      0.2729301280049261,
      0.2685175436015471,
      0.264175830427132,
      0.25990377737028353,
      0.25570020446558345,
      0.25156395940050613,
      0.24749393413010332,
      0.2434893807413572,
      0.23954968770482613,
      0.2356740779651793,
      0.23186167498331584,
      0.22811154470232678,
      0.22442272245588274,
      0.22079421283262327,
      0.2172248558255857,
      0.2137134582072585,
      0.2102589202336632,
      0.20686020868508398,
      0.20351633963988222,
      0.2002263469472541,
      0.19698920876938525,
      0.1938039349607228,
      0.19066959564932173,
      0.1875853052429194,
      0.18455021196179727,
      0.181563491026034,
      0.17862433993298815,
      0.17573197528671225,
      0.17288563060234088,
      0.17008455493782704,
      0.16732801157307636,
      0.1646152773427919,
      0.1619456421762338,
      0.15931840849301662,
      0.15673289088609735,
      0.1541884157032273,
      0.15168432073636032,
      0.14921995505604413,
      0.14679467873683621,
      0.14440786263864896,
      0.142058888192713,
      0.13974714729368404,
      0.1374720419355846,
      0.13523298416955618,
      0.1330293956648302,
      0.13086070767923452,
      0.12872636111607935,
      0.12662580598600848,
      0.12455850148886011,
      0.12252391564594116,
      0.12052152541147858,
      0.11855081622640067,
      0.11661128201239974,
      0.11470242502079285,
      0.11282375560640438,
      0.11097479219239788,
      0.10915506115985356,
      0.10736409653365656,
      0.10560143996090549,
      0.10386664052986527,
      0.10215925475326808,
      0.10047884625193342,
      0.09882498581863375,
      0.09719725127654028,
      0.09559522726674066,
      0.09401850498831388,
      0.09246668238723338,
      0.09093936392934335,
      0.08943616047218934,
      0.08795668912723241,
      0.08650057310542901,
      0.08506744195312342,
      0.08365693101170531,
      0.08226868147346253,
      0.08090234029582412,
      0.07955756009751244,
      0.0782339991801103,
      0.07693132125174429,
      0.07564919553248217,
      0.07438729651063207,
      0.0731453038550669,
      0.07192290226608442,
      0.07071978162490344,
      0.06953563670672876,
      0.06837016718836342,
      0.06722307756906874,
      0.06609407710861072,
      0.06498287958249375,
      0.06388920344185268,
      0.06281277164690885,
      0.06175331155552755,
      0.06071055484977001,
      0.05968423747886454,
      0.05867409957959382,
      0.05767988543767515,
      0.05670134349347837,
      0.0557382260669017,
      0.05479028953634889,
      0.05385729415062173,
      0.05293900383955216,
      0.05203518637260111,
      0.05114561322633876,
      0.050270059462681115,
      0.049408303760822565,
      0.048560128211176314,
      0.04772531847557317,
      0.04690366360135005,
      0.04609495601694616,
      0.04529899133977781,
      0.044515568479470774,
      0.04374448951492867,
      0.0429855596823033,
      0.04223858718678569,
      0.04150338353527862,
      0.04077976298089736,
      0.04006754293592957,
      0.039366543454837,
      0.0386765876567927,
      0.037997501271732875,
      0.03732911292529569,
      0.03667125391002727,
      0.036023758243606846,
      0.03538646249849727,
      0.034759205769057284,
      0.034141829778980094,
      0.03353417868328384,
      0.032936099325565085,
      0.03234744086922257,
      0.03176805462837731,
      0.031197794403535404,
      0.030636516323978815,
      0.03008407893485447,
      0.029540342803527988,
      0.029005170833624062,
      0.028478428053735287,
      0.027959981611580254,
      0.027449700763348395,
      0.02694745681455793,
      0.026453123042876527,
      0.02596657494043268,
      0.025487689790556867,
      0.02501634683027294,
      0.02455242712116687,
      0.02409581372047946,
      0.02364639159871522,
      0.023204047399245968,
      0.022768669535541002,
      0.022340148377721487,
      0.021918375810685845,
      0.0215032455073644,
      0.02109465287664223,
      0.020692494978153474,
      0.020296670375240456,
      0.01990707927849597,
      0.019523623606349905,
      0.019146206613725767,
      0.018774733130147533,
      0.018409109523856524,
      0.018049243646824246,
      0.017695044817222408,
      0.01734642385188232,
      0.017003292901551913,
      0.016665565437280924,
      0.016333156318432802,
      0.016005981656081945,
      0.015683959145917227,
      0.01536700757372509,
      0.015055047069697708,
      0.014747998998589118,
      0.014445786090649922,
      0.014148332151160334,
      0.013855562340797501,
      0.01356740288199858,
      0.013283781024048263,
      0.01300462535592634,
      0.012729865500645378,
      0.012459432284803418,
      0.012193257530579434,
      0.011931274201962239,
      0.011673416243674668,
      0.011419618678197657,
      0.011169817579938925,
      0.010923949977193873,
      0.0106819539803281,
      0.01044376861538707,
      0.010209333883907523,
      0.009978590673798178,
      0.00975148081369798,
      0.009527947169152711,
      0.009307933335869241,
      0.00909138395906164,
      0.008878244471685328,
      0.008668461147471102,
      0.008461981221078285,
      0.008258752674441072,
      0.00805872422369227,
      0.007861845461426261,
      0.0076680667604665225,
      0.0074773394165999554,
      0.007289615298074159,
      0.007104847134026939,
      0.006922988475269405,
      0.0067439934037503745,
      0.0065678168232464265,
      0.006394414396692612,
      0.006223742378512655,
      0.0060557578122272014,
      0.005890418323273448,
      0.0057276823601544475,
      0.00556750885221265,
      0.005409857450570609,
      0.00525468834404406,
      0.005101962478186893,
      0.004951641433459347,
      0.004803687344515896,
      0.004658062980674362,
      0.004514731676011744,
      0.00437365729363682,
      0.0042348043256017695,
      0.004098137810689591,
      0.003963623216303043,
      0.0038312267164590306,
      0.003700914861712697,
      0.0035726548995830046,
      0.0034464146077334023,
      0.0033221621167414377,
      0.003199866032837329,
      0.003079495569317579,
      0.0029610204703012766,
      0.002844410847120604,
      0.002729637392054154,
      0.00261667112956493,
      0.002505483627021215,
      0.002396046972070806,
      0.002288333593238029,
      0.002182316291508292,
      0.0020779682861769453,
      0.0019752633962033203,
      0.0018741756827392168,
      0.0017746797290893537,
      0.0016767504391638512,
      0.0015803631933685649,
      0.00148549361193864,
      0.0013921178410168178,
      0.0013002122871880605,
      0.0012097538493108565,
      0.0011207198024541297,
      0.0010330876385168247,
      0.0009468353979269347,
      0.0008619412779146033,
      0.0007783838778157641,
      0.000696142184881251,
      0.0006151954602368528,
      0.0005355233098727768,
      0.0004571056619187632,
      0.0003799227770745414,
      0.00030395517082413713,
      0.00022918372792793526,
      0.00015558967821099076,
      8.315451026668604e-05,
      1.1859866919469326e-05,
      -5.8312126118956567e-05,
      -0.00012737922956266914,
      -0.00019535884188154025,
      -0.0002622680231808207,
      -0.00032812370238316697,
      -0.000392942336195159,
      -0.0004567403175546884,
      -0.0005195336962174525,
      -0.0005813382546278975,
      -0.0006421696398488741,
      -0.0007020431768481336,
      -0.0007609739414932243,
      -0.0008189767941968909,
      -0.0008760663937953127,
      -0.0009322571087018733,
      -0.0009875630479526409,
      -0.001041998231135108,
      -0.0010955763251655954,
      -0.001148310831814126,
      -0.0012002149560988238,
      -0.0012513017661650043,
      -0.0013015840857209132,
      -0.0013510745316962184,
      -0.0013997856716691898,
      -0.001447729927221832,
      -0.0014949192852798843,
      -0.0015413655743443306,
      -0.001587080517202605,
      -0.0016320756243437084,
      -0.0016763622264724222,
      -0.0017199514807347935,
      -0.001762854395412771,
      -0.0018050818033299894,
      -0.0018466443342131044,
      -0.0018875523420029386,
      -0.0019278161618917964,
      -0.0019674459599909122,
      -0.0020064517539749678,
      -0.0020448433699857753,
      -0.002082630442983148,
      -0.002119822454352896,
      -0.0021564288903368977,
      -0.0021924589100641135,
      -0.0022279216169986066,
      -0.0022628258655960328,
      -0.0022971805251937078,
      -0.0023309942220949794,
      -0.0023642754817691457,
      -0.0023970326982889756
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334935804988588,
      10.094258967883036,
      9.847605365426329,
      9.597720184809317,
      9.34700220737777,
      9.097529684789883,
      8.851032369671785,
      8.608879326695398,
      8.37208237783813,
      8.141315466937147,
      7.916941645274079,
      7.6990555708176505,
      7.48753331302471,
      7.282083765924411,
      7.082298220334204,
      6.887696452232442,
      6.697765114432861,
      6.511989478571004,
      6.3298801055222045,
      6.150989665313212,
      5.974925241062286,
      5.801347573014948,
      5.629984676285164,
      5.460647483547285,
      5.29322558733861,
      5.127685473188445,
      4.9640644754237115,
      4.802474479734955,
      4.643105883568757,
      4.486245394036483,
      4.3322282741707525,
      4.181414809534335,
      4.034185831313994,
      3.8909338902292405,
      3.752042643503723,
      3.6178646437664024,
      3.4887112149201807,
      3.3648446650647563,
      3.2464729393281035,
      3.1337467416948774,
      3.0267553196853516,
      2.925514389745215,
      2.8299694754268137,
      2.7399825829339988,
      2.655354659415222,
      2.5758515708770013,
      2.5012258931781344,
      2.431220839050866,
      2.365570475469621,
      2.3039974465268833,
      2.2462008376784093,
      2.1918146238629337,
      2.1404691395028506,
      2.0918203499591943,
      2.0455438929155445,
      2.0013405029143705,
      1.958966377316954,
      1.9182211623496601,
      1.8789378673030195,
      1.8409834160797642,
      1.804247044649722,
      1.7686304739379686,
      1.7340502201869508,
      1.7004381868720184,
      1.667737424963463,
      1.6358991846568265,
      1.604880853928037,
      1.5746445079428928,
      1.545155882065229,
      1.5163836412575147,
      1.4882988520325868,
      1.4608744097546489,
      1.4340834046457722,
      1.407900386042336,
      1.3823033945339582,
      1.3572749346886084,
      1.3327984885001554,
      1.3088597962409119,
      1.2854449417941312,
      1.262539382489212,
      1.2401284033241504,
      1.2181974010877041,
      1.1967320603866083,
      1.1757184562449416,
      1.1551431126336975,
      1.1349933866402633,
      1.1152580868860642,
      1.0959264407368416,
      1.0769881928505467,
      1.0584331086649361,
      1.0402510056839607,
      1.0224318721610839,
      1.0049659389644496,
      0.9878437195574452,
      0.971056030232875,
      0.9545939978156077,
      0.9384490593238043,
      0.9226129559638533,
      0.907077725085589,
      0.891835690247086,
      0.8768794501826737,
      0.8622018671999722,
      0.8477960560779603,
      0.8336553726951976,
      0.8197734041517587,
      0.8061439580190269,
      0.7927610525135541,
      0.7796189068647654,
      0.7667119327154797,
      0.7540347258127481,
      0.7415820576726992,
      0.7293488679621104,
      0.717330527144319,
      0.7055228491571583,
      0.6939216268378241,
      0.6825226398632503,
      0.6713217037488154,
      0.6603146995840156,
      0.6494975914704322,
      0.6388664366323187,
      0.62841738961082,
      0.6181466707496345,
      0.6080505564221459,
      0.5981254431833538,
      0.5883678450689239,
      0.578774383257403,
      0.5693417776902092,
      0.5600668410996167,
      0.5509464737847454,
      0.5419776592335076,
      0.5331574603070712,
      0.5244830163376506,
      0.5159515400685556,
      0.5075603147860277,
      0.49930669125564264,
      0.4911880858274288,
      0.48320197807484505,
      0.47534592232807166,
      0.4676181558235437,
      0.46001723380630366,
      0.45254140595274434,
      0.4451887474756081,
      0.43795724010934467,
      0.43084482367867166,
      0.4238494281835039,
      0.41696899395376724,
      0.4102014841803913,
      0.4035448925258663,
      0.3969972473038632,
      0.390556670901312,
      0.3842215776732657,
      0.3779904014383534,
      0.3718614944980125,
      0.3658331711519559,
      0.35990373429292055,
      0.35407149242956004,
      0.3483347702470809,
      0.34269191488909306,
      0.33714132581370954,
      0.3316815517104176,
      0.3263111641542271,
      0.32102870651518955,
      0.31583271519565,
      0.3107217329042845,
      0.3056943162391402,
      0.30074904849956524,
      0.2958845628043686,
      0.2910994180879855,
      0.28639199437999413,
      0.2817607571225096,
      0.27720427798565617,
      0.27272120572815906,
      0.26831024688308286,
      0.2639701531360472,
      0.25969971306202655,
      0.2554977466174448,
      0.25136310123754796,
      0.2472946760403363,
      0.24329173285366407,
      0.23935365351184734,
      0.23547965653713987,
      0.231668862602292,
      0.22792033582262758,
      0.22423311021130335,
      0.22060620679242468,
      0.21703855332864835,
      0.2135289456052446,
      0.21007624923862067,
      0.20667940838691268,
      0.2033374242891751,
      0.20004931870795084,
      0.19681406043399474,
      0.19363065713529606,
      0.19049817735036528,
      0.18741573446234702,
      0.18438247612534164,
      0.1813975771051106,
      0.17846023455400237,
      0.17556966492728107,
      0.17272510167791047,
      0.1699257936646618,
      0.1671710041923884,
      0.1644600102297512,
      0.16179210173884184,
      0.15916658114053983,
      0.15658276288869039,
      0.15403997333667913,
      0.15153755032433586,
      0.1490748430568284,
      0.14665121169621956,
      0.14426602712359543,
      0.14191867075008582,
      0.1396085343576366,
      0.13733502007118786,
      0.1350975398837141,
      0.1328955156301789,
      0.13072837871038734,
      0.12859556996108737,
      0.1264965394867947,
      0.12443074643586585,
      0.12239765893768828,
      0.12039675403601488,
      0.11842751716657379,
      0.11648944227168319,
      0.11458203171247175,
      0.11270479594755348,
      0.11085725341531795,
      0.10903893041659925,
      0.10724936109951684,
      0.10548808729805743,
      0.10375465812855722,
      0.1020486301258672,
      0.10036956701592208,
      0.09871703970330013,
      0.0970906258820572,
      0.09548991024216551,
      0.09391448420982736,
      0.09236394576778635,
      0.09083789945778913,
      0.08933595619494172,
      0.087857733149254,
      0.08640285361988499,
      0.08497094709626454,
      0.08356164901655605,
      0.0821746006835662,
      0.08080944914435872,
      0.07946584722370581,
      0.07814345321520641,
      0.07684193089759603,
      0.07556094944950585,
      0.07430018339956812,
      0.07305931256086483,
      0.07183802172346379,
      0.07063600086760903,
      0.06945294481992399,
      0.06828855334092157,
      0.06714253108061886,
      0.06601458725969207,
      0.06490443581898589,
      0.06381179523963648,
      0.06273638856410046,
      0.061677943192714496,
      0.06063619089974701,
      0.05961086769990024,
      0.05860171377558643,
      0.05760847354332109,
      0.056630895424362435,
      0.05566873191325736,
      0.054721739467765346,
      0.05378967831468706,
      0.0528723125182979,
      0.05196940997383981,
      0.05108074218302064,
      0.050206084348990085,
      0.04934521516037122,
      0.04849791679524132,
      0.04766397504343907,
      0.04684317902912892,
      0.04603532106632514,
      0.04524019693101779,
      0.04445760563074513,
      0.04368734937133193,
      0.04292923345608814,
      0.042183066168018715,
      0.04144865902294501,
      0.04072582644016618,
      0.040014385809182235,
      0.039314157373562794,
      0.03862496413526636,
      0.037946632148193965,
      0.03727898993577442,
      0.036621868882283144,
      0.035975103087305185,
      0.035338529199464896,
      0.03471198637397852,
      0.0340953164534685,
      0.03348836380226118,
      0.0328909750873003,
      0.03230299945587174,
      0.03172428851269776,
      0.031154696103165725,
      0.03059407846783431,
      0.0300422941452853,
      0.029499203833015294,
      0.028964670447358967,
      0.028438559096782612,
      0.027920737000026386,
      0.027411073482283832,
      0.026909439858697107,
      0.026415709611937357,
      0.025929758145332518,
      0.0254514628110857,
      0.024980702926507205,
      0.02451735970270196,
      0.024061316231494025,
      0.02361245753684033,
      0.023170670277543114,
      0.02273584297790666,
      0.022307865966704185,
      0.021886631405981797,
      0.02147203284008348,
      0.021063965795115613,
      0.020662327363418012,
      0.020267016276252284,
      0.019877932729656725,
      0.01949497860420942,
      0.01911805736063029,
      0.01874707396064506,
      0.018381934761727715,
      0.01802254758277757,
      0.017668821870881618,
      0.017320668454849003,
      0.01697799944986215,
      0.016640728549496837,
      0.01630877064900611,
      0.015982041970003573,
      0.01566046024719835,
      0.015343944266063985,
      0.015032414250443658,
      0.014725791664374545,
      0.01442399923500715,
      0.0141269607258484,
      0.013834601248617505,
      0.013546847173165349,
      0.013263625921392552,
      0.01298486601333679,
      0.01271049721969286,
      0.01244045037515238,
      0.01217465741903837,
      0.011913051293648558,
      0.011655566012037658,
      0.01140213674908599,
      0.011152699555409267,
      0.010907191526395533,
      0.010665550803512242,
      0.010427716490626552,
      0.010193628561431666,
      0.009963227910256183,
      0.009736456476434851,
      0.009513257130900572,
      0.00929357351576418,
      0.009077350293895512,
      0.008864532963557764,
      0.008655067918173604,
      0.008448902331335583,
      0.008245984280330782,
      0.008046262676084662,
      0.00784968698620762,
      0.007656207761979259,
      0.007465776119801026,
      0.007278344026497951,
      0.007093864327087026,
      0.00691229059163849,
      0.006733576888233641,
      0.006557678162876004,
      0.006384550157870272,
      0.006214149282779178,
      0.006046432513163195,
      0.0058813575207887275,
      0.005718882711075752,
      0.005558967078920541,
      0.005401570302179375,
      0.005246652780582955,
      0.005094175461259547,
      0.004944099889049053,
      0.004796388278174143,
      0.004651003370264617,
      0.00450790850446213,
      0.0043670675751133065,
      0.004228445093864944,
      0.004092006069302185,
      0.003957716168652504,
      0.003825541423762857,
      0.0036954486070768866,
      0.0035674050244868263,
      0.00344137834258736,
      0.0033173367036085483,
      0.003195248880080599,
      0.00307508416494706,
      0.002956812257818651,
      0.0028404033558558413,
      0.0027258280614634238,
      0.0026130575091969977,
      0.002502063284212341,
      0.002392817374182548,
      0.0022852922058578975,
      0.0021794607275704425,
      0.0020752962648431725,
      0.0019727725556086045,
      0.0018718637172300396,
      0.0017725443164249117,
      0.0016747893458689384,
      0.001578574138718864,
      0.001483874456409123,
      0.0013906664123867086,
      0.0012989265883886806,
      0.0012086317832314287,
      0.0011197593164230229,
      0.0010322867481375125,
      0.0009461918993156176,
      0.0008614532035495016,
      0.0007780492531667529,
      0.0006959590400096675,
      0.0006151619173076109,
      0.0005356375123486222,
      0.0004573656909166051,
      0.0003803267899365107,
      0.0003045013176115784,
      0.00022987028426088433,
      0.00015641481577368315,
      8.411630228007901e-05,
      1.295659870247875e-05,
      -5.7082173940165934e-05,
      -0.00012601770481288335,
      -0.0001938674483759691,
      -0.0002606484128764648,
      -0.00032637753900056844,
      -0.0003910714291134698,
      -0.0004547464125752769,
      -0.0005174183806374688,
      -0.000579103249872675,
      -0.0006398164773036711,
      -0.0006995733247742391,
      -0.0007583887980652511,
      -0.0008162778457495411,
      -0.0008732550869123728,
      -0.0009293349005137921,
      -0.000984531278202507,
      -0.001038858318266088,
      -0.0010923295811580479,
      -0.0011449585118383178,
      -0.0011967584924172203,
      -0.0012477425701499685,
      -0.00129792364892868,
      -0.0013473143042822542,
      -0.0013959269538955613,
      -0.0014437738297651591,
      -0.0014908670518361318,
      -0.001537218484627355,
      -0.001582839866615185,
      -0.0016277426590326832,
      -0.0016719381481745221,
      -0.0017154375341560213,
      -0.0017582517906143775,
      -0.001800391688431284,
      -0.001841867825520913,
      -0.0018826906747107888,
      -0.0019228704721194704,
      -0.001962417327403691,
      -0.00200134126351667,
      -0.0020396520842318657,
      -0.0020773594189254087,
      -0.0021144728050081227,
      -0.0021510015726626383,
      -0.0021869550023055247,
      -0.0022223421702019246,
      -0.0022571719396274996,
      -0.0022914530974097193,
      -0.002325194210224963,
      -0.002358403830180121,
      -0.002391090362901875
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334932451090296,
      10.094247167276162,
      9.847579201709806,
      9.597675035771385,
      9.346934802023922,
      9.097437838006032,
      8.850914736926978,
      8.608735192641408,
      8.37191162938912,
      8.141118329257555,
      7.916718473732521,
      7.69880676447885,
      7.487259259219882,
      7.2817848090825015,
      7.0819746468501,
      6.887348494631861,
      6.697393000026554,
      6.511593464005853,
      6.32946051443257,
      6.150546976144974,
      5.97446013794624,
      5.800861007145605,
      5.629477811419823,
      5.4601217069595105,
      5.292682575332904,
      5.127127124093737,
      4.963492786783135,
      4.801891742920096,
      4.64251508780368,
      4.4856500480185995,
      4.331631871703486,
      4.180820849777437,
      4.033597847621128,
      3.8903554139388197,
      3.7514769608857597,
      3.6173147443834224,
      3.4881797448031806,
      3.3643338910819134,
      3.2459847255869625,
      3.133282540158773,
      3.0263160979254113,
      2.925100538151499,
      2.82958086352609,
      2.7396184983933862,
      2.6550137652821633,
      2.575532144912818,
      2.5009261089384895,
      2.4309388134391163,
      2.3653041988009593,
      2.303744831661699,
      2.245959602788118,
      2.1915821738383587,
      2.1402432287043425,
      2.091598947643949,
      2.0453251320189385,
      2.001122749507872,
      1.9587483285776115,
      1.9180018319052676,
      1.8787165525807619,
      1.8407596178697065,
      1.804020382629508,
      1.7684006349792871,
      1.7338170114206963,
      1.7002014999555688,
      1.6674972097574925,
      1.6356554321702566,
      1.6046335832786114,
      1.5743937571015514,
      1.5449017020414795,
      1.516126091189443,
      1.4880379966085893,
      1.4606103529444125,
      1.4338162745596874,
      1.4076302912122123,
      1.3820305951960434,
      1.3569996948325243,
      1.3325211082773065,
      1.3085806743808202,
      1.2851643551412084,
      1.2622575278148407,
      1.2398454244077763,
      1.217913407486398,
      1.1964471379977828,
      1.1754326760234033,
      1.1548565352779228,
      1.1347060861430238,
      1.1149701335124285,
      1.095637904659319,
      1.0766991378643935,
      1.0581435891019364,
      1.0399610696155213,
      1.0221415640780886,
      1.0046753005129796,
      0.9875527904669259,
      0.9707648489791696,
      0.9543026017668302,
      0.9381574848254729,
      0.9223212385671725,
      0.9067858998682989,
      0.8915437917181946,
      0.8765875121785176,
      0.861909922974258,
      0.8475041383824361,
      0.8333635140550144,
      0.8194816363689591,
      0.8058523123280256,
      0.7924695596763427,
      0.7793275973330231,
      0.7664208367848806,
      0.753743873183715,
      0.7412914774857178,
      0.7290585962242652,
      0.7170407184040135,
      0.7052336564385867,
      0.6936331552081801,
      0.6822349634130634,
      0.6710348763460615,
      0.6600287619252291,
      0.6492125757709649,
      0.6385823691464936,
      0.6281342927450355,
      0.6178645634770114,
      0.6077694559765796,
      0.5978453657477689,
      0.5880888059698068,
      0.5784963972763172,
      0.5690648592397415,
      0.5597910041108944,
      0.5506717316633121,
      0.5417040250866447,
      0.5328849472402798,
      0.5242116370579356,
      0.515681306709282,
      0.5072912388260613,
      0.49903878381193956,
      0.4909213578902167,
      0.4829364403807701,
      0.475081630291389,
      0.4673552250848598,
      0.45975573874194886,
      0.4522813947525837,
      0.44493025161808375,
      0.43770028018691526,
      0.4305894132222218,
      0.42359557605837966,
      0.41671670597153837,
      0.4099507643392854,
      0.4032957432736441,
      0.39674967009643775,
      0.3903106793161029,
      0.3839772022346109,
      0.37774766049121794,
      0.37162039865511654,
      0.3655937258992171,
      0.3596659418602618,
      0.35383535304914543,
      0.3481002826500566,
      0.34245907674288817,
      0.3369101395433812,
      0.3314520269838813,
      0.3260833050284158,
      0.3208025135626056,
      0.31560818673518687,
      0.31049886549635297,
      0.3054731055662758,
      0.30052949069845447,
      0.2956666548571588,
      0.2908831588872991,
      0.2861773822883398,
      0.2815477887748643,
      0.27699294902907395,
      0.27251151095792936,
      0.26810218050104284,
      0.2637637089661854,
      0.2594948846869293,
      0.25529452735916297,
      0.25116148430148527,
      0.24709466193007762,
      0.24309333188626508,
      0.23915686913569634,
      0.23528448780062833,
      0.23147530571127933,
      0.2277283850246134,
      0.22404275849266905,
      0.22041744636601387,
      0.21685144525683686,
      0.21334359565873973,
      0.20989272161043568,
      0.20649774023489956,
      0.20315763505108755,
      0.1998714140694332,
      0.19663803554087791,
      0.19345650405464995,
      0.19032588605455164,
      0.18724529353784078,
      0.1842138732462014,
      0.18123079946382112,
      0.1782952690478571,
      0.17540649806310074,
      0.17256371974156018,
      0.16976618293990375,
      0.167013151013462,
      0.16430390084270532,
      0.16163772239097984,
      0.15901391799714856,
      0.15643180224803402,
      0.15389070151399492,
      0.15138995367538693,
      0.1489289079245039,
      0.14650692444604685,
      0.14412337408299433,
      0.14177763840157048,
      0.13946910929687797,
      0.13719718886941845,
      0.13496128918518327,
      0.1327608320585576,
      0.13059524887633592,
      0.12846398048248203,
      0.12636647714819516,
      0.12430219805573164,
      0.12227061140103261,
      0.1202711941613565,
      0.11830343193496796,
      0.1163668187824131,
      0.11446085708827841,
      0.1125850573285901,
      0.11073893803563024,
      0.10892202554084635,
      0.1071338540866819,
      0.10537396546807036,
      0.1036419089276924,
      0.10193724098685314,
      0.1002595254978971,
      0.09860833335203854,
      0.09698324239539075,
      0.09538383736220525,
      0.09380970969134415,
      0.09226045746798091,
      0.09073568530474187,
      0.08923500411187421,
      0.08775803113131801,
      0.086304389951132,
      0.08487371010314458,
      0.08346562703135686,
      0.08207978200470928,
      0.08071582213305552,
      0.07937340030206866,
      0.07805217485522559,
      0.07675180970219456,
      0.07547197415785248,
      0.07421234277190847,
      0.07297259539679944,
      0.07175241702044113,
      0.07055149752193415,
      0.0693695318967485,
      0.06820622006149013,
      0.06706126665456519,
      0.06593438093337402,
      0.06482527682199861,
      0.06373367306834324,
      0.06265929274793398,
      0.06160186332433782,
      0.060561116627195294,
      0.05953678871908501,
      0.05852862002629387,
      0.05753635495778799,
      0.05655974197464838,
      0.05559853360476103,
      0.0546524863740452,
      0.05372136062866503,
      0.05280492046673189,
      0.05190293385934138,
      0.051015172458185515,
      0.05014141150653556,
      0.049281429804674017,
      0.048435009669899366,
      0.04760193686204331,
      0.046782000436008185,
      0.0459749929855871,
      0.045180710385051434,
      0.044398951673749985,
      0.043629519070782476,
      0.042872217943966485,
      0.04212685672410022,
      0.041393246958458835,
      0.04067120320091518,
      0.03996054284681377,
      0.03926108625886162,
      0.03857265649682115,
      0.03789507961767355,
      0.03722818433173941,
      0.03657180207332717,
      0.035925766931988054,
      0.03528991564174741,
      0.03466408752969203,
      0.03404812442047743,
      0.033441870674454234,
      0.03284517310178329,
      0.03225788103899358,
      0.031679846047094506,
      0.031110922120821283,
      0.030550965589125033,
      0.029999834948294637,
      0.02945739092012131,
      0.028923496511822834,
      0.028398016881547996,
      0.02788081937112156,
      0.02737177338821848,
      0.026870750385667504,
      0.02637762381681808,
      0.025892269168650506,
      0.025414563913691336,
      0.024944387450639992,
      0.024481621039600616,
      0.02402614781456622,
      0.023577852809779472,
      0.02313662278938526,
      0.02270234642789937,
      0.02227491402064338,
      0.02185421776041173,
      0.021440151429775685,
      0.02103261044345835,
      0.020631491947615783,
      0.020236694741231177,
      0.019848119223559037,
      0.019465667175605435,
      0.01908924215146701,
      0.018718749094176493,
      0.018354094510487872,
      0.01799518640970517,
      0.017641934178700188,
      0.01729424867838316,
      0.01695204211079213,
      0.016615228152160644,
      0.01628372193246285,
      0.015957439715585185,
      0.015636299073597107,
      0.015320219047148347,
      0.01500911987253511,
      0.014702923012663571,
      0.014401551154304906,
      0.014104928216746632,
      0.013812979416053379,
      0.013525631111724678,
      0.013242810842480435,
      0.012964447194657202,
      0.012690469846662888,
      0.012420809751112687,
      0.012155398902195445,
      0.011894170342545236,
      0.01163705810417038,
      0.011383997337740351,
      0.01113492417264841,
      0.010889775859416433,
      0.010648490449386358,
      0.010411007092506879,
      0.010177265778893298,
      0.009947207637566435,
      0.009720774565537932,
      0.009497909464319693,
      0.00927855614302635,
      0.009062659187052256,
      0.008850164166852822,
      0.008641017634221522,
      0.008435166759935019,
      0.00823255947001733,
      0.008033144724909336,
      0.00783687219808781,
      0.007643692384086907,
      0.00745355658876577,
      0.007266416706234187,
      0.0070822255582162616,
      0.006900936785239322,
      0.006722504537257855,
      0.006546883904677599,
      0.006374030493807735,
      0.006203900742620795,
      0.006036451730506554,
      0.005871641258031188,
      0.005709427681302395,
      0.005549770041105681,
      0.005392628080323904,
      0.005237962162278863,
      0.005085733356697006,
      0.0049359032871039415,
      0.004788434113807199,
      0.004643288607743872,
      0.0045004301319569165,
      0.0043598226373873766,
      0.0042214306933483796,
      0.004085219469214656,
      0.00395115458508668,
      0.003819202154820079,
      0.0036893288503188825,
      0.003561501859583349,
      0.00343568897449628,
      0.0033118585594496754,
      0.003189979414808333,
      0.0030700206478466857,
      0.0029519520031187295,
      0.0028357437183540537,
      0.002721366553837917,
      0.0026087916268112874,
      0.0024979905779802234,
      0.0023889354792022686,
      0.002281598844812323,
      0.0021759535235884656,
      0.0020719728085684275,
      0.001969630484814559,
      0.0018689007138497375,
      0.0017697580593137466,
      0.0016721776098977195,
      0.0015761346970239976,
      0.0014816050841803404,
      0.001388564967272964,
      0.0012969908557218185,
      0.0012068596328032206,
      0.0011181486496833878,
      0.0010308354134844731,
      0.0009448979508013378,
      0.0008603146069505255,
      0.0007770640817347452,
      0.000695125320524426,
      0.0006144776223505595,
      0.0005351006158647853,
      0.0004569743702344357,
      0.00038007921505265203,
      0.0003043957521843457,
      0.00022990488786845873,
      0.00015658770674884925,
      8.442567114576321e-05,
      1.3400764647276392e-05,
      -5.650502394154611e-05,
      -0.00012530938329598473,
      -0.00019302955184016322,
      -0.000259682614499212,
      -0.00032528546778222173,
      -0.00038985459996941776,
      -0.00045340632135027484,
      -0.0005159567263972046,
      -0.0005775216040777689,
      -0.0006381164047104036,
      -0.0006977563706134224,
      -0.0007564566211374041,
      -0.0008142319640967615,
      -0.0008710968266005027,
      -0.0009270657189744347,
      -0.0009821527507305643,
      -0.0010363717881379637,
      -0.0010897364893263722,
      -0.0011422603769529122,
      -0.0011939567387671698,
      -0.0012448385079479134,
      -0.0012949184983692262,
      -0.0013442093212468658,
      -0.001392723523852334,
      -0.0014404733588661719,
      -0.0014874707623833477,
      -0.0015337275853363594,
      -0.001579255531936777,
      -0.0016240661036699695,
      -0.001668170587344155,
      -0.0017115801566211849,
      -0.0017543057568850575,
      -0.0017963582054367272,
      -0.001837748023936891,
      -0.0018784856007925453,
      -0.001918581308109962,
      -0.001958045179889454,
      -0.001996887142340307,
      -0.0020351169889787695,
      -0.0020727444447391488,
      -0.0021097790578921043,
      -0.0021462301291586446,
      -0.0021821069075405757,
      -0.0022174183910469787,
      -0.00225217348929768,
      -0.0022863809885123355,
      -0.0023200494652544225,
      -0.002353187459946231,
      -0.0023858032687307565
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33492908376727,
      10.09423532169975,
      9.847552946569225,
      9.59762973670328,
      9.346867179153126,
      9.097345699574362,
      8.850796735575187,
      8.608590611852541,
      8.37174035552524,
      8.140920588643056,
      7.916494623365663,
      7.698557204225271,
      7.486984375528187,
      7.281484948267598,
      7.081650097439863,
      6.886999490717342,
      6.69701977120431,
      6.511196268356315,
      6.329039677306848,
      6.150102976581656,
      5.973993660132732,
      5.800373002957603,
      5.628969444793105,
      5.459594366766012,
      5.292137956192705,
      5.12656712531556,
      4.96291940707617,
      4.801307275901715,
      4.641922527898536,
      4.48505291035185,
      4.331033656063114,
      4.180225061393597,
      4.033008027517807,
      3.889775100856143,
      3.7509094483760568,
      3.6167630292135087,
      3.487646478955212,
      3.36382134618069,
      3.2454947699888583,
      3.132816629866969,
      3.0258752031344627,
      2.9246850496801935,
      2.829190604182131,
      2.739252719860117,
      2.654671142821115,
      2.575210966841367,
      2.500624557523927,
      2.4306550175633017,
      2.365036154321604,
      2.3034904559123173,
      2.2457166152154255,
      2.191347981885776,
      2.140015590870638,
      2.091375836835662,
      2.045104683474787,
      2.0009033341029805,
      1.9585286431643574,
      1.9177808871784598,
      1.8784936460886514,
      1.840534250357228,
      1.8037921731414421,
      1.768169269508686,
      1.7335822962396972,
      1.699963325231994,
      1.6672555244626661,
      1.635410226423367,
      1.60438487536727,
      1.5741415841332045,
      1.5446461145947843,
      1.5158671486665223,
      1.487775763698106,
      1.4603449326479774,
      1.4335477948387652,
      1.4073588596989297,
      1.3817564717033555,
      1.3567231440201972,
      1.3322424311519079,
      1.308300269041244,
      1.284882497491414,
      1.261974414347903,
      1.2395611993434814,
      1.2176281798678679,
      1.1961609940909086,
      1.1751456859024703,
      1.1545687593474163,
      1.1344175981831988,
      1.1146810040182984,
      1.0953482036148243,
      1.076408928818382,
      1.0578529268992498,
      1.0396700030452861,
      1.0218501375417457,
      1.0043835552207654,
      0.987260765775755,
      0.97047258260106,
      0.9540101303737127,
      0.937864844186526,
      0.9220284642368013,
      0.9064930266443948,
      0.8912508538036611,
      0.8762945433332088,
      0.8616169564035732,
      0.8472112068205748,
      0.8330706498892435,
      0.8191888716029161,
      0.8055596784852336,
      0.7921770876437325,
      0.7790353177040242,
      0.7661287795573126,
      0.7534520678816445,
      0.7409999532715905,
      0.728767446090009,
      0.716750122395128,
      0.7049437365945149,
      0.6933439967857244,
      0.6819466277407639,
      0.6707474090499806,
      0.6597421983032563,
      0.6489269442722236,
      0.6382976937798823,
      0.6278505946771394,
      0.6175818604514881,
      0.6074877641321269,
      0.5975647006597367,
      0.5878091829705607,
      0.5782178310040976,
      0.5687873642978075,
      0.5595145946256181,
      0.5503964211900949,
      0.5414298266859798,
      0.5326118735451439,
      0.5239397005375325,
      0.5154105194936025,
      0.5070216124214596,
      0.4987703296236144,
      0.4906540869748816,
      0.48267036337159647,
      0.47481680243063934,
      0.46709176202700453,
      0.45949371470697065,
      0.45202085811272874,
      0.4446712337629488,
      0.4374428016798583,
      0.4303334874720316,
      0.42334121186772045,
      0.41646390930151506,
      0.4096995390163049,
      0.40304609183702206,
      0.3965015939501758,
      0.3900641938534827,
      0.3837323372153939,
      0.3775044338406103,
      0.371378820730952,
      0.36535380212192087,
      0.3594276744566809,
      0.35359874183994217,
      0.3478653260284493,
      0.34222577233990104,
      0.336678489985671,
      0.3312220417181049,
      0.32585498805207014,
      0.3205758653083792,
      0.31538320546701026,
      0.3102755481606675,
      0.3052514478850417,
      0.30030948949426006,
      0.29544830674161104,
      0.2906664625723929,
      0.2859623358773576,
      0.28133438876795364,
      0.27678119078248004,
      0.272301389035414,
      0.26789368908383604,
      0.2635568418271081,
      0.2592896352757553,
      0.25509088896110726,
      0.25095944995174274,
      0.24689423196834845,
      0.24289451661097577,
      0.23895967202033985,
      0.23508890800066723,
      0.23128133936757123,
      0.22753602644008328,
      0.22385200075343975,
      0.22022828182935775,
      0.21666388762617048,
      0.21315774435296603,
      0.20970866040461147,
      0.2063155192198616,
      0.2029772820201823,
      0.19969294012138272,
      0.1964614394320794,
      0.19328178005583407,
      0.1901530255030631,
      0.18707428594576206,
      0.18404470690457034,
      0.1810634617742427,
      0.17812974695150452,
      0.17524277826357343,
      0.1724017888052481,
      0.16960602725501397,
      0.1668547567922874,
      0.16414725440243477,
      0.1614828098549038,
      0.1588607255930865,
      0.15628031623066901,
      0.15374090816994407,
      0.15124183927653703,
      0.14878245873806129,
      0.14636212680756416,
      0.14398021445024323,
      0.1416361031474939,
      0.13932918487069249,
      0.13705886179219048,
      0.13482454589264567,
      0.13262565900393655,
      0.13046163270270894,
      0.12833190789014756,
      0.1262359348957262,
      0.12417317299256814,
      0.1221430903981522,
      0.1201451641437266,
      0.11817887974201766,
      0.11624373129524364,
      0.11433922123556954,
      0.11246486016880898,
      0.11062016666788022,
      0.1088046672447235,
      0.10701789609329457,
      0.10525939504877152,
      0.1035287135467453,
      0.10182540811066512,
      0.10014904259512404,
      0.09849918796979665,
      0.0968754221019633,
      0.09527732984231711,
      0.09370450268924911,
      0.09215653881923523,
      0.0906330428476719,
      0.08913362585336387,
      0.08765790521575434,
      0.08620550438795943,
      0.08477605290433274,
      0.08336918637400256,
      0.0819845462413879,
      0.08062177968217736,
      0.07928053949033853,
      0.07796048425596269,
      0.07666127799112281,
      0.07538259002007365,
      0.07412409495812426,
      0.07288547276405567,
      0.07166640838528515,
      0.07046659185074636,
      0.06928571828324563,
      0.06812348758706713,
      0.0669796043852534,
      0.06585377818062153,
      0.06474572308327736,
      0.06365515776142885,
      0.06258180528531906,
      0.06152539317480007,
      0.060485653393400375,
      0.05946232216164853,
      0.05845513988471202,
      0.05746385108296998,
      0.056488204360374564,
      0.05552795228567096,
      0.05458285148290737,
      0.05365266241896375,
      0.05273714928501398,
      0.05183607999352609,
      0.05094922622439047,
      0.05007636330394647,
      0.049217270205965814,
      0.04837172928623315,
      0.04753952636728876,
      0.04672045064225531,
      0.045914294791690624,
      0.0451208547573677,
      0.044339929605173654,
      0.04357132165695314,
      0.04281483635520727,
      0.04207028228273152,
      0.04133747093332165,
      0.040616216827642715,
      0.03990633759296998,
      0.03920765369204263,
      0.03851998822979145,
      0.03784316726631096,
      0.037177019542945826,
      0.03652137671201638,
      0.03587607295067906,
      0.035240944947702864,
      0.03461583215384305,
      0.03400057649266093,
      0.03339502231659208,
      0.0327990166007229,
      0.032212408701953056,
      0.03163505030534176,
      0.03106679541745086,
      0.030507500406786948,
      0.029957023888157793,
      0.029415226755671983,
      0.028881972046195983,
      0.028357124944774156,
      0.027840552824134557,
      0.027332125120358774,
      0.026831713344259465,
      0.026339191157616706,
      0.025854434063714037,
      0.025377319607555786,
      0.02490772722744596,
      0.024445538241448482,
      0.02399063584092604,
      0.02354290504708257,
      0.02310223278877879,
      0.022668507727354365,
      0.02224162031692397,
      0.021821462718927775,
      0.021407928889023795,
      0.021000914314402683,
      0.020600316170721625,
      0.020206033351907883,
      0.019817966226958375,
      0.019436016612338354,
      0.019060088163358496,
      0.01869008593299864,
      0.0183259164772518,
      0.01796748785154062,
      0.017614709434844895,
      0.017267492179017713,
      0.01692574839962742,
      0.016589391858705782,
      0.016258337579174362,
      0.015932502001873985,
      0.015611802772365409,
      0.015296158806014964,
      0.014985490517498994,
      0.01467971947674018,
      0.014378768406882597,
      0.01408256130746267,
      0.013791023468095728,
      0.013504081283665198,
      0.01322166222659446,
      0.012943694988538723,
      0.012670109397930947,
      0.01240083636749703,
      0.012135807864864973,
      0.011874957008498799,
      0.01161821800897608,
      0.011365525993470335,
      0.011116817088446373,
      0.010872028569925654,
      0.010631098611106487,
      0.010393966332307136,
      0.010160571975789573,
      0.00993085657575863,
      0.009704762191432221,
      0.009482231730626178,
      0.009263209043925781,
      0.009047638837842332,
      0.00883546658503927,
      0.008626638673076906,
      0.008421102493179965,
      0.008218806042516489,
      0.008019698337566277,
      0.007823729093150659,
      0.007630848817565264,
      0.007441008834692577,
      0.007254161214068324,
      0.0070702587542938,
      0.006889255090412246,
      0.006711104518520311,
      0.006535762019721814,
      0.006363183395359292,
      0.006193325023490664,
      0.006026144081964049,
      0.005861598342331752,
      0.005699646188574132,
      0.0055402467145287924,
      0.005383359786066616,
      0.005228945749853809,
      0.0050769657166775395,
      0.004927381300751925,
      0.004780154742500953,
      0.00463524884943066,
      0.004492626990156577,
      0.004352253141371565,
      0.004214091905349398,
      0.0040781084540159555,
      0.003944268436533747,
      0.003812538028967403,
      0.00368288392877057,
      0.0035552734339862773,
      0.003429674365862101,
      0.0033060551140876577,
      0.003184384423722446,
      0.0030646315970549684,
      0.0029467662963799735,
      0.0028307588003641596,
      0.002716579887936587,
      0.0026042007422545435,
      0.0024935928438645696,
      0.0023847284187018185,
      0.002277579979010797,
      0.00217212045079861,
      0.0020683232395349257,
      0.001966162081026324,
      0.0018656111800780992,
      0.0017666452301789118,
      0.0016692391867609096,
      0.001573368442467666,
      0.00147900890249147,
      0.0013861367815578025,
      0.0012947285552406876,
      0.0012047611666478886,
      0.0011162118912062982,
      0.0010290582856820813,
      0.0009432783864472105,
      0.0008588505594172489,
      0.0007757535234576715,
      0.0006939662476671586,
      0.0006134681105156495,
      0.0005342389079656754,
      0.0004562585070234515,
      0.00037950722469586723,
      0.000303965744284197,
      0.00022961492502846095,
      0.00015643608972008176,
      8.441074131793182e-05,
      1.352070034162583e-05,
      -5.6251953908189676e-05,
      -0.00012492490268601434,
      -0.00019251540289518242,
      -0.0002590404692221454,
      -0.0003245168836357801,
      -0.0003889612423243189,
      -0.00045238993186489274,
      -0.000514818932580427,
      -0.0005762638622656129,
      -0.0006367402282857905,
      -0.0006962634122197784,
      -0.0007548483929366843,
      -0.000812509939216187,
      -0.0008692626675824571,
      -0.0009251208006831803,
      -0.0009800984395289594,
      -0.0010342094979864601,
      -0.001087467642751512,
      -0.0011398862771875374,
      -0.001191478619162909,
      -0.0012422577405852408,
      -0.001292236497618188,
      -0.0013414274857864146,
      -0.0013898431148356124,
      -0.0014374956511446929,
      -0.0014843970878057938,
      -0.0015305591915488878,
      -0.0015759937081436747,
      -0.0016207120331416707,
      -0.0016647255047414062,
      -0.0017080452254727239,
      -0.0017506821505466087,
      -0.0017926470225956923,
      -0.0018339505221437976,
      -0.0018746028894539438,
      -0.00191461453105596,
      -0.0019539955516693274,
      -0.001992755870171824,
      -0.00203090522048491,
      -0.002068453259566634,
      -0.0021054094274030057,
      -0.0021417830285385504,
      -0.002177583230302761,
      -0.0022128191754007312,
      -0.0022474998204109133,
      -0.002281633735632263,
      -0.0023152296412953213,
      -0.002348296034576596,
      -0.002380841204054065
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334925709223215,
      10.09422345478371,
      9.847526646682407,
      9.597584364419106,
      9.346799449796679,
      9.097253416804033,
      8.850678546348684,
      8.608445794234463,
      8.371568793647986,
      8.140722508009773,
      7.916270382671427,
      7.698307206381973,
      7.486709010161055,
      7.281184562312068,
      7.08132497989469,
      6.886649875630644,
      6.69664588720395,
      6.510798372914502,
      6.328618095258254,
      6.149658187583413,
      5.973526350858108,
      5.799884126563401,
      5.628460168223198,
      5.459066082587162,
      5.291592384133365,
      5.1260061647310575,
      4.962345056184927,
      4.800721828220548,
      4.641328979963883,
      4.484454780154025,
      4.3304344477627055,
      4.179628283476967,
      4.032417223359445,
      3.88919381277891,
      3.7503409726115047,
      3.6162103648197554,
      3.4871122797340908,
      3.363307884728554,
      3.2450039147326435,
      3.1323498365516738,
      3.025433441952017,
      2.924268711126482,
      2.82879950196868,
      2.738886097709131,
      2.6543276779171854,
      2.574888948579757,
      2.500322169489614,
      2.4303703900634286,
      2.364767284029822,
      2.3032352448418534,
      2.2454727701445716,
      2.1911129168879193,
      2.139787069330651,
      2.0911518368592974,
      2.0448833449937562,
      2.0006830507151427,
      1.958308123766231,
      1.917559133100034,
      1.8782699505650509,
      1.8403081108418786,
      1.8035632060899351,
      1.7679371587567307,
      1.7333468467992232,
      1.6997244267103522,
      1.6670131252639289,
      1.63516431625033,
      1.6041354722468757,
      1.573888725479376,
      1.5443898502875761,
      1.5156075372225237,
      1.4875128692461699,
      1.4600788587733564,
      1.433278668945009,
      1.4070867895027583,
      1.3814817173417577,
      1.356445969346812,
      1.3319631593034553,
      1.3080192909594597,
      1.284600084587384,
      1.2616907597592,
      1.2392764446659286,
      1.217342432507385,
      1.1958743388501818,
      1.1748581929921742,
      1.1542804887233316,
      1.1341286228482341,
      1.1143913943291925,
      1.095058029295413,
      1.0761182528339863,
      1.0575618039005719,
      1.0393784815095513,
      1.0215582613908207,
      1.0040913659857509,
      0.986968302868337,
      0.9701798840830588,
      0.9537172331572144,
      0.937571784275381,
      0.9217352769072783,
      0.9061997466168266,
      0.8909575152522446,
      0.8760011796830391,
      0.8613236008813941,
      0.8469178923347784,
      0.832777408800385,
      0.8188957355858361,
      0.8052666788399868,
      0.7918842553429029,
      0.7787426830241788,
      0.765836372031874,
      0.7531599166253661,
      0.7407080869907638,
      0.7284759633803382,
      0.7164592017742557,
      0.7046534995087784,
      0.6930545276856012,
      0.6816579873410266,
      0.6704596427832904,
      0.6594553414149708,
      0.6486410250455724,
      0.6380127360711516,
      0.6275666195398272,
      0.617298885377446,
      0.6072058052250412,
      0.5972837737791815,
      0.5875293033155102,
      0.5779390134761854,
      0.5685096227876957,
      0.5592379427395107,
      0.5501208726119652,
      0.5411553947449649,
      0.5323385709795901,
      0.5236675395044594,
      0.5151395117996083,
      0.5067517698738758,
      0.4985016636884776,
      0.49038660860697336,
      0.4824040830657205,
      0.4745517756108366,
      0.4668281043158179,
      0.45923150035899213,
      0.4517601351435933,
      0.44441203344936436,
      0.4371851444611827,
      0.4300773868255388,
      0.4230866765264125,
      0.41621094496752764,
      0.409448149372255,
      0.40279627916435906,
      0.3962533597889453,
      0.38981756372346815,
      0.38348733700049265,
      0.37726107897794803,
      0.3711371199056229,
      0.36511375963657466,
      0.35918929169152575,
      0.3533620184947802,
      0.347630260605381,
      0.3419923622999023,
      0.3364467415657708,
      0.3309919629102654,
      0.3256265819812056,
      0.3203491319594625,
      0.31515814269794573,
      0.31005215236112144,
      0.305029714640114,
      0.3000894155655148,
      0.2952298885515605,
      0.2904496985659925,
      0.2857472241559364,
      0.28112092576338465,
      0.27656937197091835,
      0.27209120925082686,
      0.267685142509201,
      0.26334992224842274,
      0.25908433610355236,
      0.2548872033383236,
      0.25075737102398427,
      0.24669376001859916,
      0.24269566177761748,
      0.23876243774158484,
      0.23489329333036066,
      0.23108734055850771,
      0.2273436378153961,
      0.22366121526413146,
      0.22003909145306824,
      0.21647628370970495,
      0.21297179073052358,
      0.20952446192234264,
      0.20613313936707056,
      0.20279675750564682,
      0.19951428635659188,
      0.19628465944336645,
      0.19310687104530894,
      0.18997998074323477,
      0.18690309626426713,
      0.1838753614079467,
      0.180895948436734,
      0.1779640530974473,
      0.1750788907026354,
      0.17223969402847447,
      0.16944571165444766,
      0.166696206707795,
      0.16399045593826825,
      0.16132774917245127,
      0.15870738882078014,
      0.15612868946893682,
      0.15359097761626445,
      0.15109359121031907,
      0.14863587937808476,
      0.14621720239129982,
      0.14383693124910915,
      0.14149444748171447,
      0.13918914313658803,
      0.13692042039402855,
      0.13468769126924313,
      0.13249037775059544,
      0.13032791138815167,
      0.12819973316526584,
      0.1261052933735558,
      0.124044051241964,
      0.12201547505804367,
      0.1200190419482539,
      0.11805423766645531,
      0.11612055633362159,
      0.11421750040744735,
      0.11234458053170283,
      0.11050131539351134,
      0.108687231466349,
      0.10690186304536771,
      0.10514475192040268,
      0.10341544747456385,
      0.10171350650242714,
      0.10003849304044173,
      0.09838997797954974,
      0.09676753929266954,
      0.09517076188539464,
      0.0935992373428492,
      0.0920525638395332,
      0.09053034611621048,
      0.08903219530104847,
      0.08755772873440666,
      0.08610657004684837,
      0.08467834891570283,
      0.0832727009322789,
      0.08188926755591439,
      0.08052769612750786,
      0.07918763965248597,
      0.0778687566737895,
      0.07657071111355751,
      0.07529317238567824,
      0.07403581524776057,
      0.07279831969169695,
      0.07158037078927243,
      0.07038165874726779,
      0.06920187862150243,
      0.0680407304240213,
      0.06689791896822944,
      0.06577315379872527,
      0.06466614895031127,
      0.06357662316920898,
      0.0625042997251738,
      0.06144890627216296,
      0.06041017479517497,
      0.05938784147460504,
      0.05838164679813634,
      0.057391335437368435,
      0.05641665604176967,
      0.05545736120930576,
      0.054513207751845726,
      0.05358395604431407,
      0.05266937047208805,
      0.05176921913915004,
      0.050883273807042724,
      0.050011309837660875,
      0.049153106162268465,
      0.048308445223070394,
      0.04747711296885003,
      0.04665889869263275,
      0.04585359508516254,
      0.045060998107539094,
      0.04428090703844254,
      0.04351312424412721,
      0.042757455288357435,
      0.04201370866924156,
      0.041281696095652104,
      0.04056123231100855,
      0.03985213481437834,
      0.03915422409477872,
      0.038467323463399504,
      0.03779125903631576,
      0.03712585958836284,
      0.03647095672529542,
      0.03582638478116825,
      0.035191980620534906,
      0.034567583654661706,
      0.03395303588265433,
      0.03334818186056656,
      0.03275286854630377,
      0.03216694530024129,
      0.0315902639142352,
      0.031022678580112806,
      0.030464045644396493,
      0.029914223823485103,
      0.029373073995199835,
      0.028840459380326144,
      0.028316245224389358,
      0.02780029893245974,
      0.027292490059843855,
      0.026792690113841826,
      0.026300772719084556,
      0.025816613543196244,
      0.025340090154040394,
      0.02487108201149158,
      0.02440947062570631,
      0.023955139226996346,
      0.023507972976912993,
      0.023067858811464104,
      0.022634685462750517,
      0.022208343411597567,
      0.021788724942367162,
      0.02137572391189394,
      0.020969235938319317,
      0.02056915827848517,
      0.020175389877364867,
      0.019787831239284258,
      0.01940638439449836,
      0.01903095283350971,
      0.018661441733394395,
      0.018297757605240366,
      0.017939808602232554,
      0.017587504267898416,
      0.017240755461329475,
      0.016899474637962486,
      0.016563575614472928,
      0.01623297351078252,
      0.015907584722921763,
      0.01558732701492404,
      0.015272119431944408,
      0.014961882288279068,
      0.014656537217457275,
      0.014356007062293872,
      0.0140602158775591,
      0.013769089001358772,
      0.01348255280036609,
      0.013200534832828577,
      0.012922963977885994,
      0.012649770061243137,
      0.012380884006213014,
      0.012116237887247009,
      0.011855764784271344,
      0.011599398902037535,
      0.011347075534588288,
      0.011098730938700677,
      0.010854302350823342,
      0.01061372796395273,
      0.010376947009248641,
      0.010143899721203201,
      0.009914527294118777,
      0.00968877171508375,
      0.009466575943314074,
      0.009247883845453256,
      0.009032640026254129,
      0.008820790190168428,
      0.008612280769088832,
      0.008407059081068294,
      0.008205073378413533,
      0.008006272625244112,
      0.007810606558135549,
      0.007618025717850181,
      0.007428481446051792,
      0.007241925917122991,
      0.007058312071290425,
      0.006877593429849181,
      0.006699724434517332,
      0.0065246601222554235,
      0.006352356158725634,
      0.0061827690906161486,
      0.0060158561049441,
      0.005851574962888063,
      0.005689884164823668,
      0.005530742909132177,
      0.005374110962466082,
      0.005219948750117705,
      0.0050682173919767365,
      0.004918878530698289,
      0.004771894321168198,
      0.004627227733568606,
      0.004484842198028284,
      0.004344701798376118,
      0.004206771163018585,
      0.004071015344950647,
      0.003937400104523924,
      0.003805891577924842,
      0.0036764567103864006,
      0.0035490628082348393,
      0.0034236776651085372,
      0.0033002696264267206,
      0.003178807382237002,
      0.00305926039171113,
      0.0029415983747662034,
      0.002825791670664973,
      0.0027118110069879594,
      0.0025996275563333698,
      0.0024892130142232564,
      0.00238053942408492,
      0.0022735792777679605,
      0.0021683056108930047,
      0.0020646919288184514,
      0.0019627119880666326,
      0.001862340056094348,
      0.0017635508165327759,
      0.0016663192761521798,
      0.0015706209020761351,
      0.001476431563649247,
      0.0013837273360526804,
      0.001292484794296573,
      0.0012026808830643985,
      0.0011142929152125466,
      0.0010272986292802636,
      0.0009416761590885762,
      0.0008574038016044884,
      0.0007744601290696145,
      0.0006928242419604226,
      0.0006124755151522472,
      0.0005333936569454098,
      0.0004555587121252106,
      0.0003789510788502912,
      0.0003035513619197752,
      0.00022934055101103814,
      0.0001562999206044831,
      8.44109247121753e-05,
      1.3655454848464656e-05,
      -5.598432032114595e-05,
      -0.00012452601206656535,
      -0.00019198699802762918,
      -0.0002583843568607835,
      -0.00032373471912296994,
      -0.0003880546060014012,
      -0.0004513602906624909,
      -0.0005136677539034342,
      -0.0005749927533799683,
      -0.0006353508536261638,
      -0.0006947573026721666,
      -0.0007532269710272509,
      -0.0008107746581263226,
      -0.0008674149533017535,
      -0.0009231621784888136,
      -0.0009780304191158553,
      -0.0010320334966043752,
      -0.0010851850290857854,
      -0.0011374985356065348,
      -0.00118898715222517,
      -0.0012396638617253749,
      -0.0012895416079430106,
      -0.0013386328951062898,
      -0.001386950135988169,
      -0.001434505541461592,
      -0.0014813111176680718,
      -0.001527378636726668,
      -0.0015727197402403796,
      -0.00161734597857676,
      -0.001661268582767998,
      -0.0017044985467285752,
      -0.0017470468931499385,
      -0.0017889243604715219,
      -0.0018301415658561644,
      -0.0018707088369741848,
      -0.0019106364371318358,
      -0.0019499344973457741,
      -0.0019886128970067704,
      -0.002026681461931591,
      -0.002064149722742742,
      -0.002101027219721915,
      -0.002137323298378077,
      -0.0021730470888923913,
      -0.0022082076120450264,
      -0.0022428137318166812,
      -0.0022768742030291798,
      -0.0023103976102789524,
      -0.0023433924079047726,
      -0.0023758669341210096
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334922323792735,
      10.09421156318438,
      9.84750031878935,
      9.597538969512136,
      9.34673171241602,
      9.097161148721977,
      8.850560402415917,
      8.608301059585756,
      8.371397358875877,
      8.140524604379582,
      7.916046369812791,
      7.698057487775541,
      7.486433975544545,
      7.280884560748612,
      7.081000300907286,
      6.886300755497325,
      6.696272557381311,
      6.510401093205545,
      6.328197192148606,
      6.149214141168598,
      5.973059847845215,
      5.799396122003415,
      5.627951828955823,
      5.458538799871323,
      5.291047877596988,
      5.125446333472155,
      4.961771898979682,
      4.8001376373223135,
      4.640736748380865,
      4.483858023011872,
      4.329836664989476,
      4.179032978808231,
      4.031827935383589,
      3.888614077990981,
      3.749774079916383,
      3.6156593054541593,
      3.486579700115474,
      3.3627960509484702,
      3.244514689124414,
      3.1318846685067383,
      3.0249932955923096,
      2.9238539711843643,
      2.8284099764508426,
      2.7385210258496095,
      2.6539857331364134,
      2.5745684178397634,
      2.500021234540473,
      2.4300871799649055,
      2.364499795205906,
      2.302981374707438,
      2.245230223019208,
      2.19087911067756,
      2.1395597718641794,
      2.0909290297179965,
      2.0446631713956656,
      2.0004639074799817,
      1.958088723626892,
      1.9173384788561025,
      1.8780473363720065,
      1.8400830357590185,
      1.8033352878869373,
      1.7677060824087871,
      1.7331124186557332,
      1.699486537448634,
      1.6667717248967748,
      1.6349193945362621,
      1.6038870472356628,
      1.5736368349765233,
      1.5441345452843451,
      1.515348877247735,
      1.4872509193884487,
      1.4598137224531895,
      1.433010474307444,
      1.4068156450441802,
      1.3812078834034927,
      1.35616971073158,
      1.3316848730803241,
      1.3077393408590408,
      1.2843187245605276,
      1.2614081717554209,
      1.2389927629630986,
      1.2170577598849757,
      1.1955887570490995,
      1.174571770668904,
      1.153993285070317,
      1.1338407103830106,
      1.114102842943422,
      1.0947689085701893,
      1.0758286261144046,
      1.0572717253643795,
      1.0390879996789641,
      1.0212674209008326,
      1.003800208322928,
      0.9866768674028268,
      0.9698882087343308,
      0.9534253548463486,
      0.9372797394184533,
      0.92144310093391,
      0.9059074744963553,
      0.8906651812988501,
      0.8757088177074501,
      0.86103124412995,
      0.8466255734195182,
      0.8324851599245319,
      0.8186035889133696,
      0.8049746659918836,
      0.7915924071893836,
      0.7784510300018372,
      0.7655449443752557,
      0.7528687441325465,
      0.7404171988309798,
      0.7281855127773653,
      0.7161693469860304,
      0.7043643490206161,
      0.6927661583000749,
      0.6813704548715555,
      0.6701729888642642,
      0.6591695987114383,
      0.6483562205210521,
      0.6377288929837874,
      0.6272837581726352,
      0.617017023192381,
      0.6069249583234252,
      0.5970039576627318,
      0.5872505331296747,
      0.5776613038630628,
      0.5682329880871131,
      0.5589623967488578,
      0.5498464288471576,
      0.540882066388465,
      0.5320663708965003,
      0.5233964803034185,
      0.514869605555257,
      0.5064830281474673,
      0.4982340977191852,
      0.49012022929258253,
      0.48213890093718986,
      0.4742878458137868,
      0.46656554210726026,
      0.4589703798187407,
      0.45150050440429207,
      0.4441539236873588,
      0.4369285761538154,
      0.42982237337097146,
      0.42283322684249525,
      0.4159590649257034,
      0.409197842834376,
      0.40254754870281767,
      0.3960062068381251,
      0.3895720137840238,
      0.38324341584503896,
      0.3770188019153142,
      0.370896495652758,
      0.36487479261186334,
      0.3589519834746348,
      0.3531263686878465,
      0.34739626750524877,
      0.34176002319359305,
      0.3362160637942238,
      0.3307629538090109,
      0.32539924429225864,
      0.3201234654418963,
      0.3149341450253158,
      0.3098298198046067,
      0.3048090427440928,
      0.2998704011535927,
      0.29501252808388495,
      0.2902339908185971,
      0.2855331675120251,
      0.28090851672339273,
      0.27635860585338085,
      0.2718820806448333,
      0.26747764562063053,
      0.2631440509631989,
      0.25888008394577927,
      0.2546845637181049,
      0.25055633703780017,
      0.24649433196561654,
      0.24249784960996096,
      0.23856624471180018,
      0.23469871834454145,
      0.23089437977133118,
      0.22715228537397975,
      0.22347146418293953,
      0.21985093385957521,
      0.21628971127668942,
      0.2127868189850998,
      0.209341191417184,
      0.20595165303874666,
      0.2026171048942662,
      0.19933649065168552,
      0.19610872922471628,
      0.192932807067783,
      0.1898077787231023,
      0.18673274844923834,
      0.1837068578659493,
      0.18072927781415407,
      0.17779920302725763,
      0.1749158482078197,
      0.1720784458017763,
      0.1692862441514753,
      0.16653850623182748,
      0.16383450874981795,
      0.16117354141928392,
      0.15855490668985772,
      0.1559779191470915,
      0.15344190516717088,
      0.1509462027624932,
      0.148490161127974,
      0.14607314054877263,
      0.1436945121097983,
      0.14135365745472475,
      0.1390499686385384,
      0.13678284779979333,
      0.13455170705968053,
      0.13235596839254465,
      0.1301950634052345,
      0.12806843302404214,
      0.12597552761683165,
      0.12391580668604502,
      0.12188873851343844,
      0.11989380018805393,
      0.11793047743904746,
      0.11599826441289646,
      0.11409666363646871,
      0.11222518591116963,
      0.1103833499475466,
      0.10857068229915359,
      0.10678671726456396,
      0.10503099683983891,
      0.10330307046779497,
      0.1016024949135674,
      0.09992883412636891,
      0.09828165923972818,
      0.09666054837358778,
      0.09506508649796351,
      0.0934948652053656,
      0.09194948265873651,
      0.0904285437143231,
      0.08893165955261438,
      0.08745844757262912,
      0.08600853153399896,
      0.08458154118671304,
      0.08317711210316674,
      0.0817948859282349,
      0.08043451000828164,
      0.07909563737125688,
      0.07777792652956901,
      0.07648104167495857,
      0.07520465242274506,
      0.0739484334896958,
      0.07271206495327416,
      0.07149523198609872,
      0.07029762472374237,
      0.0691189383378613,
      0.06795887296878611,
      0.06681713345333964,
      0.06569342938844104,
      0.06458747490928234,
      0.06349898885670667,
      0.06242769462153484,
      0.0613733198242402,
      0.06033559654807274,
      0.05931426122887813,
      0.058309054376895854,
      0.0573197206253252,
      0.05634600872418664,
      0.05538767145738268,
      0.054444465520804286,
      0.05351615145929016,
      0.05260249373607519,
      0.051703260549556526,
      0.050818223708767825,
      0.04994715864002678,
      0.0490898444676501,
      0.048246063650497426,
      0.047415602159594526,
      0.04659824945190451,
      0.04579379820050424,
      0.04500204451044159,
      0.04422278775955324,
      0.043455830388315755,
      0.04270097793032377,
      0.0419580390067343,
      0.04122682537696619,
      0.040507151804321496,
      0.039798835926667706,
      0.03910169825575704,
      0.03841556218128448,
      0.03774025397622022,
      0.03707560256526676,
      0.03642143964067493,
      0.03577759952134754,
      0.035143919089041874,
      0.03452023795670425,
      0.03390639812276526,
      0.033302244162815436,
      0.032707623048954644,
      0.032122384297056716,
      0.03154637984346268,
      0.030979463772290848,
      0.03042149266160048,
      0.029872325220348005,
      0.029331822455129122,
      0.028799847623514004,
      0.028276266093826243,
      0.02776094532787718,
      0.02725375488457967,
      0.026754566412374104,
      0.02626325358639277,
      0.025779692027787588,
      0.02530375938348171,
      0.02483533537560089,
      0.024374301394247108,
      0.023920540892565283,
      0.0234739389938896,
      0.02303438275503789,
      0.022601760908395982,
      0.02217596404999333,
      0.02175688442885755,
      0.021344416046951063,
      0.020938454569945742,
      0.020538897367377622,
      0.020145643396877758,
      0.01975859312012924,
      0.0193776486408763,
      0.019002713569652042,
      0.018633693167793803,
      0.01827049400152539,
      0.0179130241930812,
      0.017561193359705997,
      0.01721491266665647,
      0.016874094434272242,
      0.016538652506971303,
      0.01620850203650353,
      0.015883559530886833,
      0.015563742832532925,
      0.015248971108115496,
      0.014939164715766867,
      0.014634245331983611,
      0.014334135854522093,
      0.014038760335389956,
      0.013748044141048852,
      0.013461913774143578,
      0.01318029694182363,
      0.012903122361020659,
      0.012630319937063724,
      0.012361820660468892,
      0.012097556616225183,
      0.011837461003580994,
      0.011581468217600428,
      0.0113295134710296,
      0.011081532972737049,
      0.010837464031937544,
      0.010597245018436147,
      0.01036081520340362,
      0.01012811474934026,
      0.009899084825313929,
      0.009673667547829676,
      0.009451805963654615,
      0.00923344397273277,
      0.009018526311511992,
      0.008806998736962064,
      0.00859880768015762,
      0.008393900494146763,
      0.008192225438058193,
      0.007993731550447119,
      0.007798368627545087,
      0.0076060873060289705,
      0.007416838913927391,
      0.007230575508525712,
      0.007047250050857512,
      0.006866816303847122,
      0.006689228612530686,
      0.006514442145072745,
      0.0063424126464296585,
      0.006173096671984453,
      0.006006451359857227,
      0.0058424346060741445,
      0.005681004943915415,
      0.0055221215528498254,
      0.005365744225622942,
      0.0052118334711541755,
      0.005060350391427197,
      0.004911256700480603,
      0.004764514726833435,
      0.004620087482113173,
      0.004477938280171082,
      0.004338031254794728,
      0.0042003310918294155,
      0.004064802992116148,
      0.0039314125604383385,
      0.0038001260904064736,
      0.003670910406664195,
      0.0035437327727871944,
      0.003418561125412847,
      0.003295363922810782,
      0.003174109970436784,
      0.003054768552739066,
      0.002937309535488306,
      0.002821703221951918,
      0.0027079203758201627,
      0.002595932272064569,
      0.0024857105779514605,
      0.0023772273688843467,
      0.0022704552671497067,
      0.002165367276875809,
      0.0020619368754020042,
      0.0019601379218573663,
      0.0018599446499952383,
      0.0017613317323901436,
      0.0016642742255350551,
      0.0015687476945892185,
      0.001474727863004149,
      0.0013821910261135266,
      0.0012911139072474796,
      0.001201473305344076,
      0.001113246563919656,
      0.0010264114500683267,
      0.0009409459909707419,
      0.0008568285911512213,
      0.0007740380558940059,
      0.0006925533998416168,
      0.0006123540255244725,
      0.0005334196105553914,
      0.00045573022515159545,
      0.00037926621558346456,
      0.0003040083497396403,
      0.00022993750632741277,
      0.0001570349814335357,
      8.528230047352368e-05,
      1.4661425734014137e-05,
      -5.484546722892587e-05,
      -0.00012325600869786816,
      -0.0001905875067728761,
      -0.0002568569451259474,
      -0.0003220811391453987,
      -0.0003862765027143546,
      -0.00044945930994181666,
      -0.0005116455363519677,
      -0.0005728508897009351,
      -0.0006330908274366098,
      -0.0006923806298535589,
      -0.0007507353201603127,
      -0.0008081695708095153,
      -0.0008646978120660525,
      -0.0009203344221099326,
      -0.0009750935100836929,
      -0.0010289888695891565,
      -0.0010820341093269008,
      -0.0011342426936757392,
      -0.0011856278238806847,
      -0.0012362024198252222,
      -0.0012859792407877472,
      -0.001334970980025962,
      -0.0013831899584092814,
      -0.0014306484209493443,
      -0.0014773583365229816,
      -0.0015233314134555913,
      -0.001568579323355365,
      -0.001613113587815691,
      -0.0016569454776022112,
      -0.0017000859930598404,
      -0.0017425460410169242,
      -0.0017843363631277304,
      -0.0018254674061341303,
      -0.0018659496429703083,
      -0.0019057933401963726,
      -0.0019450086301805612,
      -0.001983605385426955,
      -0.002021593321116541,
      -0.002058982083923795,
      -0.002095781111932316,
      -0.0021319996269404526,
      -0.0021676468618729385,
      -0.002202731874084972,
      -0.0022372634983466363,
      -0.002271250451416747,
      -0.0023047012964100035,
      -0.0023376244762788566,
      -0.0023700283979213002
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334918901331696,
      10.094199579703043,
      9.847473866875806,
      9.597493437716984,
      9.346663843016517,
      9.097068767578563,
      8.850442175846291,
      8.60815628303559,
      8.371225930900648,
      8.140326760460129,
      7.91582247552709,
      7.697807949846509,
      7.48615918760605,
      7.280584873061458,
      7.080676005407787,
      6.885952088766368,
      6.695899749224389,
      6.510004402639448,
      6.327776946957055,
      6.148770822871392,
      5.972594143281241,
      5.798908987628863,
      5.627444433327323,
      5.458012535704605,
      5.290504465425929,
      5.124887672090284,
      4.961199986454246,
      4.799554765904627,
      4.640145909088367,
      4.483262726039003,
      4.329240405231343,
      4.178439254792225,
      4.031240277840277,
      3.8880360142463797,
      3.7492088918113637,
      3.6151099762096153,
      3.4860488681199278,
      3.362285972972949,
      3.2440272194922275,
      3.131421249253838,
      3.0245548835747647,
      2.92344094480592,
      2.8280221391517184,
      2.738157612876699,
      2.6536454149264466,
      2.5742494787606076,
      2.4997218554625014,
      2.429805489015652,
      2.3642337885659424,
      2.302728951500124,
      2.244989088698421,
      2.1906466844713606,
      2.1393338232823402,
      2.0907075431048296,
      2.044444293061028,
      2.000246036942456,
      1.9578705746228229,
      1.917119056529534,
      1.8778259377614086,
      1.8398591617798652,
      1.8031085580169097,
      1.7674761828427785,
      1.7328791558047494,
      1.6992498022593734,
      1.6665314674459248,
      1.6346756062651353,
      1.6036397476075113,
      1.5733860625792302,
      1.5438803514588033,
      1.515091321790961,
      1.4869900673679068,
      1.4595496778899835,
      1.4327433657003452,
      1.4065455810943566,
      1.3809351254711841,
      1.355894523872889,
      1.3314076548666567,
      1.3074604542441832,
      1.2840384238776246,
      1.2611266392719667,
      1.2387101333611008,
      1.2167741359737032,
      1.1953042212907896,
      1.1742863909435959,
      1.1537071202253655,
      1.1335538339351678,
      1.1138153248882399,
      1.0944808192218412,
      1.0755400288559853,
      1.0569826742745443,
      1.0387985430919042,
      1.0209776030701634,
      1.0035100710734786,
      0.9863864504497589,
      0.9695975502455841,
      0.953134492096815,
      0.9369887086212344,
      0.9211519376216857,
      0.9056162134355702,
      0.8903738568521655,
      0.8754174640348324,
      0.8607398948223373,
      0.8463342614787973,
      0.8321939178359418,
      0.8183124486586277,
      0.8046836588995132,
      0.7913015642852025,
      0.7781603820704603,
      0.7652545216826875,
      0.752578576394088,
      0.740127320409203,
      0.7278960788352452,
      0.7158805133511337,
      0.7040762230178128,
      0.6924788153110025,
      0.6810839496842945,
      0.6698873631159388,
      0.6588848851304476,
      0.648072446193966,
      0.6374460808421252,
      0.6270019283321638,
      0.6167361931312368,
      0.6066451442147252,
      0.5967251750076585,
      0.5869727971019507,
      0.5773846291869814,
      0.5679573889830678,
      0.5586878873031919,
      0.5495730225098941,
      0.5406097763269971,
      0.5317952099866682,
      0.5231264608838859,
      0.514600739555941,
      0.5062153273123757,
      0.49796757341585174,
      0.4898548924168321,
      0.4818747620650611,
      0.47402498303962803,
      0.4663040615624864,
      0.4587103499436289,
      0.4512419696741892,
      0.443896913183839,
      0.4366731087451056,
      0.42956846155540046,
      0.42258087898745306,
      0.415708286418865,
      0.4089486370678217,
      0.40229991784178437,
      0.39576015217435595,
      0.3893275607349502,
      0.383000590031535,
      0.3767776187306764,
      0.3706569638295484,
      0.3646369163870866,
      0.35871576425239454,
      0.3528918059755138,
      0.34716335954712707,
      0.3415287675201883,
      0.33598646796819204,
      0.33053502522670886,
      0.32517298554484286,
      0.31989887619201685,
      0.3147112229545376,
      0.30960856129633674,
      0.3045894431776816,
      0.29965245725309975,
      0.29479623614725364,
      0.2900193498673122,
      0.28532017601006276,
      0.2806971715836877,
      0.27614890268178627,
      0.2716740141047188,
      0.2672712098303114,
      0.26293923962172655,
      0.258676890646785,
      0.25448298173936096,
      0.25035635939549555,
      0.24629595879011987,
      0.2423010908371532,
      0.23837110361571653,
      0.23450519390302826,
      0.2307024680959457,
      0.2269619807204957,
      0.2232827594576756,
      0.21966382122088687,
      0.21610418228717906,
      0.21260286490046446,
      0.20915887704061586,
      0.20577108328834395,
      0.20243834333748922,
      0.19915956999683856,
      0.19593366426850026,
      0.192759602559689,
      0.18963643296819163,
      0.18656325532050283,
      0.18353920851913244,
      0.1805634616661004,
      0.17763520823057535,
      0.17475366224727967,
      0.17191805567378468,
      0.16912763637553463,
      0.1663816670312741,
      0.16367942426865126,
      0.1610201978937747,
      0.15840329018071356,
      0.15582801575391664,
      0.15329370114707827,
      0.1507996843432244,
      0.1483453144858882,
      0.14592995180527357,
      0.14355296745419294,
      0.1412137431395432,
      0.13891167087288217,
      0.13664615281390036,
      0.13441660121987065,
      0.13222243811299966,
      0.1300630951292862,
      0.12793801330693755,
      0.1258466429734041,
      0.12378844371776318,
      0.12176288394613843,
      0.11976944082103529,
      0.11780760008137595,
      0.11587685597204977,
      0.11397671118793866,
      0.11210667645052769,
      0.11026627052373382,
      0.10845502001390851,
      0.10667245928437766,
      0.10491813037651442,
      0.10319158275868419,
      0.10149237325269181,
      0.09982006596560086,
      0.09817423211226417,
      0.09655444977914805,
      0.09496030391515209,
      0.09339138628192283,
      0.09184729509662659,
      0.09032763525702907,
      0.08883201804217832,
      0.08736006099442983,
      0.08591138784535843,
      0.08448562846360469,
      0.08308241858528327,
      0.08170139980386865,
      0.08034221958692604,
      0.07900453099253175,
      0.07768799272348265,
      0.07639226901108057,
      0.07511702941663774,
      0.07386194886854264,
      0.0726267074576519,
      0.0714109903310537,
      0.0702144878203208,
      0.06903689515597464,
      0.0678779124797375,
      0.06673724477913459,
      0.06561460170628836,
      0.06450969762699758,
      0.06342225134679357,
      0.062351986193499714,
      0.061298630037144836,
      0.06026191504331108,
      0.05924157759228126,
      0.0582373582993933,
      0.05724900198451936,
      0.05627625742785513,
      0.0553188774047915,
      0.05437661878672023,
      0.053449242268653295,
      0.05253651232799026,
      0.051638197111217976,
      0.050754068538046135,
      0.04988390215582414,
      0.049027477195265706,
      0.048184576188423665,
      0.047354985162264475,
      0.046538493628691266,
      0.045734894375257955,
      0.044943983576428856,
      0.04416556058392485,
      0.04339942796448881,
      0.042645391403434034,
      0.04190325967761072,
      0.0411728445953623,
      0.04045396090983285,
      0.039746426297919135,
      0.03905006141044538,
      0.038364689883337195,
      0.03769013789524125,
      0.03702623434600226,
      0.03637281098831624,
      0.03572970227090077,
      0.035096745205334026,
      0.034473779363268196,
      0.03386064693776228,
      0.03325719259188482,
      0.032663263386708406,
      0.03207870894157329,
      0.03150338107581747,
      0.030937134025477698,
      0.030379824408342655,
      0.029831311058171,
      0.029291455071352255,
      0.02876011968377589,
      0.028237170378908688,
      0.02772247459748864,
      0.027215902109916645,
      0.026717324634126887,
      0.02622661586208281,
      0.025743651582876646,
      0.025268309457546052,
      0.024800469113172022,
      0.02434001219352594,
      0.023886822118625833,
      0.02344078410565933,
      0.02300178519035523,
      0.022569714268495036,
      0.022144461851712587,
      0.021725920435514114,
      0.02131398402120161,
      0.020908548389738126,
      0.0205095108998279,
      0.020116770582477357,
      0.019730228025337106,
      0.019349785352295847,
      0.018975346259880878,
      0.018606816059822368,
      0.018244101409853174,
      0.017887110507808678,
      0.017535753005468523,
      0.01718993995975386,
      0.01684958389767726,
      0.016514598728085764,
      0.016184899690316924,
      0.015860403270197266,
      0.015541027375119601,
      0.015226691171355985,
      0.014917315129696566,
      0.01461282103176181,
      0.014313131688678392,
      0.014018171306479428,
      0.01372786534792788,
      0.01344214029739151,
      0.013160923887920568,
      0.012884144900567227,
      0.012611733279404694,
      0.012343620162098622,
      0.012079737826232822,
      0.011820019391800989,
      0.011564399144050578,
      0.0113128124284992,
      0.011065195569095363,
      0.010821485942810516,
      0.01058162191206531,
      0.010345542748445674,
      0.010113188699567018,
      0.009884500952041091,
      0.009659421795189485,
      0.009437894082713302,
      0.009219861829330742,
      0.00900526995268792,
      0.008794064095510666,
      0.008586190883216748,
      0.008381597726895512,
      0.00818023282713824,
      0.007982045148775091,
      0.007786984672369294,
      0.007595002019614888,
      0.007406048628678752,
      0.007220076690760139,
      0.007037039236112575,
      0.0068568899304953124,
      0.006679583198880326,
      0.006505074122731599,
      0.006333318632796142,
      0.006164273304249233,
      0.00599789524357104,
      0.005834142403679776,
      0.005672973380568109,
      0.005514347359163246,
      0.005358224283826508,
      0.00520456471374646,
      0.005053329744749814,
      0.004904481066260659,
      0.004757981040093766,
      0.0046137926734047185,
      0.004471879441780892,
      0.004332205368675978,
      0.004194735176546466,
      0.004059434161223035,
      0.003926268036565099,
      0.003795203060854745,
      0.0036662060822210732,
      0.003539244478572073,
      0.0034142861568833985,
      0.003291299484322913,
      0.0031702533866670903,
      0.0030511172519659974,
      0.002933861007496,
      0.0028184548743834053,
      0.0027048696325123306,
      0.0025930764484396527,
      0.0024830471567840943,
      0.00237475399675836,
      0.0022681694905604265,
      0.002163266685531081,
      0.002060019124463344,
      0.001958400690986627,
      0.0018583857169279343,
      0.001759948843251852,
      0.0016630652070451805,
      0.0015677102672533882,
      0.0014738599503286306,
      0.0013814904982517556,
      0.0012905786107871584,
      0.0012011011377247357,
      0.0011130354268933354,
      0.0010263592350495422,
      0.0009410507681603665,
      0.0008570882646201555,
      0.0007744505653933701,
      0.0006931167571310722,
      0.0006130663638757123,
      0.0005342791391904135,
      0.00045673503135381017,
      0.0003804144482199824,
      0.00030529805918458005,
      0.00023136689127402186,
      0.00015860228005045834,
      8.698577080260414e-05,
      1.6499211579569815e-05,
      -5.2875159094762766e-05,
      -0.00012115491560124361,
      -0.00018835734860128545,
      -0.00025449936147187515,
      -0.000319597663559918,
      -0.0003836688806015084,
      -0.0004467292000053007,
      -0.0005087944917310158,
      -0.0005698804913627778,
      -0.0006300026393303362,
      -0.0006891761351421853,
      -0.0007474160351986009,
      -0.0008047370065663488,
      -0.0008611535627634325,
      -0.0009166799552480445,
      -0.000971330140283274,
      -0.0010251179547114222,
      -0.0010780570620281997,
      -0.0011301608853376568,
      -0.001181442564362207,
      -0.0012319151090195856,
      -0.0012815912850225638,
      -0.001330483632305004,
      -0.0013786044441234787,
      -0.0014259659425745117,
      -0.0014725801866767698,
      -0.0015184589479888043,
      -0.0015636138394801572,
      -0.0016080562530409427,
      -0.0016517973850375726,
      -0.0016948483311681434,
      -0.0017372200537390916,
      -0.0017789232464808802,
      -0.0018199683513153817,
      -0.0018603658027337873,
      -0.0019001258206895561,
      -0.001939258527106651,
      -0.001977773750203029,
      -0.0020156811712586102,
      -0.0020529904261477336,
      -0.002089711016112433,
      -0.002125852224053103,
      -0.0021614232018834973,
      -0.0021964329302544944,
      -0.0022308903045811772,
      -0.002264804030027591,
      -0.002298182687537109,
      -0.002331034653032738,
      -0.002363368168321618
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334915455572057,
      10.094187540306882,
      9.847447359554364,
      9.5974478762482,
      9.346595987288431,
      9.096976459769218,
      8.850324096867883,
      8.608011738657668,
      8.371054828568575,
      8.140129344599186,
      7.915599117873965,
      7.697559062510509,
      7.485885166171184,
      7.280286068809119,
      7.0803527133916875,
      6.885604548659765,
      6.695528194076893,
      6.509609092239187,
      6.327358207248296,
      6.148329135077082,
      5.972130197258788,
      5.798423743186525,
      5.626939060756169,
      5.457488428955626,
      5.289963344833667,
      5.1243314345218565,
      4.960630625626728,
      4.798974568597505,
      4.639557859484555,
      4.482670325837588,
      4.328647140051298,
      4.177848611511188,
      4.030655775411908,
      3.8874611677669124,
      3.748646968348929,
      3.614563944215494,
      3.4855213501454463,
      3.3617792121124523,
      3.2435430564945307,
      3.130961112854539,
      3.024119718573105,
      2.9230311190154663,
      2.8276374466720853,
      2.7377972822320973,
      2.653308111896719,
      2.5739334846839146,
      2.4994253476359978,
      2.429526594370276,
      2.363970503595055,
      2.302479175746835,
      2.244750529946907,
      2.1904167662914773,
      2.139110319173783,
      2.0904884417472993,
      2.0442277444398185,
      2.000030444693808,
      1.9576546570589441,
      1.9169018230724486,
      1.877606688078444,
      1.83963739980197,
      1.8028839053816317,
      1.7672483282499079,
      1.7326479090311315,
      1.6990150568847715,
      1.666293175177673,
      1.6344337592612121,
      1.603394366342352,
      1.5731371866805026,
      1.5436280334773786,
      1.5148356224868085,
      1.4867310528198758,
      1.4592874533224993,
      1.432478060439553,
      1.406277304386666,
      1.3806641386777885,
      1.3556210927200283,
      1.3311321769868947,
      1.307183293461179,
      1.2837598348240977,
      1.2608468044982675,
      1.2384291877076452,
      1.2164921832444915,
      1.1950213439427406,
      1.1740026579317362,
      1.1534225915310659,
      1.1332685824842696,
      1.1135294207458264,
      1.0941943320019187,
      1.0752530221966092,
      1.0566952033070807,
      1.0385106565739497,
      1.020689345860483,
      1.0032214850690617,
      0.9860975755618564,
      0.9693084249591146,
      0.9528451537148374,
      0.9366991935508534,
      0.9208622818538923,
      0.9053264524575175,
      0.8900840254996276,
      0.8751275963356915,
      0.8604500242371896,
      0.8460444211326908,
      0.8319041403853207,
      0.8180227662507072,
      0.8043941033266467,
      0.7910121668759972,
      0.7778711733176985,
      0.7649655315480076,
      0.7522898344513798,
      0.7398389209308535,
      0.7276082042248564,
      0.7155932873620072,
      0.7037897320080542,
      0.6921931216138208,
      0.6807990995096403,
      0.6696033924145686,
      0.6586018232832818,
      0.6477903177664407,
      0.6371649073414485,
      0.6267217293880099,
      0.6164569858308017,
      0.6063669444829735,
      0.5964479981624803,
      0.586696658043345,
      0.5771095425779508,
      0.5676833695246258,
      0.5584149489592559,
      0.549301178817422,
      0.5403390403165378,
      0.5315255944510832,
      0.5228579782582673,
      0.5143334020963162,
      0.5059491467332836,
      0.4977025611057339,
      0.48959105939257175,
      0.48161211907245993,
      0.473763626208218,
      0.466044089688776,
      0.4584518270723326,
      0.45098493740347984,
      0.44364139884383896,
      0.4364191304443338,
      0.42931603105370375,
      0.42233000403342696,
      0.4154589723562257,
      0.40870088746199273,
      0.4020537349690635,
      0.3955155374254743,
      0.3890845393090613,
      0.3827591875469445,
      0.3765378505634989,
      0.37041883868007003,
      0.36440043852091863,
      0.35848093513665963,
      0.35265862539310766,
      0.34693182606550205,
      0.34129887873587733,
      0.33575823143083583,
      0.3303084482651463,
      0.3249480711108339,
      0.31967562422908036,
      0.31448963135871505,
      0.3093886266124711,
      0.3043711609571768,
      0.2994358243266588,
      0.2945812490957999,
      0.28980600765027187,
      0.2851084771932069,
      0.2804871129255678,
      0.2759404798094945,
      0.27146722198005996,
      0.2670660426896076,
      0.2627356913440044,
      0.25847495480045296,
      0.25428265165162595,
      0.25015762827006655,
      0.24609882684177709,
      0.24210556783037226,
      0.23817719267638074,
      0.23431289401056868,
      0.2305117754112074,
      0.22677288946912086,
      0.22309526270299887,
      0.21947791116062185,
      0.2159198506474823,
      0.21242010285591514,
      0.2089776995839647,
      0.20559159130092589,
      0.20226062031213515,
      0.19898366164079853,
      0.1957595939554458,
      0.1925873806260668,
      0.18946606121476872,
      0.18639473019576291,
      0.18337252278015023,
      0.18039860568103533,
      0.17747217094027803,
      0.17459243147199932,
      0.17175861840822357,
      0.16896997925189092,
      0.16622577653846132,
      0.16352528664578184,
      0.16086779923823483,
      0.15825261673969365,
      0.1556790536558627,
      0.15314643640591025,
      0.15065410299496257,
      0.14820140276308866,
      0.14578769594251206,
      0.14341235371590225,
      0.14107475776483425,
      0.13877430010861144,
      0.13651038304938004,
      0.13428241886064599,
      0.13208982968339328,
      0.12993204712682446,
      0.12780851229202309,
      0.1257186756137885,
      0.12366199668083216,
      0.12163794390528448,
      0.11964599448699811,
      0.11768563426538634,
      0.11575635754734154,
      0.11385766689827712,
      0.11198907323998046,
      0.11015009533851326,
      0.10834025991606779,
      0.10655910138741581,
      0.10480616192720245,
      0.10308099098414504,
      0.10138314546766442,
      0.09971218955261194,
      0.09806769454025074,
      0.09644923863492369,
      0.0948564067505293,
      0.0932887907468964,
      0.09174598902191357,
      0.09022760653349353,
      0.0887332545958321,
      0.08726255076772566,
      0.08581511882939347,
      0.08439058879706496,
      0.08298859642487404,
      0.08160878336328244,
      0.08025079717903001,
      0.07891429112606937,
      0.07759892384091854,
      0.07630435954093562,
      0.07503026791787075,
      0.07377632389549874,
      0.07254220767642021,
      0.07132760464538253,
      0.07013220513583451,
      0.06895570449429672,
      0.06779780298159258,
      0.06665820549463146,
      0.06553662184634036,
      0.0644327664174527,
      0.06334635810198282,
      0.06227712048250205,
      0.06122478131002044,
      0.060189072762892884,
      0.05916973148340665,
      0.058166498195027505,
      0.0571791177550939,
      0.056207338964947666,
      0.05525091478292692,
      0.05430960207254762,
      0.0533831615464993,
      0.05247135770941135,
      0.05157395895152703,
      0.05069073717031491,
      0.04982146800006893,
      0.04896593062599493,
      0.0481239078060795,
      0.04729518574730941,
      0.0464795539155036,
      0.04567680523572404,
      0.04488673594961612,
      0.04410914546343359,
      0.043343836389016316,
      0.04259061451441451,
      0.04184928869104869,
      0.0411196707711146,
      0.040401575575022344,
      0.03969482094063672,
      0.03899922752890685,
      0.03831461891793406,
      0.03764082144978568,
      0.03697766423785821,
      0.03632497902548283,
      0.03568260028729885,
      0.03505036512113744,
      0.034428113325460745,
      0.033815687041186614,
      0.033212931045702304,
      0.03261969248415901,
      0.0320358209090308,
      0.03146116830336336,
      0.030895588954655086,
      0.03033893950251703,
      0.029791078881359883,
      0.029251868259218137,
      0.028721171010259113,
      0.028198852607263698,
      0.02768478065555499,
      0.02717882490978388,
      0.026680857095328667,
      0.02619075106219428,
      0.025708382615915848,
      0.025233629553368695,
      0.024766371636313633,
      0.02430649043918712,
      0.02385386949647981,
      0.023408394088476912,
      0.022969951352283458,
      0.02253843028534675,
      0.022113721507798226,
      0.021695717431033143,
      0.02128431212257915,
      0.02087940134127848,
      0.02048088264755308,
      0.020088655078642336,
      0.019702619300198794,
      0.019322677516205044,
      0.018948733416501155,
      0.018580692295854854,
      0.018218460975366436,
      0.017861947755676056,
      0.017511062407269438,
      0.017165716039630238,
      0.016825821153642916,
      0.016491291794969908,
      0.01616204320418738,
      0.01583799189834586,
      0.015519055826857546,
      0.015205154221922982,
      0.01489620759968495,
      0.014592137779511714,
      0.014292867717329022,
      0.01399832169998806,
      0.013708425149841037,
      0.013423104574284481,
      0.013142287780020998,
      0.012865903704366247,
      0.012593882391099456,
      0.012326154925955662,
      0.01206265346537341,
      0.011803311396679082,
      0.011548062936683215,
      0.01129684347178538,
      0.011049589419658468,
      0.010806238215340686,
      0.010566728260490956,
      0.010330998836162286,
      0.01009899030341632,
      0.00987064397118217,
      0.00964590198042001,
      0.009424707344269465,
      0.00920700411270123,
      0.008992737222688315,
      0.008781852479634622,
      0.008574296408098174,
      0.008370016430139446,
      0.00816896086894249,
      0.007971078854025797,
      0.007776320338165762,
      0.007584635945300516,
      0.007395977190376779,
      0.007210296250844541,
      0.007027546128851961,
      0.0068476806068085636,
      0.006670654142376765,
      0.006496421861279879,
      0.006324939680409529,
      0.006156164223733674,
      0.005990052785702142,
      0.005826563329061625,
      0.005665654472450413,
      0.005507285455293726,
      0.005351416155741953,
      0.005198007092668158,
      0.005047019403783813,
      0.004898415055907645,
      0.0047521563267811946,
      0.004608206140449058,
      0.004466528055118972,
      0.004327086266811605,
      0.004189845455792668,
      0.004054770794220247,
      0.003921828134067012,
      0.003790983936632651,
      0.003662205013514461,
      0.003535458701781026,
      0.0034107128757829724,
      0.003287936043569316,
      0.003167097102350934,
      0.0030481654011115223,
      0.0029311108743932963,
      0.0028159038860270076,
      0.002702515412426104,
      0.0025909167374962407,
      0.0024810796706591495,
      0.002372976315324565,
      0.0022665792201516945,
      0.002161861563825894,
      0.0020587967508923907,
      0.0019573588163820446,
      0.00185752194825165,
      0.0017592609016765385,
      0.0016625507533585134,
      0.0015673670708702377,
      0.0014736857213819108,
      0.0013814830187490414,
      0.0012907356876473498,
      0.0012014207722264088,
      0.0011135156159488761,
      0.0010269979635672821,
      0.0009418458100568465,
      0.0008580376514081736,
      0.00077555238108988,
      0.0006943690418101363,
      0.0006144670994905902,
      0.0005358263179357072,
      0.0004584268132625556,
      0.0003822490330717896,
      0.00030727366677974936,
      0.00023348176703661403,
      0.00016085465634983726,
      8.937387914468533e-05,
      1.9021294736276515e-05,
      -5.0220841300788316e-05,
      -0.00011837012480835291,
      -0.0001854437541415551,
      -0.0002514587312570813,
      -0.00031643166115873404,
      -0.00038037902090908444,
      -0.00044331705242376605,
      -0.0005052615907336137,
      -0.0005662284381218008,
      -0.0006262329550690638,
      -0.000685290375497197,
      -0.0007434156626765242,
      -0.000800623529932178,
      -0.0008569283392316089,
      -0.0009123443995830104,
      -0.0009668857430289387,
      -0.0010205662052071773,
      -0.001073399454438195,
      -0.0011253988670146544,
      -0.0011765775035962474,
      -0.001226948268557418,
      -0.0012765239415193177,
      -0.0013253172466264776,
      -0.0013733403744457411,
      -0.0014206055071375383,
      -0.0014671246689838841,
      -0.001512909531736088,
      -0.0015579716832180225,
      -0.0016023225774026923,
      -0.0016459734202708095,
      -0.0016889352838585674,
      -0.0017312189397564704,
      -0.0017728351495585326,
      -0.001813794471623757,
      -0.0018541073534814362,
      -0.001893783988353603,
      -0.0019328344252378554,
      -0.0019712684874333645,
      -0.0020090959956334297,
      -0.0020463263674287634,
      -0.0020829690042006277,
      -0.0021190332709179706,
      -0.0021545282400966454,
      -0.002189463039232479,
      -0.002223846498464997,
      -0.002257687249160096,
      -0.0022909937893219857,
      -0.0023237746696922468,
      -0.002356038132895899
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334912023745627,
      10.094175550504913,
      9.847420954214623,
      9.597402483032457,
      9.346528379198803,
      9.096884487972195,
      8.850206448093125,
      8.607867723623253,
      8.370884358949375,
      8.139932667733978,
      7.915376607146208,
      7.697311129568667,
      7.485612208150805,
      7.279988439854804,
      7.0800307125772015,
      6.885258417557701,
      6.6951581637130975,
      6.509215421834166,
      6.326941224036913,
      6.147889320154103,
      5.971668240626199,
      5.797940605199714,
      5.626435912203489,
      5.456966662438264,
      5.2894246790808515,
      5.123777766033877,
      4.960063949174493,
      4.79839716844983,
      4.638972714234829,
      4.482080927722757,
      4.328056963979293,
      4.177261133264534,
      4.030074500862672,
      3.886889596940936,
      3.7480883534600338,
      3.614021238995888,
      3.48499716363706,
      3.3612757735599064,
      3.243062192844114,
      3.130504241195741,
      3.023687773752723,
      2.922624458414715,
      2.827255855441473,
      2.7374399821370865,
      2.65297376308218,
      2.573620365013909,
      2.4991316340229086,
      2.429250414016138,
      2.3637098541914905,
      2.302231959499327,
      2.244514457397529,
      2.19018926461991,
      2.1388891663180263,
      2.0902716310263414,
      2.0440134305694704,
      1.9998170368101875,
      1.9574408769631093,
      1.9166866831080678,
      1.877389491207344,
      1.8394176528101667,
      1.8026612333424272,
      1.7670224221554114,
      1.7324185798147136,
      1.6987821990468017,
      1.6660567420111663,
      1.634193745262647,
      1.6031507934875344,
      1.5728900954020397,
      1.543377477135676,
      1.5145816627471935,
      1.4864737568033257,
      1.4590269269143807,
      1.432214433847281,
      1.406010750256856,
      1.3803949481460767,
      1.3553494990438621,
      1.3308585559607877,
      1.3069079942772908,
      1.283483102945558,
      1.2605688165164468,
      1.2381500748887133,
      1.216212047073164,
      1.1947402658025872,
      1.1737207058229813,
      1.1531398242851763,
      1.1329850735561,
      1.1132452413345113,
      1.0939095527956264,
      1.0749677068254233,
      1.0564094064685856,
      1.0382244277883739,
      1.020402730364377,
      1.0029345250020147,
      0.9858103110914732,
      0.9690208950397925,
      0.9525573962779801,
      0.9364112457880691,
      0.9205741797281777,
      0.9050382313746752,
      0.8897957203093692,
      0.8748392415791271,
      0.8601616537744936,
      0.8457560684743641,
      0.8316158383533254,
      0.8177345472919336,
      0.8041059994108133,
      0.790724209333433,
      0.7775833931260266,
      0.7646779593306393,
      0.7520025002132001,
      0.7395519234184127,
      0.7273217248525161,
      0.7153074494836543,
      0.7035046216343653,
      0.691908800779122,
      0.6805156148837738,
      0.669320780097678,
      0.6583201123420711,
      0.647509532799592,
      0.6368850699049629,
      0.626442859021699,
      0.6161790995188812,
      0.6060900580841521,
      0.5961721273951092,
      0.5864218182425418,
      0.5768357485966941,
      0.5674106355754744,
      0.5581432891853174,
      0.5490306070163306,
      0.5400695698865682,
      0.5312572383289113,
      0.522590749155427,
      0.5140673122445278,
      0.5056842083099918,
      0.4974387856360786,
      0.4893284579324473,
      0.4813507022066602,
      0.47350348972944273,
      0.4657853322603298,
      0.4581945127323642,
      0.4507291078435156,
      0.443387081332883,
      0.436166342721604,
      0.4290647849120412,
      0.42208030742707503,
      0.4152108304730719,
      0.4084543036800256,
      0.4018087115726341,
      0.3952720759323708,
      0.38884266501152104,
      0.38251892609703564,
      0.37629921715879394,
      0.3701818419592778,
      0.364165083007748,
      0.35824722254606745,
      0.3524265556061848,
      0.3467013973940421,
      0.3410700886877183,
      0.3355310874800423,
      0.33008295786848385,
      0.32472423695383096,
      0.31945344598769754,
      0.3142691068367122,
      0.30916975233530886,
      0.30415393250389505,
      0.29922023867852404,
      0.2943673027897613,
      0.28959369989012795,
      0.28489780684900146,
      0.28027807705723307,
      0.2757330742673785,
      0.2712614416041815,
      0.26686188175800996,
      0.2625331438641647,
      0.25827401435279895,
      0.2540833116114706,
      0.24995988184880355,
      0.24590267427210527,
      0.2419110189559553,
      0.23798425067440787,
      0.23412155770585485,
      0.23032204094679848,
      0.22658475126562622,
      0.2229087138632804,
      0.2192929437665817,
      0.21573645615309922,
      0.21223827260443562,
      0.2087974246107801,
      0.2054129350148588,
      0.20208368873462726,
      0.19880851500866017,
      0.19558626508706092,
      0.19241588636544557,
      0.18929640774661277,
      0.1862269166780123,
      0.18320654366392114,
      0.18023445240104666,
      0.17730983295685537,
      0.17443189698657635,
      0.17159987493992548,
      0.16881301379057187,
      0.16607057570173603,
      0.16337183686559278,
      0.16071608678681185,
      0.15810262783084172,
      0.15553077442455845,
      0.1529998530012844,
      0.15050920159021702,
      0.14805816945045777,
      0.145646116919948,
      0.14327241525112885,
      0.14093644616525444,
      0.13863760163408856,
      0.1363752839258843,
      0.13414890538251875,
      0.13195788825171856,
      0.1298016643643063,
      0.1276796748527813,
      0.12559137013964744,
      0.12353620963582225,
      0.12151366198202757,
      0.11952320433911746,
      0.11756432267220858,
      0.11563651129872247,
      0.11373927283217238,
      0.11187211834944463,
      0.11003456667586385,
      0.10822614453505802,
      0.10644638649503596,
      0.10469483479431003,
      0.10297103901490068,
      0.10127455603407477,
      0.09960495000683267,
      0.09796179222026011,
      0.0963446609844475,
      0.09475314150279947,
      0.09318682556232141,
      0.09164531165332969,
      0.0901282047178857,
      0.08863511616249131,
      0.08716566361267554,
      0.0857194710174048,
      0.08429616825040841,
      0.08289539129566031,
      0.08151678196420178,
      0.0801599878033943,
      0.07882466209327023,
      0.07751046371067602,
      0.07621705684482395,
      0.07494411119937942,
      0.07369130193095275,
      0.07245830938200706,
      0.07124481878444473,
      0.07005052061379184,
      0.06887511029124471,
      0.06771828805357753,
      0.06657975900868776,
      0.06545923302173383,
      0.06435642453257821,
      0.06327105256180321,
      0.06220284074333003,
      0.06115151700484569,
      0.0601168135633179,
      0.05909846699971632,
      0.058096218095771035,
      0.05710981176884079,
      0.05613899701915666,
      0.05518352679044793,
      0.05424315806154022,
      0.053317651644513034,
      0.05240677218177563,
      0.05151028800491746,
      0.050627971264959284,
      0.04975959772390956,
      0.048904946483652185,
      0.04806380035731318,
      0.04723594562780177,
      0.046421171873615656,
      0.04561927213193234,
      0.044830042673616344,
      0.04405328295602024,
      0.04328879565478982,
      0.04253638672056831,
      0.04179586504737308,
      0.041067042572112494,
      0.04034973429999957,
      0.039643758010412165,
      0.03894893455597495,
      0.03826508747000624,
      0.037592043122235956,
      0.03692963070050854,
      0.036277682114406594,
      0.03563603189024354,
      0.035004517270177844,
      0.03438297797483635,
      0.03377125625894014,
      0.03316919693816009,
      0.03257664724793712,
      0.03199345694696424,
      0.031419478042178525,
      0.0308545648090472,
      0.03029857404276857,
      0.029751364836337505,
      0.029212798347878585,
      0.028682737932462957,
      0.028161049180756702,
      0.027647599749616687,
      0.027142259442796794,
      0.026644900102743577,
      0.026155395630944923,
      0.025673621933811095,
      0.025199456767962636,
      0.024732780012731187,
      0.0242734733464547,
      0.023821420260677434,
      0.023376506170277787,
      0.022938618334063375,
      0.022507645769740257,
      0.022083479124510513,
      0.021666010896176723,
      0.02125513540008516,
      0.020850748387197585,
      0.020452747354705897,
      0.020061031392543966,
      0.019675501169910264,
      0.019296059035942746,
      0.018922608917108175,
      0.01855505601079722,
      0.018193307177393578,
      0.017837270785110555,
      0.01748685656717629,
      0.017141975770741925,
      0.016802540993543853,
      0.01646846611484791,
      0.01613966651775215,
      0.0158160589099764,
      0.015497561366585626,
      0.015184093193170167,
      0.014875574940284337,
      0.014571928410126746,
      0.01427307664879876,
      0.013978943873682065,
      0.013689455596087079,
      0.013404538456295391,
      0.013124120286007686,
      0.012848130079659272,
      0.012576497804788658,
      0.012309154642879426,
      0.012046032916686508,
      0.011787065958250416,
      0.01153218808916755,
      0.011281334763706902,
      0.011034442436531004,
      0.01079144861250328,
      0.010552291702985848,
      0.010316911128052435,
      0.010085247237701682,
      0.009857241230590789,
      0.009632835464133207,
      0.009411973018226001,
      0.009194597949104032,
      0.00898065524155171,
      0.00877009066316869,
      0.008562850799456373,
      0.008358883245174684,
      0.008158136309554349,
      0.007960559106093787,
      0.007766101581789598,
      0.007574714467112855,
      0.0073863493117572974,
      0.007200958459780889,
      0.007018494875293933,
      0.006838912358807817,
      0.006662165429331901,
      0.006488209254095554,
      0.006316999777951304,
      0.006148493677778549,
      0.0059826482113436346,
      0.005819421431384346,
      0.005658771989010001,
      0.005500659130598521,
      0.005345042747783808,
      0.005191883461623159,
      0.005041142512618159,
      0.004892781754885845,
      0.004746763627329852,
      0.004603051076165393,
      0.0044616076894042084,
      0.004322397553881539,
      0.004185385476931013,
      0.00405053673357243,
      0.00391781712759794,
      0.003787193149908223,
      0.0036586316051207355,
      0.003532100054189787,
      0.003407566342975333,
      0.0032849988772408406,
      0.003164366721041879,
      0.003045639284532564,
      0.0029287865407971484,
      0.0028137788061321435,
      0.002700586923318167,
      0.0025891822865078684,
      0.0024795367353583134,
      0.002371622476296954,
      0.0022654121578538525,
      0.0021608788906224783,
      0.002057996141567103,
      0.0019567378016332585,
      0.001857078210525293,
      0.0017589921640840441,
      0.001662454885342853,
      0.0015674417300232091,
      0.0014739287196383598,
      0.001381892211889846,
      0.001291308973301148,
      0.0012021559924080588,
      0.001114410777807712,
      0.0010280510532854887,
      0.0009430549058475365,
      0.000859400801441479,
      0.0007770675577761963,
      0.0006960343373790844,
      0.0006162805720269958,
      0.0005377860795073141,
      0.0004605309777444317,
      0.00038449559412715524,
      0.0003096607763863867,
      0.00023600759463099564,
      0.0001635173243962679,
      9.217166568389968e-05,
      2.1952467576525332e-05,
      -4.715801216608106e-05,
      -0.0001151772724076231,
      -0.00018212252262098604,
      -0.00024801075688434215,
      -0.0003128586361015154,
      -0.0003766825343616952,
      -0.0004394986541760402,
      -0.0005013229753504776,
      -0.0005621711779109008,
      -0.0006220586402163163,
      -0.0006810004990606858,
      -0.000739011734865274,
      -0.0007961069820843496,
      -0.000852300707606097,
      -0.0009076071850764759,
      -0.0009620404487940989,
      -0.001015614164554885,
      -0.0010683420014183606,
      -0.001120237322639601,
      -0.0011713132127549697,
      -0.0012215826944187178,
      -0.0012710584230474552,
      -0.0013197529785098573,
      -0.0013676787553628907,
      -0.0014148477889322254,
      -0.00146127196783508,
      -0.0015069630935327328,
      -0.0015519328629724377,
      -0.001596192596264694,
      -0.0016397534851178015,
      -0.0016826265154977053,
      -0.0017248225873093027,
      -0.0017663524427866863,
      -0.0018072265493125311,
      -0.001847455274311411,
      -0.001887048817778808,
      -0.0019260172777651058,
      -0.001964370467470781,
      -0.002002118004520743,
      -0.0020392695205067343,
      -0.0020758344126587465,
      -0.0021118218933125995,
      -0.0021472411724073248,
      -0.0021821012393550662,
      -0.0022164109554188086,
      -0.002250178904020814,
      -0.0022834136854078422,
      -0.0023161237148310357,
      -0.002348317211290063
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334908602496354,
      10.094163602678025,
      9.84739464164154,
      9.597357247495472,
      9.346461007151788,
      9.096792840303355,
      8.850089219405888,
      8.607724228856119,
      8.370714514568476,
      8.139736723496437,
      7.915154936462538,
      7.697064146377232,
      7.48534030989213,
      7.279691980381325,
      7.07970999082767,
      6.884913675931665,
      6.694789632347588,
      6.508823360412054,
      6.326525958420433,
      6.147451332174724,
      5.971208220401618,
      5.797459515824776,
      5.625934925877439,
      5.456447171992322,
      5.288888403291547,
      5.123226599103279,
      4.959499881109691,
      4.797822477562885,
      4.638390371041241,
      4.4814944157204195,
      4.327469747449608,
      4.176676676252973,
      4.029496296733812,
      3.886321132141975,
      3.7475328660279117,
      3.6134816681063215,
      3.484476104365985,
      3.3607754414382263,
      3.2425844027516635,
      3.1300503986399217,
      3.0232588024153935,
      2.922220708341129,
      2.826877104321453,
      2.7370854488005705,
      2.652642105638609,
      2.573309859836609,
      2.4988404578170536,
      2.428976694685645,
      2.3634515909259113,
      2.301987055516661,
      2.244280625881321,
      2.189963936864225,
      2.138670124270121,
      2.0900568729032307,
      2.0438011166794943,
      1.9996055813253912,
      1.957229006395776,
      1.9164734140323245,
      1.877174130613371,
      1.8391997104985716,
      1.8024403361900851,
      1.7667982625184593,
      1.7321909702478286,
      1.698551035914675,
      1.6658219798362914,
      1.6339553787681527,
      1.6029088454897527,
      1.572644607828139,
      1.5431285042639236,
      1.5143292676428641,
      1.4862180075960676,
      1.4587679305057448,
      1.4319523212066951,
      1.4057457096886246,
      1.380127278505988,
      1.355079425793809,
      1.3305864503450173,
      1.3066342026493791,
      1.283207868821258,
      1.2602923155766288,
      1.2378724381129778,
      1.215933375057366,
      1.1944606399590734,
      1.1734401946858752,
      1.1528584873145389,
      1.1327029838580047,
      1.112962469336115,
      1.0936261685945228,
      1.0746837746553595,
      1.0561249820074279,
      1.0379395603336317,
      1.020117465350855,
      1.0026489048801683,
      0.9855243764493731,
      0.9687346849012751,
      0.952270948595097,
      0.93612459746639,
      0.9202873669994209,
      0.9047512898043072,
      0.8895086849482894,
      0.8745521471061433,
      0.8598745345294407,
      0.8454689580246977,
      0.831328770018295,
      0.8174475536913973,
      0.8038191124120101,
      0.7904374604973703,
      0.7772968137128616,
      0.7643915800426486,
      0.7517163511828354,
      0.7392661593777364,
      0.7270365059370714,
      0.7150228859699204,
      0.7032207915508569,
      0.6916257608581527,
      0.680233407833462,
      0.6690394398167681,
      0.6580396667095493,
      0.6472300057010337,
      0.6366064826799818,
      0.6261652310556348,
      0.6159024477019734,
      0.6058143981371138,
      0.5958974747263598,
      0.5861481880588595,
      0.5765631557265593,
      0.5671390946146239,
      0.5578728142789441,
      0.5487612118621175,
      0.5398012681115,
      0.5309900429694562,
      0.5223246727653008,
      0.513802367198989,
      0.505420406289326,
      0.49717613806825617,
      0.4890669759202213,
      0.48109039642323853,
      0.4732444560716029,
      0.4655276693839403,
      0.4579382844788236,
      0.45047435582295914,
      0.44313383277034507,
      0.43591461562910183,
      0.4288145912650632,
      0.4218316550179541,
      0.41496372454197766,
      0.4082087478451028,
      0.4015647081144033,
      0.3950296263747429,
      0.3886017947381976,
      0.38227966086019066,
      0.37606157244302385,
      0.3699458266235957,
      0.3639307015006913,
      0.3580144764147739,
      0.35219544445706746,
      0.3464719197417789,
      0.34084224213512354,
      0.3353048796793737,
      0.3298583963090457,
      0.32450132444944874,
      0.319232182362423,
      0.3140494899223953,
      0.30895177862875123,
      0.30393759774011647,
      0.29900553987429757,
      0.29415423648581895,
      0.28938226470238276,
      0.28468800208158,
      0.2800699000310669,
      0.275526520845015,
      0.27105650687276844,
      0.26665856027426216,
      0.26233142948902816,
      0.25807390085747095,
      0.25388479253091195,
      0.2497629504215238,
      0.24570733067631095,
      0.24171727280951383,
      0.23779210518911026,
      0.23393101197592553,
      0.23013309103505472,
      0.22639739132795939,
      0.2227229368827399,
      0.21910874216756593,
      0.2155538217759856,
      0.21205719663872186,
      0.20861789810977474,
      0.20523497002058028,
      0.20190738523123358,
      0.19863395443572812,
      0.19541349423448331,
      0.19224493091879433,
      0.18912727962047743,
      0.1860596187642823,
      0.18304107319626234,
      0.18007080263043596,
      0.17714799445491425,
      0.17427185879161186,
      0.17144162494547519,
      0.16865653926289184,
      0.16591586334202127,
      0.16321887312394281,
      0.1605648580157729,
      0.15795312019588403,
      0.15538297411878332,
      0.15285374614782826,
      0.15036477423294348,
      0.14791540779178924,
      0.14550500710091915,
      0.1431329434168209,
      0.14079859854257365,
      0.13850136468566146,
      0.1362406441037861,
      0.13401584907850522,
      0.13182640180438207,
      0.12967173405256374,
      0.1275512871498643,
      0.12546451157285543,
      0.12341086695799859,
      0.12138982184099244,
      0.1194008535762909,
      0.11744344799144482,
      0.11551709963457395,
      0.11362131117784328,
      0.1117555935973673,
      0.10991946588405392,
      0.10811245482450946,
      0.10633409502392577,
      0.10458392861727557,
      0.10286150535531019,
      0.1011663822705239,
      0.09949812362196495,
      0.09785630074303109,
      0.09624049197738631,
      0.09465028245361452,
      0.09308526410573337,
      0.09154503544992051,
      0.09002920162559694,
      0.08853737403297753,
      0.08706917050163723,
      0.08562421495943429,
      0.0842021373645724,
      0.08280257373217614,
      0.08142516588901981,
      0.08006956145630627,
      0.07873541383970066,
      0.07742238195068817,
      0.07613013015110952,
      0.07485832827449838,
      0.07360665142856108,
      0.07237478000095467,
      0.07116239939160558,
      0.0699692001005634,
      0.06879487767168263,
      0.0676391324864327,
      0.06650166965479924,
      0.06538219904103992,
      0.06428043528488389,
      0.06319609746139371,
      0.062128909209193894,
      0.0610785984809477,
      0.06004489768507035,
      0.0590275434399511,
      0.05802627662707522,
      0.05704084227866361,
      0.05607098942979354,
      0.0551164711476091,
      0.054177044416542725,
      0.05325247019445054,
      0.052342513209669234,
      0.05144694187096919,
      0.050565528343965195,
      0.04969804839687437,
      0.04884428129486595,
      0.04800400993961429,
      0.04717702065056944,
      0.04636310309284715,
      0.045562050319372174,
      0.044773658635188125,
      0.043997727722105424,
      0.04323406043911354,
      0.042482462603165384,
      0.0417427432390891,
      0.041014714406139886,
      0.04029819101668854,
      0.03959299101290177,
      0.03889893532902281,
      0.03821584760116725,
      0.037543554456773195,
      0.036881885115683626,
      0.03623067149106545,
      0.03558974810037078,
      0.03495895223432898,
      0.03433812368168217,
      0.0337271048231188,
      0.033125740531327594,
      0.032533878170113946,
      0.03195136748846416,
      0.03137806066342774,
      0.030813812123895057,
      0.030258478624365034,
      0.029711919137182678,
      0.029173995033160188,
      0.028644569685927213,
      0.028123508771533263,
      0.027610680067566985,
      0.027105953464536005,
      0.02660920092770526,
      0.026120296352723265,
      0.02563911566404087,
      0.025165536857489346,
      0.024699439713925613,
      0.024240706022258127,
      0.023789219428682187,
      0.02334486533730796,
      0.022907530989853767,
      0.02247710542510444,
      0.022053479572354345,
      0.02163654586259761,
      0.021226198583675252,
      0.02082233366952822,
      0.020424848680975556,
      0.020033642722549948,
      0.01964861661966134,
      0.01926967278474594,
      0.018896715057570266,
      0.018529648830998273,
      0.018168381068513303,
      0.017812820193998956,
      0.017462875942929973,
      0.017118459530110697,
      0.016779483575384037,
      0.0164458620983341,
      0.016117510613727237,
      0.01579434582593027,
      0.015476285843099102,
      0.015163249970550829,
      0.01485515879518782,
      0.014551934211450509,
      0.014253499388498831,
      0.013959778608853663,
      0.01367069742326965,
      0.013386182517822037,
      0.01310616171896938,
      0.012830564035005987,
      0.01255931960023303,
      0.012292359693565865,
      0.012029616634435924,
      0.01177102372728034,
      0.011516515400644429,
      0.011266027140815251,
      0.011019495474952961,
      0.010776857944712134,
      0.01053805298617964,
      0.010303020046080292,
      0.010071699547723576,
      0.009844032873700361,
      0.009619962250261448,
      0.009399430947040502,
      0.009182383022464314,
      0.008968763416121583,
      0.00875851806985228,
      0.008551593620059725,
      0.008347937544738976,
      0.008147498224435178,
      0.007950224917953842,
      0.007756067563102678,
      0.007564976923697037,
      0.007376904491972078,
      0.007191802673442001,
      0.0070096245809565805,
      0.006830324022543669,
      0.006653855587243813,
      0.006480174505068744,
      0.006309236719532216,
      0.0061409987844158916,
      0.005975418221568885,
      0.0058124530867083865,
      0.005652061995923329,
      0.005494204312943764,
      0.005338839951498241,
      0.005185929510621882,
      0.005035434355412711,
      0.004887316318967408,
      0.004741537756202844,
      0.0045980617906040714,
      0.004456851984669871,
      0.00431787258535973,
      0.004181088427929359,
      0.004046464778888867,
      0.00391396749890332,
      0.0037835629211686672,
      0.0036552181456613545,
      0.00352890050913821,
      0.0034045779849211115,
      0.0032822190635811506,
      0.0031617928264224453,
      0.0030432687223429346,
      0.0029266167338866324,
      0.002811807335860747,
      0.0026988113290685846,
      0.002587600075171822,
      0.0024781453778880743,
      0.002370419461390226,
      0.0022643950457706206,
      0.0021600452399056893,
      0.0020573436012702845,
      0.001956264191170969,
      0.0018567813202502441,
      0.0017588697657789916,
      0.00166250473610278,
      0.0015676617669956366,
      0.0014743168228904975,
      0.0013824462788308244,
      0.0012920267832141185,
      0.0012030354395825996,
      0.0011154497804228675,
      0.0010292475071016181,
      0.0009444067395581953,
      0.0008609060131310549,
      0.0007787241687505484,
      0.0006978403589175298,
      0.0006182341314086337,
      0.0005398852979923443,
      0.00046277396957204633,
      0.00038688061179907845,
      0.0003121860066939076,
      0.0002386712277837072,
      0.00016631761684164528,
      9.5106806090174e-05,
      2.5020754101758632e-05,
      -4.395832484047708e-05,
      -0.00011184790979616671,
      -0.00017866508909517205,
      -0.0002444269201788242,
      -0.0003091501338063274,
      -0.0003728511107942685,
      -0.0004355458953672096,
      -0.0004972504236777749,
      -0.0005579803126736786,
      -0.0006177509977024866,
      -0.0006765775706105536,
      -0.0007344750425888898,
      -0.0007914580721351906,
      -0.0008475410482399889,
      -0.0009027382040439355,
      -0.0009570635454440488,
      -0.0010105308361866008,
      -0.0010631536773102648,
      -0.0011149452489088707,
      -0.0011659187116619292,
      -0.0012160870676488121,
      -0.0012654630842811332,
      -0.0013140592362230442,
      -0.0013618877607011817,
      -0.0014089608327457965,
      -0.0014552903713484567,
      -0.0015008881118141204,
      -0.0015457656769574492,
      -0.001589934451259951,
      -0.0016334055173454517,
      -0.0016761899729046768,
      -0.0017182986817677688,
      -0.0017597423229808735,
      -0.0018005314772293814,
      -0.001840676330974896,
      -0.0018801870921178855,
      -0.0019190737499915679,
      -0.001957346210134019,
      -0.0019950141612802177,
      -0.002032087107056385,
      -0.0020685745051222115,
      -0.002104485581664965,
      -0.0021398294247960883,
      -0.0021746150139544175,
      -0.0022088512106755217,
      -0.0022425465832556103,
      -0.002275709796880799,
      -0.0023083492975481405,
      -0.0023404732818403423
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33490517758566,
      10.094151645249458,
      9.84736831477602,
      9.597311995162674,
      9.346393614451392,
      9.096701169140733,
      8.849971964535662,
      8.60758070712894,
      8.370544643225218,
      8.139540753061882,
      7.914933242520888,
      7.6968171436218205,
      7.485068395796243,
      7.279395508226342,
      7.0793892604841,
      6.884568930048922,
      6.694421102288341,
      6.508431306060055,
      6.326110707111036,
      6.14701336444622,
      5.970748227521948,
      5.796978462009309,
      5.625433984890453,
      5.455927738271379,
      5.2883521967947775,
      5.122675515022392,
      4.958935910059621,
      4.797247899561604,
      4.63780815599489,
      4.480908045867934,
      4.32688268672787,
      4.17609238718478,
      4.028918271157837,
      3.885752854028101,
      3.746977570884987,
      3.6129422931466233,
      3.4839552414500883,
      3.360275303596266,
      3.2421068028111444,
      3.129596740136931,
      3.022830007387471,
      2.921817124080893,
      2.8264984809640614,
      2.736731007266647,
      2.6523105056995946,
      2.572999380921402,
      2.498549278476426,
      2.428702944616152,
      2.36319327030875,
      2.3017420681942538,
      2.24404668635722,
      2.1897384789452414,
      2.1384509322504845,
      2.0898419472097234,
      2.043588619657938,
      1.9993939299358297,
      1.9570169283784022,
      1.9162599277567494,
      1.8769585441055394,
      1.8389815352545276,
      1.8022192007510738,
      1.7665738606418497,
      1.7319631151409862,
      1.6983196244556564,
      1.665586967073885,
      1.6337167604222718,
      1.6026666443181192,
      1.572398865356592,
      1.5428792749936704,
      1.5140766138084913,
      1.4859619972235842,
      1.4585086705610941,
      1.4316899431974037,
      1.4054804024233096,
      1.3798593405999442,
      1.3548090827927177,
      1.3303140735970427,
      1.306360138277712,
      1.2829323603883154,
      1.2600155387321417,
      1.2375945232706274,
      1.2156544231876296,
      1.1941807320606228,
      1.1731593986005664,
      1.1525768624971091,
      1.1324206038418023,
      1.1126794044942627,
      1.0933424896087809,
      1.0743995456090616,
      1.0558402583047135,
      1.0376543912311014,
      1.01983189596696,
      1.0023629777853262,
      0.9852381322797213,
      0.9684481627083437,
      0.9519841860840731,
      0.935837631632139,
      0.9200002343467303,
      0.9044640262546434,
      0.8892213258400009,
      0.8742647266768825,
      0.8595870866096734,
      0.8451815161122374,
      0.8310413668354755,
      0.8171602213943148,
      0.8035318831980792,
      0.7901503661363422,
      0.777009885196963,
      0.7641048476595267,
      0.7514298486484636,
      0.738980043778234,
      0.7267509361466633,
      0.7147379713035941,
      0.7029366091441118,
      0.691342366896168,
      0.6799508449234432,
      0.6687577415158875,
      0.6577588606699785,
      0.6469501158488444,
      0.6363275299750982,
      0.6258872345661604,
      0.6156254240111859,
      0.605538363203461,
      0.5956224441045351,
      0.5858741767826726,
      0.5762901785890682,
      0.5668671661361061,
      0.5576019485396306,
      0.5484914227088302,
      0.5395325687207111,
      0.5307224463689745,
      0.5220581917386329,
      0.5135370140306303,
      0.5051561929859263,
      0.49691307611512087,
      0.48880507664198497,
      0.4808296707781748,
      0.4729849997460593,
      0.46526958073402674,
      0.45768162743990237,
      0.45021917206013623,
      0.4428801494235875,
      0.43566245061223824,
      0.42856395654371293,
      0.42158255869191086,
      0.4147161720190385,
      0.40796274259420057,
      0.4013202525092375,
      0.39478673193804986,
      0.3883604911319495,
      0.3820399679023793,
      0.3758235019672725,
      0.36970938498808,
      0.3636958917437166,
      0.35778129932619157,
      0.35196389924359633,
      0.34624200451830434,
      0.3406139544595734,
      0.33507822686487027,
      0.3296333857828623,
      0.32427795922722,
      0.3190104622894531,
      0.31382941281159255,
      0.3087333410063418,
      0.30372079510123595,
      0.2987903690437062,
      0.29394069407574325,
      0.28917034814905307,
      0.28447771102884456,
      0.2798612319543997,
      0.27531947183179806,
      0.270851072216681,
      0.2664547344671552,
      0.26212920671637546,
      0.2578732749314661,
      0.25368575680771155,
      0.24956549803299138,
      0.24551146182937938,
      0.24152299737526772,
      0.2375994263999899,
      0.23373992866356033,
      0.22994359935166156,
      0.2262094856291427,
      0.22253661030988878,
      0.218923986957237,
      0.21537062964081694,
      0.2118755589420161,
      0.2084378056936336,
      0.20505641362931415,
      0.20173042467705016,
      0.19845869330629787,
      0.1952399936443252,
      0.19207322602052126,
      0.1889573886406389,
      0.18589154879354525,
      0.18287482387538526,
      0.17990636889077616,
      0.1769853681209108,
      0.1741110294707933,
      0.17128258092823911,
      0.1684992681428334,
      0.16576035220051152,
      0.1630651085403087,
      0.16041282640579818,
      0.15780280779252034,
      0.15523436713612787,
      0.15270683077278852,
      0.15021953666076,
      0.14777183412090467,
      0.14536308353237484,
      0.1429926560783595,
      0.14065993371268312,
      0.13836430861045007,
      0.13610518313779263,
      0.13388196968577287,
      0.13169409038119745,
      0.1295409770422483,
      0.12742207094096758,
      0.12533682275955488,
      0.12328469214280877,
      0.12126514769162906,
      0.11927766678066931,
      0.11732173547339615,
      0.11539684825488243,
      0.11350250782256276,
      0.11163822526007884,
      0.10980351957592983,
      0.10799791766279898,
      0.10622095407869427,
      0.10447217110123949,
      0.10275111850228745,
      0.10105735339843344,
      0.0993904400873814,
      0.09774994995980733,
      0.09613546148586627,
      0.09454655988844352,
      0.09298283712578377,
      0.091443891897186,
      0.08992932936008406,
      0.08843876093310936,
      0.08697180450888492,
      0.08552808407225282,
      0.0841072296770024,
      0.08270887736756813,
      0.0813326691822076,
      0.0799782528052907,
      0.07864528164349052,
      0.07733341461085433,
      0.07604231626384589,
      0.07477165644487327,
      0.07352111033608866,
      0.07229035837937854,
      0.07107908613930694,
      0.06988698423877321,
      0.06871374821093038,
      0.06755907838196096,
      0.06642268000644486,
      0.06530426316030936,
      0.0642035423584849,
      0.06312023683157353,
      0.062054070234593924,
      0.0610047707441121,
      0.05997207087017403,
      0.05895570729041701,
      0.05795542079188323,
      0.05697095646673107,
      0.05600206361872949,
      0.05504849537993631,
      0.05411000880624393,
      0.053186364904708086,
      0.052277328377079206,
      0.051382667828451314,
      0.05050215545956849,
      0.04963556706853905,
      0.048782682139239225,
      0.04794328357453238,
      0.04711715774802306,
      0.0463040944383603,
      0.0455038868051743,
      0.044716331368082854,
      0.04394122775364223,
      0.04317837874067866,
      0.042427590419113405,
      0.04168867180136418,
      0.04096143505629516,
      0.04024569517547293,
      0.039541270172477765,
      0.03884798097546192,
      0.038165651413566905,
      0.03749410804900932,
      0.0368331801566248,
      0.03618269979951722,
      0.03554250162581674,
      0.03491242300018553,
      0.03429230374167629,
      0.03368198631930992,
      0.033081315733562607,
      0.032490139344127464,
      0.03190830691028325,
      0.03133567065926034,
      0.03077208516106127,
      0.030217407173863328,
      0.029671495841501295,
      0.029134212511925675,
      0.028605420761923885,
      0.028084986277071334,
      0.02757277696938927,
      0.02706866276624856,
      0.026572515712515062,
      0.02608420973728877,
      0.02560362075884254,
      0.025130626860802627,
      0.024665107929669996,
      0.024206945865874144,
      0.023756024375660743,
      0.023312228853244858,
      0.02287544667683654,
      0.02244556695193969,
      0.022022480599025326,
      0.0216060802095063,
      0.021196260040301413,
      0.02079291604502735,
      0.020395945881715182,
      0.020005248785423424,
      0.0196207256633731,
      0.01924227889766993,
      0.018869812484626405,
      0.018503231753960674,
      0.018142443716710286,
      0.0177873567898622,
      0.017437880952920554,
      0.017093927541332564,
      0.01675540917256269,
      0.01642224001430746,
      0.016094335511668018,
      0.015771612405669152,
      0.01545398872488682,
      0.015141383909369095,
      0.014833718730167039,
      0.01453091508691064,
      0.014232896153263227,
      0.013939586355580137,
      0.01365091126736167,
      0.013366797571893064,
      0.013087173277290396,
      0.012811967357732644,
      0.012541109990386351,
      0.012274532548573832,
      0.01201216730713096,
      0.01175394770494279,
      0.01149980821736083,
      0.01124968433447857,
      0.011003512645255217,
      0.010761230754286219,
      0.010522777049581206,
      0.010288091116248368,
      0.010057113435701136,
      0.009829785279547806,
      0.009606049019683004,
      0.009385847921503723,
      0.00916912615019803,
      0.008955828678891132,
      0.008745901473458774,
      0.00853929135058805,
      0.00833594585169581,
      0.008135813342563282,
      0.0079388430522729,
      0.00774498493135101,
      0.007554189862478043,
      0.007366409486677658,
      0.007181596140979174,
      0.006999703059318111,
      0.006820684017185529,
      0.006644493544724278,
      0.006471086964489693,
      0.0063004202034270046,
      0.006132449995230292,
      0.005967133780428993,
      0.005804429704850527,
      0.005644296435685027,
      0.005486693330230799,
      0.005331580430220646,
      0.005178918405889745,
      0.005028668484394429,
      0.004880792545560262,
      0.004735253086918648,
      0.0045920131464886405,
      0.004451036488257876,
      0.00431228732661451,
      0.004175730503753501,
      0.004041331339158945,
      0.003909055811361586,
      0.0037788702653593514,
      0.0036507416497115635,
      0.0035246375009469855,
      0.003400525759072982,
      0.0032783750233178715,
      0.0031581543145511154,
      0.0030398330551618664,
      0.0029233813182110656,
      0.002808769589013906,
      0.00269596873835396,
      0.0025849501180540075,
      0.0024756856901213516,
      0.0023681476497050993,
      0.002262308786588217,
      0.0021581422129222576,
      0.002055621442227866,
      0.0019547205461328265,
      0.001855413912669903,
      0.0017576763431033787,
      0.0016614829973690258,
      0.0015668094937507284,
      0.001473631876830878,
      0.0013819264342638281,
      0.001291669979200691,
      0.0012028396318027668,
      0.0011154128505163634,
      0.0010293674643733308,
      0.0009446815540562448,
      0.0008613336713132493,
      0.0007793027672435614,
      0.0006985680018301029,
      0.0006191087508873239,
      0.0005409050852129037,
      0.0004639370749066156,
      0.00038818511231808087,
      0.0003136300001768484,
      0.00024025281260125532,
      0.00016803500538358965,
      9.695833684067797e-05,
      2.7004700598900767e-05,
      -4.1843678075685484e-05,
      -0.00010960428040540308,
      -0.00017629412090055738,
      -0.00024193029145844978,
      -0.0003065293666084058,
      -0.0003701077614322408,
      -0.0004326815541001316,
      -0.0004942666955524838,
      -0.000554878817417406,
      -0.0006145332171330567,
      -0.0006732450325845415,
      -0.0007310291933991642,
      -0.0007879003457955346,
      -0.0008438729293054328,
      -0.0008989611697995431,
      -0.0009531789955284104,
      -0.0010065401870558981,
      -0.0010590582978123007,
      -0.0011107466118280885,
      -0.0011616182025181434,
      -0.0012116860155983854,
      -0.0012609626717423063,
      -0.0013094608280140702,
      -0.0013571927504269464,
      -0.0014041704828586254,
      -0.00145040588810844,
      -0.0014959107961626096,
      -0.0015406967071454223,
      -0.0015847750019077687,
      -0.0016281569676496535,
      -0.0016708535113234902,
      -0.0017128753551952627,
      -0.0017542332062139474,
      -0.001794937473459551,
      -0.0018349986146582213,
      -0.0018744268589160904,
      -0.001913232138724321,
      -0.0019514243263642535,
      -0.0019890130752981306,
      -0.0020260079217109153,
      -0.002062418201085796,
      -0.002098253212173891,
      -0.002133521960797437,
      -0.002168233462356192,
      -0.0022023964973089455,
      -0.002236019690373209,
      -0.0022691116459428217,
      -0.002301680784657946,
      -0.0023337353512021424
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334901733961692,
      10.09413962288194,
      9.84734184229663,
      9.597266487367554,
      9.346325842105886,
      9.096608982456987,
      8.849854049677942,
      8.607436371727493,
      8.370373799370173,
      8.139343649169527,
      7.914710255408782,
      7.696568688916823,
      7.484794872548452,
      7.279097271357207,
      7.079066610183958,
      6.884222109797952,
      6.694050345031666,
      6.508036871919379,
      6.3256929230577414,
      6.146572712634264,
      5.970285397665024,
      5.796494415546878,
      5.624929892937121,
      5.455404995020137,
      5.2878125222654395,
      5.122120806367437,
      4.958368163517609,
      4.796669400604145,
      4.637221886640252,
      4.480317503289174,
      4.326291348582147,
      4.175503731185016,
      4.028335804430659,
      3.8851800772272433,
      3.7464177357849024,
      3.612398351968291,
      3.4834298013931027,
      3.3597705912796827,
      3.2416246432809785,
      3.129138548492344,
      3.02239671538841,
      2.9214090868276186,
      2.826115453845263,
      2.736372216817379,
      2.65197461801821,
      2.5726846793473634,
      2.4982539461837776,
      2.4284251056520327,
      2.3629309194117996,
      2.301493091773427,
      2.243808789365497,
      2.189509104572222,
      2.1382278723452677,
      2.089623208304744,
      2.043372368273373,
      1.9991785858437416,
      1.956801221747065,
      1.9160428785699386,
      1.8767394607078638,
      1.8387599277377955,
      1.8019946948143513,
      1.7663461462767565,
      1.7317320027517813,
      1.6980850081411594,
      1.665348799712487,
      1.6334750349249139,
      1.6024213816453734,
      1.572150105558185,
      1.5426270706221603,
      1.5138210259171938,
      1.485703091815294,
      1.458246552618403,
      1.431424742961879,
      1.4052123074582115,
      1.3795886492773035,
      1.354536056832442,
      1.330039100224683,
      1.30608354320441,
      1.2826543733587907,
      1.2597363261928693,
      1.237314209219993,
      1.2153731039061204,
      1.1938984857916646,
      1.1728762912529935,
      1.1522929508450797,
      1.1321359595733913,
      1.1123940974356736,
      1.093056588962076,
      1.0741131142720672,
      1.055553350846093,
      1.0373670564779833,
      1.019544178511206,
      1.0020749194776652,
      0.9849497731022545,
      0.9681595411795503,
      0.9516953395525222,
      0.9355485964079446,
      0.9197110461286817,
      0.9041747199384511,
      0.8889319358763511,
      0.873975287268616,
      0.8592976313406651,
      0.8448920779742438,
      0.8307519786022146,
      0.8168709154780724,
      0.8032426912433618,
      0.7898613193164712,
      0.7767210141709303,
      0.7638161827998641,
      0.7511414853645095,
      0.7386921663639973,
      0.7264636698109919,
      0.7144514033828481,
      0.7026508025055781,
      0.6910573686107898,
      0.679666691349944,
      0.6684744622779974,
      0.657476480952,
      0.6466686574235644,
      0.6360470126971175,
      0.6256076769608873,
      0.6153468426054031,
      0.6052607732914221,
      0.5953458609614696,
      0.5855986153687064,
      0.5760156537041823,
      0.5665936921341748,
      0.5573295392889062,
      0.5482200917734907,
      0.5392623293819272,
      0.5304533115116328,
      0.5217901738073528,
      0.5132701251816053,
      0.5048904447486391,
      0.49664848006444284,
      0.4885416437157547,
      0.48056744464095347,
      0.47272409096436285,
      0.46501006995241684,
      0.45742356702612036,
      0.4499625961556966,
      0.4426250806204706,
      0.43540890378637176,
      0.42831194158865965,
      0.42133208213638906,
      0.4144672382975683,
      0.4077153548733749,
      0.40107441271649696,
      0.3945424540829128,
      0.3881178058286621,
      0.3817988937292701,
      0.37558404981446064,
      0.36947156071666043,
      0.36345969790717686,
      0.35754673629088796,
      0.35173096587884206,
      0.3460106988391311,
      0.3403842775561282,
      0.3348501879269578,
      0.32940698998370804,
      0.32405320789646286,
      0.31878735436451544,
      0.3136079455524888,
      0.30851351061279875,
      0.303502597335703,
      0.2985738008048768,
      0.2937257517802061,
      0.2889570291367165,
      0.2842660145772356,
      0.2796511552956708,
      0.2751110108942681,
      0.27064422190068427,
      0.2662494893223389,
      0.2619255608144549,
      0.25767122190071745,
      0.2534852901820331,
      0.24936661107752123,
      0.24531415478944882,
      0.24132727996409856,
      0.23740530171180096,
      0.2335473957415151,
      0.22975265437576167,
      0.2260201228758217,
      0.22234882286143884,
      0.21873776721440136,
      0.21518596931043008,
      0.21169244923654063,
      0.20825623775717036,
      0.20487637850409227,
      0.201551929201267,
      0.19828183083293024,
      0.19506484773327823,
      0.19189984674560717,
      0.18878580392124453,
      0.18572177195218548,
      0.1827068587084429,
      0.1797402130358806,
      0.17682101517857332,
      0.17394847044823297,
      0.17112180506825034,
      0.1683402633063869,
      0.16560310568866232,
      0.1629096073149511,
      0.16025905690783962,
      0.15765075641309015,
      0.15508402005658223,
      0.1525581741407261,
      0.15007255660623292,
      0.14762651670219343,
      0.14521941495449614,
      0.14285062254877226,
      0.14051952140493076,
      0.138225503792564,
      0.13596797210972827,
      0.13374633878633468,
      0.131560026096797,
      0.12940846588036295,
      0.1272910994430899,
      0.1252073773551444,
      0.12315675939030915,
      0.12113871425245021,
      0.11915271945071979,
      0.1171982609920311,
      0.11527483346955587,
      0.11338193965658108,
      0.11151909055277763,
      0.1096858052980357,
      0.10788161083278115,
      0.10610604184453579,
      0.10435864066347823,
      0.1026389571387156,
      0.10094654846986753,
      0.0992809790628635,
      0.09764182033348998,
      0.09602865080861274,
      0.09444105575483788,
      0.09287862728833257,
      0.09134096410108983,
      0.08982767136233097,
      0.08833836057238421,
      0.08687264972778344,
      0.08543016288903237,
      0.08401053018936906,
      0.08261338774370046,
      0.08123837762669069,
      0.07988514764266234,
      0.078553351252681,
      0.07724264748683538,
      0.07595270087944872,
      0.07468318134777004,
      0.07343376420124871,
      0.07220412995073712,
      0.07099396417496638,
      0.06980295764993052,
      0.0686308060423045,
      0.06747720971326755,
      0.06634187393663807,
      0.06522450882673488,
      0.06412482917563783,
      0.06304255426967083,
      0.06197740778920173,
      0.060929117943945024,
      0.0598974172689615,
      0.0588820425352043,
      0.05788273479346312,
      0.05689923915767002,
      0.055931304863771805,
      0.05497868514411991,
      0.054041137192794575,
      0.053118422126776345,
      0.052210304789912815,
      0.05131655375240809,
      0.05043694128945833,
      0.04957124327467974,
      0.04871923930083422,
      0.04788071235925248,
      0.0470554488506305,
      0.046243238614750326,
      0.04544387487792263,
      0.044657154127516,
      0.04388287615762568,
      0.043120844035464165,
      0.04237086378736883,
      0.04163274447767986,
      0.04090629833753898,
      0.04019134045717829,
      0.03948768884231195,
      0.03879516461841738,
      0.03811359164880845,
      0.037442796462435396,
      0.036782608522649175,
      0.03613285986448945,
      0.03549338533368233,
      0.03486402238162491,
      0.03424461096574599,
      0.03363499347226431,
      0.03303501502346031,
      0.03244452307674733,
      0.031863367433656385,
      0.03129140042308904,
      0.030728476617168907,
      0.030174452975870136,
      0.029629188720723187,
      0.02909254521102431,
      0.028564386012639865,
      0.02804457695659694,
      0.027532985964307356,
      0.027029483014734144,
      0.026533940189515645,
      0.026046231516158827,
      0.02556623309883039,
      0.025093822983493923,
      0.024628881170736503,
      0.02417128960418933,
      0.02372093206495559,
      0.023277694066345448,
      0.02284146296600369,
      0.022412127938227465,
      0.021989579928221963,
      0.021573711692731454,
      0.021164417518468787,
      0.020761593412439362,
      0.020365137087558372,
      0.019974947841908237,
      0.019590926596874232,
      0.019212975795392367,
      0.018840999452193846,
      0.01847490314690484,
      0.018114593921159907,
      0.01775998022601288,
      0.01741097197045279,
      0.017067480537234496,
      0.01672941869004391,
      0.016396700689644574,
      0.016069241951325426,
      0.015746959317904992,
      0.015429770981710039,
      0.0151175964373886,
      0.014810356446224762,
      0.014507972903529556,
      0.014210369105039788,
      0.013917469490648251,
      0.013629199672539147,
      0.013345486359752459,
      0.013066257471606448,
      0.012791442185643126,
      0.012520970863712138,
      0.012254774797633042,
      0.011992786327931841,
      0.011734938909297225,
      0.011481167110292454,
      0.011231406509343981,
      0.010985593696469759,
      0.010743666310897595,
      0.01050556279638933,
      0.010271222757758514,
      0.010040586831846254,
      0.009813596334048253,
      0.009590193670535636,
      0.009370322182024418,
      0.009153926004474568,
      0.00894095016775575,
      0.00873134064723912,
      0.008525044291716596,
      0.008322008627558629,
      0.008122182168068509,
      0.00792551417333442,
      0.007731954641976622,
      0.007541454432892829,
      0.007353965212354163,
      0.007169439487133638,
      0.006987830373511562,
      0.006809091718518288,
      0.0066331781924102145,
      0.006460045180868645,
      0.0062896486478522876,
      0.006121945471952588,
      0.005956893016067279,
      0.005794449386526466,
      0.005634573274716279,
      0.005477224106758741,
      0.005322361960745764,
      0.0051699475118031565,
      0.005019942100232131,
      0.004872307630658434,
      0.0047270065816626475,
      0.004584002157498295,
      0.004443258054504398,
      0.004304738509421194,
      0.004168408318208663,
      0.004034232945760238,
      0.003902178358610795,
      0.0037722110059337783,
      0.0036442978276047355,
      0.003518406353588319,
      0.003394504589187104,
      0.003272561213757141,
      0.00315254531795311,
      0.0030344263331595657,
      0.00291817427434647,
      0.002803759660575382,
      0.00269115345581468,
      0.0025803270954270863,
      0.0024712522975767733,
      0.002363901486588209,
      0.0022582474939549877,
      0.002154263464184819,
      0.002051922927708427,
      0.0019511999831901584,
      0.001852069030350769,
      0.0017545049177503374,
      0.0016584828755920554,
      0.001563978552135861,
      0.0014709678864885996,
      0.0013794273765043237,
      0.0012893337640155055,
      0.0012006641406945029,
      0.0011133959280770858,
      0.0010275069861077836,
      0.0009429755706909542,
      0.0008597803502659419,
      0.0007779001056876395,
      0.0006973140094785704,
      0.0006180016332812477,
      0.0005399428037755089,
      0.00046311775910520066,
      0.0003875068866000245,
      0.0003130910785825262,
      0.00023985145989580716,
      0.0001677693966730871,
      9.682667126176179e-05,
      2.7005232496728727e-05,
      -4.171258242134528e-05,
      -0.00010934427017069616,
      -0.00017590701346466544,
      -0.00024141774861616326,
      -0.00030589301575460325,
      -0.00036934920186875787,
      -0.00043180240781000984,
      -0.0004932685818732477,
      -0.000553763181274279,
      -0.0006133015764538223,
      -0.0006718988314536389,
      -0.0007295699667718155,
      -0.0007863296746956101,
      -0.0008421923580073062,
      -0.000897172052856806,
      -0.0009512827192924525,
      -0.0010045381497030756,
      -0.0010569518831013453,
      -0.0011085371309660227,
      -0.0011593070199832196,
      -0.0012092744845911656,
      -0.0012584521459176048,
      -0.0013068525332156874,
      -0.0013544879356921248,
      -0.0014013704191565266,
      -0.001447511917736117,
      -0.0014929240516392344,
      -0.001537618395789218,
      -0.0015816063150619706,
      -0.001624898996232895,
      -0.0016675074091804817,
      -0.0017094425090625862,
      -0.0017507147831044541,
      -0.0017913346861327245,
      -0.0018313125545673335,
      -0.0018706585385792984,
      -0.0019093827185079645,
      -0.0019474948518009105,
      -0.001985004544754414,
      -0.0020219212967349516,
      -0.0020582545628755194,
      -0.002094013562185426,
      -0.002129207370974872,
      -0.002163844939398425,
      -0.0021979350249055787,
      -0.0022314862647634555,
      -0.002264507203448961,
      -0.0022970062628016163,
      -0.002328991666824062
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334898238969984,
      10.09412745029351,
      9.847315086350095,
      9.597220539511829,
      9.346257472174408,
      9.096516041316216,
      8.849735225193998,
      8.607290977187565,
      8.370201751830523,
      8.139145200826379,
      7.91448578327443,
      7.69631860845218,
      7.484519584781613,
      7.2787971316867806,
      7.078741924265007,
      6.883873124959239,
      6.693677291307993,
      6.507640007841688,
      6.32527257565149,
      6.146129363667346,
      5.9698197361163325,
      5.796007401221695,
      5.624422698058479,
      5.454879016798263,
      5.287269483482305,
      5.121562608256307,
      4.957796806847932,
      4.7960871786164,
      4.6366317895856355,
      4.47972303987619,
      4.325696009172822,
      4.174911005757456,
      4.0277492136069535,
      3.884603134328037,
      3.745853705571211,
      3.6118501999638277,
      3.482900146873213,
      3.359261673631043,
      3.2411382992774507,
      3.1286762038434097,
      3.0219593113056344,
      2.9209969854805973,
      2.825728416926204,
      2.736009475356877,
      2.6516348410684767,
      2.57236615404085,
      2.497954856958697,
      2.4281435544711782,
      2.362664884875306,
      2.3012404665591815,
      2.24356728432546,
      2.189276169455588,
      2.13800130305248,
      2.089401014992405,
      2.043152719543502,
      1.9989599024514624,
      1.9565822338993692,
      1.9158226058677117,
      1.8765172108722514,
      1.8385352105826596,
      1.8017671346072497,
      1.7661154303237276,
      1.7314979388661176,
      1.6978474888655484,
      1.6651077757485873,
      1.6332304973237173,
      1.60217334959078,
      1.5718986172737002,
      1.5423721770066476,
      1.5135627861026724,
      1.4854415705478106,
      1.4579818541515923,
      1.4311569961815616,
      1.4049416988749814,
      1.3793154763242272,
      1.354260647912146,
      1.329761873079777,
      1.3058047870684237,
      1.2823742931369413,
      1.2594550710050818,
      1.237031892129082,
      1.215089813901501,
      1.1936142950811879,
      1.1725912613222496,
      1.1520071368812643,
      1.1318494319240209,
      1.1121069241769133,
      1.092768838819643,
      1.0738248498777543,
      1.055264625446625,
      1.0370779177985006,
      1.0192546706718286,
      1.0017850836772653,
      0.9846596485968955,
      0.9678691658939067,
      0.9514047503767611,
      0.9352578294341152,
      0.9194201366236943,
      0.903883702969093,
      0.8886408456032879,
      0.8736841571968673,
      0.8590064947138133,
      0.8446009674983149,
      0.8304609263130673,
      0.8165799533116331,
      0.8029518506308241,
      0.789570630974286,
      0.7764305085421508,
      0.763525889825879,
      0.7508515036775306,
      0.7384026790788248,
      0.7261748011366447,
      0.7141632401646465,
      0.7023634073236535,
      0.6907707878177974,
      0.6793809612492426,
      0.6681896122370093,
      0.6571925356991088,
      0.6463856387888549,
      0.6357649403184478,
      0.6253265687461077,
      0.6150667144186914,
      0.6049816405078482,
      0.5950677385363543,
      0.5853215178986699,
      0.5757395955051317,
      0.566318687311258,
      0.5570556018247916,
      0.5479472350743098,
      0.5389905665539187,
      0.5301826553754216,
      0.5215206366000349,
      0.5130017188105518,
      0.504623181012919,
      0.4963823702598588,
      0.4882766988430618,
      0.4803037203672058,
      0.4724617026913691,
      0.46474909198935516,
      0.4571640476950481,
      0.4497045670407934,
      0.44236856232049765,
      0.4351539099709867,
      0.4280584812955271,
      0.42108016148836447,
      0.4142168613396728,
      0.4074665242964805,
      0.40082713036822676,
      0.39429673388154307,
      0.3878736784643428,
      0.38155637771877593,
      0.37534315592562806,
      0.3692322948051894,
      0.36322206251108874,
      0.3573107318282651,
      0.35149659129974953,
      0.34577795224349644,
      0.34015316170071264,
      0.33462071236978774,
      0.3291791590456657,
      0.32382702230674026,
      0.3185628125446044,
      0.3133850445710304,
      0.3082922465096155,
      0.30328296625319623,
      0.2983557998641037,
      0.2935093769673079,
      0.288742277279199,
      0.2840528844328411,
      0.27943964379656194,
      0.2749011138621956,
      0.27043593433549284,
      0.266042805570955,
      0.26172047473546206,
      0.2574677271400994,
      0.2532833801025141,
      0.24916627888903042,
      0.24511540073446467,
      0.24113011383083158,
      0.23720972683657343,
      0.233353411081897,
      0.22956025605442357,
      0.22582930525459308,
      0.22215957912379486,
      0.21855008954789173,
      0.2149998494150473,
      0.21150787852466468,
      0.20807320725874798,
      0.20469487898526573,
      0.20137195134482186,
      0.19810342459232125,
      0.1948881181902253,
      0.19172485750366375,
      0.18861259183541373,
      0.18555035634854813,
      0.18253724743232153,
      0.17957240620367146,
      0.1766550078430239,
      0.17378425452524854,
      0.17095937042384818,
      0.16817959837041188,
      0.16544419790340276,
      0.16275244358610746,
      0.1601036238359038,
      0.1574970403322346,
      0.1549320072374404,
      0.1524078507821473,
      0.14992390895387653,
      0.1474795310199833,
      0.14507407734960737,
      0.14270691923425172,
      0.14037743853603618,
      0.13808502756339064,
      0.13582908881762665,
      0.13360903472456945,
      0.13142428758016741,
      0.1292742793726269,
      0.1271584515063391,
      0.1250762546180482,
      0.12302714847841123,
      0.12101060174994169,
      0.11902609195054649,
      0.11707310521603534,
      0.11515113610830921,
      0.11325968763550168,
      0.11139827086634096,
      0.10956640494571028,
      0.10776361686912826,
      0.10598944142293597,
      0.10424342097838259,
      0.10252510543780338,
      0.10083405204050522,
      0.09916982528856522,
      0.09753199665536279,
      0.09592014466754893,
      0.09433385473081851,
      0.09277271901104465,
      0.09123633633239386,
      0.08972431187542312,
      0.08823625737447048,
      0.08677179078417299,
      0.08533053618398742,
      0.08391212378043289,
      0.08251618989594312,
      0.08114237663260818,
      0.07979033180115883,
      0.0784597088352759,
      0.07715016695482713,
      0.07586137090772099,
      0.07459299062980851,
      0.07334470141022335,
      0.07211618388473297,
      0.07090712371487883,
      0.0697172116127452,
      0.06854614331712809,
      0.06739361951843259,
      0.06625934553414091,
      0.0651430314370121,
      0.06404439204814723,
      0.06296314666757885,
      0.06189901925379582,
      0.060851738061011885,
      0.059821035571933065,
      0.058806648713349736,
      0.057808318553903275,
      0.0568257903355857,
      0.05585881341539747,
      0.054907141111461596,
      0.05397053066548956,
      0.05304874322320141,
      0.05214154367655471,
      0.0512487007939607,
      0.05036998691916384,
      0.04950517797044855,
      0.04865405355181075,
      0.04781639675324668,
      0.04699199410132744,
      0.04618063566590114,
      0.04538211473485558,
      0.04459622780328971,
      0.04382277464483414,
      0.04306155826808491,
      0.04231238480283119,
      0.041575063519098336,
      0.04084940668606506,
      0.04013522951279166,
      0.039432350211396905,
      0.03874058989979226,
      0.038059772515734065,
      0.03738972470979692,
      0.036730275898255865,
      0.03608125822796687,
      0.03544250660896212,
      0.034813858493699786,
      0.03419515393009338,
      0.03358623552280016,
      0.03298694828333674,
      0.03239713971852247,
      0.031816659884298756,
      0.03124536110535475,
      0.030683098079126628,
      0.030129727798277457,
      0.029585109494474397,
      0.029049104673613855,
      0.028521577032645823,
      0.028002392308529477,
      0.027491418472239525,
      0.02698852557524563,
      0.026493585953851227,
      0.026006473691611957,
      0.02552706492869401,
      0.025055237676121177,
      0.02459087205746076,
      0.024133850005100512,
      0.023684055319955447,
      0.02324137364300993,
      0.022805692459246654,
      0.022376901000747747,
      0.02195489029030905,
      0.021539553115336552,
      0.021130783907236737,
      0.020728478754100735,
      0.020332535260996383,
      0.01994285289957956,
      0.019559332639721375,
      0.019181876949789036,
      0.01881038996148585,
      0.01844477720241578,
      0.018084945823977527,
      0.017730804301110684,
      0.017382262690715224,
      0.017039232438203978,
      0.016701626393216918,
      0.01636935879841995,
      0.016042345220887967,
      0.015720502513728075,
      0.015403748865378071,
      0.015092003841549073,
      0.014785188171690023,
      0.014483223877057973,
      0.014186034193895827,
      0.013893543660682846,
      0.013605677974808935,
      0.013322364051063417,
      0.013043529906775871,
      0.012769104697733038,
      0.012499018592785226,
      0.012233203053618557,
      0.011971590578535404,
      0.011714114615695718,
      0.011460709785869133,
      0.01121131167024272,
      0.010965856938687447,
      0.010724283183975598,
      0.010486529169351564,
      0.010252534535556183,
      0.01002223974225991,
      0.00979558624167855,
      0.009572516496887116,
      0.009352973883271784,
      0.009136902536446922,
      0.00892424755917871,
      0.008714954939537974,
      0.008508971497992315,
      0.008306244895270768,
      0.008106723674741873,
      0.007910357136944879,
      0.007717095433389012,
      0.007526889491562379,
      0.007339690911688029,
      0.007155452196533578,
      0.006974126533028773,
      0.006795667933124972,
      0.006620030938818118,
      0.00644717099724477,
      0.006277044202907983,
      0.0061096073546756755,
      0.005944817913197332,
      0.005782633872153257,
      0.005623014076990619,
      0.005465918095055475,
      0.00531130603147486,
      0.0051591385380526985,
      0.005009376970416363,
      0.004861983350866542,
      0.004716920257433421,
      0.004574150766226571,
      0.004433638675405449,
      0.004295348203851976,
      0.004159244213513017,
      0.004025292166755938,
      0.0038934580480906697,
      0.003763708294380942,
      0.0036360099937335793,
      0.0035103308072877964,
      0.0033866387339866783,
      0.003264902373237106,
      0.0031450908331424002,
      0.003027173704945608,
      0.0029111209372290267,
      0.002796902997727925,
      0.0026844910054606643,
      0.0025738563821550713,
      0.0024649710007791058,
      0.0023578072596331916,
      0.0022523379357928543,
      0.002148536205499118,
      0.002046375710680062,
      0.0019458304361219566,
      0.0018468748430413996,
      0.0017494837812956482,
      0.0016536325244347425,
      0.0015592967741924204,
      0.001466452660831887,
      0.0013750764518604154,
      0.001285144999834549,
      0.001196635460551798,
      0.0011095252605791747,
      0.0010237924222568071,
      0.0009394151337697462,
      0.00085637186714943,
      0.0007746415927145925,
      0.0006942035691979407,
      0.00061503733889847,
      0.0005371227870005817,
      0.00046044016472011564,
      0.0003849700496284595,
      0.0003106931485719172,
      0.0002375906039303989,
      0.00016564386201328517,
      9.48346575511353e-05,
      2.5145037430725583e-05,
      -4.3442684442979556e-05,
      -0.00011094594560386492,
      -0.00017738196519674106,
      -0.00024276759557276864,
      -0.00030711936909898327,
      -0.00037045365857290717,
      -0.0004327865508191923,
      -0.0004941339034035745,
      -0.000554511279446517,
      -0.0006139340280708365,
      -0.0006724172746813421,
      -0.0007299758083209411,
      -0.0007866243182897954,
      -0.000842377126952138,
      -0.0008972484179391977,
      -0.0009512520947185454,
      -0.00100440188581944,
      -0.001056711348018581,
      -0.0011081937732534141,
      -0.0011588622789582394,
      -0.0012087296686297143,
      -0.001257808590431518,
      -0.0013061115357733265,
      -0.001353650754826736,
      -0.0014004382982738017,
      -0.0014464860646530866,
      -0.0014918057834179912,
      -0.001536408978255862,
      -0.0015803069996956694,
      -0.0016235109168871097,
      -0.001666031733011274,
      -0.0017078802182907001,
      -0.0017490669970056578,
      -0.0017896025191617042,
      -0.0018294971078482022,
      -0.0018687609298837667,
      -0.0019074039338637858,
      -0.0019454359592060004,
      -0.0019828667366741277,
      -0.002019705716584803,
      -0.002055962258632312,
      -0.0020916454841742858,
      -0.0021267645156091025,
      -0.0021613282702912635,
      -0.0021953455212615357,
      -0.0022288249250887755,
      -0.0022617749796806415,
      -0.0022942041020308115,
      -0.002326120515074062
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334894669413991,
      10.09411506658762,
      9.847287991222032,
      9.597174127471732,
      9.346188519555964,
      9.096422403601052,
      8.849615594354022,
      8.607144670356435,
      8.37002868911448,
      8.138945639112018,
      7.91426010485863,
      7.696067235484515,
      7.484242921135849,
      7.278495536917347,
      7.078415708284941,
      6.883522538213961,
      6.693302565308839,
      6.507241403369573,
      6.324850421246791,
      6.145684140464959,
      5.969352133107919,
      5.795518376793949,
      5.623913422804599,
      5.454350895235337,
      5.286724245784913,
      5.121002154039336,
      4.957223137749702,
      4.79550259089399,
      4.636039279946772,
      4.479126123586345,
      4.3250981829073885,
      4.174315767203326,
      4.0271600911356815,
      3.8840236501026144,
      3.745287132160019,
      3.611299509967988,
      3.4823679664236558,
      3.358750247130879,
      3.2406494677256874,
      3.128211397353116,
      3.021519421774322,
      2.9205823861732756,
      2.8253388803172257,
      2.7356442420678357,
      2.651292589230993,
      2.572045177815817,
      2.4976533472675833,
      2.427859610082121,
      2.3623964828093627,
      2.3009855040396214,
      2.243323476743292,
      2.18904097030487,
      2.1377725116256756,
      2.0891766434370633,
      2.0429309384061534,
      1.9987391333287106,
      1.9563612072248093,
      1.915600340721416,
      1.8762930134477163,
      1.8383085887656896,
      1.801537711603115,
      1.7658828919639804,
      1.731262091756291,
      1.697608223251208,
      1.664865040690896,
      1.6329842826001235,
      1.6019236729335307,
      1.5716455152393385,
      1.5421156993875842,
      1.5133029913953633,
      1.4851785222261253,
      1.4577156550798605,
      1.4308877738509513,
      1.4046696388634734,
      1.3790408754508503,
      1.3539838345982205,
      1.3294832642027767,
      1.30552467063004,
      1.2820928733154966,
      1.2591724965024405,
      1.236748275244852,
      1.214805242573069,
      1.1933288415544165,
      1.1723049870986273,
      1.1517200963838978,
      1.1315616945721079,
      1.111818557262851,
      1.0924799099247169,
      1.073535420538747,
      1.0549747492919466,
      1.0367876421777522,
      1.0189640392371548,
      1.0014941375796331,
      0.9843684265007455,
      0.9675777051509638,
      0.9511130875791848,
      0.934966000144625,
      0.9191281757068877,
      0.9035916445055864,
      0.8883487233034048,
      0.8733920045004803,
      0.8587143444229745,
      0.844308852062353,
      0.8301688777990464,
      0.8162880029591573,
      0.8026600295163722,
      0.7892789698269542,
      0.7761390372966354,
      0.7632346377760173,
      0.7505606266671494,
      0.7381123381563474,
      0.7258851070262118,
      0.7138742710170988,
      0.7020752196808067,
      0.6904834242018602,
      0.6790944552876352,
      0.6679039917693991,
      0.656907824357959,
      0.6461018576104475,
      0.635482108421767,
      0.625044703972855,
      0.6147858325109449,
      0.6047017563320468,
      0.5947888667625699,
      0.5850436731628575,
      0.5754627922841553,
      0.5660429394344649,
      0.556780922790454,
      0.5476736381803696,
      0.5387180649705178,
      0.5299112617530961,
      0.521250363280103,
      0.5127325777490755,
      0.5043551840030169,
      0.49611552835852785,
      0.4880110228591776,
      0.4800392656187002,
      0.47219858465833914,
      0.4644873847745859,
      0.4569037994856666,
      0.4494458094843831,
      0.44211131632882744,
      0.4348981892942012,
      0.427804294871093,
      0.420827515386824,
      0.4139657596018105,
      0.40721696963166554,
      0.400579124512671,
      0.394050290817635,
      0.38762882876619564,
      0.381313139759202,
      0.37510154047831273,
      0.3689923077035834,
      0.3629837062176722,
      0.35707400653009796,
      0.35126149592876327,
      0.3455444845981875,
      0.33992132444848777,
      0.3343905151655068,
      0.32895060602319937,
      0.3236001142069841,
      0.3183375479363357,
      0.31316142039947287,
      0.30807025861054727,
      0.30306261086553954,
      0.29813707409902396,
      0.293292276631251,
      0.28852679918055346,
      0.2838390271397161,
      0.2792274040206161,
      0.2746904872364227,
      0.2702269157911788,
      0.2658353893283297,
      0.26151465468426865,
      0.257263496962358,
      0.2530807331642597,
      0.24896520858718282,
      0.24491590735201055,
      0.24093220721566527,
      0.23701341012435864,
      0.233158683175549,
      0.22936711314231037,
      0.22563774166849798,
      0.22196958793419383,
      0.21836166291140108,
      0.21481297894275211,
      0.21132255545610681,
      0.20788942258274648,
      0.20451262354602473,
      0.20119121576810992,
      0.197924204777694,
      0.19471050413512034,
      0.19154893789867908,
      0.1884384199098158,
      0.18537796206578686,
      0.18236664544883383,
      0.17940360122412896,
      0.17648799813045885,
      0.1736190339478144,
      0.1707959300135805,
      0.16801792740623997,
      0.16528428455384575,
      0.16259427510815294,
      0.15994718706902292,
      0.15734232175081558,
      0.15477899314141588,
      0.1522565273400605,
      0.1497742621618478,
      0.14733154693978587,
      0.14492774212340043,
      0.14256221895960866,
      0.14023435933082784,
      0.13794355563041824,
      0.1356892103181425,
      0.1334707359758798,
      0.13128755497981054,
      0.12913909927775272,
      0.12702481028452314,
      0.12494413876134576,
      0.12289654456480667,
      0.12088149639846252,
      0.11889847183342865,
      0.11694695701345602,
      0.11502644667322333,
      0.11313644382768558,
      0.11127645959600402,
      0.10944601319821119,
      0.10764463164694489,
      0.10587184980213941,
      0.10412721014567594,
      0.10241026268350756,
      0.10072056466915755,
      0.09905768059278237,
      0.09742118211863099,
      0.0958106478683259,
      0.09422566325344968,
      0.09266582046464637,
      0.09113071835664799,
      0.08961996231219767,
      0.08813316401983855,
      0.08666994144874983,
      0.08522991883595774,
      0.08381272653004034,
      0.08241800084991223,
      0.08104538397426328,
      0.07969452381048406,
      0.07836507399475313,
      0.07705669369350389,
      0.07576904762512719,
      0.07450180597701457,
      0.07325464408180354,
      0.07202724254183951,
      0.07081928719061871,
      0.06963046887642681,
      0.06846048342988381,
      0.06730903143578122,
      0.06617581835720408,
      0.0650605543647338,
      0.06396295444149272,
      0.06288273797100656,
      0.06181962886619733,
      0.06077335541624332,
      0.05974365037213789,
      0.05873025069569478,
      0.05773289747691233,
      0.056751336178567785,
      0.05578531611130104,
      0.05483459065453952,
      0.05389891712706354,
      0.052978056726325384,
      0.052071774396304504,
      0.051179838932385154,
      0.05030202290951904,
      0.049438102319334765,
      0.04858785680907724,
      0.04775106961559904,
      0.04692752733195842,
      0.046117020023999734,
      0.045319340936504894,
      0.044534286819755846,
      0.04376165751809275,
      0.04300125619397133,
      0.04225288899526151,
      0.04151636522366202,
      0.04079149715566623,
      0.04007810016792978,
      0.039375992438083936,
      0.03868499524541679,
      0.03800493249713569,
      0.037335631037872026,
      0.036676920429978395,
      0.03602863291886228,
      0.03539060335458788,
      0.03476266919996801,
      0.034144670602657114,
      0.03353645021046075,
      0.03293785323799426,
      0.03234872733954292,
      0.03176892249162265,
      0.0311982910877878,
      0.030636687953886556,
      0.030083970162572915,
      0.029539996964880338,
      0.02900462990180128,
      0.02847773276575553,
      0.027959171437304378,
      0.02744881398419299,
      0.026946530571669996,
      0.026452193508508796,
      0.025965676881020125,
      0.0254868569194144,
      0.02501561181901343,
      0.024551821696276534,
      0.02409536852687002,
      0.02364613616733072,
      0.023204010352140064,
      0.022768878571051678,
      0.022340630137330904,
      0.021919156200062233,
      0.02150434950202968,
      0.02109610455816788,
      0.020694317477581287,
      0.020298886110331028,
      0.019909709825171387,
      0.019526689732725713,
      0.0191497284634489,
      0.01877873008505364,
      0.018413600165743914,
      0.01805424588749788,
      0.017700576007055612,
      0.017352500536305434,
      0.017009930841433537,
      0.01667277984261644,
      0.016340961806147244,
      0.016014392472995593,
      0.015692988721987492,
      0.015376668848471511,
      0.01506535239021331,
      0.014758960136424455,
      0.014457414300539031,
      0.014160638151735905,
      0.013868556273803585,
      0.013581094352300042,
      0.013298179328248672,
      0.013019739334191349,
      0.012745703546071137,
      0.012476002274515145,
      0.012210566837714024,
      0.011949329839117926,
      0.011692224890317024,
      0.011439186554352668,
      0.011190150495993336,
      0.010945053452066963,
      0.010703833174171848,
      0.010466428248089221,
      0.0102327783745066,
      0.01000282408140608,
      0.009776506955265756,
      0.00955376951373628,
      0.00933455495438163,
      0.009118807740069042,
      0.008906472980020173,
      0.008697496659761729,
      0.008491825690150528,
      0.008289407737049025,
      0.008090191365864354,
      0.00789412592250466,
      0.007701161595389982,
      0.007511249340853261,
      0.007324340887765589,
      0.007140388770971975,
      0.006959346195671727,
      0.006781167038346017,
      0.0066058060474900385,
      0.006433218704146122,
      0.006263361110648667,
      0.00609619004129501,
      0.005931663045937029,
      0.005769738308939439,
      0.005610374618650803,
      0.005453531510930824,
      0.005299169046703346,
      0.005147248088015104,
      0.00499773005505857,
      0.004850576946639105,
      0.004705751197208128,
      0.004563216083159663,
      0.004422935387542475,
      0.004284873410795612,
      0.004148995040427625,
      0.004015265778468844,
      0.003883651727164385,
      0.0037541193412162594,
      0.0036266356715948483,
      0.0035011683313772085,
      0.003377685527938771,
      0.0032561557598046104,
      0.0031365481448266627,
      0.003018832209632801,
      0.00290297811342358,
      0.002788956404000083,
      0.0026767380866236654,
      0.002566294662655706,
      0.002457598081478599,
      0.0023506206683688692,
      0.002245335206780431,
      0.0021417149523188304,
      0.0020397336422602313,
      0.0019393653160989064,
      0.0018405844871794224,
      0.0017433660109540975,
      0.001647685081558592,
      0.001553517471498979,
      0.001460839296729872,
      0.0013696269802021925,
      0.001279857318088991,
      0.00119150754164855,
      0.0011045551702689987,
      0.0010189781080772813,
      0.0009347545696560958,
      0.0008518630708278445,
      0.0007702826561661999,
      0.0006899925557730161,
      0.0006109723137847641,
      0.0005332019495800453,
      0.00045666168878014834,
      0.0003813320445855318,
      0.00030719377286176117,
      0.000234228076792609,
      0.00016241642467909286,
      9.174057262900487e-05,
      2.2182569524964392e-05,
      -4.6275275608589756e-05,
      -0.00011365035471134668,
      -0.00017995980997423546,
      -0.00024522047383450645,
      -0.00030944895419726095,
      -0.000372661661573946,
      -0.000434874625176057,
      -0.0004961036705844675,
      -0.0005563642463606522,
      -0.0006156716184085066,
      -0.0006740409362420887,
      -0.0007314870505585096,
      -0.0007880245589898971,
      -0.000843667869806483,
      -0.0008984310867324441,
      -0.000952328095917072,
      -0.0010053726333216016,
      -0.001057578205176355,
      -0.001108958096298138,
      -0.0011595253967888934,
      -0.0012092929517469415,
      -0.0012582733736238448,
      -0.001306479053349862,
      -0.001353922349081246,
      -0.0014006152529486367,
      -0.0014465696162966508,
      -0.0014917971708141276,
      -0.0015363094473134652,
      -0.0015801176555767134,
      -0.0016232331102325821,
      -0.0016656666578924242,
      -0.001707429076066638,
      -0.0017485308991598426,
      -0.0017889826189462477,
      -0.0018287944649863575,
      -0.0018679765909175956,
      -0.001906539038080939,
      -0.001944491533147516,
      -0.0019818437809280063,
      -0.0020186052478418717,
      -0.002054785358225565,
      -0.0020903932132514615,
      -0.0021254379574138066,
      -0.002159928299098417,
      -0.002193873130293477,
      -0.002227281141223317,
      -0.0022601607976207175,
      -0.0022925203865108742,
      -0.0023243680677661463
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334891098535381,
      10.094102675155561,
      9.847260872456312,
      9.597127669878283,
      9.346119488822307,
      9.09632864859409,
      8.849495803449193,
      8.606998156778369,
      8.369855372463302,
      8.138745777774197,
      7.9140340819646005,
      7.695815471406693,
      7.4839658193593275,
      7.278193455711597,
      7.078088956096932,
      6.883171364711429,
      6.692927202835559,
      6.506842111221096,
      6.324427526626606,
      6.14523812631705,
      5.968883689333339,
      5.795028454950434,
      5.623403188172985,
      5.453821759250982,
      5.286177944128189,
      5.120440589878095,
      4.956648317319083,
      4.794916813360747,
      4.63544554541154,
      4.478527951699715,
      4.324499073960871,
      4.173719223198397,
      4.026569644257889,
      3.883442825936448,
      3.7447192069129183,
      3.6107474597900877,
      3.481834420499092,
      3.3582374531417534,
      3.2401592701943054,
      3.1277452285591814,
      3.0210781575975343,
      2.9201664041704634,
      2.8249479555117905,
      2.7352776173233977,
      2.650948944739322,
      2.571722810051174,
      2.4973504492411807,
      2.4275742828459945,
      2.3621267055738806,
      2.3007291776161827,
      2.243078321554071,
      2.1888044439907013,
      2.137542415811462,
      2.088950992088859,
      2.042707902619927,
      1.998517134987185,
      1.9561389761475578,
      1.9153768962402538,
      1.8760676625275865,
      1.8380808398042991,
      1.8013071869495612,
      1.7656492752872703,
      1.7310251877308391,
      1.6973679209928643,
      1.6646212882297944,
      1.6327370686884286,
      1.6016730141395998,
      1.571391447689619,
      1.5418582718121372,
      1.513042261111486,
      1.4849145524862069,
      1.4574485483206143,
      1.4306176575969483,
      1.4043966985826448,
      1.3787654076635236,
      1.353706167193301,
      1.329203814365207,
      1.305243726395479,
      1.2818106387303874,
      1.258889120077458,
      1.2364638686772955,
      1.2145198930961714,
      1.1930426203058875,
      1.1720179544769456,
      1.1514323060726777,
      1.1312732158196601,
      1.1115294575082886,
      1.092190256860816,
      1.0732452760870534,
      1.0546841663174435,
      1.0364966679006742,
      1.0186727166465754,
      1.0012025068846777,
      0.984076526316107,
      0.9672855727057695,
      0.9508207590174771,
      0.934673510867405,
      0.9188355602969869,
      0.9032989369996913,
      0.8880559576071226,
      0.8730992136757455,
      0.858421561034133,
      0.8440161083598314,
      0.829876205640149,
      0.8159954336687394,
      0.8023675937888756,
      0.7889866980516168,
      0.7758469594159282,
      0.7629427869498022,
      0.7502691601684228,
      0.7378214151911128,
      0.7255948369909972,
      0.7135847307890256,
      0.7017864652662124,
      0.6901954982741169,
      0.6788073912957568,
      0.667617816994029,
      0.6566225622290739,
      0.6458175286567647,
      0.635198731457745,
      0.624762296865143,
      0.6145044109492696,
      0.6044213351307336,
      0.5945094606920561,
      0.5847652966296467,
      0.5751854591038514,
      0.5657666635370652,
      0.5565057179014358,
      0.5473995176474049,
      0.5384450416330081,
      0.5296393482871026,
      0.5209795720534589,
      0.5124629206437462,
      0.50408667233182,
      0.4958481731051633,
      0.48774483475886227,
      0.4797743002459832,
      0.47193495747091146,
      0.4642251698285587,
      0.4566430446683466,
      0.4491865459912637,
      0.4418535647204538,
      0.4346419631708894,
      0.42754960347581217,
      0.42057436481450056,
      0.413714153840377,
      0.40696691123458073,
      0.4003306148809205,
      0.3938033436974256,
      0.38738347494991326,
      0.3810693978355076,
      0.37485942110436,
      0.3687518164417083,
      0.3627448454089889,
      0.3568367765933341,
      0.3510258956816503,
      0.34531051171009974,
      0.33968898163262384,
      0.33415981200531175,
      0.32872154670519066,
      0.32337269945844244,
      0.3181117762460371,
      0.3129372886293671,
      0.3078477626627049,
      0.30284174700370553,
      0.29791783960946894,
      0.29307466728986287,
      0.28831081163555755,
      0.2836246600378882,
      0.2790146541881916,
      0.2744793501773155,
      0.2700173861524957,
      0.26562746129694487,
      0.2613083221893249,
      0.2570587535313432,
      0.25287757232289587,
      0.24876362340515223,
      0.244715904322488,
      0.2407337937222124,
      0.2368165878553527,
      0.23296345007410152,
      0.22917346478123396,
      0.22544567192773377,
      0.22177908950530692,
      0.2181727278346705,
      0.21462559875848744,
      0.21113672142963802,
      0.2077051256469824,
      0.20432985445826873,
      0.2010099652903514,
      0.1977444592255372,
      0.1945323065177542,
      0.19137239738059236,
      0.1882636027460051,
      0.18520490664813716,
      0.1821953720784104,
      0.17923411830215977,
      0.17632030619111722,
      0.17345312842652671,
      0.17063180294529579,
      0.16785556881749644,
      0.16512368280307885,
      0.16243541770250164,
      0.1597900609680899,
      0.15718691357897352,
      0.15462528926430194,
      0.15210451386324403,
      0.1496239252080559,
      0.14718287258814355,
      0.1447807165326567,
      0.14241682829376082,
      0.1400905898120003,
      0.13780139341271483,
      0.13554864159023253,
      0.13333174702507727,
      0.13115013207777115,
      0.12900322879501033,
      0.1268904786203758,
      0.12481133227999786,
      0.12276524974076095,
      0.12075169988575386,
      0.11877016029979173,
      0.11682011722883857,
      0.11490106543283037,
      0.11301250790047475,
      0.11115395588904127,
      0.10932492858389323,
      0.10752495317199477,
      0.10575356455298617,
      0.10401030527967323,
      0.1022947252754311,
      0.1006063819452056,
      0.09894483993607925,
      0.0973096708904086,
      0.09570045343905648,
      0.09411677323089816,
      0.09255822245833024,
      0.09102439999668187,
      0.08951491133782184,
      0.08802936818390096,
      0.08656738873381371,
      0.08512859727351954,
      0.08371262427111054,
      0.08231910610545594,
      0.08094768505449484,
      0.0795980089478224,
      0.07826973144676887,
      0.07696251178510267,
      0.07567601490208847,
      0.07440991097575875,
      0.07316387554432635,
      0.07193758926188705,
      0.07073073799404317,
      0.06954301268751736,
      0.06837410914361204,
      0.06722372808295406,
      0.06609157508495615,
      0.06497736045623367,
      0.06388079914165068,
      0.06280161061742279,
      0.06173951893147025,
      0.06069425244883739,
      0.059665543892957,
      0.05865313036493448,
      0.05765675312786751,
      0.05667615757839146,
      0.05571109316045883,
      0.054761313351346506,
      0.053826575510304224,
      0.052906640935613335,
      0.05200127472340459,
      0.05111024575527672,
      0.05023332657905779,
      0.049370293278223475,
      0.0485209256757251,
      0.04768500698904799,
      0.04686232388934369,
      0.04605266650025452,
      0.045255828219223825,
      0.04447160587255931,
      0.04369979939988739,
      0.04294021191940027,
      0.04219264978607119,
      0.041456922318996225,
      0.040732841860896415,
      0.04002022385902828,
      0.03931888673191214,
      0.038628651610726816,
      0.03794934261612489,
      0.03728078663708815,
      0.03662281328631704,
      0.03597525482440129,
      0.035337946266093524,
      0.034710725137742426,
      0.034093431644797285,
      0.03348590858928276,
      0.032888001099804276,
      0.032299556968760024,
      0.03172042626147755,
      0.031150461462466868,
      0.030589517344660942,
      0.030037451070018092,
      0.029494122044996594,
      0.02895939194373148,
      0.028433124562016396,
      0.02791518585095928,
      0.027405443914659638,
      0.02690376902892486,
      0.026410033471121287,
      0.025924111485102253,
      0.025445879374541416,
      0.024975215413531666,
      0.024511999726568146,
      0.024056114360238794,
      0.023607443228773006,
      0.023165872104931054,
      0.022731288669291888,
      0.022303582197706628,
      0.021882643903940936,
      0.021468366583817036,
      0.021060644837645595,
      0.020659374994952042,
      0.020264454924752054,
      0.019875784004278606,
      0.019493263399387173,
      0.019116795696383002,
      0.018746285054683034,
      0.018381637168533263,
      0.01802275935567236,
      0.017669560206656405,
      0.017321949818443087,
      0.016979839785483678,
      0.01664314312676219,
      0.01631177407854423,
      0.015985648298942293,
      0.015664682842549262,
      0.015348796007129299,
      0.015037907471276191,
      0.014731938138689402,
      0.014430810088641397,
      0.014134446741503326,
      0.013842772691788201,
      0.013555713743450297,
      0.013273196796869842,
      0.01299515008391465,
      0.012721502797454176,
      0.012452185239863736,
      0.012187129007649285,
      0.011926266634152293,
      0.011669531789184546,
      0.011416859114444095,
      0.011168184335872987,
      0.010923444240759122,
      0.010682576448691826,
      0.010445519783994101,
      0.010212213908510534,
      0.009982599428348166,
      0.009756617991665403,
      0.009534212066037596,
      0.009315325119938074,
      0.009099901426318776,
      0.008887886333934988,
      0.00867922576642575,
      0.008473866557268672,
      0.008271756572010512,
      0.008072844344543084,
      0.007877079384267672,
      0.007684411767891363,
      0.007494792573265055,
      0.007308173528303289,
      0.007124507209740304,
      0.006943746888798487,
      0.006765846564066081,
      0.006590760997225854,
      0.006418445643650762,
      0.0062488566875253245,
      0.006081950946228829,
      0.005917685968016712,
      0.005756019935352336,
      0.005596911717088538,
      0.005440320866097235,
      0.00528620755577018,
      0.005134532601995839,
      0.004985257506550435,
      0.004838344229630065,
      0.0046937553649668675,
      0.004551454145552116,
      0.004411404458578225,
      0.004273570582511855,
      0.004137917473416708,
      0.004004410582645814,
      0.0038730160139698543,
      0.0037437004094559787,
      0.0036164308950426952,
      0.0034911749704887823,
      0.003367900750728707,
      0.0032465769871072065,
      0.0031271728428248734,
      0.0030096578736433675,
      0.0028940021506394437,
      0.002780176351935623,
      0.0026681514377219434,
      0.002557898905334365,
      0.00244939084299941,
      0.002342599539986481,
      0.0022374978107341003,
      0.002134058957829263,
      0.0020322566929321523,
      0.0019320650141980218,
      0.0018334586068304906,
      0.0017364123812672594,
      0.0016409016544670948,
      0.0015469020529247036,
      0.0014543896461108013,
      0.001363341005214999,
      0.0012737329393465403,
      0.0011855426271367825,
      0.0010987476479665749,
      0.001013325906743673,
      0.0009292556808062812,
      0.0008465156235067432,
      0.0007650847060421004,
      0.0006849421984085413,
      0.0006060676898148803,
      0.0005284411358029034,
      0.00045204276046516615,
      0.00037685308691292555,
      0.00030285305161919927,
      0.00023002388506963075,
      0.00015834700002922048,
      8.780414111002118e-05,
      1.837737037931236e-05,
      -4.995099676739842e-05,
      -0.00011719832734130713,
      -0.00018338174545999585,
      -0.00024851798318502983,
      -0.0003126236625544477,
      -0.00037571512520352386,
      -0.0004378083760291221,
      -0.0004989192477649843,
      -0.0005590632212735461,
      -0.0006182556007469117,
      -0.0006765114531285246,
      -0.0007338455017495194,
      -0.0007902724704380831,
      -0.00084580667696404,
      -0.0009004622546412252,
      -0.0009542530805605374,
      -0.0010071928300592605,
      -0.0010592949923346497,
      -0.0011105727642535977,
      -0.0011610391594722555,
      -0.0012107070404156826,
      -0.0012595891943371473,
      -0.0013076980333860879,
      -0.0013550457009596755,
      -0.0014016442017857989,
      -0.00144750542373868,
      -0.001492641006372827,
      -0.0015370624565935308,
      -0.0015807810856773186,
      -0.001623807964529438,
      -0.0016661541709029914,
      -0.0017078303556708732,
      -0.001748847198206677,
      -0.0017892150920745405,
      -0.0018289442556613763,
      -0.0018680447914708478,
      -0.0019065267640755155,
      -0.0019443998768069587,
      -0.0019816738282059164,
      -0.002018358114427952,
      -0.002054461952190334,
      -0.002089994404034932,
      -0.0021249646110876813,
      -0.0021593814662092987,
      -0.0021932538399140993,
      -0.002226590284349412,
      -0.002259399365897594,
      -0.0022916893743215763,
      -0.0023234685526491807
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334887530402648,
      10.094090280259762,
      9.847233728267401,
      9.59708115078585,
      9.346050354104175,
      9.096234741798876,
      8.849375807039042,
      8.606851399416477,
      8.369681787059182,
      8.138545612191718,
      7.913807709900581,
      7.695563308353671,
      7.483688266346935,
      7.277890869932518,
      7.0777616454078425,
      6.8828195777108885,
      6.692551169255082,
      6.506442091339106,
      6.3240038483421674,
      6.144791272332057,
      5.968414349608147,
      5.794537580013035,
      5.6228919431990505,
      5.45329155201215,
      5.285630507774858,
      5.119877831853067,
      4.956072247823171,
      4.794329736218294,
      4.634850467854137,
      4.477928401673257,
      4.323898559256419,
      4.1731212518479355,
      4.025977754242041,
      3.8828605487992256,
      3.74414982354472,
      3.61019395064437,
      3.4812994197895573,
      3.3577232136871205,
      3.239667640237148,
      3.1272776436190766,
      3.0206354950258247,
      2.919749043366716,
      2.824555674031178,
      2.7349096609661907,
      2.650603995133681,
      2.571399164256312,
      2.4970463012688158,
      2.4272877349350286,
      2.3618557376239906,
      2.300471690865776,
      2.2428320367766776,
      2.188566818561867,
      2.137311251680429,
      2.088724303675852,
      2.042483860434051,
      1.9982941596977282,
      1.9559157973102794,
      1.9151525323202305,
      1.8758414191080786,
      1.8378522241366502,
      1.8010758194908159,
      1.7654148381738284,
      1.730787484575317,
      1.6971268400241044,
      1.6643767766724291,
      1.632489114985393,
      1.6014216351046375,
      1.5711366790864212,
      1.5416001619663817,
      1.5127808669520704,
      1.4846499363400183,
      1.457180811829022,
      1.4303469274216043,
      1.4041231596219677,
      1.3784893561164284,
      1.3534279304224777,
      1.3289238090839128,
      1.304962240430643,
      1.2815278756783763,
      1.2586052281685245,
      1.2361789593998662,
      1.2142340538041017,
      1.1927559224383457,
      1.1717304588677158,
      1.1511440662151013,
      1.1309843009639817,
      1.111239934527437,
      1.091900192823967,
      1.0729547319819472,
      1.0543931947329823,
      1.0362053158299795,
      1.0183810271057365,
      1.000910520264703,
      0.983784281112743,
      0.9669931061373668,
      0.9505281069203604,
      0.9343807083946853,
      0.9185426421504099,
      0.9030059370926056,
      0.8877629091755899,
      0.8728061497871566,
      0.8581285142728341,
      0.8437231107581241,
      0.829583288497714,
      0.8157026282272364,
      0.8020749306769501,
      0.7886942072802012,
      0.7755546707962222,
      0.7626507961915742,
      0.7499776525361286,
      0.7375305162996615,
      0.7253046342838475,
      0.7132952874112563,
      0.701497828088126,
      0.6899077035464485,
      0.678520468333262,
      0.6673317906598455,
      0.6563374545585837,
      0.6455333594720821,
      0.6349155190692916,
      0.6244800583787438,
      0.6142231613914928,
      0.6041410888743828,
      0.5942302322105301,
      0.5844871003282408,
      0.5749083094238269,
      0.5654905743143194,
      0.5562307026072373,
      0.5471255894938214,
      0.5381722134420264,
      0.529367632530183,
      0.5207089808329612,
      0.5121934656160374,
      0.5038183649796496,
      0.49558102451979336,
      0.4874788556704974,
      0.4795095457806952,
      0.4716715430579289,
      0.46396316963524387,
      0.4563825069352711,
      0.44892750212867133,
      0.4415960351622554,
      0.43438596143063074,
      0.4272951384185541,
      0.4203214421951896,
      0.41346277762322725,
      0.4067170840368367,
      0.40008233843274743,
      0.3935566317048878,
      0.38713835779569045,
      0.380825893708782,
      0.3746175405515553,
      0.3685115651775647,
      0.3625062259866263,
      0.3565997891693904,
      0.35079053903666807,
      0.3450767837130445,
      0.33945688497617804,
      0.3339293562863507,
      0.32849273603068596,
      0.32314553440817667,
      0.31788625499057266,
      0.31271340820251003,
      0.30762551895422807,
      0.302621136144561,
      0.2976988586064358,
      0.2928573119115843,
      0.288095078553278,
      0.28341054778673086,
      0.27880215952486903,
      0.27426846871852445,
      0.2698081127768587,
      0.265419790237319,
      0.2611022472734624,
      0.2568542683044801,
      0.2526746700152574,
      0.24856229726539772,
      0.2445161610651608,
      0.2405356404736262,
      0.23662002610156027,
      0.23276847775008033,
      0.22898007727652922,
      0.22525386300494482,
      0.22158885193138425,
      0.2179840535998397,
      0.2144384794693193,
      0.21095114829226455,
      0.20752108967692676,
      0.2041473464337651,
      0.20082897579277287,
      0.19756497459441158,
      0.19435431435529205,
      0.1911959829404422,
      0.18808886106031397,
      0.18503189508784154,
      0.18202412327738812,
      0.17906464878689046,
      0.17615262181878422,
      0.1732872280830788,
      0.17046768097568374,
      0.16769321648372235,
      0.164963089513526,
      0.16227657164179732,
      0.15963294939722955,
      0.1570315232712814,
      0.15447160665888976,
      0.1519525253057435,
      0.14947361687223742,
      0.14703423048557912,
      0.14463372657837126,
      0.14227147649191949,
      0.13994686219948838,
      0.1376592761107778,
      0.13540812083693207,
      0.1331928090102855,
      0.1310127630387405,
      0.12886741495245652,
      0.12675620634960358,
      0.12467858804026245,
      0.12263401998589063,
      0.12062197106964757,
      0.11864191892630294,
      0.11669334985677625,
      0.11477575863633459,
      0.1128886484518578,
      0.1110315306243065,
      0.10920392438892929,
      0.10740535699400958,
      0.10563536345664634,
      0.10389348636344527,
      0.10217927573413292,
      0.1004922890055837,
      0.09883209088771332,
      0.0971982531485068,
      0.09559035453115856,
      0.09400798065653848,
      0.09245072388566135,
      0.09091818310959458,
      0.08940996388031804,
      0.08792567803635523,
      0.08646494372237026,
      0.08502738535769876,
      0.08361263337542632,
      0.08222032410051172,
      0.08085010000151976,
      0.07950160909891596,
      0.07817450525857414,
      0.07686844782521209,
      0.07558310172054795,
      0.07431813712590443,
      0.07307322948921963,
      0.0718480596014148,
      0.0706423135111831,
      0.06945568217896057,
      0.06828786151741276,
      0.06713855247267088,
      0.06600746068772712,
      0.064894296434649,
      0.06379877476100385,
      0.06272061524626145,
      0.06165954187090005,
      0.060615283225726645,
      0.059587572248718496,
      0.058576145876064724,
      0.05758074549398678,
      0.05660111661774228,
      0.05563700875184674,
      0.05468817548782523,
      0.0537543742926058,
      0.05283536648650654,
      0.05193091735659766,
      0.05104079580779205,
      0.0501647744536037,
      0.04930262944455491,
      0.048454140560603876,
      0.04761909123536089,
      0.04679726816080302,
      0.045988461604659484,
      0.04519246498702395,
      0.04440907511830181,
      0.04363809213787805,
      0.04287931921450885,
      0.042132562719296364,
      0.04139763220411108,
      0.040674340102642696,
      0.03996250178628831,
      0.039261935726397586,
      0.038572463229298276,
      0.03789390851976375,
      0.03722609854599947,
      0.03656886289689222,
      0.03592203391373133,
      0.035285446796700384,
      0.034658939111730035,
      0.034042351041090005,
      0.03343552546604846,
      0.0328383077607121,
      0.03225054565299051,
      0.0316720893681701,
      0.03110279140009794,
      0.03054250666058987,
      0.02999109235769219,
      0.029448407978849973,
      0.02891431519341469,
      0.028388677922691816,
      0.027871362119856736,
      0.027362235983831522,
      0.026861169914674847,
      0.02636803617227896,
      0.02588270915926116,
      0.0254050652413457,
      0.02493498267103601,
      0.02447234163908292,
      0.024017024270131176,
      0.023568914613285596,
      0.023127898582397634,
      0.02269386380881124,
      0.022266699659381207,
      0.02184629738862282,
      0.02143254984664794,
      0.02102535167644296,
      0.020624599187744015,
      0.0202301902816344,
      0.019842024585040332,
      0.019460003286617403,
      0.01908402906134247,
      0.01871400619821784,
      0.01834984041611638,
      0.01799143890143081,
      0.017638710459681038,
      0.017291565215403315,
      0.016949914845257347,
      0.016613672346265124,
      0.016282752063891896,
      0.015957069807880413,
      0.015636542547560466,
      0.015321088659147723,
      0.015010627980968708,
      0.014705081390890211,
      0.014404371062483214,
      0.014108420426931887,
      0.01381715409552661,
      0.013530497996536495,
      0.013248379059219691,
      0.012970725487322792,
      0.012697466572752036,
      0.012428532838117448,
      0.012163855808747862,
      0.011903368119544596,
      0.011647003269805518,
      0.011394696055737681,
      0.011146382321067762,
      0.010901998872338519,
      0.010661483508482533,
      0.01042477501867339,
      0.010191813082829695,
      0.00996253839763259,
      0.009736892558237085,
      0.009514818185515065,
      0.009296258675343134,
      0.009081158428365266,
      0.008869462663409575,
      0.00866111753353718,
      0.00845606999724282,
      0.008254267884038569,
      0.00805565982950547,
      0.007860195252095664,
      0.00766782435178012,
      0.00747849816255084,
      0.007292168462130324,
      0.007108787849934656,
      0.00692830966269185,
      0.00675068796339811,
      0.006575877551534911,
      0.0064038339894026295,
      0.006234513434079728,
      0.006067872821422931,
      0.005903869652802557,
      0.0057424622161559875,
      0.00558360946676338,
      0.005427270961681839,
      0.005273406777276222,
      0.005121977810582245,
      0.004972945581206078,
      0.004826272175747969,
      0.0046819202072876575,
      0.004539852922896036,
      0.004400034103871018,
      0.004262428127313852,
      0.004127000029763581,
      0.003993715331640005,
      0.003862540169340612,
      0.0037334411240019265,
      0.0036063853702336763,
      0.003481340534552513,
      0.003358274816321816,
      0.0032371569075362004,
      0.003117956003575324,
      0.0030006416948051193,
      0.002885184247674429,
      0.0027715541068692334,
      0.002659722339270472,
      0.002549660557945215,
      0.002441340722105326,
      0.002334735268542408,
      0.0022298170732918685,
      0.0021265594662409257,
      0.0020249361071064675,
      0.001924921117569384,
      0.0018264890942376057,
      0.0017296149833032457,
      0.0016342741285906841,
      0.0015404422255894917,
      0.0014480954105585235,
      0.0013572102431954457,
      0.0012677635764605463,
      0.0011797324720146112,
      0.001093094638160673,
      0.0010078280115301042,
      0.0009239108868436424,
      0.0008413219905741236,
      0.0007600402066358852,
      0.0006800448625946438,
      0.0006013156420281718,
      0.0005238325492301386,
      0.0004475757289946251,
      0.0003725257258625221,
      0.00029866356037665964,
      0.00022597049542424235,
      0.00015442792464117526,
      8.401759840868543e-05,
      1.4721634717779634e-05,
      -5.347759552185308e-05,
      -0.0001205973849211777,
      -0.0001866547829910463,
      -0.0002516665995763929,
      -0.00031564945793782534,
      -0.0003786196883799063,
      -0.0004405933033147932,
      -0.0005015860791736707,
      -0.0005616134911245299,
      -0.0006206907993263681,
      -0.0006788330323729042,
      -0.0007360550654840589,
      -0.0007923714753738014,
      -0.0008477965528587248,
      -0.0009023443971086442,
      -0.0009560289520762654,
      -0.0010088637748895126,
      -0.0010608623943987754,
      -0.0011120380717150637,
      -0.001162403775865727,
      -0.0012119723111015813,
      -0.0012607563990025105,
      -0.001308768378555924,
      -0.0013560203944589905,
      -0.0014025245657426123,
      -0.0014482928170782988,
      -0.0014933367283165653,
      -0.0015376676881449895,
      -0.0015812969451312634,
      -0.001624235728391603,
      -0.0016664948906467626,
      -0.001708085237251154,
      -0.0017490173267142143,
      -0.0017893016205991234,
      -0.0018289483335407286,
      -0.0018679675559991383,
      -0.0019063691796079034,
      -0.0019441629677408958,
      -0.0019813585045835988,
      -0.0020179653028108203,
      -0.002053992688418009,
      -0.002089449888178746,
      -0.00212434588765004,
      -0.002158689695512522,
      -0.002192489927272734,
      -0.0022257552462905316,
      -0.0022584940733301855,
      -0.002290714714971629,
      -0.0023224254534866856
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334883957794766,
      10.094077862340288,
      9.847206527070062,
      9.597034528283448,
      9.345981057650613,
      9.096140605374874,
      8.849255505881814,
      8.606704277240743,
      8.369507791062569,
      8.138344983189684,
      7.9135808212279155,
      7.695310573407048,
      7.483410082244378,
      7.27758759116004,
      7.077433577327188,
      6.882466967278895,
      6.692174247235487,
      6.506041116887179,
      6.323579148628239,
      6.1443433289856815,
      5.967943853463107,
      5.794045474564527,
      5.622379389113603,
      5.4527599483098,
      5.28508158229844,
      5.119313499900922,
      4.9554945279675415,
      4.793740942269823,
      4.63425361547706,
      4.477327028166771,
      4.323296183073821,
      4.172521391501695,
      4.0253839576994785,
      3.8822763559432487,
      3.7435785241394686,
      3.609638533369796,
      3.4807625252574352,
      3.35720709944222,
      3.239174159174737,
      3.126808235215958,
      3.0201910400058383,
      2.9193299238936583,
      2.824161669253411,
      2.7345400159511386,
      2.6502573913815293,
      2.57107389954728,
      2.4967405566829957,
      2.4269996010624357,
      2.361583199259778,
      2.3002126543546066,
      2.242584228384492,
      2.1883276991993528,
      2.137078625773551,
      2.088496187261776,
      2.0422584243196304,
      1.9980698236579058,
      1.9556912896818988,
      1.914926871769056,
      1.875613911655881,
      1.8376223767814974,
      1.8008432523940816,
      1.765179232154757,
      1.7305486415315177,
      1.6968846473046986,
      1.6641311806045485,
      1.6322401029043239,
      1.6011692222624447,
      1.5708809000039352,
      1.5413410648173669,
      1.5125185079855303,
      1.4843843769884404,
      1.456912153344694,
      1.4300752966916825,
      1.4038487728131948,
      1.3782124973938328,
      1.3531489199424047,
      1.3286430582336537,
      1.3046800330871708,
      1.2812444127662788,
      1.2583206562230569,
      1.2358933887885193,
      1.2139475710326317,
      1.1924685977128748,
      1.1714423518648365,
      1.1508552297059096,
      1.1306948030484154,
      1.1109498419773813,
      1.0916095730497863,
      1.072663645944751,
      1.0541016948338424,
      1.0359134486136963,
      1.0180888353904765,
      1.0006180443945356,
      0.9834915590794069,
      0.9667001744027381,
      0.9502350010248288,
      0.934087463301585,
      0.918249292122932,
      0.9027125159683246,
      0.8874694501231903,
      0.8725126857143918,
      0.8578350773609252,
      0.8434297326985339,
      0.8292900010755108,
      0.8154094623190246,
      0.80178191676482,
      0.788401375625997,
      0.7752620511235456,
      0.762358487500443,
      0.7496858387275859,
      0.7372393220598957,
      0.7250141466108727,
      0.7130055684699597,
      0.701208924478882,
      0.6896196514513249,
      0.6782332971236679,
      0.6670455249497101,
      0.6560521158786558,
      0.6452489673672734,
      0.634632091596343,
      0.6241976123365489,
      0.6139417119037447,
      0.6038606503837831,
      0.5939508190558115,
      0.58420872677883,
      0.574630989350983,
      0.5652143215156332,
      0.555955530513018,
      0.5468515112471681,
      0.5378992417173087,
      0.5290957795468996,
      0.5204382587181072,
      0.5119238862514827,
      0.5035499395116989,
      0.49531376413348094,
      0.48721277111081523,
      0.4792447301626009,
      0.4714080965761581,
      0.4637011571907589,
      0.45612197085588024,
      0.4486684698717096,
      0.44133852472258595,
      0.434129984675764,
      0.42704070322755383,
      0.42006855399362786,
      0.4132114399637344,
      0.4064672991432252,
      0.3998341078112738,
      0.3933099738420406,
      0.3868933011673641,
      0.38058245541422214,
      0.3743757305021312,
      0.36827138844708024,
      0.3622676845817256,
      0.35636288307236486,
      0.3505552668304183,
      0.3448431430070979,
      0.33922487814074315,
      0.3336989927989653,
      0.32826401985241715,
      0.3229184660982604,
      0.3176608330282983,
      0.31248962924235085,
      0.3074033788482017,
      0.302400631111012,
      0.2974799856483925,
      0.29264006679170057,
      0.2878794579348716,
      0.28319655015632117,
      0.27858978152500313,
      0.2740577058739027,
      0.2695989597691508,
      0.2652122414546864,
      0.26089629664441333,
      0.2566499094083893,
      0.2524718961006268,
      0.2483611013161907,
      0.24431654957800827,
      0.24033762041556767,
      0.23642359898455967,
      0.23257364135118289,
      0.2287868269611551,
      0.22506219260712138,
      0.2213987541815064,
      0.21779552057252907,
      0.21425150263335196,
      0.2107657187095468,
      0.20733719827518732,
      0.20396498399759597,
      0.20064813230469272,
      0.19738563600124695,
      0.19417646702891703,
      0.1910196587366272,
      0.18791416901234226,
      0.18485890799904883,
      0.18185288387734155,
      0.17889518005362293,
      0.17598493384076253,
      0.17312132249846204,
      0.170303553953977,
      0.16753086053414257,
      0.16480249471279887,
      0.16211772657186846,
      0.15947584163774794,
      0.15687613969019804,
      0.15431793373200806,
      0.15180054933211784,
      0.14932332399084808,
      0.14688560686294805,
      0.14448675827126514,
      0.14212614955080977,
      0.13980316268248041,
      0.13751719008446728,
      0.1352676343892054,
      0.133053908263261,
      0.1308754341483333,
      0.1287316441904976,
      0.12662197997616617,
      0.12454589233468312,
      0.12250284125814745,
      0.12049229572893477,
      0.11851373356876481,
      0.11656664112454228,
      0.11465051321030009,
      0.11276485299327169,
      0.11090917197029102,
      0.1090829894177708,
      0.10728583263041071,
      0.10551723665789821,
      0.10377674407966943,
      0.10206390505323365,
      0.10037827713268398,
      0.09871942510601743,
      0.09708692078661584,
      0.09548034293019785,
      0.09389927724562651,
      0.09234331600265738,
      0.09081205829898356,
      0.08930510980320669,
      0.0878220824444833,
      0.08636259443261027,
      0.08492627027092321,
      0.08351274047980059,
      0.08212164161806597,
      0.08075261600426671,
      0.07940531174793682,
      0.07807938291272269,
      0.07677448887041702,
      0.07549029448861162,
      0.07422647009270811,
      0.07298269142544116,
      0.07175863931432913,
      0.07055399967231253,
      0.06936846362480445,
      0.06820172724894343,
      0.06705349148660872,
      0.06592346200185521,
      0.06481134916058805,
      0.06371686811074606,
      0.06263973862184156,
      0.06157968470306474,
      0.060536434917942555,
      0.05950972224181456,
      0.058499283878503484,
      0.05750486130236323,
      0.05652620007480242,
      0.055563049704514714,
      0.05461516382468559,
      0.05368229994642946,
      0.052764219659851425,
      0.05186068823910275,
      0.05097147466255413,
      0.05009635148449479,
      0.04923509511146369,
      0.04838748541881331,
      0.04755330579398708,
      0.04673234313908557,
      0.04592438772746899,
      0.045129233139966266,
      0.04434667628707546,
      0.04357651723021764,
      0.04281855932725584,
      0.04207260904664677,
      0.04133847589867022,
      0.04061597238426775,
      0.03990491414973668,
      0.0392051196858146,
      0.038516410313982584,
      0.037838610228493226,
      0.03717154645394415,
      0.0365150487533909,
      0.03586894950195005,
      0.035233083933628936,
      0.034607289858024914,
      0.03399140758756426,
      0.033385280071448885,
      0.03278875254358886,
      0.03220167285363775,
      0.03162389127377449,
      0.031055260397422502,
      0.03049563527628478,
      0.02994487312742675,
      0.02940283346906246,
      0.02886937808043344,
      0.028344370951484146,
      0.027827678209266588,
      0.02731916811639786,
      0.02681871091192924,
      0.026326179029375167,
      0.02584144695397782,
      0.025364391068858815,
      0.024894889750499753,
      0.024432823293544563,
      0.02397807396415979,
      0.023530525812640566,
      0.023090064779750754,
      0.022656578561727467,
      0.022229956647830656,
      0.021810090315580993,
      0.02139687248485357,
      0.020990197879177865,
      0.020589962813809683,
      0.020196065419513305,
      0.019808405294341924,
      0.019426883593951356,
      0.019051403102318048,
      0.01868186805446123,
      0.018318184295705746,
      0.017960259160816384,
      0.01760800148612744,
      0.017261321481359174,
      0.016920130835700428,
      0.016584342658113288,
      0.016253871371974708,
      0.015928632697770697,
      0.01560854381903597,
      0.01529352312743469,
      0.014983490329293784,
      0.014678366461449953,
      0.014378073893221256,
      0.014082536073222502,
      0.01379167760439856,
      0.013505424450971212,
      0.013223703609619643,
      0.012946443319806357,
      0.012673573042982228,
      0.012405023217730193,
      0.012140725489543624,
      0.011880612455363152,
      0.011624617844605896,
      0.011372676430905402,
      0.011124723992472205,
      0.01088069744675873,
      0.010640534586183055,
      0.010404174241460328,
      0.010171556148619696,
      0.009942621094433338,
      0.009717310811368953,
      0.009495567863380397,
      0.009277335776932122,
      0.009062558933811592,
      0.00885118261377142,
      0.008643152938822523,
      0.008438416992650423,
      0.008236922574719365,
      0.008038618370867459,
      0.007843453917229919,
      0.007651379510517694,
      0.007462346203551606,
      0.0072763058869500215,
      0.007093211081101685,
      0.00691301510618605,
      0.0067356721152464355,
      0.006561136933163421,
      0.006389365210467049,
      0.0062203130644224724,
      0.006053937415993993,
      0.0058901959097655155,
      0.005729046843108294,
      0.005570449129676533,
      0.0054143624689881546,
      0.005260747016386656,
      0.005109563716675808,
      0.004960774125194732,
      0.004814340282478803,
      0.004670224857762183,
      0.004528391193524533,
      0.004388803078618099,
      0.00425142496244892,
      0.004116221847379233,
      0.003983159380185512,
      0.003852203558296144,
      0.0037233211623544536,
      0.0035964792442324924,
      0.0034716455702506,
      0.0033487883355005597,
      0.0032278762044121,
      0.003108878404143659,
      0.0029917646099650386,
      0.002876505017559574,
      0.0027630703081662263,
      0.0026514315524306786,
      0.0025415603580171064,
      0.0024334286753209923,
      0.002327008967315875,
      0.0022222741777299156,
      0.002119197656672816,
      0.002017753113373945,
      0.0019179147036419899,
      0.001819657030304595,
      0.001722955043377372,
      0.0016277840245735346,
      0.0015341197954623351,
      0.0014419384890538285,
      0.0013512165324474138,
      0.0012619309167947017,
      0.0011740589416411667,
      0.0010875782721199445,
      0.0010024668448196303,
      0.0009187030039673294,
      0.0008362652890212707,
      0.0007551328087173073,
      0.0006752848023599502,
      0.0005967009849512166,
      0.0005193613845510806,
      0.00044324623218506133,
      0.0003683361451330781,
      0.000294612114391838,
      0.00022205525813782018,
      0.00015064721863495892,
      8.036979087223729e-05,
      1.120502304571998e-05,
      -5.6864745841605114e-05,
      -0.0001238568663598546,
      -0.00018978833850745252,
      -0.000254675884789371,
      -0.00031853607956599026,
      -0.0003813851849008007,
      -0.0004432393039182855,
      -0.0005041141636917998,
      -0.0005640252727222635,
      -0.0006229878478678755,
      -0.0006810169316606645,
      -0.0007381273241165865,
      -0.0007943334752596874,
      -0.0008496496819848539,
      -0.0009040900740868252,
      -0.0009576685871049668,
      -0.0010103988644029154,
      -0.0010622942533065642,
      -0.0011133679977010154,
      -0.0011636330926159868,
      -0.0012131023735359014,
      -0.0012617883631492086,
      -0.0013097034796988591,
      -0.0013568599456389057,
      -0.0014032698292388527,
      -0.0014489449012410995,
      -0.0014938968782757607,
      -0.0015381371188489053,
      -0.0015816769353147117,
      -0.0016245273708786184,
      -0.001666699452994895,
      -0.0017082039058583815,
      -0.0017490512499183986,
      -0.001789251912948419,
      -0.0018288160547787716,
      -0.0018677538488662002,
      -0.0019060752106171497,
      -0.001943789893587529,
      -0.0019809074194835153,
      -0.0020174372110648587,
      -0.0020533886101313705,
      -0.002088770780376329,
      -0.002123592749931036,
      -0.0021578634595415067,
      -0.002191591549383901,
      -0.002224785634993457,
      -0.0022574542009133986,
      -0.002289605576776872,
      -0.0023212478684258384
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334880380406952,
      10.094065422770926,
      9.84717927402173,
      9.596987811320396,
      9.345911615079158,
      9.096046263378508,
      8.8491349371615,
      8.606556825281595,
      8.369333401661605,
      8.138143896230781,
      7.9133534059113995,
      7.695057241363052,
      7.483131230856393,
      7.277283574620132,
      7.07710470117665,
      6.882113479184366,
      6.691796377696495,
      6.505639126750555,
      6.323153367255335,
      6.143894240669506,
      5.967472151731547,
      5.793552102362702,
      5.621865507253655,
      5.452226957179343,
      5.284531211887446,
      5.118747669698358,
      4.954915260870395,
      4.793150550888608,
      4.633655118464241,
      4.476723971840869,
      4.32269209246626,
      4.171919792549478,
      4.024788406539249,
      3.8816904005294823,
      3.7430054615570256,
      3.609081358614899,
      3.480223884514596,
      3.3566892545431877,
      3.238678967423234,
      3.126337140617861,
      3.0197449265257807,
      2.9189091760388055,
      2.8237660678246996,
      2.7341688078587443,
      2.649909258457648,
      2.5707471380277207,
      2.4964333147027054,
      2.4267099467259166,
      2.3613091266616837,
      2.2999520785010112,
      2.2423348828075036,
      2.188087051558086,
      2.136844486414159,
      2.0882665766451542,
      2.0420315163699923,
      1.9978440414598182,
      1.9554653635148957,
      1.914699820018506,
      1.8753850395554414,
      1.8373911909369705,
      1.8006093719136258,
      1.7649423362320287,
      1.7303085319121643,
      1.6966412102287518,
      1.6638843617673125,
      1.6319898886315454,
      1.6009156271913279,
      1.5706239580880814,
      1.541080822753004,
      1.5122550216763688,
      1.484117707949452,
      1.4566424025830045,
      1.4298025897149826,
      1.4035733651976148,
      1.377934658407884,
      1.3528689597583596,
      1.3283613820489117,
      1.304396920606095,
      1.2809600626091846,
      1.258035212611068,
      1.235606960378527,
      1.2136602430736043,
      1.1921804403232552,
      1.171153424738707,
      1.1505655852828314,
      1.1304045092603838,
      1.1106589653919845,
      1.0913181801274976,
      1.0723717975302598,
      1.0538094430302065,
      1.0356208399471711,
      1.0177959125358407,
      1.0003248469209773,
      0.9831981247947289,
      0.966406539872654,
      0.9499412020821432,
      0.9337935346808178,
      0.9179552680517923,
      0.9024184300880937,
      0.887175335501092,
      0.8722185746937925,
      0.8575410021647182,
      0.8431357248532919,
      0.828996091843533,
      0.8151156823580072,
      0.8014882964901175,
      0.7881079448516276,
      0.7749688392787323,
      0.7620656511883245,
      0.7493935400853036,
      0.7369476722990821,
      0.7247232238307457,
      0.7127154294964816,
      0.7009196118803774,
      0.6893311988779878,
      0.6779457322215492,
      0.6667588712315083,
      0.6557663941154847,
      0.6449641966332541,
      0.634348289714112,
      0.6239147965406923,
      0.6136598972544473,
      0.6035798512702452,
      0.5936710499004503,
      0.5839300017678022,
      0.5743533223850713,
      0.5649377261535626,
      0.5556800202116097,
      0.5465770989078503,
      0.5376259401144851,
      0.5288236010626451,
      0.5201672151965723,
      0.5116539891760722,
      0.5032812005062866,
      0.4950461941859887,
      0.4869463806034639,
      0.4789796152944396,
      0.47114435634613444,
      0.4634388557813328,
      0.45586114979060993,
      0.4484091564022473,
      0.44108073667608666,
      0.43387373381540484,
      0.4267859974417582,
      0.41981539847540345,
      0.41295983801931746,
      0.4062172528878797,
      0.3995856186530045,
      0.3930630672557646,
      0.38664800285247897,
      0.38033878071387217,
      0.3741336880997764,
      0.36803098278926855,
      0.3620289170859337,
      0.35612575329521845,
      0.3503197731801504,
      0.3446092830671257,
      0.33899265455638716,
      0.333468415027251,
      0.3280350919961439,
      0.32269118884329573,
      0.317435204520478,
      0.3122656461940423,
      0.30718103703922867,
      0.30217992665869065,
      0.29726091548911704,
      0.2924226265797584,
      0.2876636442464592,
      0.2829823615644812,
      0.27837721472877713,
      0.27384675638739153,
      0.2693896223865819,
      0.26500451029136557,
      0.26069016535140016,
      0.25644537139646884,
      0.2522689447360108,
      0.24815972973279157,
      0.244116764315569,
      0.24013942850465947,
      0.2362270018431881,
      0.23237863665728983,
      0.22859341007715397,
      0.22487035725656,
      0.221208493054652,
      0.21760682559598135,
      0.21406436526102876,
      0.21058013008352727,
      0.20715314928228754,
      0.20378246528568997,
      0.20046713228846683,
      0.19720613997461237,
      0.19399846217034158,
      0.19084313343251788,
      0.18773919995603086,
      0.18468559604823756,
      0.18168129007473297,
      0.17872533930558265,
      0.17581686405121666,
      0.17295503036767915,
      0.1701390388125794,
      0.1673681168253314,
      0.1646415139207767,
      0.16195849808229004,
      0.15931835353223664,
      0.1567203791854171,
      0.15416388751285587,
      0.1516482038316466,
      0.1491726654078278,
      0.1467366212158909,
      0.1443394315722507,
      0.1419804677369706,
      0.1396591117185821,
      0.1373747560142369,
      0.1351268031765654,
      0.13291466592544707,
      0.1307377667805232,
      0.1285955380288153,
      0.12648742129501883,
      0.12441286747134032,
      0.12237133667565976,
      0.12036229784333798,
      0.1183852287987929,
      0.11643961594736943,
      0.11452495419148173,
      0.11264074679154466,
      0.11078650521517028,
      0.1089617489240382,
      0.10716600525021945,
      0.1053988092855349,
      0.10365970375197225,
      0.10194823883362453,
      0.10026397222447625,
      0.09860646864763631,
      0.09697530000922765,
      0.09537004520102732,
      0.09379028988863188,
      0.09223562653926555,
      0.09070565435815976,
      0.08919997900655588,
      0.08771821254575542,
      0.08625997324718622,
      0.08482488571095932,
      0.08341258052865282,
      0.08202269439426693,
      0.08065486966673616,
      0.07930875449360467,
      0.0779840029454451,
      0.07668027444935599,
      0.0753972339830813,
      0.07413455197051165,
      0.07289190406976837,
      0.07166897143186667,
      0.0704654401299665,
      0.06928100127442267,
      0.06811535088210251,
      0.066968189986316,
      0.06583922436407433,
      0.06472816459605663,
      0.06363472578111312,
      0.06255862764000117,
      0.061499594410063856,
      0.060457354797744944,
      0.059431641852722095,
      0.058422192857790496,
      0.05742874930464688,
      0.05645105685651281,
      0.055488865151619535,
      0.054541927859748957,
      0.05361000263963434,
      0.052692851063607084,
      0.051790238458093746,
      0.050901933866656465,
      0.05002771009675534,
      0.04916734356772482,
      0.048320614185001956,
      0.04748730543439066,
      0.04666720427035698,
      0.045860101055623284,
      0.0450657895008277,
      0.04428406661086069,
      0.04351473254792517,
      0.042757590716926384,
      0.042012447582945346,
      0.04127911275497193,
      0.04055739887181797,
      0.03984712147722219,
      0.0391480991604067,
      0.03846015343492516,
      0.03778310862571026,
      0.037116791836397496,
      0.03646103271443635,
      0.03581566394821191,
      0.035180520770274504,
      0.034555441014651155,
      0.03394026510763235,
      0.03333483594777893,
      0.03273899902429295,
      0.032152602265601946,
      0.03157549588465619,
      0.03100753262099108,
      0.030448567509177783,
      0.029898457935844128,
      0.029357063515233206,
      0.028824246081413683,
      0.028299869656895998,
      0.02778380041772966,
      0.027275906666320508,
      0.02677605878733407,
      0.02628412923693676,
      0.025799992527648266,
      0.025323525208078686,
      0.02485460562168999,
      0.024393114137131286,
      0.023938933169938375,
      0.023491946868488826,
      0.023052041118871682,
      0.022619103785170954,
      0.022193024391243682,
      0.021773694326132347,
      0.021361006590423327,
      0.02095485600879887,
      0.020555138852982133,
      0.020161753249842335,
      0.019774598731503668,
      0.019393576796110912,
      0.019018590203650702,
      0.01864954331409096,
      0.018286342036889808,
      0.017928893685113963,
      0.01757710705112925,
      0.017230892469003563,
      0.01689016172406752,
      0.01655482794239039,
      0.016224805625689332,
      0.015900010576906688,
      0.01558036002197046,
      0.015265772507824826,
      0.01495616788849554,
      0.014651467157289762,
      0.014351592544026903,
      0.014056467458164443,
      0.013766016792998634,
      0.013480166573815464,
      0.013198843960172409,
      0.012921977196026805,
      0.01264949558254753,
      0.0123813296142518,
      0.012117410986532002,
      0.011857672524832821,
      0.01160204797837637,
      0.01135047212300087,
      0.011102880874087485,
      0.010859211098984993,
      0.010619400636417297,
      0.010383388440627144,
      0.010151114335663725,
      0.009922519071884744,
      0.009697544354227651,
      0.009476132867913467,
      0.00925822815555013,
      0.009043774713614165,
      0.00883271779352677,
      0.008625003702520622,
      0.00842057945905152,
      0.008219392896590808,
      0.008021392764519152,
      0.007826528583939132,
      0.00763475077430595,
      0.007446010407805855,
      0.007260259271896285,
      0.00707744996626542,
      0.006897536117680534,
      0.006720471746112079,
      0.006546211676175315,
      0.006374711556929332,
      0.006205927725927933,
      0.0060398172224451875,
      0.005876337542392211,
      0.005715446955055201,
      0.005557104523636304,
      0.005401269944756012,
      0.00524790345376373,
      0.005096965885043754,
      0.004948418880898233,
      0.004802224594532029,
      0.004658345738692449,
      0.004516745687667366,
      0.004377388224997485,
      0.004240237910542613,
      0.004105259788526521,
      0.003972419403060881,
      0.0038416829173653845,
      0.003713017006351801,
      0.0035863888720077124,
      0.0034617662611453387,
      0.0033391173895729034,
      0.0032184109828296537,
      0.003099616299555842,
      0.0029827031319348087,
      0.002867641584635074,
      0.002754402454446052,
      0.002642956778346395,
      0.0025332761142004816,
      0.0024253325942578496,
      0.0023190986505014404,
      0.0022145471990413948,
      0.0021116516609092613,
      0.002010385794211217,
      0.0019107238265069551,
      0.0018126403408383277,
      0.00171611027774767,
      0.001621109046811069,
      0.0015276124237962496,
      0.001435596627187128,
      0.0013450381550083857,
      0.0012559139023084378,
      0.0011682011597053323,
      0.0010818776004864166,
      0.0009969212373666077,
      0.0009133104127278173,
      0.0008310238660713883,
      0.0007500406124587087,
      0.0006703398537392416,
      0.0005919013295779398,
      0.0005147050658759386,
      0.00043873144948139637,
      0.00036396102349071783,
      0.0002903747992660717,
      0.00021795406070557874,
      0.000146680335602309,
      7.653544370321264e-05,
      7.501533639099416e-06,
      -6.043899980506867e-05,
      -0.00012730352133877773,
      -0.00019310908336655098,
      -0.00025787251209567774,
      -0.0003216102061963079,
      -0.00038433841129663663,
      -0.0004460731819880017,
      -0.0005068301521042345,
      -0.0005666248443555752,
      -0.000625472540230895,
      -0.0006833882129040009,
      -0.0007403867068765872,
      -0.0007964824591445437,
      -0.0008516897211871621,
      -0.00090602263395227,
      -0.0009594950227401513,
      -0.0010121204831443442,
      -0.001063912421795939,
      -0.0011148841216873347,
      -0.0011650486288375867,
      -0.0012144186701309352,
      -0.0012630067666707045,
      -0.0013108252958269465,
      -0.001357886431590402,
      -0.0014042022179711728,
      -0.0014497844506240962,
      -0.0014946447296952372,
      -0.0015387945880825107,
      -0.0015822451740661438,
      -0.0016250075812940942,
      -0.0016670927587738842,
      -0.0017085114077122477,
      -0.0017492740041725882,
      -0.0017893910249481113,
      -0.0018288726322029138,
      -0.0018677289553043737,
      -0.0019059698887722105,
      -0.0019436052265349333,
      -0.001980644515974102,
      -0.0020170971589436298,
      -0.002052972486925887,
      -0.0020882797212336502,
      -0.0021230277866701713,
      -0.0021572255182460073,
      -0.0021908815877843824,
      -0.0022240045888317675,
      -0.0022566029749208267,
      -0.0022886850928426202,
      -0.0023202590627060607
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334876793865538,
      10.094052949916785,
      9.847151948207776,
      9.596940974223479,
      9.34584199667986,
      9.095951684731189,
      8.849014064680956,
      8.606408998095185,
      8.36915856387815,
      8.137942287314308,
      7.913125395980366,
      7.694803244211473,
      7.482851645030679,
      7.276978755014787,
      7.076774955100325,
      6.881759054078251,
      6.691417504669629,
      6.505236065570049,
      6.322726447124532,
      6.143443947912365,
      5.966999180000746,
      5.793057395698395,
      5.621350229587049,
      5.451692510975809,
      5.283979329771199,
      5.118180276130351,
      4.95433438338734,
      4.7925584975967706,
      4.6330549754899275,
      4.476119285984753,
      4.322086390311387,
      4.171316606191589,
      4.024191292663441,
      3.881102908488009,
      3.74243088941157,
      3.608522702795519,
      3.479683792154089,
      3.3561699889451377,
      3.2381823866741724,
      3.125864688541097,
      3.0192974856819528,
      2.918487129447595,
      2.8233691951513658,
      2.7337962476442117,
      2.6495596107678323,
      2.570418733343687,
      2.4961243231558665,
      2.426418456342426,
      2.3610331539429956,
      2.2996895576141245,
      2.242083566063003,
      2.187844423526774,
      2.1366083704355687,
      2.0880350040920277,
      2.0418026684808623,
      1.997616345115314,
      1.9552375517956158,
      1.914470913721715,
      1.8751543456180892,
      1.8371582166915132,
      1.8003737364866927,
      1.7647037176336442,
      1.730066730483419,
      1.6963961110057633,
      1.6636359090999897,
      1.631738068338318,
      1.6006604535912823,
      1.5703654646615823,
      1.540819055935524,
      1.511990036469781,
      1.4838495705925259,
      1.4563712155436,
      1.429528475336507,
      1.4032965764137209,
      1.377655462934759,
      1.3525877097425454,
      1.3280784659278362,
      1.304112607610072,
      1.2806745434559326,
      1.2577486265487858,
      1.235319412802835,
      1.2133718168227845,
      1.1918912031453461,
      1.170863434610593,
      1.1502748936341862,
      1.1301131836732545,
      1.1103670715269132,
      1.0910257847648042,
      1.0720789609291863,
      1.053516217180772,
      1.0353272705674792,
      1.017502041613928,
      1.000030714175442,
      0.9829037682592527,
      0.9661119959101055,
      0.9496465059474837,
      0.9334987209717643,
      0.9176603706917625,
      0.9021234822993778,
      0.8868803701241721,
      0.8719236241411666,
      0.857246098263586,
      0.8428408991868266,
      0.8287013751673896,
      0.8148211053295532,
      0.8011938894217974,
      0.7878137374551203,
      0.774674865104578,
      0.7617720687646167,
      0.7491005090451661,
      0.7366553022841952,
      0.7244315921485273,
      0.7124245920680679,
      0.700629611196667,
      0.6890420682715683,
      0.6776574987811248,
      0.6664715583587812,
      0.6554800227143011,
      0.6446787856211991,
      0.6340638566475263,
      0.6236313579970397,
      0.6133774682632335,
      0.6032984459520292,
      0.5933906821199539,
      0.5836506853974737,
      0.5740750711797327,
      0.5646605536680764,
      0.5554039396601111,
      0.5463021233716161,
      0.5373520821824748,
      0.5285508728461771,
      0.5198956286411427,
      0.5113835560616914,
      0.5030119318557512,
      0.4947781006570568,
      0.4866794727730477,
      0.4787139893698269,
      0.4708801113012786,
      0.46317605558762925,
      0.455599836083539,
      0.44814935605473943,
      0.440822467357672,
      0.43361700725004476,
      0.4265308213688916,
      0.41956177793022653,
      0.41270777624295485,
      0.40596675209963484,
      0.39933668010192297,
      0.392815716300202,
      0.38640226524411186,
      0.38009467183938106,
      0.3738912166526577,
      0.36779015291258343,
      0.36178973008798765,
      0.35588820876666544,
      0.350083869376248,
      0.3443750175742538,
      0.3387600327500038,
      0.3332374450222472,
      0.3278057769954324,
      0.32246352874021145,
      0.31720919725616054,
      0.31204128837985884,
      0.30695832412635843,
      0.3019588546018619,
      0.29704148116413576,
      0.2922048256436294,
      0.28744747318875746,
      0.2827678186295375,
      0.2781642965400007,
      0.2736354584192694,
      0.2691799393155774,
      0.26479643623993027,
      0.26048369412844835,
      0.2562404965053024,
      0.25206565927784413,
      0.24795802668889588,
      0.2439166501846049,
      0.23994091014590638,
      0.2360300805761346,
      0.23218331019753657,
      0.22839967364293523,
      0.22467820456302967,
      0.22101791667764945,
      0.21741781747029848,
      0.21387691692034694,
      0.2103942326561622,
      0.20696879359877812,
      0.20359964209874,
      0.20028582993512245,
      0.19702634370478816,
      0.19382015912678457,
      0.19066631185935845,
      0.18756388147245145,
      0.18451188555976597,
      0.1815092670722634,
      0.1785550509962691,
      0.1756483363460123,
      0.1727882751670137,
      0.16997405887833128,
      0.16720490902031404,
      0.16448007106355933,
      0.16179881055722484,
      0.15916041011331278,
      0.1565641675796675,
      0.15400939470207722,
      0.1514954160795188,
      0.14902156890666027,
      0.1465872019690736,
      0.14419167549167508,
      0.14183436075233716,
      0.13951463973987605,
      0.13723190487466508,
      0.13498555892469563,
      0.1327750146913525,
      0.13059969471196584,
      0.12845903105523235,
      0.12635246550762907,
      0.12427944905145094,
      0.12223944188023934,
      0.12023191308005944,
      0.11825634043365206,
      0.11631221044910917,
      0.114399018136461,
      0.11251626676661515,
      0.11066346786682059,
      0.10884014104561335,
      0.1070458137549312,
      0.10528002099530492,
      0.10354230549730545,
      0.10183221763604655,
      0.10014931514212899,
      0.09849316279940253,
      0.09686333261759564,
      0.09525940353348453,
      0.093680961326391,
      0.09212759858872305,
      0.09059891458035994,
      0.08909451499099114,
      0.0876140119414416,
      0.08615702379074447,
      0.08472317513048298,
      0.08331209672777944,
      0.0819234252612553,
      0.08055680319200212,
      0.07921187886191032,
      0.07788830628527205,
      0.07658574505607814,
      0.0753038602370229,
      0.07404232238275625,
      0.07280080725499766,
      0.07157899598314395,
      0.07037657462667604,
      0.06919323442392854,
      0.06802867155659323,
      0.06688258712359123,
      0.06575468705322388,
      0.06464468186415386,
      0.06355228683817117,
      0.06247722182196268,
      0.061419211220978286,
      0.060377983698239504,
      0.05935327225802423,
      0.058344814205635996,
      0.05735235118978292,
      0.056375628978096455,
      0.05541439738219902,
      0.054468410120480135,
      0.053537424995430495,
      0.052621203608598094,
      0.05171951124261653,
      0.05083211713592117,
      0.04995879415145029,
      0.04909931870446487,
      0.048253470830808214,
      0.04742103419880941,
      0.046601795788370044,
      0.04579554606286405,
      0.04500207872153473,
      0.04422119082374889,
      0.043452682633376934,
      0.04269635760572775,
      0.04195202235801882,
      0.04121948659455791,
      0.04049856309169181,
      0.03978906749691578,
      0.03909081851785421,
      0.03840363756599255,
      0.03772734898347087,
      0.03706177994706763,
      0.03640676046582046,
      0.035762123084065324,
      0.03512770311929654,
      0.0345033384140452,
      0.03388886956222247,
      0.033284139617932466,
      0.032688994061800994,
      0.032103280872393516,
      0.03152685042215464,
      0.030959555478681074,
      0.03040125110670721,
      0.02985179483993284,
      0.029311046327828553,
      0.02877886742351511,
      0.02825512220367404,
      0.027739676907947704,
      0.027232400001228084,
      0.0267331620156492,
      0.026241835425996122,
      0.02575829473624459,
      0.025282416478529014,
      0.024814079289842604,
      0.024353163640846408,
      0.023899551749901247,
      0.02345312790448363,
      0.023013778097369667,
      0.02258139021039464,
      0.022155853931502132,
      0.021737060582163802,
      0.021324903372866518,
      0.02091927701472223,
      0.020520077946694814,
      0.02012720433703052,
      0.019740555945408723,
      0.019360034130877314,
      0.018985541700831967,
      0.018616983115632472,
      0.018254264336816935,
      0.017897292853103635,
      0.017545977597689284,
      0.017200228896861004,
      0.016859958474662543,
      0.016525079463183826,
      0.016195506507491995,
      0.01587115552005357,
      0.015551943662761473,
      0.015237789550299722,
      0.014928613070859305,
      0.014624335326615692,
      0.01432487871894816,
      0.014030166752103057,
      0.013740124248499548,
      0.013454677257656622,
      0.013173752874222597,
      0.012897279505622316,
      0.012625186667616578,
      0.01235740487307943,
      0.012093865741287744,
      0.011834502085902253,
      0.011579247791398926,
      0.01132803770008201,
      0.011080807750858117,
      0.010837494906091283,
      0.010598037037872236,
      0.010362373148646476,
      0.010130443138320622,
      0.009902187740164953,
      0.009677548708251668,
      0.009456468862440866,
      0.009238891736661932,
      0.009024761860116146,
      0.008814024590371632,
      0.008606626140754062,
      0.00840251359188523,
      0.008201634913137777,
      0.008003938828416763,
      0.0078093749519594444,
      0.007617893647896555,
      0.0074294460646569475,
      0.007243984095754677,
      0.007061460483782188,
      0.006881828653788097,
      0.006705042931464937,
      0.0065310581093421475,
      0.006359829829269336,
      0.006191314331868469,
      0.006025468717440017,
      0.0058622507330495415,
      0.005701618727393369,
      0.0055435316784852315,
      0.005387949254971353,
      0.005234831817008333,
      0.005084140273452345,
      0.004935836138292438,
      0.004789881614848758,
      0.004646239523916027,
      0.004504873164099475,
      0.004365746600337864,
      0.004228824242977475,
      0.004094071146984426,
      0.00396145290021868,
      0.0038309357428321133,
      0.0037024863965324176,
      0.0035760720930346017,
      0.003451660610760626,
      0.003329220205644349,
      0.003208719607361122,
      0.003090128176608967,
      0.002973415574601478,
      0.0028585520645999975,
      0.0027455084196218887,
      0.0026342558208098804,
      0.0025247658333334136,
      0.002417010504746129,
      0.0023109623697542625,
      0.0022065943424619183,
      0.002103879826133822,
      0.0020027927107049187,
      0.0019033071875564568,
      0.0018053978391359617,
      0.0017090396472020143,
      0.0016142079835791178,
      0.0015208788317618719,
      0.001429028323508726,
      0.0013386330013984156,
      0.0012496697904073812,
      0.0011621161044939867,
      0.0010759496306340704,
      0.000991148336799301,
      0.0009076904871359668,
      0.0008255548619457441,
      0.0007447204581029184,
      0.0006651667056529613,
      0.0005868733870039192,
      0.0005098204493991154,
      0.00043398825064139995,
      0.000359357488425017,
      0.0002859091625928992,
      0.00021362450691769119,
      0.00014248507449475452,
      7.247263348718641e-05,
      3.5694009273105898e-06,
      -6.424220520205152e-05,
      -0.00013097936792271907,
      -0.000196659084902911,
      -0.0002612982607432115,
      -0.00032491344243480247,
      -0.00038752075718699076,
      -0.0004491360520929286,
      -0.0005097751535152381,
      -0.0005694534967116544,
      -0.0006281863007530013,
      -0.000685988577623806,
      -0.0007428751018245634,
      -0.0007988604814763562,
      -0.0008539588908776966,
      -0.0009081843808861402,
      -0.0009615507684623785,
      -0.0010140717101912102,
      -0.001065760520456372,
      -0.0011166303762536894,
      -0.0011666943182992728,
      -0.0012159650792946497,
      -0.0012644552613103692,
      -0.0013121772134936274,
      -0.0013591431124853031,
      -0.0014053648699867696,
      -0.0014508542941595436,
      -0.0014956230406665198,
      -0.0015396825120566329,
      -0.0015830439469718717,
      -0.0016257183689614178,
      -0.001667716744220332,
      -0.00170904984665128,
      -0.0017497281153291378,
      -0.0017897619568079056,
      -0.0018291614230511572,
      -0.0018679366199406166,
      -0.0019060974478605549,
      -0.0019436537042901002,
      -0.001980614976008376,
      -0.0020169907530069933,
      -0.002052790192163208,
      -0.002088022388595857,
      -0.0021226963477860425,
      -0.002156820995480581,
      -0.002190404964654545,
      -0.002223456877490902,
      -0.002255985124733183,
      -0.0022879979685933543,
      -0.002319503740784472
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334873200408289,
      10.09404045007807,
      9.84712456108598,
      9.5968940258168,
      9.345772208114628,
      9.095856871884955,
      8.848892890369493,
      8.606260798100637,
      8.368983281808243,
      8.137740163678666,
      7.912896801094721,
      7.6945485894016326,
      7.48257132881299,
      7.276673133244154,
      7.076444334359716,
      6.881403684316106,
      6.691037618291242,
      6.504831924201901,
      6.322298381455019,
      6.14299244362586,
      5.966524932322041,
      5.792561350402878,
      5.620833550814575,
      5.451156604174226,
      5.2834259314138,
      5.117611313870089,
      4.953751888486971,
      4.791964783530277,
      4.6324532192637005,
      4.475513029998732,
      4.321479158686906,
      4.170711935237436,
      4.023592736870914,
      3.880514014854517,
      3.74185495465863,
      3.6079627213668988,
      3.4791424107772895,
      3.3556494707792632,
      3.237684588216552,
      3.1253910516460204,
      3.018848891236176,
      2.91806395794938,
      2.82297122253207,
      2.7334225427521637,
      2.6492087233974937,
      2.5700890111510883,
      2.495813952236071,
      2.4261255387313625,
      2.36075571937758,
      2.299425552056985,
      2.24183075261367,
      2.1876002958645246,
      2.136370759495054,
      2.087801921805807,
      2.041572281736561,
      1.997387097410208,
      1.9550081882568688,
      1.914240463038202,
      1.8749221201849509,
      1.8369237278070942,
      1.8001366051445098,
      1.7644636230174322,
      1.7298234729658968,
      1.6961495759460596,
      1.6633860407599124,
      1.6314848519448755,
      1.6004039023783483,
      1.5701056115062588,
      1.5405559469063839,
      1.5117237260904888,
      1.483580129403264,
      1.4560987486433006,
      1.4292531016645622,
      1.4030185469489795,
      1.377375044284551,
      1.3523053071630344,
      1.3277944473934464,
      1.3038272288492245,
      1.2803879861986207,
      1.2574610243996809,
      1.2350308669263637,
      1.2130824073413935,
      1.1916009962015457,
      1.170572486976301,
      1.1499832563954615,
      1.1298209239160868,
      1.1100742546231155,
      1.0907324762971662,
      1.0717852209853505,
      1.0532220972338422,
      1.0350328167992253,
      1.0172072958323306,
      0.9997357151759175,
      0.9826085533258093,
      0.9658166013903846,
      0.9493509669020116,
      0.9332030717283653,
      0.9173646447791398,
      0.9018277129813058,
      0.8865845902121126,
      0.8716278657974118,
      0.8569503933538334,
      0.8425452793180559,
      0.8284058715134598,
      0.8145257484466384,
      0.8008987090544428,
      0.7875187631202202,
      0.7743801929402313,
      0.7614778850453663,
      0.7488069399467343,
      0.7363624357039374,
      0.7241394910566731,
      0.7121333036369449,
      0.7003391718832526,
      0.6887525073101576,
      0.6773688410864277,
      0.6661838259325176,
      0.6551932350673522,
      0.6443929610703617,
      0.6337790123528507,
      0.6233475095818339,
      0.6130946296989295,
      0.6030166317718412,
      0.593109906903711,
      0.5833709633253478,
      0.5737964161113105,
      0.5643829792643729,
      0.5551274591673788,
      0.5460267498038235,
      0.5370778281655766,
      0.528277750862095,
      0.5196236507814792,
      0.511112733697509,
      0.5027422761646027,
      0.49450962255829745,
      0.4864121827037829,
      0.47844798355575513,
      0.4706154886387589,
      0.46291287995114533,
      0.4553381489154899,
      0.4478891845489744,
      0.4405638293583918,
      0.4333599144599534,
      0.42627528148764326,
      0.41930779588428446,
      0.41245535542641465,
      0.4057158945871639,
      0.3990873870563773,
      0.392568012873233,
      0.3861561770128536,
      0.37985021414921344,
      0.3736483980849882,
      0.3675489778347075,
      0.3615502001664424,
      0.3556503236146401,
      0.34984762720313567,
      0.34414041577592036,
      0.33852707864398673,
      0.3330061458158926,
      0.3275761351998173,
      0.32223554399788434,
      0.31698286722696584,
      0.3118166094644248,
      0.3067352918767122,
      0.3017374649019715,
      0.29682173090159486,
      0.2919867102643626,
      0.2872309892313518,
      0.2825529646349343,
      0.2779510691423296,
      0.27342385303439515,
      0.2689699504664415,
      0.26458805800371105,
      0.26027692021066867,
      0.25603532033715987,
      0.25186207404670274,
      0.2477560254680191,
      0.24371623930356984,
      0.23974209646579306,
      0.23583286534757056,
      0.23198769104697042,
      0.22820564583168343,
      0.22448576158722236,
      0.22082705120380802,
      0.21722852135023749,
      0.21368918150751434,
      0.21020804904231502,
      0.20678415263230657,
      0.20341653436283022,
      0.2001042436895298,
      0.19684626408653894,
      0.1936415732824228,
      0.19048920821709284,
      0.18738824922268452,
      0.18433779063236982,
      0.1813368151774898,
      0.1783843061331721,
      0.17547933541192332,
      0.17262103730202025,
      0.1698085915669144,
      0.16704121209304051,
      0.16431813945435966,
      0.16163863582559568,
      0.15900198176894592,
      0.15640747362237842,
      0.15385442230797164,
      0.15134215213088376,
      0.1488699997184853,
      0.14643731366814053,
      0.14404345407623742,
      0.14168779206191423,
      0.13936970961470754,
      0.13708859921917116,
      0.13484386352265507,
      0.13263491539569522,
      0.13046117744342112,
      0.1283220820426278,
      0.12621707086716036,
      0.12414559501459284,
      0.12210711462046499,
      0.12010109880626964,
      0.11812702550270196,
      0.11618438133845944,
      0.11427266141075232,
      0.1123913689679384,
      0.11054001550630865,
      0.10871812067103759,
      0.10692521198648809,
      0.10516082457399306,
      0.1034245013527082,
      0.10171579277649528,
      0.10003425655794114,
      0.0983794576006869,
      0.09675096803912138,
      0.09514836681891167,
      0.09357123991133719,
      0.0920191798263333,
      0.09049178593082076,
      0.08898866403959727,
      0.0875094263150509,
      0.08605369124926063,
      0.08462108349031083,
      0.08321123379792986,
      0.08182377891285178,
      0.08045836137702787,
      0.07911462967685161,
      0.07779223791089827,
      0.07649084572622694,
      0.07521011828701389,
      0.0739497262821531,
      0.07270934559965309,
      0.07148865722638169,
      0.0702873474878438,
      0.06910510765170437,
      0.06794163402679025,
      0.06679662769224787,
      0.06566979455885279,
      0.06456084536551354,
      0.06346949552821819,
      0.062395464882011,
      0.06133847780176349,
      0.06029826316181112,
      0.05927455399726064,
      0.05826708795683367,
      0.05727560665949203,
      0.05629985588039875,
      0.05533958543733564,
      0.05439454920966501,
      0.053464504978890395,
      0.05254921439802274,
      0.05164844303609645,
      0.0507619602305325,
      0.04988953887114091,
      0.04903095552195247,
      0.04818599021305316,
      0.04735442659590804,
      0.04653605182573282,
      0.045730656396828,
      0.04493803400021647,
      0.044157981883102736,
      0.04339030044583908,
      0.04263479318482732,
      0.04189126683178807,
      0.04115953113633586,
      0.04043939882224047,
      0.03973068569814955,
      0.03903321044616442,
      0.03834679481297442,
      0.03767126314738271,
      0.03700644260031211,
      0.03635216322073684,
      0.03570825779900884,
      0.03507456173952203,
      0.03445091294055808,
      0.03383715189347214,
      0.033233121696405174,
      0.032638668046222646,
      0.0320536389671093,
      0.031477884980555294,
      0.030911258738026637,
      0.03035361547597538,
      0.029804812774612482,
      0.029264710440672543,
      0.028733170360255775,
      0.028210056677869345,
      0.02769523580617287,
      0.027188576158083587,
      0.026689948332118976,
      0.02619922493093394,
      0.02571628059084773,
      0.025240991911417418,
      0.02477323746260574,
      0.02431289765941995,
      0.02385985502554546,
      0.02341399389919499,
      0.022975200260102645,
      0.022543362097737194,
      0.022118369150645505,
      0.02170011282967486,
      0.021288486365305295,
      0.020883384591404684,
      0.02048470401373579,
      0.02009234278630738,
      0.019706200764170994,
      0.019326179397334012,
      0.018952181618291465,
      0.01858411191969481,
      0.01822187629199259,
      0.017865382281209263,
      0.01751453871563708,
      0.017169256023016503,
      0.016829446089411497,
      0.016495022180858857,
      0.016165898927988545,
      0.015841992258659895,
      0.01552321940530963,
      0.015209499076885517,
      0.01490075115915229,
      0.014596896744088357,
      0.014297858323158939,
      0.01400355957872565,
      0.013713925351959304,
      0.013428881768063396,
      0.013148355959179733,
      0.012872276383131353,
      0.012600572434477021,
      0.012333174816669918,
      0.012070015301909997,
      0.011811026660697423,
      0.011556142811831604,
      0.011305298722200628,
      0.011058430317735833,
      0.010815474454776817,
      0.010576369191670768,
      0.010341053547267097,
      0.010109467528889316,
      0.009881552005102911,
      0.009657248690102316,
      0.00943650038558259,
      0.009219250788310308,
      0.00900544443454435,
      0.008795026743242899,
      0.00858794389720234,
      0.00838414305181783,
      0.008183572242371272,
      0.007986180262587064,
      0.007791916711882978,
      0.007600732051963574,
      0.007412577501579052,
      0.007227405029662038,
      0.007045167325555007,
      0.0068658178490583225,
      0.006689310831947143,
      0.006515601232232451,
      0.006344644652579102,
      0.006176397516067376,
      0.006010816964992289,
      0.005847860648304198,
      0.005687486956060111,
      0.005529654989698296,
      0.00537432442691977,
      0.0052214556434730264,
      0.005071009633734856,
      0.0049229480359687765,
      0.004777233038746266,
      0.00463382742998902,
      0.0044926946797203505,
      0.004353798733113161,
      0.004217104123517481,
      0.004082575852116425,
      0.003950179734322601,
      0.003819881870825902,
      0.0036916490427350455,
      0.0035654485620825902,
      0.0034412481243587885,
      0.003319016031646587,
      0.0031987211953233997,
      0.0030803328868757238,
      0.0029638208778944605,
      0.0028491554676920165,
      0.00273630732902265,
      0.0026252476471891467,
      0.0025159481085917958,
      0.0024083808151389146,
      0.002302518308264594,
      0.0021983335882590853,
      0.002095800065640429,
      0.001994891641267246,
      0.0018955824574004658,
      0.0017978471844811565,
      0.0017016608196771673,
      0.0016069988815442138,
      0.001513837269235519,
      0.0014221520980110696,
      0.001331919948919903,
      0.0012431178342185328,
      0.001155723100449885,
      0.0010697133907784928,
      0.0009850668497437898,
      0.0009017618464742037,
      0.0008197770870386615,
      0.00073909168994837,
      0.0006596850659870376,
      0.0005815369199348652,
      0.0005046273491632116,
      0.00042893669544242363,
      0.00035444559514677615,
      0.0002811350748437003,
      0.0002089863495155178,
      0.0001379811178908804,
      6.810121068124543e-05,
      -6.711563880088737e-07,
      -6.835356049465166e-05,
      -0.00013496334526918617,
      -0.00020051738993593238,
      -0.0002650324810679891,
      -0.0003285250855875071,
      -0.0003910114537946485,
      -0.00045250751774001346,
      -0.0005130289346238716,
      -0.0005725912120095262,
      -0.0006312095331593094,
      -0.0006888988739821481,
      -0.0007456739219352369,
      -0.0008015491146130421,
      -0.000856538785409463,
      -0.0009106569334491626,
      -0.0009639173931993556,
      -0.0010163338125297298,
      -0.0010679195660438369,
      -0.0011186877570482441,
      -0.00116865123055476,
      -0.0012178228528673843,
      -0.0012662151421950502,
      -0.0013138405341217977,
      -0.0013607111249593045,
      -0.001406838942128914,
      -0.0014522356921948874,
      -0.001496912934139238,
      -0.0015408821120287952,
      -0.0015841544217447317,
      -0.0016267409758449899,
      -0.0016686525737021041,
      -0.0017098999791772915,
      -0.0017504935940678666,
      -0.0017904438104981739,
      -0.0018297608547064154,
      -0.0018684547569709684,
      -0.0019065353339157596,
      -0.001944012367019774,
      -0.0019808954372788554,
      -0.0020171939947801133,
      -0.002052917357603692,
      -0.0020880746212320967,
      -0.0021226747450551254,
      -0.0021567264730453493,
      -0.0021902385525764912,
      -0.00222321954628546,
      -0.002255677820970584,
      -0.0022876215614186604,
      -0.002319058993284297
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334869597391076,
      10.094027916601721,
      9.847097101557697,
      9.596846956427315,
      9.345702241158437,
      9.09576181291213,
      8.848771395232914,
      8.606112234264645,
      8.36880761412628,
      8.13753761869853,
      7.912667738702637,
      7.694293415174456,
      7.482290436338117,
      7.27636687523157,
      7.076113015265181,
      6.88104755010509,
      6.690656899200561,
      6.504426880523382,
      6.321869341054228,
      6.142539891858272,
      5.966049564842841,
      5.792064115257875,
      5.620315615158834,
      5.450619376075609,
      5.282871149329518,
      5.117040907101929,
      4.953167891412334,
      4.791369503309874,
      4.6318498314603485,
      4.4749050875894865,
      4.320870195359748,
      4.170105496310136,
      4.022992386109937,
      3.879923309286336,
      3.7412771992021847,
      3.607400918816212,
      3.478599213971953,
      3.355127148242565,
      3.2371850021583457,
      3.124915649157506,
      3.0183985572624183,
      2.917639076558501,
      2.822571570902089,
      2.733047189535548,
      2.6488562182063715,
      2.569757702021371,
      2.495502024775584,
      2.425831093955113,
      2.3604767855014566,
      2.2991600742286673,
      2.241576493646129,
      2.1873547490289766,
      2.136131754802324,
      2.0875674594680573,
      2.0413405205861808,
      1.9971564862682096,
      1.954777479309201,
      1.914008685922512,
      1.8746885879114967,
      1.8366879516087364,
      1.7998982059140494,
      1.7642222791760316,
      1.729578984437468,
      1.6959018275569437,
      1.6631349762654504,
      1.6312304562021138,
      1.600146188446746,
      1.5698446117832594,
      1.5402917066833013,
      1.5114562989760425,
      1.4833095857565484,
      1.4558251925459256,
      1.428976652141494,
      1.4027394550547336,
      1.3770935759866056,
      1.3520218674361675,
      1.3275094039392619,
      1.3035408373411852,
      1.280100428637169,
      1.257172433973411,
      1.234741344414171,
      1.2127920327179365,
      1.191309835500333,
      1.1702805969548231,
      1.1496906873588255,
      1.1295277424738823,
      1.109780525978201,
      1.0904382661739458,
      1.0714905892157347,
      1.0529270950474974,
      1.0347374896915535,
      1.0169116858574285,
      0.9994398617006739,
      0.9823124936193623,
      0.9655203714051406,
      0.9490546016370777,
      0.932906605328103,
      0.9170681108762103,
      0.9015311445208909,
      0.8862880195203331,
      0.8713313251484938,
      0.8566539145616102,
      0.8422488933179644,
      0.8281096089511665,
      0.8142296396468318,
      0.8006027842344239,
      0.7872230519845983,
      0.7740847958072,
      0.7611829864752276,
      0.7485126650705296,
      0.7360688718128483,
      0.723846701003563,
      0.711841333821414,
      0.7000480581987615,
      0.6884622792971128,
      0.6770795235146232,
      0.665895440411118,
      0.6549058013070828,
      0.6441064971129956,
      0.6334935352961867,
      0.6230630349955879,
      0.6128111719690851,
      0.6027342051965032,
      0.5928285256610324,
      0.5830906414337644,
      0.5735171674073416,
      0.5641048173469635,
      0.5548503971054365,
      0.5457508002679031,
      0.5368030035773416,
      0.5280040632304996,
      0.5193511118115463,
      0.5108413549174875,
      0.5024720687159117,
      0.49424059741084714,
      0.48614435356033114,
      0.4781814482789148,
      0.470350344228297,
      0.46264918917084125,
      0.45507595247245525,
      0.4476285088935652,
      0.44030469178404386,
      0.4331023263096467,
      0.42601925024099246,
      0.4190533265898258,
      0.412202451306917,
      0.4054645576341661,
      0.39883761843750043,
      0.3923198378331869,
      0.38590962115783417,
      0.379605292586291,
      0.3734051192457086,
      0.3673073458206302,
      0.36131021631272625,
      0.3554119875307641,
      0.34961093728263776,
      0.3439053694309942,
      0.3382936831299627,
      0.33277440850500717,
      0.32734605880444795,
      0.3220071282212344,
      0.3167561097893054,
      0.3115915067248289,
      0.30651183930738257,
      0.30151565867562846,
      0.29660156755915773,
      0.2917681853885573,
      0.28701409912864245,
      0.28233770749887027,
      0.27773744146149176,
      0.2732118501912892,
      0.2687595671006288,
      0.2643792881159482,
      0.2600697574155427,
      0.25582975793413343,
      0.2516581052282672,
      0.24755364324584297,
      0.24351544998080044,
      0.2395429066958858,
      0.23563527629662742,
      0.23179170023995338,
      0.2280112484620637,
      0.22429295147285072,
      0.220635820794809,
      0.21703886255773353,
      0.21350108567647635,
      0.21002150715003642,
      0.206599155497134,
      0.20323307258408785,
      0.1999223055256691,
      0.19666583469419135,
      0.19346263968319874,
      0.1903117587221979,
      0.18721227287465372,
      0.18416329632024625,
      0.1811639022225303,
      0.17821306144726784,
      0.17530981093455983,
      0.17245326211833803,
      0.1696425795803135,
      0.16687696745135475,
      0.16415565969826126,
      0.1614779142290997,
      0.15884300887406697,
      0.15625023824740525,
      0.15369891215401005,
      0.15118835404677364,
      0.1487179001459053,
      0.1462868988175705,
      0.14389471000621942,
      0.14154070475713432,
      0.13922426497416476,
      0.1369447830690389,
      0.13470166182584536,
      0.1324943140030309,
      0.13032216234704785,
      0.1281846391710222,
      0.12608118623620257,
      0.12401125466835469,
      0.12197430467379745,
      0.11996980548072746,
      0.1179972350482025,
      0.11605607996748056,
      0.114145835410034,
      0.11226600486756626,
      0.11041609999503633,
      0.10859564046743271,
      0.10680415376711273,
      0.1050411751874994,
      0.10330624763366265,
      0.1015989216069485,
      0.09991875478250356,
      0.0982653122215088,
      0.0966381661310628,
      0.09503689562311278,
      0.09346108663643332,
      0.09191033194600738,
      0.09038423090914105,
      0.08888238926646215,
      0.08740441924460228,
      0.08594993946847462,
      0.0845185747496924,
      0.08310995598889602,
      0.08172371991163971,
      0.08035950926711359,
      0.07901697247897414,
      0.07769576364999603,
      0.07639554267626293,
      0.0751159747969597,
      0.07385673058609826,
      0.07261748608127369,
      0.07139792253140015,
      0.07019772615994599,
      0.06901658836306017,
      0.06785420552908117,
      0.0667102788950682,
      0.0655845145800349,
      0.06447662317197016,
      0.0633863201771951,
      0.06231332560994441,
      0.06125736395490131,
      0.06021816399338047,
      0.05919545903372141,
      0.058188986693989316,
      0.05719848864959264,
      0.05622371073683207,
      0.05526440293467378,
      0.05432031920974868,
      0.0533912174555303,
      0.052476859417651504,
      0.05157701069737297,
      0.05069144059457837,
      0.049819922037863604,
      0.04896223167442091,
      0.048118149821723126,
      0.04728746021323775,
      0.046469950084724765,
      0.045665409917654026,
      0.04487363367213064,
      0.04409441846655547,
      0.04332756472460391,
      0.04257287609560244,
      0.04183015943228731,
      0.04109922460256596,
      0.040379884446090246,
      0.03967195482182623,
      0.038975254527505686,
      0.03828960517892978,
      0.037614831300738796,
      0.036950760189911204,
      0.03629722199631451,
      0.035654049470945456,
      0.0350210780454043,
      0.034398145791097685,
      0.03378509336012313,
      0.03318176390410032,
      0.032588003085627835,
      0.0320036590418191,
      0.03142858233865155,
      0.030862625864433998,
      0.030305644827847,
      0.029757496739312002,
      0.029218041433159692,
      0.028687141054446978,
      0.02816465983170943,
      0.027650464118811093,
      0.027144422464156145,
      0.02664640552931026,
      0.02615628600931801,
      0.025673938618338322,
      0.0251992399938732,
      0.02473206882508464,
      0.02427230561971007,
      0.02381983290462126,
      0.023374534994819916,
      0.02293629820264291,
      0.022505010455989165,
      0.02208056153409058,
      0.021662842928667412,
      0.02125174775619224,
      0.020847171019900933,
      0.02044900935776324,
      0.02005716094297988,
      0.019671525676795858,
      0.0192920049744936,
      0.018918501907135638,
      0.018550921025456604,
      0.018189168393004728,
      0.017833151593375167,
      0.0174827796734435,
      0.01713796306044838,
      0.016798613675350262,
      0.01646464489299496,
      0.016135971444263646,
      0.01581250920267685,
      0.015494175516394017,
      0.01518088910659897,
      0.014872569952493201,
      0.014569139193925792,
      0.014270519305589997,
      0.01397663408571792,
      0.01368740840168111,
      0.013402768347223155,
      0.013122641251508941,
      0.012846955527723424,
      0.01257564083138634,
      0.012308627701495435,
      0.012045848007184742,
      0.0117872346485756,
      0.011532721433493329,
      0.011282243339480445,
      0.01103573651890688,
      0.010793137971876855,
      0.010554385734337316,
      0.010319418836838344,
      0.01008817723711007,
      0.009860601807069793,
      0.009636634463517943,
      0.009416218080226286,
      0.009199296295576987,
      0.008985813717680228,
      0.008775715891354448,
      0.008568949008253375,
      0.008365460249166803,
      0.008165197627504953,
      0.007968110033605985,
      0.007774147180413605,
      0.007583259444114404,
      0.0073953981086530415,
      0.007210515174377164,
      0.007028563373188061,
      0.006849496180331628,
      0.006673267860815249,
      0.006499833487067226,
      0.006329148787992364,
      0.006161170172518147,
      0.0059958546921702865,
      0.005833160126764453,
      0.005673044997038427,
      0.005515468357228908,
      0.005360389965022219,
      0.005207770238226496,
      0.005057570169376003,
      0.004909751363545839,
      0.004764276021015667,
      0.004621107056374983,
      0.004480207850875355,
      0.004341542484159038,
      0.0042050755931909226,
      0.004070772328960394,
      0.00393859830877487,
      0.0038085197546219303,
      0.0036805034244696195,
      0.0035545166660583194,
      0.0034305272505843,
      0.003308503577077107,
      0.00318841449727532,
      0.003070229327181651,
      0.0029539179364888317,
      0.0028394505921948894,
      0.0027267980831909232,
      0.002615931554947982,
      0.002506822625363676,
      0.0023994434448653674,
      0.0022937666445033015,
      0.0021897652666917743,
      0.0020874127483728744,
      0.0019866829186123832,
      0.0018875499529592231,
      0.001789988647490389,
      0.0016939740399085463,
      0.0015994816615077661,
      0.0015064873647417673,
      0.0014149674191416464,
      0.001324898475576354,
      0.001236257474500083,
      0.001149021822631006,
      0.0010631692088286131,
      0.0009786776755848511,
      0.0008955256662033323,
      0.0008136919657889018,
      0.0007331556370709414,
      0.0006538960526129091,
      0.0005758930874331205,
      0.0004991267282488913,
      0.0004235774147252613,
      0.00034922587369405503,
      0.00027605313897698086,
      0.0002040404894496735,
      0.0001331695156298885,
      6.342209817953157e-05,
      -5.2194849901639065e-06,
      -7.277283196698965e-05,
      -0.00013925513586726432,
      -0.00020468344346098358,
      -0.000269074454687075,
      -0.00033244466458792353,
      -0.000394810313775369,
      -0.00045618721011349094,
      -0.0005165909436786279,
      -0.0005760370116281383,
      -0.0006345406626417744,
      -0.0006921167341507953,
      -0.0007487800287862725,
      -0.0008045449968742296,
      -0.0008594259270894452,
      -0.0009134367033873929,
      -0.0009665911776540041,
      -0.0010189029377760657,
      -0.0010703853164331205,
      -0.0011210515517771154,
      -0.001170914565657653,
      -0.0012199870780782661,
      -0.0012682815743286372,
      -0.0013158104178104268,
      -0.001362585726575124,
      -0.0014086194846647114,
      -0.0014539235128377763,
      -0.0014985092922853347,
      -0.0015423881814882903,
      -0.0015855714099047547,
      -0.0016280699502878554,
      -0.0016698947081140198,
      -0.0017110563925603803,
      -0.001751565539570003,
      -0.0017914324832516962,
      -0.0018306673836353017,
      -0.0018692802284038825,
      -0.0019072809103930816,
      -0.001944679158155257,
      -0.001981484466088975,
      -0.0020177062270811496,
      -0.0020533537058298416,
      -0.002088435992455336,
      -0.00212296203190497,
      -0.0021569407543199043,
      -0.002190380817724301,
      -0.0022232906991688267,
      -0.002255678804285052,
      -0.0022875534621540077,
      -0.0023189227989569424
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334865986745882,
      10.094015354260787,
      9.84706957668997,
      9.596799773371345,
      9.345632101405807,
      9.095666516806968,
      8.848649594835932,
      8.60596330265614,
      8.368631518525548,
      8.137334585243035,
      7.912438127191749,
      7.694037630182055,
      7.482008869897165,
      7.27605987740032,
      7.075780890004286,
      6.880690544470267,
      6.69027524310008,
      6.5040208346494675,
      6.321439236529413,
      6.142086215344413,
      5.965573012941169,
      5.791565636365453,
      5.619796378093763,
      5.450080797598532,
      5.282314976066463,
      5.116469071520509,
      4.952582431239031,
      4.7907727258452,
      4.631244914413209,
      4.4742955885901425,
      4.320259652465684,
      4.169497461188873,
      4.022390428617206,
      3.8793309919487005,
      3.740697832731658,
      3.606837510327269,
      3.478054420142993,
      3.354603241241461,
      3.236683847337915,
      3.124438696264462,
      3.0179466930337044,
      2.9172126860881864,
      2.82217043377716,
      2.7326703758282096,
      2.6485022775819025,
      2.5694249809905685,
      2.4951887082849846,
      2.42553528269063,
      2.3601965077623652,
      2.298893274992159,
      2.2413209357718853,
      2.187107926131702,
      2.135891497325084,
      2.0873317683819685,
      2.041107553942981,
      1.9969246923402926,
      1.9545456503726655,
      1.9137758378412981,
      1.874454024359075,
      1.8364511768404004,
      1.79965883518262,
      1.7639799853463298,
      1.7293335645687289,
      1.6956531643801138,
      1.6628830120660185,
      1.6309751742884955,
      1.599887601173346,
      1.569582750827714,
      1.5400266169642558,
      1.5111880341840325,
      1.4830382153682073,
      1.4555508203272023,
      1.4286993963559431,
      1.402459566266674,
      1.3768113205084727,
      1.3517376511738548,
      1.3272235943369077,
      1.3032536904115208,
      1.279812126507501,
      1.2568831096498922,
      1.2344510991031745,
      1.2125009461651544,
      1.1910179732639776,
      1.1699880153786828,
      1.1493974366533912,
      1.1292338886621063,
      1.1094861337968147,
      1.0901434014115554,
      1.0711953114358852,
      1.0526314554418816,
      1.0344415336443376,
      1.0166154549864634,
      0.9991433948671928,
      0.9820158279765872,
      0.9652235426722544,
      0.9487576448712783,
      0.9326095546691323,
      0.9167709995345499,
      0.9012340055695657,
      0.885990885558475,
      0.8710342279038271,
      0.8563568853470167,
      0.8419519633770223,
      0.8278128090309691,
      0.8139330001211126,
      0.8003063350644868,
      0.7869268225431258,
      0.7737889434930714,
      0.7608876743482884,
      0.748218004870317,
      0.7357749419614977,
      0.7235535582289429,
      0.7115490211263621,
      0.6997566095269008,
      0.6881717221040716,
      0.6767898813112415,
      0.6656067342440974,
      0.6546180503062285,
      0.6438197192796999,
      0.6332077474905438,
      0.6227782529120902,
      0.6125274098454789,
      0.6024514772656667,
      0.5925468459411146,
      0.5828100239934138,
      0.5732376258858852,
      0.5638263650001923,
      0.5545730470722922,
      0.5454745654732965,
      0.5365278966278468,
      0.5277300964555546,
      0.5190782968643889,
      0.5105697032587289,
      0.5022015915050395,
      0.4939713050600759,
      0.4858763014902293,
      0.47791475211983203,
      0.47008507821066303,
      0.46238540161863545,
      0.45481367477853474,
      0.44736776158289343,
      0.44004548842339397,
      0.43284467581031166,
      0.4257631584789924,
      0.41879879742618487,
      0.4119494872647759,
      0.40521316043970523,
      0.3985877891722183,
      0.39207160157981236,
      0.38566300325875724,
      0.37936030826551104,
      0.3731617771274832,
      0.36706565022491117,
      0.36107016864094926,
      0.35517358731980503,
      0.3493741828285413,
      0.34367025817592267,
      0.338060222512499,
      0.33254260561062754,
      0.32711591623689407,
      0.3217786456506786,
      0.3165292848132726,
      0.3113663355658343,
      0.3062883172992131,
      0.30129378263918466,
      0.29638133403408207,
      0.29154958967628475,
      0.2867971375079569,
      0.28212237814699115,
      0.2775237408492952,
      0.2729997735803179,
      0.2685491090712103,
      0.26417044256920524,
      0.25986251795265225,
      0.2556241179528377,
      0.2514540579277348,
      0.2473511816167507,
      0.24331458017548105,
      0.2393436354554844,
      0.23543760485943172,
      0.23159562622601182,
      0.22781676704298798,
      0.22410005623861148,
      0.22044450437157864,
      0.2168491167628626,
      0.21331290189794608,
      0.2098348764689505,
      0.20641406874411045,
      0.20304952041902424,
      0.1997402761507557,
      0.19648531327091698,
      0.19328361333731087,
      0.19013421567576724,
      0.1870362021551373,
      0.18398868753481398,
      0.18099080873158482,
      0.17804159432463637,
      0.17514003750835788,
      0.1722852213796586,
      0.16947629208846374,
      0.16671244152928866,
      0.1639928957741301,
      0.16131690758226924,
      0.1586837512599351,
      0.15609271926662,
      0.1535431199448566,
      0.15103427582482992,
      0.1485655224918731,
      0.14613620790471346,
      0.14374569184467972,
      0.14139334526549097,
      0.13907854998651495,
      0.1368006984431448,
      0.13455919332809085,
      0.13235344752980432,
      0.1301828837645144,
      0.12804693438367878,
      0.12594504129294415,
      0.12387665563981333,
      0.12184123772688277,
      0.11983825683859912,
      0.1178671910388863,
      0.11592752690112847,
      0.11401875964032479,
      0.11214039285286487,
      0.11029193818157,
      0.10847291541391067,
      0.10668285211046795,
      0.1049212836151563,
      0.10318775295737868,
      0.10148181063990602,
      0.09980301452141077,
      0.09815092977481227,
      0.09652512857108544,
      0.09492519007946432,
      0.09335070031974085,
      0.09180125208239281,
      0.09027644482751014,
      0.08877588456232197,
      0.08729918365211375,
      0.08584596065660233,
      0.08441584037877868,
      0.08300845377333402,
      0.0816234377845689,
      0.0802604351226802,
      0.0789190943851611,
      0.07759906977257088,
      0.07630002104064013,
      0.0750216135107018,
      0.07376351811579977,
      0.07252541084994565,
      0.07130697292590119,
      0.07010789085333441,
      0.06892785616058353,
      0.06776656515427254,
      0.06662371917621288,
      0.06549902427115165,
      0.0643921913555957,
      0.06330293592717358,
      0.062230978074132574,
      0.06117604226294879,
      0.06013785757799847,
      0.05911615735507976,
      0.05811067924721067,
      0.05712116505207325,
      0.05614736068207459,
      0.055189016187991484,
      0.05424588562627405,
      0.053317726893554046,
      0.052404301827106724,
      0.0515053760685896,
      0.05062071905641604,
      0.049750103963066866,
      0.04889330748037171,
      0.04805010988883725,
      0.047220294984823705,
      0.04640365002691402,
      0.04559996571487179,
      0.04480903602248348,
      0.044030658230489475,
      0.04326463293717576,
      0.04251076376971809,
      0.041768857539968396,
      0.041038724138395564,
      0.04032017662442534,
      0.039613030909395566,
      0.03891710578390246,
      0.038232223016864644,
      0.03755820721773685,
      0.03689488587210832,
      0.03624208906985347,
      0.03559964969529033,
      0.03496740323354823,
      0.03434518776498837,
      0.03373284401430481,
      0.03313021523787772,
      0.03253714726727177,
      0.03195348825724222,
      0.03137908878004722,
      0.030813801871672424,
      0.03025748283297949,
      0.029709989313588637,
      0.029171181181729282,
      0.02864092061287081,
      0.02811907188825591,
      0.027605501551397828,
      0.027100078083360277,
      0.026602672285650594,
      0.02611315689583434,
      0.025631406547876347,
      0.025157298044920534,
      0.024690710170130123,
      0.024231523651333017,
      0.0237796209741514,
      0.023334886431046382,
      0.022897206342843344,
      0.02246646877275582,
      0.02204256353338677,
      0.021625382251552343,
      0.021214818160330922,
      0.020810766355236137,
      0.02041312345333835,
      0.020021787710081215,
      0.01963665908510134,
      0.01925763921283863,
      0.018884631163672217,
      0.01851753940764343,
      0.018156270089091178,
      0.017800730817679706,
      0.017450830764652255,
      0.017106480383081785,
      0.0167675917377671,
      0.01643407823653173,
      0.016105854558333795,
      0.015782836815137615,
      0.015464942286366707,
      0.01515208980714025,
      0.014844199392894875,
      0.014541192263070173,
      0.014242990907274888,
      0.013949519144178446,
      0.013660701937230247,
      0.013376465469374727,
      0.013096736987054195,
      0.012821445081190326,
      0.012550519381620233,
      0.012283890624675824,
      0.012021490610552911,
      0.011763252304645996,
      0.01150910967648107,
      0.011258997733295605,
      0.01101285252587598,
      0.010770611209594072,
      0.010532211873988215,
      0.010297593567099694,
      0.010066696259977253,
      0.00983946087195138,
      0.009615829401525848,
      0.009395744628675982,
      0.009179150361133573,
      0.008965991226747412,
      0.008756212786897418,
      0.008549761348278102,
      0.00834658417849794,
      0.008146629381930245,
      0.007949845784973915,
      0.007756183155240664,
      0.007565592036148386,
      0.007378023750141206,
      0.007193430118348767,
      0.007011764054279663,
      0.006832979124263663,
      0.006657029651754326,
      0.0064838706652043205,
      0.0063134579250733475,
      0.006145747750128534,
      0.005980697412522246,
      0.005818264721454943,
      0.005658408112118737,
      0.005501086749548132,
      0.005346260420347842,
      0.005193889450405042,
      0.005043935051964195,
      0.004896358833953143,
      0.004751123102996342,
      0.0046081907346553685,
      0.0044675251675519645,
      0.00432909059708929,
      0.004192851529402438,
      0.004058773119382445,
      0.003926821205484649,
      0.003796961927567041,
      0.003669162077443296,
      0.003543389127579709,
      0.003419610804320684,
      0.0032977955975756297,
      0.003177912299732659,
      0.0030599302076531874,
      0.0029438192628757883,
      0.002829549787529844,
      0.0027170924695374583,
      0.0026064186290466317,
      0.002497500036033116,
      0.0023903088248641902,
      0.0022848176139420957,
      0.0021809994555271888,
      0.0020788278379347833,
      0.0019782766134340064,
      0.0018793199779880859,
      0.001781932745799518,
      0.0016860899636986647,
      0.0015917671696279747,
      0.0014989402583582751,
      0.0014075856033075556,
      0.0013176798235444778,
      0.0012291999403113356,
      0.0011421232105057867,
      0.0010564274061602358,
      0.0009720906191785291,
      0.0008890913407146838,
      0.0008074083257400315,
      0.0007270207577902424,
      0.000647908186431322,
      0.0005700503132186956,
      0.0004934271664816176,
      0.0004180192392699896,
      0.0003438072855757422,
      0.0002707723592070541,
      0.00019889567570563585,
      0.00012815892052493158,
      5.8543947912759894e-05,
      -9.966933997198192e-06,
      -7.739129356685465e-05,
      -0.00014374634563708058,
      -0.0002090490825552873,
      -0.00027331621381951993,
      -0.0003365640979654728,
      -0.0003988089342044471,
      -0.00046006665413340724,
      -0.0005203527871569077,
      -0.000579682737666161,
      -0.0006380717118616723,
      -0.0006955346885733323,
      -0.0007520864270541086,
      -0.0008077413150682134,
      -0.0008625135907682258,
      -0.0009164171886337956,
      -0.0009694658641501495,
      -0.0010216731970039057,
      -0.0010730525806548874,
      -0.0011236171668989007,
      -0.0011733798537933513,
      -0.001222353272755309,
      -0.001270549965408132,
      -0.0013179823372666097,
      -0.0013646625221052098,
      -0.0014106024167399775,
      -0.0014558137278434596,
      -0.0015003079988108342,
      -0.001544096680504582,
      -0.0015871908772119743,
      -0.0016296016000598107,
      -0.0016713397214991833,
      -0.0017124158587586945,
      -0.0017528405554361917,
      -0.0017926241065593384,
      -0.0018317767329187487,
      -0.001870308417219247,
      -0.0019082290643259114,
      -0.0019455483557937437,
      -0.0019822757623374847,
      -0.002018420644500042,
      -0.002053992245019649,
      -0.002088999661446996,
      -0.0021234519326956258,
      -0.0021573578331829098,
      -0.0021907259639145672,
      -0.0022235649011864062,
      -0.002255883026544696,
      -0.002287688629674409,
      -0.0023189899283313415
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334862368777868,
      10.094002760004646,
      9.847041981583809,
      9.596752472003663,
      9.345561789693814,
      9.09557098819925,
      8.848527496465262,
      8.60581400332718,
      8.36845498545079,
      8.137131041268734,
      7.912207931543407,
      7.693781187350857,
      7.481726571982038,
      7.275752075005288,
      7.07544788683569,
      6.880332587173407,
      6.689892563182153,
      6.503613693601925,
      6.321007966291115,
      6.141631303893826,
      5.965095157704921,
      5.791065786518247,
      5.619275704954293,
      5.449540741875794,
      5.281757303270106,
      5.115895711872789,
      4.9519954215053525,
      4.790174373903008,
      4.630638400001785,
      4.473684474329719,
      4.319647481864517,
      4.168887789802743,
      4.021786830649431,
      3.8787370341955514,
      3.74011682995807,
      3.6062724745661514,
      3.4775080137183965,
      3.3540777398226056,
      3.236181119053732,
      3.123960193331736,
      3.0174933036730356,
      2.9167847966530394,
      2.821767824036036,
      2.7322921156968785,
      2.648146916116312,
      2.5690908657672655,
      2.4948740238584737,
      2.425238129323077,
      2.3599149130247365,
      2.2986251837269474,
      2.241064110558146,
      2.186859859881264,
      2.135650020695904,
      2.0870948815051404,
      2.0408734058365696,
      1.9966917339119592,
      1.9543126795356451,
      1.9135418691189199,
      1.8742183599310023,
      1.8362133210044607,
      1.7994184027704738,
      1.7637366491857351,
      1.7290871204467748,
      1.6954034937501925,
      1.6626300565493266,
      1.630718917048373,
      1.5996280538775263,
      1.5693199445429356,
      1.5397605952161653,
      1.5109188500202408,
      1.4827659383784104,
      1.4552755540331743,
      1.4284212591377743,
      1.4021788090696223,
      1.3765282095335094,
      1.351452591575881,
      1.3269369540061613,
      1.3029657249242028,
      1.2795230173888148,
      1.2565929896507977,
      1.2341600692721988,
      1.212209085580343,
      1.190725347225541,
      1.1696946797745276,
      1.1491034413993064,
      1.1289393000577632,
      1.1091910162607,
      1.0898478200756279,
      1.0708993258377282,
      1.0523351167182495,
      1.0341448873535855,
      1.016318542541444,
      0.9988462554122601,
      0.981718498930076,
      0.964926059698683,
      0.9484600425023785,
      0.9323118668125188,
      0.916473259565523,
      0.9009362461584186,
      0.8856931388943164,
      0.8707365259085624,
      0.8560592594729344,
      0.8416544447502039,
      0.8275154282294206,
      0.8136357872986081,
      0.800009319759382,
      0.786630039784326,
      0.7734925534556089,
      0.7605918368667608,
      0.7479228299545081,
      0.7354805069567716,
      0.7232599193612572,
      0.7112562207584324,
      0.6994646808997841,
      0.6878806926450871,
      0.6764997746950648,
      0.6653175710339763,
      0.6543298492908521,
      0.6435324979040371,
      0.6329215223255886,
      0.6224930394522893,
      0.6122432224969708,
      0.6021683302401063,
      0.5922647533003585,
      0.5825289996611821,
      0.5729576835749531,
      0.5635475181315895,
      0.5542953089158243,
      0.5451979486950618,
      0.5362524134400132,
      0.5274557587581347,
      0.5188051165836035,
      0.5102976917370082,
      0.5019307596724847,
      0.49370166367514884,
      0.4856079059548956,
      0.4776477179868745,
      0.4698194795997721,
      0.462121286480516,
      0.4545510743781888,
      0.4471066963844528,
      0.4397859719484789,
      0.43258671709378266,
      0.4255067634867666,
      0.4185439700498735,
      0.41169623007588113,
      0.4049614750015592,
      0.3983376763187504,
      0.3918230864686333,
      0.38541611119666874,
      0.3791150543818266,
      0.37291816981566134,
      0.3668236934375228,
      0.36082986357963015,
      0.35493493339933935,
      0.3491371782748233,
      0.34343490017104317,
      0.33782651840026784,
      0.3323105626740189,
      0.32688553706134327,
      0.32154992967252044,
      0.31630222968820404,
      0.31114093767602174,
      0.3060645720622699,
      0.3010716866808208,
      0.296160883826305,
      0.2913307805675039,
      0.2865799657093527,
      0.28190684171734637,
      0.27730983608944626,
      0.2727874957586657,
      0.26833845262120665,
      0.26396140161235765,
      0.25965508615706495,
      0.2554182886809733,
      0.2512498243050591,
      0.2471485365335651,
      0.24311352979694623,
      0.23914418635628934,
      0.23523975810955736,
      0.23139937937636357,
      0.22762211521894476,
      0.2239069928410894,
      0.2202530218849596,
      0.21665920707464167,
      0.21312455634794994,
      0.20964808606059102,
      0.20622882422594427,
      0.2028658122243271,
      0.19955809252952178,
      0.1963046393632229,
      0.1931044362037654,
      0.18995652358238038,
      0.18685998421822925,
      0.18381393330519752,
      0.1808175120520794,
      0.17786984422102267,
      0.17496993101577255,
      0.17211681694033967,
      0.16930962284687062,
      0.16654752406903944,
      0.16382973593515884,
      0.16115550413053523,
      0.1585240983019076,
      0.15593480788835648,
      0.15338693917720722,
      0.15087981344121998,
      0.14841276547617419,
      0.14598514276916705,
      0.14359630461500297,
      0.1412456217813463,
      0.13893247611195317,
      0.13665625990735403,
      0.13441637599833217,
      0.1322122371113849,
      0.1300432660852761,
      0.1279088953538611,
      0.12580856678901936,
      0.12374173164206595,
      0.12170785029143828,
      0.11970639201887419,
      0.1177368349274061,
      0.11579866580484088,
      0.11389137990010462,
      0.11201448072017657,
      0.1101674800952931,
      0.10834989778768837,
      0.10656126152704541,
      0.10480110676653907,
      0.10306897661065773,
      0.1013644216030222,
      0.09968699968561189,
      0.0980362760866381,
      0.09641182308753521,
      0.09481321990886668,
      0.09324005265152721,
      0.09169191419168224,
      0.09016840407980739,
      0.08866912825934165,
      0.08719369915084409,
      0.08574173556162505,
      0.08431286238538323,
      0.08290671051728048,
      0.08152291699369676,
      0.08016112472745802,
      0.07882098231785688,
      0.07750214412606858,
      0.07620427005937364,
      0.07492702556270192,
      0.07367008144550778,
      0.07243311381101465,
      0.07121580404264312,
      0.07001783858340703,
      0.0688389090234347,
      0.06767871186914488,
      0.06653694848589763,
      0.06541332510953825,
      0.06430755271988252,
      0.06321934680109594,
      0.06214842758027471,
      0.06109451973583663,
      0.06005735229148155,
      0.05903665868182266,
      0.05803217664361966,
      0.05704364806261629,
      0.056070818927939615,
      0.05511343934640589,
      0.05417126343562251,
      0.053244049238259546,
      0.05233155863175489,
      0.05143355741196095,
      0.05054981512724338,
      0.049680104910786435,
      0.04882420364131431,
      0.047981891663248705,
      0.04715295282523075,
      0.04633717438221876,
      0.04553434720035474,
      0.0447442653612152,
      0.0439667261697618,
      0.04320153033048851,
      0.04244848150326248,
      0.04170738660530624,
      0.040978055725054044,
      0.04026030182177917,
      0.03955394094877358,
      0.03885879205551138,
      0.03817467697912193,
      0.03750142041193989,
      0.03683884974936908,
      0.03618679528572186,
      0.03554509000104758,
      0.03491356951408455,
      0.034292071962604656,
      0.03368043808476866,
      0.03307851123363163,
      0.03248613712832352,
      0.031903164072511564,
      0.03132944277548266,
      0.030764826240098585,
      0.030209170053685046,
      0.029662331887465265,
      0.029124171716632268,
      0.028594551686572715,
      0.02807333618504045,
      0.027560391725077755,
      0.027055587072407298,
      0.026558792973841856,
      0.026069882192651418,
      0.025588729532359994,
      0.02511521183078268,
      0.02464920787876454,
      0.024190598499398933,
      0.02373926623436015,
      0.023295095603157883,
      0.02285797284817666,
      0.022427786100287554,
      0.022004425214246875,
      0.021587781942029826,
      0.021177749604280607,
      0.020774223302315868,
      0.020377099774571708,
      0.019986277361034303,
      0.019601656025018163,
      0.019223137387415486,
      0.018850624633990898,
      0.01848402236511727,
      0.01812323677532339,
      0.017768175603954314,
      0.017418747970650784,
      0.017074864471111832,
      0.016736437125419088,
      0.016403379313242566,
      0.016075605847932512,
      0.015753032858662166,
      0.015435577767130192,
      0.015123159396388612,
      0.01481569780518827,
      0.014513114343644475,
      0.014215331618265948,
      0.01392227358305104,
      0.013633865190247918,
      0.0133500324905616,
      0.013070702960313745,
      0.012795805197712019,
      0.01252526885924595,
      0.012259024708246191,
      0.011997004629441496,
      0.011739141616403725,
      0.011485369724866743,
      0.011235624055920405,
      0.010989840730474086,
      0.01074795691206275,
      0.010509910630332242,
      0.010275641040579125,
      0.010045088216822458,
      0.009818193171036277,
      0.0095948977873032,
      0.009375144943491641,
      0.00915887858623365,
      0.008946043409073026,
      0.008736584896516762,
      0.008530449453428304,
      0.00832758431570076,
      0.008127937635685072,
      0.007931458291583777,
      0.00773809609401933,
      0.007547801639794423,
      0.007360526264556365,
      0.0071762219469179754,
      0.006994841648359885,
      0.006816338924831684,
      0.006640668189800923,
      0.006467784554489809,
      0.0062976436516033645,
      0.006130202027598687,
      0.0059654168446004125,
      0.005803245890436064,
      0.005643647807750134,
      0.005486581746670756,
      0.0053320075800697385,
      0.005179885739617208,
      0.005030177213274758,
      0.004882843652832383,
      0.004737847528790876,
      0.004595151804959361,
      0.004454719958455732,
      0.004316516027099248,
      0.004180504691047374,
      0.004046651204112647,
      0.003914921301746749,
      0.0037852812129571325,
      0.0036576978203792317,
      0.0035321385937918527,
      0.0034085713417464063,
      0.0032869644540088065,
      0.0031672868155663532,
      0.003049507799158566,
      0.0029335973674872264,
      0.002819525757909212,
      0.0027072638180922455,
      0.0025967828782693827,
      0.002488054683365127,
      0.0023810513836985472,
      0.0022757457310976044,
      0.002172110819240006,
      0.002070120073446692,
      0.0019697473690890163,
      0.0018709669606921647,
      0.0017737536735758447,
      0.0016780826522481427,
      0.0015839294028593528,
      0.0014912698242779989,
      0.0014000803106919192,
      0.0013103375124894092,
      0.0012220185056540421,
      0.0011351006251159137,
      0.0010495616877599213,
      0.0009653798224847834,
      0.0008825334862006952,
      0.0008010014681633994,
      0.0007207628578275564,
      0.0006417971915313431,
      0.0005640843086515643,
      0.00048760431061936155,
      0.00041233769275667183,
      0.00033826517856820187,
      0.0002653678222385452,
      0.00019362696602649975,
      0.0001230241988024822,
      5.354154459366221e-05,
      -1.483879887446316e-05,
      -8.213433896709213e-05,
      -0.00014836228726532587,
      -0.00021353954424475945,
      -0.0002776827848430582,
      -0.00034080837099007634,
      -0.0004029324479812961,
      -0.0004640709057917664,
      -0.0005242395053528383,
      -0.0005834535394606169,
      -0.0006417282109346975,
      -0.0006990783614779002,
      -0.0007555186191140241,
      -0.0008110634745906339,
      -0.0008657271157267271,
      -0.0009195235085309273,
      -0.0009724664774031633,
      -0.0010245695432309976,
      -0.0010758460654516412,
      -0.0011263090972905817,
      -0.0011759715453402435,
      -0.0012248460990820582,
      -0.0012729452617705353,
      -0.001320281291422826,
      -0.00136686636985845,
      -0.00141271235759254,
      -0.0014578310315136857,
      -0.0015022339593732553,
      -0.0015459324623429231,
      -0.0015889376723544285,
      -0.0016312606138760627,
      -0.0016729121009590444,
      -0.0017139027540841046,
      -0.0017542430420976107,
      -0.0017939433040608465,
      -0.0018330137071385462,
      -0.0018714642802480951,
      -0.0019093048325337365,
      -0.001946545042758069,
      -0.001983194465430082,
      -0.0020192624921736993,
      -0.002054758286538952,
      -0.002089691004758522,
      -0.00212406958977297,
      -0.0021579027618569193,
      -0.002191199154607338,
      -0.002223967310754691,
      -0.0022562156329233975,
      -0.0022879523720871187,
      -0.0023191856411075604
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.3348587474538,
      10.093990150552754,
      9.847014345508859,
      9.596705092768378,
      9.345491354130225,
      9.095475285429211,
      8.84840517099493,
      8.60566442418534,
      8.368278117296978,
      8.136927107428072,
      7.911977290740346,
      7.693524243454353,
      7.481443718246698,
      7.275443663313771,
      7.075114221591888,
      6.879973915843366,
      6.689509116356736,
      6.503205732205535,
      6.320575820716135,
      6.141175463350168,
      5.9646163215795855,
      5.7905649054044614,
      5.618753950945566,
      5.448999556873855,
      5.281198455598446,
      5.11532113391749,
      4.951407152502798,
      4.789574725945785,
      4.630030558109487,
      4.4730720057327185,
      4.3190339353935325,
      4.1682767270783385,
      4.021181831263005,
      3.878141671270244,
      3.7395344237720183,
      3.605706041727384,
      3.476960219667295,
      3.3535508642233145,
      3.235677033290272,
      3.1234803523680728,
      3.0170385980103,
      2.9163556132422785,
      2.8213639417880403,
      2.7319126037762143,
      2.6477903237907756,
      2.568755539393314,
      2.494558147805497,
      2.4249398042985457,
      2.3596321669402363,
      2.298355961818281,
      2.240806175938693,
      2.18661070618329,
      2.135407478754123,
      2.0868569271861865,
      2.040638164418723,
      1.996457672455754,
      1.9540786063199804,
      1.9133068066732155,
      1.8739816163278287,
      1.8359744032768255,
      1.7991769272387448,
      1.763492288773692,
      1.7288396710261056,
      1.6951528372113065,
      1.662376134293494,
      1.6304617116752453,
      1.5993675762063355,
      1.5690562250741904,
      1.5394936779109203,
      1.5106487872339387,
      1.482492799006738,
      1.454999441620629,
      1.4281422912842336,
      1.4018972362621094,
      1.3762442979952796,
      1.351166746614637,
      1.3266495434963623,
      1.3026770045179517,
      1.2792331683269025,
      1.2563021442988924,
      1.2338683276371354,
      1.2119165266735077,
      1.1904320359364955,
      1.1694006724615946,
      1.1488087878585973,
      1.1286440663916006,
      1.1088952668701668,
      1.089551620106178,
      1.0706027347217413,
      1.0520381850670433,
      1.0338476601881361,
      1.016021061134206,
      0.9985485582513784,
      0.9814206223136271,
      0.9646280390800116,
      0.9481619122483155,
      0.9320136607137421,
      0.9161750110315833,
      0.9006379876910244,
      0.8853949025668604,
      0.8704383432253691,
      0.8557611616252019,
      0.8413564624043949,
      0.8272175917631565,
      0.8133381267221281,
      0.7997118647288332,
      0.7863328869221891,
      0.7731958896493121,
      0.7602957888402865,
      0.7476274857697336,
      0.7351859299359492,
      0.7229661564401141,
      0.7109633082417509,
      0.699172648168942,
      0.6875895647170122,
      0.6762095734625589,
      0.6650283164623152,
      0.654041559861673,
      0.6432451909446577,
      0.6326352143257259,
      0.6222077455048802,
      0.6119589562854859,
      0.6018851058966779,
      0.5919825851200772,
      0.5822479014018391,
      0.5726776688163012,
      0.5632686002451336,
      0.5540175010267965,
      0.5449212634843631,
      0.5359768634724262,
      0.5271813560650922,
      0.5185318727980818,
      0.5100256182974633,
      0.5016598674856486,
      0.493431963382184,
      0.48533945300038867,
      0.4773806277956373,
      0.4695538262979325,
      0.46185711810901003,
      0.45428842224892585,
      0.4468455809400774,
      0.4395264065189707,
      0.43232871040234866,
      0.4252503212441594,
      0.4182890960756851,
      0.41144292687420925,
      0.4047097440221398,
      0.39808753097631266,
      0.3915745573051711,
      0.3851692167361469,
      0.37886980520299735,
      0.37267457154524253,
      0.3665817484245351,
      0.3605895720960234,
      0.3546962941937601,
      0.3489001889899819,
      0.34319955793186263,
      0.3375928303064825,
      0.33207853567892737,
      0.3266551736133322,
      0.3213212292628534,
      0.3160751899274959,
      0.31091555481372035,
      0.3058408414346901,
      0.30084960516375786,
      0.29594044765948796,
      0.2911119849944503,
      0.28636280706532785,
      0.2816913181345603,
      0.2770959439173696,
      0.27257523018780944,
      0.26812780815991033,
      0.26375237234312476,
      0.25944766568408817,
      0.2552124701882212,
      0.251045600840295,
      0.24694590109937656,
      0.24291248864480083,
      0.23894474600702525,
      0.23504191962958823,
      0.23120314023612382,
      0.22742747055127566,
      0.22371393632068914,
      0.2200615460536169,
      0.21646930373777967,
      0.21293621675025054,
      0.20946130112248476,
      0.2060435846757658,
      0.20268210875402298,
      0.19937591332950017,
      0.196123969437467,
      0.1929252625905497,
      0.18977883457507833,
      0.18668376875632958,
      0.1836391808501271,
      0.18064421246437357,
      0.17769802687828848,
      0.17479970559892455,
      0.17194826069493918,
      0.16914278131673774,
      0.1663824219164538,
      0.16366638408013895,
      0.16099390457875573,
      0.15836424736652105,
      0.15577669793920673,
      0.1532305600754081,
      0.15072515346725301,
      0.1482598120286961,
      0.14583388244295034,
      0.14344672380953394,
      0.14109770658298126,
      0.13878621233980976,
      0.13651163341235925,
      0.13427337255424038,
      0.1320708425602018,
      0.1299034662466021,
      0.12777067599142086,
      0.12567191379908596,
      0.12360663092379377,
      0.12157428775071408,
      0.11957435375610953,
      0.11760630714606715,
      0.11566963464360211,
      0.11376383154435372,
      0.11188840160246717,
      0.11004285653033728,
      0.10822671625559115,
      0.10643950858148417,
      0.10468076900022856,
      0.10295004070981431,
      0.10124687433206483,
      0.099570827935452,
      0.09792146665638896,
      0.09629836283423374,
      0.0947010959545588,
      0.09312925224785207,
      0.0915824246673545,
      0.0900602126802492,
      0.0885622223164745,
      0.087088066062296,
      0.08563736284313665,
      0.08420973771724095,
      0.08280482169895982,
      0.08142225178435361,
      0.08006167093110507,
      0.07872272792909332,
      0.07740507719319241,
      0.07610837869076932,
      0.0748322978824345,
      0.0735765056986384,
      0.07234067834172594,
      0.07112449735229395,
      0.06992764926508058,
      0.06874982562058207,
      0.06759072301040564,
      0.06645004296622872,
      0.06532749177794901,
      0.06422278047219107,
      0.0631356246747198,
      0.062065744648783124,
      0.061012865166255315,
      0.05997671540164887,
      0.058957028858350566,
      0.05795354326009904,
      0.05696600054705234,
      0.055994146951489805,
      0.055037732685416424,
      0.054096511862188904,
      0.05317024272294899,
      0.05225868713033709,
      0.05136161094770912,
      0.05047878376198141,
      0.04960997884672453,
      0.04875497308809267,
      0.04791354679365498,
      0.04708548407775767,
      0.046270572376473654,
      0.045468602509979236,
      0.044679368684291204,
      0.043902668328009715,
      0.04313830199180212,
      0.04238607366114759,
      0.04164579027035239,
      0.040917261909116084,
      0.04020030169102302,
      0.03949472577024154,
      0.03880035311882017,
      0.03811700573442665,
      0.03744450843345205,
      0.03678268868373727,
      0.036131376711415746,
      0.03549040549090799,
      0.03485961081264615,
      0.034238830954030346,
      0.03362790672935815,
      0.033026681536531474,
      0.0324350012484056,
      0.031852714234639694,
      0.03127967125935367,
      0.030715725439182016,
      0.0301607321973988,
      0.02961454935452652,
      0.029077037024358654,
      0.028548057538111158,
      0.028027475256188015,
      0.02751515678232355,
      0.027010970919172053,
      0.026514788524150668,
      0.026026482328890165,
      0.025545927325793687,
      0.025073000425238082,
      0.02460758043840037,
      0.024149548201127205,
      0.023698786304837252,
      0.02325517942589916,
      0.022818613912148334,
      0.022388977872692468,
      0.021966161299611184,
      0.021550055917046524,
      0.02114055524719876,
      0.020737554365086685,
      0.020340949983736,
      0.019950640679620137,
      0.019566526425163305,
      0.019188508852371843,
      0.01881649121090698,
      0.018450378205154973,
      0.018090076212763543,
      0.01773549289848321,
      0.01738653741860232,
      0.017043120503854182,
      0.016705154141317017,
      0.016372551795737746,
      0.01604522831193407,
      0.01572309989284416,
      0.015406084050827131,
      0.015094099691471637,
      0.01478706696739924,
      0.014484907238619355,
      0.014187543190765501,
      0.013894898627072971,
      0.013606898627631684,
      0.013323469497461679,
      0.01304453871280901,
      0.012770034833702395,
      0.012499887650428391,
      0.012234027971396418,
      0.011972387765544018,
      0.01171490002255101,
      0.01146149887167648,
      0.011212119361612967,
      0.010966697676415716,
      0.010725170974151547,
      0.010487477401252637,
      0.01025355620616727,
      0.010023347545381157,
      0.009796792477815983,
      0.009573832994332163,
      0.009354412019088166,
      0.009138473408291046,
      0.008925961825308353,
      0.00871682287351647,
      0.008511003099011604,
      0.008308449799899401,
      0.008109111093190785,
      0.007912935940156013,
      0.007719874187671707,
      0.007529876422405947,
      0.00734289399971341,
      0.007158879017837883,
      0.006977784390741289,
      0.006799563771704676,
      0.006624171594005994,
      0.006451562955452057,
      0.0062816936905580965,
      0.006114520254304519,
      0.005949999882107749,
      0.005788090466393393,
      0.00562875064584498,
      0.005471939553979766,
      0.005317617053187906,
      0.005165743672606187,
      0.005016280574023424,
      0.004869189507625978,
      0.004724432750890115,
      0.004581973431313209,
      0.004441775006241615,
      0.004303801564835778,
      0.0041680177888640665,
      0.004034388992111152,
      0.0039028809778968872,
      0.0037734599876164524,
      0.0036460929116299778,
      0.0035207470575775684,
      0.003397390473769889,
      0.0032759916072139577,
      0.003156519377258504,
      0.003038943104304658,
      0.002923232694773337,
      0.0028093586246676462,
      0.002697291791928628,
      0.0025870034912784494,
      0.0024784655369292485,
      0.00237165010729061,
      0.0022665298647795685,
      0.002163077994950785,
      0.002061267878374338,
      0.001961073469735823,
      0.0018624691447635187,
      0.0017654295930818107,
      0.001669930043383703,
      0.00157594608977835,
      0.0014834536914649368,
      0.001392429186502677,
      0.0013028493006868565,
      0.0012146910624771406,
      0.0011279318464969329,
      0.0010425495327612794,
      0.0009585222671058784,
      0.0008758285599029066,
      0.000794447195405995,
      0.0007143573010450205,
      0.0006355384372846835,
      0.0005579704854388689,
      0.00048163347987531296,
      0.00040650795576953856,
      0.0003325747260955893,
      0.00025981479391228154,
      0.0001882095957380219,
      0.00011774080777459462,
      4.839040751384777e-05,
      -1.985936507786521e-05,
      -8.702607099473422e-05,
      -0.0001531269121487656,
      -0.0002181787224868888,
      -0.00028219812968494876,
      -0.00034520150581814676,
      -0.0004072049869915052,
      -0.000468224517762492,
      -0.0005282756719217523,
      -0.0005873737901385663,
      -0.0006455339509820292,
      -0.0007027710617891925,
      -0.0007590998729749867,
      -0.0008145347621870283,
      -0.0008690899053324342,
      -0.0009227793258703873,
      -0.0009756166635248607,
      -0.0010276155334014597,
      -0.0010787891021231662,
      -0.0011291504895472907,
      -0.0011787126101961757,
      -0.0012274882177486038,
      -0.0012754897768597342,
      -0.001322729531234888,
      -0.0013692194881300588,
      -0.0014149716754273305,
      -0.0014599977626049943,
      -0.001504309227446555,
      -0.0015479174391560084,
      -0.0015908335950291718,
      -0.001633068668920485,
      -0.0016746334860640961,
      -0.0017155386447590929,
      -0.0017557946280423917,
      -0.0017954118065347917,
      -0.0018344003328979843,
      -0.0018727701500287873,
      -0.0019105310298737964,
      -0.0019476926500985715,
      -0.0019842645111685115,
      -0.002020255865551799,
      -0.0020556760720481467,
      -0.0020905341872793615,
      -0.002124839147459161,
      -0.0021585997209414426,
      -0.0021918244853975795,
      -0.0022245219058538946,
      -0.0022567003681254402,
      -0.0022883681860708023,
      -0.0023195335008431737
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334855123587156,
      10.093977529514026,
      9.846986680780784,
      9.596657661396138,
      9.34542083579972,
      9.095379463264106,
      8.848282685122186,
      8.605514639747561,
      8.368100999049224,
      8.136722879418597,
      7.91174631271629,
      7.6932669213345655,
      7.481160445120399,
      7.275134791086211,
      7.074780055859589,
      6.8796147034776896,
      6.689125088457026,
      6.502797151704792,
      6.320143020437377,
      6.140718931594416,
      5.964136758786386,
      5.7900632650420825,
      5.618231406620381,
      5.4484575527835775,
      5.280638761818046,
      5.114745684523946,
      4.95081798933397,
      4.788974163315055,
      4.629421784607883,
      4.47245859358915,
      4.318419436759649,
      4.1676647063657555,
      4.020575872172094,
      3.877545350322625,
      3.7389510644503265,
      3.605138663050891,
      3.4764114889192292,
      3.3530230622771993,
      3.2351720320560426,
      3.122999606612546,
      3.0165829979008048,
      2.9159255459070095,
      2.820959187575981,
      2.731532232812377,
      2.6474328855142253,
      2.5684193809635705,
      2.494241452917318,
      2.4246406725537164,
      2.359348625940561,
      2.298085957138161,
      2.240547471796726,
      2.1863607964134033,
      2.1351641947071394,
      2.086618227520061,
      2.040402157054183,
      1.9962228366521482,
      1.9538437596278195,
      1.9130709771088208,
      1.8737441153131225,
      1.8357347403782764,
      1.7989347210049027,
      1.7632472132663988,
      1.7285915223733903,
      1.6949014970911107,
      1.6621215440933081,
      1.630203854134966,
      1.5991064624962126,
      1.5687918855506162,
      1.5392261560541955,
      1.5103781353508403,
      1.48221908536473,
      1.45472276856155,
      1.4278627814004365,
      1.401615142945773,
      1.3759598844796477,
      1.3508804161427699,
      1.3263616621464565,
      1.3023878259600117,
      1.2789428729589638,
      1.2560108644301078,
      1.2335761629903963,
      1.2116235558027288,
      1.1901383239679053,
      1.1691062745507486,
      1.1485137530430438,
      1.1283484597988829,
      1.1085991531359447,
      1.0892550643976664,
      1.0703057959776756,
      1.0517409139586023,
      1.0335501016908388,
      1.0157232559646692,
      0.9982505448994398,
      0.9811224375372938,
      0.9643297179303073,
      0.9478634891001075,
      0.9317151691668868,
      0.9158764836999893,
      0.9003394568961325,
      0.885096400105789,
      0.8701399007902534,
      0.855462810297168,
      0.8410582331042347,
      0.826919514776697,
      0.8130402320291166,
      0.7994141818643625,
      0.7860355180493764,
      0.7728990197922999,
      0.7599995431907038,
      0.7473319513868402,
      0.73489116913268,
      0.7226722158210286,
      0.7106702240005494,
      0.6988804495159409,
      0.6872982764132126,
      0.6759192170844958,
      0.6647389115986438,
      0.6537531246070564,
      0.6429577424567313,
      0.6323487690910264,
      0.6219223186782891,
      0.6116745621363195,
      0.6016017582947663,
      0.5917002976559791,
      0.5819666877027123,
      0.5723975422435553,
      0.5629895740417881,
      0.5537395879991842,
      0.5446444762612227,
      0.5357012144252743,
      0.5269068571965709,
      0.5182585356732685,
      0.5097534542730532,
      0.5013888877285544,
      0.4931621785514469,
      0.48507091826563253,
      0.47711345844592373,
      0.46928809625839485,
      0.46159287523010034,
      0.45402569763678907,
      0.44658439512077314,
      0.43926677283916216,
      0.43207063758631586,
      0.4249938151408051,
      0.4180341605258975,
      0.41118956433745907,
      0.4044579560410295,
      0.3978373313741273,
      0.3913259764592226,
      0.38492227294128484,
      0.3786245089976209,
      0.37243092842462083,
      0.36633976069253865,
      0.3603492397349289,
      0.354457615734847,
      0.34866316204481684,
      0.342964179474704,
      0.33735910720491297,
      0.33184647486362034,
      0.3264247774781982,
      0.3210924973145435,
      0.31584811961969783,
      0.31069014244785165,
      0.30561708243033064,
      0.30062749616763246,
      0.29571998510703307,
      0.2908931641780866,
      0.2861456240696495,
      0.2814757709223743,
      0.27688202877460516,
      0.2723629424107549,
      0.2679171422780628,
      0.26354332215916654,
      0.2592402246909716,
      0.25500663172875,
      0.2508413579081444,
      0.24674324651906346,
      0.24271142846650162,
      0.23874528672981887,
      0.23484406237592562,
      0.23100688243253523,
      0.22723280727558484,
      0.22352086102822535,
      0.21987005124550102,
      0.2162793811786814,
      0.21274785782257186,
      0.20927449683383986,
      0.20585832568972937,
      0.2024983857238775,
      0.19919371447104056,
      0.195943279856957,
      0.19274606921294096,
      0.189601125593442,
      0.1865075332896736,
      0.1834644082982717,
      0.18047089257560814,
      0.17752614971595063,
      0.17462934184597367,
      0.1717795161141096,
      0.16897571978369602,
      0.1662170801659514,
      0.16350278113070144,
      0.16083204762807246,
      0.15820413583519308,
      0.1556183264337641,
      0.15307392012411114,
      0.15057023437813918,
      0.14810660173877893,
      0.1456823680754014,
      0.1432968917245508,
      0.14094954288296796,
      0.13863970296644426,
      0.13636676410225587,
      0.13413012897803298,
      0.1319292104672164,
      0.12976343132961496,
      0.12763222408781166,
      0.12553503073590971,
      0.12347130260462848,
      0.12144050014010369,
      0.11944209274319466,
      0.11747555877670283,
      0.1155403850600761,
      0.11363606696325973,
      0.11176210824165554,
      0.10991802084135774,
      0.10810332466010114,
      0.10631754748105658,
      0.10456022495750134,
      0.10283090042031212,
      0.10112912452613412,
      0.09945445540732828,
      0.09780645835057229,
      0.0961847058052159,
      0.09458877719306012,
      0.09301825871016779,
      0.09147274347628047,
      0.08995183107183717,
      0.0884551276699257,
      0.08698224592385649,
      0.08553280475013487,
      0.08410642908550187,
      0.0827027501518693,
      0.08132140516436422,
      0.07996203718794523,
      0.07862429493200082,
      0.07730783284818499,
      0.0760123110546121,
      0.07473739514975859,
      0.07348275619933202,
      0.07224807041134182,
      0.07103301935511461,
      0.06983728961732578,
      0.06866057290559664,
      0.0675025659389689,
      0.0663629702512315,
      0.06524149228258282,
      0.0641378430850012,
      0.06305173836621426,
      0.06198289850596458,
      0.060931048265202764,
      0.05989591698540783,
      0.058877238264040295,
      0.05787474984024924,
      0.05688819385799567,
      0.05591731659576599,
      0.05496186831000174,
      0.05402160328140922,
      0.05309627967882374,
      0.0521856595364172,
      0.05128950880253282,
      0.05040759716168404,
      0.04953969793096381,
      0.048685588091148646,
      0.047845048220068374,
      0.047017862331623,
      0.04620381792503861,
      0.04540270582437619,
      0.044614320381071625,
      0.04383845914854038,
      0.04307492295120221,
      0.042323515615805524,
      0.04158404420715253,
      0.04085631887225379,
      0.04014015281412666,
      0.039435362222984514,
      0.03874176624115012,
      0.038059186894820796,
      0.0373874489987146,
      0.036726380227216235,
      0.036075810926155,
      0.03543557414797521,
      0.034805505601640176,
      0.03418544366088868,
      0.03357522928706009,
      0.03297470604466514,
      0.03238371980242902,
      0.03180211888233461,
      0.031229754262545345,
      0.030666479122623443,
      0.030112148995300046,
      0.02956662178096814,
      0.029029757593385337,
      0.02850141871537859,
      0.027981469684026195,
      0.027469777238308422,
      0.026966210147880247,
      0.026470639361700805,
      0.025982937719318245,
      0.025502980268278918,
      0.025030643908354945,
      0.024565807584602858,
      0.024108352335250282,
      0.023658160972528187,
      0.023215117942126946,
      0.022779109697938497,
      0.022350024486506376,
      0.021927752335835018,
      0.021512184942713515,
      0.02110321591045228,
      0.020700740421218253,
      0.02030465532805994,
      0.019914859177002434,
      0.019531252032648536,
      0.019153735512720736,
      0.018782213045169135,
      0.01841658942617685,
      0.018056770898705318,
      0.017702665243308685,
      0.017354181753870265,
      0.017011231161980823,
      0.016673725611598866,
      0.016341578588090794,
      0.016014704980062883,
      0.015693021146444504,
      0.01537644465210779,
      0.015064894307421329,
      0.014758290282519347,
      0.014456554080434917,
      0.01415960850311448,
      0.013867377418512742,
      0.013579785926459852,
      0.013296760363889805,
      0.013018228238881416,
      0.01274411818764778,
      0.012474360006720494,
      0.012208884561952847,
      0.011947623860797188,
      0.011690511027503228,
      0.011437480193519046,
      0.011188466448772963,
      0.010943406051680283,
      0.010702236229884273,
      0.01046489528385832,
      0.010231322440314699,
      0.010001457798238822,
      0.00977524250106587,
      0.00955261860743149,
      0.009333529048360333,
      0.009117917740621064,
      0.008905729417343716,
      0.008696909799440045,
      0.008491405395208387,
      0.008289163538433111,
      0.008090132455417785,
      0.007894261182796998,
      0.007701499462707369,
      0.00751179794646424,
      0.007325108077201304,
      0.007141382109248635,
      0.006960572869842769,
      0.006782634076680478,
      0.00660752023241497,
      0.0064351864843261025,
      0.006265588658261809,
      0.006098683307832587,
      0.005934427683984385,
      0.005772779808912266,
      0.005613698234761923,
      0.005457142231102874,
      0.005303071567625395,
      0.005151446877951298,
      0.005002229352364825,
      0.004855380680979396,
      0.004710863329606208,
      0.004568640258656765,
      0.004428675000499822,
      0.004290931859989099,
      0.004155375443384496,
      0.004021971041065459,
      0.003890684535876516,
      0.0037614823135725044,
      0.003634331232852044,
      0.003509198679721065,
      0.0033860526428631695,
      0.0032648616389573345,
      0.0031455946081801016,
      0.0030282210594677382,
      0.0029127108810878583,
      0.002799034508659608,
      0.00268716271937155,
      0.002577066969365118,
      0.0024687191607889233,
      0.0023620913980477816,
      0.002257156355229572,
      0.0021538872133769474,
      0.0020522574660844536,
      0.0019522411528474668,
      0.0018538126742459642,
      0.0017569467804917165,
      0.001661618764989138,
      0.0015678041891865732,
      0.0014754789457459608,
      0.0013846194501685167,
      0.0012952023762802663,
      0.0012072047937882625,
      0.0011206042310380503,
      0.001035378510171413,
      0.0009515057748229979,
      0.0008689645187269049,
      0.0007877336156702857,
      0.000707792338509925,
      0.0006291202142059952,
      0.0005516970323494026,
      0.00047550303942541297,
      0.0004005186067235878,
      0.0003267245733745201,
      0.0002541020435611796,
      0.00018263243988675393,
      0.00011229744922878695,
      4.307905910824515e-05,
      -2.5040462056811192e-05,
      -9.207853275125904e-05,
      -0.00015805228248937472,
      -0.0002229786824075573,
      -0.00028687440845427974,
      -0.0003497557987889171,
      -0.0004116388795558101,
      -0.00047253951069613687,
      -0.000532473327143216,
      -0.0005914556986554795,
      -0.0006495017263915913,
      -0.0007066262640996386,
      -0.0007628439636895567,
      -0.0008181691927466433,
      -0.0008726161165383389,
      -0.0009261986389698067,
      -0.0009789304508838754,
      -0.0010308250965336283,
      -0.0010818959249596146,
      -0.001132156040644606,
      -0.0011816183167680206,
      -0.0012302952993798358,
      -0.0012781994922655927,
      -0.0013253431322018017,
      -0.0013717383643888803,
      -0.0014173970292102095,
      -0.001462330874179091,
      -0.001506551345740063,
      -0.0015500697612418157,
      -0.0015928972962321816,
      -0.0016350450282194104,
      -0.0016765236112883748,
      -0.0017173436997069713,
      -0.0017575157286602253,
      -0.001797050038204627,
      -0.0018359568119142911,
      -0.0018742458497593014,
      -0.0019119270073185708,
      -0.0019490100182102566,
      -0.0019855043096401433,
      -0.0020214192493685982,
      -0.002056764067887018,
      -0.0020915477739867896,
      -0.0021257792662283757,
      -0.0021594673044507263,
      -0.0021926206077470776,
      -0.0022252475195699757,
      -0.0022573564096937076,
      -0.002288955547845708,
      -0.002320052926349207
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334851503686401,
      10.093964916447636,
      9.846959024752172,
      9.596610234515198,
      9.345350317082946,
      9.095283635122883,
      8.848160185762067,
      8.605364832314487,
      8.367923846283224,
      8.136518601968508,
      7.91151526778257,
      7.693009513927879,
      7.480877069035501,
      7.2748258000009836,
      7.074445754191876,
      6.87925534046599,
      6.688740897610123,
      6.50238839491419,
      6.319710030474524,
      6.140262199251706,
      5.9636569848102114,
      5.7895614016367,
      5.617708627957716,
      5.447915303866722,
      5.280078813594671,
      5.114169938090461,
      4.950228492359484,
      4.788373234892268,
      4.628812619308292,
      4.471844768268261,
      4.317804508030469,
      4.167052242890573,
      4.019969459906618,
      3.8769485680292526,
      3.7383672375816923,
      3.604570811671224,
      3.4758622817201954,
      3.3524947810651664,
      3.234666550705632,
      3.1225183817575317,
      3.01612692014727,
      2.915495002919697,
      2.820553959122961,
      2.7311513883444896,
      2.6470749742182162,
      2.5680827494124707,
      2.493924286201136,
      2.4243410715640397,
      2.359064619257822,
      2.297815491258006,
      2.2402883122826176,
      2.186110439331101,
      2.1349204735369116,
      2.0863791021304268,
      2.0401657369491053,
      1.995987603408554,
      1.9536085309119604,
      1.9128347798726126,
      1.8735062608247395,
      1.835494739017093,
      1.7986921905345,
      1.7630018262357663,
      1.728343074811316,
      1.6946498702652788,
      1.6618666786741934,
      1.6299457318939015,
      1.598845093946996,
      1.5685273006579492,
      1.538958397767957,
      1.5101072554135169,
      1.481945152262304,
      1.4544458846737454,
      1.4275831424219818,
      1.4013330352125501,
      1.3756755894720398,
      1.3505943379545438,
      1.3260741188438692,
      1.3020990403440593,
      1.2786530049709572,
      1.2557200318452622,
      1.2332844566539343,
      1.211331048698444,
      1.189845076765357,
      1.168812340225902,
      1.148219179302475,
      1.1280533114377143,
      1.108303493622261,
      1.0889589582667896,
      1.0700093019677817,
      1.0514440825631772,
      1.0332529778810216,
      1.0154258810318257,
      0.9979529568594292,
      0.9808246729966482,
      0.9640318125166586,
      0.9475654774244984,
      0.9314170847246027,
      0.9155783595742896,
      0.9000413256883957,
      0.8847982940596573,
      0.8698418514986163,
      0.8551648491114939,
      0.8407603906686325,
      0.8266218214170663,
      0.812742717369051,
      0.7991168751430537,
      0.7857385775857857,
      0.7726026094596465,
      0.75970377536749,
      0.7470369050974122,
      0.7345969017322992,
      0.7223787705694287,
      0.7103776349169754,
      0.6985887447493445,
      0.6870074797801508,
      0.6756293497383108,
      0.664449992739994,
      0.6534651721032845,
      0.6426707733214755,
      0.6320627996217814,
      0.6216373641254996,
      0.6113906362833861,
      0.6013188750620313,
      0.5914184709412607,
      0.5816859313917464,
      0.5721178701112514,
      0.562710999366417,
      0.553462123651053,
      0.5443681350628296,
      0.535426008767197,
      0.5266327992813286,
      0.5179856371924386,
      0.5094817263565644,
      0.5011183411406394,
      0.49289282390472505,
      0.48480281938788505,
      0.47684672737492484,
      0.4690228048338268,
      0.4613290699653224,
      0.45376340889161815,
      0.4463236426777675,
      0.439007569683279,
      0.4318129923070789,
      0.4247377334246979,
      0.417779646073498,
      0.41093661941280885,
      0.40420658206236215,
      0.3975875421109379,
      0.39107780238126244,
      0.3846757322512858,
      0.3783796122878015,
      0.3721876811100248,
      0.36609816491299274,
      0.360109295656658,
      0.35421932210350465,
      0.3484265165643165,
      0.3427291814554119,
      0.3371257647585893,
      0.33161479377982256,
      0.32619475941793785,
      0.32086414118986456,
      0.31562142254041065,
      0.3104651003405894,
      0.3053936906002112,
      0.30040575124107743,
      0.2954998834153911,
      0.29067470082502034,
      0.28592879525986986,
      0.2812605747554108,
      0.27666846160124564,
      0.2721509993547067,
      0.2677068178145471,
      0.2633346102942476,
      0.25903311907376014,
      0.2548011258244889,
      0.25063744490133905,
      0.24654091939227646,
      0.2425106932431999,
      0.23854614987541609,
      0.23464652476852207,
      0.23081094142402792,
      0.22703845791115554,
      0.22332809693819822,
      0.21967886485588123,
      0.21608976427231938,
      0.21255980170205696,
      0.20908799240536988,
      0.20567336370958053,
      0.20231495673779332,
      0.1990118067048753,
      0.19576287836627637,
      0.19256716104023588,
      0.18942369896348787,
      0.18633157717805948,
      0.1832899124474987,
      0.18029784691512032,
      0.17735454427822273,
      0.17445918712291533,
      0.1716109132150165,
      0.16880875619899435,
      0.16605180815266965,
      0.16333922968984768,
      0.1606702307160026,
      0.15804405753920467,
      0.15545998422071125,
      0.15291730710858237,
      0.15041534100102835,
      0.1479534165061847,
      0.14553087851856605,
      0.14314708466199202,
      0.14080140459081514,
      0.1384932193711304,
      0.13622192104163536,
      0.13398691224532988,
      0.13178760581632668,
      0.12962342442252092,
      0.1274938006256913,
      0.12539817650082843,
      0.12333600345681243,
      0.12130674204062988,
      0.11930986174497617,
      0.1173448407990204,
      0.11541116622848459,
      0.11350833357480877,
      0.11163584661607585,
      0.10979321731798093,
      0.10797996569672248,
      0.10619561956835276,
      0.10443971455898668,
      0.10271179397517455,
      0.10101140878938383,
      0.09933811708437348,
      0.09769148425990948,
      0.09607108281192255,
      0.09447649228245125,
      0.09290729901067632,
      0.0913630961111785,
      0.08984348328426144,
      0.08834806675730596,
      0.08687645926461722,
      0.08542827978923881,
      0.08400315344740193,
      0.08260071154093361,
      0.0812205912494478,
      0.07986243563327614,
      0.07852589353264759,
      0.07721061964043063,
      0.07591627416964472,
      0.07464252281413794,
      0.0733890365763032,
      0.07215549173151149,
      0.07094157003453525,
      0.06974695813116336,
      0.06857134784683563,
      0.06741443597186608,
      0.06627592418649116,
      0.06515551891722787,
      0.06405293130962256,
      0.06296787717362516,
      0.06190007697168243,
      0.06084925560131565,
      0.05981514245193838,
      0.05879747112492478,
      0.057795979535352635,
      0.05681040992791264,
      0.055840508527267824,
      0.05488602576316484,
      0.05394671597664047,
      0.05302233744356541,
      0.05211265229776437,
      0.05121742659961895,
      0.05033643012634369,
      0.049469436278598664,
      0.04861622203199475,
      0.04777656816348553,
      0.04695025862624264,
      0.04613708100293653,
      0.045336826272417335,
      0.0445492888185586,
      0.04377426632459503,
      0.04301155959131501,
      0.04226097268175662,
      0.04152231272528996,
      0.040795389917921504,
      0.040080017578823346,
      0.039376011922955666,
      0.03868319215640012,
      0.03800138038316394,
      0.037330401554390276,
      0.036670083346115635,
      0.03602025619359812,
      0.035380753282401096,
      0.03475141038427195,
      0.034132065941963864,
      0.03352256097952726,
      0.03292273899090066,
      0.03233244602887228,
      0.031751530689188685,
      0.031179843862916164,
      0.030617238841458345,
      0.03006357111840226,
      0.02951869869051559,
      0.028982481801662126,
      0.02845478288651868,
      0.027935466497358893,
      0.027424399365988113,
      0.02692145040452592,
      0.026426490638048458,
      0.0259393930627939,
      0.025460032798304024,
      0.02498828678341413,
      0.024524034007206215,
      0.02406715544281267,
      0.02361753388042121,
      0.02317505390759142,
      0.022739602138239147,
      0.022311067010472908,
      0.02188933849603965,
      0.021474308598604334,
      0.021065870784364553,
      0.020663920277378657,
      0.020268353916249274,
      0.019879070342024917,
      0.01949596969631493,
      0.019118953790122926,
      0.018747925884352735,
      0.01838279079445662,
      0.01802345495002727,
      0.017669826326988373,
      0.01732181425252943,
      0.016979329476077092,
      0.016642284130970266,
      0.01631059191811036,
      0.01598416774869367,
      0.01566292791327478,
      0.015346790052476012,
      0.015035673063163866,
      0.014729497308495971,
      0.014428184235611482,
      0.01413165663398665,
      0.013839838402516354,
      0.01355265481096422,
      0.013270032245041991,
      0.01299189820403372,
      0.01271818135993834,
      0.01244881165305509,
      0.012183719991756022,
      0.011922838395044077,
      0.011666099967543767,
      0.011413438942513952,
      0.011164790646412282,
      0.010920091232674118,
      0.010679278003625694,
      0.010442289234453025,
      0.010209064128495992,
      0.009979543011039068,
      0.009753667012583477,
      0.009531378238618209,
      0.009312619771604498,
      0.009097335517490163,
      0.008885470176559728,
      0.008676969439773807,
      0.008471779922157073,
      0.008269849112221086,
      0.008071125280600349,
      0.007875557435878915,
      0.007683095493584396,
      0.007493690085895552,
      0.007307292603333113,
      0.0071238552966471245,
      0.006943331133925718,
      0.006765673883230819,
      0.006590838039251492,
      0.0064187787210915614,
      0.006249451833142193,
      0.0060828141086113055,
      0.0059188227675978705,
      0.005757435788332711,
      0.005598611920696125,
      0.005442310339829604,
      0.00528849098720508,
      0.005137114376210081,
      0.004988141786974485,
      0.004841535063218459,
      0.004697256691853916,
      0.004555269598224039,
      0.004415537318833382,
      0.004278024125325186,
      0.004142694769692046,
      0.004009514562268813,
      0.003878449388114717,
      0.003749465668677023,
      0.0036225302935242636,
      0.003497610706638659,
      0.0033746748804385648,
      0.0032536914125208347,
      0.0031346294027356494,
      0.0030174582616487914,
      0.0029021478704647106,
      0.002788668717204557,
      0.0026769917235798008,
      0.0025670882199202226,
      0.002458930036214558,
      0.002352489474150713,
      0.0022477392366642944,
      0.0021446525115785763,
      0.0020432029425772723,
      0.0019433644876584466,
      0.0018451115523017622,
      0.001748418946214333,
      0.0016532619370261425,
      0.0015596160387640688,
      0.001467457342009657,
      0.0013767622672059,
      0.0012875075166507975,
      0.0011996702694625843,
      0.0011132279454641205,
      0.0010281583837782248,
      0.0009444397495299674,
      0.0008620506262074545,
      0.0007809699441280357,
      0.0007011768090189385,
      0.0006226508331863151,
      0.0005453719283568515,
      0.00046932037313336314,
      0.00039447657645430546,
      0.00032082128705591067,
      0.0002483356894399202,
      0.00017700119036139855,
      0.00010679955548038224,
      3.7712831620006834e-05,
      -3.0276615709682057e-05,
      -9.718630507215844e-05,
      -0.00016303343443603972,
      -0.00022783477040802443,
      -0.0002916070323155139,
      -0.00035436662062958554,
      -0.00041612952224745475,
      -0.00047691164037549666,
      -0.0005367284564494797,
      -0.0005955953517216648,
      -0.0006535273874422627,
      -0.0007105393641847463,
      -0.0007666459180513768,
      -0.0008218614447154118,
      -0.0008762001431290605,
      -0.0009296759312049814,
      -0.0009823024942231943,
      -0.0010340933131015768,
      -0.001085061634568867,
      -0.001135220478756844,
      -0.0011845827855880625,
      -0.0012331612175260243,
      -0.0012809682094246104,
      -0.0013280160172531388,
      -0.001374316664333739,
      -0.0014198819697416928,
      -0.001464723613453925,
      -0.0015088530932886827,
      -0.001552281808345057,
      -0.0015950207918544246,
      -0.0016370811044796266,
      -0.0016784734705827845,
      -0.0017192084285109542,
      -0.00175929650554109,
      -0.0017987479601331814,
      -0.0018375728668878519,
      -0.0018757812196184337,
      -0.001913382843377399,
      -0.0019503872740021916,
      -0.001986803973711106,
      -0.0020226423872855095,
      -0.0020579118074260023,
      -0.0020926210931173548,
      -0.00212677914343197,
      -0.002160394646090757,
      -0.0021934763406820657,
      -0.0022260326140212338,
      -0.0022580718003063324,
      -0.0022896021946339686,
      -0.0023206318883697186
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33484788815901,
      10.093952313896557,
      9.846931352875586,
      9.596562741208905,
      9.345279688502757,
      9.095187659075215,
      8.84803750736376,
      8.605214821768739,
      8.367746472908259,
      8.136314092982168,
      7.9112839847003675,
      7.692751865444927,
      7.4805934527111155,
      7.274516571065812,
      7.074111221102198,
      6.878895751439115,
      6.688356484504287,
      6.501979422181909,
      6.31927683221218,
      6.139805266886458,
      5.963177018330186,
      5.78905935134046,
      5.617185666925125,
      5.447372883766501,
      5.279518704099048,
      5.113593998452376,
      4.94963877532462,
      4.7877720643377755,
      4.6282031932812435,
      4.471230667701068,
      4.317189293362248,
      4.166439486411746,
      4.019362750950041,
      3.8763514879201026,
      3.737783113370874,
      3.6040026652390957,
      3.475312782646611,
      3.3519662119133447,
      3.2341607847525125,
      3.122036874707089,
      3.015670561764072,
      2.915064179927909,
      2.8201484499617884,
      2.730770261933807,
      2.646716779718898,
      2.567745834441557,
      2.4936068358041927,
      2.42404118738375,
      2.358780330658568,
      2.297544746084217,
      2.2400288776921378,
      2.185859812660176,
      2.134676489171496,
      2.0861397210952117,
      2.039929070407239,
      1.9957521338908097,
      1.9533730776930558,
      1.9125983706932852,
      1.8732682071532152,
      1.8352545506181959,
      1.7984494849422876,
      1.7627562758788748,
      1.7280944748463565,
      1.69439810166203,
      1.661611681823735,
      1.6296874885642287,
      1.5985836143682532,
      1.568262614539227,
      1.538690548343156,
      1.5098362942852783,
      1.481671146847041,
      1.4541689373380173,
      1.4273034481768656,
      1.4010508804154471,
      1.3753913040927652,
      1.3503083469448003,
      1.3257867142432844,
      1.3018104273752265,
      1.2783633317409107,
      1.2554294093704106,
      1.2329929709890988,
      1.2110387696455744,
      1.1895520632143182,
      1.1685186439597743,
      1.1479248472675858,
      1.127758407693691,
      1.108008084740772,
      1.0886631104422906,
      1.0697130719669188,
      1.0511475193447097,
      1.0329561252650106,
      1.0151287790817871,
      0.9976556438108825,
      0.9805271852403231,
      0.9637341851308562,
      0.9472677442374163,
      0.9311192791798011,
      0.9152805147722403,
      0.8997434741132395,
      0.8845004677025613,
      0.8695440821237506,
      0.8548671676983354,
      0.84046282786134,
      0.8263244075054929,
      0.8124454823624779,
      0.7988198563616943,
      0.7854419368139867,
      0.7723065066044534,
      0.7594083200735785,
      0.7467421745240443,
      0.7343029519533251,
      0.7220856439396958,
      0.7100853647716421,
      0.6982973584156601,
      0.6867170008249747,
      0.6753397992800712,
      0.6641613898786287,
      0.653177534844839,
      0.6423841187012456,
      0.6317771439686021,
      0.6213527224253024,
      0.6111070224712424,
      0.6010363034983409,
      0.5911369558461088,
      0.5814054864749025,
      0.5718385088289212,
      0.5624327349916584,
      0.5531849693623868,
      0.5440921034911061,
      0.5351511121445117,
      0.5263590494553356,
      0.5177130458108613,
      0.5092103048159977,
      0.5008481006052699,
      0.49262377488529085,
      0.48453505817130926,
      0.4765803527582771,
      0.46875788081767017,
      0.46106563824676583,
      0.4535014965193869,
      0.4460632672861009,
      0.43874874300930816,
      0.4315557221310088,
      0.42448202488048425,
      0.41752550248767634,
      0.41068404308128603,
      0.4039555742810497,
      0.3973381163979127,
      0.39082998925726664,
      0.3844295499159828,
      0.37813507112327527,
      0.3719447864947233,
      0.36585691907269025,
      0.35986969873717667,
      0.3539813728378361,
      0.34819021271506656,
      0.3424945253871065,
      0.3368927657109387,
      0.3313834557165176,
      0.32596508277536,
      0.3206361242388269,
      0.315395062126801,
      0.31024039226225125,
      0.30517062978547943,
      0.30018433422504825,
      0.2952801064552747,
      0.2904565591582716,
      0.2857122849499566,
      0.2810456939300248,
      0.2764552066687328,
      0.27193936561503895,
      0.26749679968186135,
      0.2631262017816022,
      0.25882631380347304,
      0.2545959170610345,
      0.25043382577161255,
      0.24633888283662983,
      0.24231024521999622,
      0.23834729674896424,
      0.23444926755925724,
      0.23061527765372927,
      0.22684438270878038,
      0.2231356037535903,
      0.21948794614034725,
      0.2159004117725609,
      0.21237200671225825,
      0.20890174604136483,
      0.20548865676180716,
      0.20213177967441548,
      0.19883014767636256,
      0.1955827224946671,
      0.1923884954494507,
      0.1892465119493666,
      0.1861558577518169,
      0.18311565011006514,
      0.18012503150869824,
      0.17718316580037377,
      0.1742892357056093,
      0.17144244089783198,
      0.1686418758077989,
      0.1658865882808668,
      0.1631757102513751,
      0.16050843269312323,
      0.15788398950867938,
      0.1553016467198468,
      0.15276069529020558,
      0.15026044660616203,
      0.14780022914857305,
      0.1453793861590121,
      0.14299727432408896,
      0.1406532626526228,
      0.13834673201276557,
      0.13607707422734314,
      0.1338436918189446,
      0.1316459975511895,
      0.1294834141660802,
      0.12735537425316348,
      0.12526131983065716,
      0.1232007022351153,
      0.12117298211625857,
      0.11917762900254884,
      0.11721412127007223,
      0.11528194594209008,
      0.113380598598558,
      0.11150958310350523,
      0.10966841154320982,
      0.1078566039811493,
      0.10607368840458836,
      0.1043192005059761,
      0.10259268368726301,
      0.1008936889180307,
      0.09922177440251091,
      0.09757650558908096,
      0.09595745508963492,
      0.09436420240697195,
      0.09279633393382909,
      0.091253442924563,
      0.08973512931208705,
      0.08824099940218458,
      0.08677066594893819,
      0.08532374793134835,
      0.08389987066030045,
      0.0824986653575049,
      0.08111976942971043,
      0.0797628260360942,
      0.07842748410920203,
      0.07711339825901688,
      0.07582022883757865,
      0.07454764159481972,
      0.07329530765914605,
      0.07206290347053447,
      0.07085011065629776,
      0.06965661609144189,
      0.06848211182527827,
      0.06732629462271637,
      0.06618886620374977,
      0.06506953305562027,
      0.06396800643735012,
      0.06288400237349892,
      0.06181724133413466,
      0.06076744825616266,
      0.059734352581011424,
      0.05871768807044307,
      0.057717192708335335,
      0.05673260878372063,
      0.055763682614355506,
      0.05481016467669056,
      0.053871809455497126,
      0.05294837532442083,
      0.052039624568557714,
      0.051145323268822866,
      0.050265241171917274,
      0.049399151867143644,
      0.04854683247133076,
      0.04770806367110281,
      0.04688262964495718,
      0.046070318128877484,
      0.045270920190094925,
      0.044484230191876625,
      0.043710045732229356,
      0.04294816781144427,
      0.04219840057681898,
      0.04146055124486672,
      0.04073443012716075,
      0.0400198506461596,
      0.039316629070034866,
      0.038624584741898185,
      0.03794353976718964,
      0.037273319131918385,
      0.03661375058663957,
      0.035964664732159035,
      0.035325894820049074,
      0.034697276700581856,
      0.034078648977558496,
      0.03346985263920581,
      0.03287073131586038,
      0.032281131121062685,
      0.03170090056614307,
      0.031129890674873616,
      0.03056795492952773,
      0.030014948985097444,
      0.029470730811232162,
      0.028935160684369694,
      0.028408101068097533,
      0.027889416686248357,
      0.027378974343773232,
      0.026876642927678458,
      0.026382293600700386,
      0.025895799398825817,
      0.025417035428463904,
      0.02494587886740154,
      0.024482208745288253,
      0.024025906030101952,
      0.02357685369670836,
      0.02313493638321278,
      0.022700040652007893,
      0.022272054972060553,
      0.021850869517483166,
      0.021436376163802125,
      0.021028468484411006,
      0.02062704181726261,
      0.020231993294114306,
      0.019843221443585062,
      0.01946062657654613,
      0.01908411040804115,
      0.018713576302191,
      0.018348929307103707,
      0.017990075922544122,
      0.01763692395010099,
      0.01728938279339522,
      0.01694736325564149,
      0.016610777616415856,
      0.016279539535758662,
      0.015953563970326403,
      0.015632767374330957,
      0.015317067486562103,
      0.015006383300440277,
      0.014700635128370654,
      0.014399744428887007,
      0.01410363412873857,
      0.013812228237808546,
      0.01352545198387297,
      0.01324323185640646,
      0.012965495375670025,
      0.01269217122187498,
      0.012423189413496741,
      0.012158480962810622,
      0.01189797794246904,
      0.011641613524433823,
      0.011389321895939554,
      0.011141038402124413,
      0.010896699421218861,
      0.010656242195273134,
      0.010419605054750501,
      0.010186727304450943,
      0.009957549214565084,
      0.009732012059854992,
      0.00951005799738284,
      0.009291629985708547,
      0.009076672095652117,
      0.008865129125383613,
      0.008656946860949125,
      0.008452071901559255,
      0.008250451711047001,
      0.008052034507050028,
      0.007856769471424429,
      0.007664606544201166,
      0.007475496475371701,
      0.00728939080980368,
      0.0071062417479157754,
      0.006926002244333708,
      0.00674862612235119,
      0.006574067847914444,
      0.006402282675593102,
      0.006233226504679482,
      0.00606685596682815,
      0.005903128548749096,
      0.005742002157864706,
      0.005583435485252877,
      0.005427387849851239,
      0.005273819305946201,
      0.005122690467335458,
      0.0049739624353431836,
      0.00482759708508454,
      0.0046835569797033325,
      0.004541805070210479,
      0.004402305021281085,
      0.004265021100205914,
      0.00412991817028774,
      0.0039969616038321954,
      0.0038661172734207553,
      0.0037373516150467157,
      0.0036106316428025278,
      0.0034859247557605267,
      0.0033631990362033796,
      0.003242422946112908,
      0.0031235654644189413,
      0.003006596136681947,
      0.0028914849744233516,
      0.0027782025351659476,
      0.002666719762304133,
      0.0025570080362995675,
      0.0024490392211786133,
      0.002342785649661,
      0.0022382199954556264,
      0.0021353155348070954,
      0.002034045927330223,
      0.001934385080591008,
      0.001836307473989567,
      0.0017397879184537514,
      0.001644801661349409,
      0.0015513244036421468,
      0.0014593320709567635,
      0.0013688011517662714,
      0.0012797084203315574,
      0.0011920310874818424,
      0.0011057466728500742,
      0.0010208329485475152,
      0.0009372682271433497,
      0.0008550310029800763,
      0.000774100224036916,
      0.0006944551455656625,
      0.0006160752931759746,
      0.0005389406306545057,
      0.00046303140495503265,
      0.0003883280112924192,
      0.00031481132980923897,
      0.0002424624913440839,
      0.0001712630514281656,
      0.00010119479708437297,
      3.223971364704252e-05,
      -3.5620003682286316e-05,
      -0.00010240175848147687,
      -0.00016812260263838943,
      -0.00023279931593228967,
      -0.00029644856092858157,
      -0.0003590866939869199,
      -0.00042072975313233363,
      -0.00048139347020182695,
      -0.0005410935042133362,
      -0.0005998452103732011,
      -0.0006576635666123253,
      -0.00071456345532245,
      -0.0007705593969458464,
      -0.0008256657409190007,
      -0.0008798965946167057,
      -0.0009332659041606657,
      -0.0009857873821923957,
      -0.0010374744786334673,
      -0.0010883405419334566,
      -0.0011383986169514334,
      -0.0011876614451879145,
      -0.001236141673989949,
      -0.0012838516642569228,
      -0.0013308037618570438,
      -0.0013770099324551678,
      -0.0014224820121026584,
      -0.001467231753786676,
      -0.0015112706571192593,
      -0.0015546098864387943,
      -0.001597260594348633,
      -0.0016392337112165814,
      -0.0016805400516686185,
      -0.001721190178864326,
      -0.00176119446504441,
      -0.0018005632978187907,
      -0.0018393067836371484,
      -0.001877434761980772,
      -0.0019149570604699235,
      -0.0019518832279503077,
      -0.001988222724669299,
      -0.0020239849594476935,
      -0.0020591791040362848,
      -0.0020938141098529816,
      -0.0021278989216236923,
      -0.0021614422193590426,
      -0.0021944526309405302,
      -0.002226938613251921,
      -0.0022589085679873815,
      -0.0022903706710076135,
      -0.002321332955542895
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334844257372623,
      10.093939674245316,
      9.846903632748372,
      9.596515195743063,
      9.345209010980444,
      9.095091646655563,
      8.847914810423767,
      8.605064814813971,
      8.367569130472383,
      8.13610964644202,
      7.911052799774594,
      7.692494351034891,
      7.480310005674707,
      7.27420754612921,
      7.07377692545084,
      6.878536434932656,
      6.68797238197025,
      6.501570797846449,
      6.318844020906228,
      6.139348759797893,
      5.962697517111238,
      5.788557808862567,
      5.616663257061077,
      5.446831063595413,
      5.278959242463118,
      5.113018752064763,
      4.949049795010152,
      4.787171672815329,
      4.627594587383531,
      4.470617425565552,
      4.316574970865496,
      4.165827650471,
      4.018756986311943,
      3.8757553704832413,
      3.7371999643574436,
      3.6034355006622905,
      3.4747642665648524,
      3.351438620997906,
      3.233655986627496,
      3.121556319971157,
      3.015215135316661,
      2.9146342637016347,
      2.8197438192278756,
      2.7303899837188617,
      2.646359403467377,
      2.5674097074542903,
      2.4932901437727404,
      2.4237420316033935,
      2.3584967407782926,
      2.2972746716587897,
      2.239770087939189,
      2.185609807352508,
      2.134433105961607,
      2.0859009239924267,
      2.0396929733693505,
      1.9955172234039074,
      1.9531381743958973,
      1.912362502946823,
      1.8730306872616143,
      1.8350148889343163,
      1.7982072991824274,
      1.762511238600018,
      1.7278463817587055,
      1.694146833693121,
      1.6613571794353494,
      1.6294297341117847,
      1.5983226183183756,
      1.5679984063312664,
      1.5384231708394154,
      1.5095657994771194,
      1.4813976031449783,
      1.4538924472310808,
      1.4270242069932728,
      1.4007691746669098,
      1.3751074640443195,
      1.3500227978819968,
      1.3254997480179618,
      1.301522249821862,
      1.2780740918179176,
      1.255139218015236,
      1.232701914212327,
      1.210746917085849,
      1.1892594736305084,
      1.1682253688309612,
      1.147630933214819,
      1.1274639189877378,
      1.107713090327138,
      1.0883676769348505,
      1.0694172550563739,
      1.0508513677040912,
      1.0326596821996772,
      1.0148320851313748,
      0.9973587366931107,
      0.9802301009525671,
      0.96343695858137,
      0.9469704097142105,
      0.9308218704527985,
      0.9149830648295412,
      0.8994460154465856,
      0.8842030323791705,
      0.8692467013904153,
      0.854569872795386,
      0.8401656497084184,
      0.8260273765813176,
      0.8121486287274058,
      0.7985232772668444,
      0.7851458202358533,
      0.7720109796777926,
      0.7591134716672149,
      0.7464480683831829,
      0.7340096358754947,
      0.7217931547766987,
      0.7097937322483541,
      0.6980066079778025,
      0.6864271547103845,
      0.6750508774185002,
      0.6638734108010794,
      0.6528905163253799,
      0.6420980775226303,
      0.6314920962868696,
      0.6210686835390261,
      0.6108240061210736,
      0.6007543232914583,
      0.5908560256033085,
      0.5811256202653755,
      0.5715597203878425,
      0.5621550376385566,
      0.5529083760888446,
      0.5438166269644492,
      0.5348767647546245,
      0.5260858433541518,
      0.5174409925629964,
      0.5089394158051511,
      0.500578386822514,
      0.49235524711854306,
      0.4842678126205165,
      0.476314488329121,
      0.4684934616108757,
      0.4608027058476692,
      0.4532400781863542,
      0.44580338100692446,
      0.43849040051040644,
      0.43129893119889673,
      0.4242267906720843,
      0.41727182839421456,
      0.41043193125057376,
      0.40370502623281235,
      0.3970891457369845,
      0.39058262609799066,
      0.38418381232021886,
      0.3778909696032643,
      0.37170232662341157,
      0.3656161032334205,
      0.35963052706933474,
      0.3537438441202519,
      0.34795432462999804,
      0.34226028058845526,
      0.3366601737162729,
      0.33115252048968435,
      0.32573580497114507,
      0.32040850210762345,
      0.3151690924202367,
      0.31001607065979325,
      0.304947951531309,
      0.29996329593036547,
      0.2950607042397841,
      0.2902387882252738,
      0.28549614159728764,
      0.2808311763436244,
      0.27624231117731446,
      0.2717280874281246,
      0.26728713336620663,
      0.26291814136439035,
      0.2586198529358367,
      0.25439104910105353,
      0.25023054380171766,
      0.24613717976703958,
      0.2421101269547903,
      0.23814876957383715,
      0.23425233250560298,
      0.2304199320768944,
      0.22665062166011696,
      0.22294342078276502,
      0.21929733387470898,
      0.21571136204608968,
      0.21218451091942422,
      0.2087157952085002,
      0.20530424161565375,
      0.20194889088673806,
      0.19864877355125643,
      0.19540284813114317,
      0.1922101078857632,
      0.18906959956194372,
      0.1859804097225593,
      0.18294165588308214,
      0.1799524809598996,
      0.17701204900055972,
      0.17411954279190311,
      0.17127416212254967,
      0.16847509262218657,
      0.16572140350588987,
      0.163012185860492,
      0.16034660408827142,
      0.1577238746904973,
      0.15514325234978774,
      0.1526040206863219,
      0.15010548614494518,
      0.1476469738966787,
      0.14522782514850863,
      0.1428473953228162,
      0.14050505274504066,
      0.13820017761773842,
      0.13593216148211687,
      0.13370040649059656,
      0.13150432533422693,
      0.12934334078225931,
      0.1272168853857152,
      0.12512440125496863,
      0.12306533986694386,
      0.12103916183713868,
      0.11904533679046618,
      0.11708334309463739,
      0.11515266795201612,
      0.11325280685163115,
      0.1113832637345408,
      0.10954355073513918,
      0.10773318803760741,
      0.10595170371461796,
      0.10419863360438046,
      0.10247352113067461,
      0.10077591718629653,
      0.09910538017496415,
      0.09746147568422336,
      0.09584377642419074,
      0.09425186198698475,
      0.09268531893500974,
      0.09114374060122879,
      0.08962672676018694,
      0.08813388383035956,
      0.08666482462525416,
      0.08521916825743721,
      0.08379654008383386,
      0.08239657155496256,
      0.08101890000315903,
      0.07966316869968376,
      0.07832902673556863,
      0.0770161288343394,
      0.07572413534993387,
      0.07445271220256024,
      0.0732015306243913,
      0.07197026710878288,
      0.07075860341049048,
      0.06956622642477052,
      0.0683928281841312,
      0.0672381054726121,
      0.06610176019256839,
      0.06498349900563606,
      0.06388303327107935,
      0.06280007906852712,
      0.06173435695124988,
      0.060685591974208454,
      0.05965351361110696,
      0.058637855713464686,
      0.05763835637142378,
      0.05665475788577897,
      0.05568680677774442,
      0.05473425348705783,
      0.05379685261924121,
      0.05287436276932941,
      0.05196654609968334,
      0.051073168767918294,
      0.05019400073348114,
      0.04932881563614866,
      0.048477390704056565,
      0.047639506617998297,
      0.04681494771359249,
      0.04600350177369268,
      0.045204959948840835,
      0.04441911674748843,
      0.04364576989291299,
      0.04288472031280163,
      0.04213577226880124,
      0.041398733119813534,
      0.04067341332319094,
      0.03995962624421884,
      0.039257188323432966,
      0.0385659189786641,
      0.03788564035018003,
      0.03721617749526701,
      0.03655735831695101,
      0.03590901345304581,
      0.03527097612476887,
      0.0346430823356498,
      0.0340251707404531,
      0.03341708247391519,
      0.03281866119874296,
      0.03222975314413121,
      0.031650207020833994,
      0.031079873850100487,
      0.030518607043683466,
      0.029966262410021528,
      0.029422697985317228,
      0.028887774146785117,
      0.02836135334045765,
      0.027843300440748366,
      0.027333482336357913,
      0.026831768058956346,
      0.02633802875438451,
      0.02585213756690598,
      0.025373969702785302,
      0.024903402260137774,
      0.024440314339571296,
      0.023984586997640927,
      0.023536103264637887,
      0.02309474799222074,
      0.022660407746215378,
      0.022232970998741476,
      0.02181232807959134,
      0.021398370931315785,
      0.020990993252369815,
      0.02059009033513692,
      0.02019555929852946,
      0.019807298850242683,
      0.019425209227181026,
      0.019049192421951647,
      0.018679151830287434,
      0.018314992483632383,
      0.01795662088680562,
      0.017603944918771427,
      0.017256874114305668,
      0.016915319411077975,
      0.01657919299134925,
      0.016248408644244178,
      0.015922881459327878,
      0.015602527773716256,
      0.015287265384964853,
      0.014977013419466802,
      0.014671692225401517,
      0.01437122340394175,
      0.014075529794467674,
      0.013784535604617955,
      0.013498166068503346,
      0.013216347726046034,
      0.012939008192226476,
      0.012666076191235678,
      0.012397481766726504,
      0.012133156020082175,
      0.011873031043831837,
      0.011617040087986828,
      0.011365117323484317,
      0.011117198105649612,
      0.010873218849411273,
      0.010633117006514037,
      0.010396830928346812,
      0.010164300044605312,
      0.00993546462563314,
      0.009710265860034472,
      0.00948864596086654,
      0.009270548066159495,
      0.009055916213018373,
      0.00884469523263865,
      0.008636830902728312,
      0.008432269912939012,
      0.008230959865389239,
      0.0080328489929189,
      0.007837886445716872,
      0.007646022263562875,
      0.007457207205109907,
      0.007271392739212137,
      0.007088531191634142,
      0.006908575627932433,
      0.00673147989179137,
      0.006557198608489152,
      0.00638568699393811,
      0.006216901016302845,
      0.006050797286648525,
      0.005887333289409384,
      0.005726467037445443,
      0.0055681572189896725,
      0.005412363156194363,
      0.005259044944627597,
      0.0051081632330261945,
      0.004959679215065639,
      0.004813554916032626,
      0.004669752770104704,
      0.0045282359120774355,
      0.004388967968726649,
      0.004251913259868631,
      0.00411703668352562,
      0.0039843035528234795,
      0.003853679809574913,
      0.003725131897070684,
      0.003598626774670734,
      0.00347413194070471,
      0.0033516154765541677,
      0.003231046004230993,
      0.0031123925567386507,
      0.002995624717346969,
      0.002880712659296355,
      0.0027676267168551777,
      0.0026563378733072828,
      0.0025468175643684155,
      0.0024390377504629633,
      0.002332970761963481,
      0.0022285894071767077,
      0.0021258668908936953,
      0.002024776772703112,
      0.0019252931114604973,
      0.001827390350554786,
      0.0017310434467909027,
      0.001636227568291263,
      0.0015429184361407985,
      0.001451092082589029,
      0.0013607250369594857,
      0.0012717940744743257,
      0.0011842764049816556,
      0.0010981495007050409,
      0.0010133913132829768,
      0.0009299801296777935,
      0.0008478944490794648,
      0.0007671132610042974,
      0.0006876157719269158,
      0.0006093815971224019,
      0.000532390744360488,
      0.0004566234271794477,
      0.0003820600572404307,
      0.0003086816128497928,
      0.00023646925858102644,
      0.00016540450059660314,
      9.546910767957008e-05,
      2.664510317377123e-05,
      -4.108523551724789e-05,
      -0.00010773925570825167,
      -0.00017333397860681366,
      -0.00023788627400237605,
      -0.0003014127294744325,
      -0.0003639295882338071,
      -0.00042545295930034244,
      -0.00048599868976260626,
      -0.0005455823189671735,
      -0.0006042190695242428,
      -0.0006619239960531802,
      -0.0007187118535388029,
      -0.0007745972888086216,
      -0.0008295946117816978,
      -0.0008837179790243172,
      -0.0009369812518096047,
      -0.0009893980762119066,
      -0.0010409818666790535,
      -0.0010917459223638375,
      -0.0011417031546886725,
      -0.001190866481781962,
      -0.0012392485229098852,
      -0.0012868615969775085,
      -0.0013337180892412685,
      -0.001379830073440552,
      -0.0014252092702352834,
      -0.0014698673033270396,
      -0.0015138156113505376,
      -0.0015570655117306453,
      -0.0015996280926893931,
      -0.0016415142439945869,
      -0.0016827347440687148,
      -0.0017233002262698623,
      -0.0017632210867191615,
      -0.0018025075572098953,
      -0.0018411697643273435,
      -0.0018792175465727832,
      -0.0019166606838860892,
      -0.001953508815069725,
      -0.0019897713420888616,
      -0.002025457549736862,
      -0.0020605766356191603,
      -0.002095137657367771,
      -0.002129149478927761,
      -0.0021626208819631476,
      -0.0021955603456276403,
      -0.002227976302634064,
      -0.0022598771215113717,
      -0.0022912709612327928,
      -0.0023221658605065087
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334840611223175,
      10.093927002673485,
      9.846875883564973,
      9.596467640194993,
      9.345138356046467,
      9.094995697274094,
      8.847792225676201,
      8.604914977047079,
      8.367392018439892,
      8.135905495149144,
      7.910821976606823,
      7.692237267181799,
      7.480027060078076,
      7.2738990959062235,
      7.07344328046966,
      6.878177846948907,
      6.687589085122691,
      6.50116305626455,
      6.318412168432155,
      6.138893288547431,
      5.962219128239389,
      5.788057451770517,
      5.616142104321597,
      5.446290570046933,
      5.27840117552657,
      5.11244496783243,
      4.948462342840553,
      4.786572872444018,
      4.626987630995531,
      4.470005884761209,
      4.315962394634334,
      4.165217598550959,
      4.018153034861682,
      3.8751610855562877,
      3.736618657591863,
      3.6028701783707233,
      3.474217583043867,
      3.350912843775763,
      3.233152974879227,
      3.1210775166063205,
      3.0147614180511693,
      2.914206008483475,
      2.819340796805673,
      2.7300112578845326,
      2.6460035157215724,
      2.567074999577964,
      2.492974803839816,
      2.4234441645794185,
      2.358214380332791,
      2.2970057711926066,
      2.2395124215198443,
      2.1853608811565817,
      2.1341907625252086,
      2.085663132576541,
      2.039457854374295,
      1.995283268912947,
      1.9529042096874123,
      1.9121275590789295,
      1.8727940784243449,
      1.8347761273585979,
      1.7979660041405592,
      1.7622670831121068,
      1.7275991615602748,
      1.6938964301077268,
      1.6611035336861362,
      1.6291728282518612,
      1.5980624628681332,
      1.5677350317967242,
      1.53815662032729,
      1.5092961250582948,
      1.4811248730901099,
      1.453616764022389,
      1.426745766590486,
      1.4004882639840925,
      1.3748244132630212,
      1.3497380313598262,
      1.3252135579677367,
      1.301234841843668,
      1.2777856140883852,
      1.2548497813598964,
      1.2324116050948652,
      1.210455805448802,
      1.1889676184362432,
      1.1679328216084197,
      1.1473377412925365,
      1.1271701467285362,
      1.1074188061004213,
      1.0880729475825182,
      1.069122136383359,
      1.0505559081278393,
      1.0323639251104897,
      1.0145360708304516,
      0.9970625032499879,
      0.9799336846945216,
      0.9631403947245913,
      0.9466737325765185,
      0.9305251134529323,
      0.9146862608316183,
      0.8991491968909354,
      0.883906231352652,
      0.8689499494830711,
      0.8542732014055219,
      0.8398690896766763,
      0.8257309583744237,
      0.8118523821028278,
      0.7982273071252424,
      0.7848503123094661,
      0.7717160600299091,
      0.7588192278377184,
      0.74615456334071,
      0.7337169163754705,
      0.7215012570725094,
      0.7095026861105228,
      0.6977164383710394,
      0.6861378839307877,
      0.6747625256110753,
      0.6635859966909157,
      0.6526040575030794,
      0.6418125908954715,
      0.6312075980356258,
      0.6207851888613609,
      0.610541528987975,
      0.6004728779226075,
      0.5905756259759926,
      0.5808462798945089,
      0.5712814527846769,
      0.5618778562272785,
      0.552632294039638,
      0.5435416570957318,
      0.5346029194780287,
      0.5258131346369839,
      0.5171694322142946,
      0.5086690151692761,
      0.5003091569239251,
      0.49208719844271964,
      0.48400104146647854,
      0.47604909359383957,
      0.4682295071256571,
      0.4605402331244962,
      0.4529791141478553,
      0.44554394332073416,
      0.4382325008767709,
      0.4310425774680134,
      0.4239719880779461,
      0.4170185806476403,
      0.4101802406806195,
      0.40345489412234675,
      0.3968405856711024,
      0.39033566838770567,
      0.38393847513583884,
      0.3776472634007176,
      0.37146025698348445,
      0.3653756724073108,
      0.35939173522921825,
      0.3535066898603943,
      0.34771880576465736,
      0.34202639954576924,
      0.33642793972210966,
      0.33092193759419863,
      0.32550687366978454,
      0.32018122077952976,
      0.31494345786524885,
      0.30979207880510434,
      0.30472559747048433,
      0.29974257625977674,
      0.2948416152504745,
      0.2900213251226739,
      0.2852803004607968,
      0.2806169553010545,
      0.276029706748349,
      0.27151709499530147,
      0.26707774744853185,
      0.2627103560004563,
      0.25841366170643204,
      0.25418644535250623,
      0.2500275208410501,
      0.2459357305335749,
      0.2419102573133599,
      0.23795048588041232,
      0.23405563574266913,
      0.2302248196728543,
      0.22645708867102174,
      0.2227514607963097,
      0.2191069393984204,
      0.2155225249668676,
      0.21199722252678074,
      0.20853004640517267,
      0.20512002329114384,
      0.20176619374242902,
      0.19846758564776582,
      0.19522315471170454,
      0.19203189606295662,
      0.18889285757678576,
      0.18580512670394933,
      0.1827678215587448,
      0.17978008519075064,
      0.17684108190012532,
      0.17394999466103664,
      0.17110602316209977,
      0.16830838279955138,
      0.16555622906852227,
      0.1628486300965622,
      0.16018471644988408,
      0.1575636824154898,
      0.15498476802890093,
      0.15244724740100618,
      0.14995042066609546,
      0.1474936090570682,
      0.14507615123905807,
      0.14269740095087238,
      0.14035672531647558,
      0.13805350377595277,
      0.1357871274352911,
      0.13355699834319182,
      0.13136252897908426,
      0.129203142007472,
      0.1270782698978899,
      0.12498735486757667,
      0.12292984828747004,
      0.1209052108611703,
      0.11891291225990296,
      0.1169524310404768,
      0.11502325437479242,
      0.1131248778769912,
      0.11125680547633604,
      0.10941854947610946,
      0.10760963012445528,
      0.10582957556735374,
      0.10407792166855126,
      0.10235421192485965,
      0.10065799734347299,
      0.0989888363693947,
      0.09734629472361253,
      0.09572994510703889,
      0.0941393672777487,
      0.09257414784056414,
      0.09103388008563562,
      0.0895181639645879,
      0.0880266060195681,
      0.08655881920804948,
      0.08511442279140276,
      0.08369304202915856,
      0.0822943084955297,
      0.08091785965464104,
      0.07956333893098218,
      0.07823039543477767,
      0.07691868398129977,
      0.07562786496206794,
      0.0743576043156581,
      0.07310757331449245,
      0.07187744861934951,
      0.07066691202851227,
      0.06947565062465819,
      0.0683033564252703,
      0.06714972651529727,
      0.06601446283920173,
      0.06489727206794883,
      0.06379786558513145,
      0.06271595956356373,
      0.06165127469688779,
      0.060603536036950546,
      0.059572473203740796,
      0.058557820172909586,
      0.057559315079943704,
      0.056576700303583354,
      0.05560972240593074,
      0.05465813204055331,
      0.05372168380923583,
      0.05280013630517786,
      0.05189325196758024,
      0.05100079702697409,
      0.0501225414935578,
      0.049258259038853926,
      0.048407726856160814,
      0.04757072596063937,
      0.046747040667083,
      0.04593645878033174,
      0.045138771445379006,
      0.044353773385955426,
      0.0435812624567161,
      0.04282103968117351,
      0.04207290936561672,
      0.0413366789357276,
      0.04061215892860999,
      0.039899162763983864,
      0.039197506950270945,
      0.03850701088169394,
      0.03782749691747658,
      0.03715879027171289,
      0.036500718821913594,
      0.03585311328126444,
      0.035215807012161995,
      0.03458863601886518,
      0.03397143905214097,
      0.03336405741281441,
      0.03276633480292836,
      0.03217811744741206,
      0.03159925411712573,
      0.031029595926348023,
      0.03046899648932424,
      0.029917311577342034,
      0.029374399312341166,
      0.02884012017221161,
      0.028314336814785408,
      0.027796913992346496,
      0.027287718633754218,
      0.026786619820283644,
      0.02629348882724332,
      0.025808198944852288,
      0.025330625389825244,
      0.02486064544053021,
      0.024398138262343397,
      0.023942984854659188,
      0.023495068335843746,
      0.02305427366379388,
      0.02262048764385359,
      0.022193598638204227,
      0.02177349699564136,
      0.021360074736831505,
      0.020953225546462322,
      0.02055284492631651,
      0.020158830078416328,
      0.019771079801644772,
      0.019389494337002645,
      0.019013975587461474,
      0.018644427179126163,
      0.018280754102413692,
      0.017922862848959845,
      0.017570661585750033,
      0.01722405983351409,
      0.016882968532031153,
      0.01654730006622843,
      0.01621696813914908,
      0.015891887980961146,
      0.015571975997260748,
      0.015257150064979316,
      0.01494732928030679,
      0.014642434099562488,
      0.014342386122794586,
      0.014047108314381681,
      0.013756524738873604,
      0.013470560829721381,
      0.013189143204855659,
      0.012912199525250072,
      0.012639658561120762,
      0.012371450281410706,
      0.012107505980021745,
      0.01184775780900862,
      0.01159213910420385,
      0.011340584129879903,
      0.011093028349119766,
      0.010849408168998625,
      0.01060966088420172,
      0.010373724984573174,
      0.010141539944812447,
      0.009913046044336604,
      0.009688184546322294,
      0.009466897823608907,
      0.009249129011640057,
      0.009034822192560707,
      0.008823922360199275,
      0.008616375248867793,
      0.008412127603881164,
      0.008211126902470627,
      0.008013321567728613,
      0.007818660766015673,
      0.007627094538415147,
      0.007438573623683086,
      0.007253049691230303,
      0.007070475100441382,
      0.006890802968248005,
      0.006713987131459443,
      0.006539982137281753,
      0.006368743332224196,
      0.0062002266802350025,
      0.006034388946410804,
      0.005871187603481061,
      0.005710580639468939,
      0.005552526761663347,
      0.005396985489245112,
      0.005243916936881689,
      0.005093281766407716,
      0.0049450412425799915,
      0.00479915719507657,
      0.00465559228257741,
      0.004514309642372717,
      0.004375273038478496,
      0.004238446770171811,
      0.004103795595411922,
      0.003971284910681259,
      0.0038408808123617357,
      0.0037125497281400165,
      0.0035862587115272613,
      0.0034619753889618774,
      0.0033396677307852636,
      0.0032193044473448826,
      0.003100854579585287,
      0.0029842876448575315,
      0.0028695738231106706,
      0.002756683686397446,
      0.002645588166184927,
      0.002536258680990632,
      0.002428667253431295,
      0.002322786272869463,
      0.002218588495448085,
      0.002116047140548712,
      0.0020151358683623216,
      0.0019158287019631509,
      0.0018181002179558188,
      0.0017219253002696147,
      0.001627279296153329,
      0.0015341378174837958,
      0.0014424770141059113,
      0.0013522733528240167,
      0.001263503633220121,
      0.0011761450811945018,
      0.001090175214698565,
      0.0010055720229939157,
      0.0009223137846764006,
      0.0008403791286203417,
      0.0007597470329104814,
      0.0006803967359288495,
      0.0006023078710703595,
      0.0005254603614299611,
      0.000449834493525302,
      0.0003754108653972473,
      0.000302170253204453,
      0.00023009396841690126,
      0.0001591633961956357,
      8.936041229698075e-05,
      2.0667101912766932e-05,
      -4.693420247418863e-05,
      -0.00011346081227404782,
      -0.00017892987185587665,
      -0.00024335813940164956,
      -0.00030676217346593956,
      -0.00036915828382442606,
      -0.0004305624425063536,
      -0.0004909904357373812,
      -0.0005504578494460312,
      -0.0006089799015980018,
      -0.0006665715718333735,
      -0.0007232477048846282,
      -0.0007790229286951046,
      -0.0008339116422862836,
      -0.0008879277282478359,
      -0.000941085116570266,
      -0.0009933974447369324,
      -0.0010448781558929897,
      -0.0010955404560650083,
      -0.0011453973916376746,
      -0.0011944617413504205,
      -0.001242746117553294,
      -0.0012902629520150065,
      -0.0013370244047055347,
      -0.0013830424498034813,
      -0.0014283289481065737,
      -0.001472895477339439,
      -0.0015167535621409987,
      -0.001559914509327241,
      -0.0016023893568211875,
      -0.001644188904303957,
      -0.0016853240101736425,
      -0.0017258053159039221,
      -0.001765643135364584,
      -0.0018048475906178752,
      -0.0018434287088544686,
      -0.001881396449126993,
      -0.0019187605887275834,
      -0.0019555307998884827,
      -0.001991716483965185,
      -0.0020273269294338175,
      -0.0020623712654644264,
      -0.0020968584596566656,
      -0.0021307974997844706,
      -0.0021641969961465894,
      -0.002197065597225491,
      -0.002229411667555251,
      -0.0022612435110631406,
      -0.002292569391188607,
      -0.0023233973662188804
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334836976362922,
      10.093914373328598,
      9.846848225923766,
      9.59642024126734,
      9.345067934784538,
      9.094900067888199,
      8.847670052720398,
      8.604765647419049,
      8.367215513807514,
      8.135702052207417,
      7.91059196411691,
      7.6919810978916106,
      7.4797451318899615,
      7.273591765382043,
      7.0731108548721835,
      6.877820576283157,
      6.6872072038330215,
      6.500756829793312,
      6.317981931393018,
      6.138439532027205,
      5.961742552215483,
      5.787559006808461,
      5.615622961697893,
      5.445752181666838,
      5.277845303726112,
      5.111873465225981,
      4.947877255709821,
      4.785976515751594,
      4.6263831890535485,
      4.469396920396894,
      4.315352447587497,
      4.1646102182010445,
      4.01755178472085,
      3.874569519595667,
      3.7360400759889356,
      3.602307575271903,
      3.4736736002067268,
      3.350389737485733,
      3.232652593794268,
      3.1206012940743113,
      3.014310223083964,
      2.913780209665226,
      2.818940159055078,
      2.729634842280251,
      2.645649820750564,
      2.566742336741498,
      2.492661375925235,
      2.423148089533781,
      2.3579337039969097,
      2.296738459060871,
      2.2392562606803987,
      2.1851133904325564,
      2.1339497954100204,
      2.0854266689755727,
      2.0392240246934072,
      1.9950505734492268,
      1.9526714795241702,
      1.91189382998216,
      1.8725586680486483,
      1.8345385505990441,
      1.7977258818923725,
      1.7620240888660819,
      1.7273530920918103,
      1.6936471676808373,
      1.6608510200530064,
      1.62891704639094,
      1.5978034239544494,
      1.5674727662064227,
      1.5378911715701749,
      1.509027545068449,
      1.4808532302706414,
      1.4533421617106712,
      1.4264684006415147,
      1.4002084215152697,
      1.3745424244550666,
      1.3494543214813277,
      1.3249284190172295,
      1.3009484794518853,
      1.277498176958812,
      1.25456138011751,
      1.2321223254756821,
      1.2101657173064944,
      1.188676780770607,
      1.16764128666921,
      1.1470455594885296,
      1.1268773836947135,
      1.1071255288034447,
      1.087779221580293,
      1.068828016362339,
      1.0502614418533984,
      1.0320691556811064,
      1.014241038104293,
      0.996767245258963,
      0.9796382378769674,
      0.962844794349964,
      0.946378012956762,
      0.9302293082446152,
      0.9143904031751715,
      0.8988533192861585,
      0.8836103657779304,
      0.8686541277081138,
      0.8539774544295088,
      0.8395734483267437,
      0.825435452825715,
      0.8115570424572812,
      0.7979322927555446,
      0.7845557880829458,
      0.7714221390342632,
      0.758525989857496,
      0.7458620662940119,
      0.7334252037925942,
      0.7212103636439543,
      0.709212640174341,
      0.6974272643221988,
      0.6858496031086754,
      0.6744751576525272,
      0.663299560258863,
      0.6523185699594652,
      0.6415280689288764,
      0.6309240576673846,
      0.6205026450087876,
      0.6102599955497438,
      0.6001923690490613,
      0.5902961560091625,
      0.5805678629704801,
      0.5710041027078265,
      0.5616015863619178,
      0.5523571174220087,
      0.5432675864362044,
      0.5343299670540779,
      0.5255413125348046,
      0.5168987521049179,
      0.5083994884594031,
      0.5000407945689175,
      0.4918200113635196,
      0.4837351256810152,
      0.4757845476867585,
      0.46796639483764374,
      0.4602785958942592,
      0.45271897909563125,
      0.4452853283028822,
      0.437975417646344,
      0.43078703394439777,
      0.4237179894532325,
      0.4167661302753624,
      0.4099293408515596,
      0.40320554632298194,
      0.39659280973587185,
      0.3900894920285863,
      0.38369391512199286,
      0.37740432926506506,
      0.3712189537309482,
      0.3651360019816629,
      0.35915369755846765,
      0.35327028353515594,
      0.34748402837705,
      0.34179325376943337,
      0.33619643492434576,
      0.33069207763345876,
      0.3252786590628946,
      0.31995464979611793,
      0.3147185272677795,
      0.30956878441508684,
      0.30450393489384386,
      0.299522542220188,
      0.29462320589569196,
      0.28980453562480823,
      0.28506512703941445,
      0.2804033960546553,
      0.2758177581242447,
      0.27130675238785457,
      0.2668690054979208,
      0.2625032086702256,
      0.2582081026371454,
      0.2539824679448428,
      0.24982511824728065,
      0.24573489578648622,
      0.24171099628900622,
      0.23775280491450035,
      0.23385953565102616,
      0.23003029785033066,
      0.22626414032344033,
      0.2225600794886123,
      0.21891711768476685,
      0.2153342546590356,
      0.2118104950478787,
      0.20834485288632482,
      0.20493635457650683,
      0.20158404051958986,
      0.19828693420025784,
      0.19504399106319215,
      0.19185420790410065,
      0.1887166336290055,
      0.18563035625151958,
      0.1825944943257154,
      0.1796081912312924,
      0.17667061145135174,
      0.17378093801488975,
      0.17093837072739296,
      0.16814212499852912,
      0.16539142577728902,
      0.16268539248473607,
      0.1600231117773088,
      0.15740374952546307,
      0.15482652720525084,
      0.15229070674358658,
      0.14979558048560654,
      0.1473404643822323,
      0.1449246936664325,
      0.14254761978779154,
      0.1402086084793742,
      0.1379070383838551,
      0.1356423000689938,
      0.13341379511131987,
      0.13122093581042207,
      0.12906314482182113,
      0.12693985438814506,
      0.12485050666861142,
      0.12279455331637336,
      0.12077145499001457,
      0.1187806813636106,
      0.1168217110314314,
      0.11489403125028604,
      0.11299713775369791,
      0.11113053459319701,
      0.10929373401308136,
      0.10748625635150985,
      0.10570762986625272,
      0.10395739054852882,
      0.10223508198775211,
      0.10054025532514378,
      0.09887246895886778,
      0.09723128854736089,
      0.09561628697995528,
      0.09402704413020271,
      0.09246314666475713,
      0.09092418803475204,
      0.08940976826161612,
      0.08791949389159746,
      0.08645297790319975,
      0.08500983966567278,
      0.08358970464616022,
      0.08219220442167458,
      0.08081697656282731,
      0.07946366457389335,
      0.07813191758668578,
      0.07682139067574326,
      0.07553174426291344,
      0.0742626442915167,
      0.07301376212776041,
      0.0717847745707751,
      0.07057536360580885,
      0.06938521623011765,
      0.06821402470096133,
      0.06706148611900593,
      0.06592730238892844,
      0.06481118031194055,
      0.06371283143240852,
      0.06263197194319252,
      0.061568322528693945,
      0.06052160853618948,
      0.05949155964273087,
      0.058477909792593735,
      0.057480397293648205,
      0.05649876466295397,
      0.055532758510196394,
      0.05458212951261037,
      0.05364663244673362,
      0.052726025926948535,
      0.05182007242226616,
      0.05092853823672958,
      0.05005119348211384,
      0.04918781197587362,
      0.048338171016244366,
      0.04750205153311553,
      0.0466792380681765,
      0.04586951852699479,
      0.045072684246216965,
      0.044288529888846816,
      0.043516853323984785,
      0.04275745582078677,
      0.042010141740120806,
      0.04127471846042686,
      0.04055099661135762,
      0.03983878974044237,
      0.0391379144620806,
      0.03844819027126248,
      0.03776943958484878,
      0.037101487536098,
      0.03644416229532502,
      0.03579729460987891,
      0.03516071783127004,
      0.03453426822578092,
      0.033917784456447116,
      0.03331110797817198,
      0.032714082482229456,
      0.03212655434851838,
      0.031548372440445796,
      0.03097938801713219,
      0.03041945460422151,
      0.029868428153326704,
      0.02932616680356786,
      0.0287925310334163,
      0.028267383643421237,
      0.027750589461710055,
      0.02724201556610072,
      0.026741531133422307,
      0.026249007487726943,
      0.025764317806949346,
      0.02528733740945165,
      0.02481794374956982,
      0.02435601589355429,
      0.023901435146963308,
      0.023454084755725416,
      0.02301384956350299,
      0.02258061627354732,
      0.022154273533077636,
      0.021734711708893226,
      0.02132182293522973,
      0.02091550104298228,
      0.02051564151578012,
      0.02012214157079744,
      0.019734900016669638,
      0.019353817359998624,
      0.018978795548864724,
      0.0186097381552177,
      0.018246550219389944,
      0.01788913846349402,
      0.01753741102116187,
      0.017191277402089138,
      0.01685064858898126,
      0.016515437025891685,
      0.016185556580349893,
      0.01586092244735947,
      0.015541451148046573,
      0.015227060443870725,
      0.014917669669593354,
      0.014613199295963178,
      0.01431357104443106,
      0.014018707942562878,
      0.013728534213093176,
      0.013442975161390737,
      0.0131619573657779,
      0.012885408631549668,
      0.012613257949484712,
      0.012345435369959353,
      0.012081871944923384,
      0.011822499991900813,
      0.01156725277752947,
      0.011316064701133725,
      0.011068871253676515,
      0.010825608942823228,
      0.010586215234732221,
      0.010350628563061069,
      0.010118788361085708,
      0.009890635059489093,
      0.009666110043436728,
      0.009445155594327239,
      0.00922771495609898,
      0.009013732252203432,
      0.008803152502025468,
      0.008595921551312872,
      0.008391986107755515,
      0.008191293773735524,
      0.007993792961345786,
      0.007799432906558103,
      0.007608163736929124,
      0.007419936212235429,
      0.00723470199587608,
      0.007052413439521919,
      0.006873023752462418,
      0.006696486843462189,
      0.0065227573241905855,
      0.006351790464747859,
      0.006183542412613787,
      0.006017969918554303,
      0.00585503045336326,
      0.005694682104350172,
      0.005536883658224446,
      0.005381594618690562,
      0.005228775028434336,
      0.005078385706113132,
      0.004930387978148287,
      0.004784743705158023,
      0.004641415456529893,
      0.004500366535393521,
      0.004361560681766897,
      0.004224962159314038,
      0.004090535901353883,
      0.003958247284022455,
      0.00382806245495382,
      0.003699947831163884,
      0.0035738705145473273,
      0.0034497981307688164,
      0.003327698804027298,
      0.0032075411591677458,
      0.003089294319405412,
      0.0029729278485164995,
      0.0028584118607055302,
      0.002745716864808997,
      0.0026348139922408374,
      0.0025256748326296383,
      0.0024182712523966744,
      0.002312575653359326,
      0.002208560851526749,
      0.002106200148488673,
      0.00200546718855171,
      0.0019063360713733402,
      0.0018087813714021141,
      0.0017127779996675377,
      0.001618301232541517,
      0.0015253268820718815,
      0.0014338311371224948,
      0.0013437903809749017,
      0.001255181423086622,
      0.0011679814653037838,
      0.001082168253901317,
      0.0009977196933423837,
      0.0009146139568291694,
      0.0008328297440860574,
      0.0007523461403270984,
      0.0006731424516526179,
      0.0005951983590479408,
      0.0005184937178191901,
      0.0004430088220051434,
      0.00036872431426660077,
      0.00029562109711516024,
      0.00022368043613151418,
      0.00015288386098976742,
      8.32130737263817e-05,
      1.4650214297938922e-05,
      -5.2822362527107296e-05,
      -0.00011922199716350472,
      -0.000184565787026524,
      -0.0002488704628104924,
      -0.00031215249873188777,
      -0.0003744281389309774,
      -0.0004357134804175663,
      -0.0004960242373815381,
      -0.0005553759299774339,
      -0.0006137838243171483,
      -0.0006712629289356729,
      -0.000727827977369913,
      -0.0007834935114417211,
      -0.0008382738491748193,
      -0.0008921830712292254,
      -0.0009452348852038485,
      -0.0009974430166029404,
      -0.0010488210084741057,
      -0.0010993819306343974,
      -0.0011491388385688028,
      -0.0011981044808816196,
      -0.001246291425948618,
      -0.001293712111028837,
      -0.0013403786938940322,
      -0.0013863032851260868,
      -0.0014314976076980365,
      -0.001475973271932406,
      -0.001519741611006695,
      -0.0015628138975003055,
      -0.0016052012537892556,
      -0.0016469145368673453,
      -0.001687964527207677,
      -0.0017283616911933698,
      -0.0017681164130173763,
      -0.0018072389718526711,
      -0.0018457394042131969,
      -0.0018836275496061817,
      -0.001920913127320853,
      -0.0019576058318811975,
      -0.0019937151103042224,
      -0.0020292501354314684,
      -0.0020642200203039134,
      -0.002098633866472271,
      -0.0021325005326987287,
      -0.0021658286441722315,
      -0.0021986267281651362,
      -0.0022309031648681263,
      -0.002262666303040874,
      -0.002293924384440378,
      -0.0023246854618293082
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334833353706586,
      10.09390178361636,
      9.846820644270858,
      9.596372961900402,
      9.344997683996302,
      9.094804667640137,
      8.847548173625526,
      8.604616677167545,
      8.367039435543342,
      8.135499102878141,
      7.910362513732268,
      7.69172555986941,
      7.479463905151368,
      7.273285206168206,
      7.072779272817358,
      6.877464223975451,
      6.686826314300168,
      6.500351667146631,
      6.317552830512484,
      6.1379869844023744,
      5.961267259113951,
      5.787061916565837,
      5.615105244460211,
      5.445215289028902,
      5.277290996320427,
      5.111303594468865,
      4.947293865127513,
      4.7853819172496035,
      4.6257805614026095,
      4.468789819091934,
      4.314744404487057,
      4.164004773204576,
      4.0169525658269025,
      3.873980059990445,
      3.735463654664032,
      3.6017471673843318,
      3.4731318314135455,
      3.3498688480147414,
      3.232154418030695,
      3.120127252987821,
      3.0138611738684546,
      2.91335651037901,
      2.8185415672027294,
      2.7292604129659135,
      2.645298045813229,
      2.5664115237715044,
      2.492349727919122,
      2.4228537260158194,
      2.357654673256003,
      2.2964727295675305,
      2.2390016239506454,
      2.184867372313601,
      2.133710255619039,
      2.0851915935668575,
      2.0389915498586415,
      1.9948192043437205,
      1.9524400511507896,
      1.9116613819561312,
      1.8723245208203065,
      1.8343022217313905,
      1.7974869940457778,
      1.7617823166121116,
      1.7271082331528593,
      1.6933991051263297,
      1.6605996960883862,
      1.6286624438348858,
      1.5975455541187853,
      1.5672116599455739,
      1.537626872851982,
      1.5087601063611054,
      1.4805827202263078,
      1.4530686825068002,
      1.4261921488144456,
      1.3999296850728595,
      1.3742615345215738,
      1.3491717030980455,
      1.3246443641544203,
      1.3006631935515456,
      1.2772118082187096,
      1.254274040014417,
      1.2318341005279023,
      1.2098766771622183,
      1.1883869845046335,
      1.1673507860186514,
      1.1467544120485313,
      1.1265856586518668,
      1.1068332891280728,
      1.0874865300264607,
      1.0685349266089823,
      1.049968000770869,
      1.0317754061923703,
      1.0139470197437344,
      0.9964729957354411,
      0.9793437936089714,
      0.9625501904306736,
      0.9460832836672809,
      0.9299344871501661,
      0.9140955233133532,
      0.8985584132432506,
      0.883315465551907,
      0.8683592649686169,
      0.8536826605649463,
      0.8392787539725527,
      0.8251408884513378,
      0.8112626482001126,
      0.7976382326861468,
      0.7842622214016136,
      0.7711291750673477,
      0.7582337057336231,
      0.7455705185507945,
      0.7331344355190255,
      0.7209204086777421,
      0.7089235266284498,
      0.6971390162797559,
      0.6855622421191493,
      0.6741887034225078,
      0.663014030895922,
      0.6520339830675747,
      0.6412444412171553,
      0.6306414056683107,
      0.6202209838526638,
      0.6099793392537438,
      0.5999127317104518,
      0.5900175515407773,
      0.5802903050316501,
      0.5707276048304705,
      0.5613261620944182,
      0.55208277985608,
      0.5429943483864169,
      0.5340578410779206,
      0.5252703108174872,
      0.5166288866684317,
      0.5081307707538804,
      0.49977323541232355,
      0.4915536343016642,
      0.4834700322274178,
      0.4755208292594929,
      0.46770411063850964,
      0.4600177844170764,
      0.45245966571738466,
      0.4450275295176091,
      0.4377191443990042,
      0.4305322934896989,
      0.4234647867646013,
      0.41651446885588245,
      0.40967922307699295,
      0.4029569735223152,
      0.39634580717141643,
      0.38984408543670396,
      0.38345011970239296,
      0.37716215373539647,
      0.3709784025227827,
      0.36489707665449633,
      0.3589163978173452,
      0.35303460783139395,
      0.3472499745522343,
      0.34156082430859125,
      0.33596563922847283,
      0.33046291976610265,
      0.3250511396381432,
      0.31972876716206267,
      0.31449427832262056,
      0.3093461650337866,
      0.3042829414928208,
      0.29930317199957296,
      0.29440545466410106,
      0.2895883982756632,
      0.28485059982714617,
      0.28019047720944035,
      0.275606444144782,
      0.27109703854980627,
      0.26666088636861623,
      0.26229667831328773,
      0.25800315481321484,
      0.25377909611884064,
      0.24962331554190154,
      0.24553465872185332,
      0.24151233240672537,
      0.23755571841333187,
      0.2336640261697601,
      0.22983636201494062,
      0.22607177270888532,
      0.22236927334284512,
      0.21872786536635014,
      0.2151465480067598,
      0.21162432550523574,
      0.20816021157253348,
      0.2047532324443465,
      0.20140242829525198,
      0.19810681811053313,
      0.1948653570426386,
      0.19167704363612625,
      0.18854092790951815,
      0.1854560985337215,
      0.18242167445779908,
      0.17943679932202744,
      0.17650063769728594,
      0.1736123726357789,
      0.17077120393242573,
      0.1679763471427064,
      0.16522703249575033,
      0.16252247189116828,
      0.15986176311374442,
      0.15724403254883274,
      0.15466847597540478,
      0.15213433834830756,
      0.14964090088180335,
      0.1471874724002839,
      0.14477338341551388,
      0.14239798231109627,
      0.14006063279875788,
      0.13776071229488016,
      0.13549761047905262,
      0.13327072850102636,
      0.13107947829868916,
      0.12892328224169458,
      0.12680157273675144,
      0.12471379181906128,
      0.12265939097085544,
      0.12063783090522028,
      0.11864858139167322,
      0.11669112119915392,
      0.11476493755218725,
      0.1128695262502928,
      0.11100439131830178,
      0.1091690451542558,
      0.10736300813808779,
      0.10558580855299513,
      0.10383698256431244,
      0.10211607395120281,
      0.10042263374260448,
      0.0987562204818546,
      0.09711640000105194,
      0.09550274530306879,
      0.09391483627074741,
      0.09235225964106994,
      0.090814608812053,
      0.08930148395906783,
      0.0878124917734601,
      0.08634724539272552,
      0.08490536423844862,
      0.08348647383184249,
      0.08209020581534335,
      0.08071619775999533,
      0.07936409332816738,
      0.07803354183752802,
      0.0767241982079056,
      0.07543572304554624,
      0.07416778243651508,
      0.07292004789937234,
      0.07169219624316137,
      0.0704839094379463,
      0.06929487467300134,
      0.06812478418228995,
      0.06697333523186307,
      0.06584022991533142,
      0.06472517514232907,
      0.06362788250764626,
      0.06254806825409252,
      0.061485453131427295,
      0.06043976256788481,
      0.0594107262610252,
      0.05839807835073169,
      0.05740155721386528,
      0.05642090533887616,
      0.055455869527087295,
      0.05450620054399195,
      0.05357165316075743,
      0.052651986038915216,
      0.051746961871619236,
      0.050856347008261,
      0.04997991158672166,
      0.049117429571059634,
      0.04826867840012725,
      0.04743343914211926,
      0.046611496335091276,
      0.04580263795864898,
      0.0450066553072245,
      0.04422334330530261,
      0.043452499878901873,
      0.04269392632820302,
      0.04194742699969075,
      0.04121280953387236,
      0.040489884558584224,
      0.039778465826821534,
      0.03907836988271144,
      0.03838941632377646,
      0.03771142769903218,
      0.03704422923446241,
      0.03638764908375062,
      0.03574151804963727,
      0.03510566977338758,
      0.03447994040394498,
      0.03386416877312897,
      0.03325819625031752,
      0.03266186665120301,
      0.032075026461548806,
      0.03149752467671268,
      0.030929212625593998,
      0.030369943924323024,
      0.029819574616969203,
      0.029277962931018177,
      0.028744969372338836,
      0.028220456746261405,
      0.027704290053739453,
      0.027196336434373043,
      0.026696465092301388,
      0.026204547382613463,
      0.025720456632681556,
      0.025244068250902293,
      0.02477525969119175,
      0.0243139102533585,
      0.02385990115121763,
      0.023413115620712733,
      0.022973438678936916,
      0.022540757106681672,
      0.022114959571424387,
      0.02169593662086971,
      0.02128358035764568,
      0.020877784748535008,
      0.020478445286943918,
      0.02008545921369678,
      0.01969872541958971,
      0.019318144412090912,
      0.018943618262723026,
      0.0185750507641275,
      0.018212347040338406,
      0.01785541367766026,
      0.017504158848414334,
      0.01715849225643585,
      0.016818324859380472,
      0.016483569245230197,
      0.016154139213145922,
      0.01582995002089211,
      0.015510918319772408,
      0.015196962076050292,
      0.014888000503706231,
      0.014583954116746957,
      0.014284744735580767,
      0.01399029542222639,
      0.013700530382147238,
      0.01341537507421939,
      0.01313475623020672,
      0.012858601529022965,
      0.012586839949346697,
      0.012319401688347111,
      0.012056217983317455,
      0.01179722115357446,
      0.011542344564108176,
      0.01129152266314521,
      0.01104469084580363,
      0.010801785620660012,
      0.010562744608654815,
      0.010327506400150687,
      0.010096010390408866,
      0.009868197012594341,
      0.009644007656717548,
      0.009423384713082666,
      0.009206271537245785,
      0.008992612253205403,
      0.008782351833073819,
      0.008575436180178714,
      0.008371812082230553,
      0.008171427212272687,
      0.00797423005078179,
      0.007780169880576889,
      0.007589196842282173,
      0.0074012618278047095,
      0.007216316452833914,
      0.0070343131725281545,
      0.006855205132837215,
      0.006678946298461769,
      0.0065054914249729305,
      0.006334795881059835,
      0.006166815670618462,
      0.006001507635322522,
      0.005838829304453673,
      0.005678738912700248,
      0.005521195153439491,
      0.005366157646408131,
      0.005213586492907155,
      0.005063442335633242,
      0.004915686636572121,
      0.004770281373100425,
      0.004627189200631434,
      0.004486373261241173,
      0.004347797274542445,
      0.004211425681449426,
      0.004077223536406781,
      0.0039451561921798484,
      0.003815189698142716,
      0.0036872906923608654,
      0.003561426372518625,
      0.003437564271803654,
      0.003315672424061709,
      0.003195719600730714,
      0.0030776749401970034,
      0.002961508081137107,
      0.0028471891448315924,
      0.0027346887331549516,
      0.002623977895401526,
      0.0025150282309286585,
      0.0024078117203677482,
      0.002302300819206054,
      0.002198468343415022,
      0.0020962875533964004,
      0.0019957322718107628,
      0.0018967766089342173,
      0.0017993951091325982,
      0.0017035627019275563,
      0.0016092547752563297,
      0.0015164470914077438,
      0.0014251156665864345,
      0.0013352370776617338,
      0.001246788210929156,
      0.0011597463242606016,
      0.001074089103830548,
      0.0009897945131495636,
      0.0009068409291324661,
      0.0008252069808981019,
      0.0007448716312645522,
      0.0006658141066831155,
      0.0005880141850274375,
      0.0005114518613917498,
      0.00043610752414584183,
      0.0003619617252747811,
      0.0002889954411339763,
      0.0002171899343015793,
      0.00014652669890237295,
      7.698750885892174e-05,
      8.554460862314023e-06,
      -5.878994950560135e-05,
      -0.000125063081196801,
      -0.00019028191659654198,
      -0.00025446328106835107,
      -0.0003176236990350515,
      -0.0003797794269749216,
      -0.0004409464664693627,
      -0.0005011404360929983,
      -0.0005603768109601256,
      -0.0006186708879219485,
      -0.000676037648547075,
      -0.0007324919132996068,
      -0.0007880480815618721,
      -0.000842720442816392,
      -0.00089652313719983,
      -0.0009494698611994672,
      -0.0010015742776974669,
      -0.0010528499167554784,
      -0.0011033098726752157,
      -0.001152967071709044,
      -0.0012018343990492929,
      -0.001249924437762549,
      -0.0012972495626512618,
      -0.0013438218743833017,
      -0.0013896533233906452,
      -0.0014347556995640963,
      -0.0014791406020030155,
      -0.0015228194402027205,
      -0.001565803434245912,
      -0.0016081036716603116,
      -0.0016497310299566255,
      -0.00169069617488162,
      -0.001731009589562538,
      -0.0017706816856009264,
      -0.0018097226913970947,
      -0.001848142628634095,
      -0.0018859514214854137,
      -0.001923158789413137,
      -0.0019597742979877097,
      -0.0019958074346491826,
      -0.002031267315045934,
      -0.0020661630434442636,
      -0.002100503602070944,
      -0.0021342978417521253,
      -0.00216755449773598,
      -0.0022002821347241242,
      -0.0022324891745260883,
      -0.0022641838905940173,
      -0.0022953744469395546,
      -0.002326068834794027
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334829742949779,
      10.093889229164839,
      9.846793132468909,
      9.596325793689768,
      9.344927588426124,
      9.094709468481978,
      8.8474265437406,
      8.60446800846126,
      8.366863713654777,
      8.135296567278646,
      7.9101335355137685,
      7.691470552630866,
      7.479183268718253,
      7.27297929836336,
      7.072448402744435,
      6.877108640109953,
      6.686446250972477,
      6.499947389060554,
      6.317124671164589,
      6.137535436247032,
      5.96079302135336,
      5.786565935935318,
      5.614588688770216,
      5.44467960788477,
      5.276737949020362,
      5.1107350304346815,
      4.946711826867317,
      4.78478871369682,
      4.625179367606137,
      4.46818418557053,
      4.314137858936623,
      4.163400851124821,
      4.016354900341749,
      3.873392175873736,
      3.7348888232614152,
      3.6011883557582527,
      3.4725916558950725,
      3.3493495410687038,
      3.231657806876195,
      3.119654751358808,
      3.013413632605952,
      2.912934282342442,
      2.8181444040196464,
      2.7288873669781126,
      2.6449476076871177,
      2.5660820001725666,
      2.49203932224781,
      2.4225605590493213,
      2.3573767944590096,
      2.296208108990071,
      2.2387480558610204,
      2.184622385672798,
      2.133471714164875,
      2.084957488071631,
      2.038760021254583,
      1.9945887630412253,
      1.9522095367948997,
      1.911429836039336,
      1.8720912655629212,
      1.8340667756898124,
      1.7972489811826995,
      1.7615414127473656,
      1.7268642359002275,
      1.693151897305492,
      1.6603492200183871,
      1.6284086835189964,
      1.5972885213398302,
      1.5669513857184734,
      1.537363401143637,
      1.5084934897282725,
      1.4803130274959195,
      1.4527960086373977,
      1.4259166884398287,
      1.3996517302183267,
      1.3739814182623893,
      1.3488898524947988,
      1.324361072653714,
      1.3003786671205189,
      1.2769261960520881,
      1.2539874532251019,
      1.231546625127966,
      1.2095883830640246,
      1.1880979311037108,
      1.1670610257329015,
      1.1464640028011337,
      1.126294669247104,
      1.1065417825094845,
      1.087194569427926,
      1.068242565269803,
      1.0496752857271219,
      1.031482380220527,
      1.0136537227316813,
      0.9961794648712382,
      0.9790500648291441,
      0.9622562988402027,
      0.9457892635939116,
      0.9296403723921369,
      0.9138013469194695,
      0.8982642076892939,
      0.8830212629077864,
      0.86806509705544,
      0.8533885586957951,
      0.8389847488869275,
      0.8248470106464364,
      0.8109689957984667,
      0.7973449950234788,
      0.7839695269028306,
      0.7708371133687163,
      0.7579423413125721,
      0.7452798995252522,
      0.7328445990362218,
      0.7206313849922157,
      0.7086353414215165,
      0.6968516923463028,
      0.6852757999430384,
      0.6739031620412766,
      0.6627294085483528,
      0.6517502969141917,
      0.6409617079143244,
      0.6303596410661744,
      0.6199402029886574,
      0.6096995561304573,
      0.5996339606667095,
      0.5897398067828713,
      0.5800136006150299,
      0.5704519545830545,
      0.5610515793025525,
      0.551809277527231,
      0.5427219393265631,
      0.5337865377827111,
      0.5250001255095085,
      0.5163598311996409,
      0.5078628566537491,
      0.49950647392937536,
      0.49128808079002545,
      0.4832058017568843,
      0.4752579955905374,
      0.4674427219192887,
      0.459757872058434,
      0.4522012502799066,
      0.4447706247504433,
      0.4374637597490178,
      0.43027843521684006,
      0.42321245921966394,
      0.41626367480520055,
      0.40942996444990404,
      0.40270925161626686,
      0.3960996472754684,
      0.3895995131172233,
      0.3832071504274285,
      0.376920796242952,
      0.3707386612707296,
      0.3646589534118041,
      0.3586798925047309,
      0.35279971908407565,
      0.34701670004585505,
      0.34132916657159484,
      0.33573560760862875,
      0.3302345181770407,
      0.32482436862417435,
      0.31950362511922903,
      0.3142707621876619,
      0.30912427064683534,
      0.3040626650600108,
      0.29908451069035613,
      0.2941884044099032,
      0.28937295414504965,
      0.28463675795898113,
      0.2799782358848539,
      0.27539579993945884,
      0.27088798694487065,
      0.2664534219730531,
      0.26209079532301527,
      0.25779884714843354,
      0.2535763573044235,
      0.24942213885171302,
      0.2453350440217282,
      0.24131428846259612,
      0.23735924779389936,
      0.2334691273933563,
      0.2296430309775695,
      0.2258800035924642,
      0.22217905924838627,
      0.21853919853462894,
      0.21495942007270735,
      0.21143872778713682,
      0.2079761351551116,
      0.20457066809459418,
      0.20122136675766278,
      0.19792724593581829,
      0.19468726038925482,
      0.19150041021021758,
      0.18836574649380672,
      0.1852823586216134,
      0.1822493659526929,
      0.17926591232646077,
      0.17633116241679098,
      0.17344429952373297,
      0.17060452354285324,
      0.16781104993185755,
      0.1650631088260538,
      0.16235994444007065,
      0.1597007398175137,
      0.15708459600664187,
      0.1545106749666186,
      0.15197819973062068,
      0.14948643711755308,
      0.14703468646985324,
      0.14462227215447265,
      0.1422485384637018,
      0.13991284671831758,
      0.13761457253371118,
      0.13535310449212876,
      0.13312784298220579,
      0.13093819959014538,
      0.12878359633421227,
      0.12666346556748825,
      0.12457724920598257,
      0.122524398788084,
      0.12050437509934198,
      0.11851664785165185,
      0.11656069581638666,
      0.1146360063504259,
      0.11274207517208777,
      0.11087840657717549,
      0.10904451302772492,
      0.10723991488809127,
      0.10546414060663625,
      0.10371672636428277,
      0.10199721597138998,
      0.1003051606373576,
      0.09864011895556597,
      0.09700165672889226,
      0.09538934700400804,
      0.09380276983755535,
      0.0922415120804404,
      0.090705167197447,
      0.08919333552357142,
      0.08770562384415943,
      0.08624164525203903,
      0.08480101923657936,
      0.08338337155345574,
      0.08198833383634276,
      0.08061554383091067,
      0.07926464514101841,
      0.07793528719009515,
      0.07662712503778472,
      0.0753398192770892,
      0.07407303616476331,
      0.07282644738048395,
      0.07159972976458576,
      0.07039256541757762,
      0.06920464163463352,
      0.06803565061711597,
      0.06688528978396058,
      0.06575326124656382,
      0.06463927197224184,
      0.06354303361837539,
      0.062464262578254,
      0.06140267978309488,
      0.06035801073456268,
      0.05932998514332916,
      0.05831833720390662,
      0.05732280540870166,
      0.056343132368770685,
      0.055379064942390865,
      0.05443035404240678,
      0.053496754471580296,
      0.05257802504602006,
      0.051673928513916556,
      0.05078423123493197,
      0.04990870356038214,
      0.049047119435733685,
      0.04819925640560673,
      0.0473648956508504,
      0.046543821721613705,
      0.04573582270914714,
      0.04494069017359455,
      0.04415821886874065,
      0.04338820684757757,
      0.04263045543105027,
      0.041884769218054375,
      0.041150955792816996,
      0.04042882585725272,
      0.039718193286253985,
      0.03901887488316784,
      0.03833069025181022,
      0.0376534619364667,
      0.03698701527752842,
      0.03633117845924019,
      0.03568578247266022,
      0.03505066095625986,
      0.03442565020216482,
      0.03381058902637748,
      0.03320531896704527,
      0.032609683983901475,
      0.03202353049809148,
      0.03144670752409051,
      0.030879066417268664,
      0.030320460916822115,
      0.029770747166067736,
      0.029229783474578424,
      0.02869743062361408,
      0.028173551423563415,
      0.027658010877661596,
      0.027150676194808772,
      0.026651416620209575,
      0.026160103471216122,
      0.025676610301862152,
      0.02520081261831788,
      0.02473258787521858,
      0.02427181543523773,
      0.023818376656970543,
      0.02337215469103669,
      0.02293303469739389,
      0.022500903573827308,
      0.022075650117565303,
      0.02165716481576861,
      0.02124533988262379,
      0.020840069142602977,
      0.020441248360748846,
      0.020048774878656393,
      0.0196625476833438,
      0.019282467253230455,
      0.01890843567076155,
      0.018540356696989176,
      0.018178135629734537,
      0.017821679167822766,
      0.017470895516371283,
      0.01712569444039617,
      0.01678598709582393,
      0.01645168602467524,
      0.01612270514941996,
      0.015798959779181946,
      0.015480366570267976,
      0.015166843530374152,
      0.014858309957684723,
      0.014554686449171543,
      0.014255894830849493,
      0.013961858143947336,
      0.013672500743882307,
      0.013387748162728717,
      0.013107527084228781,
      0.012831765393492376,
      0.012560392059562052,
      0.012293337295857429,
      0.012030532330808866,
      0.011771909532686694,
      0.011517402366809633,
      0.011266945389203963,
      0.011020474091469789,
      0.01077792501051991,
      0.01053923568302616,
      0.010304344731188065,
      0.010073191698345817,
      0.009845717072661832,
      0.009621862244237292,
      0.0094015697460459,
      0.009184782888494825,
      0.00897144582329963,
      0.00876150375703184,
      0.008554902576696537,
      0.00835158912122991,
      0.008151511119081948,
      0.007954617014875138,
      0.007760856085258147,
      0.007570178602385354,
      0.007382535428655675,
      0.00719787828860855,
      0.007016159662001501,
      0.006837332769044854,
      0.0066613515204250635,
      0.006488170667272818,
      0.006317745687033504,
      0.0061500326215369,
      0.005984988407139403,
      0.005822570559214426,
      0.005662737323529271,
      0.005505447525170916,
      0.005350660667602827,
      0.0051983369392411905,
      0.005048437127040107,
      0.0049009226918251105,
      0.004755755572132194,
      0.004612898461318563,
      0.004472314680092586,
      0.004333968108910034,
      0.004197823046070144,
      0.004063844474775467,
      0.003931997932110608,
      0.003802249341922064,
      0.0036745654854383612,
      0.0035489134762661826,
      0.003425261000494906,
      0.003303576221459933,
      0.0031838278774064302,
      0.0030659850889902898,
      0.0029500174668733213,
      0.002835895093904144,
      0.0027235887138917472,
      0.002613069527189719,
      0.002504309090423544,
      0.002397279293851404,
      0.0022919526390159295,
      0.0021883021499158025,
      0.0020863010635394424,
      0.0019859231256853017,
      0.0018871424430838392,
      0.0017899336300949145,
      0.0016942717025098242,
      0.0016001320114355068,
      0.0015074903436191312,
      0.0014163229409760354,
      0.001326606369045714,
      0.001238317501304304,
      0.0011514335240417409,
      0.0010659320628096365,
      0.000981791158306754,
      0.0008989891419336035,
      0.0008175048053326136,
      0.000737317126127143,
      0.0006584054717204274,
      0.0005807494737674984,
      0.0005043291517538956,
      0.0004291249235744479,
      0.0003551174141400071,
      0.0002822874748587398,
      0.00021061643915013797,
      0.00014008603017445147,
      7.067791992678561e-05,
      2.374255456169945e-06,
      -6.484251954585899e-05,
      -0.00013098963821088743,
      -0.00019608403349953435,
      -0.00026014265292178965,
      -0.00032318191426737814,
      -0.000385218069106628,
      -0.00044626695486292724,
      -0.0005063443751756293,
      -0.0005654658055161399,
      -0.0006236464032202963,
      -0.0006809011749845286,
      -0.0007372449086893061,
      -0.0007926920405379665,
      -0.0008472567818292795,
      -0.0009009531936663461,
      -0.0009537952041030674,
      -0.001005796319345195,
      -0.0010569700074707434,
      -0.0011073294459828182,
      -0.0011568874972162574,
      -0.0012056569369968265,
      -0.0012536502566870113,
      -0.0013008798139310098,
      -0.0013473578050074196,
      -0.0013930962426006567,
      -0.0014381068375571462,
      -0.00148240131858781,
      -0.001525990930882419,
      -0.00156888690691966,
      -0.0016111002812079864,
      -0.001652641882844951,
      -0.0016935224289621317,
      -0.0017337524076830985,
      -0.0017733422084622755,
      -0.0018123020036879822,
      -0.0018506419096917164,
      -0.0018883716572732048,
      -0.0019255009800079853,
      -0.001962039531408298,
      -0.0019979967130660343,
      -0.0020333817114591333,
      -0.0020682035530494784,
      -0.002102471209852446,
      -0.00213619359644121,
      -0.002169379401253655,
      -0.002202037133583488,
      -0.002234175252405415,
      -0.002265801964058749,
      -0.0022969253756309513,
      -0.002327553475528816
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334826104216322,
      10.09387660075654,
      9.846765522825674,
      9.596278525092002,
      9.34485740943496,
      9.09461421907948,
      8.847304908225631,
      8.604319388059285,
      8.366688102590516,
      8.135094209442235,
      7.909904802421674,
      7.691215858955189,
      7.478903015487508,
      7.272673843136584,
      7.072118054637576,
      6.876753651004471,
      6.68606685652667,
      6.499543855381828,
      6.316697334256904,
      6.137084788910916,
      5.960319763445102,
      5.786071014087396,
      5.6140732704169265,
      5.444145140968391,
      5.276186191250939,
      5.110167829902158,
      4.946131222084584,
      4.784197010280509,
      4.6245797351713405,
      4.467580168891634,
      4.313532978952056,
      4.1627986360227,
      4.015758974664819,
      3.8728060572320833,
      3.7343157746914617,
      3.6006313362055646,
      3.4720532740100585,
      3.3488320207056055,
      3.2311629673031,
      3.1191839997899873,
      3.0129678132117617,
      2.912513740885119,
      2.8177488866492673,
      2.728515922062134,
      2.64459872399078,
      2.5657539839589094,
      2.491730376659034,
      2.422268804624054,
      2.357100281736598,
      2.295944809961966,
      2.238495759800719,
      2.1843786195415564,
      2.1332343492373633,
      2.084724522409731,
      2.038529603294364,
      1.9943594078035791,
      1.951980087474981,
      1.9111993382798775,
      1.871859044818516,
      1.8338323533808154,
      1.797011981669672,
      1.7613015123687927,
      1.7266212331820465,
      1.6929056760615526,
      1.6600997231801544,
      1.6281558947557604,
      1.5970324531838704,
      1.5666920694871165,
      1.5371008810616793,
      1.5082278189177718,
      1.4800442752967007,
      1.452524264920803,
      1.425642144418816,
      1.3993746808900989,
      1.373702255613098,
      1.348608983055346,
      1.3240787771391576,
      1.300095143906871,
      1.2766415884677018,
      1.2537018693025703,
      1.231260149358473,
      1.2093010843257106,
      1.1878098676301365,
      1.1667722488512824,
      1.146174569868,
      1.1260046491222293,
      1.1062512383538423,
      1.086903564393935,
      1.067951152824377,
      1.0493835125754842,
      1.031190289009852,
      1.0133613533174572,
      0.9958868552671137,
      0.978757251178493,
      0.9619633161907803,
      0.9454961462548737,
      0.9293471539252615,
      0.9135080604762703,
      0.897970886033703,
      0.8827279384287489,
      0.8677718015669752,
      0.8530953232777607,
      0.8386916043768842,
      0.8245539878169607,
      0.8106762027927721,
      0.7970526171483893,
      0.7836776900196158,
      0.7705459055972914,
      0.757651826427618,
      0.7449901249379403,
      0.732555601714257,
      0.7203431951288335,
      0.7083479846518731,
      0.6965651911786166,
      0.6849901749678585,
      0.6736184325665899,
      0.6624455927378802,
      0.6514674121175741,
      0.6406797707567687,
      0.6300786677055351,
      0.6196602088036615,
      0.6094205553464299,
      0.5993559673442185,
      0.5894628347800308,
      0.5797376640000764,
      0.5701770670473383,
      0.560777754303874,
      0.5515365283232017,
      0.5424502787716876,
      0.5335159785760528,
      0.5247306799516649,
      0.5160915111206832,
      0.5075956733842464,
      0.4992404387473851,
      0.49102324917997003,
      0.4829422884599899,
      0.474995874291026,
      0.46718204053330936,
      0.4594986620398392,
      0.45194353232928086,
      0.44451441262492974,
      0.4372090626945554,
      0.4300252596168811,
      0.4229608093894451,
      0.4160135537229939,
      0.40918137399552956,
      0.4024621931067448,
      0.395854145884467,
      0.3893555944402729,
      0.3829648297239729,
      0.37668008241423334,
      0.3704995587500985,
      0.36442146385774554,
      0.3584440156147613,
      0.35256545336039474,
      0.34678404318366896,
      0.3410981216535557,
      0.3355061836221574,
      0.33000671906990553,
      0.32459819496179143,
      0.31927907524208565,
      0.314047833014474,
      0.30890295820234853,
      0.30384296560698126,
      0.29886642140380076,
      0.2939719211624101,
      0.28915807189396153,
      0.2844234729969617,
      0.2797665467090616,
      0.2751857032518862,
      0.2706794782379948,
      0.2662464960954698,
      0.26188544648110224,
      0.25759506914563396,
      0.25337414366274047,
      0.24922148291749122,
      0.24513594564357302,
      0.2411167563121721,
      0.2371632843442398,
      0.23327473114153488,
      0.22945019780902054,
      0.22568872762539743,
      0.22198933345371089,
      0.21835101521074274,
      0.21477277103629724,
      0.2112536043829647,
      0.20779252854281546,
      0.2043885693299078,
      0.20104076657985573,
      0.19774813060921204,
      0.19450961603771438,
      0.19132422464235033,
      0.18819100854138404,
      0.1851090577610001,
      0.1820774920548713,
      0.17909545557337614,
      0.17616211323067257,
      0.1732766482931313,
      0.17043826069128623,
      0.16764616585219386,
      0.16489959404981472,
      0.1621977893800166,
      0.15954000546643748,
      0.15692539401117883,
      0.15435307302982518,
      0.15182223699111203,
      0.14933213403836884,
      0.14688205125820925,
      0.14447130502875466,
      0.14209923461034915,
      0.13976519773426296,
      0.13746856784190126,
      0.1352087320866568,
      0.13298508997643602,
      0.1307970525004321,
      0.1286440414626813,
      0.12652548886817608,
      0.12444083650568268,
      0.12238953594282156,
      0.12037104792762877,
      0.11838484227102393,
      0.1164303977318858,
      0.1145072016827944,
      0.11261475000651275,
      0.11075254703233017,
      0.1089201053029461,
      0.10711694529798386,
      0.10534259541839854,
      0.10359659184494258,
      0.10187847854253562,
      0.1001878068969195,
      0.09852413559175262,
      0.0968870305997706,
      0.09527606497588158,
      0.09369081874416357,
      0.09213087887220478,
      0.09059583900235291,
      0.08908529945403769,
      0.08759886711542499,
      0.08613615520860131,
      0.08469678322932853,
      0.08328037696325989,
      0.08188656823088285,
      0.080514994956929,
      0.07916530077392953,
      0.07783713524788344,
      0.07653015344042383,
      0.0752440161211923,
      0.07397838960582957,
      0.07273294550585316,
      0.07150736079689264,
      0.07030131771206441,
      0.06911450355890046,
      0.06794661077122653,
      0.06679733662669524,
      0.06566638347496863,
      0.06455345840232661,
      0.06345827319050718,
      0.06238054433425329,
      0.06131999285034968,
      0.06027634418591324,
      0.05924932812714185,
      0.05823867905553775,
      0.05724413554608729,
      0.056265440306062564,
      0.05530234023721437,
      0.054354586239958674,
      0.05342193334135682,
      0.05250414045973094,
      0.051600970403613874,
      0.05071218970395743,
      0.04983756866050787,
      0.04897688135826495,
      0.04812990539888662,
      0.0472964219286762,
      0.0464762156895117,
      0.04566907487646833,
      0.044874791050146225,
      0.04409315908071015,
      0.043323977171243463,
      0.04256704685903361,
      0.04182217269221183,
      0.04108916237284661,
      0.040367826762416244,
      0.03965797961311589,
      0.03895943777485197,
      0.03827202095881682,
      0.03759555179878924,
      0.03692985584376585,
      0.036274761348655704,
      0.035630099253710676,
      0.034995703279184914,
      0.03437140982378442,
      0.033757057835270436,
      0.033152488837328756,
      0.032557546998272784,
      0.031972078815140276,
      0.0313959333414475,
      0.03082896205573223,
      0.03027101883491936,
      0.02972195975889009,
      0.02918164324150964,
      0.02864992999260495,
      0.028126682893451556,
      0.0276117671797176,
      0.027105050117915582,
      0.02660640105288792,
      0.02611569142458554,
      0.0256327947617659,
      0.025157586651205797,
      0.024689944499401532,
      0.024229747873678594,
      0.023776878183224548,
      0.023331218647684518,
      0.022892654552843276,
      0.02246107278210513,
      0.02203636207375252,
      0.021618413078155034,
      0.021207118134842367,
      0.02080237130894962,
      0.020404068206757796,
      0.020012106254345522,
      0.019626384492533594,
      0.019246803525112037,
      0.018873265606592624,
      0.018505674392759262,
      0.01814393524405269,
      0.017787954943584837,
      0.017437641859931952,
      0.017092905702486994,
      0.016753657581288287,
      0.016419810281781615,
      0.016091277751343967,
      0.01576797534094416,
      0.01544981971485044,
      0.015136728912151053,
      0.014828622292490178,
      0.014525420563440942,
      0.014227045571435308,
      0.0139334204914139,
      0.013644469665837926,
      0.013360118663873606,
      0.013080294237654508,
      0.012804924461455546,
      0.012533938379409902,
      0.012267266134426663,
      0.012004839126856412,
      0.011746589707125207,
      0.011492451330299398,
      0.011242358575012035,
      0.010996246969328763,
      0.010754053138759188,
      0.010515714761222717,
      0.010281170430728119,
      0.010050359753460702,
      0.00982322327630901,
      0.0095997025335473,
      0.009379739887393962,
      0.009163278760011653,
      0.008950263392182545,
      0.00874063890454026,
      0.008534351400322573,
      0.008331347760239222,
      0.008131575694821319,
      0.007934983710916773,
      0.007741521177037364,
      0.007551138321634847,
      0.00736378603155093,
      0.007179416148994874,
      0.006997981142658486,
      0.006819434322082165,
      0.006643729622321356,
      0.006470821894096368,
      0.0063006666311638745,
      0.0061332199546159415,
      0.005968438835031536,
      0.005806280783735528,
      0.0056467040550719095,
      0.005489667526908743,
      0.005335130768270785,
      0.005183053963456602,
      0.005033397895479016,
      0.00488612412959298,
      0.004741194735000602,
      0.004598572301435494,
      0.004458220129449755,
      0.004320102156287767,
      0.004184182846214581,
      0.0040504271336595935,
      0.003918800654487326,
      0.0037892694332280967,
      0.0036618001056867543,
      0.0035363599598114965,
      0.003412916546489692,
      0.0032914380865065383,
      0.0031718933839031435,
      0.003054251601857051,
      0.002938482478462901,
      0.002824556227106985,
      0.002712443471005223,
      0.00260211536917485,
      0.002493543509695595,
      0.0023866999696416443,
      0.0022815572184339173,
      0.0021780880924078348,
      0.0020762660444879066,
      0.0019760649189831695,
      0.001877458817088353,
      0.00178042237697183,
      0.0016849305214908777,
      0.001590958722470066,
      0.0014984827896477137,
      0.0014074789412399553,
      0.001317923608850212,
      0.0012297939047315586,
      0.0011430671437383504,
      0.0010577209134599507,
      0.0009737331834195011,
      0.0008910823648882619,
      0.0008097471305325236,
      0.0007297065471940225,
      0.0006509401272763058,
      0.0005734275445822521,
      0.0004971488091164191,
      0.00042208421401708734,
      0.0003482145444660232,
      0.00027552077320419703,
      0.000203984144831725,
      0.0001335861912842483,
      6.430890742851928e-05,
      -3.865599590779077e-06,
      -7.095486866774373e-05,
      -0.00013697621116369005,
      -0.00020194657518705252,
      -0.0002658827457762805,
      -0.0003288011816804885,
      -0.0003907180734127042,
      -0.00045164938184233313,
      -0.0005116108052075259,
      -0.0005706177770960046,
      -0.0006286854125120486,
      -0.0006858286627052545,
      -0.0007420622657997937,
      -0.0007974007091365383,
      -0.0008518581970240525,
      -0.0009054488020863879,
      -0.0009581863996219723,
      -0.0010100845120495782,
      -0.0010611565592362265,
      -0.0011114157140229765,
      -0.0011608747630848328,
      -0.0012095464052999964,
      -0.0012574433333148915,
      -0.0013045778506846795,
      -0.0013509619777653428,
      -0.001396607829429135,
      -0.0014415271983706116,
      -0.001485731614101773,
      -0.001529232330969619,
      -0.001572040493119129,
      -0.0016141672355866404,
      -0.0016556234545550266,
      -0.001696419697274605,
      -0.001736566534377091,
      -0.0017760743405352767,
      -0.001814953208046895,
      -0.00185321325989897,
      -0.0018908642822967983,
      -0.0019279159414964915,
      -0.00196437778327434,
      -0.002000259213382444,
      -0.0020355694007488426,
      -0.0020703174662102105,
      -0.002104512461153749,
      -0.002138163161124778,
      -0.0021712782339251887,
      -0.0022038661720471388,
      -0.00223593534488041,
      -0.002267494025225766,
      -0.002298550351904987,
      -0.002329112348959332
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334822441269981,
      10.093863912670454,
      9.846737845073442,
      9.596231195948153,
      9.34478719207788,
      9.094518964521079,
      8.84718331172977,
      8.60417085883234,
      8.366512640912637,
      8.13489206553229,
      7.90967635596352,
      7.690961530391474,
      7.478623208864913,
      7.272368917853927,
      7.071788321595406,
      6.876399361704911,
      6.6856882449397474,
      6.499141186401391,
      6.316270943295464,
      6.136635168429578,
      5.959847613324022,
      5.785577281227407,
      5.613559121455784,
      5.44361202319876,
      5.275635860022618,
      5.109602130727198,
      4.945552192835642,
      4.783606953376185,
      4.623981815128244,
      4.466977926202027,
      4.312929930280399,
      4.162198303812478,
      4.015164976438407,
      3.8722219022418014,
      3.733744716974846,
      3.600076325398655,
      3.4715169099101377,
      3.348316518839283,
      3.230670137891796,
      3.1187152404611886,
      3.0125239604151353,
      2.912095133911878,
      2.8173552657357654,
      2.7281463304689044,
      2.644251647170223,
      2.565427726549143,
      2.4914231403885094,
      2.4219787094757024,
      2.3568254028355042,
      2.295683135737465,
      2.2382450730489047,
      2.1841364427119005,
      2.13299855035163,
      2.084493098411993,
      2.0383007011147796,
      1.9941315428247797,
      1.9517521037846879,
      1.9109702833600357,
      1.8716282451904855,
      1.833599331991569,
      1.7967763318254775,
      1.7610629228373251,
      1.7263795115164462,
      1.692660711780509,
      1.659851463413876,
      1.6279043265667597,
      1.5967775908180792,
      1.5664339461191175,
      1.5368395423507832,
      1.5079633186864905,
      1.4797766832524506,
      1.4522536692349923,
      1.4253687785156195,
      1.3990988262047377,
      1.3734243356179543,
      1.3483293834188328,
      1.3237977650805202,
      1.2998129088621455,
      1.2763582688628878,
      1.2534175695000813,
      1.230974951455163,
      1.209015055820529,
      1.187523066132064,
      1.1664847253549004,
      1.1458863812781444,
      1.1257158637739813,
      1.1059619191104684,
      1.0866137741297819,
      1.067660945252293,
      1.049092935269269,
      1.0308993846307732,
      1.0130701613351805,
      0.9955954136174318,
      0.9784655965882094,
      0.961671484085395,
      0.9452041711647594,
      0.9290550694744494,
      0.9132158999716135,
      0.8976786823832335,
      0.882435723898171,
      0.8674796078313309,
      0.8528031818703791,
      0.838399546569299,
      0.8242620441336846,
      0.8103845334775989,
      0.7967613883639091,
      0.783387015887955,
      0.7702558661708742,
      0.757362479713656,
      0.7447015148886783,
      0.7322677634742445,
      0.7200561576290296,
      0.7080617726933786,
      0.6962798267837096,
      0.6847056784588387,
      0.6733348229181206,
      0.6621628879426249,
      0.6511856296665595,
      0.6403989274736531,
      0.6297987797485487,
      0.6193812915810345,
      0.6091426229122261,
      0.5990790338177442,
      0.5891869145870527,
      0.5794627712172261,
      0.5699032157051499,
      0.5605049582242836,
      0.5512648008226215,
      0.5421796327626748,
      0.5332464266613751,
      0.5244622343837915,
      0.5158241837537345,
      0.5073294756698717,
      0.4989753817744323,
      0.49075938805904107,
      0.4826797379824149,
      0.47473470828372943,
      0.46692230696940773,
      0.4592403922935777,
      0.45168674708739615,
      0.444259125771866,
      0.43695528349016094,
      0.4297729943701678,
      0.42271006240447595,
      0.4157643279787557,
      0.4089336715111393,
      0.4022160154008432,
      0.3956095181654633,
      0.3891125420951332,
      0.38272336811892765,
      0.37644022015992695,
      0.37026130040483923,
      0.36418481118765034,
      0.35820896858605067,
      0.35233201082892307,
      0.34655220301756084,
      0.34086789133077305,
      0.33527757045468903,
      0.32977972598696687,
      0.3243728220092675,
      0.319055320406737,
      0.31382569306348324,
      0.30868242896854164,
      0.3036240433616551,
      0.2986491033652064,
      0.293756203179271,
      0.2889439490741964,
      0.284210941691523,
      0.27955560535542695,
      0.2749763485647854,
      0.27047170588388025,
      0.26604030090228614,
      0.2616808227324906,
      0.2573920106803965,
      0.2531726440849977,
      0.24902153570322655,
      0.24493755050003302,
      0.2409199216892617,
      0.23696801258996145,
      0.23308102069827738,
      0.22925804452679316,
      0.22549812572034483,
      0.22180027603955466,
      0.21816349468454743,
      0.2145867792187711,
      0.21106913269350203,
      0.20760956819739904,
      0.20420711119360624,
      0.2008608015513096,
      0.197569645220501,
      0.19433259645923548,
      0.19114865861002367,
      0.18801688483459453,
      0.18493636597635635,
      0.18190622226750885,
      0.17892559803773242,
      0.17599365820821194,
      0.1731095861976844,
      0.17027258197920517,
      0.16748186116081196,
      0.16473665389649153,
      0.1620362043502847,
      0.15937977022854122,
      0.15676659429114334,
      0.15419581003610966,
      0.15166657174211717,
      0.1491781013780646,
      0.1467296689072057,
      0.144320579325259,
      0.14195016455308285,
      0.13961777763529604,
      0.13732278884788424,
      0.13506458331208027,
      0.13284255931715047,
      0.13065612697742074,
      0.1285047075813802,
      0.12638773279710547,
      0.12430464439357566,
      0.12225489372614856,
      0.12023794145528026,
      0.11825325749810511,
      0.1163003205956943,
      0.11437861804823289,
      0.11248764580193586,
      0.11062690830889396,
      0.10879591823067157,
      0.10699419611731643,
      0.10522127043022728,
      0.10347667749566504,
      0.1017599612171628,
      0.10007067309322619,
      0.09840837194851641,
      0.09677262383609969,
      0.09516300190706242,
      0.09357908625315903,
      0.0920204638814731,
      0.09048672859172133,
      0.08897748076906443,
      0.08749232740963325,
      0.08603088180311216,
      0.08459276362861566,
      0.0831775986149545,
      0.08178501865795858,
      0.0804146617335527,
      0.079066171540008,
      0.07773919770426538,
      0.07643339556096874,
      0.07514842589475815,
      0.07388395508049214,
      0.07263965482372715,
      0.07141520221963792,
      0.07021027949083183,
      0.06902457415421955,
      0.06785777879679548,
      0.06670959073962705,
      0.06557971239020308,
      0.06446785082121044,
      0.06337371799995066,
      0.06229703038948705,
      0.061237509069279175,
      0.06019487970741581,
      0.05916887232389907,
      0.05815922125151209,
      0.05716566510963211,
      0.05618794670792016,
      0.05522581301962858,
      0.05427901516451491,
      0.05334730811735591,
      0.05243045092118935,
      0.051528206444804804,
      0.05064034121183211,
      0.04976662567959133,
      0.04890683400122831,
      0.04806074392311095,
      0.047228136800558276,
      0.04640879734400298,
      0.04560251381393786,
      0.04480907780281992,
      0.0440282843795985,
      0.04325993177371929,
      0.04250382151941086,
      0.04175975830086675,
      0.04102755000043997,
      0.040307007405887725,
      0.03959794442160351,
      0.03890017801853715,
      0.03821352800470961,
      0.03753781706118998,
      0.036872870744581135,
      0.036218517459145734,
      0.03557458829991647,
      0.03494091703963256,
      0.03431734012308052,
      0.03370369655691893,
      0.03309982791124671,
      0.032505578388327704,
      0.03192079464694873,
      0.031345325859020785,
      0.030779023546671797,
      0.0302217415687127,
      0.029673336083827658,
      0.029133665694866227,
      0.0286025911506431,
      0.02807997551436585,
      0.02756568388891975,
      0.027059583583033467,
      0.026561544126758777,
      0.026071437060169712,
      0.02558913594630785,
      0.02511451648085655,
      0.02464745622856228,
      0.02418783464029609,
      0.02373553314123797,
      0.02329043519494422,
      0.022852426031198192,
      0.022421392737987444,
      0.021997224156625157,
      0.021579810901072524,
      0.021169045383079493,
      0.02076482168983659,
      0.020367035495177353,
      0.019975584331825582,
      0.019590367291491214,
      0.01921128507522248,
      0.01883823991593152,
      0.018471135659719765,
      0.0181098776182635,
      0.01775437268121242,
      0.017404529205757538,
      0.01706025696914535,
      0.016721467247779093,
      0.016388072762003533,
      0.016059987607572702,
      0.015737127141598254,
      0.015419408165975802,
      0.015106748773025607,
      0.014799068355069922,
      0.01449628766380674,
      0.014198328645872267,
      0.013905114473953232,
      0.01361656955089216,
      0.013332619658499497,
      0.013053191545537354,
      0.012778213124153382,
      0.012507613530457989,
      0.012241323082052866,
      0.011979273087436506,
      0.011721396104640968,
      0.01146762565739819,
      0.011217896298999884,
      0.010972143686184606,
      0.010730304454147964,
      0.010492316362245131,
      0.010258118056199398,
      0.010027649139097403,
      0.009800850157171219,
      0.009577662646358924,
      0.009358029233722719,
      0.009141893265955554,
      0.008929199026195137,
      0.008719891674279322,
      0.008513917298806207,
      0.00831122289640411,
      0.008111756157458787,
      0.007915465725143305,
      0.007722300987563519,
      0.007532212159082934,
      0.007345150326507782,
      0.00716106725093228,
      0.006979915388317347,
      0.006801648199050856,
      0.006626219780934145,
      0.006453584784261582,
      0.006283698717420887,
      0.006116517905971608,
      0.005951999257363242,
      0.005790100359204974,
      0.0056307794590394,
      0.005473995503868214,
      0.0053197080618966565,
      0.00516787746288195,
      0.005018464546848616,
      0.004871430828456563,
      0.004726738460572768,
      0.004584350111093208,
      0.004444229096218273,
      0.0043063393255632606,
      0.0041706453132309374,
      0.004037112044798456,
      0.0039057050881314815,
      0.0037763906424548607,
      0.003649135373965037,
      0.0035239064377863313,
      0.0034006715841847614,
      0.0032793991148056395,
      0.003160057713780528,
      0.0030426166045026287,
      0.0029270455050350685,
      0.0028133147064780045,
      0.0027013948996202474,
      0.00259125725672962,
      0.0024828733946107855,
      0.002376215403397486,
      0.002271255717692476,
      0.0021679673582207723,
      0.0020663237750878426,
      0.0019662988007371623,
      0.0018678666490977848,
      0.001771001865137471,
      0.0016756794987067057,
      0.0015818750126903474,
      0.001489564237592925,
      0.0013987233530934093,
      0.0013093289534722389,
      0.001221357987556553,
      0.0011347877828022813,
      0.0010495960707808945,
      0.0009657609377668141,
      0.0008832607261995357,
      0.0008020741975203358,
      0.0007221804807451402,
      0.0006435589587749011,
      0.000566189429011889,
      0.0004900518715277044,
      0.00041512673930869134,
      0.0003413946780655878,
      0.00026883662828806735,
      0.0001974339667423477,
      0.00012716829965329993,
      5.802153054188209e-05,
      -1.002415993000763e-05,
      -7.698642200522057e-05,
      -0.00014288240558376708,
      -0.00020772911370041608,
      -0.0002715432083467816,
      -0.0003343411205863697,
      -0.000396139134136226,
      -0.00045695313107470585,
      -0.0005167987625277201,
      -0.0005756914463417905,
      -0.0006336464149560065,
      -0.0006906785208239475,
      -0.0007468024665224443,
      -0.0008020327349590071,
      -0.0008563835002115367,
      -0.0009098688866574427,
      -0.0009625025408816324,
      -0.0010142980543258993,
      -0.001065268768473511,
      -0.0011154277763578148,
      -0.0011647880695813708,
      -0.0012133623535540443,
      -0.001261163218601008,
      -0.0013082029920015292,
      -0.001354493601977239,
      -0.0014000471334583429,
      -0.0014448753092181626,
      -0.0014889896823807945,
      -0.0015324016436109584,
      -0.0015751223066408809,
      -0.001617162685623662,
      -0.001658533655711125,
      -0.0016992458111654077,
      -0.001739309761432465,
      -0.0017787357657906326,
      -0.0018175339069861779,
      -0.0018557142455015254,
      -0.0018932865600344098,
      -0.001930260563974279,
      -0.0019666457908653913,
      -0.002002451612790846,
      -0.002037687302662887,
      -0.0020723619050459705,
      -0.0021064844373727956,
      -0.0021400636323977433,
      -0.0021731081126121396,
      -0.0022056264239861327,
      -0.0022376269488861176,
      -0.0022691179323540305,
      -0.00230010744457719,
      -0.002330603514566199
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33481878432378,
      10.09385123398143,
      9.846710186641753,
      9.596183907292403,
      9.344717045889343,
      9.094423820992604,
      8.847061870359681,
      8.604022532918899,
      8.366337434890978,
      8.134690231575977,
      7.909448273273409,
      7.690707617888013,
      7.478343870412574,
      7.272064514338133,
      7.071459165070348,
      6.876045705043091,
      6.685310324659354,
      6.498739267940799,
      6.315845361599362,
      6.136186416151741,
      5.959376390464997,
      5.785084533624361,
      5.613046015723785,
      5.443080005434469,
      5.275086684035334,
      5.109037641726848,
      4.944974427097935,
      4.783018259270328,
      4.62338539602634,
      4.466377305857009,
      4.31232860940984,
      4.161599789390337,
      4.014572870338761,
      3.8716396983157297,
      3.7331756545920074,
      3.599523339777491,
      3.470982586742394,
      3.3478030600466764,
      3.2301793419080043,
      3.1182484956404735,
      3.0120820931614976,
      2.9116784734640584,
      2.81696354332166,
      2.7277785835243327,
      2.643906357563098,
      2.5651031959903965,
      2.4911175704456876,
      2.421690220984709,
      2.3565520732613927,
      2.2954229557249675,
      2.237995826905608,
      2.1838956564533234,
      2.1327640963331964,
      2.084262977458215,
      2.0380730652787618,
      1.993904912923077,
      1.9515253315950063,
      1.9107424211222062,
      1.8713986215355323,
      1.8333674710209098,
      1.7965418176777266,
      1.7608254477979581,
      1.7261388856017692,
      1.692416827177006,
      1.6596042686396235,
      1.627653809598019,
      1.5965237668928718,
      1.5661768491200352,
      1.5365792188128191,
      1.5076998230631156,
      1.479510085632143,
      1.4519840584242458,
      1.4250964168519906,
      1.398823986197396,
      1.373147434971992,
      1.3480508024921392,
      1.3235177681662131,
      1.299531683323708,
      1.2760759515466544,
      1.2531342637782104,
      1.230690738967991,
      1.2087300034278818,
      1.187237231227719,
      1.1661981590868977,
      1.1455991410193787,
      1.1254280185888614,
      1.1056735322403677,
      1.0863249088298592,
      1.0673716550572376,
      1.0488032677247505,
      1.0306093828225995,
      1.0127798653032918,
      0.995304860943796,
      0.9781748236344703,
      0.961380526457304,
      0.9449130634040526,
      0.9287638456053638,
      0.912924593325412,
      0.8973873259220179,
      0.8821443503255995,
      0.8671882492875045,
      0.8525118699219967,
      0.8381083124954921,
      0.8239709312567248,
      0.8100937079796684,
      0.796471009291899,
      0.7830971928189818,
      0.7699666767118606,
      0.7570739806285484,
      0.7444137495240225,
      0.7319807662153555,
      0.7197699569225977,
      0.7077763932566665,
      0.6959952906483379,
      0.6844220058454168,
      0.6730520326385984,
      0.6618809980688538,
      0.6509046574503866,
      0.6401188895866751,
      0.6295196924861326,
      0.6191031701924044,
      0.6088654815032567,
      0.5988028866935993,
      0.588911776009811,
      0.5791886554610722,
      0.5696301366974564,
      0.5602329293826603,
      0.5509938354172,
      0.5419097438133654,
      0.5329776267262103,
      0.524194535619234,
      0.5155575980695644,
      0.5070640147753228,
      0.49871105681083056,
      0.4904962544423526,
      0.4824179101974206,
      0.4744742599753547,
      0.4666632861030844,
      0.4589828303077133,
      0.4514306648299371,
      0.44400453710583665,
      0.4367021977508348,
      0.4295214178348073,
      0.4224599995176837,
      0.41551578167605174,
      0.40868664378746167,
      0.40197050759083486,
      0.39536555538766216,
      0.388870149841378,
      0.38248256172451367,
      0.37620100847538646,
      0.3700236880671675,
      0.36394879995695595,
      0.3579745583373065,
      0.35209920003734446,
      0.3463209895027362,
      0.3406382827140421,
      0.33504957417979864,
      0.3295533449256247,
      0.3241480561634587,
      0.3188321678852319,
      0.3136041505527227,
      0.308462492195466,
      0.3034057085678564,
      0.29843236785255045,
      0.293541062955883,
      0.2887303993183519,
      0.2839989786204495,
      0.27934522762827246,
      0.2747675529903275,
      0.27026448806973175,
      0.265834655693644,
      0.2614767443533529,
      0.25718949297239035,
      0.25297168066706605,
      0.24882211982279034,
      0.24473968204121924,
      0.24072360917502073,
      0.2367732584778707,
      0.2328878234500759,
      0.2290664001505062,
      0.22530802850030618,
      0.22161171904235724,
      0.21797647010650614,
      0.21440127890707386,
      0.21088514811753575,
      0.20742709044331406,
      0.20402613126142574,
      0.20068131023062893,
      0.19739162897040174,
      0.19415604161596067,
      0.19097355323836668,
      0.18784321788905511,
      0.18476412687178775,
      0.18173540083270917,
      0.1787561845328537,
      0.17582564308886955,
      0.17294295998074183,
      0.1701073352613461,
      0.16731798444512264,
      0.1645741377110526,
      0.1618750391879867,
      0.1592199465434336,
      0.15660813064646684,
      0.1540388130559297,
      0.15151112678301287,
      0.14902425914602452,
      0.14657745738778766,
      0.1441700117838718,
      0.14180124447572695,
      0.1394705021558523,
      0.1371771509415356,
      0.1349205733809918,
      0.13270016606597945,
      0.13051533795123527,
      0.1283655096221793,
      0.12625011231936398,
      0.12416858747310033,
      0.12212038630814781,
      0.1201049694599372,
      0.11812180668384951,
      0.11617037673342279,
      0.1142501671715416,
      0.11236067402516739,
      0.1105014017602716,
      0.10867186297844349,
      0.10687157839460673,
      0.10510007657385208,
      0.10335689383449018,
      0.10164157423993143,
      0.09995366937495191,
      0.0982927381344491,
      0.09665834647944736,
      0.0950500677322903,
      0.09346748213345886,
      0.09191017677208198,
      0.09037774549548286,
      0.08886978875262923,
      0.08738591357523356,
      0.08592573348308431,
      0.08448886822130833,
      0.08307494362092707,
      0.08168359166253492,
      0.08031445031648642,
      0.0789671634806702,
      0.07764138079300155,
      0.07633675767157841,
      0.07505295501227137,
      0.07378963930410676,
      0.07254648229990453,
      0.071323161209032,
      0.0701193584004691,
      0.06893476148125348,
      0.06776906287200969,
      0.06662196016052362,
      0.06549315581246208,
      0.0643823571035355,
      0.06328927603140076,
      0.0622136290758976,
      0.061155137523345705,
      0.06011352713086489,
      0.05908852786786511,
      0.05807987412476018,
      0.05708730461669564,
      0.056110562354591206,
      0.055149394361588416,
      0.05420355183088952,
      0.053272789869755977,
      0.0523568674075393,
      0.05145554749041229,
      0.05056859689166875,
      0.04969578614641549,
      0.04883688944797061,
      0.04799168456727278,
      0.04715995291963636,
      0.04634147935887646,
      0.045536052293344786,
      0.044743463395048616,
      0.04396350771923283,
      0.043195983633084356,
      0.04244069263275802,
      0.0416974395990104,
      0.04096603245796592,
      0.04024628213341714,
      0.03953800264101286,
      0.03884101094284471,
      0.038155126959986636,
      0.037480173481398316,
      0.03681597616074242,
      0.0361623634219354,
      0.03551916634675508,
      0.03488621885904769,
      0.034263357458722034,
      0.03365042135352567,
      0.033047252187906315,
      0.03245369418832394,
      0.03186959422965048,
      0.031294801306894805,
      0.03072916702090383,
      0.030172545386577074,
      0.029624792663398427,
      0.02908576751928928,
      0.02855533078942139,
      0.028033345588138765,
      0.02751967713607863,
      0.02701419281870577,
      0.026516762119277875,
      0.026027256750975794,
      0.025545550428719532,
      0.025071518686853114,
      0.02460503925111253,
      0.024145991795389888,
      0.023694257833638308,
      0.023249720707709476,
      0.022812265773335533,
      0.022381780173998646,
      0.021958152768100304,
      0.021541274390388488,
      0.021131037457782116,
      0.020727336063571147,
      0.02033006604760518,
      0.01993912487462655,
      0.01955441167150143,
      0.01917582725203376,
      0.01880327407179195,
      0.018436655954237203,
      0.018075878305517386,
      0.017720848080745314,
      0.01737147360396585,
      0.017027664781640726,
      0.01668933292742539,
      0.016356390732597557,
      0.01602875243292048,
      0.01570633349142394,
      0.015389050674250499,
      0.015076822175810873,
      0.014769567476348867,
      0.014467207280845102,
      0.01416966365305204,
      0.013876859894513763,
      0.01358872037113764,
      0.013305170814676553,
      0.013026138101101687,
      0.012751550275798098,
      0.012481336582974302,
      0.012215427328185969,
      0.011953753833933402,
      0.011696248641033906,
      0.011442845390266267,
      0.011193478753097627,
      0.010948084397740258,
      0.010706598985208428,
      0.01046896025778643,
      0.01023510697941516,
      0.01000497887975685,
      0.009778516621401728,
      0.009555661745259191,
      0.009336356733770815,
      0.00912054503952489,
      0.008908171048053607,
      0.008699180050353875,
      0.008493518161876483,
      0.008291132314587552,
      0.008091970296904144,
      0.007895980758633049,
      0.0077031131494822306,
      0.007513317730584711,
      0.007326545576503461,
      0.00714274852316457,
      0.006961879195143306,
      0.006783890978875177,
      0.006608737973010319,
      0.0064363749803535136,
      0.0062667575912185225,
      0.0060998420916470765,
      0.005935585330191881,
      0.005773944993817972,
      0.005614879352751622,
      0.005458347446491346,
      0.005304309024872052,
      0.0051527243010138,
      0.005003554126054953,
      0.0048567600516738795,
      0.004712304287323184,
      0.004570149621757584,
      0.0044302593662296835,
      0.004292597331336741,
      0.004157128021914927,
      0.0040238165996732645,
      0.003892628619129591,
      0.0037635303949091503,
      0.0036364885133711926,
      0.003511470216745788,
      0.003388443280720201,
      0.003267376040793488,
      0.003148237280697037,
      0.0030309962433390913,
      0.0029156227834197116,
      0.0028020871345593146,
      0.002690360009452335,
      0.00258041250359102,
      0.00247221629968177,
      0.0023657435756871,
      0.002260966844668923,
      0.002157859056848326,
      0.002056393671574813,
      0.0019565445275455534,
      0.0018582859246334675,
      0.0017615924403921646,
      0.0016664391800825745,
      0.0015728016407182506,
      0.0014806555830932813,
      0.001389977254610899,
      0.0013007433089458887,
      0.001212930790501113,
      0.0011265170635825026,
      0.0010414798889097298,
      0.0009577972024777698,
      0.0008754475189887197,
      0.0007944095611614402,
      0.0007146624052389813,
      0.0006361854941566692,
      0.0005589586588338122,
      0.0004829619115176606,
      0.0004081756346379997,
      0.00033458060561747057,
      0.0002621578385244894,
      0.00019088867502212875,
      0.0001207547557560297,
      5.173794804698377e-05,
      -1.617947704314847e-05,
      -8.301500977882244e-05,
      -0.00014878591312718781,
      -0.000213509093339068,
      -0.0002772013127976634,
      -0.0003398790202588813,
      -0.0004015583645061143,
      -0.0004622552325188988,
      -0.0005219852417285815,
      -0.000580763833186634,
      -0.0006386061030827573,
      -0.000695527014946888,
      -0.0007515412926029478,
      -0.0008066633765817128,
      -0.000860907385155501,
      -0.0009142874052037072,
      -0.0009668171212544671,
      -0.001018510117511214,
      -0.0010693796382836244,
      -0.0011194388756309633,
      -0.001168700760028464,
      -0.0012171779414138339,
      -0.0012648829214394837,
      -0.0013118280580880852,
      -0.0013580253914305688,
      -0.0014034868755322934,
      -0.001448224202600482,
      -0.001492248829912262,
      -0.0015355721901953872,
      -0.0015782055263805289,
      -0.0016201598151195985,
      -0.001661445898919369,
      -0.001702074369527053,
      -0.001742055654171159,
      -0.0017814001646785235,
      -0.0018201179818083826,
      -0.0018582190797465726,
      -0.0018957132378260026,
      -0.0019326100470163493,
      -0.001968919125875665,
      -0.0020046498338405403,
      -0.002039811473312062,
      -0.002074413065256236,
      -0.002108463588574259,
      -0.0021419716013855107,
      -0.002174945777633997,
      -0.002207394756232798,
      -0.0022393268698508886,
      -0.002270750406730026,
      -0.0023016734076502826,
      -0.0023321037930639043
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334815135208924,
      10.093838564377663,
      9.846682539334278,
      9.596136628685363,
      9.344646904837825,
      9.094328674688137,
      8.846940418704879,
      8.603874189209849,
      8.366162201562044,
      8.134488361253647,
      7.909220147281259,
      7.690453657087904,
      7.478064479584098,
      7.271760052481517,
      7.071129942616993,
      6.8756919741540745,
      6.684932320753225,
      6.4983372570568365,
      6.315419679924874,
      6.135737556489376,
      5.958905052671341,
      5.78459166282946,
      5.61253277847454,
      5.442547847252505,
      5.2745373591395825,
      5.108472995457119,
      4.9443964961353855,
      4.78242944071511,
      4.622788930672524,
      4.465776705730111,
      4.311727367009291,
      4.161001403103823,
      4.013980933611137,
      3.8710576971798814,
      3.7326068211841883,
      3.5989706024652817,
      3.4704485240621916,
      3.3472898686408823,
      3.229688815330736,
      3.117782016094051,
      3.0116404822302694,
      2.9112620568026566,
      2.8165720344039613,
      2.7274110203747832,
      2.6435612239230513,
      2.564778796013512,
      2.4908121067230278,
      2.4214018155273105,
      2.356278820823794,
      2.295162861582729,
      2.2377466724780506,
      2.183654965154816,
      2.132529739066683,
      2.0840329558006654,
      2.03784553248727,
      1.993678389679724,
      1.9512986968129606,
      1.9105147370407876,
      1.8711692050460769,
      1.8331358380822305,
      1.7963075471359957,
      1.7605882281582215,
      1.7258985233717492,
      1.6921732118194592,
      1.6593573479061978,
      1.6274035712837116,
      1.5962702254703145,
      1.5659200374787956,
      1.5363191826744917,
      1.5074366162981983,
      1.4792437785358885,
      1.4517147394769543,
      1.4248243490579688,
      1.3985494489137484,
      1.3728708485112078,
      1.3477725440568689,
      1.323238099336707,
      1.2992507900564714,
      1.275793969568628,
      1.252851296036182,
      1.2304068663021634,
      1.2084452923866298,
      1.186951739025039,
      1.1659119367210085,
      1.1453122454372457,
      1.1251405185078451,
      1.105385490581968,
      1.0860363885042057,
      1.0670827095840532,
      1.0485139440483786,
      1.0303197240604762,
      1.0124899118032906,
      0.9950146508722987,
      0.9778843931967444,
      0.961089910972005,
      0.9446222975023985,
      0.9284729635229743,
      0.9126336285745341,
      0.897096311157094,
      0.8818533177072414,
      0.8668972307353745,
      0.8522208972563492,
      0.8378174169598882,
      0.8236802114411523,
      0.8098033542238331,
      0.7961811510535399,
      0.7828079205445302,
      0.7696780556742286,
      0.7567860595788757,
      0.7441265663915232,
      0.731694351885799,
      0.7194843378188205,
      0.7074915925994096,
      0.6957113295967288,
      0.6841389041393902,
      0.6727698092023717,
      0.6615996707378122,
      0.6506242432713946,
      0.6398394054381971,
      0.629241154747775,
      0.6188255940489376,
      0.6085888811777652,
      0.5985272767892573,
      0.5886371708607031,
      0.5789150689586794,
      0.5693575825917215,
      0.5599614213458108,
      0.5507233869487028,
      0.5416403679848137,
      0.5327093362495132,
      0.5239273427540994,
      0.5152915147525201,
      0.5067990527165647,
      0.4984472273808664,
      0.49023362547822275,
      0.4821565909817071,
      0.47421432091269394,
      0.4664047730252383,
      0.45872577336397435,
      0.4511750839354415,
      0.4437504454928152,
      0.4364496044487117,
      0.4292703290873594,
      0.42221041944803284,
      0.415267713423316,
      0.40844008959178185,
      0.40172546892216815,
      0.39512205736426104,
      0.38862821799714364,
      0.38224221147877074,
      0.37596224860139477,
      0.3697865229883255,
      0.36371323141287776,
      0.3577405863243481,
      0.35186682340902153,
      0.34609020606604024,
      0.3404090999281952,
      0.3348219995705297,
      0.3293273813724894,
      0.3239237035386298,
      0.31860942423295985,
      0.31338301262313534,
      0.30824295588205713,
      0.30318777017834264,
      0.29821602448979334,
      0.29332631060804965,
      0.2885172330420625,
      0.2837873950965883,
      0.2791352254974217,
      0.2745591289678548,
      0.270057637861478,
      0.2656293741421807,
      0.26127302579538225,
      0.2569873313761667,
      0.2527710697157957,
      0.24862305294451031,
      0.2445421588574366,
      0.2405276379726991,
      0.2365788417204344,
      0.23269495973243634,
      0.22887508541063992,
      0.22511825699061874,
      0.22142348391195008,
      0.21778976368527325,
      0.21421609279443618,
      0.21070147377649406,
      0.20724491918168583,
      0.20384545417382954,
      0.20050211817631838,
      0.1972139083895633,
      0.1939797787120909,
      0.19079873581607956,
      0.18766983503578424,
      0.18459216833828102,
      0.1815648566439141,
      0.17858704489191582,
      0.17565789838273554,
      0.17277660067740425,
      0.1699423519469327,
      0.16715436763781302,
      0.16441187785880984,
      0.16171412693879728,
      0.15906037251963243,
      0.15644988545380537,
      0.15388194928523682,
      0.1513557572146653,
      0.14887045469581922,
      0.14642525938340073,
      0.14401944214097676,
      0.14165231240867826,
      0.13932320852998517,
      0.13703149117447225,
      0.13477653935573672,
      0.1325577472601223,
      0.1303745225312518,
      0.12822628478791961,
      0.1261124647270624,
      0.12403250339519992,
      0.121985851797752,
      0.11997197041841444,
      0.11799032911227476,
      0.11604040667834428,
      0.11412169056282234,
      0.11223367682479089,
      0.11037587007270515,
      0.1085477829005517,
      0.10674893606872424,
      0.10497885822185624,
      0.10323708580439862,
      0.10152316297681509,
      0.09983664130896916,
      0.09817707972778515,
      0.09654404450856184,
      0.09493710891577602,
      0.09335585327520295,
      0.09179986478338252,
      0.09026873737923982,
      0.08876207157516011,
      0.08727947457805559,
      0.08582055995670707,
      0.08438494745529973,
      0.08297226301312005,
      0.08158213868191991,
      0.08021421261602107,
      0.0788681286859415,
      0.07754353664090484,
      0.07624009199952889,
      0.07495745581787555,
      0.07369529457928231,
      0.07245328023742252,
      0.07123109001803332,
      0.07002840639604807,
      0.068844916995775,
      0.0676803145197418,
      0.06653429658795164,
      0.06540656573494011,
      0.06429682915442955,
      0.06320479901784072,
      0.062130192019041144,
      0.061072729470369874,
      0.06003213699879893,
      0.05900814492948836,
      0.058000487725800035,
      0.057008904135414824,
      0.05603313714520323,
      0.05507293397744603,
      0.054128045949473014,
      0.05319822818951216,
      0.05228323985025997,
      0.05138284393344362,
      0.0504968072975265,
      0.049624900639033236,
      0.0487668981758049,
      0.04792257778624757,
      0.04709172100345465,
      0.04627411270146745,
      0.045469541271654985,
      0.04467779856103197,
      0.043898679705987015,
      0.04313198323639066,
      0.042377510836046364,
      0.04163506734746729,
      0.04090446066813272,
      0.040185501877443845,
      0.039478005026171686,
      0.038781787143886415,
      0.0380966682993553,
      0.03742247145294675,
      0.03675902219614167,
      0.036106149022824836,
      0.03546368316315284,
      0.0348314585677372,
      0.03420931181359816,
      0.03359708223625424,
      0.032994611627352996,
      0.03240174425304193,
      0.03181832697789021,
      0.03124420895929745,
      0.030679241866604794,
      0.030123279784897622,
      0.029576179122370667,
      0.029037798507198034,
      0.028507998864754188,
      0.0279866433448841,
      0.02747359731486604,
      0.02696872824016753,
      0.026471905751615885,
      0.025983001529787008,
      0.025501889191283274,
      0.025028444500441886,
      0.0245625452648355,
      0.024104071200873333,
      0.02365290390200271,
      0.023208926807775254,
      0.022772025294918334,
      0.0223420865655398,
      0.021918999701874338,
      0.021502655337054703,
      0.021092946023481256,
      0.020689766003015097,
      0.020293011175964337,
      0.019902579208823382,
      0.019518369177784448,
      0.01914028194323341,
      0.018768219907569512,
      0.018402087021063846,
      0.018041788793279206,
      0.01768723230480507,
      0.017338325868267408,
      0.0169949794263406,
      0.016657104376680398,
      0.016324613510948716,
      0.01599742108021646,
      0.015675442573296693,
      0.015358594919719434,
      0.0150467963549594,
      0.01473996637348395,
      0.014438025877498187,
      0.014140896809477603,
      0.01384850247586853,
      0.01356076750718113,
      0.013277617683343,
      0.012998979871635934,
      0.012724782191559572,
      0.012454953815515564,
      0.012189425079178407,
      0.011928127500889885,
      0.01167099367187225,
      0.011417957182917536,
      0.011168952751841309,
      0.010923916069235658,
      0.010682783902223889,
      0.01044549411380938,
      0.010211985514371979,
      0.009982197850730972,
      0.009756071811411358,
      0.009533549042107448,
      0.00931457206292457,
      0.009099084348217669,
      0.008887030314811004,
      0.008678355256517035,
      0.008473005307626255,
      0.008270927568679032,
      0.008072069778000653,
      0.007876380590116668,
      0.007683809628785504,
      0.007494307155489177,
      0.007307824281470179,
      0.007124312947757426,
      0.006943725838331998,
      0.006766016245101055,
      0.006591138317393543,
      0.006419046932794504,
      0.006249697710972972,
      0.006083046915628936,
      0.005919051582144305,
      0.005757669386842042,
      0.005598858697287122,
      0.005442578529680922,
      0.005288788579030537,
      0.005137449060606687,
      0.004988521024823555,
      0.004841966038846071,
      0.004697746347462205,
      0.004555824712012246,
      0.00441616446805291,
      0.0042787295720834746,
      0.004143484625659167,
      0.004010394704297446,
      0.0038794254114889746,
      0.003750543010844573,
      0.003623714274480136,
      0.0034989064225618895,
      0.0033760872491172683,
      0.003255225103831574,
      0.0031362888377197105,
      0.00301924762982041,
      0.002904071400369502,
      0.0027907304260984186,
      0.0026791954651608956,
      0.0025694377311640095,
      0.0024614289458636824,
      0.0023551411451706613,
      0.002250546912989748,
      0.002147619260794225,
      0.0020463317380575103,
      0.0019466581502652052,
      0.0018485726914649714,
      0.00175205014178408,
      0.0016570655714217956,
      0.0015635945099928448,
      0.0014716128120673521,
      0.0013810967723802037,
      0.0012920230456167788,
      0.0012043686055939367,
      0.001118110845613339,
      0.0010332275279646649,
      0.0009496967855960205,
      0.0008674969854729447,
      0.0007866069617448576,
      0.0007070058115909764,
      0.0006286729214485574,
      0.0005515882232786941,
      0.00047573182300952995,
      0.00040108411979543346,
      0.0003276257733792315,
      0.0002553379782977733,
      0.00018420212268045847,
      0.00011419977243971245,
      4.531283458169106e-05,
      -2.2476361613575692e-05,
      -8.918542641135022e-05,
      -0.0001548315333279336,
      -0.00021943161410072407,
      -0.00028300236107973564,
      -0.0003455601278073644,
      -0.0004071211838365451,
      -0.0004677014034224397,
      -0.0005273163341137258,
      -0.000585981314899024,
      -0.000643711568563198,
      -0.0007005219240201778,
      -0.0007564270337863608,
      -0.0008114413422882917,
      -0.0008655790790117922,
      -0.0009188541553150442,
      -0.0009712803336313649,
      -0.0010228711795676622,
      -0.001073639930851118,
      -0.0011235997019515952,
      -0.0011727634335888374,
      -0.001221143861036917,
      -0.001268753398735446,
      -0.0013156043352331999,
      -0.001361708728919547,
      -0.0014070785823556056,
      -0.0014517255142780091,
      -0.0014956611042193778,
      -0.0015388965497552488,
      -0.0015814430604921248,
      -0.001623311577494659,
      -0.0016645128799982728,
      -0.0017050576149781169,
      -0.00174495634531402,
      -0.0017842193684960727,
      -0.0018228568463067513,
      -0.0018608787045683518,
      -0.0018982946977359224,
      -0.001935114497982562,
      -0.0019713475678163604,
      -0.002007003159091253,
      -0.0020420906546446734,
      -0.0020766190833743435,
      -0.002110597340416476,
      -0.0021440342345361765,
      -0.002176938306613364,
      -0.002209318149478591,
      -0.0022411820406250797,
      -0.0022725382548340477,
      -0.0023033948867474765,
      -0.0023337598252635757
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334811487416223,
      10.09382589380728,
      9.846654890657017,
      9.59608934898632,
      9.344576764741044,
      9.094233530859963,
      8.846818969449211,
      8.603725847428642,
      8.365986971985148,
      8.134286495989464,
      7.9089920251549,
      7.690199697688386,
      7.477785087798981,
      7.271455590307036,
      7.070800722724961,
      6.875338248642636,
      6.684554324558659,
      6.497935256080717,
      6.314994009140024,
      6.135288709331106,
      5.958433729263568,
      5.784098808228169,
      5.612019558822342,
      5.442015709378376,
      5.273988058142658,
      5.107908375641726,
      4.943818592525429,
      4.781840691787028,
      4.622192608794021,
      4.465176313879445,
      4.31112638867732,
      4.160403328418354,
      4.0133893488380314,
      3.870476081801082,
      3.7320384006846967,
      3.598418298168502,
      3.4699149091389887,
      3.3467771334524876,
      3.229198747216574,
      3.1173159930094627,
      3.01119932120719,
      2.910846078089675,
      2.816180903351507,
      2.7270437807255354,
      2.6432163651108085,
      2.564454625902784,
      2.4905068314996823,
      2.4211135609424588,
      2.3560056940163667,
      2.294902878515822,
      2.2374976117050043,
      2.183414350608765,
      2.132295444958914,
      2.0838029862287892,
      2.0376180440373797,
      1.9934519065881033,
      1.951072105882203,
      1.910287106766933,
      1.87093985162618,
      1.8329042765945807,
      1.796073355235543,
      1.7603510936642452,
      1.725658252817459,
      1.6919296946934197,
      1.6591105312755423,
      1.627153441855397,
      1.596016797600216,
      1.5656633442509347,
      1.53605926935068,
      1.507173536449724,
      1.4789776019641074,
      1.4514455543812363,
      1.424552417866536,
      1.3982750512322295,
      1.3725944050144046,
      1.347494432272353,
      1.3229585810828115,
      1.2989700509845918,
      1.2755121453717448,
      1.2525684892374422,
      1.2301231581494068,
      1.2081607494477313,
      1.1866664182473308,
      1.165625888498597,
      1.1450255265892963,
      1.1248531974385758,
      1.1050976302226787,
      1.085748052098796,
      1.066793950292633,
      1.0482248088811652,
      1.0300302556087972,
      1.0122001502627738,
      0.9947246343758228,
      0.9775941583914628,
      0.9607994931276541,
      0.9443317309648646,
      0.9281822821582117,
      0.9123428654904078,
      0.8968054992294815,
      0.8815624892322881,
      0.8666064176310593,
      0.8519301308991937,
      0.8375267282659218,
      0.8233897119701501,
      0.8095132297729649,
      0.7958915277989761,
      0.7825188869004958,
      0.7693896752349132,
      0.7564983801726092,
      0.7438396254978992,
      0.7314081800063218,
      0.7191989608518498,
      0.707207033557193,
      0.6954276096692177,
      0.6838560429544546,
      0.6724878252248284,
      0.6613185817331935,
      0.6503440662998762,
      0.6395601569910373,
      0.6289628509499736,
      0.6185482501142338,
      0.6083125112346093,
      0.5982518951716124,
      0.5883627920174185,
      0.5786417072286165,
      0.5690852518952996,
      0.5596901352244094,
      0.5504531586467499,
      0.5413712105243248,
      0.5324412621664966,
      0.5236603644637261,
      0.515025644220878,
      0.5065343015316514,
      0.4981836069184223,
      0.48997123152735456,
      0.4818955219527897,
      0.47395464062980575,
      0.46614652321857825,
      0.45846898145198123,
      0.45091976815844476,
      0.44349661802536267,
      0.4361972734432472,
      0.429019500164772,
      0.42196109661478043,
      0.4150198993928747,
      0.40819378630063086,
      0.40148068976240214,
      0.3948788326249749,
      0.3883865664811062,
      0.3820021442454694,
      0.3757237717835044,
      0.36954963944215435,
      0.3634779417681115,
      0.3575068897932938,
      0.35163471843452077,
      0.34585969041628856,
      0.34018018096269953,
      0.3345946844756783,
      0.32910167303301874,
      0.3236996019084987,
      0.3183869272354256,
      0.31316211702734886,
      0.30802365774042056,
      0.30297006575442836,
      0.2979999110714777,
      0.29311178416531763,
      0.2883042888432035,
      0.2835760294116162,
      0.27892543710285406,
      0.274350914854544,
      0.26985099365531967,
      0.2654242947716078,
      0.2610695056452431,
      0.25678536441271027,
      0.25257064963358666,
      0.24842417319598048,
      0.2443448191654975,
      0.24033184652294864,
      0.2363846006971199,
      0.23250226760290552,
      0.22868393795869105,
      0.22492864835075307,
      0.22123540709995393,
      0.21760321100884256,
      0.21403105617111107,
      0.2105179447814353,
      0.20706288899156935,
      0.20366491380035123,
      0.20032305857142066,
      0.1970363162107939,
      0.19380364030206523,
      0.19062403904107253,
      0.18749656878961293,
      0.18442032227781902,
      0.1813944208633758,
      0.17841800968702112,
      0.17549025426937664,
      0.17261033813069349,
      0.16977746144394454,
      0.1669908399361417,
      0.16424970363850164,
      0.16155329665383944,
      0.15890087678205866,
      0.15629171479437068,
      0.15372509432690054,
      0.15120029387966105,
      0.14871649027504605,
      0.14627285866058407,
      0.14386864237232347,
      0.14150313279613816,
      0.13917565646278982,
      0.13688556650423567,
      0.1346322367397956,
      0.1324150581987335,
      0.1302334363357029,
      0.12808678942560076,
      0.12597454726039065,
      0.12389615038466376,
      0.12185104952454921,
      0.11983870501040277,
      0.11785858656068253,
      0.11591017285379877,
      0.11399295145314393,
      0.11210641844217333,
      0.11025007826531863,
      0.10842344367218415,
      0.10662603550432001,
      0.10485738251491403,
      0.10311702123996899,
      0.10140449599093307,
      0.0997193584023536,
      0.09806116751946128,
      0.09642948954138177,
      0.09482389788176943,
      0.09324397303739901,
      0.09168930220108011,
      0.09015947934282312,
      0.08865410523191868,
      0.08717278705621365,
      0.08571513842015124,
      0.08428077911050755,
      0.08286933527814717,
      0.08148043914962022,
      0.08011372888394863,
      0.07876884850779946,
      0.0774454479669573,
      0.07614318273445606,
      0.07486171387110145,
      0.07360070795341134,
      0.07235983698018278,
      0.07113877827289679,
      0.06993721441150136,
      0.06875483317671821,
      0.0675913273043205,
      0.06644639441330417,
      0.06531973717169201,
      0.06421106300962146,
      0.0631200840571641,
      0.06204651709604114,
      0.06099008355413351,
      0.05995050934497368,
      0.05892752466404359,
      0.05792086408040618,
      0.056930266498362234,
      0.05595547501136883,
      0.05499623690196918,
      0.05405230347895241,
      0.05312343004158389,
      0.052209375845369284,
      0.05130990393039703,
      0.050424781320139396,
      0.04955377861462795,
      0.048696670259485555,
      0.04785323415748729,
      0.04702325194908284,
      0.046206508622750754,
      0.04540279272684929,
      0.04461189609846895,
      0.04383361406936614,
      0.04306774514123741,
      0.04231409107068285,
      0.04157245674057867,
      0.04084265025347703,
      0.04012448274783973,
      0.03941776828313601,
      0.03872232413035573,
      0.03803797044518644,
      0.037364530015827714,
      0.03670182867616958,
      0.036049694916354874,
      0.03540796013965633,
      0.03477645839295824,
      0.034155026413082816,
      0.033543503415737426,
      0.032941731257068334,
      0.03234955430622037,
      0.03176681947392556,
      0.031193376079052412,
      0.030629075940920666,
      0.030073773207743314,
      0.02952732418096425,
      0.028989587650994717,
      0.028460424669644463,
      0.027939698484309685,
      0.02742727453760138,
      0.02692302038651691,
      0.02642680558546848,
      0.025938501869413377,
      0.02545798300850729,
      0.024985125001388983,
      0.0245198055579982,
      0.02406190443558278,
      0.023611303407135523,
      0.02316788591931591,
      0.022731537514325766,
      0.022302145362688517,
      0.021879598624731853,
      0.02146378805464394,
      0.0210546061916318,
      0.020651947310879444,
      0.02025570748063775,
      0.01986578432650804,
      0.01948207711424276,
      0.01910448672402452,
      0.01873291556093142,
      0.018367267643529334,
      0.01800744860945257,
      0.017653365479217413,
      0.01730492674974773,
      0.016962042481266062,
      0.01662462401475421,
      0.01629258417784425,
      0.015965837286613316,
      0.01564429906418538,
      0.015327886399332337,
      0.015016517555344938,
      0.014710112020952959,
      0.014408590741899593,
      0.014111875925416831,
      0.013819890868803055,
      0.013532560142225206,
      0.01324980957906668,
      0.012971566194971876,
      0.012697758086218343,
      0.012428314510213137,
      0.012163165951688877,
      0.01190224390698496,
      0.011645481003768532,
      0.011392810895641736,
      0.011144168269035963,
      0.010899488930465218,
      0.010658709707569242,
      0.010421768538221155,
      0.010188604214412665,
      0.00995915653664747,
      0.009733366230334922,
      0.009511174954919262,
      0.009292525380324122,
      0.009077361127516562,
      0.00886562647081661,
      0.008657266755483886,
      0.008452228214978905,
      0.008250457899972825,
      0.008051903756907411,
      0.00785651446175649,
      0.007664239581271255,
      0.007475029578796089,
      0.007288835575077782,
      0.0071056094301473905,
      0.006925303751522552,
      0.006747872013689076,
      0.006573268477065025,
      0.006401448084999665,
      0.006232366458608887,
      0.006065979919750884,
      0.005902245523404544,
      0.005741120977896953,
      0.005582564695338008,
      0.005426535762073531,
      0.005272993847846343,
      0.005121899289301394,
      0.00497321301708361,
      0.004826896707836969,
      0.004682912627221667,
      0.004541223634761202,
      0.004401793069602095,
      0.004264584963006954,
      0.004129563941639914,
      0.003996695075963022,
      0.0038659440486307124,
      0.0037372770894511533,
      0.003610661027600552,
      0.0034860631166975715,
      0.003363451243492803,
      0.003242793731687734,
      0.003124059389670656,
      0.003007217597782948,
      0.0028922382575722588,
      0.0027790915916631183,
      0.002667748421337691,
      0.002558179988074699,
      0.0024503580570900403,
      0.0023442547235653357,
      0.002239842551316896,
      0.0021370946623347487,
      0.00203598449123296,
      0.001936485960913597,
      0.0018385734182787316,
      0.0017422215527534122,
      0.0016474054749068328,
      0.001554100714161783,
      0.0014622832055756273,
      0.001371929150559467,
      0.0012830153309467142,
      0.0011955187566132083,
      0.0011094168236855714,
      0.0010246871682450143,
      0.0009413081258213165,
      0.0008592580482868711,
      0.0007785157722826935,
      0.0006990605044206475,
      0.0006208716314234572,
      0.0005439290081620914,
      0.0004682128085699063,
      0.00039370345412610176,
      0.00032038180430792013,
      0.0002482288524041733,
      0.00017722591804956317,
      0.00010735481550435013,
      3.8597508889306735e-05,
      -2.9063876006812516e-05,
      -9.564679739259718e-05,
      -0.0001611684998172579,
      -0.0002256457762778499,
      -0.0002890953078737276,
      -0.0003515334875009897,
      -0.0004129765478142014,
      -0.0004734402813482085,
      -0.0005329402236559695,
      -0.0005914916885792713,
      -0.0006491099238537079,
      -0.0007058097830741986,
      -0.000761605853841754,
      -0.0008165125150484965,
      -0.0008705440379066868,
      -0.0009237143556941541,
      -0.0009760371884509938,
      -0.0010275260650577625,
      -0.001078194223702338,
      -0.0011280547718287891,
      -0.0011771204960402343,
      -0.0012254041475690436,
      -0.0012729182571080957,
      -0.0013196751075391494,
      -0.0013656866867460418,
      -0.0014109648492779273,
      -0.0014555213055260897,
      -0.0014993675659904031,
      -0.001542514999177227,
      -0.0015849747426514207,
      -0.0016267576004019044,
      -0.0016678744098430423,
      -0.0017083357660638528,
      -0.0017481522353466983,
      -0.001787334065753125,
      -0.001825891259285527,
      -0.0018638338719998379,
      -0.0019011718178956612,
      -0.001937914532574504,
      -0.0019740716276918776,
      -0.002009652527499842,
      -0.002044666264167974,
      -0.002079121920764519,
      -0.0021130283992239632,
      -0.002146394449198437,
      -0.002179228651494441,
      -0.0022115395026635325,
      -0.0022433353274428146,
      -0.0022746243052302875,
      -0.002305414489190912,
      -0.002335713876355992
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33480784552197,
      10.093813238577168,
      9.846627265646427,
      9.596042101589367,
      9.344506662041896,
      9.094138428968023,
      8.846697567415958,
      8.603577558250237,
      8.36581180064523,
      8.134084695955844,
      7.908763976707695,
      7.689945820936031,
      7.477505787281321,
      7.271151226622587,
      7.0704716076418945,
      6.874984635800916,
      6.6841764507690895,
      6.497533387977907,
      6.314568483751829,
      6.134840021555946,
      5.957962580368288,
      5.783606143431351,
      5.611506544814931,
      5.441483793191088,
      5.2734389927174234,
      5.107344005196028,
      4.943240953304261,
      4.781252221943499,
      4.621596579782761,
      4.464576227314333,
      4.310525727494968,
      4.159805582543788,
      4.012798103526867,
      3.8698948140834397,
      3.731470333573048,
      3.5978663510165876,
      3.4693816519502407,
      3.3462647537926604,
      3.2287090294424985,
      3.1168503118612483,
      3.010758490731825,
      2.9104304163407475,
      2.8157900729431677,
      2.7266768227702824,
      2.6428717679210076,
      2.564130698151917,
      2.490201780233902,
      2.4208255132554606,
      2.355732758332334,
      2.294643072616363,
      2.2372487109976533,
      2.1831738793009468,
      2.132061282584498,
      2.0835731417671557,
      2.037390675789123,
      1.993225542616644,
      1.9508456561385603,
      1.9100596573728772,
      1.8707107092227742,
      1.8326729500973717,
      1.7958394163652758,
      1.7601142257405984,
      1.7254182597224577,
      1.691686463896763,
      1.658864008155611,
      1.626903611813466,
      1.5957636739183088,
      1.5654069591718798,
      1.5357996686472228,
      1.5069107742849623,
      1.4787117480497043,
      1.4511766967052984,
      1.4242808190844611,
      1.3980009909548858,
      1.3723183041076648,
      1.3472166676244763,
      1.3226794138570683,
      1.2986896664664527,
      1.2752306793303576,
      1.2522860442563621,
      1.2298398144533529,
      1.207876573530734,
      1.1863814670164972,
      1.1653402127485435,
      1.1447391834714113,
      1.1245662553165732,
      1.1048101516658053,
      1.0854600995633967,
      1.0665055772513177,
      1.0479360624849752,
      1.0297411787233186,
      1.0119107825248208,
      0.9944350132374312,
      0.977304320407554,
      0.9605094735542744,
      0.944041564569318,
      0.9278920024414993,
      0.9120525055278504,
      0.8965150917380901,
      0.881272066629141,
      0.8663160116248086,
      0.8516397727324068,
      0.8372364487445911,
      0.8230996726481391,
      0.809223597681143,
      0.795602417489587,
      0.7822303789822881,
      0.7691018286334077,
      0.7562112394415539,
      0.7435532258962492,
      0.7311225507349107,
      0.7189141271699669,
      0.7069230180396542,
      0.6951444328863796,
      0.6835737242137107,
      0.6722063829681441,
      0.6610380337960325,
      0.6500644301600469,
      0.639281449294697,
      0.6286850877907296,
      0.6182714467426547,
      0.6080366820613858,
      0.5979770542700413,
      0.588088953362356,
      0.5783688849276724,
      0.5688134598788689,
      0.5594193871831495,
      0.550183467909947,
      0.5411025902619393,
      0.5321737252274309,
      0.523393923028956,
      0.5147603101608629,
      0.5062700862478338,
      0.49792052148268473,
      0.4897093716631309,
      0.4816349857073397,
      0.47369549177600956,
      0.46588880328873955,
      0.45821271762087995,
      0.4506649784264033,
      0.4432433147624779,
      0.43594546515317334,
      0.4287691926707918,
      0.42171229395202947,
      0.41477260440969654,
      0.4079480008439227,
      0.4012364277996987,
      0.39463612467037773,
      0.38814543080573166,
      0.3817625915337212,
      0.3754858079736828,
      0.36931326737580994,
      0.36324316221417113,
      0.35727370202849407,
      0.35140312053523143,
      0.3456296797206461,
      0.339951764601988,
      0.33436786982496663,
      0.3288764627561658,
      0.3234759958371924,
      0.3181649234589651,
      0.31294171235029433,
      0.30780484803079716,
      0.30275284722675516,
      0.29778428095961895,
      0.29289773860914214,
      0.2880918230467418,
      0.28336513999565843,
      0.2787161227835075,
      0.2741431725325284,
      0.26964481906509746,
      0.26521968269108354,
      0.2608664503799798,
      0.25658385986934934,
      0.252370689364545,
      0.24822575074697983,
      0.24414793418032288,
      0.24013650719031715,
      0.23619080912111579,
      0.2323100221635078,
      0.22849323464957094,
      0.22473948134370245,
      0.22104776950464936,
      0.21741709525817332,
      0.21384645414863357,
      0.21033484781830816,
      0.20688128821623405,
      0.20348480028322233,
      0.200144423264017,
      0.19685914567341245,
      0.19362792077163515,
      0.1904497585367226,
      0.18732371632392592,
      0.18424888749138585,
      0.18122439377523752,
      0.1782493806111747,
      0.17532301370624567,
      0.1724444766964851,
      0.16961296976838774,
      0.1668277084190585,
      0.1640879229114835,
      0.1613928573930465,
      0.15874176953357355,
      0.15613393018625937,
      0.15356862286107645,
      0.15104514356969828,
      0.14856276351062442,
      0.1461206469484206,
      0.14371800040275196,
      0.14135409128448362,
      0.1390282303691946,
      0.13673976041268632,
      0.13448804853665275,
      0.1322724813381064,
      0.13009246152790188,
      0.12794740545575847,
      0.1258367417738079,
      0.12375991029219055,
      0.121716361213915,
      0.1197055546122884,
      0.11772696006095584,
      0.11578005620501369,
      0.11386433051979605,
      0.11197927918745519,
      0.11012440672798987,
      0.1082992258732116,
      0.10650325753159513,
      0.10473603054428485,
      0.10299708159458199,
      0.10128595492104298,
      0.09960220225244283,
      0.0979453827939289,
      0.09631506295815973,
      0.09471081614627916,
      0.09313222281986003,
      0.09157887036815474,
      0.09005035287183549,
      0.08854627104235685,
      0.08706623221026492,
      0.08560985007512126,
      0.08417674455105212,
      0.08276654185052967,
      0.08137887437395183,
      0.08001338029353758,
      0.07866970378744347,
      0.07734749470980243,
      0.07604640863448452,
      0.0747661068775426,
      0.07350625613987352,
      0.07226652838853034,
      0.07104660109427223,
      0.06984615703426737,
      0.06866488385002026,
      0.06750247445327191,
      0.06635862662714749,
      0.06523304313826492,
      0.06412543145673191,
      0.063035503811773,
      0.0619629770130483,
      0.06090757257258283,
      0.0598690164494438,
      0.05884703898545128,
      0.05784137490235513,
      0.05685176327361884,
      0.05587794720062696,
      0.05491967396208992,
      0.05397669503279954,
      0.053048765815729995,
      0.05213564555768673,
      0.05123709748271366,
      0.050352888571632635,
      0.04948278966120365,
      0.04862657517909312,
      0.047784023175753414,
      0.04695491540777242,
      0.04613903691716015,
      0.045336176300620964,
      0.044546125581533036,
      0.043768680019179426,
      0.04300363822264289,
      0.042250802035537736,
      0.04150997657335623,
      0.04078096989464167,
      0.04006359319236298,
      0.03935766076503189,
      0.03866298978008584,
      0.0379794004875759,
      0.03730671592685722,
      0.03664476190806827,
      0.03599336713804965,
      0.03535236297525053,
      0.034721583580150435,
      0.034100865732704315,
      0.033490048723571676,
      0.032888974547475934,
      0.03229748764922167,
      0.03171543494620797,
      0.03114266586028729,
      0.03057903223881603,
      0.030024388246622413,
      0.029478590477060473,
      0.028941497715850074,
      0.028412970981026978,
      0.027892873533121088,
      0.02738107102757567,
      0.026877431078686752,
      0.026381823326915903,
      0.025894119705653203,
      0.025414194073400762,
      0.02494192226758128,
      0.024477182172287944,
      0.024019853647610046,
      0.02356981848557725,
      0.02312696034828163,
      0.022691164675160108,
      0.022262318762793585,
      0.021840311674895252,
      0.021425034285014282,
      0.02101637925811677,
      0.020614241021358278,
      0.020218515637025043,
      0.019829100713222084,
      0.019445895702921386,
      0.01906880150996229,
      0.01869772066691381,
      0.018332557252221753,
      0.017973216927874954,
      0.017619606703323944,
      0.017271635156322754,
      0.016929212430825333,
      0.016592250037629902,
      0.016260660889062497,
      0.015934359288588027,
      0.01561326088745312,
      0.01529728268470029,
      0.014986343058086316,
      0.014680361603208422,
      0.01437925923158037,
      0.01408295807050767,
      0.013791381539504674,
      0.013504454406118646,
      0.013222102497400086,
      0.012944252816076047,
      0.012670833572292999,
      0.012401774131085955,
      0.012137005008930671,
      0.0118764577412409,
      0.011620064938099557,
      0.011367760395317776,
      0.011119478923727714,
      0.010875156347901042,
      0.010634729579031532,
      0.010398136468924261,
      0.010165315935467307,
      0.009936207754570926,
      0.009710752673779284,
      0.00948889252337529,
      0.009270569930772164,
      0.009055728490083076,
      0.00884431270590741,
      0.008636267972914113,
      0.008431540577929343,
      0.008230077520653864,
      0.008031826846855605,
      0.007836737272422956,
      0.00764475830666097,
      0.0074558403721785545,
      0.007269934794847634,
      0.007086993409199184,
      0.00690696895466674,
      0.006729814979115377,
      0.006555485675658202,
      0.006383936052727409,
      0.006215121763882047,
      0.00604899916278312,
      0.005885525411738634,
      0.005724658224499516,
      0.005566356082066573,
      0.00541057806966426,
      0.005257283887907346,
      0.005106433930029612,
      0.004957989234560054,
      0.0048119114276811105,
      0.004668162719159588,
      0.004526706084710361,
      0.00438750490419639,
      0.004250523206099787,
      0.0041157257298749346,
      0.003983077596610226,
      0.0038525445158283625,
      0.003724092707835243,
      0.003597689064100669,
      0.0034733008006682287,
      0.0033508957749549813,
      0.00323044253763294,
      0.00311190995466559,
      0.002995267276074154,
      0.002880484421820763,
      0.0027675318007206054,
      0.002656380156215256,
      0.0025470008137822788,
      0.0024393654348836185,
      0.00233344620466636,
      0.002229215805439741,
      0.0021266473539292203,
      0.002025714461262569,
      0.001926391014772967,
      0.0018286511900089599,
      0.0017324696865717174,
      0.0016378216540654906,
      0.001544682734639848,
      0.0014530289355516573,
      0.001362836458534435,
      0.001274082039004187,
      0.00118674282298019,
      0.0011007962008545446,
      0.0010162198841903536,
      0.000932992110836807,
      0.00085109140668332,
      0.0007704965714550645,
      0.0006911867862069846,
      0.0006131416017257193,
      0.0005363408326678526,
      0.0004607646246031212,
      0.000386393478053283,
      0.0003132080444640337,
      0.00024118954026676063,
      0.0001703193548504847,
      0.00010057911127792684,
      3.195076574920201e-05,
      -3.558320857790525e-05,
      -0.00010204036776648147,
      -0.00016743791422103356,
      -0.0002317927388710804,
      -0.00029512130271414766,
      -0.0003574401344601763,
      -0.0004187653098475216,
      -0.0004791126421150734,
      -0.0005384977377005683,
      -0.0005969359748542023,
      -0.0006544425384189733,
      -0.0007110322315858875,
      -0.0007667195783636874,
      -0.00082151896975077,
      -0.0008754446183965011,
      -0.0009285104490507643,
      -0.0009807301213958651,
      -0.0010321172300796428,
      -0.0010826850144164378,
      -0.001132446480434842,
      -0.0011814145473659768,
      -0.0012296018693401729,
      -0.0012770207768794247,
      -0.0013236836244135371,
      -0.0013696025333015513,
      -0.0014147893122697542,
      -0.0014592555674279293,
      -0.0015030128049972101,
      -0.0015460723493043245,
      -0.0015884452791082597,
      -0.0016301425855764244,
      -0.0016711750372968251,
      -0.0017115533117697474,
      -0.0017512877381007591,
      -0.0017903886939272268,
      -0.00182886623265767,
      -0.001866730237479475,
      -0.0019039905110221592,
      -0.0019406566357208631,
      -0.0019767381641139243,
      -0.002012244395587448,
      -0.002047184419090542,
      -0.002081567333490774,
      -0.0021154020223756917,
      -0.0021486971952524273,
      -0.0021814615363425303,
      -0.0022137034142358297,
      -0.0022454312455985302,
      -0.002276653216209528,
      -0.002307377370678843,
      -0.0023376116249079273
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334804208611343,
      10.093800599657472,
      9.84659967030626,
      9.595994896966499,
      9.34443661931954,
      9.094043406280388,
      8.846576263182008,
      8.603429415408554,
      8.365636817734034,
      8.133883120338025,
      7.908536186593229,
      7.689692235467227,
      7.477226809031954,
      7.270847214416045,
      7.070142872000454,
      6.874631429565019,
      6.683799011062618,
      6.497131982708426,
      6.314143450109564,
      6.134391853545213,
      5.957491977876304,
      5.783114051031649,
      5.610994135232025,
      5.44095251614772,
      5.272890598559327,
      5.1067803365161275,
      4.94266404387199,
      4.780664507357219,
      4.621001328572538,
      4.463976940265681,
      4.309925885596132,
      4.1592086715912515,
      4.012207704688604,
      3.8693144007585785,
      3.73090312420874,
      3.5973152605390504,
      3.4688492455386717,
      3.3457532142863644,
      3.2282201376780146,
      3.116385438930224,
      3.010318447292403,
      2.910015516375379,
      2.8153999759545254,
      2.7263105686851152,
      2.64252784597531,
      2.563807422556895,
      2.4898973616725075,
      2.4205380778979255,
      2.3554604139815525,
      2.2943838374446726,
      2.237000361445075,
      2.1829339409199884,
      2.131827636127542,
      2.0833437980874816,
      2.0371637920178767,
      1.9929996516799642,
      1.950619672026802,
      1.9098326679880295,
      1.870482022804024,
      1.832442076843795,
      1.7956059291909339,
      1.7598778087845557,
      1.725178716724692,
      1.6914436825949104,
      1.6586179346041805,
      1.626654232394642,
      1.5955110029440804,
      1.5651510299630667,
      1.5355405260166197,
      1.5066484711774288,
      1.4784463623131487,
      1.450908314084551,
      1.4240097007012311,
      1.3977274151886192,
      1.372042690182688,
      1.3469393918519237,
      1.322400737276394,
      1.2984097746417607,
      1.2749497071853289,
      1.2520040940826518,
      1.2295569670409618,
      1.2075928955250292,
      1.1860970155190582,
      1.165055038282181,
      1.144453342601441,
      1.12427981626758,
      1.1045231770590036,
      1.0851726519968712,
      1.0662177099190482,
      1.0476478224485546,
      1.0294526086929483,
      1.0116219222198735,
      0.9941459003284155,
      0.977014990836046,
      0.9602199627073008,
      0.9437519068161699,
      0.9276022316273966,
      0.9117626548980768,
      0.8962251939037508,
      0.8809821537771466,
      0.8660261157184338,
      0.8513499253976669,
      0.8369466969657706,
      0.8228101845646457,
      0.8089345314293682,
      0.7953138819978196,
      0.7819424514985195,
      0.7688145658062233,
      0.7559246845487612,
      0.7432674134092969,
      0.7308375093490899,
      0.7186298817158217,
      0.7066395908142317,
      0.6948618443316604,
      0.6832919935297685,
      0.6719255284848361,
      0.6607580730020518,
      0.6497853799242622,
      0.6390033262299373,
      0.6284079081498634,
      0.61799522589896,
      0.6077614342069562,
      0.5977027937304635,
      0.5878156944038758,
      0.5780966414291244,
      0.5685422457582556,
      0.55914921618187,
      0.5499143532676812,
      0.540834544739184,
      0.5319067612732871,
      0.523128052890471,
      0.5144955457820732,
      0.5060064392636934,
      0.4976580031808534,
      0.4894480773288796,
      0.4813750134144385,
      0.47343690512636816,
      0.4656316438014651,
      0.457957012614904,
      0.45041074605122366,
      0.4429905670841446,
      0.43569421027349703,
      0.4285194362423333,
      0.4214640399927904,
      0.41452585570038664,
      0.4077027593166144,
      0.4009927072527881,
      0.394393955422314,
      0.3879048313882668,
      0.38152357276367493,
      0.37524837566638625,
      0.3690774241209907,
      0.3630089085514798,
      0.3570410372051031,
      0.3511720428734885,
      0.34540018694098706,
      0.3397238642153599,
      0.3341415691143361,
      0.32865176450762223,
      0.3232529000159735,
      0.3179434280069091,
      0.31272181394783505,
      0.30758654257193496,
      0.30253613168759563,
      0.29756915220273955,
      0.2926841923763954,
      0.2878798543319335,
      0.28315474524300366,
      0.2785073007310553,
      0.27393592008519635,
      0.2694391318419713,
      0.26501555570521174,
      0.26066387807783015,
      0.2563828362939429,
      0.2521712082387767,
      0.24802780537579824,
      0.24395152405156809,
      0.23994164019144293,
      0.23599748736632656,
      0.23211824401056028,
      0.22830299593591888,
      0.22455077621713665,
      0.2208605909919838,
      0.2172314356887755,
      0.21366230540821812,
      0.21015220144743954,
      0.2067001354939278,
      0.20330513228258515,
      0.19996623086828394,
      0.1966824154554183,
      0.19345263912582072,
      0.19027591335195448,
      0.1871512965510686,
      0.18407788273900144,
      0.18105479421272333,
      0.17808117651665042,
      0.1751561954594871,
      0.17227903491792138,
      0.1694488950765526,
      0.16666499148650094,
      0.16392655436737427,
      0.16123282783309115,
      0.1585830695039358,
      0.15597655021755913,
      0.15341255355273495,
      0.1508903755913419,
      0.14840932441454185,
      0.14596864811039992,
      0.1435675233254517,
      0.14120518400553494,
      0.13888091910616984,
      0.13659405710362904,
      0.13434395588253972,
      0.13212999607935946,
      0.1299515763297274,
      0.1278081104086343,
      0.12569902529834223,
      0.12362375980191322,
      0.12158176358922033,
      0.11957249621404878,
      0.1175954270345883,
      0.11565003449682203,
      0.11373580607070508,
      0.11185223790990699,
      0.1099988345523754,
      0.10817510886435677,
      0.1063805818716549,
      0.10461478239514552,
      0.10287724715724007,
      0.10116752049454251,
      0.09948515419792195,
      0.09782970745400218,
      0.09620074676042713,
      0.09459784564989894,
      0.09302058481975223,
      0.0914685517006822,
      0.08994134048796851,
      0.0884385520301781,
      0.08695979372528562,
      0.08550467915960878,
      0.08407282849370584,
      0.08266386805681852,
      0.0812774301670296,
      0.07991315318224851,
      0.07857068125763372,
      0.07724966445459469,
      0.07594975842248612,
      0.07467062454213569,
      0.07341192956555964,
      0.07217334572961961,
      0.07095455049823754,
      0.06975522662896798,
      0.06857506206160188,
      0.06741374968907309,
      0.06627098735264488,
      0.06514647791941225,
      0.06403992894533526,
      0.06295105282317717,
      0.06187956646475349,
      0.06082519147387878,
      0.05978765394218652,
      0.05876668422344408,
      0.057762017098909074,
      0.05677339167621094,
      0.05580055119937237,
      0.05484324310003305,
      0.053901218832153,
      0.05297423383328397,
      0.05206204759276539,
      0.05116442341714752,
      0.05028112846782667,
      0.049411933504269784,
      0.048556613201045165,
      0.04771494565557075,
      0.04688671244318007,
      0.046071698783988334,
      0.04526969342483216,
      0.044480488549986576,
      0.04370387947010959,
      0.04293966490160395,
      0.04218764681064835,
      0.04144763027582016,
      0.040719423518692795,
      0.04000283777131265,
      0.0392976874509907,
      0.03860378979692914,
      0.03792096510327746,
      0.037249036476814296,
      0.03658782993335467,
      0.035937174116980004,
      0.03529690054489218,
      0.03466684337650325,
      0.0340468394028371,
      0.03343672809655282,
      0.03283635163449511,
      0.03224555442790412,
      0.0316641835075034,
      0.031092088396862685,
      0.030529121059138742,
      0.029975135783097885,
      0.029429989046528746,
      0.028893539795239506,
      0.02836564922872926,
      0.02784618062040735,
      0.027334999597346414,
      0.026831973767576598,
      0.026336973003920995,
      0.02584986917042834,
      0.025370536187395737,
      0.024898850123318505,
      0.024434688977329963,
      0.02397793260888305,
      0.023528462757437092,
      0.023086163241142686,
      0.022650919610305693,
      0.022222619265570013,
      0.021801151362134445,
      0.021386406827579092,
      0.02097827839413377,
      0.0205766604998845,
      0.020181449327254533,
      0.01979254249789604,
      0.019409839460622764,
      0.019033241262893682,
      0.018662650455680437,
      0.01829797123355273,
      0.017939109128931586,
      0.017585971354624697,
      0.017238466624516727,
      0.016896505126873892,
      0.016559998388400943,
      0.016228859347316858,
      0.015903002438524005,
      0.01558234327699954,
      0.015266799014341926,
      0.014956287975414317,
      0.014650729917366705,
      0.014350045772068647,
      0.014054157851573214,
      0.013762989613122794,
      0.013476465823664647,
      0.013194512366451664,
      0.012917056249476543,
      0.012644025777174758,
      0.012375350421966363,
      0.012110960585693527,
      0.011850787918363625,
      0.011594765119928447,
      0.011342826007181808,
      0.011094905476708345,
      0.010850939414938459,
      0.010610864751941314,
      0.010374619328627162,
      0.010142142136191992,
      0.00991337307050032,
      0.009688252925320386,
      0.00946672350978237,
      0.009248727566309444,
      0.00903420878176512,
      0.008823111635896524,
      0.008615381559161193,
      0.008410964813924936,
      0.008209808538116285,
      0.008011860734926959,
      0.007817070208657531,
      0.0076253866438094975,
      0.007436760522182287,
      0.007251142928327555,
      0.007068485949456009,
      0.006888742385517178,
      0.006711865754780483,
      0.006537810264072377,
      0.0063665309280236644,
      0.00619798357067911,
      0.0060321245885003654,
      0.005868911071827809,
      0.005708300814673982,
      0.005550252244433122,
      0.005394724506593379,
      0.005241677419191806,
      0.00509107137222459,
      0.004942867598519903,
      0.004797027690349475,
      0.0046535139644879545,
      0.004512289282180022,
      0.004373317119645479,
      0.004236561628465935,
      0.004101987386483952,
      0.003969559602447414,
      0.0038392439731070238,
      0.003711006879224024,
      0.003584815196267581,
      0.00346063627274539,
      0.0033384379227787797,
      0.003218188528764281,
      0.0030998571463541724,
      0.002983413223862124,
      0.0028688265264392105,
      0.002756067552394785,
      0.002645107112013341,
      0.0025359164480929556,
      0.002428467403139751,
      0.002322732111365188,
      0.002218683162962317,
      0.002116293700133035,
      0.002015537317829009,
      0.0019163880556490773,
      0.0018188202450225444,
      0.0017228086247411045,
      0.0016283283498084518,
      0.0015353550658197695,
      0.0014438647814040495,
      0.0013538337549857172,
      0.0012652386498067986,
      0.0011780566266390018,
      0.0010922651587373182,
      0.0010078420325030227,
      0.000924765355600256,
      0.0008430138337052937,
      0.0007625662605749248,
      0.0006834018230029568,
      0.0006055000762043873,
      0.0005288408572692615,
      0.0004534043968257351,
      0.00037917113967517326,
      0.00030612185253655315,
      0.000234237656425377,
      0.00016350002280046203,
      9.389066890318666e-05,
      2.5391562344177532e-05,
      -4.20150033892358e-05,
      -0.0001083464657877639,
      -0.00017361991547563656,
      -0.00023785218858496897,
      -0.0003010599267497275,
      -0.0003632594767895797,
      -0.0004244669613639266,
      -0.00048469822151460916,
      -0.0005439687960172634,
      -0.0006022940332874199,
      -0.0006596890689439074,
      -0.0007161686753722366,
      -0.0007717474087529256,
      -0.0008264396599860219,
      -0.0008802595581961102,
      -0.0009332210454100003,
      -0.000985337855203265,
      -0.0010366234009365834,
      -0.0010870909430017455,
      -0.00113675352013599,
      -0.0011856239431784687,
      -0.0012337148454874933,
      -0.0012810387770847756,
      -0.001327607942124222,
      -0.0013734343486469366,
      -0.0014185297983688918,
      -0.0014629060414365943,
      -0.00150657449777018,
      -0.0015495464867205113,
      -0.0015918330104701527,
      -0.0016334450707441446,
      -0.001674393381387953,
      -0.0017146885693703961,
      -0.0017543411655954982,
      -0.0017933612772940918,
      -0.0018317589586314994,
      -0.0018695441418508086,
      -0.0019067266636420984,
      -0.001943316170129795,
      -0.001979322129357375,
      -0.002014753753865845,
      -0.0020496202469241684,
      -0.002083930698518462,
      -0.0021176939240027904,
      -0.002150918625989765,
      -0.0021836133774091283,
      -0.0022157865661995065,
      -0.0022474466509510966,
      -0.0022786018442154817,
      -0.0023092600619992565,
      -0.002339429222094356
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334800574141315,
      10.09378796612162,
      9.846572082362954,
      9.595947699718625,
      9.344366582723563,
      9.09394838690833,
      8.846454959440148,
      8.60328132189339,
      8.365461925479165,
      8.133681669515171,
      7.908308546584556,
      7.689438817299199,
      7.476948010739301,
      7.270543391950853,
      7.069814333500585,
      6.874278424530236,
      6.683421772879008,
      6.496730776588271,
      6.31371861178696,
      6.133943876752911,
      5.957021562749842,
      5.782622140881602,
      5.610481906000766,
      5.440421432853437,
      5.272342408856478,
      5.106216880859125,
      4.942087353734112,
      4.780077015934237,
      4.620406302647986,
      4.463377877550411,
      4.309326265071113,
      4.158611977669608,
      4.011617518261441,
      3.868734194106222,
      3.730336114627703,
      3.5967643602612496,
      3.4683170173625038,
      3.345241839020146,
      3.2277313936033587,
      3.1159206951199105,
      3.009878512252106,
      2.909600703212032,
      2.8150099441945438,
      2.7259443579239324,
      2.6421839443176065,
      2.5634841654877225,
      2.4895929766493516,
      2.4202506850205836,
      2.3551881165190265,
      2.2941246499536065,
      2.2367520578833533,
      2.182694045800507,
      2.131594029805554,
      2.083114491259101,
      2.036936942058835,
      1.9927737918355846,
      1.950393716842903,
      1.9096057072231731,
      1.8702533657154614,
      1.8322112344940809,
      1.7953724754812919,
      1.759641428277396,
      1.7249392138841237,
      1.6912009453696408,
      1.6583719090018703,
      1.6264049046461087,
      1.5952583865469656,
      1.5648951567618803,
      1.5352814411279538,
      1.5063862287150618,
      1.4781810416003835,
      1.4506399998517094,
      1.4237386538725887,
      1.397453973612249,
      1.3717673004560271,
      1.34666239853054,
      1.3221223809554636,
      1.2981302266063102,
      1.2746690937283351,
      1.251722511709662,
      1.229274492375011,
      1.2073095915903502,
      1.1858129372021788,
      1.164770235293319,
      1.1441678710252898,
      1.1239937438732275,
      1.1042365663920573,
      1.0848855660599017,
      1.0659302020277075,
      1.04735993950234,
      1.0291643932094516,
      1.0113334135923275,
      0.9938571365293389,
      0.9767260084827833,
      0.9599307970158673,
      0.9434625923071915,
      0.9273128020595819,
      0.9114731435987155,
      0.895935633683053,
      0.8806925767818455,
      0.8657365537333941,
      0.8510604095786801,
      0.8366573265828792,
      0.8225211509020114,
      0.8086459640896361,
      0.7950258718450032,
      0.781655064044052,
      0.7685278500963457,
      0.7556386789224606,
      0.742982149132793,
      0.7305530129495118,
      0.7183461767585617,
      0.7063566987205271,
      0.6945797852068631,
      0.6830107863674407,
      0.671645191409449,
      0.6604786236782069,
      0.6495068354469579,
      0.6387257031830518,
      0.6281312225779118,
      0.6177194930662637,
      0.607486668345062,
      0.597429009302276,
      0.5875429056298823,
      0.5778248626457646,
      0.5682714908281059,
      0.5588794984800327,
      0.5496456862455356,
      0.5405669414895244,
      0.5316402344183289,
      0.5228626147677241,
      0.5142312084956356,
      0.5057432145513091,
      0.49739590209611684,
      0.4891871953479714,
      0.4811154486163401,
      0.47317872093233987,
      0.4653748816941679,
      0.4577016998675911,
      0.45015690075808185,
      0.4427382015005728,
      0.43544333265497737,
      0.4282700522327937,
      0.42121615348983904,
      0.41427946955728934,
      0.4074578755780333,
      0.40074933999716805,
      0.3941521350092594,
      0.38766457607518534,
      0.3812848934379034,
      0.37501127838051374,
      0.36884191179311004,
      0.36277498183642076,
      0.35680869530314774,
      0.35094128383376766,
      0.34517100832677333,
      0.3394962732797388,
      0.3339155730472802,
      0.32842736629425595,
      0.3230300995148248,
      0.3177222231793712,
      0.31250220145473656,
      0.3073685182356369,
      0.30231969277967213,
      0.2973542957023751,
      0.29247091423072835,
      0.2876681496510899,
      0.2829446104866224,
      0.2782987345511125,
      0.2737289194404694,
      0.2692336926724676,
      0.2648116729387592,
      0.260461546025903,
      0.2561820487753567,
      0.2519719588530511,
      0.24783008762119801,
      0.24375533751941608,
      0.23974699270648847,
      0.23580438101755388,
      0.23192667700227626,
      0.22811296409018528,
      0.22436227377911017,
      0.22067361105891045,
      0.21704597062071926,
      0.21347834705677676,
      0.2099697414449443,
      0.20651916510787846,
      0.20312564256059804,
      0.19978821276832043,
      0.19650585559842915,
      0.19327752396561054,
      0.19010223100125628,
      0.186979036018882,
      0.18390703371774558,
      0.1808853466755674,
      0.1779131208122882,
      0.17498952211426616,
      0.17211373445081118,
      0.16928495809992508,
      0.16650240857730086,
      0.16376531617284568,
      0.1610729250427893,
      0.15842449277656498,
      0.15581929009450177,
      0.15325660061251284,
      0.15073572033587077,
      0.14825595746075323,
      0.14581663167505537,
      0.14341697051301697,
      0.14105616326041084,
      0.13873347014610526,
      0.13644820082104187,
      0.1341997007318905,
      0.13198734236812643,
      0.12981051907802044,
      0.12766864136124037,
      0.1255611341348947,
      0.12348743464531475,
      0.12144699142538125,
      0.11943926369475788,
      0.11746372033696212,
      0.11551983966450503,
      0.11360710908058518,
      0.11172502465545878,
      0.10987309104924531,
      0.10805082107436693,
      0.10625773585098253,
      0.10449336429594785,
      0.10275724313408599,
      0.10104891680173286,
      0.09936793722323074,
      0.09771386366353384,
      0.09608626267556095,
      0.0944847080022598,
      0.09290878015967487,
      0.09135806673030776,
      0.08983216213985958,
      0.08833066724167281,
      0.08685318936527005,
      0.08539934244479648,
      0.08396874663623057,
      0.0825610281885347,
      0.08117581962277473,
      0.07981275940508455,
      0.07847149187628126,
      0.07715166719306062,
      0.07585294116555184,
      0.07457497511854358,
      0.07331743595051146,
      0.0720799959582765,
      0.07086233278634001,
      0.06966412920130316,
      0.06848507322226575,
      0.06732485780263067,
      0.06618318095933749,
      0.06505974556462595,
      0.06395425923153682,
      0.06286643454493107,
      0.06179598853749771,
      0.060742642777304776,
      0.059706123319210026,
      0.058686160749466344,
      0.057682490008168004,
      0.05669485025725572,
      0.055722984871748114,
      0.05476664132288697,
      0.05382557129930336,
      0.052899530398680644,
      0.051988278002649366,
      0.05109157746478234,
      0.05020919590939076,
      0.04934090436651397,
      0.0484864774883307,
      0.04764569349577415,
      0.046818334237423646,
      0.04600418500415401,
      0.04520303456736414,
      0.04441467503232748,
      0.04363890196586489,
      0.0428755140945742,
      0.04212431342230231,
      0.04138510518221868,
      0.04065769764504276,
      0.03994190223176235,
      0.03923753339652723,
      0.038544408412913476,
      0.03786234767709787,
      0.0371911743385189,
      0.0365307143901177,
      0.03588079679800093,
      0.035241253038018526,
      0.034611917430975,
      0.033992626858809674,
      0.03338322082181138,
      0.032783541486345984,
      0.03219343350769491,
      0.03161274403454589,
      0.031041322499926572,
      0.030479020860313566,
      0.02992569346898357,
      0.029381197073073084,
      0.02884539062923518,
      0.02831813531211778,
      0.027799294614370623,
      0.027288734181902724,
      0.026786321765685076,
      0.02629192735985704,
      0.02580542292216808,
      0.025326682382198908,
      0.024855581784332528,
      0.024391999133415415,
      0.023935814401057093,
      0.0234869094819961,
      0.023045168139085862,
      0.022610476012587182,
      0.022182720668854173,
      0.02176179131424342,
      0.02134757895943298,
      0.0209399763377047,
      0.0205388779905274,
      0.02014418010277907,
      0.019755780477630023,
      0.019373578696298105,
      0.018997475794358742,
      0.018627374408642313,
      0.018263178681696097,
      0.017904794300107642,
      0.017552128595320793,
      0.01720509025693669,
      0.016863589471246845,
      0.016527537861448796,
      0.01619684847878325,
      0.015871435690457073,
      0.0155512153466792,
      0.01523610457801736,
      0.014926021794871156,
      0.014620886806448125,
      0.014320620595529254,
      0.014025145415771339,
      0.013734384862086113,
      0.013448263742932677,
      0.01316670803342416,
      0.012889644826661365,
      0.012617002487073455,
      0.0123487105027876,
      0.012084699380782762,
      0.01182490075630859,
      0.01156924733425947,
      0.011317673134494326,
      0.011070113010032209,
      0.010826502919726692,
      0.010586779734201687,
      0.010350881458932794,
      0.0101187470227648,
      0.009890316420157306,
      0.00966553063475759,
      0.009444331471392996,
      0.009226661734859153,
      0.009012464967419415,
      0.008801685774263783,
      0.008594269727154326,
      0.008390163055282267,
      0.008189313045048411,
      0.007991667680494634,
      0.0077971758526623625,
      0.00760578736900107,
      0.0074174525019480115,
      0.007232122639889806,
      0.007049749790861158,
      0.00687028671238174,
      0.006693686980635631,
      0.006519904947995091,
      0.006348895703897328,
      0.006180614911354542,
      0.0060150190654596255,
      0.005852065297179026,
      0.005691711510551423,
      0.005533916261851825,
      0.005378638686086413,
      0.005225838629223463,
      0.00507547653504927,
      0.0049275135188681886,
      0.004781911316748339,
      0.0046386322435409445,
      0.004497639121172605,
      0.004358895565293031,
      0.004222365696145519,
      0.00408801418858114,
      0.003955806406968577,
      0.0038257080465739523,
      0.0036976853614912367,
      0.0035717053247828266,
      0.0034477353334048644,
      0.0033257432138629347,
      0.003205697509376049,
      0.0030875671464861997,
      0.00297132163745383,
      0.0028569309540090364,
      0.0027443653398490295,
      0.002633595696413582,
      0.002524593379433962,
      0.0024173301438949234,
      0.002311778230067214,
      0.002207910420156355,
      0.0021056998422657905,
      0.0020051200367083295,
      0.0019061450111944487,
      0.0018087491514229227,
      0.0017129072350505418,
      0.0016185945617820843,
      0.00152578668457475,
      0.0014344596126215038,
      0.0013445896981272658,
      0.0012561536006897446,
      0.0011691285200940624,
      0.0010834919478661005,
      0.0009992217442116827,
      0.0009162959936851883,
      0.0008346933265776222,
      0.0007543925866956577,
      0.000675373161997832,
      0.0005976145536739975,
      0.0005210966328720362,
      0.0004457994851786637,
      0.00037170365703217083,
      0.0002987900602611607,
      0.00022703978890024754,
      0.0001564342676024607,
      8.695532523616855e-05,
      1.858499611824366e-05,
      -4.869453142506387e-05,
      -0.00011490067313963896,
      -0.00018005046649335763,
      -0.0002441607011030519,
      -0.0003072480546942542,
      -0.0003693288404179412,
      -0.0004304191217918926,
      -0.0004905347377316692,
      -0.0005496912881308108,
      -0.0006079039409767488,
      -0.000665187841600705,
      -0.0007215577649367626,
      -0.0007770282818543011,
      -0.0008316137336050211,
      -0.0008853282626764969,
      -0.0009381857600931232,
      -0.0009901999581724355,
      -0.001041384210954322,
      -0.001091751832875442,
      -0.0011413157883092464,
      -0.001190088978075262,
      -0.0012380840672402335,
      -0.0012853134267428923,
      -0.0013317892138549673,
      -0.0013775234516744813,
      -0.0014225280510091888,
      -0.0014668145514321847,
      -0.00151039442774832,
      -0.0015532789249761215,
      -0.0015954791725717064,
      -0.001637006138895503,
      -0.001677870572609764,
      -0.0017180829622767955,
      -0.0017576537682084008,
      -0.001796593189993526,
      -0.0018349113720588315,
      -0.0018726182144091573,
      -0.001909723526147462,
      -0.001946236783780626,
      -0.001982167442212004,
      -0.002017524768196192,
      -0.0020523179723122764,
      -0.0020865561112917773,
      -0.0021202480091864926,
      -0.0021534022793107898,
      -0.0021860275679638015,
      -0.0022181323021271946,
      -0.0022497248370761803,
      -0.0022808132663737655,
      -0.0023114056637775333,
      -0.0023415099686224772
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334796942518906,
      10.09377533954443,
      9.84654450368791,
      9.595900515009518,
      9.344296560157991,
      9.093853382242937,
      8.846333668624668,
      8.603133237693958,
      8.365287037417556,
      8.133480219887948,
      7.908080906246822,
      7.689185398193759,
      7.476669210474411,
      7.2702395658882875,
      7.069485789952855,
      6.873925413905772,
      6.683044529751209,
      6.496329566216524,
      6.313293770826371,
      6.13349589977009,
      5.956551150150263,
      5.78213023707741,
      5.609969689092012,
      5.439890383857143,
      5.271794271912547,
      5.105653491830123,
      4.941510742186419,
      4.779489613449902,
      4.619811374226582,
      4.462778918482276,
      4.3087267538676715,
      4.158015397835251,
      4.011027448382496,
      3.868154104261279,
      3.729769220004791,
      3.5962135721979873,
      3.4677848978714563,
      3.3447305674404864,
      3.2272427468077054,
      3.115456040866571,
      3.0094386570494516,
      2.9091859576745907,
      2.814619965097833,
      2.7255781840205278,
      2.6418400659109578,
      2.5631609222873166,
      2.489288598814906,
      2.4199632921291037,
      2.3549158119050024,
      2.2938654482415473,
      2.2365037343252623,
      2.1824541272909657,
      2.1313603987286416,
      2.0828851612447776,
      2.0367100541039105,
      1.9925478862661774,
      1.950167713181431,
      1.9093786983164964,
      1.8700246632357642,
      1.831980350504803,
      1.7951389839528775,
      1.7594050144616642,
      1.724699682562969,
      1.6909581845918122,
      1.6581258650652608,
      1.6261555639073877,
      1.5950057627718204,
      1.5646392829185989,
      1.53502236212723,
      1.50612399779805,
      1.4779157378750107,
      1.450371707779548,
      1.4234676346166317,
      1.3971806112907659,
      1.3714920627965819,
      1.3463856050935583,
      1.3218442552284173,
      1.297850929375148,
      1.274388743931366,
      1.2514412005180207,
      1.2289922939069926,
      1.2070265683281367,
      1.1855291432650272,
      1.1644857199579237,
      1.143882690072328,
      1.1237079648971322,
      1.1039502511290815,
      1.084598776729078,
      1.0656429917447439,
      1.0470723548886125,
      1.0288764765267802,
      1.0110452045598022,
      0.9935686727549875,
      0.976437326291144,
      0.9596419316040913,
      0.9431735779419184,
      0.927023672467422,
      0.9111839319909787,
      0.8956463727199511,
      0.8804032987309055,
      0.865447290364145,
      0.8507711924035462,
      0.8363682704628839,
      0.8222324412900126,
      0.8083577273474571,
      0.7947381965456696,
      0.781368014301205,
      0.7682414738628578,
      0.7553530135671312,
      0.7426972253003966,
      0.7302688572488051,
      0.718062812623292,
      0.7060741474812863,
      0.6942980668415544,
      0.6827299196289057,
      0.6713651944487804,
      0.6601995138686495,
      0.649228629705424,
      0.6384484178999994,
      0.6278548741483477,
      0.6174440966057515,
      0.607212237895064,
      0.5971555591436989,
      0.58727045024139,
      0.5775534160700949,
      0.5680010670733509,
      0.5586101112518426,
      0.5493773487227764,
      0.5402996666513994,
      0.5313740350083392,
      0.522597503072316,
      0.5139671963701278,
      0.5054803135145692,
      0.4971341352946765,
      0.4889266634814752,
      0.48085624296564816,
      0.47292090095878586,
      0.46511848611619167,
      0.457446754202847,
      0.44990342209287026,
      0.4424862011645135,
      0.43519281841324536,
      0.4280210295447399,
      0.4209686262210087,
      0.41403344027394023,
      0.40721334611210996,
      0.40050632423702526,
      0.39391066327311497,
      0.3874246668040059,
      0.38104655741904087,
      0.3747745214860955,
      0.36860673670472105,
      0.36254138924601687,
      0.35657668439068846,
      0.3507108531561176,
      0.34494215897618496,
      0.3392690141779145,
      0.33368990953054206,
      0.3282032998568968,
      0.32280762936537105,
      0.3175013470479918,
      0.3122829159851748,
      0.3071508190141771,
      0.30210357686432066,
      0.297139759981516,
      0.29225795430138446,
      0.2874567604452562,
      0.2827347884564849,
      0.27809047860148955,
      0.27352222639474627,
      0.2690285581121846,
      0.2646080918320003,
      0.2602595129063564,
      0.2559815578038035,
      0.2517730037991043,
      0.24763266195669864,
      0.24355944073938207,
      0.23955263245648212,
      0.23561155919989932,
      0.23173539177919752,
      0.22792321120789327,
      0.22417404748711792,
      0.22048690452631656,
      0.21686077620727714,
      0.2132946565921609,
      0.20978754639070066,
      0.20633845681844487,
      0.20294641212306838,
      0.1996104511326159,
      0.19632954943162545,
      0.1931026595168023,
      0.18992879621931574,
      0.18680702003079416,
      0.18373642622135625,
      0.18071613777962672,
      0.17774530088895296,
      0.17482308174172312,
      0.17194866428571393,
      0.16912124878104157,
      0.16634005094688364,
      0.16360430086814326,
      0.1609132426459164,
      0.15826613391277036,
      0.15566224544734172,
      0.15310086077305338,
      0.15058127585510425,
      0.14810279893910322,
      0.14566475007383659,
      0.14326644415632106,
      0.14090709954061592,
      0.13858593389434357,
      0.13630222924750898,
      0.13405531308827354,
      0.1318445460863913,
      0.1296693138916963,
      0.1275290219651788,
      0.12542309176314606,
      0.12335095853993755,
      0.12131206960347223,
      0.11930588318279614,
      0.11733186780822487,
      0.11538950143839094,
      0.11347827117129064,
      0.1115976730101979,
      0.10974721162658935,
      0.10792639990339031,
      0.1061347588104908,
      0.1043718173637784,
      0.1026371124457231,
      0.10093018848638691,
      0.0992505975071771,
      0.09759789883969304,
      0.09597165926427255,
      0.09437145244820874,
      0.09279685920917234,
      0.09124746720503997,
      0.08972287076824993,
      0.08822267083939606,
      0.08674647484743445,
      0.08529389694963631,
      0.08386455732826978,
      0.08245808252632149,
      0.08107410503256185,
      0.07971226332021918,
      0.07837220184007683,
      0.07705357080286725,
      0.07575602608712058,
      0.07447922917653567,
      0.07322284697179342,
      0.07198655192030903,
      0.07077002174323609,
      0.06957293936630216,
      0.06839499282475033,
      0.06723587516133853,
      0.06609528461642199,
      0.064972924121331,
      0.06386850141659098,
      0.06278172899033967,
      0.06171232400260034,
      0.060660008207800445,
      0.05962450777012083,
      0.05860555333379761,
      0.057602879903350654,
      0.05661622684171803,
      0.05564533746801985,
      0.05468995936368579,
      0.053749844258291636,
      0.052824747832905035,
      0.05191442966178329,
      0.05101865325501519,
      0.050137185851691086,
      0.049269798367148294,
      0.04841626564045229,
      0.047576365907625325,
      0.04674988114699988,
      0.045936596808364136,
      0.04513630167986313,
      0.044348787932530685,
      0.043573851161970684,
      0.04281129031280401,
      0.04206090746613754,
      0.04132250789039752,
      0.040595899929293335,
      0.039880895079697276,
      0.03917730784299483,
      0.03848495570265748,
      0.037803659030087075,
      0.03713324123422038,
      0.03647352839125413,
      0.035824349365012775,
      0.035185535750414394,
      0.03455692188451963,
      0.03393834477297297,
      0.033329644039117166,
      0.03273066185804863,
      0.03214124297037041,
      0.03156123455938112,
      0.030990486398734484,
      0.030428850450123862,
      0.02987618111214817,
      0.029332335102967396,
      0.028797171479342583,
      0.028270551613860224,
      0.027752339047495998,
      0.027242399375841223,
      0.026740600518905394,
      0.026246812395453057,
      0.02576090705033873,
      0.025282758637639614,
      0.024812243188948264,
      0.024349238828213635,
      0.023893625587473717,
      0.023445285427097593,
      0.023004102212941354,
      0.022569961611471637,
      0.022142751240295303,
      0.02172236035048607,
      0.02130868011197712,
      0.02090160331606053,
      0.02050102453133602,
      0.020106840034221987,
      0.019718947739919997,
      0.01933724717801479,
      0.01896163949297503,
      0.018592027292409167,
      0.018228314863498393,
      0.017870408045981896,
      0.017518214200306366,
      0.01717164201011001,
      0.01683060174127028,
      0.016495005106568005,
      0.016164765135830043,
      0.015839796452260906,
      0.015520014829387196,
      0.01520533745915231,
      0.014895682747797036,
      0.014590970562410795,
      0.014291122081931378,
      0.01399605960900499,
      0.013705706717116229,
      0.013419988243414678,
      0.01313883019100344,
      0.012862159769738073,
      0.012589905365241525,
      0.012321996397877849,
      0.012058363586717118,
      0.01179893868402901,
      0.011543654474859678,
      0.01129244492055701,
      0.011045244925033972,
      0.010801990454852129,
      0.010562618618741871,
      0.010327067509914818,
      0.010095275931481736,
      0.009867183881459955,
      0.009642732323769427,
      0.009421863204709098,
      0.009204519346001888,
      0.008990644462264524,
      0.00878018311183075,
      0.008573080879990015,
      0.008369284127294199,
      0.008168740192702209,
      0.007971396995762464,
      0.007777203564191491,
      0.0075861096935221405,
      0.007398065858481647,
      0.007213023241317658,
      0.007030934049011586,
      0.006851751166667613,
      0.006675428068059837,
      0.0065019191546685446,
      0.006331179551187814,
      0.006163164999572983,
      0.005997832085927423,
      0.005835137962042177,
      0.0056750405588847875,
      0.005517498395961774,
      0.005362470641345575,
      0.005209917212054464,
      0.005059798616771814,
      0.004912075959781331,
      0.004766711055761945,
      0.004623666222418926,
      0.0044829044187576494,
      0.004344389207999186,
      0.004208084779928211,
      0.004073955803914605,
      0.003941967589253825,
      0.003812085955282943,
      0.003684277288022084,
      0.003558508548359279,
      0.0034347470594923244,
      0.0033129608240322,
      0.003193118417389937,
      0.003075188832712638,
      0.0029591414288537335,
      0.0028449461919257436,
      0.0027325735097571088,
      0.0026219942970171304,
      0.0025131799827857186,
      0.002406102423960015,
      0.0023007338774330825,
      0.002197047069174179,
      0.0020950151063058066,
      0.0019946116579337863,
      0.0018958106797743344,
      0.001798586655721736,
      0.0017029143892196446,
      0.0016087691271256823,
      0.00151612637357037,
      0.001424962200840024,
      0.0013352529328023162,
      0.0012469754081186211,
      0.0011601068066241674,
      0.0010746246806847876,
      0.0009905069434006514,
      0.0009077317881959364,
      0.0008262778259638336,
      0.0007461239244994821,
      0.0006672493739829785,
      0.0005896336654708134,
      0.0005132567158622663,
      0.00043809878895563535,
      0.00036414041161434715,
      0.000291362481889481,
      0.000219746047563648,
      0.00014927260079700916,
      7.992389738069121e-05,
      1.1681999488608602e-05,
      -5.5470743753146347e-05,
      -0.0001215516639699714,
      -0.00018657786675915336,
      -0.0002505661844545942,
      -0.0003135332360643666,
      -0.00037549526310653634,
      -0.00043646837181696857,
      -0.0004964683226651955,
      -0.0005555106622292387,
      -0.0006136106953703299,
      -0.0006707834751059692,
      -0.0007270438044307049,
      -0.0007824062119883778,
      -0.0008368850090093056,
      -0.0008904942880925746,
      -0.0009432478579263563,
      -0.000995159488102822,
      -0.001046242632398264,
      -0.001096510507280594,
      -0.0011459761181648906,
      -0.001194652189527314,
      -0.0012425514314780995,
      -0.001289686137655921,
      -0.0013360685581222257,
      -0.0013817106292698005,
      -0.0014266242689522297,
      -0.0014708210094715626,
      -0.0015143123867678702,
      -0.001557109673749432,
      -0.0015992239245111374,
      -0.0016406660433644332,
      -0.0016814467767794234,
      -0.0017215766089989117,
      -0.0017610659178495408,
      -0.0017999249902191483,
      -0.0018381638141582223,
      -0.0018757922580394438,
      -0.0019128201792009843,
      -0.001949257144733706,
      -0.0019851125963765794,
      -0.0020203957473275726,
      -0.002055115784042608,
      -0.0020892817368689037,
      -0.0021229023945641963,
      -0.0021559864724470783,
      -0.0021885425956572504,
      -0.002220579091324983,
      -0.002252104256734479,
      -0.0022831261372348397,
      -0.0023136528634186224,
      -0.0023436923775344513
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334793314557542,
      10.093762720787959,
      9.846516934427887,
      9.595853338695855,
      9.344226541090086,
      9.093758372815387,
      8.846212365719923,
      8.60298513540669,
      8.365112124973383,
      8.133278737489011,
      7.907853223052071,
      7.68893192671393,
      7.4763903494849915,
      7.269935672313572,
      7.069157172955925,
      6.873572332046599,
      6.682667217174959,
      6.495928288429531,
      6.312868862771872,
      6.133047854868226,
      5.956080669071267,
      5.781638262988537,
      5.609457399291097,
      5.439359259933069,
      5.271246059653036,
      5.1050900302283,
      4.9409340611351595,
      4.778902145532911,
      4.619216386891592,
      4.462179910351396,
      4.308127202824678,
      4.157418787416146,
      4.010437357606696,
      3.867574003894038,
      3.7292023256315483,
      3.5956627939227443,
      3.4672527963651985,
      3.344219320603993,
      3.2267541300004328,
      3.114991419982637,
      3.0089988376324497,
      2.908771249491172,
      2.8142300230009973,
      2.7252120446549455,
      2.641496216753259,
      2.562837702267499,
      2.488984238478781,
      2.419675910626376,
      2.354643512831143,
      2.293606247957851,
      2.236255410527016,
      2.1822142083861356,
      2.131126768805319,
      2.0826558347855717,
      2.036483158854725,
      1.9923219691195833,
      1.9499416982501423,
      1.909151681176421,
      1.8697959578455812,
      1.8317494713544344,
      1.7949055067638846,
      1.7591686244683031,
      1.7244601848739023,
      1.6907154679288412,
      1.65787987557798,
      1.625906287850034,
      1.594753213703575,
      1.5643834926350588,
      1.5347633758948143,
      1.5058618691674628,
      1.47765054616888,
      1.4501035452108968,
      1.423196765843045,
      1.396907416112487,
      1.3712170055106119,
      1.3461090035327197,
      1.3215663320428517,
      1.2975718441844424,
      1.2741086157565065,
      1.251160120998264,
      1.2287103364902991,
      1.2067437945022588,
      1.1852456065936847,
      1.1642014683292021,
      1.1435977788246927,
      1.123422461620161,
      1.103664217890946,
      1.0843122759091086,
      1.0653560759904057,
      1.0467850709448483,
      1.028588867422531,
      1.010757310307319,
      0.9932805308842799,
      0.9761489726269087,
      0.9593534012351417,
      0.9428849051638648,
      0.9267348908678014,
      0.9108950748300334,
      0.8953574728445366,
      0.8801143882753482,
      0.8651584010007295,
      0.8504823555325368,
      0.8360796480487115,
      0.8219442003398391,
      0.808069982670071,
      0.7944510291132811,
      0.7810814833132479,
      0.7679556241914252,
      0.7550678811474538,
      0.7424128399696021,
      0.729985244311935,
      0.7177799950332866,
      0.7057921463744616,
      0.6940169017282264,
      0.6824496095873289,
      0.6710857572733446,
      0.6599209668083165,
      0.6489509898609985,
      0.6381717019506905,
      0.6275790980688493,
      0.6171692756024199,
      0.6069383863564487,
      0.5968826913951291,
      0.5869985804776178,
      0.5772825582803476,
      0.5677312350344336,
      0.5583413185396274,
      0.5491096085636531,
      0.5400329919945055,
      0.5311084385145924,
      0.522332997172623,
      0.5137037931638393,
      0.5052180246869478,
      0.49687301599758393,
      0.4886668278920291,
      0.48059776465815923,
      0.4726638278129853,
      0.46486284967528596,
      0.45719257548588754,
      0.449650715076337,
      0.44223497549697915,
      0.4349430808380665,
      0.4277727846971161,
      0.42072187736185784,
      0.41378818978530507,
      0.40696959568010965,
      0.40026408766668387,
      0.393669970607226,
      0.38718553634526737,
      0.38080899992731315,
      0.374538542839989,
      0.36837233960072935,
      0.3623085743228472,
      0.3563454510119592,
      0.3504811996250141,
      0.3447140880582518,
      0.33904253538768164,
      0.3334650271074903,
      0.32798001478167843,
      0.32258594034133875,
      0.31728125121725037,
      0.31206440968706667,
      0.3069338979913306,
      0.301888238244708,
      0.2969260006245852,
      0.2920457698924502,
      0.2872461459309519,
      0.28252574030643246,
      0.27788299562573243,
      0.27331630560385206,
      0.2688241952898528,
      0.26440528184639633,
      0.26005825000324606,
      0.2557818359334793,
      0.2515748166609296,
      0.2474360031428631,
      0.24336430905181716,
      0.23935903381440185,
      0.23541949443158405,
      0.23154485848075312,
      0.22773420473455355,
      0.22398656169252862,
      0.2203009323936276,
      0.21667631005548543,
      0.21311168834277464,
      0.20960606744966667,
      0.20615845850231998,
      0.20276788572727214,
      0.19943338592617338,
      0.19615393128927625,
      0.19292847590076612,
      0.18975603583391512,
      0.18663567237981651,
      0.18356648138399542,
      0.1805475861368319,
      0.17757813296478145,
      0.1746572881461457,
      0.1717842356506524,
      0.16895817589963522,
      0.16617832442224986,
      0.1634439113785569,
      0.16075418092928057,
      0.15810839076366226,
      0.15550581153548393,
      0.15294572681709206,
      0.15042743243330084,
      0.14795023659177886,
      0.14551345952604922,
      0.14311643294991208,
      0.1407584682001705,
      0.138438775961724,
      0.13615660070958094,
      0.13391124533094023,
      0.13170205448463587,
      0.12952840338623495,
      0.12738969058828753,
      0.12528533323428362,
      0.12321476368679155,
      0.12117742729435894,
      0.11917278118134972,
      0.11720029300622307,
      0.11525944027588562,
      0.11334970992753889,
      0.11147059779441285,
      0.10962160842541502,
      0.10780225460199368,
      0.10601205748649599,
      0.10425054614918822,
      0.10251725749054093,
      0.10081173598581725,
      0.09913353377951269,
      0.09748221033469916,
      0.09585733233007429,
      0.09425847359373392,
      0.09268521493445384,
      0.09113714412401384,
      0.08961385566802356,
      0.08811495062571503,
      0.086640036617615,
      0.08518872777675213,
      0.08376064433130802,
      0.08235541286091247,
      0.08097266596738552,
      0.07961204232981411,
      0.07827318649796093,
      0.07695574877355321,
      0.07565938504174904,
      0.07438375689021948,
      0.07312853137312195,
      0.0718933810144131,
      0.07067798356675813,
      0.06948202203461691,
      0.06830518449664336,
      0.06714716429345115,
      0.06600765963338881,
      0.06488637360101106,
      0.06378301394804696,
      0.06269729323241248,
      0.061628928822180094,
      0.06057764252300564,
      0.05954316056538386,
      0.058525213703707106,
      0.05752353702053004,
      0.056537869807442666,
      0.05556795566494522,
      0.05461354230379257,
      0.053674381501468874,
      0.052750228953193784,
      0.05184084432198676,
      0.05094599122735584,
      0.050065437029485634,
      0.0491989528817499,
      0.0483463135082292,
      0.047507297373484005,
      0.04668168643031303,
      0.04586926611297108,
      0.0450698255284003,
      0.044283156897621384,
      0.04350905584901746,
      0.042747321358577166,
      0.041997755639282326,
      0.04126016408116286,
      0.040534355146047314,
      0.039820140382334,
      0.03911733439431404,
      0.03842575466707354,
      0.03774522173348152,
      0.037075558949012176,
      0.03641659251868101,
      0.035768151424042535,
      0.035130067325675494,
      0.03450217462545751,
      0.03388431055217512,
      0.033276314742598054,
      0.0326780294364324,
      0.03208929942013906,
      0.03150997191091864,
      0.030939896596188968,
      0.030378925682629575,
      0.02982691370695038,
      0.029283717489270986,
      0.028749196247843507,
      0.0282232112142557,
      0.027705625924434804,
      0.027196306321198894,
      0.026695120287358876,
      0.026201937809816486,
      0.025716631062629267,
      0.025239074205971018,
      0.024769143370990503,
      0.024306716766830914,
      0.023851674439308072,
      0.023403898558589237,
      0.022963273040743543,
      0.022529683551371308,
      0.022103017706713284,
      0.02168316492976197,
      0.021270016387565455,
      0.020863464959629402,
      0.02046340526521207,
      0.020069733638817984,
      0.019682348048475358,
      0.019301148064940692,
      0.018926034894539773,
      0.018556911284889597,
      0.018193681684444914,
      0.017836251938013192,
      0.017484529299473705,
      0.01713842263466019,
      0.016797842305834327,
      0.016462700049406084,
      0.016132908941577664,
      0.015808383592117847,
      0.015489039904853785,
      0.015174795206388113,
      0.014865567978717766,
      0.014561278087073708,
      0.014261846732853122,
      0.013967196354512957,
      0.013677250482521653,
      0.013391934050125079,
      0.01311117307344925,
      0.012834894851456929,
      0.012563027890421245,
      0.012295501699980612,
      0.01203224691120195,
      0.011773195316088591,
      0.011518279797215513,
      0.011267434344479835,
      0.011020594044159289,
      0.010777694881517494,
      0.010538673814043118,
      0.010303468975992313,
      0.01007201947363876,
      0.009844265324655448,
      0.009620147502511403,
      0.009399608016694037,
      0.009182589685227656,
      0.00896903617104143,
      0.00875889226339581,
      0.008552103559571382,
      0.00834861639777806,
      0.008148378021671203,
      0.007951336672606741,
      0.0077574412335919074,
      0.007566641493213732,
      0.007378888063130626,
      0.007194132247723559,
      0.007012326215724832,
      0.00683342290150128,
      0.006657375928416395,
      0.006484139706907948,
      0.00631366934447139,
      0.006145920698547701,
      0.005980850222237421,
      0.005818415194322799,
      0.005658573576918946,
      0.0055012839586392635,
      0.0053465055638682825,
      0.005194198327931227,
      0.005044322841818154,
      0.004896840267409456,
      0.004751712401313762,
      0.004608901531155961,
      0.00446837073940235,
      0.004330083605584208,
      0.0041940043943292996,
      0.004060097819484387,
      0.003928329121882698,
      0.003798664213022774,
      0.0036710694393138833,
      0.003545511748901333,
      0.0034219586829766623,
      0.0033003782416984265,
      0.003180738968816013,
      0.0030630098279603975,
      0.0029471602398054896,
      0.0028331602544897846,
      0.002720980333027619,
      0.0026105913707838934,
      0.002501964805897727,
      0.0023950726153201237,
      0.0022898870774975045,
      0.002186380924475297,
      0.0020845272602962334,
      0.0019842997669792615,
      0.0018856725313279898,
      0.0017886199813483624,
      0.0016931169511969462,
      0.0015991386461558376,
      0.0015066607423910496,
      0.0014156592786568813,
      0.0013261107532314448,
      0.0012379918725236093,
      0.001151279790444655,
      0.001065952075849801,
      0.0009819867327600727,
      0.0008993619422855008,
      0.0008180562821552021,
      0.0007380487954946856,
      0.0006593186283861649,
      0.0005818454125432774,
      0.0005056090708716241,
      0.00043058993574321983,
      0.00035676857633263936,
      0.0002841257479829179,
      0.0002126426472800608,
      0.00014230090188679207,
      7.308216112372066e-05,
      4.968507656334149e-06,
      -6.205763846531193e-05,
      -0.00012801367796260027,
      -0.0001929166841101263,
      -0.0002567834890731841,
      -0.00031963066090576057,
      -0.00038147444124237383,
      -0.00044233082199270307,
      -0.0005022155251457511,
      -0.0005611441411050629,
      -0.0006191320179677224,
      -0.0006761941563703444,
      -0.0007323452685410052,
      -0.0007875998233266495,
      -0.0008419721854600037,
      -0.0008954764495998571,
      -0.0009481264700586989,
      -0.0009999359280125943,
      -0.001050918168742133,
      -0.0011010865087475502,
      -0.0011504539506013245,
      -0.001199033208821976,
      -0.0012468368869054062,
      -0.0012938773167163636,
      -0.0013401666517135265,
      -0.0013857169209049835,
      -0.0014305398279314322,
      -0.0014746470960989193,
      -0.001518050164359958,
      -0.0015607603979095044,
      -0.001602788808116807,
      -0.0016441462293397973,
      -0.0016848434316949798,
      -0.001724890889628556,
      -0.0017642988929741745,
      -0.0018030777911123876,
      -0.0018412375879022697,
      -0.0018787881405069934,
      -0.0019157391086687863,
      -0.001952100100850927,
      -0.001987880578612158,
      -0.0020230897343054975,
      -0.002057736781971355,
      -0.0020918306943130366,
      -0.0021253802571261616,
      -0.0021583942437971367,
      -0.002190881125115639,
      -0.0022228492744944756,
      -0.002254307032504086,
      -0.002285262593435904,
      -0.002315723973758219,
      -0.0023456990118441265
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334789686290865,
      10.093750099083119,
      9.846489355619928,
      9.595806142419104,
      9.344156492207556,
      9.093663325179568,
      8.846091015933956,
      8.6028369767716,
      8.364937148476562,
      8.133077182789913,
      7.907625459792629,
      7.6886783681335835,
      7.47611139420719,
      7.269631676436132,
      7.068828445578198,
      6.873219134432576,
      6.682289782111482,
      6.495526881784083,
      6.312443821558964,
      6.1325996745627895,
      5.95561005060036,
      5.7811461495947905,
      5.608944968709149,
      5.4388279946760445,
      5.270697706324042,
      5.104526428881812,
      4.940357243111847,
      4.778314545071385,
      4.618621272345074,
      4.461580780546237,
      4.307527537935767,
      4.156822071226513,
      4.009847169113412,
      3.866993813624998,
      3.7286353481750254,
      3.595111939130906,
      3.4667206237684196,
      3.3437080070970087,
      3.226265449678075,
      3.1145267378474966,
      3.0085589573126583,
      2.9083564631559873,
      2.8138399592171845,
      2.724845746880425,
      2.641152179226763,
      2.562514269378567,
      2.4886796444263006,
      2.4193882792622325,
      2.354370952162345,
      2.293346778537493,
      2.236006813588946,
      2.1819740163372323,
      2.130892869669116,
      2.0824262468819357,
      2.0362560119688697,
      1.9920958119324526,
      1.9497154561454415,
      1.9089244512470975,
      1.869567054518555,
      1.8315184094321992,
      1.7946718612647274,
      1.7589320809717803,
      1.724220548132039,
      1.6904726256092033,
      1.6576337735580895,
      1.6256569122370725,
      1.594500578394467,
      1.5641276303533684,
      1.5345043312417428,
      1.5055996949140396,
      1.4773853207977947,
      1.4498354315508826,
      1.422926061155949,
      1.3966344621160225,
      1.3709422412001404,
      1.345832730249388,
      1.3212887620552922,
      1.297293130752098,
      1.273828872201149,
      1.2508794355459503,
      1.228428780084912,
      1.2064614274418135,
      1.1849624817000532,
      1.163917633704773,
      1.1433132892997007,
      1.123137384010457,
      1.1033786139871948,
      1.0840262079017975,
      1.0650695969350874,
      1.0464982275747756,
      1.02830170197852,
      1.0104698620489092,
      0.9929928376908576,
      0.975861070961019,
      0.9590653262481692,
      0.9425966912489506,
      0.9264465717957404,
      0.9106066837231201,
      0.8950690419880872,
      0.8798259497837893,
      0.8648699868130846,
      0.8501940160146654,
      0.8357915533808054,
      0.8216565076361182,
      0.8077828002331403,
      0.7941644336605251,
      0.7807955311129534,
      0.7676703584756916,
      0.7547833364035091,
      0.7421290448503373,
      0.7297022239362758,
      0.7174977717911579,
      0.7055107409946179,
      0.6937363340522826,
      0.6821698981867147,
      0.6708069201726796,
      0.6596430213590598,
      0.6486739529861579,
      0.6378955899718116,
      0.6273039271342901,
      0.6168950611398633,
      0.6066651424128144,
      0.5966104323317302,
      0.5867273204695863,
      0.5770123114954324,
      0.5674620154234233,
      0.5580731396185762,
      0.548842483671624,
      0.5397669340862398,
      0.5308434602254426,
      0.5220691108252582,
      0.5134410105136328,
      0.5049563568883106,
      0.4966125182970415,
      0.4884076143472566,
      0.4803399085350028,
      0.472407376924279,
      0.4646078354588086,
      0.45693901871415926,
      0.4493986296425197,
      0.4419843708232625,
      0.4346939636282555,
      0.42752515970756166,
      0.42047574798291715,
      0.4135435584352711,
      0.4067264641657032,
      0.4000224730277276,
      0.3934299015843787,
      0.38694703033667327,
      0.3805720672321847,
      0.3743031891402427,
      0.36813856737947404,
      0.3620763841146985,
      0.35611484199412885,
      0.35025216993319536,
      0.3444866406012935,
      0.338816679548451,
      0.3332407672406502,
      0.32775735173350057,
      0.32236487279967524,
      0.3170617764527101,
      0.3118465239047443,
      0.3067175968414094,
      0.3016735188928052,
      0.2967128597293349,
      0.291834203233091,
      0.2870361485378472,
      0.28231730860804455,
      0.277676128469466,
      0.2731109999763943,
      0.26862044702937327,
      0.26420308594093606,
      0.25985760090969984,
      0.25558272766387397,
      0.25137724289045676,
      0.24723995731513987,
      0.24316978903399575,
      0.23916604345696785,
      0.23522803333713332,
      0.23135492338695907,
      0.2275457905399428,
      0.22379966201638488,
      0.22011553998943093,
      0.21649241715632553,
      0.21292928686382387,
      0.20942514903549653,
      0.205979014521279,
      0.2025899072383085,
      0.19925686178690458,
      0.1959788473458706,
      0.1927548198807143,
      0.18958379660683503,
      0.18646483960464597,
      0.18339704526013426,
      0.1803795371689637,
      0.17741146179185044,
      0.1744919855036223,
      0.17162029237062415,
      0.16879558272597836,
      0.1660170722195232,
      0.16328399100976204,
      0.16059558320297943,
      0.1579511063610542,
      0.15534983112115203,
      0.15279104099631127,
      0.150274032020378,
      0.14779811227421868,
      0.14536260191614755,
      0.1429668328133043,
      0.14061014821301338,
      0.13829184621376805,
      0.13601114614767043,
      0.13376731655131918,
      0.1315596793229332,
      0.12938759488281515,
      0.1272504521101758,
      0.1251476618483578,
      0.12307865242692716,
      0.12104286658583348,
      0.11903975961857077,
      0.1170687981360583,
      0.1151294589756082,
      0.11322122874196734,
      0.11134360287695336,
      0.10949608586548544,
      0.1076781905607939,
      0.10588943795150528,
      0.10412935714563584,
      0.10239748505721258,
      0.10069336629736005,
      0.0990165530587501,
      0.09736660482883905,
      0.09574308850285847,
      0.09414557801306414,
      0.09257365428111682,
      0.0910269050415334,
      0.08950492486684142,
      0.08800731498720847,
      0.08653368313025156,
      0.08508364335149464,
      0.08365681619878211,
      0.08225282825701156,
      0.08087131214664145,
      0.0795119066423087,
      0.07817425636450856,
      0.07685801182656299,
      0.07556282897094552,
      0.0742883694857592,
      0.07303430051485114,
      0.07180029456594555,
      0.07058602966726378,
      0.06939118893951673,
      0.06821546062566779,
      0.06705853797386858,
      0.06592011914502086,
      0.0647999073035837,
      0.06369761050751663,
      0.06261294138065213,
      0.06154561738424044,
      0.060495360352256035,
      0.05946189671112337,
      0.05844495729295521,
      0.05744427728028755,
      0.056459596048957325,
      0.05549065715694452,
      0.054537208476373014,
      0.05359900185149957,
      0.052675793089944085,
      0.051767341974994066,
      0.05087341214962746,
      0.04999377118400063,
      0.049128190157936694,
      0.04827644393766948,
      0.047438311142215875,
      0.04661357382505656,
      0.045802017512503165,
      0.04500343124533038,
      0.04421760749731211,
      0.04344434194461401,
      0.04268343359687239,
      0.04193468480783232,
      0.04119790092295394,
      0.04047289050820103,
      0.03975946524111638,
      0.039057439816838284,
      0.03836663190085024,
      0.03768686202929425,
      0.0370179536476481,
      0.03635973308751185,
      0.03571202939518282,
      0.035074674288576455,
      0.034447502308610135,
      0.03383035058103688,
      0.03322305891248699,
      0.032625469763188454,
      0.03203742786730362,
      0.03145878065117644,
      0.03088937784075656,
      0.03032907163193622,
      0.02977771676841532,
      0.02923516999931932,
      0.028701290550483403,
      0.028175939853777875,
      0.02765898161625497,
      0.027150281694512703,
      0.02664970802805606,
      0.026157130822828736,
      0.02567242227866989,
      0.025195456630446623,
      0.024726110012152802,
      0.02426426067199978,
      0.023809788877644417,
      0.023362576797696415,
      0.022922508313786134,
      0.022489469227896904,
      0.022063347298694618,
      0.021644031938683753,
      0.021231414431946226,
      0.0208253877563188,
      0.020425846668519067,
      0.020032687438188177,
      0.019645808128732463,
      0.019265108318760223,
      0.018890489351278426,
      0.018521854093399348,
      0.01815910689947672,
      0.017802153655918383,
      0.017450901794192498,
      0.01710526026525011,
      0.016765139379877385,
      0.01643045097888768,
      0.016101108252765926,
      0.0157770258721945,
      0.015458119812719997,
      0.015144307311620364,
      0.014835507020243277,
      0.014531638997171133,
      0.014232624324562815,
      0.01393838552405455,
      0.013648846246352075,
      0.01336393134742295,
      0.01308356700079732,
      0.012807680567055243,
      0.012536200512686483,
      0.01226905642196274,
      0.01200617908333065,
      0.011747500326295807,
      0.01149295308464157,
      0.011242471356011294,
      0.010995990216681281,
      0.010753445700384287,
      0.010514774916267722,
      0.010279916050278438,
      0.010048808186378969,
      0.009821391468223306,
      0.009597606927964457,
      0.009377396426491075,
      0.009160702934541414,
      0.008947470283340976,
      0.008737643185812124,
      0.008531167369628482,
      0.008327989224291697,
      0.008128056029782484,
      0.00793131603585715,
      0.007737718220746366,
      0.007547212320052957,
      0.007359749023814904,
      0.0071752797257481,
      0.0069937565616278894,
      0.006815132475706489,
      0.006639361271650703,
      0.006466397367342746,
      0.006296195857871515,
      0.006128712651058441,
      0.005963904281436398,
      0.0058017280644221195,
      0.005642141985837416,
      0.005485104581520531,
      0.005330575251708897,
      0.0051785139363325515,
      0.005028881224884927,
      0.00488163834811516,
      0.0047367471021660485,
      0.004594169813107515,
      0.004453869551557572,
      0.004315810064286011,
      0.004179955574433977,
      0.004046270857429358,
      0.003914721147427989,
      0.0037852722805231686,
      0.003657890840514074,
      0.0035325437669824736,
      0.0034091986710431737,
      0.003287823491499812,
      0.003168386757278186,
      0.003050857438452036,
      0.002935205167654694,
      0.0028213999618083583,
      0.0027094123787705536,
      0.002599213362917845,
      0.0024907743347467033,
      0.0023840671550256717,
      0.0022790641988287845,
      0.0021757382471102467,
      0.0020740625197273035,
      0.001974010691174169,
      0.0018755567618678884,
      0.0017786752168423006,
      0.0016833408810097924,
      0.001589529062148199,
      0.001497215409326748,
      0.0014063760145474544,
      0.0013169874272189917,
      0.0012290265236133513,
      0.0011424705116915663,
      0.0010572968352041841,
      0.0009734834350548106,
      0.0008910085863012684,
      0.000809850870136594,
      0.0007299893506923245,
      0.0006514033590838858,
      0.0005740724951545993,
      0.0004979766744359154,
      0.00042309620851214443,
      0.00034941163859332323,
      0.00027690376079477034,
      0.00020555391353934763,
      0.00013534356055603736,
      6.625456181464811e-05,
      -1.73103138125106e-06,
      -6.863078614237491e-05,
      -0.00013446207120208135,
      -0.00019924207451052796,
      -0.00026298745693698175,
      -0.0003257147932952593,
      -0.00038744029362959695,
      -0.00044818007062208555,
      -0.0005079498211090431,
      -0.0005667649640119002,
      -0.0006246407772873232,
      -0.0006815921906519729,
      -0.0007376340541123733,
      -0.0007927808973268536,
      -0.0008470470056327802,
      -0.0009004464700349639,
      -0.0009529930960078919,
      -0.0010047005085797565,
      -0.001055582104172411,
      -0.0011056511539343109,
      -0.0011549205187375356,
      -0.0012034030242673809,
      -0.0012511111993797263,
      -0.0012980574718453892,
      -0.0013442539498688324,
      -0.0013897125904963148,
      -0.0014344452083787493,
      -0.001478463464879417,
      -0.001521778742197374,
      -0.0015644022770514047,
      -0.0016063450648070281,
      -0.0016476179918417438,
      -0.0016882318146074918,
      -0.0017281969282417914,
      -0.0017675237382700744,
      -0.0018062224595804426,
      -0.0018443031439918957,
      -0.001881775605197028,
      -0.0019186496543805792,
      -0.001954934782541108,
      -0.0019906404394476524,
      -0.0020257758419114174,
      -0.002060350130657246,
      -0.0020943721899606294,
      -0.002127850879780378,
      -0.002160794854172886,
      -0.002193212748078691,
      -0.0022251128611789294,
      -0.00225650346411048,
      -0.002287392773845376,
      -0.0023177887375799614,
      -0.002347699248542211
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334786056295204,
      10.093737467517936,
      9.846461750513049,
      9.595758896139833,
      9.34408636347932,
      9.093568162229655,
      8.845969510577723,
      8.60268861769625,
      8.364761922378957,
      8.132875330202252,
      7.907397352094604,
      7.6884244189361075,
      7.47583200323061,
      7.269327201482376,
      7.0684991963909045,
      6.872865375975274,
      6.681911749780579,
      6.495124840958313,
      6.312018109545012,
      6.132150786940566,
      5.955138688529248,
      5.780653258423736,
      5.60843172920486,
      5.438295891288201,
      5.270148485882816,
      5.1039619327318695,
      4.939779506172382,
      4.777726004583562,
      4.618025200008938,
      4.460980679973131,
      4.306926894454627,
      4.156224374883041,
      4.009256005978525,
      3.866412659564718,
      3.72806742208711,
      3.594560154558606,
      3.4661875436311087,
      3.3431958099802546,
      3.2257759112412576,
      3.114061223779519,
      3.0081182722419912,
      2.9079408742754254,
      2.8134490866613535,
      2.724478637984234,
      2.6408073316366827,
      2.562190030658086,
      2.4883742516524214,
      2.4190998242698707,
      2.3540975501699792,
      2.293086457203677,
      2.235757361701861,
      2.181732973426525,
      2.1306581111889358,
      2.082195782589443,
      2.0360279851526517,
      1.9918687809560556,
      1.949488353510285,
      1.9086963787699385,
      1.8693373299983043,
      1.831286549694785,
      1.7944374426195824,
      1.7586947889545697,
      1.7239801876250307,
      1.6902290849999915,
      1.6573869987199787,
      1.6254068884048893,
      1.5942473181911774,
      1.5638711651913126,
      1.5342447054494666,
      1.5053369612218384,
      1.4771195577339538,
      1.4495668012181389,
      1.4226548605966014,
      1.396361033137796,
      1.3706670228487374,
      1.3455560233234762,
      1.3210107776941444,
      1.2970140204523142,
      1.2735487495370905,
      1.25059838847216,
      1.228146879772159,
      1.2061787333909508,
      1.1846790464412729,
      1.1636335049465423,
      1.1430285221424272,
      1.1228520450886685,
      1.1030927650214328,
      1.0837399108212986,
      1.0647829046506863,
      1.0462111864373784,
      1.028014354069335,
      1.0101822469475075,
      0.99270499250148,
      0.9755730310397527,
      0.9587771263255924,
      0.9423083653223362,
      0.926158153266276,
      0.9103182053704567,
      0.8947805363421227,
      0.8795374489783285,
      0.8645815222776412,
      0.8499056870754722,
      0.8355035518782459,
      0.8213689635729405,
      0.8074958047241052,
      0.7938780525041224,
      0.7805098132551903,
      0.7673853422599175,
      0.7544990531116941,
      0.7418455215035359,
      0.7294194842674386,
      0.7172158373268656,
      0.7052296318406296,
      0.6934560690805851,
      0.6818904957689277,
      0.6705283982675632,
      0.6593653974874306,
      0.6483972436867557,
      0.6376198117478621,
      0.6270290959655396,
      0.6166211920875883,
      0.6063922495438531,
      0.5963385297261958,
      0.5864564224830221,
      0.5767424321748084,
      0.5671931686019236,
      0.557805339028697,
      0.5485757424652951,
      0.5395012652379272,
      0.5305788762404701,
      0.5218056237461398,
      0.5131786320459676,
      0.5046950985708576,
      0.4963524352542438,
      0.4881488203130213,
      0.48008247675757965,
      0.47215135519947343,
      0.46435325510615205,
      0.45668590054056923,
      0.4491469877536161,
      0.4417342148039007,
      0.4344453000658587,
      0.42727799324296345,
      0.4202300818402334,
      0.41329939478970185,
      0.4064838046811372,
      0.3997813428202398,
      0.3931903260934233,
      0.38670902489809,
      0.38033564075173654,
      0.37406834626482505,
      0.367905310089412,
      0.36184471259082124,
      0.355884755156854,
      0.3500236658205397,
      0.3442597221192753,
      0.33859135626152714,
      0.33301704322089004,
      0.32753522779160416,
      0.3221443477454161,
      0.31684284749338715,
      0.31162918732714656,
      0.30650184826789767,
      0.3014593552374412,
      0.2965002776194346,
      0.2916231982549458,
      0.28682671560764067,
      0.28210944415707173,
      0.27746983152840743,
      0.27290626755224634,
      0.2684172748563123,
      0.264001469007344,
      0.2596575335348568,
      0.25538420378726046,
      0.2511802561159611,
      0.24704450104142545,
      0.2429758602189524,
      0.23897364403355115,
      0.2350371614762177,
      0.23116557504025362,
      0.22735796008073314,
      0.2236133429117463,
      0.21993072495861654,
      0.21630909836345347,
      0.21274745603073522,
      0.20924479778090382,
      0.20580013429117597,
      0.2024124892985035,
      0.1990808949503196,
      0.19580431737834442,
      0.19258171458395437,
      0.1894121049653806,
      0.18629455136956036,
      0.1832281506494865,
      0.18021202667084618,
      0.1772453262222552,
      0.17432721560025896,
      0.17145687891402872,
      0.16863351660885398,
      0.16585634423625317,
      0.16312459186091421,
      0.1604375036452149,
      0.15779433720424738,
      0.15519436326933622,
      0.15263686536786317,
      0.15012113925766482,
      0.14764649308155856,
      0.1452122470410984,
      0.14281773295790584,
      0.1404622940078205,
      0.13814528475461024,
      0.13586599010068398,
      0.1336236413398038,
      0.13141752914880542,
      0.12924699363639736,
      0.12711141021952463,
      0.12501018094570973,
      0.12294272836466101,
      0.12090849167329044,
      0.11890692371881979,
      0.11693748961936191,
      0.11499966529161681,
      0.11309293655508927,
      0.11121679869531244,
      0.10937075584120051,
      0.10755432075381353,
      0.10576701440765908,
      0.10400836594937495,
      0.10227791239036574,
      0.10057519823731861,
      0.09889977585339287,
      0.09725120483447976,
      0.0956290520269859,
      0.09403289146223208,
      0.09246230414342153,
      0.09091687796486876,
      0.0893962076546188,
      0.08789989447401078,
      0.08642754617490689,
      0.0849787769352061,
      0.08355320737718328,
      0.08215046426494965,
      0.0807701803861699,
      0.07941199453406218,
      0.07807555143472221,
      0.0767605015014321,
      0.07546650094662277,
      0.07419321150408957,
      0.07294030043212701,
      0.07170744033277389,
      0.07049430925773606,
      0.06930059042702684,
      0.06812597202969706,
      0.06697014755522686,
      0.06583281536769396,
      0.06471367874661044,
      0.06361244573261322,
      0.06252882917836142,
      0.06146254654996926,
      0.060413319755015335,
      0.059380875238307845,
      0.05836494390684552,
      0.05736526109344747,
      0.056381566222146455,
      0.05541360305819611,
      0.054461119512919126,
      0.053523867553386034,
      0.05260160308884246,
      0.05169408601219124,
      0.05080107999525302,
      0.04992235262319328,
      0.049057675237832554,
      0.04820682279221916,
      0.04736957383656489,
      0.04654571046991777,
      0.04573501844223245,
      0.04493728689168672,
      0.044152308269795326,
      0.0433798783841362,
      0.04261979639014598,
      0.04187186466523545,
      0.041135888774986695,
      0.04041167737815964,
      0.03969904210209692,
      0.03899779772848667,
      0.03830776203511799,
      0.03762875562033765,
      0.03696060201189255,
      0.03630312755486875,
      0.03565616142485967,
      0.03501953554394958,
      0.03439308454236061,
      0.0337766455901781,
      0.03317005853826502,
      0.032573165770198614,
      0.03198581228059378,
      0.03140784553416426,
      0.030839115417197006,
      0.03027947412827825,
      0.029728776338922784,
      0.029186879058267338,
      0.028653641538780437,
      0.028128925266876187,
      0.027612594051125542,
      0.027104513858850713,
      0.026604552864680203,
      0.026112581062090166,
      0.025628470715844093,
      0.025152096071703278,
      0.024683333602881986,
      0.024222061551767832,
      0.023768160204517632,
      0.023321511746757145,
      0.022882000260548783,
      0.022449511620553576,
      0.022023933613365538,
      0.02160515578116683,
      0.02119306936001835,
      0.02078756741362345,
      0.020388544727845816,
      0.0199958976785995,
      0.019609524398357125,
      0.019229324574289417,
      0.018855199647152897,
      0.01848705246957254,
      0.01812478743418221,
      0.017768310531689105,
      0.017417529268725477,
      0.017072352648900526,
      0.016732691153349393,
      0.016398456555178593,
      0.016069562146173885,
      0.01574592267063906,
      0.01542745415634324,
      0.01511407393543128,
      0.014805700714532759,
      0.014502254396077207,
      0.01420365627959024,
      0.01390982893744169,
      0.013620695987634579,
      0.013336182538654607,
      0.013056214761933279,
      0.01278071995238717,
      0.012509626726806647,
      0.012242864775439692,
      0.011980364821772168,
      0.0117220587897086,
      0.011467879606595488,
      0.011217761334338761,
      0.010971639069964083,
      0.01072944901542627,
      0.010491128322546854,
      0.010256615241020266,
      0.010025848952501415,
      0.009798769491025146,
      0.009575317953045826,
      0.009355436368066345,
      0.009139067757500365,
      0.008926156000042765,
      0.008716645796015018,
      0.008510482819361873,
      0.008307613631703499,
      0.00810798556168766,
      0.00791154681005172,
      0.007718246398879916,
      0.007528034257968118,
      0.007340861015487626,
      0.007156678052466279,
      0.006975437674530003,
      0.006797092880124968,
      0.006621597379656041,
      0.006448905604654466,
      0.0062789727962140884,
      0.006111754854571738,
      0.005947208446127733,
      0.005785290941278735,
      0.0056259602282996935,
      0.0054691750122925755,
      0.00531489468479205,
      0.005163079189959226,
      0.00501368924911977,
      0.004866685990001032,
      0.004722031252573786,
      0.004579687464442046,
      0.004439617665102656,
      0.004301785545472276,
      0.0041661554325308145,
      0.0040326921875460265,
      0.0039013612016634393,
      0.0037721283807862914,
      0.0036449602663988306,
      0.0035198238277454777,
      0.003396686523151484,
      0.0032755164201850985,
      0.003156282166000803,
      0.003038952800326469,
      0.0029234979138778997,
      0.002809887579679805,
      0.0026980922871857717,
      0.002588083055119431,
      0.0024798313557472334,
      0.002373309028275496,
      0.0022684885246664456,
      0.0021653427060577095,
      0.0020638447171001436,
      0.0019639683512704493,
      0.001865687540773629,
      0.0017689767760125498,
      0.0016738111135062963,
      0.0015801658107210746,
      0.0014880165408071376,
      0.0013973394369102502,
      0.0013081110302261645,
      0.0012203081770658568,
      0.001133908069783878,
      0.0010488883380765403,
      0.0009652268720232424,
      0.0008829019387657558,
      0.0008018922119322549,
      0.0007221766560376184,
      0.0006437345836741495,
      0.0005665457271522127,
      0.0004905900570798122,
      0.0004158478436516887,
      0.0003422997510280775,
      0.0002699267613070261,
      0.00019870999172617827,
      0.0001286309196723158,
      5.967139888191462e-05,
      -8.18632273117805e-06,
      -7.495988270609435e-05,
      -0.00014066668868717425,
      -0.00020532382785500567,
      -0.00026894796863772766,
      -0.0003315556296179923,
      -0.00039316310450417444,
      -0.0004537863606171389,
      -0.0005134410953702684,
      -0.0005721428168717635,
      -0.0006299067138966048,
      -0.0006867477729202388,
      -0.0007426807796157488,
      -0.0007977201607482615,
      -0.0008518802697001595,
      -0.0009051751184086194,
      -0.0009576184832103474,
      -0.0010092239590505409,
      -0.001060005044681668,
      -0.0011099748456634773,
      -0.001159146310347451,
      -0.0012075322234510247,
      -0.001255145097245649,
      -0.0013019973352741557,
      -0.0013481010899372638,
      -0.001393468259615681,
      -0.0014381106433724838,
      -0.0014820398726396737,
      -0.001525267272745638,
      -0.0015678040407745408,
      -0.0016096612004399338,
      -0.001650849632659244,
      -0.0016913800674082428,
      -0.0017312630177355563,
      -0.0017705088401155484,
      -0.0018091276796270463,
      -0.0018471294844049334,
      -0.0018845241145758133,
      -0.0019213213747976106,
      -0.0019575307280868125,
      -0.0019931616130618216,
      -0.002028223270971903,
      -0.00206272481379027,
      -0.0020966751901533433,
      -0.002130083239354478,
      -0.0021629575353040425,
      -0.0021953066875400303,
      -0.0022271389738579943,
      -0.002258462697708523,
      -0.0022892859151885476,
      -0.002319616651107677,
      -0.002349462828918794
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334782414501415,
      10.093724797283883,
      9.846434069056803,
      9.595711528581631,
      9.344016061306046,
      9.09347276888938,
      8.845847716179627,
      8.602539911733,
      8.36458629405136,
      8.132673020240533,
      7.907168731191656,
      7.688169899632553,
      7.475551985946474,
      7.269022043231653,
      7.068169208569245,
      6.872510823183197,
      6.681532867660058,
      6.4947218981437755,
      6.311591444642015,
      6.131700897276022,
      5.954666277103483,
      5.780159271915226,
      5.60791734879838,
      5.4377626037334155,
      5.269598041210576,
      5.103396174419571,
      4.939200471362742,
      4.77713613410943,
      4.617427773199853,
      4.460379207515836,
      4.306324867433893,
      4.155625287798162,
      4.008663448456823,
      3.865830113268542,
      3.7274981121962636,
      3.594006999423801,
      3.4656531106074193,
      3.342682282220039,
      3.2252850679911584,
      3.1135944336666297,
      3.007676340703446,
      2.9075240684674433,
      2.8130570271885382,
      2.724110372174302,
      2.6404613551717593,
      2.5618646892201236,
      2.4880677811613947,
      2.418810310494594,
      2.353823108863249,
      2.2928251156168495,
      2.23550687292291,
      2.181490885890093,
      2.130422300537839,
      2.0819642594487986,
      2.035798901272944,
      1.9916407011850534,
      1.949260214948809,
      1.9084672862526724,
      1.8691066031192036,
      1.8310537063909924,
      1.7942020597360435,
      1.7584565525030555,
      1.7237389021999054,
      1.6899846381993986,
      1.6571393354397643,
      1.625155993841296,
      1.5939932049593386,
      1.5636138644793238,
      1.533984261050475,
      1.5050734253824096,
      1.4768530082007039,
      1.4492974001391823,
      1.422382904570638,
      1.3960868639105188,
      1.3703910793846943,
      1.345278606276282,
      1.3207320976942842,
      1.296734229705998,
      1.2732679613139908,
      1.250316690328579,
      1.2278643421868638,
      1.205895415951263,
      1.1843950016817264,
      1.1633487800946896,
      1.1427431711828404,
      1.1225661346366453,
      1.1028063564531745,
      1.083453065908483,
      1.0644956754199242,
      1.0459236190041583,
      1.0277264905739216,
      1.0098941262054533,
      0.99241665176183,
      0.975284506256215,
      0.9584884522654168,
      0.9420195757659805,
      0.9258692815019285,
      0.9100292840686055,
      0.8944915976235428,
      0.8792485245231333,
      0.8642926434755085,
      0.8496169725603535,
      0.8352151860859891,
      0.8210810718465364,
      0.8072084749759608,
      0.7935913483238254,
      0.7802237826740809,
      0.7671000227271255,
      0.7542144755430801,
      0.7415617122934066,
      0.7291364669986045,
      0.7169336334453404,
      0.7049482612386411,
      0.6931755505885805,
      0.681610847304762,
      0.6702496375082423,
      0.6590875416148823,
      0.6481203093270849,
      0.6373438153323328,
      0.6267540534474344,
      0.6163471183182627,
      0.6061191585019483,
      0.5960664357544594,
      0.5861853395083295,
      0.5764723741919803,
      0.5669241493364456,
      0.5575373719729172,
      0.5483088409075189,
      0.5392354419530954,
      0.5303141438854664,
      0.5215419943580507,
      0.512916117422849,
      0.5044337103400843,
      0.4960922286000483,
      0.48788990879763805,
      0.47982493337841275,
      0.4718952274982509,
      0.4640985742201678,
      0.4564326871154802,
      0.4488952555249582,
      0.44148397315808313,
      0.4341965553088211,
      0.42703074972596894,
      0.4199843427179402,
      0.4130551625659121,
      0.40624108103531753,
      0.39954015282560673,
      0.39295069529139254,
      0.3864709685920193,
      0.38009916768037644,
      0.3738334609764461,
      0.36767201443231634,
      0.3616130065541513,
      0.3556546375360519,
      0.3497951346080031,
      0.3440327798855653,
      0.33836601226263413,
      0.3327933017040247,
      0.3273130896418838,
      0.3219238114541413,
      0.31662391035630955,
      0.3114118454272319,
      0.3062860969983298,
      0.30124519144712997,
      0.2962876980852718,
      0.2914121986607055,
      0.2866172909541737,
      0.2819015909981821,
      0.2772635485846721,
      0.2727015517743674,
      0.2682141218443412,
      0.26379987357550133,
      0.2594574899786945,
      0.2551857060071685,
      0.25098329781415196,
      0.24684907555963406,
      0.24278196383289313,
      0.23878127671603744,
      0.23484632039258813,
      0.23097625542487568,
      0.22717015592662382,
      0.22342704715751663,
      0.21974593001382464,
      0.2161257963381363,
      0.21256563878442924,
      0.20906445690607833,
      0.20562126115828092,
      0.20223507516219605,
      0.19890492888041908,
      0.1956297852595199,
      0.19240860426260142,
      0.18924040552398355,
      0.1861242525837279,
      0.18305924259909065,
      0.18004449983532123,
      0.17707917115645533,
      0.1741624230620091,
      0.1712934398005136,
      0.16847142179746918,
      0.16569558464107345,
      0.16296515847576387,
      0.1602793873897012,
      0.15763752890201596,
      0.1550388537211153,
      0.1524826452964883,
      0.14996819944957823,
      0.14749482420991392,
      0.14506183983804877,
      0.14266857806193714,
      0.14031438208395486,
      0.1379986064361173,
      0.1357206135747007,
      0.13347967934878674,
      0.13127505001003034,
      0.12910603669490986,
      0.12697199617281169,
      0.12487231815218305,
      0.12280641710753618,
      0.12077372698023844,
      0.1187736973917358,
      0.11680579116967243,
      0.1148694829112944,
      0.11296425757967281,
      0.11108960978314206,
      0.1092450433856521,
      0.10743007078490804,
      0.10564421298206522,
      0.10388699909473928,
      0.10215796611974232,
      0.10045665880463701,
      0.09878262935439162,
      0.09713543760867424,
      0.09551465036673307,
      0.09391984173506167,
      0.09235059291441323,
      0.09080649189055355,
      0.08928713338367995,
      0.08779211871286652,
      0.08632105577901314,
      0.0848735589562146,
      0.08344924875751551,
      0.08204775206341934,
      0.0806687018347432,
      0.07931173693341209,
      0.07797650222158267,
      0.07666264824631358,
      0.07536983128838777,
      0.07409771316752634,
      0.07284596124867991,
      0.07161424827116422,
      0.07040225232802848,
      0.06920965670543455,
      0.06803614980460232,
      0.06688142514284649,
      0.06574518111895879,
      0.06462712106342751,
      0.0635269531480792,
      0.06244439030997163,
      0.061379150021470555,
      0.06033095443611264,
      0.05929953009100019,
      0.058284607936912966,
      0.057285923337126975,
      0.05630321587925033,
      0.05533622944443041,
      0.054384712034895144,
      0.053448415652077454,
      0.05252709637731416,
      0.05162051418471757,
      0.05072843287064633,
      0.049850619962400686,
      0.04898684684759794,
      0.04813688866722762,
      0.04730052414634916,
      0.046477535505092184,
      0.04566770844342144,
      0.044870832282129645,
      0.044086699491237655,
      0.04331510603160618,
      0.04255585119774491,
      0.04180873736874028,
      0.04107357008868343,
      0.040350158073203704,
      0.039638313269831284,
      0.03893785045006852,
      0.038248587375605415,
      0.03757034482302091,
      0.03690294642933073,
      0.036246218656550776,
      0.035599990748340735,
      0.03496409462378278,
      0.03433836495965491,
      0.03372263910547107,
      0.033116756951237655,
      0.03252056099596487,
      0.03193389618453149,
      0.03135661009118326,
      0.03078855282032775,
      0.03022957669469632,
      0.029679536308275585,
      0.029138288778746944,
      0.028605693481699654,
      0.028081611895569746,
      0.027565907963382895,
      0.02705844769429969,
      0.02655909921886988,
      0.02606773281387439,
      0.025584220821173384,
      0.025108437625520955,
      0.02464025958928517,
      0.024179565160351604,
      0.023726234580894907,
      0.023280150131241475,
      0.022841195961749883,
      0.02240925798919607,
      0.02198422399080129,
      0.021565983740669044,
      0.02115442846195698,
      0.0207494512917277,
      0.020350947127889207,
      0.019958812446643524,
      0.019572945437553786,
      0.01919324584659833,
      0.01881961505422485,
      0.018451956038641623,
      0.018090173345720165,
      0.017734172994822696,
      0.017383862511227286,
      0.01703915099009109,
      0.016699948867275244,
      0.016366168115327352,
      0.016037722172243057,
      0.0157145256782701,
      0.01539649471369138,
      0.015083546718332544,
      0.01477560033928062,
      0.01447257558286812,
      0.01417439390179064,
      0.013880977855117833,
      0.01359225125008409,
      0.013308139002313901,
      0.013028567547483704,
      0.01275346427277484,
      0.012482757773195253,
      0.012216377768309238,
      0.011954255055888088,
      0.011696321539155449,
      0.011442510303460164,
      0.011192755442780894,
      0.010946992080989657,
      0.010705156556491364,
      0.010467186032290037,
      0.010233018796798452,
      0.0100025940088073,
      0.009775851783254927,
      0.009552733312673816,
      0.009333180636233637,
      0.009117136743228841,
      0.008904545635662516,
      0.008695352089339572,
      0.008489501818987161,
      0.008286941430598662,
      0.008087618275380527,
      0.00789148059960266,
      0.007698477564036524,
      0.0075085590762677575,
      0.00732167575955991,
      0.007137779051668759,
      0.006956821255942928,
      0.006778755392323756,
      0.0066035352420697,
      0.006431115369894485,
      0.0062614510409857455,
      0.006094498210930504,
      0.005930213562656567,
      0.0057685544890407475,
      0.005609479040524177,
      0.00545294586198494,
      0.0052989143038835364,
      0.005147344294648722,
      0.004998196444211473,
      0.004851432175678357,
      0.004707013446515649,
      0.0045649026948335865,
      0.004425063041772703,
      0.0042874582675190625,
      0.004152052631096344,
      0.004018810920834426,
      0.0038876986468778523,
      0.0037586817404242244,
      0.0036317267446638636,
      0.0035068006003456274,
      0.0033838708853272514,
      0.0032629057570500576,
      0.003143873821220512,
      0.0030267442122520315,
      0.0029114864082094042,
      0.002798070543914589,
      0.002686467159907063,
      0.002576647379384395,
      0.002468582693206294,
      0.002362245076908668,
      0.0022576069252277574,
      0.0021546409817741422,
      0.002053320569429965,
      0.0019536193518266353,
      0.0018555114845383192,
      0.0017589714816896038,
      0.0016639742941508301,
      0.0015704952493254365,
      0.0014785100813869652,
      0.0013879949888556814,
      0.0012989265220199123,
      0.001211281490844646,
      0.0011250371792848777,
      0.001040171186126751,
      0.0009566614961478953,
      0.0008744863681762919,
      0.000793624491446794,
      0.0007140548702290021,
      0.0006357568493579254,
      0.000558710147827164,
      0.0004828948299726751,
      0.0004082910681266737,
      0.0003348795801180739,
      0.0002626412928426932,
      0.0001915574072431902,
      0.00012160947707372628,
      5.2779349329104954e-05,
      -1.4950748090742942e-05,
      -8.15983968700564e-05,
      -0.0001471808985035428,
      -0.00021171525286613506,
      -0.0002752183142275175,
      -0.0003377065328519141,
      -0.00039919606434031947,
      -0.00045970290917667024,
      -0.0005192427529847176,
      -0.0005778310280231102,
      -0.0006354829485333965,
      -0.0006922134621104711,
      -0.0007480374038887263,
      -0.0008029692304871809,
      -0.0008570231528123667,
      -0.0009102132747808106,
      -0.0009625533624016665,
      -0.0010140570186690195,
      -0.0010647375523411512,
      -0.001114608144965328,
      -0.0011636817434486212,
      -0.0012119710600343122,
      -0.0012594886475595882,
      -0.001306246923457858,
      -0.0013522578811116218,
      -0.0013975335508211654,
      -0.0014420856458658882,
      -0.0014859257169587297,
      -0.0015290650828435593,
      -0.0015715150974191833,
      -0.0016132867555313122,
      -0.001654390895072246,
      -0.0016948381504736545,
      -0.0017346389562656085,
      -0.0017738037026487838,
      -0.0018123425725998055,
      -0.0018502655628418873,
      -0.0018875825358297773,
      -0.0019243030930283353,
      -0.0019604367462321345,
      -0.0019959929040374406,
      -0.0020309807750888737,
      -0.002065409436175527,
      -0.0020992878804800756,
      -0.002132624970200998,
      -0.002165429312439533,
      -0.0021977093819594605,
      -0.0022294735671251177,
      -0.0022607301901812933,
      -0.0022914873046476947,
      -0.0023217527775654164,
      -0.002351534619688324
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334778763656148,
      10.093712099155455,
      9.846406333322625,
      9.595664073009866,
      9.343945633136588,
      9.093377208815182,
      8.84572571029513,
      8.60239094761752,
      8.364410359335926,
      8.132470353789003,
      7.906939705037696,
      7.687914929140104,
      7.475271471827557,
      7.268716344570902,
      7.067838636381369,
      6.872155642920208,
      6.681153316489187,
      6.494318244968405,
      6.3111640296956635,
      6.131250219258148,
      5.954193041987053,
      5.779664429107534,
      5.607402081947111,
      5.437228402313775,
      5.269046657939516,
      5.1028294561157725,
      4.938620458967366,
      4.776545272233504,
      4.616829344520919,
      4.459776727027913,
      4.305721831731463,
      4.155025197702795,
      4.008069900525461,
      3.865246594552337,
      3.726927851913216,
      3.593452918711291,
      3.4651177785728344,
      3.342167884389659,
      3.2247933842106233,
      3.11312683277344,
      3.0072336282381125,
      2.907106510756831,
      2.8126642433775544,
      2.72374140750931,
      2.6401147046250304,
      2.561538696956986,
      2.487760680586302,
      2.4185201852754012,
      2.353548072800177,
      2.2925631941436335,
      2.2352557780995608,
      2.1812481750037525,
      2.1301858569155203,
      2.0817320999530864,
      2.0355691822134685,
      1.991411991469948,
      1.9490314554769974,
      1.908237584908611,
      1.8688752810346783,
      1.8308202829051985,
      1.793966112532001,
      1.7582177677184914,
      1.7234970849676858,
      1.689739676362402,
      1.6568911741556573,
      1.6249046178281836,
      1.593738626434058,
      1.5633561142664014,
      1.5337233826197365,
      1.5048094705499995,
      1.4765860543332643,
      1.4490276092635745,
      1.4221105739365114,
      1.3958123349625464,
      1.3701147910601752,
      1.345000859226197,
      1.3204531027282886,
      1.2964541386326742,
      1.2729868867881764,
      1.2500347197899049,
      1.2275815465501352,
      1.205611854880432,
      1.184110726973885,
      1.1630638385473715,
      1.14245761691445,
      1.1222800339965595,
      1.1025197707139434,
      1.08316605644427,
      1.0642082942803184,
      1.0456359119866858,
      1.0274384994666843,
      1.0096058903555187,
      0.9921282082072158,
      0.9749958907112651,
      0.958199699128824,
      0.9417307187282514,
      0.9255803535324766,
      0.9097403176470613,
      0.8942026247577568,
      0.8789595767573367,
      0.8640037518886652,
      0.8493282990197546,
      0.834926897885469,
      0.8207932843205303,
      0.8069212691082012,
      0.7933047833294449,
      0.7799379034816273,
      0.7668148651256401,
      0.7539300688782842,
      0.7412780819591932,
      0.7288536356866054,
      0.7166516220971895,
      0.7046670897546651,
      0.6928952379642777,
      0.6813314117044458,
      0.6699710963521539,
      0.6588099118588774,
      0.647843607782847,
      0.637068058113471,
      0.626479256397235,
      0.6160732965638207,
      0.6058463260482122,
      0.5957946065177921,
      0.5859145276039288,
      0.5762025934513963,
      0.5666554135291745,
      0.5572696945633153,
      0.5480422348292968,
      0.5389699199348994,
      0.530049718159269,
      0.521278677148029,
      0.5126539204868452,
      0.504172644885403,
      0.4958323563147643,
      0.4876313405811401,
      0.4795677406495932,
      0.47163945668639534,
      0.4638442558891076,
      0.45617984149242913,
      0.44864389608067534,
      0.441234108937719,
      0.43394819273362617,
      0.42678389331223493,
      0.4197389956832248,
      0.4128113269929553,
      0.40599875833310844,
      0.399299367920924,
      0.3927114735499969,
      0.38623332539161814,
      0.379863111855099,
      0.37359899706417865,
      0.3674391442918233,
      0.3613817302318827,
      0.35542495368974436,
      0.34956704103670594,
      0.34380627920247403,
      0.3381411137099709,
      0.3325700090769934,
      0.32709140364596667,
      0.32170373074896824,
      0.31640543197852194,
      0.31119496551008186,
      0.30607081117963075,
      0.30103149678728475,
      0.29607559108206805,
      0.29120167488871046,
      0.28640834520684993,
      0.2816942192815983,
      0.27705774970898156,
      0.2724973228822311,
      0.26801145883143346,
      0.2635987713761384,
      0.2592579428844743,
      0.25498770794310127,
      0.2507868423569432,
      0.2466541560811088,
      0.24258857566181322,
      0.23858941811364343,
      0.2346559872754312,
      0.23078744226226008,
      0.2269828561978365,
      0.2232412537531779,
      0.21956163527745523,
      0.2159429921044943,
      0.2123843166437095,
      0.20888460830079042,
      0.20544287728735883,
      0.20205814720147935,
      0.19872944587474095,
      0.1954557332620488,
      0.19223597111356636,
      0.18906918022673688,
      0.18595442500287906,
      0.18289080314847508,
      0.17987743914176882,
      0.17691348005456203,
      0.17399809244879477,
      0.1711304606041519,
      0.16830978485012557,
      0.16553528088769176,
      0.16280617880762419,
      0.160121722623133,
      0.15748116992189043,
      0.1548837913377456,
      0.1523288703178584,
      0.14981570277220313,
      0.1473435967696471,
      0.14491187232509486,
      0.14251986111164697,
      0.14016690647335864,
      0.13785236292421407,
      0.13557559603578623,
      0.13333596816656973,
      0.13113275249815165,
      0.1289652177232348,
      0.1268326929541828,
      0.12473454987799781,
      0.12267019125652565,
      0.1206390433430138,
      0.11864055075478143,
      0.11667417297498973,
      0.11473938239994612,
      0.11283566269127523,
      0.11096250764314124,
      0.10911942060440497,
      0.10730591377372535,
      0.10552150799485217,
      0.10376573225601926,
      0.1020381234835694,
      0.1003382264895077,
      0.0986655935636839,
      0.09701978442214176,
      0.09540036607841706,
      0.0938069127401322,
      0.09223900553917394,
      0.09069623263515462,
      0.08917818891759811,
      0.0876844757689267,
      0.08621470116189754,
      0.08476847954188421,
      0.08334543158489405,
      0.08194518415269794,
      0.08056737034944735,
      0.07921162920592936,
      0.07787760564555485,
      0.07656495032527907,
      0.0752733194618672,
      0.07400237504067726,
      0.07275178456509863,
      0.07152122082878566,
      0.07031036203821261,
      0.06911889156320325,
      0.06794649799622574,
      0.06679287488664662,
      0.06565772076387565,
      0.06454073908955762,
      0.06344163818661225,
      0.06236013081691722,
      0.061295934730016065,
      0.06024877209751893,
      0.05921836958750731,
      0.05820445834756374,
      0.057206773787919184,
      0.05622505552393179,
      0.055259047559603904,
      0.054308497979159806,
      0.05337315885703576,
      0.05245278627193952,
      0.051547140364844035,
      0.05065598497296184,
      0.04977908788866027,
      0.04891622056675829,
      0.04806715819600703,
      0.04723167957732157,
      0.04640956703224284,
      0.045600606321204155,
      0.04480458678460732,
      0.04402130108434188,
      0.04325054531729373,
      0.04249211866148254,
      0.04174582359699942,
      0.0410114659678695,
      0.04028885460489997,
      0.0395778013418978,
      0.038878121097167005,
      0.038189631699851574,
      0.03751215408029429,
      0.03684551188080442,
      0.03618953163033548,
      0.03554404262470687,
      0.03490887691624648,
      0.03428386932649432,
      0.03366885724725967,
      0.033063680610410984,
      0.03246818208371775,
      0.031882206825671375,
      0.03130560230083334,
      0.030738218625435954,
      0.03017990835111536,
      0.029630526156030915,
      0.029089929110467615,
      0.028557976709723487,
      0.02803453069406732,
      0.027519454826307584,
      0.027012615256189726,
      0.026513880194017236,
      0.026023120018947913,
      0.025540207108806588,
      0.02506501587563303,
      0.02459742280853127,
      0.024137306422762864,
      0.023684547039207925,
      0.023239027009122504,
      0.02280063055909065,
      0.022369243630439385,
      0.02194475415811336,
      0.021527051870064418,
      0.02111602812775164,
      0.020711576225798417,
      0.020313591042493983,
      0.019921969092427733,
      0.019536608636488106,
      0.0191574096013932,
      0.018784273295761374,
      0.018417102793158238,
      0.018055802768616694,
      0.017700279290479605,
      0.01735044001854862,
      0.017006194001175753,
      0.016667451796002663,
      0.016334125341867595,
      0.016006128084639484,
      0.015683374713986054,
      0.015365781408043441,
      0.01505326574006592,
      0.014745746508000389,
      0.014443143772322422,
      0.01414537890529455,
      0.013852374549625396,
      0.01356405457608512,
      0.013280344096747427,
      0.01300116941297503,
      0.012726458012519426,
      0.012456138488883987,
      0.012190140598205994,
      0.01192839533394804,
      0.01167083464954935,
      0.01141739159241952,
      0.011168000435839048,
      0.010922596274634861,
      0.010681115412930995,
      0.010443495222714615,
      0.01020967383442714,
      0.009979590549435733,
      0.00975318558904737,
      0.009530400216440867,
      0.009311176455165437,
      0.009095457396095755,
      0.008883187044075036,
      0.00867431018085432,
      0.008468772574763235,
      0.00826652087583122,
      0.008067502584813485,
      0.007871665974325861,
      0.007678960229211628,
      0.0074893352789751795,
      0.00730274177962597,
      0.007119131276088901,
      0.0069384560693273424,
      0.006760669309078434,
      0.0065857248416714125,
      0.006413577143596558,
      0.006244181530770334,
      0.0060774939830440565,
      0.00591347120701275,
      0.005752070682346229,
      0.005593250418352673,
      0.005436969120220385,
      0.005283186192096098,
      0.00513186176253963,
      0.004982956527733276,
      0.004836431762678223,
      0.004692249360056815,
      0.0045503719160282785,
      0.004410762666181478,
      0.004273385315586182,
      0.0041382041191442166,
      0.004005183938401545,
      0.0038742901736376865,
      0.003745488990518008,
      0.0036187469966470643,
      0.003494031212161638,
      0.0033713092455398557,
      0.00325054919827582,
      0.003131719666982778,
      0.0030147898110313414,
      0.0028997291998408784,
      0.0027865080046013814,
      0.002675096779450734,
      0.0025654667024098653,
      0.002457589213855957,
      0.0023514362991203103,
      0.0022469804355231006,
      0.002144194535380394,
      0.002043051890466215,
      0.0019435260798623959,
      0.0018455912798864213,
      0.001749222060756955,
      0.0016543935286375145,
      0.0015610809096100998,
      0.0014692600760512768,
      0.001378907190886945,
      0.0012899987734382608,
      0.0012025116767577172,
      0.0011164231497192837,
      0.0010317109002021222,
      0.0009483529694574155,
      0.0008663276205615547,
      0.000785613513690173,
      0.0007061897179612341,
      0.0006280356355676305,
      0.0005511309143682788,
      0.00047545569277212353,
      0.0004009901715172633,
      0.00032771505784667045,
      0.00025561141327240413,
      0.00018466043282980564,
      0.00011484375325002102,
      4.614317061867428e-05,
      -2.1459151029957108e-05,
      -8.798068616124239e-05,
      -0.00015343885809293773,
      -0.0002178505857253659,
      -0.00028123253445797583,
      -0.00034360121357691545,
      -0.00040497278634325643,
      -0.0004653632799611065,
      -0.0005247883366821414,
      -0.0005832634025719902,
      -0.0006408036607212136,
      -0.0006974240783996612,
      -0.0007531392620921946,
      -0.0008079637120504631,
      -0.0008619117711874315,
      -0.0009149974012271406,
      -0.0009672344541819484,
      -0.0010186363828951672,
      -0.0010692165612296751,
      -0.0011189881774809575,
      -0.0011679641016306428,
      -0.001216157152247303,
      -0.0012635797014803809,
      -0.001310244060739259,
      -0.0013561624336515274,
      -0.0014013467922669891,
      -0.0014458088158477796,
      -0.0014895600830261869,
      -0.0015326118692531095,
      -0.0015749754136668123,
      -0.0016166617087510925,
      -0.0016576815943073072,
      -0.0016980457493429404,
      -0.0017377646256738896,
      -0.0017768484699232647,
      -0.001815307516457268,
      -0.001853151741212564,
      -0.001890390939135003,
      -0.001927034851643541,
      -0.0019630929949829958,
      -0.0019985747357023965,
      -0.0020334891747421273,
      -0.002067845475946709,
      -0.0021016525265160255,
      -0.002134919086414629,
      -0.002167653848498448,
      -0.0021998652496906888,
      -0.002231561777710604,
      -0.002262751686413728,
      -0.0022934429644898987,
      -0.0023236435895637297,
      -0.0023533614066779352
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33477510518235,
      10.093699379433954,
      9.846378559607892,
      9.595616562836717,
      9.34387513322185,
      9.093281556487673,
      8.845603591086135,
      8.602241849466147,
      8.364234269374503,
      8.132267513508893,
      7.906710485942434,
      7.687659746476869,
      7.4749907263761175,
      7.2684103962938424,
      7.067507798017464,
      6.871800180306962,
      6.680773468247198,
      6.493914280974861,
      6.310736289880034,
      6.13079920255697,
      5.953719454305151,
      5.779169220968273,
      5.606886439517684,
      5.436693817067175,
      5.26849488558872,
      5.102262345364953,
      4.938040052455848,
      4.775954018053279,
      4.6162305280384786,
      4.459173866505912,
      4.305118426222805,
      4.154424749297859,
      4.007476007515084,
      3.8646627444892294,
      3.7263572747524254,
      3.59289853732992,
      3.4645821633584717,
      3.3416532189231454,
      3.224301447844356,
      3.112658993683099,
      3.006790690637846,
      2.9066887397124677,
      2.8122712552334415,
      2.7233722453806974,
      2.639767860519283,
      2.561212514206925,
      2.487453391671395,
      2.4182298729794764,
      2.3532728501362192,
      2.292301085871992,
      2.2350044963650477,
      2.1810052767216654,
      2.129949225460189,
      2.0814997530848722,
      2.035339277509714,
      1.9911830986413077,
      1.9488025156300364,
      1.9080077058201659,
      1.868643784660477,
      1.8305866889660312,
      1.793729998955861,
      1.7579788211848577,
      1.7232551107114245,
      1.689494562245944,
      1.656642866038382,
      1.6246531013051078,
      1.5934839139112007,
      1.5630982367839128,
      1.5334623837391408,
      1.5045454015996391,
      1.476318992479251,
      1.448757716468915,
      1.4218381473731658,
      1.3955377660934682,
      1.3698385004953555,
      1.3447231361313443,
      1.3201741502130215,
      1.2961741032154677,
      1.27270587834388,
      1.2497528228420123,
      1.2272988298247058,
      1.2053283764260336,
      1.1838265383072386,
      1.1627789866050477,
      1.1421721557637294,
      1.1219940297967868,
      1.1022332842054197,
      1.0828791489402527,
      1.063921017986779,
      1.0453483131265617,
      1.0271506198109772,
      1.0093177687919412,
      0.9918398818384383,
      0.9747073948739402,
      0.9579110682147449,
      0.9414419865378529,
      0.9252915531097305,
      0.9094514816637719,
      0.893913785531817,
      0.8786707659567927,
      0.8637150235714052,
      0.849039825090506,
      0.8346388333449629,
      0.820505736304356,
      0.8066343138141882,
      0.7930184765530613,
      0.7796522879113978,
      0.7665299749239735,
      0.7536459331878627,
      0.7409947255874146,
      0.7285710808877406,
      0.7163698898541341,
      0.7043861996986175,
      0.6926152088413471,
      0.6810522616768191,
      0.6696928428819525,
      0.6585325719876008,
      0.6475671979425733,
      0.6367925945899438,
      0.6262047549942832,
      0.6157997722082825,
      0.6055737925102519,
      0.5955230779269403,
      0.5856440180246288,
      0.5759331168070173,
      0.5663869833918164,
      0.5570023241892392,
      0.5477759375430873,
      0.5387047083880034,
      0.5297856046226623,
      0.5210156735433837,
      0.5123920386393255,
      0.5039118961592188,
      0.49557283591209617,
      0.48737314600468395,
      0.4793109352569961,
      0.4713840819292797,
      0.4635903390207497,
      0.45592740057596576,
      0.448392943434943,
      0.4409846529294386,
      0.43370023899135296,
      0.4265374458242903,
      0.41949405722310706,
      0.41256789968906404,
      0.40575684362047715,
      0.39905899078385726,
      0.3924726591380422,
      0.38599608884555425,
      0.3796274619541712,
      0.37336493847289437,
      0.36720667887265623,
      0.36115085798759744,
      0.3551956735939368,
      0.3493393512209852,
      0.3435801823001995,
      0.3379166188740755,
      0.332347120425414,
      0.32687012181832725,
      0.3214840542554434,
      0.31618735791445735,
      0.3109784900212988,
      0.3058559296924759,
      0.3008182061543264,
      0.2958638880287571,
      0.2909915548774715,
      0.2861998032276226,
      0.28148724965841887,
      0.27685235044397294,
      0.27229349193260394,
      0.26780919249742546,
      0.2633980649697421,
      0.2590587911001161,
      0.25479010493163323,
      0.2505907818087834,
      0.2464596314328544,
      0.24239558167387162,
      0.23839795135928174,
      0.23446604276582922,
      0.2305990138694682,
      0.22679593698235292,
      0.22305583624904982,
      0.21937771162159247,
      0.21576055427769544,
      0.21220335632830517,
      0.20870511709202344,
      0.20526484671267595,
      0.20188156859856946,
      0.1985543082205985,
      0.19528202255402285,
      0.1920636752875292,
      0.1888982883804792,
      0.18578492692937768,
      0.18272268909981315,
      0.1797106997340997,
      0.17674810604629215,
      0.1738340747411745,
      0.17096779011465554,
      0.1681484525569066,
      0.16537527761923923,
      0.1626474954635902,
      0.15996435017213656,
      0.15732509922755755,
      0.15472901325076002,
      0.1521753756975714,
      0.14966348236765678,
      0.14719264140518512,
      0.144762172780208,
      0.14237140821044153,
      0.14001969103340658,
      0.13770637564173108,
      0.1354308276686468,
      0.13319242341195767,
      0.1309905263123293,
      0.1288244085714323,
      0.1266933600059609,
      0.12459672669322064,
      0.12253389462422265,
      0.12050427898901121,
      0.11850731718095033,
      0.11654246422704376,
      0.11460918953292198,
      0.11270697484157227,
      0.11083531274904386,
      0.10899370574047605,
      0.10718166557672944,
      0.10539871286520824,
      0.10364437639256573,
      0.10191819293025825,
      0.1002197072447322,
      0.0985484718356129,
      0.09690404652822948,
      0.0952859984028164,
      0.0936939015380888,
      0.09212733720525434,
      0.09058589353945093,
      0.08906916548301164,
      0.08757675472697984,
      0.08610826934826384,
      0.08466332384156404,
      0.08324153899217607,
      0.08184254183765402,
      0.08046596545768399,
      0.0791114490050284,
      0.07777863736967526,
      0.0764671813151613,
      0.0751767373783565,
      0.0739069675419973,
      0.07265753933688993,
      0.07142812576055549,
      0.07021840498701772,
      0.06902806052740093,
      0.06785678100979912,
      0.06670426008856113,
      0.06557019648051915,
      0.06445429372358567,
      0.06335626016348173,
      0.062275808900432356,
      0.061212657597875024,
      0.060166528533648324,
      0.05913714845528277,
      0.05812424859827292,
      0.057127564529848816,
      0.05614683599336265,
      0.05518180701623059,
      0.05423222565839106,
      0.05329784423424722,
      0.052378418888498236,
      0.051473709791134664,
      0.050583480927456,
      0.0497075001854378,
      0.048845539181435395,
      0.047997373099816776,
      0.04716278074638399,
      0.046341544529572454,
      0.04553345037298462,
      0.044738287767897685,
      0.0439558494644714,
      0.04318593152501963,
      0.0424283333136674,
      0.04168285747300599,
      0.040949309773568116,
      0.04022749904474149,
      0.03951723730553317,
      0.038818339630558876,
      0.03813062401177798,
      0.03745391139062326,
      0.03678802553276978,
      0.03613279303456833,
      0.03548804323856209,
      0.03485360829972389,
      0.034229323045837014,
      0.033615025032900606,
      0.03301055429936714,
      0.032415753530643965,
      0.031830467877515846,
      0.03125454497490143,
      0.030687835072061145,
      0.030130190600332143,
      0.029581466411066494,
      0.029041519717192182,
      0.02851021005055447,
      0.027987399240897357,
      0.0274729512256763,
      0.026966732173268834,
      0.026468610341376788,
      0.02597845616604065,
      0.025496142047623023,
      0.025021542589659777,
      0.024554534311626675,
      0.024094995757625706,
      0.023642807389872046,
      0.02319785162992904,
      0.02276001269098217,
      0.022329176690986118,
      0.021905231669312034,
      0.021488067313965308,
      0.021077575094207022,
      0.020673648379548416,
      0.020276182022008996,
      0.01988507265685898,
      0.01950021865388018,
      0.019121519859290757,
      0.018748877845710027,
      0.018382195743067528,
      0.01802137814525236,
      0.017666331238686574,
      0.017316962733749764,
      0.016973181789366458,
      0.01663489904499654,
      0.01630202651214233,
      0.01597447759209124,
      0.015652167207228482,
      0.015335011569200469,
      0.015022928149521981,
      0.014715835839335546,
      0.014413654828748729,
      0.014116306548372953,
      0.013823713691840189,
      0.013535800173728895,
      0.013252491123726125,
      0.012973712917253391,
      0.012699393166920073,
      0.012429460521235324,
      0.012163844721827419,
      0.011902476722311406,
      0.011645288576444202,
      0.011392213496233497,
      0.011143185704297912,
      0.010898140506618711,
      0.010657014153281182,
      0.010419743963789982,
      0.01018626835468852,
      0.00995652650870843,
      0.009730458753399623,
      0.009508006365116914,
      0.009289111523127516,
      0.009073717305364234,
      0.008861767611367321,
      0.008653207412903454,
      0.008447982608095789,
      0.00824603979630543,
      0.008047326450416713,
      0.007851790907750298,
      0.00765938236452633,
      0.007470050810146596,
      0.007283747021855525,
      0.00710042265775029,
      0.00692003003513425,
      0.006742522191716198,
      0.006567853051090022,
      0.006395977235368841,
      0.006226850078087008,
      0.0060604276144326,
      0.0058966664592804,
      0.005735524082481402,
      0.005576958718847324,
      0.005420929203117703,
      0.005267394833745364,
      0.005116315754504787,
      0.004967652721473166,
      0.004821367108118549,
      0.004677420842719114,
      0.004535776545235991,
      0.004396397456778843,
      0.004259247327248598,
      0.00412429048306542,
      0.003991491788675607,
      0.003860816795095033,
      0.003732231489995569,
      0.0036057025396517995,
      0.0034811969672332685,
      0.0033586824750219523,
      0.0032381272348309957,
      0.0031194998903733614,
      0.0030027694849381237,
      0.002887905836318744,
      0.0027748791763384053,
      0.002663660078636747,
      0.0025542195720703576,
      0.002446529148174,
      0.00234056082040543,
      0.002236287211961579,
      0.0021336810918974945,
      0.0020327156881005054,
      0.0019333649511832768,
      0.001835603019525853,
      0.0017394045187347652,
      0.0016447443790785156,
      0.0015515980615500465,
      0.0014599413852793694,
      0.0013697503626763292,
      0.0012810016458411396,
      0.0011936723077614882,
      0.001107739408783501,
      0.0010231807397965036,
      0.0009399743216326633,
      0.0008580984970216859,
      0.0007775319151700613,
      0.0006982537346308351,
      0.0006202433503575324,
      0.0005434804337895333,
      0.00046794506293836203,
      0.00039361758680589735,
      0.00032047873933112883,
      0.0002485095062577865,
      0.00017769113335969146,
      0.00010800530725857098,
      3.943389245405162e-05,
      -2.8040878781076143e-05,
      -9.443660990695913e-05,
      -0.00015977055478226312,
      -0.0002240597234968478,
      -0.0002873207646321452,
      -0.00034957013894130947,
      -0.00041082405018079144,
      -0.000471098477028918,
      -0.0005304089877446815,
      -0.0005887710558043435,
      -0.0006461997896884727,
      -0.000702710113216252,
      -0.0007583166968168185,
      -0.0008130340214370813,
      -0.0008668763210879413,
      -0.000919857587627277,
      -0.0009719916385055803,
      -0.001023291999325269,
      -0.0010737719950273705,
      -0.0011234447513537667,
      -0.0011723231445485184,
      -0.0012204198711469076,
      -0.0012677473894594515,
      -0.0013143179876103296,
      -0.0013601438764886994,
      -0.0014052368940577248,
      -0.0014496088062101668,
      -0.0014932712258337408,
      -0.001536235442191608,
      -0.001578512605075038,
      -0.0016201137557977563,
      -0.0016610496098738703,
      -0.0017013308217677903,
      -0.0017409677974973637,
      -0.0017799709137474092,
      -0.0018183503423394867,
      -0.0018561160711607955,
      -0.0018932777523000043,
      -0.0019298451345568293,
      -0.001965827751805791,
      -0.0020012349157194132,
      -0.0020360758925160403,
      -0.002070359754770455,
      -0.0021040952833769858,
      -0.0021372913392983177,
      -0.002169956491090727,
      -0.0022020993159810928,
      -0.0022337281023497397,
      -0.0022648510798299257,
      -0.00229547626699119,
      -0.0023256116745780228,
      -0.0023552652542132638
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334771447013903,
      10.093686653304937,
      9.846350765420969,
      9.595569013765905,
      9.343804572596701,
      9.09318581999402,
      8.845481362632531,
      8.602092613983048,
      8.36405801266326,
      8.132064475386871,
      7.906481038728656,
      7.687404305052294,
      7.474709693310811,
      7.2681041320404844,
      7.067176615494095,
      6.871444346739421,
      6.680393221587552,
      6.493509892523083,
      6.310308102946535,
      6.130347718839023,
      5.953245381076905,
      5.77867350978551,
      5.606370276714119,
      5.43615869389332,
      5.267942558831147,
      5.101694666547911,
      4.937459067389143,
      4.775362175710856,
      4.615631117652004,
      4.458570409179504,
      4.304514423785874,
      4.15382370597356,
      4.006881523110428,
      3.8640783105334364,
      3.725786123493937,
      3.592343591987486,
      3.4640459949015336,
      3.3411380132443877,
      3.2238089847494638,
      3.1121906413499376,
      3.006347252827128,
      2.906270480230137,
      2.8118777913143136,
      2.72300262003292,
      2.63942056622693,
      2.5608858935404832,
      2.487145676131584,
      2.417939144647604,
      2.352997221300985,
      2.292038580477989,
      2.2347528270911776,
      2.1807620012256845,
      2.129712228341218,
      2.08126705288756,
      2.0351090325588266,
      1.990953879390643,
      1.9485732633687853,
      1.907777529171393,
      1.8684120063806051,
      1.8303528286707058,
      1.793493634583854,
      1.7577396391657691,
      1.723012915825159,
      1.689249241852597,
      1.6563943654524094,
      1.6244014055893414,
      1.5932290355160783,
      1.5628402064591318,
      1.5332012444756409,
      1.504281205099457,
      1.4760518161619636,
      1.4484877223835517,
      1.4215656328685358,
      1.3952631696030293,
      1.3695622244628631,
      1.3444454581488263,
      1.3198952663192205,
      1.2958941553764527,
      1.2724249727726882,
      1.2494710432746463,
      1.2270162438704568,
      1.2050450416041798,
      1.1835425051767623,
      1.1624943009712274,
      1.1418868709993715,
      1.121708211753193,
      1.1019469937017319,
      1.0825924471466863,
      1.0636339565921822,
      1.0450609378695832,
      1.0268629724697151,
      1.0090298879389248,
      0.9915518040916461,
      0.9744191558310431,
      0.9576227026143176,
      0.9411535280036186,
      0.9250030344942064,
      0.9091629352797579,
      0.8936252433232978,
      0.8783822594566281,
      0.8634266525646976,
      0.8487517819874274,
      0.8343512484806476,
      0.8202187008459798,
      0.8063478934446976,
      0.7927327203513308,
      0.7793672342825394,
      0.7662456552789542,
      0.7533623739918259,
      0.7407119506903663,
      0.7282891122603401,
      0.716088747545301,
      0.7041059027195198,
      0.6923357758580782,
      0.6807737107011411,
      0.6694151911790657,
      0.6582558366090808,
      0.6472913956649569,
      0.6365177414105967,
      0.6259308665842548,
      0.6155268635156808,
      0.6053018776079313,
      0.5952521710709977,
      0.585374133407731,
      0.5756642684324418,
      0.5661191848879084,
      0.5567355889722575,
      0.5475102785401114,
      0.5384401384639373,
      0.5295221363138183,
      0.5207533189872366,
      0.5121308094460009,
      0.5036518037847969,
      0.49531397532038035,
      0.4871156144852002,
      0.4790547958518027,
      0.47112937582289593,
      0.4633370933992441,
      0.45567563350798806,
      0.4481426670622088,
      0.4407358756653063,
      0.4334529667856062,
      0.4262916827527268,
      0.41924980616812957,
      0.4123251625017605,
      0.4055156216568364,
      0.3988193089176608,
      0.3922345425542047,
      0.38575955271377615,
      0.3793925148976985,
      0.37313158496704846,
      0.36697492065825577,
      0.3609206948856749,
      0.3549671041953403,
      0.3491123733774911,
      0.3433547988739716,
      0.33769283909454784,
      0.33212494830916994,
      0.32664955803079754,
      0.3212650972306539,
      0.3159700046837426,
      0.31076273667802606,
      0.30564177209224647,
      0.3006056414902089,
      0.29565291262964444,
      0.29078216424122477,
      0.2859919920352223,
      0.28128101211400963,
      0.2766476845671454,
      0.2720903957713853,
      0.2676076625295934,
      0.26319809661936006,
      0.2588603788794791,
      0.254593242743388,
      0.2503954633331727,
      0.2462658500926437,
      0.24220333158882162,
      0.23820722770475297,
      0.2342768395375907,
      0.23041132426447958,
      0.22660975369807757,
      0.22287115160178905,
      0.21919451768746953,
      0.2155788428789758,
      0.21202311909369348,
      0.20852634543883533,
      0.20508753205624755,
      0.2017057023949976,
      0.19837987959267012,
      0.19510901758346388,
      0.19189208186985768,
      0.18872809563926057,
      0.18561612476202102,
      0.1825552679419503,
      0.1795446501850043,
      0.17658341893981566,
      0.1736707410383337,
      0.17080580081527819,
      0.16798779864903068,
      0.16521595023094715,
      0.16248948560166632,
      0.15980764871416586,
      0.15716969711625228,
      0.1545749013825953,
      0.15202254493837963,
      0.14951192356710274,
      0.14704234535346397,
      0.14461313041886778,
      0.14222361046131227,
      0.13987312862082824,
      0.137561039339677,
      0.13528670821081282,
      0.13304951153442446,
      0.1308488363772557,
      0.12868404814964182,
      0.12655441978021684,
      0.12445926072681947,
      0.1223979331142982,
      0.12036983656430005,
      0.11837439830184703,
      0.11641106669521553,
      0.11447930690626883,
      0.11257859775745638,
      0.11070843005807057,
      0.10886830511757632,
      0.10705773408316506,
      0.10527623704970529,
      0.10352334260033697,
      0.10179858745823887,
      0.10010151629292846,
      0.09843168148956227,
      0.09678864282376003,
      0.09517196739634197,
      0.09358122956812265,
      0.0920160106454848,
      0.09047589892113198,
      0.08896048941390965,
      0.08746938381703409,
      0.08600219025595321,
      0.08455852338707102,
      0.08313800411825799,
      0.0817402594533194,
      0.08036492267612128,
      0.0790116329937948,
      0.07768003543344261,
      0.07636978088024292,
      0.07508052586946211,
      0.0738119325260376,
      0.07256366849535052,
      0.0713354068912176,
      0.07012682598331724,
      0.06893760937439841,
      0.0677674458499966,
      0.06661602918034623,
      0.06548305801394984,
      0.06436823604284261,
      0.06327127172886937,
      0.0621918781969979,
      0.06112977321567858,
      0.06008467923242361,
      0.05905632303257663,
      0.05804443590381501,
      0.05704875357584596,
      0.05606901583616715,
      0.055104966781188265,
      0.054156354695579875,
      0.05322293192461682,
      0.05230445481338162,
      0.0514006835934833,
      0.0505113823547034,
      0.049636318938926866,
      0.04877526502945363,
      0.04792799599392154,
      0.0470942908145299,
      0.04627393194585338,
      0.045466705338738346,
      0.044672400461208045,
      0.04389081027252254,
      0.04312173091472208,
      0.042364961886987254,
      0.041620305892579694,
      0.0408875688089675,
      0.04016655969280678,
      0.03945709055822712,
      0.03875897646545297,
      0.03807203548755915,
      0.0373960886821878,
      0.03673095991925973,
      0.036076475757440316,
      0.03543246566486214,
      0.034798761901006996,
      0.03417519951158233,
      0.033561616059863214,
      0.0329578517501541,
      0.032363749243047905,
      0.03177915371541117,
      0.031203912949220935,
      0.03063787720795026,
      0.030080899115998143,
      0.029532833591853904,
      0.028993537942859283,
      0.028462871682874206,
      0.027940696612985035,
      0.02742687684737471,
      0.026921278632007502,
      0.02642377038770265,
      0.025934222589922982,
      0.025452507682124873,
      0.024978500282840974,
      0.024512077083198424,
      0.024053116714306936,
      0.023601499679369642,
      0.02315710843966524,
      0.02271982745687835,
      0.022289542887204764,
      0.02186614268745919,
      0.021449516596175427,
      0.021039556183969396,
      0.02063615486453199,
      0.02023920764882795,
      0.019848611217551385,
      0.019464263936285066,
      0.019086065800768166,
      0.018713918369654827,
      0.01834772479223541,
      0.01798738983607169,
      0.01763281976193155,
      0.01728392227453859,
      0.016940606688946248,
      0.016602783657692178,
      0.01627036528501339,
      0.015943265043167006,
      0.015621397872234316,
      0.015304679948328502,
      0.014993028889457988,
      0.014686363661312733,
      0.014384604418953333,
      0.014087672715064493,
      0.013795491351487395,
      0.013507984337381576,
      0.013225076762872634,
      0.01294669510341137,
      0.012672766944015472,
      0.012403220981509575,
      0.012137987164767645,
      0.011876996534488263,
      0.01162018123252645,
      0.011367474350291496,
      0.011118810219782636,
      0.010874124151036316,
      0.01063335246235625,
      0.010396432446754719,
      0.010163302572133439,
      0.009933902176048351,
      0.00970817157141026,
      0.009486052098480881,
      0.009267485850105266,
      0.009052416061888755,
      0.008840786876291173,
      0.008632543244692955,
      0.00842763092744168,
      0.0082259966183386,
      0.008027587976964208,
      0.007832353321774151,
      0.007640241815222664,
      0.007451203569625017,
      0.007265189374870343,
      0.007082150880800554,
      0.006902040572952174,
      0.006724811471245508,
      0.00655041754386129,
      0.006378813437416354,
      0.006209954521652792,
      0.006043796936891329,
      0.005880297421880351,
      0.005719413423901699,
      0.005561103116345454,
      0.005405325291563762,
      0.005252039523781583,
      0.005101205895707777,
      0.004952785032893988,
      0.004806738381704932,
      0.004663028064232416,
      0.0045216167107093915,
      0.004382467560845569,
      0.004245544402089879,
      0.00411081167583574,
      0.003978234286647692,
      0.003847777770170929,
      0.0037194081449219126,
      0.0035930919951524323,
      0.003468796530618114,
      0.003346489406937312,
      0.0032261388213081646,
      0.0031077134956868477,
      0.0029911827258109636,
      0.0028765160250716596,
      0.002763683654095978,
      0.0026526561986058555,
      0.0025434048546823323,
      0.0024359012838042213,
      0.002330117444310887,
      0.0022260257549548646,
      0.0021235992411229292,
      0.002022811256889273,
      0.0019236355970345428,
      0.001826046362106638,
      0.0017300181431239082,
      0.0016355261317925807,
      0.0015425457877069869,
      0.0014510528755506164,
      0.0013610236180391655,
      0.001272434577212067,
      0.0011852627023757154,
      0.0010994853030083707,
      0.0010150800299439967,
      0.0009320248829629265,
      0.0008502983978084929,
      0.0007698792884342564,
      0.0006907466943976719,
      0.0006128799333435539,
      0.0005362587634908972,
      0.0004608632786245597,
      0.00038667398905567664,
      0.000313671503203566,
      0.00024183684608379986,
      0.00017115121932457242,
      0.00010159631532356929,
      3.315406736157045e-05,
      -3.4193306818028736e-05,
      -0.00010046330486188522,
      -0.00016567317682646414,
      -0.00022983994813172658,
      -0.0002929801749373648,
      -0.0003551103589141246,
      -0.00041624668117032885,
      -0.00047640496401866593,
      -0.0005356008541370981,
      -0.0005938497820734287,
      -0.0006511669082401139,
      -0.0007075670745144821,
      -0.0007630650086333098,
      -0.000817675191203705,
      -0.0008714118490129642,
      -0.000924288896373373,
      -0.0009763200787346682,
      -0.0010275189821962846,
      -0.0010778989532868014,
      -0.0011274730112601234,
      -0.0011762540265372716,
      -0.0012242546567979476,
      -0.0012714873201782055,
      -0.0013179644159844225,
      -0.0013636980168826639,
      -0.0014087000056506778,
      -0.001452982057968403,
      -0.0014965557902129863,
      -0.0015394324995748794,
      -0.0015816233612339769,
      -0.0016231393385405372,
      -0.001663991181657178,
      -0.0017041894441026098,
      -0.0017437446706736737,
      -0.001782667095212517,
      -0.0018209667953724006,
      -0.0018586537894209455,
      -0.0018957379865511227,
      -0.0019322290157844349,
      -0.0019681363338744273,
      -0.002003469281355256,
      -0.0020382369857313157,
      -0.0020724484863358767,
      -0.002106112636246812,
      -0.002139238232521608,
      -0.002171833948768184,
      -0.0022039082294150344,
      -0.0022354694373740154,
      -0.0022665256896331884,
      -0.0022970851117111606,
      -0.002327155735971254,
      -0.002356745399788542
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33476778762477,
      10.09367392295863,
      9.84632296276154,
      9.595521452115257,
      9.343733994453844,
      9.093090061049358,
      8.845359107526178,
      8.6019433493773,
      8.363881725846058,
      8.131861406431465,
      7.90625155886501,
      7.6871488291652925,
      7.474428623594535,
      7.2677978287098,
      7.066845391179205,
      6.871088469037036,
      6.680012930042759,
      6.493105456479859,
      6.309879864079449,
      6.129896178471705,
      5.952771248474578,
      5.7781777375882735,
      5.605854053294829,
      5.435623512142878,
      5.2673901755636905,
      5.101126932965231,
      4.9368780280466416,
      4.7747702807212615,
      4.615031657397974,
      4.4579669059790605,
      4.303910380485279,
      4.153222628372917,
      4.0062870130991834,
      3.863493859029889,
      3.725214961851873,
      3.591788643860291,
      3.4635098303725154,
      3.3406228157034152,
      3.2233165324494983,
      3.1117223002697303,
      3.005903825847249,
      2.9058522300465275,
      2.8114843321714704,
      2.722632993301413,
      2.639073263162361,
      2.5605592561096135,
      2.4868379366774738,
      2.4176483859899456,
      2.352721556971003,
      2.291776034586299,
      2.234501112072205,
      2.18051867577126,
      2.1294751779866794,
      2.0810342979761858,
      2.034878733406781,
      1.9907246078862206,
      1.9483439623999106,
      1.9075473077993073,
      1.8681801872237516,
      1.830118932792197,
      1.7932572404884357,
      1.7575004334002104,
      1.7227707039325852,
      1.6890039122982143,
      1.6561458635240203,
      1.6241497161090084,
      1.5929741706340277,
      1.5625821969743776,
      1.5329401338307818,
      1.504017044835287,
      1.475784683485316,
      1.4482177792336175,
      1.4212931764365428,
      1.3949886384752805,
      1.3692860219048992,
      1.344167862229217,
      1.3196164724982635,
      1.2956143053108928,
      1.2721441722805575,
      1.2491893744929536,
      1.226733774352019,
      1.2047618289818436,
      1.1832585998870966,
      1.1622097492249726,
      1.1416017264933476,
      1.1214225402263798,
      1.1016608557309413,
      1.0823059038349658,
      1.0633470597880925,
      1.044773733088763,
      1.0265755012915803,
      1.0087421892195825,
      0.9912639146562373,
      0.9741311112566984,
      0.9573345371373466,
      0.9408652754837702,
      0.9247147282505493,
      0.9088746079168244,
      0.8933369266486261,
      0.878093984692868,
      0.8631385418130041,
      0.8484640181990241,
      0.8340639562139462,
      0.819931967373518,
      0.8060617820705039,
      0.7924472791340652,
      0.7790825009189928,
      0.7659616608839718,
      0.7530791448658991,
      0.740429510522399,
      0.7280074827868852,
      0.715807949118089,
      0.7038259546049838,
      0.6920566962438467,
      0.6804955173516296,
      0.6691379017245437,
      0.6579794678583963,
      0.6470159640771055,
      0.6362432631244758,
      0.6256573572349199,
      0.6152543381690186,
      0.6050303503790526,
      0.5949816559793929,
      0.5851046444100017,
      0.5753958192437871,
      0.5658517889228694,
      0.5564692594815999,
      0.5472450284854817,
      0.5381759804613185,
      0.5292590826205112,
      0.5204913815578728,
      0.5118699998032639,
      0.5033921331371388,
      0.4950555385796929,
      0.4868585090589302,
      0.47879908476444444,
      0.47087510028417867,
      0.46308428033232735,
      0.45542430091239283,
      0.44789282694977134,
      0.44048753620731323,
      0.43320613362726434,
      0.4260463598307112,
      0.4190059961862901,
      0.4120828675766468,
      0.4052748431415256,
      0.39858007161824077,
      0.39199687157363655,
      0.3855234632521306,
      0.3791580156190817,
      0.37289868034750795,
      0.3667436123988485,
      0.3606909830322557,
      0.3547389875108556,
      0.3488858496553369,
      0.3431298753832105,
      0.3374695230452143,
      0.331903242393933,
      0.32642946226718783,
      0.321046609696355,
      0.3157531221659376,
      0.3105474551117342,
      0.3054280876792349,
      0.30039355127089407,
      0.29544241248434594,
      0.29057324930276685,
      0.2857846569053656,
      0.2810752510501948,
      0.2764434956478299,
      0.27188777709656436,
      0.26740661052001347,
      0.26299860648203455,
      0.2586624450921724,
      0.254396859445726,
      0.2502006241674172,
      0.24607254848656962,
      0.24201156113766262,
      0.23801698220943912,
      0.23408811226596102,
      0.23022410801029794,
      0.22642404082465598,
      0.22268693419718497,
      0.21901178770450277,
      0.21539759217159968,
      0.21184333936302954,
      0.20834802829206747,
      0.20491066887283532,
      0.20153028443305163,
      0.19820589586829304,
      0.19493645413705485,
      0.191720926735559,
      0.18855833801750532,
      0.1854477545913021,
      0.18238827552308834,
      0.17937902628968094,
      0.17641915451286083,
      0.17350782707816007,
      0.1706442283492595,
      0.1678275587016992,
      0.16505703376015973,
      0.1623318836180888,
      0.15965135222224613,
      0.15701469706732898,
      0.15442118874812186,
      0.1518701105916915,
      0.14936075841276786,
      0.1468924403289539,
      0.14446447628567888,
      0.1420761979639603,
      0.1397269485820214,
      0.1374160826025321,
      0.13514296561243794,
      0.13290697389194478,
      0.13070749461339995,
      0.12854392522006236,
      0.1264156270468137,
      0.1243218847118131,
      0.12226202520973953,
      0.12023542522157414,
      0.11824149696581573,
      0.11627967905336554,
      0.11434943015318631,
      0.11245022502622795,
      0.11058155184350178,
      0.10874291026261086,
      0.10693381012904754,
      0.10515377087970906,
      0.10340232065468213,
      0.1016789960042365,
      0.09998334147780598,
      0.09831490945008714,
      0.09667325968092981,
      0.09505795944102077,
      0.09346858301397952,
      0.09190471182739046,
      0.09036593423894014,
      0.0888518452956903,
      0.08736204680283126,
      0.08589614706297459,
      0.08445376081313356,
      0.08303450894533909,
      0.08163801863738336,
      0.08026392323184184,
      0.07891186207060769,
      0.07758148028666687,
      0.0762724288046233,
      0.07498436430759096,
      0.07371694902765251,
      0.07246985073440411,
      0.07124274251445424,
      0.07003530285667475,
      0.06884721541627314,
      0.06767816907487306,
      0.06652785776793939,
      0.0653959802485198,
      0.06428224023722685,
      0.06318634630738909,
      0.06210801162904139,
      0.06104695410237277,
      0.06000289622183497,
      0.058975565008671516,
      0.057964691778717034,
      0.05697001235886471,
      0.055991266671121705,
      0.05502819885413053,
      0.0540805572791289,
      0.05314809440393099,
      0.052230566479647446,
      0.051327733997478156,
      0.05043936113293622,
      0.049565215796080676,
      0.04870506975278884,
      0.04785869849351789,
      0.04702588100482844,
      0.046206399916738194,
      0.04540004138715293,
      0.04460659492970635,
      0.04382585353105539,
      0.04305761346346051,
      0.042301674271769174,
      0.04155783872867284,
      0.040825912856288414,
      0.040105705692674014,
      0.03939702942342621,
      0.0386996992385,
      0.03801353329968654,
      0.0373383526108281,
      0.036673981074240705,
      0.036020245574007737,
      0.03537697563497386,
      0.03474400362310997,
      0.03412116450498951,
      0.03350829596751899,
      0.032905238236104875,
      0.03231183408063835,
      0.03172792888888063,
      0.03115337049530722,
      0.030588009191198362,
      0.03003169765511508,
      0.029484290949841865,
      0.02894564639508539,
      0.02841562359508128,
      0.027894084576982663,
      0.027380893454759244,
      0.026875916534397398,
      0.026379022217131662,
      0.025890081121083295,
      0.025408965765840136,
      0.024935550830878915,
      0.02446971307868295,
      0.0240113311907395,
      0.023560285731606543,
      0.023116459266860827,
      0.02267973620867291,
      0.022250002834057724,
      0.021827147164188175,
      0.02141105916204218,
      0.021001630543220236,
      0.020598754619170635,
      0.02020232647096949,
      0.019812242932734044,
      0.01942840239104578,
      0.01905070488955478,
      0.018679052061679347,
      0.018313347158802517,
      0.01795349489386342,
      0.01759940164045062,
      0.017250975205801836,
      0.016908124825758344,
      0.016570761273512355,
      0.01623879677055979,
      0.015912144909944793,
      0.015590720686283362,
      0.015274440398182019,
      0.014963221637966503,
      0.0146569834140161,
      0.014355645979436766,
      0.014059130933001514,
      0.013767361019610352,
      0.013480260330134441,
      0.013197754188073667,
      0.012919768977708211,
      0.012646232396065486,
      0.012377073194617505,
      0.012112221389939004,
      0.011851608058996911,
      0.011595165259620155,
      0.011342826260373074,
      0.011094525437729616,
      0.010850198074263072,
      0.010609780635125026,
      0.010373210448776047,
      0.010140426014022897,
      0.009911366752165767,
      0.00968597296653471,
      0.00946418613636719,
      0.009245948496211655,
      0.00903120326738157,
      0.008819894575213068,
      0.00861196740765759,
      0.008407367654173757,
      0.008206041995031102,
      0.008007938035675451,
      0.007813004170917534,
      0.007621189808891483,
      0.007432444930563002,
      0.007246720396164643,
      0.007063967898548253,
      0.006884139894457466,
      0.006707189526114182,
      0.006533070787199359,
      0.006361738405999186,
      0.0061931477184141315,
      0.006027254849063993,
      0.005864016628059554,
      0.0057033905997872095,
      0.005545334951638781,
      0.00538980864865065,
      0.005236771202871331,
      0.005086182673243959,
      0.004938003807892186,
      0.00479219615713063,
      0.004648721712693408,
      0.004507543159252998,
      0.004368623721683162,
      0.004231927351511676,
      0.004097418483392063,
      0.003965062137500133,
      0.003834823845765015,
      0.0037066695864154922,
      0.003580566000535016,
      0.003456480362677443,
      0.0033343802933909383,
      0.0032142340775854015,
      0.003096010584372464,
      0.002979679011361877,
      0.002865208967285933,
      0.0027525707598493776,
      0.0026417349737379602,
      0.0025326727496549,
      0.0024253557854199896,
      0.0023197561614250817,
      0.002215846351732517,
      0.002113599332339313,
      0.0020129885196519454,
      0.001913987729573359,
      0.001816571176708048,
      0.0017207135130228354,
      0.00162638978562408,
      0.0015335753322868332,
      0.0014422460983025964,
      0.0013523783319578026,
      0.0012639486822188326,
      0.001176934100780137,
      0.001091311993132857,
      0.0010070599453734328,
      0.0009241561963792579,
      0.0008425790809160527,
      0.0007623074224703669,
      0.0006833202269412954,
      0.0006055969821132328,
      0.0005291173989505294,
      0.0004538616691661651,
      0.0003798102792171957,
      0.00030694394641823643,
      0.00023524355597123958,
      0.00016469042957733182,
      9.526619459254949e-05,
      2.6952909349582636e-05,
      -4.026720471118477e-05,
      -0.000106411584587994,
      -0.00017149750234040804,
      -0.00023554185299384442,
      -0.0002985613545393713,
      -0.00036057247991430017,
      -0.000421591324505238,
      -0.0004816336566189863,
      -0.000540715182933546,
      -0.0005988513683826983,
      -0.0006560572679238939,
      -0.0007123476683553905,
      -0.0007677372864092641,
      -0.0008222404955265426,
      -0.0008758715159451806,
      -0.0009286443497112367,
      -0.0009805727148336479,
      -0.001031670156303827,
      -0.0010819499084703968,
      -0.0011314250806664448,
      -0.0011801086067734713,
      -0.0012280131242606758,
      -0.0012751510492969016,
      -0.001321534657216385,
      -0.0013671759972406449,
      -0.0014120869525199435,
      -0.0014562792166860042,
      -0.0014997642634757152,
      -0.001542553474499704,
      -0.0015846579549036305,
      -0.001626088710596354,
      -0.0016668565323392536,
      -0.0017069719682212096,
      -0.0017464454986856183,
      -0.0017852873867471683,
      -0.0018235076801678572,
      -0.001861116397181639,
      -0.001898123317788816,
      -0.001934538123877038,
      -0.001970370195530453,
      -0.002005628902222939,
      -0.0020403234235214156,
      -0.0020744626959571244,
      -0.00210805561983212,
      -0.0021411109160117503,
      -0.002173637268397925,
      -0.0022056431099006105,
      -0.002237136770059615,
      -0.0022681264759930255,
      -0.0022986202891428237,
      -0.002328626137043324,
      -0.002358151774386658
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334764128439367,
      10.093661191341322,
      9.846295154412335,
      9.59547387474539,
      9.34366338812424,
      9.09299425665993,
      8.845236784316784,
      8.601793991985529,
      8.363705319501722,
      8.13165819061282,
      7.906021905715568,
      7.686893155328702,
      7.47414733136466,
      7.267491278732258,
      7.0665138978631,
      6.870732300557867,
      6.679632325817362,
      6.492700689517144,
      6.309451278165651,
      6.129444274929711,
      5.952296735033585,
      5.777681566326988,
      5.605337425224858,
      5.43508791982889,
      5.266837375598568,
      5.100558777623653,
      4.936296564665353,
      4.7741779623668865,
      4.61443177592167,
      4.457362985563753,
      4.303305925665822,
      4.152621146187412,
      4.005692106459656,
      3.862909020508971,
      3.724643424723599,
      3.5912333324898182,
      3.4629733148192896,
      3.3401072802059577,
      3.222823755952925,
      3.1112536496916503,
      3.0054601023081355,
      2.9054336945449624,
      2.8110905975930787,
      2.722263099047559,
      2.638725699500806,
      2.5602323648106418,
      2.486529949670314,
      2.417357385494137,
      2.352445655585098,
      2.291513255606066,
      2.234249167448901,
      2.180275124211121,
      2.1292379052457897,
      2.080801324908719,
      2.0346482213751704,
      1.9904951307467582,
      1.948114464096898,
      1.907316908978358,
      1.8679482079456515,
      1.829884891763405,
      1.793020714804712,
      1.7572611092033876,
      1.722528386275596,
      1.688758489074851,
      1.6558972796277134,
      1.6238979564531528,
      1.592719247237232,
      1.5623241404369936,
      1.5326789871294453,
      1.5037528592891154,
      1.4755175359706323,
      1.4479478312529122,
      1.421020725556364,
      1.3947141243708732,
      1.369009847206673,
      1.3438903043784973,
      1.3193377273048346,
      1.2953345144379729,
      1.2718634420767954,
      1.248907787745729,
      1.2264513981665885,
      1.2044787202097151,
      1.182974808918809,
      1.1619253217919645,
      1.1413167157878743,
      1.1211370116107198,
      1.1013748695338297,
      1.0820195209388357,
      1.063060332052623,
      1.0444867062227747,
      1.026288216283574,
      1.0084546846196456,
      0.9909762273702987,
      0.9738432766176764,
      0.9570465893717974,
      0.9405772479140563,
      0.9244266537912434,
      0.9085865187477719,
      0.8930488546405667,
      0.8778059614162504,
      0.8628507293441856,
      0.848176584120929,
      0.8337770159804436,
      0.8196456024847889,
      0.8057760518511137,
      0.7921622284784313,
      0.7787981655238667,
      0.7656780705644826,
      0.7527963256253805,
      0.7401474853806047,
      0.7277262726913515,
      0.7155275740180561,
      0.7035464334695108,
      0.6917780474745886,
      0.6802177586248898,
      0.6688610502284941,
      0.6577035404186323,
      0.6467409770683477,
      0.6359692326775865,
      0.6253842993843596,
      0.6149822676685083,
      0.6047592810566575,
      0.5947116016932316,
      0.5848356189530158,
      0.5751278364950391,
      0.5655848626365019,
      0.5562034029914712,
      0.5469802546562936,
      0.5379123019117944,
      0.5289965117100097,
      0.5202299302897891,
      0.5116096797974446,
      0.5031329556716159,
      0.4947975983795484,
      0.48660190298553047,
      0.4785438758763862,
      0.4706213296928461,
      0.46283197516228214,
      0.45517347910500744,
      0.4476435005042824,
      0.4402397132003091,
      0.4329598196029636,
      0.42580155884680926,
      0.4187627112139303,
      0.41184110043366845,
      0.40503460161524163,
      0.39834138320235113,
      0.39175975780036876,
      0.38528793683178963,
      0.37892408369644826,
      0.3726663464621863,
      0.3665128776916019,
      0.36046184698058215,
      0.3545114485408465,
      0.34865990565731264,
      0.34290553368650745,
      0.3372467908325151,
      0.33168212243334294,
      0.3262099543094398,
      0.3208287116287012,
      0.31553683068631827,
      0.31033276597545584,
      0.3052149972498081,
      0.3001820567996135,
      0.29523250995976447,
      0.2903649338635644,
      0.28557792296763534,
      0.2808700926715077,
      0.27623991092024686,
      0.2716857641692401,
      0.26720616574592915,
      0.262799725175631,
      0.25846512181062675,
      0.2542010881255599,
      0.25000639848641226,
      0.2458798617012384,
      0.24182040614652603,
      0.23782735161363414,
      0.23389999847805554,
      0.23003750333584283,
      0.22623893745281304,
      0.2225033241893834,
      0.21882966293094652,
      0.21521694428377003,
      0.21166415990397996,
      0.20817030870367664,
      0.2047344005904036,
      0.2013554589789886,
      0.19803250238916836,
      0.194764478733881,
      0.19155035735641737,
      0.18838916391034213,
      0.1852799656972785,
      0.18222186236813334,
      0.17921397967389197,
      0.1762554652382199,
      0.17334548600669897,
      0.17048322640299687,
      0.16766788697071966,
      0.16489868322864784,
      0.1621748453283983,
      0.1594956172986979,
      0.15686025651080926,
      0.15426803343936177,
      0.15171823144008478,
      0.14921014625654025,
      0.1467430860953997,
      0.14431637082679655,
      0.14192933211441058,
      0.13958131316518335,
      0.13727166845527775,
      0.1349997635015715,
      0.13276497467810394,
      0.13056668892485407,
      0.12840430380631745,
      0.12627722701034175,
      0.1241848183787255,
      0.1221263739853363,
      0.12010123714426511,
      0.1181087982666624,
      0.11614848166768238,
      0.11421973684294746,
      0.1123220324751424,
      0.11045485280635702,
      0.108617694954859,
      0.10681006722464378,
      0.10503148790494525,
      0.1032814845679492,
      0.10155959334093727,
      0.0998653585316866,
      0.09819833231965076,
      0.09655807462654473,
      0.09494415266373823,
      0.09335614073940565,
      0.09179362031279849,
      0.09025617979323143,
      0.08874341447118139,
      0.08725492614255599,
      0.0857903230799492,
      0.08434922004874384,
      0.08293123814873841,
      0.08153600481827576,
      0.0801631534852078,
      0.07881232337608526,
      0.07748315985141205,
      0.07617531399633737,
      0.07488844254389561,
      0.07362220777025179,
      0.07237627755030063,
      0.07115032513740732,
      0.06994402910282302,
      0.06875707326239387,
      0.06758914645389208,
      0.06643994269534094,
      0.06530916082453347,
      0.06419650476380001,
      0.06310168310714308,
      0.062024409157002636,
      0.06096440095585374,
      0.05992138113535749,
      0.05889507669654425,
      0.05788521903186317,
      0.05689154405283023,
      0.05591379186360045,
      0.05495170672713664,
      0.0540050370529792,
      0.053073535324547096,
      0.05215695809549509,
      0.05125506582668261,
      0.050367622702558616,
      0.04949439685630742,
      0.04863516018971021,
      0.047789688140770024,
      0.04695775986206465,
      0.04613915801866177,
      0.04533366887961694,
      0.044541082028487035,
      0.04376119056997823,
      0.042993790891926,
      0.042238682605189565,
      0.04149566861354419,
      0.040764554909679264,
      0.04004515066662992,
      0.03933726818790703,
      0.03864072280653616,
      0.037955332725594176,
      0.03728091905747948,
      0.03661730581998979,
      0.03596432000434631,
      0.03532179107523968,
      0.034689551553074356,
      0.03406743650661609,
      0.033455283673051034,
      0.03285293329540364,
      0.032260228294294736,
      0.031677014131633985,
      0.031103138779887737,
      0.030538452541758857,
      0.029982808209647282,
      0.029436060910586623,
      0.028898068074448623,
      0.028368689430121184,
      0.027847786921701225,
      0.027335224824070213,
      0.02683086938381203,
      0.026334589212326037,
      0.025846255020234767,
      0.025365739467708474,
      0.024892917321630022,
      0.0244276652963744,
      0.02396986218852677,
      0.02351938872060858,
      0.023076127532231684,
      0.022639962987984097,
      0.02221078140549667,
      0.021788471061863712,
      0.021372921877236953,
      0.020964025543499305,
      0.02056167543719978,
      0.020165766749277676,
      0.019776196347879672,
      0.019392862698857122,
      0.019015666027954434,
      0.01864450799332027,
      0.01827929189837037,
      0.017919922662753062,
      0.01756630659597705,
      0.017218351564728958,
      0.01687596690522351,
      0.01653906342417603,
      0.016207553392692052,
      0.01588135041873754,
      0.01556036951546986,
      0.015244527092753249,
      0.014933740915487203,
      0.01462792998476914,
      0.01432701456396474,
      0.01403091631761939,
      0.013739558169736214,
      0.013452864141546776,
      0.013170759568661115,
      0.01289317101821029,
      0.01262002616635136,
      0.012351253864434416,
      0.012086784089057947,
      0.011826547953549487,
      0.01157047776221398,
      0.011318506859354432,
      0.011070569519583712,
      0.010826601167233163,
      0.010586538265202311,
      0.010350318286880551,
      0.010117879718864008,
      0.00988916195972098,
      0.009664105419212641,
      0.009442651500877306,
      0.009224742582008009,
      0.009010321914692912,
      0.008799333632298538,
      0.00859172277203125,
      0.00838743534542201,
      0.008186418120096477,
      0.007988618767233746,
      0.007793985681570028,
      0.00760246813507298,
      0.0074140164406407095,
      0.007228581445172076,
      0.007046114833192077,
      0.00686656906420547,
      0.006689897478764313,
      0.006516053930878191,
      0.006344993224046673,
      0.006176670800219266,
      0.0060110427302613985,
      0.005848065866004085,
      0.005687697855442133,
      0.005529896944670128,
      0.005374622074769134,
      0.00522183283508885,
      0.00507148938750128,
      0.004923552564377628,
      0.004777983854839234,
      0.004634745374514989,
      0.004493799735818701,
      0.004355110231882814,
      0.004218640788099472,
      0.004084355826764004,
      0.003952220490154895,
      0.0038222003317131595,
      0.0036942615055270173,
      0.00356837059503388,
      0.003444494800068938,
      0.0033226019035126285,
      0.0032026602020537144,
      0.0030846385408347813,
      0.0029685061337859217,
      0.0028542326085845633,
      0.0027417883512453837,
      0.0026311440717621645,
      0.002522270988411162,
      0.002415140651079342,
      0.002309725141203149,
      0.002205997134126672,
      0.0021039295117335605,
      0.002003495720397825,
      0.0019046695840810284,
      0.0018074253351522697,
      0.0017117377359637475,
      0.0016175818269118527,
      0.0015249330830289323,
      0.0014337674831752655,
      0.0013440612628676807,
      0.0012557909992444857,
      0.0011689336971441031,
      0.0010834667052404502,
      0.0009993677861217596,
      0.0009166150736194481,
      0.0008351870376730852,
      0.0007550624571966882,
      0.000676220470258093,
      0.0005986405876664355,
      0.0005223025743480628,
      0.00044718652256058294,
      0.0003732727609902804,
      0.00030054215303343797,
      0.0002289757859116374,
      0.00015855505582864905,
      8.926160745868334e-05,
      2.1077293670639688e-05,
      -4.601559016959528e-05,
      -0.00011203447777251344,
      -0.00017699654925202424,
      -0.0002409187668490594,
      -0.0003038177697780932,
      -0.0003657099523553696,
      -0.0004266113754526317,
      -0.00048653791250167285,
      -0.0005455051654693768,
      -0.0006035284687478891,
      -0.0006606230066516857,
      -0.0007168035359115062,
      -0.000772084704354638,
      -0.000826480974930653,
      -0.0008800065361421036,
      -0.0009326752877230808,
      -0.0009845009652021427,
      -0.0010354970666759593,
      -0.0010856768930463097,
      -0.0011350534919553187,
      -0.0011836396838403225,
      -0.0012314481567187831,
      -0.0012784913694045118,
      -0.001324781549890686,
      -0.0013703307050016735,
      -0.0014151507693524613,
      -0.0014592532769692633,
      -0.0015026498390398645,
      -0.0015453517760469306,
      -0.0015873701494617113,
      -0.0016287159451875942,
      -0.0016693999639599665,
      -0.001709432730203061,
      -0.0017488246669141278,
      -0.0017875860475526633,
      -0.0018257269981429615,
      -0.0018632574289824345,
      -0.0019001870926077234,
      -0.0019365255392686054,
      -0.0019722823391899566,
      -0.0020074667063048482,
      -0.0020420878145306714,
      -0.002076154801954932,
      -0.002109676456864436,
      -0.002142661512929601,
      -0.0021751186518182467,
      -0.002207056251032302,
      -0.002238482575702435,
      -0.0022694058685032745,
      -0.002299834089165673,
      -0.002329775143013613,
      -0.0023592369439192555
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334760462541167,
      10.093648436502196,
      9.84626729893157,
      9.595426221381913,
      9.343592670409176,
      9.092898303125088,
      8.845114275067678,
      8.601644408977263,
      8.363528647527177,
      8.13145467005309,
      7.905791908370931,
      7.686637095157956,
      7.473865610839999,
      7.2671842582983,
      7.066181890957375,
      6.870375574541818,
      6.679251120457308,
      6.4922952766536035,
      6.309022001371208,
      6.128991636571579,
      5.951821445161901,
      5.777184578862151,
      5.604819940380489,
      5.434551430455888,
      5.266283639612564,
      5.099989648122069,
      4.9357140897338585,
      4.773584595793741,
      4.613830815359177,
      4.456757960065193,
      4.302700344276482,
      4.1520185202357265,
      4.005096043658255,
      3.862323017832613,
      3.724070719349529,
      3.5906768520885843,
      3.4624356328810832,
      3.3395905834264497,
      3.222329824996322,
      3.1107838533178476,
      3.0050152430502854,
      2.9050140343542856,
      2.810695750939469,
      2.7218921070220414,
      2.638377053695047,
      2.559904408197014,
      2.48622091388073,
      2.4170653531395665,
      2.3521687390244934,
      2.2912494774232277,
      2.2339962386982153,
      2.180030602512574,
      2.1289996764487658,
      2.0805674105675203,
      2.0344167840620337,
      1.990264745043523,
      1.9478840753639581,
      1.9070856813626393,
      1.8677154486068874,
      1.829650109880496,
      1.7927834803057188,
      1.7570211029838816,
      1.7222854093408013,
      1.6885124259216724,
      1.6556480736336054,
      1.6236455906663663,
      1.5924637324351787,
      1.5620655064054585,
      1.5324172765135398,
      1.5034881230560806,
      1.4752498504768612,
      1.4476773975541124,
      1.4207478268652403,
      1.394439189436185,
      1.3687332720253997,
      1.3436123627318493,
      1.3190586119785734,
      1.2950543650143587,
      1.27158236341215,
      1.24862586142045,
      1.2261686904163616,
      1.2041952875080812,
      1.1826907016192476,
      1.1616405858812289,
      1.1410314039906944,
      1.1208511891688755,
      1.1010885972072146,
      1.0817328596801845,
      1.0627733337382008,
      1.0441994161189416,
      1.026000675699799,
      1.0081669321234603,
      0.990688299481186,
      0.9735552081843153,
      0.9567584145482497,
      0.9402890000572118,
      0.9241383656027815,
      0.9082982225578611,
      0.8927605820718674,
      0.8775177707069506,
      0.8625627944671017,
      0.8478890581604384,
      0.8334900043953392,
      0.8193591801415668,
      0.8054902742766537,
      0.7918771381978168,
      0.7785137966003132,
      0.7653944513775846,
      0.7525134810131852,
      0.7398654376936591,
      0.7274450428302368,
      0.7152471815913078,
      0.7032668973706384,
      0.6914993858874434,
      0.6799399892723689,
      0.6685841903305833,
      0.6574276066900248,
      0.6464659861393236,
      0.6356952007422906,
      0.6251112419409319,
      0.6147101996308911,
      0.6044882161949297,
      0.594441553868524,
      0.5845666020476153,
      0.5748598642593278,
      0.5653179486551165,
      0.5559375605910688,
      0.5467154967039768,
      0.5376486410127177,
      0.528733960092393,
      0.5199684998603556,
      0.5113493821137542,
      0.5028738025681191,
      0.49453968494580647,
      0.4863453257460666,
      0.4782886972837926,
      0.47036759041385,
      0.4625797019601499,
      0.45492268971853533,
      0.44739420691311643,
      0.43999192366971757,
      0.43271353997307954,
      0.4255567930199804,
      0.41851946175741567,
      0.41159936940212105,
      0.4047944027847786,
      0.3981027464462475,
      0.3915227011387751,
      0.3850524708849073,
      0.37869021434815886,
      0.3724340763835151,
      0.36628220744167417,
      0.36023277579120205,
      0.35428397464755207,
      0.3484340264834039,
      0.34268125617221207,
      0.33702412192420905,
      0.33146106481481996,
      0.3259905078492965,
      0.3206108743441776,
      0.315320599264766,
      0.3101181363394273,
      0.3050019656119687,
      0.29997062036185274,
      0.29502266459644794,
      0.2901566746360472,
      0.2853712444544789,
      0.2806649890278961,
      0.2760363800553196,
      0.2714838042258558,
      0.2670057731836323,
      0.2626008952358764,
      0.25826784910319006,
      0.2540053667399667,
      0.24981222198523154,
      0.24568722341516475,
      0.24162929869100977,
      0.23763776659173974,
      0.23371192761623025,
      0.22985093842260443,
      0.22605387028915452,
      0.22231974657628462,
      0.21864756660437248,
      0.215036320899496,
      0.21148500109729282,
      0.20799260609636305,
      0.20455814567017366,
      0.20118064301503624,
      0.19785911454049998,
      0.19459250518890947,
      0.19137978611174444,
      0.18821998422315114,
      0.18511216761880522,
      0.18205543633033877,
      0.1790489163692675,
      0.17609175562716511,
      0.17318312114687268,
      0.1703221973675677,
      0.16750818475302198,
      0.1647402990788603,
      0.16201777025698866,
      0.15933984227829123,
      0.15670577251790824,
      0.1541148315343289,
      0.1515663026299817,
      0.14905948161205396,
      0.14659367640944684,
      0.14416820697152474,
      0.14178240497137956,
      0.13943561370192392,
      0.13712718744528266,
      0.13485649173935724,
      0.13262290293958767,
      0.13042580810537543,
      0.1282646047405728,
      0.12613870045128073,
      0.12404751300280381,
      0.12199040276300568,
      0.11996667732811883,
      0.11797569515982048,
      0.1160168597271096,
      0.11408960681513247,
      0.11219339636075645,
      0.11032770675508063,
      0.10849203141249227,
      0.10668587618123283,
      0.10490875785333345,
      0.103160203004749,
      0.10143974715506582,
      0.09974693430788782,
      0.09808131638611954,
      0.09644245313332413,
      0.09482991169800692,
      0.09324326654241645,
      0.09168209918530104,
      0.09014599803940165,
      0.08863455838048963,
      0.08714738213030038,
      0.08568407773595288,
      0.08424426014537104,
      0.08282755059204101,
      0.08143357642788188,
      0.08006197113646249,
      0.07871237413231794,
      0.07738443085871324,
      0.07607779244833242,
      0.07479211573570865,
      0.07352706321317876,
      0.07228230279131054,
      0.07105750774750107,
      0.06985235674786297,
      0.06866653372976836,
      0.06749972777515309,
      0.06635163281448454,
      0.06522194794699913,
      0.06411037707953583,
      0.06301662892703683,
      0.06194041704025905,
      0.06088145948528065,
      0.059839478924771684,
      0.058814202420418515,
      0.057805361592158155,
      0.056812692297951876,
      0.055835934743079754,
      0.054874833357390906,
      0.05392913667255216,
      0.05299859729717631,
      0.052082971834504964,
      0.05118202074157919,
      0.05029550847959139,
      0.04942320317047807,
      0.04856487671310569,
      0.047720304747393555,
      0.046889266576180366,
      0.046071544915899834,
      0.04526692600735536,
      0.04447519961227281,
      0.04369615899163359,
      0.04292960053790174,
      0.04217532395022304,
      0.04143313226972369,
      0.040702831609100806,
      0.03998423126682452,
      0.039277143496552,
      0.038581383641249516,
      0.037896770097720994,
      0.037223124054366966,
      0.03656026974551283,
      0.03590803405546846,
      0.03526624669608912,
      0.034634740185235824,
      0.03401334965770128,
      0.033401912889940474,
      0.032800270322340834,
      0.03220826498337881,
      0.031625742296587794,
      0.031052550310517665,
      0.030488539512285678,
      0.029933562746129322,
      0.029387475217340413,
      0.02885013444824027,
      0.028321400160155757,
      0.027801134424900502,
      0.027289201659998395,
      0.026785468270221453,
      0.026289802799562462,
      0.025802075996092112,
      0.025322160630604953,
      0.024849931520665967,
      0.024385265492522637,
      0.02392804140797296,
      0.023478140097565253,
      0.02303544419934347,
      0.022599838246754947,
      0.02217120860455243,
      0.021749443475634,
      0.02133443300398885,
      0.020926068920873175,
      0.020524244763347757,
      0.020128855749961115,
      0.01973979877739148,
      0.019356972366495955,
      0.01898027667818171,
      0.018609613676029375,
      0.018244886563697865,
      0.017886000194616156,
      0.01753286118258112,
      0.01718537744035492,
      0.01684345837238912,
      0.016507014754762274,
      0.01617595893281131,
      0.015850204668436518,
      0.01552966697988637,
      0.015214262381429186,
      0.014903908606728937,
      0.014598524725358086,
      0.014298031232667187,
      0.01400234972520916,
      0.013711403133989676,
      0.01342511563858039,
      0.013143412637110441,
      0.01286622060613924,
      0.01259346734683723,
      0.012325081835384525,
      0.01206099407783776,
      0.011801135185613286,
      0.011545437531512414,
      0.01129383442072857,
      0.01104626028101655,
      0.010802650634280798,
      0.010562942009268468,
      0.010327071934165136,
      0.010094978856801174,
      0.009866602405899663,
      0.009641882925109615,
      0.009420761875121475,
      0.009203181654845474,
      0.00898908554723031,
      0.00877841776375793,
      0.008571123391019292,
      0.008367148404379942,
      0.008166439576510292,
      0.007968944682317078,
      0.007774612293828709,
      0.007583391814001269,
      0.007395233296864021,
      0.007210087728923584,
      0.007027906849388661,
      0.0068486431643565914,
      0.0066722499703533444,
      0.0064986813619236465,
      0.006327892038633099,
      0.006159837528162291,
      0.005994474088026353,
      0.005831758502114799,
      0.005671648438718754,
      0.005514102201510527,
      0.005359078624513133,
      0.005206537418532967,
      0.0050564388795094894,
      0.004908743840748741,
      0.004763413792660865,
      0.004620410878201282,
      0.0044796977121511735,
      0.00434123776881868,
      0.004204994965133373,
      0.004070933830810736,
      0.003939019413456736,
      0.003809217370600898,
      0.003681493815561417,
      0.003555815419974951,
      0.0034321494674417275,
      0.0033104637441182813,
      0.003190726431277772,
      0.003072906425808442,
      0.0029569730780942913,
      0.0028428961926330767,
      0.0027306459030650584,
      0.0026201930321557484,
      0.0025115088117264326,
      0.002404564935146336,
      0.0022993335416370566,
      0.0021957870750825884,
      0.0020938986657466846,
      0.0019936418083428597,
      0.0018949902963386028,
      0.0017979184497752471,
      0.0017024009253046352,
      0.001608412877701505,
      0.0015159297794170269,
      0.00142492759174601,
      0.0013353826319691363,
      0.001247271601387142,
      0.0011605713603324815,
      0.0010752594289404921,
      0.000991313618744982,
      0.0009087120093415319,
      0.0008274331042049203,
      0.000747455733345235,
      0.0006687590148155255,
      0.000591322406411342,
      0.0005151257457883336,
      0.00044014912667360447,
      0.0003663730563069453,
      0.00029377846150518917,
      0.00022234629564938727,
      0.00015205801106678036,
      8.289507893964215e-05,
      1.4839578389303816e-05,
      -5.2126172943062955e-05,
      -0.0001180196757540488,
      -0.0001828580187170001,
      -0.00024665816178530523,
      -0.0003094366401224067,
      -0.0003712099473552523,
      -0.00043199411023651035,
      -0.0004918049426400184,
      -0.0005506580630168005,
      -0.0006085687392939951,
      -0.0006655521461601316,
      -0.0007216231192458624,
      -0.000776796264397153,
      -0.0008310858811328175,
      -0.0008845061718444232,
      -0.0009370710745794396,
      -0.0009887943243801877,
      -0.0010396893478775398,
      -0.0010897693608193017,
      -0.001139047438938056,
      -0.0011875364483639515,
      -0.0012352490071766411,
      -0.0012821975857454345,
      -0.0013283944285932066,
      -0.0013738515132234498,
      -0.001418580769054759,
      -0.0014625937679239075,
      -0.0015059019604495042,
      -0.0015485166509327031,
      -0.0015904489400006216,
      -0.0016317098254353694,
      -0.00167231009912603,
      -0.0017122602746522707,
      -0.0017515707561695662,
      -0.0017902517454679698,
      -0.00182831333286116,
      -0.0018657654732760671,
      -0.0019026179616300886,
      -0.001938880395087073,
      -0.001974562172551007,
      -0.0020096725888133025,
      -0.0020442207501682485,
      -0.0020782156800462836,
      -0.0021116662272896766,
      -0.0021445810435708613,
      -0.0021769688083831474,
      -0.0022088380467236647,
      -0.0022401970543134476,
      -0.0022710538984818326,
      -0.0023014166090243237,
      -0.0023312931457173214,
      -0.002360691264436074
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334756792473456,
      10.093635665960221,
      9.846239406398881,
      9.59537850183325,
      9.343521852685138,
      9.092802211164134,
      8.84499158360966,
      8.601494598474375,
      8.363351699898567,
      8.131250821513708,
      7.9055615298397255,
      7.68638060355928,
      7.473583410241986,
      7.266876710750004,
      7.065849311571202,
      6.870018232702381,
      6.678869257998213,
      6.491889167250039,
      6.308591990680585,
      6.128538229975099,
      5.9513453535773655,
      5.7766867559242705,
      5.604301588392247,
      5.434014044662099,
      5.265728980426951,
      5.099419571631852,
      4.935130647158196,
      4.772990244127082,
      4.613228854311558,
      4.456151923840848,
      4.302093746241704,
      4.151414875029026,
      4.004498962827158,
      3.861736003424531,
      3.723497012813658,
      3.5901193841630454,
      3.461896980052489,
      3.339072935137061,
      3.2218349630280265,
      3.1103131470949963,
      3.0045694964088407,
      2.9045935092308466,
      2.8103000603128265,
      2.721520291000052,
      2.638027602634965,
      2.5595756636931988,
      2.4859111070930977,
      2.4167725658993744,
      2.3518910838814375,
      2.290984975469988,
      2.2337425941416926,
      2.179785374420289,
      2.1287607510087465,
      2.0803328090414817,
      2.0341846708111637,
      1.9900336971219825,
      1.9476530388220084,
      1.906853820707766,
      1.8674820708577746,
      1.8294147243665815,
      1.7925456573266985,
      1.75678052311798,
      1.7220418738387153,
      1.6882658197379874,
      1.6553983395497758,
      1.6233927117650806,
      1.5922077194014705,
      1.5618063885061229,
      1.532155095504207,
      1.5032229296153683,
      1.4749817206168492,
      1.4474065659656488,
      1.4204745645335881,
      1.394163918402682,
      1.3684563831350511,
      1.3433341254099187,
      1.3187792164195067,
      1.2947739488569836,
      1.2713010296596137,
      1.2483436911127341,
      1.2258857496987905,
      1.2039116325553427,
      1.1824063820251463,
      1.1613556471763529,
      1.1407458995629371,
      1.1205651841630972,
      1.1008021511727046,
      1.081446033127153,
      1.0624861776992038,
      1.0439119756836213,
      1.0257129922622277,
      1.0078790441405199,
      0.9904002432191706,
      0.973267018706943,
      0.9564701257782319,
      0.9400006451327642,
      0.9238499768668262,
      0.9080098317917139,
      0.8924722209724995,
      0.8772295391549837,
      0.8622748847039298,
      0.8476016003478821,
      0.8332030897836528,
      0.8190728747111887,
      0.8052046271718339,
      0.791592187743189,
      0.7782295743725248,
      0.7651109844424658,
      0.7522307935308862,
      0.7395835515638235,
      0.7271639786518299,
      0.7149669589215242,
      0.7029875346149379,
      0.6912209011182217,
      0.6796624000949768,
      0.6683075136119843,
      0.6571518592685593,
      0.6461911843549931,
      0.6354213604145784,
      0.6248383789731887,
      0.614438328520172,
      0.6042173507172112,
      0.5941717083395761,
      0.5842977904659781,
      0.5745921003058866,
      0.5650512457351445,
      0.5556719317669158,
      0.5464509551543257,
      0.5373851993912777,
      0.5284716305909731,
      0.519707294391679,
      0.5110893121306983,
      0.5026149230503929,
      0.4942821090707217,
      0.48608912630388,
      0.47803392186619525,
      0.4701142702910805,
      0.4623278579215572,
      0.4546723355060439,
      0.4471453519640923,
      0.4397445746183961,
      0.4324677012978704,
      0.4253124680088547,
      0.4182766529303332,
      0.4113580783407217,
      0.4045546430517997,
      0.3978645479857086,
      0.3912860820202352,
      0.3848174416293307,
      0.37845678079477213,
      0.37220224116161243,
      0.3660519711222334,
      0.3600041375952917,
      0.35405693276432726,
      0.3482085784061162,
      0.3424574091167157,
      0.33680188286109825,
      0.3312404364167341,
      0.32577149004013506,
      0.32039346502114574,
      0.31510479509919465,
      0.3099039330487246,
      0.3047893594846859,
      0.2997596085113158,
      0.29481324306400386,
      0.289948838409111,
      0.28516498801334333,
      0.28046030665868776,
      0.27583326992585155,
      0.27128226451002657,
      0.26680580039886675,
      0.26240248481065453,
      0.2580709955055834,
      0.253810063677682,
      0.24961846302064683,
      0.24549500196764196,
      0.24143860691816865,
      0.23744859503906565,
      0.23352426741748325,
      0.22966478105790777,
      0.22586920740711808,
      0.22213656984071156,
      0.21846586764166429,
      0.21485609140999876,
      0.2113062327747065,
      0.20781529055929576,
      0.20438227446823867,
      0.20100620748099482,
      0.19768610377161996,
      0.19442090536439918,
      0.19120958539847246,
      0.18805117192342807,
      0.18494473374216897,
      0.18188937139623373,
      0.17888421117261893,
      0.17592840115681704,
      0.173021108466143,
      0.1701615175450789,
      0.16734882890755615,
      0.16458225821357858,
      0.16186103550632489,
      0.15918440472195722,
      0.15655162317873678,
      0.15396196143889915,
      0.15141470275441343,
      0.1489091428841902,
      0.14644458978672314,
      0.14402036333383858,
      0.14163579522988046,
      0.13929022869718602,
      0.1369830181949291,
      0.134713529170567,
      0.13248113795804,
      0.13028523161924166,
      0.12812520752530845,
      0.1260004733757074,
      0.12391044691201397,
      0.12185455578375079,
      0.11983216300577723,
      0.11784258740729532,
      0.11588520169817781,
      0.11395942158561993,
      0.11206469379179972,
      0.11020048812945014,
      0.10836629250449245,
      0.10656160916044372,
      0.10478595249942696,
      0.10303884774788635,
      0.10131982939182288,
      0.09962844087207838,
      0.09796423388999062,
      0.09632676799583997,
      0.09471561029324378,
      0.09313033497860185,
      0.09157052364264034,
      0.09003576477031876,
      0.08852565381857902,
      0.08703979273257621,
      0.08557778994587494,
      0.08413926047958764,
      0.08272382571801368,
      0.08133111320027159,
      0.07996075644662723,
      0.07861239504744987,
      0.0772856744209327,
      0.07598024576011311,
      0.07469576611179217,
      0.07343189805364331,
      0.0721883096139898,
      0.07096467420454199,
      0.06976067057305052,
      0.06857598271138315,
      0.0674102996366705,
      0.06626331562942478,
      0.06513472981689912,
      0.06402424622268728,
      0.06293157368147106,
      0.06185642578125639,
      0.060798520600118366,
      0.059757580870454886,
      0.05873333392114009,
      0.057725511472361046,
      0.05673384945560767,
      0.05575808820265784,
      0.05479797220555858,
      0.053853250013103225,
      0.0529236743175302,
      0.0520090018723033,
      0.05110899313548595,
      0.05022341273830211,
      0.049352029075622104,
      0.048494614085620134,
      0.047650943341738396,
      0.04682079623794757,
      0.04600395573665522,
      0.0452002081974446,
      0.044409343478847785,
      0.0436311546658154,
      0.04286543836602269,
      0.042111994446904194,
      0.04137062594112974,
      0.04064113905652152,
      0.03992334320702001,
      0.039217050853169275,
      0.03852207738555517,
      0.037838241229548084,
      0.03716536371670815,
      0.03650326905321323,
      0.03585178424200894,
      0.03521073914334537,
      0.03457996628166876,
      0.03395930085386735,
      0.03334858081805914,
      0.03274764675086259,
      0.03215634168314015,
      0.0315745111934999,
      0.031002003415762047,
      0.030438668789360974,
      0.029884360251348906,
      0.029338933100734516,
      0.028802244916452877,
      0.028274155649699276,
      0.027754527356354072,
      0.027243224491071583,
      0.02674011358726663,
      0.026245063256796573,
      0.02575794435050088,
      0.02527862968832507,
      0.024806994127858487,
      0.024342914609204618,
      0.0238862700424153,
      0.02343694120883951,
      0.022994810898966104,
      0.02255976376519168,
      0.022131686290383246,
      0.02171046678216148,
      0.02129599529829388,
      0.020888163712458448,
      0.020486865544934337,
      0.020091996220165262,
      0.019703452669807924,
      0.019321133533309023,
      0.018944938958028346,
      0.018574770895143367,
      0.018210532899949304,
      0.017852129842874133,
      0.01749946820485012,
      0.017152455971545903,
      0.01681100262897753,
      0.016475019152333525,
      0.01614441794318382,
      0.01581911267702191,
      0.015499018499274923,
      0.015184051940740483,
      0.014874130800208205,
      0.014569174248404468,
      0.014269102835524265,
      0.013973838224145562,
      0.013683303397534605,
      0.013397422605645689,
      0.01311612121412066,
      0.012839325927213163,
      0.012566964493776452,
      0.012298965907535426,
      0.012035260306481896,
      0.011775778876998919,
      0.011520453870307056,
      0.011269218820275973,
      0.011022008148881384,
      0.010778757373548173,
      0.010539403127539768,
      0.010303883006778902,
      0.010072135598822238,
      0.009844100394270205,
      0.009619717842183776,
      0.00939892958716153,
      0.009181678030441422,
      0.008967906370985242,
      0.00875755898068065,
      0.008550580995199623,
      0.008346918378612702,
      0.008146518124831541,
      0.007949327928732921,
      0.007755296267214598,
      0.007564372629441264,
      0.007376507331433855,
      0.007191651276662777,
      0.00700975625314118,
      0.006830774839540593,
      0.006654660346372028,
      0.006481366823547525,
      0.006310849128216681,
      0.006143062817534844,
      0.005977964018702815,
      0.005815509752981594,
      0.00565565770338972,
      0.00549836612509029,
      0.005343594031239001,
      0.00519130102578329,
      0.005041447443988945,
      0.004893994221963628,
      0.004748902985349825,
      0.004606135892199122,
      0.004465655535169465,
      0.0043274253739353525,
      0.004191409362400772,
      0.0040575719981516874,
      0.003925878354977946,
      0.003796294149207284,
      0.003668785636975758,
      0.0035433195771857355,
      0.00341986323458301,
      0.003298384442074154,
      0.0031788514746503614,
      0.0030612331026695604,
      0.0029454986982616876,
      0.002831618159606633,
      0.0027195617232219733,
      0.0026093001841545264,
      0.002500804876487595,
      0.0023940474337243592,
      0.0022890000019221775,
      0.002185635231856413,
      0.002083926178336247,
      0.0019838463024691123,
      0.0018853693990797343,
      0.001788469869433251,
      0.001693122512438083,
      0.0015993023557248284,
      0.0015069849839260678,
      0.0014161463536753638,
      0.0013267627627977412,
      0.0012388108846522392,
      0.001152267759114697,
      0.001067110918754561,
      0.0009833181351574327,
      0.0009008674781414738,
      0.0008197374966826862,
      0.000739907033054128,
      0.0006613552604655247,
      0.0005840617094959848,
      0.0005080061687083561,
      0.00043316885348144746,
      0.0003595302771899201,
      0.000287071225738828,
      0.00021577284753776418,
      0.0001456164966721228,
      7.658395892533062e-05,
      8.657144609973527e-06,
      -5.818165775180218e-05,
      -0.00012394991481706554,
      -0.00018866468774916858,
      -0.0002523428840192004,
      -0.00031500104993983615,
      -0.00037665556299676503,
      -0.00043732247969560585,
      -0.0004970176942711496,
      -0.0005557566320121194,
      -0.0006135546915431732,
      -0.0006704268915748095,
      -0.0007263881972818134,
      -0.0007814532483467441,
      -0.0008356361997905351,
      -0.0008889513059645563,
      -0.0009414123718849478,
      -0.000993033163752868,
      -0.001043827189539428,
      -0.0010938075101321436,
      -0.0011429871851747907,
      -0.0011913790761626452,
      -0.001238995839686319,
      -0.0012858499644072205,
      -0.0013319536229324626,
      -0.0013773188340388482,
      -0.0014219574209922536,
      -0.0014658810003667856,
      -0.0015091009134061489,
      -0.0015516284805411928,
      -0.0015934747974170685,
      -0.0016346509123316944,
      -0.0016751674750459123,
      -0.001715035135029058,
      -0.0017542641822582755,
      -0.0017928648487031244,
      -0.001830847195628767,
      -0.0018682212804166075,
      -0.0019049966741785899,
      -0.0019411829767796863,
      -0.0019767896826299474,
      -0.00201182612889767,
      -0.0020463013285874554,
      -0.002080224190470831,
      -0.0021136036557894275,
      -0.0021464485869972265,
      -0.0021787674336509063,
      -0.0022105686028103142,
      -0.0022418603775207478,
      -0.0022726509110172753,
      -0.0023029482398299814,
      -0.0023327602388674173,
      -0.0023620946714576893
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334753117727299,
      10.093622881599572,
      9.84621148790144,
      9.595330740530509,
      9.343450975606334,
      9.09270603983483,
      8.844868792706343,
      8.601344666528595,
      8.363174608880929,
      8.131046809886419,
      7.905330967265767,
      7.686123904653508,
      7.473300977231011,
      7.26656890490149,
      7.065516447332519,
      6.869660579302602,
      6.678487056207369,
      6.491482690467865,
      6.308161584093415,
      6.128084399077617,
      5.950868810113857,
      5.7761884546417095,
      5.603782732770618,
      5.433476130653423,
      5.265173768592231,
      5.098848917848404,
      4.934546603380782,
      4.7723952696586975,
      4.612626252436733,
      4.455545231646056,
      4.301486480458587,
      4.1508105541867675,
      4.003901202818732,
      3.861148308681269,
      3.722922626763501,
      3.589561240680849,
      3.461357657725076,
      3.33855462412129,
      3.221339446740755,
      3.1098417953585975,
      3.0041231126128767,
      2.904172355088117,
      2.8099037491567986,
      2.7211478623968173,
      2.63767754667686,
      2.5592463218897095,
      2.485600704373257,
      2.416479184750141,
      2.351612836669638,
      2.290719883831595,
      2.233488361092618,
      2.179539559371992,
      2.128521215331904,
      2.080097564671383,
      2.03395189526548,
      1.9898019773771174,
      1.9474213287513698,
      1.9066212900717736,
      1.8672480310549826,
      1.8291786880275611,
      1.792307196083964,
      1.7565393187483505,
      1.7217977274666674,
      1.6880186163473634,
      1.655148022061208,
      1.6231392629564119,
      1.5919511497228547,
      1.5615467271664305,
      1.5318923844849415,
      1.5029572186347622,
      1.474713085630477,
      1.4471352412446097,
      1.4202008208952666,
      1.393888177570086,
      1.3681790365572912,
      1.3430554431280537,
      1.3184993880397675,
      1.294493111959137,
      1.2710192874663817,
      1.2480611239449542,
      1.225602423318611,
      1.2036276026349868,
      1.1821216976919262,
      1.1610703534303461,
      1.1404600489447962,
      1.1202788417744673,
      1.1005153768673757,
      1.0811588870532036,
      1.062198710726751,
      1.0436242330938654,
      1.025425015030313,
      1.0075908701533098,
      0.9901119085299486,
      0.9729785584232701,
      0.9561815738202214,
      0.9397120345394339,
      0.9235613402447842,
      0.9077212013471002,
      0.8921836279220685,
      0.8769411090184689,
      0.8619867988943067,
      0.8473139825817244,
      0.8329160267863045,
      0.8187864292885026,
      0.8049188465857464,
      0.7913071095972358,
      0.777945229740543,
      0.7648273997492917,
      0.7519479921048685,
      0.7393015550944846,
      0.7268828072078102,
      0.7146866317429865,
      0.7027080704352978,
      0.6909423177622674,
      0.6793847149300892,
      0.6680307437597313,
      0.6568760213995152,
      0.6459162945997399,
      0.6351474347234591,
      0.6245654327793277,
      0.6141663769279144,
      0.6039464075351301,
      0.5939017872146043,
      0.5840289051432478,
      0.5743242645515142,
      0.5647844729716277,
      0.555406235209744,
      0.546186347584596,
      0.5371216931492958,
      0.5282092378674277,
      0.5194460272067032,
      0.5108291820518212,
      0.5023559850522363,
      0.4940244763843169,
      0.4858328717304552,
      0.47777909271102503,
      0.46986089751971877,
      0.46207596189763783,
      0.45442193016121574,
      0.4468964467524363,
      0.43949717591645204,
      0.4322218136614927,
      0.4250680946556529,
      0.41803379618704517,
      0.4111167399301947,
      0.4043148367076831,
      0.3976263034712658,
      0.3910494173808499,
      0.38458236749326963,
      0.3782233028580403,
      0.37197036201603006,
      0.3658216912543086,
      0.3597754560682674,
      0.3538298479427857,
      0.3479830878603583,
      0.3422335199396281,
      0.33657960215774785,
      0.33101976683251483,
      0.3255524312076114,
      0.3201760148536924,
      0.31488895028636643,
      0.3096896894685084,
      0.3045767132710526,
      0.29954855680315606,
      0.2946037816505116,
      0.28974096243420516,
      0.28495869212806707,
      0.28025558485171637,
      0.27563012011985133,
      0.2710806849266761,
      0.2666057873493738,
      0.26220403342767656,
      0.2578741002908775,
      0.2536147187399484,
      0.24942466204351735,
      0.24530273828865437,
      0.24124787229550337,
      0.2372593791209018,
      0.23333656095729063,
      0.22947857520012027,
      0.22568449349505673,
      0.2219533394020517,
      0.218284112411576,
      0.2146758029848784,
      0.21112740269691507,
      0.20763791024768793,
      0.20420633527440749,
      0.20083170084595464,
      0.1975130190169242,
      0.19424922874290038,
      0.19103930511512054,
      0.187882277232035,
      0.18477721469529065,
      0.18172321863504182,
      0.1787194155530576,
      0.1757649535793397,
      0.17285899990839682,
      0.17000073910063138,
      0.16718937176075405,
      0.16442411349315228,
      0.16170419437358802,
      0.15902885821047696,
      0.15639736230657392,
      0.15380897728183776,
      0.15126298633461338,
      0.14875868517239957,
      0.14629538181861756,
      0.14387239614141212,
      0.14148905984253346,
      0.13914471602138306,
      0.13683871904575393,
      0.13457043437225738,
      0.13233923835541675,
      0.13014451805696298,
      0.12798567083929377,
      0.12586210440343784,
      0.12377323651548779,
      0.12171849481440171,
      0.11969731661924643,
      0.1177090696141726,
      0.11575308387940701,
      0.11382874529772136,
      0.11193548104744032,
      0.11007274822435073,
      0.10824002630795743,
      0.10643681222157797,
      0.10466261696254502,
      0.10291696325522108,
      0.10119938432689005,
      0.09950942259861374,
      0.09784662914613051,
      0.09621056317117706,
      0.0946007916661036,
      0.09301688891454545,
      0.09145843651314237,
      0.08992502285884345,
      0.08841624334672127,
      0.08693169999721294,
      0.08547100156155951,
      0.08403376299516593,
      0.08261960564669857,
      0.08122815718910736,
      0.07985905138919029,
      0.07851192786657542,
      0.07718643225540267,
      0.07588221586253688,
      0.0745989356707571,
      0.07333625437804019,
      0.07209384005335838,
      0.07087136621611671,
      0.06966851183038314,
      0.06848496099429653,
      0.0673204028551213,
      0.06617453161885051,
      0.06504704661339292,
      0.06393765194441313,
      0.06284605660139929,
      0.06177197416790391,
      0.06071512286713903,
      0.05967522558001847,
      0.05865200973426309,
      0.057645207121349164,
      0.056654553806019824,
      0.05567979022970223,
      0.05472066096464937,
      0.05377691465217725,
      0.052848303993988405,
      0.051934585835322254,
      0.05103552093934449,
      0.05015087386814923,
      0.04928041303433251,
      0.048423910537845116,
      0.04758114222030428,
      0.046751887447458965,
      0.04593592924509821,
      0.0451330540990351,
      0.04434305193365295,
      0.043565715985708735,
      0.04280084307272276,
      0.042048232936272925,
      0.04130768870683608,
      0.04057901671027546,
      0.03986202643609933,
      0.03915653043193465,
      0.038462344273254186,
      0.03777928634433897,
      0.03710717815177609,
      0.036445844010310806,
      0.03579511100701307,
      0.03515480894388984,
      0.034524770501361046,
      0.033904831062384504,
      0.033294828661974925,
      0.032694603793923124,
      0.03210399968522003,
      0.03152286191284018,
      0.030951038666210087,
      0.030388380567480708,
      0.029834740679737428,
      0.029289974320800306,
      0.028753939204205953,
      0.028226495283896934,
      0.02770750483644539,
      0.027196832278999817,
      0.02669434410978115,
      0.026199909212994085,
      0.025713398498813437,
      0.02523468486910039,
      0.02476364326095245,
      0.024300150691837562,
      0.02384408605167132,
      0.02339533027156703,
      0.022953766124915,
      0.0225192783028265,
      0.02209175342079865,
      0.021671079861156243,
      0.02125714778749964,
      0.020849849140926493,
      0.020449077547719515,
      0.020054728405190365,
      0.01966669877725256,
      0.019284887315750555,
      0.018909194372352795,
      0.018539521836954422,
      0.01817577325605366,
      0.017817853664710726,
      0.01746566957056095,
      0.017119129147309883,
      0.0167781419383555,
      0.016442618858640984,
      0.01611247232255502,
      0.01578761615501904,
      0.015467965539812193,
      0.01515343704350796,
      0.014843948663562472,
      0.014539419557894012,
      0.014239770243024868,
      0.013944922498768426,
      0.013654799417523034,
      0.013369325262152912,
      0.01308842556304396,
      0.0128120270488261,
      0.012540057492554428,
      0.01227244593735632,
      0.012009122577129041,
      0.01175001867368319,
      0.011495066567088442,
      0.011244199600728028,
      0.010997352451858075,
      0.010754460703374184,
      0.01051546095382233,
      0.010280290816595287,
      0.01004888892333569,
      0.00982119487415799,
      0.0095971492613993,
      0.009376693671872952,
      0.009159770578474708,
      0.008946323337252851,
      0.00873629621947919,
      0.00852963449858004,
      0.008326284215908947,
      0.008126192261969967,
      0.007929306428671507,
      0.0077355754524781285,
      0.007544948698893479,
      0.00735737633911608,
      0.0071728095423706836,
      0.006991200214337095,
      0.006812500859312089,
      0.00663666473727258,
      0.006463646036864308,
      0.006293399657104157,
      0.0061258811768539175,
      0.0059610468906872655,
      0.005798853757802387,
      0.005639259462316231,
      0.005482222380541023,
      0.005327701545039585,
      0.0051756566429890394,
      0.00502604796579145,
      0.004878836456935119,
      0.0047339836794869404,
      0.0045914519451580186,
      0.004451203988228272,
      0.0043132031947228505,
      0.004177413617579379,
      0.004043799778169654,
      0.003912326851756353,
      0.003782960537003647,
      0.0036556671503103653,
      0.0035304134554171407,
      0.003407166647493516,
      0.0032858947142411694,
      0.0031665659665512775,
      0.003049149181473824,
      0.0029336136957762954,
      0.002819929419306838,
      0.0027080667611782154,
      0.0025979965201070837,
      0.002489689833375324,
      0.0023831185280702803,
      0.0022782549084301045,
      0.0021750715709007457,
      0.002073541551068851,
      0.0019736383575793778,
      0.0018753359191746096,
      0.001778608565137492,
      0.0016834310577615557,
      0.0015897786144638327,
      0.0014976267722139182,
      0.0014069514314336933,
      0.0013177289458717874,
      0.0012299360297032662,
      0.0011435498189291274,
      0.0010585477878869748,
      0.0009749077689105075,
      0.0008926079035950654,
      0.0008116267731358158,
      0.0007319431997862644,
      0.0006535364246929485,
      0.0005763859179168868,
      0.000500471609897934,
      0.0004257737487777704,
      0.000352272670195432,
      0.00027994926737791943,
      0.00020878471879811234,
      0.00013876045233984227,
      6.985815525020499e-05,
      2.0597848934779996e-06,
      -6.465227321116682e-05,
      -0.00013029533790253134,
      -0.00019488663417980228,
      -0.0002584430108219511,
      -0.000320981076592337,
      -0.00038251699184564707,
      -0.00044306687560210763,
      -0.0005026465632620298,
      -0.0005612715609552702,
      -0.0006189572332906579,
      -0.000675718641347935,
      -0.000731570480691945,
      -0.0007865274382197252,
      -0.000840603798121765,
      -0.0008938137206271131,
      -0.0009461709986058336,
      -0.0009976892516029346,
      -0.001048382011137816,
      -0.0010982625066532322,
      -0.0011473438957112444,
      -0.001195638895620179,
      -0.001243160049719593,
      -0.0012899197195103639,
      -0.001335930196607731,
      -0.0013812035347088992,
      -0.001425751425216941,
      -0.0014695854722185705,
      -0.0015127171425226215,
      -0.0015551577407699672,
      -0.0015969182821275025,
      -0.0016380097261880192,
      -0.0016784427529091298,
      -0.001718227868198937,
      -0.001757375591574102,
      -0.0017958960263259778,
      -0.00183379925589573,
      -0.0018710952178683106,
      -0.0019077936092644413,
      -0.0019439039820828062,
      -0.0019794357361960866,
      -0.002014398207138012,
      -0.002048800429101634,
      -0.0020826514442726456,
      -0.00211596007076966,
      -0.0021487350011026377,
      -0.0021809847535628666,
      -0.002212717762924027,
      -0.0022439423371221176,
      -0.0022746666328480564,
      -0.002304898617379447,
      -0.0023346462398266517,
      -0.00236391714442334
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334749444913529,
      10.093610108874762,
      9.846183589640503,
      9.595283005504514,
      9.343380127820053,
      9.092609898549352,
      8.84474602989523,
      8.601194759300407,
      8.362997538311333,
      8.130842811341813,
      7.90510041216918,
      7.685867208782865,
      7.473018543297611,
      7.266261094949416,
      7.065183575974882,
      6.869302915190102,
      6.678104841198263,
      6.491076199171284,
      6.307731162933125,
      6.127630542887567,
      5.950392232144181,
      5.775690111382264,
      5.603263829048892,
      5.432938164718948,
      5.264618503046426,
      5.098278211011476,
      4.933962509022253,
      4.7718002482382,
      4.612023609525191,
      4.454938504639931,
      4.300879186600804,
      4.150206212660427,
      4.003303429447168,
      3.8605606081782993,
      3.7223482426521683,
      3.589003104590919,
      3.4608183455947126,
      3.3380363247009126,
      3.2208439418820007,
      3.1093704532910627,
      3.003676734527535,
      2.9037512008420157,
      2.809507431107544,
      2.7207754198856975,
      2.6373274695742652,
      2.5589169520536434,
      2.4852902219906,
      2.41618568032494,
      2.3513344313246285,
      2.29045460515598,
      2.233233917901515,
      2.179293517625353,
      2.1282814405728505,
      2.0798620733158604,
      2.0337188700463713,
      1.98957000938323,
      1.9471893749329803,
      1.9063885226334432,
      1.867013762645384,
      1.8289424320458254,
      1.792068525188639,
      1.7562979152389613,
      1.7215533934557907,
      1.6877712366476112,
      1.654897539741313,
      1.6228856613159093,
      1.5916944390934398,
      1.5612869366631679,
      1.5316295554641934,
      1.5026914008823236,
      1.4744443545937256,
      1.446863831588856,
      1.4199270535660473,
      1.3936124968262875,
      1.3679018063839796,
      1.342776915356987,
      1.3182197407747485,
      1.294212474877535,
      1.270737758519043,
      1.2477787802489406,
      1.225319328328319,
      1.2033438106094756,
      1.1818372568826667,
      1.160785308397083,
      1.1401744515103942,
      1.1199927565023746,
      1.100228863558126,
      1.080872005828189,
      1.061911512812157,
      1.0433367633919193,
      1.0251373144182472,
      1.0073029769044712,
      0.9898238586544945,
      0.9726903863520452,
      0.955893313484253,
      0.9394237189641266,
      0.9232730019478215,
      0.9074328719113042,
      0.8918953388305199,
      0.8766530222166232,
      0.8616990818989216,
      0.8470267505967504,
      0.8326293611408835,
      0.8185003891217671,
      0.8046334770098983,
      0.7910224462034292,
      0.7776613019766772,
      0.764544233151735,
      0.751665609644888,
      0.7390199781512007,
      0.7266020558391868,
      0.7144067249940018,
      0.7024290269134517,
      0.6906641555658487,
      0.6791074515654276,
      0.6677543962763993,
      0.6566006063367604,
      0.6456418282285219,
      0.6348739329980909,
      0.6242929112806854,
      0.6138948498044752,
      0.6036758888236099,
      0.593632290904579,
      0.583760445031887,
      0.574056854140178,
      0.564518125660019,
      0.5551409642030024,
      0.5459221659196718,
      0.5368586135366238,
      0.5279472726524654,
      0.5191851879419529,
      0.5105694801801638,
      0.5020974753840909,
      0.4937672717423612,
      0.48557704479638814,
      0.4775246909076456,
      0.46960795198976385,
      0.46182449326691183,
      0.45417195204754995,
      0.44664796858426353,
      0.43925020425589645,
      0.43197635315640476,
      0.4248241486238464,
      0.41779136675865564,
      0.41087582856285354,
      0.40407545685038265,
      0.3973884849893893,
      0.39081317817271877,
      0.38434771812084295,
      0.37799024910787643,
      0.37173890652382735,
      0.36559183460539835,
      0.3595471974036791,
      0.353603185276865,
      0.34775801868341477,
      0.34201005138144536,
      0.3363577411845634,
      0.33079951590149176,
      0.3253337899298351,
      0.31995898103253106,
      0.314673520616145,
      0.309475859920907,
      0.30436448013726347,
      0.29933791726579473,
      0.2943947316065166,
      0.2895334970090978,
      0.28475280568796885,
      0.2800512713416346,
      0.2754273776471613,
      0.2708795115158245,
      0.26640617946960465,
      0.26200598638171785,
      0.2576776087123851,
      0.2534197767428134,
      0.24923126322772424,
      0.24511087598434567,
      0.24105753799873678,
      0.2370705616948209,
      0.23314925049306642,
      0.22929276263077394,
      0.22550017014795495,
      0.22177049676815022,
      0.21810274192664583,
      0.2144958962670682,
      0.2109489513516688,
      0.207460905874706,
      0.20403076943539822,
      0.20065756499343548,
      0.19734030172478642,
      0.19407791638355695,
      0.19086938596395345,
      0.18771374074299807,
      0.18461005099660413,
      0.18155741816698728,
      0.1785549691128791,
      0.1756018521890875,
      0.17269723479063087,
      0.16984030151452667,
      0.16703025280567416,
      0.16426630422283772,
      0.16154768587126317,
      0.158873641644467,
      0.15624342892834328,
      0.15365631812492728,
      0.15111159247201453,
      0.1486085476045805,
      0.14614649144976766,
      0.1437247439840137,
      0.14134263677640943,
      0.13899951292097862,
      0.13669472691948692,
      0.1344276442478147,
      0.13219764117724314,
      0.13000410458941078,
      0.12784643195055584,
      0.12572403094238255,
      0.12363631939786018,
      0.12158272489288445,
      0.11956268482646858,
      0.11757564600343157,
      0.11562098272834392,
      0.1136980364065086,
      0.1118062048453591,
      0.10994492607758306,
      0.1081136670192518,
      0.10631191647138069,
      0.10453918005158193,
      0.10279497707586115,
      0.10107883855109187,
      0.09939030545654849,
      0.0977289280972934,
      0.09609426508854968,
      0.09448588293543367,
      0.09290335591317854,
      0.091346265407939,
      0.08981419985481068,
      0.08830675472564296,
      0.08682353223919961,
      0.08536414106634153,
      0.08392819630253136,
      0.08251531931983347,
      0.08112513792092399,
      0.07975728584139875,
      0.0784114029192928,
      0.07708713484369344,
      0.07578413306131561,
      0.07450205475456427,
      0.07324056256970946,
      0.07199932474987518,
      0.07077801490941923,
      0.06957631208558723,
      0.06839390040935098,
      0.06723046924609133,
      0.06608571297690224,
      0.06495933092598324,
      0.06385102735640957,
      0.06276051127778176,
      0.061687496395242326,
      0.06063170104389975,
      0.059592848223304115,
      0.05857066542973032,
      0.05756488454957037,
      0.056575241778671286,
      0.05560147761505408,
      0.05464333664496102,
      0.053700567795866634,
      0.052772923826473105,
      0.05186016169014876,
      0.050962042216892246,
      0.050078330096886794,
      0.04920879368720381,
      0.048353205262209056,
      0.04751134066461113,
      0.04668297944060257,
      0.04586790477315021,
      0.045065903190168906,
      0.044276764753286284,
      0.04350028285891168,
      0.04273625417003248,
      0.04198447858880743,
      0.041244759416514884,
      0.040516903100360914,
      0.03980071926885736,
      0.039096020556978896,
      0.03840262247750003,
      0.037720343631227934,
      0.0370490056076689,
      0.036388432760337944,
      0.035738452167899226,
      0.03509889386302987,
      0.03446959055759214,
      0.033850377740833534,
      0.033241093425336266,
      0.03264157832928938,
      0.032051675731650055,
      0.03147123131822913,
      0.030900093412764677,
      0.030338112645043293,
      0.029785142118253814,
      0.02924103724844693,
      0.02870565586114045,
      0.02817885801098027,
      0.027660506013624745,
      0.02715046433365184,
      0.02664859956989799,
      0.02615478063999085,
      0.025668878496439333,
      0.025190766169174927,
      0.024720318726783364,
      0.02425741322663106,
      0.023801928634550763,
      0.023353745936332465,
      0.022912748085507736,
      0.022478819844214,
      0.022051847783588013,
      0.02163172038689508,
      0.021218327969034067,
      0.020811562488823772,
      0.020411317641108026,
      0.02001748887938395,
      0.01962997333072524,
      0.01924866971089354,
      0.018873478474590442,
      0.018504301654477355,
      0.018141042763626613,
      0.017783606856346536,
      0.017431900595203817,
      0.017085832082118228,
      0.01674531094393752,
      0.01641024822590383,
      0.016080556418512505,
      0.01575614937531384,
      0.015436942484154947,
      0.01512285224628065,
      0.01481379669972456,
      0.014509695161426524,
      0.014210468127453534,
      0.013916037482664043,
      0.01362632633432517,
      0.013341259073438524,
      0.013060761186047466,
      0.012784759393873149,
      0.012513181627540374,
      0.012245956947514295,
      0.011983015603187675,
      0.011724289038913507,
      0.011469709580802375,
      0.011219210781861822,
      0.010972727250407963,
      0.010730194590749429,
      0.010491549360501944,
      0.01025672931145368,
      0.010025673202661307,
      0.009798320681131272,
      0.009574612286593058,
      0.009354489625525063,
      0.009137895199073822,
      0.008924772444816152,
      0.00871506573738115,
      0.008508720316418292,
      0.00830568237091461,
      0.008105898776902497,
      0.007909317506341539,
      0.0077158871744897215,
      0.007525557194768035,
      0.007338277853764099,
      0.007154000313098247,
      0.006972676386254041,
      0.006794258839230154,
      0.006618701033180352,
      0.0064459571679702675,
      0.006275982127385158,
      0.006108731582411575,
      0.00594416182332654,
      0.005782229849039476,
      0.005622893357424936,
      0.005466110751032763,
      0.005311841024569424,
      0.005160044036717993,
      0.005010680110682915,
      0.004863710253864367,
      0.0047190961255928615,
      0.004576799848543885,
      0.004436784292696215,
      0.00429901301205221,
      0.004163450044570708,
      0.004030059923473495,
      0.0038988078689667564,
      0.003769659498998874,
      0.003642581069562912,
      0.0035175394250420273,
      0.0033945019443286776,
      0.0032734365207985707,
      0.003154311570017337,
      0.003037095982056915,
      0.002921759241389958,
      0.002808271211300018,
      0.0026966022827358744,
      0.002586723188033992,
      0.0024786052806692574,
      0.0023722203018120493,
      0.0022675404475510142,
      0.002164538450595592,
      0.0020631874349716717,
      0.001963460893402925,
      0.001865332710248353,
      0.001768777288142758,
      0.0016737695174446402,
      0.0015802846458083364,
      0.001488298174656132,
      0.0013977860366483068,
      0.001308724641039867,
      0.0012210907046854458,
      0.001134861357981145,
      0.0010500140867740764,
      0.0009665267967069843,
      0.0008843777009768699,
      0.0008035452857505885,
      0.0007240084673615264,
      0.0006457464841657273,
      0.0005687388466951144,
      0.0004929654801004358,
      0.00041840665154149173,
      0.0003450428991277341,
      0.0002728550062877098,
      0.00020182412373479956,
      0.00013193178430663261,
      6.315967791298409e-05,
      -4.510102237641336e-06,
      -7.109519996399757e-05,
      -0.00013661305920753696,
      -0.00020108081415587295,
      -0.0002645152038064946,
      -0.000326932828701374,
      -0.00038835006981618504,
      -0.00044878290451116063,
      -0.0005082470904879945,
      -0.0005667581955227559,
      -0.0006243314552725111,
      -0.0006809818264634821,
      -0.0007367243067889363,
      -0.0007915733572993011,
      -0.0008455431884615188,
      -0.0008986479748075792,
      -0.0009509015542313441,
      -0.001002317597248319,
      -0.0010529095712512255,
      -0.0011026906408770694,
      -0.001151673840357985,
      -0.0011998719532475633,
      -0.0012472975560362675,
      -0.001293963003956016,
      -0.0013398804603817428,
      -0.00138506200823138,
      -0.0014295194493480275,
      -0.0014732643061940367,
      -0.001516308070842525,
      -0.0015586619062860098,
      -0.001600336925903996,
      -0.001641343931652562,
      -0.0016816935837778901,
      -0.0017213964679507557,
      -0.001760463009724328,
      -0.0017989033691901883,
      -0.0018367276016273092,
      -0.0018739455569770614,
      -0.0019105669378138364,
      -0.0019466014199699686,
      -0.0019820583089093396,
      -0.0020169468624564022,
      -0.0020512762508606676,
      -0.002085055408386684,
      -0.002118293093708994,
      -0.002150998089847824,
      -0.002183178863127683,
      -0.0022148438510771347,
      -0.0022460013171944826,
      -0.0022766594281952352,
      -0.0023068261332460254,
      -0.0023365093160328736,
      -0.00236571670498738
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334745772811699,
      10.09359734468841,
      9.8461557059409,
      9.595235289318623,
      9.343309301624194,
      9.092513781083731,
      8.844623292802929,
      8.601044878632488,
      8.36282049304932,
      8.130638838881104,
      7.904869883493595,
      7.685610538134597,
      7.47273613337953,
      7.2659533076024605,
      7.0648507269781975,
      6.86894527424915,
      6.677722651065754,
      6.490669735651663,
      6.307300772222013,
      6.127176711420714,
      5.949915673804495,
      5.775191783126279,
      5.602744938011113,
      5.432400208580565,
      5.264063244931272,
      5.097707510080281,
      4.933378420234625,
      4.771205232751122,
      4.611420973479792,
      4.454331785825949,
      4.300271902831876,
      4.1496018822905585,
      4.002705667247863,
      3.859972918269497,
      3.72177386707876,
      3.58844497474939,
      3.460279037015749,
      3.337518025362385,
      3.22034843201264,
      3.108899100506048,
      3.0032303397295066,
      2.9033300230842,
      2.8091110805396764,
      2.720402934447679,
      2.6369773393733986,
      2.558587518594458,
      2.4849796665275106,
      2.415892094756092,
      2.351055935922436,
      2.2901892277193325,
      2.23297936790311,
      2.17904736210553,
      2.128041546529627,
      2.079626459426721,
      2.0334857210080783,
      1.9893379177341823,
      1.9469572986450114,
      1.9061556345526207,
      1.8667793766976686,
      1.8287060623471374,
      1.7918297444014237,
      1.7560564058444301,
      1.721308957570972,
      1.6875237600834039,
      1.6546469655758367,
      1.6226319719725417,
      1.5914376447715421,
      1.5610270663787538,
      1.5313666511196633,
      1.5024255122862429,
      1.4741755568471482,
      1.4465923592534788,
      1.4196532836260507,
      1.3933368982251693,
      1.367624713471278,
      1.3424985600934103,
      1.3179402884046858,
      1.2939320467835935,
      1.2704564471362425,
      1.2474966591907763,
      1.225036458639452,
      1.2030602455354886,
      1.1815530441407398,
      1.1605004914731754,
      1.139889081935956,
      1.1197068985675056,
      1.099942576806865,
      1.0805853508542658,
      1.0616245404150628,
      1.0430495183678197,
      1.0248498375029835,
      1.0070153057356652,
      0.989536029382305,
      0.9724024337629996,
      0.9556052713181186,
      0.939135620067155,
      0.9229848784149594,
      0.9071447557269282,
      0.8916072924060363,
      0.8763652214771379,
      0.8614116772782849,
      0.8467398463538385,
      0.8323430315323995,
      0.818214688798074,
      0.8043484479959023,
      0.790738122650352,
      0.777377712594258,
      0.7642614032599745,
      0.7513835622644911,
      0.7387387342382354,
      0.7263216352925148,
      0.714127146835429,
      0.7021503095569275,
      0.6903863168212315,
      0.6788305088088046,
      0.6674783664314852,
      0.6563255059480929,
      0.6453676736258868,
      0.634600740096159,
      0.6240206956736752,
      0.613623625783564,
      0.6034056702392981,
      0.5933630918159293,
      0.5834922797129037,
      0.5737897365457348,
      0.5642520693160341,
      0.5548759822399123,
      0.5456582710993929,
      0.5365958181433476,
      0.5276855888595056,
      0.5189246275864264,
      0.510310054683394,
      0.5018392395086061,
      0.49351033851635034,
      0.4853214867244259,
      0.4772705552088281,
      0.4693552696764612,
      0.46157328506037454,
      0.4539222319633671,
      0.4463997459632147,
      0.43900348549362156,
      0.4317311427054872,
      0.4245804496787052,
      0.4175491817789934,
      0.4106351591535354,
      0.4038363166551495,
      0.3971509037343906,
      0.3905771739950405,
      0.38411330148711625,
      0.377757425629417,
      0.3715076787837079,
      0.3653622031315839,
      0.35931916117277096,
      0.3533767424126648,
      0.34753316669070766,
      0.34178679724612676,
      0.33613609187514387,
      0.3305794741125706,
      0.3251153556564915,
      0.3197421521902946,
      0.3144582937146991,
      0.3092622305512756,
      0.30415244444511413,
      0.29912747233150205,
      0.294185873497027,
      0.2893262209232349,
      0.2845471062364263,
      0.2798471426694015,
      0.27522481771203156,
      0.2706785185809781,
      0.2662067499573228,
      0.2618081156440369,
      0.25748129118454577,
      0.25322500629565786,
      0.24903803341416378,
      0.24491918006701266,
      0.24086736705465875,
      0.23688190417100832,
      0.2329620961294076,
      0.22910710188154962,
      0.22531599405074354,
      0.22158779673703308,
      0.2179215095965721,
      0.21431612319814244,
      0.2107706291260085,
      0.20728402601440227,
      0.2038553233828109,
      0.20048354422989756,
      0.1971676936395788,
      0.19390670806505522,
      0.1906995660024565,
      0.1875452989023344,
      0.18444297760927095,
      0.18139170402696853,
      0.17839060519140934,
      0.17543882954096415,
      0.17253554449196828,
      0.169679934752661,
      0.1668712007587778,
      0.16410855812995467,
      0.16139123691073234,
      0.15871848093264526,
      0.15608954754943552,
      0.15350370710896738,
      0.15096024288666424,
      0.14845845062135896,
      0.14599763814274774,
      0.14357712533154365,
      0.14119624380170068,
      0.1388543365527083,
      0.13655075792792865,
      0.13428487350425536,
      0.1320560595952781,
      0.12986370318098145,
      0.12770720165251967,
      0.12558596268454753,
      0.12349940410048349,
      0.12144695347657473,
      0.11942804819007284,
      0.11744213515424681,
      0.11548867025948767,
      0.11356703647556161,
      0.1116765866109,
      0.10981672950202967,
      0.10798691318730852,
      0.1061866139675515,
      0.10441532940658224,
      0.10267257358492708,
      0.10095787407307324,
      0.09927076972256449,
      0.09761080940661898,
      0.09597755076338185,
      0.09437055989892816,
      0.09278941066771561,
      0.09123368437443365,
      0.08970296944401411,
      0.08819686125674403,
      0.08671496198843753,
      0.08525688031831584,
      0.08382223150010769,
      0.08241063707119864,
      0.08102172482922936,
      0.07965512859831632,
      0.07831048834774605,
      0.07698744977238511,
      0.0756856645172783,
      0.07440478973964565,
      0.07314448834933784,
      0.07190442872224391,
      0.07068428460593154,
      0.06948373505092519,
      0.06830246425309117,
      0.06714016166898248,
      0.0659965217594822,
      0.06487124404762362,
      0.06376403287661694,
      0.06267459733217189,
      0.061602651303100275,
      0.060547913231998415,
      0.05951010615326008,
      0.05848895763022292,
      0.05748419961392662,
      0.05649556847090962,
      0.05552280471538938,
      0.054565653193219474,
      0.05362386286500305,
      0.05269718664931472,
      0.05178538139199478,
      0.05088820811430219,
      0.05000543165324214,
      0.049136820497827895,
      0.04828214704602759,
      0.047441187256236604,
      0.0466137206971103,
      0.04579953056679743,
      0.04499840355712276,
      0.04421012970853739,
      0.04343450256144427,
      0.04267131900873386,
      0.04192037905933679,
      0.04118148599554517,
      0.04045444631053625,
      0.03973906968337816,
      0.03903516880119766,
      0.03834255933244107,
      0.037661060004292,
      0.036990492404902695,
      0.03633068104846695,
      0.03568145327313248,
      0.03504263915928814,
      0.034414071445730034,
      0.03379558564692817,
      0.033187019939145024,
      0.03258821517774163,
      0.03199901456227694,
      0.03141926395941014,
      0.030848811657198497,
      0.030287508548739742,
      0.029735207753022096,
      0.029191764747490453,
      0.028657037407487474,
      0.028130885845149178,
      0.02761317241599146,
      0.027103761772470238,
      0.026602520716547236,
      0.026109318098383755,
      0.025624024958904423,
      0.025146514406867278,
      0.024676661548729453,
      0.02421434344529428,
      0.023759439304788747,
      0.023311830194862455,
      0.02287139899678553,
      0.022438030634069676,
      0.022011611755546258,
      0.02159203087687805,
      0.02117917836391261,
      0.020772946314917145,
      0.02037322850723564,
      0.01997992026714772,
      0.019592918874484142,
      0.01921212317284399,
      0.018837433586720274,
      0.018468752189464754,
      0.01810598261218045,
      0.01774903010519397,
      0.017397801440174634,
      0.017052204741895866,
      0.016712149713679875,
      0.016377547404029975,
      0.01604831037359658,
      0.01572435249845527,
      0.015405589173271941,
      0.015091937189541542,
      0.014783314479412698,
      0.014479640442717635,
      0.014180835681990231,
      0.013886822085369259,
      0.01359752271751176,
      0.013312861982406592,
      0.013032765606804131,
      0.01275716043131018,
      0.012485974511967918,
      0.012219136736056348,
      0.011956577465551928,
      0.01169822809878674,
      0.011444021087384175,
      0.011193890014871376,
      0.010947769597064536,
      0.01070559559764658,
      0.01046730464611775,
      0.0102328344600393,
      0.010002123753226552,
      0.009775112224286954,
      0.009551740530122158,
      0.009331950371149703,
      0.009115684287811496,
      0.008902885829743823,
      0.008693499384998261,
      0.00848747009551062,
      0.008284744214397701,
      0.008085268888493733,
      0.007888991944898853,
      0.007695862016684822,
      0.007505828697887145,
      0.007318842281796777,
      0.007134853877786079,
      0.006953815492928519,
      0.006775679843632618,
      0.006600400367196729,
      0.00642793128098557,
      0.006258227504310278,
      0.006091244723431762,
      0.005926939293741429,
      0.005765268246835512,
      0.005606189325740687,
      0.005449660984358523,
      0.005295642395028437,
      0.005144093263602099,
      0.0049949739894510166,
      0.004848245567113384,
      0.004703869726005583,
      0.004561808760862712,
      0.004422025568427193,
      0.0042844835272595125,
      0.004149146799225731,
      0.004015980106000394,
      0.003884948520820263,
      0.003756017846432582,
      0.003629154328379277,
      0.0035043248977988466,
      0.003381496914208585,
      0.0032606382856887463,
      0.0031417173873500375,
      0.0030247031597191434,
      0.00290956508864983,
      0.002796273130201262,
      0.0026847976244041005,
      0.002575109414133216,
      0.002467179927983154,
      0.0023609808961472197,
      0.0022564846214407235,
      0.0021536637684027044,
      0.0020524914599100792,
      0.001952941215895665,
      0.0018549871612936963,
      0.0017586035808023301,
      0.0016637653206273185,
      0.0015704476578286292,
      0.0014786262413898972,
      0.0013882771304078864,
      0.0012993766743632622,
      0.0012119015477262437,
      0.0011258289700791894,
      0.001041136419338382,
      0.000957801772384382,
      0.0008758031738256029,
      0.0007951193189507143,
      0.0007157291984331747,
      0.0006376120350131762,
      0.0005607473735677953,
      0.00048511509612031455,
      0.00041069546397843346,
      0.00033746900191407075,
      0.0002654165426786125,
      0.00019451924060487883,
      0.00012475870139474755,
      5.611668719218657e-05,
      -1.1424789698332501e-05,
      -7.788328289003681e-05,
      -0.00014327620994273747,
      -0.000207620666151113,
      -0.00027093351083972274,
      -0.0003332312617722336,
      -0.00039453021086887475,
      -0.00045484628462866196,
      -0.00051419529752105,
      -0.0005725927278365492,
      -0.000630053822927007,
      -0.0006865936207814598,
      -0.0007422269202358825,
      -0.0007969681608852368,
      -0.0008508317150834857,
      -0.000903831702674017,
      -0.0009559820146747144,
      -0.001007296145069883,
      -0.0010577874283276142,
      -0.0011074691617625448,
      -0.0011563543140177951,
      -0.0012044556781410788,
      -0.0012517858324065491,
      -0.0012983571835237658,
      -0.0013441818625646266,
      -0.0013892718235459355,
      -0.0014336389030908886,
      -0.0014772947079643392,
      -0.0015202505648306385,
      -0.0015625176988671766,
      -0.0016041071057345039,
      -0.001645029671098146,
      -0.0016852960862098931,
      -0.0017249168199068613,
      -0.001763902274199813,
      -0.0018022626787576324,
      -0.0018400080229788794,
      -0.0018771481971198408,
      -0.001913692871834074,
      -0.0019496516190528309,
      -0.0019850338667978815,
      -0.002019848738811751,
      -0.002054105389717465,
      -0.0020878128243252973,
      -0.002120979907772824,
      -0.0021536151840136396,
      -0.002185727163765926,
      -0.0022173243070111675,
      -0.0022484148081429478,
      -0.002279006799902032,
      -0.0023091083599829595,
      -0.0023387273134519724,
      -0.002367871352801146
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334742098879143,
      10.093584579081282,
      9.846127815541115,
      9.595187556221914,
      9.343238442998475,
      9.092417613120105,
      8.844500484482179,
      8.60089490444963,
      8.362643332140783,
      8.13043472712491,
      7.904639189928868,
      7.685353677384379,
      7.4724535088582495,
      7.265645281818645,
      7.06451761539227,
      6.8685873479731985,
      6.677340152434362,
      6.490262938219259,
      6.306870022604694,
      6.126722496770252,
      5.949438711687501,
      5.774693032505059,
      5.602225605407708,
      5.431861794406947,
      5.263507514120053,
      5.0971363234807265,
      4.932793833479079,
      4.770609708484215,
      4.610817819720378,
      4.453724545848363,
      4.299664097584107,
      4.148997033284471,
      4.002107393276663,
      3.8593847258205556,
      3.7211990004668274,
      3.587886365960114,
      3.4597392620714467,
      3.3369992713860426,
      3.2198524793568004,
      3.1084273159493034,
      3.002783522990536,
      2.9029084312910145,
      2.808714323018952,
      2.7200300483120268,
      2.6366268133993134,
      2.5582576940393245,
      2.484668723632895,
      2.4155981239273157,
      2.3507770579051264,
      2.289923469334882,
      2.2327244379515703,
      2.178800826931686,
      2.1278012594272524,
      2.0793904434410146,
      2.0332521654564952,
      1.9891054185751451,
      1.946724817179908,
      1.905922347396533,
      1.8665445990572986,
      1.8284693095469102,
      1.7915905901142057,
      1.755814532756139,
      1.7210641681925751,
      1.6872759397950288,
      1.6543960572213807,
      1.6223779586025424,
      1.5911805366024503,
      1.5607668919389526,
      1.5311034514753918,
      1.502159336929347,
      1.4739064811353715,
      1.446320617767929,
      1.419379253797818,
      1.3930610497235782,
      1.3673473801285034,
      1.3422199743511323,
      1.3176606156677142,
      1.2936514083282626,
      1.2701749350276723,
      1.2472143466145824,
      1.2247534066139225,
      1.2027765066665264,
      1.1812686653006623,
      1.1602155160653498,
      1.1396035617658984,
      1.1194208976424223,
      1.099656154239137,
      1.0802985666071627,
      1.0613374455789435,
      1.0427621575279276,
      1.024562251191729,
      1.006727532210033,
      0.9892481044047182,
      0.9721143920491029,
      0.9553171461925862,
      0.9388474445327798,
      0.9226966846347254,
      0.9068565755130974,
      0.8913192254481094,
      0.8760774593720017,
      0.861124350263857,
      0.8464530454657654,
      0.8320568223041005,
      0.8179291206693299,
      0.8040635597547994,
      0.7904539461599286,
      0.7770942750151356,
      0.7639787286400521,
      0.7511016726772587,
      0.7384576502181373,
      0.7260413764593894,
      0.7138477321246843,
      0.7018717570052092,
      0.6901086443064337,
      0.6785537336606231,
      0.6672025057695232,
      0.6560505766531904,
      0.6450936919207124,
      0.6343277219802461,
      0.6237486568150334,
      0.6133525806631165,
      0.6031356327337459,
      0.5930940757710771,
      0.5832242988986935,
      0.5735228045266543,
      0.5639861994923522,
      0.5546111878054655,
      0.5453945649400967,
      0.5363332129329508,
      0.5274240965618666,
      0.5186642600439578,
      0.5100508234102674,
      0.5015811992440812,
      0.4932536020980776,
      0.4850661266296082,
      0.47701661868996625,
      0.46910278778979697,
      0.46132227804698206,
      0.4536727135709463,
      0.4461517256280001,
      0.43875696973966427,
      0.4314861360708357,
      0.4243369553244612,
      0.41730720180849873,
      0.4103946953054267,
      0.40359738245895926,
      0.3969135289865134,
      0.390341376476799,
      0.38387909169603457,
      0.37752480921275666,
      0.3712766582639217,
      0.3651327789549901,
      0.3590913324932864,
      0.35315050740899073,
      0.347308524466183,
      0.34156375564614083,
      0.3359146567823605,
      0.33035964750186425,
      0.32489713682257204,
      0.319525538849142,
      0.314243282395893,
      0.30904881702203724,
      0.3039406249549449,
      0.2989172440307742,
      0.293977232196447,
      0.28911916154360273,
      0.28434162323966555,
      0.2796432301043101,
      0.27502247361977405,
      0.27047774102943517,
      0.26600753547991296,
      0.261610459361118,
      0.2572851876180134,
      0.25303044946671815,
      0.24884501710344012,
      0.24472769761367139,
      0.2406774092962527,
      0.23669345870512384,
      0.2327751522894469,
      0.22892165002924728,
      0.22513202519009032,
      0.22140530215490578,
      0.217740480668275,
      0.21413655149770505,
      0.2105925061413619,
      0.20710734333220393,
      0.2036800725924568,
      0.20030971678833728,
      0.19699527689291876,
      0.19373568903933605,
      0.19052993342257726,
      0.18737704236783848,
      0.18427608744698945,
      0.1812261709547504,
      0.17822642010971904,
      0.1752759835914821,
      0.17237402895130505,
      0.169519740798515,
      0.1667123196549443,
      0.1639509810673028,
      0.16123495494303813,
      0.15856348529283593,
      0.15593582942495865,
      0.1533512576778219,
      0.15080905314880513,
      0.14830851163006462,
      0.14584894094917905,
      0.14342966087172354,
      0.14105000302433587,
      0.13870931050191238,
      0.13640693766059442,
      0.1341422499500112,
      0.13191462370820475,
      0.129723445899835,
      0.12756811393732037,
      0.1254480354507494,
      0.12336262819113596,
      0.12131131979933474,
      0.11929354763752857,
      0.11730875860679674,
      0.1153564088930656,
      0.11343596366638183,
      0.11154681654833597,
      0.10968833138262889,
      0.10785992702392622,
      0.10606106080585125,
      0.10429121787410153,
      0.10254990417824993,
      0.1008366420776772,
      0.09915096699262003,
      0.09749242550143959,
      0.0958605740625544,
      0.09425497788523797,
      0.09267521018122876,
      0.09112085191476356,
      0.08959149139479326,
      0.08808672389321741,
      0.0866061515607384,
      0.08514938324263706,
      0.08371603422599778,
      0.08230572608564367,
      0.08091808678474267,
      0.0795527502125169,
      0.07820935633171879,
      0.07688755096890161,
      0.07558698581032022,
      0.07430731828846779,
      0.07304821133342639,
      0.07180933335070007,
      0.07059035817431114,
      0.0693909649950752,
      0.06821083827357792,
      0.06704966752874861,
      0.06590714725357366,
      0.06478297698234033,
      0.06367686120783059,
      0.06258850911001693,
      0.06151763468386415,
      0.06046395646473849,
      0.05942719767194402,
      0.05840708592685101,
      0.05740335328361596,
      0.05641573624465932,
      0.055443975394819676,
      0.05448781562348971,
      0.053547005974817805,
      0.05262129951969245,
      0.05171045337662818,
      0.05081422856324092,
      0.049932389865652974,
      0.04906470599887651,
      0.0482109493651528,
      0.04737089599816186,
      0.046544325718247535,
      0.04573102173866897,
      0.04493077084182759,
      0.04414336323773806,
      0.04336859240407608,
      0.04260625534253717,
      0.04185615227615114,
      0.04111808658441316,
      0.04039186490668771,
      0.039677296962191966,
      0.038974195479945364,
      0.03828237627759627,
      0.037601658148307966,
      0.036931862736520917,
      0.03627281472404196,
      0.03562434134049532,
      0.03498627280930332,
      0.03435844207331156,
      0.03374068471581738,
      0.03313283901877814,
      0.032534745834032694,
      0.031946248445553965,
      0.03136719289296317,
      0.030797427560777118,
      0.030236803235261386,
      0.02968517313868096,
      0.029142392909051566,
      0.028608320525836995,
      0.02808281613042834,
      0.02756574222351276,
      0.027056963515663036,
      0.026556346849972032,
      0.026063761209207635,
      0.025579077629774686,
      0.025102169314174493,
      0.024632911503917387,
      0.024171181455843824,
      0.023716858368933877,
      0.023269823274054538,
      0.022829959306329348,
      0.02239715131752933,
      0.021971286125337136,
      0.021552252286109214,
      0.021139940167728754,
      0.020734241793563906,
      0.020335051138802525,
      0.019942263873893386,
      0.01955577718499769,
      0.019175489924728787,
      0.018801302775751524,
      0.01843311777251992,
      0.018070838585410635,
      0.017714370429508783,
      0.01736362005574934,
      0.017018495741768787,
      0.01667890732054643,
      0.016344765985866812,
      0.016015984262313675,
      0.015692476152336262,
      0.015374157123527668,
      0.015060943834260373,
      0.014752754488019998,
      0.014449508372295607,
      0.0141511262485501,
      0.013857530060589677,
      0.013568643010037906,
      0.01328438954775958,
      0.013004695363961954,
      0.012729487325704367,
      0.012458693514684052,
      0.012192242995734261,
      0.011930066200483229,
      0.011672094686108865,
      0.01141826082883057,
      0.011168498252009183,
      0.010922741586249576,
      0.010680926675173275,
      0.010442990291846579,
      0.01020887012703403,
      0.009978505072617772,
      0.009751834899037904,
      0.009528800388058973,
      0.009309343075025128,
      0.009093405712924288,
      0.008880931754885055,
      0.00867186566056268,
      0.008466152754368239,
      0.008263739201761874,
      0.00806457214170978,
      0.00786859958071212,
      0.007675770214565021,
      0.007486033653008318,
      0.007299340177455639,
      0.00711564104215445,
      0.006934888263676693,
      0.0067570346045610075,
      0.006582033540537133,
      0.006409839205066793,
      0.006240406667356725,
      0.006073691666920708,
      0.005909650592647839,
      0.005748240515218854,
      0.005589419279418178,
      0.005433145357663883,
      0.005279377846010259,
      0.0051280765772550255,
      0.004979201912339393,
      0.004832714947329712,
      0.004688577545267265,
      0.004546751951104365,
      0.004407200986887184,
      0.004269888217676896,
      0.004134777789337657,
      0.004001834383251772,
      0.003871023217702553,
      0.0037423101084857924,
      0.0036156614746177466,
      0.0034910441238774526,
      0.003368425446912005,
      0.0032477734038347137,
      0.003129056455525098,
      0.003012243509941951,
      0.0028973040604090474,
      0.002784208034652331,
      0.002672925899399626,
      0.002563428601459805,
      0.002455687523780999,
      0.0023496744747990937,
      0.0022453617368029866,
      0.0021427219888404117,
      0.002041728485874326,
      0.0019423547056216682,
      0.0018445746833877944,
      0.0017483629227129556,
      0.001653694359116289,
      0.0015605442425129235,
      0.0014688880845679054,
      0.001378701976172196,
      0.0012899623151213157,
      0.0012026459110193097,
      0.0011167299258898922,
      0.0010321920071072338,
      0.0009490100153513659,
      0.0008671620838683591,
      0.0007866268251590039,
      0.0007073832853559959,
      0.0006294107219115312,
      0.00055268870034464,
      0.00047719711569136996,
      0.0004029162409083488,
      0.0003298266493513921,
      0.0002579093421435457,
      0.0001871454762295876,
      0.00011751658330215275,
      4.900450339940329e-05,
      -1.8408711805687327e-05,
      -8.474069754329283e-05,
      -0.00015000889628925807,
      -0.00021423033982674675,
      -0.000277421773532563,
      -0.0003395997155885363,
      -0.00040078039465858136,
      -0.0004609798072758828,
      -0.0005202137042685031,
      -0.0005784975826429544,
      -0.0006358466892516057,
      -0.000692275895993108,
      -0.0007477999873739491,
      -0.0008024335975471466,
      -0.0008561909944289688,
      -0.0009090861991786055,
      -0.0009611330348605336,
      -0.001012345091789965,
      -0.0010627357744312383,
      -0.001112318252249337,
      -0.0011611054987006415,
      -0.0012091102594764137,
      -0.0012563451406802856,
      -0.0013028224102786205,
      -0.0013485542054261918,
      -0.001393552535249532,
      -0.0014378291756148107,
      -0.001481395588076457,
      -0.0015242633146661713,
      -0.001566443520660015,
      -0.0016079472230633792,
      -0.0016487852127638905,
      -0.0016889681988284716,
      -0.001728506723358048,
      -0.00176741106274463,
      -0.001805691357305911,
      -0.0018433576891049824,
      -0.0018804200006019597,
      -0.0019168878603258589,
      -0.0019527709012704163,
      -0.001988078349485369,
      -0.002022819518714624,
      -0.0020570035285460394,
      -0.0020906393721600845,
      -0.0021237357608649104,
      -0.0021563013745090963,
      -0.002188344723855846,
      -0.0022198740821736647,
      -0.0022508976958305524,
      -0.0022814237212108166,
      -0.002311460174131646,
      -0.0023410148722273648,
      -0.0023700954974398094
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334738416810275,
      10.093571794372618,
      9.846099883846632,
      9.595139749122083,
      9.34316746974603,
      9.09232128264861,
      8.844377461768676,
      8.600744660149317,
      8.362465842525898,
      8.130230225277051,
      7.904408044069456,
      7.685096302365404,
      7.4721703071382946,
      7.265336615277423,
      7.064183799870475,
      6.868228653564118,
      6.676956821078112,
      6.489855245735578,
      6.306438318052623,
      6.126267269044201,
      5.948960677261646,
      5.774193151199116,
      5.601705089869528,
      5.431322148426787,
      5.262950501736507,
      5.096563804664311,
      4.93220786584216,
      4.770012758972685,
      4.610213202811446,
      4.453115808446603,
      4.299054766181931,
      4.148390635254503,
      4.001507552272888,
      3.858794954821128,
      3.720622550251916,
      3.587326174517671,
      3.4591979107321267,
      3.3364789519718347,
      3.219354974883873,
      3.1079539959804117,
      3.002335188960944,
      2.902485342095082,
      2.8083160892017416,
      2.719655707984396,
      2.6362748559969504,
      2.5579264609744996,
      2.4843563947174605,
      2.4153027895970323,
      2.3504968379008786,
      2.2896563898942515,
      2.232468206833988,
      2.1785530101826307,
      2.1275596785623545,
      2.079153130008584,
      2.0330173168838437,
      1.9888716379516633,
      1.946491069562285,
      1.9056878105686348,
      1.8663085901447147,
      1.8282313449984684,
      1.7913502444742853,
      1.7555714892100713,
      1.7208182286495326,
      1.6870269889590308,
      1.6541440376017704,
      1.6221228526553677,
      1.5909223539524708,
      1.5605056610424564,
      1.530839213141849,
      1.5018921405728278,
      1.473636401917036,
      1.4460478904185698,
      1.4191042554379445,
      1.3927842501238767,
      1.367069113031578,
      1.3419404708571092,
      1.3173800405259473,
      1.2933698821899966,
      1.269892550080614,
      1.2469311761059756,
      1.22446951065234,
      1.2024919371503138,
      1.1809834691092267,
      1.1599297367177595,
      1.1393172505327192,
      1.1191341180104493,
      1.0993689650213172,
      1.0800110273347743,
      1.061049606576817,
      1.0424740635051635,
      1.024273942832773,
      1.0064390466830353,
      0.9889594776872492,
      0.9718256585466374,
      0.9550283395669071,
      0.938558597247698,
      0.9224078286605638,
      0.9065677422064238,
      0.8910305443164626,
      0.8757891105708842,
      0.8608364568637631,
      0.8461656938570546,
      0.8317700750740575,
      0.8176430249365594,
      0.8037781527086016,
      0.7901692583258718,
      0.776810332730507,
      0.7636955553365203,
      0.7508192896877923,
      0.738176077847422,
      0.7257606341761442,
      0.7135678386392905,
      0.7015927306916108,
      0.6898305026466454,
      0.6782764938218205,
      0.6669261848141479,
      0.6557751910023142,
      0.6448192577737757,
      0.6340542549613872,
      0.6234761722202746,
      0.6130810924771153,
      0.6028651549748555,
      0.592824622480131,
      0.5829558839167546,
      0.5732554415955179,
      0.5637199021949572,
      0.5543459691172453,
      0.5451304374839969,
      0.5360701893025098,
      0.5271621890786733,
      0.518403480355338,
      0.5097911827907838,
      0.5013227852113443,
      0.4929965144157779,
      0.48481043007851066,
      0.4767623553428509,
      0.4688499852593091,
      0.461070954982448,
      0.45342288239701495,
      0.44590339482467173,
      0.43851014526340915,
      0.43124082210072057,
      0.42409315489538235,
      0.4170649171813375,
      0.41015392807497836,
      0.40335815367679134,
      0.3966758651071277,
      0.3901052935386944,
      0.383644599026807,
      0.37729191175650084,
      0.37104535802433103,
      0.36490307611876566,
      0.3588632259839291,
      0.35292399520299167,
      0.3470836093195499,
      0.3413404467460988,
      0.33569295824544787,
      0.3301395600849593,
      0.32467865915954275,
      0.3193086680022229,
      0.3140280144496031,
      0.3088351473779532,
      0.3037285497664241,
      0.29870676017552583,
      0.2937683353528532,
      0.2889118466530385,
      0.2841358847468945,
      0.27943906223205445,
      0.2748198743802081,
      0.27027670852611757,
      0.2658080659897435,
      0.26141254816798554,
      0.2570888290769596,
      0.25283563759766337,
      0.24865174538001156,
      0.24453595934671143,
      0.24048719524277473,
      0.2365047560241838,
      0.23258794993609633,
      0.22873593808391235,
      0.22494779443325014,
      0.2212225436810505,
      0.21755918592010234,
      0.21395671200723038,
      0.21041411353823392,
      0.20693038914690384,
      0.20350454835100518,
      0.20013561404236996,
      0.19682258287253418,
      0.19356439087603683,
      0.19036001972331268,
      0.18720850274658435,
      0.18410891222483755,
      0.1810603507596851,
      0.17806194607518966,
      0.1751128469071089,
      0.1722122207504379,
      0.16935925220340264,
      0.16655314192350754,
      0.16379310546596137,
      0.16107837278445633,
      0.15840818764881265,
      0.15578180744867529,
      0.15319850251840622,
      0.15065755592286095,
      0.14815826337329202,
      0.1456999327010703,
      0.14328188371495718,
      0.14090344800322158,
      0.13856396859751846,
      0.13626279982251854,
      0.13399930714023348,
      0.1317728668937298,
      0.12958286589866333,
      0.1274287016325175,
      0.1253097818900062,
      0.1232255242857316,
      0.12117535644850844,
      0.11915871580801506,
      0.11717504917050263,
      0.11522381274407811,
      0.11330447200942495,
      0.11141650144868263,
      0.10955930705797177,
      0.10773226331266014,
      0.10593479820304912,
      0.10416637771133576,
      0.10242649528185993,
      0.10071466503099563,
      0.09903041715765623,
      0.09737329491978285,
      0.09574285248420548,
      0.09413865361701046,
      0.09256027076377824,
      0.0910072842366249,
      0.089479282007527,
      0.0879758592931454,
      0.08649661806942364,
      0.08504116718900437,
      0.08360912196580196,
      0.08220010402439126,
      0.08081374132726395,
      0.07944966792558461,
      0.0781075239513776,
      0.0767869553479056,
      0.07548761375774352,
      0.07420915672397631,
      0.07295124728265798,
      0.07171355403650156,
      0.07049575091472811,
      0.06929751722562807,
      0.0681185374043192,
      0.06695850117043038,
      0.06581710318337944,
      0.06469404302767881,
      0.06358902531469886,
      0.06250175928442123,
      0.06143195911495486,
      0.06037934342261776,
      0.05934363542143439,
      0.05832456295329781,
      0.05732185819481284,
      0.056335257644547596,
      0.05536450203395195,
      0.05440933635917764,
      0.05346950975689613,
      0.052544775370494665,
      0.05163489042208944,
      0.050739615936814156,
      0.049858716943514465,
      0.04899196226666238,
      0.04813912437747219,
      0.04729997949110904,
      0.04647430742652935,
      0.045661891486552184,
      0.04486251857063137,
      0.04407597895739792,
      0.04330206630090169,
      0.04254057756936399,
      0.04179131318469123,
      0.04105407657024255,
      0.04032867456283639,
      0.03961491682619744,
      0.03891261625523172,
      0.038221588803618464,
      0.03754165322481813,
      0.036872631301376274,
      0.036214347703116836,
      0.03556663000061358,
      0.03492930841250604,
      0.03430221593848227,
      0.03368518822935735,
      0.033078063531025034,
      0.03248068286749013,
      0.03189288980190228,
      0.031314530309173465,
      0.030745452727942334,
      0.030185508084297822,
      0.02963454968785391,
      0.029092433258462773,
      0.028559016801190117,
      0.02803416067487594,
      0.027517727427905644,
      0.02700958173158009,
      0.02650959056969544,
      0.02601762291572885,
      0.025533549996389113,
      0.025057245010384952,
      0.024588583294102555,
      0.024127442113740617,
      0.02367370084021797,
      0.023227240578791702,
      0.022787944492554925,
      0.02235569758678675,
      0.02193038667884873,
      0.021511900349101484,
      0.021100129166484755,
      0.02069496529797268,
      0.020296302735327867,
      0.01990403705777066,
      0.019518065576636115,
      0.019138287359184544,
      0.01876460296053897,
      0.018396914561919345,
      0.01803512593725544,
      0.017679142419783783,
      0.017328870829990305,
      0.016984219492067697,
      0.016645098192790232,
      0.01631141813954245,
      0.01598309202585611,
      0.01566003396256338,
      0.015342159383042151,
      0.015029385112362272,
      0.014721629301899828,
      0.0144188113247936,
      0.014120852019730512,
      0.013827673469346647,
      0.013539199000314514,
      0.013255352882504953,
      0.012976060967193047,
      0.012701250243570583,
      0.012430848813209107,
      0.012164785868850723,
      0.011902991855642303,
      0.011645398249202781,
      0.011391937560370945,
      0.011142543509556915,
      0.010897150838035252,
      0.010655695412357063,
      0.010418113966219498,
      0.010184344304906636,
      0.009954325296553877,
      0.009727996791453695,
      0.009505299532044952,
      0.009286175378863174,
      0.009070566923149233,
      0.008858417624191161,
      0.008649672064600437,
      0.008444275720175901,
      0.008242174841290065,
      0.008043316528316927,
      0.007847648676744924,
      0.0076551201670445,
      0.007465680587624137,
      0.007279280444312645,
      0.007095870940602087,
      0.006915403976917955,
      0.006737832356368383,
      0.006563109726745988,
      0.006391190449362489,
      0.006222029413709549,
      0.0060555823756270515,
      0.0058918057836869035,
      0.005730656805327518,
      0.005572093286120466,
      0.0054160738578244,
      0.005262557578554145,
      0.005111504357873614,
      0.004962874569938967,
      0.004816629305286313,
      0.004672730294420524,
      0.004531139980254475,
      0.0043918213387883105,
      0.004254737912105946,
      0.004119853798589863,
      0.003987133804812716,
      0.003856543065544403,
      0.0037280474859380003,
      0.00360161348658248,
      0.0034772079926846237,
      0.0033547985015305207,
      0.003234353024627191,
      0.003115839987837352,
      0.0029992282918044322,
      0.0028844874569564707,
      0.0027715875039734518,
      0.0026604989186924085,
      0.0025511926127022716,
      0.0024436399427026963,
      0.0023378128079656136,
      0.0022336836099579338,
      0.0021312250040391952,
      0.0020304102566293856,
      0.0019312130064606057,
      0.0018336072885391194,
      0.0017375675720595197,
      0.0016430686156041871,
      0.0015500857688464707,
      0.0014585948119944995,
      0.0013685717528796844,
      0.0012799930189861543,
      0.0011928354027515682,
      0.001107076174464958,
      0.0010226927825974636,
      0.0009396631855406248,
      0.0008579656440484861,
      0.0007775788078028385,
      0.0006984816058796375,
      0.0006206533423074337,
      0.0005440737355564688,
      0.0004687228836287594,
      0.00039458095674161405,
      0.00032162856496471766,
      0.00024984667549743015,
      0.0001792164490185882,
      0.00010971932476333494,
      4.133713852386114e-05,
      -2.5947980677133346e-05,
      -9.21534896161656e-05,
      -0.00015729680486169722,
      -0.0002213949322627164,
      -0.00028446469280437675,
      -0.0003465224704349167,
      -0.0004075845819787367,
      -0.00046766704814743326,
      -0.0005267856695921488,
      -0.0005849558151494633,
      -0.0006421926349368189,
      -0.0006985111389584574,
      -0.0007539261287130799,
      -0.000808452102674628,
      -0.0008621033387358795,
      -0.000914893791093025,
      -0.0009668372787005021,
      -0.0010179473231919224,
      -0.0010682373293853919,
      -0.001117720510338866,
      -0.0011664097485927336,
      -0.0012143179394283627,
      -0.0012614574816556968,
      -0.0013078407015626305,
      -0.0013534797867770494,
      -0.0013983866432951452,
      -0.001442573012258172,
      -0.001486050407921324,
      -0.0015288302389864384,
      -0.0015709237774255487,
      -0.0016123419161211785,
      -0.001653095587220518,
      -0.0016931954867982326,
      -0.0017326520342691824,
      -0.0017714755278014347,
      -0.0018096761846210583,
      -0.0018472639649351153,
      -0.0018842486936678136,
      -0.0019206401501239666,
      -0.001956447737195289,
      -0.00199168081738509,
      -0.0020263486286062125,
      -0.002060460218752878,
      -0.002094024500341939,
      -0.0021270502472067183,
      -0.002159546084475899,
      -0.00219152046519069,
      -0.002222981913466577,
      -0.0022539385871014677,
      -0.0022843985960701836,
      -0.0023143699259758964,
      -0.002343860469533434,
      -0.0023728778221591995
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33473473301277,
      10.093558999498772,
      9.84607192321054,
      9.595091886211533,
      9.343096410023566,
      9.092224830389803,
      8.844254276970027,
      8.600594210118757,
      8.36228810009511,
      8.13002542318206,
      7.904176551246309,
      7.684838533569905,
      7.471886665300926,
      7.265027462485038,
      7.063849452374518,
      6.867869381984144,
      6.676572869058593,
      6.489446889176026,
      6.306005903895224,
      6.125811285326053,
      5.94848184224397,
      5.773692432263131,
      5.601183726420162,
      5.430781661831577,
      5.262392653607071,
      5.095990454194062,
      4.931621068680732,
      4.769414978194362,
      4.60960775226828,
      4.452506237206763,
      4.298444600942779,
      4.147783403997797,
      4.000906882325113,
      3.8582043609220498,
      3.72004528274451,
      3.5867651720367433,
      3.458655754955512,
      3.3359578357371404,
      3.2188566831565293,
      3.107479899441917,
      3.0018860897217716,
      2.902061498556641,
      2.807917111464305,
      2.7192806330516603,
      2.635922172606041,
      2.5575945104043556,
      2.4840433566033187,
      2.415006754436108,
      2.350215925533102,
      2.2893886262649064,
      2.232211299294856,
      2.1783045246560917,
      2.127317435335788,
      2.0789151624251936,
      2.0327818229435337,
      1.988637220941553,
      1.9462566957634815,
      1.9054526593057084,
      1.8660719792080613,
      1.827992791188486,
      1.7911093222004575,
      1.7553278819819758,
      1.7205717385039265,
      1.686777500942367,
      1.653891494378854,
      1.6218672364522302,
      1.5906636740380191,
      1.5602439455997614,
      1.5305745027946631,
      1.5016244839804394,
      1.4733658731754362,
      1.445774723802499,
      1.4188288283776058,
      1.3925070325544073,
      1.3667904392790913,
      1.3416605729779,
      1.3170990830265363,
      1.2930879856059438,
      1.2696098061565055,
      1.2466476572706,
      1.224185277145482,
      1.2022070411912955,
      1.1806979572265417,
      1.159643651816728,
      1.139030643162066,
      1.1188470514380298,
      1.0990815016537125,
      1.0797232251114544,
      1.0607615149990317,
      1.0421857263618524,
      1.0239853998424893,
      1.0061503355281705,
      0.9886706337989621,
      0.9715367158433983,
      0.9547393311809285,
      0.9382695555795211,
      0.9221187855247979,
      0.9062787290690887,
      0.8907417231742076,
      0.8755006488135056,
      0.8605484694473445,
      0.8458782617499914,
      0.8314832575629371,
      0.8173568672404552,
      0.8034926907005046,
      0.7898845215157925,
      0.7765263468142706,
      0.7634123437326575,
      0.7505368740646563,
      0.7378944782791106,
      0.7254798697921542,
      0.7132879281088732,
      0.7013136920606338,
      0.6895523535955942,
      0.6779992513527693,
      0.6666498656396818,
      0.6554998116438978,
      0.6445448342943161,
      0.633780803197074,
      0.6232037076978129,
      0.6128096293547288,
      0.6025947070067571,
      0.5925552036407277,
      0.5826875078727483,
      0.5729881218063277,
      0.5634536518011914,
      0.5540808011266094,
      0.5448663648230385,
      0.5358072242758615,
      0.5269003436599426,
      0.5181427663431278,
      0.5095316116018702,
      0.5010644516243677,
      0.49273951529032334,
      0.4845548281402171,
      0.47650819177971215,
      0.46859728715238946,
      0.46081974034294415,
      0.453173163386219,
      0.4456551797275156,
      0.4382634397058116,
      0.43099563002323366,
      0.42384947910934584,
      0.41682275976338307,
      0.4099132903727531,
      0.403119060503056,
      0.39643834153595503,
      0.3898693546572396,
      0.38341025358470165,
      0.3770591642626343,
      0.37081421021343475,
      0.36467352789591423,
      0.3586352760787332,
      0.3526976415614423,
      0.34685885448723075,
      0.3411172996585376,
      0.33547142285263265,
      0.32991963699816984,
      0.32446034675990615,
      0.31909196337280343,
      0.3138129137912607,
      0.30862164616467663,
      0.3035166450326041,
      0.2984964485699732,
      0.29355961237327505,
      0.28870470718305774,
      0.2839303232454659,
      0.2792350726008656,
      0.2746174545848599,
      0.27007585651552163,
      0.2656087779819656,
      0.26121481943184194,
      0.2568926541618969,
      0.2526410103426234,
      0.24845865928712801,
      0.24434440767194684,
      0.24029716843969945,
      0.23631624068525697,
      0.23240093477020124,
      0.2285504129771447,
      0.22476375003546145,
      0.22103997126144115,
      0.21737807681641177,
      0.2137770576977807,
      0.21023590549650006,
      0.2067536188481375,
      0.2033292073410958,
      0.19996169368789607,
      0.1966500704074833,
      0.19339327333210152,
      0.19019028582139996,
      0.18704014237794592,
      0.18394191579588387,
      0.18089470904681662,
      0.17789764997843238,
      0.1749498874834519,
      0.1720505892658723,
      0.1691989399181925,
      0.1663941399720223,
      0.1636354050471315,
      0.1609219651867644,
      0.15825306415988452,
      0.1556279590931595,
      0.15304592028385433,
      0.15050623095310758,
      0.14800818670404425,
      0.14555109542711728,
      0.14313427685804006,
      0.1407570625193661,
      0.13841879538347843,
      0.13611882991265276,
      0.13385653153429888,
      0.13163127647981684,
      0.12944245166777796,
      0.12728945459435195,
      0.125171692803789,
      0.12308858404520874,
      0.12103955612352989,
      0.11902404634283757,
      0.11704150155887251,
      0.11509137794314542,
      0.1131731409359087,
      0.11128626504445911,
      0.1094302336391192,
      0.10760446709195898,
      0.10580835076574341,
      0.10404132066092604,
      0.10230285082474612,
      0.10059244254870149,
      0.0989096176683955,
      0.09725391391700142,
      0.09562488198403478,
      0.09402208341595629,
      0.09244508914074312,
      0.09089347876959591,
      0.08936683970031264,
      0.08786476667447508,
      0.08638686161131705,
      0.0849327331965581,
      0.08350199674304434,
      0.0820942739762817,
      0.08070919296987632,
      0.07934638780435843,
      0.07800549855587859,
      0.07668617131293994,
      0.07538805793099337,
      0.07411081608188384,
      0.07285410884977717,
      0.07161760494183349,
      0.07040097840054081,
      0.06920390858346508,
      0.0680260801402236,
      0.06686718276691102,
      0.06572691117933621,
      0.06460496513337612,
      0.06350104924421039,
      0.06241487307487848,
      0.06134615076597182,
      0.06029460115289734,
      0.05925994760804595,
      0.05824191793779093,
      0.057240244528067016,
      0.05625466398578869,
      0.0552849170565657,
      0.05433074889494217,
      0.05339190868634986,
      0.052468149729926694,
      0.05155922922440242,
      0.05066490851146501,
      0.0497849525769062,
      0.04891913036470048,
      0.048067214383386965,
      0.04722898093705352,
      0.046404209947251994,
      0.045592684890755915,
      0.04479419275693898,
      0.044008523821479274,
      0.04323547190935644,
      0.04247483416590622,
      0.041726410891473754,
      0.04099000578866185,
      0.040265425630947586,
      0.039552480369425096,
      0.03885098298121541,
      0.03816074942499425,
      0.037481598579103145,
      0.03681335236596815,
      0.0361558355667829,
      0.035508875689103214,
      0.034872302999879284,
      0.03424595070312965,
      0.03362965448654469,
      0.033023252770923286,
      0.0324265866074116,
      0.031839499470525695,
      0.031261837588721295,
      0.030693449515301473,
      0.030134186281328693,
      0.029583901297017146,
      0.029042450294442683,
      0.028509691380664993,
      0.02798548497926051,
      0.027469693762005292,
      0.02696218249345524,
      0.02646281813850855,
      0.0259714698380569,
      0.025488008899906996,
      0.025012308689666946,
      0.02454424456157223,
      0.024083693911517448,
      0.023630535939010204,
      0.02318465198226419,
      0.022745925199948953,
      0.02231424069301444,
      0.02188948539966244,
      0.021471548098085755,
      0.021060319290639732,
      0.020655691204518784,
      0.020257557853041456,
      0.019865815008622358,
      0.019480360067970895,
      0.019101092070079234,
      0.018727911707953952,
      0.018360721161964657,
      0.01799942428920104,
      0.017643926405733052,
      0.017294134443620907,
      0.016949956878772852,
      0.016611303524878458,
      0.01627808571429927,
      0.015950216154237563,
      0.015627609054940025,
      0.015310179844614821,
      0.014997845384818752,
      0.014690523943619596,
      0.014388135021187671,
      0.014090599543346448,
      0.013797839474908424,
      0.013509778175561248,
      0.013226340264406854,
      0.012947451521666677,
      0.012673038973112814,
      0.012403030737244013,
      0.012137356067838497,
      0.011875945439151268,
      0.011618730311289361,
      0.011365643376557358,
      0.011116618441864337,
      0.010871590192758029,
      0.010630494531508774,
      0.010393268293604967,
      0.010159849349136269,
      0.009930176689755842,
      0.009704190201928063,
      0.009481830742961626,
      0.00926304004894022,
      0.009047760747713884,
      0.008835936572966836,
      0.008627512047685432,
      0.008422432603817566,
      0.008220644552508132,
      0.008022094994488414,
      0.007826732019390766,
      0.007634504425813079,
      0.007445361978468197,
      0.007259255121806431,
      0.007076135167463259,
      0.006895954172900752,
      0.006718664899728333,
      0.006544220978154707,
      0.006372576718572171,
      0.006203687205861526,
      0.006037508212142286,
      0.0058739962713793776,
      0.005713108616738761,
      0.005554803139982942,
      0.005399038296351107,
      0.005245773335691689,
      0.005094968148938037,
      0.0049465833397553645,
      0.004800580031671351,
      0.004656919906437095,
      0.004515565435093503,
      0.0043764794699435,
      0.004239625677718312,
      0.0041049682313239085,
      0.0039724719620251765,
      0.0038421021451443683,
      0.00371382457979717,
      0.0035876057281408703,
      0.0034634126159363023,
      0.0033412126899799157,
      0.003220973919483782,
      0.003102664842095317,
      0.0029862544466856076,
      0.002871712230120832,
      0.002759008344225418,
      0.002648113268537936,
      0.0025389979747259452,
      0.00243163390771527,
      0.002325992892977335,
      0.0022220472866176888,
      0.0021197699241233274,
      0.0020191340456077503,
      0.001920113292346744,
      0.001822681787883249,
      0.0017268139410433119,
      0.0016324846698771134,
      0.0015396692777743634,
      0.0014483434328004983,
      0.0013584832630067045,
      0.00127006528186082,
      0.001183066378638016,
      0.0010974636768344287,
      0.0010132348834580353,
      0.000930357902336028,
      0.0008488109827682792,
      0.0007685728186113191,
      0.000689622388211542,
      0.0006119390565958597,
      0.0005355024625270536,
      0.0004602926165375318,
      0.00038628991815718754,
      0.0003134748368399467,
      0.0002418283128660671,
      0.0001713315740008244,
      0.00010196624641782997,
      3.3714212533888e-05,
      -3.3442396376090936e-05,
      -9.952124509426225e-05,
      -0.0001645395518753981,
      -0.00022851444251524827,
      -0.0002914626549252136,
      -0.00035340067477708796,
      -0.0004143446730045511,
      -0.0004743104929861622,
      -0.0005333139227279174,
      -0.0005913704067654833,
      -0.0006484952150603532,
      -0.0007047032295434308,
      -0.0007600091105781896,
      -0.000814427386312149,
      -0.0008679723061263693,
      -0.0009206578266362197,
      -0.0009724977937957241,
      -0.001023505882637264,
      -0.001073695345649417,
      -0.0011230791856974012,
      -0.0011716704614778846,
      -0.0012194818999672794,
      -0.0012665260225771132,
      -0.0013128151690059457,
      -0.001358361513770663,
      -0.0014031768849779448,
      -0.0014472730399656352,
      -0.0014906614695358712,
      -0.001533353544945434,
      -0.0015753604289269645,
      -0.001616693234023904,
      -0.0016573626654053134,
      -0.001697379406519619,
      -0.0017367539064945333,
      -0.0017754965548484668,
      -0.0018136173467654104,
      -0.0018511263042752702,
      -0.0018880332418841775,
      -0.001924347805188957,
      -0.001960079597715274,
      -0.0019952378814624403,
      -0.0020298319570607754,
      -0.0020638708818158636,
      -0.0020973635819297237,
      -0.002130318734634801,
      -0.002162745069678787,
      -0.002194650964348169,
      -0.0022260447630218444,
      -0.002256934637802124,
      -0.002287328767168179,
      -0.002317235037051838,
      -0.002346661453790364,
      -0.0023756155327766364
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33473104911385,
      10.093546208794685,
      9.846043975120914,
      9.595044047242833,
      9.343025384295167,
      9.092128422762302,
      8.844131147871542,
      8.600443829212269,
      8.362110443676508,
      8.129820724428425,
      7.90394517943831,
      7.684580903079864,
      7.471603178413163,
      7.264718481120509,
      7.063515293306781,
      6.867510316611963,
      6.676189140889523,
      6.489038774598083,
      6.305573752224233,
      6.125355586782203,
      5.9480033143866216,
      5.773192042785228,
      5.600662718368278,
      5.430241558020891,
      5.261835212662143,
      5.09541753229493,
      4.931034720549325,
      4.768817726481553,
      4.609002959834982,
      4.4518974346375755,
      4.2978353008063666,
      4.14717711948939,
      4.000307224743862,
      3.857614831991919,
      3.7194691221166116,
      3.586205307597714,
      3.4581147579761833,
      3.3354378880854596,
      3.218359559308996,
      3.1070069605104877,
      3.0014381293908805,
      2.9016387682070772,
      2.8075192150638317,
      2.718906604514146,
      2.635570498480231,
      2.557263529795909,
      2.4837312473370927,
      2.4147116057975286,
      2.349935858017046,
      2.2891216664444496,
      2.231955156002671,
      2.1780567658791874,
      2.1270758832048733,
      2.0786778532502606,
      2.0325469582823237,
      1.9884034077438228,
      1.9460229029407032,
      1.9052180690617269,
      1.8658359109481337,
      1.827754763044652,
      1.7908689099775408,
      1.755084770005115,
      1.7203257301571955,
      1.6865284822293456,
      1.6536394084749995,
      1.6216120662534814,
      1.5904054299938688,
      1.559982656054706,
      1.530310208630119,
      1.5013572424460637,
      1.4730957626758063,
      1.4455019754347282,
      1.4185538176043908,
      1.3922302279928016,
      1.3665121737710588,
      1.3413810777923962,
      1.3168185224246312,
      1.2928064802653627,
      1.269327447485344,
      1.2463645180504317,
      1.2239014177919285,
      1.2019225135139373,
      1.180412807977794,
      1.1593579239948482,
      1.1387443879375985,
      1.1185603328735185,
      1.0987943835298637,
      1.0794357651859945,
      1.0604737624082354,
      1.0418977246498358,
      1.0236971889066184,
      1.0058619525342656,
      0.9883821137773322,
      0.9712480931888634,
      0.9544506389039984,
      0.9379808261741317,
      0.9218300511134279,
      0.905990056378524,
      0.8904532896235524,
      0.875212602858066,
      0.8602609138148383,
      0.8455912697721097,
      0.831196883476978,
      0.8170711528246843,
      0.8032076695279968,
      0.7896002222617544,
      0.7762427948608897,
      0.763129561838371,
      0.7502548832453768,
      0.7376132986992214,
      0.7251995204213308,
      0.7130084273326512,
      0.7010350579736843,
      0.6892746038257371,
      0.6777224033079645,
      0.6663739362349014,
      0.6552248173235165,
      0.6442707911969106,
      0.6335077270809115,
      0.6229316139083274,
      0.6125385323243665,
      0.6023246206595669,
      0.5922861416602075,
      0.5824194841400155,
      0.5727211500169753,
      0.5631877454302742,
      0.5538159736154676,
      0.5446026289193012,
      0.5355445922046025,
      0.5266388274390168,
      0.5178823776334819,
      0.5092723618564489,
      0.5008064357295497,
      0.4924828302089012,
      0.48429953667093584,
      0.476254334848509,
      0.4683448917507035,
      0.4605688243098445,
      0.45292373872903147,
      0.4454072546708232,
      0.4380170200861968,
      0.4307507201367222,
      0.42360608183550186,
      0.41658087713836595,
      0.40967292395057714,
      0.402880235092297,
      0.3962010822752439,
      0.38963367661500053,
      0.38317616530640675,
      0.3768266702477826,
      0.3705833123060043,
      0.36444422612698046,
      0.35840756924464434,
      0.35247152757794964,
      0.34663433598826565,
      0.3408943857869934,
      0.3352501176306612,
      0.32969994115266743,
      0.3242422588946952,
      0.31887548057068893,
      0.3135980321190237,
      0.30840836103123637,
      0.30330495323411,
      0.298286346699239,
      0.29335109602786114,
      0.28849777121052916,
      0.28372496177953727,
      0.2790312796400743,
      0.2744152281177848,
      0.2698751947329251,
      0.265409677384886,
      0.2610172751693242,
      0.2566966607182541,
      0.25244656163508317,
      0.24826574892508088,
      0.24415302893351049,
      0.24010731149893183,
      0.23612789175647003,
      0.23221408229956636,
      0.22836504679188593,
      0.22457986068839397,
      0.2208575497332105,
      0.21719711443437936,
      0.21359754582598323,
      0.2100578357589662,
      0.20657698295780438,
      0.20315399677523663,
      0.1997879000231468,
      0.19647768097275234,
      0.19322227515191526,
      0.19002066758372305,
      0.1868718938134288,
      0.18377502725073908,
      0.18072917136308728,
      0.17773345422220377,
      0.17478702485165037,
      0.1718890509797184,
      0.1690387172819119,
      0.1662352243163763,
      0.16347778765982474,
      0.1607656372101043,
      0.1580980167358131,
      0.15547418343724798,
      0.15289340756211325,
      0.15035497220891839,
      0.14785817304490906,
      0.14540231793130898,
      0.1429867266461636,
      0.14061073061538962,
      0.13827367296346532,
      0.1359749079616495,
      0.13371380098589955,
      0.13148972834213052,
      0.1293020769014989,
      0.12715024412367418,
      0.1250336377306256,
      0.12295167533548679,
      0.12090378459824518,
      0.11888940290997004,
      0.11690797706987509,
      0.11495896337345347,
      0.11304182725398428,
      0.1111560432396326,
      0.10930109472373835,
      0.10747647370673398,
      0.10568161690728087,
      0.10391592043856995,
      0.10217882735161385,
      0.10046981893286441,
      0.09878840395095903,
      0.09713411154218383,
      0.09550648684299898,
      0.09390508780655607,
      0.09232948307689881,
      0.09077925067758569,
      0.0892539770069755,
      0.08775325642946988,
      0.08627669052560258,
      0.08482388765721927,
      0.08339446318954116,
      0.08198803889166864,
      0.08060424272893842,
      0.07924270885840079,
      0.0779030775065822,
      0.07658499481133052,
      0.07528811275807636,
      0.07401208897506754,
      0.07275658679365991,
      0.07152127492509142,
      0.07030582758330073,
      0.06910992423956044,
      0.06793324963133206,
      0.06677549353933962,
      0.06563635089471882,
      0.0645155215390735,
      0.0634127102129257,
      0.06232762644087381,
      0.06125998449512634,
      0.06020950337631209,
      0.05917590652909793,
      0.05815892184755423,
      0.05715828171309339,
      0.05617372287723173,
      0.055204986354391146,
      0.054251817260688284,
      0.053313965033692005,
      0.05239118298480419,
      0.0514832285181076,
      0.0505898629287068,
      0.04971085136841785,
      0.04884596290577387,
      0.04799497029214209,
      0.04715764977034965,
      0.04633378134806981,
      0.04552314862134472,
      0.04472553866889447,
      0.04394074186732081,
      0.04316855209753221,
      0.042408766604713335,
      0.04166118597661423,
      0.04092561387977563,
      0.04020185715427908,
      0.03948972576797966,
      0.03878903278899497,
      0.038099594325668604,
      0.03742122939216491,
      0.03675375984576079,
      0.03609701062109963,
      0.035450809458047426,
      0.03481498668796824,
      0.03418937549435356,
      0.03357381171992027,
      0.0329681339258274,
      0.03237218321958243,
      0.031785803245491503,
      0.0312088402038795,
      0.030641142727552396,
      0.030082561863173804,
      0.02953295115093057,
      0.028992166472044334,
      0.028460066058061992,
      0.0279365103501825,
      0.02742136196924047,
      0.02691448583997208,
      0.026415749088963037,
      0.025925021002435177,
      0.025442172883659075,
      0.024967078071198728,
      0.024499611933217338,
      0.02403965206052076,
      0.023587077831898742,
      0.023141770591234026,
      0.02270361363447341,
      0.02227249207730226,
      0.021848292903232834,
      0.02143090495346146,
      0.02102021885591639,
      0.020616126899195338,
      0.020218523145066298,
      0.019827303471469937,
      0.019442365323835385,
      0.0190636077712238,
      0.018690931537164616,
      0.018324238966901173,
      0.017963434001117173,
      0.017608422130201987,
      0.01725911025927787,
      0.016915406807837305,
      0.016577221757875328,
      0.016244466510908166,
      0.01591705379516142,
      0.015594897902592003,
      0.015277914352601629,
      0.014966020069882475,
      0.014659133332156852,
      0.014357173793448526,
      0.014060062359830108,
      0.01376772110182829,
      0.013480073445149248,
      0.013197043978390093,
      0.012918558532704374,
      0.012644544164498357,
      0.012374929104709057,
      0.01210964270622572,
      0.01184861540223102,
      0.011591778885151116,
      0.011339065851142036,
      0.011090410130680382,
      0.010845746562601045,
      0.010605010935462483,
      0.010368140270199165,
      0.010135072483918194,
      0.009905746521722832,
      0.009680102371500951,
      0.009458080860317682,
      0.009239623797707586,
      0.009024673912486998,
      0.008813175016234217,
      0.008605071642973798,
      0.008400309270273125,
      0.008198834188095475,
      0.00800059368880641,
      0.007805535923896535,
      0.007613609681407001,
      0.007424764732121335,
      0.007238951594238267,
      0.007056121517350067,
      0.006876226679141328,
      0.00669922002955918,
      0.00652505511873147,
      0.006353686315472277,
      0.006185068755548212,
      0.0060191582290678525,
      0.005855911337895844,
      0.005695285166152301,
      0.0055372377789615615,
      0.005381727721848572,
      0.005228714214392716,
      0.005078157320598369,
      0.004930017448336229,
      0.004784255830331902,
      0.0046408343719352265,
      0.004499715456971302,
      0.0043608621183089695,
      0.004224237956202323,
      0.004089807148121173,
      0.00395753453106864,
      0.003827385456691112,
      0.0036993258655819714,
      0.0035733220643102644,
      0.0034493411849958735,
      0.00332735074425562,
      0.0032073187512464247,
      0.0030892139001985133,
      0.0029730051039026806,
      0.002858661912483323,
      0.0027461544000965056,
      0.002635453123988569,
      0.0025265290913253752,
      0.002419353715562189,
      0.0023138989141777973,
      0.0022101370872942244,
      0.002108041155870609,
      0.002007584175205164,
      0.0019087398847210328,
      0.0018114824201634423,
      0.001715786383798396,
      0.001621626782940033,
      0.001528978874652168,
      0.0014378182910827642,
      0.0013481211921008657,
      0.0012598641143441356,
      0.0011730239364022535,
      0.0010875778452216886,
      0.0010035035391847164,
      0.0009207790387856054,
      0.0008393825430841879,
      0.0007592927894466528,
      0.0006804888619371597,
      0.0006029500454004485,
      0.0005266561006768903,
      0.00045158698774339486,
      0.00037772306056451857,
      0.00030504496466354477,
      0.00023353358639057725,
      0.0001631702834460048,
      9.393657609800038e-05,
      2.581441824950215e-05,
      -4.121403253349599e-05,
      -0.00010716637030638154,
      -0.000172059952762817,
      -0.0002359118041138817,
      -0.00029873849722295953,
      -0.0003605565494940111,
      -0.00042138227158991195,
      -0.00048123153866908247,
      -0.0005401199673088459,
      -0.0005980629895970002,
      -0.0006550757862795832,
      -0.0007111732511836165,
      -0.0007663701830813062,
      -0.0008206809686880003,
      -0.0008741197533710475,
      -0.0009267006178659339,
      -0.0009784373087881903,
      -0.0010293434329266622,
      -0.001079432281331048,
      -0.0011287170154176498,
      -0.0011772105273496769,
      -0.0012249255228561629,
      -0.0012718744118707542,
      -0.0013180695609568563,
      -0.0013635231636227375,
      -0.0014082470847383004,
      -0.0014522530087689826,
      -0.0014955524030763076,
      -0.0015381566710719766,
      -0.0015800769487580397,
      -0.001621324218564532,
      -0.0016619092950739206,
      -0.0017018428995915615,
      -0.001741135377462853,
      -0.0017797969933215875,
      -0.0018178379077243352,
      -0.0018552680770762683,
      -0.001892097388334274,
      -0.0019283355130419496,
      -0.0019639918754800843,
      -0.001999075816951571,
      -0.0020335965433373017,
      -0.0020675630148585767,
      -0.002100984127632753,
      -0.0021338687741242995,
      -0.0021662255089157922,
      -0.0021980627732739078,
      -0.0022293888583145827,
      -0.002260212058407261,
      -0.0022905404937538895,
      -0.0023203820087010713,
      -0.002349744298063364,
      -0.0023786352234653595
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334727375791706,
      10.093533453404405,
      9.846016097091015,
      9.594996319172894,
      9.342954514776387,
      9.092032220570669,
      8.844008279176325,
      8.600293765643489,
      8.361933159840238,
      8.12961645350534,
      7.90371428852612,
      7.684323806254634,
      7.471320279867618,
      7.264410144036915,
      7.063181833240051,
      6.86715200479645,
      6.6758062213898395,
      6.488631524373476,
      6.305142521023876,
      6.124900865360833,
      5.94752582263248,
      5.77269275399082,
      5.600142880126833,
      5.429702691771784,
      5.261279075983703,
      5.094845980078672,
      4.9304498052111105,
      4.76822201225638,
      4.608399842325779,
      4.451290428375403,
      4.2972279022714,
      4.146572826770351,
      3.9997096349802503,
      3.857027431285002,
      3.71889513353152,
      3.5856476423322943,
      3.4575759716117336,
      3.3349201493298604,
      3.217864629878835,
      3.1065361900714477,
      3.000992301885809,
      2.9012181266822155,
      2.8071233568417977,
      2.718534556926648,
      2.6352207441740227,
      2.556934406242801,
      2.4834209320755245,
      2.414418188285525,
      2.349657459524237,
      2.2888563154228265,
      2.2317005645604295,
      2.177810506856996,
      2.1268357834377984,
      2.0784419541148886,
      2.0323134662582025,
      1.9881709331122774,
      1.9457904180584473,
      1.9049847582482307,
      1.865601096435697,
      1.8275179655978826,
      1.7906297076464655,
      1.7548428490106105,
      1.7200808954948446,
      1.6862806216271127,
      1.6533884665294896,
      1.6213580266144807,
      1.59014830334303,
      1.5597224717628009,
      1.5300470083246223,
      1.5010910863288967,
      1.4728268091752885,
      1.445230492686395,
      1.4182801388817012,
      1.391954792810775,
      1.3662352963031394,
      1.3411029770948653,
      1.316539355007675,
      1.2925263617277467,
      1.2690464664630723,
      1.2460827453262617,
      1.2236189123450592,
      1.2016393271891224,
      1.1801289875531753,
      1.1590735128874072,
      1.1384594374133108,
      1.1182749066602138,
      1.0985085455551544,
      1.0791495732716492,
      1.0601872660239031,
      1.0416109678372958,
      1.0234102117136539,
      1.0055747925873189,
      0.9880948072317475,
      0.9709606744977863,
      0.9541631415930226,
      0.9376932832492596,
      0.9215424947461188,
      0.9057025865504675,
      0.8901660983154502,
      0.874925820584037,
      0.8599746317332779,
      0.8453055538006974,
      0.8309117831503259,
      0.8167867070505178,
      0.8029239104757978,
      0.7893171774174029,
      0.7759604883715863,
      0.7628480158385604,
      0.7499741185808808,
      0.7373333352814577,
      0.7249203777975907,
      0.7127301243545817,
      0.70075761286121,
      0.6889980342958791,
      0.6774467268446784,
      0.6660991698152576,
      0.6549509774893887,
      0.6439978943450578,
      0.6332357892617876,
      0.6226606507666871,
      0.6122685582428532,
      0.6020556497218825,
      0.5920181879181833,
      0.5821525615677762,
      0.5724552725341967,
      0.5629229265874555,
      0.5535522263726963,
      0.5443399660776448,
      0.5352830264745729,
      0.5263783711966423,
      0.5176230427206118,
      0.5090141596020668,
      0.5005494602840083,
      0.4922271784564483,
      0.4840452715554594,
      0.4760014974101102,
      0.46809350908910985,
      0.46031891462045993,
      0.4526753142682706,
      0.4451603238562428,
      0.437771588662168,
      0.43050679209686343,
      0.42336366023271066,
      0.4163399641483186,
      0.4094335210299094,
      0.4026423670705532,
      0.3959647743537617,
      0.3893989440420923,
      0.3829430168999433,
      0.3765951106689742,
      0.3703533433733651,
      0.36421584791334266,
      0.35818078073115733,
      0.3522463268938123,
      0.34641072574309517,
      0.3406723751407698,
      0.33502971048580094,
      0.3294811382200371,
      0.3240250586623657,
      0.3186598802360527,
      0.31338402791507286,
      0.30819594847105414,
      0.3030941291560296,
      0.2980771077906532,
      0.29314343793164144,
      0.28829168879521594,
      0.2835204495321533,
      0.27882833158406356,
      0.27421384253594017,
      0.26967536996054947,
      0.2652114098547728,
      0.26082056025801253,
      0.2565014929884493,
      0.2522529350988995,
      0.24807365708713153,
      0.24396246511061076,
      0.23991826574199623,
      0.2359403497137746,
      0.23202803206817874,
      0.2281804780394634,
      0.22439676397158773,
      0.2206759160598697,
      0.21701693516981554,
      0.21341881257373294,
      0.2098805401524881,
      0.206401116412564,
      0.20297955090091815,
      0.1996148663992835,
      0.19630604697961737,
      0.19305202801585922,
      0.1898517960910988,
      0.18670438767735198,
      0.18360887684948762,
      0.18056436746720356,
      0.17756998786276085,
      0.17462488713108093,
      0.171728233066944,
      0.1688792105085658,
      0.16607702006319086,
      0.1633208772682545,
      0.16061001188651464,
      0.15794366775366742,
      0.155321102078122,
      0.15274158506889327,
      0.1502043998404103,
      0.14770884191324163,
      0.1452542191186611,
      0.14283985119340936,
      0.14046506969479197,
      0.13812921763143357,
      0.13583164916515136,
      0.13357172970174147,
      0.1313488355503642,
      0.12916235380694122,
      0.1270116817033211,
      0.12489622686510837,
      0.12281540705460887,
      0.12076864988763532,
      0.1187553927399604,
      0.11677508253218034,
      0.1148271755890501,
      0.11291113722359661,
      0.11102644198615011,
      0.10917257319261933,
      0.10734902289516769,
      0.10555529163913563,
      0.10379083435956751,
      0.1020550579928954,
      0.10034741176382508,
      0.09866738350004059,
      0.09701448887484267,
      0.09538826406731335,
      0.09378826113206215,
      0.09221404497248693,
      0.0906651913342411,
      0.08914128510438007,
      0.08764191954676794,
      0.08616669571342088,
      0.08471522171771775,
      0.08328711259908363,
      0.08188199005333226,
      0.08049948205570744,
      0.0791392227576756,
      0.07780085255846132,
      0.07648401761684145,
      0.07518837006106213,
      0.07391356768885804,
      0.07265927378326396,
      0.07142515720621934,
      0.07021089224162355,
      0.06901615843923611,
      0.06784064065251966,
      0.0666840287682948,
      0.06554601788415056,
      0.06442630795473829,
      0.06332460379299178,
      0.06224061510544574,
      0.06117405617918478,
      0.06012464602208986,
      0.0590921083136652,
      0.058076171112225294,
      0.057076566906133955,
      0.05609303250024169,
      0.055125308946808706,
      0.05417314159138125,
      0.053236279809816385,
      0.052314477091542806,
      0.05140749095994582,
      0.05051508283179866,
      0.04963701791649802,
      0.04877306531447392,
      0.04792299784054513,
      0.04708659194086059,
      0.04626362782096692,
      0.04545388909504177,
      0.04465716294414632,
      0.04387323985859569,
      0.043101913873578195,
      0.04234298228669612,
      0.04159624562019289,
      0.04086150777704632,
      0.040138575681563086,
      0.03942725936128811,
      0.038727371999288315,
      0.0380387297373805,
      0.037361151869877166,
      0.0366944603652288,
      0.0360384801006369,
      0.03539303881218143,
      0.03475796708474634,
      0.034133098130123316,
      0.03351826793784053,
      0.03291331509304422,
      0.032318080801881865,
      0.03173240882486268,
      0.031156145420364507,
      0.030589139322952118,
      0.030031241846137917,
      0.02948230642846483,
      0.028942189034340836,
      0.02841074782646875,
      0.027887843412962413,
      0.027373338614134657,
      0.026867098403305895,
      0.026368990021237944,
      0.02587888278132786,
      0.02539664802936705,
      0.024922159218941378,
      0.02445529186179517,
      0.02399592352418927,
      0.02354393367826901,
      0.02309920385408566,
      0.02266161739851883,
      0.022231059419368662,
      0.021807417017685116,
      0.021390579062106705,
      0.020980436238841257,
      0.020576881027465424,
      0.020179807559587235,
      0.019789111726104563,
      0.019404691023670997,
      0.019026444579305732,
      0.018654273219733813,
      0.01828807927362587,
      0.01792776678692239,
      0.017573241235688854,
      0.017224409785639445,
      0.016881181004710824,
      0.01654346472087965,
      0.016211172432050315,
      0.01588421700395603,
      0.015562512639842983,
      0.015245975053391555,
      0.01493452124005927,
      0.014628069558581492,
      0.014326539722717578,
      0.014029852530946846,
      0.013737930147519986,
      0.01345069614711657,
      0.013168075214990048,
      0.012889993278131607,
      0.012616377316378198,
      0.012347155527542371,
      0.01208225745958063,
      0.011821613740371965,
      0.011565156041063092,
      0.011312816998913717,
      0.01106453051287735,
      0.01082023156055939,
      0.010579856089454774,
      0.010343340988294565,
      0.010110624348642997,
      0.009881645107078193,
      0.00965634326386706,
      0.009434659825635667,
      0.009216536624754423,
      0.009001916377657938,
      0.008790742834892507,
      0.008582960719835697,
      0.008378515549784424,
      0.008177353714902788,
      0.007979422420343434,
      0.007784669797308855,
      0.007593044833069676,
      0.00740449724691386,
      0.0072189776558092365,
      0.00703643745021366,
      0.0068568287561512455,
      0.006680104552630525,
      0.006506218576219777,
      0.006335125171128519,
      0.006166779441087471,
      0.0060011371873559555,
      0.00583815512345182,
      0.005677790444461371,
      0.005520001097832992,
      0.005364745777382936,
      0.005211983678666207,
      0.0050616748220029375,
      0.004913779825675348,
      0.004768260050423534,
      0.004625077263261067,
      0.00448419383728434,
      0.004345572921892901,
      0.004209178171080165,
      0.004074973823319191,
      0.003942924752149451,
      0.0038129963536373507,
      0.0036851545758854925,
      0.0035593658363414094,
      0.0034355971444457066,
      0.0033138161565229984,
      0.0031939908961566626,
      0.0030760899914125364,
      0.002960082513087032,
      0.002845938063295351,
      0.0027336267267605917,
      0.0026231190484938697,
      0.002514385994223898,
      0.002407399141991387,
      0.0023021304558971125,
      0.00219855220171551,
      0.002096637308625108,
      0.0019963591165065163,
      0.001897691405085422,
      0.00180060816994539,
      0.0017050840422768584,
      0.0016110939791798373,
      0.0015186132926245394,
      0.0014276177369624493,
      0.001338083502916227,
      0.001249987187638607,
      0.0011633056393200276,
      0.0010780161333426325,
      0.0009940963276512333,
      0.0009115242450008157,
      0.0008302782439533699,
      0.000750336959313993,
      0.0006716794791486695,
      0.000594285192624388,
      0.0005181338809030859,
      0.00044320551690172055,
      0.0003694803583191184,
      0.0002969391119307423,
      0.00022556290247431775,
      0.00015533300119996077,
      8.62310769154159e-05,
      1.8238862957924612e-05,
      -4.866144992284888e-05,
      -0.00011448747441283938,
      -0.00017925637763035394,
      -0.00024298520957495288,
      -0.00030569059440809724,
      -0.000367388955068627,
      -0.0004280964185309569,
      -0.00048782894268145464,
      -0.0005466021819122155,
      -0.0006044316376820564,
      -0.0006613322802887274,
      -0.0007173190785203057,
      -0.0007724067782925504,
      -0.0008266099353447912,
      -0.0008799426796840642,
      -0.0009324189555822371,
      -0.0009840524553958183,
      -0.0010348566732852331,
      -0.0010848450663929993,
      -0.0011340307133171337,
      -0.0011824264354116595,
      -0.001230044967941783,
      -0.0012768987428616162,
      -0.0013230000332011464,
      -0.0013683609566076315,
      -0.0014129934656634273,
      -0.0014569092612869185,
      -0.0015001197749548673,
      -0.0015426363601184325,
      -0.0015844701393724538,
      -0.0016256321436279916,
      -0.0016661330499200308,
      -0.001705983535230323,
      -0.0017451941466197947,
      -0.0017837750881556985,
      -0.001821736286336728,
      -0.0018590877536353945,
      -0.0018958394368009147,
      -0.0019320010271026786,
      -0.001967581934610157,
      -0.002002591420624555,
      -0.0020370386150169685,
      -0.0020709327109409634,
      -0.0021042824540059403,
      -0.002137096526324436,
      -0.002169383695332411,
      -0.002201152307297909,
      -0.0022324107336827294,
      -0.002263167181206425,
      -0.0022934297751621632,
      -0.002323206343147657,
      -0.002352504668500057,
      -0.0023813324826114568
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334723708775272,
      10.093520717626118,
      9.845988250851239,
      9.594948634512486,
      9.342883702952287,
      9.091936091838907,
      8.843885499106388,
      8.600143805213888,
      8.361755994947035,
      8.129412316489757,
      7.903483547255853,
      7.684066875485839,
      7.471037562124087,
      7.264102001331454,
      7.062848582057358,
      6.866793916750543,
      6.675423540239576,
      6.4882245270090335,
      6.30471155701722,
      6.1244464210535865,
      5.947048616469538,
      5.772193760259927,
      5.5996233467376335,
      5.429164139823924,
      5.260723263755102,
      5.094274763443738,
      4.92986523581947,
      4.767626720130193,
      4.607797269796263,
      4.450684072641413,
      4.296621243957733,
      4.145969348445232,
      3.9991129180180565,
      3.8564409477910537,
      3.7183220948790296,
      3.5850909494745653,
      3.4570381706044153,
      3.334403399363562,
      3.217370684800704,
      3.10606639252309,
      3.0005474290221867,
      2.9007984152966206,
      2.8067283986195877,
      2.7181633753601924,
      2.634871818846085,
      2.556606072820875,
      2.483111366753522,
      2.4141254801491687,
      2.349379730158051,
      2.288591594192632,
      2.231446565719407,
      2.1775648063813517,
      2.1265962125136553,
      2.078206557280585,
      2.032080453853074,
      1.9879389196763064,
      1.9455583786320916,
      1.9047518951322557,
      1.8653667387197652,
      1.8272816275468287,
      1.7903909630801587,
      1.7546013816068353,
      1.7198365082738507,
      1.6860332006026044,
      1.653137955707396,
      1.6211044095132452,
      1.5898915906129125,
      1.5594626924330537,
      1.529784204181749,
      1.5008253177227446,
      1.4725582367026362,
      1.444959385109617,
      1.418006870983244,
      1.3916797890023602,
      1.3659588612043085,
      1.3408253229534237,
      1.316260634317571,
      1.2922466875369627,
      1.268765926013889,
      1.245801408449681,
      1.2233368378640272,
      1.2013565665681463,
      1.1798455870152464,
      1.1587895153710854,
      1.1381748992754896,
      1.1179898898299452,
      1.0982231124931132,
      1.078863781270643,
      1.059901164451914,
      1.041324600296743,
      1.02312361808406,
      1.0052880102399118,
      0.9878078721303,
      0.970673621016976,
      0.9538760034951492,
      0.9374060933277997,
      0.9212552853241236,
      0.9054154918148902,
      0.8898792974625437,
      0.8746394357345183,
      0.8596887489986916,
      0.8450202358588265,
      0.8306270774330399,
      0.8165026509343528,
      0.8026405353179382,
      0.7890345104291819,
      0.7756785539115539,
      0.7625668361266642,
      0.749693714600657,
      0.7370537271081761,
      0.7246415848120384,
      0.7124521651903458,
      0.7004805057468415,
      0.6887217971063098,
      0.6771713771677975,
      0.6658247246774498,
      0.6546774538086072,
      0.6437253084583834,
      0.6329641572315958,
      0.6223899884741989,
      0.6119988800988078,
      0.6017869699348777,
      0.5917505208886672,
      0.5818859213853665,
      0.5721896729496725,
      0.5626583810787616,
      0.5532887482790028,
      0.544077568141206,
      0.5350217211883876,
      0.5261181707125748,
      0.5173639588772513,
      0.5087562040214972,
      0.5002927275551319,
      0.49197176551350713,
      0.4837912412331714,
      0.4757488907848363,
      0.4678423531369616,
      0.46006922720157867,
      0.4524271075741145,
      0.44491360622923753,
      0.4375263661937596,
      0.4302630690164733,
      0.4231214395145589,
      0.41609924800723713,
      0.4091943111557426,
      0.402404688262453,
      0.39572865169689786,
      0.38916439268458003,
      0.38271004559930466,
      0.3763637241173345,
      0.37012354335849174,
      0.36398763451675636,
      0.35795415285513066,
      0.35202128260246945,
      0.34618726765748736,
      0.3404505124454358,
      0.334809447146167,
      0.32926247499797995,
      0.3238079941990163,
      0.3184444116152578,
      0.31317015132043646,
      0.3079836594297113,
      0.3028834246983815,
      0.2978679846183587,
      0.2929358917404982,
      0.2880857146347385,
      0.2833160418167255,
      0.2786254843798868,
      0.27401255380031647,
      0.26947563788116125,
      0.2650132311100183,
      0.2606239302024208,
      0.25630640608566513,
      0.25205938547727536,
      0.24788163837963934,
      0.2437719707240967,
      0.23972928574125188,
      0.2357528695064737,
      0.23184203957344027,
      0.2279959626053567,
      0.22421371603592666,
      0.22049432673714056,
      0.2168367958268374,
      0.21324011473602705,
      0.20970327543546038,
      0.20622527647721467,
      0.2028051274341578,
      0.19944185100444092,
      0.19613442705841866,
      0.19288179062251787,
      0.1896829300785286,
      0.18653688288579343,
      0.18344272374363801,
      0.180399556952859,
      0.17740651107886768,
      0.17446273534379345,
      0.17156739761439943,
      0.16871968271346885,
      0.16591879126546666,
      0.1631639387552975,
      0.1604543549689894,
      0.15778928368812495,
      0.15516798214791572,
      0.1525897205311552,
      0.15005378191047564,
      0.14755946173579385,
      0.1451060677887907,
      0.14269291981532467,
      0.14031934933221402,
      0.1379846993715196,
      0.13568832422688754,
      0.13342958920076728,
      0.13120787047949917,
      0.12902255500938714,
      0.12687304017572953,
      0.12475873368587402,
      0.12267905326712009,
      0.12063342658060658,
      0.11862129105143064,
      0.11664209348763713,
      0.11469529011716542,
      0.11278034647049641,
      0.11089673700663853,
      0.10904394509270508,
      0.10722146268139698,
      0.10542879036058696,
      0.1036654372148896,
      0.10193087801444045,
      0.10022453045467601,
      0.09854584893833981,
      0.09689432719444567,
      0.09526948729138028,
      0.09367087209566718,
      0.09209804048593666,
      0.09055056428598328,
      0.0890280259569123,
      0.08753001716778727,
      0.08605613791118863,
      0.08460599571839025,
      0.08317920519063984,
      0.08177538778794528,
      0.0803941714098623,
      0.07903519034932534,
      0.07769808482688474,
      0.07638250110930125,
      0.07508809134732422,
      0.07381451339045861,
      0.07256143072070077,
      0.07132851228897005,
      0.07011543240616483,
      0.06892187083201211,
      0.06774751256539721,
      0.06659204754290013,
      0.06545517096579213,
      0.06433658289248678,
      0.06323598824025939,
      0.0621530968301027,
      0.06108762307449432,
      0.06003928611138975,
      0.059007809758890487,
      0.05799292210186375,
      0.05699435574056737,
      0.05601184757553094,
      0.05504513888851283,
      0.054093975045517134,
      0.05315810554569714,
      0.052237283990389655,
      0.05133126793099401,
      0.05043981886490088,
      0.04956270222449548,
      0.04869968713564371,
      0.047850546565747526,
      0.04701505706953944,
      0.04619299882192573,
      0.04538415560124325,
      0.04458831457894093,
      0.04380526665395614,
      0.04303480579239208,
      0.042276729330244046,
      0.041530838012235095,
      0.04079693572217558,
      0.040074829585098996,
      0.03936432971885115,
      0.0386652493789141,
      0.037977404848160624,
      0.037300615249054106,
      0.03663470281527087,
      0.03597949261213959,
      0.03533481241447556,
      0.03470049286191219,
      0.034076367300902737,
      0.0334622717767551,
      0.03285804499835139,
      0.03226352820482238,
      0.031678565359924006,
      0.031103002720768328,
      0.03053668908366539,
      0.02997947567058473,
      0.0294312161393038,
      0.028891766609793153,
      0.02836098541980089,
      0.02783873317559931,
      0.027324872849498832,
      0.026819269492266883,
      0.02632179028432916,
      0.02583230452508543,
      0.025350683904262334,
      0.024876801898052275,
      0.024410534063106806,
      0.02395175802659612,
      0.023500353337986616,
      0.023056201544932785,
      0.02261918609211027,
      0.022189192246710576,
      0.021766107127869527,
      0.02134981974183027,
      0.020940220777940277,
      0.020537202807196946,
      0.020140660001323703,
      0.01975048824637952,
      0.019366585173830442,
      0.01898885003319043,
      0.018617183729714947,
      0.018251488728745515,
      0.01789166915083911,
      0.01753763051046913,
      0.017189279886427197,
      0.016846525901102687,
      0.0165092786043771,
      0.01617744942608204,
      0.01585095139517434,
      0.015529698792246053,
      0.015213607367185312,
      0.014902594116915009,
      0.014596577456069182,
      0.014295477138874855,
      0.013999214173635728,
      0.013707710881943988,
      0.01342089073376486,
      0.013138678601094545,
      0.012861000329355698,
      0.01258778305144873,
      0.012318955003365563,
      0.012054445732496828,
      0.011794185846925606,
      0.011538107124977787,
      0.011286142469988837,
      0.011038225742642205,
      0.010794291826170406,
      0.010554276618721721,
      0.010318117169986318,
      0.010085751656976514,
      0.009857119058657845,
      0.00963215945102932,
      0.009410813899140249,
      0.009193024289488259,
      0.008978733534606244,
      0.008767885336226102,
      0.008560424422597022,
      0.008356296293258462,
      0.008155447406061183,
      0.007957825157796304,
      0.007763377645920054,
      0.007572053929524634,
      0.00738380375911831,
      0.007198577780494587,
      0.007016327506217988,
      0.0068370051254144516,
      0.00666056348152926,
      0.0064869563071267575,
      0.006316138080502743,
      0.006148063986787775,
      0.0059826899712783444,
      0.005819972623621408,
      0.0056598692111836804,
      0.005502337842047599,
      0.00534733723685297,
      0.005194826681359357,
      0.005044766127425092,
      0.004897116341221812,
      0.004751838418440301,
      0.004608894248511959,
      0.00446824648614946,
      0.004329858207199571,
      0.004193693088391976,
      0.0040597153727878164,
      0.003927889983989683,
      0.0037981822673438127,
      0.00367055825506176,
      0.003544984449724813,
      0.0034214279540463583,
      0.0032998563668004063,
      0.0031802378212485664,
      0.003062540910877813,
      0.002946734763265289,
      0.0028327889762453473,
      0.002720673568470908,
      0.002610359268935892,
      0.0025018171791279377,
      0.002395018825243953,
      0.0022899360654779015,
      0.002186541405738699,
      0.0020848077515889796,
      0.0019847084357710945,
      0.0018862171577548209,
      0.0017893080715074019,
      0.0016939557667351862,
      0.0016001353089370404,
      0.001507821976203323,
      0.001416991607526988,
      0.0013276204314642956,
      0.001239684953738423,
      0.0011531620941915798,
      0.001068029102411905,
      0.000984263729227637,
      0.000901844101044627,
      0.0008207485070936012,
      0.0007409556002629326,
      0.0006624445231061968,
      0.0005851947052437471,
      0.0005091858462595348,
      0.0004343980456960071,
      0.0003608117060011134,
      0.00028840745563578704,
      0.00021716627654796853,
      0.00014706957575108802,
      7.809894678570243e-05,
      1.0236320585248169e-05,
      -5.653615675036948e-05,
      -0.00012223590775184033,
      -0.00018688021456239669,
      -0.00025048600037851353,
      -0.0003130700234270989,
      -0.0003746486690716724,
      -0.00043523805863360883,
      -0.0004948541381451226,
      -0.0005535126009734744,
      -0.000611228726864158,
      -0.000668017658275286,
      -0.0007238942179331076,
      -0.0007788731898636573,
      -0.0008329689446151726,
      -0.0008861956612528964,
      -0.0009385672811926444,
      -0.0009900976266672603,
      -0.0010408001430476622,
      -0.0010906881618066439,
      -0.0011397747681387272,
      -0.0011880728779417734,
      -0.0012355951358528096,
      -0.0012823540793976144,
      -0.001328361819079888,
      -0.0013736304742785709,
      -0.0014181718898153971,
      -0.0014619976825264122,
      -0.0015051194585935295,
      -0.0015475484328781094,
      -0.0015892958102362508,
      -0.0016303725239759015,
      -0.001670789380831489,
      -0.0017105569567873683,
      -0.0017496856641750337,
      -0.001788185741727854,
      -0.0018260673773541835,
      -0.001863340519208808,
      -0.0019000148701711962,
      -0.001936100078726011,
      -0.001971605528631419,
      -0.0020065406429443165,
      -0.0020409145392623375,
      -0.0020747362757605656,
      -0.0021080146828705805,
      -0.00214075846798493,
      -0.0021729763197742124,
      -0.0022046766113653317,
      -0.0022358675604609627,
      -0.002266557376112288,
      -0.0022967541828194525,
      -0.0023264659379631184,
      -0.002355700342120299,
      -0.002384465091967373
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334720047555784,
      10.093508000037415,
      9.845960440119443,
      9.594901004726777,
      9.342812965800567,
      9.091840057350566,
      8.843762838086274,
      8.599993991953822,
      8.361579002298198,
      8.129208376563929,
      7.90325302623465,
      7.683810184927311,
      7.47075510293272,
      7.263794133982637,
      7.062515621752164,
      6.866436133521965,
      6.675041178033791,
      6.487817861873723,
      6.304280937784126,
      6.123992333822526,
      5.946571779516646,
      5.77169514571703,
      5.599104200674187,
      5.428625981113953,
      5.260167847049965,
      5.093703941370682,
      4.929281059245744,
      4.767031817256529,
      4.607195082082282,
      4.4500780970153615,
      4.296014960014456,
      4.145366237749631,
      3.998516560849185,
      3.85585481465825,
      3.7177493942571247,
      3.5845345789608274,
      3.4565006731965324,
      3.3338869314416426,
      3.21687699729648,
      3.1055968256203914,
      3.00010275670664,
      2.9003788720015837,
      2.8063335751761476,
      2.7177922966461683,
      2.6345229675153536,
      2.5562777860897326,
      2.4828018226414583,
      2.413832769378244,
      2.34910197633382,
      2.288326829011406,
      2.231192506613216,
      2.1773190326589686,
      2.1263565577692134,
      2.0779710690662987,
      2.0318473456705375,
      1.987706809347476,
      1.945326243547977,
      1.9045189568871417,
      1.8651323345692494,
      1.8270452654999134,
      1.7901522121151994,
      1.7543599217815107,
      1.7195921402421661,
      1.6857858086605677,
      1.652887481880185,
      1.6208508364009289,
      1.5896349285543283,
      1.5592029702970305,
      1.5295214627297786,
      1.5005596170441815,
      1.4722897372383186,
      1.4446883558772432,
      1.41773374216898,
      1.3914049631915466,
      1.365682629319494,
      1.3405478888205868,
      1.3159821444328306,
      1.2919672508125495,
      1.2684856266016182,
      1.2455203147432716,
      1.223055007425601,
      1.201074049826769,
      1.1795624301451801,
      1.1585057614859342,
      1.1378906084889537,
      1.1177051221541838,
      1.0979379296654839,
      1.078578239576516,
      1.0596153127794532,
      1.041038482295433,
      1.0228372732907614,
      1.0050014759541437,
      0.9875211838021435,
      0.9703868130812141,
      0.9535891094318834,
      0.93711914601756,
      0.9209683170365542,
      0.9051286651445626,
      0.8895927801409801,
      0.8743533430577678,
      0.8594031625305805,
      0.8447352155376887,
      0.830342668988847,
      0.8162188911256284,
      0.8023574545923258,
      0.7887521351501625,
      0.775396908004108,
      0.7622859419688648,
      0.749413593136335,
      0.7367743982508126,
      0.7243630677343292,
      0.7121744786258339,
      0.7002036680013268,
      0.6884458259312728,
      0.6768962899784798,
      0.6655505386846042,
      0.6544041857333913,
      0.6434529747717693,
      0.6326927739767534,
      0.6221195714105532,
      0.6117294437429326,
      0.6015185282177276,
      0.5914830877522642,
      0.5816195107613736,
      0.5719242985780075,
      0.5623940565473442,
      0.553025486725314,
      0.5438153829130705,
      0.5347606251244856,
      0.5258581758224273,
      0.5171050771313298,
      0.508498472472659,
      0.5000362518393217,
      0.49171662834320884,
      0.4835374964827304,
      0.4754965737403723,
      0.46759148732031525,
      0.4598198284015396,
      0.45217918657394474,
      0.44466717051927607,
      0.4372814210570847,
      0.43001961829675095,
      0.42287948604291625,
      0.4158587939194795,
      0.40895535792207993,
      0.4021672606265341,
      0.39549277475035216,
      0.3889300815925499,
      0.3824773090455419,
      0.37613256667869005,
      0.3698939671749475,
      0.36375963972724057,
      0.357727738302368,
      0.3517964462246259,
      0.34596401207344024,
      0.3402288468722113,
      0.3345893756799068,
      0.3290439982987213,
      0.3235911107766077,
      0.31822911862149544,
      0.3129564451169609,
      0.30777153565406,
      0.30267288051309127,
      0.2976590167648569,
      0.29272849600216755,
      0.2878798859163123,
      0.28311177460032755,
      0.27842277269372556,
      0.27381139573813146,
      0.26927603168720526,
      0.26481517308295716,
      0.26042741571922184,
      0.25611142986959573,
      0.25186594153038616,
      0.24768972045843268,
      0.2435815721890969,
      0.2395403963519808,
      0.2355654744485901,
      0.2316561267409005,
      0.22781152154324502,
      0.22403073723271572,
      0.2203128011482448,
      0.2166567147551253,
      0.21306146978855173,
      0.2095260582893893,
      0.20604947878514251,
      0.20263074077888152,
      0.19926886692884405,
      0.1959628330486289,
      0.19271157402636682,
      0.1895140797181887,
      0.18636938858980778,
      0.18327657609852957,
      0.1802347468530172,
      0.1772430295567291,
      0.17430057376875757,
      0.17140654740250588,
      0.16856013529754352,
      0.1657605379500181,
      0.16300697083746424,
      0.16029866384612626,
      0.15763486069167468,
      0.15501481854206275,
      0.15243780763754697,
      0.14990311088300823,
      0.14741002385595495,
      0.14495785439182357,
      0.14254592208925887,
      0.14017355843972876,
      0.13784010639370547,
      0.13554492022710443,
      0.13328736522420132,
      0.13106681774983234,
      0.12888266460367173,
      0.12673430323948767,
      0.12462114135509962,
      0.12254259659682724,
      0.12049809659954483,
      0.1184870786765949,
      0.11650898974360416,
      0.11456328611999894,
      0.11264943321445446,
      0.1107669055128175,
      0.10891518643032022,
      0.10709376802107287,
      0.10530215089403797,
      0.10353984411258306,
      0.10180636488666124,
      0.10010120960425875,
      0.09842380669847699,
      0.09677361487912645,
      0.09515013328671887,
      0.09355288982927112,
      0.0919814337046737,
      0.09043533043872191,
      0.08891415821076626,
      0.08741750612768852,
      0.08594497247041055,
      0.08449616380388562,
      0.08307069406241452,
      0.08166818431025971,
      0.08028826224119578,
      0.07893056197244992,
      0.07759472377518888,
      0.07628039396431267,
      0.07498722476808599,
      0.07371487404460689,
      0.07246300533626011,
      0.07123128766797916,
      0.07001939556596938,
      0.06882700893068415,
      0.06765381268177711,
      0.06649949696798525,
      0.06536375705599588,
      0.06424629311082333,
      0.06314681030593888,
      0.06206501850651848,
      0.06100063224039319,
      0.05995337076565735,
      0.058922957907775485,
      0.057909121837545534,
      0.05691159529089686,
      0.055930115335372246,
      0.054964423254484564,
      0.054014264578223566,
      0.05307938898636172,
      0.052159550195399224,
      0.05125450587351967,
      0.050364017516303476,
      0.04948785074078495,
      0.04862577476809896,
      0.04777756266401725,
      0.046942991145601944,
      0.04612184043969846,
      0.04531389432350961,
      0.04451894018158031,
      0.04373676885416403,
      0.04296717454288563,
      0.042209954583193834,
      0.04146490982676213,
      0.040731844340296065,
      0.04001056532071359,
      0.039300882996597196,
      0.03860261077662737,
      0.037915565034731674,
      0.037239564929222396,
      0.03657443271892708,
      0.03591999352192017,
      0.035276075339948615,
      0.0346425088963758,
      0.034019127618599286,
      0.03340576766220018,
      0.03280226772970348,
      0.032208469153448674,
      0.03162421595050079,
      0.031049354512333142,
      0.030483733813160115,
      0.02992720520142691,
      0.029379622436130366,
      0.028840841630829003,
      0.028310721206341215,
      0.02778912188455048,
      0.027275906627428667,
      0.026770940533772384,
      0.026274090973188266,
      0.02578522737928351,
      0.025304221349400288,
      0.02483094651778969,
      0.024365278557415132,
      0.02390709513225673,
      0.023456275940379762,
      0.023012702516480597,
      0.02257625832166842,
      0.02214682882168995,
      0.021724301181567988,
      0.021308564394797152,
      0.020899509440289246,
      0.020497028764601986,
      0.020101016719776713,
      0.0197113692828711,
      0.019327984164031555,
      0.01895076061546563,
      0.01857959962203824,
      0.018214403799606798,
      0.01785507711521658,
      0.017501525274349755,
      0.017153655471841438,
      0.016811376467509603,
      0.016474598215551264,
      0.016143232364200538,
      0.015817191845688666,
      0.015496391126663109,
      0.015180746038137146,
      0.01487017366821269,
      0.014564592488647044,
      0.01426392214979218,
      0.013968083833396441,
      0.013676999867174808,
      0.013390593789238679,
      0.013108790474397029,
      0.012831515871478632,
      0.012558697240890522,
      0.012290262964539353,
      0.01202614255777544,
      0.011766266640937887,
      0.011510567023503782,
      0.011258976582815364,
      0.011011429331731623,
      0.0107678602040614,
      0.010528205308399758,
      0.01029240176656339,
      0.010060387606808057,
      0.009832101959597429,
      0.00960748492043098,
      0.009386477531351954,
      0.00916902170858002,
      0.008955060440793897,
      0.00874453755900313,
      0.008537397827897673,
      0.008333586856472478,
      0.00813305123436524,
      0.007935738258553914,
      0.0077415960319474056,
      0.007550573628839242,
      0.007362620894855538,
      0.0071776885619690735,
      0.006995728093135215,
      0.006816691714648306,
      0.006640532514918584,
      0.006467204228367559,
      0.006296661263923117,
      0.00612885880597606,
      0.005963752905653195,
      0.005801300193759824,
      0.005641458105134568,
      0.005484184647665702,
      0.005329438581283091,
      0.005177179217645545,
      0.00502736659156296,
      0.00487996136109011,
      0.004734924933119121,
      0.00459221930552821,
      0.004451806949816007,
      0.004313651007299373,
      0.004177715227151191,
      0.004043963919457044,
      0.003912361923352003,
      0.0037828747170902633,
      0.0036554682951494373,
      0.003530109251122381,
      0.0034067646974332935,
      0.00328540225706071,
      0.0031659901019262353,
      0.003048496923373985,
      0.002932891841154345,
      0.0028191444031950025,
      0.0027072248852208175,
      0.002597103945469448,
      0.0024887525476928966,
      0.0023821423815133915,
      0.002277245395119965,
      0.0021740340667725385,
      0.0020724813221602418,
      0.0019725604853317344,
      0.0018742453394609013,
      0.0017775100685031423,
      0.0016823293210774665,
      0.0015886781110703132,
      0.0014965317704646562,
      0.0014058662212668826,
      0.0013166577029595616,
      0.0012288826856020456,
      0.0011425181973773926,
      0.0010575416261661627,
      0.000973930643513667,
      0.0008916632569397028,
      0.0008107178317089851,
      0.000731073164932741,
      0.0006527084086232776,
      0.0005756030071025511,
      0.0004997366544171567,
      0.0004250893162596814,
      0.00035164149492794994,
      0.0002793739873044602,
      0.00020826779696891246,
      0.00013830422477289074,
      6.946491635303737e-05,
      1.7317900657874789e-06,
      -6.491286205514525e-05,
      -0.00013048657776166552,
      -0.00019500651967181915,
      -0.00025848963805634944,
      -0.00032095257210207546,
      -0.0003824116834417353,
      -0.000442883113863449,
      -0.0005023827279889144,
      -0.0005609262326686281,
      -0.0006185290034641837,
      -0.0006752061129625436,
      -0.0007309724984160315,
      -0.0007858427655937846,
      -0.0008398312718004711,
      -0.0008929522203586927,
      -0.0009452195699726774,
      -0.0009966470706483526,
      -0.001047248081974889,
      -0.0010970359122640546,
      -0.001146023571557138,
      -0.0011942239816513291,
      -0.0012416498425067534,
      -0.0012883135675546863,
      -0.0013342274597551336,
      -0.001379403556243472,
      -0.0014238535864744366,
      -0.001467589400062046,
      -0.0015106224216050374,
      -0.0015529639692721065,
      -0.00159462513995457,
      -0.001635616751274588,
      -0.0016759495428871533,
      -0.0017156342505878369,
      -0.00175468127947953,
      -0.0017931008274279087,
      -0.0018309030016117648,
      -0.0018680976735181243,
      -0.0019046946070395612,
      -0.0019407035092290185,
      -0.0019761337568069987,
      -0.0020109946556980496,
      -0.002045295312216202,
      -0.0020790446940375795,
      -0.0021122518055563594,
      -0.0021449253159877106,
      -0.002177073752530119,
      -0.002208705565682472,
      -0.0022398291177852954,
      -0.0022704525250461976,
      -0.0023005838802831486,
      -0.00233023103649259,
      -0.0023594017269071145,
      -0.0023881036207321167
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334716258342148,
      10.093495081501125,
      9.845932401211082,
      9.594853157151515,
      9.342742052371934,
      9.091743914557924,
      8.843640191440041,
      8.599844361485992,
      8.361402362590836,
      8.129004958718502,
      7.903023194626263,
      7.683554349678052,
      7.470473662254778,
      7.263487446569933,
      7.062184000301528,
      6.86607984679873,
      6.674660468475994,
      6.487413005699784,
      6.303852283255581,
      6.123540366167534,
      5.946097215257316,
      5.771198954073769,
      5.598587625621679,
      5.428090538688467,
      5.25961528919645,
      5.09313611647062,
      4.928700011084463,
      4.766440165240762,
      4.606596256202302,
      4.449475580886692,
      4.295412218887032,
      4.1447667381000635,
      3.9979238671964037,
      3.8552723811298675,
      3.717180413461494,
      3.583981932298596,
      3.455966887548364,
      3.333374147680488,
      3.216386952082816,
      3.105130845896262,
      2.999661606447532,
      2.8999627765955305,
      2.8059421200474706,
      2.7174245026468857,
      2.634177303156859,
      2.5559525905978235,
      2.482495275467866,
      2.413542964024608,
      2.3488270393169812,
      2.288064795596422,
      2.2309410997095145,
      2.177075837769894,
      2.126119415155564,
      2.077738033870361,
      2.03161663784397,
      1.9874770510788078,
      1.945096416664111,
      1.904288311235298,
      1.864900228327722,
      1.8268111954656017,
      1.7899157400973793,
      1.754120723589618,
      1.7193500137202644,
      1.6855406368245391,
      1.652639206840636,
      1.6205994407726445,
      1.5893804223538637,
      1.558945382536094,
      1.529260835478556,
      1.5002960106175551,
      1.472023311920997,
      1.444419381105522,
      1.417462648400707,
      1.3911321535856942,
      1.365408395462292,
      1.3402724350802282,
      1.3157056179725708,
      1.291689761074511,
      1.2682072586316253,
      1.2452411373215788,
      1.2227750786480525,
      1.2007934204409685,
      1.1792811462188701,
      1.1582238662552005,
      1.1376081624131174,
      1.1174221852490682,
      1.0976545633238481,
      1.0782945004534217,
      1.0593312493155769,
      1.0407541378358414,
      1.022552688578932,
      1.0047166884605094,
      0.9872362295325131,
      0.9701017268473852,
      0.9533039250106786,
      0.9368338965022137,
      0.9206830747490741,
      0.9048436101065351,
      0.8893080588422232,
      0.8740690575354737,
      0.8591193859861355,
      0.8444520020293942,
      0.8300600606799001,
      0.81593692218561,
      0.8020761540512784,
      0.7884715285082372,
      0.775117018287086,
      0.7620067908165616,
      0.7491352012419725,
      0.736496785608628,
      0.7240862536458017,
      0.7118984819747336,
      0.6999285070332322,
      0.6881715189386353,
      0.6766228546274919,
      0.6652779920434572,
      0.6541325446971727,
      0.6431822559184758,
      0.6324229934897385,
      0.6218507450175567,
      0.6114615863398571,
      0.601251654245582,
      0.5912172114882901,
      0.5813546463225258,
      0.5716604599675439,
      0.5621312574903418,
      0.5527637407258948,
      0.5435547028458525,
      0.5345010237335962,
      0.5255996657046959,
      0.5168476703318291,
      0.5082422239160045,
      0.4997812744091324,
      0.49146299467944793,
      0.4832852540692728,
      0.4752457540130614,
      0.4673421112554626,
      0.45957191018129473,
      0.45193273605252476,
      0.44442219480454076,
      0.4370379252120836,
      0.429777606004207,
      0.42263896003092855,
      0.4156197561242692,
      0.40871780994930906,
      0.4019312272572017,
      0.3952582810909535,
      0.388697142901669,
      0.3822459341783325,
      0.3759027603347956,
      0.3696657313642139,
      0.3635329747131543,
      0.3575026431800569,
      0.3515729193250478,
      0.34574205629563043,
      0.34000847158798764,
      0.3343705850275626,
      0.3288267930964928,
      0.3233754897963419,
      0.31801507924111827,
      0.31274398355783734,
      0.3075606476824602,
      0.30246356314217737,
      0.29745126675294076,
      0.29252230907345317,
      0.28767525714547654,
      0.2829086984359609,
      0.2782212433593574,
      0.2736114116881424,
      0.2690775914892235,
      0.2646182734505969,
      0.26023205210425354,
      0.2559175968440513,
      0.25167363331667525,
      0.24749893092192243,
      0.24339229482788788,
      0.23935262097783874,
      0.23537918585749223,
      0.23147131243882646,
      0.22762817078903422,
      0.22384884044362588,
      0.22013234935964945,
      0.21647769928450658,
      0.2128838822305211,
      0.20934989030666,
      0.2058747221789397,
      0.2024573872914704,
      0.19909690832474464,
      0.19579225697142905,
      0.19254236791747598,
      0.18934623250604804,
      0.18620289023522787,
      0.18311141720618576,
      0.18007091836134598,
      0.17708052272099623,
      0.1741393799089783,
      0.17124665796922225,
      0.16840154173361366,
      0.16560323165367405,
      0.16285094327072455,
      0.16014390648406546,
      0.15748136488833855,
      0.1548625756115636,
      0.15228680890277868,
      0.14975334783193972,
      0.1472614878400085,
      0.14481053657800214,
      0.14239981360175552,
      0.14002865045006835,
      0.13769639008957962,
      0.13540238681300326,
      0.1331460059469627,
      0.1309266236822255,
      0.12874362698695235,
      0.12659641315808653,
      0.12448438981781246,
      0.12240697476969747,
      0.12036359564495133,
      0.11835368973178313,
      0.11637670393073045,
      0.11443209452394298,
      0.11251932700672974,
      0.11063787590372916,
      0.10878722453841817,
      0.1069668649772587,
      0.10517629780545512,
      0.1034150321153337,
      0.10168258522415098,
      0.09997848261659094,
      0.09830223901878783,
      0.09665330030395573,
      0.0950311277937139,
      0.09343522488401555,
      0.09186512487172055,
      0.0903203826800622,
      0.08880056983303362,
      0.08730527104940951,
      0.08583408176307494,
      0.084386606620544,
      0.08296245854291609,
      0.0815612579002838,
      0.08018263191316066,
      0.07882621454283364,
      0.07749164597655685,
      0.07617857234179994,
      0.07488664582315249,
      0.0736155243562624,
      0.07236487168233059,
      0.07113435691820712,
      0.06992365459134563,
      0.06873244463661059,
      0.06756041219390908,
      0.06640724755187367,
      0.06527264597022335,
      0.06415630786084824,
      0.06305793843767174,
      0.061977247648040745,
      0.06091395027744952,
      0.05986776570017294,
      0.058838417716815306,
      0.05782563471663034,
      0.05682914946908212,
      0.055848699125571256,
      0.05488402515523891,
      0.05393487314036556,
      0.053000992886778196,
      0.05208213813006131,
      0.05117806665087154,
      0.05028854017955959,
      0.049413324338106086,
      0.048552188523641716,
      0.047704905790015635,
      0.04687125294072946,
      0.04605101036547271,
      0.04524396198263672,
      0.04444989534470686,
      0.04366860130559467,
      0.04289987414000624,
      0.04214351148751609,
      0.0413993141475442,
      0.04066708630006222,
      0.03994663520458476,
      0.03923777119728799,
      0.03854030769341017,
      0.03785406115728506,
      0.037178850934213276,
      0.0365144993988565,
      0.03586083179382246,
      0.03521767614653516,
      0.03458486327907425,
      0.03396222660613429,
      0.03334960243941941,
      0.03274682967312575,
      0.0321537497406247,
      0.031570206656669646,
      0.030996046898228716,
      0.030431119593822328,
      0.029875276099401268,
      0.02932837021929833,
      0.028790258213622345,
      0.02826079864396865,
      0.027739852201854473,
      0.027227281959621836,
      0.02672295308293432,
      0.026226733136983565,
      0.02573849162562934,
      0.02525810013001287,
      0.02478543242947603,
      0.024320364300401826,
      0.023862773545426253,
      0.02341253984581075,
      0.022969544907785834,
      0.022533672292112988,
      0.02210480735270655,
      0.02168283736977404,
      0.021267651488520282,
      0.0208591406350236,
      0.020457197322882575,
      0.02006171612288944,
      0.019672593065340683,
      0.01928972588822212,
      0.01891301398628584,
      0.018542358373436908,
      0.018177661663647874,
      0.017818828032911366,
      0.017465763130063518,
      0.01711837427314874,
      0.016776570213322843,
      0.01644026112087287,
      0.0161093586147608,
      0.015783775708870726,
      0.015463426846105726,
      0.015148227938609891,
      0.01483809614601903,
      0.014532950040496925,
      0.014232709535834812,
      0.013937295604893032,
      0.013646630727021793,
      0.013360638481970529,
      0.013079243816672616,
      0.01280237277604396,
      0.01252995272217026,
      0.012261912030118645,
      0.011998180188734187,
      0.011738687950383771,
      0.011483367186409799,
      0.011232150836193265,
      0.010984972879609567,
      0.010741768351491602,
      0.010502473519257729,
      0.01026702544217547,
      0.010035362239660681,
      0.009807423134732105,
      0.009583148247340622,
      0.009362478696783536,
      0.009145356465813891,
      0.00893172454851238,
      0.00872152681561358,
      0.008514708010483235,
      0.008311213824941256,
      0.008110990902588487,
      0.007913986680206304,
      0.007720149264096905,
      0.0075294277736210795,
      0.007341772154279419,
      0.007157133102129381,
      0.006975462073635452,
      0.00679671148356929,
      0.006620834320804844,
      0.00644778440921739,
      0.006277516334593851,
      0.0061099853999118,
      0.005945147538960841,
      0.005782959480596002,
      0.0056233784712109,
      0.0054663626921038185,
      0.005311870947777873,
      0.005159862645058851,
      0.00501029791380738,
      0.004863137456506254,
      0.004718342629582631,
      0.004575875291618604,
      0.004435698143510034,
      0.004297774372146446,
      0.004162067715861145,
      0.004028542493689077,
      0.00389716370711755,
      0.00376789681997372,
      0.003640707890303258,
      0.0035155635194811844,
      0.0033924307912524365,
      0.003271277396889757,
      0.003152071546546192,
      0.0030347818954234384,
      0.0029193776878750073,
      0.002805828623983063,
      0.002694104829450922,
      0.0025841769548856103,
      0.0024760161367913523,
      0.002369594017844031,
      0.0022648826420721764,
      0.002161854503867798,
      0.002060482472044637,
      0.0019607399695246537,
      0.001862600779943587,
      0.0017660391991486035,
      0.0016710298325177386,
      0.0015775477051503247,
      0.0014855683420712134,
      0.0013950675130097608,
      0.0013060214171288001,
      0.001218406774141952,
      0.0011322004912894608,
      0.0010473799350850556,
      0.0009639228934043372,
      0.0008818074501404618,
      0.0008010119054514212,
      0.0007215150724066235,
      0.0006432962064763478,
      0.0005663346694273872,
      0.0004906103193620466,
      0.00041610325964080915,
      0.00034279397713191996,
      0.00027066314476388624,
      0.00019969181283769081,
      0.00012986130916644317,
      6.115329294833627e-05,
      -6.450279017486857e-06,
      -7.296714699968721e-05,
      -0.0001384148367887627,
      -0.0002028105059115712,
      -0.00026617103031403166,
      -0.0003285129813667229,
      -0.0003898527863578319,
      -0.00045020655127897243,
      -0.0005095901876421675,
      -0.0005680193541293616,
      -0.0006255093081110917,
      -0.0006820750419522454,
      -0.0007377314499293704,
      -0.0007924931005029304,
      -0.0008463744843204623,
      -0.0008993896639934592,
      -0.0009515526282480181,
      -0.0010028771497915356,
      -0.001053376705733148,
      -0.001103064428585288,
      -0.0011519534187662606,
      -0.0012000564905706346,
      -0.001247386343482066,
      -0.0012939553321406128,
      -0.0013397756801169006,
      -0.0013848594325215672,
      -0.0014292185352580591,
      -0.0014728646463600368,
      -0.0015158091499531392,
      -0.0015580633791994294,
      -0.001599638368106945,
      -0.0016405449966021635,
      -0.0016807939379257346,
      -0.001720395916742105,
      -0.0017593613631931761,
      -0.0017977004475382247,
      -0.001835423221796273,
      -0.0018725396719710145,
      -0.00190905950287756,
      -0.001944992239744391,
      -0.0019803473865034156,
      -0.002015134234087132,
      -0.0020493618333908897,
      -0.0020830392088486602,
      -0.002116175209292514,
      -0.002148778606504567,
      -0.0021808579832087458,
      -0.002212421747662179,
      -0.002243478090593076,
      -0.002274035207812105,
      -0.0023041011099904913,
      -0.0023336836349685712,
      -0.0023627905547948724,
      -0.0023914295745340493
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334712415443926,
      10.093482093300809,
      9.84590457343532,
      9.594805780539934,
      9.342671851748879,
      9.091648708727902,
      8.84351868861434,
      8.599696066559176,
      8.361227234814299,
      8.12880321540705,
      7.902795190715574,
      7.68330048559748,
      7.470194328717866,
      7.263182995467611,
      7.0618547384539445,
      6.865726037776493,
      6.674282349828695,
      6.487010849581289,
      6.3034264346678555,
      6.123091307926338,
      5.945625643870165,
      5.770705821239057,
      5.598074177675004,
      5.427558293564766,
      5.259065997310826,
      5.0925716251194055,
      4.928122361110924,
      4.765851970318504,
      4.606000937219257,
      4.448876611729977,
      4.294813053914182,
      4.144170830459414,
      3.9973347680082183,
      3.8546935298262484,
      3.716614988846326,
      3.5834328029486504,
      3.4554365680011707,
      3.3328647672602,
      3.2159002374065286,
      3.104668115134051,
      2.9992236150932268,
      2.8995497438257978,
      2.80555362663787,
      2.7170595570227887,
      2.63383433705782,
      2.555629952883534,
      2.482191155329917,
      2.4132554633307346,
      2.3485542931997583,
      2.2878048471230907,
      2.2306916820040974,
      2.1768345478228026,
      2.1258841042277288,
      2.0775067284718047,
      2.0313875794103184,
      1.987248879735571,
      1.9448681269629025,
      1.9040591627291372,
      1.8646695858730968,
      1.8265785606038818,
      1.789680678674852,
      1.7538829144745647,
      1.7191092574589844,
      1.6852968179531889,
      1.6523922683066044,
      1.620349365437048,
      1.5891272210507117,
      1.5586890849966173,
      1.5290014839801986,
      1.5000336661295754,
      1.4717581359247558,
      1.4441516436004673,
      1.417192780379359,
      1.390860558606652,
      1.3651353648632278,
      1.3399981732430437,
      1.3154302721280788,
      1.2914134407814024,
      1.267930048537164,
      1.2449631060500488,
      1.222496284427604,
      1.20051391433375,
      1.1790009744802739,
      1.1579430719745394,
      1.1373268060729884,
      1.117140327614242,
      1.0973722671064783,
      1.0780118224672812,
      1.0590482384719977,
      1.0404708374969607,
      1.0222691383363431,
      1.0044329262569422,
      0.9869522916360572,
      0.969817648018759,
      0.9530197390657951,
      0.9365496366614506,
      0.920398841674312,
      0.9045595960884343,
      0.8890243944329737,
      0.8737858345224819,
      0.8588366708979611,
      0.8441698449970478,
      0.829778501247476,
      0.8156559931018935,
      0.8017958833552918,
      0.7881919412354297,
      0.7748381376482959,
      0.761728638548193,
      0.7488577982717921,
      0.7362201521753062,
      0.7238104093298138,
      0.7116234455396044,
      0.6996542967634231,
      0.6878981528645292,
      0.6763503504351142,
      0.6650063671781993,
      0.6538618161266813,
      0.6429124401398032,
      0.6321541068323377,
      0.6215828035046917,
      0.6111946044221417,
      0.6009856463200346,
      0.5909521921882932,
      0.58109062985974,
      0.5713974602285024,
      0.561869288278206,
      0.5525028156382036,
      0.5432948349673513,
      0.5342422257279317,
      0.5253419500769012,
      0.5165910490984551,
      0.5079867522138904,
      0.4995270650657764,
      0.4912101204167872,
      0.4830337624637109,
      0.4749956763739312,
      0.467093468543381,
      0.4593247167235173,
      0.4516870017549891,
      0.4441779264782545,
      0.4367951278585982,
      0.42953628340260236,
      0.42239911513778966,
      0.4153813911099297,
      0.408480935712388,
      0.4016958728008551,
      0.3950244664606433,
      0.3884648801107362,
      0.3820152300811139,
      0.3756736183324344,
      0.3694381527380658,
      0.3633069591584747,
      0.35727818927909916,
      0.3513500250134359,
      0.3455207264575982,
      0.33978871445715186,
      0.3341524042316198,
      0.32861018918603707,
      0.32316046127527376,
      0.31780162331943546,
      0.31253209657921055,
      0.3073503252660202,
      0.30225480241807023,
      0.29724406465711,
      0.2923166612888508,
      0.2874711587787883,
      0.28270614419414725,
      0.2780202275818069,
      0.27341193293032334,
      0.2688796482781177,
      0.2644218626093821,
      0.2600371692811944,
      0.25572423687008045,
      0.25148179025260325,
      0.24730859850836942,
      0.24320346666492368,
      0.23916528686293997,
      0.2351933302650254,
      0.23128692284236227,
      0.22744523658943955,
      0.2236673520188105,
      0.21995229766358917,
      0.2162990758928433,
      0.2127066789163794,
      0.20917409879436255,
      0.2057003342525518,
      0.20228439472437812,
      0.19892530298635522,
      0.19562202641704046,
      0.19237349948486862,
      0.18917871522019886,
      0.18603671418837536,
      0.18294657305590858,
      0.17990739722389118,
      0.17691831590026025,
      0.17397847887393184,
      0.17108705416543663,
      0.1682432265659763,
      0.16544619676083913,
      0.1626951801765823,
      0.15998940670595213,
      0.15732811982847875,
      0.1547105767847673,
      0.1521360476868868,
      0.14960381561808475,
      0.14711317580048405,
      0.14466343603101367,
      0.14225391596889594,
      0.1398839470423546,
      0.13755287216621004,
      0.13526004558180968,
      0.13300483265371324,
      0.13078660957869714,
      0.12860476313323324,
      0.1264586907203854,
      0.12434779999039838,
      0.12227150872887216,
      0.12022924454698952,
      0.11822044472333056,
      0.11624455620976532,
      0.11430103522898248,
      0.11238934728972069,
      0.11050896686310799,
      0.1086593773870047,
      0.1068400709558325,
      0.1050505482808857,
      0.10329031834186114,
      0.101558898402838,
      0.09985581399229362,
      0.09818059852324251,
      0.09653278368923729,
      0.09491183693462887,
      0.09331722115522532,
      0.09174844321603659,
      0.09020504082414518,
      0.08868657431951578,
      0.08719262112001452,
      0.08572277202376147,
      0.08427662867080501,
      0.0828538019923285,
      0.08145391099857002,
      0.0800765822099087,
      0.0787214489686592,
      0.07738815129395553,
      0.07607633533099263,
      0.07478565326478037,
      0.07351576295623792,
      0.07226632814939203,
      0.07103701810788614,
      0.06982750749146724,
      0.06863747623251848,
      0.06746660948919034,
      0.06631459770369777,
      0.06518113632024125,
      0.06406592582993725,
      0.06296867162769744,
      0.061889083657936404,
      0.060826876815189494,
      0.05978177055491602,
      0.0587534887981578,
      0.05774176007209787,
      0.05674631720983029,
      0.05576689753371074,
      0.0548032426292737,
      0.05385509818257837,
      0.052922214040152855,
      0.05200434404552984,
      0.051101246151813676,
      0.050212682253946275,
      0.04933841803245573,
      0.04847822299933402,
      0.04763187028482323,
      0.0467991368640922,
      0.045979803159015176,
      0.04517365333080864,
      0.0443804749248571,
      0.04360005889771678,
      0.04283219954570449,
      0.042076694544674005,
      0.04133334493600301,
      0.04060195490903237,
      0.039882331869183336,
      0.039174286279819934,
      0.03847763164923658,
      0.03779218453583481,
      0.037117764450509926,
      0.03645419380832879,
      0.035801297951952714,
      0.0351589049796729,
      0.0345268457298809,
      0.033904953954713955,
      0.03329306590038417,
      0.03269102045701654,
      0.03209865915303792,
      0.03151582614723453,
      0.030942368046409457,
      0.030378134012420434,
      0.029822975548177148,
      0.029276746655501208,
      0.02873930358269703,
      0.02821050488612494,
      0.027690211341626365,
      0.02717828616366619,
      0.026674594782281243,
      0.02617900462203207,
      0.025691385257985113,
      0.02521160845242753,
      0.024739547996820547,
      0.024275079758719287,
      0.0238180815076149,
      0.023368433066514736,
      0.022926016159639864,
      0.022490714490154905,
      0.022062413640981993,
      0.021641001031171166,
      0.02122636575936311,
      0.020818398812341522,
      0.0204169928143353,
      0.020022042255493224,
      0.01963344337130384,
      0.01925109393955196,
      0.01887489340154863,
      0.018504742913558775,
      0.01814054505481793,
      0.017782204062904507,
      0.017429625776495115,
      0.01708271745091032,
      0.016741387979865182,
      0.0164055475765788,
      0.01607510800057268,
      0.015749982313669808,
      0.015430085022822082,
      0.01511533201828006,
      0.014805640714621992,
      0.014500929663422346,
      0.014201118647320638,
      0.013906128836206375,
      0.01361588279620952,
      0.013330304255949315,
      0.013049318074690543,
      0.012772850418485155,
      0.012500828565825836,
      0.012233180991617161,
      0.011969837353563845,
      0.011710728464550698,
      0.011455786212027511,
      0.011204943608840697,
      0.010958134651454308,
      0.010715294550793132,
      0.010476359414342402,
      0.010241266466456627,
      0.010009953973685457,
      0.00978236116162775,
      0.009558428230945878,
      0.009338096218253076,
      0.00912130720359889,
      0.00890800422310186,
      0.008698131191822759,
      0.008491633040045379,
      0.008288455414277696,
      0.008088545017483668,
      0.007891849279120452,
      0.007698316314244726,
      0.007507895362376785,
      0.007320536422759251,
      0.007136190242689807,
      0.006954808480710974,
      0.006776343421188834,
      0.006600748117911352,
      0.006427976528043541,
      0.0062579831530673626,
      0.006090723254693797,
      0.005926152952960864,
      0.005764228952040962,
      0.005604908733404035,
      0.005448150401678868,
      0.005293912722538747,
      0.005142155196902709,
      0.004992837914836346,
      0.004845921729752016,
      0.004701368002894391,
      0.004559138661490425,
      0.004419196399346778,
      0.004281504377582818,
      0.004146026404609585,
      0.004012726914854053,
      0.0038815708481952176,
      0.0037525236841329,
      0.003625551662647823,
      0.003500621473280644,
      0.003377700232705041,
      0.003256755629208838,
      0.0031377557830201074,
      0.0030206693821076304,
      0.002905465730785111,
      0.0027921145658499798,
      0.0026805861156835665,
      0.002570851040824435,
      0.002462880522280129,
      0.0023566461292510656,
      0.0022521199683840777,
      0.0021492745806073713,
      0.0020480829861285275,
      0.0019485185337607498,
      0.0018505550318903296,
      0.0017541668235734858,
      0.001659328590548729,
      0.0015660153810148375,
      0.0014742026706442205,
      0.0013838662473545493,
      0.001294982415130404,
      0.0012075277800434909,
      0.001121479425818458,
      0.0010368147347104995,
      0.0009535114895819769,
      0.0008715477292069139,
      0.0007909019422227741,
      0.0007115529062185663,
      0.0006334798080571812,
      0.0005566621302294054,
      0.0004810797612686471,
      0.0004067126493550219,
      0.00033354130931513776,
      0.00026154663121771935,
      0.0001907095827981625,
      0.00012101158654807672,
      5.243433208349771e-05,
      -1.504020021602409e-05,
      -8.142975286758422e-05,
      -0.00014675180981166443,
      -0.00021102350614466314,
      -0.0002742617017608498,
      -0.0003364830921025988,
      -0.000397703936473203,
      -0.00045794035081322444,
      -0.0005172081549076306,
      -0.00057552288353864,
      -0.0006328998282362764,
      -0.0006893540973992448,
      -0.0007449005421119194,
      -0.0007995538843520167,
      -0.0008533283930402355,
      -0.00090623830916978,
      -0.0009582974627350605,
      -0.0010095194350889386,
      -0.0010599177714401436,
      -0.001109505677563474,
      -0.0011582962118620928,
      -0.0012063021838191153,
      -0.00125353627423329,
      -0.0013000108879749092,
      -0.0013457381899483682,
      -0.0013907301016412607,
      -0.0014349985327210394,
      -0.0014785551796600849,
      -0.001521411380678041,
      -0.0015635785293990508,
      -0.0016050676613807895,
      -0.001645889593057844,
      -0.0016860551232178696,
      -0.001725574897127461,
      -0.0017644591302541025,
      -0.001802718106586288,
      -0.0018403618371507868,
      -0.0018774002902914393,
      -0.001913843208067987,
      -0.0019497000872679847,
      -0.0019849803502592412,
      -0.0020196933185032567,
      -0.0020538480135453693,
      -0.002087453466206889,
      -0.0021205185420798485,
      -0.0021530519188259585,
      -0.0021850621842001805,
      -0.0022165577551113503,
      -0.002247546866050268,
      -0.0022780376652114117,
      -0.00230803817643489,
      -0.0023375562543128843,
      -0.00236659965325781,
      -0.0023951760834365456
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334708431398933,
      10.093468827944054,
      9.845876460688274,
      9.594758093568236,
      9.342601298549884,
      9.091553094516883,
      8.843396712985687,
      8.599547223936689,
      8.361051477718375,
      8.128600756381537,
      7.902566378270469,
      7.6830457173027975,
      7.469913992569224,
      7.262877441542871,
      7.061524273352909,
      6.865370928279953,
      6.673902835905425,
      6.486607202444659,
      6.302999000244283,
      6.122640568663563,
      5.945152295404766,
      5.770210815766491,
      5.597558762127354,
      5.427023986525661,
      5.258514552992804,
      5.092004891629785,
      4.927542381478941,
      4.765261363860429,
      4.605403134124985,
      4.448275092886364,
      4.2942112840520394,
      4.1435722725288056,
      3.9967429835533035,
      3.8541119708826646,
      3.7160468444222565,
      3.5828809508377204,
      3.454903531465734,
      3.3323526838540194,
      3.2154108396614522,
      3.104202726181784,
      2.998782995622505,
      2.89913411710519,
      2.805162576748476,
      2.7166919444643005,
      2.633488623748298,
      2.555304512429468,
      2.481884195972122,
      2.412965102912754,
      2.3482786798131046,
      2.28754203276345,
      2.23043940715404,
      2.1765904154115643,
      2.1256459698042662,
      2.0772725847433366,
      2.0311556865629603,
      1.9870178906871112,
      1.9446370449486305,
      1.9038272536315646,
      1.864436218989917,
      1.8263432402195925,
      1.7894429721036251,
      1.7536425005405538,
      1.7188659359599527,
      1.685050472703204,
      1.6521428412711572,
      1.6200968393216173,
      1.5888716057497416,
      1.5584304088908314,
      1.5287397882122595,
      1.499769009951376,
      1.4714906789392668,
      1.4438816555619074,
      1.4169206919527186,
      1.390586773005442,
      1.364860172668702,
      1.3397217776819283,
      1.3151528192443094,
      1.2911350392818817,
      1.267650782256992,
      1.2446830428505384,
      1.2222154815268,
      1.2002324216973852,
      1.1787188377479012,
      1.157660333853628,
      1.1370435264475478,
      1.1168565658808227,
      1.0970880840991024,
      1.077727274548674,
      1.0587633741106277,
      1.0401856999817896,
      1.0219837673576817,
      1.0041473590672758,
      0.986666563181445,
      0.9695317925327567,
      0.9527337899237307,
      0.9362636262749411,
      0.9201129085652191,
      0.9042739175111881,
      0.8887390917176258,
      0.8735009931743195,
      0.8585523531768148,
      0.8438860987715798,
      0.8294953643288153,
      0.8153734966268582,
      0.8015140543790737,
      0.7879108041837594,
      0.7745577153198347,
      0.7614489522620609,
      0.7485788682548479,
      0.7359419978599875,
      0.7235330496135887,
      0.711346899134806,
      0.6993785820538304,
      0.6876232874708578,
      0.6760763519905924,
      0.6647332528479749,
      0.6535896028552038,
      0.6426411445830956,
      0.6318837452051241,
      0.6213133914175675,
      0.6109261563018098,
      0.6007181761408724,
      0.5906857141436705,
      0.5808251583652998,
      0.5711330095121361,
      0.5616058718599536,
      0.5522404467941252,
      0.5430335268547393,
      0.5339819908926908,
      0.5250828005383252,
      0.5163329968331405,
      0.5077298525101859,
      0.4992714308416589,
      0.4909558243233034,
      0.4827808519213735,
      0.4747441827063147,
      0.46684341261608203,
      0.45907611273624305,
      0.4514398594028133,
      0.4439322527615254,
      0.4365509277334276,
      0.4292935605464741,
      0.4221578721970073,
      0.41514163024418993,
      0.40824267090733257,
      0.4014591340421899,
      0.39478927198894587,
      0.3882312406733242,
      0.3817831517754759,
      0.3754431042331038,
      0.369209203746444,
      0.363079574891572,
      0.35705236846642174,
      0.35112576562031966,
      0.345298035763176,
      0.33956759968575445,
      0.3339328682476885,
      0.32839223214693314,
      0.3229440813804909,
      0.317586817550123,
      0.3123188611377605,
      0.30713865573023674,
      0.30204469590044825,
      0.29703551792182004,
      0.2921096701885573,
      0.287265718423677,
      0.282502249255202,
      0.2778178722221773,
      0.2732111153754927,
      0.2686803670279432,
      0.26422411438144466,
      0.259840949501375,
      0.2555295402073484,
      0.2512886109201331,
      0.2471169304089532,
      0.24301330335550514,
      0.23897661782850638,
      0.23500613982970497,
      0.23110119842771773,
      0.22726096737520815,
      0.22348452828462298,
      0.21977091048975647,
      0.2161191166719816,
      0.21252813906859705,
      0.20899697005404905,
      0.20552460839532388,
      0.20211006364958364,
      0.1987523584423814,
      0.19545045598547564,
      0.19220329057526742,
      0.18900985682294463,
      0.1858691962418437,
      0.18278038622341647,
      0.17974253248210337,
      0.17675476453508565,
      0.17381623231755364,
      0.17092610392254978,
      0.1680835642539551,
      0.1652878138509205,
      0.16253806813435998,
      0.15983355700410712,
      0.15717352407997337,
      0.1545572264432186,
      0.15198393414049371,
      0.14945293007243093,
      0.14696350970133096,
      0.14451498071750532,
      0.14210666266960142,
      0.1397378869275683,
      0.13740799645696034,
      0.13511634546776394,
      0.1328622992869149,
      0.13064523414951643,
      0.12846453700345362,
      0.1263196051871606,
      0.12420984632394938,
      0.12213467808832192,
      0.12009352802288954,
      0.11808583347507554,
      0.11611104137391057,
      0.11416860806252432,
      0.1122579989767068,
      0.1103786886003554,
      0.10853016038062678,
      0.10671190629676314,
      0.1049234270995519,
      0.10316423189914672,
      0.101433838060645,
      0.0997317709615509,
      0.09805756399936984,
      0.0964107584031161,
      0.09479090306505995,
      0.09319748862716715,
      0.09162997887172593,
      0.09008788334306515,
      0.08857074390000658,
      0.08707812595978452,
      0.08560961235563969,
      0.08416479967349842,
      0.08274329551369981,
      0.08134471684355964,
      0.07996868885065926,
      0.07861484421784871,
      0.07728282231683861,
      0.07597226910031511,
      0.07468283645470818,
      0.07341418229022313,
      0.07216597031849928,
      0.07093786975913394,
      0.069729555256887,
      0.0685407070382332,
      0.06737101048372592,
      0.06622015608550189,
      0.06508783928906638,
      0.06397376067523824,
      0.06287762569932448,
      0.06179914449633921,
      0.060738032024284315,
      0.05969400787596479,
      0.05866679614878166,
      0.05765612550021673,
      0.05666172892423838,
      0.05568334381130813,
      0.05472071172255788,
      0.05377357848777401,
      0.05284169416711928,
      0.051924812707206836,
      0.051022692133697554,
      0.050135094409003704,
      0.04926178527652461,
      0.04840253436392478,
      0.047557115078252415,
      0.04672530432188503,
      0.04590688267599313,
      0.04510163435948879,
      0.04430934696979046,
      0.04352981159273725,
      0.04276282276953054,
      0.04200817823867017,
      0.04126567914158901,
      0.04053512977048826,
      0.03981633750009981,
      0.039109113017273614,
      0.038413269955969186,
      0.037728624909249144,
      0.03705499756058384,
      0.03639221039461687,
      0.035740088736775005,
      0.03509846076551164,
      0.03446715751010259,
      0.033846012770430846,
      0.03323486288825,
      0.03263354690373013,
      0.03204190645501064,
      0.03145978577085606,
      0.030887031532872415,
      0.030323493002070497,
      0.029769021754359404,
      0.029223471832311713,
      0.028686699435415942,
      0.028158563331563285,
      0.027638924508368492,
      0.027127646170562424,
      0.026624593815692835,
      0.0261296349946459,
      0.025642639276701452,
      0.02516347859849335,
      0.024692026800875545,
      0.024228159886215555,
      0.023771755781107958,
      0.02332269431026699,
      0.0228808573307055,
      0.02244612858080912,
      0.022018393626124715,
      0.02159753996134247,
      0.021183456790998423,
      0.020776035123626493,
      0.020375167782217866,
      0.019980749328075142,
      0.019592675889241278,
      0.01921084549189497,
      0.01883515757163636,
      0.01846551334929613,
      0.018101815545505728,
      0.017743968508671368,
      0.017391877986258537,
      0.017045451398025373,
      0.01670459761315967,
      0.016369227025545573,
      0.016039251463507806,
      0.015714583996753892,
      0.015395139308132648,
      0.01508083334001533,
      0.014771583422836387,
      0.014467308135407884,
      0.01416792752002913,
      0.013873362730819256,
      0.013583536309781099,
      0.013298372048401924,
      0.013017794886102198,
      0.012741731124701944,
      0.01247010817117713,
      0.012202854571004958,
      0.011939900014219434,
      0.011681175307675679,
      0.011426612364545632,
      0.011176144216946505,
      0.01092970507161187,
      0.010687230013281042,
      0.010448655335580993,
      0.01021391827179639,
      0.009982957162270293,
      0.009755711148652646,
      0.009532120495273784,
      0.009312126456247601,
      0.009095671204186119,
      0.008882697704925167,
      0.00867314996459705,
      0.008466972949866826,
      0.00826411242922245,
      0.008064515052701808,
      0.007868128371707916,
      0.007674900588527074,
      0.007484780900117586,
      0.00729771938786343,
      0.00711366684721451,
      0.006932574842640949,
      0.006754395739920612,
      0.006579082672151876,
      0.00640658965481095,
      0.006236871271475014,
      0.006069882858470851,
      0.005905580443779005,
      0.005743920809951874,
      0.005584861465330935,
      0.00542836064765565,
      0.005274377223767387,
      0.005122870611431867,
      0.004973800957000354,
      0.004827129131715638,
      0.004682816654654809,
      0.004540825509568168,
      0.004401118326604145,
      0.004263658324653808,
      0.004128409396155621,
      0.003995335984056032,
      0.0038644029997753114,
      0.003735576118066372,
      0.003608821444917198,
      0.003484105658027725,
      0.0033613959270179,
      0.0032406600325958724,
      0.003121866297386676,
      0.0030049833469304307,
      0.002889980451109018,
      0.002776827371416532,
      0.0026654943825044153,
      0.0025559521806271875,
      0.00244817204882089,
      0.002342125521281508,
      0.0022377847934681267,
      0.0021351224154199456,
      0.0020341114005575822,
      0.001934725119799374,
      0.0018369374766355868,
      0.001740722798508678,
      0.0016460556787594276,
      0.0015529113220719246,
      0.0014612652118367305,
      0.001371093236569023,
      0.001282371709735518,
      0.001195077302222933,
      0.0011091869952160698,
      0.0010246782890058748,
      0.0009415288789557133,
      0.0008597169499076602,
      0.0007792209313704649,
      0.0007000197309375429,
      0.0006220924923779245,
      0.0005454187301488349,
      0.00046997822345972394,
      0.000395751153212107,
      0.00032271805603480553,
      0.0002508596649750708,
      0.00018015717118037398,
      0.00011059197185734922,
      4.214570555161554e-05,
      -2.5199705608601903e-05,
      -9.146185974115579e-05,
      -0.0001566581986473827,
      -0.00022080591731050273,
      -0.0002839218278042475,
      -0.0003460223934658632,
      -0.0004071240163212023,
      -0.00046724281503978836,
      -0.0005263946691602872,
      -0.0005845950780543045,
      -0.0006418592470448129,
      -0.000698202293489443,
      -0.0007536390515967902,
      -0.0008081841053314396,
      -0.0008618518456017152,
      -0.00091465626592705,
      -0.0009666111319987286,
      -0.0010177303536531297,
      -0.0010680273779351342,
      -0.0011175154009938006,
      -0.0011662074452975868,
      -0.0012141161943438966,
      -0.0012612543735641254,
      -0.0013076344247840755,
      -0.0013532684022493722,
      -0.0013981683192111946,
      -0.001442346035848937,
      -0.001485813210484581,
      -0.0015285811990796796,
      -0.0015706612906455624,
      -0.0016120645289072193,
      -0.0016528018574430011,
      -0.0016928838635448201,
      -0.0017323210935666457,
      -0.0017711239224193806,
      -0.0018093025753386166,
      -0.0018468671360204467,
      -0.0018838275227599551,
      -0.001920193380974636,
      -0.0019559742421306446,
      -0.0019911795801199066,
      -0.002025818695691702,
      -0.002059900670332085,
      -0.0020934344019739636,
      -0.002126428792665982,
      -0.0021588924143706744,
      -0.002190833835386387,
      -0.002222261412258078,
      -0.002253183417980157,
      -0.002283608106161838,
      -0.0023135434319373756,
      -0.0023429972420569885,
      -0.002371977318580193,
      -0.002400491275613077
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33470452058038,
      10.093455802619344,
      9.84584882450416,
      9.594711181394855,
      9.34253186962949,
      9.091458991213853,
      8.843276659688161,
      8.59940073437896,
      8.360878517571093,
      8.12840154463259,
      7.902341268185802,
      7.682795107539506,
      7.46963827013634,
      7.262576954297469,
      7.061199325685021,
      6.865021787988622,
      6.673529744139273,
      6.486210429553966,
      6.302578889287598,
      6.1221975995507245,
      5.944687161865693,
      5.76972447741615,
      5.597052460800979,
      5.426499229621476,
      5.2579730794807595,
      5.091448536776844,
      4.926973171116405,
      4.764681888981477,
      4.604816785705827,
      4.447685294049395,
      4.293621456019534,
      4.142985833163401,
      3.9961634449757266,
      3.8535427333240806,
      3.715491045873949,
      3.5823414189100777,
      3.454382741920635,
      3.3318527298631357,
      3.214933413903169,
      3.103749116365036,
      2.998353932038432,
      2.8987297983710643,
      2.8047825698881876,
      2.716335101860235,
      2.6331534039125857,
      2.554989288432423,
      2.4815871797693934,
      2.4126844191095684,
      2.3480124847497383,
      2.287288388712827,
      2.230196068420848,
      2.1763550015773347,
      2.1254163541687827,
      2.0770467772037056,
      2.0309319604668454,
      1.9867949107185594,
      1.9444138249675007,
      1.9036030675390399,
      1.8642104434742388,
      1.8261153865324722,
      1.7892126154824521,
      1.7534093274784834,
      1.7186297523623337,
      1.684811168095364,
      1.6519003627290327,
      1.6198511727913871,
      1.5886227642828017,
      1.558178424203444,
      1.5284847046153263,
      1.4995108903202863,
      1.4712296863088135,
      1.443618061620589,
      1.4166549287357417,
      1.3903192447550867,
      1.3645911722000728,
      1.3394515107670188,
      1.3148814336886008,
      1.2908626455063286,
      1.2673774663484876,
      1.2444088740630712,
      1.2219405183518581,
      1.1999567163517606,
      1.1784424370446935,
      1.1573832813392364,
      1.1367658833050684,
      1.1165783932986266,
      1.0968094448232362,
      1.0774482259413725,
      1.058483965423432,
      1.0399059752584148,
      1.021703767203735,
      1.0038671216954578,
      0.9863861252419045,
      0.9692511890682649,
      0.9524530549751026,
      0.9359827932728625,
      0.9198321406513982,
      0.9039933829519405,
      0.8884589067802291,
      0.8732212403163381,
      0.858273093150255,
      0.8436073777840983,
      0.8292172195848322,
      0.8150959594958244,
      0.8012371522670656,
      0.7876345621304086,
      0.7742821561033747,
      0.7611740973527253,
      0.74830473837278,
      0.7356686130882213,
      0.7232604296016815,
      0.7110750630621903,
      0.6991075486840602,
      0.6873530752972599,
      0.675806978506852,
      0.6644647354864895,
      0.6533219587199777,
      0.6423743904028406,
      0.6316178974292042,
      0.6210484662779365,
      0.6106621689758743,
      0.6004551413788352,
      0.5904236466581676,
      0.5805640725519763,
      0.570872919467607,
      0.5613467916718646,
      0.5519823901882848,
      0.542776506961783,
      0.5337260208464752,
      0.5248278932027447,
      0.5160791643693319,
      0.5074771498053492,
      0.4990199702037462,
      0.4907056782403874,
      0.48253206794301695,
      0.47449679221766183,
      0.4665974367549179,
      0.45883156580142,
      0.4511967514204586,
      0.44369059083579665,
      0.4363107169748402,
      0.42905480481050157,
      0.42192057450777676,
      0.4149057929312192,
      0.4080083081458832,
      0.4012262758475704,
      0.3945579366482257,
      0.3880014391988827,
      0.3815548903911991,
      0.3752163860006151,
      0.3689840297944281,
      0.3628559448711868,
      0.3568302811000587,
      0.35090521912826955,
      0.34507903783953947,
      0.3393501576718536,
      0.3337169852081768,
      0.3281779083308026,
      0.322731315287761,
      0.3173756063404357,
      0.3121092009933173,
      0.3069305424030275,
      0.30183812660411957,
      0.29683048958793895,
      0.29190617885244474,
      0.287063759329161,
      0.28230181713255004,
      0.2776189615108904,
      0.27301372493471043,
      0.2684844958289327,
      0.26402975937534257,
      0.2596481065679669,
      0.25533820441098,
      0.25109877669748676,
      0.24692859156162386,
      0.24282645342072584,
      0.23879124639064717,
      0.23482223101109273,
      0.23091873952750958,
      0.22707994764363906,
      0.22330493811164326,
      0.21959274096580197,
      0.21594235929007205,
      0.21235278566846258,
      0.20882301248662788,
      0.20535203868223706,
      0.20193887374795721,
      0.19858254012316168,
      0.1952819969696382,
      0.19203617846517074,
      0.18884408079180948,
      0.18570474656678343,
      0.18261725373282747,
      0.17958070850051788,
      0.1765942405490234,
      0.1736569997305938,
      0.1707681543883376,
      0.1679268893984736,
      0.16513240522960795,
      0.1623839174110712,
      0.15968065578630694,
      0.15702186395666715,
      0.15440679886955735,
      0.15183473058216174,
      0.1493049420797579,
      0.1468167287223167,
      0.1443693982088891,
      0.14196227012498813,
      0.13959467572710965,
      0.13726595791318888,
      0.13497547099818608,
      0.13272258035130474,
      0.13050666203430522,
      0.12832710291666383,
      0.12618330033382125,
      0.12407466199369653,
      0.1220006055140728,
      0.11996055858909772,
      0.11795395851241446,
      0.11598025224002366,
      0.1140388959743661,
      0.11212935522391991,
      0.1102511044596694,
      0.10840362712505335,
      0.10658641534501205,
      0.10479896979023141,
      0.1030407995952259,
      0.10131142209480698,
      0.09961036269586886,
      0.0979371548081967,
      0.09629133972629204,
      0.09467246632742791,
      0.09308009112698927,
      0.09151373457005663,
      0.08997287083116713,
      0.08845700945613819,
      0.08696569472305725,
      0.08549849570963716,
      0.08405500007966578,
      0.08263480963420099,
      0.0812375375724123,
      0.07986280670402524,
      0.07851024810725722,
      0.07717950023973792,
      0.07587020842632504,
      0.07458202426660505,
      0.07331460543748206,
      0.07206761554597135,
      0.07084072390532582,
      0.06963360532849894,
      0.06844593994165232,
      0.06727741313783281,
      0.06612771560744755,
      0.06499654302516894,
      0.0638835959906155,
      0.06278857994280748,
      0.06171120519394924,
      0.060651186758805216,
      0.059608244363367806,
      0.05858210227103508,
      0.057572489189057434,
      0.05657913815000857,
      0.05560178667686368,
      0.05464017660520829,
      0.053694053845431924,
      0.05276316840173226,
      0.05184727442881,
      0.05094613006245475,
      0.05005949744327375,
      0.04918714245960976,
      0.048328834740123644,
      0.04748434769528616,
      0.04665345842048304,
      0.045835947782172065,
      0.04503160001516909,
      0.044240202825983524,
      0.043461547363013685,
      0.04269542817775002,
      0.04194164320499533,
      0.04119999364466677,
      0.04047028387872041,
      0.039752321438113705,
      0.039045916994454734,
      0.038350884335194735,
      0.037667040166285866,
      0.03699420419306027,
      0.03633219906008702,
      0.0356808503054132,
      0.03503998615113598,
      0.03440943767935814,
      0.03378903869490263,
      0.033178625731884584,
      0.03257803795677198,
      0.03198711711922488,
      0.03140570748768511,
      0.030833655782040215,
      0.03027081126838834,
      0.029717025666176906,
      0.029172153179837897,
      0.028636050246881446,
      0.02810857563205346,
      0.027589590276182963,
      0.027078957547624457,
      0.0265765429240825,
      0.02608221412207996,
      0.025595840942180818,
      0.025117295255487775,
      0.024646451024395496,
      0.02418318423557885,
      0.023727372891699003,
      0.023278896960298355,
      0.022837638336504675,
      0.022403480927804975,
      0.0219763104413447,
      0.021556014251314384,
      0.02114248164339559,
      0.02073560378828229,
      0.02033527360661292,
      0.01994138567390957,
      0.01955383634207397,
      0.01917252363866376,
      0.01879734700107222,
      0.018428207709492512,
      0.018065008557237704,
      0.017707653927953225,
      0.017356049828190015,
      0.0170101036207455,
      0.016669724303934312,
      0.016334822320313525,
      0.016005309454132845,
      0.015681098949495504,
      0.015362105412167737,
      0.01504824490738761,
      0.014739434885235587,
      0.014435594034961047,
      0.014136642386377825,
      0.013842501243909199,
      0.01355309322822077,
      0.013268342112572256,
      0.01298817294389791,
      0.012712511952164067,
      0.012441286623906755,
      0.012174425589455938,
      0.011911858571904865,
      0.011653516518839621,
      0.011399331553889487,
      0.011149236640751521,
      0.010903165936977391,
      0.010661054707625767,
      0.010422839268584706,
      0.010188456838218568,
      0.009957845787627227,
      0.009730945455750708,
      0.009507696108745687,
      0.009288038998258422,
      0.009071916289841823,
      0.00885927112252891,
      0.008650047627118337,
      0.008444190694538275,
      0.008241646064710744,
      0.008042360629024727,
      0.007846281795632438,
      0.007653357836608485,
      0.007463538092039746,
      0.0072767727521846105,
      0.007093012540898241,
      0.006912209063377057,
      0.0067343147876285534,
      0.006559282921602923,
      0.0063870675158969065,
      0.006217623264336058,
      0.006050905434293364,
      0.005886870098306727,
      0.005725474082325018,
      0.00556667498164599,
      0.005410431006128585,
      0.005256701019492913,
      0.005105444524760475,
      0.004956621791476509,
      0.004810193629802864,
      0.004666121554749557,
      0.004524367673366185,
      0.004384894707543191,
      0.004247665924156655,
      0.004112645143598953,
      0.003979796960396658,
      0.003849086260514573,
      0.003720478713459043,
      0.003593940497529794,
      0.003469438389630374,
      0.0033469395967457723,
      0.0032264118053772052,
      0.0031078233217884505,
      0.0029911430048651586,
      0.0028763400674949448,
      0.002763384324660706,
      0.0026522460751339703,
      0.0025428960737370228,
      0.002435305499213355,
      0.0023294460511177084,
      0.002225289934098581,
      0.0021228097488307416,
      0.0020219785179556187,
      0.0019227696119605523,
      0.0018251570646498055,
      0.001729115133892432,
      0.0016346185186942748,
      0.0015416423616162992,
      0.0014501622084206285,
      0.00136015391859005,
      0.0012715938884644538,
      0.0011844587930917138,
      0.001098725730337395,
      0.001014372137131103,
      0.0009313757262586258,
      0.0008497147042888027,
      0.0007693676797944521,
      0.000690313490066652,
      0.0006125312835930854,
      0.0005360006480189725,
      0.00046070146016003767,
      0.0003866138705482441,
      0.0003137182889851671,
      0.00024199558134355332,
      0.00017142681629754662,
      0.00010199347084328051,
      3.367737674278714e-05,
      -3.3539497298725805e-05,
      -9.967476621928632e-05,
      -0.00016474584452604311,
      -0.00022876985522268507,
      -0.0002917637353241212,
      -0.00035374410523927435,
      -0.0004147271939361528,
      -0.00047472911918498427,
      -0.000533765613435111,
      -0.000591852104746415,
      -0.000649003904714883,
      -0.0007052360456948289,
      -0.0007605634417277247,
      -0.0008150006226222829,
      -0.0008685619057532815,
      -0.000921261369135047,
      -0.0009731129644344309,
      -0.0010241302786944784,
      -0.001074326753314131,
      -0.0011237154695497556,
      -0.0011723094608062778,
      -0.001220121591817298,
      -0.0012671644948163822,
      -0.0013134505683116034,
      -0.0013589918475053083,
      -0.001403800395143486,
      -0.0014478879417190369,
      -0.0014912659887047009,
      -0.0015339460892575584,
      -0.0015759394290123787,
      -0.0016172570418892442,
      -0.0016579098215326075,
      -0.001697908462313599,
      -0.0017372634377220654,
      -0.0017759852705242667,
      -0.0018140840141879972,
      -0.0018515697885016853,
      -0.0018884525205274361,
      -0.0019247418116631475,
      -0.0019604471726981446,
      -0.0019955780417208447,
      -0.0020301436942571876,
      -0.002064153152473477,
      -0.0020976153604904037,
      -0.002130539123876473,
      -0.0021629331826841284,
      -0.0021948060674112893,
      -0.0022261661517906095,
      -0.0022570215456142024,
      -0.0022873805082238704,
      -0.002317250952905213,
      -0.0023466407325833842,
      -0.0023755575941128474,
      -0.0024040091770115043
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334700618508167,
      10.093442810020866,
      9.845821256464994,
      9.594664377143102,
      9.342462589793588,
      9.091365081742946,
      8.843156848134653,
      8.599254534981856,
      8.360705895303058,
      8.128202718862873,
      7.902116590916422,
      7.682544976543261,
      7.469363073395086,
      7.2622770412886,
      7.060875001941225,
      6.864673321719943,
      6.673157376786672,
      6.485814431138264,
      6.302159601492433,
      6.121755501222817,
      5.94422294559378,
      5.769239103178015,
      5.596547166846462,
      5.425975522658388,
      5.257432699337199,
      5.090893317237873,
      4.926405136709001,
      4.764103629555302,
      4.604231688400302,
      4.447096772824883,
      4.293032928334841,
      4.142400750129567,
      3.9955853453283066,
      3.852975000647218,
      3.7149368025217524,
      3.5818034788804956,
      3.4538635671784945,
      3.331354399956675,
      3.214457609653884,
      3.1032971157546068,
      2.997926455265256,
      2.8983270350998347,
      2.804404079799627,
      2.7159797323006027,
      2.632819609503379,
      2.5546754409086585,
      2.4812914905696863,
      2.4124050111589654,
      2.3477475138555968,
      2.2870359170393417,
      2.229953851758299,
      2.176120660687239,
      2.1251877645227895,
      2.0768219542336745,
      2.0307091794763608,
      1.986572836907978,
      1.9441914746752171,
      1.903379719773274,
      1.863985478315442,
      1.8258883182405,
      1.7889830210656108,
      1.7531768955283764,
      1.7183942908437175,
      1.6845725674256193,
      1.6516585706165325,
      1.6196061769212717,
      1.588374579121218,
      1.5579270823478557,
      1.5282302507699037,
      1.4992533879222008,
      1.4709692990169698,
      1.4433550617552313,
      1.4163897491206254,
      1.3900522907788952,
      1.3643227363995565,
      1.339181798225526,
      1.3146105931439886,
      1.2905907875399498,
      1.2671046770944163,
      1.2441352233677245,
      1.2216660651812172,
      1.1996815125140614,
      1.178166529890422,
      1.1571067148281493,
      1.1364887182460413,
      1.1163006902247514,
      1.0965312659988924,
      1.0771696285702066,
      1.0582049994285336,
      1.0396266851668068,
      1.02142419366065,
      1.0035873027621833,
      0.9861060976311677,
      0.9689709883522697,
      0.9521727157837632,
      0.9357023936815978,
      0.9195518628264256,
      0.9037133713053573,
      0.8881792618694502,
      0.8729420346067631,
      0.8579943809074845,
      0.8433292013029822,
      0.828939613549121,
      0.8148189538339634,
      0.8009607734592759,
      0.7873588341405234,
      0.7740071014968399,
      0.7608997379172332,
      0.7480310949382091,
      0.735395705893579,
      0.7229882781161604,
      0.7108036862774868,
      0.6988369654215395,
      0.6870833039199631,
      0.6755380371303183,
      0.6641966419252594,
      0.6530547303484457,
      0.6421080442862622,
      0.6313524502420783,
      0.6207839344165069,
      0.6103985675171465,
      0.6001924849362246,
      0.5901619498205831,
      0.580303349781636,
      0.5706131852447157,
      0.5610880598441067,
      0.5517246742014803,
      0.5425198202104445,
      0.5334703763310014,
      0.524573303662106,
      0.5158256422551634,
      0.5072247614520518,
      0.49876882355546254,
      0.4904558429841248,
      0.4822835897903662,
      0.4742497015205212,
      0.46635175380714844,
      0.45858730470288067,
      0.45095392195478173,
      0.44344919999776744,
      0.4360707699998831,
      0.42881630553158806,
      0.42168352585564883,
      0.41467019722267096,
      0.4077741794455455,
      0.4009936442926741,
      0.39432682072733327,
      0.38777185012985993,
      0.3813268344554341,
      0.3749898663981308,
      0.36875904756764677,
      0.362632499894612,
      0.35660837215830765,
      0.35068484426720054,
      0.3448602043534832,
      0.33913287296278716,
      0.3335012523395869,
      0.3279637275526665,
      0.32251868509004256,
      0.31716452410339535,
      0.31189966326180446,
      0.3067225458291837,
      0.30163166881259723,
      0.29662556717877736,
      0.2917027874216757,
      0.2868618939533461,
      0.2821014724932572,
      0.27742013191376635,
      0.2728164092736424,
      0.26828869315120146,
      0.2638354668515567,
      0.25945532005976574,
      0.2551469188667687,
      0.25090898647937976,
      0.2467402906798207,
      0.24263963558646037,
      0.23860590121413724,
      0.23463834247941776,
      0.23073629492280967,
      0.2268989361137451,
      0.2231253499853527,
      0.21941456740245463,
      0.21576559193085557,
      0.21217741637756274,
      0.20864903332104784,
      0.2051794415941269,
      0.2017676506800467,
      0.19841268220004407,
      0.19511349164831307,
      0.191869013885777,
      0.18867824650235931,
      0.18554023294297725,
      0.18245405173100965,
      0.1794188093866812,
      0.1764336357554782,
      0.173497681005177,
      0.17061011338404977,
      0.16777011782885626,
      0.16497689487039613,
      0.16222965996176197,
      0.15952764283291274,
      0.15687008702212651,
      0.15425624960983614,
      0.15168540074056514,
      0.14915682320577017,
      0.14666981232817267,
      0.14422367570287956,
      0.1418177328772885,
      0.13945131523073484,
      0.13712376572865215,
      0.13483443852617824,
      0.13258269883988819,
      0.13036792283309778,
      0.1281894974703835,
      0.12604682001674697,
      0.12393929799441233,
      0.12186634921552973,
      0.11982740125541609,
      0.1178218914333417,
      0.11584926670306721,
      0.11390898338346915,
      0.11200050686152735,
      0.11012331174457102,
      0.10827688139368459,
      0.10646070800691883,
      0.10467429224231202,
      0.10291714314203601,
      0.10118877809079706,
      0.09948872253504881,
      0.09781650997748141,
      0.09617168161058032,
      0.09455378646646684,
      0.09296238099478701,
      0.09139702913134574,
      0.08985728136006267,
      0.08834262395529964,
      0.08685256552620603,
      0.08538665197697826,
      0.08394445574715961,
      0.08252556891514613,
      0.0811295983508037,
      0.07975616276130655,
      0.07840489051894507,
      0.07707541824619965,
      0.07576739020416136,
      0.07448045743481922,
      0.07321427731654671,
      0.07196851309455342,
      0.07074283399879348,
      0.06953691483360117,
      0.06835043577831718,
      0.06718308220439112,
      0.06603454487735683,
      0.06490451952934014,
      0.06379270685430523,
      0.06269881248923784,
      0.06162254687698693,
      0.06056362510556525,
      0.05952176703818554,
      0.058496697088791315,
      0.05748814410360348,
      0.056495841290892516,
      0.055519526230681925,
      0.054558940853184065,
      0.053613831150128216,
      0.05268394722605441,
      0.051769043403083435,
      0.05086887788991375,
      0.0499832127928523,
      0.04911181418639218,
      0.04825445188699857,
      0.04741089938064013,
      0.04658093388876704,
      0.045764336164871765,
      0.044960890568749384,
      0.04417038512266264,
      0.04339261103415379,
      0.042627363023209366,
      0.041874439086834594,
      0.04113364051165615,
      0.04040477184180308,
      0.03968764074170892,
      0.03898205787993912,
      0.038287837079359004,
      0.037604795291742786,
      0.03693275229786386,
      0.036271530832154675,
      0.03562095639724312,
      0.0349808574105962,
      0.03435106508866372,
      0.03373141332919665,
      0.03312173868014664,
      0.032521880388695364,
      0.031931680244509354,
      0.031350982700035626,
      0.03077963462562931,
      0.030217485385713495,
      0.02966438667009006,
      0.029120192741794868,
      0.028584760191562864,
      0.02805794785474715,
      0.027539616831939437,
      0.02702963050561802,
      0.026527854597775683,
      0.026034156803643727,
      0.025548406980439586,
      0.025070477039031844,
      0.024600241098001283,
      0.024137575175656387,
      0.02368235737275631,
      0.02323446780889407,
      0.022793788407909594,
      0.022360203148078274,
      0.02193359777799678,
      0.02151385977006978,
      0.02110087859724967,
      0.020694545424136623,
      0.02029475314515031,
      0.019901396499357283,
      0.01951437187452193,
      0.019133577263821262,
      0.01875891245778878,
      0.01839027872811505,
      0.018027578841511703,
      0.017670717327632052,
      0.01731960015573078,
      0.01697413480510339,
      0.016634230411623298,
      0.016299797379464555,
      0.015970747653539723,
      0.015646994584127556,
      0.015328452778182372,
      0.015015038375072952,
      0.014706668794270536,
      0.014403262850577681,
      0.014104740607370842,
      0.01381102345125081,
      0.013522034133732094,
      0.013237696481056152,
      0.012957935566059987,
      0.01268267777071667,
      0.012411850490917182,
      0.012145382443436778,
      0.01188320348161545,
      0.011625244663883942,
      0.011371437900530808,
      0.011121716392799297,
      0.010876014389879953,
      0.010634267140925364,
      0.010396411048215048,
      0.01016238341755048,
      0.009932122676695217,
      0.009705568165615035,
      0.009482660235731853,
      0.009263340257418387,
      0.009047550453850068,
      0.008835233883917156,
      0.00862633463881743,
      0.008420797737291518,
      0.008218568992310419,
      0.00801959524395699,
      0.00782382415693783,
      0.007631204187320677,
      0.007441684615318728,
      0.007255215581706354,
      0.0070717478412936395,
      0.006891233129555414,
      0.0067136238649029845,
      0.00653887326732842,
      0.006366935372054106,
      0.0061977648744843345,
      0.006031317270637549,
      0.0058675487905309725,
      0.0057064163090016825,
      0.005547877291841771,
      0.005391890022117256,
      0.005238413410752652,
      0.0050874070331042714,
      0.004938831141806885,
      0.004792646625518039,
      0.004648814931577249,
      0.004507298207390353,
      0.004368059317184939,
      0.0042310616008110835,
      0.004096268990637202,
      0.003963645965485011,
      0.0038331575891664004,
      0.003704769545254622,
      0.0035784479322671994,
      0.003454159461510315,
      0.0033318714725696927,
      0.003211551748005178,
      0.003093168526682374,
      0.0029766906654883256,
      0.0028620875488116516,
      0.002749329057283641,
      0.002638385424322984,
      0.002529227488228886,
      0.002421826469323854,
      0.0023161541243480344,
      0.0022121825719101573,
      0.002109884501158719,
      0.0020092329435880017,
      0.001910201408980907,
      0.0018127638259298868,
      0.0017168945413030213,
      0.0016225682703222464,
      0.0015297602010161497,
      0.0014384459156227569,
      0.0013486014222423694,
      0.0012602029777687442,
      0.0011732273638179413,
      0.0010876515791119201,
      0.001003453162811015,
      0.0009206099789092378,
      0.000839100256739658,
      0.0007589024036531111,
      0.0006799953592184942,
      0.0006023583724981816,
      0.0005259709779969498,
      0.0004508130867641707,
      0.0003768649461397658,
      0.00030410699172806724,
      0.00023252006999401574,
      0.00016208531826720503,
      9.278428810277052e-05,
      2.4598726373362253e-05,
      -4.2489299156455134e-05,
      -0.00010849750198429799,
      -0.0001734433192385338,
      -0.00023734385922846306,
      -0.0003002158223849431,
      -0.00036207575121334257,
      -0.00042294015254491714,
      -0.0004828249770168324,
      -0.0005417459618241595,
      -0.0005997186349243083,
      -0.0006567582234503244,
      -0.0007128797645852103,
      -0.0007680979672028337,
      -0.0008224274350429082,
      -0.000875882494950918,
      -0.000928477164300867,
      -0.0009802253075761353,
      -0.0010311405636867234,
      -0.0010812362659727553,
      -0.0011305256854718777,
      -0.0011790217581197806,
      -0.0012267372632978016,
      -0.001273684822947789,
      -0.0013198768045685622,
      -0.0013653252557266754,
      -0.0014100421419233563,
      -0.0014540392662666026,
      -0.0014973282333228513,
      -0.0015399204626919372,
      -0.0015818271830966982,
      -0.0016230593937511832,
      -0.00166362792012669,
      -0.001703543488429615,
      -0.0017428166021914856,
      -0.0017814576090254572,
      -0.0018194767476578445,
      -0.0018568839145028284,
      -0.001893689071487586,
      -0.0019299018588963793,
      -0.0019655317669529083,
      -0.002000588268472909,
      -0.0020350805061073044,
      -0.0020690176208793673,
      -0.0021024085017661127,
      -0.002135261852471093,
      -0.0021675864292599704,
      -0.002199390668006165,
      -0.0022306830036396756,
      -0.0022614716934067475,
      -0.0022917648556087813,
      -0.0023215704250816073,
      -0.0023508962799218235,
      -0.002379750062400617,
      -0.002408139386985434
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334696608325944,
      10.093429466319284,
      9.845792990936015,
      9.594616434181678,
      9.342391656877988,
      9.091268948178175,
      8.843034202954515,
      8.599104866497324,
      8.360529150509693,
      8.127999104821008,
      7.90188645239991,
      7.682288707688824,
      7.469081061552192,
      7.261969636137206,
      7.06054250879061,
      6.864316010055017,
      6.672775489474251,
      6.4854082383026475,
      6.301729447314362,
      6.121301868817924,
      5.94374653145869,
      5.768740872017874,
      5.596028365826076,
      5.425437672205248,
      5.2568775551927995,
      5.090322729138539,
      4.92582114996243,
      4.763508871504123,
      4.603629606079895,
      4.446490841774347,
      4.292426632045046,
      4.141797616525011,
      3.994988997707047,
      3.8523888997433544,
      3.7143641459536427,
      3.581247152167316,
      3.4533260997604254,
      3.3308379343125516,
      3.213963882434133,
      3.1028274526781905,
      2.997481619534306,
      2.8979072274748714,
      2.804008870685637,
      2.7156079915140467,
      2.6324698049284567,
      2.5543459484101327,
      2.480980518513865,
      2.4121106771037026,
      2.347467965403276,
      2.286769202045178,
      2.229697610610062,
      2.1758725141570765,
      2.1249455852691526,
      2.0765837525827116,
      2.0304732250158612,
      1.9863377892262275,
      1.943956345978524,
      1.9031437867310115,
      1.8637481173111716,
      1.8256490377662051,
      1.788741392271729,
      1.7529326002893721,
      1.7181471300964788,
      1.6843224250986726,
      1.6514053879911519,
      1.6193499349886498,
      1.588115286020436,
      1.5576647648375461,
      1.5279649482195814,
      1.4989851578829056,
      1.470698325831138,
      1.443081647510943,
      1.4161143386716002,
      1.3897752608840284,
      1.3640443602027408,
      1.3389022671384063,
      1.3143300446391044,
      1.290309323786383,
      1.2668223775345873,
      1.2438521525060695,
      1.2213822779244567,
      1.1993970566048722,
      1.1778814491473621,
      1.156821050598805,
      1.1362025296261515,
      1.1160140357412505,
      1.0962442057974633,
      1.0768822175985653,
      1.0579172846298497,
      1.0393387088102533,
      1.0211359949281589,
      1.0032989181014742,
      0.985817561401035,
      0.9686823339642128,
      0.9518839759167375,
      0.9354136686426183,
      0.9192633447009043,
      0.903425190093265,
      0.8878915088282942,
      0.8726547757212901,
      0.8577076658674001,
      0.8430430692796171,
      0.8286540967487275,
      0.814534079954267,
      0.8006765674630046,
      0.7870753190437169,
      0.773724299090239,
      0.7606176688374934,
      0.7477497789796879,
      0.7351151621036068,
      0.7227085253104097,
      0.7105247430610001,
      0.6985588497160767,
      0.6868060332682343,
      0.6752616290151896,
      0.663921113443504,
      0.652780098281552,
      0.6418343249831137,
      0.6310796596192072,
      0.620512088024652,
      0.610127680090536,
      0.5999225707703375,
      0.5898930229881172,
      0.5800354243405698,
      0.5703462748277642,
      0.5608221782325303,
      0.5514598348492296,
      0.5422560361420834,
      0.5332076600830808,
      0.5243116672669325,
      0.5155650975475451,
      0.5069654037415735,
      0.4985107506305212,
      0.4901991183938532,
      0.4820282550909836,
      0.47399578432145767,
      0.46609927268607126,
      0.458336272227332,
      0.4507043468389057,
      0.4432010885532562,
      0.4358241268863861,
      0.42857113421693716,
      0.4214398288884833,
      0.4144279764212256,
      0.4075334486417329,
      0.4007544337102496,
      0.3940891485765371,
      0.38753572721575674,
      0.3810922668950332,
      0.37475685712087675,
      0.3685275975465229,
      0.3624026086027635,
      0.3563800382336759,
      0.35045806563565424,
      0.3446349886249659,
      0.33890922753013486,
      0.33327918012543545,
      0.3277432288153626,
      0.32229975804669836,
      0.316947165580475,
      0.31168386936345865,
      0.30650831324868555,
      0.30141899524171145,
      0.29641444875240647,
      0.29149321961561,
      0.2866538715610332,
      0.2818949898776675,
      0.277215183280966,
      0.2726129924928276,
      0.26808680618234926,
      0.2636351061574035,
      0.2592564810065573,
      0.2549495960682894,
      0.2507131741237539,
      0.24654598262385505,
      0.24244682535825654,
      0.238414578261921,
      0.23444849071346685,
      0.23054790141792303,
      0.22671198987040142,
      0.2229398412581964,
      0.21923048717200921,
      0.215582931580473,
      0.21199616745957292,
      0.20846918748792378,
      0.20500099071980363,
      0.2015905866627744,
      0.19823699465365693,
      0.19493916724748261,
      0.19169604119770756,
      0.18850661533992677,
      0.1853699338753198,
      0.18228507573591476,
      0.17925114770732625,
      0.17626727989743407,
      0.17333262249169504,
      0.17044634382913773,
      0.16760762871701707,
      0.16481567783171022,
      0.162069706678003,
      0.15936894494276516,
      0.15671263614695377,
      0.1541000371371117,
      0.15153041800016903,
      0.14900306160719762,
      0.14651726326878042,
      0.14407233057738544,
      0.1416675831249227,
      0.13930235221026077,
      0.13697598066285538,
      0.13468782267430587,
      0.13243724356176376,
      0.13022361939850144,
      0.12804633700812898,
      0.12590479371080537,
      0.12379839712696154,
      0.12172656494330893,
      0.11968872479225061,
      0.1176843140288624,
      0.1157127796343061,
      0.11377357787605048,
      0.11186617411243892,
      0.10999004293165278,
      0.10814466786287055,
      0.10632954104037567,
      0.10454416299121813,
      0.10278804288303793,
      0.10106069817127712,
      0.09936165435024255,
      0.09769044480745351,
      0.09604661072395626,
      0.09442970124273076,
      0.09283927288823056,
      0.09127488955210324,
      0.08973612257421096,
      0.08822254300341612,
      0.08673366374435432,
      0.0852689903428332,
      0.08382806904164575,
      0.08241047481633669,
      0.08101580344596339,
      0.07964366627706236,
      0.07829368706527744,
      0.07696549951520867,
      0.07565874583998272,
      0.07437307581294503,
      0.07310814602526908,
      0.0718636195214776,
      0.07063916515635814,
      0.06943445761577544,
      0.0682491770383619,
      0.06708300889293518,
      0.06593564386254318,
      0.06480677775727266,
      0.06369611144884837,
      0.0626033506619045,
      0.06152820590374481,
      0.06047039251400126,
      0.059429630286294235,
      0.0584056437335015,
      0.05739816178185398,
      0.056406917837920664,
      0.05543164962701848,
      0.0544720990895733,
      0.05352801239153898,
      0.05259913988066658,
      0.05168523592211106,
      0.05078605878359661,
      0.04990137080262379,
      0.04903093805395127,
      0.048174530387104,
      0.04733192147523674,
      0.04650288870660905,
      0.04568721297560637,
      0.044884678719264715,
      0.044095073954521495,
      0.043318190116087736,
      0.042553821910289315,
      0.04180176753773378,
      0.04106182841394711,
      0.04033380903932955,
      0.03961751722730907,
      0.038912763829838326,
      0.03821936271981277,
      0.03753713083234718,
      0.03686588819265007,
      0.03620545758965094,
      0.03555566463922679,
      0.034916337873781574,
      0.03428730852504681,
      0.03366841064190377,
      0.033059480894232565,
      0.032460358629212094,
      0.031870885727390115,
      0.03129090681220893,
      0.03072026885968574,
      0.03015882122416214,
      0.029606415787662852,
      0.02906290684549469,
      0.02852815093133361,
      0.0280020071025076,
      0.027484336452581644,
      0.026975002567220456,
      0.02647387114963392,
      0.025980809959875107,
      0.02549568896547067,
      0.025018380157183842,
      0.024548757684472178,
      0.024086697871770715,
      0.023632078849184782,
      0.023184780724462867,
      0.022744685584267073,
      0.022311677350786634,
      0.0218856418727948,
      0.02146646682863751,
      0.021054041647303217,
      0.02064825753680337,
      0.02024900764949353,
      0.019856186765522157,
      0.019469691351441106,
      0.019089419415402445,
      0.018715270718197455,
      0.01834714653325137,
      0.017984949953304224,
      0.017628585523265267,
      0.017277959247925433,
      0.016932978796097283,
      0.01659355320851025,
      0.016259592961480118,
      0.015931010041960594,
      0.01560771793995789,
      0.015289631391730917,
      0.014976666599168478,
      0.014668740990323805,
      0.01436577350646312,
      0.014067684233091366,
      0.01377439476105808,
      0.013485827643593871,
      0.01320190685627666,
      0.012922557593910962,
      0.012647706174541766,
      0.01237728026581032,
      0.012111208588421938,
      0.011849421056453913,
      0.011591848648930097,
      0.011338423355128297,
      0.01108907846756446,
      0.010843748320518608,
      0.010602368293188788,
      0.010364874638748028,
      0.01013120476882429,
      0.009901297205076393,
      0.009675091401428802,
      0.009452527703820832,
      0.00923354746625694,
      0.009018093036794439,
      0.008806107626620667,
      0.008597535405534254,
      0.008392321390864136,
      0.008190411460909309,
      0.007991752409395302,
      0.007796291946824012,
      0.007603978520835763,
      0.007414761495422988,
      0.007228591015840226,
      0.00704541806103223,
      0.006865194283101376,
      0.006687872186584076,
      0.006513405081883496,
      0.006341746997627417,
      0.006172852652575378,
      0.006006677647214943,
      0.005843178155657004,
      0.005682311122747011,
      0.00552403412680307,
      0.005368305435782783,
      0.0052150841233353454,
      0.005064329863718741,
      0.004916002868967285,
      0.004770063955228671,
      0.004626474719748791,
      0.004485197307576422,
      0.004346194517383338,
      0.004209429744344977,
      0.004074866900235387,
      0.003942470634386957,
      0.0038122059212118264,
      0.003684038476283207,
      0.0035579346344596263,
      0.003433861198622762,
      0.0033117854111019136,
      0.0031916751050723195,
      0.003073498660904255,
      0.002957224971377793,
      0.002842823300445574,
      0.00273026352451987,
      0.002619516027341342,
      0.0025105516219012082,
      0.0024033416777829502,
      0.002297857874916851,
      0.002194072359735841,
      0.0020919577564991634,
      0.001991487257230129,
      0.0018926345037760075,
      0.0017953732422938023,
      0.0016996778630457834,
      0.0016055231915170674,
      0.0015128844277771919,
      0.0014217371828037274,
      0.0013320574461661036,
      0.00124382159364581,
      0.001157006389966588,
      0.001071588980173011,
      0.0009875468890321185,
      0.0009048580027186483,
      0.0008235004183814185,
      0.0007434527844645799,
      0.000664693936891281,
      0.0005872030768249781,
      0.0005109597907706014,
      0.0004359440722256508,
      0.0003621362239489444,
      0.0002895167235811359,
      0.00021806640137061935,
      0.000147766453913245,
      7.859833859779048e-05,
      1.0543757963960988e-05,
      -5.641508124359812e-05,
      -0.00012229584974447047,
      -0.00018711587239279793,
      -0.0002508922789599104,
      -0.00031364184222449547,
      -0.00037538115212162296,
      -0.00043612643912318617,
      -0.0004958936569970781,
      -0.0005546985708962602,
      -0.0006125567174761897,
      -0.0006694833387943182,
      -0.0007254934037945044,
      -0.0007806016542921637,
      -0.0008348226185950321,
      -0.0008881705855544046,
      -0.0009406596673599924,
      -0.0009923036129538803,
      -0.0010431161038502205,
      -0.0010931104897394905,
      -0.0011422999618008953,
      -0.0011906974262106,
      -0.0012383156887699972,
      -0.0012851672566904975,
      -0.001331264591446389,
      -0.001376619718781113,
      -0.0014212446194530725,
      -0.0014651511108330602,
      -0.001508350670648507,
      -0.0015508546983299281,
      -0.0015926743752323646,
      -0.0016338207786614027,
      -0.0016743046325577986,
      -0.001714136610544041,
      -0.0017533273333561474,
      -0.0017918870859325506,
      -0.001829826042401869,
      -0.0018671541660452674,
      -0.001903881280155051,
      -0.0019400171003713935,
      -0.0019755710628756823,
      -0.002010552615714501,
      -0.002044971001691479,
      -0.002078835249947888,
      -0.002112154230675865,
      -0.002144936734229243,
      -0.0021771914040217377,
      -0.002208926840441069,
      -0.002240151303724408,
      -0.002270872994603985,
      -0.0023010999463901846,
      -0.0023308402475786523,
      -0.002360101678948827,
      -0.00238889200518881,
      -0.0024172188015533073
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334692691812766,
      10.093416429365549,
      9.845765334477772,
      9.594569479832378,
      9.34232215200378,
      9.091174726859927,
      8.842914024284918,
      8.598958265511007,
      8.360356075237043,
      8.127799760475735,
      7.901661180387314,
      7.682037897140994,
      7.468805092274774,
      7.261668850285051,
      7.060217206287885,
      6.863966454163636,
      6.67240191692781,
      6.485010916272161,
      6.301308716739319,
      6.120858208879335,
      5.943280635276761,
      5.7682536985260535,
      5.595521151785227,
      5.424911923727334,
      5.256335011080893,
      5.089765222516122,
      4.925250704647252,
      4.76292808010372,
      4.603041864200038,
      4.445899573217045,
      4.291835263220959,
      4.141209613132901,
      3.9944079155986647,
      3.8518181320900835,
      3.7138068239673427,
      3.5807060970400624,
      3.4528037811128467,
      3.3303364387926293,
      3.213484896710669,
      3.102372259573847,
      2.9970509445716527,
      2.8975012101627264,
      2.803627036648109,
      2.7152492113240685,
      2.632132553051085,
      2.554028612761994,
      2.4806813224224227,
      2.411827754302946,
      2.347199480745024,
      2.2865132231991536,
      2.229451739783992,
      2.1756344160483465,
      2.124713171244893,
      2.076355069591738,
      2.0302465748799645,
      1.9861118561819697,
      1.943730160069729,
      1.9029166383344318,
      1.8635193937370667,
      1.825418257471598,
      1.7885081353553807,
      1.7526965562545063,
      1.717908106960951,
      1.6840803127023334,
      1.6511601330112224,
      1.6191015232427592,
      1.5878637305149588,
      1.5574100968860713,
      1.5277072106260474,
      1.4987244116901395,
      1.47043480665396,
      1.4428157074298535,
      1.415846440234458,
      1.3895057390200973,
      1.3637734611772867,
      1.3386301650013233,
      1.3140568669419035,
      1.2900351678899677,
      1.2665473202514668,
      1.2435762571438433,
      1.221105598678934,
      1.199119642439209,
      1.1776033451741703,
      1.156542299457293,
      1.1359231909648735,
      1.1157341689455904,
      1.095963872001257,
      1.0766014734567144,
      1.0576361789837854,
      1.03905728544129,
      1.0208542935668667,
      1.0030169764414274,
      0.9855354155748504,
      0.968400018704382,
      0.9516015249597544,
      0.9351312254678787,
      0.9189810849801905,
      0.9031432346582753,
      0.8876099430014012,
      0.8723736621474036,
      0.8574270525045662,
      0.8427629942932877,
      0.8283745923046631,
      0.8142551737985526,
      0.8003982844797137,
      0.786797682439257,
      0.7734473306974375,
      0.7603413896601219,
      0.747474209494889,
      0.7348403222226788,
      0.7224344343018299,
      0.7102514197933333,
      0.6982863128389752,
      0.6865343008999848,
      0.6749907190307302,
      0.6636510434720395,
      0.6525108855425951,
      0.6415659863675228,
      0.6308122116590762,
      0.6202455466760315,
      0.6098620599972112,
      0.5996578864751457,
      0.5896292891439526,
      0.579772655660019,
      0.5700844857466212,
      0.5605613826158318,
      0.5512000465540936,
      0.5419972686577229,
      0.5329499264180765,
      0.5240549801087223,
      0.515309469083842,
      0.5067109288974444,
      0.4982575263724645,
      0.4899472081250629,
      0.4817777004354734,
      0.4737466129120141,
      0.4658515031019807,
      0.4580899172419506,
      0.4504594155990902,
      0.4429575875960534,
      0.43558206106630426,
      0.42833050723956884,
      0.4212006436326697,
      0.41419023517684306,
      0.4072971656248116,
      0.40051963910860505,
      0.3938558608801479,
      0.3873039575189592,
      0.3808620214592753,
      0.3745281392048604,
      0.36830040828012467,
      0.3621769477481345,
      0.35615590458137913,
      0.35023545735608974,
      0.34441391314187014,
      0.33868969218967665,
      0.3330611881322074,
      0.3275267805417127,
      0.32208485198533254,
      0.3167337990330802,
      0.31147203876602186,
      0.3062980153938115,
      0.30121022783932533,
      0.2962072085097112,
      0.2912875021690894,
      0.2864496720252449,
      0.28169230289363356,
      0.2770140031627054,
      0.2724133177845503,
      0.26788863565518095,
      0.26343843674007444,
      0.2590613084289967,
      0.2547559153203248,
      0.25052097960465425,
      0.24635526823689197,
      0.2422575848690267,
      0.23822680112736738,
      0.2342621608650031,
      0.23036300598851,
      0.22652851795556814,
      0.22275778323141593,
      0.2190498342582906,
      0.2154036753934183,
      0.2118182999207641,
      0.20829270055535914,
      0.20482587645903153,
      0.20141683704999486,
      0.198064599674121,
      0.19476811382166537,
      0.19152631811547652,
      0.1883382125888158,
      0.18520284225282274,
      0.1821192865280189,
      0.17908665238070212,
      0.1761040700330517,
      0.17317068980140904,
      0.17028568007612874,
      0.1674482258459282,
      0.16465752769809563,
      0.16191280088463805,
      0.15921327506934396,
      0.15655819383244937,
      0.15394681414908584,
      0.15137840597967095,
      0.1488522521182285,
      0.1463676479103615,
      0.143923900948988,
      0.14152033077247342,
      0.13915626853963778,
      0.13683105714510685,
      0.13454405075166972,
      0.13229461462952657,
      0.1300821249455378,
      0.127905968534419,
      0.12576554263229406,
      0.12366025484527333,
      0.12158952285097482,
      0.11955277425238871,
      0.1175494464691501,
      0.11557898637991881,
      0.11364085027466095,
      0.11173450359527119,
      0.10985942092215863,
      0.10801508571047336,
      0.10620099008090468,
      0.10441663478518794,
      0.10266152892042411,
      0.10093518982358049,
      0.09923714306386748,
      0.09756692208725035,
      0.09592406820579819,
      0.09430813047397561,
      0.09271866541282964,
      0.09115523697654813,
      0.08961741642995698,
      0.08810478218765741,
      0.0866169197927351,
      0.08515337358188504,
      0.08371365195173613,
      0.08229729971115528,
      0.08090389286438195,
      0.0795330300190612,
      0.07818432654803481,
      0.07685741078011768,
      0.0755519215365953,
      0.07426750633962162,
      0.07300382034930292,
      0.07176052556099317,
      0.07053729047952796,
      0.06933378947979182,
      0.06814970246552728,
      0.06698471493992539,
      0.06583851758406935,
      0.06471080629384032,
      0.06360128184448095,
      0.06250965001844032,
      0.06143562166923536,
      0.0603789119924592,
      0.05933924103798226,
      0.05831633345421747,
      0.05730991826872187,
      0.056319728933231776,
      0.05534550327040385,
      0.054386983405270026,
      0.05344391560481015,
      0.05251605033317301,
      0.05160314199505052,
      0.05070494901546967,
      0.049821233772141864,
      0.048951762488463356,
      0.04809630528482712,
      0.04725463578918524,
      0.046426531499446054,
      0.04561177351705646,
      0.04481014644169652,
      0.044021438304038533,
      0.043245440584733855,
      0.042481948173638914,
      0.04173075936398255,
      0.040991675633984155,
      0.04026450160275816,
      0.03954904515379951,
      0.03884511728194195,
      0.03815253194876015,
      0.03747110625172893,
      0.03680066021378588,
      0.03614101675940553,
      0.03549200167318475,
      0.03485344353753298,
      0.034225173661857504,
      0.03360702620083242,
      0.03299883788856594,
      0.032400448228515094,
      0.031811699210438665,
      0.03123243546330281,
      0.030662503959940777,
      0.030101754297566893,
      0.02955003829434896,
      0.029007210453952593,
      0.028473127523957104,
      0.027947648521388348,
      0.027430634741300166,
      0.026921949767836142,
      0.026421459290825584,
      0.025929031261280266,
      0.025444535724373583,
      0.024967844877715674,
      0.02449883287002471,
      0.024037375970410207,
      0.02358335242769254,
      0.02313664245192992,
      0.022697128209863734,
      0.022264693777211977,
      0.021839225077604184,
      0.021420609900405535,
      0.0210087377395947,
      0.020603499892103836,
      0.020204789528424447,
      0.01981250135673545,
      0.019426531948505337,
      0.01904677967052777,
      0.01867314428658017,
      0.018305527181930816,
      0.017943831396721035,
      0.017587961551411076,
      0.017237823669980366,
      0.01689332556271011,
      0.016554376267323288,
      0.016220886309557637,
      0.015892767835990675,
      0.015569934326949163,
      0.015252300587917444,
      0.014939782931034953,
      0.014632298827757696,
      0.01432976727886822,
      0.014032108541179379,
      0.013739243986736491,
      0.013451096405104397,
      0.013167589904107017,
      0.012888649726927864,
      0.012614202213193494,
      0.012344175012628295,
      0.012078496992175588,
      0.011817098046079614,
      0.011559909253504108,
      0.011306862779764025,
      0.011057891934828581,
      0.010812931077082862,
      0.010571915603828417,
      0.010334781933328756,
      0.010101467522422903,
      0.009871910920261118,
      0.009646051520758338,
      0.009423829801961582,
      0.009205187206939445,
      0.008990066015867132,
      0.008778409571299117,
      0.008570162087403436,
      0.008365268628542484,
      0.008163675097067936,
      0.007965328428388114,
      0.007770176312375937,
      0.00757816721111036,
      0.007389250544535151,
      0.007203376612829202,
      0.007020496356711844,
      0.006840561604189085,
      0.006663524753856351,
      0.00648933923718618,
      0.0063179590621803075,
      0.006149339052586283,
      0.005983434766204693,
      0.005820202498570404,
      0.005659599263824678,
      0.005501582632624455,
      0.005346110966406173,
      0.005193143272738262,
      0.005042639229220479,
      0.004894559114048426,
      0.00474886392384713,
      0.00460551527117444,
      0.004464475297738316,
      0.004325706920086153,
      0.0041891734803671575,
      0.004054838997084074,
      0.003922667991760005,
      0.0037926256870354728,
      0.003664677863852085,
      0.003538790701436881,
      0.003414931026305094,
      0.0032930661567162588,
      0.003173163933259706,
      0.0030551928534868983,
      0.0029391217831273623,
      0.002824920056432002,
      0.002712557609661269,
      0.002602004736143889,
      0.0024932324087344987,
      0.0023862119175623257,
      0.0022809150757699217,
      0.0021773140703253637,
      0.0020753816392786242,
      0.00197509095834589,
      0.0018764155800344525,
      0.0017793293872757582,
      0.0016838067324323885,
      0.0015898225210806492,
      0.0014973519036915325,
      0.0014063706106899462,
      0.001316854685170009,
      0.0012287804845568285,
      0.00114212469568275,
      0.0010568645424132242,
      0.0009729776007831014,
      0.0008904416726586498,
      0.0008092350423792953,
      0.0007293363021181718,
      0.0006507243379478315,
      0.0005733784634286669,
      0.0004972782553020204,
      0.00042240371541203334,
      0.0003487350774981737,
      0.00027625290770335405,
      0.00020493813019451787,
      0.00013477188203208447,
      6.573576379445995e-05,
      -2.1885126228843267e-06,
      -6.90188650455529e-05,
      -0.00013477289221987303,
      -0.0001994679303466818,
      -0.00026312108914299036,
      -0.00032574908374322775,
      -0.00038736844027589194,
      -0.0004479953508242698,
      -0.0005076458642345399,
      -0.0005663356437172453,
      -0.0006240802128540995,
      -0.0006808947429684817,
      -0.0007367942781759058,
      -0.0007917934889898954,
      -0.0008459069718109817,
      -0.0008991489180298294,
      -0.0009515333670455428,
      -0.0010030741340822393,
      -0.0010537848072450652,
      -0.001103678692649505,
      -0.0011527689749801211,
      -0.001201068648143701,
      -0.0012485904392111435,
      -0.001295346839320175,
      -0.0013413503116731051,
      -0.001386612920623437,
      -0.0014311465698647015,
      -0.0014749630175268725,
      -0.0015180737122102012,
      -0.0015604900542631858,
      -0.0016022233325864656,
      -0.0016432844187716457,
      -0.0016836841535227034,
      -0.0017234332682062722,
      -0.001762542229918343,
      -0.0018010212761630287,
      -0.0018388806968474606,
      -0.0018761303909577997,
      -0.001912780109353128,
      -0.0019488394927492862,
      -0.001984318128855617,
      -0.002019225411761638,
      -0.0020535705089422406,
      -0.0020873624480763943,
      -0.002120610171652672,
      -0.0021533223684169216,
      -0.002185507711109788,
      -0.002217174705978879,
      -0.0022483316944043384,
      -0.002278986898517128,
      -0.002309148338614423,
      -0.0023388240558508823,
      -0.0023680218955748566,
      -0.0023967494682168625,
      -0.0024250142617314157
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334688859508907,
      10.09340366994355,
      9.845738234041434,
      9.594523434774805,
      9.342253968603014,
      9.091082284518356,
      8.842796116073666,
      8.59881444904843,
      8.360186310145105,
      8.12760425745982,
      7.901440282412467,
      7.681791992143543,
      7.468534559047297,
      7.261374030235992,
      7.059898397554944,
      6.863623921469427,
      6.6720358978558325,
      6.484621676263556,
      6.300896595205185,
      6.12042368103546,
      5.9428243931582925,
      5.7677767005786365,
      5.595024628251873,
      5.424397368431041,
      5.2558041470164145,
      5.089219867417266,
      4.924692862678689,
      4.762360387019494,
      4.602467657800502,
      4.445322216245868,
      4.291258119678934,
      4.140636110609147,
      3.99384155829303,
      3.8512622350201777,
      3.7132644423587644,
      3.5801799805573005,
      3.452296331948923,
      3.329849682369298,
      3.2130204652980585,
      3.1019313875175607,
      2.9966343150129493,
      2.8971089241975516,
      2.8032585903488445,
      2.714903462977378,
      2.63180797355572,
      2.5537235903627855,
      2.4803940862280562,
      2.411556447069388,
      2.346942278866453,
      2.2862682097428277,
      2.2292165389465146,
      2.175406715864784,
      2.124490907013131,
      2.0761363121180905,
      2.030029645456099,
      1.9858954565320472,
      1.9435133341540725,
      1.9026986863062771,
      1.8632997125913149,
      1.8251963752197689,
      1.7882836409788205,
      1.7524691469833817,
      1.7176775971868121,
      1.6838465986949585,
      1.6509231669066138,
      1.6188612957975492,
      1.5876202583379755,
      1.5571634144723976,
      1.5274573650176317,
      1.4984714679576043,
      1.470179003575896,
      1.4425573985313307,
      1.4155860897835109,
      1.3892436842089506,
      1.3635099504810135,
      1.3383653755580962,
      1.3137909288639495,
      1.2897681801837884,
      1.2662793609377707,
      1.2433073914413524,
      1.2208358834715987,
      1.1988491281458604,
      1.1773320784788357,
      1.1562703239495506,
      1.1356505681251066,
      1.1154609602403036,
      1.095690140315885,
      1.0763272763905676,
      1.057361566768276,
      1.0387823025554217,
      1.0205789814583883,
      1.0027413737950166,
      0.9852595593834516,
      0.9681239448715838,
      0.9513252684864845,
      0.9348549499574482,
      0.9187049590101513,
      0.9028673747494796,
      0.88733443251391,
      0.8720985624158207,
      0.8571524105069797,
      0.8424888483962221,
      0.8281009748227092,
      0.8139821131227772,
      0.800125806372271,
      0.7865258107257999,
      0.7731760877658126,
      0.7600707970472793,
      0.7472042880546028,
      0.7345710924592261,
      0.7221659162356379,
      0.709983632841176,
      0.6980192763193898,
      0.6862680338931805,
      0.6747252402290002,
      0.6633863707917429,
      0.6522470363614242,
      0.6413029780573295,
      0.6305500609395981,
      0.6199842702574392,
      0.609601673382728,
      0.5993984047622832,
      0.5893707273082411,
      0.5795150282464517,
      0.569827807163274,
      0.5603056673183847,
      0.5509453084610108,
      0.541743521219164,
      0.5326971830325422,
      0.5238032537452804,
      0.515058772482624,
      0.5064613564304828,
      0.4980091745894326,
      0.48970013991389166,
      0.48153195733590026,
      0.4735022225185788,
      0.4656084842014508,
      0.457848283033081,
      0.4502191753871316,
      0.44271874806209344,
      0.43534462736939056,
      0.4280944833203927,
      0.42096603271180505,
      0.41395703988969573,
      0.4070654002551659,
      0.40028933370902275,
      0.3936270339813879,
      0.38707662030237483,
      0.3806361804709834,
      0.3743037979302913,
      0.36807756804235336,
      0.3619556085695595,
      0.35593606559169194,
      0.3500171169395392,
      0.3441970790522327,
      0.33847437218030413,
      0.33284738559963245,
      0.3273144958974772,
      0.32187408392573075,
      0.31652454506169686,
      0.31126429546762313,
      0.30609177988492237,
      0.3010054980745545,
      0.29600398105607745,
      0.2910857729380156,
      0.2862494362993835,
      0.281493555693159,
      0.27681673918842065,
      0.27221753625587175,
      0.2676943357738648,
      0.2632456157619241,
      0.258869962345521,
      0.2545660392675556,
      0.25033256824075123,
      0.24616831597704766,
      0.24207208564702035,
      0.2380427446446879,
      0.2340795310049505,
      0.23018178993712174,
      0.22634870503831123,
      0.22257936401274023,
      0.21887279998788475,
      0.21522801786127277,
      0.21164401109669476,
      0.2081197726605418,
      0.20465430169402563,
      0.20124660765259883,
      0.19789570562366013,
      0.19460054214647102,
      0.1913600577761113,
      0.18817325380650543,
      0.18503917597000788,
      0.18195690406129897,
      0.17892554550721806,
      0.17594423061995104,
      0.17301210978449627,
      0.17012835151477726,
      0.1672921406467402,
      0.16450267766835663,
      0.16175917802651438,
      0.15906087130793228,
      0.15640700104836022,
      0.15379682415306803,
      0.15122961064576437,
      0.14870464323630272,
      0.1462212171207489,
      0.1437786398606333,
      0.14137623101692112,
      0.13901332181184983,
      0.13668925509790966,
      0.13440338506774918,
      0.13215507695315656,
      0.12994370672484562,
      0.12776866125050107,
      0.1256293378882138,
      0.12352514421330109,
      0.12145549794872273,
      0.11941982669145619,
      0.11741756773350409,
      0.11544816797704603,
      0.11351108372107309,
      0.11160578042740343,
      0.10973173261156735,
      0.10788842373119285,
      0.10607534602127325,
      0.10429200018628162,
      0.10253789536209741,
      0.10081254892798301,
      0.09911548641601153,
      0.09744624128270366,
      0.09580435485999285,
      0.09418937610392222,
      0.09260086164952197,
      0.09103837554849047,
      0.08950148907041251,
      0.08798978069472276,
      0.08650283593356745,
      0.08504024730310268,
      0.08360159474690065,
      0.08218639832845964,
      0.08079419907510278,
      0.07942457266166446,
      0.07807711955878545,
      0.07675145837605378,
      0.07544722147141747,
      0.0741640523968654,
      0.07290160372266216,
      0.07165953584288298,
      0.0704375161946405,
      0.06923521840468982,
      0.06805232206628015,
      0.06688851242639589,
      0.06574348011934099,
      0.06461692104087774,
      0.06350853602887738,
      0.06241803096258853,
      0.061345116556306985,
      0.060289508310777146,
      0.059250926348765554,
      0.05822909536649956,
      0.05722374448101626,
      0.05623460728185711,
      0.05526142170204703,
      0.054303930007152855,
      0.0533618786639824,
      0.052435018135716174,
      0.05152310294344107,
      0.05062589163463563,
      0.0497431467862145,
      0.04887463466308928,
      0.048020125514252346,
      0.04717939317746859,
      0.046352215146474175,
      0.04553837260413315,
      0.044737650163972006,
      0.043949836000609824,
      0.04317472181842436,
      0.04241210259181208,
      0.041661776699933116,
      0.04092354572440795,
      0.04019721441826986,
      0.0394825906775939,
      0.03877948569355399,
      0.03808771360486754,
      0.03740709148024053,
      0.03673743946720204,
      0.036078580654016305,
      0.03543034085092662,
      0.03479254873757942,
      0.03416503573564314,
      0.03354763599356984,
      0.03294018658551185,
      0.032342526907127175,
      0.031754499130215365,
      0.031175947789664534,
      0.03060672013727384,
      0.030046665888439992,
      0.029495637042128136,
      0.028953488047095126,
      0.028420075658905954,
      0.027895259061090246,
      0.027378899702569032,
      0.026870861194787096,
      0.02637100937009653,
      0.025879212202377606,
      0.025395339882165194,
      0.024919264595095497,
      0.024450860689917885,
      0.02399000454925985,
      0.02353657444316708,
      0.023090450536263515,
      0.022651515213611192,
      0.022219652531297176,
      0.02179474846712749,
      0.02137669079858041,
      0.020965369304396932,
      0.020560675355043297,
      0.020162502098008784,
      0.01977074449730439,
      0.019385299144691864,
      0.019006064287301935,
      0.018632939835903438,
      0.018265827310010387,
      0.017904629840079695,
      0.017549251997789016,
      0.017199600071015883,
      0.0168555817537055,
      0.016517106223172515,
      0.016184084242061,
      0.01585642789118555,
      0.015534050670257246,
      0.015216867508661754,
      0.014904794743686625,
      0.014597749957808236,
      0.014295652100936826,
      0.013998421554191334,
      0.01370597991964512,
      0.013418249967184633,
      0.01313515576437009,
      0.01285662257575974,
      0.012582577040562088,
      0.012312946751230885,
      0.012047660529505243,
      0.01178664840791582,
      0.011529841425224282,
      0.011277172036762106,
      0.011028573524864953,
      0.010783980220736686,
      0.01054332748857786,
      0.010306551904568048,
      0.010073591020629031,
      0.009844383507719323,
      0.009618868819526357,
      0.009396987483129955,
      0.009178680820938194,
      0.008963891248626172,
      0.008752562042703922,
      0.008544637550545834,
      0.00834006293380853,
      0.00813878420783183,
      0.007940748296810853,
      0.00774590283198586,
      0.007554196512409041,
      0.007365578725047668,
      0.007179999772891063,
      0.006997410705087842,
      0.006817763347672542,
      0.006641010266860552,
      0.006467104805825334,
      0.006296001073190926,
      0.006127653972922138,
      0.00596201903365803,
      0.005799052526848213,
      0.005638711555796211,
      0.005480953830192407,
      0.005325737690919488,
      0.0051730221436781625,
      0.005022766869884436,
      0.004874932354641062,
      0.004729479566287241,
      0.004586370172266855,
      0.004445566318372418,
      0.004307030881176426,
      0.004170727335010769,
      0.004036619754790787,
      0.003904672700506625,
      0.0037748514152568316,
      0.003647121720596797,
      0.0035214498251345356,
      0.0033978025353934853,
      0.003276147303763182,
      0.003156451915945187,
      0.0030386848609590695,
      0.002922815124751686,
      0.0028088121323016466,
      0.00269664570945069,
      0.0025862863529914014,
      0.002477705019447643,
      0.002370873017446651,
      0.002265762123884129,
      0.0021623446833066483,
      0.0020605933274424415,
      0.001960481173159898,
      0.0018619819077244715,
      0.0017650695456307907,
      0.0016697185619242174,
      0.001575903715667134,
      0.0014836002434526043,
      0.0013927837493082598,
      0.0013034303890786028,
      0.0012155165731392186,
      0.0011290191091515587,
      0.0010439151237570657,
      0.0009601821890859229,
      0.0008777982664145269,
      0.0007967416705818701,
      0.0007169909657928411,
      0.0006385251296036684,
      0.0005613234130625568,
      0.0004853653927937879,
      0.0004106310945952111,
      0.00033710074290670773,
      0.00026475496969976674,
      0.0001935747637754732,
      0.00012354133903385542,
      5.463620046134464e-05,
      -1.3158756557022283e-05,
      -7.986155287439302e-05,
      -0.00014548974443979426,
      -0.0002100605677444852,
      -0.00027359114106817136,
      -0.0003360982071587518,
      -0.00039759821816862925,
      -0.00045810751463674026,
      -0.0005176420079951212,
      -0.0005762173703711794,
      -0.0006338490450340095,
      -0.000690552249961166,
      -0.0007463419102189758,
      -0.0008012327165973534,
      -0.0008552392534212032,
      -0.0009083757500957057,
      -0.0009606561945888695,
      -0.0010120943882610779,
      -0.0010627038473515,
      -0.0011124979132245347,
      -0.001161489811116996,
      -0.001209692517725884,
      -0.0012571186464905785,
      -0.0013037807519373952,
      -0.0013496910861771686,
      -0.0013948616149804575,
      -0.001439304383122717,
      -0.0014830311735489203,
      -0.0015260535218153191,
      -0.0015683827676965286,
      -0.0016100301188105147,
      -0.0016510065546709687,
      -0.0016913228190349613,
      -0.001730989550962227,
      -0.0017700172122085721,
      -0.0018084160455127992,
      -0.0018461962038392342,
      -0.0018833677776840313,
      -0.0019199405545895297,
      -0.001955924115031433,
      -0.0019913279207337906,
      -0.002026161345532445,
      -0.0020604336422589548,
      -0.0020941537626659686,
      -0.0021273306344085433,
      -0.002159972928901033,
      -0.0021920892860878686,
      -0.0022236882213241553,
      -0.002254778050622322,
      -0.002285366999536937,
      -0.002315463171803572,
      -0.0023450745431638047,
      -0.0023742088208467244,
      -0.002402873753660262,
      -0.0024310769207831267
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334685004322262,
      10.09339083684539,
      9.845710988517718,
      9.594477155130347,
      9.342185444396561,
      9.090989382269633,
      8.842677620171294,
      8.598669907950242,
      8.360015679137499,
      8.127407743888226,
      7.9012182251602505,
      7.6815447779810295,
      7.468262564950824,
      7.261077596684017,
      7.059577824357299,
      6.86327947894501,
      6.671667829292743,
      6.484230245022675,
      6.300482138331614,
      6.119986674058472,
      5.942365530972621,
      5.767296941855243,
      5.594525201248201,
      5.423879766854866,
      5.2552700952643585,
      5.088671185463706,
      4.924131560864656,
      4.761789168125367,
      4.601889863768609,
      4.444741215196968,
      4.290677281460714,
      4.140058890064595,
      3.993271482735632,
      3.8507026232892416,
      3.712718355505653,
      3.5796501735517046,
      3.4517852124999244,
      3.3293592811536703,
      3.212552419027221,
      3.101486922859337,
      2.996214109712193,
      2.896713084121216,
      2.8028866164497517,
      2.7145542178190354,
      2.631479931325071,
      2.5534151426166467,
      2.4801034645084026,
      2.4112817960482515,
      2.3466817764839356,
      2.2860199384164037,
      2.2289781221284724,
      2.1751758406964306,
      2.124265508992619,
      2.075914463183297,
      2.0298096731394164,
      1.9856760674808005,
      1.9432935738385932,
      1.9024778540182108,
      1.863077203618728,
      1.824971715582035,
      1.78805641738085,
      1.7522390545511586,
      1.7174444480465654,
      1.6836102861529327,
      1.6506836411361345,
      1.6186185457989712,
      1.587374300103886,
      1.5569142812077017,
      1.527205101867444,
      1.498216138572737,
      1.4699208455525792,
      1.4422967644131457,
      1.4153234432755637,
      1.3889793618638724,
      1.363244199867334,
      1.3380983727543567,
      1.313522802729696,
      1.2894990287990904,
      1.2660092618858187,
      1.24303640944228,
      1.2205640740447334,
      1.1985765411661633,
      1.177058759490831,
      1.1559963160356999,
      1.1353759318295498,
      1.1151857560780192,
      1.0954144304143316,
      1.0760511178924375,
      1.0570850088391859,
      1.0385053893271954,
      1.020301753636337,
      1.00246386994762,
      0.9849818162044477,
      0.9678459976858802,
      0.9510472005740809,
      0.9345769456814164,
      0.9184271597843724,
      0.9025898795423012,
      0.8870573130473852,
      0.8718218725489133,
      0.8568761926701385,
      0.8422131371402322,
      0.8278257997796745,
      0.8137075010795274,
      0.7998517819525268,
      0.7862523971327444,
      0.7729033073072193,
      0.7597986709610457,
      0.746932837059243,
      0.734300336656842,
      0.7218958756145258,
      0.7097143266994196,
      0.6977507233645283,
      0.6860002526873333,
      0.6744582488868939,
      0.6631201871007044,
      0.651981677918313,
      0.6410384620142802,
      0.6302864042751695,
      0.6197214895811035,
      0.6093397839161232,
      0.5991374213197919,
      0.5891106648349205,
      0.5792559015101977,
      0.5695696306432484,
      0.5600484550349858,
      0.5506890741280662,
      0.5414882783381654,
      0.5324429449803045,
      0.5235500335241483,
      0.5148065823108702,
      0.5062102906712818,
      0.49775933014427454,
      0.48945157987660387,
      0.4812847232566979,
      0.4732563420368984,
      0.4653639761334301,
      0.45760516038846927,
      0.44997744744542945,
      0.4424784216422596,
      0.4351057075260577,
      0.42785697405498896,
      0.4207299370642564,
      0.4137223602261323,
      0.40683215920631155,
      0.4000575580330401,
      0.3933967402974777,
      0.3868478184401267,
      0.38040887607877677,
      0.37407799371568107,
      0.3678532650244339,
      0.3617328065833773,
      0.3557147636454925,
      0.349797313399988,
      0.343978781530439,
      0.33825758813643664,
      0.3326321182017405,
      0.3271007456095684,
      0.32166184940861375,
      0.3163138237976813,
      0.31105508411081356,
      0.30588407539433804,
      0.30079929827474117,
      0.29579928261449034,
      0.2908825718811495,
      0.2860477280916865,
      0.2812933350947784,
      0.27661800065592723,
      0.27202027853771515,
      0.2674985579832259,
      0.26305131518075325,
      0.2586771349289776,
      0.2543746802048588,
      0.25014267216835356,
      0.24597987697148244,
      0.2418850974689657,
      0.23785719687288415,
      0.23389540728467148,
      0.2299990773928285,
      0.226167392856105,
      0.22239944276837664,
      0.21869426101679357,
      0.2150508529231363,
      0.21146821223109005,
      0.2079453320938663,
      0.20448121160578717,
      0.20107486033480335,
      0.1977252911347334,
      0.19443144758095537,
      0.1911922722501937,
      0.18800676751974812,
      0.18487397979297274,
      0.18179298948120642,
      0.1787629041678326,
      0.17578285437037283,
      0.17285199054990344,
      0.16996948109678922,
      0.16713451104433752,
      0.1643462808962452,
      0.1616040060092865,
      0.15890691598958862,
      0.15625425427249268,
      0.1536452777138847,
      0.1510792561916686,
      0.1485554725928301,
      0.14607322207918397,
      0.1436318120930389,
      0.14123056212401516,
      0.13886880347837918,
      0.1365458790124422,
      0.1342611428612309,
      0.1320139601623122,
      0.1298037069904684,
      0.12762977015285518,
      0.1254915469789273,
      0.12338844507290396,
      0.12131988209718939,
      0.1192852856064852,
      0.11728409299563933,
      0.11531575110302193,
      0.11337971621965624,
      0.11147545389273598,
      0.10960243870864832,
      0.10776015406060856,
      0.10594809208507083,
      0.1041657535060213,
      0.10241264745042222,
      0.10068829139364589,
      0.09899221086540264,
      0.09732393939929396,
      0.09568301829309166,
      0.0940689965545068,
      0.09248143075866651,
      0.09091988492533967,
      0.08938393053655434,
      0.08787314599445506,
      0.08638711681277914,
      0.08492543551500055,
      0.08348770133151054,
      0.0820735176185439,
      0.08068243497790116,
      0.07931398786435405,
      0.07796774995156257,
      0.0766433225091121,
      0.07534032667200574,
      0.07405839851748652,
      0.07279718588709745,
      0.07155634613692459,
      0.07033554466114463,
      0.06913445392571256,
      0.06795275272838969,
      0.06679012588610389,
      0.06564626375055417,
      0.0645208620049055,
      0.06341362157547782,
      0.062324248333861174,
      0.06125245300184815,
      0.06019795116957465,
      0.059160463048669516,
      0.058139713430250796,
      0.05713543160583803,
      0.056147351301925066,
      0.05517521051975302,
      0.054218751565972396,
      0.053277720937019823,
      0.05235186929900072,
      0.051440951416539545,
      0.05054472587395003,
      0.04966295527876746,
      0.04879540616836603,
      0.04794184875681438,
      0.04710205713140182,
      0.0462758089004909,
      0.04546288521129173,
      0.044663070879411244,
      0.04387615422406695,
      0.04310192704680796,
      0.042340184493191844,
      0.04159072490818151,
      0.04085334989460589,
      0.040127864412312864,
      0.039414076623482,
      0.03871179765756867,
      0.03802084169007167,
      0.037341026042407695,
      0.03667217095320614,
      0.03601409948868415,
      0.0353666375522321,
      0.03472961397541231,
      0.03410286043536269,
      0.033486211160817,
      0.032879503137592074,
      0.032282575962144885,
      0.03169527187696655,
      0.031117435529820922,
      0.03054891424502327,
      0.02998955775155032,
      0.029439218225556084,
      0.028897750170848526,
      0.028365010422890573,
      0.027840858263511233,
      0.027325155239634965,
      0.026817765137463905,
      0.026318553754806073,
      0.025827389254487697,
      0.025344141858337756,
      0.0248686839249714,
      0.024400889787325294,
      0.02394063583997538,
      0.023487800487934793,
      0.023042264205154005,
      0.022603909321118998,
      0.022172619941922492,
      0.02174828208021451,
      0.021330783698542882,
      0.020920014568271503,
      0.020515866057228712,
      0.02011823147413112,
      0.019727005822259048,
      0.019342085782729782,
      0.018963369684921745,
      0.018590757515486823,
      0.01822415081261027,
      0.017863452878250783,
      0.01750856842459039,
      0.017159403556954233,
      0.016815866188289924,
      0.016477865709871545,
      0.016145312757188068,
      0.015818119559337238,
      0.015496199747667024,
      0.015179468316147133,
      0.014867841631657434,
      0.014561237360512813,
      0.01425957446363111,
      0.013962773349853876,
      0.013670755677948739,
      0.013383444291262227,
      0.013100763296908855,
      0.012822638041646892,
      0.012548995200893979,
      0.012279762535307178,
      0.012014868862281113,
      0.011754244304628974,
      0.011497819991013682,
      0.01124552826916508,
      0.01099730266333169,
      0.010753077518033487,
      0.010512788357426405,
      0.010276371810614837,
      0.010043765413901793,
      0.009814907709231328,
      0.009589738289286207,
      0.009368197624112822,
      0.00915022729201822,
      0.008935769813823088,
      0.008724768605493318,
      0.008517167826103527,
      0.008312912731160148,
      0.008111949407025632,
      0.007914224756468097,
      0.007719686576591942,
      0.007528283589315287,
      0.007339965163888789,
      0.007154681677924753,
      0.006972384144503283,
      0.0067930244335000604,
      0.006616555267093605,
      0.006442930085170562,
      0.0062721029643737335,
      0.006104028908564238,
      0.0059386634622724185,
      0.005775963045228798,
      0.0056158846984292595,
      0.005458386119266851,
      0.005303425730880681,
      0.005150962646091154,
      0.005000956615055925,
      0.004853368108933445,
      0.004708158177642301,
      0.004565288347787692,
      0.0044247208596714625,
      0.004286418716312735,
      0.0041503453981402705,
      0.004016465037940464,
      0.003884742254405202,
      0.0037551422423355682,
      0.00362763078230386,
      0.0035021742273154124,
      0.0033787394977390687,
      0.003257294008864357,
      0.0031378057337773614,
      0.0030202430458656075,
      0.0029045749130941195,
      0.002790770940986741,
      0.002678800947868687,
      0.0025686354765832096,
      0.0024602454687080886,
      0.0023536022523883036,
      0.002248677601473608,
      0.0021454438601767076,
      0.002043873834370121,
      0.001943940672209817,
      0.0018456179431113134,
      0.0017488797121415784,
      0.0016537004382328297,
      0.0015600550203154209,
      0.0014679187557039173,
      0.0013772673324909752,
      0.0012880767593992839,
      0.0012003235006374413,
      0.0011139845426260723,
      0.0010290370235611942,
      0.0009454584173719041,
      0.0008632267568906227,
      0.0007823202995992263,
      0.0007027176457354147,
      0.0006243978005901734,
      0.0005473400858341952,
      0.0004715242364047555,
      0.0003969301745614184,
      0.0003235381984142314,
      0.00025132898057835874,
      0.00018028346728487816,
      0.00011038296219371353,
      4.1609046848618315e-05,
      -2.6056504315985222e-05,
      -9.263157931884772e-05,
      -0.00015813387528157885,
      -0.00022258054152194973,
      -0.00028598860958133147,
      -0.00034837487561913816,
      -0.00040975583910823584,
      -0.00047014765309182684,
      -0.0005295660921770507,
      -0.0005880269581117985,
      -0.0006455456516960976,
      -0.0007021374117340023,
      -0.0007578171075422127,
      -0.0008125994816078389,
      -0.0008664990868345904,
      -0.0009195300891416245,
      -0.0009717064058785276,
      -0.0010230418812532847,
      -0.0010735500670134902,
      -0.0011232443267655953,
      -0.0011721377865244855,
      -0.0012202433417487085,
      -0.0012675736826668737,
      -0.001314141305689704,
      -0.0013599584544455754,
      -0.0014050371106344313,
      -0.0014493892827296846,
      -0.001493026703394964,
      -0.001535960888029353,
      -0.0015782030656588772,
      -0.0016197645155674799,
      -0.0016606561854056064,
      -0.0017008888677712344,
      -0.0017404731025103285,
      -0.0017794193519591374,
      -0.0018177379653581461,
      -0.001855439105236879,
      -0.0018925326853862715,
      -0.0019290285816093882,
      -0.0019649363522793555,
      -0.0020002654606457865,
      -0.0020350251399118354,
      -0.0020692246396975776,
      -0.0021028729949277374,
      -0.0021359790677584383,
      -0.002168551696860945,
      -0.0022005994205243342,
      -0.002232130637233939,
      -0.0022631537024180273,
      -0.002293676872208746,
      -0.002323708132012663,
      -0.002353255406330749,
      -0.0023823265005573327,
      -0.002410929042719435,
      -0.0024390706977544512
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33468110174221,
      10.093377850351107,
      9.845683435364334,
      9.594430370151098,
      9.342116183197755,
      9.090895484593434,
      8.842557847711324,
      8.598523794457295,
      8.359843168988034,
      8.127209039708374,
      7.900993666074445,
      7.681294749867217,
      7.467987446615671,
      7.260777729275265,
      7.059253505332731,
      6.862930976459201,
      6.671295385689775,
      6.483834125920555,
      6.300062682716206,
      6.119544358745249,
      5.941901040355702,
      5.766811227012804,
      5.594019495805018,
      5.423355571829588,
      5.254729142579032,
      5.088115304917778,
      4.9235627731109926,
      4.761210195852456,
      4.601304077114225,
      4.4441520101558964,
      4.290088057209181,
      4.139473133712091,
      3.992692757188696,
      3.8501342833845023,
      3.712163495860295,
      3.5791115820361816,
      3.4512653280488994,
      3.3288601633893946,
      3.2120757312714687,
      3.101033886560775,
      2.995785403174372,
      2.896308838454224,
      2.802506353748563,
      2.7141968174915565,
      2.6311438790760135,
      2.5530988369719387,
      2.4798051399422385,
      2.41099959753024,
      2.3464138812862187,
      2.285764426868235,
      2.2287326107266963,
      2.1749380102042926,
      2.1240332874475922,
      2.07568591410758,
      2.029583120571984,
      1.985450217411653,
      1.9430674693740109,
      1.9022507899312673,
      1.8628486048399262,
      1.8247410928114294,
      1.7878233439930287,
      1.752003215112049,
      1.7172056467971726,
      1.6833684106794924,
      1.6504386364748391,
      1.618370395878242,
      1.5871230159995127,
      1.5566598929252478,
      1.5269476516291929,
      1.4979556868050334,
      1.4696576274749777,
      1.442031132086983,
      1.4150558596599252,
      1.3887101621740137,
      1.3629736301767073,
      1.3378266070559166,
      1.3132499681464396,
      1.2892252211806359,
      1.2657345572817793,
      1.2427608701281618,
      1.2202877533215624,
      1.1982994872897976,
      1.1767810169002226,
      1.155717926780101,
      1.135096955355286,
      1.1149062518030215,
      1.0951344589767378,
      1.0757707348197962,
      1.0568042625350578,
      1.0382243231102326,
      1.020020407053795,
      1.002182280075766,
      0.9847000184791505,
      0.9675640265187726,
      0.9507651569445555,
      0.934295021326922,
      0.918145485154017,
      0.9023085462645848,
      0.8867763873414921,
      0.8715414046037957,
      0.8565962225191887,
      0.8419336982124085,
      0.8275469208471846,
      0.8134292077259608,
      0.7995740977163108,
      0.7859753443295329,
      0.7726269070245101,
      0.7595229440056783,
      0.7466578036726517,
      0.7340260163712462,
      0.7216222874023941,
      0.7094414895698099,
      0.6974786559576384,
      0.6857289731642051,
      0.6741877750371985,
      0.6628505365434294,
      0.6517128677575018,
      0.6407705088165921,
      0.6300193245970692,
      0.6194552994700978,
      0.6090744984033666,
      0.5988730550966351,
      0.5888472322600298,
      0.5789934170409224,
      0.5693081085471853,
      0.5597879092984209,
      0.5504295183566067,
      0.5412297259549769,
      0.5321854087304203,
      0.5232935257591772,
      0.5145511153427543,
      0.5059559595001372,
      0.49750623176221276,
      0.4891997775097222,
      0.48103425830055974,
      0.47300724225067553,
      0.4651162601185935,
      0.45735884083616685,
      0.4497325333402145,
      0.4422349195322431,
      0.43486362211813623,
      0.42761630892601654,
      0.4204906950583423,
      0.41348454366634263,
      0.40659579360862125,
      0.3998226691085176,
      0.39316334375705647,
      0.38661592392626154,
      0.38017848898491763,
      0.37384911670735,
      0.3676258988851524,
      0.361506950796118,
      0.3554904167364604,
      0.34957447598419006,
      0.34375746226575365,
      0.33803779298346276,
      0.332413849369123,
      0.3268840028594379,
      0.32144663087939657,
      0.3161001266655064,
      0.31084290476142235,
      0.30567341055591657,
      0.3005901457436361,
      0.29559163899183727,
      0.2906764327836243,
      0.2858430886364936,
      0.2810901902153895,
      0.2764163448289703,
      0.2718201102773092,
      0.2672998756337331,
      0.26285411541852455,
      0.258481413467824,
      0.25418043202585444,
      0.249949891821653,
      0.24578855859508306,
      0.24169523495663375,
      0.23766877975486467,
      0.23370841931976066,
      0.22981350567655023,
      0.22598322661937686,
      0.2222166724387849,
      0.21851287779228523,
      0.2148708483854018,
      0.21128957826464081,
      0.20776806070325834,
      0.20430529498669595,
      0.200900290575932,
      0.1975520580745591,
      0.19425953824256267,
      0.1910216753935341,
      0.18783747323717825,
      0.18470597895644464,
      0.1816262734591998,
      0.17859746464496393,
      0.17561868321842009,
      0.17268907963518224,
      0.169807822379397,
      0.1669740964227458,
      0.1641871022225945,
      0.16144605526954056,
      0.15875018499368904,
      0.1560987346740016,
      0.1534909612192066,
      0.1509261346737476,
      0.1484035377978461,
      0.14592246558653865,
      0.14348222561171242,
      0.14108213740697947,
      0.1387215321924002,
      0.1363997526961947,
      0.1341161530288182,
      0.1318700984508251,
      0.12966096498304513,
      0.1274881394050232,
      0.12535101894283268,
      0.12324901128106829,
      0.12118153405418601,
      0.11914801476912391,
      0.11714789081618135,
      0.11518060916124466,
      0.11324562610703327,
      0.11134240709649897,
      0.10947042661589466,
      0.10762916821005683,
      0.1058181239928203,
      0.10403679482825427,
      0.10228468975200485,
      0.10056132620251028,
      0.09886622974552915,
      0.09719893398559967,
      0.0955589801800949,
      0.0939459173563372,
      0.09235930216917816,
      0.09079869872108756,
      0.08926367824248085,
      0.08775381932490241,
      0.08626870753083385,
      0.08480793535885393,
      0.08337110213757273,
      0.08195781378456575,
      0.08056768287514236,
      0.07920029937551328,
      0.07785520501045984,
      0.07653196837769373,
      0.07523018924464314,
      0.07394948982125989,
      0.0726895088882221,
      0.07144989794092818,
      0.07023031852608407,
      0.06903044068141061,
      0.06784994173166736,
      0.0666885055438242,
      0.06554582186383563,
      0.06442158612060665,
      0.06331549904411622,
      0.06222726640471906,
      0.061156599048005036,
      0.06010321243624878,
      0.05906682678611443,
      0.05804716702624372,
      0.05704396254087645,
      0.056056947072524364,
      0.05508585896608725,
      0.054130440605683165,
      0.05319043860504916,
      0.05226560372070429,
      0.05135569077790312,
      0.05046045863712287,
      0.04957966999441126,
      0.048713091390445246,
      0.047860493122589706,
      0.04702164928887106,
      0.04619633766501262,
      0.04538433961156949,
      0.04458544003887183,
      0.04379942744279803,
      0.043026093655142976,
      0.04226523383608749,
      0.041516646539335865,
      0.04078013354218922,
      0.04005549993939246,
      0.039342553912213245,
      0.03864110670694583,
      0.037950972637607716,
      0.03727196908110269,
      0.0366039163127904,
      0.03594663758840628,
      0.03529995902092728,
      0.034663709494247734,
      0.03403772058074459,
      0.033421826711199774,
      0.032815864948632485,
      0.03221967504553053,
      0.03163309937819604,
      0.031055982661936838,
      0.030488172305313387,
      0.029929518144818937,
      0.029379872456061936,
      0.028839089891995986,
      0.0283070273346247,
      0.027783544079937755,
      0.027268501796807742,
      0.02676176431039092,
      0.026263197642316417,
      0.025772669912770167,
      0.025290051575578218,
      0.024815214885565793,
      0.02434803441685158,
      0.02388838662921366,
      0.023436149995403215,
      0.022991204907193405,
      0.02255343376692236,
      0.022122720946997382,
      0.021698952556660964,
      0.02128201658624842,
      0.02087180289467052,
      0.02046820304359871,
      0.020071110337279686,
      0.019680419792639868,
      0.01929602821141991,
      0.01891783403048775,
      0.018545737260997893,
      0.018179639586437542,
      0.017819444251021985,
      0.017465056132169685,
      0.01711638143769656,
      0.016773328095252834,
      0.016435805474202262,
      0.016103724462817978,
      0.01577699724626578,
      0.015455537547652479,
      0.015139260429759311,
      0.014828082248269595,
      0.014521920730957958,
      0.014220695081359206,
      0.013924325725522534,
      0.013632734324499525,
      0.01334584379146014,
      0.013063578294793474,
      0.012785863348763167,
      0.012512625610475399,
      0.012243792852867837,
      0.011979294012492207,
      0.011719059171381073,
      0.011463019626408633,
      0.011211107791485517,
      0.010963257135989756,
      0.01071940216565269,
      0.010479478426296178,
      0.010243422543628448,
      0.010011172216339442,
      0.009782666067201474,
      0.009557843720185113,
      0.009336645722721065,
      0.00911901363679903,
      0.008904889905053207,
      0.00869421806396304,
      0.008486942509368876,
      0.008283008405748537,
      0.008082361852657588,
      0.007884949959449786,
      0.007690720523183696,
      0.007499622218269712,
      0.00731160461116413,
      0.007126618051630145,
      0.0069446136497039014,
      0.0067655432873131175,
      0.006589359721922708,
      0.006416016388610033,
      0.006245467465342395,
      0.006077667985788197,
      0.005912573637271961,
      0.005750140733227926,
      0.005590326302511493,
      0.005433088238946689,
      0.005278384938697585,
      0.0051261755632730725,
      0.004976419879169855,
      0.0048290783035715365,
      0.0046841120733066115,
      0.00454148284473614,
      0.004401152867599074,
      0.004263085123079294,
      0.0041272430577079895,
      0.00399359089779896,
      0.003862093260978785,
      0.0037327154308734313,
      0.0036054232524156565,
      0.0034801830615078023,
      0.0033569617883445297,
      0.003235726935598469,
      0.003116446565378264,
      0.0029990891357396156,
      0.0028836235294863915,
      0.002770019269233282,
      0.0026582463721461134,
      0.002548275283253568,
      0.002440077026693035,
      0.0023336230664150943,
      0.00222888519407837,
      0.002125835768307926,
      0.00202444754889475,
      0.0019246937360967095,
      0.0018265481264686644,
      0.0017299847298040188,
      0.0016349780425700228,
      0.0015415029796221234,
      0.001449534832873012,
      0.0013590491934171007,
      0.0012700222120164226,
      0.001182430365420883,
      0.0010962505803016045,
      0.0010114600790849645,
      0.0009280363796890801,
      0.0008459574679438015,
      0.0007652017365970877,
      0.000685747792308429,
      0.0006075746836661829,
      0.0005306617041098804,
      0.0004549886160749569,
      0.00038053547616251067,
      0.00030728255029652176,
      0.00023521049743005642,
      0.00016430030603369178,
      9.453323859508774e-05,
      2.589087251777687e-05,
      -4.164494019006047e-05,
      -0.00010809201713101905,
      -0.00017346790906946224,
      -0.0002377899306959134,
      -0.00030107503132171246,
      -0.0003633398613715615,
      -0.00042460099069431344,
      -0.0004848745343829946,
      -0.0005441764261966932,
      -0.0006025222582538996,
      -0.0006599275396860095,
      -0.0007164075091848254,
      -0.000771977074206959,
      -0.000826650818479187,
      -0.0008804431419493027,
      -0.0009333682791087213,
      -0.0009854401960312678,
      -0.0010366727023311429,
      -0.0010870793908661217,
      -0.0011366734239252408,
      -0.0011854679411679352,
      -0.001233475901221908,
      -0.0012807098782905838,
      -0.0013271824802727648,
      -0.0013729060167075877,
      -0.0014178924071503191,
      -0.001462153450542296,
      -0.0015057009478482292,
      -0.0015485464876679829,
      -0.001590701364342086,
      -0.0016321766862276966,
      -0.0016729835208984447,
      -0.0017131324932488153,
      -0.0017526342280491216,
      -0.0017914991498078658,
      -0.0018297376002410412,
      -0.0018673596943042346,
      -0.0019043752453500346,
      -0.0019407940709122576,
      -0.0019766257958616323,
      -0.0020118799028791836,
      -0.002046565610549928,
      -0.00208069211977512,
      -0.0021142685224199596,
      -0.0021473036271936956,
      -0.002179806185007192,
      -0.0022117848088777825,
      -0.0022432479123436016,
      -0.0022742037805406658,
      -0.00230466062201021,
      -0.002334626486266636,
      -0.00236410933356222,
      -0.0023931169899581387,
      -0.002421657031529161,
      -0.002449736966989528
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33467706562661,
      10.093364417373923,
      9.845654971183933,
      9.594382093571905,
      9.342044759221245,
      9.09079868363633,
      8.842434383909806,
      8.598373169381745,
      8.359665306708079,
      8.127004130187803,
      7.900762041134529,
      7.681036793216223,
      7.467703535451092,
      7.26046820554165,
      7.058918669056895,
      6.8625710973576926,
      6.670910705001606,
      6.483424909515244,
      6.299629271303191,
      6.119087232967823,
      5.9414208845851775,
      5.766308992822094,
      5.593496425552142,
      5.42281318554108,
      5.2541691961962576,
      5.087539651471934,
      4.922973464982361,
      4.760610012055647,
      4.600696462558409,
      4.443540439176913,
      4.289476012170421,
      4.138864192033388,
      3.9920905805832625,
      3.8495423252652814,
      3.7115849481642846,
      3.578549325416544,
      3.4507218882343524,
      3.3283376800823317,
      3.2115759395153978,
      3.1005580726502915,
      2.9953343015228757,
      2.8958826250684995,
      2.8021045824980098,
      2.71381838696976,
      2.630787283876767,
      2.552762477866754,
      2.4794872460805264,
      2.410698304634423,
      2.3461273534562928,
      2.285490724194531,
      2.228469322509118,
      2.1746827887591444,
      2.123784032602603,
      2.0754406623028796,
      2.0293401718571666,
      1.9852082556605506,
      1.9428255213747836,
      1.90200813905814,
      1.8626046859112786,
      1.8244953995102005,
      1.7875754343112589,
      1.751752759185955,
      1.7169524368089042,
      1.683112323163762,
      1.6501796061718217,
      1.6181083982400306,
      1.5868580543672361,
      1.5563919894318874,
      1.526676841484286,
      1.49768202380038,
      1.4693813429874922,
      1.4417525746553868,
      1.4147754898731217,
      1.3884283120618366,
      1.3626905421812547,
      1.3375424513066103,
      1.312964867677015,
      1.2889392683436964,
      1.2654478244604321,
      1.242473416015114,
      1.2199996284780448,
      1.1980107363393644,
      1.1764916811734982,
      1.1554280442050309,
      1.13480658195943,
      1.114615443509632,
      1.0948432742609,
      1.0754792272412923,
      1.0565124777905321,
      1.0379323019164608,
      1.0197281865905325,
      1.0018898951097923,
      0.9844075022200978,
      0.9672714113618333,
      0.9504725885998431,
      0.9340026715317913,
      0.9178534715305074,
      0.9020169516193406,
      0.8864852722163254,
      0.8712508152399328,
      0.8563061953696616,
      0.841644263505192,
      0.8272581051549588,
      0.813141034937745,
      0.7992865899406995,
      0.7856885223995855,
      0.7723407911660642,
      0.759237553780577,
      0.7463731578071614,
      0.7337421334622759,
      0.7213391858489833,
      0.7091591873418178,
      0.6971971702253636,
      0.6854483208066104,
      0.67390797298656,
      0.6625716014597705,
      0.6514348161005061,
      0.6404933565002282,
      0.6297430874229878,
      0.6191799928401461,
      0.6088001365388673,
      0.5985996519762058,
      0.5885748018616908,
      0.5787219730677335,
      0.5690376646282248,
      0.5595184788767925,
      0.5501611146977048,
      0.5409623617652431,
      0.5319190965565767,
      0.523028277744521,
      0.5142869848360629,
      0.5056930601309653,
      0.49724463843233724,
      0.48893953918156463,
      0.48077540739736835,
      0.4727498001537474,
      0.46486024145182997,
      0.4571042559916795,
      0.4494793895342639,
      0.44198322197209666,
      0.4346133746731717,
      0.4273675146111726,
      0.4202433562294719,
      0.41323866195417525,
      0.4063513945502639,
      0.39957977856734045,
      0.39292197732516376,
      0.3863760905785051,
      0.37994019358661973,
      0.3736123615108976,
      0.36739068432636063,
      0.36127327615340443,
      0.3552582805024071,
      0.3493438812274884,
      0.34352841847717197,
      0.3378103045266884,
      0.33218791748791826,
      0.32665962648543656,
      0.32122380760686914,
      0.3158788530440911,
      0.3106231766712608,
      0.30545522434023037,
      0.30037349878249814,
      0.29537652750229204,
      0.29046285219657686,
      0.28563103385340544,
      0.28087965570817575,
      0.2762073248253353,
      0.27161260198329773,
      0.26709387639699556,
      0.2626496213669032,
      0.2582784198076096,
      0.2539789332199285,
      0.24974988180154187,
      0.24559003103246987,
      0.24149818346936333,
      0.23747319358371483,
      0.23351428217489623,
      0.2296208046302209,
      0.22579195068934782,
      0.22202681192973242,
      0.21832442375528277,
      0.21468379237146507,
      0.2111039121427358,
      0.20758377642739945,
      0.20412238446397798,
      0.2007187457754034,
      0.19737186869345028,
      0.19408069079707088,
      0.19084415849579187,
      0.18766127660506673,
      0.18453109322946132,
      0.1814526896982458,
      0.17842517427883617,
      0.1754476777490321,
      0.17251935078756753,
      0.16963936176182223,
      0.1668068957395104,
      0.16402115327637792,
      0.16128134963898128,
      0.1585867144223113,
      0.15593649100095178,
      0.15332993619532034,
      0.1507663197896391,
      0.14824492452357887,
      0.14576504563023168,
      0.14332599050379152,
      0.14092707855469658,
      0.13856764102185,
      0.13624702070520206,
      0.1339645716489789,
      0.13171965890865908,
      0.12951165864992217,
      0.12733995777205295,
      0.12520395346841812,
      0.12310305320024346,
      0.12103667463157997,
      0.11900424546930258,
      0.11700520297807453,
      0.1150389940793466,
      0.11310507504168112,
      0.11120291151314525,
      0.1093319780111995,
      0.10749175795726588,
      0.10568174341508287,
      0.10390143525262634,
      0.10215034262679332,
      0.10042798294764611,
      0.09873388186999946,
      0.09706757293135028,
      0.09542859753457324,
      0.0938165046263462,
      0.09223085084704385,
      0.0906712003505,
      0.08913712447793709,
      0.08762820174982076,
      0.0861440177934352,
      0.0846841651297846,
      0.08324824312165953,
      0.08183585773598409,
      0.08044662155796761,
      0.07908015361645973,
      0.0777360734395449,
      0.07641394927282429,
      0.0751133416846148,
      0.07383384742248701,
      0.07257508869617646,
      0.07133670611473814,
      0.07011835431132425,
      0.06891969881013264,
      0.0677404139076786,
      0.0665801815410477,
      0.06543869046147978,
      0.06431563524211881,
      0.06321071623954572,
      0.062123638997459305,
      0.06105411418228681,
      0.060001857339829164,
      0.05896658877570554,
      0.05794803337337947,
      0.05694592070007076,
      0.05595998457623614,
      0.054989963271895766,
      0.05403559942061167,
      0.05309663964739915,
      0.052172834867188815,
      0.05126394004574113,
      0.050369714179298024,
      0.049489920006501105,
      0.04862432427515786,
      0.04777269737189451,
      0.046934813516116405,
      0.046110450694778995,
      0.045299390353530734,
      0.04450141741969158,
      0.043716320468483706,
      0.04294389153716207,
      0.042183925895413435,
      0.041436222197160776,
      0.04070058236475372,
      0.03997681153713424,
      0.039264718007845596,
      0.038564113079603723,
      0.03787481123265901,
      0.03719663001903136,
      0.0365293897458251,
      0.03587291368769279,
      0.035227028154750484,
      0.03459156211412233,
      0.03396634740080073,
      0.033351218347542975,
      0.032746012143697246,
      0.03215056863203928,
      0.031564730160808026,
      0.030988341788687177,
      0.0304212509275856,
      0.02986330751662755,
      0.02931436390634639,
      0.028774274771748876,
      0.02824289721219594,
      0.027720090784407892,
      0.02720571707443641,
      0.026699639938935097,
      0.026201725462291086,
      0.02571184205662734,
      0.025229860112295985,
      0.024755652069843044,
      0.0242890924234655,
      0.023830057821498524,
      0.0233784268252897,
      0.022934079866638733,
      0.022496899479583485,
      0.022066770088466362,
      0.02164357792133258,
      0.021227211074906605,
      0.020817559407239544,
      0.020414514642389296,
      0.020017970060567065,
      0.01962782081839318,
      0.01924396369074977,
      0.01886629725790321,
      0.018494721749987633,
      0.018129138847001278,
      0.01776945187873038,
      0.017415565700278697,
      0.017067386682115503,
      0.01672482280716524,
      0.016387783488488492,
      0.01605617965300196,
      0.015729923621473046,
      0.015408929095603523,
      0.015093111156667158,
      0.014782386333506153,
      0.014476672567946238,
      0.014175889045698341,
      0.013879956165587713,
      0.01358879576199688,
      0.013302330779100159,
      0.013020485394835184,
      0.012743185207294037,
      0.012470356961780837,
      0.012201928428856895,
      0.011937828636553738,
      0.011677987858840807,
      0.01142233733603899,
      0.011170809482200828,
      0.010923337880584224,
      0.010679857131405174,
      0.010440302811575115,
      0.010204611629066804,
      0.009972721295493165,
      0.009744570523281825,
      0.009520098938173254,
      0.009299247185707554,
      0.009081956990901564,
      0.00886817077073732,
      0.008657832075978814,
      0.008450885268016113,
      0.008247275726672084,
      0.008046949629584677,
      0.007849853963492871,
      0.007655936742600767,
      0.007465146607205388,
      0.007277433124936965,
      0.007092746808822529,
      0.006911038738783259,
      0.006732260897587522,
      0.006556366039731074,
      0.006383307582227012,
      0.006213039765358152,
      0.006045517574843574,
      0.005880696781420889,
      0.005718533849965264,
      0.005558985926982935,
      0.005402010845127165,
      0.00524756714240397,
      0.005095613981462021,
      0.004946111256819802,
      0.004799019449967941,
      0.004654299582382084,
      0.0045119134505994755,
      0.0043718234317041025,
      0.0042339925202098125,
      0.00409838422088762,
      0.003964962659912368,
      0.003833692654150137,
      0.003704539502913715,
      0.003577469010929153,
      0.0034524476464101533,
      0.0033294423844640723,
      0.0032084207042672947,
      0.0030893505442291026,
      0.002972200449766854,
      0.0028569393860880545,
      0.0027435369854280894,
      0.0026319633322699487,
      0.002522188954167501,
      0.0024141847251872217,
      0.002307922088475937,
      0.0022033731033710867,
      0.0021005100685739715,
      0.001999305763216733,
      0.0018997334862057879,
      0.00180176686247781,
      0.0017053800384206584,
      0.0016105475230587826,
      0.0015172442088973483,
      0.0014254454896695694,
      0.0013351270555772654,
      0.0012462650076590757,
      0.0011588358850046095,
      0.001072816629633085,
      0.0009881845663366456,
      0.0009049171924277738,
      0.000822992566897736,
      0.0007423890139171532,
      0.000663085241447432,
      0.0005850602960089642,
      0.0005082936710892615,
      0.00043276492129711486,
      0.00035845411010002363,
      0.0002853416360670283,
      0.00021340818145673088,
      0.00014263459824667018,
      7.300223368941517e-05,
      4.492761504629723e-06,
      -6.291197897119565e-05,
      -0.00012922981240313252,
      -0.00019447819557761513,
      -0.00025867443232274073,
      -0.00032183546799940607,
      -0.0003839779240436283,
      -0.00044511820778514693,
      -0.000505272487892564,
      -0.0005644567768712035,
      -0.0006226867523145219,
      -0.0006799777292604873,
      -0.0007363448411702417,
      -0.0007918030676519631,
      -0.0008463669687505628,
      -0.0009000510411111375,
      -0.0009528694441918284,
      -0.0010048361384559425,
      -0.001055964863891189,
      -0.0011062690667302286,
      -0.0011557620284541013,
      -0.0012044567972748286,
      -0.001252366264641124,
      -0.0012995032668824365,
      -0.0013458801774926083,
      -0.001391509171982202,
      -0.001436402434857799,
      -0.0014805718064968515,
      -0.0015240288551975091,
      -0.0015667851262564409,
      -0.001608851951658882,
      -0.00165024035478786,
      -0.0016909613544941456,
      -0.0017310257284834291,
      -0.0017704440683710511,
      -0.001809226693971698,
      -0.0018473838656357072,
      -0.0018849257990365435,
      -0.001921862336275114,
      -0.0019582032455230827,
      -0.0019939582083014465,
      -0.0020291366221523795,
      -0.0020637477267076597,
      -0.0020978006715672896,
      -0.002131304546014749,
      -0.0021642681094134336,
      -0.0021967000799404477,
      -0.002228609016014304,
      -0.0022600034201000854,
      -0.0022908915303702726,
      -0.0023212814737576747,
      -0.0023511814569328647,
      -0.0023805993469436164,
      -0.0024095427974754795,
      -0.0024380195524145837,
      -0.0024660371710107354
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334673114229334,
      10.093351148412019,
      9.845626834919177,
      9.594334398946813,
      9.34197424242014,
      9.09070317108389,
      8.842312630052126,
      8.598224701975631,
      8.359490068483245,
      8.126802323487869,
      7.900534005455565,
      7.680782918435638,
      7.467424202694239,
      7.260163758534012,
      7.058589408650688,
      6.862217294005347,
      6.6705326009470465,
      6.483022770602073,
      6.299203439121969,
      6.118638185202592,
      5.940949303504551,
      5.765815828079592,
      5.5929829088051815,
      5.422280825206407,
      5.253619734094356,
      5.086974928918839,
      4.922395518530087,
      4.760021589982632,
      4.600100966956047,
      4.442941298667627,
      4.288876661038491,
      4.138268154829538,
      3.991501460043183,
      3.8489635158853295,
      3.7110195835043296,
      3.578000230952338,
      3.4501915383176924,
      3.327828166631358,
      3.2110889542500916,
      3.1000948332586544,
      2.9948954815876005,
      2.8954683818395948,
      2.801714459546428,
      2.713451280649951,
      2.6304416922836142,
      2.5524368083747606,
      2.4791797367617963,
      2.410407102038708,
      2.3458506351449855,
      2.285226566912049,
      2.228215337826891,
      2.1744366511648163,
      2.1235436634516858,
      2.0752041185856522,
      2.029105770843351,
      1.9849746959734154,
      1.942591840120267,
      1.901773628001035,
      1.862368786991541,
      1.8242576136908948,
      1.787335325810896,
      1.751510004700463,
      1.7167068337778573,
      1.6828637528367618,
      1.6499280078178804,
      1.6178537514028744,
      1.5866003656923342,
      1.5561312845440927,
      1.5264131587744314,
      1.4974154201978311,
      1.4691120511464082,
      1.4414809446836006,
      1.414501983424216,
      1.388153268408459,
      1.3624142037804567,
      1.337264989082806,
      1.3126864052436078,
      1.2886598988475584,
      1.2651676213683405,
      1.2421924399267703,
      1.219717931389687,
      1.1977283643239898,
      1.1762086760876875,
      1.155144446355292,
      1.1345224487374819,
      1.114330832492494,
      1.094558244780825,
      1.075193834071825,
      1.0562267679273118,
      1.0376463169874444,
      1.0194419648436435,
      1.0016034725221765,
      0.9841209131885232,
      0.9669846888218502,
      0.9501858939184564,
      0.9337161709044387,
      0.9175672794306846,
      0.9017311491094938,
      0.8861999184137608,
      0.870965955418565,
      0.8560218661709116,
      0.8413604957781028,
      0.826974925651979,
      0.8128584676331587,
      0.7990046574832153,
      0.7854072462021412,
      0.7720601917358192,
      0.758957650806556,
      0.7460939708458165,
      0.7334636815435615,
      0.7210614874016873,
      0.708882260641025,
      0.6969210336774758,
      0.6851729924361447,
      0.6736334701424903,
      0.6622979410693697,
      0.651162014633609,
      0.6402214305090422,
      0.6294720527250272,
      0.618909865140656,
      0.6085309305443288,
      0.5983313817941035,
      0.5883074819506272,
      0.5784556175527942,
      0.5687722872952594,
      0.5592540933876006,
      0.5498977341616239,
      0.5406999992694626,
      0.5316577646722596,
      0.522767988712031,
      0.5140277942558892,
      0.5054350816932704,
      0.4969879455171237,
      0.48868417977470163,
      0.4805214131784981,
      0.4724971924716563,
      0.46460903476615967,
      0.45685446029357024,
      0.44923101203376975,
      0.4417362681094905,
      0.434367848508439,
      0.4271234192037226,
      0.4200006938823196,
      0.412997434603598,
      0.4061116276066973,
      0.3993414977402164,
      0.39268519845471966,
      0.3861408231365775,
      0.379706442700258,
      0.3733801295088664,
      0.3671599716361957,
      0.36104408208574756,
      0.3550306035569629,
      0.34911772463203117,
      0.34330379184135296,
      0.3375872123046189,
      0.3319663608695734,
      0.32643960466104516,
      0.3210053181178812,
      0.3156618925067373,
      0.31040774097235274,
      0.3052413101886857,
      0.3001611038505476,
      0.2951656483020602,
      0.2902534843550677,
      0.28542317240713677,
      0.28067329520266676,
      0.27600245938499485,
      0.27140922966496694,
      0.26689199535028657,
      0.26244922805559323,
      0.2580795097278288,
      0.2537815011931857,
      0.24955392209793076,
      0.24539553769443212,
      0.24130515008512535,
      0.23728160951073315,
      0.2333241309788658,
      0.2294320733455773,
      0.22560462831272504,
      0.22184088883716305,
      0.2181398911865551,
      0.21450064199328162,
      0.21092213584096134,
      0.20740336629004394,
      0.20394333261135433,
      0.20054104418892787,
      0.19719550721264203,
      0.1939056561978455,
      0.19067043948788476,
      0.18748886322352465,
      0.18435997625666473,
      0.1812828603934391,
      0.17825662423559632,
      0.175280398689709,
      0.17235333450392168,
      0.1694746001824906,
      0.16664338071082443,
      0.1638588766414793,
      0.16112030326548038,
      0.15842689003798544,
      0.15577788038524834,
      0.15317253102680503,
      0.15061011190586276,
      0.1480899055958979,
      0.14561120723823945,
      0.14317332424733561,
      0.14077557603151836,
      0.13841729381157164,
      0.13609782028263182,
      0.13381650950639912,
      0.1315727266907219,
      0.1293658478498603,
      0.12719525973854634,
      0.12506035969795232,
      0.12296055527947806,
      0.12089526416120656,
      0.11886391384735376,
      0.11686594170400065,
      0.11490079466987908,
      0.11296792904222817,
      0.1110668102479804,
      0.10919691289899852,
      0.1073577204827359,
      0.10554872524106741,
      0.10376942788089792,
      0.10201933766238908,
      0.10029797201340701,
      0.09860485634918255,
      0.09693952426286798,
      0.09530151720879398,
      0.09369038435961762,
      0.09210568233016955,
      0.09054697525798899,
      0.08901383456004047,
      0.08750583871442257,
      0.08602257336265294,
      0.08456363107445819,
      0.08312861110143349,
      0.08171711947947008,
      0.0803287688365222,
      0.07896317832236156,
      0.07761997331716224,
      0.07629878543530569,
      0.07499922424544887,
      0.07372085430752266,
      0.07246326573886704,
      0.07122607832613317,
      0.07000893311550024,
      0.06881148676878916,
      0.06763340802669424,
      0.06647437508587949,
      0.06533407415027599,
      0.06421219855030773,
      0.06310844765891493,
      0.06202252633312921,
      0.0609541449261066,
      0.059903018867960095,
      0.05886886845625886,
      0.057851418626357606,
      0.056850398904889396,
      0.05586554322707035,
      0.05489658990446704,
      0.05394328162155259,
      0.05300536530269121,
      0.05208259187075096,
      0.051174716325924775,
      0.05028149774176214,
      0.04940269901534861,
      0.04853808703913797,
      0.0476874323534496,
      0.04685050936970677,
      0.046027096092524894,
      0.0452169740022476,
      0.04441992828756855,
      0.04363574758322307,
      0.042864223953333155,
      0.042105152849439505,
      0.041358332947614845,
      0.04062356635480546,
      0.039900658436107364,
      0.0391894175216849,
      0.03848965508919482,
      0.0378011856622898,
      0.0371238267559428,
      0.03645739895084664,
      0.035801725706192486,
      0.035156633262836995,
      0.03452195068449183,
      0.033897509935179336,
      0.03328314558617901,
      0.03267869488284331,
      0.03208399775838321,
      0.03149889672409999,
      0.03092323676946765,
      0.030356865475885612,
      0.029799632879211602,
      0.029251391367140476,
      0.028711995846796935,
      0.028181303514906806,
      0.027659173770271196,
      0.027145468370149552,
      0.02664005150692185,
      0.026142789257779523,
      0.025653549970816033,
      0.025172204118742044,
      0.024698624263094722,
      0.024232685121867003,
      0.02377426333352017,
      0.0233232375213272,
      0.02287948827646332,
      0.022442898186665252,
      0.02201335177102134,
      0.021590735365047273,
      0.021174937057328855,
      0.020765846849253655,
      0.02036335654849269,
      0.019967359599949823,
      0.01957775119640168,
      0.01919442823661645,
      0.018817289277922505,
      0.018446234571392956,
      0.01808116586796612,
      0.01772198661258793,
      0.017368601756623983,
      0.017020917824236866,
      0.01667884271780299,
      0.016342286025095312,
      0.01601115878547629,
      0.015685373249443028,
      0.015364843253586533,
      0.015049483990703643,
      0.014739212090981883,
      0.014433945485964083,
      0.014133603360206276,
      0.01383810624166893,
      0.013547376039838499,
      0.013261335822121485,
      0.012979909925867074,
      0.012703023915953265,
      0.01243060450278217,
      0.012162579553705082,
      0.01189887824930953,
      0.011639430837209284,
      0.011384168695738101,
      0.011133024287359499,
      0.010885931137043581,
      0.010642823906173797,
      0.010403638378104613,
      0.01016831128971175,
      0.009936780274021624,
      0.009708984194359397,
      0.00948486272628011,
      0.009264356553744475,
      0.009047407466953459,
      0.008833958032045978,
      0.008623951703201037,
      0.008417332995124916,
      0.008214047335000288,
      0.008014040873999036,
      0.007817260664016657,
      0.007623654761578083,
      0.007433172011201511,
      0.007245761959481009,
      0.007061375012831175,
      0.006879962453039913,
      0.006701476277840604,
      0.006525869222498888,
      0.006353094828828609,
      0.006183107453433879,
      0.006015862095085113,
      0.005851314542680664,
      0.005689421252291847,
      0.005530139507250622,
      0.005373427040529517,
      0.005219242466862681,
      0.005067545094788102,
      0.004918294709707112,
      0.004771451880448544,
      0.00462697766435058,
      0.004484833969954827,
      0.004344983273627852,
      0.004207388529789605,
      0.004072013311634139,
      0.003938821763426224,
      0.0038077786953304143,
      0.003678849496096802,
      0.0035520000035263923,
      0.0034271966948159504,
      0.00330440657397749,
      0.003183597112470278,
      0.0030647363630802106,
      0.002947792859926414,
      0.002832735749618687,
      0.00271953452992554,
      0.0026081592418704894,
      0.0024985804920009996,
      0.002390769337083337,
      0.0022846973358674615,
      0.0021803363546978516,
      0.0020776587814775277,
      0.001976637455428618,
      0.0018772456814047673,
      0.0017794572078253885,
      0.001683246091741192,
      0.0015885869849706627,
      0.001495454786457153,
      0.001403824855583784,
      0.0013136729789861024,
      0.0012249753455325593,
      0.0011377085099452862,
      0.0010518494153889946,
      0.0009673753410720053,
      0.0008842639276200737,
      0.0008024931210296202,
      0.0007220412705715739,
      0.0006428870946117068,
      0.0005650097688322166,
      0.0004883887556124965,
      0.00041300367865507794,
      0.0003388346375649785,
      0.00026586191958147964,
      0.0001940662277231883,
      0.00012342871950528464,
      5.393059571470861e-05,
      -1.44464580614895e-05,
      -8.172050891471725e-05,
      -0.0001479093518025187,
      -0.00021303054773547792,
      -0.00027710137839821584,
      -0.00034013864021882205,
      -0.0004021590857247452,
      -0.0004631790885824964,
      -0.0005232147904971937,
      -0.0005822820564604725,
      -0.0006403964289602592,
      -0.0006975733226739096,
      -0.0007538279066019363,
      -0.0008091751383558781,
      -0.0008636296511367128,
      -0.0009172057856866414,
      -0.0009699177165622449,
      -0.0010217793042897145,
      -0.001072804315166298,
      -0.0011230062716362003,
      -0.0011723984164041534,
      -0.0012209937325423803,
      -0.0012688052809835526,
      -0.0013158456788685648,
      -0.0013621273085134065,
      -0.0014076623593475839,
      -0.0014524629333560598,
      -0.001496540818734702,
      -0.0015399076889646404,
      -0.0015825750341287056,
      -0.0016245541107208837,
      -0.0016658559537885496,
      -0.0017064915859325487,
      -0.0017464717423395476,
      -0.0017858070019055902,
      -0.0018245077272899637,
      -0.001862584130756906,
      -0.001900046352616778,
      -0.0019369043292041873,
      -0.0019731677937404293,
      -0.002008846219061771,
      -0.002043949122202238,
      -0.0020784858024025144,
      -0.0021124654606198595,
      -0.002145897025611688,
      -0.002178789379941175,
      -0.002211151102155104,
      -0.0022429907421692243,
      -0.002274316733930708,
      -0.0023051374858838324,
      -0.0023354611148749087,
      -0.0023652955482366574,
      -0.002394648707349726,
      -0.0024235284179710487,
      -0.0024519422818549226,
      -0.0024798978403250617
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334669249279246,
      10.093338082265282,
      9.845599086196717,
      9.594287367497708,
      9.341904737675016,
      9.090609075745007,
      8.842192739521199,
      8.598078575722246,
      8.359317671894729,
      8.126603872920011,
      7.900309849910016,
      7.680533450359979,
      7.467149803942438,
      7.259864773094816,
      7.058266136874914,
      6.861870005248295,
      6.670161538436024,
      6.48262820017509,
      6.298785699136428,
      6.118197752496112,
      5.940486856899693,
      5.765332312978856,
      5.592479561654519,
      5.421759143155139,
      5.253081444929052,
      5.0864218588874985,
      4.921829685452908,
      4.759445709799845,
      4.599518396865267,
      4.442355419406591,
      4.288290854298873,
      4.137685888298069,
      3.9909262753543184,
      3.848398744138712,
      3.710468296973593,
      3.5774651954110075,
      3.4496751713843734,
      3.3273325081663025,
      3.210615649326976,
      3.09964505011882,
      2.9944698512697894,
      2.8950670352577887,
      2.801336922753439,
      2.7130964434988925,
      2.6301080528126746,
      2.552122773832131,
      2.478883526923492,
      2.4101268527980833,
      2.345584542883253,
      2.2849727302572798,
      2.227971395928266,
      2.174200305528172,
      2.123312861993081,
      2.0749769437799976,
      2.028880559076249,
      1.9847501613558618,
      1.9423670331055007,
      1.901547848307326,
      1.8621414844986937,
      1.8240282976153308,
      1.7871035684561718,
      1.751275489286947,
      1.716469363560541,
      1.682623214671829,
      1.6496843464180142,
      1.6176069513369118,
      1.586350438671774,
      1.5558782605423103,
      1.5261570795662167,
      1.4971563464640258,
      1.4688502191633126,
      1.4412167361454529,
      1.4142358497740737,
      1.3878855442364815,
      1.362145127368859,
      1.3369947293335707,
      1.3124150863760415,
      1.2883876149234954,
      1.2648944465413923,
      1.2419184357871484,
      1.2194431508451562,
      1.1974528547630854,
      1.1759324814695478,
      1.1548676079722808,
      1.1342450258627377,
      1.1140528850537073,
      1.0942798339461308,
      1.0749150154596634,
      1.0559475894380586,
      1.0373668213990594,
      1.0191621915286533,
      1.001323458643572,
      0.9838406943757834,
      0.9667043525803093,
      0.9499056247949212,
      0.9334361062107117,
      0.9172875153959227,
      0.9014517553740038,
      0.8859209474723004,
      0.8706874486591869,
      0.8557438573856997,
      0.8410830141870717,
      0.8266979974816057,
      0.8125821173708012,
      0.7987289079461993,
      0.7851321191774816,
      0.7717857082246976,
      0.7586838311033502,
      0.7458208347070621,
      0.7331912486500535,
      0.7207897771497467,
      0.7086112918470461,
      0.6966508247287746,
      0.6849035613302188,
      0.673364834668085,
      0.6620301189278887,
      0.650895023220954,
      0.6399552866623663,
      0.6292067728668435,
      0.6186454652615918,
      0.6082674256165521,
      0.5980687866244656,
      0.5880458109058581,
      0.5781948852431249,
      0.5685125082348036,
      0.5589952813158904,
      0.5496399027052925,
      0.5404431617065082,
      0.5314019338921678,
      0.5225131774743825,
      0.5137740580646749,
      0.5051825332932454,
      0.49673665788651833,
      0.4884342007305068,
      0.4802727743590405,
      0.4722499152826594,
      0.46436313407356766,
      0.456609946435173,
      0.44898789255614113,
      0.44149454862466975,
      0.4341275332592598,
      0.42688451149195794,
      0.41976319641307974,
      0.4127613496444663,
      0.40587698026812413,
      0.39910831343286723,
      0.3924534927688339,
      0.3859106053137027,
      0.37947771798487956,
      0.37315290046464955,
      0.36693423929574653,
      0.3608198461245972,
      0.3548078626757413,
      0.34889648205586243,
      0.3430840573411508,
      0.3373689906456071,
      0.3317496532316525,
      0.32622441018144616,
      0.3207916348127473,
      0.31544971725725507,
      0.31019707016582565,
      0.3050321406468836,
      0.2999534333263505,
      0.2949594731765114,
      0.2900488003947104,
      0.28521997484157885,
      0.28047157893787755,
      0.27580221897206864,
      0.271210463514067,
      0.2666947021715026,
      0.2622534048269121,
      0.25788515222335134,
      0.25358860454383425,
      0.24936248090231258,
      0.24520554612620213,
      0.2411166021502968,
      0.23709449473709876,
      0.23313843299517856,
      0.22924777911595848,
      0.2254217270874821,
      0.22165937102278668,
      0.21795974803354007,
      0.21432186519657218,
      0.2107447174339129,
      0.20722729834737283,
      0.20376860732012475,
      0.20036765386825678,
      0.19702344186577736,
      0.19373490280732908,
      0.19050098708927204,
      0.18732070206913568,
      0.1841930972377354,
      0.18111725499855458,
      0.17809228405256228,
      0.1751173156195456,
      0.17219150048536017,
      0.16931400720246256,
      0.1664840207571097,
      0.1637007416289985,
      0.16096338513370814,
      0.15827118082910518,
      0.1556233720162313,
      0.15301921536609464,
      0.15045798067125105,
      0.14793895064572415,
      0.14546142030273002,
      0.14302469710443705,
      0.14062810046601437,
      0.1382709614912296,
      0.13595262288803125,
      0.13367243870120507,
      0.13142977410453494,
      0.12922400513018947,
      0.1270545184499989,
      0.12492071140518939,
      0.12282199152813686,
      0.12075777652203716,
      0.11872749389662864,
      0.11673058107989127,
      0.11476648492513312,
      0.11283466177635097,
      0.11093457716304415,
      0.1090657055690793,
      0.10722753046007133,
      0.10541954407278217,
      0.10364124713793064,
      0.10189214886045223,
      0.10017176684526295,
      0.09847962660559913,
      0.09681526170290743,
      0.09517821349361875,
      0.09356803113792292,
      0.09198427132384192,
      0.09042649816334407,
      0.08889428304413723,
      0.08738720458933327,
      0.08590484844829388,
      0.08444680715044521,
      0.08301268015799274,
      0.08160207349769306,
      0.0802145997977986,
      0.07884987802710859,
      0.07750753378750219,
      0.07618719869212702,
      0.07488851051916945,
      0.07361111061206671,
      0.07235459261972678,
      0.07111853631919221,
      0.0699025569195677,
      0.06870629411519397,
      0.06752940560495292,
      0.06637156258786328,
      0.06523244670373984,
      0.0641117481957312,
      0.06300916446171416,
      0.0619243992876961,
      0.06085716230201822,
      0.059807168461282846,
      0.05877413773066586,
      0.05775779501225682,
      0.05675786974790651,
      0.05577409595294716,
      0.05480621211398892,
      0.05385396093818981,
      0.05291708930592504,
      0.051995348357005575,
      0.0510884932395192,
      0.05019628315707942,
      0.049318481183194915,
      0.04845485425889803,
      0.047605173068092255,
      0.046769211990562325,
      0.04594674913934689,
      0.045137566252697575,
      0.04434144869260329,
      0.043558185110001216,
      0.042787567711033925,
      0.04202939206612498,
      0.04128345704651599,
      0.040549564846202535,
      0.03982752073062305,
      0.03911713321368929,
      0.0384182139036901,
      0.03773057747234721,
      0.037054041549632724,
      0.03638842680845629,
      0.03573355679338418,
      0.035089257938725894,
      0.03445535945790602,
      0.03383169328778879,
      0.03321809413265585,
      0.03261439935352993,
      0.032020448912159785,
      0.0314360853632808,
      0.03086115399690919,
      0.03029550243094165,
      0.029738980709726325,
      0.029191441468654017,
      0.028652739523529393,
      0.028122732200242816,
      0.0276012791651576,
      0.027088242226263826,
      0.026583485448110865,
      0.026086875224609972,
      0.025598279889845137,
      0.025117570030351807,
      0.02464461826481805,
      0.024179299394642705,
      0.02372149020677488,
      0.02327106949386621,
      0.02282791792345388,
      0.022391918098904298,
      0.021962954608659987,
      0.02154091380979198,
      0.02112568391732828,
      0.02071715498650101,
      0.02031521884469383,
      0.019919769081193243,
      0.019530700993030975,
      0.019147911486570055,
      0.01877129931619077,
      0.018400764719233617,
      0.01803620966775491,
      0.017677537700764676,
      0.0173246537050574,
      0.0169774642551893,
      0.016635877406195192,
      0.016299802829427338,
      0.01596915161107289,
      0.01564383614549625,
      0.015323770237161647,
      0.015008869182397609,
      0.014699049621949985,
      0.0143942295766014,
      0.014094328431076582,
      0.013799266783536516,
      0.013508966420195716,
      0.013223350536958558,
      0.012942343590607787,
      0.01266587109792473,
      0.012393859967237655,
      0.012126238186212479,
      0.011862934850990332,
      0.011603880320720374,
      0.011349006001737457,
      0.011098244397211517,
      0.010851529173244662,
      0.010608795042493228,
      0.010369977764160727,
      0.010135014127336622,
      0.009903841874820681,
      0.00967639987862633,
      0.009452627919255966,
      0.009232466773815716,
      0.009015858193594992,
      0.008802744790055456,
      0.008593070235868186,
      0.008386779043878983,
      0.008183816571951552,
      0.007984129158558536,
      0.007787663861150584,
      0.007594368770120607,
      0.007404192722453174,
      0.007217085355245817,
      0.0070329971817868365,
      0.006851879390790969,
      0.006673684074843025,
      0.006498364124964848,
      0.006325873179339522,
      0.00615616550502651,
      0.005989196263736219,
      0.005824921291275242,
      0.005663297077010137,
      0.005504280790182027,
      0.005347830334389106,
      0.00519390437323477,
      0.005042462123643992,
      0.0048934634565375255,
      0.004746869050977145,
      0.00460264009356759,
      0.004460738380606199,
      0.004321126371650817,
      0.004183767054767317,
      0.00404862410041615,
      0.003915661744098716,
      0.0037848448433953803,
      0.003656138886158819,
      0.003529509683170155,
      0.003404923692291327,
      0.0032823480901688984,
      0.0031617503252770384,
      0.003043098384492255,
      0.0029263609600038943,
      0.0028115072563431828,
      0.002698506825635721,
      0.002587329714698605,
      0.0024779464430290227,
      0.0023703281733115536,
      0.0022644464326733466,
      0.0021602731728666974,
      0.002057780889007216,
      0.0019569423972152227,
      0.0018577309567499019,
      0.001760120438819633,
      0.0016640849501388278,
      0.0015695990877426908,
      0.0014766377755956494,
      0.0013851764779314944,
      0.0012951908800508847,
      0.0012066572829845222,
      0.0011195521665636528,
      0.0010338525299913412,
      0.0009495357888193141,
      0.0008665795968844468,
      0.0007849620579271116,
      0.0007046614868289131,
      0.0006256566233968543,
      0.0005479266125712972,
      0.00047145086530464667,
      0.0003962091175870681,
      0.0003221813766065261,
      0.00024934810273430976,
      0.00017768998661291688,
      0.00010718807697808855,
      3.782384615180293e-05,
      -3.0421194438637526e-05,
      -9.756500048824606e-05,
      -0.00016362540279183453,
      -0.00022861983984027914,
      -0.0002925654708585999,
      -0.0003554792814544644,
      -0.00041737801016467687,
      -0.0004782780552913044,
      -0.0005381954565091226,
      -0.0005971461169789927,
      -0.0006551455793616062,
      -0.000712209150673063,
      -0.0007683518858252735,
      -0.0008235886913022354,
      -0.000877934186639538,
      -0.0009314027934889287,
      -0.0009840086458390606,
      -0.0010357657285048323,
      -0.0010866876709720284,
      -0.001136787851803313,
      -0.001186079648501328,
      -0.0012345760318810894,
      -0.0012822899288734793,
      -0.0013292339613549075,
      -0.001375420419412626,
      -0.0014208615579270577,
      -0.0014655694663110908,
      -0.0015095560078379289,
      -0.0015528328853875702,
      -0.0015954114901415744,
      -0.0016373030736927174,
      -0.0016785187030244056,
      -0.0017190692721128623,
      -0.0017589654938807565,
      -0.0017982178975753929,
      -0.0018368369403702278,
      -0.001874832851036808,
      -0.0019122157464563565,
      -0.0019489954614463803,
      -0.001985181740009402,
      -0.0020207841081694173,
      -0.002055812019649356,
      -0.0020902747401339806,
      -0.0021241812438162733,
      -0.0021575406048932005,
      -0.0021903617468451587,
      -0.0022226533439013373,
      -0.002254424020521214,
      -0.0022856820225275365,
      -0.0023164356569280948,
      -0.0023466930951961435,
      -0.0023764623163532086,
      -0.0024057511638682066,
      -0.0024345674019121246,
      -0.0024629186689956064,
      -0.00249081243199702
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33466525476746,
      10.093324670166755,
      9.845570694248869,
      9.594239326753017,
      9.341833803539535,
      9.090513090930841,
      8.842070471349237,
      8.597929562964818,
      8.359141865357095,
      8.126401481555156,
      7.9000812179977835,
      7.680278970787552,
      7.466869860927361,
      7.259559713252479,
      7.057936263573622,
      6.861515591015416,
      6.669782827336901,
      6.482225457830555,
      6.298359266256018,
      6.117748108007722,
      5.940014684691252,
      5.764838564565826,
      5.591965482812912,
      5.421226239975241,
      5.252531458245198,
      5.085856632998772,
      4.921251260932121,
      4.758856837471341,
      4.598922482225943,
      4.441755892563696,
      4.287691148952861,
      4.137089529355562,
      3.990336865388729,
      3.8478196771553526,
      3.7099027054234743,
      3.5769159018694965,
      3.449144646000024,
      3.326822839497864,
      3.210128525999188,
      3.099181678386379,
      2.9940308947031156,
      2.894652650659202,
      2.800946652690628,
      2.712729185802443,
      2.6297623070584604,
      2.5517969485408347,
      2.4785758220743648,
      2.409835387992537,
      2.345307510681081,
      2.284708220643461,
      2.227717032897166,
      2.1739537752999736,
      2.123072096526632,
      2.0747400085632535,
      2.028645772761148,
      1.9845162222955373,
      1.9421329806802972,
      1.9013129780554225,
      1.8619052420281472,
      1.8237901872478703,
      1.7868631566725346,
      1.7510324540284388,
      1.716223503594171,
      1.6823744124591724,
      1.6494325424325802,
      1.6173521253094005,
      1.5860925981029137,
      1.5556174309603854,
      1.5258932994401069,
      1.4968896724744232,
      1.4685808851764397,
      1.440945191497986,
      1.4139625200902048,
      1.387610746505534,
      1.3618690879311428,
      1.3367176086058108,
      1.3121370010394535,
      1.2881086541588944,
      1.2646146808847625,
      1.241637923385072,
      1.2191619418211148,
      1.197170994153388,
      1.175650011338977,
      1.15458456769236,
      1.133961472529191,
      1.1137688756215518,
      1.0939954276151858,
      1.0746302666500471,
      1.055662544776196,
      1.0370815228918238,
      1.0188766776376739,
      1.0010377650402267,
      0.9835548552429917,
      0.9664184678714702,
      0.9496198842363505,
      0.9331506386404713,
      0.9170024111432554,
      0.9011670799918233,
      0.885636750778697,
      0.8704037699184779,
      0.8554607289789936,
      0.8408004641881484,
      0.8264160509889773,
      0.812300797618182,
      0.7984482369390745,
      0.7848521176275862,
      0.7715063961067963,
      0.7584052284787688,
      0.745542960755525,
      0.7329141222158816,
      0.7205134168183123,
      0.7083357159343976,
      0.6963760511589348,
      0.6846296077816899,
      0.6730917183035396,
      0.6617578565707534,
      0.6506236315222097,
      0.6396847818257502,
      0.6289371710517981,
      0.6183767821626983,
      0.6079996756526628,
      0.5978019839477786,
      0.587779969969637,
      0.5779300200148334,
      0.568248632519657,
      0.5587324086664038,
      0.5493780463991305,
      0.5401823346149995,
      0.5311421486212378,
      0.5222544459892887,
      0.5135164354559159,
      0.5049261328094664,
      0.4964815523292149,
      0.4881804376979842,
      0.480020385434387,
      0.4719989215499155,
      0.4641135498889189,
      0.4563617818720336,
      0.4487411547614622,
      0.44124924277857097,
      0.43388366342101886,
      0.4266420807756444,
      0.41952220720556965,
      0.41252180386778575,
      0.4056389030418666,
      0.3988717301773111,
      0.39221841900951654,
      0.38567705018064136,
      0.37924568641262624,
      0.3729223948139748,
      0.3667052599956762,
      0.36059239243074753,
      0.3545819332431929,
      0.34867208008332445,
      0.3428611922629369,
      0.3371476666819226,
      0.33152987174942167,
      0.32600617028446155,
      0.32057493402277865,
      0.31523455214794954,
      0.30998343663486266,
      0.30482003554317505,
      0.29974285399291883,
      0.2947504159242114,
      0.2898412605466979,
      0.285013947306326,
      0.2802670582060518,
      0.2755991993512278,
      0.2710089411154308,
      0.2664946759248368,
      0.2620548718016529,
      0.25768810828614686,
      0.2533930446269578,
      0.24916839934364715,
      0.24501293695426435,
      0.24092545893395434,
      0.23690480675774392,
      0.23295018364703546,
      0.2290609551784797,
      0.22523631748481796,
      0.22147536597286535,
      0.2177771385320134,
      0.2141406428966682,
      0.2105648741458103,
      0.20704882602076127,
      0.20359149796265813,
      0.20019189948837549,
      0.19684903218930883,
      0.193561824622519,
      0.19032922910413078,
      0.18715025421365533,
      0.18402395028907767,
      0.18094940006838559,
      0.17792571257111625,
      0.17495201918677444,
      0.17202747074703548,
      0.16915123594864612,
      0.16632249975326463,
      0.16354046267570582,
      0.16080433999197283,
      0.15811336125933592,
      0.15546676964523637,
      0.15286382188993908,
      0.15030378783516637,
      0.14778595001408487,
      0.1453096035365719,
      0.1428740557550964,
      0.14047862594031138,
      0.13812264533966523,
      0.13580545666681718,
      0.13352641393614978,
      0.13128488229846344,
      0.12908023771289545,
      0.126911866854901,
      0.12477916713921498,
      0.12268154601250181,
      0.12061842110422272,
      0.11858922003326755,
      0.11659338006852547,
      0.11463034813758877,
      0.11269958058001235,
      0.11080054302659771,
      0.10893270994600517,
      0.10709556484962136,
      0.10528859990291786,
      0.10351131587677335,
      0.10176322197510582,
      0.1000438357283528,
      0.09835268271800682,
      0.09668929652519574,
      0.09505321871954098,
      0.09344399841056969,
      0.0918611922067075,
      0.09030436425711869,
      0.088773086014519,
      0.08726693611228475,
      0.08578550018069568,
      0.08432837084994155,
      0.08289514751364906,
      0.08148543626890443,
      0.08009884980059762,
      0.07873500721593774,
      0.07739353392729166,
      0.07607406164973227,
      0.07477622828764299,
      0.07349967774825576,
      0.07224405985955874,
      0.07100901411616037,
      0.06979412907616889,
      0.06859901040865315,
      0.06742329358468302,
      0.06626663534256734,
      0.06512870806264535,
      0.06400919572490331,
      0.06290779181893029,
      0.06182419764598145,
      0.060758121210298624,
      0.05970927655212402,
      0.058677383030121384,
      0.05766216519004642,
      0.05666335223900601,
      0.055680678141618124,
      0.054713881431863454,
      0.05376270479700477,
      0.052826895259304354,
      0.05190620396343686,
      0.05100038625645966,
      0.050109201395305565,
      0.04923241249489914,
      0.04836978657360009,
      0.0475210945273329,
      0.046686110880102855,
      0.04586461388836355,
      0.045056385449701815,
      0.04426121092363978,
      0.043478879146558035,
      0.04270918247649857,
      0.0419519165131905,
      0.04120688020663914,
      0.04047387583499323,
      0.039752708937890964,
      0.03904318820179834,
      0.0383451252620709,
      0.03765833497434446,
      0.036982635042928945,
      0.03631784611201525,
      0.03566379179782166,
      0.035020298713470746,
      0.034387196186932124,
      0.03376431635872262,
      0.03315149395319451,
      0.032548566473170754,
      0.03195537399173556,
      0.031371759227675364,
      0.03079756740201158,
      0.03023264628867472,
      0.029676846160596276,
      0.029130019675448645,
      0.02859202171964474,
      0.02806270971281738,
      0.02754194336206828,
      0.027029584616046824,
      0.026525497678678664,
      0.026029548974238068,
      0.02554160707648284,
      0.0250615425764616,
      0.024589228205896888,
      0.02412453880354009,
      0.023667351168942204,
      0.02321754421007969,
      0.02277499876852428,
      0.022339597579102966,
      0.021911225306880854,
      0.021489768401208722,
      0.021075115159741836,
      0.020667155653916643,
      0.020265781756261713,
      0.019870887206821154,
      0.019482367381188408,
      0.019100119339004847,
      0.01872404185301263,
      0.018354035222548706,
      0.017990001442563568,
      0.017631844080529264,
      0.017279468210176247,
      0.016932780484826843,
      0.016591689006909622,
      0.016256103495683093,
      0.01592593503513591,
      0.015601096221743287,
      0.015281500993560479,
      0.014967064623616065,
      0.01465770377577381,
      0.014353336572379258,
      0.014053882425840504,
      0.013759262072614327,
      0.013469397434052255,
      0.013184211666538048,
      0.012903629318123415,
      0.012627576019790544,
      0.012355978664794686,
      0.012088765248803169,
      0.01182586508390365,
      0.011567208553011405,
      0.011312727142333452,
      0.011062353445868284,
      0.01081602107301986,
      0.010573664788794948,
      0.010335220480485394,
      0.01010062498250271,
      0.009869816210333204,
      0.009642732993154076,
      0.009419315145630788,
      0.009199503524485945,
      0.00898323995532407,
      0.00877046713149607,
      0.008561128701220047,
      0.008355169192638234,
      0.008152534133295584,
      0.007953169823646414,
      0.00775702357796005,
      0.007564043371375237,
      0.007374178055600213,
      0.007187377348893992,
      0.007003591797780113,
      0.0068227727802059246,
      0.0066448722765468605,
      0.006469843272887109,
      0.0062976394044019215,
      0.006128215098293154,
      0.005961525521865768,
      0.005797526336409556,
      0.00563617425564239,
      0.005477426595388047,
      0.005321241359646098,
      0.005167577190858423,
      0.005016393322210661,
      0.004867649659335925,
      0.0047213067564770925,
      0.004577326024284666,
      0.004435669304711018,
      0.004296298963131209,
      0.004159178153938425,
      0.004024270625130073,
      0.003891540747690196,
      0.0037609532167254683,
      0.0036324734282240567,
      0.0035060674130646795,
      0.0033817016274427735,
      0.0032593431518678447,
      0.0031389596574870385,
      0.0030205192153540377,
      0.002903990521226431,
      0.0027893426835020134,
      0.002676545260974825,
      0.0025655685122247173,
      0.0024563830244694455,
      0.0023489599226739852,
      0.002243270628775379,
      0.0021392872456515834,
      0.0020369823269178167,
      0.001936328807181548,
      0.0018372998704387822,
      0.001739869251941126,
      0.0016440112494622327,
      0.0015497005207286392,
      0.0014569121112050576,
      0.001365621305086661,
      0.0012758039417676173,
      0.0011874363148010895,
      0.0011004950214025505,
      0.0010149569405633228,
      0.0009307995176972431,
      0.0008480005106227975,
      0.0007665379340450568,
      0.0006863902659765195,
      0.0006075362357980212,
      0.0005299550145461844,
      0.00045362598024618656,
      0.0003785288915507816,
      0.0003046439163372401,
      0.00023195155377955643,
      0.00016043253253513097,
      9.006789403428666e-05,
      2.0838943470464236e-05,
      -4.727262647554873e-05,
      -0.00011428480735426168,
      -0.00018021533928727642,
      -0.0002450817107128801,
      -0.0003089010551773487,
      -0.0003716903776544499,
      -0.0004334662269047084,
      -0.0004942449704725624,
      -0.0005540427062347788,
      -0.0006128751791714466,
      -0.0006707580150424227,
      -0.0007277065399232454,
      -0.0007837359359727002,
      -0.0008388610592628657,
      -0.0008930964342320583,
      -0.0009464564063640681,
      -0.0009989550840488297,
      -0.0010506064383459155,
      -0.0011014240780263286,
      -0.0011514213984268286,
      -0.001200611716715341,
      -0.0012490081014763547,
      -0.001296623277762256,
      -0.0013434698869988055,
      -0.0013895604348353116,
      -0.001434907123935848,
      -0.0014795218000344932,
      -0.0015234163166825201,
      -0.0015666023590138242,
      -0.0016090913878977016,
      -0.0016508946084159847,
      -0.0016920230905064137,
      -0.0017324876913379812,
      -0.001772299155255093,
      -0.0018114679968777641,
      -0.001850004669751751,
      -0.0018879193018545696,
      -0.0019252219835559237,
      -0.0019619225146092893,
      -0.001998030697192154,
      -0.002033556068655514,
      -0.0020685081111902716,
      -0.002102896034428784,
      -0.0021367289196307896,
      -0.002170015621834501,
      -0.0022027650210602206,
      -0.0022349858342666095,
      -0.0022666865925322385,
      -0.0022978756997930065,
      -0.002328561395991871,
      -0.0023587518404002555,
      -0.002388454933519073,
      -0.002417678577253349,
      -0.002446430534203711,
      -0.002474718337088679,
      -0.0025025495411656173
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334661055350969,
      10.093310744056728,
      9.84554139688934,
      9.594189912786737,
      9.341760967396606,
      9.090414629861453,
      8.841945120101506,
      8.597776839099682,
      8.358961707591364,
      8.12619409289141,
      7.899846943810575,
      7.6800182053500015,
      7.466582990719824,
      7.2592470866415155,
      7.057598185401587,
      6.861152336316058,
      6.669394642850371,
      6.481812613318207,
      6.297922106216429,
      6.117287115724596,
      5.939530549377969,
      5.764332244072051,
      5.591438233433724,
      5.420679579609928,
      5.2519671444488605,
      5.085276530332189,
      4.920657433906636,
      4.758252079784042,
      4.598310256811504,
      4.441139689879839,
      4.287074467135395,
      4.136475962001573,
      3.9897300906697017,
      3.847223163237389,
      3.709319656934185,
      3.5763492113894157,
      3.4485968495292503,
      3.3262960842134275,
      3.209624553904123,
      3.098701742853447,
      2.99357569951389,
      2.8942223836336014,
      2.8005408781151355,
      2.7123468122844745,
      2.629401837418761,
      2.551456788073658,
      2.478254163124387,
      2.409530340238742,
      2.345017255634237,
      2.2844308324340474,
      2.2274501131269977,
      2.1736949861947927,
      2.1228193469583374,
      2.074491341733407,
      2.028399486115629,
      1.9842709956934725,
      1.9418878398820794,
      1.9010672101536625,
      1.8616582857794666,
      1.8235415398314663,
      1.786612377509193,
      1.750779214349023,
      1.7159675956847897,
      1.6821157129144422,
      1.649170986039607,
      1.6170876871268496,
      1.585825280159762,
      1.5553472547140441,
      1.5256202990723045,
      1.4966139560171703,
      1.4683027099929724,
      1.4406649770045767,
      1.4136806695643154,
      1.3873275613992582,
      1.3615847833589705,
      1.3364323361794328,
      1.311850871146182,
      1.2878217501493194,
      1.2643270689301762,
      1.2413496584109258,
      1.2188730709402962,
      1.1968815601931835,
      1.1753600534609812,
      1.1542941231746586,
      1.133670596651239,
      1.1134776241825537,
      1.0937038582262546,
      1.0743384321409266,
      1.0553704903063543,
      1.036789288027362,
      1.018584298665806,
      1.0007452765058007,
      0.9832622895903168,
      0.9661259743734883,
      0.9493276321069499,
      0.9328587434108611,
      0.9167109542734871,
      0.9008761210248212,
      0.8853463348583053,
      0.8701139329751527,
      0.8551715013573938,
      0.8405118721118157,
      0.8261281182074354,
      0.8120135459668051,
      0.7981616866787133,
      0.7845662887863932,
      0.77122130833305,
      0.7581209006790344,
      0.745259411686091,
      0.7326313699177648,
      0.720231479031756,
      0.7080546101967815,
      0.6960957944851841,
      0.6843502170452967,
      0.672813210302409,
      0.6614802473961855,
      0.6503469373164722,
      0.6394090184616859,
      0.6286623540320858,
      0.6181029266370176,
      0.6077267956617942,
      0.5975300929029879,
      0.5875090812747525,
      0.5776601472483263,
      0.567979788897119,
      0.558464607512553,
      0.5491113004685158,
      0.5399166561415795,
      0.5308775496395693,
      0.521990938317775,
      0.5132540743135829,
      0.504665031675045,
      0.49622178413681434,
      0.48792205008533135,
      0.47976340965507214,
      0.4717433783989814,
      0.46385945347572255,
      0.45610914183861495,
      0.448489977869634,
      0.4409995339726656,
      0.4336354261922267,
      0.4263953177964863,
      0.41927692042174214,
      0.4122779946590249,
      0.40539659639397824,
      0.39863095132874304,
      0.3919791833342804,
      0.3854393666375681,
      0.37900955979816126,
      0.3726878269780674,
      0.3664722510432723,
      0.36036094125185864,
      0.3543520379205119,
      0.348443743265136,
      0.3426344232486331,
      0.3369224695280122,
      0.3313062472497215,
      0.3257841170812919,
      0.32035444936347424,
      0.3150156322904585,
      0.3097660772972316,
      0.30460423402840336,
      0.2995286071182618,
      0.2945377194479876,
      0.28963010961904967,
      0.28480433641912273,
      0.28005898155812214,
      0.27539265086671016,
      0.2708039164297339,
      0.2662911733602354,
      0.2618528878652464,
      0.2574876382492479,
      0.25319408304682234,
      0.24897094016086388,
      0.24481697370061714,
      0.24073098505162688,
      0.23671181128800065,
      0.23275864975749944,
      0.22887086952412977,
      0.22504766876384227,
      0.22128814421590856,
      0.21759133452164514,
      0.21395624790716938,
      0.21038187969619424,
      0.2068672238691278,
      0.2034112798588171,
      0.20001305730693622,
      0.19667155563354097,
      0.19338569994621557,
      0.19015444471789889,
      0.18697679979547716,
      0.18385181631968325,
      0.1807785775213586,
      0.17775619270586712,
      0.17478379348804576,
      0.1718605308268453,
      0.16898557344120307,
      0.16615810632387362,
      0.16337732997186968,
      0.16064245953024409,
      0.15795272451472847,
      0.15530736824148397,
      0.15270564730633746,
      0.1501468314752131,
      0.14763020327285553,
      0.14515505773426732,
      0.14272070224181538,
      0.14032645614898506,
      0.13797165064225375,
      0.13565562833752592,
      0.13337774329239288,
      0.13113736058064887,
      0.12893385619241624,
      0.12676661684660878,
      0.1246350397718929,
      0.12253853251380568,
      0.1204765127290675,
      0.11844840810048667,
      0.11645365592724712,
      0.11449170307010857,
      0.11256200586941874,
      0.11066402980142666,
      0.10879724946935136,
      0.1069611484270361,
      0.10515521880903078,
      0.10337896138988936,
      0.10163188543058044,
      0.09991350843872032,
      0.09822335600059631,
      0.0965609617681054,
      0.09492586719925424,
      0.0933176214653251,
      0.09173578139727723,
      0.0901799111212383,
      0.08864958201169679,
      0.08714437275283285,
      0.08566386891298343,
      0.0842076632432006,
      0.08277535520552932,
      0.08136655093887402,
      0.07998086318455185,
      0.07861791102881187,
      0.07727731997608871,
      0.07595872181034528,
      0.07466175434819637,
      0.07338606153817927,
      0.0721312931749762,
      0.07089710492464585,
      0.06968315820842808,
      0.06848908381800792,
      0.06731448097431164,
      0.06615897720573016,
      0.06502222575765192,
      0.06390389842304921,
      0.06280368072991672,
      0.06172126879081715,
      0.06065636723575753,
      0.059608687835466474,
      0.05857794868905296,
      0.05756387346750212,
      0.05656619100545681,
      0.05558463490604482,
      0.054618943471997417,
      0.05366885940333801,
      0.05273412975302723,
      0.05181450575596474,
      0.0509097427979127,
      0.05001960025671231,
      0.04914384131079875,
      0.04828223323299795,
      0.047434546977535526,
      0.046600557178875006,
      0.04578004216740864,
      0.04497278395162128,
      0.044178568083674825,
      0.04339718342714638,
      0.042628422484743814,
      0.041872081055435245,
      0.0411279582579251,
      0.04039585647402253,
      0.03967558124746828,
      0.03896694132524786,
      0.03826974852007351,
      0.037583817744116274,
      0.03690896694916945,
      0.03624501696102318,
      0.03559179146801646,
      0.03494911707145527,
      0.03431682330271799,
      0.03369474230809243,
      0.03308270901441744,
      0.032480560942750196,
      0.0318881383758239,
      0.03130528416055421,
      0.030731843564965132,
      0.03016766446288326,
      0.02961259719756364,
      0.029066494442176814,
      0.02852921147032466,
      0.028000605679189456,
      0.027480536776700707,
      0.026968866811688547,
      0.026465460143438972,
      0.025970183171943877,
      0.02548290467446905,
      0.025003495342814437,
      0.02453182808546553,
      0.02406777770197239,
      0.023611221233020768,
      0.02316203752339476,
      0.022720107511210938,
      0.02228531404833632,
      0.02185754172129849,
      0.021436677239405136,
      0.02102260904189917,
      0.020615227268284762,
      0.020214423926024103,
      0.01982009276660708,
      0.019432129276373868,
      0.01905043055352644,
      0.018674895330964492,
      0.018305424075989462,
      0.0179419188417668,
      0.017584283329129077,
      0.017232422725367378,
      0.01688624377784492,
      0.016545654765723096,
      0.016210565280375556,
      0.015880886558269445,
      0.01555653123446842,
      0.015237413363011319,
      0.014923448257860229,
      0.014614552689123464,
      0.014310644900127314,
      0.01401164424210221,
      0.01371747154538857,
      0.013428048738616982,
      0.013143299223589557,
      0.012863147498149785,
      0.01258751930581899,
      0.01231634158594609,
      0.012049542543471466,
      0.011787051360958287,
      0.011528798493408763,
      0.011274715592668716,
      0.011024735290095825,
      0.010778791282344283,
      0.010536818363791266,
      0.010298752495054422,
      0.01006453049468611,
      0.009834090370149534,
      0.009607370985420553,
      0.009384312317262314,
      0.009164855143590191,
      0.008948941415317229,
      0.008736513914047535,
      0.008527516358612038,
      0.008321893202927139,
      0.008119590149809527,
      0.00792055356873852,
      0.007724730743776862,
      0.007532069742819686,
      0.0073425194109572505,
      0.007156029589615227,
      0.0069725507988779335,
      0.006792034444006415,
      0.0066144327584643225,
      0.00643969866718549,
      0.006267785830851817,
      0.006098648673971645,
      0.005932242333282321,
      0.005768522825232044,
      0.005607446771248036,
      0.005448971526764195,
      0.00529305505831887,
      0.005139655912085502,
      0.004988733420231705,
      0.004840247719341318,
      0.004694159504757197,
      0.004550430035590544,
      0.004409021154267677,
      0.004269895486562674,
      0.004133016167836892,
      0.003998346869999301,
      0.0038658519068339487,
      0.0037354963232129807,
      0.003607245535021233,
      0.0034810655244759993,
      0.0033569227634060784,
      0.003234784349245909,
      0.00311461786919267,
      0.0029963916674602305,
      0.002880074320384108,
      0.0027656350026572787,
      0.002653043449233123,
      0.0025422697409459567,
      0.002433284562446014,
      0.0023260590744182768,
      0.0022205649021080527,
      0.0021167740619954557,
      0.0020146590303637695,
      0.0019141927048692707,
      0.0018153484891353638,
      0.0017181001565169801,
      0.0016224219381433301,
      0.0015282885105700845,
      0.0014356748963905174,
      0.0013445565889572393,
      0.00125490949435996,
      0.00116670981116204,
      0.0010799341661885439,
      0.0009945595926185377,
      0.0009105634780266373,
      0.0008279235519145309,
      0.000746617912930962,
      0.0006666249744809794,
      0.0005879235963718668,
      0.0005104930019241665,
      0.0004343125243718051,
      0.0003593620793406932,
      0.00028562179981611645,
      0.0002130721678261214,
      0.0001416940271118431,
      7.146842515892754e-05,
      2.376634097757841e-06,
      -6.559963644502227e-05,
      -0.00013247834306236758,
      -0.00019827719159336377,
      -0.0002630137704816134,
      -0.0003267052507977449,
      -0.00038936838358111226,
      -0.0004510197247660605,
      -0.000511675572884451,
      -0.0005713520776648068,
      -0.0006300650424263947,
      -0.0006878300117819022,
      -0.0007446623198655572,
      -0.0008005770423718473,
      -0.0008555889794480697,
      -0.0009097127328790018,
      -0.000962962674266379,
      -0.0010153528870898926,
      -0.0010668971773632981,
      -0.001117609312455517,
      -0.0011675026805570469,
      -0.00121659041335795,
      -0.0012648855329005144,
      -0.001312400901044112,
      -0.0013591491300045985,
      -0.001405142536331314,
      -0.0014503932847932306,
      -0.0014949134106500227,
      -0.0015387147459850817,
      -0.0015818089090896886,
      -0.0016242073563261924,
      -0.0016659212043927598,
      -0.001706961515842239,
      -0.0017473391578855582,
      -0.0017870649150557292,
      -0.0018261493154511713,
      -0.001864602627313534,
      -0.0019024350839852789,
      -0.0019396567839796855,
      -0.0019762774699268737,
      -0.002012306853062406,
      -0.0020477544923095227,
      -0.0020826296918746916,
      -0.002116941773140146,
      -0.002150699844089136,
      -0.0021839127968566103,
      -0.0022165895525916722,
      -0.0022487387656732016,
      -0.00228036888323309,
      -0.002311488286330254,
      -0.0023421053420762655,
      -0.00237222811189476,
      -0.0024018645105671247,
      -0.002431022356238693,
      -0.002459709439391625,
      -0.0024879333116257455,
      -0.0025157014743776756
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334656857064662,
      10.09329686748316,
      9.845512235045664,
      9.594140752613502,
      9.341688529816041,
      9.0903167311295,
      8.841820508589908,
      8.597625040493037,
      8.358782667266517,
      8.125988017500967,
      7.899614177569501,
      7.679759143802301,
      7.466298022076314,
      7.258936559870589,
      7.057262406193833,
      6.860791578766991,
      6.669009153297296,
      6.481402660600959,
      6.297488034611662,
      6.116829409351655,
      5.939049897908585,
      5.763829607104106,
      5.590914866586603,
      5.420136992056542,
      5.251407085143093,
      5.084700862656049,
      4.920068221150839,
      4.757652107989528,
      4.597702975408838,
      4.440528573298782,
      4.2864629950417745,
      4.1358677080985045,
      3.989128710001344,
      3.846632099985621,
      3.708742092035804,
      3.575788012911471,
      3.4480545311340034,
      3.3257747733835252,
      3.2091259735035447,
      3.0982271281949885,
      2.993125738390324,
      2.8937972520496165,
      2.8001401316959016,
      2.711969352640463,
      2.6290461641550658,
      2.5511213070264387,
      2.477937068630073,
      2.4092297454426106,
      2.344731345846244,
      2.2841576870209996,
      2.2271873406702754,
      2.173440257867261,
      2.1225705806125936,
      2.0742465876409093,
      2.0281570480986613,
      1.9840295608905292,
      1.9416464400153892,
      1.900825134072541,
      1.8614149734988854,
      1.82329649152584,
      1.786365155700453,
      1.7505294938036824,
      1.715715172176095,
      1.6818604658419556,
      1.6489128523426428,
      1.616826643496933,
      1.5855613312978223,
      1.5550804243472156,
      1.5253506230812248,
      1.4963415703515939,
      1.468027885966184,
      1.4403881208882576,
      1.4134021759723208,
      1.3870477253505593,
      1.36130381600607,
      1.3361503881382855,
      1.311568052880678,
      1.2875381455374229,
      1.2640427445006692,
      1.241064669266662,
      1.2185874650463038,
      1.1965953806226977,
      1.175073339667838,
      1.154006913020653,
      1.133382945825222,
      1.1131895885072185,
      1.093415496061741,
      1.0740497969195268,
      1.055081627891584,
      1.0365002390899936,
      1.0182951004841125,
      1.000455963734561,
      0.9829728954734975,
      0.9658366585242144,
      0.9490385587506595,
      0.9325700259156219,
      0.9164226728670191,
      0.9005883344820537,
      0.8850590880126992,
      0.8698272614917931,
      0.85488543499809,
      0.8402264370080689,
      0.8258433380441242,
      0.811729442791803,
      0.7978782819511164,
      0.7842836026558683,
      0.7709393604315828,
      0.75783970998304,
      0.7449789966461712,
      0.7323517489068259,
      0.7199526702482688,
      0.7077766312768926,
      0.695818663248641,
      0.6840739506291601,
      0.672537825402535,
      0.6612057607781453,
      0.6500733650194944,
      0.6391363762646035,
      0.6283906572219409,
      0.6178321902007662,
      0.6074570338077493,
      0.5972613194363331,
      0.5872413101675102,
      0.5773933920830701,
      0.5677140629636014,
      0.5581999236417758,
      0.5488476713412869,
      0.5396540944890741,
      0.5306160675717178,
      0.5217305478141107,
      0.5129948551456522,
      0.5044070870916171,
      0.4959651807711647,
      0.48766683144264034,
      0.47950960449938596,
      0.47149100608409467,
      0.4636085268973006,
      0.4558596700284953,
      0.4482419673756556,
      0.4407529895122361,
      0.4333903512944803,
      0.4261517150277179,
      0.41903479167963514,
      0.4120373508688808,
      0.4051574664563183,
      0.39839335501038325,
      0.39174313229843755,
      0.3852048674720789,
      0.3787766157237399,
      0.3724564392103661,
      0.3662424194311872,
      0.3601326646024714,
      0.35412531409989323,
      0.34821857478571666,
      0.34241081917526794,
      0.33670043393841703,
      0.33108578079390494,
      0.32556521842183606,
      0.32013711593167055,
      0.3147998605899397,
      0.3095518630230417,
      0.3043915743050469,
      0.29931749883476994,
      0.2943281583539413,
      0.2894220906978746,
      0.28459785433313084,
      0.2798540305681606,
      0.27518922493931053,
      0.2706020115024583,
      0.2660907880508008,
      0.26165401879198813,
      0.25729028087767497,
      0.2529982320585362,
      0.2487765897927836,
      0.24462411766087297,
      0.24053961668634258,
      0.23652191981620008,
      0.23257021826416807,
      0.2286838844733397,
      0.22486211878248094,
      0.22110401922917589,
      0.21740862533772523,
      0.21377494568923716,
      0.21020197601994225,
      0.2066887104753735,
      0.20323414864732292,
      0.19983730007549738,
      0.19649716175585236,
      0.19321265608441301,
      0.18998273934855134,
      0.18680642267665265,
      0.1836827579879789,
      0.1806108290200867,
      0.17758974537823746,
      0.17461863870688538,
      0.17169666014373502,
      0.168822978315394,
      0.16599677832773674,
      0.1632172606777617,
      0.16048364061318784,
      0.15779514756210633,
      0.1551510246511754,
      0.15255052857779552,
      0.14999292908037729,
      0.1474775086668902,
      0.14500356230168215,
      0.14257039737560442,
      0.14017733326578405,
      0.13782370099982746,
      0.13550884318874917,
      0.13323211380920727,
      0.13099287815939184,
      0.1287905121427052,
      0.12662440242271766,
      0.12449394627371868,
      0.12239855120964299,
      0.12033763484768528,
      0.11831062477856542,
      0.11631695837869242,
      0.11435608257696599,
      0.11242745367775309,
      0.1105305372012275,
      0.10866480781061214,
      0.10682974903393844,
      0.10502485302140056,
      0.10324962050901292,
      0.10150356078537905,
      0.0997861914007331,
      0.0980970379674682,
      0.09643563413419344,
      0.09480152137056004,
      0.09319424879804536,
      0.09161337329476277,
      0.09005845901664036,
      0.08852907736345952,
      0.08702480705918791,
      0.0855452337961779,
      0.08408995023842322,
      0.0826585558738676,
      0.08125065691972595,
      0.07986586609240375,
      0.07850380252783494,
      0.0771640917979204,
      0.07584636570165683,
      0.07455026216456524,
      0.07327542515082211,
      0.07202150457154821,
      0.0707881561001273,
      0.06957504112297015,
      0.06838182671128899,
      0.06720818300301634,
      0.0660537368404284,
      0.06491810218796285,
      0.06380092525936487,
      0.06270187499921347,
      0.061620636693847985,
      0.06055690794402691,
      0.059510396078090805,
      0.05848081634259713,
      0.05746789049519806,
      0.056471346261977716,
      0.055490916495668806,
      0.05452633917712709,
      0.05357735674888753,
      0.05264371618768183,
      0.05172516872175473,
      0.050821469650048065,
      0.04993237831992929,
      0.04905765814235119,
      0.04819707643775957,
      0.04735040424955546,
      0.04651741647642978,
      0.0456978915743361,
      0.044891611685305755,
      0.04409836234765317,
      0.043317932709395955,
      0.0425501153410537,
      0.04179470612900194,
      0.04105150430835592,
      0.04032031232437265,
      0.03960093583304385,
      0.038893183787587875,
      0.03819686810749429,
      0.037511803741310065,
      0.036837808737450586,
      0.03617470414890889,
      0.035522313818988474,
      0.034880464419619624,
      0.03424898562158384,
      0.033627709633209574,
      0.03301647144922927,
      0.03241510874738623,
      0.031823461884510254,
      0.031241373826696024,
      0.03066868997494759,
      0.030105258235825837,
      0.029550928942144495,
      0.029005555146528583,
      0.028468992021347478,
      0.027941097183546523,
      0.027421730474936835,
      0.02691075401881531,
      0.026408032233980742,
      0.025913431699071766,
      0.0254268211460491,
      0.024948071436379872,
      0.02447705548218569,
      0.024013648359611638,
      0.023557727144249,
      0.02310917076101864,
      0.022667860241769807,
      0.022233678418582824,
      0.021806510190414928,
      0.021386242193002995,
      0.020972762953252844,
      0.02056596274523615,
      0.020165733580235146,
      0.01977196930545258,
      0.019384565538159503,
      0.01900341937737194,
      0.01862842982813166,
      0.018259497361020546,
      0.01789652416465985,
      0.01753941399152761,
      0.017188072105188492,
      0.016842405265239512,
      0.01650232178180548,
      0.016167731429619074,
      0.015838545469696444,
      0.015514676549482142,
      0.015196038723225882,
      0.014882547674710435,
      0.014574120138486597,
      0.014270674419647888,
      0.013972129984345567,
      0.013678407532082685,
      0.013389429180922275,
      0.013105118371896672,
      0.012825399772477094,
      0.012550199159210927,
      0.012279443457396004,
      0.012013060969764627,
      0.011750980980705926,
      0.01149313406418767,
      0.011239451817723015,
      0.010989866874045188,
      0.010744313126475226,
      0.010502725488919661,
      0.01026503979936124,
      0.010031193159858242,
      0.009801123575333678,
      0.009574769920154812,
      0.009352072118199337,
      0.009132971116985163,
      0.008917408897861452,
      0.008705328254636099,
      0.00849667302706965,
      0.008291387874109409,
      0.008089418343150481,
      0.00789071087257345,
      0.0076952127468778095,
      0.007502872246198732,
      0.007313638201402261,
      0.007127460461555246,
      0.0069442897858740145,
      0.006764077523172991,
      0.006586775923736905,
      0.006412337920099713,
      0.006240717336568058,
      0.006071868612670042,
      0.005905746923227895,
      0.00574230831426004,
      0.0055815094158323765,
      0.005423307602740177,
      0.005267660928906141,
      0.005114528185419263,
      0.004963868668755096,
      0.004815642453745058,
      0.004669810274897465,
      0.00452633342309451,
      0.004385173873741857,
      0.00424629420096494,
      0.0041096575198429144,
      0.0039752276723325295,
      0.0038429689963083496,
      0.003712846503732212,
      0.0035848256987046656,
      0.003458872499288723,
      0.003334953561656322,
      0.0032130360348639245,
      0.0030930876545994137,
      0.0029750765460933664,
      0.0028589714553511995,
      0.0027447416270361736,
      0.002632356696205123,
      0.00252178677875403,
      0.0024130026152159516,
      0.002305975366595284,
      0.0022006767048631387,
      0.0020970787143629347,
      0.0019951539986589697,
      0.0018948755093119475,
      0.0017962166240125938,
      0.0016991511185997523,
      0.001603653261237736,
      0.0015096978450409543,
      0.001417259885363422,
      0.0013263149162989745,
      0.001236838862847391,
      0.0011488080099302336,
      0.0010621988455397652,
      0.00097698844591122,
      0.0008931542960982539,
      0.0008106741444101248,
      0.0007295260742602171,
      0.0006496885452824556,
      0.0005711404104202828,
      0.0004938609283636346,
      0.00041782966945371717,
      0.00034302641638654554,
      0.0002694313392444858,
      0.00019702484131224474,
      0.00012578776853503204,
      5.5701302398291616e-05,
      -1.3253190492592244e-05,
      -8.109402116972378e-05,
      -0.00014783915511377998,
      -0.00021350627645615145,
      -0.00027811271078859954,
      -0.0003416756971282437,
      -0.0004042121563860531,
      -0.00046573859878575106,
      -0.000526271258687652,
      -0.0005858262537734822,
      -0.0006444194001656879,
      -0.0007020662555257367,
      -0.0007587820782864158,
      -0.0008145819957842431,
      -0.0008694807581172162,
      -0.000923492758079096,
      -0.0009766323739027946,
      -0.001028913682116045,
      -0.001080350601846955,
      -0.0011309568096547749,
      -0.0011807456976388872,
      -0.001229730470819204,
      -0.0012779240650953713,
      -0.0013253392553795752,
      -0.0013719886295185432,
      -0.0014178846439811832,
      -0.0014630394500759814,
      -0.0015074649609133942,
      -0.0015511729424920952,
      -0.0015941749073502248,
      -0.0016364823505881855,
      -0.0016781064832923846,
      -0.0017190583528777514,
      -0.0017593487337872885,
      -0.0017989884242479548,
      -0.001837987887922387,
      -0.0018763574985802218,
      -0.0019141073579905564,
      -0.001951247577613008,
      -0.001987787974582818,
      -0.0020237382565677234,
      -0.0020591078628099144,
      -0.0020939061664524486,
      -0.002128142415945499,
      -0.00216182573961858,
      -0.0021949651241064843,
      -0.002227569322597011,
      -0.0022596469146045654,
      -0.002291206422359511,
      -0.0023222561659480678,
      -0.0023528043852679625,
      -0.0023828591768698796,
      -0.0024124285384733413,
      -0.00244152040675131,
      -0.0024701424716854167,
      -0.0024983021885011517,
      -0.0025260070739813595
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33465268054286,
      10.093283062046092,
      9.845483218148228,
      9.594091831469537,
      9.34161643790721,
      9.090219293948081,
      8.841696480373683,
      8.597473948789126,
      8.358604456165699,
      8.12578289285864,
      7.899382484137202,
      7.679501275567495,
      7.466014364483286,
      7.258627462885064,
      7.056928175466935,
      6.86043248881794,
      6.668625451262047,
      6.480994617163093,
      6.2970559948897415,
      6.116373856962978,
      5.93857152024042,
      5.763329364957402,
      5.590394018454803,
      5.419597047900404,
      5.250849793165159,
      5.084128085514462,
      4.919482019408246,
      4.757055261562191,
      4.59709892387108,
      4.439920780370511,
      4.285854928116556,
      4.135262926927515,
      3.988530854369548,
      3.8460445980612694,
      3.7081681088130414,
      3.575230402579688,
      3.447515792785183,
      3.325257020461676,
      3.2086309160774835,
      3.0977559901095564,
      2.9926791969430404,
      2.893375474042368,
      2.7997426654812694,
      2.7115950951281462,
      2.628693611845089,
      2.550788864557677,
      2.477622931405499,
      2.4089320284136737,
      2.3444482371574473,
      2.283887268909782,
      2.226927227677398,
      2.173188126635396,
      2.1223243533573384,
      2.0740043193756827,
      2.0279170502060824,
      1.983790527262903,
      1.9414074059347353,
      1.9005853900499756,
      1.8611739628008404,
      1.8230537177219877,
      1.7861201844502363,
      1.7502820017693836,
      1.7154649565322688,
      1.681607407491504,
      1.6486568901735406,
      1.6165677565315244,
      1.585299525667231,
      1.5548157241962803,
      1.5250830649578602,
      1.4960712909098826,
      1.4677551574049739,
      1.4401133497243666,
      1.4131257575869411,
      1.3867699566557616,
      1.3610249090309536,
      1.3358704935564358,
      1.3112872812018455,
      1.2872565804637104,
      1.2637604529195312,
      1.240781707270007,
      1.2183038816033818,
      1.1963112192112595,
      1.1747886409150667,
      1.1537217151500547,
      1.1330973052918947,
      1.1129035615888812,
      1.0931291411061508,
      1.0737631674344996,
      1.0547947695944342,
      1.0362131927366969,
      1.018007903615273,
      1.0001686513897408,
      0.9826855585710003,
      0.9655494817421196,
      0.9487516752110083,
      0.9322835285973033,
      0.9161366286650706,
      0.9003027938285217,
      0.8847740907378387,
      0.8695428403612101,
      0.854601618306307,
      0.8399432498780761,
      0.8255608037066963,
      0.8114475829841649,
      0.7975971172486135,
      0.7840031533234444,
      0.7706596458383169,
      0.7575607490971557,
      0.7447008084924519,
      0.7320743520722319,
      0.7196760825540653,
      0.7075008707108666,
      0.6955437472077157,
      0.6837998963980081,
      0.6722646501384427,
      0.660933480978288,
      0.6498019969179082,
      0.6388659358125772,
      0.6281211599321296,
      0.617563651541263,
      0.6071894678064793,
      0.5969947399455244,
      0.5869757309736603,
      0.5771288269332014,
      0.567450525508268,
      0.557937427166946,
      0.5485862288486338,
      0.5393937185134685,
      0.5303567704750263,
      0.5214723412320736,
      0.5127378333067202,
      0.5041513464563453,
      0.49571078415191994,
      0.4874138199957672,
      0.4792580055440437,
      0.47124083786654397,
      0.46335980194567855,
      0.4556123971595164,
      0.44799615274142823,
      0.4405086375825221,
      0.4331474654455406,
      0.4259102978432039,
      0.4187948451668788,
      0.41179888890135763,
      0.4049205188992215,
      0.39815794020666756,
      0.3915092611198499,
      0.3849725459367096,
      0.3785458467781123,
      0.37222722368216193,
      0.3660147568441283,
      0.35990655352411494,
      0.35390075257169834,
      0.3479955655288874,
      0.3421893712424504,
      0.3364805513641026,
      0.33086746440745995,
      0.32534846705934894,
      0.3199219268101657,
      0.31458622985104534,
      0.3093397863594022,
      0.3041810489432816,
      0.29910852169237784,
      0.2941207253763632,
      0.28921619707972074,
      0.28439349468346226,
      0.27965119902039376,
      0.27498791542264556,
      0.2704022200959397,
      0.2658925137053023,
      0.2614572584728695,
      0.2570950302090845,
      0.2528044857310367,
      0.24858434192724554,
      0.24443336210546454,
      0.24035034697997393,
      0.23633412878046642,
      0.2323838903774992,
      0.22849900405271575,
      0.22467867309580422,
      0.22092199739651558,
      0.21722801761977517,
      0.21359574314790042,
      0.21002416999014262,
      0.20651229248198477,
      0.20305911024513465,
      0.19966363293019854,
      0.19632485546093165,
      0.19304169735316146,
      0.1898131168832621,
      0.18663812624185483,
      0.1835157780346268,
      0.18044515647705162,
      0.17742537155912005,
      0.17445555514127775,
      0.1715348583702663,
      0.16866244996730398,
      0.1658375148930083,
      0.1630592536657784,
      0.16032688141497484,
      0.15763962772346374,
      0.15499673573203124,
      0.15239746207500096,
      0.14984107643856115,
      0.14732686137129894,
      0.14485411188808162,
      0.14242213518552224,
      0.14003025057583243,
      0.13767778920113283,
      0.135364093731142,
      0.13308851811347164,
      0.13085042743359016,
      0.12864919764891947,
      0.12648421536194637,
      0.1243548778358708,
      0.12226059268627762,
      0.1202007776117605,
      0.1181748602001969,
      0.1161822777153593,
      0.11422247712391592,
      0.11229491467645138,
      0.11039905591270041,
      0.10853437541682916,
      0.10670035670425355,
      0.10489649211845928,
      0.10312228241359576,
      0.1013772368673948,
      0.09966087303470103,
      0.09797271658573002,
      0.0963123011212738,
      0.094679168046184,
      0.09307286668592672,
      0.09149295378146231,
      0.08993899362049973,
      0.0884105575583656,
      0.08690722441924113,
      0.08542857994386223,
      0.08397421682096336,
      0.08254373454935439,
      0.08113673930500591,
      0.0797528438378087,
      0.07839166741745364,
      0.07705283563384832,
      0.07573598029014295,
      0.07444073928945394,
      0.07316675659747802,
      0.07191368212218527,
      0.0706811716754121,
      0.06946888679999783,
      0.06827649454777482,
      0.06710366747508975,
      0.06595008354369207,
      0.06481541712786063,
      0.06369929782421838,
      0.06260135836796302,
      0.061521260755253465,
      0.0604586874030859,
      0.059413335660071065,
      0.05838491430459633,
      0.057373140938744405,
      0.05637774066620141,
      0.05539844471555681,
      0.05443498976724784,
      0.05348711778161642,
      0.05255457534408437,
      0.051637113533877566,
      0.05073448758335226,
      0.049846456880898275,
      0.04897278488123603,
      0.048113238942208314,
      0.047267590214306765,
      0.046435613544474355,
      0.04561708762320477,
      0.04481179462760787,
      0.04401952028479818,
      0.043240053920420796,
      0.04247318808461746,
      0.041718718890646586,
      0.040976445794085825,
      0.04024617126731472,
      0.039527701137528036,
      0.03882084439380759,
      0.03812541308226114,
      0.037441222401016376,
      0.03676809045380793,
      0.036105838339585306,
      0.03545429001461568,
      0.03481327236944636,
      0.0341826150561928,
      0.03356215045376699,
      0.032951713681816854,
      0.03235114245960222,
      0.031760277350335736,
      0.031178961393328274,
      0.030607040114136327,
      0.030044361557623182,
      0.02949077630470215,
      0.028946137213178603,
      0.028410299739755118,
      0.02788312150835254,
      0.027364462447151884,
      0.026854184857905288,
      0.02635215327840013,
      0.025858234359581653,
      0.025372296821267144,
      0.024894211721065092,
      0.02442385212147477,
      0.0239610930641321,
      0.02350581170417164,
      0.023057887166564928,
      0.022617200550132784,
      0.022183634843819727,
      0.02175707490735017,
      0.021337407535980353,
      0.02092452126504763,
      0.020518306652560388,
      0.020118655793001226,
      0.019725462524791255,
      0.019338622415095003,
      0.018958032738618222,
      0.018583592603256777,
      0.018215202656640183,
      0.01785276498940011,
      0.01749618340040357,
      0.017145363267732073,
      0.016800211515326555,
      0.016460636572224813,
      0.016126548312794656,
      0.015797858034490384,
      0.015474478446783646,
      0.015156323812827253,
      0.014843309689576725,
      0.014535352965511205,
      0.014232371954835725,
      0.013934286185318183,
      0.013641016623363068,
      0.013352485453081394,
      0.013068616095685487,
      0.012789333163656224,
      0.012514562597617265,
      0.0122442314329968,
      0.01197826794029292,
      0.011716601547067638,
      0.011459162815726509,
      0.011205883361847024,
      0.01095669598681713,
      0.010711534738628813,
      0.010470334468629851,
      0.010233031186710336,
      0.009999561950222455,
      0.009769864744055584,
      0.009543878651054605,
      0.009321543619264005,
      0.009102800773497208,
      0.008887592088596298,
      0.008675860391112617,
      0.008467549554729333,
      0.008262604178002697,
      0.00806097000347572,
      0.007862593494588536,
      0.007667421975473838,
      0.007475403748760322,
      0.00728648784174229,
      0.007100624156366593,
      0.006917763304234572,
      0.006737856832722356,
      0.006560856932966369,
      0.006386716678576972,
      0.006215389809488949,
      0.006046830932290276,
      0.005880995450000939,
      0.005717839221723503,
      0.005557318980279137,
      0.005399392163414041,
      0.005244016886938611,
      0.005091151874980619,
      0.004940756520907936,
      0.004792790995087268,
      0.004647216037618229,
      0.004503992918651079,
      0.004363083750941923,
      0.004224451060996948,
      0.004088058221090071,
      0.003953869031748917,
      0.003821847745120335,
      0.003691959357320907,
      0.0035641694963641246,
      0.003438444166322238,
      0.0033147500783469626,
      0.0031930543800213636,
      0.0030733248381707933,
      0.0029555295786247654,
      0.0028396374636774904,
      0.0027256177280729843,
      0.0026134400681588803,
      0.002503074796757945,
      0.002394492592596831,
      0.0022876646399026535,
      0.0021825625851713344,
      0.002079158591364605,
      0.0019774251392840224,
      0.001877335320682832,
      0.0017788625479439935,
      0.0016819806786974982,
      0.0015866641105183664,
      0.0014928875148440162,
      0.001400625960347148,
      0.0013098549739873843,
      0.001220550476708998,
      0.00113268875272781,
      0.0010462465342268553,
      0.0009612009421250348,
      0.0008775292879396827,
      0.0007952093537540723,
      0.0007142193939523073,
      0.0006345378208251415,
      0.0005561436162137729,
      0.00047901603887951844,
      0.00040313451122115756,
      0.000328478945792278,
      0.0002550295645502944,
      0.00018276681477478267,
      0.00011167154064082292,
      4.1724920550784955e-05,
      -2.7091676765559827e-05,
      -9.479658086831024e-05,
      -0.0001614075861753376,
      -0.00022694237182266098,
      -0.0002914183736770297,
      -0.0003548527384617969,
      -0.0004172622446715729,
      -0.00047866341940884505,
      -0.0005390726095231805,
      -0.000598505810478761,
      -0.0006569788564697906,
      -0.0007145072344457924,
      -0.0007711061384068433,
      -0.0008267906437115781,
      -0.0008815755054042025,
      -0.0009354752607158832,
      -0.0009885042288027845,
      -0.0010406764906609064,
      -0.0010920059191267383,
      -0.0011425060866796493,
      -0.0011921903763521568,
      -0.0012410720022108693,
      -0.0012891638513838543,
      -0.0013364787002036734,
      -0.0013830291560275238,
      -0.001428827554112006,
      -0.001473886069685724,
      -0.0015182166066244208,
      -0.00156183089525003,
      -0.0016047405955606482,
      -0.0016469571139346053,
      -0.0016884915270616299,
      -0.0017293548864051583,
      -0.0017695580641799583,
      -0.0018091117134437678,
      -0.0018480263226460453,
      -0.0018863121677118013,
      -0.0019239794478117086,
      -0.0019610381473923128,
      -0.001997498100653826,
      -0.0020333690684656985,
      -0.0020686604393688104,
      -0.002103381616545815,
      -0.0021375417619843213,
      -0.002171150048635837,
      -0.0022042154549122704,
      -0.002236746678891097,
      -0.002268752357022199,
      -0.0023002409963304256,
      -0.002331220823204545,
      -0.00236170004477617,
      -0.002391686855647706,
      -0.0024211891774301945,
      -0.002450214880797657,
      -0.0024787716699854064,
      -0.002506867195641768,
      -0.002534508875208931
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334648463441386,
      10.093269122058341,
      9.845453925354844,
      9.594042451484134,
      9.341543671274067,
      9.090120941416266,
      8.841571278477307,
      8.597321411757862,
      8.35842451925225,
      8.125575759030916,
      7.899148495478859,
      7.679240824850624,
      7.4657278388198245,
      7.258315211361173,
      7.056590504514456,
      6.860069674319275,
      6.6682377405663535,
      6.480582280943348,
      6.296619379007552,
      6.115913445993242,
      5.938088005140211,
      5.762823709129927,
      5.5898674823989944,
      5.419051146054982,
      5.250286281502508,
      5.083548837460342,
      4.918889106883447,
      4.756451481896371,
      4.59648773984173,
      4.439305680295231,
      4.285239405493171,
      4.134650570485549,
      3.9879253353309947,
      3.8454493775310707,
      3.707586383940113,
      3.5746650564797458,
      3.4469693518511986,
      3.3247316232903334,
      3.2081282957676045,
      3.0972773914976166,
      2.9922253149075195,
      2.8929464902501603,
      2.7993381386154,
      2.711213928141782,
      2.628334304586594,
      2.5504498227965144,
      2.477302349730464,
      2.4086280200626873,
      2.3441589864982353,
      2.2836108536245696,
      2.2266612555392133,
      2.1729302672500928,
      2.1220725226848334,
      2.073756565419736,
      2.0276716792191674,
      1.9835462291687085,
      1.9411632109275019,
      1.9003405828476048,
      1.8609279947975004,
      1.8228060923490057,
      1.7858704558475837,
      1.7500298377941104,
      1.7152101479337203,
      1.6813498302022019,
      1.6483964789926453,
      1.616304487003505,
      1.5850334008850082,
      1.5545467664484065,
      1.5248113094852545,
      1.4957968815204754,
      1.4674783623580765,
      1.4398345728909312,
      1.4128453900708544,
      1.3864882927900333,
      1.3607421595788696,
      1.335586807632618,
      1.3110027681455467,
      1.286971323824762,
      1.263474518486959,
      1.2404951492105414,
      1.2180167468618657,
      1.1960235505300545,
      1.1745004772515717,
      1.1534330935102248,
      1.132808281175482,
      1.1126141902873152,
      1.0928394806233708,
      1.073473270469619,
      1.0545046815689005,
      1.0359229538213157,
      1.017717549875397,
      0.9998782168813943,
      0.9823951424769303,
      0.9652592717355665,
      0.9484617985936944,
      0.9319940744436098,
      0.9158476613730153,
      0.9000143615225491,
      0.8844862311833435,
      0.8692555851655293,
      0.8543149947533086,
      0.8396572823839437,
      0.8252755145956512,
      0.811162993449859,
      0.7973132477409894,
      0.7837200232606665,
      0.7703772742962346,
      0.7572791549777306,
      0.7444200102480565,
      0.7317943676975682,
      0.7193969299734642,
      0.7072225670859624,
      0.6952663098108104,
      0.6835233423305968,
      0.6719889957087068,
      0.66065874244114,
      0.6495281902641123,
      0.6385930769042156,
      0.6278492644259033,
      0.6172927342932651,
      0.6069195426233727,
      0.5967258204935136,
      0.5867078306621497,
      0.5768619589175069,
      0.56718470281038,
      0.5576726628402059,
      0.548322535499333,
      0.5391311084506945,
      0.5300952557505171,
      0.5212119336730483,
      0.5124786276343346,
      0.5038934394193233,
      0.4954542384965461,
      0.4871586766629738,
      0.47900429141271866,
      0.4709885709251747,
      0.46310899454569154,
      0.4553630576917955,
      0.4477482872686372,
      0.440262250414453,
      0.4329025597548361,
      0.42566687601686787,
      0.41855290915086485,
      0.41155845231243304,
      0.4046816115581148,
      0.3979205800650759,
      0.3912734588202909,
      0.3847383073531517,
      0.3783131748495786,
      0.37199611923916415,
      0.3657852191695175,
      0.35967858100628475,
      0.3536743430331184,
      0.3477707238370817,
      0.3419661053316465,
      0.33625886438348057,
      0.3306473565561297,
      0.3251299365034265,
      0.3197049705133799,
      0.3143708441435447,
      0.30912596669995446,
      0.3039687922327276,
      0.2988978246715533,
      0.293911583746609,
      0.2890086058128743,
      0.28418744819900366,
      0.27944669154979884,
      0.2747849407980527,
      0.2702007739005298,
      0.2656925947190924,
      0.2612588634717034,
      0.2568981546081951,
      0.25260912406837344,
      0.24839048829123386,
      0.24424101015180394,
      0.24015949000919642,
      0.23614475985069605,
      0.23219599414598494,
      0.2283125645761446,
      0.2244936774509431,
      0.22073843465723633,
      0.21704587776408754,
      0.21341501693398357,
      0.20984484863040823,
      0.20633436734338748,
      0.202882572918103,
      0.19948847506794157,
      0.1961510648657968,
      0.19286926094165832,
      0.1896420234430416,
      0.18646836574765,
      0.18334734110801018,
      0.18027803414036092,
      0.17725955502834168,
      0.1742910358161885,
      0.17137162773532189,
      0.16850049963839422,
      0.1656768365181417,
      0.16289983871667382,
      0.16016872144840585,
      0.1574827141649948,
      0.15484106006606968,
      0.15224301569073814,
      0.14968785074881127,
      0.1471748477080396,
      0.14470330154380084,
      0.14227251947911038,
      0.13988182087384468,
      0.1375305367350707,
      0.13521800966178102,
      0.13294359371576905,
      0.13070665392514522,
      0.12850656620867387,
      0.1263427173203118,
      0.12421450439411309,
      0.12212133501696223,
      0.1200626268951833,
      0.1180378075523323,
      0.11604631438872039,
      0.11408759425079083,
      0.11216110351391144,
      0.11026630771246536,
      0.1084026814095514,
      0.10656970807047983,
      0.10476688012488786,
      0.10299369834561546,
      0.10124967192355877,
      0.09953431843664122,
      0.09784716355477563,
      0.09618774096265637,
      0.09455559215076591,
      0.09295026629708625,
      0.09137132032067785,
      0.0898183185110057,
      0.08829083244321034,
      0.08678844073727235,
      0.0853107291856088,
      0.08385729062259453,
      0.08242772445591806,
      0.08102163686405453,
      0.07963864068688438,
      0.07827835521876561,
      0.07694040608531379,
      0.0756244250858679,
      0.07433005021016643,
      0.07305692556964702,
      0.07180470108977516,
      0.07057303255125146,
      0.06936158140413709,
      0.06817001474601343,
      0.0669980051835765,
      0.06584523092165417,
      0.06471137545249739,
      0.06359612738877472,
      0.0624991668973064,
      0.06142012934715128,
      0.06035866397450561,
      0.05931444673728765,
      0.058287172238521756,
      0.057276548985520634,
      0.05628229605704538,
      0.05530414093661635,
      0.054341818058508407,
      0.0533950677300501,
      0.05246363550873135,
      0.05154727196156915,
      0.05064573200142261,
      0.04975877480587142,
      0.048886163717144306,
      0.04802766610992703,
      0.04718305330030908,
      0.04635210024986086,
      0.04553458564946156,
      0.044730291775424195,
      0.04393900446099698,
      0.04316051322151169,
      0.042394610757113,
      0.041641093279261895,
      0.04089976014706202,
      0.040170414133113196,
      0.03945286123770997,
      0.03874691044543052,
      0.03805237410116211,
      0.03736906747443712,
      0.036696808771308674,
      0.03603541914471537,
      0.035384722715740224,
      0.03474454641586502,
      0.034114720030753935,
      0.03349507609593566,
      0.032885449924024965,
      0.03228567940083007,
      0.03169560504586111,
      0.031115069943097005,
      0.030543919757953397,
      0.029982002668694534,
      0.02942916941597524,
      0.0288852731202027,
      0.02835016922939231,
      0.027823715443835478,
      0.02730577179598549,
      0.02679620070124372,
      0.02629486673156976,
      0.025801636632888092,
      0.025316379408426612,
      0.024838966047656567,
      0.024369269696200443,
      0.023907165540899868,
      0.02345253088770898,
      0.023005244916696952,
      0.0225651888199838,
      0.02213224574373721,
      0.021706300559689487,
      0.02128724015864635,
      0.020874953147536585,
      0.02046933008762529,
      0.020070263148196953,
      0.019677646511627726,
      0.019291375742291828,
      0.018911348287359783,
      0.018537463195732184,
      0.018169621237849987,
      0.017807724599530724,
      0.01745167721758893,
      0.01710138443507261,
      0.016756753247430794,
      0.01641769220506578,
      0.016084111309491042,
      0.015755921864030083,
      0.015433036692423109,
      0.015115370070342023,
      0.014802837669491852,
      0.01449535650669495,
      0.01419284494300269,
      0.013895222599001708,
      0.01360241051676519,
      0.013314330875510589,
      0.013030907182765679,
      0.0127520641715212,
      0.012477727803945583,
      0.012207825280180504,
      0.011942284829081768,
      0.011681036011830109,
      0.011424009522037802,
      0.011171137053900715,
      0.010922351382452148,
      0.010677586477555984,
      0.01043677741041133,
      0.010199860244164442,
      0.009966772075840784,
      0.00973745100571741,
      0.009511836091758803,
      0.009289867447648153,
      0.00907148612858628,
      0.008856634154569462,
      0.008645254499118842,
      0.008437290986463362,
      0.008232688446272675,
      0.008031392650022517,
      0.007833350047134424,
      0.007638508076674256,
      0.007446815043486626,
      0.007258220138308262,
      0.007072673155379293,
      0.006890124868113504,
      0.006710526829485461,
      0.0065338313727576645,
      0.006359991475321468,
      0.006188961063898378,
      0.006020694693708292,
      0.005855147682089869,
      0.005692276079141782,
      0.005532036698869759,
      0.005374387019689922,
      0.005219285125640812,
      0.005066689847328871,
      0.004916560740107332,
      0.0047688579508315156,
      0.004623542226868399,
      0.0044805750228223,
      0.004339918304607321,
      0.004201534718387115,
      0.004065387475610588,
      0.003931440584118067,
      0.003799658471192497,
      0.003670006035028979,
      0.0035424489711006896,
      0.0034169533640972687,
      0.0032934858856517877,
      0.0031720137524232587,
      0.0030525048072848377,
      0.0029349273235063666,
      0.002819250013646558,
      0.0027054421415902497,
      0.002593473516646886,
      0.0024833145470153388,
      0.002374935932603595,
      0.0022683088808442857,
      0.002163405012824359,
      0.0020601963788880813,
      0.001958655648076515,
      0.0018587559435300877,
      0.001760470730569221,
      0.0016637739798326095,
      0.0015686399568976583,
      0.0014750433692319134,
      0.0013829594132925861,
      0.0012923636771277943,
      0.0012032320446892868,
      0.0011155408553281932,
      0.001029266893778534,
      0.0009443871527885178,
      0.0008608791815006236,
      0.0007787208129481971,
      0.0006978902170278649,
      0.0006183659547126044,
      0.000540126900250088,
      0.00046315228537040996,
      0.0003874216432714745,
      0.00031291488083999574,
      0.0002396122826277463,
      0.00016749428703302047,
      9.654179118705845e-05,
      2.67359997107977e-05,
      -4.1941661888650995e-05,
      -0.0001095094930285084,
      -0.0001759853542820011,
      -0.00024138695392165655,
      -0.00030573159932668014,
      -0.0003690363349960067,
      -0.0004313180475905335,
      -0.0004925931822809525,
      -0.0005528780618223049,
      -0.0006121886134622785,
      -0.0006705406542333308,
      -0.0007279496603142151,
      -0.0007844309041697946,
      -0.0008399993617388918,
      -0.00089466972685971,
      -0.0009484565325793979,
      -0.0010013740490610594,
      -0.0010534364095216994,
      -0.0011046573668682203,
      -0.0011550504877533637,
      -0.0012046291228377962,
      -0.0012534065293560528,
      -0.0013013956752017063,
      -0.0013486092260500725,
      -0.001395059754066108,
      -0.0014407596029828939,
      -0.0014857209173582773,
      -0.001529955601113452,
      -0.001573475402683071,
      -0.0016162919290571346,
      -0.0016584164943720557,
      -0.0016998603169723057,
      -0.0017406343787733343,
      -0.001780749544914622,
      -0.001820216402883233,
      -0.0018590453866123957,
      -0.0018972468620778722,
      -0.0019348309771736547,
      -0.0019718076505207496,
      -0.0020081866932876486,
      -0.002043977796700089,
      -0.00207919052560851,
      -0.0021138341588760193,
      -0.0021479179357796383,
      -0.0021814509201977667,
      -0.0022144419730432464,
      -0.002246899805862721,
      -0.002278833129558384,
      -0.0023102503133962836,
      -0.00234115972943145,
      -0.0023715696708652943,
      -0.0024014882256783816,
      -0.0024309231875295993,
      -0.0024598824047332973,
      -0.002488373670545699,
      -0.0025164045247224208,
      -0.0025439824107088044
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334644182571294,
      10.093254964590257,
      9.84542418537302,
      9.593992324151595,
      9.34146980242972,
      9.09002108757447,
      8.84144414136227,
      8.597166481015723,
      8.358241717066127,
      8.125365275398067,
      7.8989106678817596,
      7.678976045338979,
      7.46543649268876,
      7.257997648166965,
      7.056247031358641,
      6.8597005673037,
      6.667843249087308,
      6.480162677803785,
      6.296175012310648,
      6.115444804056782,
      5.937595782356508,
      5.76230887103985,
      5.589331296032908,
      5.418495137516017,
      5.249712219246476,
      5.082958605293102,
      4.918284793338644,
      4.755835915724557,
      4.595864427927095,
      4.438678155586503,
      4.284611209339565,
      4.134025342346266,
      3.987306803079644,
      3.8448410570751728,
      3.706991525571331,
      3.574086595282586,
      3.446409863006717,
      3.3241932902304274,
      3.2076128919640654,
      3.0967861965814056,
      2.9917590537138743,
      2.8925053684100717,
      2.7989217319759065,
      2.7108211492501395,
      2.6279636578741816,
      2.5500997152525824,
      2.476970973388187,
      2.4083134832396556,
      2.343859463487451,
      2.2833244143896594,
      2.22638549783014,
      2.17266284873976,
      2.121811346180917,
      2.0734996642224433,
      2.0274173462193663,
      1.9832931433477452,
      1.9409103938445273,
      1.9000873094536401,
      1.8606737355843077,
      1.822550355988697,
      1.7856127766665004,
      1.7497698685017211,
      1.714947667504073,
      1.6810847048617885,
      1.6481286359673262,
      1.6160338955394022,
      1.5847600588507817,
      1.5542706910662099,
      1.5245325312871498,
      1.4955155418385602,
      1.4671947264031089,
      1.4395490443105474,
      1.4125583499961971,
      1.386200036925635,
      1.3604528981638078,
      1.3352966891777887,
      1.3107118999670138,
      1.2866797868747175,
      1.263182376835652,
      1.240202455347901,
      1.217723546328794,
      1.195729883640456,
      1.174206382280386,
      1.1531386063125364,
      1.132513454840325,
      1.1123190788463444,
      1.0925441398540634,
      1.073177751677333,
      1.0542090288171915,
      1.0356272058739027,
      1.0174217419678415,
      0.9995823823754261,
      0.9820994328350583,
      0.9649638526355607,
      0.9481667834920525,
      0.9316995429307665,
      0.9155536713452966,
      0.8997209569731741,
      0.8841934474082854,
      0.8689634514449022,
      0.8540235362423625,
      0.8393665218297428,
      0.8249854733218622,
      0.8108736918679054,
      0.7970247050830115,
      0.7834322584674758,
      0.7700903063326874,
      0.7569930020933,
      0.7441346900889781,
      0.7315098977369563,
      0.7191133273698848,
      0.7069398486831386,
      0.6949844918717577,
      0.6832424408952422,
      0.6717090270691741,
      0.6603797224875583,
      0.6492501344567566,
      0.6383160002856947,
      0.6275731818520569,
      0.6170176604263085,
      0.6066454909482942,
      0.5964528042063042,
      0.5864358629373301,
      0.5765910529393843,
      0.5669148714152263,
      0.5574039185824479,
      0.5480548907602686,
      0.53886457518369,
      0.5298298453456612,
      0.5209476573472712,
      0.512215580033727,
      0.5036317175523211,
      0.49519390502080257,
      0.4868997724161721,
      0.47874684338686696,
      0.4707325970344426,
      0.4628545067799128,
      0.45511006432855755,
      0.44749679402412307,
      0.44001226127457227,
      0.43265407761685626,
      0.4254199029406214,
      0.4183074465000761,
      0.4113145135793728,
      0.4044392265414671,
      0.397679766722479,
      0.39103422765142765,
      0.38450066396756355,
      0.3780771215713316,
      0.37176165641629316,
      0.36555234586141144,
      0.3594472953579094,
      0.3534446423109459,
      0.34754261492823935,
      0.3417395950720181,
      0.33603395538240916,
      0.33042404855886454,
      0.32490822738389386,
      0.31948485696482154,
      0.3141523218526834,
      0.30890903076972714,
      0.3037534393422776,
      0.2986840513597827,
      0.29369938550722086,
      0.2887979774932723,
      0.2839783840762898,
      0.2792391854915933,
      0.27457898650868734,
      0.2699963668170229,
      0.26548973270599696,
      0.26105754277540877,
      0.25669837030814235,
      0.2524108705852734,
      0.24819375938183663,
      0.2440457991162897,
      0.2399657899075932,
      0.2359525634879745,
      0.23200528614204993,
      0.22812332897550325,
      0.22430590110231202,
      0.22055210621527546,
      0.21686098724394773,
      0.21323155488819773,
      0.2096628061152792,
      0.20615373577152935,
      0.20270334373347637,
      0.1993106396487828,
      0.19597461035515232,
      0.19269417441970785,
      0.1894682936029396,
      0.18629598230063,
      0.1831762944838963,
      0.18010831525385285,
      0.17709115512254736,
      0.17412394613490648,
      0.17120583969099917,
      0.168336004521667,
      0.16551362565809252,
      0.16273790352586698,
      0.16000805332793122,
      0.1573233044342799,
      0.15468290009518496,
      0.1520860967907549,
      0.14953216419505208,
      0.14702038462876835,
      0.14455005311367747,
      0.14212047685119342,
      0.13973097513649035,
      0.13738087908459554,
      0.13506953128264945,
      0.13279628564081905,
      0.13056050722590895,
      0.1283615720710577,
      0.1261988668528806,
      0.1240717886969161,
      0.12197974514805107,
      0.1199221539255672,
      0.11789844251907902,
      0.11590804835579296,
      0.11395041824233972,
      0.11202500854280735,
      0.11013128482721275,
      0.10826872171602303,
      0.10643680273450762,
      0.10463502019657504,
      0.1028628749138243,
      0.10111987626399496,
      0.09940554172800045,
      0.09771939707760702,
      0.09606097601229713,
      0.09442981996927365,
      0.09282547826541192,
      0.09124750778248478,
      0.08969547268514605,
      0.0881689445072016,
      0.08666750211438205,
      0.0851907312979827,
      0.08373822479705181,
      0.08230958217305877,
      0.08090440968309287,
      0.07952232011653315,
      0.0781629328774842,
      0.07682587353754092,
      0.0755107739797484,
      0.07421727221532226,
      0.07294501241035824,
      0.07169364457836898,
      0.07046282452607464,
      0.06925221373780553,
      0.06806147929940581,
      0.06689029391571784,
      0.0657383358439805,
      0.06460528854194286,
      0.06349084065647156,
      0.062394686110722734,
      0.06131652389600865,
      0.06025604137341174,
      0.05921288348979588,
      0.05818671333055545,
      0.0571772188333505,
      0.05618410578118664,
      0.05520709292207069,
      0.05424590905313387,
      0.05330029091584601,
      0.05236998171623937,
      0.051454730554103385,
      0.05055429151804245,
      0.04966842332759444,
      0.04879688898969271,
      0.04793945563664618,
      0.047095894443367654,
      0.0462659804931991,
      0.04544949254729555,
      0.044646213002727676,
      0.043855927826320126,
      0.043078426527668384,
      0.04231350192579772,
      0.04156095035829155,
      0.04082057143584876,
      0.040092168006800634,
      0.03937554611177306,
      0.03867051502031632,
      0.037976887003289064,
      0.03729447748585583,
      0.03662310490372232,
      0.03596259046303948,
      0.035312758474043277,
      0.034673435951895516,
      0.034044452762527294,
      0.033425641588832766,
      0.03281683779280102,
      0.03221787942829129,
      0.03162860713677347,
      0.031048864205681856,
      0.030478496420807365,
      0.029917351972855305,
      0.029365281672260265,
      0.02882213876677171,
      0.02828777883907013,
      0.027762059680933444,
      0.02724484146259485,
      0.026735986656775984,
      0.026235360035204457,
      0.025742828426084458,
      0.025258260797466417,
      0.024781528348975065,
      0.024312504370559235,
      0.02385106409646023,
      0.02339708493577172,
      0.022950446323664723,
      0.0225110294527741,
      0.02207871743798529,
      0.021653395361358553,
      0.021234950172045047,
      0.02082327060628152,
      0.02041824720957122,
      0.020019772302474106,
      0.0196277400232248,
      0.019242046231069752,
      0.01886258838462478,
      0.018489265699957718,
      0.018121978908265477,
      0.01776063036318562,
      0.017405124065296682,
      0.017055365470380664,
      0.016711261685019168,
      0.016372721274294434,
      0.016039654234143903,
      0.015711972071190468,
      0.015389587646618434,
      0.01507241537537123,
      0.014760370979641755,
      0.01445337147647202,
      0.014151335386823416,
      0.013854182409607216,
      0.013561833513982189,
      0.01327421103661805,
      0.01299123856781501,
      0.012712840893881661,
      0.012438944121753911,
      0.012169475522870404,
      0.011904363432254046,
      0.011643537444777268,
      0.011386928246922265,
      0.011134467580377201,
      0.010886088386128274,
      0.010641724658163581,
      0.010401311420132297,
      0.010164784914836238,
      0.009932082207686925,
      0.009703141512430367,
      0.009477902095043735,
      0.009256304086332292,
      0.009038288571421955,
      0.00882379765761266,
      0.008612774297987997,
      0.00840516243664725,
      0.008200906992398406,
      0.007999953629697066,
      0.007802248997101877,
      0.007607740556240721,
      0.007416376668145211,
      0.007228106492306844,
      0.007042880003636189,
      0.006860647929654283,
      0.006681361874958911,
      0.006504974188884908,
      0.006331438051935812,
      0.0061607074192214385,
      0.0059927368586351,
      0.005827481811850256,
      0.005664898317342422,
      0.005504943200564865,
      0.0053475740507613265,
      0.0051927490354395,
      0.005040427054344992,
      0.004890567552568187,
      0.004743130622166487,
      0.004598077119080978,
      0.004455368649506006,
      0.004314967336359484,
      0.004176835753334947,
      0.004040937229731017,
      0.0039072356620038695,
      0.0037756954927751275,
      0.00364628176845909,
      0.00351896023114961,
      0.003393696999703053,
      0.0032704587928100203,
      0.003149212932039712,
      0.003029927213527479,
      0.0029125698833490886,
      0.0027971097101585716,
      0.0026835160279021063,
      0.0025717587361765277,
      0.0024618082140452717,
      0.0023536351909333435,
      0.0022472109371729555,
      0.0021425071065917125,
      0.0020394959433885852,
      0.001938150077637176,
      0.0018384426023783558,
      0.0017403471142555635,
      0.0016438374889500313,
      0.0015488880270160077,
      0.001455473568890942,
      0.001363569269097078,
      0.0012731506768262888,
      0.0011841937989355387,
      0.001096675037448896,
      0.001010571173400145,
      0.0009258593519775484,
      0.0008425169674390622,
      0.0007605218732458632,
      0.0006798522504881238,
      0.0006004867323632166,
      0.0005224042246013995,
      0.00044558400742533797,
      0.00037000566045876203,
      0.00029564910327198595,
      0.00022249466951460036,
      0.00015052288308776464,
      7.971458547396574e-05,
      1.0050981203711069e-05,
      -5.8486493172149056e-05,
      -0.00012591601906605267,
      -0.0001922554421399985,
      -0.0002575223230118118,
      -0.0003217340381900083,
      -0.00038490767639457303,
      -0.00044706002294715643,
      -0.0005082076131144619,
      -0.0005683666887719538,
      -0.0006275531730375239,
      -0.0006857828475246152,
      -0.0007430712296499089,
      -0.0007994335125967981,
      -0.0008548846951259372,
      -0.0009094394623344464,
      -0.0009631122558835632,
      -0.001015917381792034,
      -0.0010678688056227177,
      -0.0011189802265142445,
      -0.0011692654488453648,
      -0.0012187377622728,
      -0.0012674102674729616,
      -0.0013152959466474676,
      -0.0013624074535574353,
      -0.0014087573669931915,
      -0.0014543579727027047,
      -0.0014992213691430159,
      -0.0015433594701971122,
      -0.001586784153968416,
      -0.0016295068513573314,
      -0.001671538813373857,
      -0.0017128912255679374,
      -0.001753575156312832,
      -0.0017936014030739424,
      -0.0018329806558675349,
      -0.001871723360959655,
      -0.0019098397236512873,
      -0.0019473398757205154,
      -0.001984233749737419,
      -0.0020205311625365544,
      -0.002056241860212838,
      -0.0020913752318812233,
      -0.002125940607396329,
      -0.002159947141387031,
      -0.0021934038872633782,
      -0.0022263197691320233,
      -0.002258703495985813,
      -0.0022905636913794075,
      -0.0023219088763377195,
      -0.0023527473501262965,
      -0.002383087369187553,
      -0.0024129369251846694,
      -0.0024423038207181205,
      -0.0024711959036638077,
      -0.0024996208943157306,
      -0.0025275863839596367,
      -0.0025550998392544384
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334639889394827,
      10.093240758234867,
      9.84539433460143,
      9.593942001836059,
      9.341395636242673,
      9.089920821180261,
      8.841316465412438,
      8.597010874126168,
      8.35805809040712,
      8.125153816165543,
      7.898671711085549,
      7.678709980441451,
      7.465143705243943,
      7.25767848783994,
      7.055901804786042,
      6.859329551193556,
      6.667446692811044,
      6.4797408547841915,
      6.295728271661196,
      6.114973635836422,
      5.937100883923035,
      5.761791211280473,
      5.588792145236575,
      5.417936022805294,
      5.2491349131633385,
      5.082364997256877,
      4.917676979271672,
      4.755216734894969,
      4.595237400716523,
      4.438046828942269,
      4.2839791385738675,
      4.1333961835784105,
      3.9866843011073945,
      3.844228744735798,
      3.7063926695823186,
      3.57350414479691,
      3.445846406623778,
      3.323651024341022,
      3.20709360163907,
      3.0962911719387076,
      2.99128902874472,
      2.8920605557327845,
      2.798501712882653,
      2.7104248394850816,
      2.627589563265108,
      2.5497462438262546,
      2.47663631621809,
      2.40799574777817,
      2.3435567841868212,
      2.2830348667155262,
      2.2261066857159486,
      2.1723924343201255,
      2.121547234866204,
      2.0732398906504312,
      2.0271602023806294,
      1.9830373061194468,
      1.9406548816872269,
      1.899831394984058,
      1.86041690369862,
      1.8222921267671586,
      1.7853526725357018,
      1.7495075331622076,
      1.7146828736921023,
      1.6808173148552839,
      1.6478585734739002,
      1.6157611265344503,
      1.5844845790635484,
      1.5539925157616854,
      1.5242516892896367,
      1.4952321730878608,
      1.466909123937869,
      1.4392616237896019,
      1.412269476968475,
      1.385909997300537,
      1.360161895335183,
      1.3350048666521823,
      1.3104193620081621,
      1.2863866123770649,
      1.262888627899291,
      1.2399081835045718,
      1.2174287955021434,
      1.1954346935033737,
      1.173910789466606,
      1.152842645618532,
      1.132217179596973,
      1.1120225424986638,
      1.0922473986025127,
      1.0728808567399861,
      1.0539120230051808,
      1.0353301273181208,
      1.0171246259459035,
      0.9992852613940241,
      0.9818024650053973,
      0.9646672003006377,
      0.9478705575784758,
      0.9314038213528526,
      0.9152585111266347,
      0.8994264014805541,
      0.8838995308983075,
      0.8686702026618723,
      0.8537309803629953,
      0.8390746817242378,
      0.8246943701868107,
      0.8105833452816733,
      0.7967351342153578,
      0.7831434819772369,
      0.7698023421254472,
      0.7567058678279986,
      0.7438484034178584,
      0.7312244759742791,
      0.7188287873775439,
      0.7066562073550936,
      0.6947017658951803,
      0.6829606466031024,
      0.6714281802558038,
      0.6600998385441054,
      0.6489712287246511,
      0.6380380879427544,
      0.627296277330979,
      0.6167417779926722,
      0.6063706440230474,
      0.5961790057452203,
      0.5861631258777165,
      0.5763193899770046,
      0.5666442952312266,
      0.5571344414769271,
      0.5477865249397793,
      0.538597332481242,
      0.5295637372634254,
      0.5206826950410126,
      0.5119518582210282,
      0.5033693331925942,
      0.49493292085726664,
      0.4866402292528901,
      0.47848876783497063,
      0.4704760066603863,
      0.4625994133859879,
      0.45485647583412514,
      0.4472447158954117,
      0.4397616974061221,
      0.4324050307953682,
      0.42517237514708917,
      0.41806143907649346,
      0.41107004002826264,
      0.40419631650081983,
      0.3974384379450862,
      0.3907944904641375,
      0.38426252396576793,
      0.377840581224057,
      0.37152671604530124,
      0.3653190044819353,
      0.3592155509506571,
      0.3532144923160886,
      0.34731406627439565,
      0.34151265465793845,
      0.3358086255580333,
      0.33020032899619434,
      0.32468611578968587,
      0.3192643497324818,
      0.3139334147704212,
      0.3086917190230331,
      0.3035377195478935,
      0.2984699198232488,
      0.2934868376103424,
      0.28858700776151847,
      0.28376898662292777,
      0.2790313541392917,
      0.2743727147051033,
      0.26979164974640324,
      0.26528656819938,
      0.26085592687039866,
      0.25649829803026114,
      0.2522123361123201,
      0.24799675633071017,
      0.24385032073677348,
      0.23977182924812906,
      0.23576011354617502,
      0.2318143313756385,
      0.22793385315298165,
      0.2241178911903507,
      0.22036555092320273,
      0.21667587634962274,
      0.21304787898622934,
      0.20948055620214384,
      0.20597290309810967,
      0.20252391958078333,
      0.19913261535771942,
      0.19579797305529414,
      0.19251891098512475,
      0.1892943926835758,
      0.18612343356165942,
      0.18300508830645057,
      0.17993844241193355,
      0.17692260656250622,
      0.17395671299644774,
      0.1710399132136075,
      0.1681713759637882,
      0.16535028641876393,
      0.16257584494220842,
      0.15984726671355892,
      0.15716378105309667,
      0.1545246311027382,
      0.15192907333364847,
      0.14937637732513254,
      0.1468658255096719,
      0.14439671285766625,
      0.14196834664825997,
      0.13958004617345282,
      0.13723114242539444,
      0.13492097796398253,
      0.13264890674849938,
      0.13041429382461006,
      0.1282165151523757,
      0.1260549574804606,
      0.12392901790929182,
      0.12183810400144338,
      0.11978163340887878,
      0.11775903366573379,
      0.11576974215808965,
      0.1138132058136756,
      0.11188888082182302,
      0.109996232834818,
      0.10813473657030048,
      0.10630387565335155,
      0.10450314220132353,
      0.10273203706028664,
      0.10099006954205257,
      0.0992767573109558,
      0.09759162612673465,
      0.09593420964013974,
      0.09430404935539397,
      0.0927006946384296,
      0.09112370233861922,
      0.08957263675443496,
      0.0880470694850636,
      0.08654657930717392,
      0.08507075209567391,
      0.08361918057893777,
      0.08219146440729601,
      0.08078720987389418,
      0.07940602981184257,
      0.07804754353346842,
      0.07671137675460842,
      0.07539716141484927,
      0.07410453550707398,
      0.07283314316433179,
      0.07158263438086161,
      0.07035266500216678,
      0.0691428967972057,
      0.06795299689660546,
      0.06678263798217111,
      0.06563149828677363,
      0.06449926122001512,
      0.06338561568746527,
      0.062290255634771176,
      0.061212880071835236,
      0.06015319292147417,
      0.05911090315035743,
      0.05808570749680283,
      0.05707726271161923,
      0.0560852434192913,
      0.05510934823949526,
      0.054149292791526124,
      0.05320480527095068,
      0.05227562345132968,
      0.05136149271480354,
      0.050462164878599405,
      0.049577397277752906,
      0.04870695212698019,
      0.047850596027683025,
      0.047008099918301516,
      0.04617923859556569,
      0.04536379083268109,
      0.04456153890474988,
      0.04377226883396356,
      0.04299577019073888,
      0.04223183609966897,
      0.04148026294989655,
      0.0407408504715517,
      0.040013401506334666,
      0.03929772234719009,
      0.03859362240693764,
      0.03790091420734065,
      0.03721941315147282,
      0.03654893769479157,
      0.03588930933090474,
      0.035240352448954335,
      0.03460189425948278,
      0.03397376475018934,
      0.03335579659522594,
      0.03274782544345984,
      0.032149689379083385,
      0.03156122907797917,
      0.030982287891926454,
      0.030412711860125216,
      0.029852349387717476,
      0.029301051238756762,
      0.028758670716494503,
      0.028225063529048886,
      0.02770008770222606,
      0.02718360361636038,
      0.026675473829332327,
      0.026175562971554045,
      0.02568373803736393,
      0.02519986825270443,
      0.024723824887869967,
      0.02425548130734791,
      0.02379471285605622,
      0.023341396893141773,
      0.022895412954469094,
      0.02245664240813646,
      0.02202496848018901,
      0.021600276347488918,
      0.02118245307462395,
      0.020771387527897207,
      0.02036697035208698,
      0.019969093955563778,
      0.019577652572408774,
      0.019192542083362473,
      0.018813660021512208,
      0.018440905679860457,
      0.01807417998361772,
      0.017713385426706026,
      0.017358426026653682,
      0.01700920733656665,
      0.016665636507584708,
      0.0163276221856971,
      0.015995074516389877,
      0.015667904976649327,
      0.015346026638974015,
      0.015029353874874892,
      0.014717802496359284,
      0.01441128966757811,
      0.014109733866355808,
      0.01381305499696408,
      0.01352117405073698,
      0.013234013374985261,
      0.0129514968266815,
      0.012673549130155537,
      0.012400096415307656,
      0.012131066004170908,
      0.011866386437678891,
      0.011605987290558771,
      0.011349799346959916,
      0.011097754545934624,
      0.010849785727210036,
      0.0106058270459409,
      0.010365813684237602,
      0.010129681736879063,
      0.009897368482163124,
      0.00966881213568705,
      0.009443951958038165,
      0.009222728156430111,
      0.009005081917047249,
      0.00879095543539024,
      0.008580291657383799,
      0.00837303466008564,
      0.008169129393841361,
      0.007968521625394695,
      0.007771158036834075,
      0.007576986130769555,
      0.0073859542470328275,
      0.007198011684406424,
      0.007013108399655276,
      0.006831195345788726,
      0.006652224158417361,
      0.006476147252410242,
      0.006302917800581332,
      0.006132489727723999,
      0.005964817765506829,
      0.005799857293557965,
      0.005637564514516274,
      0.005477896179987002,
      0.005320809942771145,
      0.005166264005951575,
      0.005014217289809391,
      0.004864629384902048,
      0.0047174606035163035,
      0.004572671753695856,
      0.004430224303728997,
      0.004290080485349947,
      0.004152202998917846,
      0.004016555185359977,
      0.0038831009837915933,
      0.003751804866396424,
      0.003622632017243075,
      0.0034955479854436406,
      0.0033705191669667275,
      0.00324751228474769,
      0.0031264946079554924,
      0.003007434001676422,
      0.0028902988001428005,
      0.002775057804175183,
      0.00266168027949879,
      0.002550136134658728,
      0.0024403957967156576,
      0.0023324300695925443,
      0.002226210318679602,
      0.0021217082563961564,
      0.002018896130227253,
      0.0019177466837242219,
      0.0018182330113625702,
      0.0017203286437251781,
      0.0016240074690266882,
      0.0015292440123853873,
      0.0014360130557355664,
      0.0013442896788032452,
      0.0012540496131000312,
      0.0011652688537749961,
      0.001077923801070393,
      0.0009919912692285108,
      0.0009074484335262235,
      0.0008242726392141377,
      0.0007424418848525334,
      0.0006619345133123319,
      0.0005827290505011817,
      0.0005048044707841172,
      0.0004281400446558342,
      0.00035271539719225985,
      0.000278510466174571,
      0.00020550556347782232,
      0.00013368118946077058,
      6.301817267963574e-05,
      -6.502119136624285e-06,
      -7.489811288028188e-05,
      -0.0001421880325828383,
      -0.00020838974186268395,
      -0.0002735209095151791,
      -0.0003375987608442615,
      -0.00040064046964353474,
      -0.00046266263412977064,
      -0.0005236818700568153,
      -0.0005837143861672194,
      -0.0006427761812781601,
      -0.0007008827890936832,
      -0.0007580496572717323,
      -0.0008142920745020768,
      -0.0008696251223521973,
      -0.0009240634037491595,
      -0.0009776213292818007,
      -0.0010303132119588343,
      -0.0010821530180242771,
      -0.0011331544790617151,
      -0.0011833310949737577,
      -0.0012326962570776171,
      -0.001281263116072256,
      -0.0013290445956073912,
      -0.0013760534620673756,
      -0.0014223021201306128,
      -0.0014678028143157594,
      -0.001512567727893031,
      -0.0015566086490024199,
      -0.0015999374239806321,
      -0.0016425655778078765,
      -0.0016845042957707927,
      -0.0017257647789036606,
      -0.0017663580464041156,
      -0.0018062948387921164,
      -0.001845585825662372,
      -0.0018842414501756212,
      -0.0019222720147266366,
      -0.001959687505014251,
      -0.001996497832967556,
      -0.0020327128245701135,
      -0.0020683421440494164,
      -0.00210339540812042,
      -0.0021378818547762484,
      -0.0021718105767636327,
      -0.0022051906527813803,
      -0.002238030915874086,
      -0.002270340083463728,
      -0.0023021267790272466,
      -0.002333399432251035,
      -0.002364166452000661,
      -0.0023944359796108385,
      -0.0024242159080460107,
      -0.0024535142244109377,
      -0.002482338761310308,
      -0.0025106972092566967,
      -0.002538597070043827,
      -0.0025660457625539634
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334635619915092,
      10.09322662646874,
      9.845364629977412,
      9.593891914423125,
      9.341321805920098,
      9.089820999527216,
      8.841189349162708,
      8.596855946810079,
      8.357875266911504,
      8.124943284716124,
      7.898433805873985,
      7.678445090845025,
      7.464852215606213,
      7.2573607460712894,
      7.05555811760121,
      6.858960195788593,
      6.667051918559836,
      6.479320933568048,
      6.295283552995588,
      6.114504609597897,
      5.936608245704826,
      5.761275929357693,
      5.588255487701225,
      5.417379515792597,
      5.248560325919741,
      5.08177421751227,
      4.917072098558826,
      4.754600584931166,
      4.594613490447408,
      4.437418693094892,
      4.283350320902251,
      4.13277032584674,
      3.986065132465291,
      3.8436197824522496,
      3.7057971642916723,
      3.5729250316570162,
      3.445286260478301,
      3.3231120279564004,
      3.2065775283088924,
      3.095799301714632,
      2.990822086177095,
      2.8916187467051717,
      2.798084614155252,
      2.7100313649908676,
      2.62721821854303,
      2.5493954377683656,
      2.4763042425418478,
      2.4076805181230876,
      2.3432565372354954,
      2.2827476818962538,
      2.2258301725984477,
      2.1721242614035305,
      2.1212853143040764,
      2.0729822632193264,
      2.0269051639087574,
      1.9827835369343594,
      1.9404014033235681,
      1.8995774818690485,
      1.8601620430848902,
      1.8220358412881008,
      1.7850944871462395,
      1.7492470935159612,
      1.71441995434583,
      1.6805517796091574,
      1.647590348061073,
      1.615490178685098,
      1.5842109052684608,
      1.5537161326724866,
      1.5239726268180063,
      1.494950572563962,
      1.4666253600424386,
      1.438976150306134,
      1.4119826162846099,
      1.3856220061902995,
      1.359872958968324,
      1.3347151166828226,
      1.3101288952227736,
      1.2860955023693612,
      1.2625969337867577,
      1.2396159550759056,
      1.2171360763723817,
      1.1951415228870612,
      1.1736172037377783,
      1.1525486796586117,
      1.1319228871092213,
      1.1117279777348508,
      1.091952617422523,
      1.0725859105465334,
      1.0536169554673236,
      1.0350349766689246,
      1.0168294276189642,
      0.9989901095943371,
      0.9815075438658967,
      0.964372638899798,
      0.9475764458514079,
      0.9311102241246815,
      0.9149654767939401,
      0.899133967798025,
      0.8836077290000428,
      0.8683790590199187,
      0.8534405187731466,
      0.8387849239497749,
      0.8244053365836147,
      0.8102950560187828,
      0.796447608853306,
      0.7828567391857807,
      0.7695164000737744,
      0.7564207445615028,
      0.7435641165360468,
      0.7309410427545084,
      0.7185462251917061,
      0.7063745333385165,
      0.6944209967313759,
      0.6826807986533524,
      0.6711492694744757,
      0.659821880916746,
      0.648694239883253,
      0.637762082821664,
      0.6270212709056867,
      0.6164677848393514,
      0.6060976773858712,
      0.595907078575031,
      0.585892251505269,
      0.5760495817625325,
      0.5663755659012426,
      0.5568668034691238,
      0.5475199903071322,
      0.5383319131190828,
      0.5292994447218989,
      0.5204195513928863,
      0.5116899627154641,
      0.5031087763391904,
      0.4946737612506371,
      0.4863825051477445,
      0.47823250442443843,
      0.47022122081147316,
      0.4623461164331467,
      0.45460467571203883,
      0.4469944181351081,
      0.43951290576168045,
      0.43215774796025436,
      0.4249266030293595,
      0.41781717896508463,
      0.4108273052634574,
      0.4039551367786115,
      0.39719883111785664,
      0.3905564669229817,
      0.384026089334532,
      0.37760573796369795,
      0.37129346466140295,
      0.36508734398338283,
      0.3589854794520878,
      0.352986007175189,
      0.34708717431101066,
      0.341287362608803,
      0.33558493587507837,
      0.32997824129726533,
      0.3244656277486433,
      0.31904545792126643,
      0.31371611493420504,
      0.3084760065027728,
      0.3033235912375622,
      0.29825737212275344,
      0.2932758658124969,
      0.28837760662812967,
      0.2835611503326973,
      0.2788250764990206,
      0.2741679893566499,
      0.26958847222827903,
      0.2650849366542095,
      0.2606558375418995,
      0.25629974600676186,
      0.25201531568204216,
      0.24780126123051566,
      0.2436563443590108,
      0.23957936466628812,
      0.2355691536144665,
      0.23162486060818652,
      0.2277458554092042,
      0.2239313532569221,
      0.22018046150280612,
      0.21649222533569282,
      0.21286565695717322,
      0.20929975417131655,
      0.2057935121626239,
      0.20234593111663313,
      0.19895602088396236,
      0.1956227597089954,
      0.19234506593521009,
      0.18912190451398841,
      0.18595229209599792,
      0.18283528406690813,
      0.1797699662714672,
      0.1767554496388731,
      0.17379086663567014,
      0.17087536863621838,
      0.16800812459082895,
      0.1651883195552721,
      0.16241515395580336,
      0.1596878429836,
      0.15700561588102607,
      0.1543677157044398,
      0.15177339897719466,
      0.1492219352201761,
      0.14671260684228254,
      0.14424470888173213,
      0.14181754848434355,
      0.1394304449564296,
      0.13708272927362106,
      0.13477374396084116,
      0.1325028429230276,
      0.1302693912589086,
      0.12807276477740498,
      0.12591235029700765,
      0.12378754505603944,
      0.12169775651152635,
      0.11964240234769052,
      0.1176209100646834,
      0.11563271708820398,
      0.11367727036322481,
      0.11175402616951242,
      0.10986245014481122,
      0.1080020169253658,
      0.10617220998073258,
      0.10437252171330968,
      0.10260245292558642,
      0.10086151291995943,
      0.09914921927033005,
      0.09746509783183632,
      0.09580868228843428,
      0.09417951426798632,
      0.09257714303911738,
      0.09100112543789395,
      0.08945102594133784,
      0.08792641611862008,
      0.08642687471451914,
      0.08495198761132362,
      0.08350134765381648,
      0.08207455451134707,
      0.08067121453542331,
      0.07929094060915436,
      0.07793335200091989,
      0.07659807443154631,
      0.07528473995462368,
      0.07399298668484502,
      0.07272245865291564,
      0.07147280606370932,
      0.07024368468580397,
      0.06903475617493443,
      0.06784568775612129,
      0.06667615229617874,
      0.06552582804936825,
      0.06439439856977885,
      0.0632815526141246,
      0.06218698423556208,
      0.061110392547374145,
      0.060051481626083064,
      0.05900996028657867,
      0.05798554234594412,
      0.0569779463551033,
      0.05598688195913164,
      0.055012017919048535,
      0.05405303844741011,
      0.05310965127703233,
      0.05218158088410126,
      0.051268564104358094,
      0.050370347141564305,
      0.04948668373526489,
      0.04861733366209659,
      0.04776206221150295,
      0.04692063931941643,
      0.04609283934995932,
      0.04527844071554685,
      0.044477225734976096,
      0.04368898026804272,
      0.042913493935925924,
      0.042150559789840794,
      0.04139997426322077,
      0.040661537305284316,
      0.039935051993637914,
      0.039220324585254554,
      0.03851716461106139,
      0.03782538468447305,
      0.037144800394750606,
      0.03647523043414157,
      0.03581649637485148,
      0.03516842262197883,
      0.0345308364921929,
      0.03390356811902285,
      0.03328645040072976,
      0.032679319016098766,
      0.032082012202733434,
      0.03149437087657321,
      0.030916238506627874,
      0.030347461114366644,
      0.029787887193762085,
      0.029237367711075452,
      0.0286957561078653,
      0.028162908154190723,
      0.02763868200190027,
      0.02712293806285009,
      0.02661553894649265,
      0.026116349558667318,
      0.025625237018532313,
      0.025142070635236827,
      0.024666721746143455,
      0.024199063818015603,
      0.02373897236531078,
      0.02328632493378862,
      0.022841000875491888,
      0.02240288176102465,
      0.02197185099840363,
      0.021547793895113458,
      0.021130597595605018,
      0.02072015098262979,
      0.020316344870399638,
      0.019919071786923464,
      0.019528225928247267,
      0.019143703265783605,
      0.01876540153298777,
      0.018393220092054536,
      0.018027059857557575,
      0.017666823474460865,
      0.01731241498098437,
      0.016963740113373177,
      0.01662070612074961,
      0.016283221726269233,
      0.015951197144479783,
      0.015624543964798607,
      0.015303175237527892,
      0.014987005469997577,
      0.014675950533179957,
      0.014369927745526813,
      0.014068855713956442,
      0.013772654205565601,
      0.013481244450104842,
      0.013194548939278381,
      0.012912491339066013,
      0.012634996603720748,
      0.012361991037820784,
      0.012093402019802389,
      0.011829157997150057,
      0.011569188752832346,
      0.011313424958019793,
      0.01106179868894681,
      0.010814242969669258,
      0.010570691941939157,
      0.010331080848514446,
      0.01009534596991732,
      0.00986342457802147,
      0.009635254944439746,
      0.009410776403647963,
      0.009189929216746695,
      0.008972654648862172,
      0.008758894923078428,
      0.008548593101872096,
      0.008341693245263095,
      0.008138140350577104,
      0.007937880282844924,
      0.007740859823115426,
      0.007547026542285227,
      0.007356328888106269,
      0.007168716160906294,
      0.006984138371854453,
      0.006802546460354587,
      0.006623892082198378,
      0.006448127757240806,
      0.006275206676749444,
      0.0061050828946619135,
      0.005937711160304047,
      0.005773046886832854,
      0.005611046276241129,
      0.005451666413455896,
      0.005294864760489641,
      0.005140599651747805,
      0.004988829983830437,
      0.00483951536637752,
      0.004692616058533571,
      0.004548093080242957,
      0.004405908021162458,
      0.004266023080739865,
      0.004128400964275364,
      0.003993005099134845,
      0.0038597994974912293,
      0.0037287486788840714,
      0.00359981779794713,
      0.003472972520332988,
      0.003348179199778562,
      0.0032254045995595477,
      0.003104616105613643,
      0.0029857815476468353,
      0.002868869269958768,
      0.0027538481280928945,
      0.0026406875892405987,
      0.0025293576314159155,
      0.0024198286256423055,
      0.002312071480485237,
      0.0022060575276882394,
      0.002101758537019101,
      0.0019991467326307823,
      0.001898194817602706,
      0.0017988758667076582,
      0.0017011635579722104,
      0.001605031859332148,
      0.0015104551936577658,
      0.0014174084910921671,
      0.0013258669695424777,
      0.0012358063110575676,
      0.0011472025091226565,
      0.0010600319526175147,
      0.0009742714092952397,
      0.0008898982144210292,
      0.0008068899594176599,
      0.0007252244481685665,
      0.0006448799789404119,
      0.0005658351255990448,
      0.0004880689523745445,
      0.0004115608237079505,
      0.00033629030397608675,
      0.0002622373255206386,
      0.00018938217320343332,
      0.00011770552826679355,
      4.71882966703333e-05,
      -2.2188128397040326e-05,
      -9.044221341768597e-05,
      -0.00015759212136392124,
      -0.00022365569417561907,
      -0.00028865063086434557,
      -0.00035259425799330686,
      -0.0004155035595808026,
      -0.00047739523104457386,
      -0.0005382856430725184,
      -0.0005981909628421415,
      -0.0006571271987068322,
      -0.0007151101165550755,
      -0.0007721550919039889,
      -0.0008282773993503937,
      -0.0008834918587945044,
      -0.0009378131483308679,
      -0.0009912555881713904,
      -0.0010438335403743658,
      -0.00109556103915343,
      -0.0011464517441429453,
      -0.0011965191848983287,
      -0.0012457766166257026,
      -0.001294237193281574,
      -0.0013419139046734327,
      -0.001388819417559127,
      -0.0014349661824923138,
      -0.001480366546520363,
      -0.001525032477032678,
      -0.0015689758315390974,
      -0.0016122083278743344,
      -0.0016547415138647287,
      -0.0016965867425336443,
      -0.0017377550896357818,
      -0.0017782574797618061,
      -0.0018181046656007625,
      -0.0018573072765928477,
      -0.001895875625215964,
      -0.00193382004658907,
      -0.001971150646274716,
      -0.002007877397173304,
      -0.0020440100452552086,
      -0.00207955820498727,
      -0.0021145312380602224,
      -0.0021489385127684254,
      -0.0021827892436073965,
      -0.0022160924383424715,
      -0.0022488569081354722,
      -0.0022810913146388734,
      -0.002312804324827502,
      -0.0023440043653537037,
      -0.0023746997000627917,
      -0.0024048983732032113,
      -0.0024346084322077652,
      -0.0024638378952982504,
      -0.002492594719674445,
      -0.0025208863489817406,
      -0.002548720283596301,
      -0.0025761039571017934
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334631359690533,
      10.093212520409159,
      9.845334970024043,
      9.593841889455806,
      9.34124805339918,
      9.089721267098941,
      8.841062328451553,
      8.596701117415476,
      8.357692541891057,
      8.12473284823094,
      7.898195990068129,
      7.678180283993134,
      7.464560801328494,
      7.257043073608167,
      7.055214495223453,
      6.858590900475275,
      6.666657200330041,
      6.47890106641666,
      6.294838885954646,
      6.114035631721229,
      5.9361156535818465,
      5.760760690993265,
      5.587718872720145,
      5.416823051080002,
      5.247985720203012,
      5.081183319210429,
      4.916467011206965,
      4.753984151971682,
      4.59398923295216,
      4.436790156217441,
      4.282721055196624,
      4.132143980812428,
      3.98544544517664,
      3.8430102760086955,
      3.7052010952509318,
      3.572345339415266,
      3.4447255238132137,
      3.3225724331271542,
      3.2060608510215194,
      3.0953068232322316,
      2.9903545324746754,
      2.8911763248404356,
      2.7976669025193623,
      2.709637279093408,
      2.626846265440299,
      2.549044027604241,
      2.4759715704511445,
      2.407364697274456,
      2.3429557076706873,
      2.282459923826207,
      2.2255530959397363,
      2.171855534752998,
      2.1210228504934387,
      2.072724104412677,
      2.0266496059205483,
      1.9825292589300025,
      1.9401474262870173,
      1.8993230808769672,
      1.8599067064042099,
      1.8217790715720998,
      1.7848357952876497,
      1.7489861378459945,
      1.7141565176050295,
      1.6802857304512635,
      1.6473216149622338,
      1.615218731891377,
      1.5839367431046756,
      1.5534392727426507,
      1.5236930997192721,
      1.4946685196935312,
      1.4663411563991604,
      1.4386902496883827,
      1.411695341661656,
      1.3853336144724362,
      1.3595836348175452,
      1.3344249913174815,
      1.3098380656801274,
      1.285804042726108,
      1.2623049030152678,
      1.2393234023984459,
      1.2168430445714706,
      1.1948480511996615,
      1.1733233288589382,
      1.1522544362783673,
      1.1316283282293973,
      1.111433157007964,
      1.0916575909244202,
      1.0722907289845705,
      1.0533216621759187,
      1.0347396102652286,
      1.0165340229626583,
      0.9986947653105306,
      0.9812124462404972,
      0.9640779136973081,
      0.9472821808344077,
      0.9308164824228828,
      0.9146723057869997,
      0.8988414047481804,
      0.8833158045134782,
      0.8680877993103859,
      0.8531499472406867,
      0.8384950623837858,
      0.8241162054842307,
      0.8100066749525213,
      0.7961599967941958,
      0.7825699147662865,
      0.769230381669611,
      0.75613555018628,
      0.7432797639778688,
      0.7306575494457054,
      0.7182636083216796,
      0.7060928095220413,
      0.6941401824537008,
      0.6824009102977687,
      0.6708703231613811,
      0.6595438922053746,
      0.6484172238943918,
      0.6374860547824095,
      0.6267462456427697,
      0.6161937766441418,
      0.6058246998434528,
      0.5956351448159058,
      0.5856213742692168,
      0.5757797735798369,
      0.5661068395717512,
      0.5565991715679219,
      0.5472534651406715,
      0.53806650652027,
      0.5290351683205452,
      0.5201564600355428,
      0.5114281692024267,
      0.5028483531072391,
      0.4944147555493743,
      0.4861249478799066,
      0.4779764159745529,
      0.4699666148746922,
      0.4620930023650674,
      0.4543530599424909,
      0.4467443052353488,
      0.43926429924513877,
      0.43191065026058284,
      0.4246810159273231,
      0.41757310380449175,
      0.4105847554189232,
      0.40371414173063097,
      0.3969594086342741,
      0.39031862733919664,
      0.38378983801802047,
      0.3773710773244376,
      0.37106039507924315,
      0.3648558644188891,
      0.3587555879211825,
      0.35275770122967837,
      0.34686046087650085,
      0.34106224842718497,
      0.33536142341733644,
      0.32975633012447825,
      0.32424531580942517,
      0.31882674179661846,
      0.31349899025304295,
      0.3082604681852131,
      0.30310963599758645,
      0.2980449965733488,
      0.29306506533171545,
      0.28816837582049326,
      0.2833534833839631,
      0.27861896724693147,
      0.2739634313840644,
      0.2693854610254809,
      0.26488347049210326,
      0.2604559126891528,
      0.25610135749918683,
      0.2518184577663483,
      0.24760592763827496,
      0.24346252839897525,
      0.23938705938973562,
      0.23537835188903913,
      0.23143554698430407,
      0.22755801376722046,
      0.22374497049122472,
      0.21999552638363354,
      0.21630872777134563,
      0.2126835874118405,
      0.20911910360539168,
      0.20561427184667955,
      0.2021680924707391,
      0.19877957538039584,
      0.1954476946015519,
      0.19217136815136235,
      0.18894956277556754,
      0.1857812961331299,
      0.18266562426773034,
      0.1796016334860977,
      0.17658843490826837,
      0.17362516112359858,
      0.1707109637203575,
      0.16784501154660864,
      0.16502648967764935,
      0.16225459854703395,
      0.1595285534037808,
      0.1568475833822118,
      0.1542109315436708,
      0.15161785455436716,
      0.149067621865955,
      0.14655951570056985,
      0.1440928311095128,
      0.14166687522792568,
      0.1392809672701502,
      0.13693443822870785,
      0.13462663064559013,
      0.13235689850008975,
      0.13012460682510774,
      0.12792913151583132,
      0.12576985915789687,
      0.12364618708559531,
      0.12155752278637036,
      0.11950328391554912,
      0.11748289803705768,
      0.11549580243418509,
      0.11354144409702986,
      0.11161927942948494,
      0.10972877396756907,
      0.10786940240076587,
      0.10604064824793559,
      0.10424200371502933,
      0.1024729698104274,
      0.10073305589148647,
      0.09902177962094594,
      0.09733866676666429,
      0.09568325106062825,
      0.09405507402771271,
      0.09245368496179948,
      0.090878640839671,
      0.08932950602599905,
      0.0878058523156115,
      0.08630725853084241,
      0.08483331049026023,
      0.08338360090301254,
      0.08195772955473495,
      0.08055530280932116,
      0.07917593357903549,
      0.07781924129607987,
      0.0764848516364784,
      0.07517239663891843,
      0.07388151456953494,
      0.07261184956119646,
      0.07136305176999114,
      0.07013477712745429,
      0.06892668721223512,
      0.0677384493175601,
      0.06656973631332874,
      0.06542022650016044,
      0.06428960345185188,
      0.0631775559881355,
      0.06208377811613257,
      0.061007968974817715,
      0.05994983271940037,
      0.05890907826154164,
      0.05788541954619385,
      0.056878575140628385,
      0.05588826822599062,
      0.05491422662478942,
      0.0539561735509021,
      0.053013794028379996,
      0.052086779337343486,
      0.05117484477795278,
      0.05027772256134314,
      0.04939515720006272,
      0.04852690279062747,
      0.04767272072080884,
      0.04683237840367051,
      0.04600564875024747,
      0.04519230926847119,
      0.044392141711343536,
      0.04360493163912362,
      0.04283046848925064,
      0.0420685452791899,
      0.04131895849152043,
      0.040581507985160914,
      0.03985599689065973,
      0.03914223166118327,
      0.03844002194224061,
      0.03774918054913944,
      0.03706952318933822,
      0.03640086860277916,
      0.0357430384471424,
      0.035095857282923984,
      0.03445915263365901,
      0.0338327547391637,
      0.03321649670750221,
      0.03261021421360565,
      0.03201374562108223,
      0.03142693189195965,
      0.03084961670355084,
      0.030281646200459762,
      0.029722869093309325,
      0.029173136398519983,
      0.028632301632293584,
      0.028100220734018987,
      0.0275767518787433,
      0.027061755609801914,
      0.02655509475754379,
      0.02605663435490555,
      0.025566241440152498,
      0.025083785452973895,
      0.024609137927051675,
      0.024142172407487394,
      0.023682764452102868,
      0.02323079178056418,
      0.022786134018369285,
      0.022348672709131524,
      0.02191829133918944,
      0.021494875320152682,
      0.02107831187610215,
      0.02066848997386685,
      0.020265300568952316,
      0.019868636178420707,
      0.019478391261356795,
      0.01909446185005925,
      0.01871674579158477,
      0.018345142487515415,
      0.017979552932226913,
      0.017619879859507453,
      0.017266027469331938,
      0.01691790147882233,
      0.016575409178820548,
      0.016238459388576622,
      0.015906962346437566,
      0.015580829822411277,
      0.015259975103295511,
      0.014944312683988282,
      0.014633758568951922,
      0.014328230031773245,
      0.014027645697761056,
      0.013731925568565406,
      0.013440990905553164,
      0.01315476434098835,
      0.012873169682625075,
      0.012596131913970826,
      0.012323577250195493,
      0.012055433077298963,
      0.011791628131955806,
      0.011532092113750031,
      0.01127675598832049,
      0.011025551767461297,
      0.010778412586021925,
      0.010535272668309307,
      0.010296067312228098,
      0.010060732775042162,
      0.009829206386064675,
      0.009601426555099634,
      0.009377332670886742,
      0.009156865047625126,
      0.00893996502171759,
      0.008726574842409672,
      0.008516637801302265,
      0.008310097984624759,
      0.008106900289056656,
      0.007906990657019114,
      0.007710315896575678,
      0.007516823765177714,
      0.007326462771078675,
      0.007139182149370655,
      0.0069549320889845095,
      0.006773663486280226,
      0.006595328051381783,
      0.006419878385679907,
      0.006247267802314471,
      0.006077450390998761,
      0.005910380895099503,
      0.005746014921965509,
      0.0055843087243038015,
      0.005425219206383393,
      0.0052687039968170495,
      0.0051147214730132935,
      0.004963230699613641,
      0.004814191356855323,
      0.004667563652241411,
      0.004523308616058045,
      0.004381387852992271,
      0.004241763607648784,
      0.004104398756301351,
      0.0039692566803919815,
      0.003836301357998558,
      0.0037054974958896847,
      0.0035768102895180117,
      0.003450205464331537,
      0.003325649204779218,
      0.0032031083842283953,
      0.0030825505176346607,
      0.0029639435769370534,
      0.0028472558589893136,
      0.0027324563122151807,
      0.002619514325872769,
      0.0025083999091067297,
      0.0023990835157514647,
      0.0022915360429691797,
      0.002185728926923868,
      0.0020816339542061068,
      0.0019792233293639493,
      0.0018784699091817098,
      0.0017793468352167911,
      0.0016818277529898574,
      0.001585886702162713,
      0.001491498084350939,
      0.00139863671547453,
      0.0013072779430961985,
      0.0012173976070625995,
      0.0011289716835852087,
      0.0010419765472955047,
      0.0009563891713247365,
      0.0008721867819985434,
      0.0007893468906148231,
      0.0007078474658769327,
      0.0006276667838896231,
      0.0005487835845475006,
      0.00047117684788296573,
      0.0003948258836225173,
      0.0003197103770347552,
      0.0002458103855291058,
      0.00017310626024660472,
      0.00010157860742673248,
      3.120840912819956e-05,
      -3.802312757275481e-05,
      -0.00010613442184942198,
      -0.0001731435786707796,
      -0.00023906838362332174,
      -0.00030392641069368435,
      -0.00036773493873965474,
      -0.0004305109112098887,
      -0.0004922710662146448,
      -0.0005530318304719727,
      -0.0006128094793308486,
      -0.0006716198951204354,
      -0.0007294786296920752,
      -0.0007864010990160598,
      -0.0008424025355789851,
      -0.0008974978319468192,
      -0.0009517015290344917,
      -0.0010050281597136766,
      -0.0010574919430834235,
      -0.001109106719547858,
      -0.0011598862151141818,
      -0.0012098439424897383,
      -0.0012589932096184735,
      -0.0013073472801034196,
      -0.001354918992758906,
      -0.001401720901060051,
      -0.0014477655132534455,
      -0.0014930650233479096,
      -0.0015376314417666148,
      -0.0015814766997514574,
      -0.001624612479760228,
      -0.0016670503061177139,
      -0.0017088013928162219,
      -0.0017498768658131144,
      -0.0017902877621799476,
      -0.001830044780789506,
      -0.0018691584961316203,
      -0.0019076393169031435,
      -0.0019454974952946161,
      -0.0019827430399997257,
      -0.0020193858953851435,
      -0.0020554358342660325,
      -0.0020909023435567962,
      -0.002125794909702511,
      -0.0021601228267764104,
      -0.0021938952331472697,
      -0.002227121070871156,
      -0.00225980924805441,
      -0.0022919686038908424,
      -0.002323607606127242,
      -0.002354734619857773,
      -0.0023853579847456785,
      -0.002415485869708706,
      -0.002445126254312448,
      -0.002474286985457541,
      -0.00250297581408389,
      -0.0025312004067075534,
      -0.0025589682803256702,
      -0.0025862868254652904
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33462707404078,
      10.093198333766336,
      9.845305147633852,
      9.59379159422948,
      9.34117390105568,
      9.089620992121203,
      8.840934613916586,
      8.596545434708549,
      8.357508797004837,
      8.12452122207721,
      7.897956812740751,
      7.677913941976956,
      7.464267678503944,
      7.256723519912892,
      7.054868817321775,
      6.858219375125262,
      6.6662600770268226,
      6.478478617568718,
      6.294391460670616,
      6.113563720665988,
      5.9356199559149,
      5.760242177509664,
      5.587178816252172,
      5.416262982896777,
      5.247407316982652,
      5.08058841397351,
      4.915857724092329,
      4.753363346085294,
      4.5933604523395415,
      4.436156968172403,
      4.28208703250015,
      4.13151279618305,
      3.9848208597813772,
      3.842395836996497,
      3.7046000816958107,
      3.5717607114927676,
      3.44415987913397,
      3.3220279757557605,
      3.2055393720529057,
      3.0948096175888162,
      2.989882337781908,
      2.89072935716399,
      2.797244745479689,
      2.709238850752271,
      2.6264700749950953,
      2.5486884858201004,
      2.4756348701256488,
      2.4070449480742617,
      2.3426510459158485,
      2.282168424731905,
      2.2252723631372557,
      2.171583231668593,
      2.1207568847496217,
      2.0724625132902825,
      2.0263906797236695,
      1.9822716726211365,
      1.9398901982591537,
      1.8990654846243407,
      1.8596482279199464,
      1.8215192082333758,
      1.7845740538089383,
      1.7487221764519245,
      1.713890118827891,
      1.6800167634188816,
      1.647050007802037,
      1.6149444536475612,
      1.5836597910844838,
      1.5531596632785831,
      1.5234108620034472,
      1.4943837981802948,
      1.4660543245202913,
      1.4384017604097366,
      1.4114055170578934,
      1.3850427104118885,
      1.35929183539876,
      1.3341324266713732,
      1.3095448309406557,
      1.2855102107894196,
      1.2620105318476749,
      1.239028540147748,
      1.216547733650895,
      1.1945523300225502,
      1.1730272328521871,
      1.1519579991398523,
      1.1313316026090674,
      1.1111361955832963,
      1.091360448791229,
      1.071993457041765,
      1.0530243036035556,
      1.0344422028312026,
      1.0162366008023738,
      0.9983974839089118,
      0.980915469000406,
      0.9637813521782127,
      0.9469861133213211,
      0.930520966010293,
      0.9143773838802974,
      0.8985471118786029,
      0.8830221694422595,
      0.8677948470378252,
      0.8528577005356476,
      0.8382035423275042,
      0.8238254322007903,
      0.8097166674586516,
      0.7958707737493705,
      0.7822814944968575,
      0.7689427819255478,
      0.7558487884187601,
      0.7429938576293159,
      0.7303725158724219,
      0.7179794643998939,
      0.7058095718522424,
      0.6938578674266619,
      0.6821195338442058,
      0.6705899007187882,
      0.6592644392338941,
      0.6481387556446963,
      0.6372085861055997,
      0.6264697909927645,
      0.6159183503501721,
      0.6055503151526085,
      0.5953618148318023,
      0.5853491120168164,
      0.5755085920632494,
      0.5658367512887073,
      0.5563301888301633,
      0.5469855996991217,
      0.5377997700211179,
      0.5287695721694915,
      0.5198920589705078,
      0.5111650762860142,
      0.5025866406736458,
      0.49415447048283695,
      0.4858661209127839,
      0.47771906759285665,
      0.4697107588678416,
      0.46183864817724757,
      0.4541002140108865,
      0.4464929719819633,
      0.4390144819034555,
      0.431662351081944,
      0.4244342366080192,
      0.4173278453457689,
      0.41034103945185435,
      0.4034719943337395,
      0.3967188453866071,
      0.3900796571066099,
      0.38355246538787396,
      0.37713530428272063,
      0.37082622168250917,
      0.36462328937891203,
      0.35852460923194696,
      0.35252831613909136,
      0.34663267624546,
      0.34083607090491136,
      0.3351368554174081,
      0.3295333710977028,
      0.32402396342616524,
      0.3186069925218045,
      0.31328083972308285,
      0.30804391161727285,
      0.30289467008310594,
      0.297831617570259,
      0.29285326852754573,
      0.28795815568843947,
      0.28314483401347706,
      0.27841188237644215,
      0.27375790446805,
      0.2691814873716923,
      0.2646810479935272,
      0.26025503748579787,
      0.2559020245302715,
      0.25162066126523175,
      0.24740966117746802,
      0.24326778533803284,
      0.23919383273567452,
      0.23518663433200596,
      0.23124532294161587,
      0.22736926706837274,
      0.22355768785809177,
      0.21980969648279494,
      0.21612434037381073,
      0.2125006331159671,
      0.20893757330730245,
      0.2054341566174801,
      0.20198938362452665,
      0.19860226428730077,
      0.19527176823845838,
      0.1919968133877865,
      0.18877636827756566,
      0.18560945157735625,
      0.182495119952918,
      0.17943246018734543,
      0.17642058380925726,
      0.17345862340580598,
      0.1705457306987045,
      0.16768107455676864,
      0.16486384005187865,
      0.1620932276529564,
      0.15936845245986755,
      0.15668874367955685,
      0.15405334431073825,
      0.15146151083401235,
      0.14891251278565315,
      0.1464056324879394,
      0.14394016484039987,
      0.14151541701902534,
      0.13913070816566575,
      0.13678536941096434,
      0.13447874320034192,
      0.13221018339743937,
      0.12997905502052368,
      0.12778473412040353,
      0.1256266073101636,
      0.12350407174675822,
      0.12141653491613717,
      0.119363414507536,
      0.11734413812254664,
      0.11535814303448129,
      0.11340487620772872,
      0.11148379403576185,
      0.10959436208505148,
      0.10773605496953877,
      0.10590835633171837,
      0.1041107585348738,
      0.10234276249910636,
      0.10060387762283735,
      0.09889362143976982,
      0.09721151975538096,
      0.09555710635954005,
      0.09392992284887344,
      0.09232951864761516,
      0.09075545073723049,
      0.08920728339320774,
      0.08768458841136344,
      0.08618694457455872,
      0.08471393779594878,
      0.083265160918263,
      0.08184021366808411,
      0.0804387025036564,
      0.07906024037221443,
      0.07770444677074213,
      0.07637094744139951,
      0.07505937434407785,
      0.07376936574364429,
      0.07250056597920575,
      0.07125262515721183,
      0.07002519915447061,
      0.0688179497092172,
      0.06763054413895125,
      0.06646265537129993,
      0.06531396174748387,
      0.06418414683598582,
      0.0630728995483939,
      0.06197991393806886,
      0.06090488921797738,
      0.05984752955910404,
      0.058807543964625,
      0.05778464645151317,
      0.05677855549334421,
      0.055788994399660785,
      0.05481569114982303,
      0.05385837808878822,
      0.052916791982745175,
      0.05199067104579559,
      0.051079719039329785,
      0.0501836323389495,
      0.04930213233395328,
      0.04843495775680058,
      0.047581860212254794,
      0.046742601013068444,
      0.045916948793377904,
      0.04510467835603184,
      0.04430556976933085,
      0.04351940774158043,
      0.04274598102257055,
      0.041985082240663975,
      0.04123650781824704,
      0.04050005753266969,
      0.039775534497249354,
      0.03906274518346837,
      0.038361499411575094,
      0.03767160998202569,
      0.03699289269658127,
      0.03632516645176531,
      0.03566825299053453,
      0.0350219771680486,
      0.03438616646560523,
      0.03376065131641332,
      0.03314526480659675,
      0.032539842761674646,
      0.03194422377367344,
      0.031358249003416945,
      0.0307817621838135,
      0.0302146094927767,
      0.029656639741505793,
      0.02910770420332652,
      0.028567656515921143,
      0.02803635273932223,
      0.027513651149329126,
      0.02699941237053679,
      0.026493499340281806,
      0.02599577716682959,
      0.025506113199976952,
      0.025024376970237266,
      0.024550440040796054,
      0.02408417610948464,
      0.023625460762623243,
      0.023174171757715772,
      0.02273018886950552,
      0.022293393705569927,
      0.021863669858437414,
      0.021440902888666305,
      0.021024980142248465,
      0.020615790764451383,
      0.020213225729894684,
      0.019817177721099866,
      0.01942754122967733,
      0.01904421240366732,
      0.018667089048065105,
      0.018296070745749286,
      0.017931058648795208,
      0.017571955606383662,
      0.01721866575843898,
      0.0168710949808849,
      0.01652915077736304,
      0.01619274195479023,
      0.015861778927606044,
      0.015536173557438505,
      0.015215839093762767,
      0.014900690145659324,
      0.014590642785940354,
      0.01428561434923911,
      0.01398552359772938,
      0.013690290644259012,
      0.013399836785474024,
      0.013114084663914692,
      0.012832958225413586,
      0.012556382516275675,
      0.012284283828316957,
      0.012016589657716596,
      0.011753228789737832,
      0.011494131082836095,
      0.011239227479968483,
      0.010988450189290438,
      0.010741732278284951,
      0.010499008009071187,
      0.01026021272686468,
      0.010025282899083268,
      0.009794155942284402,
      0.009566770231025064,
      0.009343065256958863,
      0.009122981397810056,
      0.008906460001434347,
      0.008693443435559878,
      0.008483874995335853,
      0.008277698814337792,
      0.008074860065250714,
      0.007875304642665108,
      0.0076789793901935665,
      0.007485832012315227,
      0.007295811123842529,
      0.007108866168944759,
      0.006924947267496584,
      0.006744005451733295,
      0.0065659925122560385,
      0.006390861012458999,
      0.006218564299430558,
      0.006049056588060743,
      0.005882292654393319,
      0.0057182280521156275,
      0.005556819154660877,
      0.005398022881978725,
      0.005241796958048701,
      0.005088099865387133,
      0.004936890643995385,
      0.004788129048967183,
      0.004641775430284379,
      0.004497790774706981,
      0.004356136813291676,
      0.004216775762913681,
      0.004079670489897138,
      0.003944784523257582,
      0.003812081943194208,
      0.0036815273864762924,
      0.0035530861367227356,
      0.003426723917991606,
      0.003302407033863177,
      0.0031801024704974728,
      0.003059777614367839,
      0.0029414004932208247,
      0.0028249395551851538,
      0.002710363691102478,
      0.0025976424432609573,
      0.002486745745914713,
      0.0023776440743461173,
      0.0022703083672230375,
      0.0021647100397153784,
      0.002060820966610954,
      0.001958613524607241,
      0.0018580605792710113,
      0.0017591353278298366,
      0.0016618113464262757,
      0.0015660626709141853,
      0.0014718637457388681,
      0.0013791895844909134,
      0.0012880155318093886,
      0.001198317262185702,
      0.0011100708432718678,
      0.0010232528774311634,
      0.000937840231729332,
      0.0008538100615389302,
      0.0007711400326484535,
      0.0006898081827372549,
      0.0006097928859125145,
      0.0005310728125165777,
      0.00045362694062045695,
      0.0003774346771511767,
      0.0003024757070329062,
      0.00022873002796264128,
      0.00015617796090495523,
      8.48002891806425e-05,
      1.4578030299798784e-05,
      -5.450752408441845e-05,
      -0.00012247477347903442,
      -0.00018934185526493894,
      -0.00025512665879442174,
      -0.00031984662815165535,
      -0.0003835190027167155,
      -0.0004461607321151787,
      -0.0005077884790712854,
      -0.0005684187421626692,
      -0.0006280675768759069,
      -0.0006867508751815057,
      -0.0007444843259618372,
      -0.0008012833494562336,
      -0.0008571629352385304,
      -0.0009121379998709531,
      -0.0009662231656903463,
      -0.0010194328310225123,
      -0.0010717811819867039,
      -0.0011232821528293702,
      -0.0011739494871316652,
      -0.0012237967088825348,
      -0.0012728371120026543,
      -0.001321083729916756,
      -0.0013685493548973658,
      -0.0014152466582704232,
      -0.0014611881001610604,
      -0.001506385889362553,
      -0.0015508520312386065,
      -0.0015945983304888362,
      -0.0016376365837510278,
      -0.0016799781931664767,
      -0.0017216345166122388,
      -0.001762616581512719,
      -0.0018029352554195994,
      -0.0018426014095292826,
      -0.0018816255540885334,
      -0.0019200180324651156,
      -0.0019577890935481125,
      -0.0019949486965782056,
      -0.0020315068175212575,
      -0.0020674731573162115,
      -0.002102857300884158,
      -0.002137668716563472,
      -0.002171916589835938,
      -0.002205610177276024,
      -0.002238758308690969,
      -0.0022713699178867354,
      -0.002303453556113099,
      -0.0023350178202044504,
      -0.002366071087070117,
      -0.0023966218330697953,
      -0.0024266781519169177,
      -0.0024562479963864,
      -0.002485339222276479,
      -0.0025139595684865487,
      -0.0025421166680528393,
      -0.002569817963842307,
      -0.0025970708966930717
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334622762050016,
      10.093184066438733,
      9.84527516463566,
      9.593741035116707,
      9.341099364001847,
      9.089520195056089,
      8.840806226947372,
      8.596388920630623,
      8.357324055525918,
      8.124308431373354,
      7.897716299962063,
      7.677646091962782,
      7.463972873781159,
      7.256402108555784,
      7.054521105783473,
      6.857845641294961,
      6.665860571976042,
      6.478053616425056,
      6.293941315120755,
      6.113088923084346,
      5.935121206024711,
      5.759720449099096,
      5.586635385473746,
      5.415699385162297,
      5.246825232478087,
      5.079989678572437,
      4.915244462090241,
      4.752738431807285,
      4.592727445957465,
      4.4355194530102215,
      4.2814485987748325,
      4.130877135024473,
      3.9841917520362022,
      3.841776848434937,
      3.703994509020209,
      3.5711715330778846,
      3.443589709352342,
      3.3214790319027747,
      3.205013457337198,
      3.0943080378406065,
      2.989405840181725,
      2.890278165015102,
      2.7968184492508517,
      2.708836372206759,
      2.6260899225418712,
      2.548329069743471,
      2.47529438258178,
      2.4067214977535247,
      2.3423427664483873,
      2.2818733870879773,
      2.224988165298043,
      2.171307531830178,
      2.120487585810178,
      2.072197647578235,
      2.026128534293093,
      1.9820109202281697,
      1.9396298554402736,
      1.8988048244118416,
      1.8593867359434675,
      1.8212563816546996,
      1.7843093987653824,
      1.7484553504306697,
      1.7136209027744824,
      1.6797450243023537,
      1.6467756722107119,
      1.6146674889133852,
      1.5833801927509168,
      1.5528774464412274,
      1.5231260551623502,
      1.494096617583821,
      1.4657651172645938,
      1.438110962803466,
      1.4111134392281168,
      1.3847495994268457,
      1.3589978686484825,
      1.3338377303929951,
      1.3092494975721451,
      1.2852143106707066,
      1.261714121351683,
      1.23873166685204,
      1.2162504387525934,
      1.1942546503362452,
      1.1727292029491214,
      1.151659652358681,
      1.1310329911349215,
      1.1108373716320672,
      1.091061467312835,
      1.0716943679927722,
      1.052725148939015,
      1.0341430199355996,
      1.015937424071289,
      0.9980984709082922,
      0.9806167811938189,
      0.9634830996964481,
      0.9466883738384754,
      0.9302237962209021,
      0.9140808263433271,
      0.8982512004971623,
      0.8827269324173399,
      0.8675003090839286,
      0.8525638839555639,
      0.8379104679659768,
      0.8235331194140938,
      0.8094251351363015,
      0.7955800402531362,
      0.7819915776617415,
      0.7686536993775877,
      0.7555605575241939,
      0.742706495329468,
      0.7300860386838783,
      0.7176938889108532,
      0.7055249143177619,
      0.6935741440391878,
      0.6818367605352661,
      0.6703080932300424,
      0.6589836127706936,
      0.6478589253835566,
      0.6369297668266165,
      0.6261919972112012,
      0.6156415962343684,
      0.605274613593011,
      0.5950871782020822,
      0.5850755530012776,
      0.5752361231540344,
      0.565565385012953,
      0.5560599372318877,
      0.5467164747282318,
      0.5375317833046004,
      0.5285027349013895,
      0.5196264259180481,
      0.5109007605282788,
      0.5023237148804434,
      0.4938929816101151,
      0.4856060996038372,
      0.47746053408420003,
      0.4694537267426723,
      0.4615831265130932,
      0.4538462090990855,
      0.44624048821798296,
      0.4387635223085592,
      0.4314129178658014,
      0.4241863311126968,
      0.41708146869390095,
      0.4100962162651806,
      0.40322874946026843,
      0.39647719373608625,
      0.38983960717968846,
      0.3833140215059609,
      0.3768984678328171,
      0.37059099224490855,
      0.3643896655140649,
      0.35829258857309637,
      0.3522978958719817,
      0.34640386294549536,
      0.34060887103030246,
      0.33491127096656764,
      0.32930940172042067,
      0.3238016066909656,
      0.31838624477091154,
      0.3130616964999497,
      0.30782636896585214,
      0.3026787250079354,
      0.2976172658119683,
      0.29264050491433125,
      0.2877469746467981,
      0.2829352295029899,
      0.27820384784559604,
      0.2735514332769718,
      0.268976574534223,
      0.26447769117618397,
      0.2600532325918114,
      0.25570176635345626,
      0.25142194375497895,
      0.24721247797891321,
      0.24307212974452783,
      0.23899969773980778,
      0.2349940126230549,
      0.23105419889897724,
      0.22717962450994603,
      0.2233695135841454,
      0.2196229791251377,
      0.215939069657584,
      0.21231679948057902,
      0.20875516764325722,
      0.20525317018210193,
      0.20180980774135063,
      0.19842409029955319,
      0.19509498313606702,
      0.19182140392791738,
      0.18860232293907797,
      0.18543675996499995,
      0.1823237724721204,
      0.17926244756857138,
      0.17625189687431636,
      0.17329125326032724,
      0.1703796685367514,
      0.1675163116747451,
      0.16470036779887684,
      0.16193103725327868,
      0.1592075350444808,
      0.15652909050084277,
      0.1538949467284365,
      0.151304359957247,
      0.1487565996670648,
      0.14625094824084153,
      0.14378670051999667,
      0.14136316364307075,
      0.13897965690001743,
      0.13663551118264614,
      0.13433006895810298,
      0.13206268417483966,
      0.12983272186519204,
      0.12763955791516954,
      0.12548257897465584,
      0.12336118221639158,
      0.12127477515223237,
      0.11922277543754888,
      0.1172046107325683,
      0.1152197183407099,
      0.11326754525944276,
      0.11134754784217842,
      0.10945919157952527,
      0.10760195124723074,
      0.10577531048004374,
      0.10397876157850715,
      0.1022118054653237,
      0.10047395158745602,
      0.09876471759248044,
      0.09708362917871055,
      0.09543022018272183,
      0.09380403230632373,
      0.09220461486394602,
      0.09063152483634437,
      0.08908432667701566,
      0.08756259203000424,
      0.08606589986100768,
      0.08459383614941877,
      0.0831459937798898,
      0.08172197245196147,
      0.08032137862657404,
      0.07894382533097853,
      0.07758893200940212,
      0.076256324565391,
      0.07494563504502878,
      0.07365650161315944,
      0.07238856865955376,
      0.07114148628822477,
      0.0699149104478712,
      0.06870850288311549,
      0.06752193102703581,
      0.06635486784813519,
      0.06520699164421344,
      0.06407798621848139,
      0.06296754054147541,
      0.06187534869607162,
      0.06080110989223982,
      0.059744528313094465,
      0.05870531297642851,
      0.05768317779197116,
      0.05667784151938154,
      0.05568902756313772,
      0.054716463803674946,
      0.05375988261089216,
      0.05281902076275845,
      0.051893619565411456,
      0.05098342460522868,
      0.05008818555491671,
      0.049207630094090016,
      0.048341462572506176,
      0.047489408067503194,
      0.04665121049566486,
      0.045826627337704824,
      0.045015426273465206,
      0.04421738267321361,
      0.043432278040942636,
      0.042659899340202964,
      0.04190003791117216,
      0.04115248941601175,
      0.04041705321564753,
      0.039693532295083205,
      0.03898173302410706,
      0.038281465154097645,
      0.037592541471188345,
      0.036914777925657935,
      0.036247993522108835,
      0.03559201006548844,
      0.034946652496746576,
      0.03431174849005628,
      0.03368712851200844,
      0.033072625866318775,
      0.032468076571096405,
      0.031873319304034364,
      0.031288195408705026,
      0.03071254866297841,
      0.03014622553410851,
      0.029589074814190618,
      0.029040947837446325,
      0.028501698439851876,
      0.02797118267404065,
      0.027449258984797272,
      0.026935788240545034,
      0.026430633501319932,
      0.025933660004672995,
      0.025444735122223377,
      0.024963728355913626,
      0.024490511412827765,
      0.024024958091182554,
      0.02356694428920844,
      0.02311634783093514,
      0.02267304863065859,
      0.02223692842002919,
      0.021807870909983786,
      0.02138576165359379,
      0.02097048815297697,
      0.020561939555354215,
      0.020160006956986425,
      0.019764583199238652,
      0.019375562868672584,
      0.018992842189557498,
      0.01861631912600747,
      0.018245893338642186,
      0.017881466077622796,
      0.017522940164690682,
      0.017170219987480532,
      0.016823211596018253,
      0.01648182235305185,
      0.016145961207378726,
      0.015815538674012787,
      0.01549046676341579,
      0.015170658859029887,
      0.01485602965147849,
      0.014546495198386671,
      0.014241973046751302,
      0.013942381941688401,
      0.013647642022987985,
      0.013357674728323478,
      0.013072402809423867,
      0.012791750156444199,
      0.01251564203391905,
      0.012244004793903274,
      0.011976765962454783,
      0.011713854413362016,
      0.011455200038333833,
      0.011200733917256796,
      0.010950388302276943,
      0.010704096403005762,
      0.010461792518837014,
      0.010223412067420074,
      0.009988891522182259,
      0.009758168392126147,
      0.009531181199299544,
      0.009307869460199517,
      0.00908817362014234,
      0.008872035182419967,
      0.008659396478510734,
      0.008450200893613391,
      0.008244392727163024,
      0.008041917025113022,
      0.007842719790596288,
      0.00764674788006122,
      0.007453949163645376,
      0.007264272269820785,
      0.007077666638217922,
      0.0068940825247183115,
      0.0067134710098466855,
      0.00653578396580972,
      0.006360974096653377,
      0.006188994733518449,
      0.006019800026768122,
      0.005853344937816738,
      0.005689584960436303,
      0.0055284765507441665,
      0.005369976797016736,
      0.005214043473928133,
      0.005060635042255784,
      0.004909710587425946,
      0.004761229888220676,
      0.00461515338602125,
      0.004471442061291308,
      0.00433005770028648,
      0.004190962515977329,
      0.004054119623349597,
      0.003919492468221788,
      0.003787045141759698,
      0.003656742373150305,
      0.0035285494675915963,
      0.003402432207976949,
      0.003278357134517862,
      0.0031562910757684877,
      0.0030362014385441733,
      0.0029180563722319324,
      0.002801824313361135,
      0.0026874742497585346,
      0.0025749757323793687,
      0.0024642988001191074,
      0.002355413951404365,
      0.002248292181044468,
      0.0021429048534297233,
      0.002039223914741609,
      0.0019372217445754983,
      0.0018368712003068671,
      0.0017381454722499169,
      0.001641018232705454,
      0.0015454636411797915,
      0.0014514562551642878,
      0.0013589710196774323,
      0.0012679832386635168,
      0.0011784688089572814,
      0.0010904038138899608,
      0.001003764722055534,
      0.0009185284411797829,
      0.0008346722020348058,
      0.0007521736917783749,
      0.0006710109344758809,
      0.0005911623447265861,
      0.0005126066747457365,
      0.00043532302651623836,
      0.00035929076313032153,
      0.0002844896823967897,
      0.0002108997276772981,
      0.00013850126521327638,
      6.727503885503007e-05,
      -2.797911896801553e-06,
      -7.173621171611025e-05,
      -0.0001395582861458072,
      -0.00020628223067948448,
      -0.0002719257924540605,
      -0.00033650642733292456,
      -0.00040004141300184893,
      -0.00046254762385983993,
      -0.000524041826815192,
      -0.0005845402949408128,
      -0.0006440590942757172,
      -0.0007026141852971543,
      -0.0007602211096610799,
      -0.0008168953697476817,
      -0.0008726519614547767,
      -0.0009275057256435261,
      -0.0009814712663832503,
      -0.001034563065781884,
      -0.0010867952479082946,
      -0.001138181678923142,
      -0.0011887361108269033,
      -0.0012384720377839342,
      -0.0012874026284899124,
      -0.0013355408541650487,
      -0.0013828996668218613,
      -0.001429491719161526,
      -0.0014753292997217028,
      -0.0015204246866316214,
      -0.0015647899795079487,
      -0.0016084368987362432,
      -0.0016513771369606172,
      -0.0016936221123064904,
      -0.0017351829750615962,
      -0.0017760708296047742,
      -0.0018162966761189727,
      -0.0018558712374752934,
      -0.001894805065120233,
      -0.001933108542256861,
      -0.001970791810025999,
      -0.0020078649092986002,
      -0.002044337730771749,
      -0.0020802199712803334,
      -0.002115521190908644,
      -0.002150250786950834,
      -0.0021844179988260845,
      -0.0022180319954687826,
      -0.002251101669522297,
      -0.0022836359712567066,
      -0.002315643510903098,
      -0.0023471327328562883,
      -0.0023781120184061286,
      -0.002408589706118611,
      -0.0024385739017318666,
      -0.0024680726053128107,
      -0.0024970936859341373,
      -0.0025256448105220545,
      -0.002553733690326071,
      -0.0025813677356060416,
      -0.002608554352243692
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334618455755402,
      10.09316981587927,
      9.845245210952076,
      9.593690514430564,
      9.34102487039209,
      9.089419445131133,
      8.840677887625866,
      8.596232449381153,
      8.357139349582054,
      8.124095665216776,
      7.897475799476164,
      7.677378242163562,
      7.4636780570449055,
      7.256080674073214,
      7.0541733616067095,
      6.857471864942698,
      6.66546101413607,
      6.477628551342815,
      6.293491093136733,
      6.112614036471845,
      5.934622354112086,
      5.759198605532302,
      5.586091826347061,
      5.415135646043488,
      5.2462429946039615,
      5.0793907785519865,
      4.914631025094843,
      4.752113332958365,
      4.592094244382325,
      4.434881731138765,
      4.280809946134958,
      4.1302412418086645,
      3.983562399794531,
      3.8411576048344607,
      3.7033886708677044,
      3.570582077344505,
      3.443019248814194,
      3.3209297840015157,
      3.204487225040153,
      3.093806126257918,
      2.9889289959175804,
      2.889826611971687,
      2.7963917781045846,
      2.708433505305215,
      2.6257093711387487,
      2.547969246476119,
      2.4749534801640842,
      2.406397625899525,
      2.3420340613413884,
      2.281577956990152,
      2.2247036007242054,
      2.171031484941096,
      2.1202179547943465,
      2.071932461833189,
      2.02586608001441,
      1.9817498694457898,
      1.9393692249898737,
      1.8985438864420199,
      1.8591249756230648,
      1.8209932772669377,
      1.7840444508800177,
      1.748188225308051,
      1.7133513880058262,
      1.6794729910141581,
      1.6465010495243386,
      1.614390246189697,
      1.5831003271115254,
      1.5525949733494369,
      1.5228410026351378,
      1.4938092015565816,
      1.4654756853047284,
      1.4378199511060914,
      1.4108211573276601,
      1.3844562940863399,
      1.3587037175994237,
      1.333542859897627,
      1.3089540000344781,
      1.2849182564418706,
      1.2614175662029128,
      1.238434657249491,
      1.2159530152905722,
      1.1939568501426983,
      1.172431060810201,
      1.151361201375574,
      1.1307342822439324,
      1.1105384568238705,
      1.0907624011158086,
      1.0713952004074436,
      1.0524259223806087,
      1.033843771140104,
      1.0156382517989881,
      0.9977995608756727,
      0.9803182588742282,
      0.9631850526539689,
      0.946390864812139,
      0.9299268718247443,
      0.9137845232284127,
      0.8979555488839962,
      0.882431957922722,
      0.8672060344726213,
      0.8522703304130247,
      0.8376176552856839,
      0.8232410670330059,
      0.8091338618333209,
      0.7952895638831943,
      0.7817019163002035,
      0.7683648707482066,
      0.7552725791510286,
      0.7424193844482647,
      0.7297998123190651,
      0.7174085634062852,
      0.7052405062030077,
      0.6932906693587582,
      0.6815542349556272,
      0.6700265323128172,
      0.6587030317266336,
      0.6475793389945859,
      0.6366511896620288,
      0.6259144436053393,
      0.6153650801279602,
      0.6049991480586608,
      0.5948127761038063,
      0.5848022269580875,
      0.574963885749472,
      0.5652942486658111,
      0.5557899141608762,
      0.5464475770615578,
      0.5372640225712462,
      0.5282361222007508,
      0.5193610161032207,
      0.5106366663857073,
      0.5020610086107262,
      0.4936317102344026,
      0.48534629377935457,
      0.4772022139594434,
      0.4691969055575749,
      0.4613278134322839,
      0.45359241042249876,
      0.44598820829627633,
      0.43851276401344097,
      0.43116368335583105,
      0.4239386221328605,
      0.41683528630913264,
      0.4098515850619625,
      0.4029856942989025,
      0.39623572940792534,
      0.38959974196095676,
      0.3830757595652758,
      0.37666181060161047,
      0.37035593954602974,
      0.3641562158655141,
      0.35806073983997466,
      0.35206764516178013,
      0.346175216699531,
      0.3403818358974767,
      0.3346858493091032,
      0.32908559284816563,
      0.32357940828539083,
      0.3181656531802602,
      0.3128427072685087,
      0.3076089781839386,
      0.3024629294540583,
      0.2974030610581748,
      0.29242788588046215,
      0.2875359356537732,
      0.2827257644229376,
      0.27799595045189185,
      0.27334509682825403,
      0.26877179411439,
      0.26427446431093904,
      0.2598515551637945,
      0.255501633191694,
      0.25122334904026283,
      0.24701541526315138,
      0.24287659209355303,
      0.23880567801240316,
      0.23480150356977345,
      0.23086318499000966,
      0.2269900895313202,
      0.22318144423241326,
      0.21943636394493457,
      0.21575389846861798,
      0.2121330627823863,
      0.20857285636506845,
      0.2050722754203941,
      0.20163032061155559,
      0.19824600211733304,
      0.19491828096799738,
      0.19164607459787078,
      0.18842835500814886,
      0.18526414314884213,
      0.18215249702342626,
      0.17909250416983902,
      0.17608327651843111,
      0.17312394716352456,
      0.17021366790531076,
      0.16735160769404783,
      0.1645369515892765,
      0.16176890006721106,
      0.15904666810049087,
      0.15636948499547917,
      0.15373659371359716,
      0.15114725063008017,
      0.14860072523965798,
      0.14609629987973308,
      0.14363326931064235,
      0.14121094062970482,
      0.1388286331120177,
      0.1364856776987459,
      0.13418141684938784,
      0.1319152044538498,
      0.12968640547900764,
      0.12749439590917883,
      0.1253385623705992,
      0.12321830199781267,
      0.12113302232606464,
      0.11908214099340482,
      0.11706508556360093,
      0.11508129346914903,
      0.11313021167427813,
      0.11121129657223311,
      0.1093240137467089,
      0.10746783778927108,
      0.10564225245153429,
      0.10384675003202243,
      0.10208083145960542,
      0.10034400623984353,
      0.09863579195325416,
      0.09695571441701217,
      0.09530330749253858,
      0.09367811274872813,
      0.09207967969883961,
      0.09050756542179171,
      0.08896133422905841,
      0.08744055796736201,
      0.08594481552318162,
      0.084473692893221,
      0.08302678294873003,
      0.08160368544659133,
      0.08020400688692961,
      0.07882736030532607,
      0.07747336530154979,
      0.07614164766239018,
      0.07483183952799456,
      0.07354357922200663,
      0.07227651093821771,
      0.07103028496427939,
      0.06980455735081609,
      0.06859898990491024,
      0.06741324997760183,
      0.06624701066673395,
      0.06509995034098331,
      0.06397175266023576,
      0.06286210667580548,
      0.06177070653710622,
      0.0606972515512648,
      0.059641445933940315,
      0.058602998858687416,
      0.05758162436524805,
      0.056577041069872984,
      0.05558897231279499,
      0.05461714609700003,
      0.053661294946350704,
      0.05272115571044333,
      0.051796469764334885,
      0.05088698258574145,
      0.04999244394263421,
      0.04911260766457596,
      0.04824723179181664,
      0.04739606966101489,
      0.046558840779163724,
      0.04573527128779066,
      0.04492510833917519,
      0.04412811412933201,
      0.043344061627896655,
      0.04257273219454753,
      0.041813913730100925,
      0.04106739952400975,
      0.04033298756468877,
      0.039610479908972464,
      0.038899682309047064,
      0.03820040416847952,
      0.03751245826417569,
      0.03683566044305451,
      0.036169829762981526,
      0.03551478822008369,
      0.03487036072886201,
      0.034236375145405895,
      0.033612661964679685,
      0.03299905464535137,
      0.03239538933495076,
      0.03180150480280385,
      0.031217242523006738,
      0.03064244641141597,
      0.03007696293511027,
      0.029520641161347387,
      0.028973332600347696,
      0.028434891191333075,
      0.02790517313852907,
      0.027384036915520323,
      0.0268713434941714,
      0.02636695593455872,
      0.02587073970193966,
      0.025382562363160513,
      0.024902293545798065,
      0.024429805102252875,
      0.02396497099652049,
      0.023507667141579276,
      0.023057771569237023,
      0.022615164156077155,
      0.022179726802169904,
      0.02175134327090217,
      0.02132989919355735,
      0.02091528220024119,
      0.02050738160228999,
      0.020106088633140895,
      0.019711296219612047,
      0.01932289896937676,
      0.018940793362503313,
      0.01856487739697334,
      0.01819505075494459,
      0.017831214874352016,
      0.01747327260704124,
      0.017121128353226184,
      0.016774688316865936,
      0.016433859997785818,
      0.01609855249098721,
      0.01576867639093312,
      0.015444143663826274,
      0.015124867722444547,
      0.01481076346182367,
      0.014501747091034972,
      0.01419773613548384,
      0.013898649514242746,
      0.013604407457519205,
      0.013314931505589484,
      0.01303014441096363,
      0.012749970210826786,
      0.012474334208894785,
      0.01220316293709901,
      0.01193638410271184,
      0.011673926470151055,
      0.011415720020530805,
      0.011161695855083462,
      0.010911786249422158,
      0.010665924540485584,
      0.010424045151249514,
      0.010186083556118178,
      0.009951976326732505,
      0.009721661003997911,
      0.009495076183940377,
      0.009272161448489356,
      0.009052857268274973,
      0.008837105239859868,
      0.00862484784380316,
      0.008416028409858277,
      0.008210591270007271,
      0.008008481692551288,
      0.0078096457181240945,
      0.007614030285482671,
      0.0074215832455612266,
      0.007232253322354327,
      0.007045989981663301,
      0.006862743531777087,
      0.006682465208161538,
      0.006505106976008257,
      0.006330621386086306,
      0.006158961992920226,
      0.0059900829179132965,
      0.00582393907028127,
      0.005660486223788143,
      0.005499680894388886,
      0.005341480087819013,
      0.005185841670958484,
      0.0050327241617015425,
      0.004882086744479812,
      0.004733889249817549,
      0.0045880921876556525,
      0.0044446566239809545,
      0.004303544257153183,
      0.004164717502899325,
      0.004028139315003985,
      0.003893773313279612,
      0.0037615835581693235,
      0.0036315348422075386,
      0.0035035925329260204,
      0.0033777225510559167,
      0.0032538913132980187,
      0.003132065784911597,
      0.0030122134836736807,
      0.0028943023906429556,
      0.002778301021387219,
      0.0026641785252094546,
      0.0025519044558915097,
      0.0024414489066018124,
      0.0023327824497228686,
      0.0022258760150015654,
      0.002120701125216782,
      0.002017229784491506,
      0.0019154343494119557,
      0.0018152875919690344,
      0.0017167628599653315,
      0.0016198338579249381,
      0.0015244747601412176,
      0.0014306601729176442,
      0.0013383650984270816,
      0.0012475649447333671,
      0.001158235505637361,
      0.001070352891001403,
      0.0009838936683637949,
      0.0008988348663917544,
      0.000815153795607098,
      0.000732828118424983,
      0.0006518358632137276,
      0.0005721554205717933,
      0.0004937655476671752,
      0.0004166452594225372,
      0.0003407740833432533,
      0.0002661318198392293,
      0.00019269864133376728,
      0.00012045489342565084,
      4.9381259501609986e-05,
      -2.0541277011085394e-05,
      -8.933136725823259e-05,
      -0.00015700729396809604,
      -0.00022358711309705665,
      -0.00028908847668972145,
      -0.00035352884212886624,
      -0.0004169254706236565,
      -0.0004792953424260955,
      -0.0005406549752236999,
      -0.0006010207816914132,
      -0.0006604089369287501,
      -0.0007188351426902903,
      -0.0007763150390678817,
      -0.0008328640051631023,
      -0.0008884970410483321,
      -0.0009432289350120798,
      -0.0009970742771188016,
      -0.0010500474209970564,
      -0.0011021626038200867,
      -0.0011534336649491423,
      -0.001203874253171366,
      -0.0012534978801212056,
      -0.0013023177697691665,
      -0.0013503469358671053,
      -0.0013975982711258777,
      -0.0014440842670059217,
      -0.0014898173429561616,
      -0.0015348095830354483,
      -0.0015790730889753519,
      -0.0016226196332064298,
      -0.001665460838739015,
      -0.0017076081610859373,
      -0.0017490728314142317,
      -0.001789865919972646,
      -0.0018299982329870808,
      -0.001869480533315953,
      -0.0019083234299911512,
      -0.0019465372099806508,
      -0.001984131993098424,
      -0.0020211179561920914,
      -0.002057504832387795,
      -0.00209330235004493,
      -0.0021285200927384593,
      -0.002163167422657153,
      -0.002197253606210779,
      -0.0022307876341209126,
      -0.0022637785685538426,
      -0.0022962351522810127,
      -0.0023281660468138328,
      -0.002359579719939695,
      -0.0023904845553960603,
      -0.0024208887138682626,
      -0.0024508004451582657,
      -0.0024802277832511946,
      -0.0025091785778762893,
      -0.0025376604617141784,
      -0.0025656810268351402,
      -0.0025932477207320876,
      -0.0026203679520229715
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334614178344339,
      10.093155654946779,
      9.845215428408904,
      9.593640264774248,
      9.340950763100388,
      9.089319205040404,
      8.840550187979803,
      8.596076752938108,
      8.356955554271726,
      8.123883947671523,
      7.897236487690618,
      7.677111721354913,
      7.463384709481237,
      7.255760847374705,
      7.053827361195904,
      6.8570999655631715,
      6.665063465180713,
      6.4772056269020215,
      6.293043143550352,
      6.112141553387339,
      5.934126036308195,
      5.758679424656704,
      5.585551057261817,
      5.414574821773712,
      5.245663792439209,
      5.07879503088298,
      4.914020850913224,
      4.751491597949533,
      4.5914644971961085,
      4.4342475426303585,
      4.280174891964333,
      4.129608998152896,
      3.9829367310826616,
      3.8405420632595777,
      3.7027865299881055,
      3.5699962926819113,
      3.4424524193135704,
      3.3203841134960737,
      3.203964504545856,
      3.0933076506786024,
      2.9884555028369553,
      2.889378317718992,
      2.795968269124759,
      2.708033702512981,
      2.6253317851413716,
      2.547612289989877,
      2.474615349264244,
      2.4060764333475904,
      2.341727946181177,
      2.281285050459198,
      2.2244214957611805,
      2.170757837523422,
      2.11995066793635,
      2.0716695695168625,
      2.0256058740538663,
      1.9814910278715905,
      1.9391107687880162,
      1.8982850913816063,
      1.8588653289744483,
      1.8207322500693583,
      1.7837815432253399,
      1.7479231096822339,
      1.7130838559795032,
      1.6792029173625012,
      1.6462283666720474,
      1.6141149255780052,
      1.5828223665557162,
      1.5523143897967175,
      1.5225578256042107,
      1.4935236481884602,
      1.4651881040176105,
      1.4375307784823088,
      1.4105307036323231,
      1.3841648066415182,
      1.3584113740599273,
      1.3332497860098946,
      1.3086602881051832,
      1.2846239772893808,
      1.2611227766239592,
      1.2381394042715166,
      1.2156573402103876,
      1.1936607902660983,
      1.1721346509780437,
      1.1510644744625955,
      1.130437289792955,
      1.1102412511419895,
      1.0904650365491904,
      1.0710977269327304,
      1.052128382339531,
      1.033546201955202,
      1.0153407544375763,
      0.9975023201517188,
      0.9800213997042585,
      0.962888661826351,
      0.9460950044223997,
      0.9296315884789934,
      0.9134898532857898,
      0.8976615220368941,
      0.8821386000867557,
      0.8669133689247778,
      0.8519783783510393,
      0.8373264367245062,
      0.8229506010744729,
      0.8088441669712908,
      0.7950006587017404,
      0.7814138188357953,
      0.7680775988814944,
      0.7549861500962625,
      0.7421338152461102,
      0.7295151200377471,
      0.7171247647973124,
      0.7049576177018264,
      0.6930087069971598,
      0.6812732145930085,
      0.6697464696793984,
      0.6584239424310392,
      0.6473012379359764,
      0.6363740912454489,
      0.625638362073361,
      0.6150900294758299,
      0.6047251414571245,
      0.5945398264558408,
      0.5845303470390555,
      0.5746930881613486,
      0.5650245455795152,
      0.5555213176093772,
      0.5461800988440881,
      0.5369976742766615,
      0.527970915248982,
      0.5190970049361969,
      0.5103739637386722,
      0.5017996866864229,
      0.49337181575205785,
      0.4850878574247804,
      0.4769452558828118,
      0.4689414393035438,
      0.4610738480862521,
      0.45333995222746326,
      0.4457372616938394,
      0.4382633321399495,
      0.4309157683749159,
      0.42369222548354585,
      0.4165904090484153,
      0.409608251607427,
      0.40274392945981785,
      0.3959955479142287,
      0.38936115219448264,
      0.3828387658141501,
      0.3764264144816667,
      0.37012214077251376,
      0.3639240129637871,
      0.3578301304404059,
      0.3518386289330158,
      0.345947801444072,
      0.3401560266476703,
      0.334461647286371,
      0.3288629969219774,
      0.32335841570777574,
      0.3179462601593013,
      0.3126249092550185,
      0.3073927709787212,
      0.30224830999756586,
      0.29719002505225817,
      0.2922164282541736,
      0.2873260508449385,
      0.28251744649035765,
      0.27778919289140547,
      0.2731398928553377,
      0.2685681388758903,
      0.26407235574421123,
      0.25965098928878183,
      0.25530260487937745,
      0.2510258522650046,
      0.24681944356649307,
      0.2426821387135405,
      0.2386127359216814,
      0.234610065523695,
      0.2306732354688935,
      0.22680161231091694,
      0.22299442605471406,
      0.2192507934557589,
      0.21556976541552147,
      0.2119503576481594,
      0.2083915701045695,
      0.20489239926172648,
      0.20145184593345206,
      0.1980689201735887,
      0.19474257879369314,
      0.1914717391044666,
      0.18825537481130378,
      0.1850925079600406,
      0.181982197248732,
      0.1789235306121575,
      0.17591562022051518,
      0.1729575992509015,
      0.1700486195754556,
      0.16718785024927676,
      0.16437447639341624,
      0.16160769839332514,
      0.15888673126429925,
      0.15621080429725176,
      0.15357916036672214,
      0.15099105584138298,
      0.1484457602703642,
      0.14594255577517215,
      0.14348073715009654,
      0.14105961154704502,
      0.13867849818266859,
      0.13633672794649718,
      0.1340336433293604,
      0.13176859817591643,
      0.12954095748954786,
      0.12735009730302688,
      0.12519540418160457,
      0.12307627522897933,
      0.12099211803001468,
      0.11894235014925368,
      0.1169263993158797,
      0.11494370288367556,
      0.11299370774771439,
      0.1110758702917091,
      0.10918965625161287,
      0.1073345402023018,
      0.10551000570929156,
      0.10371554519844586,
      0.10195065965121576,
      0.10021485853226941,
      0.09850765940831334,
      0.09682858821734805,
      0.09517717884752742,
      0.0935529729916136,
      0.0919555200847482,
      0.0903843770655245,
      0.08883910839202984,
      0.08731928589296233,
      0.08582448855862758,
      0.08435430233153209,
      0.08290832023288698,
      0.08148614205003339,
      0.08008737436867694,
      0.07871163034324571,
      0.07735852941417662,
      0.07602769753448727,
      0.07471876685927886,
      0.07343137556012636,
      0.07216516801063155,
      0.07091979455535519,
      0.06969491126865522,
      0.0684901799000301,
      0.0673052679893936,
      0.06613984852948429,
      0.06499360007797082,
      0.06386620633317826,
      0.06275735637435807,
      0.061666744444761244,
      0.06059406977616195,
      0.05953903670208246,
      0.05850135439868415,
      0.05748073692050446,
      0.05647690303161161,
      0.055489576044878086,
      0.05451848410468017,
      0.053563359717201546,
      0.0526239397813511,
      0.05169996559138696,
      0.05079118283692028,
      0.0498973413713495,
      0.04901819511385881,
      0.048153502100241025,
      0.04730302432661756,
      0.046466527827670856,
      0.04564378244893687,
      0.04483453609077194,
      0.04403851701191032,
      0.0432554731198427,
      0.04248516945529503,
      0.041727383242318124,
      0.04098190101834859,
      0.04024851618466591,
      0.03952702801477376,
      0.03881724069468309,
      0.038118962429880505,
      0.037432005181918505,
      0.036756184368189664,
      0.03609131881980821,
      0.03543723057805508,
      0.03479374456287537,
      0.03416068853895616,
      0.03353789323259829,
      0.032925192218188466,
      0.03232242168203817,
      0.03172942050830463,
      0.03114603027326432,
      0.030572095116333846,
      0.030007461665873172,
      0.02945197903138866,
      0.028905498786507187,
      0.02836787493622712,
      0.0278389638930403,
      0.0273186244120296,
      0.026806717452131056,
      0.026303106287570484,
      0.025807656399359453,
      0.02532023545815277,
      0.024840713302644937,
      0.02436896186938049,
      0.023904855225889636,
      0.023448269389729097,
      0.022999082390384076,
      0.022557174287818026,
      0.02212242720556632,
      0.02169472498698642,
      0.02127395341010519,
      0.02086000019181221,
      0.020452754791550922,
      0.02005210848100129,
      0.019657954267969808,
      0.019270186954480472,
      0.018888703036391855,
      0.018513400641412013,
      0.018144179498798124,
      0.017780941093733793,
      0.01742358840827265,
      0.017072026056704482,
      0.01672616021045022,
      0.016385898567541874,
      0.01605115033453252,
      0.015721826080293617,
      0.015397837964429664,
      0.01507909948195688,
      0.014765525575876513,
      0.014457032519834247,
      0.01415353807348208,
      0.013854961261631618,
      0.013561222228656408,
      0.013272242555077746,
      0.012987945172628086,
      0.01270825426544124,
      0.012433095195668075,
      0.012162394553999067,
      0.011896079922716447,
      0.01163408025964086,
      0.01137632573400956,
      0.011122747483298452,
      0.010873277845845446,
      0.010627850231446351,
      0.010386399195593856,
      0.010148860265505254,
      0.009915169979764493,
      0.009685266071837898,
      0.00945908720680254,
      0.009236573001413098,
      0.009017664130820002,
      0.008802302152924107,
      0.008590429501793966,
      0.008381989662553055,
      0.008176927127668342,
      0.00797518711551832,
      0.007776715749867535,
      0.007581460077473161,
      0.007389367917419005,
      0.007200388031887196,
      0.007014470071137598,
      0.0068315644268653825,
      0.006651622241220773,
      0.006474595437608579,
      0.006300436818351323,
      0.006129099930072175,
      0.0059605391488193535,
      0.005794709513647051,
      0.005631566696374581,
      0.005471067158546399,
      0.005313168025022787,
      0.00515782718283489,
      0.0050050031285992485,
      0.004854655155381231,
      0.004706743148661214,
      0.0045612276004554,
      0.004418069676825552,
      0.004277231224676908,
      0.004138674691751084,
      0.0040023630811664036,
      0.0038682600479234084,
      0.003736329749669028,
      0.003606537024353506,
      0.0034788472201850115,
      0.0033532262759488844,
      0.003229640663673798,
      0.003108057352450886,
      0.0029884439204203588,
      0.0028707684533956918,
      0.002754999488957341,
      0.0026411061982380165,
      0.0025290582651647147,
      0.002418825690985194,
      0.002310379109281058,
      0.002203689657819473,
      0.0020987287761015157,
      0.0019954684498080513,
      0.0018938810940626635,
      0.0017939396044176765,
      0.0016956174221726373,
      0.0015988883091747103,
      0.0015037264165408144,
      0.001410106304240076,
      0.0013180029745720211,
      0.0012273919076780956,
      0.0011382489018732518,
      0.0010505501946501566,
      0.0009642723313101867,
      0.0008793922637527561,
      0.0007958874889863678,
      0.0007137357635177333,
      0.0006329150670910662,
      0.0005534038087238471,
      0.00047518083736384256,
      0.0003982252760727366,
      0.0003225165292338795,
      0.0002480343927099376,
      0.00017475906329376164,
      0.00010267092733386552,
      3.1750732122564e-05,
      -3.802050261930103e-05,
      -0.00010666130479550351,
      -0.00017418999439876005,
      -0.00024062460271827226,
      -0.0003059828225113605,
      -0.00037028210884129485,
      -0.00043353964614393874,
      -0.0004957722947800558,
      -0.0005569966380014034,
      -0.0006172290027077849,
      -0.0006764855489259832,
      -0.0007347820660238874,
      -0.0007921339648704,
      -0.0008485566626282804,
      -0.000904065229872356,
      -0.0009586744814579106,
      -0.0010123989712839574,
      -0.0010652530237153675,
      -0.0011172507517753394,
      -0.0011684059981769556,
      -0.0012187324468406755,
      -0.0012682435492554307,
      -0.001316952392927624,
      -0.0013648720137384252,
      -0.0014120152113827615,
      -0.0014583945744801757,
      -0.001504022619035809,
      -0.001548911328358658,
      -0.0015930727094790142,
      -0.0016365186109233915,
      -0.0016792606231724762,
      -0.0017213100413286894,
      -0.0017626782020772856,
      -0.001803376146493975,
      -0.0018434147716715058,
      -0.0018828046952959153,
      -0.0019215563864378477,
      -0.0019596802828159717,
      -0.0019971865075606348,
      -0.0020340850234619227,
      -0.0020703856528720547,
      -0.0021060981226876806,
      -0.0021412319561761083,
      -0.002175796574033122,
      -0.002209801121530934,
      -0.0022432547205719676,
      -0.002276166282779761,
      -0.0023085446338992673,
      -0.0023403983699534225,
      -0.002371736069239523,
      -0.002402566046134496,
      -0.0024328965682935307,
      -0.0024627356984850734,
      -0.0024920913704311013,
      -0.0025209712669394197,
      -0.0025493832322577917,
      -0.002577334882873886,
      -0.0026048337328547695,
      -0.0026318870134004906
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334609916392656,
      10.093141550013687,
      9.845185763993983,
      9.593590213003008,
      9.340876946306755,
      9.089219357713004,
      8.84042298861934,
      8.595921666232577,
      8.356772479966104,
      8.123673060277444,
      7.896998110775074,
      7.676846236613346,
      7.463092496708877,
      7.255442252936782,
      7.053482690238708,
      6.856729495202153,
      6.664667446524415,
      6.476784332097896,
      6.292596922961466,
      6.111670897690867,
      5.933631648125122,
      5.758162278278048,
      5.585012427537654,
      5.4140162403291,
      5.245086935025175,
      5.078201728859282,
      4.913413220050353,
      4.75087249787938,
      4.590837467076086,
      4.43361614237084,
      4.279542685354948,
      4.128979648258519,
      3.9823139902764235,
      3.83992947062045,
      3.702187328099655,
      3.5694134061180773,
      3.4418884389807634,
      3.3198412354848323,
      3.2034445130791664,
      3.0928118345314983,
      2.987984594019752,
      2.8889325293830024,
      2.79554718593889,
      2.707636245155453,
      2.6249564654751114,
      2.5472575241162634,
      2.47427936278895,
      2.4057573367283185,
      2.3414238773320153,
      2.280994139540301,
      2.224141336102757,
      2.170486087422827,
      2.119685232449117,
      2.0714084741228986,
      2.025347406074582,
      1.9812338763932291,
      1.938853962460359,
      1.8980279116375378,
      1.8586072685271229,
      1.8204728146508815,
      1.783520225634996,
      1.7476595778224664,
      1.712817899292529,
      1.6789344088596403,
      1.6459572371179592,
      1.6138411459698758,
      1.5825459356766851,
      1.552035324779218,
      1.5222761559727285,
      1.4932395918190378,
      1.4649020307774168,
      1.4372431170153124,
      1.4102417599881638,
      1.3838748253035549,
      1.3581205310625823,
      1.3329582066408283,
      1.3083680641479323,
      1.2843311787152012,
      1.26082945951029,
      1.2378456157099609,
      1.2153631210683657,
      1.1933661778369398,
      1.171839679841099,
      1.1507691782996985,
      1.1301417205948314,
      1.10994546221588,
      1.0901690838443159,
      1.07080165957645,
      1.0518322423688482,
      1.0332500267232096,
      1.015044703086458,
      0.9972065544423749,
      0.979726030209023,
      0.9625937660952533,
      0.9458006390229784,
      0.9293377963545686,
      0.9131966687834279,
      0.8973689738689797,
      0.8818467130459664,
      0.8666221655763994,
      0.8516878796379354,
      0.8370366624530959,
      0.8226615706901375,
      0.8085558994038755,
      0.7947131720441384,
      0.7811271308222574,
      0.7677917271996705,
      0.7547011121530987,
      0.7418496283539658,
      0.7292318011560414,
      0.7168423307966966,
      0.7046760848281473,
      0.6927280913669669,
      0.6809935321435884,
      0.6694677360573669,
      0.6581461730740972,
      0.6470244482463267,
      0.6360982962449032,
      0.6253635763538834,
      0.6148162672924694,
      0.6044524158702785,
      0.5942681500386251,
      0.5842597326006366,
      0.5744235484706717,
      0.5647560931327136,
      0.5552539646429148,
      0.5459138571616503,
      0.5367325554499199,
      0.5277069304288308,
      0.518834243369766,
      0.5101125241862073,
      0.5015396329274182,
      0.4931131894057536,
      0.48483068572799926,
      0.47668955702290927,
      0.46868722550113256,
      0.46082112773633466,
      0.4530887309782953,
      0.4454875435876164,
      0.43801512015671135,
      0.43066906456078535,
      0.4234470314265188,
      0.4163467257627857,
      0.4093661035808345,
      0.4025033414544605,
      0.39575653480086903,
      0.38912372237811876,
      0.38260292361486,
      0.3761921614285211,
      0.3698894766545994,
      0.3636929363872858,
      0.35760063914921497,
      0.35161072531015214,
      0.34572149436999383,
      0.33993131983600094,
      0.33423854134168673,
      0.32864149018486954,
      0.3231385051274173,
      0.3177279418142844,
      0.3124081784990863,
      0.30717762376396895,
      0.3020347432569811,
      0.2969780344741325,
      0.2920060086706503,
      0.28711719644948897,
      0.2823101511015943,
      0.27758345011118585,
      0.27293569644038784,
      0.2683654843408605,
      0.26387124100549236,
      0.2594514104145502,
      0.25510455695945244,
      0.25082932952388,
      0.24662443957346045,
      0.24248864665198336,
      0.2384207488683935,
      0.23441957631880858,
      0.23048422851839775,
      0.2266140714876449,
      0.2228083382037267,
      0.2190661472051164,
      0.21538655055205425,
      0.21176856472543862,
      0.20821119002722305,
      0.204713423200775,
      0.2012742652542657,
      0.19789272638869312,
      0.1945677590757911,
      0.19129828042027938,
      0.18808326578731288,
      0.1849217382742419,
      0.18181275725454146,
      0.17875541109121573,
      0.17574881227622122,
      0.17279209414560243,
      0.16988440866227203,
      0.16702492488494863,
      0.16421282800307044,
      0.16144731829300232,
      0.15872761082627804,
      0.15605293470107878,
      0.15342253286459,
      0.15083566166679135,
      0.14829159052087906,
      0.14578960174547972,
      0.14332899005509278,
      0.14090906256200966,
      0.13852913834283112,
      0.13618854835762909,
      0.13388663518698182,
      0.13162275266375661,
      0.12939626570322577,
      0.12720655019195726,
      0.12505299271890333,
      0.12293499054937812,
      0.12085195118009895,
      0.11880329228228256,
      0.11678844143504688,
      0.1148068360043611,
      0.11285792295783915,
      0.11094115866572259,
      0.10905600880878477,
      0.1072019480997196,
      0.10537846016814943,
      0.10358503737301243,
      0.10182118073938777,
      0.10008639959302822,
      0.09838021170649565,
      0.09670214296491547,
      0.09505172731341549,
      0.09342850637593396,
      0.09183202955190418,
      0.0902618540188415,
      0.08871754411254996,
      0.08719867167098742,
      0.08570481576789964,
      0.0842355624780172,
      0.08279050480056266,
      0.0813692424988745,
      0.07997138226641028,
      0.07859653709619911,
      0.07724432657986643,
      0.07591437670478385,
      0.0746063196714303,
      0.07331979372976061,
      0.07205444333309131,
      0.0708099187960657,
      0.06958587626025313,
      0.06838197758526394,
      0.06719789031503884,
      0.06603328747060404,
      0.06488784754775383,
      0.06376125431809687,
      0.06265319692987409,
      0.061563369732336136,
      0.060491472037049486,
      0.05943720824745321,
      0.05840028755209542,
      0.05738042392539634,
      0.056377336190841176,
      0.05539074794593358,
      0.05442038720035763,
      0.053465986529429986,
      0.05252728292699038,
      0.0516040177255645,
      0.050695936548741605,
      0.04980278933706166,
      0.04892433010390714,
      0.04806031700577445,
      0.04721051210702231,
      0.046374681413690624,
      0.045552594795123434,
      0.0447440259013401,
      0.043948752212068204,
      0.04316655107605292,
      0.042397170587613255,
      0.041640355272580316,
      0.04089587034072192,
      0.04016349545532644,
      0.03944302096867553,
      0.0387342450639078,
      0.038036972352392014,
      0.03735101245705155,
      0.03667617938218841,
      0.03601229096030921,
      0.03535916852338742,
      0.03471663672795167,
      0.03408452324012606,
      0.03346265874390224,
      0.03285087680199098,
      0.03224901374705713,
      0.03165690850072572,
      0.031074402752687236,
      0.0305013407493189,
      0.029937569168940425,
      0.029382937247968657,
      0.02883729667527468,
      0.02830050169331522,
      0.027772408852755753,
      0.027252876903431252,
      0.026741767113545586,
      0.026238942765274893,
      0.02574426940276354,
      0.02525761489125104,
      0.02477884921192661,
      0.024307844411298594,
      0.0238444746156211,
      0.0233886161238057,
      0.022940147158419993,
      0.02249894780909919,
      0.02206490015465667,
      0.02163788817023882,
      0.02121779778217293,
      0.02080451686010924,
      0.020397934936920655,
      0.01999794336772728,
      0.01960443528591836,
      0.019217305540903028,
      0.01883645071240128,
      0.018461769156862103,
      0.01809316076183183,
      0.01773052708815378,
      0.017373771219437437,
      0.017022797885126444,
      0.016677513290247678,
      0.016337825225282716,
      0.01600364304805027,
      0.01567487750018413,
      0.015351440758053884,
      0.015033246304569352,
      0.014720209207408451,
      0.014412245766615815,
      0.014109273771840897,
      0.013811212313374843,
      0.013517981897752912,
      0.013229504237602175,
      0.012945702294438245,
      0.012666500218522983,
      0.012391823439214009,
      0.01212159860800096,
      0.011855753495271475,
      0.011594217075818808,
      0.011336919530280038,
      0.011083792251922409,
      0.01083476760937989,
      0.010589779073296664,
      0.0103487612495423,
      0.010111649794418313,
      0.009878381346743318,
      0.009648893584583788,
      0.009423125260640017,
      0.009201016063724626,
      0.008982506623810617,
      0.008767538673601194,
      0.008556054851529176,
      0.00834799864864072,
      0.008143314485688398,
      0.007941947711361088,
      0.007743844565932447,
      0.007548952161131458,
      0.007357218463567504,
      0.00716859228740819,
      0.006983023246575338,
      0.006800461804858399,
      0.006620859157820868,
      0.006444167416700624,
      0.006270339350492678,
      0.006099328442179068,
      0.005931089068880909,
      0.005765576456293806,
      0.005602746350407002,
      0.00544255530169444,
      0.005284960450025849,
      0.005129919744568416,
      0.004977391855135346,
      0.004827335939845899,
      0.004679711993786329,
      0.004534480628424867,
      0.0043916031713626446,
      0.0042510413681569395,
      0.004112757652233265,
      0.003976715105406504,
      0.003842877408369458,
      0.003711208844490843,
      0.003581674210512331,
      0.003454238932788841,
      0.0033288690332841215,
      0.00320553106646123,
      0.00308419208927947,
      0.0029648196849779945,
      0.002847381975524099,
      0.002731847585736795,
      0.0026181856152004044,
      0.0025063658354321583,
      0.002396358380136584,
      0.0022881338442811627,
      0.002181663289487429,
      0.002076918232308586,
      0.001973870780478507,
      0.0018724934024603628,
      0.0017727590357791948,
      0.0016746411141812653,
      0.0015781133872236114,
      0.001483150071605807,
      0.001389725819772745,
      0.001297815760535929,
      0.0012073953441781404,
      0.001118440315818143,
      0.0010309269512834432,
      0.0009448318046789428,
      0.0008601319664331967,
      0.0007768049477072769,
      0.0006948284522802944,
      0.0006141806135036001,
      0.0005348398128810668,
      0.0004567848687913325,
      0.00037999488346869353,
      0.0003044494979699131,
      0.00023012857680996412,
      0.00015701220537051594,
      8.50808280700395e-05,
      1.4315177845652214e-05,
      -5.530357680854251e-05,
      -0.0001237939886125515,
      -0.0001911743595943831,
      -0.0002574626540066902,
      -0.0003226766644055438,
      -0.0003868337313271116,
      -0.0004499510279273009,
      -0.0005120453600911984,
      -0.0005731333406788993,
      -0.0006332311491037804,
      -0.0006923549451516963,
      -0.0007505205823758282,
      -0.0008077435682784472,
      -0.0008640391128740375,
      -0.0009194222710442889,
      -0.0009739077723514093,
      -0.0010275102255787592,
      -0.001080244003946949,
      -0.001132123104548308,
      -0.001183161394255106,
      -0.0012333725238501023,
      -0.001282769937388017,
      -0.0013313667658905297,
      -0.0013791759806291639,
      -0.0014262103613894217,
      -0.0014724823939974278,
      -0.001518004497410041,
      -0.0015627888498119886,
      -0.0016068473919224977,
      -0.0016501919058029314,
      -0.0016928339717708133,
      -0.001734784937892908,
      -0.001776055970596479,
      -0.0018166580732109268,
      -0.0018566020782155245,
      -0.0018958988042281084,
      -0.001934558672457468,
      -0.001972591887394756,
      -0.0020100087060857977,
      -0.00204681909001239,
      -0.002083032922664816,
      -0.0021186598000119913,
      -0.0021537093100677377,
      -0.0021881906569953665,
      -0.002222113129829233,
      -0.0022554858463125086,
      -0.002288317705902404,
      -0.002320617526671943,
      -0.0023523939080687816,
      -0.0023836552774217402,
      -0.0024144099929921795,
      -0.0024446662304694927,
      -0.0024744321359326748,
      -0.0025037156351733368,
      -0.0025325244967437576,
      -0.0025608664258667795,
      -0.0025887490375668906,
      -0.0026161797784701986,
      -0.0026431658795515135
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334605645897952,
      10.09312742079533,
      9.845156052915595,
      9.593540083613068,
      9.340803011742024,
      9.089119345924255,
      8.840295575875428,
      8.595766312003004,
      8.356589080683458,
      8.123461788246479,
      7.8967592893288865,
      7.676580246833788,
      7.462799717611663,
      7.25512303033788,
      7.05313732916887,
      6.856358271173495,
      6.664270620597547,
      6.476362176106405,
      6.292149785456087,
      6.11119926778908,
      5.933136234615263,
      5.757644064268145,
      5.584472695110756,
      5.413456516961341,
      5.244508893299992,
      5.077607196976997,
      4.912804313454146,
      4.750252077033438,
      4.590209074071481,
      4.43298333990834,
      4.2789090413592366,
      4.12834882917308,
      3.9816897508053186,
      3.839315352858053,
      3.7015865424293435,
      3.568828855351482,
      3.441322724984324,
      3.319296565378939,
      3.2029226810523843,
      3.0923141384559405,
      2.9875117741341053,
      2.888484804990851,
      2.795124148100854,
      2.7072368205569832,
      2.6245791714456863,
      2.5469007602778877,
      2.473941350196361,
      2.4054361950618746,
      2.3411177516843487,
      2.280701164515096,
      2.223859113901263,
      2.1702122855013504,
      2.1194177639327467,
      2.071145369014119,
      2.025086955231295,
      1.9809747725135762,
      1.9385952366053207,
      1.8977688450122374,
      1.8583473531048125,
      1.820211577123276,
      1.783257150732327,
      1.7473943283341244,
      1.7125502598815519,
      1.6786642493820474,
      1.6456844860092237,
      1.6135657719752645,
      1.582267935265177,
      1.5517547136851428,
      1.5219929626900315,
      1.4929540333677025,
      1.4646145553496888,
      1.4369541243251738,
      1.4099515363496455,
      1.38358360181482,
      1.3578284752537308,
      1.3326654375357911,
      1.308074669409424,
      1.2840372254755077,
      1.260535001784982,
      1.237550699309749,
      1.215067786263228,
      1.193070460687694,
      1.1715436147413225,
      1.1504727978125933,
      1.1298450762393477,
      1.109648611852099,
      1.0898720842106757,
      1.0705045573917082,
      1.051535077318527,
      1.0329528390027913,
      1.01474765220295,
      0.996909798573147,
      0.9794296776303203,
      0.9622978931429182,
      0.9455053012170131,
      0.9290430356551561,
      0.9129025188732515,
      0.8970754629627059,
      0.8815538658600215,
      0.8663300044631894,
      0.8513964254976344,
      0.8367459351194396,
      0.8223715889949407,
      0.8082666818868693,
      0.7944247368105333,
      0.7808394957168698,
      0.7675049097136244,
      0.7544151296990425,
      0.7415644978936095,
      0.7289475396290459,
      0.7165589548517068,
      0.7043936109738523,
      0.6924465357058021,
      0.6807129106790835,
      0.6691880645585606,
      0.6578674667258159,
      0.6467467219498637,
      0.6358215648324536,
      0.6250878542334706,
      0.6145415684906442,
      0.6041787531741192,
      0.5939955361355028,
      0.5839881801664343,
      0.5741530700207239,
      0.564486701170411,
      0.5549856713683813,
      0.5456466743248315,
      0.5364664945256512,
      0.5274420025812273,
      0.5185705431363822,
      0.50985014839048,
      0.5012786440965843,
      0.4928536281020492,
      0.4845725787056537,
      0.47643292194876063,
      0.468432074163438,
      0.4605674683371796,
      0.45283656944149814,
      0.44523688388596544,
      0.43776596518699085,
      0.43042141650109716,
      0.42320089160223157,
      0.4161020950641612,
      0.4091230063830752,
      0.4022618024698944,
      0.3955165687853546,
      0.38888533765828426,
      0.3823661243419514,
      0.3759569492790052,
      0.3696558514235731,
      0.36346089677524784,
      0.3573701829810058,
      0.3513818548082613,
      0.34549421827915205,
      0.3397056419117743,
      0.3340144619753863,
      0.32841900771931104,
      0.3229176164623252,
      0.3175086429651403,
      0.3121904648190965,
      0.3069614911529104,
      0.3018201886455021,
      0.2967650535088762,
      0.291794596268621,
      0.2869073470285825,
      0.2821018586161305,
      0.27737670821102245,
      0.27273049833371393,
      0.26816182499344765,
      0.2636691180875507,
      0.25925081999924443,
      0.25490549374364024,
      0.2506317876654255,
      0.2464284128881216,
      0.24229412850220247,
      0.23822773216329396,
      0.23422805388006654,
      0.23029418474259858,
      0.22642549028561454,
      0.2226212064295815,
      0.2188804536069373,
      0.2152022850592657,
      0.21158571798117284,
      0.2080297530621747,
      0.2045333872470169,
      0.20109562167352557,
      0.19771546656206349,
      0.19439187005587805,
      0.191123749128182,
      0.18791008086560423,
      0.18474988942794135,
      0.18164223484965797,
      0.17858620600949038,
      0.17558091566927678,
      0.1726254972400822,
      0.1697191028193673,
      0.16686090144311003,
      0.16405007817084313,
      0.16128583331457816,
      0.15856738187905256,
      0.15589395318060614,
      0.15326479004632498,
      0.15067914881844374,
      0.14813629893801644,
      0.1456355225194962,
      0.1431761145586916,
      0.14075738193004533,
      0.13837864374751274,
      0.13603923085653968,
      0.13373848587609752,
      0.13147576262628158,
      0.12925042611739598,
      0.12706185212052612,
      0.12490942740688177,
      0.12279254906039627,
      0.12071062449624718,
      0.1186630714798112,
      0.11664931760539933,
      0.11466880018781438,
      0.11272096624837989,
      0.11080527215064459,
      0.10892118354588834,
      0.10706817522174622,
      0.10524573080259929,
      0.10345334275249658,
      0.10169051194931863,
      0.09995674792991369,
      0.0982515684320963,
      0.09657449933371191,
      0.09492507445352551,
      0.09330283560830815,
      0.09170733230911482,
      0.09013812147177601,
      0.08859476767399095,
      0.08707684282526877,
      0.08558392588808021,
      0.08411560300529469,
      0.08267146724555718,
      0.08125111835089958,
      0.07985416297225333,
      0.07848021425850298,
      0.07712889190740943,
      0.07579982182359175,
      0.07449263614197556,
      0.0732069732896125,
      0.07194247775546794,
      0.07069879997102986,
      0.069475596120251,
      0.06827252799911022,
      0.06708926323274986,
      0.0659254748809177,
      0.06478084148327973,
      0.06365504683541805,
      0.06254778013696764,
      0.06145873575933155,
      0.06038761307665626,
      0.059334116490760154,
      0.058297955241808086,
      0.057278843469964986,
      0.056276500002154076,
      0.055290648394923606,
      0.054321016785298916,
      0.05336733779362588,
      0.05242934847172017,
      0.051506790287035975,
      0.05059940886875594,
      0.04970695418005637,
      0.048829180232549806,
      0.047965845108822576,
      0.047116711064110445,
      0.04628154412805788,
      0.04546011419536335,
      0.04465219501270762,
      0.043857564101234564,
      0.0430760027062419,
      0.04230729553474535,
      0.04155123095833326,
      0.04080759289116122,
      0.04007613577844417,
      0.03935662057258962,
      0.03864882647646101,
      0.037952545668144155,
      0.03726757975960146,
      0.036593737525526825,
      0.035930833445700944,
      0.03527868680371947,
      0.034637120944176966,
      0.03400596276169338,
      0.03338504242635179,
      0.032774193172749294,
      0.03217325114508472,
      0.03158205533000867,
      0.03100044740533909,
      0.03042827162386469,
      0.029865374898747035,
      0.029311606580485393,
      0.028766818485440136,
      0.028230864972110963,
      0.027703602714916176,
      0.027184890614956,
      0.026674589948225972,
      0.02617256417909565,
      0.025678679068839055,
      0.025192802627784585,
      0.024714804910635574,
      0.02424455812505819,
      0.02378193648172339,
      0.02332681625523447,
      0.022879075757936986,
      0.022438595239105682,
      0.02200525696291138,
      0.021578945167676628,
      0.021159545822364068,
      0.020746946797089924,
      0.020341037799403765,
      0.019941710323920246,
      0.019548857659905775,
      0.01916237475328965,
      0.018782158291175462,
      0.018408106640623992,
      0.018040119844922202,
      0.0176780995180391,
      0.017321948917158193,
      0.016971572799006986,
      0.016626877491753962,
      0.01628777094148592,
      0.01595416244673623,
      0.015625962932791962,
      0.015303084672336051,
      0.01498544135505642,
      0.014672948003801756,
      0.014365521188519888,
      0.014063078724447961,
      0.01376553978882452,
      0.0134728249030584,
      0.013184855894572665,
      0.01290155576178927,
      0.012622848766840033,
      0.012348660437314519,
      0.012078917464942258,
      0.011813547793790562,
      0.011552480496236006,
      0.01129564588287751,
      0.011042975305521507,
      0.010794401225272412,
      0.010549857106423926,
      0.010309277766071543,
      0.010072598953007378,
      0.009839757356648382,
      0.009610690701980274,
      0.009385337797913,
      0.009163638398999602,
      0.008945533293424249,
      0.008730964210583518,
      0.008519873808862984,
      0.00831220569220365,
      0.00810790448791403,
      0.007906915546652819,
      0.007709185077962066,
      0.007514660314212292,
      0.007323289316504214,
      0.007135020885191945,
      0.006949804753565364,
      0.006767591345755076,
      0.006588332040380812,
      0.006411978941598787,
      0.006238484926304977,
      0.00606780372659988,
      0.005899889646110144,
      0.0057346978516741795,
      0.005572184178954009,
      0.00541230528238106,
      0.005255018414069438,
      0.005100281549071385,
      0.004948053233188552,
      0.004798292808330751,
      0.004650960278133056,
      0.004506016431128314,
      0.0043634224959492015,
      0.004223140338858562,
      0.004085132473274628,
      0.003949361925284457,
      0.0038157925083352226,
      0.003684388611214255,
      0.00355511508365356,
      0.0034279373657181717,
      0.0033028214727291567,
      0.0031797340974521844,
      0.0030586422056105705,
      0.0029395134218046072,
      0.002822315965728081,
      0.0027070184892380835,
      0.0025935902334609327,
      0.0024820008313334403,
      0.002372220551293019,
      0.002264220046829093,
      0.002157970521265958,
      0.0020534436082844357,
      0.001950611254209346,
      0.0018494459450023098,
      0.0017499208210080164,
      0.001652009221469296,
      0.0015556850380653961,
      0.001460922459563415,
      0.001367696144173856,
      0.0012759812152527198,
      0.0011857532021411668,
      0.001096987969331539,
      0.0010096618315417985,
      0.0009237514291925297,
      0.0008392338273386187,
      0.000756086393938887,
      0.0006742868634794939,
      0.0005938135870448892,
      0.0005146448999330863,
      0.00043675970474171144,
      0.000360137178403633,
      0.0002847568305769595,
      0.0002105986203738946,
      0.00013764272501097876,
      6.586952559805658e-05,
      -4.740126553386787e-06,
      -7.42049911592913e-05,
      -0.0001425436847468837,
      -0.00020977439713264163,
      -0.0002759152301538163,
      -0.0003409838235806908,
      -0.00040499746232700463,
      -0.00046797320172153596,
      -0.0005299279599084959,
      -0.0005908783868506308,
      -0.0006508407518297084,
      -0.0007098309754019901,
      -0.0007678647937134572,
      -0.0008249577312544952,
      -0.0008811250472880749,
      -0.0009363818338829815,
      -0.0009907427570881207,
      -0.0010442223499069255,
      -0.001096834980373208,
      -0.0011485947552266195,
      -0.0011995154225916606,
      -0.001249610515062831,
      -0.0012988934092003923,
      -0.0013473773016995927,
      -0.0013950751275087292,
      -0.0014419996616170244,
      -0.0014881634165956293,
      -0.001533578736103631,
      -0.0015782578116990851,
      -0.0016222125779402148,
      -0.0016654547210456668,
      -0.0017079957630797792,
      -0.0017498471260726728,
      -0.001791020024252799,
      -0.001831525527403827,
      -0.0018713744258608241,
      -0.001910577285797701,
      -0.001949144465163226,
      -0.0019870863898865873,
      -0.002024413206519286,
      -0.002061134892268037,
      -0.0020972611858713283,
      -0.0021328017658324254,
      -0.002167766186737213,
      -0.002202163833894954,
      -0.0022360038649609044,
      -0.0022692953539056896,
      -0.0023020470275534975,
      -0.0023342677326962133,
      -0.0023659660698729123,
      -0.002397150490741389,
      -0.0024278293567659283,
      -0.002458010914857698,
      -0.0024877030813959767,
      -0.0025169138362727654,
      -0.002545650967745763,
      -0.0025739221602718446,
      -0.002601735005634897,
      -0.002629096981814658,
      -0.0026560155142602987
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334601356587699,
      10.093113230195897,
      9.845126214693128,
      9.593489736594575,
      9.340728750303889,
      9.089018881881113,
      8.840167569649495,
      8.595610213454238,
      8.35640477614417,
      8.123249444314707,
      7.896519226191856,
      7.676312842635047,
      7.4625053487734965,
      7.2548020409672285,
      7.052790023005863,
      6.85598492260789,
      6.663871488388262,
      6.475937530800274,
      6.291699974911829,
      6.110724780933956,
      5.9326377790903635,
      5.757122638991059,
      5.583929595597256,
      5.4128932676520805,
      5.243927164934787,
      5.077008817685241,
      4.912191399903756,
      4.749627496962664,
      4.589576381671621,
      4.432346111250696,
      4.2782708574868655,
      4.127713372353664,
      3.981060795408804,
      3.838696444581169,
      3.7009808959182497,
      3.5682393816581413,
      3.4407520355569297,
      3.318746889792228,
      3.202395833107769,
      3.091811433067461,
      2.987033967136225,
      2.8880321287682933,
      2.794696204582893,
      2.706832545586308,
      2.6241970872904483,
      2.546539238975738,
      2.4735985949304697,
      2.4051103368405147,
      2.3408069451717,
      2.280403551395014,
      2.2235723067565973,
      2.1699339610635704,
      2.1191458404905856,
      2.070877881103308,
      2.0248221974478526,
      1.980711437789319,
      1.9383323550548108,
      1.8975056974561675,
      1.8580834300007112,
      1.81994640290828,
      1.7829902071278863,
      1.747125275062248,
      1.712278879783507,
      1.6783904096829099,
      1.6454081127507598,
      1.6132868320284899,
      1.581986423007749,
      1.55147064195778,
      1.521706357586175,
      1.4926651102257995,
      1.4643237620315794,
      1.4366618599595864,
      1.4096580858208583,
      1.38328919493287,
      1.3575332774539492,
      1.332369566381903,
      1.3077782110931468,
      1.283740245662167,
      1.2602375531431909,
      1.2372528259786795,
      1.214769526884857,
      1.1927718509703078,
      1.1712446879279637,
      1.1501735853933217,
      1.1295456285439,
      1.10934898493533,
      1.0895723336690273,
      1.0702047289137289,
      1.051235210034858,
      1.0326530327497727,
      1.0144480918047183,
      0.996610608937798,
      0.9791309452269296,
      0.9619996798592639,
      0.9452076533252346,
      0.9287459894274617,
      0.9126061035688696,
      0.8967797035312931,
      0.8812587847056242,
      0.8660356224762663,
      0.8511027623058612,
      0.8364530096274465,
      0.8220794196541501,
      0.8079752865945495,
      0.7941341334303119,
      0.7805497019248709,
      0.7672159427812122,
      0.7541270064908465,
      0.7412772352090188,
      0.728661153895571,
      0.7162734623403652,
      0.7041090278256362,
      0.6921628779973074,
      0.6804301939685578,
      0.6689063040315413,
      0.6575866772529801,
      0.6464669183382599,
      0.6355427614304777,
      0.6248100652893525,
      0.6142648080433285,
      0.603903034222708,
      0.5937208711455333,
      0.5837145816168907,
      0.5738805502053799,
      0.5642152721947542,
      0.5547153453923784,
      0.5453774632391872,
      0.5361984096712128,
      0.5271750551463226,
      0.5183048277919814,
      0.5095857617970123,
      0.5010156486279257,
      0.49259206455939675,
      0.4843124736618786,
      0.4761742930803024,
      0.4681749333839604,
      0.46031182350614547,
      0.45258242597701703,
      0.44498424570220546,
      0.43751483500995786,
      0.43017179607328476,
      0.42295278228594946,
      0.41585549787828874,
      0.40887794577147496,
      0.402018303282083,
      0.3952746456278701,
      0.3886449988293125,
      0.38212737416182424,
      0.3757197891559672,
      0.369420280955981,
      0.36322691428347487,
      0.35713778614557345,
      0.35115104593009533,
      0.34526500599827287,
      0.3394780298228716,
      0.3337884504310914,
      0.3281945949806667,
      0.3226947992916243,
      0.3172874171718324,
      0.3119708256980781,
      0.30674343454048153,
      0.301603711441901,
      0.2965501515168873,
      0.29158126426485126,
      0.28669557928665756,
      0.2818916490693019,
      0.2771680505857239,
      0.27252338597511927,
      0.26795625281111446,
      0.263465083222074,
      0.2590483181681913,
      0.2547045196777555,
      0.2504323353859182,
      0.24623047585267777,
      0.24209769979795784,
      0.23803280465870885,
      0.23403462027268906,
      0.23010222964116098,
      0.2262349976791349,
      0.22243216313033207,
      0.2186928483027047,
      0.2150161076642342,
      0.21140095905385567,
      0.20784640354259065,
      0.20435143829612792,
      0.200915064639363,
      0.197536292805728,
      0.19421406657849918,
      0.19094730280585004,
      0.18773498035338532,
      0.1845761243864758,
      0.18146979574725466,
      0.17841508373564827,
      0.17541110123802903,
      0.17245698183666813,
      0.16955187760487117,
      0.16669495771464068,
      0.16388540736916365,
      0.16112242687218892,
      0.15840523113794,
      0.15573304938526697,
      0.15310512441193808,
      0.15052071261788874,
      0.14797908346735217,
      0.14547951906978354,
      0.14302131414511426,
      0.14060377577053032,
      0.13822622297788636,
      0.13588798671627356,
      0.1335884094482321,
      0.13132684489485696,
      0.12910265808086693,
      0.12691522488611318,
      0.12476393196057792,
      0.12264817651309418,
      0.12056736593563275,
      0.11852091793021133,
      0.11650826014590984,
      0.1145288299495001,
      0.11258207438614198,
      0.11066744980838693,
      0.10878442191683975,
      0.10693246536696009,
      0.10511106376779235,
      0.10331970964636682,
      0.10155790393291486,
      0.09982515619949558,
      0.09812098411926685,
      0.09644491369149849,
      0.09479647873723474,
      0.09317522109627055,
      0.09158069031711497,
      0.09001244341804397,
      0.08847004491558406,
      0.08695306669468073,
      0.0854610878214191,
      0.08399369440706866,
      0.08255047950251009,
      0.08113104306196904,
      0.07973499171481341,
      0.07836193865672225,
      0.07701150347490714,
      0.07568331221884503,
      0.074376997150719,
      0.07309219672167372,
      0.07182855526538678,
      0.07058572334234824,
      0.06936335719074077,
      0.06816111877704412,
      0.06697867559388489,
      0.0658157008469903,
      0.06467187312876274,
      0.06354687623885509,
      0.06244039932938905,
      0.061352136853459326,
      0.06028178829147986,
      0.059229058042695945,
      0.05819365548123826,
      0.057175294737754304,
      0.05617369474715436,
      0.05518857912346587,
      0.0542196760327251,
      0.05326671805781973,
      0.05232944228351885,
      0.05140759025809535,
      0.05050090769228615,
      0.049609144555156255,
      0.04873205495737047,
      0.047869397081858125,
      0.04702093323160217,
      0.04618642943483295,
      0.04536565564379908,
      0.044558385667699506,
      0.04376439712109712,
      0.04298347119218063,
      0.04221539267960063,
      0.04145995000444837,
      0.04071693505809146,
      0.03998614318445659,
      0.03926737301899752,
      0.038560417780358486,
      0.03786504204142657,
      0.03718101980448283,
      0.036508141831004405,
      0.03584621108587789,
      0.035195039202391976,
      0.034554444577424986,
      0.033924250976055455,
      0.033304286538844256,
      0.03269438331483554,
      0.03209437664414718,
      0.031504105100381125,
      0.03092341014657771,
      0.03035213596141152,
      0.02979012946041552,
      0.029237239933047183,
      0.0286933193445399,
      0.028158221960655417,
      0.027631804624589713,
      0.027113926508520805,
      0.026604448951352905,
      0.02610323565422664,
      0.025610152351110967,
      0.025125067199743965,
      0.02464785037370112,
      0.02417837420350797,
      0.02371651303332572,
      0.023262143301785436,
      0.022815143376105847,
      0.022375393820721883,
      0.02194277692934363,
      0.021517176875003718,
      0.021098479962729462,
      0.020686574075846287,
      0.02028134903885788,
      0.01988269641467875,
      0.01949050962072853,
      0.01910468371482426,
      0.018725115645836836,
      0.018351703818051592,
      0.017984348329315558,
      0.017622950916613294,
      0.01726741502275731,
      0.016917645443411147,
      0.01657354861546782,
      0.016235032619461853,
      0.015902006857172413,
      0.015574382313872436,
      0.015252071336452483,
      0.01493498768403446,
      0.014623046667207863,
      0.014316164841328473,
      0.014014260156432944,
      0.013717251788214879,
      0.013425060310884748,
      0.013137607582960046,
      0.01285481670787033,
      0.012576612126905489,
      0.012302919456427858,
      0.012033665450489641,
      0.011768778254491628,
      0.0115081870595793,
      0.011251822053893792,
      0.010999614708648336,
      0.01075149763621593,
      0.010507404453352192,
      0.010267269851338126,
      0.010031029702528753,
      0.009798620884980186,
      0.00956998118115048,
      0.009345049440876756,
      0.009123765665966782,
      0.008906070647438672,
      0.008691906159622384,
      0.008481214845855903,
      0.008273940369028265,
      0.008070027317727707,
      0.007869421173106617,
      0.007672068463960032,
      0.0074779163024712115,
      0.00728691283845344,
      0.00709900703634631,
      0.006914148666078725,
      0.006732288226659774,
      0.006553377038307166,
      0.006377367337628483,
      0.006204211994651348,
      0.0060338647349999965,
      0.005866280130107889,
      0.005701413291598444,
      0.005539220159529093,
      0.005379657431200731,
      0.005222682454916759,
      0.005068253221408491,
      0.0049163283773481295,
      0.004766867298209417,
      0.004619829998708246,
      0.0044751773004794125,
      0.004332870455446502,
      0.004192871515570725,
      0.004055142935506841,
      0.003919647902791379,
      0.0037863501736888844,
      0.003655214224017548,
      0.0035262048994205496,
      0.003399287837479211,
      0.003274429014502425,
      0.0031515950892489187,
      0.0030307532464615627,
      0.002911871144508804,
      0.0027949169091621984,
      0.002679859307532629,
      0.002566667676295121,
      0.0024553117186113735,
      0.0023457616207766393,
      0.0022379880748205107,
      0.002131962265423741,
      0.002027655947542646,
      0.0019250413037577706,
      0.0018240907842540688,
      0.0017247773357283217,
      0.001627074473284581,
      0.0015309560747077781,
      0.001436396411487448,
      0.0013433703023515095,
      0.0012518528743088527,
      0.0011618196559684709,
      0.0010732465068189294,
      0.0009861097833849882,
      0.0009003860871544945,
      0.0008160525165463127,
      0.000733086589539022,
      0.0006514660853569423,
      0.0005711692563577167,
      0.0004921746534395394,
      0.0004144610992433335,
      0.0003380078785791255,
      0.00026279450421754934,
      0.00018880084014703596,
      0.00011600717525304313,
      4.439402493725442e-05,
      -2.605765899268358e-05,
      -9.53667668059132e-05,
      -0.0001635518695093835,
      -0.00023063121548866773,
      -0.00029662273230484986,
      -0.00036154414767722336,
      -0.00042541269027729817,
      -0.0004882454883119494,
      -0.0005500593629405621,
      -0.0006108707800755831,
      -0.0006706959912656065,
      -0.000729550932050147,
      -0.0007874514627129986,
      -0.0008444129532661304,
      -0.0009004507130572095,
      -0.0009555797452918134,
      -0.0010098147615764626,
      -0.0010631702840559773,
      -0.0011156605307784514,
      -0.0011672995541984774,
      -0.0012181011435639423,
      -0.0012680788283777507,
      -0.00131724596949801,
      -0.0013656157798689623,
      -0.0014132011027723592,
      -0.0014600147486886468,
      -0.0015060692591321225,
      -0.0015513769115272813,
      -0.0015959498500156253,
      -0.001639799942313178,
      -0.0016829388262366934,
      -0.0017253781527693992,
      -0.0017671291863597094,
      -0.0018082030463385922,
      -0.0018486108142692949,
      -0.0018883633421292263,
      -0.0019274712566501495,
      -0.0019659449565557013,
      -0.002003794723315667,
      -0.002041030666146882,
      -0.0020776627552831434,
      -0.0021137008166378446,
      -0.002149154494121368,
      -0.0021840331918814887,
      -0.002218346244977446,
      -0.0022521027396986784,
      -0.0022853118100811865,
      -0.002317982330143331,
      -0.0023501229998002682,
      -0.0023817423915359604,
      -0.0024128489651831717,
      -0.0024434510946504226,
      -0.002473557049919151,
      -0.002503174781438377,
      -0.0025323120849552717,
      -0.002560976861091252,
      -0.002589176815539294,
      -0.00261691936854579,
      -0.0026442120656837674,
      -0.0026710621939278114
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334597055987926,
      10.093098997927802,
      9.845096286350536,
      9.593439234728644,
      9.340654254080375,
      9.088918091468491,
      8.840039135987205,
      8.595453579028026,
      8.35621982403987,
      8.123036336927003,
      7.896278278466254,
      7.676044430890543,
      7.4622098487250526,
      7.254479794198358,
      7.052441331637724,
      6.855610060361707,
      6.663470713042347,
      6.475511111020367,
      6.291248256691368,
      6.11024825239515,
      5.9321371484002725,
      5.756598904940317,
      5.583384055486923,
      5.412327447760472,
      5.243342737804476,
      5.076407611419959,
      4.911575532010864,
      4.74899984004054,
      4.588940498431634,
      4.4317055868666895,
      4.277629283602704,
      4.127074443669621,
      3.98042829878757,
      3.8380739257656074,
      3.700371573221119,
      3.567646170253699,
      3.4401775534585584,
      3.3181933826789263,
      3.201865129261583,
      3.091304861331966,
      2.9865522966015616,
      2.887575603798013,
      2.7942644370355407,
      2.7064244784997706,
      2.6238112501993336,
      2.546174007475844,
      2.473252174051413,
      2.404780858243723,
      2.340492563947171,
      2.280102409714418,
      2.2232820200198273,
      2.1696522102703613,
      2.1188705468693083,
      2.070607079603699,
      2.024554181761795,
      1.980444901070246,
      1.938066327012005,
      1.8972394569641589,
      1.8578164650759097,
      1.8196782359697534,
      1.7827203188876282,
      1.7468533237392412,
      1.7120046460166358,
      1.6781137591913924,
      1.6451289698729379,
      1.6130051612460987,
      1.5817022170160424,
      1.551183912284276,
      1.5214171289399008,
      1.4923735971165384,
      1.4640304115049116,
      1.4363670703565854,
      1.4093621415875934,
      1.3829923246353366,
      1.357235645712199,
      1.3320712895722029,
      1.3074793744697246,
      1.2834409144181222,
      1.2599377787813373,
      1.2369526515515326,
      1.2144689899342218,
      1.1924709855914621,
      1.1709435259573397,
      1.1498721578398248,
      1.1292439847643,
      1.109047180748014,
      1.0892704244656333,
      1.0699027597590167,
      1.0509332197349894,
      1.0323511268216088,
      1.014146451662385,
      0.9963093566588622,
      0.9788301654870271,
      0.9616994332315857,
      0.9449079847915312,
      0.9284469340972586,
      0.9123076902280977,
      0.8964819569931902,
      0.8809617269681157,
      0.8657392738078309,
      0.850807142007792,
      0.8361581362710452,
      0.8217853113020174,
      0.8076819608550796,
      0.7938416074462354,
      0.7802579924751016,
      0.7669250664963018,
      0.7538369801322061,
      0.7409880750961974,
      0.7283728761610909,
      0.7159860831467025,
      0.7038225630116767,
      0.6918773428143994,
      0.6801456036445529,
      0.6686226735862072,
      0.6573040217356471,
      0.64618525213941,
      0.6352620986513263,
      0.6245304199226186,
      0.6139861935342474,
      0.6036254633761569,
      0.5934443566076063,
      0.5834391358642206,
      0.5736061855515292,
      0.5639420006607574,
      0.5544431784677466,
      0.545106412193032,
      0.5359284858811376,
      0.526906269581286,
      0.5180372752074689,
      0.5093195390904388,
      0.5007508183868986,
      0.4923286672935396,
      0.48405053583409613,
      0.4759138323629585,
      0.4679159614625693,
      0.46005434839872805,
      0.4523264531394413,
      0.44472977886446363,
      0.4372618768740172,
      0.4299203486199054,
      0.42270284679441206,
      0.4156070838646326,
      0.40863108143914184,
      0.4017730083146876,
      0.39503093169129927,
      0.38840287222471703,
      0.38188683771710485,
      0.3754808432862055,
      0.3691829248646046,
      0.3629911461370907,
      0.3569036031776241,
      0.3509184503743755,
      0.34503400674397333,
      0.3392486304591271,
      0.3335606512922713,
      0.32796839432282704,
      0.32247019399980237,
      0.3170644030527762,
      0.311749397804113,
      0.30652358860651663,
      0.3013854442808767,
      0.2963334586290715,
      0.2913661404555529,
      0.28648201891002345,
      0.28167964594950257,
      0.27695759815072873,
      0.27231447756457927,
      0.2677488831387315,
      0.26325924914396903,
      0.2588440150401272,
      0.2545017419684594,
      0.2502310769282369,
      0.24603073007805706,
      0.24189945995513001,
      0.237836063686291,
      0.23383937096195434,
      0.2299084566040346,
      0.2260426848813964,
      0.2222412976396697,
      0.21850341898607661,
      0.2148281043613099,
      0.2112143721730959,
      0.2076612241286429,
      0.2041676576788971,
      0.20073267417211982,
      0.1973552829029367,
      0.19403442381409103,
      0.19076901452879724,
      0.1875580354231466,
      0.184400512642264,
      0.18129550764556115,
      0.1782421100909746,
      0.1752394331549882,
      0.17228661060440859,
      0.1693827946041309,
      0.16652715428642167,
      0.16371887475864363,
      0.16095715647725237,
      0.15824121436290875,
      0.1555702775135349,
      0.1529435887063323,
      0.15036040437592177,
      0.1478199938662192,
      0.1453216393474042,
      0.14286463553301912,
      0.1404482893688574,
      0.1380719199793431,
      0.13573485812090802,
      0.13343644635647234,
      0.13117603848200124,
      0.1289529993615977,
      0.12676670495518985,
      0.1246165420236404,
      0.12250190772026039,
      0.12042220938006216,
      0.11837686472233722,
      0.11636530126476363,
      0.11438695652602189,
      0.11244127750953721,
      0.11052772064373695,
      0.10864575158745948,
      0.10679484503365964,
      0.10497448451043774,
      0.10318416255519128,
      0.10142338026347161,
      0.09969164712674328,
      0.09798848091134495,
      0.09631340748896335,
      0.09466596088533852,
      0.093045682809854,
      0.0914521228029491,
      0.08988483795214317,
      0.08834339286994859,
      0.08682735956742915,
      0.08533631702245606,
      0.08386985133234966,
      0.08242755568177512,
      0.08100903001069128,
      0.07961388094202371,
      0.078241721688391,
      0.07689217199515257,
      0.07556485780435333,
      0.07425941152652066,
      0.07297547170560502,
      0.07171268273805159,
      0.0704706949630465,
      0.06924916479945863,
      0.06804775423701892,
      0.06686613092054038,
      0.06570396802586793,
      0.0645609441654014,
      0.06343674319896869,
      0.06233105450012959,
      0.06124357245385798,
      0.06017399652618424,
      0.05912203121587579,
      0.05808738592316757,
      0.057069774785553314,
      0.05606891675425871,
      0.05508453551321863,
      0.05411635926368479,
      0.05316412073526459,
      0.05222755714082049,
      0.05130640992886367,
      0.0504004249050247,
      0.049509351994448066,
      0.04863294542367265,
      0.04777096348961016,
      0.04692316828939342,
      0.04608932604399718,
      0.045269206845644866,
      0.04446258459809023,
      0.04366923686322079,
      0.04288894492180192,
      0.042121493667567914,
      0.041366671555797166,
      0.04062427051188745,
      0.03989408590405333,
      0.039175916401622664,
      0.03846956414851772,
      0.037774834555285894,
      0.037091536228017856,
      0.03641947394749549,
      0.0357584261174755,
      0.03510817643989823,
      0.034468525228153093,
      0.03383928437822032,
      0.03322027441511799,
      0.032611322406185375,
      0.03201226050990648,
      0.03142292521261893,
      0.030843156823779125,
      0.03027279889692944,
      0.02971169771393693,
      0.029159702346000453,
      0.028616664617379172,
      0.02808243886352683,
      0.027556881889517774,
      0.02703985290647696,
      0.026531213324784853,
      0.02603082691799449,
      0.025538559735387323,
      0.02505427991528915,
      0.02457785777357176,
      0.024109165811286037,
      0.023648078527473512,
      0.023194472481817108,
      0.02274822621188333,
      0.022309220279346547,
      0.021877337158841364,
      0.02145246128030067,
      0.02103447889445204,
      0.020623278110797044,
      0.02021874875855091,
      0.019820782648474707,
      0.019429273212618812,
      0.019044115691226278,
      0.01866520707875546,
      0.018292445911046576,
      0.017925732421078977,
      0.01756496848532852,
      0.01721005750645554,
      0.01686090454343376,
      0.016517416105068232,
      0.01617950033060944,
      0.015847066693257687,
      0.015520026287845759,
      0.015198291628487858,
      0.014881776674725044,
      0.01457039662763365,
      0.014264068290837309,
      0.013962709693412529,
      0.013666240150256038,
      0.013374580282582291,
      0.013087652005712505,
      0.012805378591999917,
      0.012527684484193202,
      0.012254495418954176,
      0.011985738313909308,
      0.011721341305297724,
      0.01146123372048302,
      0.011205345889939843,
      0.01095360924755001,
      0.0107059565412423,
      0.010462321403652998,
      0.010222638631848526,
      0.009986844179368537,
      0.009754875038817194,
      0.009526669121695539,
      0.009302165281997152,
      0.00908130341989475,
      0.008864024468532792,
      0.00865027034675537,
      0.008439983991937898,
      0.008233109091638125,
      0.008029590276148522,
      0.00782937306017793,
      0.007632403857907942,
      0.007438630027517306,
      0.007247999759774183,
      0.007060461989220861,
      0.006875966492731296,
      0.0066944640107017075,
      0.006515905868966398,
      0.006340244405027853,
      0.00616743265362451,
      0.005997424315050919,
      0.005830173949070412,
      0.005665636732505395,
      0.005503768709874791,
      0.005344526601652137,
      0.005187867716949509,
      0.005033750237862355,
      0.004882132978976979,
      0.004732975295378533,
      0.00458623728601216,
      0.0044418796942617906,
      0.004299863906463535,
      0.004160151914858465,
      0.004022706448350192,
      0.0038874907115967927,
      0.0037544685079000336,
      0.0036236041732898125,
      0.003494862741946372,
      0.003368209796170483,
      0.0032436114777283243,
      0.003121034475708182,
      0.003000445959287284,
      0.0028818136594006534,
      0.0027651058430523253,
      0.0026502912396904406,
      0.0025373391221810188,
      0.002426219389812873,
      0.002316902322799995,
      0.002209358637583077,
      0.0021035594861125223,
      0.001999476673565851,
      0.0018970823375788206,
      0.0017963490807151048,
      0.0016972499265913265,
      0.0015997584365168523,
      0.001503848522974198,
      0.0014094944745334584,
      0.0013166710519246887,
      0.0012253533255148924,
      0.0011355169527525709,
      0.0010471379743489456,
      0.0009601926757268788,
      0.0008746579075138398,
      0.0007905106892153219,
      0.0007077284688252647,
      0.0006262891170435734,
      0.0005461709550271028,
      0.00046735252258855195,
      0.0003898127171141592,
      0.00031353071030390837,
      0.00023848615278962095,
      0.0001646590688744798,
      9.202961260488435e-05,
      2.0578295304980154e-05,
      -4.971386212176271e-05,
      -0.00011886563883334094,
      -0.00018689561797494776,
      -0.0002538219859461524,
      -0.0003196626484328713,
      -0.000384435198986825,
      -0.0004481570389115029,
      -0.0005108452356769694,
      -0.0005725164752962033,
      -0.0006331872680039492,
      -0.0006928737902690444,
      -0.0007515919993182852,
      -0.0008093576637941141,
      -0.0008661863113366527,
      -0.0009220930986492455,
      -0.0009770929409495793,
      -0.0010312005515609227,
      -0.0010844303595441479,
      -0.0011367966045930816,
      -0.0011883133548467855,
      -0.0012389944348087174,
      -0.0012888533906397798,
      -0.0013379035114045327,
      -0.0013861579831989837,
      -0.001433629597349941,
      -0.001480331124903149,
      -0.0015262750679708118,
      -0.0015714736897056386,
      -0.0016159390624601903,
      -0.0016596831340856876,
      -0.001702717571436608,
      -0.0017450539144410891,
      -0.0017867034621241913,
      -0.0018276773680224068,
      -0.0018679865757359432,
      -0.001907641830148608,
      -0.0019466537577267399,
      -0.001985032895544794,
      -0.002022789338313644,
      -0.002059933216870323,
      -0.0020964745853462876,
      -0.002132423161669526,
      -0.0021677885817601482,
      -0.002202580380337739,
      -0.0022368078566430646,
      -0.002270480123599946,
      -0.002303606067207141,
      -0.0023361946296235076,
      -0.0023682544942241783,
      -0.002399794240769357,
      -0.0024308223535055105,
      -0.0024613471339364488,
      -0.0024913768412351497,
      -0.0025209194891910366,
      -0.0025499828712516296,
      -0.00257857478869996,
      -0.0026067028138322054,
      -0.0026343745679028568,
      -0.002661597407557582,
      -0.0026883786255028335
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33459275650641,
      10.093084773689501,
      9.845066379636956,
      9.593388770239365,
      9.340579813924611,
      9.08881737707802,
      8.839910796165942,
      8.59529705248768,
      8.356034990637303,
      8.122823358157177,
      7.896037468664484,
      7.675776164855364,
      7.4619145009527745,
      7.254157706261788,
      7.052092803843874,
      6.855235364374368,
      6.663070105669089,
      6.475084860644689,
      6.290796709772484,
      6.10977189767011,
      5.931636693031667,
      5.756075346007473,
      5.5828386881171435,
      5.411761797518392,
      5.2427584752116445,
      5.075806564737835,
      4.910959820291944,
      4.748372337357395,
      4.588304767531773,
      4.431065211571951,
      4.276987852970678,
      4.126435649658875,
      3.9797959268611454,
      3.8374515169113823,
      3.6997623408008438,
      3.5670530240151126,
      3.4396031057522256,
      3.3176398763876493,
      3.201334390844501,
      3.0907982183118388,
      2.986070515858271,
      2.887118927898086,
      2.7938324781040254,
      2.706016181353166,
      2.6234251442542162,
      2.545808469819074,
      2.4729054118611713,
      2.4044510045248786,
      2.3401777751011994,
      2.2798008293317134,
      2.222991270118112,
      2.1693699789145726,
      2.1185947616560643,
      2.070335781344003,
      2.0242856680577455,
      1.980177867686435,
      1.937799804890155,
      1.8969727258223659,
      1.8575490141740407,
      1.8194095877440308,
      1.7824499539361354,
      1.74658090029297,
      1.7117299448038636,
      1.6778366453885238,
      1.6448493675106635,
      1.6127230350417479,
      1.5814175594798123,
      1.550896735256142,
      1.5211274569750708,
      1.4920816445651328,
      1.4637366252499753,
      1.4360718483227475,
      1.4090657678587075,
      1.3826950282351953,
      1.3569375910663373,
      1.331772593178891,
      1.3071801216682142,
      1.2831411698410775,
      1.259637593999008,
      1.2366520693978984,
      1.2141680481099908,
      1.1921697178644841,
      1.1706419641150907,
      1.1495703372416015,
      1.128941957372871,
      1.1087449987701425,
      1.088968140938898,
      1.069600418190807,
      1.0506308577626737,
      1.0320489022565102,
      1.0138445243572993,
      0.9960078354310787,
      0.9785291266103974,
      0.9613989319404417,
      0.9446080627126181,
      0.9281476240468675,
      0.9120090195014908,
      0.8961839494577466,
      0.8806644041681109,
      0.8654426554893346,
      0.8505112469305952,
      0.8358629825458753,
      0.8214909166618254,
      0.8073883430134214,
      0.7935487837301325,
      0.7799659800544635,
      0.7666338823458495,
      0.7535466410570202,
      0.7406985975921005,
      0.7280842765171627,
      0.7156983772045825,
      0.7035357664470568,
      0.6915914712291698,
      0.6798606723937596,
      0.6683386977463337,
      0.657021016138848,
      0.6459032313467431,
      0.6349810769913781,
      0.6242504113678755,
      0.6137072118475408,
      0.603347521204479,
      0.5931674661411174,
      0.5831633094089942,
      0.573331435434375,
      0.5636683390488085,
      0.5541706174093927,
      0.5448349632694663,
      0.5356581601295521,
      0.5266370777400039,
      0.517769312062637,
      0.509052901704525,
      0.5004855693675968,
      0.49206484717852816,
      0.4837881713263355,
      0.4756529407734042,
      0.4676565544792691,
      0.45979643392287844,
      0.4520700365175545,
      0.44447486387706664,
      0.4370084660771247,
      0.42966844398264603,
      0.42245244946374205,
      0.4153582072490428,
      0.4083837552894219,
      0.40152725055582067,
      0.394786752606612,
      0.388160277179725,
      0.3816458288694889,
      0.3752414211792112,
      0.3689450883811016,
      0.36275489328418314,
      0.35666893150780615,
      0.35068536187669586,
      0.34480250984202493,
      0.33901872855006276,
      0.33333234468948475,
      0.3277416811521364,
      0.32224507094495863,
      0.31684086601601086,
      0.3115274420648844,
      0.3063032100054968,
      0.30116663964091195,
      0.2961162236442327,
      0.29115047011916523,
      0.28626790738957897,
      0.28146708705489815,
      0.27674658551835896,
      0.27210500454623293,
      0.2675409444170489,
      0.26305284143661206,
      0.258639133584123,
      0.25429838117107234,
      0.2500292305416782,
      0.24583039148439928,
      0.24170062233375378,
      0.23763872001384734,
      0.23364351390782304,
      0.22971407104512886,
      0.22584975506720828,
      0.22204981057253265,
      0.21831336335997242,
      0.21463947014205487,
      0.21102715004191258,
      0.20747540510562662,
      0.20398323291175974,
      0.20054963496619324,
      0.19717361847463666,
      0.19385412006248148,
      0.19059005937422815,
      0.18738041817122117,
      0.18422422360729349,
      0.18112053763737157,
      0.17806845010605207,
      0.17506707438584734,
      0.1721155443596493,
      0.16921301226018806,
      0.16635864723873675,
      0.163551634480471,
      0.16079117426001782,
      0.15807648143699318,
      0.1554067851933802,
      0.15278132845305212,
      0.15019936745888335,
      0.14766017150045818,
      0.14516302271591164,
      0.14270721576382553,
      0.1402920576577784,
      0.13791686753452587,
      0.13558097625953824,
      0.13328372619424342,
      0.13102447112396676,
      0.12880257602935746,
      0.12661741677030902,
      0.12446837994946602,
      0.12235486278262772,
      0.12027627276720655,
      0.118232027522081,
      0.1162215547360088,
      0.11424429171491982,
      0.11229968552005731,
      0.11038719255812758,
      0.10850627861547578,
      0.10665641830565976,
      0.10483709526471086,
      0.10304780200692941,
      0.1012880395819023,
      0.0995573174880152,
      0.09785515357686014,
      0.09618107371202769,
      0.09453461190032239,
      0.09291530997369199,
      0.09132271749523961,
      0.08975639157712666,
      0.08821589686456008,
      0.08670080525972657,
      0.08521069596695834,
      0.08374515508934688,
      0.08230377572036537,
      0.0808861578882699,
      0.07949190826781621,
      0.0781206400773543,
      0.07677197304727544,
      0.07544553327141792,
      0.07414095314214549,
      0.07285787115835973,
      0.071595931873331,
      0.0703547857117328,
      0.06913408906880913,
      0.06793350393826864,
      0.06675269793591831,
      0.06559134432796976,
      0.0644491217076992,
      0.06332571413106403,
      0.062220810912713004,
      0.061134106444611765,
      0.0600653003165162,
      0.05901409705184457,
      0.05798020615773301,
      0.056963341929396644,
      0.05596322327901695,
      0.054979573842289,
      0.05401212188665424,
      0.053060600249468834,
      0.05212474608353317,
      0.05120430107351286,
      0.05029901095375153,
      0.04940862593215556,
      0.0485329001383356,
      0.04767159181499737,
      0.04682446330244738,
      0.04599128076479848,
      0.04517181435706941,
      0.04436583791765262,
      0.04357312918032104,
      0.04279346942537307,
      0.04202664352308627,
      0.041272439907820056,
      0.040530650600830706,
      0.039801071106889296,
      0.039083500276515915,
      0.03837774024452814,
      0.03768359639408774,
      0.037000877367901634,
      0.03632939499035814,
      0.035668964201934654,
      0.03501940278909461,
      0.034380529898727474,
      0.03375214109926536,
      0.033134026618010064,
      0.03252599399297084,
      0.03192786287978873,
      0.031339461421841734,
      0.03076062438988652,
      0.03019119186895945,
      0.029631008137631448,
      0.02907992094528602,
      0.028537781228825408,
      0.02800444281000771,
      0.027479762231352824,
      0.026963598506804957,
      0.026455813028613134,
      0.025956269667879974,
      0.0254648345091328,
      0.024981375829205656,
      0.024505763995245906,
      0.024037871600181764,
      0.023577573250212196,
      0.023124745646674296,
      0.022679267459808156,
      0.0222410193880926,
      0.021809884064875575,
      0.021385745936055446,
      0.02096849136585476,
      0.020558008672077365,
      0.020154187917659043,
      0.019756920995532935,
      0.019366101491288253,
      0.018981624648011286,
      0.01860338750936904,
      0.018231288815161038,
      0.01786522891000413,
      0.017505109798067006,
      0.017150835032572993,
      0.01680230970671833,
      0.01645944057167545,
      0.01612213572189636,
      0.015790304813856425,
      0.015463859099862748,
      0.015142711131064872,
      0.014826775018859107,
      0.014515966155595424,
      0.014210201181636108,
      0.013909398237550183,
      0.013613476751092066,
      0.013322357547635893,
      0.013035962666735866,
      0.012754215527434637,
      0.012477040595635347,
      0.01220436371187612,
      0.01193611185724169,
      0.011672213261479738,
      0.011412597229704016,
      0.01115719424037523,
      0.010905935958765042,
      0.010658755096365907,
      0.01041558542016424,
      0.01017636181739687,
      0.009941020351732967,
      0.009709497872605957,
      0.009481732549821523,
      0.009257663319062592,
      0.009037230221503401,
      0.008820374251076159,
      0.008607037409326184,
      0.008397162528548696,
      0.008190693492897423,
      0.007987574941705601,
      0.007787752446883056,
      0.007591172661801978,
      0.007397782901874555,
      0.007207531357752292,
      0.007020367133880192,
      0.006836240169468283,
      0.006655101105706203,
      0.0064769014928145055,
      0.006301593625319309,
      0.006129130520046322,
      0.005959466107445171,
      0.005792554993184384,
      0.005628352420414226,
      0.0054668144249725575,
      0.005307897731491474,
      0.0051515599089016735,
      0.004997759057337121,
      0.004846454076516809,
      0.00469760442796861,
      0.0045511702367414955,
      0.004407112198411108,
      0.004265391787515127,
      0.0041259710999241314,
      0.003988812844012898,
      0.003853880353330519,
      0.003721137493369416,
      0.0035905486980496422,
      0.0034620789065328787,
      0.003335693857987978,
      0.0032113597662078983,
      0.003089043327003557,
      0.0029687116956659465,
      0.0028503327142983554,
      0.0027338747408551488,
      0.0026193066268902073,
      0.0025065976397176597,
      0.0023957176661998742,
      0.0022866369736544044,
      0.0021793263222961196,
      0.002073757041093933,
      0.001969900768840473,
      0.0018677298457260901,
      0.0017672169117262542,
      0.0016683350030223826,
      0.0015710576876914496,
      0.0014753589366538792,
      0.0013812130977444205,
      0.0012885950049137391,
      0.0011974798158159604,
      0.0011078432133953982,
      0.001019661144728927,
      0.0009329100767357214,
      0.0008475668019553697,
      0.000763608392035756,
      0.0006810124510113599,
      0.0005997567476122355,
      0.0005198195669533756,
      0.0004411795424573277,
      0.00036381560395310733,
      0.00028770704109829084,
      0.000212833581128691,
      0.00013917521395625794,
      6.671211998770722e-05,
      -4.575083432407402e-06,
      -7.470547527093937e-05,
      -0.00014369788022421763,
      -0.00021157074555586654,
      -0.00027834225791959594,
      -0.0003440302176241008,
      -0.00040865224842140955,
      -0.00047222566957066746,
      -0.0005347674810189254,
      -0.0005962944748823632,
      -0.0006568230466074777,
      -0.0007163693422412629,
      -0.0007749493346094658,
      -0.0008325786950358312,
      -0.0008892728803853084,
      -0.0009450470792559285,
      -0.0009999161698125466,
      -0.0010538948607791683,
      -0.001106997692147727,
      -0.0011592387931570296,
      -0.0012106321159542014,
      -0.0012611914648836217,
      -0.0013109303470519454,
      -0.0013598620444375054,
      -0.0014079997807559064,
      -0.0014553563597067183,
      -0.0015019445015566591,
      -0.0015477766575851702,
      -0.0015928651291681108,
      -0.0016372219059792605,
      -0.00168085888490617,
      -0.0017237877258830575,
      -0.0017660199104168558,
      -0.0018075667102556423,
      -0.0018484394098379627,
      -0.001888648956215067,
      -0.001928205995601343,
      -0.0019671210933224995,
      -0.0020054047498188885,
      -0.0020430671619479646,
      -0.002080118403115375,
      -0.0021165684308896942,
      -0.0021524270179206135,
      -0.0021877037523315886,
      -0.002222408030601756,
      -0.002256548973726218,
      -0.002290135908289273,
      -0.002323177766939806,
      -0.0023556834224724823,
      -0.002387661658979975,
      -0.0024191209838260075,
      -0.0024500698326779605,
      -0.0024805165390723305,
      -0.0025104691444818154,
      -0.0025399356397909426,
      -0.0025689239903340295,
      -0.0025974420016645797,
      -0.0026254971403883685,
      -0.002653097072427062,
      -0.0026802491968574704,
      -0.002706960694080946
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334588471060417,
      10.09307059721596,
      9.845036568353137,
      9.593338461480382,
      9.340505596649301,
      9.088716958246271,
      8.839782831592563,
      8.595140982913797,
      8.355850697500571,
      8.1226110013469,
      7.895797361252427,
      7.67550867973183,
      7.46162000963293,
      7.253836549078456,
      7.051745281636121,
      6.85486174889447,
      6.662670652410297,
      6.474659837684861,
      6.290346462558897,
      6.109296911832089,
      5.931137674955,
      5.755553293354731,
      5.5822948958000955,
      5.411197788625029,
      5.242175918688302,
      5.075207285943056,
      4.910345933302668,
      4.74774670943708,
      4.587670954576697,
      4.430426790814025,
      4.2763484063681405,
      4.125798860431937,
      3.9791655702370217,
      3.836831105360218,
      3.6991550798027593,
      3.5664618157100443,
      3.439030548929685,
      3.3170882097727756,
      3.2008054365546212,
      3.0902932988912557,
      2.9855903941377284,
      2.8866638434912364,
      2.793402039589728,
      2.70560933308415,
      2.623040416983338,
      2.545444242053437,
      2.472559892207371,
      2.404122327972196,
      2.339864100497102,
      2.279500303428809,
      2.222701522288434,
      2.1690887054477304,
      2.1183198969957817,
      2.0700653635917257,
      2.02401799686828,
      1.979911645691483,
      1.937534068728375,
      1.8967067590324036,
      1.8572823093674808,
      1.8191416706593218,
      1.7821803082598893,
      1.7463091861803923,
      1.7114559441427566,
      1.6775602251684556,
      1.6445704530543415,
      1.6124415914768404,
      1.5811335789944168,
      1.5506102292428345,
      1.5208384898490315,
      1.491790449865978,
      1.4634436293663395,
      1.435777435543509,
      1.4087702134042115,
      1.382398555254742,
      1.3566403601806218,
      1.33147471787529,
      1.306881685064349,
      1.2828422355905005,
      1.259338212863266,
      1.2363522839252095,
      1.2138678957255635,
      1.1918692326784734,
      1.1703411779567523,
      1.1492692910074962,
      1.128640704552554,
      1.1084435894444702,
      1.0886666264299103,
      1.0692988412053837,
      1.0503292654580516,
      1.031747455822215,
      1.0135433779367786,
      0.9957070943256229,
      0.9782288644918142,
      0.961099202041874,
      0.9443089054582707,
      0.9278490716918047,
      0.9117110990110543,
      0.8958866842925528,
      0.8803678156909315,
      0.8651467636404229,
      0.8502160706311367,
      0.83556854023773,
      0.8211972264253584,
      0.8070954222125923,
      0.7932566499403857,
      0.7796746504519706,
      0.7663433739732377,
      0.7532569705169377,
      0.740409781516551,
      0.7277963311342054,
      0.7154113186057678,
      0.7032496106391127,
      0.691306233946017,
      0.6795763689992429,
      0.6680553431255626,
      0.6567386248581059,
      0.6456218180564247,
      0.6347006560576336,
      0.6239709964685188,
      0.613428816624808,
      0.6030701584847575,
      0.5928911485690804,
      0.5828880493597425,
      0.5730572450181537,
      0.5633952304387684,
      0.5538986023475108,
      0.5445640534037003,
      0.5353883667323535,
      0.5263684321461016,
      0.5175019177662002,
      0.5087868442649117,
      0.5002209040866483,
      0.49180161013792506,
      0.4835263861058279,
      0.4753926231372404,
      0.4673977150197794,
      0.4595390798416121,
      0.45181417287977543,
      0.44422049431887406,
      0.4367555931721074,
      0.4294170692929809,
      0.4222025741942779,
      0.41510984464320516,
      0.4081369350147398,
      0.4012819903055065,
      0.39454306276626416,
      0.38791816337299895,
      0.38140529361826575,
      0.37500246465718945,
      0.3687077094866338,
      0.3625190901951092,
      0.3564347015558528,
      0.3504527070866161,
      0.3445714388402801,
      0.3387892449258503,
      0.333104448671158,
      0.32751537079537074,
      0.3220203431319181,
      0.316617716556795,
      0.31130586623728174,
      0.3060832037892154,
      0.30094820010101403,
      0.29589934635036474,
      0.2909351499669435,
      0.2860541387170175,
      0.281254863729115,
      0.2765359011835329,
      0.2718958526141248,
      0.2673333196186679,
      0.2628467403739659,
      0.2584345515701539,
      0.25409531258787216,
      0.24982766943484688,
      0.2456303313909903,
      0.2415020563995291,
      0.23744164123431608,
      0.23344791510013338,
      0.22951993699440754,
      0.2256570699710348,
      0.22185856154813385,
      0.2181235393961726,
      0.21445106123503221,
      0.21084014677877444,
      0.2072897984527026,
      0.20379901425769395,
      0.20036679573287527,
      0.19699214771832357,
      0.19367400381734168,
      0.19041128591493472,
      0.1872029769073707,
      0.18404810474576694,
      0.18094573187174948,
      0.17789494858751395,
      0.1748948684465753,
      0.1719446253381442,
      0.16904337158015603,
      0.16619027634771955,
      0.16338452481334323,
      0.16062531729729126,
      0.1579118686479875,
      0.15524340801723102,
      0.15261917825950927,
      0.15003843554067997,
      0.14750044911522664,
      0.14500450117207944,
      0.14254988637288352,
      0.14013591162859407,
      0.13776189605141964,
      0.13542717036899596,
      0.13313107711043776,
      0.13087297005746332,
      0.1286522141235868,
      0.12646818516477362,
      0.12432026982952185,
      0.12220786526405643,
      0.12013037896434395,
      0.11808722867969777,
      0.1160778419602042,
      0.11410165623782335,
      0.1121581184746412,
      0.11024668498795218,
      0.10836682156007986,
      0.10651800300652423,
      0.10469971317464766,
      0.10291144439308876,
      0.10115269778912357,
      0.09942298275713438,
      0.09772181711691964,
      0.09604872692470867,
      0.09440324614076438,
      0.09278491662235351,
      0.09119328786437447,
      0.08962791702062554,
      0.08808836881773627,
      0.08657421513601204,
      0.08508503522314634,
      0.08362041526508025,
      0.08217994840498459,
      0.08076323468770573,
      0.07936988071708745,
      0.07799949984242498,
      0.07665171192033128,
      0.07532614295676937,
      0.07402242527379647,
      0.07274019751447798,
      0.07147910429212995,
      0.07023879614103251,
      0.0690189293044695,
      0.06781916593417919,
      0.06663917375519789,
      0.06547862604995056,
      0.06433720162142591,
      0.06321458436627549,
      0.06211046367773826,
      0.06102453416588191,
      0.05995649516176961,
      0.058906051352655024,
      0.05787291222797284,
      0.0568567921063568,
      0.05585741006626271,
      0.054874489852896426,
      0.05390775969448167,
      0.05295695243109445,
      0.05202180530770889,
      0.05110205995911145,
      0.05019746221975606,
      0.04930776229050315,
      0.04843271447930924,
      0.04757207710398046,
      0.046725612444828625,
      0.045893086722037096,
      0.04507427016764283,
      0.04426893679117308,
      0.043476864213962296,
      0.04269783373975716,
      0.04193163044894571,
      0.041178042855507295,
      0.040436863015950605,
      0.03970788640691002,
      0.03899091192101845,
      0.03828574172901704,
      0.03759218128849386,
      0.036910039428729176,
      0.03623912790761337,
      0.03557926157476307,
      0.0349302584828292,
      0.03429193962935773,
      0.033664129034588576,
      0.03304665360814981,
      0.03243934308419343,
      0.03184201668356416,
      0.03125447397919592,
      0.03067652667349349,
      0.030107999600370916,
      0.029548727223234178,
      0.028998551023048068,
      0.02845731786139662,
      0.027924879000466474,
      0.02740108928603527,
      0.026885806701294944,
      0.026378892046802105,
      0.02588020876505083,
      0.025389622731009764,
      0.02490700224895299,
      0.024432217740728457,
      0.023965141811431563,
      0.02350564920891885,
      0.023053616651499055,
      0.022608922860888742,
      0.022171448825350045,
      0.021741077120394862,
      0.021317692392604424,
      0.020901181193800526,
      0.020491431843827432,
      0.020088334610307367,
      0.019691781501374725,
      0.019301666237076145,
      0.01891788425940644,
      0.018540332596027713,
      0.01816891007412083,
      0.017803517222627938,
      0.017444056168976103,
      0.017090430586204908,
      0.01674254565898564,
      0.01640030824645937,
      0.01606362665066793,
      0.015732410676975634,
      0.015406571560421106,
      0.015086022082196266,
      0.014770676284827595,
      0.014460449548660471,
      0.014155258896314877,
      0.013855022565459393,
      0.013559660101764313,
      0.013269092329705428,
      0.012983241296322785,
      0.012702030544632844,
      0.012425384769087312,
      0.01215322981294077,
      0.011885492778119714,
      0.011622101993784972,
      0.01136298679869793,
      0.01110807777946806,
      0.010857306778029752,
      0.010610606567106943,
      0.010367911019053521,
      0.010129155221670086,
      0.009894275121846418,
      0.00966320780221573,
      0.009435891355162852,
      0.009212264843497254,
      0.00899226842392216,
      0.008775843144061634,
      0.008562931048439961,
      0.008353475078013485,
      0.008147419240941976,
      0.007944708240003767,
      0.00774528777737452,
      0.007549104385934594,
      0.007356105563117644,
      0.007166239647484062,
      0.006979455743141791,
      0.006795703870117637,
      0.006614934774297656,
      0.00643710002693263,
      0.0062621519043684504,
      0.0060900436462741365,
      0.005920729138211461,
      0.005754163042635317,
      0.0055903007218895805,
      0.0054290983312904936,
      0.005270512710651257,
      0.005114501252722691,
      0.0049610222383953476,
      0.004810034552232714,
      0.004661497788099592,
      0.004515372160656421,
      0.004371618610002387,
      0.004230198508263042,
      0.004091073972423163,
      0.003954207817608182,
      0.0038195632834593005,
      0.003687104278309771,
      0.0035567953581776366,
      0.003428601676608052,
      0.003302488886203097,
      0.003178423245488898,
      0.0030563714928308556,
      0.0029363008748275908,
      0.0028181792976991454,
      0.0027019751693574717,
      0.002587657402844371,
      0.0024751953195310465,
      0.002364558738777092,
      0.002255717992958241,
      0.002148643893613263,
      0.0020433078268750934,
      0.0019396816347513313,
      0.0018377375237621904,
      0.001737448229205241,
      0.0016387868827292757,
      0.0015417270850699388,
      0.0014462428978141398,
      0.0013523086713887408,
      0.0012598991355191674,
      0.0011689895542407705,
      0.0010795556097017345,
      0.0009915734149194167,
      0.0009050194010044208,
      0.0008198704089254135,
      0.0007361036050920243,
      0.0006536964679493038,
      0.0005726269922331692,
      0.0004928735707201298,
      0.0004144147759201384,
      0.00033722949210311155,
      0.0002612970615974473,
      0.0001865972161939597,
      0.00011310994672689533,
      4.081553908537757e-05,
      -3.0305337767102416e-05,
      -0.00010027175227767713,
      -0.00016910249607762467,
      -0.00023681597327503473,
      -0.00030343027918596047,
      -0.00036896321383843804,
      -0.00043343245396633076,
      -0.0004968552214375773,
      -0.000559248497240294,
      -0.0006206290054521947,
      -0.0006810131771365527,
      -0.0007404171194584099,
      -0.000798856799889028,
      -0.0008563478668750811,
      -0.0009129056476952135,
      -0.0009685453424500529,
      -0.001023281880132604,
      -0.001077129951672588,
      -0.0011301038704473285,
      -0.001182217908457735,
      -0.001233486021424587,
      -0.0012839219864119239,
      -0.0013335392523763415,
      -0.0013823511455271728,
      -0.0014303706545673958,
      -0.0014776107614288922,
      -0.0015240841870856777,
      -0.0015698032060420194,
      -0.0016147800507557467,
      -0.0016590268388138952,
      -0.0017025553787901294,
      -0.0017453772801503571,
      -0.0017875041071310884,
      -0.0018289471058854458,
      -0.0018697173696096273,
      -0.0019098258375801092,
      -0.001949283229800539,
      -0.0019881001274568264,
      -0.002026286938136785,
      -0.0020638538983822475,
      -0.0021008110502944636,
      -0.0021371683128268773,
      -0.0021729354189074877,
      -0.0022081219663780084,
      -0.0022427372393815765,
      -0.0022767906074267342,
      -0.002310291212297834,
      -0.0023432479593598716,
      -0.002375669737130965,
      -0.00240756517853007,
      -0.0024389429556907318,
      -0.0024698115402845416,
      -0.002500179077948022,
      -0.002530053719234816,
      -0.002559443390538794,
      -0.0025883560100756616,
      -0.00261679925788147,
      -0.0026447808413860604,
      -0.0026723081886356765,
      -0.002699388623630579,
      -0.002726029484181213
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334584197920185,
      10.09305645701959,
      9.845006828238787,
      9.593288266423047,
      9.3404315412722,
      9.088616753921775,
      8.839655133918372,
      8.594985232112196,
      8.355666773925442,
      8.122399065582297,
      7.895557726278803,
      7.675241718041903,
      7.461326093243142,
      7.253516016890905,
      7.051398433458778,
      6.854488855228056,
      6.66227196986619,
      6.474235634472007,
      6.289897083481052,
      6.108822843624146,
      5.930639624184657,
      5.755032256893821,
      5.581752167139951,
      5.410634889184617,
      5.241594514544829,
      5.074609200077487,
      4.909733277671639,
      4.747122348402203,
      4.5870384390203185,
      4.429789691261632,
      4.275710298051091,
      4.1251634215326565,
      3.97853656929053,
      3.8362120357632463,
      3.698549141625246,
      3.565871906341776,
      3.4384592424579417,
      3.316537741529443,
      3.200277625567573,
      3.089789465842436,
      2.98511130081072,
      2.8862097291924136,
      2.792972507795995,
      2.705203331219637,
      2.6226564791792866,
      2.54508075029756,
      2.472215058551696,
      2.4037942903942184,
      2.3395510206869625,
      2.2792003310436875,
      2.222412293664573,
      2.1688079248425787,
      2.1180455056249006,
      2.0697953994857694,
      2.0237507610151515,
      1.979645847756434,
      1.937268750459478,
      1.8964412072664822,
      1.8570160182717916,
      1.8188741683229066,
      1.7819110794258748,
      1.7460378923149165,
      1.7111823682901552,
      1.6772842343529135,
      1.6442919721721734,
      1.6121605859384207,
      1.580850042386389,
      1.5503241738954399,
      1.5205500236334974,
      1.4914998274068572,
      1.4631512539598868,
      1.4354836755871143,
      1.4084753331911606,
      1.3821027704449282,
      1.3563438268319479,
      1.3311775470228049,
      1.3065839581087801,
      1.2825440146423819,
      1.2590395480245098,
      1.2360532174064789,
      1.213568464477457,
      1.191569470655664,
      1.1700411164888733,
      1.1489689705525066,
      1.1283401794925578,
      1.1081429097947875,
      1.0883658436067043,
      1.0689979978630817,
      1.0500284623665967,
      1.0314468772791392,
      1.0132431475315498,
      0.9954072975943592,
      0.9779295628356063,
      0.9608004412989035,
      0.9440107212783705,
      0.927551493147695,
      0.9114141510106522,
      0.8955903891541962,
      0.8800721941388804,
      0.8648518351718365,
      0.8499218541202385,
      0.8352750539137055,
      0.8209044880388988,
      0.8068034492892211,
      0.7929654594859541,
      0.779384259458111,
      0.7660537993250083,
      0.7529682291170373,
      0.7401218898630603,
      0.7275093057005546,
      0.7151251753941518,
      0.702964365282039,
      0.6910219022030841,
      0.679292966225907,
      0.6677728845448436,
      0.6564571253383592,
      0.6453412920825614,
      0.6344211180218376,
      0.62369246074847,
      0.6131512972463137,
      0.6027936680873098,
      0.592615699521234,
      0.582613654178121,
      0.5727839160672031,
      0.5631229798512118,
      0.5536274420637807,
      0.544293994948923,
      0.535119421443275,
      0.5261006550553919,
      0.517235421991495,
      0.5085217021389157,
      0.49995716279772107,
      0.49153930037311655,
      0.48326552814037455,
      0.4751332306943461,
      0.4671397973221281,
      0.45928264320876744,
      0.4515592218772983,
      0.44396703213262645,
      0.43650362225178374,
      0.42916659142869934,
      0.4219535906612523,
      0.414862368750432,
      0.4078909962100262,
      0.4010376063105927,
      0.3943002439118094,
      0.38767691524596876,
      0.3811656186700017,
      0.37476436333863183,
      0.368471180837772,
      0.3622841322729634,
      0.3562013118930377,
      0.35022088800215484,
      0.3443411990180042,
      0.33856058800441546,
      0.3328773751362463,
      0.327289878965022,
      0.32179642981310624,
      0.31639537766781445,
      0.3110850971568754,
      0.3058640010873915,
      0.3007305603206045,
      0.29568326514213106,
      0.2907206219310999,
      0.2858411581673587,
      0.2810434246009131,
      0.2763259970527358,
      0.2716874769548607,
      0.2671264671765345,
      0.26264140778114886,
      0.258230734096407,
      0.2538930048036547,
      0.24962686518278013,
      0.2454310242620137,
      0.24130423956979086,
      0.23724530765553295,
      0.23325305754755465,
      0.22932654030176797,
      0.22546511847517597,
      0.22166804243107358,
      0.2179344415353108,
      0.21426337466918388,
      0.2106538623428474,
      0.20710490724867697,
      0.20361550753267343,
      0.20018466489654915,
      0.196811381956597,
      0.19349458923269325,
      0.19023321066181179,
      0.18702623055711168,
      0.18387267759285444,
      0.18077161473845602,
      0.17772213251493324,
      0.17472334462133426,
      0.17177438514581875,
      0.16887440645534713,
      0.1660225777126075,
      0.16321808414931685,
      0.16046012601869003,
      0.15774791831240648,
      0.1550806899946893,
      0.15245768376343127,
      0.14987815589242526,
      0.14734137569740832,
      0.1448466253178828,
      0.1423931993561507,
      0.1399804047300205,
      0.13760756053483322,
      0.1352739975654808,
      0.1329790581590201,
      0.13072209604507476,
      0.12850247630100636,
      0.1263195747808306,
      0.1241727780416719,
      0.12206148336618575,
      0.11998509820770739,
      0.1179430401505122,
      0.11593473673619174,
      0.1139596254872332,
      0.11201715343452147,
      0.1101067769805939,
      0.10822796191419126,
      0.10638018292707849,
      0.10456292370765882,
      0.10277567665017016,
      0.1010179429622472,
      0.09928923213356763,
      0.09758906203049655,
      0.0959169586946625,
      0.09427245610549945,
      0.09265509604611083,
      0.09106442821874158,
      0.08950000985922839,
      0.08796140567686382,
      0.08644818754638879,
      0.0849599346098358,
      0.08349623316856229,
      0.0820566764669386,
      0.08064086447800149,
      0.07924840390395581,
      0.07787890811166732,
      0.07653199686572988,
      0.07520729631675284,
      0.07390443900654013,
      0.07262306335809737,
      0.07136281405603838,
      0.07012334167267838,
      0.06890430258005911,
      0.06770535894342422,
      0.0665261785067335,
      0.06536643460223295,
      0.06422580605000162,
      0.0631039769253228,
      0.062000636605779536,
      0.06091547950415275,
      0.059848205278115935,
      0.05879851859141761,
      0.05776612896087499,
      0.05675075074526684,
      0.055752103091869246,
      0.05476990977376522,
      0.05380389907916025,
      0.05285380389269861,
      0.0519193615524936,
      0.051000313761752306,
      0.05009640639612971,
      0.04920738969902433,
      0.04833301797144584,
      0.04747304955426401,
      0.04662724685109533,
      0.04579537618182745,
      0.044977207749952154,
      0.04417251559291326,
      0.04338107745424518,
      0.04260267474353361,
      0.04183709243375659,
      0.04108411915673971,
      0.04034354699448243,
      0.03961517150626236,
      0.03889879170883152,
      0.038194209751678095,
      0.03750123115450405,
      0.03681966471711359,
      0.03614932221950514,
      0.03549001871236786,
      0.03484157222814543,
      0.03420380389843217,
      0.03357653772663777,
      0.03295960060756812,
      0.03235282230687197,
      0.031756035432459064,
      0.03116907545525118,
      0.0305917803847513,
      0.030023990982312523,
      0.029465528668690056,
      0.028916205564601036,
      0.028375849207197445,
      0.027844298375246077,
      0.027321399724036365,
      0.026807006072850383,
      0.026300974824496375,
      0.02580316736984975,
      0.025313448246617132,
      0.024831684762340347,
      0.0243577467996522,
      0.02389150672047697,
      0.023432839274156222,
      0.022981621125900475,
      0.022537731099394137,
      0.022101050033330263,
      0.02167146072195135,
      0.02124884788247637,
      0.020833098167826553,
      0.020424100142820527,
      0.02002174399394766,
      0.019625921862589935,
      0.019236527670827175,
      0.018853456972856748,
      0.018476607073780814,
      0.018105876926337725,
      0.01774116709771592,
      0.01738237979308636,
      0.017029418777894535,
      0.01668218951599071,
      0.016340598843436773,
      0.01600455518889326,
      0.01567396844342883,
      0.015348750008188758,
      0.01502881272065012,
      0.014714070703541228,
      0.014404439696333291,
      0.014099836616508713,
      0.013800179730119195,
      0.01350538878925841,
      0.013215384749179224,
      0.01293008995448099,
      0.012649427732811042,
      0.01237332301023393,
      0.012101701800384317,
      0.011834491251580629,
      0.011571619729945953,
      0.011313016722786822,
      0.011058612797635965,
      0.01080833995955769,
      0.01056213107887773,
      0.010319920105251115,
      0.010081642177271165,
      0.009847233476209659,
      0.009616630994718016,
      0.009389772995734045,
      0.009166598725726184,
      0.008947048271772581,
      0.008731062829011468,
      0.008518584495275802,
      0.008309556304788723,
      0.008103922227287098,
      0.007901627176993825,
      0.007702617032119199,
      0.007506838326776174,
      0.007314238632962833,
      0.00712476629742668,
      0.00693837060163719,
      0.006755001556273467,
      0.006574609889735201,
      0.006397147350785856,
      0.006222566410959941,
      0.0060508202818220095,
      0.00588186291567458,
      0.005715649066513499,
      0.005552134126079697,
      0.005391274201912769,
      0.005233026256955292,
      0.005077347877279573,
      0.004924197328139484,
      0.004773533587595544,
      0.004625316268059944,
      0.004479505699578769,
      0.004336062723227688,
      0.004194948817141537,
      0.0040561261809039005,
      0.003919557599712425,
      0.003785206565491289,
      0.0036530370636177196,
      0.0035230137116453045,
      0.003395101594705391,
      0.0032692664466082546,
      0.003145474527988814,
      0.0030236927549341735,
      0.00290388846699204,
      0.0027860294646139074,
      0.0026700840861204715,
      0.0025560213952348612,
      0.0024438107986235287,
      0.0023334222633440305,
      0.002224826122271618,
      0.0021179933075846525,
      0.0020128951094088086,
      0.0019095034449184787,
      0.0018077906715963,
      0.0017077294151713587,
      0.0016092928502567134,
      0.001512454614058154,
      0.001417188798238093,
      0.0013234698345504924,
      0.001231272598038833,
      0.0011405724800575931,
      0.0010513451073441414,
      0.000963566545132219,
      0.0008772133178524684,
      0.0007922622087888514,
      0.0007086904423328329,
      0.0006264756583870561,
      0.0005455958689456481,
      0.00046602934636518465,
      0.0003877547480863709,
      0.00031075112822003193,
      0.0002349977915509279,
      0.0001604745432661105,
      8.716141231930605e-05,
      1.5038662175194425e-05,
      -5.591303221629821e-05,
      -0.00012571262846485735,
      -0.000194378905757554,
      -0.00026193024583866855,
      -0.0003283847053036301,
      -0.00039376012472196236,
      -0.000458073956777018,
      -0.0005213434620033676,
      -0.0005835856940385684,
      -0.0006448172610273941,
      -0.0007050546264208279,
      -0.0007643138425885753,
      -0.0008226108175789007,
      -0.0008799612502408655,
      -0.000936380475520247,
      -0.0009918836140103073,
      -0.0010464854591977252,
      -0.0011002006694219894,
      -0.0011530437679932164,
      -0.0012050289139607208,
      -0.0012561699895803676,
      -0.001306480648579494,
      -0.001355974375955627,
      -0.0014046643944917406,
      -0.0014525638314374359,
      -0.0014996854454177304,
      -0.001546041956475247,
      -0.0015916456954589632,
      -0.0016365088556857096,
      -0.0016806435918523398,
      -0.0017240617115168555,
      -0.0017667749186641112,
      -0.0018087946114446684,
      -0.0018501320671232028,
      -0.0018907983271497818,
      -0.0019308041959129885,
      -0.0019701604232577417,
      -0.0020088776576076125,
      -0.00204696613143778,
      -0.0020844361405406337,
      -0.002121297772583813,
      -0.002157560902223558,
      -0.002193235293577152,
      -0.0022283304666786646,
      -0.002262855805008868,
      -0.0022968204457966346,
      -0.0023302335832220476,
      -0.0023631042628152526,
      -0.0023954412067866042,
      -0.0024272531158711086,
      -0.002458548442273865,
      -0.0024893355439126394,
      -0.0025196227554741425,
      -0.0025494181983087803,
      -0.0025787298887075647,
      -0.0026075656293922784,
      -0.0026359331740365725,
      -0.0026638401300186614,
      -0.0026912938359382713,
      -0.0027183017275084053,
      -0.0027448710803533853
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334579922440948,
      10.093042313573171,
      9.844977082346476,
      9.593238061010862,
      9.340357471830094,
      9.088516530986618,
      8.839527413549167,
      8.594829455229691,
      8.355482818973897,
      8.122187089755839,
      7.895318041105114,
      7.674974695897427,
      7.461032105877644,
      7.253195404517391,
      7.051051494561572,
      6.854115859268435,
      6.661873172163868,
      6.473811301469335,
      6.2894475604182265,
      6.108348617737105,
      5.930141400063109,
      5.754511030907964,
      5.581209234408939,
      5.4100717728414525,
      5.241012881785798,
      5.074010874576262,
      4.909120371956609,
      4.74649772716946,
      4.586405653421611,
      4.429152312491444,
      4.275071902358202,
      4.124527686883917,
      3.977907265873527,
      3.835592658818022,
      3.697942891074145,
      3.565281678833129,
      3.43788761245524,
      3.3159869445298376,
      3.199749481567213,
      3.089285295062141,
      2.9846318635612605,
      2.885755263278491,
      2.792542615029639,
      2.704796957667742,
      2.6222721579366395,
      2.544716863353951,
      2.4718698184165517,
      2.403465836005206,
      2.339237514176508,
      2.278899922180338,
      2.2221226215054313,
      2.1685266973199346,
      2.117770666865378,
      2.0695249889179514,
      2.023483081662833,
      1.979379610735028,
      1.9370029979476189,
      1.8961752275472112,
      1.856749306499076,
      1.8186062720362572,
      1.7816414902969044,
      1.7457662632838349,
      1.7109084764466702,
      1.6770079429421132,
      1.6440132039350805,
      1.6118793045897855,
      1.580566239467861,
      1.550037859957269,
      1.5202613062559382,
      1.4912089820994248,
      1.4628586935386036,
      1.4351897573059964,
      1.408180314261264,
      1.3818068610659278,
      1.356047179581184,
      1.330880270061759,
      1.3062861307749525,
      1.2822456985567756,
      1.2587407924412706,
      1.2357540638903817,
      1.2132689496371607,
      1.1912696281030162,
      1.1697409781263766,
      1.1486685767512566,
      1.1280395835324353,
      1.107842161098749,
      1.08806499355946,
      1.0686970889366518,
      1.0497276072609976,
      1.0311462555563646,
      1.0129428805078078,
      0.9951074695646275,
      0.9776302339226599,
      0.9605016561757127,
      0.9437125150495649,
      0.9272538946032367,
      0.9111171849875392,
      0.8952940776030801,
      0.8797765573222729,
      0.8645568925388191,
      0.8496276244016453,
      0.8349815555073027,
      0.8206117387180177,
      0.8065114667621818,
      0.7926742611780487,
      0.7790938625601579,
      0.7657642207528484,
      0.7526794854831175,
      0.7398339977409333,
      0.7272222814444042,
      0.7148390354053177,
      0.702679125602593,
      0.6907375786067329,
      0.6790095743226426,
      0.6674904395960576,
      0.6561756423911891,
      0.6450607856360461,
      0.6341416023181197,
      0.623413949596126,
      0.6128738042407593,
      0.6025172061348172,
      0.5923402811664488,
      0.5823392918204626,
      0.5725106220671669,
      0.5628507663490123,
      0.5533563209168606,
      0.5440239775341308,
      0.5348505190105395,
      0.5258329223323092,
      0.5169689722575213,
      0.508256607898756,
      0.4996934707351479,
      0.49127704129041977,
      0.48300472251325266,
      0.47487389207496994,
      0.46688193500039915,
      0.4590262636317227,
      0.45130432944234017,
      0.44371363009578585,
      0.43625171278612035,
      0.4289161762085479,
      0.421704670853787,
      0.41461495784395,
      0.40764512401799563,
      0.40079329057338065,
      0.3940574948866582,
      0.38743573837881135,
      0.3809260162540741,
      0.3745263356491166,
      0.36823472687310277,
      0.3620492501827073,
      0.35596799901724263,
      0.3499891482426292,
      0.3441110401839169,
      0.33833201311115746,
      0.33265038403998115,
      0.32706446975310244,
      0.32157259925569054,
      0.3161731217892418,
      0.3108644110890121,
      0.30564488170300275,
      0.3005130042138788,
      0.29546726773898363,
      0.29050617820767066,
      0.28562826228275956,
      0.2808320704411254,
      0.27611617824934837,
      0.27147918691339845,
      0.2669197005389487,
      0.2624361611931237,
      0.25802700298351017,
      0.2536907835773576,
      0.24942614770739452,
      0.24523180392330085,
      0.24110650954407448,
      0.23704906093434222,
      0.23305828702404352,
      0.22913323080227146,
      0.22527325425481165,
      0.22147761059182544,
      0.21774543097762833,
      0.2140757753546283,
      0.21046766495360134,
      0.2069201029252495,
      0.20343208766292997,
      0.200002620993794,
      0.19663070312095546,
      0.19331526148188888,
      0.19005522193905755,
      0.18684957019675555,
      0.1836973359058191,
      0.18059758252396507,
      0.17754940096807612,
      0.17455190510720298,
      0.17160422922857163,
      0.16870552557711133,
      0.1658549633675478,
      0.16305172767536255,
      0.16029501894791495,
      0.15758405203443543,
      0.15491805590269803,
      0.15229627338017473,
      0.149717960576655,
      0.1471823867561081,
      0.1446888339650543,
      0.14223659686816495,
      0.13982498232704385,
      0.13745330946517983,
      0.13512090910069421,
      0.13282712349288986,
      0.13057130643424134,
      0.1283528229186901,
      0.1261710488054473,
      0.12402537063055814,
      0.12191518556527807,
      0.11983990116587966,
      0.11779893503490116,
      0.11579171483828472,
      0.1138176780111042,
      0.11187627143696796,
      0.10996695160950533,
      0.10808918430972425,
      0.10624244439006918,
      0.10442621552450637,
      0.1026399901658506,
      0.10088326943050262,
      0.09915556287839129,
      0.09745638830231973,
      0.09578527177407713,
      0.09414174729870663,
      0.0925253568778299,
      0.09093565010355582,
      0.08937218416118786,
      0.08783452359626423,
      0.0863222404927131,
      0.08483491403792091,
      0.0833721305801252,
      0.08193348342153452,
      0.08051857263612218,
      0.07912700492404731,
      0.07775839370273649,
      0.07641235881788433,
      0.07508852636341619,
      0.07378652882937019,
      0.0725060048621489,
      0.0712465991744393,
      0.07000796237868205,
      0.06878975083216679,
      0.06759162662708892,
      0.06641325763980598,
      0.0652543173021661,
      0.06411448440309596,
      0.06299344297919017,
      0.06189088250863748,
      0.06080649763765723,
      0.059739987967935004,
      0.058691058196451124,
      0.057659417876235686,
      0.05664478150423632,
      0.05564686821061377,
      0.05466540174832446,
      0.05370011046869159,
      0.05275072732003679,
      0.05181698973979191,
      0.05089863940104618,
      0.04999542224896888,
      0.04910708851799996,
      0.04823339261901885,
      0.04737409295008229,
      0.04652895196089185,
      0.0456977359715578,
      0.04488021535309074,
      0.044076164229817694,
      0.04328536035867564,
      0.042507585095509205,
      0.041742623549572894,
      0.040990264367937776,
      0.04025029967314414,
      0.0395225250969451,
      0.038806739658725185,
      0.038102745679339495,
      0.03741034867900819,
      0.036729357433489616,
      0.03605958387770228,
      0.035400843059512986,
      0.03475295312433318,
      0.03411573510214679,
      0.03348901318259608,
      0.03287261426393098,
      0.03226636828280854,
      0.03167010781088546,
      0.031083668247247134,
      0.030506887805366867,
      0.029939607281758863,
      0.029381670095741334,
      0.028832922199130005,
      0.028293212186492344,
      0.027762390563799737,
      0.027240288977785604,
      0.026726732186189737,
      0.02622155950862391,
      0.025724620443457136,
      0.025235771961313772,
      0.024754876425356884,
      0.024281800684350627,
      0.02381641508706706,
      0.023358593058075066,
      0.02290821058933232,
      0.02246514599044314,
      0.022029279825777535,
      0.021600494758547268,
      0.02117867563841797,
      0.020763709127125444,
      0.02035548380784046,
      0.019953890086207585,
      0.0195588200599353,
      0.01917016772587647,
      0.018787828863921757,
      0.018411700787515528,
      0.018041682603020862,
      0.017677675056024446,
      0.017319580345997256,
      0.01696730251290535,
      0.016620747105594517,
      0.016279821116726392,
      0.015944433082841963,
      0.015614493037421137,
      0.015289912457266701,
      0.014970604239853094,
      0.014656482711768792,
      0.01434746365529035,
      0.014043464169157714,
      0.013744402686988616,
      0.013450198943698996,
      0.013160774067778422,
      0.012876050424809089,
      0.012595951567277353,
      0.012320402507454285,
      0.012049329264147098,
      0.011782659202336667,
      0.011520320729127863,
      0.011262243426510206,
      0.01100835805507327,
      0.010758596498618031,
      0.010512891808478276,
      0.010271178042950203,
      0.010033390421912357,
      0.009799465193542802,
      0.009569339568749356,
      0.009342951894615186,
      0.009120241355212876,
      0.008901148305723583,
      0.008685613942801377,
      0.008473580506290717,
      0.008264991059187942,
      0.008059789715831416,
      0.007857921384197327,
      0.0076593319826847375,
      0.0074639682848045424,
      0.007271777742121214,
      0.007082708831791746,
      0.00689671086674254,
      0.006713734044923676,
      0.006533729253940163,
      0.006356648221731564,
      0.006182443416280784,
      0.006011068253499667,
      0.005842476634151147,
      0.005676623456398605,
      0.00551346412672285,
      0.005352954927010009,
      0.00519505279102608,
      0.005039715377383391,
      0.004886901049472369,
      0.004736568813943858,
      0.00458867833144014,
      0.004443189885533717,
      0.004300064583196876,
      0.004159264061818977,
      0.004020750421724677,
      0.0038844865925171885,
      0.003750436123894244,
      0.003618562972538976,
      0.0034888317489506285,
      0.0033612076418525066,
      0.003235656517085125,
      0.0031121446753090845,
      0.002990638999734101,
      0.002871106902412533,
      0.0027535163363233035,
      0.002637835726789139,
      0.00252403405732853,
      0.0024120808753268787,
      0.0023019460768366577,
      0.0021936001703271608,
      0.0020870139507897082,
      0.0019821589704567483,
      0.001879007102601309,
      0.0017775306092994191,
      0.0016777023059812556,
      0.001579495512093781,
      0.0014828838635841332,
      0.0013878413874768214,
      0.0012943426671864179,
      0.0012023625518799174,
      0.001111876362969288,
      0.001022859924610763,
      0.0009352893859528274,
      0.0008491412229949219,
      0.0007643923242703631,
      0.0006810199320533184,
      0.0005990016102023849,
      0.0005183155059903956,
      0.00043894003515826586,
      0.0003608537590840835,
      0.00028403576513304994,
      0.00020846551437136822,
      0.00013412274196534634,
      6.098749846816726e-05,
      -1.0959864926019682e-05,
      -8.17386779945669e-05,
      -0.0001513678748446289,
      -0.00021986615097685714,
      -0.0002872518838026214,
      -0.00035354309037405383,
      -0.00041875758092113863,
      -0.0004829128060726807,
      -0.000546025995244599,
      -0.000608114097347991,
      -0.0006691937706161771,
      -0.0007292813463546388,
      -0.0007883929123208799,
      -0.0008465443567183121,
      -0.0009037513095361676,
      -0.0009600290640916432,
      -0.001015392681627518,
      -0.0010698570885411156,
      -0.001123436906138471,
      -0.0011761464887538654,
      -0.0012279999228970526,
      -0.0012790111144982315,
      -0.001329193817901262,
      -0.001378561416427307,
      -0.0014271271403449616,
      -0.0014749041441634093,
      -0.0015219051128828312,
      -0.0015681426110167205,
      -0.0016136291382460436,
      -0.001658376739384411,
      -0.0017023975162055267,
      -0.001745703235914842,
      -0.0017883055301645525,
      -0.0018302159215629209,
      -0.0018714456462261453,
      -0.0019120056914862416,
      -0.0019519068900403843,
      -0.0019911599562540605,
      -0.0020297755277897487,
      -0.0020677639723272793,
      -0.002105135402862201,
      -0.0021418998062829675,
      -0.002178067108089175,
      -0.0022136468869990034,
      -0.0022486487051732,
      -0.0022830819292941136,
      -0.0023169559202514665,
      -0.0023502797579974784,
      -0.002383062366395836,
      -0.002415312452785373,
      -0.0024470388093979314,
      -0.0024782498006523054,
      -0.002508953879641894,
      -0.00253915928402206,
      -0.0025688740874503092,
      -0.00259810617411145,
      -0.0026268634605189417,
      -0.0026551537483936473,
      -0.0026829845008855004,
      -0.0027103632345166027,
      -0.0027372972178145933,
      -0.0027637937607479152
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33457564645345,
      10.093028163824409,
      9.844947318021315,
      9.593187818085138,
      9.340283337490343,
      9.088416209461062,
      8.839399555754097,
      8.5946734986025,
      8.355298640727026,
      8.121974847278366,
      7.895078045109584,
      7.674707317104506,
      7.460737715177976,
      7.25287434008288,
      7.050704055169382,
      6.8537423172456515,
      6.661473784171571,
      6.473386334982613,
      6.288997359484434,
      6.1078736683619494,
      5.929642409596062,
      5.753988997466762,
      5.580665451432279,
      5.409507763146277,
      5.240430312702782,
      5.07341157121656,
      4.908506448641873,
      4.7458720516044295,
      4.58577178201362,
      4.428513822596624,
      4.274432374496838,
      4.123890803162112,
      3.977276796224414,
      3.834972098733123,
      3.697335446425352,
      3.564690251613421,
      3.437314780755739,
      3.315434947404329,
      3.1992201402927023,
      3.0887799315580704,
      2.984151240722479,
      2.885299620360191,
      2.7921115553582685,
      2.7043894283625574,
      2.6218866931792473,
      2.5443518450286433,
      2.4715234607083403,
      2.403136278682716,
      2.3389229175328956,
      2.2785984342162537,
      2.2218318817686127,
      2.168244415734963,
      2.117494789120712,
      2.069253556143769,
      2.0232143995660503,
      1.9791123912126622,
      1.9367362846068388,
      1.8959083088209083,
      1.8564816779726794,
      1.8183375078343111,
      1.7813710954426432,
      1.7454938764026358,
      1.7106338647908705,
      1.67673096253601,
      1.643733772778425,
      1.6115973829265968,
      1.5802818163439254,
      1.5497509442571715,
      1.5199720042736207,
      1.490917656690625,
      1.4625657976820607,
      1.4348956009359712,
      1.4078851221848399,
      1.3815108225887467,
      1.3557504329620396,
      1.330582914292938,
      1.3059882401041938,
      1.2819473304401727,
      1.2584419935021658,
      1.2354548736802962,
      1.2129694034193776,
      1.190969758353598,
      1.1694408159228218,
      1.1483681621026547,
      1.1277389695147988,
      1.1075413977001616,
      1.0877641322282325,
      1.0683961722671615,
      1.049426794747966,
      1.0308457082655693,
      1.0126427080030878,
      0.9948077482543833,
      0.9773310192326442,
      0.9602029900926422,
      0.9434144305729685,
      0.926956418943842,
      0.9108203420271545,
      0.8949978890098382,
      0.8794810434424968,
      0.8642620728647811,
      0.849333517463425,
      0.8346881791552399,
      0.8203191107457867,
      0.8062196046511687,
      0.7923831824898186,
      0.7788035845781505,
      0.7654747605434395,
      0.7523908598674445,
      0.7395462234068457,
      0.7269353748175595,
      0.7145530125081042,
      0.7023940024100263,
      0.6904533707041778,
      0.678726297137811,
      0.6672081081104299,
      0.6558942716041947,
      0.6447803905620492,
      0.6338621971085837,
      0.6231355481511944,
      0.6125964197935552,
      0.602240851359156,
      0.5920649688344329,
      0.5820650346123429,
      0.5722374324749765,
      0.5625786563169977,
      0.5530853022872634,
      0.5437540619765683,
      0.5345817177908915,
      0.5255652903241549,
      0.516702622457838,
      0.5079916126083381,
      0.49942987722464083,
      0.49101488034176477,
      0.48274401433105185,
      0.4746146502226723,
      0.46662416870506696,
      0.4587699793049559,
      0.45104953154990024,
      0.44346032181086253,
      0.43599989645514003,
      0.4286658534265678,
      0.42145584286322907,
      0.4143676379300504,
      0.4073993417154683,
      0.40054906362362935,
      0.39381483357263225,
      0.3871946482482632,
      0.38068649962582024,
      0.3742883927980269,
      0.3679983568228089,
      0.36181445090412634,
      0.35573476792501596,
      0.34975749204867196,
      0.34388096546964725,
      0.3381035222678364,
      0.3324234768110008,
      0.3268391440510644,
      0.3213488516900885,
      0.31595094805898877,
      0.3106438064323476,
      0.30542584284407,
      0.3002955275845497,
      0.2952513488301803,
      0.2902918116896868,
      0.28541544250263584,
      0.280620791445182,
      0.2759064337004717,
      0.2712709701833919,
      0.26671300633599443,
      0.2622309861003519,
      0.2578233423111236,
      0.25348863178446635,
      0.24922549860180646,
      0.24503265099726343,
      0.24090884603994567,
      0.23685287989529252,
      0.23286358121472486,
      0.2289399851855987,
      0.2250814530678203,
      0.22128724092918123,
      0.21755648176868547,
      0.21388823663855014,
      0.21028152729772343,
      0.20673535741657245,
      0.20324872563336746,
      0.19982063383442414,
      0.19645007998446046,
      0.1931359883335901,
      0.18987728718813784,
      0.18667296337482192,
      0.18352204729122717,
      0.18042360290795745,
      0.17737672142216224,
      0.1743805169097804,
      0.17143412368332428,
      0.16853669412362662,
      0.16568739750075737,
      0.16288541891534794,
      0.1601299585868804,
      0.1574202314543935,
      0.15475546659386383,
      0.15213490667959476,
      0.14955780770456342,
      0.14702343904838555,
      0.14453108283225716,
      0.1420800335825305,
      0.13966959822838765,
      0.1372990957212354,
      0.13496785684806728,
      0.13267522405401772,
      0.13042055110168874,
      0.12820320284752004,
      0.12602255509532878,
      0.12387799450269867,
      0.12176891828517453,
      0.11969473381306338,
      0.1176548587997841,
      0.11564872084192951,
      0.11367575744888805,
      0.1117354156206256,
      0.10982715185022922,
      0.10795043183279508,
      0.10610473038264442,
      0.1042895311891162,
      0.10250432674852619,
      0.10074861818502492,
      0.09902191505604759,
      0.09732373519216835,
      0.09565360476228875,
      0.0940110577755024,
      0.09239563611230363,
      0.09080688945539353,
      0.08924437507569924,
      0.08770765765728898,
      0.08619630924695185,
      0.08470990904442645,
      0.08324804334547592,
      0.08181030546821477,
      0.08039629552940732,
      0.07900562024180284,
      0.0776378930591216,
      0.07629273383303511,
      0.07496976887181979,
      0.07366863060812548,
      0.07238895775711912,
      0.07113039506723863,
      0.06989259312835307,
      0.06867520840423035,
      0.06747790306398395,
      0.06630034495515415,
      0.06514220764859675,
      0.0640031699093495,
      0.06288291580700557,
      0.061781134791523154,
      0.060697521562947464,
      0.05963177580489223,
      0.058583602289473326,
      0.0575527106321831,
      0.05653881516984669,
      0.0555416352185278,
      0.05456089463468964,
      0.0535963219498293,
      0.0526476500804378,
      0.05171461635992914,
      0.05079696254889225,
      0.04989443479187098,
      0.049006783368465624,
      0.048133762717314565,
      0.04727513125967975,
      0.04643065150526093,
      0.04560008977253104,
      0.04478321642650251,
      0.04397980557476448,
      0.043189635051618255,
      0.04241248646395302,
      0.041648144968504705,
      0.0408963991739073,
      0.040157041307329104,
      0.03942986707670777,
      0.03871467543194246,
      0.03801126873918949,
      0.03731945251013998,
      0.036639035766889094,
      0.035969830513804577,
      0.03531165184435849,
      0.03466431784316634,
      0.03402764966525895,
      0.033401471455396264,
      0.032785610266142434,
      0.032179895948810724,
      0.03158416125898812,
      0.03099824162971429,
      0.03042197514569155,
      0.029855202731529196,
      0.029297767899162594,
      0.02874951670884421,
      0.028210297835363517,
      0.02767996241549896,
      0.027158363962387425,
      0.02664535849244954,
      0.02614080431202549,
      0.02564456219499509,
      0.02515648038300607,
      0.024676394896575287,
      0.024204153258389205,
      0.02373961323830987,
      0.023282640172325352,
      0.022833104794946605,
      0.022390882084483442,
      0.021955850505064545,
      0.021527891416369106,
      0.021106888721960974,
      0.0206927285835891,
      0.02028529925494889,
      0.01988449108967694,
      0.01949019628975674,
      0.019102308782309674,
      0.018720724370376737,
      0.01834534051520042,
      0.0179760565201612,
      0.01761277302132123,
      0.017255392558811724,
      0.016903819258455757,
      0.016557958697825673,
      0.016217717962294022,
      0.01588300572612522,
      0.015553732193528626,
      0.015229808924712367,
      0.014911148979073573,
      0.014597666860544641,
      0.014289278417732507,
      0.013985900882959899,
      0.013687452783113752,
      0.013393854020975727,
      0.013105025643727687,
      0.012820890233146824,
      0.012541371480909863,
      0.012266394449505974,
      0.011995885322473197,
      0.01172977149678322,
      0.011467981469743713,
      0.01121044511838053,
      0.010957093220667137,
      0.010707857813945891,
      0.010462671998130061,
      0.01022147002958994,
      0.009984187094989407,
      0.009750759527768216,
      0.00952112466648453,
      0.009295220907905372,
      0.00907298764355975,
      0.008854365237912826,
      0.008639294992007792,
      0.008427719135506877,
      0.008219580975263858,
      0.00801482459682894,
      0.00781339508354057,
      0.00761523840326164,
      0.007420301272385339,
      0.007228531423863831,
      0.007039877351341297,
      0.006854288431248915,
      0.0066717148960053416,
      0.006492107791453541,
      0.0063154188290392484,
      0.0061416006546058,
      0.005970606636767687,
      0.005802390944954278,
      0.005636908471512692,
      0.005474114610351038,
      0.005313965716682974,
      0.005156418898366253,
      0.005001431796634321,
      0.004848962877840492,
      0.0046989712196063025,
      0.00455141652833204,
      0.004406259165331313,
      0.0042634602012880775,
      0.004122981467173652,
      0.003984785149656655,
      0.003848834132753103,
      0.0037150920109454786,
      0.003583522889260083,
      0.003454091503034408,
      0.0033267630667060673,
      0.003201503379073074,
      0.00307827884174528,
      0.002957056333624869,
      0.0028378033796984817,
      0.0027204879091825025,
      0.002605078428677266,
      0.002491544082973051,
      0.0023798544318774408,
      0.0022699795474130815,
      0.0021618899151503107,
      0.002055556534675396,
      0.0019509507167043236,
      0.0018480444921430944,
      0.0017468102350897898,
      0.0016472207450906075,
      0.001549249337635103,
      0.0014528696313236946,
      0.0013580558514331566,
      0.0012647826268081428,
      0.0011730248458898997,
      0.0010827579268683344,
      0.0009939576576598506,
      0.000906600183803347,
      0.0008206620290556291,
      0.0007361201176771328,
      0.0006529517220891977,
      0.0005711346472849313,
      0.0004906468891188334,
      0.0004114668278148803,
      0.00033357328313571473,
      0.00025694531024628067,
      0.00018156237191054231,
      0.00010740416907124758,
      3.4450866256514434e-05,
      -3.7317107201803446e-05,
      -0.00010791900017917427,
      -0.00017737382201951185,
      -0.000245700206874503,
      -0.00031291646793143047,
      -0.0003790406376072231,
      -0.00044409046197347793,
      -0.0005080833939973653,
      -0.0005710365921375609,
      -0.0006329669685989736,
      -0.0006938912049587687,
      -0.0007538255183973256,
      -0.0008127860565526822,
      -0.00087078860443304,
      -0.0009278487927279105,
      -0.0009839819492316402,
      -0.0010392030190516932,
      -0.0010935268016201854,
      -0.0011469679512760922,
      -0.0011995408758751708,
      -0.001251259678945604,
      -0.0013021381639548636,
      -0.001352189990494181,
      -0.0014014286196135375,
      -0.0014498671886827132,
      -0.0014975187409680798,
      -0.0015443960351214296,
      -0.0015905116273086319,
      -0.0016358779455759734,
      -0.001680507224334539,
      -0.001724411425250303,
      -0.0017676023159781083,
      -0.001810091490722237,
      -0.0018518902950816658,
      -0.001893010004195019,
      -0.0019334616124756436,
      -0.0019732559530954083,
      -0.002012403721474229,
      -0.0020509153773469813,
      -0.002088801357536639,
      -0.0021260717861069246,
      -0.002162736577870097,
      -0.0021988056044268105,
      -0.002234288612099739,
      -0.0022691951265809184,
      -0.0023035344584466213,
      -0.002337315879869755,
      -0.0023705484826847794,
      -0.0024032411697043955,
      -0.0024354026705819595,
      -0.0024670416714101234,
      -0.0024981666326004,
      -0.002528785841101964,
      -0.002558907576781871,
      -0.0025885398965214755,
      -0.002617690786874,
      -0.0026463681062735473,
      -0.002674579501603229,
      -0.0027023325015486134,
      -0.002729634648118784,
      -0.0027564932018124943,
      -0.002782915329076123
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334571368838661,
      10.093014013774557,
      9.84491755996019,
      9.593137591210288,
      9.340209234375207,
      9.088315938426382,
      8.83927177079437,
      8.594517636070247,
      8.355114577368003,
      8.121762740176955,
      7.894838204161798,
      7.674440113241086,
      7.460443519520702,
      7.2525534921338535,
      7.050356854542349,
      6.853369033002642,
      6.661074671189626,
      6.472961660542452,
      6.288547470049533,
      6.107399051917599,
      5.929143772489887,
      5.753467335840978,
      5.5801220592002,
      5.408944162954593,
      5.239848173153381,
      5.072812716666581,
      4.907892991989736,
      4.745246858692662,
      4.585138407483952,
      4.427875840844301,
      4.273793364267678,
      4.123254445319904,
      3.9766468466375557,
      3.8343520397731323,
      3.6967284841315746,
      3.5640992870361115,
      3.43674238927043,
      3.3148833649641882,
      3.1986911880044473,
      3.0882749318173026,
      2.983670955966306,
      2.884844289157963,
      2.7916807806660624,
      2.7039821585945325,
      2.62150146309924,
      2.543987037314049,
      2.4711772906008957,
      2.4028068860478724,
      2.338608463857,
      2.278297069170216,
      2.221541248284832,
      2.1679622269064276,
      2.1172189931727985,
      2.0689821979602696,
      2.022945786290783,
      1.9788452370897733,
      1.9364696347410213,
      1.8956414535332133,
      1.8562141139280386,
      1.8180688187091303,
      1.781100795115675,
      1.7452215994796576,
      1.7103593755182724,
      1.6764541152053063,
      1.643454483204143,
      1.6113156098372114,
      1.5799975481957773,
      1.5494641898153807,
      1.5196828694210447,
      1.490626503632601,
      1.4622730795266514,
      1.434601627561809,
      1.4075901184653214,
      1.3812149770019047,
      1.3554538837751087,
      1.3302857610891785,
      1.3056905563732868,
      1.2816491731586925,
      1.2581434090418129,
      1.2351559018233376,
      1.2126700800917434,
      1.190670116313409,
      1.1691408857428447,
      1.1480679833646892,
      1.1274385953516217,
      1.1072408774200688,
      1.0874635168290514,
      1.0680955194820287,
      1.0491262703643094,
      1.0305454642960035,
      1.0123428486224366,
      0.9945083467630023,
      0.9770321287993344,
      0.9599046512934933,
      0.9431166757889179,
      0.9266592752528563,
      0.9105238330017492,
      0.8947020361871721,
      0.8791858668600011,
      0.8639675913740351,
      0.8490397495356744,
      0.8343951429086808,
      0.820026823806152,
      0.8059280846586979,
      0.7920924464989855,
      0.7785136497918068,
      0.7651856437878214,
      0.7521025777666767,
      0.7392587923413539,
      0.7266488111755308,
      0.7142673324930321,
      0.7021092219129191,
      0.6901695054191267,
      0.6784433623860319,
      0.6669261191114582,
      0.6556132432029776,
      0.6445003373258489,
      0.6335831335673302,
      0.6228574884685515,
      0.6123193773771851,
      0.6019648389178286,
      0.5917899989841076,
      0.581791120067177,
      0.5719645857214095,
      0.5623068896361985,
      0.5528146274636936,
      0.5434844909136257,
      0.5343132617714955,
      0.5252980040986994,
      0.5164366189368267,
      0.5077269639159642,
      0.4991666301597623,
      0.4907530655285524,
      0.48248365207848287,
      0.47435575397748736,
      0.46636674766117564,
      0.45851403977142424,
      0.45079507815057634,
      0.4432073577821006,
      0.4357484240858079,
      0.4284158745658097,
      0.42120735863257436,
      0.41412066150015725,
      0.4071539026394287,
      0.4003051794884944,
      0.3935725146137876,
      0.3869538999701678,
      0.3804473244607677,
      0.3740507911644732,
      0.3677623277651309,
      0.3615799924694501,
      0.3555018775070971,
      0.3495261766738353,
      0.3436512319754193,
      0.33787537305345,
      0.33219691141784613,
      0.32661416022043854,
      0.3211254460426381,
      0.3157291163602302,
      0.31042354383910953,
      0.30520714621948697,
      0.30007839354221266,
      0.2950357728949664,
      0.29007778850769533,
      0.2852029662614975,
      0.2804098558958095,
      0.27569703250635164,
      0.2710630966940987,
      0.26650665525312284,
      0.262026153951981,
      0.25762002434202974,
      0.25328682239018535,
      0.2490251917318085,
      0.24483384010941853,
      0.24071152424239034,
      0.23665704005980134,
      0.23266921625326123,
      0.2287470799293324,
      0.224889991787978,
      0.2210972107040823,
      0.21736787152427026,
      0.2137010363601793,
      0.21009572774053936,
      0.2065509496651273,
      0.2030657008523355,
      0.1996389834890863,
      0.19626979325090133,
      0.1929570512770843,
      0.18969968794928502,
      0.18649669148316614,
      0.18334709307323147,
      0.18024995713883127,
      0.17720437515654056,
      0.17420946145285138,
      0.17126435040304339,
      0.16836819450403467,
      0.16552016297919359,
      0.16271944096650184,
      0.15996522876176864,
      0.15725674112673493,
      0.15459320712491179,
      0.1519738694422147,
      0.1493979841450732,
      0.14686482050022878,
      0.14437366046222785,
      0.14192379866026042,
      0.13951454200765503,
      0.1371452095053984,
      0.13481513190897593,
      0.13252365153737944,
      0.13027012214195172,
      0.12805390857373591,
      0.12587438669414044,
      0.123730943115605,
      0.12162297514729858,
      0.11954989022635687,
      0.11751110590904768,
      0.11550604979803056,
      0.11353415934272607,
      0.11159488159441515,
      0.10968767305624814,
      0.10781199948743819,
      0.10596733566761618,
      0.10415316528605971,
      0.10236898092419833,
      0.10061428368575541,
      0.09888858314191136,
      0.09719139727901238,
      0.09552225216358327,
      0.09388068181890857,
      0.09226622816684969,
      0.09067844085712486,
      0.08911687719925225,
      0.08758110201292602,
      0.08607068732977638,
      0.08458521239674895,
      0.08312426352670182,
      0.08168743402481159,
      0.08027432399976923,
      0.07888454039624437,
      0.07751769660617622,
      0.07617341246275845,
      0.07485131431462898,
      0.07355103477355096,
      0.07227221247190295,
      0.07101449203288893,
      0.06977752412918756,
      0.06856096540123952,
      0.06736447807615079,
      0.06618773003324678,
      0.06503039477886968,
      0.06389215112060181,
      0.06277268330631569,
      0.06167168095115551,
      0.060588838720199704,
      0.059523856223928334,
      0.05847643828509627,
      0.05744629463951915,
      0.0564331397285401,
      0.05543669280180835,
      0.054456677713149895,
      0.05349282300422859,
      0.05254486172922535,
      0.05161253132489149,
      0.05069557366252326,
      0.04979373482405115,
      0.04890676513252642,
      0.04803441902036381,
      0.047176455094807786,
      0.04633263584974796,
      0.04550272776481124,
      0.04468650111715407,
      0.04388373010671988,
      0.043094192630745154,
      0.0423176702789466,
      0.041553948263390005,
      0.04080281540035322,
      0.040064063857724756,
      0.03933748937650138,
      0.0386228910192738,
      0.03792007108728624,
      0.03722883527892666,
      0.03654899253062414,
      0.03588035490154,
      0.03522273759172138,
      0.03457595876176852,
      0.033939839695259905,
      0.03331420452758419,
      0.03269888033563691,
      0.03209369703532419,
      0.03149848734098833,
      0.030913086913766277,
      0.030337333897637587,
      0.029771069171575307,
      0.029214136338560473,
      0.028666381495917714,
      0.028127653320992572,
      0.02759780304576766,
      0.027076684174147166,
      0.02656415273624632,
      0.026060067183258626,
      0.025564288317463664,
      0.025076679237290428,
      0.02459710526626857,
      0.024125433871385965,
      0.023661534736056727,
      0.023205276961477027,
      0.022756512339767228,
      0.02231509231748082,
      0.02188088012270529,
      0.0214537472456807,
      0.021033571188093517,
      0.02062023397576334,
      0.02021362127655387,
      0.019813621819488734,
      0.01942012662146447,
      0.019033029082266055,
      0.018652224668770822,
      0.018277610658066004,
      0.01790908616108309,
      0.01754655203275431,
      0.017189910782505164,
      0.016839066491012297,
      0.01649392488624692,
      0.01615439314534703,
      0.01582038017356103,
      0.01549179622165028,
      0.015168552915686615,
      0.014850563438533911,
      0.0145377424695006,
      0.014230006028045252,
      0.01392727136045637,
      0.013629457219907912,
      0.013336483681365304,
      0.013048272000149993,
      0.012764744703486102,
      0.01248582566872372,
      0.012211439932761059,
      0.01194151382413657,
      0.011675974890570975,
      0.011414751869069359,
      0.011157774648269557,
      0.010904974152336122,
      0.010656282394403378,
      0.01041163266792836,
      0.010170959234107229,
      0.009934197452081756,
      0.009701283786034857,
      0.00947215559422116,
      0.00924675140458455,
      0.009025010699263925,
      0.008806873963209725,
      0.008592282648060402,
      0.008381179005825629,
      0.008173506339561994,
      0.007969208965152012,
      0.007768231999411896,
      0.007570521443578865,
      0.007376024257538169,
      0.007184688215522917,
      0.006996461936427439,
      0.006811294828398819,
      0.006629137183132511,
      0.006449940088611973,
      0.0062736554790458615,
      0.006100235997090618,
      0.005929635049892902,
      0.005761806880406056,
      0.005596706355348753,
      0.005434289094582472,
      0.005274511494035059,
      0.005117330687808851,
      0.0049627044817835446,
      0.004810591327705055,
      0.004660950414924043,
      0.004513741579907958,
      0.004368925314057774,
      0.004226462653217781,
      0.004086315399869323,
      0.003948445954263135,
      0.0038128172367708,
      0.003679392822257124,
      0.003548136886179028,
      0.0034190141337423967,
      0.0032919899605492577,
      0.0031670303167341835,
      0.003044101630440463,
      0.0029231707905333706,
      0.00280420536027715,
      0.002687173468996926,
      0.002572043591512535,
      0.0024587848379657366,
      0.002347366876943081,
      0.0022377597592521067,
      0.0021299340993664482,
      0.002023860807256798,
      0.0019195114195827588,
      0.0018168579753326105,
      0.0017158729058443332,
      0.0016165290856778995,
      0.0015187998533835252,
      0.0014226589831989335,
      0.0013280806965326232,
      0.0012350395163227906,
      0.0011435104149604407,
      0.0010534689196919755,
      0.0009648908257208269,
      0.000877752304693553,
      0.0007920300084176281,
      0.0007077008180385527,
      0.0006247422114106448,
      0.0005431319137469591,
      0.0004628480266471678,
      0.000383868961108253,
      0.0003061735244206382,
      0.00022974081798885095,
      0.00015455041615485994,
      8.058203134432267e-05,
      7.815809964116142e-06,
      -6.376779022734592e-05,
      -0.00013418791766123722,
      -0.00020346358037618095,
      -0.0002716133453547796,
      -0.0003386554303019733,
      -0.00040460791540440145,
      -0.0004694884769933027,
      -0.0005333146159198038,
      -0.0005961035227661295,
      -0.0006578719610062539,
      -0.0007186364979667622,
      -0.0007784134872912961,
      -0.0008372189041449507,
      -0.0008950684969784262,
      -0.0009519779257615031,
      -0.0010079624099025562,
      -0.0010630369598105382,
      -0.0011172163719474566,
      -0.0011705152937281837,
      -0.0012229479371355088,
      -0.001274528471930878,
      -0.001325270782140531,
      -0.0013751884380773158,
      -0.0014242948320788468,
      -0.0014726030657499672,
      -0.00152012619862869,
      -0.0015668769749685638,
      -0.001612867969461874,
      -0.0016581114517851513,
      -0.0017026195621385035,
      -0.0017464043398821543,
      -0.0017894775036243122,
      -0.001831850643352621,
      -0.0018735350944957846,
      -0.0019145420266676225,
      -0.0019548825067364443,
      -0.0019945673387031433,
      -0.002033607207906235,
      -0.0020720126020041143,
      -0.0021097938014877477,
      -0.002146960977132486,
      -0.0021835241090645383,
      -0.002219493064145467,
      -0.002254877437562174,
      -0.0022896867047863495,
      -0.0023239302335848052,
      -0.0023576172507486976,
      -0.002390756763810374,
      -0.0024233576472196877,
      -0.0024554286518724193,
      -0.002486978394768314,
      -0.00251801541206505,
      -0.002548548090891213,
      -0.002578584485731971,
      -0.002608132655579088,
      -0.0026372006192023237,
      -0.002665796214849827,
      -0.0026939270802216995,
      -0.002721600663233411,
      -0.002748824403974292,
      -0.002775605700342152,
      -0.002801951765366911
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334567110547765,
      10.092999925103813,
      9.84488792080239,
      9.593087552793014,
      9.340135396510025,
      9.088216016109943,
      8.839144422728307,
      8.594362301835858,
      8.354931135663529,
      8.121551350247492,
      7.894599177445853,
      7.674173820937996,
      7.460150331676213,
      7.252233747019042,
      7.050010850582853,
      6.852997042058746,
      6.6606769505096715,
      6.472538478381574,
      6.28809917115289,
      6.106926122864195,
      5.928646920484555,
      5.752947559032675,
      5.5795806535190335,
      5.408382651005108,
      5.239268221231299,
      5.072216147249705,
      4.907281916023079,
      4.744624234482322,
      4.58450776943347,
      4.427240743689741,
      4.273157366684573,
      4.122621206998374,
      3.97602008978905,
      3.8337352178510407,
      3.6961247880728796,
      3.563511603303631,
      3.4361732682452124,
      3.3143350196432575,
      3.198165430055765,
      3.0877730739505838,
      2.9831937426762916,
      2.88439194666983,
      2.791252911025846,
      2.7035776761724617,
      2.6211188779545513,
      2.543624746731275,
      2.4708335257228216,
      2.402479800744256,
      2.3382962306869306,
      2.2779978472505116,
      2.221252688010937,
      2.167682048303219,
      2.1169451528983863,
      2.0687127472594926,
      2.0226790395762753,
      1.9785799142552123,
      1.9362047856400957,
      1.8953763721844734,
      1.8559483004866464,
      1.8178018605228428,
      1.780832207966826,
      1.7449510193429343,
      1.7100865680472395,
      1.676178935363576,
      1.6431768483612916,
      1.6110354802349793,
      1.5797149128890169,
      1.5491790579573366,
      1.5193953477771602,
      1.4903369556769424,
      1.4619819588466354,
      1.4343092446873487,
      1.407296698782584,
      1.3809207098159597,
      1.3551589070653678,
      1.329990173946591,
      1.3053944331620406,
      1.2813525712610625,
      1.2578463756775304,
      1.2348584770437097,
      1.2123722990509564,
      1.1903720122914305,
      1.1688424903612062,
      1.147769337219009,
      1.1271397519914386,
      1.1069418864792695,
      1.0871644292317502,
      1.0677964415670047,
      1.0488273890551958,
      1.030246905161148,
      1.0120446986385443,
      0.994210667785677,
      0.9767349669591396,
      0.9596080422282615,
      0.9428206489267695,
      0.9263638559815981,
      0.9102290437985203,
      0.8944078977777594,
      0.8788923989522307,
      0.8636748128153297,
      0.848747678962958,
      0.8341037989258729,
      0.8197362245882985,
      0.805638247898258,
      0.7918033897700627,
      0.7782253904944016,
      0.7648981992824042,
      0.7518159649881675,
      0.7389730280614977,
      0.7263639116426307,
      0.7139833140767263,
      0.7018261007461079,
      0.6898872973595246,
      0.6781620828390619,
      0.6666457835291576,
      0.6553338667327528,
      0.6442219345259736,
      0.6333057188490666,
      0.6225810759178416,
      0.6120439805924549,
      0.6016904706076536,
      0.5915166720563507,
      0.5815188473102249,
      0.5716933795535832,
      0.5620367622028674,
      0.5525455908022314,
      0.5432165565002413,
      0.5340464409244201,
      0.5250323526758892,
      0.5161722490789086,
      0.5074639477176579,
      0.49890501426465494,
      0.49049288037991345,
      0.48222491777733467,
      0.47409848403896787,
      0.4661109513947048,
      0.45825972362244494,
      0.4505422466199283,
      0.44295601412966384,
      0.4354985708460956,
      0.42816751334314945,
      0.42096049065165236,
      0.41387530730592836,
      0.4069100886886144,
      0.4000629216789613,
      0.3933318219481308,
      0.3867147771973662,
      0.38020977362929553,
      0.37381481237341435,
      0.3675279197260936,
      0.36134715318696914,
      0.35527060445634906,
      0.34929647656443796,
      0.3434231115013317,
      0.337648834540291,
      0.331971954466149,
      0.3263907825346282,
      0.32090364416048256,
      0.31550888604453775,
      0.3102048802984863,
      0.304990046143266,
      0.2998628534105553,
      0.29482178804988557,
      0.28986535373087374,
      0.28499207592720294,
      0.2802005040062463,
      0.2754892124684346,
      0.2708568020211372,
      0.2663018807594889,
      0.26182289667349246,
      0.2574182797662118,
      0.25308658513247556,
      0.2488264557739602,
      0.24463659894475678,
      0.2405157711446701,
      0.23646276815888945,
      0.2324764182525693,
      0.22855574049298583,
      0.22470009498403548,
      0.22090874370158323,
      0.21718082325222918,
      0.213515396922488,
      0.2099114878341006,
      0.20636810045746412,
      0.20288423371931155,
      0.19945888982900167,
      0.1960910622252351,
      0.19277966896303964,
      0.18952364242387637,
      0.18632197221299376,
      0.18317369033463232,
      0.18007786174578144,
      0.17703357825319777,
      0.17403995432587058,
      0.17109612439523744,
      0.16820124104874057,
      0.16535447358281635,
      0.16255500714684376,
      0.15980204197264591,
      0.15709479277090457,
      0.1544324884769787,
      0.1518143718188636,
      0.1492396989411773,
      0.14670773905289589,
      0.14421777406677613,
      0.14176909861764367,
      0.1393610196459104,
      0.13699285609896336,
      0.13466393865444964,
      0.13237360961775105,
      0.13012122282858327,
      0.12790614309925058,
      0.12572774634117198,
      0.12358541907639234,
      0.12147855835051194,
      0.11940657174822832,
      0.11736887698371026,
      0.11536490162479188,
      0.11339408310265119,
      0.11145586859405215,
      0.10954971457884762,
      0.10767508661824346,
      0.1058314595954782,
      0.10401831728063506,
      0.1022351522813198,
      0.10048146573027901,
      0.09875676721747564,
      0.09706057457890373,
      0.09539241391674208,
      0.09375181938710403,
      0.09213833293857188,
      0.09055150421755999,
      0.08899089055112837,
      0.08745605687371522,
      0.08594657516183024,
      0.08446202465981308,
      0.08300199171437775,
      0.08156606973924191,
      0.0801538589629678,
      0.07876496616897495,
      0.0773990047962056,
      0.0760555948661958,
      0.07473436266681999,
      0.0734349408334646,
      0.07215696804935318,
      0.07090008901592453,
      0.06966395446357425,
      0.06844822102607147,
      0.06725255101508829,
      0.06607661232028965,
      0.06492007850221557,
      0.06378262849497833,
      0.06266394654234711,
      0.06156372213726484,
      0.060481649961656135,
      0.05941742990588294,
      0.05837076676410919,
      0.05734137017357375,
      0.05632895473426249,
      0.055333239778012674,
      0.054353949346224784,
      0.05339081190529281,
      0.052443560488892135,
      0.05151193264099751,
      0.050595670315576144,
      0.04969451962123499,
      0.04880823090267502,
      0.047936558602632115,
      0.04707926143534591,
      0.046236101844459934,
      0.045406846473891586,
      0.04459126566535418,
      0.043789133649362606,
      0.043000228316226845,
      0.04222433128130697,
      0.04146122783735953,
      0.04071070686493659,
      0.03997256069137381,
      0.039246584998013305,
      0.038532578934382035,
      0.03783034496851837,
      0.03713968884275564,
      0.03646041943668878,
      0.03579234884301324,
      0.03513529227711622,
      0.0344890680625039,
      0.03385349739294604,
      0.033228404576177206,
      0.03261361676175195,
      0.032008963921607896,
      0.03141427880942245,
      0.03082939705846156,
      0.03025415689566167,
      0.029688399292037683,
      0.02913196785671257,
      0.028584708753803378,
      0.02804647059087638,
      0.027517104730632642,
      0.026996464862244718,
      0.02648440700835414,
      0.02598078955962889,
      0.025485473465727937,
      0.02499832181174152,
      0.024519199899761295,
      0.024047975326241314,
      0.023584517813513468,
      0.023128699361795547,
      0.022680394046977696,
      0.022239477953949073,
      0.021805829264145014,
      0.021379328140852156,
      0.02095985397171014,
      0.020547270157176615,
      0.02014144026069388,
      0.019742238623329803,
      0.019349547180023522,
      0.01896325331826871,
      0.018583248540243284,
      0.018209427726276064,
      0.017841688538493487,
      0.017479930733605573,
      0.017124056374652072,
      0.01677396919257912,
      0.01642957462249429,
      0.016090780011878438,
      0.015757494111121855,
      0.015429627148638145,
      0.015107091012999556,
      0.014789798958362504,
      0.01447766566550492,
      0.014170607237753766,
      0.013868541152101368,
      0.013571386323639259,
      0.01327906281283689,
      0.012991492015069531,
      0.012708596612641882,
      0.012430300647274099,
      0.012156529431902305,
      0.011887209251257379,
      0.011622267658396657,
      0.011361633565617046,
      0.011105236895548253,
      0.010853008764403795,
      0.010604881389831374,
      0.010360788085768211,
      0.010120663280911466,
      0.009884442477534283,
      0.009652062195767174,
      0.0094234599598624,
      0.009198574313925888,
      0.008977344822511934,
      0.008759712062493272,
      0.008545617676229744,
      0.008335004027819577,
      0.008127814441614851,
      0.007923993329617447,
      0.007723486005038648,
      0.007526238537836785,
      0.007332197861006484,
      0.00714131185499564,
      0.0069535292386041945,
      0.006768799545893414,
      0.006587073067927478,
      0.006408301033198105,
      0.006232435486039256,
      0.006059429085674032,
      0.00588923536589476,
      0.005721808622509317,
      0.00555710379838105,
      0.005395076668068578,
      0.005235683721382393,
      0.005078882158478228,
      0.004924629836351192,
      0.004772885217830946,
      0.0046236076477090505,
      0.0044767569256919226,
      0.004332293575039321,
      0.00419017885282902,
      0.00405037464260709,
      0.00391284327915997,
      0.0037775478969159647,
      0.003644452100771818,
      0.0035135201284837983,
      0.003384716862970153,
      0.0032580076627760925,
      0.003133358505873387,
      0.003010735843488297,
      0.0028901066336514273,
      0.002771438491432475,
      0.002654699682778122,
      0.002539858815289255,
      0.0024268848550849193,
      0.002315747596530167,
      0.002206417174649702,
      0.002098864176984136,
      0.0019930596870815173,
      0.0018889753363803777,
      0.001786583110112872,
      0.0016858554855213362,
      0.0015867654828605946,
      0.0014892864257196688,
      0.0013933921544553758,
      0.0012990569235564464,
      0.0012062553577451328,
      0.001114962498666106,
      0.0010251538596420058,
      0.0009368053485785101,
      0.0008498931478590632,
      0.0007643938690652779,
      0.000680284537408222,
      0.0005975425334011026,
      0.0005161457519779278,
      0.0004360723505907879,
      0.0003573007332089664,
      0.00027980980276345695,
      0.00020357869392284773,
      0.00012858685003282427,
      5.481426063089284e-05,
      -1.775892890248617e-05,
      -8.915229171850322e-05,
      -0.00015938499914453145,
      -0.00022847588954033317,
      -0.0002964435550166107,
      -0.0003633062618336328,
      -0.00042908192014852237,
      -0.0004937882371932431,
      -0.0005574426722804915,
      -0.0006200621298973812,
      -0.0006816635606893293,
      -0.0007422634551294879,
      -0.0008018781884689438,
      -0.0008605237476100164,
      -0.000918215845141944,
      -0.0009749700632297227,
      -0.0010308016289298887,
      -0.0010857255246799781,
      -0.0011397564836031753,
      -0.0011929090473421305,
      -0.0012451974513090853,
      -0.001296635763317575,
      -0.0013472378179685256,
      -0.0013970171563790356,
      -0.0014459872831517032,
      -0.001494161305472073,
      -0.0015415521249298627,
      -0.0015881724753271707,
      -0.0016340348581424839,
      -0.0016791516869431213,
      -0.001723535088098644,
      -0.0017671968785401874,
      -0.0018101487710995077,
      -0.0018524023632107342,
      -0.0018939690233675636,
      -0.0019348598595186654,
      -0.001975085813472108,
      -0.002014657748491559,
      -0.0020535864156023364,
      -0.0020918821839594234,
      -0.002129555425242668,
      -0.002166616172603685,
      -0.00220307446543709,
      -0.002238940077069443,
      -0.002274222591178161,
      -0.0023089314651703685,
      -0.0023430760607632247,
      -0.002376665534206132,
      -0.0024097089808499945,
      -0.0024422152224841433,
      -0.002474192905515992,
      -0.002505650770449995,
      -0.002536597234470697,
      -0.0025670405389758635,
      -0.0025969889601515504,
      -0.0026264505105354835,
      -0.0026554330723896416,
      -0.0026839445049738958,
      -0.0027119923762266534,
      -0.00273958426620967,
      -0.0027667276505841283,
      -0.0027934297135870584,
      -0.0028196975861399043
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33456287605598,
      10.092986066762728,
      9.844858850093834,
      9.593038404178706,
      9.340062754061567,
      9.088117577933094,
      8.839018828788353,
      8.594208975849739,
      8.35474994189613,
      8.121342433266808,
      7.89436283699405,
      7.6739104180296405,
      7.459860229431571,
      7.251917278104974,
      7.049668310577083,
      6.852628698739038,
      6.660283058414664,
      6.472119305738819,
      6.287655064664301,
      6.106457570609049,
      5.928154629032758,
      5.7524325263580405,
      5.5790441730703835,
      5.4078262429092145,
      5.238693549396289,
      5.071625030606365,
      4.906676457831034,
      4.74400746128338,
      4.583883185809942,
      4.42661187621775,
      4.272527745374851,
      4.121994461993797,
      3.9753999105142155,
      3.833125025316176,
      3.695527741254629,
      3.562930558832602,
      3.435610735938065,
      3.313793178290947,
      3.19764607161473,
      3.0872774937847316,
      2.982722658624828,
      2.883945532169081,
      2.7908307700967017,
      2.703178709719239,
      2.620741591925951,
      2.5432675511645852,
      2.470494664624658,
      2.4021574400863748,
      2.3379885545736885,
      2.2777030232760227,
      2.220968376948593,
      2.1674059844678935,
      2.1166753046402405,
      2.06844717920771,
      2.022416078374508,
      1.9783182898938547,
      1.9359435566115395,
      1.8951148400932352,
      1.8556859706780109,
      1.8175383251092778,
      1.7805669882553175,
      1.7446837564152546,
      1.7098170313776453,
      1.6759069834916758,
      1.6429024010485764,
      1.6107584997230804,
      1.5794353905833296,
      1.5488970051338,
      1.5191108732308443,
      1.4900504244460204,
      1.4616938254494762,
      1.4340198204967367,
      1.4070062104343242,
      1.3806293472916271,
      1.354866810469554,
      1.3296974436942874,
      1.3051011437221083,
      1.281058780975118,
      1.2575521322967413,
      1.2345638214247312,
      1.212077267671927,
      1.1900766388927304,
      1.1685468069153515,
      1.1474733848085088,
      1.1268435845770133,
      1.106645554378075,
      1.086867984723227,
      1.0675000074642509,
      1.0485311456313964,
      1.0299509740949333,
      1.0117491645401118,
      0.9939155916568579,
      0.9764403946142942,
      0.9593140096724193,
      0.9425271854122201,
      0.9260709867310388,
      0.9099367918915837,
      0.8941162844918347,
      0.8786014442893567,
      0.8633845363162143,
      0.8484580993361762,
      0.8338149341704529,
      0.8194480929145727,
      0.805350867262433,
      0.7915167782096744,
      0.7779395656370778,
      0.7646131784523434,
      0.7515317657063383,
      0.7386896676190838,
      0.7260814070187942,
      0.7137016816409164,
      0.7015453566604524,
      0.6896074575877246,
      0.677883163577529,
      0.6663678003058869,
      0.6550568344870256,
      0.6439458682615586,
      0.6330306331331903,
      0.622306985235882,
      0.6117708986497958,
      0.6014184103590838,
      0.5912456462842735,
      0.5812488686339471,
      0.5714244603292591,
      0.5617689146944734,
      0.5522788273197491,
      0.5429508892255159,
      0.5337818813225133,
      0.5247689951343202,
      0.51591018989898,
      0.5072032492208298,
      0.4986457173558099,
      0.4902350119201664,
      0.4819684957163244,
      0.4738435206540653,
      0.46585745505433696,
      0.4580077002509958,
      0.45029170053743145,
      0.4427069484991594,
      0.43525098785664357,
      0.4279214146136644,
      0.4207158774493355,
      0.41363220416500246,
      0.40666852052029245,
      0.3998229035831389,
      0.393093362515373,
      0.3864778807662379,
      0.37997444188833257,
      0.3735810453643577,
      0.36729571643014575,
      0.3611165117217866,
      0.3550415222280149,
      0.3490689602848655,
      0.3431971677332842,
      0.3374244657128774,
      0.3317491603396964,
      0.32616956094000443,
      0.32068399171607165,
      0.3152907985092976,
      0.3099883527918576,
      0.3047750755992257,
      0.29964943641752406,
      0.2946099202903404,
      0.2896550301524627,
      0.2847832906927653,
      0.27999325107465806,
      0.2752834856889948,
      0.2706525948563893,
      0.266099188293824,
      0.26162171620323516,
      0.25721860711954186,
      0.25288841500319825,
      0.24862978212517833,
      0.24444141548420678,
      0.24032207128877325,
      0.23627054503237027,
      0.2322856647109946,
      0.22836644119174287,
      0.22451223408889368,
      0.2207223082165591,
      0.21699580199581908,
      0.21333177982730825,
      0.20972926561876407,
      0.20618726417265124,
      0.20270477480338367,
      0.19928079989639189,
      0.19591433066777905,
      0.19260428200149107,
      0.18934958828164367,
      0.1861492403915661,
      0.18300227108461545,
      0.1799077458707548,
      0.17686475700384818,
      0.1738724190025288,
      0.17092986643977798,
      0.1680362519643012,
      0.1651907448977326,
      0.16239253026360112,
      0.15964080828912428,
      0.1569347938900751,
      0.15427371595254155,
      0.15165681715454007,
      0.14908335347461812,
      0.14655259409950977,
      0.14406382103107476,
      0.14161632877997724,
      0.13920942417726728,
      0.136842426202068,
      0.13451466555836053,
      0.13222548462953887,
      0.1299742371238172,
      0.12776028794444916,
      0.12558301286443838,
      0.12344179842513567,
      0.12133604184276044,
      0.1192651506043091,
      0.11722854234365895,
      0.11522564469840144,
      0.11325589519255423,
      0.11131874083896424,
      0.10941363817307485,
      0.10754005283383879,
      0.10569745965177015,
      0.10388534241064457,
      0.10210319372172566,
      0.1003505147045623,
      0.09862681504629428,
      0.09693161263134255,
      0.09526443353020148,
      0.09362481191364325,
      0.09201228979129561,
      0.09042641696180766,
      0.08886675072243233,
      0.08733285579853768,
      0.08582430429591482,
      0.08434067557704451,
      0.08288155609598022,
      0.08144653920725237,
      0.08003522505337107,
      0.07864722053373117,
      0.07728213914750078,
      0.07593960089882926,
      0.07461923221243036,
      0.07332066567178246,
      0.07204354002455737,
      0.07078750008305025,
      0.06955219659241613,
      0.06833728618101922,
      0.06714243114134144,
      0.06596729945419863,
      0.06481156466833864,
      0.0636749057880493,
      0.06255700713590005,
      0.06145755833725552,
      0.060376254120382215,
      0.05931279426931568,
      0.058266883719509374,
      0.0572382322083251,
      0.056226554293027045,
      0.05523156949518506,
      0.054253001757275945,
      0.05329057961264464,
      0.05234403616558742,
      0.051413108996672494,
      0.05049754001803618,
      0.04959707538295103,
      0.048711465570901294,
      0.04784046511294706,
      0.04698383260665619,
      0.04614133082235129,
      0.04531272631008462,
      0.04449778951395156,
      0.04369629457660219,
      0.04290801952677497,
      0.042132746186326536,
      0.04137025984930956,
      0.04062034934054486,
      0.039882807046165356,
      0.03915742872548868,
      0.038444013539454286,
      0.037742363958633666,
      0.037052285795020776,
      0.0363735880178056,
      0.035706082740080955,
      0.03504958531329486,
      0.034403914122320016,
      0.03376889039227966,
      0.03314433841970493,
      0.032530085433795215,
      0.03192596144377515,
      0.03133179928760748,
      0.03074743462164342,
      0.030172705705011838,
      0.0296074535500705,
      0.029051521816687922,
      0.028504756811887803,
      0.027967007232540822,
      0.027438124375621476,
      0.026917962002080107,
      0.02640637624842679,
      0.025903225509215592,
      0.025408370748860144,
      0.024921675065351524,
      0.024443003899060813,
      0.023972224913581777,
      0.02350920794841765,
      0.02305382498023494,
      0.022605950118034356,
      0.022165459492060644,
      0.021732231188652945,
      0.021306145498232437,
      0.020887084675362988,
      0.020474932833947745,
      0.020069575951382982,
      0.019670902083532327,
      0.019278801021642283,
      0.018893164388558523,
      0.018513874689648675,
      0.018140804587709083,
      0.017773835279092712,
      0.01741285598129864,
      0.017057761756095455,
      0.01670845197273587,
      0.01636482927745103,
      0.01602679910412764,
      0.015694269157165385,
      0.015367149132648911,
      0.015045350319630198,
      0.014728785825111118,
      0.01441737029684183,
      0.014111019868545925,
      0.013809651977453121,
      0.01351318549242876,
      0.013221540700799835,
      0.012934639180487838,
      0.01265240369591675,
      0.012374758270577473,
      0.012101628314963933,
      0.011832940436093795,
      0.01156862227664475,
      0.01130860277844445,
      0.011052812056234627,
      0.010801181301669713,
      0.010553642869686585,
      0.010310130121227938,
      0.01007057761356922,
      0.009834920913376483,
      0.009603096712837926,
      0.009375042740632566,
      0.009150697606389962,
      0.008930000979801192,
      0.008712893525367868,
      0.008499316880021084,
      0.008289213633722014,
      0.008082527199484763,
      0.007879202119494255,
      0.0076791837394241174,
      0.007482418292801695,
      0.007288852785368618,
      0.007098435226280805,
      0.006911114372944524,
      0.006726839905389736,
      0.006545562324135116,
      0.006367232883200099,
      0.006191803506830676,
      0.006019227128909734,
      0.005849457266507401,
      0.005682448314470189,
      0.005518155385569957,
      0.00535653428689911,
      0.005197541454626935,
      0.005041134279324538,
      0.004887270715779188,
      0.004735909410820605,
      0.004587009706346751,
      0.004440531473377002,
      0.004296435399704511,
      0.004154682746670062,
      0.004015235273374628,
      0.00387805557016705,
      0.0037431068161191574,
      0.003610352736468756,
      0.0034797575746065503,
      0.0033512862571942366,
      0.0032249042245657755,
      0.003100577454153128,
      0.0029782725176282334,
      0.0028579565130874467,
      0.00273959714655873,
      0.0026231626302962285,
      0.0025086215897374203,
      0.0023959432839516528,
      0.002285097357579894,
      0.002176054116078375,
      0.002068784313948484,
      0.001963258893337741,
      0.001859449506202728,
      0.0017573283967693234,
      0.0016568681143669527,
      0.0015580415837229194,
      0.0014608221322997806,
      0.0013651837482445478,
      0.00127110066005038,
      0.001178547655409961,
      0.001087499848533154,
      0.0009979326269962388,
      0.0009098219622990478,
      0.0008231442581284552,
      0.000737876200642709,
      0.0006539947305464419,
      0.0005714773532000012,
      0.0004903019740184442,
      0.0004104467354282288,
      0.00033189021092131036,
      0.0002546112445691444,
      0.00017858902080708885,
      0.00010380312888673774,
      3.0233425314864795e-05,
      -4.213981582851653e-05,
      -0.00011333611424875286,
      -0.00018337464367915233,
      -0.00025227418614362626,
      -0.00032005327596577377,
      -0.0003867300813693977,
      -0.0004523225525445683,
      -0.0005168483327403311,
      -0.0005803246813032669,
      -0.0006427686750743355,
      -0.0007041971863601087,
      -0.0007646267646985454,
      -0.0008240736192245974,
      -0.0008825537266295389,
      -0.0009400828303703164,
      -0.000996676305476082,
      -0.0010523494603303623,
      -0.001107117278815158,
      -0.0011609944855741842,
      -0.0012139955465823682,
      -0.001266134643181484,
      -0.0013174257849705518,
      -0.001367882782141621,
      -0.0014175191852104046,
      -0.001466348344561761,
      -0.0015143833929697572,
      -0.0015616372780325684,
      -0.001608122653927178,
      -0.0016538520455488678,
      -0.00169883777699082,
      -0.0017430919306897154,
      -0.0017866264203862763,
      -0.0018294529233974018,
      -0.0018715829901521225,
      -0.0019130279495022434,
      -0.001953798902274963,
      -0.00199390689224485,
      -0.002033362529397323,
      -0.002072176470694825,
      -0.002110359264728494,
      -0.002147921176679829,
      -0.002184872254293668,
      -0.0022212223989684565,
      -0.0022569813920251596,
      -0.0022921588248026033,
      -0.0023267641556108803,
      -0.0023608066958769646,
      -0.0023942955511049853,
      -0.002427239834779854,
      -0.002459648449745993,
      -0.0024915300153324567,
      -0.0025228930791283185,
      -0.0025537459978011517,
      -0.002584097186302872,
      -0.0026139547562726126,
      -0.0026433267706469773,
      -0.002672221122867242,
      -0.0027006455547548356,
      -0.0027286077698641205,
      -0.002756115202794518,
      -0.0027831753538364065,
      -0.002809795493902782,
      -0.0028359827185241646
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334558662107925,
      10.09297238596511,
      9.844830214890582,
      9.59298994297544,
      9.339991042179115,
      9.088020303517293,
      8.838894669953353,
      8.594057336128921,
      8.354570667340749,
      8.121135653242337,
      7.89412883791414,
      7.673649550886807,
      7.459572848628433,
      7.251603710422285,
      7.049328845759133,
      6.852263601531426,
      6.659892582255822,
      6.47170371718169,
      6.287214708903311,
      6.105992936209142,
      5.927666421886078,
      5.751921744644078,
      5.578512109435837,
      5.40727441509655,
      5.238123618098628,
      5.071038812559921,
      4.906076051680586,
      4.743395879444623,
      4.583263917781455,
      4.425988431024818,
      4.271903633761406,
      4.121373291557773,
      3.9747853478955175,
      3.832520468901853,
      3.69493632825071,
      3.5623551237685067,
      3.435053767391185,
      3.3132568347552165,
      3.197132126769694,
      3.0867872271640326,
      2.9822567745462054,
      2.883504167751659,
      2.7904135237911096,
      2.702784484811933,
      2.620368896385856,
      2.5429147992204446,
      2.470160105787305,
      2.401839247170495,
      2.3376849177116314,
      2.2774121165417545,
      2.220687868094072,
      2.1671336150453775,
      2.1164090524198698,
      2.0681851182280226,
      2.0221565433679225,
      1.978060018444991,
      1.935685612788542,
      1.8948565306413372,
      1.855426806195483,
      1.8172779024276915,
      1.7803048336997764,
      1.7444195148044648,
      1.709550475709038,
      1.6756379750823065,
      1.64263086228091,
      1.610484394317366,
      1.579158711534813,
      1.5486177649956971,
      1.5188291886642131,
      1.4897666647070433,
      1.4614084423085971,
      1.4337331236369109,
      1.4067184253381464,
      1.3803406642267413,
      1.3545773691173406,
      1.329407345054726,
      1.3048104634897661,
      1.2807675782795236,
      1.257260455585423,
      1.2342717129635845,
      1.2117847648316435,
      1.1897837757819578,
      1.168253616206313,
      1.1471799079458271,
      1.1265498757416834,
      1.1063516644164477,
      1.0865739660332403,
      1.0672060249976971,
      1.048237363544733,
      1.029657504701537,
      1.0114560868051095,
      0.9936229627584257,
      0.9761482577913624,
      0.9590223995415627,
      0.942236130913393,
      0.9257805132341882,
      0.9096469221620754,
      0.893827039839857,
      0.8783128448872005,
      0.8630966017540712,
      0.8481708489083353,
      0.8335283868922948,
      0.8191622674756438,
      0.8050657819652164,
      0.7912324509964019,
      0.7776560141289911,
      0.7643304202555863,
      0.751249818070025,
      0.738408547615379,
      0.7258011316091915,
      0.7134222676551345,
      0.7012668207640821,
      0.6893298160358077,
      0.6776064320079178,
      0.6660919943343849,
      0.6547819695808241,
      0.6436719593992201,
      0.6327576954469505,
      0.6220350332198248,
      0.611499946249342,
      0.6011484705653916,
      0.5909767323463239,
      0.5809809935338418,
      0.571157637088177,
      0.561503156086106,
      0.5520141452449653,
      0.5426872950950725,
      0.5335193869396971,
      0.5245076949339774,
      0.5156501803198078,
      0.5069445926324421,
      0.4983884542899037,
      0.4899791693316702,
      0.48171409157985745,
      0.4735905669981632,
      0.46560596030818396,
      0.45775767058068273,
      0.45004314027864895,
      0.44245986067939164,
      0.4350053747842155,
      0.4276772782550408,
      0.4204732192912322,
      0.4133910487825052,
      0.4064288927369083,
      0.3995848183317393,
      0.39285682864810634,
      0.38624290295527935,
      0.37974102207572596,
      0.37334918361278774,
      0.3670654115591884,
      0.360887761707027,
      0.3548143246317034,
      0.3488433219934464,
      0.34297309552799116,
      0.3372019621452973,
      0.33152822514530833,
      0.32595019218420884,
      0.32046618612951133,
      0.31507455206996776,
      0.3097736609455641,
      0.3045619351413208,
      0.29943784390434214,
      0.29439987121119393,
      0.2894465192777225,
      0.2845763125190424,
      0.2797877995282294,
      0.2750795545506469,
      0.2704501778015736,
      0.26589828049458225,
      0.2614223151729314,
      0.2570207088292916,
      0.2526920145467147,
      0.2484348738437161,
      0.24424799303605116,
      0.24013012791827132,
      0.23608007375920717,
      0.23209665858082168,
      0.22817888497695488,
      0.2243261118338215,
      0.2205376069465208,
      0.21681251061642554,
      0.21314988838639226,
      0.2095487647746246,
      0.20600814503264853,
      0.20252702871198697,
      0.19910441824885888,
      0.195739302726493,
      0.19243059418845584,
      0.18917722909826298,
      0.18597819949148728,
      0.1828325389233149,
      0.17973931334453078,
      0.17669761516617313,
      0.17370655928273504,
      0.1707652803279833,
      0.16787293089951094,
      0.1650286803397428,
      0.16223171376376336,
      0.1594812313514608,
      0.15677644790769726,
      0.15411659236581574,
      0.15150090737971572,
      0.14892864894021923,
      0.14639908619940137,
      0.14391150119144558,
      0.14146518841776126,
      0.13905945465171446,
      0.13669361876595607,
      0.1343670114925828,
      0.13207897518003864,
      0.12982886367382948,
      0.12761604164562815,
      0.12543988494161037,
      0.12329978019454342,
      0.12119512441198964,
      0.1191253252330105,
      0.11708980022533642,
      0.11508797716830717,
      0.11311929347759556,
      0.11118319618853384,
      0.1092791417480202,
      0.10740659592586735,
      0.10556503352746523,
      0.10375393833345528,
      0.10197280291003531,
      0.10022112852486859,
      0.0984984248439843,
      0.0968042097967644,
      0.09513800945002528,
      0.09349935799224446,
      0.09188779740828361,
      0.09030287753738998,
      0.0887441556809422,
      0.08721119661797098,
      0.08570357257645092,
      0.08422086285229871,
      0.08276265382186622,
      0.08132853897014082,
      0.07991811855892345,
      0.07853099946882931,
      0.07716679535073208,
      0.0758251262387259,
      0.07450561842123044,
      0.07320790459834628,
      0.07193162349325335,
      0.07067642007064598,
      0.06944194508403256,
      0.06822785508657973,
      0.06703381243417064,
      0.06585948521783613,
      0.0647045470989866,
      0.06356867702860797,
      0.06245155943784379,
      0.061352883872398276,
      0.0602723451935754,
      0.059209643232314785,
      0.05816448299320985,
      0.057136574286009476,
      0.056125631696389594,
      0.05513137459335409,
      0.054153527116534206,
      0.05319181796201098,
      0.052245980152924754,
      0.0513157513580694,
      0.05040087354404686,
      0.0495010929006919,
      0.048616159881607966,
      0.047745829219212874,
      0.04688985954568619,
      0.04604801359488662,
      0.04522005801913173,
      0.04440576325247101,
      0.04360490367784481,
      0.042817257220734886,
      0.04204260564370896,
      0.04128073433668635,
      0.040531432223095076,
      0.039794491733452265,
      0.0390697086493725,
      0.03835688233249173,
      0.03765581525129058,
      0.036966313248456915,
      0.036288185318445104,
      0.0356212436261274,
      0.03496530360150443,
      0.03432018365880512,
      0.033685705022260405,
      0.033061692103631524,
      0.0324479721031783,
      0.03184437521298071,
      0.03125073431662898,
      0.03066688498523565,
      0.030092665617933768,
      0.029527917281071785,
      0.02897248371707628,
      0.028426211312705375,
      0.027888948746652386,
      0.02736054735234221,
      0.026840860924572572,
      0.026329745663264268,
      0.025827060062578268,
      0.025332665127236656,
      0.024846424013181413,
      0.02436820221109645,
      0.023897867363606003,
      0.023435289389805627,
      0.022980340364086378,
      0.022532894314554585,
      0.022092827505819763,
      0.021660018215551347,
      0.02123434668397538,
      0.020815695102965878,
      0.0204039476954896,
      0.01999899051642226,
      0.019600711636113908,
      0.019209000892805066,
      0.018823749950971604,
      0.01844485220753146,
      0.01807220285760568,
      0.017705698941997625,
      0.01734523908365518,
      0.016990723510160607,
      0.016642054203519354,
      0.016299126051977017,
      0.01596182376278319,
      0.015630039445918,
      0.015303672774050071,
      0.014982628706430433,
      0.014666815965354846,
      0.014356146602140006,
      0.014050534965459103,
      0.013749897518154619,
      0.013454152585968705,
      0.01316322000566287,
      0.01287702102688767,
      0.012595478435966128,
      0.01231851641207151,
      0.012046060312557384,
      0.011778036806420757,
      0.011514373599479565,
      0.011254999742145064,
      0.010999845489765913,
      0.010748842253991836,
      0.010501922441814183,
      0.010259019507667515,
      0.010020068124967045,
      0.009785004095164808,
      0.009553764140458353,
      0.00932628592270503,
      0.009102508275882153,
      0.008882370978805919,
      0.008665814786074318,
      0.008452781551839834,
      0.008243213995249377,
      0.008037055666492291,
      0.00783425113884613,
      0.007634745803885213,
      0.00743848594339859,
      0.007245418792157929,
      0.007055492413525799,
      0.006868655673762115,
      0.0066848584166095395,
      0.00650405120297112,
      0.00632618532030496,
      0.006151212922314425,
      0.005979086923929643,
      0.00580976106438354,
      0.00564318981488432,
      0.005479328237995735,
      0.0053181323139186686,
      0.005159558665770702,
      0.005003564637539394,
      0.004850108336580202,
      0.004699148405468102,
      0.004550644203285558,
      0.004404555811445686,
      0.004260843908738608,
      0.004119469916186271,
      0.0039803956672644705,
      0.003843583786185016,
      0.0037089975537924467,
      0.0035766007190202015,
      0.0034463576237431554,
      0.003318233279112286,
      0.003192193247152052,
      0.003068203582028427,
      0.0029462309576619634,
      0.002826242581337919,
      0.0027082061603506914,
      0.0025920898516319985,
      0.002477862410360593,
      0.0023654931434813056,
      0.0022549518021022018,
      0.00214620867248771,
      0.002039234605931098,
      0.0019340007451089784,
      0.00183047875439433,
      0.0017286408230602205,
      0.0016284595625601762,
      0.001529908102493296,
      0.0014329598324624596,
      0.0013375886093549391,
      0.0012437689472187432,
      0.0011514754974583815,
      0.001060683432788816,
      0.0009713683242489462,
      0.0008835060771528351,
      0.0007970731291254606,
      0.0007120461984349368,
      0.000628402453537871,
      0.0005461194298453542,
      0.00046517493514064694,
      0.0003855472295084717,
      0.0003072147046796182,
      0.00023015653085185658,
      0.00015435201484543084,
      7.978072911357117e-05,
      6.422552211449826e-06,
      -6.574228287185957e-05,
      -0.0001367332154631837,
      -0.0002065692363702867,
      -0.00027526915323038527,
      -0.00034285153717554827,
      -0.00040933453489960786,
      -0.0004747359908277548,
      -0.0005390735170935245,
      -0.0006023644927220986,
      -0.0006646259409938508,
      -0.0007258745455396536,
      -0.0007861266966487987,
      -0.0008453987147275584,
      -0.0009037064880537521,
      -0.0009610657069516067,
      -0.0010174919507555554,
      -0.0010730003038800725,
      -0.001127605644009779,
      -0.0011813226813416618,
      -0.0012341658062459979,
      -0.001286149336999201,
      -0.0013372872131686131,
      -0.0013875931966613236,
      -0.0014370807858173173,
      -0.001485763363903297,
      -0.00153365397154577,
      -0.0015807654918040918,
      -0.0016271105860185052,
      -0.0016727018262904425,
      -0.0017175515413583857,
      -0.0017616716041212962,
      -0.0018050738599543299,
      -0.0018477700395038506,
      -0.0018897716840308096,
      -0.001931090012586351,
      -0.0019717362140927092,
      -0.0020117212114250777,
      -0.0020510556724150438,
      -0.002089750223613158,
      -0.0021278152755876993,
      -0.002165261127504999,
      -0.0022020978548504496,
      -0.0022383353871602237,
      -0.0022739834961850607,
      -0.002309051764155358,
      -0.0023435494624716967,
      -0.0023774859379594574,
      -0.0024108703504695595,
      -0.0024437117726576023,
      -0.002476018996427965,
      -0.0025078005802894755,
      -0.0025390650736289056,
      -0.0025698209931950904,
      -0.0026000766084330993,
      -0.002629840069272323,
      -0.00265911940003914,
      -0.0026879224291423438,
      -0.0027162568961522004,
      -0.0027441304248748857,
      -0.0027715505024926822,
      -0.0027985244962857128,
      -0.0028250597078114843,
      -0.0028511632872809003
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334554463110353,
      10.092958754964348,
      9.844801681969585,
      9.592941647373088,
      9.339919571356077,
      9.087923354498502,
      8.838770945921619,
      8.59390624261878,
      8.354392050157271,
      8.120929639786151,
      7.893895712898516,
      7.6733896637975025,
      7.4592865526540555,
      7.251291329465542,
      7.0489906700061375,
      6.851899897150723,
      6.659503602324835,
      6.4712897289069184,
      6.28677605689666,
      6.105530113004939,
      5.927180137700665,
      5.7514129957267945,
      5.577982187260873,
      5.40672483554931,
      5.237556039867092,
      5.070455050257544,
      4.905478199620568,
      4.742786946114682,
      4.5826473846846785,
      4.425367797416004,
      4.271282400076534,
      4.120755056059967,
      3.974173764033336,
      3.83191892261076,
      3.6943479439843943,
      3.561782724039443,
      3.434499828827818,
      3.312723505248695,
      3.1966211707964653,
      3.0862999152680546,
      2.9817937866151136,
      2.8830655977457904,
      2.789998955754406,
      2.7023928302922275,
      2.6199986735446643,
      2.5425644305386874,
      2.469827848389416,
      2.401523280514778,
      2.337383439144704,
      2.27712330356114,
      2.2204093900403175,
      2.1668632198126394,
      2.1161447240060123,
      2.0679249378954694,
      2.021898851601397,
      1.9778035574472157,
      1.9354294510499188,
      1.8945999783733691,
      1.8551693763084818,
      1.8170191943197176,
      1.780044375637117,
      1.7441569533151162,
      1.7092855850273256,
      1.6753706179913057,
      1.6423609623397186,
      1.610211917040237,
      1.5788836508450526,
      1.548340134467495,
      1.5185491090664802,
      1.489484507500697,
      1.461124657781057,
      1.4334480206189086,
      1.406432229390761,
      1.3800535657573654,
      1.3542895083595468,
      1.329118822696907,
      1.3045213549616879,
      1.2804779430470137,
      1.2569703424186667,
      1.2339811634664832,
      1.211493817012468,
      1.1894924645120422,
      1.1679619741783756,
      1.146887976591102,
      1.1262577094947281,
      1.1060593137756167,
      1.0862815037036437,
      1.0669136248355007,
      1.0479451788251124,
      1.0293656407058316,
      1.0111646175196483,
      0.9933319424744464,
      0.9758577281816472,
      0.958732393851063,
      0.9419466773568734,
      0.9254916365384352,
      0.9093586449849634,
      0.8935393833564208,
      0.8780258294603579,
      0.8628102471315986,
      0.8478851743538475,
      0.8332434114545956,
      0.8188780097858227,
      0.8047822603258635,
      0.7909496834316484,
      0.7773740186246778,
      0.7640492148098245,
      0.7509694205029972,
      0.7381289754180246,
      0.7255224018817051,
      0.7131443973132241,
      0.7009898262764265,
      0.6890537136328715,
      0.6773312378038775,
      0.6658177243121521,
      0.6545086391595077,
      0.6433995839834391,
      0.6324862896179346,
      0.6217646113916837,
      0.611230522170411,
      0.6008800574201907,
      0.5907093429497127,
      0.5807146409481085,
      0.5708923342919879,
      0.5612389155594466,
      0.5517509792577191,
      0.5424252157079363,
      0.5332584056412738,
      0.5242479057431911,
      0.5153916794860314,
      0.5066874423320857,
      0.4981326950856011,
      0.4897248279736752,
      0.4814611860085063,
      0.4733391095042023,
      0.4653559593708869,
      0.45750913205070826,
      0.4497960684192757,
      0.4422142588149755,
      0.4347612455839458,
      0.4274346235002646,
      0.42023204027112254,
      0.4131513701144098,
      0.4061907391443347,
      0.3993482047337503,
      0.39262176356086365,
      0.3860093909513845,
      0.3795090649781907,
      0.37311878167533585,
      0.3668365637214481,
      0.3606604659172189,
      0.35458857834018076,
      0.34861913200358574,
      0.3427504686678904,
      0.3369809009521725,
      0.33130872924041643,
      0.3257322594814365,
      0.32024981346248194,
      0.3148597352526425,
      0.30956039523295903,
      0.3043502175685404,
      0.2992276711385979,
      0.2941912388891599,
      0.28923942229030974,
      0.2843707453036114,
      0.27958375625553716,
      0.2748770290410435,
      0.27024916341249455,
      0.26569877264957376,
      0.26122431183788664,
      0.2568242060708433,
      0.252497007426267,
      0.24824135663073646,
      0.24405595960816792,
      0.2399395717250208,
      0.23589098793599822,
      0.23190903600915638,
      0.22799271016202677,
      0.2241413688174354,
      0.2203542826851371,
      0.21663059386766761,
      0.21296936921148366,
      0.2093696339304791,
      0.2058303936705505,
      0.20235064822941953,
      0.19892940023012654,
      0.19556563653070938,
      0.19225826607724464,
      0.18900622737068903,
      0.1858085137977675,
      0.18266415965979244,
      0.17957223149595308,
      0.17653182203476891,
      0.17354204627521247,
      0.17060203895842013,
      0.1677109527855756,
      0.1648679569313518,
      0.16207223657965616,
      0.1593229919859266,
      0.15661943785295385,
      0.15396080304948964,
      0.15134633021446944,
      0.14877527533427437,
      0.14624690751576835,
      0.1437605086748487,
      0.14131537341959727,
      0.13891080851140272,
      0.13654613269789156,
      0.13422067671439225,
      0.13193378297672292,
      0.1296848052261015,
      0.12747310833502912,
      0.12529806810217184,
      0.12315907104225352,
      0.12105551434898335,
      0.11898680549026588,
      0.11695236214090873,
      0.11495161193736549,
      0.11298399227052755,
      0.11104895017365228,
      0.10914594217098986,
      0.10727443397921796,
      0.10543390055059054,
      0.10362382572036598,
      0.10184370205529578,
      0.10009303071193484,
      0.09837132140656937,
      0.09667809203203012,
      0.09501286875409871,
      0.09337518583682572,
      0.0917645852794239,
      0.09018061686773599,
      0.0886228378897742,
      0.08709081320491764,
      0.0855841150184039,
      0.0841023226971784,
      0.08264502275721099,
      0.08121180864064238,
      0.07980228055880711,
      0.07841604548009985,
      0.07705271706552795,
      0.07571191532277269,
      0.07439326664887377,
      0.07309640382587941,
      0.07182096559089836,
      0.07056659690867337,
      0.06933294866172715,
      0.06811967756975315,
      0.06692644596414143,
      0.06575292195225564,
      0.06459877909361333,
      0.06346369645289753,
      0.062347358405631714,
      0.06124945469562419,
      0.06016968014353058,
      0.05910773475253141,
      0.05806332342929231,
      0.057036156003369885,
      0.05602594715302061,
      0.05503241643880445,
      0.05405528789049209,
      0.053094290193371314,
      0.05214915653195835,
      0.05121962461326057,
      0.05030543653209578,
      0.04940633845533011,
      0.048522080970888205,
      0.04765241875341883,
      0.04679711055695906,
      0.04595591909299712,
      0.04512861094238281,
      0.044314956860718895,
      0.04351473119575305,
      0.042727711964664794,
      0.041953680935475995,
      0.04119242353213089,
      0.040443728721441766,
      0.039707388952092124,
      0.03898320003664731,
      0.03827096132339292,
      0.03757047545208219,
      0.0368815482402292,
      0.036203988861408416,
      0.03553760958476058,
      0.034882225768224015,
      0.03423765584414976,
      0.03360372119658746,
      0.03298024620206929,
      0.03236705816115925,
      0.031763987216010064,
      0.03117086627858853,
      0.03058753119252785,
      0.030013820397263354,
      0.029449574964738708,
      0.028894638665694975,
      0.02834885781674918,
      0.027812081252645497,
      0.02728416023753896,
      0.02676494874880792,
      0.0262543030331057,
      0.025752081661313424,
      0.025258145573269643,
      0.024772358049166363,
      0.024294584619798082,
      0.02382469297303423,
      0.023362553027601693,
      0.02290803682466409,
      0.022461018644135203,
      0.02202137475264991,
      0.02158898340880942,
      0.021163724887680008,
      0.020745481523977732,
      0.02033413758202116,
      0.019929579145924525,
      0.01953169430962444,
      0.01914037294200802,
      0.018755506764413697,
      0.018376989263601838,
      0.018004715668698604,
      0.0176385829606411,
      0.0172784897992854,
      0.016924336552364177,
      0.016576025293130174,
      0.016233459575429588,
      0.015896544545634796,
      0.015565187066997875,
      0.015239295481655188,
      0.01491877948676176,
      0.014603550442043341,
      0.014293521092104423,
      0.01398859420959001,
      0.013688667261736271,
      0.013393645742186152,
      0.013103441342749945,
      0.012817970016960235,
      0.012537151065506149,
      0.012260906444478987,
      0.011989160224264028,
      0.011721838145046548,
      0.01145886744699235,
      0.01120017688986314,
      0.010945696543553523,
      0.010695357685724171,
      0.010449092811953286,
      0.010206835612834485,
      0.009968520745419967,
      0.009734084092342674,
      0.009503462452796239,
      0.00927659378465454,
      0.00905341697349235,
      0.008833871879235304,
      0.008617899431020726,
      0.008405441496950045,
      0.008196440897974392,
      0.007990841336042004,
      0.007788587504167987,
      0.007589624951758801,
      0.007393900049256979,
      0.007201360184907688,
      0.0070119534817336526,
      0.006825628956720286,
      0.006642336454279881,
      0.006462026697406521,
      0.00628465113251076,
      0.006110161961508563,
      0.005938512246857979,
      0.005769655759211753,
      0.005603546980351026,
      0.005440141147079255,
      0.005279394374728365,
      0.005121263408491009,
      0.004965705657224968,
      0.004812679210717874,
      0.0046621429613661804,
      0.004514056379382112,
      0.004368379519015239,
      0.004225073205268722,
      0.004084098931022909,
      0.003945418654991095,
      0.003808995053130374,
      0.003674791537586965,
      0.003542771903033141,
      0.0034129004899937777,
      0.0032851424074886743,
      0.0031594633196047003,
      0.0030358293490839044,
      0.0029142071543327075,
      0.0027945639509922705,
      0.0026768676182630656,
      0.0025610865986830786,
      0.002447189659656568,
      0.002335146190664091,
      0.002224925943256018,
      0.0021164992430103605,
      0.0020098368984507457,
      0.001904910239186653,
      0.0018016910542523574,
      0.0017001514749408987,
      0.0016002641899103874,
      0.0015020023569543234,
      0.0014053394722829903,
      0.0013102495271059536,
      0.001216707020282681,
      0.0011246866480880858,
      0.0010341636884089718,
      0.0009451137509429947,
      0.0008575128597791574,
      0.0007713373971768141,
      0.0006865642017542369,
      0.0006031705921430394,
      0.0005211340742897993,
      0.0004404325140697668,
      0.00036104423484012156,
      0.00028294776039491546,
      0.00020612208708428059,
      0.000130546461428368,
      5.62006866688335e-05,
      -1.6935370323587564e-05,
      -8.888131696536635e-05,
      -0.00015965652201463566,
      -0.000229280000789949,
      -0.00029777052802096293,
      -0.0003651464952379047,
      -0.0004314260402225275,
      -0.0004966270418612892,
      -0.0005607671141176716,
      -0.0006238635033018886,
      -0.0006859331430596644,
      -0.0007469927400829204,
      -0.0008070587186977426,
      -0.0008661472535137821,
      -0.0009242743457563524,
      -0.0009814555871431982,
      -0.0010377062462929303,
      -0.0010930415452718282,
      -0.0011474763183376036,
      -0.0012010253311884455,
      -0.0012537030525601714,
      -0.001305523564725743,
      -0.0013565008669146669,
      -0.0014066486886164817,
      -0.0014559803079672847,
      -0.0015045091892522523,
      -0.0015522484439878682,
      -0.0015992108443831222,
      -0.001645409102476671,
      -0.0016908556210239944,
      -0.0017355625231334276,
      -0.0017795419479850977,
      -0.0018228056467110769,
      -0.0018653654104870052,
      -0.0019072326457708025,
      -0.0019484185908503983,
      -0.001988934309363107,
      -0.0020287906762412452,
      -0.002067998490389776,
      -0.002106568345461845,
      -0.002144510652381156,
      -0.0021818355336619016,
      -0.0022185529524769315,
      -0.002254672872556561,
      -0.0022902049282353997,
      -0.0023251588886919043,
      -0.002359544098035461,
      -0.002393369747744833,
      -0.0024266449062762597,
      -0.00245937862487712,
      -0.0024915796732782355,
      -0.0025232566638309565,
      -0.0025544181806951382,
      -0.002585072539854769,
      -0.0026152281654268114,
      -0.0026448931837553358,
      -0.002674075531614473,
      -0.0027027830064819446,
      -0.0027310233544564416,
      -0.002758804186118571,
      -0.0027861329618542583,
      -0.002813017014810329,
      -0.0028394635797709743,
      -0.00286547976422578
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334550271231638,
      10.092945142251176,
      9.844773179669684,
      9.592893394273084,
      9.33984815058157,
      9.087826462223015,
      8.838647284141844,
      8.593755217038787,
      8.354213506235196,
      8.120723705692985,
      7.893662672139536,
      7.673129865022885,
      7.459000349999454,
      7.25097904968103,
      7.048652602706583,
      6.851536306773116,
      6.659114748326292,
      6.47087588275032,
      6.2863375632608465,
      6.105067464026225,
      5.92669404228058,
      5.750904450621196,
      5.5774524854014516,
      5.406175493020609,
      5.236988715536346,
      5.069871557782613,
      4.904880664330932,
      4.742178401505,
      4.582031303167119,
      4.424747671244727,
      4.270661722833896,
      4.120137416675747,
      3.9735627802029243,
      3.831317977428023,
      3.69376015885439,
      3.5612109179530056,
      3.433946475594767,
      3.3121907488798557,
      3.196110771205149,
      3.085813140268977,
      2.981331311605052,
      2.882627500431789,
      2.789584810634941,
      2.7020015559234567,
      2.619628793703386,
      2.542214373288416,
      2.469495876159226,
      2.4012075772864496,
      2.337082205038906,
      2.2768347183308966,
      2.2201311142546496,
      2.166593007615341,
      2.1158805644177545,
      2.067664916635038,
      2.0216413146103944,
      1.9775472502940832,
      1.9351734450550035,
      1.894343585731041,
      1.8549121114687586,
      1.8167606572413009,
      1.779784096024438,
      1.7438945785112823,
      1.7090208898404955,
      1.6751034653349164,
      1.6420912757666648,
      1.609939661771048,
      1.5786088207322846,
      1.548062742425497,
      1.5182693395706506,
      1.4892027189001662,
      1.4608412828766069,
      1.4331633569648432,
      1.406146493618752,
      1.3797669416923484,
      1.3540021316932975,
      1.3288307920725317,
      1.3042327447840447,
      1.2801888116581306,
      1.2566807378733011,
      1.233691127518363,
      1.2112033862431495,
      1.1892016730259631,
      1.167670854355648,
      1.146596570206823,
      1.125966071475681,
      1.1057674949045848,
      1.085989619232515,
      1.066621866677811,
      1.0476536759483686,
      1.0290744826001088,
      1.010873868834363,
      0.993041651242676,
      0.9755679320187636,
      0.9584431237295847,
      0.9416579599302247,
      0.9252034955766921,
      0.909071102332235,
      0.8932524600229033,
      0.8777395456809172,
      0.8625246223575473,
      0.8476002275853474,
      0.8329591615589168,
      0.8185944753949228,
      0.80449946012763,
      0.7906676357870455,
      0.7770927418595832,
      0.763768726756258,
      0.7506897385361407,
      0.7378501167351443,
      0.7252443835152339,
      0.7128672359545719,
      0.700713538698283,
      0.6887783164915128,
      0.6770567472526194,
      0.6655441559855496,
      0.6542360084003271,
      0.6431279058565621,
      0.6322155792447572,
      0.6214948835891424,
      0.6109617908009605,
      0.6006123355696495,
      0.5904426439853643,
      0.5804489778139247,
      0.5706277196090507,
      0.5609753617689177,
      0.5514884986035549,
      0.5421638202114327,
      0.5329981070432915,
      0.5239887978177822,
      0.5151338579940524,
      0.5064309696063038,
      0.49787761172573414,
      0.48947116067408425,
      0.4812089525848689,
      0.4730883222057341,
      0.4651066266157545,
      0.4572612598630667,
      0.4495496611651231,
      0.4419693196726755,
      0.4345177769287172,
      0.42719262733178986,
      0.41999151799842993,
      0.41291234609698746,
      0.40595323828303276,
      0.3991122420002647,
      0.3923873475266675,
      0.38577652601780077,
      0.37927775295125227,
      0.372889022513372,
      0.3666083564755921,
      0.36043380879967435,
      0.3543634687733293,
      0.3483955767885878,
      0.34252847437617434,
      0.33676047000283504,
      0.3310898614273039,
      0.32551495274991515,
      0.3200340645361657,
      0.314645540176448,
      0.30934774935130116,
      0.3041391176228013,
      0.29901811379217,
      0.29398321981003134,
      0.28903293653773954,
      0.2841657872137581,
      0.2793803197673198,
      0.2746751078914294,
      0.27004875132899137,
      0.26549986490039046,
      0.261026906420634,
      0.25662829920665925,
      0.25230259412350187,
      0.24804843121648223,
      0.24386451588611285,
      0.23974960314285554,
      0.2357024876098446,
      0.23172199693623197,
      0.2278071168443895,
      0.22395720521299067,
      0.2201715357886246,
      0.21644925264797932,
      0.21278942365698067,
      0.2091910748348467,
      0.20565321228081454,
      0.20217483589453306,
      0.19875494844313127,
      0.19539253452902955,
      0.19208650022388601,
      0.1888357860736504,
      0.1856393866838559,
      0.18249633721123704,
      0.17940570470221498,
      0.17636658205820452,
      0.17337808447257053,
      0.1704393468515195,
      0.16754952181584365,
      0.16470777875400716,
      0.16191330281723668,
      0.1591652941340872,
      0.15646296745824093,
      0.15380555160090637,
      0.151192289129257,
      0.14862243608963788,
      0.14609526157668543,
      0.14361004733850738,
      0.1411660880148192,
      0.13876269034347236,
      0.13639917317116373,
      0.13407486714914882,
      0.1317891146673105,
      0.12954126927579182,
      0.1273306959861968,
      0.12515677051279514,
      0.1230188794502641,
      0.12091641993717324,
      0.11884879951185612,
      0.11681543579043634,
      0.11481575638645425,
      0.11284919877351576,
      0.11091521007745096,
      0.10901324673448996,
      0.10714277460561836,
      0.10530326857467287,
      0.10349421242426418,
      0.10171509877276799,
      0.09996542884389005,
      0.09824471229008264,
      0.09655246701277091,
      0.09488821920741236,
      0.09325150311257793,
      0.09164186076741183,
      0.09005884205684607,
      0.08850200427436429,
      0.08697091234095579,
      0.08546513843645676,
      0.08398426196120319,
      0.08252786948551417,
      0.08109555442814154,
      0.07968691713147111,
      0.07830156457285983,
      0.07693911030980179,
      0.07559917442593792,
      0.07428138355177968,
      0.07298537024397829,
      0.0717107735758392,
      0.07045723852945855,
      0.06922441575961037,
      0.06801196210960021,
      0.06681954007476361,
      0.06564681768404428,
      0.06449346860243588,
      0.06335917190715058,
      0.06224361203341263,
      0.061146478650751554,
      0.06006746673068456,
      0.05900627630923973,
      0.05796261238322075,
      0.05693618496777808,
      0.05592670869865303,
      0.054933903030962815,
      0.0539574920482099,
      0.052997204604177346,
      0.052052773986079125,
      0.051123937855513626,
      0.05021043821819023,
      0.04931202148682467,
      0.04842843823582723,
      0.04755944314693691,
      0.0467047949574748,
      0.04586425658308602,
      0.04503759471554959,
      0.04422458003307743,
      0.0434249869291837,
      0.04263859345337926,
      0.041865181443624895,
      0.04110453634868624,
      0.040356447220428415,
      0.03962070662756704,
      0.03889711056667078,
      0.03818545824984364,
      0.037485552356270935,
      0.036797198864495465,
      0.036120206932279034,
      0.03545438882685658,
      0.03479955998807029,
      0.03415553892559986,
      0.03352214705154014,
      0.032899208886972175,
      0.032286551701301146,
      0.031684005696853444,
      0.031091403931103823,
      0.03050858216722156,
      0.02993537882416748,
      0.029371635178877416,
      0.028817194936766263,
      0.028271904498806736,
      0.02773561281939395,
      0.02720817127355255,
      0.026689433756718547,
      0.026179256545916695,
      0.025677498322915934,
      0.025184020085917018,
      0.02469868513989982,
      0.02422135905816138,
      0.023751909557164712,
      0.023290206646551806,
      0.022836122419516124,
      0.022389531143680523,
      0.02195030915217913,
      0.02151833482390044,
      0.02109348855411383,
      0.02067565262657406,
      0.020264711324861552,
      0.019860550829126418,
      0.01946305925377457,
      0.019072126565132533,
      0.01868764446884712,
      0.018309506487931546,
      0.01793760792727311,
      0.017571845807025845,
      0.017212118789542142,
      0.01685832730424061,
      0.01651037339239488,
      0.016168160647932833,
      0.0158315944182231,
      0.01550058156024817,
      0.01517503034281774,
      0.014854850659294093,
      0.014539953846150758,
      0.014230252685205821,
      0.013925661475194577,
      0.013626095873704913,
      0.013331473011871294,
      0.013041711379159446,
      0.012756730694651774,
      0.012476452063024156,
      0.012200797893940442,
      0.011929689906791913,
      0.01166303958049915,
      0.01140075891313062,
      0.011142766639743402,
      0.010888986469580243,
      0.010639345412949381,
      0.010393773278689417,
      0.010152202017642414,
      0.009914565290063796,
      0.009680798237186119,
      0.009450837392381234,
      0.009224620387365998,
      0.009002086127632682,
      0.008783174476329923,
      0.008567826406191045,
      0.008355983863545573,
      0.008147589896708059,
      0.00794258821613999,
      0.007740923552604854,
      0.007542541541887729,
      0.0073473887277835225,
      0.007155412524087014,
      0.006966561288252536,
      0.006780784156629148,
      0.006598031099520005,
      0.006418252915666209,
      0.006241401089835777,
      0.006067428073446134,
      0.005896286938597336,
      0.005727931480455766,
      0.005562316384893779,
      0.005399397236061186,
      0.005239130087804855,
      0.005081471691696023,
      0.0049263795496683055,
      0.0047738120018121525,
      0.004623728005517618,
      0.004476087012426289,
      0.004330849254883464,
      0.0041879755960843685,
      0.004047427579868669,
      0.0039091673943062715,
      0.0037731577297187807,
      0.003639361893083714,
      0.003507743962730035,
      0.003378268431367233,
      0.0032509004482048796,
      0.003125605783971859,
      0.0030023506264361542,
      0.002881101746857343,
      0.002761826490384534,
      0.0026444927750284945,
      0.0025290689910834503,
      0.002415523934386467,
      0.0023038270909293782,
      0.002193948383505637,
      0.0020858582126725414,
      0.001979527601332009,
      0.0018749277819797374,
      0.001772030567336358,
      0.0016708082458794728,
      0.0015712336512619834,
      0.001473279896634418,
      0.0013769205936914276,
      0.0012821297486765738,
      0.0011888819023962818,
      0.0010971519346407125,
      0.0010069150866751201,
      0.0009181470863985608,
      0.0008308240660055933,
      0.0007449223854533385,
      0.0006604190295695797,
      0.0005772911549405058,
      0.0004955163567038006,
      0.00041507263774757925,
      0.00033593834750226376,
      0.00025809220563035267,
      0.0001815131861217338,
      0.00010618067695109075,
      3.207443072590051e-05,
      -4.082554038409746e-05,
      -0.00011253885196260981,
      -0.00018308483728655172,
      -0.0002524825024040726,
      -0.0003207505751500831,
      -0.00038790745152565606,
      -0.00045397119158353404,
      -0.0005189595585059665,
      -0.0005828900311818178,
      -0.0006457798916871883,
      -0.0007076460453599943,
      -0.0007685051124018323,
      -0.0008283735567405294,
      -0.0008872674962798735,
      -0.0009452027852775782,
      -0.0010021950702798752,
      -0.001058259635112313,
      -0.0011134116582215692,
      -0.0011676659731417215,
      -0.0012210371650001079,
      -0.0012735395768492686,
      -0.0013251873407213236,
      -0.001375994420174468,
      -0.0014259744614392679,
      -0.0014751409682446765,
      -0.001523507182765372,
      -0.001571086074095783,
      -0.0016178904846373646,
      -0.0016639330023710678,
      -0.0017092259973765385,
      -0.0017537817279623922,
      -0.0017976122232369132,
      -0.0018407293429855158,
      -0.0018831446462963413,
      -0.0019248695386709026,
      -0.001965915221214592,
      -0.002006292772924122,
      -0.002046013117969379,
      -0.0020850869220508453,
      -0.0021235247107178716,
      -0.002161336853349784,
      -0.0021985335149263276,
      -0.002235124689479045,
      -0.0022711202649415636,
      -0.0023065299281633906,
      -0.0023413632604184988,
      -0.002375629533074175,
      -0.002409338043130612,
      -0.002442497844295384,
      -0.0024751178142613777,
      -0.0025072067852463555,
      -0.0025387734575077156,
      -0.0025698262682194188,
      -0.0026003736155708478,
      -0.002630423751570854,
      -0.0026599847128038123,
      -0.0026890645428103944,
      -0.0027176710309886123,
      -0.0027458119214177168,
      -0.0027734946694285153,
      -0.0028007267702475106,
      -0.0028275156164320027,
      -0.0028538684124639704,
      -0.0028797922474432494
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334546074368784,
      10.092931513177065,
      9.844744645207903,
      9.592845089235029,
      9.339776657205864,
      9.087729474857763,
      8.83852350234781,
      8.593604041712974,
      8.354034782142316,
      8.120517559574317,
      7.893429389435315,
      7.672869795730245,
      7.458713847979001,
      7.250666440424191,
      7.048314175798084,
      6.851172326469518,
      6.65872547442732,
      6.470461589095259,
      6.285898596601808,
      6.104604319481933,
      5.926207431013378,
      5.7503953708235835,
      5.576922230090863,
      5.405625578365703,
      5.236420799985607,
      5.069287454521501,
      4.904282579466876,
      4.741569434588326,
      4.581414908974143,
      4.424127326358495,
      4.270040906544967,
      4.119519708212647,
      3.972951785220912,
      3.8307170683297564,
      3.6931724478681036,
      3.560639215378722,
      3.433393245835924,
      3.3116581286124553,
      3.1956005147197906,
      3.0853265099975227,
      2.980868977447566,
      2.882189535910277,
      2.7891707868079276,
      2.7016103889916447,
      2.6192590058417893,
      2.541864391980834,
      2.4691639634445126,
      2.400891916542479,
      2.3367809967489745,
      2.2765461431414065,
      2.2198528313365262,
      2.1663227723026637,
      2.1156163682078097,
      2.067404847539826,
      2.0213837194952036,
      1.9772908767532127,
      1.9349173662580883,
      1.8940871162002981,
      1.854654766853188,
      1.8165020394486404,
      1.779523775847959,
      1.7436321911696948,
      1.708756202103303,
      1.6748363344992674,
      1.641821621538027,
      1.6096674467877006,
      1.5783340372277466,
      1.5477854026095894,
      1.5179896404396223,
      1.4889211040677368,
      1.4605581480111165,
      1.432878975556592,
      1.4058610678442878,
      1.3794806458506161,
      1.353715094842955,
      1.3285431078935266,
      1.303944484181757,
      1.2799000308336692,
      1.2563914832829903,
      1.2334014395018238,
      1.2109133018274778,
      1.1889112263317505,
      1.1673800780101569,
      1.146305505190917,
      1.12567477184485,
      1.1054760112542124,
      1.0856980871549566,
      1.0663304695806302,
      1.0473625385114538,
      1.0287836914856734,
      1.0105834862497334,
      0.9927517240244099,
      0.9752784966069166,
      0.9581542102444038,
      0.9413695945435366,
      0.9249157019457321,
      0.9087839024542611,
      0.8929658745124379,
      0.8774535946401048,
      0.8622393256213416,
      0.847315604392426,
      0.8326752306659868,
      0.8183112555840976,
      0.804216969835103,
      0.7903858934322249,
      0.776811765117367,
      0.7634885330627104,
      0.7504103454804851,
      0.7375715419058471,
      0.7249666442589527,
      0.7125903492759698,
      0.7004375212000584,
      0.688503184378707,
      0.6767825165547352,
      0.6652708427940136,
      0.6539636284097592,
      0.642856474404538,
      0.6319451108835781,
      0.621225392562231,
      0.6106932911535803,
      0.600344840614207,
      0.5901761669782022,
      0.5801835318857764,
      0.5703633176880257,
      0.5607120164692749,
      0.5512262222594396,
      0.5419026248262743,
      0.5327380040276389,
      0.523729881141233,
      0.5148762236814642,
      0.5061746796614777,
      0.4976227069711283,
      0.48921766794166793,
      0.48095688974390316,
      0.47283770134745295,
      0.46485745611874824,
      0.4570135457025906,
      0.44930340792858886,
      0.4417245306487069,
      0.4342744544921613,
      0.426950773319888,
      0.4197511339020655,
      0.41267345647476966,
      0.40571586784385355,
      0.3988764055391635,
      0.39215305368181624,
      0.3855437794747181,
      0.37904655566284734,
      0.37265937470222515,
      0.3663802569390483,
      0.3602072557914556,
      0.35413846070090105,
      0.3481721208977243,
      0.3423065771562162,
      0.33654013367086216,
      0.3308710854925611,
      0.32529773491610686,
      0.31981840139106993,
      0.31443142760728243,
      0.30913518332359136,
      0.30392809536439963,
      0.2988086317089689,
      0.2937752733057564,
      0.28882652019532984,
      0.2839608953536681,
      0.2791769464935985,
      0.2744732469058344,
      0.26984839609741673,
      0.2653010108514812,
      0.2608295515490847,
      0.2564324398603605,
      0.2521082254657566,
      0.24785554755431508,
      0.24367311084094812,
      0.23955967013513377,
      0.2355140198577486,
      0.23153498735055833,
      0.2276215501227888,
      0.22377306530806376,
      0.21998880965433937,
      0.21626792903677325,
      0.21260949254606104,
      0.2090125268940334,
      0.20547603862137626,
      0.2019990279716491,
      0.1985804978187083,
      0.19521943038294248,
      0.1919147292062254,
      0.18866533663939708,
      0.18547024853435898,
      0.18232850081649551,
      0.1792391609015682,
      0.17620132209410025,
      0.17321409980913896,
      0.17027662894852483,
      0.1673880622071784,
      0.1645475689987307,
      0.16175433443731715,
      0.1590075586340362,
      0.15630645626787507,
      0.15365025618860667,
      0.15103820101365312,
      0.14846954660868342,
      0.14594356208856848,
      0.14345952931982997,
      0.1410167428095237,
      0.13861450935568367,
      0.13625214780983236,
      0.1339289887087109,
      0.13164437441735677,
      0.1293976585696225,
      0.1271882059997692,
      0.12501539263230127,
      0.12287860498527232,
      0.12077724015802813,
      0.11871070564159465,
      0.11667841906637319,
      0.11467980811538152,
      0.11271431030410733,
      0.110781372658056,
      0.10888045166919748,
      0.10701101310481075,
      0.10517253196157987,
      0.10336449197873553,
      0.1015863857660282,
      0.09983771445802901,
      0.09811798772816588,
      0.09642672374215322,
      0.09476344877155507,
      0.09312769697474736,
      0.0915190104019639,
      0.08993693891305271,
      0.08838103986115103,
      0.08685087820977128,
      0.08534602614169137,
      0.08386606322138566,
      0.08241057596914478,
      0.0809791577813097,
      0.07957140893196668,
      0.07818693646197991,
      0.07682535412106431,
      0.07548628209519061,
      0.07416934686528509,
      0.07287418121247553,
      0.07160042401075305,
      0.07034772019430137,
      0.0691157207150205,
      0.06790408236599109,
      0.06671246765823169,
      0.06554054482619005,
      0.06438798750817734,
      0.06325447475427036,
      0.06213969113102909,
      0.061043326356670514,
      0.05996507540056655,
      0.05890463825841208,
      0.057861719997779566,
      0.05683603062507428,
      0.05582728487534544,
      0.054835202315897585,
      0.05385950718127766,
      0.05289992821679357,
      0.051956198751439246,
      0.05102805650828516,
      0.05011524360033621,
      0.04921750644071199,
      0.04833459564703139,
      0.04746626609212805,
      0.046612276557084845,
      0.04577238987010673,
      0.04494637277756532,
      0.04413399593805889,
      0.04333503378165116,
      0.0425492646098165,
      0.04177647029278286,
      0.04101643631815783,
      0.04026895175776615,
      0.03953380915275485,
      0.038810804567763736,
      0.03809973736911263,
      0.037400410194046725,
      0.03671262906267787,
      0.03603620318157565,
      0.03537094484243477,
      0.03471666959996143,
      0.03407319596552978,
      0.033440345507409014,
      0.03281794268850404,
      0.03220581497672402,
      0.03160379257827914,
      0.03101170852539812,
      0.030429398609663653,
      0.02985670139565578,
      0.02929345815634168,
      0.02873951261560079,
      0.028194711310838543,
      0.02765890319633072,
      0.02713193977197901,
      0.02661367497335934,
      0.02610396510292134,
      0.0256026688851174,
      0.025109647384463567,
      0.024624763901029446,
      0.024147884052729336,
      0.023678875675495297,
      0.02321760875777499,
      0.022763955427979553,
      0.022317790026363537,
      0.02187898901374486,
      0.0214474306980007,
      0.021022995482666233,
      0.020605565831083646,
      0.020195026009762963,
      0.019791262201214105,
      0.0193941625798528,
      0.019003617204502422,
      0.018619517867784735,
      0.01824175818738716,
      0.017870233501003883,
      0.017504840786908938,
      0.017145478705616092,
      0.01679204781973093,
      0.01644445017866074,
      0.016102589501152145,
      0.01576637110934204,
      0.01543570190116335,
      0.015110490297237525,
      0.01479064606609511,
      0.014476080683056492,
      0.014166706970359651,
      0.013862439277040695,
      0.013563193200142898,
      0.013268885991772365,
      0.012979436209132292,
      0.012694763598685911,
      0.012414789277663773,
      0.012139435730038822,
      0.011868626578634788,
      0.011602286832902424,
      0.011340342721676675,
      0.011082721748376094,
      0.01082935250196612,
      0.010580164768817723,
      0.010335089589612812,
      0.010094059135089654,
      0.009857006586315081,
      0.009623863679409884,
      0.009394553006143233,
      0.009168999619569684,
      0.008947134192401974,
      0.008728891339081054,
      0.008514208602597027,
      0.008303025738639572,
      0.00809528425699736,
      0.007890927128107558,
      0.00768989869314467,
      0.0074921443628204526,
      0.007297610568631118,
      0.007106244756333991,
      0.00691799509030369,
      0.006732810835767695,
      0.006550641917594612,
      0.006371439245715508,
      0.006195154445819204,
      0.00602174010236977,
      0.005851149476905898,
      0.005683336585492735,
      0.0055182561263403184,
      0.005355863677337315,
      0.005196115458065893,
      0.005038968374303906,
      0.004884379988709516,
      0.004732308685195267,
      0.004582713499038418,
      0.00443555419798996,
      0.004290791105094746,
      0.0041483850703999655,
      0.0040082976732937065,
      0.003870491256303171,
      0.003734928719937847,
      0.0036015735043624635,
      0.0034703896620714584,
      0.0033413418187368004,
      0.0032143952695566223,
      0.003089515709447476,
      0.0029666695244399063,
      0.002845823615147039,
      0.002726945490154185,
      0.0026100030616612938,
      0.0024949647103995566,
      0.0023817994667832965,
      0.0022704769593465584,
      0.0021609670855867705,
      0.002053240250094943,
      0.0019472674773067424,
      0.0018430201833049928,
      0.0017404702925753004,
      0.0016395901276251882,
      0.0015403525359289404,
      0.0014427307642365596,
      0.001346698569732787,
      0.0012522300342731945,
      0.0011592996536075584,
      0.001067882428096184,
      0.0009779537070644946,
      0.0008894892578144698,
      0.0008024652146496864,
      0.0007168582144415325,
      0.0006326451394042564,
      0.0005498032807426875,
      0.00046831024325285644,
      0.0003881440863720884,
      0.0003092833142924042,
      0.0002317066008491302,
      0.00015539293468351935,
      8.03218421613429e-05,
      6.473046243362781e-06,
      -6.61733078761362e-05,
      -0.0001376368388968013,
      -0.0002079368217992321,
      -0.0002770921619571331,
      -0.0003451214373353667,
      -0.00041204305420166585,
      -0.00047787491867848207,
      -0.0005426349014720155,
      -0.0006063404498350801,
      -0.0006690086563037612,
      -0.0007306564273091231,
      -0.0007913004925849465,
      -0.0008509570826697755,
      -0.0009096422534326382,
      -0.0009673718919301,
      -0.0010241615624222119,
      -0.001080026459350191,
      -0.0011349817978603455,
      -0.0011890423326151465,
      -0.0012422225941676574,
      -0.0012945368503123097,
      -0.0013459992957771,
      -0.0013966237898758633,
      -0.0014464240636789978,
      -0.0014954134557021552,
      -0.0015436051870812272,
      -0.0015910122161497137,
      -0.0016376473338838076,
      -0.0016835230615124415,
      -0.0017286518523109589,
      -0.0017730458669413403,
      -0.0018167170403432164,
      -0.0018596771665481111,
      -0.0019019378562375355,
      -0.0019435104612326656,
      -0.001984406087362361,
      -0.0020246357524916357,
      -0.0020642103343673714,
      -0.0021031406643916054,
      -0.002141437124653384,
      -0.0021791100258297435,
      -0.002216169565139568,
      -0.0022526256881624427,
      -0.002288488248762111,
      -0.0023237669077169542,
      -0.0023584711263448526,
      -0.0023926103115937836,
      -0.0024261935792964442,
      -0.0024592299363449042,
      -0.0024917283547639525,
      -0.0025236975774520485,
      -0.0025551462543791773,
      -0.0025860828621059994,
      -0.002616515762328174,
      -0.002646453183973309,
      -0.002675903204631107,
      -0.0027048736802376986,
      -0.002733372486191108,
      -0.002761407255442633,
      -0.002788985453044538,
      -0.0028161145644419743,
      -0.0028428019467554595,
      -0.0028690547431795077,
      -0.0028948801147052864
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334541878421032,
      10.09291788155731,
      9.844716099104064,
      9.592796755301517,
      9.339705107952492,
      9.087632396633339,
      8.83839958849863,
      8.593452690272109,
      8.353855833841264,
      8.120311139498854,
      7.893195779528593,
      7.672609343632082,
      7.458426907699276,
      7.250353339290768,
      7.047975205113304,
      6.85080775380458,
      6.658335561189551,
      6.470046607443418,
      6.285458892350194,
      6.104140387761365,
      5.925719983516211,
      5.749885419139919,
      5.576391061355006,
      5.405074705983716,
      5.235851880163178,
      5.068702299067785,
      4.903683431742746,
      4.740959422590432,
      4.580797481281882,
      4.423505953623247,
      4.269419063525598,
      4.1189010610074135,
      3.9723399249850675,
      3.830115354654593,
      3.69258398044576,
      3.5600667940123345,
      3.432839327039506,
      3.31112483196422,
      3.195089589887108,
      3.0848392145597776,
      2.980405978061295,
      2.881750904064335,
      2.788756092948598,
      2.7012185508928077,
      2.618888547397576,
      2.5415137418730644,
      2.4688313849194916,
      2.400575593963265,
      2.3364791312721493,
      2.27625691689326,
      2.21957390473017,
      2.166051901968699,
      2.1153515199610995,
      2.0671440916341552,
      2.021125419114483,
      1.9770337908616318,
      1.934660575860295,
      1.8938299416065145,
      1.8543967282875349,
      1.8162427418492724,
      1.7792628031665734,
      1.7433691757426697,
      1.7084909084166406,
      1.6745686180229826,
      1.6415514008187624,
      1.609394683472216,
      1.578058722071027,
      1.5475075471339146,
      1.5177094412420042,
      1.488639004606056,
      1.4602745443017848,
      1.432594141185181,
      1.4055752040216074,
      1.3791939262270176,
      1.3534276478958334,
      1.3282550267420974,
      1.3036558391947461,
      1.2796108775505688,
      1.25610186819035,
      1.2331114025450356,
      1.2106228786591726,
      1.188620450498606,
      1.1670889820121169,
      1.1460141301778781,
      1.1253831715260016,
      1.1051842358738673,
      1.0854063091992878,
      1.0660388574624255,
      1.0470712070036308,
      1.0284927214438848,
      1.0102929362334299,
      0.9924616383584195,
      0.9749889103009962,
      0.9578651524073178,
      0.9410810903973318,
      0.9246277746141812,
      0.9084965735118948,
      0.8926791646175302,
      0.8771675232358396,
      0.8619539116883775,
      0.8470308668819522,
      0.832391188206558,
      0.8180279265304305,
      0.8039343726095376,
      0.7901040461912319,
      0.7765306861950191,
      0.7632082403078537,
      0.75013085649693,
      0.7372928738481854,
      0.724688814201352,
      0.7123133740355282,
      0.7001614173521106,
      0.6882279681342119,
      0.6765082039828588,
      0.6649974493727258,
      0.6536911694813348,
      0.6425849650871145,
      0.631674565972813,
      0.620955826728835,
      0.6104247183176061,
      0.6000772738938045,
      0.5899096193146842,
      0.5799180159988523,
      0.5700988461242347,
      0.5604486018208674,
      0.5509638768922183,
      0.5416413604983853,
      0.5324778539052102,
      0.5234709484920467,
      0.5146185926683463,
      0.5059184050234473,
      0.49736782419225845,
      0.4889642005775891,
      0.4807048538271391,
      0.4725871078536947,
      0.46460831282481035,
      0.4567658581373605,
      0.449057179852566,
      0.441479765005468,
      0.434031153486117,
      0.42670893871593824,
      0.4195107670127919,
      0.4124345817772824,
      0.4054785102906423,
      0.398640580316836,
      0.39191876925707697,
      0.38531104015458756,
      0.37881536337209815,
      0.37242972942590585,
      0.36615215766293857,
      0.359980700544451,
      0.3539134520329624,
      0.3479486676882855,
      0.34208468317923624,
      0.336319799640343,
      0.3306523100871443,
      0.3250805154243011,
      0.319602734157412,
      0.31421730837032114,
      0.30892260833678553,
      0.3037170617932457,
      0.298599135572262,
      0.293567309865385,
      0.28862008427781227,
      0.28375598119642514,
      0.27897354786705547,
      0.2742713575875431,
      0.26964800960651747,
      0.2651021225326401,
      0.26063215946812934,
      0.25623654013364816,
      0.25191381302704474,
      0.24766261671077305,
      0.24348165553277218,
      0.23936968387447255,
      0.2353254957914716,
      0.23134791844734354,
      0.22743592094939447,
      0.2235888598914183,
      0.21980601499887598,
      0.2160865339347017,
      0.21242948699087646,
      0.20883390166265256,
      0.20529878484575134,
      0.20182313700309465,
      0.19840596120622264,
      0.19504623541175098,
      0.19174286307032629,
      0.18849478827004545,
      0.18530100800605223,
      0.18216055874313355,
      0.17907250834311575,
      0.17603595034970124,
      0.1730500002800592,
      0.17011379319185785,
      0.16722648180489277,
      0.16438723552137305,
      0.16159523947729293,
      0.15884969383810593,
      0.15614981323591676,
      0.15349482640347248,
      0.15088397590960398,
      0.14831651767141477,
      0.14579172073177984,
      0.143308867028608,
      0.1408672510032676,
      0.13846617936523853,
      0.13610497083450487,
      0.13378295607773416,
      0.13149947750179927,
      0.12925388877008648,
      0.12704555456873848,
      0.12487385073066874,
      0.12273816387198046,
      0.12063789113782857,
      0.11857244007016389,
      0.11654122826622919,
      0.11454368333585588,
      0.11257924275691172,
      0.11064735362901179,
      0.10874747245828298,
      0.10687906504866287,
      0.10504160630932685,
      0.10323458000949322,
      0.10145747882947762,
      0.09970980400899576,
      0.0979910653167964,
      0.0963007808134007,
      0.09463847657875413,
      0.09300368686741872,
      0.09139595394852401,
      0.0898148276295421,
      0.08825986531525642,
      0.08673063191804044,
      0.08522669979084405,
      0.08374764833656274,
      0.08229306406201851,
      0.08086254056464756,
      0.07945567810522511,
      0.07807208386921949,
      0.07671137156554651,
      0.0753731612716326,
      0.07405707959997783,
      0.07276275940799858,
      0.07148983958455735,
      0.07023796513501841,
      0.06900678700523484,
      0.0677959620703698,
      0.06660515280520968,
      0.06543402747718427,
      0.06428225974373024,
      0.06314952881660227,
      0.06203551926152453,
      0.06093992085268355,
      0.059862428653402605,
      0.058802742772586916,
      0.05776056828989027,
      0.05673561517963363,
      0.0557275982946533,
      0.054736237117157055,
      0.05376125592114537,
      0.05280238360619659,
      0.05185935353262746,
      0.050931903497422513,
      0.05001977562185723,
      0.04912271630022198,
      0.04824047629160668,
      0.047372810449625484,
      0.046519477627061864,
      0.045680240684284515,
      0.04485486652284144,
      0.04404312578398753,
      0.043244793029284016,
      0.04245964649425922,
      0.04168746814504167,
      0.04092804356481347,
      0.04018116182908523,
      0.039446615524164244,
      0.03872420070613829,
      0.03801371682228128,
      0.0373149666898246,
      0.03662775630006998,
      0.03595189494022655,
      0.03528719499045562,
      0.03463347193657532,
      0.033990544356405805,
      0.033358233860644446,
      0.03273636509663721,
      0.032124765515619796,
      0.031523265265209176,
      0.030931697499501466,
      0.03034989812182164,
      0.029777705665288923,
      0.029214961457348157,
      0.02866150945125936,
      0.0281171960615433,
      0.02758187032709564,
      0.027055383766097958,
      0.02653759032382082,
      0.02602834635452327,
      0.025527510651567515,
      0.025034944308284336,
      0.024550510734530923,
      0.024074075573789523,
      0.023605506801025248,
      0.023144674562061634,
      0.02269145090067717,
      0.02224571025676587,
      0.02180732896796678,
      0.021376185485620567,
      0.02095216024869909,
      0.020535135717768417,
      0.020124996296822562,
      0.019721628223772478,
      0.01932491973563862,
      0.018934760834164215,
      0.018551043344781797,
      0.01817366097641539,
      0.017802509051060282,
      0.017437484634435743,
      0.017078486590566863,
      0.016725415350911644,
      0.016378173052180825,
      0.0160366635086971,
      0.015700791981866184,
      0.015370465394030065,
      0.015045592249981471,
      0.014726082557902273,
      0.014411847680214822,
      0.014102800514176594,
      0.013798855398144011,
      0.013499928081320556,
      0.013205935711199986,
      0.01291679682684557,
      0.012632431268431712,
      0.01235276018728519,
      0.012077706041854892,
      0.011807192656311317,
      0.011541145144356581,
      0.01127948974286136,
      0.011022153897560304,
      0.010769066258548279,
      0.01052015676916584,
      0.010275356454931108,
      0.010034597394702235,
      0.00979781291850182,
      0.009564937339461212,
      0.009335906160650777,
      0.009110655949292395,
      0.00888912426585942,
      0.008671249718154792,
      0.008456971911078389,
      0.008246231534343399,
      0.00803897007870368,
      0.00783513010886159,
      0.007634655203572,
      0.007437489804095478,
      0.007243571682637945,
      0.007052835436675498,
      0.006865221017094622,
      0.006680672385029875,
      0.00649913619817864,
      0.00632056099714073,
      0.0061448971499919545,
      0.0059720962056840805,
      0.005802110952336041,
      0.005634895072671205,
      0.005470403305888701,
      0.005308591009166839,
      0.005149414472304099,
      0.004992830682416714,
      0.004838797352559882,
      0.0046872729018465386,
      0.004538216451439875,
      0.004391587823099537,
      0.0042473474384136225,
      0.004105456341912033,
      0.00396587635981507,
      0.003828569810134897,
      0.0036934996474292585,
      0.0035606294128137407,
      0.0034299232816985873,
      0.003301346018457119,
      0.0031748629910245242,
      0.0030504400346775,
      0.002928043667976732,
      0.002807640884899951,
      0.002689199114312132,
      0.0025726865248470922,
      0.0024580717343799514,
      0.002345323718683614,
      0.0022344120649388653,
      0.0021253068587936816,
      0.002017978751281181,
      0.0019123987419496183,
      0.0018085384020645,
      0.0017063696866225714,
      0.0016058650216617414,
      0.0015069972784936929,
      0.001409739858058204,
      0.0013140665994364415,
      0.0012199516388279887,
      0.0011273695241877273,
      0.0010362952618336609,
      0.0009467043645040107,
      0.0008585726725325789,
      0.0007718764689298807,
      0.0006865923672198763,
      0.0006026973214080007,
      0.0005201687454348309,
      0.00043898432273081057,
      0.0003591222174528985,
      0.00028056082335950016,
      0.00020327898469403615,
      0.00012725578544947,
      5.247077275081687e-05,
      -2.1096116927107607e-05,
      -9.346478937955449e-05,
      -0.00016465468911591426,
      -0.00023468499014108477,
      -0.0003035746012148957,
      -0.0003713422212347477,
      -0.000438006081543404,
      -0.0005035841704556948,
      -0.0005680941193109202,
      -0.0006315533478160013,
      -0.0006939790310380231,
      -0.0007553879630332249,
      -0.0008157967182643532,
      -0.0008752215257875806,
      -0.0009336783839100185,
      -0.0009911831420960952,
      -0.0010477513404468968,
      -0.001103398181770912,
      -0.0011581386102599443,
      -0.0012119875165685092,
      -0.001264959420883642,
      -0.001317068561716229,
      -0.001368329002849317,
      -0.0014187545039574864,
      -0.001468358650878301,
      -0.0015171549154961261,
      -0.0015651563713442193,
      -0.0016123759740620013,
      -0.0016588265039752881,
      -0.0017045204763387234,
      -0.0017494702097143482,
      -0.001793687842467846,
      -0.001837185253146407,
      -0.0018799741261022098,
      -0.0019220661311335758,
      -0.0019634726257263674,
      -0.002004204782341502,
      -0.0020442735750331323,
      -0.002083689612635915,
      -0.0021224635747825273,
      -0.0021606059993740105,
      -0.002198127120310898,
      -0.0022350371050026178,
      -0.00227134591618982,
      -0.002307063319114488,
      -0.0023421990091356984,
      -0.002376762458673471,
      -0.0024107630181919226,
      -0.00244420980647096,
      -0.002477111835740655,
      -0.0025094779513609826,
      -0.002541316911159773,
      -0.002572637267197068,
      -0.002603447513869156,
      -0.0026337559684724734,
      -0.002663570829307913,
      -0.002692900055305084,
      -0.0027217515053217707,
      -0.0027501330327410712,
      -0.0027780522616837537,
      -0.0028055167250974765,
      -0.002832533894483975,
      -0.0028591110310726524,
      -0.0028852552459979605,
      -0.002910973611049691
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334537691219536,
      10.092904276663191,
      9.844687600825258,
      9.592748492131255,
      9.339633653998135,
      9.087535439954632,
      8.838275820724595,
      8.593301507327803,
      8.353677074882171,
      8.120104928893934,
      7.892962400270893,
      7.672349143471456,
      7.458140237996372,
      7.2500405249422615,
      7.04763653751621,
      6.850443498712029,
      6.657945978287133,
      6.469631970488284,
      6.285019547341115,
      6.103676834644372,
      5.925232938551105,
      5.749375904576855,
      5.575860362451849,
      5.404524333325051,
      5.235283486113389,
      5.068117691150402,
      4.903084849724284,
      4.74034999290786,
      4.580180649556396,
      4.422885187912762,
      4.268797838443359,
      4.118283049789039,
      3.971728711312102,
      3.8295142913906224,
      3.691996162149534,
      3.559495015269016,
      3.432286038111525,
      3.310592132421569,
      3.194579226057734,
      3.0843524424950584,
      2.9799434628273027,
      2.8813127161604895,
      2.788341803692451,
      2.700827079540397,
      2.6185184201504206,
      2.541163390645854,
      2.4684990668415123,
      2.4002594979706244,
      2.3361774628247205,
      2.2759678615060324,
      2.2192951257030846,
      2.1657811588163516,
      2.1150867681688403,
      2.06688339541914,
      2.0208671533151215,
      1.9767767228939708,
      1.9344037932008062,
      1.8935727691694468,
      1.854138689175985,
      1.8159834427600583,
      1.7790018304415105,
      1.7431061633892986,
      1.7082256223807855,
      1.6743009147686654,
      1.6412811989128477,
      1.6091219445757263,
      1.5777834375083326,
      1.5472297273662292,
      1.5174292822617654,
      1.4883569504876717,
      1.4599909911212994,
      1.4323093625925947,
      1.4052894010445263,
      1.378907271628542,
      1.353140270394057,
      1.3279670201650098,
      1.3033672737163133,
      1.2793218084775266,
      1.255812341026885,
      1.2328214572850775,
      1.2103325514244112,
      1.1883297749132058,
      1.1667979898042602,
      1.1457228623008282,
      1.1250916813045817,
      1.1048925976989246,
      1.0851147054207508,
      1.0657474428328693,
      1.046780087578388,
      1.0282019712885295,
      1.0100026094392442,
      0.9921717762813094,
      0.9746995465266858,
      0.9575763151942281,
      0.9407928045362105,
      0.9243400626048193,
      0.9082094564149112,
      0.89239266268576,
      0.8768816564278674,
      0.8616686992514732,
      0.8467463276833312,
      0.832107340948301,
      0.8177447894929344,
      0.8036519638389473,
      0.7898223838267657,
      0.7762497881729709,
      0.7629281245627558,
      0.7498515404637528,
      0.737014374613598,
      0.7244111486421191,
      0.7120365589971216,
      0.6998854693075078,
      0.6879529032640633,
      0.6762340381432881,
      0.6647241980259957,
      0.6534188481261098,
      0.6423135887367023,
      0.631404149540319,
      0.620686384485982,
      0.6101562639296647,
      0.5998098204943293,
      0.5896431801045058,
      0.5796526041253126,
      0.5698344744001851,
      0.5601852825367803,
      0.5507016222555514,
      0.5413801823530551,
      0.532217806829326,
      0.5232121446924662,
      0.5143611042263307,
      0.5056622788967966,
      0.4971130912898371,
      0.48871088159419596,
      0.4804529626725746,
      0.4723366541878916,
      0.46435930352923455,
      0.4565182981608879,
      0.44881107309569057,
      0.4412351145083332,
      0.4337879616088691,
      0.42646720685288836,
      0.41927050145347733,
      0.4121958093055488,
      0.40524125265199545,
      0.39840485040173174,
      0.39168457467302287,
      0.3850783846633885,
      0.37858424820776426,
      0.3722001545737746,
      0.3659241219855961,
      0.35975420223087007,
      0.3536884937711054,
      0.3477252583976024,
      0.3418628265508637,
      0.3360994962454758,
      0.330433558464434,
      0.32486331287675696,
      0.31938707693139967,
      0.31400319205683436,
      0.3087100291194188,
      0.3035060168825297,
      0.2983896211209991,
      0.2933593211942881,
      0.2884136160820292,
      0.2835510278749277,
      0.27877010360709376,
      0.2740694161023843,
      0.26944756428921707,
      0.2649031687177903,
      0.2604346951109248,
      0.25604056148215365,
      0.2517193150966895,
      0.2474695938792097,
      0.2432901016215577,
      0.23917959227806113,
      0.23513685962852415,
      0.23116073073494606,
      0.22725016967585532,
      0.22340452774530736,
      0.2196230882666501,
      0.21590500123021644,
      0.2122493381211369,
      0.2086551271587176,
      0.2051213758382477,
      0.20164708489546018,
      0.19823125756477367,
      0.19487286760601652,
      0.19157081824179464,
      0.1883240554025966,
      0.18513157707712177,
      0.18199242052721917,
      0.1789056539497607,
      0.17587037118214205,
      0.1728856878667541,
      0.1699507390816061,
      0.1670646776775139,
      0.164226673088425,
      0.16143591037573465,
      0.15869158952944412,
      0.15599292524128072,
      0.15333914627109257,
      0.150729495194935,
      0.14816322789081182,
      0.1456396133728975,
      0.14315793344591968,
      0.14071748253528119,
      0.1383175674317259,
      0.1359575068940178,
      0.13363663157859385,
      0.13135428369864546,
      0.12910981686402645,
      0.1269025959104529,
      0.12473199662929924,
      0.12259740570259453,
      0.12049822025160492,
      0.11843384776777932,
      0.11640370582793745,
      0.11440722213400895,
      0.11244383413942269,
      0.11051298898716584,
      0.1086141431796155,
      0.10674676240633807,
      0.10491032162416668,
      0.10310430463387374,
      0.10132820418847105,
      0.09958152149502171,
      0.0978637662414299,
      0.09617445663243054,
      0.0945131188435179,
      0.09287928713219697,
      0.09127250367772309,
      0.08969231835890855,
      0.08813828860953803,
      0.08660997939212924,
      0.08510696294658329,
      0.08362881876166128,
      0.08217513349547363,
      0.08074550068587527,
      0.07933952069193459,
      0.07795680069466206,
      0.07659695445483243,
      0.07525960219280706,
      0.07394437038682766,
      0.07265089187667984,
      0.07137880559578207,
      0.07012775669766548,
      0.06889739629172338,
      0.06768738120978855,
      0.06649737390821993,
      0.06532704256863497,
      0.06417606105119829,
      0.06304410855050466,
      0.06193086962757845,
      0.060836034283662084,
      0.05975929755486292,
      0.05870035951688028,
      0.05765892529559371,
      0.05663470498157476,
      0.0556274134205849,
      0.05463677031078297,
      0.053662499876200954,
      0.05270433099287326,
      0.05176199708745592,
      0.05083523604662898,
      0.049923790079735575,
      0.049027405696175315,
      0.048145833517760035,
      0.04727882842166889,
      0.046426149374639764,
      0.04558755938496115,
      0.044762825329700696,
      0.043951717859757065,
      0.04315401160628955,
      0.042369484870547564,
      0.04159791978605421,
      0.04083910179204178,
      0.04009282007755717,
      0.039358867317020096,
      0.03863703966477979,
      0.03792713659097391,
      0.0372289608920978,
      0.03654231867326094,
      0.03586701926679933,
      0.03520287509308038,
      0.03454970172422913,
      0.03390731780074703,
      0.03327554495376818,
      0.03265420777054267,
      0.03204313377141643,
      0.031442153379015104,
      0.03085109964385515,
      0.030269808565766915,
      0.029698118726897784,
      0.029135871366946817,
      0.02858291057089835,
      0.028039082748591897,
      0.0275042370395485,
      0.026978225130221356,
      0.02646090098579895,
      0.025952120985306238,
      0.025451743856082613,
      0.024959630833588542,
      0.024475645480989867,
      0.023999653479966132,
      0.023531522722111824,
      0.023071123224429627,
      0.02261832734580005,
      0.02217300949728781,
      0.021735046095613265,
      0.021304315639387013,
      0.020880698519451735,
      0.020464077237350112,
      0.020054336371737747,
      0.01965136219585803,
      0.019255042925770013,
      0.01886526871495402,
      0.01848193140197363,
      0.018104924659380683,
      0.017734143844133993,
      0.01736948619830893,
      0.017010850516456937,
      0.016658137257706252,
      0.0163112486519601,
      0.015970088570999248,
      0.015634562406158466,
      0.015304577104705048,
      0.0149800410786036,
      0.014660864290577908,
      0.014346958212683352,
      0.01403823582307287,
      0.013734611531792772,
      0.013436001169502717,
      0.013142321950139995,
      0.012853492451537833,
      0.012569432525216955,
      0.012290063395524659,
      0.012015307566823494,
      0.011745088875815685,
      0.011479332332836155,
      0.011217964247575407,
      0.010960912137014948,
      0.010708104791114925,
      0.010459472146124593,
      0.01021494526423644,
      0.009974456209336548,
      0.009737938372102335,
      0.009505326221481791,
      0.009276555193687377,
      0.009051561865345668,
      0.008830283869775938,
      0.008612659843378157,
      0.00839862943284859,
      0.00818813324901037,
      0.007981112990221964,
      0.007777511213593313,
      0.007577271440227723,
      0.007380338219965504,
      0.007186656977363436,
      0.006996173962800623,
      0.006808836455223219,
      0.00662459241511246,
      0.006443390681121289,
      0.0062651811000280465,
      0.006089914234496129,
      0.005917541468020715,
      0.005748015094065954,
      0.0055812881089038185,
      0.0054173141362216445,
      0.005256047881763168,
      0.0050974432378662615,
      0.004941448153291029,
      0.004788011190999645,
      0.004637084862218259,
      0.004488624492088599,
      0.004342587446480551,
      0.004198932748632027,
      0.004057620542905546,
      0.003918611906715749,
      0.003781868901224082,
      0.003647354378014873,
      0.003515031788668552,
      0.003384865352914168,
      0.0032568198802919177,
      0.0031308605363579056,
      0.0030069534885284422,
      0.0028850652068812864,
      0.0027651627908942726,
      0.0026472138654325735,
      0.002531186644623066,
      0.0024170497944155283,
      0.0023047726021109037,
      0.002194324747659756,
      0.0020856762991042117,
      0.0019787979768812443,
      0.0018736609750805687,
      0.0017702369756517104,
      0.0016684980183099885,
      0.0015684166386627544,
      0.0014699658113428275,
      0.0013731190475733117,
      0.0012778501256889042,
      0.0011841332997171313,
      0.0010919433195032517,
      0.0010012554458740579,
      0.0009120452199432624,
      0.0008242885325759849,
      0.0007379616059748396,
      0.0006530411358884891,
      0.0005695041172069336,
      0.00048732812894790886,
      0.0004064909919797145,
      0.00032697081536060455,
      0.00024874619678175614,
      0.0001717960557227085,
      9.609969063081559e-05,
      2.1636716961897425e-05,
      -5.161301952778367e-05,
      -0.00012366943264211785,
      -0.00019455194310834825,
      -0.00026427961874576293,
      -0.0003328711915767623,
      -0.00040034520807256545,
      -0.00046671993009959347,
      -0.0005320133176688695,
      -0.0005962429529995289,
      -0.0006594261095583472,
      -0.0007215798899731541,
      -0.0007827210449329986,
      -0.0008428660390845833,
      -0.0009020310136355089,
      -0.000960232015592508,
      -0.0010174847613580865,
      -0.0010738046985549058,
      -0.001129207022105182,
      -0.0011837067912368003,
      -0.0012373187341882385,
      -0.0012900572105663608,
      -0.0013419363948997038,
      -0.0013929703640916161,
      -0.0014431728728776998,
      -0.001492557350465726,
      -0.001541137188696806,
      -0.0015889254955573108,
      -0.0016359352359261582,
      -0.001682179097718525,
      -0.0017276695736723623,
      -0.001772418921301662,
      -0.00181643914739524,
      -0.0018597421632737831,
      -0.001902339653584417,
      -0.0019442431220022126,
      -0.0019854638091334376,
      -0.0020260129403676668,
      -0.0020659014963815767,
      -0.0021051401862763014,
      -0.0021437395594003207,
      -0.0021817100789017115,
      -0.0022190619591178334,
      -0.0022558053391217633,
      -0.002291950087283795,
      -0.0023275058527880877,
      -0.002362482306961223,
      -0.002396888914148171,
      -0.002430734943292179,
      -0.0024640296445337015,
      -0.002496781852663594,
      -0.0025290004419141958,
      -0.0025606940871738043,
      -0.002591871393443258,
      -0.002622540681318897,
      -0.0026527102363751815,
      -0.0026823882587034107,
      -0.0027115828379063035,
      -0.0027403018003857808,
      -0.0027685528164412354,
      -0.002796343608455177,
      -0.002823681605931917,
      -0.002850574203781793,
      -0.002877028619341744,
      -0.002903052041824749,
      -0.0029286514440240658
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334533513170506,
      10.09289070134049,
      9.844659163834928,
      9.592700329082328,
      9.339562346114535,
      9.087438678633161,
      8.83815230299125,
      8.593150632052563,
      8.353498681800112,
      8.119899140747513,
      7.892729497227695,
      7.672089472799344,
      7.4578541527787285,
      7.249728350998577,
      7.04729856407651,
      6.850079991149743,
      6.657557198378694,
      6.469218192564976,
      6.284581118702916,
      6.10321425643345,
      5.924746926607803,
      5.7488674772759385,
      5.5753308013447995,
      5.403975145363581,
      5.234716322342145,
      5.06753435780714,
      4.902487584068182,
      4.739741916602064,
      4.579565202492626,
      4.4222658321910036,
      4.268178044065586,
      4.117666484369276,
      3.9711189515141694,
      3.8289146829412166,
      3.691409791222048,
      3.558924668665304,
      3.4317341596586077,
      3.310060815216774,
      3.194070210975071,
      3.083866980160544,
      2.9794822136399204,
      2.8808757478763294,
      2.787928686019139,
      2.7004367327348304,
      2.618149372474828,
      2.540814075825413,
      2.4681677148490646,
      2.39994430477473,
      2.335876640872694,
      2.275679603580585,
      2.2190171031680737,
      2.1655111378706224,
      2.1148227111732107,
      2.066623373289752,
      2.020609545079485,
      1.9765202996699844,
      1.9341476456524866,
      1.8933162241093089,
      1.8538812706129582,
      1.8157247594092976,
      1.7787414706762503,
      1.7428437628493372,
      1.7079609478592013,
      1.6740338232464957,
      1.641011609548689,
      1.608849819237297,
      1.5775087673909276,
      1.5469525240924238,
      1.5171497430538678,
      1.4880755192938269,
      1.459708063501475,
      1.4320252111888572,
      1.4050042269604912,
      1.3786212482270916,
      1.3528535255324374,
      1.3276796466706804,
      1.3030793416891042,
      1.2790333734646924,
      1.2555234492394538,
      1.2325321482615992,
      1.2100428606338591,
      1.188039735483316,
      1.1665076330706434,
      1.1454322285184888,
      1.124800824267331,
      1.1046016303086192,
      1.084823826175095,
      1.0654567849821899,
      1.046489743419456,
      1.0279120069143792,
      1.0097130735859416,
      0.9918827074542788,
      0.9744109758211799,
      0.9572882690888932,
      0.9405053065434099,
      0.9240531342901317,
      0.9079231182453904,
      0.8921069343526545,
      0.8765965571534424,
      0.8613842482339188,
      0.8464625438660338,
      0.8318242430298163,
      0.8174623961272158,
      0.8033702932114493,
      0.7895414536749135,
      0.7759696159971722,
      0.7626487276973302,
      0.7495729364409933,
      0.7367365807284811,
      0.7241341818619396,
      0.7117604360369623,
      0.6996102065164365,
      0.6876785168310607,
      0.675960543961714,
      0.6644516118022656,
      0.6531471854523955,
      0.6420428645950703,
      0.6311343785329849,
      0.6204175810821226,
      0.6098884419137922,
      0.5995429929388763,
      0.5893773599937298,
      0.5793878043094007,
      0.5695707077447163,
      0.5599225616070619,
      0.5504399589165243,
      0.5411195885303933,
      0.5319583374026856,
      0.5229539117290957,
      0.5141041797089808,
      0.5054067096746258,
      0.4968589082788215,
      0.48845810540822066,
      0.48020160735649575,
      0.4720867294982648,
      0.46411081638035473,
      0.45627125357160053,
      0.448565474793851,
      0.44099096519431424,
      0.43354526348985467,
      0.42622596181425115,
      0.41903072315128037,
      0.4119575271958083,
      0.40500448460830046,
      0.3981696071779742,
      0.3914508622205478,
      0.38484620594354224,
      0.3783536040996055,
      0.37197104449005575,
      0.3656965443780819,
      0.3595281547321798,
      0.35346397887405345,
      0.34750228504655556,
      0.341641398910564,
      0.33587961516229636,
      0.3302152226308785,
      0.3246465194253247,
      0.3191718223250202,
      0.3137894720831887,
      0.30849783997424607,
      0.3032953557947735,
      0.29818048406457076,
      0.2931517033159912,
      0.28820751202214,
      0.28334643198172377,
      0.27856700991859484,
      0.27386781849072794,
      0.2692474565896525,
      0.2647045463045128,
      0.2602375558692095,
      0.2558449016964671,
      0.2515251300013436,
      0.24727687789749536,
      0.24309884861308073,
      0.23898979578220494,
      0.23494851304160416,
      0.2309738270274852,
      0.22706469730492407,
      0.22322046929076,
      0.21944042983729836,
      0.21572373102729286,
      0.2120694458747136,
      0.2084766035563119,
      0.20494421198129287,
      0.2014712722778626,
      0.19805678761917497,
      0.19469972771256716,
      0.19139899565914315,
      0.1881535390585233,
      0.1849623569741147,
      0.18182448738015955,
      0.17873899897832676,
      0.1757049857770866,
      0.17272156357439966,
      0.1697878674476765,
      0.16690305028786867,
      0.1640662815710201,
      0.16127674644666085,
      0.15853364487342103,
      0.15583619146762945,
      0.1531836149578784,
      0.1505751579195876,
      0.14801007616512227,
      0.14548763872995163,
      0.14300712735463927,
      0.14056783642867904,
      0.1381690727286838,
      0.13581015489908493,
      0.13349041369325015,
      0.13120919125042232,
      0.1289658411831239,
      0.12675972842541686,
      0.12459022885430016,
      0.1224567290466165,
      0.1203586260367939,
      0.11829532729179651,
      0.11626625048318573,
      0.11427082327227218,
      0.1123084829490793,
      0.11037867665556864,
      0.10848086106162348,
      0.10661450202783501,
      0.10477907443172979,
      0.1029740621318171,
      0.10119895781500103,
      0.09945326278444178,
      0.09773648677017424,
      0.09604814774832628,
      0.09438777210075035,
      0.0927548940841106,
      0.09114905577752963,
      0.08956980705079841,
      0.08801670548955356,
      0.08648931605442081,
      0.0849872111575077,
      0.0835099702746318,
      0.08205717997714385,
      0.08062843388044195,
      0.0792233324996436,
      0.07784148299002813,
      0.07648249897455037,
      0.07514600074443552,
      0.07383161490800884,
      0.07253897438670767,
      0.07126771822363713,
      0.07001749149430148,
      0.06878794516894275,
      0.06757873614891122,
      0.06638952708961149,
      0.0652199863109642,
      0.06406978752523586,
      0.06293861003962005,
      0.06182613850838405,
      0.06073206283857278,
      0.05965607818836251,
      0.058597884733168876,
      0.0575571876004231,
      0.05653369690850554,
      0.055527127521743685,
      0.05453719917013703,
      0.053563636176945206,
      0.05260616752171609,
      0.05166452664038816,
      0.050738451449487555,
      0.049827684208607975,
      0.048931971488383096,
      0.04805106398018111,
      0.04718471664531926,
      0.04633268849245526,
      0.04549474247575043,
      0.044670645483727865,
      0.04386016842617507,
      0.04306308593525184,
      0.04227917634823895,
      0.04150822166600937,
      0.040750007497232316,
      0.04000432304751154,
      0.0392709611070423,
      0.038549717828673835,
      0.03784039284076372,
      0.0371427889593527,
      0.03645671225955425,
      0.03578197215920501,
      0.03511838130574245,
      0.034465755125271745,
      0.033823912305034336,
      0.03319267453105323,
      0.032571866403165874,
      0.03196131550726263,
      0.03136085230835121,
      0.030770309991106717,
      0.030189524527303682,
      0.029618334626415624,
      0.02905658183719278,
      0.02850411000467953,
      0.027960765627089858,
      0.027426397821730727,
      0.02690085821866591,
      0.026384000908518793,
      0.025875682495252853,
      0.025375761732612055,
      0.02488409986219162,
      0.0244005603885647,
      0.023925009066899927,
      0.023457313892862104,
      0.022997345031388866,
      0.02254497479831132,
      0.02210007749759372,
      0.021662529724429,
      0.021232210015602514,
      0.020808999029420495,
      0.020392779179663305,
      0.019983434996131567,
      0.01958085285651679,
      0.019184920986856497,
      0.01879552951336987,
      0.01841257045192393,
      0.018035937462916415,
      0.017665525988329434,
      0.017301233134245187,
      0.01694295793596928,
      0.016590600853787288,
      0.016244064369199344,
      0.01590325210620279,
      0.015568069560713698,
      0.015238423640686935,
      0.014914222956721955,
      0.014595377527080164,
      0.014281798870357323,
      0.013973400040293552,
      0.013670095456356678,
      0.013371800918319274,
      0.013078433695758215,
      0.012789912254497101,
      0.012506156560332861,
      0.012227087949614657,
      0.011952628877862241,
      0.011682703226392983,
      0.011417236239186732,
      0.01115615420323636,
      0.010899384694032548,
      0.010646856458916486,
      0.010398499524245068,
      0.010154244742563866,
      0.00991402447576775,
      0.00967777204314429,
      0.009445421988138228,
      0.00921690984671482,
      0.008992172180715846,
      0.008771146659863019,
      0.008553771944339376,
      0.008339987654018855,
      0.00812973455145713,
      0.007922954321979207,
      0.0077195895803932055,
      0.007519584008459024,
      0.007322882019071773,
      0.007129429047354212,
      0.006939171298094758,
      0.0067520561073768255,
      0.006568031646682963,
      0.006387046725836732,
      0.006209051177405448,
      0.006033995729887808,
      0.005861831801338527,
      0.00569251159519408,
      0.005525988071605119,
      0.005362215068265503,
      0.005201147061741551,
      0.005042739421649399,
      0.00488694824796948,
      0.004733730370526686,
      0.004583043224161733,
      0.004434845056990205,
      0.004289094709067926,
      0.00414575185829811,
      0.004004776588197693,
      0.003866129816777683,
      0.0037297731047376743,
      0.0035956686129170793,
      0.0034637791891174927,
      0.003334068228424267,
      0.00320649982228482,
      0.0030810385347285847,
      0.0029576495306475954,
      0.002836298000342985,
      0.0027169447928252132,
      0.0025995501677537622,
      0.0024840775128837,
      0.0023704924876213978,
      0.002258762284074991,
      0.002148855473021586,
      0.0020407414352316415,
      0.0019343902921470722,
      0.0018297730303566402,
      0.0017268612414061595,
      0.0016256269276254994,
      0.0015260426274463924,
      0.0014280814350736979,
      0.0013317168628221038,
      0.0012369228264081063,
      0.001143673694991512,
      0.0010519444070113718,
      0.0009617100663547416,
      0.0008729463790297992,
      0.0007856293732244114,
      0.0006997354261731807,
      0.0006152413686048288,
      0.000532124298326312,
      0.0004503618019931914,
      0.00036993182886421917,
      0.00029081264890955315,
      0.00021298285017274098,
      0.000136421509050621,
      6.110789203779176e-05,
      -1.297830771909708e-05,
      -8.585710743550564e-05,
      -0.00015754807135110957,
      -0.00022807069313195307,
      -0.00029744391880062027,
      -0.0003656865456441179,
      -0.00043281709248440875,
      -0.0004988535667525304,
      -0.0005638137709940473,
      -0.0006277152006771104,
      -0.0006905752656873092,
      -0.0007524109322358798,
      -0.0008132388726657103,
      -0.0008730754605797954,
      -0.0009319368542124521,
      -0.0009898389262613296,
      -0.0010467974090621827,
      -0.0011028276318914762,
      -0.0011579447147149011,
      -0.0012121634937880305,
      -0.0012654986437269202,
      -0.0013179645633051799,
      -0.0013695754702222089,
      -0.0014203452150542944,
      -0.0014702875138535643,
      -0.001519415817448182,
      -0.0015677433706485905,
      -0.001615283289793388,
      -0.0016620484423800939,
      -0.0017080514848104246,
      -0.0017533048804103401,
      -0.0017978207700482115,
      -0.0018416111599548475,
      -0.0018846879242843137,
      -0.0019270626671906677,
      -0.0019687467684403087,
      -0.0020097515235315893,
      -0.002050088079764899,
      -0.0020897672829337448,
      -0.0021287997962188224,
      -0.002167196224781275,
      -0.0022049667947184504,
      -0.0022421217940639154,
      -0.002278671269544679,
      -0.0023146251107348057,
      -0.0023499929296943067,
      -0.0023847843215021964,
      -0.002419008640905976,
      -0.002452675179161792,
      -0.0024857930096874544,
      -0.002518371182594989,
      -0.0025504184040228786,
      -0.002581943318556964,
      -0.002612954428391422,
      -0.00264346008877823,
      -0.002673468591709603,
      -0.0027029880328365637,
      -0.0027320263944195394,
      -0.0027605915830335283,
      -0.0027886912631992136,
      -0.002816332938441531,
      -0.0028435240953964248,
      -0.0028702720548877594,
      -0.0028965840325924086,
      -0.002922467281792419,
      -0.002947928816631099
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33452934122384,
      10.09287714471522,
      9.844630759400477,
      9.592652210616018,
      9.339491092824208,
      9.087341981607429,
      8.83802885424072,
      8.59299982828313,
      8.35332036294996,
      8.119693431674296,
      7.892496680096001,
      7.671829894550987,
      7.457568164828745,
      7.249416278077556,
      7.046960697716997,
      6.849716598195732,
      6.657168544853855,
      6.468804556511023,
      6.284142845707545,
      6.102751845502216,
      5.924261092088419,
      5.748359236535351,
      5.5748014345864965,
      5.403426157525321,
      5.234149362672977,
      5.066951233322742,
      4.901890531627492,
      4.739134056954098,
      4.57894997587858,
      4.421646699114664,
      4.267558473276196,
      4.117050127677525,
      3.9705093720277778,
      3.8283152275963417,
      3.6908235478445146,
      3.5583544247435803,
      3.4311823589671824,
      3.3095295515147445,
      3.193561225422611,
      3.0833815230195323,
      2.979020946254627,
      2.8804387396694784,
      2.7875155080818788,
      2.7000463069925242,
      2.6177802292488543,
      2.5404646501188823,
      2.4678362389855217,
      2.399628977223454,
      2.3355756759349724,
      2.27539119572233,
      2.2187389193293097,
      2.1652409468309943,
      2.114558477775567,
      2.066363170506135,
      2.0203517548254255,
      1.9762636952246249,
      1.933891318282601,
      1.8930595023409542,
      1.853623680184356,
      1.8154659093304795,
      1.7784809493006632,
      1.742581206094204,
      1.707696122508927,
      1.6737665863451423,
      1.6407418803403877,
      1.6085775596489602,
      1.5772339683475523,
      1.5466751964662018,
      1.5168700836014655,
      1.4877939723949496,
      1.4594250255897114,
      1.431740955410875,
      1.4047189539477605,
      1.3783351310654417,
      1.3525666924567636,
      1.3273921904238317,
      1.3027913323853135,
      1.2787448661046728,
      1.2552344892329108,
      1.2322427748034768,
      1.2097531096133751,
      1.187749639840193,
      1.1662172244641582,
      1.1451415471247999,
      1.12450992304321,
      1.104310647987403,
      1.0845329501426646,
      1.0651661418936065,
      1.0461994209856567,
      1.0276220678308599,
      1.0094235648824985,
      0.9915936652778458,
      0.9741224302870171,
      0.9570002464100311,
      0.9402178302225044,
      0.9237662260878933,
      0.9076367987238754,
      0.8918212230963354,
      0.8763114734317872,
      0.8610998109374308,
      0.8461787714779715,
      0.8315411538384047,
      0.8171800083222263,
      0.8030886250192029,
      0.78926052325161,
      0.7756894412584656,
      0.7623693263903714,
      0.7492943257210438,
      0.736458777714836,
      0.7238572033681017,
      0.7114842986965982,
      0.699334927051021,
      0.687404111493206,
      0.6756870284761274,
      0.6641790020333952,
      0.6528754963580254,
      0.641772111153149,
      0.6308645753356846,
      0.6201487425057512,
      0.6096205816946652,
      0.5992761238905229,
      0.5891114951643883,
      0.5791229566815073,
      0.5693068898760708,
      0.559659785746433,
      0.5501782372637032,
      0.5408589329803821,
      0.531698802642699,
      0.5226956099037477,
      0.5138471826651944,
      0.5051510642932419,
      0.4966046453697693,
      0.48820524546850114,
      0.4799501643537945,
      0.4718367132016835,
      0.4638622336538434,
      0.45602410947343236,
      0.4483197730535012,
      0.4407467087558518,
      0.4333024544617733,
      0.4259846017422265,
      0.41879082556723085,
      0.41171912187581106,
      0.40476758973316124,
      0.39793423323699684,
      0.39121701506568207,
      0.3846138884235295,
      0.3781228169159389,
      0.371741786914355,
      0.365468814858473,
      0.35930195118747243,
      0.3532393038017876,
      0.3472791473814431,
      0.3414198024624824,
      0.335659560559629,
      0.32999670848374535,
      0.3244295431100269,
      0.31895638008646504,
      0.3135755595633314,
      0.30828545349768394,
      0.3030844925745256,
      0.29797114010472076,
      0.2929438739414963,
      0.2880011920089309,
      0.28314161574621716,
      0.2783636915383249,
      0.2736659917212974,
      0.2690471149041336,
      0.2645056850275548,
      0.26004017304717275,
      0.2556489934899695,
      0.25133069147719284,
      0.24708390330544916,
      0.24290733179755053,
      0.23879973020957912,
      0.2347598919644054,
      0.23078664354435763,
      0.2268789400446332,
      0.2230361209086212,
      0.21925747662564715,
      0.21554216153038055,
      0.21188924983041257,
      0.208297771578938,
      0.20476673528494305,
      0.2012951422864739,
      0.1978819960469092,
      0.19452626188669253,
      0.19122684269235407,
      0.18798268790614073,
      0.18479279768719586,
      0.1816562106416581,
      0.17857199594631926,
      0.17553924790325087,
      0.17255708243570161,
      0.1696246347626714,
      0.16674105774168874,
      0.1639055208239618,
      0.16111720910415386,
      0.15837532260125223,
      0.1556790759667547,
      0.1530276978183457,
      0.1504204306132564,
      0.14785653029799548,
      0.14533526576678307,
      0.1428559189022842,
      0.14041778394702858,
      0.13802016756477348,
      0.13566238862608948,
      0.13334377773059602,
      0.1310636770751464,
      0.12882144023528777,
      0.12661643207661463,
      0.12444802845859819,
      0.12231561582534001,
      0.12021859135078249,
      0.11815636257020737,
      0.1161283471013225,
      0.11413397267086099,
      0.11217267677897577,
      0.11024390631830833,
      0.10834711791088773,
      0.10648177743017874,
      0.10464735979543424,
      0.10284334877009273,
      0.10106923715251002,
      0.0993245262774505,
      0.09760872587744779,
      0.09592135401695834,
      0.09426193699720667,
      0.09263000911085523,
      0.09102511253917699,
      0.08944679715483483,
      0.08789462051710584,
      0.08636814765477505,
      0.08486695092627143,
      0.08339060987027423,
      0.08193871129808429,
      0.08051084865751626,
      0.07910662248612679,
      0.0777256400271892,
      0.07636751494641573,
      0.07503186754840842,
      0.07371832444762057,
      0.07242651862791351,
      0.07115608923238591,
      0.06990668132160893,
      0.06867794599973492,
      0.06746954017476213,
      0.06628112642569842,
      0.06511237309101806,
      0.06396295407606307,
      0.06283254868066687,
      0.06172084159630874,
      0.06062752275789749,
      0.05955228731330848,
      0.0584948354947346,
      0.05745487257253581,
      0.05643210866211016,
      0.05542625871791682,
      0.054437042456189313,
      0.05346418434307739,
      0.052507413295457786,
      0.05156646286296976,
      0.05064107099436241,
      0.049730980034039265,
      0.0488359365439594,
      0.047955691342102195,
      0.047089999318280916,
      0.04623861957723642,
      0.04540131515847875,
      0.044577853045065625,
      0.043768004008690305,
      0.042971542813091804,
      0.042188247834577114,
      0.04141790117659625,
      0.040660288626649686,
      0.039915199382536466,
      0.039182426230566454,
      0.03846176539702436,
      0.03775301645734041,
      0.03705598232170002,
      0.03637046913515172,
      0.035696286323286974,
      0.03503324635174096,
      0.03438116498097316,
      0.03373986108802461,
      0.03310915636082587,
      0.03248887539098553,
      0.03187884569533538,
      0.03127889783755217,
      0.03068886509095804,
      0.030108583538143132,
      0.029537891983896804,
      0.028976631738991922,
      0.02842464682698211,
      0.027881783851662737,
      0.027347892027386217,
      0.02682282309828447,
      0.026306431197620793,
      0.025798572767000028,
      0.02529910674571403,
      0.024807894400647876,
      0.024324799247551036,
      0.02384968710254174,
      0.02338242590057388,
      0.022922885954554446,
      0.022470939619434426,
      0.02202646131262236,
      0.02158932767117234,
      0.02115941734710239,
      0.020736610878969403,
      0.02032079088564715,
      0.01991184189273869,
      0.019509650281076388,
      0.019114104388947017,
      0.018725094347818643,
      0.018342512122972675,
      0.017966251459062128,
      0.01759620782638264,
      0.017232278475564335,
      0.016874362391107484,
      0.016522360131082308,
      0.016176174073324934,
      0.015835708179105682,
      0.015500867756643073,
      0.015171559891597321,
      0.014847693222575068,
      0.0145291777673711,
      0.014215925034657637,
      0.013907848115981556,
      0.013604861510271024,
      0.013306881125877378,
      0.013013824154166107,
      0.012725609234735426,
      0.012442156384344776,
      0.01216338686772942,
      0.011889223448686653,
      0.011619589915261554,
      0.011354411327875645,
      0.011093614170753201,
      0.010837126120803533,
      0.010584875859183399,
      0.01033679329417632,
      0.01009280965508744,
      0.009852857108078063,
      0.009616869100608988,
      0.009384780157757108,
      0.009156525745823296,
      0.00893204265565783,
      0.00871126846176022,
      0.008494141939030135,
      0.008280602835363788,
      0.008070591819324416,
      0.007864050661268497,
      0.00766092202998283,
      0.0074611495222708536,
      0.00726467760703084,
      0.007071451814388568,
      0.0068814185792098245,
      0.006694525024497802,
      0.006510719307362508,
      0.006329950447282613,
      0.006152168291634827,
      0.005977323464760906,
      0.005805367441778028,
      0.005636252517794146,
      0.005469931714832984,
      0.005306358870972973,
      0.005145488504234947,
      0.004987275983891457,
      0.004831677444260413,
      0.004678649663421112,
      0.004528150192676142,
      0.004380137221613706,
      0.004234569662047395,
      0.004091407171362307,
      0.003950610032187581,
      0.0038121392320216276,
      0.003675956233560503,
      0.003542023256165201,
      0.003410303057417395,
      0.003280759105102801,
      0.0031533554210887308,
      0.00302805658633362,
      0.002904827894565093,
      0.0027836351459737917,
      0.00266444476108722,
      0.0025472236870485603,
      0.00243193929343948,
      0.0023185596130683443,
      0.002207053159180382,
      0.002097389043624704,
      0.001989536823819199,
      0.001883466472289476,
      0.0017791485831406375,
      0.0016765543012736929,
      0.0015756550626812925,
      0.0014764227876781703,
      0.0013788300124911417,
      0.0012828496285381035,
      0.0011884550243449947,
      0.0010956199491822507,
      0.0010043187599214813,
      0.0009145260783809945,
      0.000826216895547349,
      0.0007393667660221252,
      0.0006539515146141266,
      0.000569947542391288,
      0.00048732859858363837,
      0.0004060668282106633,
      0.000326136479440642,
      0.00024751352238850175,
      0.0001701751348614144,
      9.409940942700625e-05,
      1.9265140099680147e-05,
      -5.434824798793001e-05,
      -0.0001267610339663431,
      -0.0001979929626899891,
      -0.0002680634875726962,
      -0.00033699161808139024,
      -0.00040479601342388507,
      -0.00047149500488840527,
      -0.0005371066295700928,
      -0.0006016486249788723,
      -0.0006651384095749264,
      -0.0007275931128832302,
      -0.0007890297192664727,
      -0.0008494647018447046,
      -0.0009089144117263059,
      -0.0009673949449873773,
      -0.0010249221357797713,
      -0.0010815115168944125,
      -0.0011371783870334714,
      -0.001191937819884861,
      -0.0012458045389283426,
      -0.0012987930898075328,
      -0.0013509177763689417,
      -0.0014021927170188898,
      -0.001452631811030738,
      -0.001502248513097096,
      -0.0015510562489993945,
      -0.0015990683408622544,
      -0.0016462976969466498,
      -0.0016927570913544874,
      -0.0017384591060355871,
      -0.0017834160655850447,
      -0.0018276401748760134,
      -0.0018711433123507616,
      -0.0019139372167253782,
      -0.0019560335394380305,
      -0.0019974435276492297,
      -0.0020381784820570196,
      -0.0020782494067540344,
      -0.0021176670333694354,
      -0.0021564419460057913,
      -0.0021945847752854485,
      -0.0022321058521828454,
      -0.002269015254859801,
      -0.00230532291831761,
      -0.002341038673209902,
      -0.002376172151066377,
      -0.0024107328856237996,
      -0.0024447301975902684,
      -0.0024781732568068065,
      -0.002511071111565722,
      -0.0025434327307666707,
      -0.0025752667655111966,
      -0.0026065818121321633,
      -0.0026373863377789626,
      -0.0026676886690449745,
      -0.002697497075662368,
      -0.0027268195548022186,
      -0.0027556639325975645,
      -0.0027840380217786613,
      -0.0028119496208361644,
      -0.0028394062519022326,
      -0.002866415253905425,
      -0.0028929838750481247,
      -0.0029191193711649173,
      -0.002944828754284845,
      -0.0029701190493392816
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334525166226266,
      10.092863578537735,
      9.844602335688936,
      9.592604062824687,
      9.339419799819742,
      9.087245233999226,
      8.837905345227716,
      8.592848952901441,
      8.353141958994621,
      8.119487619728432,
      7.89226374099524,
      7.671570175193288,
      7.4572820170813925,
      7.249104027404717,
      7.046622634025602,
      6.84935298850602,
      6.656779654986128,
      6.468390664450062,
      6.2837042978669135,
      6.102289141543323,
      5.923774947724023,
      5.747850670411031,
      5.5742717270914826,
      5.4028768148784705,
      5.2335820338958,
      5.066367724481819,
      4.901293080309892,
      4.738525786919706,
      4.578334327653414,
      4.421027134484368,
      4.266938461691926,
      4.116433309113135,
      3.9698993012566035,
      3.827715256370806,
      3.6902367681763755,
      3.5577836278380435,
      3.4306299919117347,
      3.308997710843563,
      3.1930516547121988,
      3.0828954750789315,
      2.9785590825523793,
      2.880001129512995,
      2.787101723276676,
      2.6996552707015633,
      2.6174104737027433,
      2.5401146133533343,
      2.4675041552079024,
      2.3993130459637912,
      2.3352741131289667,
      2.2751021973814596,
      2.218460141488476,
      2.164970161359109,
      2.11429362019341,
      2.0661023039663506,
      2.0200932771092797,
      1.9760063918880075,
      1.933634290132239,
      1.8928020837492776,
      1.853365400790376,
      1.8152063814963426,
      1.77821976677863,
      1.7423180073651245,
      1.7074306739616993,
      1.6734987443728453,
      1.6404715633386007,
      1.6083047288105823,
      1.5769586140863088,
      1.5463973290667077,
      1.5165898999253147,
      1.4875119168113768,
      1.4591414937515277,
      1.4314562202928889,
      1.4044332161152377,
      1.3780485634962372,
      1.3522794233936326,
      1.3271043121271948,
      1.3025029141025541,
      1.2784559629114363,
      1.2549451462873196,
      1.2319530308277589,
      1.2094629995001833,
      1.1874591961810077,
      1.165926478152271,
      1.1448505379169494,
      1.1242187041822707,
      1.104019387848245,
      1.084241823669662,
      1.0648752676638038,
      1.0459088815038833,
      1.0273319227904285,
      1.0091338592396446,
      0.9913044347946498,
      0.9738337037381858,
      0.9567120487284504,
      0.9399301840454904,
      0.9234791523683372,
      0.9073503177814395,
      0.891535354634857,
      0.8760262366435773,
      0.860815224642692,
      0.8458948542502427,
      0.8312579240646188,
      0.8168974839441673,
      0.8028068238206345,
      0.7889794628270774,
      0.7754091391730015,
      0.7620898000473884,
      0.7490155925998981,
      0.736180854884081,
      0.723580107674428,
      0.7112080466365226,
      0.6990595347839818,
      0.6871295950976267,
      0.6754134039154706,
      0.6639062845778473,
      0.6526037014705175,
      0.6415012536614317,
      0.630594669968487,
      0.6198798035032554,
      0.6093526228926384,
      0.5990091583109071,
      0.5888455356139158,
      0.5788580158321148,
      0.5690429803626287,
      0.5593969200032106,
      0.5499164274544796,
      0.5405981907934182,
      0.5314391826414904,
      0.5224372241666984,
      0.5135901030556045,
      0.504895337409418,
      0.4963503020501475,
      0.48795230634583064,
      0.4796986432067845,
      0.4715866193618653,
      0.4636135740096542,
      0.45577688890815266,
      0.4480739950996031,
      0.4405023762648699,
      0.43305956955392355,
      0.4257431662572425,
      0.41855085305466283,
      0.4114806418527429,
      0.40453061994604567,
      0.3976987842761326,
      0.39098309260528946,
      0.38438149500805646,
      0.3778919533747803,
      0.37151245290111345,
      0.365241008950027,
      0.3590756711786883,
      0.3530145520802305,
      0.347055932670972,
      0.34119812842537756,
      0.33543942793050036,
      0.32977811585153083,
      0.32421248770233924,
      0.3187408581259513,
      0.3133615666047249,
      0.3080729857767804,
      0.30287354753202134,
      0.29776171380590477,
      0.29273596159357573,
      0.28779478824332594,
      0.28293671475662746,
      0.27816028716387176,
      0.2734640777809571,
      0.26884668507061166,
      0.2643067337926084,
      0.25984269789800657,
      0.25545299098628915,
      0.25113615691282376,
      0.24689083132939268,
      0.24271571639495634,
      0.2386095650344504,
      0.23457117019909232,
      0.23059935830301265,
      0.22669308006976838,
      0.22285166887752972,
      0.21907441888785173,
      0.21536048642986488,
      0.21170894713027805,
      0.20811883196620698,
      0.2045891498014574,
      0.2011189023072936,
      0.19770709304244954,
      0.19435268321512633,
      0.19105457569595038,
      0.18781172149842462,
      0.18462312192398955,
      0.18148781629536348,
      0.1784048741585081,
      0.17537339007970476,
      0.17239248017354916,
      0.1694612796371798,
      0.16657894149350444,
      0.16374463504351738,
      0.16095754537295817,
      0.1582168726261424,
      0.1555218314342439,
      0.15287165047090875,
      0.1502655720451881,
      0.14770285197966704,
      0.14518275917567108,
      0.1427045754309346,
      0.14026759510293957,
      0.13787112483307246,
      0.1355144833891436,
      0.13319700142194948,
      0.13091802111688672,
      0.12867689608358737,
      0.12647299115851343,
      0.1243056821400139,
      0.12217435557619431,
      0.1200784085855255,
      0.11801724857046669,
      0.11599029315411652,
      0.11399696999652252,
      0.11203671666201662,
      0.1101089802642023,
      0.10821321738310204,
      0.10634889369499596,
      0.10451548430674565,
      0.10271247311561879,
      0.100939352733141,
      0.09919562461558952,
      0.09748079839746925,
      0.0957943921812952,
      0.09413593239790313,
      0.09250495325630606,
      0.09090099702182063,
      0.08932361367929649,
      0.08777236062291614,
      0.08624680295705814,
      0.0847465131879571,
      0.08327107089348854,
      0.08182006270727762,
      0.08039308232108629,
      0.07898973019156814,
      0.07760961349290878,
      0.07625234607487182,
      0.07491754827591446,
      0.07360484669275388,
      0.07231387438619488,
      0.07104427044839963,
      0.06979567998983113,
      0.06856775417970215,
      0.06736015011126478,
      0.06617253035797625,
      0.0650045632176598,
      0.06385592267556127,
      0.06272628815911897,
      0.061615344398746136,
      0.060522781314615116,
      0.0594482940212003,
      0.058391582796907926,
      0.057352352964901106,
      0.056330314728856364,
      0.05532518303677491,
      0.054336677621299956,
      0.05336452308345239,
      0.05240844841882968,
      0.05146818720942955,
      0.05054347739026373,
      0.04963406139198555,
      0.04873968577528009,
      0.04786010145096601,
      0.04699506338454105,
      0.0461443306822483,
      0.04530766648916277,
      0.044484837906040325,
      0.0436756157584684,
      0.042879774756150804,
      0.04209709333560288,
      0.041327353689016674,
      0.04057034160397773,
      0.039825846367725,
      0.03909366074846589,
      0.03837358099310917,
      0.03766540677777406,
      0.03696894109542854,
      0.03628399018145613,
      0.035610363464274764,
      0.03494787359851431,
      0.034296336287717076,
      0.03365557029702253,
      0.03302539745846233,
      0.0324056425290675,
      0.03179613307935685,
      0.03119669965341462,
      0.030607175596978863,
      0.030027396991896757,
      0.029457202588113962,
      0.028896433924433786,
      0.028344935040058417,
      0.02780255262829217,
      0.027269135889082616,
      0.02674453653093446,
      0.026228608808091598,
      0.02572120935121565,
      0.02522219709031099,
      0.024731433249989478,
      0.024248781366024416,
      0.023774107324114408,
      0.023307279344135592,
      0.0228481675912748,
      0.022396644418641396,
      0.021952584438450284,
      0.021515864253912602,
      0.02108636247061274,
      0.020663959688660576,
      0.02024853860767107,
      0.019839983745438494,
      0.01943818158359107,
      0.019043020440940178,
      0.018654390640498578,
      0.018272184181309024,
      0.017896294862509897,
      0.017526618299770716,
      0.01716305173883664,
      0.016805494123667226,
      0.016453846069169636,
      0.01610800999995338,
      0.015767889773805454,
      0.01543339087763261,
      0.015104420540507887,
      0.014780887236020229,
      0.01446270113808933,
      0.014149773832095636,
      0.013842018445489658,
      0.013539349466085345,
      0.013241682731302901,
      0.012948935581385745,
      0.012661026681595614,
      0.012377876110534957,
      0.012099405161006018,
      0.011825536489438526,
      0.011556194136903869,
      0.011291303275588025,
      0.011030790278059498,
      0.010774582752796632,
      0.010522609559248474,
      0.010274800713148633,
      0.010031087385450771,
      0.009791401816844207,
      0.009555677414653733,
      0.009323848752150568,
      0.009095851509230665,
      0.008871622334393148,
      0.008651098990666205,
      0.008434220219522837,
      0.008220925697763752,
      0.00801115618244134,
      0.007804853456397859,
      0.00760196022718768,
      0.007402420156640178,
      0.0072061778560965194,
      0.007013178815363172,
      0.006823369398738601,
      0.006636696850565385,
      0.00645310937472129,
      0.006272556026712993,
      0.006094986570907514,
      0.005920351741397193,
      0.005748603061492247,
      0.0055796926977245915,
      0.005413573825874928,
      0.005250200345057506,
      0.005089526856004988,
      0.004931508813780152,
      0.0047761022635249345,
      0.004623264056294164,
      0.004472951698686648,
      0.004325123434103742,
      0.004179738256947208,
      0.004036755758099404,
      0.003896136233366004,
      0.0037578406485640433,
      0.0036218305944435304,
      0.003488068326678873,
      0.0033565167132365127,
      0.003227139183969857,
      0.0030998998351434554,
      0.0029747633013175578,
      0.0028516948198566566,
      0.0027306602156254604,
      0.002611625900168884,
      0.0024945587462744936,
      0.002379426269717891,
      0.0022661964889883236,
      0.0021548379842834414,
      0.002045319773887921,
      0.0019376114854944937,
      0.0018316832049721766,
      0.0017275055689459475,
      0.0016250496811939061,
      0.0015242870630140307,
      0.0014251896622625168,
      0.0013277299848001725,
      0.0012318809039542156,
      0.0011376158275748893,
      0.0010449087462328375,
      0.0009537338258359141,
      0.0008640657196991267,
      0.0007758794434856173,
      0.0006891505890067788,
      0.0006038549738002964,
      0.000519968985115335,
      0.00043746926459694945,
      0.0003563329856733586,
      0.0002765376365101332,
      0.0001980610653575454,
      0.0001208813871163277,
      4.497718375951607e-05,
      -2.9672541684119865e-05,
      -0.00010308853651316941,
      -0.00017529117629885653,
      -0.0002463005003420391,
      -0.0003161364048912299,
      -0.0003848181803917289,
      -0.0004523648545501181,
      -0.0005187953051838393,
      -0.00058412796550262,
      -0.0006483808643809883,
      -0.0007115718945015733,
      -0.0007737186536233135,
      -0.0008348383608738558,
      -0.0008949480263638664,
      -0.0009540643014946469,
      -0.0010122035380093863,
      -0.001069381845764218,
      -0.001125615207109223,
      -0.0011809192975872648,
      -0.0012353094967874321,
      -0.001288800878686648,
      -0.001341408175462328,
      -0.0013931460515780216,
      -0.0014440288433106646,
      -0.0014940707677250109,
      -0.0015432856221896092,
      -0.0015916871057599642,
      -0.0016392886693801815,
      -0.0016861036387948907,
      -0.0017321449868231444,
      -0.0017774270186793873,
      -0.001821965028016757,
      -0.001865773053888622,
      -0.001908864241689693,
      -0.0019512511552225668,
      -0.001992945845312598,
      -0.0020339599605354304,
      -0.002074304818549324,
      -0.0021139914948817428,
      -0.0021530308092940127,
      -0.0021914333872008925,
      -0.002229209676036746,
      -0.002266369827211189,
      -0.002302923977670458,
      -0.0023388819970636457,
      -0.002374253723924256,
      -0.0024090486413711667,
      -0.002443276143451887,
      -0.002476945400274593,
      -0.0025100655277157354,
      -0.0025426455720883577,
      -0.0025746943933072117,
      -0.002606220591296559,
      -0.002637232711558736,
      -0.002667739119624584,
      -0.0026977480849177463,
      -0.0027272675968612703,
      -0.0027563056825219475,
      -0.0027848702345707045,
      -0.0028129689722965635,
      -0.0028406094527713894,
      -0.00286779919602263,
      -0.0028945456127411995,
      -0.0029208559316268186,
      -0.002946737234029222,
      -0.002972196551895006,
      -0.0029972407107893397
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334520981465326,
      10.09284998360522,
      9.84457386020213,
      9.592555838415763,
      9.339348401456744,
      9.08714834656689,
      8.83778165681844,
      8.592697854419054,
      8.35296328625603,
      8.119281493626504,
      7.892030441503925,
      7.67131004884221,
      7.456995416353938,
      7.248791278077711,
      7.046284026538829,
      6.848988789098453,
      6.656390130482165,
      6.46797609397024,
      6.283265028095302,
      6.101825673896644,
      5.923287998791289,
      5.747341257642506,
      5.573741130735675,
      5.4023265413696295,
      5.233013733190463,
      5.06578320500417,
      4.900694582277961,
      4.737916437345755,
      4.577717572066868,
      4.42040643845348,
      4.266317299213651,
      4.11581532061475,
      3.96928804216322,
      3.82711408367381,
      3.6896487788310064,
      3.557211617391764,
      3.430076411605876,
      3.3084646606873727,
      3.1925408809046596,
      3.082408232141397,
      2.9780960337290168,
      2.879562346120658,
      2.7866867614845723,
      2.69926304303668,
      2.6170395204304824,
      2.539763378798739,
      2.4671708785267166,
      2.398995930121871,
      2.334971376509713,
      2.274812037450687,
      2.2181802048332226,
      2.16469822270612,
      2.1140276033061305,
      2.065840268370653,
      2.01983362973865,
      1.9757479245809662,
      1.93337610838418,
      1.8925435253813185,
      1.853105997499434,
      1.8149457468512242,
      1.7779575287421745,
      1.742053817322866,
      1.7071642832886567,
      1.6732299989094774,
      1.6402003739857256,
      1.6080310514745702,
      1.576682435758227,
      1.5461186577188484,
      1.5163089308184516,
      1.4872290936365449,
      1.4588572117013623,
      1.4311707512935226,
      1.4041467600166235,
      1.3777612930019052,
      1.351991465952066,
      1.3268157599615116,
      1.302213836727125,
      1.2781664141975169,
      1.2546551704507147,
      1.231662666422162,
      1.2091722808572682,
      1.1871681553489783,
      1.1656351458067145,
      1.1445589537735308,
      1.123926960785922,
      1.1037276699865488,
      1.0839502840198374,
      1.0645840110333442,
      1.0456179814951996,
      1.0270414332683473,
      1.0088438209223598,
      0.9910148798247358,
      0.9735446597147129,
      0.9564235397148286,
      0.9396422321154179,
      0.9231917781658224,
      0.9070635410126215,
      0.8912491943907842,
      0.8757407115034995,
      0.8605303530672663,
      0.8456106545031538,
      0.8309744144254049,
      0.8166146826027163,
      0.802524748605519,
      0.788698131531481,
      0.7751285690543598,
      0.7618100084832231,
      0.7487365967147096,
      0.7359026714448376,
      0.7233027534311228,
      0.7109315382195683,
      0.6987838883105375,
      0.686854826479273,
      0.6751395288492145,
      0.6636333183747113,
      0.6523316588730597,
      0.6412301496429366,
      0.6303245192513866,
      0.6196106204241283,
      0.6090844209019466,
      0.5987419501480598,
      0.5885793341332456,
      0.5785928336260924,
      0.5687788299874653,
      0.5591338138652054,
      0.5496543775622885,
      0.5403372088834708,
      0.531179323605291,
      0.522178600080721,
      0.5133327857573813,
      0.5046393736763518,
      0.49609572267293855,
      0.4876991318354785,
      0.47944688747675235,
      0.4713362921097168,
      0.46336468175553164,
      0.45552943655117295,
      0.44782798631805987,
      0.44025781370310957,
      0.4328164552801464,
      0.4255015018071739,
      0.4183106520822825,
      0.4112419340576209,
      0.4042934231833972,
      0.3974631090189054,
      0.39074894464204857,
      0.38414887710229995,
      0.37766086624785444,
      0.3712828957970436,
      0.3650129802161404,
      0.3588491685851836,
      0.35278957805455274,
      0.3468324960796848,
      0.34097623322847787,
      0.3352190746155823,
      0.32955930305567444,
      0.32399521267784825,
      0.3185251172624402,
      0.31314735552485234,
      0.3078603007623674,
      0.30266238561492725,
      0.29755207102607584,
      0.29252783327461074,
      0.2875881691481543,
      0.2827315990858906,
      0.2779566689955524,
      0.2732619508202058,
      0.2686460429177406,
      0.2641075698906976,
      0.25964500905278176,
      0.2552567742428877,
      0.25094140804900333,
      0.24669754503271435,
      0.24252388679109052,
      0.23841918560056538,
      0.23438223423370788,
      0.23041185887144627,
      0.2265070058532187,
      0.2226670027464838,
      0.21889114700394272,
      0.21517859725490343,
      0.2115284304818084,
      0.20793967833195773,
      0.20441135031671123,
      0.20094244836431965,
      0.1975319762182458,
      0.19417889079713702,
      0.1908820947907003,
      0.18764054105073838,
      0.18445323193145946,
      0.18131920749714947,
      0.17823753767506637,
      0.17520731729480404,
      0.1722276626802847,
      0.1692977090633417,
      0.1664166094534982,
      0.1635835332421094,
      0.16079766557524577,
      0.15805820644262714,
      0.15536437039746118,
      0.15271538612377253,
      0.15011049591437736,
      0.14754895553572644,
      0.14503003383686427,
      0.1425530127318134,
      0.14011718653231758,
      0.13772186188750418,
      0.13536635758761684,
      0.13305000419976565,
      0.130772143845861,
      0.12853213023161997,
      0.12632932805484962,
      0.12416311300036699,
      0.1220328717433171,
      0.119938001375482,
      0.117877909430373,
      0.1158520135209968,
      0.11385974131500116,
      0.11190053034451285,
      0.10997382767595491,
      0.10807908982067257,
      0.10621578264418363,
      0.10438338116624918,
      0.10258136934053964,
      0.10080923969812892,
      0.09906649367486466,
      0.09735264109095798,
      0.09566720007855932,
      0.09400969694205015,
      0.09237966612260971,
      0.09077664976447578,
      0.08920019777192775,
      0.08764986775963109,
      0.086125224870475,
      0.08462584154368552,
      0.0831512973497954,
      0.08170117896484967,
      0.08027508015071105,
      0.07887260137267119,
      0.07749334984773738,
      0.07613693940378265,
      0.07480299038817557,
      0.07349112963759977,
      0.07220099029661416,
      0.07093221133118796,
      0.06968443792856979,
      0.06845732115912133,
      0.06725051816283478,
      0.06606369167028,
      0.06489651016185835,
      0.06374864747462941,
      0.06261978310077565,
      0.06150960174629262,
      0.06041779353896647,
      0.059344053747157476,
      0.058288082511749974,
      0.057249585136285544,
      0.05622827195485332,
      0.05522385801152449,
      0.054236063082064294,
      0.053264611700557254,
      0.05230923297153842,
      0.05136966049173178,
      0.050445632314043524,
      0.04953689090590427,
      0.0486431829623906,
      0.04776425924118752,
      0.046899874881060045,
      0.0460497889347378,
      0.04521376458192039,
      0.0443915689376645,
      0.04358297296198257,
      0.04278775143478761,
      0.04200568292312025,
      0.04123654962909757,
      0.04048013734102507,
      0.03973623544576082,
      0.039004636713051634,
      0.03828513756697094,
      0.03757753755985786,
      0.036881639771770225,
      0.036197250538783664,
      0.03552417947444461,
      0.0348622391088054,
      0.03421124523899829,
      0.03357101670658607,
      0.03294137540331152,
      0.03232214599569089,
      0.031713156252303136,
      0.031114236631978768,
      0.03052522055044896,
      0.029945944257640245,
      0.029376246586239746,
      0.028815969034324904,
      0.02826495574390992,
      0.027723053381677774,
      0.027190111213724697,
      0.026665981095261564,
      0.02615051717116845,
      0.025643576158062713,
      0.025145017038292177,
      0.024654701144362755,
      0.0241724921317356,
      0.023698255928737633,
      0.023231860638161846,
      0.02277317653638108,
      0.022322076048913224,
      0.02187843380606853,
      0.021442126419336512,
      0.021013032578757935,
      0.020591033051783895,
      0.020176010381740984,
      0.01976784933110563,
      0.019366436340967148,
      0.01897165988166376,
      0.018583410142813252,
      0.0182015792393222,
      0.017826060998550167,
      0.017456751066027978,
      0.017093546833629118,
      0.01673634725351796,
      0.016385053129618292,
      0.01603956668382029,
      0.015699791879091127,
      0.015365634252912586,
      0.015037000915768237,
      0.014713800575229679,
      0.014395943362429985,
      0.014083340924929617,
      0.013775906455650458,
      0.013473554479786487,
      0.013176200856719398,
      0.012883763016216658,
      0.012596159774516048,
      0.01231331114967512,
      0.012035138493028714,
      0.011761564479742635,
      0.01149251311731291,
      0.011227909587312087,
      0.010967680301745756,
      0.010711753047134405,
      0.010460056681962003,
      0.010212521258423313,
      0.00996907795800806,
      0.009729659044084887,
      0.00949419806696566,
      0.00926262959669779,
      0.009034889277994947,
      0.00881091383254118,
      0.008590641039364851,
      0.008374009637110744,
      0.008160959331863038,
      0.007951431037515205,
      0.007745366510260399,
      0.007542708489039001,
      0.007343400598279333,
      0.0071473875971752015,
      0.006954615010228362,
      0.006765029149008527,
      0.006578577378349516,
      0.006395207916187519,
      0.006214869846689136,
      0.00603751294582213,
      0.005863087929526774,
      0.0056915463234937,
      0.005522840527389942,
      0.005356923610140129,
      0.005193749468459864,
      0.005033272785930103,
      0.004875449013860625,
      0.004720234247557635,
      0.0045675852702932096,
      0.004417459752566753,
      0.004269815945889835,
      0.004124612856271245,
      0.003981810210470289,
      0.003841368253299604,
      0.0037032479351573845,
      0.003567410905076628,
      0.003433819359954372,
      0.003302436163636809,
      0.003173224923637564,
      0.003046149682931695,
      0.002921175084047283,
      0.002798266465755924,
      0.002677389663390258,
      0.0025585110845813743,
      0.0024415976219525127,
      0.002326616879451019,
      0.0022135369366926877,
      0.002102326325977196,
      0.0019929541119684826,
      0.00188538991661182,
      0.0017796037870798894,
      0.0016755663645566538,
      0.0015732487500079541,
      0.0014726225559212676,
      0.0013736598585416982,
      0.0012763331645269855,
      0.0011806153921735687,
      0.0010864799177572187,
      0.0009939005472624943,
      0.0009028516554703655,
      0.0008133077924237729,
      0.0007252441944741362,
      0.0006386363942881771,
      0.0005534603093021516,
      0.0004696922681575043,
      0.000387309025689479,
      0.0003062876337099487,
      0.00022660559256073833,
      0.00014824075634711838,
      7.11713478488935e-05,
      -4.624012399846749e-06,
      -7.916642840711677e-05,
      -0.00015247650608311475,
      -0.0002245746313172713,
      -0.0002954809737344374,
      -0.00036521519700084175,
      -0.0004337966314508154,
      -0.0005012443687325076,
      -0.000567577133664782,
      -0.0006328132684628605,
      -0.0006969709637836602,
      -0.0007600680501928585,
      -0.0008221220555927494,
      -0.0008831502993592932,
      -0.0009431697123471051,
      -0.0010021969986671753,
      -0.0010602485232482205,
      -0.001117340388872412,
      -0.0011734884482834732,
      -0.0012287083220456102,
      -0.001283015313580705,
      -0.0013364245646330594,
      -0.0013889509937877677,
      -0.0014406091197201735,
      -0.0014914132518563162,
      -0.0015413775719167197,
      -0.0015905160051651853,
      -0.001638842160512247,
      -0.0016863694858237578,
      -0.0017331110852622585,
      -0.0017790799807431998,
      -0.001824288870315194,
      -0.0018687503435069978,
      -0.0019124768225768456,
      -0.001955480471355648,
      -0.001997773312967325,
      -0.002039367035194926,
      -0.00208027318288639,
      -0.0021205030568959087,
      -0.0021600678983841205,
      -0.002198978703795118,
      -0.0022372463065070012,
      -0.002274881266479195,
      -0.0023118940644101327,
      -0.002348294971097262,
      -0.0023840941769687103,
      -0.002419301602906675,
      -0.0024539269647898994,
      -0.002487980040548654,
      -0.0025214702441459665,
      -0.0025544067072163458,
      -0.002586798702978926,
      -0.002618655097108097,
      -0.002649984885341394,
      -0.0026807968534351906,
      -0.0027110994906657244,
      -0.0027409012524354363,
      -0.0027702103133088168,
      -0.0027990348473238198,
      -0.0028273828691907617,
      -0.0028552622722622847,
      -0.0028826808401941338,
      -0.0029096461632405605,
      -0.0029361656296352737,
      -0.0029622467093674077,
      -0.002987896652445089,
      -0.003013122593874749,
      -0.0030379315942423804
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334516782873324,
      10.092836346907639,
      9.844545301063743,
      9.592507476392477,
      9.33927680413236,
      9.087051192317547,
      8.837657629122699,
      8.592546340639977,
      8.352784119642633,
      8.119074794270844,
      7.8917964877605185,
      7.6710491868086725,
      7.456707999678815,
      7.248477633872985,
      7.04594444656808,
      6.848623541445777,
      6.65599948362156,
      6.4675603294306265,
      6.282824493185111,
      6.101360870882396,
      5.922799645636276,
      5.746830371818201,
      5.573208992278817,
      5.4017746565736395,
      5.232443752837195,
      5.065196939218816,
      4.900094274449301,
      4.737305220445867,
      4.577098899307941,
      4.419783784098522,
      4.26569414539179,
      4.115195316349386,
      3.9686747528257635,
      3.8265108756647557,
      3.689058756986619,
      3.5566375850665866,
      3.429520826688066,
      3.307929629024261,
      3.1920281535879504,
      3.081919067527337,
      2.9776310983571026,
      2.879121713180391,
      2.7862698398424652,
      2.6988686403099886,
      2.61666622627791,
      2.5394096783187696,
      2.4668350458491353,
      2.3986761966926813,
      2.334665985346629,
      2.2745192058410812,
      2.2178975961088723,
      2.1644236249096287,
      2.113758950164379,
      2.0655756270977013,
      2.0195714141504517,
      1.9754869313375616,
      1.9331154449910277,
      1.8922825302998258,
      1.852844202734024,
      1.814682765482368,
      1.7776930061108502,
      1.741787417068837,
      1.7068957444152273,
      1.6729591590227335,
      1.639927138034145,
      1.6077553705975671,
      1.5764042926726298,
      1.545838072349208,
      1.5160262125288337,
      1.4869447277569927,
      1.4585715296897253,
      1.430883982490161,
      1.4038590754222555,
      1.377472845789595,
      1.3517023700568973,
      1.3265260983838363,
      1.3019236725252203,
      1.2778757980138487,
      1.2543641449262444,
      1.231371268261151,
      1.2088805434412877,
      1.1868761103742382,
      1.1653428231824667,
      1.144266392343354,
      1.123634274296546,
      1.1034350522625918,
      1.0836578754724353,
      1.0642919079662347,
      1.0453262521997242,
      1.0267501275531066,
      1.0085529775136621,
      0.9907245297662436,
      0.9732548295358862,
      0.9561342529477427,
      0.9393535100783628,
      0.9229036410332131,
      0.906776008104173,
      0.8909622846985921,
      0.8754544436443215,
      0.8602447455762952,
      0.8453257257063637,
      0.8306901825016413,
      0.8163311653265553,
      0.8022419638908767,
      0.7884160968938858,
      0.7748473022811418,
      0.7615295267913356,
      0.7484569171677758,
      0.7356238109504698,
      0.7230247285490796,
      0.7106543653142725,
      0.6985075835652295,
      0.6865794056701011,
      0.6748650075916822,
      0.6633597120542972,
      0.6520589826166938,
      0.6409584179749677,
      0.630053746527515,
      0.6193408207983253,
      0.6088156079274166,
      0.5984741369791913,
      0.5883125338449244,
      0.578327059067424,
      0.5685140932953816,
      0.5588701274199153,
      0.5493917532304443,
      0.5400756581439337,
      0.53091893762746,
      0.5219194764446933,
      0.5130749877797653,
      0.5043829429036738,
      0.49584068605546255,
      0.4874455074979004,
      0.47919468778167434,
      0.4710855255767885,
      0.4631153546559694,
      0.45528155331858916,
      0.4475815502272187,
      0.4400128271316772,
      0.43257292029339345,
      0.42525941987074295,
      0.4180700366874955,
      0.41100281475026473,
      0.40405581777488087,
      0.39722702809951377,
      0.3905143941266625,
      0.38391585976314907,
      0.37742938269768483,
      0.3710529453077783,
      0.3647845611219063,
      0.3586222787544728,
      0.35256421992175396,
      0.34660867835067954,
      0.3407539596103776,
      0.33499834559460295,
      0.3293401170216316,
      0.3237775665042242,
      0.31830900724679895,
      0.31293277744670506,
      0.3076472506094128,
      0.30245086072922034,
      0.29734206730739743,
      0.2923193458370066,
      0.28738119266568074,
      0.28252612785446773,
      0.27775269700404076,
      0.2730594717542891,
      0.2684450502753955,
      0.2639080570058989,
      0.2594469730090684,
      0.25506021224245945,
      0.2507463156773585,
      0.24650391676642022,
      0.24233171653742538,
      0.23822846711961013,
      0.2341929608070061,
      0.2302240234770786,
      0.2263205971417752,
      0.22248200348658326,
      0.21870754357853844,
      0.21499637812403496,
      0.21134758539108855,
      0.20776019790637384,
      0.20423322561854187,
      0.20076567071897275,
      0.1973565372179994,
      0.19400477777587857,
      0.19070929494557734,
      0.18746904325790364,
      0.18428302620243459,
      0.18115028454023854,
      0.17806988859866477,
      0.17504093343225188,
      0.17206253549744996,
      0.1691338302441703,
      0.16625397071847106,
      0.1634221261663489,
      0.160637481577112,
      0.1578992371398803,
      0.1552066074166766,
      0.15255882099200754,
      0.1499551202805736,
      0.14739476097844056,
      0.1448770119387594,
      0.1424011548673399,
      0.13996648406084664,
      0.13757230616816715,
      0.1352179399621249,
      0.13290271605066611,
      0.1306259766103834,
      0.12838707522409348,
      0.12618537663852858,
      0.1240202567082061,
      0.12189110194070184,
      0.11979730931035712,
      0.11773828640350394,
      0.11571345088421583,
      0.11372223050747718,
      0.11176406270671041,
      0.10983839462531478,
      0.10794468271564911,
      0.10608239289597576,
      0.1042510001914033,
      0.10244998849435498,
      0.10067885053212088,
      0.09893708762207057,
      0.09722420965318591,
      0.09553973477202264,
      0.09388318921744257,
      0.09225410742478489,
      0.09065203164254364,
      0.08907651181805962,
      0.0875271056306065,
      0.08600337823927905,
      0.08450490203201223,
      0.08303125668275499,
      0.08158202890969209,
      0.08015681245891318,
      0.07875520782972592,
      0.07737682233906837,
      0.07602126979337398,
      0.0746881705588434,
      0.07337715148385353,
      0.07208784566964506,
      0.07081989227631924,
      0.06957293654461812,
      0.06834662971266206,
      0.06714062874479,
      0.0659545964627058,
      0.06478820133233419,
      0.06364111726834402,
      0.06251302375759703,
      0.06140360565312612,
      0.06031255307718994,
      0.059239561337530174,
      0.05818433072575047,
      0.05714656644887165,
      0.05612597890719467,
      0.055122283173164324,
      0.0541351991438397,
      0.053164451389720195,
      0.05220976908478894,
      0.051270885832998984,
      0.05034753965759079,
      0.049439473013450204,
      0.048546432692268375,
      0.04766816977905494,
      0.046804439277921356,
      0.0459550003065174,
      0.04511961614974014,
      0.044298054024458924,
      0.043490084823761044,
      0.04269548339706637,
      0.041914028326616684,
      0.041145501858510077,
      0.04038968978665157,
      0.03964638152598502,
      0.03891537003981972,
      0.03819645175264958,
      0.03748942632327605,
      0.03679409689458091,
      0.036110269797240316,
      0.03543775452620057,
      0.03477636383766286,
      0.03412591364201714,
      0.03348622285814307,
      0.0328571132222337,
      0.03223840952740866,
      0.0316299396455007,
      0.03103153412865919,
      0.030443026533778207,
      0.02986425289938977,
      0.029295052154932052,
      0.028735265904814466,
      0.02818473827374342,
      0.027643316092784198,
      0.027110848694822814,
      0.026587187885406614,
      0.026072187872142518,
      0.025565705400678387,
      0.02506759958231154,
      0.02457773184550978,
      0.02409596574983823,
      0.02362216738095579,
      0.023156204902809913,
      0.022697948576106793,
      0.022247270886579146,
      0.021804046471903038,
      0.0213681520509015,
      0.020939466392369016,
      0.020517870215712386,
      0.020103246232792214,
      0.019695479140170898,
      0.01929445553638347,
      0.018900063859360005,
      0.01851219432486413,
      0.018130739068749686,
      0.017755592017031373,
      0.017386648845446193,
      0.017023806869802573,
      0.016666965145980137,
      0.016316024608679185,
      0.015970887530366542,
      0.01563145788903618,
      0.015297641271615866,
      0.014969344904498928,
      0.014646477442772164,
      0.014328949108014065,
      0.01401667152720197,
      0.013709557939719222,
      0.013407523016070472,
      0.013110482663278885,
      0.012818354331286164,
      0.012531056752728677,
      0.012248510018798217,
      0.011970635545545696,
      0.011697356032864628,
      0.011428595517590422,
      0.011164279267069406,
      0.010904333874204019,
      0.010648687005239023,
      0.010397267562737808,
      0.01015000560407533,
      0.0099068323213027,
      0.009667680076724642,
      0.009432482519070796,
      0.009201174246913784,
      0.008973690870120562,
      0.008749969227999563,
      0.008529947077775,
      0.008313563168267368,
      0.00810075736257468,
      0.007891470395247159,
      0.007685644187244416,
      0.007483221471349828,
      0.007284146012929662,
      0.007088362440044372,
      0.006895816293472947,
      0.006706454067274432,
      0.00652022308797008,
      0.006337071689415207,
      0.006156948838331436,
      0.005979804487562787,
      0.0058055892711834575,
      0.005634254762671809,
      0.005465753361171371,
      0.005300038289033219,
      0.005137063427278649,
      0.004976783478205605,
      0.004819153781210779,
      0.004664130525428422,
      0.004511670756026688,
      0.004361732059169563,
      0.00421427271368321,
      0.004069251711743662,
      0.003926628699679609,
      0.0037863639467702478,
      0.0036484185646643696,
      0.003512754131983751,
      0.0033793329507820808,
      0.003248117987490718,
      0.003119072829313513,
      0.0029921615541056417,
      0.002867348901051143,
      0.0027446002212987122,
      0.0026238813035799505,
      0.002505158583860485,
      0.0023883988096173774,
      0.0022735696091463944,
      0.0021606391737076383,
      0.002049576113479314,
      0.0019403495315998653,
      0.0018329290874722665,
      0.0017272848963880375,
      0.0016233876225195654,
      0.0015212082935167637,
      0.0014207185558856598,
      0.001321890557176165,
      0.0012246967539899412,
      0.0011291101347591572,
      0.0010351041071252904,
      0.000942652578211782,
      0.0008517297820902043,
      0.0007623104331344196,
      0.0006743697285863334,
      0.0005878831938070359,
      0.0005028267389234576,
      0.00041917671683512544,
      0.0003369098495566749,
      0.0002560032959040534,
      0.00017643469538666828,
      9.818176857439381e-05,
      2.1222751514983918e-05,
      -5.4463753471689185e-05,
      -0.00012889886836823128,
      -0.00020210313402649398,
      -0.0002740968517423914,
      -0.00034490016295518405,
      -0.0004145326448169221,
      -0.00048301372423929453,
      -0.0005503624552808,
      -0.0006165974857348547,
      -0.0006817372702469452,
      -0.000745799958214392,
      -0.0008088034017402817,
      -0.0008707650726973949,
      -0.000931702131601146,
      -0.0009916315138532594,
      -0.001050569894515404,
      -0.001108533690158042,
      -0.0011655390980496246,
      -0.0012216018795686656,
      -0.0012767376704158507,
      -0.0013309618126865364,
      -0.0013842894091199522,
      -0.0014367350323518163,
      -0.0014883134436422792,
      -0.0015390389765305072,
      -0.0015889256949919797,
      -0.0016379875313162094,
      -0.0016862380990063312,
      -0.0017336908480766876,
      -0.0017803589397852684,
      -0.001826255349141626,
      -0.0018713928203496729,
      -0.0019157839551980052,
      -0.001959441084196579,
      -0.0020023762261034504,
      -0.0020446012813259465,
      -0.0020861282187655075,
      -0.002126968473685232,
      -0.0021671333807989743,
      -0.0022066341551913804,
      -0.0022454817326675756,
      -0.0022836870227438085,
      -0.002321260582373417,
      -0.002358212778384755,
      -0.0023945540063201837,
      -0.0024302942603320284,
      -0.0024654435352333887,
      -0.002500011700252493,
      -0.002534008251377098,
      -0.0025674427243547277,
      -0.0026003243054978148,
      -0.0026326620842211817,
      -0.002664465165047963,
      -0.002695742353417618,
      -0.002726502324055727,
      -0.0027567535783960756,
      -0.002786504688063512,
      -0.002815763902323182,
      -0.0028445392630946373,
      -0.002872838808369439,
      -0.002900670387372007,
      -0.0029280418060088267,
      -0.002954960660104332,
      -0.0029814343909581923,
      -0.003007470301560369,
      -0.003033075655582653,
      -0.003058257552751743,
      -0.003083022982507019
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33451256841622,
      10.092822663163298,
      9.844516655097447,
      9.592458980177579,
      9.339205018601382,
      9.08695379339396,
      8.837533295958444,
      8.592394458449375,
      8.352604519643064,
      8.11886759414313,
      7.891561967828276,
      7.670787694047516,
      7.45641988539108,
      7.24816322373377,
      7.045604033263883,
      6.848257392829612,
      6.655607868317128,
      6.467143529543553,
      6.282382857971857,
      6.1008949031897775,
      5.9223100653579195,
      5.746318197860637,
      5.572675505502764,
      5.401221365034939,
      5.231872310592196,
      5.064609160764471,
      4.899492408705947,
      4.736692406743647,
      4.576478597256881,
      4.419159474176601,
      4.265069315699639,
      4.114573623068396,
      3.9680597681239194,
      3.8259059725402667,
      3.688467047033254,
      3.5560618774875294,
      3.4289635842721187,
      3.307392960224101,
      3.191513811638445,
      3.0814283140046657,
      2.9771646014888007,
      2.8786795477866773,
      2.7858514156162224,
      2.698472766139051,
      2.6162914914867104,
      2.53905456748577,
      2.4664978326309854,
      2.398355112114298,
      2.334359271583481,
      2.274225078699576,
      2.21761371431277,
      2.1641477734583567,
      2.1134890605233663,
      2.065309765286829,
      2.019307993003445,
      1.9752247469839033,
      1.9328536048009868,
      1.8920203727989424,
      1.8525812597659868,
      1.8144186502327777,
      1.7774273634088908,
      1.7415199113912898,
      1.7066261154828326,
      1.6726872438255769,
      1.6396528410537712,
      1.6074786427138577,
      1.5761251167608301,
      1.545556537683408,
      1.51574266215163,
      1.4866596103946534,
      1.4582851518228521,
      1.430596557220054,
      1.403570762491077,
      1.3771837904683175,
      1.3514126826021757,
      1.3262358594958557,
      1.3016329433263762,
      1.2775846267636135,
      1.254072571945295,
      1.2310793298285838,
      1.2085882727322357,
      1.1865835378277798,
      1.1650499784355146,
      1.1439733144962783,
      1.123341122255059,
      1.1031420018109366,
      1.0833650559353702,
      1.0639994087967348,
      1.0450341371323066,
      1.026458443821576,
      1.0082617616210685,
      0.9904338115431897,
      0.9729646345446382,
      0.9558446040488203,
      0.9390644286211385,
      0.9226151473160205,
      0.9064881216646046,
      0.8906750247406107,
      0.8751678289407863,
      0.8599587943060701,
      0.8450404563444267,
      0.8304056130678946,
      0.816047313841825,
      0.801958847903614,
      0.7881337340363969,
      0.7745657099230132,
      0.7612487224692098,
      0.7481769178835922,
      0.7353446336532964,
      0.7227463900710487,
      0.7103768821425758,
      0.6982309717300355,
      0.6863036810525254,
      0.6745901858152091,
      0.663085808619353,
      0.6517860128218436,
      0.6406863967015143,
      0.6297826881406353,
      0.6190707394955335,
      0.6085465172389567,
      0.5982060495369145,
      0.5880454621591151,
      0.578061015759382,
      0.5682490910699484,
      0.5586061783682371,
      0.5491288692434781,
      0.539813850987161,
      0.5306583016933216,
      0.5216601080515915,
      0.5128169492546916,
      0.5041262747915176,
      0.4955854154601689,
      0.4871916522759662,
      0.47894226008917945,
      0.47083453399079495,
      0.46286580520988446,
      0.4550334505992124,
      0.4473348977230876,
      0.43976762759813276,
      0.43232917549840066,
      0.4250171313501882,
      0.4178292178873982,
      0.41076349520835065,
      0.40381801533196676,
      0.39699075313269055,
      0.3902796522469817,
      0.3836826535254994,
      0.3771977127614777,
      0.3708228111031326,
      0.3645559612025308,
      0.3583952108633189,
      0.35233868617482267,
      0.3463846874250223,
      0.34053151524470837,
      0.3347774484432059,
      0.3291207656785081,
      0.32355975831284667,
      0.31809273828792356,
      0.31271804321845575,
      0.3074340473511621,
      0.30223918558871377,
      0.2971319163196283,
      0.2921107141231889,
      0.2871740748554895,
      0.28232051814762643,
      0.2775485892790852,
      0.2728568598267955,
      0.2682439276194061,
      0.26370841692996533,
      0.2592488123283297,
      0.2548635278248489,
      0.2505511031140676,
      0.2463101708031576,
      0.24213943120824788,
      0.2380376358510789,
      0.234003576925723,
      0.23003608004095816,
      0.2261340828655636,
      0.2222969010989352,
      0.21852383933073602,
      0.21481406040451478,
      0.21116664401025692,
      0.20758062344894535,
      0.20405500912850752,
      0.20058880362708903,
      0.19718101091313295,
      0.19383057943580856,
      0.19053641170848556,
      0.187297463910827,
      0.1841127406752659,
      0.180981283492356,
      0.1779021631855986,
      0.17487447503526324,
      0.1718973356187778,
      0.1689698804590494,
      0.16609126248036232,
      0.16326065110137808,
      0.1604772313579141,
      0.15774020326411856,
      0.15504878145502013,
      0.15240219447922118,
      0.14979968467638763,
      0.14724050784374682,
      0.14472393278048254,
      0.14224924115481413,
      0.13981572727344085,
      0.13742269775331406,
      0.13506947132441932,
      0.13275537854072875,
      0.13047976155731403,
      0.12824197395510514,
      0.1260413805488177,
      0.1238773570763526,
      0.12174929011878201,
      0.11965657671665737,
      0.11759862429236412,
      0.1155748506178,
      0.11358468336314877,
      0.11162755997645721,
      0.10970292762592902,
      0.1078102427985968,
      0.10594897148934691,
      0.10411858874617214,
      0.10231857845605316,
      0.10054843332491815,
      0.09880765461997025,
      0.09709575223361487,
      0.09541224431793276,
      0.09375665730416032,
      0.09212852563190509,
      0.09052739151861186,
      0.08895280509279055,
      0.08740432392511158,
      0.08588151294769002,
      0.08438394467588567,
      0.0829111989444659,
      0.08146286251373887,
      0.08003852911361588,
      0.07863779947763658,
      0.07726028074616488,
      0.07590558678968863,
      0.07457333806943872,
      0.07326316140712655,
      0.071974689949593,
      0.07070756292703795,
      0.06946142556077112,
      0.06823592916088655,
      0.06703073078846764,
      0.06584549328223523,
      0.06467988506428067,
      0.06353358020220122,
      0.06240625825291254,
      0.06129760399025551,
      0.060207307533566214,
      0.05913506420632141,
      0.058080574471515954,
      0.0570435437621109,
      0.05602368228857493,
      0.05502070529367397,
      0.05403433270883659,
      0.053064289092383386,
      0.05211030360712742,
      0.05117210992608679,
      0.05024944619377076,
      0.04934205492434286,
      0.04844968299907491,
      0.047572081422791714,
      0.04670900534718622,
      0.045860214011065624,
      0.04502547062293204,
      0.04420454234455653,
      0.04339720024849477,
      0.04260321929938185,
      0.04182237797228122,
      0.04105445861233789,
      0.04029924713176524,
      0.039556533064100396,
      0.03882610941265675,
      0.03810777250609835,
      0.0374013221624516,
      0.0367065615706864,
      0.036023297026043836,
      0.03535133814835284,
      0.03469049778219028,
      0.03404059171832283,
      0.03340143889139366,
      0.032772861315615846,
      0.03215468386738552,
      0.03154673432692618,
      0.03094884329715435,
      0.03036084428672912,
      0.029782573492131148,
      0.02921386992115736,
      0.028654575190061874,
      0.02810453362981853,
      0.027563591970255364,
      0.027031599599881245,
      0.02650840840280055,
      0.025993872714120105,
      0.025487849310214552,
      0.024990197153549512,
      0.024500777757228746,
      0.024019454859252054,
      0.02354609445551703,
      0.023080564835404417,
      0.02262273635220809,
      0.022172481615789035,
      0.021729675216089685,
      0.02129419393867883,
      0.02086591668910042,
      0.020444724203268972,
      0.02003049912123032,
      0.019623126220732333,
      0.019222492131296353,
      0.018828485290979684,
      0.018440996088220963,
      0.018059916654897992,
      0.017685140959017,
      0.017316564694533965,
      0.016954085318107458,
      0.016597601914158183,
      0.016247015238405407,
      0.015902227824956698,
      0.01556314365519226,
      0.015229668430399695,
      0.014901709348149208,
      0.01457917508845875,
      0.014261975913814806,
      0.013950023584448126,
      0.013643231311265408,
      0.013341513721117245,
      0.01304478685895191,
      0.012752968125636532,
      0.012465976342397147,
      0.012183731591225877,
      0.011906155410465188,
      0.011633170633325023,
      0.011364701256906076,
      0.011100672570513647,
      0.010841011078578048,
      0.010585644638781899,
      0.010334502140734381,
      0.010087513697863277,
      0.009844610595792074,
      0.009605725277322974,
      0.009370791312570133,
      0.009139743297513476,
      0.008912516953664577,
      0.008689049110972404,
      0.00846927753659388,
      0.008253141129437883,
      0.00804057972501286,
      0.007831534164674924,
      0.0076259462925564,
      0.007423758892500583,
      0.00722491575643457,
      0.007029361540023667,
      0.00683704183805775,
      0.006647903104566794,
      0.006461892792672168,
      0.0062789592116742265,
      0.0060990514643873344,
      0.005922119450828777,
      0.0057481139964826065,
      0.005576986633767791,
      0.005408689709745297,
      0.005243176428769996,
      0.005080400827777194,
      0.004920317608652259,
      0.004762882215091961,
      0.004608050892829134,
      0.004455780524310635,
      0.004306028752165765,
      0.00415875390199775,
      0.004013915085835721,
      0.0038714719908197995,
      0.0037313849690490427,
      0.0035936149710607307,
      0.003458123640675554,
      0.003324873380417672,
      0.0031938270579541174,
      0.003064948178371789,
      0.0029382009314449214,
      0.002813550159621531,
      0.002690961181498039,
      0.00257039987846097,
      0.0024518328026246583,
      0.00233522686079387,
      0.002220549579110367,
      0.0021077690327485047,
      0.0019968538541631654,
      0.001887773211835021,
      0.0017804967464250393,
      0.0016749945278656518,
      0.001571237313313982,
      0.001469196247745183,
      0.0013688429669020438,
      0.0012701496324442588,
      0.0011730887844060127,
      0.00107763339241398,
      0.0009837568514289973,
      0.0008914329534946751,
      0.0008006361729646038,
      0.0007113411272450239,
      0.0006235229799143374,
      0.0005371573177411645,
      0.00045222017542708635,
      0.0003686879163245158,
      0.00028653736225195013,
      0.00020574552434477004,
      0.00012629004082354524,
      4.814877747424762e-05,
      -2.8700030269511865e-05,
      -0.00010427773553565519,
      -0.00017860540196963689,
      -0.0002517036510970413,
      -0.0003235928578144105,
      -0.0003942930585186472,
      -0.00046382399180924447,
      -0.0005322047877003765,
      -0.0005994545199638682,
      -0.000665592020133823,
      -0.0007306355635435832,
      -0.00079460317626942,
      -0.0008575127887158773,
      -0.000919381803342074,
      -0.0009802275130550405,
      -0.0010400668380637032,
      -0.0010989164497425608,
      -0.0011567927152039592,
      -0.0012137117106102125,
      -0.0012696892015586882,
      -0.0013247408324223253,
      -0.001378881894809331,
      -0.0014321274705759556,
      -0.0014844924527240599,
      -0.001535991254059447,
      -0.0015866382136902365,
      -0.0016364475133170216,
      -0.001685432965634486,
      -0.0017336081832950532,
      -0.0017809865686810047,
      -0.0018275812136567544,
      -0.0018734050846808984,
      -0.0019184709847582671,
      -0.001962791482645257,
      -0.0020063790132608776,
      -0.0020492456337629986,
      -0.0020914032681958713,
      -0.0021328636397985636,
      -0.0021736382723178452,
      -0.002213738459075478,
      -0.0022531753518548647,
      -0.0022919599347182846,
      -0.0023301029652332754,
      -0.002367615086697949,
      -0.0024045067173126887,
      -0.0024407882438583013,
      -0.0024764696678514285,
      -0.002511560886609201,
      -0.002546071764146357,
      -0.0025800119150510468,
      -0.0026133906725740556,
      -0.0026462172842374905,
      -0.002678500922596728,
      -0.002710250600469818,
      -0.002741475142658278,
      -0.002772183182413288,
      -0.002802383348184227,
      -0.0028320840300868613,
      -0.0028612934574377895,
      -0.002890019737573008,
      -0.0029182708938693745,
      -0.0029460547891432547,
      -0.0029733790483837475,
      -0.003000251279526136,
      -0.003026679109723076,
      -0.0030526697952904407,
      -0.0030782305685688473,
      -0.0031033685770597646,
      -0.0031280907777551862
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334508344399406,
      10.092808945272257,
      9.84448793515066,
      9.592410358264988,
      9.33913304554116,
      9.086856136278518,
      8.837408628326987,
      8.592242162264789,
      8.352424424236906,
      8.118659816854528,
      7.891326786345775,
      7.670525453589244,
      7.45613093919978,
      7.247847899069837,
      7.045262621952461,
      6.847890162837333,
      6.655215089114093,
      6.466725482281613,
      6.281939892530542,
      6.100427523775958,
      5.9218189926433356,
      5.7458044512703035,
      5.572140367143433,
      5.4006663443932155,
      5.231299061663011,
      5.064019500129952,
      4.898888588703395,
      4.736077573905638,
      4.575856217362488,
      4.418533034680209,
      4.264442318547589,
      4.113949737635105,
      3.9674425743926274,
      3.8252988512755137,
      3.6878731180783197,
      3.5554839569644696,
      3.4284041420046694,
      3.3068541007651326,
      3.1909972854989643,
      3.0809353902457013,
      2.9766959534163906,
      2.878235254181327,
      2.7854308898085,
      2.698074819417006,
      2.6159147166939074,
      2.5386974519816397,
      2.4661586505743305,
      2.3980320943302784,
      2.3340506593914374,
      2.2739290866991966,
      2.217328000005476,
      2.163870119859408,
      2.113217398582021,
      2.0650421602874216,
      2.019042857132425,
      1.9749608756093924,
      1.9325901049030023,
      1.891756582236906,
      1.8523167098360775,
      1.8141529528663036,
      1.7771601629878195,
      1.7412508714419674,
      1.7063549745386817,
      1.6724138384812401,
      1.6393770757910247,
      1.6072004684120262,
      1.5758445155919483,
      1.5452735985430561,
      1.5154577282929074,
      1.4863731304380532,
      1.4579974320406002,
      1.4303078103611895,
      1.403281153609133,
      1.3768934672774298,
      1.3511217514343128,
      1.3259443980900554,
      1.3013410110677868,
      1.277292271251282,
      1.253779833567135,
      1.2307862437827086,
      1.2082948713941821,
      1.1862898520391494,
      1.1647560374603214,
      1.1436791570545664,
      1.1230469181148004,
      1.1028479218653968,
      1.0830712262672924,
      1.0637059161956828,
      1.0447410435021718,
      1.0261657955012187,
      1.0079695944947566,
      0.9901421549489261,
      0.9726735136294304,
      0.9555540411854208,
      0.9387744446512408,
      0.9223257622664875,
      0.9061993547350031,
      0.8903868947314871,
      0.8748803544637352,
      0.8596719936222208,
      0.844754347341006,
      0.8301202137292494,
      0.8157626418929543,
      0.8016749211015811,
      0.7878505699652957,
      0.7742833258274783,
      0.7609671350489366,
      0.7478961438890861,
      0.7350646898084783,
      0.7224672927298181,
      0.7100986475189135,
      0.6979536161166484,
      0.6860272203684242,
      0.6743146358538286,
      0.6628111844730349,
      0.6515123294644587,
      0.6404136685687101,
      0.6295109294632939,
      0.6187999642925162,
      0.6082767389196073,
      0.5979372807471595,
      0.5877777157108947,
      0.5777943043063,
      0.5679834270287749,
      0.5583415737050708,
      0.5488653359638666,
      0.5395514007285106,
      0.5303970288082791,
      0.5214001090600072,
      0.5125582865714511,
      0.5038689889368201,
      0.4953295332480977,
      0.48693719174614275,
      0.4786892334942183,
      0.47058294979190735,
      0.4626156693156609,
      0.4547847673098746,
      0.44708767023103746,
      0.4395218584027776,
      0.4320848666097176,
      0.42477428415474033,
      0.4175878475043428,
      0.410523630451839,
      0.40357967351703494,
      0.3967539443572316,
      0.39004438206379455,
      0.38344892439724354,
      0.3769655251449379,
      0.37059216403878265,
      0.36432685294565414,
      0.35816763907637067,
      0.3521126570433879,
      0.34616020832842265,
      0.3403085891206353,
      0.3345560752817737,
      0.3289009433781189,
      0.323341483652789,
      0.31787600727076176,
      0.3125028512539293,
      0.3072203905413451,
      0.3020270610348779,
      0.2969213199227228,
      0.2919016410881291,
      0.2869665197061911,
      0.28211447499226416,
      0.2773440519566713,
      0.2726538219743865,
      0.2680423826854976,
      0.2635083582872079,
      0.2590502367802642,
      0.25466643233026287,
      0.25035548312711164,
      0.24611602084375359,
      0.24194674530097,
      0.23784640748916308,
      0.2338137991846211,
      0.22984774582848108,
      0.2259471807193942,
      0.222111413797899,
      0.21833975302173883,
      0.21463136348420048,
      0.2109853262060516,
      0.2074006752984216,
      0.2038764217405821,
      0.2004115683169609,
      0.1970051192699263,
      0.19365601866996304,
      0.1903631688111969,
      0.18712552781246208,
      0.18394210143472406,
      0.18081193168065124,
      0.17773408988105363,
      0.1747076716167066,
      0.1717317935014227,
      0.16880559110361715,
      0.16592821755430462,
      0.16309884225827997,
      0.16031665019479638,
      0.15758084127130964,
      0.15489063011749615,
      0.15224524532047906,
      0.1496439291680763,
      0.14708593736544145,
      0.1445705387760887,
      0.14209701511040546,
      0.13966466065668748,
      0.13727278194588202,
      0.13492069765569642,
      0.13260773829521236,
      0.13033324605158025,
      0.1280965745062633,
      0.12589708844914213,
      0.12373416361182471,
      0.12160718657460351,
      0.11951555443320382,
      0.11745867457505739,
      0.11543596467166668,
      0.1134468526023525,
      0.1114907757805367,
      0.10956718123580166,
      0.10767552560638799,
      0.10581527475553078,
      0.10398590367921794,
      0.10218689632280696,
      0.10041774548497027,
      0.09867795253483183,
      0.09696702735494593,
      0.09528448823688748,
      0.09362986150616415,
      0.09200268150541988,
      0.09040249051610304,
      0.08882883859915686,
      0.08728128343093969,
      0.08575939019108343,
      0.08426273145108296,
      0.08279088689152386,
      0.08134344331789894,
      0.07991999444058792,
      0.07852014095305791,
      0.07714349025948095,
      0.07578965622623308,
      0.07445825942111024,
      0.07314892657476989,
      0.07186129073244334,
      0.07059499130133942,
      0.06934967360568615,
      0.06812498883220344,
      0.06692059414350547,
      0.06573615252036703,
      0.06457133246009414,
      0.06342580796217456,
      0.06229925869332709,
      0.061191369378071916,
      0.060101830270738954,
      0.059030336731393004,
      0.057976589158032804,
      0.05694029301413019,
      0.05592115874113705,
      0.05491890154961854,
      0.0539332414446371,
      0.05296390298271518,
      0.052010615357522286,
      0.05107311235049975,
      0.05015113214587611,
      0.049244417333989036,
      0.04835271474690907,
      0.047475775405400746,
      0.046613354577183894,
      0.045765211526777656,
      0.04493110954779722,
      0.04411081588952466,
      0.04330410163829893,
      0.04251074172766507,
      0.041730514820188004,
      0.04096320334059072,
      0.040208593191956084,
      0.03946647397206432,
      0.03873663865679782,
      0.03801888384368228,
      0.03731300928367597,
      0.03661881806819108,
      0.03593611660556652,
      0.03526471466173601,
      0.0346044249999399,
      0.033955063560188854,
      0.033316449332777325,
      0.03268840426262738,
      0.03207075343220994,
      0.03146332464585742,
      0.03086594862901592,
      0.03027845892683825,
      0.029700691680305757,
      0.02913248601028027,
      0.028573683579570967,
      0.028024128629492603,
      0.027483668096302274,
      0.02695215141978762,
      0.02642943050173927,
      0.025915359623087615,
      0.02540979555448942,
      0.024912597568701553,
      0.02442362713172141,
      0.023942748028846276,
      0.023469826359605924,
      0.023004730261704312,
      0.022547330241113984,
      0.022097498932361796,
      0.021655111127773158,
      0.021220043516381265,
      0.020792175015436933,
      0.02037138642318063,
      0.019957560499372754,
      0.01955058196406222,
      0.019150337650339168,
      0.018756716041862895,
      0.01836960748487595,
      0.017988904204025703,
      0.017614500217113357,
      0.017246291193207263,
      0.01688417470559762,
      0.016528049887478795,
      0.016177817513824706,
      0.01583338003219016,
      0.015494641638465114,
      0.01516150798390871,
      0.014833886333439666,
      0.014511685418090696,
      0.014194815541840497,
      0.013883188605020396,
      0.01357671782259936,
      0.013275317752821312,
      0.0129789044964732,
      0.012687395603231623,
      0.012400709869231707,
      0.012118767527455727,
      0.01184149002389824,
      0.011568800212058817,
      0.011300622164874626,
      0.01103688121399208,
      0.010777503962277262,
      0.010522418199375522,
      0.01027155292378312,
      0.01002483828061486,
      0.009782205650157295,
      0.009543587423193134,
      0.009308917130097377,
      0.00907812951728628,
      0.008851160386524927,
      0.008627946457468819,
      0.008408425654001113,
      0.008192536873120895,
      0.007980219986985232,
      0.007771415874103166,
      0.00756606642271093,
      0.007364114525482067,
      0.007165503849017786,
      0.006970179102415179,
      0.0067780860050435775,
      0.006589171066935006,
      0.006403381722513332,
      0.006220666276877459,
      0.006040973855581055,
      0.005864254459499381,
      0.005690458908574783,
      0.005519538686848651,
      0.005351446337279539,
      0.005186135084639167,
      0.005023558861936983,
      0.0048636723839704105,
      0.004706431230641996,
      0.004551791640313015,
      0.004399710631036953,
      0.004250145742684507,
      0.004103055372841892,
      0.003958398632477272,
      0.0038161351983431644,
      0.0036762254216778337,
      0.003538630388958056,
      0.00340331186456291,
      0.0032702322106072518,
      0.0031393543538639837,
      0.0030106418180698776,
      0.0028840588353830237,
      0.002759570161541832,
      0.002637141198118582,
      0.002516737659460196,
      0.0023983261763486858,
      0.0022818737765866633,
      0.002167348022910203,
      0.0020547171082104685,
      0.0019439496925800345,
      0.0018350148884786017,
      0.0017278824129291926,
      0.0016225223794160677,
      0.0015189055434990512,
      0.001417002939689052,
      0.0013167862002798334,
      0.001218227514091848,
      0.0011212995044634336,
      0.0010259751855011907,
      0.0009322279767971058,
      0.0008400318092976611,
      0.0007493609145165984,
      0.000660190105264149,
      0.0005724945747180349,
      0.0004862500728916241,
      0.00040143249313367394,
      0.00031801825478017004,
      0.00023598403863976116,
      0.0001553070836121351,
      7.59649510312927e-05,
      -2.0645254586400047e-06,
      -7.880302774110631e-05,
      -0.0001542719402701948,
      -0.00022849227486775,
      -0.000301484683308783,
      -0.0003732693602651516,
      -0.0004438664025036369,
      -0.0005132954616210753,
      -0.0005815757702731848,
      -0.000648726516589134,
      -0.0007147663533828784,
      -0.0007797135351461618,
      -0.0008435860785679354,
      -0.0009064018462238783,
      -0.0009681782537567334,
      -0.0010289325802696645,
      -0.001088681711677389,
      -0.0011474423023450512,
      -0.001205230738846142,
      -0.0012620631469016938,
      -0.0013179553275611813,
      -0.0013729227491215553,
      -0.0014269807288556946,
      -0.0014801444358813194,
      -0.0015324285880437805,
      -0.001583847719808334,
      -0.0016344161309836394,
      -0.0016841478347696633,
      -0.0017330567210381677,
      -0.0017811563816087785,
      -0.0018284601956793396,
      -0.0018749813567206263,
      -0.0019207328734623904,
      -0.001965727423834871,
      -0.0020099775255219485,
      -0.0020534954896670268,
      -0.002096293462933916,
      -0.0021383834370121693,
      -0.0021797770284015493,
      -0.002220485778571158,
      -0.002260521078462373,
      -0.002299894066869946,
      -0.0023386155976778907,
      -0.0023766964099059796,
      -0.0024141472078775023,
      -0.0024509784363352205,
      -0.002487200302004949,
      -0.002522822845661472,
      -0.002557856083504127,
      -0.002592309728051659,
      -0.0026261933600809613,
      -0.0026595163326390806,
      -0.0026922879222602038,
      -0.002724517384537711,
      -0.0027562136975854403,
      -0.002787385578480789,
      -0.0028180416510920304,
      -0.002848190466825056,
      -0.002877840551461405,
      -0.0029070000628970386,
      -0.002935677154067171,
      -0.002963879788897259,
      -0.0029916157223435686,
      -0.003018892798236959,
      -0.003045718566432923,
      -0.0030721005670764794,
      -0.0030980460674752243,
      -0.003123562205231136,
      -0.003148656308715786,
      -0.0031733352898581433
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334504115095005,
      10.092795346215812,
      9.844459565296802,
      9.59236226873567,
      9.33906174466661,
      9.086759255269158,
      8.837284808071399,
      8.592090754559214,
      8.35224523567141,
      8.118452948037492,
      7.8910925008518396,
      7.670264086520082,
      7.455842835479022,
      7.247533379705395,
      7.044921976094041,
      6.847523657400966,
      6.654822992095438,
      6.466308075371747,
      6.28149752540422,
      6.099960702832328,
      5.92132844030329,
      5.745291186352362,
      5.571605670090978,
      5.400111723431272,
      5.230726172054934,
      5.063430158852355,
      4.898285049094335,
      4.735462983191265,
      4.5752340446573205,
      4.417906769341067,
      4.263815463694321,
      4.1133259646034395,
      3.966825464890825,
      3.824691787044756,
      3.687279218788221,
      3.5549060392564757,
      3.4278446757132714,
      3.3063151790830614,
      3.1904806501019323,
      3.0804423132172083,
      2.9762271115564953,
      2.877790729777745,
      2.785010099203341,
      2.6976765774267792,
      2.6155376310198872,
      2.538340010202117,
      2.4658191288642763,
      2.39770872465358,
      2.333741684746506,
      2.2736327221313237,
      2.2170419032594517,
      2.163592075303785,
      2.1129453383507704,
      2.064774151494421,
      2.0187773140822407,
      1.974696595893489,
      1.932326197482078,
      1.891492386603276,
      1.8520517574009931,
      1.8138868570580826,
      1.7768925683977868,
      1.7409814419442158,
      1.7060834499173754,
      1.6721400562656594,
      1.6391009403719148,
      1.6069219300635118,
      1.5755635568956463,
      1.54499030824511,
      1.5151724497040113,
      1.4860863130064774,
      1.4577093822671228,
      1.4300187402210018,
      1.4029912310619053,
      1.3766028418470306,
      1.3508305283399844,
      1.3256526545479488,
      1.3010488061253596,
      1.276999652561665,
      1.2534868408472404,
      1.2304929123630317,
      1.2080012334690182,
      1.18599593749977,
      1.1644618752254463,
      1.1433848455635944,
      1.1227526520636808,
      1.1025538393333372,
      1.0827774324281048,
      1.0634124849392408,
      1.0444480283131048,
      1.0258732369349945,
      1.0076775250751153,
      0.989850601747986,
      0.9723825001607678,
      0.9552635894285145,
      0.9384845749202181,
      0.922036494078277,
      0.9059107070499446,
      0.8900988857707424,
      0.8745930026301533,
      0.8593853171349584,
      0.8444683641612162,
      0.8298349416746984,
      0.8154780988407733,
      0.8013911249745607,
      0.7875675382735347,
      0.7740010759335507,
      0.7606856842684302,
      0.7476155093499599,
      0.7347848883235628,
      0.7221883410903577,
      0.7098205619877516,
      0.6976764126983034,
      0.6857509149915416,
      0.6740392437798762,
      0.6625367211687055,
      0.6512388097864357,
      0.6401411073362241,
      0.6292393410546447,
      0.6185293626895948,
      0.6080071376150088,
      0.5976686925647599,
      0.587510153329147,
      0.5775277803407324,
      0.5677179539277415,
      0.5580771637650682,
      0.5486020011590396,
      0.5392891527355829,
      0.5301359619879922,
      0.5211403196042137,
      0.5122998365859195,
      0.5036119193883213,
      0.49507387085679616,
      0.4866829542982111,
      0.47843643318512574,
      0.4703315949670309,
      0.46236576601390633,
      0.4545363198519935,
      0.446840681796636,
      0.43927633139404365,
      0.4318408028547267,
      0.4245316850014965,
      0.4173467377220598,
      0.4102840349366293,
      0.40334160720674256,
      0.3965174160185856,
      0.389809396220741,
      0.38321548306323205,
      0.37673362852331477,
      0.3703618110857042,
      0.3640980417721663,
      0.35794036726720735,
      0.3518869314604127,
      0.3459360355174655,
      0.34008597158244036,
      0.3343350128237628,
      0.3286814341353367,
      0.3231235243106909,
      0.3176595937631129,
      0.3122879789337414,
      0.3070070561404432,
      0.301815261318224,
      0.29671105060796493,
      0.29169289710679897,
      0.28675929545992584,
      0.2819087646171784,
      0.2771398493807919,
      0.2724511206288563,
      0.2678411759245335,
      0.2633086392837144,
      0.258852002299301,
      0.2544696794275719,
      0.25016020733670263,
      0.24592221685108379,
      0.24175440694898545,
      0.2376555282379968,
      0.23362437222470428,
      0.22965976426774934,
      0.22576063321622844,
      0.22192628313424836,
      0.2181560254846363,
      0.21444902754433579,
      0.21080437159910992,
      0.2072210924662232,
      0.2036982016173338,
      0.20023470214166722,
      0.19682959841159145,
      0.193481830330707,
      0.1901903000963324,
      0.18695396754599564,
      0.1837718394625676,
      0.1806429587241364,
      0.1775663968840131,
      0.17454124972860302,
      0.171566634041573,
      0.16864168560150933,
      0.16576555757407946,
      0.16293741927941893,
      0.16015645587397198,
      0.15742186722698578,
      0.15473286798746033,
      0.152088686608863,
      0.14948856537757374,
      0.14693175986835055,
      0.1444175389894304,
      0.14194518442281137,
      0.1395139903482665,
      0.13712326338103814,
      0.13477232210642753,
      0.13246049710107455,
      0.13018713054413908,
      0.12795157603500965,
      0.12575319833048457,
      0.12359137314138466,
      0.12146548705192582,
      0.11937493709705217,
      0.11731913072884297,
      0.11529748564365645,
      0.11330942954011142,
      0.11135439992172658,
      0.10943184393075356,
      0.10754121818820579,
      0.10568198856271926,
      0.10385363014784112,
      0.1020556268564103,
      0.10028747147053661,
      0.09854866534529197,
      0.09683871837739995,
      0.09515714872212583,
      0.09350348289493846,
      0.09187725528423207,
      0.09027800831507522,
      0.08870529199108372,
      0.08715866404810849,
      0.08563768967045267,
      0.08414194135075563,
      0.08267099884193932,
      0.08122444895696966,
      0.07980188548573847,
      0.07840290915863364,
      0.07702712729476595,
      0.07567415391266388,
      0.07434360952749589,
      0.07303512107361346,
      0.07174832171036812,
      0.07048285071700446,
      0.06923835336855787,
      0.0680144809222724,
      0.06681089059118932,
      0.06562724531019287,
      0.06446321374276383,
      0.06331847006684053,
      0.06219269386364192,
      0.06108557004232183,
      0.05999678883215605,
      0.058926045587657384,
      0.05787304081273026,
      0.05683747990855967,
      0.05581907334045634,
      0.05481753636540671,
      0.05383258902239092,
      0.05286395609331455,
      0.05191136683945721,
      0.05097455499355758,
      0.05005325880708884,
      0.049147220834242056,
      0.04825618803750059,
      0.04737991152863324,
      0.04651814649356011,
      0.04567065230440758,
      0.044837192291367615,
      0.04401753382848359,
      0.043211448021304846,
      0.042418709895518,
      0.0416390980976809,
      0.04087239496300352,
      0.040118386651310685,
      0.039376862747237326,
      0.03864761626800014,
      0.037930443776684926,
      0.037225145136484554,
      0.03653152351347414,
      0.03584938543645179,
      0.035178540672268346,
      0.0345188020821255,
      0.03386998561672395,
      0.033231910342616786,
      0.0326043982704347,
      0.03198727441714091,
      0.03138036677192648,
      0.030783506018669405,
      0.030196525689263138,
      0.029619262098540246,
      0.029051554385384513,
      0.028493244284935545,
      0.027944176235386607,
      0.02740419709416173,
      0.026873156194503624,
      0.02635090545618496,
      0.025837299436297336,
      0.025332194970131613,
      0.024835451215575514,
      0.024346929719299637,
      0.023866494371091746,
      0.023394011335603152,
      0.022929348942176825,
      0.022472377544681378,
      0.0220229698475557,
      0.021581000706241516,
      0.02114634695543732,
      0.020718887441965022,
      0.02029850300850755,
      0.01988507638298659,
      0.01947849249546477,
      0.019078638129186996,
      0.01868540183963139,
      0.01829867400128083,
      0.01791834696358738,
      0.017544314705311308,
      0.017176472972500332,
      0.016814719366305804,
      0.016458953125939754,
      0.016109075102883775,
      0.01576498765201315,
      0.01542659494873549,
      0.015093802835917339,
      0.014766518670865834,
      0.014444651223311317,
      0.014128110858197575,
      0.013816809362452926,
      0.013510659961531257,
      0.013209577430976782,
      0.01291347780669045,
      0.012622278736402454,
      0.012335899029283616,
      0.01205425894186931,
      0.01177728017724034,
      0.01150488541862034,
      0.01123699876413602,
      0.010973545613554132,
      0.01071445259198156,
      0.010459647573624928,
      0.010209059570730199,
      0.00996261874125365,
      0.009720256452126418,
      0.009481905264252287,
      0.009247498738106265,
      0.009016971516383861,
      0.008790259493865086,
      0.008567299489539404,
      0.008348029456723752,
      0.008132388296857179,
      0.007920315905968485,
      0.007711753174256943,
      0.007506642033963219,
      0.007304925346124595,
      0.00710654698151962,
      0.006911451727717617,
      0.006719585263154186,
      0.006530894134945833,
      0.006345325638099363,
      0.00616282833385726,
      0.00598335132606137,
      0.0058068446404974175,
      0.005633259015129986,
      0.005462546115010582,
      0.005294658457195068,
      0.005129549217467282,
      0.004967172479331833,
      0.004807483015465627,
      0.004650436262887575,
      0.004495988612476917,
      0.004344096995925642,
      0.004194719117563668,
      0.004047813307571974,
      0.003903338587101172,
      0.003761254825766986,
      0.0036215224757863355,
      0.003484102620352419,
      0.0033489570499431235,
      0.0032160480805521513,
      0.003085338647257935,
      0.0029567923498473366,
      0.002830373398768611,
      0.002706046703818268,
      0.0025837775263077463,
      0.002463531889916208,
      0.002345276281765201,
      0.0022289777246252956,
      0.002114603780792983,
      0.002002122692164707,
      0.0018915030198773464,
      0.0017827140430180513,
      0.0016757253893876466,
      0.0015705074128213002,
      0.0014670307903843184,
      0.0013652666362613498,
      0.001265186662013135,
      0.0011667629127309434,
      0.0010699679753784573,
      0.0009747748965565412,
      0.0008811571786092757,
      0.0007890887836869184,
      0.0006985440377591648,
      0.000609497765389253,
      0.0005219251780914522,
      0.00043580190427699176,
      0.00035110391246603157,
      0.00026780749993676517,
      0.00018588956840500775,
      0.00010532739337082847,
      2.6098407862244487e-05,
      -5.1819390125548416e-05,
      -0.00012844761934728327,
      -0.00020380772741559143,
      -0.0002779206234359349,
      -0.0003508070081302801,
      -0.0004224871560950633,
      -0.0004929810400153079,
      -0.0005623082244269936,
      -0.000630488050907598,
      -0.0006975395802885564,
      -0.000763481438454657,
      -0.0008283320614161761,
      -0.0008921094365311381,
      -0.0009548312879487055,
      -0.0010165150507886686,
      -0.0010771780538491873,
      -0.0011368371806970137,
      -0.0011955090441001823,
      -0.0012532099557495651,
      -0.0013099559331122498,
      -0.001365762813158822,
      -0.001420646193714749,
      -0.0014746213929028563,
      -0.0015277032929784111,
      -0.0015799066468868096,
      -0.0016312460852314467,
      -0.001681735913021847,
      -0.0017313900193683992,
      -0.001780222402913246,
      -0.0018282466541128003,
      -0.0018754761359012302,
      -0.0019219240171620162,
      -0.0019676031779569665,
      -0.002012526393856655,
      -0.0020567061059155274,
      -0.002100154698908803,
      -0.0021428841933527846,
      -0.0021849065538509472,
      -0.002226233513000221,
      -0.0022668765034181654,
      -0.002306846785055038,
      -0.002346155635726591,
      -0.0023848139946797547,
      -0.002422832664592794,
      -0.0024602221567825216,
      -0.002496992846911697,
      -0.0025331550285072587,
      -0.0025687187879789974,
      -0.0026036939424450545,
      -0.0026380902626629865,
      -0.0026719173524393917,
      -0.0027051845845652606,
      -0.0027379012520230756,
      -0.002770076451957958,
      -0.002801719261209117,
      -0.002832838479391848,
      -0.0028634426507523534,
      -0.0028935402693990985,
      -0.002923139717192154,
      -0.0029522493540356802,
      -0.0029808772833419812,
      -0.003009031428571567,
      -0.0030367196215181544,
      -0.003063949633069594,
      -0.0030907290828270846,
      -0.0031170652399475657,
      -0.00314296553531751,
      -0.0031684371325126186,
      -0.0031934871723995604,
      -0.0032181227119171423
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334499882231306,
      10.092781841368648,
      9.84443147656916,
      9.59231461841028,
      9.338991016535372,
      9.086663056196636,
      8.837161757538162,
      8.591940186300505,
      8.352066939492088,
      8.118247008127941,
      7.890859171745334,
      7.670003696202649,
      7.455555722240311,
      7.247219860847806,
      7.044582337237848,
      6.847158161997513,
      6.6544319074364005,
      6.465891682450266,
      6.281056173148044,
      6.0994949031995045,
      5.920838913696044,
      5.744778950745757,
      5.571072005645013,
      5.399558137890061,
      5.230154318436713,
      5.0628418529857555,
      4.8976825423067964,
      4.734849419565852,
      4.57461288918112,
      4.417281508257381,
      4.263189597296935,
      4.112703132209487,
      3.966209248812569,
      3.8240855698844065,
      3.6866861211993287,
      3.5543288779504034,
      3.4272859206785107,
      3.3057769227133593,
      3.1899646338251886,
      3.0799498088834616,
      2.9757587954988005,
      2.8773466839416018,
      2.7845897403603512,
      2.697278722073466,
      2.615160889136657,
      2.537982870971179,
      2.465479869766381,
      2.397385580073932,
      2.3334329000480047,
      2.273336514509363,
      2.216755934831308,
      2.163314135496734,
      2.1126733632159285,
      2.064506212173456,
      2.0185118295366373,
      1.974432368527171,
      1.9320623389232123,
      1.8912282387163415,
      1.8517868549655128,
      1.813620814149791,
      1.776625030661704,
      1.7407120793922817,
      1.7058120007376694,
      1.6718663568473844,
      1.6388248950348787,
      1.6066434895223705,
      1.5752827034650487,
      1.5447071308683655,
      1.5148872921517091,
      1.4857996248417342,
      1.4574214703735808,
      1.4297298174816602,
      1.4027014650915235,
      1.3763123816420118,
      1.350539478614665,
      1.325361092291492,
      1.3007567902850785,
      1.2767072304113176,
      1.2531940525146816,
      1.2301997929564867,
      1.2077078148881781,
      1.1857022500830403,
      1.164167948573503,
      1.1430907881423316,
      1.1224586555187344,
      1.1022600380302254,
      1.082483928938441,
      1.0631193513026083,
      1.044155317371002,
      1.0255809884834177,
      1.0073857707610037,
      0.9895593688172797,
      0.9720918126910957,
      0.9549734691333638,
      0.9381950421879559,
      0.9217475681787325,
      0.9056224069340608,
      0.8898112303463598,
      0.8743060102083434,
      0.8590990059296972,
      0.8441827523167579,
      0.8295500471773855,
      0.8151939395186998,
      0.8011077185855259,
      0.7872849026053641,
      0.7737192285364035,
      0.7604046423009078,
      0.7473352898197891,
      0.7345055079343707,
      0.7219098162039863,
      0.709542908777604,
      0.6973996470120891,
      0.6854750523800005,
      0.6737642999733843,
      0.662262711449592,
      0.6509657491396993,
      0.6398690105644583,
      0.6289682227560202,
      0.6182592369719544,
      0.607738017876304,
      0.5974005915424894,
      0.5872430836229079,
      0.5772617545446896,
      0.5674529844756075,
      0.5578132629199641,
      0.5483391806897495,
      0.5390274238137054,
      0.5298754185745632,
      0.5208810577985687,
      0.5120419186574933,
      0.5033553858335799,
      0.494818748256472,
      0.48642926057877023,
      0.4781841804275185,
      0.4700807916049668,
      0.4621164180210888,
      0.4542884316355386,
      0.4465942566724848,
      0.4390313716202357,
      0.4315973102408094,
      0.4242896608752011,
      0.4171062066012709,
      0.41004502181889513,
      0.40310412712860394,
      0.3962814774355346,
      0.3895750036217779,
      0.38298263839654006,
      0.37650233179484827,
      0.3701320612524139,
      0.3638698369653907,
      0.3577137050095842,
      0.35166181872317037,
      0.34571247897513074,
      0.3398639734899417,
      0.33411457285024043,
      0.32846255026972154,
      0.32290619346574695,
      0.31744381197810545,
      0.3120737413542325,
      0.3067943596769929,
      0.30160410267758364,
      0.29650142542861624,
      0.29148480020731155,
      0.2865527212342765,
      0.2817037070697524,
      0.2769363021964414,
      0.27224907748100613,
      0.2676406303739034,
      0.2631095846368024,
      0.2586544352163238,
      0.2542735967736094,
      0.2499656044829042,
      0.24572908830847506,
      0.24156274664130864,
      0.23746532960538447,
      0.2334356283875847,
      0.22947246802279442,
      0.22557477322764694,
      0.2217418422142318,
      0.21797298991153913,
      0.21426738558825434,
      0.21062411290765548,
      0.20704220759430234,
      0.20352068149583288,
      0.20005853797868448,
      0.1966547816193081,
      0.1933083481776884,
      0.19001813973956458,
      0.18678311773202197,
      0.18360228998318057,
      0.18047470005314184,
      0.17739942013395138,
      0.17437554620187448,
      0.17140219519530736,
      0.1684785028786412,
      0.16560362242394552,
      0.16277672330597465,
      0.15999699042955284,
      0.1572636239339388,
      0.15457583818464252,
      0.1519328616873739,
      0.14933393676625029,
      0.14677831907602593,
      0.14426527736104142,
      0.14179409326290057,
      0.13936406105680815,
      0.13697448720756153,
      0.1346246904184828,
      0.13231400111171715,
      0.1300417615859896,
      0.12780732538849998,
      0.1256100572237119,
      0.12344933290843797,
      0.12132453893484,
      0.11923507237171001,
      0.11718034070982171,
      0.11515976163796578,
      0.11317276279421874,
      0.111218781657199,
      0.1092972654304923,
      0.10740767073635768,
      0.10554946347328495,
      0.10372211869145305,
      0.10192512033942047,
      0.1001579611993203,
      0.09842014276897594,
      0.09671117487413267,
      0.09503057580516897,
      0.09337787200523937,
      0.09175259789471932,
      0.09015429583085446,
      0.08858251586578228,
      0.08703681577633364,
      0.0855167607257554,
      0.08402192342269561,
      0.08255188359990291,
      0.08110622804914115,
      0.07968455058857611,
      0.07828645194077664,
      0.07691153959372843,
      0.07555942763207703,
      0.07422973645186516,
      0.07292209308673954,
      0.07163613073368923,
      0.07037148860382106,
      0.06912781212526481,
      0.0679047526981526,
      0.06670196747450449,
      0.06551911944851041,
      0.06435587719925602,
      0.06321191498475305,
      0.06208691248494095,
      0.06098055458010598,
      0.059892531578397225,
      0.05882253893188235,
      0.05777027722310769,
      0.05673545191962347,
      0.055717773515344474,
      0.054716957325223435,
      0.05373272337397096,
      0.052764796410627576,
      0.05181290582326049,
      0.05087678538650148,
      0.04995617341061322,
      0.04905081264035323,
      0.04816044998580171,
      0.04728483657175717,
      0.046423727653004586,
      0.045576882707532095,
      0.04474406506240721,
      0.043925042049664395,
      0.043119584913123184,
      0.042327468742939044,
      0.041548472233979464,
      0.040782377814212616,
      0.04002897159013686,
      0.03928804325846971,
      0.0385593858406907,
      0.03784279593627877,
      0.03713807350265702,
      0.036445021820082885,
      0.03576344745651252,
      0.03509316017494418,
      0.03443397295478726,
      0.03378570180970607,
      0.03314816570579663,
      0.03252118682847034,
      0.031904590161851966,
      0.03129820368352398,
      0.03070185824620022,
      0.03011538747058355,
      0.029538627693380417,
      0.028971418046779142,
      0.028413600325981926,
      0.02786501896897089,
      0.027325520944497052,
      0.02679495573920435,
      0.026273175449666217,
      0.025760034471173764,
      0.02525538971081509,
      0.024759100422087905,
      0.024271028239511622,
      0.023791037012507992,
      0.02331899288984177,
      0.022854764234492266,
      0.022398221643044603,
      0.02194923771233449,
      0.021507687348945658,
      0.021073447310915403,
      0.02064639654604224,
      0.020226416093033536,
      0.019813388889055768,
      0.01940719980117578,
      0.019007735582587715,
      0.01861488477224937,
      0.018228537958120614,
      0.017848587354829068,
      0.017474927004762858,
      0.01710745283987658,
      0.016746062331231302,
      0.016390654748596818,
      0.016041131179244147,
      0.01569739409570095,
      0.015359347609653962,
      0.015026897496743425,
      0.01469995111339917,
      0.014378417307349442,
      0.014062206403470136,
      0.013751230373912146,
      0.013445402588498101,
      0.013144637716546004,
      0.012848851965062977,
      0.012557962876971928,
      0.012271889376916983,
      0.011990551714034871,
      0.011713871505457921,
      0.011441771645210229,
      0.01117417628064852,
      0.010911010871431854,
      0.010652202052000964,
      0.010397677698413885,
      0.010147366842600047,
      0.009901199794968127,
      0.009659107857931833,
      0.00942102363545985,
      0.009186880749470631,
      0.008956613923016988,
      0.00873015903585078,
      0.008507452980796108,
      0.0082884336835502,
      0.008073040126235257,
      0.007861212254217936,
      0.007652891020258726,
      0.007448018356558172,
      0.007246537207526919,
      0.007048391503221163,
      0.0068535259901284055,
      0.006661886236886707,
      0.006473418967934791,
      0.006288071618965639,
      0.006105792518640344,
      0.0059265309657838584,
      0.005750236852126279,
      0.005576861082799196,
      0.0054063554153886625,
      0.005238672289710915,
      0.0050737650101263885,
      0.004911587638617619,
      0.004752094998742278,
      0.004595242676730817,
      0.004440986866097054,
      0.004289284532831268,
      0.0041400934499526655,
      0.003993372108270659,
      0.0038490796106010693,
      0.0037071757848544393,
      0.0035676210199310403,
      0.003430376377329623,
      0.0032954036482490063,
      0.003162665273648972,
      0.003032124285852536,
      0.0029037443223979657,
      0.0027774896041929844,
      0.002653324979681471,
      0.002531215831223581,
      0.002411128021844436,
      0.0022930280985268264,
      0.002176883160808752,
      0.002062660865136331,
      0.0019503294952941425,
      0.0018398575896419107,
      0.0017312143838235415,
      0.0016243696454261247,
      0.0015192935934801343,
      0.001415956991508731,
      0.0013143310262709986,
      0.0012143874238049644,
      0.0011160982620907183,
      0.0010194361284964076,
      0.0009243741456983186,
      0.0008308858409163357,
      0.0007389451182374272,
      0.0006485263341807554,
      0.0005596043879225537,
      0.0004721544701365707,
      0.0003861522265056425,
      0.00030157366816078584,
      0.00021839515411270434,
      0.00013659342553246252,
      5.614587711900884e-05,
      -2.2969862655794837e-05,
      -0.00010077585366071335,
      -0.00017729375913510279,
      -0.0002525449497762173,
      -0.00032655049229774716,
      -0.00039933099671938865,
      -0.0004709066845251604,
      -0.0005412975317590701,
      -0.0006105231947022008,
      -0.0006786027816384095,
      -0.0007455553288160889,
      -0.0008113995887973043,
      -0.0008761540023453552,
      -0.0009398365035811524,
      -0.0010024648703525342,
      -0.0010640564823856137,
      -0.0011246284530166527,
      -0.0011841976201412575,
      -0.0012427807203512868,
      -0.0013003940795375225,
      -0.0013570537084922037,
      -0.0014127753468696116,
      -0.001467574569473575,
      -0.0015214667266691888,
      -0.0015744668008209391,
      -0.0016265895798932076,
      -0.001677849575319469,
      -0.0017282609137312588,
      -0.0017778376850754317,
      -0.0018265937560409656,
      -0.0018745427101178323,
      -0.001921697824489263,
      -0.001968072338604022,
      -0.0020136792453100327,
      -0.0020585312463318748,
      -0.0021026407576970408,
      -0.0021460199773964414,
      -0.002188681105396778,
      -0.0022306360412807148,
      -0.0022718964438490866,
      -0.002312473815105056,
      -0.0023523794563498407,
      -0.002391624506192283,
      -0.002430219926932377,
      -0.00246817646493795,
      -0.002505504591069053,
      -0.002542214821804604,
      -0.002578317454953939,
      -0.0026138224703899588,
      -0.002648739664380591,
      -0.002683078815600217,
      -0.002716849525926317,
      -0.0027500611376079288,
      -0.0027827229161170347,
      -0.0028148440357847,
      -0.002846433386548718,
      -0.0028774998380703826,
      -0.002908052089921912,
      -0.0029380985785556982,
      -0.0029676476887928118,
      -0.0029967076591217797,
      -0.0030252865697593064,
      -0.0030533923489675773,
      -0.003081032791226438,
      -0.0031082156326585637,
      -0.00313494858112985,
      -0.003161238901330397,
      -0.003187094015965364,
      -0.003212521184742689,
      -0.0032375273803631117,
      -0.0032621196658639976
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334495647842475,
      10.092768336524784,
      9.84440339094998,
      9.59226697450597,
      9.33892029686126,
      9.086566869452783,
      8.837038724011325,
      8.591789639204727,
      8.351888668867389,
      8.118041100016491,
      7.890625878708165,
      7.669743343464635,
      7.4552686472727,
      7.246906378755425,
      7.044242733941948,
      6.846792701426197,
      6.654040855749941,
      6.46547532014022,
      6.280614851124111,
      6.0990291390373725,
      5.920349427988768,
      5.744266761340975,
      5.570538391249462,
      5.3990046047871285,
      5.229582519329577,
      5.062253605125006,
      4.89708009837037,
      4.734235924670627,
      4.573991808774594,
      4.416656329019425,
      4.262563819974951,
      4.11208039358728,
      3.9655931318405067,
      3.8234794562635694,
      3.6860931296350823,
      3.5537518234804684,
      3.4267272708910457,
      3.305238767817951,
      3.189448713317023,
      3.079457392968366,
      2.975290558277421,
      2.8769027053381264,
      2.784169436284295,
      2.696880908222728,
      2.6147841743163065,
      2.53762574490806,
      2.46514061002136,
      2.3970624198871042,
      2.3331240842823133,
      2.2730402596009665,
      2.2164699053411483,
      2.1630361249157843,
      2.112401311579227,
      2.0642381940121677,
      2.01824626650745,
      1.9741680644438073,
      1.9317984076958437,
      1.890964023682181,
      1.8515218907017694,
      1.8133547162386656,
      1.7763574453952955,
      1.7404427222634435,
      1.7055405952094527,
      1.6715927298961535,
      1.6385489441496774,
      1.6063651606190155,
      1.575001975538056,
      1.544424090922109,
      1.5146022831989476,
      1.4855130954987876,
      1.4571337266965125,
      1.4294410715457324,
      1.4024118839289923,
      1.3760221143513205,
      1.3502486304949282,
      1.3250697403333231,
      1.3004649937199753,
      1.2764150365730496,
      1.2529015008084976,
      1.2299069180545334,
      1.2074146490493711,
      1.1854088238862142,
      1.1638742910298159,
      1.1427970543310482,
      1.122165018424263,
      1.1019666206753524,
      1.0821908269482194,
      1.0628266321724655,
      1.0438630307763475,
      1.025289172935746,
      1.0070944573319829,
      0.9892685834107856,
      0.9718015784942323,
      0.9546838075205236,
      0.9379059733007139,
      0.9214591113860846,
      0.905334581123555,
      0.8895240540466013,
      0.8740195017976282,
      0.8588131836265985,
      0.8438976343090354,
      0.8292656515334781,
      0.8149102842892558,
      0.8008248212810248,
      0.7870027803976546,
      0.7734378984973752,
      0.7601241215524239,
      0.7470555952650269,
      0.7342266564094735,
      0.7216318240580312,
      0.709265792484219,
      0.6971234230066277,
      0.6851997366581251,
      0.6734899079826281,
      0.6619892582249318,
      0.650693249630749,
      0.6395974794954365,
      0.6286976743997084,
      0.6179896854475758,
      0.6074694768025575,
      0.5971330733493929,
      0.5869766009897346,
      0.5769963198447549,
      0.5671886099259172,
      0.5575499603661209,
      0.5480769619425171,
      0.5387663147615652,
      0.5296155196331218,
      0.5206224570928116,
      0.5117846733521143,
      0.5030995330275504,
      0.49456431252423017,
      0.486176258308015,
      0.4779326228517288,
      0.4698306866929328,
      0.4618677714335071,
      0.45404124741365337,
      0.44634853768588184,
      0.4387871202344808,
      0.43135452829112886,
      0.4240483498618214,
      0.4168663910054467,
      0.4098067262906348,
      0.40286736652734706,
      0.3960462603619124,
      0.38934133465106985,
      0.3827505192498619,
      0.37627176262386414,
      0.3699030409724153,
      0.36364236360614055,
      0.3574877760332006,
      0.3514374408138138,
      0.34548965883943145,
      0.33964271360660225,
      0.3338948729739921,
      0.3282444081333182,
      0.32268960566282096,
      0.3172287743547606,
      0.3118602494722246,
      0.306582410506044,
      0.3013936928435022,
      0.2962925504883026,
      0.2912774551380575,
      0.28634690051134065,
      0.2814994047273655,
      0.27673351207562674,
      0.27204779302912346,
      0.2674408447588943,
      0.26291129095996796,
      0.2584576303744236,
      0.2540782777121269,
      0.24977176685399072,
      0.24553672652043335,
      0.2413718545634606,
      0.23727590081130953,
      0.23324765614133758,
      0.22928594514794992,
      0.22538968815870689,
      0.22155817764507868,
      0.217790732011275,
      0.21408652271703302,
      0.21044463477379088,
      0.2068641047460836,
      0.20334394492960886,
      0.19988315902792902,
      0.19648075169096488,
      0.1931356543789296,
      0.18984676894730404,
      0.18661305867440747,
      0.1834335325297437,
      0.18030723483919844,
      0.1772332381106383,
      0.1742106386258087,
      0.17123855351650605,
      0.168316118641328,
      0.16544248714194404,
      0.1626168284639057,
      0.15983832754734695,
      0.15710618446534447,
      0.1544196135739248,
      0.15177784334915503,
      0.14918011599468714,
      0.14662568722645153,
      0.14411382589776703,
      0.14164381357811368,
      0.13921494442858237,
      0.13682652491595607,
      0.13447787375311138,
      0.13216832157635874,
      0.12989721046065136,
      0.12766389389519286,
      0.12546773657033952,
      0.12330811422434548,
      0.12118441343451894,
      0.11909603134064238,
      0.11704237535650899,
      0.11502286329551668,
      0.11303692275927064,
      0.11108399127658139,
      0.10916351590795881,
      0.10727495329475897,
      0.10541776941477357,
      0.10359143927964641,
      0.10179544692938305,
      0.10002928522129444,
      0.09829245556577743,
      0.09658446789448197,
      0.09490484042175315,
      0.09325309961239267,
      0.09162877992303799,
      0.09003142367292427,
      0.08846058097334786,
      0.08691580966832056,
      0.0853966750477293,
      0.08390274963716263,
      0.08243361330275795,
      0.08098885291085155,
      0.07956806232131268,
      0.07817084224951495,
      0.07679680010499068,
      0.07544555003211546,
      0.0741167125933631,
      0.07280991475855778,
      0.07152478985368378,
      0.07026097714138808,
      0.06901812213245076,
      0.06779587621356489,
      0.06659389664983449,
      0.06541184640811283,
      0.06424939404284499,
      0.06310621382176407,
      0.06198198547172257,
      0.06087639408155189,
      0.05978912992311572,
      0.05871988848534976,
      0.05766837030499403,
      0.05663428109612158,
      0.05561733133901835,
      0.054617236338837895,
      0.05363371619664467,
      0.052666495748262404,
      0.05171530427241134,
      0.050779875689369175,
      0.04985994835751941,
      0.04895526502004833,
      0.048065572593092326,
      0.04719062232636516,
      0.04633016963607855,
      0.04548397399540462,
      0.044651798760539506,
      0.04383341132993845,
      0.04302858296858287,
      0.042237088796694564,
      0.04145870758018549,
      0.04069322187172851,
      0.039940417854940416,
      0.039200085129199286,
      0.038472016946475146,
      0.03775600987981011,
      0.03705186390571224,
      0.036359382324433455,
      0.03567837182002973,
      0.0350086421522123,
      0.03435000633668174,
      0.033702280501081955,
      0.03306528372751753,
      0.03243883810965294,
      0.031822768790085554,
      0.03121690387549961,
      0.030621074153547975,
      0.030035113309977594,
      0.029458857654027833,
      0.028892146522420857,
      0.028334821702361967,
      0.027786727595665254,
      0.02724771115746726,
      0.026717622004111076,
      0.026196312308635013,
      0.0256836365725906,
      0.025179451731070474,
      0.024683617051343795,
      0.024195994084675158,
      0.02371644682435693,
      0.023244841542462466,
      0.022781046648225625,
      0.022324932726384746,
      0.021876372671519016,
      0.021435241247629806,
      0.021001415257852173,
      0.020574773707679,
      0.02015519761752829,
      0.0197425699126205,
      0.019336775524692845,
      0.01893770126546335,
      0.018545235809422696,
      0.018159269645818994,
      0.017779695196652835,
      0.0174064065731053,
      0.01703929965693524,
      0.016678272035982992,
      0.016323222984426698,
      0.015974053462332233,
      0.015630666109213157,
      0.015292965199590511,
      0.014960856560186442,
      0.01463424758900332,
      0.014313047184758506,
      0.013997165739480235,
      0.01368651519446958,
      0.013381008911218453,
      0.013080561605184823,
      0.012785089501209868,
      0.012494510329339854,
      0.012208742906778649,
      0.01192770760845306,
      0.011651326105365751,
      0.011379521229263013,
      0.011112217134231958,
      0.010849339412828975,
      0.010590814759462868,
      0.010336571058265846,
      0.010086537341896988,
      0.00984064396483729,
      0.009598822317353381,
      0.009361004944356637,
      0.0091271256688777,
      0.008897119275073747,
      0.008670921494120885,
      0.008448469273642538,
      0.008229700644868027,
      0.008014554587599986,
      0.007802971102412626,
      0.007594891312332928,
      0.007390257123777427,
      0.007189011437493138,
      0.006991098077097616,
      0.0067964619375205934,
      0.0066050488070985265,
      0.006416805237376375,
      0.006231678625870828,
      0.006049617512448755,
      0.00587057118634589,
      0.00569448960832029,
      0.005521323716986754,
      0.005351025184060205,
      0.005183546524522981,
      0.005018841145539884,
      0.0048568630681447315,
      0.004697567115852248,
      0.004540908934514435,
      0.004386844824338842,
      0.004235331778678413,
      0.004086327505717429,
      0.003939790523465155,
      0.0037956800540638047,
      0.0036539558447434457,
      0.003514578448770351,
      0.003377508917759402,
      0.003242709145161333,
      0.0031101415065454296,
      0.002979769049339189,
      0.0028515553984148137,
      0.0027254647977842895,
      0.0026014621739529056,
      0.00247951283272446,
      0.002359582736582823,
      0.00224163838371781,
      0.002125647007277339,
      0.002011576287661726,
      0.0018993944675736074,
      0.0017890701953237232,
      0.0016805728026678167,
      0.0015738719235434786,
      0.0014689378519916105,
      0.0013657412664047554,
      0.0012642534899029415,
      0.0011644461611814746,
      0.0010662915433534183,
      0.0009697623002299864,
      0.0008748313765103814,
      0.0007814723813816109,
      0.0006896593639647221,
      0.0005993665524136121,
      0.000510568857144338,
      0.0004232415749069055,
      0.00033736031111370943,
      0.00025290114486410236,
      0.0001698404522162526,
      8.815506171003092e-05,
      7.82227120268743e-06,
      -7.118032369532131e-05,
      -0.0001488746630947569,
      -0.0002252823408026227,
      -0.00030042483548277556,
      -0.0003743230733124157,
      -0.0004469976755690158,
      -0.00051846891236897,
      -0.0005887567122527071,
      -0.0006578806321406311,
      -0.0007258599598920316,
      -0.0007927136307257051,
      -0.0008584602952022334,
      -0.0009231183035224088,
      -0.0009867056566579449,
      -0.0010492401278664075,
      -0.0011107391352239947,
      -0.0011712198229573544,
      -0.0012306990521499612,
      -0.0012891934672448094,
      -0.0013467193066307502,
      -0.0014032926000510908,
      -0.0014589291362781533,
      -0.0015136443914204342,
      -0.0015674536531805076,
      -0.001620371864849413,
      -0.0016724138554958714,
      -0.001723594150148738,
      -0.0017739268742119304,
      -0.0018234261652092338,
      -0.001872105929058881,
      -0.0019199796405285135,
      -0.001967060612264883,
      -0.0020133619452956135,
      -0.0020588964913454176,
      -0.002103677094223812,
      -0.0021477162394649306,
      -0.002191026154216505,
      -0.002233618868031957,
      -0.00227550629182522,
      -0.002316700067432349,
      -0.002357211683411915,
      -0.0023970523927245883,
      -0.0024362334924895573,
      -0.0024747658402342713,
      -0.002512660138221562,
      -0.0025499270137684985,
      -0.002586576774653777,
      -0.0026226195957405286,
      -0.0026580656546077042,
      -0.0026929247196514766,
      -0.0027272065765523074,
      -0.002760920831422102,
      -0.002794076795715392,
      -0.0028266837008967716,
      -0.0028587507156807948,
      -0.0028902867146874465,
      -0.0029213005298664193,
      -0.0029518008322215986,
      -0.0029817961215528096,
      -0.0030112947913909973,
      -0.0030403050603845603,
      -0.00306883491539037,
      -0.0030968923273411134,
      -0.003124485206241797,
      -0.0031516212095598728,
      -0.003178307880397466,
      -0.0032045525880242507,
      -0.003230362684066809,
      -0.0032557454805408194,
      -0.0032807079286354024,
      -0.003305257015016929
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334491411827164,
      10.092754829042672,
      9.844375302043709,
      9.592219326742203,
      9.33884957262714,
      9.086470674563884,
      8.836915676826845,
      8.591639072210224,
      8.351710368986062,
      8.11783515035986,
      7.89039253085236,
      7.669482924462093,
      7.454981495632878,
      7.246592811128391,
      7.043903033732165,
      6.846427132383988,
      6.653649685790736,
      6.465058836794231,
      6.280173402522709,
      6.098563240026401,
      5.919859798139273,
      5.7437544180043965,
      5.570004614163073,
      5.398450901194832,
      5.229010542644109,
      5.061665172960614,
      4.896477463006934,
      4.733622230246227,
      4.5733705202600525,
      4.416030934600913,
      4.261937821905666,
      4.111457429288022,
      3.9649767848950224,
      3.8228731089578423,
      3.6854999016823697,
      3.553174530713373,
      3.4261683823793345,
      3.304700373896149,
      3.188932552557423,
      3.078964734027003,
      2.974822073097661,
      2.876458471561132,
      2.783748866821637,
      2.696482816760413,
      2.6144071694596054,
      2.5372683152561484,
      2.464801032686933,
      2.3967389291039263,
      2.332814925614701,
      2.2727436505120124,
      2.216183513396315,
      2.1627577475102626,
      2.1121288921855723,
      2.0639698094487753,
      2.0179803413805506,
      1.9739034047630315,
      1.9315341284297043,
      1.8906994692587307,
      1.851256596976179,
      1.8130882992172042,
      1.776089551045036,
      1.7401730664057875,
      1.7052689018858216,
      1.6713188259482432,
      1.6382727270362267,
      1.6060865762827896,
      1.5747210034175059,
      1.5441408183776564,
      1.514317052599956,
      1.4852263556541503,
      1.4568457835762394,
      1.4291521371188904,
      1.4021221251050557,
      1.375731679940085,
      1.3499576259037924,
      1.3247782428067605,
      1.300173062180024,
      1.2761227182971129,
      1.252608836265751,
      1.2296139424770753,
      1.2071213940434131,
      1.1851153191330106,
      1.163580591204016,
      1.1425033250727419,
      1.1218714178182299,
      1.1016732625488865,
      1.081897800778405,
      1.0625340015837734,
      1.04357084267462,
      1.0249974637533725,
      1.0068032566981526,
      0.9889779170320906,
      0.9715114692320544,
      0.9543942761422981,
      0.9376170400255988,
      0.9211707955827988,
      0.9050469017544629,
      0.8892370297394688,
      0.8737331508515342,
      0.8585275243590716,
      0.8436126847271554,
      0.8289814294997186,
      0.8146268074698866,
      0.8005421072847754,
      0.7867208466210063,
      0.7731567622877072,
      0.7598438000537275,
      0.7467761054036964,
      0.73394801507177,
      0.7213540480522012,
      0.7089888979573722,
      0.6968474257395154,
      0.6849246523481175,
      0.6732157521859006,
      0.6617160464661025,
      0.6504209968670147,
      0.639326200154848,
      0.6284273827646543,
      0.6177203954695456,
      0.6072012016783345,
      0.5968658257981694,
      0.5867103939278473,
      0.5767311661630535,
      0.5669245219282297,
      0.5572869502417105,
      0.5478150414163826,
      0.5385055385042891,
      0.5293559993725829,
      0.5203642646019537,
      0.5115278552519151,
      0.5028441199426772,
      0.49431032497371047,
      0.4859237103171603,
      0.4776815241369845,
      0.4695810439607954,
      0.4616195895872315,
      0.4537945300097237,
      0.4461032875076118,
      0.43854333942463103,
      0.43111221847697956,
      0.42380751214629836,
      0.4166270499684403,
      0.4095689065912712,
      0.4026310831233514,
      0.3958115217867631,
      0.38910814514469133,
      0.3825188805908415,
      0.3760416748027921,
      0.3696745028555682,
      0.36341537328556806,
      0.3572623310684873,
      0.3512135478434803,
      0.3452673245469339,
      0.3394219403038326,
      0.3336756603082589,
      0.3280267540942089,
      0.32247350700729693,
      0.3170142270891578,
      0.31164724885710143,
      0.3063709533076178,
      0.30118377565653065,
      0.2960841688457832,
      0.29107060392402634,
      0.2861415740760831,
      0.2812955971514618,
      0.2765312169979273,
      0.2718470040687161,
      0.2672415554390663,
      0.26271349461718896,
      0.25826132376612904,
      0.2538834577533093,
      0.24957842896929566,
      0.245344865328969,
      0.24118146392278877,
      0.23708697414974056,
      0.23306018651963853,
      0.22909992550913033,
      0.22520510708744315,
      0.2213750178638969,
      0.21760897973615762,
      0.21390616625907047,
      0.21026566369590569,
      0.2066865093668825,
      0.20316771618522705,
      0.19970828810601382,
      0.19630722866052186,
      0.19296346584560617,
      0.18967590264351622,
      0.18644350381406094,
      0.1832652792907687,
      0.18014027403994012,
      0.17706756086245803,
      0.1740462361958524,
      0.17107541727933834,
      0.16815424000501003,
      0.1652818576324277,
      0.16245743963105158,
      0.15968017106788038,
      0.15694925186993947,
      0.1542638963808016,
      0.15162333305027587,
      0.14902680408591942,
      0.14647356504667297,
      0.14396288474656993,
      0.14149404471199384,
      0.13906633916472885,
      0.13667907455135214,
      0.13433156954676773,
      0.13202315462897884,
      0.12975317200725017,
      0.12752097519650743,
      0.12532592887438818,
      0.12316740879748472,
      0.1210448015413381,
      0.11895750416630817,
      0.11690492410639805,
      0.11488647923117655,
      0.11290159717720656,
      0.1109497154740009,
      0.10903028116750618,
      0.10714275095783087,
      0.10528659070674287,
      0.10346127554166612,
      0.10166628948141876,
      0.0999011253393651,
      0.09816528451599167,
      0.09645827697322279,
      0.09477962100862869,
      0.0931288430704647,
      0.0915054776645781,
      0.08990906722479236,
      0.08833916191561264,
      0.08679531943296982,
      0.08527710519695633,
      0.08378409176665409,
      0.08231585887815722,
      0.08087199357473647,
      0.07945208967846593,
      0.07805574801165331,
      0.07668257612454724,
      0.07533218810414345,
      0.074004204556166,
      0.07269825242902762,
      0.07141396504189682,
      0.07015098182106588,
      0.06890894825220403,
      0.06768751580736317,
      0.06648634174710401,
      0.06530508909338491,
      0.06414342658858004,
      0.06300102847191297,
      0.06187757446397753,
      0.06077274964050571,
      0.059686244383895914,
      0.05861775420759087,
      0.0575669797173376,
      0.05653362657255057,
      0.0555174053480981,
      0.054518031434315606,
      0.05353522499591547,
      0.05256871087259934,
      0.05161821851298302,
      0.05068348183679194,
      0.04976423920962757,
      0.04886023338613671,
      0.04797121139713199,
      0.047096924525892904,
      0.046237128259008914,
      0.04539158207523871,
      0.04456004947203594,
      0.04374229779431513,
      0.04293809842767418,
      0.04214722651393184,
      0.04136946082730916,
      0.04060458406227224,
      0.03985238238530329,
      0.03911264537218174,
      0.03838516632131463,
      0.03766974196986541,
      0.03696617242753723,
      0.03627426098895661,
      0.035593814270285615,
      0.034924642231320545,
      0.034266557841407565,
      0.0336193773169961,
      0.0329829196906383,
      0.03235700718005225,
      0.031741465022060836,
      0.03113612127364166,
      0.030540806859573125,
      0.029955355554452084,
      0.029379603797779038,
      0.02881339078009029,
      0.028256558418947256,
      0.02770895126271688,
      0.0271704163344803,
      0.026640803189344104,
      0.026119963955788483,
      0.025607753190065138,
      0.02510402798803197,
      0.024608647661350312,
      0.024121473886930672,
      0.023642370725638285,
      0.023171204357244003,
      0.02270784321209557,
      0.022252157971309413,
      0.021804021458178634,
      0.021363308491660817,
      0.02092989619170128,
      0.02050366351825048,
      0.02008449161824306,
      0.01967226344274808,
      0.019266863905584124,
      0.01886817975672079,
      0.018476099717927113,
      0.018090514421597672,
      0.017711316319623766,
      0.017338399484828376,
      0.016971659895457562,
      0.016610995218234156,
      0.01625630477640201,
      0.01590748958769721,
      0.015564452294396774,
      0.015227097220534475,
      0.014895330270690458,
      0.014569058764243187,
      0.014248191695669817,
      0.013932639568544404,
      0.013622314356251617,
      0.013317129436910137,
      0.013016999520603378,
      0.012721840894063613,
      0.012431571282960246,
      0.012146109764648022,
      0.01186537662903188,
      0.011589293485760621,
      0.011317783319270237,
      0.011050770441164114,
      0.010788180358755303,
      0.01052993966720539,
      0.010275976308921516,
      0.010026219538701513,
      0.009780599646177583,
      0.0095390481342779,
      0.009301497545521462,
      0.009067881712819623,
      0.008838135391760277,
      0.008612194443544035,
      0.008389995977634164,
      0.00817147790146262,
      0.007956579230149887,
      0.00774524007640115,
      0.007537401440710485,
      0.0073330053807914965,
      0.007131994828530647,
      0.006934313735210177,
      0.006739906902321481,
      0.006548720165665537,
      0.006360700138322993,
      0.006175794357380074,
      0.005993951230628724,
      0.005815120158643193,
      0.005639251043389119,
      0.005466294906034581,
      0.005296203478163015,
      0.005128929260619033,
      0.004964425718857615,
      0.004802646979125932,
      0.004643547864924992,
      0.0044870839295623795,
      0.004333211447025046,
      0.004181887533015972,
      0.00403307003385724,
      0.0038867174754335905,
      0.0037427890723400335,
      0.003601244529544077,
      0.003462044437627355,
      0.00332514986353771,
      0.003190522713211904,
      0.0030581253910470776,
      0.002927921078623463,
      0.0027998733802357635,
      0.002673946536220601,
      0.002550105473396609,
      0.00242831558470127,
      0.0023085429242271378,
      0.002190754150156276,
      0.002074916349438999,
      0.00196099718836442,
      0.0018489648621782945,
      0.001738788160792969,
      0.001630436301855296,
      0.0015238790708246711,
      0.0014190868103521246,
      0.0013160302785105407,
      0.0012146806357844263,
      0.0011150096814941059,
      0.0010169897306927305,
      0.0009205933270993622,
      0.0008257935425566153,
      0.0007325638013471607,
      0.0006408782974875281,
      0.000550711371653934,
      0.0004620379577077472,
      0.0003748333060199577,
      0.0002890730072553206,
      0.00020473315744089248,
      0.00012179022577585519,
      4.02211658673735e-05,
      -3.999684651674883e-05,
      -0.00011888627385390838,
      -0.00019646905093749002,
      -0.0002727667598267984,
      -0.00034780077189797127,
      -0.0004215919818842443,
      -0.0004941610297480759,
      -0.0005655280955267146,
      -0.0006357131695425462,
      -0.0007047356980902545,
      -0.0007726148826189775,
      -0.000839369735794063,
      -0.0009050188828938502,
      -0.0009695806920457048,
      -0.0010330731489292646,
      -0.0010955139851322202,
      -0.0011569206073279853,
      -0.0012173101659927632,
      -0.0012766996352148138,
      -0.0013351055104873664,
      -0.0013925439370323198,
      -0.0014490309194110141,
      -0.0015045822638371461,
      -0.0015592135444768408,
      -0.0016129399609919434,
      -0.001665776500346638,
      -0.0017177379190484122,
      -0.0017688386611746708,
      -0.0018190929278792988,
      -0.0018685148093763736,
      -0.001917118149426338,
      -0.001964916453530172,
      -0.0020119230753218283,
      -0.0020581510910244365,
      -0.0021036134526077883,
      -0.0021483227777519174,
      -0.0021922915329314987,
      -0.0022355320442826727,
      -0.002278056425030224,
      -0.0023198765277495184,
      -0.0023610038953557045,
      -0.002401450022783269,
      -0.002441226274869608,
      -0.002480343759181566,
      -0.0025188133761174783,
      -0.0025566458107488805,
      -0.0025938515174217663,
      -0.0026304409389766724,
      -0.0026664243696897043,
      -0.0027018117539046077,
      -0.002736612928649078,
      -0.0027708377385732407,
      -0.002804495718421544,
      -0.002837596289422064,
      -0.0028701485545704875,
      -0.002902161709890175,
      -0.002933644736636701,
      -0.002964606303233417,
      -0.0029950549010396696,
      -0.003024999189394405,
      -0.0030544474697435397,
      -0.0030834080109439325,
      -0.003111888897273389,
      -0.003139897977379187,
      -0.003167443124190825,
      -0.003194532138490319,
      -0.003221172436097818,
      -0.0032473714269174426,
      -0.00327313648658033,
      -0.0032984748075830577,
      -0.003323393433686902,
      -0.0033478993065841687
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334487158827322,
      10.092741265769295,
      9.844347100106008,
      9.592171494533446,
      9.33877858099788,
      9.086374121851552,
      8.836792171949181,
      8.591487940071618,
      8.35153139234492,
      8.117628409701794,
      7.890158275585553,
      7.669221478334447,
      7.454693195657917,
      7.246277972357781,
      7.043561942867288,
      6.846060054916867,
      6.653256887642139,
      6.464640608953994,
      6.279730092542492,
      6.098095358728547,
      5.919368063627969,
      5.743239847698162,
      5.569468487165196,
      5.397894726012171,
      5.228435974879381,
      5.061074033874564,
      4.895872009663362,
      4.73300561736692,
      4.572746224843726,
      4.4154024563147445,
      4.26130867481874,
      4.11083126419052,
      3.9643571984979884,
      3.822263496419408,
      3.684903394272333,
      3.5525939551591383,
      3.425606217111768,
      3.3041587185608345,
      3.188413154251273,
      3.078468868637847,
      2.9743504182398475,
      2.876011109103949,
      2.7833252134304884,
      2.6960816889157386,
      2.6140271768397514,
      2.536907948272798,
      2.4644585698171144,
      2.396412604451453,
      2.3325029851627272,
      2.2724443116380626,
      2.2158944451107643,
      2.16247674928731,
      2.1118539084565806,
      2.0636989183556644,
      2.0177119672576125,
      1.9736363534050696,
      1.931267514240859,
      1.8904326350160305,
      1.850989077628273,
      1.812819708522521,
      1.7758195324739274,
      1.7399013340493164,
      1.7049951784866397,
      1.6710429372973539,
      1.6379945697070757,
      1.605806095465733,
      1.5744381769318112,
      1.543855732386275,
      1.5140301369121334,
      1.4849380262396614,
      1.4565563252560452,
      1.4288617475870131,
      1.4018309615949147,
      1.375439884364964,
      1.3496652985973685,
      1.3244854573136475,
      1.2998798744939615,
      1.2758291738004381,
      1.2523149731488183,
      1.2293197951980228,
      1.2068269936740836,
      1.1848206951185545,
      1.1632858325181652,
      1.1422086112205436,
      1.1215768876254764,
      1.10137901691608,
      1.081603920439109,
      1.0622405445766008,
      1.0432778522012462,
      1.0247049738122147,
      1.006511295398066,
      0.9886865086598084,
      0.9712206358903352,
      0.9541040384012257,
      0.9373274171485197,
      0.9208818065477529,
      0.904758565038643,
      0.8889493635457192,
      0.8734461734210119,
      0.8582412536079583,
      0.8433271385809115,
      0.8286966257048143,
      0.8143427634932524,
      0.8002588406567038,
      0.7864383749098772,
      0.772875102858504,
      0.759562969940941,
      0.7464961215784911,
      0.7336688938826782,
      0.7210758057729646,
      0.708711550941235,
      0.6965709898253873,
      0.6846491432218025,
      0.67294118481414,
      0.6614424357147932,
      0.6501483573967419,
      0.639054546510278,
      0.6281567291485199,
      0.6174507557363217,
      0.6069325891140988,
      0.5965982530429711,
      0.5864438732187339,
      0.5764657095166884,
      0.5666601413915306,
      0.5570236576259261,
      0.5475528483794357,
      0.5382444997060635,
      0.5290962268167808,
      0.52010582993814,
      0.5112708050620002,
      0.5025884850750818,
      0.4940561256717476,
      0.4856709601868133,
      0.4774302325594824,
      0.4693312175688735,
      0.4613712332936644,
      0.45354764746416315,
      0.44585788141630417,
      0.43829941183602295,
      0.4308697707537985,
      0.4235665456428534,
      0.41638758888798694,
      0.409330975529158,
      0.4023946967258269,
      0.39557668843469385,
      0.3888748692113078,
      0.3822871637905027,
      0.37581151701732846,
      0.369445902899293,
      0.3631883291788389,
      0.3570368400631897,
      0.3509896166698791,
      0.3450449596923923,
      0.33920114401616325,
      0.3334564320476628,
      0.3278090916669323,
      0.322257406926625,
      0.3167996851453073,
      0.3114342604395231,
      0.3061595152623845,
      0.30097388450850426,
      0.29587582005990604,
      0.2908637922671044,
      0.28593629382097907,
      0.2810918421116482,
      0.2763289807994783,
      0.2716462800894468,
      0.2670423368458208,
      0.26251577447677626,
      0.2580650988176657,
      0.2536887250049154,
      0.24938518377075297,
      0.2451531021451625,
      0.2409911766568694,
      0.23689815619571175,
      0.23287283097671466,
      0.2289140252408275,
      0.2250206505951141,
      0.22119198774460105,
      0.2174273620884561,
      0.213725949322371,
      0.21008683703241215,
      0.20650906345453907,
      0.20299164188566765,
      0.1995335765529111,
      0.1961338689352417,
      0.19279144398950762,
      0.18950520695797957,
      0.18627412388185355,
      0.18309720548571065,
      0.17997349710211735,
      0.17690207181765052,
      0.17388202636432873,
      0.1709124781005547,
      0.16799256300841342,
      0.16512143424213285,
      0.16229826129445518,
      0.15952222912873787,
      0.15679253758094686,
      0.15410840105474058,
      0.15146904798820968,
      0.14887372070231206,
      0.14632167471430613,
      0.14381217869176893,
      0.14134451423953184,
      0.13891797559629157,
      0.13653186915745139,
      0.13418551354148184,
      0.13187823926605027,
      0.12960938847833925,
      0.12737831466922594,
      0.1251843825742379,
      0.1230269679368113,
      0.12090545721649694,
      0.11881924758449963,
      0.1167677465202594,
      0.11475037172674238,
      0.11276655089358821,
      0.11081572158770421,
      0.10889733098468325,
      0.10701083565697932,
      0.10515570157688839,
      0.10333140376254835,
      0.10153742637398505,
      0.09977326213301749,
      0.09803841256061492,
      0.09633238760160212,
      0.09465470551950125,
      0.09300489285761436,
      0.09138248418054778,
      0.08978702182409375,
      0.08821805595158655,
      0.08667514446285915,
      0.08515785276111326,
      0.08366575342222063,
      0.0821984263028063,
      0.08075545836171526,
      0.07933644350711623,
      0.07794098255686278,
      0.07656868308082874,
      0.0752191591842033,
      0.07389203154652645,
      0.07258692717298545,
      0.07130347937138856,
      0.07004132762856699,
      0.06880011744512149,
      0.06757950030033487,
      0.06637913361665997,
      0.06519868046597249,
      0.06403780951587479,
      0.06289619514625085,
      0.0617735170587347,
      0.06066946035425963,
      0.05958371546195175,
      0.05851597804035168,
      0.05746594873532281,
      0.056433333182751184,
      0.05541784202023435,
      0.054419190662722355,
      0.05343709937307706,
      0.05247129306735808,
      0.05152150116974562,
      0.050587457630265495,
      0.04966890092518199,
      0.04876557388929134,
      0.047877223615947116,
      0.047003601341238585,
      0.04614446260152096,
      0.04529956690453112,
      0.04446867791865267,
      0.04365156307602127,
      0.04284799369637071,
      0.042057744959777786,
      0.04128059573534078,
      0.04051632870697015,
      0.03976473013522097,
      0.03902558982046694,
      0.03829870095866759,
      0.03758386023292872,
      0.03688086786428701,
      0.03618952731651027,
      0.035509645369761374,
      0.03484103180614301,
      0.03418349978763244,
      0.033536865425845365,
      0.03290094803826394,
      0.0322755697163554,
      0.03166055576372037,
      0.03105573431275964,
      0.030460936308889325,
      0.02987599550544815,
      0.029300748482276474,
      0.02873503456064675,
      0.028178695563380374,
      0.02763157602999727,
      0.027093523092432913,
      0.026564386519876217,
      0.026044018411323703,
      0.025532273342347984,
      0.02502900839414585,
      0.024534083046212084,
      0.024047358995531152,
      0.023568700334299482,
      0.02309797326616167,
      0.022635046371270506,
      0.022179790422853257,
      0.021732078221415256,
      0.02129178462656915,
      0.020858786671271435,
      0.02043296357812217,
      0.020014196362694258,
      0.01960236797826418,
      0.01919736351260664,
      0.018799069864864668,
      0.01840737571619876,
      0.018022171697996543,
      0.017643350236629066,
      0.017270805583827556,
      0.016904433733063016,
      0.016544132342559296,
      0.016189800932437902,
      0.015841340471547265,
      0.015498653650894919,
      0.0151616447696374,
      0.014830219760416331,
      0.014504286100493941,
      0.01418375280540649,
      0.013868530409129035,
      0.01355853089344543,
      0.01325366769253049,
      0.01295385567167279,
      0.012659011194026511,
      0.01236905193261161,
      0.01208389688454735,
      0.011803466358837889,
      0.011527682090078026,
      0.011256467185702225,
      0.010989745913415564,
      0.010727443754101323,
      0.010469487484774392,
      0.010215805158609075,
      0.00996632600083738,
      0.009720980283536242,
      0.009479699459403797,
      0.009242416261724966,
      0.009009064421268045,
      0.008779578800778507,
      0.008553895342938881,
      0.008331951098975677,
      0.008113684064389873,
      0.007899033310731756,
      0.0076879388994008716,
      0.007480341919967268,
      0.007276184443349934,
      0.007075409440835561,
      0.00687796086577094,
      0.006683783567010466,
      0.0064928234352669475,
      0.006305027152408833,
      0.006120342236690757,
      0.005938717135781803,
      0.00576010125959931,
      0.005584444724137093,
      0.005411698468855491,
      0.005241814215858471,
      0.005074744598583605,
      0.004910442950381314,
      0.004748863445785283,
      0.004589961035046714,
      0.004433691331120646,
      0.004280010696075346,
      0.004128876209880168,
      0.003980245622829537,
      0.003834077520187926,
      0.003690331153586362,
      0.003548966306316395,
      0.0034099436446612384,
      0.0032732242768330594,
      0.0031387700332470648,
      0.0030065433482847144,
      0.002876507341764511,
      0.0027486258206289556,
      0.0026228630351120942,
      0.0024991838437070824,
      0.0023775537723018476,
      0.0022579388852817677,
      0.0021403057731028095,
      0.0020246215612310034,
      0.0019108540610448994,
      0.0017989714269801658,
      0.0016889423750582183,
      0.0015807362191559752,
      0.0014743228269345947,
      0.0013696724696044865,
      0.0012667559342983666,
      0.0011655445494195772,
      0.0010660100591668533,
      0.000968124589045626,
      0.00087186081646534,
      0.000777191895004441,
      0.00068409142551291,
      0.0005925334097425739,
      0.0005024923392021566,
      0.00041394303746757,
      0.0003268608796041112,
      0.0002412215300275948,
      0.0001570010761274078,
      7.417599154693851e-05,
      -7.276911750185702e-06,
      -8.738037093030698e-05,
      -0.00016615666591832484,
      -0.0002436278471888737,
      -0.0003198155357256951,
      -0.00039474100806962537,
      -0.0004684251335307454,
      -0.000540888411558656,
      -0.0006121510777490537,
      -0.0006822331195243242,
      -0.000751154163960222,
      -0.0008189332938357522,
      -0.0008855895108271237,
      -0.0009511414091078118,
      -0.0010156072803410945,
      -0.0010790050199244187,
      -0.0011413523881972896,
      -0.0012026667111289043,
      -0.0012629652220717495,
      -0.001322264715734407,
      -0.0013805817286880065,
      -0.001437932578978743,
      -0.0014943332327054715,
      -0.0015497994560732344,
      -0.0016043466798879931,
      -0.0016579902191601974,
      -0.0017107450534180613,
      -0.0017626258091982,
      -0.0018136469637495618,
      -0.0018638228382785308,
      -0.0019131673869834177,
      -0.0019616944744819433,
      -0.002009417561228399,
      -0.0020563499791466117,
      -0.002102504805813607,
      -0.00214789496022733,
      -0.002192533043647018,
      -0.002236431452791421,
      -0.0022796025938635503,
      -0.002322058517557468,
      -0.0023638110239560975,
      -0.002404871804036601,
      -0.0024452523712491727,
      -0.002484963915579016,
      -0.002524017564260692,
      -0.0025624240750952653,
      -0.002600194324346013,
      -0.002637338878423519,
      -0.002673868060960042,
      -0.0027097919296049555,
      -0.002745120633801267,
      -0.0027798640346903985,
      -0.0028140318136380318,
      -0.0028476335105401393,
      -0.002880678497342421,
      -0.0029131760723564806,
      -0.002945135146747405,
      -0.0029765647185338116,
      -0.0030074736279137723,
      -0.0030378705157776214,
      -0.0030677637683295643,
      -0.0030971617539164143,
      -0.003126072652105084,
      -0.003154504485812884,
      -0.0031824653182096893,
      -0.003209962902696875,
      -0.003237004904239058,
      -0.00326359885302229,
      -0.0032897522378215307,
      -0.0033154722806506853,
      -0.0033407661816643596,
      -0.0033656410201143034,
      -0.0033901037120977165
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334482892402526,
      10.092727656458319,
      9.844318802170896,
      9.592123498448846,
      9.338707343358369,
      9.086277228406336,
      8.836668222083768,
      8.591336252134994,
      8.351351746305602,
      8.117420883784808,
      7.889923119159337,
      7.668959015298072,
      7.454403763008702,
      7.245961886902539,
      7.043219489134119,
      6.845691496477278,
      6.6528624921992465,
      6.4642206693345905,
      6.279284958335096,
      6.097625538760487,
      5.918874291946451,
      5.742723157547876,
      5.568930155193695,
      5.397336258661118,
      5.227859027037751,
      5.060480428326825,
      4.895264008084896,
      4.732386379574931,
      4.572119234108607,
      4.4147712192603334,
      4.260676712501988,
      4.110202235643183,
      3.9637347101844593,
      3.821650953147933,
      3.6843039379662463,
      3.552010422038449,
      3.4250410944191794,
      3.3036141139554944,
      3.1878908228624603,
      3.0779700928018983,
      2.9738758801841865,
      2.8755608950373275,
      2.7828987431257977,
      2.6956777817300868,
      2.6136444458103227,
      2.5365448860925817,
      2.464113456529959,
      2.3960836756441037,
      2.3321884880676373,
      2.272142464722375,
      2.215602919335264,
      2.1621933454913984,
      2.1115765714504278,
      2.063425725023168,
      2.0174413412237544,
      1.973367099374661,
      1.9309987460103635,
      1.890163695030889,
      1.8507194993282532,
      1.8125491041968218,
      1.7755475437529793,
      1.739627673621793,
      1.7047195679969906,
      1.6707652021163746,
      1.6377146054623162,
      1.6055238460450882,
      1.5741536199356803,
      1.5435689526196452,
      1.5137415764528448,
      1.484648095129093,
      1.4562653043479024,
      1.4285698317179498,
      1.4015383060090385,
      1.375146629407817,
      1.3493715434166056,
      1.3241912741512196,
      1.2995853190018398,
      1.27553429071767,
      1.2520198000352492,
      1.22902436478278,
      1.206531336853602,
      1.1845248408408753,
      1.1629899064454883,
      1.141912777548205,
      1.1212812744453386,
      1.1010837186008264,
      1.0813090141255504,
      1.0619460858570264,
      1.0429838828815108,
      1.0244115267843517,
      1.0062183978552255,
      0.9883941838614522,
      0.9709289047002034,
      0.9538129208561569,
      0.9370369323303247,
      0.9205919728448858,
      0.9044694004921869,
      0.8886608863833235,
      0.8731584013547895,
      0.8579542041345055,
      0.8430408290627059,
      0.8284110736407022,
      0.8140579862666844,
      0.7999748554237003,
      0.7861551987523321,
      0.7725927526196487,
      0.7592814625314243,
      0.7462154734304741,
      0.7333891213330194,
      0.7207969247720402,
      0.7084335770302604,
      0.696293938813669,
      0.6843730305566268,
      0.6726660258299619,
      0.6611682452357696,
      0.6498751501678435,
      0.6387823368296556,
      0.6278855309224133,
      0.617180582573762,
      0.6066634540056048,
      0.5963301684864383,
      0.5861768518699175,
      0.576199763687053,
      0.5663952831731449,
      0.5567598988048511,
      0.5472902003407518,
      0.5379830167925443,
      0.5288360205428678,
      0.5198469716979938,
      0.511013341085706,
      0.5023324455067578,
      0.4938015308669401,
      0.4854178237906195,
      0.47717856389422747,
      0.46908102326340856,
      0.46112251795581255,
      0.45330041444225067,
      0.44561213334707545,
      0.43805515062472017,
      0.43062699792834375,
      0.423325262064709,
      0.4161478187024607,
      0.40909274312281807,
      0.4021580167160989,
      0.3953415691497617,
      0.3886413148973141,
      0.3820551759852473,
      0.3755810957327434,
      0.36921704664896343,
      0.36296103578502903,
      0.3568111067961732,
      0.35076544990973896,
      0.3448223658301366,
      0.3389801253801739,
      0.33323698812733865,
      0.32759122005562735,
      0.32204110417820697,
      0.3165849468986358,
      0.31122108179149377,
      0.30594789290436364,
      0.3007638148454616,
      0.2956672985612281,
      0.2906568135355606,
      0.285730851961936,
      0.2808879311609569,
      0.2761265943861907,
      0.27144541161632446,
      0.266842979488688,
      0.2623179212955901,
      0.2578687463257006,
      0.2534938699040075,
      0.2491918214297475,
      0.24496122681417526,
      0.24080078201875996,
      0.23670923554453166,
      0.23268537722854676,
      0.22872803108128342,
      0.224836104402927,
      0.22100887217600962,
      0.21724566329283823,
      0.2135456556199086,
      0.20990793798174553,
      0.20633154935674336,
      0.2028155035441234,
      0.19935880514854293,
      0.19596045346077745,
      0.19261937040121796,
      0.18933446338659446,
      0.1861046997421621,
      0.18292909103640445,
      0.1798066830206769,
      0.17673654917055623,
      0.17371778636135965,
      0.170749512154347,
      0.16783086255861307,
      0.16496099077032167,
      0.16213906620444393,
      0.1593642737151766,
      0.15663581320671635,
      0.15395289910555088,
      0.1513147597821576,
      0.14872063755766962,
      0.14616978789573398,
      0.143661479489598,
      0.14119499391512788,
      0.1387696253014236,
      0.13638468013883806,
      0.1340394770144995,
      0.1317333464281127,
      0.1294656304390728,
      0.12723568252604076,
      0.12504286757031463,
      0.1228865611868165,
      0.12076614985750875,
      0.11868103078688566,
      0.11663061137748264,
      0.11461430932264437,
      0.11263155231858911,
      0.1106817779101187,
      0.10876443332348551,
      0.1068789753181211,
      0.10502486977658981,
      0.10320159173199149,
      0.10140862526620838,
      0.09964546317759834,
      0.09791160699591513,
      0.09620656668934305,
      0.09452986060374528,
      0.09288101535424811,
      0.09125956540740411,
      0.08966505326980515,
      0.08809702903583194,
      0.08655505069381085,
      0.08503868349570778,
      0.08354750006772828,
      0.08208108036852167,
      0.08063901148934279,
      0.0792208872847084,
      0.07782630869233792,
      0.0764548831842065,
      0.07510622499168484,
      0.07377995479196037,
      0.07247569964339078,
      0.07119309296303673,
      0.06993177414218082,
      0.06869138880074048,
      0.06747158842473212,
      0.06627203044858741,
      0.06509237795476697,
      0.06393229991938902,
      0.06279147057895527,
      0.061669569675484356,
      0.06056628239409996,
      0.0594812991428442,
      0.05841431562210637,
      0.057365032605166316,
      0.056333155798169984,
      0.05531839587085069,
      0.054320468292987506,
      0.05333909329044711,
      0.052373995857113324,
      0.051424905492271834,
      0.050491556212592714,
      0.04957368648527485,
      0.048671039216669175,
      0.047783361579303234,
      0.04691040497254154,
      0.046051924808632724,
      0.04520768072103449,
      0.04437743632749197,
      0.043560959195817525,
      0.04275802071996376,
      0.04196839614107423,
      0.041191864372954023,
      0.04042820819801443,
      0.039677213860880675,
      0.038938671199974906,
      0.03821237350367805,
      0.037498117500160875,
      0.03679570341801616,
      0.03610493478641129,
      0.035425618400958474,
      0.03475756419372464,
      0.03410058525532012,
      0.03345449777373748,
      0.03281912111878976,
      0.0321942775440563,
      0.031579792301039133,
      0.03097549359325192,
      0.030381212490362994,
      0.029796782821908112,
      0.029222041157973753,
      0.028656826743098957,
      0.028100981574187195,
      0.027554350291847995,
      0.027016780082041714,
      0.02648812067668321,
      0.02596822424934921,
      0.025456945517881507,
      0.024954141551387785,
      0.024459671802923078,
      0.0239733980810742,
      0.02349518452463266,
      0.02302489748420374,
      0.02256240550186057,
      0.0221075793181665,
      0.021660291843249777,
      0.021220417996420778,
      0.020787834897133813,
      0.020362421689006868,
      0.019944059594665522,
      0.0195326315903357,
      0.01912802274278906,
      0.018730119962575727,
      0.018338812070018525,
      0.017953989722215093,
      0.017575545391502908,
      0.01720337335148892,
      0.01683736972070083,
      0.01647743223359919,
      0.016123460240482248,
      0.015775354898333566,
      0.015433018923152223,
      0.015096356666837158,
      0.01476527417458487,
      0.01443967889933992,
      0.014119479822452763,
      0.013804587478397521,
      0.01349491397939435,
      0.013190372848908437,
      0.012890878981485132,
      0.012596348614165928,
      0.012306699564461003,
      0.012021850888814025,
      0.011741723156708373,
      0.011466238024507884,
      0.011195318463579122,
      0.010928888858747899,
      0.01066687481108831,
      0.010409203089489229,
      0.010155801724841982,
      0.009906600026910479,
      0.009661528319601579,
      0.009420518189384377,
      0.009183502324738373,
      0.00895041447501751,
      0.008721189591065602,
      0.00849576362088526,
      0.008274073640162617,
      0.008056057636994964,
      0.00784165473304452,
      0.007630805103627825,
      0.007423449863783003,
      0.007219531002594509,
      0.007018991670895541,
      0.006821775767302303,
      0.00662782823961261,
      0.006437094970569621,
      0.006249522673729588,
      0.00606505892587358,
      0.005883652183952234,
      0.005705251805626709,
      0.00552980793289487,
      0.005357271570240763,
      0.00518759460853975,
      0.005020729572347927,
      0.004856629961885621,
      0.004695249930501672,
      0.004536544403650939,
      0.004380468997359725,
      0.004226980193872814,
      0.004076035088139052,
      0.003927591563123565,
      0.003781608206924105,
      0.0036380441312776515,
      0.0034968592053085915,
      0.003358014159089108,
      0.0032214701238135017,
      0.0030871889056401087,
      0.0029551330138178366,
      0.002825265551705224,
      0.00269755026904308,
      0.0025719515788323573,
      0.0024484344493686016,
      0.0023269643174619265,
      0.0022075072901796364,
      0.002090029967052204,
      0.0019744994872887348,
      0.0018608835722943873,
      0.0017491505709423371,
      0.0016392691822455041,
      0.00153120886727872,
      0.0014249393283362118,
      0.0013204309370362132,
      0.001217654547991148,
      0.0011165813782345224,
      0.0010171832057364403,
      0.0009194323158926803,
      0.0008233014436368632,
      0.0007287637172293435,
      0.0006357926928342885,
      0.0005443623842287979,
      0.0004544473070464785,
      0.00036602237255037453,
      0.0002790628588178022,
      0.00019354449834020182,
      0.00010944337000379543,
      2.67359578788007e-05,
      -5.460078849477345e-05,
      -0.00013458951271208574,
      -0.00021325264871445003,
      -0.00029061206969301497,
      -0.000366689555893708,
      -0.00044150628200124255,
      -0.000515083135677198,
      -0.000587440627743805,
      -0.0006585989155855527,
      -0.0007285779904338295,
      -0.00079739729121465,
      -0.0008650761438298914,
      -0.0009316334488017608,
      -0.0009970877363555907,
      -0.0010614573029629404,
      -0.0011247601239356168,
      -0.0011870138477125534,
      -0.001248235916188727,
      -0.0013084433340308402,
      -0.0013676529136338739,
      -0.0014258812838731456,
      -0.0014831446054556616,
      -0.0015394589653745076,
      -0.0015948400071109999,
      -0.001649303259653379,
      -0.0017028638991188486,
      -0.001755536986790793,
      -0.0018073371272088537,
      -0.001858278824584617,
      -0.0019083763616388296,
      -0.0019576437158140858,
      -0.002006094601250191,
      -0.0020537424910289986,
      -0.002100600663534134,
      -0.002146682305566427,
      -0.002192000201379329,
      -0.0022365671075638416,
      -0.0022803954467092227,
      -0.002323497407082429,
      -0.0023658849968640275,
      -0.00240757005949083,
      -0.002448564243805438,
      -0.0024888790879930983,
      -0.0025285258103620047,
      -0.0025675155379263587,
      -0.0026058590956371396,
      -0.0026435671569795247,
      -0.002680650381484612,
      -0.0027171190808834176,
      -0.0027529834762990897,
      -0.0027882534963171316,
      -0.0028229389687854235,
      -0.0028570495766877895,
      -0.0028905949470903374,
      -0.002923584338952808,
      -0.0029560270168019023,
      -0.0029879321151738865,
      -0.0030193084773634284,
      -0.003050164842824115,
      -0.003080509849638618,
      -0.003110351979376812,
      -0.0031396995395800644,
      -0.0031685606071970725,
      -0.0031969433275668593,
      -0.003224855710933713,
      -0.0032523055558463993,
      -0.003279300537029891,
      -0.003305848248197614,
      -0.003331955983766577,
      -0.0033576310792048127,
      -0.0033828806472591027,
      -0.0034077117966242656,
      -0.0034321314055213276
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33447861672301,
      10.092714014931746,
      9.844290433348602,
      9.592075378341708,
      9.338635916873859,
      9.086180072277639,
      8.836543927240234,
      8.591184129382805,
      8.351171570345018,
      8.117212729559057,
      7.889687232837084,
      7.668695721057185,
      7.454113398089743,
      7.245644768772306,
      7.042875904745006,
      6.845321711187319,
      6.6524667751126545,
      6.463799314949393,
      6.278838323895856,
      6.097154138466154,
      5.918378869697266,
      5.742204755407047,
      5.568390048320164,
      5.396775953678398,
      5.227280180476787,
      5.0598848676740324,
      4.8946540013402595,
      4.7317650943918075,
      4.571490161004257,
      4.4141378722067195,
      4.26004262105159,
      4.109571067945393,
      3.9631100807614503,
      3.8210362756631233,
      3.6837023609543733,
      3.5514247884414925,
      3.4244738990496777,
      3.303067470993822,
      3.1873664922550695,
      3.077469361202798,
      2.9733994328337126,
      2.8751088204962003,
      2.782470460827458,
      2.6952721102658264,
      2.6132599972178765,
      2.5361801526458683,
      2.463766718006459,
      2.3957531673981287,
      2.331872457413683,
      2.2718391311754496,
      2.215309952655667,
      2.161908544691507,
      2.1112978796343,
      2.0631512183226355,
      2.0171694416414407,
      1.9730966106920906,
      1.9307287806852373,
      1.8898935945085988,
      1.8504487966574508,
      1.8122774106535031,
      1.7752744996263228,
      1.7393530126559729,
      1.7044430180599095,
      1.6704865768747352,
      1.6374337926061275,
      1.6052407841902894,
      1.5738682825137547,
      1.5432814625807167,
      1.5134523603701249,
      1.484357552958301,
      1.455973709744929,
      1.42827737455783,
      1.4012451380553985,
      1.3748528883017987,
      1.3490773260781603,
      1.3238966520428057,
      1.2992903467711276,
      1.2752390122867778,
      1.2517242525931034,
      1.2287285812908146,
      1.2062353470139224,
      1.1842286741888137,
      1.1626937061292242,
      1.141616699235272,
      1.120985442006326,
      1.1007882248617409,
      1.0810139332815996,
      1.0616514711476952,
      1.042689774449139,
      1.024117956444305,
      1.0059253923113796,
      0.988101766523344,
      0.9706370966640367,
      0.9535217416617232,
      0.9367464008008266,
      0.9203021075530992,
      0.904180219599903,
      0.8883724072608089,
      0.8728706419139992,
      0.8576671821635513,
      0.8427545619533805,
      0.82812557871152,
      0.8137732808679726,
      0.7996909565207713,
      0.785872123308927,
      0.7723105175358945,
      0.7590000841110202,
      0.7459349680555383,
      0.7331095052111603,
      0.7205182140280051,
      0.7081557876585964,
      0.6960170862894127,
      0.6840971300956875,
      0.6723910923581708,
      0.6608942934232671,
      0.6496021944022478,
      0.6385103912040735,
      0.6276146093658953,
      0.6169106986671643,
      0.6063946207369861,
      0.5960623980967679,
      0.5859101565034428,
      0.5759341554472766,
      0.5661307740185595,
      0.5564965004619373,
      0.5470279241579341,
      0.5377219167678934,
      0.5285762081739148,
      0.5195885181554967,
      0.5107562927792068,
      0.5020768328590504,
      0.4935473739761447,
      0.4851651361685415,
      0.4769273547522886,
      0.46883129896334225,
      0.46087428293567445,
      0.4530536720029647,
      0.44536688594554424,
      0.4378114000569989,
      0.43038474553025313,
      0.42308450882959087,
      0.4159085886464778,
      0.4088550604457099,
      0.4019218958659907,
      0.39510701835363105,
      0.38840833834200067,
      0.38182377511503296,
      0.375351270176465,
      0.36898879495865655,
      0.36273435560704503,
      0.35658599537867547,
      0.35054191373880866,
      0.3446004111749951,
      0.3387597543719859,
      0.3330182001852167,
      0.3273740126639445,
      0.3218254737300921,
      0.3163708890997507,
      0.3110085917277919,
      0.30573696715276916,
      0.300554449796377,
      0.2954594895396118,
      0.29045055525165914,
      0.2855261385364837,
      0.2806847561974458,
      0.27592495138237016,
      0.2712452939149244,
      0.26664438031481147,
      0.2621208336261326,
      0.2576731667376577,
      0.25329979501773536,
      0.2489992464636152,
      0.24477014611551345,
      0.2406111891959263,
      0.23652112370916456,
      0.23249873925948386,
      0.228542859721054,
      0.2246523880160816,
      0.2208265933082993,
      0.2170648079113718,
      0.21336621181551613,
      0.20972989513764914,
      0.2061548977532407,
      0.202640233965943,
      0.19918490855625093,
      0.19578791874208548,
      0.19244818356071963,
      0.18916461254034114,
      0.18593617430349246,
      0.1827618812630286,
      0.1796407795258219,
      0.1765719429308779,
      0.17355446864272714,
      0.17058747424088502,
      0.1676700956782394,
      0.1648014862163933,
      0.1619808153364365,
      0.15920726788889333,
      0.1564800437611555,
      0.15379835739348421,
      0.15116143707953292,
      0.14856852496569234,
      0.14601887673817845,
      0.1435117608702677,
      0.14104645908898253,
      0.13862226538352426,
      0.1362384862199991,
      0.13389444019346694,
      0.131589457735149,
      0.12932288095633093,
      0.1270940634120544,
      0.12490236987483085,
      0.12274717597638145,
      0.12062786825171225,
      0.11854384379105457,
      0.11649451007704277,
      0.11447928482951335,
      0.11249759577462011,
      0.11054888038874637,
      0.10863258589610408,
      0.10674816894206657,
      0.10489509564059686,
      0.1030728411695367,
      0.10128088946588698,
      0.0995187332996253,
      0.09778587421845929,
      0.09608182238203222,
      0.09440609610734434,
      0.09275822185511474,
      0.09113773416795916,
      0.08954417552146594,
      0.08797709615193657,
      0.0864360539747623,
      0.08492061440844578,
      0.08343035011356995,
      0.08196484109452817,
      0.08052367442280661,
      0.07910644401746125,
      0.07771275072938451,
      0.07634220218979766,
      0.07499441254912614,
      0.07366900256393097,
      0.07236559938262119,
      0.07108383639634624,
      0.06982335314677039,
      0.06858379528849508,
      0.06736481440793865,
      0.0661660678544798,
      0.06498721877372467,
      0.06382793612743924,
      0.06268789425427922,
      0.06156677302292105,
      0.060464257633382125,
      0.0593800385908157,
      0.0583138114667201,
      0.05726527701607812,
      0.05623414113241869,
      0.055220114533065176,
      0.05422291277662284,
      0.05324225625735951,
      0.052277869890490304,
      0.051329483304017806,
      0.050396830424663024,
      0.04947964971954581,
      0.048577684171707186,
      0.047690681091536694,
      0.04681839192222587,
      0.045960572223140136,
      0.04511698162734982,
      0.04428738374144591,
      0.043471546143131014,
      0.042669240336750555,
      0.04188024161880066,
      0.04110432902775039,
      0.04034128528282877,
      0.039590896841793656,
      0.03885295344482377,
      0.03812724845681947,
      0.03741357876546503,
      0.03671174451774401,
      0.03602154928916905,
      0.03534279990948542,
      0.03467530627554512,
      0.03401888173617264,
      0.03337334260544119,
      0.032738508171345986,
      0.032114200715677214,
      0.0315002456153281,
      0.03089647113779965,
      0.030302708362155484,
      0.029718791155181615,
      0.0291445561206598,
      0.028579842590479212,
      0.028024492601156515,
      0.027478350899991795,
      0.0269412647450116,
      0.026413083816838014,
      0.02589366044526846,
      0.02538284927336832,
      0.024880507388566647,
      0.02438649443815672,
      0.023900672238930724,
      0.02342290489175567,
      0.022953058816111174,
      0.022491002672316303,
      0.02203660724205431,
      0.021589745463066242,
      0.021150292338910307,
      0.0207181249838873,
      0.02029312267623655,
      0.019875166493222587,
      0.019464139628180957,
      0.019059927238150427,
      0.01866241626108564,
      0.018271495507562394,
      0.017887055721091248,
      0.01750898937271107,
      0.01713719076135893,
      0.016771556006644036,
      0.016411982870812473,
      0.01605837089251941,
      0.015710621272851968,
      0.015368636818709808,
      0.015032321924669469,
      0.01470158250333802,
      0.014376326138334472,
      0.01405646184887426,
      0.013741900235802105,
      0.013432553398247827,
      0.01312833494500958,
      0.01282915985312749,
      0.012534944433473435,
      0.01224560646679294,
      0.011961065103916584,
      0.01168124080312425,
      0.011406055355261197,
      0.011135431863430302,
      0.010869294682882214,
      0.010607569493403272,
      0.010350183096594811,
      0.010097063408847395,
      0.009848139757431804,
      0.009603342641220067,
      0.00936260373165818,
      0.009125855757513124,
      0.008893032342385823,
      0.008664068571634145,
      0.008438900406479035,
      0.008217464910010028,
      0.007999700242226071,
      0.007785545556773501,
      0.007574941055215302,
      0.007367827822300393,
      0.007164148001830534,
      0.006963844639482326,
      0.006766861803022281,
      0.006573144426301167,
      0.006382638207511686,
      0.006195290019772745,
      0.006011047683381389,
      0.005829859595510903,
      0.00565167516497614,
      0.005476444491198186,
      0.005304118613995471,
      0.005134649391509452,
      0.004967989483141343,
      0.004804092329183454,
      0.004642912044291074,
      0.004484403733599936,
      0.004328523062086979,
      0.004175226468603965,
      0.00402447104565057,
      0.0038762147845688923,
      0.0037304162961212767,
      0.00358703471153556,
      0.0034460299803174,
      0.003307362611010056,
      0.003170993948882621,
      0.0030368858777957103,
      0.002905001033267815,
      0.002775302464983103,
      0.002647753854179564,
      0.002522319593817233,
      0.0023989646742133635,
      0.0022776545712251913,
      0.0021583554030084537,
      0.0020410339117865246,
      0.0019256572886108474,
      0.0018121932991058542,
      0.0017006102204963852,
      0.0015908768189246245,
      0.0014829624240092867,
      0.0013768369164834972,
      0.0012724706036023128,
      0.0011698343825153406,
      0.0010688996134337989,
      0.0009696379877765716,
      0.0008720218945288765,
      0.0007760240317272916,
      0.0006816175091639586,
      0.0005887760545315653,
      0.0004974735923832256,
      0.00040768463144000413,
      0.00031938413904671986,
      0.000232547398414769,
      0.00014715011520108643,
      6.316839837629311e-05,
      -1.9421091833528184e-05,
      -0.00010064145824168962,
      -0.00018051548548100958,
      -0.0002590653670168385,
      -0.000336313053069112,
      -0.0004122802286717177,
      -0.00048698809341766276,
      -0.0005604574638392767,
      -0.000632708963148852,
      -0.0007037627523343583,
      -0.0007736386795151897,
      -0.0008423562303760297,
      -0.0009099347066985878,
      -0.0009763928947590727,
      -0.0010417494127512943,
      -0.0011060225230180225,
      -0.0011692302230212523,
      -0.0012313900931095157,
      -0.0012925195565579256,
      -0.0013526356996546116,
      -0.0014117552817880029,
      -0.0014698948138646456,
      -0.0015270706358099218,
      -0.0015832986627011963,
      -0.0016385944918771817,
      -0.001692973705719989,
      -0.001746451506606842,
      -0.0017990428594938195,
      -0.001850762391504045,
      -0.0019016244748519227,
      -0.0019516434169267094,
      -0.0020008332555016,
      -0.0020492076865717157,
      -0.002096780182067778,
      -0.0021435639724271317,
      -0.002189572225908522,
      -0.002234817737590075,
      -0.002279313297930609,
      -0.0023230713292783783,
      -0.0023661039728609225,
      -0.002408423289149612,
      -0.0024500410634577465,
      -0.0024909689921529354,
      -0.0025312184105050137,
      -0.0025708005662496876,
      -0.0026097265681722325,
      -0.0026480072582701734,
      -0.0026856532921985315,
      -0.0027226752766679385,
      -0.002759083601096339,
      -0.0027948884339088894,
      -0.002830099743470297,
      -0.002864727298881711,
      -0.0028987808547718845,
      -0.0029322699349558366,
      -0.0029652038700019572,
      -0.0029975918275204193,
      -0.0030294428736093986,
      -0.003060765925559736,
      -0.003091569787066195,
      -0.003121862909100721,
      -0.003151653849421622,
      -0.0031809509563288122,
      -0.003209762331262489,
      -0.003238096172555502,
      -0.0032659603176913767,
      -0.0032933625348044375,
      -0.003320310521559717,
      -0.0033468118525380812,
      -0.0033728738690238643,
      -0.0033985038096302307,
      -0.0034237088451622944,
      -0.0034484961512695257,
      -0.0034728725293910415
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334474328431892,
      10.09270032970502,
      9.84426197548347,
      9.592027111549276,
      9.338564275947924,
      9.086082626948803,
      8.836419262645093,
      8.591031551918839,
      8.350990850335762,
      8.11700393968436,
      7.889450620548408,
      7.668431611573575,
      7.453822129083723,
      7.245326657190562,
      7.042531238422858,
      6.844950756999264,
      6.6520698024793905,
      6.463376626025662,
      6.27839028068089,
      6.096681253364782,
      5.917881887118079,
      5.741684717652415,
      5.5678482302891235,
      5.3962138621174605,
      5.226699473442438,
      5.059287374592521,
      4.8940419922062475,
      4.731141743390484,
      4.570858967034429,
      4.4135023569321525,
      4.259406321281415,
      4.108937659877711,
      3.9624831898602086,
      3.8204193249828684,
      3.683098509531761,
      3.5508368895157685,
      3.4239044550934836,
      3.302518603068198,
      3.186839965745154,
      3.0769664664269185,
      2.972920857940642,
      2.8746546560708452,
      2.7820401286070715,
      2.6948644306729594,
      2.612873584183305,
      2.5358134999743536,
      2.463418106333962,
      2.3954208332349016,
      2.3315546489639525,
      2.2715340683363148,
      2.215015303369632,
      2.1616221062840175,
      2.1110175949909893,
      2.0628751619277232,
      2.0168960346784353,
      1.972824655979248,
      1.9304573896167843,
      1.8896221073589443,
      1.850176745062226,
      1.8120044049116584,
      1.7750001778746887,
      1.7390771384636163,
      1.7041653377010362,
      1.6702068861023371,
      1.637151966762656,
      1.6049567532521591,
      1.5735820134731608,
      1.542993112361349,
      1.513162338953773,
      1.4840662493651866,
      1.4556813902781665,
      1.4279842241625262,
      1.400951304826347,
      1.3745585077844988,
      1.348782493913907,
      1.3236014379672492,
      1.2989948037706724,
      1.2749431830485332,
      1.251428173094331,
      1.2284322839191697,
      1.2059388618450242,
      1.183932088591631,
      1.1623971878009371,
      1.1413203722573162,
      1.1206894090304582,
      1.1004925691106295,
      1.0807187185385576,
      1.0613567444062053,
      1.0423955717787174,
      1.0238243068407307,
      1.0056323204511535,
      0.987809294578347,
      0.9703452450780504,
      0.9532305295007627,
      0.9364558464912125,
      0.9200122290424055,
      0.9038910348069908,
      0.8880839340011979,
      0.8725828974535027,
      0.8573801839775409,
      0.842468327504833,
      0.8278401250114396,
      0.8134886249879971,
      0.7994071158376689,
      0.7855891147188966,
      0.7720283577748407,
      0.7587187899342515,
      0.7456545559984249,
      0.7328299915918426,
      0.7202396147851257,
      0.7078781184058331,
      0.6957403625363268,
      0.6838213670752128,
      0.6721163051235808,
      0.6606204966800172,
      0.649329402532258,
      0.6382386184577232,
      0.6273438697134073,
      0.6166410055384822,
      0.6061259870567296,
      0.5957948358759273,
      0.5856436777684358,
      0.575668772194408,
      0.5658664980330348,
      0.556233343357562,
      0.5467658974092838,
      0.5374610743825473,
      0.5283166611854184,
      0.519330337712067,
      0.5104995250480208,
      0.5018215080540878,
      0.4932935118921752,
      0.48491275019904984,
      0.4766764540219734,
      0.4685818898035894,
      0.4606263700144777,
      0.45280725865386623,
      0.44512197458865527,
      0.43756799238156,
      0.43014284264400127,
      0.42284412175163144,
      0.41566974566373,
      0.4086177800614365,
      0.40168618875068324,
      0.3948728902005011,
      0.38817579170806865,
      0.38159281048373944,
      0.3751218866270135,
      0.3687609907752219,
      0.36250812844902264,
      0.35636134414832565,
      0.35031884551555387,
      0.3443789311004563,
      0.33853986372143663,
      0.33279989785447783,
      0.32715729605869426,
      0.321610339087606,
      0.3161573316757454,
      0.3107966063073384,
      0.3055265502365205,
      0.3003455976298195,
      0.2952521973994266,
      0.2902448176407777,
      0.2853219495526982,
      0.28048210964345743,
      0.2757238407833693,
      0.2710457123932614,
      0.2664463208680783,
      0.2619242891483695,
      0.25747813373993905,
      0.25310627033796673,
      0.2488072254532207,
      0.24457962309467823,
      0.24042215771249792,
      0.2363335769459047,
      0.2323126701330227,
      0.2283582607621078,
      0.2244692474958842,
      0.22064489372069135,
      0.21688453522572082,
      0.2131873540263716,
      0.20955244175094695,
      0.20597883886974658,
      0.20246556024401263,
      0.19901161094659453,
      0.19561598613699613,
      0.1922776020599814,
      0.18899537020430063,
      0.1857682603771947,
      0.18259528581127762,
      0.17947549332541668,
      0.1764079570210755,
      0.17339177407944445,
      0.17042606217458361,
      0.1675099573617788,
      0.16464261289151538,
      0.1618231983356559,
      0.15905089852734655,
      0.15632491332987786,
      0.15364445701145507,
      0.15100875793944038,
      0.14841705824822074,
      0.14586861345604618,
      0.14336269223298623,
      0.1408985761418353,
      0.13847555932715278,
      0.13609294821407222,
      0.13375006131941436,
      0.13144622899610212,
      0.12918079340334584,
      0.12695310809253937,
      0.1247625378183835,
      0.12260845825666977,
      0.12049025587009107,
      0.11840732779478186,
      0.11635908151875934,
      0.11434493477077665,
      0.11236431526358541,
      0.11041666069835046,
      0.10850141821600748,
      0.10661804440072757,
      0.10476600530151811,
      0.10294477593768099,
      0.10115384043235015,
      0.09939269166718359,
      0.09766083114432862,
      0.0959577690177829,
      0.09428302367006963,
      0.0926361215208026,
      0.0910165971933617,
      0.08942399328361754,
      0.08785786010528479,
      0.08631775550645976,
      0.08480324485556223,
      0.08331390094237745,
      0.08184930370453081,
      0.08040904028450231,
      0.07899270466074432,
      0.07759989774486802,
      0.07623022721736278,
      0.07488330736539504,
      0.07355875879135286,
      0.07225620876440352,
      0.0709752907692528,
      0.06971564435411769,
      0.0684769152009323,
      0.06725875487427077,
      0.06606082080513764,
      0.06488277626089148,
      0.0637242900696764,
      0.0625850366449144,
      0.06146469603377211,
      0.060362953436086594,
      0.05927949939102177,
      0.0582140296053257,
      0.057166244876857106,
      0.056135851065849375,
      0.05512255894480212,
      0.05412608416260627,
      0.053146147042052894,
      0.052182472639856925,
      0.05123479052863914,
      0.05030283478039742,
      0.04938634402728419,
      0.048485061189747526,
      0.04759873359293915,
      0.04672711277863918,
      0.04586995437108327,
      0.04502701808271285,
      0.04419806743593987,
      0.04338287017094115,
      0.04258119780074826,
      0.04179282561043998,
      0.041017532800985204,
      0.04025510213274835,
      0.03950531992609804,
      0.038767976158386674,
      0.03804286429168741,
      0.037329781222108185,
      0.03662852713110139,
      0.03593890564802752,
      0.03526072375262563,
      0.03459379142324371,
      0.033937921862664235,
      0.03329293148800231,
      0.03265863969805754,
      0.03203486884891257,
      0.03142144435581131,
      0.030818194482269832,
      0.03022495040716571,
      0.029641546080748257,
      0.029067818148610685,
      0.028503606000180842,
      0.027948751790018926,
      0.02740310015161005,
      0.02686649832806064,
      0.02633879618543908,
      0.025819846000942805,
      0.0253095025787304,
      0.024807623178061115,
      0.02431406731118116,
      0.0238286967851293,
      0.023351375943764355,
      0.02288197121910184,
      0.02242035129602079,
      0.02196638694155996,
      0.021519951084308157,
      0.021080918927449385,
      0.02064916767022272,
      0.020224576472286735,
      0.01980702659114651,
      0.0193964011905204,
      0.018992585391761335,
      0.018595466281794554,
      0.018204932763397855,
      0.01782087564157866,
      0.017443187399085767,
      0.01707176239244243,
      0.016706496844884188,
      0.016347288560631005,
      0.01599403710317376,
      0.015646643573335266,
      0.015305010870596802,
      0.014969043388629621,
      0.01463864715582287,
      0.014313729784960299,
      0.013994200467122823,
      0.013679969863857583,
      0.013370950087733148,
      0.013067054643685204,
      0.012768198452725022,
      0.012474297950715403,
      0.012185270970752234,
      0.01190103670668768,
      0.01162151571474703,
      0.011346629849903474,
      0.011076302315554626,
      0.010810457514948971,
      0.010549021002601956,
      0.010291919733280372,
      0.010039081889711081,
      0.009790436658234772,
      0.009545914510695147,
      0.009305446982530418,
      0.009068966817781195,
      0.008836407959414153,
      0.008607705462167018,
      0.008382795371143878,
      0.008161614814434549,
      0.007944101909085977,
      0.007730195836434501,
      0.00751983670499091,
      0.00731296568459409,
      0.0071095250171037405,
      0.0069094578663074875,
      0.006712708228316226,
      0.006519221086941111,
      0.006328942293507873,
      0.006141818723216614,
      0.005957797977433995,
      0.0057768285978489166,
      0.005598860106701148,
      0.005423842604475901,
      0.005251727191625943,
      0.005082465801743085,
      0.004916011127663724,
      0.004752316543746367,
      0.0045913362791447625,
      0.004433025288997769,
      0.0042773393321538615,
      0.004124234867508588,
      0.003973669220149556,
      0.0038256002612238097,
      0.0036799865224765096,
      0.003536787307012201,
      0.0033959625931239803,
      0.0032574730680442225,
      0.0031212799672735276,
      0.0029873451832656893,
      0.0028556312302560117,
      0.0027261013388893045,
      0.002598719305522378,
      0.002473449521869076,
      0.002350257006920611,
      0.0022291072060376823,
      0.0021099662815819084,
      0.001992800954455519,
      0.0018775782909222756,
      0.0017642662221267007,
      0.0016528331255412027,
      0.0015432478280975042,
      0.0014354795982554013,
      0.0013294982417331623,
      0.001225274218286435,
      0.0011227784302409538,
      0.0010219822166388228,
      0.0009228573103773947,
      0.0008253760710061082,
      0.0007295112297934149,
      0.0006352359862075767,
      0.0005425240363256336,
      0.00045134941867094213,
      0.00036168657767089,
      0.00027351049247086615,
      0.00018679649570798213,
      0.00010152043142333848,
      1.7658445557428286e-05,
      -6.48130312456786e-05,
      -0.00014591706468742194,
      -0.00022567619902143105,
      -0.00030411273638300247,
      -0.00038124867182066664,
      -0.000457105633338935,
      -0.0005317046739626265,
      -0.0006050668000654443,
      -0.0006772124617458825,
      -0.0007481618308072628,
      -0.0008179347525701297,
      -0.0008865505944805782,
      -0.0009540287233328954,
      -0.0010203880212510503,
      -0.001085646966218034,
      -0.001149823812870827,
      -0.0012129364860024468,
      -0.001275002536376812,
      -0.0013360394642329095,
      -0.0013960642914872155,
      -0.0014550938770998727,
      -0.0015131446202201928,
      -0.0015702328430215959,
      -0.0016263744220557717,
      -0.0016815850222841793,
      -0.001735880158571768,
      -0.0017892751039933455,
      -0.0018417845872806936,
      -0.0018934233149876314,
      -0.0019442057300793397,
      -0.001994146087846692,
      -0.0020432583528711508,
      -0.0020915563492283243,
      -0.002139053534930324,
      -0.002185763156482135,
      -0.002231698218147474,
      -0.002276871545751911,
      -0.0023212958052910987,
      -0.002364983482733469,
      -0.0024079467419452884,
      -0.0024501975491144595,
      -0.0024917478022338907,
      -0.002532609104270566,
      -0.002572792827934304,
      -0.002612310172885106,
      -0.0026511723244067205,
      -0.0026893901027235222,
      -0.002726974094609976,
      -0.0027639348921416453,
      -0.0028002828608130023,
      -0.002836028052987763,
      -0.0028711805081325583,
      -0.0029057501522196452,
      -0.0029397466460234023,
      -0.0029731794293914996,
      -0.0030060578409135566,
      -0.0030383910591982215,
      -0.003070188094285049,
      -0.0031014578359978557,
      -0.0031322090568200794,
      -0.003162450382742936,
      -0.0031921902254249362,
      -0.0032214369423752016,
      -0.003250198780724781,
      -0.003278483763398333,
      -0.003306299688692668,
      -0.003333654402690965,
      -0.003360555537336869,
      -0.0033870105914149996,
      -0.0034130268962622103,
      -0.0034386117846318797,
      -0.0034637723776675543,
      -0.0034885156892141556,
      -0.0035128487487335277
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334470037903614,
      10.092686634924577,
      9.84423349223707,
      9.591978796483753,
      9.338492556527822,
      9.08598506691646,
      8.836294444671974,
      8.590878781005951,
      8.35080989597008,
      8.116794874608194,
      7.88921368886381,
      7.668167135317419,
      7.453530446458112,
      7.245008086007422,
      7.0421860656698385,
      6.844579249572379,
      6.651672231547182,
      6.462953293627511,
      6.277941550539331,
      6.096207641256925,
      5.917384139552889,
      5.7411638786559775,
      5.567305577099742,
      5.395650904046047,
      5.226117870876169,
      5.058688960048831,
      4.893429040858473,
      4.730517433457776,
      4.570226802530294,
      4.412865865466953,
      4.258769027754643,
      4.108303231827656,
      3.96185526007619,
      3.8198013228623338,
      3.6824935993732355,
      3.5502479277320362,
      3.4233339481109533,
      3.301968676303501,
      3.1863123896832537,
      3.0764625356477424,
      2.9724412630575276,
      2.8741994900877397,
      2.7816088154644327,
      2.694455792867854,
      2.6124862369747546,
      2.535445938052585,
      2.463068611568619,
      2.3950876424251364,
      2.331236011076586,
      2.271228203585542,
      2.214719878834752,
      2.1613349177459797,
      2.1107365832974505,
      2.062598401137995,
      2.0166219458483106,
      1.9725520420026679,
      1.9301853624297245,
      1.889350007182735,
      1.849904103706642,
      1.8117308316105951,
      1.774725310300751,
      1.7388007401784735,
      1.7038871551816008,
      1.6699267156232591,
      1.63686968364958,
      1.6046722873404935,
      1.5732953318023046,
      1.542704372199309,
      1.5128719500664658,
      1.4837746000043734,
      1.4553887468574158,
      1.4276907710462672,
      1.4006571892505608,
      1.3742638641124294,
      1.348487417201264,
      1.323305998321275,
      1.2986990552575817,
      1.274647168877012,
      1.251131929821012,
      1.2281358434035774,
      1.2056422533954154,
      1.1836354171955712,
      1.1621006130762144,
      1.1410240129978866,
      1.120393364826209,
      1.10019692056645,
      1.0804235279752024,
      1.0610620576954732,
      1.0421014242607565,
      1.0235307270731655,
      1.005339332607994,
      0.987516920265577,
      0.9700535042127086,
      0.952939441169614,
      0.936165429028927,
      0.9197225005500812,
      0.9036020128399121,
      0.8877956361053393,
      0.872295341075838,
      0.8570933864630427,
      0.8421823062316278,
      0.8275548972060502,
      0.8132042076284928,
      0.7991235256443399,
      0.7853063682076633,
      0.7717464712455252,
      0.7584377797263484,
      0.7453744383778467,
      0.7325507824990477,
      0.7199613300029749,
      0.7076007735118234,
      0.6954639728692664,
      0.6835459477155212,
      0.6718418709644927,
      0.6603470624368669,
      0.6490569826399765,
      0.6379672266776173,
      0.6270735194417557,
      0.6163717102057552,
      0.605857759526287,
      0.5955276884175139,
      0.5853776225046351,
      0.5754038212081505,
      0.5656026632126013,
      0.5559706359528476,
      0.5465043286479928,
      0.5372007250446993,
      0.5280576313567624,
      0.5190726919189148,
      0.510243305095267,
      0.5015667413264567,
      0.49304021647166857,
      0.4846609382915972,
      0.4764261341362673,
      0.4683330679197841,
      0.4603790502032657,
      0.45256144393788883,
      0.44487766703084236,
      0.43732519357212424,
      0.4299015538239367,
      0.4226043559329683,
      0.41543153181385434,
      0.4083811354945792,
      0.4014511235925236,
      0.39463940970712424,
      0.3879438982074073,
      0.3813625044116265,
      0.3748931669162229,
      0.3685338554388832,
      0.36228257480013065,
      0.3561373740232191,
      0.3500964671073999,
      0.3441581477534723,
      0.3383206755571412,
      0.3325823027959539,
      0.3269412907929711,
      0.3213959195239884,
      0.3159444931696735,
      0.31058534372675056,
      0.30531685994409286,
      0.30013747568988036,
      0.2950456388250941,
      0.29003981693185493,
      0.2851185007837858,
      0.28028020648472324,
      0.2755234766195636,
      0.27084688047729855,
      0.26624901428151926,
      0.2617285007208605,
      0.25728386026590166,
      0.25291350861327344,
      0.24861597072825917,
      0.24438986960558584,
      0.24023389904167392,
      0.23614680622536421,
      0.23212738018130585,
      0.2281744442184924,
      0.2242868926164901,
      0.2204639827332581,
      0.2167050538228723,
      0.2130092902194057,
      0.20937578491079276,
      0.20580357917894868,
      0.20229168839224607,
      0.19883911782728977,
      0.19544486064925745,
      0.1921078301961817,
      0.18882693994272967,
      0.1856011610835288,
      0.18242950764547783,
      0.17931102687945846,
      0.17624479316125868,
      0.17322990386539996,
      0.17026547673362513,
      0.16735064792176735,
      0.16448457069903952,
      0.16166641459904335,
      0.1588953645308159,
      0.15617062031774842,
      0.15349139626329317,
      0.15085692068527848,
      0.1482664356595117,
      0.1457191967630761,
      0.14321447246022712,
      0.14075154435124967,
      0.13832970646643664,
      0.13594826534595963,
      0.13360653950079093,
      0.13130385930340058,
      0.12903956687478912,
      0.1268130157271521,
      0.12462357059984872,
      0.12247060724663465,
      0.12035351213636895,
      0.11827168239648501,
      0.11622452552264034,
      0.11421145921028218,
      0.11223191107192095,
      0.1102853187683192,
      0.10837112956725663,
      0.1064888002011361,
      0.10463779662806057,
      0.1028175939695315,
      0.10102767638936977,
      0.0992675367293043,
      0.097536676459952,
      0.09583460574322109,
      0.09416084290102217,
      0.0925149145603915,
      0.09089635540122495,
      0.08930470789300764,
      0.08773952241486613,
      0.08620035689736852,
      0.08468677668455965,
      0.08319835460003926,
      0.08173467057184292,
      0.0802953116924565,
      0.07887987212301237,
      0.07748795284767734,
      0.0761191615000022,
      0.0747731124579515,
      0.07344942641924614,
      0.07214773067057674,
      0.07086765866147353,
      0.06960884999858745,
      0.06837095038874935,
      0.06715361151844441,
      0.06595649082158027,
      0.06477925157663038,
      0.06362156272944867,
      0.06248309883257261,
      0.06136353976958358,
      0.0602625707917804,
      0.059179882390135566,
      0.058115170482608274,
      0.05706813600457796,
      0.05603848481687281,
      0.05502592768948541,
      0.05403018028443652,
      0.05305096314741232,
      0.052088001218205934,
      0.05114102412771238,
      0.05020976606365365,
      0.049293965768505046,
      0.048393366207224765,
      0.04750771469999852,
      0.04663676270199208,
      0.04578026590776056,
      0.04493798407231926,
      0.04410968103547849,
      0.04329512450414178,
      0.04249408612259123,
      0.04170634124319032,
      0.040931668939970786,
      0.0401698519601349,
      0.03942067678509265,
      0.03868393345451155,
      0.03795941548011818,
      0.03724691982695297,
      0.03654624671411834,
      0.035857199802887284,
      0.03517958599743263,
      0.03451321549990595,
      0.033857901553615094,
      0.03321346058592739,
      0.03257971206444754,
      0.0319564784732038,
      0.03134358511566982,
      0.03074086041256518,
      0.030148135556031536,
      0.02956524453745591,
      0.02899202402676922,
      0.028428313491279295,
      0.027873955083621747,
      0.027328793552905708,
      0.026792676165566964,
      0.026265452916251195,
      0.025746976278293834,
      0.025237100995687253,
      0.024735684367531804,
      0.024242585969497597,
      0.023757667753291224,
      0.023280793856191587,
      0.02281183078220395,
      0.022350647299079672,
      0.02189711428739141,
      0.021451104801164318,
      0.021012494016132872,
      0.020581159129075374,
      0.02015697936033911,
      0.019739835964275018,
      0.01932961235586301,
      0.018926193660170128,
      0.01852946692428953,
      0.018139321062498655,
      0.01775564696197516,
      0.0173783372269544,
      0.017007286247671113,
      0.016642390200054005,
      0.016283546829580466,
      0.01593065577578782,
      0.015583618363374158,
      0.01524233750808953,
      0.014906717653896699,
      0.014576664933062288,
      0.014252086874387206,
      0.013932892664138493,
      0.01361899310787505,
      0.013310300242522475,
      0.01300672772324965,
      0.012708190618173345,
      0.01241460545714011,
      0.01212589001879744,
      0.011841963542626049,
      0.01156274665996791,
      0.01128816104487676,
      0.011018129889292365,
      0.010752577671410614,
      0.010491430063328477,
      0.010234614097358161,
      0.00998205796250549,
      0.009733690951747951,
      0.009489443566226129,
      0.009249247452725463,
      0.009013035370690863,
      0.008780741259153386,
      0.008552300117609267,
      0.008327648075325536,
      0.00810672233176946,
      0.007889460947846295,
      0.007675803175903761,
      0.007465689303894054,
      0.00725906049080574,
      0.00705585891772411,
      0.006856027738970318,
      0.006659511081593179,
      0.006466253965949068,
      0.006276202382780791,
      0.00608930305574096,
      0.005905503722164922,
      0.005724752991386054,
      0.005547000372174864,
      0.005372196131778992,
      0.005200291234411745,
      0.00503123760033298,
      0.004864988018938539,
      0.0047014959381245156,
      0.004540715548593555,
      0.004382601877666934,
      0.004227110720818591,
      0.004074198531787737,
      0.003923822678122628,
      0.003775940987138153,
      0.0036305121658884976,
      0.003487495549980762,
      0.0033468510584398177,
      0.003208539329047009,
      0.003072521722763612,
      0.0029387602224899933,
      0.002807217259218322,
      0.002677856149618732,
      0.0025506406783289675,
      0.002425535191125246,
      0.0023025047731854275,
      0.0021815149782237133,
      0.00206253195419584,
      0.001945522475731191,
      0.0018304537120118478,
      0.00171729351766617,
      0.0016060102240086972,
      0.0014965727053292248,
      0.0013889504476138853,
      0.001283113218948916,
      0.0011790315361255605,
      0.0010766761986776765,
      0.0009760185117414121,
      0.0008770302496431644,
      0.0007796837739896276,
      0.0006839519698706199,
      0.0005898080055439341,
      0.0004972256407845203,
      0.00040617894576528075,
      0.0003166424220070906,
      0.00022859094646988503,
      0.0001419998768200427,
      5.684490994252541e-05,
      -2.6897695376329554e-05,
      -0.00010925133887489497,
      -0.00019023903072155963,
      -0.0002698833418183701,
      -0.0003482066579556537,
      -0.00042523093677006134,
      -0.0005009776094521408,
      -0.000575467862298118,
      -0.0006487225798737763,
      -0.0007207622550241437,
      -0.0007916070950021102,
      -0.0008612769672952556,
      -0.000929791311939004,
      -0.0009971691798182235,
      -0.0010634294220499992,
      -0.0011285907003114807,
      -0.00119267115921599,
      -0.00125568879044504,
      -0.0013176612168917445,
      -0.0013786057364979743,
      -0.001438539402915039,
      -0.001497478933348723,
      -0.0015554408888175755,
      -0.0016124414654132438,
      -0.0016684966535627365,
      -0.0017236220779657736,
      -0.0017778331927008765,
      -0.0018311451635580483,
      -0.0018835729723880414,
      -0.0019351312657466383,
      -0.0019858343235895546,
      -0.0020356963759340808,
      -0.0020847313152750216,
      -0.002132952846538704,
      -0.0021803745918435426,
      -0.0022270097813023785,
      -0.0022728715087215958,
      -0.002317972496475985,
      -0.0023623254127847653,
      -0.0024059427492462444,
      -0.0024488367433568897,
      -0.0024910192800468856,
      -0.002532502167431415,
      -0.002573297023951324,
      -0.0026134152348906686,
      -0.002652868041745,
      -0.002691666471757165,
      -0.002729821311214726,
      -0.0027673432496125644,
      -0.0028042428454205692,
      -0.0028405303891625025,
      -0.0028762160330895736,
      -0.0029113097928385326,
      -0.0029458214275884286,
      -0.002979760650246216,
      -0.003013136892024183,
      -0.003045959543037892,
      -0.0030782378109838445,
      -0.003109980731990813,
      -0.003141197231454221,
      -0.003171895936314243,
      -0.00320208540634899,
      -0.0032317741995342717,
      -0.003260970612812288,
      -0.0032896827658199547,
      -0.0033179186963413422,
      -0.0033456863154085856,
      -0.003372993368491869,
      -0.0033998474976129275,
      -0.0034262562268521876,
      -0.0034522268902245,
      -0.0034777667493605022,
      -0.0035028829903401993,
      -0.0035275826246005735,
      -0.0035518725291941128
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33446574300169,
      10.092672922154359,
      9.844204969712845,
      9.59193041416942,
      9.338420737743807,
      9.085887370042885,
      8.836169446690098,
      8.590725781971615,
      8.350628662486958,
      8.116585476970716,
      7.888976373728327,
      7.667902226327228,
      7.453238281405663,
      7.2446889831063395,
      7.041840314101685,
      6.844207118667123,
      6.651273993731253,
      6.462529252963531,
      6.277492071663289,
      6.0957332395144315,
      5.916885561179413,
      5.740642169419313,
      5.566762015943258,
      5.395087002582842,
      5.225535292808905,
      5.058089542976226,
      4.892815063912222,
      4.729892080263401,
      4.56959358130154,
      4.412228307171389,
      4.258130646205936,
      4.107667687583174,
      3.9612261952005756,
      3.819182176407118,
      3.681887543830312,
      3.549657827964118,
      3.4227623174142874,
      3.301417644680296,
      3.1857837124661157,
      3.075957512384788,
      2.9719605890803718,
      2.87374326348795,
      2.7811764638783494,
      2.69404614229682,
      2.612097905417068,
      2.53507742257403,
      2.4627181953869997,
      2.394753563555964,
      2.330916519286997,
      2.2709215200804937,
      2.2144236702974376,
      2.1610469795855014,
      2.1104548565478845,
      2.06232095884884,
      2.016347207518072,
      1.972278809350017,
      1.9299127462405365,
      1.8890773465923048,
      1.8496309301748455,
      1.8114567548190494,
      1.7744499674984704,
      1.7385238936414869,
      1.703608550521009,
      1.6696461486767535,
      1.636587029387065,
      1.6043874752292098,
      1.573008328712287,
      1.5424153348760539,
      1.512581295800465,
      1.4834827149277015,
      1.4550958947839103,
      1.4273971352513697,
      1.4003629163813447,
      1.3739690881950501,
      1.348192232398533,
      1.323010473296732,
      1.2984032422901175,
      1.2743511100649048,
      1.2508356607814743,
      1.2278393958409644,
      1.2053456564368186,
      1.183338812512705,
      1.1618041463779112,
      1.1407277931631858,
      1.120097484900057,
      1.0999014572085073,
      1.0801285413428314,
      1.0607675921082043,
      1.0418075139135008,
      1.0232373997336133,
      1.0050466120667103,
      0.9872248276434735,
      0.9697620591961635,
      0.9526486625651669,
      0.9358753351980046,
      0.9194331090630956,
      0.9033133413854955,
      0.8875077021622735,
      0.8720081618751614,
      0.856806979036163,
      0.8418966875958437,
      0.8272700843836441,
      0.812920217295001,
      0.7988403746278078,
      0.7850240732623573,
      0.7714650488894429,
      0.758157246319001,
      0.7450948098811145,
      0.7322720749364228,
      0.719683559195401,
      0.70732395485269,
      0.695188121442997,
      0.6832710784556973,
      0.6715679986990543,
      0.6600742014395494,
      0.6487851468825864,
      0.6376964301481989,
      0.6268037759696594,
      0.6161030331505111,
      0.6055901611759854,
      0.5952611807492701,
      0.5851122178083799,
      0.5751395314051077,
      0.565339499827026,
      0.5557086103550152,
      0.5462434517028391,
      0.5369410899209035,
      0.5277993332351232,
      0.518815791976125,
      0.5099878429707446,
      0.5013127431866193,
      0.49278769986913024,
      0.484409914800786,
      0.47617661158145497,
      0.46808505176993054,
      0.4601325444181559,
      0.4523164514218128,
      0.4446341898984955,
      0.4370832333046119,
      0.4296611114425946,
      0.42236544439884194,
      0.41519417993156443,
      0.4081453604810942,
      0.40121693521013047,
      0.3944068131665097,
      0.38771289557406335,
      0.3811330957427648,
      0.3746653510044184,
      0.3683076301400311,
      0.3620579373797263,
      0.3559143264046026,
      0.34987501757843753,
      0.34393829955724603,
      0.3381024287847476,
      0.33236565549951197,
      0.32672623968124537,
      0.321182460395231,
      0.3157326211090802,
      0.3103750536295035,
      0.30510814829441624,
      0.2999303384119302,
      0.2948400709364641,
      0.28983581277566783,
      0.28491605423106675,
      0.2800793110304515,
      0.27532412557687774,
      0.27064906696553387,
      0.26605273105861427,
      0.2615337406232973,
      0.2570906200053185,
      0.25272178499046266,
      0.2484257590739289,
      0.24420116427335375,
      0.24004669367957315,
      0.23596109397983933,
      0.23194315379562208,
      0.2279916960520332,
      0.22410561068124948,
      0.22028414936548005,
      0.21652665490980694,
      0.21283231364663413,
      0.2092002197931888,
      0.2056294156552497,
      0.20211891702763063,
      0.19866772953845438,
      0.1952748442389614,
      0.19193917152958279,
      0.18865962692821966,
      0.1854351830106178,
      0.1822648546292147,
      0.1791476894728451,
      0.17608276218420804,
      0.1730691703680029,
      0.17010603191513401,
      0.1671924829981984,
      0.16432767689104152,
      0.16151078313852396,
      0.1587409865394069,
      0.15601748699634344,
      0.15333949868011337,
      0.15070624993212972,
      0.14811698284845612,
      0.14557095293354916,
      0.1430674287653452,
      0.14060569181166988,
      0.1381850361618727,
      0.13580476815515596,
      0.1334642064126848,
      0.13116268139742135,
      0.12889953505304297,
      0.12667412094200342,
      0.12448580381374774,
      0.12233395944299666,
      0.1202179743171966,
      0.11813724554794519,
      0.11609118063754337,
      0.11407919726586462,
      0.11210072321081646,
      0.11015519594545743,
      0.10824206271128915,
      0.10636078026714729,
      0.10451081463116929,
      0.10269164087196833,
      0.10090274317200174,
      0.09914361448815882,
      0.09741375631218308,
      0.09571267880314417,
      0.09403990047221893,
      0.09239494790194724,
      0.090777355709996,
      0.08918666644462689,
      0.08762243044390214,
      0.08608420568733552,
      0.0845715575718427,
      0.08308405888594411,
      0.08162128974574692,
      0.0801828372994705,
      0.07876829569560116,
      0.07737726579862872,
      0.07600935545388897,
      0.07466417893757596,
      0.07334135713287473,
      0.072040517290616,
      0.07076129288953872,
      0.06950332360483702,
      0.0682662551242413,
      0.06704973918332685,
      0.06585343331737632,
      0.06467700084759719,
      0.06352011076125505,
      0.06238243760334441,
      0.061263661356720595,
      0.06016346728489194,
      0.059081546170088144,
      0.058017593804812494,
      0.05697131106539238,
      0.055942403921375984,
      0.05493058329234138,
      0.05393556478330782,
      0.052957068844519194,
      0.05199482061908222,
      0.051048549798040736,
      0.050117990617058614,
      0.04920288187330785,
      0.04830296652685199,
      0.04741799208123926,
      0.046547710071391614,
      0.04569187619688475,
      0.04485025027982131,
      0.04402259613677579,
      0.04320868149111792,
      0.04240827798966735,
      0.04162116107166211,
      0.04084710987460563,
      0.04008590733564212,
      0.039337339906353914,
      0.03860119765975173,
      0.037877274134366305,
      0.03716536635398589,
      0.03646527463443414,
      0.035776802721498475,
      0.035099757573004965,
      0.03443394945195835,
      0.033779191657200835,
      0.033135300609537684,
      0.03250209587302567,
      0.03187939994713318,
      0.031267038279803955,
      0.030664839292199448,
      0.030072634153847567,
      0.029490256892754498,
      0.02891754428783749,
      0.02835433586097374,
      0.02780047394312986,
      0.02725580322982164,
      0.026720171134694732,
      0.02619342759360675,
      0.025675424986663944,
      0.025166018318017454,
      0.024665064762991018,
      0.02417242398094671,
      0.023687957979630796,
      0.023211531160675362,
      0.02274301007490553,
      0.02228226337715386,
      0.02182916210119721,
      0.021383579307220724,
      0.02094539013845267,
      0.020514471879271613,
      0.020090703881761384,
      0.019673967563993873,
      0.01926414605363524,
      0.01886112463371746,
      0.018464790401073423,
      0.01807503240304278,
      0.017691741501688212,
      0.017314810366165428,
      0.016944133401750203,
      0.016579606864362027,
      0.016221128663492682,
      0.01586859839479368,
      0.015521917436583037,
      0.015180988728549958,
      0.014845716709062795,
      0.014516007583308043,
      0.014191768993694632,
      0.013872910172989895,
      0.013559341861966199,
      0.013250976207367138,
      0.012947726926617963,
      0.012649509115361224,
      0.012356239258382761,
      0.012067835232657562,
      0.01178421629065744,
      0.01150530308725956,
      0.01123101746372972,
      0.010961282732922439,
      0.010696023238407357,
      0.010435164853088784,
      0.010178634503647909,
      0.009926360380232365,
      0.009678271851852325,
      0.009434299367358422,
      0.00919437475539186,
      0.008958430829305558,
      0.008726401467220903,
      0.00849822186151834,
      0.008273828143665873,
      0.008053157483547933,
      0.007836148059010714,
      0.007622739093494342,
      0.007412870820833589,
      0.007206484505236201,
      0.007003522337997149,
      0.006803927624166447,
      0.006607644432886736,
      0.006414617797705914,
      0.00622479369152838,
      0.00603811892291499,
      0.0058545413154092825,
      0.005674009463626606,
      0.005496472793516857,
      0.005321881688554573,
      0.005150187281498167,
      0.0049813414855476666,
      0.00481529704716795,
      0.004652007468775424,
      0.0044914270107435225,
      0.00433351076640598,
      0.004178214530154735,
      0.00402549477029335,
      0.0038753088144082063,
      0.003727614567400177,
      0.003582370708794376,
      0.003439536632340483,
      0.0032990723884085272,
      0.0031609385525478498,
      0.003025096509805701,
      0.0028915081693619065,
      0.0027601362350246034,
      0.0026309439696805452,
      0.002503895051069133,
      0.0023789539636612667,
      0.0022560857890733593,
      0.002135256151774219,
      0.0020164311605472326,
      0.00189957760621144,
      0.0017846627865742226,
      0.0016716545627023553,
      0.001560521232695318,
      0.001451231610717478,
      0.0013437552737040265,
      0.0012380620727036006,
      0.0011341223900712698,
      0.0010319071376676393,
      0.0009313877826004422,
      0.0008325361523716021,
      0.0007353246297236064,
      0.0006397259424850341,
      0.0005457132600127335,
      0.00045326025957110596,
      0.00036234118849048404,
      0.00027293066758810833,
      0.00018500352140312152,
      9.853510588400047e-05,
      1.3501224110120549e-05,
      -7.012175234019882e-05,
      -0.00015235735142816998,
      -0.0002332286541745968,
      -0.0003127582134339334,
      -0.00039096830794482345,
      -0.0004678807880148985,
      -0.0005435171421708292,
      -0.0006178985878779697,
      -0.0006910460087019058,
      -0.000762979845249055,
      -0.0008337201691034916,
      -0.0009032869016847534,
      -0.0009716993961448713,
      -0.0010389768887687245,
      -0.0011051381101353154,
      -0.001170201702077496,
      -0.001234185871002275,
      -0.0012971085040730506,
      -0.0013589872138238268,
      -0.0014198392546493986,
      -0.0014796816732749957,
      -0.0015385312548748965,
      -0.0015964045252913857,
      -0.0016533176569412274,
      -0.0017092865704899408,
      -0.0017643268699119232,
      -0.0018184540058299697,
      -0.0018716830434019097,
      -0.001924028937721993,
      -0.0019755063637484074,
      -0.0020261296972906803,
      -0.0020759131479515473,
      -0.0021248706749278433,
      -0.002173016022762413,
      -0.0022203625907523225,
      -0.002266923663787109,
      -0.0023127122736135495,
      -0.0023577411927107723,
      -0.0024020230353492267,
      -0.0024455702116904184,
      -0.002488394919309403,
      -0.002530509044708939,
      -0.0025719243817723674,
      -0.002612652684457682,
      -0.0026527052102761615,
      -0.002692093216370174,
      -0.002730827717280435,
      -0.0027689196363147057,
      -0.002806379594066366,
      -0.0028432180710210213,
      -0.002879445359469736,
      -0.0029150716550156858,
      -0.0029501067783626197,
      -0.0029845606338283737,
      -0.0030184428982713975,
      -0.0030517630337504025,
      -0.0030845302991056736,
      -0.003116753869048414,
      -0.0031484428639454937,
      -0.0031796061182602846,
      -0.003210252387175067,
      -0.0032403901707814026,
      -0.003270027989500808,
      -0.0032991741247558482,
      -0.0033278366322667327,
      -0.003356023603074314,
      -0.00338374277505714,
      -0.0034110019769468254,
      -0.0034378089236292327,
      -0.0034641711574578404,
      -0.003490096116133694,
      -0.003515591015450134,
      -0.003540662979514966,
      -0.003565318947658187,
      -0.003589565873613188
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334461445862363,
      10.092659203999283,
      9.844176437351287,
      9.591882011919695,
      9.338348885235659,
      9.085789625682324,
      8.836044385369371,
      8.590572702998815,
      8.350447332401748,
      8.11637596671641,
      7.888738928025509,
      7.6676371696822,
      7.452945952885337,
      7.244369701740832,
      7.04149436951581,
      6.843834781356722,
      6.650875536983278,
      6.462104981651069,
      6.277042354700998,
      6.09525858837948,
      5.916386719136244,
      5.740120184725781,
      5.566218169258432,
      5.3945228076265135,
      5.224952415460417,
      5.057489822333614,
      4.892200780944211,
      4.729266421053023,
      4.5689600578095195,
      4.411590454120556,
      4.257491978863182,
      4.10703186802282,
      3.9605968676029244,
      3.8185627807428917,
      3.6812812528697556,
      3.549067506474394,
      3.4221904782006836,
      3.300866418581536,
      3.1852548515925814,
      3.0754523171544976,
      2.971479755434158,
      2.873286889067746,
      2.7807439749865552,
      2.693636363554777,
      2.6117094554500446,
      2.534708799669088,
      2.4623676837720314,
      2.3944194026853016,
      2.3305969587139246,
      2.2706147808299972,
      2.2141274191720925,
      2.1607590112688357,
      2.1101731119874305,
      2.062043498465274,
      2.016072443236543,
      1.9720055509043097,
      1.929640109933669,
      1.8888046765017568,
      1.8493577603436082,
      1.8111826958896144,
      1.774174657332555,
      1.738247095571474,
      1.7033300145087633,
      1.6693656693584769,
      1.636304481290082,
      1.6041027873284337,
      1.5727214674420142,
      1.542126457268216,
      1.5122908212268806,
      1.4831910286715901,
      1.4548032602421144,
      1.4271037349554674,
      1.400068896572663,
      1.373674582225247,
      1.3478973343036893,
      1.3227152515539586,
      1.2981077494945041,
      1.2740553886786024,
      1.250539746378397,
      1.2275433194739378,
      1.205049488597153,
      1.183042711837914,
      1.1615082345887444,
      1.1404321646325302,
      1.1198022229506683,
      1.0996066325839295,
      1.079834209997234,
      1.0604737956099115,
      1.0415142849503867,
      1.0229447651468302,
      1.004754595146747,
      0.9869334492333472,
      0.969471338518571,
      0.9523586178777834,
      0.935585984277496,
      0.9191444697742591,
      0.9030254309616325,
      0.8872205375380249,
      0.8717217603590942,
      0.8565213579007395,
      0.8416118637545683,
      0.8269860746631749,
      0.8126370386428019,
      0.7985580436448242,
      0.784742606662597,
      0.7711844633365833,
      0.7578775582506169,
      0.7448160356503264,
      0.7319942301017525,
      0.7194066592981884,
      0.7070480153941794,
      0.6949131576209122,
      0.6829971051698935,
      0.6712950305451599,
      0.6598022528192183,
      0.6485142317977712,
      0.6374265624423263,
      0.6265349690758865,
      0.6158353000842178,
      0.6053235147713711,
      0.5949956332502221,
      0.5848477811112925,
      0.5748762168598882,
      0.5650773189437958,
      0.5554475745880562,
      0.5459835719728688,
      0.5366824586849858,
      0.5275420452365096,
      0.5185599083530913,
      0.5097334035191108,
      0.5010597736866393,
      0.4925362175534037,
      0.4841599312429734,
      0.4759281346947191,
      0.4678380870488018,
      0.4598870958355657,
      0.45207252160227906,
      0.4443917807646921,
      0.436842346282911,
      0.4294217473818706,
      0.422127616147026,
      0.41495791623861283,
      0.4079106783893816,
      0.40098384454306824,
      0.3941753189729082,
      0.38748299986461104,
      0.3809047984479591,
      0.3744386509721245,
      0.36808252525966795,
      0.3618344248265915,
      0.35569240791293444,
      0.3496547011088854,
      0.34371958829328186,
      0.3378853228466427,
      0.33215015294295647,
      0.3265123371157398,
      0.3209701535059456,
      0.31552190505723254,
      0.3101659240837402,
      0.30490060182653744,
      0.2997243704109931,
      0.2946356759726439,
      0.2896329849833158,
      0.2847147873695431,
      0.2798795986179961,
      0.27512596072843576,
      0.27045244274900065,
      0.26585764044117777,
      0.2613401762757951,
      0.25689857865767046,
      0.25253126376046325,
      0.2482367533360236,
      0.24401366830470161,
      0.23986070099459944,
      0.23577659766051315,
      0.23176014644974924,
      0.22781017026440756,
      0.22392555452923005,
      0.22010554490006323,
      0.21634948773726967,
      0.21265657161616072,
      0.20902589212593956,
      0.20545649235739033,
      0.20194738859786263,
      0.1984975867778746,
      0.19510607595060453,
      0.19177176374558297,
      0.18849356764962144,
      0.18527046141781106,
      0.1821014606025344,
      0.17898561343248945,
      0.1759219950210163,
      0.1729097031647908,
      0.16994785569384513,
      0.1670355888286523,
      0.16417205600559537,
      0.16135642672191697,
      0.15858788580449504,
      0.15586563290918007,
      0.1531888823326755,
      0.15055686239920335,
      0.147968815133478,
      0.1454239960724385,
      0.14292167377743073,
      0.1404611297008439,
      0.1380416578347198,
      0.13566256468153481,
      0.13332316876504602,
      0.1310228005137098,
      0.12876080189940356,
      0.12653652645384394,
      0.12434933889391575,
      0.12219861498485121,
      0.12008374128458708,
      0.11800411482604495,
      0.11595914308688404,
      0.11394824384571567,
      0.11197084487393162,
      0.11002638367847087,
      0.10811430752434951,
      0.10623407311976514,
      0.10438514655483631,
      0.1025670029338804,
      0.10077912655290404,
      0.09902101020452128,
      0.09729215555464396,
      0.09559207270877658,
      0.0939202800939655,
      0.09227630438763186,
      0.09065968021411502,
      0.08906995021172405,
      0.08750666470479736,
      0.0859693816215186,
      0.084457666527606,
      0.0829710923111008,
      0.08150923908406897,
      0.0800716939950056,
      0.07865805112676638,
      0.07726791151735159,
      0.07590088295775828,
      0.07455657970253689,
      0.0732346227091694,
      0.07193463931973272,
      0.07065626304802244,
      0.06939913361491394,
      0.06816289685697906,
      0.06694720452364286,
      0.06575171409564275,
      0.06457608898741304,
      0.06341999828454256,
      0.06228311650818486,
      0.061165123721082605,
      0.060065705319772844,
      0.058984551961310555,
      0.057921359515503666,
      0.05687582888088016,
      0.0558476661470377,
      0.05483658218466054,
      0.05384229268914251,
      0.05286451819441978,
      0.05190298402559579,
      0.05095741995161767,
      0.05002756021697334,
      0.049113143532880585,
      0.04821391314942319,
      0.04732961635584836,
      0.04646000472184688,
      0.0456048340714562,
      0.04476386431132663,
      0.04393685920089387,
      0.043123586566822594,
      0.042323818154462754,
      0.041537329462343175,
      0.04076389975943583,
      0.04000331194217419,
      0.03925535254821042,
      0.03851981166952199,
      0.03779648290463933,
      0.03708516338182869,
      0.036385653496386186,
      0.0356977570804942,
      0.035021281052081785,
      0.03435603577517092,
      0.033701834523492985,
      0.03305849372559744,
      0.03242583305629711,
      0.03180367501899493,
      0.03119184524538761,
      0.030590172196154817,
      0.0299984869617541,
      0.029416623633215858,
      0.028844419213834977,
      0.028281713223930704,
      0.027728347843423755,
      0.027184168007359823,
      0.026649021143269794,
      0.026122757210699055,
      0.025605228738016073,
      0.02509629058900716,
      0.024595800247616446,
      0.024103617343126098,
      0.023619603896120805,
      0.023143624280943804,
      0.02267554522949834,
      0.022215235500459677,
      0.021762565988696175,
      0.021317409849909163,
      0.020879642360046816,
      0.02044914078326042,
      0.02002578458463688,
      0.019609455078987568,
      0.019200035621125405,
      0.0187974114734802,
      0.01840146982094235,
      0.018012099755199126,
      0.017629192139052285,
      0.017252639764017672,
      0.016882337057547978,
      0.016518180305400504,
      0.01616006743601762,
      0.01580789810384189,
      0.015461573703267548,
      0.01512099711546441,
      0.014786072989586957,
      0.014456707502244048,
      0.014132808384170126,
      0.013814284825581499,
      0.013501047565633032,
      0.013193008955703932,
      0.012890082717332172,
      0.012592183992154192,
      0.012299229448081232,
      0.01201113691408538,
      0.01172782560519326,
      0.011449216180926652,
      0.011175230674968357,
      0.010905792329278614,
      0.01064082561985489,
      0.010380256391527095,
      0.0101240115542181,
      0.009872019394228796,
      0.009624209286449551,
      0.009380511894585481,
      0.009140858905267864,
      0.008905183230868098,
      0.008673418828923429,
      0.008445500812111815,
      0.008221365314318293,
      0.0080009496218134,
      0.007784191933481471,
      0.007571031493720918,
      0.00736140862744965,
      0.007155264684260593,
      0.00695254189069504,
      0.00675318340353577,
      0.006557133328384575,
      0.006364336913957086,
      0.006174740184424088,
      0.005988290001113854,
      0.005804934083109471,
      0.0056246210626692906,
      0.00544730042995744,
      0.005272922468447298,
      0.005101438466981828,
      0.004932800413939939,
      0.004766960986948863,
      0.004603873780787949,
      0.00444349312509612,
      0.0042857740959146295,
      0.004130672530213033,
      0.003978144973403083,
      0.0038281487124451397,
      0.0036806417544867093,
      0.0035355827380964384,
      0.003392931165631552,
      0.003252647002314648,
      0.003114690989926376,
      0.002979024429539127,
      0.002845609283385926,
      0.00271440815905,
      0.002585384353831994,
      0.0024585017678812587,
      0.002333724870621426,
      0.0022110187012111308,
      0.0020903489094721674,
      0.001971681761085335,
      0.001854984017495031,
      0.0017402230474874226,
      0.0016273666991215002,
      0.001516383249676484,
      0.0014072416056463064,
      0.0012999112186870292,
      0.0011943620295217252,
      0.0010905644960750088,
      0.0009884895602897785,
      0.0008881086229599366,
      0.0007893935907094877,
      0.0006923167719882397,
      0.0005968510735183234,
      0.0005029697350775284,
      0.0004106463707715938,
      0.0003198552024539583,
      0.00023057074238739064,
      0.0001427679794072945,
      5.642229969550304e-05,
      -2.8490469808836725e-05,
      -0.00011199404172285386,
      -0.0001941118378772268,
      -0.0002748667630832433,
      -0.0003542815049219972,
      -0.00043237836196657935,
      -0.0005091791661342611,
      -0.0005847054000624393,
      -0.0006589781797117445,
      -0.0007320183245375147,
      -0.0008038464010973682,
      -0.000874482479237537,
      -0.0009439462745771401,
      -0.0010122573087255058,
      -0.0010794345977284301,
      -0.0011454970575741257,
      -0.0012104631840521485,
      -0.0012743511381283722,
      -0.001337178842694194,
      -0.001398963836417903,
      -0.0014597235337939247,
      -0.00151947496883014,
      -0.0015782347476077509,
      -0.0016360193296893913,
      -0.0016928449017972562,
      -0.0017487274225353726,
      -0.0018036824619920026,
      -0.0018577254923170564,
      -0.0019108717064225725,
      -0.001963135906022874,
      -0.00201453272508722,
      -0.0020650765983395193,
      -0.002114781677816007,
      -0.0021636618567417117,
      -0.0022117309385460923,
      -0.0022590022903217193,
      -0.002305489079733834,
      -0.0023512043967621648,
      -0.0023961610506962844,
      -0.002440371620560009,
      -0.002483848497487962,
      -0.0025266038511022565,
      -0.002568649690016489,
      -0.0026099977690678977,
      -0.0026506596035429163,
      -0.0026906466671013964,
      -0.0027299701124944495,
      -0.0027686409488757655,
      -0.0028066700213857905,
      -0.0028440680792055917,
      -0.0028808454487119573,
      -0.0029170124176944134,
      -0.002952579123068983,
      -0.0029875556477520393,
      -0.00302195165957308,
      -0.003055776850021135,
      -0.0030890407432490534,
      -0.0031217526699638,
      -0.003153921702246102,
      -0.003185556835279023,
      -0.0032166668511682617,
      -0.0032472605885627906,
      -0.0032773466148927786,
      -0.003306933317301245,
      -0.0033360290437241275,
      -0.0033646419382476057,
      -0.0033927800050880513,
      -0.003420451095421029,
      -0.003447662951052537,
      -0.0034744232091874286,
      -0.0035007394515479268,
      -0.0035266189542566997,
      -0.0035520689773227043,
      -0.003577096665743114,
      -0.0036017089504847806,
      -0.003625912683752628
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334457155536859,
      10.0926455026086,
      9.84414793307543,
      9.591833650108635,
      9.33827708541053,
      9.085691945954375,
      8.835919397392841,
      8.590419702478638,
      8.350266083618738,
      8.116166538720918,
      7.888501566610395,
      7.6673721983080725,
      7.452653711275913,
      7.244050510150079,
      7.0411485178258975,
      6.843462538403598,
      6.65047717689362,
      6.461680811006271,
      6.2765927527570575,
      6.094784068241051,
      5.915888022904954,
      5.7395983619512,
      5.565674502304109,
      5.393958811859826,
      5.224369757251809,
      5.056890341952401,
      4.891586760796764,
      4.728641048856104,
      4.5683268463587545,
      4.410952936870418,
      4.256853670072621,
      4.106396427936114,
      3.9599679373961796,
      3.817943797404871,
      3.680675387123327,
      3.5484776211774967,
      3.4216190834035056,
      3.3003156411630896,
      3.184726440794949,
      3.07494756995562,
      2.970999364128007,
      2.872830949131541,
      2.780311912797645,
      2.693227002876673,
      2.6113214136547147,
      2.5343405748895806,
      2.4620175612428077,
      2.3940856225574896,
      2.3302777718683165,
      2.270308410716163,
      2.2138315341616175,
      2.160471407874457,
      2.109891732832822,
      2.06176640431479,
      2.015798045441144,
      1.9717326620997961,
      1.929367849096018,
      1.8885323881644174,
      1.8490849794826205,
      1.810909033870829,
      1.7738997523784394,
      1.7379707119282737,
      1.703051948155256,
      1.6690857004022266,
      1.636022474091845,
      1.6038186640549277,
      1.5724351898135915,
      1.5418382608275047,
      1.5120011607540635,
      1.4829002443965544,
      1.4545115859890394,
      1.4268113331668955,
      1.3997758999338232,
      1.3733811151286217,
      1.3476034847403313,
      1.3224210849674352,
      1.2978133165211145,
      1.2737607298248355,
      1.2502448959229762,
      1.2272483084923718,
      1.204754409571157,
      1.1827477288355157,
      1.1612134589214145,
      1.1401376831295609,
      1.119508114449025,
      1.0993129647116953,
      1.0795410365492475,
      1.0601811573022624,
      1.0412222138528682,
      1.0226532876121777,
      1.0044637336449884,
      0.9866432244682821,
      0.9691817696932947,
      0.9520697234999804,
      0.9352977825401765,
      0.9188569783090521,
      0.9027386672877178,
      0.8869345190877713,
      0.8714365044883137,
      0.8562368820368985,
      0.841328185174144,
      0.8267032105090576,
      0.8123550059783924,
      0.798276859239359,
      0.7844622870689989,
      0.7709050248018992,
      0.7575990169192169,
      0.7445384072961386,
      0.7317175307640397,
      0.7191309047099795,
      0.7067732210604272,
      0.6946393387582629,
      0.6827242768882185,
      0.6710232075104031,
      0.6595314494388357,
      0.6482444621664449,
      0.6371578404558047,
      0.626267308330494,
      0.6155687141485978,
      0.6050580162792251,
      0.5947312336169877,
      0.584584492019891,
      0.5746140503396983,
      0.5648162866031914,
      0.5551876877034672,
      0.5457248417470113,
      0.5364249777324646,
      0.5272859079259867,
      0.5183051756265147,
      0.5094801147968213,
      0.5008079547266745,
      0.4922858854860909,
      0.48391109761113477,
      0.47568080742597585,
      0.46759227162055594,
      0.45964279606938657,
      0.45182974037049967,
      0.4441505201280108,
      0.43660260774700876,
      0.4291835319939112,
      0.42189093651276627,
      0.414722800704041,
      0.40767714381047565,
      0.40075190062024196,
      0.39394497094944153,
      0.38725424977981493,
      0.3806776464765019,
      0.3742130958111485,
      0.3678585647356429,
      0.3616120562150807,
      0.3554716330466238,
      0.349435528069934,
      0.34350202013030706,
      0.3376693595549251,
      0.33193579243660126,
      0.32629957602389736,
      0.32075898733745284,
      0.3153123287021937,
      0.3099579330976627,
      0.304694193029138,
      0.2995195393432687,
      0.2944324173239122,
      0.2894312927457387,
      0.2845146552546056,
      0.27968101999874223,
      0.27492892887133397,
      0.270256950686404,
      0.26566368114671773,
      0.261147742519332,
      0.25670766739926865,
      0.25234187213568626,
      0.2480488768053386,
      0.24382730114637605,
      0.23967583680477605,
      0.2355932294544843,
      0.23157826706501225,
      0.22762977208747093,
      0.22374662554462968,
      0.2199280671582304,
      0.21617344674483255,
      0.21248195516337545,
      0.2088526892498009,
      0.20528469294469232,
      0.20177698310479375,
      0.19832856598887944,
      0.19493842876657413,
      0.19160547600395786,
      0.1883286273980366,
      0.18510685801012255,
      0.18193918410505155,
      0.17882465449037946,
      0.1757623444460533,
      0.17275135185383758,
      0.16979079473107184,
      0.16687980940999123,
      0.16401754919107397,
      0.16120318346687093,
      0.1584358971803856,
      0.15571489014610235,
      0.15303937666486897,
      0.15040858492275638,
      0.1478217569428854,
      0.1452781480784619,
      0.14277702700728018,
      0.1403176751784736,
      0.13789938653064127,
      0.13552146750014588,
      0.13318323665876458,
      0.13088402445660594,
      0.12862317286050312,
      0.12640003541477343,
      0.12421397680276952,
      0.12206437274760551,
      0.11995060978767459,
      0.11787208493968515,
      0.11582820584618853,
      0.11381839021840534,
      0.11184206577572564,
      0.10989867005181629,
      0.1079876503786295,
      0.10610846348885059,
      0.10426057542263822,
      0.10244346138876233,
      0.10065660547765287,
      0.09889950072254036,
      0.09717164873855404,
      0.09547255967720963,
      0.09380175196795175,
      0.09215875236810873,
      0.09054309555098818,
      0.08895432420515409,
      0.08739198857895164,
      0.08585564661772324,
      0.0843448639112781,
      0.08285921343606413,
      0.08139827531058312,
      0.07996163663333421,
      0.0785488916347135,
      0.07715964138985199,
      0.07579349375014124,
      0.0744500631459995,
      0.07312897047074088,
      0.07182984299708281,
      0.07055231432629866,
      0.06929602423300596,
      0.0680606186025339,
      0.06684574913558147,
      0.06565107352322885,
      0.06447625519494095,
      0.06332096313543169,
      0.0621848719542079,
      0.06106766185163984,
      0.059969018274969386,
      0.05888863199794806,
      0.0578261987744648,
      0.05678141970114663,
      0.055754000807707906,
      0.054743653034829476,
      0.05375009218573887,
      0.0527730388291987,
      0.05181221827763317,
      0.050867360300020106,
      0.04993819925207379,
      0.04902447398237938,
      0.04812592760244417,
      0.047242307521098724,
      0.04637336542821333,
      0.0455188572025461,
      0.044678542755849766,
      0.04385218600047259,
      0.043039554755679596,
      0.042240420799575754,
      0.04145455969720066,
      0.04068175079273769,
      0.03992177699348203,
      0.03917442503498201,
      0.0384394849780534,
      0.03771675043482785,
      0.037006018521553156,
      0.036307089767881086,
      0.035619767867139246,
      0.03494385997367384,
      0.034279176357734274,
      0.03362553049893906,
      0.03298273900095566,
      0.032350621543853736,
      0.03172900067637093,
      0.031117701956653965,
      0.03051655390721887,
      0.02992538777131918,
      0.0293440377890001,
      0.02877234092483865,
      0.02821013674603098,
      0.027657267469901967,
      0.02711357805950907,
      0.0265789159926174,
      0.026053131410054768,
      0.02553607665019113,
      0.025027606803954678,
      0.024527579262318553,
      0.024035853794657547,
      0.023552292477138508,
      0.02307675978273525,
      0.022609122292567296,
      0.02214924890527624,
      0.021697010667367782,
      0.021252280662593825,
      0.020814934221478273,
      0.020384848814401422,
      0.019961903813915872,
      0.01954598064537938,
      0.019136962691799698,
      0.018734735364727733,
      0.018339185770024302,
      0.017950203079823982,
      0.01756767821910745,
      0.017191503928134396,
      0.016821574781036387,
      0.016457787078133005,
      0.016100038865607753,
      0.015748229854001285,
      0.015402261375020128,
      0.015062036459084539,
      0.01472745965231471,
      0.01439843727871471,
      0.014074877110746446,
      0.013756688497772672,
      0.013443782201417188,
      0.013136070452747225,
      0.012833467053368042,
      0.012535887317433426,
      0.012243247675646479,
      0.011955466193826309,
      0.01167246213050013,
      0.01139415622459872,
      0.011120470409315941,
      0.01085132803391658,
      0.010586653673368848,
      0.01032637303449727,
      0.010070413275509584,
      0.009818702560845534,
      0.009571170409309476,
      0.009327747468406204,
      0.009088365636679006,
      0.008852957688253029,
      0.008621457632580067,
      0.008393800684537808,
      0.008169922914836324,
      0.007949761571582559,
      0.007733255044080784,
      0.007520342684548559,
      0.00731096478010154,
      0.007105062547510044,
      0.0069025783604510955,
      0.006703455580669123,
      0.00650763829114074,
      0.006315071642693255,
      0.006125701715339991,
      0.005939475420957932,
      0.005756340511273693,
      0.005576245690825462,
      0.0053991405874391375,
      0.00522497547183073,
      0.0050537016223392945,
      0.0048852709362396055,
      0.004719636256304661,
      0.00455675114764153,
      0.004396570027115176,
      0.0042390479523720615,
      0.0040841407955992115,
      0.0039318052357160726,
      0.0037819985626963842,
      0.0036346786881114503,
      0.0034898043807245586,
      0.0033473349963705637,
      0.0032072307385222257,
      0.0030694522472599,
      0.0029339609158443064,
      0.00280071873243339,
      0.00266968853855454,
      0.0025408334627932423,
      0.002414117386981824,
      0.002289504804548768,
      0.0021669607826642814,
      0.0020464509651833373,
      0.0019279417049745215,
      0.0018113996964193697,
      0.0016967922836762534,
      0.0015840874405164457,
      0.0014732535299760605,
      0.0013642595112611817,
      0.0012570748049789732,
      0.001151669268501718,
      0.0010480134785593362,
      0.0009460783482510474,
      0.0008458353501923067,
      0.0007472564809138072,
      0.0006503140617073532,
      0.0005549809800206256,
      0.0004612304428159555,
      0.000369036240524669,
      0.000278372485090348,
      0.00018921374375033213,
      0.00010153504716247764,
      1.5311874256360194e-05,
      -6.947996957422278e-05,
      -0.00015286425652766598,
      -0.00023486430275004757,
      -0.0003155031549920255,
      -0.00039480344581354406,
      -0.00047278732350273085,
      -0.0005494766344986067,
      -0.0006248929262896052,
      -0.000699057226598316,
      -0.0007719903679857545,
      -0.0008437128402638398,
      -0.000914244794818254,
      -0.0009836059266317089,
      -0.0010518155513858788,
      -0.0011188929549707247,
      -0.001184856807450472,
      -0.0012497257073168678,
      -0.0013135176499732859,
      -0.0013762505948169996,
      -0.0014379421983329228,
      -0.0014986098518213566,
      -0.001558270406095733,
      -0.0016169405557097444,
      -0.0016746367326688208,
      -0.0017313751774985433,
      -0.0017871717482956292,
      -0.001842042097610115,
      -0.0018960015750195986,
      -0.0019490652361877148,
      -0.002001247934009359,
      -0.0020525644278315404,
      -0.002103029002309296,
      -0.0021526558925726844,
      -0.002201458964752913,
      -0.0022494518404036993,
      -0.0022966481090447243,
      -0.002343060929761954,
      -0.002388703165698311,
      -0.002433587803459711,
      -0.0024777273805397116,
      -0.0025211342320753454,
      -0.0025638205008053265,
      -0.002605798114925025,
      -0.0026470789431121185,
      -0.002687674522790857,
      -0.002727596220169065,
      -0.0027668551730997476,
      -0.002805462417392201,
      -0.002843428764717339,
      -0.002880764908881159,
      -0.0029174812576248112,
      -0.0029535880563839553,
      -0.0029890954601842832,
      -0.0030240134400948923,
      -0.0030583517393480524,
      -0.0030921200136301468,
      -0.0031253277673288157,
      -0.0031579843460176316,
      -0.003190098865119891,
      -0.0032216802649274044,
      -0.003252737390113426,
      -0.0032832789415972747,
      -0.0033133134410388843,
      -0.0033428493403562277,
      -0.003371894946980892,
      -0.003400458367351747,
      -0.003428547614991771,
      -0.0034561706102265726,
      -0.0034833349568424957,
      -0.0035100484109173583,
      -0.0035363184213651755,
      -0.0035621522990396085,
      -0.0035875573155795745,
      -0.0036125406365144826,
      -0.0036371092284698107,
      -0.003661269982028367
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33445287029619,
      10.092631818289433,
      9.84411946009419,
      9.591785333907419,
      9.338205345835641,
      9.085594340791294,
      8.835794501021548,
      8.590266811189354,
      8.350084959737966,
      8.115957250165977,
      7.888264355868042,
      7.667107389921959,
      7.452361644997433,
      7.243731507492882,
      7.040802870449653,
      6.843090517721008,
      6.650079057508282,
      6.461256904533585,
      6.276143448516275,
      6.094309877864282,
      5.915389686725137,
      5.739076927113432,
      5.56513125027606,
      5.393395257093112,
      5.223787566390072,
      5.056291354774319,
      4.89097325964708,
      4.72801622122728,
      4.5676942031486885,
      4.410316010220078,
      4.256215972628272,
      4.10576161879224,
      3.9593396567031434,
      3.8173254797110165,
      3.6800701994130973,
      3.5478884213110873,
      3.421048377065886,
      3.2997655523857685,
      3.1841987148216386,
      3.0744435012339344,
      2.9705196431507126,
      2.872375669193315,
      2.7798804979225706,
      2.6928182769939166,
      2.6109339943549457,
      2.5339729599867677,
      2.4616680360178393,
      2.393752427757543,
      2.3299591593555244,
      2.2700025952452236,
      2.2135361785445467,
      2.1601843134852525,
      2.109610847557113,
      2.061489793897769,
      2.015524126823759,
      1.9714602510122203,
      1.92909606628574,
      1.8882605805656698,
      1.8488126835967633,
      1.810635862396802,
      1.7736253448302661,
      1.737694832224784,
      1.7027743930752555,
      1.6688062496411367,
      1.635740993031116,
      1.6035350751789095,
      1.5721494545591659,
      1.5415506434554709,
      1.5117121295703466,
      1.4826101249019377,
      1.4542206018871582,
      1.4265196406785043,
      1.3994836271328948,
      1.3730883833553846,
      1.3473103800849484,
      1.3221276710544825,
      1.2975196425025766,
      1.2734668356151402,
      1.2499508160996777,
      1.2269540738961702,
      1.2044601618774975,
      1.1824536126083558,
      1.1609195724555288,
      1.1398441095005294,
      1.1192149263979498,
      1.0990202260505966,
      1.0792487985626271,
      1.0598894583766816,
      1.0409310845154278,
      1.0223627536579871,
      1.004173818020266,
      0.9863539476562085,
      0.9688931511985102,
      0.9517817819917728,
      0.9350105359777923,
      0.9185704445581677,
      0.9024528640592548,
      0.8866494641158337,
      0.8711522148278027,
      0.8559533744639264,
      0.8410454767744648,
      0.8264213183885442,
      0.8120739469593842,
      0.7979966501028826,
      0.7841829444267623,
      0.7706265651084528,
      0.7573214566487796,
      0.7442617625225064,
      0.7314418173628922,
      0.7188561384989047,
      0.7064994175709806,
      0.6943665133776439,
      0.682452444507307,
      0.6707523825917203,
      0.6592616461747753,
      0.6479756947292636,
      0.6368901227032004,
      0.6260006536794652,
      0.6153031355146363,
      0.6047935261836302,
      0.5944678442079023,
      0.5843222153130733,
      0.5743528981197197,
      0.5645562704945662,
      0.5549288192077642,
      0.5454671317887586,
      0.5361685185757387,
      0.5270307934386071,
      0.5180514665803719,
      0.5092278507207313,
      0.5005571614859065,
      0.49203658001117867,
      0.48366329149696174,
      0.4754345084452509,
      0.4673474852187015,
      0.4593995260819365,
      0.4515879895254782,
      0.4439102903863593,
      0.4363639004310304,
      0.4289463479844394,
      0.4216552885193904,
      0.41448871721755887,
      0.4074446418476339,
      0.4005209898039421,
      0.3937156561807169,
      0.3870265332019556,
      0.3804515281781451,
      0.37398857444175915,
      0.36763563816283995,
      0.3613907215641468,
      0.35525189202373786,
      0.34921738876863256,
      0.3432854857476201,
      0.3374544300287091,
      0.33172246565871605,
      0.32608784855975215,
      0.3205488549717324,
      0.3151037866866409,
      0.3097509770295439,
      0.30448881933509064,
      0.2993157434596555,
      0.29423019399640526,
      0.28923063618358136,
      0.2843155591405317,
      0.2794834777619121,
      0.2747329338041214,
      0.27006249563922363,
      0.26547075867689907,
      0.2609563451512794,
      0.2565177922716232,
      0.2521535163643074,
      0.24786203575882315,
      0.24364196918071981,
      0.239492007661469,
      0.23541089623519496,
      0.23139742238040792,
      0.22745040844431175,
      0.22356873093723859,
      0.21975162353603445,
      0.21599843969514396,
      0.21230837243312053,
      0.2086805199886588,
      0.2051139271555806,
      0.20160761131292174,
      0.1981605790262753,
      0.19477181526759668,
      0.1914402220388578,
      0.18816472099607465,
      0.18494428834492385,
      0.18177794119274615,
      0.17866472871202388,
      0.17560372652858472,
      0.17259403276259067,
      0.1696347656645235,
      0.16672506140600513,
      0.16386407333683112,
      0.1610509709998278,
      0.158284939245835,
      0.15556517781461834,
      0.15289090086616353,
      0.15026133670283637,
      0.14767572735208823,
      0.14513332810371074,
      0.14263340749713488,
      0.1401752471362428,
      0.13775814108304063,
      0.13538139571349941,
      0.1330443294371163,
      0.13074627264896754,
      0.12848656743732625,
      0.12626456728193952,
      0.12407963696490647,
      0.1219311521213657,
      0.11981849924359289,
      0.11774107547716733,
      0.11569828831679926,
      0.11368955553832866,
      0.11171430493469937,
      0.10977197406463692,
      0.1078620101985665,
      0.10598387013661073,
      0.10413701992473987,
      0.10232093475372636,
      0.10053509870390782,
      0.09877900481836202,
      0.09705215483780173,
      0.09535405886889367,
      0.0936842353481838,
      0.09204221102789507,
      0.09042752069163672,
      0.08883970694188459,
      0.08727832018625975,
      0.08574291851121273,
      0.08423306735308532,
      0.0827483398090512,
      0.08128831595062068,
      0.07985258303359627,
      0.07844073525584216,
      0.07705237377539381,
      0.07568710635259424,
      0.074344547512052,
      0.07302431819430608,
      0.07172604566004451,
      0.07044936364882111,
      0.06919391192844072,
      0.06795933640092285,
      0.0667452889025743,
      0.06555142715980779,
      0.06437741452462303,
      0.06322292024926013,
      0.06208761896480089,
      0.06097119076836428,
      0.05987332112998955,
      0.058793700816102044,
      0.0577320258359763,
      0.056687997302498044,
      0.055661321283539594,
      0.054651708770400355,
      0.05365887554360797,
      0.052682542263450205,
      0.05172243425753246,
      0.050778281389412296,
      0.049849818068552584,
      0.04893678311510656,
      0.04803891974279831,
      0.047155975536625344,
      0.04628770222091379,
      0.045433855630887664,
      0.04459419577925141,
      0.043768486594947496,
      0.04295649596018251,
      0.04215799569879751,
      0.04137276154135185,
      0.040600572726751764,
      0.03984121232322986,
      0.03909446698824489,
      0.03836012693317471,
      0.03763798586956061,
      0.03692784088619639,
      0.03622949258071111,
      0.03554274475968768,
      0.034867404627752396,
      0.03420328248740634,
      0.033550191870752505,
      0.03290794923803966,
      0.032276374368400355,
      0.03165529001263939,
      0.03104452177379183,
      0.030443898132113775,
      0.029853250513304553,
      0.029272413049794027,
      0.028701222797865723,
      0.02813951950163304,
      0.027587145444027586,
      0.02704394556163437,
      0.02650976743017682,
      0.02598446112013384,
      0.025467879272104466,
      0.024959876870241843,
      0.02446031133648969,
      0.023969042462749623,
      0.02348593253022664,
      0.023010845897563366,
      0.02254364934181166,
      0.022084211625644477,
      0.021632403950822148,
      0.021188099581036415,
      0.02075117380385491,
      0.020321504002031282,
      0.019898969682300902,
      0.01948345232787537,
      0.019074835373204452,
      0.018673004128963302,
      0.018277845943568606,
      0.017889250009810693,
      0.017507107242456327,
      0.017131310505957613,
      0.01676175443016962,
      0.016398335232591904,
      0.016040951043316026,
      0.01568950160733335,
      0.015343888400712751,
      0.015004014524170689,
      0.014669784615785261,
      0.014341104973333246,
      0.014017883295248003,
      0.013700028935609747,
      0.013387452733086986,
      0.013080067138602608,
      0.012777785922862607,
      0.012480524264402632,
      0.012188198830390594,
      0.011900727678869398,
      0.01161803015362282,
      0.011340027013241313,
      0.011066640226622225,
      0.010797793146602093,
      0.010533410355420329,
      0.010273417794393423,
      0.010017742549683442,
      0.0097663129162378,
      0.009519058338953366,
      0.009275909530455616,
      0.009036798294471678,
      0.008801657614693936,
      0.008570421448871279,
      0.008343025048882199,
      0.008119404553717596,
      0.007899497311578567,
      0.00768324165294297,
      0.007470576998480519,
      0.0072614436788360935,
      0.007055783069249705,
      0.006853537461183357,
      0.0066546501794520615,
      0.006459065436201764,
      0.006266728410945067,
      0.006077585143308842,
      0.005891582595189054,
      0.005708668531289176,
      0.005528791791510875,
      0.005351901950067445,
      0.005177949359228534,
      0.005006885304454117,
      0.004838661832293863,
      0.0046732316765219165,
      0.00451054846719306,
      0.0043505665739545065,
      0.00419324118136258,
      0.004038528183049705,
      0.0038863841740001824,
      0.0037367665218456247,
      0.003589633244031808,
      0.003444943040292657,
      0.0033026553977427947,
      0.0031627304698318023,
      0.003025128977250062,
      0.00288981228918059,
      0.0027567425515829906,
      0.002625882442999293,
      0.0024971952763519936,
      0.0023706449565327626,
      0.0022461959914780692,
      0.0021238135691243752,
      0.002003463369813387,
      0.001885111514272639,
      0.0017687247678198534,
      0.0016542706006001829,
      0.001541717002694418,
      0.001431032358539769,
      0.0013221855963052244,
      0.0012151462948457826,
      0.0011098843671899293,
      0.0010063702348369961,
      0.0009045749154539431,
      0.0008044698834872112,
      0.0007060271046214262,
      0.0006092188873480218,
      0.0005140181370523994,
      0.0004203982304704371,
      0.0003283327965922388,
      0.00023779608402494485,
      0.00014876275161953677,
      6.12077562126032e-05,
      -2.48933383425994e-05,
      -0.00010956465445952643,
      -0.00019282997472296266,
      -0.0002747127524344164,
      -0.0003552359237850139,
      -0.00043442192169076906,
      -0.000512293075535973,
      -0.000588871196169646,
      -0.0006641777507336548,
      -0.0007382337942799671,
      -0.0008110600840623562,
      -0.0008826771739372798,
      -0.0009531050878319376,
      -0.0010223635638402938,
      -0.0010904720489131328,
      -0.0011574495971816176,
      -0.001223315002013943,
      -0.001288086723425369,
      -0.001351782947833642,
      -0.0014144214878155825,
      -0.0014760198456062496,
      -0.0015365952880227805,
      -0.0015961648890932395,
      -0.0016547454061779897,
      -0.0017123531737052564,
      -0.0017690044221405265,
      -0.001824715004448131,
      -0.0018795005218702554,
      -0.0019333763725172736,
      -0.001986357582691214,
      -0.0020384589996992643,
      -0.002089695324540375,
      -0.002140080870562427,
      -0.0021896297789730595,
      -0.0022383558068826462,
      -0.0022862726868389054,
      -0.002333393977089508,
      -0.0023797328540442688,
      -0.0024253023358412193,
      -0.002470115174249422,
      -0.0025141839557819554,
      -0.0025575209983102936,
      -0.002600138399615639,
      -0.002642048173655229,
      -0.002683262037220638,
      -0.002723791582909725,
      -0.002763648083112871,
      -0.0028028427822597937,
      -0.002841386629215901,
      -0.0028792904414083977,
      -0.002916564838651706,
      -0.0029532203171408625,
      -0.002989267131390501,
      -0.0030247152898991926,
      -0.0030595748554751957,
      -0.003093855660120792,
      -0.0031275673119743144,
      -0.003160719207506503,
      -0.0031933206511458668,
      -0.0032253807263440764,
      -0.0032569084266987525,
      -0.003287912615053757,
      -0.0033184019499560282,
      -0.0033483850532865346,
      -0.0033778703470735876,
      -0.003406865971765831,
      -0.003435380161985172,
      -0.0034634208524451726,
      -0.00349099591924266,
      -0.003518113045079284,
      -0.003544779864236045,
      -0.0035710039349910487,
      -0.0035967926042800038,
      -0.0036221531189478445,
      -0.0036470924696992402,
      -0.003671617654151348,
      -0.0036957355705791116
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334448593089785,
      10.092618157444718,
      9.844091044159018,
      9.591737116481557,
      9.338133743308918,
      9.085496906258319,
      8.83566980461259,
      8.590114147572647,
      8.349904091466987,
      8.115748246378214,
      7.888027458345233,
      7.666842919134232,
      7.452069939530752,
      7.243412886946463,
      7.0404576265333265,
      6.842718921659372,
      6.649681384036897,
      6.460833466015357,
      6.275694635797779,
      6.093836202728269,
      5.91489188951508,
      5.738556058057572,
      5.564588593492382,
      5.392832328886124,
      5.223206035198861,
      5.055693062693258,
      4.890360488814455,
      4.727392158544635,
      4.5670623598621605,
      4.409679916919004,
      4.255579139651022,
      4.105127701505277,
      3.9587122906940544,
      3.8167080945434817,
      3.6794659579203906,
      3.547300177484829,
      3.420478633892702,
      3.2992164298109117,
      3.1836719544374823,
      3.073940393756465,
      2.970040874943599,
      2.871921331041981,
      2.7794500120606624,
      2.6924104650087632,
      2.6105474733259837,
      2.533606228612688,
      2.461319380297496,
      2.3934200890192394,
      2.329641390491877,
      2.2696975928920584,
      2.213241592077214,
      2.159897956032673,
      2.109330676215204,
      2.0612138821422037,
      2.015250897069813,
      1.9711885239697526,
      1.9288249671851732,
      1.8879894588930677,
      1.8485410782475393,
      1.810363387386739,
      1.7733516401647167,
      1.7374196628091456,
      1.7024975562031106,
      1.6685275264742845,
      1.635460248876174,
      1.6032522326843452,
      1.5718644762264369,
      1.5412637933745175,
      1.5114238755573477,
      1.4823207930744107,
      1.4539304164524114,
      1.4262287578418904,
      1.3991921752483125,
      1.3727964833725563,
      1.3470181182028789,
      1.3218351109978004,
      1.297226833056748,
      1.2731738167259399,
      1.2496576221632332,
      1.2266607671475513,
      1.2041668963974879,
      1.1821605150521133,
      1.1606267307206786,
      1.1395516047326466,
      1.1189228236779358,
      1.098728584540784,
      1.0789576672380756,
      1.0595988746328124,
      1.0406410781345887,
      1.0220733494768919,
      1.0038850379624347,
      0.9860658120306846,
      0.9686056792661334,
      0.9514949921067979,
      0.9347244459143358,
      0.9182850716158792,
      0.9021682257124144,
      0.8863655778324139,
      0.8708690979244812,
      0.8556710444040342,
      0.8407639507395573,
      0.8261406131401675,
      0.8117940791441369,
      0.7977176366451454,
      0.7839048022221919,
      0.7703493108827608,
      0.7570451065746284,
      0.7439863330183702,
      0.7311673245580108,
      0.7185825977874114,
      0.7062268442214943,
      0.6940949223934372,
      0.682181850754726,
      0.6704828008931253,
      0.6589930911110172,
      0.6477081806096006,
      0.6366236632449593,
      0.6257352622620256,
      0.6150388253472041,
      0.6045303098784042,
      0.5942057334187726,
      0.5840612217626248,
      0.5740930336006074,
      0.5642975463288639,
      0.5546712463587924,
      0.5452107213463863,
      0.5359133624765524,
      0.5267769856187315,
      0.5177990673085145,
      0.5089768992634726,
      0.500307683812188,
      0.49178859321565715,
      0.4834168068136066,
      0.475189533675336,
      0.4671040257160038,
      0.4591575855709576,
      0.45134757070478576,
      0.4436713950642962,
      0.4361265299077533,
      0.4287105032485706,
      0.42142098221259827,
      0.4142559776882666,
      0.40721348576719246,
      0.40029142688132013,
      0.39348769137619327,
      0.3868001683347679,
      0.38022676326422994,
      0.3737654083337142,
      0.36741406857127057,
      0.3611707457071682,
      0.35503351172092457,
      0.3490006120439663,
      0.3430703154179072,
      0.3372408657333867,
      0.33151050536418286,
      0.3258774888204518,
      0.32034009134896,
      0.3148966140836727,
      0.309545391077333,
      0.3042848166470759,
      0.29911331941814173,
      0.29402934307690115,
      0.28903135243850653,
      0.2841178362846326,
      0.2792873092161379,
      0.2745383125323532,
      0.26986941474442794,
      0.26527921120739156,
      0.2607663238662932,
      0.2563292941618884,
      0.25196653881553793,
      0.2476765743450635,
      0.24345801818301085,
      0.23930956059277558,
      0.2352299460683662,
      0.23121796192535218,
      0.22727243013753032,
      0.2233922227129877,
      0.21957656715330354,
      0.2158248205595201,
      0.21213617824506498,
      0.20850973992244945,
      0.2049445511698988,
      0.20143962973047982,
      0.1979939825462994,
      0.19460659271535627,
      0.19127635943957466,
      0.18800220626378808,
      0.18478311073409598,
      0.18161809067835474,
      0.1785061958298788,
      0.1754465020896081,
      0.17243810776485835,
      0.16948013105206886,
      0.16657170836805352,
      0.1637119930723911,
      0.16090015453308693,
      0.15813537769155975,
      0.15541686226165874,
      0.1527438224004474,
      0.15011548642952774,
      0.14753109632833666,
      0.14498990748736368,
      0.14249118835132626,
      0.14003422031613222,
      0.1376182974012354,
      0.1352427259517977,
      0.1329068245236745,
      0.13060992353000167,
      0.1283513649994736,
      0.12613050238850404,
      0.12394670044062715,
      0.12179933494704354,
      0.11968779232448148,
      0.11761146966513672,
      0.11556977461038312,
      0.11356212489485439,
      0.11158794826637092,
      0.10964668232357266,
      0.10773777435965143,
      0.10586068114218238,
      0.10401486867339875,
      0.10219981221601437,
      0.10041499601875808,
      0.09865991306612588,
      0.09693406502855863,
      0.09523696208949481,
      0.09356812283321123,
      0.09192707393849898,
      0.09031335008438617,
      0.08872649400459066,
      0.08716605624189157,
      0.0856315948342088,
      0.08412267531980905,
      0.08263887055509585,
      0.08117976083542143,
      0.07974493352302753,
      0.07833398288846202,
      0.07694650997900639,
      0.07558212261680435,
      0.07424043531567337,
      0.07292106916511987,
      0.07162365149297592,
      0.0703478159419937,
      0.06909320247027852,
      0.06785945699018874,
      0.0666462314199062,
      0.06545318349626832,
      0.06427997671368836,
      0.06312628013804049,
      0.06199176843489884,
      0.06087612183598184,
      0.05977902593178605,
      0.058700171649669466,
      0.057639254968698005,
      0.05659597684067602,
      0.055570043377928924,
      0.05456116581233011,
      0.053569060034358365,
      0.05259344667770919,
      0.05163405106258543,
      0.05069060316928434,
      0.04976283733035992,
      0.04885049245757753,
      0.047953311891956375,
      0.04707104327646765,
      0.04620343839774828,
      0.0453502531831681,
      0.04451124761819023,
      0.043686185723898124,
      0.04287483549227533,
      0.04207696869366737,
      0.0412923610963599,
      0.040520791972419826,
      0.039762044492473794,
      0.03901590532973239,
      0.0382821647744935,
      0.037560616553291966,
      0.036851057903304105,
      0.036153289405467255,
      0.0354671150660507,
      0.03479234199786583,
      0.03412878055857702,
      0.03347624441896112,
      0.032834550236533915,
      0.03220351770342724,
      0.03158296952354734,
      0.03097273138805099,
      0.03037263192461822,
      0.029782502511488673,
      0.029202177515984577,
      0.02863149380610982,
      0.02807029116921925,
      0.027518412061143332,
      0.026975701467482602,
      0.026442007003747586,
      0.025917178860061597,
      0.02540106966060786,
      0.024893534345522828,
      0.02439443041099675,
      0.02390361782897565,
      0.023420958772854317,
      0.022946317688622743,
      0.02247956142623846,
      0.022020559023608607,
      0.021569181524690114,
      0.02112530215538454,
      0.02068879632328821,
      0.020259541600556066,
      0.019837417492542014,
      0.01942230552572855,
      0.019014089171747395,
      0.018612653791560827,
      0.018217886778072272,
      0.01782967729935684,
      0.017447916335169095,
      0.017072496688751517,
      0.016703313196462358,
      0.016340262264607417,
      0.01598324193456251,
      0.01563215195977727,
      0.01528689384577628,
      0.014947370712052738,
      0.01461348726833172,
      0.014285149746525793,
      0.0139622660674271,
      0.013644745594176746,
      0.013332499260238351,
      0.013025439487455014,
      0.012723480122511998,
      0.012426536353382983,
      0.012134524879437383,
      0.011847363864597343,
      0.01156497261628068,
      0.011287272013375182,
      0.011014184085883005,
      0.010745632163210173,
      0.010481540859914283,
      0.01022183607790058,
      0.009966445040230682,
      0.009715296069302678,
      0.00946831864904747,
      0.009225443466432804,
      0.008986602400412401,
      0.00875172841976213,
      0.008520755701985025,
      0.008293619413100375,
      0.008070255835117867,
      0.007850602262109695,
      0.007634597078747138,
      0.007422179709132253,
      0.007213290570216406,
      0.007007871028685017,
      0.006805863488764073,
      0.006607211223726109,
      0.006411858515781969,
      0.006219750608953467,
      0.006030833500799871,
      0.005845054252131272,
      0.005662360708943151,
      0.005482701756170758,
      0.005306026868560821,
      0.005132286402538184,
      0.004961431719229362,
      0.004793414917343101,
      0.00462818875309541,
      0.004465706849386685,
      0.004305923704496738,
      0.004148794557912525,
      0.003994275291224253,
      0.0038423225410378747,
      0.003692893668816392,
      0.0035459467397267103,
      0.003401440580673646,
      0.0032593345805595974,
      0.0031195889189330386,
      0.0029821643904403955,
      0.0028470223974416133,
      0.0027141250846882403,
      0.0025834350887830623,
      0.00245491577972098,
      0.0023285311361995226,
      0.0022042456485846765,
      0.0020820244468384534,
      0.001961833278108092,
      0.001843638499386013,
      0.0017274068818798922,
      0.0016131058114697433,
      0.0015007032050314204,
      0.001390167499066977,
      0.0012814677294250613,
      0.0011745733903501144,
      0.0010694545313312202,
      0.0009660816077167535,
      0.0008644256826251316,
      0.0007644582561932373,
      0.000666151268039029,
      0.0005694770954839431,
      0.00047440861040557646,
      0.00038091909803628435,
      0.00028898243222955317,
      0.0001985728708221513,
      0.00010966501210007275,
      2.2233892150161935e-05,
      -6.3745081427673e-05,
      -0.0001482960159377531,
      -0.00023144259655823586,
      -0.00031320815392430997,
      -0.00039361559032097845,
      -0.0004726875648466963,
      -0.0005504462008875397,
      -0.0006269132937531111,
      -0.0007021103326892666,
      -0.0007760584134588123,
      -0.0008487782893499613,
      -0.0009202903317810875,
      -0.0009906145848281621,
      -0.0010597707994188402,
      -0.00112777833904472,
      -0.0011946562941418906,
      -0.001260423493227156,
      -0.0013250983733234458,
      -0.0013886990269113845,
      -0.0014512433430082328,
      -0.0015127487718518615,
      -0.0015732326354301128,
      -0.0016327118262379086,
      -0.0016912030963859989,
      -0.0017487228117785561,
      -0.0018052871497167991,
      -0.0018609119844949407,
      -0.0019156129688059473,
      -0.0019694053723304274,
      -0.002022304320137146,
      -0.002074324641750128,
      -0.0021254809805837374,
      -0.002175787615985373,
      -0.0022252586717869476,
      -0.0022739080066269523,
      -0.0023217492936169646,
      -0.0023687959278099586,
      -0.002415061148772424,
      -0.0024605579716136506,
      -0.0025052991745708776,
      -0.002549297272805338,
      -0.0025925645102600372,
      -0.002635113034965112,
      -0.002676954838622987,
      -0.002718101612792986,
      -0.0027585649603147767,
      -0.0027983563198090413,
      -0.0028374867244235435,
      -0.002875967182422892,
      -0.0029138084339726767,
      -0.0029510210887155833,
      -0.0029876157120991747,
      -0.0030236025995432243,
      -0.003058991810548941,
      -0.003093793189139312,
      -0.0031280164980567243,
      -0.0031616713167987244,
      -0.00319476713672198,
      -0.0032273132329558012,
      -0.0032593188024229278,
      -0.0032907928664904934,
      -0.0033217441218488034,
      -0.0033521812800158205,
      -0.003382112955321193,
      -0.0034115474632040246,
      -0.0034404930501086223,
      -0.003468957970402785,
      -0.0034969501498937393,
      -0.0035244773377196073,
      -0.0035515473085158547,
      -0.003578167683151898,
      -0.003604345907651768,
      -0.0036300893269268905,
      -0.003655405162867304,
      -0.003680300548899994,
      -0.003704782437157762,
      -0.003728857772198299
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334444321172098,
      10.092604515501804,
      9.84406286825206,
      9.591689500386304,
      9.338063046110541,
      9.085400631441077,
      8.835546475822213,
      8.589963015434604,
      8.349724883599643,
      8.115541000407777,
      7.887792394998198,
      7.666580343217263,
      7.4517801753831145,
      7.243096242921863,
      7.040114384995985,
      6.842349349211242,
      6.6492857531898135,
      6.460412088439235,
      6.275247899880784,
      6.093364621268618,
      5.91439620339004,
      5.738037317974631,
      5.564048084786836,
      5.3922715681833,
      5.222626689913171,
      5.0550969732341535,
      4.889749935840701,
      4.726770324408067,
      4.566432747591701,
      4.409046051277222,
      4.254944523883612,
      4.104495984503584,
      3.958087101063967,
      3.8160928550043542,
      3.6788638235444684,
      3.5467139951976514,
      3.419910898985277,
      3.2986692552210135,
      3.1831470764417475,
      3.0734390985971993,
      2.969563846307781,
      2.8714686582851727,
      2.779021118180389,
      2.6920041739900227,
      2.610162405337676,
      2.5332408507184367,
      2.4609720099629113,
      2.3930889905753228,
      2.3293248180939123,
      2.269393776939245,
      2.212948200986394,
      2.159612793097216,
      2.109051692465442,
      2.060939147217947,
      2.0149788328425835,
      1.9709179505718268,
      1.9285550088845362,
      1.8877194653210607,
      1.8482705878662489,
      1.8100920151756215,
      1.7730790279221709,
      1.73714557627455,
      1.7022218169007897,
      1.6682499247765907,
      1.6351806397964255,
      1.6029705325283645,
      1.5715806428668846,
      1.540978088544416,
      1.5111367657140953,
      1.482032602649855,
      1.4536413684518361,
      1.4259390081043484,
      1.398901851881166,
      1.3725057073473639,
      1.3467269756999645,
      1.3215436656784336,
      1.2969351346122695,
      1.2728819054992087,
      1.2493655327407112,
      1.226368589262143,
      1.2038747959409999,
      1.181868604032436,
      1.16033508729819,
      1.1392603035833677,
      1.118631926822481,
      1.0984381487361154,
      1.0786677395505917,
      1.0593094909880332,
      1.0403522677875023,
      1.0217851373703257,
      1.0035974458408194,
      0.9857788599897012,
      0.9683193862655317,
      0.9512093768713251,
      0.9344395266989154,
      0.9180008665647817,
      0.9018847524386878,
      0.8860828536426609,
      0.8705871402311873,
      0.8553898706143633,
      0.8404835779265015,
      0.8258610586147045,
      0.8115153603014224,
      0.7974397701873226,
      0.7836278046131758,
      0.7700731985348377,
      0.7567698958186577,
      0.7437120398586988,
      0.7308939648468882,
      0.7183101874637262,
      0.7059553988772931,
      0.6938244571337869,
      0.6819123804782852,
      0.6702143402813012,
      0.6587256544288573,
      0.6474417818263132,
      0.6363583161186418,
      0.62547098051633,
      0.6147756223806438,
      0.6042681984644525,
      0.5939447255477225,
      0.5838013292105656,
      0.5738342681078318,
      0.5640399195419572,
      0.5544147695609125,
      0.5449554453100919,
      0.5356593961190417,
      0.5265244007128254,
      0.517547910364709,
      0.5087272005613952,
      0.5000594631666778,
      0.49154186397167604,
      0.48317157826130835,
      0.474945812249325,
      0.466861815949489,
      0.45891689085979703,
      0.4511083933742833,
      0.44343373688506554,
      0.43589039224749,
      0.42847588696272937,
      0.42118790424067876,
      0.4140244645581774,
      0.4069835533331242,
      0.40006308406657587,
      0.39326094271437095,
      0.38657501575320624,
      0.38000320648024466,
      0.37354344584937477,
      0.36719369825254183,
      0.3609519645683014,
      0.35481632131004914,
      0.34878502024783486,
      0.34285632536747485,
      0.3370284775797379,
      0.33129971705933337,
      0.32566829692530136,
      0.3201324914510484,
      0.3146906013360648,
      0.3093409610378219,
      0.3040819657866166,
      0.2989120432244634,
      0.2938296363280967,
      0.2888332091533782,
      0.28392125012562525,
      0.2790922735322334,
      0.2743448204628124,
      0.2696774592937901,
      0.2650887852036344,
      0.2605774200817746,
      0.2561419100242707,
      0.2517806718985458,
      0.2474922202767158,
      0.24327517132960366,
      0.2391282145077732,
      0.2350500938346673,
      0.23103959612554337,
      0.22709554320261885,
      0.22321680253835569,
      0.2194025955909601,
      0.21565228312557547,
      0.2119650626156775,
      0.20834003509975602,
      0.20477624707156886,
      0.20127271680720485,
      0.19782845165475288,
      0.19444243286820023,
      0.19111355666395183,
      0.18784074867126413,
      0.1846229875912146,
      0.18145929202885136,
      0.1783487122585093,
      0.17529032431579453,
      0.17228322667482893,
      0.16932653773739845,
      0.1664193939352337,
      0.16356094854089023,
      0.16075037104399897,
      0.1579868463728171,
      0.15526957427057386,
      0.15259776886384818,
      0.14997065843481897,
      0.14738748487508127,
      0.1448475034251082,
      0.14234998274968955,
      0.1398942042112083,
      0.13747946177705087,
      0.13510506180434598,
      0.13277032278375087,
      0.1304745750175968,
      0.1282171606509262,
      0.12599743324208226,
      0.12381475743762327,
      0.12166850892932586,
      0.1195580741966501,
      0.11748285042970262,
      0.11544224514169538,
      0.11343567606904674,
      0.11146257102086073,
      0.10952236769729652,
      0.10761451332365604,
      0.10573846463342304,
      0.1038936877677995,
      0.10207965800292933,
      0.10029585955209187,
      0.09854178543545056,
      0.09681693722670237,
      0.09512082523603346,
      0.09345296800367028,
      0.09181289229856605,
      0.09020013292912792,
      0.08861423247948644,
      0.08705474148970187,
      0.08552121814184113,
      0.08401322807747691,
      0.0825303443052263,
      0.08107214691445952,
      0.07963822326591069,
      0.07822816765750899,
      0.07684158127889738,
      0.07547807202536089,
      0.07413725458378904,
      0.07281874988745478,
      0.07152218533490314,
      0.07024719464374791,
      0.06899341778479844,
      0.06776050069067394,
      0.0665480952312194,
      0.06535585919776186,
      0.06418345618807686,
      0.06303055531894373,
      0.061896831403968865,
      0.06078196472619107,
      0.0596856408854181,
      0.05860755070931876,
      0.057547390336606774,
      0.056504860855763214,
      0.05547966848390139,
      0.05447152426804738,
      0.05348014420910187,
      0.05250524906982662,
      0.05154656423291036,
      0.050603819646179035,
      0.04967674983243985,
      0.04876509372933062,
      0.04786859471094509,
      0.046987000368598285,
      0.04612006251122709,
      0.04526753712113689,
      0.04442918430353835,
      0.043604768200624436,
      0.04279405677169694,
      0.04199682181348483,
      0.04121283917641375,
      0.04044188828067974,
      0.03968375227906376,
      0.03893821795701768,
      0.03820507560855543,
      0.037484119065609174,
      0.036775145594777764,
      0.03607795585127071,
      0.035392353750904236,
      0.03471814652625689,
      0.03405514472531988,
      0.0334031620389605,
      0.03276201508256005,
      0.03213152361590655,
      0.0315115103481862,
      0.030901801155704556,
      0.030302224662632153,
      0.029712612284210634,
      0.02913279837634941,
      0.028562619950519286,
      0.0280019168196725,
      0.027450531506430245,
      0.02690830910455841,
      0.026375097175903525,
      0.02585074588597045,
      0.025335107920326463,
      0.024828038481197186,
      0.0243293951278427,
      0.02383903774754918,
      0.023356828630664905,
      0.022882632338835474,
      0.02241631562027247,
      0.021957747492484695,
      0.021506799143041513,
      0.021063343972213548,
      0.02062725735836369,
      0.020198416793018707,
      0.019776701910331027,
      0.019361994288917894,
      0.01895417742711092,
      0.018553136700030226,
      0.018158759610352182,
      0.017770935423756646,
      0.017389555314059148,
      0.017014512089363,
      0.01664570042741269,
      0.016283016723320668,
      0.01592635914815571,
      0.015575627555028318,
      0.015230723525617267,
      0.014891550155942672,
      0.014558012268140021,
      0.014230016240962592,
      0.013907469890770475,
      0.013590282618989199,
      0.01327836536855316,
      0.012971630630871998,
      0.012669992287396426,
      0.01237336567234981,
      0.012081667489013334,
      0.011794815807251596,
      0.011512730073159528,
      0.01123533111664373,
      0.010962541050721867,
      0.01069428326763861,
      0.010430482461047165,
      0.010171064622997043,
      0.009915957014750301,
      0.009665087951338924,
      0.009418386946476323,
      0.009175784722215325,
      0.008937213255312463,
      0.008702605573925661,
      0.00847189581276737,
      0.008245019152115469,
      0.008021911951404849,
      0.0078025115312926226,
      0.007586756290353716,
      0.007374585762209437,
      0.0071659403338068355,
      0.006960761386846889,
      0.006758991366671418,
      0.006560573594494274,
      0.0063654524204125795,
      0.006173573087710391,
      0.005984881670528772,
      0.005799325231185243,
      0.005616851739755566,
      0.005437409939756905,
      0.005260949414063826,
      0.005087420686241227,
      0.00491677499441829,
      0.004748964341485727,
      0.004583941625001655,
      0.0044216606939128855,
      0.004262075868430298,
      0.00410514242878605,
      0.003950816305914944,
      0.003799054252234245,
      0.003649813684323016,
      0.0035030525413652235,
      0.003358729667144065,
      0.0032168046675754695,
      0.003077237662888466,
      0.0029399894304115133,
      0.002805021377482509,
      0.0026722957083805303,
      0.002541775167394805,
      0.0024134230899284363,
      0.0022872034941157754,
      0.00216308102218948,
      0.0020410208143207043,
      0.0019209885053738033,
      0.001802950369883833,
      0.0016868732915351296,
      0.0015727247857450885,
      0.0014604727640310233,
      0.001350085668878517,
      0.0012415325723339268,
      0.0011347830229728431,
      0.0010298070090191689,
      0.0009265750630552804,
      0.000825058184636963,
      0.0007252280000698619,
      0.0006270563579793458,
      0.0005305157726398239,
      0.00043557915689920745,
      0.00034221972848089534,
      0.00025041133766448434,
      0.00016012825613917942,
      7.134517156276997e-05,
      -1.5962784513947885e-05,
      -0.00010182012802489507,
      -0.000186251035910004,
      -0.000269279167405023,
      -0.0003509278206138428,
      -0.0004312200049303881,
      -0.0005101782768965052,
      -0.000587824733357255,
      -0.0006641811871701254,
      -0.0007392690939463085,
      -0.0008131094708365467,
      -0.0008857229790888069,
      -0.0009571300686958258,
      -0.00102735080419527,
      -0.0010964049053437102,
      -0.0011643117864184268,
      -0.001231090447988411,
      -0.0012967596404376777,
      -0.0013613378039804957,
      -0.001424843064925205,
      -0.0014872931666762325,
      -0.0015487056476896877,
      -0.001609097789305934,
      -0.001668486601046595,
      -0.0017268887156144485,
      -0.0017843205560235584,
      -0.0018407982153628702,
      -0.001896337558369393,
      -0.0019509541627057059,
      -0.0020046633867165987,
      -0.00205748026422868,
      -0.002109419557065634,
      -0.002160495940328431,
      -0.0022107237355195914,
      -0.002260117036951596,
      -0.002308689703412024,
      -0.0023564553550354072,
      -0.0024034274842740753,
      -0.002449619248137375,
      -0.0024950435958752816,
      -0.0025397133583567426,
      -0.0025836409037857822,
      -0.002626838650808964,
      -0.00266931869724855,
      -0.0027110929504211307,
      -0.002752173180266632,
      -0.0027925708936382006,
      -0.002832297341454466,
      -0.0028713637410173517,
      -0.0029097811036112075,
      -0.00294756030965842,
      -0.002984711954312972,
      -0.0030212463505992467,
      -0.0030571737293201965,
      -0.0030925040817640055,
      -0.003127247555265181,
      -0.00316141381224094,
      -0.003195012392830545,
      -0.003228052752008306,
      -0.003260544188895208,
      -0.003292495711258496,
      -0.0033239163572323653,
      -0.003354814976411606,
      -0.0033852002517674173,
      -0.003415080784684985,
      -0.003444464925163877,
      -0.0034733608236887635,
      -0.0035017766541134516,
      -0.003529720321107676,
      -0.003557199739719079,
      -0.0035842224652270884,
      -0.0036107962701264307,
      -0.0036369285892587284,
      -0.0036626268035781866,
      -0.0036878980402401153,
      -0.003712749403832369,
      -0.003737187845479509,
      -0.0037612202662890147
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33444005169477,
      10.092590881688718,
      9.844034712646375,
      9.59164192023794,
      9.337992399210895,
      9.085304421420505,
      8.835423225200257,
      8.58981197582055,
      8.34954578088111,
      8.115333872236453,
      7.887557462074869,
      7.666317910065846,
      7.451490566234368,
      7.242779768406706,
      7.039771328633314,
      6.841979976263039,
      6.648890336422543,
      6.4599909384608525,
      6.274801404868587,
      6.09289329359779,
      5.9139007843673905,
      5.737518858410276,
      5.56350786845028,
      5.391711111687468,
      5.2220476612584035,
      5.054501212546058,
      4.88913972328089,
      4.726148843590381,
      4.565803492191425,
      4.40841254748834,
      4.254310276027252,
      4.1038646404169405,
      3.9574622884780717,
      3.815477995827113,
      3.678262070983596,
      3.5461281934871756,
      3.4193435408494848,
      3.298122451511705,
      3.1826225617794797,
      3.07293815723884,
      2.9690871593729002,
      2.8710163131507356,
      2.778592537104935,
      2.6915981804726434,
      2.609777619233106,
      2.532875724375017,
      2.460624886105615,
      2.3927581533443893,
      2.3290085164826553,
      2.2690902399127606,
      2.21265509732948,
      2.1593279216889063,
      2.10877300463676,
      2.0606647134419753,
      2.014707074364381,
      1.9706476878395538,
      1.9282853670291429,
      1.8874497943397037,
      1.8480004271571158,
      1.8098209800290757,
      1.772806759186941,
      1.7368718397950291,
      1.701946463794311,
      1.6679727628231986,
      1.6349015079783946,
      1.6026893360450418,
      1.5712974036600524,
      1.5406930969735078,
      1.5108504469050372,
      1.4817452535340527,
      1.453353194201721,
      1.4256501522753362,
      1.3986124343693245,
      1.3722158441173726,
      1.3464367493458034,
      1.3212531377427954,
      1.296644352961551,
      1.2725909097551955,
      1.2490743568523228,
      1.2260773757253,
      1.2035836892224736,
      1.1815777030354133,
      1.1600444617633292,
      1.1389700230153066,
      1.118342049681114,
      1.098148729719432,
      1.0783788242956087,
      1.059021115125589,
      1.0400644600355118,
      1.0214979220405223,
      1.0033108451190444,
      0.9854928945684116,
      0.9680340754478444,
      0.9509247389111203,
      0.9341555797329116,
      0.9177176284090426,
      0.9016022408270103,
      0.885801086347506,
      0.870306135017207,
      0.8551096449228875,
      0.8402041492063383,
      0.8255824440281231,
      0.8112375768739946,
      0.7971628348931276,
      0.7833517343449513,
      0.7697980098068851,
      0.7564956051180851,
      0.7434386634495578,
      0.7306215186644796,
      0.7180386872759309,
      0.7056848602309468,
      0.6935548954929119,
      0.681643810817533,
      0.6699467774052902,
      0.6584591128488886,
      0.6471762755493101,
      0.6360938592147699,
      0.6252075865574136,
      0.6145133044536332,
      0.6040069690479053,
      0.5936845966568236,
      0.5835423129398941,
      0.5735763763271354,
      0.5637831638119442,
      0.5541591611934183,
      0.5447010378139348,
      0.535406298904145,
      0.526272683676162,
      0.517297619071684,
      0.5084783647389326,
      0.4998121027469275,
      0.4912959922979319,
      0.48292720432444847,
      0.474702942241347,
      0.4666204544203612,
      0.45867704109873897,
      0.45087005783209894,
      0.4431969174098864,
      0.4356550900838543,
      0.42824210299758997,
      0.420955661886426,
      0.4137937875485058,
      0.40675445586354303,
      0.39983557394336106,
      0.39303502396776563,
      0.38635068968083597,
      0.37978047285486943,
      0.37332230312456016,
      0.36697414409063794,
      0.36073399625980895,
      0.35459994063795675,
      0.3485702352422317,
      0.3426431391477808,
      0.33681689000295517,
      0.33108972602120135,
      0.3254598990274741,
      0.3199256825461176,
      0.31448537643104635,
      0.3091373158450151,
      0.30387989693975137,
      0.29871154601371763,
      0.2936307053161843,
      0.2886358384681005,
      0.2837254334304247,
      0.27889800434948425,
      0.27415209208652536,
      0.26948626456000774,
      0.26489911690527546,
      0.260389271013255,
      0.25595527743792046,
      0.25159555332513084,
      0.2473086113824485,
      0.24309306663850477,
      0.23894760767259599,
      0.23487097810695626,
      0.2308619642496441,
      0.22691938762497732,
      0.22304211118902612,
      0.219229350172195,
      0.21548046911137678,
      0.21179466769632924,
      0.20817104838579759,
      0.2046086584930847,
      0.20110651693489137,
      0.19766363116589103,
      0.1942789804102395,
      0.19095145837315708,
      0.18767999263248425,
      0.1844635629972525,
      0.18130118887835803,
      0.17819192101793485,
      0.17513483595154533,
      0.17212903226621398,
      0.16917362836965846,
      0.16626776068073162,
      0.1634105826431814,
      0.16060126363124547,
      0.15783898854541328,
      0.15512295704812804,
      0.1524523832458919,
      0.14982649556234995,
      0.14724453576628782,
      0.14470575926992274,
      0.14220943461259114,
      0.13975484305798538,
      0.13734127857041492,
      0.13496804746530566,
      0.1326344682483232,
      0.13033987137562053,
      0.1280835989033724,
      0.1258650042361006,
      0.12368345208647061,
      0.12153831815881219,
      0.11942898891706345,
      0.11735486152616147,
      0.11531534357875811,
      0.11330985284258693,
      0.11133781718605018,
      0.10939867409128642,
      0.10749187089815247,
      0.10561686448797501,
      0.10377312083397285,
      0.10196011525548364,
      0.10017733212461609,
      0.09842426443097464,
      0.0967004137446076,
      0.09500529038583834,
      0.0933384129822399,
      0.09169930827682143,
      0.09008751099553063,
      0.08850256398413577,
      0.08694401780697875,
      0.0854114305379711,
      0.08390436779066689,
      0.08242240261613083,
      0.08096511524525503,
      0.07953209304437171,
      0.07812293047364713,
      0.07673722866371652,
      0.07537459553771553,
      0.07403464571257944,
      0.07271700024330878,
      0.07142128658424197,
      0.07014713852902431,
      0.06889419604631854,
      0.06766210516659486,
      0.06645051783034191,
      0.06525909189490753,
      0.06408749086710223,
      0.06293538398087187,
      0.06180244609574319,
      0.060688357517534486,
      0.05959280386423339,
      0.058515476091971594,
      0.05745607025733872,
      0.05641428770612793,
      0.05538983455922743,
      0.054382422044133544,
      0.053391766081258236,
      0.05241758748004635,
      0.051459611656991096,
      0.0505175686510347,
      0.04959119302232977,
      0.04868022385451083,
      0.047784404547714245,
      0.04690348271715212,
      0.04603721024771042,
      0.04518534321819822,
      0.04434764169199476,
      0.04352386971373559,
      0.042713795537587286,
      0.04191719112050336,
      0.04113383210080019,
      0.040363497987504056,
      0.039605972046783455,
      0.038861041157930695,
      0.03812849564519025,
      0.037408129294450324,
      0.03669973941498014,
      0.036003126749198255,
      0.03531809545945219,
      0.03464445278422499,
      0.0339820092534511,
      0.03333057845176579,
      0.03268997715660797,
      0.032060025182599164,
      0.03144054543552109,
      0.030831363735991876,
      0.030232308692825158,
      0.029643211943237432,
      0.02906390780688401,
      0.028494233363847928,
      0.027934028466700848,
      0.027383135610736645,
      0.02684140002455494,
      0.02630866937647394,
      0.0257847938595421,
      0.025269626178483034,
      0.02476302148851812,
      0.024264837496768037,
      0.02377493419189934,
      0.023293173875019207,
      0.02281942106630918,
      0.02235354256615065,
      0.021895407512831054,
      0.02144488713096265,
      0.021001854838094764,
      0.020566186219756824,
      0.02013775881571128,
      0.019716452181214074,
      0.019302148045093226,
      0.018894729763640355,
      0.018494083034448976,
      0.01810009527637279,
      0.017712655736111357,
      0.01733165546725304,
      0.016956987488857822,
      0.01658854650621419,
      0.01622622907052237,
      0.01586993331344555,
      0.01551955920313604,
      0.015175008260255925,
      0.014836183712534251,
      0.014502990357330917,
      0.014175334639909328,
      0.013853124464689393,
      0.013536269317790842,
      0.013224680191874097,
      0.01291826956165388,
      0.01261695140310669,
      0.012320641072585452,
      0.012029255311897549,
      0.011742712239935978,
      0.011460931292283483,
      0.011183833343262464,
      0.010911340561162193,
      0.010643376384972585,
      0.010379865617101964,
      0.01012073424923495,
      0.009865909489950286,
      0.009615319714563057,
      0.009368894521288893,
      0.009126564671254734,
      0.008888262071485022,
      0.00865391982559395,
      0.008423472111326814,
      0.008196854234040384,
      0.007974002627371995,
      0.007754854597256862,
      0.00753934857853284,
      0.0073274240779111,
      0.007119021563785378,
      0.006914082499650497,
      0.006712549299103881,
      0.00651436533508154,
      0.00631947502930819,
      0.00612782360237188,
      0.005939357278759533,
      0.0057540230119261645,
      0.005571768810803307,
      0.00539254340807124,
      0.0052162965172473635,
      0.005042978692507481,
      0.004872541153783462,
      0.0047049360913722195,
      0.00454011642092201,
      0.004378035872479526,
      0.0042186489040438105,
      0.004061910751851404,
      0.003907777369233298,
      0.0037562055462846034,
      0.003607152708473758,
      0.003460576965805111,
      0.0033164371074333814,
      0.003174692624338089,
      0.0030353037475790196,
      0.0028982313683962664,
      0.002763437005681582,
      0.0026308828011268543,
      0.00250053145343105,
      0.002372346370754356,
      0.0022462915460803906,
      0.002122331632337905,
      0.002000431828965066,
      0.001880557827961192,
      0.0017626758702451795,
      0.001646752943748546,
      0.001532756494712443,
      0.001420654586334275,
      0.0013104156650673923,
      0.0012020088059646785,
      0.0010954035465393995,
      0.0009905698752325821,
      0.0008874783619212663,
      0.000786100105834395,
      0.000686406666670092,
      0.0005883699911101821,
      0.0004919625444410286,
      0.00039715729786926645,
      0.00030392760322401767,
      0.00021224719647586855,
      0.0001220903875604604,
      3.3431901954479365e-05,
      -5.3753167732647255e-05,
      -0.00013948930649345366,
      -0.00022380062890836329,
      -0.00030671080813651536,
      -0.0003882431435247893,
      -0.0004684205377755028,
      -0.000547265484819515,
      -0.0006248001326763584,
      -0.0007010463132904198,
      -0.0007760254310151338,
      -0.0008497584130013093,
      -0.0009222659631565827,
      -0.000993568528939143,
      -0.0010636861334663223,
      -0.0011326384797248708,
      -0.001200444957809892,
      -0.001267124587507264,
      -0.0013326960547961342,
      -0.0013971777724746445,
      -0.001460587876232914,
      -0.0015229441492924738,
      -0.0015842642070154646,
      -0.0016445653114539214,
      -0.001703864260910357,
      -0.0017621777042391613,
      -0.001819522053337842,
      -0.00187591352224552,
      -0.0019313678726760551,
      -0.0019859006031024457,
      -0.0020395270224522373,
      -0.002092262233720722,
      -0.00214412104704565,
      -0.0021951179932848995,
      -0.0022452674320108295,
      -0.0022945834106378885,
      -0.002343079840415986,
      -0.0023907702268413673,
      -0.002437668008632971,
      -0.00248378645795188,
      -0.002529138420746897,
      -0.0025737366917631724,
      -0.002617593803865867,
      -0.0026607220516942165,
      -0.0027031335846784176,
      -0.0027448403209951663,
      -0.002785854013532026,
      -0.0028261861560222074,
      -0.002865848002779815,
      -0.0029048507082690927,
      -0.0029432052499844745,
      -0.0029809224016109663,
      -0.0030180127691021314,
      -0.003054486692158849,
      -0.0030903544757526426,
      -0.0031256262079958066,
      -0.0031603117361103474,
      -0.003194420832111158,
      -0.0032279630024822223,
      -0.0032609477925879733,
      -0.0032933845376443586,
      -0.003325282189737481,
      -0.0033566496582223045,
      -0.0033874958383576384,
      -0.0034178293917641617,
      -0.0034476587802639673,
      -0.0034769924711815577,
      -0.003505838671361466,
      -0.0035342054485171803,
      -0.0035621008265692036,
      -0.003589532594419923,
      -0.0036165085656298408,
      -0.0036430362717801545,
      -0.0036691231131016438,
      -0.0036947764256573066,
      -0.0037200033892006417,
      -0.0037448111126288292,
      -0.00376920653472454,
      -0.003793196508629973
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334435789133385,
      10.092577272368743,
      9.844006606815155,
      9.591594417332848,
      9.33792185938303,
      9.085208347513202,
      8.835300139218834,
      8.58966112809647,
      8.349366895640738,
      8.115126985729312,
      7.887322791851701,
      7.666055759283738,
      7.451201258737237,
      7.242463612138729,
      7.039428606288942,
      6.8416109532843175,
      6.648495284447367,
      6.459570168500808,
      6.274355307820335,
      6.0924223810114,
      5.9134057975322945,
      5.737000848180993,
      5.562968120341981,
      5.391151142816613,
      5.2214691394921795,
      5.053905977579164,
      4.888530054524993,
      4.725527921378782,
      4.565174804515701,
      4.407779619001777,
      4.25367658807675,
      4.103233841687028,
      3.9568380062509165,
      3.8148636509898943,
      3.6776608162986513,
      3.5455428724429994,
      3.418776645275943,
      3.2975760908648937,
      3.182098467828585,
      3.072437612537523,
      2.9686108439338414,
      2.8705643137308154,
      2.778164275358327,
      2.6911924802526794,
      2.609393101620436,
      2.5325108432620502,
      2.4602779875032152,
      2.3924275241954627,
      2.328692405678385,
      2.268786894068392,
      2.212362201302243,
      2.159043270666776,
      2.1084945480203787,
      2.060390519554395,
      2.014435563937705,
      1.9703776807952695,
      1.9280159875641463,
      1.8871803921036239,
      1.8477305409234526,
      1.8095502242895232,
      1.7725347751154157,
      1.7365983934902212,
      1.7016714067602663,
      1.6676959032071914,
      1.6346226853651995,
      1.60240845581107,
      1.5710145014359207,
      1.5404084698232352,
      1.5105645122539053,
      1.4814583034039706,
      1.453065430021787,
      1.4253617157371319,
      1.3983234438592858,
      1.3719264140888268,
      1.3461469613372385,
      1.3209630524929419,
      1.2963540181910982,
      1.2723003643259558,
      1.2487836665515875,
      1.225786695697593,
      1.2032931466281214,
      1.1812873856647972,
      1.1597544323913516,
      1.1386803458767578,
      1.1180527796544535,
      1.0978599199079846,
      1.0780905195050487,
      1.0587333499491247,
      1.0397772629104434,
      1.02121131760134,
      1.0030248551541865,
      0.9852075391083022,
      0.9677493733249721,
      0.9506407084536683,
      0.9338722389832903,
      0.9174349952755938,
      0.9013203330158359,
      0.8855199214824259,
      0.8700257307445012,
      0.8548300184413622,
      0.839925317749545,
      0.8253044250773433,
      0.8109603875447835,
      0.7968864923506128,
      0.7830762553407421,
      0.7695234110679897,
      0.7562219028832108,
      0.7431658738068413,
      0.7303496576979263,
      0.7177677706164663,
      0.705414903357466,
      0.6932859138189887,
      0.6813758195889068,
      0.6696797914344406,
      0.6581931466448429,
      0.6469113434376494,
      0.635829974912679,
      0.624944763501262,
      0.6142515557353363,
      0.6037463072387084,
      0.5934250338509988,
      0.5832838608141396,
      0.5733190463936712,
      0.5635269676891432,
      0.553904110232867,
      0.5444471852662214,
      0.5351537541812121,
      0.5260215168096065,
      0.5170478752070291,
      0.5082300736705005,
      0.49956528409599443,
      0.49105065940429704,
      0.48268336625290315,
      0.4744606053610616,
      0.4663796231288668,
      0.4584377185588732,
      0.4506322464953926,
      0.44296061902268097,
      0.4354203059143802,
      0.42800883403094114,
      0.42072393180953904,
      0.41356362006295744,
      0.40652586510602606,
      0.3996085679137199,
      0.3928096066082387,
      0.38612686219899656,
      0.3795582347267989,
      0.3731016529865224,
      0.3667550797328302,
      0.36051651484245073,
      0.35438404739856433,
      0.3483559365058674,
      0.34243043694226516,
      0.33660578373994077,
      0.3308802132863773,
      0.32525197623389224,
      0.31971934518566997,
      0.314280619409065,
      0.30893413462312064,
      0.30367828819614956,
      0.2985115051239475,
      0.2934322269058682,
      0.2884389166544867,
      0.2835300619710619,
      0.2787041767233238,
      0.2739598016613176,
      0.2692955044896412,
      0.2647098800247656,
      0.2602015498953485,
      0.25576906939596394,
      0.2514108557629122,
      0.24712542007071076,
      0.2429113760681077,
      0.23876741150375977,
      0.23469226938427853,
      0.2306847358047818,
      0.2267436319549819,
      0.22286781614887496,
      0.21905649746673472,
      0.21530904410354276,
      0.2116246580041629,
      0.20800244317515806,
      0.2044414476988556,
      0.20094069092914907,
      0.19749918082118076,
      0.19411589352569777,
      0.19078972159554242,
      0.18751959437717897,
      0.18430449280025257,
      0.1811434370827448,
      0.17803547824630825,
      0.1749796929665106,
      0.17197518013006746,
      0.16902105817796664,
      0.1661164636262832,
      0.16326054988891156,
      0.1604524863092845,
      0.15769145773662943,
      0.15497666385621198,
      0.15230731896008734,
      0.1496826512350491,
      0.14710190253340272,
      0.1445643281687013,
      0.14206919653861486,
      0.13961578896895607,
      0.13720339942262016,
      0.1348313343279748,
      0.13249891211242829,
      0.13020546312768394,
      0.12795032943204088,
      0.12573286449975435,
      0.12355243316223573,
      0.12140841102425666,
      0.1193001845238802,
      0.1172271509241965,
      0.11518871772871832,
      0.11318430273316453,
      0.11121333360753438,
      0.10927524811448082,
      0.10736949364739509,
      0.10549552704835655,
      0.10365281433603224,
      0.10184083071818502,
      0.10005906045009501,
      0.09830699675534839,
      0.09658414126746928,
      0.09489000432728749,
      0.09322410444425606,
      0.09158596835221833,
      0.08997513098472786,
      0.08839113516732004,
      0.08683353143236788,
      0.08530187797835459,
      0.08379574039190255,
      0.08231469172966548,
      0.08085831224794868,
      0.07942618949192654,
      0.07801791772968886,
      0.07663309819287278,
      0.07527133897622526,
      0.07393225465659724,
      0.07261546633896165,
      0.07132060159876803,
      0.07004729418686723,
      0.06879518408113842,
      0.06756391735440158,
      0.06635314604489359,
      0.06516252804573887,
      0.06399172699661644,
      0.06284041215829142,
      0.06170825841288513,
      0.060594946052795924,
      0.05950016073575783,
      0.058423593491553835,
      0.057364940484592786,
      0.056323902856319184,
      0.0553001869804397,
      0.054293504034309166,
      0.05330357015189443,
      0.052330106152901464,
      0.05137283753095739,
      0.05043149438031878,
      0.04950581138420858,
      0.04859552749263163,
      0.047700386173115616,
      0.04682013510588213,
      0.04595452616543617,
      0.04510331550068414,
      0.04426626338308825,
      0.04344313398463703,
      0.04263369537434647,
      0.04183771960893864,
      0.04105498251436479,
      0.040285263611919336,
      0.03952834612876497,
      0.03878401695549931,
      0.038052066497093,
      0.037332288677239464,
      0.03662448087953785,
      0.035928443876881946,
      0.035243981856315644,
      0.03457090218999272,
      0.03390901531999221,
      0.03325813501137129,
      0.03261807806404852,
      0.0319886642918874,
      0.031369716645669954,
      0.030761061088409983,
      0.030162526214512524,
      0.029573943642924413,
      0.028995147823406477,
      0.028425975841493686,
      0.027866267697959426,
      0.027315866026820207,
      0.026774615874679115,
      0.026242364991915408,
      0.025718963726964254,
      0.02520426490569036,
      0.02469812375161669,
      0.024200397886006496,
      0.023710947336793325,
      0.02322963440442727,
      0.022756323829101463,
      0.022290882394991426,
      0.021833179235755208,
      0.021383085748474653,
      0.02094047535724167,
      0.02050522357107082,
      0.020077208011693472,
      0.01965630834124403,
      0.019242406280955887,
      0.01883538549772085,
      0.01843513140276616,
      0.018041531517023434,
      0.017654475202025278,
      0.017273853691079366,
      0.016899559910903708,
      0.0165314886856076,
      0.01616953659800312,
      0.01581360186401841,
      0.0154635843347404,
      0.01511938563179136,
      0.014780909041315085,
      0.014448059472353388,
      0.014120743331943643,
      0.013798868577976884,
      0.013482344720968825,
      0.013171082812776328,
      0.012864995434956944,
      0.012563996495836388,
      0.01226800133821253,
      0.01197692685912274,
      0.011690691202746685,
      0.01140921393577398,
      0.011132416010919358,
      0.01086021961582989,
      0.010592548156662813,
      0.010329326394861537,
      0.010070480431955124,
      0.009815937438636142,
      0.009565625871839449,
      0.009319475384510811,
      0.009077416880837904,
      0.008839382308456791,
      0.00860530472872134,
      0.008375118391139035,
      0.008148758710809,
      0.007926162015001853,
      0.0077072656877802456,
      0.007492008095830043,
      0.007280328760414829,
      0.007072168297837789,
      0.006867468275622646,
      0.006666171123184962,
      0.006468220268381802,
      0.006273560138287881,
      0.006082136017290365,
      0.0058938939468282875,
      0.005708781156480774,
      0.0055267456020438675,
      0.005347736123729086,
      0.005171702417543969,
      0.0049985950412118505,
      0.004828365239135198,
      0.004660965209192522,
      0.004496347908570782,
      0.004334467072799813,
      0.004175277237753785,
      0.004018733694701496,
      0.0038647924865453,
      0.0037134103245185313,
      0.0035645446725309647,
      0.0034181536056242154,
      0.0032741960654546227,
      0.0031326315780448935,
      0.0029934203304404546,
      0.0028565231923325138,
      0.0027219017090339666,
      0.0025895181030205637,
      0.002459335144637145,
      0.0023313162478162683,
      0.0022054254536749075,
      0.002081627384774474,
      0.0019598872589864777,
      0.0018401709753782774,
      0.0017224448468790422,
      0.0016066756462361255,
      0.001492830882532293,
      0.0013808786038240085,
      0.0012707873287060413,
      0.0011625261584028445,
      0.0010560646807097171,
      0.0009513729715145037,
      0.0008484215600896426,
      0.0007471815549384524,
      0.0006476245369369354,
      0.0005497225431164307,
      0.00045344794403462515,
      0.0003587737362488171,
      0.00026567337260431905,
      0.00017412060722503088,
      8.408976113211072e-05,
      -4.444473694763292e-06,
      -9.150696824164432e-05,
      -0.00017712227983071783,
      -0.00026131440483170685,
      -0.0003441069810413612,
      -0.0004255232787536631,
      -0.000505586171172789,
      -0.0005843181288070675,
      -0.0006617413459903117,
      -0.0007378775161102641,
      -0.0008127480505637874,
      -0.0008863740354245734,
      -0.0009587760279737616,
      -0.0010299744684320875,
      -0.0010999892637289818,
      -0.0011688402539214646,
      -0.0012365467046479629,
      -0.0013031277010628678,
      -0.001368601885338709,
      -0.0014329876890830156,
      -0.0014963032148486881,
      -0.0015585661799415412,
      -0.001619794055920658,
      -0.0016800041437097795,
      -0.0017392133041796043,
      -0.0017974382280131732,
      -0.00185469525953488,
      -0.001911000460746232,
      -0.0019663696872041334,
      -0.0020208184466793426,
      -0.0020743621127315465,
      -0.0021270157052235223,
      -0.002178794006515955,
      -0.002229711638451844,
      -0.002279782808214151,
      -0.0023290216122172805,
      -0.0023774419195289344,
      -0.0024250572546638746,
      -0.0024718810797722387,
      -0.002517926510105961,
      -0.002563206626705948,
      -0.0026077340883748153,
      -0.002651521334528905,
      -0.0026945806909249286,
      -0.0027369242781973544,
      -0.002778563944907646,
      -0.0028195114414161864,
      -0.0028597782114913434,
      -0.0028993755963483228,
      -0.002938314789922413,
      -0.0029766067048355095,
      -0.003014262059776068,
      -0.003051291453383268,
      -0.0030877053613016557,
      -0.003123513992797583,
      -0.0031587272927493695,
      -0.0031933552160423365,
      -0.003227407563138222,
      -0.0032608937894076065,
      -0.003293823366806527,
      -0.0033262054201726302,
      -0.0033580491576154564,
      -0.0033893636457592163,
      -0.0034201575335782853,
      -0.0034504395318756976,
      -0.003480218141763291,
      -0.003509501726615216,
      -0.0035382985574147607,
      -0.003566616647978265,
      -0.003594463983664792,
      -0.0036218484955588665,
      -0.0036487778370522636,
      -0.0036752595157985885,
      -0.0037013010058057007,
      -0.0037269094968252424,
      -0.003752092177139617,
      -0.0037768561534829207,
      -0.0038012085045514795,
      -0.0038251560478755942
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334431534097725,
      10.09256368855593,
      9.843978551002852,
      9.591546992821351,
      9.33785142925051,
      9.085112416933441,
      8.835177229864872,
      8.589510490458656,
      8.349188254171032,
      8.114920377389053,
      7.887088432888721,
      7.66579395245085,
      7.450912326496185,
      7.242147862178273,
      7.039086321135759,
      6.841242400152685,
      6.648100735236914,
      6.4591499343708305,
      6.27390977789849,
      6.091952068111395,
      5.912911443174855,
      5.73648350440104,
      5.562429072477649,
      5.390591907895735,
      5.220891385136435,
      5.053311543340783,
      4.887921218404035,
      4.724907864384601,
      4.564547013135962,
      4.407147613915898,
      4.253043833953122,
      4.102603984860791,
      3.956214672458154,
      3.8142502580536135,
      3.6770605125479348,
      3.544958497769082,
      3.4182106866969986,
      3.297030653229658,
      3.1815752797208825,
      3.071937926892255,
      2.968135337126038,
      2.8701130704594884,
      2.777736720869651,
      2.6907874424682516,
      2.609009204493602,
      2.532146544395343,
      2.459931636735499,
      2.3920974112068296,
      2.3283767814750194,
      2.268483998415862,
      2.21206972358629,
      2.1587590143385307,
      2.108216468520443,
      2.0601166903018866,
      2.0141644102111944,
      1.9701080260787112,
      1.9277469598047479,
      1.8869113431515818,
      1.8474610114698777,
      1.8092798297708692,
      1.7722631571084901,
      1.736325317776181,
      1.7013967250262936,
      1.6674194272339715,
      1.6343442538354407,
      1.6021279735467875,
      1.5707320039128856,
      1.540124254300253,
      1.510278996396819,
      1.481171778912207,
      1.4527780983048058,
      1.4250737178041595,
      1.398034897921934,
      1.3716374340689033,
      1.3458576290037787,
      1.3206734289675408,
      1.2960641506615502,
      1.272010292036844,
      1.2484934867006723,
      1.225496572499967,
      1.2030031907837706,
      1.1809976743941555,
      1.1594650209281767,
      1.1383912946971786,
      1.1177641415693458,
      1.0975717458604306,
      1.077802852755612,
      1.0584462244114414,
      1.0394907063412981,
      1.0209253536456022,
      1.0027395050618038,
      0.9849228225148029,
      0.9674653096231443,
      0.9503573165715139,
      0.9335895372470263,
      0.917153001611275,
      0.9010390651857814,
      0.8852393970515537,
      0.8697459670311015,
      0.8545510330127702,
      0.839647128140308,
      0.8250270482393831,
      0.8106838406054814,
      0.7966107920855817,
      0.7828014186255235,
      0.7692494546294594,
      0.7559488432936501,
      0.742893727261363,
      0.73007844008529,
      0.7174974978821946,
      0.7051455911182357,
      0.6930175771437178,
      0.6811084732765209,
      0.6694134501278155,
      0.6579278247051547,
      0.6466470551898835,
      0.6355667343731843,
      0.6246825843239636,
      0.613990451350924,
      0.6034862904518057,
      0.5931661163488212,
      0.5830260546486515,
      0.5730623633450824,
      0.563271419078576,
      0.5536497072862875,
      0.5441939809481741,
      0.5349018576091311,
      0.5257709976846308,
      0.5167987788669509,
      0.5079824296578594,
      0.49931911186924705,
      0.4908059720247324,
      0.48244017284807617,
      0.47421891234741126,
      0.4661394351390736,
      0.4581990388231729,
      0.45039507731355594,
      0.44272496220184254,
      0.4351861627420669,
      0.42777620524045834,
      0.4204928407670308,
      0.4133340905116613,
      0.40629791102619356,
      0.39938219712846007,
      0.3925848228870547,
      0.3859036669358268,
      0.3793366276131396,
      0.37288163241984157,
      0.3665366432928289,
      0.3602996596077663,
      0.3541687796589379,
      0.34814226234508655,
      0.3422183583289361,
      0.3363952999151798,
      0.33067132162949564,
      0.32504467295270045,
      0.31951362573290015,
      0.3140764787650077,
      0.30873156840080973,
      0.303477292895097,
      0.2983120760932073,
      0.2932343587434759,
      0.2882426034746572,
      0.28333529755255404,
      0.2785109544377856,
      0.27376811453829236,
      0.26910534554516174,
      0.26452124221892254,
      0.26001442606227954,
      0.25558345689131234,
      0.2512267520938257,
      0.24694282081563543,
      0.24273027561141028,
      0.23858780354786985,
      0.23451414705042967,
      0.23050809171731412,
      0.22656845862801367,
      0.22269410150061614,
      0.21888422333696322,
      0.21513819598599507,
      0.2114552236821204,
      0.2078344117984542,
      0.20427480927179278,
      0.20077543604266504,
      0.19733530027152538,
      0.19395337411664185,
      0.19062855015551047,
      0.18735975942045355,
      0.18414598387954412,
      0.18098624436105093,
      0.17787959246485313,
      0.17482510508301288,
      0.17182188116725272,
      0.16886903933883435,
      0.1659657161039033,
      0.1631110648534371,
      0.16030425507284388,
      0.15754447157423423,
      0.15483091393436976,
      0.15216279623877618,
      0.1495393466356197,
      0.14695980706765358,
      0.14442343295978052,
      0.1419294926061338,
      0.139477267433428,
      0.13706605140457698,
      0.13469515071923813,
      0.13236388395695287,
      0.13007158144894496,
      0.12781758516821648,
      0.12560124863545258,
      0.1234219365419977,
      0.12127902459763147,
      0.11917189933003214,
      0.11709995779010803,
      0.115062607583427,
      0.11305926653388469,
      0.11108936253951651,
      0.10915233317402571,
      0.10724762569501993,
      0.10537469702629579,
      0.1035330132696749,
      0.1017220497240412,
      0.09994129061667455,
      0.09819022913177197,
      0.0964683670808516,
      0.09477521469151483,
      0.09311029054558256,
      0.0914731214500456,
      0.08986324234945803,
      0.0882801960368298,
      0.08672353310493741,
      0.08519281181044107,
      0.08368759773229986,
      0.082207463948998,
      0.08075199086359064,
      0.07932076584135993,
      0.07791338341965823,
      0.07652944488748258,
      0.07516855815984695,
      0.07383033790495014,
      0.07251440533278092,
      0.07122038808378615,
      0.0699479199529031,
      0.06869664088418746,
      0.06746619701642434,
      0.06625624042989206,
      0.06506642893721556,
      0.06389642632140341,
      0.06274590191827177,
      0.06161453069659723,
      0.06050199305655093,
      0.059407974664347295,
      0.05833216646216264,
      0.057274264688084685,
      0.05623397068046976,
      0.05521099086636095,
      0.054205036492726816,
      0.05321582355976752,
      0.05224307289625586,
      0.051286510160597036,
      0.050345865484684595,
      0.04942087362803243,
      0.04851127357305464,
      0.04761680880140364,
      0.04673722712911631,
      0.0458722805551209,
      0.0450217250871099,
      0.04418532113339142,
      0.04336283291543615,
      0.042554028553527856,
      0.0417586801130074,
      0.04097656355137201,
      0.040207458460508924,
      0.03945114813759594,
      0.03870741948284412,
      0.03797606297735,
      0.037256872640008515,
      0.03654964587402334,
      0.035854183427808224,
      0.03517028952163875,
      0.03449777160586192,
      0.033836440220691086,
      0.033186109135081035,
      0.032546595243402136,
      0.03191771848686945,
      0.03129930178695535,
      0.03069117109814891,
      0.03009315523738891,
      0.029505085838857092,
      0.02892679730031214,
      0.028358126982460756,
      0.02779891470026149,
      0.027249003089539207,
      0.026708237347731593,
      0.026176465303145692,
      0.02565353741147399,
      0.025139306489031916,
      0.02463362776044905,
      0.02413635894759495,
      0.023647360088007736,
      0.02316649359176352,
      0.02269362418650653,
      0.02222861875046249,
      0.021771346542184284,
      0.021321678974805712,
      0.02087948953248077,
      0.02044465366942057,
      0.020017048971187577,
      0.019596555273075498,
      0.019183054272094376,
      0.018776429699967352,
      0.018376567236307127,
      0.01798335434089116,
      0.01759668052526844,
      0.017216436976677147,
      0.016842516691973352,
      0.016474814407843923,
      0.016113226741755256,
      0.01575765202222722,
      0.015407990163663158,
      0.015064142872297116,
      0.014726013457809536,
      0.014393506740627142,
      0.014066529270329723,
      0.013744989061082267,
      0.013428795727145098,
      0.01311786034474503,
      0.012812095427816955,
      0.012511414979362303,
      0.012215734478453411,
      0.011924970822573018,
      0.011639042115878113,
      0.011357867984339179,
      0.01108136936060524,
      0.010809468475347094,
      0.010542088933563194,
      0.010279155567171377,
      0.010020594305311877,
      0.009766332488062475,
      0.009516298587904093,
      0.00927042228513574,
      0.009028634586640175,
      0.008790867421324783,
      0.008557053844028484,
      0.00832712807161955,
      0.008101025651239064,
      0.00787868290199152,
      0.007660037345759406,
      0.0074450274683562565,
      0.007233592828107589,
      0.007025673945752929,
      0.006821212376471153,
      0.006620150607684985,
      0.006422432119693475,
      0.006228001341950892,
      0.006036803530285443,
      0.005848785048405322,
      0.005663892966479283,
      0.005482075311327752,
      0.0053032810026271355,
      0.005127459690222115,
      0.004954562027672582,
      0.004784539344715644,
      0.004617343697981317,
      0.0044529281600516266,
      0.004291246482291321,
      0.004132253301695918,
      0.003975903816408913,
      0.0038221541250715147,
      0.0036709609781978023,
      0.0035222818882343445,
      0.003376075001094179,
      0.003232299268984975,
      0.003090914308219674,
      0.002951880285325623,
      0.002815158078739971,
      0.0026807093161891646,
      0.002548496179229861,
      0.002418481535047763,
      0.002290628758678577,
      0.002164901862719379,
      0.002041265540694012,
      0.001919685066458721,
      0.0018001262725136494,
      0.0016825555748279097,
      0.0015669398347045872,
      0.0014532464894590604,
      0.0013414435644798146,
      0.0012314996112884487,
      0.001123383845176918,
      0.0010170658904592289,
      0.0009125157122211131,
      0.0008097039118235603,
      0.0007086016561119088,
      0.0006091804942368745,
      0.0005114124813635951,
      0.0004152701960067312,
      0.00032072660073797924,
      0.00022775498051785483,
      0.00013632923227252774,
      4.642371141475748e-05,
      -4.1986862409300915e-05,
      -0.00012892730733848136,
      -0.00021442207044581723,
      -0.0002984952155210265,
      -0.0003811704412128704,
      -0.00046247099593624334,
      -0.0005424196738718643,
      -0.0006210388533406815,
      -0.0006983507565464157,
      -0.0007743770915467713,
      -0.0008491393155796275,
      -0.0009226584584150707,
      -0.000994955160487156,
      -0.0010660496648034186,
      -0.0011359619728204965,
      -0.0012047118656576049,
      -0.0012723185872620616,
      -0.001338801149265707,
      -0.0014041782845539412,
      -0.001468468368178521,
      -0.0015316894576708501,
      -0.00159385917941893,
      -0.0016549951034124891,
      -0.0017151143920361713,
      -0.0017742340649769322,
      -0.0018323707605435457,
      -0.0018895406864862265,
      -0.0019457600144736366,
      -0.002001044568287025,
      -0.0020554098477220967,
      -0.0021088712294067024,
      -0.002161443689896478,
      -0.002213141991989428,
      -0.0022639806661537893,
      -0.0023139739785115027,
      -0.0023631360759342216,
      -0.002411480679009593,
      -0.002459021307747528,
      -0.002505771353522242,
      -0.002551744100042039,
      -0.0025969524065092937,
      -0.0026414090060980877,
      -0.002685126416149036,
      -0.0027281169680910535,
      -0.0027703926713901826,
      -0.0028119653689589338,
      -0.002852846777250275,
      -0.0028930483667931363,
      -0.002932581439079983,
      -0.002971457215533424,
      -0.0030096865823553785,
      -0.0030472802289488845,
      -0.003084248715227616,
      -0.00312060257674295,
      -0.0031563519459901846,
      -0.0031915068532419434,
      -0.0032260771830873755,
      -0.0032600727324889178,
      -0.0032935030709634787,
      -0.003326377571846383,
      -0.00335870541727067,
      -0.0033904957298560145,
      -0.003421757385527994,
      -0.0034524992329898387,
      -0.003482729963123714,
      -0.0035124579903634853,
      -0.0035416917019734182,
      -0.003570439312993219,
      -0.0035987088858252534,
      -0.003626508336276011,
      -0.003653845515484539,
      -0.0036807281645735578,
      -0.003707163779563864,
      -0.0037331598444258797,
      -0.003758723669540742,
      -0.0037838623886088532,
      -0.0038085829866976637,
      -0.003832892601246473,
      -0.00385679805371695
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334427289232508,
      10.092550139905834,
      9.843950564744334,
      9.59149967673611,
      9.3377811499026,
      9.085016683509748,
      8.835054567545257,
      8.589360151291878,
      8.349009963597812,
      8.114714171463302,
      7.886854529535619,
      7.665532652884824,
      7.4506239534716645,
      7.2418327247875425,
      7.038744701977432,
      6.840874563220071,
      6.64770695241975,
      6.458730517026278,
      6.273465115132524,
      6.091482672375806,
      5.912418072816833,
      5.735967211826942,
      5.561891144947115,
      5.390033863426176,
      5.2203148912023165,
      5.052718439470215,
      4.887313781360557,
      4.724289272669851,
      4.563920750328307,
      4.40651719736236,
      4.252412722951792,
      4.101975819816509,
      3.955593071597019,
      3.8136386313732342,
      3.6764620016445932,
      3.5443759337571454,
      3.4176465493768196,
      3.296487041032856,
      3.181053914144604,
      3.071440004586164,
      2.967661512234429,
      2.8696634140949433,
      2.77731066915572,
      2.6903838335816888,
      2.608626671861105,
      2.5317835528183092,
      2.459586542788387,
      2.391768511606343,
      2.328062334295649,
      2.268182241209903,
      2.2117783466948135,
      2.158475828238322,
      2.107939435346556,
      2.059843889717892,
      2.0138942718993813,
      1.9698393774783607,
      1.9274789307785194,
      1.8866432866104603,
      1.8471924693203814,
      1.8090104190421101,
      1.7719925209845842,
      1.736053223629163,
      1.7011230250958336,
      1.667143979498423,
      1.6340668820515707,
      1.601848573018731,
      1.5704506038779025,
      1.5398412049595787,
      1.509994691081165,
      1.4808864939808553,
      1.4524920249578648,
      1.4247869906486457,
      1.3977476302829266,
      1.3713497377649415,
      1.345569583937293,
      1.3203850946261473,
      1.2957755741504866,
      1.2717215116749752,
      1.2482046465520775,
      1.2252078178311543,
      1.202714620933833,
      1.1807093597885825,
      1.1591770132391628,
      1.1381036510643399,
      1.117476912345586,
      1.0972849810132,
      1.0775165948775067,
      1.058160506746779,
      1.0392055563274372,
      1.0206407954129426,
      1.0024555604869445,
      0.9846395116433425,
      0.9671826514804465,
      0.9500753296492741,
      0.9333082398204131,
      0.9168724117854484,
      0.9007592008761184,
      0.8849602758459073,
      0.8694676066984903,
      0.8542734509800208,
      0.8393703418186258,
      0.8247510750827671,
      0.8104086977993872,
      0.7963364965776053,
      0.7825279873465241,
      0.7689769043712914,
      0.7556771904977564,
      0.7426229883542058,
      0.7298086312676924,
      0.7172286349323783,
      0.7048776895642336,
      0.6927506525259942,
      0.6808425405350386,
      0.6691485240203884,
      0.6576639199610418,
      0.6463841856868089,
      0.6353049138033746,
      0.6244218261630246,
      0.6137307688439564,
      0.6032276959780951,
      0.592908622201032,
      0.5827696728113602,
      0.5728071055182523,
      0.5630172967944392,
      0.5533967318146669,
      0.5439422055116137,
      0.5346513910329003,
      0.5255219095902386,
      0.5165511144943004,
      0.507736218610305,
      0.4990743738496874,
      0.4905627202171288,
      0.4821984160244203,
      0.4739786565208453,
      0.46590068471826757,
      0.45796179701709966,
      0.45015934655213563,
      0.442490744192067,
      0.4349534587954842,
      0.4275450162131085,
      0.42026318996623035,
      0.41310600128686226,
      0.40607139744140675,
      0.39915726710892663,
      0.3923614805522156,
      0.3856819137436576,
      0.3791164631346092,
      0.3726630550774379,
      0.36631965078535794,
      0.36008424897244873,
      0.35395495694492446,
      0.34793003362748565,
      0.34200772544290026,
      0.336186262020834,
      0.3304638762550167,
      0.32483881644336593,
      0.319309353603239,
      0.31387378607110933,
      0.30853045066705886,
      0.3032777465960295,
      0.29811409671786226,
      0.29303794103017716,
      0.2880477413980164,
      0.2831419848272497,
      0.2783191844850033,
      0.2735778805499588,
      0.26891664049509856,
      0.26433405890911255,
      0.25982875711571657,
      0.25539929977984815,
      0.2510441045898847,
      0.2467616786208818,
      0.24255063326945642,
      0.23840965470203102,
      0.23433748479870736,
      0.2303329090019392,
      0.22639474783397281,
      0.22252185206804795,
      0.21871341749881992,
      0.21496881820998193,
      0.21128726098038866,
      0.2076678527632912,
      0.2041096436123394,
      0.2006116541503757,
      0.19717289273609973,
      0.19379232794712492,
      0.19046885227631913,
      0.18720139847292697,
      0.1839889496384508,
      0.18083052707818342,
      0.17772518264616907,
      0.17467199365401248,
      0.1716700591750783,
      0.16871849779995832,
      0.16581644622675176,
      0.16296305789832788,
      0.16015750210970062,
      0.15739896365248401,
      0.15468664225221523,
      0.15201975194350287,
      0.14939752078850502,
      0.14681919064638302,
      0.14428401687883333,
      0.14179126795298344,
      0.13934022518331102,
      0.13693018245232774,
      0.13456044610137569,
      0.13223033466666262,
      0.12993917841602765,
      0.1276863193910526,
      0.12547111099483585,
      0.1232929179194949,
      0.12115111599376774,
      0.11904509165135711,
      0.11697424210055715,
      0.11493797494214629,
      0.11293570785841925,
      0.110966868754354,
      0.10903089534615536,
      0.10712723485173598,
      0.10525534410011804,
      0.10341468932214784,
      0.10160474579460368,
      0.09982499787055907,
      0.09807493861327045,
      0.09635406983537627,
      0.09466190186815257,
      0.09299795334720831,
      0.09136175100087998,
      0.08975282986728862,
      0.08817073284027237,
      0.08661501047468516,
      0.0850852210153112,
      0.08358093011267322,
      0.08210171093989418,
      0.0806471439191431,
      0.07921681641993698,
      0.07781032286060097,
      0.07642726468830087,
      0.0750672499833376,
      0.07372989344694218,
      0.07241481626623053,
      0.07112164591353856,
      0.0698500163535071,
      0.06859956768497093,
      0.06736994615208355,
      0.06616080376750733,
      0.06497179838597901,
      0.06380259380564879,
      0.06265285945870634,
      0.06152227030396528,
      0.0604105067398796,
      0.059317254594985144,
      0.058242204903024286,
      0.057185053932663564,
      0.056145503052325844,
      0.05512325866173283,
      0.05411803206245357,
      0.053129539449007,
      0.052157501736678574,
      0.05120164444511051,
      0.05026169776169678,
      0.04933739644425893,
      0.04842847971549989,
      0.04753469105682084,
      0.04665577833923654,
      0.04579149359539621,
      0.04494159293190527,
      0.044105836733626516,
      0.04328398935269642,
      0.04247581902634288,
      0.041681097805807116,
      0.04089960160186574,
      0.04013111000960536,
      0.0393754064398575,
      0.03863227786440082,
      0.03790151496621542,
      0.03718291170572131,
      0.036476265567903274,
      0.035781377351456076,
      0.03509805130245583,
      0.03442609491695685,
      0.03376531885809513,
      0.03311553677736207,
      0.03247656564989845,
      0.03184822558167062,
      0.03123033946991527,
      0.030622733393133775,
      0.030025236116209393,
      0.02943767933781048,
      0.028859897726272746,
      0.028291728546970155,
      0.027733011637233976,
      0.02718358970902157,
      0.026643308071188365,
      0.026112014577961862,
      0.025589559638636395,
      0.025075796147523734,
      0.024570579411236828,
      0.02407376719329601,
      0.023585219641079496,
      0.02310479913284053,
      0.0226323705537827,
      0.022167800862221653,
      0.02171095927513418,
      0.021261717239595423,
      0.020819948234815318,
      0.020385527836441753,
      0.019958333871876687,
      0.019538246107272186,
      0.01912514626004047,
      0.01871891803798949,
      0.01831944713547312,
      0.01792662111637462,
      0.01754032943161562,
      0.017160463297575722,
      0.01678691583619842,
      0.016419581904099277,
      0.016058358183088286,
      0.015703142997704995,
      0.015353836349503805,
      0.015010340021122122,
      0.01467255731208228,
      0.014340393117745476,
      0.014013753982839735,
      0.013692548040167127,
      0.013376684764941051,
      0.01306607535151376,
      0.012760632466633,
      0.012460270072581044,
      0.012164903732249766,
      0.011874450239755635,
      0.011588827892131776,
      0.011307956378698745,
      0.011031756623571939,
      0.010760150999578947,
      0.01049306303630538,
      0.010230417507418857,
      0.009972140593663763,
      0.009718159555076747,
      0.009468403037229763,
      0.009222800784758392,
      0.008981283563217826,
      0.008743783453339874,
      0.008510233724615434,
      0.008280568548030642,
      0.00805472331035103,
      0.007832634576685734,
      0.007614239746187433,
      0.007399477423586106,
      0.007188287235513614,
      0.006980609682517937,
      0.006776386427330606,
      0.006575559963892546,
      0.006378073799228371,
      0.006183872447645755,
      0.005992901130433801,
      0.005805106158908279,
      0.0056204347807225444,
      0.0054388349410855056,
      0.005260255581378346,
      0.005084646431973745,
      0.004911958120374829,
      0.004742142079253,
      0.004575150584824459,
      0.004410936613989328,
      0.004249454003395927,
      0.004090657268163161,
      0.003934501715908819,
      0.003780943449655218,
      0.003629939220667786,
      0.003481446583365324,
      0.003335423709471386,
      0.003191829535655716,
      0.003050623761193231,
      0.002911766664520688,
      0.002775219080646806,
      0.002640942654901627,
      0.002508899590217533,
      0.0023790527598967657,
      0.002251365548815273,
      0.002125802027991429,
      0.002002326966143817,
      0.0018809056531998555,
      0.0017615039167464914,
      0.001644088210411985,
      0.0015286254759783364,
      0.0014150831343847355,
      0.001303429237799996,
      0.0011936323694657172,
      0.001085661743007323,
      0.00097948701190021,
      0.0008750782709057532,
      0.0007724060342734618,
      0.0006714413743082832,
      0.0005721559160246068,
      0.0004745219418735664,
      0.0003785118314745175,
      0.00028409858932387745,
      0.00019125565592864548,
      9.995698177992043e-05,
      1.0176880470918686e-05,
      -7.81099893391921e-05,
      -0.00016492844996401752,
      -0.00025030286392920995,
      -0.0003342572486733537,
      -0.00041681528827124174,
      -0.0004980002736484813,
      -0.0005778349841013548,
      -0.0006563418658220347,
      -0.0007335429736687491,
      -0.0008094599432974183,
      -0.0008841142160649956,
      -0.0009575267604712359,
      -0.001029718237266938,
      -0.0011007090171656013,
      -0.001170518980553861,
      -0.0012391677929986026,
      -0.0013066748742066238,
      -0.0013730590862230298,
      -0.0014383390875723234,
      -0.0015025333998990107,
      -0.001565660073528122,
      -0.0016277368350529583,
      -0.0016887810992742714,
      -0.0017488100250467342,
      -0.0018078404744308891,
      -0.0018658890853332866,
      -0.0019229722285739879,
      -0.00197910597044057,
      -0.0020343061103365095,
      -0.002088588128351556,
      -0.002141967271319935,
      -0.002194458631962846,
      -0.0022460768645161475,
      -0.002296836560391813,
      -0.002346751955519464,
      -0.0023958371453724203,
      -0.0024441059175128485,
      -0.0024915719139618963,
      -0.0025382483157953186,
      -0.002584148372076258,
      -0.002629284974565126,
      -0.0026736708357510807,
      -0.0027173185324093326,
      -0.0027602402558370483,
      -0.002802448056998505,
      -0.0028439538366854273,
      -0.0028847692648212102,
      -0.0029249057691382134,
      -0.0029643747073395473,
      -0.0030031871633811164,
      -0.003041354054857673,
      -0.0030788861821283028,
      -0.0031157940479585927,
      -0.0031520880453019965,
      -0.003187778281592403,
      -0.0032228748857182983,
      -0.003257387786923725,
      -0.0032913266902097893,
      -0.003324701089083825,
      -0.0033575204299082563,
      -0.00338979395815425,
      -0.0034215306466580334,
      -0.003452739383436253,
      -0.0034834290893674532,
      -0.0035136083013813544,
      -0.003543285549807724,
      -0.003572469251538975,
      -0.0036011675780153575,
      -0.0036293886016207236,
      -0.003657140276475303,
      -0.003684430298003165,
      -0.0037112664384750743,
      -0.0037376561830550392,
      -0.0037636069946338723,
      -0.003789126215846069,
      -0.003814220996050323,
      -0.0038388984849877074,
      -0.0038631655234781922,
      -0.003887028925006378
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334423048536788,
      10.09253660416244,
      9.843922606241563,
      9.591452401790098,
      9.337710930967312,
      9.084921033565951,
      8.834932014724695,
      8.589209949673304,
      8.348831841756317,
      8.114508166355634,
      7.8866208591852285,
      7.6652716210131615,
      7.450335884907842,
      7.241517927982475,
      7.038403460566891,
      6.8405071464418326,
      6.647313634046673,
      6.45831160979912,
      6.273021010666145,
      6.091013884349295,
      5.9119253716501,
      5.735451647978984,
      5.5613540043811795,
      5.389476662486145,
      5.219739297936727,
      5.05212629370905,
      4.886707359968519,
      4.7236717525923275,
      4.563295612817392,
      4.405887956656515,
      4.251782835387191,
      4.101348922214045,
      3.954972777852795,
      3.813028347236608,
      3.675864863169013,
      3.543794766926735,
      3.417083827648281,
      3.2959448561137252,
      3.1805339814751936,
      3.0709435150470425,
      2.96718908958322,
      2.869215104027658,
      2.7768859130767707,
      2.689981474381689,
      2.6082453477357337,
      2.5314217341113645,
      2.4592425907281963,
      2.3914407257484354,
      2.327748975101179,
      2.267881548217701,
      2.2114880118039593,
      2.158193664285931,
      2.1076634064827533,
      2.0595720774892037,
      2.0136251081295873,
      1.969571691090594,
      1.927211853874709,
      1.8863761739916691,
      1.846924864654053,
      1.8087419406247904,
      1.7717228135056342,
      1.7357820555876018,
      1.7008502499838871,
      1.6668694565157058,
      1.6337904351748471,
      1.6015700977851028,
      1.570170130123799,
      1.5395591269814093,
      1.5097113870606695,
      1.48060223094373,
      1.452206987535074,
      1.424501309540196,
      1.3974614166006827,
      1.371063100669648,
      1.3452826019046182,
      1.3200978267926229,
      1.2954880668679976,
      1.2714338465077373,
      1.247916985176674,
      1.2249202816960287,
      1.2024272946174106,
      1.1804223032146361,
      1.1588902717213292,
      1.1378172780915214,
      1.1171909556929855,
      1.0969994884758172,
      1.077231608546212,
      1.0578760599625483,
      1.0389216764577018,
      1.0203575064496575,
      1.0021728838432418,
      0.9843574678449416,
      0.9669012599053173,
      0.9497946090641117,
      0.9330282085944918,
      0.9165930880368552,
      0.9004806026531978,
      0.8846824211408159,
      0.8691905131911711,
      0.85399713642855,
      0.8390948238762093,
      0.824476371253151,
      0.8101348255306309,
      0.7960634730637274,
      0.7822558291875038,
      0.768705628313282,
      0.7554068133217654,
      0.7423535263205862,
      0.7295401006160983,
      0.7169610515564018,
      0.7046110691572847,
      0.6924850101812997,
      0.6805778915299406,
      0.6688848830383007,
      0.6574013014727852,
      0.6461226039395782,
      0.6350443826218468,
      0.6241623589946779,
      0.6134723788192744,
      0.6029703960124777,
      0.5926524241715725,
      0.5825145885030685,
      0.5725531469263029,
      0.5627644755792993,
      0.5531450593342259,
      0.5436917383451572,
      0.5344022360636265,
      0.5252741352241312,
      0.5163047651970973,
      0.5074913234711534,
      0.4988309521871678,
      0.49032078511187865,
      0.48195797642462007,
      0.4737397187935206,
      0.46566325332067643,
      0.4577258751810206,
      0.44992493662756333,
      0.4422578478805445,
      0.4347220771463214,
      0.42731515012130644,
      0.4200348628244172,
      0.4128792369320567,
      0.40584620968342955,
      0.3989336636399068,
      0.39213946515026565,
      0.38546148754256426,
      0.37889762575323604,
      0.3724458049248526,
      0.36610398568899655,
      0.35987016618945145,
      0.3537424625812879,
      0.34771913362673595,
      0.3417984216627391,
      0.33597855355588613,
      0.33025776064461404,
      0.3246342899545489,
      0.31910641169757376,
      0.3136724235722609,
      0.30833066322076624,
      0.3030795308213865,
      0.29791744792845387,
      0.2928428536203668,
      0.28785420954099505,
      0.28295000226678163,
      0.27812874455205305,
      0.2733889764944034,
      0.26872926539463915,
      0.26414820557548147,
      0.2596444182909045,
      0.25521647307513173,
      0.25086278781095606,
      0.24658186762506554,
      0.24237232261181096,
      0.23823283808379633,
      0.2341621553968498,
      0.2301590594768639,
      0.2262223707542436,
      0.22235093967125266,
      0.21854395328328627,
      0.21480078499262584,
      0.21112064476220546,
      0.20750264158280812,
      0.20394582681317594,
      0.20044922162680895,
      0.19701183491789223,
      0.1936326317271673,
      0.1903105045442465,
      0.1870443877892083,
      0.18383326548497134,
      0.18067615969672368,
      0.1775721227391859,
      0.17452023207369827,
      0.17151958689824215,
      0.16856930587106528,
      0.16566852575760674,
      0.1628163999722026,
      0.16001209793901985,
      0.1572548045138251,
      0.1545437191920253,
      0.1518780560164009,
      0.149257043181082,
      0.14667992250814033,
      0.1441459493049863,
      0.14165439187143403,
      0.13920453157121596,
      0.1367956622853065,
      0.1344270904485916,
      0.13209813441035784,
      0.12980812447912166,
      0.12755640269716312,
      0.1253423225935818,
      0.12316524876185107,
      0.12102455693572721,
      0.118919633603384,
      0.1168498760179662,
      0.11481469166873604,
      0.11281349842779327,
      0.11084572404879278,
      0.10891080632137648,
      0.10700819257671326,
      0.10513733966383094,
      0.10329771375904652,
      0.10148879020701677,
      0.09971005328392128,
      0.09796099608542454,
      0.09624112040646927,
      0.09454993666339731,
      0.0928869635649026,
      0.09125172805346575,
      0.08964376492495733,
      0.08806261697152241,
      0.08650783494228106,
      0.08497897715291294,
      0.08347560938916328,
      0.08199730472207986,
      0.08054364355204091,
      0.07911421331008507,
      0.07770860861020468,
      0.07632643085470131,
      0.074967288108686,
      0.07363079502411356,
      0.0723165729524639,
      0.07102424948391295,
      0.06975345864831785,
      0.06850384049372245,
      0.06727504114167705,
      0.0660667128456796,
      0.06487851362355906,
      0.06371010715873403,
      0.06256116305045314,
      0.061431356086551876,
      0.06032036676988025,
      0.059227880958743734,
      0.05815358980143341,
      0.05709718959769667,
      0.05605838176230381,
      0.055036872765968296,
      0.05403237401937629,
      0.05304460161301759,
      0.05207327649756801,
      0.051118124479164445,
      0.050178875698460974,
      0.04925526492763812,
      0.048347031340673086,
      0.047453918577264664,
      0.04657567454984412,
      0.0457120513940965,
      0.044862805359310504,
      0.04402769681273947,
      0.04320648998576631,
      0.04239895324453648,
      0.04160485863732708,
      0.040823982248642164,
      0.04005610384982642,
      0.03930100680528996,
      0.038558478160999825,
      0.03782830852789133,
      0.037110292016747225,
      0.03640422611023236,
      0.03570991164987969,
      0.03502715300113349,
      0.0343557576530138,
      0.0336955362307662,
      0.033046302692332476,
      0.03240787405366359,
      0.03178007036818793,
      0.031162714660574617,
      0.030555632871767765,
      0.029958653955386914,
      0.029371609686638305,
      0.02879433457128403,
      0.028226666000625313,
      0.027668444150278464,
      0.02711951164193736,
      0.02657971377393301,
      0.02604889843168892,
      0.025526916071925754,
      0.025013619716559167,
      0.024508864676695226,
      0.02401250881368725,
      0.02352441239649766,
      0.023044437841228976,
      0.022572449859575253,
      0.022108315584575572,
      0.021651904266763694,
      0.021203087398583138,
      0.02076173852274797,
      0.020327733386171602,
      0.01990094966307488,
      0.01948126721402157,
      0.01906856788881105,
      0.01866273550893349,
      0.0182636557242169,
      0.017871216131044018,
      0.01748530614983187,
      0.017105817151643065,
      0.016732642287005845,
      0.016365676563379686,
      0.016004816649997644,
      0.015649960854355095,
      0.015301009226317464,
      0.01495786350975392,
      0.014620427234472391,
      0.014288605369852648,
      0.013962304378645764,
      0.013641432384257584,
      0.013325899014229101,
      0.013015615484837421,
      0.012710494437362743,
      0.012410449983509961,
      0.012115397629617332,
      0.011825254352122724,
      0.01153993837379672,
      0.011259369453858616,
      0.010983468571429981,
      0.010712158050663211,
      0.010445361472184677,
      0.010183003786300516,
      0.00992501110741143,
      0.009671310824868827,
      0.009421831477316973,
      0.009176502866655693,
      0.008935255878067976,
      0.008698022609620956,
      0.008464736353959003,
      0.008235331298156104,
      0.00800974297196558,
      0.007787907835551939,
      0.007569763475584585,
      0.007355248519308269,
      0.0071443025463248985,
      0.006936866201511374,
      0.006732881051019208,
      0.006532289620161448,
      0.006335035435108639,
      0.0061410630109984005,
      0.00595031783162001,
      0.005762746116245542,
      0.005578294983828259,
      0.005396912589049127,
      0.005218547912359435,
      0.005043150731696105,
      0.004870671736968992,
      0.004701062298252618,
      0.004534274707560621,
      0.004370261953361397,
      0.004208977962503489,
      0.0040503773045678145,
      0.003894415325399257,
      0.0037410480736080995,
      0.0035902324523475154,
      0.0034419260121759197,
      0.003296086949642833,
      0.0031526742486695596,
      0.003011647519451943,
      0.002872967049875518,
      0.002736593802302113,
      0.0026024893748679383,
      0.0024706160096370764,
      0.002340936609984332,
      0.002213414683677539,
      0.002088014378151875,
      0.0019647004221817954,
      0.0018434380575175302,
      0.0017241931250929824,
      0.0016069321980746898,
      0.0014916221068711974,
      0.0013782304773273654,
      0.0012667253998462468,
      0.0011570753739537994,
      0.0010492496174451423,
      0.0009432178181326125,
      0.0008389501039851487,
      0.0007364171103122527,
      0.000635590017078925,
      0.0005364403277703957,
      0.0004389401964762218,
      0.0003430622037705337,
      0.0002487793830264729,
      0.00015606514609363306,
      6.489330610905305e-05,
      -2.476168785515264e-05,
      -0.00011292506769879261,
      -0.00019962167975491076,
      -0.00028487586607509985,
      -0.0003687117193299842,
      -0.0004511527888969559,
      -0.0005322222753732336,
      -0.0006119430262922482,
      -0.0006903374666306745,
      -0.0007674276232595627,
      -0.0008432352242328855,
      -0.0009177816248862184,
      -0.000991087790044626,
      -0.0010631743509459453,
      -0.001134061546170423,
      -0.001203769371158013,
      -0.0012723174212126058,
      -0.0013397251084513754,
      -0.0014060112610012226,
      -0.001471194642087594,
      -0.0015352936101706723,
      -0.0015983261468045214,
      -0.0016603098441395473,
      -0.0017212622924215413,
      -0.0017812007097680995,
      -0.0018401420227388914,
      -0.0018981027355142684,
      -0.0019550991092469857,
      -0.0020111471940884138,
      -0.0020662628029664894,
      -0.002120461452982454,
      -0.0021737583053594023,
      -0.002226168505075698,
      -0.0022777068648191004,
      -0.002328387687779448,
      -0.002378225288330698,
      -0.0024272336854049247,
      -0.002475426734012786,
      -0.0025228181096719235,
      -0.0025694210185550586,
      -0.00261524859292578,
      -0.0026603136881302963,
      -0.002704629015735719,
      -0.00274820714906778,
      -0.0027910601908126397,
      -0.002833200195883369,
      -0.0028746392058801606,
      -0.0029153888640064993,
      -0.0029554605560609473,
      -0.0029948655123900906,
      -0.00303361492215079,
      -0.0030717196589133836,
      -0.003109190425231618,
      -0.0031460378647291194,
      -0.0031822722856984995,
      -0.0032179039116081256,
      -0.003252942634787094,
      -0.0032873984371520446,
      -0.0033212810348773876,
      -0.0033545999294061803,
      -0.0033873645082081513,
      -0.003419583922555973,
      -0.003451267231835875,
      -0.0034824234897714995,
      -0.003513061449324415,
      -0.003543189654299923,
      -0.0035728166445808777,
      -0.0036019507351761552,
      -0.0036306001189727087,
      -0.0036587728479119627,
      -0.0036864768137627717,
      -0.003713719817310542,
      -0.0037405095288960822,
      -0.0037668535503610915,
      -0.00379275929867022,
      -0.0038182339967325145,
      -0.003843284854553632,
      -0.0038679189702184283,
      -0.003892143237010692,
      -0.003915964535802037
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334418814147075,
      10.092523088031983,
      9.843894776420585,
      9.591405417026376,
      9.337641141356901,
      9.084825933836402,
      8.834810114092825,
      8.589060484083404,
      8.348654523534659,
      8.11430302336481,
      7.886388102069891,
      7.66501154610058,
      7.45004880989276,
      7.241204159444343,
      7.038063281368254,
      6.840140821059149,
      6.6469214336982185,
      6.457893846777134,
      6.272578076046382,
      6.090546291619068,
      5.91143389059443,
      5.734937329988097,
      5.560818136511477,
      5.38892076378531,
      5.219165037945954,
      5.051535512566741,
      4.886102333946814,
      4.723055655807593,
      4.562671923900504,
      4.405260187052019,
      4.251154437809638,
      4.100723528413439,
      3.954353995434142,
      3.8124195759254595,
      3.675269233049871,
      3.543215097983596,
      3.4165225879490286,
      3.2954041325257,
      3.180015479281388,
      3.0704484168314083,
      2.9667180147163514,
      2.868768094838241,
      2.776462411643143,
      2.689580325763519,
      2.6078651913278956,
      2.5310610408040652,
      2.4588997236600463,
      2.3911139868292386,
      2.3274366267891793,
      2.2675818328698196,
      2.211198624140465,
      2.1579124197234254,
      2.1073882715080896,
      2.059301125009902,
      2.013356769037843,
      1.9693048024561395,
      1.926945553394117,
      1.8861098219556476,
      1.8466580079370354,
      1.808474161417096,
      1.7714537711354266,
      1.7355115287388363,
      1.7005780992325443,
      1.6665955597820084,
      1.6335146249099837,
      1.6012922658151725,
      1.5698903033609466,
      1.539277697991524,
      1.509428733386699,
      1.4803186188938922,
      1.4519226018079152,
      1.4242162801101366,
      1.3971758548395912,
      1.370777115558282,
      1.3449962719074484,
      1.3198112112531195,
      1.2952012122056422,
      1.2711468708917217,
      1.2476300484308858,
      1.2246334924863091,
      1.2021407286483043,
      1.1801360155873923,
      1.158604304173974,
      1.1375316814733996,
      1.1169057767316646,
      1.096714774947621,
      1.0769474020760557,
      1.0575923929758337,
      1.0386385764794703,
      1.02007499712458,
      1.0018909870522086,
      0.9840762036152668,
      0.9666206475226498,
      0.9495146673522786,
      0.932748955924197,
      0.916314542572797,
      0.9002027824320904,
      0.8844053441345279,
      0.8689141973549688,
      0.8537215996330436,
      0.8388200836723018,
      0.824202445131619,
      0.8098617307605163,
      0.7957912270511588,
      0.7819844493901912,
      0.7684351316084348,
      0.7551372160721269,
      0.7420848451400635,
      0.7292723517502065,
      0.7166942509883472,
      0.7043452324225924,
      0.6922201527559163,
      0.6803140285457138,
      0.6686220292672811,
      0.6571394714026957,
      0.6458618117876197,
      0.6347846423891303,
      0.6239036843081042,
      0.6132147828645039,
      0.6027138913047894,
      0.5923970228753909,
      0.5822603027424466,
      0.5722999883751624,
      0.5625124557044444,
      0.5528941892988986,
      0.5434421095534143,
      0.5341539415921238,
      0.525027235425373,
      0.5160592991700029,
      0.5072473169448135,
      0.498588422148971,
      0.4900797431784254,
      0.4817184308659048,
      0.47350167524176745,
      0.4654267157694042,
      0.45749084674362983,
      0.44969141949841945,
      0.44202584382131116,
      0.43449158753353184,
      0.42708617583364183,
      0.4198074270474608,
      0.41265336292553706,
      0.40562191147767396,
      0.3987109491309966,
      0.3919183382281558,
      0.3852419494882929,
      0.3786796760882257,
      0.3722294421736303,
      0.36588920734552965,
      0.3596569691850998,
      0.35353085295689485,
      0.3475091173806192,
      0.34159000063640654,
      0.33577172708732833,
      0.3300525260516557,
      0.32443064365663427,
      0.31890434933859424,
      0.3134719400490978,
      0.30813175497057216,
      0.3028821939515914,
      0.29772167769246993,
      0.2926486446121795,
      0.28766155559231904,
      0.28275889689870853,
      0.27793918122015415,
      0.273200948245802,
      0.26854276511951974,
      0.26396322616720386,
      0.2594609526005659,
      0.25503451881257905,
      0.2506823428442423,
      0.2464029279020076,
      0.2421948827931401,
      0.238056891928452,
      0.23398769604050135,
      0.2299860797323472,
      0.22605086302721805,
      0.2221808961407232,
      0.21837535725100418,
      0.21463361933436903,
      0.2109548954753661,
      0.20733829670359186,
      0.20378287553094238,
      0.20028765403807758,
      0.19685164164276533,
      0.19347379962111444,
      0.19015302053725,
      0.18688824020328626,
      0.18367844388205928,
      0.18052265439932713,
      0.17741992441666876,
      0.17436933159011514,
      0.1713699752999182,
      0.1684209743425684,
      0.16552146545041552,
      0.16267060201033015,
      0.15986755349440124,
      0.1571115045436305,
      0.15440165485552693,
      0.15173721843040863,
      0.149117423429343,
      0.14654151159234233,
      0.1440087382228178,
      0.14151837167470377,
      0.13906969323931806,
      0.13666199680787694,
      0.13429458870418842,
      0.13196678741359277,
      0.12967792323946958,
      0.12742733812863702,
      0.12521438551892122,
      0.12303843010673922,
      0.12089884770071072,
      0.1187950247784533,
      0.11672635846469052,
      0.11469225634556142,
      0.11269213618271175,
      0.1107254259139153,
      0.10879156327968745,
      0.10688999563421488,
      0.10502017981276585,
      0.10318158204973824,
      0.10137367769210384,
      0.0995959510322079,
      0.09784789521504428,
      0.09612901206079558,
      0.09443881190991364,
      0.09277681352343727,
      0.09114254376955151,
      0.08953553766926045,
      0.08795533801796085,
      0.0864014955911409,
      0.08487356869041739,
      0.08337112307847952,
      0.08189373201054721,
      0.08044097588122898,
      0.07901244221213732,
      0.07760772556571775,
      0.07622642731272705,
      0.07486815559862513,
      0.07353252531863495,
      0.07221915773210005,
      0.07092768045910608,
      0.06965772745880333,
      0.06840893890980662,
      0.06718096108781539,
      0.06597344613187436,
      0.06478605210896775,
      0.0636184428262857,
      0.06247028771594652,
      0.06134126189602475,
      0.06023104585512627,
      0.05913932549392957,
      0.05806579196384544,
      0.05701014166881664,
      0.055972076136711894,
      0.05495130181141067,
      0.053947530133623266,
      0.05296047725222429,
      0.05198986422097147,
      0.05103541679999882,
      0.05009686524927045,
      0.04917394438143415,
      0.04826639346246194,
      0.04737395614550895,
      0.04649638044665153,
      0.04563341842838523,
      0.044784826404831765,
      0.04395036475188733,
      0.04312979792429344,
      0.042322894227108256,
      0.04152942591997696,
      0.040749168986639786,
      0.039981903185759456,
      0.03922741212573984,
      0.038485482835652056,
      0.03775590590943982,
      0.03703847549787205,
      0.03633298919360153,
      0.03563924794852815,
      0.03495705605460426,
      0.03428622116331175,
      0.03362655395521738,
      0.032977868387483185,
      0.03233998157848983,
      0.03171271361576304,
      0.031095887604389843,
      0.03048932959950041,
      0.029892868544127392,
      0.029306336256345173,
      0.028729567351138505,
      0.02816239910922107,
      0.027604671808229862,
      0.02705622816836871,
      0.02651691347532855,
      0.025986575732626766,
      0.025465065372199912,
      0.02495223552221698,
      0.024447941674045043,
      0.0239520417469132,
      0.023464395837136765,
      0.022984866504194616,
      0.022513318569820966,
      0.022049619110561934,
      0.02159363752915653,
      0.021145245316745657,
      0.02070431613505603,
      0.02027072574135775,
      0.01984435195370468,
      0.01942507463677878,
      0.019012775619389216,
      0.018607338689610526,
      0.018208649648501246,
      0.01781659608514867,
      0.017431067553447605,
      0.017051955450945695,
      0.016679152981417703,
      0.01631255507336429,
      0.01595205843275018,
      0.015597561468856566,
      0.015248964385840905,
      0.014906169007837618,
      0.014569078705935207,
      0.01423759846446128,
      0.013911634928457364,
      0.013591096241103886,
      0.013275892224321783,
      0.012965933974298577,
      0.01266113425715364,
      0.012361407141204045,
      0.01206666822008111,
      0.011776834465892744,
      0.011491824247199637,
      0.011211557428009965,
      0.0109359548879409,
      0.010664938945788304,
      0.010398433326758499,
      0.010136363003163885,
      0.009878654173838585,
      0.009625234152484598,
      0.009376031521574662,
      0.009130976138473322,
      0.008889999031869015,
      0.008653032258423806,
      0.008420009075208438,
      0.008190863906638264,
      0.007965532220972807,
      0.007743950487014994,
      0.007526056331735073,
      0.007311788263878261,
      0.007101086068845717,
      0.0068938903940393755,
      0.00669014283414801,
      0.006489786045568243,
      0.006292763546684166,
      0.006099019896913515,
      0.005908500574655118,
      0.005721151845956713,
      0.005536920909922738,
      0.005355755920515477,
      0.0051776057828814195,
      0.0050024203791065374,
      0.004830150390626936,
      0.004660747333738099,
      0.0044941634454384784,
      0.004330351763289397,
      0.004169266220938634,
      0.0040108614227721915,
      0.0038550928283240696,
      0.0037019163991193656,
      0.0035512891324009917,
      0.0034031685164308697,
      0.0032575128539102842,
      0.003114281276200111,
      0.0029734333856636422,
      0.0028349294980228386,
      0.0026987304863789483,
      0.0025647980285306215,
      0.002433094456444168,
      0.0023035825511573543,
      0.0021762258738141464,
      0.0020509887434784235,
      0.0019278357215744828,
      0.0018067321792380408,
      0.0016876439764566711,
      0.0015705376337607822,
      0.0014553801305541231,
      0.001342139068271254,
      0.001230782517772324,
      0.0011212791228180706,
      0.0010135980724927584,
      0.0009077089547728501,
      0.0008035819361138139,
      0.0007011877907710674,
      0.0006004977731591791,
      0.000501483473323485,
      0.0004041169278857377,
      0.000308370733112441,
      0.000214217956325539,
      0.0001216320109462272,
      3.0586876795755624e-05,
      -5.894314853408368e-05,
      -0.00014698329606463022,
      -0.00023355826546675836,
      -0.0003186925256742027,
      -0.0004024100355068859,
      -0.0004847342869243766,
      -0.0005656885053487673,
      -0.0006452954928408433,
      -0.0007235776602185018,
      -0.0008005571342870933,
      -0.0008762555583611728,
      -0.0009506941200534446,
      -0.0010238939206330192,
      -0.0010958755871492147,
      -0.0011666593853037824,
      -0.001236265152544392,
      -0.0013047126179328709,
      -0.0013720209895309225,
      -0.0014382091889135373,
      -0.0015032959191791082,
      -0.0015672995792918865,
      -0.001630238190016993,
      -0.00169212940738269,
      -0.0017529906237371033,
      -0.0018128389535912363,
      -0.0018716913069545952,
      -0.0019295641758179138,
      -0.0019864739598784826,
      -0.002042436693636925,
      -0.002097468039376675,
      -0.002151583641427847,
      -0.0022047987167722522,
      -0.0022571281846319913,
      -0.0023085868143037916,
      -0.0023591891111140466,
      -0.0024089492846363523,
      -0.0024578814061335897,
      -0.0025059993111376188,
      -0.0025533164182191623,
      -0.0025998460809064047,
      -0.002645601360141083,
      -0.002690595120028886,
      -0.0027348400401736857,
      -0.002778348678293731,
      -0.002821133328540734,
      -0.0028632059489389575,
      -0.002904578494736485,
      -0.0029452625707924165,
      -0.002985269534439759,
      -0.003024610629117744,
      -0.003063296996800065,
      -0.0031013395243406823,
      -0.003138749019909918,
      -0.0031755360010819115,
      -0.0032117107232229316,
      -0.0032472834170997333,
      -0.0032822641253717824,
      -0.0033166626720883847,
      -0.0033504888031782695,
      -0.0033837519635894213,
      -0.003416461506515897,
      -0.0034486266597869896,
      -0.003480256543253132,
      -0.0035113601281634007,
      -0.00354194615146325,
      -0.003572023201085654,
      -0.0036015997306357932,
      -0.0036306840096291984,
      -0.003659284270854847,
      -0.0036874084751468447,
      -0.003715064635430382,
      -0.0037422606064797313,
      -0.0037690039630006405,
      -0.003795302277541308,
      -0.003821162978437036,
      -0.0038465933534315108,
      -0.0038716006038915706,
      -0.0038961917266991104,
      -0.003920373605329747,
      -0.003944153100471689
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334414583520267,
      10.092509585824681,
      9.843867086404112,
      9.591358771715019,
      9.337571857434826,
      9.084731475250686,
      8.834688965908954,
      8.588911862187608,
      8.348478122248581,
      8.11409885331579,
      7.886156361734266,
      7.664752522364976,
      7.449762814303748,
      7.240891492468968,
      7.03772422078473,
      6.8397756306375,
      6.646530385862309,
      6.457477254210822,
      6.272136328877834,
      6.090079904024838,
      5.910943633034463,
      5.734424255453228,
      5.560283534005391,
      5.38836615188056,
      5.218592085345076,
      5.050946059152173,
      4.885498655036764,
      4.722440925598667,
      4.562049619000969,
      4.404633815632052,
      4.250527447919856,
      4.100099548595933,
      3.953736630857862,
      3.811812222161904,
      3.674675015211687,
      3.5426368315937307,
      3.415962736433566,
      3.294864777956544,
      3.1794983125612775,
      3.069954608035749,
      2.9662481830913467,
      2.868322273694473,
      2.7760400366299125,
      2.689180229791928,
      2.607486020732523,
      2.530701273739575,
      2.458557729835111,
      2.390788073442253,
      2.3271250612962535,
      2.267282792958413,
      2.210909755935558,
      2.157631573513969,
      2.1071134435507948,
      2.0590304088372187,
      2.0130886140079656,
      1.969038062516243,
      1.9266793791056185,
      1.8858435818465376,
      1.8463912551938297,
      1.8082064712663943,
      1.7711848114477795,
      1.7352410833989071,
      1.700306031939186,
      1.6663217895270677,
      1.6332390067427733,
      1.6010146717379665,
      1.5696107474944656,
      1.5389965642039487,
      1.509146393403518,
      1.4800353351243853,
      1.4516385561082652,
      1.4239316007216496,
      1.3968906509851524,
      1.370491495790494,
      1.3447103147632824,
      1.3195249751238867,
      1.2949147537922652,
      1.2708603420535753,
      1.2473435912930593,
      1.2243472041544103,
      1.201854677560712,
      1.17985025218676,
      1.1583188673276315,
      1.1372466206893355,
      1.1166211377024347,
      1.0964306039559644,
      1.0766637395029122,
      1.0573092716235843,
      1.0383560234795104,
      1.0197930360751672,
      1.0016096393204572,
      0.9837954894151395,
      0.9663405863136956,
      0.9492352780174519,
      0.9324702570327068,
      0.916036552473603,
      0.8999255192302711,
      0.8841288258045621,
      0.868638441839078,
      0.8534466246705437,
      0.8385459072251373,
      0.8239290847789005,
      0.8095892037915211,
      0.7955195505184836,
      0.7817136403022821,
      0.7681652064478416,
      0.754868191699723,
      0.7418167380854239,
      0.7290051780751127,
      0.7164280267224785,
      0.7040799733266079,
      0.6919558743277998,
      0.6800507459139713,
      0.6683597573787833,
      0.656878224690369,
      0.6456016045401393,
      0.6345254886020818,
      0.6236455976515534,
      0.6129577767178809,
      0.602457978426034,
      0.5921422150848228,
      0.5820066118174816,
      0.5720474262237084,
      0.562261034047995,
      0.5526439194495547,
      0.5431930826026086,
      0.5339062504773378,
      0.5247809399472029,
      0.5158144383760102,
      0.5070039165551172,
      0.4983464994128316,
      0.48983930966099876,
      0.48147949442036486,
      0.4732642415053116,
      0.4651907889584103,
      0.457256429827688,
      0.44945851464391073,
      0.44179445259754496,
      0.434261711136904,
      0.426857815127361,
      0.4195806053145538,
      0.41242810366175475,
      0.4053982284015866,
      0.39848884996473,
      0.39169782679904375,
      0.3850230269729488,
      0.3784623420901441,
      0.37201369528250405,
      0.36567504528174083,
      0.35944438919185745,
      0.3533198610661927,
      0.3472997193881619,
      0.34138219846985024,
      0.335565519912488,
      0.32984791137857833,
      0.3242276176601051,
      0.31870290743812574,
      0.31327207729265966,
      0.30793346769879243,
      0.30268547819445385,
      0.29752652853017736,
      0.292455056483103,
      0.28746952263480086,
      0.2825684127678185,
      0.27775023924362485,
      0.2730135417296468,
      0.2683568871552396,
      0.2637788695504817,
      0.25927810989967803,
      0.25485318770110726,
      0.250502521375166,
      0.24622461209832172,
      0.24201806726882885,
      0.23788157037515958,
      0.2338138616075128,
      0.22981372509775513,
      0.22587998063159662,
      0.22201147817627817,
      0.21820738717646804,
      0.21446707994531503,
      0.21078977283274136,
      0.20717457875853162,
      0.20362055150593647,
      0.20012671387579387,
      0.19669207573619102,
      0.19331559495723255,
      0.18999616393816848,
      0.18673272034342236,
      0.18352425039901435,
      0.18036977744034005,
      0.17726835456774132,
      0.17421905974247714,
      0.17122099253604725,
      0.1682732718666616,
      0.16537503430876202,
      0.1625254333131741,
      0.15972363828710714,
      0.1569688340083107,
      0.15426022003501608,
      0.15159701049247762,
      0.14897843331306806,
      0.14640373034736387,
      0.14387215680690588,
      0.1413829810693059,
      0.1389354844370955,
      0.13652896085719735,
      0.13416271673458507,
      0.13183607024083552,
      0.1295483516566258,
      0.1272989030817399,
      0.12508707807290687,
      0.1229122412083517,
      0.12077376812486257,
      0.1186710454807998,
      0.11660347053385844,
      0.11457045074554977,
      0.11257140392085181,
      0.11060575792256996,
      0.10867295048814835,
      0.10677242902760026,
      0.10490365031919226,
      0.10306608066252379,
      0.10125919543269744,
      0.09948247890054684,
      0.09773542433050374,
      0.09601753357400751,
      0.09432831700435551,
      0.09266729335263647,
      0.09103398948345398,
      0.08942794045287714,
      0.08784868921295134,
      0.08629578645514208,
      0.0847687905344805,
      0.0832672673029115,
      0.08179078996556839,
      0.08033893895684437,
      0.07891130186428844,
      0.07750747326284273,
      0.07612705454915904,
      0.07476965394979357,
      0.07343488621259431,
      0.07212237279987924,
      0.07083174138607647,
      0.0695626260463084,
      0.06831466690165888,
      0.0670875102161961,
      0.06588080827737323,
      0.06469421916845215,
      0.06352740675264551,
      0.062380040538965925,
      0.06125179566705542,
      0.0601423527604334,
      0.05905139772334444,
      0.057978621722990786,
      0.05692372120680798,
      0.055886397748656655,
      0.05486635780611912,
      0.05386331293825171,
      0.05287697930392605,
      0.05190707802084915,
      0.05095333478903893,
      0.05001548000878779,
      0.04909324851230146,
      0.048186379719418054,
      0.04729461739654898,
      0.04641770944221763,
      0.04555540807597209,
      0.0447074696397352,
      0.0438736545994804,
      0.04305372736486212,
      0.04224745628042354,
      0.04145461363750366,
      0.04067497565690241,
      0.039908322149483144,
      0.039154436591205884,
      0.03841310615165417,
      0.037684121545760965,
      0.036967276867490934,
      0.0362623698563951,
      0.035569201446154455,
      0.03488757600029374,
      0.03421730126158533,
      0.03355818801567425,
      0.03291005022446152,
      0.03227270501902469,
      0.031645972532893016,
      0.031029675880578166,
      0.030423641172960966,
      0.029827697468029116,
      0.029241676656545562,
      0.02866541342877503,
      0.028098745175544823,
      0.027541512020666688,
      0.026993556800486273,
      0.026454725047319164,
      0.025924864754347653,
      0.02540382637304648,
      0.024891462908704486,
      0.024387629975318258,
      0.02389218552338845,
      0.023404989824738445,
      0.022925905511114307,
      0.02245479736082137,
      0.021991532494797933,
      0.02153598040992386,
      0.021088012576042175,
      0.020647502702740964,
      0.02021432658165653,
      0.019788362179291242,
      0.019369489330576306,
      0.018957589961666604,
      0.018552547850062807,
      0.018154248837334117,
      0.017762580757022205,
      0.017377433167104994,
      0.016998697508827605,
      0.01662626698012298,
      0.016260036562442005,
      0.015899902933601575,
      0.015545764552635531,
      0.015197521630750027,
      0.014855076121829524,
      0.014518331484259218,
      0.014187192658923327,
      0.013861566345261742,
      0.01354136085165295,
      0.013226485856806093,
      0.01291685262186676,
      0.01261237396020812,
      0.012312964003931367,
      0.012018538318835639,
      0.011729013929338694,
      0.01144430913919165,
      0.011164343802201512,
      0.010889039052113558,
      0.010618317307529011,
      0.010352102163104431,
      0.010090318649689149,
      0.00983289296560632,
      0.009579752683378084,
      0.009330826350925471,
      0.009086043790289672,
      0.008845336108514899,
      0.008608635484522842,
      0.008375875125725293,
      0.008146989400363175,
      0.007921913917178863,
      0.007700585126130522,
      0.00748294059106249,
      0.007268919094342369,
      0.007058460364777356,
      0.00685150498769296,
      0.006647994693119146,
      0.006447872184483754,
      0.006251081091776309,
      0.006057565845876698,
      0.00586727196932497,
      0.005680145830693824,
      0.005496134656742554,
      0.005315186586107051,
      0.00513725062480863,
      0.004962276655991056,
      0.0047902154086128974,
      0.0046210183595057405,
      0.004454637943806722,
      0.004291027138973787,
      0.004130139833842519,
      0.003971930711228227,
      0.003816355184440437,
      0.0036633694515129183,
      0.0035129303293553195,
      0.0033649954534312556,
      0.0032195231176270914,
      0.0030764723586647748,
      0.0029358028462922975,
      0.002797474934938465,
      0.002661449666837166,
      0.0025276887975870573,
      0.002396154531274061,
      0.0022668097537564746,
      0.0021396180652575878,
      0.0020145436501457464,
      0.0018915513460551732,
      0.0017706064616229316,
      0.001651674900929199,
      0.0015347231314840571,
      0.001419718141672018,
      0.0013066275337463497,
      0.001195419466569476,
      0.001086062594302361,
      0.000978526070613626,
      0.000872779612025514,
      0.0007687934807461038,
      0.0006665382533851907,
      0.0005659851636659002,
      0.00046710591932041796,
      0.00036987262929530465,
      0.00027425793592341584,
      0.0001802348565771532,
      8.777687497968905e-05,
      -3.142022872044514e-06,
      -9.254743174703558e-05,
      -0.00018046455778259038,
      -0.0002669181011444331,
      -0.000351932461135257,
      -0.00043553166019918776,
      -0.0005177392346352903,
      -0.0005985784352922216,
      -0.0006780719497730295,
      -0.0007562422078384134,
      -0.0008331111831132964,
      -0.0009087005685665303,
      -0.0009830317088963382,
      -0.0010561255253450654,
      -0.0011280026679228498,
      -0.0011986833607461479,
      -0.0012681874690753546,
      -0.0013365345645318845,
      -0.0014037439509221887,
      -0.0014698345619644053,
      -0.0015348250357166053,
      -0.001598733704874639,
      -0.0016615784524839682,
      -0.0017233770241368567,
      -0.0017841468874711154,
      -0.0018439052308517523,
      -0.0019026688462513387,
      -0.0019604542971571985,
      -0.002017277805444047,
      -0.002073155391366778,
      -0.0021281027709083365,
      -0.0021821354241335056,
      -0.0022352686494141547,
      -0.0022875174390428344,
      -0.0023388964681109233,
      -0.0023894202221572264,
      -0.002439102920449435,
      -0.0024879585780947884,
      -0.002536000940194841,
      -0.0025832435614033026,
      -0.0026296997253830072,
      -0.0026753826434823664,
      -0.002720305092865255,
      -0.00276447972764651,
      -0.0028079189822376185,
      -0.002850635120093463,
      -0.002892640205689602,
      -0.0029339461072142854,
      -0.0029745644412466484,
      -0.0030145066951529874,
      -0.003053784030025571,
      -0.0030924075473150294,
      -0.003130388122532227,
      -0.003167736403302388,
      -0.0032044629085265916,
      -0.0032405780569957307,
      -0.003276092080841951,
      -0.0033110149387379686,
      -0.0033453564502868667,
      -0.00337912630910474,
      -0.0034123340446127323,
      -0.003444989027705892,
      -0.0034771004120343557,
      -0.0035086771890183817,
      -0.00353972826768059,
      -0.003570262458766562,
      -0.0036002884329299047,
      -0.0036298146340310333,
      -0.003658849401268684,
      -0.0036874009001179667,
      -0.003715477039974933,
      -0.0037430858168597514,
      -0.0037702349693879743,
      -0.003796932168315479,
      -0.0038231849577117214,
      -0.0038490007270485086,
      -0.003874386765824492,
      -0.003899350133120734,
      -0.003923897971572227,
      -0.003948037166351421,
      -0.0039717746270216125
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334410352486424,
      10.092496082906814,
      9.84383939735767,
      9.591312131214233,
      9.337502586359536,
      9.084637042471194,
      8.834567855734809,
      8.588763291341522,
      8.348301786711517,
      8.11389476529255,
      7.885924718293387,
      7.664493610833894,
      7.449476947226097,
      7.240578970472452,
      7.037385320492988,
      6.839410615359723,
      6.6461395271615284,
      6.45706086408266,
      6.271694799183209,
      6.089613750971763,
      5.91045362860709,
      5.7339114552837485,
      5.559749219346072,
      5.387811835963612,
      5.218019441029801,
      5.050356930471154,
      4.884895320842585,
      4.721826561620353,
      4.561427704048566,
      4.4040078587348575,
      4.249900897994954,
      4.099476034385449,
      3.953119756913272,
      3.811205382289683,
      3.6740813332332944,
      3.542059120402079,
      3.415403456642516,
      3.294326008697674,
      3.1789817355270684,
      3.0694613850287915,
      2.965778931306596,
      2.8678770085915537,
      2.7756181812842367,
      2.688780590370311,
      2.607107255203021,
      2.530341870043058,
      2.4582160657807535,
      2.3904624632237135,
      2.326813778550846,
      2.266984006717088,
      2.2106211060350396,
      2.157350920121393,
      2.1068387915455062,
      2.0587598585177633,
      2.012820619398777,
      1.968771482278132,
      1.9264133668600634,
      1.8855775085893058,
      1.8461246754499943,
      1.807938960826743,
      1.77091603916803,
      1.7349708332989195,
      1.7000341682250824,
      1.6660482315628629,
      1.632963610274041,
      1.6007373092293826,
      1.5693314329409311,
      1.5387156824910595,
      1.5088643165382403,
      1.4797523256239584,
      1.4513547958167667,
      1.4236472186151945,
      1.396605756804603,
      1.3702061977814088,
      1.3444246903324328,
      1.3192390823887914,
      1.294628695712076,
      1.270574290650658,
      1.2470576624885803,
      1.2240614786227122,
      1.2015692130486384,
      1.1795650923434289,
      1.1580340462861731,
      1.13696218476829,
      1.1163371303854162,
      1.096147070954591,
      1.0763807212469945,
      1.0570267999044936,
      1.0380741251361323,
      1.0195117349777203,
      1.0013289570617954,
      0.9835154461856481,
      0.9660612012484219,
      0.9489565699321465,
      0.9321922443804087,
      0.915759253285039,
      0.8996489515465502,
      0.8838530077387876,
      0.8683633912163778,
      0.8531723592128522,
      0.8382724443144192,
      0.8236564417146186,
      0.8093173980853348,
      0.7952485996169891,
      0.7814435611438569,
      0.7678960159723016,
      0.7545999062779655,
      0.7415493737490272,
      0.7287387511662499,
      0.7161625531338398,
      0.7038154689001275,
      0.6916923547331819,
      0.6797882262873789,
      0.6680982523066371,
      0.6566177486133625,
      0.6453421717408239,
      0.634267112800467,
      0.6233882923536178,
      0.612701555299998,
      0.60220285382924,
      0.5918881995239611,
      0.5817537172950065,
      0.5717956641183157,
      0.5620104157118551,
      0.5523944562124183,
      0.5429448654764637,
      0.5336593722733769,
      0.5245354606734247,
      0.5155703971132866,
      0.5067613390858708,
      0.49810540282288646,
      0.48959970537944836,
      0.4812413904459272,
      0.47302764362221467,
      0.46495570115025925,
      0.4570228550351219,
      0.44922645518219473,
      0.4415639100833283,
      0.434032686584948,
      0.426630318373539,
      0.4193546633065015,
      0.4122037346737351,
      0.4051754430924892,
      0.398267654079108,
      0.39147822285441103,
      0.38480501552439783,
      0.378245922118346,
      0.3717988646997747,
      0.36546180140433204,
      0.3592327290539862,
      0.3531097907359201,
      0.3470912446750338,
      0.34117532097485653,
      0.33536023880716,
      0.32964422410326655,
      0.324025520397028,
      0.31850239565318933,
      0.31307314573693223,
      0.30773611273309653,
      0.30248969590627023,
      0.29733231391600384,
      0.29226240395970415,
      0.28727842616433225,
      0.28237886596615025,
      0.2775622354982042,
      0.2728270741230093,
      0.2681719485764091,
      0.2635954529694297,
      0.2590962080036301,
      0.25467279844348256,
      0.2503236428815149,
      0.24604724030829545,
      0.2418421967727574,
      0.2377071948753072,
      0.23364097424689909,
      0.22964231856933404,
      0.22571004742423562,
      0.2218430106152952,
      0.21804036851904163,
      0.2143014928822344,
      0.21062560328935287,
      0.2070118146969339,
      0.20345918203911956,
      0.19996672900818388,
      0.1965334659795911,
      0.19315834705477608,
      0.18984026484272928,
      0.1865781585479357,
      0.18337101547917659,
      0.1802178596134526,
      0.17711774452034706,
      0.17406974838876865,
      0.17107297083389642,
      0.1681265308749833,
      0.16522956523161864,
      0.1623812272384825,
      0.15958068634423553,
      0.1568271272961126,
      0.15411974968925268,
      0.15145776756821142,
      0.1488404088636902,
      0.14626691538190795,
      0.14373654231062613,
      0.14124855801063615,
      0.1388022437362324,
      0.13639689341775452,
      0.13403181325795335,
      0.1317063217779097,
      0.12941974924406438,
      0.1271714376579521,
      0.12496074041860054,
      0.12278702224893867,
      0.12064965888293112,
      0.11854803687623007,
      0.11648155331019917,
      0.11444961589212256,
      0.11245164239524298,
      0.11048706064016624,
      0.10855530850223315,
      0.10665583332132336,
      0.10478809189649539,
      0.10295155053043853,
      0.10114568459001279,
      0.09936997854239356,
      0.09762392546821218,
      0.09590702720144098,
      0.09421879423814268,
      0.09255874533762343,
      0.0909264073870122,
      0.0893213154911277,
      0.08774301261332776,
      0.0861910494220355,
      0.08466498433864672,
      0.08316438316105784,
      0.08168881922829367,
      0.08023787303608586,
      0.0788111321639604,
      0.07740819122730917,
      0.07602865177832077,
      0.07467212206635375,
      0.07333821687310131,
      0.07202655760975149,
      0.07073677205333923,
      0.06946849417902426,
      0.06822136440967412,
      0.06699502897544546,
      0.06578914003951589,
      0.06460335587034038,
      0.06343734040990597,
      0.06229076325436392,
      0.06116329946410805,
      0.06005462966475319,
      0.05896443975819983,
      0.057892421127356875,
      0.056838270208633655,
      0.055801688580322494,
      0.054782382814889286,
      0.05378006448083963,
      0.05279444985749047,
      0.05182526007807665,
      0.05087222089005163,
      0.04993506278594556,
      0.04901352074800936,
      0.04810733411802119,
      0.04721624653439113,
      0.04634000613037173,
      0.04547836509103409,
      0.04463107989972288,
      0.04379791113337454,
      0.042978623260520585,
      0.04217298478198533,
      0.04138076792860092,
      0.04060174885687607,
      0.039835707531734856,
      0.03908242743955992,
      0.038341695731238024,
      0.03761330312794492,
      0.0368970440284144,
      0.03619271600664496,
      0.03550012017450539,
      0.03481906096608816,
      0.034149346074812056,
      0.033490786479433585,
      0.032843196120149326,
      0.032206392107556256,
      0.03158019477226694,
      0.0309644272243134,
      0.03035891564226459,
      0.029763489039297833,
      0.029177979416147373,
      0.028602221524744658,
      0.028036052775556486,
      0.027479313524987857,
      0.026931846597226528,
      0.02639349744624026,
      0.0258641141238888,
      0.025343547169082766,
      0.02483164977398401,
      0.02432827748954501,
      0.023833288156530123,
      0.023346542182851385,
      0.022867902264244917,
      0.02239723338131818,
      0.02193440276098237,
      0.021479279821024166,
      0.021031736180623376,
      0.020591645571017635,
      0.020158883811846936,
      0.01973332873841104,
      0.019314860244773774,
      0.01890336038576396,
      0.018498713118770126,
      0.018100804249741146,
      0.017709521596369134,
      0.017324754752355294,
      0.016946395125376993,
      0.016574336077732642,
      0.016208472661078867,
      0.015848701656915532,
      0.015494921547127059,
      0.015147032567728558,
      0.014804936661583534,
      0.014468537233643592,
      0.01413773949122624,
      0.013812450186703806,
      0.013492577646564478,
      0.013178031538977196,
      0.012868723213139512,
      0.012564565383228848,
      0.012265472218835796,
      0.011971359434464908,
      0.011682144130753927,
      0.011397744787442718,
      0.011118081139298634,
      0.010843074308827834,
      0.010572646681304736,
      0.010306722051374409,
      0.010045225533933094,
      0.009788083270275461,
      0.009535222832013905,
      0.009286572892039095,
      0.009042063231143746,
      0.008801624971343411,
      0.008565190292972374,
      0.008332692492982458,
      0.008104066060447402,
      0.007879246502012792,
      0.007658170508858359,
      0.007440775720991176,
      0.007227000819525779,
      0.007016785540672688,
      0.006810070509226981,
      0.006606797425314532,
      0.0064069090583456926,
      0.006210349003149331,
      0.006017061859507184,
      0.005826993199243149,
      0.0056400894162039646,
      0.005456297738376599,
      0.005275566351830705,
      0.005097844337129632,
      0.004923081602926246,
      0.0047512288676433,
      0.004582237586948226,
      0.004416060214921159,
      0.004252649870833273,
      0.004091960460706852,
      0.003933946687259757,
      0.0037785639546834863,
      0.0036257685179008677,
      0.0034755173874218177,
      0.0033277680461264118,
      0.0031824788992915916,
      0.003039608882359393,
      0.00289911776439863,
      0.0027609659448940733,
      0.0026251144576969103,
      0.002491525053557394,
      0.0023601600053638635,
      0.002230982252654905,
      0.0021039553961341006,
      0.0019790436438122485,
      0.0018562118231230846,
      0.0017354252937982074,
      0.0016166500727260683,
      0.001499852522375018,
      0.00138499970856406,
      0.001272059341181287,
      0.001160999500991345,
      0.0010517889534357669,
      0.0009443968477285363,
      0.0008387929457251759,
      0.0007349473885897952,
      0.0006328309232737135,
      0.0005324147748253803,
      0.00043367063518813173,
      0.0003365706538758718,
      0.0002410874558403432,
      0.00014719409770500908,
      5.486426083895357e-05,
      -3.592816362885305e-05,
      -0.0001252088528648732,
      -0.00021300291770184437,
      -0.00029933514770578686,
      -0.0003842298284314925,
      -0.00046771100234904223,
      -0.0005498022385791936,
      -0.0006305265537958685,
      -0.0007099067189395081,
      -0.0007879650240055703,
      -0.0008647235693067906,
      -0.0009402040594707809,
      -0.0010144277360815044,
      -0.0010874156009944725,
      -0.001159188263449405,
      -0.0012297658364901073,
      -0.0012991682321191894,
      -0.001367415048816722,
      -0.001434525476550396,
      -0.001500518442241469,
      -0.0015654125376056483,
      -0.0016292261177161746,
      -0.0016919770740414025,
      -0.0017536830702002458,
      -0.0018143616556707276,
      -0.0018740299402003635,
      -0.0019327047376688628,
      -0.001990402523605164,
      -0.002047139538188994,
      -0.0021029318945928036,
      -0.002157795330537217,
      -0.0022117452190499936,
      -0.0022647968007313917,
      -0.00231696509085308,
      -0.002368264696734781,
      -0.0024187100724294064,
      -0.002468315390230355,
      -0.00251709472405834,
      -0.0025650618502202024,
      -0.0026122302823100335,
      -0.0026586133691023956,
      -0.002704224111170125,
      -0.0027490753013102646,
      -0.002793179650983151,
      -0.0028365497385378162,
      -0.002879197644863482,
      -0.0029211353573507896,
      -0.0029623748294786583,
      -0.003002927671595348,
      -0.0030428052346711566,
      -0.0030820188457558566,
      -0.0031205794960116246,
      -0.003158498100335219,
      -0.003195785298484368,
      -0.00323245161120834,
      -0.003268507386277712,
      -0.0033039628391318895,
      -0.003338827940209151,
      -0.00337311244130383,
      -0.0034068260794525265,
      -0.003439978341477198,
      -0.0034725786221392785,
      -0.0035046361465575996,
      -0.003536159872701695,
      -0.0035671586794193064,
      -0.003597641331329673,
      -0.003627616455807304,
      -0.003657092487883434,
      -0.0036860777542230675,
      -0.0037145803659000805,
      -0.0037426082757233093,
      -0.0037701694620541557,
      -0.0037972717502430184,
      -0.003823922792531594,
      -0.003850130053387906,
      -0.003875900985267651,
      -0.0039012428352206935,
      -0.00392616266058502,
      -0.003950667573071393,
      -0.0039747644165991,
      -0.003998460055230892
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334406125114178,
      10.092482592082131,
      9.843811729460585,
      9.591265518630825,
      9.337433346576873,
      9.084542639559091,
      8.834446772762117,
      8.588614742366683,
      8.348125466243742,
      8.113690683517298,
      7.885693072316544,
      7.664234686907275,
      7.449191055463387,
      7.240266410430007,
      7.037046371169389,
      6.839045540126917,
      6.645748598023986,
      6.456644393737785,
      6.271253179628153,
      6.089147498329286,
      5.909963515357124,
      5.733398536141064,
      5.559214766245556,
      5.387257354595669,
      5.217446607945319,
      5.049767592302279,
      4.884291903561935,
      4.721212229573205,
      4.560805919200705,
      4.403382117284474,
      4.249274636934416,
      4.098852869792865,
      3.952503281588186,
      3.810598980582578,
      3.6734881190563797,
      3.5414818982449274,
      3.41484467915373,
      3.2937877465327237,
      3.178465663097533,
      3.068968659151488,
      2.965310163303276,
      2.867432208601047,
      2.775196768232206,
      2.68838136672452,
      2.606728876785086,
      2.5299828226928365,
      2.4578747267877423,
      2.3901371461644194,
      2.326502756090314,
      2.2666854500743443,
      2.2103326600596693,
      2.157070448864092,
      2.1065643035769144,
      2.0584894580279176,
      2.012552764408337,
      1.968505033094701,
      1.9261474783777497,
      1.885311553662969,
      1.8458582101291792,
      1.8076715624190243,
      1.7706473772719642,
      1.7347006924860993,
      1.699762412704899,
      1.665774780509664,
      1.6326883523120046,
      1.6004601055584127,
      1.5690522963204678,
      1.538434990279635,
      1.5085824361343263,
      1.4794695161785156,
      1.4510712375083248,
      1.4233630386749385,
      1.3963210640129675,
      1.369921100258265,
      1.3441392658880316,
      1.3189533895645829,
      1.2943428878712795,
      1.2702885197792133,
      1.2467720321664184,
      1.2237760614539737,
      1.2012840621594063,
      1.1792802480191222,
      1.157749541006159,
      1.1366780633271558,
      1.116053435276666,
      1.0958638472789726,
      1.0760980087928065,
      1.0567446306541615,
      1.037792525527017,
      1.0192307281386304,
      1.0010485641631792,
      0.9832356872612164,
      0.9657820958462785,
      0.9486781366296203,
      0.9319145016551055,
      0.9154822197082371,
      0.8993726455551139,
      0.8835774474933574,
      0.8680885946477804,
      0.8528983441555011,
      0.8379992285233387,
      0.8233840429707743,
      0.8090458339313793,
      0.7949778873333986,
      0.7811737178645026,
      0.767627058838662,
      0.754331851969445,
      0.7412822390189701,
      0.7284725521449876,
      0.7158973057892828,
      0.7035511885194496,
      0.6914290565377483,
      0.6795259253749889,
      0.667836963786645,
      0.6563574869697266,
      0.6450829510987613,
      0.6340089471065338,
      0.6231311953176264,
      0.6124455401744638,
      0.6019479331535917,
      0.5916343852650715,
      0.5815010213593723,
      0.5715440983220553,
      0.5617599915897489,
      0.5521451849720026,
      0.5426968381088623,
      0.533412681466765,
      0.5242901662862295,
      0.5153265380495482,
      0.5065189407956504,
      0.4978644823098413,
      0.4893602742912063,
      0.4810034569191294,
      0.47279121332063057,
      0.4647207783139061,
      0.45678944260274146,
      0.4489945553106287,
      0.441333524302194,
      0.43380381609636814,
      0.42640297578951636,
      0.41912887655001485,
      0.41197952050987335,
      0.4049528113603087,
      0.3980466099321652,
      0.39125876821641836,
      0.38458715050403286,
      0.37802964582846454,
      0.3715841752035996,
      0.3652486961122889,
      0.359021204630532,
      0.35289985303739085,
      0.34688289965982627,
      0.3409685703974666,
      0.3351550817181874,
      0.3294406578778433,
      0.32382354141083414,
      0.31830199946859694,
      0.31287432738499854,
      0.30753886863173685,
      0.3022940220406731,
      0.29713820550413667,
      0.2920698555571549,
      0.2870874317009638,
      0.28218941893059035,
      0.2773743291819625,
      0.2726407016966962,
      0.2679871030359541,
      0.2634121270289667,
      0.2589143943543423,
      0.2544924935459961,
      0.25014484539193477,
      0.24586994654508515,
      0.2416664015679638,
      0.23753289225250226,
      0.2334681575099668,
      0.22947098048842715,
      0.22554018043114482,
      0.22167460707256068,
      0.21787341181536146,
      0.21413596556596665,
      0.21046149121238433,
      0.20684910584177055,
      0.20329786567116898,
      0.19980679513729013,
      0.19637490493762155,
      0.19300114574062127,
      0.18968441019203602,
      0.18642363914343266,
      0.18321782089016123,
      0.18006598014527525,
      0.17696717083862668,
      0.17392047138623962,
      0.1709249815098596,
      0.1679798202463341,
      0.16508412432579464,
      0.16223704728345928,
      0.15943775838567692,
      0.1566854424114089,
      0.1539792989911695,
      0.1513185420682067,
      0.14870239955678533,
      0.14613011329943768,
      0.14360093847715436,
      0.1411141434575864,
      0.13866900945777955,
      0.13626483032629771,
      0.13390091236141072,
      0.13157657400742037,
      0.12929114552852106,
      0.12704396887768804,
      0.12483439759401745,
      0.12266179628372535,
      0.1205255406820556,
      0.11842501738726374,
      0.11635962352629162,
      0.11432876667674945,
      0.11233186453532396,
      0.11036834508940681,
      0.10843764610284548,
      0.10653921502192656,
      0.10467250884896849,
      0.10283699378015022,
      0.10103214518548202,
      0.09925744752388266,
      0.09751239395130817,
      0.0957964863464758,
      0.09410923511776649,
      0.09245015905815869,
      0.09081878519096465,
      0.08921464863093953,
      0.0876372923808521,
      0.08608626715249962,
      0.08456113135748876,
      0.08306145082919345,
      0.08158679893656424,
      0.08013675618375199,
      0.07871091021653062,
      0.07730885567918311,
      0.07593019411552043,
      0.07457453387846402,
      0.07324148979058495,
      0.07193068327019951,
      0.07064174216270369,
      0.06937430051929137,
      0.06812799863334586,
      0.06690248288649214,
      0.06569740557857573,
      0.06451242493209602,
      0.06334720493066985,
      0.062201415153096844,
      0.0610747307998617,
      0.059966832613168236,
      0.05887740661389015,
      0.057806144042622035,
      0.0567527414090072,
      0.05571690029996985,
      0.054698327432854243,
      0.05369673420248467,
      0.05271183712721139,
      0.051743357559983605,
      0.05079102130343052,
      0.04985455867381935,
      0.04893370475738992,
      0.04802819893048239,
      0.047137784955783135,
      0.046262210958464584,
      0.045401229202160484,
      0.04455459627577308,
      0.043722072694789824,
      0.04290342308748182,
      0.04209841584589066,
      0.04130682335772214,
      0.04052842189075274,
      0.039762991387117294,
      0.0390103153763595,
      0.03827018120158376,
      0.037542379668268316,
      0.036826705030861925,
      0.0361229550499538,
      0.03543093087180162,
      0.034750436971900396,
      0.03408128104806921,
      0.03342327394421302,
      0.032776229949565465,
      0.03213996621373079,
      0.031514302904625695,
      0.03089906347343282,
      0.030294074124052477,
      0.02969916389788711,
      0.029114164635684173,
      0.028538911281244184,
      0.027973241299829706,
      0.027416995003857872,
      0.026870015297338217,
      0.026332147812509553,
      0.0258032406369704,
      0.025283144413064996,
      0.02477171216709848,
      0.02426879959327101,
      0.023774264807146943,
      0.023287968095817447,
      0.022809772077306122,
      0.0223395419136351,
      0.021877144751024466,
      0.02142245014787092,
      0.020975329748440966,
      0.020535657289287287,
      0.020103308658183744,
      0.0196781618469829,
      0.01926009686184675,
      0.0188489958068217,
      0.018444742568106715,
      0.01804722303372274,
      0.017656324989699917,
      0.0172719381384724,
      0.016893953978495368,
      0.016522265849775546,
      0.016156768840205945,
      0.01579735982613373,
      0.015443937328971324,
      0.015096401645359508,
      0.014754654761584406,
      0.01441860023046594,
      0.014088143206368017,
      0.01376319039168297,
      0.013443650090678277,
      0.013129432187316827,
      0.012820447956924181,
      0.012516610202048353,
      0.012217833343052743,
      0.011924033025011304,
      0.01163512628969542,
      0.011351031568074838,
      0.011071668754932549,
      0.010796959015218582,
      0.010526824723305803,
      0.010261189794420469,
      0.009999979335167676,
      0.009743119680736528,
      0.009490538245757513,
      0.009242163799367624,
      0.008997926198414096,
      0.008757756551240782,
      0.00852158720188907,
      0.008289351464391677,
      0.008060983838429774,
      0.00783641992405984,
      0.007615596239007645,
      0.007398450535722841,
      0.007184921442429556,
      0.00697494887777857,
      0.006768473522103658,
      0.006565437176679015,
      0.006365782553976034,
      0.006169453301259321,
      0.005976394046408215,
      0.005786550320247014,
      0.005599868597240048,
      0.0054162961182957076,
      0.005235781128381955,
      0.005058272711270167,
      0.00488372076816378,
      0.004712076017987702,
      0.004543290198542432,
      0.004377315596936223,
      0.004214105397089594,
      0.004053613470030439,
      0.003895794625776694,
      0.0037406043402727343,
      0.003587998873372205,
      0.0034379351543543783,
      0.0032903708864756008,
      0.0031452643173318327,
      0.003002574520100869,
      0.0028622613093191506,
      0.002724285032190025,
      0.002588606788303017,
      0.0024551883342824824,
      0.0023239920097879213,
      0.002194980863291463,
      0.002068118526181785,
      0.001943369076312468,
      0.0018206973612795523,
      0.0017000688031841601,
      0.0015814494284354039,
      0.0014648057979327544,
      0.001350104913804177,
      0.0012373144779990043,
      0.001126402625563186,
      0.00101733815587811,
      0.0009100901936944847,
      0.000804628443426068,
      0.0007009231399639147,
      0.0005989450910459462,
      0.0004986655625357283,
      0.00040005621025963737,
      0.0003030892294739011,
      0.00020773723930742847,
      0.00011397327078905699,
      2.177103615436076e-05,
      -6.889545414876784e-05,
      -0.00015805193621736788,
      -0.00024572353577579243,
      -0.0003319348860199249,
      -0.00041671031327289193,
      -0.000500073735201219,
      -0.0005820486276066373,
      -0.0006626581483502626,
      -0.0007419251646781361,
      -0.0008198719995536442,
      -0.0008965205890917415,
      -0.000971892638803329,
      -0.0010460094098229053,
      -0.0011188917132753152,
      -0.0011905601766017695,
      -0.0012610349552662774,
      -0.0013303359712226717,
      -0.0013984827301867931,
      -0.001465494411002871,
      -0.0015313899408654962,
      -0.0015961878980464226,
      -0.0016599066735941458,
      -0.001722564162066976,
      -0.001784178073544584,
      -0.0018447658185311371,
      -0.0019043444682199746,
      -0.0019629307262460246,
      -0.0020205411341061327,
      -0.002077192104181743,
      -0.0021328994945059125,
      -0.0021876790590653495,
      -0.002241546274137895,
      -0.0022945163166064033,
      -0.002346604065994098,
      -0.0023978242203228,
      -0.0024481913029634345,
      -0.0024977196177365687,
      -0.002546423018917823,
      -0.002594315239061062,
      -0.002641409758580114,
      -0.0026877198522519768,
      -0.0027332585839689094,
      -0.002778038921871313,
      -0.002822073470919482,
      -0.002865374643462247,
      -0.002907954606151014,
      -0.0029498253404759405,
      -0.0029909986068874417,
      -0.003031486092880697,
      -0.0030712992936691237,
      -0.0031104494043529374,
      -0.0031489474403759545,
      -0.003186804274429842,
      -0.0032240305899819623,
      -0.003260636795998748,
      -0.0032966332650364236,
      -0.003332030278618257,
      -0.0033668377175920935,
      -0.0034010654764812572,
      -0.0034347231012001813,
      -0.0034678200685950484,
      -0.003500365791706495,
      -0.0035323695613618533,
      -0.0035638403916976626,
      -0.003594787132053389,
      -0.0036252184251435605,
      -0.003655142779479642,
      -0.003684568653362924,
      -0.003713504513731659,
      -0.00374195837930714,
      -0.0037699382851197334,
      -0.003797452065617117,
      -0.0038245074554572184,
      -0.003851112285276689,
      -0.003877274028994509,
      -0.0039030001002719607,
      -0.0039282976336706115,
      -0.003953173817922982,
      -0.003977635720465005,
      -0.004001690239073356,
      -0.004025344198802499
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33440189855534,
      10.09246910227251,
      9.84378406486098,
      9.591218912634575,
      9.33736411592309,
      9.084448249689562,
      8.83432570608794,
      8.588466211385995,
      8.347949162659274,
      8.113486617578795,
      7.885461441057782,
      7.6639757772833645,
      7.4489051789942415,
      7.23995386731852,
      7.036707437825375,
      6.83868048055187,
      6.64535768461243,
      6.456227939594278,
      6.270811576443471,
      6.088681260979191,
      5.90947341639428,
      5.7328856319501975,
      5.558680328740717,
      5.386702889797999,
      5.216873792725952,
      5.049178274044602,
      4.883688602932983,
      4.720598184422811,
      4.560184569261683,
      4.402756930682154,
      4.2486490251074125,
      4.098230434706637,
      3.951887602717315,
      3.8099934280842183,
      3.6728957941403264,
      3.5409055926227584,
      3.414286834032679,
      3.2932504238910547,
      3.1779505284937217,
      3.0684768599743393,
      2.964842304235238,
      2.86698829332825,
      2.774776209741572,
      2.687982963242665,
      2.6063512812231084,
      2.529624519081586,
      2.457534091542548,
      2.3898124921616586,
      2.3261923564546434,
      2.2663874210224786,
      2.2100446220402623,
      2.1567902911072467,
      2.1062900559175315,
      2.0582192439296687,
      2.0122850575171625,
      1.9682387059793454,
      1.9258816947960538,
      1.88504569272852,
      1.8455918323956932,
      1.8074042472736942,
      1.7703787954388217,
      1.7344306304344403,
      1.6994907362439633,
      1.6655014101650092,
      1.6324131935253643,
      1.6001830146828597,
      1.5687733561433699,
      1.538154550797549,
      1.5083008464644652,
      1.4791870233812838,
      1.450788013374675,
      1.4230792046339744,
      1.396036724916666,
      1.3696363612553741,
      1.3438542025192795,
      1.3186681087487868,
      1.2940575647352814,
      1.270003278035361,
      1.2464869572393797,
      1.223491214334616,
      1.2009994880925534,
      1.178995982367821,
      1.1574656133124919,
      1.1363945169196017,
      1.1157703120395224,
      1.0955811914383216,
      1.0758158595029657,
      1.0564630191959485,
      1.0375114786848452,
      1.0189502693673536,
      1.000768715089865,
      0.9829564684044979,
      0.9655035266055407,
      0.9484002361211432,
      0.9316372886667196,
      0.9152057127401138,
      0.8990968627424758,
      0.8833024070224763,
      0.8678143145471093,
      0.8526248422751532,
      0.83772652255162,
      0.8231121505378481,
      0.8087747726488427,
      0.7947076744391885,
      0.7809043705921023,
      0.7673585939591034,
      0.7540642864399923,
      0.7410155893991038,
      0.7282068345849609,
      0.7156325362100802,
      0.7032873830099581,
      0.6911662307748501,
      0.6792640944904415,
      0.6675761427819064,
      0.6560976906369923,
      0.6448241936777426,
      0.6337512426427158,
      0.6228745574764518,
      0.6121899820709891,
      0.6016934674008736,
      0.5913810237329463,
      0.5812487760165344,
      0.5712929811546613,
      0.5615100144111139,
      0.5518963590967423,
      0.5424492543624898,
      0.5331664322759238,
      0.5240453113291096,
      0.515083116384199,
      0.5062769781573977,
      0.49762399586486156,
      0.4891212756255761,
      0.4807659539593973,
      0.47255521165077513,
      0.4644862818931872,
      0.4565564544463874,
      0.4487630777039035,
      0.441103558980604,
      0.4335753642662023,
      0.42617605011935805,
      0.41890350509707536,
      0.41175572002253963,
      0.40473059143314905,
      0.3978259755758775,
      0.3910397216694128,
      0.3843696920628679,
      0.3778137743364737,
      0.37136988870846915,
      0.3650359920079874,
      0.3588100800220575,
      0.3526903137640455,
      0.34667495147235133,
      0.34076221510939325,
      0.3349503184506184,
      0.32923748391048463,
      0.323621952883039,
      0.318101991767556,
      0.31267589540173246,
      0.3073420086275797,
      0.3020987302469336,
      0.2969444770122371,
      0.29187768477919557,
      0.2868968126853118,
      0.28200034535595697,
      0.2771867943732366,
      0.27245469886635304,
      0.2678026250523132,
      0.26322916675357155,
      0.25873294458309976,
      0.2543125496568796,
      0.24996640652845847,
      0.24569300934091823,
      0.24149096110139012,
      0.2373589424456489,
      0.23329569152192428,
      0.22929999116786326,
      0.22537066034652234,
      0.22150654838734007,
      0.21770679777712046,
      0.21397077899507524,
      0.2102977181254423,
      0.20668673417761144,
      0.2031368847610197,
      0.19964719489890376,
      0.19621667587261968,
      0.19284427469649384,
      0.18952888406070523,
      0.18626944647126506,
      0.1830649513444961,
      0.17991442398448795,
      0.17681691858701043,
      0.17377151382091524,
      0.17077730975615454,
      0.16783342539649698,
      0.16493899755332816,
      0.16209317969602652,
      0.1592951412145906,
      0.15654406681913124,
      0.1538391559544824,
      0.15117962259700654,
      0.14856469483009752,
      0.14599361444512604,
      0.14346563656092867,
      0.14098002938868623,
      0.13853607424345427,
      0.13613306493815938,
      0.133770307722181,
      0.13144712107860237,
      0.12916283518836155,
      0.12691679212908255,
      0.12470834526977026,
      0.1225368593555435,
      0.12040171006692682,
      0.11830228395040016,
      0.11623797825588796,
      0.1142082005085068,
      0.11221236859656597,
      0.11024991036483468,
      0.10832026362119426,
      0.106422875679797,
      0.10455720353923505,
      0.10272271345680091,
      0.10091888083901523,
      0.09914519023326362,
      0.09740113485971502,
      0.09568621663072417,
      0.09399994599577875,
      0.09234184177138545,
      0.09071143088422436,
      0.08910824844218844,
      0.08753183745748139,
      0.08598174878841588,
      0.08445754081890366,
      0.08295877951421204,
      0.0814850382328738,
      0.08003589751059967,
      0.0786109450954909,
      0.07720977575118106,
      0.07583199090034198,
      0.07447719888698197,
      0.07314501460181644,
      0.07183505954468528,
      0.07054696153549414,
      0.0692803547441784,
      0.06803487950447254,
      0.06681018228103093,
      0.06560591545198761,
      0.06442173717997436,
      0.06325731145710758,
      0.06211230803123235,
      0.0609864021213004,
      0.05987927441384412,
      0.05879061095865501,
      0.0577201031477914,
      0.05666744756858561,
      0.055632345894674674,
      0.05461450477729876,
      0.05361363582770076,
      0.0526294555582708,
      0.05166168514139186,
      0.05071005045303039,
      0.049774282073449395,
      0.048854115038583126,
      0.04794928878631238,
      0.04705954724017361,
      0.046184638490187266,
      0.045324314963530773,
      0.044478333172261963,
      0.04364645370946461,
      0.04282844111063209,
      0.04202406401994268,
      0.041233094952358294,
      0.04045531009248873,
      0.039690489470222204,
      0.038938416804345455,
      0.038198879379248714,
      0.037471667928942146,
      0.036756576750667035,
      0.03605340369853079,
      0.035361950063331905,
      0.034682020427870754,
      0.03401342250273831,
      0.033355967247822554,
      0.03270946879629119,
      0.03207374444180402,
      0.031448614567856026,
      0.030833902372637008,
      0.030229434177640815,
      0.029635039213577845,
      0.02905054948755076,
      0.028475799864890704,
      0.027910627926239558,
      0.027354873924392464,
      0.02680838082785699,
      0.02627099421575376,
      0.02574256230384703,
      0.02522293577080977,
      0.024711967822952388,
      0.024209514148021666,
      0.023715432904155617,
      0.023229584406517557,
      0.022751831458576798,
      0.022282039101387686,
      0.021820074670562403,
      0.021365807734920375,
      0.02091910996133652,
      0.020479855114672898,
      0.02004791918686186,
      0.019623180197427727,
      0.019205518180348345,
      0.018794815248525904,
      0.018390955341607673,
      0.017993824401437285,
      0.01760331019218657,
      0.017219302541195206,
      0.01684169311097876,
      0.016470375178104624,
      0.016105243965704452,
      0.015746196277213062,
      0.015393130804406208,
      0.015045947825803381,
      0.014704549381819199,
      0.014368839011571355,
      0.01403872194745622,
      0.01371410491496241,
      0.013394896282613863,
      0.013081005950433653,
      0.012772345340438016,
      0.01246882729075682,
      0.01217036610197597,
      0.011876877500077486,
      0.011588278681229679,
      0.011304488095113386,
      0.011025425621117621,
      0.010751012426053464,
      0.010481171119140839,
      0.01021582552482484,
      0.009954900657421667,
      0.009698322923240804,
      0.009446020022603717,
      0.009197920653635382,
      0.00895395477945385,
      0.008714053544313148,
      0.00847814906055842,
      0.00824617485485137,
      0.00801806544822492,
      0.007793756499997657,
      0.007573184517035413,
      0.0073562873236934665,
      0.007143003709321233,
      0.0069332733855829816,
      0.006727037163139913,
      0.00652423688478233,
      0.006324815311852888,
      0.0061287161856501925,
      0.0059358841404123525,
      0.005746264778253275,
      0.0055598045700712955,
      0.005376450742010628,
      0.0051961516020882625,
      0.0050188561972114454,
      0.0048445145904416655,
      0.004673077556668178,
      0.004504496631314676,
      0.004338724231514698,
      0.004175713679593841,
      0.004015418994303088,
      0.0038577949201017755,
      0.003702796883383797,
      0.0035503810716964305,
      0.0034005045482287267,
      0.003253124892367477,
      0.003108200573824904,
      0.002965690738746052,
      0.0028255551892878545,
      0.0026877542703790283,
      0.0025522490704337035,
      0.0024190013510149233,
      0.002287973492285387,
      0.002159128517147805,
      0.002032430098548367,
      0.0019078425761939932,
      0.0017853307654283395,
      0.001664859978287698,
      0.001546396256268015,
      0.0014299061668980734,
      0.0013153567489833278,
      0.0012027156821956212,
      0.0010919511853876107,
      0.0009830320384083405,
      0.0008759274912922657,
      0.0007706073471564548,
      0.0006670417480280407,
      0.000565201566594135,
      0.00046505813294361653,
      0.0003665830773764469,
      0.0002697485753395694,
      0.00017452730171345392,
      8.089246990814718e-05,
      -1.1182311410275255e-05,
      -0.00010172317391722943,
      -0.00019075564676795394,
      -0.00027830484597789814,
      -0.00036439545845638304,
      -0.0004490518453297564,
      -0.0005322979150001694,
      -0.0006141570451092121,
      -0.0006946523715737774,
      -0.0007738066122959945,
      -0.0008516421054403076,
      -0.0009281807826065142,
      -0.0010034443440051911,
      -0.0010774540382880195,
      -0.0011502307905567617,
      -0.001221795074568587,
      -0.0012921670820669091,
      -0.001361366713244044,
      -0.0014294134638205018,
      -0.0014963265842769919,
      -0.0015621249774403917,
      -0.001626827081829322,
      -0.0016904512049346029,
      -0.0017530153021720176,
      -0.0018145371558347728,
      -0.001875034063112587,
      -0.0019345231839533153,
      -0.0019930211629590315,
      -0.002050544576654813,
      -0.0021071096613711772,
      -0.0021627323131947532,
      -0.0022174283796132237,
      -0.0022712131427224894,
      -0.0023241018627769617,
      -0.0023761093989658854,
      -0.0024272504842395067,
      -0.0024775395732489973,
      -0.0025269908671883613,
      -0.002575618293261345,
      -0.0026234354893309633,
      -0.0026704560292574115,
      -0.0027166932026101596,
      -0.002762160079620327,
      -0.0028068694989593,
      -0.002850834016243072,
      -0.002894066156923612,
      -0.0029365780519302834,
      -0.0029783817207396173,
      -0.0030194889785731434,
      -0.00305991144468317,
      -0.003099660378033198,
      -0.0031387470903157504,
      -0.003177182710649479,
      -0.0032149779302200524,
      -0.003252143438764716,
      -0.003288689743592965,
      -0.0033246272365516885,
      -0.0033599660566413013,
      -0.003394716123425636,
      -0.003428887125140193,
      -0.0034624888112739596,
      -0.0034955307125109705,
      -0.0035280221719729116,
      -0.0035599723882600316,
      -0.0035913903051538465,
      -0.0036222847550904363,
      -0.0036526644490969032,
      -0.0036825381001610027,
      -0.003711914132827402,
      -0.003740800805638428,
      -0.003769206217897527,
      -0.0037971383479255298,
      -0.003824605046064733,
      -0.0038516140784197726,
      -0.003878173169976536,
      -0.0039042897485566533,
      -0.0039299712478349826,
      -0.003955224945368157,
      -0.003980057946806359,
      -0.00400447724550157,
      -0.004028489705580682,
      -0.004052101993224501
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33439767687813,
      10.092455630959863,
      9.843756437452985,
      9.59117236551931,
      9.33729496938988,
      9.084353969385537,
      8.834204773323673,
      8.588317839567152,
      8.347773046416647,
      8.113282767549666,
      7.885230052023071,
      7.66371713484299,
      7.448619594178903,
      7.239641640362667,
      7.036368847705297,
      6.838315790976885,
      6.644967167612571,
      6.455811909261155,
      6.270370426037186,
      6.088215504666193,
      5.908983826298034,
      5.732373265331189,
      5.558146457861888,
      5.386149021657527,
      5.216301605980486,
      5.048589616251408,
      4.883086082443418,
      4.7199851012993115,
      4.55956434071616,
      4.4021329842491195,
      4.248024743508433,
      4.097609410391244,
      3.9512733994780773,
      3.8093894026897477,
      3.672305035349801,
      3.54033088023237,
      3.4137305975988044,
      3.292714713042489,
      3.1774369982438917,
      3.067986649130141,
      2.9643760087634763,
      2.866545910732465,
      2.7743571493569212,
      2.6875860202095647,
      2.605975106439962,
      2.5292675833118192,
      2.4571947603551214,
      2.3894890827231583,
      2.32588314571871,
      2.26609049415006,
      2.209757587241852,
      2.1565110556696663,
      2.1060166649770045,
      2.0579498352404912,
      2.0120181160227495,
      1.9679731114322871,
      1.9256166177471876,
      1.8847805179332058,
      1.845326124168795,
      1.807137588548034,
      1.770110860181854,
      1.7341612068784535,
      1.6992196913390178,
      1.6652286648998122,
      1.6321386821659363,
      1.599906606711446,
      1.5684951631130626,
      1.5378749326823977,
      1.508020123900436,
      1.4789054249704445,
      1.4505056983549438,
      1.4227962863100023,
      1.3957533030676208,
      1.3693525377837,
      1.3435700510326403,
      1.3183837838714751,
      1.2937732271625018,
      1.2697190370719151,
      1.246202888894399,
      1.223207373180356,
      1.2007159162986418,
      1.178712713625671,
      1.1571826754153482,
      1.1361119523306904,
      1.115488161944233,
      1.0952994997297525,
      1.0755346657711993,
      1.0561823555168393,
      1.0372313716218053,
      1.0186707426613437,
      1.0004897905481058,
      0.9826781661598444,
      0.9652258663232244,
      0.9481232369169302,
      0.9313609695173066,
      0.914930092470615,
      0.8988219599989843,
      0.8830282401781223,
      0.8675409018984273,
      0.852352202020891,
      0.837454672604188,
      0.8228411086770867,
      0.808504556407372,
      0.7944383012036352,
      0.780635857334499,
      0.7670909579222088,
      0.7537975445134787,
      0.7407497582974027,
      0.727941930809327,
      0.7153685757699391,
      0.7030243817433494,
      0.6909042039189452,
      0.6790030574110809,
      0.6673161103193717,
      0.6558386774581474,
      0.6445662143891876,
      0.6334943112841037,
      0.6226186876641233,
      0.6119351873864389,
      0.6014397607021253,
      0.591128417192537,
      0.5809972818626772,
      0.57104261125919,
      0.5612607801483642,
      0.5516482784166906,
      0.5422024209645002,
      0.5329209350325665,
      0.5238012078370867,
      0.5148404438895317,
      0.5060357614057996,
      0.49738425134269515,
      0.4888830146731878,
      0.48052918448669435,
      0.4723199391993016,
      0.4642525104802397,
      0.456324186991294,
      0.4485323163934216,
      0.4408743055757398,
      0.43334762009696143,
      0.425949827948831,
      0.41867883304763787,
      0.4115326148020211,
      0.40450906256570096,
      0.3976060282254999,
      0.3908213579681541,
      0.3841529120932546,
      0.37759857705171884,
      0.3711562721575857,
      0.36482395360429565,
      0.35859962168900017,
      0.3524814436525217,
      0.34646767279084667,
      0.34055652797705677,
      0.33474622085598243,
      0.32903497276150984,
      0.3234210239684244,
      0.3179026403347777,
      0.31247811634807887,
      0.3071457983796553,
      0.30190408485166503,
      0.2967513916493843,
      0.29168615392961966,
      0.28670683020470156,
      0.2818119049513381,
      0.27699988955536214,
      0.27226932273343324,
      0.26761877075765916,
      0.2630468270421829,
      0.25855211197393746,
      0.25413321963639923,
      0.24978857814905298,
      0.24551667923776946,
      0.24131612439584543,
      0.2371855931952223,
      0.23312382315206115,
      0.22912959654381732,
      0.22520173196904233,
      0.22133907849629444,
      0.21754076967537989,
      0.2138061754994349,
      0.21013452522778597,
      0.2065249398853144,
      0.2029764782489507,
      0.19948816623772758,
      0.1960590154918462,
      0.1926879695660973,
      0.18937392116102675,
      0.18611581453067072,
      0.18291264002658605,
      0.1797634235740261,
      0.17666721983054287,
      0.17362310769186812,
      0.17063018718805784,
      0.16768757753084235,
      0.16479441554224378,
      0.16194985463149814,
      0.15915306422232703,
      0.1564032290692194,
      0.1536995486525229,
      0.1510412369685326,
      0.1484275219201149,
      0.14585764511997193,
      0.14333086185887436,
      0.140846440438096,
      0.13840366207912966,
      0.13600182054581136,
      0.13364022210801405,
      0.13131818514743096,
      0.12903503991391038,
      0.126790128354658,
      0.12458280396698562,
      0.12241243137344546,
      0.12027838640877206,
      0.11818005565011462,
      0.11611683617743199,
      0.11408813559019024,
      0.11209337184710656,
      0.11013197278920761,
      0.10820337617195708,
      0.10630702951952675,
      0.10444238976306146,
      0.10260892311303611,
      0.10080610504532984,
      0.09903341995542154,
      0.09729036114138548,
      0.09557643056863634,
      0.09389113868349183,
      0.09223400433163328,
      0.09060455460964402,
      0.08900232460549803,
      0.08742685733476749,
      0.08587770351342255,
      0.08435442179996921,
      0.08285657813929342,
      0.08138374590236805,
      0.079935505800291,
      0.0785114454969993,
      0.07711115956156551,
      0.07573424967061625,
      0.0743803242067528,
      0.07304899802057763,
      0.07173989268085985,
      0.07045263620778763,
      0.06918686279163012,
      0.06794221268006234,
      0.0667183323546462,
      0.06551487425306972,
      0.06433149673864684,
      0.06316786378356877,
      0.062023645114641306,
      0.060898516109602514,
      0.059792157453662925,
      0.058704255302652775,
      0.0576345009220728,
      0.05658259104191554,
      0.055548227433221055,
      0.054531116806220324,
      0.05353097082490085,
      0.05254750601612984,
      0.05158044360517461,
      0.05062950944789147,
      0.04969443422225118,
      0.048774952973362345,
      0.04787080527284957,
      0.04698173506763538,
      0.04610749055181085,
      0.04524782410509048,
      0.04440249238439552,
      0.04357125611650541,
      0.04275387974708771,
      0.041950131981977445,
      0.04115978532658343,
      0.04038261611704216,
      0.03961840433379967,
      0.03886693370259848,
      0.03812799160945189,
      0.03740136894684811,
      0.036686860221512324,
      0.03598426319899814,
      0.035293379133202275,
      0.034614012589555966,
      0.033945971439616834,
      0.03328906677349511,
      0.03264311281802241,
      0.03200792682229273,
      0.03138332922220651,
      0.03076914328317027,
      0.03016519533222668,
      0.02957131458863973,
      0.028987333228381196,
      0.028413086135510295,
      0.02784841088674806,
      0.027293147841800515,
      0.026747140168385232,
      0.026210233426025735,
      0.025682275910237265,
      0.025163118313485087,
      0.024652613955610227,
      0.024150618553402153,
      0.02365699017792949,
      0.0231715892143222,
      0.022694278502404297,
      0.0222249233152801,
      0.021763390927357164,
      0.021309550788195238,
      0.02086327462184594,
      0.020424436446492823,
      0.019992912322762728,
      0.019568580262730364,
      0.0191513202355823,
      0.01874101438457926,
      0.018337546896071033,
      0.01794080370490855,
      0.017550672689939182,
      0.017167043584627183,
      0.01678980806033988,
      0.01641885954965774,
      0.016054093248709975,
      0.015695406215516388,
      0.015342696997974517,
      0.014995866006138588,
      0.014654815166330163,
      0.014319448115350979,
      0.013989670185458263,
      0.013665388135031223,
      0.013346510406305889,
      0.013032946899864003,
      0.012724609015844221,
      0.012421409713631775,
      0.012123263342142707,
      0.01183008570481841,
      0.011541794021983172,
      0.011258306841567797,
      0.010979544063053537,
      0.010705426845990773,
      0.01043587785421714,
      0.010170820939619248,
      0.009910181263391748,
      0.009653885218780082,
      0.009401860352066315,
      0.009154035453694538,
      0.008910340584257465,
      0.00867070685744422,
      0.00843506658304172,
      0.008203353249565165,
      0.007975501428673414,
      0.007751446696503418,
      0.007531125864383206,
      0.007314476654501337,
      0.007101437907158326,
      0.006891949442731625,
      0.006685952003294644,
      0.006483387421078533,
      0.006284198574716538,
      0.0060883292156867904,
      0.005895723944984381,
      0.005706328402860398,
      0.005520089093450995,
      0.005336953372131958,
      0.005156869569762138,
      0.004979786821526273,
      0.004805655071029468,
      0.004634425198168657,
      0.004466048775318653,
      0.004300478316385068,
      0.004137667033100477,
      0.003977568899417933,
      0.0038201388017846502,
      0.0036653323363825406,
      0.003513105603052394,
      0.003363415694824159,
      0.0032162203384273856,
      0.0030714779380645128,
      0.002929147583971825,
      0.0027891891531760422,
      0.0026515630815949374,
      0.0025162304951490237,
      0.002383153196888135,
      0.0022522935999266273,
      0.0021236146752441854,
      0.0019970800417282875,
      0.0018726540713287672,
      0.001750301596543075,
      0.0016299880905952778,
      0.0015116796016972729,
      0.0013953427597894245,
      0.001280944658234601,
      0.0011684529664056245,
      0.0010578358153891033,
      0.0009490619783209496,
      0.0008421008049157582,
      0.0007369221394079348,
      0.0006334963294367939,
      0.0005317941095071248,
      0.0004317866389364242,
      0.0003334458275358299,
      0.00023674379875241228,
      0.00014165328962981687,
      4.814739084127948e-05,
      -4.380039357156033e-05,
      -0.00013421595109029794,
      -0.0002231247323621719,
      -0.00031055198489553736,
      -0.00039652220930065776,
      -0.0004810597903677041,
      -0.0005641886469621005,
      -0.000645932122833139,
      -0.0007263133324003001,
      -0.0008053549717192647,
      -0.0008830793503655644,
      -0.0009595084852523892,
      -0.00103466398365179,
      -0.0011085671025524088,
      -0.0011812386284712434,
      -0.001252699073618141,
      -0.0013229686547362718,
      -0.0013920672451207955,
      -0.0014600143509142648,
      -0.0015268291431189468,
      -0.0015925304820544504,
      -0.0016571369340508588,
      -0.0017206667998533492,
      -0.0017831380020685204,
      -0.0018445681237143343,
      -0.001904974438923294,
      -0.0019643740763760267,
      -0.0020227838000744466,
      -0.002080220196314658,
      -0.002136699522310929,
      -0.0021922376364730905,
      -0.002246850219647263,
      -0.0023005527605821324,
      -0.002353360349119075,
      -0.002405287913674461,
      -0.002456350108519844,
      -0.0025065613838619505,
      -0.002555935934369038,
      -0.002604487716613579,
      -0.002652230402312077,
      -0.002699177489074147,
      -0.002745342245281139,
      -0.0027907376668472477,
      -0.0028353764898902682,
      -0.002879271412687946,
      -0.002922434865489267,
      -0.002964879110450794,
      -0.003006615971358176,
      -0.0030476572557140355,
      -0.0030880145398889673,
      -0.003127699272163851,
      -0.003166722690392861,
      -0.0032050957642220886,
      -0.0032428293272646373,
      -0.003279934011597129,
      -0.0033164203974919027,
      -0.0033522988132570096,
      -0.003387579369459857,
      -0.0034222720114736723,
      -0.0034563865073770936,
      -0.0034899325437317973,
      -0.003522919572729049,
      -0.0035553568237677567,
      -0.0035872534799170426,
      -0.0036186185546717123,
      -0.003649460997263026,
      -0.0036797894863105666,
      -0.0037096125018920754,
      -0.0037389385624971867,
      -0.0037677759147806294,
      -0.0037961327443495818,
      -0.0038240170422479394,
      -0.0038514365856400167,
      -0.0038783991526842,
      -0.0039049123494602615,
      -0.0039309837290640685,
      -0.003956620655740112,
      -0.003981830378364062,
      -0.004006619995301965,
      -0.004030996533223488,
      -0.004054966840976001,
      -0.004078537654627905
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334393463133614,
      10.092442182815315,
      9.843728852342208,
      9.591125880568066,
      9.337225903686702,
      9.08425978865615,
      8.83408396141268,
      8.588169610474658,
      8.347597091795231,
      8.113079095801895,
      7.884998859630292,
      7.663458708598091,
      7.448334245730041,
      7.2393296705276615,
      7.036030534560866,
      6.837951398515711,
      6.644576968784173,
      6.455396217435152,
      6.26992963398711,
      6.087750128583811,
      5.908494638966216,
      5.731861325364046,
      5.55761304065439,
      5.385595635156091,
      5.2157299109070845,
      5.048001464047004,
      4.882484093970062,
      4.719372586199973,
      4.55894471381995,
      4.401509664144243,
      4.247401151964925,
      4.096989180966689,
      3.9506600822746174,
      3.8087863399254,
      3.6717153018059134,
      3.539757243270622,
      3.41317547505649,
      3.292180143960686,
      3.1769246275888188,
      3.0674976054109724,
      2.9639108797593194,
      2.866104686043621,
      2.773939230794375,
      2.687190198083006,
      2.6056000278853126,
      2.5289116911562015,
      2.4568564017482823,
      2.3891665818106618,
      2.325574786753527,
      2.2657943703063332,
      2.2094713138337125,
      2.1562325453987583,
      2.105743968963325,
      2.057681089443938,
      2.0117518119271147,
      1.9677081348431407,
      1.9253521436672971,
      1.8845159340044229,
      1.845060997287653,
      1.8068715034835607,
      1.7698434913240597,
      1.7338923429643358,
      1.6989492000030724,
      1.6649564679402926,
      1.631864738736147,
      1.5996307997477168,
      1.5682176588856074,
      1.5375961140646546,
      1.5077402701283324,
      1.4786247368833512,
      1.450224317153359,
      1.4225143138827208,
      1.3954708313438418,
      1.3690696632068193,
      1.3432868945926348,
      1.3181005280309417,
      1.2934900002948124,
      1.2694359277516891,
      1.2459199600558242,
      1.2229246721296705,
      1.2004334794641096,
      1.1784305708277043,
      1.156900853047892,
      1.1358304914299826,
      1.1152071026929442,
      1.0950188860467733,
      1.0752545372794018,
      1.0559027443278097,
      1.0369523050462899,
      1.0183922447775402,
      1.000211883240218,
      0.9824008705442336,
      0.9649492022750001,
      0.9478472240033049,
      0.9310856265916567,
      0.9146554382171173,
      0.8985480130543259,
      0.8827550190353559,
      0.8672684249481311,
      0.8520804876802287,
      0.8371837392796969,
      0.8225709746627932,
      0.8082352395661172,
      0.7941698193977177,
      0.7803682282333164,
      0.7668241988222686,
      0.7535316724765491,
      0.7404847899959955,
      0.7276778828693625,
      0.7151054646945825,
      0.7027622234949026,
      0.6906430142269671,
      0.6787428519167098,
      0.6670569041495228,
      0.6555804853485702,
      0.644309050796648,
      0.6332381903612261,
      0.6223636231230824,
      0.6116811925304287,
      0.6011868485997379,
      0.590876600054357,
      0.5807465717048327,
      0.5707930198968407,
      0.5610123194610303,
      0.5514010014485601,
      0.5419564360841715,
      0.5326763119915708,
      0.5235579918047677,
      0.5145986647600106,
      0.5057954389775887,
      0.49714539913544536,
      0.4886456419866479,
      0.480293297854513,
      0.47208554359838706,
      0.46401960951090915,
      0.4560927835048388,
      0.44830241265332693,
      0.44064590323322217,
      0.43312072036265664,
      0.4257244433541676,
      0.41845499170088374,
      0.4113103334859147,
      0.4042883509938356,
      0.3973868914842745,
      0.39060379840440734,
      0.38393693009302376,
      0.3773841716813325,
      0.37094344171908705,
      0.3646126957526034,
      0.35838993824673837,
      0.3522733425048815,
      0.34626115704559407,
      0.3403515978036876,
      0.33454287440640174,
      0.32883320674939126,
      0.3232208345201555,
      0.3177040227539296,
      0.31228106539594397,
      0.3069503103825045,
      0.30171015596926476,
      0.2965590169807123,
      0.2914953279983654,
      0.2865175472621907,
      0.28162415878013336,
      0.27681367358664494,
      0.27208463032681585,
      0.26743559499476927,
      0.26286516093749634,
      0.25837194840353206,
      0.2539545539469847,
      0.2496114096593719,
      0.24534100482368287,
      0.24114193915256027,
      0.23701289123065594,
      0.23295259790432155,
      0.22895984094192987,
      0.22503343855205107,
      0.22117223960631852,
      0.21737536870529087,
      0.21364219503865617,
      0.20997195116802336,
      0.20636376024727376,
      0.20281668230929872,
      0.19932974412999904,
      0.19590195786068362,
      0.1925322635081438,
      0.18921955370764706,
      0.18596277422027135,
      0.18276091637102634,
      0.17961300676948433,
      0.17651810067383214,
      0.17347527717999936,
      0.17048363645547743,
      0.16754229770987283,
      0.16465039779453064,
      0.16180709024894985,
      0.15901154449905072,
      0.1562629451283834,
      0.15356049150084766,
      0.15090339763263735,
      0.14829089150583907,
      0.14572221479539377,
      0.1431966226080209,
      0.14071338329694488,
      0.13827177807256164,
      0.1358711008019644,
      0.13351065765454515,
      0.13118976688537054,
      0.12890775886392236,
      0.1266639756302376,
      0.12445777061353595,
      0.12228850842366709,
      0.12015556470833264,
      0.11805832617197375,
      0.1159961900187356,
      0.11396856379723162,
      0.11197486527814025,
      0.11001452246612535,
      0.1080869731297853,
      0.10619166471944358,
      0.10432805418271117,
      0.10249560787521166,
      0.10069380129235699,
      0.0989221188253039,
      0.09718005372452049,
      0.09546710800444964,
      0.09378279212954108,
      0.09212662493891319,
      0.09049813361253181,
      0.08889685332254466,
      0.08732232712839459,
      0.08577410587385982,
      0.0842517479903846,
      0.08275481949211279,
      0.08128289378798684,
      0.07983555153231185,
      0.07841238059021048,
      0.07701297567236695,
      0.07563693840128484,
      0.07428387719866439,
      0.07295340703825107,
      0.0716451495211683,
      0.0703587326443674,
      0.06909379049673631,
      0.06784996344185215,
      0.0666268980625237,
      0.06542424688008987,
      0.06424166810842206,
      0.06307882588610886,
      0.06193539000954065,
      0.06081103583916335,
      0.059705444181575064,
      0.058618301204903876,
      0.0575492983801987,
      0.05649813228335026,
      0.05546450475350034,
      0.05444812255527616,
      0.05344869735282144,
      0.05246594575865384,
      0.05149958916605969,
      0.050549353599552656,
      0.04961496968430963,
      0.04869617250563574,
      0.047792701619192676,
      0.046904300963150215,
      0.04603071879995611,
      0.045171707655140024,
      0.04432702409454868,
      0.043496428856764295,
      0.042679686766380835,
      0.041876566487777635,
      0.04108684048423509,
      0.04031028513800848,
      0.03954668048769509,
      0.03879581035484694,
      0.03805746215745822,
      0.03733142687096205,
      0.036617498945306096,
      0.035915476299286916,
      0.03522516027063338,
      0.03454635547760722,
      0.03387886983955202,
      0.033222514463850175,
      0.032577103544906956,
      0.03194245441516759,
      0.03131838751917341,
      0.030704726316886904,
      0.03010129717947052,
      0.029507929379109867,
      0.028924455064707626,
      0.028350709153016355,
      0.027786529396109316,
      0.027231756319700227,
      0.026686232873296547,
      0.02614980465587238,
      0.025622320107383464,
      0.025103630100266842,
      0.02459358784000772,
      0.024092049041246257,
      0.023598871954862193,
      0.023113917099717416,
      0.02263704725742289,
      0.022168127660708456,
      0.021707025720083418,
      0.021253611090255493,
      0.020807755452162215,
      0.020369332863176805,
      0.019938219340131503,
      0.019514293035573584,
      0.019097434008324397,
      0.01868752436470515,
      0.01828444824172707,
      0.017888091709363004,
      0.017498342737841177,
      0.017115091140393217,
      0.016738228567621777,
      0.016367648559904906,
      0.016003246340216198,
      0.0156449189060781,
      0.015292564930869876,
      0.014946084786855324,
      0.014605380618838135,
      0.014270356043229421,
      0.013940916342688726,
      0.01361696846378229,
      0.013298420823836306,
      0.012985183371704831,
      0.012677167476307902,
      0.012374286177170794,
      0.012076453938616652,
      0.011783586549775609,
      0.011495601182445308,
      0.0112124165814042,
      0.010933952688375242,
      0.010660130748007654,
      0.010390873291398805,
      0.010126104303017327,
      0.009865748960763891,
      0.009609733666874034,
      0.009357986026116698,
      0.00911043481001449,
      0.0088670101609925,
      0.008627643184403783,
      0.008392266410004163,
      0.008160813291746803,
      0.007933218322040017,
      0.0077094172836283704,
      0.007489346883001542,
      0.007272944934722946,
      0.007060150359013985,
      0.006850902993028096,
      0.006645143666508964,
      0.006442814160321472,
      0.006243857321468683,
      0.006048217017011448,
      0.005855837945534335,
      0.00566666574459055,
      0.005480646891630457,
      0.005297728837828283,
      0.005117859833196695,
      0.004940989200973129,
      0.004767066896740452,
      0.004596043731935102,
      0.004427871327124916,
      0.004262502170124858,
      0.004099889601261604,
      0.003939987604849538,
      0.0037827510229499544,
      0.0036281355180773894,
      0.0034760973927943604,
      0.003326593627994916,
      0.0031795819750731922,
      0.0030350208598303565,
      0.0028928694484968865,
      0.0027530876652892902,
      0.0026156360289566784,
      0.002480475605963007,
      0.002347568175426383,
      0.0022168762321082983,
      0.002088362737225797,
      0.001961991392944789,
      0.0018377265698005622,
      0.0017155331223081872,
      0.0015953765500128071,
      0.0014772228301913124,
      0.0013610385960963229,
      0.0012467911076621734,
      0.001134448091216011,
      0.0010239777207829719,
      0.0009153487668570895,
      0.0008085306073472363,
      0.0007034930628023457,
      0.0006002063732728645,
      0.0004986414314558179,
      0.0003987694456954027,
      0.0003005622024030051,
      0.00020399198695916722,
      0.00010903152587613976,
      1.5653994236509332e-05,
      -7.616700705079055e-05,
      -0.0001664573574331057,
      -0.0002552426267548523,
      -0.00034254794646722367,
      -0.0004283980256699189,
      -0.0005128170889746843,
      -0.0005958289844552068,
      -0.0006774571182747045,
      -0.0007577245399840166,
      -0.0008366540140601599,
      -0.0009142678614295756,
      -0.0009905879067636778,
      -0.001065635736219268,
      -0.0011394325656207483,
      -0.001211999184079784,
      -0.0012833561881982816,
      -0.0013535236938099701,
      -0.0014225216251524697,
      -0.0014903694429912412,
      -0.001557086221071058,
      -0.0016226908866658857,
      -0.0016872019763437846,
      -0.001750637728190932,
      -0.00181301602609302,
      -0.0018743545398230978,
      -0.0019346704955849187,
      -0.0019939810553040176,
      -0.002052303015004337,
      -0.002109652788154788,
      -0.002166046635359033,
      -0.0022215004546013617,
      -0.0022760299331580887,
      -0.002329650443278575,
      -0.002382377147390905,
      -0.0024342248983324354,
      -0.0024852083679229556,
      -0.0025353420089974923,
      -0.002584639991250188,
      -0.002633116129758763,
      -0.0026807841871663448,
      -0.002727657686123443,
      -0.0027737498414224706,
      -0.002819073790122188,
      -0.00286364235661541,
      -0.002907467931598918,
      -0.0029505629658441784,
      -0.002992939637128768,
      -0.0030346099747607844,
      -0.0030755856648965337,
      -0.003115878268221675,
      -0.003155499233499882,
      -0.003194459770824685,
      -0.0032327708001139337,
      -0.003270443223130393,
      -0.0033074876290602323,
      -0.0033439146096446107,
      -0.003379734278933314,
      -0.0034149569240528635,
      -0.003449592517398044,
      -0.0034836507493776207,
      -0.0035171412256143524,
      -0.0035500733964589056,
      -0.0035824566576201583,
      -0.0036143001390807057,
      -0.003645612823651372,
      -0.0036764036203868074,
      -0.003706681195920813,
      -0.0037364540721326325,
      -0.0037657306087936692,
      -0.0037945191699923623,
      -0.003822827781477534,
      -0.003850664474072179,
      -0.0038780372132802684,
      -0.0039049536060842605,
      -0.003931421300058196,
      -0.003957447758707487,
      -0.003983040392536664,
      -0.004008206352827568,
      -0.004032952769741287,
      -0.004057286722819494,
      -0.004081215103655532,
      -0.004104744700043763
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33438925396598,
      10.0924287454405,
      9.843701283398369,
      9.591079416743389,
      9.337156862123942,
      9.084165635925485,
      8.83396317739096,
      8.588021404538006,
      8.347421156003506,
      8.112875439837714,
      7.884767679699723,
      7.6632002897059746,
      7.448048899120417,
      7.239017696269908,
      7.035692211708639,
      6.837586991950466,
      6.644186751848894,
      6.454980504190319,
      6.269488818485759,
      6.087284727244223,
      5.908005424945482,
      5.73134935828834,
      5.557079594229382,
      5.385042219561849,
      5.215158135979327,
      5.047413188820169,
      4.881881947043234,
      4.71875988542973,
      4.558324882824877,
      4.400886127901622,
      4.246777338020302,
      4.096368726357463,
      3.950046540265596,
      3.808183057052119,
      3.67112535583273,
      3.539183403475536,
      3.4126201601043284,
      3.291645394147585,
      3.1764120885480454,
      3.067008406145664,
      2.963445607063752,
      2.865663329415814,
      2.7735211930994828,
      2.68679426880372,
      2.605224853097243,
      2.5285557113904145,
      2.4565179627499143,
      2.3888440075585833,
      2.3252663614572806,
      2.2654981864112154,
      2.209184985987997,
      2.1559539869491187,
      2.105471232031194,
      2.057412294162154,
      2.011485455693355,
      1.9674431074430485,
      1.9250876217574961,
      1.884251307373999,
      1.844795834403649,
      1.8066053899304182,
      1.7695761032314157,
      1.7336234691145154,
      1.6986787076046919,
      1.6646842786601697,
      1.631590811791535,
      1.5993550466659763,
      1.567940235969607,
      1.537317398139652,
      1.507460536528003,
      1.478344183678179,
      1.4499430838609055,
      1.422232501034533,
      1.3951885294835518,
      1.3687869829803405,
      1.3430040186946728,
      1.3178176142955829,
      1.2932071559668807,
      1.2691532277299653,
      1.2456374589567965,
      1.222642411038106,
      1.2001514910332698,
      1.1781488832905793,
      1.1566194917179622,
      1.1355494961585353,
      1.1149265131847068,
      1.0947387455838644,
      1.074974884636735,
      1.0556236107085093,
      1.036673716942228,
      1.0181142260440545,
      0.9999344558282394,
      0.9821240548572898,
      0.964673018474261,
      0.9475716916686057,
      0.9308107650784867,
      0.914381266539758,
      0.8982745498549759,
      0.8824822828941388,
      0.8669964343734602,
      0.8518092609830553,
      0.8369132946368988,
      0.8223013300143879,
      0.807966412752946,
      0.7939018279552694,
      0.7801010898338624,
      0.7665579308906716,
      0.7532662920738297,
      0.7402203139698473,
      0.7274143277890146,
      0.7148428469522118,
      0.7025005590652185,
      0.6903823188725922,
      0.6784831408232929,
      0.6667981924905727,
      0.6553227881534714,
      0.6440523826053249,
      0.6329825654026262,
      0.6221090553564882,
      0.6114276956262978,
      0.6009344351737049,
      0.59062528216136,
      0.5804963614251867,
      0.5705439292281471,
      0.5607643599730247,
      0.5511542263996735,
      0.5417109537677091,
      0.5324321915894852,
      0.5233152785411402,
      0.5143573884435603,
      0.5055556194349249,
      0.49690704974772365,
      0.48840877218078366,
      0.4800579142518517,
      0.47185165096924697,
      0.4637872116152712,
      0.4558618832112997,
      0.4480730119473503,
      0.4404180036494871,
      0.4328943231814681,
      0.4254995614138482,
      0.41823165289070874,
      0.4110885544541405,
      0.40406814140306746,
      0.39716825663137384,
      0.390386740522536,
      0.3837214497159416,
      0.3771702678771958,
      0.3707311124426774,
      0.3644019382908182,
      0.35818075455416004,
      0.35206574066622714,
      0.3460551401943387,
      0.34014716608834594,
      0.33434002610199226,
      0.32863193870973784,
      0.32302114257122216,
      0.31750590209322455,
      0.3120845109357777,
      0.30675531838713793,
      0.30151672260298157,
      0.2963671375915277,
      0.29130499708246893,
      0.28632875872877556,
      0.2814369063003354,
      0.27662795054503475,
      0.2719004298973413,
      0.2672529102643819,
      0.2626839847732969,
      0.2581922736608059,
      0.2537763763197175,
      0.2494347286358472,
      0.2451658171062349,
      0.24096823984135365,
      0.23684067436233044,
      0.232781856806952,
      0.22879056856083385,
      0.22486562753092915,
      0.2210058823530859,
      0.21721044862727126,
      0.2134786949300725,
      0.20980985701077753,
      0.2062030600132026,
      0.2026573653153575,
      0.1991718004485064,
      0.19574537804981768,
      0.19237703457724017,
      0.18906566260022162,
      0.185810209525608,
      0.18260966780327254,
      0.17946306479040317,
      0.17636945595197853,
      0.17332792054625185,
      0.1703375589600303,
      0.16739749055865408,
      0.16450685220304798,
      0.16166479731442235,
      0.15887049535129572,
      0.15612313090844415,
      0.1534219035047646,
      0.15076602695891156,
      0.1481547292998351,
      0.14558725216847807,
      0.14306285077941702,
      0.14058079333422596,
      0.13814036087945403,
      0.13574084727674288,
      0.1333815587528248,
      0.13106181352982882,
      0.12878094211439192,
      0.12653828647861284,
      0.12433319996276583,
      0.12216504728200793,
      0.1200332041550125,
      0.11793705710662164,
      0.11587600336746284,
      0.11384945050242358,
      0.1118568164470913,
      0.10989752906204753,
      0.10797102624094798,
      0.10607675534493653,
      0.10421417345055746,
      0.10238274678954942,
      0.10058195079848113,
      0.09881127007109401,
      0.09707019794729876,
      0.09535823636721491,
      0.09367489584277479,
      0.09201969529356469,
      0.09039216184775963,
      0.08879183060740266,
      0.0872182446545666,
      0.08567095497392553,
      0.08414952003659404,
      0.08265350591007248,
      0.08118248602894028,
      0.07973604103924412,
      0.07831375883994542,
      0.07691523419849626,
      0.07554006877925276,
      0.07418787101825157,
      0.07285825593298828,
      0.0715508450580799,
      0.0702652664837206,
      0.06900115446933232,
      0.0677581494868799,
      0.06653589810547565,
      0.06533405280916628,
      0.0641522720145444,
      0.06299021966122313,
      0.06184756567261864,
      0.06072398545514841,
      0.059619159908061096,
      0.058532775224451675,
      0.05746452288035352,
      0.056414099589394105,
      0.05538120720703386,
      0.05436555258085969,
      0.05336684748327028,
      0.052384808447708923,
      0.05141915696968375,
      0.050469619118794225,
      0.049535925540344784,
      0.04861781142944014,
      0.04771501640449886,
      0.04682728449953469,
      0.04595436394691585,
      0.04509600731027666,
      0.044251971299814674,
      0.04342201664144101,
      0.042605908113996505,
      0.04180341445851849,
      0.04101430831874205,
      0.04023836604050795,
      0.03947536788606835,
      0.038725097560352396,
      0.037987342663518255,
      0.037261894187922966,
      0.0365485465118721,
      0.035847097628956645,
      0.03515734892661365,
      0.03447910507971509,
      0.03381217416671929,
      0.03315636723279838,
      0.03251149862118282,
      0.03187738577667854,
      0.03125384913741345,
      0.030640712139864322,
      0.030037801248334654,
      0.029444945715856617,
      0.02886197784619814,
      0.028288732630990344,
      0.02772504786221552,
      0.02717076395600604,
      0.02662572402221398,
      0.026089773830120434,
      0.025562761803128685,
      0.025044538763042686,
      0.024534958033836214,
      0.024033875452894704,
      0.023541149182370866,
      0.023056639784117313,
      0.022580210246229977,
      0.022111725758611644,
      0.02165105382157914,
      0.02119806407690662,
      0.020752628331835044,
      0.02031462064871673,
      0.019883917106141118,
      0.019460395835568457,
      0.019043937103744756,
      0.018634423015179678,
      0.018231737718481727,
      0.017835767416851975,
      0.017446400030409176,
      0.017063525443825858,
      0.01668703544409953,
      0.016316823474419487,
      0.01595278478908801,
      0.01559481645005749,
      0.015242817178137436,
      0.014896687490192899,
      0.01455632944890748,
      0.014221646851704864,
      0.01389254498703107,
      0.013568930778146724,
      0.013250712730085292,
      0.012937800761662907,
      0.012630106456457093,
      0.012327542849742546,
      0.012030024335648506,
      0.011737466630296057,
      0.01144978716004811,
      0.011166904584878016,
      0.010888738931249272,
      0.010615211538945802,
      0.010346245026244026,
      0.01008176336806308,
      0.00982169182015168,
      0.00956595675964358,
      0.00931448582250158,
      0.009067207937424784,
      0.008824053206197658,
      0.008584952775732116,
      0.008349839165913251,
      0.008118645833044983,
      0.007891307392136787,
      0.007667759697724387,
      0.007447939445622782,
      0.007231784465126784,
      0.007019233704388027,
      0.006810227060594756,
      0.006604705385941357,
      0.006402610541686985,
      0.00620388545621498,
      0.006008473913905493,
      0.005816320627051187,
      0.005627371298738248,
      0.0054415724798867315,
      0.005258871581961072,
      0.005079216950524264,
      0.004902557808778123,
      0.004728844344591684,
      0.004558027298555423,
      0.004390058400593804,
      0.004224890167576699,
      0.004062476003471439,
      0.003902769895351294,
      0.003745726640082662,
      0.0035913018384265173,
      0.003439451892746621,
      0.0032901339310334307,
      0.0031433056580835146,
      0.0029989255647467766,
      0.0028569529172885006,
      0.002717347502097715,
      0.0025800697924149513,
      0.002445081009458187,
      0.002312342976531642,
      0.0021818181982222033,
      0.0020534697512843126,
      0.001927261368712477,
      0.0018031573674552306,
      0.0016811226228169314,
      0.001561122614876085,
      0.0014431234520428696,
      0.0013270918336827984,
      0.0012129949700322381,
      0.0011008005107426882,
      0.0009904766660898618,
      0.0008819922983729011,
      0.0007753167487417021,
      0.0006704199523446274,
      0.000567272148392388,
      0.000465844221495257,
      0.00036610745351657614,
      0.0002680336337350352,
      0.00017159506251142293,
      7.676440428811656e-05,
      -1.6485037895938763e-05,
      -0.00010817961818559083,
      -0.000198345298684597,
      -0.0002870075668387716,
      -0.00037419152921451716,
      -0.0004599218192017494,
      -0.0005442226936466062,
      -0.000627117924612004,
      -0.0007086309690589776,
      -0.000788784920950364,
      -0.0008676024364424933,
      -0.0009451057976196862,
      -0.0010213168215922966,
      -0.0010962571626353243,
      -0.0011699478689837295,
      -0.0012424098411965765,
      -0.0013136636274228997,
      -0.001383729351747667,
      -0.001452626844159197,
      -0.0015203755782155555,
      -0.0015869946585699592,
      -0.0016525029405478565,
      -0.0017169189894502691,
      -0.0017802609883180304,
      -0.0018425467390907368,
      -0.0019037939553601913,
      -0.0019640199437495863,
      -0.0020232417866022693,
      -0.002081476275075631,
      -0.002138739682691479,
      -0.002195048280872113,
      -0.002250417970168329,
      -0.0023048645018072093,
      -0.0023584032279319427,
      -0.0024110491556457517,
      -0.002462817323301689,
      -0.0025137223954597126,
      -0.002563778727080295,
      -0.002613000330702443,
      -0.0026614012048818978,
      -0.002708995045813114,
      -0.0027557954027542,
      -0.0028018154515446598,
      -0.002847068077877033,
      -0.0028915661633644434,
      -0.002935322330771402,
      -0.0029783489618231754,
      -0.0030206581312132493,
      -0.0030622618194912237,
      -0.003103171750015804,
      -0.0031433995370184504,
      -0.003182956635594742,
      -0.003221854234100245,
      -0.003260103291637941,
      -0.003297714625705844,
      -0.0033346988209597616,
      -0.0033710663472385186,
      -0.0034068274732698663,
      -0.0034419923326429345,
      -0.0034765708743933125,
      -0.003510572838488295,
      -0.0035440078768089627,
      -0.0035768853873368975,
      -0.0036092148057942698,
      -0.0036410050124916324,
      -0.0036722651755018484,
      -0.0037030041565861097,
      -0.003733230743460969,
      -0.0037629533595881126,
      -0.0037921803900405,
      -0.0038209200808561957,
      -0.003849180533091322,
      -0.0038769697664230466,
      -0.003904295712783978,
      -0.0039311660818382365,
      -0.003957588302105848,
      -0.0039835699067179205,
      -0.00400911822544746,
      -0.0040342405345959904,
      -0.004058944021964529,
      -0.004083235662197267,
      -0.0041071222443236225,
      -0.004130610500190674
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334385048560701,
      10.09241532086853,
      9.843673738393633,
      9.591032986485903,
      9.337087863987115,
      9.084071535507187,
      8.833842454630112,
      8.587873269216256,
      8.347245297567904,
      8.11267186614582,
      7.884536586514785,
      7.662941961966239,
      7.44776364772913,
      7.238705822805113,
      7.035353995625024,
      6.837222698206095,
      6.643796653890718,
      6.454564917069838,
      6.2690481366791415,
      6.0868194671967375,
      5.907516360016741,
      5.730837547871959,
      5.556546313755148,
      5.384488977892212,
      5.214586541515083,
      5.046825100226179,
      4.881279993623702,
      4.718147384328298,
      4.557705256386095,
      4.400262799514412,
      4.246153753213216,
      4.095748536657828,
      3.949433294684005,
      3.8075800956741483,
      3.670535750414992,
      3.538609917342642,
      3.41206520687322,
      3.291111008599674,
      3.1758999108033334,
      3.0665195598652835,
      2.962980675560318,
      2.8652222983338973,
      2.773103462598553,
      2.686398627201739,
      2.6048499468642814,
      2.5281999801756627,
      2.4561797518765562,
      2.3885216417823876,
      2.3249581259041725,
      2.2652021754651934,
      2.208898817937625,
      2.155675577837594,
      2.105198636161419,
      2.0571436321641223,
      2.011219228270392,
      1.9671782069141543,
      1.924823227460397,
      1.8839868096837888,
      1.8445308023111728,
      1.8063394093532348,
      1.7693088497547695,
      1.7333547321588514,
      1.6984083549272686,
      1.664412232183682,
      1.6313170306966527,
      1.5990794664122518,
      1.5676630073044382,
      1.5370388918924878,
      1.507181023788581,
      1.478063859570088,
      1.4496620856430351,
      1.4219509271089683,
      1.3949064747006603,
      1.368504629925146,
      1.3427215546422357,
      1.317535164484521,
      1.2929248070411943,
      1.2688710409334427,
      1.2453554797442816,
      1.222360675409535,
      1.1998700290507052,
      1.1778677204912575,
      1.1563386508640485,
      1.1352690164693862,
      1.114646433869154,
      1.0944591098670002,
      1.0746957313173593,
      1.0553449710418932,
      1.036395618007701,
      1.0178366916492576,
      0.9996575079009014,
      0.9818477144113446,
      0.9643973056938436,
      0.9472966260762472,
      0.9305363656869463,
      0.9141075521911813,
      0.8980015395448911,
      0.8822099953686261,
      0.8667248882205205,
      0.8515384745056619,
      0.836643286119057,
      0.8220321175665133,
      0.807698014398452,
      0.7936342613729229,
      0.7798343723921055,
      0.7662920797202349,
      0.7530013242034709,
      0.7399562461200561,
      0.7271511764076385,
      0.7145806283401742,
      0.702239289312505,
      0.690122013860407,
      0.6782238160875795,
      0.6665398631256787,
      0.6550654689845282,
      0.6437960878927067,
      0.6327273091714855,
      0.621854851462107,
      0.6111745574798029,
      0.6006823757631342,
      0.5903743139102772,
      0.5802464967546452,
      0.5702951802958862,
      0.5605167386847818,
      0.550907785890588,
      0.541465802154592,
      0.5321883977983893,
      0.5230728874333346,
      0.5141164295099262,
      0.5053161126856557,
      0.49666900889306276,
      0.488172206613932,
      0.4798228306805707,
      0.47161805426862946,
      0.4635551054140395,
      0.4556312703150172,
      0.44784389457545276,
      0.44019038358822543,
      0.4326682017517875,
      0.42527495128388654,
      0.418008582051175,
      0.4108670396465279,
      0.4038481924515164,
      0.3969498785791888,
      0.3901699356207327,
      0.3835062180996166,
      0.37695660848494567,
      0.3705190234951597,
      0.36419141745770606,
      0.3579718037181026,
      0.3518583678300671,
      0.34584934880630125,
      0.33994295619557674,
      0.33413739582982255,
      0.3284308848787523,
      0.3228216610269449,
      0.3173079883980554,
      0.31188816002615016,
      0.30656052670703016,
      0.3013234863217354,
      0.29617545179812604,
      0.29111485625810635,
      0.2861401569221269,
      0.28124983717172697,
      0.276442407598108,
      0.2717164063639877,
      0.26707039906333435,
      0.2625029789235663,
      0.2580127659683124,
      0.25359836217702253,
      0.24925820730692816,
      0.24499078548929085,
      0.24079469329643002,
      0.23666860704741455,
      0.23261126209741942,
      0.22862143934961748,
      0.22469795639832602,
      0.2208396616579977,
      0.2170456617164657,
      0.2133153245254615,
      0.2096478890738202,
      0.2060424824954061,
      0.20249816751375124,
      0.19901397241589303,
      0.19558891040107107,
      0.19222191421342139,
      0.1889118765979535,
      0.18565774656928896,
      0.18245851761385112,
      0.17931321779873846,
      0.1762209028851099,
      0.1731806523832681,
      0.17019156677970254,
      0.16725276544415302,
      0.1643633852984335,
      0.16152257991284394,
      0.1587295186269625,
      0.15598338602919365,
      0.1532833815719628,
      0.15062871912510756,
      0.14801862668225152,
      0.14545234591481157,
      0.14292913189117273,
      0.1404482527884227,
      0.13800898983212753,
      0.13561063678363292,
      0.13325249988333818,
      0.13093389748720818,
      0.12865415980258846,
      0.12641262874847692,
      0.12420865781911508,
      0.12204161169051468,
      0.11991086614747332,
      0.11781580771424083,
      0.11575583359243943,
      0.11373035141631066,
      0.11173877904083242,
      0.10978054441368404,
      0.10785508528250194,
      0.10596184919488542,
      0.10410029310400248,
      0.10226988338052784,
      0.10047009562058987,
      0.09870041427442501,
      0.09696033265433539,
      0.09524935276915898,
      0.09356698509900249,
      0.0919127486724681,
      0.09028617057520646,
      0.08868678595668605,
      0.0871141379536385,
      0.08556777747255374,
      0.08404726314882321,
      0.08255216106583266,
      0.08108204466215073,
      0.07963649465855661,
      0.07821509891204233,
      0.07681745233671977,
      0.07544315653164135,
      0.07409181997021498,
      0.07276305778786998,
      0.07145649157145215,
      0.07017174945525755,
      0.06890846569669554,
      0.06766628070355987,
      0.06644484125218225,
      0.06524379984470947,
      0.06406281478416609,
      0.06290155033706304,
      0.06175967633920948,
      0.06063686817533901,
      0.059532806839493455,
      0.05844717868220946,
      0.0573796752157523,
      0.05632999314213648,
      0.05529783428900425,
      0.05428290567293129,
      0.05328491904744219,
      0.052303591067249605,
      0.051338643117323085,
      0.0503898012586809,
      0.049456796264547354,
      0.04853936346784032,
      0.04763724255572848,
      0.04675017746022882,
      0.04587791656385495,
      0.04502021256881273,
      0.04417682218557458,
      0.04334750616436474,
      0.04253202938323597,
      0.04173016066561434,
      0.04094167262540974,
      0.040166341775139704,
      0.0394039482984066,
      0.03865427609462382,
      0.03791711267223253,
      0.03719224912891615,
      0.036479480018389875,
      0.03577860332614418,
      0.035089420387629036,
      0.03441173604920365,
      0.03374535825010338,
      0.03309009825955701,
      0.03244577047486527,
      0.031812192307443594,
      0.03118918436717748,
      0.030576570118230183,
      0.029974175984896295,
      0.02938183137338229,
      0.028799368603407472,
      0.028226622679024507,
      0.027663431407449514,
      0.027109635375704624,
      0.026565077683717516,
      0.026029604195979043,
      0.025503063250526148,
      0.024985305771911864,
      0.02447618528616661,
      0.02397555760839126,
      0.023483281035930694,
      0.022999216143536543,
      0.022523225854933635,
      0.022055175466032084,
      0.021594932480266543,
      0.021142366579720042,
      0.020697349630042047,
      0.02025975581501105,
      0.01982946118837531,
      0.019406344040937346,
      0.018990284550739436,
      0.01858116495024638,
      0.018178869465502834,
      0.01778328426986263,
      0.017394297336838192,
      0.017011798618468084,
      0.016635679861749613,
      0.016265834617290725,
      0.01590215826099783,
      0.015544547902004758,
      0.015192902297648555,
      0.01484712196526896,
      0.014507109008512088,
      0.01417276726802814,
      0.013844002211720143,
      0.013520720621098171,
      0.013202831142065804,
      0.012890243799250042,
      0.01258287008224172,
      0.012280623056467994,
      0.011983417219472317,
      0.011691168502769264,
      0.011403794215626104,
      0.011121213038767813,
      0.01084334496616281,
      0.010570111462081684,
      0.010301435178495253,
      0.010037240141436789,
      0.009777451522839833,
      0.009521995824165167,
      0.009270800766170319,
      0.009023795323364907,
      0.008780909578938572,
      0.008542074902254265,
      0.008307223698406812,
      0.008076289512038034,
      0.007849207008386302,
      0.007625911907694997,
      0.007406341095652495,
      0.007190432413760786,
      0.0069781247209310445,
      0.006769357965042896,
      0.00656407309371776,
      0.006362212051628717,
      0.006163717730774467,
      0.005968533949789485,
      0.005776605558446327,
      0.005587878284610499,
      0.005402298698369486,
      0.005219814238420526,
      0.00504037333016517,
      0.004863925221510565,
      0.004690419898164621,
      0.004519808377170555,
      0.004352042412790255,
      0.0041870744533876745,
      0.0040248579829589,
      0.0038653470012466424,
      0.00370849641596551,
      0.0035542617953913014,
      0.0034025995950520537,
      0.003253466834000811,
      0.0031068214668238804,
      0.002962621900511084,
      0.0028208273274325643,
      0.002681397654218783,
      0.002544293401628721,
      0.0024094757592817368,
      0.0022769066753059795,
      0.002146548636890541,
      0.0020183647201578617,
      0.0018923186615511442,
      0.0017683749063895876,
      0.001646498341901814,
      0.0015266545475989648,
      0.0014088095392012835,
      0.0012929298514303908,
      0.0011789828393908152,
      0.0010669362894479562,
      0.0009567584773185351,
      0.0008484182278251903,
      0.0007418849836295665,
      0.0006371284815744343,
      0.0005341191108794911,
      0.0004328278161086512,
      0.00033322595771429094,
      0.0002352852247683056,
      0.0001389779121755059,
      4.427686264854874e-05,
      -4.884470357881231e-05,
      -0.00014041312205313337,
      -0.00023045445117983291,
      -0.00031899407829267883,
      -0.00040605698465933314,
      -0.0004916677544655278,
      -0.0005758506906775561,
      -0.0006586295921498586,
      -0.0007400279171141143,
      -0.000820068646228506,
      -0.0008987744873935984,
      -0.0009761676275822431,
      -0.0010522699665812105,
      -0.0011271029544862152,
      -0.0012006879052509545,
      -0.0012730456411376274,
      -0.0013441965811052928,
      -0.0014141608144000756,
      -0.0014829581604893741,
      -0.0015506081515267091,
      -0.00161712987966281,
      -0.0016825421931901238,
      -0.001746863528799294,
      -0.0018101120156587094,
      -0.0018723056612070148,
      -0.001933462071901268,
      -0.0019935984141323687,
      -0.0020527317235969063,
      -0.0021108787237336963,
      -0.0021680558534233297,
      -0.0022242794079366914,
      -0.002279565341911904,
      -0.0023339292049704553,
      -0.002387386406204917,
      -0.002439952058346431,
      -0.0024916409481503398,
      -0.0025424677661709935,
      -0.002592446916317717,
      -0.002641592508789539,
      -0.002689918434591969,
      -0.0027374383819957666,
      -0.002784165686436702,
      -0.0028301135421983873,
      -0.002875295104998048,
      -0.002919723187338991,
      -0.0029634103725695907,
      -0.0030063688669242565,
      -0.0030486108911008196,
      -0.003090148397334555,
      -0.0031309931291344005,
      -0.003171156559232471,
      -0.0032106500872437034,
      -0.0032494849827543475,
      -0.0032876721812748633,
      -0.0033252224226826914,
      -0.003362146465332318,
      -0.00339845471461258,
      -0.003434157397388843,
      -0.0034692646658311616,
      -0.0035037864464676524,
      -0.0035377324090635084,
      -0.0035711121955915317,
      -0.0036039352478847747,
      -0.0036362108832431518,
      -0.0036679482034259426,
      -0.0036991561878949794,
      -0.003729843627168226,
      -0.003760019278315539,
      -0.0037896916638145038,
      -0.003818869194161272,
      -0.003847560105485817,
      -0.0038757724599737314,
      -0.0039035142094351266,
      -0.003930793232790557,
      -0.003957617367177169,
      -0.003983994228683114,
      -0.0040099311594499615,
      -0.004035435504799745,
      -0.004060514406572103,
      -0.004085175002892487,
      -0.004109424354514097,
      -0.004133269262490224,
      -0.004156716530496974
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334380853122658,
      10.09240192485067,
      9.843646242779775,
      9.590986625899209,
      9.337018954911679,
      9.083977541783197,
      8.833721855031456,
      8.587725272891603,
      8.34706959513966,
      8.112468464899031,
      7.884305679749126,
      7.662683834441361,
      7.447478609046871,
      7.238394172801792,
      7.035016012704672,
      6.836858647283014,
      6.643406808388725,
      6.454149592248267,
      6.268607727201288,
      6.086354489823783,
      5.90702758818945,
      5.730326041075012,
      5.556013347240011,
      5.383936061009952,
      5.214015284395592,
      5.046237363798806,
      4.880678407700745,
      4.717535267995674,
      4.557086033360464,
      4.399639893303821,
      4.245530645988709,
      4.095128905902602,
      3.948820677159945,
      3.806977821063805,
      3.6699468795763317,
      3.5380372030563745,
      3.411511053144469,
      3.2905774421260117,
      3.1753885645312674,
      3.066031550575861,
      2.962516579058053,
      2.8647820941979423,
      2.7726865448665015,
      2.6860037797521157,
      2.604475812186362,
      2.5278449967144496,
      2.4558422636697,
      2.388199971590071,
      2.324650558171742,
      2.264906805663822,
      2.208613266025301,
      2.15539776128703,
      2.1049266116692866,
      2.0568755218919033,
      2.0109535357269857,
      1.9669138270354425,
      1.9245593405757384,
      1.8837228074331631,
      1.844266254427149,
      1.8060739033139364,
      1.7690420619668847,
      1.7330864527808791,
      1.6981384522654128,
      1.6641406283127556,
      1.6310436844986376,
      1.5988043596928212,
      1.5673863135031025,
      1.5367609583009878,
      1.5069021055018152,
      1.4777841418398752,
      1.4493816988772519,
      1.4216699663356915,
      1.3946251026736538,
      1.3682230637299044,
      1.342439938225264,
      1.3172535963195882,
      1.2926433558217718,
      1.268589757328189,
      1.245074402639333,
      1.2220798356393432,
      1.1995894534144067,
      1.1775874333103273,
      1.1560586751674553,
      1.134989390882147,
      1.1143671974633798,
      1.0941803052176913,
      1.0744173968694906,
      1.055067138701686,
      1.0361183149307436,
      1.017559942108601,
      0.9993813341171649,
      0.9815721371603346,
      0.9641223448448685,
      0.9470223011136434,
      0.9302626960627136,
      0.9138345573574156,
      0.8977292385131433,
      0.881938407017846,
      0.8664540311827077,
      0.8512683676480491,
      0.8363739477406181,
      0.821763566056097,
      0.8074302677091431,
      0.7933673374500265,
      0.7795682891555837,
      0.7660268548317269,
      0.7527369748972959,
      0.73969278927556,
      0.7268886287366711,
      0.7143190061051822,
      0.7019786087454076,
      0.6898622907308076,
      0.6779650658955714,
      0.6662821011825855,
      0.654808709948961,
      0.6435403464912577,
      0.632472599892428,
      0.6216011883928426,
      0.6109219544646475,
      0.6004308456617616,
      0.5901238690664221,
      0.5799971490471063,
      0.5700469417920055,
      0.5602696209123564,
      0.5506618418012148,
      0.5412211396453345,
      0.5319450864033815,
      0.522830972510014,
      0.5138759409595356,
      0.5050770704369989,
      0.49643142654034106,
      0.48793609355144596,
      0.47958819375914835,
      0.4713848984703413,
      0.46332343454007835,
      0.45540108710402133,
      0.4476152011179466,
      0.4399631816058064,
      0.4324424926152235,
      0.42505074767261997,
      0.4177859119287116,
      0.4106459198660383,
      0.40362863273164273,
      0.3967318843269805,
      0.3899535091830852,
      0.3832913597706833,
      0.3767433172987269,
      0.3703072975765983,
      0.3639812543925584,
      0.3577632055582167,
      0.35165134269556936,
      0.34564389968953013,
      0.33973908337166614,
      0.3339350975993672,
      0.32823015798166594,
      0.3226225014929708,
      0.3171103914121304,
      0.31169212047506595,
      0.30636604103226966,
      0.3011305506862219,
      0.2959840613058841,
      0.29092500543953925,
      0.2859518399854787,
      0.2810630479967523,
      0.2762571396756072,
      0.2715326529225526,
      0.2668881533585955,
      0.26232223391488135,
      0.2578335143485161,
      0.2534205995913397,
      0.24908193312992874,
      0.24481599654967312,
      0.24062138481905426,
      0.23649677317951456,
      0.23244089639121093,
      0.22845253479585004,
      0.22453050563493845,
      0.22067365701018551,
      0.21688108663523806,
      0.21315216189859532,
      0.20948612514138737,
      0.20588210532206364,
      0.20233916635699653,
      0.19885633721224938,
      0.19543263169948946,
      0.192066979127907,
      0.18875827227777517,
      0.18550546178430347,
      0.18230754205595653,
      0.1791635416789292,
      0.17607251684975084,
      0.1730335474375167,
      0.17004573407178228,
      0.1671081962400227,
      0.16422007100120545,
      0.1613805117638621,
      0.15858868786983626,
      0.1558437839781236,
      0.153144999476143,
      0.1504915481211983,
      0.14788265790504282,
      0.14531757047393112,
      0.14279554077075587,
      0.14031583714033874,
      0.1378777407476758,
      0.13548054532549114,
      0.13312355707247842,
      0.1308060943401651,
      0.1285274873746159,
      0.12628707803015646,
      0.12408421987431661,
      0.12191827754599094,
      0.11978862670767552,
      0.11769465402508698,
      0.11563575666639095,
      0.11361134231791103,
      0.11162082884493799,
      0.10966364415085163,
      0.10773922608097558,
      0.10584702211759142,
      0.10398648919486081,
      0.10215709376783674,
      0.1003583113849501,
      0.09858962648181688,
      0.09685053242722773,
      0.09514053128119897,
      0.09345913360789575,
      0.09180585847673202,
      0.09018023300899464,
      0.08858179241020502,
      0.08701007976306223,
      0.08546464606108303,
      0.08394504985272379,
      0.08245085728158312,
      0.0809816418472398,
      0.07953698442786487,
      0.07811647282937073,
      0.07671970187767263,
      0.0753462733643614,
      0.07399579574666497,
      0.07266788412592529,
      0.0713621602944525,
      0.07007825228843052,
      0.06881579437004445,
      0.06757442719147262,
      0.06635379747024524,
      0.06515355770870114,
      0.06397336633879552,
      0.06281288759907913,
      0.0616717913821411,
      0.06054975322685078,
      0.05944645403591686,
      0.058361580248931774,
      0.05729482339968009,
      0.056245880319225866,
      0.05521445291629649,
      0.054200248183723106,
      0.05320297776850249,
      0.052222358568283105,
      0.05125811199502488,
      0.05030996425793089,
      0.04937764606958483,
      0.048460892734881016,
      0.04755944403431926,
      0.04667304407678576,
      0.04580144125779308,
      0.04494438825299666,
      0.04410164194489712,
      0.04327296309232892,
      0.042458116587420616,
      0.041656871244330616,
      0.04086899980025916,
      0.0400942788138173,
      0.03933248855252099,
      0.038583412932735386,
      0.037846839454185266,
      0.03712255937760617,
      0.036410367267389665,
      0.035710061177345945,
      0.03502144256948566,
      0.03434431616304911,
      0.03367849007016642,
      0.033023775626173334,
      0.032379987136710205,
      0.031746942145530296,
      0.031124461358467415,
      0.030512368274121914,
      0.029910489474239032,
      0.029318654410826733,
      0.02873669539503761,
      0.028164447469828314,
      0.027601748490897318,
      0.02704843902690206,
      0.026504362315211052,
      0.025969364234284927,
      0.025443293101769328,
      0.02492600001636444,
      0.024417338472510992,
      0.023917164391667505,
      0.023425336048538695,
      0.02294171417153241,
      0.022466161728477027,
      0.021998544001208334,
      0.021538728681389372,
      0.02108658542899405,
      0.02064198624627801,
      0.02020480516734555,
      0.019774918331037547,
      0.019352204093881914,
      0.018936542757032403,
      0.01852781655559268,
      0.018125909674371197,
      0.017730708430241097,
      0.01734210097931694,
      0.01695997717140333,
      0.016584228773641418,
      0.016214749446970836,
      0.015851434539415475,
      0.015494181197585565,
      0.015142888243180509,
      0.01479745619648828,
      0.014457787255140193,
      0.014123785407042469,
      0.013795356098497703,
      0.013472406251388893,
      0.013154844375370987,
      0.012842580571767948,
      0.012535526448151127,
      0.012233595070714772,
      0.011936701049582419,
      0.011644760273723635,
      0.011357690096642748,
      0.01107540919153063,
      0.010797837739194556,
      0.010524897152865698,
      0.010256510139864703,
      0.009992600728973957,
      0.009733094144313916,
      0.009477916906282623,
      0.009226996906085305,
      0.008980263065458686,
      0.00873764556653801,
      0.008499075762610987,
      0.008264486067848555,
      0.008033809997208156,
      0.007806982395737223,
      0.0075839390299144915,
      0.007364616736544571,
      0.007148953416594467,
      0.006936887994984465,
      0.006728360543578373,
      0.006523312039640653,
      0.006321684305950115,
      0.006123420323280103,
      0.00592846394923359,
      0.005736759946187981,
      0.005548254177806875,
      0.005362893275752223,
      0.005180624799126048,
      0.0050013971242365615,
      0.004825159521778767,
      0.004651862065935586,
      0.004481455667182796,
      0.0043138921408114,
      0.004149124081109113,
      0.003987104796118936,
      0.003827788417213679,
      0.0036711299607684934,
      0.003517084960502567,
      0.003365609859358619,
      0.0032166618064601513,
      0.003070198692639039,
      0.0029261789656192905,
      0.002784561824121078,
      0.0026453072923607324,
      0.002508375986924073,
      0.002373729127708582,
      0.0022413285508410723,
      0.00211113676891927,
      0.001983116963638515,
      0.0018572329241913579,
      0.001733448955843227,
      0.0016117299497574768,
      0.0014920416078026257,
      0.00137434995798373,
      0.0012586217300235764,
      0.0011448242629766945,
      0.0010329253323062726,
      0.0009228932016278563,
      0.0008146967334806297,
      0.0007083052861997201,
      0.000603688701562751,
      0.0005008173966556823,
      0.00039966228551123614,
      0.00030019471613285543,
      0.00020238652322379554,
      0.00010621007670321933,
      1.1638160472313849e-05,
      -8.135599440536962e-05,
      -0.0001727987830702496,
      -0.0002627160950181427,
      -0.0003511333458577904,
      -0.0004380756153622438,
      -0.0005235674339643597,
      -0.0006076329748396396,
      -0.0006902960084631786,
      -0.00077158008517528,
      -0.0008515080805241789,
      -0.0009301026669186936,
      -0.0010073860653769698,
      -0.001083380075464546,
      -0.0011581062755099928,
      -0.0012315858272571598,
      -0.0013038395844638924,
      -0.0013748879586798278,
      -0.00144475105636305,
      -0.001513448630634407,
      -0.0015810001335388063,
      -0.0016474245950473495,
      -0.0017127408824257,
      -0.001776967538689927,
      -0.0018401227347361593,
      -0.0019022243280072662,
      -0.0019632899515351905,
      -0.0020233368797762273,
      -0.0020823820579991444,
      -0.002140442169031507,
      -0.0021975335969448436,
      -0.0022536724977291842,
      -0.0023088748562402855,
      -0.0023631563580991176,
      -0.0024165323493731314,
      -0.0024690178021122638,
      -0.0025206276334630677,
      -0.0025713765416472715,
      -0.00262127884100423,
      -0.002670348632582834,
      -0.002718599783311063,
      -0.0027660458723056626,
      -0.0028127004413026216,
      -0.0028585767233681248,
      -0.002903687612276303,
      -0.0029480458847891376,
      -0.0029916641936180216,
      -0.0030345548308774025,
      -0.0030767299734281283,
      -0.0031182015017251308,
      -0.00315898107839933,
      -0.0031990803656466375,
      -0.00323851067022152,
      -0.003277283299682083,
      -0.0033154090596385763,
      -0.0033528986715014434,
      -0.0033897628463720863,
      -0.003426012059888143,
      -0.003461656453448779,
      -0.0034967061667118687,
      -0.0035311712245953857,
      -0.0035650613285900788,
      -0.0035983860348629457,
      -0.0036311547663286747,
      -0.0036633768303728207,
      -0.003695061322075795,
      -0.003726217197977777,
      -0.0037568532984911924,
      -0.0037869782871787112,
      -0.003816600640291079,
      -0.0038457287627386818,
      -0.003874371021027322,
      -0.0039025354899265394,
      -0.003930230168594702,
      -0.003957462846664251,
      -0.003984241166499522,
      -0.004010572761503161,
      -0.00403646503783727,
      -0.004061925362694459,
      -0.00408696092774849,
      -0.004111578783575324,
      -0.004135785918580423,
      -0.0041595892035186325,
      -0.004182995386672857
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334376662769484,
      10.092388542447218,
      9.843618767998057,
      9.590940294126122,
      9.336950081137045,
      9.083883590125247,
      8.833601302468193,
      8.587577327646363,
      8.3468939456031,
      8.112265116320517,
      7.884074824709543,
      7.662425756620514,
      7.4471936176745395,
      7.238082567164413,
      7.034678071123341,
      6.836494634917307,
      6.643016999486641,
      6.453734302148177,
      6.268167350688971,
      6.085889555348457,
      5.906538877756806,
      5.729814611329253,
      5.5554804709716965,
      5.383383245724623,
      5.213444137082987,
      5.045649742543612,
      4.880076940993325,
      4.716923273241783,
      4.556466932489346,
      4.399017107264173,
      4.2449076548947,
      4.094509384524196,
      3.948208160592574,
      3.8063756368293946,
      3.6693580870985523,
      3.5374645541134866,
      3.4109569502749375,
      3.2900439091080216,
      3.1748772320100334,
      3.065543532874555,
      2.9620524500137106,
      2.8643418338748554,
      2.7722695485788043,
      2.6856088327430183,
      2.6041015579932996,
      2.5274898735995475,
      2.455504616850617,
      2.387878125500388,
      2.3243427982315708,
      2.264611228784483,
      2.2083274957734513,
      2.1551197176316563,
      2.104654354002742,
      2.056607175959993,
      2.010687606912014,
      1.966649210798919,
      1.9242952193855345,
      1.8834585743389756,
      1.8440014801466318,
      1.8058081751735278,
      1.768775056968482,
      1.732817960773727,
      1.6978683411065143,
      1.6638688200498668,
      1.6307701383597168,
      1.5985290600355717,
      1.5671094894397228,
      1.536482946547865,
      1.5066231445651297,
      1.47750440475457,
      1.4491013093300018,
      1.4213890776937508,
      1.3943439179700947,
      1.3679417544499395,
      1.342158619984169,
      1.316972349038366,
      1.2923622371202879,
      1.2683088103556963,
      1.2447936613941457,
      1.2217993290495208,
      1.1993092063497752,
      1.1773074685428564,
      1.1557790141966449,
      1.134710071938895,
      1.1140882589847254,
      1.0939017901721075,
      1.0741393443598681,
      1.0547895800800877,
      1.0358412770597307,
      1.0172834488706137,
      0.9991054077005973,
      0.9812967989195469,
      0.963847615126466,
      0.9467482000317813,
      0.9299892433938497,
      0.9135617721652652,
      0.8974571399279843,
      0.8816670141864078,
      0.8661833628996541,
      0.8509984421249878,
      0.8361047834795848,
      0.8214951812856099,
      0.8071626806210199,
      0.7931005660665827,
      0.7793023511851286,
      0.7657617677391296,
      0.7524727561153225,
      0.7394294560227488,
      0.7266261977978767,
      0.7140574941601799,
      0.701718031795592,
      0.6896026645822544,
      0.6777064061736123,
      0.666024423132168,
      0.6545520285808981,
      0.643284676361901,
      0.6322179552293635,
      0.6213475831085825,
      0.6106694021610366,
      0.6001793595488552,
      0.5898734615406117,
      0.579747832684289,
      0.5697987287556885,
      0.5600225233711686,
      0.55041591277362,
      0.5409764874637631,
      0.5317017806936247,
      0.5225890582508074,
      0.5136354477616987,
      0.5048380178983972,
      0.49619382818760127,
      0.4876999588469409,
      0.4793535295029348,
      0.4711517097292247,
      0.4630917248267574,
      0.4551708592828769,
      0.4473864575139818,
      0.43973592405576795,
      0.4322167224097393,
      0.4248264884145892,
      0.4175631872525697,
      0.41042474398452733,
      0.4034090137366249,
      0.3965138264469711,
      0.38973701403004046,
      0.3830764274467767,
      0.3765299465260585,
      0.3700954864802216,
      0.3637710004882221,
      0.35755451078263195,
      0.351444215046423,
      0.34543834242308596,
      0.33953509648575275,
      0.33373267921065025,
      0.3280293051077208,
      0.3224232102040364,
      0.316912657027406,
      0.31149593864375635,
      0.3061714086102657,
      0.30093746342027594,
      0.2957925142607289,
      0.2907349930372245,
      0.2857633561420361,
      0.28087608640750544,
      0.2760716939445718,
      0.2713487164606752,
      0.2667057193299213,
      0.2621412953197868,
      0.2576540641812212,
      0.2532426333601577,
      0.2489054501804869,
      0.24464099359872993,
      0.24044785697217458,
      0.2363247146734222,
      0.2322703006948661,
      0.22828339489842556,
      0.22436281408850717,
      0.2205074062879982,
      0.21671626032867816,
      0.2129887430034396,
      0.20932409968123752,
      0.20572146150629841,
      0.20217989351711932,
      0.19869842560676063,
      0.1952760710236231,
      0.19191175602700922,
      0.1886043742994573,
      0.1853528780240597,
      0.18215626253634853,
      0.17901355697325091,
      0.1759238179486661,
      0.17288612545749754,
      0.1698995801670299,
      0.16696330150108785,
      0.16407642658789495,
      0.16123810889793475,
      0.1584475178465008,
      0.15570383810697203,
      0.15300626899014078,
      0.15035402430120026,
      0.14774633192375822,
      0.14518243344892703,
      0.142661583925015,
      0.14018305158120006,
      0.13774611763906003,
      0.13535007584384584,
      0.13299423221594958,
      0.1306779050802522,
      0.1284004248072606,
      0.12616113334265844,
      0.12395938407043239,
      0.12179454161522961,
      0.11966598181358214,
      0.11757309122906368,
      0.11551526708399039,
      0.1134919169563282,
      0.11150245873291494,
      0.10954632041102591,
      0.1076229398243543,
      0.1057317644964476,
      0.10387225134141509,
      0.1020438668406809,
      0.10024608653905852,
      0.09847839501650993,
      0.09674028553977922,
      0.09503126018903908,
      0.09335082953100944,
      0.09169851254324111,
      0.09007383647211002,
      0.08847633651543514,
      0.08690555593677796,
      0.08536104578763964,
      0.08384236452650172,
      0.0823490784305666,
      0.0808807610134173,
      0.0794369930539069,
      0.07801736250768863,
      0.07662146420851526,
      0.07524890004277668,
      0.07389927853845779,
      0.07257221479934949,
      0.07126733057421697,
      0.0699842539776634,
      0.06872261939313028,
      0.06748206738940787,
      0.06626224462743745,
      0.06506280374511364,
      0.06388340333056344,
      0.06272370769811969,
      0.06158338665945539,
      0.060462115817940754,
      0.059359576222398014,
      0.05827545426413464,
      0.05720944156480833,
      0.05616123498889634,
      0.055130536507028316,
      0.054117053081374364,
      0.05312049661457215,
      0.052140583818193524,
      0.051177036290420926,
      0.05022958024596018,
      0.04929794654660474,
      0.048381870501211524,
      0.04748109188920996,
      0.046595354927673596,
      0.045724408055008985,
      0.04486800384802262,
      0.044025899289025304,
      0.04319785530515543,
      0.042383636774289024,
      0.04158301262575666,
      0.040795755631825935,
      0.040021642306162425,
      0.039260453026592965,
      0.03851197182567675,
      0.03777598617969405,
      0.037052287433907954,
      0.03634067025683048,
      0.035640932718003476,
      0.03495287632767326,
      0.03427630593071959,
      0.033611029683622465,
      0.032956858840363375,
      0.032313607830038595,
      0.03168109437264967,
      0.03105913904076456,
      0.030447565449735068,
      0.029846200262214764,
      0.02925487292461395,
      0.028673415783291994,
      0.028101663893784545,
      0.02753945524145512,
      0.026986630553340926,
      0.02644303310826608,
      0.02590850882371125,
      0.02538290610505296,
      0.024866075996847217,
      0.024357872045531238,
      0.023858150171853706,
      0.023366768781289186,
      0.022883588617200055,
      0.022408472686596733,
      0.0219412863027229,
      0.021481897187847654,
      0.02103017503131431,
      0.0205859918831707,
      0.020149221900795787,
      0.019719741295386225,
      0.01929742847033243,
      0.01888216379311384,
      0.018473829533829096,
      0.018072309989279434,
      0.017677491379468425,
      0.017289261859807507,
      0.01690751144547128,
      0.016532132000331348,
      0.01616301719477103,
      0.015800062457902796,
      0.015443164924086077,
      0.015092223443109832,
      0.014747138673363108,
      0.014407812838935937,
      0.014074149747107894,
      0.013746054856257689,
      0.013423435350564282,
      0.013106199941490308,
      0.012794258643485467,
      0.012487523044555596,
      0.0121859062392154,
      0.011889322939478985,
      0.011597689070344063,
      0.011310922019073969,
      0.011028940528751963,
      0.010751664727188713,
      0.01047901614462734,
      0.010210917412757049,
      0.009947292635682036,
      0.009688067187550503,
      0.009433167667962074,
      0.009182521862064594,
      0.008936058832359718,
      0.00869370878067091,
      0.008455402971204734,
      0.008221073855480513,
      0.007990655144249426,
      0.007764081553904757,
      0.007541289033634811,
      0.00732221438684929,
      0.007106795634074952,
      0.006894971731492576,
      0.006686682630238056,
      0.006481869288847844,
      0.006280473823506075,
      0.006082439204198856,
      0.005887709253794015,
      0.005696228815458909,
      0.005507943714336499,
      0.005322800691307227,
      0.0051407472574730596,
      0.004961731838043755,
      0.004785703760884411,
      0.004612613159212381,
      0.004442410992190298,
      0.004275049037133039,
      0.00411047985889686,
      0.003948656929246416,
      0.0037895344188555668,
      0.0036330672780223784,
      0.0034792111809129065,
      0.0033279225932617645,
      0.0031791586521536155,
      0.003032877265172083,
      0.002889037002415214,
      0.002747596946376246,
      0.002608517078694322,
      0.0024717580590933753,
      0.002337281204887346,
      0.0022050484661310247,
      0.002075022403573656,
      0.0019471661117525347,
      0.0018214432965522834,
      0.0016978184636367896,
      0.0015762566518668676,
      0.0014567233914087245,
      0.0013391848356893907,
      0.0012236076602044057,
      0.0011099591799520253,
      0.0009982072655850785,
      0.0008883201790375718,
      0.0007802667288170908,
      0.0006740164403468146,
      0.0005695392388860592,
      0.00046680556066208695,
      0.000365786204907439,
      0.00026645256911801696,
      0.0001687765175596988,
      7.273049375342244e-05,
      -2.1712823303964227e-05,
      -0.00011458020020228999,
      -0.00020589779522936058,
      -0.00029569148340618075,
      -0.00038398676754704443,
      -0.000470808604730839,
      -0.0005561816124349868,
      -0.0006401300315705955,
      -0.0007226775735385483,
      -0.0008038477106338816,
      -0.0008836632782402025,
      -0.0009621467872708611,
      -0.0010393206142152761,
      -0.0011152066818548457,
      -0.0011898264373614437,
      -0.0012632009680558502,
      -0.0013353510461713255,
      -0.0014062970959722943,
      -0.0014760593310414714,
      -0.001544657439299096,
      -0.0016121107812468013,
      -0.001678438427666261,
      -0.0017436592473928554,
      -0.0018077916885572388,
      -0.0018708539592389257,
      -0.0019328639273373668,
      -0.001993839063338143,
      -0.0020537967253492855,
      -0.0021127538452703465,
      -0.002170727167391067,
      -0.002227733040290315,
      -0.0022837875830404863,
      -0.0023389066846956764,
      -0.0023931059840844216,
      -0.0024464009501977816,
      -0.0024988066059639497,
      -0.0025503376760426005,
      -0.0026010088101832453,
      -0.0026508344498955456,
      -0.0026998286624549442,
      -0.0027480052026081377,
      -0.0027953778399931123,
      -0.002841959955061838,
      -0.0028877646618928224,
      -0.002932805050369593,
      -0.002977093874844169,
      -0.003020643623512889,
      -0.003063466650071737,
      -0.003105575056744955,
      -0.003146980799098161,
      -0.0031876956250220375,
      -0.0032277309551729536,
      -0.0032670982141880123,
      -0.0033058085192569846,
      -0.0033438728829667725,
      -0.0033813020210380707,
      -0.0034181065342832996,
      -0.003454296855035911,
      -0.003489883211532215,
      -0.003524875693612546,
      -0.0035592842731767683,
      -0.0035931186590084582,
      -0.0036263884111894383,
      -0.0036591030294201854,
      -0.003691271805948852,
      -0.003722903779224071,
      -0.0037540077823703206,
      -0.0037845927256184315,
      -0.0038146673197890883,
      -0.0038442400595877038,
      -0.0038733192949627405,
      -0.0039019133214227442,
      -0.003930030240637902,
      -0.003957677979503213,
      -0.0039848643723683795,
      -0.004011597077168246,
      -0.004037883598981311,
      -0.004063731459669597,
      -0.004089148055618083,
      -0.004114140508488721,
      -0.004138715896946082,
      -0.004162881195211092,
      -0.004186643192503751,
      -0.004210008710361217
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334372475162155,
      10.092375169088411,
      9.843591311885994,
      9.590893990226538,
      9.33688124588369,
      9.083789687398069,
      8.83348081045289,
      8.587429452358894,
      8.346718374424162,
      8.112061853714204,
      7.883844066066673,
      7.662167787080808,
      7.446908748863778,
      7.237771099210864,
      7.034340280928195,
      6.836130785760528,
      6.642627365584545,
      6.453319198967385,
      6.267727174286138,
      6.08542484829594,
      5.906050434764556,
      5.729303487968259,
      5.55494793848683,
      5.38283080975263,
      5.212873403471394,
      5.045062566795554,
      4.879475949780682,
      4.716311782722616,
      4.5558483633167235,
      4.398394878896459,
      4.2442852458739795,
      4.093890468725835,
      3.947596270316793,
      3.805774095706325,
      3.6687699502924978,
      3.536892568716226,
      3.4104035132633883,
      3.2895110402368877,
      3.1743665578914455,
      3.065056164984943,
      2.9615889606998507,
      2.863902200280556,
      2.771853164617735,
      2.685214482750452,
      2.6037278849662755,
      2.527135316307298,
      2.4551675208020742,
      2.3875568145470907,
      2.324035558362493,
      2.264316158612986,
      2.2080422197184033,
      2.154842157517598,
      2.1043825704813997,
      2.056339296783934,
      2.0104221396133926,
      1.966385052410867,
      1.9240315520405569,
      1.8831947913833718,
      1.843737152689396,
      1.8055428912781957,
      1.7685084942333502,
      1.7325499099584167,
      1.6975986713408995,
      1.6635974535906928,
      1.6304970342398974,
      1.5982542030807652,
      1.5668331625856946,
      1.5362055797061087,
      1.5063449891006933,
      1.4772256350278439,
      1.4488220949078874,
      1.4211095772897497,
      1.3940642584715461,
      1.3676620492898,
      1.3418789475438524,
      1.3166927658338692,
      1.2920827854789594,
      1.268029523839073,
      1.2445145678644687,
      1.221520453313255,
      1.1990305712082843,
      1.1770290958279481,
      1.1555009250786008,
      1.1344323045670117,
      1.113810852565898,
      1.0936247874083933,
      1.0738627842142023,
      1.0545134951576491,
      1.035565695237842,
      1.0170083947537671,
      0.9988309039535878,
      0.9810228667167405,
      0.9635742751937405,
      0.9464754724011268,
      0.9297171477517723,
      0.9132903282362178,
      0.8971863673348583,
      0.8813969321951791,
      0.8659139906068073,
      0.8507297988853721,
      0.8358368881514532,
      0.821228052427812,
      0.8068963365747371,
      0.7928350251771138,
      0.7790376315273606,
      0.7654978866785022,
      0.7522097309485958,
      0.7391673041237697,
      0.7263649360657213,
      0.7137971392950249,
      0.7014586003847315,
      0.6893441729723953,
      0.6774488702815775,
      0.6657678585752287,
      0.6542964506696123,
      0.6430301001334989,
      0.6319643950135188,
      0.62109505284547,
      0.6104179154806674,
      0.5999289296377307,
      0.5896241010495863,
      0.5794995539830813,
      0.5695515440514829,
      0.559776444539432,
      0.5501709993022794,
      0.540732845130947,
      0.5314594771619509,
      0.5223481381092681,
      0.5133959405046424,
      0.5045999433558243,
      0.49595719980555514,
      0.48746478599844806,
      0.47911981901612966,
      0.4709194665354611,
      0.46286095300361957,
      0.4549415619690012,
      0.4471586370439361,
      0.4395095821884359,
      0.431991860524008,
      0.42460312998555505,
      0.41734135605353784,
      0.41020445430261704,
      0.40319027380066447,
      0.39629664045563884,
      0.38952138375486856,
      0.3828623529312519,
      0.3763174269275603,
      0.36988451996329014,
      0.36356158472121747,
      0.35734664786611825,
      0.35123791312770436,
      0.3452336048562692,
      0.33933192355620895,
      0.33353106915684805,
      0.3278292549670088,
      0.32222471605327296,
      0.31671571454770536,
      0.31130054376967664,
      0.30597755810252386,
      0.3007451531095648,
      0.29560173902838377,
      0.2905457475284221,
      0.28557563449602835,
      0.2806898824288998,
      0.2758870010676159,
      0.2711655279645113,
      0.26652402825874855,
      0.26196109474379475,
      0.25747534697193153,
      0.2530653950791644,
      0.24872969022462882,
      0.2444667089630215,
      0.2402750430141239,
      0.23615336570306572,
      0.23210041029239692,
      0.22811495615150718,
      0.22419581976277778,
      0.22034184880384688,
      0.21655212323794826,
      0.21282600916079053,
      0.20916275522324254,
      0.20556149452653255,
      0.2020212934978918,
      0.19854118285522282,
      0.1951201742538867,
      0.19175719136947264,
      0.18845113006579786,
      0.18520094362524425,
      0.18200562819389274,
      0.1788642134325291,
      0.17577575620615984,
      0.1727393367430245,
      0.1697540558555212,
      0.16681903305037452,
      0.16393340524051192,
      0.16109632595403364,
      0.1583069645544769,
      0.15556450565528,
      0.15286814867653759,
      0.15021710733264854,
      0.14761060952748745,
      0.14504789686835803,
      0.1425282243072659,
      0.14005086014992849,
      0.13761508541553044,
      0.13522019390120835,
      0.1328654918443029,
      0.13055029753209738,
      0.12827394110001003,
      0.12603576454955412,
      0.12383512126118547,
      0.12167137596234531,
      0.11954390439911523,
      0.11745209308675118,
      0.11539533922115183,
      0.11337305050318462,
      0.11138464490740925,
      0.10942955029278238,
      0.10750720445886401,
      0.10561705496699704,
      0.10375855892999981,
      0.10193118269324113,
      0.10013440178808308,
      0.09836770079502997,
      0.09663057311004217,
      0.09492252086779658,
      0.09324305468470602,
      0.09159169351344756,
      0.08996796447501153,
      0.08837140301795203,
      0.08680155236229214,
      0.08525796348880559,
      0.08374019512966645,
      0.08224781344619402,
      0.080780391885214,
      0.07933751130603385,
      0.0779187596532954,
      0.07652373196721847,
      0.07515203004958253,
      0.07380326243404375,
      0.07247704432037418,
      0.07117299743680951,
      0.06989074988192198,
      0.06862993625978636,
      0.0673901972214239,
      0.06617117945508759,
      0.06497253562174926,
      0.06379392414718628,
      0.06263500944246425,
      0.06149546163083103,
      0.06037495622303644,
      0.05927317426711598,
      0.05818980214946227,
      0.05712453156878395,
      0.05607705945657428,
      0.05504708788501752,
      0.05403432394659814,
      0.05303847955070927,
      0.052059271521165906,
      0.05109642140697257,
      0.050149655434824594,
      0.049218704441026835,
      0.04830330386845892,
      0.047403193523341304,
      0.04651811766350131,
      0.04564782483274374,
      0.044792067781738096,
      0.04395060345900515,
      0.04312319275671171,
      0.04230960067560482,
      0.041509596165357446,
      0.04072295205281873,
      0.039949444921491016,
      0.03918885515500314,
      0.03844096685205515,
      0.03770556765041735,
      0.03698244885372801,
      0.03627140521642966,
      0.03557223486931625,
      0.03488473940383381,
      0.03420872360096618,
      0.03354399570055136,
      0.03289036712388077,
      0.0322476523356948,
      0.03161566893459935,
      0.03099423768505556,
      0.03038318223108008,
      0.02978232925370711,
      0.029191508341001413,
      0.028610551844003775,
      0.028039294978656905,
      0.027477575703264746,
      0.026925234696151823,
      0.026382115343306103,
      0.025848063590354006,
      0.02532292788087805,
      0.024806559358991655,
      0.024298811617677118,
      0.023799540679567716,
      0.02330860489165102,
      0.022825865070504787,
      0.022351184371348344,
      0.02188442820719157,
      0.021425464156051455,
      0.020974162123413482,
      0.02053039412033089,
      0.02009403434787508,
      0.01966495907966945,
      0.019243046756177752,
      0.018828177775894822,
      0.018420234522872662,
      0.01801910131304676,
      0.017624664475641476,
      0.017236812161900587,
      0.016855434384175517,
      0.01648042304926196,
      0.01611167185270995,
      0.01574907632030245,
      0.015392533691244365,
      0.015041942877874396,
      0.01469720445117407,
      0.01435822067065364,
      0.014024895463950839,
      0.013697134380917155,
      0.01337484459221739,
      0.013057934798840884,
      0.012746315134913956,
      0.012439897165262772,
      0.012138594142938402,
      0.011842320675159878,
      0.011550992827621034,
      0.01126452801060779,
      0.010982845043119374,
      0.010705864053256438,
      0.010433506563871523,
      0.010165695388386815,
      0.00990235462712187,
      0.009643409636465936,
      0.009388787003364823,
      0.00913841455624409,
      0.0088922214253772,
      0.008650137873011027,
      0.008412095248766564,
      0.008178026114676122,
      0.007947864133102065,
      0.007721544080157667,
      0.007499001850588335,
      0.007280174339652273,
      0.007064999551848442,
      0.006853416401989792,
      0.00664536501661259,
      0.006440786422254998,
      0.006239622663965076,
      0.0060418168006859205,
      0.0058473127134144025,
      0.005656055362247268,
      0.00546799048743286,
      0.005283064848255864,
      0.005101225924938507,
      0.004922422221423714,
      0.004746603145863144,
      0.004573718882203784,
      0.004403720410836096,
      0.004236559526092611,
      0.004072188939735901,
      0.003910562038083348,
      0.0037516329979340253,
      0.003595356803920356,
      0.003441689135512014,
      0.003290586498321566,
      0.003142006027829432,
      0.002995905608086603,
      0.0028522438835798846,
      0.002710980147957049,
      0.00257207441974921,
      0.0024354872790929216,
      0.0023011800310501177,
      0.002169114572721164,
      0.002039253479002764,
      0.0019115600912629814,
      0.001785998201475853,
      0.00166253220920618,
      0.0015411271025782764,
      0.0014217484735616675,
      0.0013043624528619499,
      0.0011889358314501745,
      0.0010754359747355002,
      0.0009638306815467983,
      0.0008540883378240689,
      0.0007461778241737937,
      0.0006400685337271867,
      0.0005357304110831038,
      0.0004331338214230231,
      0.00033224974591881853,
      0.00023304964243485795,
      0.0001355052952917115,
      3.9589130704735924e-05,
      -5.4725948823384704e-05,
      -0.00014746675986970835,
      -0.00023865956803053023,
      -0.0003283301910433658,
      -0.00041650411924540684,
      -0.0005032062849044245,
      -0.0005884612236736174,
      -0.0006722930882223847,
      -0.000754725584074219,
      -0.0008357820753114766,
      -0.0009154855936142634,
      -0.0009938587124928087,
      -0.0010709235976118234,
      -0.0011467021512705,
      -0.0012212157864769572,
      -0.0012944856192036334,
      -0.0013665324050347045,
      -0.0014373766398293943,
      -0.001507038347264459,
      -0.0015755372722792895,
      -0.001642892818514648,
      -0.001709123997194141,
      -0.0017742497118753493,
      -0.0018382883107878284,
      -0.0019012580724991754,
      -0.001963176781576347,
      -0.002024062059235007,
      -0.0020839310250309116,
      -0.0021428006635640026,
      -0.002200687700078349,
      -0.0022576084114784493,
      -0.0023135789769018916,
      -0.002368615331402659,
      -0.002422732916317443,
      -0.00247594715982531,
      -0.002528273168584668,
      -0.0025797256789946254,
      -0.002630319350554308,
      -0.002680068523997412,
      -0.0027289872591017023,
      -0.0027770893385974348,
      -0.0028243885260273945,
      -0.00287089825067192,
      -0.0029166316667793035,
      -0.002961601692434878,
      -0.003005821098386626,
      -0.0030493024437399214,
      -0.003092058055374151,
      -0.003134099967990865,
      -0.0031754400479246567,
      -0.0032160900904934717,
      -0.0032560616691086355,
      -0.003295366040709479,
      -0.0033340143620403774,
      -0.003372017472205868,
      -0.003409386215367782,
      -0.0034461311969997636,
      -0.0034822628192510067,
      -0.00351779129613878,
      -0.00355272684652292,
      -0.0035870792124249504,
      -0.003620858174515718,
      -0.0036540733678026094,
      -0.0036867340842355258,
      -0.003718849620697743,
      -0.0037504291056450617,
      -0.0037814813886165003,
      -0.0038120153803636305,
      -0.003842039706106707,
      -0.0038715628604108323,
      -0.0039005932276040337,
      -0.003929139095768907,
      -0.003957208460198613,
      -0.003984809264699587,
      -0.004011949362872736,
      -0.0040386364534761715,
      -0.004064878097929571,
      -0.004090681705486229,
      -0.00411605453051721,
      -0.004141003923683602,
      -0.0041655368454088055,
      -0.0041896601923178955,
      -0.004213380951448876,
      -0.004236705769705293
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33436830179321,
      10.092361838917071,
      9.843563934846088,
      9.590847808323897,
      9.336812579741379,
      9.083696002357701,
      8.833360583356512,
      8.5872818898838,
      8.346543163659454,
      8.111859002095597,
      7.883613765323098,
      7.661910320112742,
      7.446624423707711,
      7.237460214668089,
      7.034003115091153,
      6.835767604132515,
      6.6422384416916795,
      6.452904847569353,
      6.2672877898027215,
      6.08496097361498,
      5.905562863684803,
      5.728793273014437,
      5.55441634836058,
      5.382279347425523,
      5.212303672852209,
      5.0444764231310835,
      4.878876018060897,
      4.715701376403308,
      4.555230898117616,
      4.397773771415202,
      4.243663971785004,
      4.09327269799476,
      3.9469855315241476,
      3.80517370828073,
      3.668182965696992,
      3.5363217292997975,
      3.40985121245624,
      3.2889792933154385,
      3.1738569881000167,
      3.064569879815118,
      2.961126527690567,
      2.863463592403036,
      2.7714377730852653,
      2.6848210910761368,
      2.6033551363196237,
      2.526781649725426,
      2.4548312831558206,
      2.387236330742161,
      2.3237291163599583,
      2.264021858848109,
      2.2077576891347452,
      2.1545653192321397,
      2.1041114882452536,
      2.0560721026122604,
      2.010157344022865,
      1.9661215551308713,
      1.9237685377654858,
      1.8829316545296804,
      1.8434734653109035,
      1.805278242252447,
      1.768242561379041,
      1.7322824840396054,
      1.697329621018241,
      1.6633267015480673,
      1.6302245401183932,
      1.5979799752278145,
      1.5665575091579975,
      1.535928952554409,
      1.506067705310541,
      1.4769479097246963,
      1.4485440749553167,
      1.4208313643971966,
      1.3937859392870804,
      1.3673837109123164,
      1.3416006513855179,
      1.3164145572323513,
      1.291804699886594,
      1.2677515903015606,
      1.2442368120262899,
      1.2212428982717756,
      1.1987532391671798,
      1.1767520082608893,
      1.155224103539301,
      1.1341557872564523,
      1.113534678099682,
      1.0933489989270495,
      1.0735874210257241,
      1.0542385894524522,
      1.035291274730919,
      1.0167344843887827,
      0.9985575267744966,
      0.9807500446189602,
      0.9633020294038741,
      0.9462038233806124,
      0.929446115695516,
      0.913019933148744,
      0.8969166288882826,
      0.8811278699282541,
      0.8656456239066398,
      0.8504621469042712,
      0.8355699698115352,
      0.8209618867175463,
      0.8066309423749175,
      0.792570420972798,
      0.7787738353606584,
      0.7652349168768984,
      0.7519476055707448,
      0.7389060406731358,
      0.7261045518787504,
      0.7135376513325526,
      0.7012000251647675,
      0.6890865267459005,
      0.6771921688665876,
      0.6655121174344891,
      0.6540416850285778,
      0.6427763248596436,
      0.631711624892489,
      0.6208433024159479,
      0.6101671988597065,
      0.5996792602606003,
      0.5893754915518598,
      0.5792520169121813,
      0.5693050917557168,
      0.5595310892021712,
      0.5499268321668715,
      0.5404899592802824,
      0.5312179329674919,
      0.522107975210272,
      0.5131571852107218,
      0.5043626131245089,
      0.49572130681864196,
      0.48723033923973635,
      0.47888682483016065,
      0.47068792975721063,
      0.4626308772621592,
      0.454712950159852,
      0.4469314915133964,
      0.43928390483404994,
      0.4317676529645149,
      0.4243804158087197,
      0.41712015904324545,
      0.4099847889340572,
      0.40297214831157835,
      0.39608005930722046,
      0.3893063489040731,
      0.38264886478463195,
      0.37610548454818193,
      0.36967412144650624,
      0.3633527275886845,
      0.3571393340315101,
      0.3510321507270625,
      0.34502939735599747,
      0.3391292712997221,
      0.33332997041157814,
      0.32762970682110215,
      0.3220267146940525,
      0.31651925536892467,
      0.31110562289705995,
      0.3057841726994798,
      0.30055329906197703,
      0.2954114114480349,
      0.29035694077934787,
      0.28538834275021313,
      0.2805040995447125,
      0.27570272078336816,
      0.27098274387292914,
      0.2663427337408451,
      0.2617812827726746,
      0.2572970105748692,
      0.25288853017560015,
      0.24855429646756771,
      0.2442927832862574,
      0.24010258076505342,
      0.23598236106727632,
      0.2319308568526174,
      0.2279468470991093,
      0.22402914794117892,
      0.22017660683842719,
      0.2163882946826855,
      0.21266357687298426,
      0.20900170538072455,
      0.20540181545516104,
      0.2018629747609536,
      0.19838421458798014,
      0.19496454511358371,
      0.19160288791382352,
      0.1882981405901136,
      0.1850492576915102,
      0.18185523617692415,
      0.17871510611930216,
      0.17562792462514754,
      0.17259277197432601,
      0.16960874908901172,
      0.16667497566842554,
      0.163790588786716,
      0.16095474193001702,
      0.15816660438153504,
      0.1554253607113657,
      0.15273021025600278,
      0.15008036685349604,
      0.14747505821026477,
      0.14491352581507821,
      0.142395024782553,
      0.13991882337253458,
      0.13748420270584705,
      0.1350904564784541,
      0.13273689080121986,
      0.13042282394880644,
      0.1281475861445477,
      0.12591051940658357,
      0.12371097718180764,
      0.12154832405878703,
      0.11942193575063668,
      0.11733119883868832,
      0.11527551055034196,
      0.11325427857037199,
      0.11126692077769082,
      0.1093128651353381,
      0.10739154954315425,
      0.10550242159563218,
      0.10364493824418236,
      0.10181856592287764,
      0.10002278022186473,
      0.09825706563619026,
      0.09652091565607349,
      0.09481383235945118,
      0.09313532640910338,
      0.09148491679256943,
      0.08986213076898952,
      0.08826650367226084,
      0.0866975786884353,
      0.08515490692733702,
      0.0836380470764469,
      0.08214656539641209,
      0.08068003545361502,
      0.07923803812994124,
      0.07782016142280854,
      0.07642600029625016,
      0.07505515669345549,
      0.07370723913210257,
      0.07238186291510254,
      0.07107864984392438,
      0.0697972280605001,
      0.06853723211583977,
      0.06729830261299986,
      0.06608008635272908,
      0.06488223596088752,
      0.06370441010353475,
      0.06254627327853753,
      0.061407495441357346,
      0.06028775218206539,
      0.0591867246270635,
      0.058104099275671645,
      0.05703956786939786,
      0.055992827338006305,
      0.05496357986636828,
      0.0539515324213696,
      0.05295639698710884,
      0.05197789046508737,
      0.051015734571450894,
      0.050069655576897756,
      0.049139384461292415,
      0.04822465652330989,
      0.047325211709030646,
      0.046440794318860126,
      0.04557115302044127,
      0.04471604049316927,
      0.043875213663801656,
      0.043048433598376415,
      0.042235465266934426,
      0.0414360778101628,
      0.04065004409282272,
      0.039877140729958085,
      0.03911714814626885,
      0.03836985049103733,
      0.03763503538910388,
      0.03691249426517103,
      0.03620202186804878,
      0.03550341646340043,
      0.03481647957505136,
      0.034141016159152354,
      0.033476834396669014,
      0.03282374581656923,
      0.03218156489765742,
      0.031550109375078114,
      0.030929199992890115,
      0.03031866053625792,
      0.029718317696071975,
      0.02912800111129693,
      0.02854754320573687,
      0.027976779277611843,
      0.027415547256662155,
      0.026863687935749527,
      0.026321044628287247,
      0.02578746336367671,
      0.02526279275575319,
      0.024746883900566376,
      0.024239590474784762,
      0.023740768608191402,
      0.023250276740876197,
      0.022767975578238987,
      0.022293728277121425,
      0.02182740035883519,
      0.021368859604298244,
      0.02091797584153442,
      0.020474621169203844,
      0.020038669875699203,
      0.019609998303120744,
      0.019188484858856478,
      0.01877400999778939,
      0.01836645607168848,
      0.017965707555597836,
      0.017571650760513573,
      0.01718417380779187,
      0.016803166903276708,
      0.016428522008690546,
      0.016060132876500998,
      0.015697894989463782,
      0.015341705672798238,
      0.014991463837919966,
      0.014647070171558356,
      0.014308427007000687,
      0.013975438335868891,
      0.013648009666897864,
      0.013326048215251744,
      0.01300946271049271,
      0.012698163299597038,
      0.012392061709761724,
      0.012091071131232497,
      0.011795106194929465,
      0.011504083012936088,
      0.011217919135862614,
      0.010936533343760484,
      0.010659845900232941,
      0.01038777828412644,
      0.01012025334586807,
      0.009857195208394903,
      0.009598529421265073,
      0.00934418257928078,
      0.009094082556281401,
      0.008848158374831133,
      0.008606340347651861,
      0.008368559982216727,
      0.008134749731109106,
      0.007904843305909673,
      0.007678775537872072,
      0.007456482421212389,
      0.007237900932040453,
      0.007022969092650011,
      0.006811625830093566,
      0.006603811226248088,
      0.006399466467347842,
      0.006198533651206354,
      0.006000955719015539,
      0.005806676708251778,
      0.005615641520073101,
      0.0054277960034820796,
      0.005243086811857991,
      0.005061461530770066,
      0.00488286876484102,
      0.00470725793611338,
      0.004534579206313522,
      0.004364783542091774,
      0.004197822846863888,
      0.004033649803885201,
      0.0038722178814722874,
      0.0037134812903263947,
      0.003557395013598404,
      0.0034039149102544,
      0.0032529973378748497,
      0.003104599477903664,
      0.002958679485473161,
      0.0028151959116182387,
      0.002674107967039649,
      0.0025353756669298753,
      0.0023989596933337654,
      0.0022648213743748096,
      0.002132922742438809,
      0.002003226327711243,
      0.0018756953420087622,
      0.0017502936678781792,
      0.0016269857294017157,
      0.0015057366454474502,
      0.0013865119652222487,
      0.001269277889573298,
      0.001154001227066816,
      0.0010406492574523028,
      0.0009291899022365737,
      0.0008195914651027209,
      0.0007118229081981434,
      0.0006058537875922529,
      0.0005016539365917817,
      0.00039919377974136284,
      0.00029844435685675365,
      0.00019937717724994675,
      0.00010196419088237642,
      6.17769082451381e-06,
      -8.800965556933199e-05,
      -0.0001806244941004332,
      -0.0002716930666771978,
      -0.00036124105941733996,
      -0.0004492939010126161,
      -0.0005358766018348981,
      -0.0006210136610434261,
      -0.0007047292138114761,
      -0.000787046973343157,
      -0.0008679903748760605,
      -0.0009475822986351611,
      -0.001025845318946638,
      -0.001102801589114127,
      -0.0011784729157041276,
      -0.0012528808314370146,
      -0.0013260463807534147,
      -0.001397990336010661,
      -0.001468733164589353,
      -0.0015382948483816388,
      -0.0016066950576264683,
      -0.001673953221866994,
      -0.0017400883706780066,
      -0.0018051193232216248,
      -0.0018690645264227844,
      -0.0019319421658088693,
      -0.0019937700076434264,
      -0.0020545655071876824,
      -0.0021143458705499656,
      -0.002173128096985063,
      -0.0022309289247313415,
      -0.002287764718507211,
      -0.0023436515275003685,
      -0.002398605192903937,
      -0.0024526412128578613,
      -0.0025057750132796864,
      -0.002558021798605725,
      -0.0026093963185433145,
      -0.002659913021730921,
      -0.0027095862268071225,
      -0.002758430108561424,
      -0.0028064585312131394,
      -0.0028536850009101902,
      -0.0029001229031617574,
      -0.0029457854537033867,
      -0.002990685591323409,
      -0.0030348360224085593,
      -0.003078249238781983,
      -0.0031209375796614563,
      -0.0031629131846630165,
      -0.003204188022364919,
      -0.0032447737272490356,
      -0.003284681753798495,
      -0.0033239234403215716,
      -0.003362509958072237,
      -0.0034004521707967765,
      -0.0034377609379445087,
      -0.0034744468585079995,
      -0.0035105202235349224,
      -0.003545991311042761,
      -0.003580870152487978,
      -0.003615166668252858,
      -0.003648890464206628,
      -0.0036820512195998,
      -0.003714658298827989,
      -0.0037467209281228076,
      -0.0037782481809072624,
      -0.0038092490197427454,
      -0.0038397322106092694,
      -0.003869706535556556,
      -0.0038991804453821803,
      -0.003928162232956822,
      -0.003956660110091944,
      -0.003984682176245395,
      -0.004012236323161948,
      -0.004039330443907533,
      -0.004065972164784532,
      -0.004092169129925953,
      -0.004117928732135617,
      -0.004143258390151753,
      -0.00416816511975669,
      -0.004192655892066699,
      -0.004216737673542696,
      -0.004240417345263154,
      -0.004263701653619717
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334364154256091,
      10.09234858983598,
      9.843536714849122,
      9.590801875222947,
      9.336744267157792,
      9.083602788458895,
      8.833240953619061,
      8.587135056147773,
      8.34636881782353,
      8.111657151306446,
      7.883384603073357,
      7.661654130609794,
      7.446341517333338,
      7.237150890723389,
      7.03366765180178,
      6.835406266315814,
      6.641851503004005,
      6.4524926241451706,
      6.266850677139503,
      6.084499512668919,
      5.90507784648901,
      5.728285751754467,
      5.553887590804035,
      5.381730855062475,
      5.211737046945235,
      5.043893514966741,
      4.878279445295705,
      4.715094442615049,
      4.554617009220463,
      4.397156332795788,
      4.243046446838386,
      4.092658742441131,
      3.9463786584479656,
      3.8045772214661957,
      3.667599900048639,
      3.5357548113189,
      3.409302820359074,
      3.288451429150883,
      3.173351261449029,
      3.0640873857966944,
      2.9606678227224084,
      2.863028640424898,
      2.771025959866082,
      2.684431196314469,
      2.60298580088232,
      2.5264313123687994,
      2.4544982908861552,
      2.386919009832034,
      2.3234257570851478,
      2.2637305655010067,
      2.2074760948663674,
      2.154291353248933,
      2.1038432195549337,
      2.055807668557893,
      2.0098952610739045,
      1.9658607276752555,
      1.9235081545280435,
      1.8826711142160852,
      1.84321234294598,
      1.8050161298446041,
      1.7679791394069309,
      1.732017544980122,
      1.6970630352476404,
      1.6630583929959846,
      1.629954469289566,
      1.5977082154826707,
      1.5662844867603252,
      1.5356550532885673,
      1.505793204224178,
      1.476672992342064,
      1.448268868782512,
      1.4205559593227186,
      1.3935104144564776,
      1.3671081479878673,
      1.3413251087497926,
      1.3161390785688496,
      1.2915293202539146,
      1.2674763393960695,
      1.243961715905068,
      1.2209679811628074,
      1.198478523841306,
      1.1764775167965782,
      1.1549498575646238,
      1.1338818251167537,
      1.1132610390236544,
      1.093075726315328,
      1.0733145546447813,
      1.0539661618883123,
      1.0350193137182562,
      1.0164630150679559,
      0.9982865726572006,
      0.9804796280285197,
      0.9630321716946765,
      0.945934545650319,
      0.9291774387187752,
      0.9127518772450846,
      0.896649213927699,
      0.8808611158310602,
      0.8653795507733809,
      0.8501967740133186,
      0.8353053166883061,
      0.820697972409885,
      0.8063677859368376,
      0.7923080411975574,
      0.7785122510866958,
      0.7649741464934035,
      0.75168766709596,
      0.7386469518461147,
      0.725846329984811,
      0.7132803131182387,
      0.7009435875558895,
      0.6888310063087713,
      0.6769375818947794,
      0.6652584799741449,
      0.6537890127158328,
      0.6425246327219376,
      0.6314609278010043,
      0.6205936147400016,
      0.6099185345443324,
      0.5994316326907131,
      0.5891289135331937,
      0.5790065013305589,
      0.5690606511602956,
      0.5592877358125997,
      0.5496846570713738,
      0.5402490551107292,
      0.5309783600834761,
      0.521869773142291,
      0.5129203802896414,
      0.504127223466493,
      0.49548734483383877,
      0.4869978135053535,
      0.47865574191913324,
      0.47045829473049267,
      0.4624026939982796,
      0.45448622167369823,
      0.4467062203686073,
      0.43906009306521415,
      0.431545302170122,
      0.42415954975409675,
      0.41690080145481123,
      0.4097669539164005,
      0.4027558443844039,
      0.3958652909748962,
      0.3890931179527024,
      0.38243717128580806,
      0.3758953276992339,
      0.3694654997680869,
      0.36314563891274865,
      0.3569337807601479,
      0.3508281408741171,
      0.34482693420185223,
      0.33892835540733474,
      0.33313060041914144,
      0.32743187975396865,
      0.3218304267133773,
      0.3163245021706481,
      0.3109124006020378,
      0.3055924783240926,
      0.30036312846933033,
      0.2952227599011033,
      0.2901698029420175,
      0.28520271286218046,
      0.280319971554497,
      0.2755200883631935,
      0.27080160040539836,
      0.26616307254419025,
      0.2616030971329768,
      0.25712029359848887,
      0.2527132778305153,
      0.2483805086535787,
      0.24412045724288947,
      0.23993171210354042,
      0.23581294423417798,
      0.23176288540929557,
      0.22778031406019295,
      0.2238640462113906,
      0.22001292897371724,
      0.21622602418855252,
      0.21250269679564954,
      0.20884220205706974,
      0.20524367717560302,
      0.20170619107463342,
      0.19822877580257245,
      0.1948104400548371,
      0.19145010298629578,
      0.18814666416107315,
      0.18489907932709337,
      0.1817063462518736,
      0.17856749555616092,
      0.1754815846665922,
      0.17244769398753443,
      0.16946492451643977,
      0.1665323958891978,
      0.1636492451359726,
      0.16081462573646735,
      0.15802770701091348,
      0.15528767351398312,
      0.15259372455190925,
      0.14994507393586592,
      0.14734094939309494,
      0.14478059255652764,
      0.14226325848402535,
      0.13978821529800667,
      0.1373547440017856,
      0.13496213833318596,
      0.13260970442573997,
      0.13029676059549403,
      0.12802263704939684,
      0.12578667562923654,
      0.12358822976252248,
      0.12142666423236752,
      0.1193013548235765,
      0.11721168798357164,
      0.11515706102592146,
      0.11313688150890376,
      0.11115056739145233,
      0.1091975466623904,
      0.10727725712295871,
      0.10538914633496292,
      0.10353267137154053,
      0.10170729871429547,
      0.09991250386326306,
      0.09814777139665043,
      0.09641259492137913,
      0.09470647650691362,
      0.09302892686660492,
      0.09137946495138888,
      0.08975761802346265,
      0.08816292149121478,
      0.08659491865809876,
      0.08505316049858205,
      0.0835372057508416,
      0.08204662066688394,
      0.08058097894877725,
      0.07913986144056864,
      0.07772285628791765,
      0.07632955843290253,
      0.07495956967421073,
      0.07361249870737172,
      0.07228796097632129,
      0.07098557823177218,
      0.06970497867473704,
      0.06844579685332754,
      0.06720767352220344,
      0.06599025556607077,
      0.06479319567823498,
      0.06361615231167933,
      0.062458790096749775,
      0.06132077911407663,
      0.060201794986030746,
      0.05910151883609067,
      0.05801963716973907,
      0.05695584184238059,
      0.05590982977014717,
      0.05488130315919197,
      0.05386996912470664,
      0.05287553980256611,
      0.05189773207861091,
      0.050936267609450386,
      0.049990872743752336,
      0.04906127841276466,
      0.04814722020114942,
      0.04724843810727831,
      0.04636467641890035,
      0.045495683726066605,
      0.04464121290871116,
      0.04380102094353897,
      0.04297486889171404,
      0.0421625219275392,
      0.04136374908087999,
      0.0405783232484071,
      0.03980602107647946,
      0.039046623081308525,
      0.038299913478164034,
      0.03756568004727623,
      0.03684371411494177,
      0.036133810471957246,
      0.03543576750937028,
      0.034749386775551325,
      0.03407447334144426,
      0.0334108354469464,
      0.03275828452929209,
      0.03211663529495447,
      0.031485705543428194,
      0.030865316028670944,
      0.030255290528877522,
      0.029655455724383658,
      0.029065641373267694,
      0.028485679989501765,
      0.02791540678643167,
      0.027354659917404534,
      0.026803280046262545,
      0.02626111065338836,
      0.02572799783082473,
      0.02520379022741184,
      0.024688339156725754,
      0.02418149816161193,
      0.023683123338286517,
      0.023193073224904277,
      0.022711208750342833,
      0.022237393129071477,
      0.021771491818727503,
      0.021313372624938053,
      0.02086290550151434,
      0.02041996255839368,
      0.019984418063337266,
      0.019556148394674858,
      0.01913503205357364,
      0.01872094955064461,
      0.018313783313107485,
      0.017913417841396283,
      0.017519739517351408,
      0.017132636623454555,
      0.01675199919130306,
      0.01637771933409309,
      0.0160096908300393,
      0.015647809240623554,
      0.015291971901867873,
      0.014942077757207808,
      0.0145980274768342,
      0.014259723596087735,
      0.013927070063528344,
      0.013599972462223291,
      0.013278337951239502,
      0.012962075308702395,
      0.012651094879580108,
      0.01234530835749394,
      0.012044628998446227,
      0.01174897150943249,
      0.011458251993984748,
      0.011172387909137804,
      0.010891298136324445,
      0.0106149030129424,
      0.010343124096156396,
      0.010075884287935507,
      0.009813107856888544,
      0.00955472018561829,
      0.009300647955410494,
      0.009050819055560343,
      0.00880516263748856,
      0.008563609002370041,
      0.008326089613928547,
      0.008092537071148789,
      0.007862885174586508,
      0.007637068787590176,
      0.007415023803313507,
      0.007196687217491627,
      0.006981997103968393,
      0.006770892505164302,
      0.006563313606466706,
      0.006359201520563232,
      0.006158498291587834,
      0.005961147081362666,
      0.0057670918569963855,
      0.005576277565625871,
      0.005388650039068218,
      0.005204156105747101,
      0.005022743509161588,
      0.0048443607473577215,
      0.004668957144306383,
      0.004496482943605512,
      0.004326889278594613,
      0.004160128025116152,
      0.003996151803318724,
      0.003834914167188529,
      0.0036763693267133388,
      0.0035204723371645907,
      0.003367178979789052,
      0.003216445791935951,
      0.003068230061656298,
      0.002922489653665533,
      0.0027791832196634764,
      0.002638270080362835,
      0.002499710358468088,
      0.0023634646883665495,
      0.0022294944752633996,
      0.00209776163522918,
      0.0019682288595959238,
      0.001840859474495686,
      0.0017156173352987426,
      0.0015924668691293046,
      0.0014713731896353584,
      0.0013523018837018315,
      0.0012352191626019,
      0.0011200918438744462,
      0.0010068872338843814,
      0.000895573253786091,
      0.0007861182817472628,
      0.0006784913343177646,
      0.0005726617791836916,
      0.00046859966048282294,
      0.00036627547912151996,
      0.0002656602298609176,
      0.00016672535091336266,
      6.944277088574324e-05,
      -2.621508045809302e-05,
      -0.00012027545054604178,
      -0.00021276488747654814,
      -0.00030370963055751364,
      -0.000393135484050097,
      -0.00048106795074361606,
      -0.0005675318671158705,
      -0.0006525518003777586,
      -0.000736151756652784,
      -0.0008183555359190405,
      -0.0008991865012508782,
      -0.0009786674477259075,
      -0.0010568209210408894,
      -0.00113366916602665,
      -0.0012092339277313855,
      -0.0012835366831117113,
      -0.0013565984580091112,
      -0.0014284401199979105,
      -0.0014990819383905415,
      -0.0015685439946112796,
      -0.0016368459876347542,
      -0.0017040072284836344,
      -0.0017700468688944902,
      -0.0018349835309822134,
      -0.0018988356733382905,
      -0.0019616214275746586,
      -0.0020233586255985294,
      -0.0020840648183605252,
      -0.00214375709032632,
      -0.0022024524065326822,
      -0.0022601674820003264,
      -0.002316918643822385,
      -0.0023727219710500632,
      -0.00242759333954725,
      -0.0024815483188569487,
      -0.002534602188415699,
      -0.0025867700740676088,
      -0.002638066644794496,
      -0.002688506552109342,
      -0.002738104124843315,
      -0.0027868732854441783,
      -0.002834827916451217,
      -0.0028819816477186413,
      -0.0029283479481433277,
      -0.002973939847659296,
      -0.003018770294009621,
      -0.0030628521206961454,
      -0.003106197772785764,
      -0.00314881961051143,
      -0.0031907295759293214,
      -0.0032319395580196896,
      -0.003272461292943911,
      -0.0033123062702136896,
      -0.003351485847675292,
      -0.003390011086448837,
      -0.0034278928258073857,
      -0.0034651419550182487,
      -0.0035017689471300018,
      -0.003537784211614265,
      -0.0035731978491967973,
      -0.003608020079556258,
      -0.0036422608104299953,
      -0.0036759297595544147,
      -0.0037090363462931398,
      -0.0037415900531764966,
      -0.0037736000685616305,
      -0.003805075532890948,
      -0.003836025345242211,
      -0.003866458262061299,
      -0.003896382899869685,
      -0.0039258078134774286,
      -0.003954741294043114,
      -0.003983191586451991,
      -0.004011166743335947,
      -0.004038674637600935,
      -0.0040657231523574845,
      -0.0040923200021309464,
      -0.004118472616661771,
      -0.004144188450067781,
      -0.0041694747937900435,
      -0.004194338754328629,
      -0.004218787376480285,
      -0.004242827671182815,
      -0.0042664664647373025,
      -0.004289710495720611
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334360027466152,
      10.092335411690776,
      9.843509642499882,
      9.590756184484997,
      9.336676303665321,
      9.083510037945347,
      8.83312190965074,
      8.586988936070616,
      8.346195313758491,
      8.11145627127598,
      7.883156540637109,
      7.661399167473658,
      7.446059961151238,
      7.23684304007407,
      7.033333783501071,
      6.8350466442410776,
      6.6414664007239095,
      6.452082355980829,
      6.266415638953031,
      6.08404024642619,
      5.904595142887365,
      5.727780661200996,
      5.55336137782394,
      5.381185017796039,
      5.211173181961157,
      5.043313467203237,
      4.877685826310247,
      4.714490547250256,
      4.554006232135107,
      4.396542035578926,
      4.24243208519124,
      4.092047963535007,
      3.9457749666960056,
      3.8039839117300045,
      3.6670199968597053,
      3.53519103164428,
      3.4087575325672486,
      3.287926624589037,
      3.172848540341011,
      3.063607828070733,
      2.9602119801684363,
      2.862596472917044,
      2.7706168506109075,
      2.6840439251079897,
      2.602619009115195,
      2.5260834400793266,
      2.4541676869756226,
      2.3866040023091077,
      2.3231246381790083,
      2.2634414384723605,
      2.2071966017086577,
      2.1540194307543654,
      2.103576944536815,
      2.055545186409655,
      2.009635094152877,
      1.965601785092066,
      1.9232496288827952,
      1.8824124065334915,
      1.8429530297586294,
      1.8047558050881862,
      1.767717485841185,
      1.7317543571183218,
      1.6967981846352265,
      1.6627918044640377,
      1.6296861042717978,
      1.5974381477781174,
      1.5660131434371753,
      1.5353828207851172,
      1.5055203578300236,
      1.4763997188792333,
      1.4479952962727198,
      1.4202821772794865,
      1.3932365020243787,
      1.3668341871951055,
      1.3410511580952433,
      1.3158651823594967,
      1.2912555131470331,
      1.2672026506219947,
      1.2436881716956725,
      1.2206946054372412,
      1.1982053394875274,
      1.1762045463797342,
      1.154677122902766,
      1.1336093647494572,
      1.11298889206795,
      1.0928039360032769,
      1.073043160615023,
      1.0536951968883916,
      1.0347488063881882,
      1.0161929905664404,
      0.998017054437851,
      0.9802106384794596,
      0.9627637326087981,
      0.9456666782221673,
      0.9289101632715585,
      0.912485214112049,
      0.8963831834545326,
      0.8805957380087125,
      0.865114845110271,
      0.849932760411862,
      0.8350420147312719,
      0.8204354015497911,
      0.8061059651636405,
      0.7920469893289552,
      0.7782519863338521,
      0.7647146868532455,
      0.7514290303240061,
      0.7383891556212393,
      0.7255893917835128,
      0.7130242502302784,
      0.7006884168091939,
      0.6885767439358349,
      0.6766842439722278,
      0.6650060824970585,
      0.6535375712293869,
      0.6422741625789858,
      0.6312114437485692,
      0.6203451315133498,
      0.6096710665365133,
      0.599185193435285,
      0.5888835158376877,
      0.5787621577559856,
      0.5688173741870045,
      0.5590455377952614,
      0.5494436290034379,
      0.5400092896801187,
      0.5307399176267094,
      0.5216326932137498,
      0.5126846892393825,
      0.5038929391185203,
      0.49525447960405183,
      0.486766376324282,
      0.4784257390683639,
      0.47022973104601795,
      0.46217557335009707,
      0.4542605471828166,
      0.44648199458993554,
      0.4388373180612166,
      0.4313239797309427,
      0.4239397035164947,
      0.41668245525509456,
      0.40955012230946963,
      0.40254053561221775,
      0.39565150955304623,
      0.38888086589033827,
      0.38222644886035295,
      0.37568613401742845,
      0.3692578330897962,
      0.3629394970950589,
      0.35672917052521025,
      0.35062506879876976,
      0.34462540280823145,
      0.33872836428321773,
      0.33293214747789535,
      0.3272349619505326,
      0.32163504027051315,
      0.3161306427102891,
      0.31072006441676375,
      0.30540166236450844,
      0.30017382847284313,
      0.295034971007632,
      0.2899835199364941,
      0.28501792998034303,
      0.28013668267913017,
      0.27533828717875874,
      0.27062128037151767,
      0.26598422724823656,
      0.2614257198013653,
      0.2569443772030406,
      0.2525388183456639,
      0.24820750616415665,
      0.2439489091364823,
      0.2397616139627578,
      0.23564429060507106,
      0.23159567022131067,
      0.22761453069865242,
      0.22369968743408258,
      0.21984998751055898,
      0.2160644838119975,
      0.21234254046677561,
      0.20868341601922089,
      0.20508624969285164,
      0.2015501116602485,
      0.19807403487132866,
      0.19465702653024264,
      0.19129800324697205,
      0.18799586666603046,
      0.18474957387778346,
      0.18155812324638135,
      0.1784205458176268,
      0.17533589935474928,
      0.17230326454932235,
      0.1693217424079527,
      0.1663904525514133,
      0.1635085321412661,
      0.1606751345727887,
      0.15788942916386328,
      0.15515060045947723,
      0.15245784777330004,
      0.14981038487720302,
      0.14720743944372242,
      0.14464825292015776,
      0.1421320802883312,
      0.1396581897992109,
      0.13722586249656363,
      0.13483439203842743,
      0.13248308458663996,
      0.13017125845350153,
      0.12789824386706553,
      0.12566338269565533,
      0.12346602836660418,
      0.12130554549621377,
      0.11918130975716738,
      0.11709270789543585,
      0.11503913705595707,
      0.11302000504537302,
      0.11103472964860515,
      0.1090827387979461,
      0.10716347045690343,
      0.10527637214879969,
      0.10342090096824826,
      0.10159652340797082,
      0.09980271504493503,
      0.09803896044138445,
      0.09630475314577029,
      0.09459959524720404,
      0.09292299748654939,
      0.09127447895202961,
      0.08965356694973994,
      0.08805979672407085,
      0.08649271160009224,
      0.08495186270553025,
      0.08343680883778064,
      0.08194711626871996,
      0.08048235866459347,
      0.07904211699400307,
      0.07762597942726772,
      0.07623354084055019,
      0.07486440318463308,
      0.07351817523578705,
      0.07219447229505152,
      0.0708929161942233,
      0.06961313525863468,
      0.06835476401326686,
      0.06711744316310943,
      0.06590081959576531,
      0.06470454615864031,
      0.06352828153095381,
      0.06237169029860172,
      0.06123444250704022,
      0.06011621388599906,
      0.059016685723191985,
      0.057935544520162856,
      0.056872482001437324,
      0.05582719526382537,
      0.05479938641437921,
      0.053788762675934174,
      0.05279503621599456,
      0.05181792410833678,
      0.05085714803958087,
      0.04991243429397717,
      0.04898351398432301,
      0.048070122652430394,
      0.04717200026166553,
      0.046288891240809316,
      0.045420544306785354,
      0.044566712229915435,
      0.04372715216531737,
      0.04290162527541887,
      0.04208989665099478,
      0.04129173534879823,
      0.0405069144031004,
      0.039735210549902394,
      0.0389764043220466,
      0.03823027993252457,
      0.03749662530570575,
      0.03677523175384261,
      0.036065894124389326,
      0.03536841089114898,
      0.0346825837245725,
      0.034008217647407926,
      0.033345121075799095,
      0.03269310554864636,
      0.03205198566030997,
      0.031421579106694054,
      0.030801706800513133,
      0.030192192699966734,
      0.02959286356013535,
      0.0290035490451902,
      0.028424081686277376,
      0.027854296888715997,
      0.027294032772004755,
      0.02674313012890748,
      0.0262014325090137,
      0.025668786071345796,
      0.025145039491853326,
      0.02463004398837179,
      0.024123653120386872,
      0.02362572316400215,
      0.02313611278501479,
      0.022654682880104766,
      0.022181296730573438,
      0.02171581986803418,
      0.021258120061801257,
      0.020808067344860282,
      0.020365533956787616,
      0.01993039425060739,
      0.019502524607912387,
      0.019081803565174194,
      0.018668111624462205,
      0.018261331243299428,
      0.017861346889414396,
      0.017468045058713296,
      0.017081314123501168,
      0.01670104421904043,
      0.01632712743692713,
      0.01595945772637016,
      0.015597930573908188,
      0.015242443363555685,
      0.014892895069962366,
      0.01454918651136832,
      0.014211220164136448,
      0.013878900022273467,
      0.013552131698138748,
      0.013230822491266177,
      0.012914881081936029,
      0.012604217911356807,
      0.01229874478567597,
      0.011998374994466245,
      0.011703023212595304,
      0.011412605687165745,
      0.011127039896142112,
      0.010846244714519445,
      0.01057014042698129,
      0.010298648784250932,
      0.010031692708579804,
      0.009769196328899055,
      0.009511085211014634,
      0.00925728607806678,
      0.00900772686052445,
      0.008762336756773868,
      0.008521046152630099,
      0.008283786469013805,
      0.00805049035726396,
      0.007821091702024193,
      0.007595525342757069,
      0.007373727180636195,
      0.007155634270493138,
      0.006941184758304168,
      0.006730317816753118,
      0.00652297346977365,
      0.0063190928982371514,
      0.006118618304432988,
      0.005921492774302962,
      0.005727660308377959,
      0.005537065856649055,
      0.005349655446070378,
      0.005165375777599137,
      0.004984174716981871,
      0.004806000784664792,
      0.004630803411921312,
      0.004458532837713683,
      0.004289140078693393,
      0.00412257708677562,
      0.003958796675271034,
      0.003797752225293852,
      0.003639398120041235,
      0.0034836894001377605,
      0.0033305817844184508,
      0.0031800319351706413,
      0.0030319970523194537,
      0.0028864352592927094,
      0.0027433051010732398,
      0.0026025660307072975,
      0.0024641781227136787,
      0.0023281020244284084,
      0.002194299100478973,
      0.0020627314340027634,
      0.0019333617412881014,
      0.0018061533717528737,
      0.0016810700685601818,
      0.0015580763799113479,
      0.0014371372715627476,
      0.0013182184474194877,
      0.001201286195813963,
      0.001086307327143518,
      0.000973249208865667,
      0.0008620797074116356,
      0.0007527672911636142,
      0.0006452809319755298,
      0.0005395901615257441,
      0.00043566504071552536,
      0.00033347597862102467,
      0.00023299414427867124,
      0.00013419099079967436,
      3.703828327769882e-05,
      -5.849145209895371e-05,
      -0.00015242530964930666,
      -0.00024478999606025373,
      -0.00033561157237347927,
      -0.00042491593201146285,
      -0.0005127284886080751,
      -0.0005990741741429879,
      -0.0006839774669456135,
      -0.0007674623985767974,
      -0.0008495526673854108,
      -0.0009302715024316452,
      -0.0010096418629554898,
      -0.0010876863247389643,
      -0.00116442708634868,
      -0.0012398858334202849,
      -0.0013140839701350547,
      -0.0013870426333278698,
      -0.0014587824954734629,
      -0.0015293239351220256,
      -0.001598687008597479,
      -0.0016668912615644493,
      -0.0017339561684837975,
      -0.001799900750869578,
      -0.0018647437029957453,
      -0.0019285033825209412,
      -0.0019911978890429366,
      -0.00205284500781168,
      -0.002113462285937167,
      -0.0021730670313519504,
      -0.0022316760689503837,
      -0.0022893060294905203,
      -0.0023459732302587755,
      -0.0024016937647536314,
      -0.002456483387370572,
      -0.002510357791918927,
      -0.0025633322405287417,
      -0.0026154217317717263,
      -0.0026666409639579656,
      -0.002717004513848797,
      -0.002766526671278577,
      -0.002815221526990346,
      -0.0028631029071270564,
      -0.002910184440184052,
      -0.0029564794261097045,
      -0.003002001034812969,
      -0.003046762268685619,
      -0.0030907757784990973,
      -0.0031340540465690935,
      -0.0031766093593485613,
      -0.003218453709442814,
      -0.0032595990526424886,
      -0.0033000570112213393,
      -0.003339839085139838,
      -0.003378956582576903,
      -0.0034174205242651435,
      -0.0034552418906444605,
      -0.003492431537432797,
      -0.0035289999329774957,
      -0.0035649574540512767,
      -0.003600314229073578,
      -0.003635080349772784,
      -0.003669265802685206,
      -0.0037028801966140215,
      -0.003735933080324388,
      -0.003768433718965488,
      -0.0038003913408051404,
      -0.003831815026707775,
      -0.003862713790646512,
      -0.003893096322249361,
      -0.003922971269165793,
      -0.003952347169126095,
      -0.003981232394492972,
      -0.004009635146999574,
      -0.0040375632798257234,
      -0.004065024913781156,
      -0.004092027820344664,
      -0.004118579630390805,
      -0.004144687965856056,
      -0.00417036011338394,
      -0.004195603370914604,
      -0.004220424860238109,
      -0.004244831669457173,
      -0.004268830721504626,
      -0.0042924288208097015,
      -0.0043156327561121085
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334355911253178,
      10.09232226545259,
      9.843482629695197,
      9.590710585446013,
      9.336608470066533,
      9.08341745863663,
      8.833003075322582,
      8.586843062470116,
      8.34602209540562,
      8.111255715336318,
      7.8829288404028715,
      7.661144605987768,
      7.445778845716924,
      7.236535667918734,
      7.033000431157487,
      6.834687575269662,
      6.641081887934469,
      6.451672714638137,
      6.26598126214132,
      6.083581673321621,
      5.9041131636554,
      5.727276323726897,
      5.552835946511207,
      5.380639987784283,
      5.21061012827786,
      5.04273421786565,
      4.877092995035465,
      4.713887430443046,
      4.553396225785276,
      4.39592850030792,
      4.241818478396846,
      4.09143793328164,
      3.945172015659222,
      3.8033913320591415,
      3.666440811578128,
      3.534627954830262,
      3.4082129286956584,
      3.2874024819187926,
      3.172346456892281,
      3.063128868298264,
      2.9597566949786347,
      2.862164820499615,
      2.770208214318261,
      2.6836570860763755,
      2.6022526104634114,
      2.5257359226923106,
      2.4538374022328338,
      2.3862892802335893,
      2.3228237730571326,
      2.263152536146192,
      2.206917309070272,
      2.1537476893951344,
      2.103310779223328,
      2.055282764114613,
      2.009374954199641,
      1.9653428490951512,
      1.9229910975295699,
      1.882153687399451,
      1.8426937044547615,
      1.8044954701822666,
      1.7674558252677808,
      1.7314911661498555,
      1.6965333352629595,
      1.6625252217031854,
      1.6294177493273045,
      1.5971680946224611,
      1.5657418191563504,
      1.5351106122411426,
      1.5052475400253815,
      1.476126477588915,
      1.4477217593405494,
      1.4200084344533632,
      1.3929626322829165,
      1.3665602726626407,
      1.3407772573243366,
      1.3155913392115584,
      1.2909817624032345,
      1.2669290212402469,
      1.2434146890868691,
      1.2204212932185206,
      1.1979322204079308,
      1.175931642214413,
      1.1544044554015649,
      1.1333369720371747,
      1.1127168130589848,
      1.0925322142958407,
      1.0727718359682796,
      1.0534243016207994,
      1.0344783684141645,
      1.0159230353948363,
      0.9977476056767756,
      0.9799417182216394,
      0.9624953621045902,
      0.9453988783332528,
      0.9286429545530609,
      0.9122186169820139,
      0.8961172179927793,
      0.880330423893661,
      0.8648502022035229,
      0.849668808158895,
      0.8347787722104708,
      0.8201728876090317,
      0.8058441986963685,
      0.7917859891316611,
      0.7779917708241939,
      0.764455274462341,
      0.7511704390888226,
      0.7381314030193353,
      0.7253324952169733,
      0.7127682268373217,
      0.7004332834428154,
      0.6883225173100609,
      0.6764309401874187,
      0.6647537172914659,
      0.6532861600680197,
      0.6420237205290458,
      0.6309619856756994,
      0.6200966716838752,
      0.6094236187688792,
      0.5989387710381405,
      0.5886381316913962,
      0.5785178247161076,
      0.56857410479288,
      0.5588033443266539,
      0.5492026024485319,
      0.5397695226128939,
      0.5305014701094964,
      0.5213956046708771,
      0.5124489859323149,
      0.5036586390023852,
      0.49502159519073524,
      0.48653491658015313,
      0.4781957105816047,
      0.47000113874734656,
      0.46194842106935485,
      0.4540348379920834,
      0.44625773101198596,
      0.4386145020414713,
      0.431102612856369,
      0.42371980928681824,
      0.41646405743496717,
      0.40933323524362947,
      0.4023251677786706,
      0.39543766551337245,
      0.38866854763760383,
      0.38201565666973886,
      0.3754768669307607,
      0.36905008951914625,
      0.36273327483491397,
      0.35652447615951033,
      0.3504219086772474,
      0.3444237791996987,
      0.33852827704249755,
      0.33273359466983554,
      0.3270379403631815,
      0.32143954594602464,
      0.3159366711775873,
      0.3105276116442223,
      0.30521072545866645,
      0.29998440348945227,
      0.2948470531363049,
      0.2897971037936499,
      0.2848330098345347,
      0.279953252570753,
      0.27515634088439817,
      0.27044081150513216,
      0.2658052290798873,
      0.26124818569619573,
      0.2567683004223364,
      0.25236419484712547,
      0.2480343358499454,
      0.24377718934986534,
      0.2395913403039123,
      0.2354754575471943,
      0.23142827142809846,
      0.22744855945216533,
      0.2235351366522748,
      0.21968684980094594,
      0.21590274274484988,
      0.2121821791531583,
      0.20852442075965325,
      0.20492860881777825,
      0.201393814720791,
      0.19791907229133165,
      0.19450338711199905,
      0.19114567362601614,
      0.1878448354920756,
      0.18459983075949574,
      0.1814096586410049,
      0.1782733505538353,
      0.17518996448737606,
      0.17215858137305345,
      0.16917830248375995,
      0.1662482474600818,
      0.1633675533762987,
      0.16053537373127805,
      0.15775087769185311,
      0.1550132497840693,
      0.15232168923098838,
      0.14967540983199124,
      0.14707363927715894,
      0.144515619046858,
      0.1420006042414731,
      0.13952786285726765,
      0.13709667590726035,
      0.13470633719716882,
      0.13235615280186766,
      0.1300454409848211,
      0.12777353200732958,
      0.12553976763657904,
      0.12334350127367796,
      0.12118409769110053,
      0.11906093255079814,
      0.11697339238852703,
      0.11492087447355236,
      0.11290278657480704,
      0.11091854644880297,
      0.1089675821295279,
      0.10704933154505474,
      0.1051632423641047,
      0.10330877166403353,
      0.1014853859038685,
      0.09969256075648784,
      0.09792978075512758,
      0.0961965394215293,
      0.09449233885165116,
      0.09281668987158052,
      0.09116911149110231,
      0.08954913094564133,
      0.0879562837153935,
      0.0863901132325494,
      0.08485017048923518,
      0.0833360144253729,
      0.08184721128539435,
      0.08038333477982905,
      0.07894396588835915,
      0.07752869266020511,
      0.07613711027481133,
      0.07476882072093478,
      0.07342343271327317,
      0.0721005615759177,
      0.07079982918789372,
      0.06952086388231422,
      0.06826330032114468,
      0.06702677927233462,
      0.06581094760633008,
      0.06461545823193311,
      0.06343996997202223,
      0.0622841472506792,
      0.06114766020513792,
      0.06003018456422153,
      0.05893140151243618,
      0.05785099784461398,
      0.05678866542577171,
      0.05574410134446609,
      0.05471700777639442,
      0.05370709194058092,
      0.05271406605538377,
      0.051737647080824616,
      0.0507775568032083,
      0.04983352173108746,
      0.0489052728820325,
      0.04799254589133514,
      0.047095080868023595,
      0.04621262225193315,
      0.045344918763256754,
      0.044491723365493,
      0.04365279304039111,
      0.04282788903692626,
      0.04201677647735545,
      0.04121922459545113,
      0.04043500645596841,
      0.03966389887317472,
      0.03890568244574378,
      0.03816014133222386,
      0.03742706344737142,
      0.03670624027193274,
      0.03599746682291419,
      0.035300541490552326,
      0.03461526597128391,
      0.03394144530867384,
      0.033278887947110716,
      0.032627405538108334,
      0.03198681282858871,
      0.03135692761217518,
      0.03073757076205506,
      0.030128566314109612,
      0.029529741015048287,
      0.028940924657123217,
      0.028361949851834718,
      0.027792651904205,
      0.027232868983150298,
      0.026682442016808486,
      0.026141214535163753,
      0.025609032827928768,
      0.025085745591421252,
      0.02457120403656058,
      0.02406526201319568,
      0.02356777569237804,
      0.02307860370999678,
      0.022597606995073894,
      0.02212464893964269,
      0.021659595162964288,
      0.02120231341329348,
      0.020752673797623734,
      0.020310548622868456,
      0.019875812201239393,
      0.019448340968592652,
      0.01902801357324107,
      0.018614710629423447,
      0.018208314714097545,
      0.017808710275980726,
      0.01741578376149749,
      0.017029423551558683,
      0.016649520007865255,
      0.016275965144758896,
      0.01590865281059448,
      0.015547478704039506,
      0.015192340238943489,
      0.014843136511183493,
      0.014499768310128744,
      0.014162138136911173,
      0.013830150095744795,
      0.013503709886769607,
      0.013182724703602286,
      0.012867103467379694,
      0.012556756564923693,
      0.01225159584096323,
      0.011951534424062379,
      0.011656487174949798,
      0.011366370415902723,
      0.011081101691763082,
      0.010800599993710018,
      0.010524785606605006,
      0.010253580095508264,
      0.009986906526028393,
      0.009724689181436534,
      0.009466853571004614,
      0.009213326532252177,
      0.008964036020234939,
      0.008718911162010404,
      0.008477882442826427,
      0.0082408814716436,
      0.00800784092290528,
      0.007778694513710056,
      0.007553377227507994,
      0.0073318250015284095,
      0.007113974965359752,
      0.006899765219485808,
      0.006689134897973627,
      0.00648202423485813,
      0.006278374463054084,
      0.0060781277746654845,
      0.00588122715781464,
      0.005687616809013399,
      0.005497241748541336,
      0.005310047802006614,
      0.005125981801335567,
      0.004944991554019096,
      0.0047670256701687185,
      0.004592033698049037,
      0.004419965881272303,
      0.004250773294430135,
      0.00408440788022929,
      0.003920822413234804,
      0.0037599703910953883,
      0.003601806258957817,
      0.0034462851161540164,
      0.0032933626672780932,
      0.0031429954489629996,
      0.002995140875681393,
      0.002849757015356105,
      0.002706802481822901,
      0.0025662367177630907,
      0.002428019892704623,
      0.0022921127085988964,
      0.0021584764362472105,
      0.0020270732151142458,
      0.0018978657327007034,
      0.0017708173327997396,
      0.0016458918841484524,
      0.0015230539247666815,
      0.0014022685547752673,
      0.001283501490018044,
      0.0011667190102621781,
      0.001051887966840069,
      0.0009389757859202857,
      0.0008279504489564521,
      0.0007187802650970383,
      0.0006114341857600077,
      0.0005058817781118958,
      0.00040209319456600747,
      0.0003000389222593183,
      0.00019968997237059183,
      0.00010101788724069847,
      3.994571190289907e-06,
      -9.140743781988449e-05,
      -0.00018521526698273856,
      -0.0002774555478928228,
      -0.000368154514896814,
      -0.00045733794249819385,
      -0.0005450310558048064,
      -0.0006312588396231675,
      -0.0007160456718542158,
      -0.0007994157566585359,
      -0.000881392748548921,
      -0.0009619999152862626,
      -0.001041260108441367,
      -0.0011191959357592322,
      -0.0011958294745261463,
      -0.001271182415594845,
      -0.001345276345771105,
      -0.0014181322089793342,
      -0.0014897705985812148,
      -0.0015602118827066447,
      -0.00162947615066291,
      -0.0016975830117865443,
      -0.0017645518443349824,
      -0.0018304016998925128,
      -0.0018951511870129762,
      -0.0019588186335564705,
      -0.002021422171397301,
      -0.002082979597524542,
      -0.0021435083932274356,
      -0.0022030257097760807,
      -0.0022615484932447644,
      -0.0023190934428996193,
      -0.0023756768730214184,
      -0.002431314853371481,
      -0.0024860231260883966,
      -0.0025398171483326033,
      -0.002592712241912127,
      -0.0026447234244960202,
      -0.0026958654622993897,
      -0.0027461529725170933,
      -0.0027956001818082933,
      -0.002844221077466637,
      -0.0028920296405790867,
      -0.0029390393663392047,
      -0.002985263539970766,
      -0.0030307153014486454,
      -0.003075407538005061,
      -0.0031193529538646775,
      -0.0031625641201627297,
      -0.0032050532890200915,
      -0.003246832409610681,
      -0.0032879133406003677,
      -0.003328307890327996,
      -0.0033680274496589676,
      -0.0034070832340550414,
      -0.0034454863781950454,
      -0.0034832478590333406,
      -0.003520378329056742,
      -0.0035568883170363874,
      -0.0035927882947609856,
      -0.003628088361889434,
      -0.0036627985465159246,
      -0.0036969287109586773,
      -0.0037304885649936744,
      -0.003763487672131793,
      -0.0037959353855603357,
      -0.0038278408719065924,
      -0.003859213217316155,
      -0.0038900613487072378,
      -0.0039203940940973755,
      -0.003950219943776079,
      -0.0039795472999895635,
      -0.004008384567150941,
      -0.004036739987643989,
      -0.0040646216550454355,
      -0.004092037405879137,
      -0.004118995111532556,
      -0.004145502339819978,
      -0.00417156655667459,
      -0.0041971951807672405,
      -0.004222395498333921,
      -0.004247174710677363,
      -0.004271539924295714,
      -0.004295497994325971,
      -0.00431905572964017,
      -0.004342219836797773
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334351799108065,
      10.092309132526392,
      9.84345564098322,
      9.590665026990015,
      9.336540696080705,
      9.083324961065923,
      8.832884348906092,
      8.586697323238244,
      8.345849035891433,
      8.111055344345774,
      7.882701350742679,
      7.660890278341145,
      7.445497987977842,
      7.236228578248507,
      7.03266738683717,
      6.83432884085574,
      6.640697737192068,
      6.451263462076433,
      6.265547301627203,
      6.08312354404616,
      5.903631655259443,
      5.72677248568795,
      5.552311040940866,
      5.3800955100917776,
      5.210047650856973,
      5.042155566218538,
      4.876500782436075,
      4.71328495229986,
      4.552786877172156,
      4.395315641143601,
      4.241205563600954,
      4.090828609577329,
      3.94456978539753,
      3.80279948513132,
      3.665862367249762,
      3.5340656228864398,
      3.4076690707823185,
      3.2868790833772694,
      3.171845112000775,
      3.0626506380405307,
      2.9593021264276107,
      2.861733869294231,
      2.769800262087497,
      2.6832709132539345,
      2.6018868603119496,
      2.5253890371017165,
      2.4535077320668566,
      2.3859751553897777,
      2.3225234884686157,
      2.262864198305916,
      2.2066385660259837,
      2.1534764840557643,
      2.1030451129933776,
      2.055020814575173,
      2.0091152685721374,
      1.965084354379314,
      1.9227329994288493,
      1.8818953966489933,
      1.8424348042401313,
      1.804235558581641,
      1.767194587403408,
      1.7312283984361798,
      1.6962689107850173,
      1.6622590658590812,
      1.6291498234506807,
      1.596898473068377,
      1.565470929290928,
      1.5348388408500873,
      1.5049751631029982,
      1.4758536816481176,
      1.4474486717938901,
      1.4197351441096269,
      1.39268921769024,
      1.3662868155650805,
      1.3405038159946383,
      1.3153179573817813,
      1.2907084749253646,
      1.2666558574954658,
      1.2431416749563895,
      1.2201484525314068,
      1.1976595754083807,
      1.175659214777976,
      1.1541322675251746,
      1.1330650617808178,
      1.1124452195198617,
      1.0922609806369805,
      1.0725010012508442,
      1.053153898370683,
      1.0342084244879546,
      1.0156535759776708,
      0.997478653938171,
      0.9796732964115136,
      0.9622274915138614,
      0.9451315798484876,
      0.928376248788998,
      0.9119525236360446,
      0.895851756964653,
      0.8800656153228981,
      0.864586065731076,
      0.849405363242893,
      0.8345160382757916,
      0.8199108836247897,
      0.8055829434011548,
      0.7915255010932396,
      0.7777320688432561,
      0.7641963767186791,
      0.7509123632922434,
      0.7378741668029019,
      0.7250761160095428,
      0.7125127216240474,
      0.7001786686669974,
      0.6880688093730919,
      0.6761781554053551,
      0.6645018712310566,
      0.653035268219694,
      0.6417737979274204,
      0.6307130468410005,
      0.6198487310106168,
      0.6091766902444975,
      0.598692868284055,
      0.5883932676375947,
      0.5782740121059903,
      0.5683313561711691,
      0.5585616717646636,
      0.5489620966892825,
      0.5395302760235081,
      0.5302635426845683,
      0.5211590356258776,
      0.5122138012031411,
      0.5034248562779496,
      0.4947892267498531,
      0.4863039712135628,
      0.47796619480887154,
      0.46977305748619025,
      0.4617217780897272,
      0.4538096363612513,
      0.4460339732003252,
      0.43839219017366887,
      0.43088174860025197,
      0.42350041607345346,
      0.41624615891222455,
      0.40911684584482094,
      0.40211029584326347,
      0.39522431531337404,
      0.3884567210034393,
      0.38180535386565245,
      0.37526808719001364,
      0.368842831266212,
      0.36252753579907226,
      0.35632026276914375,
      0.35021922741703254,
      0.3442226325604953,
      0.3383286647432989,
      0.3325355147393989,
      0.3268413898054496,
      0.321244520978821,
      0.3157431673260624,
      0.31033562493510863,
      0.3050202528770441,
      0.29979544092928645,
      0.29465959574959477,
      0.28961114619432443,
      0.28464854634883835,
      0.2797702771409131,
      0.27497484729960087,
      0.2702607933625707,
      0.2656266798448955,
      0.2610710986458268,
      0.25659266870065245,
      0.2521900143791852,
      0.24786160669112692,
      0.24360590873795898,
      0.23942150381796876,
      0.2353070597359197,
      0.23126130605137568,
      0.2272830196926231,
      0.22337101541297869,
      0.2195241397709567,
      0.21574142763461227,
      0.21202224201873845,
      0.20836584776537076,
      0.20477138838158676,
      0.20123793660334813,
      0.19776452680377346,
      0.19435016312981598,
      0.19099375763703583,
      0.1876942158657989,
      0.18445049727571916,
      0.1812616018712002,
      0.1781265615120336,
      0.17504443438350004,
      0.1720143015125691,
      0.169035264243532,
      0.16610644230803218,
      0.1632269727511858,
      0.16039600907419074,
      0.15761272053448253,
      0.15487629154405544,
      0.15218592149618015,
      0.14954082395770313,
      0.14694022665034015,
      0.1443833710760202,
      0.1418695121489327,
      0.13939791789672845,
      0.1369678695109679,
      0.13457866058258225,
      0.1322295972581313,
      0.12991999775171337,
      0.12764919222363333,
      0.1254165225865521,
      0.12322134228433193,
      0.12106301595255183,
      0.11894091934318984,
      0.11685443907998067,
      0.11480297237821724,
      0.1127859269500587,
      0.11080272063243787,
      0.10885278144770433,
      0.106935547264588,
      0.1050504656886631,
      0.10319699385726376,
      0.10137459818355181,
      0.09958275434093905,
      0.09782094701107258,
      0.09608866981540873,
      0.09438542490109929,
      0.0927107229758953,
      0.09106408313011952,
      0.08944503277712257,
      0.08785310720196285,
      0.08628784978968917,
      0.08474881174081648,
      0.08323555184931423,
      0.08174763652333607,
      0.08028463963260654,
      0.07884614209856305,
      0.07743173190773556,
      0.07604100432164723,
      0.07467356122501986,
      0.07332901149712201,
      0.0720069705647098,
      0.07070706031912885,
      0.06942890922566784,
      0.06817215190935931,
      0.06693642921794762,
      0.06572138803087808,
      0.0645266812337489,
      0.06335196766333208,
      0.062196911820384136,
      0.061061183889505016,
      0.05994445973865618,
      0.05884642058970781,
      0.057766753144543354,
      0.05670514938156061,
      0.055661306416829856,
      0.05463492653327045,
      0.05362571704811312,
      0.05263339020537139,
      0.05165766303306597,
      0.05069825740892628,
      0.04975489971482992,
      0.0488273212148394,
      0.047915257452047964,
      0.04701844860072815,
      0.046136639078320135,
      0.045269577705289894,
      0.04441701754703387,
      0.04357871565162975,
      0.04275443330477575,
      0.04194393567763616,
      0.04114699205257814,
      0.04036337554586264,
      0.03959286298206461,
      0.0388352350271429,
      0.03809027593256081,
      0.03735777363017847,
      0.036637519765049,
      0.035929309265073164,
      0.03523294048956643,
      0.03454821534643839,
      0.033874938888553585,
      0.03321291971134465,
      0.03256196947297383,
      0.03192190294845965,
      0.03129253791079376,
      0.03067369528460823,
      0.030065199159654422,
      0.029466876440795417,
      0.02887855692245287,
      0.028300073202544344,
      0.027731260804494572,
      0.0271719579285947,
      0.026622005468625008,
      0.026081247032111354,
      0.02554952893967793,
      0.025026699871910023,
      0.024512611142877602,
      0.0240071166528662,
      0.02351007264734042,
      0.023021337676143984,
      0.02254077289250593,
      0.02206824166064218,
      0.021603609650643365,
      0.02114674473099056,
      0.020697517128771662,
      0.020255799029405244,
      0.01982146489703682,
      0.019394391186277882,
      0.018974456621857465,
      0.018561541742561766,
      0.018155529190334623,
      0.01775630358765503,
      0.01736375144791561,
      0.016977761144522454,
      0.01659822294403222,
      0.016225028995999854,
      0.015858073285713762,
      0.015497251517600442,
      0.01514246112626452,
      0.014793601224254138,
      0.01445057269013599,
      0.014113278053451257,
      0.01378162142410384,
      0.013455508612890316,
      0.013134846914694326,
      0.012819545043895389,
      0.012509513463516128,
      0.012204664129548829,
      0.011904910380842595,
      0.011610167057472531,
      0.01132035046561557,
      0.01103537822111376,
      0.01075516926983011,
      0.010479644014897824,
      0.010208724106405005,
      0.009942332623863128,
      0.00968039380602778,
      0.009422833211962816,
      0.009169577727949647,
      0.008920555401454224,
      0.008675695368714514,
      0.008434928066578414,
      0.008198185067717152,
      0.007965399244611569,
      0.007736504385385552,
      0.007511435462070837,
      0.007290128477034655,
      0.007072520574520597,
      0.0068585499084882874,
      0.0066481555590308695,
      0.0064412778530286915,
      0.006237858072623491,
      0.006037838383927239,
      0.005841161991725193,
      0.0056477729802054,
      0.005457616392553718,
      0.005270638212243974,
      0.005086785297472332,
      0.004906005458899443,
      0.0047282472420410076,
      0.004553460094237681,
      0.004381594401659198,
      0.004212601377105131,
      0.004046432989541543,
      0.0038830419982969254,
      0.003722381888237167,
      0.0035644070945932875,
      0.0034090727856536038,
      0.003256334801489037,
      0.0031061498625258007,
      0.0029584751321905137,
      0.0028132687355574143,
      0.0026704893215614284,
      0.002530096301488767,
      0.0023920498933279123,
      0.0022563107682849358,
      0.0021228404307882445,
      0.0019916009910303503,
      0.0018625552134101165,
      0.001735666395770095,
      0.001610898492629936,
      0.0014882160753952544,
      0.0013675842440681743,
      0.0012489686620782176,
      0.0011323357077251716,
      0.0010176522849859207,
      0.0009048856935836577,
      0.0007940038503713733,
      0.0006849753352738139,
      0.000577769178690641,
      0.00047235486734096595,
      0.0003687024471035109,
      0.0002667825643063358,
      0.00016656623617175825,
      6.802501671266204e-05,
      -2.886912118591105e-05,
      -0.0001241437112170505,
      -0.00021782600374861737,
      -0.00030994250648524915,
      -0.0004005193367935026,
      -0.0004895822094891722,
      -0.0005771564870912478,
      -0.0006632670693856434,
      -0.0007479383449008388,
      -0.0008311943503953032,
      -0.0009130587250686481,
      -0.000993554765247728,
      -0.0010727053505434105,
      -0.0011505330081649778,
      -0.0012270598805795647,
      -0.0013023076088413829,
      -0.0013762975446722828,
      -0.0014490507772292605,
      -0.0015205879422053015,
      -0.001590929468327243,
      -0.0016600952567617962,
      -0.0017281049500660534,
      -0.0017949779966452031,
      -0.0018607332754461958,
      -0.0019253894690600957,
      -0.0019889649525508145,
      -0.0020514779229093534,
      -0.0021129460060366595,
      -0.0021733866822146648,
      -0.002232817113186616,
      -0.0022912541392181157,
      -0.0023487143392410164,
      -0.0024052141532369875,
      -0.0024607696279967334,
      -0.00251539654428034,
      -0.002569110332359145,
      -0.0026219263488755414,
      -0.0026738596891757215,
      -0.0027249249792314447,
      -0.0027751367639376225,
      -0.0028245093542476505,
      -0.0028730567880977213,
      -0.002920792758035606,
      -0.002967730868722593,
      -0.003013884486727606,
      -0.0030592666467426236,
      -0.0031038902299317835,
      -0.0031477679318195426,
      -0.0031909122104454004,
      -0.00323333529679438,
      -0.003275049338655636,
      -0.00331606610460944,
      -0.003356397265587277,
      -0.003396054313471337,
      -0.0034350485616451106,
      -0.003473391062324679,
      -0.0035110926689430797,
      -0.00354816413596156,
      -0.003584616002119936,
      -0.0036204585492506697,
      -0.003655701995132788,
      -0.0036903563745045082,
      -0.0037244315468676474,
      -0.0037579371205862092,
      -0.0037908826433088465,
      -0.003823277543979205,
      -0.003855131036389403,
      -0.0038864521170608444,
      -0.00391724958781793,
      -0.003947532300475057,
      -0.003977308930603936,
      -0.0040065877825440676,
      -0.0040353771912032665,
      -0.004063685376360369,
      -0.00409152039246816,
      -0.004118890230080952,
      -0.004145802573908256,
      -0.004172265099977342,
      -0.004198285321324618,
      -0.004223870617476418,
      -0.004249028257180751,
      -0.004273765458632839,
      -0.004298089252382598,
      -0.0043220065346543535,
      -0.004345524024056094,
      -0.004368648326386216
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334347698556945,
      10.092296036590154,
      9.843428726234556,
      9.590619583553186,
      9.336473081134843,
      9.083232668862498,
      8.832765879152292,
      8.586551896850345,
      8.345676347657134,
      8.110855400739437,
      7.882474343899606,
      7.660636492001507,
      7.445217730303023,
      7.235922147038059,
      7.032335059400037,
      6.833970880611848,
      6.640314416413346,
      6.4508550955208275,
      6.2651142844390035,
      6.08266641770022,
      5.903151211728763,
      5.726269773161356,
      5.551787322028952,
      5.379552279291607,
      5.209486479810985,
      5.041578280086468,
      4.875909993284139,
      4.7126839530112585,
      4.552179057219137,
      4.394704356140002,
      4.240594264476448,
      4.09022093680888,
      3.9439692327483296,
      3.802209335490648,
      3.66528563364789,
      3.5335050100653502,
      3.407126933929589,
      3.286357401329756,
      3.1713454729458914,
      3.0621740965158986,
      2.9588492234496524,
      2.8613045545456077,
      2.769393913475227,
      2.6828863087276837,
      2.6015226414288803,
      2.5250436454165412,
      2.453179519643503,
      2.3856624529300325,
      2.3222245917911755,
      2.2625772159153,
      2.2063611487552737,
      2.153206576778199,
      2.102780719889448,
      2.0547601159701987,
      2.0088568154705055,
      1.9648270767270084,
      1.922476104438827,
      1.881638296286738,
      1.842177083903521,
      1.8039768182868918,
      1.7669345136988768,
      1.7309667883632216,
      1.696005637402767,
      1.6619940548987966,
      1.628883037492415,
      1.5966299870449208,
      1.5652011714394538,
      1.5345681985067456,
      1.5047039115731298,
      1.4755820072420465,
      1.4471767029163058,
      1.4194629710915159,
      1.3924169198576384,
      1.3660144746419645,
      1.3402314901447203,
      1.315045690746249,
      1.290436302060279,
      1.2663838075404485,
      1.2428697734497176,
      1.21987672290525,
      1.1973880403174522,
      1.1753878962956954,
      1.1538611871732638,
      1.1327942576382966,
      1.1121747301766025,
      1.0919908494903545,
      1.072231268030791,
      1.052884595687124,
      1.033939580661864,
      1.015385215917847,
      0.9972108007102933,
      0.9794059724332161,
      0.961960718310253,
      0.9448653780452329,
      0.9281106388529994,
      0.9116875259401552,
      0.8955873916344987,
      0.8798019019682517,
      0.8643230239762557,
      0.8491430127865173,
      0.8342543983778307,
      0.8196499736993216,
      0.8053227822238507,
      0.7912661071905083,
      0.7774734603598318,
      0.7639385714258461,
      0.750655379219447,
      0.7376180216885722,
      0.7248208269957457,
      0.7122583055995153,
      0.6999251426247629,
      0.6878161897156478,
      0.6759264582562808,
      0.6642511123288216,
      0.6527854629539228,
      0.6415249614671018,
      0.6304651939222794,
      0.6196018759694072,
      0.6089308472176833,
      0.5984480505876967,
      0.5881494880508025,
      0.5780312831704546,
      0.5680896901268617,
      0.558321084139432,
      0.5487226797332672,
      0.5392921202641431,
      0.5300267068164057,
      0.5209235581238927,
      0.511979707946886,
      0.5031921647434686,
      0.49455794907430356,
      0.4860741159375557,
      0.4777377683978052,
      0.46954606476931887,
      0.4614962228664018,
      0.4535855215396817,
      0.4458113012077615,
      0.4381709630034625,
      0.4306619688691437,
      0.42328210797410154,
      0.41602934554825594,
      0.40890154084045827,
      0.40189650691859913,
      0.39501204663870787,
      0.3882459744172465,
      0.38159612967356776,
      0.37506038429234595,
      0.3686366479381651,
      0.3623228699819851,
      0.3561171210067842,
      0.35001761602180886,
      0.34402255380411595,
      0.33813011834488155,
      0.3323384987050821,
      0.3266459009660187,
      0.3210505553295025,
      0.31555072038563625,
      0.3101446927488834,
      0.3048308324863716,
      0.2996075283601869,
      0.29447318628565244,
      0.28942623442811394,
      0.2844651264701745,
      0.27958834311962294,
      0.2747943929379514,
      0.27008181220558214,
      0.2654491652402455,
      0.26089504376262307,
      0.25641806659678185,
      0.2520168611312496,
      0.24768990245165437,
      0.24343565102941817,
      0.2392526883106535,
      0.2351396808511134,
      0.23109535759657662,
      0.22711849499700437,
      0.22320790744675756,
      0.21936244126248897,
      0.21558112229299348,
      0.21186331288299184,
      0.20820828131080446,
      0.20461517282643374,
      0.2010830613529808,
      0.1976109822423419,
      0.19419793823988854,
      0.1908428391114905,
      0.18754459223784473,
      0.18430215821917542,
      0.1811145377085646,
      0.17798076318207318,
      0.17489989317514573,
      0.17187100883142786,
      0.1688932114988424,
      0.16596562090067446,
      0.16308737423291714,
      0.16025762495685097,
      0.15747554228297575,
      0.1547403106513374,
      0.15205112929071807,
      0.14940721182307923,
      0.14680778602187883,
      0.14425209328463923,
      0.14173938860786128,
      0.13926894010321791,
      0.1368400286535121,
      0.134451947973955,
      0.13210400411263154,
      0.129795515312133,
      0.1275258117159453,
      0.12529423530807976,
      0.12310013945583066,
      0.12094288891391153,
      0.11882185939257886,
      0.11673643740834595,
      0.11468602024430515,
      0.11267001558890984,
      0.1106878413093124,
      0.10873892540388051,
      0.10682270582207867,
      0.10493863021477201,
      0.10308615569121321,
      0.10126474871529556,
      0.09947388500719553,
      0.09771304913271407,
      0.09598173462452694,
      0.09427944373957545,
      0.09260568724606967,
      0.09095998432847283,
      0.08934186228609599,
      0.08775085660298076,
      0.08618651070290505,
      0.08464837583036022,
      0.0831360107329943,
      0.08164898183165795,
      0.0801868629465918,
      0.0787492350244936,
      0.07733568627235331,
      0.07594581188453359,
      0.07457921393523863,
      0.07323550114848813,
      0.07191428903617218,
      0.07061519961818635,
      0.0693378612646581,
      0.06808190862179714,
      0.0668469826240229,
      0.0656327302239092,
      0.06443880435361819,
      0.06326486383860894,
      0.062110573374285126,
      0.06097560318718865,
      0.05985962915850156,
      0.058762332561375336,
      0.05768340000916268,
      0.05662252360488025,
      0.05557940055713556,
      0.05455373311804369,
      0.053545228615575216,
      0.0525535994385464,
      0.05157856259510463,
      0.050619840128368274,
      0.04967715845337576,
      0.048750248664951146,
      0.047838846583277216,
      0.04694269232727034,
      0.046061530429375566,
      0.04519510976645363,
      0.044343183395673065,
      0.04350550847649798,
      0.042681846300468625,
      0.04187196226022889,
      0.041075625611574296,
      0.0402926093647938,
      0.039522690559217456,
      0.038765649891608626,
      0.038021271676429005,
      0.03728934387756488,
      0.03656965806470312,
      0.03586200927539811,
      0.03516619601125131,
      0.034482020126885664,
      0.03380928693484675,
      0.033147804961565226,
      0.032497385804642905,
      0.031857844269256835,
      0.031228998325726946,
      0.03061066900978113,
      0.030002680296045074,
      0.02940485918041082,
      0.028817035455774638,
      0.028239041804070372,
      0.02767071388687732,
      0.027111890014597673,
      0.02656241109971773,
      0.026022120785463537,
      0.025490865318082707,
      0.02496849354960971,
      0.024454856798329736,
      0.023949809024346395,
      0.023453206544257397,
      0.022964908016266064,
      0.022484774452959076,
      0.022012669394762267,
      0.021548458604644168,
      0.021092009986430113,
      0.020643193611577182,
      0.020201881878332276,
      0.01976794926638191,
      0.019341272335132467,
      0.01892172981297529,
      0.018509202357354593,
      0.018103572577180028,
      0.017704725158360694,
      0.017312546557973336,
      0.016926925335704352,
      0.016547751831632297,
      0.01617491821346279,
      0.01580831846120812,
      0.015447848333203298,
      0.015093405269302865,
      0.014744888421382336,
      0.014402198671468582,
      0.014065238542246328,
      0.013733912336472824,
      0.013408125869785875,
      0.013087786527763533,
      0.012772803201788448,
      0.012463086306954895,
      0.012158547812446992,
      0.011859101106437469,
      0.011564660942226013,
      0.011275143651520632,
      0.010990466930500403,
      0.010710549873057204,
      0.010435312908207995,
      0.010164677742305245,
      0.009898567471661894,
      0.009636906376212692,
      0.00937962006177128,
      0.009126635403189908,
      0.008877880505692813,
      0.008633284575396083,
      0.008392778061499372,
      0.008156292631375288,
      0.007923760953402649,
      0.007695117011743866,
      0.007470295802493511,
      0.007249233479754003,
      0.00703186709202697,
      0.006818134850635682,
      0.00660797611632579,
      0.006401330944772149,
      0.0061981406531227065,
      0.0059983475322012755,
      0.005801894715961518,
      0.005608726429105518,
      0.00541878773496987,
      0.005232024696308188,
      0.005048384137917032,
      0.0048678138199134335,
      0.004690262334119959,
      0.00451567937321982,
      0.004344015272413776,
      0.004175221247202366,
      0.004009249227091008,
      0.00384605212522597,
      0.003685583532365253,
      0.003527797846818735,
      0.0033726501585976247,
      0.0032200963661238283,
      0.0030700931046765334,
      0.002922597779876524,
      0.0027775684958513676,
      0.0026349639480456855,
      0.0024947434327126606,
      0.0023568671707574302,
      0.0022212960306282207,
      0.0020879915273009733,
      0.0019569157604051564,
      0.0018280315135285293,
      0.00170130201269135,
      0.0015766912780629662,
      0.0014541638682703882,
      0.001333685021059025,
      0.0012152204916815496,
      0.0010987365707832045,
      0.0009842000730645954,
      0.0008715784743244428,
      0.0007608397900074242,
      0.0006519525130695376,
      0.0005448856878616842,
      0.0004396089346673978,
      0.00033609230501211395,
      0.00023430642487723739,
      0.00013422229683121665,
      3.581150416710863e-05,
      -6.095407245003738e-05,
      -0.00015610185632786673,
      -0.00024965891811183844,
      -0.00034165176999030453,
      -0.00043210663540431795,
      -0.000521049240221086,
      -0.0006085047736828743,
      -0.000694498146614527,
      -0.0007790537962151934,
      -0.0008621957632577888,
      -0.0009439476908811899,
      -0.0010243327646366467,
      -0.0011033738801650098,
      -0.0011810935675290893,
      -0.0012575139077493777,
      -0.0013326565816407772,
      -0.0014065430056242004,
      -0.0014791942122871996,
      -0.0015506307547924888,
      -0.0016208729466066173,
      -0.0016899406934055088,
      -0.001757853608995117,
      -0.0018246312389701967,
      -0.0018902924121033471,
      -0.001954855804037345,
      -0.0020183398008299207,
      -0.0020807623801839797,
      -0.002142141372862803,
      -0.0022024941702954715,
      -0.0022618378879157813,
      -0.0023201894964668375,
      -0.0023775655319334212,
      -0.002433982262407198,
      -0.0024894557711424613,
      -0.002544001873235421,
      -0.0025976360379625137,
      -0.002650373404760413,
      -0.002702228995480293,
      -0.002753217601592306,
      -0.0028033538294710246,
      -0.002852651820648924,
      -0.0029011255746091823,
      -0.0029487889018048837,
      -0.0029956553825043913,
      -0.0030417382546659147,
      -0.0030870506568333638,
      -0.003131605450698659,
      -0.003175415392561712,
      -0.0032184929160518697,
      -0.0032608501874168178,
      -0.0033024992995590325,
      -0.003343452084204467,
      -0.003383720081848375,
      -0.0034233148672243264,
      -0.0034622475728560815,
      -0.00350052942911647,
      -0.0035381713184787036,
      -0.00357518390735368,
      -0.0036115776814036557,
      -0.0036473630251235177,
      -0.003682550052466361,
      -0.0037171487675280506,
      -0.0037511691038768194,
      -0.003784620798192368,
      -0.003817513281899774,
      -0.0038498558648141622,
      -0.0038816576315545844,
      -0.003912927757322989,
      -0.003943675072878916,
      -0.003973908226715496,
      -0.004003635839743868,
      -0.004032866456553997,
      -0.004061608375169583,
      -0.004089869737159238,
      -0.004117658578449789,
      -0.004144982835632022,
      -0.004171850217956497,
      -0.004198268479325308,
      -0.0042242450226667935,
      -0.004249787304127107,
      -0.004274902538036619,
      -0.004299597814298459,
      -0.004323880215151101,
      -0.004347756690438783,
      -0.004371233964016168,
      -0.004394318674588686
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334343606854356,
      10.09228297114275,
      9.843401871860234,
      9.590574237380403,
      9.33640560713571,
      9.083140566457967,
      8.832647646962585,
      8.586406754207799,
      8.345503989110085,
      8.11065583500521,
      7.882247764678899,
      7.660383182130773,
      7.444937998060427,
      7.235616291807247,
      7.032003358001743,
      6.833613597435888,
      6.639931826444331,
      6.4504475148822635,
      6.264682108098418,
      6.082210185706564,
      5.902671714919582,
      5.725768060551883,
      5.551264654885503,
      5.379010149428272,
      5.208926459540902,
      5.041002194437905,
      4.875320451169748,
      4.712084243549487,
      4.551572566814441,
      4.394094436622844,
      4.239984363540157,
      4.089614690892872,
      3.943370130886753,
      3.8016206551964506,
      3.664710381192296,
      3.5329458825643436,
      3.4065862801393014,
      3.2858371937686184,
      3.1708472942410837,
      3.061698995923636,
      2.9583977375086397,
      2.8608766291635344,
      2.7689889232120657,
      2.6825030299476524,
      2.6011597145351075,
      2.5246995119270634,
      2.4528525327665784,
      2.38535094449731,
      2.3219268585649036,
      2.262291367337663,
      2.206084837352542,
      2.152937749623166,
      2.102517384259922,
      2.05450045644899,
      2.0085993857095508,
      1.9645708088006517,
      1.9222202075120964,
      1.881382184217102,
      1.841920342665171,
      1.8037190485481722,
      1.766675402907422,
      1.7307061346494006,
      1.6957433149461798,
      1.6617299902212945,
      1.6286171930198554,
      1.5963624377769599,
      1.564932346253582,
      1.5342984857463657,
      1.5044335875082366,
      1.475311258288599,
      1.4469056568754342,
      1.4191917178429738,
      1.3921455387306834,
      1.3657430483745099,
      1.3399600779056915,
      1.3147743361961708,
      1.2901650400747682,
      1.2661126672066234,
      1.2425987806923833,
      1.2196059016243612,
      1.1971174132572082,
      1.175117485645109,
      1.1535910146452435,
      1.132524361626724,
      1.111905153523811,
      1.0917216366691154,
      1.0719624562612307,
      1.052616216159094,
      1.0336716604963134,
      1.015117780108289,
      0.996943872520438,
      0.9791395735731409,
      0.9616948698585943,
      0.9446001007453673,
      0.927845953343203,
      0.9114234526644486,
      0.8953239503831446,
      0.8795391125221733,
      0.8640609060263822,
      0.8488815855845151,
      0.8339936810859476,
      0.8193899854221696,
      0.8050635418235376,
      0.7910076330644086,
      0.7772157707395657,
      0.7636816848160434,
      0.7503993135296274,
      0.7373627945224717,
      0.7245664557250476,
      0.7120048074273542,
      0.6996725343835986,
      0.6875644878069178,
      0.675675678528143,
      0.6640012706045382,
      0.6525365744313854,
      0.6412770412781291,
      0.6302182568940708,
      0.6193559362237592,
      0.6086859188543233,
      0.5982041471631,
      0.5879066223020509,
      0.5777894678235991,
      0.5678489376537708,
      0.5580814477312762,
      0.548484266999837,
      0.5390550003551321,
      0.5297909249866465,
      0.5206891444276889,
      0.511746682721599,
      0.5029605420449378,
      0.4943277388636555,
      0.48584532571452055,
      0.47751040375028,
      0.4693201300890793,
      0.4612717215711811,
      0.4533624565663224,
      0.44558967481105516,
      0.43795077715817204,
      0.430443236906351,
      0.42306485794813853,
      0.41581359437700066,
      0.4086872987137741,
      0.4016837797415893,
      0.39480083723392584,
      0.38803628371241394,
      0.38138795724191105,
      0.37485372911329845,
      0.36843150808338565,
      0.3621192430321558,
      0.35591501339370407,
      0.34981703411746784,
      0.34382349995853034,
      0.3379325923738482,
      0.3321424986789573,
      0.32645142379820463,
      0.32085759738303676,
      0.315359277337378,
      0.3099547608219506,
      0.3046424087543296,
      0.2994206086590666,
      0.29428776565153486,
      0.2892423076050428,
      0.28428268782987853,
      0.27940738670481174,
      0.27461491248950454,
      0.2699038013392033,
      0.26527261732805757,
      0.2607199520795404,
      0.25624442422287047,
      0.2518446642334783,
      0.2475191513417749,
      0.24326634306355108,
      0.2390848193154899,
      0.23497324553653512,
      0.23093034986122823,
      0.22695490810195787,
      0.2230457342999368,
      0.21920167443350552,
      0.21542174540034292,
      0.21170530896837106,
      0.20805163656344813,
      0.20445987568988205,
      0.20092910155058188,
      0.19745835026435438,
      0.19404662298889877,
      0.19069282715385424,
      0.18739587209856368,
      0.1841547195674693,
      0.18096837110761127,
      0.1778358595992239,
      0.1747562438689469,
      0.17172860520654065,
      0.16875204505659774,
      0.165825683182897,
      0.16294865673984502,
      0.16012011918504643,
      0.15733923976914796,
      0.15460520289482904,
      0.15191720778344248,
      0.14927446792625546,
      0.14667621114715668,
      0.14412167889048372,
      0.14161012591539618,
      0.13914082035842384,
      0.13671304325514208,
      0.13432608820721662,
      0.13197926123847348,
      0.12967188073212077,
      0.12740327679390287,
      0.12517279136960469,
      0.12297977781262019,
      0.120823600709536,
      0.11870363581000273,
      0.11661926971180267,
      0.11456989962415998,
      0.11255493327934264,
      0.11057378864890423,
      0.10862589362881706,
      0.1067106863044064,
      0.10482761419824202,
      0.10297613448445744,
      0.1011557136686575,
      0.09936582743232945,
      0.09760596053362257,
      0.09587560650294209,
      0.09417426757185907,
      0.09250145444082691,
      0.09085668626643512,
      0.08923949048055377,
      0.08764940257123266,
      0.08608596600597496,
      0.08454873200473874,
      0.08303725946386814,
      0.08155111487221003,
      0.08008987200557151,
      0.07865311187941014,
      0.07724042267915783,
      0.07585139959220097,
      0.07448564475723969,
      0.07314276696468314,
      0.07182238171524671,
      0.07052411097497097,
      0.06924758331931295,
      0.0679924335257653,
      0.06675830242097355,
      0.06554483698872302,
      0.06435169030285061,
      0.06317852125372837,
      0.062024994442515746,
      0.060890780245608817,
      0.05977555459521469,
      0.05867899874254092,
      0.05760079942515623,
      0.05654064870507631,
      0.055498243810536356,
      0.05447328718507118,
      0.053465486161341176,
      0.05247455310818572,
      0.05150020515760684,
      0.05054216421354559,
      0.049600156848398795,
      0.04867391430264354,
      0.04776317241333383,
      0.046867671368982504,
      0.04598715566528879,
      0.04512137435721596,
      0.04427008048851308,
      0.04343303131577842,
      0.042609988157096004,
      0.041800716364501826,
      0.04100498526400888,
      0.04022256801200808,
      0.03945324158424127,
      0.038696786632883326,
      0.037952987688492555,
      0.03722163288695251,
      0.03650251371038125,
      0.035795425268688244,
      0.035100166226202746,
      0.03441653842362579,
      0.0337443471169118,
      0.033083400904586426,
      0.0324335114008221,
      0.031794493543562834,
      0.03116616543835594,
      0.030548348067755717,
      0.029940865476941168,
      0.029343544652383497,
      0.028756215526687934,
      0.02817871094399965,
      0.02761086638835119,
      0.027052520250474256,
      0.026503513520412893,
      0.025963689840005973,
      0.025432895597841263,
      0.02491097971642984,
      0.024397793621080025,
      0.023893191256586656,
      0.02339702894204463,
      0.022909165464050533,
      0.02242946192450989,
      0.0219577818747307,
      0.021493991021344028,
      0.021037957362289913,
      0.020589551088089523,
      0.020148644576136663,
      0.019715112399979445,
      0.01928883115601146,
      0.018869679565541198,
      0.018457538298655648,
      0.018052290072853656,
      0.01765381957531459,
      0.01726201339284185,
      0.016876760050678456,
      0.016497950040374316,
      0.016125475536784693,
      0.015759230516299627,
      0.01539911080545695,
      0.01504501388911956,
      0.014696839074775486,
      0.014354487313944493,
      0.014017861093837602,
      0.013686864697636865,
      0.013361403968969681,
      0.013041386286411846,
      0.012726720651810451,
      0.012417317632625777,
      0.012113089081016486,
      0.011813948488042143,
      0.01151981068222951,
      0.011230592011864056,
      0.0109462102586854,
      0.010666584414618555,
      0.010391634950894754,
      0.01012128371595865,
      0.009855453794428145,
      0.009594069529633974,
      0.009337056672213835,
      0.00908434203786202,
      0.008835853729162875,
      0.008591521057057372,
      0.008351274524206346,
      0.008115045756098059,
      0.007882767607805157,
      0.00765437398338781,
      0.007429799856508871,
      0.0072089814413027545,
      0.006991855833927559,
      0.006778361363865082,
      0.006568437294439318,
      0.006362023947297219,
      0.00615906256345322,
      0.005959495365434886,
      0.0057632655656536845,
      0.005570317455391219,
      0.005380596186257002,
      0.005194047739347788,
      0.0050106189995313116,
      0.00483025785218049,
      0.004652912953134461,
      0.004478533896462609,
      0.004307071048056695,
      0.004138475630920281,
      0.003972699730872184,
      0.003809696159343389,
      0.003649418497269603,
      0.0034918212370570224,
      0.00333685956604755,
      0.0031844893559021363,
      0.0030346672751710717,
      0.002887350772596607,
      0.002742497859135911,
      0.0026000673627983883,
      0.0024600187924541544,
      0.0023223123442648406,
      0.002186908821730292,
      0.0020537696537285917,
      0.0019228569719283376,
      0.0017941335448926304,
      0.0016675628419299203,
      0.001543108838626004,
      0.0014207360665048747,
      0.0013004097216793016,
      0.00118209562367716,
      0.0010657600620881946,
      0.0009513701097983214,
      0.0008388931562615396,
      0.0007282972186049979,
      0.0006195507905076415,
      0.0005126229794068812,
      0.0004074833025207443,
      0.0003041018407367869,
      0.0002024492226314873,
      0.00010249663059867048,
      4.215623476330608e-06,
      -9.242183469647103e-05,
      -0.00018744319228769697,
      -0.00028087544966933035,
      -0.0003727451888543748,
      -0.0004630784997939595,
      -0.000551901108170879,
      -0.0006392382791854103,
      -0.0007251148532646154,
      -0.0008095553561675388,
      -0.0008925838027214359,
      -0.0009742237275945381,
      -0.0010544983474531646,
      -0.0011334305885664457,
      -0.0012110428269715672,
      -0.001287357103722,
      -0.0013623951538468636,
      -0.0014361782628744362,
      -0.0015087274966677417,
      -0.0015800634024340384,
      -0.0016502063375751067,
      -0.0017191763204725836,
      -0.0017869929246494799,
      -0.0018536753493107335,
      -0.0019192425964892291,
      -0.001983713316588329,
      -0.0020471058561820263,
      -0.002109438253732681,
      -0.0021707283549585133,
      -0.0022309935648008586,
      -0.0022902508584591386,
      -0.0023485170642638465,
      -0.002405808815094286,
      -0.002462142442546999,
      -0.0025175339961463327,
      -0.0025719992237089586,
      -0.0026255537158774342,
      -0.0026782125855992693,
      -0.0027299908709310775,
      -0.0027809032251515185,
      -0.002830964216166949,
      -0.0028801879889918895,
      -0.0029285886079576944,
      -0.0029761797426642615,
      -0.0030229749125141483,
      -0.0030689875081142664,
      -0.0031142306656923896,
      -0.003158717159547098,
      -0.0032024595922464155,
      -0.0032454704440949855,
      -0.003287762160301545,
      -0.003329346728933269,
      -0.0033702358936946258,
      -0.003410441168021807,
      -0.0034499740584187644,
      -0.0034888459379148577,
      -0.0035270677407610207,
      -0.003564650336329778,
      -0.0036016043553756664,
      -0.0036379404163495678,
      -0.003673668778794486,
      -0.0037087997019147924,
      -0.003743343173175976,
      -0.003777308864615805,
      -0.003810706578175079,
      -0.0038435457879008685,
      -0.0038758358234486294,
      -0.003907585843048816,
      -0.003938804888631375,
      -0.00396950185758813,
      -0.0039996854488547695,
      -0.004029364196957141,
      -0.004058546588124295,
      -0.004087240921813483,
      -0.004115455419929524,
      -0.0041431980362519865,
      -0.0041704767103384315,
      -0.004197299220452051,
      -0.004223673265337179,
      -0.004249606233217091,
      -0.0042751055745713015,
      -0.0043001784750576755,
      -0.004324832049105229,
      -0.004349073298085267,
      -0.004372909080294749,
      -0.004396346265065053,
      -0.004419391480031723
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334339510371235,
      10.092269888621177,
      9.843374982222334,
      9.59052883239145,
      9.336338045697023,
      9.083048366488875,
      8.8325293244635,
      8.586261519543077,
      8.34533152828332,
      8.110456149519965,
      7.882021042199119,
      7.660129700828174,
      7.4446580626805,
      7.235310197801647,
      7.031671381322979,
      6.8332560020777295,
      6.639548886137791,
      6.450039545385351,
      6.264249504042594,
      6.081753488891592,
      5.902191717261749,
      5.72526581161921,
      5.55074141733252,
      5.378467419214592,
      5.208365810468993,
      5.040425453685504,
      4.87473023232789,
      4.711483839703499,
      4.550965369848171,
      4.393483802673392,
      4.239373743373938,
      4.089007724747923,
      3.942770312543363,
      3.8010312651296783,
      3.664134429414174,
      3.5323860690091715,
      3.4060449549905902,
      3.2853163307569253,
      3.1703484766552954,
      3.0612232734171276,
      2.957945645421841,
      2.8604481117316305,
      2.7685833534682223,
      2.6821191825806157,
      2.600796230370077,
      2.5243548322603355,
      2.452525009565038,
      2.3850389091451802,
      2.3216286083930875,
      2.262005011252453,
      2.2058080260110877,
      2.152668433841158,
      2.1022535727103118,
      2.0542403305621604,
      2.0083414981265273,
      1.9643140914349047,
      1.9219638694584782,
      1.881125639026186,
      1.841663176305624,
      1.8034608621653825,
      1.7664158839200785,
      1.7304450807324656,
      1.6954806001135005,
      1.6614655408677153,
      1.6283509718426306,
      1.596094520499706,
      1.5646631623237195,
      1.5340284230120056,
      1.5041629221073844,
      1.4750401775846753,
      1.446634288716811,
      1.4189201516162453,
      1.3918738534466157,
      1.3654713260710425,
      1.33968837687603,
      1.3145027005265926,
      1.2898935046922682,
      1.265841261183125,
      1.242327529720718,
      1.2193348294625264,
      1.1968465425997725,
      1.1748468383698434,
      1.1533206123506299,
      1.1322542423338406,
      1.1116353612751455,
      1.0914522172395602,
      1.0716934463462384,
      1.0523476464798271,
      1.033403557711189,
      1.0148501682967186,
      0.996676774241422,
      0.9788730101939616,
      0.9614288624770134,
      0.9443346701307435,
      0.9275811196589524,
      0.9111592360910151,
      0.895060371065488,
      0.8792761901984619,
      0.8637986601511315,
      0.8486200354380443,
      0.8337328459209229,
      0.8191298843431428,
      0.8048041937561851,
      0.7907490567625215,
      0.7769579846526544,
      0.7634247069706824,
      0.7501431617028556,
      0.7371074861494743,
      0.7243120079989654,
      0.7117512372854341,
      0.6994198584320489,
      0.6873127224131433,
      0.675424839953129,
      0.6637513745405133,
      0.6522876362916253,
      0.6410290758665432,
      0.6299712787256552,
      0.6191099596831051,
      0.6084409576582965,
      0.5979602146788174,
      0.5876637310664156,
      0.5775476304782055,
      0.5676081668034842,
      0.5578417965874942,
      0.54824584308023,
      0.5388178728590941,
      0.529555139233644,
      0.5204547306792723,
      0.5115136612074663,
      0.5027289266528965,
      0.4940975395549761,
      0.48561654964791684,
      0.4772830563906465,
      0.4690942157188047,
      0.46104724363952826,
      0.45313941785155837,
      0.4453680776008117,
      0.43773062329505236,
      0.43022453950020284,
      0.4228476452509753,
      0.4155978834660445,
      0.40847309982447416,
      0.4014710985577359,
      0.3945896764459818,
      0.3878266441280663,
      0.38117983842749464,
      0.3746471297730894,
      0.36822642635525343,
      0.3619156765995246,
      0.35571296880206815,
      0.3496165175714715,
      0.34362451360068014,
      0.33773513595005744,
      0.3319465702756283,
      0.3262570202654111,
      0.32066471457229856,
      0.31516791070134903,
      0.30976490651894506,
      0.3044540636851059,
      0.2992337686962024,
      0.29410242593704156,
      0.2890584627408739,
      0.2841003320003942,
      0.2792265139354735,
      0.2744355165342438,
      0.2697258758061479,
      0.2650961556758112,
      0.26054494762352054,
      0.256070870152016,
      0.2516725566767045,
      0.24734849061622116,
      0.2430971267523544,
      0.23891704313493523,
      0.23480690411749508,
      0.2307654368502843,
      0.22679141676687667,
      0.22288365763612977,
      0.21904100509005323,
      0.21526246695270804,
      0.21154740463630106,
      0.20789509274505108,
      0.20430468070032876,
      0.20077524490144713,
      0.19730582223904825,
      0.1938954124525983,
      0.1905429207537409,
      0.18724725831727357,
      0.1840073881630679,
      0.18082231244354555,
      0.17769106451056738,
      0.174612703554517,
      0.17158631110296813,
      0.16861098861732418,
      0.16568585586627435,
      0.1628100499582872,
      0.15998272437464764,
      0.15720304842677602,
      0.15447020650055904,
      0.15178339778575334,
      0.1491418358350217,
      0.14654474826983374,
      0.14399137654434388,
      0.1414809755185358,
      0.13901281325330567,
      0.13658617076700388,
      0.13420034162557667,
      0.13185463188733512,
      0.12954835979791046,
      0.12728085561730088,
      0.1250514611073211,
      0.12285952969029892,
      0.12070442602619373,
      0.11858552575813129,
      0.11650221555914932,
      0.11445389264132845,
      0.11243996470513791,
      0.11045984977623147,
      0.10851297580789125,
      0.10659878080595078,
      0.1047167123304977,
      0.10286622762127151,
      0.10104679318213908,
      0.09925788466343961,
      0.09749898677514728,
      0.09576959310306299,
      0.09406920588493341,
      0.09239733597542096,
      0.09075350262997602,
      0.0891372332290639,
      0.08754806320493916,
      0.08598553607914218,
      0.08444920306357596,
      0.08293862310544514,
      0.08145336271723562,
      0.07999299578923279,
      0.07855710325583527,
      0.07714527337896608,
      0.07575710143358091,
      0.07439218955880546,
      0.07305014656974017,
      0.07173058804753482,
      0.07043313603113655,
      0.0691574191172322,
      0.06790307198896757,
      0.06666973563833752,
      0.06545705711802567,
      0.06426468944618721,
      0.06309229158078171,
      0.06193952820236833,
      0.060806069769766,
      0.059691592112938105,
      0.05859577659003481,
      0.05751831002613495,
      0.05645888471404759,
      0.055417197875265174,
      0.05439295182640181,
      0.053385853935705954,
      0.05239561670988517,
      0.05142195730499451,
      0.0504645976627084,
      0.0495232644324043,
      0.048597688904213315,
      0.04768760700129326,
      0.04679275891402994,
      0.04591288925963104,
      0.045047746990796854,
      0.044197085235184785,
      0.04336066133543437,
      0.04253823665039493,
      0.04172957660069694,
      0.04093445057097584,
      0.040152631830198945,
      0.03938389737763733,
      0.03862802804831793,
      0.037884808232380995,
      0.037154026065533405,
      0.036435473252635776,
      0.035728944930456794,
      0.03503423963875109,
      0.03435115946347816,
      0.03367950977392514,
      0.03301909909337945,
      0.032369739057982246,
      0.031731244769692274,
      0.031103434296816036,
      0.030486128689102054,
      0.02987915202960906,
      0.02928233142833611,
      0.02869549690022545,
      0.028118481177929245,
      0.02755111995542114,
      0.026993251550877766,
      0.026444717019084567,
      0.02590536008334594,
      0.025375027109727163,
      0.02485356719315403,
      0.0243408317198549,
      0.023836674606602496,
      0.02334095224444684,
      0.022853523560160013,
      0.022374249743998355,
      0.021902994349028357,
      0.02143962324043862,
      0.020984004343932924,
      0.02053600789217498,
      0.020095506323439986,
      0.019662374176787206,
      0.019236488249515505,
      0.018817727222474444,
      0.018405971821345457,
      0.01800110490287526,
      0.01760301119924364,
      0.017211577324413477,
      0.016826691883453353,
      0.016448245328568672,
      0.016076129835258364,
      0.015710239382149067,
      0.015350469787120853,
      0.01499671879519417,
      0.014648885760245459,
      0.014306871536943318,
      0.013970578842583724,
      0.013639911926420304,
      0.013314776735259952,
      0.012995080627150473,
      0.012680732574315578,
      0.012371643060674085,
      0.012067724093356876,
      0.011768889245742974,
      0.011475053439219547,
      0.011186133022313447,
      0.0109020457415964,
      0.010622710815723161,
      0.010348048750681125,
      0.010077981244140837,
      0.0098124314189698,
      0.009551323757208737,
      0.009294584039019995,
      0.009042139185078707,
      0.008793917275293883,
      0.008549847692790017,
      0.008309860885082683,
      0.008073888580908815,
      0.007841863655950548,
      0.00761371998401407,
      0.007389392762702829,
      0.007168818125561334,
      0.006951933298675093,
      0.006738676570517065,
      0.0065289871580283335,
      0.006322805432449839,
      0.006120072716855719,
      0.005920731374313992,
      0.005724724676807265,
      0.005531996779977933,
      0.005342492758378683,
      0.005156158727055959,
      0.00497294167452443,
      0.0047927893947310295,
      0.004615650619225561,
      0.004441475000555134,
      0.004270212971710314,
      0.004101815831583864,
      0.003936235560024754,
      0.0037734250111940816,
      0.00361333804663034,
      0.0034559290932379867,
      0.0033011531869188227,
      0.003148966311548574,
      0.002999325175234876,
      0.0028521872438748534,
      0.0027075105932811636,
      0.0025652540436403672,
      0.002425377163362343,
      0.002287840110087472,
      0.0021526036971947133,
      0.0020196294625140065,
      0.0018888796062292868,
      0.0017603170146643632,
      0.0016339050060346356,
      0.0015096076064726452,
      0.0013873894470640394,
      0.0012672157074543528,
      0.001149052214643027,
      0.0010328653788268954,
      0.0009186220870439193,
      0.000806289802049017,
      0.0006958365809241038,
      0.0005872310069545997,
      0.00048044214268586527,
      0.00037543949095400866,
      0.0002721933015307363,
      0.00017067426995501277,
      7.08534476291704e-05,
      -2.7297553388228585e-05,
      -0.0001238067422464559,
      -0.0002187015789095162,
      -0.00031200911414816214,
      -0.0004037558219681777,
      -0.0004939678372958724,
      -0.0005826707721503626,
      -0.0006698898927236074,
      -0.0007556499257687332,
      -0.0008399753466049537,
      -0.0009228902717255726,
      -0.0010044182543558842,
      -0.0010845824596464036,
      -0.001163405743077444,
      -0.0012409104791002213,
      -0.001317118712742349,
      -0.001392052182584962,
      -0.0014657322215615542,
      -0.001538179719921759,
      -0.0016094153088775942,
      -0.0016794593017769777,
      -0.0017483316784221398,
      -0.0018160520300025075,
      -0.0018826395085190639,
      -0.0019481131248850056,
      -0.0020124914863430612,
      -0.0020757929521626434,
      -0.0021380354831961688,
      -0.0021992368267594866,
      -0.002259414433622476,
      -0.0023185854249521505,
      -0.002376766576606808,
      -0.002433974410511547,
      -0.0024902253741505794,
      -0.0025455353132539642,
      -0.0025999200496928596,
      -0.00265339507431333,
      -0.0027059755761078786,
      -0.0027576765080619156,
      -0.002808512620567604,
      -0.0028584983347327625,
      -0.0029076478500757647,
      -0.0029559752064880636,
      -0.0030034941166778807,
      -0.0030502181154665768,
      -0.0030961606066571895,
      -0.0031413345974663034,
      -0.003185752927856759,
      -0.0032294282571462044,
      -0.0032723729802638505,
      -0.003314599352719444,
      -0.0033561193542167036,
      -0.003396944837502815,
      -0.0034370873648718234,
      -0.0034765583747112163,
      -0.003515369092452191,
      -0.0035535305939626317,
      -0.0035910536962131734,
      -0.0036279492034977682,
      -0.003664227587177433,
      -0.0036998990967366963,
      -0.003734973939863489,
      -0.003769462049147689,
      -0.0038033732928830382,
      -0.0038367172782850035,
      -0.003869503421122592,
      -0.0039017410843202828,
      -0.003933439481291822,
      -0.003964607629481237,
      -0.003995254296391884,
      -0.0040253883651558174,
      -0.004055018302971692,
      -0.004084152620790214,
      -0.004112799626553431,
      -0.0041409675026749405,
      -0.004168664102500723,
      -0.00419589742668122,
      -0.004222675266341094,
      -0.004249005125595577,
      -0.004274894575517752,
      -0.004300350927471667,
      -0.00432538151012697,
      -0.004349993418098942,
      -0.004374193584464224,
      -0.004397988916097884,
      -0.004421386161779026,
      -0.004444392014982021
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334335406464158,
      10.092256783338238,
      9.8433480471336,
      9.590483349461469,
      9.336270363833249,
      9.082955996829742,
      8.832410776498401,
      8.586115999396101,
      8.34515872001624,
      8.110256053613757,
      7.881793846971016,
      7.659875683986628,
      7.44437752795695,
      7.2350034403424335,
      7.031338676161875,
      6.832897612245872,
      6.639165085200996,
      6.449630649101045,
      6.2638159082947125,
      6.081295736092903,
      5.901710599566465,
      5.7247623780720165,
      5.55021693059233,
      5.377923374872818,
      5.207803784033604,
      5.039847274317503,
      4.8741385161981325,
      4.710881886508628,
      4.55035657604864,
      4.392871530401515,
      4.238761451680609,
      4.0883990624280235,
      3.9421687803614645,
      3.8004401504658696,
      3.663556747538904,
      3.531824524752694,
      3.405501903139646,
      3.284793749331806,
      3.169847953424247,
      3.0607458608806635,
      2.957491880775552,
      2.8600179413428153,
      2.7681761526347795,
      2.681733727694491,
      2.6004311614974647,
      2.5240085903181173,
      2.452195946797836,
      2.384725356067732,
      2.3213288610257354,
      2.2617171785280203,
      2.2055297596087025,
      2.1523976873707,
      2.1019883569176168,
      2.0539788271959254,
      2.0080822576548867,
      1.9640560443511346,
      1.9217062239741127,
      1.8808678071627403,
      1.8414047430892584,
      1.8032014268207688,
      1.7661551333674619,
      1.730182812411014,
      1.6952166878688213,
      1.6611999109519655,
      1.6280835861831222,
      1.5958255499686915,
      1.5643930800888306,
      1.5337575664158474,
      1.5038915333697627,
      1.4747684199420912,
      1.4463622757944075,
      1.4186479637570326,
      1.3916015654458385,
      1.3651990148350441,
      1.3394160976539071,
      1.3142304948732022,
      1.2896214064329163,
      1.2655692984482418,
      1.2420557272710415,
      1.2190632103897359,
      1.196575128995362,
      1.1745756520313058,
      1.1530496750159653,
      1.131983592029126,
      1.1113650425262012,
      1.0911822751576048,
      1.071423916783812,
      1.0520785595426536,
      1.0331349397210343,
      1.0145820436324813,
      0.996409165788599,
      0.9786059399807189,
      0.9611623518875396,
      0.944068739847833,
      0.92731578984566,
      0.9108945267094376,
      0.8947963017740858,
      0.8790127806422284,
      0.8635359300855877,
      0.8483580041276855,
      0.8334715324399983,
      0.818869307455841,
      0.8045443722923058,
      0.7904900092690988,
      0.7766997291346951,
      0.7631672613568636,
      0.7498865435615757,
      0.736851713105315,
      0.7240570974773799,
      0.7114972061444262,
      0.6991667230909511,
      0.6870604989953251,
      0.6751735441131326,
      0.6635010219414534,
      0.652038242234273,
      0.6407806553657129,
      0.6297238467043531,
      0.618863530573181,
      0.6081955452961417,
      0.5977158323696273,
      0.5874203915116277,
      0.5773053459726604,
      0.5673669496026005,
      0.5576016999058319,
      0.5480069744349816,
      0.5385803012680079,
      0.5293189098567652,
      0.5202198734111363,
      0.5112801963898824,
      0.5024968683068887,
      0.49386689764466657,
      0.48538733156070174,
      0.4770552676906488,
      0.4688678607861838,
      0.4608223259182121,
      0.4529159400883871,
      0.44514604212705294,
      0.43751003192017374,
      0.4300054052240974,
      0.42262999608779167,
      0.4153817366609603,
      0.4082584654489363,
      0.40125798215607156,
      0.3943780808982694,
      0.3876165703033033,
      0.380971285927891,
      0.3744400972112601,
      0.3680209118025928,
      0.3617116775956637,
      0.3555104915186716,
      0.34941556816775327,
      0.34342509427336687,
      0.337537246305977,
      0.33175020820864304,
      0.3260621826588371,
      0.3204713975874911,
      0.31497610999747244,
      0.30957461823066673,
      0.30426528493000154,
      0.2990464953727642,
      0.2939166532130403,
      0.28887418523136776,
      0.2839175439284442,
      0.27904520921312076,
      0.2742556888273242,
      0.2695475185580961,
      0.2649192622685692,
      0.26036951126929436,
      0.2558968838206618,
      0.25150001636491615,
      0.2471773965821965,
      0.24292747646658452,
      0.23874883228674865,
      0.23464012719268207,
      0.23060008761379255,
      0.22662748843586653,
      0.22272114312631613,
      0.21887989704304017,
      0.2151027492127839,
      0.2113890601801037,
      0.2077381077873749,
      0.20414904352138463,
      0.2006209451892678,
      0.19715285048745113,
      0.1937437576068919,
      0.19039256930968743,
      0.1870981988825686,
      0.18385961054149982,
      0.1806758071562907,
      0.1775458224591458,
      0.17446871593252503,
      0.1714435691874968,
      0.16846948370593656,
      0.16554557953845508,
      0.16267099378339794,
      0.15984487995028185,
      0.15706640716211184,
      0.1543347598753645,
      0.15164913720839768,
      0.14900875276069225,
      0.14641283414672512,
      0.1438606227274123,
      0.14135137323951869,
      0.13888435388921938,
      0.13645884565038646,
      0.13407414208341603,
      0.1317295492221319,
      0.12942438519849778,
      0.12715798026595868,
      0.12492967621027493,
      0.12273882651429076,
      0.12058479576312293,
      0.11846695979641866,
      0.11638470514466898,
      0.11433742911028581,
      0.11232453930344466,
      0.11034545373261956,
      0.10839960043877724,
      0.1064864173464254,
      0.10460535211514024,
      0.10275586193410545,
      0.10093741330341266,
      0.09914948191612678,
      0.0973915525397249,
      0.09566311885778835,
      0.09396368310640263,
      0.09229275614689342,
      0.0906498571098802,
      0.0890345135448707,
      0.08744626094373667,
      0.08588464277823767,
      0.08434921033621694,
      0.0828395224739237,
      0.08135514568112677,
      0.0798956538803723,
      0.07846062824954082,
      0.07704965714310842,
      0.07566233580062963,
      0.0742982663690537,
      0.07295705766349958,
      0.0716383252957795,
      0.07034169148688432,
      0.06906678471897215,
      0.0678132397821457,
      0.06658069768523679,
      0.06536880562735328,
      0.06417721656919834,
      0.06300558947426142,
      0.0618535891582996,
      0.06072088605580776,
      0.05960715610579873,
      0.05851208073089065,
      0.05743534681449817,
      0.05637664643444981,
      0.05533567696882851,
      0.05431214089404517,
      0.05330574569106971,
      0.052316203767139545,
      0.051343232335234336,
      0.050386553512536625,
      0.04944589398850948,
      0.048520985062976044,
      0.047611562702146226,
      0.046717367106190906,
      0.045838142957668804,
      0.044973639273451646,
      0.04412360926019334,
      0.04328781018281367,
      0.04246600363310449,
      0.041657955057613716,
      0.04086343398443718,
      0.04008221357501455,
      0.03931407080082317,
      0.038558786525955444,
      0.037816145360224415,
      0.03708593547540521,
      0.03636794851152169,
      0.035661979712806366,
      0.03496782783556044,
      0.03428529491700452,
      0.03361418634292827,
      0.03295431062926151,
      0.03230547966741281,
      0.03166750844796845,
      0.03104021496201836,
      0.030423420444855916,
      0.029816949097570183,
      0.02922062799213265,
      0.028634287229212792,
      0.028057759611285954,
      0.027490880880092793,
      0.02693348947522377,
      0.026385426462450918,
      0.02584653568841442,
      0.02531666349420537,
      0.024795658890880475,
      0.02428337342659318,
      0.023779661102058095,
      0.023284378429253162,
      0.022797384181571855,
      0.022318539712662584,
      0.021847708553572005,
      0.02138475660394905,
      0.0209295518804488,
      0.020481964642570027,
      0.020041867469939658,
      0.019609135049444476,
      0.019183643989779293,
      0.018765273158992762,
      0.018353903394229643,
      0.017949417410320485,
      0.017551700065620693,
      0.017160638057008352,
      0.016776120003893575,
      0.016398036342655346,
      0.01602627939348214,
      0.015660743205439646,
      0.015301323694697024,
      0.014947918509967057,
      0.014600426860385207,
      0.014258749858403438,
      0.01392279028467208,
      0.013592452384883439,
      0.013267642111522246,
      0.012948266907800671,
      0.012634235891785322,
      0.012325459658950964,
      0.0120218501352419,
      0.011723320912270536,
      0.011429786952921708,
      0.011141164720598356,
      0.010857371866735207,
      0.0105783276776408,
      0.01030395269331893,
      0.010034168669221601,
      0.009768898873828615,
      0.009508067723881066,
      0.009251601028666187,
      0.008999425705263077,
      0.008751469962737247,
      0.008507663160118058,
      0.0082679357964605,
      0.00803221972816583,
      0.00780044777424556,
      0.007572553866138581,
      0.0073484731704379375,
      0.007128141910468743,
      0.006911497376943067,
      0.006698477872752923,
      0.006489022680742542,
      0.006283072207185957,
      0.006080567887821078,
      0.005881451938885861,
      0.005685667715611924,
      0.0054931593817332406,
      0.0053038721868500175,
      0.005117752187300668,
      0.004934746512017752,
      0.004754802964052877,
      0.004577870229205504,
      0.0044038979863647775,
      0.004232836671666245,
      0.004064637576711625,
      0.003899252727332261,
      0.0037366351533274986,
      0.003576738583189824,
      0.003419517446872802,
      0.0032649269705648876,
      0.0031129232492414223,
      0.0029634628769913836,
      0.0028165033295336254,
      0.0026720027660076476,
      0.0025299200682249653,
      0.002390214768106476,
      0.0022528469844377884,
      0.0021177776353983914,
      0.001984968278545435,
      0.0018543811635698946,
      0.0017259790839516782,
      0.0015997255555859724,
      0.00147558452061444,
      0.0013535205623973752,
      0.0012334990270393457,
      0.0011154857220458238,
      0.0009994470494012067,
      0.0008853499242723651,
      0.0007731618871242971,
      0.0006628510142296332,
      0.0005543858434310257,
      0.00044773552416172124,
      0.00034286965148388316,
      0.0002397583761671684,
      0.0001383723635259145,
      3.868281838016621e-05,
      -5.933872355272715e-05,
      -0.00015572015742715343,
      -0.00025048894428700194,
      -0.0003436720406898613,
      -0.00043529596009667673,
      -0.0005253867751105741,
      -0.0006139702390837424,
      -0.00070107151161421,
      -0.0007867153148455291,
      -0.0008709261130729617,
      -0.0009537278589513881,
      -0.0010351441384901237,
      -0.0011151981490949655,
      -0.0011939126442397485,
      -0.0012713100675130328,
      -0.0013474124496826877,
      -0.0014222415208389081,
      -0.0014958186239419522,
      -0.0015681646521485434,
      -0.0016393000673116849,
      -0.0017092451966671306,
      -0.0017780200071690604,
      -0.0018456440185482669,
      -0.0019121365771295118,
      -0.0019775165628469773,
      -0.002041802520701156,
      -0.0021050128224695906,
      -0.002167165541785194,
      -0.002228278276836532,
      -0.002288368435943146,
      -0.002347453127816433,
      -0.0024055492351435243,
      -0.002462673257742957,
      -0.00251884147937356,
      -0.002574069847234822,
      -0.002628374180900974,
      -0.002681769865470451,
      -0.002734272077375542,
      -0.0027858958948381563,
      -0.0028366559244332847,
      -0.0028865665049211246,
      -0.002935641998766771,
      -0.002983896365108446,
      -0.0030313433100275385,
      -0.0030779963275734774,
      -0.003123868701799033,
      -0.0031689735971826404,
      -0.003213323881330115,
      -0.0032569321182368185,
      -0.003299810611158262,
      -0.003341971565466052,
      -0.0033834271302584326,
      -0.0034241890705965943,
      -0.003464269017561361,
      -0.0035036782654523807,
      -0.003542428064420692,
      -0.003580529511926924,
      -0.0036179934309283515,
      -0.003654830539704264,
      -0.003691051213857667,
      -0.003726665775210603,
      -0.0037616844050954276,
      -0.003796117018949847,
      -0.003829973578916076,
      -0.0038632637001180903,
      -0.0038959968157876415,
      -0.003928182367015732,
      -0.0039598293943999725,
      -0.003990946891731288,
      -0.0040215437203654685,
      -0.004051628586705371,
      -0.004081209974709395,
      -0.0041102964337336005,
      -0.004138896262010642,
      -0.004167017583819485,
      -0.004194668343270405,
      -0.0042218564819344944,
      -0.004248589677190674,
      -0.0042748755440981424,
      -0.004300721550928118,
      -0.0043261351056892265,
      -0.0043511234261585895,
      -0.004375693631995993,
      -0.004399852626063409,
      -0.004423607401702277,
      -0.004446964662896567,
      -0.004469931136987759
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334331289437161,
      10.092243634151831,
      9.843321022242069,
      9.5904377193315,
      9.336202466564615,
      9.082863334567474,
      8.832291851923666,
      8.585970012441518,
      8.344985350497696,
      8.110055298733226,
      7.881565891158373,
      7.6596208039521745,
      7.444096027842896,
      7.234695615074661,
      7.03100480251851,
      6.832537953829831,
      6.638779915757437,
      6.449220283998568,
      6.2633807445585505,
      6.0808363214667684,
      5.901227727072585,
      5.724257097539836,
      5.549690506867451,
      5.377377304796469,
      5.20723964463194,
      5.039266897005506,
      4.873544523666654,
      4.710277586215441,
      4.54974537383058,
      4.392256798065858,
      4.238146656874493,
      4.087787864000175,
      3.941564689416969,
      3.7998464645179055,
      3.6629764925936814,
      3.5312604156401664,
      3.404956303698158,
      3.2842686455886234,
      3.1693449387110024,
      3.060265992097366,
      2.957035700167544,
      2.859585396305844,
      2.767766618310437,
      2.681345980520523,
      2.6000638426253277,
      2.523660141196193,
      2.4518647193119225,
      2.384409680301656,
      2.3210270313390367,
      2.2614273030779115,
      2.205249489584996,
      2.1521249759496643,
      2.101721195424602,
      2.05371540009262,
      2.0078211192878808,
      1.9637961264493091,
      1.921446735565454,
      1.880608162432926,
      1.8411445261378878,
      1.8029402353627666,
      1.7658926537708466,
      1.7299188416945703,
      1.6949510988401724,
      1.6609326289329243,
      1.6278145724434787,
      1.5955550232752567,
      1.564121508647001,
      1.5334852707651154,
      1.5036187449076805,
      1.4744952959594368,
      1.4460889241794421,
      1.4183744607075568,
      1.3913279880445175,
      1.364925436967942,
      1.3391425725577495,
      1.3139570626977408,
      1.289348098686062,
      1.265296142019514,
      1.2417827469145613,
      1.2187904287520293,
      1.1963025676461014,
      1.1743033318688274,
      1.152777616963804,
      1.1317118332857508,
      1.111093627034384,
      1.0909112480494707,
      1.0711533141344125,
      1.051808411428344,
      1.032865272695087,
      1.0143128815019387,
      0.9961405308802777,
      0.9783378536271432,
      0.9608948345907482,
      0.9438018118849086,
      0.9270494712486884,
      0.9106288372306053,
      0.894531261192232,
      0.8787484085470777,
      0.8632722457490363,
      0.8480950266672107,
      0.8332092807136379,
      0.8186077999950644,
      0.8042836274245093,
      0.7902300454819962,
      0.7764405649971269,
      0.7629089147406357,
      0.7496290322498373,
      0.7365950543212144,
      0.723801308086389,
      0.7112423029728989,
      0.6989127224455417,
      0.6868074170358544,
      0.6749213967318792,
      0.663249824580896,
      0.6517880100760968,
      0.6405314031540661,
      0.6294755886350679,
      0.6186162807324088,
      0.6079493175561839,
      0.5974706398942377,
      0.5871762468105958,
      0.5770622615321943,
      0.567124937592043,
      0.5573608133546625,
      0.5477673210858331,
      0.5383419502162629,
      0.5290819064729323,
      0.5199842477567364,
      0.5110459683202716,
      0.5022640517459288,
      0.4936355024156067,
      0.4851573647141803,
      0.4768267344606087,
      0.4686407653050842,
      0.460596671566077,
      0.4526917295283208,
      0.4449232775620245,
      0.43728871521526974,
      0.42978554961927173,
      0.42241162971758545,
      0.41516487631404014,
      0.408043121052999,
      0.4010441592713688,
      0.39416578217344006,
      0.38740579658625485,
      0.380762036653905,
      0.37423237085801114,
      0.36781470641420877,
      0.3615069907167301,
      0.3553073295485716,
      0.3492139373994383,
      0.343224997236309,
      0.3373386827076231,
      0.3315531759523163,
      0.32586667843165984,
      0.3202774174155402,
      0.3147836493632651,
      0.3093836739286503,
      0.3040758535150197,
      0.298858572419546,
      0.2937302336761791,
      0.28868926358415625,
      0.2837341143872376,
      0.27886326560185015,
      0.2740752248203308,
      0.26936852774224296,
      0.264741737884911,
      0.2601934465113269,
      0.2557222719401382,
      0.25132685328055293,
      0.24700568203791762,
      0.24275720774360346,
      0.23858000495505863,
      0.23447273559922266,
      0.23043412550461964,
      0.2264629490784782,
      0.22255801932699737,
      0.21871818132672508,
      0.21494242527367055,
      0.21123011120544324,
      0.2075805201950513,
      0.2039928058006084,
      0.20046604691357994,
      0.19699928195396837,
      0.19359150769721892,
      0.19024162453758148,
      0.18694854773984018,
      0.1837112425307257,
      0.18052871261595915,
      0.17739999226440364,
      0.17432414113322503,
      0.17130024111722475,
      0.1683273939321471,
      0.1654047195328618,
      0.16253135508150537,
      0.15970645397334515,
      0.15692918540040823,
      0.15419873376614973,
      0.15151429807011146,
      0.1488750919744807,
      0.14628034307663065,
      0.14372929265301673,
      0.14122119554854695,
      0.13875531981198486,
      0.13633094634955983,
      0.13394736880040367,
      0.13160389320704408,
      0.1292998377606543,
      0.12703453259517025,
      0.12480731964922691,
      0.12261755225180003,
      0.12046459506159349,
      0.11834782381790464,
      0.1162666251455171,
      0.11422039630480194,
      0.11220854495016432,
      0.1102304890547682,
      0.10828565667812869,
      0.10637348586780847,
      0.10449342423137926,
      0.10264492892751023,
      0.1008274664917405,
      0.09904051266132569,
      0.09728355223090654,
      0.0955560787669947,
      0.09385759461269057,
      0.09218761072551436,
      0.09054564627049705,
      0.08893122873824104,
      0.08734389361071236,
      0.0857831844848016,
      0.08424865267037446,
      0.08273985713005043,
      0.08125636427101236,
      0.07979774805573929,
      0.07836358980532661,
      0.07695347776187739,
      0.07556700717180774,
      0.07420378029852967,
      0.07286340608804284,
      0.07154550024083635,
      0.0702496848875577,
      0.06897558850481146,
      0.06772284597770524,
      0.06649109834543182,
      0.06527999278264938,
      0.06408918239292502,
      0.06291832621522278,
      0.06176708906731338,
      0.060635141388495746,
      0.059522159058503735,
      0.05842782363394401,
      0.057351822125594906,
      0.05629384671022788,
      0.05525359476670862,
      0.054230768775992394,
      0.053225076274892494,
      0.05223622968235456,
      0.05126394641489474,
      0.050307948463498946,
      0.049367962732668344,
      0.04844372051325686,
      0.047534957582736334,
      0.04664141432547298,
      0.04576283551744324,
      0.04489897028661507,
      0.04404957192456139,
      0.0432143978185179,
      0.04239320936096034,
      0.04158577217704226,
      0.040791855813809084,
      0.04001123352457533,
      0.03924368232822092,
      0.03848898310475663,
      0.03774692056289038,
      0.03701728297389151,
      0.036299862122936385,
      0.03559445310174814,
      0.03490085466807432,
      0.034218868823261465,
      0.03354830101971824,
      0.03288896003830777,
      0.03224065784636178,
      0.031603209481145596,
      0.030976432982856232,
      0.03036014965765861,
      0.02975418376141131,
      0.029158362341386575,
      0.028572515482823208,
      0.027996476122170197,
      0.027430079960498364,
      0.026873165469995627,
      0.026325573816082266,
      0.02578714887260332,
      0.02525773717089056,
      0.024737187789405736,
      0.024225352272533907,
      0.023722084653923618,
      0.023227241470731436,
      0.022740681660196032,
      0.022262266541980644,
      0.021791859644310248,
      0.021329326907639144,
      0.02087453642071416,
      0.02042735857849735,
      0.019987665949733904,
      0.01955533320430983,
      0.019130237105805983,
      0.01871225650599991,
      0.018301272207250696,
      0.017897167170131657,
      0.017499826175574947,
      0.01710913597150002,
      0.016724985115097527,
      0.016347264229970116,
      0.015975865684943077,
      0.015610683579888788,
      0.015251613833012226,
      0.01489855409736873,
      0.014551403779448543,
      0.014210064020175935,
      0.013874437542701984,
      0.01354442862727203,
      0.013219943289329362,
      0.01290088904454888,
      0.012587174991639706,
      0.01227871171643594,
      0.011975411284967137,
      0.011677187273800363,
      0.011383954730248417,
      0.011095630176122792,
      0.010812131350174973,
      0.010533377528410472,
      0.01025928927069284,
      0.009989788452586218,
      0.009724798308902721,
      0.00946424343145869,
      0.009208049530455287,
      0.008956143550374468,
      0.008708453777526224,
      0.008464909616046774,
      0.00822544164169998,
      0.007989981628318184,
      0.0077584625029770956,
      0.007530818273395897,
      0.007306984131916247,
      0.007086896277111873,
      0.006870491988146296,
      0.006657709594930188,
      0.006448488579463481,
      0.006242769338364325,
      0.006040493228922032,
      0.005841602574031578,
      0.00564604066464209,
      0.005453751786543711,
      0.005264681229909504,
      0.005078775144579158,
      0.0048959805450384305,
      0.00471624535047566,
      0.0045395183456755925,
      0.004365749196404898,
      0.00419488838546542,
      0.004026887221847788,
      0.0038616978277394207,
      0.003699273224076644,
      0.0035395671398358035,
      0.0033825339703769603,
      0.00322812898006275,
      0.003076308247544347,
      0.002927028455060912,
      0.0027802471703808015,
      0.002635922546221084,
      0.00249401349985327,
      0.002354479583340535,
      0.0022172809522109926,
      0.002082378552549799,
      0.0019497338975410182,
      0.001819309285486102,
      0.0016910674799050078,
      0.0015649720343206323,
      0.0014409869709185378,
      0.0013190769954503794,
      0.0011992074097434803,
      0.0010813441344868918,
      0.0009654535434363373,
      0.0008515025479803047,
      0.000739458747040205,
      0.0006292901406832468,
      0.0005209654499956517,
      0.00041445372697214916,
      0.0003097246210824953,
      0.00020674833024941758,
      0.00010549547082599353,
      5.93731234124077e-06,
      -9.195453893339031e-05,
      -0.00018820799692682714,
      -0.00028285043365485076,
      -0.00037590893307077434,
      -0.0004674100665512379,
      -0.0005573797618460078,
      -0.0006458436210323077,
      -0.0007328269194887096,
      -0.0008183543931464541,
      -0.000902450380414854,
      -0.0009851389175631138,
      -0.0010664434577609848,
      -0.0011463872240254352,
      -0.0012249930459532752,
      -0.0013022832648855172,
      -0.00137827985340254,
      -0.001453004577930584,
      -0.0015264786196912629,
      -0.0015987229188934142,
      -0.001669758104127005,
      -0.001739604420719247,
      -0.0018082817912027553,
      -0.001875809721689522,
      -0.0019422074166060169,
      -0.0020074938160062994,
      -0.0020716875618822113,
      -0.002134806962900146,
      -0.0021968700156906372,
      -0.00225789429088909,
      -0.002317897256577232,
      -0.0023768959015283346,
      -0.0024349070501193436,
      -0.0024919472757465363,
      -0.00254803283847325,
      -0.0026031796854606875,
      -0.0026574035960718508,
      -0.0027107200976575984,
      -0.002763144246433596,
      -0.0028146909668704035,
      -0.0028653749000150347,
      -0.0029152106075102306,
      -0.0029642121195887724,
      -0.0030123934802821512,
      -0.0030597684715996678,
      -0.0031063505404460186,
      -0.0031521529849837604,
      -0.0031971888859531846,
      -0.003241471075452133,
      -0.0032850120727821535,
      -0.0033278241843163396,
      -0.00336991980648101,
      -0.0034113109145191963,
      -0.0034520092176493515,
      -0.0034920263387045033,
      -0.003531373808878575,
      -0.003570062686520627,
      -0.003608104148083446,
      -0.003645508965415783,
      -0.003682287681913656,
      -0.0037184508765261814,
      -0.0037540087662939104,
      -0.003788971628190163,
      -0.0038233494703100576,
      -0.003857151912555328,
      -0.003890388542047723,
      -0.003923068893632667,
      -0.003955202207595611,
      -0.00398679767573314,
      -0.004017864413759732,
      -0.004048411185560556,
      -0.0040784467173183275,
      -0.00410797954103357,
      -0.0041370179390038874,
      -0.0041655702815790105,
      -0.004193644824683818,
      -0.004221249506871511,
      -0.004248392196894525,
      -0.004275080648075293,
      -0.004301322452515252,
      -0.004327125090036306,
      -0.004352495944638614,
      -0.004377442142787738,
      -0.004401970804064144,
      -0.004426088814573966,
      -0.00444980313403152,
      -0.004473120612895473,
      -0.004496047860438273
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334327160510794,
      10.092230444723349,
      9.8432939148085,
      9.590391948260832,
      9.336134358474657,
      9.082770382631937,
      8.832172553147842,
      8.58582356144594,
      8.344811423913026,
      8.10985389169609,
      7.881337188018458,
      7.659365080927742,
      7.443813588712212,
      7.234386756362796,
      7.030669800203086,
      6.832177074002636,
      6.638393434332768,
      6.448808518603635,
      6.2629440915384125,
      6.080375350291068,
      5.9007432306083825,
      5.723750124590847,
      5.549162320505178,
      5.376829402559119,
      5.206673604524192,
      5.038684553304655,
      4.8729485048695125,
      4.70967120913568,
      4.549132051760504,
      4.391639910589996,
      4.237529682010828,
      4.087174471511496,
      3.940958400486373,
      3.7992505863272106,
      3.662394058685784,
      3.5306941479892364,
      3.4044085735235075,
      3.2837414448417266,
      3.1688398662657766,
      3.059784109994096,
      2.9565775529537,
      2.859150933772524,
      2.7673552164139594,
      2.680956416072927,
      2.599694756697954,
      2.5233099742932374,
      2.4515318230690504,
      2.3840923837569252,
      2.3207236280175243,
      2.2611358989697825,
      2.20496773320398,
      2.151850817635177,
      2.101452604833346,
      2.0534505659181295,
      2.007558597804882,
      1.963534851542262,
      1.9211859169370762,
      1.8803472126602012,
      1.8408830289253297,
      1.8026777887730001,
      1.765628943416421,
      1.7296536632305213,
      1.694684324537499,
      1.6606641839057523,
      1.6275444177367118,
      1.5952834256393869,
      1.5638489190154123,
      1.5332119983242276,
      1.5033450130935584,
      1.4742212567416972,
      1.445814682266243,
      1.4181000895363447,
      1.3910535622116282,
      1.3646510285094329,
      1.338868233450969,
      1.3136828326833192,
      1.289074009616868,
      1.2650222206687844,
      1.2415090170573588,
      1.2185169129776041,
      1.1960292872227214,
      1.174030307968098,
      1.1525048699881075,
      1.1314394004946235,
      1.1108215519497562,
      1.0906395755658662,
      1.0708820798678869,
      1.0515376452867335,
      1.03259500084773,
      1.0140431274641497,
      0.9958713170871316,
      0.978069201566229,
      0.9606267646128023,
      0.9435343439132738,
      0.9267826253715423,
      0.910362633057816,
      0.8942657179096006,
      0.8784835453623738,
      0.8630080815612919,
      0.8478315806374932,
      0.8329465717551253,
      0.8183458468092387,
      0.8040224485244674,
      0.7899696591263462,
      0.7761809889329724,
      0.7626501668243981,
      0.7493711300391216,
      0.7363380149594395,
      0.7235451485576823,
      0.710987039862374,
      0.6986583721205015,
      0.686553995383492,
      0.6746689195983439,
      0.6629983073868145,
      0.6515374677518924,
      0.6402818505227464,
      0.6292270402769362,
      0.6183687507130987,
      0.6077028196029736,
      0.5972251870287706,
      0.5869318512767183,
      0.5768189356298333,
      0.5668826933580241,
      0.5571197040202388,
      0.5475274542940056,
      0.5381033952472375,
      0.5288447080991681,
      0.5197484356746461,
      0.5108115628629328,
      0.5020310666327857,
      0.4934039473978521,
      0.48492724700442313,
      0.47659805938448085,
      0.4684135368132351,
      0.4603708927356869,
      0.45246740292840754,
      0.44470040540841305,
      0.43706729921314863,
      0.42956560259949617,
      0.42219317966399356,
      0.4149479401734649,
      0.40782770886431713,
      0.40083027648175257,
      0.39395343127213067,
      0.38719497811334463,
      0.38055275004506395,
      0.37402461489968614,
      0.3676084789297406,
      0.3613022889571339,
      0.3551041596988844,
      0.3490123056671877,
      0.34302490552012216,
      0.3371401303257514,
      0.33135616069665563,
      0.32567119705372805,
      0.3200834658512804,
      0.31459122296432845,
      0.309192769483251,
      0.30388646754325954,
      0.2986707006112821,
      0.293543870920568,
      0.28850440424866647,
      0.2835507525537639,
      0.2786813950199362,
      0.2738948390224952,
      0.2691896200546738,
      0.26456430152448795,
      0.26001747448952517,
      0.2555477571550554,
      0.25115379172230207,
      0.24683407380720768,
      0.2425870500527619,
      0.2384112932864502,
      0.23430546444746586,
      0.23026828856662482,
      0.22629853943927375,
      0.22239502971805455,
      0.21855660436927707,
      0.21478224495529122,
      0.21107131051747877,
      0.2074230853279402,
      0.20383672498333988,
      0.20031130965474958,
      0.19684587840087683,
      0.19343942658523117,
      0.19009085244104695,
      0.18679907299760995,
      0.18356305486407098,
      0.18038180249669944,
      0.17725435056492755,
      0.17417975898739355,
      0.17115710980678825,
      0.16818550479867866,
      0.16526406399729915,
      0.16239192449159298,
      0.15956823972367248,
      0.15679217880400748,
      0.15406292609707087,
      0.15137968069434624,
      0.14874165619418014,
      0.1461480801521393,
      0.14359819398301504,
      0.14109125239233805,
      0.1386265234433692,
      0.13620328803865783,
      0.13382083976312942,
      0.1314784846366725,
      0.12917554089728622,
      0.12691133871226654,
      0.1246852199314166,
      0.12249653781278688,
      0.12034465704958337,
      0.11822895344511039,
      0.11614881364763566,
      0.11410363486195825,
      0.11209282479183814,
      0.11011580138660576,
      0.10817199270394921,
      0.10626083677945977,
      0.10438178128738236,
      0.10253428339188007,
      0.10071780966156453,
      0.09893183589423545,
      0.09717584684550912,
      0.09544933608920946,
      0.09375180598393716,
      0.09208276747235034,
      0.09044173976323207,
      0.08882825035403048,
      0.08724183488456183,
      0.08568203693306523,
      0.08414840787807958,
      0.08264050667953692,
      0.08115789994068347,
      0.07970016152958134,
      0.07826687265869471,
      0.07685762164081168,
      0.07547200381345047,
      0.07410962152620729,
      0.0727700837561936,
      0.07145300614749267,
      0.07015801082706911,
      0.06888472642184922,
      0.06763278785784665,
      0.06640183632552726,
      0.06519151890198867,
      0.06400148879914748,
      0.06283140499792794,
      0.06168093235260724,
      0.060549741385930465,
      0.059437508270184285,
      0.0583439145400969,
      0.057268647108655646,
      0.05621139821682764,
      0.05517186527932643,
      0.054149750758725884,
      0.053144762307179884,
      0.052156612453324466,
      0.05118501852047564,
      0.050229702718753405,
      0.049290391857879354,
      0.04836681731938127,
      0.04745871512849871,
      0.04656582566175953,
      0.04568789366080254,
      0.04482466813207671,
      0.04397590248228012,
      0.043141354260263505,
      0.04232078497801202,
      0.04151396022057531,
      0.04072064952006744,
      0.03994062627968454,
      0.03917366764583784,
      0.03841955452469683,
      0.037678071677108536,
      0.03694900735728117,
      0.036232153308436515,
      0.035527304759178854,
      0.03483426050932202,
      0.03415282280713513,
      0.033482796991412704,
      0.032823991896418034,
      0.03217621939839007,
      0.03153929470579619,
      0.03091303607662052,
      0.030297264745160864,
      0.029691804859889946,
      0.029096483680826516,
      0.028511131381907487,
      0.027935580908949056,
      0.02736966805835934,
      0.026813231306155667,
      0.026266111895357845,
      0.025728153736808496,
      0.025199203345747635,
      0.02467910994794809,
      0.0241677250868446,
      0.023664902863617516,
      0.02317049981788965,
      0.022684374907059053,
      0.022206389494945043,
      0.02173640726102494,
      0.02127429411833951,
      0.02081991835004432,
      0.020373150399233864,
      0.01993386279409062,
      0.01950193021489042,
      0.01907722946749397,
      0.018659639420746044,
      0.018249041079093118,
      0.017845317396089674,
      0.01744835310237021,
      0.01705803507461497,
      0.016674252044756626,
      0.016296894475711993,
      0.01592585481926913,
      0.015561027247032896,
      0.015202307738300998,
      0.014849594085913572,
      0.014502785635368677,
      0.014161783462890548,
      0.013826490375495434,
      0.013496810771761571,
      0.013172650674150398,
      0.012853917646611755,
      0.012540520839379177,
      0.012232370874461858,
      0.011929379883033457,
      0.011631461555376022,
      0.011338530980397117,
      0.011050504573416806,
      0.010767300231849635,
      0.010488837235714003,
      0.010215036153751767,
      0.009945818830624547,
      0.009681108691227814,
      0.009420830300295899,
      0.009164909390874505,
      0.008913273005368252,
      0.008665849381284162,
      0.008422567930417025,
      0.008183359489830639,
      0.007948155853298403,
      0.007716889904433402,
      0.007489495652320328,
      0.007265908297006731,
      0.0070460641342722456,
      0.006829900432918704,
      0.006617355481019909,
      0.006408368865633836,
      0.0062028810447005275,
      0.006000833367901775,
      0.005802168170791143,
      0.005606828885845179,
      0.005414759839414128,
      0.005225906217679828,
      0.005040214265011429,
      0.004857631066720662,
      0.004678104538429312,
      0.004501583533484349,
      0.004328017756643573,
      0.004157357661982686,
      0.003989554557727548,
      0.0038245606437948415,
      0.0036623289642072946,
      0.0035028132292449234,
      0.0033459679706723954,
      0.0031917485035348036,
      0.0030401108965429115,
      0.002891011876395507,
      0.002744408956994876,
      0.0026002603998237306,
      0.002458525030828371,
      0.0023191625178514527,
      0.002182133091379705,
      0.0020473976619899276,
      0.0019149178449832313,
      0.001784655796903814,
      0.0016565744806173914,
      0.001530637443490872,
      0.001406808807963021,
      0.0012850531305864798,
      0.0011653357910071263,
      0.0010476227604592461,
      0.000931880474700655,
      0.0008180758039255313,
      0.0007061763871253496,
      0.0005961503396299236,
      0.0004879662424702478,
      0.0003815932543443949,
      0.0002770010223790945,
      0.00017415973462829034,
      7.304014963536186e-05,
      -2.638658235616946e-05,
      -0.0001241487334535052,
      -0.00022027427457330237,
      -0.00031479064169078033,
      -0.0004077247355036957,
      -0.0004991029378774869,
      -0.000588951279222756,
      -0.0006772954386428953,
      -0.0007641607557888615,
      -0.000849571929638171,
      -0.0009335531982600184,
      -0.0010161284910112716,
      -0.0010973213826176518,
      -0.0011771550521895932,
      -0.0012556522787034506,
      -0.0013328353523831809,
      -0.001408726232216755,
      -0.0014833466703540832,
      -0.0015567178584339474,
      -0.0016288607018514114,
      -0.0016997958443285151,
      -0.0017695434628383268,
      -0.0018381233786903272,
      -0.001905555154335504,
      -0.0019718580555579124,
      -0.0020370510255856445,
      -0.0021011524984949023,
      -0.002164180865998163,
      -0.0022261541553063196,
      -0.002287089858102428,
      -0.0023470053298891543,
      -0.0024059176800057826,
      -0.0024638438074724906,
      -0.00252080022536883,
      -0.002576803093701638,
      -0.0026318684229705114,
      -0.0026860119714506464,
      -0.002739249090893532,
      -0.0027915949458686136,
      -0.002843064490581181,
      -0.0028936723746457267,
      -0.0029434330773130224,
      -0.0029923607161176586,
      -0.003040469293112182,
      -0.003087772488969537,
      -0.0031342838503776197,
      -0.0031800165314458976,
      -0.003224983517211233,
      -0.0032691976873240585,
      -0.003312671554637059,
      -0.0033554175882664684,
      -0.003397448090543214,
      -0.0034387749527293155,
      -0.0034794100008645364,
      -0.003519364762089383,
      -0.0035586505607931975,
      -0.003597278639609658,
      -0.0036352600888407034,
      -0.003672605705587736,
      -0.0037093260997683266,
      -0.0037454316786222127,
      -0.0037809327955193556,
      -0.0038158395426013524,
      -0.00385016189231109,
      -0.0038839096663957394,
      -0.0039170924281283605,
      -0.003949719723592876,
      -0.003981800800933399,
      -0.004013344799556151,
      -0.004044360754001131,
      -0.004074857489560502,
      -0.004104843694930447,
      -0.004134327918392737,
      -0.004163318499519438,
      -0.004191823754460902,
      -0.004219851913411146,
      -0.00424741078997291,
      -0.0042745082130374035,
      -0.004301152006300909,
      -0.0043273497709243195,
      -0.004353108941026164,
      -0.0043784368508880235,
      -0.004403340801872149,
      -0.004427827811256086,
      -0.004451904824219256,
      -0.0044755788112863576,
      -0.00449885647730451,
      -0.004521744351589809
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33432301195556,
      10.092217189135447,
      9.843266672977284,
      9.590345955386976,
      9.336065923577783,
      9.082676985813208,
      8.832052679007106,
      8.585676397193499,
      8.344636641527874,
      8.109651484511383,
      7.881107340130111,
      7.659108069672521,
      7.443529720134875,
      7.234076327916359,
      7.03033308922302,
      6.831814345947082,
      6.638004965084163,
      6.448394627752254,
      6.262505179580501,
      6.0799119898818095,
      5.90025621595481,
      5.7232405058794384,
      5.5486313631052155,
      5.376278608247083,
      5.206104555437539,
      5.038099087900061,
      4.872349258053982,
      4.709061507059763,
      4.548515305644455,
      4.391019500819784,
      4.236909104584585,
      4.086557416995203,
      3.940348410133181,
      3.7986509858857915,
      3.6618078996828434,
      3.5301241692782583,
      3.403857160660738,
      3.283210603102354,
      3.1683312059553757,
      3.0592987018475215,
      2.9561159490152713,
      2.8587130894771575,
      2.766940496101518,
      2.6805636021652166,
      2.599322495771382,
      2.522956708905599,
      2.451195905962811,
      2.383772143882032,
      2.3204173576857516,
      2.260841701847818,
      2.2046832541016617,
      2.1515740031236334,
      2.1011814166130764,
      2.0531831906918376,
      2.007293589581175,
      1.9632711410696422,
      1.920922712038798,
      1.880083924731098,
      1.8406192399379797,
      1.8024130944800374,
      1.7653630280402965,
      1.7293863218492895,
      1.6944154280503105,
      1.6603936553296406,
      1.6272722162791575,
      1.5950098183722574,
      1.5635743568768135,
      1.532936790917413,
      1.503069382919632,
      1.473945354261902,
      1.4455386112404305,
      1.4178239231291716,
      1.390777370603402,
      1.3643748826642508,
      1.3385921865599506,
      1.3134069240825548,
      1.2887982704185021,
      1.2647466775456166,
      1.2412336934181318,
      1.2182418303305353,
      1.195754466828954,
      1.1737557700899743,
      1.1522306353098166,
      1.1311655058747616,
      1.1105480403421406,
      1.0903664910849222,
      1.0706094576524106,
      1.05126551466858,
      1.0323233874284938,
      1.0137720546621234,
      0.9956008062924697,
      0.9777992731920533,
      0.9603574392318512,
      0.9432656416496774,
      0.9265145656329944,
      0.9100952351166838,
      0.8939990009603954,
      0.8782175283611614,
      0.862742783254276,
      0.8475670196775723,
      0.8326827667027819,
      0.8180828160182636,
      0.803760209963814,
      0.7897082303410466,
      0.7759203873481039,
      0.7623904097056532,
      0.7491122344669718,
      0.7360799979443179,
      0.7232880268130693,
      0.7107308298972699,
      0.6984030901930147,
      0.6862996574189523,
      0.6744155409685323,
      0.6627459032126796,
      0.651286052941285,
      0.6400314394931316,
      0.6289776467185666,
      0.6181203884102665,
      0.6074555021269964,
      0.5969789274224886,
      0.5866866622124955,
      0.5765748292277554,
      0.5666396816058237,
      0.5568778398748061,
      0.5472868448743597,
      0.5378641092110804,
      0.5286067906419456,
      0.5195119163862526,
      0.5105764613901015,
      0.5017973965213873,
      0.49317171817815614,
      0.48469646536614647,
      0.47636873048917905,
      0.46818566478063517,
      0.460144480815571,
      0.45224245356226717,
      0.4444769202567073,
      0.4368452796328987,
      0.42934506140666956,
      0.42197414480507417,
      0.4147304284593962,
      0.40761173012530216,
      0.4006158361625118,
      0.39374053199006404,
      0.3869836203370627,
      0.3803429330664951,
      0.3738163371113551,
      0.3674017380432994,
      0.3610970867430355,
      0.3549005040590581,
      0.34881019988371376,
      0.342824349993923,
      0.3369411237142531,
      0.3311587002917891,
      0.32547527907525675,
      0.31988908578414504,
      0.31439837576382795,
      0.30900145177194743,
      0.3036966756772292,
      0.2984824299391565,
      0.29335711624452804,
      0.28831915987396467,
      0.28336701242334345,
      0.2784991528199211,
      0.2737140882972616,
      0.2690103542050053,
      0.2643865137649654,
      0.2598411579178886,
      0.25537290462857004,
      0.2509803984651172,
      0.24666213944411403,
      0.24241657191296004,
      0.23824226691408354,
      0.2341378840134524,
      0.23010214760468145,
      0.2261338309672928,
      0.2222317464456167,
      0.21839473880072224,
      0.2146217848875481,
      0.2109122375535761,
      0.20726538491044938,
      0.2036803847337096,
      0.20015631857370225,
      0.1966922265055101,
      0.19328710251448866,
      0.18993984240088446,
      0.18664936525800688,
      0.18341463893103904,
      0.1802346685559179,
      0.17710848929608225,
      0.17403516149433781,
      0.17101376731319023,
      0.16804340862959824,
      0.16512320543319334,
      0.16225229483812348,
      0.15942983032336946,
      0.1566549810158821,
      0.1539269313263832,
      0.15124488028243677,
      0.14860804145372175,
      0.1460156423635029,
      0.1434669244028112,
      0.14096114233132045,
      0.13849756409607245,
      0.1360754705476804,
      0.13369415528899983,
      0.13135292435751278,
      0.12905109586173175,
      0.12678799998423881,
      0.12456297858848413,
      0.12237538509015877,
      0.12022458418560052,
      0.11810995159032685,
      0.11603087390020392,
      0.11398674832796958,
      0.11197698260744779,
      0.11000099471447666,
      0.10805821267854031,
      0.10614807459216584,
      0.10427002816340333,
      0.10242353056061936,
      0.1006080483967971,
      0.09882305738889723,
      0.09706804235327565,
      0.0953424969387157,
      0.09364592363142114,
      0.09197783319812516,
      0.09033774503578841,
      0.08872518660260088,
      0.0871396936087814,
      0.08558080963132816,
      0.08404808597908489,
      0.08254108164193415,
      0.08105936322236429,
      0.07960250467760435,
      0.07817008727239504,
      0.07676169932843965,
      0.0753769363937199,
      0.0740154007313107,
      0.07267670139223967,
      0.07136045405174625,
      0.07006628084411487,
      0.06879381048806656,
      0.06754267795248892,
      0.06631252433590058,
      0.06510299689543453,
      0.06391374897110562,
      0.06274443950614039,
      0.06159473330058979,
      0.0604643010699563,
      0.05935281885763414,
      0.05825996832644944,
      0.05718543649780129,
      0.05612891565109232,
      0.05509010326819864,
      0.05406870186330497,
      0.0530644191372986,
      0.05207696766187879,
      0.05110606479770522,
      0.05015143277705124,
      0.04921279849322763,
      0.04828989336481968,
      0.04738245333756759,
      0.046490218922556906,
      0.045612935003772226,
      0.04475035071291436,
      0.0439022194220391,
      0.04306829864133434,
      0.0422483499956833,
      0.04144213907085676,
      0.04064943546274143,
      0.039870012612304245,
      0.03910364780505962,
      0.0383501220483403,
      0.03760922009663684,
      0.03688073016633518,
      0.036164444033172365,
      0.035460157066888806,
      0.034767668107550505,
      0.034086779438343144,
      0.033417296618845356,
      0.032759028464368296,
      0.03211178686598917,
      0.031475386991813716,
      0.03084964718216619,
      0.030234388724035974,
      0.02962943585914031,
      0.029034615898945754,
      0.02844975907802309,
      0.027874698444189123,
      0.02730926975955283,
      0.026753311570861003,
      0.026206665220949037,
      0.025669174679881102,
      0.025140686513999432,
      0.024621049877097886,
      0.024110116423048028,
      0.023607740298010327,
      0.02311377815491672,
      0.022628089057103156,
      0.02215053442902458,
      0.02168097792738103,
      0.021219285429207,
      0.02076532522551276,
      0.020318967849039724,
      0.019880085949036976,
      0.01944855430788454,
      0.01902424986585592,
      0.01860705144267665,
      0.018196839968996632,
      0.01779349837613986,
      0.017396911544594648,
      0.017006966399998203,
      0.016623551762643376,
      0.01624655812165567,
      0.015875877918583962,
      0.015511405411781658,
      0.015153036701114675,
      0.014800669530493934,
      0.01445420340869213,
      0.014113539342577851,
      0.013778580135972194,
      0.01344923033962333,
      0.013125396092932342,
      0.012806984934233908,
      0.012493906099835179,
      0.012186070269634372,
      0.011883389541501994,
      0.011585777499920166,
      0.011293149354189722,
      0.011005421580384079,
      0.010722512312605516,
      0.01044434069101009,
      0.010170827352692374,
      0.009901894253716015,
      0.009637464763918106,
      0.009377463417108742,
      0.009121816104751358,
      0.008870449829793054,
      0.008623292865632536,
      0.008380274824546315,
      0.008141326375040643,
      0.007906379338931666,
      0.007675366697195034,
      0.007448222575322508,
      0.007224882118162099,
      0.0070052816618938136,
      0.006789358617525431,
      0.006577051428933514,
      0.006368299528585755,
      0.0061630434050727574,
      0.005961224484177574,
      0.005762785178942603,
      0.005567668847889475,
      0.005375819871908081,
      0.005187183505830991,
      0.005001705981732344,
      0.004819334386937361,
      0.004640016742575284,
      0.004463701971259334,
      0.004290339671221557,
      0.004119880402028304,
      0.003952275554033043,
      0.0037874773992876256,
      0.003625438948845874,
      0.00346611402269041,
      0.0033094571129239202,
      0.0031554234978783363,
      0.003003969320946504,
      0.0028550514057682406,
      0.002708627169418803,
      0.0025646548623673446,
      0.002423093429927384,
      0.0022839025929717125,
      0.00214704255617864,
      0.002012474328997514,
      0.0018801594960935059,
      0.0017500603655729316,
      0.00162213985925946,
      0.0014963614561535222,
      0.0013726892526080081,
      0.0012510879930913293,
      0.001131523020970749,
      0.0010139601996735055,
      0.0008983660329437405,
      0.0007847075462412531,
      0.0006729523928029135,
      0.0005630686881319527,
      0.0004550250249466048,
      0.00034879064898015214,
      0.0002443352362118547,
      0.00014162905394651853,
      4.064269130198542e-05,
      -5.865260454560506e-05,
      -0.00015628518761915755,
      -0.00025228278731341433,
      -0.0003466728144297483,
      -0.0004394822080535403,
      -0.0005307374138576725,
      -0.0006204645516951325,
      -0.0007086892192734349,
      -0.0007954364270383146,
      -0.0008807309892461606,
      -0.0009645972585511151,
      -0.001047059145361471,
      -0.001128140090832529,
      -0.0012078633498674664,
      -0.0012862515859700925,
      -0.001363327087684112,
      -0.001439111919717891,
      -0.0015136276785770897,
      -0.0015868957047930005,
      -0.001658936829311258,
      -0.001729771620922667,
      -0.0017994202443881004,
      -0.0018679025394579872,
      -0.0019352380923560223,
      -0.002001446026504577,
      -0.0020665451794775287,
      -0.0021305542467380412,
      -0.0021934914670926047,
      -0.002255374758070354,
      -0.0023162217414235413,
      -0.0023760497361980616,
      -0.002434875890336126,
      -0.0024927169870169238,
      -0.002549589542666333,
      -0.002605509757005087,
      -0.0026604935703945865,
      -0.0027145566628754897,
      -0.002767714413869067,
      -0.0028199819306991367,
      -0.002871374216119923,
      -0.0029219059282619645,
      -0.0029715914952971193,
      -0.0030204451151280114,
      -0.003068480683596877,
      -0.0031157118365133987,
      -0.0031621520540133364,
      -0.0032078145798375033,
      -0.0032527124352749923,
      -0.0032968584065126197,
      -0.003340265095014374,
      -0.00338294487147336,
      -0.0034249099371323165,
      -0.0034661722698816036,
      -0.0035067436585546246,
      -0.0035466356793292008,
      -0.003585859696656889,
      -0.003624426805945248,
      -0.0036623480298029754,
      -0.0036996342788011088,
      -0.003736296177882825,
      -0.003772344203520541,
      -0.0038077886612112957,
      -0.0038426395605529644,
      -0.0038769068518858985,
      -0.003910600344358954,
      -0.003943729591779288,
      -0.0039763039810060295,
      -0.004008332972411469,
      -0.004039825570697299,
      -0.004070790793112227,
      -0.00410123748199681,
      -0.0041311742886612265,
      -0.004160609853722155,
      -0.004189552478297215,
      -0.004218010372949265,
      -0.004245991721808525,
      -0.004273504511006123,
      -0.004300556534755256,
      -0.004327155533914643,
      -0.004353309131058407,
      -0.004379024739481908,
      -0.004404309757777451,
      -0.004429171350706547,
      -0.004453616579126122,
      -0.0044776525995821525,
      -0.004501286208825754,
      -0.004524524086812749,
      -0.004547372784771266
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33431885333144,
      10.092203898080154,
      9.843239357273406,
      9.590299837791036,
      9.335997302950064,
      9.082583333237347,
      8.831932474325912,
      8.585528825977848,
      8.344461372702375,
      8.109448510152676,
      7.880876843558253,
      7.658850328024089,
      7.443245038408822,
      7.233765004415481,
      7.029995403309833,
      6.8314505648339345,
      6.6376153664115,
      6.44797953235569,
      6.262064989402758,
      6.0794472800217125,
      5.899767783557184,
      5.722729402846337,
      5.548098856179003,
      5.375726199976924,
      5.205533830556795,
      5.03751189000287,
      4.871748230515874,
      4.708449985572423,
      4.547896685517378,
      4.390397152701429,
      4.236286539902673,
      4.085938339868999,
      3.939736374481784,
      3.798049330398157,
      3.6612196881042762,
      3.5295521506517766,
      3.403303729539802,
      3.282677772811873,
      3.1678205947739677,
      3.0588113872654925,
      2.955652487500405,
      2.858273438739178,
      2.766523881673531,
      2.6801688344578523,
      2.5989482449858263,
      2.5226014365620784,
      2.4508579803899,
      2.383449906177403,
      2.320109110050727,
      2.2605455569053894,
      2.204396862757714,
      2.151295316721873,
      2.100908400403016,
      2.0529140331025753,
      2.0070268445905755,
      1.9630057397685303,
      1.9206578611537197,
      1.8798190344127097,
      1.8403538914482114,
      1.8021468818116126,
      1.7650956337690942,
      1.7291175394108051,
      1.6941451272809962,
      1.6601217587285972,
      1.626998682535823,
      1.5947349140035887,
      1.5632985323451065,
      1.5326603545785409,
      1.5027925575069991,
      1.4736682899268003,
      1.4452614105972588,
      1.417546658796899,
      1.3905001118096818,
      1.364097699074177,
      1.338315130083981,
      1.3131300340237297,
      1.2885215780945294,
      1.2644702090645292,
      1.2409574715731442,
      1.2179658761229626,
      1.1954788003143126,
      1.1734804111574206,
      1.1519556031243186,
      1.13089083651581,
      1.1102737768306339,
      1.0900926779451932,
      1.0703361296625256,
      1.0509927006439845,
      1.0320511123529608,
      1.013500341441853,
      0.995329676676651,
      0.9775287477612009,
      0.9600875375204165,
      0.9429963829639252,
      0.9262459689371932,
      0.9098273190056935,
      0.8937317843796689,
      0.8779510298890357,
      0.8624770213867313,
      0.8473020127428778,
      0.8324185328633905,
      0.8178193732089367,
      0.8034975762234526,
      0.7894464233682673,
      0.7756594248583953,
      0.7621303090387304,
      0.7488530124609829,
      0.7358216712045874,
      0.7230306117146978,
      0.7104743422448958,
      0.6981475457597001,
      0.6860450718630673,
      0.6741619296141446,
      0.662493280970945,
      0.6510344344508076,
      0.6397808391991997,
      0.6287280788408752,
      0.6178718663921471,
      0.607208039091808,
      0.5967325361375554,
      0.5864413546614186,
      0.5763306174961356,
      0.5663965773090249,
      0.5566359313243716,
      0.5470462252732518,
      0.5376248389248042,
      0.5283689089785146,
      0.5192754494599926,
      0.5103414268313942,
      0.5015638064983232,
      0.4929395812233325,
      0.4844657878541162,
      0.4761395171843538,
      0.46795791909392065,
      0.4599182054318564,
      0.45201765070338684,
      0.4442535918357025,
      0.43662342712192964,
      0.4291246973708971,
      0.4217552969297456,
      0.41451311325756607,
      0.4073959571932899,
      0.400401610749265,
      0.3935278563508375,
      0.3867724948942535,
      0.38013335692395017,
      0.3736083084320341,
      0.36719525462391656,
      0.36089215075350267,
      0.3546971237097722,
      0.34860837858683785,
      0.34262408793667354,
      0.33674241903434227,
      0.3309615497328135,
      0.3252796786091255,
      0.3196950309350687,
      0.31420586169839076,
      0.3088104750391763,
      0.30350723256703144,
      0.29829451579219796,
      0.2931707256333943,
      0.2881342869315775,
      0.28318365090034964,
      0.27831729639322095,
      0.27353373035418893,
      0.2688314878661935,
      0.2642091321205495,
      0.2596652539184889,
      0.255198471049692,
      0.2508074280352396,
      0.24649063059292745,
      0.24224652340830874,
      0.23807367519748857,
      0.233970743984155,
      0.2299364531420412,
      0.2259695753336422,
      0.2220689224180084,
      0.21823333882504475,
      0.21446179667844248,
      0.2107536424162388,
      0.20710816805299198,
      0.20352453371982035,
      0.20000182253549728,
      0.19653907538686022,
      0.19313528476522157,
      0.18978934429009897,
      0.1865001749642797,
      0.18326674587923814,
      0.18008806300063962,
      0.1769631619199452,
      0.17389110316623313,
      0.17087096912650054,
      0.16790186178779862,
      0.1649829012371732,
      0.16211322462202993,
      0.15929198534567393,
      0.15651835256602062,
      0.1537915105634579,
      0.15111065846733646,
      0.14847500972319994,
      0.14588379197401663,
      0.1433362464843677,
      0.14083162796498772,
      0.13836920434642425,
      0.13594825655816398,
      0.13356807819256367,
      0.13122797528256366,
      0.12892726602038138,
      0.12666528048056544,
      0.1244413605503928,
      0.12225485955926887,
      0.12010514215940091,
      0.11799158417156871,
      0.11591357204591038,
      0.11387050302398953,
      0.11186178500420647,
      0.10988683599004852,
      0.10794508410502328,
      0.10603596722023441,
      0.10415893307229349,
      0.10231343892332778,
      0.10049895139285579,
      0.0987149463524051,
      0.09696090853297595,
      0.09523633151879583,
      0.09354071770717544,
      0.09187357806923822,
      0.09023443206109183,
      0.08862280718871761,
      0.08703823910988041,
      0.08548027138177519,
      0.0839484554151465,
      0.08244235029652706,
      0.08096152272945166,
      0.0795055466434062,
      0.0780740032579029,
      0.07666648106983476,
      0.07528257541918708,
      0.07392188871495342,
      0.07258403011375991,
      0.07126861538553345,
      0.06997526666869648,
      0.06870361271024489,
      0.06745328842654237,
      0.06622393503037213,
      0.0650151999236281,
      0.06382673634234244,
      0.0626582032675567,
      0.0615092657491287,
      0.06037959436401393,
      0.05926886524850309,
      0.0581767599954858,
      0.057102965717931414,
      0.056047174795672165,
      0.05500908484557285,
      0.05398839841236484,
      0.05298482313564316,
      0.051998071541480534,
      0.05102786121210029,
      0.05007391438247661,
      0.04913595800986177,
      0.04821372363464716,
      0.047306947348000866,
      0.04641536962077121,
      0.045538735330106564,
      0.04467679372002403,
      0.04382929815932785,
      0.042996006258494014,
      0.04217667957332723,
      0.04137108378815142,
      0.04057898859317602,
      0.03980016755503987,
      0.03903439798334785,
      0.03828146089057818,
      0.03754114096617657,
      0.036813226539739195,
      0.03609750955760846,
      0.03539378546539954,
      0.03470185323139866,
      0.03402151500775918,
      0.033352576421370544,
      0.03269484633067336,
      0.032048136811650245,
      0.03141226304124734,
      0.030787043243612904,
      0.03017229884599004,
      0.029567854175305722,
      0.028973536688222334,
      0.028389176551450377,
      0.027814606779616707,
      0.027249663365338943,
      0.026694184847777563,
      0.02614801263593695,
      0.025610990744522527,
      0.02508296572476449,
      0.024563786878517967,
      0.024053305878706934,
      0.023551376876201853,
      0.023057856584179023,
      0.02257260413729923,
      0.02209548089033293,
      0.02162635063879943,
      0.021165079480197267,
      0.020711535652396276,
      0.020265589679353224,
      0.01982711423296653,
      0.01939598421346377,
      0.01897207647543184,
      0.018555269918445968,
      0.018145445686637566,
      0.017742486734934938,
      0.017346277936771064,
      0.016956706275458137,
      0.01657366057927445,
      0.01619703159503008,
      0.015826711648585526,
      0.015462595012011485,
      0.015104577775216791,
      0.014752557763108713,
      0.014406434491213342,
      0.014066109179062793,
      0.01373148465550734,
      0.013402465340196498,
      0.013078957441496078,
      0.012760868563060572,
      0.012448107990568832,
      0.012140586380420128,
      0.01183821602017535,
      0.011540910681564938,
      0.011248585422356286,
      0.010961156793842807,
      0.0106785427807737,
      0.010400662740522766,
      0.010127437436548745,
      0.009858788912068196,
      0.009594640400443055,
      0.00933491653935989,
      0.00907954308790905,
      0.008828447252319283,
      0.008581557394181349,
      0.008338803041630921,
      0.008100114962937933,
      0.007865425041289077,
      0.007634666344513904,
      0.007407772919584878,
      0.00718468004937535,
      0.00696532407481129,
      0.006749642316891874,
      0.0065375732570064375,
      0.0063290563717237755,
      0.0061240322259631655,
      0.005922442341861461,
      0.005724229102669303,
      0.005529335940076359,
      0.005337707283966266,
      0.00514928843349145,
      0.004964025628506711,
      0.004781866035739658,
      0.00460275766889434,
      0.004426649445169765,
      0.004253491067479044,
      0.004083233087914057,
      0.003915826955570571,
      0.003751224851138649,
      0.0035893798362824705,
      0.003430245835176007,
      0.003273777389734946,
      0.0031199297358688446,
      0.002968659111294294,
      0.002819922296766613,
      0.002673676866907383,
      0.0025298810870714363,
      0.002388493985050828,
      0.002249475126336268,
      0.002112784850093711,
      0.0019783840561173327,
      0.001846234426563814,
      0.0017162983774422678,
      0.001588538822036705,
      0.0014629191778018906,
      0.001339403661830262,
      0.0012179571312061139,
      0.001098544875135471,
      0.0009811327968504186,
      0.0008656872793678155,
      0.0007521755565908629,
      0.0006405652979646018,
      0.0005308244754671179,
      0.00042292181664514494,
      0.00031682649099309983,
      0.00021250820523173854,
      0.00010993725617756766,
      9.084324835030168e-06,
      -9.007930756337527e-05,
      -0.00018758192342367764,
      -0.00028345137165768075,
      -0.0003777150815021925,
      -0.0004703998714612587,
      -0.0005615320605966384,
      -0.0006511377120859576,
      -0.0007392423918266898,
      -0.0008258713517223542,
      -0.0009110493233597264,
      -0.0009948006342176741,
      -0.00107714907415358,
      -0.00115811817967522,
      -0.0012377311163171353,
      -0.0013160105471472282,
      -0.0013929788423761994,
      -0.0014686579192549217,
      -0.0015430693599030425,
      -0.0016162343815234732,
      -0.001688173817877536,
      -0.0017589082647165338,
      -0.0018284578425827743,
      -0.0018968424667106687,
      -0.0019640816069673647,
      -0.0020301943835802235,
      -0.0020951997694250175,
      -0.002159116301725606,
      -0.002221962288592687,
      -0.002283755543686796,
      -0.0023445136917327994,
      -0.0024042541486639394,
      -0.0024629940367860517,
      -0.0025207500741897277,
      -0.0025775387167825767,
      -0.0026333761402156097,
      -0.002688278271493213,
      -0.002742260768869134,
      -0.0027953390770419227,
      -0.0028475283094596894,
      -0.0028988434477735135,
      -0.0029492991335874144,
      -0.002998909611126736,
      -0.003047689012368156,
      -0.0030956514062003113,
      -0.0031428103827994152,
      -0.0031891793997764705,
      -0.003234771745708297,
      -0.0032796004396952695,
      -0.0033236782764073532,
      -0.003367017704267498,
      -0.00340963126253027,
      -0.003451531064098485,
      -0.0034927290660376376,
      -0.0035332369573263392,
      -0.003573066300221332,
      -0.0036122284801489244,
      -0.0036507347821919797,
      -0.0036885961558054594,
      -0.0037258232701109584,
      -0.0037624267214357806,
      -0.0037984170239861374,
      -0.0038338045174401607,
      -0.003868599324955661,
      -0.0039028113673778325,
      -0.003936450370571611,
      -0.003969525846093412,
      -0.004002047287799408,
      -0.0040340240498751324,
      -0.004065465141995814,
      -0.004096379500021406,
      -0.004126776052739042,
      -0.004156663566347234,
      -0.00418605048792115,
      -0.0042149451629367365,
      -0.0042433559254869,
      -0.004271290736408749,
      -0.004298757691841786,
      -0.0043257645267234515,
      -0.0043523190590259424,
      -0.004378428844793453,
      -0.004404101239888821,
      -0.00442934356232575,
      -0.004454163082789001,
      -0.004478566792322359,
      -0.004502561709929042,
      -0.004526154750807343,
      -0.004549352620093047,
      -0.004572161921901608
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334314688401427,
      10.092190583343646,
      9.843211990519983,
      9.590253631540191,
      9.335928547981162,
      9.082489495216244,
      8.831812026985014,
      8.585380950144057,
      8.344285738176154,
      8.109245108119405,
      7.88064585632323,
      7.658592032457065,
      7.44295974129299,
      7.23345300495746,
      7.029656981133632,
      6.8310859880641654,
      6.637224913066494,
      6.447563522319079,
      6.261623825149823,
      6.078981538200808,
      5.8992782636374494,
      5.722217156748451,
      5.547565151830775,
      5.375172542543319,
      5.20496180698085,
      5.036923345959422,
      4.871145812848635,
      4.707837036004728,
      4.5472766055288,
      4.389773320241076,
      4.235662473951105,
      4.0853177531670735,
      3.939122829699393,
      3.7974461730282862,
      3.6606299882320745,
      3.5289786629529045,
      3.4027488534665697,
      3.282143525333546,
      3.167308596977253,
      3.0583227186442574,
      2.9551877052620794,
      2.857832501053262,
      2.766106014994417,
      2.679772849653467,
      2.598572813717131,
      2.5222450208775995,
      2.4505189483480345,
      2.3831265986558208,
      2.3197998285482115,
      2.2602484129117566,
      2.2041095062930256,
      2.1510156981369684,
      2.100634484060345,
      2.0526440072098526,
      2.00675926217812,
      1.9627395313333103,
      1.9203922331060794,
      1.8795533956051116,
      1.8400878211798346,
      1.8018799732662099,
      1.7648275687591166,
      1.72884811063839,
      1.6938742038888073,
      1.659849262570671,
      1.6267245718156491,
      1.5944594551739675,
      1.5630221768956414,
      1.5323834114666255,
      1.5025152490398326,
      1.4733907659286953,
      1.4449837734114628,
      1.417268980121927,
      1.3902224585975542,
      1.3638201391436537,
      1.3380377164259802,
      1.312852805732079,
      1.28824456539984,
      1.2641934377919832,
      1.240680964838178,
      1.217689655298825,
      1.195202885577212,
      1.173204821863668,
      1.1516803589847688,
      1.1306159738144155,
      1.109999337997326,
      1.0898187058656923,
      1.0700626585658333,
      1.0507197591749051,
      1.031778726061836,
      1.0132285330663249,
      0.9950584672174784,
      0.977258157488061,
      0.9598175859944238,
      0.9427270890432301,
      0.9259773516308109,
      0.9095593973967132,
      0.8934645770256293,
      0.8776845551727802,
      0.8622112977003088,
      0.847037058250324,
      0.8321543652499007,
      0.8175560102801777,
      0.8032350353724115,
      0.7891847220468555,
      0.7753985800694001,
      0.7618703377050539,
      0.7485939315539997,
      0.7355634972761019,
      0.7227733610777608,
      0.710218031169042,
      0.6978921899932835,
      0.6857906869077439,
      0.6739085304790382,
      0.662240882170478,
      0.6507830506271637,
      0.639530484336756,
      0.6284787667929175,
      0.6176236108891514,
      0.6069608531557106,
      0.5964864320962892,
      0.5861963443563502,
      0.5760867127855064,
      0.5661537900807219,
      0.5563943520127783,
      0.5468059459200026,
      0.5373859189081647,
      0.528131386968229,
      0.519039351303949,
      0.5101067699086903,
      0.5013306027656649,
      0.492707839066257,
      0.48423551325884695,
      0.47591071446235417,
      0.4677305916965643,
      0.4596923561203013,
      0.4517932816081775,
      0.44403070455971105,
      0.4364020230140938,
      0.4289047901542967,
      0.4215369135765413,
      0.41429627001063335,
      0.40718066348948934,
      0.40018787153357754,
      0.39331567378539317,
      0.38656186944227744,
      0.3799242875582719,
      0.3734007934200357,
      0.3669892914405737,
      0.3606877412016035,
      0.35449427545809026,
      0.34840709477471277,
      0.34242436877160387,
      0.3365442625856087,
      0.3307649528287737,
      0.32508463717965447,
      0.31950154033504496,
      0.31401391682281604,
      0.30862007224005433,
      0.3033183681004643,
      0.29810718474574943,
      0.2929849226789055,
      0.2879500063867109,
      0.28300088658318834,
      0.2781360417016797,
      0.2733539785070006,
      0.2686532320780221,
      0.2640323654184912,
      0.25948996914683586,
      0.25502466092346154,
      0.25063508514034377,
      0.24631975342678544,
      0.2420771106730859,
      0.23790572328813708,
      0.23380424784842718,
      0.22977140671395896,
      0.2258059720128895,
      0.22190675503664636,
      0.21807259968748147,
      0.21430247345290404,
      0.21059571644395975,
      0.20695162439334078,
      0.20336935980610454,
      0.19984800723442162,
      0.19638660858423168,
      0.19298415365996954,
      0.18963953555365726,
      0.18635167713907955,
      0.18311954851385975,
      0.17994215633516203,
      0.17681853676431997,
      0.17374775058259212,
      0.17072888018790125,
      0.1677610276293625,
      0.16484331303009364,
      0.16197487354102416,
      0.15915486263096906,
      0.15638244945159738,
      0.15365681831916544,
      0.1509771682816341,
      0.1483427127757429,
      0.14575267931704153,
      0.14320630908209322,
      0.14070285698049775,
      0.1382415908876967,
      0.13582179178631304,
      0.13344275312488607,
      0.13110378090595862,
      0.12880419333433116,
      0.12654332055241588,
      0.124320504532771,
      0.12213509851012663,
      0.11998646709032199,
      0.11787398610199785,
      0.11579704210156937,
      0.11375503240199697,
      0.11174736467113254,
      0.10977345700840666,
      0.1078327374443889,
      0.10592464401358209,
      0.10404862451610071,
      0.10220413623519066,
      0.10039064573717338,
      0.09860762875282872,
      0.09685457010241212,
      0.0951309635237298,
      0.09343631150552467,
      0.09177012499106188,
      0.09013192331459303,
      0.08852123400105434,
      0.0869375928451016,
      0.08538054344037353,
      0.08384963720009997,
      0.08234443324908919,
      0.08086449826657736,
      0.07940940630489186,
      0.07797873863407392,
      0.076572083764785,
      0.0751890372172827,
      0.07382920141078925,
      0.0724921853454728,
      0.07117760481045862,
      0.06988508214915896,
      0.06861424599378403,
      0.06736473141419741,
      0.06613617967682266,
      0.06492823812126715,
      0.06374056004357674,
      0.06257280468074729,
      0.06142463704518488,
      0.06029572767575236,
      0.059185752882880645,
      0.058094394356786094,
      0.057021339186863716,
      0.05596627967530712,
      0.05492891340223506,
      0.05390894312927061,
      0.05290607660479442,
      0.05192002639749025,
      0.050950510046915434,
      0.04999724989532408,
      0.04905997289974953,
      0.04813841069035114,
      0.04723229933772461,
      0.04634137938218676,
      0.04546539585416587,
      0.04460409800343522,
      0.043757239161662256,
      0.04292457700562973,
      0.042105873296074965,
      0.04130089381022364,
      0.0405094081211031,
      0.039731189804739844,
      0.038966016274743706,
      0.038213668570945665,
      0.037473931479987704,
      0.036746593479579925,
      0.03603144657587586,
      0.0353282862752172,
      0.034636911524957875,
      0.033957124578480095,
      0.03328873099329238,
      0.03263153973796158,
      0.03198536282175544,
      0.03135001559800833,
      0.03072531639926812,
      0.03011108666807279,
      0.029507150851029503,
      0.028913336336211223,
      0.028329473358047967,
      0.027755395033668764,
      0.02719093728947496,
      0.02663593879870933,
      0.026090241069651746,
      0.02555368815660478,
      0.025026126730799,
      0.024507406065907827,
      0.023997377919235556,
      0.023495896473195194,
      0.023002818560143547,
      0.022518003280236187,
      0.022041311977859322,
      0.021572608545067366,
      0.021111759111292,
      0.020658632060076926,
      0.020213097965304058,
      0.019775029523437352,
      0.019344301474769125,
      0.01892079087620252,
      0.01850437679124912,
      0.018094940204608126,
      0.01769236427483025,
      0.01729653395244214,
      0.01690733620376895,
      0.016524659854198372,
      0.016148395610561087,
      0.015778436103543333,
      0.015414675536748454,
      0.015057010073703001,
      0.014705337481490006,
      0.014359557385581659,
      0.014019571073075398,
      0.013685281430401212,
      0.013356592950626082,
      0.013033411746928429,
      0.012715645540647155,
      0.01240320359209142,
      0.012095996688300447,
      0.011793937193816982,
      0.011496938827820383,
      0.011204916727476272,
      0.010917787483933633,
      0.010635469156319403,
      0.010357881212663523,
      0.010084944334868683,
      0.009816580425761402,
      0.009552713002342447,
      0.009293266774887564,
      0.009038167548722933,
      0.008787342423158302,
      0.008540719798024517,
      0.008298229308813375,
      0.008059801747962352,
      0.007825369066862587,
      0.007594864293386648,
      0.00736822161244958,
      0.0071453762604661636,
      0.006926264627486312,
      0.006710824160240521,
      0.006498993371105275,
      0.006290711787670597,
      0.006085919893424998,
      0.005884559282510656,
      0.005686572404679211,
      0.005491902772306826,
      0.005300494776722035,
      0.005112293737156197,
      0.004927245876964964,
      0.004745298398780575,
      0.004566399372777434,
      0.0043904977428093385,
      0.004217543278510782,
      0.004047486613716647,
      0.0038802792116440447,
      0.0037158733014710974,
      0.003554221945510848,
      0.0033952790010807186,
      0.0032389990985198947,
      0.0030853377046459987,
      0.002934250852454042,
      0.0027856954272460718,
      0.002639628958639898,
      0.002496009778423347,
      0.002354796863339401,
      0.002215949928469043,
      0.002079429339019282,
      0.0019451961138917642,
      0.0018132119061037761,
      0.0016834390241435022,
      0.0015558403856156706,
      0.0014303795626588517,
      0.0013070207470358402,
      0.0011857287622224083,
      0.0010664690017161732,
      0.0009492073884101542,
      0.0008339104699781119,
      0.0007205452684670545,
      0.0006090794688283226,
      0.0004994812411545221,
      0.00039171930671730537,
      0.0002857628403839016,
      0.00018158162338467276,
      7.914589889556588e-05,
      -2.157343272392255e-05,
      -0.00012060525914455647,
      -0.00021797791778765653,
      -0.0003137191861739998,
      -0.000407856384821962,
      -0.0005004163697323518,
      -0.0005914255298033674,
      -0.0006809098204781709,
      -0.0007688947383729638,
      -0.0008554055550706473,
      -0.0009404669134873067,
      -0.0010241030331400345,
      -0.0011063378050518652,
      -0.00118719490477798,
      -0.0012666972679965462,
      -0.0013448676515511338,
      -0.0014217283219926133,
      -0.0014973011748079814,
      -0.001571607915752166,
      -0.001644669662633788,
      -0.0017165072635459938,
      -0.0017871412832899548,
      -0.0018565918870945446,
      -0.0019248789196792296,
      -0.00199202182400305,
      -0.0020580398386991013,
      -0.002122951717195803,
      -0.0021867759667749394,
      -0.0022495308767677066,
      -0.002311234297584449,
      -0.0023719039078215153,
      -0.002431557074206191,
      -0.002490210798922155,
      -0.0025478817990173246,
      -0.002604586520824085,
      -0.002660341204843143,
      -0.0027151617140991477,
      -0.0027690637234941734,
      -0.0028220626669417147,
      -0.002874173702578398,
      -0.0029254116004597923,
      -0.0029757910614563133,
      -0.0030253263803991927,
      -0.0030740317314113734,
      -0.0031219209561445262,
      -0.00316900786012155,
      -0.0032153058150311076,
      -0.003260827989539083,
      -0.0033055874963306,
      -0.0033495971128145127,
      -0.0033928694393747134,
      -0.00343541680264033,
      -0.003477251316518913,
      -0.003518384929822405,
      -0.0035588293458931196,
      -0.003598596100299174,
      -0.003637696561725023,
      -0.003676141779492228,
      -0.0037139428193502513,
      -0.003751110539682664,
      -0.003787655653559125,
      -0.0038235884906563647,
      -0.0038589192795238252,
      -0.0038936580289401636,
      -0.003927814751365921,
      -0.003961399190624779,
      -0.003994420936715702,
      -0.004026889476114164,
      -0.00405881392988189,
      -0.004090203458506939,
      -0.004121067062542903,
      -0.004151413509745726,
      -0.00418125150311461,
      -0.004210589524254763,
      -0.004239436044818631,
      -0.004267799356036833,
      -0.004295687486912548,
      -0.004323108356640593,
      -0.004350069837440342,
      -0.004376579607196184,
      -0.004402645167231623,
      -0.004428273966865841,
      -0.004453473432833549,
      -0.004478250743820453,
      -0.00450261289064318,
      -0.004526566824443388,
      -0.004550119484068767,
      -0.004573277511579003,
      -0.00459604743714724
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334310519301752,
      10.09217725315984,
      9.843184590378247,
      9.59020736835944,
      9.335859705207909,
      9.082395532880744,
      8.831691417165374,
      8.585232869606944,
      8.344109852684543,
      8.109041407757202,
      7.8804145225598585,
      7.6583333424405655,
      7.442674000329447,
      7.233140510448661,
      7.029318012051778,
      6.830720811570766,
      6.63683380821253,
      6.447146812240687,
      6.2611819128669435,
      6.07851500081162,
      5.898787899721074,
      5.72170401913054,
      5.547030509545838,
      5.374617901129238,
      5.2043887532849125,
      5.036333726715464,
      4.870542277087362,
      4.707222929522708,
      4.546655335472221,
      4.38914826874587,
      4.235037164891748,
      4.08469590470635,
      3.938508008528365,
      3.7968417287813683,
      3.6600389953507633,
      3.5284038806801172,
      3.402192685523363,
      3.2816079921637997,
      3.166795321662226,
      3.0578327822531937,
      2.954721667029369,
      2.8573903199163087,
      2.765686917705939,
      2.679375647301746,
      2.5981961768281305,
      2.5218874110935676,
      2.45017873493755,
      2.3828021226529534,
      2.319489391292477,
      2.2599501273956997,
      2.203821025714922,
      2.1507349752341147,
      2.1003594848942306,
      2.0523729208896437,
      2.006490642531167,
      1.9624723092777838,
      1.920125614661363,
      1.8792867897279415,
      1.8398208082872844,
      1.8016121454017957,
      1.7645586068651888,
      1.728577806801606,
      1.6936024264937128,
      1.6595759327320458,
      1.6264496468728655,
      1.5941832018198827,
      1.5627450460398264,
      1.5321057106748281,
      1.5022371997971828,
      1.4731125173564177,
      1.4447054279873424,
      1.4169906088444049,
      1.389944127042652,
      1.3635419138958171,
      1.337759650660801,
      1.3125749387271854,
      1.2879669282350226,
      1.2639160561844607,
      1.2404038617583,
      1.2174128513822688,
      1.194926400690941,
      1.1729286757402233,
      1.1514045707226233,
      1.1303405788618457,
      1.109724378185409,
      1.0895442245340572,
      1.0697886900798843,
      1.0504463320530022,
      1.0315058646530022,
      1.0129562596133257,
      0.9947868022210078,
      0.9769871207650804,
      0.9595471969559647,
      0.9424573667013864,
      0.9257083147934494,
      0.9092910647447456,
      0.8931969667172089,
      0.8774176853476076,
      0.861945186359012,
      0.8467717232211524,
      0.8318898246505426,
      0.8172922820507281,
      0.8029721371003058,
      0.7889226710580233,
      0.7751373935316547,
      0.7616100323882345,
      0.7483345240607049,
      0.7353050041587342,
      0.7225157982570182,
      0.709961414408292,
      0.6976365349041959,
      0.6855360086647779,
      0.6736548440569635,
      0.6619882023680076,
      0.6505313917243506,
      0.6392798605297656,
      0.6282291917551516,
      0.6173750977285457,
      0.6067134150742348,
      0.5962400813113028,
      0.5859510928428148,
      0.5758425723730889,
      0.5659107723646702,
      0.5561525471247276,
      0.5465654454355554,
      0.5371467820840897,
      0.5278936526458697,
      0.51880304500854,
      0.5098719089645168,
      0.5010971990370215,
      0.4924759007581948,
      0.48400504639365843,
      0.4756817235787511,
      0.4675030801821144,
      0.45946632658460457,
      0.451568736018534,
      0.4438076445725571,
      0.43618044986733034,
      0.42868472691677867,
      0.421318383452086,
      0.41407928693550905,
      0.40696523515363925,
      0.39997400191769894,
      0.39310336448469274,
      0.38635112029064017,
      0.3797150974457364,
      0.3731931603136779,
      0.3667832127036618,
      0.36048321861171573,
      0.3542913167579301,
      0.3482057028445033,
      0.3422245434801817,
      0.3363460020536185,
      0.33056825388061967,
      0.3248894958387355,
      0.3193079519439974,
      0.31382187624775065,
      0.30842957572387847,
      0.3031294116071378,
      0.29791976362517913,
      0.29279903149148073,
      0.28776563907931896,
      0.28281803691454166,
      0.27795470321996796,
      0.27317414462629414,
      0.2684748959737846,
      0.2638555199969245,
      0.2593146070746565,
      0.2548507749222706,
      0.25046266777034587,
      0.24614880301315606,
      0.2419076256876178,
      0.23773769996337799,
      0.23363768107533922,
      0.22960629037352653,
      0.2256422990730086,
      0.2217445181921006,
      0.21791179148837228,
      0.21414308154810197,
      0.21043772225899474,
      0.20679501313774842,
      0.20321411896431404,
      0.19969412579111204,
      0.19623407638126217,
      0.1928329573591099,
      0.18948966195255654,
      0.18620311475514695,
      0.182972287024781,
      0.17979618613783216,
      0.17667384851004264,
      0.1736043351131734,
      0.17058672861833074,
      0.16762013108053916,
      0.16470366266683648,
      0.16183646059002965,
      0.15901767836053793,
      0.15624648506155944,
      0.15352206493859638,
      0.15084361706076208,
      0.14821035479305664,
      0.145621505714867,
      0.14307631112516364,
      0.1405740257332119,
      0.13811391740536663,
      0.13569526706429583,
      0.1333173682949756,
      0.130979527032181,
      0.1286810614245777,
      0.1264213015249337,
      0.12419958921365809,
      0.12201527792269388,
      0.11986773227444876,
      0.11775632802838358,
      0.11568045182746654,
      0.11363950090869027,
      0.11163288304435887,
      0.1096600163391281,
      0.10772032892673061,
      0.10581325870551915,
      0.10393825343658616,
      0.10209477037197894,
      0.10028227611774479,
      0.09850024658533367,
      0.09674816670717795,
      0.0950255301443168,
      0.09333183933548889,
      0.09166660532771485,
      0.09002934743914413,
      0.08841959338957246,
      0.08683687879802002,
      0.08528074734728038,
      0.08375075053437796,
      0.08224644749266405,
      0.08076740490487429,
      0.07931319683081088,
      0.07788340458390886,
      0.07647761675122394,
      0.07509542881909938,
      0.07373644324054325,
      0.07240026923198102,
      0.0710865225110301,
      0.0697948254971834,
      0.06852480689397626,
      0.06727610173330804,
      0.06604835127036393,
      0.06484120304191679,
      0.06365431038099909,
      0.06248733253843934,
      0.061339934412190544,
      0.060211786708493094,
      0.05910256569736408,
      0.05801195320569848,
      0.05693963633801589,
      0.05588530751923509,
      0.05484866435653472,
      0.053829409603656786,
      0.05282725109003779,
      0.051841901481266606,
      0.050873078417475355,
      0.049920504262724395,
      0.04898390596798795,
      0.04806301525053689,
      0.04715756826926773,
      0.04626730562219453,
      0.04539197231006484,
      0.0445313176051381,
      0.043685095063615335,
      0.04285306235060582,
      0.0420349812715396,
      0.041230617517175265,
      0.040439740738379616,
      0.03966212458178977,
      0.03889754657565711,
      0.038145787899591665,
      0.03740663339151957,
      0.03667987153636688,
      0.03596529436083551,
      0.03526269733526216,
      0.03457187940962249,
      0.033892643018442366,
      0.033224793831693814,
      0.0325681406646679,
      0.03192249580702386,
      0.03128767464638176,
      0.030663495590059243,
      0.030049780138615263,
      0.029446352678417637,
      0.02885304071814419,
      0.02826967455196075,
      0.02769608728350249,
      0.027132114898805685,
      0.026577596172095777,
      0.026032372646351595,
      0.02549628835716531,
      0.02496919003071417,
      0.024450927031369304,
      0.023941351179560144,
      0.02344031669364245,
      0.02294768052928959,
      0.02246330179407694,
      0.021987042010429766,
      0.021518765006061952,
      0.021058336991757628,
      0.020605626279300085,
      0.020160503440041142,
      0.019722841370631773,
      0.019292514992475317,
      0.018869401296111837,
      0.018453379311273447,
      0.018044330122619173,
      0.01764213687470508,
      0.01724668464486843,
      0.016857860425574432,
      0.016475553088686177,
      0.016099653388894512,
      0.0157300538090729,
      0.01536664887691202,
      0.015009334802274269,
      0.014658009445794219,
      0.014312572249131858,
      0.01397292459152677,
      0.013638969339410811,
      0.01331061122898705,
      0.012987756429094399,
      0.01267031263765603,
      0.012358189133181383,
      0.012051296711697494,
      0.011749547756695846,
      0.01145285605448078,
      0.011161136858584721,
      0.010874306777452217,
      0.010592283873624436,
      0.010314987514833372,
      0.010042338541324284,
      0.009774259006019602,
      0.00951067232048532,
      0.009251503247085478,
      0.00899667776935885,
      0.00874612306214674,
      0.008499767486009918,
      0.008257540604944078,
      0.008019373291836796,
      0.007785197578108893,
      0.007554946463206163,
      0.007328554154311991,
      0.007105956030895844,
      0.006887088499165005,
      0.006671889022474936,
      0.006460296244885374,
      0.006252249686727057,
      0.006047689793519511,
      0.0058465581221265545,
      0.005648797232265356,
      0.005454350664523586,
      0.005263162846081644,
      0.005075179127098147,
      0.0048903458652039935,
      0.004708610246651716,
      0.004529920378137511,
      0.004354225210308905,
      0.004181474547202279,
      0.004011619014800718,
      0.003844610140644335,
      0.003680400138069157,
      0.003518942170535869,
      0.0033601901421368933,
      0.00320409869479164,
      0.0030506231510338618,
      0.0028997196633016387,
      0.002751345175125986,
      0.0026054572839805776,
      0.0024620142910693203,
      0.0023209752414417475,
      0.0021822998902354214,
      0.0020459486274115543,
      0.0019118825831978023,
      0.0017800634117036344,
      0.001650453452224801,
      0.0015230156131775443,
      0.0013977134746460576,
      0.0012745112788290925,
      0.0011533738088787512,
      0.0010342664287242111,
      0.0009171551378961485,
      0.0008020066035741732,
      0.0006887878768073104,
      0.000577466657951998,
      0.00046801105498136305,
      0.00036038983372883133,
      0.00025457220629235126,
      0.00015052793921232566,
      4.82273363379508e-05,
      -5.235880128995259e-05,
      -0.0001512591946646704,
      -0.00024850212321212496,
      -0.0003441152941009392,
      -0.0004381261292248634,
      -0.0005305614527954358,
      -0.0006214476923032481,
      -0.0007108107403976954,
      -0.0007986761138641497,
      -0.0008850688565943724,
      -0.0009700137014780739,
      -0.0010535350276732805,
      -0.001135656644411059,
      -0.0012164020055238142,
      -0.0012957940977262156,
      -0.001373855639434612,
      -0.0014506090360434474,
      -0.0015260761562619915,
      -0.0016002785323814327,
      -0.0016732372731815557,
      -0.0017449732231783462,
      -0.0018155069744273038,
      -0.0018848586227214795,
      -0.0019530480441236199,
      -0.0020200946991703952,
      -0.0020860177411104307,
      -0.0021508360213149213,
      -0.002214567921203387,
      -0.0022772318064465174,
      -0.002338845520003837,
      -0.002399426604890369,
      -0.0024589923603623933,
      -0.0025175598207297853,
      -0.002575145803176823,
      -0.0026317666620647388,
      -0.002687438607676175,
      -0.0027421775916040064,
      -0.0027959992167871234,
      -0.0028489187860310933,
      -0.0029009515020799906,
      -0.002952112177339136,
      -0.00300241552111487,
      -0.003051875809265943,
      -0.0031005071503635525,
      -0.0031483234071729036,
      -0.0031953383340435136,
      -0.003241565401857587,
      -0.0032870176726639837,
      -0.0033317082136386077,
      -0.0033756498557945577,
      -0.0034188550663332737,
      -0.00346133611181751,
      -0.0035031052593109723,
      -0.0035441744109223627,
      -0.0035845553412517505,
      -0.0036242595020935043,
      -0.003663298207241959,
      -0.00370168261336716,
      -0.0037394237509702287,
      -0.0037765323387291996,
      -0.003813018991089228,
      -0.0038488942152627463,
      -0.0038841682744982786,
      -0.003918851107337543,
      -0.003952952767557536,
      -0.003986482941914447,
      -0.004019451204520825,
      -0.004051866857232439,
      -0.004083739252481839,
      -0.00411507747987646,
      -0.00414589056121103,
      -0.004176187218585918,
      -0.004205976163092625,
      -0.004235265982721338,
      -0.0042640648643674775,
      -0.004292381096792527,
      -0.004320222804069539,
      -0.004347597824878789,
      -0.004374514010430633,
      -0.004400979038953463,
      -0.004427000547722803,
      -0.004452585972049349,
      -0.004477742612938476,
      -0.004502477697263482,
      -0.004526798272670982,
      -0.004550711248016995,
      -0.004574223426708907,
      -0.004597341527140562,
      -0.004620072183697168
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334306357422022,
      10.09216394390621,
      9.84315722867691,
      9.590161161908386,
      9.33579093823017,
      9.08230166574497,
      8.831570916238014,
      8.585084910099225,
      8.343934098532303,
      8.108837846026564,
      7.880183334274424,
      7.658074803863377,
      7.442388417515715,
      7.2328281831471255,
      7.028979219992537,
      6.830355821715105,
      6.636442898285315,
      6.44673030309101,
      6.260740207471204,
      6.078048675519803,
      5.898297754304166,
      5.721191105476553,
      5.54649609324995,
      5.374063486440258,
      5.20381592727547,
      5.0357443354359015,
      4.869938969718068,
      4.706609051576765,
      4.5460342922092325,
      4.3885234406946765,
      4.234412073640158,
      4.084074267350089,
      3.9378933909731244,
      3.796237479943186,
      3.6594481866837487,
      3.527829267818365,
      3.401636669216855,
      3.2810725911731975,
      3.166282158105086,
      3.057342935670857,
      2.954255693078301,
      2.856948177230042,
      2.7652678332887213,
      2.6789784320441434,
      2.5978195021442434,
      2.521529740650696,
      2.449838439406772,
      2.3824775439671764,
      2.319178832299413,
      2.259651704034365,
      2.2035323969653864,
      2.150454099006188,
      2.1000843325638243,
      2.0521016861388977,
      2.0062218830410856,
      1.9622049574166447,
      1.9198588789779534,
      1.8790200802953132,
      1.8395537048976416,
      1.801344240762679,
      1.7642895810528911,
      1.7283074512150134,
      1.693330609317135,
      1.6593025746594174,
      1.626174704809039,
      1.5939070041648098,
      1.5624680201562333,
      1.5318281503527973,
      1.5019593166792717,
      1.472834453948481,
      1.444427281805746,
      1.4167124483451232,
      1.389666015034149,
      1.3632639157506556,
      1.3374818186779007,
      1.3122973116433159,
      1.2876895363147305,
      1.2636389243604607,
      1.2401270117377357,
      1.2171363040418388,
      1.1946501752011023,
      1.1726527909618185,
      1.1511290456722385,
      1.1300654490853526,
      1.1094496851286564,
      1.0892700113807943,
      1.0695149911157769,
      1.0501731756901935,
      1.0312332756673288,
      1.0126842604442043,
      0.9945154138454422,
      0.9767163624329438,
      0.9592770876876668,
      0.9421879253449014,
      0.9254395599637576,
      0.9090230146457174,
      0.8929296397620543,
      0.8771510999000572,
      0.8616793604603987,
      0.8465066747096164,
      0.8316255712151633,
      0.8170288409156237,
      0.8027095255090405,
      0.7886609060582274,
      0.7748764922802656,
      0.7613500118606881,
      0.7480754008239586,
      0.7350467942330822,
      0.7222585179066875,
      0.7097050795223891,
      0.697381160874608,
      0.6852816106088206,
      0.6734014368255058,
      0.6617358006192323,
      0.6502800096312014,
      0.639029512036021,
      0.6279798906694263,
      0.617126857350991,
      0.6064662481184858,
      0.5959940001471545,
      0.5857061096276917,
      0.5755986986913484,
      0.5656680196720045,
      0.5559110053401015,
      0.5463252062293941,
      0.5369079049880401,
      0.5276561765250639,
      0.5185669954652423,
      0.5096373031738283,
      0.5008640485380323,
      0.4922442138637642,
      0.483774829081481,
      0.4754529802165084,
      0.46727581403651774,
      0.4592405400921825,
      0.45134443122604045,
      0.44358482295928403,
      0.4359591125167861,
      0.42846489673949695,
      0.42110008369289,
      0.41386253131219974,
      0.4067500317430716,
      0.399760354727021,
      0.3928912748513554,
      0.38614058811622437,
      0.3795061213004941,
      0.3729857381689536,
      0.3665773420471227,
      0.36027890118576394,
      0.35408856021243545,
      0.3480045102645306,
      0.34202491498353693,
      0.3361479356728216,
      0.3303717463198972,
      0.3246945430449582,
      0.3191145491758221,
      0.31363001841902144,
      0.30823925928259255,
      0.30294063271505467,
      0.2977325173779082,
      0.2926133123148606,
      0.2875814411332995,
      0.28263535388345196,
      0.2777735286711814,
      0.2729944717050247,
      0.2682967176792111,
      0.26367882923971636,
      0.25913939669407254,
      0.25467703757391774,
      0.2502903962058763,
      0.24597799575255846,
      0.24173828142704626,
      0.23756981489767903,
      0.23347124989731885,
      0.2294413067951764,
      0.22547875626574054,
      0.2215824088545084,
      0.21775110782191492,
      0.21398381119889534,
      0.21027984667794422,
      0.2066385176003413,
      0.20305899107458414,
      0.19954035450361907,
      0.19608165140886208,
      0.1926818653897689,
      0.1893398899906091,
      0.18605465138787833,
      0.18282512183798924,
      0.17965030932503298,
      0.17652925069922337,
      0.1734610074177076,
      0.17044466214784176,
      0.16747931703018595,
      0.16456409225335553,
      0.1616981250701212,
      0.1588805689023211,
      0.15611059281899767,
      0.1533873811182915,
      0.15071013284287854,
      0.14807806136586,
      0.1454903941684568,
      0.1429463724722014,
      0.1404452509919305,
      0.1379862976254736,
      0.13556879332666902,
      0.13319203159041368,
      0.13085531837490544,
      0.1285579717743709,
      0.12629932195047935,
      0.12407871089709398,
      0.12189549190978795,
      0.11974902974557497,
      0.11763870006071621,
      0.11556388936024728,
      0.11352399491087395,
      0.11151842459983663,
      0.1095465964520139,
      0.10760793856768454,
      0.10570188904244952,
      0.10382789567151601,
      0.10198541561572785,
      0.10017391560798625,
      0.09839287161200008,
      0.09664176841706777,
      0.09492009979669826,
      0.09322736822709927,
      0.09156308460327824,
      0.08992676842277512,
      0.08831794736312261,
      0.08673615717719432,
      0.08518094148219676,
      0.08365185181537947,
      0.08214844731956408,
      0.08067029478930184,
      0.07921696834344225,
      0.07778804940017317,
      0.07638312642685195,
      0.07500179493124774,
      0.07364365739818196,
      0.07230832312444475,
      0.07099540797614863,
      0.06970453430658938,
      0.06843533097403381,
      0.06718743307464337,
      0.06596048193955452,
      0.06475412492613407,
      0.06356801546616897,
      0.06240181286334285,
      0.061255182162842856,
      0.06012779407712804,
      0.05901932490738396,
      0.05792945662243457,
      0.056857876341235646,
      0.05580427646155711,
      0.05476835470640491,
      0.053749813938944645,
      0.05274836198723927,
      0.051763711563731135,
      0.05079558021262716,
      0.049843690358309656,
      0.048907769060190356,
      0.04798754813180958,
      0.04708276379755012,
      0.04619315672877107,
      0.04531847190879165,
      0.044458458660825255,
      0.04361287056499173,
      0.04278146536602652,
      0.0419640049445686,
      0.04116025513249924,
      0.04036998565145149,
      0.03959297017433687,
      0.03882898626172027,
      0.03807781506865896,
      0.03733924140830461,
      0.036613053944149626,
      0.03589904473566304,
      0.03519700933749837,
      0.034506746727466564,
      0.03382805939445602,
      0.0331607531022502,
      0.03250463687604755,
      0.03185952288691857,
      0.031225226431309507,
      0.03060156606866791,
      0.029988363421793326,
      0.029385442995775914,
      0.028792632179215454,
      0.028209761365053165,
      0.027636663713951452,
      0.027073175374077073,
      0.026519135158211936,
      0.02597438456277085,
      0.025438767701459242,
      0.02491213131901005,
      0.024394324846828182,
      0.02388520010042821,
      0.023384611501172065,
      0.022892415926452133,
      0.022408472645805002,
      0.021932643136042408,
      0.02146479126558554,
      0.021004783321453346,
      0.020552487773575535,
      0.020107775256138976,
      0.01967051864596354,
      0.01924059280667908,
      0.018817874817282372,
      0.018402243783283753,
      0.017993580935723938,
      0.017591769318375944,
      0.01719669404221743,
      0.016808242229486285,
      0.016426302775035036,
      0.01605076642600426,
      0.015681525920022664,
      0.015318475590177337,
      0.014961511695124854,
      0.014610532247718815,
      0.014265436825244305,
      0.013926126748204051,
      0.013592505011485978,
      0.013264476222158879,
      0.012941946645195553,
      0.012624824039373733,
      0.012313017734868472,
      0.012006438639920954,
      0.011704999075998984,
      0.011408612942984262,
      0.011117195424334517,
      0.010830663248234168,
      0.010548934533068483,
      0.010271928808696852,
      0.00999956689797097,
      0.009731770867172113,
      0.0094684641654627,
      0.009209571496282393,
      0.008955018820915192,
      0.008704733443443823,
      0.008458643909883134,
      0.008216679829638108,
      0.0079787719746825,
      0.007744852389615536,
      0.0075148541568140085,
      0.007288711598149936,
      0.007066360061892332,
      0.006847735923351034,
      0.0066327767806369205,
      0.006421421184230268,
      0.006213608631207571,
      0.006009279722283485,
      0.00580837615138851,
      0.005610840412864351,
      0.00541661612325599,
      0.005225647761745016,
      0.005037880744702559,
      0.004853261358002651,
      0.004671736813206102,
      0.004493255314087412,
      0.004317765757599825,
      0.004145218093424991,
      0.003975563012891617,
      0.003808751901600187,
      0.0036447371450432017,
      0.003483471801518007,
      0.003324909799781282,
      0.0031690058725543017,
      0.0030157155445437868,
      0.002864994989319073,
      0.0027168010161210125,
      0.00257109129503914,
      0.00242782412707325,
      0.0022869585604273998,
      0.002148454369750577,
      0.0020122719936684474,
      0.0018783725319968744,
      0.001746717720299241,
      0.0016172698624497494,
      0.001489991981702632,
      0.0013648477771044225,
      0.0012418015257264993,
      0.0011208179549624913,
      0.0010018625431221112,
      0.0008849012502222243,
      0.000769900670783903,
      0.0006568278960766725,
      0.0005456505822679944,
      0.0004363370843717711,
      0.00032885601368863354,
      0.00022317666823098032,
      0.00011926884203934333,
      1.7102827546399815e-05,
      -8.335046558337815e-05,
      -0.00018211970751777295,
      -0.00027923324163260237,
      -0.00037471890319574114,
      -0.0004686039188294332,
      -0.0005609150322264409,
      -0.0006516785776074279,
      -0.0007409206656731702,
      -0.0008286667962379665,
      -0.0009149420348801961,
      -0.0009997710093595641,
      -0.0010831779428665856,
      -0.001165186729922687,
      -0.0012458207375747206,
      -0.0013251030625906891,
      -0.001403056316703455,
      -0.00147970275367078,
      -0.0015550643121099975,
      -0.0016291625297895382,
      -0.0017020185646070094,
      -0.0017736533092960031,
      -0.0018440872383607954,
      -0.0019133404629344598,
      -0.001981432663384885,
      -0.00204838345932371,
      -0.0021142119456774976,
      -0.0021789369586715968,
      -0.002242576959024898,
      -0.0023051500596076016,
      -0.002366674224472574,
      -0.0024271669760675095,
      -0.0024866456103254104,
      -0.002545127233003618,
      -0.0026026285914275775,
      -0.002659166006742286,
      -0.002714755584114623,
      -0.0027694133207202785,
      -0.002823154850369906,
      -0.002875995390367575,
      -0.002927950106756452,
      -0.0029790339001040046,
      -0.0030292613050378237,
      -0.003078646617415979,
      -0.0031272041602346556,
      -0.00317494778012268,
      -0.003221891047999227,
      -0.0032680473441728153,
      -0.0033134298917755524,
      -0.0033580517323931725,
      -0.003401925567264145,
      -0.0034450639598594883,
      -0.0034874791626163535,
      -0.0035291832857756054,
      -0.0035701882877501078,
      -0.003610505977631461,
      -0.0036501478706246373,
      -0.0036891252841013615,
      -0.003727449286717471,
      -0.0037651307545143583,
      -0.0038021805791017614,
      -0.0038386093095204546,
      -0.0038744273527858385,
      -0.003909644874862473,
      -0.003944272024943817,
      -0.003978318752629874,
      -0.0040117946880246155,
      -0.0040447093195467914,
      -0.004077072196484775,
      -0.004108892635665568,
      -0.0041401797327824345,
      -0.004170942391484738,
      -0.004201189333093954,
      -0.004230929219880588,
      -0.004260170599886212,
      -0.004288921775157164,
      -0.004317190948915099,
      -0.004344986162262919,
      -0.004372315452934432,
      -0.004399186600724001,
      -0.004425607297942703,
      -0.0044515851158725365,
      -0.0044771274837920386,
      -0.004502241667225931,
      -0.004526934713544525,
      -0.004551213823496672,
      -0.004575085965696004,
      -0.004598558005899957,
      -0.004621636568552443,
      -0.004644328349051367
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33430215332414,
      10.092150524768117,
      9.843129711074026,
      9.590114772199996,
      9.33572197808564,
      9.08220760885358,
      8.83145024496754,
      8.584936811216618,
      8.34375824306449,
      8.108634228929912,
      7.87995214186738,
      7.657816315157969,
      7.442102940162418,
      7.232516016495098,
      7.028640644267344,
      6.829991106107952,
      6.636052322750128,
      6.446314189145527,
      6.260298957524785,
      6.077582866350392,
      5.897808186055325,
      5.720678828767852,
      5.54596237353595,
      5.373509824734366,
      5.203243908064543,
      5.0351558029110315,
      4.86933657113784,
      4.705996128919047,
      4.545414246890365,
      4.387899650416762,
      4.233788056784218,
      4.083453736870121,
      3.937279907073656,
      3.7956343849145058,
      3.6588585475359228,
      3.5272558360690214,
      3.4010818403941996,
      3.2805383776183583,
      3.1657701761644623,
      3.056854259267905,
      2.9537908371412698,
      2.8565071010060987,
      2.764849767334642,
      2.6785821929965636,
      2.5974437660047394,
      2.52117297380238,
      2.4494990153197214,
      2.3821538375399745,
      2.318869144050918,
      2.259354148307096,
      2.2032446317617476,
      2.150174080547301,
      2.0998100327807334,
      2.051831299451354,
      2.005953966809079,
      1.9619384453566047,
      1.9195929796485498,
      1.8787542046993269,
      1.8392874345442047,
      1.8010771683919153,
      1.764021387857388,
      1.7280379289080188,
      1.6930596261012598,
      1.6590300513553669,
      1.6259005985036925,
      1.5936316844362397,
      1.5621918992908321,
      1.5315515121555607,
      1.5016823664274013,
      1.472557330130928,
      1.4441500794552866,
      1.416435233642547,
      1.3893888502445315,
      1.3629868652450947,
      1.3372049344626842,
      1.3120206324616954,
      1.2874130923783662,
      1.2633627409451704,
      1.2398511109317245,
      1.216860705612747,
      1.194374898667065,
      1.172377855612673,
      1.1508544705756891,
      1.1297912692542722,
      1.1091759428739836,
      1.0889967501131088,
      1.0692422447075594,
      1.0499009720071555,
      1.030961638955322,
      1.0124132129820116,
      0.9942449764090036,
      0.9764465551996004,
      0.9590079295455483,
      0.9419194351182396,
      0.9251717560959817,
      0.9087559155794034,
      0.8926632635911597,
      0.876885464821311,
      0.8614144844475063,
      0.8462425758853364,
      0.8313622672429293,
      0.8167663495986286,
      0.8024478643584417,
      0.788400092204167,
      0.7746165423954128,
      0.7610909422735743,
      0.7478172278738421,
      0.734789534384222,
      0.7220021871908048,
      0.7094496935029977,
      0.6971267349558299,
      0.6850281599768068,
      0.6731489765064277,
      0.6614843452724672,
      0.6500295733322481,
      0.6387801086591667,
      0.6277315337765278,
      0.6168795604274229,
      0.6062200243166034,
      0.5957488615370152,
      0.5854620679375033,
      0.5753557655299371,
      0.5654262064381861,
      0.5556704019150741,
      0.5460859042136099,
      0.5366699633776875,
      0.5274196338426564,
      0.5183318771622223,
      0.5094036262612399,
      0.500631824910653,
      0.49201345171811056,
      0.48354553423899976,
      0.47522515720284647,
      0.46704946628589405,
      0.4590156701669153,
      0.45112104110394236,
      0.443362914237422,
      0.43573868632816276,
      0.42824597612860316,
      0.4208826917917684,
      0.4136466818096856,
      0.40653573236260954,
      0.3995476094831006,
      0.39268008524585396,
      0.3859309537361942,
      0.3792980407356309,
      0.37277920938709636,
      0.36637236256039524,
      0.3600754726610652,
      0.35388669045456356,
      0.34780420213319385,
      0.34182616858805337,
      0.3359507490371755,
      0.3301761161904324,
      0.3245004652575681,
      0.31892201895320266,
      0.3134390305613055,
      0.3080498100582004,
      0.3027527183066027,
      0.29754613287289056,
      0.2924284523815347,
      0.28739809973832264,
      0.28245352479407526,
      0.27759320529204845,
      0.2728156473573281,
      0.26811938544474545,
      0.2635029820312701,
      0.25896502739945576,
      0.2545041389819283,
      0.2501189608157865,
      0.2458080218902239,
      0.24156976771563624,
      0.2374027577195058,
      0.2333056441519755,
      0.22927714624358367,
      0.2253160340592346,
      0.2214211176787692,
      0.21759124017770584,
      0.21382535491254753,
      0.21012278317268354,
      0.20648283204344503,
      0.20290467090599612,
      0.1993873886861775,
      0.19593002989973413,
      0.19253157487441555,
      0.189190917364083,
      0.18590698524976962,
      0.18267875179339862,
      0.17950522572103245,
      0.17638544429979108,
      0.1733184691490829,
      0.1703033831497946,
      0.16733928850974247,
      0.16442530547171408,
      0.16156057122128817,
      0.1587442392388577,
      0.15597547847163207,
      0.15325347322711194,
      0.15057742258533946,
      0.14794653994033938,
      0.1453600527138002,
      0.14281720203749593,
      0.1403172426389921,
      0.137859442409718,
      0.13544308239907762,
      0.1330674560699588,
      0.13073186931608294,
      0.12843564030588492,
      0.12617809915315317,
      0.12395858775734793,
      0.12177645945064888,
      0.11963107891571703,
      0.11752182192210278,
      0.11544807504021959,
      0.11340923550388213,
      0.11140471120814541,
      0.10943392012459335,
      0.10749629037905015,
      0.10559126010705963,
      0.10371827703760556,
      0.10187679846408994,
      0.10006629111352047,
      0.0982862308882251,
      0.09653610262536055,
      0.09481540007755994,
      0.09312362575171473,
      0.09146029079063536,
      0.08982491459161461,
      0.0882170247967,
      0.08663615722563577,
      0.08508185567816338,
      0.0835536715956089,
      0.08205116417225716,
      0.08057390021068753,
      0.07912145389922844,
      0.07769340666316189,
      0.07628934708303703,
      0.07490887069522305,
      0.07355157996058863,
      0.07221708418198651,
      0.07090499932173325,
      0.06961494774181126,
      0.06834655830751389,
      0.06709946613598507,
      0.06587331263504653,
      0.06466774531333748,
      0.06348241764819097,
      0.062316988936749675,
      0.0611711242867215,
      0.06004449442144966,
      0.05893677574757774,
      0.05784765011305494,
      0.056776804810825594,
      0.05572393241228117,
      0.05468873052482416,
      0.05367090201351078,
      0.052670154886094736,
      0.05168620184420083,
      0.050718760529868644,
      0.049767553500817706,
      0.04883230787773085,
      0.047912755365100944,
      0.04700863227311834,
      0.04611967929647805,
      0.04524564156415093,
      0.04438626845426579,
      0.043541313553056765,
      0.042710534642011015,
      0.041893693685225775,
      0.04109055648892444,
      0.04030089301226702,
      0.03952447684748589,
      0.03876108554425818,
      0.03801050041801283,
      0.03727250644868205,
      0.03654689220041224,
      0.035833449881886,
      0.03513197500050922,
      0.0344422667551183,
      0.03376412755805817,
      0.03309736316164605,
      0.03244178263804912,
      0.03179719825130009,
      0.031163425456248475,
      0.03054028278857744,
      0.029927591824296194,
      0.02932517711903233,
      0.028732866222423784,
      0.02815048960870383,
      0.02757788058036361,
      0.027014875201957583,
      0.026461312384395343,
      0.025917033579628664,
      0.025381882981323423,
      0.024855707456237705,
      0.024338356409614955,
      0.023829681825929764,
      0.023329538090505243,
      0.022837782132103718,
      0.022354273194010836,
      0.021878872916065308,
      0.02141144525256475,
      0.02095185645499537,
      0.020499975052694592,
      0.02005567168765676,
      0.01961881928249124,
      0.019189292822525978,
      0.018766969445216924,
      0.018351728270364437,
      0.01794345059475736,
      0.01754201968134171,
      0.01714732060100783,
      0.01675924036749234,
      0.016377668022519,
      0.01600249430920868,
      0.015633611892714783,
      0.015270915244814585,
      0.01491430077107806,
      0.014563666360146006,
      0.01421891179143671,
      0.01387993846314843,
      0.013546649355360737,
      0.013218949152319345,
      0.012896744123164789,
      0.012579942015173975,
      0.012268452296409327,
      0.011962185876820465,
      0.01166105505157801,
      0.011364973844264367,
      0.011073857516709251,
      0.010787622771260821,
      0.010506187780176498,
      0.010229472080794466,
      0.00995739654653245,
      0.009689883260558332,
      0.009426855681062567,
      0.009168238614463664,
      0.008913958117727931,
      0.008663941526165878,
      0.00841811734021905,
      0.008176415167455651,
      0.007938765891797832,
      0.007705101593017766,
      0.007475355414062185,
      0.00724946170554725,
      0.007027355863634936,
      0.006808974318393923,
      0.0065942545768200795,
      0.006383135321235177,
      0.006175556206696493,
      0.005971457827794549,
      0.005770781816293467,
      0.005573470802866898,
      0.005379468319254686,
      0.005188718977352521,
      0.0050011681499523035,
      0.004816762201945239,
      0.00463544836214917,
      0.004457174732574296,
      0.004281890390151374,
      0.0041095452249776945,
      0.003940089953519218,
      0.003773476147818799,
      0.0036096562173116168,
      0.003448583304492985,
      0.0032902113238053956,
      0.003134494888551662,
      0.0029813894318025886,
      0.002830851210131105,
      0.002682837195181202,
      0.0025373050382300013,
      0.0023942131776581023,
      0.002253520643799689,
      0.002115187228943404,
      0.001979173450507949,
      0.0018454404022348512,
      0.0017139498369795594,
      0.0015846640801336215,
      0.0014575461550744742,
      0.0013325597909274562,
      0.0012096691910773434,
      0.0010888391151593721,
      0.0009700351288732443,
      0.0008532232205263456,
      0.0007383699667635794,
      0.0006254425220641995,
      0.0005144086424805336,
      0.00040523653989093877,
      0.0002978950563446088,
      0.0001923535607188265,
      8.858176491479623e-05,
      -1.3450057884876893e-05,
      -0.00011377095477877213,
      -0.00021240960411579227,
      -0.0003093942371898434,
      -0.0004047527176666613,
      -0.0004985122625871564,
      -0.0005906995874336355,
      -0.0006813410874701396,
      -0.0007704627059971254,
      -0.0008580897879504636,
      -0.0009442475039740704,
      -0.0010289605674427805,
      -0.0011122532363067456,
      -0.0011941492935983304,
      -0.0012746721153987922,
      -0.0013538447372764054,
      -0.0014316898618929915,
      -0.0015082296555580022,
      -0.0015834859816691762,
      -0.0016574804673298712,
      -0.0017302342320534344,
      -0.001801768097986403,
      -0.001872102410758261,
      -0.0019412574184323966,
      -0.002009252873659811,
      -0.0020761082324915227,
      -0.002141842514179746,
      -0.002206474585917244,
      -0.002270022944106048,
      -0.002332505634285458,
      -0.0023939405892362954,
      -0.0024543453561701955,
      -0.0025137372608650243,
      -0.0025721332658574666,
      -0.0026295501257449032,
      -0.0026860042497434326,
      -0.0027415117213658775,
      -0.002796088482653112,
      -0.0028497500975054975,
      -0.0029025119403323103,
      -0.0029543890397338455,
      -0.003005396252392354,
      -0.003055548136796145,
      -0.0031048591375472004,
      -0.0031533433494158386,
      -0.0032010146428761784,
      -0.003247886527495106,
      -0.0032939723895885737,
      -0.0033392854429131467,
      -0.003383838634235734,
      -0.003427644738769106,
      -0.0034707163085354407,
      -0.0035130657089361425,
      -0.003554704982661507,
      -0.003595646107088992,
      -0.0036359007168432654,
      -0.0036754802638881956,
      -0.003714396132544762,
      -0.003752659588713149,
      -0.0037902814869576413,
      -0.003827272504071867,
      -0.0038636432509352742,
      -0.0038994040786522123,
      -0.003934565303816417,
      -0.003969137007189061,
      -0.004003129009740799,
      -0.0040365510321361976,
      -0.0040694126627984625,
      -0.004101723261953745,
      -0.004133492081259887,
      -0.00416472815352404,
      -0.004195440538458584,
      -0.004225637906232299,
      -0.004255328940754919,
      -0.004284522080885996,
      -0.004313225770107007,
      -0.004341448088736731,
      -0.004369197135662545,
      -0.0043964808246708805,
      -0.004423307074550739,
      -0.004449683566657691,
      -0.004475617673367545,
      -0.0045011169004778315,
      -0.004526188547516996,
      -0.004550839832101874,
      -0.004575077733629862,
      -0.0045989091163214655,
      -0.0046223408957954066,
      -0.004645379894636337,
      -0.004668032449257449
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334297817489205,
      10.092136754741935,
      9.843101674410887,
      9.590067744967634,
      9.335652304707011,
      9.08211280028575,
      8.831328811014494,
      8.58478796157235,
      8.343581668779121,
      8.108429938409268,
      7.879720330589679,
      7.657557270644737,
      7.441816975549096,
      7.232203435198115,
      7.028301729997976,
      6.8296261299689505,
      6.635661564272219,
      6.445897970653398,
      6.259857682496392,
      6.077117111381727,
      5.8973187499422055,
      5.7201667603654585,
      5.545428936989978,
      5.372956522777163,
      5.202672327090708,
      5.034567788228538,
      4.868734768568254,
      4.70538387873925,
      4.544794948501739,
      4.387276678847954,
      4.23316492777774,
      4.082834158445814,
      3.936667433778138,
      3.7950323536549524,
      3.658270018608962,
      3.526683552800442,
      3.400528191171192,
      3.2800053686944004,
      3.1652594176396938,
      3.0563668182659094,
      2.9533272184032575,
      2.856067260130652,
      2.7644329307300564,
      2.678187173075089,
      2.5970692358946605,
      2.520817399469371,
      2.4491607700797156,
      2.381831315826524,
      2.318560641818687,
      2.259057776649299,
      2.2029580672137787,
      2.1498952745940887,
      2.099536953475011,
      2.0515621378940323,
      2.005687278861579,
      1.9616731626017263,
      1.9193283089051687,
      1.878489556258015,
      1.8390223891320947,
      1.8008113185799515,
      1.7637544143362165,
      1.727769623416529,
      1.6927898570853408,
      1.658758739990264,
      1.6256277021851067,
      1.593357573001175,
      1.5619169849771273,
      1.5312760788668434,
      1.5014066196833922,
      1.4722814089052363,
      1.4438740782833939,
      1.416159219307782,
      1.3891128848287873,
      1.3627110133169968,
      1.3369292482473472,
      1.3117451506340638,
      1.2871378455035656,
      1.2630877541047845,
      1.2395764063333155,
      1.2165863039626261,
      1.1941008194591267,
      1.1721041177064626,
      1.1505810927072129,
      1.1295182867094702,
      1.1089033976685891,
      1.0887246855543533,
      1.0689706947034847,
      1.0496299648999674,
      1.0306911996519972,
      1.0121433634365489,
      0.9939757368976896,
      0.9761779455773818,
      0.9587399696725226,
      0.9416521439474149,
      0.9249051521184177,
      0.9084900170490383,
      0.8923980887859243,
      0.8766210317294661,
      0.8611508109990592,
      0.8459796798132432,
      0.8311001662356722,
      0.81650506118492,
      0.8021874060836001,
      0.7881404817179307,
      0.7743577969424983,
      0.7608330787816028,
      0.7475602627998487,
      0.7345334837773594,
      0.7217470669458244,
      0.7091955195525634,
      0.6968735227132591,
      0.6847759244547754,
      0.6728977324752285,
      0.6612341072041704,
      0.64978035566512,
      0.6385319253908068,
      0.6274843985817504,
      0.6166334864861593,
      0.6059750244629115,
      0.5955049478381532,
      0.5852192520774616,
      0.5751140591579921,
      0.5651856210770952,
      0.5554310271957152,
      0.5458478315167576,
      0.5364332518145454,
      0.5271843218255845,
      0.5180979900348958,
      0.5091711810298442,
      0.5004008332875227,
      0.4917839219454858,
      0.4833174721824078,
      0.4749985669467536,
      0.46682435094587027,
      0.4587920322605857,
      0.4508988825069833,
      0.4431422363857766,
      0.4355194903883003,
      0.42802828481241134,
      0.4206665280657672,
      0.4134320595154235,
      0.4063226592107479,
      0.39933608933545994,
      0.39247011959012135,
      0.3857225424864772,
      0.3790911826929498,
      0.3725739023608447,
      0.36616860376190374,
      0.35987326389841484,
      0.3536860392881458,
      0.34760511156827295,
      0.3416286385052664,
      0.3357547774551224,
      0.32998169998351656,
      0.3243076004470177,
      0.3187307008648255,
      0.31324925393968245,
      0.30786157119865204,
      0.3025660132973032,
      0.2973609568905888,
      0.2922447996420918,
      0.28721596431954327,
      0.2822729005008995,
      0.2774140856340228,
      0.2726380255730627,
      0.2679432546254512,
      0.263328335203577,
      0.2587918573389373,
      0.2543324382528432,
      0.24994872188474035,
      0.24563924333123988,
      0.2414024484652537,
      0.23723689428508546,
      0.2331412313700622,
      0.22911417796715883,
      0.2251545034324214,
      0.22126101739489284,
      0.21743256260747415,
      0.21366808774113036,
      0.20996690779753796,
      0.2063283335809806,
      0.20275153684738045,
      0.19923560793121073,
      0.19577959234239226,
      0.19238246723836774,
      0.189043126543865,
      0.18576049984395368,
      0.18253356150711475,
      0.17936132082269732,
      0.17624281553739715,
      0.17317710740663883,
      0.17016327944694906,
      0.16720043389337036,
      0.16428769109768834,
      0.16142418825765517,
      0.15860907881328482,
      0.1558415319045279,
      0.15312073175552296,
      0.15044587736636836,
      0.1478161821044255,
      0.14523087342385618,
      0.14268919245205833,
      0.14019039395154284,
      0.1377337457858946,
      0.13531852880484746,
      0.13294403647455846,
      0.1306095747478597,
      0.12831446179980613,
      0.12605802774898944,
      0.12383961443411105,
      0.12165857527027876,
      0.11951427484215733,
      0.11740608897073886,
      0.11533340424908699,
      0.11329561798085419,
      0.11129213804479712,
      0.1093223824432219,
      0.1073857793221415,
      0.10548176673161216,
      0.10360979242467842,
      0.10176931380318459,
      0.09995979756441621,
      0.09818071962059542,
      0.09643156492810907,
      0.09471182723322623,
      0.09302100899981124,
      0.09135862136696635,
      0.08972418376065282,
      0.08811722390996429,
      0.0865372777195954,
      0.08498388890042344,
      0.08345660902847159,
      0.08195499734473612,
      0.08047862064890778,
      0.07902705313696445,
      0.07759987629072107,
      0.07619667877695921,
      0.07481705613389991,
      0.07346061088602554,
      0.0721269523057049,
      0.07081569628790403,
      0.06952646547810455,
      0.06825888874067135,
      0.06701260117779673,
      0.06578724430174074,
      0.06458246554320572,
      0.06339791848112537,
      0.0622332624211132,
      0.061088162427267584,
      0.0599622894609109,
      0.05885531997843324,
      0.05776693584512452,
      0.05669682438706345,
      0.05564467810972835,
      0.05461019487840302,
      0.05359307757461643,
      0.052593034197555885,
      0.05160977752000039,
      0.05064302531616533,
      0.04969250003189962,
      0.04875792881356351,
      0.04783904354757649,
      0.04693558056838803,
      0.04604728061856116,
      0.045173888818932355,
      0.04431515470348885,
      0.04347083188247933,
      0.04264067827800483,
      0.04182445582883863,
      0.041021930455320176,
      0.04023287203627016,
      0.03945705430880955,
      0.038694254801958,
      0.03794425487393606,
      0.037206839681177245,
      0.036481797742118925,
      0.03576892115028272,
      0.03506800567344765,
      0.03437885057425108,
      0.03370125827305738,
      0.03303503461399203,
      0.03237998874992836,
      0.031735933002163014,
      0.03110268288473125,
      0.030480056905799958,
      0.02986787667980863,
      0.02926596700026968,
      0.028674155346225572,
      0.028092272162445173,
      0.027520150833037795,
      0.026957627488152724,
      0.026404541005898584,
      0.025860732993279883,
      0.025326047840962103,
      0.024800332330990917,
      0.024283435877420788,
      0.023775210541404832,
      0.023275510840367438,
      0.02278419372586541,
      0.022301118520091943,
      0.02182614686459082,
      0.021359142704989453,
      0.020899972311817602,
      0.02044850424527767,
      0.020004609215801404,
      0.01956816027758236,
      0.019139032509426293,
      0.01871710307270482,
      0.018302251130762313,
      0.017894357992783057,
      0.017493306947555236,
      0.017098983118121257,
      0.016711273634969454,
      0.016330067505632106,
      0.015955255643675996,
      0.015586730721384763,
      0.015224387207027764,
      0.014868121447340846,
      0.01451783155406827,
      0.01417341723950992,
      0.013834779926301796,
      0.013501822704099026,
      0.013174450286960045,
      0.012852569072444291,
      0.012536086805978874,
      0.012224912982729173,
      0.011918958518067124,
      0.011618135926118303,
      0.011322359027653248,
      0.011031543203702665,
      0.010745605241615552,
      0.010464463320514613,
      0.010188036963832265,
      0.009916247054300657,
      0.009649015867289643,
      0.009386266861198372,
      0.00912792489248054,
      0.008873916086293043,
      0.008624167724626599,
      0.008378608374660682,
      0.008137167773701782,
      0.007899776871702074,
      0.0076663676429703734,
      0.007436873360007724,
      0.007211228261656139,
      0.0069893677275774755,
      0.006771228444505374,
      0.006556747986171942,
      0.006345864892598975,
      0.006138518823492174,
      0.0059346505375015395,
      0.005734201710783658,
      0.005537114949836396,
      0.005343333814227744,
      0.0051528029259350645,
      0.004965467739277648,
      0.004781274568483338,
      0.00460017071424758,
      0.0044221044096359454,
      0.004247024750225998,
      0.0040748815963185595,
      0.0039056257003760183,
      0.0037392086411184473,
      0.0035755828559363725,
      0.003414701581605401,
      0.00325651861322664,
      0.0031009887913768614,
      0.002948067614566523,
      0.002797711242179077,
      0.002649876819095647,
      0.0025045219128334083,
      0.002361604919692309,
      0.0022210850349240296,
      0.0020829220097925713,
      0.0019470763309399975,
      0.0018135090713833008,
      0.001682182138654269,
      0.0015530578516225334,
      0.001426099206029051,
      0.001301269888480528,
      0.0011785342099330937,
      0.001057857092866989,
      0.0009392040482844449,
      0.0008225410783234517,
      0.0007078348608821184,
      0.0005950525360249758,
      0.0004841618825670273,
      0.00037513119123763116,
      0.0002679292422462376,
      0.00016252529704560633,
      5.8889257727982915e-05,
      -4.3008514942626875e-05,
      -0.0001431972222116355,
      -0.00024170555784411855,
      -0.00033856167421854143,
      -0.0004337932483371429,
      -0.0005274275843755578,
      -0.0006194914023537198,
      -0.0007100110515370983,
      -0.0007990123720761075,
      -0.0008865209745448733,
      -0.0009725619841907098,
      -0.0010571598853765945,
      -0.0011403388399978068,
      -0.0012221227507482157,
      -0.001302534922412384,
      -0.00138159833785713,
      -0.0014593356908229752,
      -0.0015357692079078968,
      -0.001610920716949468,
      -0.001684811726118503,
      -0.0017574634067442148,
      -0.0018288965299963886,
      -0.0018991315802553115,
      -0.0019681886320789205,
      -0.002036087409925872,
      -0.002102847403650034,
      -0.0021684877223928506,
      -0.0022330271125510378,
      -0.002296483935707538,
      -0.002358876374822353,
      -0.00242022235224746,
      -0.0024805394094616646,
      -0.0025398448842498863,
      -0.002598155679475695,
      -0.0026554884442814165,
      -0.0027118595757050115,
      -0.0027672851812811108,
      -0.0028217811806525834,
      -0.0028753631386939536,
      -0.002928046415901184,
      -0.0029798460824608263,
      -0.003030776977309877,
      -0.0030808536581299903,
      -0.0031300904141924662,
      -0.003178501290565626,
      -0.00322610019421309,
      -0.003272900789442063,
      -0.0033189164052541704,
      -0.003364160189499728,
      -0.003408645109701836,
      -0.0034523839465360646,
      -0.0034953892105781623,
      -0.003537673178571834,
      -0.00357924793530287,
      -0.003620125319308724,
      -0.003660317179333845,
      -0.0036998348163263277,
      -0.0037386896515453857,
      -0.003776892768469799,
      -0.0038144552111063915,
      -0.0038513876580381747,
      -0.003887700725530403,
      -0.003923404767191415,
      -0.003958509933953849,
      -0.00399302629645565,
      -0.004026963700077149,
      -0.004060331848248301,
      -0.004093140334248644,
      -0.004125398449499686,
      -0.004157115436729315,
      -0.004188300507108176,
      -0.004218962551751679,
      -0.004249110304001903,
      -0.004278752532770889,
      -0.004307897580826204,
      -0.004336553766422081,
      -0.00436472935880347,
      -0.004392432298701451,
      -0.004419670547935368,
      -0.004446451986924251,
      -0.004472784229096159,
      -0.004498674829298002,
      -0.004524131084271406,
      -0.004549160373077923,
      -0.004573769842373125,
      -0.004597966517365189,
      -0.004621757354766117,
      -0.004645149200006851,
      -0.004668148808072311,
      -0.0046907627488561475
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334293480230102,
      10.092122981871679,
      9.843073630849853,
      9.590020700327957,
      9.33558259670654,
      9.082017936430182,
      8.831207302949041,
      8.584639018229508,
      8.343404981766103,
      8.108225517881436,
      7.879488374992648,
      7.657298068777342,
      7.441530841973494,
      7.231890675366813,
      7.027962627642723,
      6.829260956186963,
      6.63527060117469,
      6.445481543170576,
      6.259416194767717,
      6.076651140770399,
      5.896829096729054,
      5.719654476536419,
      5.5448952881547005,
      5.372403011447947,
      5.202100539801832,
      5.033979571646923,
      4.8681327701589625,
      4.704771441584847,
      4.544175473881235,
      4.386653543281875,
      4.232541647430885,
      4.082214442653137,
      3.936054839633317,
      3.7944302188352124,
      3.6576814038837693,
      3.5261112029670487,
      3.3999744951387467,
      3.279472332693601,
      3.1647486506075504,
      3.055879374060057,
      2.9528635870661053,
      2.855627398015671,
      2.764016066197856,
      2.677792120373382,
      2.596694670586683,
      2.520461788828908,
      2.448822488597672,
      2.381508759056553,
      2.3182521077080547,
      2.2587613777680047,
      2.2026715237934074,
      2.149616533609191,
      2.099263978162904,
      2.051293110176354,
      2.005420746667872,
      1.9614080524023294,
      1.9190638252262238,
      1.8782251068472002,
      1.8387575531759386,
      1.800545687428708,
      1.7634876674523643,
      1.727501551992524,
      1.6925203295008546,
      1.6584876771238972,
      1.6253551168050273,
      1.5930838595615657,
      1.5616425265488203,
      1.5310011402041126,
      1.5011313937773754,
      1.4720060254698835,
      1.4435986266278664,
      1.4158837625302017,
      1.3888374828660734,
      1.3624357293180258,
      1.3366541333854003,
      1.3114702431529224,
      1.2868631753426647,
      1.2628133466941158,
      1.2393022839307588,
      1.2163124868223512,
      1.1938273275431617,
      1.1718309703467455,
      1.1503083149147677,
      1.129245916804822,
      1.1086314738013578,
      1.0884532485517608,
      1.0686997769168416,
      1.049359593882388,
      1.0304213996759861,
      1.0118741564831815,
      0.9937071438294902,
      0.9759099860721817,
      0.9584726628013626,
      0.9413855086340565,
      0.924639207226744,
      0.9082247809976934,
      0.8921335798086337,
      0.8763572677136042,
      0.860887809817987,
      0.8457174593389403,
      0.8308387444401897,
      0.8162444556179036,
      0.8019276338449414,
      0.7878815598996652,
      0.7740997426003006,
      0.7605759087928298,
      0.7473039939634796,
      0.7342781325206781,
      0.7214926492992938,
      0.7089420512134285,
      0.6966210192513278,
      0.6845244013035983,
      0.6726472045310258,
      0.6609845890750078,
      0.6495318613753579,
      0.638284468685973,
      0.6272379929683021,
      0.6163881452361379,
      0.6057307604826067,
      0.5952617731713197,
      0.5849771786184426,
      0.5748730988227075,
      0.5649458168902601,
      0.5551924819427824,
      0.5456106183167563,
      0.5361974183018663,
      0.5269498994183927,
      0.5178649997865975,
      0.5089396370480456,
      0.5001707452843644,
      0.49155529695233163,
      0.483090315434737,
      0.4747728824264248,
      0.46660014178580467,
      0.4585693008348604,
      0.45067763071667394,
      0.44292246565735116,
      0.43530120191967847,
      0.42781150131144163,
      0.420451272280624,
      0.4132183449553726,
      0.4061104935717769,
      0.39912547652699143,
      0.39226106110766384,
      0.3855150381358444,
      0.37888523117675804,
      0.3723695015519852,
      0.3659657509957778,
      0.3596719606840132,
      0.3534862932765968,
      0.3474069257869862,
      0.3414320128523883,
      0.335559709961417,
      0.3297881873901603,
      0.32411563857228187,
      0.31854028500248355,
      0.3130603791381097,
      0.3076742338721015,
      0.3023802093920473,
      0.29717668152311527,
      0.2920620474307664,
      0.2870347292672574,
      0.28209317630555325,
      0.27723586576656445,
      0.27246130320016243,
      0.2677680228725847,
      0.2631545869958631,
      0.25861958544318975,
      0.25416163534259467,
      0.2497793806538626,
      0.24547136250908852,
      0.24123602693211704,
      0.2370719284330051,
      0.2329777160132686,
      0.2289521070542661,
      0.22499387019440745,
      0.22110181456534747,
      0.21727478242326978,
      0.21351171778240569,
      0.20981192948667213,
      0.2061747320623316,
      0.20259929963003095,
      0.19908472398684457,
      0.1956300512836234,
      0.19223425573816022,
      0.18889623165107824,
      0.18561491019902598,
      0.18238926678278464,
      0.1792183113968532,
      0.1761010820785816,
      0.17303664086138323,
      0.1700240708548473,
      0.1670624745137955,
      0.1641509721108358,
      0.16128870102407628,
      0.158474814688388,
      0.15570848209071514,
      0.15298888745846512,
      0.1503152297151548,
      0.14768672220486567,
      0.1451025923346015,
      0.142562081325585,
      0.14006444386344769,
      0.13760894774138252,
      0.13519487384015183,
      0.1328215156750985,
      0.13048817906925958,
      0.12819418229519747,
      0.12593885544634179,
      0.12372154034041224,
      0.12154159036260911,
      0.11939837018563,
      0.11729125555004499,
      0.11521963305397222,
      0.11318290009772371,
      0.11118046441761104,
      0.10921174418083604,
      0.10727616754141153,
      0.10537317262952269,
      0.10350220717250834,
      0.10166272844010091,
      0.09985420317672916,
      0.09807610746368381,
      0.09632792619913545,
      0.09460915319325747,
      0.09291929094960379,
      0.09125785051460807,
      0.08962435148335984,
      0.08801832163429534,
      0.08643929666826994,
      0.08488682041422738,
      0.08336044443959048,
      0.08185972807281855,
      0.08038423823678602,
      0.07893354915333584,
      0.07750724239474133,
      0.0761049065480805,
      0.07472613719360187,
      0.07337053689574059,
      0.07203771496167022,
      0.07072728743672423,
      0.06943887698151723,
      0.0681721124423868,
      0.06692662905456122,
      0.06570206830293843,
      0.06449807772941285,
      0.06331431082920948,
      0.06215042703270311,
      0.06100609164210682,
      0.05988097547503052,
      0.058774755021608935,
      0.057687112218501556,
      0.05661773438293856,
      0.05556631417017425,
      0.054532549461764245,
      0.05351614310776448,
      0.05251680312330927,
      0.05153424247543754,
      0.0505681788784561,
      0.04961833492249347,
      0.04868443785744657,
      0.047766219474241506,
      0.046863416146172884,
      0.04597576881457612,
      0.04510302278182782,
      0.044244927406246456,
      0.04340123640096765,
      0.04257170769117442,
      0.04175610330976241,
      0.04095418914935777,
      0.04016573523523249,
      0.039390515358348026,
      0.038628307088512455,
      0.03787889192018143,
      0.03714205489188033,
      0.036417584703291254,
      0.03570527362969901,
      0.035004917424769494,
      0.03431631511573272,
      0.033639269377680046,
      0.03297358624085421,
      0.03231907477274773,
      0.03167554734443029,
      0.031042819508969803,
      0.030420709917456868,
      0.02980904017050778,
      0.0292076350568765,
      0.0286163220786998,
      0.028034931865481352,
      0.02746329781744959,
      0.026901256116166908,
      0.026348645720048695,
      0.025805308294595885,
      0.025271088140576076,
      0.024745832176431372,
      0.0242293900140165,
      0.0237216136627535,
      0.02322235763765146,
      0.0227314788799996,
      0.022248836865388113,
      0.021774293298417926,
      0.02130771215525993,
      0.02084895978733322,
      0.02039790479074559,
      0.01995441793057877,
      0.019518372239300533,
      0.019089642856603934,
      0.01866810697290493,
      0.018253643939999523,
      0.017846135008187162,
      0.017445463516447577,
      0.01705151464511381,
      0.016664175570345,
      0.016283335403809326,
      0.015908885107836664,
      0.01554071736714639,
      0.015178726727908135,
      0.01482280961714681,
      0.014472864006565585,
      0.01412878971241108,
      0.013790488282540397,
      0.013457862839402002,
      0.013130818139252936,
      0.012809260459481952,
      0.012493097727214698,
      0.012182239482791256,
      0.011876596633026483,
      0.01157608171884353,
      0.011280608706783747,
      0.010990092969625826,
      0.01070445136540697,
      0.010423602148436377,
      0.010147464909288553,
      0.00987596044396275,
      0.009609011066611129,
      0.009346540451018737,
      0.009088473464762147,
      0.008834736027166416,
      0.008585255543859483,
      0.008339960749107476,
      0.008098781445240332,
      0.007861648469093475,
      0.007628493891290562,
      0.007399250927841668,
      0.0071738539642763974,
      0.006952238552634764,
      0.006734341228658424,
      0.006520099561501329,
      0.006309452252468827,
      0.006102338977061447,
      0.005898700409009595,
      0.005698478312007013,
      0.005501615368205685,
      0.0053080551442765585,
      0.0051177422387692715,
      0.004930622210979018,
      0.004746641551945569,
      0.004565747550525335,
      0.004387888449267467,
      0.0042130132283002735,
      0.004041071882600109,
      0.003872015187128948,
      0.003705794790109921,
      0.003542363054933992,
      0.003381673153157149,
      0.003223679084181935,
      0.0030683356914744343,
      0.00291559852426508,
      0.002765423758209055,
      0.0026177685004526562,
      0.0024725904367020966,
      0.002329847989551928,
      0.002189500346052504,
      0.002051507323041676,
      0.0019158293238443784,
      0.001782427602831298,
      0.001651263890275566,
      0.0015223007578553476,
      0.0013955012361046137,
      0.0012708289746411689,
      0.0011482484430952345,
      0.0010277244542819981,
      0.0009092224905639693,
      0.0007927086002001887,
      0.0006781494229250028,
      0.0005655121862583098,
      0.00045476468510499376,
      0.0003458752252861096,
      0.0002388125562492156,
      0.00013354604094633498,
      3.0045446774579275e-05,
      -7.171885534045961e-05,
      -0.00017177581627282937,
      -0.00027015402596394756,
      -0.00036688178744555077,
      -0.0004619867000614476,
      -0.0005554960603951961,
      -0.0006474366257898133,
      -0.000737834668752265,
      -0.0008267161054556101,
      -0.0009141063493292969,
      -0.0010000304045087998,
      -0.0010845129513167796,
      -0.0011675781503962704,
      -0.001249249820421491,
      -0.0013295512962255493,
      -0.0014085055839677218,
      -0.0014861353052418973,
      -0.0015624626649114594,
      -0.001637509411000667,
      -0.0017112971430723902,
      -0.0017838469257739548,
      -0.0018551795627936277,
      -0.0019253154875927938,
      -0.0019942747672424908,
      -0.0020620770157207488,
      -0.00212874175116369,
      -0.0021942880649072505,
      -0.002258734690439226,
      -0.0023221000956174047,
      -0.00238440254264553,
      -0.0024456596957965994,
      -0.0025058891486243475,
      -0.002565108130109454,
      -0.002623333642618219,
      -0.0026805823058229437,
      -0.002736870517261343,
      -0.0027922144916142067,
      -0.0028466300377705646,
      -0.002900132646488971,
      -0.0029527376593680857,
      -0.003004460125546271,
      -0.003055314784439065,
      -0.003105316218838963,
      -0.003154478817002472,
      -0.0032028164981516057,
      -0.003250343212706624,
      -0.003297072557760933,
      -0.0033430179707343408,
      -0.0033881924637579578,
      -0.0034326090439546104,
      -0.0034762804272233,
      -0.0035192192281900806,
      -0.003561437698035108,
      -0.0036029479188689176,
      -0.003643761723937708,
      -0.003683890718735183,
      -0.003723346479120879,
      -0.0037621404186402737,
      -0.003800283559807129,
      -0.003837786781083143,
      -0.0038746607512489414,
      -0.003910916117722763,
      -0.003946563185750848,
      -0.003981612156066176,
      -0.004016073152164068,
      -0.004049956050144594,
      -0.004083270460404755,
      -0.004116025968644448,
      -0.004148231982779371,
      -0.004179897604600062,
      -0.004211031970791634,
      -0.004241643913322284,
      -0.004271742280621721,
      -0.004301335660460108,
      -0.004330432566356102,
      -0.004359041331045899,
      -0.004387170183719628,
      -0.004414827168082307,
      -0.004442020211737993,
      -0.004468757049403919,
      -0.0044950452849382115,
      -0.004520892580295373,
      -0.004546306240250181,
      -0.0045712934956569605,
      -0.004595861538111604,
      -0.004620017389203969,
      -0.004643767947049339,
      -0.004667120039021608,
      -0.004690080321115461,
      -0.004712655412389288
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334289122121081,
      10.092109135319017,
      9.843045431009193,
      9.58997339787322,
      9.335512514637953,
      9.08192256711273,
      8.831085142806558,
      8.584489268266175,
      8.343227327750721,
      8.108019965410406,
      7.87925512033954,
      7.657037399721193,
      7.441243074015909,
      7.231576114443389,
      7.027621558573329,
      6.828893650427718,
      6.634877340704606,
      6.44506265393661,
      6.258972090877311,
      6.0761824079842475,
      5.896336536883741,
      5.71913914003883,
      5.544358440689351,
      5.371846157357758,
      5.201525269499078,
      5.03338773721517,
      4.867527028708781,
      4.704155146738629,
      4.543552040215875,
      4.386026360258093,
      4.231914244959029,
      4.0815905451845005,
      3.9354380194055487,
      3.793823829632994,
      3.6570885215965174,
      3.5255345865869443,
      3.399416546094216,
      3.2789350683463243,
      3.1642336917822758,
      3.055387776009378,
      2.952395793146842,
      2.855183383033064,
      2.7635950738677426,
      2.6773929795324616,
      2.5963160669972476,
      2.520102198904556,
      2.4484802947066227,
      2.3811823619685284,
      2.317939810082707,
      2.2584612961212707,
      2.2023813840849713,
      2.1493342820069565,
      2.0989875766143933,
      2.0510207391444566,
      2.005150952023535,
      1.9611397579973713,
      1.9187962322056935,
      1.877957620252411,
      1.838489749510995,
      1.8002771546307486,
      1.763218082932548,
      1.7272307043759934,
      1.6922480840614715,
      1.658213952597981,
      1.625079957562697,
      1.5928076746598356,
      1.5613656799582383,
      1.5307238832763825,
      1.500853909791074,
      1.4717284385963334,
      1.443321021974695,
      1.415606199894766,
      1.388560019140049,
      1.362158425332943,
      1.3363770386880038,
      1.311193394301527,
      1.2865866013581604,
      1.2625370711879453,
      1.2390263278767657,
      1.2160368701419966,
      1.19355206879279,
      1.1715560878632967,
      1.150033835472997,
      1.1289718786303133,
      1.1083579129992962,
      1.088180204452322,
      1.068427281384743,
      1.0490876732717684,
      1.0301500769136855,
      1.0116034527227111,
      0.993437079170626,
      0.9756405798562412,
      0.9582039337356987,
      0.9411174749509816,
      0.924371886571341,
      0.907958191265813,
      0.8918677390033363,
      0.8760921938386481,
      0.8606235208072063,
      0.8454539724632298,
      0.8305760768181631,
      0.8159826244579043,
      0.8016666563183173,
      0.7876214526959405,
      0.7738405219265759,
      0.7603175907915238,
      0.7470465947117102,
      0.7340216678646447,
      0.7212371349566732,
      0.7086875024066457,
      0.6963674511427812,
      0.6842718286057287,
      0.6723956419198496,
      0.6607340506516125,
      0.6492823611597079,
      0.6380360206428836,
      0.6269906103623328,
      0.6161418407905837,
      0.6054855467308425,
      0.5950176621638392,
      0.5847341818995907,
      0.5746312278050183,
      0.5647051237583142,
      0.5549530732817616,
      0.5453725624672522,
      0.5359607596507139,
      0.5267146669711293,
      0.5176312128588627,
      0.5087073088837837,
      0.49993988524725447,
      0.491325911527626,
      0.4828624093425822,
      0.4745464592645336,
      0.46637520428071605,
      0.45834585110987847,
      0.45045567039860296,
      0.44270199612948635,
      0.4350822240842558,
      0.4275940379132697,
      0.42023534615758684,
      0.4130039697352593,
      0.4058976768184782,
      0.3989142218942626,
      0.39205136976260574,
      0.3853069097619004,
      0.3786786642293837,
      0.3721644938115156,
      0.36576229975741353,
      0.35947006759644157,
      0.3532859658789727,
      0.3472081667811736,
      0.341234821952563,
      0.33536408518096705,
      0.32959412539082084,
      0.32392313501761694,
      0.31834933505793894,
      0.3128709778641654,
      0.3074863775687943,
      0.30219389394291457,
      0.29699190194423747,
      0.2918787980116816,
      0.286853003871904,
      0.28191296844095015,
      0.2770571687493836,
      0.2722841102315947,
      0.26759232683053424,
      0.262980380618713,
      0.2584468615874925,
      0.25399038667943374,
      0.24960959963042337,
      0.24530304760417682,
      0.2410691768853569,
      0.23690653950349327,
      0.2328137829405199,
      0.22878962352826226,
      0.2248328292953241,
      0.22094220890696664,
      0.21711660445867498,
      0.2133549552249669,
      0.20965656350435627,
      0.20602074758898267,
      0.2024466839946073,
      0.19893346601036427,
      0.1954801408389528,
      0.19208567959811,
      0.18874897661331644,
      0.18546896482242736,
      0.1822446206369923,
      0.17907495467133855,
      0.17595900546023382,
      0.17289583520304325,
      0.169884527207043,
      0.16692418402893988,
      0.16401392600430453,
      0.16115289031903246,
      0.1583402304168575,
      0.15557511531597934,
      0.1528567292527411,
      0.15018427123863462,
      0.14755695461880605,
      0.14497400675253372,
      0.1424346687765733,
      0.1399381952730881,
      0.13748385414156133,
      0.13507092620969538,
      0.13269870502789743,
      0.13036649646563467,
      0.1280736186943319,
      0.1258194018124133,
      0.12360318767187602,
      0.12142432960674006,
      0.11928219240728134,
      0.1171761517314785,
      0.11510559428221408,
      0.1130699173065422,
      0.1110685285679314,
      0.10910084628798909,
      0.10716629858809174,
      0.10526432361176662,
      0.1033943691646445,
      0.10155589260907602,
      0.09974836059291325,
      0.0979712491782592,
      0.09622404333409748,
      0.09450623692936166,
      0.0928173325083408,
      0.09115684128020766,
      0.08952428267974538,
      0.08791918452293232,
      0.08634108263487109,
      0.08478952081694618,
      0.08326405080082364,
      0.08176423180682797,
      0.08028963082860702,
      0.07883982215660258,
      0.07741438718796886,
      0.07601291467512414,
      0.0746350003678088,
      0.07328024685508941,
      0.07194826343173018,
      0.07063866612280964,
      0.06935107754108781,
      0.06808512667348267,
      0.06684044886210987,
      0.0656166856463367,
      0.06441348462444307,
      0.06323049931812427,
      0.062067389233967915,
      0.06092381962224734,
      0.05979946141603465,
      0.058693991204195176,
      0.05760709089752032,
      0.0565384479078105,
      0.05548775485077838,
      0.05445470965713101,
      0.05343901529241498,
      0.052440379877889985,
      0.051458516448759484,
      0.050493142715207426,
      0.049543981266872504,
      0.04861075939512121,
      0.04769320899026827,
      0.04679106654202082,
      0.045904072924993815,
      0.04503197349372443,
      0.044174517755503545,
      0.04333145945341073,
      0.042502556563703116,
      0.04168757110878658,
      0.04088626917034531,
      0.04009842070447573,
      0.03932379956601633,
      0.038562183477385104,
      0.03781335390730933,
      0.03707709596444706,
      0.036353198355036066,
      0.035641453373992764,
      0.03494165683310267,
      0.03425360805374448,
      0.03357710972054897,
      0.032911967735066334,
      0.032257991253599745,
      0.031614992680353865,
      0.030982787615915115,
      0.030361194716023554,
      0.02975003583624286,
      0.029149135679187203,
      0.02855832193713108,
      0.0279774252546846,
      0.02740627901862002,
      0.02684471952118086,
      0.026292585714179025,
      0.0257497193619829,
      0.02521596485539573,
      0.024691169073653697,
      0.024175181587165404,
      0.023667854603185354,
      0.02316904262317229,
      0.02267860265579514,
      0.022196394147146834,
      0.021722278914163996,
      0.021256121023432408,
      0.020797786907999598,
      0.020347145245206817,
      0.01990406692591545,
      0.01946842481598332,
      0.0190400942254611,
      0.018618952388100095,
      0.018204878667858783,
      0.017797754391472572,
      0.017397462803406347,
      0.017003889206369367,
      0.016616920861662363,
      0.016236446903691443,
      0.01586235826172679,
      0.015494547728681718,
      0.015132910062460519,
      0.01477734157971616,
      0.014427740436622616,
      0.01408400640126872,
      0.013746041046038196,
      0.013413747495077748,
      0.013087030604539952,
      0.012765796754764636,
      0.012449953864820196,
      0.012139411483189496,
      0.011834080636438035,
      0.011533873811180144,
      0.011238704998014512,
      0.010948489710649503,
      0.01066314471385218,
      0.010382588382703556,
      0.010106740324767643,
      0.009835521561232588,
      0.00956885439514687,
      0.009306662341866319,
      0.009048870357199163,
      0.008795404574587037,
      0.00854619236524342,
      0.008301162352186949,
      0.008060244467426477,
      0.007823369492324702,
      0.0075904696895043935,
      0.007361478397066454,
      0.007136329925972236,
      0.006914959677820512,
      0.006697304355433067,
      0.006483301599942781,
      0.006272890159846596,
      0.006066009758588116,
      0.005862601087186334,
      0.005662605901998867,
      0.0054659668979628205,
      0.005272627846568245,
      0.00508253322847557,
      0.00489562865205453,
      0.0047118606588495105,
      0.004531176590155189,
      0.004353524628347256,
      0.004178853905191132,
      0.0040071143977077,
      0.003838257024483702,
      0.0036722332427783578,
      0.0035089955454163753,
      0.0033484973058922835,
      0.00319069246173816,
      0.003035535754095274,
      0.002882982759259,
      0.0027329898289077848,
      0.002585513944306895,
      0.002440512973677509,
      0.0022979453287835165,
      0.00215777023412658,
      0.0020199473823229665,
      0.0018844373551191397,
      0.00175120139179552,
      0.0016202013074141028,
      0.001491399527222815,
      0.0013647591871944315,
      0.0012402440657176977,
      0.0011178184732939893,
      0.0009974472584464587,
      0.0008790961026514318,
      0.0007627310227222472,
      0.0006483186828140658,
      0.0005358263845426136,
      0.0004252218938746448,
      0.0003164734290816041,
      0.00020954996881278478,
      0.00010442092645259181,
      1.0560428929242094e-06,
      -0.00010057428062577466,
      -0.00020049915600150732,
      -0.00029874720164465364,
      -0.00039534655311360194,
      -0.0004903247635019438,
      -0.0005837090963864636,
      -0.0006755263081411094,
      -0.0007658026957594313,
      -0.0008545641430507769,
      -0.0009418360057658251,
      -0.001027643402176663,
      -0.0011120108535940523,
      -0.0011949625586283369,
      -0.0012765221575074983,
      -0.0013567130475843857,
      -0.001435558182581936,
      -0.0015130801817121496,
      -0.0015893012975618467,
      -0.0016642434273211248,
      -0.001737927931339028,
      -0.0018103759144340124,
      -0.001881608092314397,
      -0.001951644815698221,
      -0.0020205061882929308,
      -0.002088211986873016,
      -0.0021547815479607893,
      -0.002220234053721696,
      -0.00228458818091131,
      -0.0023478622701959915,
      -0.00241007461385278,
      -0.0024712429931592213,
      -0.0025313849202713338,
      -0.002590517617748891,
      -0.002648658009892686,
      -0.0027058226556968754,
      -0.002762028017361388,
      -0.002817290136861355,
      -0.002871624807035739,
      -0.0029250477037796943,
      -0.0029775740846906228,
      -0.0030292189572962746,
      -0.00307999725249245,
      -0.0031299235077363093,
      -0.003179011949654552,
      -0.003227276588047097,
      -0.0032747312900120373,
      -0.0033213896562305023,
      -0.0033672650552680123,
      -0.0034123705615618834,
      -0.003456719114902867,
      -0.0035003234376992706,
      -0.00354319604674059,
      -0.0035853491622354237,
      -0.0036267948386792628,
      -0.003667545031314504,
      -0.0037076113248096752,
      -0.0037470052142474512,
      -0.0037857379720609625,
      -0.00382382062223574,
      -0.0038612642828268168,
      -0.003898079656022448,
      -0.003934277197254421,
      -0.003969867385488957,
      -0.004004860363540319,
      -0.004039266060571957,
      -0.0040730943709460475,
      -0.004106355002335552,
      -0.004139057386544583,
      -0.0041712109519624055,
      -0.00420282489982289,
      -0.004233908341949883,
      -0.004264470241154522,
      -0.004294519293900157,
      -0.004324064059750046,
      -0.004353112969562092,
      -0.0043816743775251426,
      -0.004409756594213959,
      -0.004437367613677378,
      -0.004464515240307705,
      -0.0044912072658302585,
      -0.004517451296206961,
      -0.004543255042543802,
      -0.004568625791258894,
      -0.004593570833776424,
      -0.004618097259575157,
      -0.0046422120858337175,
      -0.004665922189570287,
      -0.004689234290190564,
      -0.0047121551285116735,
      -0.004734691384939199
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334286094260007,
      10.092097703896748,
      9.843020489938521,
      9.589930001164072,
      9.335446809164205,
      9.081831911027612,
      8.830967914619116,
      8.584344555247007,
      8.343054722418607,
      8.107819401424717,
      7.879026738444881,
      7.656781447710644,
      7.440959838918199,
      7.231265883747118,
      7.027284605570987,
      6.828530242319197,
      6.634487757410689,
      6.444647219585541,
      6.2585312348905955,
      6.0757167289046325,
      5.89584683570974,
      5.7186264655456585,
      5.543824055625426,
      5.371291564912004,
      5.200952060482066,
      5.032797765509253,
      4.866922951890538,
      4.703540319958687,
      4.5429298784908845,
      4.385400254135729,
      4.2312877265072775,
      4.080967340467252,
      3.9348217012204767,
      3.793217753903004,
      3.6564957683916752,
      3.524957919621542,
      3.3988583735769105,
      3.278397415818689,
      3.1637181877344767,
      3.0548954840591516,
      2.9519271663982054,
      2.8547384043723874,
      2.763173000379506,
      2.6769926527345707,
      2.59593615419669,
      2.5197411629308792,
      2.4481365398591306,
      2.3808543090910117,
      2.317625778720667,
      2.2581594194989787,
      2.2020894068422647,
      2.1490501663451957,
      2.098709298304579,
      2.0507464894355096,
      2.0048792855641366,
      1.9608696051563097,
      1.9185267988018244,
      1.8776883147960142,
      1.8382201510567058,
      1.8000068524266608,
      1.7629467533024232,
      1.726958135854835,
      1.6919741419780259,
      1.6579385553410224,
      1.6248031490696397,
      1.5925298639906378,
      1.5610872310764374,
      1.5304450471220055,
      1.5005748696008647,
      1.4714493174565841,
      1.4430419042992437,
      1.4153271448322475,
      1.3882810831403105,
      1.3618796691032904,
      1.3360985113159378,
      1.3109151320680088,
      1.2863086324842932,
      1.262259419496021,
      1.23874901419606,
      1.2157599137992996,
      1.193275488323457,
      1.1712799008912658,
      1.1497580683910562,
      1.1286965692624467,
      1.1080830978479737,
      1.0879059226256662,
      1.068153564064488,
      1.0488145463838747,
      1.0298775635711206,
      1.0113315739181534,
      0.9931658545512333,
      0.9753700280216745,
      0.9579340727217143,
      0.9408483226955937,
      0.9241034613650353,
      0.9076905109665844,
      0.8916008209983667,
      0.8758260552442311,
      0.8603581786537092,
      0.845189444323275,
      0.8303123798959372,
      0.8157197756818876,
      0.8014046723688587,
      0.7873603500953166,
      0.77358031729445,
      0.7600583004777751,
      0.7467882346448613,
      0.7337642538974206,
      0.7209806825886954,
      0.7084320271564379,
      0.6961129678405097,
      0.6840183517932311,
      0.6721431859592482,
      0.6604826299002733,
      0.6490319894735251,
      0.6377867112504286,
      0.6267423764406849,
      0.6158946954210334,
      0.6052395025660604,
      0.5947727308051769,
      0.5844903746371635,
      0.574388555941486,
      0.5644636394365494,
      0.5547128828089745,
      0.5451337336447463,
      0.5357233365979523,
      0.5264786785960838,
      0.517396678575677,
      0.5084742419769684,
      0.49970829478469386,
      0.4910958039472957,
      0.48263378918448235,
      0.4743193298640738,
      0.46614956832511756,
      0.45812171060060597,
      0.45023302688608724,
      0.44248085078761573,
      0.43486257785490123,
      0.42737591326982804,
      0.4200187658903951,
      0.4127889470879525,
      0.4056842192697046,
      0.3987023330568452,
      0.3918410506800282,
      0.3850981599364049,
      0.3784714822340432,
      0.37195887728357835,
      0.3655582457157216,
      0.35926758053698143,
      0.35308505202945195,
      0.3470088282189174,
      0.3410370580948045,
      0.33516789349872195,
      0.32939950216292646,
      0.3237300758868613,
      0.318157834983855,
      0.3126810322661019,
      0.3072979828839777,
      0.3020070454360836,
      0.29680659414496857,
      0.291695025108129,
      0.2866707596429111,
      0.281732246362239,
      0.27687796208396986,
      0.27210641202800334,
      0.26741612993119085,
      0.2628056778562185,
      0.25827364555938515,
      0.25381864982546226,
      0.24943933418011774,
      0.24513425180676374,
      0.240901849326794,
      0.23674067654278266,
      0.23264937925101145,
      0.2286266727079809,
      0.2246713243061873,
      0.2207821422304366,
      0.216957968324817,
      0.21319773719780438,
      0.20950074510832853,
      0.20586631412530337,
      0.2022936229051119,
      0.19878176615297796,
      0.19532979183124663,
      0.19193666798247044,
      0.18860128919743402,
      0.18532259004666107,
      0.18209954803989267,
      0.1789311744346346,
      0.17581650813403402,
      0.17275461162870376,
      0.16974456833848844,
      0.16678548078565403,
      0.1638764693971428,
      0.16101667139741688,
      0.1582052403430491,
      0.15544134526075223,
      0.15272417034816957,
      0.15005291444723562,
      0.1474267909071076,
      0.14484502710475095,
      0.14230686419513536,
      0.13981155677310164,
      0.13735837265525602,
      0.13494659280194718,
      0.13257551055840586,
      0.13024443191183216,
      0.1279526750541341,
      0.12569956993054948,
      0.12348445842769352,
      0.12130669403210595,
      0.11916564134664,
      0.11706067607982927,
      0.1149911849683766,
      0.1129565653465332,
      0.11095622506716926,
      0.10898958223401173,
      0.1070560650114175,
      0.1051551115302661,
      0.10328616963614527,
      0.10144869673889577,
      0.09964215961171123,
      0.09786603413852689,
      0.09611980540348158,
      0.09440296732191163,
      0.09271502233924278,
      0.09105548171261853,
      0.08942386491275858,
      0.08781969977311149,
      0.08624252227336723,
      0.0846918762847619,
      0.08316731340628711,
      0.08166839304105238,
      0.08019468205171762,
      0.0787457547826586,
      0.07732119280626155,
      0.07592058488279997,
      0.07454352670416767,
      0.07318962094225452,
      0.0718584770329694,
      0.07054971109919736,
      0.06926294574844752,
      0.0679978099958527,
      0.06675393905111746,
      0.0655309745482946,
      0.06432856407961071,
      0.06314636149951466,
      0.06198402622652683,
      0.06084122352368658,
      0.059717624358058094,
      0.058612905192467646,
      0.05752674817596057,
      0.05645884074767478,
      0.05540887567443328,
      0.05437655087235722,
      0.0533615694292071,
      0.05236363949959181,
      0.05138247405062751,
      0.05041779098214102,
      0.04946931288320135,
      0.04853676703901646,
      0.047619885477510504,
      0.04671840470315771,
      0.045832065600194205,
      0.044960613498952195,
      0.04410379805212245,
      0.043261373178421984,
      0.04243309686981681,
      0.04161873112228966,
      0.040818041993190626,
      0.04003079959123249,
      0.0392567778692038,
      0.038495754583757855,
      0.03774751124436265,
      0.03701183298113632,
      0.036288508553787784,
      0.03557733045099245,
      0.03487809446942662,
      0.0341905999292142,
      0.03351464952088887,
      0.03285004917830311,
      0.03219660806590879,
      0.03155413878155536,
      0.03092245703215533,
      0.030301381531336255,
      0.029690734067611777,
      0.029090339469838616,
      0.028500025552619136,
      0.027919622952570246,
      0.027348965051685253,
      0.026787888197550094,
      0.026236231388082412,
      0.025693836449881807,
      0.02516054784597161,
      0.02463621246830467,
      0.024120679948424217,
      0.0236138026100168,
      0.023115435056486937,
      0.022625434346336352,
      0.02214365998710563,
      0.021669973773665658,
      0.021204239870535033,
      0.020746324642661306,
      0.020296096793855113,
      0.01985342717711349,
      0.01941818905225039,
      0.018990257538504363,
      0.01856951006060434,
      0.01815582598951937,
      0.017749086545214905,
      0.017349175126423023,
      0.016955977127320478,
      0.01656937985115501,
      0.016189272450253905,
      0.01581554588565368,
      0.015448093155559952,
      0.015086808843784556,
      0.01473158932368041,
      0.014382332822759334,
      0.014038939227115117,
      0.013701310089645926,
      0.01336934861311177,
      0.013042959671542365,
      0.012722049716969023,
      0.012406526711495815,
      0.012096300256471994,
      0.011791281453960738,
      0.011491382959087871,
      0.011196518681799258,
      0.010906604047258022,
      0.010621555969685333,
      0.010341292786895466,
      0.010065734200894952,
      0.009794801217460616,
      0.009528416224272111,
      0.009266502851755795,
      0.009008986061618861,
      0.008755791998559796,
      0.00850684812063143,
      0.008262082990742744,
      0.008021426473547968,
      0.007784809613065022,
      0.007552164565300089,
      0.007323424701338423,
      0.007098524498430798,
      0.0068773994928234845,
      0.00665998629394957,
      0.006446222641032659,
      0.006236047273188211,
      0.006029399911725928,
      0.005826221335408651,
      0.005626453236801903,
      0.00543003843900665,
      0.00523692063928012,
      0.005047044442601383,
      0.004860355538638414,
      0.004676800380440146,
      0.0044963263368643855,
      0.004318881759526536,
      0.004144415754576437,
      0.003972878263123098,
      0.0038042201823961525,
      0.0036383931796437783,
      0.003475349623152206,
      0.003315042891589816,
      0.0031574270127796874,
      0.0030024569217373554,
      0.002850088169986553,
      0.0027002770436972785,
      0.002552980658998435,
      0.002408156850978526,
      0.0022657639888820453,
      0.002125761258169265,
      0.0019881085638467143,
      0.0018527665066857255,
      0.0017196962412720927,
      0.001588859660596171,
      0.001460219278347736,
      0.0013337381517515116,
      0.001209380168995742,
      0.0010871096085444904,
      0.0009668913933839029,
      0.0008486911122017997,
      0.0007324748715786152,
      0.0006182093793731148,
      0.000505862030244828,
      0.0003954005230139536,
      0.0002867932303057277,
      0.0001800090043265006,
      7.501726441611955e-05,
      -2.8212167516336435e-05,
      -0.00012970877187653984,
      -0.00022950172085640154,
      -0.0003276195856532712,
      -0.0004240904105049878,
      -0.0005189418292446329,
      -0.0006122010528363899,
      -0.0007038949062414313,
      -0.0007940496920639073,
      -0.0008826911601279211,
      -0.0009698448058601951,
      -0.0010555354487156313,
      -0.0011397876923243575,
      -0.0012226256074189948,
      -0.0013040729473001525,
      -0.0013841532474423253,
      -0.0014628894534578286,
      -0.0015403040049648707,
      -0.0016164190381224555,
      -0.0016912563389108331,
      -0.001764837339696304,
      -0.0018371832095300576,
      -0.0019083147530509282,
      -0.001978252250263246,
      -0.002047015809738618,
      -0.0021146250976345695,
      -0.002181099599566878,
      -0.0022464582962268007,
      -0.00231071986486713,
      -0.0023739026509469368,
      -0.00243602484881048,
      -0.002497104362962197,
      -0.0025571586745956423,
      -0.0026162048722177898,
      -0.0026742599159631504,
      -0.0027313404495093443,
      -0.0027874628083613693,
      -0.002842643166571542,
      -0.002896897358618033,
      -0.0029502407570317383,
      -0.0030026887526318556,
      -0.0030542564141034195,
      -0.0031049584709384494,
      -0.0031548094667027547,
      -0.003203823682320763,
      -0.0032520151924512767,
      -0.0032993977933352975,
      -0.0033459850315196438,
      -0.0033917902825796094,
      -0.0034368266636213805,
      -0.0034811070529861786,
      -0.003524644204480222,
      -0.003567450530063718,
      -0.0036095383587215076,
      -0.003650919736851125,
      -0.0036916064242828793,
      -0.0037316101763235614,
      -0.003770942414120336,
      -0.0038096144479487725,
      -0.0038476373751380726,
      -0.003885022034682525,
      -0.0039217790942431,
      -0.003957919060326095,
      -0.0039934523766743425,
      -0.004028389287176651,
      -0.004062739774384492,
      -0.004096513579498536,
      -0.004129720539773426,
      -0.0041623700288994,
      -0.004194471477551765,
      -0.00422603409224531,
      -0.004257066840464755,
      -0.004287578702318289,
      -0.0043175784386420965,
      -0.004347074631616328,
      -0.004376075693027833,
      -0.004404589929286347,
      -0.0044326255229883114,
      -0.004460190495064697,
      -0.0044872927807788005,
      -0.00451394007010455,
      -0.004540140073314011,
      -0.004565900334899556,
      -0.00459122822521415,
      -0.004616130943688093,
      -0.004640615687108997,
      -0.004664689378999379,
      -0.004688359002021433,
      -0.004711631345658246,
      -0.004734513026342591,
      -0.004757010698080019
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334283967896889,
      10.092087896768037,
      9.842997737245636,
      9.58988921451139,
      9.335384007027054,
      9.081744346938503,
      8.830853878236784,
      8.58420305464032,
      8.34288528611833,
      8.107621913577582,
      7.878801300139235,
      7.656528277128397,
      7.440679203016582,
      7.230958056307327,
      7.026949854203084,
      6.828168830192856,
      6.6340999644841,
      6.4442333719791,
      6.258091768907275,
      6.0752522499296875,
      5.895358145247038,
      5.7181146130408465,
      5.543290304819062,
      5.370737417679187,
      5.200379105905621,
      5.032207857263054,
      4.866318749857882,
      4.702925184816401,
      4.542307212931272,
      4.384773456756109,
      4.230660336699975,
      4.080343093457611,
      3.934204180677984,
      3.7926103254133268,
      3.655901520781201,
      3.524379625842656,
      3.3982984513950734,
      3.2778579003643142,
      3.1632007178354664,
      3.0544011331952037,
      2.9514563959371305,
      2.8542911774922635,
      2.7627485890019208,
      2.6765899128389385,
      2.595553746005816,
      2.5193775490627908,
      2.447790141123035,
      2.380523559548943,
      2.3173090105744207,
      2.2578547807214093,
      2.20179465842041,
      2.1487632815002082,
      2.0984282630738775,
      2.0504695037489657,
      2.004604910709249,
      1.9605967757329978,
      1.9182547232883775,
      1.8774164036948955,
      1.837947984178834,
      1.7997340178721948,
      1.7626729265242944,
      1.726683103872069,
      1.691697768739632,
      1.657660757857518,
      1.6245239703762688,
      1.5922497133479565,
      1.5608064716823307,
      1.5301639294721165,
      1.5002935761629663,
      1.4711679706956438,
      1.4427605880677266,
      1.4150459172310723,
      1.3879999998607957,
      1.3615987897848347,
      1.3358178847479438,
      1.3106347935898408,
      1.2860286094034268,
      1.2619797347075725,
      1.2384696877499943,
      1.2154809634835033,
      1.1929969316025109,
      1.1710017554040353,
      1.1494803602648074,
      1.1284193362916803,
      1.1078063757822443,
      1.087629750272855,
      1.06787797179792,
      1.0485395601410024,
      1.0296032054708562,
      1.011057864484233,
      0.9928928128299578,
      0.9750976724945276,
      0.9576624217428088,
      0.9405773939458404,
      0.9238332720526515,
      0.9074210783663114,
      0.891332162212624,
      0.8755581874065517,
      0.8600911191175001,
      0.8449232099721476,
      0.8300469872519302,
      0.8154552411017911,
      0.8011410123276334,
      0.7870975810753731,
      0.7733184555859949,
      0.7597973621441595,
      0.746528235577034,
      0.7335052097288204,
      0.7207226084960001,
      0.7081749380043361,
      0.6958568784163013,
      0.6837632767759898,
      0.6718891394969551,
      0.6602296255568062,
      0.6487800408255742,
      0.6375358316354826,
      0.626492578847709,
      0.6156459925492594,
      0.6049919065429694,
      0.5945262532258148,
      0.5842450267962754,
      0.5741443489295939,
      0.5642206252228882,
      0.5544711680750015,
      0.5448933866840983,
      0.5354844015075887,
      0.5262411843837945,
      0.5171606442172273,
      0.5082396803147184,
      0.49947521474517437,
      0.4908642118738587,
      0.48240368962060237,
      0.4740907262989622,
      0.4659224632419467,
      0.45789610599969166,
      0.4500089242145863,
      0.4422582510145427,
      0.4346414818443976,
      0.42715634359705007,
      0.41980074493917957,
      0.4125724881035373,
      0.40546932955548065,
      0.39848901620454946,
      0.3916293079681377,
      0.3848879908257392,
      0.37826288500515654,
      0.37175184951346046,
      0.3653527845440021,
      0.3590636915775764,
      0.3528827409440456,
      0.3468080964626556,
      0.3408379046334382,
      0.33497031549544526,
      0.3292034957319992,
      0.323535636471279,
      0.3179649575493727,
      0.31248971229218014,
      0.3071082168202621,
      0.3018188286273798,
      0.29661992104004037,
      0.2915098896023633,
      0.2864871554038913,
      0.2815501667706732,
      0.2766974001837064,
      0.2719273608928812,
      0.2672385824573028,
      0.2626296266662864,
      0.2580990831071907,
      0.25364556860033344,
      0.24926772666762084,
      0.24496411605791577,
      0.24073318363131302,
      0.23657347680036758,
      0.23248363998215987,
      0.2284623875363433,
      0.22450848605458668,
      0.22062074338160312,
      0.2167980010594964,
      0.21303918906932134,
      0.20934359756739612,
      0.20571055232349156,
      0.20213923429977346,
      0.19862873957944316,
      0.19517811702447038,
      0.1917863313738062,
      0.18845227744571946,
      0.1851748916085863,
      0.18195315236845178,
      0.1787860717786411,
      0.17567268911705847,
      0.17261206705784396,
      0.16960328921022663,
      0.1666454582027173,
      0.1637376944532406,
      0.16087913518217126,
      0.15806893388271262,
      0.15530625945204451,
      0.15259029604326743,
      0.14992024270369042,
      0.1472953128816737,
      0.1447147338327664,
      0.14217774664889035,
      0.1396836059829668,
      0.1372315796271138,
      0.13482094845322073,
      0.132451005793271,
      0.13012105764494905,
      0.12783042216436608,
      0.12557842943028227,
      0.12336442130811037,
      0.12118775117783799,
      0.11904778369142074,
      0.11694389463492938,
      0.11487547066648837,
      0.11284190917149972,
      0.11084261796078544,
      0.10887701517434396,
      0.10694452893808401,
      0.10504459747333852,
      0.10317666857119279,
      0.10134019963927171,
      0.09953465751933006,
      0.09775951816472545,
      0.0960142666348347,
      0.09429839685916162,
      0.09261141146349847,
      0.09095282153659637,
      0.08932214662300546,
      0.08771891463687193,
      0.08614266157892576,
      0.08459293143445301,
      0.08306927584416396,
      0.08157125408549701,
      0.08009843322669652,
      0.0786503875133242,
      0.0772266985310295,
      0.07582695520650821,
      0.07445075329098919,
      0.07309769540562217,
      0.07176739103517005,
      0.0704594562698193,
      0.06917351383159369,
      0.06790919276207226,
      0.06666612845468821,
      0.06544396252527677,
      0.06424234269621779,
      0.06306092271550995,
      0.06189936201481427,
      0.060757325890966836,
      0.05963448548338323,
      0.05853051734047399,
      0.05744510364857141,
      0.05637793192840986,
      0.0553286948945137,
      0.0542970905376019,
      0.05328282193073719,
      0.0522855972771686,
      0.05130512968172867,
      0.05034113704540953,
      0.04939334206383486,
      0.04846147213584647,
      0.04754525927049891,
      0.04664444003386095,
      0.04575875532542844,
      0.04488795053022858,
      0.04403177534437536,
      0.04318998369658563,
      0.04236233369530326,
      0.041548587464648054,
      0.040748511138432406,
      0.03996187475528669,
      0.0391884523594938,
      0.03842802179866205,
      0.03768036456501537,
      0.03694526591146845,
      0.03622251465086002,
      0.035511903268275934,
      0.03481322761450539,
      0.03412628697545328,
      0.033450884128943294,
      0.032786825147936856,
      0.03213391943250045,
      0.031491979437038985,
      0.03086082086672083,
      0.030240262530559406,
      0.029630126333629634,
      0.029030237141051966,
      0.02844042281923863,
      0.02786051402763198,
      0.02729034421849791,
      0.026729749806639058,
      0.026178569892393814,
      0.025636646243241138,
      0.025103823438582838,
      0.024579948426967414,
      0.024064870977311647,
      0.02355844323103855,
      0.023060519861548015,
      0.022570958077875937,
      0.022089617428614285,
      0.021616359729223652,
      0.02115104933561981,
      0.0206935526635616,
      0.02024373838477623,
      0.019801477523326474,
      0.019366643255963052,
      0.018939110695154297,
      0.018518757246129874,
      0.018105462361942742,
      0.017699107497470452,
      0.017299576071093618,
      0.016906753446954758,
      0.016520526937397743,
      0.016140785825658286,
      0.015767421199198994,
      0.01540032596195959,
      0.015039394738738238,
      0.014684523971142935,
      0.01433561193152449,
      0.013992558553280934,
      0.013655265464501,
      0.013323635958652682,
      0.012997574939942759,
      0.012676988823848752,
      0.012361785666226604,
      0.012051875178347844,
      0.011747168270752568,
      0.011447577594524364,
      0.011153017370583693,
      0.010863403078575437,
      0.010578651723411278,
      0.010298681528642845,
      0.010023412239319006,
      0.009752764889610455,
      0.009486661893959494,
      0.009225026939827206,
      0.008967784987409407,
      0.008714862286772531,
      0.008466186260472101,
      0.008221685676614802,
      0.007981290382112165,
      0.007744931472917508,
      0.00751254119510989,
      0.007284052901858089,
      0.0070594011227628805,
      0.006838521357696344,
      0.00662135019895771,
      0.006407825400695414,
      0.006197885850853878,
      0.00599147138207354,
      0.005788522650337271,
      0.005588981385386631,
      0.005392790480056545,
      0.005199893791680904,
      0.005010235927952191,
      0.004823762475081688,
      0.004640419885820422,
      0.004460155612903402,
      0.004282917985242981,
      0.004108656310799382,
      0.003937320594799798,
      0.003768861744085938,
      0.003603231336463383,
      0.003440381901430757,
      0.0032802667208165436,
      0.0031228399003180836,
      0.002968056392913268,
      0.0028158716684386904,
      0.0026662422456832234,
      0.0025191251398103626,
      0.00237447806272276,
      0.0022322597023183488,
      0.0020924292229453742,
      0.0019549465316889892,
      0.0018197722477384744,
      0.0016868675671852765,
      0.0015561944416861788,
      0.001427715320483634,
      0.0013013933913206396,
      0.0011771923913010184,
      0.0010550767572880516,
      0.0009350114860833563,
      0.0008169621688449443,
      0.0007008949450670932,
      0.0005867764843115298,
      0.0004745741223172998,
      0.000364255643688673,
      0.00025578951827845566,
      0.00014914448449302088,
      4.428999925806358e-05,
      -5.88039773816739e-05,
      -0.00016016702388313414,
      -0.00025982811874593174,
      -0.0003578158371524154,
      -0.00045415831031106094,
      -0.0005488831642857705,
      -0.000642017660157854,
      -0.0007335883940800777,
      -0.0008236216178236605,
      -0.0009121431510205168,
      -0.0009991783999590235,
      -0.001084752285367382,
      -0.0011688893849732128,
      -0.0012516137946146674,
      -0.0013329492099156597,
      -0.0014129189240837585,
      -0.0014915458748393615,
      -0.001568852721672309,
      -0.0016448615276983762,
      -0.0017195942025803137,
      -0.0017930721367429164,
      -0.001865316387286684,
      -0.001936347633303373,
      -0.0020061862827493383,
      -0.0020748522977779797,
      -0.002142365400561759,
      -0.0022087450616440347,
      -0.002274010099234569,
      -0.002338179345106124,
      -0.002401271177209953,
      -0.002463303668217542,
      -0.00252429466937169,
      -0.002584261556099169,
      -0.002643221531679255,
      -0.0027011915548000994,
      -0.0027581881706899977,
      -0.002814227811572931,
      -0.0028693266384280415,
      -0.0029235003182663997,
      -0.0029767644101489606,
      -0.0030291341969818754,
      -0.0030806245485538986,
      -0.003131250336147477,
      -0.0031810261155353343,
      -0.003229966165076751,
      -0.0032780845734563307,
      -0.0033253951679488468,
      -0.003371911390543647,
      -0.0034176465796990686,
      -0.0034626138064967928,
      -0.003506826046686629,
      -0.0035502959708165493,
      -0.0035930359496556758,
      -0.0036350582490044915,
      -0.0036763749250629655,
      -0.0037169978334066003,
      -0.003756938657040835,
      -0.003796208824540461,
      -0.00383481972688815,
      -0.003872782412266142,
      -0.003910107763005057,
      -0.003946806487462907,
      -0.003982889066620975,
      -0.004018365801589218,
      -0.004053246815911234,
      -0.004087542127106257,
      -0.004121261584184812,
      -0.004154414861827485,
      -0.004187011511074794,
      -0.004219060863295458,
      -0.004250571996691872,
      -0.0042815540202127,
      -0.004312015854745646,
      -0.004341966261864459,
      -0.004371413820904843,
      -0.004400366930926845,
      -0.004428833900841974,
      -0.00445682288030307,
      -0.004484341955282997,
      -0.004511398931697108,
      -0.004538001627056117,
      -0.004564157671952148,
      -0.004589874552853867,
      -0.004615159743239202,
      -0.00464002043387818,
      -0.0046644637074200685,
      -0.004688496515398871,
      -0.004712125756414162,
      -0.004735358245860695,
      -0.0047582006536548175,
      -0.004780659543108698
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334281827902585,
      10.092078026818461,
      9.842974813204693,
      9.589848123029011,
      9.335320750098552,
      9.081656168292174,
      8.830739056053577,
      8.584060588629242,
      8.342714700327765,
      8.107423088874446,
      7.878574339053224,
      7.656273399545113,
      7.440396675128577,
      7.230648152512029,
      7.026612840793428,
      6.827804970027968,
      6.633709536838915,
      6.443816704989418,
      6.257649301817048,
      6.074784590750981,
      5.894866097678094,
      5.717599226937004,
      5.542752845165553,
      5.370179389370305,
      5.199802104096068,
      5.031613741257714,
      4.865710190122713,
      4.70230555468076,
      4.541679901904474,
      4.384141874846234,
      4.230028044533107,
      4.079713848737627,
      3.9335815885233543,
      3.791997772933903,
      3.655302118936488,
      3.5237961684909123,
      3.3977333754552967,
      3.2773132580643467,
      3.1626781628759355,
      3.05390175147825,
      2.95098066025464,
      2.8538390587349145,
      2.7623193664305448,
      2.676182447546164,
      2.595166701931921,
      2.519009390793323,
      2.4474392901223165,
      2.3801884505461612,
      2.3169879747634936,
      2.257545964919558,
      2.2014958228439205,
      2.148472397589284,
      2.098143313807194,
      2.050188687073337,
      2.004326783748793,
      1.9603202691915287,
      1.9179790430490105,
      1.87714095697006,
      1.8376723479250963,
      1.7994577766870137,
      1.7623957527596248,
      1.7264047818787567,
      1.691418160412756,
      1.657379778286243,
      1.6242417089489023,
      1.5919665989464924,
      1.5605228413536307,
      1.529880015792525,
      1.5000095488908765,
      1.4708839435490153,
      1.4424766378965137,
      1.4147620980146478,
      1.3877163643366728,
      1.3613153957196122,
      1.3355347786281373,
      1.3103520095098522,
      1.2857461739370868,
      1.261697669268551,
      1.238188011340305,
      1.2151996936945468,
      1.1927160847334315,
      1.1707213477317773,
      1.1492004166725047,
      1.128139892997115,
      1.1075274679557068,
      1.087351416334146,
      1.0676002421857957,
      1.0482624599465065,
      1.0293267565876132,
      1.010782086617045,
      0.992617724788256,
      0.9748232920432092,
      0.957388765942968,
      0.9403044798332728,
      0.9235611166389484,
      0.9071496983691882,
      0.8910615746863007,
      0.8752884091357898,
      0.8598221664034682,
      0.8446550991142855,
      0.8297797347110408,
      0.8151888633941151,
      0.8008755254989379,
      0.7868330007714619,
      0.7730547974645205,
      0.7595346417142177,
      0.7462664682305236,
      0.7332444103511468,
      0.7204627920059099,
      0.707916119195153,
      0.6955990716075848,
      0.6835064959116901,
      0.6716333985109499,
      0.6599749383978881,
      0.6485264210658969,
      0.6372832923986322,
      0.6262411327517309,
      0.6153956519438938,
      0.6047426837888764,
      0.5942781596417571,
      0.5839980735029301,
      0.5738985470739237,
      0.5639760269610146,
      0.5542278796706505,
      0.5446514758407849,
      0.5352439123985205,
      0.5260021457688392,
      0.5169230751626145,
      0.5080035934566224,
      0.499240618812984,
      0.49063111287097977,
      0.48217209198916033,
      0.47386063313175125,
      0.4656938768904563,
      0.4576690281388175,
      0.44978335625611543,
      0.442034193852041,
      0.4344189474928894,
      0.4269353593507176,
      0.4195813269048982,
      0.41235464545988443,
      0.4052530671002697,
      0.39827433588977784,
      0.39141620958056406,
      0.38467647298696345,
      0.37805294560265706,
      0.37154348587094593,
      0.3651459934331723,
      0.3588584785615269,
      0.3526791114034269,
      0.3466060517993566,
      0.3406374438477356,
      0.3347714359878562,
      0.3290061937274028,
      0.3233399073465454,
      0.3177707960023042,
      0.3122971136236894,
      0.30691717728945495,
      0.30162934341397674,
      0.2964319847073381,
      0.2913234960971451,
      0.2863022982933395,
      0.28136683931022033,
      0.2765155955090251,
      0.2717470718525505,
      0.26705980186288186,
      0.26245234715793375,
      0.25792329715715107,
      0.2534712683863862,
      0.24909490433858902,
      0.24479276954333581,
      0.24056331086894298,
      0.23640507366633876,
      0.23231670098358415,
      0.22829690606478792,
      0.22434445502864736,
      0.22045815514790001,
      0.21663684763451374,
      0.2128794579913125,
      0.20918527031942397,
      0.20555361403545544,
      0.20198367230248807,
      0.19847454275632495,
      0.19502527509177384,
      0.19163483077922439,
      0.18830210488685942,
      0.18502603542556323,
      0.1818056020091558,
      0.1786398171911182,
      0.17552772068367267,
      0.1724683754729343,
      0.16946086537752672,
      0.1665042931202961,
      0.16359777918030313,
      0.1607404607743161,
      0.15793149133899065,
      0.15517003988377942,
      0.15245529064557192,
      0.1497864425169433,
      0.14716270872372744,
      0.1445833166239439,
      0.14204750731724,
      0.13955453537544107,
      0.13710366864889315,
      0.13469418797795185,
      0.1323253867699651,
      0.12999657103316042,
      0.1277070588687752,
      0.12545618030484615,
      0.12324327715955842,
      0.1210677028197917,
      0.11892882199803817,
      0.11682601055639703,
      0.11475865510459266,
      0.11272615299445812,
      0.11072791210078947,
      0.10876335058475929,
      0.10683189671615406,
      0.10493298849959828,
      0.10306607385412873,
      0.10123061021464637,
      0.09942606442604986,
      0.09765191258581965,
      0.09590763959339069,
      0.09419273943532484,
      0.09250671475674513,
      0.09084907683199188,
      0.08921934521397333,
      0.08761704777537463,
      0.08604172052708665,
      0.084492907477758,
      0.08297016038762553,
      0.08147303862253717,
      0.08000110910499077,
      0.07855394620240597,
      0.07713113163593545,
      0.07573225415730199,
      0.07435690959110419,
      0.07300470065180768,
      0.0716752369023842,
      0.07036813450913619,
      0.06908301621426492,
      0.0678195110904099,
      0.0665772545475046,
      0.06535588830848038,
      0.06415506011843268,
      0.0629744236417929,
      0.061813638488677505,
      0.06067237007595698,
      0.05955028951288266,
      0.058447073475658994,
      0.057362404077538134,
      0.05629596889899931,
      0.05524746060541508,
      0.054216577391871676,
      0.0532030223797028,
      0.052206503785483444,
      0.051226734711421945,
      0.050263433173425326,
      0.04931632188708788,
      0.048385128405134155,
      0.04746958485009814,
      0.04656942765804892,
      0.04568439792369438,
      0.044814241006020376,
      0.0439587066434745,
      0.04311754888502262,
      0.04229052580238042,
      0.04147739956414371,
      0.040677936398344446,
      0.039891906500608185,
      0.039119083925501875,
      0.03835924658180123,
      0.037612175863775736,
      0.03687765719312707,
      0.03615547944343318,
      0.035445435103709906,
      0.03474732013750741,
      0.03406093398229628,
      0.03338607935262133,
      0.03272256227839236,
      0.0320701922896652,
      0.031428781978310505,
      0.030798147093792676,
      0.03017810643416437,
      0.029568481965752062,
      0.02896909858549998,
      0.028379784130472277,
      0.02780036939848031,
      0.027230688052962197,
      0.026670576469097193,
      0.02611987381297353,
      0.025578421838925825,
      0.025046065116682458,
      0.02452265084364221,
      0.024008028698461702,
      0.023502050895482834,
      0.023004572166635817,
      0.022515449758888455,
      0.022034543250822408,
      0.021561714588468686,
      0.021096827958314773,
      0.02063975001255193,
      0.020190349595050734,
      0.019748497660344252,
      0.01931406733447122,
      0.018886934003445485,
      0.018466974964911523,
      0.01805406969181799,
      0.017648099640100494,
      0.017248948356964684,
      0.01685650121521731,
      0.01647064565119626,
      0.01609127095267955,
      0.01571826832128309,
      0.015351530668423851,
      0.014990952736648721,
      0.014636431017618195,
      0.014287863651684116,
      0.013945150677516692,
      0.013608193786409891,
      0.013276896293126306,
      0.012951163119401692,
      0.012630900898239492,
      0.012316017595104525,
      0.012006422840135022,
      0.011702027930437182,
      0.011402745469082109,
      0.01110848953296179,
      0.010819175670625923,
      0.010534720952617399,
      0.010255043685113381,
      0.009980063687634771,
      0.00970970197178978,
      0.009443880959717113,
      0.009182524535917943,
      0.008925557653069913,
      0.008672906533960896,
      0.008424498706399814,
      0.008180262858766146,
      0.00794012897375082,
      0.007704028104427936,
      0.0074718925936913495,
      0.007243655815079886,
      0.007019252286499836,
      0.006798617680670467,
      0.0065816885471813615,
      0.006368402674145871,
      0.006158698907536598,
      0.005952517172300459,
      0.005749798268180308,
      0.00555048402556683,
      0.005354517178693254,
      0.00516184157379743,
      0.004972401935969786,
      0.004786143830148127,
      0.0046030137973594,
      0.004422959463064031,
      0.004245929083421889,
      0.0040718719466677775,
      0.003900738122923247,
      0.003732478516530928,
      0.0035670448195065344,
      0.0034043896146364705,
      0.0032444661129616918,
      0.003087228453383439,
      0.0029326315545390373,
      0.0027806310782829743,
      0.002631183337968314,
      0.0024842455340094295,
      0.002339775566946077,
      0.0021977318720155254,
      0.0020580737713382907,
      0.0019207612253007943,
      0.0017857547132449838,
      0.0016530156129486513,
      0.0015225058897873787,
      0.0013941879221531783,
      0.0012680250597556062,
      0.0011439811807004048,
      0.0010220206134350569,
      0.0009021083211255825,
      0.0007842098720375216,
      0.0006682914891967425,
      0.0005543198920935835,
      0.0004422623950808819,
      0.000332086836334732,
      0.000223761566022539,
      0.00011725557669354238,
      1.2538355863454773e-05,
      -9.042011274163414e-05,
      -0.00019164937173547444,
      -0.00029117852324152184,
      -0.00038903615870872427,
      -0.0004852502931143181,
      -0.0005798485511403747,
      -0.0006728581612501301,
      -0.0007643056426904896,
      -0.0008542172531536916,
      -0.0009426187928536592,
      -0.0010295356548414181,
      -0.001114992797705086,
      -0.001199014779729119,
      -0.0012816256199916821,
      -0.0013628490327986175,
      -0.001442708253279557,
      -0.0015212262432826131,
      -0.0015984255271073893,
      -0.0016743282226487032,
      -0.0017489562300530756,
      -0.0018223309486981145,
      -0.0018944732976027053,
      -0.001965404001028178,
      -0.002035143479319075,
      -0.002103711667847444,
      -0.002171128299079799,
      -0.0022374127700791648,
      -0.002302583970434527,
      -0.002366660655319715,
      -0.0024296613098495384,
      -0.0024916038458162935,
      -0.002552506079403743,
      -0.002612385514598855,
      -0.0026712592657102243,
      -0.002729144220064584,
      -0.0027860569770095395,
      -0.0028420138493830435,
      -0.0028970309022422944,
      -0.002951123952281675,
      -0.0030043085662903608,
      -0.0030565999759231783,
      -0.003108013194974617,
      -0.003158562906345897,
      -0.0032082636851918874,
      -0.003257129757009815,
      -0.0033051751746211826,
      -0.0033524136950587344,
      -0.0033988588462374393,
      -0.00344452398017889,
      -0.003489422166322896,
      -0.0035335663320262742,
      -0.0035769691351444,
      -0.0036196429436608996,
      -0.0036615999988746967,
      -0.003702852482439368,
      -0.0037434121634562015,
      -0.003783290629286123,
      -0.0038224993117815464,
      -0.003861049385978118,
      -0.003898952017429694,
      -0.003936218113441555,
      -0.0039728583660163744,
      -0.004008883331981217,
      -0.004044303232379886,
      -0.004079128241206583,
      -0.004113368302420884,
      -0.004147033296216708,
      -0.004180132982381772,
      -0.004212676822381546,
      -0.004244674054726696,
      -0.0042761338584271285,
      -0.0043070653380829675,
      -0.004337477273358651,
      -0.004367378338047676,
      -0.004396777165848816,
      -0.004425682307943534,
      -0.0044541020121429305,
      -0.004482044471522838,
      -0.004509517665816109,
      -0.004536529386246821,
      -0.004563087450644225,
      -0.004589199479794195,
      -0.004614873010017464,
      -0.004640115369939541,
      -0.004664933804829207,
      -0.00468933546056893,
      -0.004713327297005899,
      -0.004736916179012209,
      -0.00476010895433782,
      -0.004782912200514782,
      -0.004805332511671548
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334279676515052,
      10.092068102077548,
      9.84295176618207,
      9.589806819996591,
      9.335257174028012,
      9.081567543505388,
      8.830623647923256,
      8.583917390707859,
      8.342543233152462,
      8.107223227865173,
      7.878346182343664,
      7.656017165589372,
      7.440112632113838,
      7.230336576704175,
      7.026273999001257,
      6.827439125943151,
      6.633316972336425,
      6.443397748231879,
      6.257204392301444,
      6.074314338147725,
      5.894371309269712,
      5.717080953853468,
      5.542212354764715,
      5.36961819148923,
      5.1992217975100035,
      5.0310162023561835,
      4.865098108065315,
      4.701682313227018,
      4.541048897919102,
      4.383506527106072,
      4.229391928043643,
      4.079080736358503,
      3.9329551010774155,
      3.791381312585091,
      3.6546988098207294,
      3.5232088179812395,
      3.397164432680505,
      3.2767647868704746,
      3.1621518274112708,
      3.053398645972263,
      2.9505012640230865,
      2.8533833482006585,
      2.7618866244180005,
      2.675771537225828,
      2.5947762885496384,
      2.518637939393011,
      2.447085222588199,
      2.379850200418714,
      2.3166638713009027,
      2.2572341525074338,
      2.2011940587629626,
      2.1481786505811384,
      2.0978555639594405,
      2.049905128776247,
      2.0040459737016163,
      1.9600411365991457,
      1.9177007912250144,
      1.8768629914220785,
      1.837394243677715,
      1.7991791159241681,
      1.7621162050138217,
      1.7261241296210763,
      1.691136263551561,
      1.6570965498884185,
      1.6239573019258933,
      1.5916814722766603,
      1.56023729668972,
      1.5295942616670073,
      1.4997237391406288,
      1.470598180704839,
      1.4421909920148799,
      1.4144766178397534,
      1.3874310989910772,
      1.3610304001717761,
      1.3352500971889343,
      1.3100676742717228,
      1.2854622102635027,
      1.2614140979079336,
      1.2379048503176189,
      1.2149169602349628,
      1.192433795285914,
      1.1704395181788545,
      1.14891907177906,
      1.127859069094512,
      1.1072471993959399,
      1.0870717407077872,
      1.0673211890453975,
      1.047984053901386,
      1.0290490190515384,
      1.0105050370244597,
      0.9923413813328561,
      0.9745476723458376,
      0.9571138869889274,
      0.9400303584518351,
      0.9232877693549553,
      0.9068771420014693,
      0.8907898256071286,
      0.8750174837363599,
      0.8595520808306419,
      0.8443858695518713,
      0.8295113772399136,
      0.814921393837439,
      0.8006089602712801,
      0.786567355857835,
      0.7727900885056977,
      0.7592708842558792,
      0.746003677272769,
      0.732982600851593,
      0.7202019787598986,
      0.707656316449734,
      0.6953402939857002,
      0.6832487576983557,
      0.6713767134115338,
      0.6597193198441897,
      0.6482718820529697,
      0.6370298457437277,
      0.6259887910879709,
      0.6151444273490388,
      0.6044925880646156,
      0.5940292040233829,
      0.5837502690973767,
      0.5736519045762213,
      0.5637305983746828,
      0.5539837716099392,
      0.5444087562035075,
      0.5350026248124943,
      0.5257623187514555,
      0.5166847275094635,
      0.5077667377846612,
      0.4990052637539213,
      0.49039726453229765,
      0.48193975463638433,
      0.47362980990899833,
      0.46546457002247055,
      0.4574412393777842,
      0.4495570867101725,
      0.44180944423877894,
      0.4341957299062804,
      0.4267137008597544,
      0.41936124346824843,
      0.4121361461852047,
      0.4050361566131408,
      0.39805901589411824,
      0.3912024799970779,
      0.38446433239371186,
      0.3778423916665987,
      0.3713345156451356,
      0.3649386034186234,
      0.35865267411310225,
      0.3524748979087141,
      0.34640343067879864,
      0.34043641387771584,
      0.3345719943436853,
      0.32880833640676843,
      0.323143629483624,
      0.3175760923033473,
      0.3121039794079591,
      0.30672560875486193,
      0.30143933570163134,
      0.29624353212256976,
      0.2911365925413319,
      0.286116937233862,
      0.2811830138987943,
      0.2763332986584906,
      0.27156629626043977,
      0.2668805401201978,
      0.2622745917926482,
      0.257747040573592,
      0.2532965029296031,
      0.24892162222928482,
      0.24462096834489613,
      0.24039298850218768,
      0.23623622575455103,
      0.23214932174774652,
      0.22813098886870486,
      0.22417999260137392,
      0.22029513984083343,
      0.2164752716499973,
      0.2127193088411226,
      0.20902652943869926,
      0.2053962666117046,
      0.2018277057281434,
      0.19831994567547154,
      0.19487203703570763,
      0.1914829381151518,
      0.1881515442598612,
      0.18487679508726546,
      0.18165767125741492,
      0.1784931860925626,
      0.1753823798238349,
      0.17232431566946466,
      0.1693180773809977,
      0.1663627677207791,
      0.16345750728223485,
      0.1606014333752452,
      0.15779369942557034,
      0.15503347440965887,
      0.1523199425152638,
      0.149652302619631,
      0.14702976793461797,
      0.14445156586264424,
      0.14191693751658954,
      0.13942513748796628,
      0.13697543359589423,
      0.13456710662976282,
      0.1321994499957192,
      0.12987176955893645,
      0.12758338354872198,
      0.1253336220296504,
      0.12312182682215458,
      0.12094735126150583,
      0.11880956008132945,
      0.11670782914855218,
      0.11464154511200003,
      0.1126101053841133,
      0.11061291778157033,
      0.1086494004283663,
      0.10671898161585316,
      0.10482109944143958,
      0.1029552017783281,
      0.10112074608669501,
      0.09931719923119775,
      0.09754403726640119,
      0.09580074525273179,
      0.0940868171668288,
      0.09240175573397395,
      0.0907450721818899,
      0.08911628615125934,
      0.08751492553633503,
      0.08594052629375856,
      0.08439263245152871,
      0.08287079580216743,
      0.08137457582045102,
      0.07990353945869773,
      0.07845726105432402,
      0.07703532242906135,
      0.07563731246121932,
      0.07426282696651869,
      0.07291146882611534,
      0.07158284754208663,
      0.07027657926228427,
      0.06899228674635839,
      0.06772959915861798,
      0.06648815199538359,
      0.06526758698153348,
      0.06406755185596157,
      0.0628877004022824,
      0.06172769230372034,
      0.06058719303957738,
      0.05946587371678562,
      0.05836341099533111,
      0.05727948712706075,
      0.05621378966778528,
      0.055166011511828796,
      0.054135850822303336,
      0.05312301086018139,
      0.052127199775181716,
      0.05114813075528816,
      0.050185521892933786,
      0.0492390959614998,
      0.04830858041659098,
      0.047393707347477304,
      0.04649421339238781,
      0.04560983970910758,
      0.04474033184814444,
      0.04388543958523332,
      0.043044916897376495,
      0.04221852190673421,
      0.0414060169011057,
      0.040607168115371635,
      0.03982174584330354,
      0.03904952411619687,
      0.03829028088875997,
      0.03754379781071309,
      0.036809860216047645,
      0.03608825699907837,
      0.035378780637744384,
      0.03468122725636333,
      0.0339953963203183,
      0.03332109061734318,
      0.032658116353459235,
      0.03200628298841917,
      0.03136540319809299,
      0.03073529274123201,
      0.030115770535298507,
      0.029506658540725435,
      0.02890778177835788,
      0.028318968237103778,
      0.02774004864724932,
      0.027170856588782,
      0.02661122853410231,
      0.026061003698794105,
      0.025520024010646486,
      0.02498813410868901,
      0.024465181155447335,
      0.023951014926085062,
      0.023445487736012554,
      0.022948454327258856,
      0.022459772006464332,
      0.021979300356432387,
      0.021506901381743194,
      0.021042439362976305,
      0.02058578090570068,
      0.020136794812681144,
      0.019695352193369514,
      0.019261326404672558,
      0.018834592713828313,
      0.018415028497060944,
      0.018002513401448223,
      0.017596928848259582,
      0.017198158299747565,
      0.01680608733057237,
      0.01642060336395868,
      0.016041595758405233,
      0.015668955660377862,
      0.015302576067657997,
      0.014942351740362883,
      0.014588179323138536,
      0.014239957117958064,
      0.013897585073443228,
      0.013560964990685626,
      0.013230000182661903,
      0.012904595553169388,
      0.012584657713852983,
      0.012270094891406824,
      0.011960816713982296,
      0.011656734289448741,
      0.011357760365615773,
      0.011063809094480825,
      0.010774796130698958,
      0.010490638580465785,
      0.010211254841150914,
      0.00993656461808133,
      0.009666489125077901,
      0.009400950736968524,
      0.009139873397808272,
      0.008883181978662677,
      0.008630802854735435,
      0.008382663514288218,
      0.008138692847077605,
      0.007898820725119875,
      0.0076629782875487,
      0.0074310978481974925,
      0.00720311287843356,
      0.0069789579175905826,
      0.006758568678983448,
      0.006541881848251664,
      0.006328835261221191,
      0.006119367831711354,
      0.005913419279889607,
      0.00571093051933023,
      0.0055118434121949255,
      0.005316100808344195,
      0.005123646499200625,
      0.004934425276851713,
      0.004748382927451944,
      0.004565466012019403,
      0.004385621872985385,
      0.0042087990127922,
      0.004034946707352444,
      0.003864014997540732,
      0.003695954836890433,
      0.0035307179115118712,
      0.003368256845078907,
      0.0032085249810462815,
      0.0030514765115245705,
      0.0028970663413552065,
      0.0027452500893850647,
      0.002595984238789203,
      0.002449225959706197,
      0.0023049330813910657,
      0.0021630641745456567,
      0.0020235785668567983,
      0.0018864361069457903,
      0.0017515974967320389,
      0.0016190240415401799,
      0.0014886776700714685,
      0.0013605211030777078,
      0.0012345174523500605,
      0.0011106305722081145,
      0.0009888248667546601,
      0.0008690654236743255,
      0.000751317883417461,
      0.0006355483743725509,
      0.0005217237298243856,
      0.0004098112494114625,
      0.0002997788507942084,
      0.00019159491839781885,
      8.522833799985397e-05,
      -1.935142804780568e-05,
      -0.00012217431443406845,
      -0.0002232698529755884,
      -0.00032266711059944915,
      -0.0004203946317657077,
      -0.0005164802831684107,
      -0.0006109517512131535,
      -0.0007038361864679442,
      -0.000795160195558691,
      -0.0008849499966929607,
      -0.0009732313698614397,
      -0.0010600297071176967,
      -0.0011453699978382032,
      -0.001229276748615521,
      -0.0013117739841956007,
      -0.00139288529076239,
      -0.0014726339658566693,
      -0.0015510429253377952,
      -0.0016281347044020602,
      -0.0017039314186937692,
      -0.0017784548767296616,
      -0.0018517263663050823,
      -0.0019237669863699598,
      -0.00199459734811032,
      -0.0020642378594516,
      -0.0021327083280459807,
      -0.002200028554508936,
      -0.0022662178690823673,
      -0.0023312952017181467,
      -0.002395279276736345,
      -0.002458188603734769,
      -0.002520041054017386,
      -0.0025808544144891752,
      -0.0026406462727425768,
      -0.002699433717328171,
      -0.0027572334366554297,
      -0.002814062127939322,
      -0.0028699361428386684,
      -0.0029248715646072354,
      -0.002978884124868867,
      -0.00303198929060531,
      -0.0030842024269626825,
      -0.0031355383612319612,
      -0.003186011797318395,
      -0.003235637367120107,
      -0.0032844292425534805,
      -0.0033324015222474866,
      -0.0033795678922986104,
      -0.0034259418836666074,
      -0.0034715367534728352,
      -0.003516365632435559,
      -0.003560441423828709,
      -0.003603776771488248,
      -0.003646384141205588,
      -0.0036882756278712446,
      -0.0037294634229383234,
      -0.0037699593849728893,
      -0.003809775067391614,
      -0.0038489219036891955,
      -0.0038874110995248358,
      -0.0039252537341928784,
      -0.003962460657608122,
      -0.003999042532909997,
      -0.00403500989123017,
      -0.004070373090206305,
      -0.004105142195631194,
      -0.004139327218248387,
      -0.004172937968439695,
      -0.004205984018434151,
      -0.004238474994505173,
      -0.00427042017567561,
      -0.004301828530024638,
      -0.004332709202028288,
      -0.004363071000815901,
      -0.0043929227405217494,
      -0.004422273045664437,
      -0.004451130302330542,
      -0.004479502837462133,
      -0.004507398748000623,
      -0.004534826015392389,
      -0.0045617925749676345,
      -0.004588306143663617,
      -0.004614374332942953,
      -0.00464000457687704,
      -0.004665204212304181,
      -0.004689980564793244,
      -0.004714340767565594,
      -0.004738291821342566,
      -0.004761840456316013,
      -0.004784993457650584,
      -0.004807757450293385,
      -0.004830138982415736
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334277522584388,
      10.09205816422303,
      9.842928686466607,
      9.589765459141514,
      9.33519350995299,
      9.081478800577573,
      8.830508091632554,
      8.583774011798733,
      8.342371550458344,
      8.107023117958576,
      7.8781177440054195,
      7.65576061780427,
      7.439828242877575,
      7.2300246215475426,
      7.025934747474281,
      6.8270728447535705,
      6.632923943302616,
      6.442978300706367,
      6.256758967491784,
      6.07384354683467,
      5.893875959347243,
      5.7165620986515036,
      5.541671261354019,
      5.3690563696548566,
      5.198640847447462,
      5.030418113360024,
      4.864485661804509,
      4.701058867105986,
      4.5404178254943695,
      4.382871227259246,
      4.228755957572898,
      4.07844785155434,
      3.932328907424519,
      3.7907651986966515,
      3.6540958882595196,
      3.5226218846157007,
      3.396595926576302,
      3.2762167629144465,
      3.1616259425828055,
      3.052895987878467,
      2.9500223055703128,
      2.852928060601974,
      2.761454285730527,
      2.675361008268793,
      2.5943862331901952,
      2.5182668216993065,
      2.446731464107786,
      2.3795122357084124,
      2.316340031587316,
      2.2569225845528087,
      2.2008925221729028,
      2.147885116630946,
      2.097568015778732,
      2.0496217647548076,
      2.0037653520051886,
      1.9597621876466917,
      1.9174227201129375,
      1.876585205775811,
      1.8371163201560987,
      1.7989006374013405,
      1.7618368419368209,
      1.7258436645818847,
      1.690854557006202,
      1.6568135157762776,
      1.623673093237168,
      1.5913965482421337,
      1.5599519590338338,
      1.5293087191707024,
      1.4994381459655046,
      1.4703126400890316,
      1.4419055739870548,
      1.4141913708397953,
      1.387146071866741,
      1.3607456473922832,
      1.3349656633591016,
      1.3097835922665244,
      1.2851785048367272,
      1.2611307897391184,
      1.2376219576493284,
      1.2146345000848782,
      1.1921517841320306,
      1.170157972525763,
      1.1486380157755076,
      1.127578539100084,
      1.106967230130449,
      1.0867923699101183,
      1.0670424464513029,
      1.0477059637794794,
      1.0287716026625737,
      1.0102283137869765,
      0.9920653696121949,
      0.9742723897152241,
      0.9568393507267673,
      0.9397565855636518,
      0.9230147768326841,
      0.9066049463033202,
      0.8905184431383957,
      0.8747469308047084,
      0.8592823738921423,
      0.8441170250860617,
      0.8292434116612349,
      0.8146543231382612,
      0.8003428000057163,
      0.7863021218239653,
      0.7725257963461768,
      0.7590075494276233,
      0.7457413149012759,
      0.7327212259032283,
      0.7199416059985144,
      0.7073969607119339,
      0.6950819695294512,
      0.68299147848007,
      0.6711204929704389,
      0.6594641715309818,
      0.6480178189685452,
      0.6367768805905861,
      0.6257369362915494,
      0.6148936952958243,
      0.6042429908730456,
      0.5937807530512804,
      0.5835029749220646,
      0.5734057778285122,
      0.5634857117698912,
      0.5537402230484593,
      0.5441666084341475,
      0.5347619185071378,
      0.5255230804584552,
      0.5164469748062473,
      0.5075304826140461,
      0.49877051415669527,
      0.4901640263093359,
      0.4817080319026116,
      0.4733996056861969,
      0.46523588654180087,
      0.45721407811971154,
      0.44933144858808755,
      0.44158532985154403,
      0.4339731512277964,
      0.4264926849897764,
      0.41914180634365006,
      0.4119182967620978,
      0.4048198994390842,
      0.3978443525915321,
      0.39098941042664187,
      0.3842528551196204,
      0.3776325043121552,
      0.37112621521464684,
      0.3647318866387042,
      0.35844754645760296,
      0.35227136456150265,
      0.3462014929782764,
      0.34023607051218757,
      0.33437324227948495,
      0.3286111714885203,
      0.3229480468880963,
      0.31738208664373824,
      0.31191154577458835,
      0.3065347433105981,
      0.30125003354232577,
      0.296055787675993,
      0.2909503996303986,
      0.2859322891347224,
      0.2809999038404998,
      0.27615171964564983,
      0.27138624112166926,
      0.2667020014653866,
      0.26209756219593044,
      0.2575715123856672,
      0.25312246850715353,
      0.24874907375561414,
      0.24444990347430315,
      0.24022340517173793,
      0.23606811978317802,
      0.23198268743974484,
      0.22796581958458495,
      0.2240162810054441,
      0.22013287822159897,
      0.21631445189413998,
      0.21255991846294328,
      0.20886854993966306,
      0.20523968305512455,
      0.2016725053312526,
      0.19816611702060313,
      0.19471956968005538,
      0.19133181852696457,
      0.1880017589043479,
      0.18472833221259477,
      0.1815105202834094,
      0.178347337028038,
      0.17523782301032403,
      0.17218104170353415,
      0.16917607718270955,
      0.16622203231675933,
      0.16331802766487066,
      0.16046320051988874,
      0.15765670425633868,
      0.15489770786617058,
      0.15218539556810315,
      0.14951896617097252,
      0.14689763293413946,
      0.14432062309236185,
      0.1417871778199793,
      0.13929655177612826,
      0.13684801265003455,
      0.1344408411953452,
      0.13207433088887738,
      0.12974778767095946,
      0.12746052967231264,
      0.12521188691990323,
      0.12300120130779574,
      0.12082782619074801,
      0.11869112630591934,
      0.11659047744357885,
      0.1145252663433195,
      0.1124948903703293,
      0.11049875741045949,
      0.10853628558230484,
      0.10660690312854423,
      0.10471004828990305,
      0.10284516893147434,
      0.10101172257642407,
      0.09920917602002767,
      0.097437005318136,
      0.0956946956539645,
      0.09398174093672211,
      0.09229764400279153,
      0.09064191607717696,
      0.08901407683649602,
      0.0874136541382375,
      0.08584018409992848,
      0.08429321070407739,
      0.08277228574590119,
      0.0812769687317774,
      0.07980682673801713,
      0.07836143418219309,
      0.0769403729002476,
      0.07554323175696041,
      0.07416960662177034,
      0.07281910032218217,
      0.07149132240572119,
      0.07018588915843398,
      0.0689024233996746,
      0.06764055431314274,
      0.06639991739026659,
      0.06518015447610025,
      0.0639809133740074,
      0.06280184792719384,
      0.061642617810504896,
      0.060502888461337924,
      0.059382331197506424,
      0.05828062269810326,
      0.05719744533178819,
      0.056132486579710435,
      0.055085439391321316,
      0.05405600191409932,
      0.05304387752617121,
      0.05204877455111115,
      0.05107040618572321,
      0.0501084904679199,
      0.04916275030120535,
      0.04823291325237071,
      0.04731871145924499,
      0.04641988156512432,
      0.04553616484198153,
      0.04466730668883272,
      0.04381305698207395,
      0.042973169835310444,
      0.04214740339470065,
      0.04133552008171498,
      0.040537286165476555,
      0.0397524718778538,
      0.038980851342917414,
      0.03822220259471599,
      0.03747630746995367,
      0.036742951228934666,
      0.036021922876858195,
      0.035313015022012416,
      0.03461602377981489,
      0.03393074860136151,
      0.033256992451755236,
      0.032594561524866894,
      0.03194326523772944,
      0.03130291634562523,
      0.03067333073272332,
      0.030054327405720036,
      0.029445728391085734,
      0.028847358663681728,
      0.02825904611161463,
      0.02768062167807419,
      0.027111919082179907,
      0.02655277486899435,
      0.026003028221890025,
      0.025462521199294395,
      0.02493109838373976,
      0.02440860702510135,
      0.023894896926159866,
      0.023389820465838828,
      0.022893232556135193,
      0.022404990449439447,
      0.021924953819302002,
      0.021452984645287027,
      0.0209889472197226,
      0.020532708349641365,
      0.020084136962323227,
      0.019643104113981586,
      0.01920948299333624,
      0.01878314911857089,
      0.018363979938720888,
      0.017951854996123836,
      0.01754665595705885,
      0.017148266447038412,
      0.016756571989393065,
      0.016371460014597345,
      0.015992819832548848,
      0.015620542631415891,
      0.015254521477430939,
      0.014894651226359513,
      0.014540828525061007,
      0.014192951717878127,
      0.013850920779026457,
      0.013514637429250293,
      0.013184005081207498,
      0.012858928829842579,
      0.012539315328258516,
      0.012225072765225333,
      0.011916110931427071,
      0.011612341030911636,
      0.011313675867299096,
      0.011020029514377687,
      0.010731317730031076,
      0.010447457530086737,
      0.01016836728279281,
      0.009893966852875228,
      0.009624177459032565,
      0.009358921542947271,
      0.0090981229484941,
      0.008841706832854915,
      0.008589599474666079,
      0.00834172852563496,
      0.008098022923683668,
      0.007858412671535513,
      0.007622828880081667,
      0.00739120382876631,
      0.007163470960809156,
      0.006939564857267107,
      0.0067194212411748454,
      0.006502976992578552,
      0.0062901698053314066,
      0.0060809386359882344,
      0.005875223362382789,
      0.005672964872249744,
      0.005474105060214875,
      0.005278586834990336,
      0.00508635404799758,
      0.00489735149584457,
      0.00471152490072991,
      0.00452882079905029,
      0.004349186738901858,
      0.004172571271366081,
      0.003998923589474498,
      0.0038281938821973106,
      0.00366033306259269,
      0.003495292925113125,
      0.003333026089886141,
      0.0031734859312869687,
      0.0030166266107699816,
      0.002862403043826259,
      0.0027107710029394207,
      0.0025616869055865897,
      0.002415107891251091,
      0.002270991964955912,
      0.0021292977304910614,
      0.00198998449516375,
      0.0018530122372574808,
      0.0017183417289255475,
      0.001585934254788744,
      0.0014557517272051571,
      0.0013277567277149589,
      0.001201912449036162,
      0.0010781827986765617,
      0.0009565322064368561,
      0.0008369257964340623,
      0.0007193292119462892,
      0.0006037086906514485,
      0.0004900310081513142,
      0.0003782635640507015,
      0.00026837422845111966,
      0.00016033143836032834,
      5.410415028992343e-05,
      -5.0338078120301655e-05,
      -0.00015302530318027022,
      -0.00025398707122335556,
      -0.00035325236295421174,
      -0.00045084959901756116,
      -0.0005468068280227041,
      -0.0006411515946570356,
      -0.0007339110482577293,
      -0.0008251118454784004,
      -0.0009147802169103378,
      -0.0010029418919720997,
      -0.0010896220917744584,
      -0.0011748457553422478,
      -0.001258637287592556,
      -0.0013410207634378748,
      -0.0014220198949486096,
      -0.001501657940056372,
      -0.0015799577301217115,
      -0.0016569418487896804,
      -0.001732632364378037,
      -0.0018070510499765711,
      -0.0018802192656016082,
      -0.0019521579019642844,
      -0.002022887774212273,
      -0.002092429156388009,
      -0.0021608019695637908,
      -0.0022280258852799897,
      -0.0022941202118462027,
      -0.0023591038999777937,
      -0.0024229955985377765,
      -0.0024858136770328242,
      -0.002547576202007729,
      -0.002608300912518108,
      -0.0026680051627531766,
      -0.002726706142505288,
      -0.002784420703216487,
      -0.002841165436750265,
      -0.0028969566578058614,
      -0.002951810372720521,
      -0.0030057422847777097,
      -0.0030587679514980787,
      -0.003110902642174241,
      -0.0031621613086965142,
      -0.0032125586505269512,
      -0.0032621091598131124,
      -0.003310826987373431,
      -0.003358726182781217,
      -0.0034058204886266504,
      -0.0034521234965046864,
      -0.003497648451930881,
      -0.0035424084211977823,
      -0.003586416259617508,
      -0.003629684528641569,
      -0.0036722257042102924,
      -0.003714052104822245,
      -0.003755175628149123,
      -0.003795608141314657,
      -0.0038353612411812844,
      -0.003874446344509817,
      -0.003912874719977208,
      -0.00395065739252733,
      -0.003987805154638018,
      -0.004024328685418033,
      -0.0040602384904159915,
      -0.004095544860401953,
      -0.0041302578542567825,
      -0.004164387561386156,
      -0.004197943784849597,
      -0.004230936162756774,
      -0.0042633742378560754,
      -0.004295267316767937,
      -0.004326624455830564,
      -0.00435745456007139,
      -0.004387766596457961,
      -0.004417569234580143,
      -0.004446871179723686,
      -0.004475680755236085,
      -0.004504006189911037,
      -0.004531855688350655,
      -0.00455923720242535,
      -0.004586158538737756,
      -0.004612627472067679,
      -0.004638651699467596,
      -0.004664238647783571,
      -0.004689395649160858,
      -0.004714129880975416,
      -0.004738448508263092,
      -0.0047623584639433815,
      -0.00478586664128695,
      -0.004808979851058479,
      -0.004831704657406065,
      -0.004854047562729215
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33427536916235,
      10.092048226367098,
      9.84290560817134,
      9.589724100260325,
      9.335129849087528,
      9.081390060953417,
      8.830392537508853,
      8.583630632816254,
      8.342199865287155,
      8.106823004801676,
      7.877889302765753,
      7.655504067415058,
      7.439543851283269,
      7.229712665232822,
      7.025595494966074,
      6.826706561436795,
      6.632530912245218,
      6.442558852168892,
      6.256313543893751,
      6.0733727616815765,
      5.8933806209940345,
      5.716043259411625,
      5.541130189325511,
      5.368494575817125,
      5.198059933653068,
      5.029820106453641,
      4.863873369892077,
      4.700435638648672,
      4.539787026804574,
      4.38223625093525,
      4.228120354473817,
      4.0778153710707485,
      3.931703148854682,
      3.790149545154947,
      3.653493447194453,
      3.5220354471916173,
      3.396027927914457,
      3.275669253349828,
      3.161100573902572,
      3.0523938429462305,
      2.949543853271685,
      2.8524732682023983,
      2.7610224293987002,
      2.6749509472556428,
      2.5939966305975357,
      2.517896141599973,
      2.4463781282986607,
      2.3791746793965234,
      2.316016587277262,
      2.256611399666797,
      2.200591357238413,
      2.1475919444249465,
      2.0972808217352776,
      2.04933874975572,
      2.003485077335873,
      1.9594835868415479,
      1.9171450006213295,
      1.8763077753849668,
      1.8368387560628876,
      1.7986225230119595,
      1.761557847994884,
      1.7255635750367293,
      1.6905732324938767,
      1.6565308697480368,
      1.6233892795620648,
      1.5911120271264279,
      1.559667032258403,
      1.5290236028446553,
      1.4991529908471466,
      1.4700275475419764,
      1.4416206130339007,
      1.4139065899871155,
      1.3868615199836152,
      1.3604613792299907,
      1.3346817232013395,
      1.3095000126238945,
      1.284895310971702,
      1.2608480027978832,
      1.237339595435286,
      1.214352579288196,
      1.1918703211673614,
      1.1698769833859628,
      1.1483575249212965,
      1.1272985825002937,
      1.1066878423775066,
      1.0865135884209318,
      1.0667643008005119,
      1.0474284791510997,
      1.0284948008861756,
      1.0099522144024307,
      0.991789990709647,
      0.9739977487555918,
      0.9565654648858791,
      0.9394834718047187,
      0.9227424514529158,
      0.9063334258365748,
      0.8902477440214015,
      0.8744770692308902,
      0.8590133661586034,
      0.8438488874680331,
      0.8289761603734727,
      0.8143879742314435,
      0.8000773694012435,
      0.7860376250296972,
      0.7722622484376802,
      0.7587449653208103,
      0.7454797100192364,
      0.7324606153312316,
      0.7196820042113831,
      0.707138382051879,
      0.6948244281629703,
      0.6827349882167734,
      0.670865067756568,
      0.659209824941474,
      0.6477645641712673,
      0.6365247302994528,
      0.6254859031671093,
      0.6146437915729334,
      0.6039942281822382,
      0.5935331423567316,
      0.5832565269574763,
      0.5731605032194729,
      0.5632416998624326,
      0.5534975645175381,
      0.5439253618319225,
      0.5345221219182498,
      0.5252847587579491,
      0.5162101447050248,
      0.5072951553043342,
      0.4985366973726526,
      0.4899317252242326,
      0.48147725029142374,
      0.47317034621086596,
      0.46500815110363247,
      0.4569878681261999,
      0.44910676528861243,
      0.4413621741832941,
      0.43375153520109494,
      0.42627263551520755,
      0.41892333922187086,
      0.4117014208908665,
      0.4046046192828306,
      0.3976306697914477,
      0.3907773246583582,
      0.38404236496494276,
      0.37742360751210424,
      0.3709189087880017,
      0.36452616719785813,
      0.3582434192709018,
      0.3520688348966259,
      0.3460005620378374,
      0.34003673703545445,
      0.33417550333036394,
      0.32841502314530235,
      0.32275348439212254,
      0.31718910468206357,
      0.31172013959678,
      0.30634490913379797,
      0.30106176629713854,
      0.295869081608616,
      0.2907652484663039,
      0.28574868632725814,
      0.2808178425490145,
      0.27597119274862647,
      0.2712072413666368,
      0.2665245214253701,
      0.26192159417239624,
      0.25739704875389796,
      0.2529495014873655,
      0.24857759542370222,
      0.24427991171117008,
      0.24005489813234573,
      0.2359010931402317,
      0.2318171354060845,
      0.22780173547072552,
      0.22385365753076422,
      0.2199717077200564,
      0.2161547263518705,
      0.21240162525576772,
      0.20871167029319632,
      0.20508420201291286,
      0.20151841023201994,
      0.19801339655720068,
      0.1945682134080458,
      0.19118181273662885,
      0.18785309016402726,
      0.18458098864611713,
      0.1813644910979656,
      0.17820261221097786,
      0.17509439284326003,
      0.1720388968496285,
      0.1690352084438588,
      0.16608243047967328,
      0.1631796836325904,
      0.1603261052078909,
      0.15752084864719565,
      0.15476308293018395,
      0.15205199215778542,
      0.14938677511175688,
      0.1467666450447196,
      0.14419082924250345,
      0.14165856889904732,
      0.13916911847681285,
      0.13672174589346067,
      0.13431573176116623,
      0.13195036955349174,
      0.1296249651608707,
      0.12733883674423807,
      0.12509131438964582,
      0.12288173999004465,
      0.12070946690204966,
      0.11857385982299179,
      0.11647429451828287,
      0.1144101577744372,
      0.1123808470183585,
      0.11038577018013485,
      0.1084243453352016,
      0.10649600063373015,
      0.1046001743835815,
      0.1027363145687464,
      0.1009038786476947,
      0.09910233344702546,
      0.0973311551435791,
      0.0955898288449776,
      0.09387784857624432,
      0.0921947171117865,
      0.09053994581224012,
      0.08891305436305877,
      0.08731357070744769,
      0.0857410308742918,
      0.0841949789486383,
      0.08267496671070922,
      0.08118055368090539,
      0.0797113070071568,
      0.07826680113430155,
      0.07684661787503515,
      0.07545034626825314,
      0.07407758225332495,
      0.07272792859493797,
      0.07140099492474453,
      0.07009639750870776,
      0.06881375928670219,
      0.06755270959898954,
      0.06631288390760717,
      0.0650939239498726,
      0.06389547769612254,
      0.06271719894462524,
      0.061558747600126855,
      0.06041978906170279,
      0.05929999461076928,
      0.05819904097432487,
      0.05711661054205592,
      0.056052391028055516,
      0.05500607539466811,
      0.05397736179862038,
      0.05296595354391574,
      0.05197155917530009,
      0.05099389194197915,
      0.05003266993441807,
      0.04908761608667534,
      0.048158457987158655,
      0.0472449278687768,
      0.04634676246447209,
      0.045463703038355126,
      0.044595495141574466,
      0.04374188858174141,
      0.0429026374622795,
      0.04207750018429465,
      0.041266239092513216,
      0.040468620489404146,
      0.03968441483620104,
      0.03891339636518054,
      0.038155342919719955,
      0.03741003626617229,
      0.036677261924296115,
      0.03595680903152387,
      0.035248470201696136,
      0.034552041492691046,
      0.0338673224829129,
      0.03319411618919035,
      0.03253222883906813,
      0.031881470056226435,
      0.031241652562669673,
      0.030612592312663396,
      0.029994108289717214,
      0.02938602246738787,
      0.028788159998110862,
      0.028200348886415608,
      0.02762242007387896,
      0.027054207414387015,
      0.02649554750835589,
      0.02594627959190837,
      0.025406245588797612,
      0.02487529023028319,
      0.024353260772275526,
      0.023840007033756196,
      0.02333538159833399,
      0.02283923941534686,
      0.02235143768404635,
      0.021871836162970056,
      0.021400297064647546,
      0.02093668471345826,
      0.02048086582087351,
      0.020032709313215578,
      0.019592086302057003,
      0.019158870196473728,
      0.018732936385202775,
      0.018314162505715555,
      0.017902428136516713,
      0.01749761487897118,
      0.01709960638308879,
      0.01670828823520569,
      0.016323547980419365,
      0.01594527496169167,
      0.01557336047795598,
      0.015207697625136433,
      0.014848181226806164,
      0.01449470807116225,
      0.01414717651883717,
      0.013805486689825106,
      0.013469540269057388,
      0.013139240763454732,
      0.01281449321869074,
      0.012495204311777008,
      0.012181282321964363,
      0.01187263696178317,
      0.011569179621155442,
      0.011270823070534734,
      0.010977481526161011,
      0.010689070707839287,
      0.010405507654617351,
      0.010126710882942924,
      0.009852600366009915,
      0.009583097257961654,
      0.009318124068018727,
      0.009057604668154603,
      0.008801464172680375,
      0.008549629038749243,
      0.008302026898610825,
      0.008058586562028442,
      0.007819238131338844,
      0.007583912809836062,
      0.007352542911911694,
      0.007125061959754112,
      0.00690140455634562,
      0.006681506542091079,
      0.006465304596875976,
      0.006252736557847171,
      0.006043741404213105,
      0.005838259094161739,
      0.005636230583817442,
      0.005437597799017843,
      0.005242303668158036,
      0.005050292139966368,
      0.004861508027084587,
      0.004675897101258343,
      0.004493405899441045,
      0.004313982073995029,
      0.004137574040635159,
      0.003964131157886729,
      0.0037936035663562787,
      0.0036259421582155137,
      0.003461098855563072,
      0.003299026326074549,
      0.003139677930971279,
      0.002983007891938682,
      0.002828971225161122,
      0.002677523679929225,
      0.002528621666501842,
      0.0023822223648481597,
      0.002238283811254568,
      0.002096764542452709,
      0.001957623878360588,
      0.0018208218831893086,
      0.0016863192404438713,
      0.0015540773339849932,
      0.0014240581346878034,
      0.0012962243372152814,
      0.0011705392264530971,
      0.001046966717813429,
      0.0009254712091696448,
      0.0008060178164678595,
      0.0006885722429839295,
      0.0005731007593968038,
      0.0004595700777223168,
      0.0003479475067854467,
      0.00023820110371625217,
      0.00013029933238463556,
      2.4211302193103483e-05,
      -8.00935632655462e-05,
      -0.00018264520708072043,
      -0.0002834733493311409,
      -0.00038260679592399773,
      -0.0004800740034140253,
      -0.000575902974242732,
      -0.0006701211058865852,
      -0.0007627555911216269,
      -0.0008538330922098339,
      -0.0009433797436854067,
      -0.0010314212805009205,
      -0.0011179829863946723,
      -0.0012030897804820504,
      -0.0012867660668579683,
      -0.0013690358687232847,
      -0.0014499229352707,
      -0.0015294505678549242,
      -0.0016076414697388014,
      -0.0016845181151352066,
      -0.001760102614767421,
      -0.0018344166689626528,
      -0.0019074816022086913,
      -0.0019793183704400756,
      -0.0020499477259356227,
      -0.002119389910779321,
      -0.0021876649209204946,
      -0.0022547923746310595,
      -0.0023207915326018957,
      -0.0023856813224767304,
      -0.002449480520949746,
      -0.002512207344221498,
      -0.0025738798058033757,
      -0.002634515723835206,
      -0.002694132517174769,
      -0.002752747293116586,
      -0.002810376806387802,
      -0.002867037633053149,
      -0.0029227460764215778,
      -0.0029775182121456025,
      -0.0030313696968482327,
      -0.0030843160457758247,
      -0.0031363724584755424,
      -0.0031875539356792364,
      -0.0032378752173002723,
      -0.0032873507322075776,
      -0.003335994648526835,
      -0.0033838208719119836,
      -0.003430843278429747,
      -0.0034770753044217253,
      -0.0035225301840356585,
      -0.003567221039146009,
      -0.0036111607144669287,
      -0.0036543618410206655,
      -0.0036968368537214536,
      -0.003738597932170251,
      -0.0037796571056343837,
      -0.003820026223951709,
      -0.003859716864164733,
      -0.003898740382193386,
      -0.003937107906735398,
      -0.003974830522693449,
      -0.0040119190985438225,
      -0.004048384271740994,
      -0.004084236535052882,
      -0.004119486163153666,
      -0.0041541433357942725,
      -0.004188217935851761,
      -0.00422171979189593,
      -0.004254658595667205,
      -0.0042870437303366695,
      -0.004318884549222541,
      -0.004350190087939585,
      -0.004380969468766604,
      -0.004411231567567091,
      -0.004440985067767967,
      -0.004470238513593207,
      -0.004499000216177752,
      -0.004527278439041381,
      -0.004555081360437726,
      -0.004582416978320814,
      -0.00460929317365352,
      -0.004635717626479675,
      -0.004661697871882722,
      -0.004687241316737396,
      -0.00471235546599937,
      -0.004737047545007661,
      -0.00476132462324926,
      -0.004785193686809369,
      -0.004808661512952355,
      -0.004831734938446774,
      -0.004854420473011962,
      -0.004876724719357751
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33427322845597,
      10.09203834584237,
      9.842882654371664,
      9.589682953055801,
      9.335066501883647,
      9.081301748171974,
      8.830277533084407,
      8.583487935090767,
      8.342028997875504,
      8.106623848315781,
      7.877661960109275,
      7.655248759777166,
      7.439260848146981,
      7.229402243674047,
      7.025257924413377,
      6.8263421079406985,
      6.632139859857288,
      6.442141532628754,
      6.255870398839413,
      6.072904403330446,
      5.89288785908188,
      5.71552714800393,
      5.540591995808306,
      5.367935809096276,
      5.197482195126362,
      5.029225422390216,
      4.86326454400167,
      4.699816011577818,
      4.539159954397125,
      4.381605114220849,
      4.2274886910481815,
      4.077186915680119,
      3.931081485076075,
      3.7895380388821303,
      3.6528951886371903,
      3.5214532102652996,
      3.395464130929298,
      3.2751259315376644,
      3.1605793651859235,
      3.051895817879531,
      2.9490694705722498,
      2.852022485663556,
      2.760594510841046,
      2.674544743329022,
      2.5936108021431132,
      2.517529137361081,
      2.4460283747306804,
      2.3788406165187,
      2.3156965526690882,
      2.2563035477146705,
      2.200293456256236,
      2.147301973792247,
      2.0969967733828483,
      2.0490588308997597,
      2.003207854908485,
      1.9592079982564186,
      1.9168702566798825,
      1.876033288527904,
      1.8365641062618754,
      1.7983472965048657,
      1.7612817186224483,
      1.7252863281843902,
      1.6902947303362006,
      1.6562510280227767,
      1.6231082530218324,
      1.5908302753433767,
      1.5593848581047172,
      1.5287412237590878,
      1.4988705585337458,
      1.4697451640163892,
      1.4413383484798055,
      1.4136244934006825,
      1.386579640499269,
      1.3601797724438194,
      1.3344004342013718,
      1.3092190742689427,
      1.2846147490169801,
      1.2605678381030747,
      1.23705984762876,
      1.214073265835637,
      1.1915914588642356,
      1.1695985888650848,
      1.1480796232309933,
      1.1270212099349768,
      1.1064110333322168,
      1.0862373811116557,
      1.0664887251677444,
      1.0471535601028408,
      1.028220560242682,
      1.0096786723117215,
      0.991517165973987,
      0.9737256592411387,
      0.9562941275571046,
      0.9392129035547097,
      0.9224726694079981,
      0.9060644467807379,
      0.8899795845671863,
      0.8742097462294638,
      0.8587468962804806,
      0.8435832869728419,
      0.8287114453726298,
      0.8141241609370141,
      0.7998144736230933,
      0.7857756626251046,
      0.7720012353410883,
      0.7584849174341324,
      0.7452206426059171,
      0.7322025436691707,
      0.7194249433691435,
      0.7068823466268908,
      0.6945694321609924,
      0.6824810457066228,
      0.6706121924211963,
      0.6589580300499502,
      0.6475138629973706,
      0.636275135819005,
      0.6252374279731474,
      0.614396448010109,
      0.6037480283447693,
      0.5932880975929047,
      0.5830126481782454,
      0.5729178012223968,
      0.5630002633453108,
      0.5532574839552934,
      0.5436866954623804,
      0.5342849072936943,
      0.5250490206860172,
      0.5159758995035143,
      0.5070624140036741,
      0.49830546749472937,
      0.4897020121609589,
      0.4812490577787375,
      0.4729436770205336,
      0.464783007444884,
      0.4567642514545235,
      0.4488846765386637,
      0.4411416140196433,
      0.43353251537623017,
      0.4260551828465445,
      0.4187074696059364,
      0.41148714328054536,
      0.40439193810533897,
      0.3974195866588467,
      0.39056783937669165,
      0.38383447582050706,
      0.37721731205666464,
      0.37071420418492423,
      0.36432305010461596,
      0.35804189505401,
      0.35186890864332543,
      0.3458022349865505,
      0.33984000778230095,
      0.3339803688068016,
      0.3282214791032792,
      0.3225615260086241,
      0.3169987266879624,
      0.3115313372536311,
      0.306157678473087,
      0.3008761023989327,
      0.29568497866875565,
      0.2905827002141738,
      0.2855676862612965,
      0.28063838365984195,
      0.27579326795089376,
      0.2710308434576316,
      0.2663496429646356,
      0.26174822760083255,
      0.2572251864336039,
      0.25277913566326204,
      0.24840871834854414,
      0.24411252155697147,
      0.23988899330692137,
      0.23573666964637285,
      0.23165418771221574,
      0.22764025700540141,
      0.22369364107021167,
      0.2198131455047179,
      0.21599761030164014,
      0.2122459427193409,
      0.20855740249539426,
      0.20493133379331935,
      0.20136692861036387,
      0.1978632900705221,
      0.19441947145276522,
      0.1910344217456391,
      0.18770703683180734,
      0.1844362613337819,
      0.18122107920920186,
      0.17806050560917447,
      0.17495358191872162,
      0.1718993722253544,
      0.168896960954842,
      0.16594545103181543,
      0.16304396298455034,
      0.16019163428007493,
      0.15738761819413252,
      0.15463108370208198,
      0.15192121504217315,
      0.14925721101419417,
      0.14663828481374802,
      0.14406366377862484,
      0.1415325889322327,
      0.13904431484550814,
      0.1365981092574586,
      0.13419325294981077,
      0.13182903937294688,
      0.12950477446222122,
      0.12721977633205087,
      0.12497337503820974,
      0.12276491240836888,
      0.12059374183183583,
      0.11845922799614583,
      0.11636074676729208,
      0.11429768495186667,
      0.11226943985869825,
      0.1102754194347689,
      0.10831504188149875,
      0.10638773545091144,
      0.10449293841412818,
      0.10263009861144644,
      0.10079867366359367,
      0.09899813042630894,
      0.09722794500438105,
      0.09548760264382573,
      0.09377659740673755,
      0.09209443202256194,
      0.09044061780067852,
      0.08881467450899319,
      0.08721613012222076,
      0.08564452066257122,
      0.08409939020515556,
      0.08258029071729987,
      0.08108678178578307,
      0.07961843064141065,
      0.07817481179349577,
      0.07675550703092313,
      0.07536010524848287,
      0.0739882024737167,
      0.0726394016646738,
      0.07131331246897682,
      0.07000955123318874,
      0.06872774083250618,
      0.06746751050186772,
      0.06622849588118744,
      0.06501033887420497,
      0.06381268739302527,
      0.06263519540170263,
      0.06147752266054998,
      0.060339334813668676,
      0.059220303134882836,
      0.05812010453025473,
      0.05703842124954881,
      0.0559749410631939,
      0.05492935702374876,
      0.05390136744103072,
      0.05289067575311803,
      0.051896990263616924,
      0.05092002436167095,
      0.0499594961408127,
      0.04901512862710162,
      0.04808664946913556,
      0.04717379094459276,
      0.04627628988892516,
      0.045393887539092535,
      0.044526329607675205,
      0.043673366138050465,
      0.04283475114719547,
      0.04201024293902646,
      0.04119960402338279,
      0.04040260075230047,
      0.03961900350500852,
      0.038848586615123915,
      0.03809112805186117,
      0.03734640972607492,
      0.03661421716226668,
      0.03589433952808206,
      0.0351865695060215,
      0.03449070319142357,
      0.03380654024513092,
      0.0331338836528797,
      0.03247253978369404,
      0.031822318219496035,
      0.031183031819844133,
      0.03055449653198541,
      0.029936531499429903,
      0.029328958686165675,
      0.02873160330720973,
      0.02814429356588147,
      0.027566860389184256,
      0.02699913745440775,
      0.026440961429547293,
      0.025892171678120548,
      0.025352610311755123,
      0.02482212196091762,
      0.024300554038586154,
      0.02378775658866307,
      0.023283582080993924,
      0.022787885451295,
      0.022300524029541188,
      0.021821357579645033,
      0.02135024827201739,
      0.020887060621157607,
      0.02043166130512946,
      0.019983919368722288,
      0.019543705990489435,
      0.01911089456367846,
      0.018685360594492426,
      0.01826698159629793,
      0.017855637379517973,
      0.017451209612571832,
      0.017053581911591235,
      0.01666263992514304,
      0.016278271204338043,
      0.015900365270896413,
      0.015528813394171517,
      0.015163508705761383,
      0.014804346187599186,
      0.014451222527594874,
      0.014104036108894581,
      0.01376268716503912,
      0.013427077477856025,
      0.01309711059046614,
      0.012772691454302857,
      0.012453726896235355,
      0.012140125233955365,
      0.011831796323798473,
      0.011528651486895202,
      0.011230603491577642,
      0.010937566688257783,
      0.010649456688404384,
      0.010366190712968088,
      0.0100876872482506,
      0.009813866286226748,
      0.009544649093152183,
      0.00927995825069048,
      0.009019717676612683,
      0.008763852606215032,
      0.008512289457982797,
      0.008264955824781192,
      0.008021780520607117,
      0.007782693708521689,
      0.007547626677141298,
      0.007316511755750849,
      0.0070892825006172435,
      0.006865873681975824,
      0.006646220983642789,
      0.006430261227887071,
      0.0062179322800505225,
      0.006009173020852999,
      0.005803923564908554,
      0.005602124980712229,
      0.005403719225172452,
      0.005208649214540502,
      0.00501685883587394,
      0.004828293038352343,
      0.004642897642890538,
      0.004460619281899618,
      0.004281405520862022,
      0.004105204785898598,
      0.0039319663777055225,
      0.0037616406288386466,
      0.0035941785178454947,
      0.0034295318331713258,
      0.0032676532573669196,
      0.0031084963149333087,
      0.002952015278987049,
      0.00279816509350864,
      0.0026469014828342245,
      0.002498181108502876,
      0.002351961125728998,
      0.0022081994413319737,
      0.0020668547203385058,
      0.0019278862808774508,
      0.0017912542717805036,
      0.0016569194332264065,
      0.001524843095427507,
      0.001394987319430272,
      0.0012673147226632058,
      0.0011417886313079752,
      0.0010183729998103075,
      0.0008970322757313768,
      0.0007777315656618522,
      0.0006604365935680552,
      0.0005451136742723568,
      0.0004317296384956705,
      0.00032025186837752724,
      0.000210648328055229,
      0.00010288754611589362,
      -3.0614825630166897e-06,
      -0.0001072292656144848,
      -0.000209645755110894,
      -0.00031034031231962566,
      -0.00040934184838588696,
      -0.0005066789189107418,
      -0.0006023795370317462,
      -0.0006964712006966762,
      -0.0007889809686531731,
      -0.0008799354205878751,
      -0.0009693607805599406,
      -0.001057282676305732,
      -0.0011437263289014589,
      -0.001228716550190536,
      -0.0013122778209694853,
      -0.00139443422802113,
      -0.001475209399801111,
      -0.0015546265609493325,
      -0.0016327085280272863,
      -0.0017094776656211928,
      -0.0017849560377075648,
      -0.0018591654114216048,
      -0.001932127177352014,
      -0.0020038623061970112,
      -0.0020743913801556163,
      -0.0021437347311204277,
      -0.0022119122214168353,
      -0.0022789433980400183,
      -0.002344847633304447,
      -0.0024096438889720574,
      -0.00247335073350447,
      -0.002535986465791971,
      -0.002597569186988782,
      -0.0026581165409277968,
      -0.0027176459995945103,
      -0.002776174562791879,
      -0.0028337190983297364,
      -0.002890296166609843,
      -0.0029459220030125795,
      -0.003000612676906301,
      -0.00305438393211375,
      -0.003107251210722966,
      -0.003159229605374169,
      -0.003210334052207232,
      -0.00326057928768881,
      -0.003309979798379099,
      -0.0033585497123287183,
      -0.003406302969095589,
      -0.003453253374454094,
      -0.0034994145465896947,
      -0.0035447996384799,
      -0.0035894216824939582,
      -0.003633293418575975,
      -0.0036764275355105703,
      -0.0037188364150327604,
      -0.00376053224417948,
      -0.0038015271268433118,
      -0.0038418327621579868,
      -0.003881460726008644,
      -0.003920422459042507,
      -0.003958729210030884,
      -0.003996391869775216,
      -0.004033421351258915,
      -0.004069828314393227,
      -0.004105623195035166,
      -0.004140816411598489,
      -0.004175417858728986,
      -0.004209437442308755,
      -0.0042428849782763485,
      -0.0042757702314592935,
      -0.004308102635615488,
      -0.0043398914261038365,
      -0.004371145707717164,
      -0.004401874560567695,
      -0.004432086751205646,
      -0.004461791008848802,
      -0.0044909958497663435,
      -0.004519709674128237,
      -0.004547940684622912,
      -0.004575697090504106,
      -0.004602986821557251,
      -0.004629817692963461,
      -0.004656197493242705,
      -0.00468213384293609,
      -0.004707634154661931,
      -0.004732705815014675,
      -0.0047573559269684295,
      -0.004781591598805963,
      -0.004805419838485638,
      -0.004828847428345659,
      -0.0048518811490046625,
      -0.004874527704160877,
      -0.0048967934989031375
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33427109954972,
      10.092028521124266,
      9.842859826040408,
      9.589642022469878,
      9.335003480326256,
      9.081213884180604,
      8.830163107904045,
      8.583345952114641,
      8.341858983950601,
      8.106425687875447,
      7.877435757700187,
      7.654994738233193,
      7.43897927878107,
      7.229093405069534,
      7.024922085996487,
      6.825979537568641,
      6.631750841017953,
      6.441726395847432,
      6.2554295870149135,
      6.072438529437028,
      5.892397732827101,
      5.715013822514083,
      5.540056738143037,
      5.367380127463982,
      5.196907689371946,
      5.02863411564906,
      4.8626592325803015,
      4.699200025261282,
      4.538536638126567,
      4.380977835579878,
      4.226860972488631,
      4.076562475133114,
      3.930463888262026,
      3.7889306350385823,
      3.652301051162669,
      3.5208750966323135,
      3.394904442499761,
      3.274586688990052,
      3.160062193909708,
      3.051401775481129,
      2.94859900481634,
      2.8515755470896513,
      2.760170319910688,
      2.674142120182508,
      2.593228420520673,
      2.5171654343523344,
      2.445681791877062,
      2.3785096072471106,
      2.3153794676394006,
      2.2559985535331157,
      2.1999983340703704,
      2.1470147145211973,
      2.0967153796068567,
      2.048781519103563,
      2.0029331999612414,
      1.958934944443338,
      1.916598020550865,
      1.8757612862828572,
      1.836291920002418,
      1.7980745147314359,
      1.7610080170976483,
      1.7250114939614714,
      1.690018627752815,
      1.6559735742419812,
      1.6228296719797288,
      1.590551002357794,
      1.559105180387255,
      1.528461348835447,
      1.4985906321579756,
      1.4694652845825311,
      1.441058582987841,
      1.4133448894650098,
      1.386300246749574,
      1.3599006436185745,
      1.3341216154407665,
      1.3089405991812542,
      1.2843366436778645,
      1.260290124578555,
      1.2367825450382637,
      1.2137963921093533,
      1.1913150308040785,
      1.1693226229506692,
      1.1478041445973814,
      1.1267462548405374,
      1.1061366367189363,
      1.0859635813026196,
      1.0662155528337502,
      1.0468810409907674,
      1.0279487164560548,
      1.0094075237717983,
      0.9912467314532951,
      0.9734559568688568,
      0.956025175511338,
      0.9389447191092973,
      0.9222052697938369,
      0.9057978489111596,
      0.8897138055105673,
      0.8739448027507647,
      0.858482805080122,
      0.8433200646559063,
      0.8284491083019685,
      0.8138627254786001,
      0.7995539562005369,
      0.7855160795824946,
      0.7717426026400671,
      0.7582272505919772,
      0.7449639571293635,
      0.7319468546616604,
      0.7191702657107812,
      0.7066286950405757,
      0.6943168212927205,
      0.6822294897877561,
      0.6703617052499148,
      0.6587086252415056,
      0.6472655536127349,
      0.6360279347203952,
      0.6249913478391383,
      0.6141515011121345,
      0.6035042265932196,
      0.5930454520141152,
      0.5827711698559763,
      0.5726775008827454,
      0.5627612293937917,
      0.5530198062240642,
      0.5434504317775227,
      0.5340500953032539,
      0.5248156852146947,
      0.5157440569334866,
      0.5068320753993366,
      0.49807664040510924,
      0.48947470181901864,
      0.481023268159069,
      0.4727194109703822,
      0.46456026688147983,
      0.4565430379600749,
      0.4486649912622329,
      0.44092345762189594,
      0.4333158997422026,
      0.4258401344012076,
      0.4184940038849951,
      0.41127526905814205,
      0.40418165968334846,
      0.3972109058049513,
      0.39036075592617236,
      0.3836289884703701,
      0.37701341854067677,
      0.3705119015180723,
      0.3641223348459467,
      0.35784277237997114,
      0.3516713836127368,
      0.34560630889374183,
      0.3396456793379622,
      0.3337876351023073,
      0.32803033607016635,
      0.3223719686800399,
      0.31681074968283823,
      0.31134493570081556,
      0.3059728484913114,
      0.30069283899377763,
      0.2955032761937806,
      0.290402552380991,
      0.28538908642560185,
      0.28046132495078824,
      0.27561774328306954,
      0.27085684556533984,
      0.26617716445935985,
      0.26157726092416245,
      0.25705572387129116,
      0.2526111693828235,
      0.24824224029417685,
      0.24394753026263366,
      0.23972548742557434,
      0.23557464544937753,
      0.23149363975716036,
      0.22748117885962413,
      0.22353602549497115,
      0.21965698482600987,
      0.21584289642150675,
      0.21209266278886366,
      0.20840553744994603,
      0.20478086839500576,
      0.20121785002566872,
      0.1977155868643611,
      0.19427313305763744,
      0.19088943452376234,
      0.18756338747822585,
      0.1842939381666113,
      0.18108007144313634,
      0.17792080337010927,
      0.1748151756309316,
      0.17176225245042084,
      0.16876111823745588,
      0.16581087608149667,
      0.16291064673025155,
      0.1600595676387086,
      0.15725679211209231,
      0.15450148912634734,
      0.15179284278263647,
      0.1491300519167264,
      0.14651232970376357,
      0.14393890343593915,
      0.1414090142369492,
      0.13892191658069034,
      0.1364768782098975,
      0.13407317985085906,
      0.13171011492212667,
      0.12938698937542506,
      0.12710312126217962,
      0.1248578406417031,
      0.1226504894875878,
      0.12048042116608507,
      0.11834700056698462,
      0.11624960343043324,
      0.11418761636933984,
      0.1121604367798676,
      0.11016747258309105,
      0.10820814207610167,
      0.10628187355030451,
      0.10438810519640719,
      0.10252628507364542,
      0.10069587079361245,
      0.0988963291975138,
      0.09712713641432483,
      0.09538777761274529,
      0.09367774688595246,
      0.09199654703884305,
      0.09034368943734689,
      0.08871869382327205,
      0.087121088269206,
      0.08555040892094604,
      0.0840061998121869,
      0.0824880130059996,
      0.08099540796264322,
      0.07952795191655465,
      0.07808521950464473,
      0.07666679252913136,
      0.07527226009545125,
      0.07390121818478218,
      0.07255326969676587,
      0.07122802440855702,
      0.06992509871727451,
      0.06864411553691836,
      0.06738470411343149,
      0.06614650024484611,
      0.06492914577481956,
      0.06373228872187016,
      0.0625555829988179,
      0.06139868857377939,
      0.06026127098847473,
      0.05914300165464774,
      0.058043557602205975,
      0.056962621137141185,
      0.05589988000603903,
      0.05485502728117708,
      0.05382776131050534,
      0.05281778548375921,
      0.051824808258906715,
      0.05084854298178976,
      0.04988870802998704,
      0.048945026252588786,
      0.04801722550619856,
      0.04710503816250421,
      0.046208200989584426,
      0.04532645529458628,
      0.04445954688019143,
      0.04360722570610668,
      0.042769245916605456,
      0.04194536599819463,
      0.04113534842573972,
      0.040338959724906455,
      0.039555970343138076,
      0.038786154522751415,
      0.03802929043997603,
      0.0372851599325095,
      0.03655354855962801,
      0.035834245396404195,
      0.03512704335667396,
      0.03443173881819552,
      0.03374813135666004,
      0.033076024071173174,
      0.03241522310814706,
      0.03176553823481858,
      0.031126782433673107,
      0.03049877168777239,
      0.029881325089076895,
      0.029274264857266606,
      0.028677416173182525,
      0.02809060716377584,
      0.027513668892110387,
      0.02694643516771171,
      0.02638874262866497,
      0.025840430809157055,
      0.02530134173436504,
      0.024771320098040693,
      0.024250213437515857,
      0.023737871804404124,
      0.023234147654941945,
      0.02273889607448471,
      0.02225197444541979,
      0.021773242659122536,
      0.021302562866237794,
      0.020839799490443567,
      0.020384819391218594,
      0.019937491654110382,
      0.019497687567943105,
      0.01906528050876302,
      0.018640146016510862,
      0.018222161809913408,
      0.017811207561975895,
      0.017407165026631182,
      0.01700991786155085,
      0.016619351732146796,
      0.01623535432788749,
      0.015857815145023622,
      0.015486625504784118,
      0.015121678649370458,
      0.014762869482275861,
      0.014410094862687135,
      0.01406325328363051,
      0.013722244823985905,
      0.013386971399300004,
      0.013057336536042892,
      0.012733245400612077,
      0.0124146047836677,
      0.012101322989076051,
      0.011793309887853745,
      0.011490476850842622,
      0.011192736833790285,
      0.010900004093140937,
      0.0106121944731481,
      0.01032922511392347,
      0.010051014679917864,
      0.009777483072517506,
      0.009508551618677197,
      0.009244142901824973,
      0.008984180929331984,
      0.008728590872184307,
      0.008477299140363902,
      0.008230233463339091,
      0.00798732279718818,
      0.007748497223880445,
      0.007513687976112753,
      0.007282827453551057,
      0.0070558494157023244,
      0.006832688594723523,
      0.006613280706419569,
      0.006397562738868066,
      0.006185472558566122,
      0.005976949213885236,
      0.005771932663878789,
      0.005570363873680763,
      0.005372184868825159,
      0.005177338660530514,
      0.00498576927004944,
      0.004797421451702651,
      0.004612241233318137,
      0.004430175322271857,
      0.004251171176440253,
      0.0040751772879382845,
      0.003902143107885108,
      0.0037320188035774343,
      0.0035647555847315047,
      0.0034003052380368985,
      0.003238620510645464,
      0.0030796548352812047,
      0.002923362510561234,
      0.002769698566138004,
      0.002618618814974778,
      0.0024700797626061467,
      0.002324038684476992,
      0.002180453553684716,
      0.002039283124066918,
      0.0019004867427533268,
      0.0017640245151500132,
      0.0016298572246249022,
      0.0014979461848631526,
      0.0013682535398603813,
      0.0012407419176458734,
      0.0011153746529600356,
      0.0009921156685019374,
      0.0008709294925932758,
      0.0007517813106230341,
      0.0006346368028397243,
      0.0005194623214080998,
      0.00040622487278719127,
      0.00029489177830827144,
      0.0001854309339879678,
      7.78108306745144e-05,
      -2.7999404161023822e-05,
      -0.0001320302104149379,
      -0.00023431151760341918,
      -0.0003348727350982915,
      -0.00043374284223391497,
      -0.0005309502984389611,
      -0.000626522945019902,
      -0.0007204883818194881,
      -0.0008128736173197659,
      -0.0009037051048697834,
      -0.0009930089928442104,
      -0.001080811061790745,
      -0.0011671366540341509,
      -0.0012520105186090442,
      -0.0013354570548044877,
      -0.001417500242525638,
      -0.0014981636855397663,
      -0.0015774705641864973,
      -0.0016554437200361446,
      -0.0017321056183905244,
      -0.0018074783410670363,
      -0.00188158350756878,
      -0.00195444244929189,
      -0.0020260760895470338,
      -0.00209650502550464,
      -0.002165749596579003,
      -0.002233829748071447,
      -0.002300765000866,
      -0.0023665745537835787,
      -0.002431277448472537,
      -0.002494892236623748,
      -0.002557437218334785,
      -0.0026189303993196735,
      -0.0026793894980152366,
      -0.002738831926163807,
      -0.002797274710790652,
      -0.002854734612011525,
      -0.0029112280805660123,
      -0.002966771475292052,
      -0.003021380770831311,
      -0.003075071677803144,
      -0.003127859717175176,
      -0.0031797600712843554,
      -0.003230787547898995,
      -0.0032809568739749517,
      -0.00333028241613289,
      -0.0033787784088197227,
      -0.0034264588194114006,
      -0.003473337485762131,
      -0.0035194278270335097,
      -0.0035647430171098678,
      -0.0036092961446304345,
      -0.0036530999653595192,
      -0.003696167066700287,
      -0.0037385098408605623,
      -0.003780140577920184,
      -0.0038210712851710913,
      -0.0038613136325207015,
      -0.003900879309958561,
      -0.003939779678969014,
      -0.003978025976313893,
      -0.004015629027190317,
      -0.004052599650593806,
      -0.004088948517120129,
      -0.004124686089007238,
      -0.0041598226231039995,
      -0.004194368154027816,
      -0.004228332718018153,
      -0.004261726137792202,
      -0.004294557902044402,
      -0.004326837514444684,
      -0.004358574308373694,
      -0.004389777324345434,
      -0.004420455708410485,
      -0.004450618334332324,
      -0.004480273673058142,
      -0.004509430296923537,
      -0.004538096537665586,
      -0.004566280640178176,
      -0.004593990813913908,
      -0.004621235042597309,
      -0.0046480210963216395,
      -0.004674356740321842,
      -0.004700249459971955,
      -0.004725706808350241,
      -0.004750735888652407,
      -0.0047753440057734355,
      -0.004799538249463294,
      -0.004823325674923364,
      -0.0048467130759479345,
      -0.0048697071835591245,
      -0.004892314577777165,
      -0.004914541732530772
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334268841757565,
      10.09201834743556,
      9.842836492034875,
      9.589600483845492,
      9.334939793826214,
      9.081125337775518,
      8.830048020457495,
      8.583203356796504,
      8.341688430964131,
      8.106227078749095,
      7.8772092088795445,
      7.654740481148046,
      7.438697590079174,
      7.228784567252387,
      7.02458637291031,
      6.8256172185208195,
      6.631362201253147,
      6.441311767598848,
      6.2549894135692705,
      6.071973422269233,
      5.891908500684533,
      5.7145015177394765,
      5.539522627032952,
      5.3668257165321815,
      5.196334577862731,
      5.0280443240621615,
      4.862055552723482,
      4.698585780835196,
      4.5379151671114055,
      4.380352500198951,
      4.2262352880591845,
      4.075940149900025,
      3.9298484787551953,
      3.7883254803271678,
      3.651709214011739,
      3.5202993239721585,
      3.3943471260306946,
      3.274049838058906,
      3.1595474227378046,
      3.0509101326990673,
      2.948130929348636,
      2.8511309825059787,
      2.7597484741244167,
      2.673741804023655,
      2.592848306131668,
      2.5168039593517437,
      2.4453373988301657,
      2.3781807514842193,
      2.3150645013135644,
      2.2556956380513524,
      2.1997052470939487,
      2.1467294528768113,
      2.096435951669155,
      2.0485061462442142,
      2.002660462169807,
      1.958663789783354,
      1.9163276687375401,
      1.8754911557470537,
      1.8360215937719864,
      1.7978035823673124,
      1.760736155546463,
      1.7247384918790425,
      1.6897443505223975,
      1.6556979398117795,
      1.622552918382487,
      1.5902735600146571,
      1.5588273337747534,
      1.5281833040881068,
      1.498312533705784,
      1.4691872298110824,
      1.4407806392662716,
      1.4130671043174232,
      1.3860226688094608,
      1.3596233274620688,
      1.333844606229584,
      1.3086639300623262,
      1.2840603406923334,
      1.260014210127867,
      1.2365070394002837,
      1.213521313665421,
      1.1910403973675203,
      1.1690484522647449,
      1.1475304617837043,
      1.1264730964911518,
      1.105864037995336,
      1.0856915804257792,
      1.0659441800464802,
      1.046610321180608,
      1.0276786720070288,
      1.0091381750553865,
      0.9909780977581804,
      0.9731880567515685,
      0.9557580265184342,
      0.9386783388557128,
      0.9219396753965161,
      0.9055330577291675,
      0.889449834547148,
      0.873681669006296,
      0.8582205253303533,
      0.8430586555715419,
      0.8281885866047802,
      0.8136031076768035,
      0.7992952585134965,
      0.7852583177244354,
      0.7714857923531706,
      0.7579714075306447,
      0.744709096630205,
      0.7316929920356009,
      0.7189174160650413,
      0.7063768730386324,
      0.6940660413338542,
      0.6819797659468403,
      0.6701130515364503,
      0.6584610553391503,
      0.6470190808129045,
      0.6357825719708765,
      0.6247471076053964,
      0.6139083956096308,
      0.6032622678061439,
      0.5928046514766694,
      0.582531538398019,
      0.5724390494342507,
      0.5625240459524959,
      0.5527839803888455,
      0.54321602111005,
      0.5338171372045593,
      0.52458420432941,
      0.5155140695791602,
      0.5066035926644925,
      0.49784967000180563,
      0.48924924912894185,
      0.4807993370868026,
      0.4724970043277972,
      0.464339386711138,
      0.45632368579937066,
      0.44844716809413543,
      0.44070716409882277,
      0.43310114738900013,
      0.42562694958947395,
      0.4182824022002227,
      0.41106525935000826,
      0.4039732466342873,
      0.3970040908765902,
      0.390155538671748,
      0.38342536737802224,
      0.37681139125816376,
      0.37031146509544544,
      0.36392348576940586,
      0.3576455158098954,
      0.35147572482597866,
      0.34541224911537394,
      0.3394532171882864,
      0.3335967673570619,
      0.32784105852525325,
      0.3221842764244297,
      0.31662463723899104,
      0.31116039815207297,
      0.305789881820581,
      0.30051143814515135,
      0.2953234354691423,
      0.2902242656791045,
      0.285212347146101,
      0.2802861263524806,
      0.27544407830503226,
      0.27068470678508105,
      0.26600654447970007,
      0.26140815232580344,
      0.2568881191255838,
      0.2524450606603431,
      0.24807761963959057,
      0.24378439624222994,
      0.23956383897419556,
      0.23541447890035347,
      0.23133494985325598,
      0.22732395908278735,
      0.22338026866980623,
      0.21950268324857042,
      0.21569004212500692,
      0.21194124297500047,
      0.20825553293502627,
      0.2046322637539701,
      0.20107063221908245,
      0.19756974443534495,
      0.19412865424003775,
      0.19074630533372405,
      0.18742159523081117,
      0.1841534715597543,
      0.1809409201890481,
      0.17778295753673518,
      0.17467862567774992,
      0.17162698897873607,
      0.16862713207747024,
      0.1656781582205417,
      0.16277918803137054,
      0.15992935884411177,
      0.1571278241510535,
      0.15437375287598912,
      0.15166632899997712,
      0.14900475141779193,
      0.14638823326880207,
      0.14381600183483428,
      0.14128729808261223,
      0.13880137658207242,
      0.13635750508738145,
      0.13395496449376487,
      0.13159304810069564,
      0.12927106185292958,
      0.12698832383656808,
      0.12474416416170446,
      0.1225379247158271,
      0.1203689588772008,
      0.1182366314672465,
      0.11614031821024984,
      0.11407940581927487,
      0.1120532917284883,
      0.11006138390487874,
      0.10810310050185248,
      0.10617786992235939,
      0.10428513036107108,
      0.10242432986277758,
      0.10059492603137635,
      0.09879638577679101,
      0.09702818527151688,
      0.09528980975347541,
      0.09358075317526296,
      0.09190051851260998,
      0.09024861716241449,
      0.08862456890371186,
      0.08702790189423115,
      0.08545815229206175,
      0.08391486420049768,
      0.0823975895999354,
      0.08090588816682674,
      0.07943932709475404,
      0.07799748100243183,
      0.07657993175975167,
      0.07518626847339903,
      0.07381608712941784,
      0.07246899074034474,
      0.07114458905377578,
      0.0698424985489633,
      0.06856234222552894,
      0.06730374950826878,
      0.06606635608918165,
      0.06484980389134017,
      0.06365374091530192,
      0.06247782109503536,
      0.06132170446869081,
      0.06018505677025059,
      0.05906754939565319,
      0.057968859243160156,
      0.05688866881934325,
      0.055826665981073484,
      0.05478254376713767,
      0.05375600059915018,
      0.05274673997470866,
      0.05175447041480033,
      0.05077890544604903,
      0.04981976328671026,
      0.04887676692913251,
      0.04794964415373446,
      0.04703812738987643,
      0.046141953549502665,
      0.04526086406855031,
      0.04439460471110411,
      0.043542925529985455,
      0.04270558084971223,
      0.04188232908161112,
      0.041072932716455186,
      0.04027715830711921,
      0.03949477640648821,
      0.03872556136778384,
      0.037969291299574694,
      0.037225748098532234,
      0.03649471757961515,
      0.0357759889086517,
      0.03506935477936998,
      0.03437461155934142,
      0.03369155903027478,
      0.033020000300533425,
      0.03235974180667255,
      0.031710593270694774,
      0.031072367580587804,
      0.030444880836031377,
      0.029827952221936162,
      0.029221404014794217,
      0.028625061397290305,
      0.028038752564042552,
      0.02746230857830672,
      0.026895563373436144,
      0.026338353669672597,
      0.025790519048322604,
      0.02525190161081686,
      0.024722346213663007,
      0.024201700293998277,
      0.02368981391542497,
      0.023186539696740373,
      0.022691732578637255,
      0.02220525005753652,
      0.021726952098644822,
      0.021256701026835294,
      0.020794361375565507,
      0.020339800005401736,
      0.019892885939049063,
      0.019453490490899877,
      0.0190214871319288,
      0.018596751464954115,
      0.018179161233420442,
      0.017768596224321656,
      0.017364938134219316,
      0.01696807079931876,
      0.01657788003271898,
      0.016194253380576295,
      0.015817080444846168,
      0.015446252609530664,
      0.015081663073067901,
      0.014723206881317409,
      0.014370780834210117,
      0.014024283539222453,
      0.01368361515374416,
      0.013348677629891514,
      0.013019374501783212,
      0.01269561106711443,
      0.012377294149161167,
      0.012064332068797153,
      0.011756634692047366,
      0.011454113413722839,
      0.011156681115355982,
      0.010864252217661382,
      0.010576742714013999,
      0.01029406974551986,
      0.010016151873919037,
      0.009742909073659272,
      0.009474262819116367,
      0.009210135776318547,
      0.008950451862059566,
      0.008695136301712602,
      0.008444115552167161,
      0.00819731743952767,
      0.00795467092672877,
      0.007716106210261554,
      0.00748155454790229,
      0.007250948453549247,
      0.007024221540256422,
      0.006801308597249902,
      0.006582145518104035,
      0.0063666691894329825,
      0.006154817561196969,
      0.005946529543096248,
      0.005741745261796681,
      0.0055404057865667995,
      0.005342453146251932,
      0.005147830407323531,
      0.004956481590387082,
      0.00476835155240428,
      0.0045833861771738624,
      0.004401532214039657,
      0.004222737246822403,
      0.004046949908138561,
      0.0038741195820622075,
      0.0037041965936958124,
      0.003537132001486965,
      0.003372877621342245,
      0.003211386200020537,
      0.0030526112615622066,
      0.0028965072047950637,
      0.002743029143234668,
      0.0025921328690421577,
      0.0024437748955654444,
      0.002297912490293307,
      0.0021545037043496813,
      0.0020135072522663743,
      0.0018748825790493,
      0.001738589758087301,
      0.0016045896335666972,
      0.0014728435964883092,
      0.0013433137133027594,
      0.001215962685020695,
      0.0010907538343314807,
      0.0009676512034668092,
      0.0008466194128950397,
      0.0007276235733924595,
      0.0006106294735830107,
      0.0004956033627065426,
      0.00038251212364183706,
      0.0002713232828856688,
      0.00016200492109117787,
      5.4525433278429516e-05,
      -5.1146156205832247e-05,
      -0.00015504015639644062,
      -0.00025718650036298646,
      -0.0003576146338008783,
      -0.0004563534905736908,
      -0.0005534315110033686,
      -0.0006488765690496057,
      -0.000742716081641311,
      -0.0008349770208844483,
      -0.0009256859501821663,
      -0.0010148689819598215,
      -0.0011025517275493487,
      -0.0011887595570044106,
      -0.0012735172659334936,
      -0.0013568492682337972,
      -0.0014387795267265797,
      -0.0015193315707031244,
      -0.0015985286075607466,
      -0.0016763934165371498,
      -0.0017529484637667588,
      -0.001828215672429595,
      -0.001902216731301027,
      -0.001974973001811159,
      -0.00204650536664066,
      -0.0021168344834423102,
      -0.0021859805605261027,
      -0.002253963512722569,
      -0.002320802848566024,
      -0.0023865178167746526,
      -0.0024511273611546743,
      -0.0025146501377216225,
      -0.0025771044669036704,
      -0.0026385081957282,
      -0.0026988789649865343,
      -0.0027582342721718684,
      -0.0028165911521521522,
      -0.002873966313940564,
      -0.002930376320926566,
      -0.002985837433083794,
      -0.0030403656074215646,
      -0.0030939765670043324,
      -0.0031466857033144936,
      -0.003198508117845373,
      -0.003249458821314311,
      -0.0032995524999645588,
      -0.003348803496947025,
      -0.003397225944901329,
      -0.003444833885096891,
      -0.0034916409980779136,
      -0.0035376607082934,
      -0.003582906268532003,
      -0.0036273908248860773,
      -0.0036711271246865256,
      -0.003714127636570256,
      -0.003756404809342393,
      -0.0037979708727910225,
      -0.003838837841032553,
      -0.0038790173627303768,
      -0.003918520995664257,
      -0.003957360118552864,
      -0.003995545867619466,
      -0.0040330892374696,
      -0.0040700011562582366,
      -0.0041062921276106765,
      -0.004141972615558309,
      -0.0041770528564860805,
      -0.004211543007557075,
      -0.004245452900043649,
      -0.004278792390184269,
      -0.004311571098465744,
      -0.004343798402950847,
      -0.0043754835652662985,
      -0.0044066356713260485,
      -0.004437263851700124,
      -0.004467376840324689,
      -0.004496983250487027,
      -0.004526091627715148,
      -0.004554710432326114,
      -0.004582847888381219,
      -0.004610511984066641,
      -0.004637710802121269,
      -0.004664452016961433,
      -0.004690743351377063,
      -0.004716592409451631,
      -0.004742006604573148,
      -0.004766993245922952,
      -0.004791559592608197,
      -0.004815712691171687,
      -0.0048394594798349,
      -0.00486280679003709,
      -0.00488576136075359,
      -0.004908329763125367,
      -0.004930518477000963
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334266539002845,
      10.092008055396944,
      9.842812992543191,
      9.589558756454624,
      9.334875915239252,
      9.081036613944752,
      8.82993278141331,
      8.5830606446639,
      8.34151780572915,
      8.106028447596405,
      7.876982693321123,
      7.654486315825731,
      7.438416054269934,
      7.228475945305412,
      7.0242509393533785,
      6.82525524320225,
      6.630973969953957,
      6.440897614215565,
      6.254549802468265,
      6.07150896185327,
      5.891419996961683,
      5.713990023296614,
      5.538989407216319,
      5.36627227613793,
      5.195762514919234,
      5.027455658751748,
      4.861453075234554,
      4.697972812494231,
      4.537295042921657,
      4.379728576233939,
      4.225611072254968,
      4.075319344076732,
      3.929234631526785,
      3.7877219210899002,
      3.651118996117639,
      3.519725185723865,
      3.393791450814466,
      3.273514627777073,
      3.1590342852891298,
      3.050420109419231,
      2.9476644535704324,
      2.8506879917370394,
      2.7593281713665623,
      2.673342997437491,
      2.592469666259684,
      2.5164439228047017,
      2.444994407314452,
      2.3778532588908297,
      2.314750860596696,
      2.2553940124795515,
      2.1994134185532537,
      2.1464454215200304,
      2.0961577275446555,
      2.048231953059617,
      2.0023888837013972,
      1.9583937777486815,
      1.9160584443735096,
      1.8752221392767194,
      1.8357523706824581,
      1.7975337433263259,
      1.7604653787472158,
      1.7244665668223014,
      1.6894711429773814,
      1.6554233680551544,
      1.6222772458371868,
      1.5899972085477856,
      1.5585505827483936,
      1.5279063554190384,
      1.4980355300774535,
      1.4689102680080666,
      1.4405037860797498,
      1.4127904066618975,
      1.3857461750293378,
      1.3593470927205058,
      1.333568675724132,
      1.3083883377436836,
      1.2837851132546594,
      1.2597393696588568,
      1.2362326048429715,
      1.2132473034317917,
      1.1907668292899571,
      1.168775343886827,
      1.1472578392814983,
      1.1262009971356974,
      1.1055924970973738,
      1.085420636688442,
      1.065673864424609,
      1.0463406592478879,
      1.0274096856878232,
      1.008869884639388,
      0.9907105222671162,
      0.9729212146442151,
      0.955491935766943,
      0.938413016903053,
      0.9216751396567531,
      0.9052693253592854,
      0.8891869228647231,
      0.8734195951799355,
      0.8579593063094938,
      0.8427983080014333,
      0.8279291269299096,
      0.8133445523319667,
      0.7990376239231338,
      0.7850016201112207,
      0.7712300477621373,
      0.7577166316621703,
      0.7444553048379853,
      0.7314401995664022,
      0.7186656379812572,
      0.7061261240784136,
      0.6938163358869534,
      0.681731117992756,
      0.6698654746222169,
      0.6582145629532317,
      0.646773686443025,
      0.6355382886704104,
      0.6245039481331314,
      0.6136663722291311,
      0.603021392558987,
      0.5925649354282204,
      0.5822929926025294,
      0.5722016845681496,
      0.5622879498658778,
      0.5525492424851883,
      0.5429826990368993,
      0.5335852682467772,
      0.5243538127354526,
      0.515285171777464,
      0.5063761996991454,
      0.49762378938486346,
      0.4890248860882877,
      0.480576495418656,
      0.47227568675434733,
      0.4641195951775732,
      0.45610542168614837,
      0.44823043262480144,
      0.4404919580548163,
      0.432887482592705,
      0.42541485226848863,
      0.4180718877095845,
      0.4108563363230039,
      0.4037659194225944,
      0.3967983611055746,
      0.3899514060694905,
      0.3832228302880752,
      0.37661044742311217,
      0.3701121115182547,
      0.36372572057763125,
      0.3574493449051428,
      0.35128115229770673,
      0.34521927552317916,
      0.33926184081513133,
      0.33340698509526945,
      0.32765286627048784,
      0.32199766924712064,
      0.31643960965124085,
      0.310976945336525,
      0.3056079999567521,
      0.3003311222171534,
      0.295144679585666,
      0.2900470636038895,
      0.2850366922777172,
      0.2801120117516934,
      0.2752714968966133,
      0.2705136513151627,
      0.2658370074327094,
      0.2612401260545251,
      0.25672159581367116,
      0.2522800326257642,
      0.2479140790897631,
      0.243622341935253,
      0.23940326997707037,
      0.2352553914405517,
      0.23117733849515743,
      0.2271678173235425,
      0.22322558921175595,
      0.2193494583693662,
      0.2155382638541163,
      0.21179089852484517,
      0.20810660309596674,
      0.2044847332286924,
      0.2009244881231563,
      0.19742497520172658,
      0.19398524744722676,
      0.19060424660846215,
      0.18728087222100953,
      0.18401407319274726,
      0.1808028361258199,
      0.1776461779838614,
      0.17454314125175024,
      0.17149279046297825,
      0.16849421033197717,
      0.16554650402135532,
      0.16264879222050785,
      0.1598002123394844,
      0.15699991775213656,
      0.15424707744431296,
      0.15154087547337683,
      0.14888051065927946,
      0.1462651960292485,
      0.14369415889292203,
      0.14116664021880926,
      0.13868189454573057,
      0.13623918971648666,
      0.1338378064714868,
      0.13147703811834,
      0.1291561906198888,
      0.12687458210267347,
      0.124631542637535,
      0.12242641412636453,
      0.12025854998314688,
      0.1181273149208649,
      0.11603208477960002,
      0.11397224621178426,
      0.11194719678299807,
      0.10995634441465446,
      0.10799910736867775,
      0.10607491394124033,
      0.10418320234823318,
      0.10232342058596015,
      0.10049502627977983,
      0.09869748652663184,
      0.09693027753370653,
      0.09519288451687177,
      0.09348480166771883,
      0.09180553182018664,
      0.09015458636955513,
      0.08853148508072785,
      0.08693575602721254,
      0.08536693551126515,
      0.08382456765304898,
      0.08230820450044674,
      0.08081740574022905,
      0.07935173861424452,
      0.07791077788809253,
      0.07649410538489047,
      0.07510131017427145,
      0.07373198855818142,
      0.07238574343997971,
      0.07106218459221274,
      0.06976092857358321,
      0.0684815984608362,
      0.06722382364237656,
      0.06598723985723484,
      0.06477148911790954,
      0.06357621941674989,
      0.06240108487808805,
      0.06124574553160215,
      0.06010986704733845,
      0.05899312084763279,
      0.05789518398589588,
      0.056815739036822105,
      0.05575447381925477,
      0.054711081523690586,
      0.05368526063377825,
      0.05267671464509386,
      0.05168515208571675,
      0.050710286460201426,
      0.04975183618052882,
      0.04880952442307583,
      0.04788307897200034,
      0.04697223223562318,
      0.046076721248651656,
      0.045196287475508815,
      0.04433067661767406,
      0.043479638796655444,
      0.04264292834022812,
      0.04182030381345133,
      0.04101152776066373,
      0.04021636680630937,
      0.039434591541910535,
      0.03866597639045627,
      0.03791029961217741,
      0.03716734315364666,
      0.03643689264453045,
      0.035718737440146184,
      0.03501267041725653,
      0.03431848787917773,
      0.03363598967760448,
      0.032964978998047394,
      0.032305262342575004,
      0.03165664944275215,
      0.031018953210252817,
      0.030391989808099845,
      0.029775578594351797,
      0.02916954176640523,
      0.0285737045890409,
      0.0279878953286776,
      0.027411945173878904,
      0.026845688065316054,
      0.02628896074010745,
      0.025741602812435507,
      0.02520345654705757,
      0.024674366789587326,
      0.024154181103834514,
      0.023642749582663967,
      0.023139924744924087,
      0.022645561588060855,
      0.022159517817735595,
      0.02168165336669286,
      0.021211830561077324,
      0.020749914080540745,
      0.020295770740153412,
      0.0198492697261081,
      0.01941028240119665,
      0.018978682342140396,
      0.01855434520668004,
      0.01813714873651985,
      0.01772697265363046,
      0.01732369877435049,
      0.016927211010654374,
      0.016537395042347105,
      0.016154138632826734,
      0.015777331405047564,
      0.015406864848246885,
      0.015042632121490518,
      0.014684528264617958,
      0.014332450276677282,
      0.01398629666763538,
      0.013645967626568282,
      0.01331136531116148,
      0.012982393393916488,
      0.01265895704078245,
      0.012340963124496458,
      0.01202832000573537,
      0.011720937644391877,
      0.011418727462771146,
      0.011121602429317406,
      0.010829476980181305,
      0.010542266970103124,
      0.010259889665909471,
      0.009982263759147974,
      0.009709309314339115,
      0.009440947760603315,
      0.009177101818928796,
      0.008917695440673504,
      0.008662653980043972,
      0.00841190389466974,
      0.008165373055189995,
      0.007922990443025482,
      0.007684686202621827,
      0.007450391647331339,
      0.007220039422378479,
      0.006993563189508419,
      0.006770897640376456,
      0.006551978679186119,
      0.006336743266575758,
      0.006125129496643332,
      0.005917076449402885,
      0.005712524098079788,
      0.005511413486839219,
      0.005313686836822351,
      0.005119287128234364,
      0.004928158385808211,
      0.0047402455988170365,
      0.004555494626077868,
      0.004373852307974941,
      0.004195266200410943,
      0.004019684941662147,
      0.003847058037878145,
      0.0036773358875575846,
      0.0035104695105661757,
      0.003346410724869698,
      0.003185112421651983,
      0.0030265280564973096,
      0.002870612051392012,
      0.0027173195584068747,
      0.0025666063411118995,
      0.002418429039911783,
      0.00227274500192521,
      0.002129512202396447,
      0.0019886893788700556,
      0.0018502360345693557,
      0.001714112349513389,
      0.0015802790620361316,
      0.0014486975630490044,
      0.0013193300305466508,
      0.00119213925578618,
      0.0010670886373299073,
      0.0009441421070336476,
      0.0008232643256657204,
      0.0007044205252958323,
      0.0005875763979832811,
      0.0004726983110496172,
      0.0003597531814766067,
      0.0002487084350151866,
      0.00013953204380523233,
      3.2192642235721736e-05,
      -7.334069799369674e-05,
      -0.00017709830926132785,
      -0.00027910998998847367,
      -0.00037940524870084136,
      -0.0004780129174152204,
      -0.0005749614558091402,
      -0.0006702787636981424,
      -0.0007639923035215895,
      -0.0008561290300108101,
      -0.0009467154449671997,
      -0.0010357776442792527,
      -0.0011233413119659925,
      -0.001209431630361993,
      -0.0012940734362781796,
      -0.0013772910448353966,
      -0.0014591083576793729,
      -0.001539548995022757,
      -0.0016186361976051964,
      -0.001696392631521971,
      -0.0017728407763808794,
      -0.0018480026254035654,
      -0.001921899835393949,
      -0.0019945536463545754,
      -0.0020659849521609984,
      -0.002136214280824145,
      -0.0022052620469052145,
      -0.0022731480908260147,
      -0.0023398918528030614,
      -0.0024055125946154145,
      -0.002470029246267091,
      -0.002533460391594925,
      -0.00259582421408454,
      -0.0026571387078378967,
      -0.0027174214941133473,
      -0.0027766899222008827,
      -0.0028349611183670943,
      -0.0028922518496081735,
      -0.0029485785513835264,
      -0.0030039574683557594,
      -0.003058404597480387,
      -0.0031119356297031027,
      -0.0031645659226112147,
      -0.0032163105798741053,
      -0.0032671846123198817,
      -0.0033172026404057363,
      -0.0033663791493146245,
      -0.00341472825274901,
      -0.0034622637102808594,
      -0.0035089993632212682,
      -0.0035549486480979243,
      -0.003600124763882878,
      -0.0036445406984382278,
      -0.003688209343157316,
      -0.003731143244504444,
      -0.003773354742419342,
      -0.0038148559551211218,
      -0.003855658833038401,
      -0.003895775148510836,
      -0.0039352165165558416,
      -0.003973994236848668,
      -0.0040121194525724845,
      -0.004049603226018975,
      -0.004086456359391934,
      -0.00412268937362507,
      -0.004158312702432363,
      -0.0041933366758665335,
      -0.00422777126827483,
      -0.0042616264428001925,
      -0.004294912069799152,
      -0.004327637634569489,
      -0.0043598125101120076,
      -0.0043914460447435745,
      -0.004422547274407892,
      -0.004453125104545266,
      -0.004483188408492366,
      -0.004512745947969816,
      -0.004541806133819912,
      -0.004570377383522853,
      -0.004598467938075945,
      -0.004626085887732742,
      -0.00465323919123554,
      -0.004679935528924541,
      -0.004706182669933721,
      -0.004731988305583957,
      -0.004757359710603659,
      -0.0047823041597428164,
      -0.004806828860946559,
      -0.004830940862739676,
      -0.004854647183684063,
      -0.0048779546171841635,
      -0.004900869802972176,
      -0.00492339942472417,
      -0.004945549937211391
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334264237061927,
      10.091997773322603,
      9.84278951925481,
      9.589517074742966,
      9.334812105940266,
      9.08094798323452,
      8.82981766236442,
      8.58291808165421,
      8.341347357079384,
      8.105830020376233,
      7.876756407680523,
      7.654232406035868,
      7.4381347988999,
      7.228167628078819,
      7.023915834612949,
      6.824893621426001,
      6.630586118101149,
      6.440483864885091,
      6.254110625202001,
      6.071044964586287,
      5.890931984499951,
      5.713479045019938,
      5.538456727724499,
      5.365719401213842,
      5.195191043667109,
      5.0268676113237385,
      4.86085124151478,
      4.697360512430618,
      4.536675609080382,
      4.379105360915116,
      4.22498757995874,
      4.074699272371847,
      3.9286215253757435,
      3.787119107665636,
      3.650529525875955,
      3.519151792433431,
      3.393236513695754,
      3.2729801451173843,
      3.1585218596673625,
      3.049930777978455,
      2.9471986461479878,
      2.850245643971287,
      2.7589084845403757,
      2.672944778230415,
      2.5920915848103494,
      2.5160844157234856,
      2.4446519171489456,
      2.3775262416171916,
      2.314437669806849,
      2.255092813928597,
      2.199121996667727,
      2.1461617793755434,
      2.0958798796483133,
      2.047958127264907,
      2.0021176655810313,
      1.958124120479679,
      1.9157895713259807,
      1.874953471897812,
      1.835483495253079,
      1.7972642507983345,
      1.7601949471369305,
      1.7241949856014491,
      1.6891982783885875,
      1.655149139145915,
      1.6220019954715013,
      1.5897213293740293,
      1.558274335382589,
      1.5276299300076226,
      1.49775906069953,
      1.468633846011138,
      1.44022747486533,
      1.4125142521058236,
      1.3854702248538444,
      1.3590714012712448,
      1.3332932877433952,
      1.308113286324188,
      1.2835104246925535,
      1.259465066355978,
      1.23595870661465,
      1.2129738285934692,
      1.1904937954722292,
      1.1685027686810256,
      1.1469857481925179,
      1.1259294266524909,
      1.1053214826019593,
      1.0851502164335303,
      1.0654040687464383,
      1.0460715140502985,
      1.0271412138677574,
      1.0086021067791608,
      0.9904434575097323,
      0.9726548812949001,
      0.9552263518773161,
      0.9381482001257503,
      0.9214111075411471,
      0.9050060951232282,
      0.8889245117090719,
      0.873158020130512,
      0.8576985843492959,
      0.8425384559842272,
      0.827670161429577,
      0.8130864898325654,
      0.798780480767236,
      0.7847454125358834,
      0.7709747917440959,
      0.757462342876848,
      0.7442019990135491,
      0.7311878919094641,
      0.7184143433785743,
      0.7058758572613106,
      0.693567111533006,
      0.6814829506138613,
      0.6696183783145172,
      0.6579685512628439,
      0.6465287725006327,
      0.6352944854927317,
      0.6242612680503233,
      0.613424827496847,
      0.6027809950705743,
      0.5923256965708757,
      0.5820549233827927,
      0.5719648057229826,
      0.5620523533765398,
      0.5523150118697284,
      0.542749888309637,
      0.5333539125104966,
      0.5241239349914073,
      0.515056787297659,
      0.5061493189923265,
      0.4973984197405679,
      0.4888010327733546,
      0.4803541620458205,
      0.4720548759949291,
      0.4639003091855887,
      0.4558876618781421,
      0.448014199909377,
      0.4402772530551468,
      0.4326743257318222,
      0.4252032663418376,
      0.41786188619011344,
      0.41064792645909665,
      0.40355910459667094,
      0.39659314230974063,
      0.3897477827062215,
      0.38302080073250183,
      0.3764100090430058,
      0.36991326124625856,
      0.3635284597501579,
      0.3572536805326364,
      0.351087086845323,
      0.34502680834098176,
      0.33907096950150356,
      0.3332177061255109,
      0.3274651749950469,
      0.3218115605183971,
      0.31625507800088204,
      0.31079398614017933,
      0.3054266089596759,
      0.3001512941923149,
      0.2949664088434321,
      0.28987034373466225,
      0.2848615165634321,
      0.2799383733322777,
      0.27509938864129585,
      0.2703430659831068,
      0.26566793776774594,
      0.2610725644710626,
      0.25655553467719155,
      0.2521154641496982,
      0.24775099526841182,
      0.24346074023623804,
      0.23924315008585587,
      0.2350967500649776,
      0.2310201703530974,
      0.22701211598064477,
      0.22307134757058616,
      0.21919666878561544,
      0.2153869183385765,
      0.21164098436520598,
      0.207958101265176,
      0.20433762841441308,
      0.20077876729178026,
      0.1972806267566248,
      0.19384225903127356,
      0.19046260405790208,
      0.1871405633354553,
      0.1838750869942179,
      0.180665162363642,
      0.17750980689628643,
      0.17440806325853908,
      0.17135899616362335,
      0.16836169063071016,
      0.16541524974391264,
      0.1625187942771393,
      0.1596714616329199,
      0.15687240522535673,
      0.15412079393661487,
      0.15141581169038013,
      0.1487566573070959,
      0.14614254397999804,
      0.14357269898140063,
      0.14104636322950928,
      0.13856279121841553,
      0.1361212507317306,
      0.13372102255045917,
      0.13136140003326033,
      0.1290416890767682,
      0.1267612077700098,
      0.12451928632726496,
      0.12231526657417875,
      0.12014850193991708,
      0.11801835716112487,
      0.11592420810974688,
      0.11386544149107339,
      0.11184145476632475,
      0.10985165593803117,
      0.1078954631913402,
      0.1059723048670753,
      0.10408161934101051,
      0.10222285466849634,
      0.10039546842055873,
      0.09859892756395067,
      0.09683270834108258,
      0.09509629596477939,
      0.09338918473774778,
      0.09171087749694451,
      0.09006088573598262,
      0.08843872928637543,
      0.08684393629470587,
      0.08527604299671705,
      0.08373459353516008,
      0.08221914002494048,
      0.0807292422484314,
      0.07926446750225996,
      0.07782439036845455,
      0.07640859284894308,
      0.07501666421782223,
      0.07364820056879169,
      0.07230280493420739,
      0.07098008728911631,
      0.06967966415736687,
      0.0684011585118147,
      0.06714419981864247,
      0.06590842388916882,
      0.06469347278004298,
      0.06349899458629543,
      0.06232464352347,
      0.061170079653735984,
      0.06003496868425082,
      0.058918982155975304,
      0.05782179709668608,
      0.056743096111526364,
      0.05568256710919798,
      0.05463990333109154,
      0.05361480324763479,
      0.052606970438950226,
      0.051616113577698665,
      0.050641946185892746,
      0.049684186683540334,
      0.0487425582042981,
      0.047816788674022025,
      0.046906610566875145,
      0.04601176095538565,
      0.045131981371220736,
      0.04426701762241415,
      0.043416619855668685,
      0.0425805424698274,
      0.041758544010734,
      0.04095038716734468,
      0.04015583857088207,
      0.039374668834673034,
      0.038606652402451355,
      0.037851567643607004,
      0.03710919657510615,
      0.03637932489686605,
      0.03566174195160896,
      0.034956240705443224,
      0.03426261761503647,
      0.03358067252095995,
      0.03291020856661971,
      0.03225103228261941,
      0.031602953595254155,
      0.030965785567874913,
      0.030339344377412508,
      0.029723449410759727,
      0.029117922959959238,
      0.028522590291677228,
      0.02793727974033177,
      0.02736182244449214,
      0.026796052418614238,
      0.026239806444557166,
      0.025692924267140895,
      0.025155248062645047,
      0.024626622871442478,
      0.02410689624620203,
      0.02359591825349016,
      0.023093541644217154,
      0.022599621493669893,
      0.02211401548199854,
      0.021636583610848848,
      0.021167188222971454,
      0.020705694032736564,
      0.02025196792091099,
      0.019805879151302296,
      0.019367299049495357,
      0.018936101300601457,
      0.01851216160086102,
      0.018095357673161505,
      0.01768556935412416,
      0.01728267862602719,
      0.016886569370637164,
      0.016497127461266633,
      0.016114240531808363,
      0.015737798089928094,
      0.015367691707323859,
      0.01500381479192584,
      0.014646062520015133,
      0.014294331698846688,
      0.0139485209919376,
      0.013608530744208362,
      0.013274262960395095,
      0.012945621289795168,
      0.01262251115725828,
      0.012304839494215099,
      0.011992514640873173,
      0.01168544658471084,
      0.01138354680468202,
      0.011086728216484359,
      0.0107949053911202,
      0.010507994232226621,
      0.010225912136331238,
      0.009948577668455692,
      0.009675910949117192,
      0.009407833448913147,
      0.00914426797318564,
      0.00888513856897477,
      0.008630370551500633,
      0.008379890478446703,
      0.00813362621154193,
      0.007891506703439563,
      0.007653462196338799,
      0.007419424113298965,
      0.007189325139220257,
      0.006963098924932956,
      0.0067406802465444894,
      0.006522004933964209,
      0.006307010045462624,
      0.006095633633243561,
      0.005887814850254728,
      0.005683493851354646,
      0.005482611679312197,
      0.005285110395958285,
      0.005090933102953844,
      0.00490002394106385,
      0.0047123278964627206,
      0.004527790845408345,
      0.004346359698297346,
      0.004167982197633318,
      0.003992606897206185,
      0.0038201832402236387,
      0.003650661538820343,
      0.0034839929827472577,
      0.003320129505044166,
      0.0031590238285256534,
      0.0030006296812337897,
      0.0028449013537631376,
      0.0026917939970715443,
      0.0025412634972003254,
      0.0023932665440267375,
      0.0022477604737139723,
      0.0021047033750265518,
      0.0019640539691900432,
      0.001825771746894433,
      0.0016898168601135375,
      0.001556150118372957,
      0.0014247330575339117,
      0.001295527769644368,
      0.0011684970405701918,
      0.0010436042990562841,
      0.0009208136005570244,
      0.0008000895052991277,
      0.0006813972061534243,
      0.0005647025384170625,
      0.0004499718581738589,
      0.00033717216501524876,
      0.0002262709468161129,
      0.0001172363002625565,
      1.0036805538979687e-05,
      -9.53585397859283e-05,
      -0.00019898008607631163,
      -0.000300857657343053,
      -0.00040102058547675066,
      -0.0004994978000007169,
      -0.0005963177000351546,
      -0.0006915080556984543,
      -0.0007850962954164884,
      -0.0008771093907985534,
      -0.0009675737462240597,
      -0.0010565155699697737,
      -0.0011439604297359453,
      -0.001229933556666269,
      -0.001314459772716437,
      -0.0013975633017887965,
      -0.0014792681892351884,
      -0.0015595979955877863,
      -0.0016385758826411513,
      -0.00171622464717933,
      -0.0017925665113360722,
      -0.001867623547253857,
      -0.0019414173437177135,
      -0.00201396916093993,
      -0.002085299854915103,
      -0.0021554298958578163,
      -0.0022243795883954416,
      -0.0022921688268211634,
      -0.0023588170461370755,
      -0.0024243435972187664,
      -0.0024887672755698684,
      -0.0025521067835563233,
      -0.0026143803327240743,
      -0.00267560579194346,
      -0.0027358008082048664,
      -0.002794982697778349,
      -0.0028531684507801997,
      -0.002910374963224404,
      -0.0029666186706051537,
      -0.003021915758928954,
      -0.0030762822154698976,
      -0.0031297336053105313,
      -0.0031822853614384417,
      -0.0032339526926881425,
      -0.0032847503825537546,
      -0.003334693197226337,
      -0.003383795447329372,
      -0.0034320711903896507,
      -0.0034795344640972943,
      -0.0035261989789124653,
      -0.003572078114629886,
      -0.003617185087606318,
      -0.0036615328941005834,
      -0.0037051343424749326,
      -0.003748001944362238,
      -0.0037901480211611337,
      -0.003831584752306019,
      -0.0038723240513579556,
      -0.003912377657286763,
      -0.003951757174186365,
      -0.003990473913332709,
      -0.004028539026573191,
      -0.004065963543866291,
      -0.004102758231988713,
      -0.0041389335859922174,
      -0.004174500099369352,
      -0.00420946803809648,
      -0.0042438473855431055,
      -0.004277648072488354,
      -0.004310879952536694,
      -0.004343552573528672,
      -0.004375675234140759,
      -0.0044072572240191985,
      -0.00443830768213417,
      -0.004468835594371094,
      -0.004498849688953882,
      -0.004528358610740549,
      -0.004557370853302744,
      -0.004585894760393512,
      -0.0046139386160340716,
      -0.004641510537036295,
      -0.004668618441462369,
      -0.004695270060363879,
      -0.0047214731081818544,
      -0.004747235204926539,
      -0.00477256371519338,
      -0.004797465891678694,
      -0.004821948916241685,
      -0.004846019902751551,
      -0.00486968583595836,
      -0.004892953458954942,
      -0.004915829458591314,
      -0.004938320460133149,
      -0.004960432900359806
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334261936646888,
      10.091987497753587,
      9.842766059311659,
      9.589475413371533,
      9.334748320102758,
      9.080859376652167,
      8.82970256218873,
      8.582775528536917,
      8.34117690762597,
      8.10563158084201,
      7.876530099398141,
      7.653978464043001,
      7.437853502662748,
      7.227859261989882,
      7.023580673669594,
      6.824531936131477,
      6.630198193718009,
      6.440070033192564,
      6.253671355726528,
      6.070580865945555,
      5.890443861443374,
      5.712967950804326,
      5.537923929715411,
      5.365166406930515,
      5.194619453694844,
      5.026279446935785,
      4.860249442695394,
      4.696748374896113,
      4.536056438765594,
      4.378482493911471,
      4.224364610724528,
      4.074079872818739,
      3.928009216094491,
      3.786517192795065,
      3.649941035606322,
      3.518579442791576,
      3.3926826669493093,
      3.27244678331178,
      3.1580105731418113,
      3.049442592314367,
      2.946733981237411,
      2.849804426167455,
      2.7584899077658878,
      2.6725476441579974,
      2.591714559654625,
      2.515725933465037,
      2.444310418508854,
      2.3772001812266526,
      2.314125401396999,
      2.2547925037567644,
      2.1988314311309844,
      2.1458789466588253,
      2.0956027835798974,
      2.047685006428557,
      2.001847115395738,
      1.957855101613248,
      1.91552131282906,
      1.8746854002376572,
      1.8352152004953377,
      1.796995326839494,
      1.759925074571468,
      1.7239239554443397,
      1.6889259579955762,
      1.6548754479887902,
      1.6217272772144156,
      1.5894459781947388,
      1.5579986130347367,
      1.5273540277886144,
      1.4974831141564513,
      1.468357946698527,
      1.43995168614693,
      1.4122386191665457,
      1.3851947948839818,
      1.3587962282924968,
      1.333018416380054,
      1.3078387505185052,
      1.283236251285083,
      1.2591912775291139,
      1.235685322877538,
      1.2127008686982002,
      1.1902212776354661,
      1.1682307106184353,
      1.1467141755289167,
      1.12565837588978,
      1.1050509893320064,
      1.0848803193664578,
      1.0651347985164985,
      1.045802896547031,
      1.0268732714064055,
      1.0083348597067505,
      0.9901769252314865,
      0.9723890822654406,
      0.9549613040308546,
      0.9378839213408442,
      0.9211476152241399,
      0.9047434066396141,
      0.8886626440878148,
      0.8728969903116267,
      0.8574384093147424,
      0.842279152620802,
      0.8274117463259486,
      0.8128289793674257,
      0.7985238911579987,
      0.7844897598994217,
      0.7707200921190532,
      0.7572086122082763,
      0.7439492527937159,
      0.7309361451876787,
      0.7181636110640858,
      0.705626154032305,
      0.6933184517598825,
      0.6812353482710558,
      0.669371847109669,
      0.6577231050863985,
      0.6462844248479053,
      0.6350512493340397,
      0.6240191560208158,
      0.613183851949066,
      0.6025411680414768,
      0.5920870293322539,
      0.5818174266423387,
      0.5717285303278289,
      0.5618174037127305,
      0.5520814544095738,
      0.5425177660272643,
      0.5331232537844948,
      0.5238947588400372,
      0.5148291064399934,
      0.5059231420933475,
      0.49717375302516115,
      0.48857788063297475,
      0.4801325279124943,
      0.47183476241735267,
      0.4636817179718252,
      0.45567059450975855,
      0.4477986574660723,
      0.44006323620785054,
      0.4324618563298079,
      0.4249923662987995,
      0.41765256861181965,
      0.41044019868827103,
      0.4033529699607356,
      0.39638860172270746,
      0.3895448355711739,
      0.38281944517244604,
      0.37621024250499996,
      0.3697150807935354,
      0.3633318665452597,
      0.3570586815263222,
      0.3508936843530311,
      0.3448350019179531,
      0.3388807567084328,
      0.3330290831950319,
      0.32727813750281837,
      0.32162610342582926,
      0.3160711958828908,
      0.31061167479572244,
      0.3052458640090891,
      0.2999721103968741,
      0.29478878034792005,
      0.2896942643558453,
      0.28468697961722006,
      0.2797653717618485,
      0.274927915383394,
      0.27017311382385195,
      0.26549949919565724,
      0.26090563189572763,
      0.25639010034071297,
      0.2519515202773988,
      0.24758853410362178,
      0.24329975735360185,
      0.23908364579997332,
      0.2349387216523588,
      0.2308636131184393,
      0.22685702379204764,
      0.22291771342579927,
      0.2190444851446848,
      0.21523617723708396,
      0.21149167299830177,
      0.20781020039475215,
      0.20419112271618997,
      0.20063364381715235,
      0.19713687416778639,
      0.19369986494639407,
      0.19032155417013397,
      0.18700084538608855,
      0.18373669005666593,
      0.18052807619600858,
      0.17737402170292374,
      0.17427356955420123,
      0.17122578480992817,
      0.16822975223689962,
      0.1652845751605069,
      0.1623893743961497,
      0.15954328737228035,
      0.15674546734762837,
      0.1539950832478139,
      0.15129131915591684,
      0.1486333738562695,
      0.14602046046879377,
      0.14345180611617223,
      0.14092665171907007,
      0.13844425188065684,
      0.13600387440987433,
      0.13360479999054606,
      0.13124632204712905,
      0.12892774643809135,
      0.12664839128766617,
      0.12440758660675162,
      0.12220467437599007,
      0.1200390080484711,
      0.11790995234865984,
      0.11581688313221422,
      0.11375918715296597,
      0.11173626187776745,
      0.10974751524606735,
      0.10779236560980665,
      0.10587024132513695,
      0.10398058065697872,
      0.10212283177924675,
      0.10029645225494176,
      0.09850090906865193,
      0.09673567851285764,
      0.09500024584441447,
      0.09329410530230528,
      0.09161675980602549,
      0.08996772076010655,
      0.08834650813551274,
      0.08675265011337853,
      0.08518568295776643,
      0.08364515092236655,
      0.08213060607745044,
      0.08064160829135714,
      0.07917772485136276,
      0.07773853045109431,
      0.07632360718556812,
      0.07493254426668938,
      0.07356493788223283,
      0.0722203909842796,
      0.07089851354122279,
      0.06959892224193373,
      0.0683212401772375,
      0.06706509671934692,
      0.06583012784066977,
      0.06461597564894854,
      0.06342228831693003,
      0.06224872001226426,
      0.06109493075673982,
      0.05996058647939675,
      0.05884535876029711,
      0.05774892463022862,
      0.05667096673760952,
      0.05561117300136197,
      0.05456923678663104,
      0.05354485661047998,
      0.052537736089758647,
      0.05154758388569005,
      0.05057411359734716,
      0.04961704379169916,
      0.04867609771772896,
      0.04775100330923447,
      0.046841493023662265,
      0.04594730399062652,
      0.045068177745716115,
      0.0442038601300967,
      0.043354101420191415,
      0.04251865606631318,
      0.041697282740494536,
      0.040889744330094145,
      0.04009580734297623,
      0.03931524245586293,
      0.03854782411804043,
      0.03779333074819613,
      0.037051544431306135,
      0.036322251024076324,
      0.035605239918402955,
      0.03490030391367504,
      0.03420723961783202,
      0.03352584695958778,
      0.03285592916487828,
      0.03219729292431707,
      0.03154974813497344,
      0.030913107851837856,
      0.030287188257539815,
      0.029671808790777344,
      0.02906679183546191,
      0.028471962834751657,
      0.027887149997024206,
      0.027312184610731424,
      0.026746900823758638,
      0.02619113546591717,
      0.02564472826978452,
      0.025107521581147988,
      0.024579360365799423,
      0.024060092188311403,
      0.023549567258341193,
      0.023047638334391028,
      0.02255416066282374,
      0.022068991880649036,
      0.021591991960777896,
      0.021123023406675497,
      0.020661950882333812,
      0.02020864144613978,
      0.01976296430374702,
      0.019324791014689088,
      0.018893995097427545,
      0.0184704522783651,
      0.0180540404501761,
      0.017644639537102692,
      0.01724213143801105,
      0.01684640009790816,
      0.016457331377645417,
      0.01607481317291211,
      0.01569873511461341,
      0.01532898866442419,
      0.014965467192077463,
      0.0146080659769941,
      0.014256682020616024,
      0.013911214017737787,
      0.013571562214019253,
      0.01323762866993136,
      0.012909317137481486,
      0.012586532893074863,
      0.012269182900118338,
      0.011957175743212199,
      0.011650421428761947,
      0.011348831528629073,
      0.011052319044035327,
      0.010760798449841817,
      0.010474185748078587,
      0.010192398259608293,
      0.009915354745195015,
      0.009642975366676453,
      0.009375181628207874,
      0.009111896265702364,
      0.008853043426872164,
      0.008598548405609346,
      0.00834833781959762,
      0.008102339665943762,
      0.007860482866719143,
      0.0076226977219212965,
      0.0073889156294089505,
      0.007159069343827277,
      0.006933092629953549,
      0.0067109202699861675,
      0.0064924882401893955,
      0.0062777335103904345,
      0.0060665942041359285,
      0.00585900944450569,
      0.005654919433497237,
      0.005454265204556129,
      0.005256988950984989,
      0.005063033830869491,
      0.004872343998339796,
      0.004684864416248323,
      0.004500541079261941,
      0.004319320788880775,
      0.004141151288293138,
      0.00396598126078457,
      0.0037937603002295615,
      0.0036244386621104045,
      0.0034579674945703818,
      0.003294298850235862,
      0.003133385574216242,
      0.00297518120163316,
      0.0028196401637697655,
      0.0026667177043725775,
      0.002516369761158109,
      0.00236855289458589,
      0.002223224429019631,
      0.0020803425398289144,
      0.0019398660254328157,
      0.0018017544445541552,
      0.0016659679256103392,
      0.0015324674111872802,
      0.0014012143581669154,
      0.0012721709109320724,
      0.0011452999054929066,
      0.0010205646915945506,
      0.0008979293261725566,
      0.0007773585021363051,
      0.0006588175306895311,
      0.0005422721286474118,
      0.0004276887738760541,
      0.0003150344017929716,
      0.00020427649192949625,
      9.538324556704132e-05,
      -1.1676761693527914e-05,
      -0.00011693444266125744,
      -0.00022042009706822518,
      -0.00032216354329900077,
      -0.000422194152884484,
      -0.0005205407939184219,
      -0.0006172318170716885,
      -0.0007122950019219302,
      -0.0008057577354701044,
      -0.0008976470945185984,
      -0.0009879894876115621,
      -0.0010768109939755435,
      -0.0011641372878338537,
      -0.0012499935036885844,
      -0.0013344043097688952,
      -0.0014173940049161567,
      -0.00149898660109145,
      -0.0015792055805474777,
      -0.0016580740770291609,
      -0.0017356149094634181,
      -0.0018118503597987306,
      -0.0018868023875998174,
      -0.0019604926083015848,
      -0.0020329422634987127,
      -0.002104172221623625,
      -0.002174203072664446,
      -0.002243054967092092,
      -0.002310747701359746,
      -0.0023773008019219452,
      -0.002442733500607778,
      -0.0025070645871113563,
      -0.0025703127182886984,
      -0.0026324961540504744,
      -0.002693632816470286,
      -0.0027537402456812845,
      -0.0028128357957733414,
      -0.0028709365122577663,
      -0.0029280590589838545,
      -0.0029842199999179963,
      -0.0030394354313541283,
      -0.0030937213127001386,
      -0.0031470933188661957,
      -0.003199566838290721,
      -0.0032511569443648995,
      -0.003301878473684703,
      -0.0033517461796673874,
      -0.0034007743706328257,
      -0.0034489771504434066,
      -0.0034963684166710025,
      -0.0035429618960450176,
      -0.0035887709694693115,
      -0.0036338088389295253,
      -0.0036780884838522746,
      -0.0037216227312542854,
      -0.0037644241596963123,
      -0.0038065050724205396,
      -0.003847877462993313,
      -0.0038885533295479023,
      -0.003928544435506458,
      -0.003967862330432385,
      -0.0040065182807776985,
      -0.004044523377981382,
      -0.0040818886580263145,
      -0.004118624979545102,
      -0.0041547427611372265,
      -0.004190252562868117,
      -0.004225164536170318,
      -0.004259488724593279,
      -0.004293235090478527,
      -0.004326413223106689,
      -0.004359032828301876,
      -0.0043911033273927634,
      -0.004422633868775741,
      -0.004453633561242511,
      -0.004484111350360819,
      -0.004514076098505409,
      -0.004543536466623108,
      -0.004572500884724435,
      -0.004600977718817161,
      -0.004628975163609092,
      -0.0046565012745605995,
      -0.004683563961491089,
      -0.0047101709624570495,
      -0.004736329943981313,
      -0.00476204856307501,
      -0.0047873342426125185,
      -0.0048121942578014994,
      -0.004836635720478853,
      -0.0048606657659184165,
      -0.004884291230713515,
      -0.004907519061644131,
      -0.004930355872068404,
      -0.004952808171461707,
      -0.00497488253733557
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334259635418046,
      10.091977216288232,
      9.842742582866448,
      9.589433716819185,
      9.334684474588814,
      9.080770682451448,
      8.829587346813021,
      8.582632830763544,
      8.341006281246042,
      8.105432931337214,
      7.876303548710549,
      7.65372424550057,
      7.437571895417582,
      7.227550550113701,
      7.023245133174459,
      6.824169837627144,
      6.629809825752839,
      6.439655730343804,
      6.253231589413865,
      6.070116245307533,
      5.8899551940449015,
      5.71245629093956,
      5.537390544764362,
      5.364612804192577,
      5.194047235807232,
      5.025690637813045,
      4.859647024141961,
      4.696135616509021,
      4.535436618283387,
      4.377858946706929,
      4.223740950650582,
      4.073459777858535,
      3.9273962118044414,
      3.78591458759878,
      3.6493518624037704,
      3.5180064207092756,
      3.392128161483414,
      3.2719127798160272,
      3.157498663273648,
      3.0489538021840765,
      2.9462687311817897,
      2.8493626430517356,
      2.758070785281617,
      2.6721499824529964,
      2.59133702447631,
      2.515366958657115,
      2.4439684453010835,
      2.3768736646968747,
      2.3138126948812867,
      2.2544917725124916,
      2.1985404593636853,
      2.1455957173483626,
      2.095325297357756,
      2.0474115037955842,
      2.001576193152269,
      1.9575857211323395,
      1.9152527041966567,
      1.87441699001822,
      1.8349465791628832,
      1.796726088556141,
      1.7596548991689307,
      1.7236526341346288,
      1.6886533583799594,
      1.6546014899386967,
      1.621452304646996,
      1.5891703856533077,
      1.5577226627562284,
      1.5270779108625732,
      1.4972069655407387,
      1.4680818581003916,
      1.4396757209639925,
      1.4119628226044014,
      1.3849192137880475,
      1.3585209169945756,
      1.3327434195576702,
      1.307564101150182,
      1.282961975860932,
      1.2589173982420467,
      1.2354118589322973,
      1.2124278383140985,
      1.1899486984040375,
      1.1679586002006863,
      1.146442559609042,
      1.1253872916535799,
      1.104780472003894,
      1.0846104071035318,
      1.0648655215707652,
      1.0455342801902545,
      1.0266053385250709,
      1.0080676308331293,
      0.9899104196738339,
      0.9721233185062222,
      0.9546963001079142,
      0.9376196948039031,
      0.9208841833798219,
      0.9044807866784665,
      0.8884008530427966,
      0.8726360451034116,
      0.8571783265271672,
      0.8420199489731652,
      0.8271534387757378,
      0.8125715846915541,
      0.7982674256974323,
      0.7842342395699959,
      0.7704655324845175,
      0.7569550285653897,
      0.7436966603972995,
      0.7306845593618887,
      0.7179130469462132,
      0.70537662627935,
      0.6930699746754405,
      0.6809879360480161,
      0.6691255136805557,
      0.6574778636575935,
      0.6460402884906676,
      0.6348082309547785,
      0.6237772683473877,
      0.6129431071514342,
      0.6023015778759627,
      0.5918486047927243,
      0.581580178440891,
      0.5714925096238102,
      0.5615827145963969,
      0.55184816344178,
      0.542285916477374,
      0.5328928738718814,
      0.5236658670965835,
      0.5146017154820783,
      0.5056972605862894,
      0.49694938694066554,
      0.48835503456762624,
      0.47991120504656193,
      0.47161496517469653,
      0.46346344813709583,
      0.4554538534646965,
      0.4475834461127275,
      0.43984955511424234,
      0.4322497272654288,
      0.4247818112987302,
      0.41744360026468436,
      0.41023282394274424,
      0.40314719217708656,
      0.39618442181695035,
      0.3893422526880504,
      0.3826184575262688,
      0.37601084760194475,
      0.3695172756225344,
      0.36313565223846356,
      0.3568640651369382,
      0.350700668305307,
      0.34464358570392056,
      0.3386909378951805,
      0.33284085812920927,
      0.3270915016895531,
      0.32144105167247966,
      0.3158877224758066,
      0.31042977555478174,
      0.3050655345922144,
      0.2997933455054349,
      0.29461157399431254,
      0.2895186100621176,
      0.2845128707117202,
      0.2795928014693303,
      0.2747568765563741,
      0.2700035991157555,
      0.2653315011295116,
      0.2607391428668096,
      0.25622511262965125,
      0.25178802603586503,
      0.24742652542617175,
      0.2431392298708194,
      0.2389245998832041,
      0.23478115455984044,
      0.23070752006145628,
      0.22670239866046646,
      0.2227645492016377,
      0.2188927741457302,
      0.21508591147143738,
      0.21134283956940667,
      0.20766278016340475,
      0.20404510031660333,
      0.20048900618253473,
      0.19699360975198116,
      0.19355796125932612,
      0.19018099701069846,
      0.18686162244663726,
      0.1835987902449421,
      0.18039148939414773,
      0.17723873812237026,
      0.1741395796699354,
      0.17109307925641135,
      0.16809832179361592,
      0.16515441069261264,
      0.1622604666419457,
      0.15941562707972984,
      0.15661904541010965,
      0.15386989062383713,
      0.15116734657225864,
      0.1485106119675388,
      0.14589890002899167,
      0.14333143799119652,
      0.1408074667400271,
      0.13832624084960976,
      0.13588702800932181,
      0.13348910882589088,
      0.13113177692363284,
      0.12881433809737644,
      0.12653611044301089,
      0.12429642406056436,
      0.12209462083170992,
      0.11993005420810773,
      0.11780208893396751,
      0.11571010088616013,
      0.11365347680959431,
      0.1116316142269085,
      0.10964392113453329,
      0.10768981582797692,
      0.10576872659503245,
      0.10388009185514922,
      0.10202335967007639,
      0.10019798773243149,
      0.09840344301690443,
      0.09663920188234741,
      0.09490474968403398,
      0.09319958058794545,
      0.09152319761228157,
      0.0898751121839708,
      0.08825484422670088,
      0.08666192201730717,
      0.08509588188351111,
      0.08355626804112354,
      0.08204263266557371,
      0.08055453556496463,
      0.07909154421767005,
      0.07765323333066285,
      0.07623918492348372,
      0.07484898815185953,
      0.0734822393251497,
      0.07213854167602074,
      0.07081750513641888,
      0.06951874628354164,
      0.06824188830675966,
      0.06698656068360057,
      0.06575239943897274,
      0.06453904671498557,
      0.0633461507137036,
      0.06217336562368827,
      0.061020351641842815,
      0.059886774539902696,
      0.05877230598380006,
      0.05767662313608305,
      0.056599408638931786,
      0.05554035055024736,
      0.054499142287405065,
      0.05347548245407367,
      0.05246907462920636,
      0.05147962751517934,
      0.050506854863352275,
      0.04955047521163776,
      0.048610211808746,
      0.04768579256898983,
      0.046776950216449995,
      0.045883421906592434,
      0.04500494917304387,
      0.044141278018381906,
      0.04329215872586138,
      0.042457345802115805,
      0.041636597986672935,
      0.04082967800086843,
      0.040036352531411655,
      0.0392563923945642,
      0.03848957212113609,
      0.03773567005838011,
      0.036994468397232985,
      0.03626575309372695,
      0.035549313556348015,
      0.0348449427921892,
      0.03415243733792046,
      0.03347159721058919,
      0.03280222573175168,
      0.03214412955551557,
      0.03149711846720744,
      0.030861005748030742,
      0.0302356076748159,
      0.029620743655176262,
      0.029016236151820095,
      0.028421910746219404,
      0.02783759573049992,
      0.027263122403420825,
      0.026698324932608493,
      0.026143040246974784,
      0.025597108117999062,
      0.025060370902145204,
      0.024532673611352158,
      0.02401386397485601,
      0.02350379214863401,
      0.023002311007213953,
      0.022509275713927242,
      0.022024544019660065,
      0.021547976100224346,
      0.021079434308054278,
      0.02061878334576624,
      0.02016589036001587,
      0.01972062481551651,
      0.019282858130254175,
      0.018852463897076194,
      0.01842931792922332,
      0.018013298225575458,
      0.017604284638925025,
      0.0172021591307154,
      0.016806805715322875,
      0.016418110355870336,
      0.016035960822280405,
      0.015660246932177616,
      0.01529086032922866,
      0.014927694363556817,
      0.014570644182636674,
      0.014219606873882497,
      0.013874481143625867,
      0.01353516748622171,
      0.01320156797846582,
      0.012873586277434887,
      0.012551127814970052,
      0.012234099573342233,
      0.01192241007662653,
      0.011615969464617132,
      0.011314689292924411,
      0.011018482669810233,
      0.010727264080492738,
      0.010440949535398312,
      0.01015945646320592,
      0.009882703736872575,
      0.009610611438158362,
      0.009343101122910254,
      0.009080095576917205,
      0.008821518983869521,
      0.008567296774068896,
      0.008317355567305949,
      0.008071623279261862,
      0.00783002902325452,
      0.007592503124735548,
      0.007358977095814443,
      0.007129383589310207,
      0.006903656395239898,
      0.006681730378371659,
      0.0064635414577155536,
      0.00624902669236561,
      0.006038124282598568,
      0.005830773358655404,
      0.005626914053670373,
      0.005426487562442854,
      0.005229436107140072,
      0.005035702920313641,
      0.004845232130414028,
      0.0046579688223391605,
      0.004473858847243027,
      0.004292849189071745,
      0.004114887660842907,
      0.003939922929065577,
      0.0037679045155909626,
      0.0035987827712986543,
      0.0034325089039215343,
      0.00326903501549749,
      0.0031083139779608175,
      0.002950299368992342,
      0.002794945646089123,
      0.0026422079295693743,
      0.00249204222720838,
      0.002344405210608903,
      0.002199254331371224,
      0.0020565477113747522,
      0.0019162441628310183,
      0.0017783031729457091,
      0.0016426849992182465,
      0.0015093505389754658,
      0.0013782612966310778,
      0.001249379576314652,
      0.0011226681300499737,
      0.0009980904633810422,
      0.0008756105583750021,
      0.0007551930757209545,
      0.0006368033306824485,
      0.0005204071504476531,
      0.000405971051577114,
      0.00029346198152076794,
      0.00018284742419277637,
      7.409553935316299e-05,
      -3.282503866423021e-05,
      -0.00013794510138346038,
      -0.0002412950252960067,
      -0.0003429045602588255,
      -0.0004428030800415097,
      -0.0005410193921020866,
      -0.0006375818062668167,
      -0.0007325182205053728,
      -0.0008258559694382649,
      -0.0009176219700087312,
      -0.0010078428333580376,
      -0.0010965444287378782,
      -0.0011837522649474463,
      -0.0012694915839745703,
      -0.0013537871676562205,
      -0.0014366632885633068,
      -0.001518143818071488,
      -0.0015982522309928473,
      -0.0016770115959582146,
      -0.0017544447359663729,
      -0.0018305739745273952,
      -0.0019054212359484533,
      -0.0019790081314534657,
      -0.002051355916796598,
      -0.0021224854549070893,
      -0.0021924171067358726,
      -0.002261171193174481,
      -0.002328767457635141,
      -0.002395225436164068,
      -0.002460564317900046,
      -0.0025248029441498777,
      -0.0025879598058862205,
      -0.002650053097340435,
      -0.002711100762041568,
      -0.002771120493079444,
      -0.002830129605642167,
      -0.002888145117591539,
      -0.0029451835936794863,
      -0.00300126145216785,
      -0.00305639500405013,
      -0.003110600122397278,
      -0.0031638925468032287,
      -0.003216287512259602,
      -0.0032678001908564977,
      -0.0033184455413445627,
      -0.0033682380306617734,
      -0.0034171920854326565,
      -0.0034653217728596673,
      -0.0035126410406767354,
      -0.0035591634158125664,
      -0.0036049023115520855,
      -0.0036498710614890407,
      -0.0036940825580736697,
      -0.0037375495961314356,
      -0.003780284814877085,
      -0.0038223003211978004,
      -0.003863608220906466,
      -0.0039042205832305822,
      -0.003944149087661683,
      -0.003983405158904562,
      -0.004022000164279708,
      -0.004059945350150601,
      -0.00409725158731393,
      -0.004133929515302914,
      -0.004169989851421033,
      -0.004205443000208283,
      -0.004240299056058714,
      -0.004274568110174616,
      -0.004308260162773692,
      -0.004341384946283239,
      -0.004373951912362285,
      -0.004405970383813666,
      -0.004437449731111634,
      -0.004468398982801739,
      -0.0044988270709906105,
      -0.004528742701039325,
      -0.00455815448095041,
      -0.004587070955477306,
      -0.004615500480374313,
      -0.004643451325348055,
      -0.0046709315218858806,
      -0.004697949022306833,
      -0.004724511552608285,
      -0.004750626738382953,
      -0.004776302109077164,
      -0.004801545197675803,
      -0.0048263632522283885,
      -0.004850763372447497,
      -0.004874752677464135,
      -0.004898338047632831,
      -0.004921526208693102,
      -0.004944323840894593,
      -0.004966737528945976,
      -0.004988773819555439
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334257331442624,
      10.091966923132858,
      9.842719077486562,
      9.589391965929968,
      9.334620542060218,
      9.080681862132405,
      8.829471958591672,
      8.582489910155394,
      8.340835383648312,
      8.105233960763766,
      7.876076624257677,
      7.653469601897311,
      7.4372898132659335,
      7.22724131613407,
      7.022909023249818,
      6.823807124366327,
      6.629420796903054,
      6.439240723344428,
      6.252791076624011,
      6.0696508384681325,
      5.889465701709671,
      5.711943767681612,
      5.536856261324998,
      5.3640582732219855,
      5.1934740629678835,
      5.025100850802672,
      4.859043609864035,
      4.695521837665307,
      4.534815748657605,
      4.377234328252421,
      4.223116205326075,
      4.072838589327711,
      3.9267821120311104,
      3.785310890505064,
      3.6487616068927595,
      3.5174323289530114,
      3.391572601416912,
      3.271377738960903,
      3.1569857355332096,
      3.0484640156419918,
      2.945802507029748,
      2.8489199099072176,
      2.7576507382006508,
      2.671751423061743,
      2.5909586188905087,
      2.5150071412036406,
      2.443625657074345,
      2.3765463604137476,
      2.313499228318415,
      2.2541903003501655,
      2.1982487598853315,
      2.1453117752583224,
      2.0950471156747064,
      2.0471373244051407,
      2.0013046135576227,
      1.9573157032415283,
      1.9149834777835943,
      1.874147980953107,
      1.8346773769793128,
      1.796456287508986,
      1.7593841796634135,
      1.7233807871462614,
      1.688380250623032,
      1.6543270408735695,
      1.6211768587199173,
      1.5888943375105655,
      1.55744627401365,
      1.5268013718306945,
      1.4969304108061676,
      1.4678053788021463,
      1.4393993802993184,
      1.41168666569703,
      1.3846432880841024,
      1.3582452757234993,
      1.3324681069351445,
      1.307289150388076,
      1.2826874132626107,
      1.2586432456009293,
      1.2351381359629798,
      1.2121545631836006,
      1.1896758888051482,
      1.167686272780288,
      1.1461707397551038,
      1.1251160155514357,
      1.1045097743949615,
      1.084340326231648,
      1.06459608788917,
      1.0452655190849967,
      1.026337271996703,
      1.0078002793594318,
      0.9896438021198516,
      0.9718574528292571,
      0.9544312036876961,
      0.9373553849590359,
      0.9206206772570328,
      0.9042181012785832,
      0.8881390053836571,
      0.8723750520111427,
      0.8569182047686748,
      0.841760715068839,
      0.8268951090004827,
      0.8123141749596413,
      0.7980109519170162,
      0.783978717780129,
      0.7702109786745927,
      0.756701458583891,
      0.7434440897464416,
      0.7304330030302094,
      0.7176625196605476,
      0.705127142490783,
      0.6928215486099518,
      0.6807405814653603,
      0.6688792442834803,
      0.6572326928291833,
      0.6457962291230006,
      0.6345652958259934,
      0.6235354698275988,
      0.6127024574077821,
      0.6020620889664103,
      0.5916102877840801,
      0.5813430442713383,
      0.5712566090695183,
      0.5613481514924296,
      0.5516150040425133,
      0.542054203616856,
      0.5326626355351813,
      0.5234371217561469,
      0.5143744755637926,
      0.5054715345354107,
      0.49672518086041445,
      0.4881323527999706,
      0.47969005076652643,
      0.47139534079579004,
      0.4632453553518205,
      0.4552372934040624,
      0.44736841949796907,
      0.43963606250339254,
      0.4320377904359766,
      0.42457145215891573,
      0.41723483172693965,
      0.4100256530689455,
      0.4029416222054044,
      0.39598045348361216,
      0.3891398853067709,
      0.3824176893712854,
      0.3758116760291903,
      0.3693196973359713,
      0.36293966822954316,
      0.35666968219465345,
      0.35050788855388065,
      0.3444524085529643,
      0.33850136083057475,
      0.3326528772771232,
      0.32690511242367076,
      0.32125624885879267,
      0.3157045004712218,
      0.3102481301730905,
      0.304885461357581,
      0.2996148389970925,
      0.2944346282150774,
      0.2893432186375521,
      0.28433902697037733,
      0.27942049829127463,
      0.27458610657412397,
      0.2698343548608029,
      0.26516377517667256,
      0.2605729277354671,
      0.2560604005300487,
      0.25162480908316776,
      0.24726479550916003,
      0.24297898251080213,
      0.2387658355915545,
      0.23462387050055547,
      0.23055171124469495,
      0.2265480588830382,
      0.22261167151113542,
      0.21874135107173798,
      0.21493593488440618,
      0.2111942966583158,
      0.20751565165181327,
      0.203899370733295,
      0.20034466256459532,
      0.1968506404722413,
      0.19341635385408437,
      0.19004073714562883,
      0.18672269786407256,
      0.18346118985735818,
      0.18025520285201307,
      0.17710375568954703,
      0.17400589198626362,
      0.1709606769804452,
      0.16796719571510355,
      0.16502455149469727,
      0.16213186524822182,
      0.1592882743777543,
      0.15649293221594968,
      0.15374500770962488,
      0.1510436848581385,
      0.14838816225589407,
      0.14577765301122447,
      0.1432113843618137,
      0.14068859718297644,
      0.13820854605582747,
      0.13577049871314947,
      0.13337373581571557,
      0.1310175507471668,
      0.1287012493952688,
      0.12642414993904902,
      0.1241855825135496,
      0.12198488898734643,
      0.11982142280772014,
      0.11769454869105911,
      0.11560364254522752,
      0.11354809105858023,
      0.11152729174275887,
      0.10954065268568279,
      0.10758759210343977,
      0.10566753846561996,
      0.1037799301577925,
      0.1019242152847178,
      0.10009985149337067,
      0.09830630591005973,
      0.09654305482942398,
      0.09480958362519187,
      0.0931053864945336,
      0.09142996651219935,
      0.08978283515519199,
      0.08816351236559768,
      0.08657152645757235,
      0.08500641382486751,
      0.08346771869532997,
      0.08195499324371053,
      0.08046779729963931,
      0.07900569819406511,
      0.07756827080088578,
      0.0761550973316357,
      0.07476576702613623,
      0.07339987618950736,
      0.07205702797448704,
      0.07073683237934245,
      0.0694389060448207,
      0.06816287210650258,
      0.06690836036048516,
      0.06567500682069757,
      0.06446245361645556,
      0.06327034896046067,
      0.06209834713560727,
      0.060946108348537344,
      0.059813298503281404,
      0.05869958921191279,
      0.057604657715397745,
      0.05652818667243587,
      0.05546986418469527,
      0.054429383718521324,
      0.05340644389679616,
      0.052400748520466486,
      0.0514120063545317,
      0.05043993113971136,
      0.049484241435068306,
      0.04854466060601209,
      0.04762091664254735,
      0.046712742351531604,
      0.04581987487017468,
      0.044942055715006625,
      0.04407903097383631,
      0.04323055105768626,
      0.042396370443393665,
      0.04157624785802892,
      0.040769946151839556,
      0.03997723224719152,
      0.039197876851924586,
      0.03843165455934199,
      0.03767834390573376,
      0.03693772706750278,
      0.036209590011597306,
      0.03549372220842803,
      0.03478991672077151,
      0.03409797019871032,
      0.033417682589016555,
      0.03274885727082832,
      0.032091300969265824,
      0.031444823675358724,
      0.030809238623224044,
      0.030184362241647136,
      0.029570013920538027,
      0.028966016119897915,
      0.028372194356846486,
      0.027788377210897112,
      0.027214396035918173,
      0.026650085000587055,
      0.02609528102522348,
      0.025549823888594007,
      0.025013556097707848,
      0.024486322627834393,
      0.023967971238678793,
      0.023458352285900843,
      0.022957318580834735,
      0.022464725527099858,
      0.021980430923656646,
      0.021504294847133707,
      0.021036179695674933,
      0.020575950337373302,
      0.020123473886294544,
      0.019678619754906354,
      0.019241259517946814,
      0.01881126679735326,
      0.01838851756263144,
      0.017972889625657334,
      0.017564263154650428,
      0.017162520083619383,
      0.01676754449587846,
      0.016379222316170332,
      0.01599744143620169,
      0.015622091707788362,
      0.015253064701881274,
      0.0148902539771838,
      0.014533554681835465,
      0.014182863842243161,
      0.013838080334553601,
      0.013499104672781247,
      0.013165838917700366,
      0.0128381868972626,
      0.012516054064751038,
      0.012199347376242781,
      0.011887975447107409,
      0.011581848397375962,
      0.011280877855550455,
      0.010984976993561612,
      0.01069406040230548,
      0.010408044189652068,
      0.010126845682848993,
      0.009850383759606236,
      0.0095785785996878,
      0.009311351791841428,
      0.00904862614044882,
      0.008790325903538839,
      0.008536376514565227,
      0.00828670474169679,
      0.008041238476834201,
      0.007799906859609159,
      0.00756264026026755,
      0.007329370140071308,
      0.007100029291287252,
      0.006874551503323962,
      0.006652871563862334,
      0.006434925492778474,
      0.006220650513615492,
      0.0060099848073386945,
      0.005802867479573937,
      0.005599238824239176,
      0.005399040044657889,
      0.005202213359891594,
      0.005008701981510718,
      0.0048184500817072436,
      0.0046314027586137636,
      0.004447506056075923,
      0.004266706910957713,
      0.004088953142255245,
      0.003914193424076033,
      0.003742377338899832,
      0.0035734553066877955,
      0.0034073785685275336,
      0.003244099179750236,
      0.0030835700955318367,
      0.0029257449285497576,
      0.0027705780976524856,
      0.0026180248970426494,
      0.0024680413017934767,
      0.0023205839987574493,
      0.0021756104835476834,
      0.002033078874556738,
      0.0018929479967987651,
      0.0017551774174155695,
      0.0016197273759696507,
      0.0014865587682837624,
      0.001355633190098441,
      0.0012269129519258048,
      0.0011003609372400329,
      0.0009759405777125708,
      0.0008536158750238931,
      0.0007333514568443123,
      0.0006151127177461088,
      0.000498865594260925,
      0.0003845764757030561,
      0.0002722124985882994,
      0.00016174112473929053,
      5.3130433571965414e-05,
      -5.365079963536998e-05,
      -0.00015863346820580633,
      -0.0002618478863037271,
      -0.0003633236916397189,
      -0.00046309021639695866,
      -0.0005611762523638774,
      -0.0006576100877135059,
      -0.0007524196562658332,
      -0.0008456323925562048,
      -0.0009372750789442649,
      -0.0010273741223706138,
      -0.0011159556135653932,
      -0.0012030451176981579,
      -0.0012886676857801823,
      -0.0013728480738278103,
      -0.0014556105283423377,
      -0.0015369789515261058,
      -0.0016169767914839225,
      -0.001695627153436706,
      -0.0017729528013916674,
      -0.0018489759739466023,
      -0.0019237186178773665,
      -0.001997202340806312,
      -0.00206944829870347,
      -0.0021404773427080846,
      -0.002210309992744902,
      -0.0022789663654147582,
      -0.0023464662852845713,
      -0.002412829190314206,
      -0.0024780743226038822,
      -0.0025422204860082705,
      -0.002605286209358792,
      -0.002667289723476316,
      -0.002728248854676578,
      -0.0027881811457380517,
      -0.0028471039756923144,
      -0.0029050344179679397,
      -0.002961989123107346,
      -0.00301798442223743,
      -0.003073036499320187,
      -0.0031271612956222036,
      -0.0031803744389790854,
      -0.003232691285700417,
      -0.0032841269491904104,
      -0.003334696225848236,
      -0.003384413767492164,
      -0.003433293884403783,
      -0.0034813507034611104,
      -0.00352859806447932,
      -0.0035750496063550116,
      -0.003620718737810338,
      -0.0036656186202655237,
      -0.003709762200314089,
      -0.003753162254203529,
      -0.0037958313107861823,
      -0.003837781579808985,
      -0.0038790252416402403,
      -0.003919574240523099,
      -0.003959440236209924,
      -0.003998634764206977,
      -0.004037169128315487,
      -0.004075054324156401,
      -0.004112301368700384,
      -0.004148921044322811,
      -0.004184923922339895,
      -0.004220320423384594,
      -0.00425512069298051,
      -0.0042893347814196995,
      -0.0043229725494743155,
      -0.00435604364362299,
      -0.004388557673880161,
      -0.004420524009594478,
      -0.004451951880027579,
      -0.004482850480590758,
      -0.004513228703518755,
      -0.004543095255555493,
      -0.0045724587938976964,
      -0.004601327692848846,
      -0.004629710255030709,
      -0.004657614769319684,
      -0.00468504929531156,
      -0.004712021739479458,
      -0.004738539892635743,
      -0.0047646114160335715,
      -0.004790243833068137,
      -0.004815444495417303,
      -0.004840220681839525,
      -0.004864579531178099,
      -0.004888528026024233,
      -0.0049120731154267214,
      -0.0049352215769695555,
      -0.004957980125863509,
      -0.00498035535226874,
      -0.005002353651983031
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334255023296466,
      10.091956605680858,
      9.842695512608985,
      9.589350108124327,
      9.334556444831094,
      9.080592808574385,
      8.829356261998194,
      8.582346600160541,
      8.340664009472297,
      8.105034423337617,
      7.875849040826782,
      7.6532142059140575,
      7.437006884943811,
      7.22693114045716,
      7.022571876935745,
      6.823443279674994,
      6.629030542909652,
      6.438824394098111,
      6.252349144405868,
      6.069183915442496,
      5.888974598549766,
      5.711429540119246,
      5.536320179276982,
      5.3635018482449395,
      5.1928989004518895,
      5.02450898036822,
      4.858438024538325,
      4.694905808976629,
      4.5341925591438415,
      4.376607328153222,
      4.222489025694719,
      4.07221492556172,
      3.926165505741168,
      3.7847046653321943,
      3.6481688103160996,
      3.5168556926116215,
      3.391014501570413,
      3.270840170428578,
      3.1564702983219464,
      3.0479717434147338,
      2.945333826626229,
      2.848474753631641,
      2.7572283043910324,
      2.671350516422926,
      2.5905779081752387,
      2.51464506240289,
      2.4432806527538484,
      2.376216885704118,
      2.313183636375891,
      2.2538867471138766,
      2.197955022707528,
      2.14502583669267,
      2.0947669776133235,
      2.0468612279900773,
      2.0010311557654887,
      1.9570438456395167,
      1.9147124486094271,
      1.8738772057546718,
      1.8344064433759326,
      1.7961847856079578,
      1.7591117888462418,
      1.7231072974020158,
      1.688105527985295,
      1.654051003881445,
      1.6208998519935272,
      1.5886167556558641,
      1.5571683782523316,
      1.5265233523991628,
      1.4966524013281834,
      1.467527469644614,
      1.4391216337835346,
      1.4114091262312316,
      1.3843660015008425,
      1.3579682948342586,
      1.3321914753173918,
      1.3070129003014812,
      1.2824115697512404,
      1.2583678301191388,
      1.2348631675409147,
      1.2118800593715826,
      1.1894018661422916,
      1.1674127480586862,
      1.145897737370312,
      1.1248435710889244,
      1.1042379223420251,
      1.0840691044196622,
      1.0643255261536644,
      1.0449956420944222,
      1.0260681012924708,
      1.0075318348657956,
      0.9893761023619824,
      0.9715905158442372,
      0.9541650470532643,
      0.9370900254482885,
      0.9203561316458417,
      0.9039543861700283,
      0.8878761372707559,
      0.8721130473749755,
      0.856657080009119,
      0.8415004863691017,
      0.8266357927878674,
      0.8120557875388198,
      0.7977535091145312,
      0.7837222350580004,
      0.7699554715609851,
      0.7564469422516192,
      0.7431905790617415,
      0.7301805125376886,
      0.7174110638608306,
      0.7048767360050274,
      0.6925722057234768,
      0.6804923161681049,
      0.66863207014683,
      0.6569866231258552,
      0.6455512766816728,
      0.6343214729260132,
      0.6232927887951649,
      0.6124609301342997,
      0.6018217268502434,
      0.5913711016104591,
      0.5811050444383271,
      0.5710198463426494,
      0.561112729946684,
      0.5513809900422949,
      0.5418216400542422,
      0.5324315504782391,
      0.5232075339389249,
      0.5141463973708603,
      0.5052449745001598,
      0.4965001449740065,
      0.4879088449143747,
      0.4794680737977826,
      0.4711748967985179,
      0.46302644594082365,
      0.45501991981177375,
      0.44715258259982343,
      0.43942176273469197,
      0.43182504945464917,
      0.42436029183315266,
      0.41702526460104244,
      0.40981768588995793,
      0.4027352580504096,
      0.3957756932084516,
      0.38893672799036805,
      0.3822161330544682,
      0.37561171803859844,
      0.36912133434675787,
      0.3627429013068552,
      0.3564745182025633,
      0.35031432985903843,
      0.3442604543652137,
      0.3383110085018794,
      0.332464122979984,
      0.3267179514911919,
      0.32107067595366234,
      0.3155205099145132,
      0.3100657176045927,
      0.3047046222559694,
      0.2994355679738339,
      0.2942569191163748,
      0.28916706492056415,
      0.2841644218598365,
      0.2792474347673281,
      0.2744145775225306,
      0.2696643529793245,
      0.2649952928022196,
      0.2604059572148275,
      0.2558949341823371,
      0.2514608388671132,
      0.24710231338749453,
      0.24281798388982745,
      0.23860632057613793,
      0.23446583611560817,
      0.23039515258942306,
      0.22639296976694367,
      0.22245804472745231,
      0.2185891788439648,
      0.21478520923288574,
      0.21104500488217326,
      0.20736777460962663,
      0.20375289313935446,
      0.20019957143818604,
      0.19670692427080597,
      0.19327400012313486,
      0.1898997314846014,
      0.18658302782259564,
      0.18332284435848006,
      0.18011817155684653,
      0.17696802868214287,
      0.17387145961198208,
      0.1708275298304578,
      0.1678353245097823,
      0.1648939471388228,
      0.16200251857390888,
      0.15916017609045388,
      0.15636607310672063,
      0.15361937849145837,
      0.15091927629431054,
      0.1482649652434941,
      0.14565565827657462,
      0.1430905825809058,
      0.1405689792540376,
      0.13809010272984826,
      0.1356532206114197,
      0.13325761362458632,
      0.13090257510086795,
      0.128587411044852,
      0.12631143953912582,
      0.12407399072685735,
      0.12187440639783673,
      0.11971204008151322,
      0.11758625650803044,
      0.11549643157515214,
      0.1134419520897148,
      0.11142221560045125,
      0.10943663008099438,
      0.10748461393285683,
      0.10556559554478175,
      0.10367901321589124,
      0.10182431516821694,
      0.10000095906437524,
      0.09820841203366777,
      0.09644615048202396,
      0.0947136597229419,
      0.09301043402684134,
      0.09133597643987224,
      0.08968979841663711,
      0.08807142006695642,
      0.08648036964378429,
      0.08491618359700455,
      0.08337840627390886,
      0.08186658985413892,
      0.08038029419771987,
      0.07891908675183748,
      0.07748254243064766,
      0.07607024344182257,
      0.0746817790533237,
      0.07331674558590613,
      0.07197474624633211,
      0.0706553911160442,
      0.06935829687480677,
      0.06808308669155784,
      0.0668293903586216,
      0.06559684396919985,
      0.06438508971369203,
      0.06319377585436294,
      0.062022556683459094,
      0.060871092421267994,
      0.059739049116995464,
      0.05862609840560431,
      0.057531917590720606,
      0.05645618952933594,
      0.05539860231085596,
      0.054358849391881396,
      0.053336629343560954,
      0.052331646120793635,
      0.05134360857543742,
      0.05037223042663872,
      0.049417230253141514,
      0.04847833156695702,
      0.04755526234609937,
      0.046647755477946855,
      0.04575554815226549,
      0.04487838199590762,
      0.044016003179687735,
      0.04316816209721444,
      0.04233461328874643,
      0.04151511563222532,
      0.040709432029073206,
      0.03991732931209627,
      0.03913857828283277,
      0.03837295360824248,
      0.037620233808650316,
      0.03688020114555064,
      0.03615264160056525,
      0.03543734482381059,
      0.034734103969091344,
      0.034042715676364396,
      0.03336297999113363,
      0.03269470023953313,
      0.03203768319622197,
      0.03139173906174618,
      0.030756681058904816,
      0.030132325613314335,
      0.029518492227791127,
      0.028915003471015627,
      0.02832168488865262,
      0.027738364976860386,
      0.02716487515467161,
      0.026601049671270888,
      0.026046725524018224,
      0.025501742673728244,
      0.024965943526868813,
      0.024439173235233116,
      0.023921279650175542,
      0.023412113083500254,
      0.02291152640871816,
      0.022419375007229236,
      0.021935516672869033,
      0.021459811640483627,
      0.020992122516223677,
      0.02053231411476495,
      0.020080253597925417,
      0.01963581032990774,
      0.01919885603999135,
      0.018769264453696238,
      0.018346911427924543,
      0.017931674967334253,
      0.017523435185260377,
      0.01712207410761375,
      0.016727475795738397,
      0.016339526343913915,
      0.01595811360475427,
      0.015583127404749802,
      0.015214459532580018,
      0.014852003479942942,
      0.014495654660522987,
      0.014145310012606967,
      0.01380086837761497,
      0.013462230325947424,
      0.013129298053576127,
      0.012801975361087204,
      0.012480167766330185,
      0.01216378228643616,
      0.011852727601442256,
      0.011546913734091283,
      0.011246252448487514,
      0.010950657012130703,
      0.01066004196785853,
      0.010374323391904144,
      0.010093418742788922,
      0.009817246963660832,
      0.009545728380581875,
      0.009278784530126328,
      0.009016338328558264,
      0.008758313985671643,
      0.0085046369491847,
      0.008255233930279406,
      0.008010032972344093,
      0.007768963372138665,
      0.007531955478791975,
      0.007298940802125266,
      0.007069852049155698,
      0.006844623095703936,
      0.006623188802814135,
      0.006405485378520149,
      0.006191449930166266,
      0.0059810206691677005,
      0.005774136808806013,
      0.005570738586086274,
      0.005370767243767666,
      0.005174165104957129,
      0.004980875353056139,
      0.004790842285991482,
      0.004604010976672796,
      0.004420327420024082,
      0.00423973853729814,
      0.004062192228536423,
      0.003887637288830857,
      0.0037160233285199106,
      0.003547300772284593,
      0.003381420855577411,
      0.0032183356684860583,
      0.0030579981903332927,
      0.002900362155964132,
      0.0027453820078623334,
      0.0025930130097195996,
      0.002443211166503787,
      0.002295933267865413,
      0.0021511367376025508,
      0.002008779721075446,
      0.0018688211498601925,
      0.0017312205613986419,
      0.0015959383346042665,
      0.0014629354007183158,
      0.001332173331781709,
      0.0012036143932118348,
      0.0010772214274324529,
      0.0009529579307456131,
      0.0008307880562880068,
      0.0007106765433915487,
      0.0005925886234361869,
      0.0004764902590058647,
      0.0003623479400982536,
      0.0002501287498115651,
      0.00013980026042285964,
      3.133055884190828e-05,
      -7.531164955277169e-05,
      -0.00018015706205916013,
      -0.0002832359692763383,
      -0.0003845781830211001,
      -0.00048421294984362246,
      -0.0005821690404415829,
      -0.0006784747736721329,
      -0.0007731578410677734,
      -0.0008662456576320073,
      -0.0009577651704083471,
      -0.001047742792583717,
      -0.0011362044816266264,
      -0.001223175803158313,
      -0.0013086817957877054,
      -0.0013927471331035795,
      -0.0014753961697285146,
      -0.001556652680616738,
      -0.0016365401516446423,
      -0.0017150817001129173,
      -0.0017923000507709032,
      -0.0018682173261873852,
      -0.001942855534620017,
      -0.0020162361979394914,
      -0.0020883805701293586,
      -0.0021593094214865344,
      -0.0022290432412181826,
      -0.002297602171365642,
      -0.0023650059715792774,
      -0.0024312740774497694,
      -0.0024964256960575775,
      -0.002560479645854821,
      -0.0026234544688243356,
      -0.0026853682869595803,
      -0.002746238981607357,
      -0.0028060840600742927,
      -0.00286492084513932,
      -0.0029227663905216873,
      -0.002979637356956693,
      -0.003035550115673052,
      -0.003090520870158854,
      -0.003144565490567694,
      -0.003197699575993689,
      -0.0032499385096116666,
      -0.003301297283424425,
      -0.0033517907926964327,
      -0.003401433468053137,
      -0.0034502397075750614,
      -0.003498223659697521,
      -0.003545399208963941,
      -0.003591779877644255,
      -0.0036373791079645826,
      -0.003682210117682078,
      -0.0037262857802226007,
      -0.003769618757842224,
      -0.0038122216341095333,
      -0.0038541067278112157,
      -0.003895286179745714,
      -0.003935771879344114,
      -0.003975575466800088,
      -0.004014708385181892,
      -0.00405318195719561,
      -0.0040910073278595015,
      -0.004128195476396259,
      -0.004164757055742466,
      -0.0042007025999743495,
      -0.004236042546373873,
      -0.004270787111059694,
      -0.004304946246410078,
      -0.004338529845582588,
      -0.004371547577699894,
      -0.0044040091231528425,
      -0.00443592376610602,
      -0.004467300641038767,
      -0.004498148902256728,
      -0.004528477346077841,
      -0.00455829472554631,
      -0.004587609778256382,
      -0.004616431025406417,
      -0.004644766633324022,
      -0.004672624891060392,
      -0.004700013733887177,
      -0.00472694114967135,
      -0.004753414892444757,
      -0.004779442544474353,
      -0.004805031794069597,
      -0.004830189931479374,
      -0.004854924176588605,
      -0.00487924174544282,
      -0.004903149560216084,
      -0.004926654556618126,
      -0.004949763558385552,
      -0.004972483144888471,
      -0.0049948199059944055,
      -0.005016780379115144
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334252708334713,
      10.091946256716717,
      9.842671875654945,
      9.589308120957869,
      9.334492146140114,
      9.080503474415641,
      8.829240198722776,
      8.582202832751898,
      8.34049208396901,
      8.104834238993561,
      7.875620715146892,
      7.652957972300018,
      7.4367230223883265,
      7.226619934787543,
      7.022233603795726,
      6.823078210992116,
      6.628638966179506,
      6.438406645928443,
      6.251905698712071,
      6.06871538597429,
      5.888481796430523,
      5.710913520803405,
      5.535782212132987,
      5.362943445225747,
      5.192321668418269,
      5.023914951748662,
      4.8578301977967895,
      4.694287461289115,
      4.533566979890625,
      4.375977876128895,
      4.221859341255426,
      4.071588712221369,
      3.9255463151480847,
      3.7840958316849553,
      3.6475733900349163,
      3.516276426179098,
      3.390453774092261,
      3.2702999845640353,
      3.1559522613450333,
      3.0474768942094053,
      2.944862595695828,
      2.848027076919685,
      2.7568033843359134,
      2.6709471611155506,
      2.5901947883888075,
      2.5142806145328604,
      2.442933319902327,
      2.375885123467964,
      2.312865797285748,
      2.253580986481076,
      2.1976591173753426,
      2.1447377690203546,
      2.09448474857978,
      2.04658307901445,
      2.0007556825833555,
      1.956770007610722,
      1.9144394735524495,
      1.8736045177815355,
      1.8341336026217845,
      1.7959113636435589,
      1.7588374789647296,
      1.722831898699875,
      1.687828912783273,
      1.6537731002443878,
      1.6206210096332496,
      1.5883373676608463,
      1.5568887044467448,
      1.5262435816032032,
      1.4963726662523782,
      1.467247859596592,
      1.4388422098398808,
      1.4111299309736378,
      1.384087079634647,
      1.3576896984979112,
      1.3319132474206377,
      1.306735072297002,
      1.2821341666097958,
      1.258090872080706,
      1.2345866726098071,
      1.2116040445718073,
      1.1891263479920624,
      1.1671377425695535,
      1.1456232687764665,
      1.124569674421782,
      1.1039646313003724,
      1.0837964561203863,
      1.0640535499994954,
      1.0447243624541767,
      1.0257975396981995,
      1.0072620105598273,
      0.9891070333322567,
      0.9713222193316476,
      0.9538975398870134,
      0.9368233245679138,
      0.9200902536403246,
      0.9036893474612824,
      0.8876119540774192,
      0.8718497357114112,
      0.8563946559227499,
      0.841238965959618,
      0.8263751916016567,
      0.8117961209149254,
      0.7974947927191391,
      0.7834644844913432,
      0.7696987017724822,
      0.7561911682383345,
      0.742935815689218,
      0.7299267747305723,
      0.7171583659928216,
      0.7046250919381972,
      0.6923216290882289,
      0.680242820530885,
      0.6683836686325136,
      0.6567393286136801,
      0.6453051021179932,
      0.6340764310935103,
      0.6230488916142586,
      0.6122181894030859,
      0.601580154083969,
      0.5911307075931527,
      0.5808658397295893,
      0.5707818815498663,
      0.5608761090493528,
      0.5511457791694997,
      0.541587881951616,
      0.5321992731826468,
      0.522976755683277,
      0.5139171304328725,
      0.5050172272942909,
      0.4962739234369249,
      0.4876841532391023,
      0.47924491487558407,
      0.47095327280276444,
      0.46280635836749295,
      0.45480136976695,
      0.4469355708503789,
      0.4392062895232038,
      0.4316111362892049,
      0.42414796042399333,
      0.41681452755572607,
      0.40960855008761005,
      0.40252772661747666,
      0.39556976666279203,
      0.38873240537148196,
      0.3820134122808316,
      0.37541059640979224,
      0.3689218087337077,
      0.3625449727619307,
      0.35627819344452644,
      0.3501196110787801,
      0.3440673409093568,
      0.33811949775279776,
      0.3322742110217665,
      0.32652963344983815,
      0.3208839464196488,
      0.3153353631317305,
      0.3098821491177899,
      0.30452262755844023,
      0.2992551415978475,
      0.29407805498939865,
      0.2889897566019,
      0.28398866239273796,
      0.2790732170098376,
      0.27424189418294015,
      0.2694931966363749,
      0.2648256559355371,
      0.2602378320297911,
      0.2557283127239266,
      0.25129571333574735,
      0.24693867577916773,
      0.24265582957584106,
      0.23844564958366993,
      0.23430664525970077,
      0.23023743671589755,
      0.2262367224892037,
      0.22230325880112836,
      0.21843584662598312,
      0.21463332269265167,
      0.21089455390595263,
      0.2072187411845085,
      0.2036052605599714,
      0.20005332575215506,
      0.1965620532935145,
      0.19313049102161572,
      0.1897575697423818,
      0.18644220095736233,
      0.18318334102712744,
      0.17997998126286663,
      0.1768311416124178,
      0.17373586618914322,
      0.17069322057115477,
      0.1677022899965437,
      0.16476217820809125,
      0.16187200591924558,
      0.15903091060264665,
      0.15623804552019702,
      0.1534925795513858,
      0.1507936967008034,
      0.14814059560744725,
      0.14553248947573105,
      0.14296860533388078,
      0.14044818408131765,
      0.13797048029549805,
      0.1355347617465077,
      0.1331403090840831,
      0.13078641564390123,
      0.12847238728576607,
      0.12619754213493753,
      0.12396121030346538,
      0.12176273371786894,
      0.1196014657538734,
      0.11747677126311237,
      0.11538802619037185,
      0.11333461730175225,
      0.11131594212584726,
      0.10933140872529169,
      0.1073804354004927,
      0.10546245068149707,
      0.10357689291384352,
      0.10172321022051971,
      0.09990086038775457,
      0.09810931047815923,
      0.09634803698995562,
      0.09461652529081672,
      0.09291426957199882,
      0.09124077290194607,
      0.08959554682721001,
      0.08797811158765596,
      0.08638799537880654,
      0.08482473464707108,
      0.08328787383789761,
      0.08177696521621586,
      0.0802915686385096,
      0.07883125169802888,
      0.07739558916594075,
      0.07598416317692058,
      0.07459656323396617,
      0.07323238567995216,
      0.07189123378559588,
      0.07057271769022494,
      0.06927645409716826,
      0.06800206628877944,
      0.06674918402202033,
      0.06551744347663438,
      0.06430648686385268,
      0.06311596246116016,
      0.06194552479041783,
      0.060794833991794896,
      0.05966355606126163,
      0.05855136282353799,
      0.057457931592756036,
      0.056382945152230836,
      0.0553260917136029,
      0.054287064819307305,
      0.05326556327201736,
      0.05226129091447328,
      0.05127395663233013,
      0.05030327421965341,
      0.049348962333001775,
      0.04841074452103674,
      0.04748834890367039,
      0.04658150826276348,
      0.045689959880174845,
      0.0448134455900165,
      0.04395171148552007,
      0.04310450801433076,
      0.04227158981027882,
      0.04145271578921292,
      0.04064764893352427,
      0.039856156133673035,
      0.03907800819063223,
      0.03831297982719962,
      0.03756084967602401,
      0.03682140017430931,
      0.0360944173587402,
      0.035379690680660554,
      0.03467701331128658,
      0.033986182060270556,
      0.0333069971178829,
      0.03263926198155097,
      0.03198278339528681,
      0.03133737142257644,
      0.030702839417215633,
      0.030079003898876085,
      0.029465684485708434,
      0.028862703711295686,
      0.028269887215592242,
      0.027687063502456248,
      0.027114064223863275,
      0.026550723648891206,
      0.02599687878578758,
      0.025452369469708528,
      0.024917038334434913,
      0.0243907305976492,
      0.02387329411701086,
      0.023364579259447245,
      0.022864438932671583,
      0.022372728531179126,
      0.021889305895148082,
      0.021414031315402537,
      0.020946767482822287,
      0.020487379327367952,
      0.020035734062183702,
      0.019591701070417876,
      0.019155152048988176,
      0.018725960798853,
      0.01830400325211228,
      0.017889157501385995,
      0.017481303716648855,
      0.017080323974697904,
      0.016686102465109532,
      0.016298525138037208,
      0.015917479976419926,
      0.015542856823776542,
      0.015174547627028984,
      0.014812445777379628,
      0.014456446710559854,
      0.014106447579320386,
      0.013762347181156733,
      0.013424046083288283,
      0.013091446410589914,
      0.012764452219009261,
      0.012442968985913952,
      0.012126903818110631,
      0.011816165399237398,
      0.011510663969015823,
      0.011210311295444508,
      0.010915020576940855,
      0.010624706464350145,
      0.01033928509522562,
      0.010058673993946207,
      0.009782792059752595,
      0.009511559535086365,
      0.009244898074069249,
      0.008982730651621938,
      0.008724981636549719,
      0.008471576450295408,
      0.008222441891479845,
      0.007977505950315848,
      0.007736697920515027,
      0.007499948179157188,
      0.0072671883650774986,
      0.007038351186983479,
      0.006813370528391566,
      0.006592181461718351,
      0.006374720120661623,
      0.0061609235385723235,
      0.005950730063214831,
      0.005744078974499648,
      0.005540910570801886,
      0.005341166106384252,
      0.005144787891651751,
      0.0049517191492297686,
      0.004761904217743631,
      0.004575288218510394,
      0.004391817164800221,
      0.004211438035967212,
      0.004034098722051859,
      0.0038597480357242656,
      0.0036883357338413562,
      0.003519812243951656,
      0.0033541287178683347,
      0.00319123736782447,
      0.003031091233978116,
      0.002873643968878476,
      0.00271885015169891,
      0.002566665077990149,
      0.0024170447240849467,
      0.002269945847851525,
      0.0021253259588988123,
      0.0019831433043757058,
      0.0018433568261012902,
      0.001705926024668027,
      0.0015708112204089774,
      0.0014379734929722597,
      0.0013073744840753924,
      0.0011789764504616092,
      0.001052742312867672,
      0.0009286354787215223,
      0.00080662012469804,
      0.0006866610941350618,
      0.0005687237336931348,
      0.0004527738400045983,
      0.0003387779133637423,
      0.00022670320443024799,
      0.00011651735665402193,
      8.188431773457005e-06,
      -9.831493555159112e-05,
      -0.00020302348911842614,
      -0.00030596738297229546,
      -0.0004071763313901021,
      -0.0005066795793709406,
      -0.0006045059156150074,
      -0.0007006836327910136,
      -0.00079524058792944,
      -0.0008882040635828063,
      -0.0009796008429744825,
      -0.0010694573218338888,
      -0.001157799465482312,
      -0.0012446528535116754,
      -0.0013300425704426575,
      -0.0014139932469110965,
      -0.0014965290990854388,
      -0.001577673985491428,
      -0.0016574513926092425,
      -0.0017358843808655735,
      -0.0018129955223772432,
      -0.001888807174100775,
      -0.0019633412093435247,
      -0.0020366190845994138,
      -0.0021086619810278566,
      -0.002179490817618506,
      -0.0022491259834016815,
      -0.002317587659136317,
      -0.0023848955466181793,
      -0.0024510691438983743,
      -0.002516127541438131,
      -0.002580089484294152,
      -0.0026429735540815613,
      -0.00270479790445907,
      -0.002765580268997181,
      -0.00282533833624276,
      -0.002884089335316765,
      -0.002941850250354824,
      -0.0029986377342798637,
      -0.0030544682249998697,
      -0.0031093578319318013,
      -0.0031633222719697424,
      -0.0032163772239095206,
      -0.0032685381164111434,
      -0.0033198199658358873,
      -0.0033702376007459286,
      -0.0034198055737899237,
      -0.0034685381996413267,
      -0.0035164495286156903,
      -0.003563553478108647,
      -0.003609863600949447,
      -0.0036553933296723275,
      -0.0037001557490083637,
      -0.003744163832019961,
      -0.003787430230128884,
      -0.0038299674626912773,
      -0.0038717878198146465,
      -0.003912903391654222,
      -0.003953325950311489,
      -0.00399306723178262,
      -0.004032138714362974,
      -0.00407055170847035,
      -0.004108317394894382,
      -0.004145446664793427,
      -0.004181950321664271,
      -0.004217838780193831,
      -0.004253122368098334,
      -0.004287811347460481,
      -0.004321915783111072,
      -0.0043554455188539705,
      -0.004388410069535121,
      -0.004420819040347871,
      -0.004452681948062417,
      -0.0044840078447741455,
      -0.004514805875460303,
      -0.004545084842804684,
      -0.0045748534773258406,
      -0.004604120382562552,
      -0.004632894055946867,
      -0.004661182820681521,
      -0.004688994845456341,
      -0.004716338195669683,
      -0.00474322080151774,
      -0.004769650342888861,
      -0.004795634502018968,
      -0.004821180802801698,
      -0.004846296634111942,
      -0.00487098916426663,
      -0.004895265464446891,
      -0.004919132644845481,
      -0.0049425975260472795,
      -0.00496566697781421,
      -0.004988347697783787,
      -0.005010646231497348,
      -0.005032568883465161
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334250398967852,
      10.091935929911264,
      9.842648284370995,
      9.589266208578348,
      9.334427956723987,
      9.080414284321188,
      8.829124315490855,
      8.58205928078397,
      8.340320408229564,
      8.104634338894279,
      7.875392708277995,
      7.652702090615824,
      7.436439543993508,
      7.226309143773933,
      7.021895775972054,
      6.822713618384246,
      6.628247898227716,
      6.437989444167675,
      6.251462841249622,
      6.068247484359979,
      5.887989660406567,
      5.710398203051419,
      5.535244980214975,
      5.362385809699926,
      5.191745233338953,
      5.023321746542614,
      4.857223218750594,
      4.69366998402742,
      4.532942290951465,
      4.375349329697716,
      4.221230573909794,
      4.070963423895288,
      3.9249280527908006,
      3.7834879234040577,
      3.646978888083488,
      3.51569806551669,
      3.3898939337512695,
      3.2697606614965973,
      3.1554350576893055,
      3.046982845296832,
      2.9443921211960027,
      2.8475801132570986,
      2.756379135317598,
      2.6705444358906916,
      2.589812259103798,
      2.5139167207240747,
      2.4425865069032024,
      2.37555384846676,
      2.3125484141866783,
      2.2532756540902588,
      2.197363618702675,
      2.144450091660968,
      2.09420289931695,
      2.0463053034006924,
      2.0004805798881997,
      1.9564965399286403,
      1.9141668702221393,
      1.873332204132205,
      1.8338611398015536,
      1.79563832431004,
      1.7585635574687206,
      1.7225568941736245,
      1.6875526967144192,
      1.6534956992975067,
      1.6203428167490814,
      1.5880587235694228,
      1.5566098350987552,
      1.5259646528727169,
      1.4960937955342803,
      1.4669691258710937,
      1.4385636673172253,
      1.4108516185219908,
      1.3838090399199832,
      1.3574119819164947,
      1.3316358960436085,
      1.306458116570524,
      1.281857630224221,
      1.2578147753961137,
      1.2343110336215102,
      1.2113288803664932,
      1.1888516745579358,
      1.1668635759106718,
      1.1453496326726664,
      1.1242966043733258,
      1.1036921616319997,
      1.083524624223078,
      1.0637823852463535,
      1.0444538893360267,
      1.0255277793572533,
      1.0069929817921666,
      0.9888387544339089,
      0.9710547077384294,
      0.9536308124072765,
      0.9365573977498934,
      0.9198251439184911,
      0.9034250712360413,
      0.8873485276769363,
      0.8715871755918967,
      0.8561329782442667,
      0.8409781865022818,
      0.8261153262771095,
      0.8115371857039761,
      0.7972368029860669,
      0.7832074555549956,
      0.7694426489552465,
      0.755936106648544,
      0.7426817601430596,
      0.7296737398645508,
      0.7169063662118856,
      0.7043741414531026,
      0.6920717417638127,
      0.6799940099258592,
      0.6681359480024621,
      0.6564927109030649,
      0.64505959994154,
      0.633832056655767,
      0.6228056571786237,
      0.6119761067087623,
      0.6013392346180166,
      0.5908909623180317,
      0.580627278954244,
      0.5705445559385509,
      0.5606401225377697,
      0.5509111981233902,
      0.5413547492014725,
      0.5319676162904212,
      0.5227465928125328,
      0.5136884737384343,
      0.5047900852167821,
      0.4960483016037588,
      0.48746005580816093,
      0.4790223449254026,
      0.4707322324582677,
      0.46258684912046094,
      0.4545833924567869,
      0.4467191260189612,
      0.43899137763569834,
      0.431397779066173,
      0.42393617972759184,
      0.416604336135554,
      0.40939995470084667,
      0.40232073025848675,
      0.39536436993512264,
      0.3885286074144615,
      0.38181121117799866,
      0.3752099893855703,
      0.36872279234346134,
      0.3623475478055072,
      0.3560823669087695,
      0.349925384924936,
      0.34387471423986815,
      0.33792846790596276,
      0.3320847740339425,
      0.3263417847004623,
      0.32069768072394,
      0.31515067473916303,
      0.3096990338303649,
      0.3043410810226556,
      0.2990751585099214,
      0.29389962938799136,
      0.28881288187689014,
      0.28381333159374944,
      0.2788994229607968,
      0.2740696295810346,
      0.26932245404649435,
      0.2646564277314286,
      0.2600701104089986,
      0.2555620898218943,
      0.25113098115987853,
      0.24677542640799002,
      0.2424940583443871,
      0.23828535647841695,
      0.23414782719024327,
      0.23008008877089126,
      0.22608083841944865,
      0.22214883153448445,
      0.21828286837078342,
      0.21448178525368314,
      0.2107444490230312,
      0.20707005177365764,
      0.20345796881538633,
      0.19990741710644927,
      0.1964175152647379,
      0.19298731057971638,
      0.18961573218398822,
      0.18630169376285124,
      0.18304415297819518,
      0.17984210203572173,
      0.17669456128440636,
      0.17360057512154928,
      0.1705592094386265,
      0.16756954954992262,
      0.16463069915752937,
      0.1617417790649416,
      0.15890192673608797,
      0.15611029547742658,
      0.15336605408178908,
      0.15066838656353357,
      0.14801649166117242,
      0.14540958248227742,
      0.14284688607872348,
      0.14032764342421217,
      0.13785110893399902,
      0.13541655041178796,
      0.1330232484113649,
      0.13067049634181216,
      0.12835759999330007,
      0.12608387748810762,
      0.1238486590395802,
      0.12165128658264025,
      0.11949111358671492,
      0.11736750474505786,
      0.11527983601725081,
      0.11322749426830081,
      0.11120987707618582,
      0.1092263924652856,
      0.10727645874333627,
      0.10535950443574411,
      0.10347496796035655,
      0.10162229736029046,
      0.09980095049500358,
      0.09801039452586004,
      0.0962501058020883,
      0.09451956984118785,
      0.09281828086964436,
      0.09114574201036943,
      0.08950146494728635,
      0.08788496975281292,
      0.08629578475679955,
      0.08473344641607891,
      0.08319749907514461,
      0.08168749518395596,
      0.08020299470123751,
      0.07874356513211461,
      0.07730878144270346,
      0.0758982257976865,
      0.07451148751453532,
      0.07314816304616603,
      0.07180785589124729,
      0.07049017608381136,
      0.06919474039754901,
      0.06792117234461187,
      0.06666910165891242,
      0.06543816425982661,
      0.06422800250243024,
      0.06303826488831504,
      0.06186860593272568,
      0.06071868588503855,
      0.059588170849328936,
      0.0584767325632919,
      0.057384048481541446,
      0.05630980138083235,
      0.05525367946832314,
      0.054215376427377525,
      0.05319459105776213,
      0.052191027243422394,
      0.05120439388837196,
      0.05023440495725141,
      0.04928077919162576,
      0.048343240133347974,
      0.04742151599446066,
      0.04651533955773813,
      0.04562444818604637,
      0.04474858371603173,
      0.04388749228586821,
      0.043040924475091835,
      0.04220863499382466,
      0.0413903828075778,
      0.040585930737351304,
      0.03979504579988514,
      0.03901749901663885,
      0.03825306520325622,
      0.03750152299597272,
      0.03676265476558145,
      0.03603624653929271,
      0.03532208813388018,
      0.03461997266697971,
      0.033929696889336704,
      0.03325106102808437,
      0.032583868669161645,
      0.03192792672232064,
      0.031283045342075363,
      0.030649037758893525,
      0.030025720587041962,
      0.02941291347733479,
      0.028810439112495652,
      0.028218123156897177,
      0.027635794294252086,
      0.027063283946012914,
      0.026500426579604035,
      0.025947059239219222,
      0.025403021786597535,
      0.024868156936309924,
      0.024342309952296488,
      0.023825328672520275,
      0.023317063575154354,
      0.022817367689801596,
      0.02232609661389898,
      0.021843108096866057,
      0.02136826240457682,
      0.020901422293611117,
      0.020442452733384235,
      0.019991221102546326,
      0.019547596828635886,
      0.019111451595717883,
      0.018682659236098756,
      0.018261095764168032,
      0.017846639336030645,
      0.017439170147397126,
      0.01703857034595631,
      0.016644723963977256,
      0.01625751717638891,
      0.015876838000891347,
      0.015502576495536123,
      0.015134624359207934,
      0.0147728751500086,
      0.014417224313071377,
      0.01406756903152106,
      0.01372380824972513,
      0.013385842607625594,
      0.013053574375995134,
      0.012726907537403149,
      0.012405747606697102,
      0.012090001725235455,
      0.011779578557328793,
      0.011474388441029772,
      0.011174343125637814,
      0.010879355927933453,
      0.010589341519404587,
      0.010304216062439682,
      0.010023897167630904,
      0.009748303736027563,
      0.009477356156192397,
      0.00921097614459595,
      0.008949086775798601,
      0.008691612180381727,
      0.008438477909095117,
      0.008189610793179102,
      0.007944938905657978,
      0.007704391488938096,
      0.0074678991351575606,
      0.007235393456411885,
      0.007006807179366881,
      0.006782074205435542,
      0.0065611295359792625,
      0.006343909405344464,
      0.006130350966712276,
      0.005920392529257537,
      0.005713973450289706,
      0.0055110339979229095,
      0.005311515555506278,
      0.0051153603408966375,
      0.0049225118288911225,
      0.004732914211083811,
      0.0045465126222200515,
      0.004363253281028624,
      0.004183083177387317,
      0.004005950220404467,
      0.0038318031804401354,
      0.0036605917677881637,
      0.0034922665815696023,
      0.0033267788841117372,
      0.0031640808230753016,
      0.0030041253135567104,
      0.0028468661587560933,
      0.002692257836706402,
      0.0025402556904109675,
      0.0023908158864381674,
      0.0022438952553137654,
      0.0020994512939521075,
      0.001957442335902933,
      0.0018178272923257313,
      0.001680565713568655,
      0.0015456179291347225,
      0.0014129449683329676,
      0.0012825084518280694,
      0.0011542707207787403,
      0.0010281947081425425,
      0.0009042439078718779,
      0.0007823825621359804,
      0.0006625754890807552,
      0.0005447880023013802,
      0.0004289861497840542,
      0.00031513636409393034,
      0.00020320571906831176,
      9.316187025703016e-05,
      -1.5026887549417169e-05,
      -0.00012139192280828182,
      -0.00022596398323845813,
      -0.0003287732658423481,
      -0.0004298494971637717,
      -0.0005292219291456879,
      -0.000626919129454508,
      -0.0007229694436578728,
      -0.0008174006292040974,
      -0.0009102400410005644,
      -0.0010015143824121174,
      -0.00109125005184779,
      -0.00117947304922542,
      -0.001266208836203414,
      -0.0013514825254559376,
      -0.0014353188709200237,
      -0.0015177420151744996,
      -0.0015987757814048577,
      -0.0016784435378008416,
      -0.0017567684169097948,
      -0.001833772928898159,
      -0.001909479311149315,
      -0.0019839094498217166,
      -0.002057084927798842,
      -0.002129026848677255,
      -0.002199756078471303,
      -0.0022692930478199137,
      -0.0023376578510196865,
      -0.0024048702680303014,
      -0.0024709496319552634,
      -0.00253591513393506,
      -0.0025997855041538314,
      -0.0026625792063662487,
      -0.0027243144211331876,
      -0.0027850089837657003,
      -0.0028446803397605496,
      -0.0029033458551537454,
      -0.002961022426360657,
      -0.003017726744100433,
      -0.0030734751360558758,
      -0.003128283783707008,
      -0.0031821685631916712,
      -0.0032351449741416616,
      -0.0032872283849219096,
      -0.003338433870307731,
      -0.0033887760989722974,
      -0.0034382697091509783,
      -0.0034869289779577194,
      -0.0035347680748865117,
      -0.0035818006973010086,
      -0.0036280404870553144,
      -0.003673500816627165,
      -0.0037181948292184463,
      -0.0037621354646907336,
      -0.003805335376663349,
      -0.003847807103414627,
      -0.0038895628051222567,
      -0.003930614617067354,
      -0.003970974442650563,
      -0.004010653968741863,
      -0.00404966453295593,
      -0.004088017448349964,
      -0.004125723901401411,
      -0.0041627948116353276,
      -0.004199240791596264,
      -0.004235072360277721,
      -0.004270299895482123,
      -0.004304933572786165,
      -0.0043389834181927715,
      -0.004372459264699511,
      -0.004405370797312506,
      -0.004437727546537684,
      -0.004469538836735816,
      -0.004500813956475232,
      -0.0045315619148860705,
      -0.004561791502603166,
      -0.004591511555224646,
      -0.004620730619076155,
      -0.004649457067478425,
      -0.004677699235219797,
      -0.004705465311692,
      -0.004732763270963491,
      -0.004759601024122311,
      -0.004785986316519882,
      -0.0048119268730226015,
      -0.0048374301608437925,
      -0.004862503552660526,
      -0.004887154323652152,
      -0.0049113895082548735,
      -0.004935216188740486,
      -0.004958641281233822,
      -0.004981671562883556,
      -0.00500431367935992,
      -0.005026574146248641,
      -0.005048459405233426
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334248096721758,
      10.091925636549547,
      9.842624767290877,
      9.589224421193586,
      9.334363946995897,
      9.080325333918427,
      8.829008735922978,
      8.581916100987895,
      8.340149177005872,
      8.10443495795412,
      7.875165295380805,
      7.652446877269572,
      7.43615680894019,
      7.225999172158988,
      7.021558843052616,
      6.822349997262018,
      6.627857877628814,
      6.437573378695297,
      6.251021216302539,
      6.067780907737246,
      5.887498938298404,
      5.709884387150841,
      5.534709336663991,
      5.361829847001068,
      5.1911705557901895,
      5.022730382293137,
      4.8566181592494955,
      4.6930544996679195,
      4.532319660756484,
      4.374722900582689,
      4.220603974244705,
      4.070340344662392,
      3.924312031289433,
      3.782882277593567,
      3.6463866597130368,
      3.5151219800856994,
      3.389336361662417,
      3.2692235920023776,
      3.154920086047531,
      3.0464910001437073,
      2.943923804775761,
      2.8471352581044758,
      2.7559569429497746,
      2.6701437157030647,
      2.5894316840842397,
      2.513554730624543,
      2.44224154841269,
      2.3752243815975485,
      2.3122327955311137,
      2.2529720452930015,
      2.1970698063562,
      2.1441640661781287,
      2.093922670823098,
      2.046029121513902,
      2.0002070474215543,
      1.956224622141507,
      1.9138957984712617,
      1.8730614054674164,
      1.833590177594909,
      1.7953667717977715,
      1.7582911088915691,
      1.7222833498903896,
      1.687277929647986,
      1.6532198348444298,
      1.6200662942543842,
      1.5877818310563756,
      1.55633276371463,
      1.5256875460616959,
      1.4958167565176699,
      1.466692225063421,
      1.438286953573924,
      1.4105751269826474,
      1.3835328100205861,
      1.357136062584423,
      1.3313603283109918,
      1.306182931334019,
      1.2815828517844197,
      1.2575404243679968,
      1.2340371278424782,
      1.2110554365485466,
      1.1885787097697678,
      1.1665911067540298,
      1.1450776841564962,
      1.1240252117175966,
      1.103421358282224,
      1.0832544474073211,
      1.0635128644278622,
      1.0441850490896294,
      1.0252596416612596,
      1.006725566823937,
      0.9885720805823025,
      0.9707887927162321,
      0.9533656734802319,
      0.9362930517442974,
      0.9195616076194756,
      0.9031623612607338,
      0.8870866605859582,
      0.8713261677824593,
      0.8558728460305303,
      0.8407189461310086,
      0.8258569938264315,
      0.8112797772228636,
      0.7969803345180896,
      0.7829519428182096,
      0.7691881073138176,
      0.7556825509940753,
      0.742429205220956,
      0.7294222005113533,
      0.7166558568438216,
      0.7041246763560841,
      0.6918233349141504,
      0.6797466747232263,
      0.6678896978560461,
      0.6562475589931449,
      0.6448155590214868,
      0.6335891392506762,
      0.6225638755448475,
      0.6117354727326902,
      0.60109975978128,
      0.5906526574244017,
      0.5803901547364155,
      0.5703086937188909,
      0.5604056137613588,
      0.5506781013354272,
      0.5411231023919799,
      0.5317374445846323,
      0.5225179131866317,
      0.5134612975390701,
      0.5045644201722166,
      0.49582415307836536,
      0.487237427583483,
      0.47880123971570987,
      0.470512652263099,
      0.462368795492301,
      0.45436686673605103,
      0.44650412897717046,
      0.43877790964562013,
      0.4311858616614447,
      0.42372583448752044,
      0.4163955756330536,
      0.4091927857228555,
      0.40211515595836184,
      0.39516039105181777,
      0.3883262230209396,
      0.38161041916527283,
      0.3750107869889361,
      0.36852517635701415,
      0.36215151931812906,
      0.3558879326107534,
      0.34973254721772495,
      0.34368347242330766,
      0.3377388193629345,
      0.3318967148829286,
      0.3261553100077093,
      0.32051278520525034,
      0.3149673527703302,
      0.30951728105641724,
      0.3041608927505814,
      0.29889652925599386,
      0.293722553042462,
      0.2886373519655585,
      0.2836393414598902,
      0.2787269658549763,
      0.2738986982776925,
      0.2691530411694305,
      0.26448852570750814,
      0.2599037115591646,
      0.2553971863612611,
      0.2509675650043383,
      0.2466134894236471,
      0.2423335960539121,
      0.23812636920155103,
      0.23399031206216675,
      0.22992404083340875,
      0.22592625142175612,
      0.2219956983969922,
      0.21813118150473831,
      0.214331536737516,
      0.2105956304710767,
      0.20692264597136217,
      0.20331195808754746,
      0.19976278685785606,
      0.1962742529673089,
      0.19284540322726912,
      0.18947516506533016,
      0.18616245421674532,
      0.18290622979011453,
      0.17970548486567,
      0.17655924017332447,
      0.17346654048828697,
      0.17042645193148842,
      0.1674380599807935,
      0.16450046832825838,
      0.1616127977709583,
      0.15877418583909375,
      0.15598378596542173,
      0.1532407667917413,
      0.15054431231004367,
      0.1478936211802663,
      0.14528790645023076,
      0.14272639525820516,
      0.1402083284404987,
      0.13773296052807918,
      0.13529955918404657,
      0.13290740507354237,
      0.13055579165705333,
      0.12824402477994643,
      0.12597142265503608,
      0.12373731538615879,
      0.12154104485891214,
      0.11938196440654021,
      0.11725943886124628,
      0.11517284424693683,
      0.1131215673547485,
      0.11110500573447783,
      0.10912256751670316,
      0.10717367106563186,
      0.10525774479235,
      0.1033742271915363,
      0.10152256644727847,
      0.09970222032526735,
      0.09791265602715685,
      0.09615334998692902,
      0.09442378771196874,
      0.09272346354612176,
      0.09105188052652019,
      0.08940855035935066,
      0.08779299314543679,
      0.08620473735455891,
      0.08464331940229294,
      0.08310828375737268,
      0.08159918268251384,
      0.08011557629254709,
      0.07865703215617499,
      0.07722312525571097,
      0.07581343781666765,
      0.0744275593130037,
      0.07306508629458151,
      0.07172562211934091,
      0.07040877688479368,
      0.06911416741591542,
      0.06784141713370125,
      0.06659015594848454,
      0.06536002007777975,
      0.06415065177278854,
      0.0629616994551659,
      0.06179281752937266,
      0.0606436664530294,
      0.05951391230421347,
      0.0584032270409737,
      0.05731128813361359,
      0.05623777844980559,
      0.055182386318606134,
      0.05414480531276189,
      0.05312473426050379,
      0.05212187722300477,
      0.05113594321784044,
      0.050166646110343834,
      0.04921370473983699,
      0.04827684266659182,
      0.04735578813112365,
      0.04645027402744445,
      0.045560037846439715,
      0.04468482144255813,
      0.04382437109087397,
      0.04297843728368206,
      0.042146774807507184,
      0.04132914261050961,
      0.04052530374276447,
      0.03973502529674055,
      0.0389580782992499,
      0.03819423748801214,
      0.0374432815988939,
      0.036704993127220316,
      0.0359791581676114,
      0.03526556641370318,
      0.03456401115250149,
      0.033874289298085884,
      0.03319620110852573,
      0.032529550208150494,
      0.03187414357211689,
      0.03122979117999035,
      0.030596306597270428,
      0.029973506399987554,
      0.029361210285417525,
      0.02875924092790506,
      0.028167424138108403,
      0.027585588564148108,
      0.027013565868241086,
      0.026451190361100434,
      0.025898299257596572,
      0.025354732434568955,
      0.02482033266358131,
      0.02429494527576516,
      0.023778418263011646,
      0.02327060212838781,
      0.022771349893045943,
      0.02228051701700271,
      0.021797961526963873,
      0.02132354376603048,
      0.020857126489422007,
      0.020398574683267515,
      0.01994775564681417,
      0.019504538987985712,
      0.01906879643714341,
      0.01864040193004408,
      0.018219231552944963,
      0.01780516339431679,
      0.017398077607945144,
      0.01699785647777903,
      0.016604384230046936,
      0.016217547031533882,
      0.01583723303310924,
      0.01546333225576077,
      0.015095736401503895,
      0.014734339160208583,
      0.014379036041110193,
      0.014029724255751741,
      0.01368630270941985,
      0.013348671999153116,
      0.013016734526676267,
      0.012690394236420223,
      0.0123695567351482,
      0.012054129258877142,
      0.011744020614536695,
      0.011439141127673302,
      0.011139402581729303,
      0.010844718319732664,
      0.010555002993377628,
      0.010270172857393671,
      0.00999014554266633,
      0.009714840051248445,
      0.00944417671225584,
      0.009178077301800855,
      0.008916464825117003,
      0.008659263602683267,
      0.008406399253092688,
      0.008157798681141864,
      0.007913389924580202,
      0.007673102304367265,
      0.0074368663763774,
      0.007204613792418935,
      0.006976277356568085,
      0.006751791085794681,
      0.0065310900146781595,
      0.006314110322299336,
      0.006100789297831213,
      0.005891065177228332,
      0.005684877397146903,
      0.005482166420682104,
      0.005282873573755165,
      0.005086941152114426,
      0.004894312423611973,
      0.004704931711205119,
      0.004518744244106474,
      0.004335696222811264,
      0.0041557347096872815,
      0.003978807637728286,
      0.0038048637457887714,
      0.003633852689168264,
      0.0034657251220338837,
      0.003300432497234198,
      0.003137926920568811,
      0.002978161452532196,
      0.0028210898663015077,
      0.00266666679740154,
      0.0025148475209890763,
      0.0023655880308614107,
      0.002218845331133386,
      0.002074577006601366,
      0.0019327412597936553,
      0.0017932971031210773,
      0.0016562042169615057,
      0.0015214228106437467,
      0.001388913943263681,
      0.0012586394152609992,
      0.0011305615358420155,
      0.0010046431658994111,
      0.0008808479093471902,
      0.0007591400528834164,
      0.0006394844065697293,
      0.000521846395074883,
      0.0004061918515218051,
      0.0002924874435645926,
      0.00018070027495816274,
      7.079801114633174e-05,
      -3.7251158738463386e-05,
      -0.0001434785258834799,
      -0.00024791472370732905,
      -0.0003505900011250029,
      -0.00045153402919452783,
      -0.0005507759670134453,
      -0.0006483445060250023,
      -0.0007442679828203282,
      -0.0008385740322811101,
      -0.0009312899505483796,
      -0.0010224425731881035,
      -0.0011120581833010104,
      -0.0012001627229267645,
      -0.0012867816339853504,
      -0.0013719399964208982,
      -0.001455662461214271,
      -0.0015379732200005451,
      -0.0016188961572480263,
      -0.0016984546386836863,
      -0.001776671584019935,
      -0.0018535696649644605,
      -0.001929171101647063,
      -0.0020034978262901534,
      -0.0020765713466129013,
      -0.0021484126711706123,
      -0.002219042557316713,
      -0.002288481484680752,
      -0.0023567495893005858,
      -0.002423866665842916,
      -0.002489852022879967,
      -0.0025547247115276497,
      -0.0026185036510711418,
      -0.002681207219793061,
      -0.002742853435291108,
      -0.0028034602669065045,
      -0.0028630451654636114,
      -0.0029216253483484115,
      -0.0029792178796374576,
      -0.0030358394316984485,
      -0.0030915062998264895,
      -0.0031462345044138674,
      -0.0032000398475733995,
      -0.0032529379368869773,
      -0.0033049441321569358,
      -0.003356073395857042,
      -0.003406340460006671,
      -0.0034557599285224816,
      -0.003504346099171034,
      -0.0035521130197965468,
      -0.003599074530589737,
      -0.003645244293162901,
      -0.0036906355068850078,
      -0.0037352613552348733,
      -0.0037791348221030037,
      -0.0038222683866073106,
      -0.0038646746445113148,
      -0.00390636587425332,
      -0.003947354091499334,
      -0.00398765118558661,
      -0.0040272688132018996,
      -0.004066218387038112,
      -0.004104511247805839,
      -0.0041421584543738935,
      -0.004179170827241563,
      -0.00421555907988498,
      -0.0042513338227972795,
      -0.004286505356981324,
      -0.004321083867091066,
      -0.004355079321458381,
      -0.004388501517671535,
      -0.004421360235399949,
      -0.0044536649250605295,
      -0.004485424973866265,
      -0.004516649469112676,
      -0.004547347373864241,
      -0.004577527676638593,
      -0.0046071991276842245,
      -0.004636370266924542,
      -0.004665049489466559,
      -0.00469324507836509,
      -0.004720965237238336,
      -0.004748218058851917,
      -0.004775011474281608,
      -0.004801353061174036,
      -0.004827250391836277,
      -0.0048527110246543844,
      -0.004877742425589904,
      -0.004902351724037153,
      -0.004926546084353667,
      -0.0049503325047470315,
      -0.004973717794223558,
      -0.004996708777176804,
      -0.00501931212307231,
      -0.00504153427708321,
      -0.005063381727396661
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334245794679115,
      10.091915344306267,
      9.842601251072354,
      9.589182632454742,
      9.33429993520383,
      9.080236378676657,
      8.828893144970912,
      8.581772900217794,
      8.339977911778304,
      8.104235526454756,
      7.874937815620033,
      7.652191583557132,
      7.435873980822805,
      7.225689095874001,
      7.021221796619188,
      6.821986254401022,
      6.627467728632722,
      6.437157188839669,
      6.250579480996648,
      6.067314232492328,
      5.887008128093944,
      5.709370490875621,
      5.534173618316258,
      5.361273812735036,
      5.190595807545066,
      5.022138947712556,
      4.856013031001984,
      4.692438947796036,
      4.531696965362943,
      4.374096408899851,
      4.219977314239695,
      4.0697172069525465,
      3.923695952494162,
      3.7822765760659265,
      3.6457943766105694,
      3.514545839625881,
      3.3887787327896643,
      3.2686864627566248,
      3.1544050499293452,
      3.045999082905713,
      2.9434554068212146,
      2.846690311249208,
      2.7555346489845247,
      2.6697428846390485,
      2.5890509893673874,
      2.5131926132529547,
      2.4418964559400553,
      2.374894773273442,
      2.3119170284078643,
      2.2526682816285537,
      2.196775834292835,
      2.1438778776634715,
      2.0936422786847495,
      2.045752777470494,
      1.999933355048488,
      1.955952546158398,
      1.9136245719536924,
      1.8727904574068355,
      1.833319039601346,
      1.7950950089368283,
      1.7580184310710811,
      1.7220095671661977,
      1.6870029211510977,
      1.6529437296524518,
      1.619789534595015,
      1.587504706936962,
      1.5560554672686322,
      1.5254102214874414,
      1.4955395072055662,
      1.4664151209641179,
      1.4380100432623997,
      1.4102984454530767,
      1.383256397463811,
      1.3568599681614495,
      1.3310845928197608,
      1.3059075851237993,
      1.281307918856645,
      1.2572659250842235,
      1.233763081156821,
      1.2107818593229343,
      1.1883056184105465,
      1.166318517864469,
      1.144805621427901,
      1.123753710124054,
      1.1031504524008948,
      1.0829841745366076,
      1.0632432540590853,
      1.0439161259371788,
      1.024991426938329,
      1.0064580798517895,
      0.988305339616314,
      0.9705228150405556,
      0.9531004763486302,
      0.9360286519821229,
      0.9192980217168791,
      0.9028996057544235,
      0.8868247516114772,
      0.871065121627794,
      0.8556126787083114,
      0.840459673800459,
      0.8255986325400207,
      0.8110223425566544,
      0.796723841900073,
      0.7826964075627499,
      0.7689335446938743,
      0.7554289765812022,
      0.7421766339915556,
      0.7291706467805109,
      0.7164053350239594,
      0.7038752004834941,
      0.6915749191056713,
      0.6794993330113588,
      0.6676434435299321,
      0.6560024049455525,
      0.6445715178552406,
      0.633346223323958,
      0.6223220970323756,
      0.6114948433206376,
      0.6008602908100869,
      0.5904143594879047,
      0.5801530385164376,
      0.5700728468308447,
      0.5601711248080675,
      0.5504450274652234,
      0.5408914806442656,
      0.5315072991700183,
      0.5222892599961746,
      0.5132341475510588,
      0.5043387808255112,
      0.4956000296525475,
      0.4870148239802996,
      0.47858015854183733,
      0.4702930955644016,
      0.4621507645380327,
      0.4541503623289432,
      0.4462891517815783,
      0.43856446539210486,
      0.4309739743859483,
      0.4235155228522966,
      0.41618685022467344,
      0.40898565221468275,
      0.4019096168012497,
      0.39495644638536137,
      0.3881238714962582,
      0.38140965860496046,
      0.3748116146838833,
      0.36832758900165447,
      0.36195551784762814,
      0.3556935237484538,
      0.34953973310158776,
      0.3434922522376713,
      0.3375491903697526,
      0.33170867323906245,
      0.3259688511046023,
      0.32032790368452513,
      0.3147840429029976,
      0.30933553856828155,
      0.30398071311317576,
      0.2987179069797251,
      0.29354548213400794,
      0.28846182603731835,
      0.28346535370853704,
      0.27855450904883733,
      0.273727765198485,
      0.2689836244412524,
      0.26432061785257427,
      0.2597373049746422,
      0.2552322732175668,
      0.2508041375226457,
      0.24645153968086772,
      0.24217311948610876,
      0.23796736610070118,
      0.23383277941599784,
      0.22976797368325158,
      0.22577164351056855,
      0.22184254251884794,
      0.21797946992536016,
      0.21418126137020993,
      0.21044678301190653,
      0.20677520939458632,
      0.20316591472204099,
      0.19961812234780774,
      0.1961309548398023,
      0.19270345837331726,
      0.18933455875397476,
      0.18602317398984203,
      0.1827682645294567,
      0.17956882411884867,
      0.17642387407977592,
      0.1733324595285733,
      0.17029364670249691,
      0.16730652109826383,
      0.16437018650634855,
      0.16148376392098807,
      0.1586463908120915,
      0.1558572204594244,
      0.15311542165849581,
      0.15042017837200372,
      0.14777068932705995,
      0.14516616749289707,
      0.14260583989714923,
      0.14008894748734554,
      0.1376147448346978,
      0.1351824994441294,
      0.13279149202394522,
      0.13044101605615557,
      0.1281303774114316,
      0.12585889410219725,
      0.123625896371391,
      0.12143072608069412,
      0.11927273665622358,
      0.11715129295504872,
      0.11506577091995346,
      0.11301555731320938,
      0.11100004979689641,
      0.10901865644944199,
      0.10707079568566433,
      0.10515589603786381,
      0.10327339594497784,
      0.10142274356127269,
      0.09960339677576474,
      0.09781482283748788,
      0.09605649815867362,
      0.09432790811058005,
      0.09262854716141893,
      0.09095791851070009,
      0.08931553380487305,
      0.08770091312969758,
      0.08611358495875135,
      0.08455308579059455,
      0.08301896019925638,
      0.08151076055609464,
      0.08002804684653128,
      0.07857038671034634,
      0.07713735521988457,
      0.07572853465608502,
      0.07434351456798238,
      0.07298189138706496,
      0.07164326850573678,
      0.07032725618649108,
      0.06903347142307728,
      0.0677615375204104,
      0.06651108442299658,
      0.0652817484151212,
      0.06407317186356652,
      0.06288500323048055,
      0.06171689710887417,
      0.06056851383200707,
      0.05943951957476202,
      0.05832958630162192,
      0.057238391440480756,
      0.0561656181044445,
      0.05511095456535704,
      0.05407409455756225,
      0.05305473691150386,
      0.05205258561398017,
      0.051067349798268186,
      0.05009874339450971,
      0.04914648522719777,
      0.048210299048649936,
      0.04728991311057845,
      0.04638506045894697,
      0.04549547847375487,
      0.04462090906813118,
      0.04376109863689739,
      0.04291579773014019,
      0.04208476117785137,
      0.04126774789059574,
      0.04046452107978535,
      0.039674847915413765,
      0.038898499412219345,
      0.03813525035864073,
      0.037384879667853324,
      0.036647169809069305,
      0.035921907003423105,
      0.035208880995065174,
      0.03450788514767035,
      0.03381871630040771,
      0.03314117478321814,
      0.03247506424229492,
      0.03182019168830134,
      0.031176367347301975,
      0.030543404778871894,
      0.029921120561551738,
      0.029309334467170097,
      0.028707869246575955,
      0.028116550719659152,
      0.027535207603829714,
      0.026963671410458724,
      0.026401776721780623,
      0.02584936088738595,
      0.025306263929118503,
      0.024772328666198416,
      0.02424740037369813,
      0.023731326985533915,
      0.02322395910363507,
      0.0227251497060258,
      0.02223475433492762,
      0.021752631059341294,
      0.02127864031389181,
      0.0208126448677508,
      0.020354509789919473,
      0.019904102576170476,
      0.019461292827211308,
      0.019025952285292132,
      0.018597954885134056,
      0.018177176737443186,
      0.017763495999543934,
      0.01735679302171244,
      0.016956950119920957,
      0.016563851470998422,
      0.016177383333221843,
      0.015797433842072054,
      0.015423892915538051,
      0.01505665252859912,
      0.014695606461695813,
      0.0143406500877647,
      0.01399168073848905,
      0.013648597383977758,
      0.013311300758673355,
      0.012979693220162888,
      0.012653678849810014,
      0.012333163337323278,
      0.012018053839955729,
      0.011708259191139613,
      0.011403689625394406,
      0.011104257145229742,
      0.010809875093148662,
      0.010520458174654733,
      0.01023592266412716,
      0.009956186267293311,
      0.009681168052906353,
      0.009410788421640016,
      0.009144969111692481,
      0.008883633184413455,
      0.008626704970579829,
      0.008374110193396492,
      0.008125775677022249,
      0.007881629549314609,
      0.007641601309592558,
      0.007405621412180463,
      0.007173621540623733,
      0.0069455347084951624,
      0.006721294856529545,
      0.006500837032393008,
      0.0062840974539097975,
      0.006071013436805352,
      0.005861523231347362,
      0.0056555662890913055,
      0.005453083012390144,
      0.005254014876777783,
      0.005058304245820154,
      0.00486589450741543,
      0.004676729883492705,
      0.004490755732824132,
      0.004307918215380666,
      0.004128164437522995,
      0.003951442416077024,
      0.003777700982418201,
      0.0036068898360713544,
      0.0034389595381368564,
      0.003273861533443814,
      0.0031115481445944605,
      0.002951972276452593,
      0.002795087810436281,
      0.0026408494040777828,
      0.0024892123769162428,
      0.002340132872236082,
      0.002193567652758676,
      0.0020494743448788524,
      0.00190781126572649,
      0.0017685374566818453,
      0.0016316126753979847,
      0.0014969972312944995,
      0.0013646521607464867,
      0.0012345392585357549,
      0.0011066208512866562,
      0.0009808599425911912,
      0.0008572199592112134,
      0.0007356652758833344,
      0.0006161608015811436,
      0.0004986718610495912,
      0.0003831644338152854,
      0.0002696051415674573,
      0.00015796122533513838,
      4.820028316020419e-05,
      -5.970952621633226e-05,
      -0.00016579935383669004,
      -0.0002700999231091125,
      -0.00037264136385831885,
      -0.0004734532924176671,
      -0.0005725649344355882,
      -0.0006700049024766675,
      -0.0007658014672187691,
      -0.0008599823949823426,
      -0.0009525748722858154,
      -0.0010436056571734866,
      -0.0011331011842780044,
      -0.0012210872484769877,
      -0.001307589392731058,
      -0.001392632645656709,
      -0.001476241556195946,
      -0.0015584403281117326,
      -0.0016392527307087278,
      -0.0017187020965630643,
      -0.00179681143211819,
      -0.0018736034700257659,
      -0.001949100370325685,
      -0.0020233239665241615,
      -0.0020962957112975983,
      -0.0021680367352820773,
      -0.0022385677963534002,
      -0.00230790925946619,
      -0.0023760811766467727,
      -0.0024431032829604457,
      -0.0025089949784877627,
      -0.0025737753791696123,
      -0.002637463213701627,
      -0.002700076846160776,
      -0.0027616343862727293,
      -0.0028221537733057024,
      -0.002881652471055884,
      -0.002940147587407032,
      -0.002997656075032262,
      -0.003054194645363584,
      -0.003109779630469057,
      -0.0031644272764179858,
      -0.003218153266145891,
      -0.003270973041952816,
      -0.0033229020633369372,
      -0.0033739552060399296,
      -0.0034241472022107935,
      -0.0034734926218054117,
      -0.003522005815400179,
      -0.0035697008814238418,
      -0.00361659158794895,
      -0.0036626914457952905,
      -0.0037080137360686965,
      -0.0037525716262154364,
      -0.0037963779349847507,
      -0.003839445475797758,
      -0.003881786623302382,
      -0.003923413514835689,
      -0.003964338314314287,
      -0.004004573005387901,
      -0.004044129146017201,
      -0.004083018098400732,
      -0.004121251105216746,
      -0.004158839289414183,
      -0.004195793525896392,
      -0.0042321245606754265,
      -0.004267842862293956,
      -0.004302958777331734,
      -0.004337482437500785,
      -0.004371423780269533,
      -0.004404792657996032,
      -0.0044375986919127355,
      -0.004469851469123719,
      -0.0045015603446605604,
      -0.004532734408440557,
      -0.004563382686344757,
      -0.0045935140038695825,
      -0.0046231371034444425,
      -0.004652260621386731,
      -0.004680893007540179,
      -0.004709042513786579,
      -0.004736717264638122,
      -0.0047639252636703195,
      -0.004790674272182292,
      -0.004816972075211944,
      -0.004842826244886932,
      -0.004868244310038655,
      -0.004893233741304595,
      -0.00491780178321246,
      -0.0049419554699037214,
      -0.004965701735386204,
      -0.004989047402717572,
      -0.0050119993634173575,
      -0.005034564159097964,
      -0.0050567483890595535,
      -0.0050785584816022845
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334243491924395,
      10.09190504728423,
      9.84257772409131,
      9.58914082512715,
      9.334235896038338,
      9.080147388627113,
      8.828777513900723,
      8.581629655567774,
      8.339806601987137,
      8.104036049864252,
      7.874710286674224,
      7.65193623616295,
      7.435591094997734,
      7.225378956586878,
      7.0208846798631015,
      6.821622431996223,
      6.627077489270482,
      6.436740895989949,
      6.250137630077212,
      6.066847430625318,
      5.886517181486022,
      5.708856448849975,
      5.533637744497512,
      5.360717614361164,
      5.1900208874384495,
      5.021547333441073,
      4.855407715815991,
      4.691823201933201,
      4.531074069915491,
      4.37346971232718,
      4.219350446630844,
      4.069093860460025,
      3.923079665240791,
      3.7816706662010446,
      3.6452018852800254,
      3.5139694912053376,
      3.388220896135592,
      3.2681491251678323,
      3.153889804234697,
      3.0455069550844707,
      2.9429867964841723,
      2.8462451496916787,
      2.7551121382720516,
      2.6693418339855324,
      2.5886700729032794,
      2.512830272901255,
      2.441551140804169,
      2.374564944673538,
      2.311601043532271,
      2.252364302991617,
      2.196481649384598,
      2.143591477928359,
      2.0933616781466737,
      2.0454762284465833,
      1.9996594621559045,
      1.955680276007216,
      1.9133531577893246,
      1.872519327662372,
      1.8330477246283345,
      1.7948230739307418,
      1.7577455874350987,
      1.7217356257569834,
      1.6867277614114238,
      1.6526674814513445,
      1.6195126409764138,
      1.5872274583968375,
      1.555778056206933,
      1.525132792099497,
      1.4952621622566051,
      1.4661379302793862,
      1.4377330558957957,
      1.4100216967218606,
      1.3829799273728836,
      1.3565838259421876,
      1.3308088191414693,
      1.3056322100105227,
      1.2810329666033262,
      1.256991415695865,
      1.2334890322257521,
      1.2105082880406377,
      1.1880325407642103,
      1.1660459493920527,
      1.1445335867035287,
      1.1234822440045658,
      1.1028795932321214,
      1.0827139574067928,
      1.0629737074953252,
      1.0436472733564128,
      1.0247232886848017,
      1.0061906752123362,
      0.9880386867820159,
      0.9702569316087432,
      0.9528353791461592,
      0.9357643576330706,
      0.9190345465832801,
      0.9026369660638837,
      0.8865629636703468,
      0.8708042014088759,
      0.8553526423384521,
      0.8402005372193463,
      0.8253404115011392,
      0.8107650528169642,
      0.7964674991162831,
      0.7824410269960687,
      0.7686791415114882,
      0.7551755656608726,
      0.7419242300447658,
      0.7289192644114594,
      0.7161549886503463,
      0.7036259040926711,
      0.6913266860742993,
      0.6792521767525931,
      0.667397377443444,
      0.655757442000817,
      0.6443276708515087,
      0.6331035045545087,
      0.6220805183447075,
      0.6112544167519787,
      0.6006210280953785,
      0.5901762715324462,
      0.5799161354944425,
      0.5698372157925997,
      0.5599368545704637,
      0.5502121750003535,
      0.5406600830610857,
      0.5312773806637068,
      0.5220608366117362,
      0.513007229979589,
      0.5041133764635101,
      0.4953761436765186,
      0.4867924600004634,
      0.47835931937119386,
      0.4700737830623842,
      0.46193298008121353,
      0.45393410681597834,
      0.44607442575814865,
      0.4383512804860346,
      0.4307623567250959,
      0.4233054878405523,
      0.415978406441848,
      0.408778803910631,
      0.4017043652756139,
      0.39475279132760177,
      0.3879218114245147,
      0.3812091911440623,
      0.37461273670930745,
      0.3681302970813299,
      0.36175981587863876,
      0.3554994171207263,
      0.3493472229910874,
      0.3433013374627139,
      0.3373598681534221,
      0.33152093939012733,
      0.3257827007887166,
      0.3201433314897095,
      0.3146010430021879,
      0.30915410658216336,
      0.30380084457885853,
      0.29853959649168804,
      0.29336872362339655,
      0.28828661289369434,
      0.283291678999188,
      0.27838236565828284,
      0.27355714588904195,
      0.268814521669168,
      0.2641530239754409,
      0.2595712122657313,
      0.2550676738781136,
      0.2506410236286073,
      0.24628990319092478,
      0.2420129558844146,
      0.23780867562642202,
      0.2336755591576971,
      0.22961221865697434,
      0.2256173474858214,
      0.22168969845682487,
      0.21782807009524088,
      0.21403129772847243,
      0.21029824723568008,
      0.20662808445362643,
      0.20302018295473137,
      0.1994737692438272,
      0.19598796789970993,
      0.1925618245511475,
      0.1891942634081142,
      0.18588420451089413,
      0.1826306096863576,
      0.17943247344816862,
      0.17628881781159444,
      0.17319868818970086,
      0.17016115089822412,
      0.16717529161837558,
      0.16424021413826706,
      0.1613550395169363,
      0.15851890509506428,
      0.15573096420966626,
      0.15299038577877017,
      0.15029635358407112,
      0.14764806636924846,
      0.14504473715836477,
      0.14248559300186064,
      0.13996987482507928,
      0.13749683708046717,
      0.13506574740649172,
      0.13267588652888615,
      0.13032654786247014,
      0.1280170371505525,
      0.12574667247810095,
      0.12351478401715789,
      0.12132071361783331,
      0.11916381484264198,
      0.1170434525790922,
      0.11495900269407332,
      0.11290985212976828,
      0.11089539854523416,
      0.1089150498523042,
      0.10696822451597669,
      0.10505435110660372,
      0.10317286810153786,
      0.1013232237068332,
      0.09950487577467088,
      0.097717291536408,
      0.09595994742457695,
      0.09423232905966963,
      0.09253393093689534,
      0.09086425622634929,
      0.08922281654519566,
      0.08760913202309623,
      0.08602273113292534,
      0.08446315046489583,
      0.08292993457644404,
      0.0814226357939286,
      0.0799408142957783,
      0.07848403777517791,
      0.07705188128214245,
      0.075643927094376,
      0.07425976485327776,
      0.07289899102894379,
      0.07156120911639656,
      0.07024602941805758,
      0.06895306886965331,
      0.06768195090960621,
      0.06643230546408284,
      0.06520376882535833,
      0.06399598347707545,
      0.06280859801862862,
      0.06164126694648002,
      0.060493650784854726,
      0.059365415736053084,
      0.05825623373988952,
      0.057165782373235545,
      0.05609374456650178,
      0.05503980886521583,
      0.05400366899678237,
      0.05298502390829495,
      0.051983577709258474,
      0.050999039442848615,
      0.05003112314929177,
      0.049079547817384175,
      0.04814403714194743,
      0.04722431942914472,
      0.04632012761458665,
      0.045431199178177464,
      0.04455727623863267,
      0.04369810505739167,
      0.04285343642095462,
      0.04202302514938647,
      0.04120663031374644,
      0.040404015094181595,
      0.039614946730262036,
      0.03883919621629604,
      0.038076538574019034,
      0.03732675259990616,
      0.03658962092606954,
      0.03586492975859772,
      0.035152468998522333,
      0.03445203195067171,
      0.03376341556120509,
      0.03308642011523307,
      0.03242084942493672,
      0.03176651049628988,
      0.031123213742952096,
      0.03049077269764718,
      0.029869003977667837,
      0.02925772736371132,
      0.02865676573853567,
      0.02806594487844075,
      0.027485093605749415,
      0.02691404367966706,
      0.026352629520205475,
      0.025800688521731695,
      0.025258060734920006,
      0.02472458901105604,
      0.024200118705451957,
      0.023684497886899726,
      0.023177577137444196,
      0.022679209629409045,
      0.022189251034361153,
      0.02170755932075154,
      0.021233994999579318,
      0.020768420991523057,
      0.020310702326040462,
      0.019860706465234558,
      0.019418302981688753,
      0.01898336380510509,
      0.01855576293675147,
      0.01813537656023976,
      0.01772208298917393,
      0.017315762451098057,
      0.016916297248225704,
      0.016523571658522272,
      0.016137472042253333,
      0.015757886562118347,
      0.015384705234585117,
      0.015017820115947756,
      0.014657124872735294,
      0.01430251502675086,
      0.013953887875859952,
      0.01361114256881585,
      0.01327417979878327,
      0.012942901922889084,
      0.012617213075601642,
      0.01229701897075186,
      0.011982226862769306,
      0.011672745615489448,
      0.011368485586393423,
      0.011069358645749698,
      0.010775278178216427,
      0.010486159048571884,
      0.010201917637498784,
      0.009922471774435858,
      0.009647740351638373,
      0.009377643832931673,
      0.009112104037073049,
      0.00885104419375906,
      0.008594388629613313,
      0.008342063107438116,
      0.008093994407576084,
      0.007850110848893442,
      0.007610341701817526,
      0.0073746174771165945,
      0.007142870034861924,
      0.006915032253546292,
      0.006691038135461619,
      0.006470822948574649,
      0.006254322934321655,
      0.0060414754201180264,
      0.005832218776712249,
      0.0056264924246309704,
      0.0054242367553317995,
      0.005225393202788953,
      0.005029904204265242,
      0.0048377131270885936,
      0.004648764332757453,
      0.0044630032002416975,
      0.00428037591799617,
      0.0041008296606944135,
      0.003924312490041518,
      0.0037507732210454114,
      0.003580161583472936,
      0.0034124282600135817,
      0.003247524648178416,
      0.003085403012733682,
      0.002926016394216744,
      0.0027693185643928404,
      0.0026152643220385408,
      0.0024638090353647636,
      0.0023149088358351585,
      0.0021685206813827477,
      0.00202460215558861,
      0.0018831116064460202,
      0.001744008091126346,
      0.00160725127252119,
      0.001472801566024524,
      0.001340620137057804,
      0.0012106686403201123,
      0.0010829093746803347,
      0.0009573053895655787,
      0.0008338204162402159,
      0.0007124186681400219,
      0.0005930650886180987,
      0.00047572500318709564,
      0.00036036456242188587,
      0.00024695025258821723,
      0.00013544929868284825,
      2.5829440230055426e-05,
      -8.194120178283597e-05,
      -0.00018789377282685943,
      -0.00029205878172920143,
      -0.0003944664685296028,
      -0.0004951465288066626,
      -0.0005941280648491663,
      -0.0006914398272854468,
      -0.0007871099332504323,
      -0.0008811660915476389,
      -0.0009736355269183744,
      -0.001064544889629043,
      -0.0011539205508974853,
      -0.0012417884330548114,
      -0.001328173971370618,
      -0.0014131021882284392,
      -0.0014965976835073606,
      -0.0015786846419128967,
      -0.0016593867180481425,
      -0.001738727262966224,
      -0.0018167292822237648,
      -0.001893415379708748,
      -0.0019688077512141832,
      -0.002042928226989715,
      -0.00211579830639244,
      -0.0021874390580096394,
      -0.0022578712277138042,
      -0.0023271152372510706,
      -0.0023951910482757836,
      -0.00246211845739456,
      -0.0025279167028884326,
      -0.002592604934551976,
      -0.0026562019326742464,
      -0.002718726016383437,
      -0.0027801952937369398,
      -0.002840627503724108,
      -0.0029000401623976105,
      -0.002958450491393512,
      -0.0030158754539946543,
      -0.0030723316627029153,
      -0.0031278354061334557,
      -0.003182402833982691,
      -0.0032360497214682193,
      -0.003288791486431083,
      -0.003340643453886895,
      -0.00339162069958287,
      -0.0034417379375244568,
      -0.0034910097623720077,
      -0.0035394503628787023,
      -0.003587073762358684,
      -0.003633893689239761,
      -0.003679923719976458,
      -0.0037251772304984195,
      -0.0037696673343599343,
      -0.003813406895989138,
      -0.003856408549306765,
      -0.0038986847665814237,
      -0.003940247748323238,
      -0.003981109502880977,
      -0.004021281893749498,
      -0.004060776552330287,
      -0.004099604898330103,
      -0.004137778203714735,
      -0.004175307490458984,
      -0.00421220362491357,
      -0.004248477347710227,
      -0.004284139080393527,
      -0.0043191992147336026,
      -0.004353667898725708,
      -0.0043875551020638726,
      -0.004420870655271107,
      -0.004453624180225207,
      -0.004485825165989489,
      -0.004517482796129439,
      -0.0045486063538460395,
      -0.004579204844807008,
      -0.004609287166134222,
      -0.004638862001445168,
      -0.004667937816677603,
      -0.004696523097081496,
      -0.004724626119410276,
      -0.004752255054718269,
      -0.004779417981142727,
      -0.00480612261022734,
      -0.004832376667328626,
      -0.004858187775466848,
      -0.004883563504276548,
      -0.0049085112026811635,
      -0.004933037983183083,
      -0.004957151055139113,
      -0.004980857345717457,
      -0.005004163673710238,
      -0.005027076814271484,
      -0.005049603423821797,
      -0.005071749989899575,
      -0.005093522913784654
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334241198019772,
      10.091894791228528,
      9.842554289283546,
      9.589099176890231,
      9.33417209453584,
      9.080058723180342,
      8.828662301807423,
      8.581486928308031,
      8.3396359088948,
      8.103837294068772,
      7.8744835891100795,
      7.65168182941416,
      7.43530925785476,
      7.225069974750995,
      7.0205488312395055,
      6.821259990413786,
      6.626688745665699,
      6.436326215537299,
      6.249697508023279,
      6.066382472995875,
      5.886028193581122,
      5.708344479997789,
      5.533104058774069,
      5.360163716264356,
      5.189448379061277,
      5.020958241621333,
      4.854805029247605,
      4.691210185586276,
      4.5304539973826765,
      4.3728459220945926,
      4.2187265573894495,
      4.068473553068328,
      3.922466465384027,
      3.781067879505353,
      3.644612539564602,
      3.513396297667479,
      3.3876662110694205,
      3.267614923588085,
      3.153377667738999,
      3.0450178998227706,
      2.942521213348029,
      2.8458029628535604,
      2.7546925452302466,
      2.668943642095023,
      2.588291953856204,
      2.5124706675550694,
      2.4412084978524167,
      2.3742377256877525,
      2.3112876072008737,
      2.252062814473212,
      2.1961898980544086,
      2.143307458518788,
      2.0930834095263346,
      2.0452019677737656,
      1.9993878182852638,
      1.955410219139124,
      1.9130839235899593,
      1.8722503475741141,
      1.832778531663624,
      1.794553235501972,
      1.7574748163962095,
      1.721463735134195,
      1.686454632707783,
      1.652393245710589,
      1.6192377421306077,
      1.5869521872788652,
      1.5555026060605508,
      1.5248573076470435,
      1.4949867479389514,
      1.4658626568550768,
      1.4374579721940626,
      1.4097468382453189,
      1.3827053339502549,
      1.35630954656403,
      1.3305348960962438,
      1.3053586745564536,
      1.2807598430646514,
      1.2567187246241511,
      1.23321679171189,
      1.210236515313453,
      1.1877612523470082,
      1.1657751619033627,
      1.1442633243037157,
      1.1232125422303711,
      1.1026104914353245,
      1.082445490885675,
      1.0627059041346536,
      1.043380157515412,
      1.0244568820613473,
      1.005924996821628,
      0.9877737547448365,
      0.9699927633954714,
      0.9525719917004559,
      0.9355017679365162,
      0.9187727712877192,
      0.9023760215652669,
      0.8863028664719428,
      0.8705449677055772,
      0.8550942884004127,
      0.839943078946801,
      0.8250838648798692,
      0.8105094336988193,
      0.7962128231384524,
      0.7821873099444401,
      0.7684263989085566,
      0.7549238123658447,
      0.7416734810356075,
      0.7286695343086412,
      0.7159062917112896,
      0.7033782547029789,
      0.6910800982616333,
      0.6790066639944847,
      0.66715295299726,
      0.6555141189939215,
      0.6440854620305801,
      0.6328624224314462,
      0.621840575078299,
      0.6110156241212921,
      0.6003833975393618,
      0.5899398138751312,
      0.5796808610667621,
      0.5696032114026388,
      0.5597042087231876,
      0.549980944614545,
      0.5404303049147992,
      0.5310490789777267,
      0.5218340275829383,
      0.5127819244751505,
      0.5038895818250441,
      0.4951538650481481,
      0.4865717010826468,
      0.478140082858267,
      0.4698560710703253,
      0.4617167941602039,
      0.45371944795525637,
      0.4458612946374632,
      0.4381396886049575,
      0.43055233007416993,
      0.42309704149796057,
      0.41577154903117164,
      0.4085735395086906,
      0.4015006955803576,
      0.3945507160059052,
      0.3877213288816518,
      0.381010298774954,
      0.3744154314732428,
      0.36793457563831583,
      0.36156568326961946,
      0.3553068782109698,
      0.3491562789251007,
      0.34311198666693166,
      0.3371721074019891,
      0.33133476470917145,
      0.3255981074511838,
      0.3199603141956466,
      0.3144195959522543,
      0.30897422540360053,
      0.3036225244885407,
      0.29836283199520114,
      0.29319350870428973,
      0.2881129411224824,
      0.2831195436511389,
      0.27821175967550027,
      0.2733880618133179,
      0.26864695197885546,
      0.2639869610888854,
      0.2594066485938144,
      0.2549046017732036,
      0.25047943524233923,
      0.2461297905587661,
      0.2418543144919307,
      0.23765150598232304,
      0.2335198584942883,
      0.22945798200857628,
      0.22546456852746777,
      0.22153837019650252,
      0.21767818496432823,
      0.21388284758007786,
      0.21015122373365278,
      0.20648247050396332,
      0.20287596085781331,
      0.19933092452754933,
      0.19584648802639962,
      0.1924216963725775,
      0.1890554723064444,
      0.1857467380012079,
      0.18249445647045118,
      0.17929762314706235,
      0.17615526046521968,
      0.1730664141774023,
      0.170030150917252,
      0.16704555643979813,
      0.1641117345410368,
      0.16122780632939276,
      0.15839290920428836,
      0.15560619643661538,
      0.15286683686118177,
      0.15017401433637312,
      0.1475269275179017,
      0.14492478946255555,
      0.14236682734229675,
      0.13985228193622073,
      0.13738040761278025,
      0.13495047205191987,
      0.13256175599267506,
      0.13021355279052751,
      0.1279051683042927,
      0.12563592062958648,
      0.12340513991388033,
      0.12121216805519251,
      0.11905635866011603,
      0.11693707644599344,
      0.11485369739732726,
      0.11280560839730841,
      0.11079220704700458,
      0.10881290148712482,
      0.10686711011374732,
      0.10495426154367057,
      0.10307379421868507,
      0.10122515639233189,
      0.09940780592004364,
      0.09762121017029035,
      0.09586484552888003,
      0.09413819753782766,
      0.0924407607027638,
      0.09077203824182117,
      0.08913154195988642,
      0.08751879202506785,
      0.0859333169076405,
      0.0843746532621077,
      0.08284234570720872,
      0.08133594668182342,
      0.07985501620413643,
      0.07839912197865588,
      0.0769678391620408,
      0.07556075012299505,
      0.07417744440339445,
      0.07281751868253442,
      0.07148057647435672,
      0.07016622808806237,
      0.06887409056874266,
      0.06760378736329556,
      0.06635494843272202,
      0.06512721012118697,
      0.0639202148952755,
      0.06273361141459435,
      0.061567054310139764,
      0.06042020404199651,
      0.05929272694373079,
      0.05818429507873131,
      0.05709458603823805,
      0.05602328286473847,
      0.05497007400541617,
      0.053934653304586376,
      0.05291671984476826,
      0.05191597765121341,
      0.05093213597207361,
      0.04996490885233487,
      0.049014015139687665,
      0.04807917859414685,
      0.0471601277206195,
      0.04625659545381737,
      0.04536831942296901,
      0.04449504163608659,
      0.04363650865861525,
      0.04279247120430981,
      0.04196268414293196,
      0.04114690661928774,
      0.04034490186700102,
      0.03955643711453986,
      0.038781283554074814,
      0.038019216258527805,
      0.03727001404383153,
      0.03653345951701092,
      0.0358093389159219,
      0.03509744224982748,
      0.03439756293863645,
      0.033709497916968444,
      0.03303304761201191,
      0.0323680158771937,
      0.0317142097741809,
      0.031071439646672767,
      0.030439519124274967,
      0.029818264897307135,
      0.029207496821632237,
      0.028607037831949518,
      0.028016713841610492,
      0.0274363537112782,
      0.026865789178049927,
      0.0263048547892497,
      0.02575338784733174,
      0.025211228543258416,
      0.02467821972607291,
      0.024154206898908234,
      0.023639038148927906,
      0.02313256416366556,
      0.022634638015827744,
      0.022145115467798394,
      0.02166385469312592,
      0.021190716111200984,
      0.02072556265205331,
      0.020268259410253828,
      0.01981867398194699,
      0.019376676048097796,
      0.01894213748766844,
      0.01851493249271949,
      0.018094937209297408,
      0.01768202986921705,
      0.017276090847285836,
      0.016877002498177376,
      0.01648464919792762,
      0.016098917227798073,
      0.015719694888616752,
      0.015346872247428228,
      0.014980341450960144,
      0.014619996124568676,
      0.014265731852382583,
      0.013917446073287041,
      0.013575037806047801,
      0.013238407857612364,
      0.012907458701432731,
      0.012582094464138762,
      0.012262220950212704,
      0.011947745367975715,
      0.011638576710118398,
      0.011334625422157818,
      0.011035803483753274,
      0.01074202425436959,
      0.01045320259150315,
      0.01016925490464207,
      0.009890098916460036,
      0.009615653708994755,
      0.00934583976888852,
      0.009080579025359794,
      0.00881979467084381,
      0.008563411069972843,
      0.008311353901646196,
      0.008063550198087372,
      0.007819928281260397,
      0.007580417526260839,
      0.007344948402013597,
      0.007113452758467909,
      0.006885863667374035,
      0.006662115038391799,
      0.006442142129915719,
      0.006225881231164894,
      0.006013269704731468,
      0.005804246027277243,
      0.005598749617756848,
      0.005396720924300116,
      0.005198101406564967,
      0.005002833522536078,
      0.0048108607633260275,
      0.004622127475952383,
      0.004436579001157568,
      0.004254161598775902,
      0.0040748224850203855,
      0.0038985097014571208,
      0.003725172229275228,
      0.0035547597953377824,
      0.003387223031113922,
      0.0032225133742111683,
      0.0030605831701347097,
      0.0029013854411147717,
      0.002744874083619106,
      0.002591003795033339,
      0.002439730029635334,
      0.0022910090017707638,
      0.0021447975840103947,
      0.002001053443024894,
      0.0018597349244969489,
      0.0017208011757640913,
      0.0015842119472534773,
      0.0014499275999100287,
      0.0013179092485797522,
      0.001188118596540858,
      0.0010605181034289914,
      0.0009350708886334714,
      0.0008117405355050703,
      0.0006904913557571347,
      0.0005712882745186237,
      0.0004540967247512287,
      0.000338882708529876,
      0.00022561280998087147,
      0.00011425432492834703,
      4.7750242156664534e-06,
      -0.00010285692179315119,
      -0.00020867259746955974,
      -0.0003127027312694368,
      -0.0004149773517278835,
      -0.0005155260391379321,
      -0.000614377952592271,
      -0.0007115617344360908,
      -0.000807105680018179,
      -0.0009010374608970334,
      -0.000993384061592383,
      -0.0010841723434061434,
      -0.0011734285457260536,
      -0.0012611785735587428,
      -0.0013474478954296364,
      -0.0014322614529284918,
      -0.0015156437264022805,
      -0.0015976190159106751,
      -0.0016782110720208224,
      -0.0017574432018213693,
      -0.0018353383540598218,
      -0.001911918967577583,
      -0.0019872072820959993,
      -0.0020612251582207745,
      -0.002133993972337861,
      -0.0022055348979997803,
      -0.002275868620055406,
      -0.002345015453458738,
      -0.0024129953918769274,
      -0.0024798281545905963,
      -0.0025455331488884224,
      -0.0026101294065599637,
      -0.002673635626631573,
      -0.0027360702044527427,
      -0.002797451163832064,
      -0.00285779632317494,
      -0.0029171232002209247,
      -0.002975448883420837,
      -0.00303279034727996,
      -0.0030891642007790346,
      -0.003144586835511083,
      -0.0031990741971249714,
      -0.003252642147188968,
      -0.0033053060990539548,
      -0.003357081403000643,
      -0.003407983050069338,
      -0.003458025724684511,
      -0.003507223868570811,
      -0.0035555917820318628,
      -0.003603143501998165,
      -0.0036498927362220964,
      -0.003695853095310677,
      -0.003741037866137025,
      -0.0037854601976726175,
      -0.00382913298717313,
      -0.003872068829168829,
      -0.003914280153830896,
      -0.003955779180375941,
      -0.003996577926914813,
      -0.004036688143022574,
      -0.004076121476847665,
      -0.004114889431839783,
      -0.004153003182723455,
      -0.004190473746766819,
      -0.004227312026938607,
      -0.004263528663890087,
      -0.004299134185935234,
      -0.004334138859380939,
      -0.004368552830844333,
      -0.004402386058755143,
      -0.004435648378028969,
      -0.004468349404989794,
      -0.004500498619786364,
      -0.004532105333552294,
      -0.004563178756800656,
      -0.004593727787431551,
      -0.0046237612429184125,
      -0.004653287939405511,
      -0.00468231638289577,
      -0.0047108549170140485,
      -0.004738911921382329,
      -0.004766495468972071,
      -0.004793613606085447,
      -0.004820274033886786,
      -0.004846484533100465,
      -0.004872252733885744,
      -0.0048975860183856496,
      -0.00492249188052338,
      -0.004946977465680429,
      -0.004971049840535412,
      -0.0049947160778943565,
      -0.005017982966425014,
      -0.0050408573300787084,
      -0.005063345736708254,
      -0.005085454600132501,
      -0.00510719030087544
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334238911642819,
      10.091884571666665,
      9.842530937262783,
      9.589057671927314,
      9.334108505854314,
      9.079970347956563,
      8.828547462189228,
      8.581344659990625,
      8.339465765869557,
      8.103639180228704,
      7.874257623360382,
      7.651428247245074,
      7.435028338570077,
      7.22476200488237,
      7.020214088337672,
      6.820898748704062,
      6.626301296044848,
      6.435912923583068,
      6.249258867537216,
      6.065919089417084,
      5.885540871844862,
      5.707834269091801,
      5.532572221979709,
      5.35961175929577,
      5.18887790221965,
      5.020371269302117,
      4.8542045450957,
      4.690599446814168,
      4.529836269392689,
      4.372224535959486,
      4.2181051226667545,
      4.0678557391581505,
      3.9218557864956827,
      3.78046763081066,
      3.644025738702975,
      3.512825645521883,
      3.3871140538056626,
      3.267083227522205,
      3.1528679781185587,
      3.044531204586255,
      2.9420579049726214,
      2.8453629676382213,
      2.754275063214202,
      2.6685474836407774,
      2.5879157960362336,
      2.512112955956028,
      2.4408676850335485,
      2.3739122769179826,
      2.3109758840653805,
      2.251762985524486,
      2.1958997546890666,
      2.14302498189506,
      2.092806617055258,
      2.0449291275850445,
      1.999117547904754,
      1.9551414961556386,
      1.9128159905696063,
      1.8719826410468574,
      1.8325105886345523,
      1.7942846267467991,
      1.7572052571835863,
      1.7211930395127883,
      1.686182683021535,
      1.6521201742644693,
      1.6189639938694014,
      1.586678054708415,
      1.5552282830222648,
      1.5245829400072624,
      1.4947124394835012,
      1.4655884787819649,
      1.4371839746067219,
      1.4094730572754135,
      1.3824318106265978,
      1.356036330932006,
      1.330262029417344,
      1.3050861880779199,
      1.2804877616535406,
      1.256447069009696,
      1.2329455804548468,
      1.2099657654857165,
      1.1874909809565652,
      1.1655053855216497,
      1.1439940675768654,
      1.1229438411518196,
      1.102342385680953,
      1.082178015687747,
      1.0624390880387518,
      1.0431140241805175,
      1.0241914523920816,
      1.0056602903163743,
      0.987509789552679,
      0.9697295569642563,
      0.9523095612546388,
      0.9352401304292193,
      0.918511943641524,
      0.902116020541013,
      0.8860437084199978,
      0.8702866692168878,
      0.8548368659253958,
      0.8396865488577928,
      0.8248282432136604,
      0.8102547362409054,
      0.795959065823908,
      0.7819345083048107,
      0.7681745683700096,
      0.7546729683310955,
      0.741423638546382,
      0.7284207080258962,
      0.7156584959854877,
      0.7031315034027156,
      0.6908344052517467,
      0.6787620430433573,
      0.6669094175215101,
      0.6552716821227256,
      0.6438441365321121,
      0.6326222207051093,
      0.6216015093400933,
      0.6107777061731625,
      0.6001466387062744,
      0.5897042247794481,
      0.5794464524359955,
      0.5693700700727071,
      0.5594724229089438,
      0.5497505711847698,
      0.5402013805313957,
      0.530821627652429,
      0.5216080652349463,
      0.5125574619030394,
      0.5036666264087345,
      0.49493242189790027,
      0.48635177402142576,
      0.4779216746555606,
      0.4696391835387189,
      0.4615014287515084,
      0.453505605764138,
      0.4456489763221036,
      0.4379289055920694,
      0.4303431083060183,
      0.42288939638401174,
      0.41556548929607223,
      0.4083690696348094,
      0.40129781690752675,
      0.3943494281973613,
      0.38752163043816307,
      0.3808121873883644,
      0.37421890416891146,
      0.3677396289369361,
      0.3613723221212315,
      0.355115107450124,
      0.3489660995726564,
      0.34292339736440486,
      0.33698510510908686,
      0.33114934529039153,
      0.3254142659115049,
      0.3197780449613315,
      0.31423889328611787,
      0.3087950850259854,
      0.3034449419821523,
      0.298186801907056,
      0.29301902484987696,
      0.28793999699919337,
      0.28294813254278944,
      0.27804187457576013,
      0.27321969552422115,
      0.26848009719379134,
      0.2638216102569292,
      0.2592427940486314,
      0.2547422356429513,
      0.25031854956126953,
      0.2459703771217539,
      0.24169636903072375,
      0.23749502912843132,
      0.23336484745443323,
      0.22930443210102358,
      0.22531247371621108,
      0.22138772347901886,
      0.2175289787038305,
      0.21373507378306228,
      0.2100048740452452,
      0.20633752780429976,
      0.20273240757961525,
      0.19918874609520237,
      0.1957056719315378,
      0.19228222971778672,
      0.18891734046391417,
      0.18560992840595567,
      0.18235895791550252,
      0.17916342522341508,
      0.17602235329043395,
      0.17293478815728844,
      0.16989979669238714,
      0.1669164647558762,
      0.16398389631003124,
      0.16110121228337715,
      0.15826755006963536,
      0.15548206305059328,
      0.15274392007809312,
      0.1500523050480413,
      0.14740641655917808,
      0.1448054676117665,
      0.14224868542245395,
      0.13973531064901276,
      0.13726459761972362,
      0.13483581419473736,
      0.1324482409481698,
      0.13010117125224768,
      0.12779391096652423,
      0.12552577832411144,
      0.12329610336468426,
      0.12110422807823863,
      0.11894950594939707,
      0.11683130174716273,
      0.11474899148998031,
      0.11270196212841924,
      0.11068961114793997,
      0.1087113467589722,
      0.10676658740251906,
      0.10485476163291345,
      0.10297530802090041,
      0.10112767486681049,
      0.09931132001624018,
      0.09752571075188718,
      0.09577032369167993,
      0.09404464434966509,
      0.09234816726731179,
      0.09068039573720316,
      0.08904084137189928,
      0.08742902445848635,
      0.085844473551213,
      0.08428672524864676,
      0.08275532426287115,
      0.08124982307830379,
      0.07976978180010821,
      0.07831476816615397,
      0.07688435733474201,
      0.07547813177519057,
      0.07409568107961814,
      0.07273660186991752,
      0.07140049779070246,
      0.07008697920623394,
      0.06879566304577416,
      0.06752617289850489,
      0.06627813884290822,
      0.06505119725587348,
      0.06384499063817786,
      0.06265916774543065,
      0.061493383249013864,
      0.06034729764476075,
      0.05922057735462336,
      0.05811289439578926,
      0.05702392640423961,
      0.05595335648843776,
      0.054900873214507075,
      0.053866170360830815,
      0.05284894706403377,
      0.051848907402885586,
      0.050865760614740706,
      0.04989922093682903,
      0.04894900736791759,
      0.04801484375003171,
      0.047096458460963476,
      0.04619358456647088,
      0.04530595983090581,
      0.04443332621459745,
      0.04357543031260061,
      0.042732022869667464,
      0.0419028589280952,
      0.04108769764487157,
      0.04028630231259932,
      0.03949844020190622,
      0.03872388252091935,
      0.03796240440886044,
      0.0372137847346684,
      0.03647780611355617,
      0.03575425491242926,
      0.03504292119970092,
      0.034343598442137926,
      0.03365608368559191,
      0.03298017734223448,
      0.032315683347047944,
      0.03166240880618085,
      0.031020164172955403,
      0.030388762953129814,
      0.029768022045360623,
      0.02915776133780046,
      0.028557803857112776,
      0.02796797550943915,
      0.027388105233551573,
      0.026818024796595844,
      0.02625756877916366,
      0.02570657465346863,
      0.025164882650619783,
      0.024632335676447327,
      0.024108779218611535,
      0.023594061454769562,
      0.023088033008369993,
      0.02259054721029068,
      0.022101459809427498,
      0.021620628929826857,
      0.021147915149827102,
      0.020683181322046856,
      0.02022629274900922,
      0.019777117011755906,
      0.019335523839426102,
      0.018901385203496435,
      0.0184745751533864,
      0.018054970041910277,
      0.017642448098139207,
      0.017236889809344923,
      0.01683817757317918,
      0.016446195816061993,
      0.016060830813775545,
      0.015681970939111944,
      0.015309506326159362,
      0.014943329063170021,
      0.014583333055736112,
      0.0142294137636577,
      0.01388146856715501,
      0.013539396695258174,
      0.013203099021606083,
      0.012872478127699366,
      0.012547438003242407,
      0.012227884395073019,
      0.011913724749109697,
      0.011604868165462053,
      0.011301225081020168,
      0.011002707408029134,
      0.010709228535885594,
      0.010420703482949068,
      0.01013704866494656,
      0.009858181891608324,
      0.009584022330524467,
      0.009314490469877106,
      0.00904950813721656,
      0.008788998542839401,
      0.008532886137311598,
      0.008281096735219606,
      0.00803355742742782,
      0.007790196371396452,
      0.007550943043674433,
      0.0073157282240027734,
      0.007084483761887744,
      0.006857142563376574,
      0.006633638767085324,
      0.006413907600017243,
      0.006197885397009802,
      0.0059855095353534525,
      0.005776718335167736,
      0.00557145138381249,
      0.005369649203085928,
      0.005171253334038821,
      0.0049762061328934275,
      0.004784451130203643,
      0.004595932764414839,
      0.00441059645665954,
      0.004228388498265676,
      0.0040492560242348,
      0.0038731471748857695,
      0.0037000108413897045,
      0.0035297969359549177,
      0.0033624560614383156,
      0.0031979398075059366,
      0.003036200458158677,
      0.0028771911107099944,
      0.002720865714145661,
      0.002567178983463026,
      0.002416086355649879,
      0.0022675440755414045,
      0.0021215089730756143,
      0.001977938841053667,
      0.0018367921230464143,
      0.0016980277885015767,
      0.0015616057058759718,
      0.001427486332562406,
      0.00129563073766362,
      0.0011660007164208872,
      0.0010385586657487757,
      0.0009132676399563856,
      0.0007900914412510955,
      0.0006689943950088709,
      0.00054994133027138,
      0.00043289779822011215,
      0.00031782984134006066,
      0.00020470410185064928,
      9.348782452758918e-05,
      -1.585115762320192e-05,
      -0.00012334463223656974,
      -0.00022902371256276912,
      -0.0003329190232567658,
      -0.0004350606106408555,
      -0.0005354781752007408,
      -0.0006342008382243017,
      -0.0007312571799055658,
      -0.0008266752880218854,
      -0.0009204828170614628,
      -0.0010127070269595954,
      -0.0011033745402987739,
      -0.0011925116694654983,
      -0.001280144297219245,
      -0.0013662977493049521,
      -0.0014509969893738766,
      -0.0015342665579392654,
      -0.0016161305860463476,
      -0.0016966127627056479,
      -0.0017757365742878304,
      -0.0018535249005541064,
      -0.0019300001807994508,
      -0.002005184699138256,
      -0.0020791000485116925,
      -0.002151767699140768,
      -0.0022232087199536097,
      -0.002293443880372607,
      -0.0023624935410080025,
      -0.002430377778574985,
      -0.002497116184540372,
      -0.0025627280885342964,
      -0.002627232493928628,
      -0.002690648146323267,
      -0.00275299341620671,
      -0.002814286371137078,
      -0.0028745447702174906,
      -0.0029337860385576704,
      -0.0029920273738640157,
      -0.0030492856485160114,
      -0.0031055774630574626,
      -0.0031609190649607467,
      -0.0032153265334458558,
      -0.0032688156390069003,
      -0.0033214018926011135,
      -0.0033731006511559486,
      -0.0034239267514411123,
      -0.0034738949374406264,
      -0.003523019721108239,
      -0.00357131535004778,
      -0.0036187958064066873,
      -0.0036654747789800096,
      -0.0037113658123817863,
      -0.0037564821884844353,
      -0.003800837112116879,
      -0.0038444434132175235,
      -0.0038873136605352874,
      -0.003929460319269852,
      -0.003970895609291938,
      -0.004011631508310314,
      -0.004051679748206757,
      -0.0040910520519369786,
      -0.0041297598676516105,
      -0.004167814369385283,
      -0.004205226411715476,
      -0.004242006960503649,
      -0.004278166677810108,
      -0.004313716148289777,
      -0.004348665545447678,
      -0.00438302501523934,
      -0.004416804461117875,
      -0.004450013761304158,
      -0.004482662476638739,
      -0.004514760091846886,
      -0.0045463159189782065,
      -0.004577339115089878,
      -0.00460783866707262,
      -0.004637823446216987,
      -0.00466730223024969,
      -0.004696283413321433,
      -0.0047247753826288996,
      -0.0047527864112360315,
      -0.00478032468425934,
      -0.004807398191089478,
      -0.004834014623073544,
      -0.00486018176635604,
      -0.0048859071698189056,
      -0.00491119826394139,
      -0.004936062523327382,
      -0.004960507203573023,
      -0.004984539286999815,
      -0.005008165720026664,
      -0.005031393434155813,
      -0.005054229150351436,
      -0.005076679437350016,
      -0.005098750705663854,
      -0.005120449340756578
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334236620179603,
      10.09187433492821,
      9.84250755252004,
      9.589016113476966,
      9.334044841329598,
      9.079881870590096,
      8.82843249034718,
      8.581202227017007,
      8.339295422076287,
      8.10344082661579,
      7.874031376417126,
      7.651174339633031,
      7.434747049543047,
      7.2244536192072815,
      7.019878882381093,
      6.8205369952562105,
      6.625913283663855,
      6.435499014964597,
      6.248819557710936,
      6.065454985454142,
      5.885052778299697,
      5.707323234922011,
      5.532039510867331,
      5.359058875619857,
      5.18830644647699,
      5.019783265676331,
      4.85360297831714,
      4.689987578562151,
      4.529217369174263,
      4.3716019388835985,
      4.217482442827577,
      4.067236651027216,
      3.921243808680884,
      3.7798660617063016,
      3.64343760002924,
      3.51225364198233,
      3.386560534523652,
      3.266550160418042,
      3.1523568962118507,
      3.0440430878451004,
      2.941593151433219,
      2.8449215090372566,
      2.7538561051620234,
      2.6681498408878657,
      2.5875381472000414,
      2.5117537485077226,
      2.440525374046374,
      2.3735853299253646,
      2.3106626641638313,
      2.2514616628719835,
      2.1956081577240694,
      2.1427411034866757,
      2.0925284528574593,
      2.0446549359745414,
      1.9988459451863347,
      1.9548714574036223,
      1.9125467560554867,
      1.871713646204537,
      1.8322413692580133,
      1.794014752702111,
      1.7569344433932337,
      1.7209211001481124,
      1.685909500008117,
      1.6518458803789249,
      1.6186890351203247,
      1.5864027231291324,
      1.5549527721316525,
      1.524307394896229,
      1.494436964598547,
      1.465313144779769,
      1.4369088305659885,
      1.4091981387410455,
      1.382157157364985,
      1.3557619924794584,
      1.3299880475896124,
      1.3048125939651969,
      1.280214579310076,
      1.2561743192259365,
      1.2326732817644848,
      1.2096939350534164,
      1.1872196355999804,
      1.1652345419530916,
      1.1437237499522819,
      1.1226740839901894,
      1.102073227471905,
      1.0819094917846666,
      1.062171226637908,
      1.0428468492428467,
      1.0239249849139938,
      1.0053945493243008,
      0.9872447932302078,
      0.9694653230485839,
      0.9520461069574949,
      0.9349774724422323,
      0.9182500985820721,
      0.9018550047717361,
      0.8857835383096359,
      0.8700273609284663,
      0.8545784353412103,
      0.8394290121000284,
      0.8245716162351858,
      0.8099990347584854,
      0.7957043051349497,
      0.7816807037011284,
      0.767921734876346,
      0.7544211209652906,
      0.7411727919821846,
      0.7281708769554294,
      0.7154096948590329,
      0.702883746436945,
      0.6905877065283035,
      0.6785164161638698,
      0.6666648757594247,
      0.6550282382336412,
      0.6436018031378479,
      0.6323810103374657,
      0.6213614339914915,
      0.6105387773454531,
      0.5999088678563428,
      0.5894676227898755,
      0.5792110295846349,
      0.5691359131041777,
      0.5592396200755417,
      0.5495191792936307,
      0.5399714364659752,
      0.5305931555488179,
      0.5213810811169584,
      0.5123319764769833,
      0.5034426470449325,
      0.4947099539588404,
      0.48613082115833467,
      0.4777022393980395,
      0.46942126787454225,
      0.4612850340112816,
      0.4532907329559658,
      0.4454356261537289,
      0.43771708967672124,
      0.4301328526810875,
      0.42268071623501174,
      0.41535839308386163,
      0.4081635615880439,
      0.40109389847821564,
      0.39414709909505136,
      0.3873208889664586,
      0.38061303123051404,
      0.37402133040307306,
      0.36754363414804797,
      0.36117791133493754,
      0.35492228565252987,
      0.34877486779635125,
      0.3427337541869138,
      0.3367970476302669,
      0.3309628691723418,
      0.3252293662628412,
      0.3195947165929112,
      0.31405713128072477,
      0.30861488529444897,
      0.30326629947790856,
      0.298009710832776,
      0.29284347901115587,
      0.28776598978553186,
      0.28277565689199097,
      0.27787092336711766,
      0.27305026142225347,
      0.2683121728068841,
      0.26365518809088856,
      0.259077866406553,
      0.2545787947393131,
      0.25015658758247294,
      0.2458098861327067,
      0.2415373445792423,
      0.23733747174226671,
      0.23320875431643096,
      0.22914979822894668,
      0.2251592927378006,
      0.22123598828600008,
      0.21737868168164612,
      0.21358620697417816,
      0.20985742911906663,
      0.2061914878198628,
      0.20258775494717152,
      0.19904546644767981,
      0.19556375283232452,
      0.1921416581285839,
      0.18877810173347376,
      0.18547201003779437,
      0.18222234872346615,
      0.17902811492458007,
      0.17588833203702764,
      0.17280204643849362,
      0.16976832510300424,
      0.1667862540958439,
      0.16385493726403702,
      0.16097349560805949,
      0.1581410666599203,
      0.1553568037387975,
      0.15261987563572893,
      0.1499294663712654,
      0.14728477442820342,
      0.1446850127928298,
      0.1421294085336114,
      0.13961720255963306,
      0.13714764923320757,
      0.13472001623118549,
      0.13233358415833918,
      0.12998764635135684,
      0.12768150872072004,
      0.12541448940057515,
      0.12318591855695976,
      0.12099513817540541,
      0.11884150170655561,
      0.11672437400823409,
      0.114643130998939,
      0.11259715953698773,
      0.11058585733444945,
      0.10860863254972626,
      0.10666490366841105,
      0.10475409925201358,
      0.10287565789194786,
      0.10102902790343027,
      0.09921366712822,
      0.09742904294737788,
      0.0956746318231363,
      0.09394991946979724,
      0.09225440041953654,
      0.09058757796841353,
      0.08894896387239441,
      0.08733807841294151,
      0.08575445014195232,
      0.08419761573201309,
      0.08266711994740017,
      0.08116251526459305,
      0.07968336181280344,
      0.07822922734147528,
      0.07679968699182647,
      0.07539432336885567,
      0.0740127261847187,
      0.07265449211221868,
      0.07131922472676079,
      0.07000653434944328,
      0.06871603808601867,
      0.06744735971583535,
      0.0662001292068721,
      0.06497398294427757,
      0.06376856362586107,
      0.06258351985908085,
      0.06141850635916827,
      0.060273183794178904,
      0.05914721851844408,
      0.0580402826929328,
      0.05695205398802319,
      0.055882215599403824,
      0.05483045617669914,
      0.05379646957791695,
      0.05277995490764559,
      0.051780616358638426,
      0.05079816326948329,
      0.049832309877315094,
      0.048882775165042996,
      0.04794928304163109,
      0.04703156208604651,
      0.04612934537559141,
      0.04524237058542863,
      0.044370379902440776,
      0.04351311981917096,
      0.0426703412431779,
      0.041841799209551465,
      0.041027252959058694,
      0.04022646584796296,
      0.03943920523509148,
      0.038665242339987256,
      0.03790435223011286,
      0.03715631393075567,
      0.036420910200721156,
      0.035697927353514944,
      0.03498715549345589,
      0.034288388212557114,
      0.03360142260619892,
      0.03292605918162519,
      0.032262101862020075,
      0.031609357876499086,
      0.03096763767587153,
      0.03033675496214661,
      0.029716526705519327,
      0.029106772728434895,
      0.028507316006816975,
      0.02791798261481459,
      0.027338601420125,
      0.026769004363361378,
      0.026209025997981264,
      0.02565850395052862,
      0.025117278431979768,
      0.024585192325316575,
      0.024062091277046234,
      0.023547823583304373,
      0.023042240022368557,
      0.022545193665362638,
      0.022056540376243935,
      0.02157613838748709,
      0.021103848394217105,
      0.020639533339487395,
      0.020183058577594067,
      0.01973429159482197,
      0.019293102132997654,
      0.018859362277368917,
      0.018432946267283604,
      0.01801373037894172,
      0.017601593089463952,
      0.017196414747119068,
      0.01679807787242421,
      0.016406466773878185,
      0.016021467928154495,
      0.01564296975134157,
      0.015270862409701127,
      0.014905037904470463,
      0.014545390189485701,
      0.014191814933178948,
      0.013844209618804991,
      0.013502473485811649,
      0.013166507338555242,
      0.01283621373609083,
      0.012511496953712748,
      0.012192262804669203,
      0.011878418652550148,
      0.011569873569747901,
      0.01126653798703384,
      0.010968323902094602,
      0.010675144897095118,
      0.010386915945849132,
      0.01010355338572927,
      0.009824975168431711,
      0.009551100474290152,
      0.009281849821730118,
      0.00901714516245233,
      0.008756909759556702,
      0.008501068153868663,
      0.008249546179544381,
      0.00800227085752613,
      0.007759170497208053,
      0.007520174593332056,
      0.007285213771896419,
      0.007054219969624788,
      0.006827126192434578,
      0.0066038665640610755,
      0.00638437643661458,
      0.0061685921940978945,
      0.005956451199976877,
      0.00574789188780551,
      0.0055428538196673725,
      0.0053412775379754,
      0.005143104592731906,
      0.004948277483695594,
      0.004756739797460031,
      0.004568435941366287,
      0.004383311307062943,
      0.004201312278842498,
      0.0040223860041459615,
      0.003846480694869343,
      0.003673545258754959,
      0.0035035296015197134,
      0.003336384404554918,
      0.0031720611796227493,
      0.0030105122756511767,
      0.0028516909779302095,
      0.0026955511848174496,
      0.002542047525864677,
      0.0023911354696681364,
      0.0022427713720310845,
      0.002096912151841949,
      0.001953515516269249,
      0.0018125399093398644,
      0.0016739444633041096,
      0.0015376890290218043,
      0.0014037340119835355,
      0.0012720407322739235,
      0.001142570941762863,
      0.001015286992023781,
      0.0008901519283668262,
      0.0007671295355860142,
      0.0006461842974840926,
      0.0005272810602850338,
      0.00041038529554316295,
      0.000295463078764975,
      0.00018248117915194004,
      7.140685902086293e-05,
      -3.779220372571065e-05,
      -0.00014514759091586153,
      -0.00025069041442147134,
      -0.00035445128550131794,
      -0.0004564603396311087,
      -0.0005567472468212514,
      -0.000655340812635123,
      -0.0007522696767108775,
      -0.000847562049478931,
      -0.0009412455944258949,
      -0.0010333474282615608,
      -0.0011238942401152897,
      -0.0012129123900243997,
      -0.001300427668999686,
      -0.0013864654128107868,
      -0.0014710505506331216,
      -0.0015542076838944447,
      -0.0016359607883987893,
      -0.0017163335567032417,
      -0.001795349376425066,
      -0.0018730310595009704,
      -0.0019494011736130052,
      -0.0020244819207007217,
      -0.002098295065216806,
      -0.0021708619940633204,
      -0.0022422037751604266,
      -0.0023123410620484244,
      -0.0023812941048900927,
      -0.0024490829002154334,
      -0.002515727231022009,
      -0.0025812464263384916,
      -0.002645659469061338,
      -0.0027089849560341995,
      -0.0027712412917663093,
      -0.002832446474472101,
      -0.0028926183194995588,
      -0.002951774293907274,
      -0.0030099315084850366,
      -0.003067106836181514,
      -0.00312331677437619,
      -0.0031785776880682085,
      -0.0032329056386710712,
      -0.0032863163516689766,
      -0.003338825284669266,
      -0.0033904476944699212,
      -0.0034411985443994725,
      -0.003491092537440895,
      -0.0035401442122738216,
      -0.0035883677839656223,
      -0.0036357772125256075,
      -0.0036823862005115372,
      -0.003728208227676866,
      -0.0037732565148905104,
      -0.0038175442732715464,
      -0.00386108429152033,
      -0.003903889151790379,
      -0.003945971399801377,
      -0.003987343097775497,
      -0.00402801617737768,
      -0.004068002620071917,
      -0.004107313969633319,
      -0.004145961613140061,
      -0.004183956691932317,
      -0.004221310259809695,
      -0.0042580332120343,
      -0.0042941361817808886,
      -0.004329629696356094,
      -0.004364523957659369,
      -0.004398829060547621,
      -0.004432554936700237,
      -0.004465711432121547,
      -0.004498308053081962,
      -0.004530354308690235,
      -0.004561859500177125,
      -0.004592832776587455,
      -0.004623283107079384,
      -0.004653219309578037,
      -0.004682650053724418,
      -0.00471158391418385,
      -0.004740029244871829,
      -0.004767994383860773,
      -0.0047954874124233856,
      -0.004822516333183981,
      -0.004849088783255162,
      -0.004875212528797157,
      -0.00490089526001922,
      -0.004926144437059972,
      -0.004950967338125903,
      -0.0049753711200098945,
      -0.004999362839927917,
      -0.00502294946307146,
      -0.005046137891427828,
      -0.0050689348126222375,
      -0.005091346833881485,
      -0.00511338045079884,
      -0.0051350420474436265
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334234323528399,
      10.091864072064629,
      9.842484107780148,
      9.588974448306784,
      9.333981012313725,
      9.079793163618627,
      8.828317217636732,
      8.581059417049692,
      8.339124622386619,
      8.103241936939389,
      7.873804514362116,
      7.650919737087526,
      7.434464984803918,
      7.224144376532349,
      7.019542736287459,
      6.82017421795114,
      6.625524166001059,
      6.435083921777368,
      6.248378984536285,
      6.064989537351191,
      5.884563259705913,
      5.70681069378559,
      5.531505209488386,
      5.358504319122464,
      5.187733238075179,
      5.019193433051097,
      4.852999513674421,
      4.689373713936313,
      4.528596385997805,
      4.370977182864395,
      4.2168575394437715,
      4.066615286941129,
      3.9206295143529735,
      3.779262146169968,
      3.6428470944532014,
      3.511679259852828,
      3.386004633506355,
      3.2660147170675153,
      3.1518434450942703,
      3.043552610196763,
      2.941126051154994,
      2.844477722239251,
      2.753434840062434,
      2.6677499148101447,
      2.587158242379146,
      2.5113923146356822,
      2.4401808670307235,
      2.373256216339184,
      2.3103473063014146,
      2.251158231017144,
      2.1953144874826216,
      2.1424551912068788,
      2.0922482847551223,
      2.044378761155865,
      1.998572380929077,
      1.9545994805681561,
      1.912275608072789,
      1.871442763636942,
      1.8319702880176523,
      1.7937430416231799,
      1.7566618158661522,
      1.720647368732983,
      1.6856345459193613,
      1.6515698381199844,
      1.6184123493327287,
      1.5861256849579006,
      1.554675574393196,
      1.524030182125258,
      1.4941598403845435,
      1.4650361794965276,
      1.4366320726775097,
      1.4089216226005203,
      1.3818809228606168,
      1.3554860888621192,
      1.3297125161939802,
      1.3045374652122599,
      1.2799398771160664,
      1.2559000632553579,
      1.2323994902747875,
      1.2094206247199206,
      1.1869468218317152,
      1.1649622405120823,
      1.1434519850659355,
      1.1224028908695038,
      1.1018026451112155,
      1.08163955525025,
      1.0619019635097826,
      1.042578282743451,
      1.0236571355889472,
      1.0051274362441547,
      0.9869784340021053,
      0.9691997344697835,
      0.9517813055486417,
      0.9347134746579954,
      0.9179869205984272,
      0.9015926628158983,
      0.8855220487205143,
      0.8697667397943664,
      0.854318698733391,
      0.8391701756291002,
      0.8243136956103047,
      0.8097420456709481,
      0.795448263128773,
      0.7814256241562529,
      0.7676676331064706,
      0.7541680117174958,
      0.7409206899911372,
      0.7279197967738404,
      0.7151596504973603,
      0.7026347519064833,
      0.6903397753807008,
      0.6782695616041262,
      0.6664191108742605,
      0.6547835760320095,
      0.6433582562501114,
      0.6321385910092927,
      0.6211201539403071,
      0.6102986483188537,
      0.5996699011381418,
      0.5892298290787462,
      0.5789744336879213,
      0.5689006081993713,
      0.5590056862550279,
      0.5492866681914226,
      0.5397403815163178,
      0.5303635788725827,
      0.5211529973109295,
      0.5121053954049295,
      0.5032175755630933,
      0.49448639675914813,
      0.4859087817505017,
      0.4774817202923466,
      0.4692022708820492,
      0.4610675605356317,
      0.45307478387080796,
      0.4452212018759994,
      0.43750420165151155,
      0.4299215269262109,
      0.42247096793755823,
      0.4151502308043706,
      0.4079569895249646,
      0.40088891802535137,
      0.39394370985069327,
      0.38711908927323607,
      0.3804128185541113,
      0.37382270157669073,
      0.3673465857628031,
      0.36098244854741635,
      0.35472841336173433,
      0.34858258690806615,
      0.3425430631370538,
      0.336607943120404,
      0.3307753471116775,
      0.32504342173763734,
      0.31941034409705593,
      0.3138743258565951,
      0.30843364298757786,
      0.3030866152341297,
      0.29783157885771877,
      0.2926668928698163,
      0.28759094281484726,
      0.2826021423308545,
      0.27769893414006236,
      0.27287979036492255,
      0.2681432124699616,
      0.2634877308074668,
      0.25891190442091216,
      0.2544143201550972,
      0.24999359232142662,
      0.24564836219655098,
      0.24137728738730777,
      0.23717888139867227,
      0.2330516278687166,
      0.22899413077155883,
      0.22500507818733473,
      0.22108321947651347,
      0.21722735081079914,
      0.21343630589305856,
      0.20970894960717804,
      0.20604441299120774,
      0.20244206733991219,
      0.19890115160380753,
      0.19542079833538764,
      0.19200005094465541,
      0.18863782718756147,
      0.18533305563212674,
      0.1820847032931364,
      0.17889176805255214,
      0.1757532737891186,
      0.1726682673286765,
      0.1696358157731136,
      0.1666550051352591,
      0.16372493953735145,
      0.1608447400107023,
      0.1580135440006729,
      0.15523050490107507,
      0.15249479154134954,
      0.14980558775326405,
      0.14716209210473544,
      0.14456351752104502,
      0.14200909111763083,
      0.139498053703376,
      0.13702965969181424,
      0.13460317666289315,
      0.13221788538288415,
      0.1298730791568873,
      0.1275680637973973,
      0.12530215752183696,
      0.12307469042346982,
      0.12088500444905065,
      0.1187324530124244,
      0.11661640105062525,
      0.11453622460099892,
      0.11249131062984001,
      0.11048105672985427,
      0.10850487111940961,
      0.10656217228793585,
      0.10465238880194017,
      0.10277495915654751,
      0.10092933172370823,
      0.09911496453574953,
      0.09733132489126192,
      0.09557788939319771,
      0.0938541436617058,
      0.09215958220483796,
      0.09049370833264345,
      0.08885603395476106,
      0.0872460794206018,
      0.08566337329948794,
      0.08410745227867622,
      0.08257786108300427,
      0.08107415226099532,
      0.07959588597888233,
      0.07814263007410677,
      0.07671395976680062,
      0.07530945758546101,
      0.07392871335044798,
      0.07257132375103598,
      0.07123689248468347,
      0.06992502991573368,
      0.06863535320700057,
      0.06736748613537036,
      0.06612105868342755,
      0.064895707341096,
      0.06369107468619663,
      0.06250680941404006,
      0.061342566490891474,
      0.06019800656735979,
      0.05907279613199117,
      0.057966607396287104,
      0.05687911797878921,
      0.055810011114720025,
      0.054758975505024385,
      0.053725705029724284,
      0.0527098988849272,
      0.0517112614054097,
      0.0507295018779463,
      0.049764334551339266,
      0.04881547855073288,
      0.04788265767334962,
      0.046965600580384737,
      0.04606404047938488,
      0.04517771511632688,
      0.044306366775321966,
      0.04344974206661594,
      0.04260759178501388,
      0.041779671143773206,
      0.04096573939844289,
      0.040165559998493576,
      0.03937890027436436,
      0.03860553146715476,
      0.0378452288369222,
      0.03709777139153341,
      0.036362942031087316,
      0.03564052713448534,
      0.03493031680206083,
      0.03423210468608196,
      0.03354568787942043,
      0.03287086704018091,
      0.03220744609738176,
      0.0315552323319108,
      0.030914036279637368,
      0.030283671691380753,
      0.029663955422771757,
      0.029054707495063486,
      0.028455750977171047,
      0.02786691195617768,
      0.02728801932825511,
      0.026718905020701057,
      0.026159403932773814,
      0.025609353563906045,
      0.02506859421152421,
      0.024536968817162125,
      0.024014322962837918,
      0.023500505004972888,
      0.022995365748191096,
      0.022498758554971857,
      0.022010539312360935,
      0.02153056621805707,
      0.021058699893068678,
      0.02059480339590609,
      0.02013874210628947,
      0.01969038360511644,
      0.01924959778570131,
      0.0188162566241933,
      0.018390234479662673,
      0.017971407633544413,
      0.017559654549373898,
      0.017154855721157283,
      0.016756893663099057,
      0.016365652964390416,
      0.01598102007247802,
      0.01560288325505461,
      0.015231132804664694,
      0.014865660888651735,
      0.014506361489137148,
      0.014153130267117443,
      0.013805864751531578,
      0.013464464102895125,
      0.013128829194984416,
      0.012798862697051014,
      0.012474468876547642,
      0.012155553656295174,
      0.011842024493663625,
      0.011533790443817561,
      0.01123076198125098,
      0.01093285119572165,
      0.010639971676409952,
      0.010352038440026683,
      0.010068967992128483,
      0.009790678228563379,
      0.009517088335853807,
      0.009248118951415803,
      0.008983691922150011,
      0.008723730595873815,
      0.008468159507608443,
      0.0082169045418067,
      0.007969892794130353,
      0.007727052622545529,
      0.007488313614219808,
      0.007253606512929451,
      0.0070228632080761725,
      0.006796016677333614,
      0.006573001003545445,
      0.006353751637646837,
      0.0061382050053620865,
      0.005926298544141423,
      0.005717970756524207,
      0.005513161165843388,
      0.005311810556307664,
      0.005113860415913514,
      0.00491925321579313,
      0.0047279325088228725,
      0.004539842854314789,
      0.004354929715139741,
      0.0041731393326185865,
      0.003994418998939543,
      0.003818716913853505,
      0.003645982102190362,
      0.0034761644812275907,
      0.0033092147146231714,
      0.0031450844327355685,
      0.0029837258771987993,
      0.002825092260060975,
      0.0026691375866404357,
      0.0025158166914638204,
      0.0023650850864785204,
      0.0022168991043699363,
      0.002071215695253552,
      0.0019279925313910632,
      0.001787188089031371,
      0.0016487615871176987,
      0.0015126727700356779,
      0.001378882245927972,
      0.001247351147161841,
      0.0011180413853088135,
      0.0009909153549169448,
      0.0008659361488609904,
      0.0007430675722039717,
      0.0006222739619397076,
      0.000503520276221544,
      0.00038677205199610964,
      0.00027199549252446417,
      0.0001591572327675117,
      4.82245710193988e-05,
      -6.083466586371843e-05,
      -0.0001680521341581675,
      -0.00027345896401726697,
      -0.00037708569084132673,
      -0.000478962336888922,
      -0.0005791185230524704,
      -0.0006775832413782159,
      -0.0007743851090038492,
      -0.0008695522132287057,
      -0.0009631121709058233,
      -0.0010550921733821575,
      -0.0011455188449051275,
      -0.0012344184300885218,
      -0.0013218166169847484,
      -0.0014077387333757397,
      -0.0014922097697118162,
      -0.0015752542419994223,
      -0.0016568962563124976,
      -0.001737159412457987,
      -0.0018160671447895163,
      -0.0018936422861634175,
      -0.0019699074248843633,
      -0.0020448846114874027,
      -0.0021185956491782754,
      -0.0021910619120433846,
      -0.002262304365381861,
      -0.0023323436866265024,
      -0.002401200212281913,
      -0.002468893814243192,
      -0.0025354442007239682,
      -0.0026008707963416917,
      -0.0026651925513035564,
      -0.0027284279646822437,
      -0.002790595354606121,
      -0.002851712770918668,
      -0.0029117980279081816,
      -0.0029708686214743236,
      -0.0030289416835289026,
      -0.003086034042684835,
      -0.003142162226904349,
      -0.0031973424583471876,
      -0.0032515908505937456,
      -0.003304923096692971,
      -0.0033573547278682135,
      -0.003408901028275356,
      -0.0034595768594634434,
      -0.0035093968143430857,
      -0.003558375369927535,
      -0.003606526848657242,
      -0.0036538651564399774,
      -0.0037004040155862827,
      -0.0037461569994800352,
      -0.003791137312374348,
      -0.003835357962129858,
      -0.003878831798396999,
      -0.003921571455113697,
      -0.0039635892983207405,
      -0.004004897576440428,
      -0.004045508226487957,
      -0.004085432952910999,
      -0.00412468336905072,
      -0.004163270915313624,
      -0.004201206796089575,
      -0.004238502004497168,
      -0.004275167340231021,
      -0.004311213528277247,
      -0.004346651000208521,
      -0.004381490024178653,
      -0.0044157407134518215,
      -0.004449412932484231,
      -0.004482516494638899,
      -0.004515061067325094,
      -0.004547056031731444,
      -0.004578510640359485,
      -0.004609434028109082,
      -0.004639835171725464,
      -0.004669722937882629,
      -0.004699105939654606,
      -0.0047279927231891426,
      -0.0047563916230497424,
      -0.004784310884055579,
      -0.00481175874452422,
      -0.004838743067802335,
      -0.004865271659440139,
      -0.004891352196030467,
      -0.004916992331868739,
      -0.00494219951232887,
      -0.004966981022590793,
      -0.004991344028753012,
      -0.005015295555128237,
      -0.005038842524411043,
      -0.005061991899550386,
      -0.0050847503420922485,
      -0.005107124352748404,
      -0.005129120481459126,
      -0.005150745124045138
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334232020875405,
      10.091853782061165,
      9.842460603357637,
      9.588932686194383,
      9.333917042391777,
      9.079704267401127,
      8.828201704435452,
      8.580916313571429,
      8.338953476223804,
      8.103042647332199,
      7.8735771969088795,
      7.650664623451522,
      7.434182353640857,
      7.223834513527859,
      7.019205918852633,
      6.819810719049536,
      6.625134274304756,
      6.434668024264147,
      6.247937571438639,
      6.064523212505616,
      5.884072827795648,
      5.706297203343284,
      5.5309699228073494,
      5.357948741109537,
      5.187158971315939,
      5.018602507022532,
      4.852394922729303,
      4.6887586895843985,
      4.5279742125772895,
      4.370351210965543,
      4.216231401141123,
      4.0659926737637635,
      3.9200139617278835,
      3.7786569686941904,
      3.642255327915882,
      3.511103622424673,
      3.3854474870927778,
      3.2654780410150543,
      3.1513287415703943,
      3.0430608317396377,
      2.940657613259049,
      2.8440325728990956,
      2.753012199090495,
      2.667348609293167,
      2.5867769606559223,
      2.511029511505077,
      2.439835003606642,
      2.3729257635690497,
      2.3100306289318904,
      2.2508534998367686,
      2.1950195374439057,
      2.1421679911903,
      2.091966799924807,
      2.0441012547971593,
      1.9982974811694565,
      1.9543261710810325,
      1.9120031352826408,
      1.8711705667695078,
      1.8316979056095564,
      1.7934700447935854,
      1.7563879195498524,
      1.7203723859703282,
      1.6853583579596183,
      1.6512927043279155,
      1.6181346683220206,
      1.585847719277738,
      1.5543974977451946,
      1.523752125666308,
      1.4938818988556084,
      1.4647584169266088,
      1.4363545340014523,
      1.4086443401918805,
      1.3816039343005,
      1.3552094423985561,
      1.3294362525009444,
      1.304261614345368,
      1.2796644630271348,
      1.2556251054901686,
      1.2321250057020319,
      1.209146629648079,
      1.186673332530745,
      1.164689272802495,
      1.1431795621294452,
      1.1221310471926702,
      1.101531419745558,
      1.0813689828312962,
      1.061632071667513,
      1.0423090948264102,
      1.0233886722458543,
      1.0048597162210058,
      0.9867114748678815,
      0.9689335532210557,
      0.9515159189414782,
      0.9344488990651814,
      0.917723172256305,
      0.9013297578508923,
      0.8852600030076059,
      0.8695055692572372,
      0.8540584190182436,
      0.8389108023746401,
      0.8240552441940857,
      0.8094845313987388,
      0.7951917013589633,
      0.7811700302847162,
      0.7674130221563465,
      0.7539143986784961,
      0.7406680893327411,
      0.7276682226568341,
      0.7149091174314763,
      0.7023852735398697,
      0.6900913652863144,
      0.6780222332149038,
      0.6661728773321568,
      0.6545384501521939,
      0.6431142504242936,
      0.6318957171739606,
      0.6208784242218214,
      0.6100580742189149,
      0.5994304938548005,
      0.5889915990024595,
      0.5787374313161842,
      0.5686649371333128,
      0.5587714127439387,
      0.5490538348660071,
      0.5395090163985781,
      0.5301337003110124,
      0.5209246176307932,
      0.5118785230051943,
      0.5029922164333663,
      0.49426255529480156,
      0.4856864609964848,
      0.47726092245503277,
      0.46898299760331447,
      0.46084981287890747,
      0.45285856262991575,
      0.4450065073939811,
      0.4372910452799751,
      0.42970993469615726,
      0.4222609551569746,
      0.4149418058808839,
      0.40775015661171776,
      0.40068367850194303,
      0.39374006325570293,
      0.38691703407337624,
      0.3802123523452087,
      0.37362382140500844,
      0.36714928798227564,
      0.3607867379315079,
      0.3545342946349407,
      0.34839006120055394,
      0.34235212914030133,
      0.33641859779801503,
      0.3305875862354397,
      0.32485724021283163,
      0.3192257363322111,
      0.3136912869166764,
      0.3082521689341123,
      0.30290670094649486,
      0.297653218532151,
      0.29249008016992284,
      0.2874156709285449,
      0.28242840422686705,
      0.2775267226175872,
      0.27270909810110083,
      0.2679740319243516,
      0.2633200543532491,
      0.258745724257119,
      0.25424962854739375,
      0.24983038143450453,
      0.24548662392416865,
      0.24121701704528542,
      0.23702007922102294,
      0.2328942909238561,
      0.22883825402712554,
      0.2248506551579471,
      0.2209302429661575,
      0.21707581320649524,
      0.21328619917549377,
      0.209560265333119,
      0.2058971343737051,
      0.20229617693069873,
      0.19875663520398798,
      0.19527764349995408,
      0.19185824386502284,
      0.18849735359923023,
      0.18519390323486506,
      0.18194686089483272,
      0.17875522522549997,
      0.17561802085335385,
      0.17253429468170495,
      0.16950311402760498,
      0.16652356521859513,
      0.16359475222515585,
      0.16071579606403869,
      0.15788583418122593,
      0.15510401999882556,
      0.15236952226200234,
      0.14968152477611776,
      0.1470392261530184,
      0.14444183942534716,
      0.1418885916185602,
      0.13937872356530692,
      0.13691148967606867,
      0.13448615758334503,
      0.13210200798334917,
      0.12975833406399992,
      0.12745444179102702,
      0.12518964927734055,
      0.12296328675615704,
      0.12077469610703895,
      0.11862323086969626,
      0.11650825588050324,
      0.11442914714783353,
      0.11238529167396748,
      0.11037608705719518,
      0.10840094139520538,
      0.10645927331167872,
      0.10455051139978125,
      0.10267409429006932,
      0.10082947034431067,
      0.09901609756005622,
      0.09723344324589062,
      0.09548098396389398,
      0.09375820540777137,
      0.09206460228014472,
      0.09039967783799283,
      0.08876294395711258,
      0.08715392102287892,
      0.08557213766305874,
      0.08401713050856624,
      0.0824884443964336,
      0.08098563192671471,
      0.07950825339999616,
      0.07805587672171287,
      0.07662807698990755,
      0.07522443690699498,
      0.0738445461814163,
      0.07248800162309785,
      0.07115440691999715,
      0.06984337263110393,
      0.06855451592075083,
      0.06728746050797481,
      0.066041836528233,
      0.06481728043138614,
      0.06361343490569929,
      0.06242994886972006,
      0.0612664771332278,
      0.06012268046258245,
      0.058998225317340024,
      0.0578927838468411,
      0.05680603380920583,
      0.05573765853361172,
      0.054687346769398945,
      0.05365479252046844,
      0.05263969503343517,
      0.05164175856607508,
      0.05066069248681716,
      0.04969621105581498,
      0.04874803357471833,
      0.04781588407176576,
      0.046899491112879416,
      0.04599858788745063,
      0.04511291230854846,
      0.04424220671444249,
      0.04338621765014551,
      0.04254469607244326,
      0.04171739719299449,
      0.04090408041088861,
      0.040104509086074575,
      0.03931845054758377,
      0.03854567628195893,
      0.03778596152077796,
      0.03703908531960149,
      0.03630483054336077,
      0.03558298377091309,
      0.0348733350547032,
      0.03417567822848765,
      0.033489810459369045,
      0.03281553225174335,
      0.03215264771251548,
      0.031500964212708794,
      0.03086029233525256,
      0.030230445905401637,
      0.029611241778899556,
      0.02900250004903767,
      0.02840404379552727,
      0.027815699264960407,
      0.027237295503394352,
      0.026668664419731133,
      0.02610964073937811,
      0.02556006201319915,
      0.025019768682038156,
      0.02448860387903676,
      0.023966413216677085,
      0.02345304506084324,
      0.022948350268134007,
      0.022452182353078793,
      0.02196439706112519,
      0.021484852656328362,
      0.02101340995197664,
      0.020549931981821448,
      0.020094284157236034,
      0.019646334179249453,
      0.01920595191482168,
      0.018773009523298318,
      0.018347381330787726,
      0.017928943688043063,
      0.01751757511575251,
      0.01711315606386706,
      0.01671556912408942,
      0.016324698906748515,
      0.015940431817596794,
      0.015562656331648116,
      0.01519126283584018,
      0.014826143504739226,
      0.014467192253247925,
      0.014114304848790763,
      0.013767378865168047,
      0.013426313561002436,
      0.013091009917309365,
      0.01276137053538726,
      0.012437299789356862,
      0.012118703629381729,
      0.011805489505355645,
      0.011497566417241126,
      0.01119484508819947,
      0.01089723752268655,
      0.010604657418331281,
      0.010317019879106583,
      0.010034241432375142,
      0.009756239892159917,
      0.0094829345457106,
      0.009214245970299179,
      0.008950096300705401,
      0.008690408834495811,
      0.008435108240241017,
      0.0081841202935722,
      0.007937372209429966,
      0.007694792356481109,
      0.0074563102686429576,
      0.007221856724903839,
      0.006991363674774305,
      0.006764764168515544,
      0.006541992457114865,
      0.006322984039411154,
      0.006107675237342774,
      0.005896003493130638,
      0.0056879073719217285,
      0.005483326492313626,
      0.0052822014739194395,
      0.0050844739141318865,
      0.004890086528135937,
      0.0046989827519881445,
      0.004511107207924019,
      0.004326405302260682,
      0.004144823424878718,
      0.003966308916715733,
      0.00379080993953059,
      0.0036182755458144394,
      0.0034486556889099045,
      0.0032819011855573115,
      0.003117963541798859,
      0.002956795182644866,
      0.0027983493351814988,
      0.002642580048601006,
      0.0024894419819798817,
      0.0023388907542998085,
      0.0021908826938288168,
      0.002045374864093727,
      0.0019023250349983927,
      0.0017616917080250474,
      0.0016234339024836458,
      0.0014875115734565205,
      0.0013538852192466599,
      0.0012225160888322724,
      0.0010933660997502724,
      0.0009663977460247345,
      0.000841574224142582,
      0.0007188592571111777,
      0.000598217187107232,
      0.0004796129373257536,
      0.0003630122497700778,
      0.0002483812644127594,
      0.00013568661522465365,
      2.4895680873578477e-05,
      -8.402368325840278e-05,
      -0.0001911031631235145,
      -0.00029637391964894804,
      -0.00039986639286107535,
      -0.0005016107206010694,
      -0.0006016362840171838,
      -0.0006999722303827193,
      -0.0007966470273560772,
      -0.0008916888168020805,
      -0.0009851251243181802,
      -0.001076983056520981,
      -0.0011672893055769483,
      -0.001256070196663405,
      -0.0013433513271215005,
      -0.0014291580995244972,
      -0.0015135154268023792,
      -0.001596447632949575,
      -0.0016779788539887956,
      -0.0017581327954698973,
      -0.0018369327046493646,
      -0.0019144016018142684,
      -0.001990561855181146,
      -0.002065435580782743,
      -0.002139044480783813,
      -0.002211410043513224,
      -0.0022825532524695215,
      -0.002352494681234912,
      -0.0024212546253348554,
      -0.0024888530864289183,
      -0.0025553096662906303,
      -0.0026206436184693363,
      -0.0026848738410297835,
      -0.002748019097237792,
      -0.002810097662821734,
      -0.0028711275314709005,
      -0.002931126447221918,
      -0.0029901117387976413,
      -0.003048100686637503,
      -0.0031051101454044184,
      -0.0031611566610391,
      -0.003216256459470654,
      -0.0032704253575796633,
      -0.0033236791752337225,
      -0.003376033428394605,
      -0.0034275033008686995,
      -0.0034781037104848747,
      -0.0035278493992374088,
      -0.003576754915242195,
      -0.003624834325813232,
      -0.003672101603869151,
      -0.003718570536403933,
      -0.003764254422163703,
      -0.0038091664995433213,
      -0.003853319877430384,
      -0.0038967274657989983,
      -0.003939401822989424,
      -0.003981355262109995,
      -0.004022600014067012,
      -0.004063147982774011,
      -0.004103010931946523,
      -0.004142200556743211,
      -0.0041807281924713495,
      -0.004218605120035654,
      -0.004255842209164717,
      -0.004292450279523224,
      -0.004328439983966543,
      -0.0043638217230817025,
      -0.004398605679811418,
      -0.004432802037403148,
      -0.004466420771530341,
      -0.004499471625626639,
      -0.004531964206313032,
      -0.004563907938742299,
      -0.004595311988745158,
      -0.004626185591722789,
      -0.004656537732535817,
      -0.004686377180851937,
      -0.004715712525405409,
      -0.004744552341509999,
      -0.004772904989228472,
      -0.004800778678104623,
      -0.004828181410256049,
      -0.004855121228186218,
      -0.004881606029854817,
      -0.004907643447187647,
      -0.004933241035021684,
      -0.00495840628170952,
      -0.004983146454057451,
      -0.00500746866394703,
      -0.0050313800236492495,
      -0.0050548874445027845,
      -0.005077997804135912,
      -0.00510071788438924,
      -0.005123054111742709,
      -0.005145012976837113,
      -0.0051666009518811186
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334229721681067,
      10.091843512593199,
      9.84243714878717,
      9.588891008538942,
      9.33385319685927,
      9.079615538057961,
      8.82808640186594,
      8.580773464793143,
      8.338782627452419,
      8.102843697881662,
      7.873350264599454,
      7.6504099409924775,
      7.433900199530703,
      7.223525172508208,
      7.01886966756034,
      6.819447831999377,
      6.624745043747744,
      6.434252842424191,
      6.247496930710105,
      6.06405771692699,
      5.8835832806217745,
      5.705784651981414,
      5.530435630394786,
      5.3573942128504575,
      5.1865858097705715,
      5.018012741328966,
      4.851791546344495,
      4.6881449319194735,
      4.52735335535794,
      4.3697265987073255,
      4.215606659774036,
      4.065371491319958,
      3.9193998688230405,
      3.778053273334984,
      3.6416650600433553,
      3.5105294934813895,
      3.3848918516054973,
      3.264942871660902,
      3.150815533885671,
      3.042570533734553,
      2.940190636189399,
      2.843588861011732,
      2.7525909690244803,
      2.6669486857004596,
      2.586397031495571,
      2.510668031877236,
      2.4394904339419727,
      2.372596588106218,
      2.3097152185969385,
      2.250550019829584,
      2.1947258354721138,
      2.141882029504149,
      2.0916865227536543,
      2.043824927565318,
      1.9980237334277913,
      1.9540539890381357,
      1.9117317685472615,
      1.87089945823166,
      1.8314265957234916,
      1.7931981057534534,
      1.756115067886398,
      1.7200984364251048,
      1.6850831930211534,
      1.6510166433808,
      1.6178580881860047,
      1.585570868772686,
      1.5541205415582677,
      1.523475189943022,
      1.4936050750881318,
      1.4644817670433834,
      1.4360781010137083,
      1.4083681559421677,
      1.3813280366160496,
      1.3549338793763857,
      1.3291610648216015,
      1.3039868315629377,
      1.2793901085366879,
      1.255351200001167,
      1.2318515672855932,
      1.208873675037187,
      1.1864008779444846,
      1.164417334141654,
      1.142908163648965,
      1.121860223358,
      1.1012612086417721,
      1.0810994194164343,
      1.0613631845698903,
      1.0420409074905588,
      1.0231212054277072,
      1.0045929891385834,
      0.9864455057221343,
      0.9686683591377653,
      0.9512515161998303,
      0.9341853040708671,
      0.9174604012772694,
      0.901067827144546,
      0.8849989284730856,
      0.8692453670898307,
      0.8537991051794116,
      0.8386523927077763,
      0.8237977545258791,
      0.8092279774228205,
      0.794936098353586,
      0.7809153932729059,
      0.7671593660789046,
      0.7536617381719244,
      0.7404164391810432,
      0.7274175972654975,
      0.7146595308732151,
      0.7021367401740123,
      0.6898438987648439,
      0.6777758469006414,
      0.6659275841711464,
      0.6542942627133961,
      0.6428711812073954,
      0.631653778501242,
      0.6206376278650065,
      0.6098184318301617,
      0.599192016828503,
      0.5887542980226909,
      0.5785013567874076,
      0.5684301927366956,
      0.5585380644204384,
      0.5488219252863665,
      0.5392785736160065,
      0.5299047427470137,
      0.5206971575723316,
      0.5116525689550374,
      0.502767774270811,
      0.4940396289115731,
      0.4854650534537943,
      0.47704103613891424,
      0.46876463421893666,
      0.4606329737415026,
      0.45264324859217325,
      0.4447927191734078,
      0.4370787943341019,
      0.4294992468170579,
      0.42205184555045666,
      0.41473428306508736,
      0.4075442247572032,
      0.4004793391416993,
      0.39353731591228014,
      0.3867158770783668,
      0.38001278306501457,
      0.3734258366625999,
      0.36695288432014433,
      0.3605919203423026,
      0.3543410680427112,
      0.34819842667388756,
      0.3421620851493311,
      0.3362301411658225,
      0.33040071271170096,
      0.3246719448362487,
      0.3190420137114749,
      0.31350913215567155,
      0.308071577857512,
      0.30272766842827337,
      0.2974757388165357,
      0.2923141470088296,
      0.28724127776588965,
      0.2822555440613608,
      0.2773553882817682,
      0.27253928223183294,
      0.26780572708364736,
      0.2631532530064868,
      0.25858041880040045,
      0.2540858111290684,
      0.2496680440283004,
      0.24532575843850968,
      0.24105761904169143,
      0.23686214901665772,
      0.232737825443717,
      0.2286832483650205,
      0.22469710326230444,
      0.22077813777372463,
      0.21692514689780495,
      0.21313696356640033,
      0.20941245212378407,
      0.20575072661809862,
      0.20215115718965415,
      0.19861298904829022,
      0.19513535854826086,
      0.19171730558467703,
      0.1883577479298236,
      0.18505561797738132,
      0.18180988514856028,
      0.1786195488295794,
      0.17548363395718894,
      0.17240118775504104,
      0.16937127766730156,
      0.16639299010141612,
      0.16346542910518927,
      0.16058771573130495,
      0.15775898747724817,
      0.15497839772969363,
      0.15224511531464688,
      0.14955832403730027,
      0.1469172223828037,
      0.14432102325737242,
      0.14176895383889385,
      0.13926025498445258,
      0.13679418091777834,
      0.13436999936884214,
      0.13198699098897657,
      0.12964444909030642,
      0.127341679556463,
      0.12507800050404966,
      0.12285274207069855,
      0.12066524625256247,
      0.11851486658079541,
      0.11640096796778779,
      0.11432292640447839,
      0.11228012880069539,
      0.11027197278430478,
      0.10829786661062744,
      0.10635722875661383,
      0.1044494878919517,
      0.10257408262223865,
      0.1007304614945319,
      0.09891808251411606,
      0.09713641295988959,
      0.09538492946621761,
      0.09366311771667538,
      0.09197047229583802,
      0.09030649659650031,
      0.08867070266865452,
      0.08706261085273524,
      0.08548174971250745,
      0.0839276560693113,
      0.08239987474086563,
      0.08089795831147394,
      0.0794214671262736,
      0.07796996912270654,
      0.07654303956460282,
      0.0751402610884061,
      0.07376122343883862,
      0.07240552350992799,
      0.0710727650585764,
      0.06976255859254996,
      0.06847452131772006,
      0.06720827705571429,
      0.06596345603267466,
      0.0647396947394569,
      0.06353663589397775,
      0.06235392842957194,
      0.061191227127839795,
      0.060048192813998584,
      0.05892449216029174,
      0.05781979741963938,
      0.05673378636395693,
      0.05566614236088545,
      0.054616554159437454,
      0.053584715848672804,
      0.052570326613369134,
      0.051573090912914815,
      0.050592718177424494,
      0.04962892272591239,
      0.04868142374439964,
      0.04774994531735913,
      0.046834216165666354,
      0.0459339695707917,
      0.04504894345011507,
      0.044178880111958606,
      0.0433235262093537,
      0.042482632732068606,
      0.04165595494521471,
      0.040843252328474675,
      0.04004428832749301,
      0.03925883031764316,
      0.03848664990779901,
      0.037727522343070266,
      0.03698122682607784,
      0.03624754615894955,
      0.03552626697234328,
      0.034817179580585084,
      0.03412007767970007,
      0.033434758471496885,
      0.03276102255961976,
      0.03209867408765659,
      0.03144752050255641,
      0.030807372401367505,
      0.030178043618548794,
      0.029559351230680927,
      0.028951115274424698,
      0.028353159061589257,
      0.02776530868560928,
      0.02718739326473337,
      0.026619244757547417,
      0.026060697967343057,
      0.025511590698101164,
      0.024971763202628044,
      0.024441058658743693,
      0.023919322759002385,
      0.023406403940575547,
      0.02290215316758756,
      0.02240642390136973,
      0.02191907199449793,
      0.021439955847006763,
      0.020968936284579767,
      0.020505876448042346,
      0.020050641804435117,
      0.01960310001468622,
      0.019163120968915492,
      0.018730576906472108,
      0.018305342214571068,
      0.01788729315884881,
      0.017476308403656268,
      0.017072268638604907,
      0.016675056403662104,
      0.01628455629042211,
      0.015900654808002557,
      0.01552324042164393,
      0.015152203509875686,
      0.014787436304079641,
      0.01442883284751599,
      0.014076288910788388,
      0.013729702104874262,
      0.013388971861458904,
      0.013053999153118868,
      0.012724686531022399,
      0.012400938481113465,
      0.01208266086465964,
      0.01176976126832256,
      0.011462148902231354,
      0.011159734364951995,
      0.010862429808130975,
      0.010570148916257252,
      0.010282806682773916,
      0.01000031971882223,
      0.009722606015428523,
      0.009449584939921178,
      0.009181177110109982,
      0.008917304674880383,
      0.008657890925845145,
      0.00840286051803439,
      0.008152139358793692,
      0.007905654590587778,
      0.007663334769565442,
      0.007425109375205035,
      0.007190909208034632,
      0.006960666264327108,
      0.00673431370463352,
      0.006511785801334604,
      0.0062930179352198926,
      0.006077946621939465,
      0.005866509268998878,
      0.005658644528314666,
      0.005454291953423909,
      0.005253392284105669,
      0.005055887219961701,
      0.004861719388904421,
      0.004670832433726741,
      0.0044831708354724316,
      0.004298680089741884,
      0.004117306696438842,
      0.0039389979371251445,
      0.0037637020178632307,
      0.0035913680122710476,
      0.0034219459478139628,
      0.0032553865588852518,
      0.0030916414110797263,
      0.002930662991520054,
      0.0027724045541754356,
      0.0026168201778912583,
      0.0024638646433180495,
      0.0023134935290109603,
      0.002165663189758511,
      0.00202033064880538,
      0.0018774537090549214,
      0.0017369908828203356,
      0.0015989014006943018,
      0.00146314519164515,
      0.0013296828018212808,
      0.0011984754750970577,
      0.0010694851408577619,
      0.0009426743346026414,
      0.0008180063244015368,
      0.0006954447567274236,
      0.0005749540289257396,
      0.000456499194115437,
      0.0003400459065067267,
      0.00022556029945132808,
      0.00011300913248063847,
      2.359654224430024e-06,
      -0.00010642015712532854,
      -0.000213361980424204,
      -0.00031849692588459516,
      -0.00042185553647854015,
      -0.0005234677360727269,
      -0.0006233630615189304,
      -0.0007215703586085855,
      -0.0008181181433822726,
      -0.0009130346824670154,
      -0.00100634750587909,
      -0.0010980836171060769,
      -0.001188269662498853,
      -0.0012769319851871975,
      -0.0013640962132035743,
      -0.0014497876017644448,
      -0.0015340310306198304,
      -0.001616850968186099,
      -0.0016982715359413426,
      -0.0017783163802249447,
      -0.001857008790774498,
      -0.0019343715375091345,
      -0.0020104271126458353,
      -0.0020851976091942302,
      -0.0021587046803948863,
      -0.0022309697709781756,
      -0.0023020138449754233,
      -0.002371857531735111,
      -0.002440521073763276,
      -0.0025080244058445504,
      -0.0025743871889333746,
      -0.0026396286645311217,
      -0.002703767832009165,
      -0.002766823300669917,
      -0.0028288133181566567,
      -0.002889755886752792,
      -0.0029496686684936995,
      -0.003008569150131977,
      -0.003066474425445673,
      -0.003123401313212337,
      -0.003179366334166857,
      -0.003234385642349106,
      -0.0032884753429790383,
      -0.00334165111659188,
      -0.0033939283826228232,
      -0.0034453224043718977,
      -0.003495848100789652,
      -0.0035455200670129515,
      -0.0035943526442301687,
      -0.0036423600460943986,
      -0.003689556261725245,
      -0.0037359549771919325,
      -0.003781569705407077,
      -0.0038264137248034983,
      -0.003870500144295042,
      -0.003913841668192372,
      -0.0039564509071609456,
      -0.003998340166784912,
      -0.004039521565908898,
      -0.004080007141420698,
      -0.004119808558354347,
      -0.004158937480305112,
      -0.0041974052586587944,
      -0.0042352231872514875,
      -0.0042724020823036255,
      -0.004308952744978683,
      -0.00434488586349296,
      -0.004380211889933429,
      -0.0044149409410599045,
      -0.004449083111879689,
      -0.004482648330588881,
      -0.004515646474031264,
      -0.004548087107319579,
      -0.004579979597875417,
      -0.0046113332538955405,
      -0.004642157119248449,
      -0.004672460168055521,
      -0.004702251136169265,
      -0.004731538695607184,
      -0.004760331450413982,
      -0.004788637741249756,
      -0.004816465754658799,
      -0.004843823472506859,
      -0.0048707188431993025,
      -0.004897159717368049,
      -0.004923153866182305,
      -0.004948708840068731,
      -0.00497383203644216,
      -0.004998530715972985,
      -0.005022812005806102,
      -0.005046683054639605,
      -0.005070150838303215,
      -0.005093222059647089,
      -0.005115903410489488,
      -0.005138201559641559,
      -0.005160122924505087,
      -0.00518167390011888
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334227424419511,
      10.091833251968538,
      9.842413714316391,
      9.588849365269219,
      9.333789402168895,
      9.079526876770386,
      8.827971188754272,
      8.580630728794075,
      8.338611917354305,
      8.102644914122232,
      7.873123524438601,
      7.650155477282888,
      7.433618292275616,
      7.223216107427468,
      7.018533722265225,
      6.81908528037925,
      6.62435617632767,
      6.4338380500276875,
      6.247056704595375,
      6.063592660239753,
      5.883094196343817,
      5.705272587725365,
      5.529901848201961,
      5.356840218161876,
      5.186013205531173,
      5.017423555457166,
      4.851188771325153,
      4.687531796863564,
      4.526733142384928,
      4.36910265365272,
      4.214982608717241,
      4.064751020818712,
      3.9187865067781855,
      3.777450326341895,
      3.6410755551099707,
      3.509956138760798,
      3.384336999262439,
      3.2644084917901406,
      3.1503031189918094,
      3.0420810274117454,
      2.9397244455999885,
      2.8431459264504855,
      2.7521705035851185,
      2.6665495109479767,
      2.586017833508607,
      2.510307263733623,
      2.439146555525749,
      2.3722681139391844,
      2.309400539593771,
      2.2502472884827185,
      2.194432907466302,
      2.1415968736981403,
      2.0914070674272542,
      2.0435494263420786,
      1.9977508087510958,
      1.9537826220529733,
      1.9114612041930314,
      1.8706291362683167,
      1.8311560557737856,
      1.7929269204035079,
      1.7558429532404656,
      1.7198252076256264,
      1.6848087328112815,
      1.6507412721116337,
      1.617582183790264,
      1.5852946807649626,
      1.5538442356601998,
      1.5231988931101825,
      1.4933288791904882,
      1.464205734764526,
      1.4358022766462957,
      1.4080925714036048,
      1.3810527294121577,
      1.3546588979001315,
      1.3288864500532893,
      1.3037126140694493,
      1.2791163123176676,
      1.2550778450954112,
      1.2315786715953971,
      1.2086012557273684,
      1.1861289515012288,
      1.1641459168717303,
      1.1426372799428013,
      1.1215899086127974,
      1.1009915019579066,
      1.0808303560872219,
      1.0610947923690464,
      1.0417732099013284,
      1.0228542229148925,
      1.004326740551571,
      0.986180008812978,
      0.9684036314164839,
      0.9509875750096438,
      0.93392216603561,
      0.9171980830036227,
      0.9008063447881313,
      0.8847382983058527,
      0.8689856049331175,
      0.8535402270925675,
      0.8383944146962736,
      0.8235406924383692,
      0.808971847037877,
      0.7946809153501501,
      0.7806611731372656,
      0.7669061240481694,
      0.7534094893432773,
      0.740165198226507,
      0.7271673788456283,
      0.7144103492255085,
      0.7018886091719828,
      0.6895968321685211,
      0.6775298581896461,
      0.6656826864422489,
      0.6540504689997719,
      0.6426285039735773,
      0.6314122299408031,
      0.6203972198327505,
      0.6095791758649812,
      0.5989539240911251,
      0.5885173791979413,
      0.5782656624126039,
      0.5681958261217326,
      0.5583050912911175,
      0.5485903884572509,
      0.5390485008795076,
      0.5296761524939158,
      0.5204700624156431,
      0.5114269774707043,
      0.5025436923360871,
      0.49381706097712497,
      0.48524400260787154,
      0.4768215046189303,
      0.46854662373545847,
      0.46041648546365344,
      0.4524282833034735,
      0.4445792773694083,
      0.4368668878850462,
      0.42928890167324346,
      0.4218430768473881,
      0.4145270991229868,
      0.4073386297259211,
      0.40027533435362767,
      0.39333490096704316,
      0.3865150502806106,
      0.3798135420567361,
      0.3732281783877345,
      0.36675680516082776,
      0.3603974253318463,
      0.354148161965401,
      0.3480071103922599,
      0.3419723570756991,
      0.3360419981374044,
      0.3302141505510368,
      0.32448695865057336,
      0.31885859802121086,
      0.31332728208613936,
      0.3078912895293951,
      0.3025489367915821,
      0.2972985578694379,
      0.2921385104180163,
      0.2870671789230189,
      0.2820829761745144,
      0.27718434412036214,
      0.2723697544537861,
      0.2676377081011413,
      0.26298673516751,
      0.2584153942624847,
      0.25392227195979256,
      0.24950598239275382,
      0.245165166441714,
      0.2408984911635008,
      0.2367044853846165,
      0.23258162390080628,
      0.22852850427866608,
      0.22454381045308267,
      0.22062628922065727,
      0.21677473508312334,
      0.21298798060083485,
      0.20926488981878366,
      0.2056045682356896,
      0.20200638534133525,
      0.19846958932566297,
      0.19499331858652164,
      0.19157661063449813,
      0.18821838393783197,
      0.18491757278432785,
      0.18167314772312085,
      0.1784841090018827,
      0.17534948190648073,
      0.17226831394962278,
      0.16923967288762165,
      0.16626264505031338,
      0.16333633453864668,
      0.16045986252517258,
      0.1576323665667131,
      0.15485299989585638,
      0.15212093130682625,
      0.1494353447075326,
      0.14679543854681623,
      0.14420042569454608,
      0.14164953333672384,
      0.13914200218477957,
      0.13667708651250127,
      0.1342540539831259,
      0.131872185401369,
      0.12953077400771354,
      0.12722912567451578,
      0.12496655862469458,
      0.12274240293336285,
      0.12055600066385996,
      0.11840670518796001,
      0.11629388138727655,
      0.11421690541407771,
      0.11217516417558651,
      0.11016805540630513,
      0.10819498729791777,
      0.10625537839819241,
      0.10434865739136923,
      0.10247426282839382,
      0.10063164321481191,
      0.09882025659074395,
      0.09703957037798949,
      0.09528906127154149,
      0.09356821499699065,
      0.09187652612394742,
      0.0902134980369854,
      0.08857864270146854,
      0.08697148059227738,
      0.08539154045204111,
      0.08383835908430722,
      0.08231148128623043,
      0.08081045961506925,
      0.07933485446849371,
      0.07788423387470302,
      0.07645817321377024,
      0.07505625505138502,
      0.0736780692525809,
      0.07232321272417228,
      0.07099128930324795,
      0.06968190952447281,
      0.06839469058647694,
      0.06712925644419107,
      0.06588523728653374,
      0.06466226959026632,
      0.06345999623815723,
      0.06227806624401299,
      0.06111613450011918,
      0.05997386179799833,
      0.058850914838655385,
      0.05774696597228007,
      0.05666169298443679,
      0.055594779131470935,
      0.054545913269231555,
      0.05351478953832679,
      0.05250110723777429,
      0.05150457100446876,
      0.05052489030602015,
      0.04956177941035586,
      0.04861495764962629,
      0.04768414914351331,
      0.046769082620210144,
      0.04586949148385188,
      0.04498511363537764,
      0.044115691437922475,
      0.043260971692681165,
      0.042420705396271616,
      0.04159464787319949,
      0.0407825586423671,
      0.03998420126392068,
      0.03919934317622976,
      0.03842775592314187,
      0.03766921493271255,
      0.036923499380180476,
      0.03619039223762423,
      0.03546968007691156,
      0.03476115316698402,
      0.03406460531098376,
      0.03337983369108584,
      0.03270663922894398,
      0.03204482594864316,
      0.03139420143999425,
      0.030754576342562782,
      0.03012576457340854,
      0.029507583172943084,
      0.02889985234731499,
      0.028302395300581915,
      0.027715038211620923,
      0.027137610280163097,
      0.026569943612752743,
      0.026011873157838778,
      0.025463236556721634,
      0.02492387422766181,
      0.024393629256741323,
      0.023872347496729365,
      0.023359877466420258,
      0.02285607014621696,
      0.022360779031031962,
      0.02187386010082307,
      0.021395171783288536,
      0.020924574851465205,
      0.020461932443003487,
      0.020007110065187676,
      0.019559975494417327,
      0.019120398824650678,
      0.018688252251106773,
      0.018263410161409293,
      0.0178457490696463,
      0.0174351475843309,
      0.017031486263567,
      0.01663464780862223,
      0.016244516954176603,
      0.015860980290164493,
      0.015483926294378296,
      0.015113245347028268,
      0.014748829657442383,
      0.014390573375717853,
      0.014038372400494964,
      0.013692124365247785,
      0.013351728599560148,
      0.013017086167011808,
      0.012688099801450359,
      0.012364673984035705,
      0.012046714644689979,
      0.011734129359377633,
      0.011426827293076912,
      0.01112471916154441,
      0.010827717199299414,
      0.010535735037882675,
      0.010248687844296377,
      0.00996649219168591,
      0.009689066056601492,
      0.009416328859878493,
      0.009148201322156017,
      0.008884605502687597,
      0.008625464907261916,
      0.00837070408617437,
      0.008120249101704153,
      0.007874027205839584,
      0.00763196686061562,
      0.007393997641624391,
      0.007160050368922797,
      0.006930057153506576,
      0.00670395113102017,
      0.006481666460241046,
      0.006263138656154202,
      0.006048304216095652,
      0.005837100771798439,
      0.005629466908023723,
      0.0054253422894977536,
      0.005224667698357762,
      0.005027384782639892,
      0.004833436215450863,
      0.004642765590688651,
      0.0044553175005544975,
      0.004271037483689427,
      0.004089871983115376,
      0.003911768364915845,
      0.0037366749089258774,
      0.003564540809226005,
      0.003395315930324599,
      0.003228951112798149,
      0.003065397999427802,
      0.002904609138083026,
      0.0027465377634235777,
      0.002591138020748563,
      0.0024383646649920056,
      0.002288173391992024,
      0.002140520524576254,
      0.0019953631783993907,
      0.0018526590999052163,
      0.0017123668184838123,
      0.0015744456428256153,
      0.0014388555709760591,
      0.0013055571206011113,
      0.001174511543141519,
      0.0010456807096690267,
      0.0009190271902457366,
      0.0007945142851883256,
      0.0006721057409132604,
      0.0005517661040222061,
      0.00043346035918808486,
      0.00031715410991180345,
      0.00020281352612211228,
      9.040543414095145e-05,
      -2.0102877345612737e-05,
      -0.00012874360743041227,
      -0.00023554811784610768,
      -0.00034054745694207025,
      -0.00044377215050951327,
      -0.0005452522582506562,
      -0.0006450172627884335,
      -0.0007430961215611039,
      -0.0008395173489191011,
      -0.0009343090135441346,
      -0.0010274986451054675,
      -0.0011191132149699465,
      -0.0012091794139670992,
      -0.0012977234200297239,
      -0.001384770880116735,
      -0.0014703471443795267,
      -0.0015544770922665929,
      -0.0016371850901185584,
      -0.0017184952270758893,
      -0.0017984311611725483,
      -0.0018770161744091846,
      -0.0019542729649036205,
      -0.002030224041512817,
      -0.002104891462185939,
      -0.0021782969271185453,
      -0.002250461742929805,
      -0.0023214069381990486,
      -0.0023911531169696905,
      -0.0024597204252128197,
      -0.0025271288525511876,
      -0.002593397992560964,
      -0.002658547132565058,
      -0.0027225952338019816,
      -0.0027855608597083014,
      -0.0028474623633415546,
      -0.002908317621960081,
      -0.002968144311174143,
      -0.0030269598596150992,
      -0.0030847813073865147,
      -0.0031416254749689083,
      -0.0031975089336308865,
      -0.0032524479306651525,
      -0.003306458433981007,
      -0.0033595560868776137,
      -0.0034117563328258287,
      -0.003463074240824581,
      -0.003513524831805394,
      -0.003563122793939076,
      -0.003611882578676109,
      -0.003659818291972436,
      -0.003706943775018742,
      -0.0037532728497248116,
      -0.003798818901913587,
      -0.0038435951884530093,
      -0.0038876147049021217,
      -0.003930890230186124,
      -0.0039734343448295404,
      -0.0040152593849073,
      -0.004056377573410979,
      -0.004096800807083002,
      -0.004136540868808025,
      -0.004175609321193696,
      -0.004214017570927265,
      -0.004251776684533712,
      -0.00428889765453521,
      -0.004325391194509967,
      -0.004361267895608381,
      -0.0043965381536838375,
      -0.004431212369130931,
      -0.0044653005234455015,
      -0.004498812612651112,
      -0.004531758317709773,
      -0.004564147137848931,
      -0.004595988542393918,
      -0.004627291804398226,
      -0.004658066062557842,
      -0.004688320153346061,
      -0.0047180627858442814,
      -0.004747302703065766,
      -0.004776048461865992,
      -0.004804308460181616,
      -0.004832090810995251,
      -0.004859403564941411,
      -0.004886254659214411,
      -0.004912651942528774,
      -0.004938603072070344,
      -0.004964115639272136,
      -0.004989197034028707,
      -0.005013854557277584,
      -0.00503809534035284,
      -0.005061926341195054,
      -0.0050853545691514,
      -0.0051083868452714,
      -0.005131029810249612,
      -0.005153290134802701,
      -0.005175174278827295,
      -0.005196688599259136
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334225119935462,
      10.091822959832824,
      9.842390210924334,
      9.588807765665287,
      9.333725726737534,
      9.079438381074514,
      8.82785615724255,
      8.580488168125779,
      8.33844135693557,
      8.102446240230844,
      7.872896841611242,
      7.649901008138161,
      7.433336308925564,
      7.222906890319819,
      7.0181975445104285,
      6.81872241239676,
      6.623966906904114,
      6.433422769881459,
      6.246615905134037,
      6.063126946365257,
      5.882604373598993,
      5.704759703974379,
      5.529367165961253,
      5.356285243974895,
      5.185439543348722,
      5.016833235105831,
      4.850584789941051,
      4.686917386356089,
      4.526111589732003,
      4.368477311722284,
      4.214357111041031,
      4.0641290608502265,
      3.9181716202957753,
      3.7768458263529525,
      3.6404844766023894,
      3.50938119707135,
      3.383780551601536,
      3.2638725133911244,
      3.149789107087655,
      3.041589930136382,
      2.939256673076438,
      2.8427014201000427,
      2.751748477640781,
      2.6661487884569164,
      2.5856371014407062,
      2.5099449773613474,
      2.4388011761877952,
      2.37193816876934,
      2.3090844267541866,
      2.249943153342112,
      2.194138600022883,
      2.1413103479413085,
      2.0911262444312775,
      2.0432725635059708,
      1.9974765311673726,
      1.9535099116791086,
      1.911189308025457,
      1.870357494956489,
      1.8308842087450221,
      1.7926544399127895,
      1.7555695558224904,
      1.7195507079946004,
      1.6845330133465717,
      1.6504646540933845,
      1.6173050459567184,
      1.5850172728123268,
      1.553566723130425,
      1.5229214024257804,
      1.4930515021563733,
      1.463928534169471,
      1.4355252957428508,
      1.4078158416596047,
      1.380776288633247,
      1.3543827943139066,
      1.3286107244733405,
      1.3034372970019115,
      1.278841427864109,
      1.2548034132084491,
      1.231304709755427,
      1.2083277804989039,
      1.1858559788499234,
      1.1638734630743124,
      1.1423653689390139,
      1.1213185752366426,
      1.1007207847897498,
      1.0805602895400779,
      1.0608254040966008,
      1.0415045235212117,
      1.0225862589282078,
      1.0040595176471896,
      0.985913544947991,
      0.9681379435558145,
      0.9507226797110319,
      0.9336580798649601,
      0.916934822323006,
      0.900543925781807,
      0.8844767371430233,
      0.8687249175077844,
      0.8532804291551427,
      0.8381355222240284,
      0.8232827210764981,
      0.8087148122380309,
      0.794424832545196,
      0.7804060574711207,
      0.7666519904728321,
      0.7531563527793431,
      0.7399130733550059,
      0.7269162799888726,
      0.7141602904191673,
      0.7016396041485287,
      0.6893488943541367,
      0.6772830009438487,
      0.6654369230328063,
      0.6538058122106225,
      0.6423849664909784,
      0.6311698238893357,
      0.620155957445232,
      0.6093390687450111,
      0.598714983354892,
      0.588279615173807,
      0.5780291254268338,
      0.5679606198768856,
      0.5580712820532494,
      0.5483580188404593,
      0.5388175983460828,
      0.5294467354834335,
      0.5202421432315032,
      0.5112005643763029,
      0.5023187910967932,
      0.4935936756482916,
      0.4850221361838405,
      0.47660115941744136,
      0.46832780144244146,
      0.4601991873224755,
      0.4522125101184485,
      0.4443650294771709,
      0.4366541867947699,
      0.42907776913311424,
      0.42163352538982213,
      0.4143191357469479,
      0.40713225764621047,
      0.4000705543005304,
      0.39313171201430863,
      0.38631345053592103,
      0.37961352893780914,
      0.3730297487642816,
      0.36655995546506026,
      0.36020216036505665,
      0.3539544864677831,
      0.34781502535692466,
      0.34178186095471985,
      0.3358530877675653,
      0.3300268217526215,
      0.3243012066162219,
      0.3186744173683669,
      0.3131446677563959,
      0.3077102374716336,
      0.30236944179488506,
      0.29712061416358315,
      0.29196211170904535,
      0.286892318412067,
      0.2819096467758432,
      0.27701253874023296,
      0.2721994657574202,
      0.26746892869719097,
      0.2628194574086085,
      0.25824961053931783,
      0.2537579744461138,
      0.2493431629405956,
      0.2450038169191151,
      0.24073860348541568,
      0.23654605833527065,
      0.23242465648288743,
      0.22837299276599618,
      0.2243897494884495,
      0.22047367225721576,
      0.2166235546928246,
      0.21283822872738772,
      0.20911655814165198,
      0.205457640110334,
      0.20186084352050937,
      0.19832541974345477,
      0.1948505088376915,
      0.19143514611884796,
      0.1880782506487384,
      0.1847787586093071,
      0.18153564174112208,
      0.17834790088623909,
      0.17521456182577577,
      0.17213467229126653,
      0.16910730016630385,
      0.1661315319369472,
      0.1632064719211951,
      0.16033124120056888,
      0.15750497730094773,
      0.15472683357883163,
      0.151995978744352,
      0.14931159662241633,
      0.1466728856682613,
      0.1440790588092899,
      0.1415293430211097,
      0.13902297914048226,
      0.13655922151398064,
      0.13413733781249218,
      0.13175660873183792,
      0.12941632767425448,
      0.12711580042956627,
      0.12485434516690641,
      0.1226312919229743,
      0.12044598278198987,
      0.11829777126575504,
      0.1161860223065873,
      0.11411011189943075,
      0.11206942698633464,
      0.1100633652934043,
      0.10809133505561455,
      0.10615275487124468,
      0.1042470533928972,
      0.10237366931247933,
      0.10053205109912865,
      0.09872165683961652,
      0.09694195389478771,
      0.09519241898779582,
      0.09347253780862226,
      0.09178180511385643,
      0.09011972427152161,
      0.08848580731328043,
      0.08687957468189296,
      0.08530055516729469,
      0.08374828558204721,
      0.08222231077354486,
      0.08072218346696682,
      0.07924746418386164,
      0.07779772074941105,
      0.07637252861114703,
      0.07497147040554518,
      0.07359413611940956,
      0.07224012261037799,
      0.07090903374950155,
      0.06960048020116566,
      0.0683140791705598,
      0.06704945456915608,
      0.06580623672434421,
      0.06458406227770563,
      0.06338257414809849,
      0.062201421345761156,
      0.061040258764332514,
      0.05989874727131841,
      0.058776553476885984,
      0.057673349734214924,
      0.05658881409084134,
      0.05552262995590061,
      0.05447448621060628,
      0.05344407707479069,
      0.052431101783606195,
      0.05143526483023772,
      0.05045627574769622,
      0.04949384910409534,
      0.04854770428408598,
      0.0476175653713949,
      0.04670316122429774,
      0.045804225234747184,
      0.044920495400520864,
      0.04405171409394095,
      0.04319762819648471,
      0.042357988761057806,
      0.04153255121180906,
      0.04072107504185272,
      0.03992332382905064,
      0.039139065174627126,
      0.038368070651228166,
      0.03761011566414862,
      0.03686497951812963,
      0.036132445187539976,
      0.03541229943727672,
      0.03470433250705336,
      0.03400833828616119,
      0.03332411406920285,
      0.03265146068141931,
      0.03199018228690536,
      0.03134008641329665,
      0.030700983804534968,
      0.03007268841363024,
      0.029455017407803145,
      0.0288477911285677,
      0.028250832777950607,
      0.027663968694675495,
      0.027087027961690192,
      0.02651984273688533,
      0.025962247997799358,
      0.02541408150692915,
      0.024875183730896422,
      0.024345397897137945,
      0.02382456990222591,
      0.02331254819264882,
      0.02280918382040328,
      0.022314330388475117,
      0.021827843801927527,
      0.02134958254399117,
      0.020879407573496846,
      0.020417182251356445,
      0.019962772021862116,
      0.01951604466184376,
      0.01907687024001455,
      0.01864512107874469,
      0.018220671540347472,
      0.01780339819634406,
      0.01739317964932832,
      0.016989896744447612,
      0.016593432102395982,
      0.01620367044843904,
      0.015820498313175647,
      0.015443804313081537,
      0.015073478981146131,
      0.014709414534961485,
      0.014351505141465796,
      0.01399964673067473,
      0.01365373699512266,
      0.013313675453087126,
      0.012979363060881238,
      0.012650702677013804,
      0.012327598662224486,
      0.012009956981406104,
      0.011697685350188525,
      0.011390693133845737,
      0.011088891002900265,
      0.010792191164213592,
      0.010500507315409592,
      0.010213754636372875,
      0.009931849793787417,
      0.00965471079227816,
      0.009382256977230483,
      0.009114409233629562,
      0.008851089631115267,
      0.008592221697312852,
      0.008337730181134423,
      0.008087541005813496,
      0.00784158148712724,
      0.007599780181826929,
      0.007362066734450872,
      0.0071283719129056145,
      0.006898627839496399,
      0.006672767756363775,
      0.006450726062432262,
      0.006232438176785397,
      0.006017840622578527,
      0.005806870892157514,
      0.005599467704585003,
      0.0053955707967453794,
      0.005195120966806509,
      0.004998059797297241,
      0.00480433004925292,
      0.004613875507567835,
      0.0044266407412194815,
      0.004242571242123276,
      0.004061613433660941,
      0.0038837148610719237,
      0.003708823737604937,
      0.003536889294846786,
      0.003367861583021666,
      0.0032016914089786136,
      0.0030383303465413903,
      0.00287773092796082,
      0.00271984652115568,
      0.0025646311529038917,
      0.002412039786711,
      0.0022620280822147525,
      0.0021145524184031745,
      0.0019695698941169636,
      0.0018270384014138447,
      0.001686916498502862,
      0.0015491633612989336,
      0.0014137389924063636,
      0.0012806039938716707,
      0.0011497197436051531,
      0.001021048148046434,
      0.000894551740869089,
      0.0007701938603922569,
      0.0006479382827379685,
      0.0005277495125297698,
      0.000409592547955525,
      0.0002934329849711359,
      0.0001792371814383446,
      6.697187682830294e-05,
      -4.339546759997155e-05,
      -0.00015189694286207232,
      -0.00025856413999642035,
      -0.00036342808979447904,
      -0.00046651924451882076,
      -0.0005678675785134934,
      -0.0006675025658508806,
      -0.0007654532451871823,
      -0.0008617480665328696,
      -0.0009564149713311232,
      -0.0010494813746028703,
      -0.001140974444609168,
      -0.0012309207641806408,
      -0.0013193464794332315,
      -0.001406277307257306,
      -0.0014917385216182044,
      -0.0015757550081959082,
      -0.0016583512604612949,
      -0.0017395512086306802,
      -0.0018193784407510504,
      -0.0018978561490846787,
      -0.0019750071258092783,
      -0.0020508537632143897,
      -0.0021254182182578337,
      -0.0021987221366180617,
      -0.0022707868779775495,
      -0.002341633377284089,
      -0.002411282182115093,
      -0.0024797534950409873,
      -0.002547067272277894,
      -0.0026132429902702217,
      -0.0026782999448866636,
      -0.0027422571298828715,
      -0.002805133133401658,
      -0.0028669461918413345,
      -0.002927714242411869,
      -0.002987455025497903,
      -0.003046185924958502,
      -0.0031039239030188747,
      -0.0031606857832873043,
      -0.0032164881192452872,
      -0.003271347119567731,
      -0.00332527866719708,
      -0.003378298483352135,
      -0.0034304219730793384,
      -0.003481664285791593,
      -0.0035320402728120804,
      -0.003581564634730388,
      -0.0036302518138599644,
      -0.0036781159491749435,
      -0.0037251709379852683,
      -0.0037714304589967734,
      -0.0038169078794398725,
      -0.003861616409496796,
      -0.003905569109368391,
      -0.0039487787818646095,
      -0.003991257946087345,
      -0.004033018931297484,
      -0.0040740739252220414,
      -0.004114434900973734,
      -0.0041541135178798675,
      -0.0041931213326338,
      -0.004231469825552127,
      -0.004269170070177548,
      -0.004306232897917462,
      -0.004342669137609792,
      -0.004378489358968502,
      -0.004413703996951905,
      -0.004448323354451595,
      -0.004482357534662026,
      -0.004515816366237728,
      -0.0045487094736299215,
      -0.004581046467728098,
      -0.0046128367670099975,
      -0.00464408960925577,
      -0.0046748141450629575,
      -0.004705019352856594,
      -0.004734713927952341,
      -0.0047639064883248875,
      -0.004792605544866258,
      -0.004820819394828052,
      -0.004848556326193617,
      -0.004875824293933435,
      -0.004902631199383923,
      -0.004928984959461532,
      -0.004954893174966527,
      -0.004980363408810685,
      -0.005005403011964363,
      -0.005030019304955477,
      -0.005054219422223673,
      -0.0050780103846321005,
      -0.0051013991842947465,
      -0.005124392652900163,
      -0.00514699750779278,
      -0.005169220308240069,
      -0.005191067423986287,
      -0.005212545238372608
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33422281077205,
      10.091812640249234,
      9.842366639098847,
      9.588766290539795,
      9.333662315784277,
      9.079350244481029,
      8.827741542526361,
      8.580346048284975,
      8.338271234009165,
      8.102247976101344,
      7.872670525262071,
      7.649646850406052,
      7.433054572400585,
      7.222597849803616,
      7.017861469497857,
      6.818359570963647,
      6.623577586031881,
      6.433007358322869,
      6.2461748933322045,
      6.062660937811358,
      5.882114172391953,
      5.704246358360439,
      5.528831939599574,
      5.355729641713768,
      5.184865168840385,
      5.016242120403222,
      4.849979935101911,
      4.686302030549048,
      4.525489024464313,
      4.3678508944289804,
      4.21373048279963,
      4.063505922444469,
      3.9175555132315587,
      3.776240070935376,
      3.639892113849392,
      3.5088049477001224,
      3.383222778884617,
      3.2633351975900067,
      3.149273749556319,
      3.0410974826653345,
      2.9387875480121552,
      2.8422555615976957,
      2.7513251028401817,
      2.665746722896751,
      2.585255033688271,
      2.509581363406408,
      2.4384544784194104,
      2.371606915345553,
      2.3087670155123132,
      2.2496377294951118,
      2.193843014306544,
      2.141022514876001,
      2.090844056985153,
      2.0429942909199017,
      1.9972008179576668,
      1.9532357554680038,
      1.9109159660982673,
      1.8700844160408046,
      1.8306109378767053,
      1.792380553274251,
      1.7552947718947405,
      1.719274842660065,
      1.6842559493841356,
      1.650186713542769,
      1.6170266083305491,
      1.5847385883018772,
      1.553287956995569,
      1.5226426809050464,
      1.4927729161142864,
      1.4636501453687236,
      1.4352471476046842,
      1.407537964989588,
      1.3804987202604049,
      1.3541055820980616,
      1.328333908865995,
      1.3031609079562492,
      1.2785654882862583,
      1.2545279424393043,
      1.231029725761831,
      1.2080532993501378,
      1.1855820162104465,
      1.1636000342532407,
      1.1420924972125746,
      1.121046295134382,
      1.1004491347466927,
      1.0802893045462918,
      1.0605551118902667,
      1.0412349473158187,
      1.0223174193021525,
      1.0037914330380655,
      0.9856462327356736,
      0.9678714205163119,
      0.9504569620959223,
      0.9333931836152961,
      0.9166707633168236,
      0.9002807199128475,
      0.8842144000271066,
      0.8684634649360569,
      0.8530198768204116,
      0.8378758855846761,
      0.8230240154086795,
      0.8084570528260775,
      0.7941680345532053,
      0.7801502358254226,
      0.7663971597825097,
      0.7529025274717185,
      0.7396602678744691,
      0.7266645085260175,
      0.7139095668818287,
      0.7013899422732081,
      0.6891003078315292,
      0.6770355028209379,
      0.6651905261710916,
      0.6535605292504383,
      0.6421408097795169,
      0.6309268055258301,
      0.6199140887049934,
      0.6090983608406911,
      0.5984754476795009,
      0.5880412625184805,
      0.5777920063874378,
      0.5677248377755267,
      0.5578369025070999,
      0.5481250842062907,
      0.5385861366271076,
      0.5292167646028902,
      0.5200136752418374,
      0.5109736077072488,
      0.5020933517417625,
      0.4933697578778869,
      0.4847997430178425,
      0.47638029285683775,
      0.468108462767975,
      0.45998137753728086,
      0.45199623007866346,
      0.444150279761292,
      0.4364409889893063,
      0.4288661448743385,
      0.4214234871882768,
      0.41411069036461606,
      0.40692540815105654,
      0.39986530136540926,
      0.3929280547707075,
      0.3861113869596372,
      0.3794130562515258,
      0.3728308637574112,
      0.36636265465486056,
      0.36000644875340676,
      0.3537603687421092,
      0.34762250229384123,
      0.34159093087941916,
      0.33566374741591204,
      0.32983906671720364,
      0.3241150317849297,
      0.31848981714134217,
      0.31296163718666825,
      0.3075287723759065,
      0.30218953698067125,
      0.2969422637371211,
      0.2917853092251019,
      0.28671705700690825,
      0.2817359194486055,
      0.27684033827557025,
      0.27202878479795783,
      0.267299759724454,
      0.26265179281016937,
      0.2580834423557189,
      0.25359329482713994,
      0.24917996406601664,
      0.2448420908034449,
      0.24057834181833743,
      0.23638725960899007,
      0.23226731960702507,
      0.22821711404381742,
      0.22423532328216203,
      0.22032069180984684,
      0.21647201263949842,
      0.21268811724699552,
      0.20896786893988759,
      0.20531035642384177,
      0.20171494814301444,
      0.19818089836461558,
      0.19470734913259397,
      0.19129333338336557,
      0.18793777084246427,
      0.18463959947730232,
      0.18139779221313931,
      0.1782113506314577,
      0.17507930105810485,
      0.17200069158262524,
      0.16897459011371865,
      0.1660000832555575,
      0.16307627539706987,
      0.1602022876813094,
      0.15737725748873183,
      0.15460033816585375,
      0.15187069849678578,
      0.14918752227965326,
      0.14655000800070625,
      0.14395736862467282,
      0.14140883109431393,
      0.13890363613635795,
      0.1364410381766579,
      0.1340203048424454,
      0.1316407168220281,
      0.12930156739275026,
      0.127002162406869,
      0.12474182004140345,
      0.12251987045132232,
      0.12033565561914726,
      0.11818852910673235,
      0.11607785587534958,
      0.11400301191880305,
      0.11196338428112836,
      0.1099583707152907,
      0.10798737934458422,
      0.10604982873254251,
      0.10414514764365111,
      0.1022727749075159,
      0.10043215892190759,
      0.09862275774712247,
      0.09684403886388142,
      0.09509547891834762,
      0.09337656368253269,
      0.09168678789314587,
      0.09002565496187999,
      0.0883926770464269,
      0.0867873746172187,
      0.0852092764282462,
      0.08365791943753581,
      0.08213284850128867,
      0.080633616299731,
      0.07915978332529035,
      0.07771091758045766,
      0.07628659450900123,
      0.07488639686145998,
      0.07350991452946828,
      0.07215674458713271,
      0.0708264908205315,
      0.06951876400057239,
      0.06823318142366956,
      0.06696936696935014,
      0.06572695108670774,
      0.06450557045109015,
      0.0633048679783366,
      0.06212449261322243,
      0.06096409945202109,
      0.05982334940414014,
      0.05870190915850407,
      0.05759945114897239,
      0.05651565335647544,
      0.055450199322756404,
      0.05440277798135971,
      0.053373083476540704,
      0.0523608152628172,
      0.051365677849017,
      0.05038738082190565,
      0.04942563873956964,
      0.04848017103078996,
      0.04755070190961495,
      0.04663696031091833,
      0.045738679631040474,
      0.04485559798455886,
      0.04398745784563992,
      0.04313400594811373,
      0.04229499349419608,
      0.04147017600799113,
      0.04065931292542534,
      0.039862167912129244,
      0.039078508744962624,
      0.038308107050953936,
      0.03755073824499803,
      0.03680618158395202,
      0.036074220159015936,
      0.03535464082033052,
      0.03464723388044857,
      0.03395179322562763,
      0.03326811635158834,
      0.03259600407608458,
      0.03193526055710436,
      0.03128569343801675,
      0.030647113542165344,
      0.03001933495496411,
      0.029402174774789794,
      0.028795453270283527,
      0.02819899375061309,
      0.027612622568433304,
      0.027036169001140142,
      0.026469465277092433,
      0.02591234629482672,
      0.02536464996364165,
      0.024826216843404917,
      0.024296890118775283,
      0.023776515781044123,
      0.023264942324535867,
      0.022762020847210056,
      0.022267605097935572,
      0.021781551101080064,
      0.021303717286480946,
      0.020833964577734787,
      0.02037215631207071,
      0.01991815815059138,
      0.01947183790840817,
      0.019033065717684813,
      0.018601713926177224,
      0.018177656921456283,
      0.01776077129424476,
      0.017350935838374798,
      0.01694803119680924,
      0.016551940125374833,
      0.016162547478818623,
      0.01577973991844512,
      0.015403406034288582,
      0.015033436308920591,
      0.014669723127362094,
      0.014312160679644139,
      0.013960644838449133,
      0.01361507338088188,
      0.01327534586100178,
      0.012941363413483332,
      0.012613028836538597,
      0.012290246637013467,
      0.011972922821254268,
      0.011660965130812325,
      0.011354282814333948,
      0.011052786684996865,
      0.010756389018927198,
      0.010465003541853547,
      0.010178545408614514,
      0.009896931366859532,
      0.009620079519222745,
      0.009347909243897074,
      0.009080341419078288,
      0.008817298271673471,
      0.008558703256419874,
      0.008304481073907233,
      0.008054557820331133,
      0.007808860830967302,
      0.007567318554204881,
      0.007329860843390829,
      0.0070964186178829,
      0.006866924030958349,
      0.006641310216185616,
      0.006419511546861191,
      0.006201463460994895,
      0.005987102506856132,
      0.005776366437690149,
      0.0055691938909274135,
      0.005365524707349801,
      0.005165299612101573,
      0.004968460249333715,
      0.00477494943660824,
      0.004584710844858712,
      0.0043976891912146645,
      0.004213830066129956,
      0.004033079923671401,
      0.0038553862592272895,
      0.003680697518089848,
      0.0035089626764967102,
      0.0033401318495805145,
      0.003174155904431475,
      0.0030109866174438337,
      0.002850576478335469,
      0.002692878802866922,
      0.0025378478292795246,
      0.002385438405224759,
      0.0022356061922528593,
      0.0020883075996560732,
      0.0019434997981113379,
      0.0018011406341061202,
      0.0016611887188058365,
      0.0015236034375355786,
      0.0013883447648864618,
      0.0012553732346736,
      0.0011246502113218698,
      0.0009961376808083403,
      0.0008697982669295039,
      0.0007455952246603975,
      0.0006234923973129917,
      0.0005034543103224552,
      0.00038544606359390587,
      0.00026943331543752746,
      0.00015538236390834483,
      4.32600464436702e-05,
      -6.696631399024294e-05,
      -0.000175328770099037,
      -0.0002818588061390805,
      -0.0003865875186720216,
      -0.0004895453252625906,
      -0.0005907621156657061,
      -0.0006902672800227722,
      -0.0007880897862823853,
      -0.0008842581473525184,
      -0.0009788003614434747,
      -0.0010717439012221093,
      -0.0011631157579055894,
      -0.0012529425854736417,
      -0.0013412503980766754,
      -0.0014280648758333448,
      -0.0015134113766447602,
      -0.0015973147111300687,
      -0.001679799303790659,
      -0.0017608890790747447,
      -0.001840607701326145,
      -0.0019189782544855112,
      -0.001996023517128463,
      -0.002071765854579483,
      -0.0021462273577108593,
      -0.0022194296369733887,
      -0.0022913940855947825,
      -0.002362141645182775,
      -0.002431692938925475,
      -0.0025000681937043133,
      -0.002567287300186669,
      -0.002633369846652137,
      -0.0026983349221157515,
      -0.00276220145862021,
      -0.0028249879427985096,
      -0.002886712794031992,
      -0.002947393825793607,
      -0.003007048767556032,
      -0.0030656949779021424,
      -0.0031233493982662968,
      -0.0031800288804181972,
      -0.003235749927919458,
      -0.003290528754689528,
      -0.003344381304091959,
      -0.003397323241749942,
      -0.003449369876784476,
      -0.003500536483088461,
      -0.0035508378754734106,
      -0.0036002886462206084,
      -0.0036489031396383215,
      -0.003696695457316318,
      -0.0037436796345153294,
      -0.0037898693898328274,
      -0.0038352781473266493,
      -0.0038799190511369665,
      -0.003923805093227837,
      -0.003966949043717429,
      -0.004009363360974913,
      -0.004051060482187839,
      -0.004092052446020696,
      -0.004132351239013321,
      -0.004171968588019371,
      -0.004210916019058016,
      -0.004249204877155266,
      -0.004286846332599001,
      -0.004323851284893208,
      -0.004360230513716878,
      -0.004395994543100058,
      -0.004431153714646135,
      -0.004465718361592624,
      -0.004499698544084497,
      -0.004533104133147689,
      -0.004565944894136437,
      -0.004598230327694141,
      -0.0046299698662106625,
      -0.0046611726944630096,
      -0.004691847887570689,
      -0.004722004382929911,
      -0.004751650856277377,
      -0.004780795972121603,
      -0.00480944820143585,
      -0.004837615867529478,
      -0.0048653072551341735,
      -0.004892530363069513,
      -0.004919293120051224,
      -0.004945603454185415,
      -0.004971468853037661,
      -0.004996896895937398,
      -0.005021894927158135,
      -0.005046470244001751,
      -0.005070629972705076,
      -0.005094381134528312,
      -0.005117730705277453,
      -0.005140685394462796,
      -0.005163251868957377,
      -0.005185436734549328,
      -0.005207246530072101,
      -0.005228687536807447
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334220506796628,
      10.091802340588146,
      9.84234311076436,
      9.58872488773305,
      9.333599009372243,
      9.079262243519223,
      8.827627096007694,
      8.580204131155833,
      8.338101350473073,
      8.102049991145538,
      7.8724445280172946,
      7.649393052507904,
      7.43277323668585,
      7.222289249223697,
      7.017525871290437,
      6.817997243839841,
      6.623188826532759,
      6.432592561952639,
      6.245734548084454,
      6.062195645389123,
      5.881624724549513,
      5.703733803375166,
      5.528297540621831,
      5.355174906107626,
      5.18429170050932,
      5.015651950395192,
      4.849376062930694,
      4.685687691016179,
      4.524867507702546,
      4.367225557883522,
      4.213104965423189,
      4.0628839226588225,
      3.916940570648986,
      3.775635501408281,
      3.639300953473465,
      3.5082299130007057,
      3.3826662280423903,
      3.262799105292327,
      3.1487596129447337,
      3.0406062479430167,
      2.93831962219353,
      2.8418108843165673,
      2.75090288861597,
      2.6653457962511897,
      2.584874082845044,
      2.5092188440208196,
      2.4381088528739174,
      2.37127671242984,
      2.308450633696511,
      2.2493333145936467,
      2.193548418029164,
      2.140735652874065,
      2.090562820443033,
      2.0427169508802763,
      1.9969260226344294,
      1.952962503748613,
      1.9106435170013467,
      1.8698122198502416,
      1.8303385416846372,
      1.7921075343365094,
      1.755020849590335,
      1.7189998340458308,
      1.6839797382778647,
      1.649909622730856,
      1.6167490178786998,
      1.5844607489109412,
      1.553010034897592,
      1.5223648027536125,
      1.4924951733415388,
      1.4633726000992675,
      1.4349698428034916,
      1.4072609321688818,
      1.3802219970487577,
      1.3538292163303343,
      1.3280579407526067,
      1.3028853669912053,
      1.2782903977639781,
      1.2542533219175498,
      1.230755592640111,
      1.2077796699213588,
      1.1853089061338273,
      1.1633274588563474,
      1.1418204803206156,
      1.120774870930716,
      1.1001783419496987,
      1.0800191777346433,
      1.0602856784566308,
      1.04096623024248,
      1.0220494387430412,
      1.0035242078278814,
      0.98537978045507,
      0.9676057581478411,
      0.950192106204004,
      0.9331291503051322,
      0.9164075683790973,
      0.9000183793075298,
      0.8839529297413489,
      0.8682028807761079,
      0.8527601943908567,
      0.8376171204053207,
      0.8227661831185056,
      0.8082001687624989,
      0.7939121136481125,
      0.7798952928935368,
      0.7661432097710649,
      0.7526495850105093,
      0.7394083471692517,
      0.7264136235184795,
      0.7136597315242511,
      0.701141170334117,
      0.688852612714483,
      0.6767888980081839,
      0.6649450245631353,
      0.6533161434603297,
      0.6418975521107072,
      0.6306846878892507,
      0.6196731228306606,
      0.6088585583779035,
      0.5982368194485551,
      0.5878038187942033,
      0.5775557972782198,
      0.5674899663716773,
      0.5576034344227249,
      0.5478930619213457,
      0.5383555876816514,
      0.5289877074972691,
      0.5197861220943528,
      0.5107475667063,
      0.5018688286866414,
      0.49314675671296093,
      0.48457826655721065,
      0.4761603432440229,
      0.46789004162174985,
      0.4597644859881145,
      0.45178086872083656,
      0.44393644890310013,
      0.436228710191134,
      0.42865543968455383,
      0.42121436824762865,
      0.4139031645027249,
      0.40671947841542855,
      0.39966096860021566,
      0.39272531806301325,
      0.3859102442792595,
      0.37921350475182813,
      0.37263290001761307,
      0.3661662794694144,
      0.3598116687066373,
      0.35356718601456777,
      0.3474309160807351,
      0.3414009385513854,
      0.33547534504621535,
      0.3296522495637421,
      0.3239297944979739,
      0.31830615409403756,
      0.3127795432587574,
      0.3073482433184537,
      0.30201056746442984,
      0.296764847786899,
      0.2916094405853233,
      0.2865427290838333,
      0.28156312526239713,
      0.27666907052243717,
      0.2718590359600596,
      0.267131522177148,
      0.26248505887606327,
      0.25791820429295326,
      0.25342954459940237,
      0.24901769360582635,
      0.24468129189179755,
      0.24041900625506188,
      0.23622938625115306,
      0.2321109075524799,
      0.2280621595700757,
      0.22408182093114354,
      0.22016863496880637,
      0.21632139384894353,
      0.2125389286062082,
      0.20882010216609673,
      0.20516399490712536,
      0.20156997459122888,
      0.19803729849799348,
      0.194565110594893,
      0.19115244149181476,
      0.1877982115542067,
      0.18450136058759142,
      0.18126086265233946,
      0.17807572019839366,
      0.17494495995208076,
      0.17186763018449958,
      0.16884279903419458,
      0.16586955322437236,
      0.1629469970885011,
      0.1600742518762632,
      0.15725045501367219,
      0.15447475978054903,
      0.1517463349021494,
      0.1490643641757992,
      0.1464280460806302,
      0.14383659355477968,
      0.14128923366013801,
      0.1387852070443849,
      0.13632376798272364,
      0.13390418424203646,
      0.13152573645030743,
      0.12918771794274542,
      0.12688943458812904,
      0.12463020455730706,
      0.1224093580146019,
      0.12022623699874696,
      0.11808019499632527,
      0.11597059697786052,
      0.11389681897951202,
      0.11185824801908327,
      0.10985428178611788,
      0.10788432858261235,
      0.10594780706917253,
      0.10404414597498401,
      0.10217278401230755,
      0.10033316965874763,
      0.09852476087025681,
      0.09674702518829142,
      0.09499943944662309,
      0.09328148948420088,
      0.09159267004778496,
      0.08993248460387823,
      0.08830044521258335,
      0.0866960724151652,
      0.0851188949791997,
      0.08356844983770621,
      0.08204428197110734,
      0.08054594414870611,
      0.079072996923687,
      0.07762500841377075,
      0.07620155404503491,
      0.07480221653169267,
      0.07342658581520663,
      0.07207425889584503,
      0.07074483964485698,
      0.06943793890892855,
      0.06815317405136,
      0.06689016906385697,
      0.06564855436838513,
      0.0644279666779056,
      0.06322804895932806,
      0.06204845042266654,
      0.060888826008483304,
      0.05974883668819561,
      0.05862814928095951,
      0.057526436228832356,
      0.05644337566930951,
      0.05537865111559742,
      0.05433195153858449,
      0.053302971106491195,
      0.05229140918903862,
      0.05129697058764762,
      0.050319365022832525,
      0.049358307034381134,
      0.048413515998104235,
      0.04748471621220584,
      0.04657163661046556,
      0.045674010680708484,
      0.04479157655646357,
      0.04392407684970782,
      0.04307125832524117,
      0.04223287221764354,
      0.041408674119915445,
      0.04059842359300843,
      0.039801884299184145,
      0.03901882397298062,
      0.0382490143633508,
      0.03749223093012944,
      0.0367482531908523,
      0.03601686416081247,
      0.035297850722673836,
      0.034591003291606824,
      0.03389611585085262,
      0.03321298580966963,
      0.0325414140782808,
      0.03188120485714031,
      0.03123216593519803,
      0.03059410818762193,
      0.029966845651843932,
      0.02935019550723403,
      0.028743978118232306,
      0.02814801687945172,
      0.027562138155483147,
      0.026986171238480672,
      0.026419948482460966,
      0.025863304838509123,
      0.025316078291371155,
      0.024778109308013475,
      0.024249241257462868,
      0.02372932011583246,
      0.02321819446815585,
      0.022715715418572396,
      0.022221736669242223,
      0.021736114405521208,
      0.021258707236053918,
      0.020789376084188228,
      0.02032798438166168,
      0.019874397680036883,
      0.019428483970339524,
      0.018990113344117918,
      0.01855915820360247,
      0.01813549308625642,
      0.017718994593122542,
      0.01730954148430556,
      0.016907014560234284,
      0.016511296671723266,
      0.016122272515185603,
      0.01573982884262321,
      0.015363854380166934,
      0.014994239716412628,
      0.014630877121658252,
      0.014273660901789924,
      0.013922487085704895,
      0.013577253520176977,
      0.013237859660174657,
      0.01290420664547556,
      0.01257619740916912,
      0.01225373641145763,
      0.011936729856813627,
      0.011625085497660005,
      0.011318712534362688,
      0.011017521869785624,
      0.010721425782802906,
      0.010430338063080354,
      0.01014417405444185,
      0.009862850418286986,
      0.009586285277408667,
      0.009314398270115697,
      0.009047110088680975,
      0.008784342988822495,
      0.008526020516418991,
      0.008272067417462843,
      0.008022409864686,
      0.007776975116663524,
      0.007535691684258744,
      0.007298489495345367,
      0.007065299460660143,
      0.0068360537311295665,
      0.0066106854184278955,
      0.006389129127963599,
      0.006171320333013618,
      0.0059571956370396304,
      0.0057466927220074775,
      0.005539750389947504,
      0.005336308348369636,
      0.005136307444372752,
      0.004939689464190515,
      0.004746397152971635,
      0.004556374244408693,
      0.004369565405274906,
      0.004185916380815838,
      0.004005373654734434,
      0.003827884671489165,
      0.0036533977700659776,
      0.0034818622420777923,
      0.003313228081654707,
      0.0031474462281814333,
      0.002984468417998012,
      0.0028242472374275527,
      0.0026667361333039645,
      0.00251188917312391,
      0.002359661322583754,
      0.0022100083262278085,
      0.0020628865654357953,
      0.0019182533517395606,
      0.0017760664853243818,
      0.001636284636942125,
      0.0014988670388907978,
      0.0013637736561824367,
      0.0012309652134882309,
      0.001100403155754283,
      0.0009720495220598179,
      0.0008458669047910679,
      0.0007218185637319428,
      0.0005998683707979692,
      0.000479980909936837,
      0.00036212129357724153,
      0.0002462551209696006,
      0.00013234868686849645,
      2.036893173681981e-05,
      -8.971678982435316e-05,
      -0.00019794047449594158,
      -0.00030433368519082254,
      -0.0004089272547143111,
      -0.000511751706219164,
      -0.0006128369910240115,
      -0.0007122125810519904,
      -0.0008099072216347133,
      -0.0009059494264328273,
      -0.0010003671371824345,
      -0.0010931879101656774,
      -0.001184438674486714,
      -0.001274145952182346,
      -0.001362335879677559,
      -0.0014490340750256412,
      -0.0015342659866038907,
      -0.0016180563250982392,
      -0.0017004293512447302,
      -0.0017814090221259591,
      -0.0018610190215249517,
      -0.0019392825284605289,
      -0.0020162222446227507,
      -0.0020918606235971996,
      -0.00216621966610713,
      -0.002239321006595686,
      -0.0023111858450292253,
      -0.0023818351006899127,
      -0.0024512893989833457,
      -0.0025195689039005644,
      -0.002586693556561182,
      -0.0026526827905350193,
      -0.0027175559138585123,
      -0.002781331758193308,
      -0.002844028854954732,
      -0.002905665571505043,
      -0.002966259763324928,
      -0.0030258290479190588,
      -0.0030843907593009184,
      -0.0031419619270355143,
      -0.00319855929218,
      -0.003254199404837169,
      -0.003308898332855157,
      -0.0033626721068182965,
      -0.0034155363373671874,
      -0.003467506461194131,
      -0.0035185975089651773,
      -0.0035688243934292917,
      -0.0036182016940826097,
      -0.0036667438229762844,
      -0.00371446493478205,
      -0.0037613789695990236,
      -0.003807499485251448,
      -0.0038528397865958907,
      -0.0038974131624759014,
      -0.003941232568752703,
      -0.003984310800159894,
      -0.004026660375026026,
      -0.0040682936990082755,
      -0.004109222814762959,
      -0.00414945972923401,
      -0.0041890160853833526,
      -0.004227903335135465,
      -0.0042661328289575326,
      -0.0043037157394237606,
      -0.004340662946080134,
      -0.0043769852118082505,
      -0.004412693078726694,
      -0.00444779692879575,
      -0.004482307043408411,
      -0.0045162334785383545,
      -0.004549586065958027,
      -0.0045823745473633085,
      -0.004614608339016177,
      -0.004646296861441341,
      -0.004677449410778891,
      -0.004708075074682012,
      -0.004738182786871057,
      -0.004767781311459363,
      -0.004796879181998245,
      -0.004825484823812941,
      -0.0048536064982065905,
      -0.004881252525669145,
      -0.0049084309749822,
      -0.00493514973317585,
      -0.004961416555480167,
      -0.004987239153141288,
      -0.005012625083620622,
      -0.005037581627566405,
      -0.005062116040338771,
      -0.00508623541480289,
      -0.005109946817376544,
      -0.0051332571631551764,
      -0.005156173217599543,
      -0.005178701661232903,
      -0.005200849039588909,
      -0.005222621807918002,
      -0.005244026350320176
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334218206585039,
      10.091792059834328,
      9.842319620948256,
      9.588683546833947,
      9.333535791994603,
      9.079174364596433,
      8.827512805499783,
      8.580062404647592,
      8.33793169116004,
      8.101852263612514,
      7.872218820240552,
      7.6491395744822706,
      7.43249225110708,
      7.221981029908681,
      7.017190687078809,
      6.817635362469032,
      6.622800556518602,
      6.4321783079958035,
      6.245294795907813,
      6.061730994924295,
      5.881135958989917,
      5.703221970672244,
      5.5277639043109135,
      5.354620972319584,
      5.18371907242942,
      5.015062657843664,
      4.848773103978645,
      4.68507430134437,
      4.524246975051361,
      4.366601236390805,
      4.2124804904704245,
      4.062262989613254,
      3.916326715054323,
      3.775032034873914,
      3.638710907326211,
      3.507655998449727,
      3.3821107985198595,
      3.2622641318158916,
      3.1482465881379453,
      3.040116087212566,
      2.937852710651923,
      2.8413671671918115,
      2.7504815856038873,
      2.6649457371520233,
      2.584493960552923,
      2.5088571186319117,
      2.4377639911996516,
      2.3709472470534982,
      2.3081349660024615,
      2.2490295935668043,
      2.193254497792681,
      2.140449452614133,
      2.0902822348965264,
      2.042440253582348,
      1.996651863562242,
      1.9526898840986833,
      1.9103716974949074,
      1.8695406525210714,
      1.8300667737395229,
      1.7918351439741025,
      1.7547475568381659,
      1.7187254559313871,
      1.6837041692521286,
      1.649633188764316,
      1.6164720950245186,
      1.584183585057889,
      1.5527327937014141,
      1.5220876094940656,
      1.4922181194824073,
      1.4630957473194601,
      1.4346932339577112,
      1.4069845983830336,
      1.3799459747790102,
      1.35355355338382,
      1.3277826778449884,
      1.3026105339412464,
      1.2780160183149962,
      1.253979415537599,
      1.2304821763033797,
      1.2075067600726772,
      1.1850365185506158,
      1.163055609051554,
      1.1415491916073104,
      1.120504177959752,
      1.0999082832578502,
      1.079749787628309,
      1.0600169844726561,
      1.0406982553631414,
      1.0217822033839175,
      1.0032577304306058,
      0.9851140783643988,
      0.9673408481135854,
      0.9499280046611076,
      0.9328658736360165,
      0.916145132956321,
      0.8997568009605835,
      0.883692224172876,
      0.8679430639622001,
      0.8525012821021161,
      0.8373591280180495,
      0.8225091257662862,
      0.8079440615750234,
      0.7936569719507329,
      0.7796411319615532,
      0.7658900442398154,
      0.7523974293912709,
      0.7391572159701514,
      0.7261635313535474,
      0.7134106923973657,
      0.7008931979014157,
      0.6886057205099293,
      0.6765430989708537,
      0.6647003313662897,
      0.6530725684735007,
      0.6416551075549956,
      0.6304433858800634,
      0.6194329751060511,
      0.6086195760674994,
      0.5979990135950957,
      0.5875671998233079,
      0.5773204463013291,
      0.5672559739596962,
      0.5573708588080286,
      0.5476619405068549,
      0.5381259449127813,
      0.5287595596068103,
      0.5195594799808188,
      0.5105224378723459,
      0.5016452183705197,
      0.49292466862351564,
      0.4843577034188265,
      0.4759413070268139,
      0.46767253381373886,
      0.4595485074519354,
      0.4515664199502517,
      0.4437235301699605,
      0.436017342956148,
      0.42844564556130277,
      0.421006159826305,
      0.4136965484211948,
      0.4065144576923734,
      0.39945754372958225,
      0.3925234881206605,
      0.385710007205691,
      0.3790148580086265,
      0.37243584044911043,
      0.3659708078122425,
      0.3596177914443949,
      0.35337490536157684,
      0.3472402312217985,
      0.34121184692946016,
      0.3352878427881594,
      0.3294663319869157,
      0.3237454563313525,
      0.3181233896048947,
      0.3125983472141756,
      0.30716861143777546,
      0.301832494543878,
      0.2965883279053313,
      0.2914344671894703,
      0.28636929532420563,
      0.28139122408320366,
      0.27649869483807255,
      0.2716901785625573,
      0.2669641755005913,
      0.26231921517795004,
      0.257753855756292,
      0.2532666834076917,
      0.24885631151987775,
      0.24452138070136248,
      0.24026055779636443,
      0.23607239941969402,
      0.23195538148677855,
      0.22790809056485684,
      0.2239292036111874,
      0.22001746264094274,
      0.21617165907694755,
      0.21239062336155926,
      0.20867321816651255,
      0.20501851545506092,
      0.20142588251098137,
      0.19789457953785425,
      0.19442375237675857,
      0.1910124293626797,
      0.18765953150146109,
      0.18436400041207654,
      0.18112481139246758,
      0.1779409675201521,
      0.17481149592240275,
      0.17173544521053807,
      0.16871188367619028,
      0.16573989817391957,
      0.1628185931211693,
      0.1599470896000893,
      0.15712452514470215,
      0.15435005306183397,
      0.1516228420604754,
      0.14894207596080639,
      0.14630695321419357,
      0.14371668682624858,
      0.14117050364578176,
      0.13866764439213883,
      0.13620736351839613,
      0.13378892861147249,
      0.1314116203140625,
      0.12907473200486203,
      0.12677756957392,
      0.12451945108919295,
      0.12229970674784724,
      0.12011767865520341,
      0.117972720284086,
      0.11586419656088912,
      0.11379148357431326,
      0.11175396841502935,
      0.10975104877660435,
      0.1077821329025752,
      0.10584663951006718,
      0.10394399731526573,
      0.10207364504316267,
      0.1002350313050875,
      0.09842761417215608,
      0.09665086109168324,
      0.09490424887991421,
      0.09318726337091934,
      0.09149939936983646,
      0.0898401603377953,
      0.08820905841185335,
      0.08660561420052008,
      0.08502935656393514,
      0.0834798224770504,
      0.08195655689882528,
      0.08045911265669588,
      0.07898705022197099,
      0.07753993773201541,
      0.07611735068942788,
      0.07471887199293249,
      0.0733440916069881,
      0.07199260659327839,
      0.0706640210061336,
      0.06935794563793461,
      0.06807399782075661,
      0.06681180160191205,
      0.06557098746634406,
      0.06435119223870862,
      0.06315205881782346,
      0.061973236349980115,
      0.06081437989717611,
      0.05967515059808684,
      0.05855521523744585,
      0.05745424633908573,
      0.056371921974570104,
      0.055307925860064215,
      0.05426194695221296,
      0.0532336795982325,
      0.052222823298859467,
      0.05122908278323646,
      0.05025216767067799,
      0.04929179269512465,
      0.04834767727733823,
      0.047419545789386564,
      0.04650712723928341,
      0.04561015522511421,
      0.04472836784876195,
      0.04386150773615963,
      0.043009321832511514,
      0.042171561446606824,
      0.041347982098145476,
      0.04053834346422615,
      0.03974240920131137,
      0.0389599471709146,
      0.03819072912097968,
      0.037434530643348285,
      0.03669113114581017,
      0.03596031386414821,
      0.03524186561546189,
      0.03453557687040026,
      0.033841241737948766,
      0.03315865758825062,
      0.032487625484023314,
      0.03182794981104819,
      0.031179438240165346,
      0.03054190158705162,
      0.02991515414244618,
      0.029299013239444276,
      0.028693299150648516,
      0.028097835340415298,
      0.02751244822006399,
      0.02693696713762694,
      0.026371224499606008,
      0.02581505545927117,
      0.025268297863720167,
      0.024730792294074766,
      0.024202382199047242,
      0.02368291351129987,
      0.023172235018250786,
      0.0226701979103719,
      0.02217665582992921,
      0.02169146503009949,
      0.021214484080821022,
      0.02074557406283,
      0.02028459824617226,
      0.019831422394665923,
      0.019385914577481286,
      0.018947944925791067,
      0.018517385944920535,
      0.018094112154765852,
      0.017678000240953846,
      0.01726892903593706,
      0.01686677936866608,
      0.01647143408764597,
      0.016082777957803752,
      0.015700697864390746,
      0.015325082471319793,
      0.014955822363677762,
      0.014592810070465149,
      0.014235939898007472,
      0.013885107858719308,
      0.013540211721851258,
      0.013201151038612198,
      0.012867827028362063,
      0.012540142687503957,
      0.012218002548917355,
      0.011901312721048994,
      0.01158998104784756,
      0.011283916874419903,
      0.010983031086052185,
      0.01068723605763436,
      0.010396445634368099,
      0.010110575162723746,
      0.009829541387427162,
      0.009553262391944638,
      0.00928165779263002,
      0.00901464848684394,
      0.008752156787920976,
      0.00849410615857018,
      0.00824042148313382,
      0.007991028880833079,
      0.0077458557724020705,
      0.007504830735094046,
      0.007267883546873189,
      0.007034945273471151,
      0.006805948093298441,
      0.006580825317684845,
      0.006359511338904944,
      0.006141941741759214,
      0.005928053171665427,
      0.005717783250685191,
      0.005511070779030546,
      0.005307855666778148,
      0.005108078697644915,
      0.004911681741907498,
      0.004718607578930325,
      0.004528800016270918,
      0.004342203726298206,
      0.004158764340978287,
      0.003978428492607389,
      0.0038011436362953574,
      0.003626858180971668,
      0.0034555214074791785,
      0.0032870833904929918,
      0.0031214951399368292,
      0.002958708497269904,
      0.0027986760294763787,
      0.002641351008277262,
      0.0024866876909761283,
      0.002334641007279735,
      0.002185166732337878,
      0.002038221344802786,
      0.001893762085265087,
      0.001751746870833003,
      0.0016121343717918073,
      0.001474883887357955,
      0.0013399555550275208,
      0.0012073100160328919,
      0.0010769086486910697,
      0.0009487134868751223,
      0.0008226871598985251,
      0.0006987930004489629,
      0.0005769949769093303,
      0.00045725765992899494,
      0.00033954621062316575,
      0.00022382625657348744,
      0.0001100640749719147,
      -1.7734380063829248e-06,
      -0.00011171878278930772,
      -0.00021980397747830438,
      -0.00032606051187874624,
      -0.0004305192675659463,
      -0.0005332107281886154,
      -0.0006341648063916247,
      -0.0007334107960435441,
      -0.000830977658902527,
      -0.0009268938267071276,
      -0.001021187350771934,
      -0.0011138856497092439,
      -0.0012050155979112672,
      -0.0012946037647523002,
      -0.0013826762514996013,
      -0.0014692586985290228,
      -0.0015543762970353383,
      -0.001638053741386771,
      -0.0017203154789278252,
      -0.0018011854114132779,
      -0.0018806871671231311,
      -0.0019588438563479874,
      -0.002035678263999596,
      -0.00211121281178979,
      -0.0021854694299432626,
      -0.002258469694292861,
      -0.002330234834540133,
      -0.0024007857413736655,
      -0.002470143016539044,
      -0.002538326913990983,
      -0.0026053571646925612,
      -0.0026712534169257523,
      -0.0027360347597974646,
      -0.0027997201801541233,
      -0.0028623281277008294,
      -0.0029238767979945547,
      -0.0029843842734521954,
      -0.003043868047278304,
      -0.0031023453339936798,
      -0.003159833340658184,
      -0.0032163487235823776,
      -0.003271907869987895,
      -0.0033265269561122772,
      -0.0033802219343042495,
      -0.0034330084112401977,
      -0.0034849018619400635,
      -0.0035359173530646625,
      -0.003586069754972138,
      -0.0036353737175164797,
      -0.0036838435429099744,
      -0.00373149333095514,
      -0.0037783369453235492,
      -0.003824388068035835,
      -0.00386965998596072,
      -0.003914166024808448,
      -0.003957919060555331,
      -0.004000931798982868,
      -0.004043216825795516,
      -0.004084786394993117,
      -0.004125652782457785,
      -0.004165827666128043,
      -0.004205322820732513,
      -0.004244149731386066,
      -0.004282319797941092,
      -0.004319844156795662,
      -0.004356733667530885,
      -0.004392999063731766,
      -0.0044286508996257785,
      -0.00446369960432311,
      -0.004498155338107015,
      -0.004532028134247602,
      -0.004565327804856738,
      -0.004598064011028732,
      -0.004630246320040613,
      -0.0046618841474624735,
      -0.004692986768556401,
      -0.00472356324021708,
      -0.004753622532156648,
      -0.004783173231069899,
      -0.004812223956236041,
      -0.004840783132396079,
      -0.0048688590483497475,
      -0.004896459927536703,
      -0.004923593807799045,
      -0.004950268642926806,
      -0.004976492142925767,
      -0.0050022719758535715,
      -0.005027615663923881,
      -0.0050525306210628135,
      -0.005077024072859971,
      -0.005101103091247466,
      -0.005124774692399421,
      -0.005148045819649196,
      -0.0051709232625362506,
      -0.005193413734477935,
      -0.005215523701935395,
      -0.00523725962602704,
      -0.005258627771549484
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334215905152748,
      10.091781773795251,
      9.842296119612469,
      9.588642184839644,
      9.333472536038487,
      9.079086423612146,
      8.827398425848681,
      8.57992055947438,
      8.33776188248097,
      8.101654352899555,
      7.871992894728679,
      7.648885845147285,
      7.432210981008171,
      7.221672492326089,
      7.016855151391058,
      6.817273096930384,
      6.62241187582139,
      6.431763623125411,
      6.244854589955796,
      6.061265866180554,
      5.880646688807161,
      5.7027096081978454,
      5.527229712979507,
      5.354066459840154,
      5.183145843427285,
      5.01447274374393,
      4.848169505462073,
      4.684460253637347,
      4.5236257691680315,
      4.3659762303768535,
      4.211855325307199,
      4.061641365642889,
      3.9157121717789374,
      3.774427887674157,
      3.6381201909299627,
      3.50708142641485,
      3.3815547262312986,
      3.261728530789903,
      3.147732950931911,
      3.039625317910178,
      2.9373851845560286,
      2.840922833040313,
      2.7500596655828597,
      2.664545061863832,
      2.5841132245992497,
      2.5084947838514755,
      2.437418524985986,
      2.3706171825807636,
      2.307818704734476,
      2.2487252842712637,
      2.192959996717734,
      2.14016267860015,
      2.0900010830638425,
      2.0421629982244207,
      1.9963771564637856,
      1.9524167270757802,
      1.910099351809052,
      1.869268570010326,
      1.829794502513629,
      1.7915622622543328,
      1.7544737847906102,
      1.718450610791862,
      1.6834282479377314,
      1.6493565666461203,
      1.6161950929874769,
      1.5839064140856889,
      1.5524556011792725,
      1.5218105083503004,
      1.491941185486398,
      1.4628190320197267,
      1.4344167739155307,
      1.4067084207932583,
      1.379670113969406,
      1.353278055767764,
      1.3275075827661484,
      1.3023358708341586,
      1.2777418102033926,
      1.253705681801027,
      1.2302089346610714,
      1.2072340268712203,
      1.1847643094897822,
      1.1627839396379949,
      1.1412780850668802,
      1.1202336689276386,
      1.0996384099194325,
      1.0794805844669881,
      1.059748479527131,
      1.0404304715279695,
      1.0215151610583575,
      1.002991448009198,
      0.9848485734194704,
      0.9670761375918383,
      0.9496641049607771,
      0.9326028008182532,
      0.9158829026852566,
      0.899495429341852,
      0.8834317269491991,
      0.8676834566084632,
      0.8522425803116144,
      0.8371013473603761,
      0.8222522816867686,
      0.8076881695830144,
      0.7934020471079762,
      0.7793871888896081,
      0.7656370980045996,
      0.7521454945940147,
      0.7389063069962435,
      0.7259136621756802,
      0.7131618769765259,
      0.7006454497114419,
      0.6883590526606308,
      0.6762975244204887,
      0.664455863174149,
      0.6528292194324244,
      0.6414128899911542,
      0.6302023116451418,
      0.6191930560424059,
      0.6083808236244925,
      0.5977614388682091,
      0.5873308128961647,
      0.5770853340120291,
      0.5670222245423695,
      0.5571385287927898,
      0.5474310667814986,
      0.5378965514226106,
      0.5285316620465367,
      0.519333089078862,
      0.5102975610734445,
      0.5014218607374848,
      0.49270283385178465,
      0.4841373941015301,
      0.47572252513849356,
      0.467455280727624,
      0.45933278422914475,
      0.4513522273162849,
      0.4435108685103993,
      0.43580623360003623,
      0.4282361101008183,
      0.4207982106604051,
      0.41349019223298067,
      0.40630969747688445,
      0.3992543799134869,
      0.39232191961747104,
      0.38551003205444306,
      0.37881647334305607,
      0.37223904284185877,
      0.3657755981902179,
      0.35942417651130626,
      0.3531828870606751,
      0.34704980881436764,
      0.34102301759565307,
      0.33510060256045865,
      0.3292806760910604,
      0.3235613793813241,
      0.317940885894573,
      0.3124174115766303,
      0.3069892397240761,
      0.3016546814423911,
      0.2964120675537356,
      0.2912597530828922,
      0.286196120726607,
      0.2812195819910249,
      0.27632857791512355,
      0.27152157923669,
      0.2667970862360719,
      0.2621536283001085,
      0.2575897634397732,
      0.2531040777511713,
      0.24869518461874257,
      0.24436172450263857,
      0.2401023640020877,
      0.23591566685525148,
      0.23180010933526657,
      0.22775427507700324,
      0.22377683912630053,
      0.21986654252284865,
      0.21602217585645356,
      0.21224256906541847,
      0.20852658454140977,
      0.2048732858823656,
      0.2012820397661854,
      0.1977521094726045,
      0.194282642588526,
      0.19087266523708732,
      0.18752109902615155,
      0.1842268873618977,
      0.18098900679185878,
      0.17780646109677556,
      0.1746782777852282,
      0.17160350570665783,
      0.16858121336231405,
      0.165610487724572,
      0.16269043313476672,
      0.159820170996072,
      0.1569988386892493,
      0.15422558947160717,
      0.15149959213761688,
      0.14882003034543545,
      0.14618610264541482,
      0.1435970218683078,
      0.14105201502386103,
      0.13855032288939262,
      0.13609119980301118,
      0.13367391341882995,
      0.1312977444127803,
      0.1289619860858863,
      0.12666594422830982,
      0.12440893691227085,
      0.12219029435418557,
      0.12000935872502419,
      0.11786548350767304,
      0.11575803368475482,
      0.11368638533287526,
      0.11164992543638241,
      0.10964805174846792,
      0.10768017270651505,
      0.10574570688534095,
      0.10384408306274334,
      0.10197473999375371,
      0.10013712626292852,
      0.0983306999780364,
      0.09655492872485572,
      0.0948092893565485,
      0.09309326762341752,
      0.09140635845672206,
      0.08974806531648255,
      0.08811790045332746,
      0.08651538443978889,
      0.08494004612871271,
      0.0833914226053652,
      0.0818690589517078,
      0.08037250788653925,
      0.07890132996345074,
      0.07745509325587277,
      0.07603337328166565,
      0.07463575311074691,
      0.07326182275794836,
      0.07191117939327747,
      0.07058342696053857,
      0.0692781762788723,
      0.06799504488849599,
      0.06673365683903325,
      0.0654936426061586,
      0.06427463899336275,
      0.0630762890730418,
      0.061898242013764745,
      0.06074015307287033,
      0.05960168330024614,
      0.0584824995715761,
      0.05738227449085475,
      0.05630068615807267,
      0.05523741820865714,
      0.05419215979736276,
      0.05316460520158839,
      0.052154454112399266,
      0.0511614112898258,
      0.05018518634934378,
      0.04922549406224487,
      0.04828205399468608,
      0.047354590461023346,
      0.046442832574245516,
      0.045546513984024366,
      0.04466537288919048,
      0.043799151841827436,
      0.04294759793707861,
      0.042110462590390134,
      0.04128750135374764,
      0.040478473960747025,
      0.03968314418684304,
      0.03890127986552557,
      0.03813265284343522,
      0.03737703874047141,
      0.0366342170496392,
      0.035903971028445565,
      0.03518608757294815,
      0.03448035723958938,
      0.03378657415373994,
      0.033104535766451754,
      0.032434043184267326,
      0.03177490076803061,
      0.031126916260041198,
      0.0304899007017052,
      0.02986366819180426,
      0.02924803612741825,
      0.028642825006009412,
      0.02804785826468511,
      0.027462962519319043,
      0.026887967058453907,
      0.026322704270479804,
      0.02576700937600447,
      0.025220720216524772,
      0.02468367754881055,
      0.02415572488006867,
      0.023636708332941875,
      0.023126476565323108,
      0.0226248807376078,
      0.022131774724103867,
      0.02164701476369329,
      0.02117045941066118,
      0.020701969856068776,
      0.02024140946648231,
      0.019788644139994354,
      0.019343541958874947,
      0.018905973073868407,
      0.0184758099273315,
      0.01805292709038294,
      0.01763720136987608,
      0.017228511554437366,
      0.016826738633320248,
      0.01643176545052631,
      0.016043477003014537,
      0.015661760028076004,
      0.015286503278239914,
      0.014917597435195,
      0.014554934980282475,
      0.014198410154606145,
      0.013847919129738573,
      0.01350335978509844,
      0.013164631733860848,
      0.012831636291899446,
      0.01250427638987326,
      0.01218245668869826,
      0.011866083409278588,
      0.011555064295522091,
      0.011249308678740449,
      0.010948727611805128,
      0.01065323355852598,
      0.010362740362041085,
      0.010077163301216345,
      0.009796419235374984,
      0.009520426233711987,
      0.00924910389634101,
      0.008982373229646646,
      0.008720156603781901,
      0.008462377600407271,
      0.008208961069459307,
      0.007959833203076921,
      0.007714921411371826,
      0.0074741543558504795,
      0.007237461860233908,
      0.0070047749467287345,
      0.006776025737185745,
      0.006551147657417562,
      0.006330075175951898,
      0.006112743928672809,
      0.005899090701432261,
      0.0056890531884433064,
      0.005482570180279746,
      0.0052795815016956705,
      0.005080028023842774,
      0.004883851641868447,
      0.004690995161279635,
      0.004501402487244432,
      0.004315018340598861,
      0.004131788352608292,
      0.003951659169793552,
      0.003774578314300592,
      0.0036004943088219546,
      0.0034293563026704383,
      0.003261114381256408,
      0.0030957196503048658,
      0.0029331238588369323,
      0.0027732796488221267,
      0.002616140579425246,
      0.002461660779083096,
      0.0023097951856386606,
      0.002160499566287967,
      0.0020137304777202566,
      0.0018694450637731328,
      0.0017276014660083906,
      0.0015881584431599652,
      0.0014510752793134383,
      0.0013163119610084839,
      0.0011838292556299974,
      0.001053588455592541,
      0.0009255517098811155,
      0.0007996817290371728,
      0.0006759418170612046,
      0.000554296013570717,
      0.0004347087235218238,
      0.0003171451181501211,
      0.00020157113832954525,
      8.795307456746446e-05,
      -2.374224094620307e-05,
      -0.00013354730378639982,
      -0.00024149415382842588,
      -0.0003476142847404105,
      -0.00045193857693003064,
      -0.0005544973104616705,
      -0.0006553204367689169,
      -0.0007544373462682074,
      -0.0008518769710185885,
      -0.0009476675803382725,
      -0.001041837057037829,
      -0.001134412835194488,
      -0.0012254219569953005,
      -0.001314891102667004,
      -0.0014028462306233916,
      -0.0014893129085504476,
      -0.001574316273895817,
      -0.0016578811068445197,
      -0.001740031743389711,
      -0.0018207921580240748,
      -0.0019001858734298564,
      -0.001978236020966949,
      -0.0020549653935374697,
      -0.002130396191249452,
      -0.002204550464998837,
      -0.0022774498533422965,
      -0.002349115489364426,
      -0.0024195683565070613,
      -0.0024888289769901656,
      -0.0025569174859624813,
      -0.0026238537997664672,
      -0.0026896573441155674,
      -0.002754347353126407,
      -0.0028179425884645,
      -0.002880461514898451,
      -0.0029419224363980284,
      -0.003002343338804176,
      -0.0030617417635158428,
      -0.0031201349653513623,
      -0.003177539935658242,
      -0.003233973399175762,
      -0.0032894518413158335,
      -0.0033439914840806915,
      -0.0033976081905778325,
      -0.003450317482760535,
      -0.0035021346979760325,
      -0.003553075055273897,
      -0.0036031532891092925,
      -0.003652384082509085,
      -0.003700781742955112,
      -0.00374836039860139,
      -0.0037951338755525714,
      -0.003841115714070561,
      -0.003886319463465603,
      -0.003930758194365318,
      -0.003974444798405392,
      -0.0040173920896067455,
      -0.004059612625549874,
      -0.004101118744243271,
      -0.004141922491489348,
      -0.004182035750897087,
      -0.004221470169844982,
      -0.0042602372431274505,
      -0.004298348313727028,
      -0.004335814400971525,
      -0.004372646390087392,
      -0.00440885501144321,
      -0.004444450850855915,
      -0.0044794442574524656,
      -0.004513845530621508,
      -0.00454766457247712,
      -0.004580911314886237,
      -0.004613595452922941,
      -0.004645726463965882,
      -0.00467731372750608,
      -0.004708366511135195,
      -0.004738893720651084,
      -0.0047689043676436785,
      -0.004798407229513021,
      -0.0048274107759008165,
      -0.004855923475316864,
      -0.0048839535612020665,
      -0.004911509261660438,
      -0.004938598621669897,
      -0.004965229591896511,
      -0.004991409881871609,
      -0.005017147123970326,
      -0.0050424488394557754,
      -0.005067322411054546,
      -0.005091775079957713,
      -0.005115813948894524,
      -0.005139446016304091,
      -0.005162678082945352,
      -0.005185516924974067,
      -0.005207969256927575,
      -0.005230041624431826,
      -0.005251740563671421,
      -0.005273072289688114
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334213599447995,
      10.091771471188837,
      9.842272584279996,
      9.588600761807626,
      9.333409185777336,
      9.078998347787303,
      8.82728386278734,
      8.579778476802478,
      8.337591778135998,
      8.101456095087926,
      7.871766587287596,
      7.648631696382575,
      7.43192924784922,
      7.221363444303559,
      7.016519054771063,
      6.816910218751244,
      6.622022529059603,
      6.43134821662074,
      6.244413605639331,
      6.06079990126296,
      5.880156523674294,
      5.702196292302004,
      5.526694513970201,
      5.353510878798247,
      5.182571486907083,
      5.013881645984964,
      4.847564672567597,
      4.683844929228496,
      4.5230032488291085,
      4.365349877455411,
      4.211228788898608,
      4.061018352147097,
      3.9150962261152746,
      3.7738223301859137,
      3.6375280613411567,
      3.506505442685309,
      3.3809972466296,
      3.2611915300371375,
      3.147217925031355,
      3.0391331578826066,
      2.9369162540671105,
      2.84047708569041,
      2.7496363293836272,
      2.66414297213155,
      2.5837310792006902,
      2.5081310470326073,
      2.4370716672514128,
      2.3702857390795127,
      2.3075010768514095,
      2.2484196216323444,
      2.192664156551947,
      2.1398745811088173,
      2.0897186231165836,
      2.0418844502936038,
      1.9961011713799963,
      1.9521423073361537,
      1.909825759180051,
      1.8689952569712613,
      1.829521016485246,
      1.7912881809981238,
      1.7541988283021828,
      1.7181745962558865,
      1.683151172601684,
      1.6490788055331338,
      1.6159169665248039,
      1.5836281334102347,
      1.552177314448599,
      1.5215323284680335,
      1.4916631881709297,
      1.4625412688515718,
      1.434139281018651,
      1.406431224157715,
      1.3793932474317652,
      1.3530015652572933,
      1.3272315073080472,
      1.3020602393086833,
      1.2774666449506857,
      1.253431001900652,
      1.2299347572087493,
      1.206960367472971,
      1.1844911836530738,
      1.1625113627710713,
      1.1410060808019569,
      1.1199622712888706,
      1.0993676570947901,
      1.0792105108982948,
      1.0594791118477416,
      1.040161832865615,
      1.021247271601281,
      1.0027243261609045,
      0.9845822363221916,
      0.9668106016814774,
      0.9493993861974419,
      0.932338915357292,
      0.9156198665647767,
      0.8992332582050769,
      0.8831704364623749,
      0.8674230621504923,
      0.8519830971564963,
      0.8368427910481121,
      0.8219946675665389,
      0.8074315125959832,
      0.7931463621402048,
      0.7791324909843207,
      0.765383401773128,
      0.7518928144014828,
      0.7386546569560133,
      0.7256630561822596,
      0.7129123287254858,
      0.7003969728352996,
      0.6881116605217655,
      0.676051230046004,
      0.6642106791793128,
      0.6525851582629799,
      0.6411699636971189,
      0.6299605320261046,
      0.6189524347058869,
      0.6081413718567652,
      0.5975231674954029,
      0.587093732415121,
      0.5768495310860507,
      0.5667877872278243,
      0.5569055137706577,
      0.5471995104785102,
      0.5376664778550648,
      0.528303087130772,
      0.5191060236623862,
      0.5100720123900875,
      0.5011978336649974,
      0.4924803321039367,
      0.48391642028988163,
      0.4755030810532971,
      0.4672373676600238,
      0.4591164031079099,
      0.4511373786588703,
      0.4432975524432397,
      0.4355944713195951,
      0.4280259230404403,
      0.42058961121188226,
      0.4132831869696733,
      0.4061042894357479,
      0.39905056979120357,
      0.39211970639476157,
      0.3853094136094083,
      0.37861744675117226,
      0.3720416048213792,
      0.36557974966216483,
      0.35922992408592164,
      0.35299023274188,
      0.3468587516330663,
      0.34083355483341704,
      0.33491273023824547,
      0.3290943895647001,
      0.32337667325728103,
      0.3177577541559374,
      0.31223584893823525,
      0.3068092417667214,
      0.30147624288958147,
      0.29623518245160574,
      0.29108441508918925,
      0.28602232298901215,
      0.2810473173775223,
      0.27615783907563035,
      0.2713523588017037,
      0.26662937661873115,
      0.26198742177572865,
      0.25742505208274535,
      0.2529408535347874,
      0.24853343948753412,
      0.2442014503285146,
      0.23994355253843,
      0.2357583168132258,
      0.2316442196811935,
      0.22759984208500267,
      0.223623857297208,
      0.21971500512692382,
      0.21587207555883509,
      0.21209389792473893,
      0.2083793341579282,
      0.20472743965574489,
      0.20113758051460293,
      0.19760902297526642,
      0.19414091634425631,
      0.19073228454429697,
      0.1873820498090476,
      0.18408915740679435,
      0.180852585082325,
      0.17767133733050214,
      0.17454444210930287,
      0.17147094856823633,
      0.16844992538524972,
      0.16548045954786275,
      0.16256165541584627,
      0.15969263433682107,
      0.1568725338291844,
      0.15410050711137252,
      0.1513757229910332,
      0.14869736510221587,
      0.14606463202827186,
      0.1434767366327575,
      0.14093290588773377,
      0.13843238062713015,
      0.13597441502150903,
      0.1335582766633329,
      0.13118324626544273,
      0.12884861714356424,
      0.12655369521338966,
      0.12429779859944669,
      0.12208025746513922,
      0.11990041382879553,
      0.11775762132114587,
      0.11565124486438197,
      0.11358066062868792,
      0.11154525560411283,
      0.10954442756985772,
      0.10757758486924081,
      0.10564414615520222,
      0.10374354029038367,
      0.10187520603899533,
      0.10003859193143977,
      0.09823315617405863,
      0.09645836636867519,
      0.09471369933987694,
      0.09299864103845373,
      0.09131268622731681,
      0.08965533851601593,
      0.0880261101390978,
      0.08642452172943453,
      0.08485010222228262,
      0.0833023886645584,
      0.0817809260934077,
      0.08028526736052026,
      0.0788149731203817,
      0.0773696115666987,
      0.07594875827790766,
      0.07455199611459382,
      0.0731789152321793,
      0.07182911282370172,
      0.07050219291369021,
      0.06919776638962938,
      0.06791545078466278,
      0.06665487022135978,
      0.06541565525879098,
      0.06419744279748595,
      0.06299987591295192,
      0.06182260395626655,
      0.06066528216892856,
      0.05952757147227646,
      0.05840913876118563,
      0.057309656685359874,
      0.0562288035574986,
      0.055166263084965826,
      0.05412172437263326,
      0.05309488194622042,
      0.05208543536331782,
      0.0510930893613821,
      0.0501175538664949,
      0.049158543550611555,
      0.048215778106605,
      0.047288981953753216,
      0.046377884107254255,
      0.04548221824968608,
      0.044601722715364,
      0.04373614026620673,
      0.04288521790023996,
      0.04204870705524823,
      0.041226363389482185,
      0.04041794676715782,
      0.039623220947093765,
      0.03884195389178856,
      0.038073917353722876,
      0.03731888706174311,
      0.03657664262365007,
      0.03584696731614221,
      0.035129648004015565,
      0.03442447534593408,
      0.03373124351255082,
      0.03304975012814985,
      0.03237979625083924,
      0.031721186416942215,
      0.031073728380404494,
      0.030437233221392034,
      0.029811515174844077,
      0.029196391629959458,
      0.02859168301503834,
      0.02799721286561523,
      0.027412807809142126,
      0.02683829746647271,
      0.02627351405296339,
      0.025718292861271728,
      0.025172471922507208,
      0.02463589196460274,
      0.024108396387326,
      0.023589831425594458,
      0.02308004584708296,
      0.022578890971070673,
      0.02208622062730379,
      0.021601891111957486,
      0.021125761159517836,
      0.02065769186684365,
      0.020197546651760795,
      0.019745191424673934,
      0.019300494158468094,
      0.018863325256059434,
      0.01843355722715692,
      0.018011064754915936,
      0.01759572472048056,
      0.017187415936831395,
      0.016786019341852976,
      0.01639141779275863,
      0.016003496332143125,
      0.015622141947419257,
      0.01524724335043233,
      0.01487869116482201,
      0.014516377993522999,
      0.014160198175741105,
      0.013810047945372163,
      0.01346582513851927,
      0.013127429403805454,
      0.012794762139854893,
      0.0124677263244247,
      0.01214622664334507,
      0.011830169313788916,
      0.011519462212591172,
      0.011214014787017975,
      0.010913738007268112,
      0.010618544284475624,
      0.010328347508057662,
      0.010043063191470272,
      0.00976260814056059,
      0.009486900687315074,
      0.009215860401100472,
      0.008949408256745539,
      0.00868746640697905,
      0.00842995869781401,
      0.008176810038841967,
      0.007927946611264983,
      0.007683295851736418,
      0.007442786447610228,
      0.007206348241453747,
      0.006973912350345233,
      0.006745411054311937,
      0.006520777766471428,
      0.006299946911126067,
      0.0060828541565834,
      0.005869436289821847,
      0.005659631089218315,
      0.005453377385773112,
      0.005250615013907347,
      0.005051284848834778,
      0.004855328867145534,
      0.004662689906239,
      0.004473311783656035,
      0.004287139337377421,
      0.004104118317313368,
      0.0039241953823352035,
      0.0037473180881408734,
      0.0035734348468502678,
      0.0034024950998172068,
      0.0032344489408917183,
      0.003069247340693988,
      0.002906842163805163,
      0.0027471861389952645,
      0.002590232673514466,
      0.002435935969302125,
      0.0022842510977020875,
      0.002135133842070235,
      0.0019885406832865615,
      0.0018444290042089445,
      0.0017027568587718125,
      0.0015634828073041484,
      0.0014265663456149273,
      0.0012919674721194022,
      0.0011596468555882407,
      0.0010295661703763864,
      0.0009016874115385643,
      0.0007759733502981596,
      0.0006523873747371332,
      0.0005308934607975229,
      0.0004114561645194205,
      0.0002940405718527509,
      0.00017861243508757066,
      6.513813380310279e-05,
      -4.641542528314924e-05,
      -0.00015608057551004612,
      -0.00026388945640125946,
      -0.00036987348425549925,
      -0.0004740635267491655,
      -0.0005764898967236925,
      -0.0006771824012262386,
      -0.0007761704075805692,
      -0.0008734827489051264,
      -0.0009691478690611895,
      -0.0010631936225864835,
      -0.0011556474158091442,
      -0.0012465362700687407,
      -0.0013358865714310029,
      -0.0014237244224583254,
      -0.0015100754392600886,
      -0.0015949647504088914,
      -0.001678417038192032,
      -0.0017604567310591868,
      -0.0018411077560258366,
      -0.001920393556093828,
      -0.0019983372716039414,
      -0.0020749616718212095,
      -0.002150289104509573,
      -0.0022243414310887046,
      -0.002297140233199744,
      -0.0023687066556103025,
      -0.0024390616293778326,
      -0.0025082256677336403,
      -0.0025762189337656125,
      -0.002643061192531014,
      -0.002708772002977732,
      -0.0027733705340423666,
      -0.002836875500003831,
      -0.0028993055137644403,
      -0.002960678829144556,
      -0.0030210133043542947,
      -0.0030803264532255287,
      -0.003138635526485939,
      -0.0031959575541487977,
      -0.003252309291394386,
      -0.003307707112751349,
      -0.0033621672163735863,
      -0.0034157054583423265,
      -0.003468337453353285,
      -0.0035200784579073863,
      -0.0035709436081463033,
      -0.0036209477057743797,
      -0.0036701053335848476,
      -0.0037184309189789433,
      -0.003765938523376298,
      -0.0038126420247318574,
      -0.0038585549874973137,
      -0.003903690741476525,
      -0.0039480624720054,
      -0.003991683183011275,
      -0.004034565461564573,
      -0.004076721794549199,
      -0.004118164477776445,
      -0.004158905645058295,
      -0.004198957188902833,
      -0.00423833076235669,
      -0.004277037837641809,
      -0.004315089630212364,
      -0.004352497295685314,
      -0.0043892717953008045,
      -0.0044254238435980685,
      -0.004460963931418861,
      -0.004495902430703255,
      -0.004530249546207946,
      -0.004564015279227777,
      -0.004597209460369495,
      -0.004629841750080565,
      -0.004661921644813747,
      -0.004693458495128411,
      -0.004724461459690868,
      -0.004754939624124402,
      -0.004784901813768617,
      -0.004814356812977608,
      -0.004843313196030184,
      -0.004871779456177042,
      -0.00489976391811834,
      -0.004927274700775967,
      -0.004954319717280181,
      -0.004980906852433809,
      -0.005007043987196603,
      -0.005032738807073608,
      -0.0050579985713273675,
      -0.005082830688882562,
      -0.0051072424225973075,
      -0.005131240956179252,
      -0.005154833295048399,
      -0.00517802632581608,
      -0.005200826760504999,
      -0.005223241245491592,
      -0.005245276362323987,
      -0.005266938500850134,
      -0.005288233954215206
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334211294963946,
      10.091761171326246,
      9.842249051935525,
      9.58855934578426,
      9.333345846497476,
      9.07891028648089,
      8.827169320015535,
      8.579636421417966,
      8.33742170903977,
      8.101257886223006,
      7.8715403806948165,
      7.648377705000527,
      7.431647720354267,
      7.221054642876522,
      7.016183239466636,
      6.816547650926468,
      6.621633518916489,
      6.430933170790466,
      6.243973005266078,
      6.060334341579947,
      5.8796667842098005,
      5.701683420697096,
      5.526159774095229,
      5.352955758085885,
      5.181997592941994,
      5.01329101223147,
      4.846960305142541,
      4.683230070160742,
      4.522381194418754,
      4.364723990872558,
      4.21060272839856,
      4.060395822140273,
      3.914480769648499,
      3.7732172650323195,
      3.6369364234673363,
      3.5059299472830348,
      3.3804402500356687,
      3.260655004103544,
      3.1467033628314005,
      3.0386414487299334,
      2.93644775987681,
      2.84003175912968,
      2.7492133966084,
      2.66374126805077,
      2.5833493013698376,
      2.507767660688255,
      2.436725146668388,
      2.369954619441842,
      2.307183759705186,
      2.2481142555294618,
      2.192368597808184,
      2.139586749943683,
      2.0894364164981556,
      2.041606143988774,
      1.9958254185563522,
      1.9518681118004235,
      1.9095523832664965,
      1.868722152802621,
      1.8292477326902135,
      1.791014296402745,
      1.753924063005202,
      1.7178987678271993,
      1.6828743368356287,
      1.6488013639055077,
      1.6156392090056149,
      1.5833502514415276,
      1.5518994429966764,
      1.521254572025583,
      1.4913856166912614,
      1.4622639305409313,
      1.433862209693303,
      1.4061544464460802,
      1.379116797295195,
      1.352725487064121,
      1.3269558392249514,
      1.301785010006175,
      1.2771918770025255,
      1.2531567143496776,
      1.2296609666885807,
      1.2066870897176192,
      1.1842184339703996,
      1.1622391565494388,
      1.140734441576754,
      1.1196912338754652,
      1.099097259528485,
      1.0789407872859291,
      1.0592100898804557,
      1.0398935356290564,
      1.0209797190565135,
      1.0024575364499593,
      0.9843162268497835,
      0.966545389108656,
      0.9491349870792322,
      0.9320753455925959,
      0.9153571418461206,
      0.8989713939931653,
      0.8829094483513397,
      0.8671629657092967,
      0.8517239081111456,
      0.8365845247877929,
      0.8217373394996182,
      0.8071751377793693,
      0.7928909555046835,
      0.7788780674955539,
      0.7651299758667224,
      0.7516404005750057,
      0.7384032695594092,
      0.7254127096031433,
      0.712663037003253,
      0.7001487492882176,
      0.687864518277032,
      0.6758051821765353,
      0.6639657383974984,
      0.6523413368828515,
      0.6409272738660986,
      0.6297189858694602,
      0.6187120437497479,
      0.6079021473816769,
      0.5972851207021851,
      0.5868568736665063,
      0.5766139469104276,
      0.5665535654941612,
      0.5566727109694201,
      0.5469681633765514,
      0.5374366101950526,
      0.5280747147812068,
      0.518879156934899,
      0.5098466585354435,
      0.5009739979018573,
      0.49225801804853336,
      0.4836956306024784,
      0.4752838175150922,
      0.4670196314699817,
      0.45890019509484614,
      0.4509226995118401,
      0.4430844025285961,
      0.43538287209207505,
      0.42781589587969576,
      0.420381168500054,
      0.4130763354412706,
      0.40589903200196314,
      0.3988469070414735,
      0.39191763729606105,
      0.38510893617050174,
      0.37841855822102316,
      0.3718443018046594,
      0.3653840328566012,
      0.3590357998566402,
      0.35279770304120633,
      0.3466678155063084,
      0.3406442095786388,
      0.33472497209879204,
      0.3289082135871871,
      0.32319207403306127,
      0.31757472601110476,
      0.31205438712368366,
      0.30662934200918396,
      0.30129789983468636,
      0.29605838990666233,
      0.2909091664894695,
      0.285848611516896,
      0.28087513598895636,
      0.27598718056199295,
      0.2711832156203635,
      0.2664617411012261,
      0.26182128613080524,
      0.2572604085109487,
      0.25277769404893874,
      0.24837175606133932,
      0.2440412347507546,
      0.23978479654510995,
      0.23560101916356438,
      0.2314883794423625,
      0.22744545563422655,
      0.22347091905057817,
      0.21956350833579358,
      0.21572201270625002,
      0.21194526105416003,
      0.2082321150336126,
      0.20458162177948075,
      0.20099314669483842,
      0.19746595897075123,
      0.19399920991528571,
      0.190591921101309,
      0.18724301544264563,
      0.18395143998465466,
      0.1807161734827706,
      0.1775362212007807,
      0.1744106116196543,
      0.17133839416093533,
      0.1683186376767399,
      0.16535042912233333,
      0.1624328731210584,
      0.15956509085478812,
      0.15674621980549186,
      0.1539754133413837,
      0.15125184014775403,
      0.14857468396571627,
      0.14594314333347877,
      0.14335643105016813,
      0.1408137740798036,
      0.13831441324056576,
      0.13585760278698938,
      0.13344261024099566,
      0.13106871628044728,
      0.12873521424662093,
      0.12644141003285592,
      0.12418662190284133,
      0.12197017994555913,
      0.1197914262218412,
      0.1176497143434279,
      0.11554440931697692,
      0.11347488722059659,
      0.1114405351569609,
      0.10944075083483198,
      0.10747494252792565,
      0.10554252901695804,
      0.10364293926129411,
      0.1017756120017407,
      0.09993999568843943,
      0.09813554858114837,
      0.09636173833484925,
      0.09461804185942346,
      0.09290394508271528,
      0.09121894289745228,
      0.08956253890312857,
      0.0879342453245079,
      0.08633358275266771,
      0.08476008018589137,
      0.08321327480674749,
      0.08169271167066866,
      0.08019794359665113,
      0.07872853130194156,
      0.07728404302685883,
      0.07586405445076262,
      0.07446814850049463,
      0.07309591535370823,
      0.0717469521911786,
      0.07042086316239438,
      0.06911725911188314,
      0.06783575766723893,
      0.06657598298260661,
      0.06533756569089269,
      0.06412014277084602,
      0.06292335730743309,
      0.06174685858631176,
      0.06059030182572156,
      0.0594533482076926,
      0.05833566470829898,
      0.05723692411809453,
      0.0561568046701891,
      0.05509499018540958,
      0.054051169843536105,
      0.05302503809855262,
      0.05201629457862107,
      0.05102464416794762,
      0.050049796678567494,
      0.04909146695421897,
      0.048149374758121664,
      0.04722324449441634,
      0.04631280532601183,
      0.04541779104922887,
      0.04453793989717308,
      0.043672994712690705,
      0.042822702627052754,
      0.04198681500925982,
      0.04116508754276862,
      0.04035728008962269,
      0.03956315669777191,
      0.038782485318951954,
      0.038015037808962114,
      0.037260589916859314,
      0.036518921327845164,
      0.03578981528806031,
      0.03507305876513666,
      0.03436844255926154,
      0.03367576080541645,
      0.03299481125825738,
      0.032325395037532054,
      0.03166731658339644,
      0.031020383701426655,
      0.03038440755001733,
      0.029759202532712373,
      0.02914458607616875,
      0.02854037872470145,
      0.02794640416456646,
      0.027362488910249453,
      0.02678846240244859,
      0.02622415720660268,
      0.025669408650743995,
      0.02512405471624379,
      0.024587936211938846,
      0.024060896736724555,
      0.023542782494034447,
      0.023033442294443148,
      0.022532727479268155,
      0.022040491835045476,
      0.021556591765638212,
      0.021080886054385743,
      0.020613235820253515,
      0.020153504654973023,
      0.019701558483057158,
      0.019257265386666677,
      0.01882049573792131,
      0.018391122155632232,
      0.017969019368746102,
      0.01755406419014042,
      0.01714613554917764,
      0.016745114354633252,
      0.01635088363210728,
      0.015963328536564913,
      0.01558233591496676,
      0.015207794638886364,
      0.014839595429777534,
      0.014477630818604726,
      0.014121795284469699,
      0.013771984942507054,
      0.013428097881142128,
      0.013090033666682679,
      0.012757693840723245,
      0.012430981381015258,
      0.012109800938153526,
      0.011794058906835657,
      0.01148366322440243,
      0.011178523276781923,
      0.010878550026555023,
      0.010583656001025375,
      0.010293755228901965,
      0.010008763106589666,
      0.009728596562552969,
      0.00945317388420422,
      0.009182414683506248,
      0.008916240026956679,
      0.008654572304068225,
      0.008397335164467914,
      0.008144453568268909,
      0.007895853771511432,
      0.007651463304254911,
      0.007411210844884618,
      0.007175026334960543,
      0.006942840920365555,
      0.006714586852964641,
      0.006490197555613425,
      0.006269607596217108,
      0.006052752704365322,
      0.005839569640198179,
      0.005629996079571067,
      0.00542397096761117,
      0.005221434304517321,
      0.005022326960922926,
      0.00482659089756718,
      0.004634168988174807,
      0.004445005164511461,
      0.004259044272370428,
      0.004076232116058944,
      0.0038965152839045896,
      0.003719841288304682,
      0.0035461586588070412,
      0.0033754168227768636,
      0.003207565995855151,
      0.00304255718348107,
      0.0028803422435138234,
      0.002720873862747887,
      0.0025641055617646666,
      0.002409991646010127,
      0.0022584871282742983,
      0.0021095477811079863,
      0.001963130166867667,
      0.0018191917215112754,
      0.0016776904665474024,
      0.0015385849907762186,
      0.001401834802945094,
      0.0012674000198927126,
      0.001135241490193522,
      0.0010053206912566033,
      0.0008775996098329757,
      0.0007520410635232201,
      0.0006286084848596574,
      0.0005072658985965698,
      0.0003879778951265034,
      0.00027070965661462796,
      0.0001554270049760052,
      4.209626765965507e-05,
      -6.931562568521314e-05,
      -0.00017884115208180104,
      -0.0002865121634815771,
      -0.0003923601075916784,
      -0.0004964158647745616,
      -0.0005987097995073589,
      -0.0006992718031612972,
      -0.0007981311188394362,
      -0.0008953166087659933,
      -0.000990856657591168,
      -0.0010847791249611117,
      -0.001177111308553687,
      -0.0012678800703161415,
      -0.0013571120118428203,
      -0.0014448330889385956,
      -0.0015310688792715388,
      -0.0016158445614321748,
      -0.001699184823229102,
      -0.0017811140031542745,
      -0.0018616559759123727,
      -0.0019408342081906878,
      -0.0020186717804912407,
      -0.0020951913698015294,
      -0.0021704153004719665,
      -0.0022443656317895347,
      -0.0023170638688852904,
      -0.0023885312578030594,
      -0.002458788588871446,
      -0.0025278563162483615,
      -0.0025957545749272313,
      -0.0026625031258513177,
      -0.0027281214527010303,
      -0.0027926288065888345,
      -0.002856043989020527,
      -0.0029183855275974847,
      -0.002979671462323241,
      -0.0030399196900944754,
      -0.0030991478122347825,
      -0.00315737305095033,
      -0.0032146124379084447,
      -0.003270882677378011,
      -0.0033262001546852347,
      -0.0033805809433112848,
      -0.0034340410333271437,
      -0.0034865959233314468,
      -0.0035382609869733382,
      -0.0035890512720833647,
      -0.0036389816681948834,
      -0.003688066653219847,
      -0.003736320572882753,
      -0.0037837574107951366,
      -0.003830391021527595,
      -0.0038762350450549012,
      -0.003921302915707643,
      -0.003965607781406801,
      -0.004009162427959306,
      -0.00405197959661043,
      -0.004094071843070929,
      -0.004135451395949235,
      -0.004176130300291023,
      -0.004216120439476611,
      -0.004255433460827274,
      -0.004294080808730011,
      -0.004332073845908665,
      -0.004369423554370915,
      -0.004406140801450341,
      -0.004442236305945631,
      -0.004477720616617238,
      -0.004512604153588608,
      -0.0045468971220671735,
      -0.00458060952061405,
      -0.00461375114852769,
      -0.004646331599902383,
      -0.004678360364822883,
      -0.00470984684119935,
      -0.004740800187234461,
      -0.004771229446242608,
      -0.004801143595167206,
      -0.004830551312473181,
      -0.0048594610503868135,
      -0.004887881239901208,
      -0.004915820139352143,
      -0.004943285930531604,
      -0.004970286655220148,
      -0.004996830183297956,
      -0.0050229242563834,
      -0.005048576524423226,
      -0.00507379456314049,
      -0.00509858565574979,
      -0.005122956923163309,
      -0.00514691547920526,
      -0.005170468369632305,
      -0.005193622485130971,
      -0.005216384543935823,
      -0.0052387611054205184,
      -0.005260758837611244,
      -0.0052823840344204025,
      -0.0053036431112350076
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334208992616126,
      10.091750882238905,
      9.842225544462694,
      9.588517965970635,
      9.333282553891225,
      9.078822284099038,
      8.827054850252058,
      8.57949445283722,
      8.33725174071706,
      8.101059806568644,
      7.871314351421937,
      7.648123954764263,
      7.431366490560812,
      7.220746189244766,
      7.01584781518388,
      6.816185511633788,
      6.621244976617783,
      6.430518626119014,
      6.243532933882756,
      6.059869336494646,
      5.879177622575448,
      5.701171150060991,
      5.525625658571239,
      5.352401285108271,
      5.181424368811777,
      5.012701070915735,
      4.846356627293996,
      4.682615876900875,
      4.521759788333896,
      4.364098740107227,
      4.209977294241918,
      4.059773912829421,
      3.913865930198393,
      3.772612814758917,
      3.636345400291813,
      3.505355066456706,
      3.3798838667202236,
      3.26011908902107,
      3.146189407832625,
      3.03815034187457,
      2.9359798612468624,
      2.839587020102989,
      2.7487910426915954,
      2.6633401340263774,
      2.5829680853139836,
      2.5074048265571807,
      2.4363791689224223,
      2.3696240332199783,
      2.3068669657840988,
      2.2478094024490596,
      2.1920735422948385,
      2.1392994117418964,
      2.089154693154821,
      2.041328312983599,
      1.9955501339107367,
      1.951594378071944,
      1.9092794637489936,
      1.8684495008581337,
      1.8289748975202835,
      1.79074085767709,
      1.7536497419843111,
      1.7176233824898375,
      1.6825979767077837,
      1.6485244474525989,
      1.6153620090548153,
      1.58307294769325,
      1.5516221630676086,
      1.5209774150637843,
      1.4911086492604018,
      1.4619871982930177,
      1.4335857450803011,
      1.4058782807010783,
      1.3788409663589736,
      1.3524500325239692,
      1.3266807973492365,
      1.3015104077860726,
      1.2769177362607849,
      1.2528830535409812,
      1.2293878022226192,
      1.2064144376193895,
      1.1839463099457102,
      1.1619675758791712,
      1.140463427843852,
      1.1194208210282086,
      1.0988274858525025,
      1.0786716871859492,
      1.0589416904257918,
      1.0396258594805128,
      1.0207127865555683,
      1.0021913665675164,
      0.9840508368434688,
      0.9662807956861179,
      0.9488712063723858,
      0.9318123935722658,
      0.915095034414233,
      0.8987101470587798,
      0.8826490777890498,
      0.8669034871999657,
      0.8514653370691027,
      0.8363268765775705,
      0.8214806292819443,
      0.8069193807497255,
      0.7926361666603671,
      0.7786242613885966,
      0.7648771672583774,
      0.751388604136916,
      0.7381524995117048,
      0.7251629795421553,
      0.7124143605047951,
      0.6999011399902663,
      0.6876179899266553,
      0.6755597479537989,
      0.663721411244714,
      0.6520981294672114,
      0.6406851982004038,
      0.629478053430844,
      0.6184722658924149,
      0.6076635353836934,
      0.5970476852439116,
      0.5866206248582236,
      0.576378971269575,
      0.5663199513487006,
      0.5564405149263524,
      0.5467374219247799,
      0.5372073473964866,
      0.5278469462246028,
      0.5186528933246418,
      0.5096219070433385,
      0.5007507635509795,
      0.4920363044216343,
      0.48347544015733485,
      0.4750651522711862,
      0.46680249300004206,
      0.45868458440708926,
      0.45070861705199255,
      0.44287184835219967,
      0.4351718674770759,
      0.4276064621112899,
      0.4201733180238491,
      0.4128700748568073,
      0.4056943640647744,
      0.3986438322139218,
      0.3917161545992232,
      0.3849090435678853,
      0.37822025291853484,
      0.3716475803399314,
      0.3651888961161564,
      0.3588422544851898,
      0.35260575091664764,
      0.3464774557162833,
      0.34045543924911675,
      0.3345377871236379,
      0.32872260913372137,
      0.32300804490208035,
      0.31739226649635915,
      0.3118734928004733,
      0.306450008255223,
      0.30112012116219944,
      0.29588216025552416,
      0.29073447937569474,
      0.28567546008814276,
      0.28070351312736913,
      0.2758170789837763,
      0.27101462789625247,
      0.2662946596621897,
      0.2616557032450356,
      0.25709631632256474,
      0.2526150846016504,
      0.248210621256261,
      0.24388156645476577,
      0.23962658654479047,
      0.23544426624137288,
      0.23133308269972835,
      0.22729161118800062,
      0.22331852147344503,
      0.21941255104579746,
      0.21557248816032792,
      0.21179716133120027,
      0.20808543176586103,
      0.20443633841046618,
      0.2008492461751322,
      0.19732342708444867,
      0.1938580343947115,
      0.19045208733881192,
      0.1871045092661637,
      0.1838142492622823,
      0.18058028714017935,
      0.17740162897970638,
      0.17427730370486896,
      0.17120636104381887,
      0.1681878699047373,
      0.16522091739158,
      0.16230460813948916,
      0.15943806344067143,
      0.15662042073728427,
      0.1538508333533335,
      0.15112847006463748,
      0.14845251450032543,
      0.14582216507403956,
      0.14323663475230394,
      0.14069515044947412,
      0.13819695291995207,
      0.1357412964672623,
      0.1333274486283113,
      0.13095469006797,
      0.12862231424533443,
      0.12632962699704214,
      0.12407594638665748,
      0.12186060269331928,
      0.11968293786472103,
      0.11754230558554504,
      0.1154380707717417,
      0.11336960960253598,
      0.11133630912393772,
      0.10933756711574148,
      0.10737279201253758,
      0.10544140250907122,
      0.10354282752363153,
      0.10167650586426605,
      0.09984188628409282,
      0.09803842688880234,
      0.09626559530096292,
      0.09452286838522557,
      0.09280973206858138,
      0.09112568130616577,
      0.08947021979791996,
      0.08784285980514756,
      0.08624312196507808,
      0.08467053525867062,
      0.08312463683821028,
      0.08160497190955199,
      0.08011109345183576,
      0.07864256213627695,
      0.0771989462814318,
      0.0757798215276548,
      0.0743847708902386,
      0.07301338460724231,
      0.07166525981858324,
      0.07034000063002134,
      0.06903721807471358,
      0.06775652983291998,
      0.06649756010933186,
      0.06525993956584743,
      0.06404330523051223,
      0.06284730025795124,
      0.06167157392192904,
      0.06051578155131696,
      0.05937958434800879,
      0.05826264943369252,
      0.05716464954944154,
      0.05608526300193996,
      0.05502417351595479,
      0.05398107042195348,
      0.05295564826632163,
      0.051947606842486733,
      0.050956651024859634,
      0.04998249060613466,
      0.04902484059847857,
      0.048083420730438,
      0.04715795542582823,
      0.04624817393448361,
      0.04535381016558728,
      0.0444746024504023,
      0.04361029358829286,
      0.042760630840150256,
      0.04192536562354237,
      0.041104253643904784,
      0.04029705478391077,
      0.0395035331556167,
      0.038723456799523985,
      0.037956597614836725,
      0.03720273147012262,
      0.036461637985517666,
      0.0357331005199989,
      0.035016906243287925,
      0.034312845884954424,
      0.03362071359915354,
      0.0329403072494686,
      0.032271427982961565,
      0.031613880281214535,
      0.030967472036910172,
      0.030332014554686752,
      0.02970732211296427,
      0.02909321223131426,
      0.028489505593667898,
      0.027896025774006704,
      0.0273125994566847,
      0.026739056223230976,
      0.026175228624356436,
      0.02562095199594035,
      0.0250760643749511,
      0.0245404066993204,
      0.02401382265660705,
      0.02349615835248532,
      0.02298726260550285,
      0.022486986896300645,
      0.021995185117103192,
      0.021511713686994626,
      0.021036431543174455,
      0.0205691999070372,
      0.020109882344987097,
      0.01965834474952007,
      0.01921445529117464,
      0.018778084366556702,
      0.018349104536003046,
      0.017927390558860817,
      0.017512819411628463,
      0.017105270136912695,
      0.016704623725569474,
      0.016310763331194047,
      0.015923573920255014,
      0.015542942502061119,
      0.015168757978377025,
      0.01480091118536569,
      0.014439294649764485,
      0.01408380283581916,
      0.013734332043234737,
      0.013390780223158445,
      0.013053047118820306,
      0.012721034139678488,
      0.012394644439106409,
      0.012073782789126833,
      0.011758355493221491,
      0.011448270591412594,
      0.01114343758231017,
      0.010843767468989537,
      0.010549172785074435,
      0.010259567468089446,
      0.00997486714528444,
      0.009694988611737588,
      0.00941985033741008,
      0.009149371867232392,
      0.00888347428177693,
      0.008622080078171073,
      0.008365113019047065,
      0.008112498024115343,
      0.007864161479901124,
      0.0076200309445264664,
      0.007380035092536726,
      0.0071441038994281844,
      0.0069121684748269735,
      0.006684161193161572,
      0.006460015510861476,
      0.0062396660232116345,
      0.006023048449644084,
      0.005810099541168513,
      0.005600757161714657,
      0.005394960216061187,
      0.00519264868401669,
      0.004993763601109568,
      0.004798246789105703,
      0.004606041282870548,
      0.004417090998302115,
      0.004231340849833059,
      0.004048736661232503,
      0.0038692251882874577,
      0.0036927538971629325,
      0.0035192713689385633,
      0.003348726995940092,
      0.003181071005659745,
      0.003016254456291657,
      0.002854229305604924,
      0.002694948183834629,
      0.002538364666096259,
      0.0023844330071406254,
      0.0022331083119015295,
      0.0020843465563911744,
      0.0019381042239857954,
      0.0017943386627369187,
      0.0016530079304729313,
      0.001514070725530619,
      0.001377486593962103,
      0.001243215757585139,
      0.001111218862526182,
      0.0009814574672830055,
      0.0008538937899982139,
      0.000728490560152513,
      0.0006052111203399613,
      0.00048401954955564494,
      0.000364880496650916,
      0.0002477592705355518,
      0.0001326216659806892,
      1.943402649708971e-05,
      -9.183670990228943e-05,
      -0.00020122299388826304,
      -0.0003087567224226702,
      -0.00041446917948961695,
      -0.0005183911906913788,
      -0.0006205532060655222,
      -0.0007209850762047795,
      -0.0008197160612202787,
      -0.0009167749264926329,
      -0.0010121900239924452,
      -0.0011059891172699669,
      -0.0011981995539387422,
      -0.0012888483412591492,
      -0.0013779619215371715,
      -0.0014655662884351327,
      -0.001551687057484582,
      -0.0016363492929020898,
      -0.0017195776569772052,
      -0.0018013964050992738,
      -0.0018818294173779892,
      -0.0019609002350593654,
      -0.0020386319750022378,
      -0.002115047235769336,
      -0.0021901683265759878,
      -0.0022640171255543197,
      -0.002336615204069898,
      -0.0024079836695095266,
      -0.0024781433691079685,
      -0.0025471148954089888,
      -0.002614918374502504,
      -0.0026815736595813895,
      -0.0027470999953904045,
      -0.0028115164373031147,
      -0.0028748418688355156,
      -0.0029370947895702385,
      -0.002998293457747206,
      -0.0030584557328685587,
      -0.003117599075992016,
      -0.0031757407773918586,
      -0.0032328977951043138,
      -0.0032890867262907195,
      -0.003344324057044844,
      -0.0033986258386382606,
      -0.0034520079989381713,
      -0.003504486118769198,
      -0.0035560755502378498,
      -0.0036067912160098027,
      -0.003656647877992512,
      -0.0037056600681220405,
      -0.003753842075351331,
      -0.0038012080270958047,
      -0.0038477718431399175,
      -0.0038935470866269264,
      -0.003938547036297628,
      -0.003982784929675474,
      -0.004026273722187588,
      -0.004069026036408541,
      -0.004111054224297002,
      -0.004152370612903017,
      -0.004192987221834721,
      -0.0042329159952367535,
      -0.004272168549387015,
      -0.004310756320352657,
      -0.004348690475062512,
      -0.004385982152443807,
      -0.0044226422527914805,
      -0.004458681429487051,
      -0.004494110251879634,
      -0.004528939087678714,
      -0.004563178086338971,
      -0.004596837155351095,
      -0.004629926260050484,
      -0.004662455023617876,
      -0.004694432809543606,
      -0.004725869012838991,
      -0.004756772715133103,
      -0.004787152974746688,
      -0.0048170187925249755,
      -0.004846378816143789,
      -0.00487524161598073,
      -0.004903615629532758,
      -0.004931509143787846,
      -0.004958930283193099,
      -0.004985886946012032,
      -0.005012387071699477,
      -0.005038438422645886,
      -0.005064048544686372,
      -0.005089224879965216,
      -0.005113974776860889,
      -0.005138305449031823,
      -0.00516222402271015,
      -0.005185737507541224,
      -0.005208852836672881,
      -0.005231576741355236,
      -0.00525391584117632,
      -0.005275876606149373,
      -0.005297465420468752,
      -0.005318688594770919
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334206692099363,
      10.091740604029328,
      9.842202062067377,
      9.588476630456185,
      9.333219326206258,
      9.078734364678157,
      8.826940477426906,
      8.579352594041682,
      8.33708189458148,
      8.100861879741906,
      7.8710885049715635,
      7.647870430667871,
      7.431085524059246,
      7.220438032412112,
      7.015512719894288,
      6.815823732465265,
      6.6208568424630805,
      6.430104532054286,
      6.24309335192597,
      6.059404855955337,
      5.878689016894933,
      5.700659465034676,
      5.525092157127715,
      5.351847453378851,
      5.1808518122026195,
      5.012111820937777,
      4.845753645641131,
      4.682002369790028,
      4.5211390592378535,
      4.363474158965137,
      4.209352525123114,
      4.0591526649736505,
      3.91325174997894,
      3.7720090212861463,
      3.635755030559838,
      3.504780834217592,
      3.3793281257318473,
      3.2595838089674234,
      3.1456760793470075,
      3.037659851484715,
      2.93551256795929,
      2.8391428737654425,
      2.7483692685497276,
      2.6629395659700674,
      2.5825874206854,
      2.5070425305075714,
      2.4360337169575326,
      2.3692939618586486,
      2.3065506768153616,
      2.2475050434268304,
      2.191778969483198,
      2.139012546772541,
      2.0888734340883603,
      2.041050937665066,
      1.9952752977346064,
      1.9513210866594195,
      1.909006981256489,
      1.868177282294847,
      1.8287024930651323,
      1.7904678478880967,
      1.7533758487912285,
      1.7173484242933141,
      1.6823220438168958,
      1.6482479593742072,
      1.6150852392032842,
      1.582796076003386,
      1.5513453170374474,
      1.52070069453924,
      1.4908321211493165,
      1.4617109088480087,
      1.4333097267962498,
      1.405602564906616,
      1.3785655887866006,
      1.3521750340955185,
      1.3264062142779902,
      1.3012362666511426,
      1.276644058471051,
      1.252609857541172,
      1.2291151054261444,
      1.2061422559831796,
      1.1836746585436164,
      1.1616964701180637,
      1.140192890866824,
      1.1191508872516218,
      1.0985581934116329,
      1.078403070326989,
      1.0586737764570278,
      1.039358671495899,
      1.0204463446078744,
      1.0019256889208865,
      0.9837859409515083,
      0.9660166982861382,
      0.948607923968262,
      0.9315499423403067,
      0.9148334301935781,
      0.8984494055793625,
      0.8823892145267005,
      0.8666445178774845,
      0.8512072770737815,
      0.8360697411774543,
      0.8212244336235741,
      0.8066641399435192,
      0.7923818956989744,
      0.7783709753320448,
      0.7646248806429339,
      0.75113733128575,
      0.7379022547814359,
      0.7249137771762018,
      0.7121662144238076,
      0.6996540639267126,
      0.6873719968605788,
      0.6753148508332564,
      0.6634776224490601,
      0.6518554611489332,
      0.6404436626418751,
      0.6292376627305574,
      0.6182330316157881,
      0.6074254685344138,
      0.5968107968345536,
      0.5863849251753677,
      0.576144546495219,
      0.5660868890639305,
      0.5562088714667119,
      0.546507233856101,
      0.536978638594193,
      0.5276197326411203,
      0.51842718566296,
      0.5093977125918788,
      0.5005280873388086,
      0.4918151497988739,
      0.48325580974595667,
      0.4748470479133858,
      0.4665859159274186,
      0.45846953542694396,
      0.4504950966240429,
      0.4426598625589377,
      0.4349614399693854,
      0.4273976110927063,
      0.41996605385437624,
      0.41266440288663275,
      0.4054902863514408,
      0.3984413487144687,
      0.391515263943331,
      0.3847097431858718,
      0.3780225398481234,
      0.3714514512636581,
      0.36499435181894935,
      0.35864930130119693,
      0.35241439073739345,
      0.34628768767390744,
      0.3402672607238295,
      0.3343511941045235,
      0.32853759697931667,
      0.32282460817901143,
      0.31721039930836353,
      0.3116931907668425,
      0.3062712668663939,
      0.30094293493414365,
      0.2957065230735592,
      0.29056038456624345,
      0.28550290075315166,
      0.28053248220892696,
      0.2756475691473681,
      0.27084663163993705,
      0.26612816942335843,
      0.2614907113395576,
      0.25693281494545045,
      0.25245306571022036,
      0.24805007694802422,
      0.24372248860530307,
      0.23946896690164038,
      0.23528810376694242,
      0.23117837648790607,
      0.2271383576060109,
      0.2231667149157688,
      0.21926218476867448,
      0.21542355483049844,
      0.2116496528971005,
      0.20793933987218569,
      0.204291646503294,
      0.20070593704481182,
      0.19718148656031145,
      0.19371745014183342,
      0.1903128447730789,
      0.1869665945335693,
      0.183677650094067,
      0.1804449925692417,
      0.17726762862856316,
      0.17414458764771998,
      0.17107491962504578,
      0.16805769365294027,
      0.16509199699114877,
      0.16217693428770805,
      0.1593116267994173,
      0.1564952120941278,
      0.1537268434769656,
      0.15100568967458342,
      0.14833093432466235,
      0.14570177594513706,
      0.14311742733313684,
      0.14057711541716741,
      0.13808008093251753,
      0.1356255782443751,
      0.13321287489846723,
      0.13084125147050055,
      0.12851000125748116,
      0.1262184301842287,
      0.12396585645560632,
      0.12175161032896871,
      0.1195750338216573,
      0.11743548051824225,
      0.11533231543314357,
      0.11326491478205093,
      0.11123266562323905,
      0.10923496570562857,
      0.10727122339541038,
      0.10534085747193044,
      0.10344329691323582,
      0.10157798061312281,
      0.09974435703552975,
      0.09794188446092432,
      0.0961700305843797,
      0.09442827242576739,
      0.09271609593409656,
      0.09103299602960012,
      0.0893784763580542,
      0.08775204925988267,
      0.08615323553713913,
      0.08458156417672791,
      0.08303657233072326,
      0.08151780518593697,
      0.08002481572130109,
      0.07855716468079929,
      0.0771144204111492,
      0.07569615866345616,
      0.0743019624782663,
      0.0729314220616402,
      0.0715841346491328,
      0.07025970450279374,
      0.06895774273035121,
      0.06767786689348193,
      0.06641970124443171,
      0.0651828765569356,
      0.06396702986688273,
      0.06277180438541388,
      0.061596849517286674,
      0.06044182068883436,
      0.059306379220526215,
      0.058190192157737526,
      0.05709293227539388,
      0.056014277963824126,
      0.05495391306236676,
      0.053911526799280185,
      0.052886813812139694,
      0.05187947397850399,
      0.05088921218990461,
      0.04991573834494431,
      0.048958767447313034,
      0.0480180192775511,
      0.04709321842006496,
      0.046184094123599355,
      0.045290380357908826,
      0.044411815435940555,
      0.043548142305316895,
      0.042699108176111514,
      0.04186446467091193,
      0.041043967526998064,
      0.0402373767090038,
      0.03944445632114005,
      0.03866497445232442,
      0.03789870300514901,
      0.03714541783815169,
      0.03640489874512816,
      0.03567692929699806,
      0.03496129663438966,
      0.034257791312159294,
      0.033566207716791495,
      0.03288634369059778,
      0.032218000455539304,
      0.03156098268364285,
      0.030915098396154857,
      0.030280158767621353,
      0.029655978139183952,
      0.02904237409493807,
      0.028439167296513267,
      0.02784618151410797,
      0.02726324339541525,
      0.026690182666525075,
      0.026126831752320365,
      0.025573026158223836,
      0.025028604106842097,
      0.024493406471550634,
      0.02396727691741308,
      0.023450061677621804,
      0.022941609772588693,
      0.02244177271171272,
      0.021950404379821167,
      0.02146736124942359,
      0.020992502213147635,
      0.020525688643781945,
      0.020066784048601943,
      0.019615654393768556,
      0.019172167967431118,
      0.01873619522004522,
      0.018307608759744583,
      0.017886283444654223,
      0.01747209621712138,
      0.017064926118067217,
      0.01666465426438509,
      0.01627116376497723,
      0.015884339606018514,
      0.015504068938326085,
      0.015130240787713533,
      0.014762745817121937,
      0.014401476674057015,
      0.014046327958042023,
      0.013697196036262451,
      0.013353978968106785,
      0.013016576506168252,
      0.012684889976926211,
      0.012358822663364504,
      0.012038279215672883,
      0.011723166136536133,
      0.011413391426803728,
      0.011108864706547275,
      0.010809497060351935,
      0.010515201044831406,
      0.010225890681831698,
      0.00994148152204468,
      0.00966189051085727,
      0.009387036057073795,
      0.00911683788437501,
      0.00885121706667499,
      0.00859009608697424,
      0.008333398743361198,
      0.008081050085409543,
      0.00783297636174459,
      0.007589105150733989,
      0.007349365330507782,
      0.007113686978101138,
      0.0068820012160483125,
      0.006654240323644742,
      0.006430337903870224,
      0.006210228469997488,
      0.005993847856856149,
      0.0057811328223974015,
      0.00557202138484979,
      0.005366452414080071,
      0.005164365957809638,
      0.004965702949179666,
      0.00477040547738791,
      0.004578416464789713,
      0.004389679863226682,
      0.00420414050990002,
      0.004021744235450485,
      0.0038424378103806838,
      0.0036661688569661934,
      0.003492886019063003,
      0.003322538734918873,
      0.003155077229905777,
      0.002990452575533678,
      0.0028286167703802565,
      0.0026695225837626638,
      0.0025131235929712597,
      0.0023593740139557264,
      0.0022082289349281124,
      0.0020596443373504924,
      0.0019135767640393526,
      0.0017699836956273744,
      0.0016288232373372856,
      0.0014900540754617462,
      0.0013536356268384869,
      0.0012195281785092969,
      0.001087692540997458,
      0.000958090244370476,
      0.0008306835143813863,
      0.0007054352641366988,
      0.0005823088212413539,
      0.0004612681274233446,
      0.00034227793405843616,
      0.00022530346024670896,
      0.00011031051075839056,
      -2.734365556590889e-06,
      -0.00011386419179797275,
      -0.00022311145078927086,
      -0.0003305080787983759,
      -0.0004360853368323657,
      -0.0005398740985244602,
      -0.0006419046533932283,
      -0.0007422067684555958,
      -0.000840809715989577,
      -0.0009377422740260513,
      -0.0010330326802691504,
      -0.001126708755796549,
      -0.0012187978931921435,
      -0.0013093270370137446,
      -0.0013983226051133577,
      -0.001485810579449713,
      -0.0015718165256407342,
      -0.0016563655215270502,
      -0.0017394822300157145,
      -0.0018211908243794689,
      -0.0019015152039236452,
      -0.0019804788523729495,
      -0.002058104834772037,
      -0.0021344157416116577,
      -0.0022094339875193894,
      -0.0022831813269968016,
      -0.002355679251500486,
      -0.0024269490540369874,
      -0.002497011563438793,
      -0.002565887238737966,
      -0.0026335961159392927,
      -0.0027001579440155063,
      -0.002765592154143658,
      -0.0028299179107888653,
      -0.0028931539195696273,
      -0.002955318526129683,
      -0.0030164300236151186,
      -0.0030765063301500723,
      -0.003135564963681471,
      -0.0031936231361368536,
      -0.0032506977958345175,
      -0.003306805585566468,
      -0.0033619628953342087,
      -0.0034161857804114906,
      -0.0034694901261274154,
      -0.0035218914622249598,
      -0.0035734051509252215,
      -0.003624046110170946,
      -0.0036738291393362834,
      -0.003722768837438832,
      -0.0037708795204759488,
      -0.0038181752649563538,
      -0.0038646697658442676,
      -0.003910376600424853,
      -0.003955309103355852,
      -0.0039994804126301286,
      -0.00404290358493096,
      -0.00408559111234398,
      -0.004127555423331342,
      -0.004168808854913698,
      -0.004209363504056603,
      -0.004249231084141773,
      -0.0042884232767063995,
      -0.004326951503328104,
      -0.004364826964377428,
      -0.004402060791032876,
      -0.004438663955310359,
      -0.0044746470525485645,
      -0.004510020495464426,
      -0.004544794765180087,
      -0.004578979936814953,
      -0.004612585967365837,
      -0.004645622734743574,
      -0.004678099822055087,
      -0.004710026758895443,
      -0.004741412848673781,
      -0.004772267230698901,
      -0.004802598928802908,
      -0.00483241684218301,
      -0.004861729583139214,
      -0.004890545708108334,
      -0.004918873662195309,
      -0.004946721640549327,
      -0.0049740978369482,
      -0.005001010284916752,
      -0.005027466800390779,
      -0.005053475171334396,
      -0.005079042959334824,
      -0.005104177592928967,
      -0.005128886524031557,
      -0.005153176868978035,
      -0.005177055627505377,
      -0.005200529888222338,
      -0.005223606525789877,
      -0.005246292234091586,
      -0.005268593737167013,
      -0.005290517421045825,
      -0.005312069657897075,
      -0.005333256824679764
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334204393108477,
      10.09173033141038,
      9.842178590630668,
      9.588435312195022,
      9.33315612194642,
      9.078646476938376,
      8.826826146227846,
      8.579210786297399,
      8.336912105832614,
      8.100664026067962,
      7.870862744985765,
      7.647617022165654,
      7.430804716377556,
      7.220130071982273,
      7.015177852671364,
      6.815462208668411,
      6.620468988435801,
      6.429690742799042,
      6.242654098407947,
      6.058940727070496,
      5.878200781254795,
      5.700148168050888,
      5.524559062494382,
      5.351294033584576,
      5.180279662176144,
      5.011523009465685,
      4.84515113255457,
      4.681389360310999,
      4.520518855704839,
      4.3628501299612426,
      4.208728333171613,
      4.058532018034443,
      3.912638190227156,
      3.771405864271111,
      3.635165308544369,
      3.5042072565205573,
      3.378773041734706,
      3.259049184105435,
      3.145163400821575,
      3.0371700028753983,
      2.9350459019117183,
      2.838699335617146,
      2.747948082616589,
      2.6625395659322666,
      2.5822073043645513,
      2.5066807637018558,
      2.435688776247395,
      2.3689643848570263,
      2.3062348660399095,
      2.2472011485488315,
      2.1914848476381596,
      2.1387261193541773,
      2.0885926014379415,
      2.040773980597563,
      1.9950008738612908,
      1.9510482026995482,
      1.9087349026108515,
      1.8679054636808041,
      1.8284304850430075,
      1.7901952317619136,
      1.753102347394586,
      1.7170738569843453,
      1.6820465014556414,
      1.647971861966919,
      1.614808860713389,
      1.5825195973202129,
      1.5510688661030945,
      1.5204243711837893,
      1.4905559926693153,
      1.4614350209665337,
      1.4330341122893637,
      1.4053272551260392,
      1.3782906191785724,
      1.3519004457994719,
      1.3261320433633978,
      1.3009625407175893,
      1.2763707993825915,
      1.252337083785326,
      1.2288428332834722,
      1.2058705011350161,
      1.1834034364918284,
      1.1614257964342203,
      1.1399227890024783,
      1.1188813910578224,
      1.0982893410078507,
      1.0781348962374826,
      1.058406308562791,
      1.039091932587618,
      1.0201803544743437,
      1.001660465906209,
      0.9835215024235106,
      0.9657530610352438,
      0.9483451041812514,
      0.9312879558100601,
      0.914572292867758,
      0.8981891331771351,
      0.8821298228007666,
      0.8663860223008735,
      0.8509496932232751,
      0.8358130844917344,
      0.8209687194007467,
      0.8064093832737539,
      0.792128111459216,
      0.7781181779117917,
      0.7643730845974397,
      0.7508865510356046,
      0.7376525044266892,
      0.7246650705521265,
      0.7119185650675621,
      0.6994074853626495,
      0.687126502645675,
      0.6750704539302269,
      0.663234335605074,
      0.6516132968823412,
      0.6402026328872619,
      0.6289977792100535,
      0.6179943057429466,
      0.6071879116133428,
      0.5965744195372206,
      0.5861497494455845,
      0.5759106637976015,
      0.5658543808117033,
      0.5559777899681665,
      0.5462776128857114,
      0.5367505000308794,
      0.527393091177773,
      0.5182020510680614,
      0.5091740917700661,
      0.5003059850771282,
      0.4915945694995368,
      0.4830367538159936,
      0.47462951794178737,
      0.4663699130053331,
      0.4582550604093006,
      0.4502821500027498,
      0.4424484555444676,
      0.4347515983170026,
      0.4271893500577858,
      0.419759381865122,
      0.41245932401455304,
      0.4052868019728043,
      0.39823945836902575,
      0.3913149658766773,
      0.3845110349595474,
      0.37782541833175803,
      0.3712559130027312,
      0.36480039754208404,
      0.358456937316142,
      0.3522236187606427,
      0.3460985066276033,
      0.3400796677414626,
      0.3341651851969126,
      0.3283531671963258,
      0.3226417519944231,
      0.31702911098638403,
      0.31151346599731444,
      0.30609310105700954,
      0.3007663226313766,
      0.29553145825544064,
      0.2903868606762322,
      0.2853309108568793,
      0.2803620190452343,
      0.27547862531634476,
      0.2706791996736711,
      0.26596224166352783,
      0.26132628002860436,
      0.25676987220116976,
      0.2522916037655601,
      0.24789008771453205,
      0.24356396384519335,
      0.23931189833377822,
      0.23513249029522373,
      0.23102421747350516,
      0.22698564946310784,
      0.2230154520945175,
      0.21911236057693256,
      0.2152751618301519,
      0.21150268315666124,
      0.2077937851778806,
      0.20414749033741852,
      0.20056316233230917,
      0.19704007913503685,
      0.19357739765764082,
      0.19017413265697788,
      0.18682920865935337,
      0.18354157833650464,
      0.1803102237953817,
      0.17713415259600096,
      0.1740123945933438,
      0.17094399986145276,
      0.1679280377179236,
      0.16496359555563395,
      0.16204977798709344,
      0.15918570641403504,
      0.15637051839267832,
      0.15360336714196046,
      0.15088342139866145,
      0.14820986482378717,
      0.1455818958631611,
      0.14299872736838806,
      0.14045958627051605,
      0.1379637132871106,
      0.13551036271282715,
      0.13309880220463843,
      0.13072831226289883,
      0.12839818622663457,
      0.1261077301549649,
      0.12385626210402309,
      0.12164311221033011,
      0.11946762257548599,
      0.11732914688255228,
      0.11522705021434909,
      0.11316070869751524,
      0.11112950939168204,
      0.10913285011773922,
      0.10717013934661053,
      0.10524079576638301,
      0.103344248346917,
      0.1014799359104448,
      0.09964730725640308,
      0.0978458205815323,
      0.09607494356779951,
      0.09433415313299333,
      0.09262293537182871,
      0.09094078528644477,
      0.08928720638845897,
      0.08766171109055663,
      0.08606382029201384,
      0.08449306305456669,
      0.08294897655133053,
      0.08143110599946794,
      0.07993900439565492,
      0.07847223254285624,
      0.07703035876422586,
      0.0756129590035731,
      0.07421961630388205,
      0.07284992090281588,
      0.0715034701823939,
      0.07017986835485537,
      0.06887872644074503,
      0.06759966215990396,
      0.06634229989169499,
      0.06510627029961652,
      0.06389121048517465,
      0.06269676379911533,
      0.06152257983816928,
      0.06036831388866903,
      0.05923362724422076,
      0.05811818706778611,
      0.057021666218467174,
      0.05594374303296416,
      0.054884101397498844,
      0.053842430805400986,
      0.052818425891751605,
      0.051811786458279094,
      0.05082221753309658,
      0.049849429116383494,
      0.04889313630069972,
      0.04795305888606488,
      0.04702892145476297,
      0.04612045334620867,
      0.04522738844657846,
      0.044349465313634095,
      0.04348642693746763,
      0.042638020562668015,
      0.04180399773661328,
      0.040984114536621416,
      0.040178130897455325,
      0.039385810924762545,
      0.03860692264473852,
      0.037841238163341666,
      0.03708853349154278,
      0.03634858828978565,
      0.0356211860846321,
      0.03490611408000468,
      0.034203163110337206,
      0.03351212749276678,
      0.03283280512198236,
      0.03216499741317496,
      0.03150850901056721,
      0.03086314783926003,
      0.030228725182236738,
      0.029605055573359282,
      0.028991956709113868,
      0.02838924920721948,
      0.027796756859971003,
      0.027214306422830997,
      0.026641727560669147,
      0.026078852907135953,
      0.02552551800837213,
      0.02498156104872459,
      0.024446823000603708,
      0.023921147619266798,
      0.02340438110520652,
      0.022896372475833704,
      0.02239697330529459,
      0.021906037681226617,
      0.02142342200095769,
      0.02094898517930488,
      0.02048258862884086,
      0.02002409599718901,
      0.019573373390178297,
      0.01913028905097543,
      0.018694713544020764,
      0.01826651945132019,
      0.01784558175135326,
      0.01743177753301114,
      0.017024985736330482,
      0.016625087588156496,
      0.016231966193809472,
      0.015845506708878652,
      0.015465596283515015,
      0.015092123887302175,
      0.014724980319308445,
      0.014364058276234189,
      0.014009252396316054,
      0.01366045900509983,
      0.01331757616710311,
      0.01298050365506035,
      0.012649142989512602,
      0.012323397440801138,
      0.012003171840429035,
      0.011688372608699548,
      0.011378907832996447,
      0.01107468707898413,
      0.010775621519619302,
      0.01048162372657301,
      0.010192607740670434,
      0.009908489262752852,
      0.009629185297696996,
      0.009354614210383671,
      0.00908469570445383,
      0.008819350939715332,
      0.008558502541289087,
      0.008302074282959116,
      0.008049991303575758,
      0.007802179927615157,
      0.007558567789794559,
      0.007319083646533472,
      0.00708365756075131,
      0.006852220786325289,
      0.006624705695744238,
      0.006401045870747282,
      0.006181176039036436,
      0.0059650318372029614,
      0.005752550175174659,
      0.005543669083969501,
      0.0053383274724618365,
      0.005136465434890006,
      0.004938023932910271,
      0.004742944964659386,
      0.004551171642481831,
      0.004362647842336134,
      0.004177318613522423,
      0.003995129720936447,
      0.0038160280685699995,
      0.003639961217364947,
      0.0034668778667064745,
      0.003296727341093867,
      0.003129459912892824,
      0.002965026849087809,
      0.002803380117858315,
      0.0026444725374230233,
      0.002488257609885666,
      0.002334689567660957,
      0.0021837235946489415,
      0.0020353157710857077,
      0.0018894228121273803,
      0.0017460020187620856,
      0.001605011447368917,
      0.0014664099359979247,
      0.0013301569616958257,
      0.0011962127869192284,
      0.0010645382844037844,
      0.0009350950314981464,
      0.0008078451658003186,
      0.0006827514275064,
      0.0005597774328224241,
      0.00043888723210681917,
      0.0003200455379559387,
      0.00020321750993118945,
      8.836908242473522e-05,
      -2.4533213576414397e-05,
      -0.00013552240751113232,
      -0.00024463082444090223,
      -0.00035189042172346306,
      -0.00045733248851069996,
      -0.0005609879084729618,
      -0.0006628869372046211,
      -0.0007630593088411823,
      -0.0008615342189780272,
      -0.0009583404581738826,
      -0.0010535063088164662,
      -0.001147059656440686,
      -0.0012390277871174192,
      -0.00132943759004585,
      -0.0014183154534852076,
      -0.001505687278974194,
      -0.0015915785896065172,
      -0.001676014560262968,
      -0.0017590197281362283,
      -0.0018406183501103554,
      -0.001920834237207058,
      -0.0019996908543567413,
      -0.0020772113361800294,
      -0.0021534181896877363,
      -0.0022283337836201673,
      -0.002301979952744278,
      -0.002374378172473855,
      -0.0024455496052948494,
      -0.0025155150373032216,
      -0.002584294985307389,
      -0.002651909497537863,
      -0.002718378321388048,
      -0.0027837208537519116,
      -0.0028479560771454545,
      -0.00291110289510464,
      -0.0029731797167146267,
      -0.003034204566750477,
      -0.0030941953284620268,
      -0.0031531695847173127,
      -0.003211144585202558,
      -0.003268137205977229,
      -0.00332416405394853,
      -0.0033792414685892285,
      -0.0034333856304369207,
      -0.003486612268386868,
      -0.0035389370587083344,
      -0.0035903752348052757,
      -0.0036409417616784265,
      -0.0036906514454932743,
      -0.003739518832687176,
      -0.003787558152511827,
      -0.003834783385703586,
      -0.0038812084403361488,
      -0.003926846811727933,
      -0.00397171189653001,
      -0.004015816797113838,
      -0.004059174309316258,
      -0.004101797182896066,
      -0.00414369788491317,
      -0.004184888579006725,
      -0.004225381255735154,
      -0.004265187811471825,
      -0.004304319853548579,
      -0.0043427887392152465,
      -0.004380605645637563,
      -0.004417781804965871,
      -0.0044543280836025784,
      -0.004490255088873838,
      -0.0045255733377838345,
      -0.004560293069201475,
      -0.00459442443681825,
      -0.004627977504460487,
      -0.0046609620056512315,
      -0.00469338752825981,
      -0.004725263660193315,
      -0.004756599683470456,
      -0.0047874047571903,
      -0.004817687908703291,
      -0.004847457872055807,
      -0.0048767233512495645,
      -0.004905492927088769,
      -0.004933775001902929,
      -0.0049615778642429255,
      -0.004988909683352528,
      -0.005015778254900088,
      -0.005042191445174785,
      -0.005068157132952524,
      -0.005093682852145879,
      -0.00511877604423394,
      -0.005143444087416198,
      -0.005167694204769358,
      -0.0051915334415607185,
      -0.005214968667692172,
      -0.005238006782719163,
      -0.005260654481940172,
      -0.005282918359167334,
      -0.005304804977159723,
      -0.005326320715134044,
      -0.0053474718894948444
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334202086691647,
      10.091720023620077,
      9.842155038643845,
      9.58839384991509,
      9.333092696348565,
      9.078558280131467,
      8.826711409105314,
      8.579068470612103,
      8.336741706690079,
      8.10046545598933,
      7.870636159798019,
      7.647362690286895,
      7.430522893319548,
      7.219820999049786,
      7.014841772985523,
      6.815099374673487,
      6.62007972789525,
      6.429275447359455,
      6.2422132369236,
      6.058474885743777,
      5.8777107273411575,
      5.699634945425568,
      5.5240239324894835,
      5.350738415568743,
      5.1797051095827475,
      5.010931727411689,
      4.844546083594772,
      4.680773753433658,
      4.51989599738271,
      4.3622233933649595,
      4.208101388335538,
      4.057908580886705,
      3.9120218134341758,
      3.7707998724277156,
      3.6345727433214354,
      3.5036308368789757,
      3.3782151262970608,
      3.258511745714809,
      3.144647932675842,
      3.0366773934927993,
      2.934576494666848,
      2.83825306885323,
      2.7475241882410355,
      2.6621368844704354,
      2.581824538967906,
      2.5063163839194074,
      2.4353412621560864,
      2.368632276057882,
      2.3059165655969465,
      2.246894763039168,
      2.1911882437425945,
      2.1384372254412947,
      2.0883093239065444,
      2.0404946039394782,
      1.9947240581411034,
      1.9507729575674944,
      1.9084604945488572,
      1.8676313475932047,
      1.8281562116128856,
      1.7899203819622294,
      1.7528266432904545,
      1.716797116312207,
      1.6817688326038134,
      1.6476936789092889,
      1.6145304330660981,
      1.5822411019570763,
      1.5507904286727239,
      1.5201460896883865,
      1.4902779320906443,
      1.4611572261207004,
      1.4327566150411448,
      1.4050500855669843,
      1.3780138120721528,
      1.351624041986737,
      1.3258560785010993,
      1.3006870408703732,
      1.2760957854443533,
      1.2520625733879935,
      1.2285688423807384,
      1.205597045160322,
      1.1831305302764403,
      1.161153454615789,
      1.139651034247652,
      1.118610256841469,
      1.0980188651825604,
      1.0778651128704062,
      1.0581372442816266,
      1.0388236096636845,
      1.0199127928130043,
      1.0013936833881034,
      0.9832555157840317,
      0.9654878862158004,
      0.9480807569155928,
      0.931024451939232,
      0.9143096478747191,
      0.8979273627222715,
      0.8818689422242999,
      0.866126046616874,
      0.850690637657754,
      0.8355549639886186,
      0.8207115490285741,
      0.8061531779055785,
      0.7918728860743207,
      0.7778639473758742,
      0.7641198634544778,
      0.7506343534895188,
      0.7374013445133629,
      0.7244149619425709,
      0.7116695210617238,
      0.6991595189727163,
      0.686879626539787,
      0.6748246809500357,
      0.6629896783317877,
      0.6513697673948049,
      0.639960242992665,
      0.6287565405879078,
      0.6177542298748803,
      0.6069490095768982,
      0.5963367020443906,
      0.5859132662632748,
      0.5756755180209302,
      0.5656206380041006,
      0.5557454924080029,
      0.5460467880709473,
      0.5365211662802224,
      0.5271652604213112,
      0.5179757315081442,
      0.5089492890466943,
      0.5000827033415296,
      0.4913728115087639,
      0.4828165215763507,
      0.47441081308821154,
      0.4661527366900533,
      0.4580394133351055,
      0.4500680327800176,
      0.4422358794935999,
      0.43454058911772636,
      0.42697992250076866,
      0.41955154423625357,
      0.41225308041232445,
      0.4050821537414278,
      0.39803640490659326,
      0.39111350550847085,
      0.3843111651921419,
      0.3776271360493408,
      0.37105921450407614,
      0.3646052832767864,
      0.3582634136101176,
      0.3520316876207823,
      0.34590816720935563,
      0.33989091722892417,
      0.33397801941767,
      0.3281675812795254,
      0.32245774062834576,
      0.3168466683921699,
      0.3113325876406918,
      0.3059137823211362,
      0.3005885579962475,
      0.2953552414127065,
      0.29021218481653044,
      0.28515776906749385,
      0.2801904043362006,
      0.27530853041519987,
      0.2705106170331983,
      0.26579516364451117,
      0.26116069888970683,
      0.256605779997332,
      0.2521289924345992,
      0.24772894906021264,
      0.24340428970862502,
      0.23915368050889657,
      0.23497572754128665,
      0.23086890879973107,
      0.22683179111763968,
      0.22286303854691403,
      0.21896138507293414,
      0.2151256168640992,
      0.21135456078745063,
      0.2076470770495109,
      0.2040021799747686,
      0.200419232735506,
      0.19689751627123014,
      0.1934361892329267,
      0.1900342639935718,
      0.1866906658651498,
      0.1834043492237028,
      0.1801742973047804,
      0.17699951832619532,
      0.17387904249103533,
      0.17081192035744164,
      0.16779722134905276,
      0.16483403296165158,
      0.16192145999013258,
      0.1590586236976097,
      0.15624466162433434,
      0.15347872707033755,
      0.1507599887910755,
      0.14808763033984237,
      0.14546085017547683,
      0.14287886115570234,
      0.14034089014030066,
      0.13784617795831133,
      0.13539397893161967,
      0.13298356051344778,
      0.13061420332795448,
      0.12828520085417974,
      0.12599585898305282,
      0.12374549585315874,
      0.12153344171145539,
      0.11935903860076771,
      0.11722163995686413,
      0.11512061080698312,
      0.11305532750896495,
      0.11102517717632404,
      0.10902955766587707,
      0.10706787743463618,
      0.10513955520809007,
      0.1032440199241789,
      0.10138071051339906,
      0.09954907566120355,
      0.09774857371112344,
      0.09597867246662467,
      0.09423884880846096,
      0.092528588737289,
      0.0908473872816508,
      0.08919474824008752,
      0.08757018405198884,
      0.08597321539575273,
      0.08440337143612403,
      0.0828601894108761,
      0.08134321449068387,
      0.07985199980025326,
      0.07838610625462315,
      0.07694510221948937,
      0.0755285636116728,
      0.07413607355552798,
      0.07276722220829131,
      0.07142160697029745,
      0.07009883221534116,
      0.06879850905284535,
      0.06752025531469558,
      0.06626369531843491,
      0.06502845987043704,
      0.06381418605410913,
      0.06262051725435404,
      0.061447103001578754,
      0.060293598745901955,
      0.059159665955603395,
      0.0580449718180247,
      0.056949189079006715,
      0.0558719962022192,
      0.054813077219077654,
      0.05377212152258331,
      0.05274882388860776,
      0.051742884249501575,
      0.0507540075988472,
      0.04978190403573233,
      0.04882628857389674,
      0.04788688123671495,
      0.04696340662996545,
      0.04605559403800039,
      0.04516317741664364,
      0.0442858954131136,
      0.043423491028555534,
      0.042575711714003296,
      0.04174230910438476,
      0.04092303908031259,
      0.040117661760165985,
      0.03932594126013256,
      0.038547645838808584,
      0.0377825474527438,
      0.03703042216005725,
      0.036291049801333915,
      0.035564213994280724,
      0.03484970193920762,
      0.034147304530908244,
      0.03345681621134753,
      0.032778034861118945,
      0.0321107618633484,
      0.03145480199026983,
      0.030809963308988015,
      0.03017605710676618,
      0.02955289789178373,
      0.028940303470389398,
      0.028338094553327975,
      0.027746094888676794,
      0.02716413134915947,
      0.026592033764370186,
      0.0260296347836651,
      0.0254767699405406,
      0.024933277524881267,
      0.02439899849132647,
      0.02387377649856066,
      0.02335745802307276,
      0.022849892076331115,
      0.022350930250476797,
      0.02186042669371802,
      0.021378237951617512,
      0.020904222984443426,
      0.020438243173065068,
      0.019980162323423756,
      0.019529846521306737,
      0.019087164065761265,
      0.01865198550686133,
      0.018224183596794948,
      0.0178036332746391,
      0.017390211621876223,
      0.0169837976859508,
      0.01658427269372876,
      0.0161915198402325,
      0.015805424327337857,
      0.015425873250767204,
      0.015052755704850132,
      0.014685962665795414,
      0.014325386818842078,
      0.013970922792799009,
      0.013622467039311475,
      0.013279917764560766,
      0.012943174733358183,
      0.012612139537672888,
      0.012286715338176732,
      0.011966806942283484,
      0.01165232095913844,
      0.0113431654530029,
      0.011039249983446494,
      0.010740485808189155,
      0.010446785549201101,
      0.010158063422745908,
      0.009874235036139009,
      0.009595217463980735,
      0.009320929240850153,
      0.009051290232732418,
      0.008786221487891491,
      0.00852564552515752,
      0.008269486131615643,
      0.00801766856625742,
      0.007770119133036985,
      0.00752676548980482,
      0.007287536644204588,
      0.00705236256689178,
      0.006821174591451189,
      0.006593905131711787,
      0.0063704877158509855,
      0.00615085714533078,
      0.005934949137035428,
      0.005722700624673556,
      0.005514049562130161,
      0.005308935067937949,
      0.005107297122756696,
      0.004909076836317141,
      0.004714216292825286,
      0.0045226585333312,
      0.004334347516633956,
      0.004149228243031936,
      0.003967246608317233,
      0.00378834933127767,
      0.0036124841901422292,
      0.0034395998681121297,
      0.003269645803092234,
      0.0031025723513201597,
      0.002938330612328714,
      0.0027768726247791673,
      0.0026181512225962925,
      0.002462120072621621,
      0.002308733581782274,
      0.0021579468324152383,
      0.002009715819641163,
      0.0018639971511570956,
      0.0017207482842363613,
      0.0015799273205205926,
      0.0014414931723973634,
      0.001305405426833832,
      0.00117162428882496,
      0.0010401105968071886,
      0.000910825904364482,
      0.0007837324946420334,
      0.0006587932766887564,
      0.0005359716272661712,
      0.0004152316987925529,
      0.0002965382275340456,
      0.00017985647160125034,
      6.515235447511037e-05,
      -4.760761160480664e-05,
      -0.00015845637431261304,
      -0.0002674263689215208,
      -0.0003745493910370367,
      -0.0004798567343061665,
      -0.0005833791032521492,
      -0.0006851468736919121,
      -0.0007851898750931214,
      -0.0008835371894175754,
      -0.0009802175897912235,
      -0.0010752593544665037,
      -0.0011686902378258122,
      -0.001260537477771157,
      -0.0013508279596954028,
      -0.0014395881312812158,
      -0.0015268439918698757,
      -0.0016126210036286985,
      -0.0016969441978920883,
      -0.0017798381716827773,
      -0.0018613271779790302,
      -0.0019414349154537117,
      -0.002020184926955056,
      -0.0020976002084060717,
      -0.002173703350037169,
      -0.002248516599644889,
      -0.0023220617841641557,
      -0.0023943603512980353,
      -0.0024654335238403417,
      -0.002535302115554707,
      -0.0026039865366167675,
      -0.002671506810002695,
      -0.002737882631216317,
      -0.002803133388215702,
      -0.0028672782248891134,
      -0.002930336014311543,
      -0.002992325083097424,
      -0.0030532634105620684,
      -0.003113168902921693,
      -0.003172058903562172,
      -0.0032299507767052,
      -0.0032868614664390383,
      -0.0033428075696503275,
      -0.0033978054268118873,
      -0.00345187108424762,
      -0.003505020363417438,
      -0.00355726883409349,
      -0.003608631703572291,
      -0.003659124054604238,
      -0.0037087605738479667,
      -0.0037575557431203345,
      -0.003805523832552028,
      -0.0038526789567297167,
      -0.0038990349392701304,
      -0.003944605195256919,
      -0.003989403012831352,
      -0.004033441554685745,
      -0.004076733667830445,
      -0.004119292010578831,
      -0.004161129012961819,
      -0.004202256900194847,
      -0.004242687804367032,
      -0.0042824334493097955,
      -0.0043215053239920136,
      -0.004359914905635211,
      -0.004397673488518181,
      -0.004434792107462395,
      -0.004471281536686326,
      -0.004507152542008083,
      -0.004542415579522119,
      -0.0045770808876243185,
      -0.0046111587116071055,
      -0.004644658949607113,
      -0.004677591350402388,
      -0.004709965526256505,
      -0.0047417909971325545,
      -0.004773077081522186,
      -0.004803832914206148,
      -0.004834067545475285,
      -0.004863789811456341,
      -0.0048930082670818765,
      -0.004921731461164545,
      -0.0049499677665908156,
      -0.004977725413135338,
      -0.005005012583333218,
      -0.0050318373174633195,
      -0.0050582074750979665,
      -0.005084130568684845,
      -0.005109614276756917,
      -0.0051346660475763,
      -0.005159293192103437,
      -0.005183503014519916,
      -0.005207302491038134,
      -0.005230698608953905,
      -0.00525369812049569,
      -0.005276307766696512,
      -0.005298534157347813,
      -0.005320383835279138,
      -0.005341863181096279,
      -0.005362978457367181
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334199774679929,
      10.091709688382737,
      9.842131422749649,
      9.588352277024473,
      9.33302910425748,
      9.078469852125847,
      8.826596370659217,
      8.578925778693884,
      8.336570867128083,
      8.100266393607289,
      7.87040902524135,
      7.64710774666317,
      7.430240409232957,
      7.219511211425244,
      7.014504921482018,
      6.814735719261331,
      6.619689600117579,
      6.42885923378555,
      6.241771402804987,
      6.058008016058,
      5.877219590039558,
      5.6991205825915525,
      5.523487604798152,
      5.350181542920688,
      5.1791292457007225,
      5.010339080941404,
      4.8439396198868945,
      4.6801566847171205,
      4.519271635665305,
      4.36159511850753,
      4.207472876531426,
      4.057283554311716,
      3.9114038302629033,
      3.7701922640281618,
      3.633978557840294,
      3.503052797996322,
      3.37765559699674,
      3.2579727038506925,
      3.144130875075116,
      3.036183211245861,
      2.9341055292475158,
      2.837805257741482,
      2.7470987655341736,
      2.661732693364109,
      2.5814402813181414,
      2.505950528567101,
      2.4349922902988315,
      2.368298729229351,
      2.3055968484357288,
      2.2465868549655594,
      2.1908900444630546,
      2.1381466890484337,
      2.0880243778216645,
      2.0402135499338243,
      1.9944455691542613,
      1.950496051345688,
      1.9081844432998374,
      1.8673556107729161,
      1.8278803420669558,
      1.7896439616664888,
      1.7525493946476243,
      1.716518857861826,
      1.6814897590975069,
      1.6474141719821906,
      1.614250742137489,
      1.5819613905896803,
      1.5505108128049536,
      1.5198666609236982,
      1.489998751674641,
      1.46087833582261,
      1.4324780439193407,
      1.404771861612721,
      1.377735968559798,
      1.3513466187332954,
      1.3255791102546493,
      1.3004105534675325,
      1.2758197992712028,
      1.251787105701047,
      1.2282939090486091,
      1.205322660707391,
      1.1828567090264215,
      1.1608802107986103,
      1.1393783901751364,
      1.118338245843195,
      1.097747524314093,
      1.0775944755161,
      1.0578673371131588,
      1.0385544553201371,
      1.0196444106741016,
      1.00112609108785,
      0.9829887300418748,
      0.9652219231906901,
      0.9478156321344264,
      0.9307601806641946,
      0.9140462454031831,
      0.8976648442626725,
      0.8816073229076784,
      0.8658653417478615,
      0.8504308619323588,
      0.8352961324253132,
      0.8204536762573972,
      0.8058962785105448,
      0.7916169744381978,
      0.7776090376378703,
      0.763865969479941,
      0.7503814891055457,
      0.7371495234010492,
      0.7241641976690579,
      0.7114198273041686,
      0.6989109089928585,
      0.6866321133335785,
      0.6745782771560008,
      0.6627443963823395,
      0.6511256193519578,
      0.6397172407537968,
      0.6285146954452568,
      0.6175135527256108,
      0.6067095112499223,
      0.5960983932615921,
      0.5856761972139103,
      0.5754397916450037,
      0.5653863197178601,
      0.5555126243753867,
      0.5458153975565625,
      0.5362912712497834,
      0.5269368729425956,
      0.5177488596490724,
      0.508723938651619,
      0.4998588784443574,
      0.4911505151149313,
      0.48259575562005697,
      0.4741915789139661,
      0.46593503537293696,
      0.4578232454345453,
      0.4498533982892581,
      0.4420227896836492,
      0.4343290697793262,
      0.426769988696932,
      0.4193432040513008,
      0.41204633780373334,
      0.4048770099979511,
      0.39783285943107355,
      0.39091155641110875,
      0.3841108098495346,
      0.3774283712238399,
      0.37086203658478223,
      0.36440969321950495,
      0.35806941757051325,
      0.35183928726768154,
      0.3457173614330921,
      0.33970170298205404,
      0.33379039267287125,
      0.3279815371029201,
      0.32227327347563445,
      0.3166637721954838,
      0.31115125797747994,
      0.30573401438759024,
      0.3004103460921001,
      0.2951785791694826,
      0.29003706565017423,
      0.28498418603002984,
      0.28001835015438653,
      0.2751379976402761,
      0.27034159818822273,
      0.2656276510385013,
      0.2609946846964651,
      0.25644125635712045,
      0.25196595126120935,
      0.24756738236733794,
      0.24324418928599298,
      0.23899503788873475,
      0.23481854140407973,
      0.23071317801693972,
      0.22667751177830606,
      0.22271020502864824,
      0.21880999064705467,
      0.21497565396508087,
      0.21120602140462522,
      0.20749995281086062,
      0.2038564544684913,
      0.20027488898993737,
      0.19675454010704566,
      0.19329456827613478,
      0.18989398365399973,
      0.186551712073997,
      0.1832667098094164,
      0.18003796126470514,
      0.17686447530525973,
      0.17374528265025188,
      0.17067943405274866,
      0.16766599917291347,
      0.16470406549210187,
      0.16179273781919198,
      0.15893113764978295,
      0.15611840247944858,
      0.15335368551461487,
      0.15063615541786832,
      0.1479649959108372,
      0.14533940541095772,
      0.14275859668321939,
      0.14022179667816445,
      0.1377282461425497,
      0.13527719933305293,
      0.13286792373053755,
      0.1304997000602012,
      0.12817182165112084,
      0.12588359450765502,
      0.12363433671905646,
      0.12142337854238318,
      0.11925006201970251,
      0.11711374083570755,
      0.11501378001429502,
      0.11294955573387282,
      0.1109204551013544,
      0.10892587604401487,
      0.10696522693093324,
      0.10503792664179987,
      0.10314340409108098,
      0.10128109823068013,
      0.09945045779948139,
      0.09765094104830122,
      0.09588201577658408,
      0.09414315912126674,
      0.09243385718038381,
      0.09075360495335756,
      0.08910190610808474,
      0.08747827315635759,
      0.08588222684227637,
      0.08431329640579617,
      0.08277101906120858,
      0.08125494003183226,
      0.07976461251089079,
      0.07829959745974883,
      0.07685946330317361,
      0.07544378587428396,
      0.07405214838191654,
      0.07268414124931012,
      0.07133936183832833,
      0.07001741445976832,
      0.06871791027489221,
      0.06744046721572948,
      0.06618470960856011,
      0.06495026838386132,
      0.06373678062634157,
      0.06254388970104686,
      0.06137124515782649,
      0.060218502670987106,
      0.05908532360705469,
      0.05797137526306192,
      0.05687633044862902,
      0.05579986779193038,
      0.05474167136723084,
      0.05370143053697235,
      0.052678840125239226,
      0.051673600051647416,
      0.05068541541744284,
      0.049713996371909284,
      0.048759058093535756,
      0.04782032048466025,
      0.04689750824328345,
      0.0459903508099872,
      0.04509858233907551,
      0.0442219413695231,
      0.0433601708974493,
      0.042513018395341655,
      0.041680235641765075,
      0.040861578551514594,
      0.04005680734917423,
      0.03926568628180459,
      0.038487983477429724,
      0.037723471079385,
      0.03697192519245391,
      0.03623312572926185,
      0.03550685630984801,
      0.034792904213591,
      0.0340910603385439,
      0.03340111911759757,
      0.032722878581964446,
      0.03205614017087829,
      0.03140070872677332,
      0.03075639230584013,
      0.030123002370284698,
      0.02950035350364381,
      0.02888826339290948,
      0.028286552854084587,
      0.027695045933703616,
      0.027113569450218422,
      0.02654195313143387,
      0.02598002964858974,
      0.02542763452192458,
      0.024884606151940217,
      0.024350785759771586,
      0.023826017001430624,
      0.023310146348726666,
      0.022803022882951208,
      0.02230449830221352,
      0.02181442675462135,
      0.021332664731730816,
      0.020859071327465152,
      0.020393508061652875,
      0.019935838745093894,
      0.019485929512404195,
      0.019043648660367937,
      0.018608866730154036,
      0.018181456648965963,
      0.017761293410513013,
      0.01734825410047805,
      0.01694221778399362,
      0.01654306582040376,
      0.016150681462192534,
      0.01576494990002412,
      0.015385758353428354,
      0.015012995895738441,
      0.014646553496724814,
      0.014286324002320506,
      0.01393220196888179,
      0.01358408387323883,
      0.013241867986736877,
      0.012905454033613846,
      0.012574743828418108,
      0.012249640661958083,
      0.011930049348331763,
      0.011615876481272774,
      0.011307030182396862,
      0.011003420090918453,
      0.010704957549679449,
      0.010411555117544786,
      0.01012312699634134,
      0.009839588916705099,
      0.009560857992173055,
      0.009286852629131592,
      0.009017492754058639,
      0.00875269955019375,
      0.008492395568143721,
      0.008236504714700414,
      0.00798495222153411,
      0.007737664440507503,
      0.007494569184960129,
      0.007255595388927432,
      0.00702067314007314,
      0.00678973380613154,
      0.006562709816406369,
      0.0063395347529099175,
      0.006120143318822834,
      0.005904471291516931,
      0.00569245562053923,
      0.0054840343912912586,
      0.005279146727544181,
      0.005077732749779854,
      0.004879733480060056,
      0.004685091043060226,
      0.004493748540900342,
      0.004305649969570153,
      0.004120740361798764,
      0.003938965577618429,
      0.003760272511877922,
      0.0035846089809763635,
      0.0034119236009071785,
      0.0032421657699297393,
      0.003075285998126313,
      0.002911235413877143,
      0.002749966055648559,
      0.002591430740976766,
      0.0024355831929517265,
      0.0022823778267704645,
      0.0021317698633561,
      0.0019837152935247566,
      0.0018381707689016933,
      0.0016950936734508161,
      0.0015544421343279876,
      0.0014161750865044128,
      0.001280252245042265,
      0.0011466338262116785,
      0.0010152807602138347,
      0.0008861545569206976,
      0.0007592174855807514,
      0.0006344324711400711,
      0.0005117630568664579,
      0.00039117328659196715,
      0.00027262798997216767,
      0.0001560924153259109,
      4.153246203460649e-05,
      -7.108530685088613e-05,
      -0.00018179380240901589,
      -0.0002906253862459414,
      -0.000397611889429671,
      -0.00050278459760717,
      -0.0006061743291424206,
      -0.0007078112763725069,
      -0.0008077251049862585,
      -0.0009059450258733842,
      -0.0010024997700565073,
      -0.0010974176439900822,
      -0.001190726278329442,
      -0.001282453009780351,
      -0.0013726247150340897,
      -0.0014612676934998544,
      -0.0015484078215011437,
      -0.0016340705075920054,
      -0.0017182809894765961,
      -0.0018010638032746136,
      -0.0018824430708586667,
      -0.0019624426708083824,
      -0.0020410860585003358,
      -0.0021183961992545922,
      -0.0021943955567490367,
      -0.0022691064548157093,
      -0.0023425508340871957,
      -0.002414750103003699,
      -0.0024857253426840884,
      -0.002555497230349673,
      -0.002624086229085865,
      -0.0026915123880184503,
      -0.0027577953893113175,
      -0.0028229546255065393,
      -0.0028870092181702495,
      -0.002949977851434967,
      -0.003011878972776381,
      -0.003072730597806341,
      -0.003132550508544317,
      -0.003191356208614708,
      -0.003249164972974663,
      -0.0033059936993251222,
      -0.0033618590318332756,
      -0.0034167772481813108,
      -0.003470764412706563,
      -0.003523836350379283,
      -0.0035760085943575817,
      -0.0036272962881146883,
      -0.0036777143529155166,
      -0.003727277635463943,
      -0.0037760007689326006,
      -0.00382389784245305,
      -0.0038709828126233183,
      -0.003917269494759754,
      -0.0039627714834524356,
      -0.004007502072374816,
      -0.004051474312892512,
      -0.0040947010462708796,
      -0.004137195011220754,
      -0.004178968499496459,
      -0.004220033824138381,
      -0.004260402941456945,
      -0.004300087689022656,
      -0.004339099583823581,
      -0.00437745015384621,
      -0.004415150537939691,
      -0.00445221177789653,
      -0.004488644670725446,
      -0.004524459919318219,
      -0.004559667900744819,
      -0.004594278923540033,
      -0.004628303210726842,
      -0.004661750698327015,
      -0.004694631169718289,
      -0.004726954160552081,
      -0.00475872915510901,
      -0.004789965369175162,
      -0.004820672015269466,
      -0.00485085807145881,
      -0.004880532424911813,
      -0.004909703677631578,
      -0.004938380396753608,
      -0.00496657083631455,
      -0.004994283357285849,
      -0.00502152607875242,
      -0.005048306981013923,
      -0.005074633885066901,
      -0.005100514439043203,
      -0.005125956179646101,
      -0.00515096660040538,
      -0.005175553091653658,
      -0.005199722747124137,
      -0.005223482595223319,
      -0.005246839664889262,
      -0.005269800777736834,
      -0.005292372593914406,
      -0.0053145616065805555,
      -0.005336374396231851,
      -0.005357817389466998,
      -0.005378896839616997
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334197466737221,
      10.09169937266345,
      9.842107850811804,
      9.588310778421988,
      9.332965620086142,
      9.078381567208638,
      8.826481511904552,
      8.578783303912806,
      8.33640028152945,
      8.100067619804742,
      7.870182214883107,
      7.6468531639104045,
      7.429958332859986,
      7.219201877919675,
      7.014168568968994,
      6.814372619909344,
      6.619300097224291,
      6.428443710286874,
      6.241330320373932,
      6.057541956386451,
      5.8767293169835435,
      5.698607136679745,
      5.52295224508017,
      5.349625686406367,
      5.178554442839564,
      5.009747536382289,
      4.843334296875719,
      4.679540793623728,
      4.518648485152954,
      4.360968084136196,
      4.2068456318300145,
      4.056659817862665,
      3.9107871552195386,
      3.769585975356166,
      3.6333856972032414,
      3.5024760836290905,
      3.3770973862741407,
      3.257434968367328,
      3.143615106707858,
      3.035690297664944,
      2.933635808205993,
      2.837358664107732,
      2.7466745314137464,
      2.6613296596671048,
      2.5810570889444677,
      2.505585634070492,
      2.434644191107634,
      2.3679659802343154,
      2.305277865421076,
      2.2462796285150075,
      2.190592483805412,
      2.137856756795185,
      2.0877400093632974,
      2.039933053144087,
      1.9941676223563323,
      1.9502196758634387,
      1.9079089143328327,
      1.867080389207393,
      1.8276049827207566,
      1.789368048184529,
      1.752272650539465,
      1.7162411025386866,
      1.6812111883009901,
      1.6471351677926909,
      1.6139715537215633,
      1.5816821820845575,
      1.5502317007360176,
      1.5195877372894773,
      1.4897200776687103,
      1.460599952866734,
      1.4321999814960331,
      1.4044941487045535,
      1.3774586388295056,
      1.3510697114774723,
      1.3253026604695624,
      1.3001345870395904,
      1.275544336843904,
      1.2515121647919931,
      1.228019504671586,
      1.205048807347468,
      1.1825834210189117,
      1.1606075024862303,
      1.1391062844389213,
      1.1180667761735155,
      1.0974767276712958,
      1.0773243855429202,
      1.05759798027929,
      1.0382858534479071,
      1.019376583134475,
      1.0008590557020853,
      0.9827225035565184,
      0.9649565214270363,
      0.9475510707294789,
      0.9304964750310649,
      0.9137834106229186,
      0.8974028949585998,
      0.8813462740698836,
      0.865605208219012,
      0.8501716588955817,
      0.8350378746059294,
      0.8201963782789987,
      0.8056399549820666,
      0.7913616397727469,
      0.7773547061372105,
      0.7636126554053816,
      0.75012920635413,
      0.7368982857281972,
      0.7239140186698356,
      0.7111707202292625,
      0.6986628870610495,
      0.6863851892440455,
      0.6743324630973807,
      0.6624997047423642,
      0.6508820624495928,
      0.6394748303333567,
      0.6282734431253785,
      0.6172734698792599,
      0.6064706087718933,
      0.5958606816063764,
      0.5854397263761882,
      0.5752046642118797,
      0.5651526009242581,
      0.5552803561455654,
      0.5455846073390744,
      0.536061976982134,
      0.5267090864005101,
      0.5175225889542732,
      0.5084991892332811,
      0.4996356540102426,
      0.490928818431834,
      0.48237558880053727,
      0.47397294336354473,
      0.46571793193263755,
      0.45760767471844443,
      0.44963936073512545,
      0.4418102964315206,
      0.43411814647262725,
      0.42656065013233324,
      0.41913545851206924,
      0.4118401893004574,
      0.40467245954873043,
      0.3976299063266241,
      0.3907101987563806,
      0.3839110450714854,
      0.37723019619119436,
      0.3706654475683318,
      0.36421469487909586,
      0.3578760144249361,
      0.351647480010353,
      0.34552714822789427,
      0.33951308051772605,
      0.33360335641992345,
      0.32779608199546717,
      0.3220893940284547,
      0.3164814624387516,
      0.3109705133075023,
      0.30555483004861317,
      0.3002327164061274,
      0.2950024980953895,
      0.28986252667754836,
      0.2848111822598965,
      0.279846874363541,
      0.27496804249485085,
      0.2701731560474138,
      0.26546071420079337,
      0.2608292452869704,
      0.2562773062891343,
      0.25180348256436247,
      0.24740638672511053,
      0.24308465837214638,
      0.23883696339689078,
      0.23466192203391217,
      0.23055801280959565,
      0.2265237968889339,
      0.22255793484858508,
      0.21865915840912098,
      0.21482625216499282,
      0.2110580418750495,
      0.2073533871864074,
      0.20371128646855974,
      0.20013110169579934,
      0.19661211933937323,
      0.19315350164629588,
      0.18975425658057282,
      0.1864133105075546,
      0.18312962144301279,
      0.179902175046597,
      0.1767299808663657,
      0.17361207010905524,
      0.17054749387206392,
      0.16753532194723963,
      0.1645746419575284,
      0.16166455871050928,
      0.15880419354435257,
      0.1559926839324234,
      0.15322918317429887,
      0.15051286003308603,
      0.14784289808966178,
      0.14521849572221324,
      0.14263886578285478,
      0.14010323519359158,
      0.13761084476634486,
      0.1351609487130714,
      0.13275281452483492,
      0.13038572287068922,
      0.12805896716653112,
      0.1257718532712368,
      0.1235236994171281,
      0.12131383586020542,
      0.11914160465006826,
      0.11700635938523805,
      0.11490746517011978,
      0.11284429825836753,
      0.11081624577635706,
      0.10882270565269304,
      0.1068630863415044,
      0.10493680662391847,
      0.10304329546901478,
      0.10118199186450523,
      0.09935234457905782,
      0.09755381193809251,
      0.09578586164414427,
      0.09404797074355141,
      0.0923396255292529,
      0.09066032088367691,
      0.08900956085959927,
      0.08738685776886103,
      0.08579173249598634,
      0.08422371420508455,
      0.0826823402983787,
      0.08116715606318839,
      0.07967771468418551,
      0.0782135770411277,
      0.07677431163952743,
      0.07535949433898831,
      0.07396870835603699,
      0.07260154428056707,
      0.07125759950175628,
      0.06993647839959811,
      0.0686377921291053,
      0.06736115867079868,
      0.06610620243518038,
      0.06487255427591805,
      0.06365985141151334,
      0.0624677372624978,
      0.061295861492536415,
      0.06014387965604544,
      0.05901145338601264,
      0.05789824995841642,
      0.05680394232930768,
      0.05572820908170847,
      0.05467073429487159,
      0.05363120751341818,
      0.052609323453807054,
      0.05160478209938998,
      0.05061728869396685,
      0.049646553453117484,
      0.04869229150101241,
      0.04775422285119854,
      0.04683207225593899,
      0.04592556923310389,
      0.04503444792274589,
      0.04415844708584876,
      0.04329730967797083,
      0.042450783151883054,
      0.04161861933763201,
      0.040800574384168835,
      0.039996408466520424,
      0.03920588588925327,
      0.03842877477998556,
      0.037664847465339595,
      0.036913879991410735,
      0.03617565232644965,
      0.035449948164984334,
      0.03473655487371091,
      0.034035263451173775,
      0.033345868355239734,
      0.03266816768750333,
      0.03200196303524125,
      0.03134705918690718,
      0.03070326427366683,
      0.030070389770777535,
      0.029448250181337173,
      0.02883666339324133,
      0.028235450285670895,
      0.027644434881912934,
      0.027063444055846937,
      0.026492307695217487,
      0.02593085851985466,
      0.025378932197569384,
      0.024836367127592737,
      0.0243030044256647,
      0.023778688002452454,
      0.02326326432800282,
      0.02275658237820747,
      0.022258493991793957,
      0.021768853417521276,
      0.021287517290760345,
      0.02081434472136003,
      0.02034919715541431,
      0.0198919384053582,
      0.019442434720898637,
      0.0190005544878915,
      0.018566168419146503,
      0.018139149391416712,
      0.017719372488080715,
      0.017306714751621665,
      0.016901055452481,
      0.01650227594038653,
      0.016110259427563178,
      0.015724891148185698,
      0.015346058340949193,
      0.01497365011263166,
      0.014607557550522041,
      0.014247673524352158,
      0.01389389277541267,
      0.013546111713702274,
      0.013204228539873913,
      0.012868143304064921,
      0.012537757666571092,
      0.012212974913084138,
      0.011893700065439447,
      0.011579839648769592,
      0.011271301897661595,
      0.010967996491594348,
      0.01066983462053122,
      0.010376729100926102,
      0.010088594256526208,
      0.009805345753871505,
      0.009526900647028725,
      0.009253177529029318,
      0.00898409626366829,
      0.008719578141681178,
      0.008459545724633437,
      0.008203922986374498,
      0.007952635123026847,
      0.007705608691969003,
      0.007462771380882869,
      0.007224052080316027,
      0.006989381005425045,
      0.006758689523912271,
      0.006531910166445223,
      0.0063089764955025,
      0.006089823442961744,
      0.005874386850856289,
      0.005662603626829287,
      0.005454411808215433,
      0.005249750586023407,
      0.005048559977142517,
      0.004850781110757321,
      0.004656356207062865,
      0.004465228458734377,
      0.00427734183330836,
      0.004092641349495995,
      0.003911072994933295,
      0.0037325836478349105,
      0.003557121071997052,
      0.0033846340425233187,
      0.003215071966566313,
      0.003048385315260494,
      0.002884525307435602,
      0.002723444068101761,
      0.002565094529987388,
      0.002409430197662694,
      0.002256405556709897,
      0.002105975882251116,
      0.0019580971081061085,
      0.0018127260608799434,
      0.0016698202266892468,
      0.0015293378133748171,
      0.0013912377583416686,
      0.0012554795990085666,
      0.0011220236129169182,
      0.0009908307636945926,
      0.000861862668564736,
      0.0007350816512537032,
      0.0006104505750786901,
      0.00048793304699382763,
      0.0003674930775564176,
      0.00024909549290010036,
      0.0001327056505057859,
      1.8289474903338267e-05,
      -9.418649801886072e-05,
      -0.0002047551188266441,
      -0.00031344870245337707,
      -0.000420299078989696,
      -0.0005253375403419235,
      -0.0006285946831386332,
      -0.0007301008152252502,
      -0.00082988565483004,
      -0.0009279782690866321,
      -0.0010244074553630044,
      -0.0011192013452508073,
      -0.0012123877186716845,
      -0.0013039938712162487,
      -0.0013940466069988257,
      -0.0014825722417122812,
      -0.0015695967825796638,
      -0.0016551455342272065,
      -0.0017392434842472316,
      -0.0018219152867695626,
      -0.001903185168478205,
      -0.0019830769282740287,
      -0.002061613922655165,
      -0.002138819087268631,
      -0.0022147149570617398,
      -0.0022893238568103052,
      -0.002362667537068072,
      -0.0024347674815615064,
      -0.002505644782109421,
      -0.002575320145123343,
      -0.0026438139090693633,
      -0.0027111462072400092,
      -0.0027773366712915493,
      -0.0028424046866381007,
      -0.0029063692203221774,
      -0.0029692491118929504,
      -0.003031062708239127,
      -0.0030918281267410487,
      -0.0031515630399753655,
      -0.0032102849359061433,
      -0.003268011008449456,
      -0.003324758129662599,
      -0.0033805429222765033,
      -0.003435381691262868,
      -0.003489290589909425,
      -0.0035422853266750243,
      -0.003594381437058678,
      -0.0036455941535930994,
      -0.0036959383574902056,
      -0.003745428764513263,
      -0.003794079829903869,
      -0.003841905843291669,
      -0.0038889208830254923,
      -0.003935138687052552,
      -0.00398057278943619,
      -0.004025236439994393,
      -0.004069142783566364,
      -0.004112304523460612,
      -0.004154734194118544,
      -0.004196444362941694,
      -0.0042374471069381095,
      -0.004277754550322323,
      -0.004317378447388502,
      -0.004356330502492314,
      -0.004394621976882086,
      -0.004432264082804232,
      -0.0044692678366990415,
      -0.004505644159803835,
      -0.004541403660012462,
      -0.004576556769134094,
      -0.004611113809279059,
      -0.004645084797870729,
      -0.004678479671604327,
      -0.004711308191760464,
      -0.004743579944466134,
      -0.004775304460950148,
      -0.004806490994185527,
      -0.004837148625173732,
      -0.004867286336762431,
      -0.004896912953542838,
      -0.004926037112754859,
      -0.004954667457457071,
      -0.004982812269406963,
      -0.005010479902630696,
      -0.005037678345317813,
      -0.005064415518414335,
      -0.005090699217576351,
      -0.005116537150215706,
      -0.005141937016668581,
      -0.005166906247736977,
      -0.0051914520911461376,
      -0.005215581716354574,
      -0.0052393021536805695,
      -0.0052626203281272,
      -0.005285543048582453,
      -0.005308077015252276,
      -0.0053302288653047985,
      -0.005352005014242494,
      -0.005373411821146531,
      -0.005394455626347462
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334195160829017,
      10.09168906416072,
      9.84208429465622,
      9.588269304822768,
      9.332902170179878,
      9.078293328259907,
      8.826366710008358,
      8.578640897275722,
      8.336229778533953,
      8.099868946886051,
      7.869955522581324,
      7.646598714043798,
      7.42967642873211,
      7.218892772601733,
      7.013832493342241,
      6.814009840910971,
      6.618910949664008,
      6.428028571403271,
      6.240889647383416,
      6.0570763266138234,
      5.876239490570014,
      5.698094153232148,
      5.522417363234109,
      5.349070323774219,
      5.177980151279723,
      5.009156521172461,
      4.842729520530408,
      4.67892546495561,
      4.518025911588777,
      4.360341640865088,
      4.206218989568172,
      4.0560366920390845,
      3.9101710964981407,
      3.7689803070888925,
      3.632793459017945,
      3.501899990027379,
      3.3765397903774717,
      3.2568978390033756,
      3.1430999328165097,
      3.0351979628632697,
      2.933166646773685,
      2.8369124978120652,
      2.7462505140896427,
      2.6609266687919506,
      2.580673771330714,
      2.5052204687878343,
      2.4342957036097808,
      2.3676327493438816,
      2.3049583271776846,
      2.245971794114433,
      2.190294283864847,
      2.1375661691221537,
      2.087454981561707,
      2.039651902175873,
      1.9938890324515768,
      1.9499426732001734,
      1.9076327771085515,
      1.8668045800878135,
      1.827329057141367,
      1.7890915907788343,
      1.7519953849374486,
      1.7159628474116941,
      1.6809321395279588,
      1.6468557080193948,
      1.6136919324551426,
      1.5814025623146424,
      1.549952198699822,
      1.5193084441399478,
      1.4894410540169967,
      1.460321239719862,
      1.431921607688349,
      1.40421614234257,
      1.3771810327307992,
      1.3507925451972675,
      1.3250259682856282,
      1.2998583942654907,
      1.2752686628854084,
      1.2512370262843762,
      1.2277449168666446,
      1.2047747843624634,
      1.1823099769305303,
      1.1603346515407749,
      1.1388340523340887,
      1.117795194452946,
      1.0972058326398284,
      1.0770542093430389,
      1.0573285486631248,
      1.0380171882525067,
      1.0191087037166247,
      1.000591979180651,
      0.9824562458464237,
      0.9646910982539251,
      0.9472864974554179,
      0.9302327667681441,
      0.9135205823289735,
      0.8971409617705184,
      0.8810852507557559,
      0.8653451094789146,
      0.849912499188509,
      0.8347796682152514,
      0.8199391397190563,
      0.8053836986784986,
      0.7911063802627074,
      0.7771004576459518,
      0.7633594319940417,
      0.7498770219263766,
      0.7366471538972623,
      0.7236639528157925,
      0.7109217333403551,
      0.6984149916894333,
      0.6861383980342652,
      0.6740867886935242,
      0.662255159124985,
      0.6506386571767122,
      0.639232576998545,
      0.628032352992387,
      0.6170335539638546,
      0.6062318778128087,
      0.5956231463311831,
      0.5852034367699567,
      0.5749697229267823,
      0.5649190727236071,
      0.5550482828347791,
      0.5453540162185248,
      0.5358328859384941,
      0.526481507332141,
      0.5172965299738884,
      0.5082746558078485,
      0.4994126498812346,
      0.49070734621734435,
      0.482155650307034,
      0.47375453993934585,
      0.4655010645333723,
      0.45739234368512505,
      0.44942556614987805,
      0.4415980493503511,
      0.43390747237005095,
      0.42635156380501094,
      0.4189279681066003,
      0.4116342986302384,
      0.4044681698313839,
      0.39742721688943017,
      0.3905091076800503,
      0.3837115494435421,
      0.377032292478358,
      0.37046913211010235,
      0.36401997226384547,
      0.3576828890356262,
      0.3514559524925144,
      0.3453372168107979,
      0.3393247418016695,
      0.33341660610324725,
      0.32761091489578475,
      0.3219058042883929,
      0.3162994440567945,
      0.3107900616705495,
      0.3053759403628792,
      0.3000553830537183,
      0.2948267146594154,
      0.28968828649651746,
      0.2846384781637684,
      0.27967569904231016,
      0.27479838843169385,
      0.27000501557621853,
      0.2652940794849133,
      0.26066410849900923,
      0.2561136595977181,
      0.2516413177378414,
      0.24724569560974777,
      0.24292543274563286,
      0.23867919499771986,
      0.23450560956118455,
      0.2304031552580784,
      0.22637039044857005,
      0.22240597386131467,
      0.21850863598665343,
      0.2146771606606641,
      0.21091037324989068,
      0.2072071329401366,
      0.2035664318439572,
      0.19998762907882364,
      0.19647001432064637,
      0.19301275147278024,
      0.18961484619594232,
      0.18627522588572767,
      0.1829928504808508,
      0.17976670667009845,
      0.17659580472555533,
      0.17347917624252654,
      0.17041587257624524,
      0.16740496367117194,
      0.1644455372359925,
      0.16153669815392743,
      0.15867756783461245,
      0.15586728389490442,
      0.1531049995062136,
      0.15038988333634903,
      0.1477211190682399,
      0.14509790520118138,
      0.1425194544347637,
      0.13998499354374316,
      0.1374937633690689,
      0.1350450181936862,
      0.13263802557092957,
      0.13027206612763098,
      0.12794643326622285,
      0.12566043281570688,
      0.12341338295555744,
      0.12120461398614896,
      0.11903346800317105,
      0.1168992986655384,
      0.1148014711078369,
      0.11273936149442691,
      0.11071235695856489,
      0.10871985551269307,
      0.10676126551715874,
      0.10483600585035863,
      0.10294350552137656,
      0.10108320364740091,
      0.09925454895524553,
      0.0974569997795209,
      0.09569002392095433,
      0.09395309844790131,
      0.09224570954187265,
      0.09056735241237206,
      0.08891753091816026,
      0.08729575737413474,
      0.08570155273099495,
      0.08413444628239465,
      0.0825939753312105,
      0.08107968523042379,
      0.07959112916005923,
      0.07812786816676678,
      0.07668947078613525,
      0.0752755129812375,
      0.0738855780694065,
      0.07251925642395121,
      0.07117614560871616,
      0.06985585008010707,
      0.06855798108600715,
      0.0672821565067394,
      0.06602800085363408,
      0.06479514503727371,
      0.0635832264295209,
      0.06239188857697664,
      0.06122078106473857,
      0.06006955944011561,
      0.058937885343146486,
      0.05782542608690153,
      0.056731854809275464,
      0.055656850054516385,
      0.05460009603706572,
      0.053561282228992216,
      0.05254010365511478,
      0.0515362602953248,
      0.050549457396658434,
      0.04957940512696668,
      0.048625818747054676,
      0.04768841834043059,
      0.0467669287110354,
      0.045861079438467754,
      0.044970604658838564,
      0.04409524317457059,
      0.043234738133285724,
      0.042388837111443645,
      0.04155729193465566,
      0.04073985860030508,
      0.03993629739723047,
      0.03914637269176065,
      0.038369852678657855,
      0.03760650970006353,
      0.03685611998868443,
      0.03611846352125835,
      0.035393324077223134,
      0.0346804890639045,
      0.0339797494957289,
      0.03329090001877899,
      0.032613738752111196,
      0.03194806720653273,
      0.03129369022227979,
      0.030650416078887226,
      0.03001805629995185,
      0.029396425540649,
      0.02878534165901278,
      0.02818462558323723,
      0.02759410129899522,
      0.027013595848618368,
      0.026442939170553757,
      0.025881964083136276,
      0.025330506229046784,
      0.02478840404958338,
      0.024255498820861393,
      0.02373163435076856,
      0.023216657284345972,
      0.022710416764271407,
      0.02221276459132895,
      0.02172355490510126,
      0.021242644351033513,
      0.02076989216179455,
      0.020305159917801827,
      0.01984831154611889,
      0.01939921321990576,
      0.018957733451696226,
      0.018523742915402774,
      0.01809711455684582,
      0.017677723433264795,
      0.017265446745268833,
      0.01686016377570664,
      0.016461755893742155,
      0.01607010642087087,
      0.015685100752372706,
      0.015306626118129298,
      0.01493457175795307,
      0.01456882862697213,
      0.014209289763621917,
      0.01385584982570935,
      0.013508405320080236,
      0.013166854527378301,
      0.012831097478670759,
      0.012501035913445932,
      0.01217657317411531,
      0.011857614354916834,
      0.011544066006134538,
      0.01123583633536048,
      0.010932835150480399,
      0.01063497363299921,
      0.01034216465223479,
      0.010054322525116278,
      0.009771363036556555,
      0.009493203274240112,
      0.009219761844325493,
      0.008950958749191669,
      0.00868671527720386,
      0.008426954062835898,
      0.008171599145609833,
      0.007920575704124962,
      0.007673810258655457,
      0.007431230573403294,
      0.007192765646799864,
      0.006958345642795658,
      0.006727901934888414,
      0.006501367065814182,
      0.006278674819950672,
      0.006059760033449792,
      0.00584455861855349,
      0.005633007534515134,
      0.005425044788448621,
      0.005220609579977839,
      0.005019642100891183,
      0.004822083440146221,
      0.004627875823690611,
      0.004436962476512172,
      0.004249287438109477,
      0.004064795800809462,
      0.00388343350698239,
      0.0037051474612920495,
      0.003529885519481705,
      0.0033575964555501983,
      0.0031882299385875596,
      0.0030217362335744342,
      0.002858066616985416,
      0.00269717317879989,
      0.0025390088383276323,
      0.0023835272929205813,
      0.0022306830460761423,
      0.002080431413302655,
      0.0019327283911858063,
      0.0017875307456152482,
      0.0016447960837371945,
      0.0015044825602311069,
      0.0013665489867682437,
      0.0012309551345576343,
      0.0010976613154487927,
      0.0009666284490682445,
      0.0008378182145926913,
      0.0007111927858630267,
      0.0005867151536526227,
      0.0004643489802520704,
      0.0003440585522396697,
      0.00022580858315106826,
      0.00010956439295252585,
      -4.7081072570502835e-06,
      -0.00011704233281951656,
      -0.00022747112476431322,
      -0.00033602678981618144,
      -0.0004427411826880686,
      -0.0005476454939301108,
      -0.0006507703850378997,
      -0.0007521460454712031,
      -0.0008518021391713857,
      -0.000949767863877534,
      -0.001046071823980054,
      -0.0011407422130283677,
      -0.0012338067776468168,
      -0.0013252928823349885,
      -0.0014152271841503183,
      -0.001503635972911976,
      -0.0015905451277927164,
      -0.001675980168309278,
      -0.0017599660236304207,
      -0.0018425272131803345,
      -0.001923687968307216,
      -0.0020034720156588298,
      -0.0020819027340529916,
      -0.0021590030681356265,
      -0.002234795732871798,
      -0.002309302889393896,
      -0.002382546225599964,
      -0.0024545471620696768,
      -0.00252532673891907,
      -0.0025949058068180965,
      -0.0026633046124825985,
      -0.0027305431389431757,
      -0.0027966411841264323,
      -0.0028616180885759532,
      -0.002925492805203985,
      -0.002988284049902878,
      -0.003050010254114807,
      -0.003110689408310133,
      -0.003170339380717414,
      -0.0032289776057825023,
      -0.003286621139766473,
      -0.0033432869567850865,
      -0.003398991614799195,
      -0.0034537513014247173,
      -0.0035075820820056423,
      -0.0035604999308951847,
      -0.0036125201260625533,
      -0.0036636579074865914,
      -0.0037139282057383734,
      -0.003763345796204041,
      -0.003811925159874175,
      -0.003859680457557851,
      -0.003906625776238971,
      -0.003952774809063138,
      -0.003998141036390286,
      -0.0040427377405273775,
      -0.004086577930690848,
      -0.004129674502099221,
      -0.004172040038623558,
      -0.0042136869767596665,
      -0.004254627488898618,
      -0.00429487355024568,
      -0.004334436947636493,
      -0.0043733293323494175,
      -0.004411562023879342,
      -0.004449146315478384,
      -0.00448609307931086,
      -0.004522413051031538,
      -0.004558116878130544,
      -0.004593215072741637,
      -0.004627717951265924,
      -0.004661635617463713,
      -0.004694977976796263,
      -0.004727754826122682,
      -0.004759975714061778,
      -0.004791649978477806,
      -0.00482278699953168,
      -0.00485339588009251,
      -0.004883485526080355,
      -0.004913064770525898,
      -0.0049421421665103125,
      -0.004970726313398667,
      -0.0049988255852176245,
      -0.005026448220723864,
      -0.005053602381272883,
      -0.0050802960429327205,
      -0.005106536919601369,
      -0.005132332715951745,
      -0.005157690960544735,
      -0.005182619035256456,
      -0.0052071243506113096,
      -0.00523121401243277,
      -0.005254895084967286,
      -0.005278174459528572,
      -0.005301058907222837,
      -0.005323555105219506,
      -0.0053456697586240385,
      -0.005367409270445003,
      -0.005388780027714971,
      -0.00540978821009785
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.33419285675187,
      10.091678765315557,
      9.842060758447076,
      9.588227862735284,
      9.332838766792888,
      9.078205150862035,
      8.826251988040976,
      8.578498591000915,
      8.336059409162829,
      8.099670446980102,
      7.869729039217515,
      7.646344506745601,
      7.429394799737192,
      7.218583983593419,
      7.013496772942672,
      6.813647478382431,
      6.618522274042879,
      6.427613954510621,
      6.2404495434275615,
      6.0566113097839525,
      5.8757503203339265,
      5.697581867602573,
      5.521883220386023,
      5.348515738538296,
      5.177406673917059,
      5.008566355776637,
      4.842125628025613,
      4.678311053068253,
      4.517404285133931,
      4.359716172035615,
      4.205593346862283,
      4.055414589514825,
      3.909556081440166,
      3.7683756976877976,
      3.6322022898448147,
      3.5013249717254986,
      3.3759832722802448,
      3.256361784592579,
      3.142585826471812,
      3.0347066844278783,
      2.932698526922263,
      2.836467307396558,
      2.7458273691110544,
      2.6605244625193105,
      2.580291163519018,
      2.50485594959673,
      2.433947809032926,
      2.3673000672112545,
      2.304639301218579,
      2.2456644417114395,
      2.1899965409074498,
      2.1372760190086586,
      2.087170376758885,
      2.0393711639773153,
      1.993610848274658,
      1.9496660721056802,
      1.907357039024875,
      1.8665291688645222,
      1.8270535297620019,
      1.7888155318021748,
      1.7517185187864697,
      1.715684993552124,
      1.680653495599368,
      1.6465766568511258,
      1.6134127237377545,
      1.5811233598321348,
      1.5496731183148815,
      1.5190295772426234,
      1.4891624614062053,
      1.460042962642972,
      1.431643674916755,
      1.403938581972492,
      1.3769038780801208,
      1.3505158354587419,
      1.3247497379867608,
      1.2995826689716157,
      1.2749934623580264,
      1.250962367364107,
      1.2274708144030435,
      1.2045012526827998,
      1.182037029814711,
      1.1600623025330732,
      1.1385623305513464,
      1.1175241300288474,
      1.0969354611851803,
      1.076784563071095,
      1.057059652736976,
      1.037749063768454,
      1.0188413692886173,
      1.0003254523511318,
      0.9821905429512097,
      0.9644262346731488,
      0.9470224882529379,
      0.9299696267525056,
      0.9132583265550434,
      0.8968796050073349,
      0.880824807853611,
      0.8650855952113603,
      0.8496539281298581,
      0.8345220554167244,
      0.8196824995900334,
      0.8051280453278074,
      0.790851727748517,
      0.7768468202626031,
      0.7631068236559588,
      0.7496254564037534,
      0.7363966445287351,
      0.723414512869968,
      0.7106733760343298,
      0.698167730221218,
      0.6858922448912367,
      0.6738417562968139,
      0.6620112595213838,
      0.6503959022028399,
      0.6389909781795906,
      0.6277919217613463,
      0.6167943013115641,
      0.6059938142578803,
      0.5953862820576137,
      0.5849678215297656,
      0.574735458964558,
      0.5646862252118665,
      0.5548168937370433,
      0.545124112411441,
      0.5356044850905644,
      0.5262546215056342,
      0.5170711670393099,
      0.508050820836726,
      0.4991903465228489,
      0.490486577045396,
      0.4819364172328928,
      0.473536844132845,
      0.46528490669082007,
      0.457177724467896,
      0.44921248575161676,
      0.4413865187048909,
      0.43369751695119013,
      0.4261431984538181,
      0.41872120088071973,
      0.4114291332729239,
      0.40426460725368546,
      0.3972252563835192,
      0.3903087471807238,
      0.38351278621306195,
      0.37683512327594376,
      0.3702735530246589,
      0.36382598767429175,
      0.3574905031809117,
      0.3512651659898135,
      0.3451480277978949,
      0.3391371468509596,
      0.3332306007580912,
      0.3274264938432012,
      0.32172296183112165,
      0.3161181740850747,
      0.3106103594229601,
      0.30519780105996425,
      0.2998788009238205,
      0.29465168343363896,
      0.2895147993904817,
      0.28446652810980494,
      0.2795052788288631,
      0.2746294906116129,
      0.2698376324988532,
      0.2651282033892287,
      0.2604997315533561,
      0.2559507737214265,
      0.2514799149033801,
      0.24708576759629397,
      0.24276697123389118,
      0.23852219152290666,
      0.2343500628421421,
      0.2302490643287755,
      0.22621775150719745,
      0.22225478126493087,
      0.21835888289425795,
      0.21452883947976925,
      0.21076347595188347,
      0.20706165119463563,
      0.20342235296746453,
      0.19984493472087264,
      0.1963286893611581,
      0.1928727811225963,
      0.18947621468662745,
      0.1861379199153172,
      0.18285685829021314,
      0.17963201745580168,
      0.17646240822093634,
      0.17334706268831634,
      0.170285032367438,
      0.1672753874305168,
      0.1643172155693664,
      0.1614096216086013,
      0.15855172706679527,
      0.15574266955062688,
      0.15298160227981686,
      0.15026769386330446,
      0.1476001279316323,
      0.14497810292482963,
      0.14240083166639364,
      0.13986754099666746,
      0.13737747166796996,
      0.13492987790441524,
      0.13252402724859066,
      0.13015920033884634,
      0.12783469057285282,
      0.12554980386650777,
      0.12330385843147458,
      0.12109618450706947,
      0.11892612425696096,
      0.116793031320847,
      0.11469627071367565,
      0.11263521863336831,
      0.1106092623172168,
      0.10861779971707455,
      0.10666023938739232,
      0.10473600028053026,
      0.10284451137866221,
      0.1009852116960542,
      0.09915755005388976,
      0.09736098479834375,
      0.09559498375454178,
      0.09385902397052229,
      0.09215259168342253,
      0.09047518209446287,
      0.08882629915541064,
      0.08720545528339804,
      0.08561217145188392,
      0.08404597699627794,
      0.08250640921016901,
      0.08099301344677654,
      0.07950534315957349,
      0.07804295930976012,
      0.07660543036689785,
      0.0751923323614643,
      0.07380324861133386,
      0.07243776975444159,
      0.07109549322549787,
      0.06977602353352326,
      0.0684789719317309,
      0.06720395639520775,
      0.06595060150503843,
      0.06471853828700848,
      0.06350740422623485,
      0.06231684272026074,
      0.061146503476439885,
      0.05999604220080358,
      0.05886512049345144,
      0.05775340571843308,
      0.056660570996524634,
      0.055586295076157456,
      0.05453026217142941,
      0.05349216182367614,
      0.05247168896731152,
      0.05146854371053379,
      0.05048243132939404,
      0.04951306223368412,
      0.0485601516500227,
      0.04762341960902523,
      0.04670259104317458,
      0.04579739554679698,
      0.0449075673700476,
      0.04403284529682431,
      0.043172972539872026,
      0.042327696697443115,
      0.04149676965958787,
      0.040679947588175315,
      0.03987699080826159,
      0.03908766367060331,
      0.038311734588706,
      0.03754897593238378,
      0.0367991639620129,
      0.03606207875830655,
      0.03533750405876093,
      0.034625227407160515,
      0.03392503984033858,
      0.03323673597045411,
      0.032560113985163404,
      0.03189497552205183,
      0.031241125504896158,
      0.030598372241135686,
      0.029966527163414514,
      0.029345405091754158,
      0.028734823955512384,
      0.02813460478215586,
      0.027544571538487012,
      0.026964551333396782,
      0.02639437414891836,
      0.02583387295844549,
      0.02528288341073503,
      0.024741243937760442,
      0.02420879579712153,
      0.02368538300449607,
      0.02317085224504486,
      0.022665052693546902,
      0.022167836093512517,
      0.0216790568513879,
      0.02119857164635366,
      0.02072623966771737,
      0.020261922515172358,
      0.019805484146740996,
      0.019356790842246636,
      0.018915711105941396,
      0.01848211571106485,
      0.018055877817370426,
      0.01763687244861214,
      0.017224976785420006,
      0.016820070174040615,
      0.016422033965017728,
      0.016030751582840688,
      0.015646108418789627,
      0.015267991846421565,
      0.01489629109797282,
      0.014530897154535814,
      0.014171703044240877,
      0.013818603613327833,
      0.013471495432390795,
      0.013130276823066883,
      0.012794847783972425,
      0.012465110063099387,
      0.012140967096799462,
      0.01182232401273908,
      0.011509087518760659,
      0.011201165766041939,
      0.010898468510385267,
      0.01060090708922593,
      0.010308394410882889,
      0.010020844873795565,
      0.009738174329651364,
      0.009460299855076596,
      0.009187140018240083,
      0.00891861488976812,
      0.008654645850231384,
      0.008395155491645124,
      0.00814006789253826,
      0.007889308326557638,
      0.007642803376315948,
      0.007400480867931437,
      0.0071622698742311135,
      0.00692810063353499,
      0.006697904479363925,
      0.006471613971961051,
      0.00624916288170984,
      0.0060304861135833205,
      0.005815519623467452,
      0.005604200370419,
      0.0053964664573252505,
      0.005192257117039317,
      0.00499151251191912,
      0.004794173791647225,
      0.0046001832757155085,
      0.00440948413174168,
      0.004222020559457905,
      0.004037737616138028,
      0.0038565812937437246,
      0.0036784986122245992,
      0.003503437436837072,
      0.003331346496384584,
      0.003162175353333526,
      0.0029958744731160268,
      0.0028323951512495386,
      0.002671689506081887,
      0.0025137105008027675,
      0.002358411892290198,
      0.0022057481896775783,
      0.0020556746093847124,
      0.0019081472555740222,
      0.001763122941291975,
      0.0016205592034778228,
      0.0014804142317755504,
      0.0013426470987179854,
      0.001207217382921703,
      0.0010740854937052939,
      0.0009432123438528022,
      0.0008145596798721905,
      0.000688089817028144,
      0.0005637655934821431,
      0.000441550682274711,
      0.00032140941041960963,
      0.000203306587144764,
      8.72076331280031e-05,
      -2.6921561928354822e-05,
      -0.0001391143722263832,
      -0.0002494036625139657,
      -0.0003578218216550557,
      -0.0004644004443172116,
      -0.0005691707732636738,
      -0.0006721635674524969,
      -0.0007734089429785725,
      -0.0008729364848917227,
      -0.0009707754714608715,
      -0.0010669544802213876,
      -0.0011615016593330616,
      -0.001254444729755961,
      -0.0013458108398068575,
      -0.001435626760678474,
      -0.0015239188007153297,
      -0.0016107128071366373,
      -0.0016960341653499667,
      -0.0017799077844462853,
      -0.0018623583792313442,
      -0.0019434100902701022,
      -0.002023086706062093,
      -0.0021014115080344327,
      -0.002178407451156426,
      -0.0022540970441199655,
      -0.0023285024373579325,
      -0.002401645434227379,
      -0.0024735473412197326,
      -0.0025442293695482543,
      -0.002613712177656465,
      -0.0026820160732703977,
      -0.0027491610993772035,
      -0.002815166928471543,
      -0.002880052901642188,
      -0.002943837964638768,
      -0.0030065407358055565,
      -0.003068179693676353,
      -0.003128772836031796,
      -0.003188337909644454,
      -0.0032468923781178924,
      -0.0033044533505943484,
      -0.0033610377124381995,
      -0.0034166620644580413,
      -0.0034713426033005945,
      -0.0035250953571638478,
      -0.0035779361593707764,
      -0.0036298804881194514,
      -0.003680943438035387,
      -0.0037311399703452057,
      -0.0037804848761353086,
      -0.003828992586307062,
      -0.0038766772730337608,
      -0.003923552911459974,
      -0.003969633226482081,
      -0.0040149316959416596,
      -0.004059461577814402,
      -0.004103235962393791,
      -0.00414626770289084,
      -0.00418856926221225,
      -0.004230153003689325,
      -0.004271031252300996,
      -0.004311215961436244,
      -0.004350718861634237,
      -0.0043895515192402135,
      -0.004427725439187942,
      -0.0044652516774497065,
      -0.0045021412536527085,
      -0.0045384049587726665,
      -0.0045740533466815305,
      -0.004609096883635195,
      -0.004643545900395266,
      -0.004677410302003256,
      -0.004710700090166037,
      -0.004743425147936351,
      -0.004775594954016773,
      -0.004807219008478585,
      -0.00483830652606624,
      -0.0048688666060741955,
      -0.0048989082682372575,
      -0.004928440246280541,
      -0.004957471098589747,
      -0.004986009356246482,
      -0.005014063480242396,
      -0.00504164162754189,
      -0.0050687518930089635,
      -0.005095402188486065,
      -0.005121600254750164,
      -0.005147353806581953,
      -0.005172670461130027,
      -0.005197557532408728,
      -0.005222022269955767,
      -0.00524607197016519,
      -0.005269713591167865,
      -0.005292954123893509,
      -0.005315800301285874,
      -0.00533825889206826,
      -0.005360336409140581,
      -0.005382039294289947,
      -0.005403373905225518,
      -0.005424346496085798
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334190552267819,
      10.091668466063979,
      9.842037220104329,
      9.588186415423273,
      9.332775353101228,
      9.078116957760713,
      8.82613724156198,
      8.578356247664603,
      8.335888988714279,
      8.099471882376022,
      7.869502475766109,
      7.646090204280769,
      7.429113063477304,
      7.218275105546329,
      7.01316100288778,
      6.813285109720073,
      6.618133626426113,
      6.427199391990006,
      6.2400095125947335,
      6.056146380062507,
      5.875261245100233,
      5.6970696809551695,
      5.521349176762866,
      5.34796125265363,
      5.1768332945867135,
      5.007976284755734,
      4.841521824191254,
      4.677696720927442,
      4.5167827275093115,
      4.359090760008753,
      4.204967747545905,
      4.054792514970519,
      3.9089410781539176,
      3.7677710826101154,
      3.6316110958644425,
      3.5007499076768225,
      3.3754266863946754,
      3.2558256400805576,
      3.142071606262832,
      3.0342152676963483,
      2.932230243969169,
      2.836021929676224,
      2.745404014312525,
      2.6601220247565958,
      2.5799083036178843,
      2.504491158883694,
      2.433599624251494,
      2.3669670772561275,
      2.3043199506960828,
      2.245356751242403,
      2.1896984508858597,
      2.136985515118533,
      2.086885413852082,
      2.0390900658491606,
      1.9933323054242782,
      1.9493891148096403,
      1.9070809485174292,
      1.8662534102125803,
      1.8267776604429475,
      1.7885391370113128,
      1.7514413227871595,
      1.7154068160521525,
      1.6803746183911306,
      1.6462974314391752,
      1.6131333801825263,
      1.5808440484110777,
      1.5493939461973116,
      1.5187506307245877,
      1.4888837974563043,
      1.4597646199951648,
      1.431365680435299,
      1.4036609624534084,
      1.3766266656399322,
      1.3502390688489636,
      1.3244734509861102,
      1.2993068863428783,
      1.2747182044307486,
      1.2506876510356848,
      1.2271966551373106,
      1.204227664555989,
      1.1817640267110139,
      1.1597898984567725,
      1.1382905543168829,
      1.1172530114681574,
      1.0966650352515923,
      1.0765148623879974,
      1.056790703285243,
      1.0374808864462275,
      1.0185739825143763,
      1.0000588729648174,
      0.9819247870949205,
      0.9641613182970049,
      0.9467584266867635,
      0.9297064351240943,
      0.9129960195802098,
      0.8966181975257979,
      0.8805643143818209,
      0.864826030242108,
      0.8493953062126963,
      0.8342643907650449,
      0.8194258068941802,
      0.8048723392824221,
      0.7905970224647998,
      0.7765931294540165,
      0.7628541608852322,
      0.7493738351388,
      0.7361460784656247,
      0.7231650154303415,
      0.7104249603589504,
      0.6979204090999321,
      0.6856460311138965,
      0.6735966621277582,
      0.6617672970015082,
      0.6501530833137018,
      0.6387493143609186,
      0.6275514239775087,
      0.6165549803613652,
      0.6057556805399378,
      0.5951493459370363,
      0.5847321325542092,
      0.5745011196275869,
      0.564453300625975,
      0.5545854256236477,
      0.5448941278072211,
      0.535376001717514,
      0.5260276508649485,
      0.51684571676469,
      0.5078268967480202,
      0.4989679525798529,
      0.4902657158747539,
      0.48171709064249363,
      0.47331905333767255,
      0.46506865247939305,
      0.4569630072083814,
      0.4489993057976669,
      0.4411748870188028,
      0.4334874588531647,
      0.42593472867713666,
      0.41851432734465577,
      0.4112238597037688,
      0.4040609346922028,
      0.39702318401704845,
      0.39010827311310603,
      0.38331390766691936,
      0.3766378368379235,
      0.3700778549866635,
      0.3636318824850526,
      0.35729799529666856,
      0.35107425602431275,
      0.3449587139189988,
      0.33894942558019914,
      0.3330444675448176,
      0.32724194344073626,
      0.32153998851461607,
      0.3159367718900445,
      0.31043052393217724,
      0.30501952740212357,
      0.2997020832955335,
      0.2944765154796568,
      0.2893411744392259,
      0.28429443920260067,
      0.27933471844027746,
      0.2744604511538664,
      0.2696701064425724,
      0.2649621829753907,
      0.26033520865503557,
      0.2557877403130279,
      0.2513183628921937,
      0.24692568877945495,
      0.24260835732956657,
      0.23836503419969945,
      0.23419435782881157,
      0.23009481175136945,
      0.22606494818398878,
      0.22210342192108457,
      0.2182089609718768,
      0.21438034761071773,
      0.21061640605766724,
      0.2069159947986999,
      0.2032780974997102,
      0.19970206183503303,
      0.1961871842774354,
      0.1927326292333911,
      0.18933740015793282,
      0.18600042947587989,
      0.18272068006605516,
      0.1794971406627954,
      0.1763288227203234,
      0.1732147585885013,
      0.1701540000399355,
      0.1671456172903803,
      0.16418869822416232,
      0.16128234779129347,
      0.15842568744128843,
      0.15561785472639728,
      0.152858002921216,
      0.15014530065837764,
      0.14747893148443916,
      0.14485809384385984,
      0.14228200061482482,
      0.1397498786272894,
      0.13726096856457318,
      0.13481452467488533,
      0.13240981450947223,
      0.1300461187124264,
      0.1277227306838715,
      0.12543895645956712,
      0.12319411408736221,
      0.12098753384224509,
      0.1188185578233096,
      0.11668653981052242,
      0.11459084482678696,
      0.11253084919393037,
      0.11050594009642924,
      0.10851551538980624,
      0.10655898364716372,
      0.10463576377589383,
      0.10274528491065031,
      0.10088698604010102,
      0.09906031592795045,
      0.09726473300237891,
      0.09549970531657323,
      0.093764709898927,
      0.09205923301156216,
      0.09038276995709102,
      0.08873482453451857,
      0.08711490922744523,
      0.08552254498315963,
      0.08395726111669692,
      0.08241859509469851,
      0.08090609240174321,
      0.07941930645107752,
      0.07795779828791036,
      0.0765211364022328,
      0.07510889681654719,
      0.07372066298073417,
      0.07235602548371792,
      0.07101458186425702,
      0.06969593671017799,
      0.06839970126218076,
      0.06712549359467916,
      0.06587293829362809,
      0.06464166647000623,
      0.06343131545982186,
      0.06224152901460803,
      0.06107195677123073,
      0.05992225449704472,
      0.05879208384251575,
      0.05768111222998406,
      0.0565890128692203,
      0.05551546440903073,
      0.05446015114716828,
      0.053422762758209265,
      0.052402994309273636,
      0.05140054591070483,
      0.05041512293915363,
      0.049446435631801094,
      0.04849419931555469,
      0.047558134235684606,
      0.04663796539044416,
      0.045733422501307595,
      0.04484423978458718,
      0.043970156010726395,
      0.04311091446591966,
      0.042266262826403285,
      0.04143595318285728,
      0.04061974164241583,
      0.03981738861434183,
      0.039028658494743976,
      0.0382533196910622,
      0.037491144560293864,
      0.03674190945083481,
      0.03600539448654015,
      0.03528138353066981,
      0.034569664176716565,
      0.03387002746718055,
      0.03318226811579598,
      0.03250618440633014,
      0.03184157792079272,
      0.031188253744998385,
      0.030546020203644986,
      0.02991468891989232,
      0.029294074671465192,
      0.028683995392267115,
      0.028084272256392335,
      0.027494729233697234,
      0.026915193483531455,
      0.026345495162413562,
      0.025785467103690365,
      0.025234945073645692,
      0.024693767593344903,
      0.02416177602001196,
      0.02363881432044276,
      0.023124729160688057,
      0.022619369801928847,
      0.022122588107158635,
      0.021634238425760236,
      0.021154177613603196,
      0.020682264965488188,
      0.020218362096839467,
      0.019762333069882107,
      0.019314044102986518,
      0.018873363823084712,
      0.01844016310059396,
      0.01801431491932785,
      0.01759569438107984,
      0.017184178890973723,
      0.016779647880565518,
      0.016381982653367277,
      0.015991066727879272,
      0.015606785533450417,
      0.015229026375073276,
      0.014857678570380943,
      0.014492633282917068,
      0.014133783483641955,
      0.013781023995787973,
      0.013434251502310427,
      0.01309336436334819,
      0.012758262656843425,
      0.012428848225530986,
      0.012105024622935308,
      0.011786696855900308,
      0.011473771654629457,
      0.011166157227752296,
      0.010863763506682951,
      0.010566501862279169,
      0.010274285113265126,
      0.009987027712574462,
      0.009704645481646214,
      0.00942705560454684,
      0.009154176818490251,
      0.008885929107665294,
      0.008622233898122524,
      0.008363014017029824,
      0.00810819349761858,
      0.007857697529443855,
      0.007611452718360144,
      0.007369386970128673,
      0.007131429391997034,
      0.0068975102119443275,
      0.006667560911821125,
      0.006441514079264803,
      0.006219303505998242,
      0.006000864118649279,
      0.005786131921557495,
      0.005575044043348611,
      0.005367538559993537,
      0.005163554564049107,
      0.004963032320068997,
      0.004765913176317348,
      0.004572139347416626,
      0.004381654037331319,
      0.00419440145185191,
      0.004010326713231975,
      0.0038293759246985815,
      0.003651496098662701,
      0.003476635101659853,
      0.0033047416277469065,
      0.0031357653405202834,
      0.0029696567265599778,
      0.0028063671045603093,
      0.00264584873321848,
      0.0024880545983865933,
      0.0023329384449850437,
      0.002180454690584956,
      0.002030558640973144,
      0.001883206480163747,
      0.0017383550156380178,
      0.001595961775912076,
      0.0014559851048208511,
      0.001318383972278854,
      0.0011831180868828663,
      0.001050147852265281,
      0.0009194342880109914,
      0.0007909391055245685,
      0.0006646245769201928,
      0.0005404536666285718,
      0.0004183899943668388,
      0.00029839782578042966,
      0.00018044204027557812,
      6.448812046278285e-05,
      -4.9498034289084504e-05,
      -0.00016154979017862978,
      -0.00027169992889288777,
      -0.0003799807000291808,
      -0.00048642380771130657,
      -0.0005910604206232388,
      -0.000693921281747935,
      -0.0007950364725179945,
      -0.0008944356012285055,
      -0.0009921479445035946,
      -0.0010882020470710915,
      -0.0011826259737623237,
      -0.0012754474706061201,
      -0.0013666937111010474,
      -0.0014563914410707776,
      -0.0015445669438050218,
      -0.0016312459523894027,
      -0.0017164539542317005,
      -0.0018002158459237056,
      -0.001882556107186397,
      -0.0019634990307049564,
      -0.002043068244862025,
      -0.002121287092887976,
      -0.0021981784572074692,
      -0.0022737650403588023,
      -0.002348068906881607,
      -0.002421111722413235,
      -0.0024929149981489543,
      -0.0025634997105909605,
      -0.0026328864670223397,
      -0.0027010956241969373,
      -0.002768147241175016,
      -0.002834060909987862,
      -0.002898855934362004,
      -0.0029625514372111656,
      -0.00302516593326543,
      -0.003086717808975446,
      -0.003147225063747546,
      -0.0032067054824436885,
      -0.00326517647621984,
      -0.003322655214517676,
      -0.003379158527011359,
      -0.003434702937980668,
      -0.003489304731026869,
      -0.0035429798731942135,
      -0.0035957439948758304,
      -0.003647612635811778,
      -0.0036986010132970953,
      -0.0037487240946952093,
      -0.0037979965926533544,
      -0.0038464328256915476,
      -0.003894047028752117,
      -0.003940853135538305,
      -0.003986864948009774,
      -0.004032095852921245,
      -0.004076559129294964,
      -0.004120267860446424,
      -0.0041632348834971826,
      -0.004205472706179886,
      -0.0042469937088583,
      -0.004287810122847192,
      -0.004327933868743048,
      -0.004367376603010701,
      -0.004406149961239254,
      -0.004444265279065201,
      -0.00448173373868106,
      -0.004518566298221785,
      -0.004554773740991422,
      -0.004590366717970117,
      -0.0046253556688095054,
      -0.004659750818094867,
      -0.004693562190156949,
      -0.004726799756622493,
      -0.004759473144528933,
      -0.004791592094277499,
      -0.00482316607154134,
      -0.00485420421526431,
      -0.004884715647259915,
      -0.004914709355211121,
      -0.00494419408818591,
      -0.004973178428894238,
      -0.0050016708475584945,
      -0.005029679701938736,
      -0.005057213143001941,
      -0.005084279268148727,
      -0.005110886070367201,
      -0.005137041386931245,
      -0.005162752802828873,
      -0.00518802781435178,
      -0.005212873832785492,
      -0.005237298194664668,
      -0.005261308018645818,
      -0.0052849103671850604,
      -0.00530811208978354,
      -0.0053309200469519825,
      -0.0053533410417416554,
      -0.0053753816621109245,
      -0.0053970482113385706,
      -0.005418347019003494,
      -0.005439284357624324
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334188247071692,
      10.0916581626449,
      9.842013673847067,
      9.588144957087678,
      9.332711922448409,
      9.078028738316739,
      8.826022460918384,
      8.578213864354161,
      8.335718521431279,
      8.099273261948781,
      7.869275849234923,
      7.64583582995893,
      7.428831243936603,
      7.217966149110177,
      7.012825207758458,
      6.812922770417853,
      6.617745051967044,
      6.426784939179148,
      6.239569621231442,
      6.055681612824004,
      5.874772351138525,
      5.696557691118866,
      5.520815342478,
      5.347406984147932,
      5.176260138284845,
      5.007386440799886,
      4.840918252002856,
      4.677082626340628,
      4.516161414585341,
      4.358465599395293,
      4.204342407551025,
      4.054170708906218,
      3.9083263519432196,
      3.767166752738241,
      3.6310201948490985,
      3.500175143272839,
      3.374870404564299,
      3.255289801633341,
      3.141557693067214,
      3.0337241567094324,
      2.9317622635908345,
      2.8355768498188585,
      2.744980950149441,
      2.6597198686733696,
      2.579525713947787,
      2.5041266260296386,
      2.4332516847998518,
      2.366634320332139,
      2.3040008205207054,
      2.245049267483806,
      2.189400553439874,
      2.1366951899063054,
      2.0866006162520927,
      2.038809120890092,
      1.9930539037183002,
      1.9491122868658033,
      1.9068049761451695,
      1.8659777597979808,
      1.8265018897662888,
      1.788262832101517,
      1.7511642091151922,
      1.7151287141916962,
      1.6800958104018096,
      1.6460182701709178,
      1.6128540963889706,
      1.5805647935288172,
      1.5491148282571852,
      1.518471735060215,
      1.4886051811486705,
      1.4594863218967271,
      1.431087727788706,
      1.4033833827436795,
      1.3763494912708982,
      1.349962338712089,
      1.3241971997169915,
      1.299031139668942,
      1.2744429819229985,
      1.2504129690934616,
      1.2269225288334324,
      1.20395410819048,
      1.1814910541420158,
      1.1595175236157549,
      1.138018806509376,
      1.116981921123679,
      1.0963946381301637,
      1.076245190248174,
      1.056521781248352,
      1.037212736131922,
      1.0183066226604642,
      0.999792320838253,
      0.9816590588136119,
      0.9638964290811316,
      0.9464943917515809,
      0.9294432692837353,
      0.9127337378003137,
      0.8963568144927819,
      0.8803038449714625,
      0.8645664891582494,
      0.8491367081186871,
      0.8340067503493989,
      0.8191691384635036,
      0.8046166570513802,
      0.7903423407044793,
      0.7763394621938506,
      0.7626015224416409,
      0.7491222393843361,
      0.7358955387969801,
      0.7229155452060796,
      0.7101765724854112,
      0.697673116164639,
      0.685399845557264,
      0.6733515964290366,
      0.6615233632945948,
      0.6499102933729002,
      0.6385076800345173,
      0.6273109565424984,
      0.6163156907066444,
      0.6055175795941029,
      0.5949124437387534,
      0.584496504064087,
      0.5742668569537122,
      0.5642204624025677,
      0.5543540495469931,
      0.5446642386175045,
      0.5351476155432736,
      0.5258007786170542,
      0.516620365978737,
      0.507603072314495,
      0.49874565794190806,
      0.490044953501139,
      0.481497862186096,
      0.4731013601147187,
      0.46485249528006717,
      0.45674838630275993,
      0.44878622108666477,
      0.44096334949519583,
      0.43327749396911575,
      0.4257263509164321,
      0.4183075446559828,
      0.411018675841883,
      0.4038573507255611,
      0.3968211990834185,
      0.38990788531659903,
      0.38311511425414246,
      0.3764406345202652,
      0.3698822400522735,
      0.3634378595053962,
      0.3571055684301303,
      0.35088342583894755,
      0.34476947863673374,
      0.3387617818763342,
      0.3328584109444665,
      0.3270574688479661,
      0.32135709029070514,
      0.31575544391419225,
      0.31025076137523655,
      0.3048413252197934,
      0.299525435723652,
      0.2943014162366844,
      0.2891676165807896,
      0.28412241569623464,
      0.27916422215237946,
      0.2742914746688628,
      0.2695026420954421,
      0.2647962228805378,
      0.2601707449877466,
      0.255624765041483,
      0.2511568679018453,
      0.24676566594435598,
      0.2424497982637306,
      0.23820793043889563,
      0.23403870469783664,
      0.22994060951411224,
      0.2259121937027108,
      0.22195211012561167,
      0.21805908541554772,
      0.21423190086768307,
      0.21046938022948125,
      0.2067703816112669,
      0.20313388421361864,
      0.19955923013509283,
      0.1960457192719605,
      0.1925925163773338,
      0.1891986237785049,
      0.18586297625648945,
      0.18258453826268456,
      0.17936229949129154,
      0.1761952719949657,
      0.17308248846992538,
      0.17002300094285938,
      0.16701587967698278,
      0.16406021272797447,
      0.16115510500370672,
      0.15829967805370723,
      0.1554930693794056,
      0.15273443233317685,
      0.15002293549259954,
      0.14735776245135332,
      0.14473811160556516,
      0.1421631956506087,
      0.1396322415309998,
      0.13714448997260537,
      0.13469919521310528,
      0.13229562482898838,
      0.12993305934048469,
      0.12761079218555954,
      0.12532812944030938,
      0.12308438926519039,
      0.12087890181476775,
      0.11871100919037182,
      0.11658006525171388,
      0.1144854350267922,
      0.11242649477367095,
      0.1104026318300057,
      0.10841324407833303,
      0.10645773999228635,
      0.10453553867286182,
      0.10264606921353159,
      0.10078877050509964,
      0.09896309139141131,
      0.09716849035533544,
      0.0954044354347443,
      0.09367040387153266,
      0.0919658817411303,
      0.09029036422256363,
      0.08864335534013797,
      0.08702436762093528,
      0.08543292217953538,
      0.08386854836805109,
      0.0823307836491927,
      0.08081917356414269,
      0.07933327139847259,
      0.07787263815510173,
      0.07643684254833627,
      0.07502546077415467,
      0.07363807622118078,
      0.07227427945896311,
      0.07093366814676502,
      0.06961584681241016,
      0.06832042691348399,
      0.06704702656095644,
      0.06579527034037483,
      0.0645647892932841,
      0.06335522098601155,
      0.06216620901067006,
      0.06099740321119831,
      0.05984845937914642,
      0.05871903920668562,
      0.057608810191639714,
      0.05651744559235566,
      0.05544462415610762,
      0.05439003019558684,
      0.05335335341896618,
      0.0523342888433756,
      0.051332536760769355,
      0.05034780250318807,
      0.049379796580761914,
      0.04842823427907566,
      0.04749283592038131,
      0.046573326523324486,
      0.04566943582414523,
      0.04478089806100391,
      0.043907452011081705,
      0.04304884117825997,
      0.0422048132575511,
      0.04137512027418753,
      0.040559518570436895,
      0.03975776847174923,
      0.038969634454560226,
      0.038194885056710766,
      0.037433292644093806,
      0.03668463367557338,
      0.035948688290076546,
      0.03522524039116099,
      0.03451407768303397,
      0.03381499124953815,
      0.033127775929108934,
      0.03245222998515588,
      0.0317881550569476,
      0.031135356275937276,
      0.030493642033243503,
      0.029862823975606002,
      0.029242716944377405,
      0.028633138996459268,
      0.028033911278651402,
      0.02744485792064491,
      0.026865806021862636,
      0.026296585764500936,
      0.025737030061387747,
      0.025186974704135074,
      0.024646258357181306,
      0.02411472241019248,
      0.0235922110319682,
      0.023078570878798062,
      0.022573651264327553,
      0.022077304065952583,
      0.021589383723999753,
      0.021109747104621247,
      0.02063825345455604,
      0.020174764480055684,
      0.01971914435891373,
      0.019271259367178935,
      0.018830978106638592,
      0.01839817145409667,
      0.01797271255843319,
      0.0175544765789589,
      0.017143340883362335,
      0.01673918506971399,
      0.016341890462980513,
      0.015951340521460404,
      0.015567420698028763,
      0.015190018462133865,
      0.014819023157596626,
      0.01445432610327356,
      0.014095820275055251,
      0.013743400446241382,
      0.013396963366591817,
      0.013056407427363578,
      0.012721632784608741,
      0.01239254135578682,
      0.012069036460586036,
      0.011751023338760547,
      0.011438408752893096,
      0.011131101136602551,
      0.010829010364901399,
      0.010532047858787813,
      0.01024012651694541,
      0.009953160742997609,
      0.009671066427809462,
      0.009393760848623662,
      0.009121162726018891,
      0.008853192127776605,
      0.008589770569047802,
      0.008330820665910052,
      0.008076266608037884,
      0.007826033803855145,
      0.007580048886935356,
      0.00733823971442831,
      0.007100535414856941,
      0.006866866217905187,
      0.006637163727845871,
      0.006411360566135839,
      0.006189390424996824,
      0.005971188233370333,
      0.005756690035253413,
      0.005545833056829415,
      0.005338555434383869,
      0.005134796436211003,
      0.004934496363953663,
      0.004737596553860707,
      0.004544039222674251,
      0.004353767648236938,
      0.004166726016564654,
      0.003982859451052446,
      0.003802114045183259,
      0.00362443686071489,
      0.00344977569452439,
      0.00327807942079302,
      0.0031092977779779876,
      0.0029433812981208476,
      0.002780281329050945,
      0.0026199500280024673,
      0.002462340421908371,
      0.0023074062803211336,
      0.002155102175588006,
      0.002005383488965219,
      0.001858206216596628,
      0.001713527330974793,
      0.0015713043574522698,
      0.0014314956404075196,
      0.0012940602938526368,
      0.001158957939281758,
      0.0010261489735925,
      0.000895594540561996,
      0.0007672562893060141,
      0.0006410966246436163,
      0.0005170785274207035,
      0.0003951656828770692,
      0.000275322338116135,
      0.00015751342263765997,
      4.170428312368237e-05,
      -7.213898164566878e-05,
      -0.00018404964749791202,
      -0.00029406059109023976,
      -0.0004022039989572404,
      -0.0005085117230142534,
      -0.0006130148329313264,
      -0.0007157440562695452,
      -0.0008167294730613076,
      -0.0009160006718961163,
      -0.001013586757889128,
      -0.0011095162634639259,
      -0.0012038173050343054,
      -0.0012965176615159259,
      -0.0013876443806225078,
      -0.001477224209695967,
      -0.001565283427060122,
      -0.001651847875373224,
      -0.001736942808618967,
      -0.0018205931310534527,
      -0.0019028234250855402,
      -0.0019836578061036437,
      -0.0020631199852613595,
      -0.0021412333689854826,
      -0.0022180207500750527,
      -0.0022935045822151095,
      -0.0023677070354500783,
      -0.002440649892650197,
      -0.0025123545205764423,
      -0.0025828419538871613,
      -0.0026521328630902587,
      -0.0027202475530279185,
      -0.0027872060617863603,
      -0.002853027914836463,
      -0.0029177324816158047,
      -0.002981338618876332,
      -0.0030438649931892625,
      -0.0031053299375584935,
      -0.0031657515299165634,
      -0.003225147504958018,
      -0.0032835352095483424,
      -0.0033409316514537994,
      -0.003397353801731421,
      -0.003452818126650165,
      -0.003507340926216848,
      -0.0035609382199050027,
      -0.0036136257014498,
      -0.003665418832290484,
      -0.0037163327367878032,
      -0.0037663824080471837,
      -0.0038155825122674117,
      -0.0038639474335200883,
      -0.003911491260375927,
      -0.003958227949255059,
      -0.004004171226570875,
      -0.004049334630063934,
      -0.004093731459844706,
      -0.004137374729167147,
      -0.00418027709453679,
      -0.0042224512106571205,
      -0.004263909417607575,
      -0.004304663833773034,
      -0.004344726428914583,
      -0.004384108867552645,
      -0.0044228228472975185,
      -0.004460879712527772,
      -0.004498290543221823,
      -0.004535066331992056,
      -0.004571217849229944,
      -0.004606755660024935,
      -0.004641690209905813,
      -0.00467603171344852,
      -0.004709790226098471,
      -0.00474297553096421,
      -0.0047755975335115886,
      -0.004807665854983979,
      -0.004839189838571229,
      -0.004870178643186663,
      -0.0049006414323935,
      -0.004930587181070714,
      -0.004960024596182849,
      -0.004988962208303033,
      -0.005017408583331513,
      -0.005045371967757507,
      -0.005072860709324952,
      -0.005099882850762379,
      -0.005126446218850475,
      -0.005152558626579233,
      -0.005178227751307508,
      -0.0052034611076974355,
      -0.005228266140669475,
      -0.005252650159358358,
      -0.005276620334041709,
      -0.005300183590690074,
      -0.005323346822413996,
      -0.005346116846706128,
      -0.005368500317775701,
      -0.005390503809878308,
      -0.005412133862147437,
      -0.005433396762604783,
      -0.005454298572753219
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334185935873776,
      10.09164783066138,
      9.841990063637756,
      9.588103385383324,
      9.332648323486918,
      9.077940291993352,
      8.825907387480408,
      8.578071116605626,
      8.335547617617777,
      8.09907413446761,
      7.869048642955161,
      7.645580805051922,
      7.42854870448097,
      7.217656402842239,
      7.012488552215385,
      6.812559499651901,
      6.617355475961851,
      6.426369414607607,
      6.239128589040646,
      6.055215637116606,
      5.874282182300825,
      5.696044361291317,
      5.520280107279751,
      5.3468512594704745,
      5.175685474556065,
      5.006795044410986,
      4.840313087818352,
      4.676466905189961,
      4.515538446100285,
      4.357838761550534,
      4.2037153763356585,
      4.053547204329773,
      3.907709926111988,
      3.7665607300952364,
      3.630427614836323,
      3.499598718569299,
      3.374312485644581,
      3.254752353185413,
      3.141042199289357,
      3.0332314964838307,
      2.931292765559189,
      2.835130282874985,
      2.7445564237618028,
      2.6593162751097856,
      2.5791417139550106,
      2.5037607111568443,
      2.4329023912558156,
      2.3663002364162242,
      2.3036803889238513,
      2.2447405064424673,
      2.1891014011435117,
      2.1364036305254843,
      2.0863146041633738,
      2.038526979367934,
      1.9927743227748065,
      1.9488342972551085,
      1.90652785909689,
      1.86570097964146,
      1.8262250043953934,
      1.7879854277772425,
      1.7508860103695856,
      1.7148495981159277,
      1.6798160825239938,
      1.6457382542893135,
      1.6125740038775067,
      1.5802847625804206,
      1.5488349583358516,
      1.518192106552156,
      1.4883258475767454,
      1.459207319238677,
      1.4308090817621617,
      1.4031051190350874,
      1.376071641283964,
      1.34968494083493,
      1.323920287972111,
      1.2987547393180923,
      1.2741671130359113,
      1.2501376483156699,
      1.2266477707261498,
      1.2036799266008211,
      1.18121746268925,
      1.1592445359545316,
      1.137746451886725,
      1.116710229368199,
      1.0961236440128581,
      1.0759749253714845,
      1.0562522711073485,
      1.0369440019301652,
      1.0180386827442578,
      0.9995251921597074,
      0.9813927573555195,
      0.9636309705158999,
      0.9462297913196762,
      0.9291795423146283,
      0.9124708991480872,
      0.8960948789721838,
      0.8800428272170221,
      0.8643064038742929,
      0.8488775698563497,
      0.8337485735221837,
      0.8189119374490768,
      0.8043604462286271,
      0.7900871340432861,
      0.7760852736960235,
      0.7623483659314684,
      0.748870128540807,
      0.7356444872746998,
      0.7226655663619633,
      0.7099276792967101,
      0.6974253215409717,
      0.6851531620816583,
      0.6731060361124461,
      0.6612789381067606,
      0.6496670150505968,
      0.6382655599041438,
      0.6270700059172503,
      0.6160759204853401,
      0.6052790001807854,
      0.5946750654346386,
      0.5842604130360909,
      0.5740321407207543,
      0.5639871770709194,
      0.5541222315471808,
      0.5444339115366121,
      0.5349187949499951,
      0.5255734747666077,
      0.5163945859336863,
      0.5073788208771305,
      0.4985229384955613,
      0.48982376833136415,
      0.4812782130703549,
      0.47288324814115895,
      0.4646359210642999,
      0.45653335045175786,
      0.4485727237914495,
      0.4407514109780951,
      0.4330671357637542,
      0.4255175854221317,
      0.4181003785939465,
      0.4108131120578656,
      0.40365338964344705,
      0.3966188396623461,
      0.3897071252350866,
      0.38291595041584425,
      0.3762430634001204,
      0.36968625770626007,
      0.36324347032696375,
      0.35691277686064277,
      0.3506922321100657,
      0.3445798807258028,
      0.3385737762291154,
      0.33267199301029526,
      0.32687263332887173,
      0.3211738314353204,
      0.315573755743679,
      0.3100706392662721,
      0.3046627643351552,
      0.2993484304069584,
      0.29412596006232117,
      0.28899370290772325,
      0.2839500374168984,
      0.278993371844942,
      0.2741221447843254,
      0.2693348250019355,
      0.2646299108804282,
      0.2600059302046666,
      0.2554614395218213,
      0.25099502347172603,
      0.24660529430657355,
      0.24229089107944923,
      0.2380504793183191,
      0.23388270482619183,
      0.22978606113209749,
      0.22575909377831507,
      0.22180045351842886,
      0.21790886555995126,
      0.21408311038575883,
      0.21032201114541466,
      0.20662442557462624,
      0.20298932861357952,
      0.19941605686313674,
      0.19590391344214073,
      0.1924520631984459,
      0.18905950744745822,
      0.18572518335288793,
      0.18244805704126563,
      0.17922711912934305,
      0.176061382370383,
      0.1729498797633251,
      0.16989166351345114,
      0.1668858041357623,
      0.16393138959137105,
      0.16102752489326755,
      0.1581733316601066,
      0.1553679473435591,
      0.15261052528558822,
      0.14990023404142716,
      0.14723625727136727,
      0.14461779329163882,
      0.14204405492032082,
      0.13951426899480265,
      0.13702767620181092,
      0.13458353078224253,
      0.13218110033845606,
      0.12981966543257897,
      0.1274985195414024,
      0.1252169685662183,
      0.12297433072387323,
      0.12076993630985018,
      0.11860312743491395,
      0.11647325779827127,
      0.11437969255451695,
      0.11232180795587093,
      0.11029899117604884,
      0.10831064033438066,
      0.10635616402752829,
      0.10443498106051029,
      0.10254652070747099,
      0.10069022202728557,
      0.09886553391144885,
      0.09707191474482595,
      0.09530883249257271,
      0.09357576439970684,
      0.09187219671590853,
      0.09019762469242773,
      0.0885515523876303,
      0.08693349241365793,
      0.08534296578259902,
      0.08377950187739404,
      0.08224263838194446,
      0.08073192064232923,
      0.07924690201569093,
      0.07778714375756102,
      0.07635221451085525,
      0.07494169052763683,
      0.07355515520516043,
      0.07219219906770298,
      0.07085241992022454,
      0.06953542243665128,
      0.06824081797014077,
      0.06696822466780185,
      0.0657172672408207,
      0.06448757677145008,
      0.06327879092509067,
      0.06209055330830446,
      0.06092251377136818,
      0.059774328205735756,
      0.05864565840183093,
      0.057536171840060726,
      0.05644554168686023,
      0.05537344690131988,
      0.05431957182235646,
      0.05328360636158412,
      0.05226524561229942,
      0.051264189834383966,
      0.050280144420241674,
      0.04931281977819505,
      0.04836193133035686,
      0.0474271994721569,
      0.04650834920030368,
      0.04560511039483749,
      0.04471721740043116,
      0.043844409098944895,
      0.04298642882388112,
      0.04214302451751615,
      0.041313948241133845,
      0.040498956171532915,
      0.03969780879110163,
      0.038910270770334605,
      0.03813611068141343,
      0.03737510098150428,
      0.03662701820809813,
      0.03589164249613254,
      0.03516875776467542,
      0.03445815175265322,
      0.03375961562357546,
      0.03307294421343724,
      0.032397935809390356,
      0.03173439224689779,
      0.031082118651525097,
      0.030440923543460542,
      0.02981061854150274,
      0.029191018575371964,
      0.028581941728839943,
      0.027983209292482217,
      0.027394645313351486,
      0.02681607705897842,
      0.02624733485092834,
      0.025688251566855166,
      0.02513866308767266,
      0.02459840818362729,
      0.02406732816999371,
      0.023545267119783123,
      0.023032071915128922,
      0.022527591832775074,
      0.02203167885108737,
      0.021544187497004645,
      0.021064974709153615,
      0.020593899805789673,
      0.020130824551261542,
      0.019675613053375684,
      0.01922813176585912,
      0.01878824932142667,
      0.018355836615193907,
      0.017930766884428878,
      0.017512915370833035,
      0.01710215937247388,
      0.016698378335558792,
      0.016301453948341017,
      0.015911269740963706,
      0.015527711080677095,
      0.01515066552431307,
      0.014780022529990729,
      0.014415673291032287,
      0.014057510863025887,
      0.013705430291466474,
      0.01335932828320096,
      0.013019103329191394,
      0.012684655643739648,
      0.01235588697057907,
      0.012032700820807943,
      0.011715002482602311,
      0.011402698707024766,
      0.011095697914922695,
      0.01079390999018854,
      0.01049724644821757,
      0.010205620323983896,
      0.009918946079152353,
      0.009637139559173476,
      0.009360118082918631,
      0.009087800519161107,
      0.008820106885437938,
      0.008556958638898748,
      0.008298278685888746,
      0.008043991079671896,
      0.0077940212821682705,
      0.00754829597329995,
      0.007306742992299326,
      0.007069291550831969,
      0.0068358720568874425,
      0.006606415981693302,
      0.006380856067867028,
      0.006159126097252854,
      0.0059411610064859805,
      0.005726896835167134,
      0.005516270812042801,
      0.0053092212294704455,
      0.0051056872456715745,
      0.004905609174101087,
      0.00470892847186008,
      0.0045155874397708245,
      0.004325529212395773,
      0.004138698056279816,
      0.003955039253198101,
      0.0037744989871021854,
      0.003597024234458007,
      0.0034225628297729098,
      0.0032510636999217007,
      0.0030824765681653813,
      0.0029167519602670625,
      0.0027538413283664884,
      0.002593696917761258,
      0.0024362716875721193,
      0.0022815194695577413,
      0.002129394914159496,
      0.001979853426956848,
      0.0018328509936275566,
      0.0016883446305330683,
      0.001546291936107814,
      0.0014066512360866408,
      0.0012693815472062777,
      0.0011344426134833048,
      0.0010017948944226595,
      0.0008713995179967185,
      0.0007432182616223044,
      0.0006172135293363565,
      0.0004933483568636209,
      0.00037158628560924554,
      0.0002518916458191407,
      0.00013422940355300257,
      1.85650551710395e-05,
      -9.513541264912284e-05,
      -0.00020690528767869595,
      -0.0003167773071697569,
      -0.0004247837675104522,
      -0.0005309563773920134,
      -0.0006353261976936504,
      -0.0007379237634349593,
      -0.0008387792547559952,
      -0.0009379223989933542,
      -0.0010353821356482286,
      -0.00113118708005164,
      -0.0012253652857265606,
      -0.0013179443481009122,
      -0.001408951455799103,
      -0.0014984134018219421,
      -0.0015863563388939805,
      -0.001672806066609218,
      -0.0017577878910019866,
      -0.001841326781100528,
      -0.001923447206289341,
      -0.0020041731685869002,
      -0.002083528462471917,
      -0.002161536354602561,
      -0.002238219688002405,
      -0.002313600939935027,
      -0.002387702170201688,
      -0.002460545171398635,
      -0.002532151382573998,
      -0.0026025417381288028,
      -0.0026717369218835344,
      -0.00273975717455566,
      -0.0028066225260008505,
      -0.0028723525240252267,
      -0.002936966380990836,
      -0.003000483100116145,
      -0.0030629213593123795,
      -0.0031242994446679857,
      -0.003184635347567667,
      -0.0032439468034382224,
      -0.003302251304360017,
      -0.0033595658113000177,
      -0.003415907119913107,
      -0.0034712917926090618,
      -0.0035257360011500495,
      -0.0035792556663827046,
      -0.0036318666480705474,
      -0.00368358433614986,
      -0.003734423934149331,
      -0.0037844002769492372,
      -0.0038335279909281726,
      -0.0038818216085367984,
      -0.0039292951482581846,
      -0.003975962576854633,
      -0.0040218376987012,
      -0.004066933917425293,
      -0.004111264390358326,
      -0.004154842162846941,
      -0.004197679939522699,
      -0.004239790382289737,
      -0.004281185784759246,
      -0.004321878235061551,
      -0.004361879701353605,
      -0.004401201926193693,
      -0.0044398565680877355,
      -0.004477854916558423,
      -0.004515208069850145,
      -0.004551926914987898,
      -0.004588022234215638,
      -0.004623504696293198,
      -0.004658384688537429,
      -0.004692672408518914,
      -0.004726377897714231,
      -0.0047595110681503345,
      -0.004792081646017907,
      -0.004824099158866606,
      -0.004855573055736805,
      -0.004886512642479117,
      -0.004916926857456035,
      -0.004946824688407564,
      -0.004976214972272838,
      -0.00500510616270582,
      -0.005033506732285172,
      -0.005061425085014542,
      -0.0050888693536138155,
      -0.005115847673308522,
      -0.00514236788322267,
      -0.0051684377923727634,
      -0.005194065064009357,
      -0.005219257194772801,
      -0.005244021486755978,
      -0.005268365292786932,
      -0.005292295828812716,
      -0.005315819992259896,
      -0.005338944751834016,
      -0.0053616768757563755,
      -0.005384023047494948,
      -0.005405989777612116,
      -0.005427583435449678,
      -0.005448810452328465,
      -0.005469677073367077
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334183619793047,
      10.091637475400308,
      9.841966401253627,
      9.588061727659504,
      9.332584594530143,
      9.077851665625326,
      8.825792082497987,
      8.577928085227583,
      8.335376386788047,
      8.098874632160243,
      7.868821014135215,
      7.6453253069601095,
      7.428265640863397,
      7.217346082894907,
      7.012151274786485,
      6.812195558564765,
      6.616965181728827,
      6.4259531248165205,
      6.238686744835197,
      6.054748805261969,
      5.873791115864116,
      5.695530095469569,
      5.519743897456866,
      5.346294512893636,
      5.175109743518784,
      5.006202537754082,
      4.839706765678353,
      4.675849988197786,
      4.514914253172436,
      4.357210684281757,
      4.203087103402352,
      4.052922462810712,
      3.907092275841749,
      3.7659535002077296,
      3.629833848839814,
      3.499021133077144,
      3.3737534350341276,
      3.254213804504742,
      3.1405256388111398,
      3.0327378046281273,
      2.930822271937807,
      2.8346827563082813,
      2.74413093011053,
      2.6589117144833248,
      2.5787567511799736,
      2.5033938403125715,
      2.432552151987286,
      2.3659652197053687,
      2.3033590393866903,
      2.2444308420609778,
      2.1888013597700007,
      2.1361112584221633,
      2.086027837288541,
      2.0382441273788117,
      1.9924940644820393,
      1.9485556548642022,
      1.9062501080166172,
      1.8654235807694968,
      1.8259475121019977,
      1.7877074257094085,
      1.7506072225576603,
      1.7145699575624358,
      1.6795359230275007,
      1.645457867333545,
      1.6122935795828044,
      1.58000442525598,
      1.548554798299519,
      1.5179121982629968,
      1.4880462405821226,
      1.4589280475968003,
      1.4305301694470132,
      1.4028265907259139,
      1.3757935281148648,
      1.3494072810020312,
      1.323643114977519,
      1.2984780778809304,
      1.27389098281428,
      1.2498620662343947,
      1.2263727519108434,
      1.2034054852408549,
      1.180943612932279,
      1.158971291764639,
      1.1374738419921513,
      1.1164382835738784,
      1.0958523973583938,
      1.0757044099709838,
      1.0559825122454405,
      1.0366750211497138,
      1.017770498977799,
      0.9992578219730662,
      0.981126217000691,
      0.9633652756758511,
      0.9459649571906268,
      0.9289155836698946,
      0.9122078306892694,
      0.8958327152052599,
      0.8797815829222279,
      0.8640460936957165,
      0.8486182083840034,
      0.8334901753081353,
      0.818654516856259,
      0.8041040174678937,
      0.7898317111704847,
      0.7758308705186415,
      0.7620949958507679,
      0.7486178051170581,
      0.7353932238137048,
      0.7224153757687495,
      0.7096785746025478,
      0.6971773156305763,
      0.6849062677650296,
      0.6728602659313229,
      0.6610343042058333,
      0.649423529037265,
      0.6380232329510822,
      0.6268288489047555,
      0.6158359444641214,
      0.6050402160624595,
      0.5944374837498734,
      0.5840241201334962,
      0.5737972241262062,
      0.5637536930544066,
      0.5538902164271499,
      0.5442033886141517,
      0.5346897794351384,
      0.5253459770165511,
      0.5161686129376414,
      0.5071543773159742,
      0.49830002745556434,
      0.48960239236171677,
      0.4810583737567293,
      0.4726649466871739,
      0.46441915822884927,
      0.45631812645363223,
      0.4483590386127009,
      0.4405392859056786,
      0.4328565920003894,
      0.42530863526919815,
      0.41789302849958426,
      0.41060736480053384,
      0.4034492456582802,
      0.39641629769287867,
      0.38950618305074836,
      0.3827166051402518,
      0.3760453113998565,
      0.3694900951092239,
      0.36304890144843155,
      0.3567198060274632,
      0.3505008602302123,
      0.34439010605006903,
      0.338385595227201,
      0.3324854009958614,
      0.3266876251019988,
      0.32099040136093365,
      0.3153918982188005,
      0.3098903498731431,
      0.3044840379159156,
      0.2991712609910922,
      0.2939503411448724,
      0.28881962753182366,
      0.2837774982269812,
      0.2788223615560655,
      0.2739526559498014,
      0.2691668499311275,
      0.26446344174446007,
      0.2598409590632246,
      0.25529795828400437,
      0.2508330239185034,
      0.2464447680977921,
      0.24213182997542965,
      0.2378928749676801,
      0.23372655250637572,
      0.22963136101394727,
      0.22560584271179746,
      0.22164864613312876,
      0.21775849527821034,
      0.21393416976816396,
      0.21017449215587264,
      0.2064783197274668,
      0.20284462337954448,
      0.1992727340378861,
      0.1957619581585743,
      0.19231146081218115,
      0.1889202421379458,
      0.18558724188713135,
      0.18231142759575072,
      0.17909179097000055,
      0.17592734524289053,
      0.17281712384473352,
      0.16976017923709832,
      0.1667555819847037,
      0.16380242013953267,
      0.16089979877006463,
      0.1580468394953058,
      0.15524267982011228,
      0.15248647292455914,
      0.14977738750769842,
      0.14711460718932462,
      0.14449733022565564,
      0.14192476954552957,
      0.13939615191124977,
      0.13691071795205353,
      0.13446772203313373,
      0.13206643170071747,
      0.12970612754053468,
      0.12738610286517502,
      0.12510566368125942,
      0.12286412817306175,
      0.12066082670069483,
      0.11849510137748635,
      0.11636630593234351,
      0.11427380556348522,
      0.11221697652962365,
      0.11019520611374062,
      0.10820789239920639,
      0.10625444394107499,
      0.10433427971319977,
      0.10244682877759115,
      0.10059153020990572,
      0.09876783290511877,
      0.09697519558181748,
      0.0952130861259742,
      0.09348098162728595,
      0.0917783685928357,
      0.09010474228977296,
      0.08845960661435712,
      0.08684247438492633,
      0.08525286661921141,
      0.08369031268020372,
      0.08215435018696544,
      0.08064452468085984,
      0.07916038968577106,
      0.07770150628703017,
      0.07626744327204726,
      0.07485777691667303,
      0.073472090610334,
      0.07210997500307688,
      0.07077102793699648,
      0.06945485405665588,
      0.06816106488354197,
      0.06688927860041703,
      0.06563911995492347,
      0.06441022016542815,
      0.06320221680273136,
      0.06201475360890536,
      0.06084748040254295,
      0.05970005307974818,
      0.05857213348789351,
      0.05746338920703553,
      0.05637349351789857,
      0.05530212548626949,
      0.05424896947143497,
      0.053213715353953195,
      0.052196058153746325,
      0.05119569825677397,
      0.05021234119681294,
      0.049245697497928544,
      0.0482954827142847,
      0.04736141710991287,
      0.04644322576049194,
      0.04554063857463091,
      0.044653389993020876,
      0.043781219077158186,
      0.04292386922087835,
      0.042081088155185395,
      0.04125262810316794,
      0.04043824544938774,
      0.03963770076253504,
      0.038850758658841224,
      0.03807718775743243,
      0.03731676063814362,
      0.03656925375107524,
      0.03583444737887353,
      0.035112125537250134,
      0.034402075916075504,
      0.03370408989086859,
      0.033017962339004614,
      0.032343491513868325,
      0.03168047927548448,
      0.03102873086426243,
      0.030388054764082198,
      0.029758262781646977,
      0.029139169852188587,
      0.028530594162635117,
      0.027932356912054097,
      0.02734428227459604,
      0.02676619758383847,
      0.02619793314142335,
      0.02563932199224845,
      0.025090200054509414,
      0.024550405980354944,
      0.024019781307346104,
      0.023498170232834056,
      0.02298541964709862,
      0.022481378909496932,
      0.021985899952356662,
      0.0214988373757395,
      0.021020048177247827,
      0.020549391758506865,
      0.020086729979004788,
      0.019631926939474062,
      0.019184849168590548,
      0.018745365342205524,
      0.018313346455696117,
      0.01788866563043688,
      0.017471198259530286,
      0.017060821748303145,
      0.016657415606601795,
      0.016260861409203423,
      0.015871042802557588,
      0.015487845277766223,
      0.015111156389796146,
      0.014740865621874601,
      0.01437686429614641,
      0.014019045522765112,
      0.013667304302389174,
      0.013321537401036641,
      0.012981643250556283,
      0.012647522122809948,
      0.01231907591688129,
      0.01199620828326767,
      0.011678824443224548,
      0.011366831212262988,
      0.011060137079958272,
      0.01075865202052137,
      0.010462287535621532,
      0.01017095660613283,
      0.009884573700801223,
      0.009603054898804649,
      0.009326317496691352,
      0.009054280288671997,
      0.008786863451281464,
      0.008523988433698095,
      0.008265578165146413,
      0.008011556777680538,
      0.007761849747664126,
      0.007516383800396021,
      0.007275086978843838,
      0.00703788843772859,
      0.006804718572620776,
      0.006575508899464306,
      0.006350192154797324,
      0.006128702228965808,
      0.005910974097552948,
      0.005696943960630117,
      0.005486548928727808,
      0.005279727176693248,
      0.00507641810203156,
      0.004876562061469162,
      0.004680100384861298,
      0.004486975399528015,
      0.004297130432994518,
      0.0041105097683890686,
      0.003927058693084071,
      0.0037467233603260515,
      0.003569450895941384,
      0.0033951892161297203,
      0.003223887281204928,
      0.0030554947488134654,
      0.0028899621771159823,
      0.0027272409515775153,
      0.0025672833932589277,
      0.002410042571448624,
      0.0022554722530326175,
      0.002103527128291086,
      0.0019541626074524765,
      0.0018073348111375602,
      0.0016630007543748397,
      0.0015211181394259054,
      0.0013816452854806794,
      0.0012445411558095326,
      0.0011097655845889046,
      0.0009772790683501137,
      0.000847042693647389,
      0.000719018270541047,
      0.0005931682080678158,
      0.0004694555895346472,
      0.00034784411626159474,
      0.00022829813081748617,
      0.00011078250231928045,
      -4.737193399191402e-06,
      -0.00011829492982641635,
      -0.00022992403222212563,
      -0.0003396573404949622,
      -0.00044752689252912836,
      -0.0005535645338710048,
      -0.000657801221600733,
      -0.0007602675343102733,
      -0.0008609936138838108,
      -0.0009600090421028189,
      -0.0010573428233584437,
      -0.001153023453680965,
      -0.0012470790391901335,
      -0.0013395371519885682,
      -0.0014304248620242007,
      -0.0015197689388283112,
      -0.0016075955112910172,
      -0.0016939304755662944,
      -0.0017787991513217591,
      -0.0018622265532548246,
      -0.0019442370819611648,
      -0.0020248547342091956,
      -0.002104103165478373,
      -0.002182005585459189,
      -0.0022585848684356243,
      -0.0023338634583784817,
      -0.002407863546416507,
      -0.002480606922396013,
      -0.0025521148568544557,
      -0.002622408311862114,
      -0.002691507915115756,
      -0.002759433958384278,
      -0.002826206324198377,
      -0.002891844621439007,
      -0.0029563681859503723,
      -0.00301979585728478,
      -0.003082146288262158,
      -0.0031434377635323613,
      -0.0032036882397614075,
      -0.0032629154287978045,
      -0.0033211367081271794,
      -0.0033783690745630085,
      -0.0034346294337531443,
      -0.003489934202040311,
      -0.003544299689136686,
      -0.0035977417993621305,
      -0.003650276234210595,
      -0.0037019184203655148,
      -0.00375268348747228,
      -0.0038025864422803098,
      -0.0038516418901272413,
      -0.0038998641306521426,
      -0.003947267283748251,
      -0.003993865300552378,
      -0.004039671973865482,
      -0.004084700718420848,
      -0.004128964738342384,
      -0.004172476983381324,
      -0.004215250199902418,
      -0.004257296942656472,
      -0.0042986295732057095,
      -0.004339260175009789,
      -0.00437920066423201,
      -0.0044184628176051925,
      -0.004457058140480072,
      -0.004494998007432076,
      -0.004532293509709649,
      -0.004568955676954738,
      -0.0046049952914766195,
      -0.0046404227079378186,
      -0.004675248339426233,
      -0.004709482488068042,
      -0.004743135188534639,
      -0.004776216310948029,
      -0.004808735650763525,
      -0.0048407027124598035,
      -0.004872126836029447,
      -0.004903017163672102,
      -0.004933382834871752,
      -0.004963232831185735,
      -0.004992575846223879,
      -0.005021420523515488,
      -0.0050497752991913334,
      -0.0050776484673491955,
      -0.005105048193250296,
      -0.005131982532783876,
      -0.0051584594768297265,
      -0.005184486677207878,
      -0.005210071750234255,
      -0.00523522230040057,
      -0.005259945740237153,
      -0.005284249249379766,
      -0.005308140120899174,
      -0.0053316253509243725,
      -0.005354711672647632,
      -0.005377405856101367,
      -0.005399714518524791,
      -0.005421644252063915,
      -0.005443201592583161,
      -0.005464392790637308,
      -0.005485223969787444
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334181300457109,
      10.09162710773883,
      9.841942713142057,
      9.588020024390623,
      9.332520796121218,
      9.077762942597083,
      8.825676651383818,
      8.577784897551666,
      8.335204985999342,
      8.098674943206863,
      7.8685931791056,
      7.645069583511745,
      7.427982329763995,
      7.217035490923379,
      7.011813700668412,
      6.811831296231542,
      6.616574541872223,
      6.425536464416695,
      6.238244505387935,
      6.054281552227318,
      5.873299602679802,
      5.695015359058797,
      5.519207197132258,
      5.345737246846944,
      5.174533469520187,
      5.00560946078851,
      4.839099820711275,
      4.675232405223579,
      4.514289359816421,
      4.356581936634248,
      4.202458246987874,
      4.052297216992871,
      3.906474192392193,
      3.765345902683644,
      3.62923977513213,
      3.4984432938832217,
      3.3731941782900035,
      3.253675092428674,
      3.140008952339315,
      3.032244017556681,
      2.9303517071311536,
      2.8342351769337437,
      2.743705396651915,
      2.6585071211240017,
      2.578371758241768,
      2.5030269394275138,
      2.4322018801407927,
      2.3656301662650656,
      2.3030376467421654,
      2.2441211258441465,
      2.1885012569024367,
      2.1358188283574853,
      2.0857410127973774,
      2.037961216245676,
      1.992213744172224,
      1.9482769471724732,
      1.905972288188259,
      1.86514610935234,
      1.825669943488765,
      1.7874293437878608,
      1.7503283507223992,
      1.7142902289815898,
      1.67925567200842,
      1.6451773863134287,
      1.612013060029406,
      1.5797239923045903,
      1.5482745423190671,
      1.5176321939557134,
      1.4877665374735962,
      1.458648679815178,
      1.430251161128534,
      1.402547967059605,
      1.3755153195668177,
      1.3491295262119427,
      1.3233658481388062,
      1.2982013239406403,
      1.273614761552295,
      1.2495863940320342,
      1.226097644007885,
      1.2031309558363015,
      1.1806696755195956,
      1.1586979601082859,
      1.1372011454321187,
      1.1161662521182396,
      1.095581066350482,
      1.0754338114726252,
      1.055712671591376,
      1.036405959221783,
      1.017502234759913,
      0.9989903726424035,
      0.9808595983540497,
      0.963099503044176,
      0.9457000456736576,
      0.9286515480980895,
      0.9119446857715597,
      0.8955704759141472,
      0.8795202637944483,
      0.8637857093885487,
      0.848358773350713,
      0.833231703966321,
      0.8183970235380075,
      0.8038475165075365,
      0.7895762167756298,
      0.775576396906064,
      0.7618415569873652,
      0.7483654147025569,
      0.7351418952491057,
      0.7221651225952083,
      0.7094294098604886,
      0.6969292519943191,
      0.6846593176649698,
      0.6726144414609645,
      0.6607896171700118,
      0.6491799912687142,
      0.6377808562102432,
      0.6265876447695998,
      0.6155959238030164,
      0.6048013890809102,
      0.5941998604075869,
      0.5837877869261869,
      0.5735622687338655,
      0.5635201714248554,
      0.5536581644616703,
      0.5439728298378295,
      0.534460729592781,
      0.5251184464732788,
      0.515942608545627,
      0.506929903982334,
      0.49807708870451833,
      0.4893809903501341,
      0.48083851011869466,
      0.4724466223775474,
      0.4642023740705104,
      0.4561028828892921,
      0.44814533570433784,
      0.44032714482492274,
      0.43264603404695645,
      0.42509967256988596,
      0.41768566759059167,
      0.41040160842940837,
      0.4032450939829463,
      0.3962137495429642,
      0.3893052363147087,
      0.3825172567121772,
      0.37584755785638846,
      0.3692939324652367,
      0.362854334167978,
      0.35652683818706493,
      0.3503094921123569,
      0.34420033569198627,
      0.33819741902891687,
      0.3322988145861576,
      0.32650262319372253,
      0.3208069779685088,
      0.3152100482440853,
      0.3097100691152892,
      0.304305321032475,
      0.2989941018063232,
      0.29377473304131657,
      0.28864556349442866,
      0.2836049712651588,
      0.2786513642710907,
      0.27378318073445346,
      0.26899888906514297,
      0.2642969873086947,
      0.2596760031318433,
      0.2551344927455078,
      0.25067104063771645,
      0.24628425884712113,
      0.2419727863769209,
      0.2377352885220221,
      0.23357041821821495,
      0.22947667898613056,
      0.22545260982944018,
      0.22149685720208528,
      0.21760814372058881,
      0.2137852482481267,
      0.21002699270476105,
      0.206332234005866,
      0.20269993868925287,
      0.19912943207155384,
      0.1956200240500265,
      0.1921708799323456,
      0.1887809987599401,
      0.18544932282270066,
      0.18217482119614267,
      0.1789564863732954,
      0.17579333213325488,
      0.17268439237791303,
      0.16962871983346217,
      0.16662538509107033,
      0.16367347639107088,
      0.16077209873867512,
      0.15792037374272389,
      0.1551174390708399,
      0.15236244783216332,
      0.149654568617376,
      0.14699298509011366,
      0.14437689558838387,
      0.1418055128739283,
      0.1392780638965285,
      0.1367937892229789,
      0.13435194313510698,
      0.13195179323277628,
      0.12959262002495125,
      0.12727371693478604,
      0.12499438991682582,
      0.12275395728349713,
      0.12055174935365416,
      0.11838710814417827,
      0.11625938740962426,
      0.11416795230493065,
      0.11211217925623981,
      0.11009145542865212,
      0.10810517897258398,
      0.10615275852313473,
      0.10423361298832122,
      0.10234717152980079,
      0.10049287331021171,
      0.09867016720372628,
      0.09687851185092612,
      0.09511737518021471,
      0.09338623443767557,
      0.09168457601335574,
      0.09001189522206185,
      0.08836769619789206,
      0.08675149166328021,
      0.08516280272425723,
      0.08360115882244974,
      0.08206609761441025,
      0.08055716470772446,
      0.07907391347944272,
      0.07761590520486207,
      0.07618270862306643,
      0.07477390003137555,
      0.07338906296779085,
      0.07202778816459064,
      0.07068967339705244,
      0.06937432341197787,
      0.06808134972859065,
      0.06681037065510682,
      0.06556101098924223,
      0.06433290185750659,
      0.0631256807709831,
      0.06193899171140806,
      0.06077248459193952,
      0.0596258154015454,
      0.058498645977324536,
      0.057390644068799644,
      0.05630148299491392,
      0.055230841779573374,
      0.05417840482814285,
      0.0531438619390091,
      0.052126908433920684,
      0.05112724473011257,
      0.050144576300337654,
      0.049178613721975725,
      0.04822907254828866,
      0.047295673255426156,
      0.04637814094422073,
      0.045476205501498015,
      0.04458960145805347,
      0.04371806790275051,
      0.04286134842009671,
      0.042019190806275336,
      0.04119134724989886,
      0.040377574179086766,
      0.039577632217699533,
      0.038791286004355774,
      0.03801830415399846,
      0.037258459457752115,
      0.03651152846851785,
      0.035777291406524483,
      0.03505553231436452,
      0.03434603909947307,
      0.033648603018601606,
      0.03296301901537099,
      0.032289085562712205,
      0.031626604538058586,
      0.030975381188025928,
      0.03033522406803276,
      0.02970594498805564,
      0.02908735896469903,
      0.028479284293887467,
      0.02788154209534567,
      0.027293956701604748,
      0.026716355607425104,
      0.026148568941724397,
      0.025590429840660216,
      0.025041774348299788,
      0.024502441322785843,
      0.02397227225755496,
      0.02345111134195334,
      0.022938805417887027,
      0.02243520401027444,
      0.02194015913565347,
      0.021453525402275322,
      0.020975159930686018,
      0.020504922079076875,
      0.020042673776994986,
      0.019588279213331717,
      0.01914160489028333,
      0.01870251952000906,
      0.018270894242077923,
      0.01784660226492603,
      0.017429518922688556,
      0.01701952179117806,
      0.016616490481546765,
      0.016220306518519398,
      0.015830853499734992,
      0.015448017097320306,
      0.015071684787899331,
      0.014701746111498467,
      0.014338092543821245,
      0.013980617223486322,
      0.013629215105670315,
      0.013283783008187071,
      0.012944219601444054,
      0.012610425042898,
      0.01228230132348255,
      0.011959752112297677,
      0.011642682671505035,
      0.01133099982819162,
      0.01102461208611451,
      0.010723429540431465,
      0.010427363696778096,
      0.010136327645594264,
      0.009850236007855697,
      0.009569004790872944,
      0.009292551262178952,
      0.009020794267615897,
      0.00875365414197308,
      0.00849105244093264,
      0.008232912021333362,
      0.007979157069360672,
      0.007729713082994818,
      0.0074845067766373865,
      0.007243466150090372,
      0.0070065204349834985,
      0.006773599988711314,
      0.006544636504798386,
      0.006319562846477683,
      0.006098312783075309,
      0.005880821417496718,
      0.005667024874127881,
      0.005456860474371369,
      0.0052502664968295185,
      0.005047182177069364,
      0.004847547920917303,
      0.0046513051272956294,
      0.004458396143090825,
      0.004268764323030501,
      0.0040823540427534005,
      0.0038991105886803453,
      0.003718980070346677,
      0.003541909666947658,
      0.0033678474709304723,
      0.0031967423541747588,
      0.0030285440154359314,
      0.0028632031646142627,
      0.002700671112807335,
      0.002540900084038594,
      0.0023838432754923165,
      0.0022294545912442945,
      0.0020776887285185127,
      0.001928501139790304,
      0.0017818480295956703,
      0.0016376862462390382,
      0.0014959735388051937,
      0.0013566682700585787,
      0.0012197296094900952,
      0.0010851172775594713,
      0.0009527918328806444,
      0.0008227143454872953,
      0.0006948467022474827,
      0.0005691512534205937,
      0.00044559118670889895,
      0.00032413018539921535,
      0.0002047325339174556,
      8.736322573979625e-05,
      -2.8012097810087058e-05,
      -0.00014142736497158967,
      -0.000252915926932961,
      -0.0003625105043159761,
      -0.00047024323298180775,
      -0.0005761457964498163,
      -0.0006802492385333783,
      -0.0007825842444561492,
      -0.0008831807840667835,
      -0.0009820683377448124,
      -0.0010792759356545536,
      -0.001174832144673415,
      -0.0012687649767981922,
      -0.0013611019865120452,
      -0.0014518704045463657,
      -0.0015410967927487493,
      -0.0016288074286137891,
      -0.0017150280966521272,
      -0.0017997840050375147,
      -0.0018831000120098928,
      -0.001965000666014172,
      -0.0020455099967864963,
      -0.0021246515843071196,
      -0.002202448632337318,
      -0.002278923913056964,
      -0.0023541001110421594,
      -0.0024279992761977037,
      -0.002500642980219208,
      -0.0025720525794107403,
      -0.002642249056886542,
      -0.002711253073143388,
      -0.0027790848372203814,
      -0.002845764249558704,
      -0.0029113107894305334,
      -0.0029757438522536777,
      -0.0030390823738886924,
      -0.0031013449433258196,
      -0.003162549748436193,
      -0.0032227147108896794,
      -0.0032818574421022255,
      -0.0033399954777951443,
      -0.0033971458886887266,
      -0.003453325424087776,
      -0.0035085505201894853,
      -0.0035628374473965435,
      -0.003616202151464683,
      -0.003668660348082219,
      -0.003720227317270782,
      -0.0037709182114823337,
      -0.0038207479496682054,
      -0.0038697311359669763,
      -0.003917882148853344,
      -0.0039652151467825135,
      -0.004011743989978208,
      -0.004057482326671795,
      -0.004102443735970848,
      -0.004146641316589087,
      -0.004190088081910626,
      -0.004232796762885857,
      -0.004274780010757126,
      -0.0043160500586461896,
      -0.00435661894143256,
      -0.004396498581108176,
      -0.0044357007699013995,
      -0.004474237108528203,
      -0.004512118765493582,
      -0.004549356813458528,
      -0.004585962298210073,
      -0.004621945906741556,
      -0.004657318161794772,
      -0.004692089495174872,
      -0.004726270123083131,
      -0.0047598699845936236,
      -0.004792899003316207,
      -0.004825366903474491,
      -0.004857283261139674,
      -0.00488865736997743,
      -0.004919498506691592,
      -0.004949815814702592,
      -0.004979618079296827,
      -0.00500891398488959,
      -0.0050377122698857186,
      -0.005066021258310825,
      -0.005093849293480518,
      -0.005121204694194354,
      -0.0051480953869132585,
      -0.005174529273852857,
      -0.005200514162091708,
      -0.00522605760373562,
      -0.005251167046142335,
      -0.00527584985491542,
      -0.00530011331094215,
      -0.00532396458183387,
      -0.005347410610139029,
      -0.005370458299438542,
      -0.005393114471643562,
      -0.005415385766525525,
      -0.0054372787886049915,
      -0.00545879986594983,
      -0.005479955354929824,
      -0.0055007513851711536
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334178977865964,
      10.091616722693992,
      9.841918987777289,
      9.58797826087937,
      9.332456913770054,
      9.077674109284121,
      8.825561081529044,
      8.57764154156925,
      8.335033386667034,
      8.098475025979994,
      7.868365085827815,
      7.644813571190042,
      7.427698701526515,
      7.216724554121416,
      7.011475752513451,
      6.811466630894618,
      6.616183469999205,
      6.4251193448603185,
      6.237801780671373,
      6.053813789968761,
      5.872807556965434,
      5.6945000663492555,
      5.518669916169347,
      5.345179375625852,
      5.173956566308596,
      5.005015723211834,
      4.838492189091394,
      4.6746141149212015,
      4.513663743308909,
      4.3559524555277385,
      4.201828653529872,
      4.051671234629391,
      3.9058553770930757,
      3.7647375815172532,
      3.6286449893391954,
      3.4978647569694896,
      3.3726342408035515,
      3.2531357176365865,
      3.139491621244731,
      3.031749605566873,
      2.929880538120548,
      2.833787013256399,
      2.7432792969761643,
      2.6581019790667098,
      2.5779862335467025,
      2.5026595225614483,
      2.4318511075433404,
      2.365294626726624,
      2.3027157814421466,
      2.2438109497574454,
      2.188200705372743,
      2.1355259593638056,
      2.085453756939296,
      2.0376778808294964,
      1.9919330063186098,
      1.9479978279206736,
      1.9056940621546183,
      1.8648682365852012,
      1.8253919778110883,
      1.7871508691874416,
      1.7500490908318345,
      1.714010116889584,
      1.6789750431032897,
      1.644896534310481,
      1.611732176247518,
      1.5794432021379305,
      1.5479939364507402,
      1.5173518469522398,
      1.4874864990921435,
      1.4583689833109938,
      1.4299718298838247,
      1.4022690262410211,
      1.3752368007084677,
      1.3488514677750598,
      1.3230882841663039,
      1.297924279564332,
      1.2733382561588544,
      1.2493104440513698,
      1.2258222639507508,
      1.2028561599223115,
      1.18039547775986,
      1.1584243743184286,
      1.1369282009450334,
      1.115893979081891,
      1.0953094995325952,
      1.0751629824072444,
      1.0554426054388295,
      1.0361366774511092,
      1.0172337557214934,
      0.9987227132367359,
      0.9805927746113142,
      0.96283353032818,
      0.945434938865935,
      0.9283873219165986,
      0.9116813550208998,
      0.895308055159394,
      0.8792587678324572,
      0.8635251528888187,
      0.8480991708879491,
      0.8329730696813997,
      0.8181393718511843,
      0.8035908613929761,
      0.7893205725726407,
      0.7753217777694211,
      0.7615879768835621,
      0.7481128874172998,
      0.7348904343317509,
      0.721914740908223,
      0.7091801202848632,
      0.6966810673353151,
      0.6844122503933388,
      0.6723685039513894,
      0.6605448215209483,
      0.648936349315435,
      0.6375383792723796,
      0.6263463436157889,
      0.6153558091393085,
      0.6045624715713209,
      0.5939621504570121,
      0.5835513707776242,
      0.5733272340819998,
      0.5632865742966282,
      0.5534260408257343,
      0.5437422034031351,
      0.5342316158197251,
      0.5248908555080603,
      0.5157165473659713,
      0.5067053773043579,
      0.49785409951849374,
      0.4891595409784498,
      0.4806186022717493,
      0.4722282573791374,
      0.4639855523379677,
      0.455887604523793,
      0.4479316005907948,
      0.4401149739944612,
      0.4324354486689252,
      0.42489068490574977,
      0.4174782838128941,
      0.41019583126249515,
      0.4030409239269795,
      0.3960111852968269,
      0.3891042755446692,
      0.38231789640466574,
      0.37564979441036683,
      0.3690977620069432,
      0.3626597609257431,
      0.3563338664171004,
      0.35011812240087553,
      0.34401056598264235,
      0.3380092458162734,
      0.3321122331077124,
      0.32631762811066445,
      0.32062356365944805,
      0.3150282094377338,
      0.3095298014722101,
      0.30412661906742394,
      0.29881695943806535,
      0.2935991436411437,
      0.28847152004449744,
      0.2834324665005306,
      0.27848039075486075,
      0.273613730688779,
      0.26883095461796336,
      0.2641305606752887,
      0.2595110762597541,
      0.2549710576441775,
      0.25050908923566056,
      0.24612378298704746,
      0.2418137777071949,
      0.23757773855085618,
      0.23341432215558652,
      0.22932203707150212,
      0.22529941883812712,
      0.22134511178692717,
      0.2174578371833983,
      0.21363637296115037,
      0.20987954064226166,
      0.20618619671267854,
      0.20255530368697489,
      0.1989861812782132,
      0.19547814260221846,
      0.19203035322308906,
      0.18864181100169386,
      0.18531146070938995,
      0.18203827287750596,
      0.17882124084219583,
      0.17565937910474197,
      0.1725517219349115,
      0.16949732216256466,
      0.166495250828691,
      0.16354459614952227,
      0.16064446312808917,
      0.15779397332891398,
      0.15499226440205574,
      0.15223848950353666,
      0.1495318171695573,
      0.14687143114918477,
      0.14425652977621056,
      0.14168632574361884,
      0.13916004603252635,
      0.13667693121397367,
      0.13423623544429633,
      0.13183722640469922,
      0.12947918472679798,
      0.12716140371788134,
      0.1248831893460344,
      0.12264385993953572,
      0.12044274580332572,
      0.11827918906905693,
      0.11615254344225648,
      0.1140621740872265,
      0.11200745731350882,
      0.10998778055779654,
      0.10800254177870475,
      0.10605114964247606,
      0.10413302320894616,
      0.10224759164572086,
      0.100394294096079,
      0.09857257958019452,
      0.09678190661794535,
      0.09502174320109409,
      0.09329156677875543,
      0.09159086360066324,
      0.08991912903209244,
      0.08827586720630451,
      0.08666059085709844,
      0.08507282122864136,
      0.08351208785921481,
      0.08197792836209221,
      0.08046988827600057,
      0.07898752113444026,
      0.07753038821959478,
      0.0760980584076841,
      0.0746901078789698,
      0.07330612025139441,
      0.07194568637522324,
      0.070608404013788,
      0.06929387797523466,
      0.06800171996138209,
      0.06673154821580903,
      0.06548298745963897,
      0.06425566911514978,
      0.06304923078389338,
      0.06186331627887077,
      0.060697575704981375,
      0.05955166507597627,
      0.058425246175873774,
      0.057317986724913554,
      0.05622956025875559,
      0.05515964574025023,
      0.05410792765543855,
      0.05307409602854403,
      0.05205784603152363,
      0.0510588782107992,
      0.050076898186920356,
      0.049111616580176175,
      0.048162748964615414,
      0.047230015802652424,
      0.046313142375300646,
      0.04541185874738196,
      0.04452589937791769,
      0.04365500345392114,
      0.04279891440489287,
      0.041957380242170016,
      0.04113015319281409,
      0.04031698981786513,
      0.03951765063120607,
      0.03873190042121809,
      0.0379595079265052,
      0.037200245768853175,
      0.03645389058545495,
      0.03572022278838998,
      0.03499902654227015,
      0.03429008967981634,
      0.03359320359349164,
      0.03290816321698841,
      0.032234767115822474,
      0.03157281721028883,
      0.030922118771981883,
      0.03028248042074642,
      0.029653714045296365,
      0.029035634736581335,
      0.028428060803447577,
      0.02783081357155236,
      0.027243717372363054,
      0.026666599600751358,
      0.026099290625582385,
      0.025541623622786554,
      0.024993434610047136,
      0.024454562460733825,
      0.023924848750758412,
      0.023404137800346225,
      0.022892276535758944,
      0.02238911450758677,
      0.021894503772368804,
      0.021408298975390882,
      0.0209303572204763,
      0.020460537898779798,
      0.019998702939693837,
      0.019544716626324867,
      0.01909844561149104,
      0.018659758719439347,
      0.018228526915874666,
      0.0178046236231428,
      0.017387924236721298,
      0.016978306311608245,
      0.01657564947066653,
      0.016179835416307582,
      0.015790747842130994,
      0.015408272333491605,
      0.015032296529680812,
      0.014662709938105208,
      0.014299403997198775,
      0.013942271911730236,
      0.013591208787642093,
      0.013246111475110714,
      0.012906878584108798,
      0.012573410506640565,
      0.012245609217015086,
      0.011923378250051742,
      0.011606622997122232,
      0.011295250525032873,
      0.010989169319830995,
      0.010688289381946851,
      0.01039252227850267,
      0.01010178115296449,
      0.009815980613221578,
      0.009535036803935549,
      0.009258867064562637,
      0.008987390381579195,
      0.008720526930348485,
      0.008458198251880837,
      0.008200327352318062,
      0.007946838400610593,
      0.007697656889057805,
      0.007452709646395766,
      0.007211924779547607,
      0.006975231633442076,
      0.00674256057094537,
      0.006513843265676286,
      0.006289012573748437,
      0.006068002423230047,
      0.005850747866385634,
      0.005637185053838033,
      0.00542725130846076,
      0.00522088488556006,
      0.005018025087044997,
      0.004818612328417136,
      0.004622588146649821,
      0.004429895078898169,
      0.004240476449631945,
      0.004054276510853252,
      0.0038712406049494523,
      0.0036913150200910414,
      0.003514446843007569,
      0.00334058404397618,
      0.003169675622534873,
      0.0030016713562383995,
      0.0028365219599009134,
      0.0026741789110110814,
      0.00251459449488071,
      0.0023577217952111475,
      0.002203514796465104,
      0.002051928203101938,
      0.001902917465208279,
      0.0017564387437041928,
      0.0016124491199268607,
      0.0014709062872049245,
      0.0013317687345985056,
      0.001194995552102169,
      0.0010605464100187593,
      0.0009283819160793628,
      0.0007984632824354017,
      0.0006707522943374945,
      0.000545211420982807,
      0.0004218038271315537,
      0.0003004932094690566,
      0.00018124393395394905,
      6.402108042315668e-05,
      -5.1209821803492326e-05,
      -0.00016448265557509549,
      -0.0002758307217968231,
      -0.00038528663477971066,
      -0.0004928826283856081,
      -0.0005986503073027022,
      -0.0007026207011546592,
      -0.0008048243480941071,
      -0.0009052913383307902,
      -0.0010040511334319085,
      -0.0011011326754968127,
      -0.0011965645580167491,
      -0.0012903748137721176,
      -0.0013825909359454925,
      -0.0014732401385685703,
      -0.0015623489734834764,
      -0.0016499435747603455,
      -0.0017360498056561923,
      -0.0018206928384896805,
      -0.0019038975717278988,
      -0.0019856884923136805,
      -0.0020660894599384767,
      -0.002145124182605293,
      -0.0022228159597427397,
      -0.002299187582786249,
      -0.002374261424712269,
      -0.002448059546959712,
      -0.0025206036588444588,
      -0.0025919150692402153,
      -0.002662014719204158,
      -0.0027309232261677543,
      -0.002798660856831791,
      -0.0028652474028782954,
      -0.0029307024751627493,
      -0.0029950453070362094,
      -0.0030582947537631977,
      -0.003120469448941239,
      -0.0031815875662104236,
      -0.003241667144943894,
      -0.003300725785821895,
      -0.0033587807897964696,
      -0.003415849200580681,
      -0.003471947871698801,
      -0.0035270932781065563,
      -0.0035813016443853813,
      -0.003634588881478947,
      -0.003686970706244825,
      -0.003738462353287177,
      -0.003789078991066823,
      -0.0038388355905018736,
      -0.0038877467103078096,
      -0.0039358266750337476,
      -0.003983089618515302,
      -0.004029549456630309,
      -0.004075219814854384,
      -0.004120114151710918,
      -0.004164245569734614,
      -0.004207627121547453,
      -0.004250271466586999,
      -0.004292191137050633,
      -0.004333398510919528,
      -0.004373905771301905,
      -0.0044137247381563815,
      -0.004452866997324598,
      -0.004491344041485142,
      -0.0045291672770651865,
      -0.004566347903536371,
      -0.0046028967349337,
      -0.0046388244584559726,
      -0.004674141676539295,
      -0.0047088586937690455,
      -0.0047429857358306056,
      -0.004776532900293636,
      -0.004809510056482326,
      -0.004841926833278369,
      -0.004873792784126,
      -0.004905117341920147,
      -0.004935909595106885,
      -0.004966178520673859,
      -0.004995933013027928,
      -0.005025181874247846,
      -0.00505393375978168,
      -0.005082197078710254,
      -0.005109980192202536,
      -0.005137291090054171,
      -0.005164137899317705,
      -0.005190528483395119,
      -0.005216470638503145,
      -0.00524197197795424,
      -0.0052670399745114865,
      -0.005291681977409436,
      -0.005315905317360826,
      -0.005339717074432065,
      -0.00536312415673487,
      -0.005386133544045828,
      -0.0054087520032960485,
      -0.005430986089729283,
      -0.005452842344556679,
      -0.005474327123222052,
      -0.005495446798617755,
      -0.0055162075633057184
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334176652935136,
      10.091606328399758,
      9.841895240436033,
      9.587936458067457,
      9.332392969074533,
      9.077585186376922,
      8.82544539082409,
      8.57749803040252,
      8.334861595736427,
      8.098274879961151,
      7.868136725961569,
      7.644557253577263,
      7.42741472797802,
      7.216413231342431,
      7.0111373794599885,
      6.811101501825926,
      6.615791895410144,
      6.424701682363258,
      6.237358473948553,
      6.053345406587691,
      5.872314852759838,
      5.693984079766077,
      5.518131909309394,
      5.34462074873154,
      5.173378878207638,
      5.004421173672185,
      4.837883721386067,
      4.6739949683858,
      4.5130372529605856,
      4.355322135403883,
      4.201198293579547,
      4.051044550230466,
      3.905235915718836,
      3.764128661503657,
      3.6280496449128523,
      3.4972856951670814,
      3.37207380520345,
      3.252595865451561,
      3.13897382875306,
      3.0312547426625516,
      2.9294089233156733,
      2.8333384053982633,
      2.7428527525449367,
      2.657696388537208,
      2.5776002548700583,
      2.502291644957458,
      2.4314998656116256,
      2.3649586069068453,
      2.3023934233671923,
      2.243500268863757,
      2.187899639677003,
      2.1352325690706397,
      2.0851659755051806,
      2.0373940169799627,
      1.991651738512218,
      1.9477181783486415,
      1.9054153062454284,
      1.8645898355463295,
      1.8251134870725378,
      1.7868718725045245,
      1.7497693117760145,
      1.713729489170787,
      1.6786939027039656,
      1.6446151747026077,
      1.611450788791907,
      1.5791619118983273,
      1.5477128342244508,
      1.5170710069521773,
      1.487205970307763,
      1.4580887992424652,
      1.4296920149701875,
      1.4019896048247098,
      1.3749578031463552,
      1.3485729324748341,
      1.3228102450728945,
      1.2976467613642182,
      1.273061278261187,
      1.2490340230217558,
      1.2255464147544706,
      1.202580896639206,
      1.1801208139225128,
      1.1581503233836024,
      1.1366547914480332,
      1.1156212410536372,
      1.0950374679489427,
      1.0748916891847342,
      1.055172076143869,
      1.0358669330179016,
      1.0169648143474694,
      0.9984545922556461,
      0.9803254900060681,
      0.9625670971389477,
      0.945169371832663,
      0.9281226360021387,
      0.9114175650518597,
      0.8950451759080013,
      0.8789968134201902,
      0.8632641375973158,
      0.8478391092419804,
      0.8327139761608926,
      0.817881260639205,
      0.8033337467700882,
      0.7890644683046553,
      0.7750666974218999,
      0.7613339341980846,
      0.7478598957342608,
      0.7346385068387675,
      0.7216638906465268,
      0.708930360449241,
      0.6964324105445417,
      0.6841647090422277,
      0.6721220903725346,
      0.660299547678378,
      0.6486922266894006,
      0.6372954191657977,
      0.6261045571961823,
      0.6151152071901624,
      0.6043230644374664,
      0.5937239485393482,
      0.5833144601712292,
      0.5730917021398042,
      0.5630524772214548,
      0.5531934149749986,
      0.5435110721219838,
      0.5340019941635816,
      0.524662753888218,
      0.5154899728313793,
      0.5064803343470553,
      0.4976305917796351,
      0.4889375707302285,
      0.4803981709061235,
      0.472009365810679,
      0.46376820142390823,
      0.4556717947653223,
      0.4477173321073594,
      0.4399022677601304,
      0.4322243256826976,
      0.42468115724614974,
      0.4172703580928595,
      0.4099895100754718,
      0.4028362074272447,
      0.3958080723085702,
      0.38890276377055216,
      0.38211798277963693,
      0.3754514752695121,
      0.36890103350200804,
      0.36246462757890335,
      0.35614033220790503,
      0.349926187474198,
      0.34382022836213905,
      0.337820502075898,
      0.3319250787428105,
      0.3261320578757021,
      0.320439571646195,
      0.3148457903053065,
      0.30934895072295987,
      0.30394733147764,
      0.2986392288834579,
      0.293422963476035,
      0.2882968834893097,
      0.28325936639036775,
      0.2783088194878629,
      0.2734436807686391,
      0.26866241840620175,
      0.2639635303824955,
      0.2593455440617407,
      0.2548070154140941,
      0.2503465286044904,
      0.24596269551573618,
      0.24165415495487522,
      0.23741957204023934,
      0.23325760699843107,
      0.22916677313056727,
      0.22514560280475457,
      0.22119273844582535,
      0.21730689998123684,
      0.2134868643649055,
      0.20973145253114825,
      0.20603952060122027,
      0.20241002700368926,
      0.19884228605232243,
      0.19533561410778777,
      0.19188917694102403,
      0.18850197117072337,
      0.18517294396276723,
      0.1819010673697216,
      0.1786853358268663,
      0.17552476437595477,
      0.17241838764534942,
      0.1693652588264777,
      0.1663644488801589,
      0.16341504605995477,
      0.16051615549119203,
      0.15766689874808887,
      0.15486641343514848,
      0.15211385283538276,
      0.14940838550442126,
      0.1467491950840851,
      0.14413547992124015,
      0.1415664527529316,
      0.139041340361438,
      0.13655938338373386,
      0.13411983614125297,
      0.1317219661278681,
      0.12936505404569792,
      0.1270483932878098,
      0.12477128982202183,
      0.12253306186427775,
      0.12033303971077976,
      0.11817056556213872,
      0.11604499319420888,
      0.11395568784960969,
      0.11190202583458618,
      0.1098833943739459,
      0.10789919156432275,
      0.10594882609590535,
      0.10403171703371282,
      0.1021472936204974,
      0.1002949950302478,
      0.09847427025691213,
      0.09668457786995158,
      0.09492538599974013,
      0.09319617189052151,
      0.09149642195543496,
      0.08982563165287868,
      0.08818330509454075,
      0.08656895509413419,
      0.0849821028579016,
      0.08342227795575104,
      0.08188901800973414,
      0.08038186872596965,
      0.07890038369077802,
      0.07744412421378412,
      0.07601265926561651,
      0.07460556507355362,
      0.07322242525527656,
      0.07186283061036118,
      0.0705263791217825,
      0.06921267555725023,
      0.06792133157900804,
      0.0666519654803016,
      0.06540420223606339,
      0.06417767311025002,
      0.06297201585539877,
      0.061786874417571275,
      0.0606218988837932,
      0.059476745226052,
      0.05835107539163202,
      0.05724455717997073,
      0.05615686411921003,
      0.055087675112604845,
      0.05403667478249342,
      0.05300355318997437,
      0.051988005667213774,
      0.05098973276773809,
      0.050008440090705875,
      0.04904383840324905,
      0.04809564329609612,
      0.04716357527381452,
      0.046247359714396225,
      0.045346726509759114,
      0.0444614103852708,
      0.04359115055012213,
      0.04273569057192046,
      0.04189477847741601,
      0.04106816650773429,
      0.040255611223633796,
      0.039456873360117814,
      0.03867171779219822,
      0.03789991326220693,
      0.03714123247806104,
      0.03639545199752533,
      0.0356623523756049,
      0.03494171781818768,
      0.03423333625693847,
      0.03353699913295922,
      0.032852501391358695,
      0.03217964158457372,
      0.03151822169059173,
      0.030868047141514733,
      0.030228926668487362,
      0.029600672121071203,
      0.028983098699153772,
      0.028376024765675117,
      0.02777927159478156,
      0.027192663615033755,
      0.026616028372063002,
      0.026049196210731995,
      0.025492000254223657,
      0.024944276795048622,
      0.024405864647997016,
      0.023876605499867455,
      0.023356343620566204,
      0.02284492596647687,
      0.02234220222402496,
      0.02184802454584456,
      0.02136224754476091,
      0.020884728328884602,
      0.02041532652112662,
      0.019953904065802948,
      0.019500325311534308,
      0.01905445695077785,
      0.01861616774575294,
      0.01818532887324892,
      0.017761813623503063,
      0.01734549749559865,
      0.016936258065582927,
      0.01653397505410876,
      0.016138530198599302,
      0.015749807146017036,
      0.015367691677728902,
      0.014992071395030157,
      0.014622835972329253,
      0.014259876839049631,
      0.013903087313777434,
      0.013552362459673391,
      0.013207599156500343,
      0.012868696027027771,
      0.0125355535166875,
      0.012208073783189038,
      0.011886160395299085,
      0.011569718737360193,
      0.011258655828992437,
      0.010952880221260135,
      0.010652302095928719,
      0.010356833167736407,
      0.01006638648435995,
      0.00978087661334862,
      0.009500219669492691,
      0.009224333094062476,
      0.008953135871612297,
      0.008686548326445095,
      0.00842449212200962,
      0.008166890137862075,
      0.007913666669754434,
      0.007664747202350936,
      0.0074200586832056355,
      0.007179529204309379,
      0.006943088107950111,
      0.006710665874691537,
      0.006482194149760175,
      0.006257605729178723,
      0.006036834684110376,
      0.005819816121153551,
      0.00560648622034486,
      0.005396782264626141,
      0.005190642711660796,
      0.004988006971476915,
      0.00478881546756061,
      0.004593009657621161,
      0.004400532032759043,
      0.004211325955257235,
      0.004025335786318738,
      0.0038425069030926223,
      0.003662785611214274,
      0.003486118997911616,
      0.003312455201432522,
      0.003141743181810218,
      0.002973932819753925,
      0.0028089747324802116,
      0.0026468204488331237,
      0.0024874222635893873,
      0.0023307333491495216,
      0.0021767076163543074,
      0.0020252998514803697,
      0.001876465506870988,
      0.0017301609335541525,
      0.0015863431076513466,
      0.0014449698308888854,
      0.0013059994945474574,
      0.00116939125993603,
      0.0010351050251922967,
      0.0009031012041624812,
      0.0007733410736834019,
      0.0006457864432975819,
      0.0005203998490245637,
      0.00039714434878423965,
      0.00027598379759534615,
      0.00015688253985425576,
      3.980568303878325e-05,
      -7.528120470923742e-05,
      -0.0001884120069668125,
      -0.00029961993135767045,
      -0.0004089376145128365,
      -0.0005163971992570762,
      -0.0006220303399027685,
      -0.0007258680467787776,
      -0.0008279407441630687,
      -0.0009282785807483728,
      -0.001026911070734849,
      -0.0011238670890264498,
      -0.0012191750479789013,
      -0.0013128630918716638,
      -0.0014049587364335953,
      -0.001495489053492396,
      -0.0015844806688681493,
      -0.0016719597461876904,
      -0.001757951962333696,
      -0.00184248254457198,
      -0.0019255763506206677,
      -0.0020072578452877956,
      -0.0020875510439357587,
      -0.002166479447676162,
      -0.002244066224778159,
      -0.0023203342824230084,
      -0.0023953060386889607,
      -0.0024690035230777612,
      -0.0025414484315352693,
      -0.0026126619505903973,
      -0.002682665044208903,
      -0.002751478224227805,
      -0.002819121726473734,
      -0.0028856154946821683,
      -0.0029509791125844507,
      -0.0030152317471871712,
      -0.0030783922938954064,
      -0.0031404792917358554,
      -0.003201511021761962,
      -0.0032615053940452357,
      -0.0033204799799793315,
      -0.0033784522276128423,
      -0.0034354391674577263,
      -0.0034914574921410466,
      -0.00354652367289184,
      -0.0036006539413533448,
      -0.0036538641499118864,
      -0.0037061699165353208,
      -0.0037575867115061732,
      -0.0038081296065166133,
      -0.003857813403907773,
      -0.003906652669215948,
      -0.003954661820205179,
      -0.0040018548716165125,
      -0.004048245865802287,
      -0.004093848374164924,
      -0.004138675760539527,
      -0.004182741182718201,
      -0.004226057586828638,
      -0.00426863771364318,
      -0.004310494097736542,
      -0.0043516389958334675,
      -0.004392084562043915,
      -0.004431842673052302,
      -0.00447092500017312,
      -0.0045093430171572095,
      -0.004547108108498487,
      -0.004584231264520532,
      -0.004620723448847818,
      -0.004656595393500765,
      -0.004691857615431164,
      -0.004726520445091184,
      -0.004760594111677974,
      -0.004794088598674582,
      -0.004827013797518925,
      -0.004859379381189862,
      -0.00489119485479063,
      -0.004922469624835793,
      -0.004953212794196785,
      -0.004983433420738336,
      -0.005013140380831532,
      -0.00504234244905491,
      -0.0050710482434427285,
      -0.0050992660429665165,
      -0.0051270042018830165,
      -0.0051542708833661015,
      -0.005181074142649671,
      -0.005207421773880989,
      -0.005233321582853475,
      -0.005258781130912259,
      -0.0052838079685763,
      -0.00530840949982301,
      -0.005332592909122259,
      -0.005356365285171487,
      -0.005379733489658851,
      -0.005402704470559729,
      -0.005425284958469684,
      -0.005447481633175146,
      -0.005469301130683565,
      -0.005490749789308922,
      -0.005511833852812052,
      -0.005532559615726674
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334174326885332,
      10.091595927701158,
      9.84187147725584,
      9.587894624878327,
      9.332328974625973,
      9.077496192232198,
      8.82532960373008,
      8.577354393371595,
      8.334689646776658,
      8.098074541332458,
      7.867908138420554,
      7.644300674706763,
      7.427130460494183,
      7.216101585051902,
      7.010798653429831,
      6.8107359910706275,
      6.615399910498578,
      6.424283582196798,
      6.23691470220041,
      6.052876531946285,
      5.87182163030195,
      5.693467548954829,
      5.517593332381082,
      5.344061526684705,
      5.172800571517236,
      5.003826047510037,
      4.8372747764787745,
      4.673375429190241,
      4.512410444040186,
      4.3546915793576115,
      4.2005677858963715,
      4.050417795308479,
      3.904616451221557,
      3.763519797149595,
      3.6274544055281215,
      3.496706779124565,
      3.371513548885284,
      3.2520562185512154,
      3.138456260573593,
      3.0307601163206317,
      2.928937551518602,
      2.8328900411008293,
      2.7424264452834692,
      2.657291024602428,
      2.577214489092805,
      2.5019239630995576,
      2.4311488003741517,
      2.3646227451084245,
      2.3020712050833856,
      2.2431897097376847,
      2.187598678142002,
      2.1349392664059,
      2.084878266692967,
      2.037110212598228,
      1.9913705187420272,
      1.9474385671310923,
      1.905136580498993,
      1.8643114569396622,
      1.8248350112022524,
      1.7865928849523562,
      1.7494895374347197,
      1.7134488619533605,
      1.6784127595073979,
      1.644333809708985,
      1.6111693938167455,
      1.5788806123064438,
      1.5474317204012487,
      1.5167901535116068,
      1.4869254267412295,
      1.4578085995513856,
      1.4294121823649835,
      1.4017101642494336,
      1.374678785151877,
      1.3482943753571084,
      1.322532183325747,
      1.2973692202229505,
      1.2727842776842968,
      1.2487575797185944,
      1.2252705434799989,
      1.20230561131522,
      1.1798461279765546,
      1.1578762502708715,
      1.136381360212903,
      1.1153484811706895,
      1.0947654143994796,
      1.07462037363866,
      1.0549015237703816,
      1.0355971648635038,
      1.016695848672588,
      0.9981864455937017,
      0.9800581783023843,
      0.9623006360062798,
      0.9449037764830326,
      0.9278579212106769,
      0.911153745306211,
      0.8947822657436802,
      0.8787348276887539,
      0.8630030909560402,
      0.8475790159322654,
      0.8324548504832089,
      0.8176231168021484,
      0.8030765989283338,
      0.7888083305827914,
      0.77481158359351,
      0.7610798577575738,
      0.7476068703363432,
      0.7343865458608915,
      0.7214130072980233,
      0.7086805674096628,
      0.6961837206833077,
      0.6839171349566098,
      0.6718756442453849,
      0.660054241275953,
      0.648448071653594,
      0.6370524271423487,
      0.6258627392920604,
      0.6148745741327398,
      0.6040836268496905,
      0.5934857188078747,
      0.5830775256784353,
      0.5728561489196905,
      0.5628183605253724,
      0.5529607703697695,
      0.5432799227273158,
      0.5337723553236832,
      0.5244346356218456,
      0.5152633817741691,
      0.5062552752169716,
      0.4974070678111587,
      0.488715584223867,
      0.48017772348825255,
      0.4717904584551703,
      0.463550834745483,
      0.45545596905069613,
      0.4475030474409599,
      0.4396895451588539,
      0.4320131862406685,
      0.42447161303714537,
      0.4170624154213548,
      0.4097831716854563,
      0.40263147359901263,
      0.3956049417389177,
      0.3887012339851519,
      0.38191805074011426,
      0.37525313756706613,
      0.36870429056375426,
      0.3622694853201896,
      0.3559467923475077,
      0.34973424891483357,
      0.3436298880597216,
      0.3376317557962373,
      0.3317379215566039,
      0.32594648413899296,
      0.32025557548378963,
      0.31466336647155946,
      0.30916809499285325,
      0.3037680381497935,
      0.29846149173637526,
      0.29324677596818827,
      0.2881222386638136,
      0.2830862569661951,
      0.27813723812596475,
      0.27327361992846244,
      0.2684938703265396,
      0.2637964871486536,
      0.25917999751731685,
      0.25464295741395543,
      0.2501839511256975,
      0.2458015903983086,
      0.24149451372956077,
      0.23726138624992335,
      0.23310087169635155,
      0.2290114883600516,
      0.22499176533390125,
      0.22104034293132419,
      0.21715593973945954,
      0.21333733198443636,
      0.2095833400231321,
      0.20589281959760863,
      0.20226472492189557,
      0.1986983648706728,
      0.1951930589334435,
      0.19174797311124772,
      0.18836210295586575,
      0.1850343980373927,
      0.18176383193989684,
      0.17854940005546893,
      0.17539011817351388,
      0.1722850210685186,
      0.16923316213174133,
      0.1662336124754649,
      0.16328546050749804,
      0.1603878113955246,
      0.15753978675220415,
      0.1547405241645281,
      0.1519891769310044,
      0.14928491366817154,
      0.14662691796445496,
      0.1440143881131039,
      0.14144653676482033,
      0.13892259075359847,
      0.13644179079782032,
      0.13400339113928228,
      0.13160665944409508,
      0.1292508762146896,
      0.12693533491469533,
      0.12465934144511598,
      0.12242221402082715,
      0.12022328307840838,
      0.11806189068748553,
      0.11593739074213459,
      0.11384914840729932,
      0.11179654001421163,
      0.10977895283843132,
      0.10779578516187352,
      0.10584644563825076,
      0.10393035328403241,
      0.10204693731912266,
      0.10019563700941563,
      0.09837590137715586,
      0.09658718890566094,
      0.09482896773414888,
      0.09310071526795291,
      0.09140191794105818,
      0.0897320713216202,
      0.08809067949761465,
      0.08647725529695652,
      0.08489131999088281,
      0.08333240312184056,
      0.08180004239543058,
      0.08029378355670096,
      0.07881318024341794,
      0.07735779384539872,
      0.07592719322275576,
      0.07452095469550701,
      0.07313866195487831,
      0.07177990598852103,
      0.07044428468198774,
      0.06913140292562418,
      0.06784087233610422,
      0.06657231132075879,
      0.06532534489300608,
      0.06409960434028486,
      0.06289472739807471,
      0.06171035816807892,
      0.06054614672573653,
      0.059401749096224594,
      0.058276827399059754,
      0.05717104938212652,
      0.056084088666876045,
      0.05501562437903017,
      0.05396534118836331,
      0.052932929139568194,
      0.05191808341120706,
      0.050920504628485214,
      0.04993989854714382,
      0.04897597600813661,
      0.04802845278437293,
      0.04709704937587382,
      0.04618149104233245,
      0.045281507929776324,
      0.04439683473900583,
      0.04352721058266881,
      0.04267237913611125,
      0.041832088627165316,
      0.04100609125178893,
      0.040194143696093095,
      0.039396006704570594,
      0.03861144508457911,
      0.03784022786571713,
      0.037082127756550065,
      0.03633692139819649,
      0.0356043893527405,
      0.034884315833265775,
      0.034176488785098186,
      0.0334806997204225,
      0.03279674379572145,
      0.03212441961076099,
      0.03146352926839087,
      0.030813878200552404,
      0.03017527504462913,
      0.029547531850397348,
      0.028930463714948625,
      0.028323889008375243,
      0.027727629287438174,
      0.02714150902458219,
      0.026565355697994605,
      0.02599899976596677,
      0.025442274449432565,
      0.024895015976805022,
      0.024357063325030563,
      0.023828258156022283,
      0.023308444776233457,
      0.02279747029059993,
      0.022295184348017128,
      0.021801439220781788,
      0.021316089595308785,
      0.020838992614115932,
      0.02037000791454621,
      0.019908997505209972,
      0.019455825715665512,
      0.01901035928205965,
      0.01857246723880881,
      0.01814202069183154,
      0.017718892987885513,
      0.017302959593792584,
      0.016894098142820113,
      0.016492188438767548,
      0.01609711227125849,
      0.015708753404045473,
      0.015326997596594902,
      0.014951732550829487,
      0.014582847992563302,
      0.014220235372734358,
      0.013863788008081435,
      0.013513401057496776,
      0.013168971371512033,
      0.012830397749615124,
      0.012497580536955212,
      0.012170421952620795,
      0.011848825718794746,
      0.011532697312969242,
      0.011221943757839388,
      0.010916473635966492,
      0.01061619713842773,
      0.010321025853189815,
      0.010030872984652134,
      0.0097456531973786,
      0.00946528266961815,
      0.009189678885245179,
      0.008918760838115734,
      0.008652448815962215,
      0.008390664590339023,
      0.008133331141371752,
      0.007880372813647174,
      0.007631715280069569,
      0.007387285345836939,
      0.00714701103647719,
      0.006910821811666822,
      0.006678648084678523,
      0.006450421649171418,
      0.006226075347946216,
      0.0060055432929398,
      0.00578876060645189,
      0.005575663497426795,
      0.0053661894120088215,
      0.0051602767687445915,
      0.0049578649013840926,
      0.004758894323532202,
      0.004563306558497634,
      0.004371044081851208,
      0.004182050299094592,
      0.003996269698665445,
      0.0038136476024214065,
      0.003634130326367434,
      0.003457665122547694,
      0.0032842000101612717,
      0.0031136839850514847,
      0.0029460669848040354,
      0.002781299705113471,
      0.002619333717830469,
      0.0024601213825956683,
      0.0023036158826327097,
      0.002149771136375997,
      0.001998541928152567,
      0.0018498838007174666,
      0.0017037530397345255,
      0.0015601066931831237,
      0.0014189024406665023,
      0.0012800989046534454,
      0.0011436552395891674,
      0.0010095313408654246,
      0.0008776876744727948,
      0.0007480855162170432,
      0.0006206867806628604,
      0.0004954539351463526,
      0.000372350240550752,
      0.00025133947987508395,
      0.00013238597491847527,
      1.5454904485067564e-05,
      -9.948816981631546e-05,
      -0.00021247703131466492,
      -0.0003235448774058747,
      -0.0004327244564473412,
      -0.0005400478778883523,
      -0.0006455466941410165,
      -0.0007492518270073759,
      -0.0008511938164112664,
      -0.0009514027177159083,
      -0.0010499079268315253,
      -0.00114673840417034,
      -0.0012419226990632057,
      -0.0013354887437124823,
      -0.0014274640266543222,
      -0.001517875573289118,
      -0.0016067500138660057,
      -0.0016941134462787875,
      -0.0017799915959252715,
      -0.0018644096557014329,
      -0.001947392544171284,
      -0.002028964659598988,
      -0.002109150007685195,
      -0.002187972016087471,
      -0.0022654538296630077,
      -0.0023416183951360985,
      -0.002416488067730852,
      -0.0024900848897821955,
      -0.0025624304418529957,
      -0.002633546048301786,
      -0.002703452549441659,
      -0.0027721705232052053,
      -0.002839720257749167,
      -0.0029061215639866137,
      -0.0029713939680086976,
      -0.003035556539507488,
      -0.003098628259309565,
      -0.0031606276739223,
      -0.0032215729811925537,
      -0.0032814821463503126,
      -0.003340372807046017,
      -0.0033982622980152544,
      -0.003455167636550914,
      -0.0035111054684970324,
      -0.00356609230527591,
      -0.0036201443278617825,
      -0.003673277380304637,
      -0.00372550712750324,
      -0.0037768489767211863,
      -0.003827317908967734,
      -0.0038769287860335056,
      -0.003925696166937406,
      -0.003973634409849083,
      -0.004020757677460196,
      -0.004067079744406422,
      -0.004112614286879042,
      -0.004157374726290258,
      -0.0042013742374272574,
      -0.004244625609391469,
      -0.004287141652121494,
      -0.004328934832989158,
      -0.004370017510425347,
      -0.0044104017087802545,
      -0.004450099299164518,
      -0.004489122026978029,
      -0.0045274812654942384,
      -0.004565188340292382,
      -0.004602254319093167,
      -0.004638690189210818,
      -0.004674506525077097,
      -0.004709713949846787,
      -0.004744322769646956,
      -0.004778343192373626,
      -0.004811785196002056,
      -0.004844658771378826,
      -0.004876973496937077,
      -0.0049087388053767195,
      -0.0049399641415456726,
      -0.0049706585858745505,
      -0.005000831278536392,
      -0.005030490958609127,
      -0.005059646367632714,
      -0.005088306086842153,
      -0.005116478360617055,
      -0.005144171727067877,
      -0.005171394306971318,
      -0.005198154084134973,
      -0.005224458974754086,
      -0.005250316635830153,
      -0.0052757346478337535,
      -0.00530072046821827,
      -0.00532528147968304,
      -0.005349424942987749,
      -0.005373157910910292,
      -0.005396487332183446,
      -0.005419420148792219,
      -0.005441963145102072,
      -0.005464122847266601,
      -0.005485905835192344,
      -0.005507318456525422,
      -0.005528366991677342,
      -0.005549057595628051
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334172000326902,
      10.091585523341914,
      9.84184769949558,
      9.587852759913625,
      9.332264928670952,
      9.077407123078427,
      8.82521371879488,
      8.577210638848289,
      8.334517561142173,
      8.097874049912516,
      7.8676793839445285,
      7.644043912779699,
      7.426845993989098,
      7.215789722044004,
      7.010459692429391,
      6.810370226972747,
      6.615007654942475,
      6.423865193854506,
      6.23647062445073,
      6.052407335065881,
      5.8713280718485805,
      5.6929506695549925,
      5.517054396721892,
      5.343501938593976,
      5.172221894972217,
      5.0032306707926475,
      4.836665793495725,
      4.672756036805024,
      4.511783942030838,
      4.354061470112351,
      4.199937845697824,
      4.049791709894719,
      3.9039977414751874,
      3.7629117568380615,
      3.626860044782248,
      3.496128782531257,
      3.3709542405515687,
      3.2515175381242227,
      3.1379396677203073,
      3.0302664651474402,
      2.9284671456431504,
      2.8324426252727224,
      2.7420010639870727,
      2.656886559541313,
      2.576829591119693,
      2.501557116695173,
      2.4307985382937596,
      2.3642876535012274,
      2.3017497239878772,
      2.2428798561284222,
      2.1872983931741077,
      2.134646613887929,
      2.0845911846296845,
      2.0368270143726597,
      1.991089887658937,
      1.947159529846841,
      1.9048584157427908,
      1.8640336282177263,
      1.8245570752050098,
      1.78631442770636,
      1.7492102836994297,
      1.7131688004676906,
      1.6781322508106709,
      1.6440531201987174,
      1.6108886976140815,
      1.578600022759563,
      1.547151321002059,
      1.5165100142559849,
      1.486645594521939,
      1.4575291061601816,
      1.4291330510191853,
      1.4014314188071841,
      1.3744004562197907,
      1.3480165015096965,
      1.322254798538221,
      1.297092349733688,
      1.2725079411089553,
      1.2484817936339296,
      1.224995322664643,
      1.2020309695628721,
      1.1795720794999138,
      1.157602809052593,
      1.1361085549546388,
      1.1150763415556664,
      1.0944939759127772,
      1.0743496685949856,
      1.0546315774117005,
      1.0353279982446362,
      1.0164274804531288,
      0.9979188929434701,
      0.9797914571759521,
      0.9620347618032405,
      0.9446387646898557,
      0.927593786855152,
      0.9108905033607283,
      0.8945199308497251,
      0.8784734144750975,
      0.8627426139838922,
      0.8473194898799958,
      0.8321962900610984,
      0.8173655366524127,
      0.8028200132566111,
      0.7885527534351606,
      0.7745570292212993,
      0.7608263400025994,
      0.7473544028423945,
      0.7341351420671032,
      0.7211626805982079,
      0.7084313310454295,
      0.6959355873194499,
      0.6836701167779002,
      0.6716297532953409,
      0.6598094895811153,
      0.6482044709046358,
      0.6368099887463242,
      0.6256214744643708,
      0.6146344938522386,
      0.6038447416762848,
      0.5932480793045496,
      0.5828412347101205,
      0.572621271410597,
      0.5625849380665591,
      0.5527288301617588,
      0.54304948270358,
      0.5335434276601946,
      0.524207228311136,
      0.515037500534735,
      0.5060309243449307,
      0.49718424995059834,
      0.48849430137225763,
      0.47995797684738145,
      0.47157224890875077,
      0.46333416294785235,
      0.45524083525420134,
      0.4472894515957898,
      0.43947750845396827,
      0.43180272999413283,
      0.4242627493954303,
      0.41685515068674084,
      0.40957750844765367,
      0.4024274121113201,
      0.39540248069620093,
      0.3885003711136221,
      0.3817187831757699,
      0.3750554618718639,
      0.36850820726201683,
      0.36207500055105635,
      0.3557539079135347,
      0.3495429637130991,
      0.34344019915442237,
      0.337443658908875,
      0.3315514117255638,
      0.32576155594117734,
      0.3200722230860592,
      0.3144815847208849,
      0.30898787941312983,
      0.3035893832702833,
      0.2982843915140621,
      0.2930712236326289,
      0.28794822718028457,
      0.2829137791518623,
      0.27796628662364714,
      0.27310418721554974,
      0.26832594865772597,
      0.2636300687372457,
      0.25901507440943855,
      0.2544795215001874,
      0.2500219942646231,
      0.24564110424607427,
      0.24133548993569354,
      0.2371038163334678,
      0.2329447507858691,
      0.2288568163555478,
      0.22483853889510436,
      0.2208885567425735,
      0.21700558733190986,
      0.2131884059168148,
      0.20943583223542578,
      0.20574672173612454,
      0.20212002441469884,
      0.19855504376681596,
      0.19505110262354416,
      0.19160736706090742,
      0.1882228314090234,
      0.18489644769089517,
      0.18162719104516606,
      0.1784140576787356,
      0.17525606400537028,
      0.17215224534921017,
      0.1691016552728669,
      0.16610336505069315,
      0.16315646307119389,
      0.16026005470172322,
      0.1574132613943962,
      0.15461522083839427,
      0.15186508625105227,
      0.14916202620006705,
      0.14650522434567465,
      0.14389387893813033,
      0.14132720266025245,
      0.13880442230058326,
      0.13632477857456374,
      0.1338875256804894,
      0.13149193122535396,
      0.12913727587799503,
      0.12682285301067106,
      0.12454796853705197,
      0.12231194072509662,
      0.12011409992649379,
      0.11795378840727426,
      0.11583035999894374,
      0.11374317990046463,
      0.11169162451666341,
      0.10967508111518748,
      0.10769294783734992,
      0.10574463334275488,
      0.10382955673646517,
      0.10194714735251047,
      0.10009684432943489,
      0.09827809674612233,
      0.09649036336502408,
      0.09473311221069276,
      0.09300582075171612,
      0.09130797552388442,
      0.08963907187269965,
      0.08799861400007156,
      0.08638611472014393,
      0.08480109543600955,
      0.08324308579630861,
      0.08171162355568146,
      0.0802062544286951,
      0.07872653203222853,
      0.0772720178302945,
      0.07584228080466818,
      0.07443689730827205,
      0.07305545103053618,
      0.07169753294802622,
      0.07036274101797833,
      0.06905068016742172,
      0.0677609621805299,
      0.06649320553139236,
      0.06524703514849226,
      0.06402208244173997,
      0.06281798524800354,
      0.06163438769219897,
      0.06047093982653405,
      0.059327297845375805,
      0.0582031238737087,
      0.05709808573680903,
      0.056011856989326446,
      0.054944116736681474,
      0.05389454985242801,
      0.05286284642852631,
      0.051848701807929824,
      0.05085181663060783,
      0.04987189662907286,
      0.04890865262727332,
      0.0479618005430649,
      0.04703106094220012,
      0.046116159086990544,
      0.04521682523485719,
      0.044332794144723825,
      0.043463805017236117,
      0.042609601623506424,
      0.04176993202487682,
      0.040944548738776086,
      0.0401332084343936,
      0.03933567187058013,
      0.03855170395071442,
      0.037781073583627305,
      0.03702355360419264,
      0.03627892084294818,
      0.0355469558924533,
      0.03482744297107467,
      0.03412017016971741,
      0.033424929070678976,
      0.03274151478715556,
      0.032069725952825666,
      0.03140936464834276,
      0.030760236386059656,
      0.030122149929519674,
      0.029494917329168528,
      0.02887835381194498,
      0.0282722778797509,
      0.02767651098851316,
      0.027090877728583596,
      0.026515205660530058,
      0.025949325289951485,
      0.025393069951924793,
      0.02484627584639368,
      0.024308782078245564,
      0.023780430294922314,
      0.02326106491328723,
      0.022750533064106338,
      0.02224868445377115,
      0.021755371341976363,
      0.021270448435883535,
      0.020793773056277876,
      0.020325204877690125,
      0.019864605932637412,
      0.0194118407392059,
      0.018966775967730862,
      0.018529280573978867,
      0.018099225915398164,
      0.017676485368024953,
      0.017260934428649233,
      0.016852450780362432,
      0.016450914283983226,
      0.016056206710912006,
      0.0156682119349569,
      0.015286815706209218,
      0.01491190580767096,
      0.014543371914373106,
      0.014181105536319873,
      0.013824999993747998,
      0.013474950647972345,
      0.013130854465515925,
      0.012792610154906467,
      0.012460118094001618,
      0.012133280524631333,
      0.011812001232544887,
      0.011496185711219568,
      0.011185741083675083,
      0.01088057597343041,
      0.010580600604501614,
      0.010285726652418259,
      0.009995867336931379,
      0.009710937412444103,
      0.00943085310061466,
      0.009155532010013458,
      0.008884892997137352,
      0.008618856477960941,
      0.008357344134790157,
      0.008100279041571469,
      0.0078475855847576,
      0.007599189382799716,
      0.007355017426973646,
      0.0071149978011272996,
      0.006879059851295739,
      0.006647134251926383,
      0.006419152759193849,
      0.006195048293280165,
      0.005974754910184594,
      0.005758207778460781,
      0.005545343185720228,
      0.005336098472992893,
      0.005130412132193472,
      0.004928223615736989,
      0.004729473467931193,
      0.004534103263180428,
      0.0043420555359660095,
      0.0041532738096000995,
      0.003967702431689102,
      0.003785286756656847,
      0.0036059732492207865,
      0.0034297091471374532,
      0.0032564425974687026,
      0.003086122567735834,
      0.0029186988108128842,
      0.0027541221511509454,
      0.002592344323685905,
      0.0024333176252541284,
      0.002276995280976649,
      0.00212333135566001,
      0.0019722805673421757,
      0.001823798548725083,
      0.0016778415262269975,
      0.0015343665746605898,
      0.0013933315058258606,
      0.0012546947921164954,
      0.0011184156513847953,
      0.0009844540778603376,
      0.0008527706277686039,
      0.0007233265379695835,
      0.000596083713856513,
      0.0004710046877766128,
      0.0003480527328865715,
      0.00022719164274011082,
      0.00010838582425134456,
      -8.399619228483917e-06,
      -0.00012319911412568508,
      -0.00023604631896051063,
      -0.00034697456215014924,
      -0.00045601638726607897,
      -0.0005632039291456924,
      -0.0006685686010242222,
      -0.0007721414024428532,
      -0.0008739529135627449,
      -0.0009740329954545629,
      -0.0010724111300848686,
      -0.001169116224170482,
      -0.0012641767672193559,
      -0.0013576209053902946,
      -0.00144947593479195,
      -0.0015397689430816613,
      -0.0016285264449209381,
      -0.0017157746071488553,
      -0.0018015390205726844,
      -0.001885844978710589,
      -0.0019687171570618293,
      -0.0020501800281916066,
      -0.002130257601446704,
      -0.0022089734919366706,
      -0.0022863508159274887,
      -0.002362412224407453,
      -0.002437180074721908,
      -0.002510676467395351,
      -0.002582923059436114,
      -0.0026539410284215693,
      -0.002723751244803082,
      -0.0027923743538023423,
      -0.002859830531860315,
      -0.002926139547141717,
      -0.0029913209132051235,
      -0.0030553938319798583,
      -0.0031183772440395766,
      -0.0031802895845661197,
      -0.003241149040419704,
      -0.0033009734813734728,
      -0.0033597806513027293,
      -0.0034175877035765357,
      -0.003474411694506644,
      -0.0035302693511507126,
      -0.0035851770291282408,
      -0.0036391510312037655,
      -0.0036922071495895563,
      -0.0037443610779200184,
      -0.0037956281292801613,
      -0.003846023321896036,
      -0.003895561488743224,
      -0.0039442572724283,
      -0.003992124921641672,
      -0.00403917862095997,
      -0.004085432234486402,
      -0.004130899265008942,
      -0.004175593053385391,
      -0.004219526690853481,
      -0.0042627132168067735,
      -0.004305165383741306,
      -0.004346895529119763,
      -0.004387916018301828,
      -0.004428238981326256,
      -0.0044678762588169565,
      -0.004506839454713296,
      -0.004545140026557268,
      -0.004582789273214583,
      -0.004619798245431344,
      -0.004656177776627423,
      -0.004691938652619471,
      -0.004727091374129191,
      -0.004761646274271234,
      -0.004795613584718039,
      -0.004829003291096638,
      -0.004861825325239396,
      -0.004894089139459623,
      -0.004925804271966389,
      -0.004956980072297205,
      -0.004987625719246278,
      -0.005017750205740376,
      -0.005047362412541827,
      -0.005076470964708622,
      -0.005105084424845571,
      -0.0051332112883040616,
      -0.005160859793986321,
      -0.00518803808379252,
      -0.005214754279415785,
      -0.005241016157639051,
      -0.0052668314673069575,
      -0.0052922077816712244,
      -0.00531715259804374,
      -0.005341673220900111,
      -0.005365776809733724,
      -0.00538947045151605,
      -0.005412761214108715,
      -0.0054356559194859,
      -0.005458161259682477,
      -0.005480283791123355,
      -0.005502030125904204,
      -0.0055234066712838165,
      -0.005544419737819179,
      -0.005565075436582343
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334169673971921,
      10.091575120813191,
      9.841823929916258,
      9.587810912221531,
      9.332200908242623,
      9.077318088752067,
      8.825097878369563,
      8.577066936920456,
      8.334345538560152,
      8.097673630361486,
      7.86745070886586,
      7.64378723935061,
      7.426561625310948,
      7.215477967234576,
      7.010120851423385,
      6.810004595076232,
      6.614615544489161,
      6.423446965742705,
      6.236026724926799,
      6.051938334684802,
      5.870834729727892,
      5.692434028294063,
      5.516515721907819,
      5.342942634458561,
      5.171643525712131,
      5.002635647453288,
      4.836057226955926,
      4.672137117933531,
      4.511157965921988,
      4.353431934749862,
      4.199308523143523,
      4.049166281777952,
      3.9033797242329613,
      3.762304440563935,
      3.6262664365158472,
      3.495551562864427,
      3.370395728751905,
      3.2509796687409143,
      3.1374238949480584,
      3.0297736383528293,
      2.9279975648245213,
      2.8319960324988322,
      2.741576499973926,
      2.6564829037824835,
      2.5764454929892895,
      2.5011910595701314,
      2.4304490535304555,
      2.3639533269384523,
      2.301428994754636,
      2.2425707400978356,
      2.186998831407396,
      2.1343546700921516,
      2.08430479691469,
      2.036544497869976,
      1.990809927343487,
      1.9468811528240877,
      1.9045809013366986,
      1.8637564404135425,
      1.8242797713548828,
      1.7860365946502224,
      1.748931647766424,
      1.7128894826571477,
      1.6778525971672085,
      1.6437733552079707,
      1.6106089672075736,
      1.5783204227365282,
      1.54687192297061,
      1.5162308804697624,
      1.4863667664404678,
      1.4572506124474722,
      1.4288549123871837,
      1.4011536585991065,
      1.3741231044277045,
      1.3477395967011463,
      1.3219783753864236,
      1.296816433858995,
      1.272232552850595,
      1.2482069501731927,
      1.22472103926244,
      1.2017572605231517,
      1.17929895870591,
      1.1573302905859058,
      1.1358366683976062,
      1.114805117082319,
      1.0942234485989215,
      1.0740798701545509,
      1.0543625335117932,
      1.0350597307276361,
      1.0161600088740683,
      0.997652234609695,
      0.9795256284371766,
      0.9617697782021356,
      0.9443746415008863,
      0.9273305391469159,
      0.9106281459902061,
      0.8942584785920016,
      0.8782128820344236,
      0.862483016090932,
      0.8470608411694212,
      0.8319386049847802,
      0.8171088295812993,
      0.8025642986689892,
      0.78829804563358,
      0.7743033420098998,
      0.7605736871897175,
      0.7471027979912318,
      0.7338845987432163,
      0.7209132121715593,
      0.7081829504801997,
      0.6956883075870893,
      0.683423950572363,
      0.6713847130158848,
      0.6595655875075588,
      0.6479617189040218,
      0.63656839801916,
      0.625381056017039,
      0.6143952587299994,
      0.6036067006028603,
      0.5930112829500553,
      0.582605786219453,
      0.5723872358557307,
      0.562352357460358,
      0.5524977316128075,
      0.5428198837430596,
      0.5333153400282836,
      0.5239806600893588,
      0.5148124570371958,
      0.5058074091457445,
      0.4969622660003203,
      0.488273850756167,
      0.47973906132320326,
      0.47135486957174777,
      0.4631183202690776,
      0.45502652964424467,
      0.4470766831484589,
      0.43926629815643764,
      0.4315930989216623,
      0.42405470958721486,
      0.41664870865059817,
      0.4093726670377386,
      0.40222417180288417,
      0.3952008403895074,
      0.38830032849507806,
      0.3815203351468598,
      0.37485860484365824,
      0.3683129418435329,
      0.36188133297295244,
      0.3555618397201069,
      0.3493524936890115,
      0.3432513243321968,
      0.33725637528748914,
      0.33136571430782075,
      0.32557743922227755,
      0.3198896810407461,
      0.3143006119687758,
      0.3088084715574618,
      0.30341153488383693,
      0.298108096433677,
      0.29289647540164065,
      0.2877750188380445,
      0.28274210346480666,
      0.27779613622379223,
      0.27293555439291894,
      0.26815882570897887,
      0.2634644478039827,
      0.25885094764432,
      0.2543168810279353,
      0.24986083197574094,
      0.2454814118421182,
      0.2411772591129483,
      0.23694703873516776,
      0.2327894215642448,
      0.22870293570285255,
      0.22468610368968955,
      0.22073756175034231,
      0.21685602593991446,
      0.2130402706439757,
      0.20928911507366907,
      0.2056014142841777,
      0.20197611408076305,
      0.19841251253113734,
      0.1949099358731111,
      0.19146755023369796,
      0.18808434876095598,
      0.18475928593198163,
      0.18149133841596296,
      0.1782795034135252,
      0.17512279793260294,
      0.1720202576075729,
      0.16897093623125783,
      0.16597390515243682,
      0.1630282528939896,
      0.16013308481997227,
      0.15728752254039186,
      0.15449070346521568,
      0.15174178099740593,
      0.1490399237889971,
      0.1463843153560134,
      0.14377415393083834,
      0.14120865218362028,
      0.13868703697128293,
      0.1362085490566831,
      0.1337724425817058,
      0.13137798515773977,
      0.12902445740419397,
      0.12671115269727892,
      0.12443737697638114,
      0.12220244860078949,
      0.120005697920392,
      0.11784646711220083,
      0.11572411002822297,
      0.11363799185091593,
      0.11158748900092667,
      0.10957198880709493,
      0.10759088942766776,
      0.10564359958423937,
      0.1037295384443483,
      0.10184813527124552,
      0.09999882929803387,
      0.09818106964761918,
      0.09639431501199044,
      0.09463803354829865,
      0.09291170266709693,
      0.09121480889646401,
      0.0895468477518619,
      0.0879073234174271,
      0.08629574879107829,
      0.08471164521646472,
      0.08315454241908606,
      0.08162397824301156,
      0.08011949838708028,
      0.07864065661768857,
      0.07718701432922126,
      0.07575814052265635,
      0.07435361170366317,
      0.07297301161939244,
      0.07161593119316399,
      0.07028196840553702,
      0.0689707282836044,
      0.06768182265149884,
      0.06641486998563959,
      0.06516949529066683,
      0.06394533005973707,
      0.06274201215349161,
      0.06155918577572123,
      0.06039650112264116,
      0.05925361432097572,
      0.0581301875730046,
      0.05702588875744096,
      0.05594039149049525,
      0.05487337504627696,
      0.05382452420255796,
      0.05279352911364288,
      0.05178008523511359,
      0.050783893223685754,
      0.04980465898738417,
      0.04884209336701484,
      0.04789591217378855,
      0.04696583610199729,
      0.0460515906351026,
      0.0451529058554458,
      0.044269516633627055,
      0.04340116227980067,
      0.042547586558043575,
      0.041708537689593705,
      0.040883768118195475,
      0.04007303456510328,
      0.039276097986055185,
      0.03849272327699341,
      0.03772267938945552,
      0.03696573935340594,
      0.03622167988893337,
      0.03549028161169135,
      0.03477132890291134,
      0.034064609838648535,
      0.033369916107604314,
      0.0326870428409751,
      0.03201578880575271,
      0.031355956160098175,
      0.03070735046346823,
      0.03006978044577806,
      0.029443058316310194,
      0.028826999482051616,
      0.028221422258986363,
      0.027626148243928197,
      0.027041002056145187,
      0.026465811294394712,
      0.025900406499180205,
      0.025344621088089166,
      0.02479829129615094,
      0.024261256234931868,
      0.023733357645065265,
      0.02321444007227523,
      0.022704350640747474,
      0.022202939167447856,
      0.02171005800043056,
      0.02122556186112321,
      0.02074930798777388,
      0.020281156270138476,
      0.019820968872442436,
      0.01936861008825946,
      0.018923946775946054,
      0.018486847957958696,
      0.018057184842269033,
      0.01763483094761749,
      0.017219661900572846,
      0.016811555457164045,
      0.016410391443790494,
      0.01601605178256457,
      0.015628420422853204,
      0.01524738312187543,
      0.014872827652279881,
      0.01450464371186603,
      0.014142722924026897,
      0.013786958769031342,
      0.0134372464971818,
      0.013093483074473108,
      0.012755567382827699,
      0.012423399931700196,
      0.01209688292614246,
      0.011775920163173933,
      0.01146041720152038,
      0.011150281155015053,
      0.01084542064881093,
      0.010545745931653397,
      0.010251168828455162,
      0.009961602598016657,
      0.009676962044382433,
      0.009397163373584979,
      0.009122124278309815,
      0.00885176366581176,
      0.008586002014204471,
      0.008324761085827293,
      0.008067963964026615,
      0.007815535011923587,
      0.007567400065624684,
      0.007323485983964023,
      0.007083720927988756,
      0.0068480342760513045,
      0.0066163567220289534,
      0.006388619971568731,
      0.00616475713579158,
      0.005944702144081221,
      0.005728390350281303,
      0.005515758068836688,
      0.005306742611127764,
      0.005101282510315347,
      0.004899317362704976,
      0.004700787628853265,
      0.004505634946958036,
      0.004313801871997952,
      0.004125231853826702,
      0.003939869377864478,
      0.003757659944263886,
      0.00357854989241736,
      0.003402486425365296,
      0.0032294178863302406,
      0.0030592933138390197,
      0.002892062611095921,
      0.002727676482706453,
      0.002566086584577277,
      0.002407245308912282,
      0.002251105826230711,
      0.0020976222131253246,
      0.001946749405834547,
      0.0017984429277250183,
      0.0016526591410283044,
      0.0015093551900208706,
      0.001368488845403561,
      0.0012300186121734242,
      0.0010939037002483112,
      0.0009601041188181218,
      0.0008285804366698281,
      0.000699293958122675,
      0.0005722066984259537,
      0.0004472812218038062,
      0.0003244807428075089,
      0.0002037691915504267,
      8.5110970417155e-05,
      -3.1528937548148126e-05,
      -0.0001461848388807357,
      -0.00025889041361613213,
      -0.0003696787521456157,
      -0.0004785824722078092,
      -0.0005856337644097032,
      -0.0006908641813840354,
      -0.0007943046025683279,
      -0.0008959856228153971,
      -0.00099593706793902,
      -0.0010941884300398105,
      -0.0011907685825146568,
      -0.0012857059506138034,
      -0.0013790284576858933,
      -0.0014707635011696626,
      -0.0015609381555718046,
      -0.0016495790434662928,
      -0.0017367120964705612,
      -0.0018223629879116174,
      -0.001906556978950789,
      -0.00198931878254306,
      -0.0020706728514831236,
      -0.0021506430669416335,
      -0.0022292530359977725,
      -0.0023065258725064133,
      -0.002382484243459732,
      -0.0024571505914993915,
      -0.0025305468476309154,
      -0.0026026945937599236,
      -0.0026736150519407857,
      -0.002743329091355113,
      -0.0028118573294575243,
      -0.0028792199137864473,
      -0.0029454366520832984,
      -0.0030105270837074913,
      -0.00307451023163448,
      -0.0031374050784361055,
      -0.0031992300740961185,
      -0.0032600034696446886,
      -0.0033197430832539636,
      -0.003378466510317043,
      -0.003436191128700546,
      -0.003492933919126281,
      -0.0035487114807829945,
      -0.003603540230108636,
      -0.0036574364208027976,
      -0.0037104158575836637,
      -0.0037624941938578533,
      -0.003813686662248502,
      -0.0038640083633932677,
      -0.003913473987984368,
      -0.003962098192904465,
      -0.004009895244812626,
      -0.004056879248161095,
      -0.004103063977955108,
      -0.0041484630863417755,
      -0.004193089914629058,
      -0.004236957685585654,
      -0.004280079332604619,
      -0.004322467537972185,
      -0.00436413466788052,
      -0.004405093043894829,
      -0.004445354704838907,
      -0.00448493155608067,
      -0.0045238351933185655,
      -0.004562077062901647,
      -0.004599668519417675,
      -0.004636620501214376,
      -0.004672943872405947,
      -0.004708649427352565,
      -0.004743747602169038,
      -0.004778248776727207,
      -0.004812163022499257,
      -0.0048455004477208855,
      -0.004878270772502932,
      -0.004910483691497415,
      -0.004942148593856927,
      -0.00497327479109133,
      -0.005003871496115049,
      -0.005033947802323552,
      -0.0050635125920876255,
      -0.0050925745080058794,
      -0.0051211420693650965,
      -0.005149223737676108,
      -0.005176827682592834,
      -0.005203962125583059,
      -0.0052306349842520805,
      -0.005256854011552921,
      -0.005282627144391212,
      -0.005307961981351446,
      -0.005332865735918041,
      -0.005357345856723722,
      -0.005381409624045462,
      -0.005405064114836978,
      -0.0054283163131555534,
      -0.0054511729977896155,
      -0.005473640915020612,
      -0.005495726582571971,
      -0.005517436531299008,
      -0.005538777184719122,
      -0.005559754807819831,
      -0.005580375538000252
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334167350160072,
      10.09156472834795,
      9.84180017905805,
      9.587769091154922,
      9.332136922936021,
      9.07722909700922,
      8.824982087809603,
      8.57692329512778,
      8.334173584564327,
      8.097473285968132,
      7.867222114937201,
      7.643530653465908,
      7.426277350798624,
      7.215166313129687,
      7.00978211733685,
      6.809639078262055,
      6.614223558529325,
      6.42302887002147,
      6.235582964024025,
      6.051469479175991,
      5.87034153770093,
      5.691917543016082,
      5.515977210157436,
      5.342383502124491,
      5.171065337156047,
      5.002040813172844,
      4.835448858859744,
      4.671518409948576,
      4.510532215418662,
      4.352802640120134,
      4.198679455940417,
      4.0485411233697475,
      3.9027619899852377,
      3.7616974178504474,
      3.625673128619869,
      3.4949746477429193,
      3.369837522973392,
      3.2504421040350446,
      3.13690842322882,
      3.029281101396162,
      2.927528256102901,
      2.8315496925514942,
      2.7411521694029855,
      2.65607946157481,
      2.5760615882935065,
      2.500825175728032,
      2.430099721725813,
      2.363619133005217,
      2.3011084232720798,
      2.2422617979650448,
      2.186699453544895,
      2.1340629162731575,
      2.084018601981314,
      2.036262173809896,
      1.990530157190086,
      1.9466029628691044,
      1.9043035714961714,
      1.8634794358537194,
      1.8240026503302786,
      1.7857589444442814,
      1.7486531943610646,
      1.7126103589830568,
      1.6775731443832196,
      1.6434937947150705,
      1.610329443301182,
      1.578041029554626,
      1.5465927305879403,
      1.5159519510058133,
      1.4860881417546048,
      1.4569723215775359,
      1.4285769763925809,
      1.4008761006352384,
      1.3738459541188415,
      1.34746289181223,
      1.3217021503691064,
      1.2965407139293896,
      1.271957357861651,
      1.2479322968887299,
      1.2244469432041478,
      1.2014837368315263,
      1.1790260219138287,
      1.1570579548817679,
      1.1355649630291706,
      1.1145340770926713,
      1.093953111566129,
      1.0738102657436321,
      1.0540936857721654,
      1.0347916595492754,
      1.0158927320294597,
      0.997385768858291,
      0.979259989642774,
      0.961504982041975,
      0.9441107030371554,
      0.9270674733969688,
      0.9103659679202023,
      0.8939972032461012,
      0.877952524291642,
      0.8622235908128545,
      0.8468023630781546,
      0.831681088626594,
      0.8168522893768829,
      0.8023087489491834,
      0.7880435005844193,
      0.7740498157054917,
      0.7603211935349744,
      0.7468513506255993,
      0.733634211389483,
      0.7206638979803338,
      0.7079347225056115,
      0.6954411784113178,
      0.6831779327311627,
      0.6711398188283745,
      0.6593218289200555,
      0.6477191076786678,
      0.6363269459627842,
      0.6251407746410537,
      0.6141561587978972,
      0.6033687925570178,
      0.592774617230364,
      0.5823704654083356,
      0.5721533249171202,
      0.562119898116875,
      0.5522667510848126,
      0.5425904001514263,
      0.5330873653178194,
      0.5237542023140987,
      0.5145875220656755,
      0.5055840009776802,
      0.4967403872989683,
      0.4880535033944962,
      0.47952024661511794,
      0.4711375885460863,
      0.4629025737326065,
      0.4548123178817666,
      0.4468640092520123,
      0.43905518449102027,
      0.4313835648217541,
      0.4238467661192858,
      0.4164423614017852,
      0.40916791814267156,
      0.4020210213431012,
      0.3949992870685258,
      0.3881003701004745,
      0.3813219688777536,
      0.3746618270717044,
      0.36811775310647726,
      0.3616877393467898,
      0.3553698429941231,
      0.3491620927965476,
      0.3430625163466158,
      0.3370691562042364,
      0.33118007929786747,
      0.3253933826757407,
      0.31970719693562105,
      0.314119694806824,
      0.3086291169829083,
      0.30323373763017275,
      0.2979318504287398,
      0.29272177406984257,
      0.28760185529683935,
      0.28257047045043415,
      0.27762602629331457,
      0.2727669601486298,
      0.2679917396397489,
      0.2632988619964291,
      0.2586868540126999,
      0.2541542714139233,
      0.2496996980810473,
      0.24532174552779185,
      0.24101905211199653,
      0.2367902825799788,
      0.23263411147916502,
      0.2285490717789097,
      0.2245336827079722,
      0.22058657840929977,
      0.21670647355010816,
      0.2128921417528879,
      0.20914240169196646,
      0.20545610798210043,
      0.2018322024320553,
      0.19826997772361316,
      0.1947687631370008,
      0.1913277251724427,
      0.1879458557112211,
      0.18462211154959948,
      0.18135547093003887,
      0.1781449320135636,
      0.1749895124507884,
      0.17188824825431692,
      0.16884019326118707,
      0.16584441908307695,
      0.16290001435598964,
      0.16000608436281386,
      0.15716175073583963,
      0.1543661509914659,
      0.15161843846222406,
      0.1489177817936208,
      0.14626336452042202,
      0.14365438495054722,
      0.14109005573985098,
      0.13856960369791074,
      0.13609226955753917,
      0.13365730747274152,
      0.13126398498800387,
      0.1289115827479196,
      0.12659939410579907,
      0.12432672504397216,
      0.12209289392251171,
      0.11989723112577223,
      0.11773907878407573,
      0.1156177908185492,
      0.11353273247566713,
      0.11148328019679768,
      0.10946882128784542,
      0.10748875398685596,
      0.1055424870639745,
      0.10362943958345983,
      0.10174904073725494,
      0.0999007299286489,
      0.0980839562469829,
      0.09629817847153055,
      0.09454286465584073,
      0.0928174923671764,
      0.09112154811824058,
      0.08945452758069715,
      0.08781593497702003,
      0.08620528323427185,
      0.0846220936138633,
      0.08306589579050448,
      0.08153622768708367,
      0.0800326352622333,
      0.07855467220510629,
      0.07710189996343474,
      0.0756738876075439,
      0.07427021167114685,
      0.07289045591704756,
      0.07153421138308774,
      0.07020107613628386,
      0.06889065517327385,
      0.06760256031395494,
      0.06633641010097115,
      0.06509182965999383,
      0.06386845057138087,
      0.06266591072716611,
      0.06148385416037407,
      0.060321931100654196,
      0.05917979785544325,
      0.058057116809112505,
      0.056953555801848674,
      0.05586878849627781,
      0.05480249414782548,
      0.053754357702244786,
      0.05272406934115694,
      0.051711324651803635,
      0.05071582435248631,
      0.04973727431120976,
      0.04877538539859516,
      0.04782987350018357,
      0.046900459407120246,
      0.04598686862393981,
      0.0450888314551883,
      0.04420608256571605,
      0.043338361388147784,
      0.042485411832481855,
      0.041646982232529335,
      0.04082282499706118,
      0.04001269693847391,
      0.039216359019970615,
      0.038433576284004255,
      0.037664117713712156,
      0.03690775623672643,
      0.036164268712051355,
      0.03543343593849104,
      0.03471504235373366,
      0.03400887602094169,
      0.03331472864216241,
      0.032632395400854886,
      0.031961675066227976,
      0.03130236988862682,
      0.030654285540188335,
      0.030017230915771485,
      0.029391018175871853,
      0.028775462680641486,
      0.028170382917664324,
      0.0275756004540244,
      0.026990940104549763,
      0.02641622943778357,
      0.02585129902426564,
      0.0252959823213062,
      0.024750115664193783,
      0.024213538223909193,
      0.023686091849009234,
      0.023167621102042835,
      0.02265797319842191,
      0.022156997892147128,
      0.02166454750471007,
      0.02118047695785729,
      0.02070464361271691,
      0.020236907201321118,
      0.019777129900694773,
      0.019325176359488456,
      0.018880913301273422,
      0.018444209874225133,
      0.018014937380207378,
      0.017592969406923075,
      0.017178181606164973,
      0.016770451670854964,
      0.0163696595493518,
      0.015975687203942653,
      0.015588418453669112,
      0.015207739256934276,
      0.014833537480800296,
      0.014465702887604341,
      0.014104127179965412,
      0.013748703767059,
      0.013399327932033273,
      0.01305589681589769,
      0.012718309255815963,
      0.012386465827568426,
      0.012060268735363132,
      0.011739621829234863,
      0.01142443064782321,
      0.01111460249312131,
      0.010810046092390111,
      0.01051067163457844,
      0.010216391079773656,
      0.00992711764830396,
      0.009642766072041472,
      0.009363252622325149,
      0.00908849497887507,
      0.008818412186686124,
      0.008552924866516669,
      0.008291954795096049,
      0.00803542508192519,
      0.007783260140957408,
      0.007535385686752565,
      0.007291728786523626,
      0.007052217618331653,
      0.0068167815392460975,
      0.006585351247133139,
      0.006357858610298705,
      0.006134236711944129,
      0.00591441971486417,
      0.0056983427747596465,
      0.0054859421801164545,
      0.005277155496553487,
      0.005071921271119222,
      0.004870179007137161,
      0.004671869168584413,
      0.004476933455347829,
      0.004285314517165593,
      0.004096955830280345,
      0.003911801978193545,
      0.003729798395824477,
      0.0035508914926228423,
      0.003375028613960223,
      0.0032021578917282517,
      0.003032228498728321,
      0.002865190328278125,
      0.0027009941219974676,
      0.0025395916388662614,
      0.0023809353642685947,
      0.002224978527136519,
      0.00207167520236859,
      0.001920980207010437,
      0.0017728491518949451,
      0.0016272383690443006,
      0.0014841050203364767,
      0.0013434069928286272,
      0.001205102854304127,
      0.00106915188797558,
      0.0009355140660545229,
      0.0008041500133919979,
      0.0006750210250686334,
      0.0005480890666423576,
      0.00042331677769886047,
      0.0003006674207265768,
      0.0001801048130607357,
      6.159357301023794e-05,
      -5.490122284079556e-05,
      -0.00016941401104689257,
      -0.00028197848221435916,
      -0.00039262778988217447,
      -0.0005013943876529823,
      -0.0006083103220357522,
      -0.0007134071677543255,
      -0.000816715986003563,
      -0.0009182670774165628,
      -0.001018090336697871,
      -0.0011162152171078068,
      -0.0012126704960825129,
      -0.0013074847320366726,
      -0.0014006858228232365,
      -0.0014923011344917688,
      -0.0015823576022722051,
      -0.0016708818236077158,
      -0.001757899774606479,
      -0.0018434371601017832,
      -0.0019275190946718796,
      -0.002010170513025834,
      -0.00209141573332058,
      -0.00217127863563079,
      -0.0022497827619910008,
      -0.0023269511541948,
      -0.002402806660725492,
      -0.0024773714283937032,
      -0.002550667600125603,
      -0.0026227166510810087,
      -0.0026935398484494,
      -0.0027631580358150123,
      -0.002831591721422211,
      -0.002898860999673213,
      -0.0029649857381717137,
      -0.0030299853822171787,
      -0.0030938790501475306,
      -0.0031566856338601464,
      -0.003218423637581766,
      -0.003279111218860474,
      -0.003338766240650346,
      -0.0033974062715124037,
      -0.003455048610001855,
      -0.00351171026995043,
      -0.003567407805583472,
      -0.0036221576563391367,
      -0.0036759760077695125,
      -0.0037288787090028162,
      -0.003780881392006635,
      -0.0038319992722675154,
      -0.0038822473611134,
      -0.003931640416565722,
      -0.003980193179380544,
      -0.004027919871133158,
      -0.0040748344726647,
      -0.00412095091910853,
      -0.004166282728056509,
      -0.004210843218377385,
      -0.004254645536800425,
      -0.004297702487001077,
      -0.004340026853440001,
      -0.004381631101589259,
      -0.004422527452382403,
      -0.004462728000113603,
      -0.0045022445819343365,
      -0.004541088754159687,
      -0.004579272035064687,
      -0.004616805676321817,
      -0.004653700713752277,
      -0.004689967946838311,
      -0.004725618095826137,
      -0.004760661697362281,
      -0.004795109114282694,
      -0.004828970416961914,
      -0.004862255620247404,
      -0.0048949744490205515,
      -0.004927136586713003,
      -0.004958751471199756,
      -0.004989828529248624,
      -0.005020376825360979,
      -0.005050405377500949,
      -0.005079923020420516,
      -0.005108938408811815,
      -0.005137460146599132,
      -0.00516549662334279,
      -0.005193056092043892,
      -0.005220146618626082,
      -0.005246776247352526,
      -0.005272952771331912,
      -0.005298683858798704,
      -0.005323977114948373,
      -0.005348840009913089,
      -0.005373279863748054,
      -0.005397303976761251,
      -0.005420919403808379,
      -0.005444132956491762,
      -0.005466951401731892,
      -0.005489381672902151,
      -0.005511430349684588,
      -0.005533103925962823,
      -0.005554408733343704,
      -0.00557535111235524,
      -0.00559593717652892
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334165028789629,
      10.091554348691371,
      9.841776459929632,
      9.587727325940085,
      9.332073018868215,
      9.077140215637263,
      8.824866438155926,
      8.576779836451054,
      8.33400186845039,
      8.097273232197121,
      7.866993861561548,
      7.643274454899382,
      7.425993506828662,
      7.2148551293917205,
      7.009443891237261,
      6.809274104533114,
      6.613832148769535,
      6.422611384895315,
      6.235139849266803,
      6.051001304214645,
      5.869849061227606,
      5.691401808092486,
      5.515439484445601,
      5.341825191868199,
      5.170488007971374,
      5.0014468757740955,
      4.83484142381778,
      4.670900668798063,
      4.509907460661682,
      4.352174367303302,
      4.198051434926096,
      4.047917032011218,
      3.9021453401398967,
      3.7610914931179114,
      3.625080928809487,
      3.494398846290854,
      3.369280431587757,
      3.249905649554803,
      3.1363940527585106,
      3.028789633981694,
      2.9270599696384423,
      2.8311043308515305,
      2.740728777265226,
      2.655676921644158,
      2.5756785535640137,
      2.5004601324283167,
      2.4297512037783973,
      2.3632857286242874,
      2.3007886311858905,
      2.241953624360878,
      2.186400832630305,
      2.1337719071885264,
      2.083733139404015,
      2.035980570961361,
      1.990251099394166,
      1.946325477948249,
      1.9040269398232643,
      1.8632031223288321,
      1.8237262138668555,
      1.785481972785805,
      1.7483754141012444,
      1.7123319038121791,
      1.6772943564148428,
      1.6432148956835622,
      1.6100505776184897,
      1.5777622920698224,
      1.5463141932893243,
      1.5156736757189888,
      1.4858101697685093,
      1.4566946816910893,
      1.4282996894504079,
      1.4005991898033745,
      1.3735694493570034,
      1.3471868321032705,
      1.3214265703311925,
      1.2962656394690895,
      1.2716828092821046,
      1.2476582910612113,
      1.2241734954135104,
      1.2012108615332664,
      1.178753733319728,
      1.1567862673224272,
      1.1352939057966969,
      1.1142636857857673,
      1.0936834236082766,
      1.0735413099342581,
      1.05382548590328,
      1.0345242361648685,
      1.0156261031953686,
      0.9971199513674108,
      0.9789949996406624,
      0.9612408348702518,
      0.9438474138203594,
      0.9268050572051697,
      0.9101044396082829,
      0.8937365777854579,
      0.8776928164750833,
      0.8619648152483709,
      0.8465445343698236,
      0.8314242212355962,
      0.8165963977216315,
      0.8020538473380201,
      0.7877896029815881,
      0.7737969364236208,
      0.7600693466180333,
      0.7466005498289516,
      0.7333844699934166,
      0.7204152293280729,
      0.7076871398174589,
      0.6951946946883154,
      0.6829325605711021,
      0.6708955704075648,
      0.659078716166781,
      0.6474771422320902,
      0.6360861393499389,
      0.6249011379858712,
      0.6139177031559376,
      0.6031315287062047,
      0.5925385956843718,
      0.5821357887394886,
      0.5719200579445821,
      0.5618880823848691,
      0.5520364135236144,
      0.5423615586058833,
      0.53286003164763,
      0.523528384525734,
      0.5143632255077382,
      0.505361229774925,
      0.4965191443500016,
      0.4878337908934411,
      0.47930206595259633,
      0.4709209408121361,
      0.4626874595501862,
      0.45459873756387825,
      0.44665197398876677,
      0.4388447196453059,
      0.43117468537047937,
      0.42363948025252585,
      0.4162366731232685,
      0.4089638288069889,
      0.4018185303906733,
      0.39479839249450094,
      0.3879010692196275,
      0.3811242583694285,
      0.37446570332444096,
      0.36792321637152964,
      0.36149479546488444,
      0.3551784934804794,
      0.34897233660103727,
      0.3428743505696819,
      0.33688257662448234,
      0.33099508081495604,
      0.3252099599381595,
      0.31952534409943667,
      0.31393940654828195,
      0.3084503890029914,
      0.30305656443637785,
      0.29775622585830386,
      0.2925476915537526,
      0.28742930791609644,
      0.28239945117951715,
      0.27745652783366637,
      0.2725989750013076,
      0.26782526006020074,
      0.26313388025210854,
      0.25852336220597993,
      0.2539922615190793,
      0.2495391619788196,
      0.24516267494898406,
      0.24086143874431054,
      0.23663411798214373,
      0.23247939080779229,
      0.22839579515389455,
      0.22438184706167105,
      0.2204361785991748,
      0.21655750299050247,
      0.21274459306587196,
      0.2089962668702635,
      0.20531137863773152,
      0.2016888661258077,
      0.19812801657534349,
      0.1946281625211216,
      0.19118847051451732,
      0.18780793125477255,
      0.18448550410661183,
      0.18122016883015582,
      0.1780109245936724,
      0.1748567894517106,
      0.1717567997843875,
      0.16871000988177717,
      0.16571549125894508,
      0.16277233262321195,
      0.1598796393820008,
      0.15703653310354876,
      0.15424215145145145,
      0.15149564768408813,
      0.1487961903225442,
      0.14614296303142085,
      0.14353516409517625,
      0.14097200616459857,
      0.13845271601087006,
      0.13597653425009879,
      0.13354271524132413,
      0.13115052644514097,
      0.1287992484511516,
      0.12648817467477314,
      0.124216611105756,
      0.12198387610119006,
      0.11978929998070728,
      0.11763222492598104,
      0.11551200488517842,
      0.11342800512658184,
      0.11137960203163783,
      0.10936618303145033,
      0.10738714638808322,
      0.10544190085817871,
      0.10352986549907167,
      0.10165046965504607,
      0.09980315269114133,
      0.09798736372237228,
      0.0962025615472129,
      0.09444821439120865,
      0.09272379966950198,
      0.09102880397142915,
      0.08936272283491233,
      0.08772506068538352,
      0.08611533051555878,
      0.08453305369071648,
      0.08297775992287075,
      0.08144898715973353,
      0.07994628121941721,
      0.07846919598747756,
      0.07701729288531198,
      0.07559014088386828,
      0.07418731662697807,
      0.07280840398723284,
      0.0714529940902396,
      0.07012068505941563,
      0.06881108194197355,
      0.06752379659003703,
      0.06625844760139993,
      0.06501466012264502,
      0.06379206576235781,
      0.06259030244492343,
      0.06140901440528536,
      0.060247851965515166,
      0.059106471412874305,
      0.05798453500845349,
      0.05688171083958115,
      0.05579767264626169,
      0.05473209979602057,
      0.05368467705035178,
      0.05265509469828867,
      0.05164304830968431,
      0.050648238673921805,
      0.04967037178988591,
      0.04870915860177988,
      0.047764315091132756,
      0.04683556213299303,
      0.04592262522771437,
      0.04502523457762561,
      0.04414312518783314,
      0.04327603655626666,
      0.04242371250109378,
      0.04158590133256051,
      0.040762355688647146,
      0.039952832317200045,
      0.039157092173072575,
      0.03837490040992174,
      0.03760602605787664,
      0.036850242116076244,
      0.036107325635599895,
      0.03537705736601397,
      0.03465922168939203,
      0.03395360682963511,
      0.03326000456085985,
      0.03257821024752924,
      0.03190802270772478,
      0.031249244140510786,
      0.030601680231801806,
      0.029965139999920367,
      0.029339435616175365,
      0.02872438251085719,
      0.02811979924379299,
      0.027525507469734315,
      0.026941331979443903,
      0.026367100402830308,
      0.025802643508400697,
      0.025247794815139734,
      0.024702390603116523,
      0.024166270119251574,
      0.023639275247413803,
      0.02312125055789807,
      0.02261204335443391,
      0.022111503420194058,
      0.021619483174186178,
      0.02113583755793068,
      0.02066042398295665,
      0.0201931022622818,
      0.0197337345960412,
      0.019282185617084165,
      0.018838322210684832,
      0.01840201359113852,
      0.017973131088402833,
      0.017551548229469104,
      0.017137140694429676,
      0.016729786382850418,
      0.016329365266134172,
      0.015935759343377272,
      0.015548852535141077,
      0.015168530826621835,
      0.014794682132322262,
      0.01442719628931067,
      0.014065964905498588,
      0.013710881557802805,
      0.013361841635928674,
      0.013018742275718568,
      0.012681482273828662,
      0.012349962225395531,
      0.01202408447126435,
      0.011703752905939323,
      0.011388873135726514,
      0.011079352445866043,
      0.010775099568007217,
      0.010476024775349292,
      0.010182039925357092,
      0.009893058489157374,
      0.009608995288549577,
      0.009329766543522551,
      0.00905528998889841,
      0.008785484818575849,
      0.008520271534268493,
      0.008259571855967715,
      0.008003309070261764,
      0.007751407601930459,
      0.007503793188230944,
      0.007260392899168432,
      0.00702113501678294,
      0.006785949084387483,
      0.0065547656621172,
      0.006327516696764759,
      0.006104135305664194,
      0.005884555571523933,
      0.005668712728946253,
      0.005456543272871937,
      0.005247984683921779,
      0.005042975501215036,
      0.004841455297166499,
      0.004643364841324772,
      0.004448645766082731,
      0.004257240528307285,
      0.004069092705273745,
      0.0038841469448701238,
      0.0037023487355897174,
      0.0035236445489167083,
      0.003347981603653874,
      0.0031753081995410017,
      0.003005573450578426,
      0.0028387273399907665,
      0.0026747206953946006,
      0.00251350525033338,
      0.002355033575660068,
      0.002199258861474912,
      0.0020461351280777664,
      0.0018956173186314338,
      0.0017476611034578581,
      0.0016022229412129415,
      0.0014592599335537136,
      0.0013187299684238732,
      0.0011805915673608381,
      0.001044804142547336,
      0.0009113276657301071,
      0.0007801227591690845,
      0.000651150827402135,
      0.0005243738101459688,
      0.0003997543891997074,
      0.0002772558546547449,
      0.00015684217706266783,
      3.8477783284774164e-05,
      -7.787222058276824e-05,
      -0.0001922420715633752,
      -0.0003046654716679406,
      -0.00041517561838950073,
      -0.000523805156899143,
      -0.0006305860536537746,
      -0.000735549703029079,
      -0.0008387270186172333,
      -0.000940148465488106,
      -0.0010398438045881178,
      -0.0011378423622083996,
      -0.0012341731195967523,
      -0.0013288644707313592,
      -0.0014219443144923671,
      -0.0015134400687835566,
      -0.0016033787593306291,
      -0.001691786711908404,
      -0.0017786901205489088,
      -0.001864114552054345,
      -0.0019480851608990473,
      -0.002030626641821045,
      -0.0021117633267811334,
      -0.00219151911495734,
      -0.002269917636621459,
      -0.002346981983369943,
      -0.0024227347733718632,
      -0.0024971983735522134,
      -0.0025703946950268986,
      -0.0026423452916811514,
      -0.002713071368479462,
      -0.0027825937375850376,
      -0.0028509330272733693,
      -0.0029181093494756965,
      -0.0029841423339584,
      -0.0030490515492004357,
      -0.003112856076509315,
      -0.0031755747886511258,
      -0.0032372261883351337,
      -0.0032978282966620153,
      -0.003357399022653743,
      -0.0034159558900489703,
      -0.003473516233666725,
      -0.0035300970252612443,
      -0.0035857148513593253,
      -0.0036403861374637346,
      -0.003694126976962828,
      -0.003746953213603062,
      -0.0037988804335870627,
      -0.003849923912249642,
      -0.0039000987123884176,
      -0.003949419584157885,
      -0.003997901099356519,
      -0.0040455575943204565,
      -0.004092402971421782,
      -0.004138451110371331,
      -0.004183715565891205,
      -0.00422820966586566,
      -0.004271946519063437,
      -0.004314939034676165,
      -0.004357199865083114,
      -0.004398741544328175,
      -0.0044395762512742225,
      -0.004479716035393304,
      -0.004519172705150391,
      -0.004557957861600604,
      -0.0045960829120361615,
      -0.004633559076798008,
      -0.004670397496747995,
      -0.004706608984484319,
      -0.004742204168707492,
      -0.0047771934656872005,
      -0.004811587285675899,
      -0.004845395794059228,
      -0.004878628861916165,
      -0.004911296365847048,
      -0.004943407959420427,
      -0.004974973002941932,
      -0.0050060009055428265,
      -0.005036500806017219,
      -0.0050664816148780776,
      -0.005095952170386373,
      -0.0051249212221817705,
      -0.005153397243049736,
      -0.005181388634097229,
      -0.0052089036112458395,
      -0.005235950320200347,
      -0.005262536747572346,
      -0.0052886705741445675,
      -0.005314359656817222,
      -0.0053396115948425174,
      -0.005364433645267533,
      -0.005388833203081966,
      -0.005412817607546909,
      -0.005436393884814185,
      -0.005459568991899064,
      -0.005482349691034656,
      -0.005504742640064526,
      -0.005526754450442747,
      -0.005548391687430005,
      -0.005569660692671767,
      -0.005590567837927115,
      -0.0056111191428189055
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334162710877845,
      10.091543988553129,
      9.841752785165465,
      9.587685637326606,
      9.332009229701622,
      9.07705149085848,
      8.824750989889859,
      8.576636627119822,
      8.333830451662253,
      8.09707353004574,
      7.8667660131490775,
      7.643018715083575,
      7.42571017659648,
      7.214544516153752,
      7.00910629501126,
      6.808909820076266,
      6.613441486958291,
      6.422194704951644,
      6.234697597410988,
      6.050534051453275,
      5.869357565281853,
      5.6908871135789605,
      5.514902859271834,
      5.341268042038623,
      5.169911899602473,
      5.000854218888924,
      4.834235327153312,
      4.670284319748288,
      4.509284150239922,
      4.351547587948958,
      4.197424951200225,
      4.047294516380658,
      3.9015302982939506,
      3.7604872026772123,
      3.624490381849771,
      3.4938247087143073,
      3.368725008520446,
      3.2493708615420367,
      3.1358813412496307,
      3.028299812941875,
      2.9265933116671072,
      2.8306605747681024,
      2.740306963416829,
      2.655275929654575,
      2.5752970346788437,
      2.5000965725839936,
      2.429404137286855,
      2.3629537446966866,
      2.3004702281919776,
      2.2416468085025536,
      2.1861035399270645,
      2.1334821989441943,
      2.0834489537564083,
      2.0357002238743047,
      1.9899732778734873,
      1.9460492120629207,
      1.9037515115223345,
      1.8629279980412659,
      1.8234509534431707,
      1.7852061647880597,
      1.748098786399954,
      1.712054591544482,
      1.6770167025922857,
      1.6429371228925325,
      1.6097728317328408,
      1.577484668326734,
      1.5460367624779363,
      1.5153965006375023,
      1.4855332925057343,
      1.4564181314145135,
      1.428023486988336,
      1.4003233587300297,
      1.3732940200031751,
      1.3469118433241631,
      1.3211520567757795,
      1.2959916263134763,
      1.271409317113878,
      1.2473853374370893,
      1.223901095836844,
      1.2009390306662104,
      1.1784824857688365,
      1.1565156173884534,
      1.1350238830775061,
      1.113994326111289,
      1.0934147646579648,
      1.0732733814480147,
      1.0535583110073423,
      1.034257834653921,
      1.0153604931123144,
      0.9968551496974719,
      0.9787310225278127,
      0.960977698272377,
      0.9435851330776569,
      0.926543647556712,
      0.9098439163867573,
      0.8934769557807285,
      0.877434110654455,
      0.8617070402909722,
      0.8462877051517159,
      0.8311683524350232,
      0.8163415038160514,
      0.8017999427647513,
      0.7875367023350767,
      0.7735450538764612,
      0.7598184962430832,
      0.7463507456289034,
      0.733135725663127,
      0.7201675583094548,
      0.70744055488326,
      0.6949492086325146,
      0.6826881861498555,
      0.6706523200917769,
      0.6588366019842503,
      0.6472361760057905,
      0.635846332595063,
      0.6246625018722257,
      0.6136802482309699,
      0.6028952653958535,
      0.5923035744319721,
      0.5819021119968277,
      0.5716877905872578,
      0.5616572660117257,
      0.5518070753978771,
      0.5421337163696966,
      0.5326336970566389,
      0.5233035655034726,
      0.5141399276713499,
      0.5051394569276189,
      0.49629889913901337,
      0.4876150752779567,
      0.479084881536932,
      0.4707052884322097,
      0.462473339818594,
      0.45438615087327605,
      0.4464409314697663,
      0.4386352469195953,
      0.4309667971779231,
      0.4234331847362465,
      0.4160319741744864,
      0.4087607276020745,
      0.4016170263027348,
      0.39459848376504647,
      0.3877027532658025,
      0.38092753185478034,
      0.3742705626298963,
      0.3677296620791647,
      0.36130283362800625,
      0.3549881256959859,
      0.3487835615407334,
      0.3426871651653484,
      0.3366969766325958,
      0.3308110613995039,
      0.32502751550996645,
      0.31934446886241064,
      0.3137600952960872,
      0.30827263725435583,
      0.30288036680146074,
      0.2975815762822137,
      0.2923745833257778,
      0.2872577341706034,
      0.2822294047450147,
      0.277288001243929,
      0.27243196063047515,
      0.2676597501660863,
      0.2629698670554865,
      0.2583608378148637,
      0.25383121790181623,
      0.2493795909984235,
      0.24500456835736364,
      0.24070478822525454,
      0.2364789151544859,
      0.23232563100321238,
      0.2282434787956917,
      0.2242309710566438,
      0.22028673779384486,
      0.2164094909172998,
      0.21259800226303385,
      0.20885108929907256,
      0.2051676060452372,
      0.2015464858912603,
      0.1979870107272218,
      0.19448851635535258,
      0.19105016956870016,
      0.18767095996078412,
      0.18434984921129458,
      0.1810858186623106,
      0.17787786831111954,
      0.17472501682575908,
      0.1716263009982455,
      0.16858077527869883,
      0.16558751145946496,
      0.1626455983122699,
      0.15975414121001721,
      0.15691226179641898,
      0.15411909767889312,
      0.15137380199704928,
      0.14867554335699282,
      0.14602350532974157,
      0.14341688622640647,
      0.14085489869110748,
      0.13833676944842593,
      0.13586173923106837,
      0.133429062308471,
      0.13103800627790502,
      0.1286878517033346,
      0.12637789198420457,
      0.12410743310958071,
      0.12187579343800681,
      0.11968230329251885,
      0.11752630489174319,
      0.11540715217155535,
      0.11332421033818582,
      0.11127685579436157,
      0.1092644760503756,
      0.10728646930160848,
      0.10534224435915045,
      0.10343122039211643,
      0.10155282675501483,
      0.09970650285528289,
      0.09789169781228846,
      0.09610787045417667,
      0.09435448895344571,
      0.09263103081786798,
      0.09093698271037037,
      0.08927184015953535,
      0.08763510768284545,
      0.08602629820274789,
      0.08444493313786806,
      0.0828905422977057,
      0.08136266369857525,
      0.07986084324949151,
      0.07838463470127634,
      0.07693359962328424,
      0.07550730717585873,
      0.07410533395430913,
      0.07272726379912697,
      0.07137268784845041,
      0.07004120430209891,
      0.06873241825535631,
      0.06744594175526152,
      0.06618139331885152,
      0.06493839814349474,
      0.06371658791777501,
      0.06251560063143013,
      0.061335080573471513,
      0.06017467813099442,
      0.05903404956892954,
      0.05791285721031792,
      0.056810769180722066,
      0.055727459209447314,
      0.0546626067695043,
      0.05361589675852013,
      0.05258701948347455,
      0.051575670582673545,
      0.050581550916645415,
      0.04960436653309799,
      0.04864382849205212,
      0.04769965276093823,
      0.046771560115172604,
      0.04585927622260399,
      0.044962531456956466,
      0.04408106073838124,
      0.04321460365232054,
      0.042362904147186596,
      0.04152571056658233,
      0.04070277559628709,
      0.039893856024448775,
      0.03909871298495944,
      0.03831711160037287,
      0.03754882110445997,
      0.036793614509432804,
      0.03605126867612789,
      0.03532156449421429,
      0.034604286485889646,
      0.03389922283764429,
      0.03320616545836717,
      0.03252490961917509,
      0.03185525431905732,
      0.031197001894601895,
      0.0305499580818268,
      0.02991393173499213,
      0.02928873518068449,
      0.02867418396179974,
      0.028070096695853423,
      0.02747629515516879,
      0.026892604111021092,
      0.026318851304133205,
      0.02575486732439923,
      0.025200485813841503,
      0.024655543286784598,
      0.024119878923127593,
      0.02359333472797922,
      0.023075755403322795,
      0.022566988154048038,
      0.022066882805575953,
      0.021575291869744728,
      0.021092070450887655,
      0.020617075912686574,
      0.02015016814014693,
      0.019691209531605903,
      0.0192400646828186,
      0.018796600467293395,
      0.01836068605552771,
      0.017932193000532257,
      0.01751099489360442,
      0.017096967473698016,
      0.01668998868099337,
      0.016289938286824186,
      0.015896698376929922,
      0.015510153143713925,
      0.015130188533905364,
      0.014756692501742868,
      0.014389554868462608,
      0.014028667342135105,
      0.013673923532073834,
      0.013325218881626051,
      0.012982450512524512,
      0.01264551734984953,
      0.012314320037012105,
      0.011988760909017113,
      0.011668744073850358,
      0.011354175017051276,
      0.011044961071136318,
      0.010741011077319597,
      0.010442235352451553,
      0.010148545827165876,
      0.009859855923038322,
      0.009576080499056097,
      0.009297135912238274,
      0.009022939956715945,
      0.008753411738208821,
      0.008488471891186926,
      0.00822804221656661,
      0.007972045864718518,
      0.007720407339231255,
      0.007473052544307388,
      0.007229908557516949,
      0.006990903585567266,
      0.006755967172134209,
      0.006525030163394943,
      0.006298024442836563,
      0.006074883153899297,
      0.005855540475696274,
      0.0056399317018069805,
      0.005427993215509181,
      0.005219662602625595,
      0.005014878412834211,
      0.0048135802558417675,
      0.004615708863180848,
      0.004421205830175002,
      0.004230013876608564,
      0.004042076609131612,
      0.003857338573516799,
      0.0036757452530617315,
      0.0034972432365306862,
      0.003321779836668716,
      0.0031493033541482997,
      0.0029797630081761567,
      0.002813108737103113,
      0.0026492914092936504,
      0.00248826273809946,
      0.0023299753343544952,
      0.002174382418289861,
      0.0020214381195784534,
      0.0018710974242245203,
      0.001723316004400938,
      0.0015780502227017968,
      0.0014352572786509783,
      0.0012948950598222373,
      0.0011569223137767092,
      0.001021298237959364,
      0.0008879827647524962,
      0.0007569366969287617,
      0.0006281215028434052,
      0.0005014991586804085,
      0.00037703227282447906,
      0.00025468418717201197,
      0.00013441885856142673,
      1.620083834592171e-05,
      -0.00010000477794978132,
      -0.00021423228387221647,
      -0.0003265153124885073,
      -0.00043688682185406337,
      -0.0005453794916536561,
      -0.0006520253425877686,
      -0.0007568558368503778,
      -0.000859901753177395,
      -0.0009611935179123897,
      -0.0010607609680377066,
      -0.0011586335065980596,
      -0.0012548399509997655,
      -0.0013494086650556127,
      -0.0014423675368675456,
      -0.0015337439865690645,
      -0.0016235649466373875,
      -0.0017118568724260592,
      -0.0017986457821502068,
      -0.0018839572510631758,
      -0.001967816460898708,
      -0.0020502481906832714,
      -0.0021312767740414283,
      -0.0022109259910582544,
      -0.002289219358942838,
      -0.0023661799254310312,
      -0.002441830390969314,
      -0.002516193172481383,
      -0.0025892901031328705,
      -0.002661142760163618,
      -0.002731772256734104,
      -0.0028011993756247694,
      -0.0028694446573936483,
      -0.002936528181908305,
      -0.0030024696090545366,
      -0.0030672884849687774,
      -0.0031310040006722376,
      -0.00319363492743648,
      -0.0032551997223770226,
      -0.0033157164100691547,
      -0.0033752028822948126,
      -0.003433676802793689,
      -0.0034911553777172955,
      -0.00354765545503113,
      -0.0036031937115723446,
      -0.003657786508414756,
      -0.0037114499616410497,
      -0.003764199852837339,
      -0.003816051792843722,
      -0.003867021079623395,
      -0.003917122681746205,
      -0.003966371430974054,
      -0.0040147817877856365,
      -0.004062368057120039,
      -0.004109144304679301,
      -0.004155124272158841,
      -0.004200321501172403,
      -0.00424474936738199,
      -0.004288421005704015,
      -0.00433134918379106,
      -0.004373546574958348,
      -0.004415025616892312,
      -0.004455798560468779,
      -0.00449587752442227,
      -0.004535274237401411,
      -0.004574000255902338,
      -0.004612067009559047,
      -0.004649485718739795,
      -0.004686267470552666,
      -0.0047224230969150184,
      -0.004757963229731959,
      -0.004792898431862298,
      -0.004827238818398957,
      -0.004860994643914926,
      -0.004894175852607593,
      -0.0049267921618463386,
      -0.004958853234149012,
      -0.004990368568651624,
      -0.005021347334757938,
      -0.005051798828223331,
      -0.005081731966645728,
      -0.005111155642848402,
      -0.005140078435163441,
      -0.0051685088701527914,
      -0.005196455328995998,
      -0.005223926086497291,
      -0.005250929216570371,
      -0.0052774725855783055,
      -0.005303564087036328,
      -0.005329211468800561,
      -0.00535442229991088,
      -0.005379204019610308,
      -0.005403563902722551,
      -0.005427509011932795,
      -0.005451046454459303,
      -0.005474183219212349,
      -0.005496926070603204,
      -0.005519281804186428,
      -0.00554125706329309,
      -0.005562858149010355,
      -0.005584091439154594,
      -0.005604963222302977,
      -0.0056254797037915355
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334160398662675,
      10.091533652100384,
      9.841729161458169,
      9.587644032882073,
      9.331945563712482,
      9.076962933102905,
      8.824635756206826,
      8.576493681478116,
      8.33365934848316,
      8.096874191371622,
      7.866538577442383,
      7.642763436628812,
      7.4254273569216025,
      7.214234462608724,
      7.008769305570159,
      6.808546189199909,
      6.613051528343793,
      6.421778780795111,
      6.234256154327939,
      6.0500676608044195,
      5.868866985981333,
      5.690373392534676,
      5.514367266602014,
      5.340711986162132,
      5.169336945757525,
      5.0002627772016295,
      4.833630505056274,
      4.66966930310001,
      4.508662226733423,
      4.350922246442469,
      4.196799952545222,
      4.046673527850098,
      3.9009168193129593,
      3.7598845044980607,
      3.6239014513822028,
      3.4932522053620327,
      3.368171229814047,
      3.248837720904903,
      3.1353702735308944,
      3.027811612233118,
      2.9261282330854685,
      2.8302183578709013,
      2.7398866500969756,
      2.6548764017806485,
      2.5749169441788102,
      2.499734406615286,
      2.429058431954737,
      2.3626230905581926,
      2.300153125753217,
      2.2413412660333436,
      2.185807494788036,
      2.1331937145562474,
      2.083165968945171,
      2.035421056886044,
      1.9896966178636446,
      1.9457740909614911,
      1.9034772138036313,
      1.8626539914807425,
      1.8231767988872896,
      1.7849314523004505,
      1.7478232447817064,
      1.7117783566664277,
      1.6767401184037853,
      1.642660412760825,
      1.609496141591264,
      1.5772080939157118,
      1.545760375681556,
      1.5151203639016346,
      1.485257448353261,
      1.4561426095678143,
      1.427748309354498,
      1.4000485481935936,
      1.373019606467129,
      1.346637865727768,
      1.3208785503603577,
      1.2957186175564768,
      1.2711368263723928,
      1.2471133822823064,
      1.2236296925884815,
      1.2006681940762196,
      1.1782122299569584,
      1.1562459570127255,
      1.1347548475103026,
      1.1137259510329058,
      1.0931470878752547,
      1.0730064317791612,
      1.0532921127075545,
      1.0339924085089947,
      1.0150958576623679,
      0.9965913217261567,
      0.978468018395768,
      0.9607155335528442,
      0.943323823241694,
      0.9262832076744801,
      0.9095843613195279,
      0.8932183007626893,
      0.8771763707910559,
      0.8614502304989754,
      0.8460318398799066,
      0.8309134465390295,
      0.816087572147391,
      0.801546999821963,
      0.7872847623323913,
      0.7732941307983604,
      0.7595686040121425,
      0.7461018979045227,
      0.732887935983474,
      0.7199208400674779,
      0.707194921596896,
      0.6947046730579864,
      0.6824447608328185,
      0.6704100173968335,
      0.6585954339877549,
      0.6469961545546107,
      0.6356074692021241,
      0.6244248077544345,
      0.6134437344645434,
      0.6026599424252519,
      0.5920694926408465,
      0.5816693733925264,
      0.571456459239255,
      0.5614273837730503,
      0.5515786692676243,
      0.5419068042243466,
      0.5324082906980743,
      0.523079673017816,
      0.5139175544962342,
      0.5049186070558657,
      0.49607957554735416,
      0.4873972800912087,
      0.4788686162581642,
      0.47049055419044705,
      0.4622601372268851,
      0.4541744803371153,
      0.44623080406797205,
      0.43842668802975665,
      0.4307598213820357,
      0.4232278002316982,
      0.41582818506802904,
      0.40855853488691213,
      0.4014164292784655,
      0.3943994805304114,
      0.3875053410755893,
      0.38073170762236086,
      0.3740763226606304,
      0.367537006884415,
      0.3611117692199417,
      0.3547986537485567,
      0.3485956810609061,
      0.3425008733228309,
      0.336512269312524,
      0.3306279335432018,
      0.3248459616534247,
      0.3191644831480633,
      0.3135816723452179,
      0.3080957727091865,
      0.3027050551438915,
      0.29740781145862333,
      0.29220235889623775,
      0.28708704314878897,
      0.28206023982817596,
      0.27712035506518673,
      0.27226582565214746,
      0.26749511872319065,
      0.2628067312822039,
      0.25819918981052375,
      0.2536710494998043,
      0.2492208940544552,
      0.2448473346927413,
      0.24054900951726707,
      0.2363245829900672,
      0.23217274072031677,
      0.22809203083618135,
      0.22408096244723402,
      0.22013816344999834,
      0.2162623442877177,
      0.2124522759801821,
      0.2087067753163697,
      0.2050246958471703,
      0.20140496712766148,
      0.19784686549279945,
      0.19434973002466077,
      0.190912727618064,
      0.18753484677310836,
      0.18421505162357016,
      0.1809523248002442,
      0.1777456673956864,
      0.17459409871525455,
      0.17149665580904488,
      0.16845239336237466,
      0.1654603833801009,
      0.16251971456302333,
      0.15962949230399803,
      0.1567888383512411,
      0.15399689034751735,
      0.15125280146279593,
      0.14855574020015144,
      0.1459048901864793,
      0.14329944967347444,
      0.14073863137793396,
      0.1382216621338989,
      0.13574778252750563,
      0.1333162468194228,
      0.13092632241685875,
      0.12857729002070054,
      0.12626844309334348,
      0.12399908763845228,
      0.12176854196139283,
      0.11957613646733234,
      0.11742121338224233,
      0.11530312656811106,
      0.11322124123463498,
      0.11117493394762211,
      0.10916359224129715,
      0.10718661429803943,
      0.10524340888447556,
      0.10333339518910649,
      0.10145600263688018,
      0.099610670680222,
      0.09779684851542464,
      0.09601399484437603,
      0.09426157801182553,
      0.09253907545600287,
      0.09084597392909766,
      0.08918176909330491,
      0.08754596531042243,
      0.08593807559176912,
      0.08435762140300089,
      0.08280413260998432,
      0.08127714708787284,
      0.07977621091563848,
      0.07830087796909468,
      0.0768507098153801,
      0.07542527568271498,
      0.07402415226610105,
      0.07264692352532015,
      0.07129318050239038,
      0.06996252141895942,
      0.06865455151339461,
      0.0673688827189238,
      0.06610513372872694,
      0.06486292977386747,
      0.06364190264786586,
      0.06244169031617279,
      0.0612619370288403,
      0.06010229325898794,
      0.05896241549557737,
      0.05784196605553781,
      0.05674061306358731,
      0.05565803031366473,
      0.05459389727541995,
      0.05354789898234829,
      0.0525197257365251,
      0.05150907325012821,
      0.050515642581531475,
      0.04953913963274112,
      0.04857927550234534,
      0.04763576636786458,
      0.046708333104175,
      0.04579670137475503,
      0.04490060151789852,
      0.044019768571882716,
      0.04315394216512945,
      0.042302866283837025,
      0.041466289450875264,
      0.04064396429493211,
      0.039835647679407,
      0.0390411007360349,
      0.038260088654131254,
      0.03749238072706372,
      0.036737750102417234,
      0.035995973738132576,
      0.035266832398547,
      0.034550110785855244,
      0.03384559715231493,
      0.03315308346694663,
      0.03247236508111531,
      0.03180324102426123,
      0.031145513690313077,
      0.030498988797879437,
      0.02986347546516641,
      0.0292387859161967,
      0.02862473573336491,
      0.028021143652322267,
      0.027427831400621498,
      0.026844623942838597,
      0.02627134896788045,
      0.02570783720163754,
      0.02515392227923324,
      0.024609440718127158,
      0.024074231812805262,
      0.02354813759793737,
      0.02303100284103521,
      0.022522674803944945,
      0.022023003555020317,
      0.02153184155393623,
      0.021049043818506766,
      0.02057446787239865,
      0.020107973658025573,
      0.019649423554428506,
      0.019198682251697862,
      0.018755616679211464,
      0.018320096012355187,
      0.017891991688167755,
      0.017471177493236754,
      0.017057529228313054,
      0.016650924921311157,
      0.016251244572225737,
      0.015858370248911954,
      0.015472185955757948,
      0.015092577796180517,
      0.014719433831457412,
      0.014352643883562393,
      0.013992099816095595,
      0.013637695173813769,
      0.013289325324917686,
      0.012946887566249659,
      0.01261028082870846,
      0.012279405878931794,
      0.011954165063693383,
      0.011634462461378796,
      0.011320203714986907,
      0.011011296043521038,
      0.010707648472329585,
      0.010409171360118893,
      0.010115776670748537,
      0.009827377888768035,
      0.009543889845246019,
      0.009265229019975063,
      0.008991313156612736,
      0.008722061397902388,
      0.008457394286527992,
      0.008197233873321327,
      0.00794150344935724,
      0.007690127544206395,
      0.007443031916018402,
      0.007200143800927292,
      0.006961391493877483,
      0.006726704448979866,
      0.006496013441612278,
      0.0062692505766396775,
      0.006046348926624844,
      0.005827242695282146,
      0.005611867315600458,
      0.005400159260091446,
      0.005192056058547833,
      0.004987496288227334,
      0.004786419708282926,
      0.00458876697216396,
      0.0043944798339282665,
      0.004203500779406534,
      0.004015773551239641,
      0.0038312428772530023,
      0.003649854164229116,
      0.003471554015391448,
      0.003296289880672427,
      0.0031240099524381367,
      0.0029546634836761427,
      0.002788200505958837,
      0.002624571932516628,
      0.0024637295307825026,
      0.002305625853980177,
      0.0021502143156580987,
      0.0019974490704411864,
      0.0018472849421632153,
      0.0016996777747606369,
      0.0015545839340924087,
      0.0014119606268529774,
      0.001271765751343693,
      0.0011339580314987721,
      0.0009984967209633576,
      0.000865341939625257,
      0.000734454446802338,
      0.0006057955954241352,
      0.0004793274602036773,
      0.0003550127779025149,
      0.0002328149345798412,
      0.00011269775807418465,
      -5.374197448734534e-06,
      -0.0001214356955475315,
      -0.00023552092846369327,
      -0.00034766362576746054,
      -0.0004578968306352047,
      -0.0005662530233820887,
      -0.0006727642168322032,
      -0.0007774618278545386,
      -0.0008803767433886534,
      -0.000981539339740104,
      -0.001080979385697261,
      -0.0011787262485186177,
      -0.001274808741866983,
      -0.0013692552201274855,
      -0.0014620934604593929,
      -0.0015533509309592266,
      -0.0016430546758291,
      -0.0017312309955204474,
      -0.0018179058869997587,
      -0.0019031049931413756,
      -0.001986853378940421,
      -0.002069175598212956,
      -0.0021500960507165002,
      -0.002229638677306168,
      -0.002307826913771462,
      -0.002384683859513918,
      -0.002460232094333636,
      -0.002534493945445459,
      -0.0026074913332837144,
      -0.0026792458005055076,
      -0.00274977853910129,
      -0.002819110295490613,
      -0.0028872614902888164,
      -0.002954252234653489,
      -0.0030201023521548016,
      -0.0030848313230775032,
      -0.003148458106231348,
      -0.0032110013918478586,
      -0.0032724797636579225,
      -0.0033329113012458013,
      -0.0033923138482957124,
      -0.003450704980877897,
      -0.0035081019045091998,
      -0.0035645215092185442,
      -0.003619980333923324,
      -0.003674494853984724,
      -0.003728081132585126,
      -0.0037807549664419663,
      -0.0038325319223070837,
      -0.0038834272899720195,
      -0.003933456059455241,
      -0.003982632922841278,
      -0.004030972446468097,
      -0.004078488797061201,
      -0.004125196001153485,
      -0.004171107930149921,
      -0.004216238119359162,
      -0.004260599910181858,
      -0.004304206362626918,
      -0.004347070389272001,
      -0.004389204506861507,
      -0.004430621120886974,
      -0.004471332459912693,
      -0.0045113506488294345,
      -0.004550687482997802,
      -0.004589354531906902,
      -0.004627363190850643,
      -0.004664724617535603,
      -0.004701449826803914,
      -0.004737549727572691,
      -0.004773034847426896,
      -0.004807915742997327,
      -0.004842202755230027,
      -0.004875906100911379,
      -0.0049090355308659015,
      -0.0049416008073688835,
      -0.004973611583387625,
      -0.005005077294094888,
      -0.005036007225812796,
      -0.005066410539803082,
      -0.005096296174493126,
      -0.005125672880643429,
      -0.005154549446581734,
      -0.005182934319189507,
      -0.005210835834207614,
      -0.005238262300058486,
      -0.005265221750251059,
      -0.005291722127787799,
      -0.005317771252790108,
      -0.005343376821260005,
      -0.005368546441653409,
      -0.005393287588557851,
      -0.005417607428322082,
      -0.005441513159054724,
      -0.005465011841584534,
      -0.005488110376274213,
      -0.005510815517382482,
      -0.005533134096941733,
      -0.005555072656860008,
      -0.005576637697625375,
      -0.005597835506282345,
      -0.005618672385033095,
      -0.005639154421217125
    ],
    [
      12.561368979360875,
      12.546344444020175,
      12.521238041234152,
      12.48595129000782,
      12.440345997331834,
      12.38424419796911,
      12.317428462517293,
      12.239642887103676,
      12.15059517032761,
      12.04996028133614,
      11.937386318896648,
      11.812503239139135,
      11.674935162893414,
      11.52431692268817,
      11.360315320925627,
      11.182655180465723,
      10.991149614162023,
      10.785732983452238,
      10.566493783834577,
      10.334158090821694,
      10.091523338417321,
      9.841705590031221,
      9.587602518759276,
      9.331882030652043,
      9.07687455215259,
      8.824520745191526,
      8.576351012852788,
      8.333488581625375,
      8.096675249758519,
      7.866311600597292,
      7.642508678263639,
      7.425145117070646,
      7.213925048371669,
      7.008433014898031,
      6.808183318667002,
      6.612662390558359,
      6.421363736733311,
      6.23381564955232,
      6.0496022668711324,
      5.868377462541675,
      5.689860784298097,
      5.51383284233072,
      5.34015715284518,
      5.1687632693685535,
      4.999672665937627,
      4.833027063640243,
      4.669055714066066,
      4.508041773005663,
      4.3502984123082955,
      4.196176495041543,
      4.0460541101587895,
      3.900304936209994,
      3.759283422190271,
      3.623314150514289,
      3.492681338380979,
      3.3676190884725825,
      3.248306212545512,
      3.134860826155121,
      3.0273250049328992,
      2.9256647099996433,
      2.8297776583694665,
      2.739467816887958,
      2.654478316917589,
      2.574538261261236,
      2.499373614424991,
      2.4287140678723054,
      2.3622937463706903,
      2.299837302495931,
      2.2410369734675197,
      2.185512673912107,
      2.1329064308419703,
      2.0828841639668245,
      2.0351430515215396,
      1.9894211052338846,
      1.945500105341208,
      1.903204040455336,
      1.8623811001221535,
      1.8229037524098344,
      1.784657841762113,
      1.7475487993527135,
      1.7115032132528578,
      1.6764646221429034,
      1.6423847876949567,
      1.6092205338630132,
      1.5769325995647911,
      1.5454850669776659,
      1.5148453038098686,
      1.4849826792319425,
      1.4558681610505484,
      1.4274742034334558,
      1.3997748089750872,
      1.3727462641755133,
      1.3463649591781652,
      1.320606114119573,
      1.2954466776870082,
      1.270865403886595,
      1.2468424947957761,
      1.2233593557495492,
      1.200398422670585,
      1.1779430388402499,
      1.1559773613126867,
      1.1344868769027612,
      1.1134586416385632,
      1.0928804780764625,
      1.072740550900007,
      1.0530269844716609,
      1.0337280531988966,
      1.0148322933902303,
      0.996328565276829,
      0.9782060854382792,
      0.9604544397991258,
      0.9430635841123998,
      0.9260238384557244,
      0.9093258772008854,
      0.8929607166040252,
      0.8769197015850047,
      0.8611944913088985,
      0.8457770457628401,
      0.8306596123006953,
      0.815834712234921,
      0.8012951286592802,
      0.7870338941585179,
      0.7730442798472485,
      0.7593197844003725,
      0.745854123454494,
      0.7326412199315948,
      0.7196751955477686,
      0.7069503615520332,
      0.6944612105208454,
      0.6822024082549464,
      0.6701687871102151,
      0.6583553383751524,
      0.6467572053705832,
      0.6353696777986325,
      0.6241881856261143,
      0.6132082926905693,
      0.6024256916868336,
      0.5918364963902947,
      0.5814377280434604,
      0.5712262259454062,
      0.5611986017431727,
      0.551351364060645,
      0.5416809927367899,
      0.5321839844880211,
      0.5228568798224706,
      0.5136962798062806,
      0.5046988546573535,
      0.49586134812648297,
      0.48718057967681705,
      0.47865344427299317,
      0.47027691157039114,
      0.4620480245829604,
      0.45396389793264946,
      0.4460217628255536,
      0.4382192133333921,
      0.43055392803318865,
      0.42302349627546026,
      0.4156254742131112,
      0.40835741824428,
      0.40121690632245804,
      0.3942015495413092,
      0.38730899952193776,
      0.3805369522311787,
      0.3738831499896933,
      0.3673454174749901,
      0.3609217690184307,
      0.3546102440889735,
      0.3484088604869451,
      0.34231563874599047,
      0.33632861657619323,
      0.33044585777632096,
      0.32466545742692754,
      0.3189855445630323,
      0.3134042941465681,
      0.3079199504966241,
      0.3025307836487983,
      0.2972350844567796,
      0.2920311696995459,
      0.286917384774869,
      0.28189210512834195,
      0.2769537367223924,
      0.2721007160741234,
      0.26733151016210716,
      0.262644615926207,
      0.25803855969442474,
      0.25351189680875813,
      0.2490632106115704,
      0.2446911122962001,
      0.2403942397286852,
      0.23617125745496895,
      0.23202085471659495,
      0.22794158485587662,
      0.22393195365198887,
      0.21999058680973205,
      0.21611619342893848,
      0.21230754353160652,
      0.2085634533005024,
      0.2048827759667885,
      0.2012644367898519,
      0.19770770674948998,
      0.19421192815246868,
      0.1907762681943302,
      0.18739971420105406,
      0.18408123276879546,
      0.18081980802900677,
      0.177614441974708,
      0.1744641544245708,
      0.17136798275277734,
      0.1683249819267487,
      0.16533422388609537,
      0.16239479765009052,
      0.15950580872890352,
      0.15666637880570872,
      0.15387564547301477,
      0.15113276194638336,
      0.14843689678130356,
      0.1457872334726836,
      0.14318297024765875,
      0.14062331973346887,
      0.13810750881895412,
      0.13563477818689382,
      0.13320438204585133,
      0.13081558798341006,
      0.12846767655378363,
      0.12615994117738616,
      0.12389168795162689,
      0.12166223508075329,
      0.11947091288322219,
      0.11731706367743686,
      0.11520004143151205,
      0.11311921145623113,
      0.11107395024161924,
      0.10906364524081678,
      0.10708769465676554,
      0.10514550734701615,
      0.10323650250847204,
      0.10136010966360709,
      0.09951576810815597,
      0.0977029271674561,
      0.09592104572311405,
      0.09416959206434705,
      0.09244804376492317,
      0.09075588752804124,
      0.0890926189543376,
      0.08745774240086032,
      0.08585077108032156,
      0.08427122653884335,
      0.08271863861476049,
      0.08119254519419071,
      0.07969249232855125,
      0.0782180339230835,
      0.07676873170150246,
      0.07534415481958186,
      0.07394388009068939,
      0.07256749145321983,
      0.07121458009631315,
      0.0698847442302796,
      0.06857758908898001,
      0.06729272674147706,
      0.06602977592831899,
      0.06478836193206705,
      0.06356811650008164,
      0.06236867779420429,
      0.061189690240067526,
      0.06003080426898228,
      0.05889167622825659,
      0.05777196848212328,
      0.056671349292937045,
      0.055589492622813666,
      0.054526077965998246,
      0.05348079036057111,
      0.05245332021446859,
      0.05144336332321712,
      0.05045062055795752,
      0.049474798017857924,
      0.04851560695713537,
      0.04757276346462475,
      0.046645988511256196,
      0.045735007802663805,
      0.04483955182514245,
      0.04395935565790603,
      0.0430941589272367,
      0.04224370571082672,
      0.041407744532243024,
      0.0405860281243191,
      0.03977831350430589,
      0.03898436181087243,
      0.038203938239605766,
      0.037436812013324335,
      0.036682756328879774,
      0.035941548409259706,
      0.03521296915678746,
      0.03449680314529382,
      0.033792838747109324,
      0.033100867969405055,
      0.03242068620893563,
      0.031752092573529796,
      0.031094889396706307,
      0.030448882535071303,
      0.029813881170164504,
      0.02918969766756136,
      0.028576147709034744,
      0.027973050017843632,
      0.02738022633756384,
      0.026797501549657328,
      0.026224703599694116,
      0.025661663180742502,
      0.02510821400052143,
      0.02456419268424563,
      0.024029438606531315,
      0.023503793721084555,
      0.022987102775693966,
      0.022479213220056325,
      0.021979975117603044,
      0.021489240959582222,
      0.02100686594007371,
      0.020532707554604367,
      0.020066625849962334,
      0.01960848320066826,
      0.019158144310783422,
      0.01871547633303673,
      0.018280348500891865,
      0.017852632284556594,
      0.017432201383544052,
      0.017018931696140292,
      0.016612701157817617,
      0.016213389917948833,
      0.015820880162829686,
      0.015435056016689689,
      0.015055803443639052,
      0.014683010436953857,
      0.014316567139711536,
      0.013956365458706134,
      0.0136022988506859,
      0.013254262884371227,
      0.012912154875294072,
      0.012575873865064122,
      0.012245320473530708,
      0.011920397240651685,
      0.01160100821247527,
      0.011287059111870426,
      0.010978457197757254,
      0.010675111372239053,
      0.01037693217952634,
      0.01008383165218261,
      0.009795723277700556,
      0.00951252198379676,
      0.009234144141629715,
      0.008960507574960783,
      0.00869153157488948,
      0.008427136818627366,
      0.008167245217301443,
      0.007911780086508485,
      0.007660665998449635,
      0.007413828931115328,
      0.007171195977629976,
      0.006932695499417202,
      0.006698257061194155,
      0.00646781149815268,
      0.00624129087358019,
      0.006018628396698727,
      0.0057997581795495665,
      0.0055846156846298695,
      0.005373137497161215,
      0.00516526106951836,
      0.00496092516316983,
      0.00476006940446752,
      0.004562634645891995,
      0.004368562498344017,
      0.004177795738406434,
      0.003990278026002605,
      0.0038059540717580434,
      0.0036247694960416946,
      0.003446670844680417,
      0.0032716054936183757,
      0.003099521818051768,
      0.002930368963598371,
      0.0027640970541659383,
      0.0026006569196235715,
      0.0024400004564891337,
      0.0022820803054567976,
      0.002126849824472171,
      0.001974263179311028,
      0.0018242753288673923,
      0.001676841988354686,
      0.0015319196528295236,
      0.0013894656615182814,
      0.001249437973212041,
      0.0011117952174932318,
      0.0009764967613469735,
      0.0008435026132873163,
      0.0007127735654667688,
      0.0005842710266697911,
      0.00045795699833015523,
      0.00033379425607669413,
      0.00021174617175015594,
      9.177667145496576e-05,
      -2.6149581659073523e-05,
      -0.00014206736436222467,
      -0.0002560108580565732,
      -0.0003680136366411026,
      -0.0004781087410709624,
      -0.0005863287455069007,
      -0.0006927055606646657,
      -0.0007972706993061389,
      -0.0009000548716607196,
      -0.0010010884114733025,
      -0.0011004012488048309,
      -0.0011980227284882176,
      -0.001293981572708832,
      -0.0013883060956685176,
      -0.0014810241236620837,
      -0.001572162932801345,
      -0.0016617494703740111,
      -0.001749810295429641,
      -0.0018363713585510728,
      -0.001921458186481758,
      -0.002005095861468488,
      -0.0020873089479449426,
      -0.00216812182435612,
      -0.0022475583274400805,
      -0.002325641890272537,
      -0.0024023955573874963,
      -0.002477841929422666,
      -0.002552003226255226,
      -0.0026249014379292044,
      -0.0026965581374558717,
      -0.0027669944700567917,
      -0.0028362311980230067,
      -0.0029042887569240977,
      -0.002971187151258402,
      -0.003036946198214456,
      -0.003101585287608304,
      -0.0031651233690001743,
      -0.0032275792932295352,
      -0.003288971472630208,
      -0.0033493180810068275,
      -0.003408636870308639,
      -0.0034669454185227446,
      -0.0035242609313891594,
      -0.003580600233716223,
      -0.0036359798925799367,
      -0.00369041637166054,
      -0.0037439257012252714,
      -0.003796523649418852,
      -0.003848225790300492,
      -0.0038990473615084136,
      -0.003949003394346109,
      -0.003998108537015426,
      -0.0040463772713778354,
      -0.004093823906128981,
      -0.004140462493122234,
      -0.0041863067869850655,
      -0.00423137028646382,
      -0.004275666249249459,
      -0.004319207833134419,
      -0.004362007816806923,
      -0.004404078847320803,
      -0.0044454333178722575,
      -0.0044860834991471855,
      -0.004526041377779378,
      -0.004565318703214966,
      -0.004603927078464724,
      -0.004641877814742495,
      -0.004679182236779836,
      -0.004715851339104541,
      -0.0047518959629620295,
      -0.004787326673392574,
      -0.004822153908906462,
      -0.0048563879015995366,
      -0.004890038818990916,
      -0.004923116638680246,
      -0.0049556310283657545,
      -0.0049875916575728785,
      -0.005019007929966499,
      -0.005049889058724608,
      -0.0050802441470206745,
      -0.005110082255601778,
      -0.005139412203113304,
      -0.005168242651511075,
      -0.0051965820956781416,
      -0.005224438922014065,
      -0.005251821333302323,
      -0.005278737349159288,
      -0.005305194958397799,
      -0.005331201921310423,
      -0.005356765895687811,
      -0.0053818944983966424,
      -0.00540659506205391,
      -0.005430875039038016,
      -0.005454741528109132,
      -0.005478201461463306,
      -0.005501261765497216,
      -0.005523929273455615,
      -0.0055462107457859375,
      -0.005568112807806894,
      -0.0055896418357843525,
      -0.0056108040771840366,
      -0.005631605853517571,
      -0.005652053356076811
    ]
  ],
  "time": [
    0.0,
    0.02,
    0.04,
    0.06,
    0.08,
    0.1,
    0.12,
    0.14,
    0.16,
    0.18,
    0.2,
    0.22,
    0.24,
    0.26,
    0.28,
    0.3,
    0.32,
    0.34,
    0.36,
    0.38,
    0.4,
    0.42,
    0.44,
    0.46,
    0.48,
    0.5,
    0.52,
    0.54,
    0.56,
    0.58,
    0.6,
    0.62,
    0.64,
    0.66,
    0.68,
    0.7000000000000001,
    0.72,
    0.74,
    0.76,
    0.78,
    0.8,
    0.8200000000000001,
    0.84,
    0.86,
    0.88,
    0.9,
    0.92,
    0.9400000000000001,
    0.96,
    0.98,
    1.0,
    1.02,
    1.04,
    1.06,
    1.08,
    1.1,
    1.12,
    1.1400000000000001,
    1.16,
    1.18,
    1.2,
    1.22,
    1.24,
    1.26,
    1.28,
    1.3,
    1.32,
    1.34,
    1.36,
    1.3800000000000001,
    1.4000000000000001,
    1.42,
    1.44,
    1.46,
    1.48,
    1.5,
    1.52,
    1.54,
    1.56,
    1.58,
    1.6,
    1.62,
    1.6400000000000001,
    1.6600000000000001,
    1.68,
    1.7,
    1.72,
    1.74,
    1.76,
    1.78,
    1.8,
    1.82,
    1.84,
    1.86,
    1.8800000000000001,
    1.9000000000000001,
    1.92,
    1.94,
    1.96,
    1.98,
    2.0,
    2.02,
    2.04,
    2.06,
    2.08,
    2.1,
    2.12,
    2.14,
    2.16,
    2.18,
    2.2,
    2.22,
    2.24,
    2.2600000000000002,
    2.2800000000000002,
    2.3000000000000003,
    2.32,
    2.34,
    2.36,
    2.38,
    2.4,
    2.42,
    2.44,
    2.46,
    2.48,
    2.5,
    2.52,
    2.54,
    2.56,
    2.58,
    2.6,
    2.62,
    2.64,
    2.66,
    2.68,
    2.7,
    2.72,
    2.74,
    2.7600000000000002,
    2.7800000000000002,
    2.8000000000000003,
    2.82,
    2.84,
    2.86,
    2.88,
    2.9,
    2.92,
    2.94,
    2.96,
    2.98,
    3.0,
    3.02,
    3.04,
    3.06,
    3.08,
    3.1,
    3.12,
    3.14,
    3.16,
    3.18,
    3.2,
    3.22,
    3.24,
    3.2600000000000002,
    3.2800000000000002,
    3.3000000000000003,
    3.3200000000000003,
    3.34,
    3.36,
    3.38,
    3.4,
    3.42,
    3.44,
    3.46,
    3.48,
    3.5,
    3.52,
    3.54,
    3.56,
    3.58,
    3.6,
    3.62,
    3.64,
    3.66,
    3.68,
    3.7,
    3.72,
    3.74,
    3.7600000000000002,
    3.7800000000000002,
    3.8000000000000003,
    3.8200000000000003,
    3.84,
    3.86,
    3.88,
    3.9,
    3.92,
    3.94,
    3.96,
    3.98,
    4.0,
    4.0200000000000005,
    4.04,
    4.0600000000000005,
    4.08,
    4.1,
    4.12,
    4.14,
    4.16,
    4.18,
    4.2,
    4.22,
    4.24,
    4.26,
    4.28,
    4.3,
    4.32,
    4.34,
    4.36,
    4.38,
    4.4,
    4.42,
    4.44,
    4.46,
    4.48,
    4.5,
    4.5200000000000005,
    4.54,
    4.5600000000000005,
    4.58,
    4.6000000000000005,
    4.62,
    4.64,
    4.66,
    4.68,
    4.7,
    4.72,
    4.74,
    4.76,
    4.78,
    4.8,
    4.82,
    4.84,
    4.86,
    4.88,
    4.9,
    4.92,
    4.94,
    4.96,
    4.98,
    5.0,
    5.0200000000000005,
    5.04,
    5.0600000000000005,
    5.08,
    5.1000000000000005,
    5.12,
    5.14,
    5.16,
    5.18,
    5.2,
    5.22,
    5.24,
    5.26,
    5.28,
    5.3,
    5.32,
    5.34,
    5.36,
    5.38,
    5.4,
    5.42,
    5.44,
    5.46,
    5.48,
    5.5,
    5.5200000000000005,
    5.54,
    5.5600000000000005,
    5.58,
    5.6000000000000005,
    5.62,
    5.64,
    5.66,
    5.68,
    5.7,
    5.72,
    5.74,
    5.76,
    5.78,
    5.8,
    5.82,
    5.84,
    5.86,
    5.88,
    5.9,
    5.92,
    5.94,
    5.96,
    5.98,
    6.0,
    6.0200000000000005,
    6.04,
    6.0600000000000005,
    6.08,
    6.1000000000000005,
    6.12,
    6.140000000000001,
    6.16,
    6.18,
    6.2,
    6.22,
    6.24,
    6.26,
    6.28,
    6.3,
    6.32,
    6.34,
    6.36,
    6.38,
    6.4,
    6.42,
    6.44,
    6.46,
    6.48,
    6.5,
    6.5200000000000005,
    6.54,
    6.5600000000000005,
    6.58,
    6.6000000000000005,
    6.62,
    6.640000000000001,
    6.66,
    6.68,
    6.7,
    6.72,
    6.74,
    6.76,
    6.78,
    6.8,
    6.82,
    6.84,
    6.86,
    6.88,
    6.9,
    6.92,
    6.94,
    6.96,
    6.98,
    7.0,
    7.0200000000000005,
    7.04,
    7.0600000000000005,
    7.08,
    7.1000000000000005,
    7.12,
    7.140000000000001,
    7.16,
    7.18,
    7.2,
    7.22,
    7.24,
    7.26,
    7.28,
    7.3,
    7.32,
    7.34,
    7.36,
    7.38,
    7.4,
    7.42,
    7.44,
    7.46,
    7.48,
    7.5,
    7.5200000000000005,
    7.54,
    7.5600000000000005,
    7.58,
    7.6000000000000005,
    7.62,
    7.640000000000001,
    7.66,
    7.68,
    7.7,
    7.72,
    7.74,
    7.76,
    7.78,
    7.8,
    7.82,
    7.84,
    7.86,
    7.88,
    7.9,
    7.92,
    7.94,
    7.96,
    7.98,
    8.0,
    8.02,
    8.040000000000001,
    8.06,
    8.08,
    8.1,
    8.120000000000001,
    8.14,
    8.16,
    8.18,
    8.2,
    8.22,
    8.24,
    8.26,
    8.28,
    8.3,
    8.32,
    8.34,
    8.36,
    8.38,
    8.4,
    8.42,
    8.44,
    8.46,
    8.48,
    8.5,
    8.52,
    8.540000000000001,
    8.56,
    8.58,
    8.6,
    8.620000000000001,
    8.64,
    8.66,
    8.68,
    8.700000000000001,
    8.72,
    8.74,
    8.76,
    8.78,
    8.8,
    8.82,
    8.84,
    8.86,
    8.88,
    8.9,
    8.92,
    8.94,
    8.96,
    8.98,
    9.0,
    9.02,
    9.040000000000001,
    9.06,
    9.08,
    9.1,
    9.120000000000001,
    9.14,
    9.16,
    9.18,
    9.200000000000001,
    9.22,
    9.24,
    9.26,
    9.28,
    9.3,
    9.32,
    9.34,
    9.36,
    9.38,
    9.4,
    9.42,
    9.44,
    9.46,
    9.48,
    9.5,
    9.52,
    9.540000000000001,
    9.56,
    9.58,
    9.6,
    9.620000000000001,
    9.64,
    9.66,
    9.68,
    9.700000000000001,
    9.72,
    9.74,
    9.76,
    9.78,
    9.8,
    9.82,
    9.84,
    9.86,
    9.88,
    9.9,
    9.92,
    9.94,
    9.96,
    9.98
  ]
}